You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
493 lines
449 KiB
493 lines
449 KiB
{
|
|
"metadata": {
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.7.4"
|
|
},
|
|
"orig_nbformat": 2,
|
|
"kernelspec": {
|
|
"name": "python3",
|
|
"display_name": "Python 3.7.4 64-bit ('base': conda)"
|
|
},
|
|
"interpreter": {
|
|
"hash": "c77bccf6af5544921fca6eddbefe5e7c44ddf71c61b63c74bd828ca1d0e389a0"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2,
|
|
"cells": [
|
|
{
|
|
"source": [
|
|
"# Peter and the Wolf: Reinforcement Learning Primer\n",
|
|
"\n",
|
|
"In this tutorial, we will learn how to apply Reinforcement learning to a problem of path finding. The setting is inspired by [Peter and the Wolf](https://en.wikipedia.org/wiki/Peter_and_the_Wolf) musical fairy tale by Russian composer [Sergei Prokofiev](https://en.wikipedia.org/wiki/Sergei_Prokofiev). It is a story about young pioneer Peter, who bravely goes out of his house to the forest clearing to chase a wolf. We will train machine learning algorithms that will help Peter to explore the surrounding area and build an optimal navigation map.\n",
|
|
"\n",
|
|
"First, let's import a bunch of useful libraries:"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import numpy as np\n",
|
|
"import random\n",
|
|
"import math"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"## Overview of Reinforcement Learning\n",
|
|
"\n",
|
|
"**Reinforcement Learning** (RL) is a learning technique that allows us to learn an optimal behaviour of an **agent** in some **environment** by running many experiments. An agent in this environment should have some **goal**, defined by a **reward function**.\n",
|
|
"\n",
|
|
"## The Environment\n",
|
|
"\n",
|
|
"For simplicity, let's consider Peter's world to be a square board of size `width` x `height`. Each cell in this board can either be:\n",
|
|
"* **ground**, on which Peter and other creatures can walk\n",
|
|
"* **water**, on which you obviously cannot walk\n",
|
|
"* **a tree** or **grass** - a place where you can rest\n",
|
|
"* **an apple**, which represents something Peter would be glad to find in order to feed himself\n",
|
|
"* **a wolf**, which is dangerous and should be avoided\n",
|
|
"\n",
|
|
"To work with the environment, we will define a class called `Board`. In order not to clutter this notebook too much, we have moved all code to work with the board into separate `rlboard` module, which we will now import. You may look inside this module to get more details about the internals of the implementation."
|
|
],
|
|
"cell_type": "code",
|
|
"metadata": {},
|
|
"execution_count": null,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"source": [
|
|
"Let's now create a random board and see how it looks:"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 792x432 with 1 Axes>",
|
|
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"360.646265pt\" version=\"1.1\" viewBox=\"0 0 366.6475 360.646265\" width=\"366.6475pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;white-space:pre;}\r\n </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n <g id=\"patch_1\">\r\n <path d=\"M 0 360.646265 \r\nL 366.6475 360.646265 \r\nL 366.6475 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n </g>\r\n <g id=\"axes_1\">\r\n <g id=\"patch_2\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 359.4475 336.76814 \r\nL 359.4475 10.60814 \r\nL 33.2875 10.60814 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n </g>\r\n <g clip-path=\"url(#p13c0d516da)\">\r\n <image height=\"327\" id=\"imagef33cdae203\" transform=\"scale(1 -1)translate(0 -327)\" width=\"327\" x=\"33.2875\" xlink:href=\"data:image/png;base64,\r\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\" y=\"-9.76814\"/>\r\n </g>\r\n <g id=\"matplotlib.axis_1\">\r\n <g id=\"xtick_1\">\r\n <g id=\"line2d_1\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m20bf7535fa\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.678579\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_1\">\r\n <!-- 0 -->\r\n <defs>\r\n <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n </defs>\r\n <g transform=\"translate(30.497329 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_2\">\r\n <g id=\"line2d_2\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"72.786493\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_2\">\r\n <!-- 50 -->\r\n <defs>\r\n <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n </defs>\r\n <g transform=\"translate(66.423993 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_3\">\r\n <g id=\"line2d_3\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"111.894406\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_3\">\r\n <!-- 100 -->\r\n <defs>\r\n <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n </defs>\r\n <g transform=\"translate(102.350656 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_4\">\r\n <g id=\"line2d_4\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"151.00232\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_4\">\r\n <!-- 150 -->\r\n <g transform=\"translate(141.45857 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_5\">\r\n <g id=\"line2d_5\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"190.110234\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_5\">\r\n <!-- 200 -->\r\n <defs>\r\n <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n </defs>\r\n <g transform=\"translate(180.566484 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_6\">\r\n <g id=\"line2d_6\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"229.218147\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_6\">\r\n <!-- 250 -->\r\n <g transform=\"translate(219.674397 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_7\">\r\n <g id=\"line2d_7\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"268.326061\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_7\">\r\n <!-- 300 -->\r\n <defs>\r\n <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n </defs>\r\n <g transform=\"translate(258.782311 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_8\">\r\n <g id=\"line2d_8\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"307.433975\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_8\">\r\n <!-- 350 -->\r\n <g transform=\"translate(297.890225 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_9\">\r\n <g id=\"line2d_9\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"346.541888\" xlink:href=\"#m20bf7535fa\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_9\">\r\n <!-- 400 -->\r\n <defs>\r\n <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n </defs>\r\n <g transform=\"translate(336.998138 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"matplotlib.axis_2\">\r\n <g id=\"ytick_1\">\r\n <g id=\"line2d_10\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"md00cf42de5\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"10.999219\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_10\">\r\n <!-- 0 -->\r\n <g transform=\"translate(19.925 14.798438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_2\">\r\n <g id=\"line2d_11\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"50.107132\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_11\">\r\n <!-- 50 -->\r\n <g transform=\"translate(13.5625 53.906351)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_3\">\r\n <g id=\"line2d_12\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"89.215046\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_12\">\r\n <!-- 100 -->\r\n <g transform=\"translate(7.2 93.014265)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_4\">\r\n <g id=\"line2d_13\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"128.32296\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_13\">\r\n <!-- 150 -->\r\n <g transform=\"translate(7.2 132.122179)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_5\">\r\n <g id=\"line2d_14\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"167.430873\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_14\">\r\n <!-- 200 -->\r\n <g transform=\"translate(7.2 171.230092)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_6\">\r\n <g id=\"line2d_15\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"206.538787\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_15\">\r\n <!-- 250 -->\r\n <g transform=\"translate(7.2 210.338006)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_7\">\r\n <g id=\"line2d_16\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"245.646701\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_16\">\r\n <!-- 300 -->\r\n <g transform=\"translate(7.2 249.44592)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_8\">\r\n <g id=\"line2d_17\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"284.754614\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_17\">\r\n <!-- 350 -->\r\n <g transform=\"translate(7.2 288.553833)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_9\">\r\n <g id=\"line2d_18\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#md00cf42de5\" y=\"323.862528\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_18\">\r\n <!-- 400 -->\r\n <g transform=\"translate(7.2 327.661747)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"patch_3\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 33.2875 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_4\">\r\n <path d=\"M 359.4475 336.76814 \r\nL 359.4475 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_5\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 359.4475 336.76814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_6\">\r\n <path d=\"M 33.2875 10.60814 \r\nL 359.4475 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <defs>\r\n <clipPath id=\"p13c0d516da\">\r\n <rect height=\"326.16\" width=\"326.16\" x=\"33.2875\" y=\"10.60814\"/>\r\n </clipPath>\r\n </defs>\r\n</svg>\r\n",
|
|
"image/png": "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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"# code block 1"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"## Actions and Policy\n",
|
|
"\n",
|
|
"In our example, Peter's goal would be to find an apple, while avoiding the wolf and other obstacles. To do this, he can essentially walk around until he finds and apple. Therefore, at any position he can chose between one of the following actions: up, down, left and right. We will define those actions as a dictionary, and map them to pairs of corresponding coordinate changes. For example, moving right (`R`) would correspond to a pair `(1,0)`."
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# code block 2"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"The strategy of our agent (Peter) is defined by a so-called **policy**. A policy is a function that returns the action at any given state. In our case, the state of the problem is represented by the board, including the current position of the player. \n",
|
|
"\n",
|
|
"The goal of reinforcement learning is to eventually learn a good policy that will allow us to solve the problem efficiently. However, as a baseline, let's consider the simplest policy called **random walk**.\n",
|
|
"\n",
|
|
"## Random walk\n",
|
|
"\n",
|
|
"Let's first solve our problem by implementing a random walk strategy. With random walk, we will randomly chose the next action from allowed ones, until we reach the apple. "
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"source": [
|
|
"# Let's run a random walk experiment several times and see the average number of steps taken: code block 3"
|
|
],
|
|
"cell_type": "code",
|
|
"metadata": {},
|
|
"execution_count": null,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"Average path length = 32.87096774193548, eaten by wolf: 7 times\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# code block 4"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"## Reward Function\n",
|
|
"\n",
|
|
"To make our policy more intelligent, we need to understand which moves are \"better\" than others. To do this, we need to define our goal. The goal can be defined in terms of **reward function**, that will return some score value for each state. The higher the number - the better the reward function is.\n",
|
|
"\n"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#code block 5"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"An interesting thing about the reward function is that in most of the cases *we are only given substantial reward at the end of the game*. It means that our algorithm should somehow remember \"good\" steps that lead to a positive reward at the end and increase their importance. Similarly, all moves that lead to bad results should be discouraged.\n",
|
|
"\n",
|
|
"## Q-Learning\n",
|
|
"\n",
|
|
"An algorithm that we will discuss here is called **Q-Learning**. In this algorithm, the policy is defined by a function (or a data structure) called **Q-Table**. It records the \"goodness\" of each of the actions in a given state, i.e. $Q : {S\\times A}\\to\\mathbb{R}$, where $S$ is a set of states, $A$ is the set of actions.\n",
|
|
"\n",
|
|
"It is called Q-Table because it is often convenient to represent it as a table, or multi-dimensional array. Since our board has dimentions `width` x `height`, we can represent Q-Table by a numpy array with shape `width` x `height` x `len(actions)`:"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 55,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# code block 6"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"Notice that we initially initialize all values of Q-Table with equal value, in our case - 0.25. That corresponds to the \"random walk\" policy, because all moves in each state are equally good. We can pass the Q-Table to the `plot` function in order to visualize the table on the board:"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 792x432 with 1 Axes>",
|
|
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"360.646265pt\" version=\"1.1\" viewBox=\"0 0 366.6475 360.646265\" width=\"366.6475pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;white-space:pre;}\r\n </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n <g id=\"patch_1\">\r\n <path d=\"M 0 360.646265 \r\nL 366.6475 360.646265 \r\nL 366.6475 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n </g>\r\n <g id=\"axes_1\">\r\n <g id=\"patch_2\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 359.4475 336.76814 \r\nL 359.4475 10.60814 \r\nL 33.2875 10.60814 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n </g>\r\n <g clip-path=\"url(#p37f08b6901)\">\r\n <image height=\"327\" id=\"image132510f9a4\" transform=\"scale(1 -1)translate(0 -327)\" width=\"327\" x=\"33.2875\" xlink:href=\"data:image/png;base64,\r\niVBORw0KGgoAAAANSUhEUgAAAUcAAAFHCAYAAAAySY5rAAAABHNCSVQICAgIfAhkiAAAIABJREFUeJzs3XmcFNW99/FPrV1dvc3KjuyCyqaCxpi4oAZxB0VjUNwAY9wFjXG5NxGJRuNOcokGjbhE44LRJBgVAUGIglEQZBAEVJBl1p7el6p6/ujpckYb86Dt7Z7reSfzGpzuqf5NMf3l1DmnzpEmTJjg9OzZk3KVSqWIRqNUV1eXupQ9CofDqKqKz+crdSl7tGvXLnbtqsFxlFKXskcVFdvp06d8fxcty6KxsZEuXbqUupQ9isViWJZFMBgsdSl71NjYiN/vx+PxlLqUPdq+fTtceeWVTjnbuHGj8+CDD5a6jK80f/58Z/ny5aUu4yvNnDnT8XiaHHDK9MN2zjzzslKfpq/U2NjozJo1q9RlfKVly5Y5L7zwQqnL+Epz5sxxNm7cWOoyvtIVV1zhyKVOaEEQhHKklroAQeiMbNsGQJIkHMf5j58dxyGTSGBlMu4xFE3Dti1sy3a/puo6mXS6w2vphoFuGHs8fr6OziZ/Xr74sxT6Wvvv2dNjxdD+mCIcBeFraGpqwrIs/H4/kUiE6upqwuEw1dXVNDc3EwgE2L17N5WVlUSjEdb84++seOxRNq16G8h1JPQ/9FB2f/IJTdu3Y9kOlgP7H3U07y18naztYCOhe70c+eMzOfWyywnU1lJTW0s8HicYDNLY2EhVVRWSJHXKcEwmkyQSCTweD6lUClmWURSFdDqNaZokEgl0XSeTySBJEqqqkkqlME2TeDyOrutYloWmaTiOA4CqqiSTSbxeL8lkEl3XsW0bx3FQVZVEIoFpmu5jjuNgWRaKouD1ejvUJ8JREPbSF99Y7d9s0WgUTdNIJpMEAgFs2+btJ+fxt1t/hWPbGEq+dQTbV72N5YChyFiSg+U4bHxjMR4ZFEki64Bhevn3q6/RtP0zptx5J6lgEFmWiUajeDwe97NhGCU+K3svm82iaRq2baOqqhvwuq67j+VDDXKtRk3TyGaz6LoOgKIobivecRwymYwbsLIsk81m3dfLZDKoqtrhsXwL1LKsL9Un+hwFYS8pioJlWViWhSzLWJaFqqrYtu2+2TVNI51Os3TuHJbc+1sMGbyqjFeVMVQFQ5MxVBmvImGoEkbb1z2qjEdV8CgSHtlBVyRClZXEI6384corsdve0B6PB8uy0HXdDY/OJt8SlCSJZDLphlUymURRFJLJJADpdNoNufxjiUQC27ZJp9MduhY0TSOTyXQI2Pahm38s/3emKAqO46AoX57FIcJREPaSLOfeNvnL2XxI5t9kjuMgyzJb3l7Bqnl/RM0k8Wqy+2GquQ+vKmNoMl5VyT2mgFeR2gI0F5KZcDPRHdswvV4cx+bnx/3IrcG2bbeWzih/ztr/DPn+xPbnET7va7Rtm927d7NgwQL22Wcf+vXrR8+ePenVqxdz585l586dAG7YybKMLMtIktTh7yj/nPxjhbolOu+ZFYQSSaVSaJqGpmlYloXX63X7x6LRKLquE2luomHFG9j1O/CqUi4QlY7BmP+6V5XxKjKGpuBR5FxLUpHxKAq6LJFuDbN700aqu3TFDPjZ/N57RCIRPB4PsViMTLtBns4kmUzi8/nIZrP4fD73Utnv97vdEpZlYRgGHo8Hx3FYv349Bx54IOeffz6tra1EIhFaW1tpbW3l6quvZvDgwaxYsYJIJIKu68TjcbdFGovFMAyDSCSCqqrE43FSqRSQa51+kQhHQdhLXq+XeDxOIpFAURTi8bj7hg6FQiSTSaRsmtWP/THXKlQUvKqCqeU+G244KrlWoiK1tRRzl9a6kvuzR5HQ2z5ad25n86q36dG3L6898gihgJ9EIkFFRUWn7G8EME2T1tZWNE2jtbXVvYxuaWnBNE1aWlpQFIVYLEYymeTNN9/kvPPOo6WlZY/HTKfTTJkyhcWLF5NKpQgEAu6ldTAYJJFIUFlZSSaTwe/3u4Mwhc6hCEdB2EuxWIxAIIDf7yebzeL3+wmHw5imSWNjI6ZpsuDSC/BouUtjb1soelUp91nPXV5/Hoi5gPQqYKgOhirnAlLJfV1TZHRVoXn7J2x8cynJeIxXnnqKQCBAQ0MD8Xi81Kfka4lEIlRWVpJOp6msrHSDqqamhkgkQk1NjXu3j2marFy5kk8//fQ/Hnfnzp0sWrQIwzBoaWkhlUph2zZNTU34fD4aGhrQdZ1wOEwsFgMoeA47Z0+uIJSQoihks1m3ryqbzaKqKpZl4fF4aNn8EfFPtuBVFRRJQpYlZAckScYBbMC2HWzZwcYhm3XIypC1ZRTJRgVkHCTJBktu+w5AVki2tmCn02xZvZpRx/0Ir8+HpmmlOxnfQCAQoKmpiWAwSEtLC7quo2kaTU1NVFVV0djYSCAQIBKJIMsypmm631tbW0vv3r079Etu27aN3bt34ziOO5UnFAqRyWSwLIvKykqam5upqqqitbWVYDDoDup8cRoPiHAUhL2mKAqZTKbDIEF+gESSJFbd+V/IqRi6KufCUQK5XX+/7YAtg+1IWA5kJAfVcchYNrKlIGHhIIEk4TgyOGA7No4CqUgruzdt4JP1H3DMpHPo1r+/O8evs0mlUhiGQTabxev1uoMiXq/Xneto2zYej4f6+nqWLl0KgM/nY/bs2YwbN67DZPC//e1vXHbZZTQ1NfHOO++wY8cOtx/TcRy3Xzgej6MoCqlUyj132Wz2S/d6i8tqQdhLqVQKr9eL1+vFtu0OE44/fnMxye2f5AZYVBlDkd3RZ0NVMVS17RJb+fxxRcIjS+iy7PYx6gpocu7PmiKhyhKaLKHKMg1bt9B/6AH87fezaW1tLTiY0Bm0/wfFsiw3qNpPkcr/47Nlyxb++te/Arn+wWOPPRbAbTlKksTJJ5/sLlCzcOFC1q5d22E0Oj8nsv1I+FfdYSTCURD2kmmaRCIRd9QzEom4nf321o3Y9Z9hqDKmR8fn1fGqMqaqtI1US219j7mvGfnBl/w8RyXXT6mpMh5ZRpdzwagrEqoCwcoKZAfeX7iIFc8/T21tbYfLzc5EVVWy2SyyLJPJZNzJ3Nls1m2d54Oz/WTu/GRvwA3Q/FSd9iGX7+7Ify0/uyB/14yqqu4c0UJTokQ4CsJeisVi+P1+/H4/mUyGQCBAOBzG41i0frwJVQaPJuM1vXi9OmZb6/HzKTy56ToeRcKr5abt6G1BqCsympRrSaqKhCo56LKEIklosowdi2IYBnY6gaaqrHj1n512QCY/yp8/h/lL4Pw/NMFg0O3HXb9+vft9qqoSCoWAXCsy36f4xRb0xo0baW5udoO3tbUVr9dLOBxG0zRisRiJRAIoPJVH9DkKwl7yeDzutJP8nRxer5eGNatoXvYKXlVG11R81dUQa0XKpHODMkg4gOXY2A5kbJusLbV91UYCHCnXF2kjozo2qiJjOw6aImM5Do4mo/tDJJIJrGSSl+64k8OOG1vK0/G1+Xw+GhsbCYVC7oDMW2+9xYIFCwgEArS2tuLxeEgkEsyZM8f9vquuuoqmpiYCgQDxeByfz+dekl9zzTVccsklOI7Dr371KxobG905kvmpQ2PGjOGII45w51Gm0+mCU3mKGo6O42DbNtOmTeMPf/iDOzu9nNi2TTwe54YbbuCee+75UlO8HNi2zb///W9Wr17N+eefX5Y1lrv87+L06dOZOXMmPp+vaL+L+ft3ZVkmnU6791KrgJxMoisSHk3FV1GJHAig2BZSJkWmfjs4EpYtYdu5+6fTUu5S0nbaIlJysGwZy7FRHQlVksjKoDigyA6OpuGrrKA1HCYSiSNJfKsDMrZts23bNh577DGuv/76ov4uRqNRKioqSKVSVFRU4DgOAwYMYPny5bz33nvuZXZ7J598MuPGjeM3v/kNM2fOxDRNt9V3//33c/zxx3PWWWfx9NNP4zgOs2fPdr9XlmX69u3LtGnT0HWd1tZWIHe5nR+saa+oyfXoo4+y7777ctlllzF8+HBmzpxZzMMXxbRp0xgzZgwTJ06kf//+vPbaa6Uu6UtGjhzJnDlzSCQSdO/e/SsnvQqFvf766/Tv358JEyZw3HHHMWXKlKIePx+OkB9YsHAizWiqjObzUbX/SLyBIGZVNb7aLviqqwl2603lyEOoGj4Kj9+L1zTxaFpuAEbNXTYrSKgSKBLoHh2v309Fj170GDqMfgePpt+BB1HZpRuDDh5NsLqSxk+3sfaNN4r6s7U3btw4fvaznzF48GB69+7Nhx9+WLRj5+eH6rpOU1MT69atQ9f1XLdBu2CUJIl+/fpx/fXXc/fdd3PKKaewbt06JElyQ03TNNauXcvYsWO5/fbbuf/+++nfv3+HfxDzg2fdu3dn/fr1eL1et7/2W50E3tLSwo4dO5g6dSrr1q3j+eefd//VKRcbNmygurqaCy64gGg0ygMPPMD777/v3kJUDt544w2OOOIIDj/8cA4//HCuu+46FixYUOqyOpVUKsWaNWu48MIL2bx5M8899xy1tbVs2LChKMf3+XyEw2F3e4xIJELAo/PBb27ErKqlZtjBeEIhdNOHx+fD8Pkwq2rw9+6HGQjhraig8qDDCR30Pfx9+uPr3guzey98PXoS6NGbQK9eBHvuQ7cDDqT3935AzYCBmMEg/upqzEAAb8CPGQww5NDvYWfSfLBsaVF+ri9655132G+//Rg/fjxdu3bl1ltvZfHixQVbdF9HOp12F4hIJpMccsghXHXVVTQ2NrrPGTJkCJMnT+att97ihhtuYMmSJTQ1NXW4Tzq/CIiiKESjUV566SUuvPBCVq5cyeTJkxk+fLh7vJaWFq6++moOPfRQtmzZ4k7Jaj/gk1f0y2rAHZ4vN+3npeXnppXbHLH2c+baL+wp7J0v/i4W8zwmk0m3xZFfsiwWbkGWIDjkAPRgCE1W2qbgkPssySjIuUnfjoNk22A7+Afuh245eG2HjGOTtiBj2WTs3LzHtAW2rCJlMuDxItkOsuWg2KDYFn2GDi3Kz1RI+/dLfupLsX8X85fpfr+fn/70px36FiHXapw+fToejwdd16murubuu++moqKC5557jiVLlpDNZjn00EO56KKLOOaYY9wJ3aqqMnPmTE466ST3eNu3b2fevHlMnjyZ6urqr8yporUcKyoq6NGjB3PnzmX48OGMHz8eSZLo1atXsV7iGxsyZAgNDQ3MmzePUCjEpZdeyvDhw8tqo5+jjjqKRYsWsWLFClasWMFvfvMbTjjhhFKX1al4PB5GjBjBww8/zKBBg5gwYQK7d+9myJAhRTm+ruuk02lSqZQ7IGN4DRSfidG1B4rPl/swfaimH9XrR/P50Pwmqs9ENX0oph+17XHN50P15Z6n+/xoZu6z7g+g+X2Y1dX4a7tg+H0Y/kDbhw/D58djmnxbzZBRo0axbt06XnzxRXbv3s0NN9zA0UcfXbS+2/b/YFmWxRFHHPGl56xfv57x48cTjUbJZrMceeSRnHPOORx33HGsXr2aRx99lCeeeIJ//etfHHroofzkJz/hxBNPdJdBO/XUU1m9evWXjjt69OgO03wKhWRRW47nnXce5557LlOnTmXNmjVlNxgD8OCDDxKLxbjxxhvZvHlzWdb43nvvuQMyO3bsKMsay92YMWPYvHkz11xzDa+88gp+v79ox863qDpuWWAjyQqyYaIqMpIsI8sSkgzIIMlK7rMD2E6uBWg7yLaNbDmoNji2DTY4tgO2g+PYOJaDbJN7Xtv3KZaNYjsoDhit0aL9XIW8/PLLfPrppzz++ON8+umnRf1dzK/qnUwmueiii/jnP//Z4fGqqir23XdfLMvi+uuvZ/bs2e4q4PlFb/MikQj19fUEg0G8Xi+xWIxbbrkFwzD43ve+x5YtW9i1a5f7/CuuuIJnnnmG559/3l3n8YuKGo75WegPP/xwMQ9bVLIsEwgEuP/++0tdyh4pisLo0aMZPXp0qUvptPK/i/fdd1/Rj52fXAy5y3Zd18kkExj99yfd2IDRpx+KLIEs567NJLDk3Gi0g5QLQQckGyTbzgWlA4ptY9ugtoUjtu0+R3ZAsmxkx8kFo+0gZ2x2bv2YnvvtV/SfMU+WZfr06cONN95Y9GPnFwSWZZk5c+bQt2/fDo93796dO+64gxEjRgC4rUFVVXn33Xd55ZVX3Oe+8sorLFq0iIkTJ7q3At52220AfPjhh/zsZz/rEI6O4/C73/3OvS9dLHYrCEWQn3uXv6xOJBL4QxVUHHk8diKJFqgEw0TymmCY2IYP22OS9fiwPCaOYYLHdJ+jmD4kr4ns9SF7TWTTRDXN3CW36UPPf/b5cpfbPj8enx/N0MnEohz147NLfUq+lvx+Ltlslq5du3LLLbd0eHzdunX89Kc/pampCY/Hg23bBINB6uvrmT59Ohs3bnSfm0ql+O1vf8vGjRvxeDxEIhE0TWPXrl1cdNFFvP322x2OPX36dHw+X4f1HL/YnyomgQvCXsrPz8tPJQmFQrSEw3QbdiDrXnwSs6URf/fe4GRxkLElByTJ7Ru0cXDyA752rj0pO05u7qPtIDkOtgOS7ZB1aLv8dlCwkS1QHUjE47w6dzZdhxxAoEuXEp2JbyYQCNDS0uIuQHvxxReTzWa5/fbb3bmLH3zwAQcddJB7P3T+dsLm5uYvHW/9+vWMGTPG3aoiP5jU/rmKonDxxRdz3XXXEQqF3JFu0zS/1O8owlEQ9lJ+yTKgw5JlardedD3tHD75w+0MOGsKvr4DcNJJQMLBAYnPL62dz0fUdV8AG5DicaR0GtuGbO4JudewHSQbFCd3eR1uqGfZk4/Ta8gBXPzwIwUvCTuD1tZWampqaGlpobKykmw2y/Tp08lms9xxxx3uOS4UhHsSDof3+JgkSUyZMoUbbrgBv99Pc3MzsixjGAbxeByPx9MhIMVltSDspfyKMe1bJ/lpLrVHHc+gq37J1if/QOvmD/H07IunVx8cw4dj+MDwgdeHd8AQzEH7oQYq2P32Cj5btoTwJ1vw1nbD17M3RnUNqs+H6jXRTBNPwI8RzLV0ljw2j2Dv3kz5/f+g63pZTpv7/2GaprtbYywWczfLmj59esH1Fb+O6dOnu3+WZZmZM2e6Lcb8SuCSJH0pGEG0HAVhr+WXLMuvEZhf0j8UChEOh6k5YixWoAJp2xbW3XEDmtfH0F/dA7KGpMhYDTt5f+Y1WJKMnbR5cf37dBt+EMf88ChWzb6DeKQVf+9+DD7tbDyVFdjZDB+8/irvvvwP9FAlp98yC3+3HlR26UI4HO60sxkymYw7Wp3vU8zvGZN3+eWXM378eI499ti9nnx+1113cdZZZ+HxePj1r3+Nbdvce++9XHPNNRiG4e58mF8d6ItEOArCXvL5fO59uflNtYLBIPF4nIqKCmKxGF1GHkK4777sP+ZkEi2NrJl9B8lN6zG692TI1TMZcPtcd8FV+c5baJAl+p5xPt1PPAu/3086k6Huxed455nHkDSDIaecyTmP/JnK6mqstpWu86/bWbdmbX+TQ/sdAE877TQikQgAffr04aCDDnL3m94bAwcOxDAMBg4c6L7e/PnzufLKK93/zndtFJrc3jnPqiCUUH6pLciNuOYHFvLL/ldWVvLyv19mZ2Qn6WSagOEnceBgUkP6gSOx+NWn2adrb8YcMoaabt3pdmAPPl2+mk8/2cTAwcNobGzE5/Mx8OQJDBl/pnuLXX4VG8MwaGhooKamhoaGBgKBAIFAoMRnZe/lR/1VVSWRSLh3y+RXPILcPz6pVArLsvb6+H/96185/PDDO7REJUnC5/O5LdR8a7TQVhMiHAVhL+U78PNzKWOxGKZpkkoleX3TQv72/j9YsW45Oxt3UeutJqAG8St+7LQNWVi/4QN+NHosy95eRpfDJP6x+G8Mrld49fnfUXHRf1FR1aXDoqz5vrhwOIzX68WyLCoqKkgmkwSDwS+tJtNZ5HcCzO/nks1mSafTHQaYEonE1+5/fPjhh0kmk4wZM8b9mmVZtLa2UlFRQSQSQZIkDMNwt2Vo3+8owlEQ9lJ+4nd+WTRN09gZ3sk5j5/Hxm0baAmHcdI2ckbCDPmo9lUR0IKYshevZjKy7wgMReeNhmfRXjCYc81TNNSt4uWnf8OH74xm6GGn4fH63e0C8m/YfAuy/VJp+c/tdZYBmvyIsWmaNDU1uStzt79bRdM0xo8f/7VajpDbLmHs2M/Xu1RVlZqaGuLxeIepPO33sHGf+/V+LEH47mq/NL/t2Gxu+ohTHzqNWDRO0AjS1dsVv2SSTVnsrN/Bx1u3cuLok9inpg+7d+8i2EfnlTcXkNCyzL5wNv16DMTMJhky7GCWvngbG955jrHn3kVFl77ugg/5vU/ygwj5u0Dyb+72OstCJZFIxN0JsKqqym05tg/7a665psP3DB06FJ/Px6pVq770c8uyzMiRI3Ech3fffReAXbt2cd5557nPyWaz1NfXU1FRQTgcdluOhabyiHAUhL1kmib19fXY2KxrXcflf7mcaCLKfl32Q3EU7LSFKZv4gj726zaEz3Z+RkNzA76gxk4+4v3odqoG9ub9Dz8kZee2CEh2GcjEn83mnZfvYc3SuSz9yzUMGnksg0afT1b1oCgKjY2N1NTUEIvFqK6upr6+/j+uLFPOvF4v8XgcVVWJxWLuz/GTn/yE5cuXdxiA6dGjB+eeey7jx4+nb9++3HPPPTiOg2VZbphqmsbUqVOJRqM8+eSTPPXUU2zatMk9hiRJTJs2zV0BPD/jACg4JUqEoyDspfzS/HW7N3DJ8z9l466P0LIqm7IbcdJgp21uO/t2/vX+Cvap3Yet2z6m5yEWdZ+swtPFj5KoosEJc/bYszhs6GFEo1GqqqpIpVIcMvZKPn53Hondq1jz6koGjjwTw5fbX7mqqopYLIaqqjQ1NXW4LO2Mm2xls1l3Sk2+m8KyLC688EJmzJjhhqOu6zz55JMceOCB6LpOIpHgV7/6lds/md+IK78UYXV1NVdddRUnnngixx9/vDsxXFEUpk2b5m4Jmz9+fs/xLxLhKAh7yTAMPvi0jjP/ciaVeiVHDzwKUzJJxBKYqoegx8+jr/6Rup3rGHloT6q6VfFZrJnKrrWosk6f6hqS6TS/OO4G7KSNr8pHS0tLbs6fZHDOzA3EYjE0VcGRDDcEWlpaqKqq+vyWxbY7SzpryzGTyeD3+919pPPbs+Zbc16vl1/+8pdMnjzZ3U4hPydRVVV3EYr8iHN+8Cq/7/Xw4cNZuXIlCxcuZMaMGe6od37PmHzfZn7L1vZ7YIMIR0HYaykrzk0rf8bgPjX0Cvaif2V/vIqPP73+GFlDp1uf7tRINvvVdmFI/2FUDelCxrJpSjSi2CoH1BxEracrIbOCbDbr7knjOA6apuFIOrqR24Yhm80it71hPR6P20rKZDKoqkoqlULTtE45Edzn8xGNRt25ovmtJ1pbWznhhBMYNWqUe791KpVyH8tvlJWf+5i/rM5vopVOp6moqCCdTtOzZ0/OOeccLMti4cKF7mP5YM6HorhDRhCKwHZsrjjkUqLZMNucdTQmP0GWA/zkpOPwyxVosp8PKlYyQhlBb/8AZEchazms2/Q2Y/tM5Jg+x9PV6NlhAnI+3PIj4PnPX1zBPN+yat9a6iwDMF+UbwHnJ7Pn/6EIhUI88MADVFZWEo1GMU0Tx3Hcjbiam5upqKggHo9jGAaJRMK9rM6PQufvWIpGo6iqyjnnnMMZZ5xBMBikubmZYDDo9nN6PB73rifRchSEb8Cr+hnmPartP06gNdZCKFTB6t2LeDP+NyKJZvBIZOUIayNvEk/FuKj/rzj08DF09/ei0lft7p2cTCbx+/1EIhGCwSDJZJJQKEQsFnP70/Ij1fnn5udV5hd37azyG2x5vV6am5vRNM3tTw0EAjQ3N7t3AkmShKZpNDQ0EAwGaWpqcgd08luv5o8ZjUaprq4mFosRCoXIZrNun20kEqG6upp4PE4wmOvLzWazhafypFKpDiM65Wbbtm2Ew+GyrrGxsRHHccq6xlgsRiCwFcNo/M9PLhHbTpf1OWxtbSUWi7Fly5Z2XwTwEI4m6MOh7KONxlEd8guUOeTetHJGQcpItMRbacl9kysWi3X4/FUry+Sf09DQ4NbU3q5du2hpaSnr8xgOhztsvFdo1Z38OSi082b+Z/6q89R+k64vampq+o81plIp1EgkwsKFC//jk0slfyLLucbNmzezeLFJPL671KXsUZcu9dx889Ky2i/ni15+Ocr48eX796woSapH/4sXF75Y6lL2yNxhcnTy6ILL/peLTz/9lKd5mvSGvbtX+n9Tj0gPuPLKK51ytnHjRufBBx8sdRlfaf78+U63bsvbFuArz49Ro2Y6TU1NpT5Ve2TbtnPGGZeV/Dx91YfH0+gcPOtghzL+X7dl3ZwXXnih1H+dX2nOnDlOaGOo5Ofqq/53xBVHOJ1viEsQBOF/gQhHQRCEAkQ4CoIgFCDCURAEoQARjoIgCAWIcBQEQShAhKMgCEIBIhwFQRAKEOEoCIJQgAhHQRCEAkQ4CoIgFCDCURAEoQARjoIgCAWIcBQEQSjgWwnH/EY55cppt8y88PV15iX6hf9/39X3S1HDsaWlhbq6OiZOnMj69eupr68v5uGL4rPPPuO9995j8uTJ1NXVEY1GS11Sp2NZFnV1ddx2220899xzZb3qtPDNfPzxxyxZsoRrrrmGuro6UqlUqUv6X1PUcHz22WeZNm0a9957L9dddx333ntvMQ9fFD//+c+5++67uemmm5g0aRLLli0rdUmdTiQS4ZhjjmHo0KFs3bqVE044odQlCd+SyZMn8/e//52JEydy6qmndtwi4v+4ooXjZ599xkcffcT3v/99Zs2axUMPPYSu66xZs6ZYL/GNLV68mKFDh+Lz+Zg/fz4PP/wwr7zyimg97qXbbruNGTNm8PzzzzNu3Diuv/565syZU+qyhCJ75plnGD9+PI2NjXzwwQc88sgjzJkz5ztziV0fPtO8AAAgAElEQVS0cKypqaFnz55069aN6dOns3HjRjKZDAMGDCjWS3xjBx54IJs3b+a0007jJz/5CYsWLeKQQw7B6/WWurRO5dxzz2XZsmVcd911dOvWjb/85S+ceuqppS5LKLKjjz6aN954g4svvphx48bxwgsvcNppp31pl77/q4oWjrqu07dvX+bPn8+7777Lf/3Xf9GnTx98Pl+xXuIbC4VC7LPPPtx9990sXryY+fPn069fPxRFKXVpnUrfvn1paGjg2Wef5dprryUYDNK9e/dSlyUUWb7Bc8cdd/Dcc8/x1ltv0a9fv+9MOBZ13+qTTjqJk046ifvvv59FixaV5Um88cYbmTFjBvPmzWPJkiWlLqdT8vv9LFmyhNdee41JkyYxcODAUpckfEseeOABGhoaWLRo0Xfu/VLUcMy74oorvo3DFo3H42Hq1KmlLqPTO/bYY0tdgvC/oKamhokTJ5a6jP91YhK4IAhCASIcBUEQChDhKAiCUIAIR0EQhAJEOAqCIBQgwlEQBKEAEY6CIAgFiHAUBEEoQISjIAhCASIcBUEQChDhKAiCUIAIR0EQhAJEOAqCIBQgwlEQBKEAEY6CIAgFiHAUBEEoQA2Hw7z44oulrmOPGhoa2Lx5c1nXuG7dOrp0+QSvt/y2os3z+XbyyiuvlPV+OZbVSr9+5fv3rKpxfDt99HuxX6lL2aPgliDrYuvKchX+vC1bttDjjR5UfVBV6lL2SA/rqKqqUl1dXepa9iiTyeD1esu6Rp/Px1VXBdh33/Kt8bnndCorK8tqT58vqqxUeeyx8j2H0aiHmTNHk3jm16UuZY+Myg34Lo6U9fvFMAxurbiVrtVdS13KHj2iPoLq8/k4/PDDS13LHm3atImmpqayrrG+vp6uXbty2GGHlbqUPVq0aBGjR4+msrKy1KUU5DgOTz31VFn/PTc1NZFMvsPOneVbI0Dfvg1lfR7Xrl3L8OHDy3rvob/85S+iz1EQBKEQEY6CIAgFiHAUBEEoQISjIAhCASIcBUEQChDhKAiCUIAIR0EQhAJEOAqCIBQgwlEQBKEAEY6CIAgFiHAUBEEoQISjIAhCASIcBUEQChDhKAiCUMC3Eo6bN2/GcZxv49BFYVkWW7duLXUZXykWi7F79+5Sl/GVdu/eTTQaLXUZX2nr1q1YllXqMjq1VCrF9u3bS13GV2ppaaGlpaWox1SLebC6ujqWLl3K2rVrGTp0KCNHjmT06NHFfIlvbPHixdTV1bFx40aGDBnC8ccfT+/evUtdVgdPPfUU27dvJxKJ0LNnTyZPnozH4yl1Wa5UKsW8efPYvn07gUCAHj16cPbZZ5e6rA62bdvGggULqKurY9CgQQwePJijjz661GV1Oi+99BJbt27ls88+o3///kycOJGKiopSl+VyHIc//elP7NixA0mS6NatG+eff35RVkIvastx2bJlrFy5kv/+7/9m69atvPDCC8U8fFHMnTuXZDLJtddeyz//+U/WrVtX6pK+ZObMmQwdOpTx48dz//33E4/HS11SB4lEgvvuu4/x48czbNgwZs6cWeqSvuSDDz7g5ZdfZsaMGaTTaf74xz+WuqRO6be//S21tbVMmTKFxx9/nJ07d5a6pA5s22bWrFkceeSRHHHEEcyaNQvbtoty7KKF45YtW1izZg26rnPyySfz85//HMMwePPNN4v1Et/Yc889x2GHHcaCBQu46aabmD17Nk888QThcLjUpbluuOEGbrvtNq6//nqWL1/O/PnzmTJlSqnL6mDKlCn84he/4PzzzycUCvG73/2OX/ziF6Uuy9Xa2sq8efM44IADOOGEEzjnnHP4wQ9+wLPPPlvq0jqV+++/n0suuYR7772XRx99lMcee4wbbrihrLoppk6dyl133cVll11GY2Mjzz77LFOnTi3KsYt2Wd23b1+GDx/ORx99xIIFC3j00UdJJpN8//vfL9ZLfGMTJkzgvPPO44ILLmDs2LFce+21TJo0iWAwWOrSXLNmzWL48OHMmzePyspKzjzzTBYsWFDqsjp46KGH+NGPfsTzzz9POBxmypQprFmzptRluQKBAJMnT+bpp59m4cKFLFy4kDfffJPHHnus1KV1KpdffjlHH300t99+O4MHD2bq1KnceeedyHL5jOM++OCDDBs2jOeffx5JkpgwYULRfheLFo6SJDFy5Ei2bNnCfffdRzKZ5KijjiqrXdAkSeLkk09m9erVfPjhh3Tt2pX+/fuXXY3nnXce8+fPR5ZljjvuOEzTLHVZHRiGwY9+9CMeffRRbNtm8uTJZXcO+/fvT7du3Zg9ezbpdJpTTjmlrGrsDCRJYtKkSbz22mssWbKEESNGUFNTU1bnUZZlzjrrLJ566ikAzjzzzKKFd1EHZEaNGsWoUaNYvnw5hx12WFmdxLyJEycyfvx4/v3vf3PIIYeUupyCZsyYQWNjI01NTQwaNKjU5XyJ1+tl1qxZbNq0icrKyrLc6W7gwIHMmjWLlStXcuCBB6KqRf1V/86YOnUqsViMzZs3M2zYsFKX8yWyLPPLX/6Sbdu2IUkSPXv2LNqxv5XfmHK6lC5EVdWyDca86urqsgyd9sp597i8cpst0Rn5fL6yDMb2evXqVfRjlk/ngSAIQhkR4SgIglCACEdBEIQCRDgKgiAUIMJREAShABGOgiAIBYhwFARBKECEoyAIQgEiHAVBEAoQ4SgIglCACEdBEIQCRDgKgiAUIMJREAShABGOgiAIBYhwFARBKECEoyAIQgHSWWed5QwfPrzUdexRLBajvr6evn37lrqUPdqxYwcej4eqqqpSl7JHGzZsoH///miaVupS9mj16tWMGDGi1GXsUSaTYdmyzTQ3Dy51KXtkGE0ceGCK7t27l7qUPdqyZQtdunTB5/OVupQ9WrNmDeqOHbW88MJPS13LHgWDW7n55jeZNGlSqUvZo5dffpna2loOPvjgUpeyR/fddx+TJ08mFAqVupQ9uvjim7jllvL9XfR4WhhyzdmsvfzpUpeyR11XduXSptsZO3ZsqUvZo8cee4wf/vCHZd3gufnmm1EdRyGVKt8WTzrdhGEYZd0qM00Tv99f1jVqmkZFRQWVlZWlLqUgx3GA8v5dBLA0i1RVqtRl7FHan8ZMmmX9u2gYBsFgsKxrVFVV9DkKgiAUIrZkKyLbtmlqasI0TTKZDAAejwfHcfB4PEQiEVRVJZFIUFFRQVNTE/V1dbz6P7NpbagHwAEO+8kklj7xOI4Dtu2gek16DxvG+hUrsB1wkKjq3o1JN9xAVe/eqJqGqqpuf2IymcTn8yFJUlnuACkInYEIxyKyLItsNut+yLJMNpvt8BhANpslnUqx4ok/seD2WWTT6dxlZe7/fPLuKtLpDLbtYNkONvDBkkWkMxmyNjiahjcYYvXiJVw++3cMP+ZoHMdBkiT3NbPZLKqqinAUhK9JXFYXUSKRIBgMIkkShmGgqiq2bWPbNrFYDMMwkCSJYDDIkof/wCu3/hLVymAoEl5VxqspeFUZ3bHwtvuaocjoko2hKnhUCQ8OptegW999eOxX/83Gt95ClmVSqRTJZBJVVYnFYm39eIIgfB0iHIvINE1aW1uRJIlkMum23lRVxe/3k0wmkSSJt+c/wxv3/AZTU/Cqn38Yqoyh5sIw92cZQ5EwVAlDUfCoMoYio0oO6dZmSKfo3q8vj//ql/zrb3/H6/Xi8/nIZrMEAgFkWfz1CsLXJS6ri6i1tZWqqiqSySSmaWJZltv3GI/H8fl8pBIJPnn1H6iZBLoq47RdS0uSlOtjxMF2wHKk3GfbIevYZC1QbUgjI9kO2WSS3R9toqpbD8xgiO11dbSGw0iyjGEYNDU1UVVVhaqKv2JB+DpE06KIgsEg9fX1yLJMPB4nm82iaRqaplFZWUksHmfdU4+ybdEreOVcy9CnKfh0JdeK1GRMVcGrKfg0Ga8qY2gKhqri0RQ8WlvLUpXRFRnFyrBh2RKqaqr592uvsn3tWioqKshkMtTU1KAoSqlPiSB0WiIciyiZTBIIBHAcB13XkWUZy7KwLCsXli1NfPb2cjyqlOtf1HJB51Wl3Get7UOV8ShK7pJaoe1DwqPIeBQJjyzhUUBTZGQny7rXX8Or6yx/8QUira0oiiL6HAXhGxLhWETpdBrDMHAcB0VRkGUZ27ZxHId0Ok1q9y52vvl6ri+xLQRNVcGrqrlWopoLv1yfo/R5/6PS1veo5FqMerug1GSFVGsYr6Hz1j/+wc6PP0ZRFDKZjAhHQfgGRDgWkd/vJxwOuwMymUzGDUlT03j9ygvcwDMVGbOttWhqbX9W2gZnNOXzARlNQVeVXCjKuVDUVQlVltFlBY8MqiJTt3wZBx99NLMvnkY6ncbv94sBGUH4BsS7p4gikQg1NTVALig9Ho87KLPlrTeR41EMVcbUFAxFwatKeNtahl5VxtSktpCU3NFrjyJjyBIeRUJXwCOTC0VFQlPIhaQiIWUzrHjmKSprqvl47Vrq6+vdeZWCIOw9EY5FZBgGra2tAO5UHlmWURSFrfP+B4/i5PoWDd3tW3TnMuan8eQHXRTJvcTW20JSV2VUVUKXQVMkVFlCUyR0TcUwDKxkCjuV4eUH/0AwGBQDMoLwDYhwLKJ0Oo3X68VxnNyN6219jpJjY7fUoyq5fkTTb+bCUZHb5ji2jUyrUrs+xrZAlNs+5y+rZRlNltEk0GUJRc7Nx1IARZaoe/MNLGziyQS2bZf6lAhCpyXCscjyt+u1v21v8+O/x27YiakomKaBLxRqG61u63Nsu9Q220auPSp4VBmPKqOruRDUFDn3IUsobX2OqiyhKzIyDr6gD6/Xi6rKrP77y7zxxJOlOgWC8H/CdzIc0+k0L730UtGPq+s6sVgMSZJIp9NYloUsyyS2b0e1MuiqjDcQwBeqwFddi6+6FtP0uiPVRtuAjMdtNUrosoymSGgyaJKMquRajaoMiiShIKHIEh7DwBvwITsOqWgrhsfzrQ/IrFq1iu3bt3+rryGUXjgcZtGiRaUu4yvV1dWxYcOGoh7zO3f7xJw5c/jXv/7FQQcdxDnnnMN1111HsVZCj8fj1NTUEIlEMAyDbDZLJpPB69FRZQmP6SPQtQeaaaIFQyiSg7VrG5LqAV0nHQmTatgNyEiSg02u9Wk5MpbjYMmQdRwUWUKRFUI9upLKZAn5/KAb+BwJ3Rdk68aNbH5/DYloFF8wWJSf7Ys/58UXX8yAAQNobm5GkiTuvffeor+OUHq33norn376Kf3792fu3Lnccccd9OjRo9RluWzbZurUqe5AaENDAw899FBRGgbfqXBMp9O89dZbnHXWWYwePZqdO3eydetWhg0bVpTVa0KhELt378Y0TWKxWK7VuOZtGle8jr+mK6EBg9A9nlyfoSKhSg5IPZE8JmgaVrY7md4DSSXjtNStg2wWR3LQZQc7K2PJNpoFVYOGYuk6KcvCklSykkTGckhZNt5QJY6msvTPTzLhyqu+lXBsbm5m+/bt3HrrrciyzBlnnEE8Hsc0zaK/lrD3irUSUzKZZOnSpcyaNYt99tmH6667jp07d9K9e/eyWe0pFovx/vvv8+c//xnDMDj99NOJxWIEAoFvfOzv1GX1K6+8wsiRI/njH//IrFmzmDZtGi+99BKRSKQox7csC6DD8mGphnrIpAnuNwxPqBLd50f3+9F8PnR/ALNbb8zKagx/AD0YwlNVjbdbD6p/eCw1R4yl61Fj6Xb0j+h59Dh6H308fY85nkDPHphVNWTicQyficfvx+MPYASCeIMheg85gFBtLU5bPcV20003MWnSJC688ELq6+u58cYbueeee76V1xL2XrEm/z/++OP8+Mc/5qabbuKRRx7h5z//Offcc09ZDfTdfPPNXHXVVUybNo3333+fO++8k5tvvrkox/5OtRxPOukkzj33XAYOHMgll1zClClTmDFjBsEita4sy3JbT/kFH7JWhsCg/fBU1eRGlmUFVQZVyQ2qaLKEjETWccB2wLaxbQfN+vy/HdsBG7Bs5NxqFEg2dB1yAFnbRrEdFAsU2yFj2yiW/a1upHXPPfcwatQo5s6dy7p165g1axZ1dXXf2usJpTFlyhSOPPJITjvtNMaMGcM555zDE088UVZTxO666y769+/PAw88QDqd5uKLL2bz5s1FOfZ3KhwBrrvuOrZu3cqtt97KtddeW9RNsbxeL7t27SIQCJBKpVAUBcMwkD0GsteHIoMsy8gyyLKU+1BkJAlkGyTbQbYdFNvBtiwUu20lcNtuC0cHHAc7t2wPkm23fZ+NbDkoto1s2yi2hPIthqPP5+N3v/sdixYtomfPnjz44IPf2msJpXXnnXeyZcsWHn30UX7961/Tq1evUpfUgSzLzJ07lzVr1gAwd+7cog1EfufCcdiwYQwdOpSjjjqqKP0S7YXDYWpra0kkEvh8Pmzbpj6VwUpbyLqBrKtIsgwSSIoEEtiyhESukejk1ixDskFuayUqjoPtWDiW1Pa409aCBNm2kRyQLAvFgYwNsmWRzjrIqgbfUr+QpmmMHTuWI444osP2DML/PYcccggHH3wwJ510UllupSpJEsceeyw//OEPgdy2JMXynQtHyJ3QYgcj5AZkduzYQSgUIhqNous63Y8aS8uyV5AVDcVrIskSSBKODLaUC0iQcADHtpEcCcm2kRwH2XGQLXIBaedahpLd9jyb3HPaQjLr5IJUteCTVe8QqKrC/y3vNOj1er/V4wvlQVGUsgzG9ooZinnfyXD8tsTjcSoqKnAcx71TBo+XwL7DaalbS4/jT8GOR3LhKEnYUm7PGCQJHAfHcXAcCXDaAjIXgJJNLhid3EK4jg1y2yV4xnGQHBvZlrBth3Qkwtb3V3PcJZcSqq0t8RkRhM5LhGMRJZNJd56jrutYlkU6nab25DN5/+pzcf45n33Gn4sda3XDUc7FY67lSG418PxmWxKgOIBlIbXtRJh1HFQnN80g30eZdWwUO7dx1/KH/kDXfgM44OgxYskyQfgGRDgWUTAYpKGhAcMwiMfjyLKMpmmoldUc+scXeO+nE9mx4Dm6n3gGsqKCY+FksrkUdBwkRUXWPUhObhsEWdWxLJtsvBXd68dybMhkkSwL28mFo4OE4jiEGxt58b67CfXozWV/mofp95XVqKIgdDYiHIuotbWV6upqotEopmli2zapVApJkkhkLIbd8RBbnphD8/vvoHhNjNpuBAcPxZFygzKJbR8T21SHbWfZ8e5q/rXsdfY/eDS1Q4YiySqZTBpvl55U9B+EhYNj2Wx48w3CjU2kM1n6H3IYp91wM4bppaWlherqarGHjCB8TeKdU0Q+n4+WlhY0TSOZTAKfz3f0+/2kdZ2+l95Ew6rl6JkE4d27aHp2HumWZiqGHUho5PeQolFSiQSxfvuyfOW/OOCYk+gxcDD1G+vwe71I/ko+XPgyn6xdjb+2O2b/fek2dAQ9DziAroMGu6uAh0IhsditIHwDIhyLKJlMEgwGicfj7kK32WwWx3FIpVIYXoOWaAv+gw4iGoniGyaxffOH1IaqSTggBSswRv2ArhWVVLc2M2zHR3hDIbSe+zBg4BCi0SjBYBC9W3eGnn0eGcumukdPkGWy2SzpdBrIrSsZDoeprq4WASkIX5MIxyKS20JKkiR375jcPagOKzavYFdsF79+9tdsb/iMoOynyqhGR6exoYFUPEMymuCS0y7hmO+PIWxuY8WWf1L31j+YPvMhhgw7DEVRsG0bf00tHo8nt9J325qR+dcH3D1syuX+V0HojEQ4FpFhGCQSCVRVJZPJIEkSG+o/5KX3X+J/Xv8fGpoaIO0QUAP07zoAXdIxZZOBXQag2hqSBR9s+oDXdj5Jj6penHXCz9i05HkWPvtbuna7l+qufUin024wKopCOp1GkiQkSULXdeDz2xhFOArC1yeuuYooFosRDAZxHAfDMNgV38mFf76Q3y/5Pbqs0be6L0O6D0GXdTZu/5CGpga6VHSh0l9Fz9oemIZJpGoriVaH/z71XiacPIV99xtOy84PeGnulax9+x/uSLiu62QyGUzTdEMxkUgQj8dRFIVIJFJWCwQIQmcjWo5F5C5Z5jdZv/MDfvSHsXgcg+6BbuhoGHjxySYDqweiZGWWr16OIil0ra3h6UXzOPjE/oRXZtkdTjCg975IksSR42fwg+Mm8Nc/TGPh45ciy9B/yMHE4zKmadLU1JSbLqSq+P1+FEUhGo1SU1Mj+hsF4RsQ754iymQyaLrGim0rOP3J02mINmJbFhVGiEw6i0fR2b/XAdQGahm8zxB+OOowPo6v5cVdjzHimMGsrPuUeMBi4riJaGrufuVAsIIufUZzxImXU2GmWPnsRbz68CQ0RcWyLHRdd0Mwk8mQTqdz60gmEmISuCB8A6LlWES2bfNh0yZufX0WdtZhQPUAPLZONBnD1E1Mzcenuz/ls9gWPF36sbX1A3oNrWLXThkLD/t06cGwriO47sgbAdw1IZEUeu4/Fl+oikhrhKouPXDauhNlWXb7HPM1tP9vQRC+HhGORZQgzrS/X0iVUcWJ+49jSJchbP5sK08t+zMD9w3h8WXZuGYHSs8sSsUAfvCDw5BUlZCvK93NfbDSDifudxqGnBtw0TSNaDRKly5d8AS6s+/3JtPU2EgoFCIcDrt71miahqZpbisyFovh8/lEQArCNyDCsYjq4x/z42MORJIldqbeZ7OzkWxfh/P6/oAaT09kDHr1raPG6EGVpxuqpPHvHW9TFajEI2n8eORF9DB74/F4cByHbDZLbW0tsVgMXddpamzENE0ikQher5dUKuUOAFmWRSwWA3IbfTU3N1NRUSHukBGEr0m8c4poYMUIzk/9BiOg83bz3+hi9CErJ/koupod6Y9pSdajmFm8Xo2m9Da6aL0YN2ACWxo3cdmhN5JO5ab/RCIRJEnC4/HQ2NhITU2NO8iye/duqqqqaGlp6XBHjq7rmKaJqqrubYyCIHx9IhyLSFEUqqur0TSNY73n5L4o2/TwDaQ5uwvHdlDRAYlEJo6pBBkQPACpn4KqaEieXP9hfgK3LMvouu6ORAPubYHBYBBFUaiqqnKfm+9rzD9XEISvTxo3boITi5XPVotfpChpQqEoul5V6lL2KJttpaJCLevd93bv3k11dXVZr9SzbdtnqGr5/i6CRUb+DK1L+a58bsdt/Fl/0fZF+jY0NTXh9/vd+bnl6LPPPkONRnuzdGn57hwXCn1Er16LWLduSqlL2aP+/f/K44935Xvf+16pS9mjWbNmcemll1JRUVHqUvboiiuu4P777y91GXvU3NzMnDlz+MUvflHqUvZo+fLlNDQ0cMopp5S6lD168MEHOeaYYxgwYECpS9mjq666Kn9Z3RlGNcu/xs4wOlyuNebnZJZrfe2JGouj3GsUk8AFQRAKEOEoCIJQgAhHQRCEAkQ4CoIgFCDCURAEoQARjoIgCAWIcBQEQShAhKMgCEIBIhwFQRAKEOEoCIJQgAhHQRCEAkQ4CoIgFCDCURAEoQARjoIgCAWIcCxT69at49lnny11GV/p2WefZe3ataUu4yvNmjWLeDxe6jL2yHGcsl4fEmDHjh3MmTOn1GV8pcWLF7NkyZKiHlOEYxk68sgjuf322/noo48YNGgQ4XC41CV10NrayqBBg9i0aRN33HEHP/zhD0td0pcsXbqUIUOGMGzYMMaMGcNVV11V6pK+5K677mL48OEcd9xx7L///jz11FOlLulLzjrrLC688EJ0XWfw4MF89NFHpS6pA9u2GTp0KC+99BJ//etfGTp0KLZtF+XYIhzLzNq1a+nZsyeTJ0/mjDPOYMKECaxcubLUZXWwcuVKjjjiCEaNGsU999xDv379yqoFmclk2LBhA2effTY+n49nnnkGx3HYvn17qUtzNTY2Eg6HufrqqzEMg3vvvZft27cTjUZLXZpr06ZN+Hw+Lr/8cg499FCmTp3Ku+++6y5MXA7eeecdRowYwbhx45gxYwaHHXYY77zzTlGOLcKxzGzYsIF9992XZcuW8cknnzB06FDWrFlT6rI6WLNmDb1792bp0qW0tLSw//77U1dXV+qyXNlslm3btuE4DkuXLkXTNCorK9mxY0epS3M1NzcjyzKffPIJK1eupGvXrkQikbLqAti6dSv77LMPb731Fh9++CH77rsvGzZsKKtwXLNmDYMGDWLp0qXs2rWLESNGFO39IsKxzJx++uk8+eSTxGIxtm3bxtVXX80FF1xQ6rI6uOCCC5g9ezYDBgxgzpw5zJ07lzPOOKPUZbm8Xi+HH344jz/+OKeccgqTJ09m06ZNjBo1qtSluQYOHIhlWfz973/nxBNPZNKkSfTs2ZMuXbqUujTXsccey6JFi/joo48wTZNLLrmE008/HVkun9g4//zz+f3vf4/f7+e1117jlltu4fzzzy/KscXWrGVo1apVrFq1ivfee49NmzaV3U5yoVCITZs28cgjj3D88f+vvbsPiuI8wAD+LHB3cIhgoiMWjWIkJINYp4qKRKFoG8mopbExJVYwooLVRCExSQWtkwhqsDSj0zEVLYqQRI2RGKOd+JEPQ1CCRkFM8fxAAyMIHOgBBxzc9o8MTJA9sPXkXeX5Of4hnLsPt3cP7+7dve80rFq1SnSkTkJCQpCfn4+4uDikp6ercmGxhIQExMfHY+HChfjmm2/g4uIiOlInn332GUpKSrBr1y4UFRXBzc1NdKQOHBwcYDAYcOjQIQCAwWCwW3mzHFWob9++CA0NRWhoqOgoiiRJgoeHB+Li4kRHsUmj0cDDwwPp6emio9jk7OwMZ2dnVb8roU+fPhg5ciQ2bNggOooiSZLg7u6OiIgIu29bPeNjIiIVYTkSESlgORIRKWA5EhEpYDkSESlgORIRKWA5EhEpYDkSESlgORIRKWA5EhEpYDkSESlgORIRKWA5EhEpYJj6A3sAABUPSURBVDkSESlgORIRKWA5EhEpcJKkVmi1NaJz2KTRmODo2KTqjI6OZtTX16OmRr0ZLRaL6lYxvFNra6uq78Nbt27BYrGoOmNDQwPMZrOqMzY1NaGurk7VGVtbWyE988wLcnX1SNFZbNJo6uHnV4WhQ4eKjmJTeXk5zp3TobGxn+goNvXrdxGBgd7QaDSio9hUWFgIf39/0TFsslgsKCkpgY+Pj+goNhmNRjQ3N8PT01N0FJtKSkpwYcAFWFwtoqPY1L+wPzBp0jIZkFX7193dIG/dulVWs/3798uent8Kv6+6+jt27Nuy0WgUfVfZZLVa5aVLl4qO0aXq6mo5KSlJdIwuffPNN3J2drboGF167733ZHeDuwwV/5n8ymSZ1xyJiBRwgS3qltVqxaVLl9DS0gJJkjBixAg0Nzfj+vXrkGUZzs7O8Pb2hiRJoqMS2Q3LkbplsVgQGBgIo9EIjUaD9evXo7KyEhs3bkRLSwv8/PxQUFDAcqSHCsuRunXz5k3U1dUB+Kko33jjDQBAS0sLgJ9exa2ursaAAQOEZSSyN5YjdauhoaHDv9tKsY3VakVTU1NPRiK67/iCDHWru9Nlnk7Tw4jlSESkgOVIRKSA5UhEpIDlSESkgOVIRKSA5UhEpIDlSESkgOVI3brzTd93kmUZra2tPZSGqGewHKlLzc3N2LRpU5cFaTQakZGRAYtFvfPzEf2vel051tfXo6ysDFFRUaipqeETGj99Xrqqqgq1tbWdvufk5IRz587BarXa/P+NjY0wGAxwcur8adTq6moYjcZuR5/21jZj90svvYTS0lLU19f36P7vhtlsRnV1NWbNmoWamhpVfgTTZDKhsLAQr7/+OmpqanrVGUKvK8fFixfjpZdeQlxcHMaNG4djx46JjiRUXV0ddu/ejSeffBKhoaEoKChAc3Nz+/cdHBzg4ND1w0SSJDg4OHT4GKHZbEZeXh78/PwwYcIEHD58GI2Njfft57jTF198gYCAALzyyiuIjo7GokWLemzfdyspKQlhYWHYsGEDJk+ejIyMDNGROpk+fTpSUlIwdepU+Pv7w2AwiI7UY3pVOebn52P48OEIDAzEmTNnsH37duTm5sJsNouOJoQsy8jLy8OaNWtQXV2N77//HnPnzsXx48fvaYTQ2NiIjz/+GLNnz0ZFRQUMBgNWr16NK1euQJZlO/4EysxmM3JycvCnP/0J2dnZ2LlzJ3x8fJCfn3/f93232kbaYWFhOHjwIDIzM1FWVoabN2+KjtbuyJEjCA0NxbBhw1BXV4ctW7bgo48+6vIs4mHSq8px0KBBqKmpgb+/P0aPHo1r165h8ODBiqeDvYVGo+kwMiwsLMTy5cuRn5+Ppqam/7nMWltbceTIESQkJOD69evtX3dycoKjo6PdcnfFyckJQ4YMgSRJCA4ORnNzM4xGIwYNGtQj+78bjzzyCKxWK4YNG4Zx48ahvLwcbm5ucHV1FR2t3fDhw1FSUoLAwEA8+eSTKC4uxlNPPdVrJhrpVeXo5eUFR0dHpKSkoKysDMnJyXjiiSdUvejU/SRJEgIDAzFz5kxotVoAP40mi4uLERoaij/+8Y+K1yFtqaqqwpEjR/Diiy/i2rVr7cXq6uqKefPmwcfHp0eeWBqNBr6+vvjggw9QV1eH2bNnw8HBAV5eXvd933fr0Ucfhbu7O1JTU9HY2Ii4uDh4eXmpqhwff/xxNDQ0YNOmTTh58iTS0tIwevToXlOOvW7IlJqaCrPZjNTUVPzwww+i4wjn5OSEjRs3QpIkpKamtp8yNTQ0IDs7Gx4eHjAajV1uQ5ZlXL9+HXPmzMGRI0c6jDb1ej3Wrl2LJUuW3Nef406TJk3Cf/7zHyQnJ+P48ePQ6/U9uv+78eqrryI+Ph4JCQm4cOGC6DiKdu/ejfLycmRnZ6O4uFh0nB7V68oRAFxcXJCQkCA6hqokJydDkiSkpKR0+HpmZuZdXWM6ceIEZFnudBq+fv16LF261K5Z/xcrV64Utu+7IUkSkpOTRcfokqenJ2JjY0XH6HG96rSabNNoNPjrX/+KuLi4DtcgW1pa7qocW1paOryI06dPH2zZsgWxsbG95jSMHi4sR2rn6uqKdevWISYm5p5epNLr9Vi5ciWio6N77fVcevCxHKkDrVaLzZs3/1+nUZIkwdHREatWrcLrr7/eq98FQA8+Pnqpg7Y3dK9btw7+/v7YsWMHTp482e1behwcHBAWFoYXXngBERERnd4UTvSgYTlSJ5IkwdXVFdHR0QgICEBMTAy+++47m7d3dHREWFgY/va3v2HEiBGQJInFSA88nlaTorZT5NGjRyMnJwdTpkyxedsXX3wRn3zyCXx8fDhipIcGy5G6JEkSnJyckJaWhsmTJ3coPkmSMHPmTGzevJmjRXrosBypW2azGZGRkbh8+XKHa4+yLOP8+fOIiorq8Vl3iO43XnOkLlmtVpw4cQKnTp1SnN7typUrMJlMOHPmDMaNG8fRIz00OHKkLrW2tiIhIaHLeS8rKyvx7rvv9qq5/ujhx3KkLhkMBphMpm5vV1FRgbKysh5IRNQzWI7UJYvFclfXE+/2dkQPCpYjdWnkyJEYMGBAt7cbNmwYvL29eyARUc9gOVKXrFYrwsPDodPpbN6mX79+CA0N7TUzRFPvwFerqUsajQbx8fHw8PDAn//8504fI5QkCRkZGZg2bRo/S00PFT6aqVtarRYLFixAS0tLp7kHt27dimeffbbbRbiIHjROGk09PD1zReewSa+/gRs3biA3V70Zr127Bg+Pu19OQARn5xqcPn36nqbhHzNmDPbt29fp66dOnbqXaO0aGhpUfZzr6upgNBpVnfHixYswmUyqzlheXo5HCx+FS6WL6Cg2OdU7wWnIEAtefrlCdBabqqqMuHSpARUV6s1oMpkQGwsMHarejEePNqGyshJ1dXWio9jU0tKi6uPc0NCA75q+w/6K/aKj2OR2yw3P1z+v+vtxpXElHpUeFR3FpuyWbDh5eHggPDxcdBabLl26BFmWVZ0RAAYOHIjAwEDRMWw6f/48pk2bhn79+omOokiWZRw7dkzVx9loNCK1JBVXwq+IjmKTZ44nRlaNxO9+9zvRUWyqqKhAcHAwRowYITqKTV988QVfrSYiUsJyJCJSwHIkIlLAciR6yHBmJPtgORI9ZLpb74fuDsuRiEgBy5GISAHLkYhIAcuRiEgBy5GISAHLkYhIAcuRiEgBy5GISAHLkYhIwX0px1u3bqn6XfqyLOP27duiY3TJYrHAbDaLjtEls9nc5XrWanD79m1VPxYfBK2traqeBxQAmpqa0NTUZNdt2nWZhNLSUhQVFSEzMxNz5szB448/Dh8fH3vu4p4VFhaipKQEn3zyCZ5//nmMGTMG/fv3Fx2rg6+//hoXL17Ejz/+iIkTJyI0NBQajUZ0rHYWiwXHjx9Hbm4uvLy84Ovri8mTJ4uO1UFVVRVOnz6Njz76CDNnzsTQoUMxatQo0bEeOHl5ebh69SpOnTqFZ555BkFBQejTp4/oWO3a5gEtKCgAAIwaNQpTpkyxy+fL7Tpy/Pe//42tW7ciJSUF+/btw44dO+y5ebt45513kJOTg8TERKSkpCA/P190pE5iYmKg0+kwZcoULF26VHW/tevr67FkyRKEhobCxcUFixYtEh2pkzNnziAlJQUJCQnIzc3Fhg0bREd6IK1YsQI3btxAVFQUEhISUFpaKjpSB1arFdHR0fDx8cGIESMQHR1tt1Uw7VaO169fx4ULFzBkyBBER0djw4YN0Ol0yMvLs9cu7tnBgwcxduxYGAwGvPvuu9i2bRv27dunqlPspKQkrF69Gunp6bh8+TL27t2LuLg40bE6iIuLw1/+8hesWbMGTz31FFJSUrB27VrRsdqZTCbs2bMHQUFBmD9/PuLj4zF+/Hh8+umnoqM9UNLS0jBv3jwcPnwYhw8fRmZmJpKSktDa2io6Wrv4+HisW7cOf//736HVapGZmYn4+Hi7bNtup9Vtp1dGoxGrVq3C0aNH0dzcjF/96lf22sU9++1vf4uYmBhER0dj/PjxSElJwYwZM+Dm5iY6Wrv4+HgEBwcjIyMDHh4eiIyMRHp6uuhYHSQlJWHOnDnYsWMHJEnC4sWL8dVXX4mO1a5Pnz4IDw/HsWPH8OGHH+KHH37A6dOnERsbKzraAyUyMhIzZsxAcnIyHnvsMbz22muIj49X1UqTSUlJ+PWvf40PP/wQzs7OeO6553Ds2DG7bNtu5ejo6AhfX19s374du3fvxsmTJzFjxgxVrWWs1Woxfvx47N27FwaDAWVlZRg2bJiq5r9zcXHB008/jS1btqBfv37w9PSEh4eH6FgdeHh4YMiQIUhPT0dtbS2CgoLg4qKeleQkScLQoUNRVVWFDz74AGfPnsWECROg1WpFR3ug6HQ6BAcHIy0tDcOHD4csyxg4cKCqni96vR6//OUvkZaWBlmW4e/vD71eb5dt27W5QkJCEBISgn379mHnzp2quhPbxMbGYv78+fj888+xbNky0XEUpaamoqysDDdu3MDYsWNFx+lEr9cjIyMDp0+fhqenJ7y8vERH6sTf3x+7du3CwYMHsXjxYhbj/ykhIQG3bt3C999/jzfeeEN0nE4cHBywbds2FBcXAwB8fX3ttu37MqybNWvW/dis3Wi1WkyfPl10jC55eXmpsnR+bsyYMaIjdEvtx/lB4O7ujpCQENExumTPUmyjnosHREQqwnIkIlLAciQiUsByJCJSwHIkIlLAciQiUsByJCJSwHIkIlLAciQiUsByJCJSwHIkIlLAciQiUsByJCJSwHIkIlLAciQiUsByJCJS4FRVVYW0tDTROWyqra1FaWmpqjNevnwZer0e58+fFx3FpmvXriErKws6nU50FJuMRqOqj3NjYyP6lvSFX5qf6Cg26W/ocdJ8Ejdv3hQdxaaioiKYTCa4u7uLjmJTdXU1nNzc3FQ9y2/bUpBqzihJEh555BH4+/uLjmLTlStXMHHiRFUtJnan/Px8VR/n27dvo7y8HPNC5omOYlNBQQFqa2tVt474zxmNRowZMwaDBw8WHcWm06dPw0mn08HHx0d0FpskScKlS5dUnbGoqAgDBw5UdUZXV1d4e3ujX79+oqMokmUZWq1W1feh0WiEq6urqjPevHkTTk5Oqs7YtkDbiBEjREexSafT8ZojEZESliMRkQKWIxGRApYjEZECliMRkQKWIxGRApYjEZECliMRkQKWIxGRApYjEZECliMRkQKWIxGRApYjEZECliMRkYL7Uo45OTmQZfl+bNouWlpacOrUKdExulRdXQ2DwSA6RpcMBgOqqqpEx+hSXl4eLBaL6Bg2ybKMnJwc0TG6VF9fj4KCAtExulRaWto+96u9ONlzY/n5+di/fz+cnZ1x6NAhhISE4De/+Y09d3HP9u7di3PnzkGr1eLAgQOIiorCE088ITpWBxs3bsTt27fh4OAAi8WCxMREuLi4iI7Vzmw2Y+3atdBoNLBarXBzc8OKFStEx+rg0qVLSE9Ph06nw4EDBzBq1CjMnj1bdKwOjhw5gi+//LL9+RIeHo6AgADRsTpIS0vDtWvXoNFosHv3bixfvhwDBgwQHaud1WrFW2+91T4YkyQJq1evhoPDvY/77DZylGUZZ8+ehdVqxbJlyzBo0CB8+eWXqhpByrKMTz/9FP7+/nj55Zdx8+ZNXL58WVUZrVYrMjIy8Pvf/x7z5s3D0aNH0dDQIDpWB42Njfj8888RFRWFWbNmISMjA1arVXSsdrIs48qVKygvL8fSpUsxevRoHDhwQFXHWZZlfPXVVxg4cCCWLVsGADh79qzqMmZlZWHq1KlYtGgRCgoKUFlZqaqMVqsVe/bsQUREBCIiIrBnzx67PRbtVo4lJSUoLCyEyWRCWFgYIiMj4ezsjG+//dZeu7hnH3/8MSZMmIB//etfWLFiBd5++228//77uH37tuho7RITE7F27VrMnz8fhw8fRlZWFhYtWiQ6VgcLFy7E8uXL8dxzz6GxsRGbNm1CQkKC6FjtTCYTMjIy4OXlhalTpyI0NBRBQUHYt2+f6GjtcnNzodVq8e2332LOnDl49dVXcf78eVy9elV0tHabN29GbGws3nzzTWzZsgX/+Mc/kJiYqKpfhDExMUhOTkZERAQuXryI999/HzExMXbZtt1Oq729veHv749Tp07hwIEDWL9+PSRJQlBQkL12cc9mzZqFuXPnYtq0aYiIiMCSJUuwcOFCVS30k5ycDD8/P6SmpsLT0xPh4eE4ceKE6FgdbNu2DUFBQcjKykJFRQXi4uJw4cIF0bHa9e3bF5GRkXjvvffw2WefYdeuXcjLy0NWVpboaO0mTpyIQ4cOYfjw4Xjttdfw5ptvIiAgAMOHDxcdrd0rr7yC4OBgLFu2DAEBAZg7dy7++c9/wtHRUXS0dlu3boWvry927twJWZbxhz/8AcXFxXbZtl2vOU6aNAkA8NZbb8Hf3x+jR4+25+btIjo6GsXFxXjnnXcQFhaGkSNHio7UyerVq1FUVITc3FwsX74cer1edKQOXFxcEBcXh+zsbLi5uWH16tWiI3Xi5+eHZ599FikpKfD19cWCBQtER+okPDwcZ8+exZo1azBu3Dg8/fTToiN1smLFCpSUlGD79u2YO3cuPD09RUfqwMHBAYmJifj6668B/HTmZY/rjYCdy9HX1xe+vr64evUqhg0bBkmS7Ll5uwgJCcGkSZNQVlaGxx57THQcRS+88ALq6+vR0NCgqovfbXQ6HRYsWIDKykro9Xq4urqKjtSJl5cXFixYgOvXr8PLy0tVo502Y8eOxZgxY1BSUgJvb2/RcRRNnz4dzc3NqKqqwi9+8QvRcTqRJAnz5s1DbW0tgJ8W77IXu5ZjG7Ue6DaOjo6qLcY2rq6uqiydn1Njcd9J7cdZkiTVP1+0Wq0qi/Hn7FmKbfgmcCIiBSxHIiIFLEciIgUsRyIiBSxHIiIFLEciIgUsRyIiBSxHIiIFLEciIgUsRyIiBSxHIiIFLEciIgUsRyIiBSxHIiIFLEciIgUsRyIiBdKsWbPkwYMHi85hU1NTE0wmE/r37y86ik21tbXQaDSqnpy2vLwcAwYMUOWM2G1+/PFHDBkyRHQMm1pbW1FZWam6pQJ+rr6+Hi0tLapaF+lOVVVVcHNzg06nEx3FptLSUvwXmMSEkM+cmm4AAAAASUVORK5CYII=\" y=\"-9.76814\"/>\r\n </g>\r\n <g id=\"matplotlib.axis_1\">\r\n <g id=\"xtick_1\">\r\n <g id=\"line2d_1\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m933b46cce6\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.678579\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_1\">\r\n <!-- 0 -->\r\n <defs>\r\n <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n </defs>\r\n <g transform=\"translate(30.497329 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_2\">\r\n <g id=\"line2d_2\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"72.786493\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_2\">\r\n <!-- 50 -->\r\n <defs>\r\n <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n </defs>\r\n <g transform=\"translate(66.423993 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_3\">\r\n <g id=\"line2d_3\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"111.894406\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_3\">\r\n <!-- 100 -->\r\n <defs>\r\n <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n </defs>\r\n <g transform=\"translate(102.350656 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_4\">\r\n <g id=\"line2d_4\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"151.00232\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_4\">\r\n <!-- 150 -->\r\n <g transform=\"translate(141.45857 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_5\">\r\n <g id=\"line2d_5\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"190.110234\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_5\">\r\n <!-- 200 -->\r\n <defs>\r\n <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n </defs>\r\n <g transform=\"translate(180.566484 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_6\">\r\n <g id=\"line2d_6\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"229.218147\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_6\">\r\n <!-- 250 -->\r\n <g transform=\"translate(219.674397 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_7\">\r\n <g id=\"line2d_7\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"268.326061\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_7\">\r\n <!-- 300 -->\r\n <defs>\r\n <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n </defs>\r\n <g transform=\"translate(258.782311 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_8\">\r\n <g id=\"line2d_8\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"307.433975\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_8\">\r\n <!-- 350 -->\r\n <g transform=\"translate(297.890225 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_9\">\r\n <g id=\"line2d_9\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"346.541888\" xlink:href=\"#m933b46cce6\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_9\">\r\n <!-- 400 -->\r\n <defs>\r\n <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n </defs>\r\n <g transform=\"translate(336.998138 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"matplotlib.axis_2\">\r\n <g id=\"ytick_1\">\r\n <g id=\"line2d_10\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m0c782aae81\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"10.999219\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_10\">\r\n <!-- 0 -->\r\n <g transform=\"translate(19.925 14.798438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_2\">\r\n <g id=\"line2d_11\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"50.107132\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_11\">\r\n <!-- 50 -->\r\n <g transform=\"translate(13.5625 53.906351)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_3\">\r\n <g id=\"line2d_12\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"89.215046\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_12\">\r\n <!-- 100 -->\r\n <g transform=\"translate(7.2 93.014265)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_4\">\r\n <g id=\"line2d_13\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"128.32296\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_13\">\r\n <!-- 150 -->\r\n <g transform=\"translate(7.2 132.122179)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_5\">\r\n <g id=\"line2d_14\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"167.430873\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_14\">\r\n <!-- 200 -->\r\n <g transform=\"translate(7.2 171.230092)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_6\">\r\n <g id=\"line2d_15\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"206.538787\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_15\">\r\n <!-- 250 -->\r\n <g transform=\"translate(7.2 210.338006)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_7\">\r\n <g id=\"line2d_16\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"245.646701\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_16\">\r\n <!-- 300 -->\r\n <g transform=\"translate(7.2 249.44592)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_8\">\r\n <g id=\"line2d_17\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"284.754614\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_17\">\r\n <!-- 350 -->\r\n <g transform=\"translate(7.2 288.553833)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_9\">\r\n <g id=\"line2d_18\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m0c782aae81\" y=\"323.862528\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_18\">\r\n <!-- 400 -->\r\n <g transform=\"translate(7.2 327.661747)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"patch_3\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 33.2875 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_4\">\r\n <path d=\"M 359.4475 336.76814 \r\nL 359.4475 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_5\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 359.4475 336.76814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_6\">\r\n <path d=\"M 33.2875 10.60814 \r\nL 359.4475 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <defs>\r\n <clipPath id=\"p37f08b6901\">\r\n <rect height=\"326.16\" width=\"326.16\" x=\"33.2875\" y=\"10.60814\"/>\r\n </clipPath>\r\n </defs>\r\n</svg>\r\n",
|
|
"image/png": "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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"m.plot(Q)"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"In the center of each cell there is an \"arrow\" that indicates the preferred direction of movement. Since all directions are equal, a dot is displayed.\n",
|
|
"\n",
|
|
"Now we need to run the simulation, explore our environment, and learn better distribution of Q-Table values, which will allow us to find the path to the apple much faster.\n",
|
|
"\n",
|
|
"## Essence of Q-Learning: Bellman Equation\n",
|
|
"\n",
|
|
"Once we start moving, each action will have a corresponding reward, i.e. we can theoretically select the next action based on the highest immediate reward. However, in most of the states the move will not achieve our goal or reaching the apple, and thus we cannot immediately decide which direction is better.\n",
|
|
"\n",
|
|
"> It is not the immediate result that matters, but rather the final result, which we will obtain at the end of the simulation.\n",
|
|
"\n",
|
|
"In order to account for this delayed reward, we need to use the principles of **[dynamic programming](https://en.wikipedia.org/wiki/Dynamic_programming)**, which allows us to think about our problem recursively.\n",
|
|
"\n",
|
|
"Suppose we are now at the state $s$, and we want to move to the next state $s'$. By doing so, we will receive the immediate reward $r(s,a)$, defined by reward function, plus some future reward. If we suppose that our Q-Table correctly reflects the \"attractiveness\" of each action, then at state $s'$ we will chose an action $a'$ that corresponds to maximum value of $Q(s',a')$. Thus, the best possible future reward we could get at state $s'$ will be defined as $\\max_{a'}Q(s',a')$ (maximum here is computed over all possible actions $a'$ at state $s'$). \n",
|
|
"\n",
|
|
"This gives the **Bellman formula** for calculating the value of Q-Table at state $s$, given action $a$:\n",
|
|
"\n",
|
|
"$$Q(s,a) = r(s,a) + \\gamma \\max_{a'} Q(s',a')$$\n",
|
|
"\n",
|
|
"Here $\\gamma$ is so-called **discount factor** that determines to which extent you should prefer current reward over the future reward and vice versa.\n",
|
|
"\n",
|
|
"## Learning Algorithm\n",
|
|
"\n",
|
|
"Given the equation above, we can now write a pseudo-code for our leaning algorithm:\n",
|
|
"\n",
|
|
"* Initialize Q-Table Q with equal numbers for all states and actions\n",
|
|
"* Set learning rate $\\alpha\\leftarrow 1$\n",
|
|
"* Repeat simulation many times\n",
|
|
" 1. Start at random position\n",
|
|
" 1. Repeat\n",
|
|
" 1. Select an action $a$ at state $s$\n",
|
|
" 2. Exectute action by moving to a new state $s'$\n",
|
|
" 3. If we encounter end-of-game condition, or total reward is too small - exit simulation \n",
|
|
" 4. Compute reward $r$ at the new state\n",
|
|
" 5. Update Q-Function according to Bellman equation: $Q(s,a)\\leftarrow (1-\\alpha)Q(s,a)+\\alpha(r+\\gamma\\max_{a'}Q(s',a'))$\n",
|
|
" 6. $s\\leftarrow s'$\n",
|
|
" 7. Update total reward and decrease $\\alpha$.\n",
|
|
"\n",
|
|
"## Exploit vs. Explore\n",
|
|
"\n",
|
|
"In the algorithm above, we did not specify how exactly we should chose an action at step 2.1. If we are choosing the action randomly, we will randomly **explore** the environment, and we are quite likely to die often, and also explore such areas where we would not normally go. An alternative approach would be to **exploit** the Q-Table values that we already know, and thus to chose the best action (with highers Q-Table value) at state $s$. This, however, will prevent us from exploring other states, and quite likely we might not find the optimal solution.\n",
|
|
"\n",
|
|
"Thus, the best approach is to balance between exploration and exploitation. This can be easily done by choosing the action at state $s$ with probabilities proportional to values in Q-Table. In the beginning, when Q-Table values are all the same, it would correspond to random selection, but as we learn more about our environment, we would be more likely to follow the optimal route, however, choosing the unexplored path once in a while.\n",
|
|
"\n",
|
|
"## Python Implementation\n",
|
|
"\n",
|
|
"Now we are ready to implement the learning algorithm. Before that, we also need some function that will convert arbitrary numbers in the Q-Table into a vector of probabilities for corresponding actions:"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# code block 7"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"We add small amount `eps` to the original vector in order to avoid division by 0 in the initial case, when all components of the vector are identical.\n",
|
|
"\n",
|
|
"The actual learning algorithm we will run for 5000 experiments, also called **epochs**: "
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 56,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
""
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"\n",
|
|
"from IPython.display import clear_output\n",
|
|
"\n",
|
|
"lpath = []\n",
|
|
"\n",
|
|
"# code block 8"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"After executing this algorithm, the Q-Table should be updated with values that define the attractiveness of different actions at each step. We can try to visualize the Q-Table by plotting a vector at each cell that will point in the desired direction of movement. For simplicity, we draw a small circle instead of arrow head."
