From 37506402a98eba9bf9d06760a1010fa17adb39e4 Mon Sep 17 00:00:00 2001
From: chzhang <zch921005@126.com>
Date: Mon, 20 Feb 2023 23:43:44 +0800
Subject: sarsa

---
 rl/tutorials/05_value_iteration_sarsa.ipynb | 2034 +++++++++++++++++++++++++++
 1 file changed, 2034 insertions(+)
 create mode 100644 rl/tutorials/05_value_iteration_sarsa.ipynb

(limited to 'rl/tutorials')

diff --git a/rl/tutorials/05_value_iteration_sarsa.ipynb b/rl/tutorials/05_value_iteration_sarsa.ipynb
new file mode 100644
index 0000000..2f28a1b
--- /dev/null
+++ b/rl/tutorials/05_value_iteration_sarsa.ipynb
@@ -0,0 +1,2034 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:09:34.179156Z",
+     "start_time": "2023-02-20T15:09:33.559589Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import gym\n",
+    "import matplotlib.pyplot as plt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:09:36.809994Z",
+     "start_time": "2023-02-20T15:09:36.373146Z"
+    },
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 360x360 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig = plt.figure(figsize=(5, 5))\n",
+    "ax = plt.gca()\n",
+    "ax.set_xlim(0, 3)\n",
+    "ax.set_ylim(0, 3)\n",
+    "\n",
+    "# plt.plot([1, 1], [0, 1], color='red', linewidth=2)\n",
+    "# plt.plot([1, 2], [2, 2], color='red', linewidth=2)\n",
+    "# plt.plot([2, 2], [2, 1], color='red', linewidth=2)\n",
+    "# plt.plot([2, 3], [1, 1], color='red', linewidth=2)\n",
+    "\n",
+    "plt.plot([2, 3], [1, 1], color='red', linewidth=2)\n",
+    "plt.plot([0, 1], [1, 1], color='red', linewidth=2)\n",
+    "plt.plot([1, 1], [1, 2], color='red', linewidth=2)\n",
+    "plt.plot([1, 2], [2, 2], color='red', linewidth=2)\n",
+    "\n",
+    "plt.text(0.5, 2.5, 'S0', size=14, ha='center')\n",
+    "plt.text(1.5, 2.5, 'S1', size=14, ha='center')\n",
+    "plt.text(2.5, 2.5, 'S2', size=14, ha='center')\n",
+    "plt.text(0.5, 1.5, 'S3', size=14, ha='center')\n",
+    "plt.text(1.5, 1.5, 'S4', size=14, ha='center')\n",
+    "plt.text(2.5, 1.5, 'S5', size=14, ha='center')\n",
+    "plt.text(0.5, 0.5, 'S6', size=14, ha='center')\n",
+    "plt.text(1.5, 0.5, 'S7', size=14, ha='center')\n",
+    "plt.text(2.5, 0.5, 'S8', size=14, ha='center')\n",
+    "plt.text(0.5, 2.3, 'START', ha='center')\n",
+    "plt.text(2.5, 0.3, 'GOAL', ha='center')\n",
+    "# plt.axis('off')\n",
+    "plt.tick_params(axis='both', which='both', \n",
+    "                bottom=False, top=False, \n",
+    "                right=False, left=False,\n",
+    "                labelbottom=False, labelleft=False\n",
+    "               )\n",
+    "line, = ax.plot([0.5], [2.5], marker='o', color='g', markersize=60)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-19T01:21:55.938956Z",
+     "start_time": "2023-02-19T01:21:55.936601Z"
+    }
+   },
+   "source": [
+    "## basics"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- 基本概念及术语\n",
+    "    - algorithm\n",
+    "        - policy iteration\n",
+    "            - policy gradient\n",
+    "        - value iteration\n",
+    "            - sarsa： state, action, reward, state, action\n",
+    "                - Q-table：待学习（learning/iteration update)\n",
+    "                    - row index: state; column index: action;\n",
+    "                    - 不是概率分布，是 value\n",
+    "            - q-learning\n",
+    "    - reward\n",
+    "        - 特定时间 $t$ 给到的奖励 $R_t$ 称为即时奖励（immediate reward）\n",
+    "        - 未来的总奖励 $G_t$\n",
+    "            - $G_t=R_{t+1}+R_{t+2}+R_{t+3}+\\cdots$\n",
+    "            - $G_t=R_{t+1}+\\gamma R_{t+2}+\\gamma^2R_{t+3} + \\cdots + \\gamma^kR_{t+k+1}\\cdots$\n",
+    "        - 举例\n",
+    "            - $Q_\\pi(s=7,a=1)=R_{t+1}=1$\n",
+    "            - $Q_\\pi(s=7,a=0)=\\gamma^2$\n",
+    "    - action value，state value\n",
+    "    - bellman equation\n",
+    "        - 适用于状态价值函数（state value function），也适用于动作价值函数（action value function）\n",
+    "    - mdp：markov decision process\n",
+    "        - 马尔可夫性\n",
+    "            - $p(s_{t+1}|s_t)=p(s_{t+1}|{s_1,s_2,s_3,\\cdots,s_t})$\n",
+    "        - bellman equation 成立的前提条件"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-19T01:22:33.918570Z",
+     "start_time": "2023-02-19T01:22:33.812489Z"
+    }
+   },
+   "source": [
+    "- $R_t$\n",
+    "- $Q_{\\pi}(s,a)$：state action value function\n",
+    "    - Q table\n",
+    "    - 通过 Sarsa 算法迭代更新 $Q_{\\pi}(s,a)$\n",
+    "- 对于强化学习而言\n",
+    "    - state, action, reward 都是需要精心设计的"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Sarsa（state action reward state action）"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:20:32.328550Z",
+     "start_time": "2023-02-20T15:20:32.322841Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# border & barrier\n",
+    "# ↑, →, ↓, ←（顺时针）\n",
+    "# row index: given state\n",
+    "# col index: posible action\n",
+    "# (state, action) matrix\n",
+    "# 跟环境对齐\n",
+    "theta_0 = np.asarray([[np.nan, 1, 1, np.nan],      # s0\n",
+    "                      [np.nan, 1, np.nan, 1],      # s1\n",
+    "                      [np.nan, np.nan, 1, 1],      # s2\n",
+    "                      [1, np.nan, np.nan, np.nan], # s3 \n",
+    "                      [np.nan, 1, 1, np.nan],      # s4\n",
+    "                      [1, np.nan, np.nan, 1],      # s5\n",
+    "                      [np.nan, 1, np.nan, np.nan], # s6 \n",
+    "                      [1, 1, np.nan, 1]]           # s7\n",
+    "                     )"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:20:33.445898Z",
+     "start_time": "2023-02-20T15:20:33.443279Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "n_states, n_actions = theta_0.shape"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:22:28.342788Z",
+     "start_time": "2023-02-20T15:22:28.340225Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Q table, 状态是离散的（s0-s7），动作也是离散的（上右下左）\n",
+    "Q = np.random.rand(n_states, n_actions) * theta_0"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:22:29.712906Z",
+     "start_time": "2023-02-20T15:22:29.702001Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[       nan, 0.05711349, 0.7487308 ,        nan],\n",
+       "       [       nan, 0.21055329,        nan, 0.34236513],\n",
+       "       [       nan,        nan, 0.58900823, 0.12580755],\n",
+       "       [0.19742577,        nan,        nan,        nan],\n",
+       "       [       nan, 0.46973656, 0.03069312,        nan],\n",
+       "       [0.90690458,        nan,        nan, 0.67280829],\n",
+       "       [       nan, 0.18346137,        nan,        nan],\n",
+       "       [0.40679226, 0.88075109,        nan, 0.38732487]])"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Q"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### $\\epsilon$-greedy (explore, exploit)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:23:51.690714Z",
+     "start_time": "2023-02-20T15:23:51.684199Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# 基于占比, 最 naive 的概率化方式\n",
+    "def cvt_theta_0_to_pi(theta):\n",
+    "    m, n = theta.shape\n",
+    "    pi = np.zeros((m, n))\n",
+    "    for r in range(m):\n",
+    "        pi[r, :] = theta[r, :] / np.nansum(theta[r, :])\n",
+    "    return np.nan_to_num(pi)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:23:53.973666Z",
+     "start_time": "2023-02-20T15:23:53.970002Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "pi_0 = cvt_theta_0_to_pi(theta_0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:23:59.386828Z",
+     "start_time": "2023-02-20T15:23:59.382946Z"
+    },
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[0.        , 0.5       , 0.5       , 0.        ],\n",
+       "       [0.        , 0.5       , 0.        , 0.5       ],\n",
+       "       [0.        , 0.        , 0.5       , 0.5       ],\n",
+       "       [1.        , 0.        , 0.        , 0.        ],\n",
+       "       [0.        , 0.5       , 0.5       , 0.        ],\n",
+       "       [0.5       , 0.        , 0.        , 0.5       ],\n",
+       "       [0.        , 1.        , 0.        , 0.        ],\n",
+       "       [0.33333333, 0.33333333, 0.        , 0.33333333]])"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pi_0"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:24:58.768881Z",
+     "start_time": "2023-02-20T15:24:58.763948Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[       nan, 0.05711349, 0.7487308 ,        nan],\n",
+       "       [       nan, 0.21055329,        nan, 0.34236513],\n",
+       "       [       nan,        nan, 0.58900823, 0.12580755],\n",
+       "       [0.19742577,        nan,        nan,        nan],\n",
+       "       [       nan, 0.46973656, 0.03069312,        nan],\n",
+       "       [0.90690458,        nan,        nan, 0.67280829],\n",
+       "       [       nan, 0.18346137,        nan,        nan],\n",
+       "       [0.40679226, 0.88075109,        nan, 0.38732487]])"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Q"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-19T01:33:27.896249Z",
+     "start_time": "2023-02-19T01:33:27.893096Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# epsilon-greedy\n",
+    "def get_action(s, Q, eps, pi_0):\n",
+    "    action_space = list(range(4))\n",
+    "    # eps, explore\n",
+    "    if np.random.rand() < eps:\n",
+    "        action = np.random.choice(action_space, p=pi_0[s, :])\n",
+    "    else:\n",
+    "        # 1-eps, exploit\n",
+    "        action = np.nanargmax(Q[s, :])\n",
+    "    return action"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Sarsa (update $Q_\\pi(s,a)$)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "理想情况下：\n",
+    "$$\n",
+    "Q(s_t,a_t) = R_{t+1}+\\gamma Q(s_{t+1}, a_{t+1})\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- td (temporal difference error)\n",
+    "    - $R_{t+1}+\\gamma Q(s_{t+1},a_{t+1})-Q(s_t,a_t)$\n",
+    "- final update equation\n",
+    "    - $Q(s_t,a_t)=Q(s_t,a_t)+\\eta\\cdot(R_{t+1}+\\gamma Q(s_{t+1},a_{t+1})-Q(s_t,a_t))$\n",
+    "    - $s_t,a_t,r_{t+1},s_{t+1},a_{t+1}$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- 折扣（discount factor，$\\gamma$）\n",
+    "    - 有助于缩短步数（更快地结束任务）；"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-19T02:15:30.250510Z",
+     "start_time": "2023-02-19T02:15:30.247289Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def sarsa(s, a, r, s_next, a_next, Q, eta, gamma):\n",
+    "    if s_next == 8:\n",
+    "        Q[s, a] = Q[s, a] + eta * (r - Q[s, a])\n",
+    "    else:\n",
+    "        Q[s, a] = Q[s, a] + eta * (r + gamma * Q[s_next, a_next] - Q[s, a])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## 解决 maze 问题"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:28:38.124516Z",
+     "start_time": "2023-02-20T15:28:38.116963Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# 维护着状态，以及 step 函数的返回\n",
+    "class MazeEnv(gym.Env):\n",
+    "    def __init__(self):\n",
+    "        self.state = 0\n",
+    "        pass\n",
+    "    \n",
+    "    def reset(self):\n",
+    "        self.state = 0\n",
+    "        return self.state\n",
+    "    \n",
+    "    def step(self, action):\n",
+    "        if action == 0:\n",
+    "            self.state -= 3\n",
+    "        elif action == 1:\n",
+    "            self.state += 1\n",
+    "        elif action == 2:\n",
+    "            self.state += 3\n",
+    "        elif action == 3:\n",
+    "            self.state -= 1\n",
+    "        done = False\n",
+    "        reward = 0\n",
+    "        if self.state == 8:\n",
+    "            done = True\n",
+    "            reward = 1\n",
+    "        # state, reward, done, _\n",
+    "        return self.state, reward, done, {}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:33:26.797516Z",
+     "start_time": "2023-02-20T15:33:26.783342Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# 动作策略选择，基于当前环境的状态\n",
+    "class Agent:\n",
+    "    def __init__(self):\n",
+    "        self.action_space = list(range(4))\n",
+    "        self.theta_0 = np.asarray([[np.nan, 1, 1, np.nan],      # s0\n",
+    "                      [np.nan, 1, np.nan, 1],      # s1\n",
+    "                      [np.nan, np.nan, 1, 1],      # s2\n",
+    "                      [1, np.nan, np.nan, np.nan], # s3 \n",
+    "                      [np.nan, 1, 1, np.nan],      # s4\n",
+    "                      [1, np.nan, np.nan, 1],      # s5\n",
+    "                      [np.nan, 1, np.nan, np.nan], # s6 \n",
+    "                      [1, 1, np.nan, 1]]           # s7\n",
+    "                     )\n",
+    "        self.pi = self._cvt_theta_to_pi()\n",
+    "#         self.pi = self._softmax_cvt_theta_to_pi()\n",
+    "#         self.theta = self.theta_0\n",
+    "\n",
+    "        self.Q = np.random.rand(*self.theta_0.shape) * self.theta_0\n",
+    "        self.eta = 0.1\n",
+    "        self.gamma = 0.9\n",
+    "        self.eps = 0.5\n",
+    "        \n",
+    "    def _cvt_theta_to_pi(self):\n",
+    "        m, n = self.theta_0.shape\n",
+    "        pi = np.zeros((m, n))\n",
+    "        for r in range(m):\n",
+    "            pi[r, :] = self.theta_0[r, :] / np.nansum(self.theta_0[r, :])\n",
+    "        return np.nan_to_num(pi)\n",
+    "    \n",
+    "#     def _softmax_cvt_theta_to_pi(self, beta=1.):\n",
+    "#         m, n = self.theta.shape\n",
