{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "dK53LoSA2To2"
},
"source": [
"\n",
"# **Reinforcement Learning: SARSA(n) and Q-Learning(n)**\n",
"---\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "SanX2J_t6YFN"
},
"source": [
"### **Overview** \n",
"\n",
"In this notebook, we will experiment with different reinforcement learning algorithms under various configurations to gain deeper insights into their behavior. \n",
"\n",
"By completing this homework, you will: \n",
"- Understand **exploration vs. exploitation** and how they impact the learning process in an environment. \n",
"- Learn how to **balance exploration and exploitation** effectively for optimal performance. \n",
"- Recognize the importance of **epsilon decay** and when to use. \n",
"\n",
"Also, you will: \n",
"- Gain a solid understanding of **n-step SARSA** and **n-step Q-learning**. \n",
"- Explore how different values of **n** affect learning quality and efficiency. \n",
"- Compare the strengths and trade-offs of **n-step SARSA vs. n-step Q-learning** to determine when to use each method.\n",
"\n",
"---\n",
"\n",
"We will start by learning how to implement **epsilon-greedy**, **n-step SARSA**, and **n-step Q-learning**. \n",
"\n",
"Next, we will implement a class that takes learning **hyperparameters** and includes a `learn` method, which accepts an algorithm (such as SARSA) and trains the environment accordingly. \n",
"\n",
"After that, we will experiment with **different epsilon values** to analyze their effect on the learning process. Finally, we will explore **different values of n** to gain deeper insights into **n-step SARSA** and **n-step Q-learning** and their impact on learning quality.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6zMBJYHj2bsr"
},
"source": [
"## **Environment Setup**\n",
"Setting up required libraries and environment."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"collapsed": true,
"id": "2JIRcF5wtfVc",
"outputId": "2f96e956-40c1-49d9-8dd3-40094847f1d6"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Get:1 https://developer.download.nvidia.com/compute/cuda/repos/ubuntu2204/x86_64 InRelease [1,581 B]\n",
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" Building wheel for imageio (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
"\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n",
"moviepy 1.0.3 requires imageio<3.0,>=2.5; python_version >= \"3.4\", but you have imageio 2.4.0 which is incompatible.\n",
"scikit-image 0.25.2 requires imageio!=2.35.0,>=2.33, but you have imageio 2.4.0 which is incompatible.\u001b[0m\u001b[31m\n",
"\u001b[0mReading package lists...\n",
"Building dependency tree...\n",
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"ffmpeg is already the newest version (7:4.4.2-0ubuntu0.22.04.1).\n",
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" libfontenc1 libxfont2 libxkbfile1 x11-xkb-utils xfonts-base xfonts-encodings\n",
" xfonts-utils xserver-common\n",
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" xfonts-utils xserver-common xvfb\n",
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"\n",
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"\n"
]
}
],
"source": [
"!sudo apt-get update --quiet\n",
"!pip install 'imageio==2.4.0' --quiet\n",
"!sudo apt-get install -y xvfb ffmpeg --quiet\n",
"!pip3 install gymnasium[classic_control] --quiet"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"id": "5fLskP-6tfVd"
},
"outputs": [],
"source": [
"import gymnasium as gym\n",
"import random\n",
"import base64\n",
"import imageio\n",
"import IPython\n",
"import matplotlib\n",
"from matplotlib import pyplot as plt\n",
"import seaborn as sns\n",
"import numpy as np\n",
"from tqdm import tqdm\n",
"from scipy.signal import convolve as conv\n",
"from collections import defaultdict"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"id": "5boHm7Y8tfVe"
},
"outputs": [],
"source": [
"# @title helper and plotting functions\n",
"\n",
"# disable warnings\n",
"import logging\n",
"logging.getLogger().setLevel(logging.ERROR)\n",
"\n",
"# set up matplotlib\n",
"is_ipython = 'inline' in matplotlib.get_backend()\n",
"if is_ipython:\n",
" from IPython import display\n",
"plt.ion()\n",
"\n",
"\n",
"def embed_mp4(filename):\n",
" video = open(filename,'rb').read()\n",
" b64 = base64.b64encode(video)\n",
" tag = '''\n",
" '''.format(b64.decode())\n",
" return IPython.display.HTML(tag)\n",
"\n",
"\n",
"def create_policy_eval_video(env, policy, filename, Q=None, num_episodes=1, fps=5, max_steps=48):\n",
" filename = filename + \".mp4\"\n",
" with imageio.get_writer(filename, fps=fps) as video:\n",
" for _ in range(num_episodes):\n",
" state, _ = env.reset()\n",
" video.append_data(env.render())\n",
" while max_steps >= 0:\n",
" action = policy(state, Q)\n",
" state, _, terminated, truncated, _ = env.step(action)\n",
" max_steps -= 1\n",
" video.append_data(env.render())\n",
" if terminated or truncated:\n",
" break\n",
" return embed_mp4(filename)\n",
"\n",
"\n",
"def plot_heatmap(env, value, ax=None, show=False):\n",
" # Generate heatmap showing maximum value at each state\n",
" if ax is None:\n",
" _, ax = plt.subplots()\n",
" dim_x, dim_y = 12, 4\n",
" action_max = value.argmax(axis=1)\n",
" value_max = value.max(axis=1).reshape(dim_y, dim_x)\n",
" act_dict = {0: 'U', 1: 'R', 2: 'D', 3: 'L'}\n",
" act_dict = {0: '↑', 1: '→', 2: '↓', 3: '←'}\n",
" labels = np.array([act_dict.get(action, '') for action in action_max])\n",
" labels[37:-1], labels[-1] = ' ', 'G'\n",
" labels = labels.reshape(dim_y, dim_x)\n",
" im = sns.heatmap(value_max, cmap=\"inferno\", annot=labels, annot_kws={'fontsize': 16}, fmt='s')\n",
" if show:\n",
" plt.show()\n",
" return im\n",
"\n",
"\n",
"def plot_rewards(rewards, average_range=10, log=False, ax=None, show=False):\n",
" # Generate plot showing total reward accumulated in each episode.\n",
" n_episodes = len(rewards)\n",
" if log:\n",
" rewards = np.log10(-rewards)\n",
" if ax is None:\n",
" fig, ax = plt.subplots()\n",
" smoothed_rewards = (conv(rewards, np.ones(average_range), mode='same')\n",
" / average_range)\n",
" ax.plot(range(0, n_episodes, average_range), smoothed_rewards[0:n_episodes:average_range])\n",
" ylab = 'Log of negative sum of rewards' if log else 'Total reward'\n",
" ax.set(xlabel='Episodes', ylabel=ylab)\n",
" if show:\n",
" plt.show()\n",
"\n",
"\n",
"def plot_performance(env, value, reward_sums, log=False):\n",
" fig, axes = plt.subplots(nrows=2, figsize=(12, 8))\n",
" plot_rewards(reward_sums, ax=axes[0], log=log)\n",
" plot_heatmap(env, value, ax=axes[1])\n",
" plt.show(fig)\n",
"\n",
"def plot_regret(regret_sums, average_range=10, ax=None, show=False):\n",
"\n",
" if ax is None:\n",
" fig, ax = plt.subplots(figsize=(12, 6))\n",
"\n",
" ax.plot(np.cumsum(regret_sums), color='orange', label=\"Cumulative Regret\")\n",
" ax.set_xlabel(\"Episodes\")\n",
" ax.set_ylabel(\"Cumulative Regret\")\n",
" ax.set_title(\"Regret Over Time\")\n",
" ax.legend()\n",
" ax.grid()\n",
"\n",
" if show:\n",
" plt.show()\n",
"\n",
" return ax\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "O9gy67fc6ebs",
"outputId": "65bab31d-f4f6-4ee6-c2cd-e81e3b886560"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Observations: Discrete(48)\n",
"Actions: Discrete(4)\n"
]
}
],
"source": [
"env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"env.reset()\n",
"\n",
"# TODO: Print the observation space and action space\n",
"print('Observations:',env.observation_space )\n",
"print('Actions:',env.action_space )"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Em9M7o2-2lDn"
},
"source": [
"## **Policy Definitions**\n",
"Implementing different policies for action selection.[link text](https://)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"id": "hHKy-SBOtfVf"
},
"outputs": [],
"source": [
"Actions =[0,1,2,3]\n",
"\n",
"\n",
"def random_policy(state = None,Q = None):\n",
" action = env.action_space.sample()\n",
"\n",
" return action"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
},
"id": "lf9ON4Jz6OM8",
"outputId": "acff2cb6-9ffd-4626-c717-2222b4a66cca"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" "
]
},
"metadata": {},
"execution_count": 6
}
],
"source": [
"create_policy_eval_video(env = env, policy = random_policy,filename='random', max_steps=50)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"id": "0zpNDaFztfVf"
},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"def greedy_policy(state, Q):\n",
" \"\"\"Greedy policy: selects the maximum value action.\n",
"\n",
" Args:\n",
" state (integer): current state\n",
" Q (ndarray): current value function of shape (n_states, n_actions)\n",
"\n",
" Returns:\n",
" action (integer): the chosen action\n",
" \"\"\"\n",
"\n",
"\n",
" # TODO: Select and return a greedy action\n",
" q = Q[state]\n",
" action = np.argmax(q)\n",
" return action\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"id": "pSJf5aHktfVf"
},
"outputs": [],
"source": [
"def epsilon_greedy(state, Q, epsilon = 0.1):\n",
" \"\"\"Epsilon-greedy policy: selects the maximum value action with probabilty\n",
" (1-epsilon) and selects randomly with epsilon probability.\n",
"\n",
"\n",
" Args:\n",
" state (integer): current state\n",
" Q (ndarray): current value function of shape (n_states, n_actions)\n",
" epsilon (float): probability of selecting an action randomly\n",
"\n",
" Returns:\n",
" action (integer): the chosen action\n",
" \"\"\"\n",
"\n",
" # TODO: Select and return an epsilon-greedy action\n",
"\n",
"\n",
"\n",
" p = np.random.rand()\n",
" if p current_steps:\n",
" current_steps += 1\n",
" # TODO: Run greedy policy\n",
" action= greedy_policy(state,Q)\n",
" n_state, reward, done, truncated, _, = env.step(action)\n",
" total_reward[episode]+=reward\n",
" # TODO: Break if terminated or truncated\n",
" if done or truncated:\n",
" break\n",
"\n",
" state = n_state\n",
" # TODO: Return mean and std of rewards\n",
" mean = sum(total_reward)/num_episodes\n",
" std = sum((total_reward - mean)**2)/num_episodes\n",
"\n",
" return (mean,std)"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {
"id": "t2RUT2RTtfVf"
},
"outputs": [],
"source": [
"import numpy as np\n",
"from collections import deque\n",
"\n",
"class learnEnvironment:\n",
" def __init__(self, env, episodes, n, alpha, discount, max_step, epsilon=0.1):\n",
" self.n = n\n",
" self.episodes = episodes\n",
" self.Q_table = np.zeros((env.observation_space.n, env.action_space.n))\n",
" self.alpha = alpha\n",
" self.discount = discount\n",
" self.max_step = max_step\n",
" self.epsilon = epsilon\n",
" self.Return_list = []\n",
"\n",
" def learn(self, env, learning_rule, epsilon_greedy_policy):\n",
" for episode in range(self.episodes):\n",
" t = 0\n",
" T = float('inf')\n",
" Return = 0\n",
" n_step_reward = []\n",
" self.state_list = []\n",
" self.action_list = []\n",
" state, _ = env.reset()\n",
"\n",
" while True:\n",
" if t < T:\n",
" action = epsilon_greedy_policy(state, self.Q_table, self.epsilon)\n",
" next_state, reward, terminated, truncated, _ = env.step(action)\n",
" Return += reward\n",
" n_step_reward.append(reward)\n",
" self.state_list.append(state)\n",
" self.action_list.append(action)\n",
"\n",
" if terminated or truncated or t >= self.max_step:\n",
" self.Return_list.append(Return)\n",
" T = t + 1\n",
"\n",
" tau = t - self.n + 1\n",
" if tau >= 0 and tau < len(self.state_list):\n",
" self.Q_table = learning_rule(\n",
" n_step_reward[tau:tau + self.n], self.Q_table, self.state_list[tau],\n",
" self.action_list[tau], next_state, self.discount, self.n, self.alpha, self.epsilon\n",
" )\n",
"\n",
" t += 1\n",
" if tau == T - 1:\n",
" break\n",
"\n",
" state = next_state\n",
"\n",
" return self.Q_table, self.Return_list"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {
"id": "MRVJhSnatfVg"
},
"outputs": [],
"source": [
"def calculate_n_step_Return(n_step_reward, discount=0.95):\n",
" G = 0\n",
" for r in reversed(n_step_reward):\n",
" G = discount * G + r\n",
" return G\n",
"\n",
"\n",
"# N-step SARSA algorithm\n",
"def sarsa(n_step_reward, Q, state, action, next_state, discount, n, alpha, epsilon=0.1):\n",
" \"\"\"N-step SARSA update function\"\"\"\n",
" next_action = epsilon_greedy(next_state, Q, epsilon)\n",
" n_step_return = calculate_n_step_Return(n_step_reward, discount)\n",
"\n",
" TD_target = n_step_return + (discount ** n) * Q[next_state][next_action]\n",
" TD_error = TD_target - Q[state][action]\n",
"\n",
" # Update Q-value\n",
" Q[state][action] += alpha * TD_error\n",
"\n",
" return Q\n"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"id": "WEbjZHTOmMzt"
},
"outputs": [],
"source": [
"#@title N-step Q-learning_algortihm\n",
"\n",
"def n_step_q_learning(n_step_reward, Q, state, action, next_state, discount, n, alpha,epsilon = None):\n",
" \"\"\"\n",
" N-step Q-learning: updates the value function (Q) and returns it.\n",
"\n",
" Args:\n",
" n_step_reward (list): the list of rewards collected over n steps\n",
" Q (ndarray): current value function of shape (n_states, n_actions)\n",
" state (int): the original state from which the first action was taken\n",
" action (int): the action taken at the original state\n",
" next_state (int): the resulting state after n steps\n",
" discount (float): discount factor (gamma)\n",
" n (int): number of steps\n",
" alpha (float): learning rate\n",
"\n",
" Returns:\n",
" Q (ndarray): the updated value function of shape (n_states, n_actions)\n",
" \"\"\"\n",
"\n",
" # TODO: Compute the TD error\n",
" n_step_return = calculate_n_step_Return(n_step_reward, discount)\n",
"\n",
" best_next_action = np.argmax(Q[next_state])\n",
"\n",
" TD_target = n_step_return + (discount ** n) * Q[next_state][best_next_action]\n",
"\n",
" TD_error = TD_target - Q[state][action]\n",
"\n",
" Q[state][action] += alpha * TD_error\n",
"\n",
" return Q\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cOI7kjKD4cmJ"
},
"source": [
"# **Exploration vs. Exploitation Trade-off**\n",
"In reinforcement learning, an agent must balance between:\n",
"- **Exploration**: Trying new actions to discover potentially better long-term rewards.\n",
"- **Exploitation**: Choosing the best-known action based on current knowledge to maximize immediate reward.\n",
"\n",
"### **Why is this Trade-off Important?**\n",
"- Too much **exploration** → The agent wastes time taking suboptimal actions and miss the optimal reward.\n",
"- Too much **exploitation** → The agent might **get stuck in a suboptimal policy** without discovering new possibilities for a better strategy.\n",
"\n",
"### **Epsilon-Greedy Policy**: \n",
" - With probability $\\epsilon$, the agent **explores** (chooses a random action). \n",
" - With probability $\\epsilon$, the agent **exploits** (chooses the best-known action). \n",
" - $\\epsilon$ is often **decayed over time** to gradually shift from exploration to exploitation.\n",
"\n",
"---\n",
"\n",
"# **Regret in Reinforcement Learning**\n",
"Regret in reinforcement learning measures the **difference between the reward an agent actually receives** and the **maximum possible reward it could have received** under an optimal policy. It quantifies **learning inefficiency** and helps evaluate how well an agent balances exploration and exploitation.\n",
"\n",
"### **Mathematical Definition**\n",
"Given:\n",
"- $R_t^{\\text{optimal}}$ is the reward the agent **could have obtained** in timestep \\( t \\) under the optimal policy.\n",
"- $R_t$ is the **actual reward** obtained by the agent in timestep \\( t \\).\n",
"\n",
"The **instantaneous regret** at time \\( t \\) is:\n",
"\n",
"$$\n",
"\\text{Regret}(t) = R_t^{\\text{optimal}} - R_t\n",
"$$\n",
"\n",
"The **cumulative regret** over \\( T \\) timesteps is:\n",
"\n",
"$$\n",
"\\text{Cumulative Regret}(T) = \\sum_{t=1}^{T} ( R_t^{\\text{optimal}} - R_t)\n",
"$$\n",
"A well-trained RL agent should aim to **minimize regret** over time.\n",
"\n",
"---\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "kpDtT4_oD26D",
"outputId": "a695d5e4-ad2c-4a12-d2b5-cce056bedee7"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"SARSA mean_reward = -17.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {},
"execution_count": 120
}
],
"source": [
"# @title epsilon = 0.1\n",
"# Optimal reward for Cliff Walking (assuming shortest path is 13 steps)\n",
"optimal_reward = -13 # Best case scenario\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 400# 50,n = 1\n",
"n = 1\n",
"discount = 0.95\n",
"alpha = 0.5\n",
"max_step = 1000\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"# learning_algorithm = learn_environment(epsilon_greedy,env,n_episodes,n,alpha,max_step,epsilon=0.1)\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.1)\n",
"\n",
"\n",
"\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, sarsa, epsilon_greedy)\n",
"value_sarsa, reward_sums_sarsa = results\n",
"\n",
"# Initialize lists to track regret\n",
"regret_sums_sarsa = []\n",
"\n",
"# Compute regret for each episode\n",
"regret_sums_sarsa = [optimal_reward - r for r in reward_sums_sarsa]\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_sarsa)\n",
"print(f\"\\nSARSA mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"plot_performance(env, value_sarsa, reward_sums_sarsa)\n",
"\n",
"# Plot regret\n",
"plot_regret(regret_sums_sarsa, show=True)\n",
"\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'SARSA', value_sarsa)\n"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "wwPlQ5B-cmuq",
"outputId": "8972048f-ea10-4c27-f98c-92ebeb935947"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"SARSA mean_reward = -17.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {},
"execution_count": 131
}
],
"source": [
"# @title epsilon = 0.5\n",
"# Optimal reward for Cliff Walking (assuming shortest path is 13 steps)\n",
"optimal_reward = -13 # Best case scenario\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 400# 50,n = 1\n",
"n = 1\n",
"discount = 0.95\n",
"alpha = 0.1\n",
"max_step = 1000\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.5)\n",
"\n",
"\n",
"#env, n_episodes, n, alpha, discount, max_step, epsilon=0.1\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, sarsa, epsilon_greedy)\n",
"value_sarsa, reward_sums_sarsa = results\n",
"\n",
"# Initialize lists to track regret\n",
"regret_sums_sarsa = []\n",
"\n",
"# Compute regret for each episode\n",
"regret_sums_sarsa = [optimal_reward - r for r in reward_sums_sarsa]\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_sarsa)\n",
"print(f\"\\nSARSA mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"plot_performance(env, value_sarsa, reward_sums_sarsa)\n",
"\n",
"# Plot regret\n",
"plot_regret(regret_sums_sarsa, show=True)\n",
"\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'SARSA', value_sarsa)\n"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "BnZufPTIRu_5",
"outputId": "dd23c45e-6f08-4867-b0fb-eb53e87f2d17"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"SARSA mean_reward = -17.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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TAVgTwz3BMMCVWhlqpPbTF4CdDMD++YwOlGDeSF9odcA/jxZYbmGEEGLlKAhAuJ4AlAlACCHEGNhSgGi/aycDdCbg83D7uCAAwM60MrOszVYo1VpkVwyuKSBL4iTESH83APYzJaBNqeZq/8d2CpI8MycaALAnoxwl9W2WWBohhFg9CgIQridAU5uK0jEJIUb1v/MV+IVGwA05udWGpoDdTAa42mLDlICjl2uoQW0nudUtUGq0kDgKEerpNOjjdYwKtI+SgIsVUmh1gJ+bA/wlYu7+sSHumDncBxqtDv/6nXoDkMGTKdSWXgIhRkdBAAJ3RyH4his19VQSQAgxksrmdjy7PR3PfJeOyuZ2Sy+HmFFuzfWbAnYW7eeK+BB3aLQ67EkvN/XSbEbnfgAMM/CmgKykCENfADtpDsj2A+iuVOLZufreALvOlaG8iT57yMBtPJKHMa//hi9PFFp6KYQYFQUBCHg8Bl7O1ByQEGJcx3ProNMBOh1wKJvqvYeSjskAvWcCAMDi8fpsgO/TSqHT6Uy2LluSydW7D64UgDXRMCEgr6bVLn7XnzcESeJD3K/ZlhjmiSlRXlBpdNj0O/UGIAPz7z+u4IMDudDp9KMnCbEnFAQgAPSjmgCg1g6+GBBCrMMfebXc/x+8VG3BlRBzUmm0KKzTTwaI7kMmAADcOjYQDgIe8mpauZO7oY7NBIgNcjfK8TydRRhhCMqctoO+AB2ZAN0HSdjeADvSSlFtR80QiXl8c6oYb+3L5n6+UNYMNZXMEjtCQQACoNOYQKrHJIQYgUarw5/5ddzPKQV1aJGrLLgiYi5FdTKoNDo4i64/GaAzN7EQCwwz3nemlZpyeTZBrtLgsiGbwliZAAAwie0LcMW2+wI0ypQoadA3/YvrIUgyKdITE8I9oFRr8fmxK2ZcHbF1u86W4bU9WQCAx2dGwdVBgPZO/yYJsQcUBCAAOsYE1suoJwAhZPAuVjSjqU0FVwcBwrycoNLo8EduXe8PJDaPbQo4zM+1X7Xsd40PAQD8fL4CcpXGJGuzFZcqpdBodfB2cUBAp6Z3g5UUaegLYOOZAOzoxAhvZ0ichN3uwzAMlw2w7XSxXZRAENPbm1mJF384DwB4aEo4XlowAmMNJSfpJU2WWxghRkZBAAKg05hAygQgVqyiqR3PfpeOcyWNll4K6cXxPP0J/+QoL8wfrb/Ce/AS1VQOBezYtuG+fSsFYE2O9EKQuyNa5Gr8dnFov1cyO6W6G6MpIIvtC5BT1YJGGw76s6UAY3vJkpge7Y2xIe6Qq7T493HKBiDXdySnGs9tT4dWB/x1fAhW3zIKDMMgIdQdAJBheN8RYg8oCEAAdCoHoEg5sWJv7c3Gz+cr8NHBXEsvhfTiWK6+H8D04T64YZQfAOBITg2NIR0C8mr61xSQxeMxuMMwLnBnWpnR12VL2CvdxiwFAPQjgYcZgjOni2w3G6CjaaL7dfdjGAbPztFPCvgmpdimAx/EtE7k1+Hx/56DWqvDwrGBePv2WPAMk7PiuUwAugBB7AcFAQgA/RcDAKijEYHESuVWt2BfViUA4FxxIzXosWKtCjXOFeu/LM2M9sG4UA94OosglatxxoZPPEjfsOUAfW0K2NliQxDgREHdkB7tdqHMNEEAAEiKYPsC2Oa/RZ1Oh4xS/Z/P2G4mA1xtTowvRge6oU2pwRYa80a6kVbUgL99nQalWosbRvlh/V1judHZQEcQoKBWhuZ26m1D7IPNBAEWLlyI0NBQiMViBAQE4P7770dFRUWXfTIzMzF9+nSIxWKEhIRg3bp11xxn586diImJgVgsRmxsLPbt29dlu06nw+rVqxEQEABHR0fMmzcPeXl5Jn1t1qAjCECZAMQ6bTySD3ZymEypwaVKqWUXRHp0qqAeaq0OYV5OCPVyAp/HYE6MLwCaEmDvlGotigyTAUb49y8TAABCPJ0wOdILOp2+OddQ1KpQI79WH0gx1mSAziYZ+gKcstHmgJXNctS1KiDgMRgd6Nbr/vreAPpsgK9OFNFJHOniQlkzHv7yDNpVGkyP9sbGexIg5Hc9PfJycUCopxOAjlIUQmydzQQBZs+eje+//x6XL1/Grl27UFBQgDvvvJPbLpVKceONNyIsLAxnz57F+++/j9dffx2bN2/m9jl58iSWLFmCpUuXIj09HcnJyUhOTkZWVha3z7p16/DJJ59g06ZNSE1NhbOzM+bPnw+53L7Hy1AQgFiz/JpW/C9TH/SL9HEGYB8jruzVccNowOnR3tx9bEnAwUvVNAfejhXWyaDW6uDqIIC/28Aa2i0er88G+OFsGbTaofdeuVjeDJ0OCJSI4WPo12NMSYYJAdlVUjS32d4JMXsSNsLfFWIhv0+PuXGUP0b4uaJFocbXJ4tMtzhiUy5XteD+LaloUagxMcITm+8fDwdB9+8p6gtA7I3NBAFWrFiBSZMmISwsDFOmTMGqVatw6tQpqFT6X2DffvstlEoltmzZgtGjR+Puu+/Gs88+iw8//JA7xoYNG7BgwQK8+OKLGDlyJN58802MGzcOGzduBKDPAvj444/x6quvYtGiRYiLi8PWrVtRUVGBPXv2WOJlm423q74nQINMCc0Q/NJFrNu/juqzAG4Y5cd1EKcggPVimwJOj/bh7pse7Q0HAQ9lje00ZsmOsX+30X4uA25o95cxAXBxEKCkoc3mu9gPRKahFCDWBKUAAODrKkaktzN0Othkec55rlTCvc+P4fEYPGXIBvjPn4U0rpSgsE6Ge79IRVObCmND3LHloQlwFPUcVKK+AMTe2EwQoLOGhgZ8++23mDJlCoRC/WiYlJQUzJgxAyKRiNtv/vz5uHz5MhobG7l95s2b1+VY8+fPR0pKCgCgsLAQVVVVXfaRSCRISkri9umOQqGAVCrtcrM1nk4iMAyg1ekDAYRYi6I6GfZklAMAnp0TjQnh+qtYacWNdEXZCpU2tOFKnQx8HoPJUV7c/U4iAZcZcPAilQTYq7zqgTUF7MxRxMctcQEAgJ1nS42yLlvS0RTQ3WTPwWYDpBbaXkkAmwkQH9K/IMnNsQGI9HFGc7sK35wqNsHKiK0oa2zDvf8+hbpWBUYGuGHrwxPh4iC47mMSQj0A6DMB6LsHsQc2FQR46aWX4OzsDC8vL5SUlOCnn37itlVVVcHPz6/L/uzPVVVV192n8/bOj+tun+688847kEgk3C0kJGSAr9ByBHwePJxoQgCxPv88mg+tTt/cKTZYgtggCcRCHhpkShQY6maJ9WCzABJC3OEm7jq/e95IQ0lANgUB7FUulwkw8CAAACw2ZPz8eqEKrQr1oNdlSzo635smEwAAkiL0ATpby7TQanW4MMAgCZ/H4KlZ+myAL44Xok05tN5XRK9aKsc9/05FRbMcUT7O+GbpREichL0+blSAG0QCHhrbVCiubzPDSgkxLYsGAVatWgWGYa57y8nJ4fZ/8cUXkZ6ejgMHDoDP5+OBBx6wimjcyy+/jObmZu5WWmqbVy5oTCCxNiX1bdidrs8CYBs7iQQ8JIToI/K29gV2KGD7AcwY7nPNtrkj/cAw+nTnqmb77rMyVOUZJgMMH8BkgM7Ghboj0scZ7SoN9mZW9P4AO9Hc6QQjzgRNAVlsJkBWeTOkNpQaf6WuFa0KNcRCHqJ9+/8eWxQfiFBPJzTIlNiWWmKCFRJrVt+qwL1fpKKkoQ0hno749m+TuJ5YvREJeFwjyvRSKgkgts+iQYAXXngB2dnZ171FRkZy+3t7e2P48OG44YYbsH37duzbtw+nTp0CAPj7+6O6uuvVJfZnf3//6+7TeXvnx3W3T3ccHBzg5ubW5WaLqDkgsTb/+j0fGq0OM4b7cKl4ADDBMOLqDAUBrIpao8WJfLYfgPc1231cHZBgqKs8RNkAdkeu0qCoXj8ZYDDlAIC+o/viRH02wM60oTMlgL3KHebl1KerkwMVIHFEmJcTtDrgbJHtnNCcN4wGjA2SQMDv/1dYAZ+HJ2dFAQA+/+MK5CqNUddHrFdzmwr3/+c08mtaESARY9vfJsFf0r/mpewFiIySJhOskBDzsmgQwMfHBzExMde9da7x70yr1c8IVyj0J6yTJ0/GH3/8wTUKBICDBw9ixIgR8PDw4PY5fPhwl+McPHgQkydPBgBERETA39+/yz5SqRSpqancPvaMDQLUt1JPAGJ5ZY1t+MEwIuy5ucO6bGPnXFNzQOuSWd4MqVwNN7Ggx1TdG0bpA6o0KtD+XKmVQasD3MQC+Bqhq/3t44LAY/T9P4ZK6c95rhTA3eTPxX6OnrKhvgDG+PO5fVwwgtwdUduiwI4ztpm5SfqnVaHGQ1+dxqVKKbxdRPjv35IQYhj51x/xhgkB6TQhgNgBm+gJkJqaio0bNyIjIwPFxcU4cuQIlixZgqioKO7k/J577oFIJMLSpUtx8eJF7NixAxs2bMDzzz/PHee5557D/v37sX79euTk5OD1119HWloann76aQD6Kw/Lly/H2rVr8fPPP+PChQt44IEHEBgYiOTkZEu8dLNigwC1lAlArMBnvxdArdVh6jAvJIZ5dtmWEOoOAY9BRbMcZY1Um2ctjufqswCmRXuDz+u+M/wNo3wBACkF9UOu1tve5dV0NAUc6GSAzvzcxJg1Qv9+YQOC9u4C2/k+yHT9AFhcX4ArthNMZScDjDVkFA2ESMDD44ZsgE3HCqBQUzaAPZOrNPjb12eQXtIEiaMQ//1bEqJ8BlauxGayXaqQUhYJsXk2EQRwcnLC7t27MXfuXIwYMQJLly5FXFwcjh07BgcH/YmrRCLBgQMHUFhYiMTERLzwwgtYvXo1li1bxh1nypQp2LZtGzZv3oyxY8fihx9+wJ49ezBmzBhun5UrV+KZZ57BsmXLMGHCBLS2tmL//v0Qiwc279iWsGMC61ooE4BYVkVTO75P01+heXZO9DXbnUQCjDF8SaZsAOvxh6EfQOfRgFeL8nFBhLczlBotjl2uNdfSiBkYqylgZ4sTgwEAu8+VDYnxtWxTQFONB+yM7QtwobwZMhsIyCnVWmRX6KcvjR3kn8/ixGD4uTmgslmOXWfLjbE8YoUUag0e++YsTl1pgIuDAFsfmYgY/4GX7AZ7OMLbxQFqrQ4XK5qNuFJCzM8mggCxsbE4cuQI6uvrIZfLUVhYiM8++wxBQUFd9ouLi8Px48chl8tRVlaGl1566ZpjLV68GJcvX4ZCoUBWVhZuuummLtsZhsGaNWtQVVUFuVyOQ4cOYfjw4SZ9fdaCegIQa/H5sQKoNDokRXgiKdKr230msn0BbHDOtT1qblchw5Ai2V0/ABbDMLhhlH5KAPUFsC+5RmoK2NnckX7wcBKiWqrggkz2qrZFgYpmORgGXJDTlII9nBDk7giNVoe0YuvvC5BTJYVSo4W7kxChA0jl7kws5OOxGfpsgH/9ng+VRmuMJRIrotZo8ex36TiWWwuxkIcvH54wqAwSQP/7K95wjHTqC0BsnE0EAYh5+FAQgFiBaqkc3xnqNJ+be20WAGtCOPUFsCYpBfXQaHWI9HFGsMf1v6CzowKP5NTQl287klfdUQ5gLCIBD4vi9QH/nWn2Xb99obwJgD5bpreZ5cYyKZItCbD+vgBsKUBcsLtRyk2WTAyFt4sIZY3t2JNO2QDmJJWrkF7SiGqpHFoTZPhotDr8fed5/HaxGiI+D/9+YDz3nWGwEqgvALET5vktQ2wCZQIQa/D5sStQqrUYH+aByVHdZwEAwIRwfcPPgloZ6loVfR7zQ0yDGw14nVIAVmKYBzydRWiQKXGmqAFTonrOHCC2Qa7SoLhB358j2oiZAABw1/gQfHWyCIcu1aBRpoSHc/cNg21dJneSa/osAFZSpCd2nSuziXGr5w0nXfFG+vNxFPHx6PRIvPNrDv71ewFuSwga0MQB0j/tSg3u/OwklzkkEvAQ7OGIUE8nhHg4IcTT0fBf/U3i2L8pGTqdDq/uuYA9GRUQ8Bj8695x1y1R6y+2LwBNCCC2joIAhMP2BKhvVUKr1YHXQ2MvQkylpkWOb1OLAQDPzo2+7tUedycRRvi54nJ1C9KKGrBgTIC5lkm6cTyv59GAV+PzGMyJ8cUPZ8tw6FINBQHsQH5NK3Q6wN1JyGWVGcuoQDeMDnTDxQopfsoox0NTI4x6fGthzqaArEmG5oCZZU1oV2rgKOKb7bn7K9MEkxPumxSGTccKUFgnwy+ZlUhOCOr9QWRQ3vk1G7nVrRDxeVBrtVCqtbhSK8OVWlm3+7uJBfqAgIcTQr2cEOLhiGDDz8EejhALO96zOp0Oa365hO9Ol4LHAB/9NR7zDOVnxhIX4g6GAcqb2lEjlcPXzf57hhH7REEAwvFy1n9xU2t1aG5X2e3VFmK9vjheCIVai/gQ9z6dTE6M8MTl6hakFlIQwJKK62UoaWiDkM9w6cW9uWGUH344W4aD2VV47ZaRRknvJZbDTQbwNc5kgKstTgzGxYpL2Hm2zC6DADqdriPdfZB1y/0R4umIAIkYlc1ynCtpxNRh1hmQa1WokVejv3IcF2K8IImzgwBLp0XggwO52Hg0HwvHBtIFEBM6mlODrSn6QP8XD47H5CgvVDbJUdrYhtKGNpQ0tKG0sR2lDW0oa2xDXasSUrkaFyukuGhoCnk1PzcHLnNApdHil8xKAMB7d8Th1rGBRn8NLg4CDPfVX4BIL23C/NH+Rn8OQsyBggCEIxLw4CYWQCpXo65VQUEAYlb1rQp8Y/hy8FwvWQCsCRGe+OZUMTUHtLA/cvWlAONCPeDcx1rm6dHecBDwUNrQjsvVLYPq2Ewsj03tNXYpAGtRfBDe3pdjOBloxuhA810tN4cqqRx1rQrweQxGBZjv3wLDMEiK8MSejAqkXqm32iBAVnkzdDogUCKGr6txr7w+MCUcm/+4gvyaVvyaVYWb4yigbAp1rQq8+EMmAODhqeGYMVyfoh/qpb/C3x2ZQo0yQ1BAHyho5wIGpQ1tkCk1qJYqUC1VdGluuWbRaCweH2Ky15IQ6o7L1S3IoCAAsWEUBCBdeLs6QCpXo7ZVYdQxT4T05os/C9Gu0iAuWIJZI/pWvzfR0OjnUoUULXIVXMX9qx0kxvGHoRSA/VLXF04iAaYN88bhnBocvFhNQQAbZ4qmgJ15OIswb5Qv9l2ows60MoxeaF9BgPOl+iyA4X6uXdKbzWFSpBf2ZFTg1BXrDaay/QAG2929O25iIR6aGoFPDufh0yN5+MsYf8oGMDKdTodVuy6grlWB4X4ueGlBTJ8e5+wgwAh/V4zwv/ZzRafTobFNxQUIShraUN7YjnGhHrjDMFrUVBJC3bH9TCnSS6x/qgYhPaEOKKQLtrlafavSwishQ0mjTImtJ4sAAM/O6VsWAAD4S8QI9XSCVgectYERV/ZIpdEipUDfWbwvTQE7o1GB9sPUmQAAuCt7P2WUQ6m2r6kS7GSAsWZsCshix7BmlDZBrtKY/fn7IrPTZABTeGRqOJxFfORUtdDnkQl8d7oUh7L1nfo//muCUQJdDMPA01mEsSHuuCUuEE/OGoa3bos1eQAAAOJD9I2JM8uaoTHBdANCzIGCAKQLGhNILGHLiULIlBqMCnDD3JG+/XosO/aHSgIsI6O0Ca0KNTychBgd2L+r+XNG+oJh9KO/qqVyE62QmFq7UoPSRv1kAFNlAgD6IJOfmwMa21Q4bGcnauxJbqwFggDhXk7wdXWAUqO12tnnGVwmgGn+fNydRHhgSjgA4NMj+dDp6MTOWK7UtuLNXy4BAF6cPwKj+vl7whoN89WP8WxTapBryIIi9u9kfp1dfTZQEIB04e2i7wNAQQBiLs1tKnx1oghA7xMBupMUoQ8CnLaBEVf26LihH8C0aJ9+p9D6uooRb0jvPXjJvk7qhhJ2MoCXs8ikozr5PAa3j9Nf5dt5tsxkz2NuOp2OCwKMNdGV7uthGIbLBkgtrDf78/emrlWB8qZ2MAwQa8LJCX+bFgFHIR8Xypvxu+FzjQyOSqPFih0ZaFdpMCXKC0un2UdTTz6P4UZ5WmvgjBjX/qxK3PNFKpZ+nQatnWR/UBCAdMF+gatroXIAYh5fnixEi0KNGH9X3DiAUT4TDEGA86XNVpvKas+O9WM0YHfYkgAKAtiuy4YrYaYsBWAtNqT6/n65xm6yR0ob2tHcroKIzzNpJsX1sMHUVCvsC8COBoz0djZp3xcvFwfcmxQKAPj0cJ5dXfGzlE8O5+F8WTMkjkKsv2usXfVaSAh1BwBklFIpor1rblPhtZ8uAgBGBbjZzfuYggCkC29XKgcg5iOVq7Dlz0IAwDNzogf0wRru5QQfQyor2zyKmEdTm5L7gj7QIAAb+EkpqEerQm2spREzMnVTwM4ifVwwPswDWh2w+1y5SZ5DaxiTay7nDf+GRga4QiSwzNcydrTnuZJGKNTWFUxlmyaaoing1ZbNiIRIwMO5kiacLLC+rAhbklbUgH8ezQcAvH1bLAIkjhZekXGxfQEoE8D+vbXvEmpbFIjyccbTc4ZZejlGQ0EA0oU39QQgZrT1ZBGkcjWifV3wlzEDG7PDMAw3JYD6ApjXifx66HTAcD+XAX/Bi/JxQbiXE5QaLTdqkNiWXC4TwDxXsRePZ0sCSo1ytbZFrsKfeXXYcCgPD245jfg1BzD2jQPYmVY66GP3xYVy0za964soH2d4uzhAodZyJ93Wgg2SmKNUwtdNjCUT9A0oPzmcZ/Lns1ctchVWfJ8BrQ64fVyQXY5dZEvZ8mtbIZWbL2hIzOvPvDp8n1YGhgHeuyPO7NNbTImCAKSLjp4AVA5ATKtVocYXhiyAp+cMG1R61YRwfUQ+lfoCmNXxPP1J+/R+TgXojGEYKgmwcexkgOG+pi8HAICb4wLhKOTjSq0M5/p5FU6n06GwToZdZ8vwyo8XsODjPxD3xgHc959UfHQoF8dyayGV6zNSVv90EYV1MhO8gq7YDCZLNAVkMQzTqSTAeq6Ad+mXYIZMAAB4bGYUhHwGqYUNVvVnYUte//kSShvaEezhiDcWjrb0ckzCx9UBIZ6O0OmATCsLnBHjaFOqsWp3JgDgwcnhGG+44GQvKAhAumAzAWpbFVQPR0zqm5RiNLWpEOntjFviAgd1rIkRhlTW4kaoNfY1Osxa6XQ6HB9kPwDWDaP0WSBHcmro78/GyBRqlDe1AzBPOQAAuDgI8JdY/Xvmh7PXv1rfrtQg9Uo9/vV7Pv729Rkkrj2E2R/8jhd2nse21BLkVLVApwNCPB2xKD4QaxaNxi/PTMOUKC+0qzRYsSPDpO9JrVaHrHLLNQXsLCnSEASwomBqWWM7GmRKCPkMRgaY5/0V6O6IOxP12QCfHsk3y3Pak72Zldh1rgw8Bvjor/Em7eNgaR0lAdQXwB598FsuyhrbEeTuiBfnj7D0coxOYOkFEOvCBgGUai1aFGq42fGHN7GcNqUa/z5+BYA+C4A/yCYrI/xd4SoWoEWuRnZli0WvqA0VV+pkKG9qh4jPQ5IhCDNQiWEe8HASorFNhTNFjZgcNbjjEfPJq9FnAXi7OMDDWWS2571rfAh2nyvH/85X4rVbRsFJJIBOp0N5UzvOlTThXHEjzpU04lKFFOqrOjmLBDzEBkmQGOaBcaEeGBfmDl9XcZd9Plg8Fgs+/gMZpU3YeDQfy+cNN8nruFLXCplSA0chH1E+ziZ5jr5i/x2fLW6ESqOFkG/560Qd/RLc4CAwXxruk7Oi8H1aKf7Mr8PpwgZMjLD+K4A6na7f03WMrbK5Ha/8eAEA8OSsYdwIX3uVEOKO/52v4EZYEvtxrqQRX57UZ6u+fXssnB3s75TZ/l4RGRRHER/OIj5kSg3qWhQUBCAm8d9TxWiQKRHm5YSFYweXBQDox/VMCPfEkZwapBbWUxDADNj6/QkRHnAUDe7LOZ/HYE6MH3adK8PBS9UUBLAhuVxTQPOUArCSIjwR6umEkoY2vLbnItpVapwtbkS19Np+Nn5uDp1O+D0wOrD3E8pAd0e8mTwGz23PwKdH8jFzuA8SQj2M/jrYVPcxQW4QWPikO9rXBZ7OIjTIlMgsa0ZimPFfb3+xfz5xZv5MD/F0wu0JQdh5tgx/+/oMvnhwglUHAtKKGvDMd+kI9XTCh3+NR5C7+ZvwabU6/H3neTS3qxAXLMFz86LNvgZzizdMCEgvbbKKIAwxDoVag5d+yIROB9wxLhgzhw+85NGaWT7MS6xOx4QA6gtAjK9dqcHmP/RZAE/NHma0L74ThkhzQKlchX/8eIHrym8pbCnAjEH0A+iM6wuQXUWlSDbEnJMBOmMYBncaxgXuOleGfReqUC1VQGCY3/3QlHB8siQBJ1bNwamX5+Jf9ybib9MjMS7Uo89XlBfFB2FRfCA0Wh1W7MiAzATTK9iT3Nggd6Mfu794vI4mq6espBaevcJqiVKJV28ehcQwD0jlatz/n1QcuFhl9jX0xa8X9PPLK5vlSC1swC2fHMfvl2vMvo4tJwpxIr8ejkI+Pv5rvFVkkpja6EA3iPg8NMiUKG1ot/RyiJH882gB8mpa4e0iwmu3jLT0ckzG/v+Fkn5jSwLqaUIAMYFtp0tQ16pEsIcjbksIMtpx2as0Z4oa7fok8vszpfg2tQTPfJdusfp5hVqDFMP4rME0BexsxnBviAQ8lDa0c43miPVj/66izZwJAAD3TQrDjOE+mDfSDy8tiMGOZZNw4fX5+PnpaXh94WgsHBuIIHfHQV2dW7NoDAIlYhTVt2Ht3mwjrl6PDeaZ+0p3T6ypL4Cmc78EMzUF7EziJMR/lyZhbowvFGotHv/vWWw/XWL2dVzPF8ev4Mlt56BUazEnxhexQRI0tqnw8FdnsP7AZWi05vldmF0pxbr9lwEAr94yEpE+5v88sAQHAR8jA90AAOml1BfAHmRXSvEvw2jLNYvGwN3JfGVu5kZBAHKNjgkBFAQgxiVXabDpWAEAfRaAMa8UxAZJIBbqI/IFtfZ7EnmpUgoAKK5vw+5008xJ78254ia0qzTwdnFAjL9xrgA7iQSYNkzfYPDgJeu84kauZalMAADwdBZh6yMT8cWD4/HErCgkRXoNujTlahJHIT64aywYBvjudIlRJ1ioNVpcrND/e7aaIADbF6CoweJNOvNrWtGm1MBZxEeUhU4qHUV8fH5/Iu4aHwytDli1+wI+PZxn8UCzRqvDG/+7iLV7s6HTAQ9MDsO/HxiPnY9Pxn2TQqHT6ZsaPrAlFbUtpv0uJ1dpsHx7BpQaLeaN9MU9E0NN+nzWJsEQoErv56QSYn3UGi1e2pUJtVaH+aP9Bjy62lZQEIBco2NCAJUDEOPacaYUtS0KBErEuGNcsFGPLRLwuLm91nAVy1RyKlu4/994JB8qC3xR7xgN6D2o0Y5Xo1GBtqVFrkJFsxwAMNzX/EEAc5kS5Y1Hp0cCAFbtyjTaSVVudSsUai1cHQQI97JsU0BWjL8rJI5CyJQaZBkCFJbCNgUcEyQZdPPYwRDweXjvjjg8OSsKALD+YC7+7+eLZrvKfjW5SoMnvz2LL08UAQBeuSkGbywcDT6PgVjIx9rkWGy4Ox5OIj5O5Nfj5k+O47QJfye+/9tlXK5ugbeLCO/eETfk6uITOvUFILbtyxNFyCxrhqtYgDcXjbH79zIFAcg12CAAZQIQY1KoNfjsd30WwBOzh0EkMP7HDzsq8IydBgFUGi3yDd3YnUV8lDS04cdz5s8G+KNTEMCY5o70BcMA58uaUS2VG/XYxPjYyQC+rg6QONl3E9kXbhyOGH9X1MuUWLUr0yhXgi+UNwEAYoMlRg2mDQaPx3ClVakW7gtw3nBSFW+BUoCrMQyDlQti8H+3jgLDAFtTivHsd+lQqDVmXUd9qwJL/n0Kv12shojPw6dLErBsRtQ1JyuL4oPw89NTEe3rgpoW/WM2HSswegbD8bxa/OdPfQf19+8cy31/HEoSDGMCsyukZn8/EOMpqpNh/UF9SctrN4+Cr5u4l0fYPgoCkGtwjQFNnEJGhpadaWWoksrh7ybGXeONmwXAYptamfKqhyUV1smg1Gjh4iDgOi9/ejTPrNkA9a0KZJXrrxBOM3IQwNdVzH3hP5RN2QDWzpKlAObmIODj47vjIeLzcDinBtuMUBt+nm0KaCWlAKykCOtoDtgxGcDdouvo7OGpEdhwdwKEfAZ7L1Ti4S/PoEWuMstzF9XJcMdnJ5Fe0gSJoxD//VsSbr3OdJ1hvq746empuC0hCBqtDu/+moNHt55Fc5tx1tsoU+LvO88DAO6fFIbZMb5GOa6tCfF0hJezCMpO5T3Etuh0OqzanQm5Soupw7yw2ETfUa0NBQHINXyoJwAxMqVay2UBPD4z0mTznseFuUPAY1DRLEdZY5tJnsOSsg39AGL8XXH/pHB4uzigtKEdu8+VmW0Nf+brpwKMDHC7Zra6McwbSSUBtsKSTQEtIcbfDSsXjAAArP0lG1cG2XvkguEk1xKd769nUqQ+oyqtqNGiKe/s593YEOsKkiwcG4gvH5oIZxEfJwvq8dfPT6GmxbSZS+dKGnH7ZydRVN+GYA9H7Hpicp9GFjqJBPjwrrF4+7