|
|
],
|
|
"cell_type": "code",
|
|
"metadata": {},
|
|
"execution_count": null,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 43,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 792x432 with 1 Axes>",
|
|
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"360.646265pt\" version=\"1.1\" viewBox=\"0 0 366.6475 360.646265\" width=\"366.6475pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;white-space:pre;}\r\n </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n <g id=\"patch_1\">\r\n <path d=\"M 0 360.646265 \r\nL 366.6475 360.646265 \r\nL 366.6475 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n </g>\r\n <g id=\"axes_1\">\r\n <g id=\"patch_2\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 359.4475 336.76814 \r\nL 359.4475 10.60814 \r\nL 33.2875 10.60814 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n </g>\r\n <g clip-path=\"url(#p03670b802c)\">\r\n <image height=\"327\" id=\"imagefd2c98b8a1\" transform=\"scale(1 -1)translate(0 -327)\" width=\"327\" x=\"33.2875\" xlink:href=\"data:image/png;base64,\r\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\" y=\"-9.76814\"/>\r\n </g>\r\n <g id=\"matplotlib.axis_1\">\r\n <g id=\"xtick_1\">\r\n <g id=\"line2d_1\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m79531393d3\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.678579\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_1\">\r\n <!-- 0 -->\r\n <defs>\r\n <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n </defs>\r\n <g transform=\"translate(30.497329 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_2\">\r\n <g id=\"line2d_2\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"72.786493\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_2\">\r\n <!-- 50 -->\r\n <defs>\r\n <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n </defs>\r\n <g transform=\"translate(66.423993 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_3\">\r\n <g id=\"line2d_3\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"111.894406\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_3\">\r\n <!-- 100 -->\r\n <defs>\r\n <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n </defs>\r\n <g transform=\"translate(102.350656 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_4\">\r\n <g id=\"line2d_4\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"151.00232\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_4\">\r\n <!-- 150 -->\r\n <g transform=\"translate(141.45857 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_5\">\r\n <g id=\"line2d_5\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"190.110234\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_5\">\r\n <!-- 200 -->\r\n <defs>\r\n <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n </defs>\r\n <g transform=\"translate(180.566484 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_6\">\r\n <g id=\"line2d_6\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"229.218147\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_6\">\r\n <!-- 250 -->\r\n <g transform=\"translate(219.674397 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_7\">\r\n <g id=\"line2d_7\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"268.326061\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_7\">\r\n <!-- 300 -->\r\n <defs>\r\n <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n </defs>\r\n <g transform=\"translate(258.782311 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_8\">\r\n <g id=\"line2d_8\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"307.433975\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_8\">\r\n <!-- 350 -->\r\n <g transform=\"translate(297.890225 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_9\">\r\n <g id=\"line2d_9\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"346.541888\" xlink:href=\"#m79531393d3\" y=\"336.76814\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_9\">\r\n <!-- 400 -->\r\n <defs>\r\n <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n </defs>\r\n <g transform=\"translate(336.998138 351.366577)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"matplotlib.axis_2\">\r\n <g id=\"ytick_1\">\r\n <g id=\"line2d_10\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m95a78e1f45\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"10.999219\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_10\">\r\n <!-- 0 -->\r\n <g transform=\"translate(19.925 14.798438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_2\">\r\n <g id=\"line2d_11\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"50.107132\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_11\">\r\n <!-- 50 -->\r\n <g transform=\"translate(13.5625 53.906351)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_3\">\r\n <g id=\"line2d_12\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"89.215046\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_12\">\r\n <!-- 100 -->\r\n <g transform=\"translate(7.2 93.014265)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_4\">\r\n <g id=\"line2d_13\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"128.32296\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_13\">\r\n <!-- 150 -->\r\n <g transform=\"translate(7.2 132.122179)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_5\">\r\n <g id=\"line2d_14\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"167.430873\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_14\">\r\n <!-- 200 -->\r\n <g transform=\"translate(7.2 171.230092)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_6\">\r\n <g id=\"line2d_15\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"206.538787\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_15\">\r\n <!-- 250 -->\r\n <g transform=\"translate(7.2 210.338006)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_7\">\r\n <g id=\"line2d_16\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"245.646701\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_16\">\r\n <!-- 300 -->\r\n <g transform=\"translate(7.2 249.44592)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_8\">\r\n <g id=\"line2d_17\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"284.754614\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_17\">\r\n <!-- 350 -->\r\n <g transform=\"translate(7.2 288.553833)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-51\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_9\">\r\n <g id=\"line2d_18\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m95a78e1f45\" y=\"323.862528\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_18\">\r\n <!-- 400 -->\r\n <g transform=\"translate(7.2 327.661747)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"patch_3\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 33.2875 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_4\">\r\n <path d=\"M 359.4475 336.76814 \r\nL 359.4475 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_5\">\r\n <path d=\"M 33.2875 336.76814 \r\nL 359.4475 336.76814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_6\">\r\n <path d=\"M 33.2875 10.60814 \r\nL 359.4475 10.60814 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <defs>\r\n <clipPath id=\"p03670b802c\">\r\n <rect height=\"326.16\" width=\"326.16\" x=\"33.2875\" y=\"10.60814\"/>\r\n </clipPath>\r\n </defs>\r\n</svg>\r\n",
|
|
"image/png": "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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"m.plot(Q)"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"## Checking the Policy\n",
|
|
"\n",
|
|
"Since Q-Table lists the \"attractiveness\" of each action at each state, it is quite easy to use it to define the efficient navigation in our world. In the simplest case, we can just select the action corresponding to the highest Q-Table value:"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": [
|
|
"2"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 13
|
|
}
|
|
],
|
|
"source": [
|
|
"# code block 9"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"If you try the code above several times, you may notice that sometimes it just \"hangs\", and you need to press the STOP button in the notebook to interrupt it. This happens because there could be situations when two states \"point\" to each other in terms of optimal Q-Value, in which case the agents ends up moving between those states indefinitely.\n",
|
|
"\n",
|
|
"> **Task 1:** Modify the `walk` function to limit the maximum length of path by a certain number of steps (say, 100), and watch the code above return this value from time to time.\n",
|
|
"\n",
|
|
"> **Task 2:** Modify the `walk` function so that it does not go back to the places where is has already been previously. This will prevent `walk` from looping, however, the agent can still end up being \"trapped\" in a location from which it is unable to escape.\n",
|
|
"\n",
|
|
"Better navigation policy would be the one that we have used during training, which combines exploitation and exploration. In this policy, we will select each action with a certain probability, proportional to the values in Q-Table. This strategy may still result in the agent returning back to the position it has already explored, but, as you can see from the code below, it results in very short average path to the desired location (remember that `print_statistics` runs the simulation 100 times): "
|
|
],
|
|
"cell_type": "code",
|
|
"metadata": {},
|
|
"execution_count": null,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 58,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"Average path length = 5.31, eaten by wolf: 0 times\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"\n",
|
|
"# code block 10"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"## Investigating Learning Process\n",
|
|
"\n",
|
|
"As we have mentioned, the learning process is a balance between exploration and exploration of gained knowledge about the structure of problem space. We have seen that the result of learning (the ability to help an agent to find short path to the goal) has improved, but it is also interesting to observe how the average path length behaves during the learning process: "
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 57,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x26dab295a48>]"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 57
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 1 Axes>",
|
|
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 382.368508 248.518125\" width=\"382.368508pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;white-space:pre;}\r\n </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n <g id=\"patch_1\">\r\n <path d=\"M -0 248.518125 \r\nL 382.368508 248.518125 \r\nL 382.368508 0 \r\nL -0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n </g>\r\n <g id=\"axes_1\">\r\n <g id=\"patch_2\">\r\n <path d=\"M 39.65 224.64 \r\nL 374.45 224.64 \r\nL 374.45 7.2 \r\nL 39.65 7.2 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n </g>\r\n <g id=\"matplotlib.axis_1\">\r\n <g id=\"xtick_1\">\r\n <g id=\"line2d_1\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m9289ace8dd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.868182\" xlink:href=\"#m9289ace8dd\" y=\"224.64\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_1\">\r\n <!-- 0 -->\r\n <defs>\r\n <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n </defs>\r\n <g transform=\"translate(51.686932 239.238438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_2\">\r\n <g id=\"line2d_2\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"115.746997\" xlink:href=\"#m9289ace8dd\" y=\"224.64\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_2\">\r\n <!-- 2000 -->\r\n <defs>\r\n <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n </defs>\r\n <g transform=\"translate(103.021997 239.238438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_3\">\r\n <g id=\"line2d_3\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"176.625812\" xlink:href=\"#m9289ace8dd\" y=\"224.64\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_3\">\r\n <!-- 4000 -->\r\n <defs>\r\n <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n </defs>\r\n <g transform=\"translate(163.900812 239.238438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_4\">\r\n <g id=\"line2d_4\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"237.504627\" xlink:href=\"#m9289ace8dd\" y=\"224.64\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_4\">\r\n <!-- 6000 -->\r\n <defs>\r\n <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n </defs>\r\n <g transform=\"translate(224.779627 239.238438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-54\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_5\">\r\n <g id=\"line2d_5\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"298.383442\" xlink:href=\"#m9289ace8dd\" y=\"224.64\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_5\">\r\n <!-- 8000 -->\r\n <defs>\r\n <path d=\"M 31.78125 34.625 \r\nQ 24.75 34.625 20.71875 30.859375 \r\nQ 16.703125 27.09375 16.703125 20.515625 \r\nQ 16.703125 13.921875 20.71875 10.15625 \r\nQ 24.75 6.390625 31.78125 6.390625 \r\nQ 38.8125 6.390625 42.859375 10.171875 \r\nQ 46.921875 13.96875 46.921875 20.515625 \r\nQ 46.921875 27.09375 42.890625 30.859375 \r\nQ 38.875 34.625 31.78125 34.625 \r\nz\r\nM 21.921875 38.8125 \r\nQ 15.578125 40.375 12.03125 44.71875 \r\nQ 8.5 49.078125 8.5 55.328125 \r\nQ 8.5 64.0625 14.71875 69.140625 \r\nQ 20.953125 74.21875 31.78125 74.21875 \r\nQ 42.671875 74.21875 48.875 69.140625 \r\nQ 55.078125 64.0625 55.078125 55.328125 \r\nQ 55.078125 49.078125 51.53125 44.71875 \r\nQ 48 40.375 41.703125 38.8125 \r\nQ 48.828125 37.15625 52.796875 32.3125 \r\nQ 56.78125 27.484375 56.78125 20.515625 \r\nQ 56.78125 9.90625 50.3125 4.234375 \r\nQ 43.84375 -1.421875 31.78125 -1.421875 \r\nQ 19.734375 -1.421875 13.25 4.234375 \r\nQ 6.78125 9.90625 6.78125 20.515625 \r\nQ 6.78125 27.484375 10.78125 32.3125 \r\nQ 14.796875 37.15625 21.921875 38.8125 \r\nz\r\nM 18.3125 54.390625 \r\nQ 18.3125 48.734375 21.84375 45.5625 \r\nQ 25.390625 42.390625 31.78125 42.390625 \r\nQ 38.140625 42.390625 41.71875 45.5625 \r\nQ 45.3125 48.734375 45.3125 54.390625 \r\nQ 45.3125 60.0625 41.71875 63.234375 \r\nQ 38.140625 66.40625 31.78125 66.40625 \r\nQ 25.390625 66.40625 21.84375 63.234375 \r\nQ 18.3125 60.0625 18.3125 54.390625 \r\nz\r\n\" id=\"DejaVuSans-56\"/>\r\n </defs>\r\n <g transform=\"translate(285.658442 239.238438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-56\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"xtick_6\">\r\n <g id=\"line2d_6\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"359.262258\" xlink:href=\"#m9289ace8dd\" y=\"224.64\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_6\">\r\n <!-- 10000 -->\r\n <defs>\r\n <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n </defs>\r\n <g transform=\"translate(343.356008 239.238438)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-49\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"matplotlib.axis_2\">\r\n <g id=\"ytick_1\">\r\n <g id=\"line2d_7\">\r\n <defs>\r\n <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"mac0d9b03a1\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n </defs>\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"39.65\" xlink:href=\"#mac0d9b03a1\" y=\"214.756364\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_7\">\r\n <!-- 0 -->\r\n <g transform=\"translate(26.2875 218.555582)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_2\">\r\n <g id=\"line2d_8\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"39.65\" xlink:href=\"#mac0d9b03a1\" y=\"172.854355\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_8\">\r\n <!-- 2000 -->\r\n <g transform=\"translate(7.2 176.653573)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-50\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_3\">\r\n <g id=\"line2d_9\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"39.65\" xlink:href=\"#mac0d9b03a1\" y=\"130.952346\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_9\">\r\n <!-- 4000 -->\r\n <g transform=\"translate(7.2 134.751564)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-52\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_4\">\r\n <g id=\"line2d_10\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"39.65\" xlink:href=\"#mac0d9b03a1\" y=\"89.050337\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_10\">\r\n <!-- 6000 -->\r\n <g transform=\"translate(7.2 92.849556)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-54\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"ytick_5\">\r\n <g id=\"line2d_11\">\r\n <g>\r\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"39.65\" xlink:href=\"#mac0d9b03a1\" y=\"47.148328\"/>\r\n </g>\r\n </g>\r\n <g id=\"text_11\">\r\n <!-- 8000 -->\r\n <g transform=\"translate(7.2 50.947547)scale(0.1 -0.1)\">\r\n <use xlink:href=\"#DejaVuSans-56\"/>\r\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\r\n </g>\r\n </g>\r\n </g>\r\n </g>\r\n <g id=\"line2d_12\">\r\n <path clip-path=\"url(#p46c120979b)\" d=\"M 54.868182 214.211638 \r\nL 55.081258 214.756364 \r\nL 55.172576 214.525903 \r\nL 55.203015 214.756364 \r\nL 55.263894 214.735413 \r\nL 55.294334 187.98098 \r\nL 55.324773 214.756364 \r\nL 55.355212 213.918323 \r\nL 55.385652 214.756364 \r\nL 55.47697 214.693511 \r\nL 55.629167 214.756364 \r\nL 55.781364 214.756364 \r\nL 55.903122 205.768383 \r\nL 55.964 214.756364 \r\nL 56.024879 211.508958 \r\nL 56.055319 207.507316 \r\nL 56.085758 214.756364 \r\nL 56.268395 214.756364 \r\nL 56.359713 211.320399 \r\nL 56.420592 207.38161 \r\nL 56.451031 214.714462 \r\nL 56.48147 209.958584 \r\nL 56.51191 214.756364 \r\nL 56.542349 214.67256 \r\nL 56.572789 214.546854 \r\nL 56.603228 211.96988 \r\nL 56.664107 214.735413 \r\nL 56.816304 214.714462 \r\nL 56.846743 214.756364 \r\nL 56.877183 58.692331 \r\nL 56.938062 214.756364 \r\nL 56.968501 211.865125 \r\nL 57.02938 214.735413 \r\nL 57.090259 214.714462 \r\nL 57.120698 209.916682 \r\nL 57.181577 214.756364 \r\nL 57.242456 212.095586 \r\nL 57.272895 214.756364 \r\nL 57.303334 214.211638 \r\nL 57.333774 183.497465 \r\nL 57.364213 214.756364 \r\nL 57.394653 214.358295 \r\nL 57.425092 214.756364 \r\nL 57.51641 207.318757 \r\nL 57.638168 214.756364 \r\nL 57.668607 177.191213 \r\nL 57.729486 214.756364 \r\nL 57.759926 214.609707 \r\nL 57.790365 196.885157 \r\nL 57.820804 214.756364 \r\nL 57.851244 214.756364 \r\nL 58.094759 214.714462 \r\nL 58.186077 187.98098 \r\nL 58.216517 196.277578 \r\nL 58.277395 214.756364 \r\nL 58.338274 214.693511 \r\nL 58.429593 214.756364 \r\nL 58.460032 214.693511 \r\nL 58.490471 192.925417 \r\nL 58.520911 214.756364 \r\nL 58.55135 214.735413 \r\nL 58.642668 214.756364 \r\nL 58.673108 212.242243 \r\nL 58.703547 214.756364 \r\nL 58.825305 190.89317 \r\nL 58.916623 186.388704 \r\nL 58.947062 214.756364 \r\nL 58.977502 214.756364 \r\nL 59.007941 214.358295 \r\nL 59.06882 214.756364 \r\nL 59.129699 158.481966 \r\nL 59.160138 214.756364 \r\nL 59.251457 214.693511 \r\nL 59.281896 213.499303 \r\nL 59.312335 214.735413 \r\nL 59.342775 183.497465 \r\nL 59.373214 214.756364 \r\nL 59.403654 189.845619 \r\nL 59.525411 214.735413 \r\nL 59.555851 207.989189 \r\nL 59.616729 214.756364 \r\nL 59.647169 214.756364 \r\nL 59.677608 211.613713 \r\nL 59.738487 212.326047 \r\nL 59.768926 214.756364 \r\nL 59.799366 210.440457 \r\nL 59.829805 210.2938 \r\nL 59.951563 214.756364 \r\nL 59.982002 192.841613 \r\nL 60.042881 214.756364 \r\nL 60.134199 211.425154 \r\nL 60.255957 214.756364 \r\nL 60.347275 209.183396 \r\nL 60.438593 205.956942 \r\nL 60.469033 214.756364 \r\nL 60.499472 161.247498 \r\nL 60.560351 198.791698 \r\nL 60.59079 214.756364 \r\nL 60.62123 214.735413 \r\nL 60.651669 123.389033 \r\nL 60.712548 213.813568 \r\nL 60.742987 214.756364 \r\nL 60.773427 193.113976 \r\nL 60.834306 214.756364 \r\nL 60.956063 212.095586 \r\nL 61.016942 214.756364 \r\nL 61.077821 68.68596 \r\nL 61.1387 214.735413 \r\nL 61.199579 193.889163 \r\nL 61.321336 214.756364 \r\nL 61.412654 214.735413 \r\nL 61.443094 210.042388 \r\nL 61.503973 214.756364 \r\nL 61.564851 214.756364 \r\nL 61.686609 212.284145 \r\nL 61.717049 214.756364 \r\nL 61.747488 214.735413 \r\nL 61.777927 206.941639 \r\nL 61.808367 214.756364 \r\nL 61.838806 214.735413 \r\nL 61.930124 214.714462 \r\nL 61.991003 213.541205 \r\nL 62.021443 206.794982 \r\nL 62.051882 214.756364 \r\nL 62.082321 214.735413 \r\nL 62.17364 214.756364 \r\nL 62.204079 182.806082 \r\nL 62.264958 214.46305 \r\nL 62.295397 214.127834 \r\nL 62.325837 202.122908 \r\nL 62.386715 211.34135 \r\nL 62.417155 214.756364 \r\nL 62.508473 214.735413 \r\nL 62.569352 214.735413 \r\nL 62.599791 202.437173 \r\nL 62.630231 214.756364 \r\nL 62.66067 214.735413 \r\nL 62.69111 214.756364 \r\nL 62.812867 199.923052 \r\nL 62.934625 214.756364 \r\nL 62.965064 214.756364 \r\nL 62.995504 202.625732 \r\nL 63.056382 214.756364 \r\nL 63.117261 212.745067 \r\nL 63.147701 214.756364 \r\nL 63.299898 214.756364 \r\nL 63.391216 207.905385 \r\nL 63.482534 207.339708 \r\nL 63.512974 214.756364 \r\nL 63.604292 207.004492 \r\nL 63.726049 214.756364 \r\nL 63.817368 214.735413 \r\nL 63.847807 213.457401 \r\nL 63.908686 198.770747 \r\nL 63.939125 214.609707 \r\nL 63.969565 211.257546 \r\nL 64.000004 214.756364 \r\nL 64.030443 214.756364 \r\nL 64.121762 214.756364 \r\nL 64.152201 213.729764 \r\nL 64.21308 214.756364 \r\nL 64.243519 214.756364 \r\nL 64.304398 194.852909 \r\nL 64.334838 214.756364 \r\nL 64.365277 214.756364 \r\nL 64.456595 210.000486 \r\nL 64.487035 211.278497 \r\nL 64.608792 214.756364 \r\nL 64.639232 210.985183 \r\nL 64.70011 214.379246 \r\nL 64.821868 214.756364 \r\nL 64.943626 202.541928 \r\nL 65.034944 213.331695 \r\nL 65.065383 212.200341 \r\nL 65.156702 214.756364 \r\nL 65.187141 214.46305 \r\nL 65.24802 158.817182 \r\nL 65.278459 214.756364 \r\nL 65.339338 211.571811 \r\nL 65.369777 212.095586 \r\nL 65.430656 214.756364 \r\nL 65.491535 198.058413 \r\nL 65.582853 201.682937 \r\nL 65.643732 214.756364 \r\nL 65.73505 212.661263 \r\nL 65.76549 211.425154 \r\nL 65.795929 214.756364 \r\nL 65.826369 209.309102 \r\nL 65.887247 213.687862 \r\nL 65.917687 214.756364 \r\nL 65.948126 211.110889 \r\nL 65.978566 184.670721 \r\nL 66.009005 214.756364 \r\nL 66.039444 214.756364 \r\nL 66.161202 214.756364 \r\nL 66.191641 212.870773 \r\nL 66.25252 213.415499 \r\nL 66.343838 214.756364 \r\nL 66.404717 200.027807 \r\nL 66.435157 212.095586 \r\nL 66.465596 214.756364 \r\nL 66.496036 211.676566 \r\nL 66.526475 208.63867 \r\nL 66.556914 214.756364 \r\nL 66.587354 213.625009 \r\nL 66.648233 214.735413 \r\nL 66.678672 214.714462 \r\nL 66.739551 201.201064 \r\nL 66.76999 209.120543 \r\nL 66.830869 206.815933 \r\nL 66.861308 214.756364 \r\nL 66.952627 195.837607 \r\nL 67.043945 214.567805 \r\nL 67.074384 205.412216 \r\nL 67.104824 185.843977 \r\nL 67.135263 214.756364 \r\nL 67.165702 214.756364 \r\nL 67.28746 197.869854 \r\nL 67.3179 213.750715 \r\nL 67.348339 195.649048 \r\nL 67.409218 212.828871 \r\nL 67.500536 214.756364 \r\nL 67.530975 214.714462 \r\nL 67.561415 214.337344 \r\nL 67.591854 211.508958 \r\nL 67.652733 214.379246 \r\nL 67.683172 214.756364 \r\nL 67.713612 208.533915 \r\nL 67.774491 214.756364 \r\nL 67.835369 214.735413 \r\nL 67.865809 187.310548 \r\nL 67.896248 214.756364 \r\nL 67.926688 205.684579 \r\nL 68.048445 214.756364 \r\nL 68.139764 199.064061 \r\nL 68.231082 214.756364 \r\nL 68.261521 214.484001 \r\nL 68.291961 214.756364 \r\nL 68.383279 207.947287 \r\nL 68.413718 214.735413 \r\nL 68.444158 204.092302 \r\nL 68.474597 202.981899 \r\nL 68.565915 214.756364 \r\nL 68.596355 205.49602 \r\nL 68.626794 200.614436 \r\nL 68.657233 214.756364 \r\nL 68.687673 196.487088 \r\nL 68.748552 209.770025 \r\nL 68.870309 214.756364 \r\nL 68.900749 214.127834 \r\nL 68.931188 212.556508 \r\nL 68.961628 214.735413 \r\nL 68.992067 194.077722 \r\nL 69.083385 207.130198 \r\nL 69.113825 201.766741 \r\nL 69.144264 214.756364 \r\nL 69.296461 201.976251 \r\nL 69.387779 199.67164 \r\nL 69.418219 214.756364 \r\nL 69.448658 214.756364 \r\nL 69.479097 193.784408 \r\nL 69.539976 214.735413 \r\nL 69.570416 214.756364 \r\nL 69.600855 197.974609 \r\nL 69.661734 214.756364 \r\nL 69.692173 214.756364 \r\nL 69.722613 200.111612 \r\nL 69.813931 208.471062 \r\nL 69.84437 206.33406 \r\nL 69.935689 205.28651 \r\nL 69.966128 214.756364 \r\nL 70.027007 214.756364 \r\nL 70.057446 214.504952 \r\nL 70.118325 214.756364 \r\nL 70.179204 214.756364 \r\nL 70.209643 214.609707 \r\nL 70.270522 214.756364 \r\nL 70.422719 208.261552 \r\nL 70.544477 214.756364 \r\nL 70.574916 214.735413 \r\nL 70.696674 210.251898 \r\nL 70.757553 214.756364 \r\nL 70.787992 214.211638 \r\nL 70.818431 207.360659 \r\nL 70.87931 212.59841 \r\nL 71.001068 214.756364 \r\nL 71.031507 199.985905 \r\nL 71.092386 214.169736 \r\nL 71.122825 214.756364 \r\nL 71.153265 191.123631 \r\nL 71.244583 199.378326 \r\nL 71.39678 214.756364 \r\nL 71.42722 208.471062 \r\nL 71.488098 210.880428 \r\nL 71.548977 214.756364 \r\nL 71.579417 208.282503 \r\nL 71.640295 208.450111 \r\nL 71.701174 214.735413 \r\nL 71.731614 212.200341 \r\nL 71.762053 210.419506 \r\nL 71.792492 214.756364 \r\nL 71.822932 214.756364 \r\nL 71.853371 214.46305 \r\nL 71.883811 214.756364 \r\nL 71.91425 210.314751 \r\nL 71.975129 213.01743 \r\nL 72.005568 214.756364 \r\nL 72.036008 208.764376 \r\nL 72.096887 214.504952 \r\nL 72.157765 214.756364 \r\nL 72.188205 207.402561 \r\nL 72.279523 209.45576 \r\nL 72.309962 214.756364 \r\nL 72.401281 214.400197 \r\nL 72.43172 209.05769 \r\nL 72.462159 214.735413 \r\nL 72.523038 210.817575 \r\nL 72.644796 214.756364 \r\nL 72.736114 214.756364 \r\nL 72.766553 191.584553 \r\nL 72.827432 207.255904 \r\nL 72.857872 213.562156 \r\nL 72.888311 195.418587 \r\nL 72.918751 214.735413 \r\nL 72.94919 214.337344 \r\nL 73.070948 214.756364 \r\nL 73.131826 211.844174 \r\nL 73.223145 214.756364 \r\nL 73.253584 190.138933 \r\nL 73.344902 214.46305 \r\nL 73.375342 213.268842 \r\nL 73.43622 214.756364 \r\nL 73.46666 209.330053 \r\nL 73.527539 207.109247 \r\nL 73.557978 214.756364 \r\nL 73.588417 209.811927 \r\nL 73.649296 214.756364 \r\nL 73.740615 214.651609 \r\nL 73.771054 190.956023 \r\nL 73.831933 214.756364 \r\nL 73.862372 214.735413 \r\nL 73.892812 212.849822 \r\nL 73.923251 177.903547 \r\nL 73.98413 204.804637 \r\nL 74.014569 205.49602 \r\nL 74.136327 214.756364 \r\nL 74.166766 214.756364 \r\nL 74.197206 214.232589 \r\nL 74.258084 214.756364 \r\nL 74.379842 214.735413 \r\nL 74.47116 179.831039 \r\nL 74.5016 194.077722 \r\nL 74.562479 214.756364 \r\nL 74.592918 181.213805 \r\nL 74.623357 213.625009 \r\nL 74.714676 214.735413 \r\nL 74.775554 194.66435 \r\nL 74.805994 197.848903 \r\nL 74.836433 214.484001 \r\nL 74.866873 177.002654 \r\nL 74.927751 214.085931 \r\nL 74.958191 194.014869 \r\nL 75.049509 196.801353 \r\nL 75.171267 214.756364 \r\nL 75.201706 204.385616 \r\nL 75.262585 207.570169 \r\nL 75.353903 214.756364 \r\nL 75.384343 196.340431 \r\nL 75.445221 214.735413 \r\nL 75.5061 214.756364 \r\nL 75.597418 207.695875 \r\nL 75.627858 192.024524 \r\nL 75.688737 214.756364 \r\nL 75.719176 214.211638 \r\nL 75.749615 198.62409 \r\nL 75.810494 214.379246 \r\nL 75.840934 213.625009 \r\nL 75.871373 214.756364 \r\nL 75.901812 214.756364 \r\nL 75.932252 214.756364 \r\nL 75.962691 187.415303 \r\nL 76.02357 203.00285 \r\nL 76.054009 214.756364 \r\nL 76.145328 214.735413 \r\nL 76.206207 214.756364 \r\nL 76.236646 214.106882 \r\nL 76.267085 194.182477 \r\nL 76.297525 214.756364 \r\nL 76.327964 214.002127 \r\nL 76.388843 214.756364 \r\nL 76.419282 158.544819 \r\nL 76.480161 214.756364 \r\nL 76.510601 206.815933 \r\nL 76.571479 214.735413 \r\nL 76.601919 214.735413 \r\nL 76.632358 172.12107 \r\nL 76.693237 200.069709 \r\nL 76.784555 214.756364 \r\nL 76.814995 204.951294 \r\nL 76.875873 214.735413 \r\nL 76.906313 200.509681 \r\nL 76.936752 214.756364 \r\nL 76.967192 212.59841 \r\nL 77.05851 214.756364 \r\nL 77.088949 204.741783 \r\nL 77.149828 214.735413 \r\nL 77.180268 213.625009 \r\nL 77.271586 214.756364 \r\nL 77.302025 197.807001 \r\nL 77.332465 214.756364 \r\nL 77.423783 214.400197 \r\nL 77.454222 214.756364 \r\nL 77.484662 205.642677 \r\nL 77.54554 214.358295 \r\nL 77.57598 214.756364 \r\nL 77.728177 190.809366 \r\nL 77.758616 214.756364 \r\nL 77.849935 207.528267 \r\nL 77.910813 214.756364 \r\nL 77.941253 197.178471 \r\nL 78.002132 199.692591 \r\nL 78.09345 191.647406 \r\nL 78.123889 214.756364 \r\nL 78.184768 214.756364 \r\nL 78.215207 214.211638 \r\nL 78.276086 214.756364 \r\nL 78.397844 200.69824 \r\nL 78.458723 214.756364 \r\nL 78.489162 191.291239 \r\nL 78.550041 214.756364 \r\nL 78.671799 214.630658 \r\nL 78.702238 196.193774 \r\nL 78.732677 214.735413 \r\nL 78.763117 204.071351 \r\nL 78.793556 214.756364 \r\nL 78.854435 212.451753 \r\nL 78.915314 214.756364 \r\nL 79.006632 203.589478 \r\nL 79.067511 214.756364 \r\nL 79.12839 214.044029 \r\nL 79.189268 214.756364 \r\nL 79.219708 208.492013 \r\nL 79.280587 214.735413 \r\nL 79.341466 214.756364 \r\nL 79.402344 211.173742 \r\nL 79.432784 194.601497 \r\nL 79.463223 214.756364 \r\nL 79.493663 207.193051 \r\nL 79.554541 214.756364 \r\nL 79.61542 214.735413 \r\nL 79.64586 214.735413 \r\nL 79.676299 214.127834 \r\nL 79.767617 186.409655 \r\nL 79.798057 214.756364 \r\nL 79.828496 178.59493 \r\nL 79.889375 208.994837 \r\nL 79.919814 201.368672 \r\nL 79.950254 214.756364 \r\nL 79.980693 214.735413 \r\nL 80.072011 208.366307 \r\nL 80.102451 213.499303 \r\nL 80.13289 214.127834 \r\nL 80.16333 165.353895 \r\nL 80.224208 202.018153 \r\nL 80.285087 214.756364 \r\nL 80.345966 214.379246 \r\nL 80.437284 214.756364 \r\nL 80.467724 174.237121 \r\nL 80.559042 174.42568 \r\nL 80.589481 214.756364 \r\nL 80.680799 208.387258 \r\nL 80.711239 208.785327 \r\nL 80.772118 183.078445 \r\nL 80.802557 213.373597 \r\nL 80.832996 202.646683 \r\nL 80.893875 214.756364 \r\nL 80.954754 210.629016 \r\nL 80.985194 204.197057 \r\nL 81.015633 214.756364 \r\nL 81.046072 207.947287 \r\nL 81.16783 214.756364 \r\nL 81.198269 212.053684 \r\nL 81.259148 214.756364 \r\nL 81.289588 214.609707 \r\nL 81.320027 214.756364 \r\nL 81.411345 212.284145 \r\nL 81.472224 214.756364 \r\nL 81.502663 212.326047 \r\nL 81.563542 214.735413 \r\nL 81.65486 214.756364 \r\nL 81.6853 202.520977 \r\nL 81.807058 214.756364 \r\nL 81.837497 214.756364 \r\nL 81.867936 200.383975 \r\nL 81.959255 209.581466 \r\nL 81.989694 199.504032 \r\nL 82.020133 151.48433 \r\nL 82.050573 214.651609 \r\nL 82.081012 214.295442 \r\nL 82.20277 214.756364 \r\nL 82.233209 214.756364 \r\nL 82.263649 210.524261 \r\nL 82.324527 214.756364 \r\nL 82.385406 158.942888 \r\nL 82.507164 214.756364 \r\nL 82.537603 210.063339 \r\nL 82.598482 214.756364 \r\nL 82.72024 214.756364 \r\nL 82.750679 201.766741 \r\nL 82.811558 205.935991 \r\nL 82.872437 196.214725 \r\nL 82.933316 214.756364 \r\nL 82.963755 214.421148 \r\nL 83.055073 207.423512 \r\nL 83.115952 207.674924 \r\nL 83.176831 214.190687 \r\nL 83.20727 194.161526 \r\nL 83.268149 214.756364 \r\nL 83.298588 214.735413 \r\nL 83.329028 210.901379 \r\nL 83.359467 214.756364 \r\nL 83.389907 212.954577 \r\nL 83.511664 214.756364 \r\nL 83.542104 214.756364 \r\nL 83.572543 207.507316 \r\nL 83.633422 214.756364 \r\nL 83.663861 214.756364 \r\nL 83.694301 207.863483 \r\nL 83.785619 211.089938 \r\nL 83.816058 214.504952 \r\nL 83.846498 193.260633 \r\nL 83.907377 198.749796 \r\nL 83.998695 212.514606 \r\nL 83.968255 187.059136 \r\nL 84.029134 212.305096 \r\nL 84.120452 209.183396 \r\nL 84.24221 214.756364 \r\nL 84.303089 214.756364 \r\nL 84.333528 153.747039 \r\nL 84.394407 214.756364 \r\nL 84.424847 195.041468 \r\nL 84.485725 214.714462 \r\nL 84.546604 214.756364 \r\nL 84.637922 212.116537 \r\nL 84.668362 214.735413 \r\nL 84.698801 193.470143 \r\nL 84.75968 209.413857 \r\nL 84.790119 208.931984 \r\nL 84.820559 214.756364 \r\nL 84.850998 208.659621 \r\nL 84.881438 194.601497 \r\nL 84.911877 214.735413 \r\nL 84.942317 214.525903 \r\nL 85.033635 214.735413 \r\nL 85.064074 199.441179 \r\nL 85.124953 214.756364 \r\nL 85.185832 207.779679 \r\nL 85.216271 214.756364 \r\nL 85.246711 187.226744 \r\nL 85.338029 202.416222 \r\nL 85.459786 214.756364 \r\nL 85.490226 212.3889 \r\nL 85.520665 213.394548 \r\nL 85.551105 196.235676 \r\nL 85.581544 214.756364 \r\nL 85.611983 212.409851 \r\nL 85.703302 214.756364 \r\nL 85.733741 208.701523 \r\nL 85.79462 214.756364 \r\nL 85.855499 204.972245 \r\nL 85.885938 214.756364 \r\nL 85.946817 214.735413 \r\nL 86.038135 196.151872 \r\nL 86.007696 214.756364 \r\nL 86.068575 203.778037 \r\nL 86.190332 214.735413 \r\nL 86.220772 202.835242 \r\nL 86.251211 214.756364 \r\nL 86.28165 214.735413 \r\nL 86.31209 214.756364 \r\nL 86.342529 198.288874 \r\nL 86.403408 214.630658 \r\nL 86.525166 214.756364 \r\nL 86.555605 214.295442 \r\nL 86.616484 195.48144 \r\nL 86.646923 214.756364 \r\nL 86.677363 214.525903 \r\nL 86.707802 192.862564 \r\nL 86.768681 214.756364 \r\nL 86.79912 214.504952 \r\nL 86.82956 214.756364 \r\nL 86.859999 197.178471 \r\nL 86.920878 214.735413 \r\nL 86.951317 214.756364 \r\nL 86.981757 202.856193 \r\nL 87.042636 212.3889 \r\nL 87.073075 214.756364 \r\nL 87.133954 214.735413 \r\nL 87.194833 171.597294 \r\nL 87.255711 204.490371 \r\nL 87.377469 214.756364 \r\nL 87.407909 201.263917 \r\nL 87.499227 208.994837 \r\nL 87.529666 214.756364 \r\nL 87.560106 204.029449 \r\nL 87.620984 211.215644 \r\nL 87.651424 193.030172 \r\nL 87.712303 213.247891 \r\nL 87.773181 214.756364 \r\nL 87.8645 204.008498 \r\nL 87.925378 214.756364 \r\nL 87.955818 195.90046 \r\nL 88.016697 204.029449 \r\nL 88.108015 214.756364 \r\nL 88.138454 207.821581 \r\nL 88.168894 212.849822 \r\nL 88.199333 192.338789 \r\nL 88.260212 214.756364 \r\nL 88.321091 207.444463 \r\nL 88.35153 212.619361 \r\nL 88.473288 214.756364 \r\nL 88.595045 200.593485 \r\nL 88.716803 214.756364 \r\nL 88.808121 210.545212 \r\nL 88.899439 214.756364 \r\nL 88.960318 191.856916 \r\nL 88.990758 205.118902 \r\nL 89.082076 214.756364 \r\nL 89.112515 208.072993 \r\nL 89.173394 210.71282 \r\nL 89.264712 214.67256 \r\nL 89.325591 209.602417 \r\nL 89.356031 214.714462 \r\nL 89.38647 214.735413 \r\nL 89.477788 214.756364 \r\nL 89.508228 203.757086 \r\nL 89.599546 214.756364 \r\nL 89.629985 212.284145 \r\nL 89.660425 214.756364 \r\nL 89.690864 211.613713 \r\nL 89.751743 213.708813 \r\nL 89.782182 214.756364 \r\nL 89.812622 201.389623 \r\nL 89.873501 214.756364 \r\nL 89.90394 214.735413 \r\nL 89.934379 214.567805 \r\nL 89.964819 208.659621 \r\nL 89.995258 214.735413 \r\nL 90.025698 210.168094 \r\nL 90.117016 214.756364 \r\nL 90.147455 200.111612 \r\nL 90.208334 214.567805 \r\nL 90.269213 214.756364 \r\nL 90.299652 212.80792 \r\nL 90.360531 213.394548 \r\nL 90.451849 214.756364 \r\nL 90.482289 202.814291 \r\nL 90.573607 207.905385 \r\nL 90.634486 214.735413 \r\nL 90.664925 180.941442 \r\nL 90.725804 214.316393 \r\nL 90.756243 214.693511 \r\nL 90.817122 214.756364 \r\nL 90.90844 200.509681 \r\nL 90.93888 214.735413 \r\nL 90.999759 212.682214 \r\nL 91.030198 186.556312 \r\nL 91.091077 214.756364 \r\nL 91.121516 214.756364 \r\nL 91.212834 211.257546 \r\nL 91.334592 214.756364 \r\nL 91.365032 214.756364 \r\nL 91.547668 196.7385 \r\nL 91.578107 214.756364 \r\nL 91.638986 195.209076 \r\nL 91.669426 213.604058 \r\nL 91.699865 198.561237 \r\nL 91.730304 214.756364 \r\nL 91.760744 212.053684 \r\nL 91.791183 214.735413 \r\nL 91.821623 210.126192 \r\nL 91.852062 209.434808 \r\nL 91.882501 193.260633 \r\nL 91.912941 214.756364 \r\nL 91.94338 214.756364 \r\nL 91.97382 214.756364 \r\nL 92.095577 201.305819 \r\nL 92.217335 214.756364 \r\nL 92.247774 214.421148 \r\nL 92.278214 207.151149 \r\nL 92.308653 214.735413 \r\nL 92.339093 214.442099 \r\nL 92.399971 206.857835 \r\nL 92.430411 214.735413 \r\nL 92.552168 214.756364 \r\nL 92.582608 192.715907 \r\nL 92.643487 214.756364 \r\nL 92.704365 214.756364 \r\nL 92.765244 213.457401 \r\nL 92.795684 214.714462 \r\nL 92.826123 214.693511 \r\nL 92.917441 211.613713 \r\nL 92.947881 213.562156 \r\nL 93.00876 209.66527 \r\nL 93.069638 207.088296 \r\nL 93.130517 214.756364 \r\nL 93.221835 214.651609 \r\nL 93.252275 199.776395 \r\nL 93.343593 206.292158 \r\nL 93.465351 214.756364 \r\nL 93.49579 214.693511 \r\nL 93.526229 213.897372 \r\nL 93.556669 193.365388 \r\nL 93.587108 214.756364 \r\nL 93.617548 209.581466 \r\nL 93.739305 214.756364 \r\nL 93.769745 208.973886 \r\nL 93.830624 212.912675 \r\nL 93.861063 214.735413 \r\nL 93.921942 214.232589 \r\nL 94.01326 214.756364 \r\nL 94.043699 201.703888 \r\nL 94.165457 214.756364 \r\nL 94.195896 214.651609 \r\nL 94.226336 214.756364 \r\nL 94.256775 199.902101 \r\nL 94.348093 209.560515 \r\nL 94.378533 211.173742 \r\nL 94.408972 206.12455 \r\nL 94.439412 214.106882 \r\nL 94.53073 214.756364 \r\nL 94.561169 191.186484 \r\nL 94.622048 214.756364 \r\nL 94.835124 214.735413 \r\nL 94.896003 214.756364 \r\nL 94.926442 213.939274 \r\nL 94.987321 214.756364 \r\nL 95.0482 214.756364 \r\nL 95.139518 203.00285 \r\nL 95.261276 214.756364 \r\nL 95.291715 209.979535 \r\nL 95.352594 213.708813 \r\nL 95.383033 214.735413 \r\nL 95.443912 214.756364 \r\nL 95.474352 204.25991 \r\nL 95.56567 214.756364 \r\nL 95.596109 201.410574 \r\nL 95.687427 207.570169 \r\nL 95.748306 214.756364 \r\nL 95.778746 188.986628 \r\nL 95.839624 213.85547 \r\nL 95.870064 213.85547 \r\nL 95.900503 212.703165 \r\nL 95.991821 214.756364 \r\nL 96.022261 195.711901 \r\nL 96.174458 214.735413 \r\nL 96.265776 212.514606 \r\nL 96.296216 214.756364 \r\nL 96.326655 214.714462 \r\nL 96.417973 204.176106 \r\nL 96.387534 214.756364 \r\nL 96.448413 211.089938 \r\nL 96.539731 214.756364 \r\nL 96.57017 191.815014 \r\nL 96.631049 214.756364 \r\nL 96.661488 214.714462 \r\nL 96.722367 214.756364 \r\nL 96.783246 193.952016 \r\nL 96.813685 214.756364 \r\nL 96.874564 214.67256 \r\nL 96.905004 185.760173 \r\nL 96.935443 214.756364 \r\nL 96.965882 192.15023 \r\nL 97.057201 214.756364 \r\nL 97.08764 214.588756 \r\nL 97.11808 214.756364 \r\nL 97.148519 214.693511 \r\nL 97.178958 213.457401 \r\nL 97.209398 214.756364 \r\nL 97.239837 214.756364 \r\nL 97.270277 199.923052 \r\nL 97.331155 214.756364 \r\nL 97.361595 210.524261 \r\nL 97.422474 214.756364 \r\nL 97.452913 213.981176 \r\nL 97.513792 214.756364 \r\nL 97.544231 214.609707 \r\nL 97.574671 214.735413 \r\nL 97.696428 211.027085 \r\nL 97.726868 189.154236 \r\nL 97.818186 195.816656 \r\nL 98.000822 214.756364 \r\nL 98.061701 214.714462 \r\nL 98.153019 191.479798 \r\nL 98.213898 214.756364 \r\nL 98.274777 209.05769 \r\nL 98.366095 214.756364 \r\nL 98.396535 214.358295 \r\nL 98.426974 191.856916 \r\nL 98.457413 214.756364 \r\nL 98.487853 211.613713 \r\nL 98.609611 214.756364 \r\nL 98.731368 214.756364 \r\nL 98.853126 211.55086 \r\nL 98.914005 211.781321 \r\nL 98.974883 214.756364 \r\nL 99.005323 211.739419 \r\nL 99.035762 190.034178 \r\nL 99.096641 209.351004 \r\nL 99.15752 214.756364 \r\nL 99.187959 206.899737 \r\nL 99.218399 214.25354 \r\nL 99.248838 211.907027 \r\nL 99.309717 214.735413 \r\nL 99.340156 172.707698 \r\nL 99.370596 214.756364 \r\nL 99.401035 214.735413 \r\nL 99.431475 214.756364 \r\nL 99.461914 214.127834 \r\nL 99.522793 195.313831 \r\nL 99.553232 214.756364 \r\nL 99.614111 202.101957 \r\nL 99.67499 214.756364 \r\nL 99.705429 211.718468 \r\nL 99.735869 188.022882 \r\nL 99.766308 214.756364 \r\nL 99.827187 198.770747 \r\nL 99.918505 214.714462 \r\nL 99.948944 207.234953 \r\nL 99.979384 214.756364 \r\nL 100.040263 205.349363 \r\nL 100.253339 214.756364 \r\nL 100.375096 185.06879 \r\nL 100.405536 197.241324 \r\nL 100.435975 214.756364 \r\nL 100.527293 211.257546 \r\nL 100.557733 214.756364 \r\nL 100.588172 207.1721 \r\nL 100.649051 213.310744 \r\nL 100.67949 209.728123 \r\nL 100.740369 214.756364 \r\nL 100.862127 214.25354 \r\nL 100.892566 214.316393 \r\nL 100.923005 214.127834 \r\nL 100.953445 214.735413 \r\nL 100.983884 188.902824 \r\nL 101.044763 210.587114 \r\nL 101.136081 214.756364 \r\nL 101.166521 214.546854 \r\nL 101.19696 186.158243 \r\nL 101.257839 214.756364 \r\nL 101.349157 206.627374 \r\nL 101.379597 212.954577 \r\nL 101.440475 210.000486 \r\nL 101.501354 214.756364 \r\nL 101.531794 214.484001 \r\nL 101.562233 204.846539 \r\nL 101.623112 213.394548 \r\nL 101.683991 214.756364 \r\nL 101.71443 214.525903 \r\nL 101.775309 214.756364 \r\nL 101.805748 198.456482 \r\nL 101.927506 214.525903 \r\nL 102.018824 206.208354 \r\nL 101.988385 214.756364 \r\nL 102.049264 210.335702 \r\nL 102.110142 214.756364 \r\nL 102.140582 211.927978 \r\nL 102.171021 201.9553 \r\nL 102.201461 214.756364 \r\nL 102.2319 214.735413 \r\nL 102.323218 209.141494 \r\nL 102.353658 214.756364 \r\nL 102.444976 214.714462 \r\nL 102.475415 195.984264 \r\nL 102.536294 214.756364 \r\nL 102.597173 214.756364 \r\nL 102.627612 212.912675 \r\nL 102.688491 214.756364 \r\nL 102.718931 214.756364 \r\nL 102.74937 202.248614 \r\nL 102.810249 214.756364 \r\nL 102.840688 211.529909 \r\nL 102.901567 214.756364 \r\nL 102.932006 214.756364 \r\nL 102.962446 213.939274 \r\nL 102.992885 214.735413 \r\nL 103.023325 201.850545 \r\nL 103.084203 208.994837 \r\nL 103.114643 214.756364 \r\nL 103.205961 213.143136 \r\nL 103.2364 214.442099 \r\nL 103.327719 214.756364 \r\nL 103.358158 205.244608 \r\nL 103.449476 214.714462 \r\nL 103.479916 209.330053 \r\nL 103.601673 214.756364 \r\nL 103.75387 192.632103 \r\nL 103.875628 214.756364 \r\nL 103.906067 214.735413 \r\nL 103.966946 207.486365 \r\nL 103.997386 214.756364 \r\nL 104.119143 214.756364 \r\nL 104.210462 190.159884 \r\nL 104.27134 198.267923 \r\nL 104.393098 214.756364 \r\nL 104.423537 214.756364 \r\nL 104.453977 209.979535 \r\nL 104.514856 214.756364 \r\nL 104.545295 214.714462 \r\nL 104.575734 180.229108 \r\nL 104.636613 214.756364 \r\nL 104.667053 214.25354 \r\nL 104.727931 214.756364 \r\nL 104.758371 214.756364 \r\nL 104.78881 209.916682 \r\nL 104.849689 214.756364 \r\nL 104.910568 214.756364 \r\nL 105.032326 213.394548 \r\nL 105.093204 214.756364 \r\nL 105.123644 193.323486 \r\nL 105.184523 214.756364 \r\nL 105.33672 214.756364 \r\nL 105.367159 193.281584 \r\nL 105.428038 212.493655 \r\nL 105.458477 213.897372 \r\nL 105.488917 205.663628 \r\nL 105.519356 214.735413 \r\nL 105.549795 208.596768 \r\nL 105.641114 214.756364 \r\nL 105.610674 204.86749 \r\nL 105.671553 214.714462 \r\nL 105.701992 214.295442 \r\nL 105.732432 214.756364 \r\nL 105.762871 206.96259 \r\nL 105.85419 211.697517 \r\nL 105.945508 214.756364 \r\nL 105.975947 211.110889 \r\nL 106.036826 214.756364 \r\nL 106.067265 214.756364 \r\nL 106.097705 214.06498 \r\nL 106.189023 204.46942 \r\nL 106.219462 208.575817 \r\nL 106.34122 214.756364 \r\nL 106.432538 214.756364 \r\nL 106.462978 207.947287 \r\nL 106.554296 212.053684 \r\nL 106.676054 214.756364 \r\nL 106.767372 214.735413 \r\nL 106.797811 214.567805 \r\nL 106.85869 211.194693 \r\nL 106.889129 185.864928 \r\nL 106.950008 214.756364 \r\nL 106.980448 209.811927 \r\nL 107.041326 212.891724 \r\nL 107.071766 214.756364 \r\nL 107.102205 208.890082 \r\nL 107.163084 214.756364 \r\nL 107.193523 214.756364 \r\nL 107.254402 209.162445 \r\nL 107.315281 213.750715 \r\nL 107.34572 214.756364 \r\nL 107.37616 208.492013 \r\nL 107.437039 214.756364 \r\nL 107.467478 214.756364 \r\nL 107.589236 201.284868 \r\nL 107.650115 214.735413 \r\nL 107.710993 208.659621 \r\nL 107.741433 201.452476 \r\nL 107.771872 214.756364 \r\nL 107.802312 214.756364 \r\nL 107.832751 213.478352 \r\nL 107.86319 203.317115 \r\nL 107.924069 214.756364 \r\nL 108.045827 214.756364 \r\nL 108.106706 208.785327 \r\nL 108.137145 214.756364 \r\nL 108.167584 214.46305 \r\nL 108.198024 203.023801 \r\nL 108.258903 214.735413 \r\nL 108.350221 214.756364 \r\nL 108.38066 197.555589 \r\nL 108.471979 204.427518 \r\nL 108.593736 214.756364 \r\nL 108.624176 214.756364 \r\nL 108.776373 206.96259 \r\nL 108.837251 214.756364 \r\nL 108.89813 211.215644 \r\nL 108.92857 212.367949 \r\nL 108.959009 208.952935 \r\nL 108.989448 213.939274 \r\nL 109.019888 214.756364 \r\nL 109.050327 211.278497 \r\nL 109.111206 214.756364 \r\nL 109.141646 214.756364 \r\nL 109.172085 207.968238 \r\nL 109.232964 214.756364 \r\nL 109.263403 214.085931 \r\nL 109.293843 201.703888 \r\nL 109.385161 202.919046 \r\nL 109.44604 214.756364 \r\nL 109.476479 192.192132 \r\nL 109.537358 214.735413 \r\nL 109.598237 214.756364 \r\nL 109.719994 198.100315 \r\nL 109.811312 214.756364 \r\nL 109.841752 210.230947 \r\nL 109.872191 214.735413 \r\nL 109.93307 208.63867 \r\nL 110.054828 214.756364 \r\nL 110.085267 200.509681 \r\nL 110.146146 208.052042 \r\nL 110.207025 214.756364 \r\nL 110.267904 213.268842 \r\nL 110.298343 193.470143 \r\nL 110.328782 214.756364 \r\nL 110.359222 209.811927 \r\nL 110.420101 214.756364 \r\nL 110.480979 214.044029 \r\nL 110.541858 214.756364 \r\nL 110.572298 212.032733 \r\nL 110.633176 214.756364 \r\nL 110.663616 214.756364 \r\nL 110.694055 199.441179 \r\nL 110.785374 202.981899 \r\nL 110.907131 214.756364 \r\nL 110.937571 211.110889 \r\nL 110.998449 214.756364 \r\nL 111.089768 209.916682 \r\nL 111.181086 214.756364 \r\nL 111.211525 203.882792 \r\nL 111.272404 207.842532 \r\nL 111.302843 214.756364 \r\nL 111.363722 211.529909 \r\nL 111.424601 212.619361 \r\nL 111.455041 206.669276 \r\nL 111.515919 205.91504 \r\nL 111.576798 214.756364 \r\nL 111.607238 214.756364 \r\nL 111.637677 214.379246 \r\nL 111.789874 196.31948 \r\nL 111.850753 190.369394 \r\nL 111.911632 214.756364 \r\nL 111.942071 214.756364 \r\nL 112.00295 206.522619 \r\nL 112.033389 214.756364 \r\nL 112.155147 214.756364 \r\nL 112.185586 204.804637 \r\nL 112.246465 214.651609 \r\nL 112.276905 214.25354 \r\nL 112.337783 214.756364 \r\nL 112.368223 214.756364 \r\nL 112.398662 214.106882 \r\nL 112.429102 214.756364 \r\nL 112.459541 203.736135 \r\nL 112.52042 214.756364 \r\nL 112.550859 214.651609 \r\nL 112.611738 214.756364 \r\nL 112.672617 211.802272 \r\nL 112.703056 189.426599 \r\nL 112.733496 214.735413 \r\nL 112.763935 205.097951 \r\nL 112.885693 214.756364 \r\nL 112.946571 206.627374 \r\nL 112.977011 214.756364 \r\nL 113.129208 214.756364 \r\nL 113.159647 213.520254 \r\nL 113.190087 201.515329 \r\nL 113.220526 214.023078 \r\nL 113.250966 213.708813 \r\nL 113.311844 214.756364 \r\nL 113.372723 204.86749 \r\nL 113.403163 209.330053 \r\nL 113.433602 214.735413 \r\nL 113.464041 199.692591 \r\nL 113.494481 214.756364 \r\nL 113.52492 213.729764 \r\nL 113.55536 214.756364 \r\nL 113.616238 209.87478 \r\nL 113.646678 214.546854 \r\nL 113.677117 214.735413 \r\nL 113.707557 211.048036 \r\nL 113.798875 212.766018 \r\nL 113.829314 213.038381 \r\nL 113.859754 214.756364 \r\nL 113.981511 188.169539 \r\nL 114.103269 214.756364 \r\nL 114.133708 190.474149 \r\nL 114.194587 214.756364 \r\nL 114.316345 212.933626 \r\nL 114.346784 214.756364 \r\nL 114.377224 210.71282 \r\nL 114.407663 199.713542 \r\nL 114.438102 214.756364 \r\nL 114.468542 214.756364 \r\nL 114.590299 214.756364 \r\nL 114.620739 200.195416 \r\nL 114.712057 208.722474 \r\nL 114.803375 214.756364 \r\nL 114.833815 214.735413 \r\nL 114.925133 211.655615 \r\nL 114.955572 213.666911 \r\nL 114.986012 214.756364 \r\nL 115.016451 213.43645 \r\nL 115.046891 214.46305 \r\nL 115.07733 207.339708 \r\nL 115.168648 209.66527 \r\nL 115.229527 213.268842 \r\nL 115.290406 211.215644 \r\nL 115.320845 205.642677 \r\nL 115.351285 214.756364 \r\nL 115.381724 209.749074 \r\nL 115.533921 214.756364 \r\nL 115.564361 213.687862 \r\nL 115.655679 206.606423 \r\nL 115.746997 214.756364 \r\nL 115.716558 193.700604 \r\nL 115.777436 214.735413 \r\nL 115.838315 193.763457 \r\nL 115.868755 193.910114 \r\nL 115.899194 214.756364 \r\nL 115.990512 212.346998 \r\nL 116.051391 210.754722 \r\nL 116.11227 214.756364 \r\nL 116.142709 211.76037 \r\nL 116.203588 214.756364 \r\nL 116.234027 214.756364 \r\nL 116.264467 213.478352 \r\nL 116.294906 214.756364 \r\nL 116.325346 184.670721 \r\nL 116.386225 214.756364 \r\nL 116.416664 214.044029 \r\nL 116.447103 214.756364 \r\nL 116.477543 196.047117 \r\nL 116.538422 212.786969 \r\nL 116.5993 210.964232 \r\nL 116.690619 214.756364 \r\nL 116.812376 200.404926 \r\nL 116.903694 214.756364 \r\nL 116.934134 196.403284 \r\nL 116.995013 214.756364 \r\nL 117.055891 214.756364 \r\nL 117.086331 213.939274 \r\nL 117.11677 199.650689 \r\nL 117.177649 212.158439 \r\nL 117.208089 214.756364 \r\nL 117.238528 213.939274 \r\nL 117.268967 205.684579 \r\nL 117.329846 214.756364 \r\nL 117.360286 214.484001 \r\nL 117.421164 195.774754 \r\nL 117.451604 210.000486 \r\nL 117.512483 214.756364 \r\nL 117.542922 176.709339 \r\nL 117.63424 184.64977 \r\nL 117.725558 183.874583 \r\nL 117.755998 214.756364 \r\nL 117.786437 214.756364 \r\nL 117.877756 198.959306 \r\nL 117.908195 210.566163 \r\nL 117.938634 212.766018 \r\nL 117.969074 206.522619 \r\nL 118.029953 214.756364 \r\nL 118.060392 214.756364 \r\nL 118.18215 199.399277 \r\nL 118.273468 214.756364 \r\nL 118.303907 205.035098 \r\nL 118.364786 214.756364 \r\nL 118.456104 214.232589 \r\nL 118.486544 214.756364 \r\nL 118.516983 209.476711 \r\nL 118.577862 214.756364 \r\nL 118.608301 213.352646 \r\nL 118.66918 214.735413 \r\nL 118.69962 186.786773 \r\nL 118.760498 214.735413 \r\nL 118.821377 214.756364 \r\nL 118.882256 194.391987 \r\nL 119.034453 214.756364 \r\nL 119.064892 186.409655 \r\nL 119.125771 212.912675 \r\nL 119.156211 214.756364 \r\nL 119.18665 207.025443 \r\nL 119.247529 214.735413 \r\nL 119.277968 213.520254 \r\nL 119.308408 213.562156 \r\nL 119.338847 200.90775 \r\nL 119.399726 213.85547 \r\nL 119.430165 214.756364 \r\nL 119.460605 213.64596 \r\nL 119.491044 208.492013 \r\nL 119.521484 214.756364 \r\nL 119.582362 211.13184 \r\nL 119.673681 214.756364 \r\nL 119.734559 201.766741 \r\nL 119.764999 214.756364 \r\nL 119.795438 214.756364 \r\nL 119.825878 194.685301 \r\nL 119.886756 214.358295 \r\nL 119.917196 214.756364 \r\nL 119.947635 194.999566 \r\nL 120.008514 213.981176 \r\nL 120.069393 214.756364 \r\nL 120.099832 213.687862 \r\nL 120.160711 214.735413 \r\nL 120.19115 193.239682 \r\nL 120.282469 214.714462 \r\nL 120.312908 211.194693 \r\nL 120.343348 180.019598 \r\nL 120.373787 214.358295 \r\nL 120.404226 207.004492 \r\nL 120.465105 200.90775 \r\nL 120.495545 214.756364 \r\nL 120.617302 181.423316 \r\nL 120.678181 214.756364 \r\nL 120.73906 211.13184 \r\nL 120.769499 187.247695 \r\nL 120.830378 208.931984 \r\nL 120.891257 214.756364 \r\nL 120.921696 195.544293 \r\nL 121.013014 204.888441 \r\nL 121.043454 214.735413 \r\nL 121.134772 213.583107 \r\nL 121.165212 209.979535 \r\nL 121.22609 214.756364 \r\nL 121.25653 214.148785 \r\nL 121.286969 210.92233 \r\nL 121.347848 214.756364 \r\nL 121.560924 214.756364 \r\nL 121.621803 198.728845 \r\nL 121.652242 209.686221 \r\nL 121.713121 214.756364 \r\nL 121.74356 207.779679 \r\nL 121.774 203.610429 \r\nL 121.895757 214.756364 \r\nL 121.926197 182.785131 \r\nL 121.987076 214.693511 \r\nL 122.017515 214.756364 \r\nL 122.078394 212.954577 \r\nL 122.108833 214.756364 \r\nL 122.230591 203.694233 \r\nL 122.352348 214.756364 \r\nL 122.382788 214.756364 \r\nL 122.413227 183.979338 \r\nL 122.474106 205.621726 \r\nL 122.504545 214.756364 \r\nL 122.534985 200.090661 \r\nL 122.595864 211.927978 \r\nL 122.687182 211.383252 \r\nL 122.717621 214.756364 \r\nL 122.7785 214.756364 \r\nL 122.80894 210.335702 \r\nL 122.900258 212.493655 \r\nL 122.930697 214.756364 \r\nL 123.022015 183.958387 \r\nL 123.052455 208.533915 \r\nL 123.082894 214.756364 \r\nL 123.113334 201.703888 \r\nL 123.143773 210.482359 \r\nL 123.174212 210.419506 \r\nL 123.265531 200.48873 \r\nL 123.29597 214.756364 \r\nL 123.326409 214.735413 \r\nL 123.356849 187.017234 \r\nL 123.417728 214.756364 \r\nL 123.569925 191.291239 \r\nL 123.691682 214.756364 \r\nL 123.722122 214.735413 \r\nL 123.783001 205.579824 \r\nL 123.81344 189.279942 \r\nL 123.874319 214.735413 \r\nL 123.935198 214.735413 \r\nL 123.996076 214.756364 \r\nL 124.026516 206.669276 \r\nL 124.148273 214.756364 \r\nL 124.178713 214.756364 \r\nL 124.239592 209.581466 \r\nL 124.270031 211.96988 \r\nL 124.300471 214.023078 \r\nL 124.33091 201.201064 \r\nL 124.422228 208.471062 \r\nL 124.513546 214.756364 \r\nL 124.543986 212.326047 \r\nL 124.604865 199.818297 \r\nL 124.635304 207.360659 \r\nL 124.726622 214.756364 \r\nL 124.787501 174.467582 \r\nL 124.81794 214.756364 \r\nL 124.909259 214.735413 \r\nL 124.939698 211.173742 \r\nL 124.970137 186.283949 \r\nL 125.031016 211.907027 \r\nL 125.091895 214.756364 \r\nL 125.152774 214.735413 \r\nL 125.274532 173.252424 \r\nL 125.36585 214.756364 \r\nL 125.396289 214.127834 \r\nL 125.426729 214.735413 \r\nL 125.457168 198.267923 \r\nL 125.518047 214.106882 \r\nL 125.548486 210.775673 \r\nL 125.609365 214.756364 \r\nL 125.639804 211.006134 \r\nL 125.731123 214.735413 \r\nL 125.761562 214.421148 \r\nL 125.822441 214.735413 \r\nL 125.913759 173.399081 \r\nL 125.974638 214.756364 \r\nL 126.035517 206.648325 \r\nL 126.065956 206.585472 \r\nL 126.187714 214.756364 \r\nL 126.248593 214.756364 \r\nL 126.309471 213.562156 \r\nL 126.339911 205.852187 \r\nL 126.37035 214.735413 \r\nL 126.40079 212.996479 \r\nL 126.431229 214.756364 \r\nL 126.461668 214.588756 \r\nL 126.522547 198.41458 \r\nL 126.552987 213.059332 \r\nL 126.705184 214.756364 \r\nL 126.735623 192.192132 \r\nL 126.796502 213.750715 \r\nL 126.91826 214.756364 \r\nL 126.979138 210.021437 \r\nL 127.009578 214.756364 \r\nL 127.040017 214.756364 \r\nL 127.131335 210.461408 \r\nL 127.192214 207.402561 \r\nL 127.253093 214.756364 \r\nL 127.283532 210.377604 \r\nL 127.344411 214.735413 \r\nL 127.374851 214.756364 \r\nL 127.40529 214.46305 \r\nL 127.466169 214.756364 \r\nL 127.527048 199.524983 \r\nL 127.557487 214.735413 \r\nL 127.587927 211.404203 \r\nL 127.618366 177.673086 \r\nL 127.648805 214.756364 \r\nL 127.679245 184.251701 \r\nL 127.801002 214.756364 \r\nL 127.861881 214.756364 \r\nL 127.953199 207.612071 \r\nL 128.014078 214.756364 \r\nL 128.044518 204.532273 \r\nL 128.074957 198.309825 \r\nL 128.105396 214.756364 \r\nL 128.166275 214.756364 \r\nL 128.257593 210.105241 \r\nL 128.348912 214.756364 \r\nL 128.501109 186.430606 \r\nL 128.531548 210.314751 \r\nL 128.592427 206.459766 \r\nL 128.622866 168.349889 \r\nL 128.683745 214.756364 \r\nL 128.714185 214.756364 \r\nL 128.744624 209.749074 \r\nL 128.805503 214.358295 \r\nL 128.835942 214.756364 \r\nL 128.866382 204.993196 \r\nL 128.9577 205.977893 \r\nL 128.988139 214.756364 \r\nL 129.018579 179.537725 \r\nL 129.079457 205.726481 \r\nL 129.170776 214.756364 \r\nL 129.140336 194.727203 \r\nL 129.201215 214.735413 \r\nL 129.231655 214.756364 \r\nL 129.262094 214.169736 \r\nL 129.292533 207.716826 \r\nL 129.322973 214.756364 \r\nL 129.353412 214.756364 \r\nL 129.383852 214.756364 \r\nL 129.414291 214.085931 \r\nL 129.44473 214.358295 \r\nL 129.505609 162.253146 \r\nL 129.536049 191.982622 \r\nL 129.566488 214.735413 \r\nL 129.657806 202.981899 \r\nL 129.688246 193.093025 \r\nL 129.718685 214.756364 \r\nL 129.779564 214.756364 \r\nL 129.810003 188.441902 \r\nL 129.870882 213.164087 \r\nL 129.99264 205.223657 \r\nL 129.931761 214.714462 \r\nL 130.053519 206.166452 \r\nL 130.144837 214.756364 \r\nL 130.175276 214.693511 \r\nL 130.236155 214.735413 \r\nL 130.297034 204.972245 \r\nL 130.388352 214.756364 \r\nL 130.449231 190.620806 \r\nL 130.47967 213.331695 \r\nL 130.540549 214.756364 \r\nL 130.601428 214.358295 \r\nL 130.692746 203.547576 \r\nL 130.753625 197.953658 \r\nL 130.814504 214.756364 \r\nL 130.844943 210.649967 \r\nL 130.905822 211.425154 \r\nL 130.936261 214.756364 \r\nL 130.99714 214.546854 \r\nL 131.058019 203.945645 \r\nL 131.088458 213.939274 \r\nL 131.149337 214.756364 \r\nL 131.179777 207.653973 \r\nL 131.240655 214.756364 \r\nL 131.51461 214.756364 \r\nL 131.54505 182.827033 \r\nL 131.605928 214.106882 \r\nL 131.636368 214.756364 \r\nL 131.758125 205.998844 \r\nL 131.788565 214.756364 \r\nL 131.819004 200.111612 \r\nL 131.849444 213.813568 \r\nL 131.879883 194.643399 \r\nL 131.910322 214.756364 \r\nL 131.940762 212.849822 \r\nL 131.971201 214.756364 \r\nL 132.092959 153.16041 \r\nL 132.184277 214.756364 \r\nL 132.214716 191.752161 \r\nL 132.306035 214.756364 \r\nL 132.336474 205.475069 \r\nL 132.397353 203.568527 \r\nL 132.458232 214.400197 \r\nL 132.488671 202.122908 \r\nL 132.519111 214.714462 \r\nL 132.54955 209.749074 \r\nL 132.671308 214.756364 \r\nL 132.701747 214.735413 \r\nL 132.732186 181.046197 \r\nL 132.793065 214.756364 \r\nL 132.884383 214.756364 \r\nL 132.914823 212.870773 \r\nL 132.945262 214.756364 \r\nL 132.975702 195.942362 \r\nL 133.03658 209.895731 \r\nL 133.06702 213.918323 \r\nL 133.097459 196.214725 \r\nL 133.127899 214.756364 \r\nL 133.158338 199.797346 \r\nL 133.280096 214.735413 \r\nL 133.310535 208.63867 \r\nL 133.340975 209.225298 \r\nL 133.371414 167.260436 \r\nL 133.401853 214.756364 \r\nL 133.432293 214.756364 \r\nL 133.462732 202.730487 \r\nL 133.55405 210.08429 \r\nL 133.645369 214.756364 \r\nL 133.614929 205.600775 \r\nL 133.675808 213.876421 \r\nL 133.736687 214.756364 \r\nL 133.767126 214.735413 \r\nL 133.888884 201.515329 \r\nL 133.828005 214.756364 \r\nL 133.919323 203.861841 \r\nL 133.980202 214.735413 \r\nL 134.010642 214.400197 \r\nL 134.041081 200.949652 \r\nL 134.07152 214.525903 \r\nL 134.10196 203.652331 \r\nL 134.193278 203.128556 \r\nL 134.223717 214.756364 \r\nL 134.345475 198.603139 \r\nL 134.406354 214.756364 \r\nL 134.436793 177.191213 \r\nL 134.497672 211.886076 \r\nL 134.528111 213.876421 \r\nL 134.61943 212.766018 \r\nL 134.680308 214.756364 \r\nL 134.710748 189.02853 \r\nL 134.771627 214.756364 \r\nL 134.802066 214.693511 \r\nL 134.862945 214.756364 \r\nL 134.893384 197.807001 \r\nL 134.954263 214.756364 \r\nL 134.984703 214.735413 \r\nL 135.015142 200.090661 \r\nL 135.076021 212.766018 \r\nL 135.10646 214.756364 \r\nL 135.1369 211.76037 \r\nL 135.167339 206.878786 \r\nL 135.197778 214.756364 \r\nL 135.228218 214.756364 \r\nL 135.258657 170.277381 \r\nL 135.319536 214.358295 \r\nL 135.380415 214.756364 \r\nL 135.441294 214.714462 \r\nL 135.532612 214.735413 \r\nL 135.593491 177.673086 \r\nL 135.684809 214.756364 \r\nL 135.715248 214.735413 \r\nL 135.776127 200.802995 \r\nL 135.806567 214.756364 \r\nL 135.837006 214.735413 \r\nL 135.867445 200.006856 \r\nL 135.928324 204.804637 \r\nL 136.050082 214.756364 \r\nL 136.080521 197.57654 \r\nL 136.1414 202.018153 \r\nL 136.202279 214.756364 \r\nL 136.232718 213.43645 \r\nL 136.293597 214.756364 \r\nL 136.354476 190.956023 \r\nL 136.384915 214.756364 \r\nL 136.476234 213.64596 \r\nL 136.537112 212.284145 \r\nL 136.567552 214.756364 \r\nL 136.597991 209.895731 \r\nL 136.689309 210.356653 \r\nL 136.719749 214.735413 \r\nL 136.811067 212.849822 \r\nL 136.902385 214.756364 \r\nL 136.963264 207.633022 \r\nL 137.024143 211.823223 \r\nL 137.054582 214.735413 \r\nL 137.085022 208.240601 \r\nL 137.115461 214.484001 \r\nL 137.17634 214.756364 \r\nL 137.267658 187.289597 \r\nL 137.389416 214.756364 \r\nL 137.419855 189.02853 \r\nL 137.480734 189.803717 \r\nL 137.572052 214.756364 \r\nL 137.602492 208.827229 \r\nL 137.632931 207.486365 \r\nL 137.754689 214.756364 \r\nL 137.785128 212.3889 \r\nL 137.815567 198.561237 \r\nL 137.876446 214.756364 \r\nL 137.906886 207.067345 \r\nL 137.967765 195.271929 \r\nL 138.028643 214.756364 \r\nL 138.059083 198.540286 \r\nL 138.119962 214.756364 \r\nL 138.21128 204.25991 \r\nL 138.272159 214.756364 \r\nL 138.333037 212.095586 \r\nL 138.363477 211.173742 \r\nL 138.393916 214.546854 \r\nL 138.424356 206.250256 \r\nL 138.454795 213.64596 \r\nL 138.515674 214.756364 \r\nL 138.606992 199.524983 \r\nL 138.69831 214.735413 \r\nL 138.72875 196.10997 \r\nL 138.789629 207.067345 \r\nL 138.820068 211.467056 \r\nL 138.850507 200.865848 \r\nL 138.880947 192.56925 \r\nL 138.911386 214.756364 \r\nL 138.941826 147.231276 \r\nL 139.002704 206.983541 \r\nL 139.033144 214.756364 \r\nL 139.094023 