+    "#         pi = np.zeros((m, n))\n",
+    "#         exp_theta = np.exp(self.theta*beta)\n",
+    "#         for r in range(m):\n",
+    "#             pi[r, :] = exp_theta[r, :] / np.nansum(exp_theta[r, :])\n",
+    "#         return np.nan_to_num(pi)\n",
+    "    \n",
+    "    def get_action(self, s):\n",
+    "        # eps, explore\n",
+    "        if np.random.rand() < self.eps:\n",
+    "            action = np.random.choice(self.action_space, p=self.pi[s, :])\n",
+    "        else:\n",
+    "            # 1-eps, exploit\n",
+    "            action = np.nanargmax(self.Q[s, :])\n",
+    "        return action\n",
+    "        \n",
+    "    def sarsa(self, s, a, r, s_next, a_next):\n",
+    "        if s_next == 8:\n",
+    "            self.Q[s, a] = self.Q[s, a] + self.eta * (r - self.Q[s, a])\n",
+    "        else:\n",
+    "            self.Q[s, a] = self.Q[s, a] + self.eta * (r + self.gamma * self.Q[s_next, a_next] - self.Q[s, a])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## 完成训练及更新"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:38:08.370694Z",
+     "start_time": "2023-02-20T15:38:08.296970Z"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "1 0.48151692420235004 25\n",
+      "2 0.788238427054541 51\n",
+      "3 0.5193178707316495 73\n",
+      "4 0.09357958369502378 23\n",
+      "5 0.07459493697310315 7\n",
+      "6 0.06891781188632101 7\n",
+      "7 0.06585711141363843 7\n",
+      "8 0.06265613413272358 7\n",
+      "9 0.060100868881304614 7\n",
+      "10 0.059287337144400654 7\n",
+      "11 0.058488284106318955 7\n",
+      "12 0.05750697273897609 7\n",
+      "13 0.05634890213948618 7\n",
+      "14 0.055022881405307755 7\n",
+      "15 0.0535403609535367 7\n",
+      "16 0.051914820609968326 7\n",
+      "17 0.0501612179940748 7\n",
+      "18 0.048295498355812816 7\n",
+      "19 0.04633416520669903 7\n",
+      "20 0.04509458086047741 7\n",
+      "21 0.0443781660421414 7\n",
+      "22 0.043566741048947755 7\n",
+      "23 0.04266900608905749 7\n",
+      "24 0.04169365931899821 7\n",
+      "25 0.04064935278238613 7\n",
+      "26 0.039544641494567434 7\n",
+      "27 0.03877432598312053 7\n",
+      "28 0.03836919489516444 7\n",
+      "29 0.037932322993017575 7\n",
+      "30 0.03746384259607333 7\n",
+      "31 0.036964222794984625 7\n",
+      "32 0.03643423557551101 7\n",
+      "33 0.03587492225074168 7\n",
+      "34 0.03528756047376702 7\n",
+      "35 0.034673632089539 7\n",
+      "36 0.034034792062826946 7\n",
+      "37 0.03337283869172736 7\n",
+      "38 0.032689685285438086 7\n",
+      "39 0.031987333452767774 7\n",
+      "40 0.03126784811552158 7\n",
+      "41 0.030533334329512607 7\n",
+      "42 0.02978591596630603 7\n",
+      "43 0.02902771628138473 7\n",
+      "44 0.02826084036961629 7\n",
+      "45 0.0274873594868823 7\n",
+      "46 0.026709297197557824 7\n",
+      "47 0.02592861729120166 7\n",
+      "48 0.025147213398248935 7\n",
+      "49 0.024366900223515675 7\n",
+      "50 0.023589406307802152 7\n",
+      "51 0.022816368221570238 7\n",
+      "52 0.022049326090399224 7\n",
+      "53 0.021289720349440266 7\n",
+      "54 0.020538889623210932 7\n",
+      "55 0.019798069627555426 7\n",
+      "56 0.01906839299226787 7\n",
+      "57 0.018350889905525525 7\n",
+      "58 0.01764648948474906 7\n",
+      "59 0.01695602178262262 7\n",
+      "60 0.016280220341618468 7\n",
+      "61 0.01561972521537619 7\n",
+      "62 0.014975086380526359 7\n",
+      "63 0.01434676746795055 7\n",
+      "64 0.013735149747947817 7\n",
+      "65 0.013140536309220685 7\n",
+      "66 0.012563156376991624 7\n",
+      "67 0.012003169720803564 7\n",
+      "68 0.011460671107647646 7\n",
+      "69 0.01093569476093581 7\n",
+      "70 0.010428218790478228 7\n",
+      "71 0.009938169563017962 7\n",
+      "72 0.009465425986993514 7\n",
+      "73 0.009009823689056895 7\n",
+      "74 0.00857115906343553 7\n",
+      "75 0.00814919317852647 7\n",
+      "76 0.007743655528121618 7\n",
+      "77 0.0073542476174153215 7\n",
+      "78 0.006980646376435584 7\n",
+      "79 0.006622507395769972 7\n",
+      "80 0.0062794679814730525 7\n",
+      "81 0.005951150027797558 7\n",
+      "82 0.00563716270797221 7\n",
+      "83 0.005337104984597274 7\n",
+      "84 0.005050567942414208 7\n",
+      "85 0.004777136947210048 7\n",
+      "86 0.004516393635464522 7\n",
+      "87 0.004267917740051419 7\n",
+      "88 0.004031288757878282 7\n",
+      "89 0.0038060874658013555 7\n",
+      "90 0.0035918972914945613 7\n",
+      "91 0.0033883055462049505 7\n",
+      "92 0.003194904526485076 7\n",
+      "93 0.00301129249208143 7\n",
+      "94 0.002837074527182959 7\n",
+      "95 0.002671863292188603 7\n",
+      "96 0.0025152796730716354 7\n",
+      "97 0.002366953335290245 7\n",
+      "98 0.002226523189017504 7\n",
+      "99 0.002093637772283996 7\n",
+      "100 0.001967955558394241 7\n",
+      "101 0.0018491451937413528 7\n"
+     ]
+    }
+   ],
+   "source": [
+    "maze = MazeEnv()\n",
+    "agent = Agent()\n",
+    "epoch = 0\n",
+    "while True:\n",
+    "    old_Q = np.nanmax(agent.Q, axis=1)\n",
+    "    s = maze.reset()\n",
+    "    a = agent.get_action(s)\n",
+    "    s_a_history = [[s, np.nan]]\n",
+    "    while True:\n",
+    "        # s, a \n",
+    "        s_a_history[-1][1] = a\n",
+    "        s_next, reward, done, _ = maze.step(a, )\n",
+    "        # s_next, a_next\n",
+    "        s_a_history.append([s_next, np.nan])\n",
+    "        if done:\n",
+    "            a_next = np.nan\n",
+    "        else:\n",
+    "            a_next = agent.get_action(s_next)\n",
+    "#         print(s, a, reward, s_next, a_next)\n",
+    "        agent.sarsa(s, a, reward, s_next, a_next)\n",
+    "#         print(agent.pi)\n",
+    "        if done:\n",
+    "            break\n",
+    "        else:\n",
+    "            a = a_next\n",
+    "            s = maze.state\n",
+    "\n",
+    "    # s_s_history, agent.Q\n",
+    "    update = np.sum(np.abs(np.nanmax(agent.Q, axis=1) - old_Q))\n",
+    "    epoch +=1\n",
+    "    agent.eps /= 2\n",
+    "    print(epoch, update, len(s_a_history))\n",
+    "    if epoch > 100 or update < 1e-5:\n",
+    "        break\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:38:33.582285Z",
+     "start_time": "2023-02-20T15:38:33.568692Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[       nan, 0.5741703 , 0.28654803,        nan],\n",
+       "       [       nan, 0.64891149,        nan, 0.31090434],\n",
+       "       [       nan,        nan, 0.72647909, 0.04574432],\n",
+       "       [0.24347619,        nan,        nan,        nan],\n",
+       "       [       nan, 0.34181286, 0.89988623,        nan],\n",
+       "       [0.21120543,        nan,        nan, 0.80934131],\n",
+       "       [       nan, 0.61078998,        nan,        nan],\n",
+       "       [0.19954603, 0.99999028,        nan, 0.64883227]])"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "agent.Q"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## 可视化"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:38:57.716413Z",
+     "start_time": "2023-02-20T15:38:57.705590Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "from matplotlib import animation\n",
+    "from IPython.display import HTML"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:38:58.576025Z",
+     "start_time": "2023-02-20T15:38:58.572588Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def init():\n",
+    "    line.set_data([], [])\n",
+    "    return (line, )\n",
+    "def animate(i):\n",
+    "    state = s_a_history[i][0]\n",
+    "    x = (state % 3)+0.5\n",
+    "    y = 2.5 - int(state/3)\n",
+    "    line.set_data(x, y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:39:00.248954Z",
+     "start_time": "2023-02-20T15:39:00.244740Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "anim = animation.FuncAnimation(fig, animate, init_func=init, frames=len(s_a_history), interval=200, repeat=False)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2023-02-20T15:39:06.778021Z",
+     "start_time": "2023-02-20T15:39:06.064615Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_imgc5acd73a5e904014b0b55ceeef93725c\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_sliderc5acd73a5e904014b0b55ceeef93725c\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"animc5acd73a5e904014b0b55ceeef93725c.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animc5acd73a5e904014b0b55ceeef93725c.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_selectc5acd73a5e904014b0b55ceeef93725c\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_c5acd73a5e904014b0b55ceeef93725c\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio1_c5acd73a5e904014b0b55ceeef93725c\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_c5acd73a5e904014b0b55ceeef93725c\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio2_c5acd73a5e904014b0b55ceeef93725c\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_c5acd73a5e904014b0b55ceeef93725c\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_c5acd73a5e904014b0b55ceeef93725c\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_imgc5acd73a5e904014b0b55ceeef93725c\";\n",
+       "    var slider_id = \"_anim_sliderc5acd73a5e904014b0b55ceeef93725c\";\n",
+       "    var loop_select_id = \"_anim_loop_selectc5acd73a5e904014b0b55ceeef93725c\";\n",
+       "    var frames = new Array(7);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAcdklEQVR4nO3df3BU9b3/8dcmuyE/Nmn4CmISNMFL\\\n",
+       "IQ1fKZrAJNCKELzEOtQqhk6iVYjl+oOqV+KgTin++tqxSGSw8rUyF2JRq/UnAq2WCBgLodJEKF6Q\\\n",
+       "Kl+NQMAGUhBCfm7y+f6xhEtSQhJIcj67+3zMZFqyZzfvfCY+c3L27FmXMcYIAGCdMKcHAACcGYEG\\\n",
+       "AEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsR\\\n",
+       "aACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACw\\\n",
+       "FIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEG\\\n",
+       "AEsRaACwFIEGAEu5nR7gXAwaNEgpKSlOjwEgyFRWVurw4cNOj3FKQAY6JSVF5eXlTo8BIMhkZGQ4\\\n",
+       "PUI7HOIAAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACw\\\n",
+       "FIEGAEsRaACwVEBebtRmxhhVHa9SxYEKba3aqtKvSrXr0C7V++rla/WppbVF4WHhcoe5FeWOUtrg\\\n",
+       "NE1MnqhxSeOUnpiupNgkuVwup78NABYg0L2g1bRq/Rfr9fRfntbmvZvla/XJE+5RbVOtWk3rv2zv\\\n",
+       "a/XJ1+pTg69Bm/dt1pb9W+SN8KqppUmeMI8mXDJBczPnKvvSbIW5+CMHCFUE+jwcqT+iFdtWqGhL\\\n",
+       "kY43HVdtU+2p2+p99d1+nFbTqmONxyRJDWrQe3ve06a9mxQbEavCrEIVXF6ggVEDe31+AHZj9+wc\\\n",
+       "7D+2X/lv5ivx6UQt+GCBDtYebBfn3lDbVKuDtQe14IMFSnw6UTe9eZP2H9vfq18DgN0IdA8YY7R8\\\n",
+       "23KlPpuq13e+rgZfg+qa6/r0a9Y116nB16DXdr6m1GdTtXzbchlj+vRrArADge6mqmNVmvTbSbr3\\\n",
+       "3Xt1ovmEfMbXr1/fZ3w60XxC9757ryb9dpKqjlX169cH0P8IdDcUby9W6rOp2rxvs040n3B0lhPN\\\n",
+       "J7R532alLk1V8fZiR2cB0LcI9FkYY3Tfe/fpZ3/8mWqba+Vr7d+95s74Wn2qbarVz/74M83901wO\\\n",
+       "eQBBikB3oqW1RTNXzdSyj5f1+XHmc1XXXKfnK57XrHdmqaW1xelxAPQyTrM7A2OMCt4p0BufvmFt\\\n",
+       "nNvUNdfp9V2vS5KKryvmRS5AEGEP+gzm/mmu3vz0Tevj3KYt0oXrCp0eBUAvItAdFG8v1rKPlzn+\\\n",
+       "ZGBPtR3u4IlDIHgQ6NNUHavSPX+8J2D2nDuqa67TPe/ewyl4QJAg0CcZY5T/Vr4aWhqcHuW8NPoa\\\n",
+       "ddNbN3FmBxAECPRJK7avUMWBCmtOpTtXza3NKj9QzqEOIAgQaPmvrdH2CsFgcKL5hO59714OdQAB\\\n",
+       "jkBLmlcyT42+RqfH6FUNvgbNK5nn9BgAzkPIB/pI/RG9vfvtfr+2Rl/ztfr01u63dKT+iNOjADhH\\\n",
+       "IR/oFdtWBO1F8cNcYRyLBgJYcJapm1pNq4q2FPX+aXUnJK2VtFjS45KekvRbSf/v5O1G0kZJiyT9\\\n",
+       "H0nFkqp7dwTJf9pdUVnRGd/VJZgcOnRId911l1JSUjRgwAANGTJE2dnZKikpkSS99dZbmjp1qgYP\\\n",
+       "HiyXy6UPPvjA2YGDxNnWvbm5WQ888IBGjx6tmJgYJSQkKD8/X3v37nV67IAS0i/1Xv/Feh1vOt77\\\n",
+       "D/x7Sc2SrpP0v+QPdqWktt8DmyVtkfQjSRdIKpW0UtLdkgb07ijHmo5pw5cbNOXSKb37wBaZPn26\\\n",
+       "6urqtHz5cg0fPlzV1dUqLS1VTU2NJOnEiRMaP368br75Zt1yyy0OTxs8zrbudXV1+vjjj/Xzn/9c\\\n",
+       "Y8aM0TfffKPCwkLl5ORox44dcrtDOj3d5jIBeMJsRkaGysvLz/txrnn5Gr23571emOg09ZJ+Jekn\\\n",
+       "kv7tDLcbSUWSxkm68uTnmuXfy/53SRm9O44k5QzP0bs3vdv7D2yBo0ePauDAgSopKdGUKWf/JXT4\\\n",
+       "8GENHjxYGzdu1FVXXdU/Awapnqx7m127dmnUqFHasWOHLrvssj6e8Nz0Vlt6S8ge4jDGaPPezb3/\\\n",
+       "wBEnP/4uf3g7OiKpVu3j7ZGULGlf748jSWX7yoL2hSter1der1erV69WQ0Ngv8gokJzLuh875n/f\\\n",
+       "zYEDeX/N7grZQFcdr1Jz65kKep7C5T90sUPSk5L+S9KfJLW9nWDbWxfGdLhfzGm39bKmliYdOH6g\\\n",
+       "bx7cYW63Wy+88IJeeuklxcfHKysrS/fff78++ugjp0cLaj1d96amJhUWFmratGkaOnRoP08buEI2\\\n",
+       "0BUHKhQRHtE3D54mqVBSvqTh8u8Z/5ekD/vmy3UlIjxCFQcrnPni/WD69Ok6cOCA1qxZo2uuuUZl\\\n",
+       "ZWXKzMzUL3/5S6dHC2rdXXefz6ebb75ZR48eVXExZxX1RMgGemvV1l5/J+52PPIfxrhK0k8lXS7p\\\n",
+       "A0nRJ2/v+KLFE5K8fTPKiaYT2lq1tW8e3BKRkZG6+uqrtWDBApWVlem2227TI488oqamJqdHC2pd\\\n",
+       "rbvP51NeXp527Nih9evX64ILLnB44sASsoEu/aq0f08/GyypVf4Ie/U/p9xJ/mPVX0m6uG++dItp\\\n",
+       "UelXpX3z4JZKS0uTz+fjuHQ/O33dm5ub9eMf/1g7duzQxo0bddFFFzk9XsAJ2XNddh3a1TcPXCfp\\\n",
+       "Nfn3mIfIf9rcAflPrbtUUqSkTEl/ljRI/tPsPpT/icU+fGK7z75fh9XU1Cg3N1cFBQUaPXq0YmNj\\\n",
+       "VV5eroULFyo7O1txcXH65z//qb179+ro0aOSpD179ig+Pl4XXXQR0ThHXa17dHS0brzxRv31r3/V\\\n",
+       "mjVr5HK59PXXX0uSvvWtbykqKsrh7yAwhGyg6331ffPAEZKGSvpI0j8l+STFyR/fttPqJsi/1/xH\\\n",
+       "+U/LGyr/aXm9fA706eqb++j7dZjX61VmZqaWLFmiPXv2qLGxUUlJScrPz9f8+fMlSatXr9asWbNO\\\n",
+       "3Wf27NmSpIcffliPPPKIE2MHvK7Wff/+/XrnnXckSenp6e3uW1xcrJkzZzowdeAJ2fOgPY97Av7S\\\n",
+       "oj3hDnOr+Rd9cNYKEEQ4D9oSofYu2KH2/QLBIGQDHR4W7vQI/SrUvl8gGIRsoN1hoXX43RPmcXoE\\\n",
+       "AD0UsoGOcofWs8hRntD6foFgELKBThuc5vQI/SrUvl8gGIRsoCcmTwzaC/V3FO4K18TkiU6PAaCH\\\n",
