01_taxi/notebooks/02_q_agent.ipynb

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  {
   "cell_type": "markdown",
   "id": "f0fd6807",
   "metadata": {},
   "source": [
    "# 02 Q-agent"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abcf6613",
   "metadata": {},
   "source": [
    "#### 👉Let's use Q-learning to train a smart taxi driver.\n",
    "\n",
    "#### 👉A smart taxi driver should incur no penalties (i.e. no crashes) and minimize the timesteps to complete the ride."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e3629346",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n",
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/paulabartabajo/src/online-courses/hands-on-rl/01_taxi/.venv/lib/python3.7/site-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['info', 'random']\n",
      "`%matplotlib` prevents importing * from pylab and numpy\n",
      "  \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%pylab inline\n",
    "%config InlineBackend.figure_format = 'svg'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76e9a06d",
   "metadata": {},
   "source": [
    "## Environment 🌎"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ebfba291",
   "metadata": {},
   "outputs": [],
   "source": [
    "import gym\n",
    "env = gym.make(\"Taxi-v3\").env"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e9e7c87",
   "metadata": {},
   "source": [
    "## Q-agent 🤖🧠"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a5ee8884",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "class QAgent:\n",
    "\n",
    "    def __init__(self, env, alpha, gamma):\n",
    "        self.env = env\n",
    "\n",
    "        # table with q-values: n_states * n_actions\n",
    "        self.q_table = np.zeros([env.observation_space.n,\n",
    "                                 env.action_space.n])\n",
    "\n",
    "        # hyper-parameters\n",
    "        self.alpha = alpha  # learning rate\n",
    "        self.gamma = gamma  # discount factor\n",
    "\n",
    "    def get_action(self, state):\n",
    "        \"\"\"\"\"\"\n",
    "        return np.argmax(self.q_table[state])\n",
    "\n",
    "    def update_parameters(self, state, action, reward, next_state):\n",
    "        \"\"\"\"\"\"\n",
    "        # Q-learning formula\n",
    "        old_value = self.q_table[state, action]\n",
    "        next_max = np.max(self.q_table[next_state])\n",
    "        new_value = \\\n",
    "            old_value + \\\n",
    "            self.alpha * (reward + self.gamma * next_max - old_value)\n",
    "\n",
    "        # update the q_table\n",
    "        self.q_table[state, action] = new_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "13436308",
   "metadata": {},
   "outputs": [],
   "source": [
    "# hyper-parameters\n",
    "# RL problems are full of these hyper-parameters.\n",
    "# For the moment, trust me when I set these values.\n",
    "# We will later play with these and see how they impact learning.\n",
    "alpha = 0.1\n",
    "gamma = 0.6\n",
    "\n",
    "agent = QAgent(env, alpha, gamma)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "851dfc0a",
   "metadata": {},
   "source": [
    "## Training loop 🎡"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "5e08672d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████████████████████████████████████████████████████████| 10000/10000 [00:09<00:00, 1105.20it/s]\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "from tqdm import tqdm\n",
    "\n",
    "# exploration vs exploitation prob\n",
    "epsilon = 0.1\n",
    "\n",
    "n_episodes = 10000\n",
    "\n",
    "# For plotting metrics\n",
    "timesteps_per_episode = []\n",
    "penalties_per_episode = []\n",
    "\n",
    "\n",
    "for i in tqdm(range(0, n_episodes)):\n",
    "    \n",
    "    state = env.reset()\n",
    "\n",
    "    epochs, penalties, reward, = 0, 0, 0\n",
    "    done = False\n",
    "    \n",
    "    while not done:\n",
    "        \n",
    "        if random.uniform(0, 1) < epsilon:\n",
    "            # Explore action space\n",
    "            action = env.action_space.sample()\n",
    "        else:\n",
    "            # Exploit learned values\n",
    "            action = agent.get_action(state)\n",
    "        \n",
    "        next_state, reward, done, info = env.step(action) \n",
    "        \n",
    "        agent.update_parameters(state, action, reward, next_state)\n",
    "        \n",
    "        if reward == -10:\n",
    "            penalties += 1\n",
    "\n",
    "        state = next_state\n",
    "        epochs += 1\n",
    "        \n",
    "    timesteps_per_episode.append(epochs)\n",
    "    penalties_per_episode.append(penalties)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "218461f8",
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226.335255 \nL 116.5369 228.95691 \nL 116.597778 228.825827 \nL 116.658657 216.635135 \nL 116.719536 229.743406 \nL 116.780415 220.043285 \nL 116.841294 224.237932 \nL 116.902172 220.305451 \nL 117.02393 229.612323 \nL 117.084809 221.091947 \nL 117.145688 225.679842 \nL 117.206567 229.612323 \nL 117.389203 214.93106 \nL 117.510961 229.874489 \nL 117.632718 222.66494 \nL 117.693597 228.039331 \nL 117.754476 226.204173 \nL 117.815355 220.829782 \nL 117.876234 228.95691 \nL 117.937112 217.814879 \nL 117.997991 227.908248 \nL 118.05887 216.372969 \nL 118.119749 228.694744 \nL 118.180628 227.908248 \nL 118.241506 210.212082 \nL 118.302385 222.66494 \nL 118.424143 229.350158 \nL 118.485022 221.091947 \nL 118.5459 227.252834 \nL 118.606779 222.009526 \nL 118.728537 229.219075 \nL 118.850295 228.170413 \nL 118.911173 228.694744 \nL 118.972052 224.237932 \nL 119.032931 228.301496 \nL 119.154689 219.78112 \nL 119.215567 225.810925 \nL 119.276446 224.762263 \nL 119.459083 229.481241 \nL 119.519962 227.646083 \nL 119.58084 220.174368 \nL 119.641719 229.612323 \nL 119.702598 225.942007 \nL 119.763477 228.563662 \nL 119.824356 228.301496 \nL 119.946113 228.694744 \nL 120.006992 218.601376 \nL 120.067871 222.009526 \nL 120.12875 228.563662 \nL 120.189629 227.121752 \nL 120.250507 225.810925 \nL 120.311386 226.466338 \nL 120.494023 228.170413 \nL 120.554901 214.275646 \nL 120.61578 229.087992 \nL 120.676659 228.039331 \nL 120.737538 227.383917 \nL 120.798417 228.825827 \nL 120.920174 218.470293 \nL 120.981053 228.825827 \nL 121.041932 227.646083 \nL 121.102811 218.33921 \nL 121.16369 222.66494 \nL 121.285447 227.908248 \nL 121.346326 217.290548 \nL 121.407205 229.350158 \nL 121.468084 226.728504 \nL 121.528962 227.121752 \nL 121.65072 220.174368 \nL 121.711599 229.743406 \nL 121.772478 227.908248 \nL 121.833357 226.728504 \nL 121.894235 228.825827 \nL 122.015993 219.650037 \nL 122.076872 225.942007 \nL 122.320387 213.095902 \nL 122.381266 227.515 \nL 122.442145 225.286594 \nL 122.503023 229.612323 \nL 122.563902 223.582519 \nL 122.624781 227.777165 \nL 122.68566 229.219075 \nL 122.746539 228.170413 \nL 122.807418 225.942007 \nL 122.868296 227.646083 \nL 122.929175 226.597421 \nL 122.990054 227.515 \nL 123.17269 220.567616 \nL 123.233569 228.301496 \nL 123.294448 226.859586 \nL 123.355327 225.417676 \nL 123.416206 226.07309 \nL 123.598842 229.481241 \nL 123.659721 227.646083 \nL 123.7206 228.694744 \nL 123.781479 215.062142 \nL 123.842357 226.597421 \nL 123.903236 221.354112 \nL 123.964115 221.485195 \nL 124.024994 220.174368 \nL 124.20763 228.825827 \nL 124.329388 224.106849 \nL 124.390267 227.646083 \nL 124.451146 225.155511 \nL 124.512024 220.960864 \nL 124.633782 229.350158 \nL 124.877297 216.635135 \nL 124.938176 229.481241 \nL 124.999055 229.219075 \nL 125.181691 228.563662 \nL 125.24257 228.432579 \nL 125.303449 225.679842 \nL 125.425207 229.874489 \nL 125.486085 229.350158 \nL 125.546964 229.612323 \nL 125.668722 219.125706 \nL 125.729601 227.777165 \nL 125.79048 222.66494 \nL 125.973116 228.170413 \nL 126.033995 224.237932 \nL 126.216631 229.350158 \nL 126.338389 216.110804 \nL 126.521025 229.350158 \nL 126.703662 225.942007 \nL 126.764541 228.039331 \nL 126.825419 217.814879 \nL 126.886298 220.960864 \nL 126.947177 227.777165 \nL 127.008056 225.417676 \nL 127.068935 225.417676 \nL 127.129813 229.350158 \nL 127.190692 224.237932 \nL 127.251571 228.432579 \nL 127.31245 228.301496 \nL 127.373329 229.219075 \nL 127.434208 228.301496 \nL 127.495086 228.694744 \nL 127.555965 228.694744 \nL 127.616844 226.07309 \nL 127.677723 228.694744 \nL 127.738602 225.024428 \nL 127.79948 226.597421 \nL 127.860359 229.087992 \nL 127.921238 220.829782 \nL 127.982117 229.219075 \nL 128.042996 226.466338 \nL 128.164753 228.825827 \nL 128.225632 228.825827 \nL 128.286511 229.350158 \nL 128.469147 223.713601 \nL 128.530026 224.893346 \nL 128.590905 229.219075 \nL 128.651784 228.95691 \nL 128.712663 218.33921 \nL 128.83442 229.612323 \nL 128.895299 229.087992 \nL 128.956178 221.878443 \nL 129.017057 225.679842 \nL 129.077936 225.679842 \nL 129.138814 229.087992 \nL 129.199693 226.466338 \nL 129.260572 226.859586 \nL 129.321451 225.679842 \nL 129.38233 218.994624 \nL 129.443208 229.219075 \nL 129.504087 225.286594 \nL 129.564966 228.95691 \nL 129.625845 228.301496 \nL 129.686724 227.383917 \nL 129.747602 229.481241 \nL 129.86936 218.601376 \nL 129.930239 229.219075 \nL 129.991118 228.039331 \nL 130.051997 227.515 \nL 130.112875 228.563662 \nL 130.173754 218.601376 \nL 130.234633 229.481241 \nL 130.295512 219.256789 \nL 130.356391 226.466338 \nL 130.417269 229.219075 \nL 130.539027 221.485195 \nL 130.660785 229.087992 \nL 130.782542 222.009526 \nL 130.843421 227.121752 \nL 130.9043 223.582519 \nL 130.965179 227.908248 \nL 131.026058 227.515 \nL 131.086936 227.383917 \nL 131.147815 216.372969 \nL 131.208694 223.844684 \nL 131.269573 229.087992 \nL 131.330452 222.66494 \nL 131.39133 226.466338 \nL 131.513088 229.350158 \nL 131.573967 226.204173 \nL 131.634846 228.825827 \nL 131.756603 220.305451 \nL 131.817482 229.350158 \nL 131.878361 225.679842 \nL 131.93924 229.612323 \nL 132.000119 219.650037 \nL 132.060997 226.859586 \nL 132.243634 223.975767 \nL 132.365392 228.563662 \nL 132.42627 227.646083 \nL 132.608907 223.451436 \nL 132.669786 224.106849 \nL 132.730664 222.66494 \nL 132.791543 228.825827 \nL 132.852422 228.694744 \nL 132.913301 227.383917 \nL 132.97418 228.694744 \nL 133.156816 226.597421 \nL 133.278574 229.350158 \nL 133.339453 226.728504 \nL 133.400331 229.481241 \nL 133.46121 220.698699 \nL 133.522089 226.597421 \nL 133.582968 224.369015 \nL 133.643847 224.762263 \nL 133.704725 226.466338 \nL 133.765604 223.582519 \nL 133.826483 228.95691 \nL 133.887362 228.039331 \nL 134.00912 224.63118 \nL 134.069998 227.777165 \nL 134.130877 223.844684 \nL 134.252635 229.481241 \nL 134.313514 218.077045 \nL 134.374392 224.500098 \nL 134.435271 225.286594 \nL 134.49615 222.402774 \nL 134.617908 228.825827 \nL 134.678787 227.252834 \nL 134.739665 227.383917 \nL 134.800544 229.350158 \nL 134.922302 219.78112 \nL 134.983181 227.908248 \nL 135.044059 226.990669 \nL 135.165817 229.481241 \nL 135.226696 225.417676 \nL 135.287575 227.908248 \nL 135.348453 229.350158 \nL 135.409332 221.878443 \nL 135.470211 229.219075 \nL 135.53109 228.039331 \nL 135.652848 226.990669 \nL 135.713726 224.237932 \nL 135.774605 228.432579 \nL 135.835484 225.548759 \nL 135.896363 228.694744 \nL 135.957242 227.646083 \nL 136.01812 228.694744 \nL 136.078999 226.466338 \nL 136.139878 228.432579 \nL 136.200757 227.515 \nL 136.261636 222.271691 \nL 136.322515 228.694744 \nL 136.383393 225.810925 \nL 136.505151 229.219075 \nL 136.687787 224.237932 \nL 136.748666 227.515 \nL 136.809545 224.237932 \nL 136.870424 229.350158 \nL 136.931303 224.63118 \nL 137.05306 229.481241 \nL 137.113939 223.582519 \nL 137.235697 229.219075 \nL 137.296576 229.350158 \nL 137.357454 228.432579 \nL 137.418333 223.18927 \nL 137.540091 228.95691 \nL 137.661848 224.369015 \nL 137.722727 229.481241 \nL 137.783606 227.383917 \nL 137.844485 227.252834 \nL 137.905364 225.286594 \nL 137.966243 229.612323 \nL 138.027121 229.219075 \nL 138.088 228.95691 \nL 138.148879 221.485195 \nL 138.209758 226.466338 \nL 138.270637 227.777165 \nL 138.331515 226.07309 \nL 138.514152 228.301496 \nL 138.575031 229.219075 \nL 138.63591 228.432579 \nL 138.696788 222.140609 \nL 138.818546 229.612323 \nL 139.062061 222.402774 \nL 139.12294 228.825827 \nL 139.183819 228.301496 \nL 139.244698 227.515 \nL 139.427334 228.301496 \nL 139.488213 228.432579 \nL 139.609971 224.106849 \nL 139.670849 226.204173 \nL 139.731728 222.402774 \nL 139.792607 229.481241 \nL 139.853486 227.777165 \nL 139.914365 224.237932 \nL 140.097001 229.612323 \nL 140.15788 228.039331 \nL 140.218759 223.058188 \nL 140.340516 229.481241 \nL 140.584032 223.713601 \nL 140.64491 229.087992 \nL 140.705789 222.402774 \nL 140.766668 227.121752 \nL 140.827547 229.481241 \nL 141.010183 222.796022 \nL 141.071062 223.713601 \nL 141.131941 228.694744 \nL 141.19282 227.252834 \nL 141.253699 224.500098 \nL 141.314577 229.087992 \nL 141.375456 221.878443 \nL 141.436335 229.743406 \nL 141.497214 222.140609 \nL 141.558093 227.252834 \nL 141.618971 224.369015 \nL 141.740729 229.219075 \nL 141.801608 229.087992 \nL 141.862487 227.252834 \nL 142.045123 217.814879 \nL 142.106002 229.219075 \nL 142.166881 227.121752 \nL 142.349517 228.563662 \nL 142.410396 226.597421 \nL 142.593032 229.219075 \nL 142.653911 228.95691 \nL 142.836548 224.106849 \nL 142.958305 228.825827 \nL 143.019184 228.170413 \nL 143.080063 222.271691 \nL 143.140942 224.237932 \nL 143.201821 221.616278 \nL 143.384457 229.219075 \nL 143.506215 227.383917 \nL 143.567094 228.170413 \nL 143.627972 220.043285 \nL 143.688851 226.466338 \nL 143.74973 227.121752 \nL 143.810609 221.747361 \nL 143.871488 228.170413 \nL 143.932366 227.252834 \nL 144.054124 229.087992 \nL 144.175882 226.204173 \nL 144.23676 228.825827 \nL 144.297639 222.402774 \nL 144.358518 226.204173 \nL 144.480276 229.350158 \nL 144.541155 226.597421 \nL 144.662912 228.95691 \nL 144.723791 226.990669 \nL 144.78467 229.087992 \nL 144.845549 222.009526 \nL 144.967306 228.95691 \nL 145.028185 227.777165 \nL 145.089064 229.087992 \nL 145.149943 228.825827 \nL 145.210822 226.335255 \nL 145.2717 227.252834 \nL 145.515216 229.087992 \nL 145.576094 221.485195 \nL 145.636973 229.350158 \nL 145.697852 228.694744 \nL 145.758731 227.515 \nL 145.81961 229.481241 \nL 145.880489 229.219075 \nL 145.941367 229.219075 \nL 146.002246 227.121752 \nL 146.063125 228.95691 \nL 146.124004 225.155511 \nL 146.184883 229.481241 \nL 146.245761 228.95691 \nL 146.30664 228.694744 \nL 146.367519 221.485195 \nL 146.428398 229.219075 \nL 146.489277 227.252834 \nL 146.611034 229.481241 \nL 146.671913 218.077045 \nL 146.732792 222.927105 \nL 146.85455 227.515 \nL 146.915428 226.597421 \nL 146.976307 228.95691 \nL 147.037186 224.106849 \nL 147.098065 227.121752 \nL 147.158944 229.481241 \nL 147.219822 224.893346 \nL 147.280701 228.170413 \nL 147.34158 229.612323 \nL 147.402459 229.219075 \nL 147.463338 222.66494 \nL 147.585095 228.95691 \nL 147.645974 221.878443 \nL 147.706853 226.07309 \nL 147.828611 229.612323 \nL 148.011247 221.616278 \nL 148.072126 229.350158 \nL 148.133005 228.694744 \nL 148.193883 223.713601 \nL 148.315641 229.743406 \nL 148.498278 221.878443 \nL 148.559156 222.66494 \nL 148.680914 229.087992 \nL 148.741793 227.908248 \nL 148.86355 229.481241 \nL 148.924429 228.039331 \nL 148.985308 219.518955 \nL 149.107066 229.350158 \nL 149.167945 223.058188 \nL 149.228823 223.844684 \nL 149.350581 228.95691 \nL 149.41146 223.058188 \nL 149.594096 229.219075 \nL 149.654975 220.305451 \nL 149.715854 226.07309 \nL 149.776733 228.563662 \nL 149.837611 227.515 \nL 149.89849 227.646083 \nL 149.959369 222.271691 \nL 150.020248 227.908248 \nL 150.081127 225.024428 \nL 150.142006 224.63118 \nL 150.324642 228.825827 \nL 150.385521 226.204173 \nL 150.4464 227.252834 \nL 150.507278 228.301496 \nL 150.568157 226.335255 \nL 150.629036 228.039331 \nL 150.689915 225.024428 \nL 150.750794 226.728504 \nL 150.811673 229.350158 \nL 150.872551 229.087992 \nL 150.93343 227.515 \nL 150.994309 222.533857 \nL 151.055188 225.810925 \nL 151.176945 228.170413 \nL 151.237824 228.563662 \nL 151.359582 223.18927 \nL 151.420461 228.825827 \nL 151.481339 227.121752 \nL 151.603097 228.95691 \nL 151.785734 223.844684 \nL 151.846612 226.859586 \nL 151.907491 220.960864 \nL 152.029249 229.350158 \nL 152.090128 225.417676 \nL 152.151006 229.481241 \nL 152.211885 226.990669 \nL 152.333643 228.95691 \nL 152.516279 222.927105 \nL 152.698916 229.087992 \nL 152.759795 226.335255 \nL 152.820673 228.563662 \nL 152.881552 226.859586 \nL 152.942431 229.481241 \nL 153.00331 229.087992 \nL 153.185946 226.07309 \nL 153.246825 227.646083 \nL 153.307704 221.616278 \nL 153.368583 227.383917 \nL 153.429462 226.597421 \nL 153.49034 225.417676 \nL 153.551219 227.908248 \nL 153.672977 221.354112 \nL 153.794734 227.252834 \nL 153.855613 226.728504 \nL 153.916492 229.481241 \nL 153.977371 228.563662 \nL 154.03825 228.039331 \nL 154.099129 223.451436 \nL 154.160007 229.612323 \nL 154.220886 228.694744 \nL 154.281765 229.350158 \nL 154.342644 228.95691 \nL 154.52528 228.170413 \nL 154.586159 228.039331 \nL 154.647038 229.612323 \nL 154.829674 225.286594 \nL 155.134068 229.481241 \nL 155.255826 223.582519 \nL 155.316705 229.219075 \nL 155.377584 228.563662 \nL 155.438462 228.432579 \nL 155.621099 225.548759 \nL 155.742857 228.95691 \nL 155.803735 227.777165 \nL 155.864614 223.844684 \nL 155.925493 228.825827 \nL 156.047251 222.009526 \nL 156.229887 228.563662 \nL 156.290766 227.121752 \nL 156.473402 229.612323 \nL 156.59516 227.252834 \nL 156.656039 229.087992 \nL 156.716918 228.95691 \nL 156.777796 229.087992 \nL 156.838675 228.694744 \nL 156.899554 226.990669 \nL 156.960433 227.646083 \nL 157.021312 228.95691 \nL 157.08219 228.170413 \nL 157.203948 228.825827 \nL 157.325706 224.369015 \nL 157.386585 226.466338 \nL 157.447463 223.058188 \nL 157.508342 229.612323 \nL 157.569221 229.481241 \nL 157.6301 229.612323 \nL 157.812736 228.825827 \nL 157.873615 228.563662 \nL 157.995373 227.646083 \nL 158.056252 227.646083 \nL 158.11713 223.320353 \nL 158.178009 228.170413 \nL 158.238888 223.975767 \nL 158.360646 229.350158 \nL 158.421524 226.204173 \nL 158.543282 229.087992 \nL 158.604161 227.646083 \nL 158.66504 229.219075 \nL 158.725919 228.694744 \nL 158.786797 229.087992 \nL 158.908555 227.121752 \nL 159.030313 229.350158 \nL 159.091191 222.533857 \nL 159.15207 228.563662 \nL 159.212949 226.466338 \nL 159.273828 229.087992 \nL 159.334707 224.893346 \nL 159.395585 228.95691 \nL 159.456464 228.825827 \nL 159.517343 228.694744 \nL 159.578222 227.252834 \nL 159.69998 229.350158 \nL 159.760858 228.95691 \nL 159.821737 228.432579 \nL 160.004374 224.893346 \nL 160.18701 228.95691 \nL 160.247889 229.350158 \nL 160.308768 227.252834 \nL 160.369647 228.301496 \nL 160.430525 227.383917 \nL 160.552283 229.481241 \nL 160.613162 223.582519 \nL 160.734919 229.481241 \nL 160.795798 227.121752 \nL 160.856677 229.219075 \nL 160.917556 227.646083 \nL 160.978435 229.350158 \nL 161.039313 229.219075 \nL 161.100192 225.286594 \nL 161.161071 228.825827 \nL 161.22195 227.646083 \nL 161.343708 229.481241 \nL 161.465465 222.533857 \nL 161.587223 228.039331 \nL 161.70898 224.893346 \nL 161.769859 225.286594 \nL 161.830738 228.95691 \nL 161.891617 228.563662 \nL 161.952496 228.694744 \nL 162.074253 226.728504 \nL 162.378647 228.95691 \nL 162.439526 227.252834 \nL 162.500405 227.383917 \nL 162.561284 227.252834 \nL 162.622163 228.95691 \nL 162.683041 228.825827 \nL 162.74392 228.432579 \nL 162.865678 228.95691 \nL 162.926557 226.990669 \nL 163.048314 228.95691 \nL 163.170072 222.927105 \nL 163.29183 229.219075 \nL 163.352708 228.432579 \nL 163.413587 225.548759 \nL 163.535345 228.825827 \nL 163.596224 228.825827 \nL 163.657103 228.170413 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224.500098 \nL 166.88368 228.95691 \nL 166.944559 227.252834 \nL 167.005437 228.432579 \nL 167.066316 227.383917 \nL 167.127195 229.087992 \nL 167.188074 228.039331 \nL 167.248953 229.350158 \nL 167.309831 227.908248 \nL 167.37071 229.481241 \nL 167.553347 226.466338 \nL 167.614226 226.597421 \nL 167.735983 229.481241 \nL 167.796862 229.087992 \nL 167.857741 226.990669 \nL 167.91862 228.432579 \nL 168.040377 228.432579 \nL 168.101256 229.219075 \nL 168.162135 228.170413 \nL 168.223014 229.350158 \nL 168.466529 223.451436 \nL 168.649165 228.825827 \nL 168.831802 226.859586 \nL 168.953559 228.301496 \nL 169.014438 225.024428 \nL 169.197075 229.087992 \nL 169.257954 228.563662 \nL 169.318832 225.286594 \nL 169.44059 229.612323 \nL 169.562348 228.432579 \nL 169.623226 228.825827 \nL 169.684105 228.694744 \nL 169.805863 226.335255 \nL 169.866742 229.219075 \nL 169.92762 226.990669 \nL 169.988499 228.95691 \nL 170.049378 228.563662 \nL 170.171136 229.350158 \nL 170.232015 228.432579 \nL 170.292893 223.975767 \nL 170.353772 229.481241 \nL 170.414651 229.087992 \nL 170.47553 229.087992 \nL 170.536409 225.286594 \nL 170.597287 228.825827 \nL 170.658166 223.844684 \nL 170.840803 228.95691 \nL 170.901682 229.743406 \nL 170.96256 229.219075 \nL 171.145197 227.908248 \nL 171.206076 228.563662 \nL 171.266954 227.646083 \nL 171.327833 228.95691 \nL 171.388712 224.500098 \nL 171.449591 226.859586 \nL 171.51047 229.219075 \nL 171.571348 227.908248 \nL 171.632227 227.908248 \nL 171.814864 229.481241 \nL 171.936621 227.252834 \nL 171.9975 228.563662 \nL 172.058379 228.170413 \nL 172.119258 225.155511 \nL 172.241015 229.087992 \nL 172.301894 228.039331 \nL 172.423652 229.087992 \nL 172.54541 226.204173 \nL 172.606288 229.612323 \nL 172.667167 223.058188 \nL 172.728046 229.612323 \nL 172.788925 228.432579 \nL 172.849804 227.515 \nL 172.910682 224.237932 \nL 173.093319 229.087992 \nL 173.154198 228.694744 \nL 173.215077 226.204173 \nL 173.275955 228.170413 \nL 173.336834 228.694744 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227.777165 \nL 176.380775 227.646083 \nL 176.441654 229.874489 \nL 176.502533 227.646083 \nL 176.563411 228.95691 \nL 176.685169 228.563662 \nL 176.867805 228.95691 \nL 176.928684 227.252834 \nL 176.989563 228.694744 \nL 177.050442 227.777165 \nL 177.172199 228.432579 \nL 177.233078 226.990669 \nL 177.293957 228.694744 \nL 177.354836 226.859586 \nL 177.476594 228.825827 \nL 177.65923 226.859586 \nL 177.720109 228.694744 \nL 177.780988 227.121752 \nL 177.841866 227.908248 \nL 177.902745 227.121752 \nL 178.024503 229.350158 \nL 178.085382 226.204173 \nL 178.146261 226.728504 \nL 178.207139 228.825827 \nL 178.268018 226.204173 \nL 178.389776 229.219075 \nL 178.450655 225.679842 \nL 178.511533 228.432579 \nL 178.572412 228.432579 \nL 178.633291 228.563662 \nL 178.69417 229.087992 \nL 178.815928 226.728504 \nL 178.876806 228.170413 \nL 178.937685 227.383917 \nL 178.998564 227.646083 \nL 179.059443 221.22303 \nL 179.120322 224.237932 \nL 179.242079 229.219075 \nL 179.302958 226.990669 \nL 179.363837 229.350158 \nL 179.424716 222.66494 \nL 179.485594 227.383917 \nL 179.607352 228.825827 \nL 179.668231 222.796022 \nL 179.850867 228.825827 \nL 179.911746 227.383917 \nL 179.972625 222.927105 \nL 180.094383 228.95691 \nL 180.155261 228.563662 \nL 180.21614 229.743406 \nL 180.277019 228.039331 \nL 180.337898 229.481241 \nL 180.398777 228.432579 \nL 180.459656 228.563662 \nL 180.520534 229.219075 \nL 180.703171 225.679842 \nL 180.824928 228.694744 \nL 180.885807 228.95691 \nL 180.946686 228.039331 \nL 181.007565 228.694744 \nL 181.068444 224.369015 \nL 181.129322 227.121752 \nL 181.25108 229.219075 \nL 181.311959 227.252834 \nL 181.372838 228.95691 \nL 181.433717 228.301496 \nL 181.494595 221.747361 \nL 181.677232 229.087992 \nL 181.738111 224.762263 \nL 181.798989 226.335255 \nL 181.859868 228.170413 \nL 181.920747 225.548759 \nL 181.981626 227.121752 \nL 182.103384 228.95691 \nL 182.164262 227.121752 \nL 182.225141 229.219075 \nL 182.346899 226.07309 \nL 182.529535 229.612323 \nL 182.590414 221.485195 \nL 182.651293 227.646083 \nL 182.712172 