maze_escape.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Come On Down And Escape The Maze**\n",
    "## [Riddler Express, Feb 15, 2019](https://fivethirtyeight.com/features/come-on-down-and-escape-the-maze/)\n",
    "\n",
    "### solution by [Laurent Lessard](https://laurentlessard.com)\n",
    "\n",
    "Here is what the maze looks like:\n",
    "\n",
    "![maze](https://fivethirtyeight.com/wp-content/uploads/2019/02/reigle.png?w=400)\n",
    "\n",
    "and here is my solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <td>🕱</td>\n",
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       "      <th>1</th>\n",
       "      <td>→</td>\n",
       "      <td>↔</td>\n",
       "      <td>↓</td>\n",
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       "      <td>↓</td>\n",
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       "      <th>2</th>\n",
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       "      <td>↔</td>\n",
       "      <td>←</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>2</td>\n",
       "      <td>↕</td>\n",
       "      <td>🕱</td>\n",
       "      <td>→</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>←</td>\n",
       "      <td>↔</td>\n",
       "      <td>→</td>\n",
       "      <td>0</td>\n",
       "      <td>↕</td>\n",
       "      <td>3</td>\n",
       "      <td>↕</td>\n",
       "      <td>3</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>←</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>↔</td>\n",
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       "      <td>↔</td>\n",
       "      <td>↓</td>\n",
       "      <td>🕱</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>🕱</td>\n",
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       "      <td>←</td>\n",
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       "      <td>3</td>\n",
       "      <td>←</td>\n",
       "      <td>←</td>\n",
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       "      <th>5</th>\n",
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       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
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       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
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       "      <td>3</td>\n",
       "      <td>↔</td>\n",
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       "      <td>↔</td>\n",
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       "      <td>→</td>\n",
       "      <td>↔</td>\n",
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       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>↕</td>\n",
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       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
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       "      <td>↔</td>\n",
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       "      <td>2</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
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       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
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       "      <th>7</th>\n",
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       "      <td>↔</td>\n",
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       "      <td>↓</td>\n",
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       "      <th>8</th>\n",
       "      <td>→</td>\n",
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       "      <td>↑</td>\n",
       "      <td>→</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>→</td>\n",
       "      <td>↕</td>\n",
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       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>↕</td>\n",
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       "      <td>←</td>\n",
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       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↓</td>\n",
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       "      <th>9</th>\n",
       "      <td>↕</td>\n",
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       "      <td>→</td>\n",
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       "      <td>↕</td>\n",
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       "      <th>10</th>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>2</td>\n",
       "      <td>↕</td>\n",
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       "      <td>↓</td>\n",
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       "      <td>☆</td>\n",
       "      <td>2</td>\n",
       "      <td>↔</td>\n",
       "      <td>3</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↑</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
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       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>↔</td>\n",
       "      <td>↓</td>\n",
       "      <td>🕱</td>\n",
       "      <td>↔</td>\n",
       "      <td>3</td>\n",
       "      <td>←</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>←</td>\n",
       "      <td>2</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↑</td>\n",
       "      <td>↕</td>\n",
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       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>↕</td>\n",
       "      <td>🕱</td>\n",
       "      <td>↑</td>\n",
       "      <td>←</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↑</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>←</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>↔</td>\n",
       "      <td>3</td>\n",
       "      <td>←</td>\n",
       "      <td>↓</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2</td>\n",
       "      <td>🕱</td>\n",
       "      <td>→</td>\n",
       "      <td>↓</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>🕱</td>\n",
       "      <td>1</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>0</td>\n",
       "      <td>↕</td>\n",
       "      <td>→</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>🕱</td>\n",
       "      <td>↕</td>\n",
       "      <td>2</td>\n",
       "      <td>→</td>\n",
       "      <td>→</td>\n",
       "      <td>↓</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>↑</td>\n",
       "      <td>↕</td>\n",
       "      <td>0</td>\n",
       "      <td>↔</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>←</td>\n",
       "      <td>↔</td>\n",
       "      <td>🕱</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>←</td>\n",
       "      <td>↓</td>\n",
       "      <td>↓</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↓</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>↑</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>↔</td>\n",
       "      <td>↓</td>\n",
       "      <td>3</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>2</td>\n",
       "      <td>↓</td>\n",
       "      <td>↔</td>\n",
       "      <td>↑</td>\n",
       "      <td>↔</td>\n",
       "      <td>←</td>\n",
       "      <td>0</td>\n",
       "      <td>🕱</td>\n",
       "      <td>2</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>🕱</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↓</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>↔</td>\n",
       "      <td>↑</td>\n",
       "      <td>→</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>↔</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>3</td>\n",
       "      <td>↕</td>\n",
       "      <td>↔</td>\n",
       "      <td>3</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>↑</td>\n",
       "      <td>↑</td>\n",
       "      <td>↔</td>\n",
       "      <td>2</td>\n",
       "      <td>→</td>\n",
       "      <td>↔</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>←</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>↔</td>\n",
       "      <td>3</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>↕</td>\n",
       "      <td>→</td>\n",
       "      <td>↔</td>\n",
       "      <td>←</td>\n",
       "      <td>↔</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>↔</td>\n",
       "      <td>2</td>\n",
       "      <td>↔</td>\n",
       "      <td>↓</td>\n",
       "      <td>↕</td>\n",
       "      <td>↑</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   0  1  2  3  4  5  6  7  8  9  10 11 12 13 14 15 16 17 18 19\n",
       "0   ↕  ↑  2  0  →  →  →  🕱  ↕  3  ↔  1  ↔  0  0  🕱  ↑  ↕  3  ↕\n",
       "1   →  ↔  ↓  ↑  →  ←  2  ↕  🕱  0  1  ↕  2  ↑  1  3  ↕  ↓  →  ↕\n",
       "2   ↔  ↕  2  ↕  ↔  3  ←  ↓  ↕  ↕  ←  ↓  ↔  ←  ↕  ↕  2  ↕  🕱  →\n",
       "3   ↕  ↔  ↔  ↔  ↔  ←  ↔  →  0  ↕  3  ↕  3  ↕  ↔  1  ↔  ↔  ←  1\n",
       "4   ↔  ↑  ↔  ↓  🕱  ↕  ↔  ↔  1  🕱  ↕  0  ←  0  →  1  3  ←  ←  ↔\n",
       "5   1  ↕  ↕  ↔  ↕  1  ↕  ↔  ↔  ↕  3  ↔  ↓  ↔  ←  ↔  ↕  →  ↔  ↔\n",
       "6   ↕  ↓  ↕  ↔  ↕  🕱  ↕  ↔  ↔  1  ↕  2  ↔  ↔  ↕  ↕  ↔  ↔  →  1\n",
       "7   3  2  ↔  ↔  ↔  ↕  ↔  3  →  ↕  3  ↕  3  ↑  ↑  ↔  ↕  ↕  ↓  ↑\n",