+       "QqNQZzAuaZy8EX302mrLxETEaFzSOKfHANBDIRvo9MR0NbWExnUamlqalJ6Q3vWGAKwSsoFOik0K\\\n",
+       "mTMbIsIjlBib6PQYAHooZAPtcrk04ZIJTo/RL8ZfPF4ul8vpMQD0UGidDNzB3My52rR307lddvRD\\\n",
+       "SZ9Icp38iJL/uhpN8l8wKf7kdtdKukTSc/JfHCn3tMd4W/6r2LVdg2Oq/Bf233ny39WSLjz5/y+X\\\n",
+       "/yJLPeSN8Kowq7DndwTguJAOdPal2YqNiO15oPdJ+kzS7fKv4AlJLfJfFOlLSWWSbjpt+0Pyvxfh\\\n",
+       "XvkDfvr7BFwtadTJ+62RdI/+56JKT0i6s2ejdRQ3IE6Th00+vwcB4IiQPcQhSWGuMBVmFSraE931\\\n",
+       "xqc7Lv+F99t+vcXIH+fOfCJptPwX8N/dyTZDJR3r2RhdifZEqzCrMGROJwSCTcj/l1tweUHPL9z/\\\n",
+       "b5K+kfSMpLWSKrvYfqek/33y47872WaPpNSejdGVVtOqWWNmdb0hACuFfKAHRg3U9anXy+3qwdGe\\\n",
+       "AfIf3pgm/97z65K2dbJtlfx72/HyX7D/oPzHqNuUyB/6NyV9r4fDn4U7zK0bUm/QwCjeQRkIVCEf\\\n",
+       "aElaePVCDXD38Gr5YZKGSZok6QeSPu1ku/+WdFjSYklLJDV22PZq+Y87Xy3pnZ6NcDaR7kgtvHph\\\n",
+       "7z0ggH5HoCUNjRuqJdcsUYwnpnt3OCyp5rR/fy3pW2fYrlX+wxt3Srrv5Eee/MekOxon/xOJe7o9\\\n",
+       "dqdiPDFakrNESXFJ5/9gABxDoE8qGFOgjMSM7l2GtEn+U+SelfR/5T9L46ozbLdXUqzaP4GYfHL7\\\n",
+       "4x22dcl/9sbmHg7egSfMo7FJYzn2DASBkH3LqzOpOlal1GdTVdt8DudFW8Ib4dXuObvZewbOAW95\\\n",
+       "ZbGkuCQ984Nnen7anSWiPdF65ppniDMQJAh0B7PGzNJ/XPEfARfpGE+Mbk+/nUMbQBAh0Gfw9NSn\\\n",
+       "deN3bgyYSEd7onVj2o0q+vcip0cB0IsI9Bm4XC6tuG6FctNyrY90tCdauWm5Wv7D5VwQCQgyBLoT\\\n",
+       "4WHhKr6uWLen325tpKM90boj/Q4VX1fMu3YDQYhAn4XL5dLTU5/Wsz94Vt4IrzXvBO4J88gb4dWz\\\n",
+       "P3hWRVOL2HMGghSB7oZZY2Zp95zdmnDxhO6/mKWPxHhiNP7i8do9ZzdPCAJBjkB3U1JckjbeulHP\\\n",
+       "XPOMf2+6J9fu6AXuMLe8EV49c80z2njrRk6lA0IAge4Bl8ulgssL9OmcTzVj1AxFuiMV7e7b49PR\\\n",
+       "7mhFuiM1I22Gds/ZrYLLCzikAYQIOw6qBpihcUP18vSXdaT+iIq3F2tR2SIdbzp+bu/M0glvhFdx\\\n",
+       "EXEqHF+oWWNmcVU6IAQR6PMwMGqg5mbN1X9m/qc2fLlBRVuKVLavTE0tTYoIj1BtU223rjUd5gqT\\\n",
+       "N8J76n7jLx6vwqxCTR42mYvtAyGMQPeCMFeYplw6RVMunSJjjA4cP6CKgxXaWrVVpV+VatehXapv\\\n",
+       "rldza7NaWlsUHhYuT5hHUZ4opQ1O08TkiRqXNE7pCelKjE3kEAYASQS617lcLiXFJSkpLkk/HPlD\\\n",
+       "p8cBEMD4+xkALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWg\\\n",
+       "AcBSXCwJXePqes4xxukJ4CD2oAHAUuxBo/vYmwP6FXvQAGApAg0AliLQAGApAg0AliLQAGApAg0A\\\n",
+       "liLQAGApAg0AliLQAGApAg0AliLQAGApAg0AliLQAGApAg0AliLQAGApAg0AliLQAGApAg0AliLQ\\\n",
+       "AGApAg0AliLQAGApAg0AliLQAGApAg0AliLQAGApAg0AliLQAGApAg0AliLQAGApAg0AliLQAGAp\\\n",
+       "Ag0AliLQAGApAt0HDh06pLvuukspKSkaMGCAhgwZouzsbJWUlEiSfvGLXyg1NVUxMTEaOHCgsrOz\\\n",
+       "VVZW5vDUgaur9T7d7bffLpfLpUWLFjkwaXDpat1nzpwpl8vV7iMzM9PhqQOL2+kBgtH06dNVV1en\\\n",
+       "5cuXa/jw4aqurlZpaalqamokSSNHjtTSpUs1bNgw1dfXa/HixcrJydHnn3+uIUOGODx94Olqvdu8\\\n",
+       "8cYb2rp1qxITEx2aNLh0Z92nTJmiF1988dS/IyIinBg1cJkAlJ6e7vQInTpy5IiRZEpKSrp9n2++\\\n",
+       "+cZIMu+9914fTnYeJP+Hhbq73pWVlSYxMdHs2rXLJCcnm6eeeqqfJgxO3Vn3W2+91Vx77bX9ONX5\\\n",
+       "s60tHOLoZV6vV16vV6tXr1ZDQ0OX2zc1NWnZsmWKi4vTmDFj+mHC4NKd9fb5fMrLy9P8+fP1ne98\\\n",
+       "p58nDE7d/TnftGmTLrzwQo0YMUKzZ89WdXV1P04Z+Ah0L3O73XrhhRf00ksvKT4+XllZWbr//vv1\\\n",
+       "0Ucftdtu7dq18nq9ioyM1OLFi1VSUsLhjXPQnfV++OGHNWjQIN15550OThpcurPuOTk5Wrlypdav\\\n",
+       "X6+ioiJt3bpVkydPVmNjo4OTBxind+HPhW1/hpxJfX29WbdunXn00UdNVlaWkWSeeOKJU7fX1taa\\\n",
+       "zz//3GzZssUUFBSY5ORkc+DAAQcnPguLD3G06Wy9N27caBITE011dfWpbTnE0Xu6+jk/XVVVlXG7\\\n",
+       "3ebNN9/s5ym7z7a22P1fXSdsW8TuuO2224zH4zGNjY1nvH348OHmscce6+epuikAAt1R23o/9NBD\\\n",
+       "xuVymfDw8FMfkkxYWJhJSkpyesyg09XPeUpKinnyySf7earus60tnMXRT9LS0uTz+dTQ0HDGZ7Jb\\\n",
+       "W1v5068Xta33HXfcofz8/Ha3TZ06VXl5eZo9e7ZD0wWvs/2cHz58WFVVVUpISHBousBDoHtZTU2N\\\n",
+       "cnNzVVBQoNGjRys2Nlbl5eVauHChsrOzJUnz58/XtGnTlJCQoEOHDmnp0qXav3+/ZsyY4fD0gaer\\\n",
+       "9b7kkkv+5T4ej0cXXXSRRo4c6cDEwaGrdQ8LC9P999+v6dOnKyEhQZWVlXrooYd04YUX6vrrr3d6\\\n",
+       "/IBBoHuZ1+tVZmamlixZoj179qixsVFJSUnKz8/X/Pnz5Xa7tXPnTq1YsUI1NTW64IILNHbsWH34\\\n",
+       "4YcaPXq00+MHnK7WG32jq3UPDw/XJ598opUrV+ro0aNKSEjQpEmT9Nprryk2Ntbp8QOGyxhjnB6i\\\n",
+       "pzIyMlReXu70GKHD5fL/b+D9qAA9YltbOM0OACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxF\\\n",
+       "oAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHA\\\n",
+       "UgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQa\\\n",
+       "ACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACzldnqAc1JRIblc\\\n",
+       "Tk8B9B1+vp2Rnu70BO2wBw0AlgrMPej0dKm83OkpgL5jjNMThKaMDKcnaIc9aACwFIEGAEsRaACw\\\n",
+       "FIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEG\\\n",
+       "AEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsR\\\n",
+       "aACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsR6D5w6NAh3XXXXUpJSdGAAQM0ZMgQZWdnq6Sk5NQ2\\\n",
+       "n332mW644QbFx8crOjpaV1xxhT799FMHpw5cXa23y+U648ecOXMcnjywdbXutbW1uvvuuzV06FBF\\\n",
+       "RUVp5MiRWrx4scNTBxa30wMEo+nTp6uurk7Lly/X8OHDVV1drdLSUtXU1EiSvvzyS02YMEG33HKL\\\n",
+       "NmzYoPj4eO3evVter9fhyQNTV+t98ODBdtuXl5dr2rRpmjFjhhPjBo2u1n3u3Ll6//339eKLL2rY\\\n",
+       "sGH68MMPNXv2bA0aNEg/+clPHJ4+QJgAlJ6e7vQInTpy5IiRZEpKSjrdJi8vz+Tn5/fjVMGrO+vd\\\n",
+       "0U9/+lMzYsSIPpwq+HVn3UeNGmUWLFjQ7nNXXnmlmTNnTl+Pd85sawuHOHqZ1+uV1+vV6tWr1dDQ\\\n",
+       "8C+3t7a2as2aNUpLS1NOTo4GDx6ssWPH6ve//70D0wa+rta7o9raWr366quaPXt2P0wXvLqz7t/7\\\n",
+       "3ve0Zs0a7du3T5JUVlam7du3Kycnpz9HDWxO/4Y4F7b9luvojTfeMAMHDjQDBgwwmZmZprCw0Pzl\\\n",
+       "L38xxhhz8OBBI8lER0eboqIis23bNlNUVGTCw8PN2rVrHZ48MJ1tvTt6/vnnTUREhKmuru7nKYNP\\\n",
+       "V+ve2NhoZs6caSQZt9tt3G63ee655xycuGu2tYVA95H6+nqzbt068+ijj5qsrCwjyTzxxBOmqqrK\\\n",
+       "SDJ5eXntts/LyzM5OTkOTRv4OlvvjjIyMkxubq4DEwans637okWLzIgRI8zq1avN3/72N/PrX//a\\\n",
+       "xMTEmHfffdfhqTtnW1sIdD+57bbbjMfjMY2NjcbtdpvHH3+83e2PPfaYSUtLc2i64HP6erfZtm2b\\\n",
+       "kWTWrVvn4GTBrW3djx49ajwej1m1atW/3J6dne3QdF2zrS0cg+4naWlp8vl8amho0NixY/X3v/+9\\\n",
+       "3e2fffaZkpOTHZou+Jy+3m2WLVumYcOGacqUKQ5OFtza1t3lcqm5uVnh4eHtbg8PD1dra6tD0wUe\\\n",
+       "TrPrZTU1NcrNzVVBQYFGjx6t2NhYlZeXa+HChcrOzlZcXJzmzZunGTNm6Pvf/74mT56sjRs36tVX\\\n",
+       "X9WqVaucHj/gdGe9Jamurk4vv/yy5s2bJ5fL5fDUga876z5x4kQ9+OCD8nq9Sk5OVmlpqVauXKmF\\\n",
+       "Cxc6PX7gcHoX/lzY9mfI6RoaGsxDDz1kMjIyTHx8vImKijLDhw839913n6mpqTm1XXFxsfn2t79t\\\n",
+       "IiMjzWWXXWZ+97vfOTh14Orueq9YscKEh4ebqqoqB6cNHt1Z94MHD5qZM2eaxMREExkZaUaOHGme\\\n",
+       "euop09ra6vD0nbOtLS5jjHH6l0RPZWRkqLy83OkxAAQZ29rCMWgAsBSBBgBLEWgAsBSBBgBLEWgA\\\n",
+       "sBSBBgBLEWgAsBSBBgBLEWgAsBSBBnBW//jHP5Sfn69LL71U6enpysrK0ttvvy1J2rRpk8aNG6fU\\\n",
+       "1FSlpqZq2bJl7e7r8/k0ePBgPfjgg+0+f9VVV1n1ij1bEWgAnTLG6Ec/+pGuvPJKffHFF6qoqNCr\\\n",
+       "r76q/fv36+uvv1Z+fr5+85vfaPfu3dq0aZOef/55/eEPfzh1/5KSEo0YMUKvv/66AvCqEo4j0AA6\\\n",
+       "tWHDBkVEROiOO+449bnk5GTdfffdWrp0qWbOnKkrrrhCkjRo0CAtXLhQTz755KltX3nlFd177726\\\n",
+       "5JJLtGXLln6fP9ARaACd2rlz56kAn+m29PT0dp/LyMjQzp07JUkNDQ16//33NW3aNOXl5emVV17p\\\n",
+       "83mDDYEG0G1z5szRd7/7XY0dO7bLbdeuXatJkyYpKipK06dP16pVq9TS0tIPUwYPAg2gU6NGjdLH\\\n",
+       "H3986t9Lly7V+vXrdejQIaWlpamioqLd9hUVFRo1apQk/+GN999/XykpKUpPT1dNTY02bNjQr/MH\\\n",
+       "OgINoFOTJ09WQ0ODnnvuuVOfq6urk+Tfm37hhRe0fft2Sf53WXnggQc0b948HTt2TH/+85+1d+9e\\\n",
+       "VVZWqrKyUkuXLuUwRw8RaACdcrlcWrVqlUpLSzVs2DCNGzdOt956q371q18pISFBL730kmbPnq3U\\\n",
+       "1FSNHz9eBQUFmjZtmt5++21NnjxZAwYMOPVY1113ndasWaPGxkZJ0rXXXquhQ4dq6NChys3Ndepb\\\n",
+       "tBrvqAIAJ9nWFvagAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWg\\\n",
+       "AcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBS\\\n",
+       "BBoALEWgAcBSBBoALOUyxhinh+ipQYMGKSUlxekxAASZyspKHT582OkxTgnIQANAKOAQBwBYikAD\\\n",
+       "gKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUI\\\n",
+       "NABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABY\\\n",
+       "ikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikAD\\\n",
+       "gKUINABYikADgKUINABY6v8DGd6uQEiH1agAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAdU0lEQVR4nO3df1iV9R3/8deBAwgcTL9hJDjB5pDh\\\n",
+       "FbFAJ7ZpihWty/XDtGBrGs3VtNYmzerKtX7MrkKpK6dXy+uruH7Mfi5Tt0xSIxWXA3V2aZp9F0uR\\\n",
+       "UplmyM/D+Xz/MLnCNMidc+7POT4f18VVcu7DeZ/PdXx6c3NzH5cxxggAYJ0IpwcAAJwagQYASxFo\\\n",
+       "ALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAU\\\n",
+       "gQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYA\\\n",
+       "SxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFo\\\n",
+       "ALAUgQYAS7mdHuBMJCYmKi0tzekxAISZ2tpaHTp0yOkxOoVkoNPS0lRdXe30GADCTG5urtMjdMEh\\\n",
+       "DgCwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACw\\\n",
+       "FIEGAEuF5OVGgS8zxqju8zrV7K/R5rrNqvxPpXYe3Klmb7O8Pq86fB2KjIiUO8KtWHesMvtlanTq\\\n",
+       "aA1PGa6c5BylJKTI5XI5/TSAryDQCEk+49Oaf6/R4/94XBs/3iivz6uoyCg1tjXKZ3xf2d7r88rr\\\n",
+       "86rF26KNezdq075N8kR71NbRpqiIKF0y8BLNGDFD+RfkK8LFN5awA4FGSDncfFiLty5W2aYyfd72\\\n",
+       "uRrbGjtva/Y29/jr+IxPR1uPSpJa1KJVH67Sho83KCE6QSV5JSr+XrH6xvb1+/zAN8GuAkLCvqP7\\\n",
+       "VPRqkZIfT9b9b9+v+sb6LnH2h8a2RtU31uv+t+9X8uPJ+smrP9G+o/v8+hjAN0GgYTVjjBZtXaSM\\\n",
+       "+Rl6ecfLavG2qKm9KaCP2dTepBZvi17a8ZIy5mdo0dZFMsYE9DGBUyHQsFbd0TqN+fMY3fnGnTrW\\\n",
+       "fkxe4w3q43uNV8faj+nON+7UmD+PUd3RuqA+PkCgYaXybeXKmJ+hjXs36lj7MUdnOdZ+TBv3blTG\\\n",
+       "ggyVbyt3dBacXQg0rGKM0W9W/Ua3//12NbY3yusL7l7z6Xh9XjW2Ner2v9+uGW/O4JAHgoJAwxod\\\n",
+       "vg5NWTZFC7csDPhx5jPV1N6kp2ue1s2v36wOX4fT4yDMcZodrGCMUfHrxXrl/VesjfMJTe1Nennn\\\n",
+       "y5Kk8qvL+SUXBAx70LDCjDdn6NX3X7U+zieciHTJ6hKnR0EYI9BwXPm2ci3cstDxHwZ+UycOd/CD\\\n",
+       "QwQKgYaj6o7W6Vd//1XI7DmfrKm9Sb9641ecgoeAINBwjDFGRX8tUktHi9Oj/E9ava36yV9/wpkd\\\n",
+       "8DsCDccs3rZYNftrrDmV7ky1+9pVvb+aQx3wOwINR+w7uq/zNwTDwbH2Y7pz1Z0c6oBfEWg4YmbF\\\n",
+       "TLV6W50ew69avC2aWTHT6TEQRgg0gu5w82G9tuu1oF9bI9C8Pq/+uuuvOtx82OlRECYINIJu8dbF\\\n",
+       "YXtR/AhXBMei4Tfh+bfEYQcPHtS0adOUlpammJgYJSUlKT8/XxUVFZKOn73wwAMPKDk5WbGxsbr0\\\n",
+       "0ku1Y8cOh6cODp/xqWxTmX9PqzsmaaWkJyQ9LGmOpD9L+n9f3L5T0rOSSiU9IOkj/z30yZram1RW\\\n",
+       "VXbKd3UJN1/3Om9vb9fdd9+trKwsxcfHq3///ioqKtLHH3/s9NghhV/1DoAJEyaoqalJixYt0uDB\\\n",
+       "g3XgwAFVVlaqoaFBklRaWqqysjItWbJEQ4YM0UMPPaTLLrtMu3fvVkJCgsPTB9aaf6/R522f+/eL\\\n",
+       "viipXdLVkv6Pjge7VtKJfwPaJX1LUpak1/z70KdytO2o1n60VuMuGBf4B3PQ173Om5qatGXLFt13\\\n",
+       "333Kzs7WZ599ppKSEhUUFGj79u1yu0lPT7hMCJ68mZubq+rqaqfHOKUjR46ob9++qqio0LhxX/0L\\\n",
+       "aoxRcnKybr/9dt13332SpObmZp133nmaO3eubr311mCPHFRXPn+lVn24yn9fsFnSY5JukvTtbrY9\\\n",
+       "puN715MlDfLfCKdSMLhAb/zkjcA+iIO6e52fys6dOzV06FBt375dF154YYAnPDO2tYVDHH7m8Xjk\\\n",
+       "8Xi0fPlytbR89RcwPvroI33yySe6/PLLOz8XGxurUaNGqaqqKpijBp0xRhs/3ujfLxr9xcduHd9T\\\n",
+       "tkTV3qqw/sWV7l7np3L06PH3gOzbl/d67CkC7Wdut1tLlizRc889pz59+igvL0933XWX3n33XUnS\\\n",
+       "J598IklKSkrqcr+kpKTO28JV3ed1avf5uaKRkq6RtF3So5L+r6Q3JTn8VoJtHW3a//l+Z4cIoO5e\\\n",
+       "5ydra2tTSUmJxo8frwEDBgR52tBFoANgwoQJ2r9/v1asWKErr7xSVVVVGjFihB555BGnR3NUzf4a\\\n",
+       "RUdG+/8LZ0oqkVQkabCkvToe6nf8/1A9FR0ZrZr6GucGCIKevs69Xq9++tOf6siRIyov5wyXb4JA\\\n",
+       "B0ivXr102WWX6f7771dVVZVuueUWPfDAA0pMTJQkffrpp122//TTT3X++ec7MWrQbK7b7Pd34u4U\\\n",
+       "pePHoC+V9HNJ35P0tiSHTrU+1nZMm+s2O/PgQXS613lbW5uk43EuLCzU9u3btWbNGp177rkOTxxa\\\n",
+       "CHSQZGZmyuv1KikpSeeff37nKXeS1NLSovXr12vkyJEOThh4lf+pDN7pZ/0k+eRYoDtMhyr/U+nM\\\n",
+       "gzvoxOu8paVF7e3tuuGGG7R9+3atW7cu7HdAAoFzXfysoaFBEydOVHFxsbKyspSQkKDq6mqVlpYq\\\n",
+       "Pz9f55xzjn7961/rkUceUUZGhtLT0/WHP/xBHo9HRUVFTo8fUDsP7vT/F22S9JKO7zEnSYqRtF/S\\\n",
+       "RkkXSOr1xTafSTrxs6z/fvF5j6QAntUYkOdrie5e53Fxcbr++uv1z3/+UytWrJDL5er8Gcs555yj\\\n",
+       "2NhYh59BaCDQfubxeDRixAg9+eST+vDDD9Xa2qqUlBQVFRVp1qxZkqSZM2equblZ06dP1+HDh/X9\\\n",
+       "739fq1evDvtzoJu9zf7/otGSBkh6V8fD65XUW9KFkkZ9sc1uSa9/6T4rvvjvaElj/D/SCc3tAXi+\\\n",
+       "lujudb5v3z69/vrxRc/Jyely3/Lyck2ZMsWBqUMP50EjaKIejgr5S4t+E+4It9p/Z9G5f+iWbW3h\\\n",
+       "GDSC5mx7F+yz7fnC/wg0giYyItLpEYLqbHu+8D8CjaBxR5xdP/KIiohyegSEOAKNoIl1n10/uY+N\\\n",
+       "OrueL/yPQCNoMvtlOj1CUJ1tzxf+R6ARNKNTR4fthfpPFumK1OjU0U6PgRB3dvxtgRWGpwyXJ9rj\\\n",
+       "9BhBER8dr+Epw50eAyGOQCNocpJz1NbR5vQYQdHW0aac/jndbwh8DQKNoElJSDlrzmyIjoxWckKy\\\n",
+       "02MgxBFoBI3L5dIlAy9xeoygGPmtkXK5XE6PgRBHoM/Q7NmzNXToUGVlZSk7O1tjxoxRdna2Bg8e\\\n",
+       "rHPOOUfZ2dnKzs7ufJeU7Oxs3XjjjV2+xpQpUzRo0CBlZ2froosu0po1azR79uzO+0ZGRnb+/7x5\\\n",
+       "85x4mn43Y8SMsD8O7Yn2qCSvxOkxEAbOrt8c8JNNmzZp5cqV2rJli2JiYnTo0CG1tbUpOTlZb7/9\\\n",
+       "tubOnauVK1d2bv/++++ro6ND69ev17FjxxQfH99525w5c3T99ddr3bp1+sUvfqE9e/Z0vlehx+PR\\\n",
+       "tm3bgv78Ain/gnwlRCcE7rrQFugd01tjB411egyEAfagz0B9fb0SExMVExMjSUpMTFRy8umPNy5d\\\n",
+       "ulQ33XSTLr/88s4rfJ0sLy9PdXV1AZnXJhGuCJXklSguKs7pUQIiLipOJXklZ83phAgsXkVn4PLL\\\n",
+       "L9fevXuVnp6uadOmqbLy6y/M/uKLL+rGG29UYWGhli5desptVq1apWuuuSYQ41qn+HvFwbtwf5D5\\\n",
+       "jE83Z9/s9BgIEwT6DHg8HtXU1GjhwoXq16+fbrjhBi1ZsuSU21ZXVysxMVEDBw5Ufn6+tm7dqv/+\\\n",
+       "97+dt//2t79Venq6ioqKdPfddwfpGTirb2xfXZtxrdyu8DrC5o5w67qM69Q3lnethn8Q6DMUGRmp\\\n",
+       "Sy+9VA8++KDmz5+vV1999ZTbLV26VLt27VJaWpq+/e1v6+jRo122nTNnjj744AM99thjKi4uDtb4\\\n",
+       "jiu9rFQx7hinx/CrXu5eKr2s1OkxEEYI9BnYvXu39uzZ0/nnbdu2KTU19Svb+Xw+vfTSS3rvvfdU\\\n",
+       "W1ur2tpavf7666c8zHH77bfL5/PpzTffDOjsthjQe4CevPJJxUfFd79xCIiPiteTBU8qpXeK06Mg\\\n",
+       "jBDoM9DY2KjJkycrMzNTWVlZ2rlzpx544IGvbLd+/XqlpKR0+QHiqFGjtHPnTtXX13fZ1uVyadas\\\n",
+       "WSotPXv2wIqzi5WbnBvylyGNiojSsJRhHHuG3/GWV3BU3dE6ZczPUGN76J5254n2aNf0Xew9hwHb\\\n",
+       "2sIeNByV0jtF8340L2RPu4uLitO8K+cRZwQEgYbjbs6+Wb+4+BchF+n4qHjdmnMrhzYQMAQaVnj8\\\n",
+       "isd1/XevD5lIx0XF6frM61V2eZnToyCMEWhYweVyafHVizUxc6L1kY6LitPEzIla9ONFXBAJAUWg\\\n",
+       "YY3IiEiVX12uW3NutTbScVFxui3nNpVfXc67diPgCDSs4nK59PgVj2v+j+bLE+2x5hS8qIgoeaI9\\\n",
