2-models.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import models and data splitting from sktime\n",
    "from sktime.forecasting.model_selection import SlidingWindowSplitter\n",
    "from sktime.forecasting.compose import TransformedTargetForecaster\n",
    "from sktime.transformations.series.detrend import Detrender\n",
    "from sktime.transformations.series.impute import Imputer\n",
    "from sktime.forecasting.naive import NaiveForecaster\n",
    "\n",
    "# Import metrics\n",
    "from sktime.performance_metrics.forecasting import MeanAbsoluteError\n",
    "\n",
    "# Silence warnings\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "# Data acquisition and processing tools\n",
    "from tqdm import tqdm\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After loading the data, we must set the dates to a `pandas` `PeriodIndex` format for it to be compatible with `sktime`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>tavg</th>\n",
       "      <th>tmin</th>\n",
       "      <th>tmax</th>\n",
       "      <th>wdir</th>\n",
       "      <th>wspd</th>\n",
       "      <th>pres</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-01-01</th>\n",
       "      <td>3.1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>5.4</td>\n",
       "      <td>48.0</td>\n",
       "      <td>6.5</td>\n",
       "      <td>1011.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-02</th>\n",
       "      <td>5.0</td>\n",
       "      <td>2.3</td>\n",
       "      <td>7.7</td>\n",
       "      <td>335.0</td>\n",
       "      <td>11.4</td>\n",
       "      <td>1009.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-03</th>\n",
       "      <td>4.0</td>\n",
       "      <td>0.7</td>\n",
       "      <td>6.6</td>\n",
       "      <td>223.0</td>\n",
       "      <td>12.2</td>\n",
       "      <td>1007.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-04</th>\n",
       "      <td>4.7</td>\n",
       "      <td>2.2</td>\n",
       "      <td>10.4</td>\n",
       "      <td>190.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>1005.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-05</th>\n",
       "      <td>6.4</td>\n",
       "      <td>3.7</td>\n",
       "      <td>9.5</td>\n",
       "      <td>144.0</td>\n",
       "      <td>6.3</td>\n",
       "      <td>1007.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-09-23</th>\n",
       "      <td>12.0</td>\n",
       "      <td>6.8</td>\n",
       "      <td>17.3</td>\n",
       "      <td>300.0</td>\n",
       "      <td>5.3</td>\n",
       "      <td>1020.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-09-24</th>\n",
       "      <td>12.2</td>\n",
       "      <td>5.5</td>\n",
       "      <td>18.2</td>\n",
       "      <td>98.0</td>\n",
       "      <td>8.3</td>\n",
       "      <td>1017.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-09-25</th>\n",
       "      <td>13.7</td>\n",
       "      <td>11.0</td>\n",
       "      <td>16.5</td>\n",
       "      <td>73.0</td>\n",
       "      <td>6.1</td>\n",
       "      <td>1014.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-09-26</th>\n",
       "      <td>14.6</td>\n",
       "      <td>12.4</td>\n",
       "      <td>18.1</td>\n",
       "      <td>327.0</td>\n",
       "      <td>7.9</td>\n",
       "      <td>1008.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-09-27</th>\n",
       "      <td>12.9</td>\n",
       "      <td>9.8</td>\n",
       "      <td>16.1</td>\n",
       "      <td>352.0</td>\n",
       "      <td>8.9</td>\n",
       "      <td>1002.4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1731 rows × 6 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            tavg  tmin  tmax   wdir  wspd    pres\n",
       "date                                             \n",
       "2018-01-01   3.1   0.6   5.4   48.0   6.5  1011.7\n",
       "2018-01-02   5.0   2.3   7.7  335.0  11.4  1009.5\n",
       "2018-01-03   4.0   0.7   6.6  223.0  12.2  1007.9\n",
       "2018-01-04   4.7   2.2  10.4  190.0   8.0  1005.8\n",
       "2018-01-05   6.4   3.7   9.5  144.0   6.3  1007.3\n",
       "...          ...   ...   ...    ...   ...     ...\n",
       "2022-09-23  12.0   6.8  17.3  300.0   5.3  1020.6\n",
       "2022-09-24  12.2   5.5  18.2   98.0   8.3  1017.7\n",
       "2022-09-25  13.7  11.0  16.5   73.0   6.1  1014.5\n",
       "2022-09-26  14.6  12.4  18.1  327.0   7.9  1008.4\n",
       "2022-09-27  12.9   9.8  16.1  352.0   8.9  1002.4\n",
       "\n",
       "[1731 rows x 6 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datapath = \"data/train.csv\"\n",
    "df = pd.read_csv(datapath, index_col=\"date\")\n",
    "df = df.set_index(pd.PeriodIndex(df.index, freq=\"D\").to_timestamp()).to_period(\"D\")\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating pipeline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we saw already in the exploratory data analysis notebook, there are two steps needed for preprocessing our data:\n",
    "- Linear interpolation for handling missing values\n",
    "- Classical decomposition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's create our linear interpolator and check that it works:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tavg    0\n",
       "tmin    0\n",
       "tmax    0\n",
       "wdir    0\n",
       "wspd    0\n",
       "pres    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "interpolator = Imputer(method=\"linear\")\n",
    "inter_df = interpolator.fit_transform(df)\n",
    "inter_df.isna().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's create our detrender so that we only use a model for only predicting on the seasonal component of the time series:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='date'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
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129.003434 \nL 133.94039 128.064279 \nL 134.353245 131.121779 \nL 134.766101 131.358815 \nL 135.385384 127.542434 \nL 135.79824 128.602106 \nL 136.211095 127.48767 \nL 136.417523 127.429909 \nL 136.623951 129.311217 \nL 136.830378 128.489581 \nL 137.036806 126.72779 \nL 137.243234 126.258712 \nL 137.449661 126.847307 \nL 137.862517 130.198606 \nL 138.068945 130.610922 \nL 138.4818 128.96765 \nL 138.688228 129.497486 \nL 138.894656 129.087167 \nL 139.307511 126.738778 \nL 139.513939 126.974816 \nL 139.720367 126.564497 \nL 139.926794 126.918054 \nL 140.133222 128.035487 \nL 140.752505 122.808874 \nL 140.958933 127.040568 \nL 141.165361 128.628078 \nL 141.371789 129.099154 \nL 141.578216 128.512556 \nL 141.991072 126.164168 \nL 142.816783 131.574052 \nL 143.229638 128.990625 \nL 143.436066 129.344182 \nL 143.848922 126.408197 \nL 144.055349 125.762839 \nL 144.261777 127.291589 \nL 144.468205 131.111966 \nL 145.087488 128.470778 \nL 145.500344 125.358514 \nL 146.326055 126.831501 \nL 146.532482 126.773741 \nL 146.945338 124.425352 \nL 147.358193 125.485024 \nL 147.564621 126.191139 \nL 147.771049 127.602369 \nL 147.977477 126.486935 \nL 148.183904 124.313826 \nL 148.390332 123.903507 \nL 148.59676 122.964352 \nL 148.803187 122.965351 \nL 149.009615 123.612706 \nL 149.216043 123.672464 \nL 149.422471 122.792069 \nL 149.628898 122.734308 \nL 149.835326 122.441508 \nL 150.041754 120.679717 \nL 150.248182 120.739476 \nL 150.661037 120.036358 \nL 150.867465 120.213636 \nL 151.073893 120.097115 \nL 151.486748 122.802058 \nL 151.693176 122.27422 \nL 152.106031 122.393737 \nL 152.312459 122.218457 \nL 152.518887 122.278215 \nL 152.725315 123.278129 \nL 153.344598 119.696786 \nL 153.551026 119.991583 \nL 153.757453 122.578007 \nL 153.963881 122.931564 \nL 154.376737 119.701781 \nL 154.583164 120.407895 \nL 154.99602 123.289117 \nL 155.408875 121.704604 \nL 155.615303 121.764362 \nL 155.821731 123.821949 \nL 156.234586 125.292939 \nL 156.441014 124.88262 \nL 156.85387 125.354695 \nL 157.060297 124.474299 \nL 157.266725 124.12274 \nL 157.886008 123.655659 \nL 158.505292 120.896952 \nL 158.918147 122.015384 \nL 159.53743 120.784427 \nL 159.743858 122.019379 \nL 159.950286 121.902859 \nL 160.156714 122.373935 \nL 160.363141 121.37602 \nL 160.569569 121.20074 \nL 160.775997 121.613056 \nL 160.982424 123.318085 \nL 161.188852 123.730402 \nL 161.39528 123.84892 \nL 161.601708 123.203563 \nL 162.014563 120.972694 \nL 162.220991 122.207645 \nL 162.427419 121.973606 \nL 162.633846 120.446853 \nL 162.840274 120.624131 \nL 163.046702 119.684976 \nL 163.25313 121.507524 \nL 163.459557 125.44542 \nL 163.665985 124.976342 \nL 163.872413 124.918581 \nL 164.285268 122.511433 \nL 164.491696 121.219719 \nL 164.698124 120.750641 \nL 165.110979 122.926746 \nL 165.523835 121.165954 \nL 165.93669 121.638029 \nL 166.143118 121.40399 \nL 166.349546 120.641113 \nL 166.555974 120.642112 \nL 166.762401 121.113188 \nL 166.968829 120.996668 \nL 167.175257 121.173946 \nL 167.381685 122.467657 \nL 167.588112 125.700437 \nL 167.79454 125.583917 \nL 168.207396 124.64576 \nL 168.413823 124.940557 \nL 168.620251 124.882797 \nL 169.033107 126.941382 \nL 169.445962 124.886792 \nL 169.858818 125.241348 \nL 170.065245 126.41754 \nL 170.271673 124.714509 \nL 170.478101 125.009306 \nL 170.890956 129.300759 \nL 171.097384 129.419277 \nL 171.303812 128.71516 \nL 171.716667 127.013128 \nL 172.129523 126.192491 \nL 172.335951 126.369769 \nL 172.542378 126.312008 \nL 173.161661 125.257331 \nL 173.368089 126.551042 \nL 173.574517 125.611887 \nL 173.987372 130.079619 \nL 174.1938 129.786819 \nL 174.400228 129.787818 \nL 174.606656 131.199049 \nL 174.813083 130.965009 \nL 175.019511 127.675467 \nL 175.432367 128.735139 \nL 176.05165 126.622788 \nL 176.258078 126.153709 \nL 176.670933 128.153536 \nL 177.083789 126.627782 \nL 177.290216 125.629867 \nL 177.496644 125.454587 \nL 177.703072 126.4545 \nL 177.9095 126.514259 \nL 178.115927 126.867816 \nL 178.528783 128.691363 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132.737965 \nL 189.263026 130.271058 \nL 189.469453 129.860739 \nL 189.675881 131.448249 \nL 189.882309 131.390488 \nL 190.088737 129.804976 \nL 190.501592 132.039841 \nL 190.70802 132.334639 \nL 191.533731 135.394137 \nL 191.740159 136.922887 \nL 191.946586 137.511482 \nL 192.153014 136.337288 \nL 192.359442 135.86821 \nL 192.56587 136.339286 \nL 192.772297 137.16292 \nL 192.978725 135.342369 \nL 193.185153 135.167089 \nL 193.391581 137.342196 \nL 193.598008 137.284435 \nL 193.804436 137.637992 \nL 194.010864 136.287519 \nL 194.217292 136.053479 \nL 194.423719 135.231842 \nL 194.836575 136.115235 \nL 195.043003 136.351273 \nL 195.24943 135.999714 \nL 195.662286 136.060471 \nL 196.075141 136.650066 \nL 196.281569 136.004708 \nL 196.487997 136.710823 \nL 196.694424 136.770582 \nL 196.900852 136.183984 \nL 197.10728 136.65506 \nL 197.313708 136.714819 \nL 197.726563 135.600383 \nL 197.932991 134.778747 \nL 198.345846 134.075629 \nL 198.552274 132.842675 \nL 198.758702 130.669566 \nL 198.96513 129.90669 \nL 199.171557 130.436525 \nL 199.790841 135.257814 \nL 199.997268 133.966101 \nL 200.203696 135.72989 \nL 200.410124 135.260811 \nL 200.616552 131.79499 \nL 200.822979 131.913508 \nL 201.029407 132.854662 \nL 201.235835 132.796901 \nL 201.442263 132.327823 \nL 201.64869 133.033938 \nL 201.855118 132.741138 \nL 202.061546 131.390665 \nL 202.267974 131.626703 \nL 202.474401 133.037933 \nL 202.680829 133.038932 \nL 202.887257 133.745047 \nL 203.093685 133.687286 \nL 203.300112 131.279139 \nL 203.50654 130.751301 \nL 203.712968 130.69354 \nL 204.332251 133.928318 \nL 204.538679 133.576759 \nL 204.745107 130.816054 \nL 204.951534 129.818139 \nL 205.157962 130.289215 \nL 205.36439 132.934399 \nL 205.570818 132.994157 \nL 205.777245 132.936397 \nL 205.983673 132.408559 \nL 206.190101 132.820875 \nL 206.396529 132.939393 \nL 206.602956 132.000238 \nL 207.015812 127.595261 \nL 207.428667 132.415551 \nL 207.635095 133.944301 \nL 208.047951 131.302114 \nL 208.460806 128.953726 \nL 208.667234 128.367128 \nL 209.286517 135.891361 \nL 209.492945 134.658407 \nL 209.699372 134.659406 \nL 210.112228 129.666833 \nL 210.318656 129.609072 \nL 210.525083 129.433792 \nL 210.731511 133.195409 \nL 210.937939 134.724159 \nL 211.144367 134.313841 \nL 211.350794 133.374685 \nL 211.76365 130.614979 \nL 212.176505 129.147985 \nL 212.382933 129.325263 \nL 212.589361 128.856185 \nL 212.795789 127.623231 \nL 213.002216 127.682989 \nL 213.208644 128.447864 \nL 213.415072 127.626228 \nL 213.6215 126.158235 \nL 213.827927 130.860007 \nL 214.034355 131.80116 \nL 214.447211 126.33851 \nL 214.653638 126.457028 \nL 215.066494 129.338249 \nL 215.272922 129.339248 \nL 215.479349 128.87017 \nL 216.098633 126.816578 \nL 216.30506 128.815406 \nL 216.511488 127.993769 \nL 216.717916 125.93818 \nL 216.924344 126.291737 \nL 217.130771 126.175217 \nL 217.337199 127.762726 \nL 217.750055 128.5286 \nL 217.956482 128.29456 \nL 218.16291 128.413078 \nL 218.369338 129.765549 \nL 218.575766 128.121278 \nL 218.782193 127.887238 \nL 219.195049 124.363656 \nL 219.401477 124.364655 \nL 219.607904 129.477745 \nL 219.814332 129.772542 \nL 220.02076 126.953077 \nL 220.227187 129.010664 \nL 220.433615 128.776624 \nL 220.640043 127.837469 \nL 221.052898 124.548926 \nL 221.259326 125.43132 \nL 221.465754 127.312628 \nL 221.672182 128.018742 \nL 221.878609 127.079587 \nL 222.085037 127.080586 \nL 222.291465 128.198018 \nL 222.497893 128.140257 \nL 222.70432 127.024823 \nL 222.910748 127.025822 \nL 223.323604 128.026734 \nL 223.530031 129.085407 \nL 223.736459 126.383461 \nL 223.942887 126.795778 \nL 224.149315 126.561738 \nL 224.355742 124.976226 \nL 224.56217 125.212264 \nL 224.768598 124.684426 \nL 224.975026 123.627751 \nL 225.181453 125.21526 \nL 225.594309 125.334778 \nL 225.800737 125.100738 \nL 226.007164 124.279101 \nL 226.213592 122.458551 \nL 226.42002 122.929627 \nL 226.626448 124.634656 \nL 226.832875 125.046973 \nL 227.039303 124.636654 \nL 227.245731 125.16649 \nL 227.452159 124.93245 \nL 227.658586 125.697325 \nL 227.865014 125.757083 \nL 228.27787 123.761253 \nL 228.484297 125.172483 \nL 228.897153 123.352932 \nL 229.103581 121.532381 \nL 229.310008 120.945784 \nL 229.722864 123.533206 \nL 229.929292 121.830175 \nL 230.135719 122.007453 \nL 230.342147 123.242405 \nL 230.548575 123.184644 \nL 230.755003 122.598046 \nL 230.96143 121.600131 \nL 231.167858 124.832911 \nL 231.374286 125.245228 \nL 231.787141 121.192809 \nL 231.993569 122.427761 \nL 232.199997 125.601782 \nL 232.406424 125.602781 \nL 232.81928 124.840903 \nL 233.025708 124.959421 \nL 233.232135 126.135613 \nL 233.438563 126.019093 \nL 233.644991 125.256216 \nL 234.057846 122.143952 \nL 234.470702 122.968585 \nL 234.67713 123.087103 \nL 234.883557 124.733373 \nL 235.296413 122.620023 \nL 235.502841 121.622107 \nL 235.915696 121.271547 \nL 236.122124 121.742624 \nL 236.328552 122.683777 \nL 236.534979 122.978574 \nL 236.947835 122.804293 \nL 237.154263 123.921726 \nL 237.567118 121.338298 \nL 237.773546 120.81046 \nL 238.186401 121.282535 \nL 238.392829 121.753612 \nL 238.805685 121.873129 \nL 239.012112 123.049321 \nL 239.21854 123.167839 \nL 239.424968 123.462636 \nL 239.631396 122.993558 \nL 239.837823 123.934712 \nL 240.044251 124.05323 \nL 240.457107 122.762515 \nL 240.663534 121.940879 \nL 241.07639 124.234503 \nL 241.282818 124.235502 \nL 241.489245 123.531385 \nL 241.695673 124.2375 \nL 241.902101 123.827181 \nL 242.108529 121.595313 \nL 242.314956 120.714917 \nL 242.727812 126.945439 \nL 242.93424 127.063957 \nL 243.140667 127.006197 \nL 243.553523 124.128971 \nL 243.759951 123.894931 \nL 244.172806 125.835998 \nL 244.379234 125.778237 \nL 244.792089 124.134965 \nL 244.998517 123.900925 \nL 245.204945 123.431847 \nL 245.411372 123.491605 \nL 245.824228 122.906006 \nL 246.030656 123.435842 \nL 246.443511 127.609776 \nL 247.062794 124.909828 \nL 247.269222 124.675789 \nL 247.682078 125.559181 \nL 247.888505 128.380644 \nL 248.094933 129.556836 \nL 248.301361 128.088843 \nL 248.507789 128.794958 \nL 248.714216 128.737198 \nL 248.920644 128.268119 \nL 249.127072 127.035165 \nL 249.3335 124.803297 \nL 249.539927 125.333133 \nL 249.746355 126.744364 \nL 249.952783 127.15668 \nL 250.159211 128.567911 \nL 250.365638 128.62767 \nL 250.572066 129.039986 \nL 250.778494 128.100831 \nL 251.191349 130.453215 \nL 251.397777 132.099484 \nL 251.810633 131.220087 \nL 252.01706 130.751009 \nL 252.223488 131.280845 \nL 252.429916 131.223084 \nL 252.636344 130.989044 \nL 252.842771 129.87361 \nL 253.049199 129.698329 \nL 253.255627 129.699328 \nL 253.462055 129.994126 \nL 254.081338 128.175573 \nL 254.287766 128.352851 \nL 254.494193 128.765167 \nL 254.907049 130.529955 \nL 255.113477 129.061962 \nL 255.319904 130.825751 \nL 255.526332 129.475278 \nL 255.73276 129.064959 \nL 255.939187 128.948439 \nL 256.145615 129.948352 \nL 256.352043 132.005939 \nL 256.558471 131.948178 \nL 256.764898 132.654293 \nL 256.971326 132.655292 \nL 257.177754 132.83257 \nL 257.384182 132.774809 \nL 258.003465 131.426334 \nL 258.209893 131.427333 \nL 258.41632 131.957168 \nL 258.622748 131.018013 \nL 259.035604 131.842646 \nL 259.242031 132.313722 \nL 259.448459 135.076425 \nL 259.654887 135.78254 \nL 259.861315 134.608346 \nL 260.27417 135.491738 \nL 260.480598 134.670102 \nL 260.893453 135.494735 \nL 261.099881 135.201936 \nL 261.306309 135.379214 \nL 261.512737 135.79153 \nL 261.719164 136.556405 \nL 262.13202 133.56166 \nL 262.338448 131.62359 \nL 262.544875 130.801954 \nL 262.957731 133.448136 \nL 263.164159 133.037818 \nL 263.577014 134.332528 \nL 263.98987 134.393285 \nL 264.196297 134.688083 \nL 264.402725 134.571562 \nL 264.609153 133.984965 \nL 264.815581 133.868444 \nL 265.022008 134.280761 \nL 265.434864 133.871441 \nL 265.847719 133.520881 \nL 266.054147 131.465292 \nL 266.260575 131.760089 \nL 266.467003 132.760002 \nL 266.879858 136.405099 \nL 267.292714 131.471285 \nL 267.911997 134.294746 \nL 268.118424 133.884427 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121.838601 \nL 86.462008 120.958124 \nL 86.668436 122.075476 \nL 87.081292 120.784599 \nL 87.287719 120.491718 \nL 87.494147 121.080232 \nL 87.700575 122.961459 \nL 87.907003 122.903617 \nL 88.11343 121.259265 \nL 88.319858 121.495221 \nL 88.526286 122.788851 \nL 88.939141 122.496889 \nL 89.145569 121.968969 \nL 89.351997 121.911128 \nL 89.764852 121.207847 \nL 89.97128 121.443804 \nL 90.177708 121.033404 \nL 90.384135 122.327034 \nL 90.590563 124.502059 \nL 91.003419 125.855367 \nL 91.209846 124.91613 \nL 91.416274 124.799529 \nL 91.82913 122.392218 \nL 92.035557 122.040578 \nL 92.241985 122.159015 \nL 92.654841 123.806121 \nL 92.861268 123.63076 \nL 93.067696 124.98315 \nL 93.274124 124.278952 \nL 93.480552 124.514908 \nL 93.686979 125.162182 \nL 93.893407 124.399224 \nL 94.099835 124.165103 \nL 94.306263 124.3423 \nL 94.51269 123.461823 \nL 94.719118 123.168942 \nL 94.925546 125.226448 \nL 95.131974 124.757289 \nL 95.338401 125.345803 \nL 95.544829 125.523 \nL 95.751257 124.407484 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104.834078 125.681819 \nL 105.246933 128.445358 \nL 105.453361 128.857594 \nL 105.659789 128.858511 \nL 105.866216 128.68315 \nL 106.072644 129.741742 \nL 106.279072 129.62514 \nL 106.4855 129.684818 \nL 106.898355 128.393941 \nL 107.104783 129.570052 \nL 107.311211 131.510038 \nL 107.517638 131.217158 \nL 107.724066 132.922106 \nL 107.930494 133.040543 \nL 108.136922 132.042546 \nL 108.343349 131.690906 \nL 108.549777 130.457871 \nL 108.756205 130.34127 \nL 108.962633 130.577226 \nL 109.375488 129.932705 \nL 109.581916 129.816104 \nL 110.201199 135.929862 \nL 110.407627 135.460702 \nL 110.614055 135.579139 \nL 110.820482 134.816181 \nL 111.02691 132.466713 \nL 111.233338 131.468716 \nL 111.439766 134.172578 \nL 111.646193 135.054891 \nL 112.059049 131.648666 \nL 112.265477 132.472219 \nL 112.471904 131.180425 \nL 112.678332 132.767853 \nL 113.297615 135.120993 \nL 113.504043 133.887958 \nL 113.710471 135.592906 \nL 113.916898 135.652583 \nL 114.123326 136.241098 \nL 114.329754 136.006977 \nL 114.536182 135.00898 \nL 114.742609 134.7161 \nL 115.155465 131.016077 \nL 115.56832 133.485818 \nL 115.774748 132.429062 \nL 115.981176 132.841297 \nL 116.187604 131.314464 \nL 116.394031 131.961738 \nL 116.600459 131.492578 \nL 116.806887 132.49241 \nL 117.013315 134.314877 \nL 117.219742 132.611765 \nL 117.42617 134.90431 \nL 117.632598 135.786622 \nL 117.839026 134.788626 \nL 118.045453 134.672024 \nL 118.251881 136.964569 \nL 118.458309 136.965487 \nL 118.664737 134.145941 \nL 119.077592 136.204364 \nL 119.28402 135.382647 \nL 119.490448 132.563101 \nL 119.696875 132.446499 \nL 119.903303 134.268967 \nL 120.109731 131.978258 \nL 120.522586 133.684123 \nL 120.729014 135.389071 \nL 120.935442 134.508594 \nL 121.14187 136.448581 \nL 121.348297 135.333065 \nL 121.554725 135.333983 \nL 121.761153 134.747304 \nL 121.967581 134.806981 \nL 122.174008 135.806813 \nL 122.380436 133.692383 \nL 122.586864 133.105704 \nL 122.999719 134.81157 \nL 123.206147 134.518689 \nL 123.412575 133.403174 \nL 123.619003 130.759907 \nL 123.82543 129.996949 \nL 124.031858 132.348253 \nL 124.238286 133.171806 \nL 124.444714 135.053033 \nL 124.651141 135.406509 \nL 124.857569 134.937349 \nL 125.270424 133.117635 \nL 125.476852 130.474368 \nL 125.889708 134.236822 \nL 126.096135 131.769834 \nL 126.302563 131.888271 \nL 126.508991 133.181902 \nL 126.715419 133.12406 \nL 126.921846 133.712574 \nL 127.334702 131.540302 \nL 127.54113 132.187576 \nL 127.953985 135.773751 \nL 128.160413 136.185986 \nL 128.779696 131.723006 \nL 128.986124 131.782683 \nL 129.192552 128.786858 \nL 129.605407 131.315359 \nL 129.811835 130.66992 \nL 130.018263 129.378126 \nL 130.22469 130.848035 \nL 130.637546 128.675763 \nL 130.843974 130.145672 \nL 131.050401 128.50132 \nL 131.463257 132.381293 \nL 131.669685 133.322365 \nL 132.288968 129.211942 \nL 132.495396 130.211774 \nL 132.701823 130.212692 \nL 132.908251 130.977485 \nL 133.321107 133.388467 \nL 133.527534 132.214191 \nL 133.733962 130.3348 \nL 134.146818 128.985163 \nL 134.766101 132.572256 \nL 134.972529 131.57426 \nL 135.178956 131.222619 \nL 135.385384 131.458576 \nL 135.591812 129.050348 \nL 135.79824 129.697622 \nL 136.004667 128.640865 \nL 136.211095 128.406745 \nL 136.417523 127.702546 \nL 136.623951 128.34982 \nL 136.830378 129.76097 \nL 137.243234 126.707303 \nL 137.449661 126.766981 \nL 137.862517 128.766645 \nL 138.068945 129.12012 \nL 138.4818 129.121956 \nL 138.688228 131.003183 \nL 138.894656 130.298985 \nL 139.101083 128.830911 \nL 139.307511 128.831829 \nL 139.513939 129.361583 \nL 139.720367 128.422347 \nL 139.926794 128.482024 \nL 140.133222 126.720152 \nL 140.33965 127.132387 \nL 140.752505 124.548798 \nL 141.165361 127.547376 \nL 141.371789 128.370929 \nL 141.578216 128.489366 \nL 141.784644 127.49137 \nL 141.991072 127.316008 \nL 142.403927 127.552883 \nL 142.610355 129.199071 \nL 143.229638 130.905854 \nL 143.436066 127.674991 \nL 143.642494 128.498544 \nL 143.848922 128.7345 \nL 144.055349 125.679916 \nL 144.261777 126.973546 \nL 144.468205 129.089812 \nL 144.674633 129.208249 \nL 144.88106 128.974128 \nL 145.087488 128.916286 \nL 145.293916 128.094568 \nL 145.706771 125.099661 \nL 145.913199 126.275772 \nL 146.119627 125.512814 \nL 146.326055 125.80753 \nL 146.532482 127.042401 \nL 146.73891 126.984559 \nL 146.945338 126.45664 \nL 147.151766 124.577249 \nL 147.358193 124.519407 \nL 147.771049 126.107753 \nL 147.977477 127.283864 \nL 148.390332 125.287871 \nL 148.59676 124.936231 \nL 148.803187 123.820715 \nL 149.009615 124.174191 \nL 149.216043 124.116349 \nL 149.422471 123.823469 \nL 149.835326 125.059257 \nL 150.041754 122.768548 \nL 150.248182 122.593187 \nL 150.454609 122.124027 \nL 150.661037 122.007426 \nL 151.073893 123.419493 \nL 151.28032 122.245218 \nL 151.486748 122.422414 \nL 151.693176 123.010929 \nL 152.106031 122.07261 \nL 152.312459 122.778643 \nL 152.518887 123.073359 \nL 152.725315 122.075363 \nL 152.931742 123.075195 \nL 153.13817 122.253478 \nL 153.344598 122.489434 \nL 153.551026 121.550197 \nL 153.757453 124.254059 \nL 153.963881 125.48893 \nL 154.583164 121.260988 \nL 154.99602 125.611038 \nL 155.202448 125.435677 \nL 155.408875 124.790238 \nL 155.615303 121.853173 \nL 156.028159 125.909425 \nL 156.441014 126.968935 \nL 156.85387 124.914182 \nL 157.060297 125.032619 \nL 157.266725 125.738653 \nL 157.473153 126.856004 \nL 157.886008 124.742492 \nL 158.092436 124.449611 \nL 158.505292 122.277339 \nL 158.711719 123.335931 \nL 158.918147 122.866772 \nL 159.124575 123.337767 \nL 159.53743 123.163323 \nL 159.743858 121.460211 \nL 159.950286 121.696167 \nL 160.156714 121.755845 \nL 160.363141 122.520638 \nL 160.569569 121.346363 \nL 160.775997 121.993637 \nL 160.982424 123.404786 \nL 161.188852 123.581983 \nL 161.39528 125.169412 \nL 161.601708 125.522887 \nL 161.808135 122.703341 \nL 162.014563 121.999143 \nL 162.220991 121.765022 \nL 162.427419 124.410125 \nL 162.840274 121.180179 \nL 163.046702 122.29753 \nL 163.25313 122.00465 \nL 163.665985 126.707258 \nL 163.872413 125.826781 \nL 164.078841 125.59266 \nL 164.491696 123.009071 \nL 164.698124 122.833709 \nL 164.904552 122.188271 \nL 165.110979 123.481901 \nL 165.317407 122.660184 \nL 165.523835 122.426063 \nL 165.730263 121.898144 \nL 166.349546 122.135936 \nL 166.555974 122.548171 \nL 166.762401 123.312964 \nL 166.968829 122.373728 \nL 167.175257 123.138521 \nL 167.381685 122.84564 \nL 167.79454 127.195691 \nL 168.000968 127.314128 \nL 168.413823 124.671779 \nL 168.620251 124.555177 \nL 169.033107 128.023833 \nL 169.239534 127.730952 \nL 169.445962 125.734041 \nL 169.65239 126.675114 \nL 169.858818 125.794637 \nL 170.065245 128.204701 \nL 170.478101 124.445918 \nL 170.684529 128.442492 \nL 170.890956 130.088681 \nL 171.097384 130.383397 \nL 171.303812 130.149276 \nL 171.51024 129.562597 \nL 171.716667 125.567858 \nL 171.923095 126.038853 \nL 172.335951 125.86441 \nL 172.542378 127.510598 \nL 172.748806 125.04361 \nL 172.955234 125.514605 \nL 173.161661 125.339244 \nL 173.368089 127.808067 \nL 173.574517 125.517358 \nL 173.987372 130.337486 \nL 174.1938 128.634374 \nL 174.606656 130.457759 \nL 174.813083 132.221466 \nL 175.019511 127.580371 \nL 175.225939 127.522529 \nL 175.432367 129.344996 \nL 175.638794 128.464519 \nL 176.05165 127.643719 \nL 176.258078 126.704482 \nL 176.464505 127.175477 \nL 176.670933 129.115464 \nL 177.083789 127.35451 \nL 177.290216 126.180234 \nL 177.496644 125.769834 \nL 177.703072 127.004705 \nL 177.9095 127.4757 \nL 178.115927 127.652897 \nL 178.322355 129.181566 \nL 178.735211 129.242161 \nL 178.941638 128.361684 \nL 179.560922 133.300249 \nL 179.767349 133.359926 \nL 180.180205 126.956959 \nL 180.386633 128.250589 \nL 181.212344 129.664492 \nL 181.418771 128.372697 \nL 181.625199 129.666327 \nL 181.831627 131.723833 \nL 182.244482 128.376368 \nL 182.45091 130.668913 \nL 182.657338 129.377118 \nL 182.863766 127.203928 \nL 183.070193 127.322365 \nL 183.276621 129.55615 \nL 183.483049 130.497223 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134.011766 \nL 194.423719 134.365242 \nL 194.630147 134.483679 \nL 194.836575 134.01452 \nL 195.043003 134.485515 \nL 195.24943 134.603952 \nL 195.455858 133.958513 \nL 195.662286 134.07695 \nL 196.075141 134.783902 \nL 196.281569 134.78482 \nL 196.694424 135.256732 \nL 196.900852 135.25765 \nL 197.10728 135.611126 \nL 197.726563 133.557291 \nL 198.139419 132.854011 \nL 198.345846 133.148727 \nL 198.552274 132.620808 \nL 198.758702 129.977541 \nL 198.96513 128.862025 \nL 199.171557 129.039222 \nL 199.377985 130.156573 \nL 199.584413 133.976869 \nL 199.790841 134.565383 \nL 199.997268 132.803511 \nL 200.203696 134.919777 \nL 200.410124 135.390772 \nL 200.616552 131.631071 \nL 200.822979 131.220671 \nL 201.029407 131.691666 \nL 201.235835 132.632739 \nL 201.442263 131.223425 \nL 201.64869 132.575815 \nL 201.855118 132.92929 \nL 202.061546 130.462302 \nL 202.267974 131.403375 \nL 202.474401 133.51964 \nL 202.680829 132.874202 \nL 202.887257 132.933879 \nL 203.093685 134.580067 \nL 203.300112 131.114165 \nL 203.50654 130.527486 \nL 203.712968 131.644838 \nL 203.919396 131.763275 \nL 204.538679 134.410213 \nL 204.745107 130.239195 \nL 204.951534 129.00616 \nL 205.157962 129.770953 \nL 205.570818 134.003484 \nL 205.777245 130.948899 \nL 206.190101 132.419726 \nL 206.396529 134.007155 \nL 206.602956 132.891639 \nL 207.015812 128.016423 \nL 207.428667 132.483993 \nL 207.635095 134.36522 \nL 207.841523 134.013579 \nL 208.047951 133.191862 \nL 208.460806 130.608272 \nL 208.667234 129.904074 \nL 208.873661 130.962666 \nL 209.286517 135.253957 \nL 209.699372 133.96308 \nL 209.9058 132.965083 \nL 210.112228 130.086778 \nL 210.318656 131.02785 \nL 210.525083 131.381326 \nL 210.937939 135.08502 \nL 211.144367 135.497255 \nL 211.350794 134.734297 \nL 211.970078 131.44651 \nL 212.176505 130.742312 \nL 212.589361 132.095619 \nL 213.002216 129.041953 \nL 213.208644 130.7469 \nL 213.415072 130.630299 \nL 213.6215 126.811839 \nL 213.827927 131.572289 \nL 214.034355 133.629795 \nL 214.653638 127.521543 \nL 214.860066 127.111144 \nL 215.066494 130.167564 \nL 215.272922 131.108636 \nL 215.479349 130.815756 \nL 215.685777 130.111557 \nL 215.892205 130.171235 \nL 216.098633 127.469208 \nL 216.30506 130.17307 \nL 216.511488 130.820344 \nL 216.717916 127.236923 \nL 216.924344 126.356446 \nL 217.337199 127.180917 \nL 217.543627 128.357027 \nL 217.750055 128.416705 \nL 217.956482 130.180412 \nL 218.16291 128.124742 \nL 218.369338 129.947209 \nL 218.575766 129.301771 \nL 218.782193 130.712921 \nL 219.195049 126.013983 \nL 219.401477 125.133506 \nL 219.607904 130.128995 \nL 219.814332 131.246346 \nL 220.02076 127.016569 \nL 220.433615 130.250185 \nL 220.640043 127.548159 \nL 220.846471 128.60675 \nL 221.052898 126.316041 \nL 221.259326 125.553084 \nL 221.672182 130.60825 \nL 221.878609 127.377386 \nL 222.085037 126.32063 \nL 222.291465 128.025578 \nL 222.497893 128.496573 \nL 222.70432 127.909894 \nL 222.910748 128.20461 \nL 223.117176 127.441653 \nL 223.323604 128.030167 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125.607232 \nL 234.057846 124.140994 \nL 234.264274 123.142997 \nL 234.470702 123.849031 \nL 234.67713 124.084987 \nL 234.883557 123.086991 \nL 235.089985 123.969304 \nL 235.296413 123.676423 \nL 235.502841 124.147418 \nL 235.709268 122.150507 \nL 235.915696 122.680262 \nL 236.328552 124.797445 \nL 236.534979 124.974642 \nL 236.947835 122.273533 \nL 237.154263 123.508404 \nL 237.36069 123.156764 \nL 237.567118 123.098922 \nL 237.773546 122.571003 \nL 237.979974 122.748199 \nL 238.392829 122.279958 \nL 238.805685 123.868304 \nL 239.012112 122.694029 \nL 239.21854 123.81138 \nL 239.424968 123.048422 \nL 239.631396 122.755542 \nL 240.044251 123.344974 \nL 240.250679 125.108681 \nL 240.457107 125.285878 \nL 240.869962 122.52601 \nL 241.07639 124.524756 \nL 241.282818 124.408154 \nL 241.489245 125.584265 \nL 241.695673 124.997586 \nL 241.902101 126.349976 \nL 242.108529 123.236632 \nL 242.314956 122.473674 \nL 243.140667 128.235792 \nL 243.347095 127.707873 \nL 243.759951 124.712966 \nL 243.966378 124.537605 \nL 244.379234 128.241299 \nL 244.792089 124.835074 \nL 244.998517 125.599867 \nL 245.6178 124.779985 \nL 245.824228 124.075787 \nL 246.030656 124.076705 \nL 246.443511 129.249391 \nL 246.856367 126.90084 \nL 247.062794 126.666719 \nL 247.269222 124.963606 \nL 247.47565 125.082044 \nL 247.682078 124.436605 \nL 247.888505 128.550699 \nL 248.094933 129.72681 \nL 248.301361 127.436101 \nL 248.714216 127.672975 \nL 248.920644 126.674979 \nL 249.127072 127.381012 \nL 249.3335 125.560381 \nL 249.539927 125.678818 \nL 249.952783 126.855847 \nL 250.159211 126.798005 \nL 250.572066 129.796583 \nL 250.984922 127.448032 \nL 251.397777 130.094052 \nL 251.604205 129.918691 \nL 251.810633 130.272167 \nL 252.01706 129.039132 \nL 252.223488 129.451367 \nL 252.636344 131.098473 \nL 252.842771 129.630399 \nL 253.049199 129.572557 \nL 253.255627 129.162158 \nL 253.462055 129.339354 \nL 253.87491 127.108323 \nL 254.081338 126.756683 \nL 254.494193 128.521308 \nL 254.700621 128.874784 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132.328732 \nL 265.228436 132.32965 \nL 265.434864 131.625452 \nL 265.641292 131.978928 \nL 265.847719 131.27473 \nL 266.054147 129.982935 \nL 266.260575 129.631295 \nL 266.879858 135.098696 \nL 267.292714 129.753403 \nL 267.705569 131.753067 \nL 267.911997 133.340495 \nL 268.118424 133.693971 \nL 268.324852 131.050704 \nL 268.53128 130.581545 \nL 268.737708 132.345252 \nL 268.944135 131.641054 \nL 269.150563 133.75732 \nL 269.356991 133.699478 \nL 269.563419 134.523031 \nL 269.976274 135.053703 \nL 270.182702 136.229814 \nL 270.38913 133.880345 \nL 270.595557 134.351341 \nL 270.801985 136.056288 \nL 271.008413 136.174726 \nL 271.421268 137.939351 \nL 271.834124 132.476538 \nL 272.040552 130.362108 \nL 272.246979 130.127987 \nL 272.453407 129.600068 \nL 272.866263 133.362522 \nL 273.07269 133.715997 \nL 273.279118 134.715829 \nL 273.485546 134.951786 \nL 273.898401 132.074398 \nL 274.104829 134.77826 \nL 274.311257 135.190496 \nL 274.517685 133.546143 \nL 274.724112 132.900704 \nL 274.93054 130.727515 \nL 275.136968 130.552154 \nL 275.343396 131.316947 \nL 275.756251 133.43413 \nL 275.962679 134.022645 \nL 276.169107 133.142167 \nL 276.375534 137.726339 \nL 276.581962 139.313767 \nL 276.78839 139.138406 \nL 276.994818 136.495139 \nL 277.201245 136.789855 \nL 277.407673 136.085657 \nL 277.614101 133.38363 \nL 278.026956 133.620505 \nL 278.233384 133.151345 \nL 278.439812 133.152263 \nL 278.64624 131.742949 \nL 278.852667 132.448982 \nL 279.059095 132.097342 \nL 279.265523 130.746788 \nL 279.471951 130.806465 \nL 279.678378 131.33622 \nL 279.884806 132.571091 \nL 280.091234 132.21945 \nL 280.297661 133.395561 \nL 280.504089 132.926402 \nL 280.710517 131.634607 \nL 280.916945 132.45816 \nL 281.123372 134.809464 \nL 281.3298 135.280459 \nL 281.536228 134.8113 \nL 281.742656 134.812218 \nL 281.949083 134.108019 \nL 282.155511 135.577929 \nL 282.361939 130.584275 \nL 282.568367 131.17279 \nL 282.774794 130.76239 \nL 282.981222 131.292145 \nL 283.18765 132.644535 \nL 283.394078 131.940336 \nL 283.600505 132.411331 \nL 284.013361 134.763553 \nL 284.219789 134.823231 \nL 284.426216 132.650041 \nL 284.632644 133.767393 \nL 284.839072 130.771568 \nL 285.0455 132.476516 \nL 285.251927 132.712472 \nL 285.458355 131.00936 \nL 285.871211 131.128714 \nL 286.077638 129.190563 \nL 286.284066 129.485279 \nL 286.490494 128.017206 \nL 286.696922 127.841844 \nL 287.109777 131.956856 \nL 287.316205 133.074208 \nL 287.522633 132.487529 \nL 287.72906 133.781159 \nL 287.935488 133.076961 \nL 288.141916 133.782995 \nL 288.554771 130.200491 \nL 288.761199 129.143735 \nL 288.967627 132.023876 \nL 289.174055 132.553631 \nL 289.380482 131.731913 \nL 289.58691 132.379187 \nL 289.999766 129.913117 \nL 290.206193 129.561477 \nL 290.412621 129.562394 \nL 290.619049 129.91587 \nL 290.825477 129.152912 \nL 291.238332 130.800018 \nL 291.44476 130.624657 \nL 291.651187 131.213172 \nL 291.857615 130.979051 \nL 292.064043 130.392372 \nL 292.476898 126.339791 \nL 292.683326 126.399468 \nL 292.889754 127.105502 \nL 293.096182 128.222853 \nL 293.302609 130.515398 \nL 293.509037 128.753526 \nL 293.715465 128.813203 \nL 293.921893 128.226524 \nL 294.12832 130.166511 \nL 294.334748 130.813785 \nL 294.747604 125.997328 \nL 294.954031 124.940572 \nL 295.160459 126.292962 \nL 295.366887 126.528919 \nL 295.573315 128.057587 \nL 295.779742 126.824552 \nL 295.98617 127.178028 \nL 296.192598 127.061427 \nL 296.811881 127.651776 \nL 297.018309 127.123857 \nL 297.224737 127.771131 \nL 297.431164 129.006002 \nL 297.637592 127.30289 \nL 297.84402 128.890318 \nL 298.463303 126.366406 \nL 298.669731 127.601277 \nL 298.876159 126.897079 \nL 299.082586 128.308228 \nL 299.289014 128.015348 \nL 299.908297 125.550195 \nL 300.114725 123.729564 \nL 300.321153 124.553117 \nL 300.527581 124.730313 \nL 300.940436 123.439436 \nL 301.146864 124.615547 \nL 301.353292 123.558791 \nL 301.559719 124.734902 \nL 301.766147 126.557369 \nL 301.972575 126.205729 \nL 302.179003 124.267578 \nL 302.798286 122.037464 \nL 303.004714 122.33218 \nL 303.211141 122.09806 \nL 303.417569 120.688745 \nL 303.623997 121.042221 \nL 303.830424 120.338023 \nL 304.036852 120.573979 \nL 304.449708 123.22 \nL 304.656135 122.75084 \nL 305.068991 121.166165 \nL 305.275419 123.517469 \nL 305.688274 123.930622 \nL 306.307557 122.053066 \nL 306.513985 122.230263 \nL 306.720413 120.057074 \nL 306.926841 120.704348 \nL 307.133268 122.468055 \nL 307.339696 121.29378 \nL 307.752552 122.23577 \nL 307.958979 120.12134 \nL 308.165407 122.061326 \nL 308.371835 122.121004 \nL 308.578263 122.004402 \nL 308.78469 121.535243 \nL 309.197546 122.594752 \nL 309.403974 123.829623 \nL 309.610401 124.300618 \nL 309.816829 124.360295 \nL 310.023257 124.126174 \nL 310.64254 120.19203 \nL 311.261823 122.662689 \nL 311.468251 121.488414 \nL 311.881107 123.840636 \nL 312.087534 123.959073 \nL 312.293962 122.902317 \nL 312.50039 122.961994 \nL 312.706818 124.255625 \nL 312.913245 124.66786 \nL 313.119673 121.907074 \nL 313.326101 122.965665 \nL 313.532529 122.966583 \nL 313.738956 122.262385 \nL 313.945384 122.909659 \nL 314.151812 122.793058 \nL 314.35824 122.088859 \nL 314.564667 120.973344 \nL 314.771095 122.090695 \nL 315.183951 125.324312 \nL 315.390378 125.383989 \nL 315.596806 124.85607 \nL 315.803234 123.858074 \nL 316.009661 123.800232 \nL 316.216089 123.448591 \nL 316.628945 125.154457 \nL 316.835372 126.389328 \nL 317.0418 125.743889 \nL 317.248228 127.155039 \nL 317.454656 125.510686 \nL 317.661083 126.15796 \nL 317.867511 125.74756 \nL 318.073939 124.632045 \nL 318.486794 126.749228 \nL 318.693222 126.515107 \nL 318.89965 125.399591 \nL 319.312505 127.399255 \nL 319.518933 126.753817 \nL 319.725361 126.931013 \nL 319.931789 126.873172 \nL 320.551072 124.643058 \nL 320.7575 124.585216 \nL 320.963927 124.174816 \nL 321.170355 123.11806 \nL 321.583211 125.76408 \nL 321.996066 127.411186 \nL 322.202494 128.646057 \nL 322.408922 127.883099 \nL 322.615349 129.294249 \nL 322.821777 126.004625 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132.218443 \nL 333.143164 132.749115 \nL 333.349592 131.281041 \nL 333.55602 131.340719 \nL 333.762448 131.929233 \nL 333.968875 132.04767 \nL 334.175303 130.285798 \nL 334.588159 129.641277 \nL 334.794586 132.462659 \nL 335.001014 130.935826 \nL 335.41387 134.228202 \nL 335.620297 134.934236 \nL 335.826725 132.526007 \nL 336.033153 132.761964 \nL 336.239581 131.999006 \nL 336.446008 133.175117 \nL 336.652436 133.293554 \nL 336.858864 131.707961 \nL 337.065292 131.121282 \nL 337.271719 134.412741 \nL 337.478147 135.353813 \nL 337.684575 133.88574 \nL 337.891003 133.35782 \nL 338.09743 134.005094 \nL 338.303858 135.063686 \nL 338.510286 133.595612 \nL 338.716714 133.65529 \nL 338.923141 133.18613 \nL 339.129569 133.715885 \nL 339.335997 133.893082 \nL 339.542424 135.53927 \nL 340.161708 131.663886 \nL 340.368135 132.487439 \nL 340.574563 131.371923 \nL 341.193846 136.486767 \nL 341.400274 136.487684 \nL 341.606702 134.608293 \nL 341.81313 133.786576 \nL 342.019557 134.903927 \nL 342.225985 134.963604 \nL 342.638841 133.672727 \nL 342.845268 133.262327 \nL 343.258124 129.092227 \nL 343.464552 130.444617 \nL 343.670979 130.739333 \nL 343.877407 130.211414 \nL 344.083835 130.976207 \nL 344.49669 136.207653 \nL 344.703118 137.089965 \nL 344.909546 136.268248 \nL 345.115974 134.976453 \nL 345.322401 134.918611 \nL 345.528829 136.564799 \nL 345.735257 136.330679 \nL 345.941685 132.570978 \nL 346.35454 135.804595 \nL 346.560968 132.985049 \nL 346.767396 133.867362 \nL 346.973823 135.278511 \nL 347.180251 134.809352 \nL 347.386679 134.69275 \nL 347.593107 134.987466 \nL 347.799534 135.63474 \nL 348.005962 137.339688 \nL 348.21239 137.046808 \nL 348.418818 133.580906 \nL 348.625245 133.170506 \nL 348.831673 131.467393 \nL 349.038101 133.113582 \nL 349.244529 132.056825 \nL 349.450956 132.351541 \nL 349.657384 133.116335 \nL 350.07024 133.529488 \nL 350.483095 132.35613 \nL 350.689523 132.885885 \nL 350.895951 131.770369 \nL 351.102378 132.358884 \nL 351.308806 131.184608 \nL 351.515234 132.595758 \nL 351.721661 131.8328 \nL 352.134517 135.007657 \nL 352.340945 133.892141 \nL 352.547372 131.307634 \nL 352.7538 131.132273 \nL 352.960228 130.780633 \nL 353.166656 129.900156 \nL 353.373083 130.018593 \nL 353.579511 131.664781 \nL 353.785939 132.253295 \nL 353.992367 131.372818 \nL 354.198794 132.020092 \nL 354.405222 133.842559 \nL 354.818078 132.551682 \nL 355.024505 132.5526 \nL 355.437361 134.317226 \nL 355.643789 134.9645 \nL 355.850216 134.671619 \nL 356.056644 133.673623 \nL 356.263072 134.379656 \nL 356.4695 134.028016 \nL 356.882355 134.617448 \nL 357.088783 134.148289 \nL 357.295211 135.030601 \nL 357.501638 136.735549 \nL 357.914494 136.326067 \nL 358.327349 134.095036 \nL 358.533777 131.569288 \nL 358.946633 133.333913 \nL 359.15306 133.393591 \nL 359.359488 133.747067 \nL 359.565916 134.746899 \nL 360.185199 130.930274 \nL 360.391627 131.107471 \nL 360.598055 130.932109 \nL 361.01091 131.404022 \nL 361.423766 127.821519 \nL 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129.544153 \nL 173.987372 129.192478 \nL 174.1938 130.95615 \nL 174.400228 130.075637 \nL 174.606656 130.840395 \nL 174.813083 129.959882 \nL 175.019511 127.492859 \nL 175.225939 129.080252 \nL 175.638794 126.496591 \nL 175.845222 126.497474 \nL 176.05165 124.559287 \nL 176.258078 124.618929 \nL 176.464505 126.735159 \nL 177.083789 125.327574 \nL 177.290216 123.859465 \nL 177.496644 123.684068 \nL 177.703072 124.507586 \nL 177.9095 123.862112 \nL 178.322355 125.097829 \nL 178.528783 126.508943 \nL 178.735211 126.744864 \nL 178.941638 128.684815 \nL 179.148066 133.033912 \nL 179.354494 133.504872 \nL 179.560922 132.5656 \nL 179.767349 132.507722 \nL 179.973777 131.921008 \nL 180.180205 128.807628 \nL 180.386633 130.218742 \nL 180.59306 130.630942 \nL 180.799488 130.455545 \nL 181.005916 131.572861 \nL 181.212344 130.633589 \nL 181.418771 130.340673 \nL 181.625199 133.573337 \nL 181.831627 131.987708 \nL 182.038055 131.694792 \nL 182.244482 129.169009 \nL 182.45091 131.990355 \nL 183.070193 128.937499 \nL 183.276621 130.289854 \nL 183.483049 130.702054 \nL 183.689477 131.525571 \nL 183.895904 130.762578 \nL 184.30876 132.115815 \nL 184.515187 131.822899 \nL 184.928043 132.647298 \nL 185.134471 132.589421 \nL 185.340898 132.707823 \nL 185.547326 132.356147 \nL 186.166609 138.176 \nL 186.373037 136.120294 \nL 186.579465 138.295284 \nL 186.785893 137.532291 \nL 186.99232 138.179529 \nL 187.198748 137.122738 \nL 187.405176 134.773233 \nL 187.611604 134.950395 \nL 187.818031 134.598719 \nL 188.230887 137.303428 \nL 188.85017 133.192899 \nL 189.056598 133.3113 \nL 189.263026 129.904122 \nL 189.469453 129.258648 \nL 189.675881 132.079994 \nL 190.088737 131.84672 \nL 190.295164 132.493959 \nL 190.501592 134.140111 \nL 190.70802 133.435878 \nL 190.914448 134.494434 \nL 191.120875 134.554076 \nL 191.533731 136.083591 \nL 191.740159 137.494706 \nL 191.946586 137.848146 \nL 192.359442 135.617043 \nL 192.56587 136.088003 \nL 192.772297 139.144387 \nL 192.978725 135.737209 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132.898571 \nL 202.680829 133.016972 \nL 202.887257 134.193048 \nL 203.300112 132.020705 \nL 203.50654 131.727789 \nL 203.712968 129.495804 \nL 203.919396 133.316064 \nL 204.332251 134.669301 \nL 204.951534 130.029935 \nL 205.157962 131.382289 \nL 205.36439 134.379914 \nL 205.570818 132.08917 \nL 205.777245 134.792996 \nL 205.983673 132.267213 \nL 206.190101 132.620653 \nL 206.809384 129.744077 \nL 207.015812 126.395658 \nL 207.22224 132.037468 \nL 207.428667 131.568273 \nL 207.635095 133.038147 \nL 208.460806 126.754392 \nL 208.667234 126.285197 \nL 209.286517 137.040862 \nL 209.492945 134.456319 \nL 209.699372 135.397356 \nL 210.112228 128.583 \nL 210.318656 127.820007 \nL 210.525083 128.114687 \nL 210.731511 134.461613 \nL 210.937939 134.168697 \nL 211.350794 131.996354 \nL 211.557222 129.64685 \nL 211.970078 127.768305 \nL 212.176505 127.651668 \nL 212.382933 127.123713 \nL 212.795789 124.716332 \nL 213.208644 126.363367 \nL 213.6215 124.719861 \nL 213.827927 131.478104 \nL 214.034355 130.421313 \nL 214.447211 123.724476 \nL 214.653638 125.13559 \nL 214.860066 127.956936 \nL 215.066494 128.604175 \nL 215.479349 127.313227 \nL 215.892205 124.964605 \nL 216.098633 125.670603 \nL 216.30506 127.610554 \nL 216.511488 126.671282 \nL 216.717916 124.674336 \nL 216.924344 125.909171 \nL 217.130771 125.439976 \nL 217.337199 128.790159 \nL 217.543627 127.733367 \nL 217.750055 128.733163 \nL 217.956482 126.912496 \nL 218.16291 128.206091 \nL 218.369338 130.43984 \nL 218.575766 127.326461 \nL 219.195049 123.568489 \nL 219.401477 124.098208 \nL 219.607904 129.093662 \nL 220.02076 127.097598 \nL 220.227187 129.801425 \nL 220.433615 128.098277 \nL 220.640043 127.452803 \nL 220.846471 123.634307 \nL 221.052898 123.341391 \nL 221.259326 125.810179 \nL 221.465754 126.633697 \nL 221.672182 126.575819 \nL 221.878609 127.340577 \nL 222.085037 127.458979 \nL 222.291465 128.752573 \nL 222.497893 128.342138 \nL 222.70432 126.521471 \nL 222.910748 126.346074 \nL 223.117176 127.815948 \nL 223.323604 128.345667 \nL 223.530031 130.696936 \nL 223.736459 125.820766 \nL 223.942887 126.526765 \nL 224.149315 126.116329 \nL 224.355742 124.354422 \nL 224.56217 126.529411 \nL 224.768598 123.76859 \nL 224.975026 123.886991 \nL 225.181453 125.709423 \nL 225.387881 125.357747 \nL 225.594309 126.063745 \nL 226.007164 123.597604 \nL 226.213592 121.541898 \nL 226.42002 122.953013 \nL 226.626448 125.48056 \nL 226.832875 126.010279 \nL 227.039303 125.364805 \nL 227.245731 126.482121 \nL 227.452159 125.542849 \nL 227.658586 126.836444 \nL 227.865014 126.954845 \nL 228.27787 124.194906 \nL 228.484297 124.665865 \nL 228.690725 123.080237 \nL 228.897153 123.492437 \nL 229.103581 120.672855 \nL 229.310008 119.557304 \nL 229.722864 122.673331 \nL 229.929292 120.500106 \nL 230.342147 124.02745 \nL 230.755003 121.032472 \nL 230.96143 120.269478 \nL 231.167858 125.441211 \nL 231.580714 122.211194 \nL 231.787141 119.567891 \nL 231.993569 120.685207 \nL 232.199997 125.504382 \nL 232.406424 124.682629 \nL 232.612852 124.448472 \nL 232.81928 123.861758 \nL 233.025708 125.096593 \nL 233.232135 127.447862 \nL 233.438563 126.097272 \nL 233.644991 125.628077 \nL 233.851419 122.162139 \nL 234.057846 120.63527 \nL 234.264274 121.693826 \nL 234.470702 122.047267 \nL 234.67713 122.635746 \nL 234.883557 126.103448 \nL 235.089985 122.63751 \nL 235.296413 121.580719 \nL 235.502841 119.818811 \nL 235.709268 120.877367 \nL 235.915696 119.938095 \nL 236.122124 120.174016 \nL 236.328552 121.408851 \nL 236.534979 121.703532 \nL 236.741407 122.644568 \nL 236.947835 122.70421 \nL 237.154263 124.115324 \nL 237.567118 119.827634 \nL 237.773546 119.06464 \nL 237.979974 119.359321 \nL 238.392829 121.123875 \nL 238.599257 120.302122 \nL 238.805685 120.303005 \nL 239.012112 123.24187 \nL 239.21854 122.302598 \nL 239.424968 123.889991 \nL 239.631396 122.950718 \nL 239.837823 124.185554 \nL 240.044251 124.362715 \nL 240.250679 122.013211 \nL 240.663534 120.310945 \nL 240.869962 123.426089 \nL 241.07639 123.897049 \nL 241.282818 123.486614 \nL 241.489245 121.724706 \nL 241.695673 123.664657 \nL 242.314956 119.319089 \nL 242.521384 125.254697 \nL 242.727812 127.605966 \nL 242.93424 126.431655 \nL 243.140667 125.96246 \nL 243.553523 122.438645 \nL 243.759951 122.615806 \nL 243.966378 124.908315 \nL 244.585661 122.854374 \nL 244.792089 123.031535 \nL 245.204945 121.035471 \nL 245.411372 121.388911 \nL 245.6178 121.037236 \nL 245.824228 121.096878 \nL 246.030656 122.037914 \nL 246.237083 125.329338 \nL 246.443511 125.565259 \nL 247.062794 122.747442 \nL 247.47565 124.453236 \nL 247.888505 128.626937 \nL 248.094933 128.862858 \nL 248.301361 128.158624 \nL 248.507789 129.452219 \nL 248.714216 129.7469 \nL 248.920644 129.512743 \nL 249.3335 124.049859 \nL 249.539927 125.813531 \nL 249.952783 126.344133 \nL 250.159211 129.929354 \nL 250.365638 128.049928 \nL 250.572066 127.404454 \nL 250.778494 127.229057 \nL 251.191349 132.049114 \nL 251.397777 134.341623 \nL 251.810633 132.345559 \nL 252.223488 133.287478 \nL 252.636344 130.938856 \nL 252.842771 129.294468 \nL 253.049199 129.647908 \nL 253.255627 129.590031 \nL 253.462055 130.472308 \nL 253.668482 130.061872 \nL 253.87491 130.239034 \nL 254.287766 128.301729 \nL 254.494193 128.302612 \nL 254.700621 130.360082 \nL 254.907049 131.242359 \nL 255.113477 130.303087 \nL 255.319904 131.655441 \nL 255.73276 129.953176 \nL 255.939187 130.130337 \nL 256.352043 132.07117 \nL 256.558471 131.425696 \nL 256.764898 133.365647 \nL 256.971326 133.24901 \nL 257.177754 134.366326 \nL 257.384182 134.425968 \nL 257.590609 134.015533 \nL 257.797037 132.841222 \nL 258.003465 133.077143 \nL 258.209893 133.078025 \nL 258.41632 133.784023 \nL 258.622748 131.669558 \nL 258.829176 131.435401 \nL 259.035604 133.610391 \nL 259.242031 133.611273 \nL 