       "8   →  0  ↑  →  1  2  →  ↕  ↔  ↕  3  3  ↕  0  ←  🕱  ↔  ↔  ↕  ↓\n",
       "9   ↕  ↔  ↓  →  ←  2  ↕  ↓  ↔  0  ↕  1  ↔  ↕  ↑  ←  ↔  0  ↕  ↕\n",
       "10  ↕  ↔  2  ↕  1  ↓  ↕  ↑  ↑  0  ☆  2  ↔  3  ↕  ↕  ↔  ↑  ↔  ↔\n",
       "11  ↔  ↓  🕱  ↔  3  ←  ↕  ↕  ↕  ↔  ↕  ←  2  ↕  ↔  ↕  ↔  ↕  ↑  ↕\n",
       "12  ↕  🕱  ↑  ←  ↔  ↕  ↕  ↑  ↕  ↕  ←  ↔  1  0  ↔  3  ←  ↓  ↔  ↕\n",
       "13  2  🕱  →  ↓  ↕  ↕  ↕  ↕  🕱  1  ↕  ↕  ↔  0  ↕  →  0  3  ↔  ↔\n",
       "14  🕱  ↕  2  →  →  ↓  ↔  1  ↑  ↕  0  ↔  3  1  ←  ↔  🕱  ↔  ↔  ↕\n",
       "15  ←  ↓  ↓  ↔  1  ↔  ↕  ↕  ↓  ↔  ↔  ↕  ↕  1  0  ↑  ↕  ↕  ↕  0\n",
       "16  ↔  ↓  3  ↔  ↕  ↔  2  ↓  ↔  ↑  ↔  ←  0  🕱  2  ↔  1  ↔  ↔  ↕\n",
       "17  🕱  0  2  ↔  ↔  ↕  ↕  ↓  2  0  0  2  ↔  ↑  →  ↔  ↔  ↔  ↕  ↕\n",
       "18  ↔  ↔  1  ↔  ↕  ↕  3  ↕  ↔  3  ↕  ↕  2  0  ↑  ↑  ↔  2  →  ↔\n",
       "19  ←  ↔  ↔  ↔  3  ↕  ↕  ↕  →  ↔  ←  ↔  1  2  ↔  2  ↔  ↓  ↕  ↑"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import colors\n",
    "\n",
    "# Encode the grid using my own symbols\n",
    "raw = '''\\\n",
    "|U20RRRX|3-1-00XU|3|,\\\n",
    "R-DURL2|X01|2U13|DR|,\\\n",
    "-|2|-3LD||LD-L||2|XR,\\\n",
    "|----L-R0|3|3|-1--L1,\\\n",
    "-U-DX|--1X|0L0R13LL-,\\\n",
    "1||-|1|--|3-D-L-|R--,\\\n",
    "|D|-|X|--1|2--||--R1,\\\n",
    "32---|-3R|3|3UU-||DU,\\\n",
    "R0UR12R|-|33|0LX--|D,\\\n",
    "|-DRL2|D-0|1-|UL-0||,\\\n",
    "|-2|1D|UU0S2-3||-U--,\\\n",
    "-DX-3L|||-|L2|-|-|U|,\\\n",
    "|XUL-||U||L-10-3LD-|,\\\n",
    "2XRD||||X1||-0|R03--,\\\n",
    "X|2RRD-1U|0-31L-X--|,\\\n",
    "LDD-1-||D--||10U|||0,\\\n",
    "-D3-|-2D-U-L0X2-1--|,\\\n",
    "X02--||D2002-UR---||,\\\n",
    "--1-||3|-3||20UU-2R-,\\\n",
    "L---3|||R-L-12-2-D|U\\\n",
    "'''\n",
    "\n",
    "# convert my symbols to more intuitive ones\n",
    "old_chars = ['U','D','|','-','L','R','S','X']\n",
    "new_chars = ['↑','↓','↕','↔','←','→','☆','🕱']\n",
    "for old,new in zip(old_chars,new_chars):\n",
    "    raw = raw.replace(old,new)\n",
    "\n",
    "# pad grid with skulls and format the grid into an array for easy access\n",
    "G = np.array( [ list(s) for s in raw.split(sep=',') ] )\n",
    "\n",
    "# pretty-print the grid!\n",
    "Nx,Ny = G.shape\n",
    "pd.DataFrame(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we'll call a STATE a tuple (x,y) corresponding to:\n",
    "# x: the first coordinate (row number) on the grid\n",
    "# y: the second coordinate (column number) on the grid\n",
    "\n",
    "# return True if state is out-of-bounds (outside the allowed grid)\n",
    "def out_of_bounds( state ):\n",
    "    x,y = state\n",
    "    if x < 0 or x >= Nx or y < 0 or y >= Ny:\n",
    "        return True\n",
    "    else:\n",
    "        return False\n",
    "\n",
    "# given that we are in a certain state, what is the corresponding letter on the grid?\n",
    "def get_symbol( state ):\n",
    "    return G[state[0],state[1]]\n",
    "\n",
    "# how much cost is associated with the current state?\n",
    "def cost( state ):\n",
    "    s = get_symbol( state )\n",
    "    if s in ['→','↑','←','↓','↔','↕','☆','🕱']:\n",
    "        return 0\n",
    "    else:\n",
    "        return int(s)    \n",
    "\n",
    "# given we are in a certain state, return the states we can move to\n",
    "def next_states( state ):\n",
    "    x,y = state\n",
    "    right, up, left, down = (x,y+1), (x-1,y), (x,y-1), (x+1,y)\n",
    "    mapping = {\n",
    "        '→': [right],\n",
    "        '↑': [up],\n",
    "        '←': [left],\n",
    "        '↓': [down],\n",
    "        '↔': [right,left],\n",
    "        '↕': [up,down],\n",
    "        '🕱': []\n",
    "    }\n",
    "    # if it's not one of the symbols above, it must be a number (all moves allowed)\n",
    "    return mapping.get(get_symbol(state), [right,up,left,down])\n",
    "\n",
    "def print_soln(dist_dict, title=None, fname=None, solnspec=None):\n",
    "    H = np.zeros((Nx,Ny))\n",
    "    for (state,val) in dist_dict.items():\n",
    "        H[state[0],state[1]] = val\n",
    "        \n",
    "    # unnecessarily complicated plotting routine...\n",
    "    MAXD = 8 # maximum distance needed\n",
    "    fig,ax = plt.subplots(figsize=(8,6))\n",
    "    cmap = plt.cm.viridis\n",
    "    bounds=np.arange(-0.5,MAXD+1.5,1)\n",
    "    norm = colors.BoundaryNorm(bounds, cmap.N)\n",
    "    img = plt.imshow(H, vmin=0, vmax=MAXD, cmap=cmap, norm=norm, interpolation='none')\n",
    "    plt.colorbar(img, ticks=np.arange(MAXD+1))\n",
    "    plt.xticks(np.arange(0.5,Nx-0.5,step=1.0))\n",
    "    plt.yticks(np.arange(0.5,Ny-0.5,step=1.0))\n",
    "    ax.set_xticklabels([])\n",
    "    ax.set_yticklabels([])\n",
    "    plt.grid()\n",
    "    for tic in ax.xaxis.get_major_ticks():\n",
    "        tic.tick1On = tic.tick2On = False\n",
    "    for tic in ax.yaxis.get_major_ticks():\n",
    "        tic.tick1On = tic.tick2On = False\n",
    "    plt.text(terminal_state[0],terminal_state[1],'★',\n",
    "             horizontalalignment='center',verticalalignment='center',fontsize=18,color='white')\n",
    "    if title != None:\n",
    "        plt.title(title)\n",
    "        \n",
    "    # plot trajectory, specified by (start state, time)\n",
    "    if solnspec != None:\n",
    "        MAXT = 15  # max length of trajectory to plot (so we don't overwrite lines at the end)\n",
    "        state,t = solnspec\n",
    "        tfin = timesteps[-1]\n",
    "        movelist = soln[tfin][state]\n",
    "        xvals = [movelist[-i][1] for i in range(1,min(t+2,MAXT))]\n",
    "        yvals = [movelist[-i][0] for i in range(1,min(t+2,MAXT))]\n",
    "        plt.plot( xvals, yvals, 'r:.')\n",
    "        \n",
    "    if fname != None:\n",
    "        plt.savefig(fname, dpi=200)\n",
    "    \n",
    "# list of all states and the terminal state\n",
    "states = [ (i,j) for i in range(Nx) for j in range(Ny) ]\n",
    "terminal_state = (10,10)\n",
    "\n",
    "# initialize costs\n",
    "def cost_mat():\n",
    "    costs = dict()\n",
    "    for state in states:\n",
    "        costs[state] = np.inf\n",
    "    costs[terminal_state] = 0\n",
    "    return costs\n",
    "\n",
    "# initialize solutions (all must end at terminal state)\n",
    "def soln_mat():\n",
    "    solns = dict()\n",
    "    for state in states:\n",
    "        solns[state] = [terminal_state]\n",
    "    return solns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution using Bellman-Ford algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
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       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
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       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>6</td>\n",
       "      <td>∞</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>∞</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
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       "      <td>∞</td>\n",
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       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
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       "      <th>4</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>∞</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>∞</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
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       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>∞</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>∞</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>∞</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>∞</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "      <td>∞</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   0  1  2  3  4  5  6  7  8  9  10 11 12 13 14 15 16 17 18 19\n",
       "0   ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  7  4  4  3  3  3  ∞  ∞  3  6  ∞\n",
       "1   ∞  ∞  ∞  ∞  ∞  ∞  4  2  ∞  5  5  4  5  3  3  6  5  3  ∞  ∞\n",
       "2   ∞  ∞  ∞  ∞  ∞  ∞  ∞  2  2  5  5  4  4  4  2  3  5  3  ∞  ∞\n",
       "3   ∞  ∞  ∞  ∞  ∞  ∞  2  2  2  5  7  4  5  2  2  3  3  3  3  4\n",
       "4   ∞  ∞  5  5  ∞  3  2  2  2  ∞  4  4  4  2  2  2  4  4  4  4\n",
       "5   8  7  5  5  5  3  2  1  1  1  4  4  5  5  5  1  1  ∞  ∞  ∞\n",
       "6   8  7  5  5  5  ∞  2  1  1  1  3  5  5  5  5  1  1  1  ∞  ∞\n",
       "7   8  7  5  5  5  5  3  3  0  0  3  4  4  5  5  1  1  1  1  ∞\n",
       "8   5  5  5  6  6  5  3  3  0  0  3  4  1  1  1  ∞  1  1  1  1\n",
       "9   5  5  7  ∞  ∞  5  3  ∞  0  0  0  1  1  1  1  1  1  1  1  1\n",
       "10  5  5  7  ∞  ∞  ∞  3  ∞  0  0  0  2  2  3  0  1  1  1  1  1\n",
       "11  ∞  ∞  ∞  ∞  ∞  ∞  3  ∞  0  0  0  0  2  0  0  1  1  1  1  1\n",
       "12  ∞  ∞  ∞  ∞  ∞  ∞  3  ∞  0  0  0  0  1  0  0  3  3  6  1  1\n",
       "13  ∞  ∞  ∞  ∞  ∞  ∞  3  ∞  ∞  1  0  0  0  0  0  3  3  6  6  6\n",
       "14  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  0  0  0  3  1  1  1  ∞  4  4  4\n",