+       "mv+j+Sq7oow9ZwQFgYaVbs6+Wbum79Il37rE8V9miY+K18hvjdSu6bv4gSCCikDDWim9U7Ru8jrN\\\n",
+       "u3Le8b3pIF+7wx3hlifao3lXztO6yes4lQ5BR6BhNZfLpeLvFev96e9r0tBJ6uXupTh3YI9Px7nj\\\n",
+       "1MvdS5MyJ2nX9F0q/l4xhzTgCDsO8AHdGNB7gJ6f8LwONx9W+bZyza2aq8/bPvfrhf890R71ju6t\\\n",
+       "kpElujn7Zq5KB8cRaISUvrF9NSNvhn494tda+9FalW0qU9XeKrV1tCk6MlqNbY09utZ0hCtCnmhP\\\n",
+       "5/1GfmukSvJKNHbQWC62D2sQaISkCFeExl0wTuMuGCdjjPZ/vl819TXaXLdZlf+p1M6DO9Xc3qx2\\\n",
+       "X7s6fB2KjIhUVESUYqNildkvU6NTR2t4ynDl9M9RckIyhzBgJQKNkOdyuZTSO0UpvVP04yE/dnoc\\\n",
+       "wG/4Xg4ALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBS\\\n",
+       "XCwJ3eNKb84xxukJ4CD2oAHAUuxBo+fYmwOCij1oALAUgQYASxFoALAUgQYASxFoALAUgQYASxFo\\\n",
+       "ALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAU\\\n",
+       "gQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYA\\\n",
+       "SxFoALAUgQ6AgwcPatq0aUpLS1NMTIySkpKUn5+viooKSdLvfvc7ZWRkKD4+Xn379lV+fr6qqqoc\\\n",
+       "njp0dbfeX3brrbfK5XJp7ty5DkwaXrpb9ylTpsjlcnX5GDFihMNThxa30wOEowkTJqipqUmLFi3S\\\n",
+       "4MGDdeDAAVVWVqqhoUGSNGTIEC1YsECDBg1Sc3OznnjiCRUUFGjPnj1KSkpyePrQ0916n/DKK69o\\\n",
+       "8+bNSk5OdmjS8NKTdR83bpyeffbZzj9HR0c7MWroMiEoJyfH6RFO6/Dhw0aSqaio6PF9PvvsMyPJ\\\n",
+       "rFq1KoCT/Q+k4x8W6ul619bWmuTkZLNz506Tmppq5syZE6QJw1NP1n3y5MnmqquuCuJU/zvb2sIh\\\n",
+       "Dj/zeDzyeDxavny5Wlpaut2+ra1NCxcuVO/evZWdnR2ECcNLT9bb6/WqsLBQs2bN0ne/+90gTxie\\\n",
+       "evo637Bhg8477zylp6dr6tSpOnDgQBCnDH0E2s/cbreWLFmi5557Tn369FFeXp7uuusuvfvuu122\\\n",
+       "W7lypTwej3r16qUnnnhCFRUVHN44Az1Z79///vdKTEzUL3/5SwcnDS89WfeCggI988wzWrNmjcrK\\\n",
+       "yrR582aNHTtWra2tDk4eYpzehT8Ttn0bcirNzc1m9erV5sEHHzR5eXlGkpk9e3bn7Y2NjWbPnj1m\\\n",
+       "06ZNpri42KSmppr9+/c7OPHXsPgQxwmnW+9169aZ5ORkc+DAgc5tOcThP929zr+srq7OuN1u8+qr\\\n",
+       "rwZ5yp6zrS12/607DdsWsSduueUWExUVZVpbW095++DBg81DDz0U5Kl6KAQCfbIT633vvfcal8tl\\\n",
+       "IiMjOz8kmYiICJOSkuL0mGGnu9d5WlqaefTRR4M8Vc/Z1hbO4giSzMxMeb1etbS0nPIn2T6fj2/9\\\n",
+       "/OjEet92220qKirqctsVV1yhwsJCTZ061aHpwtfXvc4PHTqkuro69e/f36HpQg+B9rOGhgZNnDhR\\\n",
+       "xcXFysrKUkJCgqqrq1VaWqr8/HxJ0qxZszR+/Hj1799fBw8e1IIFC7Rv3z5NmjTJ4elDT3frPXDg\\\n",
+       "wK/cJyoqSueff76GDBniwMThobt1j4iI0F133aUJEyaof//+qq2t1b333qvzzjtP1157rdPjhwwC\\\n",
+       "7Wcej0cjRozQk08+qQ8//FCtra1KSUlRUVGRZs2aJbfbrR07dmjx4sVqaGjQueeeq2HDhumdd95R\\\n",
+       "VlaW0+OHnO7WG4HR3bpHRkbqvffe0zPPPKMjR46of//+GjNmjF566SUlJCQ4PX7IcBljjNNDfFO5\\\n",
+       "ubmqrq52eoyzh8t1/L+h91IBvhHb2sJpdgBgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQIN\\\n",
+       "AJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi\\\n",
+       "0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABg\\\n",
+       "KQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKbfTA5yRmhrJ5XJ6\\\n",
+       "CiBweH07IyfH6Qm6YA8aACwVmnvQOTlSdbXTUwCBY4zTE5ydcnOdnqAL9qABwFIEGgAsRaABwFIE\\\n",
+       "GgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAs\\\n",
+       "RaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaAB\\\n",
+       "wFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaAD4ODBg5o2bZrS0tIUExOjpKQk5efnq6KionObDz74\\\n",
+       "QNddd5369OmjuLg4XXzxxXr//fcdnDp0dbfeLpfrlB/Tp093ePLQ1t26NzY26o477tCAAQMUGxur\\\n",
+       "IUOG6IknnnB46tDidnqAcDRhwgQ1NTVp0aJFGjx4sA4cOKDKyko1NDRIkj766CNdcskl+tnPfqa1\\\n",
+       "a9eqT58+2rVrlzwej8OTh6bu1ru+vr7L9tXV1Ro/frwmTZrkxLhho7t1nzFjht566y09++yzGjRo\\\n",
+       "kN555x1NnTpViYmJuummmxyePkSYEJSTk+P0CKd1+PBhI8lUVFScdpvCwkJTVFQUxKnCV0/W+2Q/\\\n",
+       "//nPTXp6egCnCn89WfehQ4ea+++/v8vnRo0aZaZPnx7o8c6YbW3hEIefeTweeTweLV++XC0tLV+5\\\n",
+       "3efzacWKFcrMzFRBQYH69eunYcOG6cUXX3Rg2tDX3XqfrLGxUS+88IKmTp0ahOnCV0/W/Qc/+IFW\\\n",
+       "rFihvXv3SpKqqqq0bds2FRQUBHPU0Ob0vxBnwrZ/5U72yiuvmL59+5qYmBgzYsQIU1JSYv7xj38Y\\\n",
+       "Y4ypr683kkxcXJwpKyszW7duNWVlZSYyMtKsXLnS4clD09et98mefvppEx0dbQ4cOBDkKcNPd+ve\\\n",
+       "2tpqpkyZYiQZt9tt3G63eeqppxycuHu2tYVAB0hzc7NZvXq1efDBB01eXp6RZGbPnm3q6uqMJFNY\\\n",
+       "WNhl+8LCQlNQUODQtKHvdOt9stzcXDNx4kQHJgxPX7fuc+fONenp6Wb58uXmX//6l/njH/9o4uPj\\\n",
+       "zRtvvOHw1KdnW1sIdJDccsstJioqyrS2thq3220efvjhLrc/9NBDJjMz06Hpws+X1/uErVu3Gklm\\\n",
+       "9erVDk4W3k6s+5EjR0xUVJRZtmzZV27Pz893aLru2dYWjkEHSWZmprxer1paWjRs2DDt3r27y+0f\\\n",
+       "fPCBUlNTHZou/Hx5vU9YuHChBg0apHHjxjk4WXg7se4ul0vt7e2KjIzscntkZKR8Pp9D04UeTrPz\\\n",
+       "s4aGBk2cOFHFxcXKyspSQkKCqqurVVpaqvz8fPXu3VszZ87UpEmT9MMf/lBjx47VunXr9MILL2jZ\\\n",
+       "smVOjx9yerLektTU1KTnn39eM2fOlMvlcnjq0NeTdR89erTuueceeTwepaamqrKyUs8884xKS0ud\\\n",
+       "Hj90OL0LfyZs+zbky1paWsy9995rcnNzTZ8+fUxsbKwZPHiw+c1vfmMaGho6tysvLzff+c53TK9e\\\n",
+       "vcyFF15o/vKXvzg4dejq6XovXrzYREZGmrq6OgenDR89Wff6+nozZcoUk5ycbHr16mWGDBli5syZ\\\n",
+       "Y3w+n8PTn55tbXEZY4zT/0h8U7m5uaqurnZ6DABhxra2cAwaACxFoAHAUgQaACxFoAHAUgQaACxF\\\n",
+       "oAHAUgQaACxFoAHAUgQaACxFoAF8rU8//VRFRUW64IILlJOTo7y8PL322muSpA0bNmj48OHKyMhQ\\\n",
+       "RkaGFi5c2OW+Xq9X/fr10z333NPl85deeqlVv7FnKwIN4LSMMbrmmms0atQo/fvf/1ZNTY1eeOEF\\\n",
+       "7du3T5988omKior0pz/9Sbt27dKGDRv09NNP629/+1vn/SsqKpSenq6XX35ZIXhVCccRaACntXbt\\\n",
+       "WkVHR+u2227r/FxqaqruuOMOLViwQFOmTNHFF18sSUpMTFRpaakeffTRzm2XLl2qO++8UwMHDtSm\\\n",
+       "TZuCPn+oI9AATmvHjh2dAT7VbTk5OV0+l5ubqx07dkiSWlpa9NZbb2n8+PEqLCzU0qVLAz5vuCHQ\\\n",
+       "AHps+vTpuuiiizRs2LBut125cqXGjBmj2NhYTZgwQcuWLVNHR0cQpgwfBBrAaQ0dOlRbtmzp/POC\\\n",
+       "BQu0Zs0aHTx4UJmZmaqpqemyfU1NjYYOHSrp+OGNt956S2lpacrJyVFDQ4PWrl0b1PlDHYEGcFpj\\\n",
+       "x45VS0uLnnrqqc7PNTU1STq+N71kyRJt27ZN0vF3Wbn77rs1c+ZMHT16VOvXr9fHH3+s2tpa1dbW\\\n",
+       "asGCBRzm+IYINIDTcrlcWrZsmSorKzVo0CANHz5ckydP1mOPPab+/fvrueee09SpU5WRkaGRI0eq\\\n",
+       "uLhY48eP12uvvaaxY8cqJiam82tdffXVWrFihVpbWyVJV111lQYMGKABAwZo4sSJTj1Fq/GOKgDw\\\n",
+       "Bdvawh40AFiKQAOApQg0AFiKQAOApQg0AFiKQAOApQg0AFiKQAOApQg0AFiKQAOApQg0AFiKQAOA\\\n",
+       "pQg0AFiKQAOApQg0AFiKQAOApQg0AFiKQAOApQg0AFiKQAOApQg0AFiKQAOApQg0AFiKQAOApQg0\\\n",
+       "AFiKQAOApVzGGOP0EN9UYmKi0tLSnB4DQJipra3VoUOHnB6jU0gGGgDOBhziAABLEWgAsBSBBgBL\\\n",
+       "EWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgA\\\n",
+       "sBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSB\\\n",
+       "BgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBL\\\n",
+       "EWgAsBSBBgBL/X9WjjrMe708EwAAAABJRU5ErkJggg==\\\n",
+       "\"\n",
+       "  frames[2] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAdNklEQVR4nO3de3BU9f3/8dcmm4SETYRvg4GEkmBp\\\n",
+       "SMMUUxMowZZbULEOVYtQk1aBWKqCVgWLOqVei6OB6EjhZ2V+XOqleEMRaEUiYARCZRKhXwdE4aep\\\n",
+       "ECKXCMWQ62Y/vz8iGYNAIs3u+ezu8zGTUbJnN+/9GJ+cnD056zLGGAEArBPh9AAAgDMj0ABgKQIN\\\n",
+       "AJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi\\\n",
+       "0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABg\\\n",
+       "KQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQIN\\\n",
+       "AJYi0ABgKbfTA5yPxMREpaWlOT0GgBBTWVmpo0ePOj1Gm6AMdFpamsrLy50eA0CIycnJcXqEdjjE\\\n",
+       "AQCWItAAYCkCDQCWItAAYCkCDQCWItAAYCkCDQCWItAAYCkCDQCWItAAYCkCDQCWItAAYCkCDQCW\\\n",
+       "ItAAYKmgvNwoAGcZY1T1ZZUqDlZoe9V2lf67VLuP7Fa9t15en1ctvhZFRkTKHeFWrDtWmb0yNTJ1\\\n",
+       "pIamDFV2crZS4lPkcrmcfhrWI9AAOsVnfNrwyQY98c8ntPWzrfL6vIqKjFJtU618xveN7b0+r7w+\\\n",
+       "rxq8Ddq6f6u2HdgmT7RHTS1NioqI0qX9LtXMYTOVd1GeIlz8MH8mBBrAOR2rP6alO5aqeFuxvmz6\\\n",
+       "UrVNtW231XvrO/04PuPTicYTkqQGNWjdvnXa8tkWxUfHa1buLBX+qFA9Y3t2+fzBjL+2AJzRgRMH\\\n",
+       "VLCyQMlPJOv+d+5XdW11uzh3hdqmWlXXVuv+d+5X8hPJ+tXKX+nAiQNd+jWCGYEG0I4xRkt2LFHG\\\n",
+       "wgy9susVNXgbVNdc59evWddcpwZvg17e9bIyFmZoyY4lMsb49WsGAwINoE3ViSqN/uto3fHmHTrZ\\\n",
+       "fFJe4w3o1/car042n9Qdb96h0X8draoTVQH9+rYh0AAkSct2LlPGwgxt3b9VJ5tPOjrLyeaT2rp/\\\n",
+       "qzIWZWjZzmWOzuIkAg2EOWOM7lp3l277x22qba6V1xfYveaz8fq8qm2q1W3/uE0z35oZloc8CDQQ\\\n",
+       "xlp8LZqyaooWv7/Y78eZz1ddc52eqXhGU9+YqhZfi9PjBBSn2QFhyhijwjcK9eqHr1ob51Pqmuv0\\\n",
+       "yu5XJEnLrl4WNr/kwh40EKZmvjVTKz9caX2cTzkV6VnrZzk9SsAQaCAMLdu5TIvfX+z4i4Hf1qnD\\\n",
+       "HeHywiGBBsJM1Ykq/e4fvwuaPefT1TXX6Xdv/i4sTsEj0EAYMcao4LUCNbQ0OD3Kf6XR26hfvfar\\\n",
+       "kD+zg0ADYWTpzqWqOFhhzal056vZ16zyg+Uhf6iDQANh4sCJA22/IRgKTjaf1B3r7gjpQx0EGggT\\\n",
+       "s0tmq9Hb6PQYXarB26DZJbOdHsNvCDQQBo7VH9Pre14P+LU1/M3r8+q1Pa/pWP0xp0fxCwINhIGl\\\n",
+       "O5aG7EXxI1wRIXssOjT/iznsyJEjmj59utLS0hQTE6OkpCTl5eWppKREUusr6Q8++KCSk5MVGxur\\\n",
+       "UaNGadeuXQ5PHbw6Wu/XXntNV1xxhXr16iWXy6V33nnH2YEDzGd8Kt5W3PWn1Z2UtFbSk5IekTRP\\\n",
+       "0l8l/T9JLZJKJP0fSXMlzZf0qqTjXTuC1HraXXFZ8Rnf1SXY8avefjBhwgTV1dVpyZIlGjBggA4f\\\n",
+       "PqzS0lLV1NRIkoqKilRcXKzly5dr4MCBevjhh3XZZZfpo48+Unx8vMPTB5+O1vvkyZMaPny4fv3r\\\n",
+       "X+vGG290eNrA2/DJBn3Z9GXXP/BLkpolXS3pf9Qa7EpJdV99vlrSCEm9JTVIWi/peUm3Sors2lFO\\\n",
+       "NJ3Qxk83auxFY7v2gR3mMkF4ImFOTo7Ky8udHuOMjh8/rp49e6qkpERjx37zm8UYo+TkZN122236\\\n",
+       "wx/+IEmqr6/XhRdeqPnz5+vmm28O9MhBraP1/rqjR4+qV69e2rRpk0aNGhWYAS1w5QtXat2+dV37\\\n",
+       "oPWSHpd0g6TvdfI+h9W6R32rpKSuHUeSxg0Ypzd/9eZ/9Ri2tYVDHF3M4/HI4/Fo9erVamj45i8D\\\n",
+       "fPrpp/r88891+eWXt30uNjZWI0aMUFlZWSBHDQkdrXe4M8Zo62dbu/6Bo7/6+Eite8udceoEkm5d\\\n",
+       "P44kle0vC7lfXCHQXcztdmv58uV6/vnn1aNHD+Xm5uruu+/We++9J0n6/PPPJUlJSe13IZKSktpu\\\n",
+       "Q+d1tN7hrurLKjX7OlvQbyFS0jWS/lfSY5L+r6S3JJ3t7QS9aj3EkS7pgq4fR5KaWpp08MuD/nlw\\\n",
+       "hxBoP5gwYYIOHjyoNWvW6Morr1RZWZmGDRumRx991OnRQhLrfXYVBysUHRntnwfPlDRLUoGkAZL2\\\n",
+       "qzXU7562XYuk19R6HPoa/4wiSdGR0aqorvDfF3AAgfaTbt266bLLLtP999+vsrIy3XTTTXrwwQeV\\\n",
+       "mJgoSTp06FC77Q8dOqTevXs7MWpIONt6NzU1OT2ao7ZXbe/yd+JuJ0qtx6BHSfqNpB9Jekete8xS\\\n",
+       "a5xXSjok6UZJcf4b5WTTSW2v2u6/L+AAAh0gmZmZ8nq9SkpKUu/evdtOAZOkhoYGbd68WcOHD3dw\\\n",
+       "wtByar3D/bh06b9LA3v6WS9JPrUGukWtp9YdkjRFkp9PUGoxLSr9d6l/v0iAcZpdF6upqdHEiRNV\\\n",
+       "WFiowYMHKz4+XuXl5SoqKlJeXp4uuOAC3XnnnXr00UeVkZGh9PR0/elPf5LH41FBQYHT4wedjtY7\\\n",
+       "ISFBX3zxhT777DMdP956Eu6+ffvUo0cP9e7dO+R/atl9ZLd/HrhO0stq3WNOkhQj6aCkrZIuUuue\\\n",
+       "9ctffS7/q/ucOtOv21e3+4Hfnq9DCHQX83g8GjZsmJ566int27dPjY2NSklJUUFBgebMmSNJmj17\\\n",
+       "turr6zVjxgwdO3ZMP/7xj7V+/XrOgT4PnVnv1atXa+rUqW33mTZtmiTpgQce0IMPPujE2AFT7633\\\n",
+       "zwNHS+or6T1JX6h1jzlB0g/Veu7zCbWe4SFJi0+779VqDbsf1Df76fk6hPOggRAW9UhU0F9a9Ntw\\\n",
+       "R7jV/MfzP2vFtrZwDBoIYeH2Ltih9nwJNBDCIiO6+HeqLRdqz5dAAyHMHRFeLzNFRfjp1UeHEGgg\\\n",
+       "hMW6Y50eIaBio0Lr+RJoIIRl9sp0eoSACrXnS6CBEDYydWTIXqj/dJGuSI1MHen0GF0qPP7LAWFq\\\n",
+       "aMpQeaI9To8REN2ju2toylCnx+hSBBoIYdnJ2WpqCY/rkTS1NCm7T7bTY3QpAg2EsJT4lJA7s+Fs\\\n",
+       "oiOjlRyf7PQYXYpAAyHM5XLp0n6XOj1GQAz/7nC5XC6nx+hSBPo8zZ07V4MGDdLgwYOVlZWl0aNH\\\n",
+       "KysrSwMGDNAFF1ygrKwsZWVltb1LSlZWlq6//vp2jzFlyhT1799fWVlZuvjii7VhwwbNnTu37b6R\\\n",
+       "kZFt/75gwQInniZCwMxhM0P+OLQn2qNZubOcHqPLhddZ7F1k27ZtWrt2rd5//33FxMTo6NGjampq\\\n",
+       "UnJyst555x3Nnz9fa9eubdv+ww8/VEtLizZv3qyTJ0+qe/fubbfNmzdP1113nTZt2qTf/va32rt3\\\n",
+       "b9t7FXo8Hu3cuTPgzw+hJe+iPMVHx/v3utAOS4hJ0Jj+Y5weo8uxB30eqqurlZiYqJiYGElSYmKi\\\n",
+       "kpPPfuxrxYoVuuGGG3T55ZfrjTfeOOM2ubm5qqqq8su8CG8RrgjNyp2luCg/Xi3fQXFRcZqVOysk\\\n",
+       "TycMvWcUAJdffrn279+v9PR0TZ8+XaWl575I+EsvvaTrr79e+fn5WrFixRm3Wbduna65xo/vB4Sw\\\n",
+       "VvijwsBeuD+AfManqVlTO94wCBHo8+DxeFRRUaHFixerV69e+uUvf6nly5efcdvy8nIlJiaqX79+\\\n",
+       "ysvL044dO/TFF1+03f773/9e6enpKigo0D333BOgZ4Bw0zO2p67NuFZuV2gd1XRHuPWLjF+oZ2xP\\\n",
+       "p0fxCwJ9niIjIzVq1Cg99NBDWrhwoVauXHnG7VasWKE9e/YoLS1N3/ve93TixIl2286bN08ff/yx\\\n",
+       "Hn/8cRUWFgZqfIShosuKFOOOcXqMLtXN3U1FlxU5PYbfEOjz8NFHH2nv3r1tf965c6dSU1O/sZ3P\\\n",
+       "59PLL7+sDz74QJWVlaqsrNQbb7xxxsMct912m3w+n9566y2/zo7w1Tehr5668il1j+re8cZBoHtU\\\n",
+       "dz017imlJKQ4PYrfEOjzUFtbq8mTJyszM1ODBw/W7t27z/jWSZs3b1ZKSkq7FxBHjBih3bt3q7q6\\\n",
+       "ut22LpdLc+bMUVFR6O4NwHmFWYXKSc4J+suQRkVEaUjKkJA99nwKb3kFhJmqE1XKWJih2ubgPe3O\\\n",
+       "E+3Rnhl7unzv2ba2sAcNhJmUhBQt+NmCoD3tLi4qTguuXBDShzZOIdBAGJqaNVW/veS3QRfp7lHd\\\n",
+       "dXP2zSF/aOMUAg2EqSeueELX/eC6oIl0XFScrsu8TsWXFzs9SsAQaCBMuVwuLb16qSZmTrQ+0nFR\\\n",
+       "cZqYOVFLfr4k5C6IdC4EGghjkRGRWnb1Mt2cfbO1kY6LitMt2bdo2dXLQu5duztCoIEw53K59MQV\\\n",
+       "T2jhzxbKE+2x5hS8qIgoeaI9WvizhSq+ojis9pxPIdAAJLW+cLhnxh5d+t1LHf9llu5R3TX8u8O1\\\n",
+       "Z8aesHlB8EwINIA2KQkp2jR5kxZcuaB1bzrA1+5wR7jlifZowZULtGnyprA4le5cCDSAdlwulwp/\\\n",
+       "VKgPZ3yoSYMmqZu7m+Lc/j0+HeeOUzd3N03KnKQ9M/ao8EeFYXlI43R2HGwCYJ2+CX31woQXdKz+\\\n",
+       "mJbtXKb5ZfP1ZdOXXXrhf0+0RwnRCZo1fJamZk0N2avSnS8CDeCcesb21Mzcmbpz2J3a+OlGFW8r\\\n",
+       "Vtn+MjW1NCk6Mlq1TbWdutZ0hCtCnmhP2/2Gf3e4ZuXO0pj+Y0LyYvtdgUAD6JQIV4TGXjRWYy8a\\\n",
+       "K2OMDn55UBXVFdpetV2l/y7V7iO7Vd9cr2Zfs1p8LYqMiFRURJRio2KV2StTI1NHamjKUGX3yVZy\\\n",
+       "fDKHMDqBQAP41lwul1ISUpSSkKKfD/y50+OELH6uAABLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSB\\\n",
+       "BgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBQXS0LHuOqYc4xxegI4iD1oALAUe9DoPPbmgIBiDxoA\\\n",
+       "LEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWg\\\n",
+       "AcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBS\\\n",
+       "BBoALEWgAcBSBBoALEWgAcBSBBoALEWgAcBSBBoALEWg/eDIkSOaPn260tLSFBMTo6SkJOXl5amk\\\n",
+       "pESS9Mc//lEZGRnq3r27evbsqby8PJWVlTk8dfDqaL2/7uabb5bL5dL8+fMdmDS0dLTuU6ZMkcvl\\\n",
+       "avcxbNgwh6cOLm6nBwhFEyZMUF1dnZYsWaIBAwbo8OHDKi0tVU1NjSRp4MCBWrRokfr376/6+no9\\\n",
+       "+eSTGjdunPbu3aukpCSHpw8+Ha33Ka+++qq2b9+u5ORkhyYNLZ1Z97Fjx+q5555r+3N0dLQTowYv\\\n",
+       "E4Sys7OdHuGsjh07ZiSZkpKSTt/nP//5j5Fk1q1b58fJ/gtS64eFOrvelZWVJjk52ezevdukpqaa\\\n",
+       "efPmBWjC0NSZdZ88ebK56qqrAjjVf8+2tnCIo4t5PB55PB6tXr1aDQ0NHW7f1NSkxYsXKyEhQVlZ\\\n",