259.654887 135.728386 \nL 260.067742 136.082708 \nL 260.27417 137.200024 \nL 260.480598 135.673155 \nL 260.687026 137.319308 \nL 260.893453 137.43771 \nL 261.099881 136.145879 \nL 261.306309 136.969397 \nL 261.512737 137.146558 \nL 261.719164 138.087595 \nL 262.13202 135.210136 \nL 262.338448 132.978151 \nL 262.544875 132.508956 \nL 262.957731 135.507463 \nL 263.164159 134.568191 \nL 263.370586 135.15667 \nL 263.577014 136.215226 \nL 263.783442 136.451147 \nL 263.98987 136.040712 \nL 264.196297 136.511671 \nL 264.402725 136.453794 \nL 264.815581 135.809202 \nL 265.022008 136.045123 \nL 265.228436 135.869726 \nL 265.434864 136.046888 \nL 265.641292 135.930251 \nL 265.847719 135.049738 \nL 266.054147 132.758994 \nL 266.260575 133.582511 \nL 266.467003 133.877192 \nL 266.879858 137.933373 \nL 267.086286 133.997358 \nL 267.292714 132.881807 \nL 267.499141 133.940363 \nL 267.705569 134.411322 \nL 267.911997 135.528638 \nL 268.118424 135.294482 \nL 268.53128 134.238572 \nL 268.944135 135.180491 \nL 269.356991 136.710007 \nL 269.563419 136.005774 \nL 269.769846 138.533321 \nL 269.976274 136.947693 \nL 270.182702 139.122682 \nL 270.38913 136.42062 \nL 270.801985 137.773857 \nL 271.214841 139.71469 \nL 271.421268 139.833092 \nL 271.834124 133.371294 \nL 272.040552 132.432022 \nL 272.453407 132.198747 \nL 272.659835 134.902574 \nL 273.279118 136.961809 \nL 273.485546 136.492614 \nL 273.898401 132.439962 \nL 274.104829 137.670454 \nL 274.311257 136.731182 \nL 274.517685 136.790824 \nL 274.724112 134.911397 \nL 274.93054 130.681584 \nL 275.343396 135.325361 \nL 275.549823 136.677716 \nL 275.756251 135.914722 \nL 275.962679 137.619635 \nL 276.169107 137.2092 \nL 276.375534 137.856438 \nL 276.581962 140.912823 \nL 276.78839 139.797271 \nL 276.994818 137.800325 \nL 277.201245 136.919813 \nL 277.407673 138.213407 \nL 277.820529 131.986648 \nL 278.026956 134.631715 \nL 278.233384 135.220194 \nL 278.439812 134.163402 \nL 278.64624 132.048937 \nL 278.852667 131.285943 \nL 279.059095 129.406517 \nL 279.265523 128.878562 \nL 279.471951 128.879444 \nL 279.678378 132.464666 \nL 279.884806 132.700587 \nL 280.091234 132.231392 \nL 280.504089 129.706491 \nL 280.916945 131.647324 \nL 281.123372 134.703709 \nL 281.3298 133.529398 \nL 281.536228 133.824078 \nL 281.742656 134.706356 \nL 281.949083 134.35468 \nL 282.155511 133.532927 \nL 282.361939 131.124663 \nL 282.568367 130.30291 \nL 282.774794 132.595419 \nL 282.981222 132.361263 \nL 283.18765 132.538424 \nL 283.600505 134.890575 \nL 283.806933 134.656419 \nL 284.013361 135.479936 \nL 284.219789 135.480818 \nL 284.426216 135.011623 \nL 284.632644 133.249716 \nL 284.839072 134.014474 \nL 285.458355 127.847356 \nL 286.077638 128.555119 \nL 286.284066 125.794297 \nL 286.490494 124.619986 \nL 287.109777 132.848986 \nL 287.316205 130.617001 \nL 287.72906 134.96698 \nL 287.935488 135.144141 \nL 288.141916 130.209212 \nL 288.348344 128.447305 \nL 288.554771 129.329582 \nL 288.761199 126.686279 \nL 288.967627 135.55987 \nL 289.174055 133.739203 \nL 289.380482 134.68024 \nL 289.58691 134.034766 \nL 289.793338 132.09658 \nL 290.206193 132.568421 \nL 290.412621 129.74884 \nL 290.619049 128.45701 \nL 290.825477 128.281613 \nL 291.031904 131.102959 \nL 291.44476 128.166741 \nL 291.651187 131.223125 \nL 292.064043 129.168302 \nL 292.683326 124.058858 \nL 293.096182 130.230387 \nL 293.302609 126.999488 \nL 293.509037 126.118975 \nL 293.715465 130.056755 \nL 293.921893 130.351435 \nL 294.12832 129.470923 \nL 294.541176 123.244163 \nL 294.747604 122.128612 \nL 294.954031 124.186082 \nL 295.160459 129.357815 \nL 295.366887 129.711255 \nL 295.573315 126.186558 \nL 295.779742 127.127594 \nL 295.98617 130.360258 \nL 296.192598 128.304552 \nL 296.399026 128.011636 \nL 296.605453 128.600115 \nL 296.811881 126.544409 \nL 297.224737 130.541831 \nL 297.431164 128.779923 \nL 297.637592 128.898325 \nL 297.84402 126.196263 \nL 298.050448 125.844587 \nL 298.256875 127.37322 \nL 298.463303 127.609141 \nL 298.669731 128.021341 \nL 298.876159 128.022223 \nL 299.082586 127.553028 \nL 299.495442 125.263166 \nL 299.70187 122.972422 \nL 299.908297 122.444467 \nL 300.114725 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109.581916 216.971551 \nL 109.788344 28.373124 \nL 109.994771 235.814808 \nL 110.407627 177.095314 \nL 110.614055 159.487499 \nL 111.02691 197.133848 \nL 111.233338 35.564866 \nL 111.439766 46.749285 \nL 111.646193 181.32899 \nL 111.852621 166.071561 \nL 112.059049 42.108761 \nL 112.265477 110.29005 \nL 112.471904 68.003178 \nL 112.678332 76.249614 \nL 112.88476 58.641799 \nL 113.091187 218.488158 \nL 113.297615 213.807468 \nL 113.504043 26.384235 \nL 113.710471 74.58724 \nL 113.916898 235.021196 \nL 114.123326 42.309593 \nL 114.329754 189.816424 \nL 114.536182 185.135734 \nL 114.742609 176.341868 \nL 114.949037 99.386797 \nL 115.361893 64.171167 \nL 115.56832 57.140091 \nL 115.981176 67.756996 \nL 116.187604 64.2515 \nL 116.394031 54.28244 \nL 116.600459 73.105615 \nL 116.806887 46.683851 \nL 117.013315 92.536469 \nL 117.219742 62.589126 \nL 117.42617 49.094487 \nL 117.632598 56.165729 \nL 117.839026 88.503626 \nL 118.045453 45.04156 \nL 118.251881 67.390314 \nL 118.458309 142.035166 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127.54113 71.819638 \nL 127.747557 41.284698 \nL 127.953985 228.748097 \nL 128.160413 81.281433 \nL 128.366841 107.155767 \nL 128.573268 51.354173 \nL 128.779696 57.250222 \nL 128.986124 80.186573 \nL 129.398979 57.310472 \nL 129.605407 108.451459 \nL 129.811835 119.635878 \nL 130.018263 75.586216 \nL 130.22469 97.93497 \nL 130.431118 133.210849 \nL 130.637546 82.110028 \nL 130.843974 88.006077 \nL 131.050401 88.613757 \nL 131.256829 65.129976 \nL 131.463257 55.748514 \nL 131.669685 122.75461 \nL 132.08254 85.77619 \nL 132.288968 81.683097 \nL 132.495396 128.123312 \nL 132.701823 61.744979 \nL 133.114679 42.394457 \nL 133.321107 59.454842 \nL 133.527534 48.898187 \nL 133.733962 46.567883 \nL 133.94039 75.967797 \nL 134.353245 50.741309 \nL 134.559673 50.761392 \nL 134.766101 41.967526 \nL 134.972529 40.22482 \nL 135.178956 73.737909 \nL 135.591812 215.976454 \nL 136.004667 173.122068 \nL 136.211095 169.028975 \nL 136.417523 173.749831 \nL 136.623951 189.047426 \nL 136.830378 193.180685 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64.83326 \nL 146.532482 55.451797 \nL 146.73891 57.822267 \nL 146.945338 56.07956 \nL 147.151766 168.918191 \nL 147.358193 167.763081 \nL 147.564621 49.088651 \nL 147.771049 40.882381 \nL 147.977477 46.778431 \nL 148.183904 30.345809 \nL 148.390332 225.447964 \nL 148.59676 228.40603 \nL 148.803187 229.601307 \nL 149.422471 148.573225 \nL 149.628898 52.227466 \nL 149.835326 215.599404 \nL 150.041754 182.714078 \nL 150.248182 179.208581 \nL 150.454609 173.352699 \nL 150.661037 175.135572 \nL 150.867465 40.008436 \nL 151.073893 169.887369 \nL 151.28032 46.512165 \nL 151.486748 32.42993 \nL 151.693176 222.243716 \nL 151.899604 191.708776 \nL 152.106031 216.407916 \nL 152.312459 49.550564 \nL 152.518887 219.386066 \nL 152.725315 219.406149 \nL 152.931742 233.52855 \nL 153.13817 210.632366 \nL 153.344598 36.136258 \nL 153.551026 66.123768 \nL 153.757453 44.402777 \nL 153.963881 52.061616 \nL 154.170309 116.129729 \nL 154.376737 138.478483 \nL 154.583164 53.884656 \nL 154.789592 46.265983 \nL 154.99602 47.461259 \nL 155.408875 78.644046 \nL 155.821731 57.530734 \nL 156.234586 50.519741 \nL 156.441014 51.127421 \nL 156.647442 41.158362 \nL 156.85387 54.105571 \nL 157.060297 48.837284 \nL 157.266725 38.280629 \nL 157.679581 57.123886 \nL 157.886008 241.061706 \nL 158.092436 182.322129 \nL 158.298864 161.776331 \nL 158.505292 41.926708 \nL 158.711719 50.173143 \nL 158.918147 37.853698 \nL 159.124575 230.605467 \nL 159.331003 205.358896 \nL 159.53743 148.382109 \nL 159.743858 186.595971 \nL 159.950286 187.791247 \nL 160.156714 223.654723 \nL 160.363141 56.797371 \nL 160.569569 57.992648 \nL 160.775997 57.425134 \nL 160.982424 38.642126 \nL 161.188852 48.651352 \nL 161.39528 52.197015 \nL 161.601708 68.669803 \nL 161.808135 143.314654 \nL 162.014563 155.08667 \nL 162.220991 62.854086 \nL 162.427419 59.34859 \nL 162.633846 162.198078 \nL 162.840274 47.049228 \nL 163.046702 165.763824 \nL 163.25313 50.614974 \nL 163.459557 51.222653 \nL 163.665985 37.140418 \nL 163.872413 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130.272279 \nL 175.019511 127.688295 \nL 175.225939 127.453977 \nL 175.432367 129.335007 \nL 175.638794 128.748131 \nL 175.845222 130.041564 \nL 176.05165 130.336083 \nL 176.258078 128.926572 \nL 176.464505 129.808687 \nL 176.670933 131.572197 \nL 176.877361 131.044081 \nL 177.290216 127.049865 \nL 177.496644 128.460818 \nL 177.703072 131.63456 \nL 178.115927 129.344374 \nL 178.528783 131.872481 \nL 178.735211 131.814442 \nL 178.941638 129.347256 \nL 179.148066 131.169526 \nL 179.354494 131.170247 \nL 179.560922 130.994689 \nL 179.767349 129.1151 \nL 179.973777 126.060318 \nL 180.180205 124.944605 \nL 180.386633 128.177107 \nL 181.005916 130.823453 \nL 181.212344 128.473788 \nL 181.418771 129.297143 \nL 181.625199 127.358795 \nL 181.831627 128.887267 \nL 182.038055 125.421167 \nL 182.244482 125.06933 \nL 182.45091 130.182141 \nL 182.863766 126.187925 \nL 183.070193 124.367096 \nL 183.483049 128.070396 \nL 183.689477 127.189722 \nL 183.895904 127.366721 \nL 184.102332 125.545892 \nL 184.30876 125.017776 \nL 184.515187 126.017411 \nL 184.721615 130.366346 \nL 184.928043 131.601019 \nL 185.134471 127.018487 \nL 185.340898 130.779825 \nL 185.547326 128.900237 \nL 185.753754 124.670262 \nL 185.960182 129.606794 \nL 186.166609 127.433407 \nL 186.373037 127.492887 \nL 186.579465 130.725389 \nL 186.785893 129.139599 \nL 186.99232 130.66807 \nL 187.198748 130.90383 \nL 187.405176 129.611838 \nL 187.611604 130.493953 \nL 187.818031 124.618708 \nL 188.024459 130.612913 \nL 188.230887 129.967278 \nL 188.437315 127.97017 \nL 188.643742 129.322363 \nL 189.056598 128.501168 \nL 189.263026 124.85879 \nL 189.469453 128.091292 \nL 189.675881 128.973407 \nL 189.882309 126.153664 \nL 190.088737 125.33175 \nL 190.295164 126.977741 \nL 190.501592 117.518156 \nL 190.70802 120.809417 \nL 190.914448 127.626259 \nL 191.120875 123.455043 \nL 191.327303 125.453592 \nL 191.533731 120.988579 \nL 191.740159 128.510536 \nL 191.946586 131.096681 \nL 192.153014 128.218178 \nL 192.359442 127.925101 \nL 192.56587 130.863804 \nL 192.772297 131.099563 \nL 193.185153 120.406746 \nL 193.391581 131.042965 \nL 193.804436 131.514484 \nL 194.010864 130.046213 \nL 194.217292 130.399491 \nL 194.423719 127.756027 \nL 194.630147 131.282327 \nL 194.836575 130.636692 \nL 195.043003 129.168421 \nL 195.24943 128.816583 \nL 195.455858 131.16769 \nL 195.662286 130.404535 \nL 196.075141 132.051247 \nL 196.487997 131.112533 \nL 196.694424 128.880387 \nL 196.900852 130.11506 \nL 197.10728 130.2333 \nL 197.313708 131.585493 \nL 197.520135 131.057376 \nL 197.726563 130.881818 \nL 197.932991 128.238354 \nL 198.139419 127.122641 \nL 198.345846 126.712044 \nL 198.552274 127.182842 \nL 198.758702 128.182476 \nL 199.584413 117.4911 \nL 199.790841 122.956469 \nL 199.997268 124.778739 \nL 200.203696 130.596666 \nL 200.410124 128.423279 \nL 200.616552 123.018111 \nL 200.822979 122.842553 \nL 201.029407 123.783428 \nL 201.235835 126.95717 \nL 201.442263 126.664092 \nL 201.64869 129.955354 \nL 201.855118 127.664448 \nL 202.061546 128.546563 \nL 202.267974 126.431936 \nL 202.474401 129.546918 \nL 202.680829 125.84578 \nL 202.887257 124.495029 \nL 203.093685 128.608926 \nL 203.300112 125.965461 \nL 203.50654 121.676727 \nL 203.712968 127.377134 \nL 203.919396 126.907778 \nL 204.332251 122.854802 \nL 204.745107 126.381823 \nL 204.951534 125.794947 \nL 205.157962 127.558457 \nL 205.36439 124.268637 \nL 205.570818 129.087649 \nL 205.983673 125.622271 \nL 206.190101 127.209502 \nL 206.396529 130.970841 \nL 206.809384 127.211664 \nL 207.015812 128.328818 \nL 207.22224 126.449229 \nL 207.428667 126.626229 \nL 207.635095 128.389739 \nL 207.841523 126.216352 \nL 208.047951 130.271489 \nL 208.254378 130.977326 \nL 208.460806 130.684248 \nL 208.667234 130.861247 \nL 209.286517 122.930855 \nL 209.492945 123.87173 \nL 209.699372 125.987798 \nL 209.9058 126.458596 \nL 210.318656 130.925772 \nL 210.731511 123.170937 \nL 