205.831236 \r\nL 139.124462 214.148785 \r\nL 139.154901 202.122908 \r\nL 139.185341 214.756364 \r\nL 139.21578 211.927978 \r\nL 139.276659 214.756364 \r\nL 139.398417 194.811007 \r\nL 139.459295 214.756364 \r\nL 139.520174 210.901379 \r\nL 139.581053 206.480717 \r\nL 139.672371 214.756364 \r\nL 139.702811 212.891724 \r\nL 139.73325 214.756364 \r\nL 139.76369 205.831236 \r\nL 139.824568 211.529909 \r\nL 139.915887 214.756364 \r\nL 139.976765 209.246249 \r\nL 140.007205 214.756364 \r\nL 140.037644 214.379246 \r\nL 140.098523 214.756364 \r\nL 140.128962 214.756364 \r\nL 140.220281 211.76037 \r\nL 140.25072 212.954577 \r\nL 140.311599 214.756364 \r\nL 140.342038 209.246249 \r\nL 140.402917 214.735413 \r\nL 140.463796 209.728123 \r\nL 140.494235 214.735413 \r\nL 140.524675 214.756364 \r\nL 140.555114 185.927781 \r\nL 140.615993 214.735413 \r\nL 140.646432 214.756364 \r\nL 140.76819 211.048036 \r\nL 140.798629 214.756364 \r\nL 140.829069 199.483081 \r\nL 140.889948 206.920688 \r\nL 140.920387 214.756364 \r\nL 140.950826 214.693511 \r\nL 140.981266 193.868212 \r\nL 141.011705 214.756364 \r\nL 141.072584 203.107605 \r\nL 141.163902 214.756364 \r\nL 141.194342 212.556508 \r\nL 141.255221 214.756364 \r\nL 141.316099 205.579824 \r\nL 141.346539 214.756364 \r\nL 141.376978 213.080283 \r\nL 141.407418 214.756364 \r\nL 141.529175 199.357375 \r\nL 141.590054 208.554866 \r\nL 141.620493 214.756364 \r\nL 141.742251 183.287955 \r\nL 141.77269 211.236595 \r\nL 141.80313 170.25643 \r\nL 141.864009 206.774031 \r\nL 141.894448 214.756364 \r\nL 141.985766 214.735413 \r\nL 142.046645 201.829594 \r\nL 142.077085 214.756364 \r\nL 142.107524 212.619361 \r\nL 142.137963 159.969487 \r\nL 142.198842 214.756364 \r\nL 142.259721 193.281584 \r\nL 142.29016 214.756364 \r\nL 142.3206 214.421148 \r\nL 142.351039 214.735413 \r\nL 142.472797 203.191409 \r\nL 142.533676 214.756364 \r\nL 142.594554 212.367949 \r\nL 142.685873 202.688585 \r\nL 142.80763 214.756364 \r\nL 142.83807 211.96988 \r\nL 142.898949 214.190687 \r\nL 142.959827 214.756364 \r\nL 142.990267 214.127834 \r\nL 143.051146 214.756364 \r\nL 143.081585 195.062419 \r\nL 143.112024 214.756364 \r\nL 143.172903 183.81173 \r\nL 143.203343 213.268842 \r\nL 143.264221 210.754722 \r\nL 143.294661 211.990831 \r\nL 143.416418 214.756364 \r\nL 143.446858 214.756364 \r\nL 143.477297 213.520254 \r\nL 143.507737 206.836884 \r\nL 143.599055 210.566163 \r\nL 143.629494 210.524261 \r\nL 143.690373 206.250256 \r\nL 143.751252 201.578182 \r\nL 143.781691 214.756364 \r\nL 143.84257 180.815736 \r\nL 143.87301 214.756364 \r\nL 143.903449 214.756364 \r\nL 143.933888 214.421148 \r\nL 143.994767 214.756364 \r\nL 144.025207 214.735413 \r\nL 144.055646 212.472704 \r\nL 144.086085 214.756364 \r\nL 144.116525 161.729371 \r\nL 144.177404 214.756364 \r\nL 144.207843 212.912675 \r\nL 144.238282 184.733574 \r\nL 144.268722 214.735413 \r\nL 144.299161 210.063339 \r\nL 144.36004 204.406567 \r\nL 144.39048 214.756364 \r\nL 144.420919 191.961671 \r\nL 144.481798 205.642677 \r\nL 144.573116 214.756364 \r\nL 144.542677 202.772389 \r\nL 144.603555 214.735413 \r\nL 144.633995 214.735413 \r\nL 144.755752 201.159162 \r\nL 144.87751 214.756364 \r\nL 144.907949 189.112334 \r\nL 144.968828 214.756364 \r\nL 145.060146 207.046394 \r\nL 145.090586 210.964232 \r\nL 145.151465 209.015788 \r\nL 145.181904 214.756364 \r\nL 145.273222 211.299448 \r\nL 145.334101 214.756364 \r\nL 145.364541 209.45576 \r\nL 145.39498 214.735413 \r\nL 145.425419 214.756364 \r\nL 145.455859 214.044029 \r\nL 145.516738 214.756364 \r\nL 145.547177 214.735413 \r\nL 145.577616 192.171181 \r\nL 145.608056 214.756364 \r\nL 145.668935 204.490371 \r\nL 145.699374 190.578904 \r\nL 145.729813 214.756364 \r\nL 145.760253 212.284145 \r\nL 145.821132 214.756364 \r\nL 145.91245 196.508039 \r\nL 145.973329 214.756364 \r\nL 146.034208 212.3889 \r\nL 146.064647 214.756364 \r\nL 146.155965 202.939997 \r\nL 146.186405 203.861841 \r\nL 146.308162 214.756364 \r\nL 146.338602 214.756364 \r\nL 146.42992 198.226021 \r\nL 146.460359 205.873138 \r\nL 146.521238 214.756364 \r\nL 146.582117 195.711901 \r\nL 146.612556 214.756364 \r\nL 146.673435 212.472704 \r\nL 146.703874 214.756364 \r\nL 146.734314 205.726481 \r\nL 146.795193 214.609707 \r\nL 146.825632 214.232589 \r\nL 146.856072 214.756364 \r\nL 146.91695 205.600775 \r\nL 146.977829 209.937633 \r\nL 147.008269 172.079168 \r\nL 147.038708 214.756364 \r\nL 147.069147 206.501668 \r\nL 147.130026 203.882792 \r\nL 147.190905 214.756364 \r\nL 147.221344 214.421148 \r\nL 147.251784 201.9553 \r\nL 147.312663 212.577459 \r\nL 147.373541 214.756364 \r\nL 147.43442 206.857835 \r\nL 147.46486 188.064784 \r\nL 147.495299 213.01743 \r\nL 147.525738 211.634664 \r\nL 147.556178 200.970603 \r\nL 147.586617 214.756364 \r\nL 147.617057 207.821581 \r\nL 147.677936 214.756364 \r\nL 147.738814 214.735413 \r\nL 147.769254 210.587114 \r\nL 147.830133 211.173742 \r\nL 147.921451 214.756364 \r\nL 147.95189 214.735413 \r\nL 148.043208 179.956745 \r\nL 148.164966 214.756364 \r\nL 148.195405 213.43645 \r\nL 148.256284 214.756364 \r\nL 148.286724 187.645764 \r\nL 148.408481 214.756364 \r\nL 148.4998 209.183396 \r\nL 148.530239 210.880428 \r\nL 148.560678 214.651609 \r\nL 148.591118 199.294522 \r\nL 148.651997 214.735413 \r\nL 148.712875 214.756364 \r\nL 148.743315 207.653973 \r\nL 148.773754 214.651609 \r\nL 148.834633 214.756364 \r\nL 148.865072 187.247695 \r\nL 148.895512 214.756364 \r\nL 148.98683 200.970603 \r\nL 149.108588 214.756364 \r\nL 149.139027 187.35245 \r\nL 149.199906 213.22694 \r\nL 149.291224 203.00285 \r\nL 149.382542 214.756364 \r\nL 149.352103 201.494378 \r\nL 149.412982 212.137488 \r\nL 149.443421 214.756364 \r\nL 149.473861 189.908472 \r\nL 149.534739 210.168094 \r\nL 149.565179 210.754722 \r\nL 149.595618 214.756364 \r\nL 149.717376 160.24185 \r\nL 149.839133 214.756364 \r\nL 149.869573 179.705333 \r\nL 149.930452 214.756364 \r\nL 149.960891 214.756364 \r\nL 150.052209 195.711901 \r\nL 150.143528 190.976974 \r\nL 150.173967 214.756364 \r\nL 150.204406 214.756364 \r\nL 150.295725 170.926862 \r\nL 150.326164 193.595849 \r\nL 150.387043 214.756364 \r\nL 150.447922 212.996479 \r\nL 150.478361 214.756364 \r\nL 150.5088 211.676566 \r\nL 150.53924 178.657783 \r\nL 150.569679 214.756364 \r\nL 150.600119 211.215644 \r\nL 150.721876 214.756364 \r\nL 150.752316 214.651609 \r\nL 150.782755 214.756364 \r\nL 150.813195 207.716826 \r\nL 150.874073 214.756364 \r\nL 150.904513 212.891724 \r\nL 150.965392 213.415499 \r\nL 150.995831 214.756364 \r\nL 151.02627 200.069709 \r\nL 151.117589 207.905385 \r\nL 151.178467 214.756364 \r\nL 151.208907 190.557953 \r\nL 151.269786 214.756364 \r\nL 151.300225 214.756364 \r\nL 151.330664 204.553224 \r\nL 151.391543 211.508958 \r\nL 151.421983 214.756364 \r\nL 151.482861 214.735413 \r\nL 151.57418 207.570169 \r\nL 151.695937 214.756364 \r\nL 151.756816 214.735413 \r\nL 151.787256 208.533915 \r\nL 151.817695 214.756364 \r\nL 151.848134 214.735413 \r\nL 151.969892 214.756364 \r\nL 152.09165 208.471062 \r\nL 152.213407 214.756364 \r\nL 152.243847 214.756364 \r\nL 152.335165 209.099592 \r\nL 152.365604 210.649967 \r\nL 152.456923 214.756364 \r\nL 152.426483 208.366307 \r\nL 152.487362 212.724116 \r\nL 152.548241 189.992276 \r\nL 152.57868 204.846539 \r\nL 152.700438 214.756364 \r\nL 152.791756 194.685301 \r\nL 152.822195 214.756364 \r\nL 152.913514 214.735413 \r\nL 152.943953 214.756364 \r\nL 152.974392 193.470143 \r\nL 153.035271 214.735413 \r\nL 153.09615 213.038381 \r\nL 153.126589 213.771666 \r\nL 153.157029 214.756364 \r\nL 153.187468 214.735413 \r\nL 153.278787 212.17939 \r\nL 153.370105 214.756364 \r\nL 153.491862 210.000486 \r\nL 153.522302 214.106882 \r\nL 153.552741 212.996479 \r\nL 153.583181 180.208157 \r\nL 153.644059 186.807724 \r\nL 153.704938 209.811927 \r\nL 153.765817 197.031814 \r\nL 153.857135 214.148785 \r\nL 153.887575 203.400919 \r\nL 154.039772 214.756364 \r\nL 154.161529 209.309102 \r\nL 154.222408 214.756364 \r\nL 154.283287 195.565244 \r\nL 154.313726 210.901379 \r\nL 154.374605 208.994837 \r\nL 154.465923 214.756364 \r\nL 154.61812 153.495627 \r\nL 154.678999 214.756364 \r\nL 154.739878 214.714462 \r\nL 154.770317 214.735413 \r\nL 154.831196 214.756364 \r\nL 154.861636 198.959306 \r\nL 154.952954 214.756364 \r\nL 155.074712 200.823946 \r\nL 155.16603 214.756364 \r\nL 155.196469 214.735413 \r\nL 155.257348 214.735413 \r\nL 155.379106 197.869854 \r\nL 155.500863 214.756364 \r\nL 155.531303 209.141494 \r\nL 155.622621 211.634664 \r\nL 155.65306 209.204347 \r\nL 155.6835 214.756364 \r\nL 155.713939 211.383252 \r\nL 155.744379 213.813568 \r\nL 155.774818 195.167174 \r\nL 155.805257 214.756364 \r\nL 155.835697 213.729764 \r\nL 155.866136 214.756364 \r\nL 156.018333 198.770747 \r\nL 156.048773 210.398555 \r\nL 156.079212 135.854881 \r\nL 156.109651 214.756364 \r\nL 156.140091 195.984264 \r\nL 156.20097 214.756364 \r\nL 156.231409 210.754722 \r\nL 156.261848 183.706975 \r\nL 156.322727 214.756364 \r\nL 156.353167 214.756364 \r\nL 156.474924 196.466137 \r\nL 156.627121 214.756364 \r\nL 156.657561 214.756364 \r\nL 156.688 192.485446 \r\nL 156.748879 214.735413 \r\nL 156.779318 213.520254 \r\nL 156.840197 214.735413 \r\nL 156.870637 214.735413 \r\nL 156.901076 213.289793 \r\nL 156.961955 201.180113 \r\nL 157.022834 208.806278 \r\nL 157.053273 205.956942 \r\nL 157.175031 214.756364 \r\nL 157.23591 214.756364 \r\nL 157.266349 213.64596 \r\nL 157.296788 214.756364 \r\nL 157.357667 189.175187 \r\nL 157.388107 214.735413 \r\nL 157.418546 214.735413 \r\nL 157.509864 208.659621 \r\nL 157.540304 209.749074 \r\nL 157.662061 214.756364 \r\nL 157.692501 214.25354 \r\nL 157.72294 191.794063 \r\nL 157.783819 208.659621 \r\nL 157.844698 205.475069 \r\nL 157.936016 214.756364 \r\nL 157.966455 178.846342 \r\nL 158.027334 204.092302 \r\nL 158.057774 205.307461 \r\nL 158.088213 214.756364 \r\nL 158.179531 209.560515 \r\nL 158.209971 203.652331 \r\nL 158.24041 214.756364 \r\nL 158.270849 207.255904 \r\nL 158.362168 214.756364 \r\nL 158.392607 211.676566 \r\nL 158.483925 214.756364 \r\nL 158.514365 207.234953 \r\nL 158.575243 214.735413 \r\nL 158.605683 214.756364 \r\nL 158.666562 206.732129 \r\nL 158.72744 211.425154 \r\nL 158.849198 214.756364 \r\nL 158.910077 214.735413 \r\nL 158.970956 214.756364 \r\nL 159.031835 211.215644 \r\nL 159.092713 214.756364 \r\nL 159.153592 198.540286 \r\nL 159.184032 214.756364 \r\nL 159.214471 214.756364 \r\nL 159.27535 196.780402 \r\nL 159.305789 208.701523 \r\nL 159.336229 214.756364 \r\nL 159.397107 207.444463 \r\nL 159.427547 211.13184 \r\nL 159.488426 214.756364 \r\nL 159.549304 213.541205 \r\nL 159.579744 172.644845 \r\nL 159.610183 214.756364 \r\nL 159.671062 198.435531 \r\nL 159.76238 214.756364 \r\nL 159.823259 214.609707 \r\nL 159.853699 207.612071 \r\nL 159.914577 214.756364 \r\nL 160.005896 214.735413 \r\nL 160.158093 197.953658 \r\nL 160.249411 214.756364 \r\nL 160.31029 177.233115 \r\nL 160.371168 209.770025 \r\nL 160.432047 207.716826 \r\nL 160.492926 214.756364 \r\nL 160.523366 214.735413 \r\nL 160.553805 175.640838 \r\nL 160.614684 214.756364 \r\nL 160.645123 214.609707 \r\nL 160.675563 213.01743 \r\nL 160.706002 214.756364 \r\nL 160.736441 214.756364 \r\nL 160.858199 187.310548 \r\nL 160.979957 214.756364 \r\nL 161.101714 214.756364 \r\nL 161.193032 214.756364 \r\nL 161.223472 163.300697 \r\nL 161.284351 203.191409 \r\nL 161.436548 214.756364 \r\nL 161.527866 203.149507 \r\nL 161.558305 210.314751 \r\nL 161.588745 213.520254 \r\nL 161.619184 179.705333 \r\nL 161.680063 214.190687 \r\nL 161.710502 214.735413 \r\nL 161.740942 183.099396 \r\nL 161.83226 200.467779 \r\nL 161.862699 201.075358 \r\nL 161.954018 214.756364 \r\nL 161.923578 197.974609 \r\nL 161.984457 211.13184 \r\nL 162.014896 211.571811 \r\nL 162.045336 214.337344 \r\nL 162.075775 183.371759 \r\nL 162.106215 214.756364 \r\nL 162.136654 198.121266 \r\nL 162.227972 214.756364 \r\nL 162.258412 212.870773 \r\nL 162.319291 212.786969 \r\nL 162.380169 214.756364 \r\nL 162.441048 214.588756 \r\nL 162.471488 214.735413 \r\nL 162.501927 212.619361 \r\nL 162.532366 214.274491 \r\nL 162.562806 186.011585 \r\nL 162.593245 214.756364 \r\nL 162.623685 208.512964 \r\nL 162.715003 214.756364 \r\nL 162.745442 214.735413 \r\nL 162.83676 214.756364 \r\nL 162.897639 198.016511 \r\nL 162.988958 214.756364 \r\nL 163.019397 209.392906 \r\nL 163.049836 209.351004 \r\nL 163.080276 211.508958 \r\nL 163.141155 204.951294 \r\nL 163.171594 214.735413 \r\nL 163.232473 214.756364 \r\nL 163.262912 211.299448 \r\nL 163.323791 210.649967 \r\nL 163.35423 214.756364 \r\nL 163.415109 201.641035 \r\nL 163.445549 214.735413 \r\nL 163.506427 214.756364 \r\nL 163.536867 213.729764 \r\nL 163.597746 214.756364 \r\nL 163.628185 214.756364 \r\nL 163.719503 191.815014 \r\nL 163.780382 214.756364 \r\nL 163.841261 214.023078 \r\nL 163.8717 202.688585 \r\nL 163.932579 208.743425 \r\nL 163.963019 214.756364 \r\nL 164.023897 212.912675 \r\nL 164.054337 202.939997 \r\nL 164.084776 214.756364 \r\nL 164.145655 205.097951 \r\nL 164.206534 214.756364 \r\nL 164.236973 202.541928 \r\nL 164.267413 189.971325 \r\nL 164.297852 214.756364 \r\nL 164.328291 205.852187 \r\nL 164.38917 214.756364 \r\nL 164.480489 212.870773 \r\nL 164.510928 212.59841 \r\nL 164.541367 192.611152 \r\nL 164.602246 213.520254 \r\nL 164.632686 213.64596 \r\nL 164.663125 208.827229 \r\nL 164.693564 214.756364 \r\nL 164.724004 209.937633 \r\nL 164.815322 214.756364 \r\nL 164.90664 193.658702 \r\nL 164.93708 202.143859 \r\nL 165.058837 214.756364 \r\nL 165.089277 214.735413 \r\nL 165.180595 214.756364 \r\nL 165.211034 195.544293 \r\nL 165.271913 210.461408 \r\nL 165.393671 214.756364 \r\nL 165.42411 196.675647 \r\nL 165.484989 204.071351 \r\nL 165.545868 214.735413 \r\nL 165.576307 199.504032 \r\nL 165.667625 208.994837 \r\nL 165.728504 214.756364 \r\nL 165.758944 212.221292 \r\nL 165.819822 192.317838 \r\nL 165.880701 206.313109 \r\nL 166.032898 214.756364 \r\nL 166.154656 198.770747 \r\nL 166.245974 214.756364 \r\nL 166.276414 208.764376 \r\nL 166.306853 214.756364 \r\nL 166.337292 200.635387 \r\nL 166.367732 208.031091 \r\nL 166.398171 192.77876 \r\nL 166.45905 214.756364 \r\nL 166.702565 214.756364 \r\nL 166.733005 185.005937 \r\nL 166.793883 186.221096 \r\nL 166.824323 214.735413 \r\nL 166.915641 208.554866 \r\nL 166.946081 214.756364 \r\nL 166.97652 214.002127 \r\nL 167.006959 195.711901 \r\nL 167.098278 201.74579 \r\nL 167.189596 214.756364 \r\nL 167.220035 209.560515 \r\nL 167.250475 209.853829 \r\nL 167.311353 214.756364 \r\nL 167.341793 184.272652 \r\nL 167.402672 210.356653 \r\nL 167.433111 214.735413 \r\nL 167.49399 214.756364 \r\nL 167.554869 188.525706 \r\nL 167.646187 214.148785 \r\nL 167.676626 208.533915 \r\nL 167.707066 214.756364 \r\nL 167.737505 195.523342 \r\nL 167.798384 213.64596 \r\nL 167.889702 198.519335 \r\nL 167.950581 201.976251 \r\nL 168.041899 214.756364 \r\nL 168.072339 210.419506 \r\nL 168.102778 211.299448 \r\nL 168.133217 210.796624 \r\nL 168.163657 192.862564 \r\nL 168.194096 214.756364 \r\nL 168.224536 199.441179 \r\nL 168.285414 214.756364 \r\nL 168.346293 210.629016 \r\nL 168.407172 190.956023 \r\nL 168.437611 204.888441 \r\nL 168.52893 214.756364 \r\nL 168.559369 214.735413 \r\nL 168.589809 199.88115 \r\nL 168.650687 214.756364 \r\nL 168.772445 205.056049 \r\nL 168.833324 207.255904 \r\nL 168.955081 214.756364 \r\nL 169.076839 204.720832 \r\nL 169.168157 214.756364 \r\nL 169.198597 212.912675 \r\nL 169.289915 214.756364 \r\nL 169.320354 214.735413 \r\nL 169.442112 194.287232 \r\nL 169.56387 214.756364 \r\nL 169.685627 181.884238 \r\nL 169.807385 214.756364 \r\nL 169.837824 200.048758 \r\nL 169.898703 208.072993 \r\nL 169.959582 214.756364 \r\nL 169.990021 207.695875 \r\nL 170.020461 210.189045 \r\nL 170.111779 214.756364 \r\nL 170.142218 187.059136 \r\nL 170.203097 213.059332 \r\nL 170.233537 210.796624 \r\nL 170.263976 213.331695 \r\nL 170.324855 211.404203 \r\nL 170.385734 214.756364 \r\nL 170.446612 214.756364 \r\nL 170.477052 210.733771 \r\nL 170.537931 214.735413 \r\nL 170.629249 214.756364 \r\nL 170.659688 204.406567 \r\nL 170.720567 208.21965 \r\nL 170.842325 214.756364 \r\nL 170.933643 196.298529 \r\nL 170.964082 211.446105 \r\nL 170.994522 214.756364 \r\nL 171.024961 211.655615 \r\nL 171.08584 214.756364 \r\nL 171.116279 197.597491 \r\nL 171.207598 214.756364 \r\nL 171.238037 201.159162 \r\nL 171.298916 205.894089 \r\nL 171.359795 214.756364 \r\nL 171.420673 214.190687 \r\nL 171.451113 214.756364 \r\nL 171.511992 210.314751 \r\nL 171.57287 213.164087 \r\nL 171.60331 214.756364 \r\nL 171.633749 213.352646 \r\nL 171.664189 190.599855 \r\nL 171.725068 214.735413 \r\nL 171.846825 200.530632 \r\nL 171.907704 213.268842 \r\nL 171.938143 192.56925 \r\nL 171.999022 205.621726 \r\nL 172.029462 206.522619 \r\nL 172.09034 195.334782 \r\nL 172.151219 214.756364 \r\nL 172.242537 206.187403 \r\nL 172.272977 211.55086 \r\nL 172.303416 208.492013 \r\nL 172.333856 210.901379 \r\nL 172.364295 188.420951 \r\nL 172.425174 209.811927 \r\nL 172.455613 214.546854 \r\nL 172.486053 210.985183 \r\nL 172.546932 214.756364 \r\nL 172.60781 194.119624 \r\nL 172.760007 214.756364 \r\nL 172.820886 199.839248 \r\nL 172.851326 214.756364 \r\nL 172.881765 214.756364 \r\nL 172.973083 173.776199 \r\nL 173.064401 214.756364 \r\nL 173.094841 212.095586 \r\nL 173.12528 186.744871 \r\nL 173.15572 214.756364 \r\nL 173.186159 213.164087 \r\nL 173.216598 213.352646 \r\nL 173.277477 214.735413 \r\nL 173.368796 214.756364 \r\nL 173.399235 165.521503 \r\nL 173.520993 214.756364 \r\nL 173.551432 214.756364 \r\nL 173.581871 209.05769 \r\nL 173.64275 212.032733 \r\nL 173.67319 214.756364 \r\nL 173.703629 164.997728 \r\nL 173.764508 204.783686 \r\nL 173.794947 214.756364 \r\nL 173.886265 211.027085 \r\nL 174.008023 214.756364 \r\nL 174.038462 214.756364 \r\nL 174.16022 193.6168 \r\nL 174.251538 214.756364 \r\nL 174.281978 213.205989 \r\nL 174.342857 214.756364 \r\nL 174.464614 191.333141 \r\nL 174.555932 214.756364 \r\nL 174.586372 210.775673 \r\nL 174.647251 208.890082 \r\nL 174.708129 214.756364 \r\nL 174.738569 209.162445 \r\nL 174.769008 183.099396 \r\nL 174.799448 214.756364 \r\nL 174.829887 196.235676 \r\nL 174.951645 214.756364 \r\nL 174.982084 208.722474 \r\nL 175.042963 214.546854 \r\nL 175.073402 213.289793 \r\nL 175.103842 191.815014 \r\nL 175.19516 199.88115 \r\nL 175.408236 214.756364 \r\nL 175.469115 214.525903 \r\nL 175.499554 214.756364 \r\nL 175.529993 214.232589 \r\nL 175.621312 205.307461 \r\nL 175.71263 214.756364 \r\nL 175.743069 208.869131 \r\nL 175.864827 214.756364 \r\nL 176.017024 194.685301 \r\nL 176.077903 193.993918 \r\nL 176.138782 214.756364 \r\nL 176.260539 214.756364 \r\nL 176.290979 199.147865 \r\nL 176.351857 214.756364 \r\nL 176.443176 209.288151 \r\nL 176.473615 198.226021 \r\nL 176.504054 214.756364 \r\nL 176.534494 209.330053 \r\nL 176.564933 213.101234 \r\nL 176.595373 188.106686 \r\nL 176.625812 214.756364 \r\nL 176.656252 214.735413 \r\nL 176.686691 214.756364 \r\nL 176.71713 204.197057 \r\nL 176.778009 212.870773 \r\nL 176.808449 212.409851 \r\nL 176.838888 214.525903 \r\nL 176.869327 213.01743 \r\nL 176.899767 202.688585 \r\nL 176.930206 214.756364 \r\nL 176.960646 214.756364 \r\nL 177.051964 213.960225 \r\nL 177.082403 214.756364 \r\nL 177.112843 194.769105 \r\nL 177.173721 214.316393 \r\nL 177.204161 214.756364 \r\nL 177.2346 195.271929 \r\nL 177.295479 198.058413 \r\nL 177.386797 214.756364 \r\nL 177.417237 204.46942 \r\nL 177.447676 214.756364 \r\nL 177.538994 208.869131 \r\nL 177.569434 208.785327 \r\nL 177.660752 214.756364 \r\nL 177.630313 206.96259 \r\nL 177.691191 214.735413 \r\nL 177.721631 207.214002 \r\nL 177.78251 214.756364 \r\nL 177.812949 214.756364 \r\nL 177.873828 182.575621 \r\nL 177.904267 213.960225 \r\nL 177.934707 214.735413 \r\nL 177.965146 211.383252 \r\nL 177.995585 188.420951 \r\nL 178.026025 213.583107 \r\nL 178.056464 196.424235 \r\nL 178.117343 214.756364 \r\nL 178.178222 214.735413 \r\nL 178.239101 214.756364 \r\nL 178.26954 177.819743 \r\nL 178.360858 214.756364 \r\nL 178.391298 211.383252 \r\nL 178.421737 214.756364 \r\nL 178.452177 212.954577 \r\nL 178.482616 197.765099 \r\nL 178.573934 205.726481 \r\nL 178.604374 206.019795 \r\nL 178.695692 214.756364 \r\nL 178.726131 205.077 \r\nL 178.78701 214.693511 \r\nL 178.847889 214.756364 \r\nL 178.878328 214.421148 \r\nL 178.908768 214.714462 \r\nL 178.939207 211.844174 \r\nL 178.969647 193.051123 \r\nL 179.030525 214.756364 \r\nL 179.060965 207.255904 \r\nL 179.121844 214.756364 \r\nL 179.213162 211.027085 \r\nL 179.274041 192.548299 \r\nL 179.30448 213.750715 \r\nL 179.334919 214.756364 \r\nL 179.426238 214.358295 \r\nL 179.456677 214.756364 \r\nL 179.487116 214.609707 \r\nL 179.547995 189.887521 \r\nL 179.578435 214.756364 \r\nL 179.639313 214.756364 \r\nL 179.669753 214.504952 \r\nL 179.700192 205.349363 \r\nL 179.730632 214.756364 \r\nL 179.761071 214.756364 \r\nL 179.882829 200.237318 \r\nL 179.913268 214.756364 \r\nL 180.004586 206.564521 \r\nL 180.065465 205.097951 \r\nL 180.095905 195.062419 \r\nL 180.126344 208.994837 \r\nL 180.156783 203.715184 \r\nL 180.278541 214.756364 \r\nL 180.400299 206.145501 \r\nL 180.430738 214.756364 \r\nL 180.461177 208.114895 \r\nL 180.491617 186.577263 \r\nL 180.552496 214.735413 \r\nL 180.643814 214.756364 \r\nL 180.735132 204.783686 \r\nL 180.85689 214.756364 \r\nL 180.887329 214.756364 \r\nL 180.978647 210.92233 \r\nL 181.100405 179.055852 \r\nL 181.191723 214.756364 \r\nL 181.222163 209.853829 \r\nL 181.252602 214.756364 \r\nL 181.283041 196.466137 \r\nL 181.37436 199.692591 \r\nL 181.465678 195.041468 \r\nL 181.526557 214.756364 \r\nL 181.556996 214.735413 \r\nL 181.587436 200.27922 \r\nL 181.648314 214.756364 \r\nL 181.709193 214.756364 \r\nL 181.739633 204.25991 \r\nL 181.800511 214.756364 \r\nL 181.830951 214.756364 \r\nL 181.86139 158.607672 \r\nL 181.922269 201.9553 \r\nL 181.952708 198.037462 \r\nL 181.983148 208.198699 \r\nL 182.013587 208.911033 \r\nL 182.044027 201.829594 \r\nL 182.074466 214.756364 \r\nL 182.104905 214.756364 \r\nL 182.135345 199.713542 \r\nL 182.196224 207.193051 \r\nL 182.226663 214.756364 \r\nL 182.257103 182.659425 \r\nL 182.317981 210.042388 \r\nL 182.348421 214.756364 \r\nL 182.4093 208.63867 \r\nL 182.439739 210.775673 \r\nL 182.470178 208.408209 \r\nL 182.531057 205.768383 \r\nL 182.622375 214.756364 \r\nL 182.652815 204.155155 \r\nL 182.713694 207.004492 \r\nL 182.744133 213.960225 \r\nL 182.774572 211.718468 \r\nL 182.805012 202.122908 \r\nL 182.835451 214.756364 \r\nL 182.89633 207.528267 \r\nL 183.018088 214.756364 \r\nL 183.109406 214.756364 \r\nL 183.139845 211.299448 \r\nL 183.170285 193.470143 \r\nL 183.200724 213.771666 \r\nL 183.261603 193.574898 \r\nL 183.292042 192.317838 \r\nL 183.322482 214.756364 \r\nL 183.4138 210.964232 \r\nL 183.444239 214.756364 \r\nL 183.535558 188.253343 \r\nL 183.626876 214.756364 \r\nL 183.657315 212.346998 \r\nL 183.687755 214.756364 \r\nL 183.718194 209.036739 \r\nL 183.748633 214.735413 \r\nL 183.809512 207.989189 \r\nL 183.839952 214.756364 \r\nL 183.870391 209.916682 \r\nL 183.992149 214.756364 \r\nL 184.083467 206.857835 \r\nL 184.144346 214.756364 \r\nL 184.174785 211.613713 \r\nL 184.205225 200.551583 \r\nL 184.266103 214.756364 \r\nL 184.296543 214.756364 \r\nL 184.387861 203.191409 \r\nL 184.509619 214.756364 \r\nL 184.540058 208.994837 \r\nL 184.600937 214.756364 \r\nL 184.631376 214.756364 \r\nL 184.661816 195.523342 \r\nL 184.722695 214.756364 \r\nL 184.783573 214.756364 \r\nL 184.93577 200.404926 \r\nL 184.96621 214.735413 \r\nL 185.057528 213.541205 \r\nL 185.118407 214.044029 \r\nL 185.240164 192.275936 \r\nL 185.331483 187.373401 \r\nL 185.361922 214.756364 \r\nL 185.392362 203.882792 \r\nL 185.45324 213.981176 \r\nL 185.48368 214.756364 \r\nL 185.544559 180.103402 \r\nL 185.574998 214.756364 \r\nL 185.605437 214.756364 \r\nL 185.757634 190.599855 \r\nL 185.788074 192.171181 \r\nL 185.818513 181.695679 \r\nL 185.909831 214.756364 \r\nL 185.940271 203.149507 \r\nL 185.97071 214.756364 \r\nL 186.031589 202.16481 \r\nL 186.062028 213.22694 \r\nL 186.092468 195.271929 \r\nL 186.153347 207.130198 \r\nL 186.214226 214.756364 \r\nL 186.244665 207.402561 \r\nL 186.305544 213.981176 \r\nL 186.396862 211.236595 \r\nL 186.427301 207.758728 \r\nL 186.457741 214.756364 \r\nL 186.48818 212.661263 \r\nL 186.51862 210.733771 \r\nL 186.609938 214.756364 \r\nL 186.640377 168.035624 \r\nL 186.701256 210.461408 \r\nL 186.762135 208.303454 \r\nL 186.792574 195.942362 \r\nL 186.823014 214.756364 \r\nL 186.853453 198.184119 \r\nL 186.975211 214.756364 \r\nL 187.00565 191.668357 \r\nL 187.066529 209.476711 \r\nL 187.096968 214.756364 \r\nL 187.188287 170.486891 \r\nL 187.310044 214.756364 \r\nL 187.340484 214.756364 \r\nL 187.431802 200.928701 \r\nL 187.462241 214.316393 \r\nL 187.492681 199.294522 \r\nL 187.553559 208.84818 \r\nL 187.614438 210.901379 \r\nL 187.644878 194.978615 \r\nL 187.705756 212.80792 \r\nL 187.736196 210.042388 \r\nL 187.857954 183.853632 \r\nL 187.827514 210.92233 \r\nL 187.888393 186.996283 \r\nL 187.949272 214.756364 \r\nL 187.979711 214.735413 \r\nL 188.010151 192.024524 \r\nL 188.04059 214.756364 \r\nL 188.071029 214.756364 \r\nL 188.162348 206.648325 \r\nL 188.192787 164.432051 \r\nL 188.253666 208.701523 \r\nL 188.284105 207.653973 \r\nL 188.314545 213.897372 \r\nL 188.344984 202.332418 \r\nL 188.405863 210.000486 \r\nL 188.436302 214.756364 \r\nL 188.466742 190.055129 \r\nL 188.52762 214.756364 \r\nL 188.55806 214.044029 \r\nL 188.588499 214.756364 \r\nL 188.710257 204.993196 \r\nL 188.801575 214.756364 \r\nL 188.832015 214.735413 \r\nL 188.862454 214.567805 \r\nL 188.892893 199.105963 \r\nL 188.984212 206.585472 \r\nL 189.136409 214.756364 \r\nL 189.166848 164.369198 \r\nL 189.227727 214.756364 \r\nL 189.319045 200.048758 \r\nL 189.440803 214.756364 \r\nL 189.471242 214.023078 \r\nL 189.501682 204.322763 \r\nL 189.56256 212.724116 \r\nL 189.623439 214.756364 \r\nL 189.653879 194.475791 \r\nL 189.714757 214.756364 \r\nL 189.836515 194.203428 \r\nL 189.866954 205.894089 \r\nL 189.927833 194.894811 \r\nL 189.958273 214.756364 \r\nL 189.988712 193.931065 \r\nL 190.049591 214.274491 \r\nL 190.08003 214.756364 \r\nL 190.11047 202.772389 \r\nL 190.201788 207.59112 \r\nL 190.323546 214.756364 \r\nL 190.353985 214.421148 \r\nL 190.384424 214.756364 \r\nL 190.414864 197.953658 \r\nL 190.475743 209.183396 \r\nL 190.62794 214.756364 \r\nL 190.658379 214.756364 \r\nL 190.688818 189.824668 \r\nL 190.749697 214.714462 \r\nL 190.810576 214.756364 \r\nL 190.932334 201.578182 \r\nL 191.023652 214.756364 \r\nL 191.084531 211.802272 \r\nL 191.175849 214.756364 \r\nL 191.236728 206.836884 \r\nL 191.267167 213.771666 \r\nL 191.328046 214.756364 \r\nL 191.419364 208.680572 \r\nL 191.480243 214.756364 \r\nL 191.541122 214.735413 \r\nL 191.571561 214.756364 \r\nL 191.63244 180.962393 \r\nL 191.662879 212.3889 \r\nL 191.693319 214.756364 \r\nL 191.815077 180.627177 \r\nL 191.936834 214.756364 \r\nL 191.967274 214.756364 \r\nL 191.997713 214.190687 \r\nL 192.028152 179.831039 \r\nL 192.058592 214.756364 \r\nL 192.089031 214.756364 \r\nL 192.14991 210.2938 \r\nL 192.180349 213.331695 \r\nL 192.271668 214.756364 \r\nL 192.362986 189.971325 \r\nL 192.393425 202.269565 \r\nL 192.454304 214.735413 \r\nL 192.484743 207.067345 \r\nL 192.515183 185.655418 \r\nL 192.576062 209.183396 \r\nL 192.636941 209.141494 \r\nL 192.697819 214.756364 \r\nL 192.728259 214.756364 \r\nL 192.758698 210.230947 \r\nL 192.819577 214.756364 \r\nL 192.880456 214.735413 \r\nL 192.941335 206.606423 \r\nL 192.971774 177.798792 \r\nL 193.002213 213.01743 \r\nL 193.032653 208.764376 \r\nL 193.123971 214.735413 \r\nL 193.15441 211.467056 \r\nL 193.18485 211.152791 \r\nL 193.215289 202.79334 \r\nL 193.245729 214.756364 \r\nL 193.276168 214.756364 \r\nL 193.306607 214.756364 \r\nL 193.337047 213.64596 \r\nL 193.397926 214.756364 \r\nL 193.580562 214.756364 \r\nL 193.67188 201.180113 \r\nL 193.793638 214.756364 \r\nL 193.824077 200.132563 \r\nL 193.915396 204.46942 \r\nL 193.976274 214.756364 \r\nL 194.006714 210.901379 \r\nL 194.037153 199.336424 \r\nL 194.098032 214.756364 \r\nL 194.18935 203.338066 \r\nL 194.280669 214.756364 \r\nL 194.311108 208.931984 \r\nL 194.341547 208.177748 \r\nL 194.463305 214.756364 \r\nL 194.493744 194.203428 \r\nL 194.585063 195.586195 \r\nL 194.73726 214.756364 \r\nL 194.767699 212.053684 \r\nL 194.828578 214.756364 \r\nL 194.859017 214.756364 \r\nL 194.919896 191.144582 \r\nL 194.950335 195.020517 \r\nL 194.980775 214.756364 \r\nL 195.072093 202.479075 \r\nL 195.193851 214.756364 \r\nL 195.315608 201.515329 \r\nL 195.376487 201.431525 \r\nL 195.467805 214.756364 \r\nL 195.589563 203.966596 \r\nL 195.650442 196.382333 \r\nL 195.74176 214.756364 \r\nL 195.833078 206.606423 \r\nL 195.863518 213.562156 \r\nL 195.893957 214.756364 \r\nL 195.924397 213.43645 \r\nL 195.954836 211.425154 \r\nL 195.985275 212.640312 \r\nL 196.015715 194.685301 \r\nL 196.076594 214.756364 \r\nL 196.167912 214.756364 \r\nL 196.25923 192.736858 \r\nL 196.289669 206.711178 \r\nL 196.380988 202.79334 \r\nL 196.411427 214.756364 \r\nL 196.502745 214.756364 \r\nL 196.624503 197.932707 \r\nL 196.715821 214.756364 \r\nL 196.837579 186.388704 \r\nL 196.898458 214.756364 \r\nL 196.959336 209.728123 \r\nL 197.081094 214.756364 \r\nL 197.111533 214.756364 \r\nL 197.141973 201.201064 \r\nL 197.202852 213.310744 \r\nL 197.233291 213.499303 \r\nL 197.26373 208.84818 \r\nL 197.324609 214.567805 \r\nL 197.355049 146.749403 \r\nL 197.415928 214.756364 \r\nL 197.446367 213.604058 \r\nL 197.476806 202.185761 \r\nL 197.507246 214.756364 \r\nL 197.537685 211.571811 \r\nL 197.598564 211.110889 \r\nL 197.659443 214.274491 \r\nL 197.689882 205.49602 \r\nL 197.750761 207.004492 \r\nL 197.81164 214.756364 \r\nL 197.842079 197.932707 \r\nL 197.902958 214.756364 \r\nL 197.994276 214.735413 \r\nL 198.116034 182.051846 \r\nL 198.207352 214.756364 \r\nL 198.237792 210.000486 \r\nL 198.268231 214.756364 \r\nL 198.29867 206.082648 \r\nL 198.32911 213.708813 \r\nL 198.359549 197.283226 \r\nL 198.389989 214.735413 \r\nL 198.450867 207.884434 \r\nL 198.572625 214.756364 \r\nL 198.694383 204.657979 \r\nL 198.755261 214.756364 \r\nL 198.785701 212.619361 \r\nL 198.81614 188.798069 \r\nL 198.877019 214.756364 \r\nL 198.937898 214.756364 \r\nL 198.998777 194.769105 \r\nL 199.029216 210.817575 \r\nL 199.059656 214.735413 \r\nL 199.090095 186.891528 \r\nL 199.150974 208.911033 \r\nL 199.272731 214.735413 \r\nL 199.303171 210.629016 \r\nL 199.33361 214.756364 \r\nL 199.36405 212.724116 \r\nL 199.394489 179.810088 \r\nL 199.455368 214.756364 \r\nL 199.485807 200.258269 \r\nL 199.577125 214.756364 \r\nL 199.698883 191.794063 \r\nL 199.729322 201.242966 \r\nL 199.790201 191.207435 \r\nL 199.85108 214.756364 \r\nL 199.911959 174.593288 \r\nL 199.972838 201.180113 \r\nL 200.003277 212.367949 \r\nL 200.033717 159.759977 \r\nL 200.064156 214.756364 \r\nL 200.094595 214.756364 \r\nL 200.125035 214.756364 \r\nL 200.155474 212.409851 \r\nL 200.216353 135.792028 \r\nL 200.277232 204.343714 \r\nL 200.36855 214.756364 \r\nL 200.398989 200.48873 \r\nL 200.459868 214.735413 \r\nL 200.490308 214.756364 \r\nL 200.520747 199.441179 \r\nL 200.612065 203.023801 \r\nL 200.703384 214.67256 \r\nL 200.672944 201.368672 \r\nL 200.733823 208.533915 \r\nL 200.764262 205.077 \r\nL 200.794702 214.756364 \r\nL 200.825141 195.104321 \r\nL 200.855581 160.87038 \r\nL 200.88602 214.756364 \r\nL 200.916459 207.423512 \r\nL 200.977338 214.735413 \r\nL 201.038217 177.777841 \r\nL 201.129535 212.17939 \r\nL 201.159975 210.126192 \r\nL 201.251293 214.232589 \r\nL 201.281732 184.545015 \r\nL 201.40349 213.604058 \r\nL 201.464369 208.911033 \r\nL 201.494808 198.393629 \r\nL 201.525248 214.756364 \r\nL 201.555687 214.756364 \r\nL 201.586126 214.421148 \r\nL 201.738323 146.89606 \r\nL 201.829642 214.756364 \r\nL 201.860081 208.63867 \r\nL 201.89052 206.040746 \r\nL 201.92096 212.053684 \r\nL 201.951399 212.493655 \r\nL 201.981839 214.756364 \r\nL 202.012278 214.735413 \r\nL 202.042717 142.140182 \r\nL 202.103596 159.843781 \r\nL 202.164475 214.756364 \r\nL 202.225354 211.844174 \r\nL 202.255793 157.664876 \r\nL 202.286233 214.756364 \r\nL 202.316672 213.85547 \r\nL 202.377551 205.642677 \r\nL 202.40799 214.756364 \r\nL 202.43843 214.484001 \r\nL 202.468869 188.588559 \r\nL 202.499309 214.756364 \r\nL 202.529748 214.484001 \r\nL 202.651506 198.330776 \r\nL 202.681945 214.756364 \r\nL 202.742824 212.849822 \r\nL 202.773263 182.994641 \r\nL 202.834142 190.055129 \r\nL 202.92546 214.756364 \r\nL 202.9559 214.735413 \r\nL 202.986339 170.067871 \r\nL 203.047218 214.756364 \r\nL 203.077657 208.869131 \r\nL 203.168976 211.089938 \r\nL 203.229854 214.337344 \r\nL 203.260294 211.739419 \r\nL 203.321173 211.948929 \r\nL 203.351612 193.449192 \r\nL 203.382051 214.756364 \r\nL 203.47337 202.311467 \r\nL 203.503809 203.547576 \r\nL 203.534248 214.735413 \r\nL 203.564688 165.66816 \r\nL 203.656006 192.715907 \r\nL 203.686445 193.009221 \r\nL 203.716885 214.400197 \r\nL 203.747324 206.627374 \r\nL 203.777764 170.549744 \r\nL 203.808203 214.756364 \r\nL 203.838643 214.756364 \r\nL 203.869082 208.198699 \r\nL 203.929961 209.288151 \r\nL 203.99084 214.756364 \r\nL 204.021279 210.964232 \r\nL 204.082158 176.353172 \r\nL 204.112597 214.756364 \r\nL 204.173476 213.918323 \r\nL 204.203915 214.756364 \r\nL 204.234355 210.482359 \r\nL 204.295234 214.567805 \r\nL 204.356112 211.96988 \r\nL 204.386552 214.756364 \r\nL 204.447431 186.975332 \r\nL 204.47787 211.446105 \r\nL 204.508309 212.870773 \r\nL 204.538749 209.2672 \r\nL 204.569188 207.989189 \r\nL 204.599628 190.159884 \r\nL 204.660507 214.756364 \r\nL 204.690946 214.756364 \r\nL 204.721385 211.907027 \r\nL 204.782264 214.379246 \r\nL 204.812704 192.213083 \r\nL 204.843143 214.756364 \r\nL 204.904022 205.91504 \r\nL 204.934461 205.244608 \r\nL 204.99534 214.756364 \r\nL 205.056219 211.488007 \r\nL 205.086658 213.771666 \r\nL 205.117098 213.352646 \r\nL 205.147537 171.052568 \r\nL 205.208416 207.549218 \r\nL 205.238855 213.394548 \r\nL 205.299734 204.86749 \r\nL 205.360613 214.442099 \r\nL 205.391052 157.74868 \r\nL 205.421492 214.756364 \r\nL 205.451931 214.756364 \r\nL 205.51281 202.688585 \r\nL 205.543249 213.373597 \r\nL 205.604128 211.865125 \r\nL 205.634568 214.756364 \r\nL 205.665007 199.734493 \r\nL 205.725886 214.756364 \r\nL 205.756325 213.310744 \r\nL 205.786765 193.428241 \r\nL 205.847643 214.756364 \r\nL 205.878083 212.849822 \r\nL 205.908522 212.975528 \r\nL 205.969401 188.777118 \r\nL 206.03028 199.650689 \r\nL 206.091159 214.756364 \r\nL 206.152037 205.077 \r\nL 206.212916 214.756364 \r\nL 206.243356 182.76418 \r\nL 206.304235 214.756364 \r\nL 206.425992 191.354092 \r\nL 206.456432 214.756364 \r\nL 206.51731 204.427518 \r\nL 206.54775 198.142217 \r\nL 206.578189 214.756364 \r\nL 206.669507 197.031814 \r\nL 206.760826 214.756364 \r\nL 206.791265 196.256627 \r\nL 206.852144 210.943281 \r\nL 206.882583 214.756364 \r\nL 206.913023 188.588559 \r\nL 207.004341 205.28651 \r\nL 207.03478 214.756364 \r\nL 207.06522 213.373597 \r\nL 207.095659 198.435531 \r\nL 207.156538 205.768383 \r\nL 207.278296 214.756364 \r\nL 207.308735 213.268842 \r\nL 207.339174 214.756364 \r\nL 207.369614 198.498384 \r\nL 207.430493 211.048036 \r\nL 207.521811 214.609707 \r\nL 207.58269 214.756364 \r\nL 207.613129 199.126914 \r\nL 207.704447 214.756364 \r\nL 207.734887 214.442099 \r\nL 207.765326 208.806278 \r\nL 207.795765 214.735413 \r\nL 207.826205 214.232589 \r\nL 207.856644 214.756364 \r\nL 207.887084 200.509681 \r\nL 207.947963 214.46305 \r\nL 208.008841 214.756364 \r\nL 208.06972 210.314751 \r\nL 208.10016 176.164613 \r\nL 208.130599 212.493655 \r\nL 208.161038 212.200341 \r\nL 208.221917 195.271929 \r\nL 208.252357 213.394548 \r\nL 208.282796 214.756364 \r\nL 208.313235 214.735413 \r\nL 208.343675 204.280861 \r\nL 208.374114 214.756364 \r\nL 208.404554 214.756364 \r\nL 208.465432 214.756364 \r\nL 208.495872 209.623368 \r\nL 208.526311 159.257153 \r\nL 208.556751 214.756364 \r\nL 208.617629 180.0615 \r\nL 208.648069 214.735413 \r\nL 208.739387 213.583107 \r\nL 208.769827 214.756364 \r\nL 208.800266 191.584553 \r\nL 208.861145 210.105241 \r\nL 208.891584 206.75308 \r\nL 208.922024 214.756364 \r\nL 208.952463 185.760173 \r\nL 209.013342 214.756364 \r\nL 209.10466 192.275936 \r\nL 209.135099 209.853829 \r\nL 209.165539 214.756364 \r\nL 209.226418 209.644319 \r\nL 209.317736 200.572534 \r\nL 209.348175 183.036543 \r\nL 209.378615 214.756364 \r\nL 209.409054 210.147143 \r\nL 209.439493 214.756364 \r\nL 209.469933 198.477433 \r\nL 209.530812 214.735413 \r\nL 209.561251 212.305096 \r\nL 209.591691 214.756364 \r\nL 209.62213 213.625009 \r\nL 209.683009 214.756364 \r\nL 209.774327 156.428767 \r\nL 209.896085 214.756364 \r\nL 209.926524 213.394548 \r\nL 209.956963 193.113976 \r\nL 210.017842 214.756364 \r\nL 210.048282 214.756364 \r\nL 210.10916 206.585472 \r\nL 210.1396 212.200341 \r\nL 210.230918 214.756364 \r\nL 210.322236 206.711178 \r\nL 210.352676 183.350808 \r\nL 210.383115 214.756364 \r\nL 210.413555 214.756364 \r\nL 210.474433 190.537002 \r\nL 210.504873 214.735413 \r\nL 210.596191 214.756364 \r\nL 210.717949 186.388704 \r\nL 210.839706 214.756364 \r\nL 210.870146 211.508958 \r\nL 210.931024 214.756364 \r\nL 210.961464 214.756364 \r\nL 211.052782 206.313109 \r\nL 211.083222 193.134927 \r\nL 211.113661 211.446105 \r\nL 211.1441 193.868212 \r\nL 211.296297 214.756364 \r\nL 211.326737 212.263194 \r\nL 211.387616 214.756364 \r\nL 211.478934 214.756364 \r\nL 211.509373 211.96988 \r\nL 211.539813 214.756364 \r\nL 211.570252 149.431132 \r\nL 211.631131 213.352646 \r\nL 211.66157 211.299448 \r\nL 211.752888 157.036346 \r\nL 211.722449 212.766018 \r\nL 211.783328 175.934152 \r\nL 211.905086 214.756364 \r\nL 211.935525 214.756364 \r\nL 211.965964 208.659621 \r\nL 212.026843 214.756364 \r\nL 212.087722 214.756364 \r\nL 212.17904 204.804637 \r\nL 212.20948 214.421148 \r\nL 212.239919 182.282307 \r\nL 212.300798 206.836884 \r\nL 212.361677 205.70553 \r\nL 212.392116 214.735413 \r\nL 212.452995 214.756364 \r\nL 212.513874 204.762734 \r\nL 212.544313 127.139263 \r\nL 212.574752 214.756364 \r\nL 212.605192 214.25354 \r\nL 212.69651 214.756364 \r\nL 212.818268 197.408932 \r\nL 212.909586 214.756364 \r\nL 212.879147 183.581269 \r\nL 212.940025 207.465414 \r\nL 212.970465 205.014147 \r\nL 213.000904 212.849822 \r\nL 213.031344 203.338066 \r\nL 213.092222 212.535557 \r\nL 213.122662 202.018153 \r\nL 213.183541 214.735413 \r\nL 213.21398 214.756364 \r\nL 213.244419 177.735939 \r\nL 213.335738 182.051846 \r\nL 213.396616 195.146223 \r\nL 213.457495 214.756364 \r\nL 213.518374 214.232589 \r\nL 213.579253 206.103599 \r\nL 213.609692 188.651412 \r\nL 213.640132 214.756364 \r\nL 213.670571 214.756364 \r\nL 213.701011 213.771666 \r\nL 213.761889 190.956023 \r\nL 213.792329 204.385616 \r\nL 213.883647 214.756364 \r\nL 213.914086 212.221292 \r\nL 213.974965 214.735413 \r\nL 214.035844 214.756364 \r\nL 214.096723 205.160804 \r\nL 214.127162 214.735413 \r\nL 214.188041 214.693511 \r\nL 214.24892 192.401642 \r\nL 214.309799 210.377604 \r\nL 214.340238 214.756364 \r\nL 214.370678 147.650296 \r\nL 214.431556 214.756364 \r\nL 214.461996 214.756364 \r\nL 214.492435 186.200145 \r\nL 214.553314 212.933626 \r\nL 214.583753 207.779679 \r\nL 214.614193 214.756364 \r\nL 214.675072 209.204347 \r\nL 214.73595 214.756364 \r\nL 214.796829 212.849822 \r\nL 214.918587 214.735413 \r\nL 214.979466 214.714462 \r\nL 215.040344 210.08429 \r\nL 215.070784 214.756364 \r\nL 215.162102 214.756364 \r\nL 215.28386 148.886406 \r\nL 215.375178 214.756364 \r\nL 215.405617 195.104321 \r\nL 215.436057 170.926862 \r\nL 215.466496 213.22694 \r\nL 215.557814 214.756364 \r\nL 215.588254 212.912675 \r\nL 215.618693 173.482885 \r\nL 215.679572 214.756364 \r\nL 215.77089 201.32677 \r\nL 215.862208 212.870773 \r\nL 215.892648 208.931984 \r\nL 215.923087 212.263194 \r\nL 215.953527 205.244608 \r\nL 215.983966 187.310548 \r\nL 216.014406 214.735413 \r\nL 216.044845 207.926336 \r\nL 216.136163 214.756364 \r\nL 216.105724 199.25262 \r\nL 216.166603 213.708813 \r\nL 216.227481 213.205989 \r\nL 216.28836 214.756364 \r\nL 216.379678 200.949652 \r\nL 216.410118 201.9553 \r\nL 216.440557 214.756364 \r\nL 216.501436 209.246249 \r\nL 216.562315 167.469947 \r\nL 216.592754 107.214858 \r\nL 216.623194 211.55086 \r\nL 216.653633 214.756364 \r\nL 216.684072 190.348443 \r\nL 216.744951 207.926336 \r\nL 216.775391 214.756364 \r\nL 216.80583 190.956023 \r\nL 216.866709 214.756364 \r\nL 216.897148 214.735413 \r\nL 216.988467 180.752883 \r\nL 217.018906 201.222015 \r\nL 217.140664 214.756364 \r\nL 217.079785 189.887521 \r\nL 217.171103 212.933626 \r\nL 217.231982 189.363746 \r\nL 217.262421 214.756364 \r\nL 217.3233 214.735413 \r\nL 217.353739 202.730487 \r\nL 217.384179 214.756364 \r\nL 217.414618 204.637028 \r\nL 217.445058 214.756364 \r\nL 217.475497 197.660344 \r\nL 217.505937 188.965677 \r\nL 217.597255 214.756364 \r\nL 217.627694 214.504952 \r\nL 217.658134 214.756364 \r\nL 217.688573 202.919046 \r\nL 217.779891 207.842532 \r\nL 217.810331 201.661986 \r\nL 217.871209 207.758728 \r\nL 217.901649 214.735413 \r\nL 217.932088 185.383055 \r\nL 217.962528 214.756364 \r\nL 218.023406 201.180113 \r\nL 218.053846 212.346998 \r\nL 218.084285 204.280861 \r\nL 218.114725 171.681098 \r\nL 218.145164 214.756364 \r\nL 218.175603 210.356653 \r\nL 218.236482 212.661263 \r\nL 218.266922 190.914121 \r\nL 218.35824 214.756364 \r\nL 218.388679 195.062419 \r\nL 218.449558 212.828871 \r\nL 218.571316 214.756364 \r\nL 218.601755 106.858691 \r\nL 218.662634 214.756364 \r\nL 218.753952 214.735413 \r\nL 218.814831 187.77147 \r\nL 218.84527 214.756364 \r\nL 218.87571 214.756364 \r\nL 218.997467 194.559595 \r\nL 219.088786 214.756364 \r\nL 219.119225 179.370117 \r\nL 219.180104 196.654696 \r\nL 219.240983 214.756364 \r\nL 219.271422 214.358295 \r\nL 219.301862 181.088099 \r\nL 219.36274 214.756364 \r\nL 219.484498 209.581466 \r\nL 219.514937 189.552305 \r\nL 219.575816 214.756364 \r\nL 219.606256 208.42916 \r\nL 219.697574 210.545212 \r\nL 219.758453 214.756364 \r\nL 219.849771 187.373401 \r\nL 219.91065 214.756364 \r\nL 219.971529 214.735413 \r\nL 220.154165 195.565244 \r\nL 220.184604 199.504032 \r\nL 220.245483 214.756364 \r\nL 220.275923 211.362301 \r\nL 220.306362 201.012505 \r\nL 220.367241 212.346998 \r\nL 220.42812 214.756364 \r\nL 220.549877 189.300893 \r\nL 220.580317 190.516051 \r\nL 220.610756 214.714462 \r\nL 220.702074 211.236595 \r\nL 220.732514 214.756364 \r\nL 220.762953 214.735413 \r\nL 220.793393 196.864206 \r\nL 220.823832 214.756364 \r\nL 220.884711 202.709536 \r\nL 220.91515 192.77876 \r\nL 220.976029 204.155155 \r\nL 221.006468 213.247891 \r\nL 221.036908 181.988993 \r\nL 221.067347 214.756364 \r\nL 221.097787 190.767464 \r\nL 221.219544 214.756364 \r\nL 221.280423 204.092302 \r\nL 221.310862 164.809169 \r\nL 221.341302 214.756364 \r\nL 221.371741 210.08429 \r\nL 221.402181 210.901379 \r\nL 221.463059 209.87478 \r\nL 221.493499 214.756364 \r\nL 221.523938 198.938355 \r\nL 221.584817 214.735413 \r\nL 221.615257 214.756364 \r\nL 221.737014 133.194103 \r\nL 221.828332 214.756364 \r\nL 221.858772 192.317838 \r\nL 221.95009 189.363746 \r\nL 221.980529 214.756364 \r\nL 222.071848 211.676566 \r\nL 222.102287 214.735413 \r\nL 222.132726 210.629016 \r\nL 222.163166 150.080613 \r\nL 222.193605 214.693511 \r\nL 222.254484 179.558676 \r\nL 222.345802 214.756364 \r\nL 222.376242 214.735413 \r\nL 222.406681 214.714462 \r\nL 222.437121 205.956942 \r\nL 222.497999 214.735413 \r\nL 222.528439 214.295442 \r\nL 222.558878 214.756364 \r\nL 222.650196 188.944726 \r\nL 222.711075 214.756364 \r\nL 222.771954 206.54357 \r\nL 222.802393 176.604584 \r\nL 222.863272 214.756364 \r\nL 222.893712 213.205989 \r\nL 222.95459 214.735413 \r\nL 223.015469 164.117786 \r\nL 223.137227 214.756364 \r\nL 223.198106 214.756364 \r\nL 223.258985 206.229305 \r\nL 223.319863 209.246249 \r\nL 223.350303 214.588756 \r\nL 223.380742 212.367949 \r\nL 223.411182 143.250585 \r\nL 223.441621 214.756364 \r\nL 223.47206 213.918323 \r\nL 223.532939 203.861841 \r\nL 223.563379 213.771666 \r\nL 223.593818 164.222541 \r\nL 223.624257 214.756364 \r\nL 223.685136 193.030172 \r\nL 223.776454 214.756364 \r\nL 223.806894 183.329857 \r\nL 223.867773 212.891724 \r\nL 223.959091 186.619165 \r\nL 223.928652 214.756364 \r\nL 223.98953 206.040746 \r\nL 224.050409 211.152791 \r\nL 224.080849 186.682018 \r\nL 224.141727 214.735413 \r\nL 224.172167 203.715184 \r\nL 224.202606 214.756364 \r\nL 224.263485 209.351004 \r\nL 224.293924 214.756364 \r\nL 224.324364 187.457205 \r\nL 224.385243 205.202706 \r\nL 224.446121 213.289793 \r\nL 224.507 210.50331 \r\nL 224.567879 206.774031 \r\nL 224.628758 214.756364 \r\nL 224.659197 214.735413 \r\nL 224.720076 214.756364 \r\nL 224.750516 212.17939 \r\nL 224.780955 214.756364 \r\nL 224.841834 203.547576 \r\nL 224.902713 205.621726 \r\nL 224.933152 209.183396 \r\nL 224.963591 111.153646 \r\nL 224.994031 211.13184 \r\nL 225.02447 209.141494 \r\nL 225.146228 214.756364 \r\nL 225.176667 199.399277 \r\nL 225.237546 214.756364 \r\nL 225.267985 214.735413 \r\nL 225.298425 202.960948 \r\nL 225.328864 214.756364 \r\nL 225.359304 204.720832 \r\nL 225.389743 213.080283 \r\nL 225.450622 206.187403 \r\nL 225.511501 206.690227 \r\nL 225.54194 189.950374 \r\nL 225.57238 214.756364 \r\nL 225.633258 213.415499 \r\nL 225.663698 191.479798 \r\nL 225.724577 211.027085 \r\nL 225.755016 212.472704 \r\nL 225.785455 168.810811 \r\nL 225.846334 211.697517 \r\nL 225.937652 214.756364 \r\nL 225.998531 203.715184 \r\nL 226.028971 214.735413 \r\nL 226.05941 214.756364 \r\nL 226.120289 167.972771 \r\nL 226.150728 200.383975 \r\nL 226.181168 214.756364 \r\nL 226.211607 206.648325 \r\nL 226.242046 190.997925 \r\nL 226.302925 209.45576 \r\nL 226.333365 214.316393 \r\nL 226.363804 186.744871 \r\nL 226.424683 205.412216 \r\nL 226.455122 214.756364 \r\nL 226.516001 204.448469 \r\nL 226.546441 210.901379 \r\nL 226.57688 200.467779 \r\nL 226.668198 204.951294 \r\nL 226.759516 214.756364 \r\nL 226.729077 203.317115 \r\nL 226.789956 214.735413 \r\nL 226.820395 197.136569 \r\nL 226.850835 214.756364 \r\nL 226.881274 214.023078 \r\nL 226.942153 208.345356 \r\nL 227.003032 212.346998 \r\nL 227.033471 212.766018 \r\nL 227.124789 178.951097 \r\nL 227.185668 187.331499 \r\nL 227.246547 214.756364 \r\nL 227.276986 204.888441 \r\nL 227.307426 180.291961 \r\nL 227.368305 214.756364 \r\nL 227.398744 214.735413 \r\nL 227.459623 202.667634 \r\nL 227.490062 214.756364 \r\nL 227.520502 208.869131 \r\nL 227.58138 214.756364 \r\nL 227.61182 205.139853 \r\nL 227.642259 212.933626 \r\nL 227.703138 214.756364 \r\nL 227.764017 185.90683 \r\nL 227.824896 185.445908 \r\nL 227.977093 214.67256 \r\nL 228.007532 183.350808 \r\nL 228.068411 214.714462 \r\nL 228.159729 196.151872 \r\nL 228.12929 214.756364 \r\nL 228.251047 200.572534 \r\nL 228.281487 214.756364 \r\nL 228.342366 192.35974 \r\nL 228.372805 214.46305 \r\nL 228.464123 200.991554 \r\nL 228.494563 211.739419 \r\nL 228.555441 214.756364 \r\nL 228.585881 212.011782 \r\nL 228.61632 138.201393 \r\nL 228.677199 214.756364 \r\nL 228.798957 213.143136 \r\nL 228.829396 214.148785 \r\nL 228.920714 214.756364 \r\nL 228.951154 200.153514 \r\nL 229.042472 214.756364 \r\nL 229.072911 210.189045 \r\nL 229.103351 182.596572 \r\nL 229.16423 214.756364 \r\nL 229.225108 175.661789 \r\nL 229.285987 204.993196 \r\nL 229.316427 214.756364 \r\nL 229.377305 203.547576 \r\nL 229.407745 213.247891 \r\nL 229.468624 214.756364 \r\nL 229.499063 214.735413 \r\nL 229.559942 206.250256 \r\nL 229.590381 210.649967 \r\nL 229.6817 213.457401 \r\nL 229.712139 193.972967 \r\nL 229.742578 214.756364 \r\nL 229.773018 212.724116 \r\nL 229.833897 214.756364 \r\nL 229.864336 182.261356 \r\nL 229.955654 194.433889 \r\nL 230.046972 191.395994 \r\nL 230.077412 214.756364 \r\nL 230.107851 203.778037 \r\nL 230.16873 205.852187 \r\nL 230.290488 214.756364 \r\nL 230.320927 199.001208 \r\nL 230.381806 213.059332 \r\nL 230.412245 212.430802 \r\nL 230.473124 214.756364 \r\nL 230.503564 194.601497 \r\nL 230.564442 210.398555 \r\nL 230.625321 207.046394 \r\nL 230.655761 214.756364 \r\nL 230.777518 177.233115 \r\nL 230.807958 201.033456 \r\nL 230.899276 214.756364 \r\nL 230.868836 192.15023 \r\nL 230.929715 206.229305 \r\nL 230.990594 214.756364 \r\nL 231.021033 194.014869 \r\nL 231.081912 212.011782 \r\nL 231.142791 214.756364 \r\nL 231.173231 193.19778 \r\nL 231.234109 214.756364 \r\nL 231.264549 214.756364 \r\nL 231.294988 210.335702 \r\nL 231.355867 214.756364 \r\nL 231.386306 214.756364 \r\nL 231.416746 212.954577 \r\nL 231.477625 160.03234 \r\nL 231.508064 173.357179 \r\nL 231.538503 214.735413 \r\nL 231.629822 209.979535 \r\nL 231.6907 207.318757 \r\nL 231.72114 214.756364 \r\nL 231.751579 201.075358 \r\nL 231.842897 204.553224 \r\nL 231.903776 193.637751 \r\nL 231.934216 214.735413 \r\nL 231.964655 203.547576 \r\nL 232.025534 214.756364 \r\nL 232.055973 214.756364 \r\nL 232.20817 197.199422 \r\nL 232.23861 214.756364 \r\nL 232.329928 214.735413 \r\nL 232.360367 207.507316 \r\nL 232.421246 213.289793 \r\nL 232.451686 214.756364 \r\nL 232.482125 194.87386 \r\nL 232.543004 210.189045 \r\nL 232.664761 214.756364 \r\nL 232.695201 211.613713 \r\nL 232.72564 167.595653 \r\nL 232.786519 214.756364 \r\nL 232.816959 214.735413 \r\nL 232.847398 194.915762 \r\nL 232.877837 214.756364 \r\nL 232.908277 197.890805 \r\nL 233.030034 214.756364 \r\nL 233.151792 214.756364 \r\nL 233.182231 201.347721 \r\nL 233.27355 205.747432 \r\nL 233.303989 214.714462 \r\nL 233.334428 182.868935 \r\nL 233.395307 214.756364 \r\nL 233.456186 214.756364 \r\nL 233.577944 207.109247 \r\nL 233.608383 211.299448 \r\nL 233.638823 210.000486 \r\nL 233.669262 192.380691 \r\nL 233.730141 214.735413 \r\nL 233.76058 214.756364 \r\nL 233.912777 205.998844 \r\nL 233.973656 214.756364 \r\nL 234.004095 187.478156 \r\nL 234.095414 204.448469 \r\nL 234.125853 214.756364 \r\nL 234.186732 207.612071 \r\nL 234.217171 164.054933 \r\nL 234.27805 214.756364 \r\nL 234.308489 214.756364 \r\nL 234.369368 180.354814 \r\nL 234.399808 214.756364 \r\nL 234.430247 214.735413 \r\nL 234.460687 183.748877 \r\nL 234.521565 207.570169 \r\nL 234.582444 214.756364 \r\nL 234.612884 214.044029 \r\nL 234.643323 189.112334 \r\nL 234.673762 214.756364 \r\nL 234.704202 210.587114 \r\nL 234.765081 214.756364 \r\nL 234.856399 182.491817 \r\nL 234.947717 214.756364 \r\nL 234.978156 214.735413 \r\nL 235.039035 193.386339 \r\nL 235.069475 213.792617 \r\nL 235.160793 214.756364 \r\nL 235.252111 177.777841 \r\nL 235.31299 178.930146 \r\nL 235.404308 214.756364 \r\nL 235.434748 208.617719 \r\nL 235.465187 206.941639 \r\nL 235.526066 214.756364 \r\nL 235.556505 209.225298 \r\nL 235.678263 187.603862 \r\nL 235.708702 212.849822 \r\nL 235.739142 151.714791 \r\nL 235.80002 208.366307 \r\nL 235.860899 214.756364 \r\nL 235.891339 207.297806 \r\nL 235.921778 211.676566 \r\nL 235.952217 211.048036 \r\nL 236.073975 213.981176 \r\nL 236.134854 209.497662 \r\nL 236.165293 214.756364 \r\nL 236.195733 214.693511 \r\nL 236.256612 214.756364 \r\nL 236.31749 203.819939 \r\nL 236.34793 170.570695 \r\nL 236.408809 208.512964 \r\nL 236.530566 214.756364 \r\nL 236.591445 214.756364 \r\nL 236.621884 176.835046 \r\nL 236.682763 214.756364 \r\nL 236.713203 212.242243 \r\nL 236.743642 193.763457 \r\nL 236.774081 214.756364 \r\nL 236.804521 214.756364 \r\nL 236.8654 214.756364 \r\nL 236.895839 197.492736 \r\nL 236.956718 214.756364 \r\nL 237.078476 202.081006 \r\nL 237.169794 200.237318 \r\nL 237.200233 214.756364 \r\nL 237.230673 214.756364 \r\nL 237.261112 206.501668 \r\nL 237.35243 208.890082 \r\nL 237.443748 207.549218 \r\nL 237.474188 214.735413 \r\nL 237.565506 214.756364 \r\nL 237.595946 213.478352 \r\nL 237.626385 214.756364 \r\nL 237.717703 188.735216 \r\nL 237.839461 214.756364 \r\nL 237.8699 214.756364 \r\nL 237.930779 212.766018 \r\nL 238.022097 178.154959 \r\nL 238.052537 203.652331 \r\nL 238.082976 214.756364 \r\nL 238.113415 179.139656 \r\nL 238.174294 214.756364 \r\nL 238.204734 214.735413 \r\nL 238.296052 199.713542 \r\nL 238.326491 204.67893 \r\nL 238.356931 214.756364 \r\nL 238.41781 209.832878 \r\nL 238.478688 212.200341 \r\nL 238.509128 169.544096 \r\nL 238.600446 214.756364 \r\nL 238.630885 197.199422 \r\nL 238.661325 214.756364 \r\nL 238.722204 214.609707 \r\nL 238.752643 202.16481 \r\nL 238.813522 207.046394 \r\nL 238.90484 214.756364 \r\nL 238.935279 214.714462 \r\nL 238.965719 174.299974 \r\nL 239.026598 214.358295 \r\nL 239.148355 164.306345 \r\nL 239.270113 214.756364 \r\nL 239.300552 214.756364 \r\nL 239.330992 169.062223 \r\nL 239.391871 214.756364 \r\nL 239.483189 206.019795 \r\nL 239.513628 197.010863 \r\nL 239.544068 210.126192 \r\nL 239.574507 202.353369 \r\nL 239.604946 214.756364 \r\nL 239.635386 189.740864 \r\nL 239.665825 212.640312 \r\nL 239.696265 173.063865 \r\nL 239.757143 213.205989 \r\nL 239.787583 178.071155 \r\nL 239.90934 214.504952 \r\nL 239.93978 214.714462 \r\nL 239.970219 201.410574 \r\nL 240.000659 214.756364 \r\nL 240.031098 214.756364 \r\nL 240.061538 214.588756 \r\nL 240.091977 214.756364 \r\nL 240.122416 175.096112 \r\nL 240.183295 214.735413 \r\nL 240.213735 213.918323 \r\nL 240.244174 175.724642 \r\nL 240.305053 214.756364 \r\nL 240.42681 208.84818 \r\nL 240.45725 209.581466 \r\nL 240.487689 135.540616 \r\nL 240.518129 212.828871 \r\nL 240.548568 211.739419 \r\nL 240.609447 214.756364 \r\nL 240.639886 214.735413 \r\nL 240.670326 181.779483 \r\nL 240.731204 214.756364 \r\nL 240.761644 198.498384 \r\nL 240.792083 214.756364 \r\nL 240.822523 211.194693 \r\nL 240.852962 182.093748 \r\nL 240.883402 214.756364 \r\nL 240.913841 214.735413 \r\nL 240.94428 213.85547 \r\nL 241.035599 214.379246 \r\nL 241.066038 208.512964 \r\nL 241.096477 209.476711 \r\nL 241.157356 214.756364 \r\nL 241.187796 213.478352 \r\nL 241.218235 190.243688 \r\nL 241.279114 214.756364 \r\nL 241.309553 213.771666 \r\nL 241.339993 187.331499 \r\nL 241.400871 214.756364 \r\nL 241.522629 214.756364 \r\nL 241.766144 182.051846 \r\nL 241.887902 214.756364 \r\nL 241.948781 185.005937 \r\nL 241.97922 214.756364 \r\nL 242.00966 214.735413 \r\nL 242.040099 191.898818 \r\nL 242.100978 201.53628 \r\nL 242.222735 214.756364 \r\nL 242.374932 184.377407 \r\nL 242.49669 214.756364 \r\nL 242.557569 214.756364 \r\nL 242.618448 211.697517 \r\nL 242.648887 213.310744 \r\nL 242.679327 214.756364 \r\nL 242.770645 197.555589 \r\nL 242.801084 214.735413 \r\nL 242.831524 183.057494 \r\nL 242.861963 182.701327 \r\nL 242.922842 214.756364 \r\nL 242.953281 214.085931 \r\nL 243.044599 179.768186 \r\nL 243.166357 214.756364 \r\nL 243.196796 214.735413 \r\nL 243.227236 211.089938 \r\nL 243.257675 172.917208 \r\nL 243.318554 214.756364 \r\nL 243.348994 205.621726 \r\nL 243.440312 208.994837 \r\nL 243.622948 214.756364 \r\nL 243.653388 193.700604 \r\nL 243.744706 206.732129 \r\nL 243.836024 214.756364 \r\nL 243.896903 182.680376 \r\nL 243.957782 144.402891 \r\nL 243.988221 214.756364 \r\nL 244.018661 133.592172 \r\nL 244.079539 214.756364 \r\nL 244.170858 189.384697 \r\nL 244.201297 214.651609 \r\nL 244.231736 112.662119 \r\nL 244.262176 214.756364 \r\nL 244.292615 213.64596 \r\nL 244.383933 214.756364 \r\nL 244.414373 205.810285 \r\nL 244.444812 214.756364 \r\nL 244.475252 85.844833 \r\nL 244.53613 196.654696 \r\nL 244.749206 214.756364 \r\nL 244.779646 146.707501 \r\nL 244.870964 175.389426 \r\nL 244.901403 143.543899 \r\nL 244.931843 214.756364 \r\nL 244.962282 201.305819 \r\nL 245.023161 211.592762 \r\nL 245.0536 111.467912 \r\nL 245.08404 214.735413 \r\nL 245.114479 214.316393 \r\nL 245.144919 214.735413 \r\nL 245.205797 214.148785 \r\nL 245.236237 212.80792 \r\nL 245.327555 160.011389 \r\nL 245.449313 214.756364 \r\nL 245.479752 214.756364 \r\nL 245.510191 213.750715 \r\nL 245.57107 214.735413 \r\nL 245.60151 214.756364 \r\nL 245.662389 210.440457 \r\nL 245.692828 214.714462 \r\nL 245.723267 199.399277 \r\nL 245.784146 213.268842 \r\nL 245.814586 214.756364 \r\nL 245.905904 196.026166 \r\nL 245.936343 208.575817 \r\nL 245.997222 214.756364 \r\nL 246.027661 151.69384 \r\nL 246.08854 183.015592 \r\nL 246.179858 214.756364 \r\nL 246.149419 174.111415 \r\nL 246.210298 214.274491 \r\nL 246.271177 198.246972 \r\nL 246.301616 205.600775 \r\nL 246.392934 214.756364 \r\nL 246.423374 209.45576 \r\nL 246.514692 214.735413 \r\nL 246.60601 214.756364 \r\nL 246.63645 200.740142 \r\nL 246.666889 214.756364 \r\nL 246.727768 197.78605 \r\nL 246.758207 211.425154 \r\nL 246.788647 205.91504 \r\nL 246.819086 211.110889 \r\nL 246.849525 163.070236 \r\nL 246.910404 212.535557 \r\nL 247.001722 200.949652 \r\nL 247.093041 195.795705 \r\nL 247.12348 214.756364 \r\nL 247.153919 214.127834 \r\nL 247.184359 199.04311 \r\nL 247.245238 214.756364 \r\nL 247.275677 205.516971 \r\nL 247.336556 189.112334 \r\nL 247.427874 214.756364 \r\nL 247.458314 212.326047 \r\nL 247.519192 199.357375 \r\nL 247.549632 214.756364 \r\nL 247.610511 214.735413 \r\nL 247.671389 212.891724 \r\nL 247.793147 164.222541 \r\nL 247.884465 214.756364 \r\nL 247.914905 200.363024 \r\nL 247.945344 188.693314 \r\nL 247.975783 214.756364 \r\nL 248.006223 207.59112 \r\nL 248.036662 17.083636 \r\nL 248.067102 214.756364 \r\nL 248.097541 179.516774 \r\nL 248.219299 214.756364 \r\nL 248.249738 214.106882 \r\nL 248.341056 214.735413 \r\nL 248.371496 205.684579 \r\nL 248.432375 214.756364 \r\nL 248.462814 203.275213 \r\nL 248.523693 211.152791 \r\nL 248.584572 212.828871 \r\nL 248.64545 178.322567 \r\nL 248.706329 155.213609 \r\nL 248.767208 214.756364 \r\nL 248.797647 214.735413 \r\nL 248.828087 194.056771 \r\nL 248.888966 207.360659 \r\nL 248.949845 214.756364 \r\nL 248.980284 205.663628 \r\nL 249.071602 180.648128 \r\nL 249.19336 214.756364 \r\nL 249.223799 204.951294 \r\nL 249.284678 214.756364 \r\nL 249.315117 214.756364 \r\nL 249.375996 206.292158 \r\nL 249.406436 214.358295 \r\nL 249.436875 149.850152 \r\nL 249.497754 213.897372 \r\nL 249.528193 214.756364 \r\nL 249.649951 179.370117 \r\nL 249.741269 214.756364 \r\nL 249.771709 180.375765 \r\nL 249.832587 214.67256 \r\nL 249.893466 213.687862 \r\nL 249.954345 104.952149 \r\nL 249.984784 214.756364 \r\nL 250.015224 187.289597 \r\nL 250.106542 214.756364 \r\nL 250.136981 213.604058 \r\nL 250.167421 175.138014 \r\nL 250.2283 214.756364 \r\nL 250.258739 214.756364 \r\nL 250.289178 173.839052 \r\nL 250.380497 185.760173 \r\nL 250.502254 214.756364 \r\nL 250.532694 214.756364 \r\nL 250.593573 172.079168 \r\nL 250.624012 214.756364 \r\nL 250.654451 212.975528 \r\nL 250.684891 160.493262 \r\nL 250.74577 194.852909 \r\nL 250.837088 190.222737 \r\nL 250.867527 214.756364 \r\nL 251.019724 180.27101 \r\nL 251.050164 214.756364 \r\nL 251.141482 212.430802 \r\nL 251.202361 214.756364 \r\nL 251.293679 133.592172 \r\nL 251.354558 214.756364 \r\nL 251.415437 186.849626 \r\nL 251.476315 214.756364 \r\nL 251.537194 211.55086 \r\nL 251.567634 184.901182 \r\nL 251.598073 57.016251 \r\nL 251.628512 214.756364 \r\nL 251.658952 213.960225 \r\nL 251.689391 214.756364 \r\nL 251.780709 147.796953 \r\nL 251.872028 214.756364 \r\nL 251.902467 210.566163 \r\nL 251.932906 181.528071 \r\nL 252.024225 197.702246 \r\nL 252.115543 214.756364 \r\nL 252.145982 209.895731 \r\nL 252.26774 214.756364 \r\nL 252.298179 214.756364 \r\nL 252.328619 164.159688 \r\nL 252.419937 180.794785 \r\nL 252.450376 168.475595 \r\nL 252.541695 214.756364 \r\nL 252.572134 211.236595 \r\nL 252.633013 214.756364 \r\nL 252.693892 212.514606 \r\nL 252.815649 214.756364 \r\nL 252.876528 214.756364 \r\nL 252.906968 198.875502 \r\nL 252.967846 214.756364 \r\nL 252.998286 214.421148 \r\nL 253.028725 214.756364 \r\nL 253.059165 152.783292 \r\nL 253.120043 214.756364 \r\nL 253.150483 214.735413 \r\nL 253.211362 214.756364 \r\nL 253.27224 163.36355 \r\nL 253.393998 213.583107 \r\nL 253.454877 186.849626 \r\nL 253.485316 48.86631 \r\nL 253.515756 214.169736 \r\nL 253.546195 195.858558 \r\nL 253.576634 214.756364 \r\nL 253.637513 194.748154 \r\nL 253.667953 177.75689 \r\nL 253.698392 214.735413 \r\nL 253.78971 207.779679 \r\nL 253.881029 214.756364 \r\nL 253.972347 200.048758 \r\nL 254.063665 214.756364 \r\nL 254.094104 212.661263 \r\nL 254.185423 214.756364 \r\nL 254.215862 214.735413 \r\nL 254.246301 214.735413 \r\nL 254.33762 214.756364 \r\nL 254.368059 143.606752 \r\nL 254.428938 214.735413 \r\nL 254.489817 212.242243 \r\nL 254.550696 214.756364 \r\nL 254.642014 192.98827 \r\nL 254.672453 207.1721 \r\nL 254.702893 189.971325 \r\nL 254.763771 214.756364 \r\nL 254.794211 214.756364 \r\nL 254.82465 150.394878 \r\nL 254.885529 214.756364 \r\nL 255.007287 214.756364 \r\nL 255.068165 176.436976 \r\nL 255.098605 214.756364 \r\nL 255.189923 212.912675 \r\nL 255.220362 214.756364 \r\nL 255.34212 165.060581 \r\nL 255.433438 214.756364 \r\nL 255.463878 211.927978 \r\nL 255.494317 172.393433 \r\nL 255.524757 214.756364 \r\nL 255.555196 214.756364 \r\nL 255.585635 214.756364 \r\nL 255.737832 152.636635 \r\nL 255.829151 214.316393 \r\nL 255.85959 175.89225 \r\nL 256.011787 214.756364 \r\nL 256.042226 186.325851 \r\nL 256.103105 205.768383 \r\nL 256.133545 213.604058 \r\nL 256.163984 192.694956 \r\nL 256.224863 214.735413 \r\nL 256.316181 214.756364 \r\nL 256.346621 157.497268 \r\nL 256.407499 204.092302 \r\nL 256.437939 205.433167 \r\nL 256.468378 214.735413 \r\nL 256.498818 185.131643 \r\nL 256.559696 211.257546 \r\nL 256.590136 214.735413 \r\nL 256.651015 157.811533 \r\nL 256.681454 214.756364 \r\nL 256.772772 198.645041 \r\nL 256.803212 210.063339 \r\nL 256.833651 213.960225 \r\nL 256.86409 212.263194 \r\nL 256.924969 214.756364 \r\nL 256.955409 195.313831 \r\nL 256.985848 214.756364 \r\nL 257.077166 205.831236 \r\nL 257.107606 201.410574 \r\nL 257.138045 212.409851 \r\nL 257.168485 206.187403 \r\nL 257.259803 214.756364 \r\nL 257.290242 214.316393 \r\nL 257.412 179.872941 \r\nL 257.351121 214.756364 \r\nL 257.442439 191.982622 \r\nL 257.472879 208.01014 \r\nL 257.503318 149.473034 \r\nL 257.564197 199.545934 \r\nL 257.685955 214.756364 \r\nL 257.716394 198.749796 \r\nL 257.777273 213.457401 \r\nL 257.807712 211.927978 \r\nL 257.838152 214.735413 \r\nL 257.868591 214.756364 \r\nL 257.89903 210.817575 \r\nL 257.92947 136.839578 \r\nL 257.990349 213.059332 \r\nL 258.020788 186.954381 \r\nL 258.112106 197.660344 \r\nL 258.142546 214.756364 \r\nL 258.233864 214.735413 \r\nL 258.264303 214.756364 \r\nL 258.325182 177.12836 \r\nL 258.386061 208.952935 \r\nL 258.4165 205.852187 \r\nL 258.477379 214.169736 \r\nL 258.507819 178.783489 \r\nL 258.629576 214.756364 \r\nL 258.660016 209.686221 \r\nL 258.690455 184.272652 \r\nL 258.751334 211.634664 \r\nL 258.781773 200.719191 \r\nL 258.873091 214.714462 \r\nL 258.903531 191.584553 \r\nL 258.994849 202.206712 \r\nL 259.025288 214.714462 \r\nL 259.116607 214.316393 \r\nL 259.207925 214.756364 \r\nL 259.268804 200.677289 \r\nL 259.299243 206.313109 \r\nL 259.390561 214.756364 \r\nL 259.421001 213.101234 \r\nL 259.45144 210.859477 \r\nL 259.48188 212.409851 \r\nL 259.512319 214.756364 \r\nL 259.542758 195.753803 \r\nL 259.634077 203.00285 \r\nL 259.664516 200.530632 \r\nL 259.725395 214.756364 \r\nL 259.786274 211.299448 \r\nL 259.816713 211.676566 \r\nL 259.877592 214.756364 \r\nL 259.908031 197.387981 \r\nL 259.96891 214.756364 \r\nL 259.999349 214.756364 \r\nL 260.029789 197.869854 \r\nL 260.090668 209.204347 \r\nL 260.121107 214.735413 \r\nL 260.181986 209.288151 \r\nL 260.242865 213.813568 \r\nL 260.273304 212.724116 \r\nL 260.303744 208.701523 \r\nL 260.364622 214.756364 \r\nL 260.425501 212.095586 \r\nL 260.455941 214.756364 \r\nL 260.547259 214.756364 \r\nL 260.699456 199.399277 \r\nL 260.760335 213.939274 \r\nL 260.821213 211.257546 \r\nL 260.851653 211.362301 \r\nL 260.942971 210.859477 \r\nL 260.973411 214.756364 \r\nL 261.00385 200.111612 \r\nL 261.064729 214.756364 \r\nL 261.216926 203.778037 \r\nL 261.277805 214.756364 \r\nL 261.369123 214.232589 \r\nL 261.399562 214.106882 \r\nL 261.430002 191.605504 \r\nL 261.460441 214.756364 \r\nL 261.49088 192.862564 \r\nL 261.582199 214.756364 \r\nL 261.612638 208.031091 \r\nL 261.764835 214.756364 \r\nL 261.886593 214.756364 \r\nL 261.917032 211.907027 \r\nL 262.03879 196.382333 \r\nL 262.130108 214.756364 \r\nL 262.160547 214.379246 \r\nL 262.221426 214.756364 \r\nL 262.251866 214.211638 \r\nL 262.312744 214.756364 \r\nL 262.343184 208.387258 \r\nL 262.373623 214.756364 \r\nL 262.404063 207.779679 \r\nL 262.434502 212.032733 \r\nL 262.495381 213.981176 \r\nL 262.52582 198.20507 \r\nL 262.647578 214.756364 \r\nL 262.678017 214.756364 \r\nL 262.769336 206.606423 \r\nL 262.830214 214.756364 \r\nL 262.891093 213.185038 \r\nL 262.921533 214.756364 \r\nL 262.982411 199.336424 \r\nL 263.04329 209.623368 \r\nL 263.104169 214.756364 \r\nL 263.134608 214.735413 \r\nL 263.256366 209.309102 \r\nL 263.286805 214.714462 \r\nL 263.317245 211.655615 \r\nL 263.439003 188.043833 \r\nL 263.469442 214.756364 \r\nL 263.56076 213.708813 \r\nL 263.5912 213.373597 \r\nL 263.621639 205.998844 \r\nL 263.682518 209.811927 \r\nL 263.804275 214.756364 \r\nL 263.834715 210.587114 \r\nL 263.895594 210.754722 \r\nL 263.926033 214.756364 \r\nL 263.986912 211.844174 \r\nL 264.047791 214.756364 \r\nL 264.10867 203.379968 \r\nL 264.199988 199.734493 \r\nL 264.230427 214.756364 \r\nL 264.260867 207.109247 \r\nL 264.321745 214.756364 \r\nL 264.352185 214.651609 \r\nL 264.413064 205.70553 \r\nL 264.473942 212.849822 \r\nL 264.504382 214.756364 \r\nL 264.534821 204.427518 \r\nL 264.5957 214.023078 \r\nL 264.717458 208.596768 \r\nL 264.747897 195.020517 \r\nL 264.808776 212.3889 \r\nL 264.900094 214.756364 \r\nL 264.930534 207.444463 \r\nL 265.021852 210.482359 \r\nL 265.052291 211.990831 \r\nL 265.11317 181.025246 \r\nL 265.143609 214.756364 \r\nL 265.174049 201.305819 \r\nL 265.295806 214.756364 \r\nL 265.356685 214.756364 \r\nL 265.387125 210.71282 \r\nL 265.478443 212.933626 \r\nL 265.508882 212.59841 \r\nL 265.539322 214.756364 \r\nL 265.661079 189.782766 \r\nL 265.721958 214.735413 \r\nL 265.782837 214.546854 \r\nL 265.874155 209.309102 \r\nL 265.904595 214.756364 \r\nL 265.995913 213.038381 \r\nL 266.026352 212.074635 \r\nL 266.056792 214.756364 \r\nL 266.14811 192.946368 \r\nL 266.239428 214.756364 \r\nL 266.269867 213.22694 \r\nL 266.300307 213.813568 \r\nL 266.330746 196.885157 \r\nL 266.391625 214.756364 \r\nL 266.422064 214.756364 \r\nL 266.452504 214.316393 \r\nL 266.482943 210.419506 \r\nL 266.513383 190.788415 \r\nL 266.574262 214.756364 \r\nL 266.604701 214.358295 \r\nL 266.66558 214.756364 \r\nL 266.787337 201.32677 \r\nL 266.817777 204.762734 \r\nL 266.939534 214.756364 \r\nL 267.000413 212.095586 \r\nL 267.030853 214.379246 \r\nL 267.091731 214.756364 \r\nL 267.213489 209.371955 \r\nL 267.243928 214.756364 \r\nL 267.304807 214.735413 \r\nL 267.426565 201.096309 \r\nL 267.487444 214.756364 \r\nL 267.548323 213.939274 \r\nL 267.578762 213.771666 \r\nL 267.639641 214.756364 \r\nL 267.67008 209.330053 \r\nL 267.761398 211.383252 \r\nL 267.822277 214.756364 \r\nL 267.852717 208.324405 \r\nL 267.913595 214.756364 \r\nL 267.974474 214.46305 \r\nL 268.004914 214.756364 \r\nL 268.035353 214.337344 \r\nL 268.065792 190.976974 \r\nL 268.126671 214.211638 \r\nL 268.248429 214.756364 \r\nL 268.339747 214.756364 \r\nL 268.400626 210.566163 \r\nL 268.431065 214.714462 \r\nL 268.461505 214.379246 \r\nL 268.491944 214.756364 \r\nL 268.522384 214.756364 \r\nL 268.552823 214.756364 \r\nL 268.735459 198.686943 \r\nL 268.826778 214.756364 \r\nL 268.857217 202.79334 \r\nL 268.918096 214.756364 \r\nL 268.948535 214.756364 \r\nL 269.009414 194.308183 \r\nL 269.039854 213.939274 \r\nL 269.070293 214.756364 \r\nL 269.131172 210.838526 \r\nL 269.192051 212.493655 \r\nL 269.252929 214.756364 \r\nL 269.283369 206.836884 \r\nL 269.344248 209.078641 \r\nL 269.435566 214.756364 \r\nL 269.466005 213.01743 \r\nL 269.496445 213.101234 \r\nL 269.557323 214.756364 \r\nL 269.618202 207.884434 \r\nL 269.73996 214.756364 \r\nL 269.861718 189.698962 \r\nL 270.013915 214.756364 \r\nL 270.044354 203.233311 \r\nL 270.105233 213.960225 \r\nL 270.166112 214.756364 \r\nL 270.196551 214.735413 \r\nL 270.25743 193.093025 \r\nL 270.318309 204.657979 \r\nL 270.470506 214.756364 \r\nL 270.500945 209.686221 \r\nL 270.561824 214.756364 \r\nL 270.622703 214.735413 \r\nL 270.653142 213.247891 \r\nL 270.714021 185.508761 \r\nL 270.74446 214.756364 \r\nL 270.7749 201.850545 \r\nL 270.805339 214.756364 \r\nL 270.896657 210.189045 \r\nL 270.927097 214.044029 \r\nL 271.018415 212.221292 \r\nL 271.079294 214.67256 \r\nL 271.109733 195.460489 \r\nL 271.231491 214.756364 \r\nL 271.353249 208.596768 \r\nL 271.444567 214.756364 \r\nL 271.475006 214.735413 \r\nL 271.535885 197.744148 \r\nL 271.596764 198.477433 \r\nL 271.688082 214.756364 \r\nL 271.718521 213.01743 \r\nL 271.748961 212.786969 \r\nL 271.7794 212.954577 \r\nL 271.901158 214.756364 \r\nL 272.022915 207.339708 \r\nL 272.114234 214.756364 \r\nL 272.083794 207.088296 \r\nL 272.144673 213.499303 \r\nL 272.266431 204.720832 \r\nL 272.388188 213.771666 \r\nL 272.479507 204.532273 \r\nL 272.449067 214.756364 \r\nL 272.509946 210.147143 \r\nL 272.570825 209.707172 \r\nL 272.631704 214.756364 \r\nL 272.753461 199.839248 \r\nL 272.844779 214.756364 \r\nL 272.875219 209.728123 \r\nL 272.936098 202.101957 \r\nL 272.996977 214.756364 \r\nL 273.057855 212.011782 \r\nL 273.149174 214.735413 \r\nL 273.179613 213.22694 \r\nL 273.240492 214.756364 \r\nL 273.301371 214.735413 \r\nL 273.362249 209.853829 \r\nL 273.392689 212.430802 \r\nL 273.423128 214.756364 \r\nL 273.453568 213.185038 \r\nL 273.484007 203.903743 \r\nL 273.514446 214.756364 \r\nL 273.544886 209.078641 \r\nL 273.575325 214.504952 \r\nL 273.605765 204.218008 \r\nL 273.636204 210.838526 \r\nL 273.666643 209.66527 \r\nL 273.697083 212.074635 \r\nL 273.818841 214.756364 \r\nL 273.879719 214.735413 \r\nL 273.910159 214.442099 \r\nL 273.971038 214.756364 \r\nL 274.031916 205.831236 \r\nL 274.092795 214.756364 \r\nL 274.123235 214.46305 \r\nL 274.153674 172.623894 \r\nL 274.184113 214.756364 \r\nL 274.214553 213.834519 \r\nL 274.275432 214.756364 \r\nL 274.305871 212.346998 \r\nL 274.427629 214.756364 \r\nL 274.579826 180.019598 \r\nL 274.671144 214.756364 \r\nL 274.701583 213.038381 \r\nL 274.732023 212.451753 \r\nL 274.762462 213.771666 \r\nL 274.823341 214.756364 \r\nL 274.85378 200.69824 \r\nL 274.945099 214.756364 \r\nL 274.975538 212.451753 \r\nL 275.036417 214.756364 \r\nL 275.066856 212.305096 \r\nL 275.097296 213.43645 \r\nL 275.158174 212.409851 \r\nL 275.219053 214.588756 \r\nL 275.249493 214.756364 \r\nL 275.279932 214.190687 \r\nL 275.310371 207.905385 \r\nL 275.37125 214.756364 \r\nL 275.40169 210.880428 \r\nL 275.432129 214.546854 \r\nL 275.462569 188.022882 \r\nL 275.493008 214.756364 \r\nL 275.523447 192.066426 \r\nL 275.584326 214.756364 \r\nL 275.645205 211.194693 \r\nL 275.675644 213.394548 \r\nL 275.706084 207.067345 \r\nL 275.736523 213.415499 \r\nL 275.766963 212.367949 \r\nL 275.858281 214.756364 \r\nL 276.040917 199.04311 \r\nL 276.071357 214.756364 \r\nL 276.162675 210.608065 \r\nL 276.193114 214.756364 \r\nL 276.223554 196.989912 \r\nL 276.284433 214.46305 \r\nL 276.314872 214.714462 \r\nL 276.375751 214.756364 \r\nL 276.43663 213.038381 \r\nL 276.467069 214.756364 \r\nL 276.497508 204.825588 \r\nL 276.588827 206.878786 \r\nL 276.619266 204.888441 \r\nL 276.649705 213.750715 \r\nL 276.741024 210.230947 \r\nL 276.801902 206.250256 \r\nL 276.832342 214.756364 \r\nL 276.862781 205.789334 \r\nL 276.92366 214.67256 \r\nL 277.014978 205.056049 \r\nL 277.075857 214.756364 \r\nL 277.106297 200.27922 \r\nL 277.136736 191.437896 \r\nL 277.167175 214.756364 \r\nL 277.228054 203.882792 \r\nL 277.258494 214.756364 \r\nL 277.349812 214.756364 \r\nL 277.380251 206.187403 \r\nL 277.44113 209.644319 \r\nL 277.471569 214.756364 \r\nL 277.532448 213.666911 \r\nL 277.562888 199.67164 \r\nL 277.623766 214.756364 \r\nL 277.684645 214.756364 \r\nL 277.775964 204.0504 \r\nL 277.867282 214.756364 \r\nL 277.9586 196.151872 \r\nL 277.989039 214.756364 \r\nL 278.080358 214.085931 \r\nL 278.141236 191.898818 \r\nL 278.171676 214.756364 \r\nL 278.202115 214.756364 \r\nL 278.262994 209.371955 \r\nL 278.293433 214.756364 \r\nL 278.323873 213.771666 \r\nL 278.354312 214.735413 \r\nL 278.415191 189.007579 \r\nL 278.44563 214.148785 \r\nL 278.47607 214.756364 \r\nL 278.506509 196.591843 \r\nL 278.567388 214.756364 \r\nL 278.597828 214.735413 \r\nL 278.628267 199.860199 \r\nL 278.689146 214.756364 \r\nL 278.719585 214.756364 \r\nL 278.750025 199.629738 \r\nL 278.810903 214.756364 \r\nL 278.841343 214.756364 \r\nL 278.871782 194.45484 \r\nL 278.932661 213.038381 \r\nL 278.99354 214.756364 \r\nL 279.023979 205.328412 \r\nL 279.054419 214.756364 \r\nL 279.084858 195.837607 \r\nL 279.115297 214.588756 \r\nL 279.145737 201.201064 \r\nL 279.206616 213.185038 \r\nL 279.237055 211.613713 \r\nL 279.267494 214.756364 \r\nL 279.328373 214.756364 \r\nL 279.389252 210.105241 \r\nL 279.450131 213.960225 \r\nL 279.51101 214.756364 \r\nL 279.541449 212.891724 \r\nL 279.571889 200.530632 \r\nL 279.602328 213.541205 \r\nL 279.663207 208.554866 \r\nL 279.693646 214.756364 \r\nL 279.724086 204.113253 \r\nL 279.754525 200.509681 \r\nL 279.784964 214.756364 \r\nL 279.845843 197.639393 \r\nL 280.058919 214.756364 \r\nL 280.119798 195.565244 \r\nL 280.150237 207.528267 \r\nL 280.180677 213.708813 \r\nL 280.241556 213.059332 \r\nL 280.332874 214.588756 \r\nL 280.363313 201.913398 \r\nL 280.51551 214.756364 \r\nL 280.54595 200.404926 \r\nL 280.606828 214.756364 \r\nL 280.637268 214.756364 \r\nL 280.667707 203.400919 \r\nL 280.728586 214.756364 \r\nL 280.789465 213.205989 \r\nL 280.819904 206.878786 \r\nL 280.880783 214.756364 \r\nL 280.911222 213.792617 \r\nL 280.972101 214.756364 \r\nL 281.002541 214.756364 \r\nL 281.03298 205.181755 \r\nL 281.124298 206.564521 \r\nL 281.154738 213.478352 \r\nL 281.185177 208.177748 \r\nL 281.215617 190.243688 \r\nL 281.276495 214.756364 \r\nL 281.306935 214.735413 \r\nL 281.337374 214.546854 \r\nL 281.398253 205.49602 \r\nL 281.428692 210.545212 \r\nL 281.459132 214.756364 \r\nL 281.55045 213.939274 \r\nL 281.611329 210.754722 \r\nL 281.641768 214.756364 \r\nL 281.672208 214.714462 \r\nL 281.702647 214.756364 \r\nL 281.733086 212.933626 \r\nL 281.763526 190.264639 \r\nL 281.824405 211.320399 \r\nL 281.854844 214.756364 \r\nL 281.915723 211.865125 \r\nL 281.946162 212.053684 \r\nL 281.976602 211.404203 \r\nL 282.037481 209.371955 \r\nL 282.06792 214.756364 \r\nL 282.098359 201.808643 \r\nL 282.159238 214.756364 \r\nL 282.220117 202.919046 \r\nL 282.250556 214.756364 \r\nL 282.280996 214.756364 \r\nL 282.402753 202.039104 \r\nL 282.494072 198.267923 \r\nL 282.524511 214.693511 \r\nL 282.55495 214.232589 \r\nL 282.58539 214.756364 \r\nL 282.615829 193.574898 \r\nL 282.676708 214.421148 \r\nL 282.768026 202.311467 \r\nL 282.798466 214.756364 \r\nL 282.889784 213.289793 \r\nL 282.920223 195.041468 \r\nL 283.011542 203.589478 \r\nL 283.07242 200.802995 \r\nL 283.194178 214.756364 \r\nL 283.285496 207.234953 \r\nL 283.315936 211.110889 \r\nL 283.376814 206.501668 \r\nL 283.407254 214.756364 \r\nL 283.437693 195.90046 \r\nL 283.498572 205.956942 \r\nL 283.529012 214.756364 \r\nL 283.58989 210.377604 \r\nL 283.62033 185.927781 \r\nL 283.650769 214.756364 \r\nL 283.711648 193.972967 \r\nL 283.802966 214.756364 \r\nL 283.833406 213.708813 \r\nL 283.863845 213.604058 \r\nL 283.955163 214.756364 \r\nL 283.985603 214.148785 \r\nL 284.016042 212.263194 \r\nL 284.046481 214.25354 \r\nL 284.076921 214.106882 \r\nL 284.10736 214.085931 \r\nL 284.168239 214.756364 \r\nL 284.198679 211.027085 \r\nL 284.289997 214.756364 \r\nL 284.320436 214.504952 \r\nL 284.503073 195.523342 \r\nL 284.594391 211.823223 \r\nL 284.62483 205.70553 \r\nL 284.685709 214.756364 \r\nL 284.746588 213.918323 \r\nL 284.807467 214.756364 \r\nL 284.837906 209.87478 \r\nL 284.898785 211.068987 \r\nL 284.929224 214.735413 \r\nL 284.959664 212.682214 \r\nL 285.050982 196.172823 \r\nL 285.17274 214.735413 \r\nL 285.203179 214.442099 \r\nL 285.233618 212.200341 \r\nL 285.264058 214.756364 \r\nL 285.294497 213.01743 \r\nL 285.355376 180.291961 \r\nL 285.385815 214.358295 \r\nL 285.416255 202.185761 \r\nL 285.538012 214.756364 \r\nL 285.568452 214.756364 \r\nL 285.690209 206.229305 \r\nL 285.720649 207.067345 \r\nL 285.842407 214.756364 \r\nL 285.872846 203.359017 \r\nL 285.933725 214.756364 \r\nL 285.964164 214.756364 \r\nL 286.025043 200.069709 \r\nL 286.055482 201.766741 \r\nL 286.146801 214.756364 \r\nL 286.268558 192.925417 \r\nL 286.298998 214.756364 \r\nL 286.390316 212.3889 \r\nL 286.420755 202.101957 \r\nL 286.481634 211.299448 \r\nL 286.512073 210.482359 \r\nL 286.542513 211.173742 \r\nL 286.572952 212.849822 \r\nL 286.633831 214.232589 \r\nL 286.69471 194.496742 \r\nL 286.755589 214.756364 \r\nL 286.816468 214.148785 \r\nL 286.846907 214.023078 \r\nL 286.938225 199.189767 \r\nL 286.907786 214.735413 \r\nL 286.968665 207.779679 \r\nL 287.029543 214.735413 \r\nL 287.059983 199.04311 \r\nL 287.120862 212.556508 \r\nL 287.18174 209.895731 \r\nL 287.21218 214.756364 \r\nL 287.333937 176.332221 \r\nL 287.455695 214.756364 \r\nL 287.486135 186.09539 \r\nL 287.547013 214.67256 \r\nL 287.577453 214.756364 \r\nL 287.607892 188.106686 \r\nL 287.668771 214.756364 \r\nL 287.69921 214.756364 \r\nL 287.760089 207.905385 \r\nL 287.790529 193.553947 \r\nL 287.820968 214.756364 \r\nL 287.851407 214.735413 \r\nL 287.881847 214.756364 \r\nL 287.912286 189.908472 \r\nL 287.973165 214.756364 \r\nL 288.034044 214.756364 \r\nL 288.064483 210.629016 \r\nL 288.155801 211.508958 \r\nL 288.24712 214.756364 \r\nL 288.277559 201.74579 \r\nL 288.338438 208.84818 \r\nL 288.368877 213.122185 \r\nL 288.399317 212.828871 \r\nL 288.429756 204.113253 \r\nL 288.460196 214.756364 \r\nL 288.490635 212.828871 \r\nL 288.521074 214.756364 \r\nL 288.551514 196.340431 \r\nL 288.612393 213.247891 \r\nL 288.673271 214.127834 \r\nL 288.73415 209.204347 \r\nL 288.76459 214.756364 \r\nL 288.825468 213.771666 \r\nL 288.855908 210.377604 \r\nL 288.916787 214.735413 \r\nL 289.008105 210.042388 \r\nL 289.038544 212.933626 \r\nL 289.099423 214.756364 \r\nL 289.129863 214.67256 \r\nL 289.25162 206.774031 \r\nL 289.28206 214.756364 \r\nL 289.312499 214.169736 \r\nL 289.342938 195.879509 \r\nL 289.403817 214.756364 \r\nL 289.434257 211.886076 \r\nL 289.464696 173.294326 \r\nL 289.495135 214.756364 \r\nL 289.525575 211.529909 \r\nL 289.556014 210.754722 \r\nL 289.586454 214.756364 \r\nL 289.616893 208.994837 \r\nL 289.647332 203.652331 \r\nL 289.677772 214.756364 \r\nL 289.708211 214.756364 \r\nL 289.799529 209.078641 \r\nL 289.829969 214.756364 \r\nL 289.921287 214.400197 \r\nL 290.012605 214.756364 \r\nL 290.043045 211.76037 \r\nL 290.134363 212.954577 \r\nL 290.164802 211.446105 \r\nL 290.195242 214.756364 \r\nL 290.225681 211.613713 \r\nL 290.256121 200.342073 \r\nL 290.28656 214.756364 \r\nL 290.316999 214.756364 \r\nL 290.347439 214.756364 \r\nL 290.408318 209.581466 \r\nL 290.469196 213.960225 \r\nL 290.530075 212.996479 \r\nL 290.560515 214.756364 \r\nL 290.651833 211.068987 \r\nL 290.682272 214.274491 \r\nL 290.773591 187.582911 \r\nL 290.895348 214.735413 \r\nL 290.925788 178.972048 \r\nL 290.986666 214.756364 \r\nL 291.017106 214.756364 \r\nL 291.047545 202.143859 \r\nL 291.138863 206.271207 \r\nL 291.199742 214.756364 \r\nL 291.260621 214.442099 \r\nL 291.29106 206.438815 \r\nL 291.351939 214.756364 \r\nL 291.382379 214.756364 \r\nL 291.412818 203.778037 \r\nL 291.473697 210.545212 \r\nL 291.595455 214.756364 \r\nL 291.656333 211.215644 \r\nL 291.686773 214.756364 \r\nL 291.717212 214.756364 \r\nL 291.869409 205.579824 \r\nL 291.899849 201.263917 \r\nL 291.991167 214.756364 \r\nL 292.021606 189.573256 \r\nL 292.082485 214.756364 \r\nL 292.143364 198.058413 \r\nL 292.173803 214.756364 \r\nL 292.295561 211.257546 \r\nL 292.326 214.735413 \r\nL 292.35644 204.67893 \r\nL 292.386879 214.756364 \r\nL 292.447758 210.398555 \r\nL 292.508637 214.756364 \r\nL 292.539076 208.261552 \r\nL 292.691273 214.756364 \r\nL 292.721713 205.831236 \r\nL 292.782591 213.666911 \r\nL 292.84347 214.756364 \r\nL 292.965228 183.581269 \r\nL 293.086986 214.756364 \r\nL 293.117425 213.918323 \r\nL 293.178304 214.756364 \r\nL 293.208743 214.756364 \r\nL 293.330501 195.816656 \r\nL 293.421819 214.756364 \r\nL 293.452258 208.743425 \r\nL 293.513137 207.821581 \r\nL 293.574016 214.756364 \r\nL 293.604455 202.018153 \r\nL 293.665334 206.355011 \r\nL 293.695774 214.756364 \r\nL 293.787092 214.714462 \r\nL 293.817531 213.415499 \r\nL 293.847971 214.756364 \r\nL 293.87841 199.189767 \r\nL 293.939289 214.756364 \r\nL 293.969728 214.714462 \r\nL 294.091486 196.361382 \r\nL 294.121925 205.475069 \r\nL 294.182804 214.756364 \r\nL 294.213244 203.42187 \r\nL 294.243683 198.037462 \r\nL 294.274122 211.467056 \r\nL 294.304562 214.484001 \r\nL 294.365441 199.713542 \r\nL 294.426319 204.574175 \r\nL 294.487198 214.190687 \r\nL 294.548077 212.053684 \r\nL 294.578516 198.435531 \r\nL 294.608956 214.756364 \r\nL 294.639395 214.756364 \r\nL 294.700274 204.553224 \r\nL 294.730714 214.756364 \r\nL 294.761153 213.85547 \r\nL 294.791592 214.735413 \r\nL 294.822032 207.59112 \r\nL 294.852471 214.756364 \r\nL 294.91335 212.095586 \r\nL 294.974229 214.756364 \r\nL 295.065547 198.791698 \r\nL 295.156865 214.756364 \r\nL 295.187305 208.785327 \r\nL 295.217744 191.668357 \r\nL 295.248183 214.693511 \r\nL 295.278623 214.421148 \r\nL 295.309062 203.861841 \r\nL 295.339502 214.756364 \r\nL 295.369941 207.046394 \r\nL 295.43082 214.756364 \r\nL 295.491699 213.687862 \r\nL 295.552578 214.756364 \r\nL 295.674335 211.152791 \r\nL 295.704775 214.756364 \r\nL 295.735214 196.256627 \r\nL 295.796093 214.756364 \r\nL 295.826532 209.183396 \r\nL 295.887411 214.735413 \r\nL 295.94829 214.337344 \r\nL 295.978729 206.33406 \r\nL 296.039608 214.756364 \r\nL 296.070047 211.802272 \r\nL 296.130926 212.912675 \r\nL 296.191805 214.756364 \r\nL 296.313563 201.075358 \r\nL 296.344002 214.756364 \r\nL 296.43532 214.735413 \r\nL 296.496199 211.592762 \r\nL 296.526639 214.756364 \r\nL 296.557078 214.714462 \r\nL 296.587517 200.258269 \r\nL 296.617957 214.735413 \r\nL 296.648396 206.878786 \r\nL 296.739714 206.774031 \r\nL 296.770154 214.756364 \r\nL 296.831033 214.756364 \r\nL 296.861472 214.421148 \r\nL 296.922351 214.735413 \r\nL 296.98323 214.756364 \r\nL 297.074548 184.251701 \r\nL 297.196306 214.756364 \r\nL 297.226745 214.756364 \r\nL 297.348503 202.060055 \r\nL 297.47026 214.756364 \r\nL 297.622457 193.281584 \r\nL 297.744215 214.756364 \r\nL 297.774654 210.147143 \r\nL 297.835533 208.931984 \r\nL 297.865973 214.525903 \r\nL 297.896412 205.537922 \r\nL 297.926851 214.756364 \r\nL 297.957291 214.756364 \r\nL 298.109488 214.756364 \r\nL 298.139927 199.818297 \r\nL 298.231245 202.353369 \r\nL 298.322564 212.284145 \r\nL 298.383442 207.737777 \r\nL 298.413882 204.0504 \r\nL 298.444321 214.756364 \r\nL 298.5052 214.211638 \r\nL 298.535639 199.608787 \r\nL 298.596518 208.575817 \r\nL 298.626958 209.644319 \r\nL 298.657397 193.386339 \r\nL 298.687837 214.735413 \r\nL 298.748715 200.572534 \r\nL 298.809594 214.756364 \r\nL 298.870473 206.899737 \r\nL 298.931352 214.756364 \r\nL 298.961791 212.535557 \r\nL 298.992231 202.269565 \r\nL 299.02267 214.756364 \r\nL 299.083549 207.737777 \r\nL 299.235746 214.756364 \r\nL 299.327064 203.903743 \r\nL 299.357503 212.011782 \r\nL 299.387943 214.358295 \r\nL 299.418382 194.769105 \r\nL 299.448822 214.756364 \r\nL 299.479261 214.023078 \r\nL 299.54014 214.504952 \r\nL 299.601019 203.63138 \r\nL 299.722776 214.756364 \r\nL 299.753216 214.756364 \r\nL 299.783655 209.309102 \r\nL 299.844534 210.901379 \r\nL 299.874973 214.106882 \r\nL 299.935852 209.351004 \r\nL 299.966292 212.640312 \r\nL 299.996731 196.864206 \r\nL 300.02717 214.756364 \r\nL 300.05761 207.444463 \r\nL 300.148928 214.756364 \r\nL 300.179367 195.628097 \r\nL 300.270686 201.997202 \r\nL 300.331565 214.756364 \r\nL 300.362004 207.821581 \r\nL 300.392443 190.07608 \r\nL 300.453322 214.756364 \r\nL 300.514201 206.899737 \r\nL 300.57508 210.880428 \r\nL 300.605519 214.316393 \r\nL 300.635959 214.25354 \r\nL 300.666398 198.875502 \r\nL 300.727277 207.067345 \r\nL 300.757716 214.756364 \r\nL 300.788156 213.687862 \r\nL 300.818595 200.195416 \r\nL 300.879474 213.185038 \r\nL 300.909913 214.756364 \r\nL 301.001231 190.537002 \r\nL 301.031671 210.209996 \r\nL 301.09255 213.813568 \r\nL 301.122989 205.391265 \r\nL 301.183868 214.756364 \r\nL 301.244747 213.22694 \r\nL 301.275186 214.735413 \r\nL 301.366504 208.345356 \r\nL 301.396944 210.063339 \r\nL 301.457823 214.756364 \r\nL 301.518701 202.814291 \r\nL 301.549141 212.828871 \r\nL 301.640459 214.756364 \r\nL 301.61002 210.943281 \r\nL 301.670898 214.567805 \r\nL 301.701338 214.756364 \r\nL 301.731777 207.130198 \r\nL 301.823095 209.351004 \r\nL 301.914414 214.756364 \r\nL 301.944853 192.317838 \r\nL 302.036171 205.558873 \r\nL 302.066611 214.756364 \r\nL 302.157929 210.964232 \r\nL 302.218808 206.96259 \r\nL 302.279687 214.756364 \r\nL 302.371005 211.676566 \r\nL 302.401444 200.572534 \r\nL 302.462323 214.756364 \r\nL 302.492762 214.148785 \r\nL 302.553641 214.232589 \r\nL 302.584081 208.764376 \r\nL 302.644959 214.756364 \r\nL 302.797157 211.320399 \r\nL 302.827596 213.771666 \r\nL 302.858035 213.205989 \r\nL 302.888475 198.163168 \r\nL 302.949354 214.756364 \r\nL 303.040672 202.479075 \r\nL 303.101551 210.608065 \r\nL 303.13199 212.724116 \r\nL 303.162429 197.681295 \r\nL 303.192869 213.834519 \r\nL 303.223308 213.625009 \r\nL 303.284187 210.230947 \r\nL 303.314626 213.918323 \r\nL 303.345066 213.834519 \r\nL 303.375505 214.106882 \r\nL 303.466824 212.430802 \r\nL 303.497263 214.756364 \r\nL 303.527702 201.724839 \r\nL 303.588581 214.756364 \r\nL 303.710339 206.857835 \r\nL 303.832096 214.756364 \r\nL 303.801657 204.741783 \r\nL 303.862536 214.190687 \r\nL 303.892975 192.799711 \r\nL 303.923415 214.756364 \r\nL 303.953854 212.745067 \r\nL 304.014733 214.756364 \r\nL 304.045172 201.892447 \r\nL 304.106051 214.756364 \r\nL 304.13649 214.756364 \r\nL 304.16693 212.17939 \r\nL 304.227809 214.756364 \r\nL 304.258248 214.484001 \r\nL 304.288688 214.756364 \r\nL 304.319127 205.894089 \r\nL 304.380006 211.718468 \r\nL 304.471324 214.756364 \r\nL 304.501763 209.162445 \r\nL 304.562642 214.756364 \r\nL 304.593082 214.756364 \r\nL 304.623521 214.609707 \r\nL 304.65396 195.334782 \r\nL 304.714839 214.714462 \r\nL 304.745279 195.90046 \r\nL 304.897476 214.756364 \r\nL 304.927915 197.220373 \r\nL 304.988794 211.027085 \r\nL 305.049673 214.756364 \r\nL 305.080112 207.38161 \r\nL 305.17143 209.392906 \r\nL 305.20187 214.756364 \r\nL 305.232309 208.722474 \r\nL 305.262749 201.242966 \r\nL 305.293188 210.587114 \r\nL 305.323627 214.756364 \r\nL 305.354067 188.169539 \r\nL 305.414946 211.697517 \r\nL 305.445385 210.524261 \r\nL 305.475824 214.756364 \r\nL 305.536703 213.01743 \r\nL 305.567143 209.728123 \r\nL 305.628021 214.735413 \r\nL 305.658461 214.756364 \r\nL 305.71934 214.148785 \r\nL 305.749779 191.458847 \r\nL 305.780218 214.735413 \r\nL 305.810658 214.651609 \r\nL 305.841097 214.06498 \r\nL 305.871537 202.060055 \r\nL 305.901976 214.756364 \r\nL 305.932416 212.326047 \r\nL 306.023734 214.756364 \r\nL 306.054173 214.714462 \r\nL 306.084613 203.233311 \r\nL 306.115052 214.756364 \r\nL 306.145491 211.404203 \r\nL 306.175931 214.756364 \r\nL 306.20637 201.284868 \r\nL 306.297688 206.878786 \r\nL 306.328128 210.733771 \r\nL 306.358567 186.975332 \r\nL 306.389007 214.756364 \r\nL 306.449885 198.854551 \r\nL 306.480325 214.756364 \r\nL 306.571643 213.876421 \r\nL 306.602082 214.693511 \r\nL 306.693401 214.756364 \r\nL 306.72384 201.871496 \r\nL 306.75428 214.756364 \r\nL 306.845598 211.152791 \r\nL 306.876037 206.54357 \r\nL 306.906477 214.735413 \r\nL 306.936916 214.756364 \r\nL 306.967355 208.680572 \r\nL 307.028234 211.990831 \r\nL 307.058674 212.891724 \r\nL 307.089113 204.825588 \r\nL 307.119552 214.756364 \r\nL 307.149992 212.284145 \r\nL 307.210871 214.756364 \r\nL 307.24131 200.593485 \r\nL 307.332628 209.225298 \r\nL 307.363068 212.242243 \r\nL 307.393507 193.260633 \r\nL 307.454386 214.756364 \r\nL 307.484825 200.174465 \r\nL 307.545704 214.756364 \r\nL 307.606583 214.002127 \r\nL 307.637022 214.756364 \r\nL 307.667462 189.196138 \r\nL 307.728341 211.006134 \r\nL 307.789219 212.472704 \r\nL 307.880538 203.505674 \r\nL 307.910977 210.587114 \r\nL 307.971856 209.602417 \r\nL 308.093613 214.756364 \r\nL 308.124053 214.085931 \r\nL 308.184932 202.898095 \r\nL 308.215371 209.916682 \r\nL 308.306689 209.183396 \r\nL 308.337129 214.756364 \r\nL 308.458886 206.145501 \r\nL 308.580644 214.651609 \r\nL 308.732841 203.023801 \r\nL 308.854599 214.274491 \r\nL 308.885038 206.501668 \r\nL 308.945917 213.85547 \r\nL 308.976356 214.756364 \r\nL 309.006796 195.816656 \r\nL 309.067674 214.756364 \r\nL 309.098114 214.756364 \r\nL 309.28075 195.942362 \r\nL 309.372069 214.756364 \r\nL 309.341629 192.024524 \r\nL 309.402508 207.716826 \r\nL 309.432947 202.751438 \r\nL 309.463387 214.714462 \r\nL 309.493826 214.756364 \r\nL 309.524266 200.048758 \r\nL 309.615584 207.004492 \r\nL 309.706902 202.814291 \r\nL 309.82866 214.756364 \r\nL 309.950417 208.21965 \r\nL 310.072175 214.756364 \r\nL 310.041736 207.968238 \r\nL 310.102614 214.714462 \r\nL 310.193933 210.545212 \r\nL 310.224372 211.404203 \r\nL 310.254811 205.118902 \r\nL 310.31569 211.865125 \r\nL 310.376569 209.770025 \r\nL 310.407008 213.268842 \r\nL 310.437448 