+       "WQGYMLR0Zr29Xq/y8/M1Z84c/eAHPwjwhKGps9/nW7Zs0YUXXqj09HRNmzZNhw8fDuCUwY9AdzG3\\\n",
+       "263ly5fr+eefV48ePZSbm6u7775b7733Xrvt1q5dK4/Ho27duunJJ59USUkJhzfOQ2fW+4EHHlBi\\\n",
+       "YqJuvfVWBycNLZ1Z93HjxunZZ5/Vhg0bVFxcrO3bt2vMmDFqbGx0cPIg4/Qu/Pmw7ceQM6mvrzfr\\\n",
+       "1683Dz30kMnNzTWSzNy5c9tur62tNXv37jXbtm0zhYWFJjU11Rw8eNDBic/B4kMcp5xtvTdt2mSS\\\n",
+       "k5PN4cOH27blEEfX6ej7/OuqqqqM2+02K1euDPCUnWdbW+z+v+4sbFvEzrjppptMVFSUaWxsPOPt\\\n",
+       "AwYMMA8//HCAp+qkIAj06U6t93333WdcLpeJjIxs+5BkIiIiTEpKitNjhpyOvs/T0tLMY489FuCp\\\n",
+       "Os+2tnAWR4BkZmbK6/WqoaHhjK9k+3w+fvTrQqfW+5ZbblFBQUG726644grl5+dr2rRpDk0Xus71\\\n",
+       "fX706FFVVVWpT58+Dk0XfAh0F6upqdHEiRNVWFiowYMHKz4+XuXl5SoqKlJeXp4kac6cORo/frz6\\\n",
+       "9OmjI0eOaNGiRTpw4IAmTZrk8PTBp6P17tev3zfuExUVpd69e2vgwIEOTBwaOlr3iIgI3X333Zow\\\n",
+       "YYL69OmjyspK3Xfffbrwwgt17bXXOj1+0CDQXczj8WjYsGF66qmntG/fPjU2NiolJUUFBQWaM2eO\\\n",
+       "3G63du3apaVLl6qmpkbf+c53NGTIEL377rsaPHiw0+MHnY7WG/7R0bpHRkbqgw8+0LPPPqvjx4+r\\\n",
+       "T58+Gj16tF5++WXFx8c7PX7QcBljjNNDfFs5OTkqLy93eozw4XK1/jP4vlWAb8W2tnCaHQBYikAD\\\n",
+       "gKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUI\\\n",
+       "NABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABY\\\n",
+       "ikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikAD\\\n",
+       "gKUINABYikADgKUINABYyu30AOelokJyuZyeAvAfvr+dkZ3t9ATtsAcNAJYKzj3o7GypvNzpKQD/\\\n",
+       "McbpCcJTTo7TE7TDHjQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4Cl\\\n",
+       "CDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQA\\\n",
+       "WIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCLQfHDly\\\n",
+       "RNOnT1daWppiYmKUlJSkvLw8lZSUtG3z8ccf6xe/+IV69OihuLg4XXLJJfrwww8dnDp4dbTeLpfr\\\n",
+       "jB8zZsxwePLg1tG619bW6vbbb1ffvn0VGxurgQMH6sknn3R46uDidnqAUDRhwgTV1dVpyZIlGjBg\\\n",
+       "gA4fPqzS0lLV1NRIkj799FNdeumluvHGG7Vx40b16NFDe/bskcfjcXjy4NTReldXV7fbvry8XOPH\\\n",
+       "j9ekSZOcGDdkdLTuM2fO1Ntvv63nnntO/fv317vvvqtp06YpMTFRN9xwg8PTBwkThLKzs50e4ayO\\\n",
+       "HTtmJJmSkpKzbpOfn28KCgoCOFXo6sx6n+43v/mNSU9P9+NUoa8z6z5o0CBz//33t/vciBEjzIwZ\\\n",
+       "M/w93nmzrS0c4uhiHo9HHo9Hq1evVkNDwzdu9/l8WrNmjTIzMzVu3Dj16tVLQ4YM0UsvveTAtMGv\\\n",
+       "o/U+XW1trV588UVNmzYtANOFrs6s+09+8hOtWbNG+/fvlySVlZVp586dGjduXCBHDW5O/w1xPmz7\\\n",
+       "W+50r776qunZs6eJiYkxw4YNM7NmzTL//Oc/jTHGVFdXG0kmLi7OFBcXmx07dpji4mITGRlp1q5d\\\n",
+       "6/Dkwelc6326Z555xkRHR5vDhw8HeMrQ09G6NzY2milTphhJxu12G7fbbZ5++mkHJ+6YbW0h0H5S\\\n",
+       "X19v1q9fbx566CGTm5trJJm5c+eaqqoqI8nk5+e32z4/P9+MGzfOoWmD39nW+3Q5OTlm4sSJDkwY\\\n",
+       "ms617vPnzzfp6elm9erV5l//+pf585//bLp3727efPNNh6c+O9vaQqAD5KabbjJRUVGmsbHRuN1u\\\n",
+       "88gjj7S7/eGHHzaZmZkOTRd6vr7ep+zYscNIMuvXr3dwstB2at2PHz9uoqKizKpVq75xe15enkPT\\\n",
+       "dcy2tnAMOkAyMzPl9XrV0NCgIUOG6KOPPmp3+8cff6zU1FSHpgs9X1/vUxYvXqz+/ftr7NixDk4W\\\n",
+       "2k6tu8vlUnNzsyIjI9vdHhkZKZ/P59B0wYfT7LpYTU2NJk6cqMLCQg0ePFjx8fEqLy9XUVGR8vLy\\\n",
+       "lJCQoNmzZ2vSpEn66U9/qjFjxmjTpk168cUXtWrVKqfHDzqdWW9Jqqur0wsvvKDZs2fL5XI5PHXw\\\n",
+       "68y6jxw5Uvfee688Ho9SU1NVWlqqZ599VkVFRU6PHzyc3oU/H7b9GPJ1DQ0N5r777jM5OTmmR48e\\\n",
+       "JjY21gwYMMDcddddpqampm27ZcuWme9///umW7du5oc//KH529/+5uDUwauz67106VITGRlpqqqq\\\n",
+       "HJw2dHRm3aurq82UKVNMcnKy6datmxk4cKCZN2+e8fl8Dk9/dra1xWWMMU7/JfFt5eTkqLy83Okx\\\n",
+       "AIQY29rCMWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBgBLEWgAsBSBBnBOhw4dUkFB\\\n",
+       "gS666CJlZ2crNzdXr7/+uiRpy5YtGjp0qDIyMpSRkaHFixe3u6/X61WvXr107733tvv8qFGjrPqN\\\n",
+       "PVsRaABnZYzRNddcoxEjRuiTTz5RRUWFXnzxRR04cECff/65CgoK9Je//EV79uzRli1b9Mwzz+jv\\\n",
+       "f/972/1LSkqUnp6uV155RUF4VQnHEWgAZ7Vx40ZFR0frlltuaftcamqqbr/9di1atEhTpkzRJZdc\\\n",
+       "IklKTExUUVGRHnvssbZtV6xYoTvuuEP9+vXTtm3bAj5/sCPQAM5q165dbQE+023Z2dntPpeTk6Nd\\\n",
+       "u3ZJkhoaGvT2229r/Pjxys/P14oVK/w+b6gh0AA6bcaMGbr44os1ZMiQDrddu3atRo8erdjYWE2Y\\\n",
+       "MEGrVq1SS0tLAKYMHQQawFkNGjRI77//ftufFy1apA0bNujIkSPKzMxURUVFu+0rKio0aNAgSa2H\\\n",
+       "N95++22lpaUpOztbNTU12rhxY0DnD3YEGsBZjRkzRg0NDXr66afbPldXVyepdW96+fLl2rlzp6TW\\\n",
+       "d1m55557NHv2bJ04cUKbN2/WZ599psrKSlVWVmrRokUc5viWCDSAs3K5XFq1apVKS0vVv39/DR06\\\n",
+       "VJMnT9bjjz+uPn366Pnnn9e0adOUkZGh4cOHq7CwUOPHj9frr7+uMWPGKCYmpu2xrr76aq1Zs0aN\\\n",
+       "jY2SpKuuukp9+/ZV3759NXHiRKeeotV4RxUA+IptbWEPGgAsRaABwFIEGgAsRaABwFIEGgAsRaAB\\\n",
+       "wFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIE\\\n",
+       "GgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIEGgAsRaABwFIuY4xxeohvKzExUWlpaU6PASDEVFZW\\\n",
+       "6ujRo06P0SYoAw0A4YBDHABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQIN\\\n",
+       "AJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi\\\n",
+       "0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABg\\\n",
+       "KQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgqf8P5OQczbuKMHYAAAAASUVORK5C\\\n",
+       "YII=\\\n",
+       "\"\n",
+       "  frames[3] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAdTElEQVR4nO3df1jV9f3/8ceBAwgcED7DCwWn2EwZ\\\n",
+       "XTkL9BJqWuJS2+Vq+aNBZUa5mvZjibP6ZrVadRWJfWq5yu9Xcc3Sfpu69QNTycRyoK4uS6vPdCrS\\\n",
+       "JNIRIj8O5/X9g8lHTIUYh/frHO636/IPOW/OeZ6XXnffvnjzxmWMMQIAWCfE6QEAAKdGoAHAUgQa\\\n",
+       "ACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxF\\\n",
+       "oAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHA\\\n",
+       "UgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQa\\\n",
+       "ACxFoAHAUm6nB+iMhIQEpaSkOD0GgCCzd+9effXVV06P0SogA52SkqKysjKnxwAQZDIyMpweoQ22\\\n",
+       "OADAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHA\\\n",
+       "UgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQa\\\n",
+       "ACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgTaD6qqqjRr1iylpKQoIiJCiYmJys7O\\\n",
+       "VnFxsSTJGKPf/va3SkpKUmRkpC666CLt3LnT4akDV3vr/dprr2n8+PHq06ePXC6XNm7c6OzAQeJM\\\n",
+       "697U1KQ77rhDw4YNU3R0tPr166fc3Fzt27fP6bEDitvpAYLR5MmTVVdXpyVLlmjw4ME6dOiQSkpK\\\n",
+       "VF1dLUkqKChQYWGhli1bpqFDh+qBBx7QT37yE+3evVsxMTEOTx942lvvo0ePKisrS1dffbWmT5/u\\\n",
+       "8LTB40zrXldXp23btunuu+/W8OHD9a9//Uv5+fmaMGGCPvroI7ndpKdDTABKT093eoTTOnz4sJFk\\\n",
+       "iouLT/m4z+czffv2NQ8++GDrx+rq6ozH4zHPPPNMd40ZNNpb7xNVVVUZSWbDhg3+HyzIfZd1P27n\\\n",
+       "zp1Gkvnoo4/8ONl/xra2sMXRxTwejzwej1avXq36+vpvPb5nzx59+eWXuuSSS1o/FhkZqdGjR6u0\\\n",
+       "tLQ7Rw0K7a03/KMz615TUyNJio+P9+doQYVAdzG3261ly5Zp+fLliouLU2ZmpubOnasPP/xQkvTl\\\n",
+       "l19KkhITE9t8XmJiYutj6Lj21hv+8V3XvbGxUfn5+Zo0aZL69+/fzdMGLgLtB5MnT9bBgwe1Zs0a\\\n",
+       "TZw4UaWlpRo1apQefvhhp0cLSqy3Mzq67l6vV1dffbWOHDmioqIih6YNUE7vsXSGbftEHXH99deb\\\n",
+       "sLAws3v3biPJbN26tc3jl156qZk+fbpD0wWf4+vd0NDQ+jH2oP3v5HVvamoyU6ZMMUOHDjWVlZUO\\\n",
+       "T9c+29rCGXQ3SUtLk9frVWJiovr27dt6CZgk1dfXa9OmTcrKynJwwuByfL3Zl+5eJ657U1OTrrzy\\\n",
+       "Sn300UfasGGD+vbt6/R4AYdrXbpYdXW1pk6dqry8PA0bNkwxMTEqKytTQUGBsrOz1bt3b/3617/W\\\n",
+       "ww8/rNTUVA0ZMkQPPvigPB6PcnNznR4/4LS33rGxsfr666+1b98+HTlyRJL0xRdfKC4uTn379iUa\\\n",
+       "ndTeukdFRWnKlCn661//qjVr1sjlcrV+jaV3796KjIx0+B0ECKdP4TvDtv+GnKi+vt7cddddJiMj\\\n",
+       "w8TFxZnIyEgzePBgc/vtt5vq6mpjTMuldvfdd5/p27eviYiIMKNHjzYff/yxw5MHpo6sd1FRkZH0\\\n",
+       "rV/33Xefs8MHsPbWfc+ePadcc0mmqKjI6fFPy7a2uIwxxqF/GzotIyNDZWVlTo8BIMjY1hb2oAHA\\\n",
+       "UgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACzFzZI66aGHHtILL7yg0NBQ\\\n",
+       "hYSEKD4+XocPH1Ztba2qqqo0aNAgSdIf/vAHZWVlafjw4UpNTdXKlStbn2PGjBkqKSlR7969ZYzR\\\n",
+       "woUL9cEHH+jll1+WJH388cc699xzJUl5eXm69dZbu/+NAnAMge6ELVu2aO3atdq2bZsiIiL01Vdf\\\n",
+       "qbGxUUlJSdq4caMWLFigtWvXth7/6aefqrm5WZs2bdLRo0cVHR3d+thjjz2mKVOmaMOGDfrlL3+p\\\n",
+       "zz//XHfffbeklh8rtGPHjm5/fwDswBZHJ1RWViohIUERERGSpISEBCUlJZ32+BUrVuiaa67RJZdc\\\n",
+       "ojfeeOOUx2RmZqqiosIv8wIITAS6Ey655BLt379fQ4YM0axZs1RSUnLG41988UX94he/UE5Ojlas\\\n",
+       "WHHKY9566y1dfvnl/hgXQIAi0J3g8XhUXl6uxYsXq0+fPrryyiu1bNmyUx5bVlamhIQEDRgwQNnZ\\\n",
+       "2dq+fbu+/vrr1sd/85vfaMiQIcrNzdUdd9zRTe8AQCAg0J0UGhqqiy66SPfff7+eeuopvfrqq6c8\\\n",
+       "bsWKFdq1a5dSUlL0gx/8QDU1NW2Ofeyxx/TZZ5/p0UcfVV5eXneNDyAAEOhO2L17tz7//PPW3+/Y\\\n",
+       "sUMDBw781nE+n08vvfSSPv74Y+3du1d79+7VG2+8ccptjptvvlk+n09vv/22X2cHEDi4iqMTamtr\\\n",
+       "dcstt+jIkSNyu90aPHiwFi9e/K3jNm3apOTk5DZfQBw9erQ++eQTVVZWtjnW5XJp/vz5Kigo0Pjx\\\n",
+       "4/3+HgDYjx95BQD/Zltb2OIAAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsR\\\n",
+       "aACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACw\\\n",
+       "FIEGAEsRaACwFIEGAEu5nR4AAcDlcnqCnssYpyeAgziDBgBLcQaNjuNsDuhWnEEDgKUINABYikAD\\\n",
+       "gKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKW4mx2A78wYo4pv\\\n",
+       "KlR+sFxbK7aq5B8l+qTqEx3zHpPX51Wzr1mhIaFyh7gV6Y5UWp80jRk4RiOTRyo9KV3JMclycZ/x\\\n",
+       "dhFoAB3iMz69+/d3tfCDhdq8b7O8Pq/CQsNU21grn/F963ivzyuvz6t6b70279+sLQe2yBPuUWNz\\\n",
+       "o8JCwnTBgAs0Z9QcZZ+VrRAX/5k/FQIN4IwOHzuspduXqnBLob5p/Ea1jbWtjx3zHuvw8/iMTzUN\\\n",
+       "NZKketXrrS/e0vv73ldMeIzyM/OVd16e4iPju3z+QMY/WwBO6UDNAeW+mqukhUm6d+O9qqytbBPn\\\n",
+       "rlDbWKvK2krdu/FeJS1M0lWvXqUDNQe69DUCGYEG0IYxRku2L1HqU6l6eefLqvfWq66pzq+vWddU\\\n",
+       "p3pvvV7a+ZJSn0rVku1LZPgJPgQawP+qqKnQxX+8WLe9eZuONh2V13i79fW9xqujTUd125u36eI/\\\n",
+       "XqyKmopufX3bEGgAkqSiHUVKfSpVm/dv1tGmo47OcrTpqDbv36zURakq2lHk6CxOItBAD2eM0e1v\\\n",
+       "3a6b/3Kzaptq5fV171nz6Xh9XtU21urmv9ysOW/P6ZFbHgQa6MGafc2asWqGFm9b7Pd95s6qa6rT\\\n",
+       "s+XP6ro3rlOzr9npcboVl9kBPZQxRnlv5OmVT1+xNs7H1TXV6eVPXpYkFV1W1GO+yYUzaKCHmvP2\\\n",
+       "HL366avWx/m445HOfyff6VG6DYEGeqCiHUVavG2x418M/K6Ob3f0lC8cEmigh6moqdCtf7k1YM6c\\\n",
+       "T1bXVKdb37y1R1yCR6CBHsQYo9zXclXfXO/0KP+RBm+DrnrtqqC/soNAAz3I0h1LVX6w3JpL6Tqr\\\n",
+       "ydeksoNlQb/VQaCBHuJAzYHW7xAMBkebjuq2t24L6q0OAg30EPOK56nB2+D0GF2q3luvecXznB7D\\\n",
+       "bwg00AMcPnZYr+96vdvvreFvXp9Xr+16TYePHXZ6FL8g0EAPsHT70qC9KX6IKyRo96KD808MQCuf\\\n",
+       "8alwS2HAXlbXnrqmOhWWFp7yp7oEOgLtB1VVVZo1a5ZSUlIUERGhxMREZWdnq7i4WJJ0zz33KDU1\\\n",
+       "VdHR0YqPj1d2drZKS0sdnjpwtbfeJ7rxxhvlcrm0YMECByZ1xrt/f1ffNH7T9U98VNJaSY9L+p2k\\\n",
+       "xyT9UdL//Pvx1yX99qRf/7frx5CkmsYard+z3j9P7iDuxeEHkydPVl1dnZYsWaLBgwfr0KFDKikp\\\n",
+       "UXV1tSRp6NChWrRokQYNGqRjx47p8ccf14QJE/T5558rMTHR4ekDT3vrfdwrr7yirVu3KikpyaFJ\\\n",
+       "nbHwg4Vd/pNQJEkvSmqSdJmk/1JLsPdKOvFE/SxJPz/h96FdP4bU8pNZCrcUatxZ4/zzAg5xmQC8\\\n",
+       "0jsjI0NlZWVOj3FKR44cUXx8vIqLizVuXMf+stTU1Kh379566623NH78eD9P2AnHb0xj4V+Vjq73\\\n",
+       "P/7xD2VlZWndunWaOHGibr75Zs2dO7cbJ3WGMUa9H+nd9WfQxyQ9KukaST84zTGvqyXWV3XtS59O\\\n",
+       "bESsjtxx5D+6kZJtbWGLo4t5PB55PB6tXr1a9fXtf7dWY2OjFi9erNjYWA0fPrwbJgwuHVlvr9er\\\n",
+       "nJwczZ8/Xz/84Q+7eUJnVXxToSZfU9c/cfi/f+1Wy1n06eyTVCDpSUmrJfnhRP64xuZGHfzmoP9e\\\n",
+       "wAEEuou53W4tW7ZMy5cvV1xcnDIzMzV37lx9+OGHbY5bu3atPB6PevXqpccff1zFxcVsb3RCR9b7\\\n",
+       "vvvuU0JCgn71q185OKkzyg+WKzw0vOufOFTS5ZI+kvSIpP8n6W1JJ/6818Fq2d64VtJ4SRVq2aP2\\\n",
+       "05V+4aHhKq8s98+TO4RA+8HkyZN18OBBrVmzRhMnTlRpaalGjRqlhx9+uPWYiy++WDt27FBpaakm\\\n",
+       "TJigadOmqbKy0sGpA9eZ1nvjxo1atmyZlixZ4vSYjthasdU/+8+SlCYpX1KuWmK8Xy2hfu/fj58r\\\n",
+       "KVVSoqShatnqqJb0mX/GOdp4VFsrtvrnyR3CHnQ3ueGGG/Tcc8+ptrZW4eHfPqM5++yzNX36dN1z\\\n",
+       "zz0OTNcOi/egT+f4es+dO1ePPPKIQkL+91ykublZISEh6tevnw4cOHCGZwl8Fy69UJv3b+6+F3xD\\\n",
+       "0t8k/R+d+hKE/5aUIelC/7z8hQMu1KbrNnX6821rC1dxdJO0tDR5vV7V19efMtA+n08NDcH1bbhO\\\n",
+       "Or7eN910k3Jzc9s8Nn78eOXk5GjmzJkOTdd9Pqn6pHtfsI8kn1q2MU6uy1FJNZI8/nv5bn+/fkag\\\n",
+       "u1h1dbWmTp2qvLw8DRs2TDExMSorK1NBQYGys7MlSfPnz9ekSZPUr18/VVVVadGiRTpw4ICmTZvm\\\n",
+       "8PSBp731HjBgwLc+JywsTH379tXQoUMdmLh7HfMe888T10l6SdJ5atnCiJB0UNJmtVxa51LLnnSa\\\n",
+       "WoJ8RNK7kqIl+fHrtMea/PR+HUKgu5jH49GoUaP0xBNP6IsvvlBDQ4OSk5OVm5ur+fPny+12a+fO\\\n",
+       "nVq6dKmqq6v1ve99TyNGjNB7772nYcOGOT1+wGlvvXs6v91WNFxSf0kfSvpaLWfMsWrZdx6tlq9u\\\n",
+       "HVLLdke9pBhJKZKmqiXmfuKXK1YcxB402heAe9BoEXJ/iIx6zp+bSy757uv8t3zb1hau4gCCWGiI\\\n",
+       "n751z1LB9n4JNBDE3CE9axczLCTM6RG6FIEGglikO9LpEbpVZFhwvV8CDQSxtD5pTo/QrYLt/RJo\\\n",
+       "IIiNGTgmaG/Uf7JQV6jGDBzj9Bhdqmf8yQE91MjkkfKE+/E7QywSHR6tkckjnR6jSxFoIIilJ6Wr\\\n",
+       "sbnR6TG6RWNzo9L7pTs9Rpci0EAQS45JDrorG04nPDRcSTHB9cMYCDQQxFwuly4YcIHTY3SLrO9n\\\n",
+       "/Uc367cRgQaC3JxRc4J+H9oT7lF+Zr7TY3Q5Ag0EueyzshUTHuP0GH4VGxGrsYPGOj1GlyPQQJAL\\\n",
+       "cYUoPzNfUWFRTo/iF1FhUcrPzA/KywmD7x0B+Ja88/LkM52/iZDNfMan64Zf5/QYfkGggR4gPjJe\\\n",
+       "P0/9udyu4Lo3hzvErStSr1B8ZLzTo/gFgQZ6iIKfFCjC7cebMTugl7uXCn5S4PQYfkOggR6if2x/\\\n",
+       "PTHxCUWHRTs9SpeIDovWExOeUHJsstOj+A2BBnqQvOF5ykjKCPjbkIaFhGlE8oig3Xs+jkADPYjL\\\n",
+       "5dLzVzyvXqG9nB7lPxLhjtDyny8Pum9MORmBBnqY5NhkPXnpkwF72V1UWJSenPhkUG9tHEeggR7o\\\n",
+       "uuHX6Zfn/zLgIh0dFq0b028M+q2N4wg00EMtHL9QU344JWAiHRUWpSlpU1R4SaHTo3QbAg30UC6X\\\n",
+       "S0svW6qpaVOtj3RUWJSmpk3Vkp8tCfp95xMRaKAHCw0JVdFlRbox/UZrIx0VFqWb0m9S0WVFQfdT\\\n",
+       "u9tDoIEezuVyaeH4hXrq0qfkCfdYcwleWEiYPOEePXXpUyocX9ijzpyPI9AAJLV84XDX7F264PsX\\\n",
+       "OP7NLNFh0cr6fpZ2zd7VY74geCoEGkCr5Nhkbbh2g56c+GTL2XQ337vDHeKWJ9yjJyc+qQ3XbugR\\\n",
+       "l9KdCYEG0IbL5VLeeXn6dPanmnbONPVy91KU27/701HuKPVy99K0tGnaNXuX8s7L65FbGiezY7MJ\\\n",
+       "gHX6x/bX85Of1+Fjh1W0o0gLShfom8ZvVNtY22Wv4Qn3KDY8VvlZ+bpu+HVBe1e6ziLQAM4oPjJe\\\n",
+       "czLn6Nejfq31e9arcEuhSveXqrG5UeGh4aptrO3QvaZDXCHyhHtaPy/r+1nKz8zX2EFjg/Jm+12B\\\n",
+       "QAPokBBXiMadNU7jzhonY4wOfnNQ5ZXl2lqxVSX/KNEnVZ/oWNMxNfma1OxrVmhIqMJCwhQZFqm0\\\n",
+       "PmkaM3CMRiaPVHq/dCXFJLGF0QEEGsB35nK5lBybrOTYZP1s6M+cHido8f8KALAUgQYASxFoALAU\\\n",