ZYiPg8HMquxs2fHufeewOl0+nwyo8XUC1VIMrHGa/cZL8d1HvDMAwXvKa+ALZp+5lSnLrSAEchH+/cNnRKWigIQK7RUQ5APQGIcew+V4bypnb4uDrgbhM2DXISCTA6SP+F0R5HBeZU6a+8xgS4wlHEx+Mz9XXKnx7Jh1JtnmyAjtGAxs0CYN1o6AtwMr8erSYYyUaMJ3cIZQKwHpkaganDvNCu0mDF9+cHnIWjUGuQU6U/yY0Nsq6T3JEBbnAVC9CiUOOSha5sZldKodbq4OUsssjM+95Mi/bG9mWT4e0iwqVKKe78LAVFdTKTPNf+rCos2XwKDTIlYoMk2P3kFAzrRw8OhmFwT1Iodj85BSGejihrbMcdn53EN6eKB1we8MPZMvyaVQUBj8GGuxOM3pDT1rB9ATKoL4DNqWqW423D5Je/zx+BUC8nC6/IfPoUBJBKpX2+EdtHPQGIMak0Wvzzd/24lcdmREIsNO2XBTaV1R5LAnK4TAD9SKJ7k8Lg7eKAskbzZAPodLpOTQGNMxrwasN8XRDu5QSlRos/cmtN8hzEOPIMmQDDh0gmAKCvmf9g8Vi4iQU4X9qET4/kD+g4OZUtUGl08HASItjDuk5y+TwGEwylVcfzLfNvkO0HEBcssdqrcrHBEvzw+BSEejqhpKENd246yY00NJavThTiiW/PQmEYAbh92aQBZ2CNCZLgl2em48ZRflBqtHhtTxaW78iArJ/B1pL6Nrz+80UAwPM3DscYKwtiWUK8oS9AegmNCbQlOp0Or+65gBaFGvEh7nhoSrill2RWfQoCuLu7w8PDo083U1m4cCFCQ0MhFosREBCA+++/HxUVFdz2oqIiMAxzze3UqVNdjrNz507ExMRALBYjNjYW+/bt67Jdp9Nh9erVCAgIgKOjI+bNm4e8vDyTvS5r5GUoB2hTatCmpCtxZHD2pJejtKEd3i4i3JsUZvLnm2DHfQGyDZMBRgborwI5ivh4wtCx2hzZALnVraiWKuAg4GF8uGk+7xmG4aYEHKKSAKvV3K5ClaF5Y3+uStqDAIkj3rotFgDwz6P5ODeAL/6Z5R317tZ4kstm5GxLLbFISQDbD2CsFTQFvJ5wb2f88MRkjApwQ12rEn/9PAV/GrKlBkOr1WHtL5fw+v8uQacD7kkKxeb7E+HsIBjUcSWOQnx+fyL+cdNI8HkMfsqowKJ/nuD6e/RGrdFi+Y50yJQaTIzwxGMzoga1HnsRFyIBwwBlje0mH8lIjOeXzEocyq6BkM9g3Z1xFp1CYgl9CgIcPXoUR44cwZEjR7Blyxb4+vpi5cqV+PHHH/Hjjz9i5cqV8PPzw5YtW0y20NmzZ+P777/H5cuXsWvXLhQUFODOO++8Zr9Dhw6hsrKSuyUmJnLbTp48iSVLlmDp0qVIT09HcnIykpOTkZWVxe2zbt06fPLJJ9i0aRNSU1Ph7OyM+fPnQy4fOp2qXRwEcDB0bq9roZIAMnBqjRb/PKq/Uvbo9EizpAyOD9OfnBbUyuwqm6VRpuROujqnX9+bFAofVweUN7Vjl4mzAdgsgKRIL5NmdLB9AY5crrH4rHLSvfwa/UmDv5sYEkf7ngzQnVvHBiI5PhAarQ4rBnA1NbPTlW5rtCg+CO5OQpQ1tlukSSc7HtDa+iV0x9dVjB2PTcLkSC/IlBo8/NVp/O98Re8P7IFcpcHT353DF4au+ysXjMBbyWMg4BungpdhGDw6IxLbl02Cn5sD8mtasXDjCfyY3vvvj3/9XoBzJU1wddD3GhhqJ009cRMLEe2rz4iikgDb0CBTchktT8+OHlJlbaw+faLMnDmTu23duhUffvgh3nnnHSxcuBALFy7EO++8gw8++ABffvmlyRa6YsUKTJo0CWFhYZgyZQpWrVqFU6dOQaXq2uXUy8sL/v7+3E0o7PhysmHDBixYsAAvvvgiRo4ciTfffBPjxo3Dxo0bAeizAD7++GO8+uqrWLRoEeLi4rB161ZUVFRgz549Jntt1oZhGK4koNaOTqKI+f0vswJF9W3wcBLivkmmzwIAAA9nEUYYPszT7KgvANsPIMTTEa7ijs81sZCPJ2bqr8ZsNHE2wB8m7gfASgzzgIeTEE1tKpwpovRKa3S5ylAK4D/0vjix3lg0BoESMYrr27B276V+PfZCufV1vu/MUcTHEkP/li2Gk1FzkcpVKKjV19dba5Dkaq5iIb56ZAJujg2ASqPDs9vT8dWJ/v+5NcqUuO+LVOy7UAUhn8GGu+Px5KxhJskWmRDuib3PTse0Yd76Hhc7zuOVHy9Arup+zF1GaRM2HNZnxr6ZPAbBHkOndrov2OaAGaX0O8sWvPnLJdTLlBjh58plVA41/Q4rpqSkYPz48dfcP378eJw+fdooi+pNQ0MDvv32W0yZMqXLST6gLxvw9fXFtGnT8PPPP3fZlpKSgnnz5nW5b/78+UhJSQEAFBYWoqqqqss+EokESUlJ3D7dUSgUdtcbgR0TWE9BADJAGq2Oq5f92/TIQacx9seECH02QKodlQSwTcTYfgCd3ZMUCl9DNsDOs6UmeX65SsPNDZ8x3DT9AFgCPg9zYgwlATQq0CpxTQF9h04/gKtJHIVYf1c8GAb47nRpnydatCnV3J+fNZ/k3j8pDHweg9TCBlysMG6t+/VkGUoBgj0c4WVDc+cdBHx8siQBD0wOg04HvP6/S3j/t5w+N98rqW/DHZ+dRFpxI1zFAmx9JAmL4oNMumZvFwd8/chEPDs3GgyjL/+4c9NJlNR3na4jU6ixfHs6NFodFo4NRHKCaddlixJC2b4ATZZdCOnV0Zwa/JheDh4DvHdnHESCodknv9+vOiQkBP/+97+vuf+LL75ASEiIURbVk5deegnOzs7w8vJCSUkJfvrpJ26bi4sL1q9fj507d2Lv3r2YNm0akpOTuwQCqqqq4Ofn1+WYfn5+qKqq4raz9/W0T3feeecdSCQS7mbqPwdz6BgTSOUAZGD2XqjElVoZJI5CPDDZPFkArIkR+hFX9jQhIIftB9DNlVexsKM3wD9NlA2QVtQIhVoLPzcHLu3RlG4YpZ85ffBS9YA7WBPTyasZepMBujM5ygvLpuundKzaldmneuBLFVJodYCfmwP83Iw/ZtNYAt0dsWCMPwDgqxNFZnveDLYUwMr7AXSHz2PwxsLReOGG4QCAfx4twEu7Mnsta8oobcJt/zqBK3UyBLk7YtcTUzA5ysscSwafx+D5G4bj64cnwtNZhKxyKW7+9Dh+u9jxvXft3ksoqm9DoESMN5PHmGVdtobNBDhf2mSx0Zqkdy1yFf7x4wUAwNJpEdzf21DU7yDARx99hE8//RSxsbH429/+hr/97W+Ii4vDp59+io8++qhfx1q1alW3zfw633Jycrj9X3zxRaSnp+PAgQPg8/l44IEHuC+H3t7eeP7555GUlIQJEybg3XffxX333Yf333+/vy+x315++WU0Nzdzt9JS01yJMyeaEEAGo0Yqx4ZDuQD0H7Kd09fNYaKhOeClCila5Kpe9rYNXCZAwLWZAACwZKI+G6CiWY7v04z/GdR5KoA5GplNj/aBSMBDSUMbN4+eWA/27yR6CE0G6MnzNw7HyAA31MuUeGlXZq9BK7bpXWyQuxlWNziPTA0HAPx0vsJsmYGZpYamgFacJXE9DMPgmbnRePf2WPAY4Pu0Mjz+37NoV3afZn/wUjXu3pyCepkSowPdsPvJKRYJrs0Y7oO9z07DuFB3tMjVeOybs3h7Xzb2XajEd6dLwTDA+rvih2QPkL4Y7ucKJxEfMqUG+TX0O8tardt/GRXNcoR6OuH5G0ZYejkW1e8gwE033YS8vDwsXLgQDQ0NaGhowK233orc3FzcdNNN/TrWCy+8gOzs7OveIiMjuf29vb0xfPhw3HDDDdi+fTv27dt3Tff/zpKSkpCf3zG+x9/fH9XVXdP1qqur4e/vz21n7+tpn+44ODjAzc2ty83WURCADIRao8VXJwoxd/0xFBiyAB60wMgVf4kYIZ6O0OqAs8W2X5+n0epw2ZA+HNNDDbZYyMeThmyAfx3Nh0Ld/RfOgTqWywYBTNsPgOXsIMC0YfrnOnip50wsYn5NbUruinf0EM8EAPRp4B//NR4iAQ9HcmrwbWrJdffPNFzptuZSANa4UA/EBUugVGuxrZfXZSy21BTweu6eGIpN9yXCQcDDoewa3P+fVDS1dc2u/CalCI99kwa5SouZw32w47HJFs0OCZA4Ysdjk7F0WgQAYPMfV/Dkt+cAAMtmRJotO8EW8XkM92+aRgVap9OFDfjmVDEA4N07Ys3SrNqa9SsIoFKpMHfuXLS3t+Ott97C7t27sXv3brz11lsDSoH38fFBTEzMdW8ikajbx2q1+tQqhaLnk9SMjAwEBARwP0+ePBmHDx/uss/BgwcxefJkAEBERAT8/f277COVSpGamsrtM1R4c+UAFAQgfZNe0ohF/zyB1/93CS0KNcYGS7Dt0SSLXTWYGG4/JQHF9TLIVVqIhTyEeTn3uN/dE0Ph7yY2ZAMYb1JAjVSOnKoWMAy4E3NzYEcFHsyuMdtzkt6xWQBB7o5wMWOvD2s2wt8VLy2IAQC8tTcbV2p7vhLYMR7Q+oMADMPgYUM2wDenik0+hrRGKkdlsxw8BnYxf/7G0f74ZmkS3MQCpBU3YvGmFFQ2t0Or1eGdX7Px2k8XodUBd08IwRcPjreKf09CPg+v3TIKm+4bB1fDekYFuOF5Q4kD6RnbF4AmBFgfuUqDl3ZlAgCWTAzBlCjzfZexVv36tBEKhcjMzDTVWnqUmpqKM2fOYNq0afDw8EBBQQFee+01REVFcSfnX3/9NUQiERISEgAAu3fvxpYtW/DFF19wx3nuuecwc+ZMrF+/HjfffDO2b9+OtLQ0bN68GYD+l93y5cuxdu1aREdHIyIiAq+99hoCAwORnJxs9tdtSWxjQBoRSHrT1KbEe/svY/uZEuh0gJtYgJULYrBkYqhFxwdNjPDArnNlOG0HzQHZyQAj/Fyv+2cqFvLx5OworP7pIv51NB93jQ+Gg2Dwke4/8/VTAcYESszaqGtujL4vwPnSJlRL5VZdPz2UsE3tqBSgq4enhONITjVO5NdjxY4M/PDEFAivGusmlatwhet8726BVfbfzbGBeHtfDmpaFPg1q9KkzerOG0olon1dzdpM1pQmRnhi5+NT8MCWVOTVtOKOf53EmCAJDhgaSb44fwSenBVlljKr/lgwJgAjA9zwU0YFFhvpd4m9SzDUl1NzQOuz4XAeCutk8HNzwKq/jLT0cqxCv8sB7rvvPvznP/8xxVp65OTkhN27d2Pu3LkYMWIEli5diri4OBw7dgwODh1fSN98800kJiYiKSkJP/30E3bs2IGHH36Y2z5lyhRs27YNmzdvxtixY/HDDz9gz549GDOmo8nJypUr8cwzz2DZsmWYMGECWltbsX//fojFQ+vLJ5UDkN5otTp8n1aKOeuP4bvT+gDAHeOCceTvs3Cfoau0JbHNAc+XNvc48shW5FT2PBnganeND4G/mxiVzXJ8f8Y4vQGOG0YDmqsUgOXrJuaa9tCUAOuRV01NAbvD4zH4YPFYSByFOF/WjE8N49Q6yyrv6Hzv6dx9pqO1EQl4uC9J39x1i4kbBNpSqUR/jPB3xa4npiDSxxkVzXIcuFQNIZ/BR38di6dmm2YEoDGEeTnj2bnRCJA4WnopNiE+1B0AkFvTglaF2rKLIZys8mZs/uMKAGBtciz1tTDod5hVrVZjy5YtOHToEBITE+Hs3DU19cMPPzTa4lixsbE4cuTIdfd58MEH8eCDD/Z6rMWLF2Px4sU9bmcYBmvWrMGaNWv6vU57wpYD1FIQgHQju1KK1/ZkIc1Qbz/czwVvLhqDpEjrqRcM93KCt4sD6loVOF/aZFVr669sQyZATEDvJ11iIR9PzY7Caz9dxD+PFmDx+BCIhQO/gqPV6joFAUw7GrA7N4zyQ0ZpEw5eqsa9SeadMkG6xzUFHMLjAXsSIHHEW7eNwdPb0rHxaD5mjvBFYpgHt51tCmhrJ7n3JIXin0fzcb60CedKGjEu1KP3Bw0Am0Zti5MBehPs4YQfHp+CJ/57FgW1rfjk7gRMMWN5FTE9X1cxgtwdUd7UjszSJvr7tQIqjRYrf8iERqvDLXEBXJkhGUAmQFZWFsaNGwdXV1fk5uYiPT2du2VkZJhgicQS2EyAFrna5q+iEuNpVaix9pdLuOXTP5FW3AgnER+v3BSDvc9Ot7qTbIZhkBShnxJg630BuMkAfcgEAIC7JoQgQCJGlXTwkwKyq6Soa1XAScTHuDD3QR1rINhf2Cfz6yGjKytWgcYDXt8tcYG4LSEIWh3w/PcZXa4IXuCCAO4WWt3A+Lg64NaxgQCAL02UDaDT6bggia03BeyJp7MIOx6bjNRX5tEJop1iswHSqS+AVdj8xxVcqpTC3UmI1xeOtvRyrEq/MwGOHj1qinUQKyNxFELIZ6DS6FAvUyLInVLBhjKdTod9F6qw5peLqJbqs0P+MsYfr90yCoFW/N6YEO6BvRcqcbrIdjv1tshVKG1oB9DzZICrOQj4eHL2MLy2Jwv/PJqPuwaRDcBmAUyK9LJITWi0rwvCvJxQXN+GP3Jr8ZfYgN4fREymQaZEXau+V8wwygTo0RuLRuN0YQOK69vw5v8u4b074wAAmeVNAIA4G2x69/DUcOw6V4ZfL1Si6qaR8JcYt0yyuL4Nze0qiAQ8jOjjZ52tsnS5HDGdhBB37M2spL4AfbAnvRy/ZFZimK8LRge6YVSgG8K9nI327yO/phUbDunLsv7v1lHcBU6iZx9dV4jRMQwDL2cHVEnlqG9VUBBgCCusk2H1T1ncyWCYlxNeXzgas0f4WnhlvZtgyAQ4W9QAtUYLAb/fyU8WxzZh83cTw6MfNcR3jQ/GZ0fzUdEsx/bTJXhoasSAnv94nnlHA16NYRjcMNIPX/xZiIOXqikIYGHs+zHYw9FuGreZgptYiA/vGou7/30KO9JKMWekLyaEe3IBvdE2GAQYEyTBxAhPw5itIrw4P8aox2dHA44KcINIYHuf1YQAQIIhEyCjtBE6nc5q+z1Y2r4LlVjxfQZ0uq49fxyFfMQEuOqDAgESjAp0wwg/136P89NqdXhpVyaUGi1mjfBBsgkbmtqqAf0GT0tLw/fff4+SkhIolV27x+/evdsoCyOW5+0qQpVUTs0Bhyi5SoN//V6ATb8XQKnRQiTg4YmZUXhiVtSgaszNKcbfDa5iAVrkamRXtiDWxupwASC7Un/SNbIP/QA6Y7MBXt2ThX/9XoC7J4b2+++tXanBmUJ9FsWM4ebvB8C6YZQ+CHDkco3NBnPsBTUF7LukSC8smxGJz49dwcu7L+CVm/QdqSO9nW22MdUjU8NxurAB21JL8MycaKP+LjhfypYC2N7nNCGs0YESCPkM6lqVKGtsR4ink6WXZHVSCuqxfLs+APCXMf7wdBbhYoUUOVVStKs0SC9p6pJJwWOAKB8XjAp0w6gAN4wO1AcHrtdc9ZtTxThb3AhnER9v3RZLwZhu9DsIsH37djzwwAOYP38+Dhw4gBtvvBG5ubmorq7GbbfdZoo1EgvhJgTQmMAh5+jlGrz+80UU17cB0J8AvrFwNCK8e55Rb434PAbjwzxw9HItUgvrbTIIwPUDCOhbP4DO7hofgn8ZsgG+O12Ch/uZDZBaWA+lRosgd0dEWvDvPjHMA+5OQjS1qZBW3IhJVtZ/YijhmgLSeMA+ef6G4fgjtw7ZlVL848cLAGCTn0OsG0b5c43Pfsoox18nhBrt2OxkAHtsCkiGDrGQj1EBbjhf1oz00iYKAlzlUoUUy7amQanR4sZRfth4zzgu/V+j1aGwToZLlVJcrGjGpQopLlVIUS9TIq+mFXk1rfgpo4I7lr+bGKMC3QxZA/pyghAPJ1Q0t+O9/TkAgFV/iaFs5h70Owjw9ttv46OPPsJTTz0FV1dXbNiwAREREXjssccQEEBpmvaEDQLQhICho6KpHW/+cgm/ZlUB0H/Arr51FP4yxt9mo6gTI7xw9HItzhQ14G/TIy29nH5jMwH62g+gM5GAh6fmDMM/fszCZ78XYEk/swE6jwa05N+/gM/DnBhf7D5XjoOXqikIYEFsOcBwX8oE6AsHAR8b7o7HLZ/+CYVaC8D2mgJ2xucxeHBKGN7el4MvTxThrvEhRvlsUGu0yKqwzaaJhFwtPsQd58uakVHShIWGhpoEKG1ow4NfnkaLQo2J4Z74ZElCl/p/Po/BMF8XDPN14f7cdDodalsUuFghxaVKfVDgUqUUhXUyVEnlqJLKcSSnhjuGi4MATiI+2pQaTAj3oKlC19HvnMqCggLcfPPNAACRSASZTAaGYbBixQps3rzZ6AsklsNlAlAQwO6pNFps/qMA8z48hl+zqsDnMXh0egQOvTATN8UG2GwAAAAmRuhHWZ0p0tfn2RKtVofLVWw5QP8zAQBgcWIIgtwdUdOiwLbUkn499o9cth+A5UoBWDcapgQcvFRtc3+P9iSvRp8JQOUAfTfczxWrFnTUz9vaeMCr/XV8KByFfORUtSDlSr1Rjplb3Qq5SgtXB4FFs44IMYYEwwjN9FLbbUpsbPWtCjy45TRqWxQY4eeKfz8wvk8XJRiGga+bGLNjfPHU7GH4573jcPTvs5D1xnz88PhkrFk0GndPCEFskAQiAQ+tCjVqWhQQCXh494448KgJZ4/6nQng4eGBlhb9l9KgoCBkZWUhNjYWTU1NaGtrM/oCieV4u+hrbdhO0MQ+nStpxKpdmVya7/gwD6y9bUyfx9FZu9ggdzgIeGiQKVFQ24phNnQFs7ypHa0KNUR83oBLMUQCHp6aPQyv/HgBnx0rwD1JfcsGqGxuR15NK3gMMHWY5a+8T4/2gUjAQ0lDG/JqWukk1ALqWhVokCnBMDQZoL8emhKOvJoWVEsViLfxdHeJkxB3JAbhv6dK8OWJIkyJGnzTULYUIDZYQl/aic1j/41fLJdCodZYZLKONWlTqvHI12m4UidDoESMrx6ZAInT4PqiuDgIMD7cE+PDPbn7VBotrtTKkF0pRaSPM6J86PfU9fQ7E2DGjBk4ePAgAGDx4sV47rnn8Oijj2LJkiWYO3eu0RdILMfHle0JQJkA9urb1GL89fMU5Fa3wtNZhPfvjMP3j022mwAAoD8JZrv1ni60rah8dqW+H8AwXxcIB9EM787EYAS5O6K2RYFv+5gNwJYCxAW7w92p71MJTMXZQYCpUfpgxMFL1b3sTUyBLQUI8XDqd6fmoY7HY/DO7XHY8tCEQf1bthYPTdH3FzmUXY2S+sFfADpP/QCIHQnzcoKHkxBKjZYr6RuqVBotnvz2HM6XNsHdSYitSyciQGKaGn0hXz9eNDkhiMqK+qDfv4k2btyIu+++GwDwj3/8A88//zyqq6txxx134D//+Y/RF0gsh8oB7JdCrcHLuy/gHz9mQaXR4ebYABx5YSYWjw+xy6swEw2R4tOFxkldNZccQylATD8nA1xNJODh6TnDAACf/V6AdqWm18ewQYAZFhoN2J0bRvkDAA5QEMAicqvYyQB0dWWoG+brghnDfaDTAV+nFA36eDQZgNgThmG4bID0Etu6+GBMOp1+TN/vl2shFvKw5aEJNpWNae/6HQTw9PREYKC+WQOPx8OqVavw888/Y/369fDw8DD6AonleHHlABQEsCc1UjmWbD6F706XgGGAlxbEYOM9CVZxtddUJkboryCfKbKtX8bsZICRRsjMuDMxGMEejqhrVeDb1OLr7qvV6vBnnqEfgAVHA15t3khfAMD50iZUS+UWXs3Qk0v9AEgnD08NBwB8f6YUrQr1gI/TrtTgsiHLhDIBiL1g+wJklDZZdiEW9O7+HOw+Vw4+j8G/7h2HcaF0nmhN+h0EeOCBB/Dll1+ioKDAFOshVoTNBGhsU0Gl0Vp4NcQYzpU04pZP/8S5kia4iQX48qEJeGJWlE03/uuLhFB38HkMypvaUdZoO71LciqNkwkA6NPknjFkA2w6duW62QBZFc1obFPBxUFgVfXLvm5i7iThcHbN9XcmRpfHTgagIAABMDPaB5HezmhRqLHrbNmAj3OpshkarQ4+rg7wdxMbcYWEWA5bhth53v1Q8p8/C/H5sSsAgHduj8WcGD8Lr4hcrd9BAJFIhHfeeQfR0dEICQnBfffdhy+++AJ5eXmmWB+xIA8nEdjM8AYZNQe0dTvOlODuz0+hpkWB4X4u+PnpaZg1wtfSyzILZwcBxgTp00zPFDVYeDV9067UoLBeBgBG69Fw+7hghHj2ng3AlgJMjvKyuvrljikBVRZeydCi0+m45qHRVA5AoO9z8JAhG+Crk0XQagc2tSODKwVwt/uANBk62Jr0koY21A+xjNqfMsrx5i+XAAAvzh+Bu8aHWHhFpDv9/nb3xRdfIDc3F6WlpVi3bh1cXFywfv16xMTEIDg42BRrJBbC5zHwdKa+ALZOqdbitT1ZeGnXBSg1WiwY7Y/dT05F+BAbwzQxXJ+GdrrQNoIAudUt0On0UzrYJp2DJeTz8MzsaADApmMFaFN2n8LLjga0pn4ArBsMQYATBfWQDSIFmfRPbYsCze0q8BhQx2XCuWNcMFzFAhTWyXDM8LnRX+xkAOoHQOyJxFHITVEZSiUBx/Nq8fed5wHop6I8OSvKwisiPRnwJR4PDw94eXnBw8MD7u7uEAgE8PGxntpRYhw0JtC21bYocN8XqfjmVDEYBvj7jcPxr3vHwcWh39NBbd4ErjmgbQQB2H4Axp7UcNu4IIR6OqGuVYn/nro2G6BVocY5QyOjGVbUD4AV7euCMC8nKNVaLlhBTI/NAgjzcu7TiEkyNDg7CPBXw1W+LScKB3SM84YTJOoHQOxNR3PAJouuw1wulDXj8W/O6htOxwVg9S2jKLvHivU7CPDKK69gypQp8PLywqpVqyCXy7Fq1SpUVVUhPT3dFGskFkRjAm3X+dImLNz4J04XNcDVQYD/PDgeT8+Jtsvu/33BBgEKamU2kdnCjhWK8Tdu/bWQ3zEp4PNjV67JBki9Ug+VRodQTyeEeVlftgjDMJg3Up8N8P5vl3HwUjV0uoGlIZO+Y8cDRvtSFgDp6sEp4eAx+jKi/Jr+jUNralOiyDBiMI4yAYidYfsCDIVMgOJ6GR7+6jRkSg2mRHnhw7vGDtnvm7ai30GAd999FwUFBfi///s/bN++HR999BEWLVpEkwHslLWMCSxvasfzOzJwpbbVouuwFT+cLcPiz1NQ2SxHlI8z9jw9dcg3ZfFwFnGjzdJsoC8AlwkQYNxMAAC4LUGfDVAvU+KblK7ZAGw/gOlWWArAujcpFBJHIa7UyfDo1jQk//MEjuXWUjDAhPJqqCkg6V6IpxMXmPvyRFG/HptZpu8HEO7lZNcTasjQlBCiPzc6X9o04J4ZtqC2RYH7/3Mada1KjApww+f3J8JBQBlj1q7fQYD09HT84x//wOnTpzF16lQEBQXhnnvuwebNm5Gbm2uKNRIL8raSMYFf/lmI3enl2HCYGlBej0qjxes/X8Tfd56HUq3FvJF+2PPUVKrhNZgYwZYEWPeoQJ1Oh5wq02QCAF0nBXz+R9dsADbFfnq09ZUCsCJ9XHDsxVl4clYUHIV8nC9rxoNbTmPxphSkFNRbenl2iZoCkut5eGoEAGD3uXI0t6n6/Di2HwDbRI0QezLczwWOQj5aFGoU2OlFrFaFGg9/dRolDW0I8XTEV49MgKtYaOllkT7odxBg7NixePbZZ7F7927U1tZi3759EIlEeOqppzBy5EhTrJFYUEcmgGV7AuQbPjzPFlv3yZsl1bcqcP9/UvHVySIAwHNzo7H5/kT6MO6E6wtQZN0nitVSBZraVODzGK6xkLHdlhCEMC8nNMiU2GrIBihtaMOVOhn4PAZThnmZ5HmNxd1JhJULYnD8pdn427QIOAh4SCtuxJJ/n8I9/z6Fs8XWn+1hK/STASgTgPRsUqQnYvxd0a7SYPuZkj4/jp0MQKUAxB4J+DzuvW2PfQGUai0e/+Ysssql8HIWYesjSfB1pTGftqLfQQCdTodz587hww8/xMKFCzF79mz897//RWxsLJ599llTrJFYkLWUA7AR1LLGdlRL5RZdizXKKm/Gwo0ncOpKA5xFfHx+fyJW3DCc6rGuwmYCXKqQokXe96tV5pZtKAWI9DZdEzYBn4dn5ugnBWz+4wpkCjX+zNeXAiSEuMPNRoJH3i4OePWWUfhj5Ww8MDkMQj6DkwX1uOOzFDz05WlcMKQbk4GrlirQIleDz2MQ6WN9fSKI5TEMg0cM2QBbU4qh1mj79Dg2EyCemgISOxVv6AuQbmd9AbRaHf6+8zz+zK+Dk4iPLx+egIghNnXK1vU7CODp6YmkpCRs27YN0dHR+Prrr1FXV4dz587ho48+MsUaiQV5GxoD1lqwMaBcpUFZYzv3M2UDdLUnvRx3fHYS5U3tiPB2xp6npmL+aH9LL8sqBUgcEeLpCK3Out9HOYamgCNN0A+gs+T4QIR3ygY4nmf9pQA98XMTY82iMTj691m4e0II+DwGv1+uxa0b/8SyrWnIrpRaeok2i80CCPNyojpP0qOF8YHwdBahvKkdBy9V97p/VbMcNS0K8HkMRgdSJgCxT2xfgPQS6/3O0V86nQ5r92bj5/MVEPAYbLovkUp6bFC/gwD//e9/UV9fj7S0NKxfvx633nor3N3dTbA0Yg28nC0/IvBKrQyd+31Z88mbOak1Wry19xKW78iAQq3F7BE+2PPUVERTuu51sSUBZ6y4OWBHU0DT/l12zQYowJ9sU8Dh1tsUsDfBHk549444HH5+Jm5PCAKPAQ5cqsZfNhzHU9vO9bt7OekIAgz3pc8W0jOxkI97JoYC6FuDQLZj+nA/VziKKLhE7BM7ISC3ugUyhfr6O9uIz/+4wo0E/WDxWKscJ0x61+8gwM033ww3Nzfk5+fjt99+Q3u7/gotdWW2T+yIwAaZAhoLdTa9upkKBQGARpkSD355Gv8+rv8Qfnr2MHzx4ARIHG0jhduSkgwlAWesuDkge9V6pL9pMwEAYFF8ICK8ndHYpoJUroabWIC4INu/Khfu7YwP/xqPAytm4Oa4AADA3sxK3PjRH3h+RwaK62UWXqHtyDM0BRxOTQFJL+6fHAYBj8HpogZklV+/FIctBRhL/QCIHfNzEyNQIoZW1zENw5btOluGd3/NAQD846aRSE4IsvCKyED1OwhQX1+PuXPnYvjw4bjppptQWVkJAFi6dCleeOEFoy+QWJanIRNAqwMa2yyTDcAGAaZE6RuVXaxohlylscharMGlCilu3fgnTuTXw0nEx2f3jsPf548An+r/+4TNBMgobbLK95FCrUFBrf4E1dSZAACbDTCM+3nqMG8I+P3+1WC1hvm64p/3jMOvz03HDaP8oNUBu9PLMWf9MazalYnypvbeDzLE5RqyJyjLiPTGz02Mm2L1QbfesgHOs0EA6gdA7FxCqKEkoNR6Lz70xdHLNVi5KxMA8Oj0CDw6I9LCKyKD0e9veitWrIBQKERJSQmcnJy4+//6179i//79Rl0csTwhnwcPJ/3V5XoLlQSwJ0QzhvvA19UBKo3OLqKpA/FLZgXu+OwkyhrbEerphB+fnIq/GL5wkb6J8HaGt4sDlBqtVb6P8mtaodHqIHEUwt/NPF12F44NRKShoc+sEfaZ1jcywA3/fmA8fn56KmaN8IFGq8P2M6WY/f7vWP1TFjUc7YFOp0M+lwlAQQDSu4enhgMA/ne+osd+Qlptx+9xmgxA7B3b+DLDhicEpJc04sn/noNGq0NyfCBe/gtNhLN1/Q4CHDhwAO+99x6Cg4O73B8dHY3i4mKjLawnCoUC8fHxYBgGGRkZXbZlZmZi+vTpEIvFCAkJwbp16655/M6dOxETEwOxWIzY2Fjs27evy3adTofVq1cjICAAjo6OmDdvHvLyhvZsektPCCio0X8BHebjgvHh+mjqUCsJaG5X4eXdmXh6WzraVRpMj/bGz09PxQgTzJC3dwzDYGKE/n10utD6RgWyTQFj/F3BMObJ7hDwefjiwfF47ZZRuGNccO8PsGFxwe746uGJ2PXEZEyJ8oJSo8XWlGLMWHcUa3+5ZPFJKNamslmOFoUaAh5DnZ9JnySEeiA+xB1KjRbbUrsfF1hYL0OLXA2xkEfBJWL3EjpNCLCV8mmdTofiehn2Zlbivf05eOSrM9z3z3V3jqXpU3ZA0N8HyGSyLhkArIaGBjg4OBhlUdezcuVKBAYG4vz5813ul0qluPHGGzFv3jxs2rQJFy5cwCOPPAJ3d3csW7YMAHDy5EksWbIE77zzDm655RZs27YNycnJOHfuHMaMGQMAWLduHT755BN8/fXXiIiIwGuvvYb58+fj0qVLEIuH5uxLbxcH5NW0WuTLsVarw5U6fRAgytcF40I9sO9ClWEGeJTZ12MJv12swmt7slBjuKLy2MxIrJwfQ+n/gzAh3BP7LlThdJH1BZPYpoCmngxwtUgfF0T6DJ2a78QwT2x7dBJOFtThwwO5SCtuxBd/FmJrSjGi/Vww3M8V0X4uGOHniuF+rghydxySX3rYpoDh3s4QCeynTISY1sNTw/Hc9gz8N7UYT8yKuua9w/YDGB0ogdCOyo8I6c6YIAkEPAa1LQpUNMsR5O5o6SV1odHqcKW2FVkVzcgql+JiRTMuVkjRIu/ayDAuWIJN9yXS7wI70e8gwPTp07F161a8+eabAPRX1bRaLdatW4fZs2cbfYGd/frrrzhw4AB27dqFX3/9tcu2b7/9FkqlElu2bIFIJMLo0aORkZGBDz/8kAsCbNiwAQsWLMCLL74IAHjzzTdx8OBBbNy4EZs2bYJOp8PHH3+MV199FYsWLQIAbN26FX5+ftizZw/uvvvubtelUCigUHScIEul9jWKypJjAsub2iFXaSHkMwjxcERiWEcmgE6nM9uVUkuoaZHj9Z8vYt+FKgD6NPZ3b49FUqSXhVdm+yYamgOeLWqAWqO1qhr4nKqOTABielOivDH5cS/8kVeH9QcuI7NM/+XnYkXXz3EnER/RvvrgABcg8HeFv5vYrj+HqCkgGYibYgPw9r5sVEsV2HuhArcldM0wOl+qLwUYS2PFyBAgFvIxMsANF8qbkV7SaNEggFKtRV5NCy6WSw0n/c3IrmxBezc9kkR8HmICXDE6UILYIAkWxQfC2aHfp47ESvX7b3LdunWYO3cu0tLSoFQqsXLlSly8eBENDQ04ceKEKdYIAKiursajjz6KPXv2dJuJkJKSghkzZkAkEnH3zZ8/H++99x4aGxvh4eGBlJQUPP/8810eN3/+fOzZswcAUFhYiKqqKsybN4/bLpFIkJSUhJSUlB6DAO+88w7eeOMNI7xK6+TtYrkxgWxTwHAvZwj4PIwOlMBBwENjmwqFdTK7vHKp0+nww9kyrN2bjeZ2Ffg8BstmROK5udEQC2mMkjHE+LvB1UGAFoUa2ZUtiLWimtRsthzAzJkAQxnDMJg53Aczor1RXN+G3OoWw60VudUtuFIrQ5tSg/NlzTh/VR8JV7HAEBhwQbSvK0b46wMEPi4OdhEcuGzIBIim8YCkH4R8Hu6fFIYPDuRiy59FSI4P6vLvoaMpoPV89hJiSvEh7oYgQBNuiQs0y3PKVRpkV0qRVSHFxfJmZFU0I7eqFUqN9pp9nUR8jApww5ggCUYHumF0oATRfi6UqWPH+h0EGDNmDHJzc7Fx40a4urqitbUVt99+O5566ikEBJimQZlOp8NDDz2Exx9/HOPHj0dRUdE1+1RVVSEiIqLLfX5+ftw2Dw8PVFVVcfd13qeqqorbr/PjutunOy+//HKX4IJUKkVISEjfX6CVs2RPALYp4DBf/cm+SMDD2GB3nC5qQFpxo90FAUob2vDKjxdw3DCvfXSgG967Iw5j7GBkmzXh8xiMD/fA0cu1OF3UYDVBgNoWBepaFWAYuvJqCQzDINzbGeHezrhxtD93v1qjRVGn4EBedSsuV7egsE5f13y2uPGaPiUeTkJEG4IDI/xcMWuEL0I8rw1gW7s8QxCA+o+Q/loyMRSfHMnHhfJmnC1uxHjDZBalWstl2lAmABkqEkLd8c2pYmSUNpnsObRaHfZklOPPvDpcrJAiv7a12/HebmIBd7Kv/68EEd7OVGY6xPQrCKBSqbBgwQJs2rQJ//jHPwb95KtWrcJ777133X2ys7Nx4MABtLS04OWXXx70c5qCg4ODWfohWIqPRYMAhn4AnU72x4V54HRRA84VN+Ku8fYRbNFodfjyRCHWH8hFu0oDBwEPy+cNx6PTI6wqVd2eTIjw1AcBCuuxdFpE7w8wg8uGUoBwL2c4iSjlzloI+DwM83XBMF8XbvwZoB/nWFgnQ251K/KqW3C5qgV5Na0orpehsU2F04UNOF3YAABwFObgf89M4wKatkCr1SGvhsoByMB4uTggOT4Q36eV4csTRVwQILe6BUq1FhJHIcK8bC8wRshAsGMCL5Q3Q6nWGr2uvqpZjr/vPI8/8+u63O/tIsLoQAnGBLlhTKAEY4IkCPZwtItMNTI4/fqWKRQKkZmZabQnf+GFF/DQQw9dd5/IyEgcOXIEKSkp15xojx8/Hvfeey++/vpr+Pv7o7q6ust29md/f3/uv93t03k7e1/nrIbq6mrEx8f3+/XZCy+uHMACQYAatilgR1fqzn0B7MHlqha8tCuTiw4nRXji3TviqBO3iSUZ+gKcKbKe/hJsU0DqB2AbHAR8xPi7Ica/a+mGXKVBfk0r8mpacLmqFUdyqpFb3YqVP5zHzsen2MzVlvKmdrQpNRDyGYR50ecR6b+Hp0bg+7Qy7L9YhYqmdgS6O3K/6+KCJVbxuUuIOYR7OcHdSYimNhVyqqSIM2IWzN7MSrzy4wU0t6sgFvLwyNQIJIZ5YEyQBL6u9lGaRoyv32Go++67D//5z3+M8uQ+Pj6IiYm57k0kEuGTTz7B+fPnkZGRgYyMDG6s344dO/DWW28BACZPnow//vgDKpWKO/7BgwcxYsQIeHh4cPscPny4yxoOHjyIyZMnAwAiIiLg7+/fZR+pVIrU1FRun6GIKwdosURPAH05QOdMADYIkFfTiuY2VbePswUKtQYfHszFLZ8eR0ZpE1wdBHj7tlh89+gkCgCYQWyQOxwEPDTIlFzGiaVx/QD8qR+ALRML+RgTJMFtCcFY9ZcYfPnwRLg4CHCupAlfnSyy9PL6LK9G/36M9Ka6UDIwIwPcMCnSExqtDltT9GOk2ckAVApAhhKGYRAf4g4ASC9pMsoxW+QqPP99Bp7adg7N7SrEBkmw99npWLkgBnNH+sHPzhvXksHpd76pWq3Gli1bcOjQISQmJsLZuevJyocffmi0xbFCQ0O7/Ozioj8hjIqKQnCwvuPsPffcgzfeeANLly7FSy+9hKysLGzYsAEfffQR97jnnnsOM2fOxPr163HzzTdj+/btSEtLw+bNmwHo/4EuX74ca9euRXR0NDciMDAwEMnJyUZ/XbaCnQ5QL1OY9Yppc5uKyz7oXPvv6SxCpLczrtTJcK6kEbNjfM2yHmM6W9yIVbsyuVTbeSP9sDZ5DPwlQ3MMpSWIBDzEh7gjtbABpwsbMcwKGp9xmQABll8LMZ4gd0e8fFMM/vFjFt7/LQdzY3wRbgOBvlzDZIBoKgUgg/Dw1AicutKA706X4Lm50cg0NNeMs5JeLISYS3yIO36/XIuM0iY8OMhjnS5swPPfZ6CssR08Bnhy1jA8Ny+aArakz/odBMjKysK4ceMAALm5uV22WTLaJJFIcODAATz11FNITEyEt7c3Vq9ezY0HBIApU6Zg27ZtePXVV/HKK68gOjoae/bswZgxY7h9Vq5cCZlMhmXLlqGpqQnTpk3D/v37IRYP3ZMzL2d9OYBKo4O0XQ2Jk9Asz5tvuDrr7yaGy1UjScaFeeBKnQxni20rCCBTqPH+b5fxdUoRdDp9rdbrC0fj5tgAitZaQFKEpyEIUI97kkJ7f4AJqTVabhzbSMoEsDv3TAzF3sxKnCyox0u7MvHdo5PAs/KygFxDU8DhfhSUIgM3b6QfQjwdUdrQjm9Ti7n3FXtVlJChgu0LkF4y8HJWpVqLjw/l4rNjBdDpgBBPR3x0VzzXc4OQvup3EODo0aOmWEe/hIeHQ6e7tttlXFwcjh8/ft3HLl68GIsXL+5xO8MwWLNmDdasWTPoddoLsZAPV7EALXI1alsVZgsCcE0Bfa+9YpYY5oEfzpbZVF+AY7m1eGX3BZQ3tQMAbh8XhNduHgUPZ1EvjySmMqFTXwBLK6yTQanRwlnER7CH5WYIE9NgGAbv3h6H+R//gdTCBnybWoz7J4dbelnXxQalqCkgGQw+j8GDk8Oxdm82PjyYC61OH9z3dRu6F1fI0BRvKIEpqm9Dg0wJz35+/8uvacXyHenIKtdnDS5ODMbqW0fBVWye7+XEvlDOCOkTS0wIYIMAw7oZAzje0Bcgo7QJqm7mnVqTRpkSz3+fgQe3nEZ5UzuC3B3x9SMT8eFd8RQAsLBxoR7g8xiUN7WjrLHNomvJruoYxWbtV4jJwIR6OeGlBSMAAO/8moPSBsu+565Hq9Uhv4YtB6BMADI4i8eHwEnER5tSAwAYG0KlAGTokTgJEemjv7B1vh+jAnU6HbamFOGWT48jq1wKdychPrt3HN5fPJYCAGTAKAhA+sTbEkGAGkNTwG5GakX5uMBNLEC7SoMcQzM1a6PT6fC/8xW44aNj2H2uHAwDPDw1HAdWzMDM4T6WXh4B4OwgwJhAfer9maIGi64lp5LtB0ClAPbsgcnhmBDugTalBq/8eKHbrDZrUNbYjnaVBiI+D2GeNMaNDI7EUYg7E4O5n43ZGZ0QW5IQ0r+SgJoWOR7+6gxW/3QRcpUW06O98dvyGfhLp3G1hAwEBQFIn3i7GsYEtpgvCHCFLQfoJhOAx2MwjhsVaNmTt+5UNrfj0a1peOa7dNS1KhHt64IfHp+C/7t1NJwdaP67NZlgqKM7XWjZkoBsQxBgJAUB7BqPx2DdnWPhIODheF4dvk8rtfSSusXWbUf6OENAjaaIETw4JZz7f+oHQIaq+FB3AEB6HzIBfrtYhQUfH8fvl2shEvDwf7eOwtcPT4QfldIQI6Df7KRPOjIBzDMmUKnWotiQKttdEADoKAlIs7K+AM1tKtz66Qkcyq6BkM/gubnR+OXZadxoQ2JdJkawQYB6i64jx1AOMNKfUq/tXYS3M/5+o74sYO0v2ahsbrfwiq6VW0NNAYlxRfm4YPm8aNwcF8AFXwkZahIMAbCM0iZotd1ngskUaqzalYnHvjmLBpkSowLc8Msz0/Dw1AgqFyRGQ5ckSZ+YuxygpEEGjVYHZxEffm4O3e7DZgKcs7IgwKHsatS1KhDk7ogtD03ACDqps2rsl9GCWhnqWhXce92cmtqUqGyWAwCG0/tlSHhkWgT2XqhERmkTXtl9AVsemmBVE0KoKSAxheXzhlt6CYRYVIy/K8RCHlrkalypk2HYVSWv50oasWJHBorr28AwwLIZkXj+huFwEPAttGJir/oUBPj555/7fMCFCxcOeDHEepk7CMA2pIrydenxi3F8iDv4PAYVzXJUNLUj0N06OqofyakBoO/+TwEA6+fhLMJwPxfkVrfiRH4dFsUHmX0NbBZAsIcj3KjJz5DA5zF4/8443PzJnzh6uRY/ppfj9nHBvT/QTNhyAGoKSAghxiPg8xAX5I7TRQ1IL2nkggAqjRYbj+Rj49F8aLQ6BLk7Yv1dYzEp0svCKyb2qk9BgOTk5D4djGEYaDSawayHWCkvF31PgFozlQMU1BqaAvZQCgAATiIBRgW44UJ5M86VNFpFEECp1uJYbi0AYO5IPwuvhvTVDaP8kFvdip8zKiwTBGCbAvpTP4ChJNrPFc/Ni8b7v13GG/+7hGnR3vB1tXytp6bTZAAqByCEEOOKD9UHATJKm7B4fAgK62RYsSMDGYY+AcnxgXhj0RhIHOmiADGdPvUE0Gq1fbpRAMB+cZkAZmoMWGD4Anp1mtTV2Dr7NCuY8w7oO8y3KtTwdnFAXBCNQLIVtyXoT/yP5dai3owTMFhcP4AAOuEaapbNiMSYIDc0t6vw2p4sq5gWUNrQBoVaCwcBD6E0GYAQQoyK7QtwrqQJ350uwU0bjiOjtAmuYgE23B2Pj+9OoAAAMTlqDEj6xKdTOYA5vqQWcJMBnK+7H9cXoI+jVkztUHY1AGBOjA81b7Ehw3xdERskgVqrw94LlWZ//mxDEIAyAYYeIZ+HdXeMhYDH4LeL1RZ5/12NLQWI8nEBnz7HCCHEqBJC9d9dsyuleHn3BbSrNJgc6YXfls+wSDYiGZoG1BhQJpPh2LFjKCkpgVLZNT382WefNcrCiHVhRwQq1FrIlBq4mHDMnU6n61M5ANCRCXCxQoo2pRpOIsv1utTpdDicre8HMCeGSgFsTXJCEC6UN+PH9HI8MDncbM+r0eqQywYBKBNgSBoV6IanZg/DhsN5WP3TRUyO9IKXBRpUsvJqqCkgIYSYir9EDH83Maqkcoj4PLw4fwSWTqPO/8S8+n3GlJ6ejptuugltbW2QyWTw9PREXV0dnJyc4OvrS0EAO+UkEsBJxEebUoO6FoVJgwA1LQq0KtTg8xiEel0/FTXI3REBEjEqm+U4X9qMyVGWa6BSUNuKkoY2iPg8TI/2ttg6yMDcOjYAb+29hPSSJhTVyRDuff0sFGMpaWhDu0oDBwEP4V7meU5ifZ6aPQy/XaxCTlUL/u/ni9h4zziLreVyFTUFJIQQU3r+huHYf7EKf79xBEYFUhYgMb9+lwOsWLECt956KxobG+Ho6IhTp06huLgYiYmJ+OCDD0yxRmIlzDUhgO0HEOrp1KeRKNZSEsBmAUyK8oKzCYMkxDR8XcWYFu0DANiTUW6252WbAo7wd6XU6yFMJODh/TvHgs9j8EtmJfZnVVlsLWw5ADUFJIQQ07hrQgi2PDSBAgDEYvodBMjIyMALL7wAHo8HPp8PhUKBkJAQrFu3Dq+88oop1kishLdhQoCpgwD5fewHwEo01FadLbaOIMC8kb4WXQcZuNsSAgEAP6aXm61BW0c/ADrhGupigyVYNiMSAPDqniw0tZlnGktnao0WVwzlWCMoCEAIIYTYpX4HAYRCIXg8/cN8fX1RUlICAJBIJCgtLTXu6ohVYTMBTD0mkM0EiOplMgBrfHhHJoBWa5nO2k1tSqQVNwAA5sRQEMBWzR/tDycRH8X1bUg3jOoxNRoPSDp7bm40onycUdeqwJpfLpn9+Ysb2qDUaOEo5CPYw/JjVwkhhBBifP0OAiQkJODMmTMAgJkzZ2L16tX49ttvsXz5cowZM8boCyTWw9vVPGMC+9oUkDUywA1iIQ9NbSpcqWs15dJ69PvlWmh1+qu5wR40UstWOYkEmD/aHwCwJ908JQE51BSQdCIW8rHuzrFgGGD3uXIcyak26/PnGUoBhvm6UJMqQgghxE71Owjw9ttvIyAgAADw1ltvwcPDA0888QRqa2vx+eefG32BxHqYrScAVw7QtyCAkM/D2GB3AJYrCTicw04FoCwAW5ecoB/P87/zFVBptCZ9rlaFGiUNbQAoE4B0SAzzwNKpEQCAV3ZnQSpXme25L1fpP3+jaTIAIYQQYrf6HQQYP348Zs+eDUBfDrB//35IpVKcPXsW8fHxxl4fsSLm6AnQqlCjslkOoO89AYCOUYGWCAKoNFr8flkfBJg7kkYD2rqpUV7wdnFAY5sKf+TWmvS52C7sfm4O8HQWmfS5iG154cYRCPdyQpVUjrf3Zpv8+cqb2vHy7kx8eiQPADCSglKEEEKI3ep3EGDOnDloamq65n6pVIo5c+YYY03ESnVkApiuJ0ChoRTA20UEd6e+nxSxfQHSLBAESCtqRItcDU9nEeJD3M3+/MS4BHweFo7taBBoSjlV1A+AdM9RxMd7d8QBALafKcXxPNMEpKqa5XhtTxZmvX8U350uhVqrw8zhPrgnKdQkz0cIIYQQy+t3EOD333+HUnntSaBcLsfx48eNsihincxRDsCWAkT2sRSAlRCiDwJcqZWhQWbejtqHs/U1u7NH+NKINztxm6Ek4OClapOmYmezTQGpHwDpRlKkFx6cHAYAWLXrAloVaqMdu6ZFjjf+dxEz3j+Kb04VQ6XRYUqUF3Y+PhlfPzKRxpwSQgghdqzPv+UzMzO5/7906RKqqjpmGGs0Guzfvx9BQUHGXR2xKlw5gAkbA+bX9K8fAMvDWYQoH2cU1MqQXtJo1rT8IzlsKQD1A7AXY4LcMMzXBfk1rdifVYW7xoeY5HlyKvXlAKMCKBOAdG/lghgczqlBWWM71u3PwZpFg2vAW9+qwOd/XMHWlCLIVfqeFxPCPfD8DSMwOcrLGEsmhBBCiJXrcxAgPj4eDMOAYZhu0/4dHR3x6aefGnVxxLqw0wFkSg3alRo4ivhGfw42E2BYH8cDdjY+zBMFtTKkFZsvCHClthVX6mQQ8hlMj/Y2y3MS02MYBrclBOH93y5jT3q5SYIAOp2uYzIAlQOQHjg7CPDeHXG494tUbE0pxk2xAZgU2f+T9UaZEv8+fgVfnSxCm1IDAIgPcccLNw7HtGHeYBjKYiKEEEKGij4HAQoLC6HT6RAZGYnTp0/Dx8eH2yYSieDr6ws+3/gnhcR6uDoIIBLwoFRrUdeqQIin8UfhdUwG6HtTQFZimAd2pJWatTkgmwWQFOEFV7HQbM9LTG/h2EC8/9tlpFypR2VzOwIkxp2ZXtbYjlaFGkI+g8gBvN/J0DF1mDeWTAzBd6dL8dKuTOx/bkafg7DN7Sr8589CbPmzkCsniA2S4PkbhmPWCB86+SeEEEKGoD4HAcLC9HWJWq1pR2YR68UwDHxcHFDe1G6SIIBao0VRnX5cWn/LAQBgnGFCwPnSJqg0Wgj5/W550W+HDP0AqBTA/oR4OmFiuCdOFzXg54wKPDYzyqjHZ7MAhvm6muW9SmzbyzeNxO+Xa1Fc34YPDlzGa7eMuu7+LXIVvjpRhH8fvwKpXH/yH+PviudvGI4bRvnRyT8hhBAyhA3om2dBQQGeeeYZzJs3D/PmzcOzzz6LgoICY6+NWKGOMYHGb75X1tgOpUYLBwEPQe79v+oa6e0MdychFGotLlVIjb6+qzW3q3CmSJ91MDeGRgPao2RDg0BTTAnIMTQFHOlPTQFJ79zEQrx9eywAYMuJwh4znmQKNT77vQDT1x3F+oO5kMrViPZ1wb/uHYd9z07HjaP9KQBACCGEDHH9DgL89ttvGDVqFE6fPo24uDjExcUhNTUVo0ePxsGDB02xRmJFTDkhoPNkAN4AuuzzeAwSQ803KvBYbi00Wh2ifV0Q6mX80ghieTfHBkDE5yGnqoXr5G8sXD8AmgxA+mj2CF/cMS4YOh2w8ofzkKs03LZ2pQZfHL+CGeuO4r39OWhqUyHS2xkb7o7H/uUzcFNswIA+VwkhhBBif/odBFi1ahVWrFiB1NRUfPjhh/jwww+RmpqK5cuX46WXXjLFGrtQKBRck8KMjAzu/qKiIq5xYefbqVOnujx+586diImJgVgsRmxsLPbt29dlu06nw+rVqxEQEABHR0fMmzcPeXl5Jn9dtoILAphgQsBg+gGw2JKAc2YIAhwxlALMoVIAuyVxEmJOjP7vd4+RswGyqwzjAakpIOmH124ZCR9XBxTUyrDhcB7kKg2+OlGIGe8fxdq92aiXKRHq6YT1i8fiwIoZWBQfRKNLCSGEENJFv4MA2dnZWLp06TX3P/LII7h06ZJRFnU9K1euRGBgYI/bDx06hMrKSu6WmJjIbTt58iSWLFmCpUuXIj09HcnJyUhOTkZWVha3z7p16/DJJ59g06ZNSE1NhbOzM+bPnw+5XG7S12UrvF3ZcgDjBwEGOh6ws8QwNhOgATqdzijr6o5ao8XRy7UAgHlmHEdIzI8tCfgpowIarXHeU+1KDYrqZAAoE4D0j7uTCG8l68cEfn6sALPe/x2v/+8SalsUCHJ3xHt3xOLwCzNxR2IwBNRrghBCCCHd6Pc3BB8fny5X4FkZGRnw9TXtFdFff/0VBw4cwAcffNDjPl5eXvD39+duQmFHx/YNGzZgwYIFePHFFzFy5Ei8+eabGDduHDZu3AhAnwXw8ccf49VXX8WiRYsQFxeHrVu3oqKiAnv27OnxORUKBaRSaZebvfJyZssBjN8ToKBWf1I0kPGArLHB7hDwGFRLFShvajfW0q5xrqQJze0quDsJkRDibrLnIZY3O8YHbmIBqqRypF6pN8ox82paoNUBXs4i+BiyawjpqxtH++PWsYHQ6oAqqRz+bmKsTR6Do3+fhb9OCKVGk4QQQgi5rj5/U1izZg3a2trw6KOPYtmyZXjvvfdw/PhxHD9+HO+++y4ee+wxPProoyZbaHV1NR599FF88803cHLquf564cKF8PX1xbRp0/Dzzz932ZaSkoJ58+Z1uW/+/PlISUkBoB+DWFVV1WUfiUSCpKQkbp/uvPPOO5BIJNwtJMT4M8Wthber/oSl1siZADqdziiZAI4iPkYH6tOrTTkq8LChFGD2CF+62mbnHAR83Bynzz4yVoPAnMqOfgDUpI0MxNpFY3D/pDC8sXA0fn9xFu6bFAaRgD6LCCGEENK7Pn9jeOONN9Da2orXXnsNq1evxqeffoqZM2di5syZ2LhxI15//XW8+uqrJlmkTqfDQw89hMcffxzjx4/vdh8XFxesX78eO3fuxN69ezFt2jQkJyd3CQRUVVXBz69r6rafnx+qqqq47ex9Pe3TnZdffhnNzc3crbS0dECv0xZ0TAcwbhCgQaZEc7sKDANEeA9uZro5+gIczqkBAK5enNi328fpSwJ+zarq0oxtoKgfABksiZMQbyaPwYNTwiEW8i29HEIIIYTYEEFfd2TrqxmGwYoVK7BixQq0tOivZrm6DqymddWqVXjvvfeuu092djYOHDiAlpYWvPzyyz3u5+3tjeeff577ecKECaioqMD777+PhQsXDmh9feXg4AAHh6GR0sumLtcbuRyALQUIcneEo2hwX2jHh3niyxNFJpsQUFwvQ35NKwQ8BjOG+5jkOYh1SQz1QLCHI8oa23HwUjVuHdtzX5K+4DIBaDwgIYQQQggxs37lDl6dturq6jrgAAAAvPDCC8jOzr7uLTIyEkeOHEFKSgocHBwgEAgwbNgwAMD48ePx4IMP9nj8pKQk5Ofncz/7+/ujurq6yz7V1dXw9/fntrP39bTPUMdOB2huV0Gp1hrtuB2TAQZeCsAaF+YOAMiulEKmUA/6eFc7nK3PApgQ7gmJo7CXvYk94PEYJMfrswEGOyVAp9Mhx5AJMDKAMgEIIYQQQoh59TkTAACGDx/ea/1qQ0NDn4/n4+MDH5/er6R+8sknWLt2LfdzRUUF5s+fjx07diApKanHx2VkZCAgIID7efLkyTh8+DCWL1/O3Xfw4EFMnjwZABAREQF/f38cPnwY8fHxAACpVIrU1FQ88cQTfX5d9kziKISAx0Ct1aFepkCAxNEoxy0wQj8AVoDEEUHujihvasf50iZMGeY96GN2dsRQCjCXRgMOKckJgdh4NB/HcmtR36qA1wAb+tW0KNDYpgKPGVwTTEIIIYQQQgaiX0GAN954AxKJxFRr6VFoaGiXn11c9F+co6KiEBwcDAD4+uuvIRKJkJCQAADYvXs3tmzZgi+++IJ73HPPPYeZM2di/fr1uPnmm7F9+3akpaVh8+bNAPSZDsuXL8fatWsRHR2NiIgIvPbaawgMDERycrIZXqn14/EYeLmIUC1VoK5FabQgQD6bCeA7uH4ArHFhHihvasfZ4kajBgFa5CqkFuo7xM+l0YBDyjBfV8QGSXChvBl7L1TigcnhAzpOdqU+CyDSx4VquQkhhBBCiNn1Kwhw9913m3wM4GC8+eabKC4uhkAgQExMDHbs2IE777yT2z5lyhRs27YNr776Kl555RVER0djz549GDNmDLfPypUrIZPJsGzZMjQ1NWHatGnYv38/xGKxJV6SVfJ2cdAHAYzYHJAtBxhmhEwAABgf5oH/na8wel+A43l1UGl0iPRxHnQDQ2J7khOCcKG8GT+mlw8iCED9AAghhBBCiOX0OQhgTWOswsPDuUaFrAcffPC6/QFYixcvxuLFi3vczjAM1qxZgzVr1gx6nfaK7QtgrDGBcpUGZY3tAIAoI6VHJ7ITAkoaodXqwOMZ5/17yDAacC5NBRiSFo4NxNv7spFe0oTCOtmAAkHUD4AQQgghhFhSnxsDXn3STYYuNghgrEyAwjoZdDp9vwEvZ5FRjhnj7wonER8tcjVXajBYGq0Ov1+uBUClAEOVj6sDphnKSwbaIJCdDDAygDIBCCGEEEKI+fU5CKDVaq26FICYj7eL/kS9rsU4YwI7JgM4Gy3jRMDnIT7EHQCQVmSckoCM0kY0yJRwEwu4TAMy9NyWYJgSkFHe7+CoQq3h3u8x/pQJQAghhBBCzK9fIwIJAYyfCVBQIwNgnMkAnbEn6meN1BeAHQ04a4QvhHz6pzNU3TjaD04iPorr25Be2tSvxxbUyKDW6uAmFiBAQn1GCCGEEEKI+dGZDOk3b1dDJoCxggDcZADjBgHGdeoLYAxsEIBGAw5tTiIB5o/2B9D/kgC2H0BMgJtV9VkhhBBCCCFDBwUBSL8ZOxMgv4YtBzByECBEHwQorJMNeq2lDW24XN0CPo/BzOE+xlgesWFsScD/zldApdH2+XE5VYZ+ADQZgBBCCCGEWAgFAUi/sUGA+tbB9wTQanW4UmcYD2jkTACJkxDD/fTHPDfIkoAjOfosgMQwD7g7Gad5IbFdU6K84OPqgMY2FY4ZmkX2RXZlRyYAIYQQQgghlkBBANJvbBCgoU0JdT+ugnanorkdcpUWQj6DEA9HYyyvC64vwCBLAg4bggDzqBSAQN94cuHYQADAjxl9LwlgMwFiKBOAEEIIIYRYCAUBSL95OovAYwCdTh8IGIyCWn1TwHAvZwhM0GxvXKihL8AgMgFaFWqcKqgHAMyJodGARI8tCTh0qRpSuarX/etaFahtUYBhgOF+FAQghBBCCCGWQUEA0m98HgNPZ+OMCSwwUT8A1vhwTwDA+bJmKNSaAR3jz7w6KDVahHs5IcrH2ZjLIzZsdKAbhvm6QKHWYn9WVa/7XzZkAYR5OsHZQWDq5RFCCCGEENItCgKQATFWc8COyQCmObkO93KCp7MISrUWFyukAzrG4exqAPosAOroTlgMw3DZAH2ZEsD1A/CnfgCEEEIIIcRyKAhABsToQQATZQIwDDOokgCtVoejl6kfAOneonh9X4CUK/WobG6/7r5cP4AAKgUghBBCCCGWQ0EAMiDeLoZygEEGAfJr9D0BTBUEADqaA6YV9T8IcL6sCXWtSrg6CLjSAkJYwR5OmBjhCZ0O+Cmj4rr75lRRJgAhhBBCCLE8CgKQAfHiMgEG3hOguU3FBRGijDwesLPx4R0TAnQ6Xb8ey44GnDHCByIB/XMh1+pLSYBao0VutT7rZSRlAhBCCCGEEAuisxoyIFw5QMvAMwEK6vQnRf5uYriYsFFabJAEQj6D2hYFyhqvn7J9tUPZ+iDA3BgqBSDdu2lMAER8HnKqWri6/6sV1cugVGvhJOIjxMPJzCskhBBCCCGkAwUByICw5QC1gygH4CYDmKgpIEss5GN0oAQAkFbc0OfHVTS1I7tSCh4DzBpBQQDSPYmTEHMMQaKesgEuVer7AYzwdwWPR80lCSGEEEKI5VAQgAyIt6s+E6B+EOUABbWm7wfAGm/oC3C2H80BDxtKAcaFenAjEQnpzm3j9CUBP2VUQKO9tuQkhyYDEEIIIYQQK0FBADIgPkaYDmDqyQCdJXJBgKY+P+aIYTTg3JF+plgSsSOzRvhA4ihElVSO1Cv112xnJwNQPwBCCCGEEGJpFAQgA8L2BKiXKaHt5spnX1giCHC5SooWuarX/duUapwo0J/MzaXRgKQXDgI+bo4LAADs7qYkgDIBCCGEEEKItaAgABkQL0NPAI1Wh6b23k+qr6ZUa1Fc3wbA9D0BAMDXTYwQT0dodUBGaVOv+5/Ir4dSrUWIpyOiTTi5gNgPdkrA/qwqtCs13P3NbSpUNMsBADGUCUAIIYQQQiyMggBkQIR8HtydhAAGVhJQ0iCDRquDs4gPfzexsZfXrcTQvvcFOMyWAsT4gWGokRvpXWKoB4I9HNGqUOOQ4f0DADlV+iyAIHdHuImFlloeIYQQQgghACgIQAZhMGMC82sMTQF9Xcx2kp3Yx+aAWq0ORwxNAakUgPQVj8dw2QCdpwRQPwBCCCGEEGJNKAhABmwwYwLN2Q+ANc4QBEgvaeq2gzsrq6IZNS0KOIv4mBjhaa7lETuwKF4fBDiWW4t6w78LNhOA+gEQQgghhBBrQEEAMmBcJsAAxgR2BAFM3w+AFePvBmcRH60KNXKrW3rc73C2PgtgxnAfOAj45loesQPDfF0QFyyBWqvD3guVAIDsSv17jfoBEEIIIYQQa0BBADJg3oMYE1hQaygHMGMmAJ/HIKEPfQEO5+jruefEUCkA6b9kQzbA7nPl0Gp1uGwoB6BMAEIIIYQQYg1sJggQHh4OhmG63N59990u+2RmZmL69OkQi8UICQnBunXrrjnOzp07ERMTA7FYjNjYWOzbt6/Ldp1Oh9WrVyMgIACOjo6YN28e8vLyTPrabBVbDtDfngA6nQ5XagyZAGbuvD+ul74AVc1yZJVLwTDAbAoCkAG4dWwg+DwGGaVNOJZXi3aVBg4CHsK9nCy9NEIIIYQQQmwnCAAAa9asQWVlJXd75plnuG1SqRQ33ngjwsLCcPbsWbz//vt4/fXXsXnzZm6fkydPYsmSJVi6dCnS09ORnJyM5ORkZGVlcfusW7cOn3zyCTZt2oTU1FQ4Oztj/vz5kMvlZn2ttmCgmQA1LQq0KNTg8xiEmfnEaHwvQQC2IWB8iDv3+gjpDx9XB0yP9gYAvPdrDgBguJ8rBHyb+rglhBBCCCF2yqa+lbq6usLf35+7OTt31JN/++23UCqV2LJlC0aPHo27774bzz77LD788ENunw0bNmDBggV48cUXMXLkSLz55psYN24cNm7cCEB/hfrjjz/Gq6++ikWLFiEuLg5bt25FRUUF9uzZY+6Xa/XYk+R6Wf96AhQYsgBCPZ3MXnMfH+oOhgFKGtpQ03JtYOeIoRRg3kg/s66L2Bd2SkAOVwpA/QAIIYQQQoh1sKkgwLvvvgsvLy8kJCTg/fffh1qt5ralpKRgxowZEIlE3H3z58/H5cuX0djYyO0zb968LsecP38+UlJSAACFhYWoqqrqso9EIkFSUhK3T3cUCgWkUmmX21Dg7TqwEYGWaArIchMLMcJPf0J2rripyza5SoM/8+sAUD8AMjg3jPKDk6gjwBUTQP0ACCGEEEKIdbCZIMCzzz6L7du34+jRo3jsscfw9ttvY+XKldz2qqoq+Pl1vXrL/lxVVXXdfTpv7/y47vbpzjvvvAOJRMLdQkJCBvgqbQvXE6BVCZ2u55F7V7NEU8DOOvoCNHS5/2RBHeQqLYLcHenKLRkUJ5EAC0b7cz+PpPcTIYQQQgixEhYNAqxateqaZn9X33Jy9DW1zz//PGbNmoW4uDg8/vjjWL9+PT799FMoFP3vTG9sL7/8Mpqbm7lbaWmppZdkFmw5gFKjhVSu7mXvDh2ZAJYJAvTUF+CQYTTgnBhfMAxj9nUR+5JsKAkAgBEUBCCEEEIIIVZCYMknf+GFF/DQQw9dd5/IyMhu709KSoJarUZRURFGjBgBf39/VFdXd9mH/dnf35/7b3f7dN7O3hcQENBln/j4+B7X6ODgAAeHoddETizkw9VBgBaFGnWtCkgchX16XAE3GcD85QAAkGgIAmSVSyFXaSAW8qHT6XDEEASYO5JKAcjgTR3mjdsTgiBxEsKLmkwSQgghhBArYdEggI+PD3x8fAb02IyMDPB4PPj66k/YJk+ejH/84x9QqVQQCvUnowcPHsSIESPg4eHB7XP48GEsX76cO87BgwcxefJkAEBERAT8/f1x+PBh7qRfKpUiNTUVTzzxxABfpX3zdnXQBwFaFH26si9TqFHRrG/IZ6lMgFBPJ3i7iFDXqkRWeTPGh3viUqUUVVI5nER8TIr0ssi6iH3h8xh8+Nd4Sy+DEEIIIYSQLmyiJ0BKSgo+/vhjnD9/HleuXMG3336LFStW4L777uNO8O+55x6IRCIsXboUFy9exI4dO7BhwwY8//zz3HGee+457N+/H+vXr0dOTg5ef/11pKWl4emnnwYAMAyD5cuXY+3atfj5559x4cIFPPDAAwgMDERycrIlXrrV69wXoC+uGPoBeLuI4O4k6mVv02AYhssGYEsCDhuyAKYN84ZYaN6JBYQQQgghhBBiLhbNBOgrBwcHbN++Ha+//joUCgUiIiKwYsWKLif4EokEBw4cwFNPPYXExER4e3tj9erVWLZsGbfPlClTsG3bNrz66qt45ZVXEB0djT179mDMmDHcPitXroRMJsOyZcvQ1NSEadOmYf/+/RCLxWZ9zbbCy9kwIaC1b70Z2H4AkRbKAmAlhnngt4vVHUGAHCoFIIQQQgghhNg/mwgCjBs3DqdOnep1v7i4OBw/fvy6+yxevBiLFy/ucTvDMFizZg3WrFnT73UORd6ubCZA/4IAlioFYHXOBKhpkeN8aRMAYDaNBiSEEEIIIYTYMZsoByDWi50Q0P8ggGWaArJGB0og4vNQL1PiqxNFAICxwRL4ulLGByGEEEIIIcR+URCADAobBKht6VtPgIIafU+AKF/LZgKIhXzEBksAAF8aggBzR/pZcEWEEEIIIYQQYnoUBCCDwgYB6mW9ZwJotDoU1umDAMMsXA4AdJQEtKs0AIA5VApACCGEEEIIsXMUBCCD4tOPngBljW1QarRwEPAQ6O5o6qX1alyoB/f//m5ijA50s+BqCCGEEEIIIcT0KAhABoXrCdCHcoD8mo7JAHweY9J19QWbCQAAc0b6gmEsvyZCCCGEEEIIMSUKApBBYYMA7SoNZAr1dfe1lqaALB9XB24tN4yifgCEEEIIIYQQ+2cTIwKJ9XJ2EMBRyEe7SoO6VgWcHXp+S3FNAa2gHwDrkyUJyK5swazhPpZeCiGEEEIIIYSYHGUCkEHz7mNfAC4TwMKTATobHSjBnYnBVApACCGEEEIIGRIoCEAGra9jAq2tHIAQQgghhBBChhoKApBB83I2NAe8TiZAg0yJxjYVACDS23oyAQghhBBCCCFkKKEgABm0vowJZLMAgtwd4Sjim2VdhBBCCCGEEEK6oiAAGTRuTOB1ggDseMBhVtQPgBBCCCGEEEKGGgoCkEFjgwD1rT33BCioYfsBUBCAEEIIIYQQQiyFggBk0PqSCdAxGYCaAhJCCCGEEEKIpVAQgAyatwvbE+A6mQC1MgCUCUAIIYQQQgghlkRBADJo3q6GTICW7jMB5CoNShvbAFAQgBBCCCGEEEIsiYIAZNDYcoAWhRpyleaa7UX1Muh0gJtYwGUNEEIIIYQQQggxPwoCkEFzEwsg4uvfSt31BSioMZQC+LqAYRizro0