       "15  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  0  0  0  0  0  1  1  1  4  4  4  4\n",
       "16  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  0  0  0  0  0  ∞  3  3  4  4  4  4\n",
       "17  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  2  0  0  2  2  ∞  4  4  4  4  4  4\n",
       "18  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  3  3  0  2  4  4  4  4  4  6  ∞  ∞\n",
       "19  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  ∞  5  5  6  6  6  6  ∞  ∞  ∞"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# number of time steps to simulate\n",
    "# a hard upper bound is 400, the total number of states\n",
    "timesteps = range(36)\n",
    "\n",
    "# initialize list of distance dictionaries. dist[t] is a dict with (state,cost-to-go) items\n",
    "dist = [ cost_mat() for t in timesteps ]\n",
    "\n",
    "# intialize list of solution dictionaries. soln[t] is a dict with (state,list) of moves to perform from that state\n",
    "soln = [ soln_mat() for t in timesteps ]\n",
    "\n",
    "# all the magic happens right here: Bellman-Ford algorithm!\n",
    "for t in timesteps[1:]:    \n",
    "    for state in states:\n",
    "        if state == terminal_state:\n",
    "            continue\n",
    "\n",
    "        possible_next_states = [next_state for next_state in next_states(state) if not out_of_bounds(next_state)]\n",
    "        possible_costs = [cost(state) + dist[t-1][next_state] for next_state in possible_next_states]\n",
    "        \n",
    "        # pick a move that minimizes total cost\n",
    "        dist[t][state] = min( possible_costs, default=np.inf )\n",
    "        \n",
    "        # if this was a legitimate move, add it to the move list\n",
    "        if dist[t][state] != np.inf:\n",
    "            ix = np.argmin( possible_costs )\n",
    "            next_state = possible_next_states[ix]\n",
    "            soln[t][state] = list(soln[t-1][next_state])\n",
    "            soln[t][state].insert(0, state)\n",
    "        \n",
    "# visualize the optimal costs from all states in a numerical grid\n",
    "sol = np.zeros((Nx,Ny),dtype=str)\n",
    "for (state,val) in dist[-1].items():\n",
    "    if val == np.inf:\n",
    "        sol[state[0],state[1]] = '∞'\n",
    "    else:\n",
    "        sol[state[0],state[1]] = val\n",
    "    \n",
    "pd.DataFrame(sol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.6/site-packages/matplotlib/pyplot.py:537: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
      "  max_open_warning, RuntimeWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RZO+e4t/LAuCpN6cyr7aPdz6nKTvS9gFmnDc3Ur5qyfTIc0gFUXpqTMkqYmDE7UfppwHqqdEV6ofRzfKQGv0souaL+631zgNsrRuEy4/WR2HN7mj9MHILqrzzAA11g9OiH8ZG/G8TP5B8ciL0NbH64kiPg5YxovTU2F/9MA4+spf7yZOHe+cvOmSJ+mEku5dEsvOQGv0souY/f5p/DwWIHWE0Hnyvdz5n+WXc8VGdd35qaRmDI2wfYMOS6WnRD2Nms/8YU7JGMTDi7zHK46BljKg9NTKFrmGIiGQgMzvMzN6I+9huZtd2lNE1DBGRDOScex/4BICZZQNrgfkdZXSEISIiZwLLnXOrOlpJBUNERL4IPNLZSioYIiLpqdjMFsV9XN7WSmaWB5wP/L6zAXUNQ0QkPVWHfFntucAS51ynr2/WEYaISGb7EiFOR4EKhohIxjKzAuDTwBNh1tcpKRGRDOWcqwOKwq6vIwwREQlFBUNEREJRwRARkVBUMEREJJSMu+j9ztb1XPHEv3vn7x5wRuQ5HDn155HyVx9RGnkOyZY1+J+R8pULHuWOpy/2zk8tHQD4360WYHqE7cfmECkOwKknv+udLawu5vhi/7sOAxRUl/Pucf69TRYsvYZxhdv989lNkfItYzRXHeqdP+6o/GgNObqRjOuHsWnrlkj37x+R0zvyPqzeGu0P1cAeuUnvZxG5H0Zxf+88wMaamqT3koiST9Qcdub5/7Hs01jI9pxa73zLGEW91nvna3cNojBCP4yo+USMMe26aSx6c7dFmkQb1A8jBXpJ3PXkI5Hu33934RmR92H2C9GeXV99RGnS+1lEzU+ePN47DzDzsUeT3ksiSj5Rc3i1dIF3/szqcTxf7J9vGeNzY/17myxYeg3jkphP1BiZQtcwREQkFBUMEREJRQVDRERCUcEQEZFQVDBERCQUFQwREQkl4964JyLSHWxtLOAP1cdEGGFJwubSQkcYIiISigqGiIiEooIhIiKhqGCIiEgoKhgiIhKKCoaIiISigiEiIqF0u/dhHB6h+RHAlKxRkfJRGzBF3X4iZNU3UfjBVv/8WUMj588Z+wPvPMDEHx4VKZ8I+cOj9ZLIymqONEZWVjOL1g73zp+clRcp3zLGmIWXeOenZBUxPkozrfcqIjfjijrG4rdscbQJdB/droHSqsYd3nmAgeRHaqCUiPym2kbvPCSggVKfXGo27fbO9y/pkdQ8QN8hPZPeQGmTRduHVHgsRsknag4l/QZ45xPRVC3qGBMmTEh4oyKAotEl7jMPXuCdn3PSfWqgNHNLtGI+JWtUpAZKicjfvaTKOw/RGyh99ayhzJv1jnd+0lVHJDUPsSOMZDdQuivH/3EAqfFYjJJP1BwuTHJTtUSMkSl0DUNEREJRwRARkVBUMEREJBQVDBGRDGVm/czscTN7z8yWmdnJHa3f7V5WKyIiCfML4Fnn3GQzywMKOlpZBUNEJAOZWR9gHPA1AOfcHqDD15rrlJSISGY6CNgEPGBmr5vZvWbWq6OACoaISHoqNrNFcR+Xt1qeAxwLzHbOHQPsBG7oaECdkhIRSU/VnbzTuxKodM69Gnz9OJ0UDB1hiIhkIOdcFbDGzA4LvnUm8G5HGR1hiIhkrinAw8ErpD4Cvt7RyioYIiIZyjn3BhD6BoU6JSUiIqEc0COMmvpl/P7D67zzOfWXJXA2yfP2Hd+LlP/VfY8maCbdV/Yeo3C1//Od7GKL3IuCZu+4xInS42ZK1ijGJ24q0okD2g9j6/ZNuPxq77zVF7O2OWIviRToQRDl/v8A1dU1Gd8Po9/gnmyqa/DOlxTksjHLfw6p0ksiHfphJPv/k/phhHdA+2HMf242jQff653PWX4ZM3du9M5D8nsIRL3/P8SOMDK9H8b5NxzN7CVrvfNXHjuUmQXdv5dEOvTDSPb/J/XDCE/XMEREJBQVDBERCUUFQ0REQlHBEBGRUFQwREQkFBUMEREJRQVDRERCUcEQEZFQVDBERCQU3a1WRCQF7WzI4x9rhyd7GvvQEYaIiISigiEiIqGoYIiISChdu4bRsJTmqkMjbG5qhGz6iHL/f4Dv5o9mW7n/5aeGPjmsPbs4Ur7p3Qh3Od11cLQ8AEdHzEP9av9bWjeXZlG/zj8PQHm0eLo4fqj/nZcLqss5Z+wPIm1/0lVHoJvVhtOlfhiHH1bm7r7rBu+Nba0bpH4YiehB0Nwjci+IqPmtK2q88/3L+lJTuc07D9BvZP/I+1DV6N9TZFBuHhsa/PMAg/Nyu/9jMQFzqM3d4Z3v01jIlrXR9qF/SQ+KS/x7auyvfhg9Dhnqymd82zv//qSbk9sPo7BHNePG/sJ7Y0+9OVX9MBLQg+C7daMj94KImp9//Z+98xfdfi6PRcgDfO63F0behzuqK73zU0vLuGOdfx5gWnlpt38sJmIOLxcv8M6fWT2OebOi7cOkq45g8oXjI42RKXQNQ0REQlHBEBGRUFQwREQkFBUMEREJRQVDRERCUcEQEZFQVDBERCQU3a1WRCRDmdlKYAfQBDR29kY/FQwRkcw2wTkX6hYcOiUlIiKhqGCIiGQuB/zFzBab2eWdraxTUiIi6anYzBbFfX2Pc+6eVuuc6pxbZ2YDgb+a2XvOuXZv7qWCISKSnqo7u4jtnFsX/LvRzOYDJwDtFgydkhIRyUBm1svMerd8DpwNLO0o07UjjNyxZA1e1Pl67Vj3yiPMfOt87/yUrH5AtNubF+Tu4fjiaA1bouYjtiCQFHHYvVsi5fOuGkL5LP+eGnlXucj596662TsPUFFRwXvjvxQp/8dvDvbON16V652NF6UJU58eg49LyCQOvEHAfDODWC2Y65x7tqNAlxoojR492s2ePdt7dpu2bkl6w5fBlsf2nFrvfJ/Gwsj5Khet8Y4aKKVGA6Vt63d55yHWuKdm0+6k5qM0DgKora2lsNC/82BtbS3rV2/3zkf9GSRijGnXXce2Xest0iTa0O0bKPXq1YvxEXoZ3vXkI0lv+PL9/HKej9iwJWp+Zv1K7zyogRKkRgOlZ2a9452HWOOeeRHGSEQ+auOgioqKSH8TKioqmDfrZe981J9BosbIFLqGISIioahgiIhIKCoYIiISigqGiIiEooIhsh+MrqvkC5sWMrrO78J6svMibdE7vUUSbHRdJTNWzCELR4NlM7fkVI6vXcEtwydTl92Dcdve5bwtS1i05xYAPrV1KefUvMGN5V+iybL5yoYX+WL1QhzQYNk8NeB4Ru2u4sbyiwE4b8tiTtzxT97gVgAu2Pwax+xcxS3DLwTgynXPcV7NEgjyN5ZfzLKCsgP+c5D0oyMMkQQ7audqcmgmG0eOa6K8PtSdo/caVr8Zw+3Nl+3p2hsEhzTUkBWXP2qn/xtNReLpCEMkwd7qNZxGyybLNdFo2fxxwHH7PMNf0HcMC/qOYVJePgAv9BvLC/3G7l3+RPEJfLL2Q3KC/OPFJ+2Tf3rAcTw94DgmBV8/VXQCTxWdsHf5IyWnxYpWkH+r1/D9u8OSMVQwRBJsWUEZ08u/zFE7V/NWr+FdPh20rKCMG8svjpT/a78jGbJnKw8PPF2noyRhVDBE9oOq3H5U9etHTa7fbTOWFZRF+kPfu2k3tdk9VCwkoVQwRPaDGyufBGD6yEuSsv2fDPtcUrYr6U0FQ2Q/eLT45GRPQSThVDBE9oPFvQ9O6vYv3vgSAHMHnpbUeUh6OaAF44h+QyLfOz9KvmWMOSfel9Q8Ee9WG9WYsoG8fclF3vmKigrmJ3A+PnI31DL4zoX++dvP5bAH/PtZ9LhqSIfLixtit+yuzu3jvY0oyvZsDrVelD4QELvT60+u9h9j0lVHRNp+OnN7stizxv/W8fvDAe2HkYh750fJp8IcamtrWdW4wzsP0fthDO9XEL2Hwfv+jawS0Q8j6hj9y/pSs9m/t0pnPRQm3nkbAM9ce5P3GFHnsL/zqTCHVNiH/dUPI3/4MDf0uu9551dce1337oeRiHvnR8mnwhwqKiqYuWWxdx6i98OYef4xkffhset/451PRD+MqGNcdPu5zHtguXe+sx4KH+35BACvd7BOKvTDSHYviWTnEzVGptA1DJH94PXCkUnd/qUbXwTgoYFnJHUekl5UMET2g8F7Yi1sq/L6J2X7JQ3RTnuKtEUFQ2Q/mLr2GSB578O4Y+h5SdmupDcVDJH94KGBpyd7CiIJp7vVStoZ7TbzRfceo124l5Z+LJ+AXhKNls2YurVJ60cxrfIPzFgxJ6n9NNTTI/3oCEPSymi3mZ9RQQ6OBrKY5s6gil78gFf4HYezyAZT4uqYOGsGHzUdy+uFIxm8p4apa5/hoYGn02jZ/HTlw+S6Jhosm++Xf5m6rDy+s/4v3Dv4U3zQs5SDdm1g4p3zeb3pFD7qOYhRu9ZxWdUL3DXkbFb1GMg5W15nyvpngeT0oxhdV8mEbe9gOH68ci4Le49iZ3YP7io9B4Bvr/8rANXE3gPxnXXPUp+Vy72DzwTgh6t/zwk7lmNBP483e43gw56D915An175FJV5RXvfFHjDmvl81GMQj5WcAsBNq+exOaeQf9n6JrmuCYCnBhzHPUPOBuDWVb/j1d6H8vSA4wD48cq5vNhnNM8OOAaAGSvmsLRgGJ/f/Ore34N6eqQGHWFIWjmaTWThMCCbZo5mU5fyR+1cTbZrjuVds1cviUN2VyW1H0XL9rKAHNdESeP2LuWLGmrJiuvnMaBxZ5fnMKShhlzXRDaOLBylwYsAwhpWv3lvXj09UoeOMCStvEkJDWTjaKKRbN6khBrrwTTG711nkxXwzFXTeT14H0ZVXv+9F6cbLZsGy8bF9ZJY1WPgPhevP+o5iGeuuomPgtfuf9CzdJ/lz/c7krO2vp20fhRv9Rq+zz7cP+hT+zw7/9WQTwPs7afRcuTR4u4hn+bHK+funf+sIWfvk59RdsE+67e+0eFtwycxuq6So3au3juHR0tO3bv830Z8cZ/1WzoJtpg+8hJG11Vy6o73caCeHilEBUPSyjIr4mE3mnK28xQHs8yKupaP2IsiUWNEkYh+Gsn+GSwrKGNu8akM27OZJ4s+qdNRKUIFQ9LO8VQBdLlYtIjaiyJRYyRz+6nwM5gzaFyk7UviqWBI2vkhp3a+kqS8/ObY/dLqs3KTPJP0ZmbZwCJgrXOuwzfwqGBI2qkz/YFJB7euehRI3psfM8g1wDKg01srq2BI2jnDrQHgRRuW5JlIFE8PODbZU0h7ZlYGTAR+BEztbH0VjCR47/M3R8rPmvNYgmaSnj5L7NVPL9Jxwagd1c97G8352ZHyAA19clh7dnGkfNO7H/hPYFdymzx1ZkHfMcmeQia4E5gO9A6zsvphdLM8wKYtNeqH0cEY2XtifS6a8vI7zG+ubfTeflHfPDZv2+OdBxjQPy/S77GkIJetK7r2/oZ4UXuCwP7tZ5G7qw6Ahp4F+237iRgjhfthrAKq4751j3PunpYvzOw84DPOuavMbDwwLaHXMNQPI/l5iB1hqB9G+2MUDx3AwOHFvPty+8++L7r9XB76u9+tQwAunTich56J9mayiz8/ItLv8cpjhzI/iT1BYP/2s5ixYg7Q8TUM9cPoUHUnDZROBc43s88APYA+ZjbHOdfuD1zv9Ja0843PHcolF45N9jQkoqeKjuepooQ2jJM4zrkbnXNlzrly4IvACx0VC9A1DElDJ086hbyDRsDUJ5I9FYng730OT/YUpBUdYUha6TewLz1PO5G8YUMZfdKoZE9HIujTWEefxrpkTyMjOOcqOrt+ASoY0o1lZWWRlb3vx2mfP5Hs7GwAzrjo5I8tz8rSQ767uGnNE9y0RkeJqUSnpKTbGnPKKG6ccw0Dh7f90tRJ157HpGv/70nTjppafn75r/ifea8cqClKBK/2PoSRuzcyuq7S6xYjLTdAjHI/r0SMkU70dEu6raUvvccVx1zPS/Nf63Tddxa+zxXHXK9i0U2Mrqvk0o0LmLDtHX624iH+tfpVAIobtjNjxRyOqV0BQO/qjcxYMYcjd64CoKx+MzNWzOGcLa/z45Vz+crGF/nZioc4u+YNAA7atYEZK+Zw0K4NAIzatY6Jd97GiN0b9253xoo5lNVvZnRdJT9d+TBf2fhptGh4AAALjklEQVQiP145V42cUMGQbm5HTS3/Pul2Zl59L/W7Pv6+iOamJh758RNMPeOHbFxd3cYIkoqO2rl6bz8MwzFyd9fe93PI7qp98ofuqvKaQ7Z6cuxDBUPSwh9mPcebFR9/LX31R+u5/weP0NzUnIRZia+Wnh6NGPWWs7cbX3VuH6aPvITXC0cCsKM41qvk7V4jAKjML2L6yEt4vt+R++Rf6Bd7mfVHPQcxfeQlfNRzEBDrZfLMtTexqsdAIHaH3ekjL6EyvyiYQw6NmHpyBHQNQ9JCQZ8CPvGpj7/3YuChZZSPHc7KpXp22J2kQ0+PdKSCIWnhlPOPJy8/l107dzP7ew+ydcM2rrvvSvoW9+H0SSeqYHRD6dDTI93olJSkhdMnncTyN1byneO/z5/vfZ6X/7iIbx89jdeff5vTJ52U7OmJpAUVDOn2ehTks+b9tUw56UbWvL9u7/c3r6/h+2ffyvMP/w+DRw5M4gxF0oNOSUm3t7uunntveLjNZc45Hv3pkwd4RiLpSUcYIiISio4wJGP1fLLzN/y1J+vUosjbz91Qy+A7F/rnbz838hxEukINlLpZHtRAKRFjJCIfpQETQFFhTtL3IZUbKB2IfCLGSOEGSos76YfRZWqg1M3yoAZKiRgjEfkoDZgAvnpqUdL3IZUbKB2IfKLGyBQ6JSUikoKy6qHXqoQfuESii94iIhKKCoaIiISigiEiIqGoYIiISCgqGCIiEooKhoiIhKKCISIioahgiIhIKCoYIiISigqGiIiEooIhIiKhqGCIiEgouvmgiKfCD7ZGGyABPTWiWnt2caR8Q5+cSGM09Mmh+L4q73xO9Si++eSz3nmAnOVlkfKZRP0wulke1A8jEWOkRC+Jovyk78PGhibvPEBJQW6kx2JJQS61+du9830aC8nq4f9YBLD6YjZV+u/D/uqH0XPQMHfIl6d655f+fGqH/TDMrAewAMgndvDwuHPu5o7GVD+MbpYH9cNIxBgp0Uvi6wcnfR9mr41WuK88dmikx+KVxw5l4dAF3vkzq8dRePC93nmAnOWXMW9WZaQxuql64FPOuVozywVeMrM/O+deaS+gU1IiIhnIxU4v1QZf5gYfHZ5y0kVvEZH0VGxmi+I+Lm+9gpllm9kbwEbgr865VzsaUEcYIiLpqbqznt7OuSbgE2bWD5hvZmOdc0vbW19HGCIiGc45txWoAM7paD0VDBGRDGRmJcGRBWbWEzgLeK+jjE5JiYhkpiHAb8wsm9jBw2POuac7CqhgiIhkIOfcW8AxXcnolJSIiISigiEiIqGoYIiISCgqGCIiEooKhoiIhKKCISIioahgiIhIKOqH0c3ykBr9MCL301jt3wMBUqOXRDr09EiHfhjbc2o7X7GTMaL01Jg2bRrL397Z7fph+FA/jG6Wh9TohxE1P2/Wy955SI1eEunQ0yMd+mE8X+yfbxkjak+NTKFTUiIiEooKhoiIhKKCISIioahgiIhIKLpbrYhICsreA31XRnsVW6LpCENEREJRwRARkVBUMEREJBQVDBERCUUFQ0REQlHBEBGRUFQwREQkFBUMEREJRQVDRERCUT+MbpZPhTkkpB/G+/79ByA9ekkMzM+hZtNu/zmU9EhqvmWM4pIB3vna2loKe6z0z+8aRGHPDd75ljEa8qq98/urH0Zh/2HuExOu8c7/ff716oehfhjJn0Mi8o9d/xvvPKRHL4nvHjKIebPe8c5PuuqIpOZbxph84XjvfEVFBeMO/4V3fsHSaxg31j/fMsam8gcijZEpdEpKRERCUcEQEZFQVDBERDKQmQ0zs/82s2Vm9o6ZdXrBRLc3FxHJTI3Adc65JWbWG1hsZn91zr3bXkBHGCIiGcg5t945tyT4fAewDBjaUUYFQ0Qkw5lZOXAM8GpH6+mUlIhIeio2s0VxX9/jnLun9UpmVgjMA651zm3vaEAVDBGR9FTd2Rv3zCyXWLF42Dn3RGcD6pSUiEgGMjMD7gOWOefuCJNRwRARyUynApcCnzKzN4KPz3QU0CkpEZEM5Jx7CejSPbB0hCEiIqGoYIiISCgqGCIiEoquYYiXT2dd6J296PZzEziT5Bl858JI+eZfT6Z2VD//fH52pO0nysg7f+adnVpaxqayPt75nKZs5tX651vGmFTY4dsPOvTTrGh9UboTNVDqZvlUmEPUBkhRmxclYoxk5wH6j+jP5m17vPNFffOo2bjLf/sJaqC03jV45wfl5pFbUOWdt/piXL5/86OWMfoV+DdhmnbdNBa9uVsNlFpTA6Xk51NhDlEbIEVtXpSIMZKdB5j868k89Mxq7/ylE4czPwUaKN2xZ713fmppGYMPvtc7n7P8Mhoj5FvGiNqEKVPoGoaIiISigiEiIqGoYIiISCgqGCIiEooKhoiIhKKCISIioahgiIhIKHqnt4hICsre3UjhP2uSPY196AhDRERCUcEQEZFQVDBERCQUFQwREQlFBUNEREJRwRARkVDUD6Ob5VNhDuqHkZh9GHLYwMi/h9Vb67zzJQW5bKrz72XRMkZVo39Pj0G5eWxoiJaP0k8DUrcfRt+eQ9zJh3zDO//c0v+vfhjp0EsiHfZB/TCi78MPXvhO5N/D7Bf+6Z2/8tihzF6y1jvfMsYd1ZXe+amlZdyxLlo+Sj8NUD+MrtApKRERCUUFQ0REQlHBEBGRUFQwREQkFBUMEREJRQVDRCRDmdn9ZrbRzJaGWV8FQ0Qkcz0InBN2ZRUMEZEM5ZxbAGwJu74KhoiIhKKOeyIi6anYzBbFfX2Pc+6eKAOqYIiIpKfqRN9LSqekREQkFBUMEZEMZWaPAC8Dh5lZpZl9s6P1dUpKRCRDOee+1JX11Q+jm+VTYQ61tbWs3bDTO1/UN4+aVTXeeUhMP4vNtY3e+aK+eWze5t/HAWDooF5J/z2mw2OxIXeNdx6Cfhh9SrzzEyZMSHjfCVA/jKT3cUiFOaTLPjx0/zLv/KUTh/N4CvTDeOjvm73zl04czkPPrPbOA9z23U8m/feYDo/FTWXR+2GMH39hpDEyha5hiIhIKCoYIiISigqGiIiEooIhIiKhqGCIiEgoKhgiIhKKCoaIiISigiEiIqGoYIiISCgqGCIiEooKhoiIhKKCISIioej25iIiKcjtrqfpnQ+SPY196AhDRERC0RGGeNlW7v/Qaco3qq49JYGzSY6Xnrg+Ur6ioiIxE8lwFx6yOFK+orIiMRPJAGqg1M3yqTCH2tpaVm+t886XFOSyqa7BOw8wMDc76Q2Uiov7e+chNX6P6fBYTPY+7K8GSn1sgDvRzvTO/809rgZK6dDwJR32YfYL//TOX3nsUGYvWeudB/ju0L5Jb6A0efJ47zykxu8xHR6Lyd6HTKJrGCIiEooKhoiIhKKCISIioahgiIhIKCoYIiISigqGiIiEooIhIiKhqGCIiEgoKhgiIhnKzM4xs/fN7EMzu6Gz9VUwREQykJllA3cB5wJjgC+Z2ZiOMioYIiKZ6QTgQ+fcR865PcDvgAs6CqhgiIhkpqHAmrivK4PvtUu3NxcRSU/FZrYo7ut7nHP3xH1tbWQ6vH25CoaISHqq7uT25pXAsLivy4B1HQ2ofhjdLJ8Kc0h2PhXmoH1IjTmkwj50134YZpYDfACcCawF/gFc7Jx7p72M+mF0s3wqzCHZ+VSYg/YhNeaQCvvQXTnnGs3sauA5IBu4v6NiATolJSKSsZxzfwL+FHZ9vUpKRERCUcEQEZFQVDBERCQUFQwREQlFBUNEREJRwRARkVBUMEREJBQVDBERCUUFQ0REQlHBEBGRUFQwREQkFBUMEREJRQVDRERC6VI/DDPbBKzaf9MREel2RjjnShI9qJk9CxRHGKLaOXdOouYDXSwYIiKSuXRKSkREQlHBEBGRUFQwREQkFBUMEREJRQVDRERCUcEQEZFQVDBERCQUFQwREQlFBUNEREL5XwTmjUEqiZcqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RkUhUMEREJBIVDBERiUQFQ0REItGlQXLQm++u4OpbE/ajyHHV3dfy/T1+Gztf8u4Fiedww6kzEuWXvzgl8Ryywb+/clrs7KVFfYH4V6sF2Ofh/0iUv7RoFHfO+mrsfP99Kg9JNIEcon4YOZaH7Ohnkel+GEOLSvDy+th5a6pi0ZbtsfODSsso7bE8dh6gedPgvOiHkbQvSSbzrWM0lm6InZ88eRKr59Vboknsxh779fT/fnSf2Pmz93xR/TAy3Usi03nIjn4Wme6HcX33gbQk7MNw83ubYucnVtcwOMH6AVa8OCUv+mEk7UuSyXzrGC9UzUw0RqHQOQwRkQJkZnub2cspX+vN7PL2MjqHISJSgNz9TeBAADMrBpYAj7SX0R6GiIicALzr7gvaW0gFQ0REPgfc19FCKhgiIvmpysxmp3x9fXcLmVkZcBrwYEcD6hyGiEh+qo/4ttpTgBfdfUVHC2oPQ0SksJ1DhMNRoIIhIlKwzKwH8Ang4SjL65CUiEiBcvdNQGXU5bWHISIikahgiIhIJCoYIiISiQqGiIhEknMnvdNx7fsLE4xxe//jE60fYL+JP0yUv+Sj1YnnkGlvnHFNovzUB+7n5sfPjZ2fWN0fiH+1WoApCdYfzCFRHICjj3w9draivopDq+JfdRigR30trx8yPXZ+5tzLeH3fzOVbx7hoRPyr1R5W1pho/bkk5/phLGiJf916SH79/BElvRJvw8K1yZ6oBnYrzXg/i6T5qqp+sfMAKxsaMt5LIkk+XXPYWLY+dr53SwXrS5I92fVuqaCy57LY+cbNg6jo3uHnxbosn44xJk+azOx/bVE/jF1lQz+MqWvmxM5D8uvn315xfOJtmPb027HzEOxhZLqfRdL8mWeOjZ2HcA8jw70kkuTTNYdZ1fFfGZ9QfxxPJewDcUL9cZy+749i52fOvYzjMphP1xiFQucwREQkEhUMERGJRAVDREQiUcEQEZFIVDBERCQSFQwREYkk5z64JyJSCNa29OC39QclGOHFtM2llfYwREQkEhUMERGJRAVDREQiUcEQEZFIVDBERCQSFQwREYlEBUNERCLp3OcwmueyfflesVfW0DSRB9+ZFDtf0nRB7Gy6vLZ2WaIGTJcWjUrjbOIpatpGxVtr4+dPHJo4f/K+342dBxj/vf0T5dOhfHiyXhJFRdsTjVFUtJ3ZS4bHzh9ZVJYo3zrGmOfPi52/tKiSsYMTXO7/jTqKkuTTMMacVyxZz4Uc0qkGSvvsXeO3/+TK2Ctbu2kQXl4fO29NVSzZ3hI7D8kbKKUjv6ox4TYkbaDUu5SGVVti5/sN6JbRPECfId0z3kBplSXbhmx4LCbJp2sOA/r2j51P2pQtHWOMGzcu7Y2KACpHD/BP3v3p2PnpR9yV2QZKFd3qEzUaeexfE2nZ487Y+ZJ3L2DqxpWx85C8gVI68re/uDx2HpI3UPriiUN56LbXYucnXPzRjOYh2MPIdAOln5TEfxxAdjwWk+TTNYezMtiULV1jFAqdwxARkUhUMEREJBIVDBERiUQFQ0SkQJlZXzP7jZm9YWbzzOzI9pbX5c1FRArXj4An3f1MMysDerS3sAqGiEgBMrPewHHAlwDcfSvQ7nvNdUhKRKQwfQRYBfzCzF4yszvNrGd7ARUMEZH8VGVms1O+vr7L7SXAwcA0dz8I2Ai0+8lsHZISEclP9R180nsxsNjdZ4Xf/4YOCob2MERECpC7LwcWmdne4Y9OAF5vL6M9DBGRwnUpcG/4Dqn3gC+3t7AKhohIgXL3l4HIFyjUISkREYlEexgZ8OrN306U/+ld96dpJrmreKtRsTD+653iKkvci4LtseNZo/Z78S/xDlB2sVN7W/wxyi529knYX2Zs7LR0lvphZCCf5Pr/APX1DQXfD6Pv4O6s2tQcOz+gRykri+LPIVt6SSTNr12a7PeQjsfCitLM/j2pH0Z06oeRgXyS6/9DsIdR6P0wTrvyAKa9uCR2/qKDhzK1R+73kkia/13C30M6HgtTE3S7S8ffk/phRKdzGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhKJriUlIpKFNjaX8c8lwzM9jZ1oD0NERCJRwRARkUhUMEREJBKdw8iAJNf/B/hW+WjW1cb/1TX3LmHJSVWJ8tteT3Cl1s17JMsDcEDCPDQtjH9J6+3VRTQtjZ8HoDZZPF8k6clRdrFz8r7fTbT+CRd/FF2sNhr1w8ixPMDA7d0S94JIml87vyF2vl9NHxoWr4udB+g7sl/ibVjeEv+JalBpGSuakzUfGlxWmvHHYjb0w8h0b5V+A7pRNSB+T42u6ofRbc+hXnvDN2Ln35xwjfph5EM/jKR9FL61aXTiXhBJ849c8YfY+bNvPIUHEuQBTv/VWYm34eb6xbHzE6truHlp/DzA5NrqjD8Ws6EfRqZ7q0y4+KOcedbYRGMUCp3DEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFIVDBERCQSFQwREYlEn/QWESlQZvY+sAHYBrR09EE/FQwRkcI2zt0jXYJDh6RERCQSFQwRkcLlwJ/MbI6Zfb2jhXVISkQkP1WZ2eyU7+9w9zt2WeZod19qZgOBP5vZG+4+s60BVTBERPJTfUcnsd19afjvSjN7BDgMaLNg6JCUiEgBMrOeZtar9f/AScDc9jKd2sOYu7E/Y54/L/YELy3qy9RXTkuUh2SXN+9RupVDqxbGz9fXJs4nbIchWWLvO9ckypddPITa25I1D0qaf3LuD2LnAerq6oBklxfPBkmaMPXuNviQNE7lwzQIeMTMIKgFM9z9yfYCnWqgVLPnSL/qf/8r9uyyofnQYCtjfUlj7HzvlorE+eWerPGOGihlRwOldcs2x85D5psHJW0cBNDY2MiyhesTzSEbGiglGWPypEms27zMEk1iN3K+gVI9TRlv+JK0+dB3ymt5qqrNQ3QdOqH+uMT5qU3vx86DGihBdjRQeiIPmg8lbRxUV1fHQ7e9kGgO2dBAKekYhULnMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwRLrA6E2L+eyq5xm9Kd6J9UznRXZHn/QWSbPRmxZzw/zpFOE0WzEzBhzNoY3zuXb4mWwq7sZx617n1DUvMnvrtQB8fO1cTm54matqz2GbFfOFFc/wufrncaDZinms/6GM2rKcq2rPBeDUNXM4fMPbvMz3Afj06n9w0MYFXDv8LAAuWvpHTm14EcL8VbXnMq9HzYd+P0j+0R6GSJrtv3EhJWynGKfEt1HbFOnK0TsMa1qN4TvyNVs79wHBIc0NFKXk998Y/4OmIqm0hyGSZq/0HE6LFVPk22ixYn7X/5CdXuHP7DOGmX3GMKGsHICn++7L03333XH7w1WH8bHGdygJ87+pOmKn/OP9D+Hx/ocwIfz+scrDeKzysB233zfgmKBohflXeg7v2g2WgqGCIZJm83rUMKX28+y/cSGv9Bze6cNB83rUcFXtuYnyf+67H0O2ruXegcfqcJSkjQqGSBdYXtqX5X370lBaESs/r0dNoif6Xtu20FjcTcVC0koFQ6QLXLX4UQCmjIx/sc4k/nvY6RlZr+Q3FQyRLnB/1ZGZnoJI2qlgiHSBOb32yOj6z135LAAzBh6T0XlIfsm5gvHGGdckytfV1TH98Lsymifh1WqTGlMzkFfPOzt2vq6ujkfSOJ84Slc0MviW5+PnbzyFvX8Rv59Ft4uHtHt7VXNwye/60t6x15FEzdbVkZZL0gcCgiu9StfwrUVsXRTvHFhXybl+GAP6Jr9+f0VF/F9COvILWjbEzkPyfhjD+/ZIvA3L3ozfyCod/TCSjtGvpg8Nq+M/FjvqoTD+lusAeOLyq2OPkXQOXZ3PhjlkwzZ0VT+M8uHDfOikb8fOz798kvphnDV2bOw8BK+OxyYYIx35qWvmxM5D8n4YU087KPE2PHDFL2Pn09EPI+kYZ994Cg/94t3Y+Y56KLy39UAAXmpnmUz3gsiGXhKZzqdrjEKRc4ekRHLBSxUjM7r+81c+A8A9A4/P6Dwkv6hgiHSBwVuDFrbLy/plZP0DmpMd9hTZHRUMkS4wcckTQOY+h3Hz0FMzsl7JbyoYIl3gnoHHZnoKImmnq9VK3hntq/mcv8Foj/bW0g/k09BLosWKGbNpScb6UUxe/FtumD89o/001NMj/2gPQ/LKaF/NTdRRgtNMEZP9eJbTk+/yd37NPsy2wQzwTYy/7Qbe23YwL1WMZPDWBiYueYJ7Bh5LixXzP+/fS6lvo9mK+U7t59lUVMY3l/2JOwd/nLe6V/ORzSsYf8sjvLTtKN7rPohRm5dywfKn+cmQk1jQbSAnr3mJS5c9CWSmH8XoTYsZt+41DOf692fwfK9RbCzuxk+qTwbgG8v+DEA9wWcovrn0SZqKSrlz8AkAfG/hgxy24V0s7Ofxr54jeKf74B0n0KcsfozFZZU7PhR45aJHeK/bIB4YcBQAVy98iNUlFfzb2n9R6tsAeKz/Idwx5CQAvr/g18zqtReP9z8EgOvfn8EzvUfzZP+DALhh/nTm9hjGGatn7fg9qKdHdtAehuSVA1hFEY4BxWznAFZ1Kr//xoUU+/Yg79tj9ZLYc8vyjPajaF1fEVDi2xjQsr5T+crmRopS+nn0b9nY6TkMaW6g1LdRjFOEUx2+CSCqYU2rd+TV0yN7aA9D8sq/GEAzxTjbaKGYfzGABuvGZMbuWGaV9eCJi6fwUvg5jOVl/XacnG6xYpqtGE/pJbGg28CdTl6/130QT1x8Ne+F791/q3v1Trc/1Xc/Tlz7asb6UbzSc/hO2/DzQR/f6dX5T4d8AmBHP43WPY9Wtw/5BNe/P2PH/G8bctJO+RtqPr3T8rte6PC64RMYvWkx+29cuGMO9w84esft/z7iczst39pJsNWUkecxetNijt7wJg7q6ZFFVDAkr8yzSu710dSynsfYg3lW2bl8wl4U6RojiXT008j0fTCvRw0zqo5m2NbVPFr5MR2OyhIqGJJ3DmU5QKeLRaukvSjSNUYm158N98H0QcclWr+knwqG5J3vcXTHC0nWK98eXC+tqag0wzPJb2ZWDMwGlrh7ux/gUcGQvLPJ9ASTD76/4H4