227.777165 \nL 182.77305 228.432579 \nL 182.833929 225.942007 \nL 182.894808 228.563662 \nL 182.955687 227.252834 \nL 183.138323 229.481241 \nL 183.442717 223.844684 \nL 183.503596 228.694744 \nL 183.564475 226.07309 \nL 183.625354 226.597421 \nL 183.686233 229.350158 \nL 183.80799 225.548759 \nL 183.868869 229.350158 \nL 183.929748 224.500098 \nL 183.990627 228.432579 \nL 184.112384 226.07309 \nL 184.173263 228.825827 \nL 184.234142 228.170413 \nL 184.295021 229.087992 \nL 184.3559 228.039331 \nL 184.416778 229.481241 \nL 184.599415 224.106849 \nL 184.721173 229.481241 \nL 184.903809 225.942007 \nL 184.964688 228.694744 \nL 185.025567 227.252834 \nL 185.208203 229.612323 \nL 185.329961 226.597421 \nL 185.39084 228.95691 \nL 185.451718 223.18927 \nL 185.512597 226.466338 \nL 185.573476 225.679842 \nL 185.695234 229.219075 \nL 185.816991 228.694744 \nL 185.87787 229.350158 \nL 185.938749 226.07309 \nL 185.999628 228.825827 \nL 186.060507 227.252834 \nL 186.182264 229.087992 \nL 186.243143 228.95691 \nL 186.304022 227.383917 \nL 186.364901 229.219075 \nL 186.425779 228.563662 \nL 186.486658 228.825827 \nL 186.669295 226.990669 \nL 186.730173 228.825827 \nL 186.791052 226.597421 \nL 186.851931 227.515 \nL 186.91281 227.777165 \nL 186.973689 226.204173 \nL 187.156325 229.087992 \nL 187.217204 228.039331 \nL 187.278083 228.694744 \nL 187.338962 223.975767 \nL 187.39984 229.087992 \nL 187.460719 228.694744 \nL 187.521598 229.350158 \nL 187.765113 223.058188 \nL 187.825992 228.039331 \nL 187.886871 227.515 \nL 188.008629 228.95691 \nL 188.069507 226.990669 \nL 188.191265 229.350158 \nL 188.252144 224.63118 \nL 188.313023 227.383917 \nL 188.373901 228.95691 \nL 188.43478 228.432579 \nL 188.495659 226.204173 \nL 188.617417 228.170413 \nL 188.678296 228.432579 \nL 188.739174 228.170413 \nL 188.921811 229.743406 \nL 188.98269 227.252834 \nL 189.043568 229.219075 \nL 189.165326 226.990669 \nL 189.226205 229.219075 \nL 189.287084 228.694744 \nL 189.347963 227.121752 \nL 189.408841 228.039331 \nL 189.46972 228.825827 \nL 189.591478 226.859586 \nL 189.713235 229.481241 \nL 189.774114 229.087992 \nL 189.834993 229.350158 \nL 189.895872 228.301496 \nL 189.956751 229.481241 \nL 190.017629 229.219075 \nL 190.078508 226.728504 \nL 190.139387 229.612323 \nL 190.200266 228.170413 \nL 190.322024 228.694744 \nL 190.382902 227.252834 \nL 190.50466 228.95691 \nL 190.565539 228.825827 \nL 190.626418 227.646083 \nL 190.687296 228.95691 \nL 190.748175 226.859586 \nL 190.809054 229.350158 \nL 190.869933 229.219075 \nL 190.930812 229.219075 \nL 190.991691 229.087992 \nL 191.052569 229.350158 \nL 191.113448 227.908248 \nL 191.174327 228.170413 \nL 191.235206 228.95691 \nL 191.296085 225.024428 \nL 191.356963 226.859586 \nL 191.478721 228.95691 \nL 191.5396 227.908248 \nL 191.600479 228.039331 \nL 191.661357 228.170413 \nL 191.722236 228.95691 \nL 191.783115 228.825827 \nL 191.843994 228.694744 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228.95691 \nL 194.948814 227.777165 \nL 195.13145 229.087992 \nL 195.374965 228.301496 \nL 195.435844 228.563662 \nL 195.496723 227.252834 \nL 195.557602 229.350158 \nL 195.61848 228.825827 \nL 195.679359 227.121752 \nL 195.740238 228.039331 \nL 195.801117 229.612323 \nL 195.861996 228.825827 \nL 195.922875 229.087992 \nL 196.044632 227.383917 \nL 196.105511 227.908248 \nL 196.288147 229.743406 \nL 196.349026 227.252834 \nL 196.409905 228.563662 \nL 196.470784 228.694744 \nL 196.531663 224.237932 \nL 196.592542 226.204173 \nL 196.775178 229.612323 \nL 197.079572 226.597421 \nL 197.20133 229.087992 \nL 197.262208 226.990669 \nL 197.444845 229.350158 \nL 197.566603 228.170413 \nL 197.749239 229.219075 \nL 197.870997 227.383917 \nL 197.931875 228.825827 \nL 197.992754 228.694744 \nL 198.053633 224.762263 \nL 198.114512 229.219075 \nL 198.175391 228.301496 \nL 198.23627 228.825827 \nL 198.297148 226.335255 \nL 198.358027 229.219075 \nL 198.418906 227.515 \nL 198.479785 229.481241 \nL 198.540664 228.694744 \nL 198.601542 229.087992 \nL 198.662421 228.694744 \nL 198.784179 225.942007 \nL 198.845058 226.335255 \nL 198.966815 228.95691 \nL 199.088573 227.646083 \nL 199.210331 229.087992 \nL 199.332088 227.515 \nL 199.453846 229.087992 \nL 199.514725 228.301496 \nL 199.636482 229.350158 \nL 199.697361 228.432579 \nL 199.75824 229.219075 \nL 199.940876 227.515 \nL 200.062634 228.825827 \nL 200.123513 228.170413 \nL 200.184392 228.039331 \nL 200.24527 228.170413 \nL 200.306149 229.087992 \nL 200.367028 228.432579 \nL 200.427907 229.219075 \nL 200.488786 227.777165 \nL 200.549665 228.694744 \nL 200.610543 227.908248 \nL 200.732301 229.219075 \nL 200.79318 228.825827 \nL 200.914937 229.743406 \nL 200.975816 229.481241 \nL 201.036695 225.548759 \nL 201.097574 228.95691 \nL 201.158453 225.810925 \nL 201.219331 229.481241 \nL 201.28021 228.95691 \nL 201.341089 229.087992 \nL 201.401968 228.301496 \nL 201.462847 224.893346 \nL 201.523726 225.417676 \nL 201.706362 228.694744 \nL 201.767241 223.058188 \nL 201.888998 228.432579 \nL 201.949877 228.563662 \nL 202.010756 228.170413 \nL 202.193393 229.743406 \nL 202.436908 226.728504 \nL 202.497787 228.432579 \nL 202.558665 227.121752 \nL 202.619544 227.908248 \nL 202.680423 225.024428 \nL 202.741302 226.466338 \nL 202.923938 229.481241 \nL 203.167454 227.515 \nL 203.228332 228.825827 \nL 203.289211 224.762263 \nL 203.35009 229.219075 \nL 203.410969 228.170413 \nL 203.471848 226.597421 \nL 203.532726 227.383917 \nL 203.593605 228.170413 \nL 203.654484 225.942007 \nL 203.715363 227.515 \nL 203.776242 229.350158 \nL 203.837121 226.597421 \nL 203.958878 228.95691 \nL 204.019757 228.95691 \nL 204.202393 227.121752 \nL 204.324151 228.039331 \nL 204.38503 228.039331 \nL 204.445909 228.825827 \nL 204.506787 228.563662 \nL 204.628545 228.95691 \nL 204.750303 226.990669 \nL 204.87206 229.087992 \nL 205.054697 227.646083 \nL 205.115576 227.908248 \nL 205.359091 229.219075 \nL 205.41997 226.466338 \nL 205.480849 226.728504 \nL 205.602606 228.825827 \nL 205.663485 228.301496 \nL 205.724364 228.301496 \nL 205.846121 229.481241 \nL 205.967879 228.170413 \nL 206.028758 229.612323 \nL 206.089637 228.432579 \nL 206.150516 227.908248 \nL 206.211394 225.942007 \nL 206.272273 226.990669 \nL 206.394031 227.777165 \nL 206.45491 225.810925 \nL 206.576667 229.087992 \nL 206.698425 228.694744 \nL 206.759304 225.024428 \nL 206.94194 229.219075 \nL 207.063698 227.252834 \nL 207.185455 229.219075 \nL 207.246334 228.825827 \nL 207.307213 228.95691 \nL 207.368092 229.087992 \nL 207.550728 225.942007 \nL 207.672486 228.95691 \nL 207.794244 226.859586 \nL 207.855122 228.95691 \nL 207.916001 227.646083 \nL 208.037759 228.563662 \nL 208.220395 227.121752 \nL 208.342153 228.95691 \nL 208.403032 229.087992 \nL 208.524789 228.563662 \nL 208.585668 228.694744 \nL 208.646547 225.155511 \nL 208.707426 228.301496 \nL 208.768305 226.07309 \nL 208.890062 229.743406 \nL 208.950941 228.694744 \nL 209.01182 228.95691 \nL 209.072699 228.563662 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226.466338 \nL 212.421033 228.170413 \nL 212.481912 228.432579 \nL 212.542791 228.301496 \nL 212.60367 228.301496 \nL 212.664549 229.350158 \nL 212.725428 229.219075 \nL 212.786306 228.170413 \nL 212.847185 228.95691 \nL 212.908064 228.301496 \nL 212.968943 224.500098 \nL 213.029822 228.95691 \nL 213.0907 228.825827 \nL 213.151579 227.777165 \nL 213.212458 229.743406 \nL 213.273337 225.024428 \nL 213.334216 228.694744 \nL 213.395095 228.170413 \nL 213.455973 228.694744 \nL 213.516852 228.563662 \nL 213.577731 228.301496 \nL 213.63861 229.219075 \nL 213.699489 227.908248 \nL 213.760367 228.694744 \nL 214.003883 228.432579 \nL 214.064761 229.219075 \nL 214.12564 225.679842 \nL 214.186519 229.481241 \nL 214.247398 228.432579 \nL 214.308277 228.432579 \nL 214.369156 228.301496 \nL 214.430034 228.95691 \nL 214.551792 226.990669 \nL 214.67355 224.106849 \nL 214.734428 229.087992 \nL 214.795307 228.825827 \nL 214.856186 228.825827 \nL 214.917065 228.301496 \nL 214.977944 229.219075 \nL 215.221459 227.121752 \nL 215.404095 229.219075 \nL 215.464974 227.908248 \nL 215.525853 228.039331 \nL 215.647611 229.612323 \nL 215.830247 226.466338 \nL 215.891126 226.990669 \nL 215.952005 223.975767 \nL 216.073762 228.825827 \nL 216.256399 226.335255 \nL 216.317278 226.859586 \nL 216.378156 229.350158 \nL 216.439035 226.859586 \nL 216.499914 229.087992 \nL 216.560793 228.170413 \nL 216.682551 229.087992 \nL 216.743429 226.859586 \nL 216.804308 228.563662 \nL 216.865187 228.825827 \nL 216.926066 228.301496 \nL 216.986945 222.402774 \nL 217.108702 229.481241 \nL 217.23046 227.515 \nL 217.291339 229.087992 \nL 217.352217 225.417676 \nL 217.413096 228.432579 \nL 217.473975 229.087992 \nL 217.595733 227.777165 \nL 217.656612 224.500098 \nL 217.71749 226.335255 \nL 217.778369 229.350158 \nL 217.839248 227.515 \nL 217.900127 229.350158 \nL 217.961006 228.170413 \nL 218.021884 228.694744 \nL 218.082763 228.170413 \nL 218.143642 226.597421 \nL 218.204521 228.825827 \nL 218.2654 228.694744 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228.432579 \nL 221.370219 228.825827 \nL 221.491977 226.859586 \nL 221.613735 228.694744 \nL 221.674613 228.301496 \nL 221.735492 229.350158 \nL 221.796371 229.219075 \nL 221.85725 229.350158 \nL 222.100765 227.383917 \nL 222.161644 227.515 \nL 222.222523 229.087992 \nL 222.283402 228.694744 \nL 222.34428 228.039331 \nL 222.405159 229.087992 \nL 222.466038 226.990669 \nL 222.526917 228.694744 \nL 222.587796 228.170413 \nL 222.648674 228.301496 \nL 222.770432 229.612323 \nL 222.831311 227.908248 \nL 222.89219 228.170413 \nL 222.953068 228.170413 \nL 223.074826 229.874489 \nL 223.135705 229.219075 \nL 223.196584 224.500098 \nL 223.257463 228.301496 \nL 223.318341 228.301496 \nL 223.37922 227.383917 \nL 223.440099 228.563662 \nL 223.500978 228.039331 \nL 223.561857 228.170413 \nL 223.622735 229.087992 \nL 223.683614 228.825827 \nL 223.744493 228.825827 \nL 223.805372 227.777165 \nL 223.866251 228.432579 \nL 223.92713 228.170413 \nL 223.988008 224.893346 \nL 224.048887 228.432579 \nL 224.109766 227.383917 \nL 224.231524 229.219075 \nL 224.292402 226.859586 \nL 224.353281 228.170413 \nL 224.41416 227.515 \nL 224.475039 227.777165 \nL 224.535918 229.350158 \nL 224.596796 229.219075 \nL 224.657675 228.301496 \nL 224.779433 229.350158 \nL 224.840312 228.563662 \nL 224.901191 229.350158 \nL 224.962069 227.121752 \nL 225.022948 229.743406 \nL 225.083827 228.563662 \nL 225.205585 224.500098 \nL 225.266463 228.694744 \nL 225.327342 228.301496 \nL 225.4491 229.219075 \nL 225.509979 226.859586 \nL 225.570858 228.039331 \nL 225.692615 229.874489 \nL 225.875252 228.301496 \nL 225.997009 229.350158 \nL 226.057888 228.170413 \nL 226.118767 228.432579 \nL 226.179646 228.694744 \nL 226.240525 227.515 \nL 226.301403 228.825827 \nL 226.362282 228.170413 \nL 226.423161 228.825827 \nL 226.48404 228.039331 \nL 226.544919 228.563662 \nL 226.788434 227.777165 \nL 226.849313 229.743406 \nL 226.910191 229.087992 \nL 227.031949 226.728504 \nL 227.092828 228.039331 \nL 227.153707 227.121752 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228.039331 \nL 230.197647 229.219075 \nL 230.258526 228.170413 \nL 230.319405 228.825827 \nL 230.380284 228.825827 \nL 230.441163 228.432579 \nL 230.502042 229.350158 \nL 230.56292 228.825827 \nL 230.623799 228.432579 \nL 230.684678 229.219075 \nL 230.745557 229.087992 \nL 230.806436 228.432579 \nL 230.867314 226.07309 \nL 230.989072 229.612323 \nL 231.049951 229.350158 \nL 231.171709 227.515 \nL 231.293466 229.481241 \nL 231.354345 225.679842 \nL 231.476103 229.087992 \nL 231.658739 226.728504 \nL 231.719618 229.350158 \nL 231.780497 226.728504 \nL 231.841376 229.481241 \nL 231.902254 228.95691 \nL 231.963133 228.825827 \nL 232.024012 229.219075 \nL 232.084891 225.417676 \nL 232.14577 229.087992 \nL 232.206648 228.301496 \nL 232.328406 228.825827 \nL 232.450164 227.646083 \nL 232.511042 229.219075 \nL 232.571921 225.548759 \nL 232.6328 228.825827 \nL 