QQgghhBBCSAcKApBBYxjmun0BuPGAVApACCGEEEIIIRZFQQBiFF4uPfcF6JgMQEEAQgghhBBCCLEkCgIQo+jIBLhOEIAyAQghhBBCCCHEoigIQIyCbQ54dRBAq9XhCjce0Nns6yKEEEIIIYQQ0oGCAMQouDGBV/UEqJTK0a7SQMhnEOLpZImlEUIIIYQQQggxoCAAMYqeMgEKDE0Bw7ycIeTT240QQgghhBBCLInOyohR9NQToKMfAJUCEEIIIYQQQoil2UwQIDw8HAzDdLm9++673PaioqJrtjMMg1OnTnU5zs6dOxETEwOxWIzY2Fjs27evy3adTofVq1cjICAAjo6OmDdvHvLy8szyGm2Zj0v35QDceECaDEAIIYQQQgghFmczQQAAWLNmDSorK7nbM888c80+hw4d6rJPYmIit+3kyZNYsmQJli5divT0dCQnJyM5ORlZWVncPuvWrcMnn3yCTZs2ITU1Fc7Ozpg/fz7kcrlZXqOt6ugJ0FMmAAUBCCGEEEIIIcTSbCoI4OrqCn9/f+7m7Hxtivn/t3ff4VGUexvH701CNgUSAqlACIkgRZqAxCAICC+Bgx6wYEOlWUBAmgiIElAxFEFQBESUYKMqqFQjzUIUDEQFAQslFhJUAoEAAbLz/sFhjys9Z3dnk/1+vObSzDwzez8OE3Z/+8wzFStWdGhTpkwZ+7apU6eqffv2Gjp0qGrXrq1nn31WjRo10rRp0ySdGQUwZcoUPfXUU+rUqZPq16+vN998U7///ruWLl3qrm6WSGfnBDh07JROFdns63+2PxmAIgAAAAAAmK1EFQHGjRunihUr6tprr9XEiRN1+vTpc9r8+9//VmRkpJo3b64PP/zQYVtGRobatm3rsC45OVkZGRmSpD179ignJ8ehTWhoqBITE+1tzqewsFD5+fkOi7cpH1hGvj4WSdJf/7kl4PDxU/rjyJmRAQnMCQAAAAAApvMzO8Dleuyxx9SoUSNVqFBBGzdu1IgRI7R//35NnjxZklS2bFlNmjRJN9xwg3x8fPTee++pc+fOWrp0qf79739LknJychQVFeVw3KioKOXk5Ni3n113oTbnk5qaqjFjxjitryWRj49FFYP9deBIof48Wqjo0ADt/s+tAFEhVpULKHOJIwAAAAAAXM3UIsDw4cM1fvz4i7bZsWOHatWqpcGDB9vX1a9fX/7+/nrkkUeUmpoqq9Wq8PBwhzbXXXedfv/9d02cONFeBHCVESNGOLx2fn6+YmNjXfqanqhiWasOHCnUH/+ZF4BbAQAAAADAs5haBBgyZIi6d+9+0TYJCQnnXZ+YmKjTp09r7969qlmz5gXbpKen23+Ojo5Wbm6uQ5vc3FxFR0fbt59dFxMT49CmYcOGF8xotVpltVov2g9vYH9M4JGzRQAmBQQAAAAAT2JqESAiIkIRERHF2jcrK0s+Pj6KjIy8aJu/f5hPSkrSmjVrNHDgQPu69PR0JSUlSZLi4+MVHR2tNWvW2D/05+fn66uvvlKfPn2KldOb/PMxgTweEAAAAAA8S4mYEyAjI0NfffWVWrdurXLlyikjI0ODBg3Sfffdp7CwMEnS3Llz5e/vr2uvvVaS9P777+uNN97Q7Nmz7ccZMGCAWrZsqUmTJqljx46aP3++vv76a82aNUuSZLFYNHDgQD333HOqUaOG4uPj9fTTT6tSpUrq3Lmz2/td0vzzMYGMBAAAAAAAz1IiigBWq1Xz58/X6NGjVVhYqPj4eA0aNMjhPnxJevbZZ7Vv3z75+fmpVq1aWrBgge644w779mbNmundd9/VU089pSeffFI1atTQ0qVLVbduXXubJ554QgUFBXr44Yd16NAhNW/eXKtWrVJAQIDb+ltSnb0d4K+jhTpVZFP2X8ckSVdF8mQAAAAAAPAEFsMwDLNDlDb5+fkKDQ3V4cOHFRISYnYct3l/y68avPAbNa8ertH/vkZtJ29QkL+vto9JlsViMTseAAAAAJRal/s51MeNmVDKhZf97+0Af78VgAIAAAAAAHgGigBwmvMXAbgVAAAAAAA8BUUAOE14uTNzAhwsOKkfc3kyAAAAAAB4GooAcJoKQf6yWCSbIW3ee1ASTwYAAAAAAE9CEQBO4+fro7CgM6MBfs07Lkm6ipEAAAAAAOAxKALAqc4+JlCSfCxSXMUgE9MAAAAAAP6OIgCc6uzkgJJUtUKQrH6+JqYBAAAAAPwdRQA41d+LAMwHAAAAAACehSIAnMqhCMB8AAAAAADgUSgCwKnOPiZQkqozEgAAAAAAPApFADiV40iAYBOTAAAAAAD+iSIAnCrib0WAhHBGAgAAAACAJ6EIAKeKKR8gSYosZ1VYsP8lWgMAAAAA3MnP7AAoXWpGldOom+vo6qhyZkcBAAAAAPwDRQA4lcViUc/m8WbHAAAAAACcB7cDAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJfzMDlAaGYYhScrPzzc5CQAAAADAG5z9/Hn28+iFUARwgSNHjkiSYmNjTU4CAAAAAPAmR44cUWho6AW3W4xLlQlwxWw2m37//XeVK1dOFovF7DgXlJ+fr9jYWP3yyy8KCQkxOw4uA+esZOF8lSycr5KHc1aycL5KHs5ZycL5Kllccb4Mw9CRI0dUqVIl+fhc+M5/RgK4gI+Pj6pUqWJ2jMsWEhLCL4oShnNWsnC+ShbOV8nDOStZOF8lD+esZOF8lSzOPl8XGwFwFhMDAgAAAADgJSgCAAAAAADgJSgCeDGr1aqUlBRZrVazo+Aycc5KFs5XycL5Knk4ZyUL56vk4ZyVLJyvksXM88XEgAAAAAAAeAlGAgAAAAAA4CUoAgAAAAAA4CUoAgAAAAAA4CUoAgAAAAAA4CUoAgAAAAAA4CUoAnixV155RdWqVVNAQIASExO1adMmsyNB0ujRo2WxWByWWrVq2befOHFCffv2VcWKFVW2bFndfvvtys3NNTGxd/n00091yy23qFKlSrJYLFq6dKnDdsMwNGrUKMXExCgwMFBt27bVjz/+6NDm4MGD6tq1q0JCQlS+fHn16tVLR48edWMvvMulzln37t3Puebat2/v0IZz5j6pqam67rrrVK5cOUVGRqpz587atWuXQ5vL+T2YnZ2tjh07KigoSJGRkRo6dKhOnz7tzq54hcs5X61atTrnGuvdu7dDG86Xe8yYMUP169dXSEiIQkJClJSUpJUrV9q3c215nkudM64vzzZu3DhZLBYNHDjQvs4TrjOKAF5qwYIFGjx4sFJSUrRlyxY1aNBAycnJOnDggNnRIOmaa67R/v377cvnn39u3zZo0CB99NFHWrRokTZs2KDff/9dt912m4lpvUtBQYEaNGigV1555bzbJ0yYoJdeekkzZ87UV199peDgYCUnJ+vEiRP2Nl27dtX27duVnp6uZcuW6dNPP9XDDz/sri54nUudM0lq3769wzU3b948h+2cM/fZsGGD+vbtqy+//FLp6ek6deqU2rVrp4KCAnubS/0eLCoqUseOHXXy5Elt3LhRc+fOVVpamkaNGmVGl0q1yzlfkvTQQw85XGMTJkywb+N8uU+VKlU0btw4ZWZm6uuvv9ZNN92kTp06afv27ZK4tjzRpc6ZxPXlqTZv3qxXX31V9evXd1jvEdeZAa/UtGlTo2/fvvafi4qKjEqVKhmpqakmpoJhGEZKSorRoEGD8247dOiQUaZMGWPRokX2dTt27DAkGRkZGW5KiLMkGUuWLLH/bLPZjOjoaGPixIn2dYcOHTKsVqsxb948wzAM4/vvvzckGZs3b7a3WblypWGxWIzffvvNbdm91T/PmWEYRrdu3YxOnTpdcB/OmbkOHDhgSDI2bNhgGMbl/R5csWKF4ePjY+Tk5NjbzJgxwwgJCTEKCwvd2wEv88/zZRiG0bJlS2PAgAEX3IfzZa6wsDBj9uzZXFslyNlzZhhcX57qyJEjRo0aNYz09HSHc+Qp1xkjAbzQyZMnlZmZqbZt29rX+fj4qG3btsrIyDAxGc768ccfValSJSUkJKhr167Kzs6WJGVmZurUqVMO565WrVqqWrUq584D7NmzRzk5OQ7nJzQ0VImJifbzk5GRofLly6tJkyb2Nm3btpWPj4+++uort2fGGevXr1dkZKRq1qypPn366K+//rJv45yZ6/Dhw5KkChUqSLq834MZGRmqV6+eoqKi7G2Sk5OVn5/v8O0ZnO+f5+usd955R+Hh4apbt65GjBihY8eO2bdxvsxRVFSk+fPnq6CgQElJSVxbJcA/z9lZXF+ep2/fvurYsaPD9SR5zt9hfk45CkqUP//8U0VFRQ5/sCQpKipKO3fuNCkVzkpMTFRaWppq1qyp/fv3a8yYMWrRooW2bdumnJwc+fv7q3z58g77REVFKScnx5zAsDt7Ds53bZ3dlpOTo8jISIftfn5+qlChAufQJO3bt9dtt92m+Ph4/fzzz3ryySfVoUMHZWRkyNfXl3NmIpvNpoEDB+qGG25Q3bp1Jemyfg/m5OSc9zo8uw2ucb7zJUn33nuv4uLiVKlSJX377bcaNmyYdu3apffff18S58vdvvvuOyUlJenEiRMqW7aslixZojp16igrK4try0Nd6JxJXF+eaP78+dqyZYs2b958zjZP+TuMIgDgYTp06GD/7/r16ysxMVFxcXFauHChAgMDTUwGlE533323/b/r1aun+vXr66qrrtL69evVpk0bE5Ohb9++2rZtm8O8KPBcFzpff58/o169eoqJiVGbNm30888/66qrrnJ3TK9Xs2ZNZWVl6fDhw1q8eLG6deumDRs2mB0LF3Ghc1anTh2uLw/zyy+/aMCAAUpPT1dAQIDZcS6I2wG8UHh4uHx9fc+ZhTI3N1fR0dEmpcKFlC9fXldffbV++uknRUdH6+TJkzp06JBDG86dZzh7Di52bUVHR58zAefp06d18OBBzqGHSEhIUHh4uH766SdJnDOz9OvXT8uWLdO6detUpUoV+/rL+T0YHR193uvw7DY434XO1/kkJiZKksM1xvlyH39/f1WvXl2NGzdWamqqGjRooKlTp3JtebALnbPz4foyV2Zmpg4cOKBGjRrJz89Pfn5+2rBhg1566SX5+fkpKirKI64zigBeyN/fX40bN9aaNWvs62w2m9asWeNwfxE8w9GjR/Xzzz8rJiZGjRs3VpkyZRzO3a5du5Sdnc258wDx8fGKjo52OD/5+fn66quv7OcnKSlJhw4dUmZmpr3N2rVrZbPZ7H9xw1y//vqr/vrrL8XExEjinLmbYRjq16+flixZorVr1yo+Pt5h++X8HkxKStJ3333nULxJT09XSEiIfQgtnONS5+t8srKyJMnhGuN8mcdms6mwsJBrqwQ5e87Oh+vLXG3atNF3332nrKws+9KkSRN17drV/t8ecZ05ZXpBlDjz5883rFarkZaWZnz//ffGww8/bJQvX95hFkqYY8iQIcb69euNPXv2GF988YXRtm1bIzw83Dhw4IBhGIbRu3dvo2rVqsbatWuNr7/+2khKSjKSkpJMTu09jhw5YmzdutXYunWrIcmYPHmysXXrVmPfvn2GYRjGuHHjjPLlyxsffPCB8e233xqdOnUy4uPjjePHj9uP0b59e+Paa681vvrqK+Pzzz83atSoYdxzzz1mdanUu9g5O3LkiPH4448bGRkZxp49e4xPPvnEaNSokVGjRg3jxIkT9mNwztynT58+RmhoqLF+/Xpj//799uXYsWP2Npf6PXj69Gmjbt26Rrt27YysrCxj1apVRkREhDFixAgzulSqXep8/fTTT8YzzzxjfP3118aePXuMDz74wEhISDBuvPFG+zE4X+4zfPhwY8OGDcaePXuMb7/91hg+fLhhsViMjz/+2DAMri1PdLFzxvVVMvzzCQ6ecJ1RBPBiL7/8slG1alXD39/faNq0qfHll1+aHQmGYdx1111GTEyM4e/vb1SuXNm46667jJ9++sm+/fjx48ajjz5qhIWFGUFBQcatt95q7N+/38TE3mXdunWGpHOWbt26GYZx5jGBTz/9tBEVFWVYrVajTZs2xq5duxyO8ddffxn33HOPUbZsWSMkJMTo0aOHceTIERN64x0uds6OHTtmtGvXzoiIiDDKlCljxMXFGQ899NA5BVHOmfuc71xJMubMmWNvczm/B/fu3Wt06NDBCAwMNMLDw40hQ4YYp06dcnNvSr9Lna/s7GzjxhtvNCpUqGBYrVajevXqxtChQ43Dhw87HIfz5R49e/Y04uLiDH9/fyMiIsJo06aNvQBgGFxbnuhi54zrq2T4ZxHAE64zi2EYhnPGFAAAAAAAAE/GnAAAAAAAAHgJigAAAAAAAHgJigAAAAAAAHgJigAAAAAAAHgJigAAAAAAAHgJigAAAAAAAHgJigAAAAAAAHgJigAAAMAl9u7dK4vFoqysLJe9Rvfu3dW5c2eXHR8AgNKGIgAAADiv7t27y2KxnLO0b9/+svaPjY3V/v37VbduXRcnBQAAl8vP7AAAAMBztW/fXnPmzHFYZ7VaL2tfX19fRUdHuyIWAAAoJkYCAACAC7JarYqOjnZYwsLCJEkWi0UzZsxQhw4dFBgYqISEBC1evNi+7z9vB8jLy1PXrl0VERGhwMBA1ahRw6HA8N133+mmm25SYGCgKlasqIcfflhHjx61by8qKtLgwYNVvnx5VaxYUU888YQMw3DIa7PZlJqaqvj4eAUGBqpBgwYOmS6VAQCA0o4iAAAAKLann35at99+u7755ht17dpVd999t3bs2HHBtt9//71WrlypHTt2aMaMGQoPD5ckFRQUKDk5WWFhYdq8ebMWLVqkTz75RP369bPvP2nSJKWlpemNN97Q559/roMHD2rJkiUOr5Gamqo333xTM2fO1Pbt2zVo0CDdd9992rBhwyUzAADgDSzGP0voAAAAOjMnwNtvv62AgACH9U8++aSefPJJWSwW9e7dWzNmzLBvu/7669WoUSNNnz5de/fuVXx8vLZu3aqGDRvq3//+t8LDw/XGG2+c81qvvfaahg0bpl9++UXBwcGSpBUrVuiWW27R77//rqioKFWqVEmDBg3S0KFDJUmnT59WfHy8GjdurKVLl6qwsFAVKlTQJ598oqSkJPuxH3zwQR07dkzvvvvuRTMAAOANmBMAAABcUOvWrR0+5EtShQoV7P/99w/bZ3++0NMA+vTpo9tvv11btmxRu3bt1LlzZzVr1kyStGPHDjVo0MBeAJCkG264QTabTbt27VJAQID279+vxMRE+3Y/Pz81adLEfkvATz/9pGPHjun//u//HF735MmTuvbaay+ZAQAAb0ARAAAAXFBwcLCqV6/ulGN16NBB+/bt04oVK5Senq42bdqob9++euGFF5xy/LPzByxfvlyVK1d22HZ2MkNXZwAAwNMxJwAAACi2L7/88pyfa9eufcH2ERER6tatm95++21NmTJFs2bNkiTVrl1b33zzjQoKCuxtv/jiC/n4+KhmzZoKDQ1VTEyMvvrqK/v206dPKzMz0/5znTp1ZLValZ2drerVqzsssbGxl8wAAIA3YCQAAAC4oMLCQuXk5Dis8/Pzs0+mt2jRIjVp0kTNmzfXO++8o02bNun1118/77FGjRqlxo0b65prrlFhYaGWLVtmLxh07dpVKSkp6tatm0aPHq0//vhD/fv31/3336+oqChJ0oABAzRu3DjVqFFDtWrV0uTJk3Xo0CH78cuVK6fHH39cgwYNks1mU/PmzXX48GF98cUXCgkJUbdu3S6aAQAAb0ARAAAAXNCqVasUExPjsK5mzZrauXOnJGnMmDGaP3++Hn30UcXExGjevHmqU6fOeY/l7++vESNGaO/evQoMDFSLFi00f/58SVJQUJBWr16tAQMG6LrrrlNQUJBuv/12TZ482b7/kCFDtH//fnXr1k0+Pj7q2bOnbr31Vh0+fNje5tlnn1VERIRSU1O1e/dulS9fXo0aNdKTTz55yQwAAHgDng4AAACKxWKxaMmSJercubPZUQAAwGViTgAAAAAAALwERQAAAAAAALwEcwIAAIBi4Y5CAABKHkYCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAADgJSgCAAAAAAD0yiuvqFq1agoICFBiYqI2bdpkdiS4AEUAAAAAAPByCxYs0ODBg5WSkqItW7aoQYMGSk5O1oEDB8yOBiezGIZhmB0CAAAAAOA8hYWFKiwsdFhntVpltVrP2z4xMVHXXXedpk2bJkmy2WyKjY1V//79NXz4cJfnhfv4mR2gtAqyVjM7gikC/MLMjmAKP8v5f5mWduGqanYEU5SzlTU7gini/L2z3xWsFrMjmCIywDu/I7iq7DGzI5ji6ore+U1fhdDDZkcwRYWoP82OYIqI2dvNjlAsRXqnWPulpv6oMWPGOKxLSUnR6NGjz2l78uRJZWZmasSIEfZ1Pj4+atu2rTIyMor1+vBcFAEAAAAAwEPZbEXF2m/EiBEaPHiww7oLjQL4888/VVRUpKioKIf1UVFR2rlzZ7FeH56LIgAAAAAAeCjDOF2s/S429B/ejYkBAQAAAMCLhYeHy9fXV7m5uQ7rc3NzFR0dbVIquApFAAAAAADwUIZRVKzlSvj7+6tx48Zas2aNfZ3NZtOaNWuUlJTk7C7BZNwOAAAAAAAeylbM2wGu1ODBg9WtWzc1adJETZs21ZQpU1RQUKAePXq45fXhPhQBAAAAAMBDFXdOgCt111136Y8//tCoUaOUk5Ojhg0batWqVedMFoiSjyIAAAAAAHgodxUBJKlfv37q16+f214P5qAIAAAAAAAeyrC5rwgA70ARAAAAAAA8lRtHAsA7UAQAAAAAAA/lztsB4B0oAgAAAACAp7KdMjsBShmKAAAAAADgoRgJAGejCAAAAAAAnoqJAeFkFAEAAAAAwFNRBICT+ZgdAAAAAAAAuAcjAQAAAADAUzEnAJyMIgAAAAAAeCgLtwPAySgCAAAAAICnoggAJ6MIAAAAAACeiiIAnIwiAAAAAAB4KAtzAsDJKAIAAAAAgKeyFZmdAKUMRQAAAAAA8FBMDAhnowgAAAAAAJ6KkQBwMooAAAAAAOCpGAkAJ6MIAAAAAMD1fHzPLEWnJMMwO02JYWEkAJzMx+wAAAAAAEq/sveOVMTMrSpzdROzowBejZEAAAAAAOCpGAkAJ6MIAAAAAAAeitsB4GwUAQAAAADAU1EEgJMxJ0ApFxYWqtvvuNnsGG5XPixEt97ezuwYblc+LESdbm9rdgy3Cw0LVvvbk8yO4XYhYcFqe/t1Zsdwu+DyQUq69VqzY7hdUPkgNe7kff0ODA1S3Zu9r9/+ocGq1t77rm+/cmVV8abmZsdwO5+y5VSueWuzY8BDWWxFxVqAC6EIUMrNXzhLc996SQ8/cp/ZUdzqrXmT9Vpaqno+1MXsKG6VNm+cXp3zjHo8dLvZUdzqpXlD9cKcAbr7Ie8q/Iyf30/Pzn1Etz/sXW8ch77zoAa83k3tennXB4Xec3qp18wH1LK7d/X7nlkP6o6Xu+m6+72r362nPqobJz6kmne3MjuKW9Uc+6RqjHpcUZ07mB3FrSqPfE4xQ0ep/L86mx0FnshWVLzFRfbu3atevXopPj5egYGBuuqqq5SSkqKTJ086tPv222/VokULBQQEKDY2VhMmTDjnWIsWLVKtWrUUEBCgevXqacWKFS7Ljf+iCFDKpYyaoKNHCzTlpefUu88DZsdxm+dGv6yCo8f0wpQn9eAjd5kdx22eHz1TBUePa/yLQ9XzkTvMjuM2U0bP07GjJzTqxQd17yPJZsdxmxkp7+n40UI9MeV+3dH7JrPjuM28Zz7SiaMn9eCkO5X8UAuz47jNB88vU2HBSd0zvota9fSefn8y8SOdLDipW567U027eU+/t0xdolPHCnX90/ep1r3eU+jLnvWWio6fUMLgPoq+raPZcdzmzzdfk+3EcUX1GaTyHW81Ow48jKeNBNi5c6dsNpteffVVbd++XS+++KJmzpypJ5980t4mPz9f7dq1U1xcnDIzMzVx4kSNHj1as2bNsrfZuHGj7rnnHvXq1Utbt25V586d1blzZ23bts1l2XGGxTC8+yGdf/75p9544w1lZGQoJydHkhQdHa1mzZqpe/fuioiIKNZxg6zVnJjyf9M0sZE++ChNoaEhGjwoRTOnz3XZawX4hbns2Ffquqb1tWjpNIWEltOwIeP12sz5LnstP4vVZce+Uk2a1tX8JVMUElpWIx6fpNdnLnLZa4WrqsuOfaUaNK2hWUtGqlxokMY+/obembnKZa9VzlbWZce+UnWbXqWpHwxS2dAgvTD4HS2aucZlrxXn7zn9rnFdNY1c3EdBoYF644nFWjXrU5e9VgWrxWXHvlLxTarpsXm9FRgSqPlPLtb61z9z2WtFBnjO24PYRtV0/9w+CggJ1PKUxfoqzXXn+6qyx1x27CsV0SBBbV8dKP9yQfpq7Lva+e5al73W1RUPuOzYV6rsNTVVe+Jo+ZUN1p4pryrn/eUue60KoYddduwrFVDzGlUZM0G+wWWV++pUHVr2vsteq0LUny479sWUvW+UAlvdpUMTu+vUrs1uf/2I2dvd/prOULjl+uLteM0GFRYWOqyyWq2yWp3/vnXixImaMWOGdu/eLUmaMWOGRo4cqZycHPn7+0uShg8frqVLl2rnzp2SpLvuuksFBQVatmyZ/TjXX3+9GjZsqJkzZzo9I/7LqycG3Lx5s5KTkxUUFKS2bdvq6quvliTl5ubqpZde0rhx47R69Wo1aXLxZ5kWFhaec4EZhiGLxTVvHF97fZKaXNfwivax2c68mZv84hgd/CtPCxd86IJkrjX9tWfVqPE1V7TP2X6PnzRMBw8e0nsLXffB0FWmzRqla5vUuaJ9bDabJCn1hSHK++uw3l/0sSuiuVTqrL6q16T6Fe1ztt8jX+ipQ38d0fJFX7gimkulvPag6jSJv6J9zv45f3xyVx0+eFQfL/zKFdFcqu/M+1S9UdwV7WP7Tw2754Q7dORggb5YnOmKaC7V/eWuqnbtFfb7P+f77ufvUEHeMW1+v+T1+7bJ96lygyvr99nvLDqOuUPH8gr03Qclr9/Nn++p8HpXdn0b/znfiSPvVeHho9qzfJMrorlU9ScHqmztq69sp/+c7/iBj+h0/hH9+YnrCj+uEj3oSQVcXevKdvpPv6MeGaCiI/k6suETFyRDSWP5z/ubK/V8aqrGjBnjsC4lJUWjR492QipHhw8fVoUKFew/Z2Rk6MYbb7QXACQpOTlZ48ePV15ensLCwpSRkaHBgwc7HCc5OVlLly51ej448uoiQP/+/dWlSxfNnDnznA/shmGod+/e6t+/vzIyMi56nNTzXGB+PqEq41fe2ZElSbGxlVWz5lXF3j88oqIT07hPlSrRurrmlb15+rvwcM8ZpXAlKsdGq8bV1Yq9f8WI8k7L4k4xseFKuLpysfcPiwhxYhr3iYqtoGo1Y4q9f1h4OSemcZ/wKmGqfHVUsfcPCfecUQpXokLlMEXXKH6/y1Usmf0OrRSmiOrF73dwhZLZ7+CYigpNKP71HRBWMq9v/6gIBcZVKfb+fuVDnZjGfcpERMpa5cqKXX/nG1Iy+w0XKObQ/hEjRpzzIdsVowB++uknvfzyy3rhhRfs63JychQf7/i+PSoqyr4tLCxMOTk59nV/b3N2dDZcx6uLAN98843S0tLO+429xWLRoEGDdO21l56R+HwXWFR4Pafl/Kf27e6+ovZx1apo1er5iqtWRa/OfFPTp81xUTLX+neHh66ofdW4Svpw5WuqGldJs19doFenz3NRMte6tcOjV9S+alyM3l8xXVXjYvTGrMV6bfpCFyVzre4dxly60d9UjotQ2ooUVY6L1LuzVuvt6StdlMy1Hm1/7qQ5FxMTF67pq55QpbhwLX51rRZML5nfGo25+eUrah8RV0EpH/VXZNWKWv3aZ1o5c4OLkrnW5NumXVH7ilUraPB7/VSxakWtf+MzrX2tZPZ7zt1Xdr7Lx1ZQj3n9FRZbUV+9+Zm+nFMy+726x8Qral+2criS5zyuspXDtXPeWu1423W3+7jS9wNGXlF7a0yU6kx5TgExUcpZslw5iz9yUTLX+uXJgVfUvkxUtGLHTlGZqBjlLV+iQx+955pgbuYbFaeivAPSyePnbqt0lYpy90lFp01IVoIUswhwpUP/hw8frvHjx1+0zY4dO1Sr1n9HuPz2229q3769unTpooceurL36jCPVxcBoqOjtWnTJoc/yH+3adOmc6pT53O+C8xVtwJcqfiEqlq1ep5iq1bWjOlpGjJotNmR3KJafBV9uHKWqsTGaNaM+Rr++MV/oZUW1eIr6/0Vr6hKbLRmz1ykJx+fZHYkt4iNj1LaihTFxIbrnZkrNfbxklnoulKV4yM0fdUTio6tqIUzPtGkIe+aHcktoqqFK+WjfgqPraCVszZozhOl443ypYTHVdTg9/urQpUwrXv9Uy140jv6HVY1XD3m91P5yhX0ZdoGrUjxjn6Xi41QuzmPq2xMRe14Z402PV8yC9lXylopWtdMHStrVIT2v7dMe6fOuvROpUCZ6EqKfX6KykREKe+j93Vg1lSzIzmFb1Scyg97S6dz9ujw1D4O2/wSGih00Cyd2rlJ+a/0NylhyWAxinc7wJUaMmSIunfvftE2CQkJ9v/+/fff1bp1azVr1sxhwj/pzOes3Nxch3Vnf46Ojr5om7Pb4TpeXQR4/PHH9fDDDyszM1Nt2rSxf+DPzc3VmjVr9NprrzkMaymJ3pgzRbFVK+uVaXM0dMiVfbNakr36+lhViY3Rq9Pf1YihV/bNS0k2ffZoVYmN1qzpC/TUEy+aHcdtxs/ur5jYcL01fYVSn0gzO47bjHnjIUXHVtSCV9I1eah3fECQpP6z7ld4bAWtmLleacNdN3GWp+k5/X5VqBKmta9t0MKnvKffd0y9X+UrV1DGG+u1coz39Lv5uAdVNqaivn/rE20e57qJbT1NjacGnykALP5Qe1+abXYct4kZ8tSZAsCHi3XgtSsbKePJivJydfrXH+RfJ0nlB76qor9+l3SmABD0r4fkE1hWJ7/faHJKnBUREXHZk6L/9ttvat26tRo3bqw5c+bIx8fxoXNJSUkaOXKkTp06pTJlykiS0tPTVbNmTYWFhdnbrFmzRgMHDrTvl56erqSkJOd0CBfk9U8HWLBggV588UVlZmaqqOjMUBtfX181btxYgwcP1p133lms43rK0wESrorTXXd1UurzL7nl9Tzl6QDxCbG6484OmjjOPd8geMrTAeITqui2O9tp0rg33PJ6nvJ0gKoJUep4Z3PNGOeebwg95ekAVRIilXxXol5Pdc9QWU95OkBUfLiad2mi9ya4Z6JPT3k6QES1cF13W2OtmLzaLa/nKU8HqBAXrvqdmmj9S+45357ydIByVSMV37Gpvp2x7NKNncBTng4QUDlG4W1v1K9zF7jl9Tzl6QBlYiorpGVb/TXfdU9w+ju3Ph2gjFWh/V6W/zU3OKw2bDYdffc5nVjvnnMtldynA5z64somxj6rzA2u6e9vv/2mVq1aKS4uTnPnzpWvr69929lv8Q8fPqyaNWuqXbt2GjZsmLZt26aePXvqxRdf1MMPPyzpzCMCW7ZsqXHjxqljx46aP3++nn/+eW3ZskV169Z1SXac4fVFgLNOnTqlP/888wsxPDzcXrEqLk8pAribpxQB3M1TigDu5ilFAHfzlCKAu3lKEcDdPKUI4G6eUgRwN08pAribpxQB3M1TigDu5vZHBPr5nykE1G0u6T8FgHee1YkN7p23qMQWAT6rXaz9yrTY4eQkZ6SlpalHjx7n3fb3j5bffvut+vbtq82bNys8PFz9+/fXsGHDHNovWrRITz31lPbu3asaNWpowoQJ+te//uWS3PgvigAuQhHAu1AE8C4UAbwLRQDvQhHAu1AEcCM/f4X0nSr/a5rr6NvP6MSni9weocQWATbULNZ+ZVrucnISlBZePScAAAAAADc4fVL5L/WVJbCsjGP5ZqcpUSzFfDoAcCEUAQAAAAC4nmGjAFAcNvc8HQDegyIAAAAAAHgqigBwMooAAAAAAOCpKALAySgCAAAAAICnYk4AOBlFAAAAAADwUBZGAsDJKAIAAAAAgKeiCAAnowgAAAAAAJ6KIgCczMfsAAAAAAAAwD0YCQAAAAAAnoqRAHAyigAAAAAA4KlshtkJUMpQBAAAAAAAT8VIADgZRQAAAAAA8FQUAeBkFAEAAAAAwFNxOwCcjCIAAAAAAHgqg5EAcC6KAAAAAADgqRgJACejCAAAAAAAnooiAJyMIgAAAAAAeCqKAHAyigAAAAAA4KGYEgDO5mN2AAAAAAAA4B6MBAAAAAAAT8XtAHAyigAAAAAA4Km4HQBORhEAAAAAADwVRQA4GXMCAAAAAICnMoq5uEFhYaEaNmwoi8WirKwsh23ffvutWrRooYCAAMXGxmrChAnn7L9o0SLVqlVLAQEBqlevnlasWOGe4F6OIgAAAAAAeCjDZinW4g5PPPGEKlWqdM76/Px8tWvXTnFxccrMzNTEiRM1evRozZo1y95m48aNuueee9SrVy9t3bpVnTt3VufOnbVt2za3ZPdmFAEAAAAAwFPZirm42MqVK/Xxxx/rhRdeOGfbO++8o5MnT+qNN97QNddco7vvvluPPfaYJk+ebG8zdepUtW/fXkOHDlXt2rX17LPPqlGjRpo2bZrrw3s5igAAAAAA4KlslmIthYWFys/Pd1gKCwudEik3N1cPPfSQ3nrrLQUFBZ2zPSMjQzfeeKP8/f3t65KTk7Vr1y7l5eXZ27Rt29Zhv+TkZGVkZDglIy6MIgAAAAAAeKji3g6Qmpqq0NBQhyU1NfV/z2MY6t69u3r37q0mTZqct01OTo6ioqIc1p39OScn56Jtzm6H6/B0ABcpsp00O4IpTtmOmR3BFIalyOwIpsj3/dPsCKY44VtgdgRT2E555/TEhkLMjmCKYD/33E/qafYcDTQ7ginK+Zc3O4IpKkXnmh3BFEFP1jA7Aq5EMe/vHzFihAYPHuywzmq1XrD98OHDNX78+Isec8eOHfr444915MgRjRgxoli5YD6KAAAAAADgqYziFQGsVutFP/T/05AhQ9S9e/eLtklISNDatWuVkZFxzrGbNGmirl27au7cuYqOjlZurmOR7ezP0dHR9n+fr83Z7XAdigAAAAAA4KHcNdN/RESEIiIiLtnupZde0nPPPWf/+ffff1dycrIWLFigxMRESVJSUpJGjhypU6dOqUyZMpKk9PR01axZU2FhYfY2a9as0cCBA+3HSk9PV1JSkhN7hfOhCAAAAAAAuCxVq1Z1+Lls2bKSpKuuukpVqlSRJN17770aM2aMevXqpWHDhmnbtm2aOnWqXnzxRft+AwYMUMuWLTVp0iR17NhR8+fP19dff+3wGEG4BhMDAgAAAICnsvkUbzFRaGioPv74Y+3Zs0eNGzfWkCFDNGrUKD388MP2Ns2aNdO7776rWbNmqUGDBlq8eLGWLl2qunXrmpjcOzASAAAAAAA8lZtuByiuatWqyTCMc9bXr19fn3322UX37dKli7p06eKqaLgAigAAAAAA4KGMYk4MCFwIRQAAAAAA8FQmD+1H6UMRAAAAAAA8lLueDgDvQREAAAAAADwVRQA4GUUAAAAAAPBQzAkAZ6MIAAAAAACeijkB4GQUAQAAAADAQzEnAJyNIgAAAAAAeChuB4CzUQQAAAAAAE/F7QBwMv5EAQAAAADgJRgJAAAAAAAeijkB4GwUAQAAAADAQzEnAJyNIgAAAAAAeCrmBICTUQQAAAAAAA/F7QBwNooAAAAAAOChuB0AzkYRAAAAAAA8FbcDwMkoAgAAAACAh+J2ADgbRQAAAAAA8FDcDgBnowgAAAAAAB6KkQBwNm4wKWX8/PwUFRVhdgy38/PzU2RUuNkx3O5MvyuaHQNu4ufnq/DIMLNjAABQLKeLDBWetMlmM8yOUqIYhk+xFuBC+NNRigQEBOijZe8o+9dv9GjfnmbHcZuAAKve/+A1/bz3Cz3S5z6z47hNQIBVi5ZO16496/RQ73vMjgMXswb4a877z2jTz2/rgUduMTsOAABXbPz0HCV12qUt246ZHQXwatwOUEoEBgZqyQdz1bp1c0nSi1Oek4+PRdNeft3kZK4VGBigRe+/qpatrpckvTD5afn4+GjGK2+anMy1AgMDNP+9abqxVVNJ0oTJI+Tj46NXp79jcjK4QkCgVbMXpahZywaSpNEv9JaPj0VpMz40ORkAAHA5bgeAk1EEKAWCggK19MO31LJlM9lsNvn4+Mhms2nS5GdlsVj08kuzzY7oEkFBgVq85FW1uDHRod8TXhgpi8Wi6dPmmh3RJYKCArXg/WlqfuN1Dv0e98IwWSwWzXzlbbMjwokCg6x6ffFoXd+ivsP5HjXhEVksFs2Z/oHZEQEAgAsxMSCcjdsBSrjg4CB9uOwdtWzZTOvWfa53331PkvTk8OeUl3dIL0x6RgMGPmxySucLDg7S+x+8phY3JmrD+i81f96Zb0SfHjlReXmHNX7ik+r3WHdzQ7pAcHCgFi2druY3XqdP12/SwnnLJUkpI1/Uobx8pU58Qo/2v9/klHCWoOAAzXn/GV3for42bvhGS+evkySNe3qODucd1dPjH1avfp3NDQkAAFzKsFmKtbja8uXLlZiYqMDAQIWFhalz584O27Ozs9WxY0cFBQUpMjJSQ4cO1enTpx3arF+/Xo0aNZLValX16tWVlpbm8tygCFDiRUdHqnr1eK1d85lu7dRNx48dlyRlZn6jf3W4W3l5h5SY2NjklM4XFRWuq66K07q1G9Xltkd0/NgJSdKWzG3qdHNP5eUdVtPEa01O6XyRUeFKqF5V69d+qbtv76fjx8+c761btuvWWx7Wobx8XZfYwOSU7lc+rJxuua2V2TGcLiIqTNWuqqQv1mXpwS5jdOJ4oSTpuy0/6oFOI3U476iubVrb5JTuFxIWrP+7vanZMdyubPkgNbu19P1eu5TA8kFq+G8v7HdokK65uZHZMdyuTEiwKrdLNDuG2/kEhygoqa3ZMeChPHFiwPfee0/333+/evTooW+++UZffPGF7r33Xvv2oqIidezYUSdPntTGjRs1d+5cpaWladSoUfY2e/bsUceOHdW6dWtlZWVp4MCBevDBB7V69WqXZge3A5R4P/+8V61u/Ldycv7QiRMnHLZtyfxWLW64Wbt37zMpnevs3p2ttq3vUW7uHzpxotBh29Yt23TTjXdqz55fTErnOnt2/6Lk1g/oQO6f5/Q7a8v3atuyq/bu+dWkdOaZ/e4zatqsnsIqhOjN2aXnPvl9u/frjraP64/cPBWeOOmw7butP+m2mwYpe0+OSenMM3FefzW84WqFViirxa+tNTuO2wx950HVSkpQ2QrB+vj1z82O4zY9ZvdSfGKCgsKCtXGu9/T7rlkPKq7pVQoKC9bmtz4zO47bXD95gMKvvVrfhJbV7kVrzI7jNhFDx8taq6EOlgvV0Y/fMzsOPIynPSLw9OnTGjBggCZOnKhevXrZ19epU8f+3x9//LG+//57ffLJJ4qKilLDhg317LPPatiwYRo9erT8/f01c+ZMxcfHa9KkSZKk2rVr6/PPP9eLL76o5ORkt/fLmzASoBTYu/eXcwoAZ/34424VFRW5OZF77Nv36zkfhM/66ae9pbbf2ft+u2C/f/5pX6nt98WMGzNbBUeP6/kXB6r7w53NjuNUv+7LPacAcNaen35XUZHNzYnM98roxTp2tFDDpjygLo+0MTuO27z7zEc6cfSkHpp0p9o/1MLsOG6zYtwynSw4qduf76IbuntPv9dM/EgnCwrV8bk71bTbjWbHcZvtLy/S6WOFavhkNyXc5T3fjB+aN0PGieOq+OATKpd8h9lx4GEMw1KspbCwUPn5+Q5LYeH530NeiS1btui3336Tj4+Prr32WsXExKhDhw7atm2bvU1GRobq1aunqKgo+7rk5GTl5+dr+/bt9jZt2zpe58nJycrIyPifM+LiKAIAKPG+/nK7ut46TPmHj+q5SY+pxyO3mh0JLvTtlz/psU4v6OjhY3pi8v26s7d3fFDY9dUejb19uo4dPq5eE7uo/cPe8cFw79d7NKvrDB3PP67bxt6h5j28oxDwy9d79NYD03Ui/7j+9UwXNe3uHef74Dc/6ou+E3XqyDE1HP6AEu7+P7MjuUXhrm+VO/Yx2Y4dVYVeQ1WufRezI8GDFLcIkJqaqtDQUIclNTX1f86ze/duSdLo0aP11FNPadmyZQoLC1OrVq108OBBSVJOTo5DAUCS/eecnJyLtsnPz7ff8grX4HaAS/jll1+UkpKiN95444JtCgsLz6mqGYYhi8Wzhu4AJcmUV4erYZNaV7SPzWZIkp59ob/yDh7W0kXeM1S8pBv92kO6pnHCFe1z9nwPnXSfDh88qtULv3RFNJfqN/M+VW8Ud0X72Iwz/e414Q4dPVigzxdnuiKaS90ztauqNryyfhv/Od+3PneHCvKOaevSktfvWyffr8oNrrDf/znf/xrTRcfzCvTdByWv342ffVgVrrmy6/tsvxsOu18nDx3Vr6tK3jeDFfumyFq9zqUb/o1hOzO6q0LPx1V05LCOffGxK6KhhCnu7QAjRozQ4MGDHdZZrdYLth8+fLjGjx9/0WPu2LFDtv/8OR05cqRuv/12SdKcOXNUpUoVLVq0SI888kix8sJ9KAJcwsGDBzV37tyLFgFSU1M1ZswYh3U+lrLy8y3n6nhAqVU5NlLVr65a7P0rhpd3Xhi4XHSViqpWM6bY+4eFl8zft+FVwlT56qhLN7yAkPCyTkzjPuUrhSmyevH7XbZiyex3aKUwhf8P/Q6qUDL7HRRdUeXiKxV7f2tYyby+/cKjVKZytWLv7xsS5rwwKNGKO8mf1Wq96If+fxoyZIi6d+9+0TYJCQnav3+/JMc5AKxWqxISEpSdnS1Jio6O1qZNmxz2zc3NtW87+++z6/7eJiQkRIGBgZedG1fO64sAH3548UnEzg53uZjzVdnCK9T8n3IB3q7LvwZfutHfxMZFa+HyyYqNi1barKV6fcb7LkoGV+jdYdwVta8UF64ZK4erUly4Fr26RvOnp7somWuNvvnlK2ofGVdBKR/1V2TVilr12mdaMXODi5K51owu066ofYXYCuqzqJ8qxFbUF2mf6bPXS2a/0+5+6Yral4+tqO7z+qt8bEVtevNTfTWnZPb7s4eubPhxUKVwtXhthIIrRejnBZ/o53kl89vw3DGPXlF7v4gYRaVMl19kJR1ZvVhHVi5wUTL32vdroSLDyygw4NwPsj/vK1TVyv4q48fo2Ytx18SAERERioiIuGS7xo0by2q1ateuXWrevLkk6dSpU9q7d6/i4s6MdkpKStLYsWN14MABRUZGSpLS09MVEhJiLx4kJSVpxYoVDsdOT09XUlKSM7uF8/D6IkDnzp1lsVjsw87O51LD+s9XZeNWAMB94uIraeHySaocG6U5M5fo6aFX9sEKJUvl+AjNXDlc0bEVtWDGJ3rh8bfNjuQWUdXCNfqjfgqPraCVszbojSe8YwbxinEV1WdRf4VVDtPnb3yqJU97R7/Dqoar+/z+Cq1cQV+lbdDKlMVmR3KL4CqRajFrhIJiKurn+en6ZvxbZkdyC7+oymcKAOHRyl+5UHlzJpkdySn2/Vqono/vU7VYf738jOPovm92HFO/kb+oSYMgTR5VhffOF2EYnvX/JiQkRL1791ZKSopiY2MVFxeniRMnSpK6dDkzn0W7du1Up04d3X///ZowYYJycnL01FNPqW/fvvbPTb1799a0adP0xBNPqGfPnlq7dq0WLlyo5cuXm9Y3b+H1EwPGxMTo/fffl81mO++yZcsWsyMCuISXZo9Q5dgovT79PQoAXuCZ1x9RdGxFzZ/+sdcUACTpsVn3Kzy2glbMXO81BQBJuvfl+xVWOUyfzt7gNQUASbpt6gMKrVxBX76x3msKAJLUZGxvBcVU1E/vrvaaAoAkhfcfc6YAsGJBqSkASFJkeBnViLdq67bj6vdUto4dO3Mv+bc7jqvfyF9UcNym6xsFUwAogSZOnKi7775b999/v6677jrt27dPa9euVVjYmdtYfH19tWzZMvn6+iopKUn33XefHnjgAT3zzDP2Y8THx2v58uVKT09XgwYNNGnSJM2ePZvHA7qB148EaNy4sTIzM9WpU6fzbr/UKAEA5hvwUKo6d2mjKV70htGbpTw4S+3vvF6zx138dq7S5uVH3lLzLk20eMIqs6O41buPva1GnRsrfcpqs6O41ZKBb6pepyba8JJ3ne+vn5qp2A5J2jnrA7OjuNWfL49WcPNkHX7vdbOjOFVggI+mjI7V4DG/6sutBcr6/syM79PS/pDFIo3oG60uNzP3waV42kgASSpTpoxeeOEFvfDCCxdsExcXd85w/39q1aqVtm7d6ux4uASvHwkwdOhQNWvW7ILbq1evrnXr1rkxEYArtXf37xQAvMivuw94XQFAknL2/Ol1BQBJ+mvvn15XAJCkg/v+9LoCgCQV/HLA6woAknQ699dSVwA4K8DqoxdHV1FS42D7OgoAV8awWYq1ABfi9UWAFi1aqH379hfcHhwcrJYtW7oxEQAAAFB6WP19NHlUFd3QJFgWi/Rkv2jd0ZECwOUyDEuxFuBCLAZj3V3CWqb4j8Ipyfz9SuZjfP5XfpbLf/xKaRLsG252BFP4yzsfW1PRdukZg0ujamVCzI5giqrB3vkGspyfzewIpqhf4bDZEUzRuMYusyOYInxc8R/J+r8oKjJUcMymkHK+prx+cMJSU173f7X7thuKtV/C+184OQlKC6+fEwAAAACA6/n6WkwrAJRkNr7Vh5NRBAAAAAAAD8X9/XA2igAAAAAA4KG4vx/ORhEAAAAAADwURQA4G0UAAAAAAPBQFAHgbBQBAAAAAMBD2Qyvf6o7nIwiAAAAAAB4KCYGhLNRVgIAAAAAwEswEgAAAAAAPBRzAsDZKAIAAAAAgIeiCABnowgAAAAAAB7KRhEATkYRAAAAAAA8FCMB4GwUAQAAAADAQ1EEgLNRBAAAAAAAD8XtAHA2igAAAAAA4KEYCQBnowgAAAAAAB6KIgCcjSIAAAAAAHgobgeAs1EEAAAAAAAPxUgAOJuP2QEAAAAAAIB7MBIAAAAAADwUIwHgbIwEAAAAAAAPZTMsxVpc6YcfflCnTp0UHh6ukJAQNW/eXOvWrXNok52drY4dOyooKEiRkZEaOnSoTp8+7dBm/fr1atSokaxWq6pXr660tDSX5sYZFAEAAAAAwEMZhqVYiyvdfPPNOn36tNauXavMzEw1aNBAN998s3JyciRJRUVF6tixo06ePKmNGzdq7ty5SktL06hRo+zH2LNnjzp27KjWrVsrKytLAwcO1IMPPqjVq1e7NDski2EYhtkhSiNrmUpmRzCFv185syOYws9iNTuCKYJ9w82OYAp/BZodwRQVbRFmRzBFtTIhZkcwRdVg7xx+Ws7PZnYEU9SvcNjsCKZoXGOX2RFMET4uxuwIpghOWGp2hGL59IZbi7XfjV8scXKSM/78809FRETo008/VYsWLSRJR44cUUhIiNLT09W2bVutXLlSN998s37//XdFRUVJkmbOnKlhw4bpjz/+kL+/v4YNG6bly5dr27Zt9mPffffdOnTokFatWuWS7DiDkQAAAAAA4KEMWYq1FBYWKj8/32EpLCz8n/NUrFhRNWvW1JtvvqmCggKdPn1ar776qiIjI9W4cWNJUkZGhurVq2cvAEhScnKy8vPztX37dnubtm3bOhw7OTlZGRkZ/3NGXBxFAAAAAADwUMW9HSA1NVWhoaEOS2pq6v+cx2Kx6JNPPtHWrVtVrlw5BQQEaPLkyVq1apXCwsIkSTk5OQ4FAEn2n8/eMnChNvn5+Tp+/Pj/nBMXRhEAAAAAADxUcScGHDFihA4fPuywjBgx4oKvM3z4cFkslosuO3fulGEY6tu3ryIjI/XZZ59p06ZN6ty5s2655Rbt37/fjf9nUFw8IhAAAAAAPFRxJ/mzWq2yWi9/3qohQ4aoe/fuF22TkJCgtWvXatmyZcrLy1NIyJl5c6ZPn6709HTNnTtXw4cPV3R0tDZt2uSwb25uriQpOjra/u+z6/7eJiQkRIGB3jn/krtQBHARm/G/329TEp04dcrsCKYo4xtsdgRT+Pl454SI3joR5CmdvnSjUmj3Ke+cME0FoWYnMEWE1TsHSR456W92BFNUjP/N7AimCEh4zOwIuAKuftzfWREREYqIuPQkwMeOHZMk+fg4/r708fGRzXZmctWkpCSNHTtWBw4cUGRkpCQpPT1dISEhqlOnjr3NihUrHI6Rnp6upKSk/7kvuDjv/JsOAAAAAEoAT3tEYFJSksLCwtStWzd98803+uGHHzR06FD7I/8kqV27dqpTp47uv/9+ffPNN1q9erWeeuop9e3b1z46oXfv3tq9e7eeeOIJ7dy5U9OnT9fChQs1aNAgl2XHGRQBAAAAAMBD2WQp1uIq4eHhWrVqlY4ePaqbbrpJTZo00eeff64PPvhADRo0kCT5+vpq2bJl8vX1VVJSku677z498MADeuaZZ+zHiY+P1/Lly5Wenq4GDRpo0qRJmj17tpKTk12WHWdwOwAAAAAA4LI1adJEq1evvmibuLi4c4b7/1OrVq20detWZ0bDZaAIAAAAAAAeypVD++GdKAIAAAAAgIdy18SA8B4UAQAAAADAQzESAM5GEQAAAAAAPJTN7AAodSgCAAAAAICHYiQAnI0iAAAAAAB4KOYEgLNRBAAAAAAAD2WIIgCciyIAAAAAAHgoRgLA2SgCAAAAAICHshlmJ0BpQxEAAAAAADwUtwPA2SgCAAAAAICH4nYAOJuP2QEAAAAAAIB7MBIAAAAAADyUwZwAcDKKAAAAAADgoWzMCQAnowgAAAAAAB7KYE4AOBlFAAAAAADwUEwMCGejCAAAAAAAHoopAeBsFAEAAAAAwEMxEgDORhEAAAAAADyUzewAKHUoAgAAAACAh2JiQDgbRQAAAAAA8FDcDgBn8zE7AJzLz89PUVGRZsdwO+/ud4TZMdzOz89XkZEVzY7hdn5+voqIDDM7htv5+fmqYlSo2THczlv77evno/KR5cyO4XY+fj4KifC+fsO7nD5tU2HhadlsTHV3JYxiLsCFUAQoRQICArRs+UL9+tsO9e37kNlx3OZMv+fr19+2q2/fB82O4zYBAVYt/ShNe7I3q/ej3cyO4zYBAVbNX/KStu9epQd732l2HLexBvgr7f1ntfnnd9XtkX+bHcdtrAFlNG3pUK3Z/Yru7v1/ZsdxG2tAGb20dIg+3v2S7urd1uw4buMfUEZPLu6j134Yq/YP32h2HLcpE1BG/eb11rhtz6lVrxZmxwFc5rlnVura+s/r6837zI4CeDWKAKVEYGCgPvxovtq0aSlJmjJ1nPr3f9jkVK53pt/v/q3fqV7S7wC9v3SObrqpuSRp8otj9Gi/Hiancr3AQKvefe9FtWzdVJKU+sJQPfzo3Sancr2AQKvmLB6j5q2vlSSNeaGPevTpZHIq1wsI9NfL7z+u61vXlSQNn9RN9z6abHIq1wsI9NfU9wcrsfU1kqQnJt2vex4t/QUQ/8AyGrHwEdVvVVOS1GvCHfpX75Ymp3K9MoFl9Og7D6vWjWf6fefzd6j1Q6W/3wAun82wFGtxpbFjx6pZs2YKCgpS+fLlz9smOztbHTt2VFBQkCIjIzV06FCdPn3aoc369evVqFEjWa1WVa9eXWlpaecc55VXXlG1atUUEBCgxMREbdq0yQU98i4UAUqBoKAgfbRsvlq3biGb7cz8oTabTZNfTNVjjz1icjrXOdPveefp99hS3u9ALfkgTa1aN3Po9wuTUtS3f0+T07lOUFCA5r0/VS1aXufQ77EThuiRR+8xOZ3rBAZZlfbeM2rWsqFDv1Mm9FbPRzubG86FAoKsmvb+UDVteY1Dv5+YeL+69i29hYCAoDMFgOta1nHo9+MT79M9fduZnM51rEH+enJRb9W98WqHfvcYd7v+1aeVueFcyD/IX33feUQ1mzv2u8tzt6n1wxQCAJxhK+biSidPnlSXLl3Up0+f824vKipSx44ddfLkSW3cuFFz585VWlqaRo0aZW+zZ88edezYUa1bt1ZWVpYGDhyoBx98UKtXr7a3WbBggQYPHqyUlBRt2bJFDRo0UHJysg4cOODiHpZuFAFKuODgYC1bvkAtWzbXunWf6d13FkmShg8frby8Q5o0+XkNHHj+i7MkO9Pv+WrZ8oZ/9HvMf/r9nAYO7G1ySucLDg7S0g/TdGPL67V+3UbNe3eJJGnkk6nKyzusiS+MUv8BvUxO6XzBwYGav2SqbmjRWJ9t2KxF81dKksY89bIO5eXruQmD1bvfvSandL6g4AClvf+srm9RXxs3ZGnJ/LWSpNSn39DhvCMaNf4R9ep3q8kpnS8w2KpXlgxVkxtra9OG7Vo+/wtJ0pSn5is/r0BDJ9yv+/p3MDml8wUGW/XyksfV5Mba2rzhe62YnyFJeumphcrPK9DjE7qqa//SVwAJCPbXk4t765rmNbTt0x/02cKvJUlvj/pQRw8dU4/U23Rz39Ymp3Q+a5C/+r77iK6+oYZ2ff6DNi8+0++lz3yoY4eOqcuzt+mmR1qZGxKARzAMS7EWVxozZowGDRqkevXqnXf7xx9/rO+//15vv/22GjZsqA4dOujZZ5/VK6+8opMnT0qSZs6cqfj4eE2aNEm1a9dWv379dMcdd+jFF1+0H2fy5Ml66KGH1KNHD9WpU0czZ85UUFCQ3njjDZf2r7SjCFDCRUdHqnr1BK1Zs0Gd/n2Pjh07JknKzMxSh/a3Ky/vkBKvv87klM7n2O+uOnbsuKSz/b6j1PY7KjpC1avHa+3az3X7rT11/PgJSdKWzO90y7/uU17eYSUmNjI5pfNFRlVUwlVVtWHdJnW9Y5C931lbv9cd/+6nQ3n5ui7x/H8JlWQRUWGKv6qyPl+3VT27jNaJ44WSpO+2/KD7Oo3U4bwjatS0tskpnS88qryqVo/Wl+u26bHbJ+nEsTNvFr7fske9bxmn/LwCNWha3eSUzlcxKlRVq0fpq3XbNfD2F3Xi2Jnz/f2WPXr0lgnKzytQ/VLY7/KRIYpJiNC363cp9a5XVfif8/1zVrae7fyKjh46pquvq2ZuSBcIiQxRZEKEdn66S9Pvm6WTx09JkvZ984teunO6jh06poQm1cwNaQL/0GBVa1/6/v6+pMDy8qt/i9kp4KGKOxKgsLBQ+fn5DkthYaFbMmdkZKhevXqKioqyr0tOTlZ+fr62b99ub9O2reO8N8nJycrIOFMEP3nypDIzMx3a+Pj4qG3btvY2KB4eEVjC/fzzHt3YooNycg7oxIkTDtsyM7N0Q7N22r17rznhXOhMv/91gX5/oxuaJWv37tI36czun/epdavblJvzh06ccPwlvmXLd2rZorP27M42KZ3r7Nn9q/7VppcO5P51Tr+/2bpDya17aN+e30xK5zr7du/XbW0H64/cPBWeOOmw7butP6rzTYOUvWe/Selc55fduep20xj9lXtIhSdOOWz7fuse3dcqRb/tKX3DAH/dfUA9bnpWf+UePqffO7buVbdWY/Tbnj9MSuc6OXv+1FPJL+pQ7hGd/Ee/d2f9oifbTFLu3r9MSuc6f+z9Uy/cPEX5B47o1D/6nf3NL5rQYbL+3Ff6+n0prac+qqjGNWQtH6xd89ebHcdtAh+YLZ9qTaWgMJ3+8k2z48DDFPdb/dTUVI0ZM8ZhXUpKikaPHu2EVBeXk5PjUACQZP85Jyfnom3y8/N1/Phx5eXlqaio6Lxtdu7c6cL0pR8jAUqBvXuzz/kgfNaPP/6soqIiNydyj4v3e3ep7fe+vb+e80H4rJ9+3FNq+5297/cL9nv3T9mltt+/7ss9pwBw1p6fflNRkavv+jPH7/v+OOeD8FnZP+WU4n7/eZF+55bafh/Yd/CcAsBZ+3/+Q7ZS2u+/sg+eUwA468Du0tvvi9kydYlOHSvU9U/fp1r3lr7bQC6kcNU46WSBAm59XmWSupsdBx7GZhRvGTFihA4fPuywjBgx4oKvM3z4cFkslosufPguHRgJAAAAAI/wx9af9MnDL6rtqwOVOLKrJIt2vrvW7FguZ9v3tY6/3lWBvd6WtfNzksWiUxvnmB0LHsIo5n5Wq1VWq/Wy2w8ZMkTdu3e/aJuEhITLOlZ0dPQ5s/jn5ubat53999l1f28TEhKiwMBA+fr6ytfX97xtzh4DxeP1RYDjx48rMzNTFSpUUJ06dRy2nThxQgsXLtQDDzxw0WMUFhaec3+NYRiyWFw7IQcAAICna/58T4XXi7+ifQzbmY89iSPvVeHho9qzvOQ9Esx65xT5xja8sp3+85QIa6dnZRzL0+mspU7PhZLH1Y/7OysiIkIRERFOOVZSUpLGjh2rAwcOKDIyUpKUnp6ukJAQ+2eupKQkrVixwmG/9PR0JSUlSZL8/f3VuHFjrVmzRp07d5Z05gkqa9asUb9+/ZyS01t5dRHghx9+ULt27ZSdnS2LxaLmzZtr/vz5iomJkSQdPnxYPXr0uGQR4Hz321gsAfK1BLksOwAAQEkQHFNRoQkxxd4/IKycE9O4j0/5yvKJLP5knpbgik5Mg5LME28Mys7O1sGDB5WdfeaWzKysLElS9erVVbZsWbVr10516tTR/fffrwkTJignJ0dPPfWU+vbtax+d0Lt3b02bNk1PPPGEevbsqbVr12rhwoVavny5/XUGDx6sbt26qUmTJmratKmmTJmigoIC9ejRw4xulxpeXQQYNmyY6tatq6+//lqHDh3SwIEDdcMNN2j9+vWqWrXqZR9nxIgRGjx4sMO6CmHVnJwWAACg5FndY+IVtS9bOVzJcx5X2crh2jlvrXa8vcZFyVzr+KwuV9TeEharwIcXyqdCrE5uTNOpL153UTL32rvnL0VGlVNQkP8523788YCqVauoMmV8TUhWcrj6cX/FMWrUKM2dO9f+87XXXitJWrdunVq1aiVfX18tW7ZMffr0UVJSkoKDg9WtWzc988wz9n3i4+O1fPlyDRo0SFOnTlWVKlU0e/ZsJSf/93G4d911l/744w+NGjVKOTk5atiwoVatWnXOZIG4Ml5dBNi4caM++eQThYeHKzw8XB999JEeffRRtWjRQuvWrVNwcPBlHed899twKwAAAMCVKRcboXZzHlfZmIra8c4abXp+ntmR3MJSIU6BjyyUT/nKOvnFHJ388GmzIznF3j1/6b575yg+IVwzZ93rsC1r6y96qNc7appYTdOm38V754vwxJEAaWlpSktLu2ibuLi4c4b7/1OrVq20devWi7bp168fw/+dzKufDnD8+HH5+f23DmKxWDRjxgzdcsstatmypX744QcT0wEAAHiX5uMeVNmYivr+rU+8pgAgSQF3v3SmAPD566WmACBJUdEhurpmlDK/ztYjD76jgoIzc2hlZf2qh3q9o4KCk7qh+VUUAAA38+qRALVq1dLXX3+t2rVrO6yfNm2aJOnf//63GbEAAAC80ucjXld8x6b6dsYys6O41YkFA+TXsLNOrZlidhSnCgwso+kz71a/Rxdo4xe7pS2/SJKmTF4ri0UalfIv3X1vE5NTej6juI8HAC7Aq0cC3HrrrZo37/xV5mnTpumee+6RwVUHAADgFkeyD3hdAUCSjL/2lroCwFkBAWX0yoy71bz5VfZ1Fov0NAWAy2aTpVgLcCFeXQQYMWLERe9TmT59umw2T7wLBwAAACgZrFY/vTz9LrW4sbosFillTEfdfQ8FgMtlM4q3ABdiMfiq2yXK+HnrY128s65UxvfyJpEsbYLLOOdZsiVNsCXc7AimKG/zzt9rvvLOWasTyoSaHcEUEVbv/PYsMbzA7AimuP3mVWZHMEXg+PGmvG5RkU1HjxYqNDTQlNf3VVdTXvd/NTquf/H22/eyk5OgtPDqOQEAAAAAuIevr49pBYCSjKH9cDaKAAAAAADgoRi3DWejCAAAAAAAHooZyuBsFAEAAAAAwEMxyR+cjSIAAAAAAHgoagBwNooAAAAAAOChbAYTA8K5KAIAAAAAgIdiYkA4m3c+1B0AAAAAAC/ESAAAAAAA8FA8HQDORhEAAAAAADwUtwPA2SgCAAAAAICHYiQAnI0iAAAAAAB4KBsjAeBkFAEAAAAAwENRA4CzUQQAAAAAAA/FSAA4G0UAAAAAAPBQTAwIZ6MIAAAAAAAeiokB4WwUAQAAAADAQ3E7AJyNIgAAAAAAeChqAHA2H7MDAAAAAAAA96AIAAAAAAAeymYUb3GlsWPHqlmzZgoKClL58uXP2f7NN9/onnvuUWxsrAIDA1W7dm1NnTr1nHbr169Xo0aNZLVaVb16daWlpZ3T5pVXXlG1atUUEBCgxMREbdq0yQU98i4UAQAAAADAQxlG8RZXOnnypLp06aI+ffqcd3tmZqYiIyP19ttva/v27Ro5cqRGjBihadOm2dvs2bNHHTt2VOvWrZWVlaWBAwfqwQcf1OrVq+1tFixYoMGDByslJUVbtmxRgwYNlJycrAMHDri2g6WcxTB46IQrlPGraHYEk3hnXamMb7DZEUwRXCbC7AimCLaEmx3BFOVt3vl7zVe+ZkcwRUKZULMjmCLCajE7gikSwwvMjmCK229eZXYEUwSOH292BFP4qqvZEYqle/iAYu336m8TVFhY6LDOarXKarU6I5YkKS0tTQMHDtShQ4cu2bZv377asWOH1q5dK0kaNmyYli9frm3bttnb3H333Tp06JBWrTpzbSYmJuq6666zFw9sNptiY2PVv39/DR8+3Gn98Dbe+YkNAAAAAEqA4t4OkJqaqtDQUIclNTXVtH4cPnxYFSpUsP+ckZGhtm3bOrRJTk5WRkaGpDOjDTIzMx3a+Pj4qG3btvY2KB6eDgAAAAAAHqq4w7ZHjBihwYMHO6xz5iiAK7Fx40YtWLBAy5cvt6/LyclRVFSUQ7uoqCjl5+fr+PHjysvLU1FR0Xnb7Ny50y25SytGAgAAAACAhyruSACr1aqQkBCH5WJFgOHDh8tisVx0Kc6H723btqlTp05KSUlRu3bt/pf/FXASRgIAAAAAgIdy1wxuQ4YMUffu3S/aJiEh4YqO+f3336tNmzZ6+OGH9dRTTzlsi46OVm5ursO63NxchYSEKDAwUL6+vvL19T1vm+jo6CvKAUcUAQAAAADAQ9nc9DoRERGKiHDepM/bt2/XTTfdpG7dumns2LHnbE9KStKKFSsc1qWnpyspKUmS5O/vr8aNG2vNmjXq3LmzpDMTA65Zs0b9+vVzWk5vRBHARU4X5ZsdwRSnjTSzIwAAAFym1mYHAC7J5oEPc8vOztbBgweVnZ2toqIiZWVlSZKqV6+usmXLatu2bbrpppuUnJyswYMHKycnR5Lk6+trLzT07t1b06ZN0xNPPKGePXtq7dq1WrhwocO8AYMHD1a3bt3UpEkTNW3aVFOmTFFBQYF69Ojh9j6XJhQBAAAAAMBDeV4JQBo1apTmzp1r//naa6+VJK1bt06tWrXS4sWL9ccff+jtt9/W22+/bW8XFxenvXv3SpLi4+O1fPlyDRo0SFOnTlWVKlU0e/ZsJScn29vfdddd+uOPPzRq1Cjl5OSoYcOGWrVq1TmTBeLKWAzDA0tLpYDFUsbsCKZgJAAAAAA8ka+6mh2hWG4PfaxY+713+CUnJ0FpwdMBAAAAAADwEtwOAAAAAAAeyvDIGwJQklEEAAAAAAAPZaMGACejCAAAAAAAHspdjwiE96AIAAAAAAAeinnc4WwUAQAAAADAQzESAM5GEQAAAAAAPBQjAeBsFAEAAAAAwEMxEgDORhEAAAAAADyUjZEAcDKKAAAAAADgoQxRBIBzUQQAAAAAAA/F7QBwNooAAAAAAOChbIwEgJP5mB0AAAAAAAC4ByMBAAAAAMBDMTEgnI0iAAAAAAB4KCYGhLNRBAAAAAAAD8WcAHA2igAAAAAA4KEoAsDZKAIAAAAAgIfidgA4G0UAAAAAAPBQjASAs1EEAAAAAAAPZbPYzI6AUoYiAAAAAAB4KEYCwNkoAgAAAACAhzLESAA4l4/ZAeBcfn5+ioqKMjsGAAAAACewySjWAlwIRYBSJCAgQCtXLlNOzq/q16+v2XEAAAAAbfpqr0Y99ZFu/td0XX/dBNW/5jklJU7UXXfM1nPPrNTGjbtlGHxoLUnGjh2rZs2aKSgoSOXLl79o27/++ktVqlSRxWLRoUOHHLatX79ejRo1ktVqVfXq1ZWWlnbO/q+88oqqVaumgIAAJSYmatOmTc7riJeiCFBKBAYGavnyD9W2bRtJ0ssvT9Fjj/U3ORUAAAC8Vd7BY3qo19vq/sCbWrxoqwqOFuraRrFKbl9HDRtW0V8HC/TuO5v1YI+3dcdtr5kd12PZLLZiLa508uRJdenSRX369Llk2169eql+/frnrN+zZ486duyo1q1bKysrSwMHDtSDDz6o1atX29ssWLBAgwcPVkpKirZs2aIGDRooOTlZBw4ccGp/vI3FoOzmEhZLGbe9VlBQkJYv/1CtWrWUzWaTj4+P/d8DBw7R1KkvuS3LaSPNba8FAAAAz5Sff0L33Pm69uz5SwkJ4Xo6pYMSr48/p92PPxzQ3LQvtXLFdmVmjXBpJl91denxXaVu2buLtd+2o/OdnORcaWlpGjhw4Dnf8J81Y8YMLViwQKNGjVKbNm2Ul5dnHzkwbNgwLV++XNu2bbO3v/vuu3Xo0CGtWrVKkpSYmKjrrrtO06ZNkyTZbDbFxsaqf//+Gj58uEv7VpoxEqCECw4O1sqVy9SqVUutXbtOb7/9riTpiSeGKy8vT1OmTNKgQQPNDQkAAACvMvbZldqz5y/Fxobpnfk9zlsAkKQaV0fquef/rTlvPuDmhCWHrZj/FBYWKj8/32EpLCx0W+7vv/9ezzzzjN588035+Jz7sTMjI0Nt27Z1WJecnKyMjAxJZ0YbZGZmOrTx8fFR27Zt7W1QPBQBSrjo6GjVqFFdn3yyRjff3EnHjh2TJH39dab+7/86KC8vT0lJiSanBAAAgLfIzj6o5cvOfLs7bEQ7hYYGXnKf+vUruzpWiVW8aQFtSk1NVWhoqMOSmprqlsyFhYW65557NHHiRFWtWvW8bXJycs6Z0DwqKkr5+fk6fvy4/vzzTxUVFZ23TU5OjsuyewMeEVjC/fzzz2rW7Ebl5OToxIkTDtsyMzOVmHiDdu/ebVI6AAAAeJsN636UzWYoJDRArVpfbXacEq+49/ePGDFCgwcPdlhntVov2H748OEaP378RY+5Y8cO1apV67Jeu3bt2rrvvvsuLyzciiJAKbB3794Lbvvxxx/dFwQAAABeb/v2/ZKkOnVi5ONjMTlNyWdT8YoAVqv1oh/6/2nIkCHq3r37RdskJCRc1rHWrl2r7777TosXL5Yk+9MfwsPDNXLkSI0ZM0bR0dHKzc112C83N1chISEKDAyUr6+vfH19z9smOjr6MnuF86EIAAAAAMBp8vLO3J5aoULQebfv3JmjN9O+Omf97Xdcq8ZNzj903JsZKnLL60RERCgiIsIpx3rvvfd0/Phx+8+bN29Wz5499dlnn+mqq66SJCUlJWnFihUO+6WnpyspKUmS5O/vr8aNG2vNmjXq3LmzpDMTA65Zs0b9+vVzSk5v5fVFgB07dujLL79UUlKSatWqpZ07d2rq1KkqLCzUfffdp5tuuumSxygsLDzPJBuGJCqfAAAAwN/l7M/X0iXfnLP+uqZxFAHOo7gjAVwpOztbBw8eVHZ2toqKipSVlSVJql69usqWLWv/oH/Wn3/+KUmqXbu2/ekAvXv31rRp0/TEE0+oZ8+eWrt2rRYuXKjly5fb9xs8eLC6deumJk2aqGnTppoyZYoKCgrUo0cPt/SztPLqIsCqVavUqVMnlS1bVseOHdOSJUv0wAMPqEGDBrLZbGrXrp0+/vjjSxYCUlNTNWbMmH+stUjydVl2AAAAwBOFhZ0ZAXDw4LHzbm/V+mp9v2uU/eee3d/Slxl73JKtJPLEIsCoUaM0d+5c+8/XXnutJGndunVq1arVZR0jPj5ey5cv16BBgzR16lRVqVJFs2fPVnJysr3NXXfdpT/++EOjRo1STk6OGjZsqFWrVp0zWSCujFc/HeCZZ57R0KFD9ddff2nOnDm699579dBDDyk9PV1r1qzR0KFDNW7cuEseZ8SIETp8+LDD4uX/awEAAOCl6tQ5c7/299/vl81mmJym5DNUVKzFldLS0mQYxjnLhQoArVq1kmEY9lEAf1+/detWFRYW6ueffz7vnAT9+vXTvn37VFhYqK+++kqJiTz57H/l1Z9Ut2/fbv+Dduedd+rIkSO644477Nu7du2qb7/99pLHsVqtCgkJcVi4FQAAAADeqGXrq+XjY1H+4RP6dAOTVP+vbMX8B7gQry4CSJLFcubDuo+PjwICAhQaGmrfVq5cuf98qw8AAADgcsTFVVCHf10jSRo/7mMdOXLiEnsAcCevLgJUq1bN4RF6GRkZqlr1v5ORZGdnKyYmxoxoAAAAQIn11KgOqhpXQfv2HtS9d8/R5k17z9vut18PKTcn373hShhDtmItwIV49cSAffr0UVHRf++XqVu3rsP2lStXXtbTAQAAAAD8V2hooN6Z10NDh7yvLzP2qNv9byo6OkS1akepXLkAFRae1r69B/XDD7kyDOnqqyNVt24ls2N7JJubHhEI7+HVRYDevXtfdPvzzz/vpiQAAABA6VKxYrDeSLtfGRm7tfyjbdq65Rd9vTlbJ06cUlCwv6pUCVOXOxurXfvauv76ePn4MKfW+fCtPpzNYhgGU3a6gMVSxuwIpjhtpJkdAQAAADiHr7qaHaFYoso2K9Z+uUc3OjkJSguvHgkAAAAAAJ6MkQBwNooAAAAAAOChDOYEgJNRBAAAAAAAD2UzGAkA56IIAAAAAAAeitsB4GwUAQAAAADAQxkGtwPAuSgCAAAAAICHsjESAE5GEQAAAAAAPJTBnABwMh+zAwAAAAAAAPdgJAAAAAAAeCgeEQhnowgAAAAAAB6K2wHgbBQBAAAAAMBD8YhAOBtFAAAAAADwUDwiEM5GEQAAAAAAPBS3A8DZKAIAAAAAgIfidgA4G0UAAAAAAPBQjASAs1EEAAAAAAAPxUgAOBtFAAAAAADwUEwMCGfzMTsAAAAAAOBCbMVcXGfs2LFq1qyZgoKCVL58+Qu2S0tLU/369RUQEKDIyEj17dvXYfu3336rFi1aKCAgQLGxsZowYcI5x1i0aJFq1aqlgIAA1atXTytWrHB2d7wORQAAAAAAwGU7efKkunTpoj59+lywzeTJkzVy5EgNHz5c27dv1yeffKLk5GT79vz8fLVr105xcXHKzMzUxIkTNXr0aM2aNcveZuPGjbrnnnvUq1cvbd26VZ07d1bnzp21bds2l/avtLMYhmGYHaI0sljKmB3BFKeNNLMjAAAAAOfwVVezIxSLn29YsfY7XZTn5CTnSktL08CBA3Xo0CGH9Xl5eapcubI++ugjtWnT5rz7zpgxQyNHjlROTo78/f0lScOHD9fSpUu1c+dOSdJdd92lgoICLVu2zL7f9ddfr4YNG2rmzJmu6ZQXYCQAAAAAAHgoQ7ZiLYWFhcrPz3dYCgsL3ZI5PT1dNptNv/32m2rXrq0qVarozjvv1C+//GJvk5GRoRtvvNFeAJCk5ORk7dq1S3l5efY2bdu2dTh2cnKyMjIy3NKP0ooiAAAAAAB4rOLNCZCamqrQ0FCHJTU11S2Jd+/eLZvNpueff15TpkzR4sWLdfDgQf3f//2fTp48KUnKyclRVFSUw35nf87Jyblom7PbUTwUAQAAAADAUxm2Yi0jRozQ4cOHHZYRI0Zc8GWGDx8ui8Vy0eXsMP1LsdlsOnXqlF566SUlJyfr+uuv17x58/Tjjz9q3bp1zvo/g2LiEYEAAAAA4KGMYs70b7VaZbVaL7v9kCFD1L1794u2SUhIuKxjxcTESJLq1KljXxcREaHw8HBlZ2dLkqKjo5Wbm+uw39mfo6OjL9rm7HYUD0UAAAAAAPBYrn3c31kRERGKiIhwyrFuuOEGSdKuXbtUpUoVSdLBgwf1559/Ki4uTpKUlJSkkSNH6tSpUypT5syk6unp6apZs6bCwsLsbdasWaOBAwfaj52enq6kpCSn5PRW3A4AAAAAAJ7KMIq3uFB2draysrKUnZ2toqIiZWVlKSsrS0ePHpUkXX311erUqZMGDBigjRs3atu2berWrZtq1aql1q1bS5Luvfde+fv7q1evXtq+fbsWLFigqVOnavDgwfbXGTBggFatWqVJkyZp586dGj16tL7++mv169fPpf0r7XhEoIvwiEAAAADAc5TURwQW93OFYZxycpL/6t69u+bOnXvO+nXr1qlVq1aSpPz8fA0aNEjvv/++fHx81LJlS02dOlWxsbH29t9++6369u2rzZs3Kzw8XP3799ewYcMcjrlo0SI99dRT2rt3r2rUqKEJEyboX//6l8v65hUMlConTpwwUlJSjBMnTpgdxa3oN/32BvSbfnsD+k2/vQH99q5+A56GkQClTH5+vkJDQ3X48GGFhISYHcdt6Df99gb0m357A/pNv70B/faufgOehjkBAAAAAADwEhQBAAAAAADwEhQBAAAAAADwEhQBShmr1aqUlBRZrVazo7gV/abf3oB+029vQL/ptzeg397Vb8DTMDEgAAAAAABegpEAAAAAAAB4CYoAAAAAAAB4CYoAAAAAAAB4CYoAAAAAAAB4CYoAAAAAAAB4CYoApcgrr7yiatWqKSAgQImJidq0aZPZkVzu008/1S233KJKlSrJYrFo6dKlZkdyi9TUVF133XUqV66cIiMj1blzZ+3atcvsWC43Y8YM1a9fXyEhIQoJCVFSUpJWrlxpdiy3GjdunCwWiwYOHGh2FJcbPXq0LBaLw1KrVi2zY7ncb7/9pvvuu08VK1ZUYGCg6tWrp6+//trsWC5XrVq1c863xWJR3759zY7mMkVFRXr66acVHx+vwMBAXXXVVXr22WflDQ9uOnLkiAYOHKi4uDgFBgaqWbNm2rx5s9mxnO5S71MMw9CoUaMUExOjwMBAtW3bVj/++KM5YZ3oUv1+//331a5dO1WsWFEWi0VZWVmm5AS8FUWAUmLBggUaPHiwUlJStGXLFjVo0EDJyck6cOCA2dFcqqCgQA0aNNArr7xidhS32rBhg/r27asvv/xS6enpOnXqlNq1a6eCggKzo7lUlSpVNG7cOGVmZurrr7/WTTfdpE6dOmn79u1mR3OLzZs369VXX1X9+vXNjuI211xzjfbv329fPv/8c7MjuVReXp5uuOEGlSlTRitXrtT333+vSZMmKSwszOxoLrd582aHc52eni5J6tKli8nJXGf8+PGaMWOGpk2bph07dmj8+PGaMGGCXn75ZbOjudyDDz6o9PR0vfXWW/ruu+/Url07tW3bVr/99pvZ0ZzqUu9TJkyYoJdeekkzZ87UV199peDgYCUnJ+vEiRNuTupcl+p3QUGBmjdvrvHjx7s5GQBJkoFSoWnTpkbfvn3tPxcVFRmVKlUyUlNTTUzlXpKMJUuWmB3DFAcOHDAkGRs2bDA7ituFhYUZs2fPNjuGyx05csSoUaOGkZ6ebrRs2dIYMGCA2ZFcLiUlxWjQoIHZMdxq2LBhRvPmzc2O4REGDBhgXHXVVYbNZjM7ist07NjR6Nmzp8O62267zejatatJidzj2LFjhq+vr7Fs2TKH9Y0aNTJGjhxpUirX++f7FJvNZkRHRxsTJ060rzt06JBhtVqNefPmmZDQNS72/mzPnj2GJGPr1q1uzQR4O0YClAInT55UZmam2rZta1/n4+Ojtm3bKiMjw8RkcJfDhw9LkipUqGByEvcpKirS/PnzVVBQoKSkJLPjuFzfvn3VsWNHh+vcG/z444+qVKmSEhIS1LVrV2VnZ5sdyaU+/PBDNWnSRF26dFFkZKSuvfZavfbaa2bHcruTJ0/q7bffVs+ePWWxWMyO4zLNmjXTmjVr9MMPP0iSvvnmG33++efq0KGDyclc6/Tp0yoqKlJAQIDD+sDAwFI/2ufv9uzZo5ycHIff66GhoUpMTOT9GwCX8jM7AP53f/75p4qKihQVFeWwPioqSjt37jQpFdzFZrNp4MCBuuGGG1S3bl2z47jcd999p6SkJJ04cUJly5bVkiVLVKdOHbNjudT8+fO1ZcuWUnm/7MUkJiYqLS1NNWvW1P79+zVmzBi1aNFC27ZtU7ly5cyO5xK7d+/WjBkzNHjwYD355JPavHmzHnvsMfn7+6tbt25mx3ObpUuX6tChQ+revbvZUVxq+PDhys/PV61ateTr66uioiKNHTtWXbt2NTuaS5UrV05JSUl69tlnVbt2bUVFRWnevHnKyMhQ9erVzY7nNjk5OZJ03vdvZ7cBgCtQBABKuL59+2rbtm1e8+1JzZo1lZWVpcOHD2vx4sXq1q2bNmzYUGoLAb/88osGDBig9PT0c741K+3+/m1o/fr1lZiYqLi4OC1cuFC9evUyMZnr2Gw2NWnSRM8//7wk6dprr9W2bds0c+ZMryoCvP766+rQoYMqVapkdhSXWrhwod555x29++67uuaaa5SVlaWBAweqUqVKpf58v/XWW+rZs6cqV64sX19fNWrUSPfcc48yMzPNjgYApR63A5QC4eHh8vX1VW5ursP63NxcRUdHm5QK7tCvXz8tW7ZM69atU5UqVcyO4xb+/v6qXr26GjdurNTUVDVo0EBTp041O5bLZGZm6sCBA2rUqJH8/Pzk5+enDRs26KWXXpKfn5+KiorMjug25cuX19VXX62ffvrJ7CguExMTc05Bq3bt2qX+Noi/27dvnz755BM9+OCDZkdxuaFDh2r48OG6++67Va9ePd1///0aNGiQUlNTzY7mcldddZU2bNigo0eP6pdfftGmTZt06tQpJSQkmB3Nbc6+R+P9GwB3owhQCvj7+6tx48Zas2aNfZ3NZtOaNWu84l5pb2QYhvr166clS5Zo7dq1io+PNzuSaWw2mwoLC82O4TJt2rTRd999p6ysLPvSpEkTde3aVVlZWfL19TU7otscPXpUP//8s2JiYsyO4jI33HDDOY/7/OGHHxQXF2dSIvebM2eOIiMj1bFjR7OjuNyxY8fk4+P4VszX11c2m82kRO4XHBysmJgY5eXlafXq1erUqZPZkdwmPj5e0dHRDu/f8vPz9dVXX/H+DYBLcTtAKTF48GB169ZNTZo0UdOmTTVlyhQVFBSoR48eZkdzqaNHjzp8K7hnzx5lZWWpQoUKqlq1qonJXKtv375699139cEHH6hcuXL2ewdDQ0MVGBhocjrXGTFihDp06KCqVavqyJEjevfdd7V+/XqtXr3a7GguU65cuXPmeggODlbFihVL/RwQjz/+uG655RbFxcXp999/V0pKinx9fXXPPfeYHc1lBg0apGbNmun555/XnXfeqU2bNmnWrFmaNWuW2dHcwmazac6cOerWrZv8/Er/W5RbbrlFY8eOVdWqVXXNNddo69atmjx5snr27Gl2NJdbvXq1DMNQzZo19dNPP2no0KGqVatWqXvfcqn3KQMHDtRzzz2nGjVqKD4+Xk8//bQqVaqkzp07mxfaCS7V74MHDyo7O1u///67JNmLn9HR0YyCANzB7McTwHlefvllo2rVqoa/v7/RtGlT48svvzQ7ksutW7fOkHTO0q1bN7OjudT5+izJmDNnjtnRXKpnz55GXFyc4e/vb0RERBht2rQxPv74Y7NjuZ23PCLwrrvuMmJiYgx/f3+jcuXKxl133WX89NNPZsdyuY8++sioW7euYbVajVq1ahmzZs0yO5LbrF692pBk7Nq1y+wobpGfn28MGDDAqFq1qhEQEGAkJCQYI0eONAoLC82O5nILFiwwEhISDH9/fyM6Otro27evcejQIbNjOd2l3qfYbDbj6aefNqKiogyr1Wq0adOmVPz5v1S/58yZc97tKSkppuYGvIXFMAzDTfUGAAAAAABgIuYEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS1AEAAAAAADAS/w/GdRY0xAggdUAAAAASUVORK5CYII=\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {},
"execution_count": 147
}
],
"source": [
"# @title epsilon = 0.9\n",
"# Optimal reward for Cliff Walking (assuming shortest path is 13 steps)\n",
"optimal_reward = -13 # Best case scenario\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 400# 50,n = 1\n",
"n = 1\n",
"discount = 0.999\n",
"alpha = 0.2\n",
"max_step = 1000\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.9)\n",
"\n",
"\n",
"#env, n_episodes, n, alpha, discount, max_step, epsilon=0.1\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, sarsa, epsilon_greedy)\n",
"value_sarsa, reward_sums_sarsa = results\n",
"\n",
"# Initialize lists to track regret\n",
"regret_sums_sarsa = []\n",
"\n",
"# Compute regret for each episode\n",
"regret_sums_sarsa = [optimal_reward - r for r in reward_sums_sarsa]\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_sarsa)\n",
"print(f\"\\nSARSA mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"plot_performance(env, value_sarsa, reward_sums_sarsa)\n",
"\n",
"# Plot regret\n",
"plot_regret(regret_sums_sarsa, show=True)\n",
"\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'SARSA', value_sarsa)\n"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "zVe30cOO45cc",
"outputId": "53c4cb54-9379-47ae-a3b4-ca88080cf6f7"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Fast Decay\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"Fast Decay SARSA mean_reward = -17.00 +/- 0.0000\n",
"Medium Decay\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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ard5d9Ft4sLtQhccZV58YHqAzO8XUDyeIbtXSdAAAOFtz70O9J/IHAABOtX5fsT5etVf/W53TaK6BxPAAXdQ7SaN6t1O3xJM/3A4N8NNZGTE6KyNGUt0Edtv2l9mHK6zceUj7S6uUmRpZFwx0ilF6TLDHL8UIAEBzERQAANCG7S2s0CfZe/XJqhxtzCuxvx4a4KuRPRI1qk879e8Q1abHNJtMJnWMDVHH2BBdnpns7nIAAHA6ggIAAI4jt6hS2bsLtWZPoQ6WVatTXIi6J4apa2KYooL93V1eizVMSvjRqr1atv2g/XV/H7OGdI3TqD5JOqdLnNNWJQAAAJ6NoAAAgMMUVdRo7Z4ird5TaA8H8oqrjto+Psyibolh6poQpm6JoeqWGKb0mGD5+njWrPbHmpTw9PQojerdTuedmqjwoJNvzgEAANAyBAUAgDarssaqX/cVa83uQq3eU6TVuwu1bX/ZEe18zCZ1jg9V75RwxYZYtDGvRBtyS7TzQHn9OvAFWryxwN7e39eszvEh9eFBfYCQEKZIF/c+ON6khKP6tNNFvZKUFBHo0roAAIBnIygAALQJVpuhrQWlyt5dqNW7C7VmT5HW7ytWre3IxX9So4PUMzlCvZLD1TslQqckhSvQ/8hu+KVVtdqYW6z1+0q0fl+xNuSWaMO+YpVVW7Vub7HW7S1u1D4hLEBd63sddEsMU7eEUKUdo/eB1WaotKpWZVW1Km14VNb9XHLY89Lfvd/wPK+4UvtLq+37SwwP0MW922lUnyR1TTj5JyUEAACtw/KIbsLyiADgXDmFFfZQIHt3odbtLVJZtfWIdjEh/uqVHFEXDKSEq1dyxAl982+zGdp9qPyw8KAuSNh1sLzJ9g29D0ItfvZQoKT+1/Im6m2psABfjeyZqIt7MykhAABtXXPvQwkK3ISgAAAczzAM/bD1gF5avFXfbdl/xPvB/j46tV1dL4FeKRHqmRyudhGBLlnWrqH3wa/76nodNPRAaE4Y4OdjUmiAn4ItPgqx+CnE4qMQi69CAn57HmzxVYjFV6EBhz/306ntwmTxZVJCAADQ/PtQhh4AALye1Wboy19yNXvJVq3ZUyRJMpukU5LC1TM5XL1SItQ7JUIdY0Pk46Zv1EMsvspMjVJmapT9tcN7H1RbbfU3/X51IYDFVyEBvgq2+HCjDwAAXIqgAADgtapqrfrvyr165Ztt2l4/CWGAn1ljTmuv689KU0pUkJsrPDaz2aTU6GClRge7uxQAAAA7ggIAgNcpqazRv3/apde/2678krqlC8MD/TQ2K1Vjz+ig6BCLmysEAADwXgQFAACvkV9SqTe+36G3f9xpX+ovMTxA15+Vpiv7t1ewhX/WAAAAThT/owIANMvjX27U3LX7dEpSmPqlRiozNUrdEkOPurSfI+3YX6ZXvt2mD1bsUXWtTZLUKS5EN52drot7t5O/r/NrAAAAaCsICgAAx3WgtEqzl2xVrc3Q9v1l+mzNPklSoJ+PeqdEKDM1UpkdItU3JVLhQX4OO+66vUWavWSrPl+7T7b6NXr6tI/QLYM6ali3eJb6AwAAcAKCAgDAcX22Zp9qbYY6x4fool5JWr7zkFbuPKTiylot3XZAS7cdsLfNiAtRvw6R6ts+UpmpkUqLCW7R8oOGYWjp1gN6aclWfbv5tyUOB3eJ1c2DOqp/WpRLljMEAABoqwgKAADH9dGqvZKkMae113VnpUmqW9pvS0GpVuw8ZH9s31+mzfml2pxfqv8s2y1Jigr2V9/2kerXoS446NEuXAF+Ry73Z7UZ+qp+icPV9Usc+phNuqBnom46u6O6Jx19rV8AAAA4DkEBAOCYthWUKnt3oXzMJl3YK8n+utlsUuf4UHWOD9WV/dtLqhuisHJXoZbvPKiVOw9p9Z4iHSyr1tfr8/T1+jxJkp+PSae2C1dmfY+DnikR+m5zgV5esk3b6pc4tPiaNfq0FI0fmO7xSxwCAACcbAgKAADH9HF9b4KBGTGKDT32soPRIRb9oXu8/tA9XpJUXWvTupwirdx5SMt3HNLynYe0v7RKq3YVatWuQr323fZG24cF+GrsGR009owOimGJQwAAALcgKAAAHJVhGPoouy4ouKRPuxZv7+9rVt/2dfMV3DCwbn97DlVo+c6D9cMVCrUht1jxoQG6YWCaxvRvrxCWOAQAAHAr/jcGADiqFTsPaffBCgX7++jc7gknvD+TyaSUqCClRAXpkj7JkqTKGqv8fcysYAAAAOAhCAoAAEfVMInhiFMTFeh/5ASEjtDUxIYAAABwH7O7CwAAeKaqWqs+W7NPknRp35YPOwAAAIB3IigAADRp0YYCFVXUKD7MotPTo91dDgAAAFyEoAAA0KSG1Q5G9W4nH+YPAAAAaDMICgAARygqr9HCDfmSpFGtWO0AAAAA3ougAABwhM/W5qjaalPXhFB1SwxzdzkAAABwIYICAMARGoYdMIkhAABA20NQAABoZPfBcv2845BMJumiXgQFAAAAbQ1BAQCgkYbeBGd2jFFCeICbqwEAAICrERQAAOwMw9BH9UHBJUxiCAAA0CYRFAA4qZRV1eqT7L3afbDc3aV4pdV7irRtf5kC/MwafmqCu8sBAACAG/i6uwAAcBTDMDThnZVavLFAkpSZGqlRvZN0fo9ERYdY3Fydd2gYdjD8lASFWPgnAgAAoC3if4EAThr/+nGnFm8skK/ZJKthaMXOQ1qx85Ae/PRXnZ0Ro4t7t9MfuscrmBvgJtVYbfp0dY4kaRTDDgAAANqsk2bowY4dO3T99dcrLS1NgYGB6tixo6ZPn67q6upG7dasWaOBAwcqICBAKSkpmjVr1hH7ev/999W1a1cFBASoR48e+vzzzxu9bxiGpk2bpsTERAUGBmrYsGHavHmzU88PwLFtyS/Rw3PXS5LuG9lNP04dqvtHdlPP5HBZbYYWbSzQHXOy1e+hr/WX/6zSgvV5qrHa3Fy1Z/l2c4EOlFUrJsSigZ1i3F0OAAAA3OSkCQo2bNggm82ml19+Wb/88oueeuopzZ49W/fee6+9TXFxsc4991ylpqZqxYoVeuyxx/Tggw/qlVdesbf54YcfdOWVV+r666/XqlWrNGrUKI0aNUrr1q2zt5k1a5aeffZZzZ49Wz/99JOCg4M1fPhwVVZWuvScAdSprrXp9nezVVVr09mdYzU2q4PiwwJ0w8B0/e/Ws7Rg8iDdPjRDHaKDVFFj1f9W5+j6t5ar/8Nf676P1urnHQdlsxnuPg23++/KumEHF/VKkq/PSfPPAwAAAFrIZBjGSfu/48cee0wvvfSStm3bJkl66aWXdN999yk3N1f+/v6SpClTpujjjz/Whg0bJEmjR49WWVmZPvvsM/t+Tj/9dPXu3VuzZ8+WYRhKSkrS5MmTdeedd0qSioqKFB8frzfffFNjxoxpVm3FxcUKDw9XUVGRwsLCHHnaQJvzyBcbNHvJVkUG+enLO85WXFjTS/oZhqE1e4r0cfZefbp6n/aXVtnfaxcRqIt6J+ni3knqmtD2PpPFlTU67aGvVVVr06e3nqUeyeHuLgkAAAAO1tz70JP6K6OioiJFRUXZf166dKnOPvtse0ggScOHD9fGjRt16NAhe5thw4Y12s/w4cO1dOlSSdL27duVm5vbqE14eLgGDBhgb9OUqqoqFRcXN3oAOHFLtx7Qy99slSTNvLTnUUMCSTKZTOqVEqHpF56iH6cO0b+u76/LM5MVYvHV3sIKvbR4q0Y8/a1GPP2NXly8RXsOtZ2VE+aty1VVrU2d4kJ0aru2F5QAAADgNydtULBlyxY999xzuummm+yv5ebmKj4+vlG7hp9zc3OP2ebw9w/frqk2TZk5c6bCw8Ptj5SUlFaeGYAGRRU1mvxetgxDGt0vRSNasJyfr49ZAzNi9fgVvbT8/mF68aq+Ord7vPx9zNqQW6JZ8zbqrEcX6YrZP+jtH3fqYFn18XfqxT6qH3ZwSZ92MplMbq4GAAAA7uTxU39PmTJFjz766DHbrF+/Xl27drX/vHfvXo0YMUJXXHGFxo8f7+wSm2Xq1KmaNGmS/efi4mLCAuAETftknXKKKpUaHaRpF3Zv9X4C/Hx0fo9End8jUUXlNfpi3T59kp2jH7cf0M87DunnHYf04P9+Ub8OkUqODFJCWIDiwwOUEBagxPAAxYcFKDrYX2azd95g5xRW6MftByRJF/dOcnM1AAAAcDePDwomT56scePGHbNNenq6/XlOTo4GDx6sM844o9EkhZKUkJCgvLy8Rq81/JyQkHDMNoe/3/BaYmJioza9e/c+ao0Wi0UWC+u4A47ySfZefZKdIx+zSU+N7u2wJQ/Dg/w0pn97jenfXvuKKvTZ6n36OHuvfskp1o/bDko62OR2fj4mxYUGKKE+QIhvCBHqf64LFyyy+Po4pE5H+iQ7R4YhDUiLUnJkkLvLAQAAgJt5fFAQGxur2NjYZrXdu3evBg8erMzMTL3xxhsymxuPrMjKytJ9992nmpoa+fn5SZLmz5+vLl26KDIy0t5mwYIFuuOOO+zbzZ8/X1lZWZKktLQ0JSQkaMGCBfZgoLi4WD/99JNuueWWEzxbAM2x51C57v+4biWS24Z0Ut/2kU45TmJ4oMafna7xZ6drS36pVu8uVG5xpXKLKpVbXKm84krtK6rU/tIq1VgN7S2s0N7CimPuMyrYX/FhAUoIsyghPFAJYQG6qHeS0mKCnXIOx2MYhj5atUdS3bADAAAAwOODgubau3evzjnnHKWmpurxxx9XQUGB/b2GXgB/+tOfNGPGDF1//fW65557tG7dOj3zzDN66qmn7G1vv/12DRo0SE888YRGjhypd999V8uXL7f3TjCZTLrjjjv00EMPKSMjQ2lpaXrggQeUlJSkUaNGufScgbbIajM0+b3VKqmsVZ/2Ebp1cCeXHLdTXIg6xYU0+V6N1aaCkqrfQoSiuhAhtz5IyKt/varWpoNl1TpYVq31+37b/h/fbdNXEwcpIfzoEzE6y6/7irUpr1T+vmad1yPx+BsAAADgpHfSBAXz58/Xli1btGXLFiUnJzd6r2EFyPDwcH311VeaMGGCMjMzFRMTo2nTpunGG2+0tz3jjDP0zjvv6P7779e9996rjIwMffzxxzr11FPtbe6++26VlZXpxhtvVGFhoc466yzNmzdPAQGu/08+0Na88s02/bT9oIL9ffT06N7y9XH/nKx+PmYlRQQqKSLwqG0Mw1BheU1dmFBcqbyiuhDh87X7tDm/VHd9sFr/vK6/yycSbJjEcFi3OIUH+rn02AAAAPBMJqPhLhou1dz1KwH8Zt3eIl3y4veqsRqadXlP/bGf908IuiW/RCOf/U5VtTb97eJTdE1WB5cdu9ZqU9YjC1VQUqVX/9xPf+gef/yNAAAA4LWaex/q/q/iAKAZKqqtuv3dVaqxGhpxSoKuyEw+/kZeoFNcqO4ZUbdqy8Ofr9e2glKXHfuHrQdUUFKlyCA/DercvLlgAAAAcPIjKADgFWZ+sV5bC8oUF2rRzEt7uLyLvjONO6ODzuwUrcoamya9t1q1VptLjvvRqrphBxf0TJK/L/8cAAAAoA7/MwTg8RZtyNc/l+6UJD1+RS9FBvu7uSLHMptNeuzyXgoN8FX27kK9tHir049ZVlWreetyJUmX9GW1AwAAAPyGoACAR9tfWqW7PlgjSbr2zA46+yTtIp8UEagZF50iSXpmwWat21vk1ON99WuuKmqs6hAdpD4pEU49FgAAALwLQQEAj2UYhqZ8uFb7S6vUOT7EPpb/ZHVJn3Y679QE1doMTZyTrcoaq9OO9d/61Q5G9Wl3Ug3jAAAAwIkjKADgsf6zbLe+Xp8nfx+znhnTRwF+Pu4uyalMJpMevqSHYkIs2pxfqse/3OiU4+QXV+r7Lfsl1YUTAAAAwOEICgB4pG0FpfrbZ79Kku4e0UXdEtvGMqJRwf569LIekqR/fL9dS7cecPgx/rc6RzZD6ts+QqnRwQ7fPwAAALwbQQEAj1NjtWninGxV1Fh1ZqdoXXdmmrtLcqmh3eI15rQUGYZ05/urVVJZ49D9N6x2cEnfk2OJSQAAADgWQQGA41qzp1DvL9+togrH3rAezbMLNmv1niKFB/rp8St6yWxue2Po77+gu1KiArW3sEIzPv3VYfvdlFeiX3KK5edj0gU9Eh22XwAAAJw8CAoAHFON1aaxry/TXR+s0YC/f627P1it1bsLnXa85TsO6oVFWyRJf7+khxLDA512LE8WYvHVE1f0lskkfbBij778Jdch+22YxPCcLnEn3TKTAAAAcAyCAgDH9POOgzpUXteToLLGpveW79HFL3yvC5/7Tu8u26Xy6lqHHaukskYT38uWzZAu7dtOI3u27W+8+6dF6caz0yVJ9/63bvWHE2GzGfokuy4ouJRJDAEAAHAUBAUAjmnh+nxJdTfuH9ycpUv6tJO/j1lr9xZpyn/XasDDCzT9k3XalFdywsd68H+/avfBCiVHBmrGRaec8P5OBpP+0FldE0J1oKxaU/+7VoZhtHpfP24/oH1FlQoN8NXgrnEOrBIAAAAnE4ICAMe0cENdUDCsW7z6dYjSU6N768d7h+re87sqNTpIJVW1emvpTp371Df64+yl+iR7r6pqrS0+ztw1+/Thyj0ym6SnR/dWaICfo0/FK1l8ffTkH3vLz8ek+b/m6f0Ve1q9r4/qhx1c0DPxpF9qEgAAAK1HUADgqLbvL9O2/WXyNZs0MCPG/npUsL9uPLujFk0+R/+6vr9GnJIgH7NJy3Yc1O3vZitr5kLN/GK9dh0ob9Zx9hVV6N6P1kqSJgzupH4dopxyPt6qe1KYJv6hsyTpr5/+qt0Hm/f7erjKGqu+WFc3z8ElfVjtAAAAAEdHUADgqBp6EwxIj2ryG36z2aSBGbGafU2mvr9niCYO66yEsAAdLKvWy0u26ezHFunPry/TV7/kqtZqa/IYNpuhO99fraKKGvVKDtdfhmY49Zy81U1nd1RmaqRKq2p15/urZbO1bAjC/F/zVFpVq3YRgeqXGumkKgEAAHAyICgAcFQLN+RJkoZ0jT9u24TwAN0+LEPf3TNYr1yTqbM7x0qSvtlUoBv/tUJnPbpIT3+9SblFlY22e/377fp+ywEF+vnoqdG95efDX0tN8TGb9OQfeynI30c/bT+o17/f3qLtP15VN+zgkj7t2uRykwAAAGg+/kcOoEkllTX6adtBSdKQFkx85+tj1rmnJOif1/XXN3cN1k2D0hUV7K/c4ko9/fVmnfnoQt30r+X6dnOBfs0p1qx5GyVJD1zQXemxIU45l5NFanSw7h/ZXZI068uNzZ5A8kBplZZsKpAkjWK1AwAAABwHQQGAJn27eb9qbYbSY4KVFhPcqn20jw7S1PO6aenUIXpmTG/17xAlq83Ql7/k6Zp/LNOFz3+naqtNw7rF68r+KQ4+g5PTlf1TNLhLrKprbZo4J1vVtU0P6Tjcp6tzVGsz1DM5XJ3iCGMAAABwbAQFAJq0oH5ZxJb0Jjgai6+PLu7dTu/dnKWvJp6tsVmpCrX4ymozFBNi0aOX9ZDJRHf45jCZTHr0sp6KCPLTLznFenbB5uNu81F2jqS6YQcAAADA8RAUADiC1WZo8cb6oKDbiQcFh+scH6oZF5+qn+4bqhev6qsPbs5SdIjFocc42cWFBejhUT0kSS8u3qKVuw4dte3WglKt3l0oH7NJF/ZKclWJAAAA8GIEBQCOsHpPoQ6UVSvU4qvTnLRUYZC/r87vkagOrRzW0NaN7JmoUb2TZDOkSXOyVV5d22S7T+onMTw7I0YxBDIAAABoBoICAEdYWD/s4OwusaxC4MFmXHSqEsICtONAuWZ+vuGI9w3D0EfZdUEBkxgCAACgubgDAHCEBRvqgoKhDpifAM4THuSnx67oKUn614877SsbNFi+85B2H6xQiMVX53ZPcEeJAAAA8EIEBQAaySms0Pp9xTKZpHO6EBR4uoEZsRqblSpJuvuD1Sosr7a/91H9sIMRpyYo0N/HLfUBAADA+xAUAGhkUf0khn3bRyoq2N/N1aA5ppzXTekxwcorrtIDn/wiSaqqtWrumn2SWO0AAAAALUNQAKCRhQ5cFhGuEejvoydH95aP2aRPV+fof6tztGhDvooqapQQFqDT06PdXSIAAAC8CEEBALuKaqu+27JfkjTUwcsiwrl6p0RowuBOkqQHPl6n17/bIUm6uHeSfMwmN1YGAAAAb0NQAMBu6bb9qqq1qV1EoLrEh7q7HLTQbUM6qUe7cBVV1GjZjoOSpEv6MuwAAAAALUNQAMBuQf2wg8FdY2Uy8S20t/HzMeup0b3k71v3V3u3xDB1TQhzc1UAAADwNgQFACRJhmFooX1ZxHg3V4PW6hQXqgcvPEW+ZpNuPDvN3eUAAADAC/k2p1FxcXGzdxgWxrdXgDdav69E+4oqFeBnVlZHJr/zZn8a0F6jT0thbgIAAAC0SrOCgoiIiGZ3Q7ZarSdUEAD3WLghT5J0VqcYBfj5uLkanChCAgAAALRWs4KCRYsW2Z/v2LFDU6ZM0bhx45SVlSVJWrp0qd566y3NnDnTOVUCcLoFGxqWRWTYAQAAANCWNSsoGDRokP35X//6Vz355JO68sor7a9ddNFF6tGjh1555RWNHTvW8VUCcKoDpVXK3l0oSRrSlWURAQAAgLasxZMZLl26VP369Tvi9X79+mnZsmUOKQqAay3eWCDDkE5JClNCeIC7ywEAAADgRi0OClJSUvTqq68e8fprr72mlJQUhxQFwLV+W+2A3gQAAABAW9esoQeHe+qpp3TZZZfpiy++0IABAyRJy5Yt0+bNm/Xhhx86vEAAzlVda9M3mwokSUO6MT8BAAAA0Na1uEfB+eefr82bN+uiiy7SwYMHdfDgQV144YXatGmTzj//fGfUCMCJlu84qJKqWsWE+Ktnu3B3lwMAAADAzVrUo6CmpkYjRozQ7Nmz9fDDDzurJgAu1LDaweAucTKzpB4AAADQ5rWoR4Gfn5/WrFnjrFoAuIF9foJuzE8AAAAAoBVDD66++mr94x//cEYtAFxsW0Gptu8vk5+PSWdlxLq7HAAAAAAeoMVBQW1trV566SX169dPN910kyZNmtTo4QmqqqrUu3dvmUwmZWdnN3pvzZo1GjhwoAICApSSkqJZs2Ydsf3777+vrl27KiAgQD169NDnn3/e6H3DMDRt2jQlJiYqMDBQw4YN0+bNm515SoBTNPQmGJAWrRBLi+c2BQAAAHASanFQsG7dOvXt21ehoaHatGmTVq1aZX/8/qbcXe6++24lJSUd8XpxcbHOPfdcpaamasWKFXrsscf04IMP6pVXXrG3+eGHH3TllVfq+uuv16pVqzRq1CiNGjVK69ats7eZNWuWnn32Wc2ePVs//fSTgoODNXz4cFVWVrrk/ABHWbC+LigYwrKIAAAAAOqZDMMw3F2EI33xxReaNGmSPvzwQ51yyilatWqVevfuLUl66aWXdN999yk3N1f+/v6SpClTpujjjz/Whg0bJEmjR49WWVmZPvvsM/s+Tz/9dPXu3VuzZ8+WYRhKSkrS5MmTdeedd0qSioqKFB8frzfffFNjxoxpVp3FxcUKDw9XUVGRwsLCHPg7ADRPUUWNMv82X7U2Q0vuOkep0cHuLgkAAACAEzX3PrTFPQo8WV5ensaPH69//etfCgoKOuL9pUuX6uyzz7aHBJI0fPhwbdy4UYcOHbK3GTZsWKPthg8frqVLl0qStm/frtzc3EZtwsPDNWDAAHubplRVVam4uLjRA3CnbzcXqNZmqGNsMCEBAAAAALtWDUpevny53nvvPe3atUvV1dWN3vvvf//rkMJayjAMjRs3TjfffLP69eunHTt2HNEmNzdXaWlpjV6Lj4+3vxcZGanc3Fz7a4e3yc3Ntbc7fLum2jRl5syZmjFjRovPC3CW31Y7iD9OSwAAAABtSYt7FLz77rs644wztH79en300UeqqanRL7/8ooULFyo8PNzhBU6ZMkUmk+mYjw0bNui5555TSUmJpk6d6vAaHGHq1KkqKiqyP3bv3u3uktCGWW2GFm8skMT8BAAAAAAaa3GPgr///e966qmnNGHCBIWGhuqZZ55RWlqabrrpJiUmJjq8wMmTJ2vcuHHHbJOenq6FCxdq6dKlslgsjd7r16+frrrqKr311ltKSEhQXl5eo/cbfk5ISLD/2lSbw99veO3w883Ly7PPhdAUi8VyRG2Au2TvLtTBsmqFBfgqMzXS3eUAAAAA8CAtDgq2bt2qkSNHSpL8/f1VVlYmk8mkiRMnasiQIQ7vXh8bG6vY2OOv7/7ss8/qoYcesv+ck5Oj4cOHa86cORowYIAkKSsrS/fdd59qamrk5+cnSZo/f766dOmiyMhIe5sFCxbojjvusO9r/vz5ysrKkiSlpaUpISFBCxYssAcDxcXF+umnn3TLLbc44pQBp1u4oS4MG9QlTn4+J9VUJQAAAABOUIuDgsjISJWUlEiS2rVrp3Xr1qlHjx4qLCxUeXm5wwtsrvbt2zf6OSQkRJLUsWNHJScnS5L+9Kc/acaMGbr++ut1zz33aN26dXrmmWf01FNP2be7/fbbNWjQID3xxBMaOXKk3n33XS1fvty+hKLJZNIdd9yhhx56SBkZGUpLS9MDDzygpKQkjRo1yjUnC5yghmURhzLsAAAAAMDvtDgoOPvsszV//nz16NFDV1xxhW6//XYtXLhQ8+fP19ChQ51Ro8OEh4frq6++0oQJE5SZmamYmBhNmzZNN954o73NGWecoXfeeUf333+/7r33XmVkZOjjjz/Wqaeeam9z9913q6ysTDfeeKMKCwt11llnad68eQoICHDHaQEtsrewQhtyS2Q2SYM6H7+3DgAAAIC2xWQYhtGSDQ4ePKjKykolJSXJZrNp1qxZ+uGHH5SRkaH777/f3oUfx9bc9SsBR/vXjzv1wMfrdFqHSL1/8xnuLgcAAACAizT3PrTFPQqioqLsz81ms6ZMmdK6CgG4xcL1dfMTDGbYAQAAAIAmtHgWsz//+c964403tHXrVmfUA8CJyqtr9f3WA5KkoV3j3VwNAAAAAE/U4qDA399fM2fOVEZGhlJSUnT11Vfrtdde0+bNm51RHwAH+mHLAVXX2tQuIlCd40PcXQ4AAAAAD9TioOC1117Tpk2btHv3bs2aNUshISF64okn1LVrV/vqAgA804IN9asddIuTyWRyczUAAAAAPFGrF1CPjIxUdHS0IiMjFRERIV9fX8XGMoM64KkMw9Ci+qBgCPMTAAAAADiKFgcF9957r8444wxFR0drypQpqqys1JQpU5Sbm6tVq1Y5o0YADvDrvmLlFlcq0M9Hp6dHu7scAAAAAB6qxasePPLII4qNjdX06dN16aWXqnPnzs6oC4CDLVxf15vgrIwYBfj5uLkaAAAAAJ6qxUHBqlWrtGTJEi1evFhPPPGE/P39NWjQIJ1zzjk655xzCA4AD2Wfn4BhBwAAAACOocVBQa9evdSrVy/95S9/kSStXr1aTz31lCZMmCCbzSar1erwIgGcmIKSKq3eUyhJGkxQAAAAAOAYWhwUGIahVatWafHixVq8eLG+++47FRcXq2fPnho0aJAzagRwghZvzJdhSD3ahSs+LMDd5QAAAADwYC0OCqKiolRaWqpevXpp0KBBGj9+vAYOHKiIiAgnlAfAERay2gEAAACAZmpxUPD2229r4MCBCgsLc0Y9ABysutambzYVSJKGdiMoAAAAAHBsLV4eceTIkQoLC9OWLVv05ZdfqqKiQlLdkAQAnmfZ9oMqq7YqJsSiU5PC3V0OAAAAAA/X4qDgwIEDGjp0qDp37qzzzz9f+/btkyRdf/31mjx5ssMLBHBiFmzIkyQN6Rors9nk5moAAAAAeLoWBwUTJ06Un5+fdu3apaCgIPvro0eP1rx58xxaHIATYxjGYfMTxLu5GgAAAADeoMVzFHz11Vf68ssvlZyc3Oj1jIwM7dy502GFAThx2/aXaeeBcvn7mHVWRoy7ywEAAADgBVrco6CsrKxRT4IGBw8elMVicUhR8CzMP+G9Fq6v600wID1KIZYW54IAAAAA2qAWBwUDBw7UP//5T/vPJpNJNptNs2bN0uDBgx1aHNyrsLxal7z4vfo99LVqrDZ3l4NWaJifYCjLIgIAAABophZ/xThr1iwNHTpUy5cvV3V1te6++2798ssvOnjwoL7//ntn1Ag3CQvw08bcEpVXW7XzQJk6xYW6uyS0QFFFjX7ecUgS8xMAAAAAaL4W9yg49dRTtWnTJp111lm6+OKLVVZWpksvvVSrVq1Sx44dnVEj3MRsNikjvi4c2JRX6uZq0FLfbCqQ1WYoIy5E7aOPHC4EAAAAAE1pUY+CmpoajRgxQrNnz9Z9993nrJrgQTrHhWj17kJtzC3R+T0S3V0OWsC+2kE3hh0AAAAAaL4W9Sjw8/PTmjVrnFULPFCXhLoeBZvzS9xcCVrCajO0aGNdUDCUYQcAAAAAWqDFQw+uvvpq/eMf/3BGLfBADUMPNuYSFHiTVbsOqbC8RuGBfurbPsLd5QAAAADwIi2ezLC2tlavv/66vv76a2VmZio4OLjR+08++aTDioP7dakPCnYcKFdVrVUWXx83V4TmWFA/7OCcLrHy9WlxHggAAACgDWtxULBu3Tr17dtXkrRp06ZG75lMJsdUBY8RH2ZRaICvSiprta2gTN0Sw9xdEpph4fr6+QlYFhEAAABAC7U4KFi0aJEz6oCHMplM6hIfquU7D2lTXglBgRfYc6hcG/NKZDZJgzrHurscAAAAAF6GPsk4rs4JDUskMk+BN1hUP+ygX2qUIoL83VwNAAAAAG9DUIDj6hwXIknamFvq5krQHAtYFhEAAADACSAowHF1ZolEr1FeXasfth6QJA1lfgIAAAAArUBQgOPqXL/ywa6D5aqotrq5GhzL91sOqLrWppSoQHWq7wkCAAAAAC1BUIDjigmxKDrYX4Yhbcln+IEn+9/qHEnSkC5xrEICAAAAoFWaterB//73v2bv8KKLLmp1MfBcneNDtXTbAW3MK1GP5HB3l+NS/1udo/ziSl1/VppH33zv2F+muWvqgoIr+qW4uRoAAAAA3qpZQcGoUaOatTOTySSrla7pJ6PO8SFauu1Am1v5oKCkShPnZMtqM9QhOljDuse7u6Sjmr1kq2yGNLhLrE5t17bCHAAAAACO06yhBzabrVkPQoKTV1tdIvGT7L2y2gxJ0tMLNskwDDdX1LScwgp9uHKPJOnWIZ3cXA0AAAAAb8YcBWiWhgkNN+W2naDAMAy9v3yP/ed1e4u1YH2+Gys6ule+2aYaq6HT06OUmRrl7nIAAAAAeLFmDT34vbKyMi1ZskS7du1SdXV1o/f+8pe/OKQweJbOcXVBQU5RpUoqaxQa4Ofmipzvl5xibcwrkb+vWZdnJuudn3bp6QWbNLSbZ00UuL+0Su/+vEuSdOvgDDdXAwAAAMDbtTgoWLVqlc4//3yVl5errKxMUVFR2r9/v4KCghQXF0dQcJIKD/JTfJhFecVV2pRXqszUSHeX5HQfrKjrTXBu93jdeW4Xfbxqr71XgSfNVfCP77arssamXikROrNTtLvLAQAAAODlWjz0YOLEibrwwgt16NAhBQYG6scff9TOnTuVmZmpxx9/3Bk1wkM0DD/Y3AbmKaiqterj7L2SpMszkxUV7K+xZ3SQ5FlzFRSV1+hfS3dKkm4d3MmjejoAAAAA8E4tDgqys7M1efJkmc1m+fj4qKqqSikpKZo1a5buvfdeZ9QID9GlPijY2AaCgkUb8lVYXqP4MIsGZsRKksYPTFeQv49HzVXw1tIdKq2qVdeEUA3tGufucgAAAACcBFocFPj5+clsrtssLi5Ou3bVjY0ODw/X7t27HVsdPIp9QsM2EBQ0DDu4pE+yfMx139J7Wq+Csqpavf79dknS/w3uJLOZ3gQAAAAATlyLg4I+ffro559/liQNGjRI06ZN07///W/dcccdOvXUUx1eYEvNnTtXAwYMUGBgoCIjIzVq1KhG7+/atUsjR460z6lw1113qba2tlGbxYsXq2/fvrJYLOrUqZPefPPNI47zwgsvqEOHDgoICNCAAQO0bNkyJ56VZ/hticRSN1fiXAUlVVq0sUCSdHlmu0bveVKvgnd+2qXC8hqlxQRrZI9Et9YCAAAA4OTR4qDg73//uxIT625KHn74YUVGRuqWW25RQUGBXn75ZYcX2BIffvihrrnmGl177bVavXq1vv/+e/3pT3+yv2+1WjVy5EhVV1frhx9+0FtvvaU333xT06ZNs7fZvn27Ro4cqcGDBys7O1t33HGHbrjhBn355Zf2NnPmzNGkSZM0ffp0rVy5Ur169dLw4cOVn+8Z3dGdJSMuRFLdjfShsurjtPZen2TvldVmqHdKhDrVr/bQwFN6FVTWWPXKt9skSbcM6mjv9QAAAAAAJ8pkuLv/tIPU1taqQ4cOmjFjhq6//vom23zxxRe64IILlJOTo/j4ulnrZ8+erXvuuUcFBQXy9/fXPffco7lz52rdunX27caMGaPCwkLNmzdPkjRgwACddtppev755yVJNptNKSkpuu222zRlypRm1VtcXKzw8HAVFRUpLCzsRE7dpc56dKH2HKrQnBtP14D0k2+GfcMwNOLpb7Uxr0QPjTpVV5+eekSbg2XVOuvRhSqvtuq1P/dzywoI//pxpx74eJ2SwgO0+K7B8vdtceYHAAAAoI1p7n1oi+8uhgwZosLCwiYPOGTIkJbuzmFWrlypvXv3ymw2q0+fPkpMTNR5553X6IZ/6dKl6tGjhz0kkKThw4eruLhYv/zyi73NsGHDGu17+PDhWrp0qSSpurpaK1asaNTGbDZr2LBh9jZNqaqqUnFxcaOHNzrZ5yn4JadYG/NK5O9r1oU9k5ps4+5eBTVWm2Yv3ipJumlQR0ICAAAAAA7V4juMxYsXq7r6yG7nlZWV+vbbbx1SVGts21bXDfvBBx/U/fffr88++0yRkZE655xzdPDgQUlSbm5uo5BAkv3n3NzcY7YpLi5WRUWF9u/fL6vV2mSbhn00ZebMmQoPD7c/UlJSTuyE3eS3oODknKegYRLDc7vHKzzI76jt3DlXwSfZOdpbWKGYEItGn+adf44AAAAAeK5mBwVr1qzRmjVrJEm//vqr/ec1a9Zo1apV+sc//qF27dodZy8tN2XKFJlMpmM+NmzYIJvNJkm67777dNlllykzM1NvvPGGTCaT3n//fYfX1VJTp05VUVGR/eGtK0R0Saibp+BkXCKxqtaqj7P3SpIuz0w+ZtuoYH/9OauDJNf2KrDaDL24eIsk6YaBaQrw83HJcQEAAAC0Hb7Nbdi7d2/7jXlTQwwCAwP13HPPObQ4SZo8ebLGjRt3zDbp6enat2+fJKl79+721y0Wi9LT0+1LOCYkJByxOkFeXp79vYZfG147vE1YWJgCAwPl4+MjHx+fJts07KMpFotFFovlmOfhDTLifht6YBiGTKaTZxK9RRvyVVheo/gwiwZmxB63/fiBafrn0h1at7dYCzfka2g3589VMG9drrYVlCk80K/J+RMAAAAA4EQ1OyjYvn27DMNQenq6li1bptjY326k/P39FRcXJx8fx3+7GRsb2+hYR5OZmSmLxaKNGzfqrLPOkiTV1NRox44dSk2tu6HKysrSww8/rPz8fMXFxUmS5s+fr7CwMHvAkJWVpc8//7zRvufPn6+srCxJdeeamZmpBQsW2JdetNlsWrBggW699VaHnLMn6xQXIrNJKiyvUUFpleJCA9xdksM0DDu4pE9ys1YRiA6x6M9ZHTR7yVY9/fVmDeka59TgxDAMPb+orjfBuDM6KMTS7I8vAAAAADRbs+80Gm62G7r4e5qwsDDdfPPNmj59ulJSUpSamqrHHntMknTFFVdIks4991x1795d11xzjWbNmqXc3Fzdf//9mjBhgv3b/ptvvlnPP/+87r77bl133XVauHCh3nvvPc2dO9d+rEmTJmns2LHq16+f+vfvr6efflplZWW69tprXX/iLhbg56PU6GBt31+mTbmlJ01QUFBSpUUbCyRJl2c2fwhNQ6+CtXuLnN6rYNHGfK3fV6xgfx9de2YHpx0HAAAAQNvWqq8kt27dqqefflrr16+XVNfd//bbb1fHjh0dWlxLPfbYY/L19dU111yjiooKDRgwQAsXLlRkZKQkycfHR5999pluueUWZWVlKTg4WGPHjtVf//pX+z7S0tI0d+5cTZw4Uc8884ySk5P12muvafjw4fY2o0ePVkFBgaZNm6bc3Fz17t1b8+bNO2KCw5NV5/iQuqAgr0RnZcS4uxyH+CR7r6w2Q71TItSpfnhFc7iqV4FhGHp+YV1vgqtPT1VEkL/DjwEAAAAAkmQyWjgL25dffqmLLrpIvXv31plnnilJ+v7777V69Wp9+umn+sMf/uCUQk82zV2/0hM9+dVGPbtwi8aclqJHLuvp7nJOmGEYGvH0t9qYV6KHRp3a4rH/B0qrNHDWIpVXW/WPsf2c0qvgh6379adXf5K/r1nf3TP4pOnJAQAAAMB1mnsf2uIeBVOmTNHEiRP1yCOPHPH6PffcQ1DQBmTE/zah4cngl5xibcwrkb+vWRf2TGrx9q7oVfBC/dwEY05LISQAAAAA4FTNXh6xwfr163X99dcf8fp1112nX3/91SFFwbN1SWgICkpdtiygMzVMYnhu93iFB/m1ah/jB6YpyN/HPleBI63adUjfbzkgX7NJNw1y7/AeAAAAACe/FgcFsbGxys7OPuL17Oxs+0oCOLl1iA6Wr9mk0qpa5RRVurucE1JVa9XH2XslSZdnJrd6Pw29CiTp6a83OzRAaehNcEmfdmoXEeiw/QIAAABAU5odFPz1r39VeXm5xo8frxtvvFGPPvqovv32W3377bd65JFHdNNNN2n8+PHOrBUewt/XrPTYYEneP/xg0YZ8FZbXKD7MooEZx1+G81ic0atg/b5ifb0+X2aTdMs59CYAAAAA4HzNDgpmzJih0tJSPfDAA5o2bZqee+45DRo0SIMGDdLzzz+vBx98UPfff78za4UHsc9TkOvdQUHDsINL+iTLx3xi8wo4o1dBQ2+C83skKj025IT3BwAAAADH0+ygoOGmx2QyaeLEidqzZ4+KiopUVFSkPXv26Pbbb3fKsnDwTF3if5unwFsVlFRp0cYCSdLlme0csk9H9irYVlCquWv3SZImDO7kiPIAAAAA4LhaNEfB74OA0NBQhYY2f815nDw6nwQrH3ySvVdWm6HeKRHqFOeYP8eO7FXw0uKtMgxpWLc4dUv0riU0AQAAAHivFi2P2Llz5+P2Gjh48OAJFQTv0Dm+rhv85vwS2WyGzCfYbd/VDMPQ+8vrhh2cyCSGTRk/ME3/XLrD3qtgaLf4Fu9jz6FyfbSqbpJFehMAAAAAcKUWBQUzZsxQeHi4s2qBF0mNDpa/r1mVNTbtPlSu1Ohgd5fUIr/kFGtjXon8fc26sGeSQ/fd0Ktg9pKtevrrzRrSNa7Fw3Je+Wabam2GzuwUrT7tIx1aHwAAAAAcS4uCgjFjxrAEIiRJPmaTOsWG6Nd9xdqYW+J1QUHDJIbndo9XeJCfw/d/Ir0K8ksq9e7PuyXRmwAAAACA6zV7jgImKsTvdUmoG9e/Od+7JjSsqrXq4+y6bv2OHnbQ4ETmKvjHt9tVXWtT3/YRykqPdkp9AAAAAHA0LV71AGiQUT9PwUYvWyJx0YZ8FZbXKD7MooEZsU47TmtWQCgsr9bbP+6UJN06pBMBHQAAAACXa3ZQYLPZGHaARrp46coHDcMOLu2bLB8nTsLYml4Fb3y/Q2XVVnVPDNPgLnzeAAAAALhei5ZHBA7XsETitoIy1Vptbq6meQpKqrRoY4Ek6bK+zhl2cLiW9CoorarVmz/skFQ3NwG9CQAAAAC4A0EBWq1dRKCC/H1UbbVpx4Fyd5fTLJ9k75XVZqhP+wh1igtx+vGiQyy6JitV0vF7Fbz9404VVdQoPTZYI05NcHptAAAAANAUggK0mtlsUoYXDT8wDEPvL68bduCsSQybcuPAdAX6HbtXQWWNVa99u12S9H/ndHLqkAgAAAAAOBaCApyQznHeM6HhLznF2phXIn9fsy7omeSy40aHWPTnM47dq2DOz7u1v7RKyZGBuri362oDAAAAgN8jKMAJ+W2JRM8PChomMRx+SoLCA/1ceuxj9SqorrXp5SVbJUk3DeooPx8+lgAAAADchzsSnJCGoQee3qOgqtaqj7P3SnLtsIMGx+pV8PGqvcopqlRcqEVXuKE2AAAAADgcQQFOSMMSiTsOlKuq1urmao5u0YZ8FZbXKD7MorM6xbilhqZ6FVhthl6q700wfmC6Avx83FIbAAAAADQgKMAJiQ+zKCzAV1aboW0FZe4u56gahh1c2jfZbRMFNtWrYO7afdq+v0wRQX7604D2bqkLAAAAAA5HUIATYjKZ1NnDVz4oKKnSoo0FkqTL+rq3a//hvQq+Xp+vFxdtkSRdd2aagi2+bq0NAAAAACSCAjhA5wTPDgo+XrVXVpuhPu0j1Kl+lQZ3ObxXwV0frNaG3BKFWHw1NquDW+sCAAAAgAYEBThhvy2RWOrmSo5kGIZ92IE7JjFsSkOvgsLyGknSNVmpCg9y7SoMAAAAAHA0BAU4YZ09eInEdXuLtTGvRP6+Zl3QM8nd5Uhq3KsgwM+s689Kc3NFAAAAAPAbBkXjhDWsfLDrYLkqqq0K9Pecmfs/WLFbkjT8lASFB3rOt/b/N6iTdh8s1zmd4xQTYnF3OQAAAABgR1CAExYdYlF0sL8OlFVrS36peiSHu7skSVJVrVWfrM6R5DnDDhqEB/npxasy3V0GAAAAAByBoQdwiIaVDzZ60ISGC9fnq7C8RvFhFp3VKcbd5QAAAACAVyAogEN0jq+b0HCzBwUFDZMYXto3WT5mk5urAQAAAADvQFAAh2iY0NBTehTkl1Rq8aYCSdJlfT1r2AEAAAAAeDKCAjhEw9CDTbmeERR8sipHVpuhPu0j1Kl++UYAAAAAwPERFMAhOsfVBQU5RZUqqaxxay2GYdiHHXjaJIYAAAAA4OkICuAQ4UF+SggLkCRtyit1ay3r9hZrY16J/H3NuqBnkltrAQAAAABvQ1AAh8nwkAkNP1ixW5I0/JQEhQf6ubUWAAAAAPA2BAVwmC4esERiVa1Vn6zOkcSwAwAAAABoDYICOEzDhIab3Tj0YOH6fBWW1yg+zKKzOsW4rQ4AAAAA8FYEBXAYT1gisWESw0v7JsvHbHJbHQAAAADgrQgK4DAZ9csQFpRU6VBZtcuPn19SqcWbCiRJl/Vl2AEAAAAAtAZBARwm2OKr5MhASdImN/Qq+GRVjqw2Q33aR6hTfWgBAAAAAGgZggI4VMOEhq4OCgzD0JzldasdMIkhAAAAALQeQQEcKsMeFLh2QsOVuw5pS36pAv18dFGvJJceGwAAAABOJidVULBp0yZdfPHFiomJUVhYmM466ywtWrSoUZtdu3Zp5MiRCgoKUlxcnO666y7V1tY2arN48WL17dtXFotFnTp10ptvvnnEsV544QV16NBBAQEBGjBggJYtW+bMU/MaXRLquvy7ekLDd5fV9SYY2TNRoQF+Lj02AAAAAJxMTqqg4IILLlBtba0WLlyoFStWqFevXrrggguUm5srSbJarRo5cqSqq6v1ww8/6K233tKbb76padOm2fexfft2jRw5UoMHD1Z2drbuuOMO3XDDDfryyy/tbebMmaNJkyZp+vTpWrlypXr16qXhw4crPz/f5efsaTLiGpZILJFhGC45ZklljT5bs0+SNOa0FJccEwAAAABOVibDVXdzTrZ//37Fxsbqm2++0cCBAyVJJSUlCgsL0/z58zVs2DB98cUXuuCCC5STk6P4+HhJ0uzZs3XPPfeooKBA/v7+uueeezR37lytW7fOvu8xY8aosLBQ8+bNkyQNGDBAp512mp5//nlJks1mU0pKim677TZNmTKlWfUWFxcrPDxcRUVFCgsLc+RvhVtV1ljVfdo82Qxp2X1DFRca4PRj/vunnbrvo3XqFBei+RPPlsnEsogAAAAA8HvNvQ89aXoUREdHq0uXLvrnP/+psrIy1dbW6uWXX1ZcXJwyMzMlSUuXLlWPHj3sIYEkDR8+XMXFxfrll1/sbYYNG9Zo38OHD9fSpUslSdXV1VqxYkWjNmazWcOGDbO3aUpVVZWKi4sbPU5GAX4+6hAdLEnalOuaeQrm/Fw37GDMaSmEBAAAAABwgk6aoMBkMunrr7/WqlWrFBoaqoCAAD355JOaN2+eIiMjJUm5ubmNQgJJ9p8bhiccrU1xcbEqKiq0f/9+Wa3WJts07KMpM2fOVHh4uP2RknLydpHPiK+bp8AVKx/8klOkNXuK5Odj0iV92jn9eAAAAABwsvP4oGDKlCkymUzHfGzYsEGGYWjChAmKi4vTt99+q2XLlmnUqFG68MILtW/fPnefhqZOnaqioiL7Y/fu3e4uyWlcuURiQ2+Cc7snKDrE4vTjAQAAAMDJztfdBRzP5MmTNW7cuGO2SU9P18KFC/XZZ5/p0KFD9rEWL774oubPn6+33npLU6ZMUUJCwhGrE+Tl5UmSEhIS7L82vHZ4m7CwMAUGBsrHx0c+Pj5NtmnYR1MsFosslrZxI5vhoqCgssaqj1btlSSN6X/y9tAAAAAAAFfy+KAgNjZWsbGxx21XXl4uqW6+gMOZzWbZbDZJUlZWlh5++GHl5+crLi5OkjR//nyFhYWpe/fu9jaff/55o33Mnz9fWVlZkiR/f39lZmZqwYIFGjVqlKS6yQwXLFigW2+9tfUnehLpktCw8kGpDMNw2rwBX6zbp5LKWrWLCNSZHWOccgwAAAAAaGs8fuhBc2VlZSkyMlJjx47V6tWrtWnTJt1111325Q4l6dxzz1X37t11zTXXaPXq1fryyy91//33a8KECfZv+2+++WZt27ZNd999tzZs2KAXX3xR7733niZOnGg/1qRJk/Tqq6/qrbfe0vr163XLLbeorKxM1157rVvO3dN0iA6Wr9mkkqpa7SuqdNpx3l1WN+xg9GkpMpuZxBAAAAAAHOGkCQpiYmI0b948lZaWasiQIerXr5++++47ffLJJ+rVq5ckycfHR5999pl8fHyUlZWlq6++Wn/+85/117/+1b6ftLQ0zZ07V/Pnz1evXr30xBNP6LXXXtPw4cPtbUaPHq3HH39c06ZNU+/evZWdna158+YdMcFhW+Xva1Z6bN3KBxudNPxgW0Gpftp+UGaTdEW/ZKccAwAAAADaIpNhGIa7i2iLmrt+pbe69Z2V+mzNPk09r6tuGtTR4fuf+cV6vbxkm4Z0jdPr405z+P4BAAAA4GTT3PvQk6ZHATxLZ/uEhqUO33eN1aYPV+yRVDfsAAAAAADgOAQFcIrOTlz5YMH6fO0vrVZMiEVDusY5fP8AAAAA0JYRFMApOseHSJI255fIZnPs6JZ3f94lSbo8M1l+PvwRBgAAAABH4i4LTpEaHSx/X7Mqa2zafajcYfvNKazQkk0Fkhh2AAAAAADOQFAAp/Axm9Qptq5XgSPnKXh/+R4ZhnR6epTSYoIdtl8AAAAAQB2CAjhNlwTHzlNgtRl6b/luSdKY09o7ZJ8AAAAAgMYICuA0DRMabsx1TFDw3Zb92ltYobAAX404NcEh+wQAAAAANEZQAKdpmNDQUT0K5tRPYnhp32QF+Pk4ZJ8AAAAAgMYICuA0DT0KthWUqdZqO6F97S+t0vxf8yQxiSEAAAAAOBNBAZymXUSggvx9VG21aceBE1v54KOVe1VjNdQrOVzdEsMcVCEAAAAA4PcICuA0ZrNJGfEnPqGhYRj6T/2wg9FMYggAAAAATkVQAKfqHHfi8xQs33lI2wrKFOTvo4t6JzmqNAAAAABAEwgK4FSOWCLx3WV1SyJe0DNRIRZfh9QFAAAAAGgaQQGc6kSXSCyurNHctTmSGHYAAAAAAK5AUACnaggKdhwoV1WttcXbf5Kdo8oamzLiQtS3fYSDqwMAAAAA/B5BAZwqPsyisABfWW2GthWUtXj7OfWTGI7p314mk8nR5QEAAAAAfoegAE5lMpnsvQpaOk/Bur1FWre3WP4+Zl3Sp50zygMAAAAA/A5BAZyucysnNJzzc90khueeEq+oYH+H1wUAAAAAOBJBAZyui71HQWmzt6moturj7L2SpDFMYggAAAAALkNQAKfLiA+R1LIeBZ+v3aeSylqlRAXqjI7RzioNAAAAAPA7BAVwuoYeBbsOlquiunkrHzQMOxjdL0VmM5MYAgAAAICrEBTA6aJDLIoO9pdhSFvyjz/8YGtBqZbtOCizSbo8M8UFFQIAAAAAGhAUwCUaVj7Y2IzhBw29CQZ3iVNCeIBT6wIAAAAANEZQAJfoXD9PwebjBAXVtTZ9uGKPJGlMfyYxBAAAAABXIyiASzQskXi8HgUL1ufpQFm14kItGtwl1hWlAQAAAAAOQ1AAl2iY0HDzcZZIfLd+2MHlmcny9eGPJwAAAAC4GndicImM+qBgb2GFSiprmmyz51C5vtlcIEkafRqTGAIAAACAOxAUwCXCA/2UEFY3MeGmo/QqeH/5HhmGdEbHaKVGB7uyPAAAAABAPYICuEzGMSY0tNoMvb+8btgBvQkAAAAAwH0ICuAyXY6xROK3mwuUU1Sp8EA/DT8lwdWlAQAAAADqERTAZTofY0LDd5fV9Sa4pE87Bfj5uLQuAAAAAMBvCArgMkdbIrGgpEpfr8+TJI3pz7ADAAAAAHAnggK4TEZc3RwFBSVVOlRWbX/9vyv3qNZmqHdKhLomhLmrPAAAAACACArgQsEWXyVHBkqSNtX3KjAMQ3N+rht2MIZJDAEAAADA7QgK4FINExo2BAXLth/Utv1lCvL30QW9ktxZGgAAAABABAVwsQx7UFA3oWFDb4KLeiUpxOLrtroAAAAAAHUICuBSXRLq5inYmFeioooazV27T5I0mmEHAAAAAOARCArgUr8tkViiT7L3qqrWpi7xoeqdEuHewgAAAAAAkggK4GIdY0NkNkmHymv0yjfbJNX1JjCZTG6uDAAAAAAgERTAxQL8fNQhOliStOdQhfx9zbq0bzs3VwUAAAAAaOA1QcHDDz+sM844Q0FBQYqIiGiyza5duzRy5EgFBQUpLi5Od911l2praxu1Wbx4sfr27SuLxaJOnTrpzTffPGI/L7zwgjp06KCAgAANGDBAy5Yta/R+ZWWlJkyYoOjoaIWEhOiyyy5TXl6eo071pJcRH2J/PuKUBEUE+buxGgAAAADA4bwmKKiurtYVV1yhW265