+       "gQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASwXmzZLKyyXuhIVgxt9vZ6Sn\\\n",
+       "Oz1BG5xBA4ClAvMMOj1dKitzegrAf4xxeoKeKSPD6Qna4AwaACxFoAHAUgQaACxFoAHAUgQaACxF\\\n",
+       "oAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHA\\\n",
+       "UgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQa\\\n",
+       "ACxFoAHAUgQaACxFoAHAUgTaD6qqqjRr1iylpKQoIiJCiYmJys7OVnFxcesxn332ma644grFxcUp\\\n",
+       "KipK559/vj799FMHpw5c7a23y+U65a/Zs2c7PHlga2/da2trdcstt6h///6KjIzU0KFD9fjjjzs8\\\n",
+       "dWBxOz1AMJo8ebLq6uq0ZMkSDR48WIcOHVJJSYmqq6slSXv27NEFF1yg6dOna/369YqLi9OuXbvk\\\n",
+       "8XgcnjwwtbfelZWVbY4vKyvTpEmTNG3aNCfGDRrtrfucOXO0bt06/elPf9KgQYP03nvvaebMmUpI\\\n",
+       "SNA111zj8PQBwgSg9PR0p0c4rcOHDxtJpri4+LTH5OTkmNzc3G6cKnh1ZL1PdsMNN5ghQ4b4carg\\\n",
+       "15F1P+ecc8y9997b5mOjR482s2fP9vd4nWZbW9ji6GIej0cej0erV69WfX39tx73+Xxas2aN0tLS\\\n",
+       "NGHCBPXp00cjRozQiy++6MC0ga+99T5ZbW2tVq5cqZkzZ3bDdMGrI+t+4YUXas2aNdq/f78kqbS0\\\n",
+       "VDt27NCECRO6c9TA5vS/EJ1h279yJ3vllVdMfHy8iYiIMKNGjTL5+fnmgw8+MMYYU1lZaSSZqKgo\\\n",
+       "U1hYaLZv324KCwtNaGioWbt2rcOTB6YzrffJnn32WRMeHm4OHTrUzVMGn/bWvaGhwcyYMcNIMm63\\\n",
+       "27jdbvP00087OHH7bGsLgfaTY8eOmXfeecfcf//9JjMz00gyDz30kKmoqDCSTE5OTpvjc3JyzIQJ\\\n",
+       "ExyaNvCdbr1PlpGRYaZOnerAhMHpTOu+YMECM2TIELN69Wrzt7/9zfz+97830dHR5s0333R46tOz\\\n",
+       "rS0Euptcf/31JiwszDQ0NBi3221+97vftXn8gQceMGlpaQ5NF3xOXO/jtm/fbiSZd955x8HJgtvx\\\n",
+       "dT9y5IgJCwszq1at+tbj2dnZDk3XPtvawh50N0lLS5PX61V9fb1GjBih3bt3t3n8s88+08CBAx2a\\\n",
+       "LvicuN7HLV68WIMGDdK4ceMcnCy4HV93l8ulpqYmhYaGtnk8NDRUPp/PoekCD5fZdbHq6mpNnTpV\\\n",
+       "eXl5GjZsmGJiYlRWVqaCggJlZ2crNjZW8+bN07Rp0/TjH/9YY8eO1YYNG7Ry5UqtWrXK6fEDTkfW\\\n",
+       "W5Lq6ur0/PPPa968eXK5XA5PHfg6su5jxozRnXfeKY/Ho4EDB6qkpETPPfecCgoKnB4/cDh9Ct8Z\\\n",
+       "tv035ET19fXmrrvuMhkZGSYuLs5ERkaawYMHm9tvv91UV1e3HldUVGTOPvts06tXL3PuueeaF154\\\n",
+       "wcGpA1dH13vp0qUmNDTUVFRUODht8OjIuldWVpoZM2aYpKQk06tXLzN06FDz2GOPGZ/P5/D0p2db\\\n",
+       "W1zGGOP0PxLfVUZGhsrKypweA0CQsa0t7EEDgKUINABYikADgKUINABYikADgKUINABYikADgKUI\\\n",
+       "NABYikADgKUINIAz+uc//6nc3FydddZZSk9PV2Zmpl5//XVJ0vvvv6+RI0cqNTVVqampWrx4cZvP\\\n",
+       "9Xq96tOnj+688842H7/ooous+o49WxFoAKdljNHll1+u0aNH6+9//7vKy8u1cuVKHThwQF9++aVy\\\n",
+       "c3P1zDPPaNeuXXr//ff17LPP6s9//nPr5xcXF2vIkCF6+eWXFYB3lXAcgQZwWuvXr1d4eLhuuumm\\\n",
+       "1o8NHDhQt9xyixYtWqQZM2bo/PPPlyQlJCSooKBAjzzySOuxK1as0G233aYBAwZoy5Yt3T5/oCPQ\\\n",
+       "AE5r586drQE+1WPp6eltPpaRkaGdO3dKkurr67Vu3TpNmjRJOTk5WrFihd/nDTYEGkCHzZ49Wz/6\\\n",
+       "0Y80YsSIdo9du3atLr74YkVGRmry5MlatWqVmpubu2HK4EGgAZzWOeeco23btrX+ftGiRXr33XdV\\\n",
+       "VVWltLQ0lZeXtzm+vLxc55xzjqSW7Y1169YpJSVF6enpqq6u1vr167t1/kBHoAGc1tixY1VfX6+n\\\n",
+       "n3669WN1dXWSWs6mly1bph07dkhq+Skrd9xxh+bNm6eamhpt2rRJ+/bt0969e7V3714tWrSIbY7v\\\n",
+       "iEADOC2Xy6VVq1appKREgwYN0siRI3Xttdfq0UcfVb9+/bR8+XLNnDlTqampysrKUl5eniZNmqTX\\\n",
+       "X39dY8eOVUREROtzXXbZZVqzZo0aGhokST/96U/Vv39/9e/fX1OnTnXqLVqNn6gCAP9mW1s4gwYA\\\n",
+       "SxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFo\\\n",
+       "ALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALAUgQYASxFoALCU\\\n",
+       "yxhjnB7iu0pISFBKSorTYwAIMnv37tVXX33l9BitAjLQANATsMUBAJYi0ABgKQINAJYi0ABgKQIN\\\n",
+       "AJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi\\\n",
+       "0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABg\\\n",
+       "KQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQIN\\\n",
+       "AJb6/+OdGFD1LYaEAAAAAElFTkSuQmCC\\\n",
+       "\"\n",
+       "  frames[4] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAdQklEQVR4nO3dfVTUdf738dfAAAIDwrUYCm5ia8pF\\\n",
+       "V64b6FFrNcVNao/doZZsmVK2He1mk1brdLe11dko7NTmVp5Lcc3S7k1tu6E00rBcUDaPpdW18lOR\\\n",
+       "ViRdQuRmmM/1hytHTcPYmfl+Znw+zvEPmS/Mm88Zn3758OWLyxhjBACwToTTAwAAToxAA4ClCDQA\\\n",
+       "WIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpA\\\n",
+       "A4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4Cl\\\n",
+       "CDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQA\\\n",
+       "WIpAA4Cl3E4P0B0pKSnKyMhwegwAYaampkb79u1zeoxOIRnojIwMVVZWOj0GgDCTk5Pj9AjHYIsD\\\n",
+       "ACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxF\\\n",
+       "oAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHA\\\n",
+       "UgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAOgvr5eM2fOVEZGhmJiYpSamqrc3FyV\\\n",
+       "lZVJkowx+sMf/qC0tDTFxsbqwgsv1NatWx2eOnR1td6vv/66xo8fr169esnlcunDDz90duAw8UPr\\\n",
+       "3t7errlz52rw4MGKj49Xnz59VFBQoJ07dzo9dkhxOz1AOMrPz1dzc7MWLlyoAQMGaO/evSovL1dD\\\n",
+       "Q4Mkqbi4WCUlJVq8eLEGDRqkBx98UL/61a+0fft2JSQkODx96OlqvQ8ePKiRI0fqmmuu0dSpUx2e\\\n",
+       "Nnz80Lo3Nzdr06ZNuvvuuzVkyBD9+9//VlFRkfLy8vTZZ5/J7SY9p8SEoOzsbKdHOKn9+/cbSaas\\\n",
+       "rOyEj/t8PtO7d2/z0EMPdb6tubnZeDwe8+yzzwZrzLDR1Xofrb6+3kgya9euDfxgYe7HrPsRW7du\\\n",
+       "NZLMZ599FsDJ/ju2tYUtDj/zeDzyeDxauXKlWlpavvf4jh079M033+iiiy7qfFtsbKxGjRqlioqK\\\n",
+       "YI4aFrpabwRGd9a9sbFRkpScnBzI0cIKgfYzt9utxYsXa+nSpUpKStKIESN0xx136NNPP5UkffPN\\\n",
+       "N5Kk1NTUY94vNTW18zGcuq7WG4HxY9e9ra1NRUVFmjBhgvr27RvkaUMXgQ6A/Px87dmzR6tWrdLF\\\n",
+       "F1+siooKDR8+XI888ojTo4Ul1tsZp7ruXq9X11xzjQ4cOKDS0lKHpg1RTu+xdIdt+0Sn4vrrrzdR\\\n",
+       "UVFm+/btRpLZuHHjMY9fcsklZurUqQ5NF36OrHdra2vn29iDDrzj1729vd1MnDjRDBo0yNTV1Tk8\\\n",
+       "Xddsawtn0EGSlZUlr9er1NRU9e7du/MSMElqaWnRunXrNHLkSAcnDC9H1pt96eA6et3b29t11VVX\\\n",
+       "6bPPPtPatWvVu3dvp8cLOVzr4mcNDQ2aNGmSCgsLNXjwYCUkJKiyslLFxcXKzc1Vz5499bvf/U6P\\\n",
+       "PPKIMjMzNXDgQD300EPyeDwqKChwevyQ09V6JyYm6ttvv9XOnTt14MABSdLXX3+tpKQk9e7dm2h0\\\n",
+       "U1frHhcXp4kTJ+rvf/+7Vq1aJZfL1fk9lp49eyo2NtbhzyBEOH0K3x22fRlytJaWFnPXXXeZnJwc\\\n",
+       "k5SUZGJjY82AAQPM7bffbhoaGowxhy+1u//++03v3r1NTEyMGTVqlNmyZYvDk4emU1nv0tJSI+l7\\\n",
+       "f+6//35nhw9hXa37jh07TrjmkkxpaanT45+UbW1xGWOMQ/83dFtOTo4qKyudHgNAmLGtLexBA4Cl\\\n",
+       "CDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIqbJXXTww8/rBdffFGRkZGK\\\n",
+       "iIhQcnKy9u/fr6amJtXX16t///6SpL/85S8aOXKkhgwZoszMTC1fvrzzY0ybNk3l5eXq2bOnjDGa\\\n",
+       "N2+ePvnkE73yyiuSpC1btujcc8+VJBUWFurWW28N/icKwDEEuhs2bNig1atXa9OmTYqJidG+ffvU\\\n",
+       "1tamtLQ0ffjhh3r88ce1evXqzuO/+OILdXR0aN26dTp48KDi4+M7H3vsscc0ceJErV27VjfeeKO+\\\n",
+       "+uor3X333ZIO/1qh6urqoH9+AOzAFkc31NXVKSUlRTExMZKklJQUpaWlnfT4ZcuW6dprr9VFF12k\\\n",
+       "N99884THjBgxQrW1tQGZF0BoItDdcNFFF2nXrl0aOHCgZs6cqfLy8h88/qWXXtLVV1+tKVOmaNmy\\\n",
+       "ZSc85p133tHll18eiHEBhCgC3Q0ej0dVVVVasGCBevXqpauuukqLFy8+4bGVlZVKSUnRmWeeqdzc\\\n",
+       "XG3evFnffvtt5+O///3vNXDgQBUUFGju3LlB+gwAhAIC3U2RkZG68MIL9cADD+jpp5/Wa6+9dsLj\\\n",
+       "li1bpm3btikjI0M/+9nP1NjYeMyxjz32mL788ks9+uijKiwsDNb4AEIAge6G7du366uvvur8e3V1\\\n",
+       "tfr16/e943w+n15++WVt2bJFNTU1qqmp0ZtvvnnCbY6bb75ZPp9P7777bkBnBxA6uIqjG5qamnTL\\\n",
+       "LbfowIEDcrvdGjBggBYsWPC949atW6f09PRjvoE4atQoff7556qrqzvmWJfLpXvuuUfFxcUaP358\\\n",
+       "wD8HAPbjV14BwH/Y1ha2OADAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQa\\\n",
+       "ACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxF\\\n",
+       "oAHAUgQaACxFoAHAUm6nB0AIcLmcnuD0ZYzTE8BBnEEDgKU4g8ap42wOCCrOoAHAUgQaACxFoAHA\\\n",
+       "UgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUgQaACxFoAHAUtzNDiHPGKPa72pV\\\n",
+       "tadKG2s3qvx/yvV5/ec65D0kr8+rDl+HIiMi5Y5wK9Ydq6xeWRrdb7SGpQ9Tdlq20hPS5eKe17AQ\\\n",
+       "gUZI8hmfPvjnB5r3yTx9vPNjeX1eRUVGqamtST7j+97xXp9XXp9XLd4WfbzrY23YvUGeaI/aOtoU\\\n",
+       "FRGl8888X7OHz1buWbmKcPGFJexAoBFS9h/ar0WbF6lkQ4m+a/tOTW1NnY8d8h465Y/jMz41tjZK\\\n",
+       "klrUone+fkfrd65XQnSCikYUqfAXhUqOTfb7/MCPwakCQsLuxt0qeK1AafPSdN+H96muqe6YOPtD\\\n",
+       "U1uT6prqdN+H9yltXpp+89pvtLtxt1+fA/gxCDSsZozRws0Llfl0pl7Z+opavC1qbm8O6HM2tzer\\\n",
+       "xduil7e+rMynM7Vw80IZfpsMHECgYa3axlqN+esY3fb2bTrYflBe4w3q83uNVwfbD+q2t2/TmL+O\\\n",
+       "UW1jbVCfHyDQsFJpdakyn87Ux7s+1sH2g47OcrD9oD7e9bEy52eqtLrU0VlweiHQsIoxRre/c7tu\\\n",
+       "/tvNampvktcX3LPmk/H6vGpqa9LNf7tZs9+dzZYHgoJAwxodvg5NWzFNCzYtCPg+c3c1tzfruarn\\\n",
+       "NP3N6erwdTg9DsIcl9nBCsYYFb5ZqFe/eNXaOB/R3N6sVz5/RZJUelkpP+SCgOEMGlaY/e5svfbF\\\n",
+       "a9bH+YgjkS56r8jpURDGCDQcV1pdqgWbFjj+zcAf68h2B984RKAQaDiqtrFWt/7t1pA5cz5ec3uz\\\n",
+       "bn37Vi7BQ0AQaDjGGKOC1wvU0tHi9Cj/lVZvq37z+m+4sgN+R6DhmEXVi1S1p8qaS+m6q93Xrso9\\\n",
+       "lWx1wO8INByxu3F3508IhoOD7Qd12zu3sdUBvyLQcMScsjlq9bY6PYZftXhbNKdsjtNjIIwQaATd\\\n",
+       "/kP79ca2N4J+b41A8/q8en3b69p/aL/ToyBMEGgE3aLNi8L2pvgRrgj2ouE34fmvBNbyGZ9KNpSE\\\n",
+       "7GV1XWlub1ZJRckJf6sL8GMR6ACor6/XzJkzlZGRoZiYGKWmpio3N1dlZWWSpHvvvVeZmZmKj49X\\\n",
+       "cnKycnNzVVFR4fDUwfHBPz/Qd23f+feDHpS0WtITkv4o6TFJf5X0/05w7CpJf5D0sX9HOFpjW6PW\\\n",
+       "7FgTuCewRFev82nTpsnlch3zZ/jw4Q5PHVq4F0cA5Ofnq7m5WQsXLtSAAQO0d+9elZeXq6GhQZI0\\\n",
+       "aNAgzZ8/X/3799ehQ4f0xBNPKC8vT1999ZVSU1Mdnj6w5n0yz++/CUUvSWqXdJmk/6XDwa6RdPxJ\\\n",
+       "+lZJtZIS/Pv0x2tqa1LJhhKNO2tcYJ/IYV29ziVp3Lhxev755zv/Hh0d7cSoIctlQvDq+pycHFVW\\\n",
+       "Vjo9xgkdOHBAycnJKisr07hxp/YPtLGxUT179tQ777yj8ePHB3jCbjhyM6D/8qVijFHPP/X07xn0\\\n",
+       "IUmPSrpW0s9+4LgDkhZKmippqaRhks733xjHS4xJ1IG5B8L2Rkqn8jqfNm2a9u3bp9WrVwd5uu6z\\\n",
+       "rS1scfiZx+ORx+PRypUr1dLS9U/ItbW1acGCBUpMTNSQIUOCMKFzar+rVbuv3b8fNPo/f7br8Fn0\\\n",
+       "iXRIelXSKEm9/Pv0J9PW0aY93+0JzpM54FRf5+vXr9cZZ5yhgQMHasaMGdq7d28Qpwx9BNrP3G63\\\n",
+       "Fi9erKVLlyopKUkjRozQHXfcoU8//fSY41avXi2Px6MePXroiSeeUFlZWdhvb1TtqVJ0pJ+/xI2U\\\n",
+       "dLmkzyT9SdL/lfSupKN/1+uHkuIkDfXvU/+Q6MhoVdVVBe8Jg+xUXud5eXlasmSJPvjgA5WUlGjj\\\n",
+       "xo0aO3asWlvD6/r3QCLQAZCfn689e/Zo1apVuvjii1VRUaHhw4frkUce6TxmzJgxqq6uVkVFhfLy\\\n",
+       "8jR58mTV1dU5OHXgbazd6P/9Z0nKklQkqUDSAEm7dDjUH0naIalah/eng+hg20FtrN0Y3CcNsq5e\\\n",
+       "51dffbUuvfRSnXvuuZowYYLefvttbd++XW+99ZbDk4cO9qCD5IYbbtCSJUvU1NR0wm+UnH322Zo6\\\n",
+       "daruvfdeB6brgp/2oC9YdIE+3hXAyyeO9qakf0gaKWm9pKO3gs1//u7R4bAHyAVnXqB109cF7gks\\\n",
+       "1NXrvH///rrppps0d+5cB6brmm1t4SqOIMnKypLX61VLS8sJX7g+ny/sv/T7vP7z4D1ZL0k+STmS\\\n",
+       "zj3usaWS/o+k7MCOENTP1xI/9Drft2+famtr1adPH4emCz0E2s8aGho0adIkFRYWavDgwUpISFBl\\\n",
+       "ZaWKi4uVm5srSbrnnns0YcIE9enTR/X19Zo/f752796tyZMnOzx9YB3yHvL/B22W9LKkX0hKlRQj\\\n",
+       "aY8OX+d8lqSkE7xPhA6fPaf4f5yjHWoPwOdria5e5xEREbrjjjuUn5+vPn36qKamRnfddZfOOOMM\\\n",
+       "XXHFFU6PHzIItJ95PB4NHz5cTz75pL7++mu1trYqPT1dBQUFuueee+R2u7V161YtWrRIDQ0N+slP\\\n",
+       "fqKhQ4fqo48+0uDBg50eP6ACclvRaEl9JX0q6VtJXkmJOnzWPMr/T/dj+P2KFYt09TqPjIzUli1b\\\n",
+       "tGTJEh04cEB9+vTRmDFj9PLLLyshIcAXoocR9qDRNT/tQUc8ECGjkHu5dZtLLvnu50e+Q4ltbeEq\\\n",
+       "DgRNZESk0yME1en2+cL/CDSCxh1xeu2oRUVEOT0CQhyBRtDEumOdHiGoYqNOr88X/kegETRZvbKc\\\n",
+       "HiGoTrfPF/5HoBE0o/uNDtsb9R8v0hWp0f1GOz0GQtzp8a8FVhiWPkyeaI/TYwRFfHS8hqUPc3oM\\\n",
+       "hDgCjaDJTstWW0eb02MERVtHm7L7BPhHFRH2CDSCJj0h/bS5siE6MlppCWlOj4EQR6ARNC6XS+ef\\\n",
+       "GcC75Ftk5E9Hhu3N+hE8BBpBNXv47LDfh/ZEe1Q0IoC3ycNpg0AjqHLPylVCdHjfiyExJlFj+491\\\n",
+       "egyEAQKNoIpwRahoRJHiouKcHiUg4qLiVDSi6LS5nBCBxasIQVf4i0L5THjeRMhnfJo+ZLrTYyBM\\\n",
+       "EGgEXXJssq7IvEJuV3jdm8Md4daVmVcqOTbZ6VEQJgg0HFH8q2LFuGOcHsOverh7qPhXxU6PgTBC\\\n",
+       "oOGIvol99eTFTyo+Kt7pUfwiPipeT+Y9qfTEdKdHQRgh0HBM4ZBC5aTlhPxtSKMiojQ0fSh7z/A7\\\n",
+       "Ag3HuFwuvXDlC+oR2cPpUf4rMe4YLb1iKT+YAr8j0HBUemK6nrrkqZC97C4uKk5PXfwUWxsICAIN\\\n",
+       "x00fMl03nndjyEU6Pipev83+LVsbCBgCDSvMGz9PE//3xJCJdFxUnCZmTVTJRSVOj4IwRqBhBZfL\\\n",
+       "pUWXLdKkrEnWRzouKk6TsiZp4aUL2XdGQBFoWCMyIlKll5Xqt9m/tTbScVFxuin7JpVeVspv7UbA\\\n",
+       "EWhYxeVyad74eXr6kqflifZYcwleVESUPNEePX3J0yoZX8KZM4KCQMNK04dM17ZZ23T+T893/IdZ\\\n",
+       "4qPiNfKnI7Vt1ja+IYigItCwVnpiutZet1ZPXfzU4bPpIN+7wx3hlifao6cufkprr1vLpXQIOgIN\\\n",
+       "q7lcLhX+olBfzPpCk8+ZrB7uHopzB3Z/Os4dpx7uHpqcNVnbZm1T4S8K2dKAI+zY4AO60Dexr17I\\\n",
+       "f0H7D+1XaXWpHq94XN+1faemtia/PYcn2qPE6EQVjSzS9CHTuSsdHEegEVKSY5M1e8Rs/W7477Rm\\\n",
+       "xxqVbChRxa4KtXW0KToyWk1tTad0r+kIV4Q80Z7O9xv505EqGlGksf3HcrN9WINAIyRFuCI07qxx\\\n",
+       "GnfWOBljtOe7Paqqq9LG2o0q/59yfV7/uQ61H1K7r10dvg5FRkQqKiJKsVGxyuqVpdH9RmtY+jBl\\\n",
+       "98lWWkIaWxiwEoFGyHO5XEpPTFd6YrouHXSp0+MAfsPXcgBgKQINAJYi0ABgKQINAJYi0ABgKQIN\\\n",
+       "AJYi0ABgKQINAJYi0ABgKQINAJYi0ABgKQINAJYKzZslVVVJ3H0M4YzXtzOys52e4BicQQOApULz\\\n",
+       "DDo7W6qsdHoKIHCMcXqC01NOjtMTHIMzaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEG\\\n",
+       "AEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsR\\\n",
+       "aACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACw\\\n",
+       "FIEGAEsR6ACor6/XzJkzlZGRoZiYGKWmpio3N1dlZWWdx3z55Ze68sorlZSUpLi4OJ133nn64osv\\\n",
+       "HJw6dHW13i6X64R/Zs2a5fDkoa2rdW9qatItt9yivn37KjY2VoMGDdITTzzh8NShxe30AOEoPz9f\\\n",
+       "zc3NWrhwoQYMGKC9e/eqvLxcDQ0NkqQdO3bo/PPP19SpU7VmzRolJSVp27Zt8ng8Dk8emrpa77q6\\\n",
+       "umOOr6ys1IQJEzR58mQnxg0bXa377Nmz9f777+v5559X//799dFHH2nGjBlKSUnRtdde6/D0IcKE\\\n",
+       "oOzsbKdHOKn9+/cbSaasrOykx0yZMsUUFBQEcarwdSrrfbwbbrjBDBw4MIBThb9TWfdzzjnH3Hff\\\n",
+       "fce8bdSoUWbWrFmBHq/bbGsLWxx+5vF45PF4tHLlSrW0tHzvcZ/Pp1WrVikrK0t5eXnq1auXhg4d\\\n",
+       "qpdeesmBaUNfV+t9vKamJi1fvlwzZswIwnTh61TW/YILLtCqVau0a9cuSVJFRYWqq6uVl5cXzFFD\\\n",
+       "m9P/Q3SHbf/LHe/VV181ycnJJiYmxgwfPtwUFRWZTz75xBhjTF1dnZFk4uLiTElJidm8ebMpKSkx\\\n",
+       "kZGRZvXq1Q5PHpp+aL2P99xzz5no6Gizd+/eIE8Zfrpa99bWVjNt2jQjybjdbuN2u80zzzzj4MRd\\\n",
+       "s60tBDpADh06ZN577z3zwAMPmBEjRhhJ5uGHHza1tbVGkpkyZcoxx0+ZMsXk5eU5NG3oO9l6Hy8n\\\n",
+       "J8dMmjTJgQnD0w+t++OPP24GDhxoVq5caf7xj3+YP//5zyY+Pt68/fbbDk99cra1hUAHyfXXX2+i\\\n",
+       "oqJMa2urcbvd5o9//OMxjz/44IMmKyvLoenCz9HrfcTmzZuNJPPee+85OFl4O7LuBw4cMFFRUWbF\\\n",