232.693679 228.563662 \nL 232.754558 226.728504 \nL 232.937194 229.350158 \nL 233.058952 228.170413 \nL 233.119831 224.106849 \nL 233.180709 229.481241 \nL 233.241588 229.350158 \nL 233.424225 228.039331 \nL 233.485104 228.563662 \nL 233.606861 227.252834 \nL 233.789498 229.087992 \nL 234.033013 227.515 \nL 234.093892 229.087992 \nL 234.15477 228.825827 \nL 234.215649 229.219075 \nL 234.276528 228.95691 \nL 234.337407 227.646083 \nL 234.398286 228.432579 \nL 234.520043 228.694744 \nL 234.580922 225.286594 \nL 234.641801 227.777165 \nL 234.763559 229.350158 \nL 234.824437 227.515 \nL 234.885316 228.170413 \nL 234.946195 228.039331 \nL 235.007074 229.481241 \nL 235.128832 226.728504 \nL 235.311468 228.825827 \nL 235.433226 229.350158 \nL 235.494104 228.039331 \nL 235.554983 228.825827 \nL 235.615862 228.825827 \nL 235.676741 227.515 \nL 235.798498 228.694744 \nL 235.859377 228.563662 \nL 235.981135 229.350158 \nL 236.042014 228.432579 \nL 236.102893 228.563662 \nL 236.22465 228.563662 \nL 236.285529 228.95691 \nL 236.346408 228.432579 \nL 236.407287 229.350158 \nL 236.529044 226.07309 \nL 236.589923 229.350158 \nL 236.650802 227.383917 \nL 236.77256 229.087992 \nL 236.833438 228.563662 \nL 236.894317 229.350158 \nL 237.076954 226.204173 \nL 237.137832 229.087992 \nL 237.198711 228.694744 \nL 237.25959 228.825827 \nL 237.320469 228.039331 \nL 237.381348 229.350158 \nL 237.442226 228.432579 \nL 237.503105 228.170413 \nL 237.563984 227.383917 \nL 237.624863 228.563662 \nL 237.685742 227.777165 \nL 237.746621 227.383917 \nL 237.929257 229.087992 \nL 237.990136 229.219075 \nL 238.111893 227.121752 \nL 238.233651 229.350158 \nL 238.29453 228.694744 \nL 238.355409 229.612323 \nL 238.416288 227.908248 \nL 238.477166 229.612323 \nL 238.538045 226.728504 \nL 238.598924 229.219075 \nL 238.659803 228.825827 \nL 238.720682 226.204173 \nL 238.78156 228.694744 \nL 238.842439 228.432579 \nL 238.903318 228.301496 \nL 238.964197 229.874489 \nL 239.146833 227.777165 \nL 239.268591 229.350158 \nL 239.451227 227.908248 \nL 239.512106 229.219075 \nL 239.633864 227.646083 \nL 239.755621 229.743406 \nL 239.877379 228.825827 \nL 239.938258 229.087992 \nL 240.120894 228.432579 \nL 240.181773 229.481241 \nL 240.242652 229.219075 \nL 240.303531 227.383917 \nL 240.36441 228.432579 \nL 240.486167 227.777165 \nL 240.547046 229.350158 \nL 240.607925 228.95691 \nL 240.668804 229.219075 \nL 240.729683 228.825827 \nL 240.790561 226.990669 \nL 240.85144 228.039331 \nL 240.912319 229.087992 \nL 240.973198 228.563662 \nL 241.094955 227.646083 \nL 241.155834 228.432579 \nL 241.216713 225.942007 \nL 241.338471 229.350158 \nL 241.581986 226.07309 \nL 241.642865 229.612323 \nL 241.703744 229.087992 \nL 241.764622 228.694744 \nL 241.825501 229.219075 \nL 241.947259 228.432579 \nL 242.008138 229.350158 \nL 242.069016 229.087992 \nL 242.129895 228.694744 \nL 242.190774 229.350158 \nL 242.251653 229.087992 \nL 242.312532 228.825827 \nL 242.373411 229.350158 \nL 242.434289 229.219075 \nL 242.556047 228.170413 \nL 242.616926 229.219075 \nL 242.677805 228.694744 \nL 242.738683 228.563662 \nL 242.799562 226.204173 \nL 242.860441 227.908248 \nL 242.92132 228.170413 \nL 242.982199 224.762263 \nL 243.043077 229.219075 \nL 243.103956 229.087992 \nL 243.225714 228.432579 \nL 243.286593 226.204173 \nL 243.347472 226.728504 \nL 243.469229 229.350158 \nL 243.530108 228.039331 \nL 243.590987 228.432579 \nL 243.651866 228.95691 \nL 243.834502 226.859586 \nL 243.895381 229.087992 \nL 243.95626 224.369015 \nL 244.017139 228.95691 \nL 244.078017 228.039331 \nL 244.138896 229.087992 \nL 244.199775 227.121752 \nL 244.382411 229.612323 \nL 244.686805 225.155511 \nL 244.869442 228.95691 \nL 244.9912 227.908248 \nL 245.112957 229.350158 \nL 245.173836 228.694744 \nL 245.234715 229.481241 \nL 245.295594 229.087992 \nL 245.356472 229.219075 \nL 245.417351 228.301496 \nL 245.47823 228.432579 \nL 245.539109 228.301496 \nL 245.660867 228.95691 \nL 245.721745 228.432579 \nL 245.782624 229.481241 \nL 245.843503 227.777165 \nL 245.904382 228.301496 \nL 245.965261 228.301496 \nL 246.026139 227.777165 \nL 246.147897 229.350158 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228.825827 \nL 249.313595 227.515 \nL 249.374474 228.563662 \nL 249.435353 225.548759 \nL 249.496232 228.301496 \nL 249.557111 228.039331 \nL 249.61799 228.039331 \nL 249.678868 228.95691 \nL 249.739747 228.694744 \nL 249.800626 228.825827 \nL 249.861505 227.646083 \nL 249.922384 229.350158 \nL 249.983262 228.563662 \nL 250.044141 227.908248 \nL 250.10502 228.825827 \nL 250.165899 228.301496 \nL 250.287656 223.975767 \nL 250.409414 228.694744 \nL 250.470293 228.563662 \nL 250.531172 228.825827 \nL 250.652929 227.908248 \nL 250.713808 228.301496 \nL 250.774687 225.942007 \nL 250.835566 228.170413 \nL 250.896445 228.039331 \nL 250.957323 227.646083 \nL 251.13996 229.087992 \nL 251.200839 227.515 \nL 251.261718 227.777165 \nL 251.505233 229.219075 \nL 251.62699 229.612323 \nL 251.687869 229.612323 \nL 251.809627 227.121752 \nL 251.870506 228.825827 \nL 251.931385 229.087992 \nL 252.114021 227.252834 \nL 252.235779 229.481241 \nL 252.296657 227.383917 \nL 252.357536 228.694744 \nL 252.418415 229.481241 \nL 252.479294 228.301496 \nL 252.540173 228.825827 \nL 252.601051 229.087992 \nL 252.722809 226.859586 \nL 252.783688 229.087992 \nL 252.844567 228.95691 \nL 252.905446 229.350158 \nL 252.966324 227.646083 \nL 253.027203 228.432579 \nL 253.088082 228.563662 \nL 253.148961 228.301496 \nL 253.20984 229.219075 \nL 253.270718 226.990669 \nL 253.331597 228.563662 \nL 253.392476 227.646083 \nL 253.453355 227.908248 \nL 253.514234 229.350158 \nL 253.575113 229.087992 \nL 253.635991 228.825827 \nL 253.69687 229.087992 \nL 253.818628 228.170413 \nL 253.879507 229.350158 \nL 253.940385 228.825827 \nL 254.001264 229.481241 \nL 254.062143 229.350158 \nL 254.123022 229.219075 \nL 254.244779 228.563662 \nL 254.305658 229.087992 \nL 254.366537 228.95691 \nL 254.427416 228.039331 \nL 254.488295 228.694744 \nL 254.549174 228.432579 \nL 254.610052 229.087992 \nL 254.73181 228.170413 \nL 254.792689 228.563662 \nL 254.853568 227.515 \nL 254.975325 228.95691 \nL 255.097083 225.024428 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228.694744 \nL 258.32366 227.908248 \nL 258.506297 228.825827 \nL 258.567175 229.087992 \nL 258.628054 228.039331 \nL 258.688933 228.95691 \nL 258.749812 228.432579 \nL 258.810691 227.908248 \nL 258.993327 229.219075 \nL 259.054206 229.087992 \nL 259.175964 226.990669 \nL 259.236842 229.087992 \nL 259.297721 227.646083 \nL 259.3586 228.95691 \nL 259.419479 228.039331 \nL 259.541236 229.219075 \nL 259.602115 228.563662 \nL 259.662994 228.825827 \nL 259.784752 229.350158 \nL 259.967388 226.990669 \nL 260.089146 228.301496 \nL 260.150025 226.204173 \nL 260.210903 229.219075 \nL 260.271782 228.039331 \nL 260.454419 229.087992 \nL 260.515297 229.087992 \nL 260.697934 227.515 \nL 260.819692 228.825827 \nL 260.88057 228.039331 \nL 260.941449 229.087992 \nL 261.002328 228.825827 \nL 261.063207 228.694744 \nL 261.124086 229.087992 \nL 261.184964 227.908248 \nL 261.245843 228.039331 \nL 261.306722 228.039331 \nL 261.367601 229.087992 \nL 261.42848 228.432579 \nL 261.489358 228.301496 \nL 261.550237 226.597421 \nL 261.611116 229.219075 \nL 261.671995 228.694744 \nL 261.793753 226.859586 \nL 261.854631 229.087992 \nL 261.91551 228.694744 \nL 261.976389 228.95691 \nL 262.037268 227.777165 \nL 262.159025 229.219075 \nL 262.280783 227.383917 \nL 262.402541 228.95691 \nL 262.46342 227.777165 \nL 262.646056 229.350158 \nL 262.767814 228.039331 \nL 262.889571 229.219075 \nL 262.95045 228.825827 \nL 263.011329 227.646083 \nL 263.072208 228.170413 \nL 263.133086 229.350158 \nL 263.254844 227.121752 \nL 263.315723 229.219075 \nL 263.376602 228.170413 \nL 263.498359 224.237932 \nL 263.559238 229.087992 \nL 263.620117 228.039331 \nL 263.680996 228.563662 \nL 263.741875 227.777165 \nL 263.924511 229.481241 \nL 264.046269 228.563662 \nL 264.107148 229.350158 \nL 264.168026 228.825827 \nL 264.228905 226.859586 \nL 264.289784 227.252834 \nL 264.411542 228.95691 \nL 264.47242 228.694744 \nL 264.594178 229.350158 \nL 264.655057 228.170413 \nL 264.715936 228.563662 \nL 264.837693 228.170413 \nL 264.959451 229.350158 \nL 265.02033 228.95691 \nL 265.142087 228.039331 \nL 265.202966 228.694744 \nL 265.263845 228.563662 \nL 265.324724 227.908248 \nL 265.446481 228.825827 \nL 265.568239 228.039331 \nL 265.629118 228.432579 \nL 265.750876 229.087992 \nL 265.933512 228.563662 \nL 265.994391 228.825827 \nL 266.05527 229.087992 \nL 266.237906 227.252834 \nL 266.298785 228.432579 \nL 266.359664 226.466338 \nL 266.5423 228.825827 \nL 266.603179 229.087992 \nL 266.664058 227.383917 \nL 266.724937 227.777165 \nL 266.785815 227.515 \nL 266.846694 229.350158 \nL 266.907573 227.121752 \nL 266.968452 228.694744 \nL 267.029331 226.990669 \nL 267.090209 227.777165 \nL 267.151088 229.612323 \nL 267.211967 228.432579 \nL 267.333725 228.432579 \nL 267.455482 229.612323 \nL 267.57724 228.825827 \nL 267.638119 228.95691 \nL 267.759876 229.612323 \nL 268.003392 228.039331 \nL 268.125149 229.481241 \nL 268.186028 227.515 \nL 268.246907 229.350158 \nL 268.307786 228.825827 \nL 268.368665 227.908248 \nL 268.429543 229.087992 \nL 268.490422 228.432579 \nL 268.551301 228.432579 \nL 268.61218 228.170413 \nL 268.673059 228.825827 \nL 268.733937 228.039331 \nL 268.794816 224.500098 \nL 268.916574 229.350158 \nL 268.977453 227.908248 \nL 269.038332 228.432579 \nL 269.09921 228.825827 \nL 269.160089 227.383917 \nL 269.220968 228.170413 \nL 269.342726 229.087992 \nL 269.403604 226.07309 \nL 269.464483 229.087992 \nL 269.525362 227.777165 \nL 269.64712 228.301496 \nL 269.707999 227.383917 \nL 269.768877 229.087992 \nL 269.829756 228.039331 \nL 269.890635 228.694744 \nL 269.951514 228.039331 \nL 270.012393 228.825827 \nL 270.073271 228.432579 \nL 270.13415 228.301496 \nL 270.195029 229.350158 \nL 270.316787 228.301496 \nL 270.438544 229.612323 \nL 270.499423 229.481241 \nL 270.560302 227.383917 \nL 270.621181 228.694744 \nL 270.742938 228.039331 \nL 270.803817 226.990669 \nL 270.986454 229.087992 \nL 271.108211 228.039331 \nL 271.229969 228.170413 \nL 271.351727 227.777165 \nL 271.412605 228.432579 \nL 271.473484 228.170413 \nL 271.656121 228.95691 \nL 271.777878 228.170413 \nL 271.838757 229.087992 \nL 271.899636 228.170413 \nL 272.021394 229.350158 \nL 272.082272 227.908248 \nL 272.143151 228.825827 \nL 272.20403 228.432579 \nL 272.325788 228.95691 \nL 272.386666 228.301496 \nL 272.447545 229.743406 \nL 272.508424 228.170413 \nL 272.569303 228.432579 \nL 272.751939 228.95691 \nL 272.812818 227.646083 \nL 272.873697 228.170413 \nL 272.995455 229.350158 \nL 273.056333 229.219075 \nL 273.178091 228.432579 \nL 273.299849 228.039331 \nL 273.360727 228.301496 \nL 273.421606 226.07309 \nL 273.543364 229.219075 \nL 273.604243 226.859586 \nL 273.665122 229.481241 \nL 273.726 228.825827 \nL 273.969516 229.219075 \nL 274.030394 228.039331 \nL 274.091273 228.825827 \nL 274.213031 229.350158 \nL 274.27391 227.252834 \nL 274.334788 229.612323 \nL 274.395667 229.219075 \nL 274.578304 227.515 \nL 274.76094 229.219075 \nL 274.821819 229.350158 \nL 275.004455 227.121752 \nL 275.065334 228.563662 \nL 275.126213 228.432579 \nL 275.187092 228.301496 \nL 275.247971 229.350158 \nL 275.30885 228.039331 \nL 275.369728 228.825827 \nL 275.430607 228.039331 \nL 275.491486 228.563662 \nL 275.552365 228.170413 \nL 275.735001 229.612323 \nL 275.856759 228.301496 \nL 275.978516 229.087992 \nL 276.100274 228.694744 \nL 276.161153 228.95691 \nL 276.222032 226.597421 \nL 276.343789 228.694744 \nL 276.404668 227.777165 \nL 276.526426 228.95691 \nL 276.587305 227.908248 \nL 276.648183 228.694744 \nL 276.709062 228.563662 \nL 276.769941 227.383917 \nL 276.83082 227.908248 \nL 276.952578 228.95691 \nL 277.013456 227.777165 \nL 277.074335 229.219075 \nL 277.135214 228.95691 \nL 277.256972 229.612323 \nL 277.31785 228.039331 \nL 277.378729 228.694744 \nL 