pcn3rVarRo4cqerqav3www9666239Oabb2ratGn2Ntu3b9fIkSM1ePBgZWdn64477tANN9ygL7/80t5mzpw5mjRpkqZPn66VK1eqV69eGj58uPLz8+1tJk6cqE8//VTvv/++lixZopycHF166aXOO/mTTMMSiZI0hkkMAQAAAMCjmAzDMNxdREu8+eabuuOOO1RYWNjo9S+++EIXXHCBcnJyFB8fL0maPXu27rnnHhUUFMjf31/33HOP5s6dq3Xr1tm3GzNmjAoLCzVv3jxJ0oABA3Taaafp+eeflyTZbDalpKTotttu05QpU1RUVKTY2Fi98847uvzyyyVJGzZsULdu3bR06VKdfvrpzTqP4uJihYeHq6ioSGFhYSf62+JV5q3bp5vfXqn2UUFafOc5MpuZnwAAAAAAnK2596Fe06PgeJYuXaoePXrYQwJJGj58uIqLi/XLL7/Y2wwbNqzRdsOHD9fSpUsl1fVaWLFiRaM2ZrNZw4YNs7dZsWKFampqGrXp2rWr2rdvb2/TlKqqKhUXFzd6tFV/6J6ge8/vqpeu7ktIAAAAAAAe5qQJCnJzcxuFBJLsP+fm5h6zTXFxsSoqKrR//35ZrdYm2xy+D39//yPmSTi8TVNmzpyp8PBw+yMlpe12ufcxm3Tj2R11SlK4u0sBAAAAAPyOW4OCKVOmyGQyHfOxYcMGd5boMFOnTlVRUZH9sXv3bneXBAAAAADAEXzdefDJkydr3Lhxx2yTnp7erH0lJCQcsTpBw0oECQkJ9l9/vzpBXl6ewsLCFBgYKB8fH/n4+DTZ5vB9VFdXq7CwsFGvgsPbNMVischisTTrXAAAAAAAcBe39iiIjY1V165dj/nw92/e0nlZWVlau3Zto9UJ5s+fr7CwMHXv3t3eZsGCBY22mz9/vrKysiRJ/v7+yszMbNTGZrNpwYIF9jaZmZny8/Nr1Gbjxo3atWuXvQ0AAAAAAN7KrT0KWmLXrl06ePCgdu3aJavVquzsbElSp06dFBISonPPPVfdu3fXNddco1mzZik3N1f333+/JkyYYP8m/+abb9bzzz+vu+++W9ddd50WLlyo9957T3PnzrUfZ9KkSRo7dqz69eun/v376+mnn1ZZWZmuvfZaSVJ4eLiuv/56TZo0SVFRUQoLC9Ntt92mrKysZq94AAAAAACAp/KaoGDatGl666237D/36dNHkrRo0SKdc8458vHx0WeffaZbbrlFWVlZCg4O1tixY/XXv/7Vvk1aWprmzp2riRMn6plnnlFycrJee+01DR8+3N5m9OjRKigo0LRp05Sbm6vevXtr3rx5jSY4fOqpp2Q2m3XZZZepqqpKw4cP14svvuiC3wUAAAAAAJzLZBiG4e4i2qLmrl8JAAAAAIAjNPc+9KRZHhEAAAAAAJw4ggIAAAAAAGBHUAAAAAAAAOy8ZjLDk03D1BDFxcVurgQAAAAA0BY03H8eb6pCggI3KSkpkSSlpKS4uRIAAAAAQFtSUlKi8PDwo77PqgduYrPZlJOTo9DQUJlMJneXc1TFxcVKSUnR7t27WZ3BC3C9vA/XzLtwvbwP18y7cL28C9fL+3DNvIszrpdhGCopKVFSUpLM5qPPRECPAjcxm81KTk52dxnNFhYWxl8mXoTr5X24Zt6F6+V9uGbehevlXbhe3odr5l0cfb2O1ZOgAZMZAgAAAAAAO4ICAAAAAABgR1CAY7JYLJo+fbosFou7S0EzcL28D9fMu3C9vA/XzLtwvbwL18v7cM28izuvF5MZAgAAAAAAO3oUAAAAAAAAO4ICAAAAAABgR1AAAAAAAADsCAoAAAAAAIAdQQEAAAAAALAjKMAxvfDCC+rQoYMCAgI0YMAALVu2zN0lQdKDDz4ok8nU6NG1a1f7+5WVlZowYYKio6MVEhKiyy67THl5eW6suG355ptvdOGFFyopKUkmk0kff/xxo/cNw9C0adOUmJiowMBADRs2TJs3b27U5uDBg7rqqqsUFhamiIgIXX/99SotLXXhWbQtx7tm48aNO+IzN2LEiEZtuGauMXPmTJ122mkKDQ1VXFycRo0apY0bNzZq05y/A3ft2qWRI0cqKChIcXFxuuuuu1RbW+vKU2kzmnPNzjnnnCM+YzfffHOjNlwz13jppZfUs2dPhYWFKSwsTFlZWfriiy/s7/P58jzHu2Z8vjzbI488IpPJpDvuuMP+mid8zggKcFRz5szRpEmTNH36dK1cuVK9evXS8OHDlZ+f7+7SIOmUU07Rvn377I/vvvvO/t7EiRP16aef6v3339eSJUuUk5OjSy+91I3Vti1lZWXq1auXXnjhhSbfnzVrlp599lnNnj1bP/30k4KDgzV8+HBVVlba21x11VX65ZdfNH/+fH322Wf65ptvdOONN7rqFNqc410zSRoxYkSjz9x//vOfRu9zzVxjyZIlmjBhgn788UfNnz9fNTU1Ovfcc1VWVmZvc7y/A61Wq0aOHKnq6mr98MMPeuutt/Tmm29q2rRp7jilk15zrpkkjR8/vtFnbNasWfb3uGauk5ycrEceeUQrVqzQ8uXLNWTIEF188cX65ZdfJPH58kTHu2YSny9P9fPPP+vll19Wz549G73uEZ8zAziK/v37GxMmTLD/bLVajaSkJGPmzJlurAqGYRjTp083evXq1eR7hYWFhp+fn/H+++/bX1u/fr0hyVi6dKmLKkQDScZHH31k/9lmsxkJCQnGY489Zn+tsLDQsFgsxn/+8x/DMAzj119/NSQZP//8s73NF198YZhMJmPv3r0uq72t+v01MwzDGDt2rHHxxRcfdRuumfvk5+cbkowlS5YYhtG8vwM///xzw2w2G7m5ufY2L730khEWFmZUVVW59gTaoN9fM8MwjEGDBhm33377UbfhmrlXZGSk8dprr/H58iIN18ww+Hx5qpKSEiMjI8OYP39+o2vkKZ8zehSgSdXV1VqxYoWGDRtmf81sNmvYsGFaunSpGytDg82bNyspKUnp6em66qqrtGvXLknSihUrVFNT0+jade3aVe3bt+faeYDt27crNze30fUJDw/XgAED7Ndn6dKlioiIUL9+/exthg0bJrPZrJ9++snlNaPO4sWLFRcXpy5duuiWW27RgQMH7O9xzdynqKhIkhQVFSWpeX8HLl26VD169FB8fLy9zfDhw1VcXNzoGzg4x++vWYN///vfiomJ0amnnqqpU6eqvLzc/h7XzD2sVqveffddlZWVKSsri8+XF/j9NWvA58vzTJgwQSNHjmz0eZI8598xX4fsBSed/fv3y2q1NvrDJ0nx8fHasGGDm6pCgwEDBujNN99Uly5dtG/fPs2YMUMDBw7UunXrlJubK39/f0VERDTaJj4+Xrm5ue4pGHYN16Cpz1bDe7m5uYqLi2v0vq+vr6KioriGbjJixAhdeumlSktL09atW3XvvffqvPPO09KlS+Xj48M1cxObzaY77rhDZ555pk499VRJatbfgbm5uU1+Bhveg/M0dc0k6U9/+pNSU1OVlJSkNWvW6J577tHGjRv13//+VxLXzNXWrl2rrKwsVVZWKiQkRB999JG6d++u7OxsPl8e6mjXTOLz5YneffddrVy5Uj///PMR73nKv2MEBYAXOu+88+zPe/bsqQEDBig1NVXvvfeeAgMD3VgZcHIaM2aM/XmPHj3Us2dPdezYUYsXL9bQoUPdWFnbNmHCBK1bt67RHC3wbEe7ZofP59GjRw8lJiZq6NCh2rp1qzp27OjqMtu8Ll26KDs7W0VFRfrggw80duxYLVmyxN1l4RiOds26d+/O58vD7N69W7fffrvmz5+vgIAAd5dzVAw9QJNiYmLk4+NzxOyaeXl5SkhIcFNVOJqIiAh17txZW7ZsUUJCgqqrq1VYWNioDdfOMzRcg2N9thISEo6YNLS2tlYHDx7kGnqI9PR0xcTEaMuWLZK4Zu5w66236rPPPtOiRYuUnJxsf705fwcmJCQ0+RlseA/OcbRr1pQBAwZIUqPPGNfMdfz9/dWpUydlZmZq5syZ6tWrl5555hk+Xx7saNesKXy+3GvFihXKz89X37595evrK19fXy1ZskTPPvusfH19FR8f7xGfM4ICNMnf31+ZmZlasGCB/TWbzaYFCxY0Gu8Ez1BaWqqtW7cqMTFRmZmZ8vPza3TtNm7cqF27dnHtPEBaWpoSEhIaXZ/i4mL99NNP9uuTlZWlwsJCrVixwt5m4cKFstls9n/c4V579uzRgQMHlJiYKIlr5kqGYejWW2/VRx99pIULFyotLa3R+835OzArK0tr165tFO7Mnz9fYWFh9q66cJzjXbOmZGdnS1KjzxjXzH1sNpuqqqr4fHmRhmvWFD5f7jV06FCtXbtW2dnZ9ke/fv101VVX2Z97xOfMIVMi4qT07rvvGhaLxXjzzTeNX3/91bjxxhuNiIiIRrNrwj0mT55sLF682Ni+fbvx/fffG8OGDTNiYmKM/Px8wzAM4+abbzbat29vLFy40Fi+fLmRlZVlZGVlubnqtqOkpMRYtWqVsWrVKkOS8eSTTxqrVq0ydu7caRiGYTzyyCNGRESE8cknnxhr1qwxLr74YiMtLc2oqKiw72PEiBFGnz59jJ9++sn47rvvjIyMDOPKK6901ymd9I51zUpKSow777zTWLp0qbF9+3bj66+/Nvr27WtkZGQYlZWV9n1wzVzjlltuMcLDw43Fixcb+/btsz/Ky8vtbY73d2Btba1x6qmnGueee66RnZ1tzJs3z4iNjTWmTp3qjlM66R3vmm3ZssX461//aixfvtzYvn278cknnxjp6enG2Wefbd8H18x1pkyZYixZssTYvn27sWbNGmPKlCmGyWQyvvrqK8Mw+Hx5omNdMz5f3uH3K1N4wueMoADH9Nxzzxnt27c3/P39jf79+xs//viju0uCYRijR482EhMTDX9/f6Ndu3bG6NGjjS1bttjfr6ioMP7v//7PiIyMNIKCgoxLLrnE2LdvnxsrblsWLVpkSDriMXbsWMMw6pZIfOCBB4z4+HjDYrEYQ4cONTZu3NhoHwcOHDCuvPJKIyQkxAgLCzOuvfZao6SkxA1n0zYc65qVl5cb5557rhEbG2v4+fkZqampxvjx448ITblmrtHUdZJkvPHGG/Y2zfk7cMeOHcZ5551nBAYGGjExMcbkyZONmpoaF59N23C8a7Zr1y7j7LPPNqKiogyLxWJ06tTJuOuuu4yioqJG++GaucZ1111npKamGv7+/kZsbKwxdOhQe0hgGHy+PNGxrhmfL+/w+6DAEz5nJsMwDMf0TQAAAAAAAN6OOQoAAAAAAIAdQQEAAAAAALAjKAAAAAAAAHYEBQAAAAAAwI6gAAAAAAAA2BEUAAAAAAAAO4ICAAAAAABgR1AAAADcZseOHTKZTMrOznbaMcaNG6dRo0Y5bf8AAJxsCAoAAECrjRs3TiaT6YjHiBEjmrV9SkqK9u3bp1NPPdXJlQIAgObydXcBAADAu40YMUJvvPFGo9csFkuztvXx8VFCQoIzygIAAK1EjwIAAHBCLBaLEhISGj0iIyMlSSaTSS+99JLOO+88BQYGKj09XR988IF9298PPTh06JCuuuoqxcbGKjAwUBkZGY1CiLVr12rIkCEKDAxUdHS0brzxRpWWltrft1qtmjRpkiIiIhQdHa27775bhmE0qtdms2nmzJlKS0tTYGCgevXq1aim49UAAMDJjqAAAAA41QMPPKDLLrtMq1ev1lVXXaUxY8Zo/fr1R23766+/6osvvtD69ev10ksvKSYmRpJUVlam4cOHKzIyUj///LPef/99ff3117r11lvt2z/xxBN688039frrr+u7777TwYMH9dFHHzU6xsyZM/XPf/5Ts2fP1i+//KKJEyfq6quv1pIlS45bAwAAbYHJ+H3MDgAA0Ezjxo3T22+/rYCAgEav33vvvbr33ntlMpl0880366WXXrK/d/rpp6tv37568cUXtWPHDqWlpWnVqlXq3bu3LrroIsXExOj1118/4livvvqq7rnnHu3evVvBwcGSpM8//1wXXnihcnJyFB8fr6SkJE2cOFF33XWXJKm2tlZpaWnKzMzUxx9/rKqqKkVFRenrr79WVlaWfd833HCDysvL9c477xyzBgAA2gLmKAAAACdk8ODBjYIASYqKirI/P/yGvOHno61ycMstt+iyyy7TypUrde6552rUqFE644wzJEnr169Xr1697CGBJJ155pmy2WzauHGjAgICtG/fPg0YMMD+vq+vr/r162cffrBlyxaVl5frD3/4Q6PjVldXq0+fPsetAQCAtoCgAAAAnJDg4GB16tTJIfs677zztHPnTn3++eeaP3++hg4dqgkTJujxxx93yP4b5jOYO3eu2rVr1+i9hgkYnV0DAACejjkKAACAU/34449H/NytW7ejto+NjdXYsWP19ttv6+mnn9Yrr7wiSerWrZtWr16tsrIye9vvv/9eZrNZXbp0UXh4uBITE/XTTz/Z36+trdWKFSvsP3fv3l0Wi0W7du1Sp06dGj1SUlKOWwMAAG0BPQoAAMAJqaqqUm5ubqPXfH197RMAvv/+++rXr5/OOuss/fvf/9ayZcv0j3/8o8l9TZs2TZmZmTrllFNUVVWlzz77zB4qXHXVVZo+fbrGjh2rBx98UAUFBbrtttt0zTXXKD4+XpJ0++2365FHHlFGRoa6du2qJ598UoWFhfb9h4aG6s4779TEiRNls9l01llnqaioSN9//73CwsI0duzYY9YAAEBbQFAAAABOyLx585SYmNjotS5dumjDhg2SpBkzZujdd9/V//3f/ykxMVH/+c9/1L179yb35e/vr6lTp2rHjh0KDAzUwIED9e6770qSgoKC9OWXX+r222/XaaedpqCgIF122WV68skn7dtPnjxZ+/bt09ixY2U2m3XdddfpkksuUVFRkb3N3/72N8XGxmrmzJnatm2bIiIi1LdvX917773HrQEAgLaAVQ8AAIDTmEwmffTRRxo1apS7SwEAAM3EHAUAAAAAAMCOoAAAAAAAANgxRwEAAHAaRjgCAOB96FEAAAAAAADsCAoAAAAAAIAdQQEAAAAAALAjKAAAAAAAAHYEBQAAAAAAwI6gAAAAAAAA2BEUAAAAAAAAO4ICAAAAAABgR1AAAAAAAGiWF154QR06dFBAQIAGDBigZcuWubskOAFBAQAAAADguObMmaNJkyZp+vTpWrlypXr16qXhw4crPz/f3aXBwUyGYRjuLgIAAAAA4FpVVVWqqqpq9JrFYpHFYmmy/YABA3Taaafp+eeflyTZbDalpKTotttu05QpU5xeL1zH190FtGUhARnuLsEtUnx7ubsEt4i1Rbm7BLeI8G36H5qTXaylbXbYig1om9lzrKXW3SW4RXJwubtLcIvEkCJ3l+AWyfFt8xvDqJR97i7BLQITD7i7BLewTPHOz7dV/27VdjNnbtaMGTMavTZ9+nQ9+OCDR7Strq7WihUrNHXqVPtrZrNZw4YN09KlS1t1fHguggIAAAAA8GI2m7VV202dOlWTJk1q9NrRehPs379fVqtV8fHxjV6Pj4/Xhg0bWnV8eC6CAgAAAADwYobRup5txxpmgLatbfaNBQAAAAA0W0xMjHx8fJSXl9fo9by8PCUkJLipKjgLQQEAAAAAeDHDsLbq0RL+/v7KzMzUggUL7K/ZbDYtWLBAWVlZjj4luBlDDwAAAADAi9laOfSgpSZNmqSxY8eqX79+6t+/v55++mmVlZXp2muvdcnx4ToEBQAAAADgxVo7R0FLjR49WgUFBZo2bZpyc3PVu3dvzZs374gJDuH9CAoAAAAAwIu5KiiQpFtvvVW33nqry44H9yAoAAAAAAAvZthcFxSgbSAoAAAAAABv5sIeBWgbCAoAAAAAwIu5cugB2gaCAgAAAADwZrYad1eAkwxBAQAAAAB4MXoUwNEICgAAAADAmzGZIRyMoAAAAAAAvBlBARzM7O4CAAAAAACA56BHAQAAAAB4M+YogIMRFAAAAACAFzMx9AAORlAAAAAAAN6MoAAORlAAAAAAAN6MoAAORlAAAAAAAF7MxBwFcDCCAgAAAADwZjaruyvASYagAAAAAAC8GJMZwtEICgAAAADAm9GjAA5GUAAAAAAA3oweBXAwggIAAAB4LrOPTD4+MmprJMNwdzWuY/ape1jb2HmbfCSzr2StltSGzvsEmehRAAczu7sAAAAA4Ghixk9S2pxFCuje292luFTg5TMU8cQG+Xbs7+5SXMr33MdluStfpvZnursUoE2jRwEAAAAAeDN6FMDBCAoAAAAAwIsx9ACORlAAAAAAAN6MoAAOxhwFUGRkuC67/Hx3l+Fy4ZEhOu+yM9xdhsuFRgZpyGX93F2Gy4VEBumsS/u6uwyXC44I0mmj+ri7DJcLjAhSzwvb3nkHhAepy/mZ7i7D5fzDgpUyvG2N45Yk39AQxQ5lHDeAuh4FrXkAR0OPAug/772oM87sp6ioCL36yjvuLsdlnvvPXco8o5siokL1n1e/dHc5LvPwu/+nnmd2Ulh0sD5+ZYm7y3GZe/99g7qf0VGhUcH64rVv3V2Oy0x463plnJ6ukMhgLXrjO3eX4zLXvHqDOvRPV1BksH78Z9s574teuknJ/ToqIDJYq//9jbvLcZkzn7pNsX07yxIeoi3vLXR3OS7TfeYUhffqJt+wUO37aJ67ywHgTtz0w8HoUQA9OO0JlZaW66lnZ+imm692dzku89SD76i8tFLTnhqvP900wt3luMwr0z9SRWmVJj19lS69ebC7y3GZf834VJWlVbrlyT9q5I1nu7scl/nvw5+pqqxaV8+6QkOuH+juclzmy0c/VXVZtUY9/EdljW075/3d45+ourxKw2aMUe9rBrm7HJdZ+9wHqi2vUuZ9f1anMUPdXY7L7Hj5bVkrKpVx501Kuuw8d5cDwI3oUQBHIyhohv3792vWrFm65JJLlJWVpaysLF1yySV67LHHVFBQ4O7yTtiPS1dq1IXXqqioRE88PV0333KNu0tyiVU/btT4UQ+ppKhMDzxxg666uW38J2vdj1t150XPqLSoQnc8eWWbCQvW/7Rd0y99UWVFFbrp8Ss08qa2ERZsWbZdT/3xJZUXV+iqRy7XkBvaxk3zzuXb9frVL6qyuEIXP3SFzhjXNq53zspt+vDa51VVUqGh00erzzXnuLskl9ifvUVLbnlc1SXlypx6jTKuHObuklyieO0GrZ34V9WWlqnTpBuV1AaHEQKoZ7O27gEcBUMPjuPnn3/W8OHDFRQUpGHDhqlz586SpLy8PD377LN65JFH9OWXX6pfv2OP+a6qqlJVVVWj1wzDkMlkckrdr/xjlvr169mibWw2myTp8aem6cDBQr0/51NnlOZUj7xym3r069SibWw2Q5J0/+PXq/BAiea+733dlO999Vp165fWom2M+ut9x5NXqvhgmb5+b5kzSnOqO16+Rp0zU1u0jVF/vW967AqVHCzTN++vcEZpTnX981cprW/rzvuqmZer7GC5fvqv9533H5+6Wsm9W3feF/3tcpUVlmn1x9533iMeG6vEnq077yHT/6iKwlJt+HS5M0pzqgEPjVfUqekt28ioO+++U65WVWGpdn3xoxMqc64u9/9Fod0zWrRNw/XuNHG8aopKVDC/7QyvAlDHVP//OsBRCAqO47bbbtMVV1yh2bNnH3FTbxiGbr75Zt12221aunTpMfczc+ZMzZgxo9Frfj6R8veNdnjNkpSSkqTOXTq2evvYmCgHVuM6iSkxSu/crtXbR8WGObAa14lPiVJql4RWbx8RE+LAalwnNjlSyZ3jW719uJeed1RypBIzWn/eoV563hHtIhXXqfXnHRLlnecdlhSpqI6t/3wHRoU6sBrXCUqIVlhaYqu3t0R653lb4mMVlJrc6u39IsIdWA0Ar0HvADiYyTDq43c0KTAwUKtWrVLXrl2bfH/Dhg3q06ePKioqjrmfpnoUJMb2dVqPgpZK7ZCsz7/8l1JTk/XK7Lc16Y4Zx9+olVJ8ezlt3y3VLjVOb33+oNqlxumdV+bpb5Nec9qxYm2eE74kpkbr6XmTlZgao49eXqSnJv7HaceK8LU4bd8tFZ8arYc+u03xqdGa++o3enny+047VqzFc0Z2xbSP0l0f3aqY9tFa+Pq3+vc9HzjtWLEBnvNPSmRKlG6cc5siU6K19K1v9cn9zrzetU7bd0uFJUfrj2/fofDkaGW/vUQLHpzjtGMlB5c7bd8tFdwuRoNfnaLgdjHa/O4CrZz5L6cdKzGkyGn7bqmAxDj1fO5vCkiMU86HX2jLk6847VjJ8flO2/fv+SWmqPZggYyqSsXcdJfCho9SzgO3qvKXVfJLSVNNzi7J6pobo6iUfS45jiSZY9NkK8qVqisU+MeHZDnzTyp97krVbvlJ5oQM2fK3SzbX/H0TmHjAJceRJFNkRxml+6SacvkOf0o+fa5T9TsjZez6TqaYrjIObnHZeVumeM7nuyWqf+zdqu38T892aB04eXjO/2Q9VEJCgpYtO3qX7GXLlik+/vjfcFksFoWFhTV6eEpIkJbeXvPm/1upqcma/eI/nRoSeJKUtHj9c94MtUuN09uzP3dqSOBJktJi9exXdykxNUYfvrTQqSGBJ0lIi9HfP/+L4lOj9dnLS5waEniS2A7RuvuTvyimfbQWvPaNU0MCTxKVGqOb3v+LIlOi9cMbS5waEniS8PYxGv3ORIUnR2vVPxc7NSTwJMHJsRr8j6l1IcF/vnZqSOBJAtolqOfzDykgMU57P5jr1JDAlfwSU5T095eUcP8TMgUENnrP0vkUtZv5suLvethN1TmPOTZNIbfPUchNb0j+QY3e8+nQR6ETP1DwdS+4qTrnMUV2lN/VX8rvjx9IfsGN30s6TX7XzJfvJf90U3Xew2TYWvUAjoahB8dx55136sYbb9SKFSs0dOhQeyiQl5enBQsW6NVXX9Xjjz/u5ipPzGuvP66UlCS9+PxbuvvOh9xdjsvMeu0vSkqJ1T9fnKuZd7/h7nJc5v7Xr1N8SpQ+eGGBnr2rbdxESNKkV/+s2JQo/e+lxXrtng/dXY7LjH/xGkUnR+rrV5boP/f9193luMzoZ65RRLsoff+Pxfr0wbZz3uc/MU5hSVFa+eYiLXqobYQjknT6329ScGK0Nv37K62a1XaW+e067Q4FJMRq73ufaesz/3B3OQ5TeyBfVTu2KKjXaUp84AnVFORJkgK6nKqIS6+ROShYFdneN6/O8dgK98mas1F+Xc5UyC1vynZwryTJp0NfBfzhZpkCQlWzwfvmUToeoyRHRsEvMnc4R35//FBG8W5Jkjmpv3yyJspkCZNte9tZ9hTwFAw9aIY5c+boqaee0ooVK2St7+bm4+OjzMxMTZo0SX/84x9btd+QgJZNVuQs6ent9ccxF+mRvz/vkuN5ytCD9ukJuuCPZ+nFR1zzDaunDD1olx6rYaP7662Zc11yPE8ZepCYHqOzr+inOY+6Zq1xTxl6EJcWowGXZurTJ750yfE8ZehBdIcY9b64nxY846rr7RlDDyJSY9X1wn768fkvXHI8Txl6EJISp/bnn65fX/6fS47nKUMPAtolKO7cs7XrjfdccjxXDj0w+fsrfsqjCurdv9Hrhs2m/a8+oZIvP3ZZLa4ceiA/i4JveEV+XRuvUGPYbKr4YLqqv/+3y0px5dAD+QbI77L/yJw2pNHLhmFT7Vd3yrbKdUGYtw49qPn+lFZt53fmLw6uBCcLgoIWqKmp0f79+yVJMTEx8vPzO6H9eUpQ4GqeEhS4mqcEBa7mKUGBq3lKUOBqnhIUuJqnBAWu5ilBgat5SlDgaq4MCiTJ5Oev+CkzFdTndEn1IcErT6jkq49dWodLgwJJ8vVX8A0vy6/bIEkNIcE0VX/v2t4yLg0KJMnHIr/L3pE5vW55U8OwqfbLybJlv+7SMrw2KPi2W6u28xu43sGV4GTRNv8n20p+fn5KTExUYmLiCYcEAAAAODqjplp5j0xV+YqldSHBy4+5PCRwi9pqlb12k2p+XVwXErx3v8tDArewVqnmwz/JuvWrupBg3kSXhwRezWZr3QM4CuYoAAAAgEcyaqqVO/NumQODZSsrcXc5rlNbrbJXbpApIERGRbG7q3Eda5VqPxgt+YdJVYXursarmFgeEQ5GjwIAAAB4LputbYUEDQxb2woJGhg2QoLW8KAeBTt27ND111+vtLQ0BQYGqmPHjpo+fbqqq6udcjw4Bz0KAAAAAMCbedAwgg0bNshms+nll19Wp06dtG7dOo0fP15lZWVev1pcW0JQAAAAAADerJVBQVVVlaqqqhq9ZrFYZLG0fjLqESNGaMSIEfaf09PTtXHjRr300ksEBV6EoQcAAAAA4M1s1lY9Zs6cqfDw8EaPmTNnOry8oqIiRUW1zRXAvBU9CgAAAADAi5la2aNg6tSpmjRpUqPXTqQ3QVO2bNmi5557jt4EXoYeBQAAAADgzVo5maHFYlFYWFijx9GCgilTpshkMh3zsWHDhkbb7N27VyNGjNAVV1yh8ePHu+J3Ag5CjwIAAAAA8GYumMxw8uTJGjdu3DHbpKen25/n5ORo8ODBOuOMM/TKK684uTo4GkEBAAAAAOCYYmNjFRsb26y2e/fu1eDBg5WZmak33nhDZjMd2b0NQQEAAAAAeDMPWh5x7969Ouecc5SamqrHH39cBQUF9vcSEhLcWBlagqAAAAAAALyZzXB3BXbz58/Xli1btGXLFiUnJzd6zzA8p04cG31AAAAAAMCbtXIyQ2cYN26cDMNo8gHvQY8CAAAAAPBmHjT0ACcHggIAAAAA8GYeNPQAJweCAgAAAADwZgY9CuBYBAUAAAAA4M3oUQAHIygAAAAAAG9GUAAHIygAAAAAAG9GUAAHIygAAAAAAC/GFAVwNLO7CwAAAAAAAJ6DHgUAAAAA4M0YegAHIygAAAAAAG/G0AM4GEEBAAAAAHgzggI4GEEBAAAAAHgzRh7AwQgKAAAAAMCLGTaTu0vASYagAAAAAAC8GUMP4GAEBQAAAADgzehRAAcjKAAAAAAAL8bQAzgaQYEb+fuEuLsEt6g11bq7BLeopU9Ym2K00UmFgn3b5oknBVW4uwS3SI8qcHcJbpGYmOfuEtwivF3bPG9rpcXdJbiFT59wd5eAliAogIMRFAAAAACANzMICuBYBAUAAAAA4MUYegBHM7u7AAAAAAAA4DnoUQAAAAAA3szG979wLIICAAAAAPBmDD2AgxEUAAAAAIAXM5jMEA5GUAAAAAAA3oyhB3AwggIAAAAA8GKsegBHIygAAAAAAG9GUAAHIygAAAAAAC/GHAVwNIICAAAAAPBmzFEAByMoAAAAAAAvxhwFcDSCAgAAAADwYgw9gKMRFAAAAACAN2PoARyMP1EAAAAAAMCOHgUAAAAA4MWYowCORlAAAAAAAF6MOQrgaAQFAAAAAODNmKMADsafKAAAAADwYobN1KqHs1VVVal3794ymUzKzs52+vHgOAQFAAAAAODFDMPUqoez3X333UpKSnL6ceB4BAUAAAAA4M1s5tY9nOiLL77QV199pccff9ypx4FzMEcBAAAAAHix1g4jqKqqUlVVVaPXLBaLLBbLCdWTl5en8ePH6+OPP1ZQUNAJ7QvuQY8CAAAAAPBirR16MHPmTIWHhzd6zJw58wRrMTRu3DjdfPPN6tevn4POEK5GjwIAAAAA8GKt7VEwdepUTZo0qdFrR+tNMGXKFD366KPH3N/69ev11VdfqaSkRFOnTm1VTfAMBAUAAAAAPEKtVbLaJD8fyUzf52YzjNb9ZrVkmMHkyZM1bty4Y7ZJT0/XwoULtXTp0iP2269fP1111VV66623WlUrXIugAAAAAIBHePgDP733va/euK1K/TNs7i4Hh4mNjVVsbOxx2z377LN66KGH7D/n5ORo+PDhmjNnjgYMGODMEuFABAUAAAAA4M1aOfTAGdq3b9/o55CQEElSx44dlZyc7I6S0AoEBQAAAADgxQzDc4ICnBwICgAAAADAi7V2MkNX6NChgwzDcHcZaCGmCIEiIsN0yWXnursMlwuPDNH5l57p7jJcLjQyWEMvO83dZbhcSGSQzrq0r7vLcLngiCCdNqqPu8twuYDwIHUf2faut39YsNoP7+/uMlzOJzREUYMHursMlzMFhynw9D+4uwzXC4yQb68L3V2Fy5mCwuXX93x3lwEPZRjmVj2Ao6FHAfSv/zyprDP7KDIqXK+/+r67y3GZF9+Zon5ndFdEVJjeee0Ld5fjMo+8+3/qdWaGwqOD9d9XFru7HJe59983qPsZHRUaFawvXvvW3eW4zK3/vF4Zp6crJDJYi974zt3luMwfX75B7U/rqMDIYK14u+1c74FP36rYvp3lHxGsLXMWubscl+n0t/sV2uMU+YSFqeCTue4ux2ViJj0m/y59VBgSrrKvP3B3OS4TOPZV+aT1V1VQpGqW/tPd5bhM8A0vyadjP1UER6r623+7uxx4GE/uUQDvRIwEPfTgcyorLdfjT9+rG24a7e5yXOaJGW+rvLRSM566SVff2HYS+tnTP1JFaZXufPpqXXbzYHeX4zL/mvGpKkurdMuTf9TIG892dzku8+FDn6mqrFrXPHaFhlzfdr5xXfjYp6ouq9L5f/uj+v257Vzv1c9+qNryKp1235+VMWaou8txmb2vvSVbRaU63PF/iht1gbvLcZmiOS/KqCxX5HVTFHzuH91djstUz3tUqi5TwKUPy++Mse4ux2UqPn1cqipX0B9nyP/sa9xdDjyMYZha9QCOhqAA+unH1br84gkqLirRrCenaPzNY9xdkkus/HGDrr1khkqKyjT9iRt1zU0j3V2SS6z9cYsmXvSUSovKNfnJq3T5zUPcXZJLrP9pu6Zf+qLKiip00+NXaORNbePmccuy7XryipdUXlyhqx+9XENvaBthwZ4V2/XvsS+qsrhC5824QqeNbRvXe3/2Fi26+QlVl5Sr371XK+PKthEWlK5br413P6Da0jKl3n6L4i5pG93Sqzet1v5Hb5OtvFSR4+5W8LltI+y37liu8teullFRrIBLHpLfmePcXZJLWLevVOmL18qoKFHQFdMJC9AIQQEcjaEHDrB7925Nnz5dr7/++lHbVFVVqaqqqtFrhmGTyeScrObFV/+mvpmntGgbm61ukpFHn7hHBw8W6sP35jmjNKea9fLt6tkvo0XbNJz3tMfHq/BgiT59/xtnlOZUD7x6nbr3S2vRNg3nPenJP6noYKnmv7fMGaU51R0vX6POmakt2saoP++bHrtCJQfL9M37K5xRmlPd8MJVSuvbuvO+6pHLVXqoXD996H3nffET1yipVwvPu37ypBEPXqGKQ2Va9z/vO+/TH75B0aemt2yj+vPuN/VqVReVaefnPzqhMudKmzpJwV07t2yj+vNO/cvNqi0u1sEFS5xQmXNF3jJD/h1b9u+3jLq15iPH3SVbaaEqfvjSCZU5V8CYp2RO6d2yjerPO2DU32SUFao2+2OH1+VsQdc8Jp/Uni3axjBsMkkKumK6jLJC1az41DnFwasw9ACORlDgAAcPHtRbb711zKBg5syZmjFjRqPXAnzjFeif6JSakpMT1LlLy24cDxcTE+nAalwnKSVWHTu3fn3WqJgwB1bjOvEp0Urt0vo/S5ExoQ6sxnVikyOV3Dm+1duHx4Q4sBrXiUqOVGJG6887NNo7zzssKVIxHVt/3kFR3nneQQnRCktr/efbEumdn2//uFgFtk9p9fZ+EeEOrMZ1fKMT5JfUodXb+4R557/fpoh28onr1PrtQ6IcWI3rmCOT5BPfsdXbe+t5w/GYmBCOZjJYq+K4/ve//x3z/W3btmny5MmyWq1HbdNUj4LUhIFO61HQUu1Tk/S/L15V+9QkvfbyHN096RGnHSva3LJvBJ0pOTVO/5r7kJJT4/T2K59rxuRXnHasWGuM0/bdUompMXp+3p1KTI3Rhy8v1BMT33HasWJ8A52275aKT43WQ5/dpvjUaM199Ru9PNl5k3fG+HvGZ1uSYtpH6e6Pb1VM+2gt/Me3evse5016lhZqc9q+WyoiOVrX/Oc2RSRH6+d/faN505x3vTuFljpt3y0V3C5GQ167RyHtYrTp3QVa8fe3nXasTtH5Ttt3S/knxKvrUzNlSfj/9u48Por6cOP4s5tjc5CE3AmQBCK3KD8OwXAUChRKEaFWsIgCoqI2KghSSQFBEQKiVAQ5PBpQvPBABYuIgqgF5RIKKIJcUblUIIGELJCd3x/UtJEjJM7uZLKfN6/5I7PHPGOQTJ79fr+TqENvLVHu9NleO1Zy8iGvvXd5BcTXUPyYOQqMr6ET7y/UsXmPeu1YUTUrz3k7olMUduercsak6NTq+XIvGuO1YxUXubz23uXljK2lavcskDO2ltwfL9DJ18Z77VjVrjnltff+pb2HHUqIMhTmkh56NUgL/xWonHvcalXPo28OOJSWYCgowDdZArvl+uZAJvv2zxW7o1XKK+tMToKqghEFl6B3795yOBwXvf+nw3Hx4T4ul0suV+kfNJWlJKhdp5beWfq0aqUk6+nZr2jU/VOsjuQTqXWS9MK7E1QjJV7Pz3lXE0Y+Y3Ukn6hZJ14z3rtfSSmxem32h/r7iJetjuQTSXXiNHHJPYpPidGSuav09Ej/WCE8vnas/vrWPYqtFa0PnvlYL2W9YXUkn4hOjdPNL92jqJoxWjt/lZaN94/vd7Va8er03AMKT47Vjpc+0IbJ/rEyuqtGkhpMy5YrMUGH3lys3BlzrI7kEwEJNRU/Zq4C45J0YtmrOjZ/qtWRfMIRm6awO16VM7qmTn2aI/fbD1odySeccalnS4KYGnKvel4nX3/Y6kim2HvYoZufcKlOokez7yxdTmza49SQWcFqVc+jGbefUhmX236N9QZgtsrxm2oll5ycrDfffFMej+e828aNG62O+KvMfW6iaqUka+6sl/ymJJCkx54dphop8Zo/a7HflASSNO4ftykpJVYLn/rAb0oCSRr+zADFp8Tondkf+U1JIEm3z75ZsbWitXzuKr8pCSSp998HKKpmjD7P+chvSgJJysgeovDkWH394nK/KQkkKf1v958tCd54229KAkmKyZygwLgkHX/vZb8pCSQptN/0syXBJ8/5TUkgSWEDHj9bEnw0r8qUBJKUWN1Q/RoebdgVoDtmB6ug6Oz+zf8pCQrcDrVpWExJAPgYUw8uwbXXXqv/+7//08MPn/8f5c2bN6tZs2byeMo35DYmvJkZ8X61Oukpur5vd02d7L1h9/+rskw9SE1P0rV9fqOZUxb65HiVZepBzfQEdb2hlXKyl/jkeJVl6kFyepx+06elXp3im0U6K8vUg4Q6cWr9pxZa/JhvFjerLFMPotPi1OTalvpkhm++35Vl6kG1lASl/eFqbZt78SlzZqksUw9cNZIV26Wj9j/vm/Kzskw9CEispbA2v9fxRc/65HiVZeqBI7a2gpr10qkPpvvkeJVl6oEzLk1BLXvK/d5MnxzPl1MPik5J9zwTrNVfl55f4HAYGnP9af25/YWn95rNrlMP9vVtXaHXpS383OQkqCooCi7BJ598ooKCAv3+978/7+MFBQVav369OnToUK73rSxFga9VlqLA1ypLUeBrlaUo8LXKUhT4WmUpCnytshQFvlZZigJfqyxFga9VlqLA1ypLUeBrviwKJMl9+mxZ8K/tZ8sCh8PQ2D6ndUM735UEkn2Lgr3XX12h19V+3X53xYFvsEbBJWjf/uL3HQ8PDy93SQAAAADgLFeQNOP2Uxr6XLA+/cqpB/ueVt+2vi0J7Iw1CmA2igIAAAAAlnMFSU8NOaUTRVJUmNVp7IXbI8JsFAUAAAAAKoUAJyVBRXgYUQCTURQAAAAAgI0ZHooCmIuiAAAAAABsjDUKYDaKAgAAAACwMYoCmI2iAAAAAABsjKIAZqMoAAAAAAAb83DXA5iMogAAAAAAbIzFDGE2qicAAAAAAFCCEQUAAAAAYGOsUQCzURQAAAAAgI1RFMBsFAUAAAAAYGMeigKYjKIAAAAAAGyMEQUwG0UBAAAAANgYRQHMRlEAAAAAADbG1AOYjaIAAAAAAGyMEQUwG0UBAAAAANgYRQHMRlEAAAAAADbG1AOYjaIAAAAAAGyMEQUwm9PqAAAAAAAAoPJgRAEAAAAA2BgjCmA2igIAAAAAsDHWKIDZKAoAAAAAwMYYUQCzsUYBAAAAANiYx3BUaPOmd999V61bt1ZoaKiio6PVu3dvrx4P5mJEAQAAAADYmKHKNaLgjTfe0O23365JkyapU6dOOnPmjLZu3Wp1LJQDRQEAAAAA2Fhlmnpw5swZDR06VFOnTtWtt95asr9x48YWpkJ5MfUAAAAAAGysolMP3G638vPzS21ut/tXZdm4caO+//57OZ1ONWvWTMnJyerevTsjCmyGogAAAAAAbMwwHBXasrOzFRUVVWrLzs7+VVl2794tSRo/frzGjBmjJUuWKDo6Wh07dtSRI0fMOF34AFMPLJRftNfqCJY4HVxodQRLnApMszqCJcKLL7M6giWOnfbPf14PnvTP/jnAEW51BEu4i5OtjmAJh8OwOoIlzpzyz3/XUm7ZZ3UESxQ1aGt1BEvY9W95RRcmzMrK0vDhw0vtc7lc533uqFGjNGXKlIu+31dffSWPxyNJGj16tP70pz9JknJyclSrVi299tpruuOOOyqUFb5l1/8XAAAAAACq+BoFLpfrgsXAL40YMUKDBg266HPS09N14MABSaXXJHC5XEpPT1dubm6FcsL3KAoAAAAAwMY8PrjrQXx8vOLj48t8XosWLeRyufT111+rXbt2kqTTp09r7969SkvzzxG2dkRRAAAAAAAwRWRkpO68806NGzdOKSkpSktL09SpUyVJffr0sTgdLhVFAQAAAADYWGW6PaIkTZ06VYGBgbr55pt18uRJtW7dWitWrFB0dLTV0XCJKAoAAAAAwMYqupihtwQFBemxxx7TY489ZnUUVBBFAQAAAADYWGUbUQD7oygAAAAAABvzWB0AVQ5FAQAAAADYGCMKYDaKAgAAAACwscq2RgHsj6IAAAAAAGzMEEUBzEVRAAAAAAA2xogCmI2iAAAAAABszGNYnQBVDUUBAAAAANgYUw9gNooCAAAAALAxph7AbE6rAwAAAAAAgMqDEQUAAAAAYGMGaxTAZBQFAAAAAGBjHtYogMkoCgAAAADAxgzWKIDJKAoAAAAAwMZYzBBmoygAAAAAABtjiQKYjaIAAAAAAGyMEQUwG0UBAAAAANiYx+oAqHIoCgAAAADAxljMEGajKAAAAAAAG2PqAczmtDoA4CuBgYFKSIyzOobPBQYGKD4h2uoYgFc5A52KjI+wOobPOQOdCo/zv/N2BAYoNC7S6hjwlYAABVSPsToFfORMsSH3KY88HpbnKw+jghtwIRQF8AshIS69+fYz2rX3X7rjrpusjuMzrpBgzX9zotbvelWD7uhldRzAK4JCgpT50p3K3vKIOtza3uo4PhPoCtINOX/R0LXZajmgg9VxfCbAFaTfzRmqG1ZNU8MbO1kdB17mCHYpcfQTSnn2n4ro3sfqOPCBKTP3K6PnNm3cUmB1FMCvMfUAVV5oaIhee3OuOnS8WpL02LSxcjqdmv3U8xYn866QUJdyXpugNh3+T5L00GOZcjgdypn9lqW5ADMFhQbprheGqEG7+pKkvhOvl8Ph1EfPrrI4mXcFhgSp77N3qnabBpKkruP7yOF0aN28j6wN5mUBIcHqMuseJbduJEm6evSNcjgd+mrBhxYngzc4gl1KyHpcoVe0lCTF3jpCcjh0/J8LLU4GVD5MPYDZKApQpYWFher1RXPV/jet5fF45HQ65fF49Ohjo+VwODRr5nyrI3pFaFiIcl6foIz2TUud9/hH/yKHw6F/zFpkdUTgVwsOC9ZdC4aofpt6pf6e93nkOjkc0spnqmZZEBQarL7P3aW0q+vJ8HjkcDpleDz63YPXSw5pXc5HVkf0isDQYHWZNVRJrRqUOu/WWf3kcDj05QsfWB0RJnK4QpT4t2kKubx5qe937ODhcjgcyn/3VasjApUKdz2A2Zh6gCorPDxMb779jNr/prVWffSZXnn5HUnS2NFTdfRonqZM/ZvuvneQtSG9ICw8RPPfnKiM9k21etUmLXrl7Cdt2WOfVd7R4xo35S7ddvefLE4J/DqusGBlvniH6repp68/3aF1b6yXJL014R0VHivU9ROuU6c7Olob0guCwoJ1Q85flHZ1Pe1d/bW2vrVOkrRi8ts6mVeo3429Xq1urXrD8QPDXOoyZ5iSWjXQgc+/0q7Fn0mS1j/+utx5BWo16s9qPPB3FqeEWRwhoUoc/XeFXN5cJ7esV8En70mSji6YqeIT+Yq55T5FXtPP4pRA5WIYjgptwIVQFEDR0dXVp+8frY5husTEOF12WZpWrlitPtfdoZOFRZKkjRu2qtc1g3X0aJ5atW5mcUrzxSfGqM5lNfTpyo26pc9YnTzpliT9e+MO9e81SnlHj6t5q0YWp/S9iOgwdfhTC6tj+Fy16DC1va651TFMF5kQqfj0eG3/+GvNvvlpnSo8LUnK3fytZtwwS4XHClWnZW1rQ3pBtfhIxdSO155/bdfC2+bodNHZ8z6wJVcvD5ipk3mFqtmstrUhvSA0LkqRaQnav+ZLffCXGSouOiVJ+mnbPr1/+zS58wqU0PQyi1P6XkBENUV3/I3VMUwXUD1WgckpOvnvdTqcPUKG++zP71O7tuvQhHtVfCJfrgZNLE7pe8cKpKVfMBgY5+ep4AZcCP/aQG+8sUDt2mcoNiZGc+Y8Z3Uc0+zenasuv+2nQ4d+UFGRu9RjX2zcqk6/6as9e761KJ337Nu9X9d1uU+HDx2R+z8X0z/b8sVO9ep0r3L3HLAonXXGv3yHmrStq8iYcC1+5mOr4/jMAwtuU6M2lykiJlzvPfuJ1XFM88PeH/V4zyeUf/h4yS/LP8vd/K2m/mGaftz3k0XpvOfovh81//ppKvghX2fcpc/74JZczb/uMR3N/dGidN5zPPew/tl/sk7+mKfiX5z3T9v26d1+k3T8ux8sSmedug+PVbUrLlduZIR+eOddq+OY5szB73Rw9O0qPnZExqnSP79P7dquA1m36syh/Rals869OWHasCdAxwqL1K/t6bJfAL/C6ACYjREF0JgxE3TixAnNfOox/eUvt1sdx1T79n13Tknws2++2avi4mIfJ/KNb/cdPKck+Nmeb75XcbH/dcj/GP+2Tp5w694n+qnXHf6zQvyLDy9W0Qm3hjzeV91vr1qfPP6Ue+SckuBnh3f/IE8V/Xue991P55QEPzuy57CMKnreJ77/8ZyS4Gf5+w5V2fO+mO+fnS/PySKlDctUfO9rrI5jqjOHD5xTEpQ8duBbyVM1f35fzLAeboUFSxPeCNWLnwRZHQeVjMeo2AZcCEUBtHr15/pD9+uVl5evJ2c8qszMqlUWAJK07bPdyuo1QwV5J3X3tD+r150drY7kE9s/36OHr5ulgryTuv2xPvrDkKpVFgD+7MS2L7XjgTE6c6JAaff+RQl/7Gl1JHhR8zrFeuaOQlULMTRxUagWUBbgfxgV3IALYerBJTh58qQ2bNigmJgYNW7cuNRjRUVFWrhwoQYMGHDR93C73XK7SzfjhmHI4fDOMKGcebN11VXlm5fs8Zz9NGb6k4/qpyNH9crLr3sjGmCavz4zUA1a1C7Xazz/qc/vfvwG5R8p0MqF67yQzLvunXOz6rZIK9drDOPsed82tY+OHynQJ69v8EY0AL9S7VEjFN6wfvleZJz9+Z16z106k3dcR1Z8ZH4weMWol0K0JTegXK9x/ufScdKiUFUPM3RNizNeSAa74faIMBtFQRl27Nihrl27Kjc3Vw6HQ+3atdMrr7yi5ORkSVJeXp5uueWWMouC7OxsPfTQQ6X2OeSSwxHqldypKbXUsLwXGv8jPi7WxDSAdyTUilFqg6QKv756XDUT0/hOXK1o1aqfWOHXR9r0vAF/4EqIV2hqSoVfH1g9ysQ08LYDR53ac7h8RcH/OlrA4GCc5X+Tr+BtFAVleOCBB9SkSROtX79ex44d07Bhw9S2bVt99NFHSk1NveT3ycrK0vDhw0vti65+6a8vr86dyzf8sHbtVH3w4WLVrp2qWbOe1YwZc72UDDDP/d3/Xq7nJ6XFaurS+5SUFqt35q7SolkrvZTMux685slyPT8hLVYPL75HCWmxWvrMx3p3ziovJQPwa309fFS5nh+clKgG0ybLlZSow28t0eE33/ZSMnjD/MzCcj3/u58cGjQrXPuPOtWv7Snd1P786xHZzb7v3EqIC1JoyLnFx669RUqt5VJQIJ+YXwyLGcJs1JBlWL16tbKzsxUXF6e6detq8eLF6tatm9q3b6/du3df8vu4XC5FRkaW2rw17aC80tNra8XKd1W7dqpmznxa994z0upIgOmS68Tp8WXDlZQWq7dmr9SM4a9YHcknEuvEacK79yohLVb/nLtKz9z/mtWRAJjEVSNJDf4+Ra6kRB1a9I5yn5xldSR4Ue6PDg146mxJcGO7Uxr7pyJVkkvJX2Xfd24NHr5Ld4/eo8KTpRep3PxlgQbdt0t/nbCvZAodzo/bI8JsFAVlOHnypAID/zvwwuFwaPbs2erZs6c6dOigHTt2WJjOHM8/P1epqbX05JNzNGzoA1bHAbxi1HO3KCElRotmrdBT9y+0Oo7PDHt6gOJTYrRk9kd69q+sOwJUJXWyRsqVmKBDb7ytb2fMsToOvOyBF0N18JhTN7V3a8x1RVbHMU1CXJDq1QnRF1sLdffovSVlwb+/Ovt1QaFHV7eIqDQfsAH+gqkHZWjYsKHWr1+vRo0aldo/c+ZMSdK1115rRSxTDRx4p/r1u16PPDLV6iiA10y5bZ469b1KCyb/0+ooPjX9jufV/vqWeu3R96yOAsBke7IfU0znjjrwwstWR4EPTL7xpN7dGKS/dKsa0w1+Fhri1BMP19bw8fv02cYT2rTt7P6ZOYfkcEhZd9dQn56snVUWBlzAbIwoKMMf//hHvfzy+X8Az5w5U/369bP9UKhdu/ZQEqDK27/7B78rCSTp4O4fKQmAKsq9/wAlgR9JizeqXEnwsxCXU39/KE0ZLf672C4lQfl45KjQBlwIRUEZsrKy9M9/XviXi1mzZpXcVhAAAABA+bmCnZo2Pk1tr6omh0P62701df01lASXymNUbPOWHTt2qFevXoqLi1NkZKTatWunlSvtuYi0v3IYdv843MYCA6KtjmCJ0OAEqyNYIiawfPe9ryrqey6zOoIlIgL9c2ZXcqh/9s81w4rLflIVVCO06syTLo8mifutjmCJuJgjVkewRMot+6yOYImiy9tactziYkMFhR5FRlT8tpG/Rnhte67nMz7tnoq9bt8Mk5OcVb9+fdWrV0/Z2dkKDQ3VE088oXnz5mnXrl1KSqr4ra3hO/55RQcAAACg0gkIcFhWEthZZZp68OOPP2rnzp0aNWqUrrzyStWrV0+TJ09WYWGhtm7d6pVjwnz++ZEXAAAAAFQRFR0j7na75Xa7S+1zuVxyuVwVzhIbG6sGDRro+eefV/PmzeVyuTR37lwlJCSoRYsWFX5f+BYjCgAAAADAxjwV3LKzsxUVFVVqy87O/lVZHA6HPvjgA33xxReKiIhQSEiIpk2bpvfee0/R0f459dqOKAoAAAAAwMYquphhVlaW8vLySm1ZWVnnPcaoUaPkcDguum3fvl2GYSgzM1MJCQn65JNPtHbtWvXu3Vs9e/bUgQMHfPxfBhXF1AMAAAAAsLGKrk5fnmkGI0aM0KBBgy76nPT0dK1YsUJLlizR0aNHFRkZKensneKWL1+u+fPna9SoURVMC1+iKAAAAAAAG/MY3lmY8H/Fx8crPj6+zOcVFhZKkpzO0oPXnU4nt5W3EaYeAAAAAICNGUbFNm/IyMhQdHS0Bg4cqM2bN2vHjh0aOXKk9uzZox49enjnoDAdRQEAAAAAwBRxcXF67733dOLECXXq1EktW7bUp59+qrfffltNmza1Oh4uEVMPAAAAAMDGKtuA/pYtW2rZsmVWx8CvQFEAAAAAADbmrWkE8F8UBQAAAABgY5VtRAHsj6IAAAAAAGzMw4gCmIyiAAAAAABsjJ4AZqMoAAAAAAAbY0QBzEZRAAAAAAA2xmKGMBtFAQAAAADYGIsZwmwUBQAAAABgY0w9gNkoCgAAAADAxugJYDan1QEAAAAAAEDlwYgCAAAAALAxph7AbBQFAAAAAGBj3PUAZqMoAAAAAAAb464HMBtFAQAAAADYGFMPYDaKAgAAAACwMXoCmI2iAAAAAABsjBEFMBtFAQAAAADYGIsZwmwUBQAAAABgYyxmCLNRFFio2HPC6giWOHZyptURAAAAcBEhVgdAuXgYUgCTURQAAAAAgI1RE8BsFAUAAAAAYGMsZgizOa0OAAAAAAAAKg9GFAAAAACAjRlMPoDJKAoAAAAAwMaYegCzURQAAAAAgI1xe0SYjaIAAAAAAGzM4PaIMBlFAQAAAADYGCMKYDaKAgAAAACwMUYUwGwUBQAAAABgY4wogNkoCgAAAADAxjyMKIDJKAoAAAAAwMYMURTAXBQFAAAAAGBjTD2A2SgKAAAAAMDGPIwogMmcVgcAAAAAAACVByMKAAAAAMDGWMwQZmNEAQAAAADYmFHBP94yceJEtWnTRmFhYapevfp5n5Obm6sePXooLCxMCQkJGjlypM6cOeO1TCgfRhQAAAAAgI1VtjUKTp06pT59+igjI0PPPffcOY8XFxerR48eSkpK0urVq3XgwAENGDBAQUFBmjRpkgWJ8UsOw2CcilUcjiCrI1jijDHP6ggAAADAOQLU3+oIFdIm7LYKvW514bMmJylt3rx5GjZsmI4dO1Zq/9KlS3XNNddo//79SkxMlCTNmTNHDzzwgH744QcFBwd7NRfKxtQDAAAAALCxik49cLvdys/PL7W53W6v512zZo2uuOKKkpJAkrp166b8/Hxt27bN68dH2SgKAAAAAMDGPDIqtGVnZysqKqrUlp2d7fW8Bw8eLFUSSCr5+uDBg14/PspGUQAAAAAANuZxeCq0ZWVlKS8vr9SWlZV13mOMGjVKDofjotv27dt9fObwFhYzBAAAAAAbq+hihi6XSy6X65KeO2LECA0aNOiiz0lPT7+k90pKStLatWtL7Tt06FDJY7AeRQEAAAAA2Jghj9ePER8fr/j4eFPeKyMjQxMnTtThw4eVkJAgSVq+fLkiIyPVuHFjU46BX4eiwA8FBgYqNja2pLUDAAAAYF+V7faIubm5OnLkiHJzc1VcXKxNmzZJkurWratq1aqpa9euaty4sW6++WY9+uijOnjwoMaMGaPMzMxLHuEA76Io8DMhISFavPgtdenSWffcM0wzZz5ldSQAAAD4sbWf79WSxVu0ceO3+vGHEyosPKXwai6lpkTriitrqlOXBsrIqCOHw2F1VFyiBx98UPPnzy/5ulmzZpKklStXqmPHjgoICNCSJUt01113KSMjQ+Hh4Ro4cKAefvhhqyLjFxyGYVSu+smPOBxBPj1eaGiolix5W506/bZk39Chw/XkkzN8muOMMc+nxwMAAEDlc/RIof468k3969PdkqTExAg1bJSkatVcOnHCrZ07D2v/93mSpEaNk/TGoiFezxSg/l4/hjdcWe3GCr3u3ydeMjkJqgpGFPiJsLAwvfvuO+rYsYM8Ho+cTqc8Ho+mT58mh8Oh6dOftDoiAAAA/ER+fpFuujFHe/b8pPT0OI0d112tr65zzvN27jis+fM+09J/brMgpX14fLBGAfwLt0f0A+Hh4Vq6dIk6duygFStWasGCs83hX/86SkePHtUTTzyu++4bZm1IAAAA+I2JE5Zqz56flJISrRdfueW8JYEk1aufoEcmXauc5wf4OKG9eCr4B7gQigI/kJSUpHr16uqDDz7UNdf0UmFhoSRp/foN+t3vuuvo0aPKyGhtcUoAAAD4g9zcI3p3yVZJ0gNZXRUVFVrma668sqa3Y9maIU+FNuBCmHrgB3bt2qU2bX6jgwcPqqioqNRjGzZsUOvWbbV7926L0gEAAMCfrFq5Ux6PocioEHX8bX2r41QJHge/9MNcFAV+Yu/evRd8bOfOnb4LAgAAAL+2bdsBSVLjxslyOrmTgRmYRgCzURQAAAAA8JmjR89Og42JCTvv49u3H9Tz8z4/Z/+frm+mFi1TvZrNrgwVWx0BVQxFwSX46quv9NlnnykjI0MNGzbU9u3bNX36dLndbt10003q1KlTme/hdrvldrt/sdeQRIsKAAAA/OzggXy9tWjzOfuvapVGUXABjCiA2SgKyvDee++pV69eqlatmgoLC7Vo0SINGDBATZs2lcfjUdeuXfX++++XWRZkZ2froYce+sVeh6QAr2UHAAAAKpvo6LMjCY4cKTzv4x1/W19ffv1gydeDB72gz9bs8Uk2u6IogNm460EZHn74YY0cOVI//fSTcnJydOONN+r222/X8uXL9eGHH2rkyJGaPHlyme+TlZWlvLy8Uhv/+QEAAOBvGjdOkiR9+eUBeTyGxWmqBkPFFdqAC+E31TJs27ZNgwYNkiT17dtXx48f1/XXX1/yeP/+/fXvf/+7zPdxuVyKjIwstTHtAAAAAP6mw2/ry+l0KD+vSB+vYlFtM3gq+Ae4EIqCS+BwnP2F3ul0KiQkRFFRUSWPRURE/Gd0AAAAAICypKXFqPsfLpckTZn8vo4fLyrjFQB8jaKgDLVr1y51+8A1a9YoNfW/i6jk5uYqOTnZimgAAACALY15sLtS02K0b+8R3fjnHK1bu/e8z/v+u2M6dDDft+FsyJCnQhtwISxmWIa77rpLxcX/nb/TpEmTUo8vXbr0ku56AAAAAOCsqKhQvfjyLRo54k19tmaPBt78vJKSItWwUaIiIkLkdp/Rvr1HtGPHIRmGVL9+gpo0qWF17ErLw3oDMBlFQRnuvPPOiz4+adIkHyUBAAAAqo7Y2HD9Y97NWrNmt95dvFVfbPxW69flqqjotMLCg1WrVrT69G2hrr9vpKuvriOnk/W9LoTRATCbwzAMlhq1iMMRZHUES5wx5lkdAQAAADhHgPpbHaFCEqu1qdDrDp1YbXISVBWMKAAAAAAAG2NEAcxGUQAAAAAANmawRgFMRlEAAAAAADbmMRhRAHNRFAAAAACAjTH1AGajKAAAAAAAGzMMph7AXBQFAAAAAGBjHkYUwGQUBQAAAABgYwZrFMBkTqsDAAAAAACAyoMRBQAAAABgY9weEWajKAAAAAAAG2PqAcxGUQAAAAAANsbtEWE2igIAAAAAsDFujwizURQAAAAAgI0x9QBmoygAAAAAABtj6gHMRlEAAAAAADbGiAKYjaIAAAAAAGyMEQUwG0UBAAAAANgYixnCbBQFAAAAAGBrjCiAuZxWBwAAAAAAAJUHIwoAAAAAwMZYzBBmY0QBAAAAANiYIU+FNm+ZOHGi2rRpo7CwMFWvXv2cxzdv3qx+/fopJSVFoaGhatSokaZPn+61PCg/RhQAAAAAgK1VrhEFp06dUp8+fZSRkaHnnnvunMc3bNighIQELViwQCkpKVq9erWGDBmigIAA3X333RYkxi85DMMwrA7hrxyOIKsjWOKMMc/qCAAAAMA5AtTf6ggVEuAMr9Drij0FJicpbd68eRo2bJiOHTtW5nMzMzP11VdfacWKFV7NhEvDiAIAAAAAsLGKTiNwu91yu92l9rlcLrlcLjNilUteXp5iYmJ8flycH2sUAAAAAICteSq0ZWdnKyoqqtSWnZ3t8/SrV6/Wq6++qiFDhvj82Dg/igIAAAAAsDPDqNCWlZWlvLy8UltWVtZ5DzFq1Cg5HI6Lbtu3by939K1bt6pXr14aN26cunbt+mv/S8AkTD0AAAAAABszVLFl58ozzWDEiBEaNGjQRZ+Tnp5eruN/+eWX6ty5s4YMGaIxY8aU67XwMgN+p6ioyBg3bpxRVFRkdRSf4rw5b3/AeXPe/oDz5rz9AeftX+ddVeXk5BhRUVHnfWzr1q1GQkKCMXLkSN+GwiXhrgd+KD8/X1FRUcrLy1NkZKTVcXyG8+a8/QHnzXn7A86b8/YHnLd/nXdVk5ubqyNHjuidd97R1KlT9cknn0iS6tatq2rVqmnr1q3q1KmTunXrpqlTp5a8LiAgQPHx8VbFxv9g6gEAAAAAwDQPPvig5s+fX/J1s2bNJEkrV65Ux44d9frrr+uHH37QggULtGDBgpLnpaWlae/evb6Oi/NgMUMAAAAAgGnmzZsnwzDO2Tp27ChJGj9+/HkfpySoPCgKAAAAAABACYoCP+RyuTRu3LhLXuG0quC8OW9/wHlz3v6A8+a8/QHn7V/nDVQ2LGYIAAAAAABKMKIAAAAAAACUoCgAAAAAAAAlKAoAAAAAAEAJigIAAAAAAFCCogAAAAAAAJSgKPAzTz31lGrXrq2QkBC1bt1aa9eutTqS13388cfq2bOnatSoIYfDobfeesvqSF6XnZ2tq666ShEREUpISFDv3r319ddfWx3L62bPnq0rr7xSkZGRioyMVEZGhpYuXWp1LJ+bPHmyHA6Hhg0bZnUUrxo/frwcDkeprWHDhlbH8onvv/9eN910k2JjYxUaGqorrrhC69evtzqW19WuXfuc77nD4VBmZqbV0bymuLhYY8eOVZ06dRQaGqrLLrtMEyZMkD/ctOr48eMaNmyY0tLSFBoaqjZt2mjdunVWxzJdWdcphmHowQcfVHJyskJDQ9WlSxft3LnTmrAmKeuc33zzTXXt2lWxsbFyOBzatGmTJTkBf0ZR4EdeffVVDR8+XOPGjdPGjRvVtGlTdevWTYcPH7Y6mlcVFBSoadOmeuqpp6yO4jOrVq1SZmamPvvsMy1fvlynT59W165dVVBQYHU0r6pVq5YmT56sDRs2aP369erUqZN69eqlbdu2WR3NZ9atW6e5c+fqyiuvtDqKT1x++eU6cOBAyfbpp59aHcnrjh49qrZt2yooKEhLly7Vl19+qccff1zR0dFWR/O6devWlfp+L1++XJLUp08fi5N5z5QpUzR79mzNnDlTX331laZMmaJHH31UM2bMsDqa1912221avny5XnjhBW3ZskVdu3ZVly5d9P3331sdzVRlXac8+uijevLJJzVnzhx9/vnnCg8PV7du3VRUVOTjpOYp65wLCgrUrl07TZkyxcfJAJQw4DdatWplZGZmlnxdXFxs1KhRw8jOzrYwlW9JMhYtWmR1DJ87fPiwIclYtWqV1VF8Ljo62nj22WetjuETx48fN+rVq2csX77c6NChgzF06FCrI3nVuHHjjKZNm1odw+ceeOABo127dlbHqBSGDh1qXHbZZYbH47E6itf06NHDGDx4cKl91113ndG/f3+LEvlGYWGhERAQYCxZsqTU/ubNmxujR4+2KJX3/fI6xePxGElJScbUqVNL9h07dsxwuVzGyy+/bEFC813s2mzPnj2GJOOLL77waSYAhsGIAj9x6tQpbdiwQV26dCnZ53Q61aVLF61Zs8bCZPCFvLw8SVJMTIzFSXynuLhYr7zyigoKCpSRkWF1HJ/IzMxUjx49Sv1/XtXt3LlTNWrUUHp6uvr376/c3FyrI3ndO++8o5YtW6pPnz5KSEhQs2bN9Mwzz1gdy+dOnTqlBQsWaPDgwXI4HFbH8Zo2bdroww8/1I4dOyRJmzdv1qeffqru3btbnMy7zpw5o+LiYoWEhJTaHxoa6hcjh362Z88eHTx4sNS/61FRUWrdujXXbwC8KtDqAPCNH3/8UcXFxUpMTCy1PzExUdu3b7coFXzB4/Fo2LBhatu2rZo0aWJ1HK/bsmWLMjIyVFRUpGrVqmnRokVq3Lix1bG87pVXXtHGjRur5PzdC2ndurXmzZunBg0a6MCBA3rooYfUvn17bd26VREREVbH85rdu3dr9uzZGj58uP72t79p3bp1uvfeexUcHKyBAwdaHc9n3nrrLR07dkyDBg2yOopXjRo1Svn5+WrYsKECAgJUXFysiRMnqn///lZH86qIiAhlZGRowoQJatSokRITE/Xyyy9rzZo1qlu3rtXxfObgwYOSdN7rt58fAwBvoCgAqrjMzExt3brVbz6BadCggTZt2qS8vDy9/vrrGjhwoFatWlWly4Jvv/1WQ4cO1fLly8/59K0q+99PVK+88kq1bt1aaWlpWrhwoW699VYLk3mXx+NRy5YtNWnSJElSs2bNtHXrVs2ZM8evioLnnntO3bt3V40aNayO4lULFy7Uiy++qJdeekmXX365Nm3apGHDhqlGjRpV/vv9wgsvaPDgwapZs6YCAgLUvHlz9evXTxs2bLA6GgBUeUw98BNxcXEKCAjQoUOHSu0/dOiQkpKSLEoFb7v77ru1ZMkSrVy5UrVq1bI6jk8EBwerbt26atGihbKzs9W0aVNNnz7d6lhetWHDBh0+fFjNmzdXYGCgAgMDtWrVKj355JMKDAxUcXGx1RF9onr16qpfv76++eYbq6N4VXJy8jnFV6NGjfxi2sXP9u3bpw8++EC33Xab1VG8buTIkRo1apT+/Oc/64orrtDNN9+s++67T9nZ2VZH87rLLrtMq1at0okTJ/Ttt99q7dq1On36tNLT062O5jM/X6Nx/QbA1ygK/ERwcLBatGihDz/8sGSfx+PRhx9+6Dfzt/2JYRi6++67tWjRIq1YsUJ16tSxOpJlPB6P3G631TG8qnPnztqyZYs2bdpUsrVs2VL9+/fXpk2bFBAQYHVEnzhx4oR27dql5ORkq6N4Vdu2bc+53emOHTuUlpZmUSLfy8nJUUJCgnr06GF1FK8rLCyU01n6ci0gIEAej8eiRL4XHh6u5ORkHT16VMuWLVOvXr2sjuQzderUUVJSUqnrt/z8fH3++edcvwHwKqYe+JHhw4dr4MCBatmypVq1aqUnnnhCBQUFuuWWW6yO5lUnTpwo9Qnjnj17tGnTJsXExCg1NdXCZN6TmZmpl156SW+//bYiIiJK5jFGRUUpNDTU4nTek5WVpe7duys1NVXHjx/XSy+9pI8++kjLli2zOppXRUREnLP+RHh4uGJjY6v0uhT333+/evbsqbS0NO3fv1/jxo1TQECA+vXrZ3U0r7rvvvvUpk0bTZo0SX379tXatWv19NNP6+mnn7Y6mk94PB7l5ORo4MCBCgys+pcxPXv21MSJE5WamqrLL79cX3zxhaZNm6bBgwdbHc3rli1bJsMw1KBBA33zzTcaOXKkGjZsWOWuW8q6Thk2bJgeeeQR1atXT3Xq1NHYsWNVo0YN9e7d27rQv1JZ53zkyBHl5uZq//79klRSjiYlJTGSAvAVq2+7AN+aMWOGkZqaagQHBxutWrUyPvvsM6sjed3KlSsNSedsAwcOtDqa15zvfCUZOTk5VkfzqsGDBxtpaWlGcHCwER8fb3Tu3Nl4//33rY5lCX+4PeINN9xgJCcnG8HBwUbNmjWNG264wfjmm2+sjuUTixcvNpo0aWK4XC6jYcOGxtNPP211JJ9ZtmyZIcn4+uuvrY7iE/n5+cbQoUON1NRUIyQkxEhPTzdGjx5tuN1uq6N53auvvmqkp6cbwcHBRlJSkpGZmWkcO3bM6limK+s6xePxGGPHjjUSExMNl8tldO7c2fZ//8s655ycnPM+Pm7cOEtzA/7EYRiG4aNOAgAAAAAAVHKsUQAAAAAAAEpQFAAAAAAAgBIUBQAAAAAAoARFAQAAAAAAKEFRAAAAAAAASlAUAAAAAACAEhQFAAAAAACgBEUBAAAAAAAoQVEAAAAAAABKUBQAAAAAAIASFAUAAAAAAKDE/wPJDxFX9pxsGQAAAABJRU5ErkJggg==\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"Medium Decay SARSA mean_reward = -15.00 +/- 0.0000\n",