gcx9+LCCXAfOADi+trIIheed4XwTAMzYswzORJB7vf3Cmp5D3zKwGGA/8AJjY0fI5VzAefOeQRPkB3JSmmcSXtKfHbdMfSNNM8tOnCN799AztF4zGUX1jr2N7eXGiPEBz7xKWnFSVKL/t9fhXf2ZzZps8dWRmnzGZnkIhuAWYAvSKsnDO9cMo6b4idh6gtHlYxvthJMkDrFrToH4Y7YxRvDV4jG0rK283v7qxJfb6K/uUsXrd1th5gP79yhL9Hgf0KGXt/M59viFV0p4g0LX9LEo3bwKguXuPLlt/OsbI4n4YC4D6lB/d4e53tH5jZqcCn3T3i81sLDA5recwsqEfxsA97oydB+i3+KaM98NIkodgD0P9MNoeo2pofwYOr+L1F9p+rJ194ync81y8S4cAnD9+OPc8kezDZOeeMSLR7/Gig4fySAZ7gkDX9rO4Yf50oP1zGOqH0a76DhooHQ2cZmafBLoBvc1suru3eYfrk96Sd75y+l6cd9a+mZ6GJPRY5aE8VpnWhnGSwt2vcvcad68FPgc83V6xgBw8hyHSkSMnHEXZR0bAxIczPRVJ4Lne+2R6CrIL7WFIXuk7sA/djzmcsmFDGX3EqExPRxLo3bKJ3i2bMj2NguDudR2dvwAVDMlhRUVFFBXv/HXMGYdTXFwMwPFnH/mB24uK9JDPFVcvepirF2kvMZvokJTkrDFHjeKq6ZcxcPju35o64fJTmXD5/71o2tDQyA+//lP+9tDfP6wpSgKzeu3JyC0rGb1pcaxLjLReADHJ9bzSMUY+0cstyVlzn32DCw+6gmcf+UeHy772/JtceNAVKhY5YvSmxZy/cibj1r3GTfPv4TP1swCoal7PDfOnc1DjfAB61a/khvnT2W/jAgBqmlZzw/zpnLzmJa5/fwZfWPkMN82/h5MaXgbgI5tXcMP86Xxkc/D2/FGblzL+lusYsWXljvXeMH86NU2rGb1pMf/z/r18YeWI9TNOAAAL+ElEQVQzXP/+DDVyQgVDctyGhkb+Y8KNTL3kTpo2f/BzEdu3beO+6x9m4vHfY+XC+t2MINlo/40Ld/TDMJyRWzr3uZ89tyzfKb/X5uWx5lCsnhw7UcGQvPDb2/7Iv+o++F76+veW8fPv3sf2bdszMCuJq7WnRwtGk5Xs6MZXX9qbKSPP46WKkQBsqAp6lbzacwQAi8srmTLyPJ7qu99O+af7Bm+zfq/7IKaMPI/3ug8Cgl4mT1x+NQu6DQSCK+xOGXkei8srwzmU0IKpJ0dI5zAkL/To3YMDP/7Bz14M3KuG2n2H8/5cvTrMJfnQ0yMfqWBIXjjqtEMpKy9l88YtTPv23axdsY5Jd11En6reHDvhcBWMHJQPPT3yjQ5JSV44dsIRvPvy+3zz0O/whzuf4oXfzeYbB0zmpade5dgJR2R6eiJ5QQVDcl63HuUsenMJlx5xFYveXLrj56uXNfCdk77PU/f+jcEjB2ZwhiL5QYekJOdt2dTEnVfeu9vb3J37/+fRD3lGIvlJexgiIhJJp/Yw9u1bzewEzX/q6up4Y+w5ifJj95wTOw9Qt7guUV7yR/dHO/7AX1uKjq5MvP7SFY0MvuX5+PkbT0k8B5HO6FQDpdGjR/u0adNirywbmg9leg5qoNT1DZQ+rHySBkwAlRUlGd+GbG6g9GHk0zFGFjdQmtNBP4xO69QeRs+ePXO++VCm56AGSl3fQOnDyidpwATwxaMrM74N2dxA6cPIp2uMQqGT3iIiWaioCXouSPuOSyI66S0iIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhKJCoaIiESiiw+KxFTx1tpkA6Shp0ZSS06qSpRv7l2SaIzm3iVU3bU8dr6kflTsrHSe+mHkWB7UDyMdY2RFL4nK8oxvw8rmbbHzAAN6lCZ6LA7oUUpj+frY+d4tFaxZktmeHl3VD6P7oGG+5+cnxs7P/eHEdvthmFk3YCZQTrDz8Bt3b7dDnvph5Fge1A8jHWNkRS+JL++R8W2YtiRZ4b7o4KGJHosXHTyU54fOjJ0/of44Hrrtrdh5KOh+GE3Ax9290cxKgWfN7A/u/ve2AjokJSJSgDw4vNQYflsafrV7yEknvUVE8lOVmc1O+fr6rguYWbGZvQysBP7s7rPaG1B7GCIi+am+o57e7r4NONDM+gKPmNm+7j63reW1hyEiUuDcfS1QB5zc3nIqGCIiBcjMBoR7FphZd+BE4I32MjokJSJSmIYAvzSzYoKdhwfc/fH2AioYIiIFyN1fAQ7qTEaHpEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUT+MHMtDdvTDSNxPY2H8HgiQHb0k8qGnRz70w1hf0tjxgl04xuTJk1g9rz7n+mHEoX4YOZaH7OiHkTT/0G0vxM5DdvSSyIeeHvnQD+Opqvj5dI1RKHRISkREIlHBEBGRSFQwREQkEhUMERGJRFerFRHJQsVboc/7yd7Flm7awxARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFI1A8jx/LZMIe09MN4c2XsPORHL4mB5SU0rNoSfw4DumU03zpG1YD+sfONjY2sstWx871bKlja1BI7DzCotIwVzVtj5ydPmkzTokVp74dR0W+YHzjustj55x65Qv0w1A8j83NIR/6BK34ZOw/50UviW3sO4qHbXoudn3DxRzOabx3jzLPGxs7X1dXx6+6PxM6fUH8cN8+vj50HmFhdw81LFycao1DokJSIiESigiEiIpGoYIiIFCAzG2ZmfzWzeWb2mpl1eMJElzcXESlMLcAkd3/RzHoBc8zsz+7+elsB7WGIiBQgd1/m7i+G/98AzAOGtpdRwRARKXBmVgscBMxqbzkdkhIRyU9VZjY75fs73P2OXRcyswrgIeByd1/f3oAqGCIi+am+ow/umVkpQbG4190f7mhAHZISESlAZmbAXcA8d785SkYFQ0SkMB0NnA983MxeDr8+2V5Ah6RERAqQuz8LdOoaWNrDEBGRSFQwREQkEhUMERGJROcwJJZPFJ0VO3v2jaekcSaZM/iW55MN8OPT0zORDBt5y02xsxOra3hu6ZjY+cOru8XOSuepgVKO5bNhDkkbICVtXpSOMTKdB+g3vG9eNFBa5s2x80mbFyXNp2MMNVBqgxooZT6fDXNI2gApafOidIyR6TzA2T8+PS8aKN28dVnsfNLmRelofqQGStHpHIaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJPqkt4hIFire0kLF2w2ZnsZOtIchIiKRqGCIiEgkKhgiIhKJCoaIiESigiEiIpGoYIiISCTqh5Fj+WyYg/phpGcbhuw9MPHvYeHaTbHzA3qUsmpT/F4WrWMsb8lcP4t87ofRp/sQP3LPr8TO/3Huf6kfRj70ksiHbVA/jOTb8N2nv5n49zDt6bdj5y86eCjTXlwSO986xs31metnoX4YHy4dkhIRkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQKlJn93MxWmtncKMurYIiIFK67gZOjLqyCISJSoNx9JrAm6vIqGCIiEok67omI5KcqM5ud8v0d7n5HkgFVMERE8lN9uq8lpUNSIiISiQqGiEiBMrP7gBeAvc1ssZl9tb3ldUhKRKRAufs5nVle/TByLJ8Nc2hsbGTJio2x85V9ymhY0BA7D+npZ7G6sSV2vrJPGavXJevDMHRQz8S/h+bSRbHz1lTFoi3bY+ch8/0s1A+jbeqHkSe9JPJhG+75+bzY+fPHD+c3WdAP457nVsfOnz9+OPc8sTB2HuC6b30s8e9hVc2dsfMl717Aze/Fb8AEme9noX4YHy6dwxARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFIVDBERCQSFQwREYlEBUNERCLR5c1FRLKQb2li22tvZXoaO9EehoiIRKI9DIllXW38h862cmP55UelcTaZseS4ZK+3Xl25gi/fclPs/MTqGgbXJJoCN5w6I1G+5N0LOHrE67HzFfVVHH1ksvz8yyfFzkNwmfj5Z382dt6+PXlOognkEDVQyrF8NsyhsbGRhWvj91EY0KOUVZuaY+cBBpYWZ7yB0rLtmW3cM6i0jNIey2PnrakKL6+PnW8do6E4/mOhd0sF60saE+Ur+1TGzkPyv4dx48alvVERQG/r74fbCbHzf/HfqIFSPjQfyodtmPb027HzFx08lGkvLomdB/jW0D4Zb6B084bMNu6ZWF3D4D2SNVBqSZBvHeOpvrNj50+oP46nqmYmyk8YOyF2HtLzN1kodA5DREQiUcEQEZFIVDBERCQSFQwREYlEBUNERCJRwRARkUhUMEREJBIVDBERiUQFQ0SkQJnZyWb2ppm9Y2ZXdrS8CoaISAEys2LgJ8ApwBjgHDMb015GBUNEpDAdBrzj7u+5+1bg18Cn2wuoYIiIFKahwKKU7xeHP2uTLm8uIpKfqsws9cqQd7j7HSnf224y7V6+XAVDRCQ/1XdwefPFwLCU72uApe0NqH4YOZbPhjlkOp+uOSxo2RA7P5ByVtIUOw8w2MoS94JI3Eui57LYeYDGzYOo6DUgfj4PHku52g/DzEqAt4ATgCXAP4Fz3f21tjLqh5Fj+WyYQ6bz6ZrD1DXxG6VdWjSKqduT9Vv+Tnlt4l4QSfOn7/uj2HmAmXMvY+zYs2Ln8+GxlKvcvcXMLgH+CBQDP2+vWIAOSYmIFCx3/z3w+6jL611SIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhKJCoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISSaf6YZjZKmBB101HRCTnjHD3+E1B2mBmTwJVCYaod/eT0zUf6GTBEBGRwqVDUiIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhLJ/wc0lL/K39QY2gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6GrvRHoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKR6NIgndA7H6zmxjtj9qPo5AZ128jN+/zOO1/wwWWx5zD5rJmx8qvmT4o9h0zwH6+f7Z29Oq8X4H+1WoD9H/9hrPzVeSO4d87XvfN99i87PNYEOhH1w+hkeciMfhZJ98MYnFeA61Ltnbe6cpZu3+md719YRGHxKu88QH3tgKzohxG3L0mS+aYxagq3eOcnTpzAuoXVFmsSzdjnwBL3X0/u752/cN/56oeRdC+JpPOQGf0sku6HcWu3fjTE7MMw5cNa7/z4QRUMiLF+gNXzJ2VFP4y4fUmSzDeN8XL5rFhj5AqdwxARyUFmtp+ZvZrys9nMrm0to3MYIiI5yDn3DnAIgJnlA8uBJ1rLaA9DREROBj5wzi1ubSEVDBER+QLwYFsLqWCIiGSncjObm/LzjeYWMrMi4GzgkbYG1DkMEZHsVB3xY7VnAPOdc6vbWlB7GCIiue0iIhyOAhUMEZGcZWbFwKnA41GW1yEpEZEc5ZyrBcqiLq89DBERiUQFQ0REIlHBEBGRSFQwREQkkk530jsd176/PMYYd/c5Kdb6AQ4c/5NY+as+NSj2HJL29nk/iJWf+vBDTHn6Yu/8+EF9AP+r1QJMirH+YA6x4gAcd8xb3tnS6nKOKPe/6jBAcXUlbx0+wzs/a8E1vHVAcvmmMa4Y5n+12iOLamKtvzPpdP0wFjf4X7ce4l8/f1hB99jbsGRjvBeqfl0LE+9nETdfXt7bOw+wZsOGxHtJxMmnaw5bizZ753s0lLK5IN6LXY+GUspKVnrna7b1p7Rbm98X67B8OsaYOGEic1/brn4Ye8qEfhhT18/zzkP86+ffXXpS7G2Y9sJ73nkI9jCS7mcRN3/++aO98xDuYSTcSyJOPl1zmDPI/53xydUn8nzMPhAnV5/IuQf81Ds/a8E1nJhgPl1j5AqdwxARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkkk73xT0RkVywsaGY31UfGmOE+WmbSxPtYYiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhE0r7vYdQvYOeqT3qvbEPdeB55f4J3vqDuMu9sury5cWWsBkxX541I42z85NU1UvruRv/8KYNj508/4HveeYCx3z8oVj4dugyN10siL29nrDHy8nYyd/lQ7/wxeUWx8k1jnHnKhd75cVf2YfQpMS73/3YVeQPitQuIO8a81y1ez4VOpF0NlPbfr8Ld/fPrvVe2sbY/rku1d97qylm+s8E7D/EbKKUjv7Ym5jbEbaDUo5ANa7d753v37ZpoHqDnwG6JN1Baa/G2IROei3HyTWNsXBHvuVDet493Pm5TtnSMMWbMmLQ3KgIoG9nXnXn/Od75GUffl2wDpdKu1bEajTz12nga9rnXO1/wwWVM3brGOw/xGyilI3/3/FXeeYjfQOnLpwzmsbve9M6Pu/JTieYh2MNIuoHSzwv8nweQGc/FOPmmMX4f87lw/gWjvfNxm7Kla4xcoXMYIiISiQqGiIhEooIhIiKRqGCIiOQoM+tlZo+a2dtmttDMjmlteV3eXEQkd/0UeNY5d76ZFQHFrS2sgiEikoPMrAdwIvAVAOfcDqDVz5rrkJSISG76BLAW+JWZvWJm95pZSWsBFQwRkexUbmZzU36+scftBcBhwDTn3KHAVqDVb2brkJSISHaqbuOb3suAZc65OeHvj9JGwdAehohIDnLOrQKWmtl+4Z9OBt5qLaM9DBGR3HU18ED4CakPga+2trAKhohIjnLOvQpEvkChDkmJiEgk2sNIwBtTvhMr/4v7HkrTTDqv/B1G6RL/9zv55Ra7FwU7veMZo/L7/pd4Byi6Mnp7hJbE6Y0y7spPoQvN7j3qh5FAvm8v/+v/A1RXb8j5fhi9BnRjbW29d75vcSFr8vznkK5eEkk/F+P0soDknwtx+2mA+mG0h/phJJC/IOZbol/c91DO98M4+/qDmTZ/uXf+isMGM7U4+V4SST8X4/SygOSfC3H7aYD6YbSHzmGIiEgkKhgiIhKJCoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJLqWlIhIBtpaX8Q/lw9Nehq70R6GiIhEooIhIiKRqGCIiEgkOoeRgP0f/2Gs/Le7jGRTpf9DV9+jgOWnlcfKN74V40qt2/aJlwfg4Jh5qFvif0nrnYPyqFvhnwegMl5cAnH6aYB6arSH+mF0sjxAv51dY/eCiJvfuGiDd753RU82LNvknQfoNbx37G1Y1eDfU6R/YRGr6+M1HxpQVJj4czEb+mHE7a0St6dGR/XD6LrvYFc5+Zve+XfG/UD9MLKhH0bcPgrfrh0ZuxdE3PwT1/3RO3/hbWfwcIw8wLm/uSD2NkypXuadHz+ogikr/PMAEysHJf5czIZ+GHF7q6Sjp0au0DkMERGJRAVDREQiUcEQEZFIVDBERCQSFQwREYlEBUNERCJRwRARkUj0TW8RkRxlZh8BW4BGoKGtL/qpYIiI5LYxzrlIl+DQISkREYlEBUNEJHc54M9mNs/MvtHWwjokJSKSncrNbG7K7/c45+7ZY5njnHMrzKwf8JyZve2cm9XSgCoYIiLZqbqtk9jOuRXhf9eY2RPAkUCLBUOHpEREcpCZlZhZ96b/B04DFrSWadcexoKtfRg1+xLvCV6d14upr58dKw/xLm9eXLiDI8qX+OerK2PnY7bDkAyx373rY+WLrhxI5V3+PTWKrnSx888u+LF3HqCqqgqId3nxTBCnCVOPrgMOT+NU9qb+wBNmBkEtmOmce7a1QLsaKFXsO9zd8D//6T27TGg+NMCK2FxQ453v0VAaO7/KxWu8owZKmdFAadPKbd55SL55UNzGQQA1NTWsXLI51hwyoYFSnDEmTpjApm0rLdYkmtHpGyhVU5d4w5e4zYe+26WS58tbPETXppOrT4ydn1r3kXce1EAJMqOB0jNZ0HwobuOgqqoqHrvr5VhzyIQGSnHHyBU6hyEiIpGoYIiISCQqGCIiEokKhoiIRKKCIdIBRtYu4/NrZzOy1u/EetJ5kebom94iaTaydhmTF80gD0e95TOz73EcUbOIm4aeT21+V07c9BZnrZ/P3B03AfCZjQs4fcOr3FB5EY2Wz5dWv8gXqmfjgHrL56k+RzBi+ypuqLwYgLPWz+OoLe/xKjcDcM66f3Do1sXcNPQCAK5Y8SfO2jAfwvwNlRezsLhir98Pkn20hyGSZgdtXUIBO8nHUeAaqayLdOXoXYbUrcNwu/IVO9r3BcGB9RvIS8kftNX/i6YiqbSHIZJmr5cMpcHyyXONNFg+v+9z+G7v8Gf1HMWsnqMYV9QFgBd6HcALvQ7Ydfvj5Ufy6Zr3KQjzj5YfvVv+6T6H83SfwxkX/v5U2ZE8VXbkrtsf7Ht8ULTC/OslQzt2gyVnqGCIpNnC4gomVX6Rg7Yu4fWSoe0+HLSwuIIbKi+OlX+u14EM3LGRB/qdoMNRkjYqGCIdYFVhL1b16sWGwlKv/MLiilgv9N0bt1OT31XFQtJKBUOkA9yw7EkAJg33v1hnHP815NxE1ivZTQVDpAM8VH5M0lMQSTsVDJEOMK/7Pomu/+I1LwEws9/xic5DskunKxg3H/S7WPm+y25nxlH3eeerqqpi54l5tdq4RlX0441LLvTOV1VV8UQa5+OjcHUNA+6Y7Z+/7Qz2+5V/P4uuVw5s9fby+uCS39WFPbzXEUfFjnWRlovTBwKCK71Kx3A78tix1O8cWEfpdP0wCrqt9s4DFNYPobTU/0GoqamJnV/csMU7D/H7YQztVRx7G1a+49/IKh39MOKO0buiJxvW+T8X2+qhMPaOWwB45tobvceIO4eOzmfCHDJhGzqqH0aXoUPc4Anf8c4vunaC+mH02+de7zxA72W3M3r0aO98VVVV7PzU9fO88xC/H8bUsw+NvQ0PX/dr73w6+mHEHePC287gsV994J1vq4fChzsOAeCVVpZJuhdEJvSSSDqfrjFyRac7JCXSGbxSOjzR9V+65kUApvc7KdF5SHZRwRDpAAN2BC1sVxX1TmT9fevjHfYUaY4KhkgHGL/8GSC572FMGXxWIuuV7KaCIdIBpvc7IekpiKSdrlYrWWekW8cX3NuMdNE+WvqxfBp6STRYPqNqlyfWj2List8xedGMRPtpqKdH9tEehmSVkW4dt1NFAY568pjoTmIVJXyPv/Nb9meuDaCvq2XsXZP5sPEwXikdzoAdGxi//Bmm9zuBBsvnvz96gELXSL3l893KL1KbV8S3Vv6Zewd8hne7DeIT21Yz9o4neKXxWD7s1p8R21Zw2aoX+PnA01jctR+nr3+Fq1c+CyTTj2Jk7TLGbHoTw3HrRzOZ3X0EW/O78vNBpwPwzZXPAVBN8B2Kb614lrq8Qu4dcDIA31/yCEdu+QAL+3m8VjKM97sN2HUCfdKyp1hWVLbrS4HXL32CD7v25+G+xwJw45LHWFdQyr9tfI1C1wjAU30O556BpwFw8+LfMqf7J3m6z+EA3PrRTF7sMZJn+xwKwORFM1hQPITz1s3Z9Tiop0dm0B6GZJWDWUseDgPy2cnBrG1X/qCtS8h3O4O82+nVS2Lf7asS7UfRtL48oMA10rdhc7vyZfU15KX08+jTsLXdcxhYv4FC10g+jjwcg8IPAUQ1pG7drrx6emQO7WFIVnmNvtSTj6ORBvJ5jb5ssK5MZPSuZdZaMc9cOYlXwu9hrCrqvevkdIPlU2/5uJReEou79tvt5PWH3frzzJU38mH42f13uw3a7fbnex3IKRvfSKwfxeslQ3fbhl/2/8xu785/MfBUgF39NJr2PJrcPfBUbv1o5q753zXwtN3ykyvO2W35PS90eMvQcYysXcZBW5fsmsNDfY/bdft/DPvCbss3dRJsMmn4JYysXcZxW97BgXp6ZBAVDMkqC62MB9xIKtnMU+zDQitrXz5mL4p0jRFHOvppJH0fLCyuYGb5cQzZsY4nyz6tw1EZQgVDss4RrAJod7FoErcXRbrGSHL9mXAfzOh/Yqz1S/qpYEjW+T7Htb2QZLwuO4PrpdXlFSY8k+xmZvnAXGC5c67VL/CoYEjWqTW9wGSDmxc/BCT35ccccg2wEGjz0soqGJJ1TnJLAXjRhiQ8E4nj6T6HJT2FrGdmFcBY4MfA+LaWV8FIwNvn/SBW/q4ZD6dpJtnpswSffnqR1gtGzYhe3uvY2SU/Vh6gvkcBy08rj5VvfMv/6s9sS7bJU1tm9RyV9BRywR3AJKB7lIXVD6Od0tEPI04eYO36DeqH0coY+TuC51hjUZdW8+tqGrzXX9aziHWbdnjnAfr0Lor1OPYtLmTjovZ9vyFV3J4g0LH9LAq31QJQ3624w9afjjEyuB/GYqA65U/3OOfuafrFzM4CznTOXWlmo4GJaT2HoX4Y6emHEScPwR6G+mG0PEb54D70G1rOWy+3/Fy78LYzmP43v0uHAFw6dijTn4n3ZbKLzxsW63G84rDBPJFgTxDo2H4WkxfNAFo/h6F+GK2qbqOB0nHA2WZ2JtAV6GFmM5xzLd7h+qa3ZJ2vnftJLrnggKSnITE9VXYET5WltWGcpHDO3eCcq3DOVQJfAF5orViAzmFIFjpm3LEUfWIYjH886alIDH/rsX/SU5A9aA9Dskqvfj3pdvxRFA0ZzMijRyQ9HYmhR0MtPRpqk55GTnDOVbV1/gJUMKQTy8vLIy9/95/jzzuK/Px8AE668JiP3Z6Xp6d8Z3Hj0se5can2EjOJDklJpzXq2BHcMOMa+g1t/qOp4649i3HX/utN05YNNfzkG7/gr4/9fW9NUWKY031fhm9fw8jaZV6XGGm6AGKc63mlY4xsordb0mkteOltLj/0Ol564h9tLvvm7He4/NDrVCw6iZG1y7h0zSzGbHqT2xdN53PVcwAor9/M5EUzOLRmEQDdq9cwedEMDty6GICKunVMXjSD09e/wq0fzeRLa17k9kXTOW3DqwB8YttqJi+awSe2BR/PH7FtBWPvuIVh29fsWu/kRTOoqFvHyNpl/PdHD/DfA4+PAAAL10lEQVSlNS9y60cz1cgJFQzp5LZsqOGH425j6lX3Urft49+L2NnYyIO3Ps74k77PmiXVzYwgmeigrUt29cMwHMO3t+97P/tuX7Vb/pPbVnnNIV89OXajgiFZ4Xd3/YnXqj7+WfrqD1fyy+89yM7GnQnMSnw19fRowKizgl3d+KoLezBp+CW8UjocgC3lQa+SN0qGAbCsSxmThl/C870O3C3/Qq/gY9YfduvPpOGX8GG3/kDQy+SZa29kcdd+QHCF3UnDL2FZl7JwDgU0YOrJEdI5DMkKxT2KOeQzH//uRb9PVlB5wFA+WqB3h51JNvT0yEYqGJIVjj37CIq6FLJt63amfed+Nq7exIT7rqBneQ9OGHeUCkYnlA09PbKNDklJVjhh3NF88OpHfOuI7/LHe5/n5d/P5ZsHT+SV59/ghHFHJz09kayggiGdXtfiLix9ZzlXH30DS99Zsevv61Zu4Lun3czzD/yVAcP7JThDkeygQ1LS6W2vrePe6x9o9jbnHA/995N7eUYi2Ul7GCIiEkm79jAO6DWIuTGa/1RVVfH26Iti5UfvO887D1C1rCpWXrJHtyfb/sJfS/KOK4u9/sLVNQy4Y7Z//rYzYs9BpD3a1UBp5MiRbtq0ad4ry4TmQ0nPQQ2UOr6B0t7Kx2nABFBWWpD4NmRyA6W9kU/HGBncQGleG/0w2q1dexglJSWdvvlQ0nNQA6WOb6C0t/JxGjABfPm4ssS3IZMbKO2NfLrGyBU66S0ikoHy6qBkcdp3XGLRSW8REYlEBUNERCJRwRARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFIVDBERCQSXXxQxFPpuxvjDZCGnhpxLT+tPFa+vkdBrDHqexRQft8q73xB9QjvrLSf+mF0sjyoH0Y6xsiIXhJlXRLfhjX1jd55gL7FhbGei32LC6npstk736OhlPXLk+3p0VH9MLr1H+L2/eJ47/yCn4xvtR+GmXUFZgFdCHYeHnXOtdohT/0wOlke1A8jHWNkRC+Jr+6T+DZMWx6vcF9x2OBYz8UrDhvM7MGzvPMnV5/IY3e9652HnO6HUQd8xjlXY2aFwEtm9kfn3N9bCuiQlIhIDnLB4aWa8NfC8KfVQ0466S0ikp3KzWxuys839lzAzPLN7FVgDfCcc25OawNqD0NEJDtVt9XT2znXCBxiZr2AJ8zsAOfcgpaW1x6GiEiOc85tBKqA01tbTgVDRCQHmVnfcM8CM+sGnAK83VpGh6RERHLTQODXZpZPsPPwsHPu6dYCKhgiIjnIOfc6cGh7MjokJSIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhKJ+mF0sjxkRj+M2P00lvj3QIDM6CWRDT09sqEfxuaCmrYX7MAxJk6cwLqF1Z2uH4YP9cPoZHnIjH4YcfOP3fWydx4yo5dENvT0yIZ+GM+X++fTNUau0CEpERGJRAVDREQiUcEQEZFIVDBERCQSXa1WRCQD5e+Anh/F+xRbumkPQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFIVDBERCQSFQwREYlEBUNERCJRP4xOls+EOaSlH8Y7a7zzkB29JPp1KWDD2u3+c+jbNdF80xjlfft452tqalhUu9U737+wiNX1O7zz6Rhj4oSJ1C1dmvZ+GKW9h7hDxlzjnf/bE9epH4b6YSQ/h3TkH77u1955yI5eEt/etz+P3fWmd37clZ9KNN80xvkXjPbOV1VVMeX9d7zz4wdVMGXFMu98usbIFTokJSIikahgiIhIJCoYIiI5yMyGmNlfzGyhmb1pZm2eMNHlzUVEclMDMME5N9/MugPzzOw559xbLQW0hyEikoOccyudc/PD/98CLAQGt5ZRwRARyXFmVgkcCsxpbTkdkhIRyU7lZjY35fd7nHP37LmQmZUCjwHXOuc2tzagCoaISHaqbuuLe2ZWSFAsHnDOPd7WgDokJSKSg8zMgPuAhc65KVEyKhgiIrnpOOBS4DNm9mr4c2ZrAR2SEhHJQc65l4B2XQNLexgiIhKJCoaIiESigiEiIpHoHIZ4OTXvAu/shbedkcaZJGfAHbPjDfCzc9MzkYQNv+N27+z4QRVpnIl0NDVQ6mT5TJhD3AZIcZsXpWOMpPMAvYf2yooGSitdvXc+bvMiNVBqmRooqflQRswhbgOkuM2L0jFG0nmAC392blY0UJqyY6V3Pm7zIjVQ2rt0DkNERCJRwRARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEn3TW0QkA+Vvb6D0vQ1JT2M32sMQEZFIVDBERCQSFQwREYlEBUNERCJRwRARkUhUMEREJBL1w+hk+UyYg/phpGcbBu7XL/bjsGRjrXe+b3Eha2v9e1k0jbGqIbl+FtncD6Nnt4HumH2/5p3/04L/VD+MbOglkQ3boH4Y8bfhey98K/bjMO2F97zzVxw2mGnzl3vnm8aYUp1cPwv1w9i7dEhKREQiUcEQEZFIVDBERCQSFQwREYlEBUNERCJRwRARyVFm9kszW2NmC6Isr4IhIpK77gdOj7qwCoaISI5yzs0C1kddXgVDREQiUcc9EZHsVG5mc1N+v8c5d0+cAVUwRESyU3W6ryWlQ1IiIhKJCoaISI4ysweBl4H9zGyZmX29teV1SEpEJEc55y5qz/Lqh9HJ8pkwh5qaGpav3uqdL+tZxIbFG7zzkJ5+FutqGrzzZT2LWLcpXh+Gwf1LYj8Oi2r9H4dM6CWRdD4dY6gfRgvUDyP5fCbMoaqqium/XOidv3TsUB7NgH4Y0/+2zjt/6dihTH9miXce4JZvfzr24zDl/Xe885nQSyLpfLrGyBU6hyEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhKJCoaIiESiy5uLiGQgt72OxjffTXoau9EehoiIRKI9DPGyqdL/qdPYxVh17bFpnE0ylp8Y7/3WG2tW89U7bvfOjx9UweSzZnrnCz64DFZ4x3c57pi3vLOl1eWx84uuneCdh+Ay8Ysu/Lx33r4zcV6sCXQiaqDUyfKZMIeamhqWbKz1zvctLmRtbb13HqBfYX7iDZRW7ky++VBh8SrvvNWVs3T7Tu980xy2Fm32zvdoKGVzQU2sfFnPMu88xP/3MGbMmLQ3KgLoYX3cUXayd/7/3KNqoJQNzYeyYRumvfCed/6KwwYzbf5y7zzAtwf3TLyB0pQtyTcfGrDPvd75gg8uY8qH/oW/aQ5zBs3yzp9cfSLPl8fLjxs9zjsP6fk3mSt0DkNERCJRwRARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDRCRHmdnpZvaOmb1vZte3tbwKhohIDjKzfODnwBnAKOAiMxvVWkYFQ0QkNx0JvO+c+9A5twP4LXBOawEVDBGR3DQYWJry+7Lwby3S5c1FRLJTuZnNTfn9HufcPSm/WzOZVi9froIhIpKdqtu4vPkyYEjK7xW00SFF/TA6WT4T5pB0Pl1zWNywxTvfjy6soc47DzDAimL3gojdS6JkpXceoGZbf0q7rY6X797XP58Bz6XO2g/DzAqAd4GTgeXAP4GLnXNvtpRRP4xOls+EOSSdT9ccpq73b5R2dd4Ipu6M12/5u10qY/eCiJs/94CfeucBZi24hhNjjDFrwTWMHn2Bdz4TnkudlXOuwcyuAv4E5AO/bK1YgA5JiYjkLOfcH4A/RF1en5ISEZFIVDBERCQSFQwREYlEBUNERCJRwRARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFI2tUPw8zWAos7bjoiIp3OMOecf1OPFpjZs0B5jCGqnXOnp2s+0M6CISIiuUuHpEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFIVDBERCSS/w+EEbSf/+miBwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QEZFIVDBERCQS3RqkB3rz3bVc95OY/Sh6uKG9N3HD/r/3zue9e0nsOcw8895Y+TWLZsSeQzr4z1fO8s5OyekP+N+tFuDAh74bKz8lZwx3vvBl7/zAA0uPiDWBHkT9MHpYHtKjn0Wq+2EMy8nDFdZ6562xjBU7dnvnB+UXkF+0xjsP0NQwOCP6YcTtS5LKfMsY9flbvfPTp09jw5JaizWJNux/cLH7wSMHeufPH71I/TBS3Usi1XlIj34Wqe6HcVPvCppj9mGY9V6Dd37q0EoGx9g+wNpFMzKiH0bcviSpzLeM8XzZ/FhjZAtdwxARyUJmdoCZvZTwtcXMruooo2sYIiJZyDn3JvARADPLBVYCD3eU0RGGiIicBLzrnFvW0UoqGCIi8hngN52tpIIhIpKZysxsQcLXV9paycwKgLOA33U2oK5hiIhkptqIb6s9HVjknFvb2Yo6whARyW4XEOF0FKhgiIhkLTMrAk4BHoqyvk5JiYhkKedcA1AadX0dYYiISCQqGCIiEokKhoiIRKKCISIikfS4i97JuPf9pTHGuH3gibG2D3Dw1B/Fyl/x4aGx55Bqb5xzfaz87PvvY9ZjF3rnpw4dCPjfrRZgRoztB3OIFQfg+GNf986W1JZxZJn/XYcBimqraHzb/3b9u4fm8Pr4ed75+Yuv5PWD/PMtY1w20v9utUcV1Mfafk/S4/phLGv2v289xL9//si8PrH3YfmmeE9UFb3yU97PIm6+rGyAdx5gXV1dyntJxMknaw7bCrZ45/s2l7AlL96TXd/mElY1NnvnB+UXUNFnpXe+fvsgSnp3+nmzbh1j+rTpLHh5h/phtJYO/TBmb1zonYf498+/veTE2Psw5+m3vfMQHGGkup9F3Py5507wzkN4hJHiXhJx8smawwtD/V8Zn1Q7nqdi9oE4qXY8s5b6N7KaOrSScw/6sXd+/uIrGR8jn6wxsoWuYYiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISSY/74J6ISDbY1FzE72sPizHCoqTNpYWOMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQi6drnMJoWs3vNh7w3Vtc4ld+9M807n9d4iXc2WV7btDpWA6YpOWOSOBs/OY27KHlrk3/+5GGx86cd9C3vPMCkbx8SK58MhSPi9ZLIydkda4ycnN0sWDnCO39sTgG1Xx7snQdovjyfA+7c6J3vdfkQcgbHuN3/G9Xx8kkYY+ErFq/nQg/SpQZKBx5Q6W7/2TXeG9vUMAhX6H/vfGssY+Vu/2YtEL+BUjLy6+tj7kPcBkp986lbv8M7P6C8V0rzAP2G9E55A6X1Fm8f0uGxuGlVvH1IxmOhrHygdz5uU7ZkjDFx4sSkNyoCKB1b7s64+2zv/Lxj7kptA6WSXrWxGo08+vJUmve/0zuf9+4lzN62zjsP8RsoJSN/+6I13nmI30Dp8ycP48HbXvPOT778wynNQ3CEkeoGSj/L838cQHo8Fv8Q8/eQjMfCuedN8M7HbcqWrDGyha5hiIhIJCoYIiISiQqGiIhEooIhIpKlzKy/mT1gZm+Y2RIzO7aj9XV7cxGR7PVj4Ann3LlmVgAUdbSyCoaISBYys77AeOALAM65nUCH7zXXKSkRkey0H7Ae+KWZvWhmd5pZcUcBFQwRkcxUZmYLEr6+0mp5HnA4MMc5dxiwDejwk9k6JSUikplqO/mkdw1Q45x7Ifz+ATopGDrCEBHJQs65NcAKMzsg/KeTgNc7yugIQ0Qke00B7gnfIfUe8MWOVlbBEBHJUs65l4DINyjUKSkREYlERxgp8Oqsb8TK//yu+5I0k54rd6dRstz/9U5umcXuRcFu77gkiNMbZfLlH0Y3mt131A8jBfny/v73/weora3L+n4Y/Qf3Zn1Dk3e+vCifdTn+c4j7OEjGGJnSDyOV/TRA/TC6Qv0wUpA/L+ZLop/fdV/W98M465pDmbNopXf+ssOHMbsodY+DZIyRKf0wUtlPA9QPoyt0DUNERCJRwRARkUhUMEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQi0b2kRETS0LamAv65ckSqp7EXHWGIiEgkKhgiIhKJCoaIiESiaxgpcOBD342V/3rhWDZX+f/qmvrmsfLUslj5Xa/HuFPr9v3j5QE4NGYeGpf739J699AcGlf55wGoiheXQJx+GqCeGl2hfhg9LA9QsbtX7F4QcfObltZ55wdU9qOuZrN3HqD/qAGx92FNs39PkUH5Baxt8s8DDC7IT/ljMRP6YcTtrRK3p0Z39cPoNXqYq5r5Ve/8m5OvVz+MTOiHEbePwtcbxsbuBRE3//DVf/LOn3/z6dwfIw/wqV+fF3sfZtXWeOenDq1k1ir/PMD0qqEpfyxmQj+MuL1VktFTI1voGoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJPqkt4hIljKz94GtwC6gubMP+qlgiIhkt4nOuUi34NApKRERiUQFQ0Qkezngz2a20My+0tnKOiUlIpKZysxsQcL3dzjn7mi1zvHOuVVmVgH8xczecM7Nb29AFQwRkcxU29lFbOfcqvC/68zsYeAooN2CoVNSIiJZyMyKzaxPy/8DpwKLO8p06Qhj8baBjHvuIu8JTsnpz+xXzoqVh3i3Ny/K38mRZcv987VVsfMx22FImjjgzo2x8gWXD6HqNv+eGgWXu9j5JxZ/3zsPUF1dDcS7vXg6iNOEqW+vwUckcSr70iDgYTODoBbc65x7oqNAlxooVY4e5a794X95zy4dmg8NtgK25NV75/s2l8TOr3HxGu+ogVJ6NFDavHq7dx5S3zwobuMggPr6elYv3xJrDunQQCnOGNOnTWPz9tUWaxJt6PENlGppTHnDl7jNh75ZWMVTZe2eouvUSbXjY+dnN77vnQc1UIL0aKD0eAY0H4rbOKi6upoHb3s+1hzSoYFS3DGyha5hiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIdIOxDTV8ev1zjG3wu7Ce6rxIW/RJb5EkG9tQw8yl88jB0WS53Ft+PEfWL+U7I86lIbcX4ze/zpkbF7Fg53cA+PimxZxW9xLXVl3ALsvlc2uf4TO1z+GAJsvl0YFHMmbHGq6tuhCAMzcu5Oitb/MSNwBw9oZ/cNi2ZXxnxHkAXLbqSc6sWwRh/tqqC1lSVLnPfw6SeXSEIZJkh2xbTh67ycWR53ZR1RjpztF7DG/cgOH25Ct3du0DgkOa6shJyB+yzf+DpiKJdIQhkmSvFI+g2XLJcbtotlz+MPCIvV7hz+83jvn9xjG5oBCAp/sfxNP9D9qz/KGyo/ho/TvkhfkHyo7ZK//YwCN4bOARTA6/f7T0KB4tPWrP8t+UnxAUrTD/SvGI7t1hyRoqGCJJtqSokhlVn+WQbct5pXhEl08HLSmq5NqqC2Pl/9L/YIbs3MQ9FR/T6ShJGhUMkW6wJr8/a/r3py6/xCu/pKgy1hN9n107qM/tpWIhSaWCIdINrq15BIAZo/xv1hnHD4Z/KiXblcymgiHSDe4rOzbVUxBJOhUMkW6wsM/+Kd3+heueBeDeihNSOg/JLD2uYNxwyO9j5ctrbmHe0Xd556urq2PniXm32rjGVVbw6kXne+erq6t5OInz8ZG/tp7Btz7nn7/5dA74pX8/i16XD+lweVlTcMvv2vy+3tuIo3LnhkjrxekDAcGdXqV7uJ057Fzhdw2su/S4fhh5vdd65wHym4ZTUuL/S6ivr4+dX9a81TsP8fthjOhfFHsfVr/p38gqGf0w4o4xoLIfdRv8H4ud9VCYdOuNADx+1XXeY8SdQ3fn02EO6bAP3dUPo3DEcDds2je880uvmqZ+GBX73+mdBxhQcwsTJkzwzldXV8fOz9640DsP8fthzD7rsNj7cP/Vv/LOJ6MfRtwxzr/5dB785bve+c56KLy38yMAvNjBOqnuBZEOvSRSnU/WGNmix52SEukJXiwZldLtX7zuGQDmVpyY0nlIZlHBEOkGg3cGLWzXFAxIyfbLm+Kd9hRpiwqGSDeYuvJxIHWfw5g17MyUbFcymwqGSDeYW/GxVE9BJOl0t1rJOGPdBj7j3mCsi/bW0g/kk9BLotlyGdewMmX9KKbX/J6ZS+eltJ+GenpkHh1hSEYZ6zZwC9Xk4Wgih+nuRNZQzLf4O7/lQBbYYMpdA5Num8l7uw7nxZJRDN5Zx9SVjzO34mM0Wy7//f495LtdNFku36z6LA05BXxt9Z+5c/DHeav3UPbbvpZJtz7Mi7uO473egxizfRWXrHmanw05lWW9Kjht44tMWf0EkJp+FGMbapi4+TUMx03v38tzfcawLbcXPxt6GgBfXf0XAGoJPkPxtVVP0JiTz52DTwLg28t/x1Fb38XCfh4vF4/knd6D91xAn1HzKDUFpXs+FHjNiod5r9cg7i8/DoDrlj/IhrwS/m3Ty+S7XQA8OvAI7hhyKgA3LPstL/T5EI8NPAKAm96/l2f6juWJgYcBMHPpPBYXDeecDS/s+T2op0d60BGGZJRDWU8ODgNy2c2hrO9S/pBty8l1u4O82+3VS2L0jjUp7UfRsr0cIM/torx5S5fypU315CT08xjYvK3LcxjSVEe+20UujhwcQ8M3AUQ1vHHDnrx6eqQPHWFIRnmZcprIxbGLZnJ5mXLqrBfTmbBnnfVWxOOXz+DF8HMYawoG7Lk43Wy5NFkuLqGXxLJeFXtdvH6v9yAev/w63gvfu/9W76F7LX+q/8GcvOnVlPWjeKV4xF778ItBH9/r1fnPh5wCsKefRsuRR4vbh5zCTe/fu2f+tw05da/8zMqz91q/9Y0ObxwxmbENNRyybfmeOdxXfvye5f858jN7rd/SSbDFjFEXMbahhuO3vokD9fRIIyoYklGWWCn3uLFUsYVH2Z8lVtq1fMxeFMkaI45k9NNI9c9gSVEl95Ydz/CdG3ik9KM6HZUmVDAk4xzJGoAuF4sWcXtRJGuMVG4/HX4G8waNj7V9ST4VDMk43+b4zleStFe4O7hfWmNOfopnktnMLBdYAKx0znX4AR4VDMk4DaYnmExww7L7gNR9+DGLXAksATq9tbIKhmScE90KAJ6x4SmeicTx2MDDUz2FjGdmlcAk4PvA1M7WV8FIgTfOuT5W/rZ59ydpJpnpEwTvfnqGjgtG/Zj+3tvYXZgbKw/Q1DePlaeWxcrvet3/7s9sT22Tp87M7zcu1VPIBrcCM4A+UVZWP4wuSkY/jDh5gPUb69QPo4MxcncGj7FdBYUd5jfUN3tvv7RfARs27/TOAwwcUBDr91helM+mpV37fEOiuD1BoHv7WeRvbwCgqXdRt20/GWOkcT+MZUBtwj/d4Zy7o+UbMzsTOMM5d7mZTQCmJ/UahvphJKcfRpw8BEcY6ofR/hhlwwZSMaKM159v/7F2/s2nM/dvfrcOAbh40gjmPh7vw2QXnjMy1u/xssOH8XAKe4JA9/azmLl0HtDxNQz1w+hQbScNlI4HzjKzM4BeQF8zm+eca/cHrk96S8b50qc+xEXnHZTqaUhMj5YeyaOlSW0YJwmcc9c65yqdc1XAZ4CnOyoWoGsYkoGOnXwcBfuNhKkPpXoqEsPf+h6Y6ilIKzrCkIzSv6IfvU84moLhwxh7zJhUT0di6NvcQN/mhlRPIys456o7u34BKhjSg+Xk5JCTu/fXCeccTW5uLgAnnn/sB5bn5Ogh31Nct+Ihrluho8R0olNS0mONO24M1867kooRbb81dfJVZzL5qn+9aNpaV8+PvvJz/u/Bv++rKUoML/QZzagd6xjbUON1i5GWGyDGuZ9XMsbIJHq5JT3W4mff4NLDrubZh//R6bqvPfcmlx52tYpFDzG2oYaL181n4ubXuGXpXD5Z+wIAZU1bmLl0HofVLwWgT+06Zi6dx8HblgFQ2biBmUvncdrGF7np/Xv53LpnuGXpXE6tewmA/bavZebSeey3PXh7/pjtq5h0642M3LFuz3ZnLp1HZeMGxjbU8N/v38Pn1j3DTe/fq0ZOqGBID7e1rp7vTr6Z2VfcSeP2D34uYveuXfzmpoeYeuK3Wbe8to3Lwz99AAALd0lEQVQRJB0dsm35nn4YhmPUjq597mf0jjV75T+0fY3XHHLVk2MvKhiSEX5/25O8XP3B99LXvreaX3zrN+zetTsFsxJfLT09mjEaLW9PN77a/L7MGHURL5aMAmBrWdCr5NXikQDUFJYyY9RFPNX/4L3yT/cP3mb9Xu9BzBh1Ee/1HgQEvUwev+o6lvWqAII77M4YdRE1haXhHPJoxtSTI6RrGJIRivoW8ZGPf/CzFxUfqqTqoBG8v1ivDnuSTOjpkYlUMCQjHHfWkRQU5rN92w7mfONuNq3dzLS7LqNfWV8+NvloFYweKBN6emQanZKSjPCxycfw7kvv87Ujv8mf7nyK5/+wgK8eOp0Xn3qVj00+JtXTE8kIKhjS4/UqKmTFmyuZcsy1rHhz1Z5/37C6jm+eegNP3fN/DB5VkcIZimQGnZKSHm9HQyN3XnNPm8ucc9z334/s4xmJZCYdYYiISCRdOsI4qP9QFsRo/lNdXc0bEy6IlZ8weqF3HqC6pjpWXjJH70c6/8Bfe3KOL429/fy19Qy+9Tn//M2nx56DSFd0qYHS2LFj3Zw5c7w3lg7Nh1I9BzVQ6v4GSvsqH6cBE0BpSV7K9yGdGyjti3wyxkjjBkoLO+mH0WVdOsIoLi7u8c2HUj0HNVDq/gZK+yofpwETwOePL035PqRzA6V9kU/WGNlCF71FRNJQTiMUL0v6gUssuugtIiKRqGCIiEgkKhgiIhKJCoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEopsPingqeWtTvAGS0FMjrpWnlsXKN/XNizVGU988yu5a453Pqx3jnZWuUz+MHpYH9cNIxhhp0UuitDDl+7CuaZd3HqC8KD/WY7G8KJ/6wi3e+b7NJWxcmdqeHt3VD6P3oOFu9GeneucX/2hqh/0wzKwXMB8oJDh4eMA512GHPPXD6GF5UD+MZIyRFr0kvrh/yvdhzsp4hfuyw4fFeixedvgwnhs23zt/Uu14HrztLe88ZHU/jEbg4865ejPLB541sz855/7eXkCnpEREspALTi/Vh9/mh18dnnLSRW8RkcxUZmYLEr6+0noFM8s1s5eAdcBfnHMvdDSgjjBERDJTbWc9vZ1zu4CPmFl/4GEzO8g5t7i99XWEISKS5Zxzm4Bq4LSO1lPBEBHJQmZWHh5ZYGa9gZOBNzrK6JSUiEh2GgL8ysxyCQ4e7nfOPdZRQAVDRCQLOedeAQ7rSkanpEREJBIVDBERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUT+MHpaH9OiHEbufxnL/HgiQHr0kMqGnRyb0w9iSV9/5it04xvTp09iwpLbH9cPwoX4YPSwP6dEPI27+wdue985DevSSyISeHpnQD+OpMv98ssbIFjolJSIikahgiIhIJCoYIiISiQqGiIhEorvVioikodyd0O/9eO9iSzYdYYiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgk6ofRw/LpMIek9MN4c513HjKjl0RFYR5163f4z6G8V0rzLWOUlQ/0ztfX17O0YZt3flB+AWubdnrnkzHG9GnTaVyxIun9MEoGDHcfmXild/5vD1+tfhjqh5H6OSQjf//Vv/LOQ2b0kvj66EE8eNtr3vnJl384pfmWMc49b4J3vrq6mlnvvOmdnzq0klmrarzzyRojW+iUlIiIRKKCISIikahgiIhkITMbbmZ/NbMlZvaamXV6wUS3NxcRyU7NwDTn3CIz6wMsNLO/OOdeby+gIwwRkSzknFvtnFsU/v9WYAkwrKOMCoaISJYzsyrgMOCFjtbTKSkRkcxUZmYLEr6/wzl3R+uVzKwEeBC4yjm3paMBVTBERDJTbWcf3DOzfIJicY9z7qHOBtQpKRGRLGRmBtwFLHHOzYqSUcEQEclOxwMXAx83s5fCrzM6CuiUlIhIFnLOPQt06R5YOsIQEZFIVDBERCQSFQwREYlE1zDEyyk553lnz7/59CTOJHUG3/pcvAF++qnkTCTFRt16i3d26tDKJM5EupsaKPWwfDrMIW4DpLjNi5IxRqrzAANG9M+IBkqrXZN3Pm7zIjVQap8aKKn5UFrMIW4DpLjNi5IxRqrzAOf/9FMZ0UBp1s7V3vm4zYvUQGnf0jUMERGJRAVDREQiUcEQEZFIVDBERCQSFQwREYlEBUNERCJRwRARkUj0SW8RkTSUu6OZkrfrUj2NvegIQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDREQiUcEQEZFI1A+jh+XTYQ7qh5GcfRhyQEXs38PyTQ3e+fKifNY3+PeyaBljTXPq+llkcj+Mfr2HuGNHf8k7/+Ti/1I/jEzoJZEJ+6B+GPH34VtPfy3272HO02975y87fBhzFq30zreMMas2df0s1A9j39IpKRERiUQFQ0REIlHBEBGRSFQwREQkEhUMERGJRAVDRCRLmdkvzGydmS2Osr4KhohI9robOC3qyioYIiJZyjk3H9gYdX0VDBERiUQd90REMlOZmS1I+P4O59wdcQZUwRARyUy1yb6XlE5JiYhIJCoYIiJZysx+AzwPHGBmNWb25Y7W1ykpEZEs5Zy7oCvrqx9GD8unwxzq6+tZuXabd760XwF1y+q885CcfhYb6pu986X9CtiwOV4fhmGDimP/HpY2+P8e0qGXRKrzyRhD/TDaoX4Yqc+nwxyqq6uZ+4sl3vmLJ43ggTTohzH3bxu88xdPGsHcx5d75wFu/PpHY/8eZr3zpnc+HXpJpDqfrDGyha5hiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhKJCoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikej25iIiacjtaGTXa2+lehp70RGGiIhEoiMM8bK5yv+hs6vQWHPVcUmcTWqsHB/v9dar69byxVtv8c5PHVoZa/vp4vhjX/fOltSWsfSqabG2X11dzdLzP+2dt29MXxhrAj2IGij1sHw6zKG+vp7lmxq88+VF+axvaPLOA1Tk56a8gdLq3Wo+lIw5bCvY4p3v21xCab9S7zzE/3uYOHFi0hsVAfS1ge5oO8k7/7/uATVQyoTmQ5mwD3Oefts7f9nhw5izaKV3HuDrw/qlvIHSrK1qPpSMObwwdL53/qTa8UyeMNk7D8n5m8wWuoYhIiKRqGCIiEgkKhgiIhKJCoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISKSpczsNDN708zeMbNrOltfBUNEJAuZWS7wM+B0YBxwgZmN6yijgiEikp2OAt5xzr3nnNsJ/BY4u6OACoaISHYaBqxI+L4m/Ld26fbmIiKZqczMFiR8f4dz7o6E762NTIe3L1fBEBHJTLWd3N68Bhie8H0lsKqjAdUPo4fl02EOqc4naw7Lmrd65ysoZB2N3nmAwVbAlrx673zf5pKU5lvGKC1e7Z2v3z6Ikj7l/vk0eCz11H4YZpYHvAWcBKwE/glc6Jx7rb2M+mH0sHw6zCHV+WTNYfZG/0ZpU3LGMHt3vH7L3yys4qmyeL0gUplvGeNTB/3YOz9/8ZVMmHCedz4dHks9lXOu2cyuAJ4EcoFfdFQsQKekRESylnPuj8Afo66vd0mJiEgkKhgiIhKJCoaIiESigiEiIpGoYIiISCQqGCIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkXeqHYWbrgWXdNx0RkR5npHPOv6lHO8zsCaAsxhC1zrnTkjUf6GLBEBGR7KVTUiIiEokKhoiIRKKCISIikahgiIhIJCoYIiISiQqGiIhEooIhIiKRqGCIiEgkKhgiIhLJ/wPB2Fae5oRxgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SXFnPDVy/1xOB8zmfXhR6DtNPnRMqv2r+tNBzKFoa/DVfdomF3j7AL269IHB24phiKAh+t1qAfR/5eaj8pKyR3PHG9wLn++9bfEioCaQQ9cNIsTwkRz+LqPthDMnKweXXBM5bYwnLtu4InB+Ym0duQfA+EABNDYMi7WdRWpDL2obw/TDCjFFakMuarODPhbB9UVrGqMvdHDg/deoU1i2sSUz1jbPX/oXuV4/tGzh/9oj56ocRdS+JqPOQHP0sou6HcWPPATTvFa4Pw4zPGgLnJ5eVMyjE9gFWz58WaT+LiWOGMGv+8sD5RIwxccwQZhaE62sSpi9KyxivlbwUaoxMoWsYIiIZyMz2MbO34742mdkVHWV0DUNEJAM55xYBBwGYWTawHHi0o4yOMERE5HjgU+fcko5WUsEQEZFzgfs6W0kFQ0QkPZWY2dy4r4vbWsnM8oDTgAc7G1DXMERE0lONz7fVngzMd86t7mxFHWGIiGS28/BxOgpUMEREMpaZFQBfAR7xs75OSYmIZCjnXANQ7Hd9HWGIiIgvKhgiIuKLCoaIiPiigiEiIr6k3EXvRNz7/pIQY9zW/7hQ2wfYf/JvQuUv+0JZ6DlE7cMzrg2Vn/nA/cx48vzA+cll/YHgd6sFmBZi+wBX9YIhLwW/xXreeOizuDlwPvsLLlS+ZYy6YcH3YXueo3Fp8Nv97yjLonFFuHYBO8qyeOW10YHzdXXPhtp+Kkm5fhhLmoPftx7C3z9/j5xeofdh6YZwf6gG9MiNvJ9F2HxJSb/AeYA1tbWhe0lEmQcYnBX97yFMvmWMlTtS+/cQdoypU6bSuGyZ+mG0lgz9MGaunxc4D+Hvn39b0XGh92HWCx8HzkPsCCPqfhZh82eeOTZwHrwjjJC9JKLMA1zVqzzy30OYfMsYMzan9u8hEWNkCl3DEBERX1QwRETEFxUMERHxRQVDRER8UcEQERFfVDBERMSXlPvgnohIJtjQXMATNQeHGGF+wubSQkcYIiLiiwqGiIj4ooIhIiK+qGCIiIgvKhgiIuKLCoaIiPiigiEiIr507XMYTQvYsWrvwBurbZzMg59MCZzPabwocDZR3t+wMlQDpklZIxM4m2CyGrdT9NGG4PkThoTOn7TfTwPnAcb/7IBQ+UTIH1YXKt+ctYOaC4L3RklEPszvEWK/y33uWB843+PSwVRdEfxvQmVlJVVnnxM4n4gx7MdTw/VcSCFdaqC07z7l7rY/XBV4YxsaBuLyawLnrbGE5TvCdQgL20ApEfm1dSH3IWwDpd651K7dGjjfr7RHpHmAPoN7Rt5Aaa2F24dkeC5uWBFuHxLxXCgp7R84H7YpWyLGGDduXMIbFQEUjyp1p9x9euD87CPujLaBUlGPGo7d77eBN/b4O5Np3uuOwPmcTy9iZv2awHkI30ApEfnb5q8KnIfwDZS+dcIQHr71/cD5CZd+IdI8xI4wom6g9Iec4M8DSI7n4t9D/h4S8Vw486yxgfNhm7IlaoxMoWsYIiLiiwqGiIj4ooIhIiK+qGCIiGQoM+trZg+Z2YdmttDMjuxofd3eXEQkc/0WeNo5d6aZ5QEFHa2sgiEikoHMrDdwLPBtAOfcNqDD95rrlJSISGbaE1gL/NnM3jKzO8yssKOACoaISHoqMbO5cV8Xt1qeA4wBZjnnDgbqgQ4/ma1TUiIi6ammk096VwPVzrk3vO8fopOCoSMMEZEM5JxbBSwzs328Hx0PfNBRRkcYIiKZaxJwr/cOqc+A73S0sgqGiEiGcs69Dfi+QaFOSYmIiC86wojAezN+HCr/xzvvT9BMUlf2NqNoafDXO9klFqqfRVbWDtgROC5xwvRGmXDpF9CNZncf9cOIIF/aN/j9/wFqamozvh9G30E9WdvQFDhfWpDLmqzgcwj7PEjEGOnSDyPKfhqgfhhdoX4YEeTPCvmS6I933p/x/TBOu+pAZs1fHjg/ccwQZhZE9zxIxBjp0g8jyn4aoH4YXaFrGCIi4osKhoiI+KKCISIivqhgiIiILyoYIiLiiwqGiIj4ooIhIiK+qGCIiIgvKhgiIuKL7iUlIpKE6pvy+PfyYVFPYxc6whAREV9UMERExBcVDBER8UXXMCKw7yM/D5X/Uf4oNlYE/9U19c5h+YklofLbPwhxp9Yte4XLA3BgyDw0Lg1+S+sdZVk0rgieB6AiXFxiwvTTAPXU6Ar1w0ixPMCAHT1C94IIm99QVRs436+8D7XVGwPnAfoO7xd6H1Y1B+8pMjA3j9VNwfMAg/JyI38upkM/jLC9VcL21Oiufhg9RgxxFdN/EDi/aMK16oeRDv0wwvZR+FHDqNC9IMLmH73yn4HzZ990Mg+EyAN8/a9nhd6HGTXVgfOTy8qZsSJ4HmBqRVnkz8V06IcRtrdKInpqZApdwxAREV9UMERExBcVDBER8UUFQ0REfFHBEBERX1QwRETEFxUMERHxRZ/0FhHJUGa2GNgMbAeaO/ugnwqGiEhmG+ec83ULDp2SEhERX1QwREQylwOeNbN5ZnZxZyvrlJSISHoqMbO5cd/f7py7vdU6RzvnVpjZAOA5M/vQOfdSewOqYIiIpKeazi5iO+dWeP9dY2aPAocB7RYMnZISEclAZlZoZr1a/g2cCCzoKNOlI4wF9f0Z/eoFgSc4KasvM989LVQewt3evCB3G4eWLA2er6kInQ/ZDkOSxD53rA+Vz7t0MBW3Bu+pkXepC51/esEvA+cBKisrgXC3F08GYZow9e4x6JAETmV3Ggg8amYQqwVznHNPdxToUgOl8hHD3dX//V+BZ5cMzYcGWR6bcuoC53s3F4XOr3LhGu+ogVJyNFDauHJL4DxE3zwobOMggLq6OlYu3RRqDsnQQCnMGFOnTGHjlpUWahJtSPkGSjU0Rt7wJWzzoZ/kV/B8Sbun6Dp1fM2xofMzGxcHzoMaKEFyNFB6Kg2aD4VtHFRZWcnDt74Wag7J0EAp7BiZQtcwRETEFxUMERHxRQVDRER8UcEQERFfVDBEusGohmrOWfsqoxqCXViPOi/SFn3SWyTBRjVUM71qNlk4miybOaVHc2hdFdcNO5OG7B4cu/EDTl0/n7nbrgPgyxsWcFLt21xdcR7bLZtvrn6Rc2texQFNls3j/Q9l5NZVXF1xPgCnrp/H4Zs/5m2uB+D0dW9ycP0Srht2FgATVzzDqbXzwctfXXE+CwvKd/vjIOlHRxgiCXZA/VJy2EE2jhy3nYpGX3eO3mlo4zoMtzNfvq1rHxAc3FRLVlz+gPrgHzQViacjDJEEe7dwGM2WTZbbTrNl8/f+h+zyCv+lPqN5qc9oJuTlA/BC3/14oe9+O5c/UnIYX6z7hBwv/1DJEbvkn+x/CE/2P4QJ3vePFx/G48WH7Vx+X+kxsaLl5d8tHNa9OywZQwVDJMEWFpQzreIbHFC/lHcLh3X5dNDCgnKurjg/VP65vvszeNsG7h3wJZ2OkoRRwRDpBqty+7Kqb19qc4sC5RcWlIf6Q99r+1bqsnuoWEhCqWCIdIOrqx8DYNrw4DfrDONXQ78eyXYlvalgiHSD+0uOjHoKIgmngiHSDeb12ivS7Z+/5mUA5gw4JtJ5SHpJuYJx/QFPhMqXVt/M7MPvDJyvrKwMnSfk3WrDGl0+gPcuODtwvrKykkcTOJ8gclfXMeiWV4PnbzqZff4cvJ9Fj0sHd7i8pCl2y++a3N6BtxFG+bZ1vtYL0wcCYnd6le7htmWxbVmwa2DdJeX6YeT0XB04D5DbNJSiouC/hLq6utD5Jc2bA+chfD+MYX0LQu/DykXBG1kloh9G2DH6lfehdl3w52JnPRTG33IDAE9dcU3gMcLOobvzyTCHZNiH7uqHkT9sqBsy5ceB81VXTFE/jAF73RE4D9Cv+mbGjh0bOF9ZWRk6P3P9vMB5CN8PY+ZpB4fehweu/EvgfCL6YYQd4+ybTubhP38aON9ZD4XPth0EwFsdrBN1L4hk6CURdT5RY2SKlDslJZIK3ioaHun2L1zzIgD3DDgu0nlIelHBEOkGg7bFWtiuyusXyfZLm8Kd9hRpiwqGSDeYvPwpILrPYcwYcmok25X0poIh0g3uGfClqKcgknC6W62knVFuHee6Dxnl/L219HP5BPSSaLZsRjcsj6wfxdTqJ5heNTvSfhrq6ZF+dIQhaWWUW8fNVJKDo4ksprrjWEUhP+V1/sa+zLVBlLoGxt86nc+2j+GtouEM2lbL5OVPcc+AL9Fs2fx68b3kuu00WTY/qfgGDVl5/HDls9wx6Mt81LOMPbesZvwtj/LW9qP4rOdARm5ZwUWrXuAPg09kSY8BnLT+LSatfBqIph/FqIZqxm18H8Nx4+I5vNprJPXZPfhD2UkA/GDlcwDUEPsMxQ9XPE1jVi53DDoegJ8tfZDDNn+Kef083incg096Dtp5AX1a9eNU5xXv/FDgVcse5bMeA3mg9CgArln6MOtyiviPDe+Q67YD8Hj/Q7h98IkAXL/kb7zRa2+e7H8IADcunsOLvUfxdP+DAZheNZsFBUM5Y90bO38P6umRHHSEIWnlQNaShcOAbHZwIGu7lD+gfinZbkcs73YE6iUxYuuqSPtRtGwvC8hx2ylt3tSlfHFTHVlx/Tz6N9d3eQ6Dm2rJddvJxpGFo8x7E4BfQxvX7cyrp0fy0BGGpJV3KKWJbBzbaSabdyil1nowlbE711lrBTx16TTe8j6HsSqv386L082WTZNl4+J6SSzpMWCXi9ef9RzIU5dew2fee/c/6lm2y/Ln++7PCRvei6wfxbuFw3bZh7sGfnmXV+d/HPwVgJ39NFqOPFrcNvgr3Lh4zs753zr4xF3y08tP32X91jc6vGHYBEY1VHNA/dKdc7i/9Oidy/9zj3N3Wb+lk2CLacMvYFRDNUdvXoQD9fRIIioYklYWWjH3ulFUsInH2YuFVty1fMheFIkaI4xE9NOI+jFYWFDOnJKjGbptHY8Vf1Gno5KECoaknUNZBdDlYtEibC+KRI0R5faT4TGYPfDYUNuXxFPBkLTzM47ufCVJevk7YvdLa8zKjXgm6c3MsoG5wHLnXIcf4FHBkLTTYPoDkw6uX3I/EN2HHzPI5cBCoNNbK6tgSNo5zi0D4EUbGvFMJIwn+4+Jegppz8zKgfHAL4HJna2vghGBD8+4NlT+1tkPJGgm6emrxN799CIdF4y6kX0Db2NHfnaoPEBT7xyWn1gSKr/9g+B3f2ZLtE2eOvNSn9FRTyET3AJMA3r5WVn9MLooEf0wwuQB1q6vVT+MDsbI3hZ7jm3Py+8wv66uOfD2i/vksW7jtsB5gP798kL9HksLctlQ1bXPN8QL2xMEurefRe6WBgCaehZ02/YTMUYS98NYAtTE/eh259ztLd+Y2anAKc65S81sLDA1odcw1A8jMf0wwuQhdoShfhjtj1EypD8DhpXwwWvtP9fOvulk7nkl2K1DAC4cP4x7ngr3YbLzz9gj1O9x4pghPBphTxDo3n4W06tmAx1fw1A/jA7VdNJA6WjgNDM7BegB9Daz2c65dh9wfdJb0s53v743F5y1X9TTkJAeLz6Ux4sT2jBO4jjnrnbOlTvnKoBzgRc6KhagaxiSho6ccBR5e+4Bkx+JeioSwiu99416CtKKjjAkrfQd0IeexxxO3tAhjDpiZNTTkRB6NzfQu7kh6mlkBOdcZWfXL0AFQ1JYVlYWWdm7fh1zxuFkZ2cDcNzZR35ueVaWnvKp4pplj3DNMh0lJhOdkpKUNfqokVw9+3IGDGv7rakTrjiVCVf834umzbV1/ObiP/K/D7++u6YoIbzRawTDt65hVEN1oFuMtNwAMcz9vBIxRjrRyy1JWQte/pBLDr6Slx99s9N13391EZccfKWKRYoY1VDNhWteYtzG97m56h6+VvMGACVNm5heNZuD66oA6FWzhulVs9m/fgkA5Y3rmF41m5PWv8WNi+fwzTUvcnPVPZxY+zYAe25ZzfSq2ey5Jfb2/JFbVjD+lhvYY+uandudXjWb8sZ1jGqo5teL7+Wba17kxsVz1MgJFQxJcZtr6/j5hJuYedkdNG75/Ocidmzfzn03PsLk437GmqU1bYwgyeiA+qU7+2EYjuFbu/a5nxFbV+2S33vLqkBzyFZPjl1a9J0TAAALPklEQVSoYEhaeOLWZ3in8vPvpa/5bCV3/fQ+dmzfEcGsJKiWnh7NGI2Ws7MbX01ub6YNv4C3ioYDsLkk1qvkvcI9AKjOL2ba8At4vu/+u+Rf6Bt7m/VnPQcybfgFfNZzIBDrZfLUFdewpMcAIHaH3WnDL6A6v9ibQw7NmHpyeHQNQ9JCQe8CDvry5z97MWDvcir2G8biBXp1mErSoadHOlLBkLRw1GmHkpefy5b6rcz68d1sWL2RKXdOpE9Jb7404XAVjBSUDj090o1OSUla+NKEI/j07cX88NCf8M87nue1v8/lBwdO5a3n3+NLE46IenoiaUEFQ1Jej4J8li1azqQjrmbZohU7f75uZS0/OfF6nr/3fxk0fECEMxRJDzolJSlva0Mjd1x1b5vLnHPc/+vHdvOMRNKTjjBERMSXLh1h7Ne3jLkhmv9UVlby4djzQuXHjpgXOA9QWV0ZKi/po+djnX/grz1ZRxeH3n7u6joG3fJq8PxNJ4eeg0hXdKmB0qhRo9ysWbMCbywZmg9FPQc1UOr+Bkq7Kx+mARNAcVFO5PuQzA2Udkc+EWMkcQOleZ30w+iyLh1hFBYWpnzzoajnoAZK3d9AaXflwzRgAvjW0cWR70MyN1DaHflEjZEpdNFbRCQJZTVC4ZKEH7iEooveIiLiiwqGiIj4ooIhIiK+qGCIiIgvKhgiIuKLCoaIiPiigiEiIr6oYIiIiC8qGCIi4osKhoiI+KKCISIivqhgiIiIL7r5oEhARR9tCDdAAnpqhLX8xJJQ+abeOaHGaOqdQ8mdqwLnc2pGBs5K16kfRorlQf0wEjFGUvSSKM6PfB/WNG0PnAcoLcgN9VwsLcilLn9T4Hzv5iLWL4+2p0d39cPoOXCoG/GNyYHzC34zucN+GGbWA3gJyCd28PCQc67DDnnqh5FieVA/jESMkRS9JL6zV+T7MGt5uMI9ccyQUM/FiWOG8OqQlwLnj685lodv/ShwHjK6H0Yj8GXnXJ2Z5QIvm9k/nXOvtxfQKSkRkQzkYqeX6rxvc72vDk856aK3iEh6KjGzuXFfF7dewcyyzextYA3wnHPujY4G1BGGiEh6qumsp7dzbjtwkJn1BR41s/2ccwvaW19HGCIiGc45twGoBE7qaD0VDBGRDGRmpd6RBWbWEzgB+LCjjE5JiYhkpsHAX8wsm9jBwwPOuSc7CqhgiIhkIOfcu8DBXcnolJSIiPiigiEiIr6oYIiIiC8qGCIi4osKhoiI+KKCISIivqhgiIiIL+qHkWJ5SI5+GKH7aSwN3gMBkqOXRDr09EiHfhibcuo6X7Ebx5g6dQrrFtakXD+MINQPI8XykBz9MMLmH771tcB5SI5eEunQ0yMd+mE8XxI8n6gxMoVOSYmIiC8qGCIi4osKhoiI+KKCISIivuhutSIiSSh7G/RZHO5dbImmIwwREfFFBUNERHxRwRAREV9UMERExBcVDBER8UUFQ0REfFHBEBERX1QwRETEFxUMERHxRf0wUiyfDHNISD+MRWsC5yE9ekkMyM+hdu3W4HMo7RFpvmWMktL+gfN1dXVUNdQHzg/MzWN107bA+USMMXXKVBqXLUt4P4yifkPdQeMuD5x/5dEr1Q9D/TCin0Mi8g9c+ZfAeUiPXhI/GjGQh299P3B+wqVfiDTfMsaZZ40NnK+srGTGJ4sC5yeXlTNjRXXgfKLGyBQ6JSUiIr6oYIiIiC8qGCIiGcjMhprZ/5jZQjN738w6vWCi25uLiGSmZmCKc26+mfUC5pnZc865D9oL6AhDRCQDOedWOufme//eDCwEhnSUUcEQEclwZlYBHAy80dF6OiUlIpKeSsxsbtz3tzvnbm+9kpkVAQ8DVzjnNnU0oAqGiEh6qunsg3tmlkusWNzrnHukswF1SkpEJAOZmQF3AgudczP8ZFQwREQy09HAhcCXzext7+uUjgI6JSUikoGccy8DXboHlo4wRETEFxUMERHxRQVDRER80TUMCeQrWWcFzp5908kJnEl0Bt3yargBfv/1xEwkYsNvuTlwdnJZeQJnIt1NDZRSLJ8McwjbACls86JEjBF1HqDfsL5p0UBppWsKnA/bvEgNlNqnBkpqPpQUcwjbACls86JEjBF1HuDs3389LRoozdi2MnA+bPMiNVDavXQNQ0REfFHBEBERX1QwRETEFxUMERHxRQVDRER8UcEQERFfVDBERMQXfdJbRCQJZW9tpujj2qinsQsdYYiIiC8qGCIi4osKhoiI+KKCISIivqhgiIiILyoYIiLii/phpFg+GeagfhiJ2YfB+wwI/XtYuqEhcL60IJe1DcF7WbSMsao5un4W6dwPo0/Pwe7IEd8NnH9mwX+pH0Y69JJIh31QP4zw+/DTF34Y+vcw64WPA+cnjhnCrPnLA+dbxphRE10/C/XD2L10SkpERHxRwRAREV9UMERExBcVDBER8UUFQ0REfFHBEBHJUGZ2l5mtMbMFftZXwRARyVx3Ayf5XVkFQ0QkQznnXgLW+11fBUNERHxRxz0RkfRUYmZz476/3Tl3e5gBVTBERNJTTaLvJaVTUiIi4osKhohIhjKz+4DXgH3MrNrMvtfR+jolJSKSoZxz53VlffXDSLF8Msyhrq6O5avrA+eL++RRu6Q2cB4S089iXV1z4HxxnzzWbQzXh2HIwMLQv4eqhuC/h2ToJRF1PhFjqB9GO9QPI/p8MsyhsrKSe+5aGDh/4fhhPJQE/TDueWVd4PyF44dxz1NLA+cBbvjRF0P/HmZ8sihwPhl6SUSdT9QYmULXMERExBcVDBER8UUFQ0REfFHBEBERX1QwRETEFxUMERHxRQVDRER8UcEQERFfVDBERMQXFQwREfFFBUNERHxRwRAREV90e3MRkSTktjay/f2Pop7GLnSEISIivugIQwLZWBH8qbM931h1xVEJnE00lh8b7vXWe2tW851bbg6cn1xWHmr7yeLoIz8InC2qKaHqiimhtl9ZWUnV2ecEztuPp84LNYEUogZKKZZPhjnU1dWxdEND4HxpQS5rG5oC5wEG5GZH3kBp5Q41H0rEHOrzNgXO924uorhPceA8hP//Ydy4cQlvVATQ2/q7w+34wPl/uYfUQCkdmg+lwz7MeuHjwPmJY4Ywa/7ywHmAHw3pE3kDpRmb1XwoEXN4o+ylwPnja45lwtgJgfOQmP8nM4WuYYiIiC8qGCIi4osKhoiI+KKCISIivqhgiIiILyoYIiLiiwqGiIj4ooIhIiK+qGCIiGQoMzvJzBaZ2SdmdlVn66tgiIhkIDPLBv4AnAyMBs4zs9EdZVQwREQy02HAJ865z5xz24C/Aad3FFDBEBHJTEOAZXHfV3s/a5duby4ikp5KzGxu3Pe3O+duj/ve2sh0ePtyFQwRkfRU08ntzauBoXHflwMrOhpQ/TBSLJ8Mc4g6n6g5LGneHDg/gHzW0Bg4DzDI8tiUUxc437u5KNJ8ouYQpp9FMjyXUrUfhpnlAB8BxwPLgX8D5zvn3m8vo34YKZZPhjlEnU/UHGauD94obVLWSGbuCNdv+Sf5FTxfEq4XRJT5RM0hTD+LZHgupSrnXLOZXQY8A2QDd3VULECnpEREMpZz7h/AP/yur3dJiYiILyoYIiLiiwqGiIj4ooIhIiK+qGCIiIgvKhgiIuKLCoaIiPiigiEiIr6oYIiIiC8qGCIi4osKhoiI+KKCISIivqhgiIiIL13qh2Fma4El3TcdEZGUs4dzrjTRg5rZ00BJiCFqnHMnJWo+0MWCISIimUunpERExBcVDBER8UUFQ0REfFHBEBERX1QwRETEFxUMERHxRQVDRER8UcEQERFfVDBERMSX/w8wgbIO2Ehm+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# display a particular solution and save to .png\n",
    "for t in timesteps:\n",
    "    tstr = str(t).zfill(2)\n",
    "    print_soln(dist[t], solnspec=((10,19),t),\n",
    "               title=\"Backtracking from endpoint, \" + tstr + \" steps\",\n",
    "               fname=\"gridplot_\" + tstr + \".png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}