210.937939 129.69398 \nL 211.144367 130.869894 \nL 211.76365 128.874227 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130.432962 \nL 220.846471 131.080039 \nL 221.052898 131.139519 \nL 221.259326 129.847527 \nL 221.465754 127.204063 \nL 221.672182 130.084007 \nL 221.878609 130.084727 \nL 222.085037 122.85801 \nL 222.497893 127.266425 \nL 222.70432 127.090867 \nL 222.910748 129.089416 \nL 223.117176 127.562385 \nL 223.323604 128.268222 \nL 223.530031 124.508324 \nL 223.736459 127.270749 \nL 223.942887 128.035345 \nL 224.149315 129.563817 \nL 224.355742 127.155391 \nL 224.56217 127.097352 \nL 224.768598 130.329854 \nL 225.181453 128.333466 \nL 225.387881 130.390775 \nL 225.594309 130.626534 \nL 225.800737 131.273611 \nL 226.007164 129.687821 \nL 226.213592 130.746215 \nL 226.832875 129.455664 \nL 227.039303 129.985222 \nL 227.658586 124.757774 \nL 227.865014 124.699735 \nL 228.071442 121.938751 \nL 228.27787 123.232184 \nL 228.484297 128.873832 \nL 228.690725 130.578583 \nL 228.897153 128.581475 \nL 229.103581 129.346071 \nL 229.310008 130.933302 \nL 229.516436 128.701156 \nL 229.722864 128.760636 \nL 229.929292 130.171589 \nL 230.135719 130.348588 \nL 230.342147 126.177373 \nL 230.548575 129.292355 \nL 230.755003 129.469355 \nL 230.96143 128.236122 \nL 231.167858 123.947388 \nL 231.374286 130.352911 \nL 231.580714 130.177353 \nL 231.787141 128.180245 \nL 231.993569 127.593369 \nL 232.199997 128.064167 \nL 232.406424 130.767832 \nL 232.612852 130.474754 \nL 232.81928 131.356869 \nL 233.025708 128.419607 \nL 233.438563 130.183838 \nL 233.644991 130.419597 \nL 233.851419 130.949155 \nL 234.264274 130.18672 \nL 234.470702 130.833797 \nL 234.67713 130.4232 \nL 234.883557 128.71989 \nL 235.089985 131.129757 \nL 235.296413 129.426447 \nL 235.502841 129.485927 \nL 235.915696 130.545042 \nL 236.122124 129.781887 \nL 236.328552 130.135166 \nL 236.534979 129.959607 \nL 236.741407 128.961414 \nL 237.154263 128.375258 \nL 237.36069 129.374893 \nL 237.567118 129.199335 \nL 237.773546 130.375248 \nL 237.979974 130.846046 \nL 238.392829 130.906247 \nL 238.599257 131.377045 \nL 238.805685 130.55513 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127.825851 \nL 248.301361 125.828743 \nL 248.507789 127.474734 \nL 248.714216 123.891115 \nL 249.127072 129.239685 \nL 249.3335 124.422114 \nL 249.539927 125.891826 \nL 249.746355 129.594405 \nL 249.952783 130.300242 \nL 250.159211 129.772125 \nL 250.365638 124.366957 \nL 250.572066 131.418837 \nL 250.778494 132.242193 \nL 250.984922 130.480123 \nL 251.397777 124.958156 \nL 251.810633 130.306726 \nL 252.01706 129.83737 \nL 252.223488 128.016541 \nL 252.429916 127.370905 \nL 252.636344 131.132244 \nL 253.049199 127.608105 \nL 253.255627 130.664328 \nL 253.462055 131.663963 \nL 253.87491 131.489125 \nL 254.081338 127.141631 \nL 254.494193 132.255162 \nL 254.907049 129.37738 \nL 255.113477 125.382444 \nL 255.319904 131.200371 \nL 255.526332 131.142332 \nL 255.73276 131.965687 \nL 255.939187 131.496331 \nL 256.145615 130.674416 \nL 256.558471 132.086089 \nL 256.764898 131.793011 \nL 256.971326 132.08753 \nL 257.384182 131.325096 \nL 257.590609 130.561941 \nL 257.797037 131.914133 \nL 258.003465 131.444777 \nL 258.209893 129.623948 \nL 258.41632 129.683428 \nL 258.829176 131.682697 \nL 259.035604 129.803109 \nL 259.242031 126.454529 \nL 259.448459 130.215868 \nL 259.861315 131.274982 \nL 260.067742 131.040664 \nL 260.27417 130.512548 \nL 260.480598 131.805981 \nL 260.687026 131.806702 \nL 261.099881 130.280392 \nL 261.306309 131.397546 \nL 261.719164 129.401158 \nL 261.925592 126.346377 \nL 262.338448 125.466423 \nL 262.544875 123.821873 \nL 262.751303 124.645229 \nL 262.957731 126.585018 \nL 263.164159 125.939382 \nL 263.370586 130.053279 \nL 263.577014 130.935394 \nL 263.783442 129.819681 \nL 263.98987 129.409084 \nL 264.196297 131.525153 \nL 264.402725 129.704324 \nL 264.609153 131.585353 \nL 264.815581 132.114911 \nL 265.022008 131.704314 \nL 265.228436 130.882399 \nL 265.434864 129.472888 \nL 265.847719 131.00208 \nL 266.054147 131.237839 \nL 266.260575 130.533444 \nL 266.67343 126.656747 \nL 266.879858 129.419172 \nL 267.086286 125.306716 \nL 267.292714 125.483716 \nL 267.499141 130.890325 \nL 267.705569 129.833372 \nL 267.911997 130.18665 \nL 268.324852 127.485147 \nL 268.53128 129.659975 \nL 268.737708 127.427829 \nL 268.944135 129.661416 \nL 269.150563 129.309579 \nL 269.356991 131.484407 \nL 269.563419 131.250089 \nL 269.976274 130.311375 \nL 270.182702 131.017212 \nL 270.38913 124.49561 \nL 270.595557 123.203618 \nL 270.801985 125.731004 \nL 271.008413 125.672965 \nL 271.214841 126.966398 \nL 271.421268 129.670063 \nL 271.627696 129.788303 \nL 271.834124 129.025148 \nL 272.040552 124.442615 \nL 272.246979 125.26597 \nL 272.453407 127.969635 \nL 272.659835 128.910511 \nL 272.866263 123.8579 \nL 273.07269 125.856449 \nL 273.279118 126.562286 \nL 273.485546 129.794788 \nL 273.691974 130.500624 \nL 273.898401 126.388168 \nL 274.311257 130.914103 \nL 274.517685 130.562266 \nL 274.724112 129.093995 \nL 274.93054 125.216578 \nL 275.136968 130.388149 \nL 275.549823 126.100135 \nL 275.962679 129.274597 \nL 276.169107 129.275318 \nL 276.375534 118.170463 \nL 276.78839 128.219806 \nL 276.994818 126.516496 \nL 277.201245 127.516131 \nL 277.407673 130.807392 \nL 277.820529 127.92961 \nL 278.026956 130.163198 \nL 278.233384 130.692755 \nL 278.439812 128.519368 \nL 278.64624 129.283964 \nL 278.852667 131.047475 \nL 279.059095 131.577032 \nL 279.471951 130.755838 \nL 279.678378 123.64664 \nL 279.884806 128.81821 \nL 280.091234 130.052884 \nL 280.710517 131.524037 \nL 280.916945 126.295148 \nL 281.3298 129.939688 \nL 281.536228 128.177619 \nL 281.742656 131.057562 \nL 282.568367 125.595796 \nL 282.774794 127.829384 \nL 283.18765 120.662146 \nL 283.394078 122.014339 \nL 283.600505 128.83118 \nL 283.806933 130.535931 \nL 284.219789 126.835514 \nL 284.426216 127.306311 \nL 284.632644 125.779281 \nL 284.839072 127.71907 \nL 285.0455 131.656688 \nL 285.251927 131.42237 \nL 285.458355 127.779991 \nL 285.871211 131.013214 \nL 286.077638 131.248973 \nL 286.284066 130.897136 \nL 286.490494 129.722663 \nL 286.696922 124.435014 \nL 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129.016484 \nL 90.177708 131.661253 \nL 90.384135 132.484472 \nL 90.590563 131.721181 \nL 91.003419 127.667932 \nL 91.209846 127.668516 \nL 91.416274 128.609255 \nL 91.622702 127.904723 \nL 91.82913 128.140345 \nL 92.035557 128.02341 \nL 92.448413 131.315119 \nL 92.654841 130.316789 \nL 93.067696 131.375631 \nL 93.480552 126.02967 \nL 93.893407 124.855644 \nL 94.099835 125.150027 \nL 94.306263 128.029834 \nL 94.51269 129.029332 \nL 94.925546 123.91841 \nL 95.131974 124.447831 \nL 95.544829 125.91799 \nL 95.751257 126.271132 \nL 95.957685 128.504583 \nL 96.164112 127.036176 \nL 96.37054 127.03676 \nL 96.576968 127.213623 \nL 96.783396 119.222893 \nL 96.989823 116.285494 \nL 97.196251 119.694138 \nL 97.402679 125.394409 \nL 97.609107 125.159954 \nL 97.815534 124.514182 \nL 98.021962 130.273213 \nL 98.434818 126.219964 \nL 98.641245 121.931093 \nL 98.847673 121.34408 \nL 99.260529 129.160283 \nL 99.673384 124.284399 \nL 99.879812 123.286069 \nL 100.08624 123.697971 \nL 100.292667 121.994525 \nL 100.499095 121.466272 \nL 100.911951 124.287903 \nL 101.324806 125.464264 \nL 101.531234 126.9926 \nL 101.737661 126.405587 \nL 101.944089 124.643381 \nL 102.150517 124.467686 \nL 102.356945 123.586875 \nL 102.563372 126.290404 \nL 102.7698 132.930829 \nL 102.976228 129.699632 \nL 103.182656 130.816649 \nL 103.389083 134.166534 \nL 103.595511 133.7558 \nL 103.801939 133.638865 \nL 104.008367 132.111698 \nL 104.214794 124.826084 \nL 104.62765 125.062291 \nL 104.834078 124.06396 \nL 105.246933 126.121717 \nL 105.453361 125.887262 \nL 105.659789 126.475442 \nL 105.866216 125.300833 \nL 106.072644 125.595216 \nL 106.279072 127.358589 \nL 106.4855 126.771577 \nL 106.691927 123.599139 \nL 106.898355 122.894607 \nL 107.104783 121.191161 \nL 107.311211 120.780427 \nL 107.517638 119.488299 \nL 107.724066 119.077565 \nL 108.343349 129.127219 \nL 108.549777 128.128889 \nL 108.962633 122.489129 \nL 109.375488 130.540371 \nL 109.581916 136.886998 \nL 109.788344 131.716732 \nL 110.201199 118.438217 \nL 111.02691 130.251244 \nL 111.233338 129.840511 \nL 111.439766 121.791021 \nL 111.646193 121.850365 \nL 112.265477 134.367925 \nL 113.091187 124.909955 \nL 113.297615 124.73426 \nL 113.504043 125.49872 \nL 113.710471 125.734342 \nL 113.916898 124.089656 \nL 114.123326 120.56466 \nL 114.329754 120.800283 \nL 114.742609 124.268271 \nL 114.949037 129.322186 \nL 115.155465 126.502306 \nL 115.361893 129.264594 \nL 115.56832 122.03774 \nL 115.774748 122.155843 \nL 115.981176 122.861543 \nL 116.187604 124.448638 \nL 116.394031 122.627672 \nL 116.600459 124.332286 \nL 116.806887 122.74636 \nL 117.013315 123.217021 \nL 117.219742 129.387369 \nL 117.42617 124.275863 \nL 117.632598 122.04358 \nL 117.839026 127.80261 \nL 118.045453 127.098078 \nL 118.251881 121.398975 \nL 118.664737 135.502462 \nL 119.077592 127.042239 \nL 119.28402 129.15817 \nL 119.696875 139.20724 \nL 119.903303 130.981472 \nL 120.109731 130.27694 \nL 120.316159 131.922794 \nL 120.522586 129.514232 \nL 120.729014 125.40164 \nL 120.935442 127.693851 \nL 121.14187 125.520327 \nL 121.348297 128.811452 \nL 121.554725 135.863196 \nL 121.761153 135.922539 \nL 121.967581 131.986226 \nL 122.174008 132.163089 \nL 122.586864 139.332935 \nL 122.793292 134.750266 \nL 122.999719 135.397206 \nL 123.412575 134.928297 \nL 123.619003 136.691671 \nL 123.82543 134.576907 \nL 124.031858 123.295636 \nL 124.238286 120.945834 \nL 124.444714 121.534014 \nL 124.857569 124.943243 \nL 125.063997 125.883981 \nL 125.476852 134.111502 \nL 125.889708 118.54136 \nL 126.096135 118.600703 \nL 126.302563 118.483768 \nL 126.508991 119.600785 \nL 126.921846 123.421331 \nL 127.128274 125.948581 \nL 127.334702 125.00901 \nL 127.54113 122.894246 \nL 127.747557 123.306148 \nL 127.953985 114.316504 \nL 128.160413 115.022204 \nL 128.366841 117.784492 \nL 128.573268 122.955926 \nL 128.779696 123.661626 \nL 128.986124 130.53709 \nL 129.192552 132.417983 \nL 129.605407 128.188456 \nL 129.811835 134.241285 \nL 130.018263 132.537838 \nL 130.22469 128.366487 \nL 130.431118 132.715285 \nL 130.843974 127.486844 \nL 131.050401 131.013007 \nL 131.256829 130.367235 \nL 131.463257 126.66596 \nL 132.08254 134.365228 \nL 132.288968 132.426743 \nL 132.495396 132.486087 \nL 132.701823 129.960005 \nL 133.114679 119.678233 \nL 133.321107 117.916027 \nL 133.733962 122.14789 \nL 134.146818 130.140372 \nL 134.766101 120.388021 \nL 134.972529 120.094806 \nL 135.385384 125.266824 \nL 135.591812 127.206477 \nL 135.79824 127.559619 \nL 136.211095 133.789311 \nL 136.417523 134.67129 \nL 136.623951 133.144123 \nL 137.036806 135.084359 \nL 137.243234 135.143703 \nL 137.449661 134.204133 \nL 138.068945 128.682476 \nL 138.275372 128.74182 \nL 138.4818 126.568297 \nL 138.688228 125.687486 \nL 138.894656 125.68807 \nL 139.101083 122.691911 \nL 139.307511 121.634821 \nL 139.513939 122.223002 \nL 139.926794 129.862926 \nL 140.133222 129.628471 \nL 140.546078 128.630725 \nL 140.752505 130.511618 \nL 140.958933 130.512202 \nL 141.165361 130.336507 \nL 141.371789 130.748408 \nL 141.578216 132.80558 \nL 141.784644 133.51128 \nL 141.991072 133.276826 \nL 142.1975 134.217564 \nL 142.403927 134.394427 \nL 142.610355 135.570204 \nL 143.023211 128.755252 \nL 143.229638 128.932115 \nL 143.436066 134.162309 \nL 143.642494 132.81142 \nL 144.261777 125.997052 \nL 144.468205 126.291434 \nL 144.674633 130.228915 \nL 144.88106 129.876941 \nL 145.087488 130.347603 \nL 145.293916 131.934697 \nL 145.500344 134.520706 \nL 145.706771 135.226406 \nL 146.119627 132.289591 \nL 146.326055 130.174828 \nL 146.532482 130.704248 \nL 146.73891 130.704832 \nL 146.945338 130.0003 \nL 147.151766 131.176078 \nL 147.358193 134.408443 \nL 147.564621 132.293679 \nL 147.771049 127.240932 \nL 147.977477 125.302448 \nL 148.390332 127.771521 \nL 149.009615 132.003969 \nL 149.216043 131.475716 \nL 149.835326 125.483982 \nL 150.248182 130.77352 \nL 150.661037 130.774688 \nL 150.867465 129.071242 \nL 151.28032 130.423882 \nL 151.486748 128.426637 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130.809727 \nL 163.25313 