"Slow Decay\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"Slow Decay SARSA mean_reward = -17.00 +/- 0.0000\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"# @title Epsilon Decay\n",
"class EpsilonDecayStrategy:\n",
" def __init__(self, initial_epsilon, min_epsilon, decay_rate):\n",
" self.initial_epsilon = initial_epsilon\n",
" self.min_epsilon = min_epsilon\n",
" self.decay_rate = decay_rate\n",
" self.epsilon = initial_epsilon\n",
"\n",
" def get_epsilon(self, episode):\n",
" \"\"\"Calculate epsilon using exponential decay.\"\"\"\n",
" self.epsilon = max(\n",
" self.min_epsilon,\n",
" self.initial_epsilon * np.exp(-self.decay_rate * episode)\n",
" )\n",
" return self.epsilon\n",
"\n",
"class learnEnvironmentWithEpsilonStrategy:\n",
" def __init__(self, policy, env, n_episodes, n, alpha, max_step, epsilon_strategy):\n",
" self.policy = policy\n",
" self.env = env\n",
" self.n_episodes = n_episodes\n",
" self.n = n\n",
" self.alpha = alpha\n",
" self.max_step = max_step\n",
" self.epsilon_strategy = epsilon_strategy\n",
"\n",
" def learn(self, env, algorithm):\n",
" n_states = env.observation_space.n\n",
" n_actions = env.action_space.n\n",
" Q = np.zeros((n_states, n_actions))\n",
" reward_sums = np.zeros(self.n_episodes)\n",
" epsilon_values = np.zeros(self.n_episodes)\n",
"\n",
" for episode in range(self.n_episodes):\n",
" state, _ = env.reset()\n",
" episode_reward = 0\n",
" self.n_step_reward =[]\n",
" self.state_list = []\n",
" self.action_list =[]\n",
" self.Return_list = []\n",
"\n",
" # Get current epsilon\n",
" current_epsilon = self.epsilon_strategy.get_epsilon(episode)\n",
" epsilon_values[episode] = current_epsilon\n",
"\n",
" t = 0\n",
" T = float('inf')\n",
" Return = 0\n",
" n_step_reward = []\n",
" self.state_list = []\n",
" self.action_list = []\n",
" state, _ = env.reset()\n",
"\n",
" while True:\n",
" if t < T:\n",
" action = self.policy(state, Q,current_epsilon)\n",
" next_state, reward, terminated, truncated, info = env.step(action)\n",
" episode_reward += reward\n",
" n_step_reward.append(reward)\n",
" self.state_list.append(state)\n",
" self.action_list.append(action)\n",
"\n",
" if terminated or truncated or t >= self.max_step:\n",
" self.Return_list.append(Return)\n",
" T = t + 1\n",
"\n",
" tau = t - self.n + 1\n",
" if tau >= 0 and tau < len(self.state_list):\n",
" self.Q_table = algorithm(\n",
" n_step_reward[tau:tau + self.n],Q, self.state_list[tau],\n",
" self.action_list[tau], next_state, 0.95, self.n, self.alpha\n",
" )\n",
"\n",
" t += 1\n",
" if tau == T - 1:\n",
" break\n",
"\n",
" state = next_state\n",
" reward_sums[episode] = episode_reward\n",
"\n",
" return Q, reward_sums, epsilon_values\n",
"\n",
"def plot_results(reward_sums_list, epsilon_values_list, labels):\n",
" \"\"\"Plot rewards and epsilon decay for multiple runs.\"\"\"\n",
" fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 10))\n",
"\n",
" # Plot rewards\n",
" for rewards, label in zip(reward_sums_list, labels):\n",
" # Smoothing the rewards\n",
" window_size = 20\n",
" smoothed_rewards = np.convolve(rewards, np.ones(window_size)/window_size, mode='valid')\n",
" ax1.plot(smoothed_rewards, label=label)\n",
"\n",
" ax1.set_xlabel('Episode')\n",
" ax1.set_ylabel('Reward (smoothed)')\n",
" ax1.set_title('Learning Progress')\n",
" ax1.legend()\n",
" ax1.grid(True)\n",
"\n",
" # Plot epsilon decay\n",
" for epsilons, label in zip(epsilon_values_list, labels):\n",
" ax2.plot(epsilons, label=label)\n",
"\n",
" ax2.set_xlabel('Episode')\n",
" ax2.set_ylabel('Epsilon Value')\n",
" ax2.set_title('Epsilon Decay')\n",
" ax2.legend()\n",
" ax2.grid(True)\n",
"\n",
" plt.tight_layout()\n",
" return fig\n",
"\n",
"# Set for reproducibility\n",
"np.random.seed(42)\n",
"\n",
"# Define different epsilon decay strategies\n",
"epsilon_strategies = [\n",
" EpsilonDecayStrategy(1.0, 0.01, 0.005), # Fast decay\n",
" EpsilonDecayStrategy(1.0, 0.01, 0.002), # Medium decay\n",
" EpsilonDecayStrategy(1.0, 0.01, 0.001) # Slow decay\n",
"]\n",
"\n",
"# Parameters\n",
"n_episodes = 400\n",
"n = 1\n",
"discount = 0.95\n",
"alpha = 0.5\n",
"max_step = 1000\n",
"\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"# Store results for different strategies\n",
"all_rewards = []\n",
"all_epsilons = []\n",
"strategy_labels = ['Fast Decay', 'Medium Decay', 'Slow Decay']\n",
"\n",
"# Run learning for each strategy\n",
"for strategy, label in zip(epsilon_strategies, strategy_labels):\n",
" learning_algorithm = learnEnvironmentWithEpsilonStrategy(\n",
" epsilon_greedy, env, n_episodes, n, alpha, max_step, strategy\n",
" )\n",
" value_sarsa, reward_sums, epsilon_values = learning_algorithm.learn(env, sarsa)\n",
" all_rewards.append(reward_sums)\n",
" all_epsilons.append(epsilon_values)\n",
"\n",
" print(label)\n",
" plot_performance(env, value_sarsa, reward_sums)\n",
"\n",
" mean_reward, std_reward = evaluate_policy(env, value_sarsa)\n",
" print(f\"\\n{label} SARSA mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\")\n",
"\n",
"# Plot results\n",
"plot_results(all_rewards, all_epsilons, strategy_labels)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "A7eInhOres4J"
},
"source": [
"### **Why does epsilon 0.1 have the best performance?** \n",
"In this environment, the reward for stepping into the cliff is -100, which is highly punishing. Because of this, exploration is not highly favored, making a lower epsilon (0.1) more effective as it prioritizes safer, learned actions over risky exploration."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ThV2LMvgz8u3"
},
"source": [
"# N-step Sarsa and N-step Q-learning"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YUVaEv8qE_aj"
},
"source": [
"## Effect of n = 1"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "U3UmVbeAE2ZK",
"outputId": "3c432d75-81ac-4b8a-9556-5bca6505045c"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"SARSA mean_reward = -17.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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qRquHxIXjoTbiNyazlJS8Mny/JxWrDmagrHpag4eTHE93CsPz8ZF214Arv0yNj9afNq5uEeCuxPSHWqB/y0Cz/T+uqEKDD9adwm+Hqj4zxs8Fc59sK/oUNQO1Vo9NJ3PwU2Ia9qdem0oX6++KoXHhGNwhtNaJ1tmcEny9PRnrjmUZqwQ6R3tjbK9GuDe2fjcNvtuVgg/WnQIAvPdgc4zoGlXn97BWJzKL8PBXu6AXgOUvxaFLrPX3TlFr9TieWYi9F/OxLyUfFy6XGpfoc5TL4Civ/upw3fdyGZRyKRwdrn2tsa/xuZqvCXR3rNcAkqUwyTcjJvlkSwRBwPHMIrgqHRDu7WzxpmKCIOBcbik2HM/GphM5OJt7rXRVKgE6RXnjgZZB6Nci0CLzsG8mp6gSi/65iOX704x3ipsGumHsfbF4oGXQXf2yL1Np8fO+NHz7bwqulFQ1j/J1VWBE12gM7RwOt5v8EbNsdwqm/3UK/VoEYOFzHev92daiqFyD2ZvPYPn+dAgC4Oksx+QHmuKJDmFW3djoYGo+Plx/GkkZhQCqGjW92a8JHm0XInrchn4CM9aeRFZRJQDg/uYBmPpgc4R5O4sa262kXS3DF1uTsfrIJeMf4g+0DMTrfRpb1Y2ey8WV+G53Cn7em47S6nm8IZ5OGNU9Gk92DLvrGz2CIGB/Sj6W70/HxuM5xhuMrkoHPNouBM/GhaNZkP39bSEIAnYl52Hp7lRsP3vZWLkV6++KF+6NxKPtQuCssO+bHHuS8zBl9XHj/PQ+zQLw/iMtTD4Xeue5K5j0+zFkF1VCIgFe6hqFiX2bWG0j1zM5xfhpbxpWH8403vRxVsjwSNsQPNc54paNcpMyCvH19mTjtC8A6NXED2Pvi0WHiLvvA/LF1vOYl3AOADBrcCs83Sn8rt9TbHq9gMHz9yApoxAPtQnGl8+0EzskqiMm+WbEJJ9syeJ/L+LD9acBVM35jvR1Rqy/K2L9XBHj74pYf1fE+Lma9H/+giDgRGYxNp6oSuwvVjc1A6rm0cfH+OCBlkHo2yIAvq5Kk33u3corVeG7XSn4YU+q8Q+NaD8XjOkZi4fbBtepQVBhuRrf70nD0j0pxnnewR6OeLlHzB0Tha2nczHi+4NoHuSODeO63d1BiUgQBKw9moUP1p0yjoQ+1j4UUwY0hY8VnffbEQQBfx3LxscbzxibA7YMccc7A5ojPsayfRwM0q+WY/pfJ7GtuqN7qJcTpj/UAn2a20b/hgtXSvH5lvP4q7o3hkQCDGwVhNf7NBZ1icvUvDIs/Ocifj90rbKncYArXukZgwdb1+36r638MjV+O5SB5fvSazQmax/uiWfjIvBg6yCrTcxqq0Ktw+ojmVi2J6XGMlr3NfXHC/dGomtsw1pusVKjw9fbk7Fg5wVodNdWExnWJfKuRw9LVVp8tP40ftmfDgCI9HHGJ0+0QcdI22h8WVKpwZojmfhxb1qNfysdI7zwXHwE+rcMhEImxd6LVSvR7ErOA3Bt5Zz/9YoxaXWQIAiYtfEMFv5zERIJ8NlTbfFI2xCTvb8Yftmfjsl/HIer0gFbJ/YwaS8Esgwm+WbEJJ9sxYUrpRjw+b9QafVQyKQ3NDExkEiqEoVYv6qk35D4x/q71nrpJ71ewJGMAmw8noNNJ3OMJekAoHCQonsjX/RvGYQ+zfytfjmpwnI1lu1JxdLdqSiqqErQw7yd8EqPWDzW4caOvNe7UqLC4l0X8VNimvFGQZSvC17pEYNB7UJqVUJ9LrcEfT/9B+6ODjg2vZ9pDsrCUvLK8N6aE8Y/wmL8XPDhoFaiJcZ3q1Kjw7I9qfh6W7KxS3OfZgGYPKApYvwsk5iqtDos3HkRX29Phkqrh1wmwcvdYzCmV6zVTSOojXO5Jfh8y3njtAipBHikbQjG9W6ESF/LLTl2IrMI83dewMbj2cYKgw4RXvhfzxj0auJvkaoNvV5A4sWr+HlfGv4+mQttdSAeTnIMbh+CoZ0jLPbvzFSyCivwQ2IaVhxIN97odFbI8ESHUAzrElmjUWFDdC63BFP+OG5cVaV1qAf+79FW9W6Gtyc5D2/+dsx4M3J4l0i81b+JTVZHGKpdftybhk0ncozXg4+LAiFeTjhWvSyog1SCQe1CMLpHjNluEAqCgPf+PIGf9qZDJpVgwdAOuN9Gbqj+V36ZGvfN3YHCcg3eHdgML3WLFjskqgcm+WbEJJ9sgU4v4MmFiTiUVoBujXyx7IVOyCqsQPKVUly4XIpkw+NKqfEPsJvxdVUYE/7rH4HujtDpBexPzcemE1Vd8a9fy9hJLkOvpn7o3zII9zX1h6sNzjUtqdTgp73pWPzvRVy9bm3dl3tE4+l7wmskVpmFFVi48wJWHsgwNtdqGuiGMb1iMaBV3Ur+y9VaNJ+6GQBwdFpfeDhZbwOY/1JpdZi/4wK+2XHBuHzUq/fFYlT3GKuZI343rpaq8PnW8/h5Xzp0egEOUgmGxIVjXJ/G8HYx382rf89fwdQ/TxqX+rs31gfvP9LS5hK/mzmdXYxPE87h7+qSW5lUgsHtQvBa70Zmm3ogCAL2XszH/J0X8M+5K8bt9zX1xys9Y3CPiCOfl0sqsergJfyyP914s1QmleDNfk0wqlu06FNF7uRQWj6W7E7FphM5xh4MYd5OGBYfiSfvCbPqhlaWptcL+OVAOmZtPIOSSi1kUglevDcS4+9vXOvkvFytxayNZ/BDYhqAqhv2cx5vY7M3VP/rckklVu7PwPL96ciunpqkcJDi6XvCMKp7NEK9zD89Sa8X8Maqo/jjSCYUMimWDL8HXRtZ/zz2/5r0+zGsOJCBpoFuWPdqV4tP3yTTYJJvRkzyyRYYyvRdlQ7YPL77LRsZCYKAq2VqY9J/4Ur118ulxrm+N+OqdICDTFLjBoGb0gG9m/mjf8sg9GjsZ5OjizdTodbhl/3pWPjPBeONDF9XBV7qFo2usb74fk8qVh/JNI42tA3zxNheseh9F837On6YgLxSNda92tViyxzdrT3JeXh3zQnj9Izujf3wwSMtEOFjuVFZS0m+XIpZG09jy+mqknlHuRSB7o5wd5LDzdEBbko53J0c4OZY9bO74avTtZ8N29wcHW75x1ZOUSU+WH8K649VjXb7uSnx3oPN8VDrILsrcT5+qQifbjlnnIbgIJXgiY5heKZTGCSQQKXVQaWtWv5IrdVXfa/RQ6WrWvpIpdVf2379PtVLKql11ftrdSgs1xj/nUolwENtgjG6R4xVzYXX6QX8c/4Klu1Oxc7qGxF9mvnjkyfaWGU1VFG5Bu+sOY511f9WASA+2gcv3BuJ3s0CrLqRldguF1dixrpr13mIpxM+HNQSvZr63/Z1+1Py8caqo8aVCYbEhWPKgGZ22cBRq9Nj65nLyCqswMDWQRZf8USr02Ps8iPYdDIHTnIZfhzRyWamQQBVjW8Hf7MHALBqdLyoNzLp7jDJNyMm+WTtUvLK0P+zf6DS6jFzcCs8U89mMWUqrTHpv/4GQNrVcmNC6+ksx/3NAvBAq0DcG+sr2rI8lqDS6vDboUuYv+NCjekIBl1ifDC2VyziY+q/BJDBI1/vxtGMQiwY2h79Wwbd1XuZ25USFf5vw2msPpIJoCoRnfZQcwxsZX+J6H/tSc7Dh+tP41T1igH15ayQVSf8crhXf3VVOmDH2csoU+sglQDDulSN8Nn7SOiR9AJ8uuV8jRF2c1A6SPFkxzCM7BaNcB/rbFYIVN2IXb4/HTP+OgW1Vo8QTyd8PaS91XRJB4DEC1cx8dckZBVVQiaV4LH2IXjh3iirumliC7afuYx315wwltwPbB2EaQ81vyGhrdToMGfzWSzZnQJBqOr38vHjrdGtkZ8YYTcYKq0Oo344hJ3nrsBN6YBfRnW2iZvwOr2Ah7/ahZNZxXisfSjmPtlG7JDoLjDJNyMm+WTN9HoBTy1KxIHUAnSN9cWPIzqZPNFSa/VIzy9DSaUWLUM8zNKQypoZ1rr/ZnsyLuaVoU8zf/yvVyzah3uZ7DPGLj+Mdcey8c6AZhjZ3XrnzR1IzceIZQdQXKmFRAI83zkCE/tZbg1oa6DXC7hwpRQF5RqUVGpQUqlF8XVfiyu0xu0llRoUV177uby6b8PttAv3xIeDWlr1cnPmcCA1H19sPY9TWcVQOkirl0uqWgpJIZNCKa/6+dr31+1z0++lUMqv7d86xMNmGkACVb0D/vfzYaTnl0Muk+CdAc0wrEukqDfS1Fo95iWcw8J/LkAQqhq9ffZ0O6u6AWFrytVafJpwDt/tSoFeANwcHTDpgaZ45p5wSKUSHE4vwBu/HjVWojzVMQzvPNisQf3OFVOFWodhS/djf0o+vJzl+PXleDQKsJ7VQW7mh8RUTP3zJNwdHbDtjZ5W1fCY6o5JvhkxySdrtnR3Cmb8dQouChk2j+9ukflqDZVeL0Ct05ul+/XHm85g/o4LeD4+Au8/0tLk728qw5fux46zV9A8yB2zHmuF1qGeYodkUzQ6PUortdduCBhuDlRUfQ3ycES/FoFWPw+bLKO4UoM3Vx3F5pNV/QsGtgrCrMda3XQpTnNLvlyK11cewYnMqiqWpzqGYepDze2yVFwMJzKLMPmP4zieWdVkrmOEF1qHemLZnqrkP8BdiVmDW9+xpJ9Mr6RSg6GL9+HopSL4uymxanS81U5Lu1Kiwn1zd6CkUosPHmmB5+IjxQ6J7lJd8lD+NiayE6l5Zfh40xkAwOQBzZjgm5lUKoGj1DzTE8Kqz11Gfvkd9hRXavVo0nsPNmeCXw9ymRReLgp4mbFpH9kPd0c5FgztgCW7UzFzw2msP56Nk1lF+GZIh1uuJW5qgiDg533p+HD9KVRq9PB0lmPW4FZWP63I1rQM8cCaMffi+z2p+OTvsziYVmDsxD+4XQimPdQCHs4cvReDm6Mcy17ohKcX7cXZ3BI8++0+/PZKPII8bt77SEwzN56urrp0x7NxEWKHQxbWsOpsieyUXi/grd+PoVKjR5cYHzxbz3n4ZB3CvKv+WMi4ydx/a6HV6Y29CSKseE4zkT2RSCQY0TUKv46OR7CHI1KvluPRb3Zj5YF0mLsw82qpCiN/OIh315xApUaPrrG+2DSuOxN8M5FJJXixaxS2TOiBB1oGIsrXBYue64B5T7Vlgi8yLxcFfnypE6J8XZBZWIEhi/chr1R15xda0P6UfPxxOBMSCfDBIy3Z/LIBYpJPZAd+3JuG/Sn5cFbI8PFjrVnea+MMI/mXCsrN/od7fWUXVUKrF6BwqOosT0SW0z7cC+tf64aeTfyg0urx9u/HMXHVUZSrtWb5vB1nL6PfZ/9iy+nLUMikeHdgM/zwYicEevDaN7dgTyfMH9oB29/oib4tAsUOh6r5uznip5fiEOLphItXyvDcd/tRdJsliS1Jo9PjvTUnAABP3xOGdibsGUS2g0k+kY1Lv1qOWRury/QfaGq2taXJcoI9nSCRAJUaPfJK1WKHc1NpV6umEoR7O/OmEpEIvFwUWDLsHrzZrwmkEuCPw5l45KvdSL5cYrLPqNToMH3tSQxfegB5pSo0DnDFmjH34qVu0bzuqcEL8XTCTy/FwddVidPZxRi2dD9KVea50VYX3+9JxdncEng5y/FWv6Zih0MiYZJPZMOqyvSPokKjQ+dobwzhnCu7oHCQIqh6dDyjwDrn5aderZqPH8GbSkSikUolGNMrFstHdoafmxLnL5fi4a92Y031kpZ343R2MR7+aheW7UkFAAzvEom1Y7tabP4/kS2I8nXBzy/FwdNZjqSMQrz0/QFUau68coq55BRV4tOEcwCAt/s3Zc+XBoxJPpEN+3l/OvZezIeTnGX69ibUypvvpVfHZc1rjBM1FJ2jfbDhtW7oEuODcrUOr69MwuQ/jtcr2dDrBSz+9yIe+Wo3zuWWwtdViaUv3IPpD7cwy2oiRLauSaAbfnixE1yVDth7MR+v/HQIaq1elFg+XH8KZWod2oV74smOYaLEQNaBST6RjcrIL8fMDacBAG/3b2K1S7hQ/YRWN9+7ZKXN99I4kk9kVfzclPhxRBxeuy8WEgnwy/50DP5mj/FarY3c4ko8v2Q/Plx/GmqdHn2a+WPT693QqwmXaiO6ndahnlgy/B44yqXYfvYKxq9MglZn2UR/d3Ie1h3LhrS62R4Hfho2JvlENkgQBLz9+zGUq3XoFOmN57n2qd2x9mX0DHPyI3x5c4nIWsikEkzo2wTLXugEbxcFTmUX48EvdmHTiew7vnbTiRz0++wf7ErOg6Ncig8HtcS3z3eEr6vSApET2b5OUd5Y+FxHKGRSrD+ejaHf7cP5XNP1yLgdlVaH9/6sarb3XOcItAzxsMjnkvVikk9kg5bvT8eeC1fhKJdi9uMs07dHhgaK1jgnXxAEY7k+R/KJrE+Pxn5Y/1pXdIjwQolKi9E/HcaMv07etIS4TKXFpN+PYfRPh1BYrkGLYHese7UbhnaOgETC/7cQ1UWPxn748tl2UDpIsfdiPh74/F98uO4USirN23l/8b8puHilDL6uSkzo28Ssn0W2gUk+kY25VFCO/1tfVab/Vr+miORIql0K87Lecv0rpSqUq3WQSq71DiAi6xLk4YQVozpjVPdoAMDS3al4cmEiMguv/U45mlGIgV/8ixUHMiCRAC/3iMbq/92LWH9XscImsnn9WgRiy4Qe6Ns8AFq9gMW7UnDf3J344/AlsyyLe6mgHF9uOw8AmDKgKTyc5Cb/DLI9TPKJbIggCJj8x3GUqXXoGOGF4V0ixQ6JzMQwkp9VWAGd3vR/FNyN9OpS/WBPJygc+L8RImsll0kxZUAzLHquA9wdHZBUndRvOZWLr7cn47H5e5B6tRxBHo74+aU4TH6gGa9pIhMI83bGouc7YtkL9yDK1wVXSlSY8OtRPLEgESezikz6We//dQqVGj06RXnj0XYhJn1vsl0OYgdARLW38kAG/j2fB6UDy/TtXYC7I+QyCTQ6ATnFlQjxdBI7JKNUw3x8dtYnsgl9WwRifZA7/vfzYRzPLMJLPxw0PjewVRD+79FW8HDm6B+RqfVs4o/4GB98tysFX25NxsG0Ajz05S4M7RyBCfc3hqfz3S1xt/3MZfx9KhcyqQQfPNKSU2zIiLdriWxEZmEFPqwu03+zXxNE+7Gc0p7JpBIEVyf21tZ8L726W3e4N6eKENmKMG9n/PZKPJ6PjwAAuChk+OSJNvjq2XZM8InMSOkgw/96xmLrxB54sHUQ9ALwQ2Ia7pu7Eyv2p0Nfz2q9So0O09aeBAC80CUSTQLdTBk22Tgm+UQ2wFCmX6rSon24J164N0rskMgCrLXDflo+R/KJbJHSQYb3H2mJda92xfY3euLxDqEc+SOykGBPJ3z1bHssHxmHRv6uyC9TY9Ifx/HoN7uRlFFY5/dbsPMC0vPLEeCuxOv3NzZ9wGTTmOQT2YBVBy/hn3NXoHCQYs4TbSBjmX6DEOZdPZJvZc33DOX6kUzyiWxSyxAP+Ls7ih0GUYPUJcYXG8Z1w3sPNoeb0gFHLxVh0Ne78fZvx3C1VFWr90i7WoZvdlwAALw7sDlclZyBTTXZVZIfGRkJiURS4zFr1qwa+xw7dgzdunWDo6MjwsLCMHv2bJGiJaqd7KIKfLD+FABg4v2NEcMy/QbD0Ln+kpWN5LNcn4iIqP7kMilGdI3C1jd64LH2oQCAlQcz0OuTHfh+Tyq0uhuXuzQQBAHT11Ytidk11hcPtg6yVNhkQ+wqyQeA999/H9nZ2cbHq6++anyuuLgYffv2RUREBA4dOoQ5c+Zg+vTpWLRokYgRE92aIAiY8sdxlFRq0TbMEy91ixY7JLIgQ4f9jALrSfKLKzUoKK9a7zecI/lERET15u/miLlPtsFvo+PRPMgdxZVaTFt7Eg9+uQv7U/Jv+pq/T+Vi+9krkMskmPFIC065oZuyu9oONzc3BAYG3vS5n3/+GWq1GkuWLIFCoUCLFi2QlJSEefPmYdSoURaOlOjOfj+cie1nq8r0P3miNcv0G5gwr6py/UtWVK5vWD7P11XJ8kAiIiIT6Bjpjb9e7Yrl+9PxyeazOJNTgicXJuLRdiGY/EBT4/SacrUW7/9VVd05sls0qzvpluxuJH/WrFnw8fFBu3btMGfOHGi1WuNziYmJ6N69OxSKa8tV9OvXD2fPnkVBQcFN30+lUqG4uLjGg8gScooqMeOvqq6p4/s0Rqw/u6Y2NIaR/JziSqi0OpGjqZJaXarPpntERESmI5NK8FznCGx/oyee6RQOiQRYfSQTvT7ZgW//uQiNTo+vtiUjs7ACIZ5OGHtfrNghkxWzq2GY1157De3bt4e3tzf27NmDyZMnIzs7G/PmzQMA5OTkICqqZlfygIAA43NeXl43vOfMmTMxY8YM8wdPdB1BEDBldVWZfptQD4zsxm76DZGPiwJOchkqNDpkFVYiylf8OfBp1SP5Ed5M8omIiEzN20WBmYNb4ZlOYZj650kkZRTiow2n8cuBdONqO1Mfag5nhV2lcWRiVj+SP2nSpBua6f33cebMGQDAhAkT0LNnT7Ru3RqjR4/G3Llz8eWXX0Klql2nypuZPHkyioqKjI+MjAxTHRrRLa0+koltZy5DIavqpu8gs/pLlcxAIpEgtLpk31qW0TOU63M+PhERkfm0DvXEH690wezHWsPHRYGLV8qg0Qno1cQPfZsHiB0eWTmrvwU0ceJEDB8+/Lb7REffvBlZXFwctFotUlNT0aRJEwQGBiI3N7fGPoafbzWPX6lUQqlU1j1wonq6XFyJGdXzrcb1aYTGASzTb8jCvJ1x/nKp1TTfM5TrR/qIX1VARERkz6RSCZ68Jwz9Wgbi8y3ncTq7GB8Maslme3RHVp/k+/n5wc/Pr16vTUpKglQqhb+/PwAgPj4e77zzDjQaDeRyOQAgISEBTZo0uWmpPpGlVZXpn0BRhQatQjzwcnd202/owowj+dbRfC89nyP5REREluThJMfUh5qLHQbZELupAU5MTMRnn32Go0eP4uLFi/j5558xfvx4DB061JjAP/vss1AoFBgxYgROnjyJlStX4vPPP8eECRNEjr5h0+sFzNl8Bp8mnEOlxjqai4ll7dEsbDmdC7lMgjlPtGaZPlnVMnqVGh2yiyoBcE4+ERERkbWy+pH82lIqlVixYgWmT58OlUqFqKgojB8/vkYC7+Hhgb///htjxoxBhw4d4Ovri6lTp3L5PJHtvpCHr7dfAACsP56Nz55qi5YhHiJHZXmXSyoxbW1VN/3X7muEpoHuIkdE1iDUqyqZtoZl9Ax9AdyUDvB2UdxhbyIiIiISg90k+e3bt8fevXvvuF/r1q3x77//WiAiqq0/k7KM3ydfLsWj3+zG630aY3SPmAaxLnxxpQZH0guxcOcFFJZr0CLYHaN7xogdFlmJMO+qcv1LVtB4L+26pnucD0hERERknewmySfbVKnRYdOJHADAouc64I/Dmdh0MgdzNp/FjrOXMe/JtsZyZXuRU1SJA6n5OJiajwOpBTiTUwy9UPWcg1SCOY+3gZxl+lTNMJJ/tUyNMpUWLkrxfm2nVd9oiOB8fCIiIiKrxSSfRLX9zGWUqrQI8XRCn2YBuL95AH47dAkz/jqFA6kFeODzfzHtoeZ4vEOoTY4c6vUCkq+UVif1BTiQmn/TsusIH2d0jPDGEx1D0TyYZfp0jYeTHO6ODiiu1OJSQQWaBIq32kJ6dWf9cG921iciIiKyVkzySVSGUv2H2wZDWl2a/0THMHSO9sH4lUk4mFaAN387hq2nL+P/Brey+nnAKq0OJzKLsD+lAAdT83EwrQBFFZoa+0glQPNgd3SM8MY9kd64J9IL/u6OIkVMtiDM2xkns4qRkV8uapKfWl2uH8mRfCIiIiKrxSSfRFNUocG2s5cBAI+0Da7xXJi3M1a+HI8FOy/g04Rz2HQyB4fSCzDn8dbo2cRfjHBvqqhCg8NpBcaR+qRLhVBr9TX2cZLL0C7cEx2rE/p24V5wFbHkmmxPmFd1ki9yh30un0dERERk/ZhpkGg2n8yBWqtHkwC3m3aSl0klGNMrFj0a++H1lUlIvlyK4UsP4Pn4CEx+oBmcFDKLx6zR6fHv+SvYduYyDqYW4GxuCQSh5j4+LgrcE+mNjpFeuCfSG82D3TnHnu6KofleRr54Hfa1Oj0uFRjm5LNcn4iIiMhaMckn0ay9rlT/dlqGeGDdq10xa+MZLNuTih8S07ArOQ+fP9UOrULNv9SeIAg4kVmM3w9fwl9Hs3C1TF3j+ShfF3SM8DIm9lG+LjbZP4Csl6H5pJgj+dlFldDoBCgcpAji9BIiIiIiq8Ukn0RxubgSey7kAQAebnP7JB8AHOUyTH+4Be5r6o83Vh3FxStl1UvtNcLoHjFwMMNIeWZhBdYcycTqI5lIvlxq3O7josDA1kHoEuODDhHe8HNTmvyzia4XVt1h/2ZNGy3FsHxemJeTsX8GEREREVkfJvkkinXHsqEXgPbhnnVaIq97Yz9sfr073llzHBuO5+CTv89h+9krmPdkG5OUEJdUarDxRA5WH87E3pSrxlJ8hYMUfZsHYHD7EHRr5Mfye7IoQ7n+pfxyCIIgSqVIWn5VZ32W6hMRERFZNyb5JIo/j1aV6j/SNqTOr/VyUeDrZ9tj9ZFMTPvzJA6lFWDA5/9i6kPN8WTHsDonQFqdHv8m52H14Uz8fSoHlZprjfPiorwxuH0IHmgVBHdHeZ1jJTKF0OqR/BKVFkUVGng6W36VifTqkfzwOtyUIyIiIiLLY5JPFpeaV4ajGYWQSSUY0CqoXu8hkUgwuH0oOkV5Y8KvR7E/JR9v/34cW09fxszBreDjevsSekEQcDKrGKuPZOLPpCzklaqMz0X7uWBwuxA80jakTlUGRObiKJfB11WJvFIVMvIrREnyU69WjeRz+TwiIiIi68YknyxubfUo/r2xvnc9nz3Uyxm/jOyMb/+9iLl/n8Xfp3JxOL0Qsx9vhfuaBtywf05RJdYkZeKPw5dwLvfaPHtvFwUeah2Ewe1D0TrUg43zyOqEeTtVJfkF5RZpOPlfhjn5LNcnIiIism5M8smiBEHAmqRMAMAjtWi4VxsyqQSje8SgWyNfjF+ZhHO5pXhx2UEMiQvHOwObQRCATSdy8MeRS9hzoeY8+/ubBeDRdiHo0YTz7Mm6hXk540h6ITLyLd9hXxAEpFd/bjhH8omIiIisGpN8sqiTWcW4eKUMSgcp+ra4caT9brQI9sDasV0xe9NZLNmdgp/3pWPbmcsoLNegQqMz7tcp0huPtg/BgFZB8HDiPHuyDYbme2Iso3elVIVytQ5SCRDq5WTxzyciIiKi2mOSTxZlKNXv0ywAbmZoZOcol2HqQ82NS+1lF1UCqFrL/tF2IXi0HefZk20Scxk9Q9O9IA8nKB1kFv98IiIiIqo9JvlkMXq9gLVJVUn+w21NU6p/K10b+WLT693wZ1IWWoV6oF2YJ+fZk00z3JwSo1z/2nx83iAjIiIisnZM8sli9qfmI6e4Em6ODujZxM/sn+fprMCwLpFm/xwiS7h+JF8QBIvetErLZ9M9IiIiIlvBTmNkMX9Wj+IPaBnEkl+iOgrydIRUAqi0elwpUd35BSaUVr18HkfyiYiIiKwfk3yyCLVWjw3HswEAj5i5VJ/IHsllUgR5iNN8z1iuz34WRERERFaPST5ZxD/nrqCoQgN/NyXion3EDofIJhk622fkW7b5HpfPIyIiIrIdTPLJIv6s7qr/UJtgyKRsgEdUH2I03yuu1CC/TA2Ac/KJiIiIbAGTfDK7MpUWCadyALBUn+huGJrvWbJc37B8nq+rAq5K9molIiIisnZM8snsEk7lolKjR5SvC1qFeIgdDpHNCvOuKte/VGC5cn3DfPxwzscnIiIisglM8sns/kzKBAA83CaYa9UT3QVjub4FR/JTqzvrR7JUn4iIiMgmMMkns7paqsI/5/MAAA+zVJ/orhjK9bMKK6HV6S3ymYZyfTbdIyIiIrINTPLJrDacyIFOL6BViAdi/FzFDofIpvm7KaGQSaHTC8guqrTIZ6blV43kRzDJJyIiIrIJTPLJrNZWl+qz4R7R3ZNKJQgxLKNnoZJ940i+N8v1iYiIiGwBk3wym0sF5TiQWgCJBHiwNZN8IlMIrU7yL+Wbv/lepUaH7OKqioFIjuQTERER2QQm+WQ2fx3NBgB0jvJBoIejyNEQ2QdLNt+7VFAOQQBclQ7wdlGY/fOIiIiI6O4xySez+ZOl+kQmZ2i+Z4ll9K5fPo8rYxARERHZBib5ZBbncktwJqcEcpkED7QMEjscIrsR5l09Jz/f/CP5qdVJfqQvS/WJiIiIbAWTfDKLtUlZAIAejf3h4SwXORoi+2EYybdEuX761arO+my6R0RERGQ7mOSTyQmCgD+PslSfyBwMjfdyi1Wo1OjM+llp1dUCXD6PiIiIyHYwySeTO5JRiIz8CjgrZOjTLEDscIjsireLAs4KGQAgs9C88/INy+dFeDPJJyIiIrIVTPLJ5Ayl+v1aBMKpOhkhItOQSCTXSvbNOC9fpxeMUwIifFmuT0RERGQrmOSTSWl1eqw7VpXkP8xSfSKzMDbfM2OH/azCCmh0AhQyKQLduQQmERERka1gkk8mtefCVeSVquHtokDXWF+xwyGyS6GGZfTMOJKfXv3eod5OkEm5fB4RERGRrWCSTyb1Z3Wp/sBWQZDL+M+LyBzCqufIXzLjSH5qdWf9SB+W6hMRERHZEmZhZDKVGh02n8wBwK76ROYU5mUo1zfjSH51071wNt0jIiIisilM8slktp25jFKVFiGeTmgf7iV2OER2yzCSb87Ge2lXuXweERERkS1ikk8m82dSJoCqhntSzuElMpvQ6pH8gnINSlVas3xGWj6TfCIiIiJbxCSfTKKoQoPtZ64AYKk+kbm5Ocrh6SwHYJ7RfEEQkFY9Jz+Cc/KJiIiIbAqTfDKJzSdyoNbp0STADU0D3cUOh8juhXmZr2Q/r1SNcrUOEsm1qgEiIiIisg1M8skk/jx6rVSfiMwvzNvQfM/0HfbT86tG8YM9nKB0kJn8/YmIiIjIfGwmyf/oo4/QpUsXODs7w9PT86b7pKenY+DAgXB2doa/vz/efPNNaLU156vu2LED7du3h1KpRGxsLJYtW2b+4O3c5eJK7LlwFQDwcBsm+USWYM6R/NQ8zscnIiIislU2k+Sr1Wo88cQTeOWVV276vE6nw8CBA6FWq7Fnzx58//33WLZsGaZOnWrcJyUlBQMHDkSvXr2QlJSE119/HS+99BI2b95sqcOwS38dy4YgAB0ivIxdv4nIvEKrr7VLZhjJZ9M9IiIiItvlIHYAtTVjxgwAuOXI+99//41Tp05hy5YtCAgIQNu2bfHBBx/g7bffxvTp06FQKLBgwQJERUVh7ty5AIBmzZph165d+PTTT9GvXz9LHYrdWVvdVZ8N94gsJ6x6rvylAtOP5KdXN90L92bTPSIiIiJbU6uR/OLi4lo/xJKYmIhWrVohICDAuK1fv34oLi7GyZMnjfv06dOnxuv69euHxMTEW76vSqWymmO0Ril5ZTh6qQgyqQQDWgWJHQ5RgxF6Xbm+IAgmfe/UqxzJJyIiIrJVtRrJ9/T0hERSu3XPdTrdXQVUXzk5OTUSfADGn3Nycm67T3FxMSoqKuDkdGMX6ZkzZxqrCOhGa5OyAABdY33h66oUORqihsPQ9b5MrUNBuQbeLgqTvXc6y/WJiIiIbFatRvK3b9+Obdu2Ydu2bViyZAn8/f3x1ltvYfXq1Vi9ejXeeustBAQEYMmSJXX68EmTJkEikdz2cebMmXodmKlMnjwZRUVFxkdGRoao8VgTQRCMXfVZqk9kWY5yGfzdqm6smbL5XkmlBvllagBAhA/L9YmIiIhsTa1G8nv06GH8/v3338e8efPwzDPPGLc9/PDDaNWqFRYtWoRhw4bV+sMnTpyI4cOH33af6OjoWr1XYGAg9u/fX2Nbbm6u8TnDV8O26/dxd3e/6Sg+ACiVSiiVHKG+mZNZxbh4pQxKByn6tggUOxyiBifM2xmXS1TIKChHmzBPk7xnWnWpvo+LAq5Km2nbQkRERETV6vwXXGJiIhYsWHDD9o4dO+Kll16q03v5+fnBz8+vriHcVHx8PD766CNcvnwZ/v7+AICEhAS4u7ujefPmxn02bNhQ43UJCQmIj483SQwNzZ/VDff6NA9gMkAkgjAvJxxKK0BGvuk67KdxPj4RERGRTavzEnphYWH49ttvb9i+ePFihIWFmSSom0lPT0dSUhLS09Oh0+mQlJSEpKQklJaWAgD69u2L5s2b47nnnsPRo0exefNmvPvuuxgzZoxxJH706NG4ePEi3nrrLZw5cwbffPMNfv31V4wfP95scdsrnV7A2qNV8/EfbsNSfSIxhBmX0TNduX5aflVnfZbqExEREdmmOg+/fvrpp3jsscewceNGxMXFAQD279+P8+fP4/fffzd5gAZTp07F999/b/y5Xbt2AKr6BfTs2RMymQzr1q3DK6+8gvj4eLi4uGDYsGF4//33ja+JiorC+vXrMX78eHz++ecIDQ3F4sWLuXxePexPyUdusQpujg7o2cQ01RhEVDdhhg77BaYbyU+vHskP9+ZIPhEREZEtqnOSP2DAAJw/fx7z58/H6dOnAQAPPfQQRo8ebdaR/GXLlmHZsmW33SciIuKGcvz/6tmzJ44cOWLCyBqmtdUN9wa0DILSQSZyNEQNU6h3VS+RSyZsvJd61TCSzySfiIiIyBbVKcnXaDTo378/FixYgI8++shcMZGVU2l12HC8allCdtUnEo9hJP9SQQX0egFSae2WOr2ddOOcfJbrExEREdmiOs3Jl8vlOHbsmLliIRvxz7k8FFVo4O+mRFy0j9jhEDVYQR6OkEklUOv0uFyiuuv3U2l1yC6uBMCRfCIiIiJbVefGe0OHDsV3331njljIRhi66j/UJhgyE4wcElH9OMikCPJwBABkmKD5XkZ+BQQBcFHI4OOiuOv3IyIiIiLLq/OcfK1WiyVLlmDLli3o0KEDXFxqlnTOmzfPZMGR9SlVabHldC4AluoTWYMwL2dcKqhARn457on0vqv3Srt6rbO+RMIbeERERES2qM5J/okTJ9C+fXsAwLlz52o8xz8K7V/CqRxUavSI8nVBqxAPscMhavDCvJ2QeLFqFP5upRnn47NUn4iIiMhW1TnJ3759uzniIBvx19FsAMDDbYJ5U4fIClxrvnf35frp1V36w5nkExEREdmsOs/Jp4btRGYRAKBnEz+RIyEiAAirXs/eFHPyjcvnebOzPhEREZGtqvNIPgAcPHgQv/76K9LT06FWq2s898cff5gkMLI+5WqtsYN3tK+ryNEQEQCEejkBME25vmH5vEiO5BMRERHZrDqP5K9YsQJdunTB6dOnsXr1amg0Gpw8eRLbtm2DhwfnaNszw3xdL2c5PJzlIkdDRMC1kfzsogpodPp6v49OLxirAViuT0RERGS76pzk/9///R8+/fRT/PXXX1AoFPj8889x5swZPPnkkwgPDzdHjGQlru+8TUTWwc9VCYWDFHoByC6srPf7VN0kECCXSRDk4WTCCImIiIjIkuqc5F+4cAEDBw4EACgUCpSVlUEikWD8+PFYtGiRyQMk65HKUl4iqyOVSq6V7N/FvHxDpU6YtzNkUjbVJCIiIrJVdU7yvby8UFJSAgAICQnBiRMnAACFhYUoL7/7xk9kvTiST2SdDB32M/LvPsmP8OZNPCIiIiJbVufGe927d0dCQgJatWqFJ554AuPGjcO2bduQkJCA3r17myNGshIpeVVJfqQvkwAiaxLmXTWSf6mg/s330vJ5E4+IiIjIHtQ5yf/qq69QWVk17/Odd96BXC7Hnj178Nhjj+Hdd981eYBkPYwjfUwCiKyKcST/bsr186qb7nEkn4iIiMim1TnJ9/b2Nn4vlUoxadIkkwZE1qlSo0N2UdXNnUgm+URWxdBh/67K9atfy0odIiIiIttW5zn5zz//PJYuXYoLFy6YIx6yUunVCYC7owO8uHwekVW51nivfuX6giAgvbrnRrg3b+IRERER2bI6J/kKhQIzZ85Eo0aNEBYWhqFDh2Lx4sU4f/68OeIjK5FqnI/vAomEnbeJrImhXP9KiQqVGl2dX3+1TI0ytQ4SybX5/URERERkm+qc5C9evBjnzp1DRkYGZs+eDVdXV8ydOxdNmzZFaGioOWIkK8D5+ETWy9NZDldl1eyrS/WYl29YOSPYwwlKB5lJYyMiIiIiy6pzkm/g5eUFHx8feHl5wdPTEw4ODvDz8zNlbGRFUquTgEgfztclsjYSieRayX5+3Uv2DTfx2HSPiIiIyPbVOcmfMmUKunTpAh8fH0yaNAmVlZWYNGkScnJycOTIEXPESFaAI/lE1s3YfK9eI/mG65tJPhEREZGtq3N3/VmzZsHPzw/Tpk3D4MGD0bhxY3PERVYmJY8j+UTWzDAv/1I9mu8ZyvV5E4+IiIjI9tU5yT9y5Ah27tyJHTt2YO7cuVAoFOjRowd69uyJnj17Mum3QyqtDllFVYkDkwAi62RomFefZfQMy+dxJJ+IiIjI9tU5yW/Tpg3atGmD1157DQBw9OhRfPrppxgzZgz0ej10urp3dibrlpFfAUEAXBQy+LoqxA6HiG4i1Kv+5frpnJNPREREZDfqnOQLgoAjR45gx44d2LFjB3bt2oXi4mK0bt0aPXr0MEeMJDJDKS+XzyOyXtdG8utWrl9SqcHVMjUAjuQTERER2YM6J/ne3t4oLS1FmzZt0KNHD4wcORLdunWDp6enGcIja5BaPcoXyVJ9IqtlmJNfVKFBcaUG7o7yWr3O0HTPx0UBt1q+hoiIiIisV52T/J9++gndunWDu7u7OeIhK3StKRdH+YislYvSAd4uCuSXqZGRX44WwR61el169Xz8cF7fRERERHahzkvoDRw4EO7u7khOTsbmzZtRUVFVGioIgsmDI+vAkXwi2xDmVfeSfePyeZyPT0RERGQX6pzkX716Fb1790bjxo0xYMAAZGdnAwBGjBiBiRMnmjxAEl9qHkfyiWxBqLdhGb3aN9/j8nlERERE9qXOSf748eMhl8uRnp4OZ+drSd9TTz2FTZs2mTQ4Ep9aqzcmDJG+TAKIrJlhXv6lgnqM5PMmHhEREZFdqPOc/L///hubN29GaGhoje2NGjVCWlqayQIj65BZWAG9ADjJZfB3U4odDhHdxrUO+7UfyTfMyWeST0RERGQf6jySX1ZWVmME3yA/Px9KJZNAe5N6XdM9Lp9HZN1Cq0fyM2pZrq/S6pBVVDXqH+7NSh0iIiIie1DnJL9bt2744YcfjD9LJBLo9XrMnj0bvXr1MmlwJL606vn4bLpHZP2ub7xXm2aoVfsBLgoZfF0V5g6PiIiIiCygzuX6s2fPRu/evXHw4EGo1Wq89dZbOHnyJPLz87F7925zxEgiMnTWj/BlKS+RtQvxcoJEAlRodLhapoav6+2rq9Lzq27ihfu4sFKHiIiIyE7UeSS/ZcuWOHfuHLp27YpHHnkEZWVlGDx4MI4cOYKYmBhzxEgiMnTe5kg+kfVTOsgQ4OYIoHbz8rl8HhEREZH9qdNIvkajQf/+/bFgwQK888475oqJrEgqO28T2ZQwbyfkFFcio6AC7cK9brtvGit1iIiIiOxOnUby5XI5jh07Zq5YyMpodXrjaCBH8olsw7Vl9Gozkl/dWJNN94iIiIjsRp3L9YcOHYrvvvvOHLGQlckqrIRWL0DpIEWgu6PY4RBRLYRWl95n5Ffccd80Lp9HREREZHfq3HhPq9ViyZIl2LJlCzp06AAXl5ojQPPmzTNZcCSu65fPk0rZlIvIFoRWd9i/00i+Ti8YK3XCOSefiIiIyG7UOck/ceIE2rdvDwA4d+5cjefYndm+GEt5WapPZDMM5fp3aryXXVQBjU6AXCZBsKeTJUIjIiIiIguoc5K/fft2c8RBVsjQdC+SpbxENiPMuyphzyysgE4vQHaLKpz06us7zMv5lvsQERERke2p85x8ajg4kk9ke4I8nOAglUCjE5BbXHnL/Qzz8cN5E4+IiIjIrjDJp1tKyatK8tlZn8h2yKTXyu9vV7Jv6LnB65uIiIjIvjDJp5uqaspV1Z2bnbeJbIuhZP9Swa077BvK9dl0j4iIiMi+2EyS/9FHH6FLly5wdnaGp6fnTfeRSCQ3PFasWFFjnx07dqB9+/ZQKpWIjY3FsmXLzB+8DcouqoBap2dTLiIbZGy+d5sO+2lXuXweERERkT2ymSRfrVbjiSeewCuvvHLb/ZYuXYrs7GzjY9CgQcbnUlJSMHDgQPTq1QtJSUl4/fXX8dJLL2Hz5s1mjt72GBKAMG825SKyNWHehg77Nx/JFwThup4bTPKJiIiI7EmtuuuvXbu21m/48MMP1zuY25kxYwYA3HHk3dPTE4GBgTd9bsGCBYiKisLcuXMBAM2aNcOuXbvw6aefol+/fiaN19YZ5utGcb4ukc0J9aqek3+LkfyrZWqUqXWQSIBQLyb5RERERPakVkn+9aPhtyORSKDT6e4mnrs2ZswYvPTSS4iOjsbo0aPxwgsvQCKpGolOTExEnz59auzfr18/vP7667d8P5VKBZVKZfy5uLjYLHFbm2ulvEzyiWyNIXG/dIvGe4brO8jdEY5ymcXiIiIiIiLzq1WSr9frzR2HSbz//vu477774OzsjL///hv/+9//UFpaitdeew0AkJOTg4CAgBqvCQgIQHFxMSoqKuDkdOPc85kzZxqrCBqSVENnfV+O8hHZGkPjveziSqi1eigcas7MMpTqc/k8IiIiIvsj6pz8SZMm3bRZ3vWPM2fO1Pr93nvvPdx7771o164d3n77bbz11luYM2fOXcU4efJkFBUVGR8ZGRl39X62giP5RLbLz1UJR7kUggBkFd44L99wfXP5PCIiIiL7U6uR/P8qKyvDzp07kZ6eDrVaXeM5w6h5bUycOBHDhw+/7T7R0dH1CREAEBcXhw8++AAqlQpKpRKBgYHIzc2tsU9ubi7c3d1vOooPAEqlEkqlst4x2CK9XrhuDW2O9BHZGolEglAvZyRfLkVGQTkifWsm8+nVZfwcySciIiKyP3VO8o8cOYIBAwagvLwcZWVl8Pb2Rl5eHpydneHv71+nJN/Pzw9+fn51DaHWkpKS4OXlZUzS4+PjsWHDhhr7JCQkID4+3mwx2KLckkqotHo4SCUI4fJ5RDYpzMsJyZdLcangZiP51Z31vTmST0RERGRv6pzkjx8/Hg899BAWLFgADw8P7N27F3K5HEOHDsW4cePMESMAID09Hfn5+UhPT4dOp0NSUhIAIDY2Fq6urvjrr7+Qm5uLzp07w9HREQkJCfi///s/vPHGG8b3GD16NL766iu89dZbePHFF7Ft2zb8+uuvWL9+vdnitkWpeVWjfKFeTnCQ2cwqi0R0nWvL6N3YfO/adByO5BMRERHZmzon+UlJSVi4cCGkUilkMhlUKhWio6Mxe/ZsDBs2DIMHDzZHnJg6dSq+//5748/t2rUDAGzfvh09e/aEXC7H119/jfHjx0MQBMTGxmLevHkYOXKk8TVRUVFYv349xo8fj88//xyhoaFYvHgxl8/7D8Mo339LfInIdlxbRq/mSH6pSourZVXTrFiuT0RERGR/6pzky+VySKVVo7v+/v5IT09Hs2bN4OHhYdamdMuWLcOyZctu+Xz//v3Rv3//O75Pz549ceTIERNGZn9S2ZSLyOaFed18JN9wE8/bRQF3R7nF4yIiIiIi86pzkt+uXTscOHAAjRo1Qo8ePTB16lTk5eXhxx9/RMuWLc0RI1mYcb4uR/mIbJahXP9SwX+T/Oqme968vomIiIjsUZ0nXP/f//0fgoKCAAAfffQRvLy88Morr+DKlStYuHChyQMky+NIPpHtM4zk55WqUa7WGrdfWz6PST4RERGRParzSH7Hjh2N3/v7+2PTpk0mDYjEJQgCR/KJ7ICHsxxujg4oqdTiUkEFGge4AQDS86uu73DexCMiIiKyS3Ueyb/vvvtQWFh4w/bi4mLcd999poiJRHSlRIVytQ5SCRDqxSSfyJbdbF6+sbM+y/WJiIiI7FKdk/wdO3ZArVbfsL2yshL//vuvSYIi8RhK9UO8nKBw4PJ5RLYszLuqw/6l6zrsc/k8IiIiIvtW63L9Y8eOGb8/deoUcnJyjD/rdDps2rQJISEhpo2OLC7VsHweS3mJbN5/R/JVWh2yiqoS/ghe40RERER2qdZJftu2bSGRSCCRSG5alu/k5IQvv/zSpMGR5aUxySeyG6FeVSP5GdUd9i8VVEAQAGeFDL6uCjFDIyIiIiIzqXWSn5KSAkEQEB0djf3798PPz8/4nEKhgL+/P2QymVmCJMtJZSkvkd0wLKOXkV81em+4iRfu7QyJRCJaXERERERkPrVO8iMiIgAAer3ebMGQ+DiST2Q/jEl+9Uh+GpfHJCIiIrJ7dV5CDwAuXLiAzz77DKdPnwYANG/eHOPGjUNMTIxJgyPLEgQBqXnVSYAvR/KJbJ2hXL+kUouicg2b7hERERE1AHVun75582Y0b94c+/fvR+vWrdG6dWvs27cPLVq0QEJCgjliJAu5WqZGqUoLCZfPI7ILzgoH49z7jIJypFc34Atnkk9ERERkt+o8kj9p0iSMHz8es2bNumH722+/jfvvv99kwZFlGUr1gz2c4ChnfwUiexDq5Yy8UjUuFZQbV8+I8Ga5PhEREZG9qvNI/unTpzFixIgbtr/44os4deqUSYIicRhK9VnKS2Q/DPPy066W41K+Yfk8XuNERERE9qrOSb6fnx+SkpJu2J6UlAR/f39TxEQiMTbd8+UoH5G9MMzLP5CaD7VOD7lMgmBPJ5GjIiIiIiJzqXW5/vvvv4833ngDI0eOxKhRo3Dx4kV06dIFALB79258/PHHmDBhgtkCJfNLNXbe5igfkb0Iq+6vsfdiPoCq8n2ZlMvnEREREdmrWif5M2bMwOjRo/Hee+/Bzc0Nc+fOxeTJkwEAwcHBmD59Ol577TWzBUrmZxjJj+DyWkR2I8y7atS+VKUFwFJ9IiIiIntX6yRfEAQAgEQiwfjx4zF+/HiUlJQAANzc3MwTHVlUKtfQJrI7Yf9ZKSPCm0k+ERERkT2rU3d9iaRmiSeTe/tRUKZGUYUGABDOJIDIbgR7OkEiAarv0yKcN/GIiIiI7FqdkvzGjRvfkOj/V35+/l0FROIwLK0V6O4IJwWXzyOyFwoHKYLcHZFVVAmAPTeIiIiI7F2dkvwZM2bAw8PDXLGQiNKucvk8InsV6u1sTPJ5jRMRERHZtzol+U8//TSXybNThpH8KC6fR2R3wrycsT8lHxJJVXd9IiIiIrJf0trueKcyfbJt10bymeQT2ZtQr6oO+4HujnCUczoOERERkT2rdZJv6K5P9skwks/5ukT2J9qv6uZdjJ+ryJEQERERkbnVulxfr9ebMw4SGUfyiexXvxaBeLNfE9zXlNOtiIiIiOxdnebkk30qqtAgv0wNgE25iOyRo1yGMb1ixQ6DiIiIiCyg1uX6ZL/Sqkv1/dyUcFHyvg8REREREZGtYpJPSK0u1ed8fCIiIiIiItvGJJ+Qlmdousf5+ERERERERLaMST5dG8n3ZZJPRERERERky5jkk3FOPpvuERERERER2TYm+XTdnHyO5BMREREREdkyJvkNXEmlBnmlKgBAOEfyiYiIiIiIbBqT/AYurXoU38dFAXdHucjREBERERER0d1gkt/AGZJ8zscnIiIiIiKyfUzyG7jUq1w+j4iIiIiIyF4wyW/gDJ31uXweERERERGR7WOS38ClslyfiIiIiIjIbjDJb+DSWK5PRERERERkN5jkN2Dlai1yi6uWz2OST0REREREZPuY5Ddghs76ns5yeDhz+TwiIiIiIiJbxyS/ATOU6kdwFJ+IiIiIiMguMMlvwAxN9yLZdI+IiIiIiMguMMlvwNh0j4iIiIiIyL7YRJKfmpqKESNGICoqCk5OToiJicG0adOgVqtr7Hfs2DF069YNjo6OCAsLw+zZs294r1WrVqFp06ZwdHREq1atsGHDBksdhtVJzaseyfflSD4REREREZE9sIkk/8yZM9Dr9Vi4cCFOnjyJTz/9FAsWLMCUKVOM+xQXF6Nv376IiIjAoUOHMGfOHEyfPh2LFi0y7rNnzx4888wzGDFiBI4cOYJBgwZh0KBBOHHihBiHJTrOySciIiIiIrIvEkEQBLGDqI85c+Zg/vz5uHjxIgBg/vz5eOedd5CTkwOFQgEAmDRpEtasWYMzZ84AAJ566imUlZVh3bp1xvfp3Lkz2rZtiwULFtTqc4uLi+Hh4YGioiK4u7ub+Kgsp1KjQ9P3NgEADr93P7xdFCJHRERERERERDdTlzzUJkbyb6aoqAje3t7GnxMTE9G9e3djgg8A/fr1w9mzZ1FQUGDcp0+fPjXep1+/fkhMTLzl56hUKhQXF9d42IP0/KpSfTdHB3hx+TwiIiIiIiK7YJNJfnJyMr788ku8/PLLxm05OTkICAiosZ/h55ycnNvuY3j+ZmbOnAkPDw/jIywszFSHIarUvGtN9yQSicjREBERERERkSmImuRPmjQJEonktg9Dqb1BZmYm+vfvjyeeeAIjR440e4yTJ09GUVGR8ZGRkWH2z7SEtOrl8yK4fB4REREREZHdcBDzwydOnIjhw4ffdp/o6Gjj91lZWejVqxe6dOlSo6EeAAQGBiI3N7fGNsPPgYGBt93H8PzNKJVKKJXKOx6LrUnl8nlERERERER2R9Qk38/PD35+frXaNzMzE7169UKHDh2wdOlSSKU1ixDi4+PxzjvvQKPRQC6vmmOekJCAJk2awMvLy7jP1q1b8frrrxtfl5CQgPj4eNMckA0xjORH+jLJJyIiIiIishc2MSc/MzMTPXv2RHh4OD755BNcuXIFOTk5NebSP/vss1AoFBgxYgROnjyJlStX4vPPP8eECROM+4wbNw6bNm3C3LlzcebMGUyfPh0HDx7E2LFjxTgsUV0byWe5PhERERERkb0QdSS/thISEpCcnIzk5GSEhobWeM6wAqCHhwf+/vtvjBkzBh06dICvry+mTp2KUaNGGfft0qULli9fjnfffRdTpkxBo0aNsGbNGrRs2dKixyM2lVaHrMIKAEAEy/WJiIiIiIjshkQwZMlUK3VZn9BaJV8uRZ95O+GikOHEjH7srk9ERERERGTF6pKH2kS5PplWWnWpfgSXzyMiIiIiIrIrTPIboFRj0z3OxyciIiIiIrInTPIboOtH8omIiIiIiMh+MMlvgAwj+VFM8omIiIiIiOwKk/wG6NpIPsv1iYiIiIiI7AmT/AZGo9PjUkHV8nmRvhzJJyIiIiIisidM8huYSwUV0OkFOMql8HdTih0OERERERERmRCT/AYmtbpUP5LL5xEREREREdkdJvkNTFoe5+MTERERERHZKyb5DYyhs34kO+sTERERERHZHSb5DYyhsz6b7hEREREREdkfJvkNTFr1SD7L9YmIiIiIiOwPk/wGRKvTI6OA5fpERERERET2ikl+A5JdVAmNToDCQYpAd0exwyEiIiIiIiITY5LfgKQYOut7O0Mq5fJ5RERERERE9oZJfgNiaLoXwVJ9IiIiIiIiu8QkvwG5tnwem+4RERERERHZIyb5DYhxJJ/L5xEREREREdklJvkNiGEkP4rl+kRERERERHaJSX4DodMLSK9O8iNYrk9ERERERGSXmOQ3EDnFlVDr9JDLJAj2dBI7HCIiIiIiIjIDJvkNRGr18nlh3s6Qcfk8IiIiIiIiu8Qkv4FIrW66F8n5+ERERERERHaLSX4Dkcb5+ERERERERHaPSX4DYSjX50g+ERERERGR/WKS30AYRvIjfZnkExERERER2Ssm+Q2AXi8gLd8wks9yfSIiIiIiInvFJL8BuFyiQqVGDwepBCFcPo+IiIiIiMhuMclvAFKq5+OHejnBQcZTTkREREREZK+Y8TUAadXL50Ww6R4REREREZFdY5LfAKQamu5xPj4REREREZFdY5LfAHAkn4iIiIiIqGFgkt8AGEbyo7h8HhERERERkV1jkm/nBEG4biSf5fpERERERET2jEm+nbtSqkK5WgepBAj1YpJPRERERERkz5jk27m06lL9EC8nKBx4uomIiIiIiOwZsz47l5JXVaofyaZ7REREREREdo9Jvp3jfHwiIiIiIqKGg0m+nTN01udIPhERERERkf1jkm/nro3kM8knIiIiIiKyd0zy7ZggCEjLqxrJj/JluT4REREREZG9Y5Jvx/LL1ChRaSHh8nlEREREREQNApN8O2aYjx/s4QRHuUzkaIiIiIiIiMjcmOTbsdQ8dtYnIiIiIiJqSGwiyU9NTcWIESMQFRUFJycnxMTEYNq0aVCr1TX2kUgkNzz27t1b471WrVqFpk2bwtHREa1atcKGDRssfTgWw6Z7REREREREDYuD2AHUxpkzZ6DX67Fw4ULExsbixIkTGDlyJMrKyvDJJ5/U2HfLli1o0aKF8WcfHx/j93v27MEzzzyDmTNn4sEHH8Ty5csxaNAgHD58GC1btrTY8VjKteXzOJJPRERERETUEEgEQRDEDqI+5syZg/nz5+PixYsAqkbyo6KicOTIEbRt2/amr3nqqadQVlaGdevWGbd17twZbdu2xYIFC276GpVKBZVKZfy5uLgYYWFhKCoqgru7u+kOyAwe+WoXjl4qwoKhHdC/ZaDY4RAREREREVE9FBcXw8PDo1Z5qE2U699MUVERvL29b9j+8MMPw9/fH127dsXatWtrPJeYmIg+ffrU2NavXz8kJibe8nNmzpwJDw8P4yMsLMw0B2ABhpH8KF+W6xMRERERETUENpnkJycn48svv8TLL79s3Obq6oq5c+di1apVWL9+Pbp27YpBgwbVSPRzcnIQEBBQ470CAgKQk5Nzy8+aPHkyioqKjI+MjAzTH5AZFJarUVShAQCEe7Ncn4iIiIiIqCEQdU7+pEmT8PHHH992n9OnT6Np06bGnzMzM9G/f3888cQTGDlypHG7r68vJkyYYPz5nnvuQVZWFubMmYOHH3643jEqlUoolcp6v14shlH8QHdHOCm4fB4REREREVFDIGqSP3HiRAwfPvy2+0RHRxu/z8rKQq9evdClSxcsWrToju8fFxeHhIQE48+BgYHIzc2tsU9ubi4CA+1vvjqXzyMiIiIiImp4RE3y/fz84OfnV6t9MzMz0atXL3To0AFLly6FVHrnmQZJSUkICgoy/hwfH4+tW7fi9ddfN25LSEhAfHx8nWO3dqnVy+dFcvk8IiIiIiKiBsMmltDLzMxEz549ERERgU8++QRXrlwxPmcYhf/++++hUCjQrl07AMAff/yBJUuWYPHixcZ9x40bhx49emDu3LkYOHAgVqxYgYMHD9aqKsDWtAn1xLNx4egc7XPnnYmIiIiIiMgu2ESSn5CQgOTkZCQnJyM0NLTGc9evAPjBBx8gLS0NDg4OaNq0KVauXInHH3/c+HyXLl2wfPlyvPvuu5gyZQoaNWqENWvWoGXLlhY7Fkvp1dQfvZr6ix0GERERERERWZBEuD5Lpjuqy/qERERERERERHerLnmoTS6hR0REREREREQ3YpJPREREREREZCeY5BMRERERERHZCSb5RERERERERHaCST4RERERERGRnWCST0RERERERGQnmOQTERERERER2Qkm+URERERERER2wkHsAGyNIAgAgOLiYpEjISIiIiIioobAkH8a8tHbYZJfRyUlJQCAsLAwkSMhIiIiIiKihqSkpAQeHh633Uci1OZWABnp9XpkZWXBzc0NEolE7HBuq7i4GGFhYcjIyIC7u7vY4dAd8HzZFp4v28NzZlt4vmwPz5lt4fmyLTxftsfU50wQBJSUlCA4OBhS6e1n3XMkv46kUilCQ0PFDqNO3N3d+cvAhvB82RaeL9vDc2ZbeL5sD8+ZbeH5si08X7bHlOfsTiP4Bmy8R0RERERERGQnmOQTERERERER2Qkm+XZMqVRi2rRpUCqVYodCtcDzZVt4vmwPz5lt4fmyPTxntoXny7bwfNkeMc8ZG+8RERERERER2QmO5BMRERERERHZCSb5RERERERERHaCST4RERERERGRnWCST0RERERERGQnmOQTERERERER2Qkm+Xbq66+/RmRkJBwdHREXF4f9+/eLHRIBmD59OiQSSY1H06ZNjc9XVlZizJgx8PHxgaurKx577DHk5uaKGHHD888//+Chhx5CcHAwJBIJ1qxZU+N5QRAwdepUBAUFwcnJCX369MH58+dr7JOfn48hQ4bA3d0dnp6eGDFiBEpLSy14FA3Hnc7X8OHDb7jm+vfvX2Mfni/LmTlzJu655x64ubnB398fgwYNwtmzZ2vsU5vfg+np6Rg4cCCcnZ3h7++PN998E1qt1pKH0iDU5nz17Nnzhmts9OjRNfbh+bKc+fPno3Xr1nB3d4e7uzvi4+OxceNG4/O8vqzLnc4Xry/rNmvWLEgkErz++uvGbdZyjTHJt0MrV67EhAkTMG3aNBw+fBht2rRBv379cPnyZbFDIwAtWrRAdna28bFr1y7jc+PHj8dff/2FVatWYefOncjKysLgwYNFjLbhKSsrQ5s2bfD111/f9PnZs2fjiy++wIIFC7Bv3z64uLigX79+qKysNO4zZMgQnDx5EgkJCVi3bh3++ecfjBo1ylKH0KDc6XwBQP/+/Wtcc7/88kuN53m+LGfnzp0YM2YM9u7di4SEBGg0GvTt2xdlZWXGfe70e1Cn02HgwIFQq9XYs2cPvv/+eyxbtgxTp04V45DsWm3OFwCMHDmyxjU2e/Zs43M8X5YVGhqKWbNm4dChQzh48CDuu+8+PPLIIzh58iQAXl/W5k7nC+D1Za0OHDiAhQsXonXr1jW2W801JpDd6dSpkzBmzBjjzzqdTggODhZmzpwpYlQkCIIwbdo0oU2bNjd9rrCwUJDL5cKqVauM206fPi0AEBITEy0UIV0PgLB69Wrjz3q9XggMDBTmzJlj3FZYWCgolUrhl19+EQRBEE6dOiUAEA4cOGDcZ+PGjYJEIhEyMzMtFntD9N/zJQiCMGzYMOGRRx655Wt4vsR1+fJlAYCwc+dOQRBq93tww4YNglQqFXJycoz7zJ8/X3B3dxdUKpVlD6CB+e/5EgRB6NGjhzBu3LhbvobnS3xeXl7C4sWLeX3ZCMP5EgReX9aqpKREaNSokZCQkFDjHFnTNcaRfDujVqtx6NAh9OnTx7hNKpWiT58+SExMFDEyMjh//jyCg4MRHR2NIUOGID09HQBw6NAhaDSaGueuadOmCA8P57mzEikpKcjJyalxjjw8PBAXF2c8R4mJifD09ETHjh2N+/Tp0wdSqRT79u2zeMwE7NixA/7+/mjSpAleeeUVXL161fgcz5e4ioqKAADe3t4Aavd7MDExEa1atUJAQIBxn379+qG4uLjG6BeZ3n/Pl8HPP/8MX19ftGzZEpMnT0Z5ebnxOZ4v8eh0OqxYsQJlZWWIj4/n9WXl/nu+DHh9WZ8xY8Zg4MCBNa4lwLr+H+Zgsnciq5CXlwedTlfjHw4ABAQE4MyZMyJFRQZxcXFYtmwZmjRpguzsbMyYMQPdunXDiRMnkJOTA4VCAU9PzxqvCQgIQE5OjjgBUw2G83Cz68vwXE5ODvz9/Ws87+DgAG9vb55HEfTv3x+DBw9GVFQULly4gClTpuCBBx5AYmIiZDIZz5eI9Ho9Xn/9ddx7771o2bIlANTq92BOTs5Nr0HDc2QeNztfAPDss88iIiICwcHBOHbsGN5++22cPXsWf/zxBwCeLzEcP34c8fHxqKyshKurK1avXo3mzZsjKSmJ15cVutX5Anh9WaMVK1bg8OHDOHDgwA3PWdP/w5jkE1nQAw88YPy+devWiIuLQ0REBH799Vc4OTmJGBmRfXr66aeN37dq1QqtW7dGTEwMduzYgd69e4sYGY0ZMwYnTpyo0ZeErNetztf1/StatWqFoKAg9O7dGxcuXEBMTIylwyQATZo0QVJSEoqKivDbb79h2LBh2Llzp9hh0S3c6nw1b96c15eVycjIwLhx45CQkABHR0exw7ktluvbGV9fX8hkshu6OObm5iIwMFCkqOhWPD090bhxYyQnJyMwMBBqtRqFhYU19uG5sx6G83C76yswMPCGJpdarRb5+fk8j1YgOjoavr6+SE5OBsDzJZaxY8di3bp12L59O0JDQ43ba/N7MDAw8KbXoOE5Mr1bna+biYuLA4Aa1xjPl2UpFArExsaiQ4cOmDlzJtq0aYPPP/+c15eVutX5uhleX+I6dOgQLl++jPbt28PBwQEODg7YuXMnvvjiCzg4OCAgIMBqrjEm+XZGoVCgQ4cO2Lp1q3GbXq/H1q1ba8zvIetQWlqKCxcuICgoCB06dIBcLq9x7s6ePYv09HSeOysRFRWFwMDAGueouLgY+/btM56j+Ph4FBYW4tChQ8Z9tm3bBr1eb/yfM4nn0qVLuHr1KoKCggDwfFmaIAgYO3YsVq9ejW3btiEqKqrG87X5PRgfH4/jx4/XuDmTkJAAd3d3Y4krmcadztfNJCUlAUCNa4znS1x6vR4qlYrXl40wnK+b4fUlrt69e+P48eNISkoyPjp27IghQ4YYv7eaa8xkLfzIaqxYsUJQKpXCsmXLhFOnTgmjRo0SPD09a3RxJHFMnDhR2LFjh5CSkiLs3r1b6NOnj+Dr6ytcvnxZEARBGD16tBAeHi5s27ZNOHjwoBAfHy/Ex8eLHHXDUlJSIhw5ckQ4cuSIAECYN2+ecOTIESEtLU0QBEGYNWuW4OnpKfz555/CsWPHhEceeUSIiooSKioqjO/Rv39/oV27dsK+ffuEXbt2CY0aNRKeeeYZsQ7Jrt3ufJWUlAhvvPGGkJiYKKSkpAhbtmwR2rdvLzRq1EiorKw0vgfPl+W88sorgoeHh7Bjxw4hOzvb+CgvLzfuc6ffg1qtVmjZsqXQt29fISkpSdi0aZPg5+cnTJ48WYxDsmt3Ol/JycnC+++/Lxw8eFBISUkR/vzzTyE6Olro3r278T14vixr0qRJws6dO4WUlBTh2LFjwqRJkwSJRCL8/fffgiDw+rI2tztfvL5sw39XQLCWa4xJvp368ssvhfDwcEGhUAidOnUS9u7dK3ZIJAjCU089JQQFBQkKhUIICQkRnnrqKSE5Odn4fEVFhfC///1P8PLyEpydnYVHH31UyM7OFjHihmf79u0CgBsew4YNEwShahm99957TwgICBCUSqXQu3dv4ezZszXe4+rVq8IzzzwjuLq6Cu7u7sILL7wglJSUiHA09u9256u8vFzo27ev4OfnJ8jlciEiIkIYOXLkDTc8eb4s52bnCoCwdOlS4z61+T2YmpoqPPDAA4KTk5Pg6+srTJw4UdBoNBY+Gvt3p/OVnp4udO/eXfD29haUSqUQGxsrvPnmm0JRUVGN9+H5spwXX3xRiIiIEBQKheDn5yf07t3bmOALAq8va3O788Xryzb8N8m3lmtMIgiCYLq6ACIiIiIiIiISC+fkExEREREREdkJJvlEREREREREdoJJPhEREREREZGdYJJPREREREREZCeY5BMRERERERHZCSb5RERERERERHaCST4RERERERGRnWCST0RERPWSmpoKiUSCpKQks33G8OHDMWjQILO9PxERkb1hkk9ERNRADR8+HBKJ5IZH//79a/X6sLAwZGdno2XLlmaOlIiIiGrLQewAiIiISDz9+/fH0qVLa2xTKpW1eq1MJkNgYKA5wiIiIqJ64kg+ERFRA6ZUKhEYGFjj4eXlBQCQSCSYP38+HnjgATg5OSE6Ohq//fab8bX/LdcvKCjAkCFD4OfnBycnJzRq1KjGDYTjx4/jvvvug5OTE3x8fDBq1CiUlpYan9fpdJgwYQI8PT3h4+ODt956C4Ig1IhXr9dj5syZiIqKgpOTE9q0aVMjpjvFQEREZO+Y5BMREdEtvffee3jsscdw9OhRDBkyBE8//TROnz59y31PnTqFjRs34vTp05g/fz58fX0BAGVlZejXrx+8vLxw4MABrFq1Clu2bMHYsWONr587dy6WLVuGJUuWYNeuXcjPz8fq1atrfMbMmTPxww8/YMGCBTh58iTGjx+PoUOHYufOnXeMgYiIqCGQCP+9RU5EREQNwvDhw/HTTz/B0dGxxvYpU6ZgypQpkEgkGD16NObPn298rnPnzmjfvj2++eYbpKamIioqCkeOHEHbtm3x8MMPw9fXF0uWLLnhs7799lu8/fbbyMjIgIuLCwBgw4YNeOihh5CVlYWAgAAEBwdj/PjxePPNNwEAWq0WUVFR6NChA9asWQOVSgVvb29s2bIF8fHxxvd+6aWXUF5ejuXLl982BiIiooaAc/KJiIgasF69etVI4gHA29vb+P31ybTh51t103/llVfw2GOP4fDhw+jbty8GDRqELl26AABOnz6NNm3aGBN8ALj33nuh1+tx9uxZODo6Ijs7G3FxccbnHRwc0LFjR2PJfnJyMsrLy3H//ffX+Fy1Wo127drdMQYiIqKGgEk+ERFRA+bi4oLY2FiTvNcDDzyAtLQ0bNiwAQkJCejduzfGjBmDTz75xCTvb5i/v379eoSEhNR4ztAs0NwxEBERWTvOySciIqJb2rt37w0/N2vW7Jb7+/n5YdiwYfjpp5/w2WefYdGiRQCAZs2a4ejRoygrKzPuu3v3bkilUjRp0gQeHh4ICgrCvn37jM9rtVocOnTI+HPz5s2hVCqRnp6O2NjYGo+wsLA7xkBERNQQcCSfiIioAVOpVMjJyamxzcHBwdisbtWqVejYsSO6du2Kn3/+Gfv378d333130/eaOnUqOnTogBYtWkClUmHdunXGGwJDhgzBtGnTMGzYMEyfPh1XrlzBq6++iueeew4BAQEAgHHjxmHWrFlo1KgRmjZtinnz5qGwsND4/m5ubnjjjTcwfvx46PV6dO3aFUVFRdi9ezfc3d0xbNiw28ZARETUEDDJJyIiasA2bdqEoKCgGtuaNGmCM2fOAABmzJiBFStW4H//+x+CgoLwyy+/oHnz5jd9L4VCgcmTJyM1NRVOTk7o1q0bVqxYAQBwdnbG5s2bMW7cONxzzz1wdnbGY489hnnz5hlfP3HiRGRnZ2PYsGGQSqV48cUX8eijj6KoqMi4zwcffAA/Pz/MnDkTFy9ehKenJ9q3b48pU6bcMQYiIqKGgN31iYiI6KYkEglWr16NQYMGiR0KERER1RLn5BMRERERERHZCSb5RERERERERHaCc/KJiIjopjijj4iIyPZwJJ+IiIiIiIjITjDJJyIiIiIiIrITTPKJiIiIiIiI7ASTfCIiIiIiIiI7wSSfiIiIiIiIyE4wySciIiIiIiKyE0zyiYiIiIiIiOwEk3wiIiIiIiIiO8Ekn4iIiIiIyM59/fXXiIyMhKOjI+Li4rB//36xQyIzYZJPRERERERkx1auXIkJEyZg2rRpOHz4MNq0aYN+/frh8uXLYodGZiARBEEQOwgiIiIiIiKqPZVKBZVKVWObUqmEUqm8Yd+4uDjcc889+OqrrwAAer0eYWFhePXVVzFp0iSLxEuW4yB2ALbIxTFG7BBE0Ul2v9ghiMJXrhA7BFFEukjEDkEU/o5asUMQhY9SLXYIonBXNMzjdpE3zOP2dikROwRRhIZkiR2CKLwbp4sdgigUMeVihyAK2VDbPW4dfq7X62bOPI8ZM2bU2DZt2jRMnz69xja1Wo1Dhw5h8uTJxm1SqRR9+vRBYmJivT6brBuTfCIiIiIiIpHo9bp6vW7y5MmYMGFCjW03G8XPy8uDTqdDQEBAje0BAQE4c+ZMvT6brBuTfCIiIiIiIpEIQv2qCG9Vmk/ExntERERERER2ytfXFzKZDLm5uTW25+bmIjAwUKSoyJyY5BMREREREYlEEHT1etSWQqFAhw4dsHXrVuM2vV6PrVu3Ij4+3hyHRCJjuT4REREREZFI9PUs16+LCRMmYNiwYejYsSM6deqEzz77DGVlZXjhhRfM/tlkeUzyiYiIiIiIRFLfOfl18dRTT+HKlSuYOnUqcnJy0LZtW2zatOmGZnxkH5jkExERERERicQSST4AjB07FmPHjrXIZ5G4mOQTERERERGJRNBbJsmnhoNJPhERERERkVgsNJJPDQeTfCIiIiIiIpFYqlyfGg4m+URERERERGLRa8SOgOwMk3wiIiIiIiKRcCSfTI1JPhERERERkVjYeI9MjEk+ERERERGRWJjkk4lJxQ6AiIiIiIiIiEyDI/lERERERERi4Zx8MjEm+URERERERCKRsFyfTIxJPhERERERkViY5JOJMcknIiIiIiISC5N8MjEm+URERERERCKRcE4+mRiTfCIiIiIiIrHodWJHQHaGST4REREREZFI2HiPTI1JPhERERERkVg4kk8mxiSfiIiIiIhILBzJJxNjkm9jZDIZHBxkUKs1EARB7HCIiIiIiAAAWj2g0wNyGSCViB2N7ZBwJJ9MTCp2AFQ38z6bjvyi0+jarZPYoRARERERGX240QvtZobhYJpS7FCIGjSO5BMREREREYmFI/lkYkzyiYiIiIiIRMJyfTI1JvlERERERERiYZJPJsY5+WRz3Lyc0euxDmKHYXGuns7o8mg7scOwOCdPZ7R5uOEdt6OHM5oMbC92GBan8HBGVP+OYodhcXJ3F4T2bXi9VuTuLgi8v7PYYViczM0V3r26iR2GxUlc3OHUua/YYVieoydkLQaJHQVZMYleV68H0a1wJJ9szge/jEare2Ph7u2KP7/dKXY4FvPmzy+haXw0XL1d8Pd3u8QOx2KGLR6BqLhoOHu5IPH7hnPcg+aPQug9MXDydEHSz/+KHY7F9P7ifwjs0AhKT1ecWbFD7HAspsu81+DbvjEUnq64+Os2scOxmPZzJsKrbROc8nBD+m8JYodjMY0/eAdurVsg1d0Nl//cIHY4FuMzfi4UTdpB6uqBsi2rxA7HYhRP/QBpRGfAyQu6g0vFDoesERN2MjGO5JPNWTz9T1SUqvD6Z89g0Ms9xQ7HYpa//xcqS9UYOfdJ9B/ZcEaANs1aB3WZGoP/7wl0Gd5wjvvfuWuhLlPh/vefRrvneogdjsUc+mw1NOUqdJk6BM2e7SV2OBZz4qvfoC1Xof2UYYh5qo/Y4VjM2a9XQFdeiRZvv4jwJxrOCG/G4h+gr6hE1Pj/IeDRB8UOx2KKf/0Kgqocni9Mhsv9T4kdjsVot30IqMugGDgHsntGiB0OWSGO5JOp2XWSn5eXh9mzZ+PRRx9FfHw84uPj8eijj2LOnDm4cuWK2OFRPZ3YewFvPfIFSosqMG7e03h0dE+xQ7KIs/tS8NFj36C8qAIj5jyB/qO6ix2SRaQeTMHiIfNRUVyBRz96HPe+0DAS/cxDF/HbC19DVVKBPtOfRLvnG0aif/nIBWwe+RnUJeWIf/dZNBtyn9ghWcTVpPP4939zoCkpR7vJzyHm6YaR6BceO4cDr82CprQcLd56ARFP9hM7JIsoPXEaZ96cCm1pGSLHjW4wib763FFcnTUW+vISeA5/Gy59G0air8/YD/VPT0CoLIZiwMeQdXpJ7JDI2uh19XsQ3YLdlusfOHAA/fr1g7OzM/r06YPGjRsDAHJzc/HFF19g1qxZ2Lx5Mzp2vP3cT5VKBZVKVWObIAiQSCRmi70hmvztcDTtEFmn1wh6PQDgtblPozi/DFt/PWCGyMxr7IKhiG0fUafX6AUBADBi9uMozS/Drt8OmSM0s3r68yEIa1u34xb0Vcc96MPHUVZQjqQ1tnfcAz55HoGt63fcfaY9icqCMpz+66A5QjOr7jNfhG+ryDq9xnDc8e88A1VhKS6u32+GyMzrng9GwatlVJ1eI1Rf3+0mPQd1USkyNu41R2hm1Xr6K/BoEVO3F1X/Pm/+5nCoi0qQvXmPGSIzr+jJE+DarFHdXlR9viPHjYa2uARXt9reFDSv0e9DHtOibi+qPm7PYW9DX1qEij2bzBCZeckHfQ1pSB37pghV/84VD8yCurwAuhO/myEyskWS6t+BRKZit0n+q6++iieeeAILFiy4ISEXBAGjR4/Gq6++isTExNu+z8yZMzFjxowa2xxknlA4eJs85obMP9Qb4U0C6/16T183E0ZjOb6hXghpHFDv17v7upowGsvxDPaCf2z9j9vVxzaP2y3ICz4x9f937mSjx+0S5A3P6KB6v97Ryzavb+cgb7hHBdf79UobPW7HQF+4RobU+/UKL3cTRmM5ygA/OIWH1fv1Dp4eJozGcmQ+gZAH1+1m1vWkbl4mjMZyJB6hkPrW8abO9Vx8TBcM2T6OypOJSQTDsIGdcXJywpEjR9C0adObPn/mzBm0a9cOFRUVt32fm43kB/q1tehIfmxsJLKyclFeXoHPv/wAL418Fv37Pot//9mHZs0a4fz5FGi1WrPH0Ul2v9k/o7YCI3zw6cYJCIzwwZqFO/D5hBVm+yxfucJs711X/hHemPbXq/AP98Gmb//Fd2+ar3FRpIv1VKt4hXlj9Kqx8A7zwZ5l/2L1O7+Z7bP8Hc1/LdWWR6gPnvp5HDxCfXDkx53YMv1Xs32Wj1JttveuK9cQXzywbCLcQnxxevl2JH643Gyf5a6wnuN2DvZFj8WT4BLsh+SVW5A080ezfZaL3HqO2ynYD53mvwfnYD+krfobp2abrzGZt0uJ2d67rpSBAWj22f9BGRiA3NXrkPr5ArN9VmhIltneu65kfsHwfWcRHPyCUZrwK4qWzTLbZ3k3Tjfbe9eVxDMcimFrIPUMh/bAd9BseNtsn6WIKTfbe99M6lUH+Lvp4KwQMH29F3497Iplz11Gp0gVzl92QKSPFnKZ+eOQDbXscZuSem/ber1O0TnJpHGQ/bDbOfmBgYHYv//W5Z379+9HQMCdRxKVSiXc3d1rPCyd4G/Z9itWr10CFxfnGs91imuHbTtX4edfvrJYPNYgOMoXn22eiMAIH/wxf7tZE3xrEhDpixnrXoN/uA82Ltpp1gTfmvhE+OCV31+Dd5gPdi35x6wJvjXxDPfF07+8Do9QHxz+YYdZE3xr4hbmhwE/vAG3EF+c+nmbWRN8a+IS6o+e302pSvB/STBrgm9NnEP8EbdwKpyD/ZC6crNZE3xrogwORLPPZ0IZGICcP/4ya4JvTWT+ofB999uqBH/zCrMm+NZE4hUJxfC1VQn+/m/NmuBbWupVBwxd5o+Xf/FFmbrm38dJlxR4dmkAXv/NF/Y5pGg6EkFfr4c5pKamYsSIEYiKioKTkxNiYmIwbdo0qNXWc3OY7sxuy/XfeOMNjBo1CocOHULv3r2NCX1ubi62bt2Kb7/9Fp988onIUd5ZZmYOTpw4g1733Ys1fy1FRnomACAurh0mvjka7u5u2Lql4SwrBgBTvnsRAWHe+P2bbfjqzYaR+ADAa4ueg2+YNzYs2IGlk/4QOxyLeebL5+AV4oV/F+/E2mkN57gHzh0G92BvHFq2Hds+aBg3NgCgx8cj4Brkg5M/bsG+mSvFDsdiOn30MpyDfHB++d84OvtnscOxmNbvj4FToC9SV2zE6bk/iB2OxcS88waUAf7I+W0t0r5aJHY4FuP9vw/h4BuE0k3LUfSj9f8NZiqKR+dD6hEK7b6F0Gx6R+xwTCrAXYfGARrsTXHEy8v9EORRVQ2XdEmBb3e7o0wtxb3RlWArK9tx5swZ6PV6LFy4ELGxsThx4gRGjhyJsrIym8idqIrdlusDwMqVK/Hpp5/i0KFD0Omq5rrIZDJ06NABEyZMwJNPPlmv93VxrGNDobvk6KjEr78tRO8+NbuK6/V6jB83DYu/tcxIl7WU6wdH+6HPk/fgh1mWWVvYWsr1A6N80fWJjvhttmUaFFlLub5PpC/aDeqALZ9ttsjnWUu5vmeEH5o91BGJX220yOdZS7m+W7gfYgbGIWn+Oot8nrWU67uE+SP8gXicXvSnZT7PSsr1nUMDENz/XiQvtswNPGsp11eGBMG3dw9k/mCZSjRrKdeXBYTBuUt/lKz+1iKfZy3l+hKvKMhaPQbtP5ZJkCxdrl+pkWDsr77Yc9GxxnYJBLz3QAGe7lhmkThsuVxfs7uOzSurye89aeJIbm7OnDmYP38+Ll68aJHPo7tn10m+gUajQV5eHgDA19cXcrn8rt7P0kk+ACiVCqxctRD3961aNk2v1+P116biu8W/WCwGa0nyLc1aknxLs5Yk39KsJcm3NGtJ8i3NWpJ8S7OWJN/SrCXJtzRrSfItzVqSfEuzdJIPACot8Oqvvth1wQlAdYI/oABPd7BMgg/YeJL/b7N6vU7fKemG3mFKpRJKpdIUYRm9++672LRpEw4etL0Vfhoqu52Tfz25XI6goCAEBQXddYIvFpVKjaeeeBmbN+2AXq/Ha6++Z9EEn4iIiIjoZpQOwJdP5qFbbAUkEDBtoGUTfJun19frMXPmTHh4eNR4zJw506ShJScn48svv8TLL79s0vcl82oQI/mmJsZIvoFUKoW7uysKC4st/tkcyW9YOJLfsHAkv2HhSH7DwpH8hkWMkXwDnR4oVUng4WT59MKWR/K122Pr9Tpdl5O1HsmfNGkSPv7449u+3+nTp2usTJaZmYkePXqgZ8+eWLx4cb1iJHHYbeM9e6XX60VJ8ImIiIiIbkcmhSgJvs3T169Tfl1K8ydOnIjhw4ffdp/o6Gjj91lZWejVqxe6dOmCRYsaToNQe8Ekn4iIiIiISCz1TPLrws/PD35+frXaNzMzE7169UKHDh2wdOlSSKUNYoa3XWGST0REREREJBYLJPm1lZmZiZ49eyIiIgKffPIJrly5YnwuMDBQxMioLpjkExERERERiUWvEzsCo4SEBCQnJyM5ORmhoaE1nmMrN9vB2gsiIiIiIiKRSPT6ej3MYfjw4RAE4aYPsh0cySciIiIiIhKLFZXrk31gkk9ERERERCQWJvlkYizXJyIiIiIiIrITHMknIiIiIiISC0fyycSY5BMREREREYlFz6Z2ZFpM8omIiIiIiMTCkXwyMSb5REREREREYmGSTybGJJ+IiIiIiEgsLNcnE2OST0REREREJBaBI/lkWkzyiYiIiIiIxMKRfDIxJvlERERERERiYZJPJsYkn4iIiIiISCxM8snEmOQTERERERGJhFPyydSkYgdARERERERERKbBkXwiIiIiIiKxsFyfTIxJPhERERERkVhYrk8mxiSfiIiIiIhILEzyycSY5BMREREREYmF1fpkYkzyiYiIiIiIRCLoJWKHQHaGST4REREREZFYWK5PJsYkn4iIiIiISCwcyScTY5JPREREREQkEpbrk6kxya8HX3mM2CGI4oRwSOwQROGrjRA7BFHsLLokdgii6FHWSewQRBHk5Cx2CKIIc1aIHYIoHGUNszZUXuIudgiiyCzyFjsEUQxsc17sEEShj4oSOwRRyMQO4G4wyScTY5JPREREREQkFoFJPpkWk3wiIiIiIiKRsFyfTE0qdgBEREREREREZBocySciIiIiIhKLnuOuZFpM8omIiIiIiMTCcn0yMSb5REREREREIhHYeI9MjLUhREREREREYtFL6/cwM5VKhbZt20IikSApKcnsn0emwySfiIiIiIhIJIJeUq+Hub311lsIDg42++eQ6THJJyIiIiIiEoteUr+HGW3cuBF///03PvnkE7N+DpkH5+QTERERERGJpL5z8lUqFVQqVY1tSqUSSqXyruLJzc3FyJEjsWbNGjg7O9/Ve5E4OJJPREREREQklnrOyZ85cyY8PDxqPGbOnHlXoQiCgOHDh2P06NHo2LGjiQ6QLI0j+URERERERCKp7/z6yZMnY8KECTW23WoUf9KkSfj4449v+36nT5/G33//jZKSEkyePLleMZF1YJJPREREREQkkvqW69elNH/ixIkYPnz4bfeJjo7Gtm3bkJiYeMP7duzYEUOGDMH3339fr1jJspjkExERERERicUCy+H5+fnBz8/vjvt98cUX+PDDD40/Z2VloV+/fli5ciXi4uLMGSKZEJN8IiIiIiIiQnh4eI2fXV1dAQAxMTEIDQ0VIySqByb5REREREREIrHEmvfUsDDJJyIiIiIiEkl95+RbQmRkJARBEDsMqiMm+URERERERGKxwJx8aliY5BMREREREYmE5fpkakzyiYiIiIiIRGLN5fpkm5jkExERERERiYXl+mRiTPKJiIiIiIhEwnJ9MjUm+URERERERCJhuT6ZGpN8IiIiIiIikXAkn0yNE0DIJjg4yODv7yN2GBbn4CCDr7+n2GFYXNX59hY7DIuTOUjh6e8mdhgWJ3WQws2v4R03NSxSBymcfN3FDsPiJDIppAo5IGES0xBodQJUGgF6PddVrwtBkNbrQXQr/NdBVs/RUYkVq7/AyYub8NLoJ8UOx2KUjgosWv0O/r24GENGPyB2OBZTdb4/w4mLGzBi9BNih2MxCkc5pvz2Cr499xH6j+oudjgWI3eU45WfR+OjYx+i+4vdxA6HyCxkSjkGLHoNw3bNQcuhvcQOx6LaTHoeg/Z9B9/2TcQOhSzgo5/16PCyDgfPMcknEhPL9cmqOTkp8fNvn6Jbj3sAADM/eRNSqRSLvlkhcmTm5eikwPzfJqNzj1YAgHc/GQGpVIIfv9kgcmTm5eSkxE+/zUW3Hh0BADM/mQipVIJvv/lV5MjMS+Ekx+SVL6Nl98YAgBGzH4dUKsGGBTtFjsy85E5yvPzDKDTuWnXcj3/0OCRSKXYutu/jpobFwVGOBxaMRUjnpgCAru8+DYlEguM/bhM5MiKyGizXJxNjkk9Wy9nZEct//wz3dusAvV4PqVQKvV6Pj2ZPhAQSLPzmF7FDNAsnZyUW/D4Fnbq1qHHcU2a/CAkk+OGb9WKHaBbOzo74+fd5uLdb+/+c7wmQQIJF36wUO0SzUDorMPnXl9Gia6Max/3CrMcAiQQb5u8QO0SzUDgp8PJPo9CoS83jfuyDwZBIgB3fMtEn2+fgpMCAhWMR3KkJBL0eEqkUgl6Pe995CpBIcPyHrWKHSERWgI33yNRYrk9WycXFCStWf457u3XAvzsPYNWKjQCAGe9+icKCYnw4ewJGj31W5ChNz9nFEYtWv4NO3Vpg787j+GvFvwCAT979CUUFpZg8+wUMG/ugyFGanouLE35Z/Snu7dYe/+48iN9WbAIAvP/uV9XnezxGj31G5ChNz9FFgSm/jUaLro1w4p9z+PfXgwCAn6auRWlhOV6YORgPjrG/0l6FswKjl7+MRl0a4dyuczj4e9Vxr/1gLcoLyzH4/cHo9XJPcYMkuksOzkoMWPQagjs1QebeMzi3dh8AYO8nf0BVVIZ7pzyJ1sP7iBwlEVkDQS+p14PoVpjk2zAPLzc8OLiH2GGYhX+AD6JjwrFz+34MeXw8KioqAQBJR07h8YfHorCgGPfEtRI5StPzDfBEREwQErcfwyuPz0RFhQoAcOLIBYx4+AMUFZSibZz9zWusOt9h+Gf7AQx9fOJ15/sMnnj4NRQWFKNjXEuRozQ9T393BEX74diOs5j51EKoytUAgAtJ6fhg0NcoLSxH43sixQ3SDNz93eEX5Yez/5zFwucXQV2hAQCkH83A109/g/LCckR2iBQ3SAtz9HBGk4HtxQ7D4pQezmg0oIPYYZiFs687PCL8cWnPaWwc/RW0lVXX95UTaVg34nOoisoQ0DZa5CjJIhy9IG06WOwoyIqx8R6ZGsv1bdii5dPQqUtLeHm748fFf4kdjkmlXLyEAb1H4HLuVVRWqmo8d/TIafTr9QLSUjJFis580i/m4Jne7yAvtxCq6j8IDU4euYCne01GRkquSNGZT8rFSxjYeyQu5+bf5HyfQf9eI5CWkiVSdOaTk5KHd/t9isLcEqgrNTWeu5iUgSm95yI39apI0ZlPXmoePn3oM5RcKYHmP8edcTQDcwfOw9U0+zvu2xk0fxRC74mBk6cLkn7+V+xwLGbg1y8juGMsHD1dcHz5P2KHY1LF6Vew5pmPUZ5XDJ2q5r/zKyfS8MdTs1CckSdSdGRJ8keXQxLaBVpHb+iTFosdDlkhjsqTqfEWkA2bM2MJykor8OGnr2LYqIfFDsfk0tOybkj4DC4mp0On01k4IsvITLt8Q4JvkJqcDZ1Ob+GILCM9Lfs25zvDbs/35bT8GxJ8g+wLV6C30/Odn5F/Q4JvcOWi/R73rfw7dy3UZSrc//7TaPecfVZo3UzivD+hKVeh5/Rn0Hqo/R13SebVGxJ8g6LUyxAa2L/zhkr7zwxAXQp5308hbTdK7HDICgmCpF4Polthkm/DDu49hecfnYLiojK8P3cshr/8iNghERFRPWQeuojfXvgaqpIK9Jn+JNo9b38J781kH76IP1/8EqqSCvSY+jRaP9dT7JCITE7I3AvNqkchqIogv38upO1fFjsksjJM8snUGnS5fkZGBqZNm4YlS5bcch+VSgWVqubooiDoIZGY5/7IvIVvok3HpnV6jaCvGgmY8ckYFOQX489V280RGhER1cGAT55HYOuIOr1G0FetLd1n2pOoLCjD6b8OmiM0s7p/9jAEtI6s02sMx93jvadQWVCGc+sOmCEyItNxGLAQkqCOdXuRUPX3mrzPJ9BU5EN/epUZIiNbxHJ9MrUGneTn5+fj+++/v22SP3PmTMyYMaPGNnd5NDyVMWaJKTjMH7GNw+r9em9fDxNGQ0RE9eUW5AWfmMB6v97Jx9WE0ViOa5A3vKLv4ri9bfO4qWGRuIdB6tO4/q939jVhNGTr2ESPTM2uk/y1a9fe9vmLFy/e8T0mT56MCRMm1NjWMth8HVKfHvBmnfYPiwjEL+tnIywiED8sWoul89eYJzAiIqqTlUM+r9P+HqE+eOrncfAI9cGRH3fi8LId5gnMzFY/92md9ncP9cGjP4yHe6gPjv28E0d/YDWarXMND0TF5XzobtJfxi06BKXpORC0tt1nRbNiQN1e4BEBxdPrIfGIgO7wIugOzTdPYCJIzRHg7wU4K28cjU7OFBARAMgdOFJ9OxzJJ1Oz6yR/0KBBkEgkEAThlvtIJLe/qJRKJZRK5X9eYx1328KjgrBi/RyEhPlj2YI1mPbmN2KHRERE9eAZ7ounfh4H92BvHP5hB7bOaBhlvO5hvhj843i4BXvj6I/b8c8Hv4odEt0l1/BAdF/6LkpTs7B77Nwaz3m3jsW9X7+JKwdPY+/4z8QJUAyeUVUJvnsYdIcWQLu1bgM61iw1R8DzM3WICgLmvy6r8VxSsoCX5+nQqakEX7wqvePf3A0Z59eTqVlHtmomQUFB+P/27js8qjJx+/g9kzIpJDFAqpJA6EhZimIApb6wLCLoig2plpUFBVF+EEGDBQKi2LCuLrFhBxUEEQHZZUWBQGhKkxIEAighIYQEyJz3DxbcSE08M08y+X72Ote1mZK5j0fk3PM85zkzZ86U2+0+67Zq1SrTEf+Q514frUtrROufL82i4ANABdbj6QEKj6+qjPTFlabgS1LXpwYpLL6qMt9cRMH3EUf3H1Tell2q3qKB2r44Sv4hQZKkqs1OFvyAKsHav2yd4ZTeFdDjdTnCa+jEypd8quBLUkykVO8yhzI2S3+bWqyCwpOPr/np5M9HCqU2lzso+ICX+fRIfsuWLZWRkaFevc6+6vyFRvnLuxF3PalefTrq+cnvmo4CAPgDvnjwLTXs2UrLps0zHcWrFoxKV72eV2jFi3NNR4FNiguP6dvhU5X8zAjFJDeRmp+8br3xvTfJcru1emK6tn+0yHBK7zr+xV3ya9RHxd9ONh3FdsEuh6YNd+reF9xatsHS6q0nz6uf+8Qth0Ma18+pWzr69JiiLRjJh918+k/dqFGj1KZNm3M+X6dOHS1eXHGv/du5bQ8FHwB8wKGdBypdwZek3KwDFHwf5C46rmUjntW+/6w9/Zjldisz7c1KV/AlSYe2+WTBPyUo0KFp9znVtvFvRdXhkMbdTsG/WJbbUaYNOBef/pN39dVX689//vM5nw8NDVX79pXjXsQAAADe4j52XMtGPqfspWtOjuBPSNf2jyvuwArOzxVw8rr7q5s45HBIj/Rz6mYK/kU7dd/70m7AuTisijxf3ZDEsK6mIxhRYOWYjmBEdZXuPte+4lf9bDqCEe39rzQdwYi44Mp5slAj5ITpCEYE+blNRzAiwFk59zs6+Ki5D3c6FBAarOOHC7z+0T1uneX1zywPnG0TjH12sdtS/lEpItT7f6cEtN3g9c+0y7Yb2pbpfUkz/2NzEvgKn74mHwAAAAa5LSMFH2b4OR2KCDWdouJxMyoPm1HyAQAAAMAQrq+H3Sj5AAAAAGAI19fDbpR8AAAAADCEkg+7sewlAAAAABhSHlfX/+KLL9S6dWsFBwcrMjJSvXv39ujnwV6M5AMAAACAIW6rfI27fvLJJ7rrrrs0ceJEderUSSdOnND69etNx0IpUPIBAAAAwJDytPDeiRMnNHz4cE2ZMkV33HHH6ccbNWpkMBVKq3x9bQQAAAAAuKCioiLl5eWV2IqKiv7Q71y1apV2794tp9Op5s2bKy4uTt27d2ckv4Kh5AMAAACAIWW9Jj8tLU0REREltrS0tD+UZdu2bZKk8ePHa9y4cZozZ44iIyPVoUMHHTx40I7dhRdQ8gEAAADAkLKW/JSUFOXm5pbYUlJSzvoZY8aMkcPhOO+2ceNGud1uSdLYsWP117/+VS1bttT06dPlcDj00UcfefMfC/4ArskHAAAAAEPcZVwp3+VyyeVyXdRrH3jgAQ0cOPC8r0lKStLevXsllbwG3+VyKSkpSVlZWWXKCe+j5AMAAACAIZ6+HZ4kRUVFKSoq6oKva9mypVwulzZt2qR27dpJko4fP64dO3YoMTHR0zFhE0o+AAAAABjijZJ/scLDw3XPPfcoNTVVNWrUUGJioqZMmSJJ6tOnj+F0uFiUfAAAAAAwpKzT9T1lypQp8vf3V79+/XT06FG1bt1aixYtUmRkpOlouEiUfAAAAAAwpDyN5EtSQECAnnrqKT311FOmo6CMKPkAAAAAYEh5K/mo+Cj5AAAAAGBIeZuuj4qPkg8AAAAAhjCSD7s5TQcAAAAAAAD2YCQfAAAAAAxhJB92o+QDAAAAgCFckw+7UfIBAAAAwBBG8mE3Sj4AAAAAGMJIPuxGyQcAAAAAQyxR8mEvSj4AAAAAGMJ0fdiNkg8AAAAAhjBdH3aj5AMAAACAIYzkw26U/DLILlxvOoIRx04cMB3BiPyAfaYjGBHnamI6ghENwk0nMKNbwk7TEYw4ejzQdAQjOKGsXBwOy3QEI5zJl5mOYERRrZamIxgRYDrAH8BIPuxGyQcAAAAAQ/jiFXaj5AMAAACAIW5W14fNnKYDAAAAAAAAezCSDwAAAACGMF0fdqPkAwAAAIAhLLwHu1HyAQAAAMAQRvJhN0o+AAAAABjiNh0APoeSDwAAAACGMJIPu1HyAQAAAMAQrsmH3Sj5AAAAAGCIJUo+7EXJBwAAAABDGMmH3Sj5AAAAAGCI2zKdAL6Gkg8AAAAAhjBdH3aj5AMAAACAIUzXh92cpgMAAAAAAAB7MJIPAAAAAIZYXJMPm1HyAQAAAMAQN9fkw2ZM1wcAAAAAQyzLUabNUzZv3qxevXqpevXqCg8PV7t27bR48WKPfR7sR8kHAAAAAEPclqNMm6dce+21OnHihBYtWqSMjAw1a9ZM1157rbKzsz32mbAXJR8AAAAADLHKuHnCL7/8oi1btmjMmDFq2rSp6tatq0mTJqmgoEDr16/30KfCblyTDwAAAACGlHVUvqioSEVFRSUec7lccrlcZc5SrVo11a9fX2+99ZZatGghl8ulV199VdHR0WrZsmWZfy+8i5F8AAAAADDEXcYtLS1NERERJba0tLQ/lMXhcOjrr7/W6tWrFRYWpqCgIE2dOlVffvmlIiMj/9DvhvdQ8gEAAADAkLIuvJeSkqLc3NwSW0pKylk/Y8yYMXI4HOfdNm7cKMuyNHToUEVHR+vf//63li9frt69e6tnz57au3evl//JoKyYrg8AAAAAhpR1un5ppuY/8MADGjhw4Hlfk5SUpEWLFmnOnDnKyclReHi4JOmll17SggUL9Oabb2rMmDFlygrvouRXMP7+/qpWLVL79h0wHQVeUFmPt7+/ny6pGq5f9ueYjuJVTn+nQiJDlX/gsOko8AKHn58CIqro2MFc01HgBQ4/PwVcUkXHfuV4w3edKLZUXGwpwN8hp5N7v18sTy2i97+ioqIUFRV1wdcVFBRIkpzOkhO+nU6n3G63R7LBfkzXr0CCgoI0e867yvp5jf4+dLDpOPCwoCCXPpv9lnbsytCQvw80HcdrXEGBmj7zMS3/6R31/1tP03G8xt8VoP5vDdHojAlqPfAa03HgYU5XgJo/m6L28/6hGn3+bDoOPMzpClCL51LUYd5rqnETxxu+68nndqhNtxVatZYvqyuq5ORkRUZGasCAAVqzZo02b96sUaNGafv27erRo4fpeLhIlPwKIjg4WJ9+/pY6db5akvTMs09o2L13GE4FTwkODtKsz9LVqXM7SdLUZx/T0GG+/8VOULBLb3w8Xm07/kmSNP6pezRwyHVmQ3lBQFCA+qX/TbXb1ZckXfvYjbpqcHvDqeApTlegmk9NUbUrm0qSGjw4WDVu7m44FTzF6QpUi2fGqNqVTSRJDR8cpASON4D/ceq+96XdPKF69er68ssvlZ+fr06dOqlVq1ZaunSpPvvsMzVr1swjnwn7MV2/AggJCdann7+t9u3byO12n54u8/TUx+VwOPTC86+bjggbhYQEa9Zn6bqmfXKJ4/3U1PFyOBya9sIbpiN6RHDIyYJ/1dVNS+z3I0/+TQ6HQ9Nf+sx0RI8ICA5Uv/S/qVZy3RL73WP8X+VwOLTsjW9MR4SNnEEuNZ86RlVbXi7L7ZbD6ZTldqvByEFyOBzKen+u6YiwkV+QS82fGX3m8X5goMTxBvBf5W0SfKtWrTR//nzTMfAHMJJfzoWGhujzOe+qffs2Wrx4qWbM+ESS9NCYJ5STc0hPPf2Yho+423BK2CU0NESfzX5L17RP1jeL/6P3ZsySJI1NmaicnFxNeTpV9w2/03BK+4WEBmn6zMd01dVN9e2SNfr0/cWSpEkPT1duTr4enny37hjW22xIDwgMCVT/t+5RreS62vafzVo7a6Uk6auJn+toboH+knqD2tzZ0XBK2MUv2KUWz6aoasvLdXDleu398t+SpC3T3tXxvHzVv3+gEm5lKqSv8At2qcVz/3u8l0qSNr9w8ng3GDlAibdxvAGUfXV94Fwo+eVcbGy06tSppUUL/63rew3Q0YKjkqSMjDX6S/dblJNzSK1btzSc0l7BwcHq37+f6RhGxMRGqXadWlq0cKlu6D1IBaeP91pd272vcnJy1foq3zrekhQVE6mateP1n8WZurPPoyo8WiRJWrdqi/r3GqvcnHw1v7Kh4ZT2qxIVrmq1ovTT0k16Z9CrOnb0mCRp99ospfd9UUdzC1SjZU2zIb3MP6yKqndqazqGRwRWu0QhNeL06/K1Wj1yktyFJ4933o8/adW9T+h4Xr4uaVLPcErv8g8PVUyXZNMxPOLk8Y7Vr8vXadX9k1VcePK/a3k/blPGvRN0PC9fET52vJ2uQMX9hUuNfi8339K85d5YWg0VlbuMG3AuTNcv5376aYc6XHOdsrMPqLCwsMRzqzLW6uq212rbtp2G0tkvJCREc+Z8po4dO8jpdCo9/U3Tkbxq20871bH99dqXvV+F/z0hPGXVqrW6pt112r4ty1A6z9m5ba9u7PKgDuzLUdF/i88p61Zv1Q2d7lfW9mxD6Tzn4M5f9Nr1zyh//2GdKDpe4rk9a3fp1eueVk7Wr4bSmdFw4hiFN2sk/4hwZc+aZzqOrY7+vE/L7xynYwcPyf274523cZuWDx6ro3v2GUpnxp+efFCRf2qgjRFh2vXJV6bj2Ork8X5YRb+e5Xj/uE3fDx6no7t953ifvBRltKq2bCyH06E9c74xHancGP6SpYwtUu4R6ZaOjL7iTIzKw26M5FcAO3bsOqPgn7JlyzYVFxd7OZFnhISE6IsvPlfHjh20ZMm/9OGHH5mOZMTOHbvOKPinbN2y3WeO9+/9vHPfGQX/lO1b96i42De/sz606+AZBf+UX7cfkNtH9/tcdrz2joqPFqrOA39T3A1/MR3HdoV7D5xR+E4p2LVXViU73ltfel/FBYVqOPoO1ejTzXQc2x3dc57jneU7x/u3tSYaK2fVD8r+epnpSOXKfdc7FOKSnnjX0oxFjOjjTG6rbBtwLpR8lAuhoaGaO3e2OnRor0WLFqt792tP36cTQOVxeN1GbRj5qE7kH1HtkXcr7q9cs+zLDq3dpIzhE3U8v0ANRw3m9nIVkF+wSy2e+W3tgVUjJsp9ji+qK6sWdR169X6HqgRLE2dYench7QwlWWXcgHPx+en6R48eVUZGhqpWrapGjRqVeK6wsFAffvih+vfvf873FxUVqaio5F9WlmXJ4WBajZ1mzvxI7dufvDd4UlItrVq1vFTvT0kZp08/9c3V14GKrt644arSsG7p3mSdPH2pff9dOpF3WAcW/MsDyeAJjccPVUSj2qV7k/vkiHbDBwfpeO5hZc//jweSwROaTX5QkS1Onl8Fx0frqrcml+r9W16aoQNLVngimkelvOHW+u2le4/zv6eOae9ZuqSK1KM155I4yVO3w0Pl5dMlf/PmzeratauysrLkcDjUrl07vf/++4qLi5Mk5ebmatCgQect+WlpaXr00UdLPOZ0VJG/X5hHs1c2UVFRp/9/zZo1S/3+iIgIG9MAsJMrJkohiZeV+f0Bl4TbmAaeFhRTTaE1Ly3z+wM53hXK//75DI6PLvX7/auE2BnHa/b+Kv2RpWIOHrYvCyo+37hwB+WJT5f80aNHq3Hjxlq5cqUOHTqkESNGqG3btvrmm2+UkJBwUb8jJSVFI0eOLPFY9ar1PRG3UuvZs7cWL16gunXr6p//TNedd94ty2IiEuAL1t07rlSvd8VFq8nzTygoLlp7Zs7Vno/meCgZPGHlkMdK9frg+Ci1eukRBcdHK+uj+cr6wLcWXPR1mQ9OVquXUhVSI067Zy/WDxNeOT0Tx5el/1/prnj9+YClwU9Z2vOrdEtH6fbOHgpmwM5dRxVdPVDBwX5nPPfT9gIl1AhSgD9XCJ8PC+/Bbj79J+7bb79VWlqaqlevrjp16mj27Nnq1q2brr76am3btu2ifofL5VJ4eHiJjan69tu9e7c6dOiizZs3a/DggZo+/Q3+OQOVUFB8rJpMm3Cy4H/8hbZNfc10JHhQ8KUxavXK+JMF/8MvtXHKP01HQikV7T+olUPG60jWHl3as6Muf/jvEn9/l5C139LAKScL/m2dpHF9nT5zjrNz11Hdcd8PunfMJhUcLbkw8NoNhzVo2AaNTt3CwM0FcAs92M2nS/7Ro0fl7//bZAWHw6GXX35ZPXv2VPv27bV582aD6fB7e/bsUYcOXbRp0yYNGNBPd911p+lIALys3iMjFBQTpT0fzda2Z/9hOg48rMljwxQcW10735+rjU9NNx0HZVR0IEcZQx7VkZ17FN+jvS7t7UPD1DZIed1S9kGpb2fpodt869Q7OipQdZNCtHrtYQ37v406UnCy6K/dcOpnt65qFeEzX2oAFYVPT9dv0KCBVq5cqYYNG5Z4fNq0aZKk6667zkQsnMfevXvVoUMX3XffML3++hum4wDwss2PP6uo/3eNdqV/aDoKvGBd6jTFdWunbW98YjoK/qCiX3K0csh4JdzcXbs/W2g6TrmSdodDXyyXhvT0vaIbHOSnZybW18hxm/T9yjytWZ8vSXrx9Z/lcEhjRtRUn14xhlOWf0x0gN186+vE37n++uv13nvvnfW5adOm6dZbb2X6UDmUnZ2thx4aJ7ebiUhAZVO4O5uCX4kc/XkfBd+HHPv1kLa+9B438P6dhBiHTxb8U4JcTj0zob6Sr/htEWQKfum45SjTBpyLT5f8lJQUzZ0795zPv/TSSxRJAAAA4A9wBTr19BP11LZ1hBwO6aH7a+nG6yj4F8ttlW0DzsVhMZRdaq6AeNMRjDh24oDpCEYEBcSZjmBEnKuJ6QhG9I0s5f29fUS3hCzTEYw4ejzQdAQjWMm5cnE4KuepXoen1pmOYERR7SuMfXZxsaUjBcUKD/P+FcFV4t/y+mfaZXzivWV7384XbE4CX+HT1+QDAAAA8A4/P4eRgl/RMfUeduNPIQAAAAAYwrxq2I2SDwAAAACGsEIY7EbJBwAAAABDWEQPdqPkAwAAAIAhdHzYjZIPAAAAAIa4ueMJbEbJBwAAAABDWHgPdnOaDgAAAAAAAOzBSD4AAAAAGMLq+rAbJR8AAAAADGG6PuxGyQcAAAAAQxjJh90o+QAAAABgiJuRfNiMkg8AAAAAhtDxYTdKPgAAAAAYwkg+7EbJBwAAAABDWHgPdnOaDgAAAAAAlZW7jJunTJgwQW3atFFISIguueSSs74mKytLPXr0UEhIiKKjozVq1CidOHHCg6lQGozkAwAAAIAh5W26/rFjx9SnTx8lJyfrjTfeOOP54uJi9ejRQ7Gxsfr222+1d+9e9e/fXwEBAZo4caKBxPg9Sj4AAAAAGFLOOr4effRRSVJ6evpZn//qq6/0ww8/6Ouvv1ZMTIz+9Kc/6fHHH9fo0aM1fvx4BQYGejEtzobp+gAAAABQwRQVFSkvL6/EVlRU5PHPXbZsmZo0aaKYmJjTj3Xr1k15eXnasGGDxz8fF0bJBwAAAABD3FbZtrS0NEVERJTY0tLSPJ43Ozu7RMGXdPrn7Oxsj38+LoySDwAAAACGWFbZtpSUFOXm5pbYUlJSzvoZY8aMkcPhOO+2ceNGL+85PIVr8gEAAADAkLKulO9yueRyuS7qtQ888IAGDhx43tckJSVd1O+KjY3V8uXLSzy2b9++08/BPEo+AAAAABjijdX1o6KiFBUVZcvvSk5O1oQJE7R//35FR0dLkhYsWKDw8HA1atTIls/AH0PJBwAAAABDytvq+llZWTp48KCysrJUXFyszMxMSVKdOnVUpUoVde3aVY0aNVK/fv305JNPKjs7W+PGjdPQoUMvemYBPIuSDwAAAACGeGMkvzQeeeQRvfnmm6d/bt68uSRp8eLF6tChg/z8/DRnzhwNGTJEycnJCg0N1YABA/TYY4+ZiozfoeQDAAAAgCFWOSv56enpSk9PP+9rEhMTNXfuXO8EQqlR8gEAAADAkLIuvAecCyW/DI4X55iOYMQJK910BAAe09p0AACwWS/TAYwINh0ApeYub0P5qPAo+QAAAABgCBUfdqPkAwAAAIAh5W3hPVR8TtMBAAAAAACAPRjJBwAAAABDLCbsw2aUfAAAAAAwhOn6sBslHwAAAAAM4RZ6sBslHwAAAAAMsbiFHmxGyQcAAAAAQxjJh90o+QAAAABgCCP5sBslHwAAAAAMYSQfdqPkAwAAAIAhbkbyYTNKPgAAAAAYYomSD3tR8gEAAADAEKbrw26UfAAAAAAwxM1IPmzmNB0AAAAAAADYg5F8AAAAADCEhfdgN0o+AAAAABjCwnuwGyUfAAAAAAzhmnzYjZIPAAAAAIZQ8mE3Sj4AAAAAGMJ0fdiNkg8AAAAAhjCSD7tR8gEAAADAELfDbToCfAwlHwAAAAAMYSQfdqPkAwAAAIAhlhjJh72cpgOgdPz9/RUTE2M6BgAAAAAbuGWVaQPOhZH8CiQoKEiff/6JunTppPvuG6lp0142HQkAAACV2PLvd2jO7HVatWqXfjmQr4KCYwqt4lJCjUg1aXqpOnWpr+TkWnI4HKajApUGJb+CCA4O1uzZM9WpUwdJ0vPPT5XT6dTzz79oNhgAAAAqnZyDBfq/UTP1n6XbJEkxMWFq3qKGqlRxKT+/SFu27NeMd1doxrsr1LBRrD6ZdbfhxOUXC+/BbpT8CiAkJERz5sxShw7XyO12y+l0yu1269lnn5LD4dBzz00zHREAAACVRF5eoW6/bbq2b/9VSUnV9XBqd7W+qtYZr9uyeb/eTP9O8+ZuMJCy4nCXs2vyJ0yYoC+++EKZmZkKDAzUoUOHSjy/Zs0aTZo0SUuXLtUvv/yimjVr6p577tHw4cPNBMYZuCa/nAsNDdXcuZ+pQ4drtGjRN3rnnfckSaNHj1VOTo6eeWaK7r//PsMpAQAAUFlMeHyetm//VTVqROrd9wedteBLUt160Xpi4nWa/lZ/LyesWNxl/J+nHDt2TH369NGQIUPO+nxGRoaio6P1zjvvaMOGDRo7dqxSUlI0bRoDj+UFI/nlXGxsjOrWra2vv16kXr1u1NSpkyVJK1dmqGvXa/XVV3N01VWtDacEAABAZZCVdVBfzFkvSRqd0lUREcEXfE/Tppd6OlaFVt5W13/00UclSenp6Wd9fvDgwSV+TkpK0rJlyzRz5kwNGzbM0/FwESj55dxPP21T27YdlZ29T4WFhSWey8hYpauuukbbtm03lA4AAACVyZLFW+R2WwqPCFKHjvVMx/EJZb0mv6ioSEVFRSUec7lccrlcdsQqldzcXFWtWtXrn4uzY7p+BbBjx84zCv4pW7ZsVXFxsZcTAQAAoDLasGGvJKlRozg5nayYb4eyTtdPS0tTREREiS0tLc3r+b/99lt98MEHuvtuFlcsLxjJBwAAAHBRcnIKJElVq4ac9fmNG7P1Vvr3Zzz+1xubq2WrBI9mq6gslW3ALiUlRSNHjizx2LlG8ceMGaPJkyef9/f9+OOPatCgQakyrF+/Xr169VJqaqq6du1aqvfCc3y+5P/444/67rvvlJycrAYNGmjjxo167rnnVFRUpNtvv12dOnU67/vPNg3Gsizu9QkAAAD8TvbePH06a80Zj19xZSIl/xzKuoheaabmP/DAAxo4cOB5X5OUlFSqz//hhx/UuXNn3X333Ro3blyp3gvP8umS/+WXX6pXr16qUqWKCgoKNGvWLPXv31/NmjWT2+1W165d9dVXX5236KelpZ1efOI3fpICPJodAAAAKG8iI0+O4B88WHDW5zt0rKcfNj1y+ufBA9/Wd8tYP+p8vHELvaioKEVFRdn2+zZs2KBOnTppwIABmjBhgm2/F/bw6WvyH3vsMY0aNUq//vqrpk+frttuu0133XWXFixYoIULF2rUqFGaNGnSeX9HSkqKcnNzS2w+/t0IAAAAcFaNGsVKkn74Ya/cbstwGt9gqbhMm6dkZWUpMzNTWVlZKi4uVmZmpjIzM5Wfny/p5BT9jh07qmvXrho5cqSys7OVnZ2tAwcOeCwTSsenS/6GDRtOT0u56aabdPjwYd14442nn+/bt6/Wrl173t/hcrkUHh5eYmOqPgAAACqj9h3ryel0KC+3UP9assV0HJ9Q1oX3POWRRx5R8+bNlZqaqvz8fDVv3lzNmzfXypUrJUkff/yxDhw4oHfeeUdxcXGntyuuuMJjmVA6Pl3yJZ0u5E6nU0FBQYqIiDj9XFhY2H9H5gEAAABcSGJiVXX/y+WSpMmTvtLhw2e/AxQqrvT0dFmWdcbWoUMHSdL48ePP+vyOHTuM5sZvfLrk16xZU1u2/PYN47Jly5SQ8NuCH1lZWYqLizMRDQAAAKiQxj3SXQmJVbVzx0Hddst0rVi+46yv2/3zIe3LzvNuuArIkrtMG3AuPn1x+ZAhQ0rcQ75x48Ylnp83b94FV9cHAAAA8JuIiGC9+94gjXpgpr5btl0D+r2l2NhwNWgYo7CwIBUVndDOHQe1efM+WZZUr160GjeONx273HJ78Pp6VE4+XfLvueee8z4/ceJELyUBAAAAfEe1aqH6Z3o/LVu2TV/MXq/Vq3Zp5YosFRYeV0hooC67LFJ9bmqprn9uqKuuqiWnkzWtzoVRedjNYVkWy2KWktMZbDqCEcfdr5uOAAAAAJzBT31NRyizmCptyvS+ffnf2pwEvsKnR/IBAAAAoDxjJB92o+QDAAAAgCGevOc9KidKPgAAAAAY4rYYyYe9KPkAAAAAYAjT9WE3Sj4AAAAAGGJZTNeHvSj5AAAAAGCIm5F82IySDwAAAACGWFyTD5s5TQcAAAAAAAD2YCQfAAAAAAzhFnqwGyUfAAAAAAxhuj7sRskHAAAAAEO4hR7sRskHAAAAAEO4hR7sRskHAAAAAEOYrg+7UfIBAAAAwBCm68NulHwAAAAAMISRfNiNkg8AAAAAhjCSD7tR8gEAAADAEBbeg90o+QAAAABgDCP5sJfTdAAAAAAAAGAPRvIBAAAAwBAW3oPdKPkAAAAAYAgL78FulHwAAAAAMIaSD3tR8gEAAADAFKbrw2aUfAAAAAAwhOn6sBslHwAAAACMoeTDXpR8AAAAADDFskwngI+h5AMAAACAIZYo+bCZhQqjsLDQSk1NtQoLC01H8Sr2m/2uDNhv9rsyYL/Z78qA/a5c+w2URw7LYn5IRZGXl6eIiAjl5uYqPDzcdByvYb/Z78qA/Wa/KwP2m/2uDNjvyrXfQHnkNB0AAAAAAADYg5IPAAAAAICPoOQDAAAAAOAjKPkViMvlUmpqqlwul+koXsV+s9+VAfvNflcG7Df7XRmw35Vrv4HyiIX3AAAAAADwEYzkAwAAAADgIyj5AAAAAAD4CEo+AAAAAAA+gpIPAAAAAICPoOQDAAAAAOAjKPkVyIsvvqiaNWsqKChIrVu31vLly01H8qh//etf6tmzp+Lj4+VwOPTpp5+ajuQVaWlpuuKKKxQWFqbo6Gj17t1bmzZtMh3L415++WU1bdpU4eHhCg8PV3JysubNm2c6ltdNmjRJDodDI0aMMB3Fo8aPHy+Hw1Fia9CggelYXrF7927dfvvtqlatmoKDg9WkSROtXLnSdCyPqlmz5hnH2+FwaOjQoaajeVRxcbEefvhh1apVS8HBwapdu7Yef/xxVYYbGx0+fFgjRoxQYmKigoOD1aZNG61YscJ0LFtd6DzFsiw98sgjiouLU3BwsLp06aItW7aYCWujC+33zJkz1bVrV1WrVk0Oh0OZmZlGcgKVGSW/gvjggw80cuRIpaamatWqVWrWrJm6deum/fv3m47mMUeOHFGzZs304osvmo7iVUuWLNHQoUP13XffacGCBTp+/Li6du2qI0eOmI7mUZdddpkmTZqkjIwMrVy5Up06dVKvXr20YcMG09G8ZsWKFXr11VfVtGlT01G84vLLL9fevXtPb0uXLjUdyeNycnLUtm1bBQQEaN68efrhhx/09NNPKzIy0nQ0j1qxYkWJY71gwQJJUp8+fQwn86zJkyfr5Zdf1rRp0/Tjjz9q8uTJevLJJ/XCCy+YjuZxd955pxYsWKC3335b69atU9euXdWlSxft3r3bdDTbXOg85cknn9Tzzz+vV155Rd9//71CQ0PVrVs3FRYWejmpvS6030eOHFG7du00efJkLycDcJqFCuHKK6+0hg4devrn4uJiKz4+3kpLSzOYynskWbNmzTIdw4j9+/dbkqwlS5aYjuJ1kZGR1uuvv246hlccPnzYqlu3rrVgwQKrffv21vDhw01H8qjU1FSrWbNmpmN43ejRo6127dqZjmHc8OHDrdq1a1tut9t0FI/q0aOHNXjw4BKP3XDDDVbfvn0NJfKOgoICy8/Pz5ozZ06Jx1u0aGGNHTvWUCrP+v15itvttmJjY60pU6acfuzQoUOWy+Wy3nvvPQMJPeN852fbt2+3JFmrV6/2aiYAlsVIfgVw7NgxZWRkqEuXLqcfczqd6tKli5YtW2YwGbwhNzdXklS1alXDSbynuLhY77//vo4cOaLk5GTTcbxi6NCh6tGjR4k/575uy5Ytio+PV1JSkvr27ausrCzTkTzu888/V6tWrdSnTx9FR0erefPm+sc//mE6llcdO3ZM77zzjgYPHiyHw2E6jke1adNGCxcu1ObNmyVJa9as0dKlS9W9e3fDyTzrxIkTKi4uVlBQUInHg4ODK8WMHUnavn27srOzS/w3PSIiQq1bt+bcDYDH+ZsOgAv75ZdfVFxcrJiYmBKPx8TEaOPGjYZSwRvcbrdGjBihtm3bqnHjxqbjeNy6deuUnJyswsJCValSRbNmzVKjRo1Mx/K4999/X6tWrfK561XPp3Xr1kpPT1f9+vW1d+9ePfroo7r66qu1fv16hYWFmY7nMdu2bdPLL7+skSNH6qGHHtKKFSt03333KTAwUAMGDDAdzys+/fRTHTp0SAMHDjQdxePGjBmjvLw8NWjQQH5+fiouLtaECRPUt29f09E8KiwsTMnJyXr88cfVsGFDxcTE6L333tOyZctUp04d0/G8Ijs7W5LOeu526jkA8BRKPlCODR06VOvXr680Ix/169dXZmamcnNz9fHHH2vAgAFasmSJTxf9Xbt2afjw4VqwYMEZo16+7H9HMps2barWrVsrMTFRH374oe644w6DyTzL7XarVatWmjhxoiSpefPmWr9+vV555ZVKU/LfeOMNde/eXfHx8aajeNyHH36od999VzNmzNDll1+uzMxMjRgxQvHx8T5/vN9++20NHjxYl156qfz8/NSiRQvdeuutysjIMB0NAHwe0/UrgOrVq8vPz0/79u0r8fi+ffsUGxtrKBU8bdiwYZozZ44WL16syy67zHQcrwgMDFSdOnXUsmVLpaWlqVmzZnruuedMx/KojIwM7d+/Xy1atJC/v7/8/f21ZMkSPf/88/L391dxcbHpiF5xySWXqF69etq6davpKB4VFxd3xpdWDRs2rBSXKkjSzp079fXXX+vOO+80HcUrRo0apTFjxuiWW25RkyZN1K9fP91///1KS0szHc3jateurSVLlig/P1+7du3S8uXLdfz4cSUlJZmO5hWnzs84dwNgAiW/AggMDFTLli21cOHC04+53W4tXLiw0lyvXJlYlqVhw4Zp1qxZWrRokWrVqmU6kjFut1tFRUWmY3hU586dtW7dOmVmZp7eWrVqpb59+yozM1N+fn6mI3pFfn6+fvrpJ8XFxZmO4lFt27Y945aYmzdvVmJioqFE3jV9+nRFR0erR48epqN4RUFBgZzOkqdafn5+crvdhhJ5X2hoqOLi4pSTk6P58+erV69epiN5Ra1atRQbG1vi3C0vL0/ff/89524API7p+hXEyJEjNWDAALVq1UpXXnmlnn32WR05ckSDBg0yHc1j8vPzS4zqbd++XZmZmapataoSEhIMJvOsoUOHasaMGfrss88UFhZ2+tq9iIgIBQcHG07nOSkpKerevbsSEhJ0+PBhzZgxQ998843mz59vOppHhYWFnbHeQmhoqKpVq+bT6zA8+OCD6tmzpxITE7Vnzx6lpqbKz89Pt956q+loHnX//ferTZs2mjhxom666SYtX75cr732ml577TXT0TzO7XZr+vTpGjBggPz9K8fpR8+ePTVhwgQlJCTo8ssv1+rVqzV16lQNHjzYdDSPmz9/vizLUv369bV161aNGjVKDRo08Knzlgudp4wYMUJPPPGE6tatq1q1aunhhx9WfHy8evfubS60DS603wcPHlRWVpb27NkjSae/2IyNjWUWA+Atppf3x8V74YUXrISEBCswMNC68sorre+++850JI9avHixJemMbcCAAaajedTZ9lmSNX36dNPRPGrw4MFWYmKiFRgYaEVFRVmdO3e2vvrqK9OxjKgMt9C7+eabrbi4OCswMNC69NJLrZtvvtnaunWr6VheMXv2bKtx48aWy+WyGjRoYL322mumI3nF/PnzLUnWpk2bTEfxmry8PGv48OFWQkKCFRQUZCUlJVljx461ioqKTEfzuA8++MBKSkqyAgMDrdjYWGvo0KHWoUOHTMey1YXOU9xut/Xwww9bMTExlsvlsjp37uwT//5faL+nT59+1udTU1ON5gYqE4dlWZaXvk8AAAAAAAAexDX5AAAAAAD4CEo+AAAAAAA+gpIPAAAAAICPoOQDAAAAAOAjKPkAAAAAAPgISj4AAAAAAD6Ckg8AAAAAgI+g5AMAAAAA4CMo+QAAAAAA+AhKPgAAAAAAPoKSDwAAAACAj/j/WzN4qmKgCjYAAAAASUVORK5CYII=\n"
},
"metadata": {}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
],
"text/html": [
"\n",
" "
]
},
"metadata": {},
"execution_count": 116
}
],
"source": [
"#@title Sarsa\n",
"# Set for reproducibility, comment out / change seed value for different results\n",
"np.random.seed(42)\n",
"\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 400 # Number of episodes\n",
"n = 1 # Step size for n-step Q-learning\n",
"discount = 0.95 # Discount factor\n",
"alpha = 0.5 # Learning rate\n",
"max_step = 1000 # Maximum steps per episode\n",
"\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.1)\n",
"\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, sarsa, epsilon_greedy)\n",