277.439608 228.694744 \nL 277.500487 228.039331 \nL 277.622244 229.743406 \nL 277.683123 227.777165 \nL 277.744002 228.825827 \nL 277.926639 228.432579 \nL 277.987517 229.087992 \nL 278.048396 228.301496 \nL 278.109275 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280.909701 228.95691 \nL 280.970579 228.432579 \nL 281.031458 228.825827 \nL 281.092337 228.432579 \nL 281.153216 228.95691 \nL 281.214095 228.039331 \nL 281.274973 228.170413 \nL 281.396731 227.252834 \nL 281.45761 227.646083 \nL 281.579367 228.563662 \nL 281.640246 227.383917 \nL 281.701125 228.170413 \nL 281.762004 228.825827 \nL 281.822883 228.694744 \nL 281.883762 227.908248 \nL 282.005519 229.481241 \nL 282.066398 227.646083 \nL 282.127277 229.350158 \nL 282.188156 227.908248 \nL 282.249034 228.825827 \nL 282.370792 227.908248 \nL 282.431671 229.219075 \nL 282.49255 229.087992 \nL 282.553429 229.087992 \nL 282.614307 228.95691 \nL 282.796944 228.301496 \nL 282.857823 228.694744 \nL 282.918701 228.563662 \nL 283.162217 228.825827 \nL 283.223095 228.039331 \nL 283.283974 228.170413 \nL 283.344853 228.694744 \nL 283.466611 227.515 \nL 283.588368 229.481241 \nL 283.771005 227.646083 \nL 283.831884 229.087992 \nL 283.892762 227.383917 \nL 284.01452 229.743406 \nL 284.075399 228.301496 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228.039331 \nL 294.972707 229.219075 \nL 295.094464 227.908248 \nL 295.216222 228.825827 \nL 295.277101 228.432579 \nL 295.33798 229.350158 \nL 295.398859 228.694744 \nL 295.459737 228.039331 \nL 295.520616 228.563662 \nL 295.581495 228.170413 \nL 295.642374 228.95691 \nL 295.703253 227.777165 \nL 295.764131 229.612323 \nL 295.82501 228.301496 \nL 295.885889 228.825827 \nL 295.946768 228.170413 \nL 296.007647 228.95691 \nL 296.068525 228.432579 \nL 296.190283 228.95691 \nL 296.251162 228.301496 \nL 296.312041 229.350158 \nL 296.37292 228.432579 \nL 296.433798 228.825827 \nL 296.494677 228.825827 \nL 296.555556 228.039331 \nL 296.616435 228.301496 \nL 296.677314 228.563662 \nL 296.738192 229.481241 \nL 296.799071 228.170413 \nL 296.85995 228.301496 \nL 297.042587 229.087992 \nL 297.103465 228.95691 \nL 297.225223 227.383917 \nL 297.286102 229.087992 \nL 297.346981 228.694744 \nL 297.468738 229.350158 \nL 297.590496 228.170413 \nL 297.712253 229.087992 \nL 297.89489 227.646083 \nL 298.016648 229.087992 \nL 298.077526 228.432579 \nL 298.138405 228.825827 \nL 298.199284 229.087992 \nL 298.260163 228.432579 \nL 298.321042 225.286594 \nL 298.442799 229.350158 \nL 298.503678 226.07309 \nL 298.625436 229.350158 \nL 298.686315 227.777165 \nL 298.747193 228.432579 \nL 298.808072 229.350158 \nL 298.868951 229.219075 \nL 299.051587 227.646083 \nL 299.112466 228.301496 \nL 299.173345 227.252834 \nL 299.234224 227.777165 \nL 299.295103 228.825827 \nL 299.355982 228.301496 \nL 299.41686 228.563662 \nL 299.477739 227.908248 \nL 299.538618 228.432579 \nL 299.721254 229.481241 \nL 299.782133 228.563662 \nL 299.843012 229.481241 \nL 299.903891 228.825827 \nL 299.96477 228.694744 \nL 300.086527 227.252834 \nL 300.147406 229.219075 \nL 300.208285 228.039331 \nL 300.330043 228.95691 \nL 300.390921 229.874489 \nL 300.573558 226.597421 \nL 300.695315 229.087992 \nL 300.817073 228.432579 \nL 300.877952 229.481241 \nL 301.060588 227.646083 \nL 301.121467 228.825827 \nL 301.182346 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304.59156 228.301496 \nL 304.713317 227.908248 \nL 304.774196 229.087992 \nL 304.835075 228.563662 \nL 304.895954 227.908248 \nL 304.956833 228.170413 \nL 305.07859 229.350158 \nL 305.200348 229.219075 \nL 305.382984 227.646083 \nL 305.504742 229.087992 \nL 305.626499 228.301496 \nL 305.748257 228.95691 \nL 305.809136 227.908248 \nL 305.870015 228.563662 \nL 305.930894 228.825827 \nL 305.991772 228.563662 \nL 306.052651 228.95691 \nL 306.11353 228.039331 \nL 306.174409 229.219075 \nL 306.235288 229.087992 \nL 306.296166 229.087992 \nL 306.417924 228.170413 \nL 306.478803 229.219075 \nL 306.539682 228.432579 \nL 306.722318 228.95691 \nL 306.904955 227.777165 \nL 306.965833 228.432579 \nL 307.026712 226.990669 \nL 307.087591 228.563662 \nL 307.14847 225.810925 \nL 307.331106 229.481241 \nL 307.391985 228.301496 \nL 307.452864 228.95691 \nL 307.513743 229.219075 \nL 307.696379 228.563662 \nL 307.757258 229.219075 \nL 307.818137 227.121752 \nL 307.879016 228.432579 \nL 307.939894 228.301496 \nL 308.061652 228.95691 \nL 308.122531 227.777165 \nL 308.244289 229.350158 \nL 308.366046 228.563662 \nL 308.487804 229.612323 \nL 308.548683 227.252834 \nL 308.609561 228.694744 \nL 308.731319 228.039331 \nL 308.792198 229.481241 \nL 308.853077 228.694744 \nL 308.913955 227.252834 \nL 309.035713 228.825827 \nL 309.157471 228.301496 \nL 309.21835 227.515 \nL 309.279228 228.95691 \nL 309.340107 227.383917 \nL 309.400986 229.087992 \nL 309.461865 227.646083 \nL 309.522744 228.825827 \nL 309.583622 229.481241 \nL 309.70538 228.301496 \nL 309.766259 228.563662 \nL 309.827138 228.694744 \nL 309.888017 228.432579 \nL 309.948895 229.219075 \nL 310.131532 227.383917 \nL 310.192411 229.350158 \nL 310.253289 228.301496 \nL 310.314168 228.432579 \nL 310.435926 227.908248 \nL 310.496805 229.350158 \nL 310.557683 228.825827 \nL 310.618562 229.219075 \nL 310.74032 227.908248 \nL 310.801199 229.743406 \nL 310.862078 229.087992 \nL 310.922956 229.350158 \nL 311.044714 228.694744 \nL 311.105593 229.219075 \nL 311.22735 227.646083 \nL 311.288229 229.350158 \nL 311.349108 226.597421 \nL 311.409987 228.694744 \nL 311.470866 229.219075 \nL 311.531745 228.170413 \nL 311.592623 228.825827 \nL 311.653502 228.432579 \nL 311.77526 229.350158 \nL 311.836139 227.908248 \nL 311.897017 228.170413 \nL 311.957896 228.170413 \nL 312.079654 229.219075 \nL 312.201412 228.563662 \nL 312.26229 228.694744 \nL 312.323169 229.219075 \nL 312.384048 227.777165 \nL 312.444927 228.95691 \nL 312.505806 228.170413 \nL 312.627563 229.087992 \nL 312.688442 229.087992 \nL 312.8102 228.563662 \nL 312.931957 228.95691 \nL 312.992836 228.694744 \nL 313.053715 229.087992 \nL 313.236351 226.859586 \nL 313.358109 228.825827 \nL 313.418988 228.170413 \nL 313.479867 229.219075 \nL 313.540745 228.694744 \nL 313.601624 229.219075 \nL 313.662503 228.170413 \nL 313.723382 228.694744 \nL 313.784261 229.087992 \nL 313.966897 227.646083 \nL 314.027776 227.908248 \nL 314.088655 228.825827 \nL 314.149534 228.563662 \nL 314.271291 229.087992 \nL 314.33217 228.432579 \nL 314.393049 229.087992 \nL 314.453928 227.646083 \nL 314.514806 228.432579 \nL 314.575685 229.481241 \nL 314.697443 227.515 \nL 314.880079 229.743406 \nL 314.940958 228.694744 \nL 315.001837 228.95691 \nL 315.062716 228.825827 \nL 315.123595 229.219075 \nL 315.184473 229.087992 \nL 315.245352 228.694744 \nL 315.306231 229.481241 \nL 315.36711 228.432579 \nL 315.427989 229.219075 \nL 315.610625 228.039331 \nL 315.671504 229.087992 \nL 315.732383 228.432579 \nL 315.85414 229.087992 \nL 315.915019 228.301496 \nL 315.975898 229.087992 \nL 316.036777 227.383917 \nL 316.158534 229.481241 \nL 316.219413 228.432579 \nL 316.280292 228.694744 \nL 316.462929 228.301496 \nL 316.584686 228.825827 \nL 316.645565 227.646083 \nL 316.706444 228.825827 \nL 316.767323 225.548759 \nL 316.88908 229.087992 \nL 316.949959 228.301496 \nL 317.010838 228.563662 \nL 317.071717 228.563662 \nL 317.193474 229.350158 \nL 317.315232 228.432579 \nL 317.376111 226.859586 \nL 317.497868 228.825827 \nL 317.558747 228.039331 \nL 317.619626 228.95691 \nL 317.680505 227.646083 \nL 317.741384 229.612323 \nL 317.802262 228.301496 \nL 317.92402 229.087992 \nL 317.984899 226.728504 \nL 318.045778 228.301496 \nL 318.167535 228.694744 \nL 318.289293 228.301496 \nL 318.350172 228.432579 \nL 318.411051 227.777165 \nL 318.593687 229.743406 \nL 318.654566 228.563662 \nL 318.715445 228.825827 \nL 318.776324 229.219075 \nL 318.95896 227.908248 \nL 319.141596 229.087992 \nL 319.202475 228.95691 \nL 319.263354 227.515 \nL 319.324233 229.219075 \nL 319.385112 228.563662 \nL 319.506869 229.087992 \nL 319.689506 227.646083 \nL 319.750385 229.481241 \nL 319.811263 228.694744 \nL 319.872142 228.95691 \nL 319.933021 228.563662 \nL 319.9939 226.204173 \nL 320.054779 228.039331 \nL 320.115657 229.481241 \nL 320.176536 229.219075 \nL 320.237415 228.825827 \nL 320.298294 229.612323 \nL 320.359173 226.990669 \nL 320.420052 229.087992 \nL 320.541809 228.301496 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228.039331 \nL 323.463992 228.95691 \nL 323.524871 227.908248 \nL 323.58575 228.039331 \nL 323.646629 229.219075 \nL 323.707508 228.95691 \nL 323.768386 229.350158 \nL 324.011902 227.777165 \nL 324.133659 229.087992 \nL 324.194538 228.301496 \nL 324.255417 229.612323 \nL 324.316296 229.087992 \nL 324.377175 229.219075 \nL 324.498932 227.121752 \nL 324.62069 229.481241 \nL 324.681569 229.350158 \nL 324.864205 228.039331 \nL 324.985963 228.694744 \nL 325.046842 228.563662 \nL 325.10772 228.694744 \nL 325.168599 228.694744 \nL 325.229478 228.170413 \nL 325.351236 229.219075 \nL 325.472993 227.908248 \nL 325.594751 229.350158 \nL 325.65563 228.039331 \nL 325.716508 228.563662 \nL 325.777387 228.694744 \nL 325.838266 229.874489 \nL 325.960024 226.597421 \nL 326.081781 229.350158 \nL 326.14266 229.350158 \nL 326.264418 228.95691 \nL 326.325297 228.563662 \nL 326.386175 229.481241 \nL 326.447054 228.95691 \nL 326.568812 226.859586 \nL 326.629691 227.383917 \nL 326.69057 229.219075 \nL 326.751448 228.95691 \nL 326.873206 229.219075 \nL 326.934085 228.95691 \nL 326.994964 226.728504 \nL 327.1776 229.743406 \nL 327.299358 228.170413 \nL 327.360236 229.087992 \nL 327.481994 227.908248 \nL 327.542873 229.350158 \nL 327.603752 228.694744 \nL 327.664631 228.694744 \nL 327.725509 228.95691 \nL 327.847267 228.170413 \nL 327.908146 228.825827 \nL 327.969025 228.301496 \nL 328.029903 228.039331 \nL 328.090782 229.087992 \nL 328.151661 228.432579 \nL 328.21254 228.95691 \nL 328.395176 228.039331 \nL 328.456055 228.432579 \nL 328.516934 227.383917 \nL 328.577813 228.170413 \nL 328.638692 229.087992 \nL 328.69957 227.252834 \nL 328.760449 228.170413 \nL 328.821328 228.301496 \nL 328.882207 226.859586 \nL 329.003964 229.219075 \nL 329.125722 227.515 \nL 329.24748 229.350158 \nL 329.308359 227.908248 \nL 329.369237 228.825827 \nL 329.430116 228.563662 \nL 329.612753 229.350158 \nL 329.673631 228.432579 \nL 329.73451 229.219075 \nL 329.917147 228.301496 \nL 329.978026 228.301496 \nL 330.038904 227.121752 \nL 330.099783 228.694744 \nL 330.160662 227.121752 \nL 330.221541 227.515 \nL 330.404177 229.219075 \nL 330.465056 229.087992 \nL 330.525935 227.646083 \nL 330.586814 228.694744 \nL 330.647692 228.170413 \nL 330.76945 229.219075 \nL 330.830329 228.432579 \nL 330.891208 229.350158 \nL 331.012965 226.335255 \nL 331.073844 229.612323 \nL 331.134723 228.563662 \nL 331.317359 229.612323 \nL 331.439117 227.777165 \nL 331.499996 229.087992 \nL 331.560875 227.777165 \nL 331.621754 228.563662 \nL 331.682632 228.301496 \nL 331.743511 229.219075 \nL 331.80439 228.432579 \nL 331.865269 228.694744 \nL 331.926148 228.432579 \nL 332.108784 229.219075 \nL 332.291421 228.563662 \nL 332.352299 228.563662 \nL 332.474057 229.350158 \nL 332.534936 224.500098 \nL 332.595815 229.612323 \nL 332.656693 228.95691 \nL 332.717572 229.087992 \nL 332.778451 227.777165 \nL 332.83933 228.039331 \nL 332.961087 229.481241 \nL 333.082845 226.728504 \nL 333.204603 226.859586 \nL 333.387239 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228.432579 \nL 346.476184 229.219075 \nL 346.537063 228.170413 \nL 346.597942 228.95691 \nL 346.658821 228.563662 \nL 346.7197 227.383917 \nL 346.780579 228.301496 \nL 346.841457 227.908248 \nL 347.024094 229.350158 \nL 347.267609 228.563662 \nL 347.328488 228.95691 \nL 347.389367 227.777165 \nL 347.450245 229.350158 \nL 347.511124 228.694744 \nL 347.572003 228.694744 \nL 347.632882 226.990669 \nL 347.693761 228.95691 \nL 347.75464 228.694744 \nL 347.998155 229.612323 \nL 348.059034 228.95691 \nL 348.119912 226.859586 \nL 348.180791 228.432579 \nL 