130.98659 \nL 163.459557 130.164539 \nL 163.665985 128.813651 \nL 163.872413 128.931754 \nL 164.078841 128.697299 \nL 164.285268 129.814317 \nL 164.491696 129.286064 \nL 165.110979 124.410764 \nL 165.317407 124.528867 \nL 165.730263 126.704143 \nL 165.93669 126.587207 \nL 166.143118 126.88159 \nL 166.555974 127.940432 \nL 166.762401 127.000861 \nL 166.968829 127.9416 \nL 167.175257 130.703888 \nL 167.381685 130.116875 \nL 167.588112 126.591879 \nL 167.79454 126.298665 \nL 168.000968 129.119713 \nL 168.207396 127.710065 \nL 168.413823 128.533284 \nL 168.620251 128.827666 \nL 168.826679 130.767319 \nL 169.239534 124.951281 \nL 169.445962 122.542719 \nL 169.65239 121.485629 \nL 169.858818 121.603732 \nL 170.065245 122.838269 \nL 170.478101 130.066875 \nL 170.890956 124.074558 \nL 171.097384 122.488631 \nL 171.303812 122.724254 \nL 171.716667 129.83534 \nL 171.923095 130.54104 \nL 172.129523 132.069376 \nL 172.748806 128.545548 \nL 172.955234 129.486286 \nL 173.161661 133.365008 \nL 173.368089 130.838927 \nL 173.574517 135.070206 \nL 173.987372 130.018043 \nL 174.1938 132.95661 \nL 174.606656 127.49313 \nL 174.813083 126.259761 \nL 175.019511 129.727165 \nL 175.225939 128.258757 \nL 175.432367 124.439964 \nL 175.638794 125.439462 \nL 175.845222 125.733844 \nL 176.05165 126.380784 \nL 176.258078 129.025553 \nL 176.464505 128.908618 \nL 176.670933 127.087652 \nL 176.877361 128.498468 \nL 177.083789 128.969129 \nL 177.290216 128.323357 \nL 177.703072 125.151503 \nL 177.9095 125.974723 \nL 178.115927 128.501972 \nL 178.528783 124.625002 \nL 178.941638 127.740432 \nL 179.148066 126.095746 \nL 179.354494 122.68827 \nL 179.560922 122.512575 \nL 179.767349 124.922305 \nL 180.180205 138.379435 \nL 180.386633 140.260328 \nL 181.212344 132.447629 \nL 181.418771 132.624492 \nL 181.625199 132.213758 \nL 181.831627 128.277445 \nL 182.244482 137.033802 \nL 182.45091 131.628498 \nL 183.070193 129.8087 \nL 183.276621 130.279361 \nL 183.483049 125.814211 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124.199308 \nL 194.630147 119.558463 \nL 195.043003 122.497614 \nL 195.455858 119.208241 \nL 195.662286 120.266499 \nL 195.868714 122.088632 \nL 196.075141 120.208907 \nL 196.281569 112.688255 \nL 196.487997 112.336281 \nL 196.694424 118.624148 \nL 196.900852 117.919616 \nL 197.313708 123.502952 \nL 197.520135 124.267412 \nL 197.726563 126.91218 \nL 197.932991 133.493846 \nL 198.139419 133.259392 \nL 198.345846 128.735482 \nL 198.552274 131.732808 \nL 198.758702 130.969517 \nL 198.96513 131.08762 \nL 199.171557 131.558281 \nL 199.377985 137.141033 \nL 199.790841 122.628565 \nL 199.997268 122.922947 \nL 200.203696 119.456711 \nL 200.410124 121.983961 \nL 200.616552 132.972601 \nL 200.822979 134.971014 \nL 201.029407 128.919353 \nL 201.235835 126.62831 \nL 201.442263 129.03804 \nL 201.64869 121.693666 \nL 201.855118 121.81177 \nL 202.061546 125.86677 \nL 202.267974 124.80968 \nL 202.474401 125.397861 \nL 202.680829 124.810848 \nL 202.887257 124.752673 \nL 203.093685 121.227677 \nL 203.300112 127.045467 \nL 203.50654 128.103725 \nL 203.919396 139.151709 \nL 204.125823 135.215396 \nL 204.332251 133.45319 \nL 204.538679 129.634396 \nL 204.951534 138.038196 \nL 205.157962 138.156299 \nL 205.36439 132.809754 \nL 205.570818 132.163982 \nL 205.777245 136.924098 \nL 206.190101 126.759845 \nL 206.396529 129.169575 \nL 206.809384 129.934619 \nL 207.015812 129.347606 \nL 207.22224 129.465709 \nL 207.635095 121.710602 \nL 207.841523 121.358628 \nL 208.047951 121.71177 \nL 208.254378 121.477315 \nL 208.460806 123.240689 \nL 208.873661 128.530227 \nL 209.080089 123.007403 \nL 209.286517 121.303956 \nL 209.492945 121.245781 \nL 209.699372 121.305124 \nL 210.318656 129.827027 \nL 210.731511 127.24277 \nL 210.937939 123.541495 \nL 211.144367 125.011071 \nL 211.350794 128.713513 \nL 211.557222 130.300608 \nL 211.970078 121.899145 \nL 212.382933 118.727291 \nL 212.589361 120.901983 \nL 212.795789 125.250781 \nL 213.002216 125.780202 \nL 213.208644 124.840632 \nL 213.415072 126.133928 \nL 213.6215 131.834199 \nL 213.827927 129.190599 \nL 214.034355 124.255371 \nL 214.240783 126.488822 \nL 214.447211 130.191265 \nL 214.653638 129.839291 \nL 214.860066 130.192433 \nL 215.066494 126.667437 \nL 215.272922 126.374223 \nL 215.479349 125.317133 \nL 215.685777 126.081592 \nL 216.098633 135.249267 \nL 216.30506 131.95931 \nL 216.511488 131.01974 \nL 216.924344 135.251603 \nL 217.130771 133.900715 \nL 217.337199 134.430136 \nL 217.543627 134.195682 \nL 217.956482 128.379643 \nL 218.16291 130.260536 \nL 218.575766 127.735039 \nL 218.782193 126.736709 \nL 219.401477 136.198766 \nL 219.607904 131.733616 \nL 219.814332 129.677612 \nL 220.02076 132.792458 \nL 220.227187 130.618934 \nL 220.433615 125.507428 \nL 220.640043 126.389407 \nL 220.846471 125.508596 \nL 221.259326 129.740459 \nL 221.672182 124.629537 \nL 221.878609 125.158958 \nL 222.085037 125.042022 \nL 222.291465 123.808653 \nL 222.70432 122.517109 \nL 223.117176 126.748972 \nL 223.530031 130.628278 \nL 223.736459 129.688707 \nL 223.942887 130.982004 \nL 224.355742 137.740533 \nL 224.56217 138.328713 \nL 224.768598 134.157361 \nL 224.975026 134.334224 \nL 225.181453 132.983336 \nL 225.387881 132.455083 \nL 225.594309 132.984504 \nL 225.800737 132.75005 \nL 226.007164 133.690788 \nL 226.213592 133.632612 \nL 226.42002 134.338312 \nL 226.626448 132.928664 \nL 226.832875 132.63545 \nL 227.039303 133.928747 \nL 227.245731 133.929331 \nL 227.452159 131.755807 \nL 227.658586 131.110035 \nL 227.865014 132.285812 \nL 228.071442 131.405001 \nL 228.484297 126.646637 \nL 228.690725 126.118384 \nL 229.516436 131.937926 \nL 229.722864 130.704557 \nL 229.929292 131.292738 \nL 230.135719 132.409755 \nL 230.342147 131.470185 \nL 230.548575 129.179142 \nL 230.755003 129.473524 \nL 230.96143 132.353332 \nL 231.374286 128.065044 \nL 231.580714 128.124388 \nL 231.787141 129.711483 \nL 231.993569 130.182144 \nL 232.199997 125.775754 \nL 232.406424 125.482539 \nL 232.81928 130.12572 \nL 233.025708 130.478862 \nL 233.232135 129.715571 \nL 233.438563 129.951193 \nL 233.644991 129.834258 \nL 233.851419 129.482284 \nL 234.057846 128.072636 \nL 234.264274 127.955701 \nL 234.67713 131.423689 \nL 234.883557 132.188148 \nL 235.296413 128.957535 \nL 235.502841 129.839514 \nL 235.709268 129.311261 \nL 235.915696 128.077892 \nL 236.328552 130.135648 \nL 236.534979 130.253752 \nL 236.947835 135.014452 \nL 237.36069 128.610817 \nL 237.567118 127.612487 \nL 237.773546 127.965629 \nL 237.979974 129.082646 \nL 238.186401 129.494548 \nL 238.599257 128.320523 \nL 238.805685 128.908703 \nL 239.012112 130.672077 \nL 239.21854 131.436537 \nL 239.424968 130.849524 \nL 239.631396 131.320185 \nL 240.044251 133.377941 \nL 240.457107 128.795856 \nL 240.869962 130.207256 \nL 241.07639 129.679003 \nL 241.282818 130.032145 \nL 241.489245 130.855364 \nL 241.695673 129.915793 \nL 242.108529 134.676494 \nL 242.314956 134.559558 \nL 242.521384 130.740765 \nL 242.727812 133.091735 \nL 243.140667 125.865465 \nL 243.347095 124.220778 \nL 243.759951 129.745354 \nL 243.966378 127.983148 \nL 244.172806 123.106681 \nL 244.379234 123.9299 \nL 244.585661 127.926141 \nL 244.792089 128.455562 \nL 244.998517 127.104673 \nL 245.411372 122.346309 \nL 245.6178 123.992163 \nL 246.030656 128.400306 \nL 246.237083 124.463993 \nL 246.443511 124.523336 \nL 246.649939 127.226865 \nL 246.856367 127.521247 \nL 247.062794 128.873303 \nL 247.269222 132.281947 \nL 247.47565 132.811368 \nL 247.888505 140.80385 \nL 248.094933 133.988314 \nL 248.301361 133.166262 \nL 248.507789 130.346383 \nL 248.714216 132.050997 \nL 248.920644 135.283362 \nL 249.127072 135.166427 \nL 249.3335 135.695848 \nL 249.539927 135.108835 \nL 249.952783 131.055586 \nL 250.159211 131.761286 \nL 250.572066 125.65145 \nL 251.191349 131.822966 \nL 251.397777 136.054245 \nL 251.604205 134.644598 \nL 251.810633 131.295881 \nL 252.01706 132.001581 \nL 252.223488 130.533173 \nL 252.636344 123.248143 \nL 252.842771 123.013689 \nL 253.049199 125.952256 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132.150636 \nL 263.370586 134.384087 \nL 263.577014 133.150718 \nL 263.783442 135.090371 \nL 264.402725 124.456624 \nL 264.609153 123.987131 \nL 265.022008 120.815277 \nL 265.641292 121.287106 \nL 266.260575 131.630558 \nL 266.467003 131.337344 \nL 266.67343 126.108318 \nL 266.879858 129.340684 \nL 267.086286 140.270564 \nL 267.292714 139.859831 \nL 267.499141 135.5122 \nL 267.911997 131.458951 \nL 268.118424 128.99163 \nL 268.324852 130.461205 \nL 268.53128 130.696828 \nL 268.737708 132.283923 \nL 268.944135 131.461871 \nL 269.769846 124.354288 \nL 269.976274 125.706345 \nL 270.38913 131.700998 \nL 270.595557 132.935535 \nL 270.801985 128.235346 \nL 271.008413 126.590659 \nL 271.214841 127.883956 \nL 271.421268 124.887797 \nL 271.627696 126.357373 \nL 272.246979 134.938035 \nL 272.453407 138.699237 \nL 272.659835 139.404937 \nL 272.866263 137.93653 \nL 273.07269 131.70859 \nL 273.279118 129.711345 \nL 273.485546 132.297354 \nL 273.691974 137.938866 \nL 273.898401 139.114643 \nL 274.104829 135.883446 \nL 274.311257 136.471626 \nL 274.517685 131.771437 \nL 274.724112 132.300858 \nL 274.93054 130.832451 \nL 275.136968 128.482648 \nL 275.343396 130.481061 \nL 275.756251 140.941448 \nL 275.962679 136.828856 \nL 276.169107 135.830526 \nL 276.78839 118.14562 \nL 276.994818 116.853491 \nL 277.201245 117.500432 \nL 277.614101 127.255703 \nL 278.026956 124.847725 \nL 278.439812 121.205794 \nL 278.64624 121.617696 \nL 279.059095 117.15313 \nL 279.265523 118.975263 \nL 279.471951 122.560186 \nL 279.678378 121.444337 \nL 279.884806 118.506938 \nL 280.091234 119.212638 \nL 280.297661 117.567951 \nL 280.504089 120.682797 \nL 280.710517 127.381982 \nL 280.916945 129.086597 \nL 281.123372 120.331991 \nL 281.536228 127.795636 \nL 281.742656 126.03343 \nL 282.155511 127.679869 \nL 282.361939 131.441071 \nL 282.568367 131.441655 \nL 282.774794 134.497741 \nL 282.981222 134.733364 \nL 283.600505 128.917909 \nL 283.806933 128.800974 \nL 284.013361 125.804815 \nL 284.426216 130.976834 \nL 284.632644 126.687962 \nL 285.0455 125.455177 \nL 285.251927 124.750646 \nL 285.458355 125.338826 \nL 285.871211 119.522788 \nL 286.077638 120.581046 \nL 286.284066 123.343334 \nL 286.490494 129.043605 \nL 286.696922 131.570854 \nL 286.903349 130.513764 \nL 287.109777 127.576365 \nL 287.522633 134.804971 \nL 287.72906 131.867572 \nL 287.935488 125.580873 \nL 288.141916 123.407349 \nL 288.348344 126.757234 \nL 288.554771 126.992856 \nL 288.761199 128.227393 \nL 289.174055 127.523445 \nL 289.380482 126.583875 \nL 289.58691 126.643218 \nL 290.412621 130.699971 \nL 290.825477 128.879589 \nL 291.031904 125.119555 \nL 291.238332 124.532543 \nL 291.44476 127.706148 \nL 291.651187 127.354174 \nL 291.857615 130.410261 \nL 292.270471 133.231892 \nL 292.476898 132.64488 \nL 292.683326 133.23306 \nL 292.889754 134.350078 \nL 293.096182 127.358262 \nL 293.302609 129.356675 \nL 293.509037 134.821907 \nL 293.715465 130.533036 \nL 293.921893 132.413929 \nL 294.12832 126.244749 \nL 294.334748 125.775255 \nL 295.160459 136.765648 \nL 295.573315 132.771159 \nL 295.98617 135.945348 \nL 296.399026 131.8921 \nL 296.811881 129.131564 \nL 297.018309 131.071217 \nL 297.224737 129.132732 \nL 297.431164 125.960294 \nL 297.637592 129.01638 \nL 297.84402 126.842857 \nL 298.050448 129.252587 \nL 298.669731 127.138991 \nL 299.082586 128.197833 \nL 299.495442 124.555902 \nL 299.70187 124.674005 \nL 299.908297 127.318774 \nL 300.114725 128.494551 \nL 300.321153 128.318856 \nL 300.527581 128.730758 \nL 300.734008 129.436458 \nL 300.940436 129.202003 \nL 301.353292 130.143326 \nL 301.766147 126.971472 \nL 302.179003 129.146747 \nL 302.38543 128.324696 \nL 302.591858 128.560319 \nL 303.211141 134.026719 \nL 303.417569 133.792265 \nL 303.623997 130.972385 \nL 303.830424 130.444132 \nL 304.036852 131.032312 \nL 304.449708 129.564489 \nL 304.656135 129.682592 \nL 304.862563 132.327361 \nL 305.068991 133.503138 \nL 305.481846 130.860121 \nL 305.688274 130.860705 \nL 305.894702 132.095242 \nL 306.10113 132.624663 \nL 306.720413 128.748278 \nL 306.926841 129.571497 \nL 307.133268 128.925725 \nL 307.339696 130.45406 \nL 307.546124 131.04224 \nL 307.752552 132.864374 \nL 307.958979 133.276275 \nL 308.165407 131.807868 \nL 308.371835 131.573413 \nL 308.78469 132.926053 \nL 308.991118 132.104002 \nL 309.197546 130.811874 \nL 309.403974 127.933234 \nL 309.610401 127.346222 \nL 310.229685 131.40239 \nL 310.436112 131.520493 \nL 310.64254 130.228365 \nL 310.848968 131.639181 \nL 311.055396 131.110928 \nL 311.674679 134.52074 \nL 312.087534 129.703616 \nL 312.293962 130.761874 \nL 312.50039 135.110673 \nL 312.706818 134.758699 \nL 313.326101 128.238128 \nL 313.532529 128.121193 \nL 313.738956 128.826893 \nL 313.945384 126.59461 \nL 314.151812 125.831318 \nL 314.35824 127.007095 \nL 314.771095 132.76671 \nL 315.183951 128.830981 \nL 315.390378 129.184123 \nL 315.596806 128.890908 \nL 315.803234 127.892578 \nL 316.009661 128.363239 \nL 316.216089 129.245218 \nL 316.422517 129.069523 \nL 316.628945 128.54127 \nL 316.835372 131.832395 \nL 317.0418 131.539181 \nL 317.248228 130.012014 \nL 317.454656 131.951667 \nL 317.661083 131.658452 \nL 318.073939 128.075281 \nL 318.280367 125.314161 \nL 318.486794 126.19614 \nL 318.693222 128.488351 \nL 319.106078 124.082544 \nL 319.312505 124.141888 \nL 319.518933 124.612549 \nL 319.931789 127.727979 \nL 320.344644 129.198138 \nL 320.551072 129.375001 \nL 320.7575 128.61171 \nL 320.963927 129.19989 \nL 321.376783 132.609119 \nL 321.583211 130.964432 \nL 321.789638 130.965016 \nL 321.996066 128.909012 \nL 322.202494 124.267583 \nL 322.615349 126.20782 \nL 322.821777 130.26282 \nL 323.028205 127.44294 \nL 323.234633 126.973447 \nL 323.44106 128.560542 \nL 323.647488 128.208568 \nL 324.266771 122.863191 \nL 324.679627 126.801256 \nL 324.886055 127.154398 \nL 325.092482 127.977617 \nL 325.29891 127.214326 \nL 325.918193 121.986468 \nL 326.124621 123.221005 \nL 326.537477 129.450697 \nL 326.743904 128.452367 \nL 326.950332 124.516053 \nL 327.363187 127.102646 \nL 327.982471 121.874788 \nL 328.188898 125.283433 \nL 328.395326 131.923858 \nL 328.601754 128.86894 \nL 329.014609 119.468562 \nL 329.221037 120.938138 \nL 329.427465 123.641666 \nL 329.633893 122.232018 \nL 329.84032 122.232602 \nL 330.253176 125.935629 \nL 330.459604 127.111406 \nL 330.872459 136.220321 \nL 331.078887 132.636566 \nL 331.285315 134.164901 \nL 331.69817 121.826541 \nL 331.904598 125.99906 \nL 332.111026 126.469722 \nL 332.317453 120.946898 \nL 332.523881 118.655855 \nL 332.936737 124.709268 \nL 333.143164 126.296363 \nL 333.349592 125.415552 \nL 333.55602 122.771951 \nL 333.762448 122.302458 \nL 333.968875 124.653428 \nL 334.175303 122.891222 \nL 334.381731 123.714442 \nL 334.588159 125.712854 \nL 334.794586 130.120413 \nL 335.001014 129.298361 \nL 335.207442 123.834297 \nL 335.41387 123.306044 \nL 335.620297 128.712517 \nL 335.826725 138.467204 \nL 336.033153 139.407943 \nL 336.239581 141.053797 \nL 336.446008 139.350351 \nL 336.652436 133.710008 \nL 336.858864 135.003304 \nL 337.065292 138.000631 \nL 337.271719 132.654086 \nL 337.478147 131.773275 \nL 337.684575 135.00564 \nL 338.09743 132.186344 \nL 338.303858 132.128169 \nL 338.510286 135.184255 \nL 338.716714 135.243599 \nL 339.542424 122.436329 \nL 339.748852 120.732883 \nL 339.95528 120.850986 \nL 340.161708 121.791724 \nL 340.368135 120.852154 \nL 340.574563 127.903897 \nL 340.780991 128.374558 \nL 341.193846 121.677125 \nL 341.400274 125.02701 \nL 341.606702 134.194101 \nL 341.81313 134.429723 \nL 342.019557 130.787208 \nL 342.225985 131.25787 \nL 342.638841 132.786789 \nL 342.845268 126.852647 \nL 343.258124 125.502343 \nL 343.464552 125.620446 \nL 344.083835 137.197851 \nL 344.49669 125.03577 \nL 344.909546 133.557088 \nL 345.115974 130.267131 \nL 345.528829 118.163809 \nL 345.735257 117.341758 \nL 345.941685 123.042029 \nL 346.148112 122.690055 \nL 346.35454 123.043197 \nL 346.560968 126.275562 \nL 346.767396 119.988863 \nL 346.973823 120.753322 \nL 347.180251 127.687546 \nL 347.386679 125.807821 \nL 347.593107 125.690886 \nL 348.005962 117.348182 \nL 348.831673 126.575785 \nL 349.038101 123.638385 \nL 349.244529 130.278811 \nL 349.450956 132.571022 \nL 349.657384 132.689125 \nL 349.863812 134.27622 \nL 350.07024 126.403009 \nL 350.276667 128.75398 \nL 350.483095 127.461851 \nL 350.689523 128.34383 \nL 350.895951 134.044101 \nL 351.102378 124.231822 \nL 351.308806 122.704655 \nL 351.721661 125.291248 \nL 351.928089 119.298346 \nL 352.134517 121.296759 \nL 352.340945 127.173309 \nL 352.547372 129.876837 \nL 352.7538 130.465018 \nL 352.960228 136.04777 \nL 353.166656 131.347581 \nL 353.373083 130.349251 \nL 353.579511 128.175727 \nL 353.785939 134.228556 \nL 353.992367 130.997359 \nL 354.198794 125.415775 \nL 354.405222 124.593724 \nL 354.61165 126.944694 \nL 354.818078 122.714583 \nL 355.024505 121.128656 \nL 355.230933 121.540557 \nL 355.437361 121.012304 \nL 355.850216 128.652228 \nL 356.056644 128.417774 \nL 356.263072 126.538048 \nL 356.675927 126.950534 \nL 356.882355 126.069723 \nL 357.088783 125.717749 \nL 357.501638 119.196595 \nL 357.708066 119.432217 \nL 357.914494 121.959467 \nL 358.120922 119.492145 \nL 358.327349 120.315364 \nL 358.533777 125.369279 \nL 358.946633 115.792622 \nL 359.15306 115.616927 \nL 359.359488 113.913481 \nL 359.772344 117.616508 \nL 360.185199 124.492556 \nL 360.391627 123.611745 \nL 360.598055 123.377291 \nL 361.01091 124.90621 \nL 361.423766 136.953108 \nL 361.836621 142.830242 \nL 362.455904 127.789521 \nL 362.662332 133.019715 \nL 362.86876 133.607895 \nL 363.075187 139.073128 \nL 363.488043 137.546545 \nL 363.900898 126.383377 \nL 364.107326 126.50148 \nL 364.313754 125.738189 \nL 364.520182 126.26761 \nL 364.726609 127.678426 \nL 364.933037 126.562576 \nL 365.139465 124.74161 \nL 365.55232 131.38262 \nL 365.758748 130.678088 \nL 365.965176 131.560067 \nL 366.171604 134.381115 \nL 366.378031 134.793016 \nL 366.584459 135.498716 \nL 366.790887 134.559146 \nL 367.203742 128.390549 \nL 367.616598 124.278541 \nL 368.235881 129.451143 \nL 368.442309 130.333122 \nL 368.855164 127.278788 \nL 369.061592 126.868054 \nL 369.26802 127.103677 \nL 369.680875 125.459574 \nL 369.887303 126.341553 \nL 370.300159 129.104425 \nL 370.506586 129.046249 \nL 370.919442 127.989743 \nL 371.12587 128.284126 \nL 371.332297 129.459903 \nL 371.538725 124.583435 \nL 371.745153 122.64495 \nL 372.158008 129.814797 \nL 372.364436 130.638016 \nL 372.777292 133.224609 \nL 372.983719 131.403644 \nL 373.190147 128.054927 \nL 373.396575 128.878146 \nL 373.80943 131.993576 \nL 374.015858 132.05292 \nL 374.222286 129.761877 \nL 374.428714 129.9975 \nL 374.841569 127.295723 \nL 375.047997 129.587934 \nL 375.254424 129.1772 \nL 375.460852 129.647862 \nL 375.873708 134.114764 \nL 376.080135 134.761704 \nL 376.492991 128.945666 \nL 376.699419 128.417413 \nL 376.905846 130.357066 \nL 377.112274 127.360907 \nL 377.318702 126.891414 \nL 377.52513 128.419749 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    }
   ],
   "source": [
    "detrender = Detrender()\n",
    "detrender.fit_transform(inter_df).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, we are left with only the seasonal component of our time-series!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this forecasting problem, we will be using the naive method for seasonal forecasting:\n",
    "- Naive seasonal method forecasts using the corresponding value of the previous period"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>TransformedTargetForecaster(steps=[(&#x27;interpolator&#x27;, Imputer(method=&#x27;linear&#x27;)),\n",
       "                                   (&#x27;detrender&#x27;, Detrender()),\n",
       "                                   (&#x27;forecaster&#x27;, NaiveForecaster(sp=365))])</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">TransformedTargetForecaster</label><div class=\"sk-toggleable__content\"><pre>TransformedTargetForecaster(steps=[(&#x27;interpolator&#x27;, Imputer(method=&#x27;linear&#x27;)),\n",
       "                                   (&#x27;detrender&#x27;, Detrender()),\n",
       "                                   (&#x27;forecaster&#x27;, NaiveForecaster(sp=365))])</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "TransformedTargetForecaster(steps=[('interpolator', Imputer(method='linear')),\n",
       "                                   ('detrender', Detrender()),\n",
       "                                   ('forecaster', NaiveForecaster(sp=365))])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Create forecaster\n",
    "forecaster = NaiveForecaster(strategy=\"last\", sp=365)\n",
    "\n",
    "# Create seasonal pipeline\n",
    "pipeline = TransformedTargetForecaster(steps=[\n",
    "    (\"interpolator\", interpolator),\n",
    "    (\"detrender\", detrender),\n",
    "    (\"forecaster\", forecaster)\n",
    "])\n",
    "pipeline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Temporal Cross Validation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's evaluate this forecaster using cross validation! We should be careful not to perform K-Fold cross validation the same way we do in typical regression or classification problems, as we want to avoid data leakage that involves training on future data. Thankfully, `sktime` already implements cross validation with a rolling forecasting origin with its `SlidingWindowSpliter` function. \n",
    "\n",
    "We will use the Mean Absolute Error metric to evaluate our forecaster point prediction, which is defined as the mean of the absolute value of the residuals:\n",
    "$$ MAE = \\frac{1}{N} \\sum_{i=1}^{N} \\left| y_{T+i} - \\hat{y}_{T+i} \\right| $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Cross-validating: 100%|██████████| 5/5 [00:20<00:00,  4.02s/it]\n"
     ]
    }
   ],
   "source": [
    "# Creating Validation folds\n",
    "nfolds = 5\n",
    "forecast_size = 14\n",
    "fh = np.arange(forecast_size) + 1\n",
    "window_length = df.shape[0] - nfolds - forecast_size + 1\n",
    "splitter = list(SlidingWindowSplitter(fh=fh, window_length=window_length).split(df))\n",
    "\n",
    "# Iterate folds\n",
    "metric = MeanAbsoluteError(multioutput=\"raw_values\")\n",
    "train_score, val_score = 0, 0\n",
    "bar = tqdm(splitter, desc=\"Cross-validating\")\n",
    "for train_idx, val_idx in bar:\n",
    "    \n",
    "    # Get train and validation data (interpolate for avoiding NaN in metric calculation)\n",
    "    y_train, y_val = df.iloc[train_idx].interpolate(method=\"linear\"), df.iloc[val_idx].interpolate(method=\"linear\")\n",
    "    \n",
    "    # Get training performance\n",
    "    pipeline = pipeline.fit(y_train.iloc[:-forecast_size], fh=fh)\n",
    "    y_train_pred = pipeline.predict()\n",
    "    train_score += metric(y_train.iloc[-forecast_size:], y_train_pred) / len(splitter)\n",
    "    \n",
    "    # Predict on validation data\n",
    "    pipeline = pipeline.fit(y_train, fh=fh)\n",
    "    y_val_pred = pipeline.predict()\n",
    "    val_score += metric(y_val, y_val_pred) / len(splitter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>tavg</th>\n",
       "      <th>tmin</th>\n",
       "      <th>tmax</th>\n",
       "      <th>wdir</th>\n",
       "      <th>wspd</th>\n",
       "      <th>pres</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3.887175</td>\n",
       "      <td>3.158829</td>\n",
       "      <td>5.079269</td>\n",
       "      <td>74.975853</td>\n",
       "      <td>6.31007</td>\n",
       "      <td>4.350094</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       tavg      tmin      tmax       wdir     wspd      pres\n",
       "0  3.887175  3.158829  5.079269  74.975853  6.31007  4.350094"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "val_score = pd.DataFrame(data=val_score.reshape(1, -1), index=[0], columns=y_val.columns)\n",
    "val_score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can train the forecaster on the whole training set:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Train pipeline on the whole training set\n",
    "y_train = df\n",
    "pipeline = pipeline.fit(y_train, fh=fh)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Saving our model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(\"models/naive-seasonal.pkl\", \"wb\") as f:\n",
    "    pickle.dump(pipeline, f, protocol=pickle.HIGHEST_PROTOCOL)"
   ]
  }
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