+       "ihXfezw3N9eh6bpmW1vYgw6SrKwseb1etbS0aOjQodq+ffsxj3/55Zfq16+fQ9OFn6PX+4gFCxao\\\n",
+       "f//+GjdunIOThbcj6+5yudTe3q7IyMhjHo+MjJTP53NoutDDZXZ+1tDQoEmTJqmwsFCDBw9WQkKC\\\n",
+       "KisrVVxcrNzcXCUmJmrOnDmaPHmyfvnLX2rs2LFau3atli9frhUrVjg9fsg5lfWWpObmZr3wwgua\\\n",
+       "M2eOXC6Xw1OHvlNZ99GjR+vOO++Ux+NRv379VF5eriVLlqi4uNjp8UOH06fw3WHblyFHa2lpMXfd\\\n",
+       "dZfJyckxSUlJJjY21gwYMMDcfvvtpqGhofO40tJSc/bZZ5sePXqYc88917z44osOTh26TnW9Fy1a\\\n",
+       "ZCIjI01tba2D04aPU1n3uro6M23aNJOWlmZ69OhhBg0aZB577DHj8/kcnv7kbGuLyxhjnP5P4sfK\\\n",
+       "yclRZWWl02MACDO2tYU9aACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEGAEsRaACwFIEG\\\n",
+       "8IP+9a9/qaCgQGeddZays7M1YsQIvfHGG5Kk9evXa9iwYcrMzFRmZqYWLFhwzPt6vV716tVLd955\\\n",
+       "5zFvv/DCC636iT1bEWgAJ2WM0eWXX65Ro0bpn//8p6qqqrR8+XLt3r1b33zzjQoKCvTss89q27Zt\\\n",
+       "Wr9+vZ577jm99dZbne9fVlamgQMH6pVXXlEI3lXCcQQawEmtWbNG0dHRuummmzrf1q9fP91yyy2a\\\n",
+       "P3++pk2bpvPOO0+SlJKSouLiYv3pT3/qPHbZsmW67bbbdOaZZ2rDhg1Bnz/UEWgAJ7V169bOAJ/o\\\n",
+       "sezs7GPelpOTo61bt0qSWlpa9P7772vChAmaMmWKli1bFvB5ww2BBnDKZs2apZ///OcaOnRol8eu\\\n",
+       "Xr1aY8aMUWxsrPLz87VixQp1dHQEYcrwQaABnNQ555yjTZs2df59/vz5+uCDD1RfX6+srCxVVVUd\\\n",
+       "c3xVVZXOOeccSYe3N95//31lZGQoOztbDQ0NWrNmTVDnD3UEGsBJjR07Vi0tLXrmmWc639bc3Czp\\\n",
+       "8Nn04sWLVV1dLenwb1mZO3eu5syZo8bGRq1bt047d+5UTU2NampqNH/+fLY5fiQCDeCkXC6XVqxY\\\n",
+       "ofLycvXv31/Dhg3Tddddp0cffVR9+vTR0qVLNWPGDGVmZmrkyJEqLCzUhAkT9MYbb2js2LGKiYnp\\\n",
+       "/FiXXXaZVq1apdbWVknSr3/9a/Xt21d9+/bVpEmTnPoUrcZvVAGA/7CtLZxBA4ClCDQAWIpAA4Cl\\\n",
+       "CDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQA\\\n",
+       "WIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWIpAA4ClCDQAWMpljDFOD/FjpaSk\\\n",
+       "KCMjw+kxAISZmpoa7du3z+kxOoVkoAHgdMAWBwBYikADgKUINABYikADgKUINABYikADgKUINABY\\\n",
+       "ikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikAD\\\n",
+       "gKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUI\\\n",
+       "NABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABYikADgKUINABY6v8DQj0occe0\\\n",
+       "DHUAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "  frames[5] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAdZklEQVR4nO3dfVSUdf7/8dfAAAID4ncxFFzB1lWW\\\n",
+       "NrNAj2irJeZNrWuF2kp3Smu1plnqav5y1+3OU5R6dHW3PF/FNVstu1V31xbTSMVywfzmT9P0l6yK\\\n",
+       "tiJqisjNMNfvD1e+WhpIM3N9Znw+zuF0ZC6Y91xneHbNh4trHJZlWQIAGCfE7gEAABdHoAHAUAQa\\\n",
+       "AAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxF\\\n",
+       "oAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHA\\\n",
+       "UAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQaAAxFoAHAUAQa\\\n",
+       "AAxFoAHAUE67B2iO+Ph4paSk2D0GgCBTWlqqo0eP2j1Gg4AMdEpKioqLi+0eA0CQycjIsHuEC7DE\\\n",
+       "AQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCG\\\n",
+       "ItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAA\\\n",
+       "YCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItA+UF5erjFjxiglJUURERFKSEhQVlaW\\\n",
+       "CgoKJEmWZen3v/+9EhMTFRkZqZtuukk7duyweerA1dj+fvvttzVgwAC1bt1aDodDH374ob0DB4nv\\\n",
+       "2u91dXWaMmWKunTpoujoaLVt21Y5OTnav3+/3WMHFKfdAwSj7OxsVVVVaeHCherYsaOOHDmiwsJC\\\n",
+       "VVRUSJLy8vI0c+ZMLV68WJ07d9bTTz+tW265Rbt371ZMTIzN0weexvb36dOn1bNnT91zzz267777\\\n",
+       "bJ42eHzXfq+qqtLWrVv15JNPqmvXrvr66681ceJEDRw4UJ999pmcTtLTJFYASk9Pt3uESzp+/Lgl\\\n",
+       "ySooKLjo7R6Px2rTpo317LPPNnyuqqrKcrlc1ssvv+yvMYNGY/v7fOXl5ZYka/369b4fLMhdzn4/\\\n",
+       "Z8eOHZYk67PPPvPhZN+PaW1hicPLXC6XXC6XVq5cqerq6m/dvm/fPn311Vfq379/w+ciIyPVu3dv\\\n",
+       "FRUV+XPUoNDY/oZvNGe/nzx5UpLUqlUrX44WVAi0lzmdTi1evFhLly5VXFycMjMzNWnSJH3yySeS\\\n",
+       "pK+++kqSlJCQcMHXJSQkNNyGpmtsf8M3Lne/19bWauLEiRo8eLDatWvn52kDF4H2gezsbB06dEir\\\n",
+       "Vq3SoEGDVFRUpB49emjGjBl2jxaU2N/2aOp+d7vduueee3TixAnl5+fbNG2AsnuNpTlMWydqigce\\\n",
+       "eMAKCwuzdu/ebUmytmzZcsHtt956q3XffffZNF3wObe/a2pqGj7HGrTvfXO/19XVWUOHDrU6d+5s\\\n",
+       "HT582ObpGmdaWziC9pO0tDS53W4lJCSoTZs2DaeASVJ1dbU2bNignj172jhhcDm3v1mX9q/z93td\\\n",
+       "XZ3uuusuffbZZ1q/fr3atGlj93gBh3NdvKyiokLDhg1Tbm6uunTpopiYGBUXFysvL09ZWVlq2bKl\\\n",
+       "HnvsMc2YMUOpqanq1KmTnn32WblcLuXk5Ng9fsBpbH/Hxsbq2LFj2r9/v06cOCFJ2rt3r+Li4tSm\\\n",
+       "TRui0UyN7feoqCgNHTpU//znP7Vq1So5HI6G37G0bNlSkZGRNj+CAGH3IXxzmPYy5HzV1dXW1KlT\\\n",
+       "rYyMDCsuLs6KjIy0OnbsaD3++ONWRUWFZVlnT7WbPn261aZNGysiIsLq3bu3tX37dpsnD0xN2d/5\\\n",
+       "+fmWpG99TJ8+3d7hA1hj+33fvn0X3eeSrPz8fLvHvyTT2uKwLMuy6f8NzZaRkaHi4mK7xwAQZExr\\\n",
+       "C2vQAGAoAg0AhiLQAGAoAg0AhiLQAGAoAg0AhiLQAGAoAg0AhiLQAGAoAg0AhuJiSc303HPP6S9/\\\n",
+       "+YtCQ0MVEhKiVq1a6fjx46qsrFR5ebk6dOggSfrjH/+onj17qmvXrkpNTdXy5csbvsfIkSNVWFio\\\n",
+       "li1byrIszZo1Sx9//LFWrFghSdq+fbuuvfZaSVJubq4effRR/z9QALYh0M2wefNmrV69Wlu3blVE\\\n",
+       "RISOHj2q2tpaJSYm6sMPP9RLL72k1atXN2z/+eefq76+Xhs2bNDp06cVHR3dcNuLL76ooUOHav36\\\n",
+       "9XrwwQe1Z88ePfnkk5LOvq3Qtm3b/P74AJiBJY5mOHz4sOLj4xURESFJio+PV2Ji4iW3X7Zsme69\\\n",
+       "9171799f77333kW3yczMVFlZmU/mBRCYCHQz9O/fXwcOHFCnTp00ZswYFRYWfuf2r7/+un75y19q\\\n",
+       "xIgRWrZs2UW3WbNmjW6//XZfjAsgQBHoZnC5XCopKdGCBQvUunVr3XXXXVq8ePFFty0uLlZ8fLza\\\n",
+       "t2+vrKwsffrppzp27FjD7b/5zW/UqVMn5eTkaMqUKX56BAACAYFuptDQUN1000166qmnNG/ePL31\\\n",
+       "1lsX3W7ZsmXatWuXUlJS9KMf/UgnT568YNsXX3xRX3zxhV544QXl5ub6a3wAAYBAN8Pu3bu1Z8+e\\\n",
+       "hn9v27ZNycnJ39rO4/HojTfe0Pbt21VaWqrS0lK99957F13mGDt2rDwej95//32fzg4gcHAWRzNU\\\n",
+       "VlZq3LhxOnHihJxOpzp27KgFCxZ8a7sNGzYoKSnpgl8g9u7dWzt37tThw4cv2NbhcGjatGnKy8vT\\\n",
+       "gAEDfP4YAJiPt7wCgP8wrS0scQCAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOA\\\n",
+       "oQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0\\\n",
+       "ABiKQAOAoQg0ABiKQAOAoZx2D4AA4HDYPcGVy7LsngA24ggaAAzFETSajqM5wK84ggYAQxFoADAU\\\n",
+       "gQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYA\\\n",
+       "QxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFo\\\n",
+       "ADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoHygvL9eYMWOUkpKiiIgIJSQkKCsrSwUFBZKk3/72\\\n",
+       "t0pNTVV0dLRatWqlrKwsFRUV2Tx14Gpsf5/voYceksPh0EsvvWTDpMGlsf0+cuRIORyOCz569Ohh\\\n",
+       "89SBxWn3AMEoOztbVVVVWrhwoTp27KgjR46osLBQFRUVkqTOnTtr/vz56tChg86cOaPZs2dr4MCB\\\n",
+       "2rNnjxISEmyePvA0tr/PefPNN7VlyxYlJibaNGlwacp+79evn1599dWGf4eHh9sxauCyAlB6errd\\\n",
+       "I1zS8ePHLUlWQUFBk7/m66+/tiRZa9as8eFk34N09sNATd3fpaWlVmJiorVz504rOTnZevHFF/00\\\n",
+       "YXBqyn6///77rdtuu82PU31/prWFJQ4vc7lccrlcWrlypaqrqxvdvra2VgsWLFBsbKy6du3qhwmD\\\n",
+       "S1P2t9vt1ogRIzRt2jT95Cc/8fOEwampz/ONGzfqqquuUqdOnTR69GgdOXLEj1MGPgLtZU6nU4sX\\\n",
+       "L9bSpUsVFxenzMxMTZo0SZ988skF261evVoul0stWrTQ7NmzVVBQwPJGMzRlf0+fPl3x8fH69a9/\\\n",
+       "beOkwaUp+33gwIFasmSJPvjgA82cOVNbtmxR3759VVNTY+PkAcbuQ/jmMO1lyMWcOXPG+sc//mE9\\\n",
+       "9dRTVmZmpiXJeu655xpur6ystPbs2WNt3rzZys3NtZKTk61Dhw7ZOPF3MHiJ45xL7e/169dbiYmJ\\\n",
+       "1pEjRxq2ZYnDexp7np+vrKzMcjqd1ltvveXnKZvOtLaY/VN3CabtxKZ44IEHrLCwMKumpuait3fs\\\n",
+       "2NF6+umn/TxVEwVAoL/p3P6eOnWq5XA4rNDQ0IYPSVZISIiVlJRk95hBp7HneUpKivX888/7eaqm\\\n",
+       "M60tnMXhJ2lpaXK73aqurr7ob7I9Hg8v/bzo3P5++OGHlZOTc8FtAwYM0IgRIzR69Gibpgte3/U8\\\n",
+       "P3r0qMrKytS2bVubpgs8BNrLKioqNGzYMOXm5qpLly6KiYlRcXGx8vLylJWVJUmaNm2aBg8erLZt\\\n",
+       "26q8vFzz58/XwYMHNXz4cJunDzyN7e/27dt/62vCwsLUpk0bde7c2YaJg0Nj+z0kJESTJk1Sdna2\\\n",
+       "2rZtq9LSUk2dOlVXXXWV7rjjDrvHDxgE2stcLpd69OihOXPmaO/evaqpqVFSUpJycnI0bdo0OZ1O\\\n",
+       "7dixQ4sWLVJFRYV+8IMfqFu3bvroo4/UpUsXu8cPOI3tb/hGY/s9NDRU27dv15IlS3TixAm1bdtW\\\n",
+       "N998s9544w3FxMTYPX7AcFiWZdk9xOXKyMhQcXGx3WNcORyOs/8NvKcKcFlMawun2QGAoQg0ABiK\\\n",
+       "QAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOA\\\n",
+       "oQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0\\\n",
+       "ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiK\\\n",
+       "QAOAoQg0ABiKQAOAoZx2D9AsJSWSw2H3FIDv8Py2R3q63RNcgCNoADBUYB5Bp6dLxcV2TwH4jmXZ\\\n",
+       "PcGVKSPD7gkuwBE0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0\\\n",
+       "ABiKQAOAoQg0ABiKQAOAoQLzcqPAeSzLUtmpMpUcKtGWsi0q/Fehdpbv1Bn3Gbk9btV76hUaEipn\\\n",
+       "iFORzkiltU5Tn+Q+6p7UXemJ6UqKSZKDC+TDQAQaAcljefTBlx9o1seztGn/Jrk9boWFhqmytlIe\\\n",
+       "y/Ot7d0et9wet6rd1dp0YJM2H9wsV7hLtfW1CgsJU6/2vTShxwRlXZ2lEAcvLGEGAo2AcvzMcS36\\\n",
+       "dJFmbp6pU7WnVFlb2XDbGfeZJn8fj+XRyZqTkqRqVWvN3jXauH+jYsJjNDFzonKvz1WryFZenx+4\\\n",
+       "HBwqICAcPHlQOW/lKHFWon734e90uPLwBXH2hsraSh2uPKzfffg7Jc5K1N1v3a2DJw969T6Ay0Gg\\\n",
+       "YTTLsrTw04VKnZeqFTtWqNpdraq6Kp/eZ1Vdlard1XpjxxtKnZeqhZ8ulMVbUMEGBBrGKjtZppv/\\\n",
+       "fLPG/328Ttedltty+/X+3ZZbp+tOa/zfx+vmP9+sspNlfr1/gEDDSPnb8pU6L1WbDmzS6brTts5y\\\n",
+       "uu60Nh3YpNT5qcrflm/rLLiyEGgYxbIsPb7mcY3921hV1lXK7fHvUfOluD1uVdZWauzfxmrC+xNY\\\n",
+       "8oBfEGgYo95Tr5HvjtSCrQt8vs7cXFV1VXql5BWNem+U6j31do+DIMdpdjCCZVnKfS9Xb37+prFx\\\n",
+       "Pqeqrkordq6QJOUPyeePXOAzHEHDCBPen6C3Pn/L+Difcy7SE/8x0e5REMQINGyXvy1fC7YusP2X\\\n",
+       "gZfr3HIHvziErxBo2KrsZJke/dujAXPk/E1VdVV69O+PcgoefIJAwzaWZSnn7RxV11fbPcr3UuOu\\\n",
+       "0d1v382ZHfA6Ag3bLNq2SCWHSow5la656jx1Kj5UzFIHvI5AwxYHTx5s+AvBYHC67rTGrxnPUge8\\\n",
+       "ikDDFpMLJqvGXWP3GF5V7a7W5ILJdo+BIEKg4XfHzxzXO7ve8fu1NXzN7XHr7V1v6/iZ43aPgiBB\\\n",
+       "oOF3iz5dFLQXxQ9xhLAWDa8Jzp8SGMtjeTRz88yAPa2uMVV1VZpZNPOi7+oCXC4C7QPl5eUaM2aM\\\n",
+       "UlJSFBERoYSEBGVlZamgoKBhmy+++EJ33nmn4uLiFBUVpRtuuEGff/65jVP7xwdffqBTtae8+01P\\\n",
+       "S1otabakZyS9KOnPkv7ff27//SU+/urdMc45WXtS6/at8803N0hjz/PKykqNGzdO7dq1U2RkpDp3\\\n",
+       "7qzZs2fbPHVg4VocPpCdna2qqiotXLhQHTt21JEjR1RYWKiKigpJ0r59+9SrVy/dd999WrduneLi\\\n",
+       "4rRr1y65XC6bJ/e9WR/P8vo7oeh1SXWShkj6L50Ndqmkcwfp3/xr7EOSlkm6xrtjnFNZW6mZm2eq\\\n",
+       "39X9fHMHhmjseT5hwgStXbtWr776qjp06KCPPvpIo0ePVnx8vO69916bpw8MDisAz67PyMhQcXGx\\\n",
+       "3WNc1IkTJ9SqVSsVFBSoX7+L/4Dm5OTI4XDotdde8/N09rIsSy2fb+ndI+gzkl6QdK+kHzXxa1ZK\\\n",
+       "+pekcd4b45tiI2J1YsqJoL2QUlOe5z/96U+VnZ2tp556quFzffr00bXXXqt58+b5a9TLYlpbWOLw\\\n",
+       "MpfLJZfLpZUrV6q6+tt/IefxeLRq1SqlpaVp4MCBat26tbp166bXX3/dhmn9q+xUmeo8dd79puH/\\\n",
+       "+dits0fRjamR9H8l3eDdMb6ptr5Wh04d8u2d2Kix57kk3XjjjVq1apUOHDggSSoqKtK2bds0cOBA\\\n",
+       "f44a0Ai0lzmdTi1evFhLly5VXFycMjMzNWnSJH3yySeSpCNHjqiyslIzZsxQ//79VVBQoBEjRuju\\\n",
+       "u+/WX//qo0VRQ5QcKlF4aLh3v2mopNslfSbpeUn/Lel9SZd6r9ftkuoldfXuGN8UHhquksMlvr0T\\\n",
+       "GzX2PJekuXPn6rrrrlP79u0VFhamPn366IUXXtDPf/5zGycPLATaB7Kzs3Xo0CGtWrVKgwYNUlFR\\\n",
+       "kXr06KEZM2bI4zn72/0hQ4ZowoQJ6tq1qyZMmKDhw4cb+7LPW7aUbfH++rMkpensOnOOpI6SDuhs\\\n",
+       "qD+6yLZbJXWWFO39Mc53uva0tpRt8e2d2Oy7nueS9Ic//EFFRUVauXKlSkpKNHv2bE2aNElr1qyx\\\n",
+       "efLAwRq0n/zqV7/SkiVLVFlZqejoaE2fPl3Tpk1ruP2ZZ57R8uXLtWPHDhun9K0bF92oTQc2+efO\\\n",
+       "3pP0P5L+j/73V+GHJb2iy1uv/h5ubH+jNoza4Ps7Msi553l5eblat26tFStWaMiQIRfcXlpaqrVr\\\n",
+       "19o45aWZ1haOoP0kLS1Nbrdb1dXV6tatm3bv3n3B7V988YWSk5Ntms4/dpbv9N+dtZbkkXT+HyuW\\\n",
+       "SIqTdLV/RvDr4zXEuee5w+FQXV2dQkNDL7g9NDS04VUkGsdpdl5WUVGhYcOGKTc3V126dFFMTIyK\\\n",
+       "i4uVl5enrKwsxcbGavLkyRo+fLh+9rOfqW/fvlq/fr2WL1+ud9991+7xfeqM+4z3v2mVpDckXS8p\\\n",
+       "QVKEzp5Gt0lnQ9ziP9vV6uz6cy9Jfjqx4kydDx6vIZryPO/Tp4+eeOIJuVwuJScnq7CwUEuWLFFe\\\n",
+       "Xp7d4wcMAu1lLpdLPXr00Jw5c7R3717V1NQoKSlJOTk5DUsat99+uxYsWKAZM2Zo/Pjx+vGPf6wl\\\n",
+       "S5botttus3l63/LJZUXDJbWT9ImkYzp7xBwr6VpJvc/bbofORtrHvxw8n9fPWDFIU57ny5cv19Sp\\\n",
+       "U3X33Xfr2LFjSk5O1jPPPKOxY8faPH3gYA0afhPyVIgsBdzTrdkccsgznZfzgcS0trAGDb8JDQlt\\\n",
+       "fKMgcqU9XngfgYbfOEOurBW1sJAwu0dAgCPQ8JtIZ6TdI/hVZNiV9XjhfQQafpPWOs3uEfzqSnu8\\\n",
+       "8D4CDb/pk9wnaC/U/02hjlD1Se5j9xgIcFfGTwuM0D2pu1zhwX9JVUmKDo9W96Tudo+BAEeg4Tfp\\\n",
+       "iemqra+1ewy/qK2vVXrbdLvHQIAj0PCbpJikK+bMhvDQcCXGJNo9BgIcgYbfOBwO9Wrfy+4x/KLn\\\n",
+       "D3sG7cX64T8EGn41oceEoF+HdoW7NDHzm++zFbj+/e9/KycnR1dffbXS09OVmZmpd955R5K0ceNG\\\n",
+       "de/eXampqUpNTdWCBQsu+Fq3263WrVvriSeeuODzN910k1F/sWcqAg2/yro6SzHhMXaP4VOxEbHq\\\n",
+       "26Gv3WN4hWVZuv3229W7d299+eWXKikp0fLly3Xw4EF99dVXysnJ0csvv6xdu3Zp48aNeuWVVy54\\\n",
+       "44mCggJ16tRJK1asUABeVcJ2BBp+FeII0cTMiYoKi7J7FJ+ICovSxMyJQXM64bp16xQeHq6HH364\\\n",
+       "4XPJyckaN26c5s+fr5EjR+qGG86+f1h8fLzy8vL0/PPPN2y7bNkyjR8/Xu3bt9fmzZv9Pn+gC45n\\\n",
+       "EQJK7vW58ljBeREhj+XRqK6j7B7Da3bs2NEQ4Ivdlp5+4ZkqGRkZDW86UV1drbVr12rw4MEaMWKE\\\n",
+       "li1b5vN5gw2Bht+1imylO1LvkNMRXNfmcIY4dWfqnWoV2cruUXzmkUce0XXXXadu3bo1uu3q1at1\\\n",
+       "8803KzIyUtnZ2Xr33XdVX1/vhymDB4GGLfJuyVOEM8LuMbyqhbOF8m4JrovRX3PNNdq6dWvDv+fP\\\n",
+       "n68PPvhA5eXlSktLU0nJhW+MW1JSomuuuUbS2eWNtWvXKiUlRenp6aqoqNC6dev8On+gI9CwRbvY\\\n",
+       "dpozaI6iw3z87q1+Eh0WrTkD5ygpNsnuUbyqb9++qq6u1p/+9KeGz1VVVUk6ezS9ePFibdu2TdLZ\\\n",
+       "d1mZMmWKJk+erJMnT2rDhg3av3+/SktLVVpaqvnz57PMcZkINGyT2zVXGYkZAX8Z0rCQMHVL6hZU\\\n",
+       "a8/nOBwOvfvuuyosLFSHDh3UvXt33X///XrhhRfUtm1bLV26VKNHj1Zqaqp69uyp3NxcDR48WO+8\\\n",
+       "84769u2riIj/fZU0ZMgQrVq1SjU1NZKk2267Te3atVO7du00bNgwux6i0XhHFdiq7GSZUuelqrKu\\\n",
+       "0u5Rms0V7tKuR3YF3dHzlci0tnAEDVslxSZp7q1zA/a0u6iwKM0dNJc4wycINGw3qusoPXjDgwEX\\\n",
+       "6eiwaD2U/lBQLm3ADAQaRpg1YJaG/mRowEQ6KixKQ9OGamb/mXaPgiBGoGEEh8OhRUMWaVjaMOMj\\\n",
+       "HRUWpWFpw7TwFwu5IBJ8ikDDGKEhocofkq+H0h8yNtJRYVF6OP1h5Q/J51274XMEGkZxOByaNWCW\\\n",
+       "5t06T65wlzGn4IWFhMkV7tK8W+dp5oCZHDnDLwg0jDSq6yjtemSXev2wl+1/zBIdFq2eP+ypXY/s\\\n",
+       "4heC8CsCDWMlxSZp/f3rNXfQ3LNH036+doczxClXuEtzB83V+vvXcyod/I5Aw2gOh0O51+fq80c+\\\n",
+       "1/BrhquFs4WinL5dn45yRqmFs4WGpw3Xrkd2Kff6XJY0YAszFviARrSLbafXsl/T8TPHlb8tXy8V\\\n",