348.363428 229.612323 \nL 348.424307 229.087992 \nL 348.546064 228.95691 \nL 348.606943 229.219075 \nL 348.850458 227.777165 \nL 348.972216 229.743406 \nL 349.033095 229.087992 \nL 349.154852 228.432579 \nL 349.27661 228.95691 \nL 349.337489 227.777165 \nL 349.398368 228.170413 \nL 349.459246 229.219075 \nL 349.520125 229.087992 \nL 349.702762 228.563662 \nL 349.76364 228.563662 \nL 349.824519 228.825827 \nL 349.885398 227.515 \nL 349.946277 227.777165 \nL 350.128913 228.95691 \nL 350.189792 229.350158 \nL 350.433307 227.777165 \nL 350.555065 228.694744 \nL 350.615944 228.301496 \nL 350.676823 228.95691 \nL 350.737701 228.432579 \nL 350.79858 227.908248 \nL 350.981217 228.95691 \nL 351.042096 229.087992 \nL 351.102974 228.301496 \nL 351.163853 229.219075 \nL 351.224732 229.087992 \nL 351.34649 228.170413 \nL 351.407368 228.563662 \nL 351.468247 227.777165 \nL 351.590005 229.481241 \nL 351.772641 228.039331 \nL 351.83352 228.694744 \nL 351.894399 228.432579 \nL 351.955278 227.908248 \nL 352.137914 228.825827 \nL 352.259672 228.825827 \nL 352.320551 226.859586 \nL 352.38143 227.908248 \nL 352.442308 229.350158 \nL 352.503187 228.039331 \nL 352.564066 229.612323 \nL 352.624945 228.432579 \nL 352.685824 228.170413 \nL 352.746702 228.95691 \nL 352.807581 228.301496 \nL 352.86846 229.219075 \nL 352.929339 227.908248 \nL 352.990218 228.694744 \nL 353.051096 229.087992 \nL 353.172854 228.301496 \nL 353.233733 228.432579 \nL 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360.417433 229.612323 \nL 360.478312 228.825827 \nL 360.60007 228.563662 \nL 360.660948 228.825827 \nL 360.721827 228.432579 \nL 360.782706 229.481241 \nL 360.843585 229.087992 \nL 360.965342 228.694744 \nL 361.026221 228.694744 \nL 361.0871 227.515 \nL 361.147979 228.694744 \nL 361.208858 227.515 \nL 361.269737 227.646083 \nL 361.452373 229.350158 \nL 361.513252 228.432579 \nL 361.635009 229.481241 \nL 361.817646 228.170413 \nL 361.878525 228.432579 \nL 361.939403 229.087992 \nL 362.000282 228.825827 \nL 362.061161 228.563662 \nL 362.243798 229.087992 \nL 362.365555 227.252834 \nL 362.426434 228.95691 \nL 362.487313 228.694744 \nL 362.60907 228.170413 \nL 362.669949 228.432579 \nL 362.730828 228.039331 \nL 362.852586 229.481241 \nL 362.913465 228.039331 \nL 362.974343 229.743406 \nL 363.15698 226.466338 \nL 363.278737 228.563662 \nL 363.339616 228.563662 \nL 363.461374 229.612323 \nL 363.704889 227.646083 \nL 363.826647 229.219075 \nL 363.887526 229.087992 \nL 363.948404 229.350158 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381.177109 229.350158 \nL 381.237988 228.563662 \nL 381.298867 229.087992 \nL 381.359746 229.219075 \nL 381.420624 229.087992 \nL 381.603261 228.301496 \nL 381.725018 229.219075 \nL 381.846776 228.301496 \nL 381.907655 228.95691 \nL 381.968534 228.563662 \nL 382.029412 228.170413 \nL 382.090291 229.087992 \nL 382.15117 228.170413 \nL 382.212049 228.694744 \nL 382.272928 228.432579 \nL 382.333807 228.694744 \nL 382.394685 228.563662 \nL 382.516443 227.777165 \nL 382.699079 229.087992 \nL 382.820837 228.301496 \nL 382.942595 229.481241 \nL 383.003474 228.039331 \nL 383.064352 228.170413 \nL 383.125231 228.825827 \nL 383.18611 228.301496 \nL 383.246989 228.170413 \nL 383.368746 229.350158 \nL 383.490504 228.170413 \nL 383.612262 229.350158 \nL 383.794898 228.694744 \nL 383.916656 229.219075 \nL 383.977535 228.95691 \nL 384.038413 229.481241 \nL 384.160171 228.039331 \nL 384.22105 228.95691 \nL 384.281929 228.039331 \nL 384.403686 229.481241 \nL 384.464565 228.694744 \nL 384.586323 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387.873779 228.563662 \nL 387.995536 228.039331 \nL 388.056415 229.219075 \nL 388.117294 228.563662 \nL 388.178173 228.432579 \nL 388.421688 229.219075 \nL 388.482567 229.087992 \nL 388.665203 227.777165 \nL 388.84784 229.350158 \nL 388.969597 228.694744 \nL 389.030476 227.252834 \nL 389.091355 228.039331 \nL 389.152234 227.908248 \nL 389.33487 229.481241 \nL 389.395749 227.383917 \nL 389.456628 228.95691 \nL 389.517507 228.95691 \nL 389.578386 229.087992 \nL 389.639264 227.646083 \nL 389.700143 228.825827 \nL 389.761022 228.432579 \nL 389.88278 229.350158 \nL 389.943658 228.039331 \nL 390.004537 228.825827 \nL 390.187174 228.170413 \nL 390.308931 228.95691 \nL 390.36981 229.087992 \nL 390.430689 228.95691 \nL 390.491568 228.694744 \nL 390.552447 229.481241 \nL 390.613325 227.515 \nL 390.674204 228.170413 \nL 390.856841 228.95691 \nL 390.917719 227.908248 \nL 390.978598 228.563662 \nL 391.039477 229.219075 \nL 391.100356 229.087992 \nL 391.222114 227.908248 \nL 391.282992 229.743406 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407.294121 229.350158 \nL 407.415878 228.432579 \nL 407.598515 229.350158 \nL 407.659394 228.563662 \nL 407.720272 229.612323 \nL 407.781151 228.301496 \nL 407.84203 228.563662 \nL 407.902909 229.087992 \nL 407.963788 227.908248 \nL 408.024667 228.694744 \nL 408.085545 228.432579 \nL 408.146424 228.563662 \nL 408.207303 228.825827 \nL 408.268182 228.694744 \nL 408.329061 228.563662 \nL 408.389939 229.612323 \nL 408.450818 229.350158 \nL 408.511697 228.563662 \nL 408.572576 229.350158 \nL 408.633455 228.825827 \nL 408.694334 228.95691 \nL 408.755212 228.432579 \nL 408.816091 229.087992 \nL 408.87697 227.777165 \nL 408.937849 228.825827 \nL 409.059606 228.95691 \nL 409.120485 227.777165 \nL 409.181364 229.350158 \nL 409.242243 229.087992 \nL 409.364 228.301496 \nL 409.424879 229.481241 \nL 409.485758 229.350158 \nL 409.546637 228.563662 \nL 409.607516 229.219075 \nL 409.668395 228.170413 \nL 409.729273 229.219075 \nL 409.790152 228.825827 \nL 409.851031 228.563662 \nL 409.972789 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432.619708 228.825827 \nL 432.680587 228.825827 \nL 432.741466 229.219075 \nL 432.802344 229.087992 \nL 432.863223 227.646083 \nL 432.924102 228.301496 \nL 433.04586 228.825827 \nL 433.106738 228.694744 \nL 433.167617 228.825827 \nL 433.228496 228.301496 \nL 433.289375 229.219075 \nL 433.350254 228.694744 \nL 433.411132 229.087992 \nL 433.472011 228.039331 \nL 433.53289 228.563662 \nL 433.654648 229.087992 \nL 433.715527 228.825827 \nL 433.776405 229.219075 \nL 433.959042 227.777165 \nL 434.141678 229.219075 \nL 434.202557 228.825827 \nL 434.263436 228.95691 \nL 434.324315 229.087992 \nL 434.446072 228.563662 \nL 434.506951 228.694744 \nL 434.56783 229.219075 \nL 434.628709 229.087992 \nL 434.689588 228.432579 \nL 434.750466 228.95691 \nL 434.811345 228.694744 \nL 434.872224 229.219075 \nL 434.933103 228.039331 \nL 434.993982 228.563662 \nL 435.05486 229.087992 \nL 435.115739 228.563662 \nL 435.176618 229.087992 \nL 435.237497 228.301496 \nL 435.298376 229.087992 \nL 435.359255 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442.055924 228.825827 \nL 442.116803 227.908248 \nL 442.177682 229.219075 \nL 442.238561 228.432579 \nL 442.299439 228.825827 \nL 442.360318 227.515 \nL 442.482076 229.219075 \nL 442.542955 228.170413 \nL 442.603834 228.694744 \nL 442.725591 228.039331 \nL 442.847349 229.350158 \nL 443.090864 228.170413 \nL 443.151743 228.563662 \nL 443.212622 228.301496 \nL 443.273501 227.908248 \nL 443.334379 228.432579 \nL 443.395258 226.990669 \nL 443.517016 229.481241 \nL 443.638773 228.432579 \nL 443.699652 228.694744 \nL 443.760531 229.219075 \nL 443.82141 227.777165 \nL 443.882289 228.432579 \nL 443.943167 227.908248 \nL 444.004046 229.087992 \nL 444.064925 228.170413 \nL 444.186683 229.481241 \nL 444.247562 228.825827 \nL 444.30844 228.825827 \nL 444.369319 228.95691 \nL 444.551956 228.039331 \nL 444.734592 228.694744 \nL 444.85635 228.039331 \nL 445.038986 229.219075 \nL 445.099865 227.383917 \nL 445.160744 228.825827 \nL 445.221623 228.694744 \nL 445.282501 228.825827 \nL 445.404259 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503.543528 229.874489 \nL 503.665285 228.039331 \nL 503.726164 228.301496 \nL 503.9088 229.612323 \nL 503.969679 228.694744 \nL 504.030558 229.350158 \nL 504.152316 228.563662 \nL 504.45671 229.481241 \nL 504.578467 228.694744 \nL 504.639346 228.563662 \nL 504.700225 229.219075 \nL 504.761104 229.087992 \nL 504.882861 228.039331 \nL 505.065498 229.087992 \nL 505.187256 228.563662 \nL 505.248134 228.95691 \nL 505.309013 228.694744 \nL 505.369892 228.170413 \nL 505.552528 229.350158 \nL 505.613407 228.301496 \nL 505.674286 228.694744 \nL 505.735165 229.350158 \nL 505.917801 227.646083 \nL 506.100438 228.825827 \nL 506.222195 228.039331 \nL 506.343953 229.087992 \nL 506.404832 228.95691 \nL 506.465711 229.350158 \nL 506.648347 228.170413 \nL 506.709226 229.219075 \nL 506.770105 229.087992 \nL 506.830984 228.039331 \nL 506.891862 228.825827 \nL 506.952741 228.301496 \nL 507.01362 229.087992 \nL 507.074499 227.777165 \nL 507.135378 228.170413 \nL 507.196256 228.95691 \nL 507.257135 228.825827 \nL 507.318014 228.432579 \nL 507.378893 229.087992 \nL 507.439772 228.694744 \nL 507.500651 227.515 \nL 507.622408 228.825827 \nL 507.683287 228.170413 \nL 507.744166 228.694744 \nL 507.805045 228.95691 \nL 507.865923 228.563662 \nL 507.926802 229.743406 \nL 507.987681 228.563662 \nL 508.04856 228.694744 \nL 508.109439 228.563662 \nL 508.170317 229.743406 \nL 508.231196 228.95691 \nL 508.292075 229.481241 \nL 508.53559 227.908248 \nL 508.657348 229.481241 \nL 508.779106 228.563662 \nL 508.839984 229.350158 \nL 508.900863 228.301496 \nL 508.961742 228.825827 \nL 509.022621 229.612323 \nL 509.0835 228.432579 \nL 509.144379 228.825827 \nL 509.205257 229.219075 \nL 509.327015 228.039331 \nL 509.387894 228.825827 \nL 509.448773 228.432579 \nL 509.509651 227.777165 \nL 509.631409 229.087992 \nL 509.692288 228.825827 \nL 509.753167 229.350158 \nL 509.814045 228.301496 \nL 509.874924 228.432579 \nL 509.935803 228.170413 \nL 509.996682 229.481241 \nL 510.057561 228.170413 \nL 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228.825827 \nL 513.345017 229.350158 \nL 513.527653 228.039331 \nL 513.71029 228.170413 \nL 513.832047 229.219075 \nL 513.892926 228.95691 \nL 513.953805 229.219075 \nL 514.014684 227.383917 \nL 514.136441 229.350158 \nL 514.19732 229.087992 \nL 514.258199 228.301496 \nL 514.319078 228.95691 \nL 514.501714 228.039331 \nL 514.562593 229.219075 \nL 514.623472 228.95691 \nL 514.684351 229.350158 \nL 514.806108 226.990669 \nL 514.927866 229.087992 \nL 515.049624 228.563662 \nL 515.171381 229.481241 \nL 515.23226 227.908248 \nL 515.293139 228.825827 \nL 515.414896 228.432579 \nL 515.475775 228.563662 \nL 515.536654 229.219075 \nL 515.597533 228.825827 \nL 515.658412 227.383917 \nL 515.719291 228.432579 \nL 515.901927 229.350158 \nL 516.023685 228.563662 \nL 516.145442 229.087992 \nL 516.206321 228.563662 \nL 516.2672 228.694744 \nL 516.328079 228.694744 \nL 516.388958 227.777165 \nL 516.449836 228.432579 \nL 516.510715 228.432579 \nL 516.571594 228.95691 \nL 516.632473 228.432579 \nL 516.693352 228.563662 \nL 516.75423 228.563662 \nL 516.875988 229.087992 \nL 517.058624 228.301496 \nL 517.119503 228.95691 \nL 517.180382 228.301496 \nL 517.241261 229.612323 \nL 517.30214 228.694744 \nL 517.363019 228.95691 \nL 517.423897 228.301496 \nL 517.484776 228.432579 \nL 517.606534 229.350158 \nL 517.667413 228.432579 \nL 517.728291 228.825827 \nL 517.78917 229.612323 \nL 517.910928 228.170413 \nL 517.971807 229.087992 \nL 518.093564 228.170413 \nL 518.154443 228.694744 \nL 518.215322 228.432579 \nL 518.33708 229.219075 \nL 518.397958 228.039331 \nL 518.458837 228.825827 \nL 518.519716 228.694744 \nL 518.580595 229.087992 \nL 518.641474 228.825827 \nL 518.82411 228.170413 \nL 518.884989 228.432579 \nL 519.006747 229.481241 \nL 519.067625 227.646083 \nL 519.128504 227.908248 \nL 519.250262 229.219075 \nL 519.372019 229.087992 \nL 519.432898 229.087992 \nL 519.493777 227.515 \nL 519.554656 228.432579 \nL 519.615535 228.95691 \nL 519.676414 228.694744 \nL 519.737292 227.383917 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228.432579 \nL 523.085627 228.170413 \nL 523.146506 228.694744 \nL 523.207385 228.170413 \nL 523.268264 228.694744 \nL 