210.649967 \r\nL 310.467887 200.614436 \r\nL 310.498327 214.756364 \r\nL 310.528766 214.756364 \r\nL 310.650524 205.935991 \r\nL 310.680963 214.756364 \r\nL 310.711403 189.363746 \r\nL 310.772281 210.817575 \r\nL 310.802721 214.756364 \r\nL 310.83316 211.529909 \r\nL 310.8636 203.715184 \r\nL 310.894039 214.756364 \r\nL 310.954918 207.737777 \r\nL 310.985357 208.450111 \r\nL 311.046236 214.756364 \r\nL 311.076675 202.227663 \r\nL 311.137554 207.025443 \r\nL 311.228872 214.756364 \r\nL 311.198433 203.736135 \r\nL 311.259312 209.790976 \r\nL 311.289751 214.735413 \r\nL 311.320191 203.023801 \r\nL 311.502827 214.756364 \r\nL 311.594145 195.711901 \r\nL 311.624585 214.756364 \r\nL 311.685464 195.565244 \r\nL 311.715903 212.221292 \r\nL 311.746342 204.218008 \r\nL 311.807221 214.714462 \r\nL 311.8681 214.756364 \r\nL 311.898539 197.492736 \r\nL 312.020297 214.756364 \r\nL 312.111615 200.719191 \r\nL 312.142055 206.396913 \r\nL 312.202933 214.756364 \r\nL 312.263812 212.409851 \r\nL 312.294252 208.261552 \r\nL 312.355131 211.488007 \r\nL 312.416009 211.236595 \r\nL 312.446449 214.756364 \r\nL 312.476888 195.795705 \r\nL 312.537767 214.756364 \r\nL 312.598646 208.575817 \r\nL 312.629085 214.756364 \r\nL 312.659525 196.654696 \r\nL 312.720403 213.247891 \r\nL 312.750843 213.22694 \r\nL 312.8726 214.756364 \r\nL 312.994358 182.408013 \r\nL 313.055237 214.756364 \r\nL 313.116116 214.735413 \r\nL 313.146555 208.01014 \r\nL 313.207434 214.693511 \r\nL 313.237873 214.756364 \r\nL 313.268313 169.858361 \r\nL 313.359631 189.154236 \r\nL 313.450949 214.756364 \r\nL 313.481389 212.409851 \r\nL 313.511828 212.221292 \r\nL 313.542267 209.078641 \r\nL 313.572707 214.756364 \r\nL 313.603146 213.813568 \r\nL 313.633586 213.876421 \r\nL 313.694464 204.846539 \r\nL 313.724904 214.756364 \r\nL 313.755343 210.50331 \r\nL 313.816222 214.756364 \r\nL 313.877101 212.577459 \r\nL 313.90754 214.756364 \r\nL 313.93798 213.331695 \r\nL 313.998859 195.146223 \r\nL 314.029298 214.735413 \r\nL 314.059737 208.345356 \r\nL 314.090177 214.06498 \r\nL 314.120616 190.725561 \r\nL 314.211934 204.218008 \r\nL 314.303253 214.756364 \r\nL 314.333692 214.400197 \r\nL 314.364131 214.756364 \r\nL 314.394571 213.122185 \r\nL 314.42501 214.400197 \r\nL 314.45545 200.572534 \r\nL 314.485889 214.756364 \r\nL 314.516328 207.465414 \r\nL 314.638086 214.756364 \r\nL 314.759844 193.512045 \r\nL 314.851162 214.756364 \r\nL 314.881601 211.006134 \r\nL 314.97292 197.450834 \r\nL 315.003359 206.627374 \r\nL 315.155556 214.756364 \r\nL 315.185995 211.781321 \r\nL 315.246874 213.625009 \r\nL 315.307753 212.912675 \r\nL 315.338192 214.756364 \r\nL 315.45995 209.371955 \r\nL 315.520829 214.148785 \r\nL 315.612147 203.254262 \r\nL 315.703465 214.756364 \r\nL 315.733905 213.373597 \r\nL 315.794784 214.756364 \r\nL 315.946981 202.646683 \r\nL 316.068738 214.756364 \r\nL 316.099178 203.254262 \r\nL 316.190496 210.2938 \r\nL 316.281814 214.756364 \r\nL 316.312253 212.724116 \r\nL 316.342693 208.512964 \r\nL 316.373132 214.127834 \r\nL 316.403572 210.754722 \r\nL 316.434011 214.756364 \r\nL 316.49489 214.358295 \r\nL 316.555769 207.758728 \r\nL 316.586208 214.484001 \r\nL 316.647087 214.756364 \r\nL 316.677526 197.618442 \r\nL 316.768845 208.261552 \r\nL 316.799284 214.756364 \r\nL 316.829723 214.735413 \r\nL 316.860163 203.086654 \r\nL 316.890602 214.756364 \r\nL 316.921042 214.756364 \r\nL 316.951481 214.735413 \r\nL 317.103678 183.665073 \r\nL 317.194996 214.756364 \r\nL 317.225436 209.916682 \r\nL 317.255875 207.570169 \r\nL 317.316754 210.859477 \r\nL 317.347193 214.756364 \r\nL 317.408072 211.571811 \r\nL 317.468951 212.430802 \r\nL 317.52983 203.610429 \r\nL 317.560269 212.284145 \r\nL 317.651587 209.288151 \r\nL 317.682027 213.834519 \r\nL 317.712466 204.825588 \r\nL 317.742906 198.372678 \r\nL 317.773345 214.756364 \r\nL 317.895103 211.634664 \r\nL 317.986421 214.756364 \r\nL 318.01686 212.284145 \r\nL 318.0473 213.750715 \r\nL 318.108179 173.042914 \r\nL 318.138618 213.792617 \r\nL 318.169057 214.484001 \r\nL 318.199497 205.49602 \r\nL 318.260376 206.75308 \r\nL 318.290815 214.756364 \r\nL 318.321254 188.420951 \r\nL 318.382133 200.006856 \r\nL 318.443012 214.756364 \r\nL 318.473451 203.673282 \r\nL 318.503891 202.416222 \r\nL 318.625648 214.756364 \r\nL 318.656088 214.06498 \r\nL 318.747406 214.756364 \r\nL 318.777846 206.292158 \r\nL 318.808285 214.756364 \r\nL 318.899603 209.916682 \r\nL 319.021361 214.756364 \r\nL 319.0518 214.756364 \r\nL 319.173558 207.989189 \r\nL 319.264876 214.756364 \r\nL 319.295315 214.735413 \r\nL 319.356194 208.596768 \r\nL 319.386634 214.756364 \r\nL 319.417073 214.756364 \r\nL 319.447512 213.625009 \r\nL 319.508391 202.227663 \r\nL 319.56927 206.208354 \r\nL 319.630149 207.80063 \r\nL 319.751907 214.756364 \r\nL 319.873664 200.593485 \r\nL 319.904104 208.785327 \r\nL 319.964982 208.63867 \r\nL 320.025861 214.756364 \r\nL 320.056301 214.756364 \r\nL 320.147619 209.246249 \r\nL 320.178058 212.59841 \r\nL 320.208498 214.756364 \r\nL 320.238937 211.634664 \r\nL 320.269376 214.714462 \r\nL 320.421574 199.88115 \r\nL 320.482452 214.756364 \r\nL 320.543331 211.927978 \r\nL 320.60421 214.756364 \r\nL 320.665089 177.505478 \r\nL 320.725968 214.756364 \r\nL 320.786846 214.735413 \r\nL 320.817286 214.756364 \r\nL 320.878165 185.48781 \r\nL 320.908604 214.085931 \r\nL 320.969483 213.960225 \r\nL 320.999922 214.756364 \r\nL 321.030362 197.304177 \r\nL 321.09124 211.948929 \r\nL 321.12168 210.189045 \r\nL 321.152119 214.756364 \r\nL 321.182559 214.756364 \r\nL 321.243438 211.110889 \r\nL 321.273877 208.471062 \r\nL 321.304316 212.451753 \r\nL 321.395635 214.756364 \r\nL 321.426074 209.518613 \r\nL 321.486953 214.756364 \r\nL 321.517392 214.735413 \r\nL 321.547832 206.899737 \r\nL 321.60871 214.169736 \r\nL 321.63915 214.337344 \r\nL 321.669589 202.604781 \r\nL 321.730468 214.756364 \r\nL 321.852226 204.574175 \r\nL 321.882665 172.623894 \r\nL 321.913104 212.891724 \r\nL 321.943544 207.151149 \r\nL 321.973983 214.756364 \r\nL 322.034862 213.960225 \r\nL 322.065302 193.051123 \r\nL 322.095741 214.756364 \r\nL 322.12618 212.724116 \r\nL 322.15662 209.707172 \r\nL 322.217499 212.17939 \r\nL 322.247938 182.596572 \r\nL 322.308817 214.379246 \r\nL 322.369696 208.617719 \r\nL 322.400135 214.756364 \r\nL 322.521893 206.166452 \r\nL 322.582771 209.141494 \r\nL 322.613211 214.756364 \r\nL 322.67409 213.22694 \r\nL 322.704529 205.49602 \r\nL 322.734968 213.394548 \r\nL 322.765408 207.674924 \r\nL 322.826287 214.756364 \r\nL 322.917605 214.25354 \r\nL 322.948044 214.756364 \r\nL 322.978484 208.408209 \r\nL 323.069802 210.775673 \r\nL 323.100241 214.756364 \r\nL 323.130681 206.438815 \r\nL 323.16112 210.461408 \r\nL 323.282878 214.756364 \r\nL 323.343757 205.160804 \r\nL 323.404635 207.255904 \r\nL 323.435075 207.109247 \r\nL 323.556833 214.756364 \r\nL 323.587272 214.735413 \r\nL 323.67859 214.756364 \r\nL 323.70903 193.763457 \r\nL 323.830787 214.756364 \r\nL 323.922105 205.244608 \r\nL 323.952545 208.911033 \r\nL 323.982984 208.827229 \r\nL 324.013424 214.421148 \r\nL 324.074302 212.975528 \r\nL 324.165621 200.153514 \r\nL 324.19606 210.92233 \r\nL 324.317818 214.756364 \r\nL 324.348257 205.726481 \r\nL 324.409136 214.044029 \r\nL 324.530894 214.756364 \r\nL 324.652651 206.711178 \r\nL 324.774409 214.609707 \r\nL 324.804848 214.756364 \r\nL 324.926606 205.642677 \r\nL 325.048363 214.756364 \r\nL 325.078803 214.442099 \r\nL 325.139682 214.756364 \r\nL 325.170121 214.735413 \r\nL 325.200561 187.960029 \r\nL 325.261439 213.708813 \r\nL 325.383197 194.266281 \r\nL 325.444076 190.976974 \r\nL 325.504955 214.756364 \r\nL 325.657152 207.674924 \r\nL 325.687591 214.756364 \r\nL 325.71803 202.122908 \r\nL 325.74847 213.64596 \r\nL 325.778909 188.651412 \r\nL 325.809349 214.756364 \r\nL 325.870227 200.300171 \r\nL 325.900667 214.756364 \r\nL 325.991985 211.676566 \r\nL 326.022425 211.948929 \r\nL 326.083303 214.756364 \r\nL 326.113743 205.056049 \r\nL 326.205061 210.92233 \r\nL 326.2355 209.162445 \r\nL 326.357258 214.756364 \r\nL 326.387697 214.735413 \r\nL 326.418137 184.922133 \r\nL 326.448576 214.756364 \r\nL 326.479016 214.756364 \r\nL 326.509455 214.756364 \r\nL 326.539894 195.921411 \r\nL 326.600773 214.756364 \r\nL 326.661652 209.623368 \r\nL 326.75297 211.508958 \r\nL 326.78341 214.546854 \r\nL 326.813849 210.901379 \r\nL 326.844289 211.488007 \r\nL 326.874728 211.425154 \r\nL 326.905167 199.566885 \r\nL 326.966046 212.996479 \r\nL 326.996486 211.173742 \r\nL 327.026925 211.529909 \r\nL 327.118243 214.756364 \r\nL 327.148683 214.735413 \r\nL 327.179122 202.898095 \r\nL 327.240001 214.756364 \r\nL 327.30088 214.693511 \r\nL 327.392198 214.756364 \r\nL 327.422637 205.265559 \r\nL 327.544395 214.756364 \r\nL 327.574834 204.825588 \r\nL 327.635713 214.693511 \r\nL 327.727031 210.859477 \r\nL 327.696592 214.714462 \r\nL 327.757471 213.22694 \r\nL 327.78791 196.361382 \r\nL 327.848789 213.64596 \r\nL 327.879228 214.358295 \r\nL 327.909668 213.122185 \r\nL 327.970547 205.244608 \r\nL 328.000986 214.044029 \r\nL 328.031425 208.806278 \r\nL 328.061865 214.735413 \r\nL 328.122744 214.714462 \r\nL 328.153183 204.343714 \r\nL 328.183622 214.756364 \r\nL 328.244501 208.994837 \r\nL 328.274941 206.648325 \r\nL 328.366259 203.338066 \r\nL 328.396698 214.756364 \r\nL 328.427138 214.756364 \r\nL 328.548895 207.109247 \r\nL 328.670653 214.756364 \r\nL 328.701092 209.288151 \r\nL 328.792411 209.560515 \r\nL 328.914168 214.756364 \r\nL 328.975047 207.947287 \r\nL 329.035926 213.625009 \r\nL 329.066365 214.756364 \r\nL 329.127244 214.295442 \r\nL 329.218562 210.021437 \r\nL 329.279441 214.756364 \r\nL 329.309881 208.093944 \r\nL 329.34032 214.588756 \r\nL 329.401199 212.724116 \r\nL 329.431638 214.756364 \r\nL 329.462078 190.516051 \r\nL 329.522956 214.756364 \r\nL 329.553396 214.756364 \r\nL 329.614275 203.652331 \r\nL 329.705593 204.071351 \r\nL 329.82735 214.756364 \r\nL 329.918669 206.878786 \r\nL 330.040426 214.756364 \r\nL 330.101305 211.571811 \r\nL 330.192623 214.148785 \r\nL 330.223063 191.416945 \r\nL 330.283942 214.756364 \r\nL 330.34482 210.147143 \r\nL 330.405699 185.823026 \r\nL 330.436139 209.66527 \r\nL 330.527457 214.756364 \r\nL 330.557896 211.739419 \r\nL 330.588336 196.424235 \r\nL 330.649214 213.415499 \r\nL 330.710093 204.301812 \r\nL 330.770972 206.941639 \r\nL 330.801412 214.714462 \r\nL 330.831851 204.071351 \r\nL 330.89273 214.484001 \r\nL 331.014487 208.596768 \r\nL 331.075366 214.756364 \r\nL 331.136245 213.813568 \r\nL 331.166684 191.437896 \r\nL 331.227563 214.756364 \r\nL 331.258003 205.118902 \r\nL 331.349321 214.756364 \r\nL 331.37976 214.735413 \r\nL 331.471078 214.735413 \r\nL 331.501518 193.574898 \r\nL 331.531957 214.756364 \r\nL 331.592836 205.621726 \r\nL 331.623276 203.568527 \r\nL 331.653715 207.1721 \r\nL 331.684154 214.504952 \r\nL 331.714594 209.895731 \r\nL 331.745033 187.520058 \r\nL 331.805912 214.484001 \r\nL 331.836351 203.191409 \r\nL 331.866791 214.756364 \r\nL 331.89723 212.305096 \r\nL 331.958109 214.756364 \r\nL 331.988548 200.111612 \r\nL 332.049427 201.850545 \r\nL 332.171185 214.756364 \r\nL 332.201624 210.000486 \r\nL 332.262503 210.168094 \r\nL 332.323382 214.756364 \r\nL 332.384261 211.781321 \r\nL 332.4147 201.599133 \r\nL 332.475579 211.823223 \r\nL 332.506018 214.358295 \r\nL 332.536458 213.604058 \r\nL 332.627776 202.37432 \r\nL 332.658215 214.756364 \r\nL 332.688655 198.456482 \r\nL 332.749534 212.221292 \r\nL 332.779973 214.756364 \r\nL 332.901731 201.305819 \r\nL 333.023488 214.756364 \r\nL 333.053928 214.651609 \r\nL 333.084367 214.756364 \r\nL 333.114806 196.549941 \r\nL 333.175685 208.408209 \r\nL 333.206125 214.756364 \r\nL 333.236564 213.625009 \r\nL 333.267004 202.143859 \r\nL 333.327882 214.756364 \r\nL 333.44964 205.412216 \r\nL 333.510519 214.756364 \r\nL 333.540958 194.496742 \r\nL 333.601837 214.756364 \r\nL 333.632276 214.756364 \r\nL 333.693155 213.85547 \r\nL 333.723595 203.987547 \r\nL 333.754034 214.756364 \r\nL 333.814913 205.244608 \r\nL 333.845352 206.627374 \r\nL 333.93667 202.458124 \r\nL 333.96711 214.756364 \r\nL 333.997549 214.756364 \r\nL 334.027989 212.493655 \r\nL 334.058428 213.792617 \r\nL 334.088868 198.959306 \r\nL 334.149746 210.964232 \r\nL 334.210625 214.756364 \r\nL 334.241065 213.64596 \r\nL 334.301943 214.756364 \r\nL 334.332383 198.561237 \r\nL 334.393262 214.588756 \r\nL 334.45414 206.229305 \r\nL 334.575898 214.756364 \r\nL 334.697656 209.560515 \r\nL 334.758534 212.242243 \r\nL 334.788974 214.756364 \r\nL 334.819413 212.975528 \r\nL 334.880292 207.193051 \r\nL 334.910732 214.735413 \r\nL 335.00205 211.886076 \r\nL 335.032489 214.546854 \r\nL 335.062929 208.282503 \r\nL 335.093368 214.400197 \r\nL 335.123807 205.28651 \r\nL 335.154247 214.756364 \r\nL 335.184686 214.085931 \r\nL 335.215126 213.478352 \r\nL 335.245565 210.063339 \r\nL 335.306444 214.756364 \r\nL 335.336883 214.756364 \r\nL 335.367323 194.559595 \r\nL 335.428201 212.137488 \r\nL 335.458641 212.200341 \r\nL 335.48908 189.929423 \r\nL 335.549959 213.478352 \r\nL 335.610838 214.756364 \r\nL 335.671717 198.812649 \r\nL 335.702156 214.567805 \r\nL 335.763035 214.756364 \r\nL 335.793474 187.56196 \r\nL 335.854353 205.831236 \r\nL 335.915232 214.148785 \r\nL 335.945671 206.794982 \r\nL 335.976111 194.329134 \r\nL 336.03699 214.756364 \r\nL 336.158747 205.600775 \r\nL 336.189187 208.931984 \r\nL 336.310944 214.735413 \r\nL 336.341384 213.918323 \r\nL 336.371823 207.130198 \r\nL 336.432702 213.771666 \r\nL 336.463141 212.451753 \r\nL 336.493581 214.756364 \r\nL 336.52402 201.620084 \r\nL 336.584899 210.71282 \r\nL 336.706657 214.735413 \r\nL 336.767535 212.346998 \r\nL 336.828414 203.275213 \r\nL 336.858854 214.735413 \r\nL 336.889293 214.756364 \r\nL 336.980611 208.575817 \r\nL 337.071929 214.756364 \r\nL 337.193687 207.318757 \r\nL 337.254566 202.981899 \r\nL 337.376324 214.756364 \r\nL 337.467642 203.589478 \r\nL 337.498081 212.116537 \r\nL 337.528521 214.756364 \r\nL 337.55896 211.006134 \r\nL 337.589399 204.176106 \r\nL 337.619839 214.756364 \r\nL 337.650278 214.756364 \r\nL 337.680718 212.032733 \r\nL 337.741596 214.735413 \r\nL 337.802475 210.566163 \r\nL 337.832915 214.756364 \r\nL 337.863354 211.152791 \r\nL 337.893793 195.355733 \r\nL 337.954672 214.756364 \r\nL 337.985112 214.546854 \r\nL 338.045991 205.537922 \r\nL 338.106869 211.488007 \r\nL 338.167748 214.756364 \r\nL 338.198188 207.402561 \r\nL 338.259066 214.756364 \r\nL 338.350385 214.735413 \r\nL 338.411263 204.804637 \r\nL 338.441703 209.958584 \r\nL 338.472142 214.379246 \r\nL 338.502582 191.94072 \r\nL 338.533021 214.756364 \r\nL 338.5939 193.134927 \r\nL 338.624339 214.756364 \r\nL 338.715657 211.907027 \r\nL 338.776536 214.756364 \r\nL 338.806976 214.002127 \r\nL 338.867855 214.06498 \r\nL 338.928733 203.736135 \r\nL 338.959173 214.756364 \r\nL 339.020052 213.64596 \r\nL 339.050491 205.265559 \r\nL 339.11137 214.756364 \r\nL 339.141809 214.756364 \r\nL 339.233127 203.128556 \r\nL 339.263567 214.756364 \r\nL 339.324446 197.618442 \r\nL 339.354885 207.80063 \r\nL 339.385324 214.756364 \r\nL 339.415764 202.018153 \r\nL 339.446203 208.114895 \r\nL 339.476643 187.666715 \r\nL 339.507082 214.714462 \r\nL 339.537521 209.728123 \r\nL 339.567961 214.484001 \r\nL 339.5984 200.237318 \r\nL 339.659279 214.756364 \r\nL 339.689719 211.865125 \r\nL 339.750597 214.756364 \r\nL 339.781037 213.876421 \r\nL 339.841916 214.756364 \r\nL 339.872355 205.077 \r\nL 339.963673 205.621726 \r\nL 340.054991 214.756364 \r\nL 340.085431 213.939274 \r\nL 340.11587 214.756364 \r\nL 340.14631 211.194693 \r\nL 340.207188 214.756364 \r\nL 340.237628 214.756364 \r\nL 340.298507 213.939274 \r\nL 340.328946 204.427518 \r\nL 340.389825 211.488007 \r\nL 340.420264 211.299448 \r\nL 340.481143 214.756364 \r\nL 340.511583 207.695875 \r\nL 340.572461 209.518613 \r\nL 340.63334 214.756364 \r\nL 340.694219 213.583107 \r\nL 340.724658 201.431525 \r\nL 340.785537 206.983541 \r\nL 340.907295 214.756364 \r\nL 340.937734 204.67893 \r\nL 340.998613 214.525903 \r\nL 341.029052 214.756364 \r\nL 341.059492 203.170458 \r\nL 341.120371 213.247891 \r\nL 341.15081 214.693511 \r\nL 341.242128 214.756364 \r\nL 341.303007 164.599659 \r\nL 341.363886 212.284145 \r\nL 341.424765 202.081006 \r\nL 341.455204 214.756364 \r\nL 341.546522 214.023078 \r\nL 341.576962 214.756364 \r\nL 341.607401 199.126914 \r\nL 341.66828 208.21965 \r\nL 341.790038 214.756364 \r\nL 341.820477 214.442099 \r\nL 341.881356 214.735413 \r\nL 341.911795 182.030895 \r\nL 341.972674 214.421148 \r\nL 342.003113 209.162445 \r\nL 342.063992 212.221292 \r\nL 342.124871 214.756364 \r\nL 342.155311 213.604058 \r\nL 342.18575 209.66527 \r\nL 342.246629 210.754722 \r\nL 342.368386 214.735413 \r\nL 342.398826 213.185038 \r\nL 342.429265 214.756364 \r\nL 342.459705 214.756364 \r\nL 342.490144 182.009944 \r\nL 342.551023 214.756364 \r\nL 342.67278 198.980257 \r\nL 342.794538 214.756364 \r\nL 342.855417 207.947287 \r\nL 342.885856 213.478352 \r\nL 342.916296 214.756364 \r\nL 342.977175 199.126914 \r\nL 343.007614 213.059332 \r\nL 343.038053 213.059332 \r\nL 343.068493 212.263194 \r\nL 343.098932 202.730487 \r\nL 343.129372 214.756364 \r\nL 343.159811 214.756364 \r\nL 343.22069 205.537922 \r\nL 343.251129 214.756364 \r\nL 343.281569 188.148588 \r\nL 343.342447 197.932707 \r\nL 343.433766 214.756364 \r\nL 343.464205 212.409851 \r\nL 343.525084 200.928701 \r\nL 343.555523 210.566163 \r\nL 343.585963 212.430802 \r\nL 343.616402 207.423512 \r\nL 343.646842 214.756364 \r\nL 343.677281 210.356653 \r\nL 343.70772 174.00666 \r\nL 343.768599 214.756364 \r\nL 343.799039 214.756364 \r\nL 343.829478 213.708813 \r\nL 343.890357 175.808446 \r\nL 343.920796 188.567608 \r\nL 343.951236 214.756364 \r\nL 344.042554 207.737777 \r\nL 344.103433 214.756364 \r\nL 344.164311 193.051123 \r\nL 344.286069 214.756364 \r\nL 344.377387 214.756364 \r\nL 344.438266 194.014869 \r\nL 344.468706 214.735413 \r\nL 344.499145 214.379246 \r\nL 344.560024 201.703888 \r\nL 344.620903 205.181755 \r\nL 344.74266 214.756364 \r\nL 344.803539 202.688585 \r\nL 344.833978 207.947287 \r\nL 344.894857 214.756364 \r\nL 344.925297 212.703165 \r\nL 344.955736 202.332418 \r\nL 344.986175 213.038381 \r\nL 345.016615 211.027085 \r\nL 345.047054 214.525903 \r\nL 345.077494 212.640312 \r\nL 345.107933 205.223657 \r\nL 345.168812 211.089938 \r\nL 345.29057 214.756364 \r\nL 345.229691 209.141494 \r\nL 345.321009 214.693511 \r\nL 345.381888 214.756364 \r\nL 345.442767 205.998844 \r\nL 345.564524 213.939274 \r\nL 345.594964 211.299448 \r\nL 345.625403 214.756364 \r\nL 345.686282 212.493655 \r\nL 345.716721 214.756364 \r\nL 345.7776 211.068987 \r\nL 345.808039 211.655615 \r\nL 345.899358 209.853829 \r\nL 345.929797 214.756364 \r\nL 345.990676 212.346998 \r\nL 346.051555 213.331695 \r\nL 346.173312 197.78605 \r\nL 346.29507 214.756364 \r\nL 346.325509 214.756364 \r\nL 346.355949 208.21965 \r\nL 346.416828 209.2672 \r\nL 346.447267 214.756364 \r\nL 346.477706 206.983541 \r\nL 346.508146 198.854551 \r\nL 346.538585 214.756364 \r\nL 346.569025 212.17939 \r\nL 346.599464 212.724116 \r\nL 346.660343 214.735413 \r\nL 346.690782 205.558873 \r\nL 346.751661 213.834519 \r\nL 346.7821 205.49602 \r\nL 346.81254 213.080283 \r\nL 346.903858 214.756364 \r\nL 346.964737 214.735413 \r\nL 347.086495 200.593485 \r\nL 347.116934 204.071351 \r\nL 347.147373 214.085931 \r\nL 347.238692 211.990831 \r\nL 347.269131 214.756364 \r\nL 347.29957 206.941639 \r\nL 347.390889 211.257546 \r\nL 347.451767 214.756364 \r\nL 347.482207 193.218731 \r\nL 347.603964 214.756364 \r\nL 347.634404 211.13184 \r\nL 347.725722 213.101234 \r\nL 347.786601 214.756364 \r\nL 347.84748 202.185761 \r\nL 347.877919 214.756364 \r\nL 347.969237 214.756364 \r\nL 348.090995 212.766018 \r\nL 348.151874 211.194693 \r\nL 348.212753 214.756364 \r\nL 348.243192 213.415499 \r\nL 348.304071 213.85547 \r\nL 348.33451 214.735413 \r\nL 348.36495 203.505674 \r\nL 348.425828 207.570169 \r\nL 348.456268 211.55086 \r\nL 348.486707 210.964232 \r\nL 348.517147 201.473427 \r\nL 348.578026 208.198699 \r\nL 348.608465 214.756364 \r\nL 348.699783 212.849822 \r\nL 348.730223 213.520254 \r\nL 348.821541 214.756364 \r\nL 348.85198 205.412216 \r\nL 348.88242 210.377604 \r\nL 348.912859 113.646816 \r\nL 348.943298 212.409851 \r\nL 348.973738 189.552305 \r\nL 349.004177 212.137488 \r\nL 349.095495 208.973886 \r\nL 349.186814 214.756364 \r\nL 349.217253 135.310155 \r\nL 349.339011 214.756364 \r\nL 349.36945 179.85199 \r\nL 349.430329 214.756364 \r\nL 349.460768 211.404203 \r\nL 349.521647 213.960225 \r\nL 349.582526 214.756364 \r\nL 349.643405 162.274097 \r\nL 349.765162 214.756364 \r\nL 349.826041 214.756364 \r\nL 349.856481 151.086261 \r\nL 349.917359 189.44755 \r\nL 349.978238 173.147669 \r\nL 350.039117 214.756364 \r\nL 350.069557 179.307264 \r\nL 350.130435 212.577459 \r\nL 350.191314 214.756364 \r\nL 350.221754 203.526625 \r\nL 350.313072 208.764376 \r\nL 350.373951 204.972245 \r\nL 350.434829 214.756364 \r\nL 350.465269 187.289597 \r\nL 350.526148 210.147143 \r\nL 350.556587 212.786969 \r\nL 350.587026 197.827952 \r\nL 350.647905 206.836884 \r\nL 350.678345 214.756364 \r\nL 350.739223 214.06498 \r\nL 350.800102 178.343518 \r\nL 350.830542 198.812649 \r\nL 350.92186 214.756364 \r\nL 350.952299 211.110889 \r\nL 350.982739 214.756364 \r\nL 351.013178 199.776395 \r\nL 351.104496 204.448469 \r\nL 351.134936 214.756364 \r\nL 351.165375 207.339708 \r\nL 351.195815 161.771273 \r\nL 351.226254 214.756364 \r\nL 351.287133 173.001012 \r\nL 351.348012 214.756364 \r\nL 351.378451 159.948536 \r\nL 351.40889 152.008105 \r\nL 351.500209 214.756364 \r\nL 351.530648 146.937962 \r\nL 351.621966 186.72392 \r\nL 351.743724 214.756364 \r\nL 351.865482 199.105963 \r\nL 351.9568 214.756364 \r\nL 351.92636 192.694956 \r\nL 351.987239 207.528267 \r\nL 352.048118 214.756364 \r\nL 352.078557 212.472704 \r\nL 352.108997 185.613516 \r\nL 352.169876 214.756364 \r\nL 352.200315 188.064784 \r\nL 352.291633 214.756364 \r\nL 352.322073 212.17939 \r\nL 352.352512 214.756364 \r\nL 352.382951 208.093944 \r\nL 352.413391 174.886602 \r\nL 352.44383 214.756364 \r\nL 352.47427 214.756364 \r\nL 352.565588 214.756364 \r\nL 352.596027 203.170458 \r\nL 352.626467 149.012112 \r\nL 352.656906 208.827229 \r\nL 352.687346 168.78986 \r\nL 352.809103 214.756364 \r\nL 352.839543 214.630658 \r\nL 352.869982 201.913398 \r\nL 352.900421 214.756364 \r\nL 352.930861 204.67893 \r\nL 352.9613 82.86979 \r\nL 352.99174 214.756364 \r\nL 353.022179 214.295442 \r\nL 353.083058 214.756364 \r\nL 353.143937 195.376684 \r\nL 353.174376 213.331695 \r\nL 353.235255 186.430606 \r\nL 353.265694 179.64248 \r\nL 353.387452 214.756364 \r\nL 353.417891 214.756364 \r\nL 353.448331 190.453198 \r\nL 353.50921 208.806278 \r\nL 353.539649 208.533915 \r\nL 353.570088 182.931788 \r\nL 353.630967 214.756364 \r\nL 353.661407 199.483081 \r\nL 353.691846 214.756364 \r\nL 353.783164 214.735413 \r\nL 353.813604 214.756364 \r\nL 353.965801 176.080809 \r\nL 353.99624 214.756364 \r\nL 354.057119 198.498384 \r\nL 354.087558 184.775476 \r\nL 354.117998 214.756364 \r\nL 354.239755 190.976974 \r\nL 354.270195 207.276855 \r\nL 354.331074 214.756364 \r\nL 354.361513 135.729175 \r\nL 354.452831 176.436976 \r\nL 354.51371 214.756364 \r\nL 354.574589 205.768383 \r\nL 354.635468 199.105963 \r\nL 354.696346 214.756364 \r\nL 354.726786 214.756364 \r\nL 354.787665 150.792947 \r\nL 354.818104 214.756364 \r\nL 354.848543 214.211638 \r\nL 355.000741 151.002457 \r\nL 354.909422 214.756364 \r\nL 355.03118 173.566689 \r\nL 355.122498 214.735413 \r\nL 355.152938 212.745067 \r\nL 355.183377 214.756364 \r\nL 355.244256 97.493592 \r\nL 355.335574 100.615291 \r\nL 355.366013 214.756364 \r\nL 355.457332 184.44026 \r\nL 355.51821 214.756364 \r\nL 355.54865 212.80792 \r\nL 355.579089 175.850348 \r\nL 355.639968 212.745067 \r\nL 355.670407 202.437173 \r\nL 355.731286 214.316393 \r\nL 355.792165 214.756364 \r\nL 355.822605 207.80063 \r\nL 355.853044 167.972771 \r\nL 355.883483 214.756364 \r\nL 355.913923 176.981703 \r\nL 355.944362 214.756364 \r\nL 356.005241 210.251898 \r\nL 356.03568 164.075884 \r\nL 356.096559 214.693511 \r\nL 356.126999 214.756364 \r\nL 356.157438 208.701523 \r\nL 356.187877 148.36263 \r\nL 356.218317 214.756364 \r\nL 356.248756 206.920688 \r\nL 356.370514 214.756364 \r\nL 356.400953 196.026166 \r\nL 356.461832 213.562156 \r\nL 356.58359 214.756364 \r\nL 356.614029 197.429883 \r\nL 356.674908 214.756364 \r\nL 356.766226 207.214002 \r\nL 356.796666 212.996479 \r\nL 356.857544 214.756364 \r\nL 356.887984 212.074635 \r\nL 356.918423 214.567805 \r\nL 356.979302 214.756364 \r\nL 357.040181 172.686747 \r\nL 357.10106 214.756364 \r\nL 357.161938 211.55086 \r\nL 357.222817 214.756364 \r\nL 357.253257 142.747761 \r\nL 357.314136 195.209076 \r\nL 357.344575 214.756364 \r\nL 357.405454 214.127834 \r\nL 357.466333 171.345882 \r\nL 357.496772 203.00285 \r\nL 357.527211 210.356653 \r\nL 357.557651 184.482162 \r\nL 357.58809 214.756364 \r\nL 357.61853 198.20507 \r\nL 357.648969 214.756364 \r\nL 357.679408 127.306871 \r\nL 357.740287 214.756364 \r\nL 357.770727 214.735413 \r\nL 357.801166 196.31948 \r\nL 357.892484 206.564521 \r\nL 357.922924 214.756364 \r\nL 357.953363 214.609707 \r\nL 358.044681 150.43678 \r\nL 358.075121 186.807724 \r\nL 358.136 207.989189 \r\nL 358.166439 191.416945 \r\nL 358.196878 58.67138 \r\nL 358.257757 212.933626 \r\nL 358.288197 214.714462 \r\nL 358.318636 210.775673 \r\nL 358.349075 209.309102 \r\nL 358.409954 189.091383 \r\nL 358.440394 204.804637 \r\nL 358.470833 214.756364 \r\nL 358.501272 212.451753 \r\nL 358.562151 214.756364 \r\nL 358.62303 125.00226 \r\nL 358.744788 214.756364 \r\nL 358.775227 168.517497 \r\nL 358.836106 211.634664 \r\nL 358.896985 209.979535 \r\nL 358.927424 214.756364 \r\nL 358.988303 182.093748 \r\nL 359.018742 202.751438 \r\nL 359.049182 214.756364 \r\nL 359.1405 211.948929 \r\nL 359.170939 157.790582 \r\nL 359.231818 204.280861 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n </g>\r\n <g id=\"patch_3\">\r\n <path d=\"M 39.65 224.64 \r\nL 39.65 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_4\">\r\n <path d=\"M 374.45 224.64 \r\nL 374.45 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_5\">\r\n <path d=\"M 39.65 224.64 \r\nL 374.45 224.64 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n <g id=\"patch_6\">\r\n <path d=\"M 39.65 7.2 \r\nL 374.45 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n </g>\r\n </g>\r\n </g>\r\n <defs>\r\n <clipPath id=\"p46c120979b\">\r\n <rect height=\"217.44\" width=\"334.8\" x=\"39.65\" y=\"7.2\"/>\r\n </clipPath>\r\n </defs>\r\n</svg>\r\n",
|
|
"image/png": "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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(lpath)"
|
|
]
|
|
},
|
|
{
|
|
"source": [
|
|
"What we see here is that at first the average path length increased. This is probably due to the fact that when we know nothing about the environment - we are likely to get trapped into bad states, water or wolf. As we learn more and start using this knowledge, we can explore the environment for longer, but we still do not know well where apples are.\n",
|
|
"\n",
|
|
"Once we learn enough, it becomes easier for the agent to achieve the goal, and the path length starts to decrease. However, we are still open to exploration, so we often diverge away from the best path, and explore new options, making the path longer than optimal.\n",
|
|
"\n",
|
|
"What we also observe on this graph, is that at some point the length increased abruptly. This indicates stochastic nature of the process, and that we can at some point \"sploil\" the Q-Table coefficients, by overwriting them with new values. This ideally should be minimized by decreasing learning rate (i.e. towards the end of training we only adjust Q-Table values by a small value).\n",
|
|
"\n",
|
|
"Overall, it is important to remember that the success and quality of the learning process significantly depends on parameters, such as leaning rate, learning rate decay and discount factor. Those are often called **hyperparameters**, to distinguish them from **parameters** which we optimize during training (eg. Q-Table coefficients). The process of finding best hyperparameter values is called **hyperparameter optimization**, and it deserves a separate topic."
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"source": [
|
|
"## Exercise\n",
|
|
"#### More Realistic Peter and the Wolf World\n",
|
|
"\n",
|
|
"In our situation, Peter was able to move around almost without getting tired or hungry. In more realistic world, we has to sit down and rest from time to time, and also to feed himself. Let's make our world more realistic, by implementing the following rules:\n",
|
|
"\n",
|
|
"1. By moving from one place to another, Peter loses **energy** and gains some **fatigue**.\n",
|
|
"2. Peter can gain more energy by eating apples.\n",
|
|
"3. Peter can get rid of fatigue by resting under the tree or on the grass (i.e. walking into a board location with a tree or grass - green field)\n",
|
|
"4. Peter needs to find and kill the wolf\n",
|
|
"5. In order to kill the wolf, Peter needs to have certain levels of energy and fatigue, otherwise he loses the battle.\n",
|
|
"\n",
|
|
"Modify the reward function above according to the rules of the game, run the reinforcement learning algorithm to learn the best strategy for winning the game, and compare the results of random walk with your algorithm in terms of number of games won and lost.\n",
|
|
"\n",
|
|
"\n",
|
|
"> **Note**: You may need to adjust hyperparameters to make it work, especially the number of epochs. Because the success of the game (fighting the wolf) is a rare event, you can expect much longer training time.\n",
|
|
"\n"
|
|
],
|
|
"cell_type": "markdown",
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
]
|
|
} |