+       "vaRTtadUWeu9v0B0hbsUGx6riT0nalTXUUF9VToEBgKNgNIqspUmZE7QYz0e07p96zRz80wVHShS\\\n",
+       "bX2twkPDVVlb2aRrTYc4QuQKdzV8Xc8f9tTEzInq26Fv0FxsH4GPQCMghThC1O/qfup3dT9ZlqVD\\\n",
+       "pw6p5HCJtpRtUeG/CrWzfKfO1J1RnadO9Z56hYaEKiwkTJFhkUprnaY+yX3UPam70tumKzEmkSUM\\\n",
+       "GIlAI+A5HA4lxSYpKTZJv+j8C7vHAbyG13IAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgC\\\n",
+       "DQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCiHZVmW3UNcrvj4eKWkpNg9BoAgU1paqqNHj9o9RoOA\\\n",
+       "DDQAXAlY4gAAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFo\\\n",
+       "ADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAU\\\n",
+       "gQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYA\\\n",
+       "QxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQ/1/AhzjbeP3gnAAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "  frames[6] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAYAAAB65WHVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAclElEQVR4nO3df3RU9f3n8dckk4Qkk5BsgwmJSrAU\\\n",
+       "YvZbFhtwCZyiEn7qsaj8sESLEhe1aP1BKB6PVNSvciwYPLjYbdOFUEUFFb9VaItmFaMSBIPyheU3\\\n",
+       "KxEJeAgRhPzOZO7+MSQCBhLizNzPzDwf5+T0kLmZvOdj+uTmzuVeh2VZlgAAxomwewAAQMcINAAY\\\n",
+       "ikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikAD\\\n",
+       "gKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEI\\\n",
+       "NAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAYikADgKEINAAY\\\n",
+       "ikADgKEINAAYymn3AN2RkpKizMxMu8cAEGIqKyt17Ngxu8doF5SBzszMVEVFhd1jAAgxgwcPtnuE\\\n",
+       "s3CIAwAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAE\\\n",
+       "GgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAM\\\n",
+       "RaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaABwFAEGgAMRaD9oLq6WjNnzlRmZqZiYmKUmpqq\\\n",
+       "vLw8lZaWSpIsy9ITTzyh9PR0xcbG6tprr9WOHTtsnjp4dbbeb731lsaOHatevXrJ4XDoww8/tHfg\\\n",
+       "EHGhdW9padEjjzyigQMHKj4+Xr1791Z+fr4OHjxo99hBxWn3AKFo4sSJqq+v19KlS9WvXz8dPXpU\\\n",
+       "ZWVlqqmpkSQtWLBARUVFWr58uQYMGKCnnnpKo0eP1p49e5SQkGDz9MGns/Wuq6vTsGHDdPvtt2va\\\n",
+       "tGk2Txs6LrTu9fX1+vzzz/XYY49p0KBB+u6771RYWKhx48Zp27ZtcjpJT5dYQSgnJ8fuEc7r+PHj\\\n",
+       "liSrtLS0w8c9Ho+VlpZmPf300+2fq6+vt1wul/XnP/85UGOGjM7W+0zV1dWWJGv9+vX+HyzEXcy6\\\n",
+       "t9mxY4clydq2bZsfJ/txTGsLhzh8zOVyyeVy6Z133lFjY+MPHj9w4IC++eYbjRkzpv1zsbGxGjFi\\\n",
+       "hMrLywM5akjobL3hH91Z95MnT0qSkpOT/TlaSCHQPuZ0OrV8+XKtWLFCSUlJys3N1ezZs7Vp0yZJ\\\n",
+       "0jfffCNJSk1NPevrUlNT2x9D13W23vCPi1335uZmFRYW6sYbb9Sll14a4GmDF4H2g4kTJ+rw4cNa\\\n",
+       "s2aNxo8fr/Lycg0dOlTz58+3e7SQxHrbo6vr7na7dfvtt+vEiRMqKSmxadogZfcxlu4w7ThRV9x1\\\n",
+       "111WVFSUtWfPHkuStXnz5rMev/76661p06bZNF3oaVvvpqam9s9xDNr/zl33lpYWa9KkSdaAAQOs\\\n",
+       "I0eO2Dxd50xrC3vQAZKdnS23263U1FSlpaW1nwImSY2Njfr44481bNgwGycMLW3rzXHpwDpz3Vta\\\n",
+       "WnTrrbdq27ZtWr9+vdLS0uweL+hwrouP1dTUaPLkySooKNDAgQOVkJCgiooKLViwQHl5eerZs6ce\\\n",
+       "eughzZ8/X1lZWerfv7+efvppuVwu5efn2z1+0OlsvRMTE/Xtt9/q4MGDOnHihCRp//79SkpKUlpa\\\n",
+       "GtHops7WPS4uTpMmTdJnn32mNWvWyOFwtL/H0rNnT8XGxtr8CoKE3bvw3WHaryFnamxstB599FFr\\\n",
+       "8ODBVlJSkhUbG2v169fPevjhh62amhrLsryn2s2bN89KS0uzYmJirBEjRljbt2+3efLg1JX1Likp\\\n",
+       "sST94GPevHn2Dh/EOlv3AwcOdLjmkqySkhK7xz8v09risCzLsunvhm4bPHiwKioq7B4DQIgxrS0c\\\n",
+       "gwYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUgQYAQxFoADAUF0vqpmeeeUavvvqq\\\n",
+       "IiMjFRERoeTkZB0/fly1tbWqrq5W3759JUl/+tOfNGzYMA0aNEhZWVlauXJl+3PceeedKisrU8+e\\\n",
+       "PWVZlhYtWqRPP/1Ub7zxhiRp+/bt+vnPfy5JKigo0AMPPBD4FwrANgS6GzZu3Ki1a9fq888/V0xM\\\n",
+       "jI4dO6bm5malp6frww8/1HPPPae1a9e2b79r1y61trbq448/Vl1dneLj49sfW7hwoSZNmqT169fr\\\n",
+       "7rvv1r59+/TYY49J8t5WaOvWrQF/fQDMwCGObjhy5IhSUlIUExMjSUpJSVF6evp5t3/ttdf0m9/8\\\n",
+       "RmPGjNHbb7/d4Ta5ubmqqqryy7wAghOB7oYxY8bo66+/Vv/+/TVz5kyVlZVdcPtVq1bp17/+taZO\\\n",
+       "narXXnutw23WrVunm266yR/jAghSBLobXC6XtmzZouLiYvXq1Uu33nqrli9f3uG2FRUVSklJ0eWX\\\n",
+       "X668vDx98cUX+vbbb9sf//3vf6/+/fsrPz9fjzzySIBeAYBgQKC7KTIyUtdee62efPJJLVmyRKtX\\\n",
+       "r+5wu9dee027d+9WZmamfvrTn+rkyZNnbbtw4ULt3btXf/zjH1VQUBCo8QEEAQLdDXv27NG+ffva\\\n",
+       "/7x161b16dPnB9t5PB69/vrr2r59uyorK1VZWam33367w8Mc999/vzwej959912/zg4geHAWRzfU\\\n",
+       "1tbqd7/7nU6cOCGn06l+/fqpuLj4B9t9/PHHysjIOOsNxBEjRmjnzp06cuTIWds6HA7NnTtXCxYs\\\n",
+       "0NixY/3+GgCYj1teAcBpprWFQxwAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAA\\\n",
+       "YCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgCDQCGItAAYCgC\\\n",
+       "DQCGItAAYCgCDQCGItAAYCin3QMgCDgcdk8QvizL7glgI/agAcBQ7EGj69ibAwKKPWgAMBSBBgBD\\\n",
+       "EWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgA\\\n",
+       "MBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSB\\\n",
+       "BgBDEWgAMBSBBgBDEWgAMBSBBgBDEWgAMBSB9oPq6mrNnDlTmZmZiomJUWpqqvLy8lRaWipJ+sMf\\\n",
+       "/qCsrCzFx8crOTlZeXl5Ki8vt3nq4NXZep/pnnvukcPh0HPPPWfDpKGls3W/88475XA4zvoYOnSo\\\n",
+       "zVMHF6fdA4SiiRMnqr6+XkuXLlW/fv109OhRlZWVqaamRpI0YMAAvfjii+rbt68aGhr0/PPPa9y4\\\n",
+       "cdq3b59SU1Ntnj74dLbebd58801t3rxZ6enpNk0aWrqy7qNGjdLLL7/c/ufo6Gg7Rg1eVhDKycmx\\\n",
+       "e4TzOn78uCXJKi0t7fLXfPfdd5Yka926dX6c7EeQvB8G6up6V1ZWWunp6dbOnTutPn36WAsXLgzQ\\\n",
+       "hKGpK+t+xx13WDfccEMAp/rxTGsLhzh8zOVyyeVy6Z133lFjY2On2zc3N6u4uFiJiYkaNGhQACYM\\\n",
+       "LV1Zb7fbralTp2ru3Lm68sorAzxhaOrqz/knn3yiSy65RP3799eMGTN09OjRAE4Z/Ai0jzmdTi1f\\\n",
+       "vlwrVqxQUlKScnNzNXv2bG3atOms7dauXSuXy6UePXro+eefV2lpKYc3uqEr6z1v3jylpKTot7/9\\\n",
+       "rY2ThpaurPu4ceP00ksv6f3331dRUZE2b96skSNHqqmpycbJg4zdu/DdYdqvIR1paGiw3nvvPevJ\\\n",
+       "J5+0cnNzLUnWM8880/54bW2ttW/fPmvjxo1WQUGB1adPH+vw4cM2TnwBBh/iaHO+9V6/fr2Vnp5u\\\n",
+       "HT16tH1bDnH4Tmc/52eqqqqynE6ntXr16gBP2XWmtcXs/9edh2mL2BV33XWXFRUVZTU1NXX4eL9+\\\n",
+       "/aynnnoqwFN1URAE+lxt6/3oo49aDofDioyMbP+QZEVERFgZGRl2jxlyOvs5z8zMtJ599tkAT9V1\\\n",
+       "prWFszgCJDs7W263W42NjR2+k+3xePjVz4fa1vvee+9Vfn7+WY+NHTtWU6dO1YwZM2yaLnRd6Of8\\\n",
+       "2LFjqqqqUu/evW2aLvgQaB+rqanR5MmTVVBQoIEDByohIUEVFRVasGCB8vLyJElz587VjTfeqN69\\\n",
+       "e6u6ulovvviiDh06pClTptg8ffDpbL0vv/zyH3xNVFSU0tLSNGDAABsmDg2drXtERIRmz56tiRMn\\\n",
+       "qnfv3qqsrNSjjz6qSy65RDfffLPd4wcNAu1jLpdLQ4cO1eLFi7V//341NTUpIyND+fn5mjt3rpxO\\\n",
+       "p3bs2KFly5appqZGP/nJTzRkyBB99NFHGjhwoN3jB53O1hv+0dm6R0ZGavv27XrppZd04sQJ9e7d\\\n",
+       "W9ddd51ef/11JSQk2D1+0HBYlmXZPcTFGjx4sCoqKuweI3w4HN7/Db4fFeCimNYWTrMDAEMRaAAw\\\n",
+       "FIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEG\\\n",
+       "AEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMR\\\n",
+       "aAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAw\\\n",
+       "FIEGAEMRaAAwFIEGAEM57R6gW7ZskRwOu6cA/Iefb3vk5Ng9wVnYgwYAQwXnHnROjlRRYfcUgP9Y\\\n",
+       "lt0ThKfBg+2e4CzsQQOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiKQAOAoQg0ABiK\\\n",
+       "QAOAoQg0ABiKQAOAoQg0ABgqOC83CsBWlmWp6lSVthzeos1Vm1X2VZl2Vu9Ug7tBbo9brZ5WRUZE\\\n",
+       "yhnhVKwzVtm9snVNn2t0dcbVyknPUUZChhzclKBTBBpAl3gsj97/8n0t+nSRNhzcILfHrajIKNU2\\\n",
+       "18pjeX6wvdvjltvjVqO7URu+3qCNhzbKFe1Sc2uzoiKiNPzy4Zo1dJbyrshThINf5jtCoAFc0PGG\\\n",
+       "41r2xTIVbSzSqeZTqm2ubX+swd3Q5efxWB6dbDopSWpUo9btX6dPDn6ihOgEFeYWquCqAiXHJvt8\\\n",
+       "/mDGX1sAOnTo5CHlr85X+qJ0Pf7h4zpSe+SsOPtCbXOtjtQe0eMfPq70Rem6bfVtOnTykE+/RzAj\\\n",
+       "0ADOYlmWln6xVFlLsvTGjjfU6G5UfUu9X79nfUu9Gt2Nen3H68pakqWlXyyVxW2/CDSA71WdrNJ1\\\n",
+       "f7tOD/7rQdW11MltuQP6/d2WW3UtdXrwXw/qur9dp6qTVQH9/qYh0AAkSSVbS5S1JEsbvt6gupY6\\\n",
+       "W2epa6nThq83KOvFLJVsLbF1FjsRaCDMWZalh9c9rPv/eb9qW2rl9gR2r/l83B63aptrdf8/79es\\\n",
+       "d2eF5SEPAg2EsVZPq+78+50q/rzY78eZu6u+pV5/2fIXTX97ulo9rXaPE1CcZgeEKcuyVPB2gd7c\\\n",
+       "9aaxcW5T31KvN3a+IUkqmVASNv/IhT1oIEzNeneWVu9abXyc27RFuvC9QrtHCRgCDYShkq0lKv68\\\n",
+       "2PY3Ay9W2+GOcHnjkEADYabqZJUe+OcDQbPnfK76lno98K8HwuIUPAINhBHLspT/Vr4aWxvtHuVH\\\n",
+       "aXI36ba3bgv5MzsINBBGlm1dpi2HtxhzKl13tXhaVHG4IuQPdRBoIEwcOnmo/V8IhoK6ljo9uO7B\\\n",
+       "kD7UQaCBMDGndI6a3E12j+FTje5GzSmdY/cYfkOggTBwvOG4/mP3fwT82hr+5va49dbut3S84bjd\\\n",
+       "o/gFgQbCwLIvloXsRfEjHBEheyw6NP+LAWjnsTwq2lgUtKfVdaa+pV5F5UUd3tUl2BFoP6iurtbM\\\n",
+       "mTOVmZmpmJgYpaamKi8vT6Wlpe3b7N27V7fccouSkpIUFxenX/ziF9q1a5eNUwevztbb4XB0+HHf\\\n",
+       "fffZPHlgvP/l+zrVfMr3T1wnaa2k5yX9u6SFkv4m6f+dfrxJ0j8lFUl6WtL/lLTR92NI0snmk/rg\\\n",
+       "wAf+eXIbcS0OP5g4caLq6+u1dOlS9evXT0ePHlVZWZlqamokSQcOHNDw4cM1bdo0ffDBB0pKStLu\\\n",
+       "3bvlcrlsnjw4dbbeR44cOWv7iooK3XjjjZoyZYod4wbcok8X+fxOKJKkVZJaJE2Q9F/kDXalpLYd\\\n",
+       "9XclfSnpFklJkr6StEZSnKT/5ttRaptrVbSxSKOuGOXbJ7aZwwrCM70HDx6siooKu8fo0IkTJ5Sc\\\n",
+       "nKzS0lKNGtXxD0t+fr4cDodeeeWVAE8Xerqy3ueaMWOGPvroI+3Zs8fP09nPsiz1fLan7/egGyT9\\\n",
+       "UdJvJP30PNu8KClb0nVnfK5E0iWSbvDtOJKUGJOoE4+c+FEXUjKtLRzi8DGXyyWXy6V33nlHjY0/\\\n",
+       "/NdaHo9Ha9asUXZ2tsaNG6devXppyJAhWrVqlQ3TBr/O1vtctbW1WrlypWbMmBGA6exXdapKLZ4W\\\n",
+       "3z9x9OmPPfLuRXfk8tOPf3f6zwclfSOpn+/HkaTm1mYdPnXYP09uEwLtY06nU8uXL9eKFSuUlJSk\\\n",
+       "3NxczZ49W5s2bZIkHT16VLW1tZo/f77GjBmj0tJSTZ06Vbfddpv+8Y9/2Dx98Olsvc/16quvqrm5\\\n",
+       "WXfccUeAJ7XHlsNbFB0Z7fsnjpR0k6Rtkp6V9L/lPaRx5v1ex0tKk/cY9VOSlksaJWmA78eRpOjI\\\n",
+       "aG05ssU/T24TAu0HEydO1OHDh7VmzRqNHz9e5eXlGjp0qObPny+Px/tO84QJEzRr1iwNGjRIs2bN\\\n",
+       "0pQpU7RkyRKbJw9OF1rvc/31r3/VhAkT1KtXLxsmDbzNVZv9c/xZ8h6+KJSUL+9e8dfyhvqjtm9+\\\n",
+       "+nNTJd0taayk9yTt8884dc112ly12T9PbhMC7Sc9evTQ6NGj9fjjj6u8vFx33XWXnnjiCaWkpMjp\\\n",
+       "dCo7O/us7a+88kodPHjQpmmD3/nWu7m5uX2brVu3qqKiImwOb0hS2Vdl/j39LEreY9DXSvofkq6S\\\n",
+       "9KGkRkn/R9JoefeY0yT9d0n/JqncP6O0Wq0q+6rMP09uEwIdINnZ2XK73WpsbNSQIUN+8AbV3r17\\\n",
+       "1adPH5umCz1nrneb4uJi9e3bt8tvJoaCndU7A/sNe0lq+/vAI+nc9+siJPnxtISAv14/4zQ7H6up\\\n",
+       "qdHkyZNVUFCggQMHKiEhQRUVFVqwYIHy8vKUmJioOXPmaMqUKfrlL3+pkSNHav369Vq5cqX+/ve/\\\n",
+       "2z1+0OnKektSfX29XnnlFc2ZMydsbpckSQ3uBv88cb2k1+XdY06VFCPpsKQNkq6Q1ENSH3n3oqPl\\\n",
+       "Pc2uUtJ/yrtX7ScNLX56vTYh0D7mcrk0dOhQLV68WPv371dTU5MyMjKUn5+vuXPnSpJuuukmFRcX\\\n",
+       "a/78+XrwwQf1s5/9TC+99JJuuMEP5x6FuK6styStWrVKdXV1mj59uo3TBp7fLisaLelSSZskfSvJ\\\n",
+       "LSlR0s8ljTi9zSRJ70t6S97T8nrKe8rd1f4ZSZJ/zlixEedBAyEs4skIWf48pmAYhxzyzOv+MXfT\\\n",
+       "2sIxaCCERUZE2j1CQIXa6yXQQAhzRoTXUcyoiCi7R/ApAg2EsFhnrN0jBFRsVGi9XgINhLDsXtmd\\\n",
+       "bxRCQu31EmgghF3T55qQvVD/uSIdkbqmzzV2j+FT4fFfDghTV2dcLVd0eFzGNj46Xldn+PEcPhsQ\\\n",
+       "aCCE5aTnqLm1ufMNQ0Bza7NyeufYPYZPEWgghGUkZITcmQ3nEx0ZrfSEdLvH8CkCDYQwh8Oh4ZcP\\\n",
+       "t3uMgBh22bCQ+2f84XWSJBCGZg2dpU8OftL9y47WSlon77WeY+W9FvRwSVfKexurd+W9/6Ak5Uoa\\\n",
+       "fMbXtsp7T8KrdPY1OEokjZGU0b2RzuWKdqkwt9A3T2YQAg2EuLwr8pQQndC9QFuSVsp7D8FJpz93\\\n",
+       "Qt47pZyStFrSryWly3tPwhXyXpOj/+ltv5T0E0k75b1Yv592cBNjEjWy70j/PLmNOMQBhLgIR4QK\\\n",
+       "cwsVFxV38V98QN495iFnfC5J3ms7fyZpkLxxlqR4efeSPzlj2+2nt+0p78X7/SAuKk6FuYUheTph\\\n",
+       "6L0iAD9QcFVB9y7cf1RS7ws8du57cumnPy9571X4pbwX7P83Sf/34r99V3gsj6YPCs2rFBJoIAwk\\\n",
+       "xybr5qyb5XT8yKOa/5D0vyQVd2HbvZL6ynvXlWxJu/X9xfx9xBnh1C1Ztyg5Ntm3T2wIAg2EiQWj\\\n",
+       "FyjGGXNxX3SJpCNn/PkGSdPkPd7cS96L9J/p8Omvkbx7zF/Ke9PYv8h7kf8DFzv1hfVw9tCC0Qt8\\\n",
+       "+6QGIdBAmLg08VItHr9Y8VHxXf+ivvJejP+zMz7Xdk38qyVt1fcBr5f3DirD5b0n4VeSHj7j4wZ5\\\n",
+       "j0n7SHxUvBaPW6yMRB+dCmIgzuIAwkjBoAK9/J8va8PXG7p2txWHvGdprJP3dlZx8t5NZbSkBEm3\\\n",
+       "SFqj70+zGyrvMeet8sb9zMIMkFQqb/Al6VV9v4t4maQpXX8dURFRGpIxJGSPPbfhjipAmKk6WaWs\\\n",
+       "JVmqbenmedEGcEW7tPu+3T7fezatLRziAMJMRmKGXrj+he6ddmeAuKg4vTD+hZA+tNGGQANhaPqg\\\n",
+       "6br7F3cHXaTjo+J1T849IX9oow2BBsLUorGLNOnKSUET6bioOE3KnqSiMUV2jxIwBBoIUw6HQ8sm\\\n",
+       "LNPk7MnGRzouKk6Tsydr6a+WhtwFkS6EQANhLDIiUiUTSnRPzj3GRjouKk735tyrkgklIXfX7s4Q\\\n",
+       "aCDMORwOLRq7SEuuXyJXtMuYO4FHRUTJFe3SkuuXqGhsUVjtObch0AAked843H3fbg2/bPjF/WMW\\\n",
+       "P4iPitewy4Zp9327w+YNwY4QaADtMhIztP6O9Xph/Avevekfe+2Oi+SMcMoV7dIL41/Q+jvWh8Wp\\\n",
+       "dBdCoAGcxeFwqOCqAu26b5em/Ncp6uHsoTinf49Pxznj1MPZQ1Oyp2j3fbtVcFVBWB7SOJcZB5sA\\\n",
+       "GOfSxEv1ysRXdLzhuEq2lui58ud0qvlU9+/M0gFXtEuJ0YkqHFao6YOmh+xV6bqLQAO4oOTYZM3K\\\n",
+       "naWHhj6kDw58oKKNRSr/ulzNrc2KjoxWbXNtl641HeGIkCva1f51wy4bpsLcQo3sOzIkL7bvCwQa\\\n",
+       "QJdEOCI06opRGnXFKFmWpcOnDmvLkS3aXLVZZV+VaWf1TjW0NKjF06JWT6siIyIVFRGl2KhYZffK\\\n",
+       "1jV9rtHVGVcrp3eO0hPSOYTRBQQawEVzOBzKSMxQRmKGfjXgV3aPE7L4vQIADEWgAcBQBBoADEWg\\\n",
+       "AcBQBBoADEWgAcBQBBoADEWgAcBQBBoADEWgAcBQBBoADEWgAcBQBBoADOWwLMuye4iLlZKSoszM\\\n",
+       "TLvHABBiKisrdezYMbvHaBeUgQaAcMAhDgAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEG\\\n",
+       "AEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMR\\\n",
+       "aAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAw\\\n",
+       "FIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAwFIEGAEMRaAAw1P8HnmxVpziCDpsA\\\n",
+       "AAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        animc5acd73a5e904014b0b55ceeef93725c = new Animation(frames, img_id, slider_id, 200.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "HTML(anim.to_jshtml())"
+   ]
+  },
+  {
+   "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": "3.6.8"
+  },
+  "toc": {
+   "base_numbering": 1,
+   "nav_menu": {},
+   "number_sections": true,
+   "sideBar": true,
+   "skip_h1_title": false,
+   "title_cell": "Table of Contents",
+   "title_sidebar": "Contents",
+   "toc_cell": false,
+   "toc_position": {},
+   "toc_section_display": true,
+   "toc_window_display": true
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
-- 
cgit v1.2.3