523.329142 228.301496 \nL 523.511779 228.825827 \nL 523.572658 229.087992 \nL 523.633537 228.432579 \nL 523.694415 228.694744 \nL 523.755294 228.825827 \nL 523.877052 228.039331 \nL 524.059688 228.825827 \nL 524.120567 228.039331 \nL 524.242325 228.825827 \nL 524.364082 228.301496 \nL 524.48584 229.087992 \nL 524.546719 228.95691 \nL 524.607598 228.170413 \nL 524.668476 228.95691 \nL 524.729355 228.825827 \nL 524.790234 228.825827 \nL 524.851113 229.612323 \nL 524.911992 228.694744 \nL 524.97287 228.95691 \nL 525.033749 228.694744 \nL 525.094628 227.646083 \nL 525.155507 229.087992 \nL 525.216386 228.432579 \nL 525.277265 228.432579 \nL 525.338143 229.350158 \nL 525.399022 228.039331 \nL 525.459901 228.563662 \nL 525.52078 228.694744 \nL 525.581659 229.219075 \nL 525.642537 228.170413 \nL 525.703416 228.432579 \nL 525.764295 228.301496 \nL 525.825174 228.694744 \nL 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535.078754 229.350158 \nL 535.139633 228.039331 \nL 535.200511 228.694744 \nL 535.26139 228.170413 \nL 535.322269 229.219075 \nL 535.383148 228.825827 \nL 535.444027 228.95691 \nL 535.504905 228.301496 \nL 535.565784 228.825827 \nL 535.626663 229.087992 \nL 535.687542 228.170413 \nL 535.748421 228.563662 \nL 535.8093 228.563662 \nL 535.931057 228.301496 \nL 535.991936 229.481241 \nL 536.052815 227.777165 \nL 536.113694 229.087992 \nL 536.174572 229.219075 \nL 536.418088 228.170413 \nL 536.478967 228.170413 \nL 536.539845 228.039331 \nL 536.600724 229.219075 \nL 536.661603 228.301496 \nL 536.722482 228.301496 \nL 536.844239 229.219075 \nL 536.905118 228.95691 \nL 536.965997 229.350158 \nL 537.087755 228.301496 \nL 537.148633 228.694744 \nL 537.209512 227.777165 \nL 537.392149 229.087992 \nL 537.453028 228.301496 \nL 537.513906 228.825827 \nL 537.574785 228.170413 \nL 537.635664 228.563662 \nL 537.696543 228.694744 \nL 537.757422 228.563662 \nL 537.8183 228.563662 \nL 537.879179 228.825827 \nL 538.061816 227.908248 \nL 538.183573 229.087992 \nL 538.244452 228.170413 \nL 538.305331 229.219075 \nL 538.36621 228.432579 \nL 538.427089 227.383917 \nL 538.487967 228.95691 \nL 538.548846 228.301496 \nL 538.792362 228.563662 \nL 538.85324 228.432579 \nL 538.974998 229.350158 \nL 539.035877 229.219075 \nL 539.096756 228.170413 \nL 539.218513 229.481241 \nL 539.340271 227.908248 \nL 539.462028 229.350158 \nL 539.522907 228.95691 \nL 539.705544 228.301496 \nL 539.766423 229.350158 \nL 539.827301 228.694744 \nL 539.88818 228.825827 \nL 539.949059 228.694744 \nL 540.009938 228.563662 \nL 540.131695 229.219075 \nL 540.192574 228.170413 \nL 540.253453 229.087992 \nL 540.314332 228.301496 \nL 540.375211 228.563662 \nL 540.43609 228.825827 \nL 540.557847 228.563662 \nL 540.618726 228.825827 \nL 540.679605 228.170413 \nL 540.801362 229.481241 \nL 540.92312 227.646083 \nL 541.105756 229.350158 \nL 541.166635 229.350158 \nL 541.288393 227.777165 \nL 541.349272 228.95691 \nL 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108.774187 229.874489 \nL 108.895944 227.166643 \nL 109.017702 229.874489 \nL 109.078581 229.874489 \nL 109.13946 228.069258 \nL 109.261217 229.874489 \nL 109.322096 228.069258 \nL 109.443854 229.874489 \nL 109.504733 229.874489 \nL 109.687369 222.653567 \nL 109.809127 229.874489 \nL 109.930884 227.166643 \nL 110.052642 229.874489 \nL 110.1744 229.874489 \nL 110.235278 228.971873 \nL 110.296157 226.264028 \nL 110.357036 229.874489 \nL 110.417915 225.361413 \nL 110.478794 226.264028 \nL 110.66143 229.874489 \nL 110.722309 227.166643 \nL 110.783188 228.971873 \nL 110.844067 228.971873 \nL 111.026703 226.264028 \nL 111.148461 229.874489 \nL 111.270218 227.166643 \nL 111.391976 229.874489 \nL 111.452855 227.166643 \nL 111.513734 229.874489 \nL 111.574612 228.971873 \nL 111.635491 228.971873 \nL 111.69637 224.458797 \nL 111.818128 229.874489 \nL 111.879006 225.361413 \nL 111.939885 228.971873 \nL 112.061643 229.874489 \nL 112.122522 228.971873 \nL 112.1834 229.874489 \nL 112.244279 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115.531735 229.874489 \nL 115.592614 228.971873 \nL 115.775251 223.556182 \nL 116.018766 228.971873 \nL 116.079645 228.069258 \nL 116.140523 229.874489 \nL 116.201402 228.971873 \nL 116.262281 228.971873 \nL 116.32316 229.874489 \nL 116.444918 228.069258 \nL 116.505796 229.874489 \nL 116.566675 228.069258 \nL 116.627554 229.874489 \nL 116.688433 228.069258 \nL 116.749312 229.874489 \nL 116.81019 228.069258 \nL 116.871069 229.874489 \nL 116.931948 228.971873 \nL 116.992827 228.069258 \nL 117.053706 228.971873 \nL 117.114585 228.069258 \nL 117.236342 229.874489 \nL 117.297221 228.069258 \nL 117.3581 229.874489 \nL 117.418979 223.556182 \nL 117.479857 229.874489 \nL 117.540736 226.264028 \nL 117.601615 228.069258 \nL 117.723373 225.361413 \nL 117.84513 229.874489 \nL 117.966888 228.069258 \nL 118.027767 229.874489 \nL 118.088646 228.971873 \nL 118.149524 228.069258 \nL 118.332161 229.874489 \nL 118.453918 227.166643 \nL 118.514797 225.361413 \nL 118.636555 229.874489 \nL 118.697434 228.971873 \nL 118.819191 229.874489 \nL 118.88007 228.971873 \nL 119.001828 229.874489 \nL 119.184464 229.874489 \nL 119.245343 228.069258 \nL 119.306222 228.971873 \nL 119.367101 229.874489 \nL 119.42798 227.166643 \nL 119.488858 228.971873 \nL 119.549737 228.971873 \nL 119.610616 229.874489 \nL 119.671495 228.069258 \nL 119.793252 229.874489 \nL 119.854131 229.874489 \nL 120.036768 227.166643 \nL 120.158525 229.874489 \nL 120.280283 229.874489 \nL 120.341162 227.166643 \nL 120.402041 229.874489 \nL 120.462919 228.971873 \nL 120.523798 228.971873 \nL 120.706435 226.264028 \nL 120.767313 229.874489 \nL 120.828192 228.971873 \nL 120.889071 229.874489 \nL 120.94995 228.069258 \nL 121.010829 229.874489 \nL 121.071708 228.971873 \nL 121.193465 229.874489 \nL 121.254344 228.971873 \nL 121.315223 229.874489 \nL 121.376102 228.971873 \nL 121.43698 229.874489 \nL 121.558738 228.069258 \nL 121.741374 229.874489 \nL 121.802253 229.874489 \nL 121.863132 228.971873 \nL 121.98489 229.874489 \nL 122.045769 228.971873 \nL 122.106647 229.874489 \nL 122.167526 228.971873 \nL 122.228405 229.874489 \nL 122.350163 224.458797 \nL 122.411041 227.166643 \nL 122.532799 229.874489 \nL 122.593678 226.264028 \nL 122.654557 228.971873 \nL 122.715436 228.069258 \nL 122.837193 229.874489 \nL 122.898072 228.069258 \nL 122.958951 229.874489 \nL 123.01983 228.069258 \nL 123.080708 229.874489 \nL 123.141587 228.069258 \nL 123.202466 229.874489 \nL 123.263345 228.971873 \nL 123.385102 229.874489 \nL 123.50686 227.166643 \nL 123.567739 229.874489 \nL 123.628618 228.069258 \nL 123.750375 229.874489 \nL 123.811254 228.971873 \nL 123.872133 229.874489 \nL 123.933012 226.264028 \nL 124.054769 229.874489 \nL 124.176527 227.166643 \nL 124.237406 229.874489 \nL 124.298285 228.971873 \nL 124.420042 229.874489 \nL 124.480921 228.971873 \nL 124.5418 229.874489 \nL 124.602679 228.069258 \nL 124.663558 229.874489 \nL 124.724436 228.971873 \nL 124.785315 225.361413 \nL 124.907073 229.874489 \nL 124.967952 228.069258 \nL 125.089709 229.874489 \nL 125.150588 228.971873 \nL 125.211467 229.874489 \nL 125.394103 227.166643 \nL 125.454982 229.874489 \nL 125.515861 228.971873 \nL 125.57674 229.874489 \nL 125.637619 224.458797 \nL 125.759376 229.874489 \nL 125.881134 228.971873 \nL 125.942013 228.971873 \nL 126.002892 229.874489 \nL 126.185528 228.069258 \nL 126.246407 229.874489 \nL 126.368164 228.069258 \nL 126.489922 229.874489 \nL 126.550801 228.971873 \nL 126.61168 229.874489 \nL 126.733437 228.069258 \nL 126.855195 229.874489 \nL 126.916074 228.971873 \nL 127.037831 229.874489 \nL 127.09871 226.264028 \nL 127.159589 228.971873 \nL 127.220468 228.069258 \nL 127.342225 228.971873 \nL 127.403104 228.069258 \nL 127.524862 229.874489 \nL 127.585741 227.166643 \nL 127.64662 229.874489 \nL 127.707498 228.971873 \nL 127.829256 229.874489 \nL 127.890135 229.874489 \nL 128.072771 228.069258 \nL 128.13365 228.069258 \nL 128.194529 227.166643 \nL 128.316287 229.874489 \nL 128.438044 229.874489 \nL 128.498923 228.971873 \nL 128.559802 225.361413 \nL 128.681559 228.971873 \nL 128.742438 228.069258 \nL 128.803317 229.874489 \nL 128.864196 228.971873 \nL 128.985953 229.874489 \nL 129.046832 225.361413 \nL 129.16859 229.874489 \nL 129.229469 228.971873 \nL 129.290348 229.874489 \nL 129.351226 228.971873 \nL 129.412105 229.874489 \nL 129.472984 228.971873 \nL 129.533863 229.874489 \nL 129.594742 228.971873 \nL 129.716499 229.874489 \nL 129.838257 229.874489 \nL 129.960015 228.971873 \nL 130.020893 228.971873 \nL 130.081772 229.874489 \nL 130.142651 228.069258 \nL 130.264409 229.874489 \nL 130.325287 227.166643 \nL 130.386166 228.971873 \nL 130.447045 228.971873 \nL 130.507924 229.874489 \nL 130.568803 227.166643 \nL 130.629681 228.971873 \nL 130.751439 229.874489 \nL 130.873197 228.971873 \nL 130.934076 229.874489 \nL 131.055833 228.971873 \nL 131.177591 229.874489 \nL 131.299348 228.971873 \nL 131.360227 229.874489 \nL 131.421106 228.971873 \nL 131.481985 229.874489 \nL 131.542864 228.971873 \nL 131.664621 229.874489 \nL 131.847258 228.069258 \nL 131.908137 229.874489 \nL 131.969015 228.971873 \nL 132.029894 228.971873 \nL 132.090773 228.069258 \nL 132.212531 229.874489 \nL 132.334288 228.069258 \nL 132.456046 229.874489 \nL 132.577804 229.874489 \nL 132.638682 227.166643 \nL 132.699561 228.971873 \nL 132.821319 229.874489 \nL 132.882198 229.874489 \nL 133.003955 228.069258 \nL 133.125713 228.971873 \nL 133.247471 227.166643 \nL 133.308349 228.971873 \nL 133.369228 227.166643 \nL 133.490986 229.874489 \nL 133.612743 228.971873 \nL 133.673622 228.971873 \nL 133.79538 229.874489 \nL 133.856259 228.069258 \nL 133.978016 229.874489 \nL 134.038895 228.971873 \nL 134.099774 229.874489 \nL 134.160653 227.166643 \nL 134.221532 228.069258 \nL 134.343289 229.874489 \nL 134.404168 228.971873 \nL 134.525926 229.874489 \nL 134.586804 228.971873 \nL 134.708562 229.874489 \nL 134.891199 227.166643 \nL 134.952077 229.874489 \nL 135.012956 225.361413 \nL 135.073835 229.874489 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142.196656 228.069258 \nL 142.318414 229.874489 \nL 142.440172 229.874489 \nL 142.50105 228.971873 \nL 142.561929 229.874489 \nL 142.622808 223.556182 \nL 142.744566 229.874489 \nL 142.866323 227.166643 \nL 142.988081 228.971873 \nL 143.04896 228.069258 \nL 143.170717 229.874489 \nL 143.231596 229.874489 \nL 143.292475 228.971873 \nL 143.414233 229.874489 \nL 143.475111 229.874489 \nL 143.596869 228.069258 \nL 143.718627 228.971873 \nL 143.779506 228.069258 \nL 143.901263 229.874489 \nL 143.962142 228.971873 \nL 144.0839 229.874489 \nL 144.205657 229.874489 \nL 144.266536 228.069258 \nL 144.327415 228.971873 \nL 144.388294 228.971873 \nL 144.449173 229.874489 \nL 144.510051 228.971873 \nL 144.631809 229.874489 \nL 144.753567 228.971873 \nL 144.814445 228.971873 \nL 144.875324 229.874489 \nL 144.997082 226.264028 \nL 145.057961 229.874489 \nL 145.118839 228.971873 \nL 145.179718 229.874489 \nL 145.301476 228.069258 \nL 145.362355 229.874489 \nL 145.423234 228.971873 \nL 145.484112 229.874489 \nL 145.544991 228.971873 \nL 145.666749 229.874489 \nL 145.727628 228.971873 \nL 145.788506 229.874489 \nL 145.849385 228.971873 \nL 145.971143 229.874489 \nL 146.032022 229.874489 \nL 146.214658 226.264028 \nL 146.336416 229.874489 \nL 146.397295 228.971873 \nL 146.458173 229.874489 \nL 146.519052 228.971873 \nL 146.64081 229.874489 \nL 146.701689 229.874489 \nL 146.762568 228.971873 \nL 146.823446 229.874489 \nL 146.884325 228.971873 \nL 146.945204 224.458797 \nL 147.066962 228.971873 \nL 147.249598 226.264028 \nL 147.310477 227.166643 \nL 147.432234 229.874489 \nL 147.493113 228.971873 \nL 147.614871 229.874489 \nL 147.736629 228.069258 \nL 147.858386 229.874489 \nL 148.16278 229.874489 \nL 148.223659 228.971873 \nL 148.284538 229.874489 \nL 148.345417 228.971873 \nL 148.406296 229.874489 \nL 148.467174 228.069258 \nL 148.528053 229.874489 \nL 148.588932 227.166643 \nL 148.649811 228.069258 \nL 148.832447 229.874489 \nL 148.893326 228.971873 \nL 149.015084 229.874489 \nL 149.136841 229.874489 \nL 149.19772 228.971873 \nL 149.258599 225.361413 \nL 149.380357 228.971873 \nL 149.441235 228.069258 \nL 149.562993 229.874489 \nL 149.684751 228.971873 \nL 149.806508 229.874489 \nL 149.928266 228.971873 \nL 149.989145 229.874489 \nL 150.050024 228.971873 \nL 150.110902 229.874489 \nL 150.171781 228.971873 \nL 150.293539 229.874489 \nL 150.354418 229.874489 \nL 150.476175 228.069258 \nL 150.658812 229.874489 \nL 150.780569 228.971873 \nL 150.841448 228.971873 \nL 150.902327 228.069258 \nL 150.963206 228.971873 \nL 151.084963 227.166643 \nL 151.206721 229.874489 \nL 151.328479 229.874489 \nL 151.389357 228.971873 \nL 151.511115 229.874489 \nL 151.571994 229.874489 \nL 151.632873 227.166643 \nL 151.693752 228.971873 \nL 151.876388 228.971873 \nL 151.998146 229.874489 \nL 152.059024 229.874489 \nL 152.119903 228.971873 \nL 152.180782 229.874489 \nL 152.30254 228.971873 \nL 152.424297 229.874489 \nL 152.485176 228.069258 \nL 152.546055 228.971873 \nL 152.667813 229.874489 \nL 152.728691 228.971873 \nL 152.78957 229.874489 \nL 152.850449 228.971873 \nL 152.911328 229.874489 \nL 152.972207 228.971873 \nL 153.093964 229.874489 \nL 153.154843 229.874489 \nL 153.276601 228.971873 \nL 153.33748 228.971873 \nL 153.398358 229.874489 \nL 153.520116 228.971873 \nL 153.580995 229.874489 \nL 153.641874 228.971873 \nL 153.763631 229.874489 \nL 153.885389 229.874489 \nL 153.946268 228.971873 \nL 154.007147 229.874489 \nL 154.128904 228.971873 \nL 154.250662 229.874489 \nL 154.372419 229.874489 \nL 154.433298 228.971873 \nL 154.494177 229.874489 \nL 154.615935 228.971873 \nL 154.737692 229.874489 \nL 154.798571 229.874489 \nL 154.920329 228.971873 \nL 154.981208 229.874489 \nL 155.042086 227.166643 \nL 155.102965 228.971873 \nL 155.163844 229.874489 \nL 155.224723 227.166643 \nL 155.285602 228.069258 \nL 155.34648 228.069258 \nL 155.529117 229.874489 \nL 155.589996 229.874489 \nL 155.650875 228.971873 \nL 155.711753 229.874489 \nL 155.833511 228.069258 \nL 155.89439 229.874489 \nL 155.955269 228.971873 \nL 156.016147 229.874489 \nL 156.077026 228.971873 \nL 156.198784 229.874489 \nL 156.259663 229.874489 \nL 156.320541 228.971873 \nL 156.442299 229.874489 \nL 156.685814 229.874489 \nL 156.807572 228.971873 \nL 156.92933 229.874489 \nL 156.990208 229.874489 \nL 157.051087 228.971873 \nL 157.111966 229.874489 \nL 157.172845 228.971873 \nL 157.294603 229.874489 \nL 157.355481 228.069258 \nL 157.477239 229.874489 \nL 157.598997 229.874489 \nL 157.659875 225.361413 \nL 157.720754 228.971873 \nL 157.781633 228.971873 \nL 157.842512 228.069258 \nL 157.903391 228.971873 \nL 157.964269 228.069258 \nL 158.025148 229.874489 \nL 158.086027 228.069258 \nL 158.146906 228.971873 \nL 158.268664 228.971873 \nL 158.390421 229.874489 \nL 158.512179 228.971873 \nL 158.633936 228.971873 \nL 158.694815 229.874489 \nL 158.755694 228.971873 \nL 158.877452 229.874489 \nL 158.999209 229.874489 \nL 159.120967 228.971873 \nL 159.181846 229.874489 \nL 159.303603 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163.260726 228.971873 \nL 163.443363 227.166643 \nL 163.504242 229.874489 \nL 163.56512 228.971873 \nL 163.625999 228.971873 \nL 163.747757 229.874489 \nL 163.869515 229.874489 \nL 163.930393 228.971873 \nL 164.052151 229.874489 \nL 164.11303 229.874489 \nL 164.295666 228.069258 \nL 164.356545 228.069258 \nL 164.539182 229.874489 \nL 164.660939 229.874489 \nL 164.782697 228.971873 \nL 164.843576 229.874489 \nL 164.904454 226.264028 \nL 164.965333 229.874489 \nL 165.026212 226.264028 \nL 165.087091 228.971873 \nL 165.14797 229.874489 \nL 165.208848 228.971873 \nL 165.330606 229.874489 \nL 165.574121 229.874489 \nL 165.695879 228.971873 \nL 165.756758 229.874489 \nL 165.817637 228.971873 \nL 165.939394 229.874489 \nL 166.000273 228.971873 \nL 166.122031 229.874489 \nL 166.18291 228.971873 \nL 166.243788 229.874489 \nL 166.304667 228.971873 \nL 166.365546 229.874489 \nL 166.426425 228.069258 \nL 166.487304 229.874489 \nL 166.548182 228.069258 \nL 166.609061 228.971873 \nL 166.66994 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229.874489 \nL 174.827701 228.069258 \nL 174.949459 229.874489 \nL 175.071217 229.874489 \nL 175.132095 226.264028 \nL 175.192974 228.971873 \nL 175.253853 228.971873 \nL 175.314732 229.874489 \nL 175.375611 227.166643 \nL 175.436489 229.874489 \nL 175.497368 228.971873 \nL 175.619126 229.874489 \nL 175.680005 229.874489 \nL 175.801762 227.166643 \nL 175.862641 229.874489 \nL 175.92352 228.971873 \nL 175.984399 229.874489 \nL 176.045278 228.971873 \nL 176.167035 229.874489 \nL 176.227914 226.264028 \nL 176.349672 229.874489 \nL 176.41055 228.971873 \nL 176.532308 229.874489 \nL 176.593187 228.971873 \nL 176.714945 229.874489 \nL 176.775823 229.874489 \nL 176.836702 228.971873 \nL 176.897581 229.874489 \nL 176.95846 227.166643 \nL 177.019339 229.874489 \nL 177.080217 228.971873 \nL 177.141096 229.874489 \nL 177.262854 226.264028 \nL 177.323733 229.874489 \nL 177.384612 228.069258 \nL 177.506369 229.874489 \nL 177.628127 228.971873 \nL 177.749884 229.874489 \nL 177.871642 229.874489 \nL 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228.069258 \nL 204.536563 229.874489 \nL 204.597442 227.166643 \nL 204.658321 229.874489 \nL 204.7192 228.069258 \nL 204.840957 229.874489 \nL 204.962715 228.069258 \nL 205.084472 229.874489 \nL 205.145351 228.971873 \nL 205.267109 229.874489 \nL 205.327988 229.874489 \nL 205.388867 228.069258 \nL 205.449745 229.874489 \nL 205.510624 228.971873 \nL 205.632382 229.874489 \nL 205.936776 229.874489 \nL 206.058533 228.971873 \nL 206.119412 228.971873 \nL 206.180291 229.874489 \nL 206.24117 228.069258 \nL 206.302049 229.874489 \nL 206.362928 228.971873 \nL 206.606443 228.971873 \nL 206.667322 229.874489 \nL 206.7282 228.069258 \nL 206.789079 228.971873 \nL 206.849958 229.874489 \nL 206.971716 228.971873 \nL 207.032595 228.971873 \nL 207.154352 229.874489 \nL 207.27611 229.874489 \nL 207.397867 228.971873 \nL 207.580504 228.971873 \nL 207.702261 229.874489 \nL 207.76314 227.166643 \nL 207.884898 229.874489 \nL 207.945777 228.971873 \nL 208.067534 229.874489 \nL 208.128413 228.971873 \nL 208.189292 229.874489 \nL 208.31105 228.971873 \nL 208.371928 229.874489 \nL 208.432807 228.971873 \nL 208.554565 229.874489 \nL 208.615444 229.874489 \nL 208.676323 228.971873 \nL 208.79808 229.874489 \nL 208.858959 228.971873 \nL 208.980717 229.874489 \nL 209.406868 229.874489 \nL 209.589505 227.166643 \nL 209.711262 229.874489 \nL 209.772141 228.971873 \nL 209.83302 229.874489 \nL 209.954778 228.971873 \nL 210.076535 229.874489 \nL 210.259172 229.874489 \nL 210.320051 228.971873 \nL 210.380929 229.874489 \nL 210.502687 228.971873 \nL 210.563566 228.971873 \nL 210.624445 223.556182 \nL 210.746202 229.874489 \nL 210.928839 229.874489 \nL 210.989717 228.069258 \nL 211.050596 228.971873 \nL 211.172354 229.874489 \nL 211.233233 228.971873 \nL 211.294112 229.874489 \nL 211.35499 228.971873 \nL 211.476748 229.874489 \nL 211.720263 229.874489 \nL 211.781142 228.971873 \nL 211.842021 229.874489 \nL 211.963779 228.971873 \nL 212.085536 229.874489 \nL 212.207294 228.069258 \nL 212.329051 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      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (12, 4))\n",
    "ax.set_title(\"Timesteps to complete ride\")    \n",
    "pd.Series(timesteps_per_episode).plot(kind='line')\n",
    "plt.show()\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (12, 4))\n",
    "ax.set_title(\"Penalties per ride\")    \n",
    "pd.Series(penalties_per_episode).plot(kind='line')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1bfec95",
   "metadata": {},
   "source": [
    "## Let's evaluate this driver starting from a fixed `state = 123`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "f1b1ee76",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Timesteps taken: 11\n",
      "Penalties incurred: 0\n"
     ]
    }
   ],
   "source": [
    "# set initial state of the environment\n",
    "state = 123\n",
    "env.s = state\n",
    "\n",
    "epochs = 0\n",
    "penalties = 0\n",
    "reward = 0\n",
    "\n",
    "# store frames to latter plot them\n",
    "frames = []\n",
    "\n",
    "done = False\n",
    "\n",
    "while not done:\n",
    "    \n",
    "    action = agent.get_action(state)\n",
    "    \n",
    "    next_state, reward, done, info = env.step(action)\n",
    "\n",
    "    if reward == -10:\n",
    "        penalties += 1\n",
    "    \n",
    "    frames.append({\n",
    "        'frame': env.render(mode='ansi'),\n",
    "        'state': state,\n",
    "        'action': action,\n",
    "        'reward': reward\n",
    "        }\n",
    "    )\n",
    "\n",
    "    state = next_state\n",
    "\n",
    "    epochs += 1\n",
    "    \n",
    "print(\"Timesteps taken: {}\".format(epochs))\n",
    "print(\"Penalties incurred: {}\".format(penalties))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "e85d12b7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------+\n",
      "|R: | : :G|\n",
      "| : | : : |\n",
      "| : : : : |\n",
      "| | : | : |\n",
      "|Y| : |\u001b[35m\u001b[34;1m\u001b[43mB\u001b[0m\u001b[0m\u001b[0m: |\n",
      "+---------+\n",
      "  (Dropoff)\n",
      "\n",
      "Timestep: 11\n",
      "State: 475\n",
      "Action: 5\n",
      "Reward: 20\n"
     ]
    }
   ],
   "source": [
    "from IPython.display import clear_output\n",
    "from time import sleep\n",
    "\n",
    "def print_frames(frames):\n",
    "    for i, frame in enumerate(frames):\n",
    "        clear_output(wait=True)\n",
    "        print(frame['frame'])\n",
    "        print(f\"Timestep: {i + 1} of {len(frames)}\")\n",
    "        print(f\"State: {frame['state']}\")\n",
    "        print(f\"Action: {frame['action']}\")\n",
    "        print(f\"Reward: {frame['reward']}\")\n",
    "        sleep(.1)\n",
    "        \n",
    "print_frames(frames)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9b78f92",
   "metadata": {},
   "source": [
    "## Let's evaluate this trained agent on 100 episodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "b8dfb254",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 2369.72it/s]\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "from tqdm import tqdm\n",
    "\n",
    "# exploration vs exploitation prob\n",
    "epsilon = 0.05\n",
    "\n",
    "n_episodes = 100\n",
    "\n",
    "# For plotting metrics\n",
    "timesteps_per_episode = []\n",
    "penalties_per_episode = []\n",
    "\n",
    "\n",
    "for i in tqdm(range(0, n_episodes)):\n",
    "    \n",
    "    state = env.reset()      \n",
    "    \n",
    "    epochs, penalties, reward, = 0, 0, 0\n",
    "    done = False\n",
    "    \n",
    "    while not done:\n",
    "        \n",
    "        if random.uniform(0, 1) < epsilon:\n",
    "            # Explore action space\n",
    "            action = env.action_space.sample()\n",
    "        else:\n",
    "            # Exploit learned values\n",
    "            action = agent.get_action(state)\n",
    "        \n",
    "        next_state, reward, done, info = env.step(action)\n",
    "                              \n",
    "        if reward == -10:\n",
    "            penalties += 1\n",
    "\n",
    "        state = next_state\n",
    "        epochs += 1\n",
    "            \n",
    "    timesteps_per_episode.append(epochs)\n",
    "    penalties_per_episode.append(penalties)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "bbe0b7e7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Avg steps to complete ride: 15.95\n",
      "Avg penalties to complete ride: 0.09\n"
     ]
    }
   ],
   "source": [
    "print(f'Avg steps to complete ride: {np.array(timesteps_per_episode).mean()}')\n",
    "print(f'Avg penalties to complete ride: {np.array(penalties_per_episode).mean()}')"
   ]
  }
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