"value_sarsa, reward_sums_sarsa = results\n",
"\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_sarsa)\n",
"print(f\"\\nSARSA mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"# Plot results\n",
"plot_performance(env, value_sarsa, reward_sums_sarsa)\n",
"\n",
"# Turn on render mode\n",
"env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"create_policy_eval_video(env, greedy_policy, 'SARSA', value_sarsa)"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 733
},
"id": "UYYG8SHNwdVT",
"outputId": "076eecca-87c8-4ad0-8e43-7338b329f34d"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"qlearning mean_reward = -13.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"#@title Q-learning\n",
"# Set for reproducibility, comment out / change seed value for different results\n",
"np.random.seed(42)\n",
"\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 300 # Number of episodes\n",
"n = 1 # Step size for n-step Q-learning\n",
"discount = 0.95 # Discount factor\n",
"alpha = 0.5 # Learning rate\n",
"max_step = 1000 # Maximum steps per episode\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.1)\n",
"\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, n_step_q_learning, epsilon_greedy)\n",
"value_qlearning, reward_sums_qlearning = results\n",
"\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_qlearning)\n",
"print(f\"\\nqlearning mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"# Plot results\n",
"plot_performance(env, value_qlearning, reward_sums_qlearning)\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'qlearning', value_qlearning)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UZheC-WzwbIJ"
},
"source": [
"## Effect of n = 2"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 728
},
"id": "OmTk0M9FH-MT",
"outputId": "afbdeb29-b92b-424b-a1cb-964af4c21233"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"SARSA mean_reward = -17.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"#@title Sarsa\n",
"# Set for reproducibility, comment out / change seed value for different results\n",
"np.random.seed(42)\n",
"\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 300 # Number of episodes\n",
"n = 2 # Step size for n-step Q-learning\n",
"discount = 0.95 # Discount factor\n",
"alpha = 0.2 # Learning rate\n",
"max_step = 1000 # Maximum steps per episode\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.1)\n",
"\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, sarsa, epsilon_greedy)\n",
"value_sarsa, reward_sums_sarsa = results\n",
"\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_sarsa)\n",
"print(f\"\\nSARSA mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"# Plot results\n",
"plot_performance(env, value_sarsa, reward_sums_sarsa)\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'SARSA', value_sarsa)\n"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 728
},
"id": "KZzxsLj3yjJU",
"outputId": "58edcc38-4788-4cd8-af51-6e676188ad0d"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"qlearning mean_reward = -15.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"#@title Q-learning\n",
"# Set for reproducibility, comment out / change seed value for different results\n",
"np.random.seed(42)\n",
"\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 300 # Number of episodes\n",
"n = 2 # Step size for n-step Q-learning\n",
"discount = 0.95 # Discount factor\n",
"alpha = 0.2 # Learning rate\n",
"max_step = 1000 # Maximum steps per episode\n",
"\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.1)\n",
"\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, n_step_q_learning, epsilon_greedy)\n",
"value_qlearning, reward_sums_qlearning = results\n",
"\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_qlearning)\n",
"print(f\"\\nqlearning mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"# Plot results\n",
"plot_performance(env, value_qlearning, reward_sums_qlearning)\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'qlearning', value_qlearning)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "F9WXhttkyhTG"
},
"source": [
"## Effect of n = 5"
]
},
{
"cell_type": "code",
"execution_count": 124,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 732
},
"id": "11yGoBUwIKJ6",
"outputId": "88e01172-207d-43a5-f68d-524d400ae0f0"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"SARSA mean_reward = -19.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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CgwLKhvMZqhTIK4X1k4T2UqPy985KnbFhtuN6mTQoD/X1IoO97uZdBUK+CxHy4S5jvlitj5fuUv3IYM16qDt/uAFVUFhSqr2ZZTcB0rIKlJVfrMz8ImXmFZe9jvk+K79s8q4zEWbzV0RIgKLKbwRI0qpdmSfsLpgcG+pooe/YMErN4+qY0mW+sKRUv2w8qJmr92rOX+mVus02jA5xBP6z64X7VODfkJajy1/5VUUldj11eWsNcUH4Kyqxa2N6jtburWiRz9a6fdknbe2sUDGm9thu/63rhauOl/4h62oVY9aTooO14OELvWauij92Zuiq/y5SoJ9Vvz52oeLCXTfnQFGJXWlZBdpd3mW6oqXVkOEYN988vo4aRIV4zX9fb5ZXVKI1e7K1cleGI/yfrLeQq5TNjWSV1SpFhwQe1/peEerrRQZXqYeVNyLkuxAhH+4wb326bp+2TBaL9PGw83V+cl2zSwK8UnGpvexGQF6xso65AZCRV+RYnplfrMxj3+cVnXbMX3CAn9onRTgC/TkNoxQdWvsm8ykoLtWCDQc0c/VezV23X/nFRwN/k5hQXdaurEt/y/gwrw78BcWluvKVsglOL2wZq3eGnOu28y0utWvLgSP6c3f5hHl7spRbWKLWieUt+w0i1Dox3GtbpsyQX1Sqrs/OVUZesf57U0dd2jbR7JKc4p4Pl+v7P9N0bacGeu5aev/hzKRnF2hN+QSwFU8WOPaRuRWvo4/VPTp5ccVTCSomH660zzHHsVrLg/0xj1HGyRHyXYiQD1c7nFukS178WQePFOqObk305GWtzS4JwN+U2g1l55fdAMjIK1JWeS+BohK7zq4XoVYJnjdzcV5Rieat36/vVu/TvPX7K7UuN4uro8vaJeqydvXULK6OiVW6RsXj8mLqBGrWQz0UwwSnXm/S7A2aMm+zzmkYqS/vucDscs7YzkN56vX8fNkN6ceHepzRUBMAtVN1cii3hYFaxDAMPfnVnzp4pFDN4+ro4b4tzS4JwAn4WS2KCg1UVGigmijU7HKcIiTQX5e1q6fL2tXTkcISzV2Xrpmr92nhhgPavP+IXvppk176aZNaJYTpsnaJuuG8hl7xtI/5G/Zr2qLtkqTnrm1PwPcRt6Q00usLt5ZPiHlYnRpFm13SGXnnt22yG1LPFrEEfADyrGYGwMt9vbLsOdf+VoteHNTBZ8ccATBXHZu/ruxQX2/e2lnL/tlHk65tr4taxSnAz6L1aTl6fvZGXfXaIu3Pce+YTWc7kFOoR2askiQN6dpYF7aMM7kiuEtcWJAGnlNPkvTmz9tMrubMZOYV6bNluyRJw7onm1wNgNqAkA/UEvuy8vXPr9dIkh7s3Vxt6keYXBEAlD154OpODfTOkHO17ImLNfGadmoQFawdh/J069tLlVWF523XRoZh6NHPV+ngkSK1jA/zymem49TuKA/EP/6Vph2Hjn8Chqf4cMlO5RWVqlVCmC5oxhw+AAj5QK1gtxt6ZMZq5RSUqH1SpO7u1dTskgDgOBEhAbquc5I+vKOLYsNsWp+Wo9umLVVe0Zk9pcAM76Xu0PwNBxTob9XLN5xDzykf1CI+TD1bxMowpHd+9czW/MKSUk0vH24yvEcyk5cBkETIB2qF9xfv0K+bDyoowKoXrmvvcRN2AfAtjeqG6v2h5ykiOEB/7MzUne8vV2FJ6el3rCU2pOXo39+vkyQ93r8VY5h9WEX39s+W7VZmXpHJ1VTfNyv3an9OoeLDbbqsXT2zywFQS5AkAJNtOXBEE34o+2NzTP+z1DTW+2auBuB9WiWE693bzlVIoJ9+2XRQD32yUiWlp37ee21QUFyqBz5eoaISu3q1jNXgro3NLgkmuqBZXbVKCFN+cak+XLLT7HKqxTAMvV3eA+G2C5oo0J8/6wGU4acBYKKSUrtGfrZKBcV2dW8eo1vOb2R2SQBQZR0bRumNWzor0M+qH9ak6fEv/1RtfzLvf2at14b0HMXUCdRz17Sne7OPs1gsjtb86Yu2q6ik9t+oqvDLpoNan5aj0EA/3XBeQ7PLAVCLEPIBE722YItW7cpUWJC/Jl7TTlYrf2wC8Czdmsfo5Rs6yGop6/L87+/W1dqgv2DDfr3723ZJ0nPXtFdsGI/Lg3R5+3qKC7Npf06hvlm11+xyquzNX7ZKkgad21ARwQEmVwOgNiHkAyb5c3eWJs/dJEl65so2SowINrkiAKiZfm0S9Z+r20mS3vp1m16Zt9nkio538EihHp6xWlL54/Ja8bg8lAn0tzqGbbz1y9Zae5PqWOv2ZeuXTQdltUi3XdDY7HIA1DKEfMAEBcWlGvHZSpXYDV3aNkFXdmCyHACe7drOSfrnZa0lSZPmbHTM+F0bGIahR2as0sEjhTwuDyd0U5eGCg7w0/q0HP26+aDZ5ZxWRSv+pW0TlRQdYnI1AGobQj5ggud/3KDN+48opo5N/xrYljGhALzC0G5N9EDv5pKkcd+s1Vcr9phcUZljH5c3+YYOPC4Px4kMCdR1nRtIkt78pXY/Ti8tq0Dflg8rqJhPAACORcgH3Cx1yyG9/VvZHxATr2mr6NBAkysCAOcZ0ae5hpR3fR41Y5V++ivd1Ho2ph99XN6Y/q3UKiHc1HpQe93erYksFunnjQe0IS3H7HJOatqi7SouNXRe42i1T4o0uxwAtRAhH3CjnIJiPTxjlQxDuuG8JF3UKt7skgDAqSwWi8Ze1lpXdayvUruhez76Q6lbDplSy98flzeEx+XhFBrVDVXf1gmSysbm10ZHCkv00ZIdkqRhPWjFB3BihHzAjZ7+9i/tycxXUnSwnhjQ2uxyAMAlrFaLJl7dThe3jldRiV13TP9dq3dnur2O/8xar/VpOaobyuPyUDXDejSRJH29cq/25xSYXM3xPvt9l7ILSpQcE6reTB4J4CQI+YCbzF6bphnLd8tikSZd20F1bP5mlwQALuPvZ9WUG85R16Z1lVtUqsHvLNWmdPd1ga70uLxr2/G4PFRJp0bROqdhpIpK7Xpv0Q6zy6mkpNSud8qH+w3t3oTH7gI4KUI+4AYHjxRqzBd/SpKGd0/WeU2iTa4IAFwvKMBPb9zaWe2TIpWRV6xb3l6qXYfzXP65xz4ub3BKI4ZGoVoqJrP7YMkO5ReVmlzNUbPWpml3Rr6iQwN1dccGZpcDoBYj5AMuZhiGnvjyTx3KLVLL+DCNuLiF2SUBgNvUsflr2pBz1SK+jtKyC3Tz20tc2g3aMAw99vlqx+Pyxlx6lss+C96p79kJSooOVmZesT7/Y7fZ5Ugqu67f/LlsnoBbzm/EEyIAnBIhH3Cx//2xRz+uTVeAn0UvDGrPL2YAPicqNFDvD+2ipOhg7TiUp1vfXqqsvGKXfNb7i3do7vr9PC4PNeZntej2C8rG5r/z6zbZ7YbJFUm/b8/Qqt1ZCvS36paURmaXA6CWI+QDLrQ7I0/jv1krSXqoTwudXS/C5IoAwBzx4UH6YGgXxYbZtD4tR7dNW6q8ohKnfsbG9Bz9+zsel4czd13nJIUH+WvbwVz9tM7cx0BK0pvls/1f3bGBYuowvwSAUyPkAy5itxt6ZMZq5RSWqGPDSN3Jo24A+LhGdUP1wdAuiggO0B87M3Xn+8tVWOKcMc8Vj8srLLGrZwsel4czE2rz141dylrM3/plm6m1bD1wxHGjYWi3JqbWAsAzEPIBF5m2aLtStx5ScICfJl3XQf5+/O8GAC0TwjTttnMVEuinXzYd1EOfrFRJqf2Mjztx1gbH4/Kev5bH5eHMDenaWP5Wi5ZuP6xVuzJNq+PtX7fJMKQ+Z8WpWVwd0+oA4DlIHYALbN6fo//MWi9JenzAWWoSE2pyRQBQe5zTMEpv3tpZgX5W/bAmTY9/+acMo+bjnhds2O94tBiPy4OzJEQE6Yr29SQd7S7vboeOFOrz5WWT/93RnR6BAKqGkA84WXGpXSM+XaXCErt6tIjVzV0aml0SANQ6FzSL0cs3nCOrRfps2W79+7t1NQr6PC4PrlQRrH9Yk6bdGa5//OPffbB4pwpL7GpbP0JdePwugCoi5ANO9sq8zfpzT5YiggM08ep2dBkFgJPo1yZBE69pL0l669dtemXe5mrtf+zj8lrE1+FxeXC61vXCdUGzuiq1G3r3t+1u/eyC4lK9l1r2mcN6JPP3BIAqI+QDTrRqV6ZemV/2R+ozA9soISLI5IoAoHa7plMDjb2stSRp0pyNmr5oe5X3/eDYx+Vdfw6Py4NLVLTmf/r7LmUXuObRjyfy5Yo9OpRbpPqRwbq0TYLbPheA5yPkA06SX1SqEZ+tVKnd0GXtEh3j+AAAp3Z7tyZ6sHdzSdK4b9bqyxW7T7vPxvQc/av8cXmj+7XSWYk8Lg+u0atFrJrH1dGRwhJ9snSnWz7Tbjf0Vvk8ALdd0JjJewFUCz8xACf5z6z12nogV3FhNv1rYBuzywEAj/JQn+aOx949PGO15vx18meT//1xebdd0Ng9RcInWSwW3dG97NF17/62XcVOeBrE6czfsF9bDuQqzOavQecmufzzAHgXQj7gBL9tPqhp5V1MJ17TTpEhgeYWBAAexmKxaOxlrXVVx/oqtRu696M/lLrl0Am3PfZxec9dy9wncL0rO9RXTJ1A7csq0Pd/7nP551XM5n9jl4YKCwpw+ecB8C6EfOAMZeUX6+EZqyRJN3VpqF4t40yuCAA8k9Vq0cSr2+ni1vEqKrHrjum/a/XuzErbHPu4vInXtFNcGHOfwPWCAvx0a0pjSWUB/Ewe+Xg6f+7O0uKth+VvtWgIvVQA1AAhHzhD479Zq31ZBWpUN0SPM7MzAJwRfz+rptxwjro2ravcolINfmepNqXnSCp7ZnjF4/JuTWmk3mfxuDy4z83nN1JQgFVr9mRr8dbDLvucilb8y9vXU2JEsMs+B4D38piQ/+9//1tdu3ZVSEiIIiMjT7jNzp07NWDAAIWEhCguLk6PPPKISkpKKm2zYMECdezYUTabTc2aNdO0adNcXzy81g9/7tMXK/bIapEmXdteoTZ/s0sCAI8XFOCnN27trPZJkcrIK9Ytby/VrsN5evSYx+VxUxXuFh0aqKs7NpAkx6R4zrYnM1/flQ8HqJgHAACqy2NCflFRka699lrdfffdJ1xfWlqqAQMGqKioSIsWLdL06dM1bdo0jR071rHNtm3bNGDAAF144YVauXKlHnroId1xxx368ccf3XUa8CL7cwr0+Jd/SpLu7NlUnRtHm1wRAHiPOjZ/TRtyrlrE11FadoEuffmXssfl+fG4PJhnaLcmslikuev3a/P+I04//ru/blOp3VDXpnV1dr0Ipx8fgG/wmJA/fvx4jRgxQm3btj3h+tmzZ+uvv/7SBx98oA4dOqh///565pln9Oqrr6qoqEiSNHXqVDVp0kSTJk3SWWedpfvuu0/XXHONXnzxRXeeCryAYRh6/Is/lZFXrLMSwzWiTwuzSwIArxMVGqj3h3ZRUnSwcgrKeuY91p/H5cE8ybF11LtV2TCRt3/d5tRjZxcU65Pfd0mShvVIduqxAfgWjwn5p5Oamqq2bdsqPv7o+Ly+ffsqOztba9eudWzTp0+fSvv17dtXqampJz1uYWGhsrOzK72Aj5fu0k/rylqUXriuvQL9veZ/JQCoVeLDg/Th0PPVvkGEbjgvSbeVP2YPMMuw8m70X/yxW4eOFDrtuJ8s3akjhSVqHldHvVrEOu24AHyP1wwgTktLqxTwJTnep6WlnXKb7Oxs5efnKzj4+MlNJkyYoPHjx7uoangKwzC0bl+OflizTz+sSXN00Rt5SQtalADAxRrWDdHX93UzuwxAknRek2i1axCh1buz9P7iHXrICb35ikvteve37ZKkYd2TeSwkgDNiavPj6NGjZbFYTvlav369mSVqzJgxysrKcrx27dplaj1wH8Mw9OfuLP1n1npd+PwCXfryL5oyb7M27z+iAD+LBnVO0rDudKcDAMCXWCwW3VH++//91B0qKC4942N+t3qf9mUVKKaOTVeeU++MjwfAt5nakj9q1CgNGTLklNskJ1ctRCUkJGjp0qWVlqWnpzvWVXytWHbsNuHh4SdsxZckm80mm81WpRrg+ex2Qyt3Z+qHP8ta7Hdn5DvWBfpb1atFrC5tm6iLzopTeFCAiZUCAACzXNomQf+JDNaezHx9uWKPbjivYY2PZRiG47F5Q7o2ks2fSSUBnBlTQ35sbKxiY50z5iglJUX//ve/tX//fsXFxUmS5syZo/DwcLVu3dqxzffff19pvzlz5iglJcUpNcAzldoNLd+RoR/W7NOsNWnal1XgWBcc4KeLWsWpX5sEXdgqTnV4RB4AAD7P38+q2y5orH99t05v/bJVgzonyWqtWRf71C2HtHZvtoICrLqpSyMnVwrAF3lMYtm5c6cOHz6snTt3qrS0VCtXrpQkNWvWTHXq1NEll1yi1q1b65ZbbtHEiROVlpamJ598Uvfee6+jJf6uu+7SK6+8okcffVS333675s2bp88++0zfffediWcGM5SU2rV0+2H98GeaZq1N04GcoxPnhAb6qfdZ8bq0bYJ6tohTcCB31AEAQGWDzk3S5J82acuBXC3YuF8XtYo//U4nUNGKf13nJEWFBjqzRAA+ymNC/tixYzV9+nTH+3POOUeSNH/+fPXq1Ut+fn6aOXOm7r77bqWkpCg0NFSDBw/W008/7dinSZMm+u677zRixAhNnjxZDRo00FtvvaW+ffu6/XzgfsWldqVuOaQf1qRp9to0HcotcqwLC/LXxa3j1b9Noro3j+H5ywAA4JTCggJ0/XlJevOXbXrz5201Cvmb0nM0f8MBWSzS7Rc0cUGVAHyRxTAMw+wiPEl2drYiIiKUlZWl8HBmVa/tCktKtWjzIX3/5z7N/itdWfnFjnWRIQG6pHW8+rdN1AVNY3gMHgAAqJY9mfnqMXG+Su2GZt7fTW3qR1Rr/8c+X61Pl+1Sv7MTNPWWTi6qEoA3qE4O9ZiWfKCqCopL9fPGA/phTZp+WpeunIISx7q6oYHq2yZBl7ZJVJfkaAX4EewBAEDN1I8M1oC2ifpm1V699ctWvXT9OVXed39Ogb5csUeSNKwHrfgAnIeQD6+QV1SihRsO6Ps1aZq3Ll25RUcfZxMXZlO/Ngnq3yZR5zWJll8NJ8YBAAD4u2Hdk/XNqr2auXqfHuvfSokRJ35i09+9n7pDRaV2ndMwUp0aRbu4SgC+hJAPj1ZSatfTM//SZ8t2qaDY7lieGBGk/m0SdWnbBHVsGFXjGW8BAABOpW2DCHVpEq0l2w5r2m/bNebSs067T15Rid5fvEOSNLx71R4XDQBVRciHR5u7fr/eSy37JZkUHaxL2ySqX5sEtW8QSbAHAABuMax7spZsO6yPlu7U/b2bn/aRu/9bvluZecVqGB2iS85OcFOVAHwFIR8ebebqfZKkW1MaafwVZ8tiIdgDAAD3uqhVnJJjQ7X1QK4++32Xbu928jH2pXZDb/+6TZI0tFsThhECcDpmHYPHyisq0U9/pUuSrurYgIAPAABMYbVaNLQ82L/z2zaVlNpPuu2cv9K1/VCeIoIDdG3nBu4qEYAPIeTDY81bv1/5xaVKig5W+wbVe2QNAACAM13dsYGiQgK0OyNfP65NP+l2b/2yVZJ08/kNFRJIp1oAzkfIh8eauaqsq/5l7erRig8AAEwVFOCnW85vJEl685etMgzjuG3+2JmhZTsyFOhn1eCUxm6uEICvIOTDI+UUFGvehv2SpMvaJZpcDQAAgHRLSmMF+lu1clemlu/IOG59RSv+lR3qKS48yN3lAfARhHx4pJ/WpauoxK7k2FC1Tgw3uxwAAADFhtn0jw71JZW15h9r56E8zVqTJkm6g8fmAXAhQj480rd01QcAALXQHd3LJuCb/Ve6th/MdSx/57dtshtSjxaxapkQZlZ5AHwAIR8eJyuvWL9sOiBJupyu+gAAoBZpHh+mXi1jZRhlwV6SMvOK9OnvuyRJw2nFB+BihHx4nB/Xpqm41FCrhDA1j+dOOAAAqF2GlQf5Gct2KzOvSB8u2an84lK1SgjTBc3qmlwdAG9HyIfH+Xb1XklMuAcAAGqnrk3r6qzEcOUXl+rd37Zr2qLtkqThPZIZZgjA5Qj58CiHjhRq0ZZDksrG4wMAANQ2FotFw8rH5k+Zt0kHcgoVH27jbxcAbkHIh0f5YU2aSu2G2taPUOOYULPLAQAAOKHL2tVTfLhNdqPs/W0XNFGgP396A3A9ftLAo3y7iq76AACg9gv0t2pI17LW/NBAP91wXkOTKwLgK/zNLgCoqvTsAi3dfliSNICQDwAAarnBXRtp5+FcpTSNUURwgNnlAPARhHx4jO9W75NhSB0bRqpBVIjZ5QAAAJxSSKC/JlzVzuwyAPgYuuvDY8x0zKrPpDUAAAAAcCKEfHiE3Rl5+mNnpiwWuuoDAAAAwMkQ8uERvlu9T5J0XuNoxYcHmVwNAAAAANROhHx4hJnlIf/y9nTVBwAAAICTIeSj1tt+MFd/7smSn9Wi/m0SzC4HAAAAAGotQj5qvYoJ97o2rau6dWwmVwMAAAAAtRchH7Weo6s+s+oDAAAAwCkR8lGrbUrP0fq0HAX4WdT3bLrqAwAAAMCpEPJRq31b3orfo3msIkICTK4GAAAAAGo3Qj5qLcMwHOPxL2ufaHI1AAAAAFD7EfJRa/21L1tbD+Qq0N+qPmfFm10OAAAAANR6hHzUWhUT7l3UMk5hQXTVBwAAAIDTIeSjVjIMQ9+uoqs+AAAAAFQHIR+10qrdWdqdka/gAD9d1CrO7HIAAAAAwCMQ8lErzSxvxe/TOl4hgf4mVwMAAAAAnoGQj1rHbjcc4/Eva0dXfQAAAACoKkI+ap3lOzOUll2gMJu/eraINbscAAAAAPAYhHzUOhVd9S8+O15BAX4mVwMAAAAAnqNKg52zs7OrfMDw8PAaFwOU2g1992eaJOnydvVMrgYAAAAAPEuVQn5kZKQsFkuVDlhaWnpGBcG3Ldl6SAePFCoyJEAXNIsxuxwAAAAA8ChVCvnz5893fL99+3aNHj1aQ4YMUUpKiiQpNTVV06dP14QJE1xTJXzGt6vLuur3OztBgf6MJgEAAACA6qhSyO/Zs6fj+6efflovvPCCbrjhBseyK664Qm3bttUbb7yhwYMHO79K+ITiUrt+WFPeVb89XfUBAAAAoLqq3VSampqqzp07H7e8c+fOWrp0qVOKgm/6bfNBZeYVK6ZOoLo0iTa7HAAAAADwONUO+UlJSXrzzTePW/7WW28pKSnJKUXBN327ap8kqX+bRPn70VUfAAAAAKqr2knqxRdf1JQpU9S2bVvdcccduuOOO9SuXTtNmTJFL774oitq1Pbt2zV06FA1adJEwcHBatq0qcaNG6eioqJK261evVrdu3dXUFCQkpKSNHHixOOONWPGDLVq1UpBQUFq27atvv/+e5fUjOopLCnV7LV01QcAAACAM1HtkH/ppZdq06ZNuuKKK3T48GEdPnxYl19+uTZu3KhLL73UFTVq/fr1stvtev3117V27Vq9+OKLmjp1qh5//HHHNtnZ2brkkkvUqFEjLV++XM8995yeeuopvfHGG45tFi1apBtuuEFDhw7VihUrNHDgQA0cOFBr1qxxSd2ouoUbDiinsEQJ4UHq3CjK7HIAAAAAwCNZDMMwqrpxcXGx+vXrp6lTp6p58+aurOu0nnvuOb322mvaunWrJOm1117TE088obS0NAUGBkqSRo8era+++krr16+XJA0aNEi5ubmaOXOm4zjnn3++OnTooKlTp1bpc7OzsxUREaGsrCyFh4c7+ax81wMfr9A3q/bq9guaaOzlrc0uBwAAAABqjerk0Gq15AcEBGj16tVnVJyzZGVlKTr66ORsqamp6tGjhyPgS1Lfvn21YcMGZWRkOLbp06dPpeP07dtXqampJ/2cwsJCZWdnV3rBufKLSvXTunRJ0uXtE02uBgAAAAA8V7W769988816++23XVFLlW3evFlTpkzRnXfe6ViWlpam+Pj4SttVvE9LSzvlNhXrT2TChAmKiIhwvJhc0Pnmrd+vvKJSNYgKVoekSLPLAQAAAACP5V/dHUpKSvTOO+/op59+UqdOnRQaGlpp/QsvvFDlY40ePVr/+c9/TrnNunXr1KpVK8f7PXv2qF+/frr22ms1bNiw6hVfA2PGjNHIkSMd77Ozswn6TjZz9V5J0mXt6slisZhcDQAAAAB4rmqH/DVr1qhjx46SpI0bN1ZaV92ANmrUKA0ZMuSU2yQnJzu+37t3ry688EJ17dq10oR6kpSQkKD09PRKyyreJyQknHKbivUnYrPZZLPZTnsuqJkjhSWat36/JOmydnTVBwAAAIAzUe2QP3/+fKd9eGxsrGJjY6u07Z49e3ThhReqU6dOevfdd2W1Vh5pkJKSoieeeELFxcUKCAiQJM2ZM0ctW7ZUVFSUY5u5c+fqoYcecuw3Z84cpaSkOOeEUG0//ZWuwhK7msSE6ux6TGQIAAAAAGei2mPyzbBnzx716tVLDRs21PPPP68DBw4oLS2t0lj6G2+8UYGBgRo6dKjWrl2rTz/9VJMnT67U1f7BBx/UrFmzNGnSJK1fv15PPfWUli1bpvvuu8+M04KOdtW/vF0iXfUBAAAA4AxVuyVfkpYtW6bPPvtMO3fuVFFRUaV1X3zxhVMKO9acOXO0efNmbd68WQ0aNKi0ruIJgBEREZo9e7buvfdederUSTExMRo7dqyGDx/u2LZr16766KOP9OSTT+rxxx9X8+bN9dVXX6lNmzZOrxmnl5VXrIUbD0iSLmtfz+RqAAAAAMDzWYyKlFxFn3zyiW699Vb17dtXs2fP1iWXXKKNGzcqPT1d//jHP/Tuu++6qtZaoTrPJ8SpfbZslx79fLVaxofpxxE9zC4HAAAAAGql6uTQanfX/7//+z+9+OKL+vbbbxUYGKjJkydr/fr1uu6669SwYcMaFw3fM3P1PklMuAcAAAAAzlLtkL9lyxYNGDBAkhQYGKjc3FxZLBaNGDHiuBnvgZM5dKRQv20+KImu+gAAAADgLNUO+VFRUcrJyZEk1a9fX2vWrJEkZWZmKi8vz7nVwWvNWpumUruhNvXD1SQm1OxyAAAAAMArVHvivR49emjOnDlq27atrr32Wj344IOaN2+e5syZo969e7uiRnihmasquurTig8AAAAAzlLtkP/KK6+ooKBAkvTEE08oICBAixYt0tVXX60nn3zS6QXC++zPLtDibYckSQPaMh4fAAAAAJyl2iE/Ojra8b3VatXo0aOdWhC83/d/7pNhSOc0jFRSdIjZ5QAAAACA16j2mPxbb71V7777rrZs2eKKeuADvl1NV30AAAAAcIVqh/zAwEBNmDBBzZs3V1JSkm6++Wa99dZb2rRpkyvqg5fZm5mv5TsyZLHQVR8AAAAAnK3aIf+tt97Sxo0btWvXLk2cOFF16tTRpEmT1KpVKzVo0MAVNcKLfFfein9u42glRASZXA0AAAAAeJdqh/wKUVFRqlu3rqKiohQZGSl/f3/FxsY6szZ4oW9X75UkXd6OVnwAAAAAcLZqh/zHH39cXbt2Vd26dTV69GgVFBRo9OjRSktL04oVK1xRI7zEjkO5Wr07S1aL1J+u+gAAAADgdNWeXf/ZZ59VbGysxo0bp6uuukotWrRwRV3wQjPLu+p3bRqjmDo2k6sBAAAAAO9T7ZC/YsUKLVy4UAsWLNCkSZMUGBionj17qlevXurVqxehHyf17aryrvrtacUHAAAAAFewGIZhnMkBVq1apRdffFEffvih7Ha7SktLnVVbrZSdna2IiAhlZWUpPDzc7HI8xub9Oerzws/yt1q07Mk+igwJNLskAAAAAPAI1cmh1W7JNwxDK1as0IIFC7RgwQL9+uuvys7OVrt27dSzZ88aFw3v9u2qsq763ZvHEPABAAAAwEWqHfKjo6N15MgRtW/fXj179tSwYcPUvXt3RUZGuqA8eAPDMDSzYlb99vVMrgYAAAAAvFe1Q/4HH3yg7t2701UdVbY+LUdbDuQq0N+qi1vHm10OAAAAAHitaj9Cb8CAAQoPD9fmzZv1448/Kj8/X1JZay1wIhUT7l3YMlZhQQEmVwMAAAAA3qvaIf/QoUPq3bu3WrRooUsvvVT79pWNtR46dKhGjRrl9ALh2cq66pddI5e1o6s+AAAAALhStUP+iBEjFBAQoJ07dyokJMSxfNCgQZo1a5ZTi4PnW707SzsP5yk4wE+9z4ozuxwAAAAA8GrVHpM/e/Zs/fjjj2rQoEGl5c2bN9eOHTucVhi8Q8WEe73PilNIYLUvNwAAAABANVS7JT83N7dSC36Fw4cPy2azOaUoeAe73dB3dNUHAAAAALepdsjv3r273nvvPcd7i8Uiu92uiRMn6sILL3RqcfBsf+zM0N6sAtWx+atXy1izywEAAAAAr1ft/tMTJ05U7969tWzZMhUVFenRRx/V2rVrdfjwYf3222+uqBEeqmLCvUtaxysowM/kagAAAADA+1W7Jb9NmzbauHGjunXrpiuvvFK5ubm66qqrtGLFCjVt2tQVNcIDldoNffdneVf99okmVwMAAAAAvqFaLfnFxcXq16+fpk6dqieeeMJVNcELLNl2SAdyChURHKBuzeiqDwAAAADuUK2W/ICAAK1evdpVtcCLVHTV73d2ggL9q91hBAAAAABQA9VOXzfffLPefvttV9QCL1FcatcPdNUHAAAAALer9sR7JSUleuedd/TTTz+pU6dOCg0NrbT+hRdecFpx8EyLthxSRl6x6oYGKiW5rtnlAAAAAIDPqHbIX7NmjTp27ChJ2rhxY6V1FovFOVXBo81ctVeS1L9tgvz96KoPAAAAAO5S7ZA/f/58V9QBL1FYUqpZa9MkSZe3q2dyNQAAAADgW2hmhVP9svGgcgpKFB9u07mNo80uBwAAAAB8CiEfTvXt6rKu+pe2TZTVyvANAAAAAHAnQj6cpqC4VD/9lS5Jurw9XfUBAAAAwN0I+XCanzceUG5RqepHBuucpEizywEAAAAAn0PIh9Ms2nJIknRRqzietAAAAAAAJqjS7PrffPNNlQ94xRVX1LgYeLbFW8tCfkrTuiZXAgAAAAC+qUohf+DAgVU6mMViUWlp6ZnUAw916Eih1qflSJK6NGFWfQAAAAAwQ5VCvt1ud3Ud8HBLtx2WJLWMD1PdOjaTqwEAAAAA38SYfDhFanlX/fOTacUHAAAAALNUqSX/73Jzc7Vw4ULt3LlTRUVFldY98MADTikMnoXx+AAAAABgvmqH/BUrVujSSy9VXl6ecnNzFR0drYMHDyokJERxcXGEfB908EihNqYfkSSd14SQDwAAAABmqXZ3/REjRujyyy9XRkaGgoODtXjxYu3YsUOdOnXS888/74oaUcst2Vo2Hr9VQpiiQwNNrgYAAAAAfFe1Q/7KlSs1atQoWa1W+fn5qbCwUElJSZo4caIef/xxV9SIWm6xYzw+rfgAAAAAYKZqh/yAgABZrWW7xcXFaefOnZKkiIgI7dq1y7nVHeOKK65Qw4YNFRQUpMTERN1yyy3au3dvpW1Wr16t7t27KygoyHHj4e9mzJihVq1aKSgoSG3bttX333/vspp9RSohHwAAAABqhWqH/HPOOUe///67JKlnz54aO3asPvzwQz300ENq06aN0wuscOGFF+qzzz7Thg0b9L///U9btmzRNddc41ifnZ2tSy65RI0aNdLy5cv13HPP6amnntIbb7zh2GbRokW64YYbNHToUK1YsUIDBw7UwIEDtWbNGpfV7e0O5BRq8/4jsliYWR8AAAAAzGYxDMOozg7Lli1TTk6OLrzwQu3fv1+33nqrFi1apObNm+vtt99Whw4dXFRqZd98840GDhyowsJCBQQE6LXXXtMTTzyhtLQ0BQaWjQsfPXq0vvrqK61fv16SNGjQIOXm5mrmzJmO45x//vnq0KGDpk6desLPKSwsVGFhoeN9dna2kpKSlJWVpfDwcBeeoWf4dtVe3f/xCp2VGK4fHuxudjkAAAAA4HWys7MVERFRpRxa7Zb8zp0768ILL5RU1l1/1qxZys7O1vLly90W8A8fPqwPP/xQXbt2VUBAgCQpNTVVPXr0cAR8Serbt682bNigjIwMxzZ9+vSpdKy+ffsqNTX1pJ81YcIERUREOF5JSUkuOCPP5Xh0Hl31AQAAAMB01Q75F110kTIzM49bnp2drYsuusgZNZ3UY489ptDQUNWtW1c7d+7U119/7ViXlpam+Pj4SttXvE9LSzvlNhXrT2TMmDHKyspyvFw574AnOjoen676AAAAAGC2aof8BQsWqKio6LjlBQUF+uWXX6p1rNGjR8tisZzyVdHVXpIeeeQRrVixQrNnz5afn59uvfVWVXO0QbXZbDaFh4dXeqHM/uwCbT2QK4tF6tKElnwAAAAAMJt/VTdcvXq14/u//vqrUut3aWmpZs2apfr161frw0eNGqUhQ4accpvk5GTH9zExMYqJiVGLFi101llnKSkpSYsXL1ZKSooSEhKUnp5ead+K9wkJCY6vJ9qmYj2qZ/G2w5Kk1onhiggJMLkaAAAAAECVQ36HDh0cresn6pYfHBysKVOmVOvDY2NjFRsbW619KtjtdklyTIqXkpKiJ554QsXFxY5x+nPmzFHLli0VFRXl2Gbu3Ll66KGHHMeZM2eOUlJSalSDr0vdwqPzAAAAAKA2qXLI37ZtmwzDUHJyspYuXVopnAcGBiouLk5+fn4uKXLJkiX6/fff1a1bN0VFRWnLli365z//qaZNmzoC+o033qjx48dr6NCheuyxx7RmzRpNnjxZL774ouM4Dz74oHr27KlJkyZpwIAB+uSTT7Rs2bJKj9lD1S1h0j0AAAAAqFWqHPIbNWok6WgLujuFhIToiy++0Lhx45Sbm6vExET169dPTz75pGw2myQpIiJCs2fP1r333qtOnTopJiZGY8eO1fDhwx3H6dq1qz766CM9+eSTevzxx9W8eXN99dVXatOmjdvPydOlZxdo68FcWS3SuU2YdA8AAAAAagOLUYOZ67Zs2aKXXnpJ69atkyS1bt1aDz74oJo2ber0Amub6jyf0Jt9vXKPHvxkpdrWj9C393czuxwAAAAA8FrVyaHVnl3/xx9/VOvWrbV06VK1a9dO7dq105IlS3T22Wdrzpw5NS4anuXoeHxa8QEAAACgtqhyd/0Ko0eP1ogRI/Tss88et/yxxx7TxRdf7LTiUHstrhiP35Tx+AAAAABQW1S7JX/dunUaOnTocctvv/12/fXXX04pCrXbvqx8bT+UJ6tF6tyYlnwAAAAAqC2qHfJjY2O1cuXK45avXLlScXFxzqgJtVxFK36b+hEKDwowuRoAAAAAQIUqd9d/+umn9fDDD2vYsGEaPny4tm7dqq5du0qSfvvtN/3nP//RyJEjXVYoao/FWw5L4tF5AAAAAFDbVHl2fT8/P+3bt0+xsbF66aWXNGnSJO3du1eSVK9ePT3yyCN64IEHZLFYXFqw2ZhdX+oxcb52Hs7Tu0PO1YWt6L0BAAAAAK5UnRxa5Zb8insBFotFI0aM0IgRI5STkyNJCgsLO4Ny4Un2ZOZr5+E8+Vkt6tw4yuxyAAAAAADHqNbs+n9vpSfc+57FW46Oxw9jPD4AAAAA1CrVCvktWrQ4bXf8w4cPn1FBqN0cj85jPD4AAAAA1DrVCvnjx49XRESEq2qBB0gtD/nnJ/PoPAAAAACobaoV8q+//noek+fDdh3O0+6MfPlZLTq3MSEfAAAAAGoba1U39PZZ83F6S7aVDcVo1yBCobZq3R8CAAAAALhBlUN+FZ+0By+WuqWiqz7j8QEAAACgNqpyc6zdbndlHfAATLoHAAAAALVblVvy4dt2Hc7Tnsx8+Vst6tQoyuxyAAAAAAAnQMhHlVTMqt8+KZLx+AAAAABQSxHyUSWLt/DoPAAAAACo7Qj5OC3DMI4Zjx9jcjUAAAAAgJMh5OO0dh3O196sAgX4WdSxUaTZ5QAAAAAAToKQj9NK3XpQktS+QaRCAhmPDwAAAAC1FSEfp7V462FJUkpTHp0HAAAAALUZIR+nZBiGUh2T7hHyAQAAAKA2I+TjlHYcylNadoEC/azq2DDK7HIAAAAAAKdAyMcppZbPqt8hKVLBgX4mVwMAAAAAOBVCPk6p4tF55zMeHwAAAABqPUI+TsowjKMhPzna5GoAAAAAAKdDyMdJbTuYq/TsQsbjAwAAAICHIOTjpCoenXdOw0gFBTAeHwAAAABqO0I+Tip1K4/OAwAAAABPQsjHCR07Hj+FSfcAAAAAwCMQ8nFCWw7k6kBOoQL9reqQFGl2OQAAAACAKiDk44QqWvE7NYxiPD4AAAAAeAhCPk6I8fgAAAAA4HkI+TiOYRhawnh8AAAAAPA4hHwcZ8uBIzp4pEg2f6vaJ0WYXQ4AAAAAoIoI+ThO6pby8fiNomTzZzw+AAAAAHgKQj6Os3jrYUlSCuPxAQAAAMCjEPJRiWEYjpn1z2c8PgAAAAB4FEI+Ktm0/4gO5RYpKMCq9g0izS4HAAAAAFANhHxUUjEev3OjaAX6c3kAAAAAgCchxaGSxTw6DwAAAAA8FiEfDna7oSXbyibdOz852uRqAAAAAADVRciHw8b9OTqcW6TgAD+1rR9pdjkAAAAAgGryuJBfWFioDh06yGKxaOXKlZXWrV69Wt27d1dQUJCSkpI0ceLE4/afMWOGWrVqpaCgILVt21bff/+9myqv/RZXjMdvHMV4fAAAAADwQB6X5B599FHVq1fvuOXZ2dm65JJL1KhRIy1fvlzPPfecnnrqKb3xxhuObRYtWqQbbrhBQ4cO1YoVKzRw4EANHDhQa9ascecp1FqpFY/OS2Y8PgAAAAB4Io8K+T/88INmz56t559//rh1H374oYqKivTOO+/o7LPP1vXXX68HHnhAL7zwgmObyZMnq1+/fnrkkUd01lln6ZlnnlHHjh31yiuvnPQzCwsLlZ2dXenljY4dj8+kewAAAADgmTwm5Kenp2vYsGF6//33FRISctz61NRU9ejRQ4GBgY5lffv21YYNG5SRkeHYpk+fPpX269u3r1JTU0/6uRMmTFBERITjlZSU5KQzql3Wp+UoM69YIYF+als/wuxyAAAAAAA14BEh3zAMDRkyRHfddZc6d+58wm3S0tIUHx9faVnF+7S0tFNuU7H+RMaMGaOsrCzHa9euXWdyKrVWxaPzzm0crQA/j7gsAAAAAAB/Y2qaGz16tCwWyylf69ev15QpU5STk6MxY8a4vUabzabw8PBKL2+0mPH4AAAAAODx/M388FGjRmnIkCGn3CY5OVnz5s1TamqqbDZbpXWdO3fWTTfdpOnTpyshIUHp6emV1le8T0hIcHw90TYV633VsePxz0+ONrkaAAAAAEBNmRryY2NjFRsbe9rtXn75Zf3rX/9yvN+7d6/69u2rTz/9VF26dJEkpaSk6IknnlBxcbECAgIkSXPmzFHLli0VFRXl2Gbu3Ll66KGHHMeaM2eOUlJSnHhWnmddWray8osVynh8AAAAAPBopob8qmrYsGGl93Xq1JEkNW3aVA0aNJAk3XjjjRo/fryGDh2qxx57TGvWrNHkyZP14osvOvZ78MEH1bNnT02aNEkDBgzQJ598omXLllV6zJ4vSt1SPh6/SbT8GY8PAAAAAB7LaxJdRESEZs+erW3btqlTp04aNWqUxo4dq+HDhzu26dq1qz766CO98cYbat++vT7//HN99dVXatOmjYmVm2/x1vJH5zEeHwAAAAA8msUwDMPsIjxJdna2IiIilJWV5RWT8JXaDXV4erZyCkr09b0XqH1SpNklAQAAAACOUZ0c6jUt+aiZdfuylVNQojCbv86u5/k3LQAAAADAlxHyfVzFo/MYjw8AAAAAno9U5+MqJt1jPD4AAAAAeD5Cvg8rtRtauq1s0r3zCfkAAAAA4PEI+T5s7d4s5RSWKCzIX60Zjw8AAAAAHo+Q78MqxuN3aRItP6vF5GoAAAAAAGeKkO/DKsbj01UfAAAAALwDId9HlZTa9fv2DEmEfAAAAADwFoR8H7Vmb7aOFJYoPMhfZyUyHh8AAAAAvAEh30c5xuMn12U8PgAAAAB4CUK+j6oI+XTVBwAAAADvQcj3QcWldv2+7bAk6fzkaJOrAQAAAAA4CyHfB63Zk6XcolJFBAforATG4wMAAACAtyDk+6DUivH4TaJlZTw+AAAAAHgNQr4PWry1rKt+SlPG4wMAAACANyHk+5jiUruWba8Yj0/IBwAAAABvQsj3Mat3ZymvqFRRIQFqGR9mdjkAAAAAACci5PuYxY7x+HUZjw8AAAAAXoaQ72MqQj6PzgMAAAAA70PI9yFFJXYt254hSUppGmNyNQAAAAAAZyPk+5DVuzOVX1yq6NBANY+rY3Y5AAAAAAAnI+T7kGO76jMeHwAAAAC8DyHfh6Q6Qj6PzgMAAAAAb0TI9xGFJaVavqN8PD4hHwAAAAC8EiHfR6zenaWCYrti6gSqGePxAQAAAMArEfJ9ROqWsq76XZLrymJhPD4AAAAAeCNCvo9YzHh8AAAAAPB6hHwfUHk8frTJ1QAAAAAAXIWQ7wNW7sxUYYldMXVsahrLeHwAAAAA8FaEfB9w9NF50YzHBwAAAAAvRsj3ARXj8VOaMh4fAAAAALwZId/LFRSX6o+dmZKYdA8AAAAAvB0h38ut2JmpohK74sJsSo4JNbscAAAAAIALEfK93LGPzmM8PgAAAAB4N0K+l0s9JuQDAAAAALwbId+LFRSXamX5eHwm3QMAAAAA70fI92J/7MhQUald8eE2Na4bYnY5AAAAAAAXI+R7Mcej8xiPDwAAAAA+gZDvxRiPDwAAAAC+hZDvpfKLSrVyV6YkxuMDAAAAgK8g5HupP3ZmqLjUUGJEkBpGMx4fAAAAAHwBId9LpW452lWf8fgAAAAA4Bv8zS4ArnFek2hdl9NAF7WKM7sUAAAAAICbeExLfuPGjWWxWCq9nn322UrbrF69Wt27d1dQUJCSkpI0ceLE444zY8YMtWrVSkFBQWrbtq2+//57d52CW/VoEauJ17RXvzaJZpcCAAAAAHATjwn5kvT0009r3759jtf999/vWJedna1LLrlEjRo10vLly/Xcc8/pqaee0htvvOHYZtGiRbrhhhs0dOhQrVixQgMHDtTAgQO1Zs0aM04HAAAAAACn8qju+mFhYUpISDjhug8//FBFRUV65513FBgYqLPPPlsrV67UCy+8oOHDh0uSJk+erH79+umRRx6RJD3zzDOaM2eOXnnlFU2dOtVt5wEAAAAAgCt4VEv+s88+q7p16+qcc87Rc889p5KSEse61NRU9ejRQ4GBgY5lffv21YYNG5SRkeHYpk+fPpWO2bdvX6Wmpp70MwsLC5WdnV3pBQAAAABAbeQxLfkPPPCAOnbsqOjoaC1atEhjxozRvn379MILL0iS0tLS1KRJk0r7xMfHO9ZFRUUpLS3NsezYbdLS0k76uRMmTND48eOdfDYAAAAAADifqS35o0ePPm4yvb+/1q9fL0kaOXKkevXqpXbt2umuu+7SpEmTNGXKFBUWFrq0xjFjxigrK8vx2rVrl0s/DwAAAACAmjK1JX/UqFEaMmTIKbdJTk4+4fIuXbqopKRE27dvV8uWLZWQkKD09PRK21S8rxjHf7JtTjbOX5JsNptsNtvpTgUAAAAAANOZGvJjY2MVGxtbo31Xrlwpq9WquLiy58CnpKToiSeeUHFxsQICAiRJc+bMUcuWLRUVFeXYZu7cuXrooYccx5kzZ45SUlLO7EQAAAAAAKgFPGLivdTUVL300ktatWqVtm7dqg8//FAjRozQzTff7AjwN954owIDAzV06FCtXbtWn376qSZPnqyRI0c6jvPggw9q1qxZmjRpktavX6+nnnpKy5Yt03333WfWqQEAAAAA4DQWwzAMs4s4nT/++EP33HOP1q9fr8LCQjVp0kS33HKLRo4cWakr/erVq3Xvvffq999/V0xMjO6//3499thjlY41Y8YMPfnkk9q+fbuaN2+uiRMn6tJLL61yLdnZ2YqIiFBWVpbCw8Oddo4AAAAAAJxIdXKoR4T82iQrK0uRkZHatWsXIR8AAAAA4HLZ2dlKSkpSZmamIiIiTrmtxzxCr7bIycmRJCUlJZlcCQAAAADAl+Tk5Jw25NOSX012u1179+5VWFiYLBaL2eWcUsXdHnodoKa4huAMXEdwBq4jOAPXEc4U1xCcoSbXkWEYysnJUb169WS1nnpqPVryq8lqtapBgwZml1Et4eHh/BDCGeEagjNwHcEZuI7gDFxHOFNcQ3CG6l5Hp2vBr+ARs+sDAAAAAIDTI+QDAAAAAOAlCPlezGazady4cZUeMwhUB9cQnIHrCM7AdQRn4DrCmeIagjO4+jpi4j0AAAAAALwELfkAAAAAAHgJQj4AAAAAAF6CkA8AAAAAgJcg5AMAAAAA4CUI+QAAAAAAeAlCvpd69dVX1bhxYwUFBalLly5aunSp2SWhFnvqqadksVgqvVq1auVYX1BQoHvvvVd169ZVnTp1dPXVVys9Pd3EimG2n3/+WZdffrnq1asni8Wir776qtJ6wzA0duxYJSYmKjg4WH369NGmTZsqbXP48GHddNNNCg8PV2RkpIYOHaojR4648SxgttNdR0OGDDnuZ1O/fv0qbcN15NsmTJigc889V2FhYYqLi9PAgQO1YcOGSttU5XfYzp07NWDAAIWEhCguLk6PPPKISkpK3HkqMFFVrqNevXod9/PorrvuqrQN15Fve+2119SuXTuFh4crPDxcKSkp+uGHHxzr3fmziJDvhT799FONHDlS48aN0x9//KH27durb9++2r9/v9mloRY7++yztW/fPsfr119/dawbMWKEvv32W82YMUMLFy7U3r17ddVVV5lYLcyWm5ur9u3b69VXXz3h+okTJ+rll1/W1KlTtWTJEoWGhqpv374qKChwbHPTTTdp7dq1mjNnjmbOnKmff/5Zw4cPd9cpoBY43XUkSf369av0s+njjz+utJ7ryLctXLhQ9957rxYvXqw5c+aouLhYl1xyiXJzcx3bnO53WGlpqQYMGKCioiItWrRI06dP17Rp0zR27FgzTgkmqMp1JEnDhg2r9PNo4sSJjnVcR2jQoIGeffZZLV++XMuWLdNFF12kK6+8UmvXrpXk5p9FBrzOeeedZ9x7772O96WlpUa9evWMCRMmmFgVarNx48YZ7du3P+G6zMxMIyAgwJgxY4Zj2bp16wxJRmpqqpsqRG0myfjyyy8d7+12u5GQkGA899xzjmWZmZmGzWYzPv74Y8MwDOOvv/4yJBm///67Y5sffvjBsFgsxp49e9xWO2qPv19HhmEYgwcPNq688sqT7sN1hL/bv3+/IclYuHChYRhV+x32/fffG1ar1UhLS3Ns89prrxnh4eFGYWGhe08AtcLfryPDMIyePXsaDz744En34TrCiURFRRlvvfWW238W0ZLvZYqKirR8+XL16dPHscxqtapPnz5KTU01sTLUdps2bVK9evWUnJysm266STt37pQkLV++XMXFxZWuqVatWqlhw4ZcUzihbdu2KS0trdI1ExERoS5dujiumdTUVEVGRqpz586Obfr06SOr1aolS5a4vWbUXgsWLFBcXJxatmypu+++W4cOHXKs4zrC32VlZUmSoqOjJVXtd1hqaqratm2r+Ph4xzZ9+/ZVdna2owUOvuXv11GFDz/8UDExMWrTpo3GjBmjvLw8xzquIxyrtLRUn3zyiXJzc5WSkuL2n0X+zjkN1BYHDx5UaWlppYtDkuLj47V+/XqTqkJt16VLF02bNk0tW7bUvn37NH78eHXv3l1r1qxRWlqaAgMDFRkZWWmf+Ph4paWlmVMwarWK6+JEP4cq1qWlpSkuLq7Sen9/f0VHR3NdwaFfv3666qqr1KRJE23ZskWPP/64+vfvr9TUVPn5+XEdoRK73a6HHnpIF1xwgdq0aSNJVfodlpaWdsKfVxXr4FtOdB1J0o033qhGjRqpXr16Wr16tR577DFt2LBBX3zxhSSuI5T5888/lZKSooKCAtWpU0dffvmlWrdurZUrV7r1ZxEhH4D69+/v+L5du3bq0qWLGjVqpM8++0zBwcEmVgbAl11//fWO79u2bat27dqpadOmWrBggXr37m1iZaiN7r33Xq1Zs6bSnDJAdZ3sOjp2ro+2bdsqMTFRvXv31pYtW9S0aVN3l4laqmXLllq5cqWysrL0+eefa/DgwVq4cKHb66C7vpeJiYmRn5/fcTM1pqenKyEhwaSq4GkiIyPVokULbd68WQkJCSoqKlJmZmalbbimcDIV18Wpfg4lJCQcNxloSUmJDh8+zHWFk0pOTlZMTIw2b94siesIR913332aOXOm5s+frwYNGjiWV+V3WEJCwgl/XlWsg+842XV0Il26dJGkSj+PuI4QGBioZs2aqVOnTpowYYLat2+vyZMnu/1nESHfywQGBqpTp06aO3euY5ndbtfcuXOVkpJiYmXwJEeOHNGWLVuUmJioTp06KSAgoNI1tWHDBu3cuZNrCifUpEkTJSQkVLpmsrOztWTJEsc1k5KSoszMTC1fvtyxzbx582S32x1/OAF/t3v3bh06dEiJiYmSuI5Q9rjO++67T19++aXmzZunJk2aVFpfld9hKSkp+vPPPyvdMJozZ47Cw8PVunVr95wITHW66+hEVq5cKUmVfh5xHeHv7Ha7CgsL3f+zyBmzBqJ2+eSTTwybzWZMmzbN+Ouvv4zhw4cbkZGRlWZqBI41atQoY8GCBca2bduM3377zejTp48RExNj7N+/3zAMw7jrrruMhg0bGvPmzTOWLVtmpKSkGCkpKSZXDTPl5OQYK1asMFasWGFIMl544QVjxYoVxo4dOwzDMIxnn33WiIyMNL7++mtj9erVxpVXXmk0adLEyM/PdxyjX79+xjnnnGMsWbLE+PXXX43mzZsbN9xwg1mnBBOc6jrKyckxHn74YSM1NdXYtm2b8dNPPxkdO3Y0mjdvbhQUFDiOwXXk2+6++24jIiLCWLBggbFv3z7HKy8vz7HN6X6HlZSUGG3atDEuueQSY+XKlcasWbOM2NhYY8yYMWacEkxwuuto8+bNxtNPP20sW7bM2LZtm/H1118bycnJRo8ePRzH4DrC6NGjjYULFxrbtm0zVq9ebYwePdqwWCzG7NmzDcNw788iQr6XmjJlitGwYUMjMDDQOO+884zFixebXRJqsUGDBhmJiYlGYGCgUb9+fWPQoEHG5s2bHevz8/ONe+65x4iKijJCQkKMf/zjH8a+fftMrBhmmz9/viHpuNfgwYMNwyh7jN4///lPIz4+3rDZbEbv3r2NDRs2VDrGoUOHjBtuuMGoU6eOER4ebtx2221GTk6OCWcDs5zqOsrLyzMuueQSIzY21ggICDAaNWpkDBs27Lgb1lxHvu1E148k491333VsU5XfYdu3bzf69+9vBAcHGzExMcaoUaOM4uJiN58NzHK662jnzp1Gjx49jOjoaMNmsxnNmjUzHnnkESMrK6vScbiOfNvtt99uNGrUyAgMDDRiY2ON3r17OwK+Ybj3Z5HFMAyjem3/AAAAAACgNmJMPgAAAAAAXoKQDwAAAACAlyDkAwAAAADgJQj5AAAAAAB4CUI+AAAAAABegpAPAAAAAICXIOQDAAAAAOAlCPkAAKBGtm/fLovFopUrV7rsM4YMGaKBAwe67PgAAHgbQj4AAD5qyJAhslgsx7369etXpf2TkpK0b98+tWnTxsWVAgCAqvI3uwAAAGCefv366d133620zGazVWlfPz8/JSQkuKIsAABQQ7TkAwDgw2w2mxISEiq9oqKiJEkWi0Wvvfaa+vfvr+DgYCUnJ+vzzz937Pv37voZGRm66aabFBsbq+DgYDVv3rzSDYQ///xTF110kYKDg1W3bl0NHz5cR44ccawvLS3VyJEjFRkZqbp16+rRRx+VYRiV6rXb7ZowYYKaNGmi4OBgtW/fvlJNp6sBAABvR8gHAAAn9c9//lNXX321Vq1apZtuuknXX3+91q1bd9Jt//rrL/3www9at26dXnvtNcXExEiScnNz1bdvX0VFRen333/XjBkz9NNPP+m+++5z7D9p0iRNmzZN77zzjn799VcdPnxYX375ZaXPmDBhgt577z1NnTpVa9eu1YgRI3TzzTdr4cKFp60BAABfYDH+foscAAD4hCFDhuiDDz5QUFBQpeWPP/64Hn/8cVksFt1111167bXXHOvOP/98dezYUf/973+1fft2NWnSRCtWrFCHDh10xRVXKCYmRu+8885xn/Xmm2/qscce065duxQaGipJ+v7773X55Zdr7969io+PV7169TRixAg98sgjkqSSkhI1adJEnTp10ldffaXCwkJFR0frp59+UkpKiuPYd9xxh/Ly8vTRRx+dsgYAAHwBY/IBAPBhF154YaUQL0nR0dGO748N0xXvTzab/t13362rr75af/zxhy655BINHDhQXbt2lSStW7dO7du3dwR8Sbrgggtkt9u1YcMGBQUFad++ferSpYtjvb+/vzp37uzosr9582bl5eXp4osvrvS5RUVFOuecc05bAwAAvoCQDwCADwsNDVWzZs2ccqz+/ftrx44d+v777zVnzhz17t1b9957r55//nmnHL9i/P53332n+vXrV1pXMVmgq2sAAKC2Y0w+AAA4qcWLFx/3/qyzzjrp9rGxsRo8eLA++OADvfTSS3rjjTckSWeddZZWrVql3Nxcx7a//fabrFarWrZsqYiICCUmJmrJkiWO9SUlJVq+fLnjfevWrWWz2bRz5041a9as0ispKem0NQAA4AtoyQcAwIcVFhYqLS2t0jJ/f3/HZHUzZsxQ586d1a1bN3344YdaunSp3n777RMea+zYserUqZPOPvtsFRYWaubMmY4bAjfddJPGjRunwYMH66mnntKBAwd0//3365ZbblF8fLwk6cEHH9Szzz6r5s2bq1WrVnrhhReUmZnpOH5YWJgefvhhjRgxQna7Xd26dVNWVpZ+++03hYeHa/DgwaesAQAAX0DIBwDAh82aNUuJiYmVlrVs2VLr16+XJI0fP16ffPKJ7rnnHiUmJurjjz9W69atT3iswMBAjRkzRtu3b1dwcLC6d++uTz75RJIUEhKiH3/8UQ8++KDOPfdchYSE6Oqrr9YLL7zg2H/UqFHat2+fBg8eLKvVqttvv13/+Mc/lJWV5djmmWeeUWxsrCZMmKCtW7cqMjJSHTt21OOPP37aGgAA8AXMrg8AAE7IYrHoyy+/1MCBA80uBQAAVBFj8gEAAAAA8BKEfAAAAAAAvARj8gEAwAkxog8AAM9DSz4AAAAAAF6CkA8AAAAAgJcg5AMAAAAA4CUI+QAAAAAAeAlCPgAAAAAAXoKQDwAAAACAlyDkAwAAAADgJQj5AAAAAAB4CUI+AAAAAHi5V199VY0bN1ZQUJC6dOmipUuXml0SXISQDwAAAABe7NNPP9XIkSM1btw4/fHHH2rfvr369u2r/fv3m10aXMBiGIZhdhEAAAAAgKorLCxUYWFhpWU2m002m+24bbt06aJzzz1Xr7zyiiTJbrcrKSlJ999/v0aPHu2WeuE+/mYX4In8/CLMLsEUzUJ6m12CKbbmLzS7BFOUlGabXYIpQm2NzS7BFP2D+ptdgike7rDV7BJMERmWY3YJpgiPyjK7BFOExmSaXYIpbAmHzC7BFP71Ss0uwRR+N+eZXUKNlerDGu03YcImjR8/vtKycePG6amnnqq0rKioSMuXL9eYMWMcy6xWq/r06aPU1NQafTZqN0I+AAAAAJjEbq/ZjZkxY8Zo5MiRlZadqBX/4MGDKi0tVXx8fKXl8fHxWr9+fY0+G7UbIR8AAAAATGIYJTXa72Rd8wEm3gMAAAAALxUTEyM/Pz+lp6dXWp6enq6EhASTqoIrEfIBAAAAwCSGUVqjV1UFBgaqU6dOmjt3rmOZ3W7X3LlzlZKS4opTgsnorg8AAAAAJrHXsLt+dYwcOVKDBw9W586ddd555+mll15Sbm6ubrvtNpd/NtyPkA8AAAAAJqnpmPzqGDRokA4cOKCxY8cqLS1NHTp00KxZs46bjA/egZAPAAAAACZxR8iXpPvuu0/33XefWz4L5iLkAwAAAIBJDLt7Qj58ByEfAAAAAMzippZ8+A5CPgAAAACYxF3d9eE7CPkAAAAAYBZ7sdkVwMsQ8gEAAADAJLTkw9kI+QAAAABgFibeg5MR8gEAAADALIR8OJnV7AIAAAAAAIBz0JIPAAAAAGZhTD6cjJAPAAAAACax0F0fTkbIBwAAAACzEPLhZIR8AAAAADALIR9ORsgHAAAAAJNYGJMPJyPkAwAAAIBZ7KVmVwAvQ8gHAAAAAJMw8R6cjZAPAAAAAGahJR9ORsgHAAAAALPQkg8ns5pdAFAVfn5WBdoCZLFYzC4FbuDv76/4+Hizy4Cb+PlbFRkXZnYZAOA8Fj/JzybJt/5uKbFLhSWS3TC7Es9isZfW6AWcDCEfHmHspGH68+CnOveC1maXAhcLCgrSDz/MVFrabt13371mlwMXCwwK0OOf3603N/5b/Yb3MLscAHAK/4snyTbqoCxJF5hdilv964conTMhSct22MwuBfBpdNcHUGsEBwdr5syvddFFF0qSpkx5SVarVS+/PMXkyuAKgcEBGvPpnWrTo4UkaejEa2S1WvT91IUmVwYAgBvRKg8nI+QDqBVCQkL03XffqFevnrLb7bJarbLb7Zo8+QVZLBZNnvyy2SXCiWwhgRrz2Z06u1vzSv/etz17tWSx6PvXFphdIgAAbkHXezgb3fUBmC40NFQ//DBTvXr11Lx58/XBBx9Jkh59dLQyMjL00kuTNGLEQ+YWCacJCg3U45/fpbO7Ndeanzfql8+WSZI+GPuNjmTm6bYJV+myey80uUoAANzEXlqzF3AShHwPFhUVpeuuu8rsMuAkwcHBuuWW680uwxQJCQlq3ryZfvppri677Erl5eVJkpYtW66LL+6vjIwMpaR0MblK5woODtKNN//D7DJMERkXrsTkWK1esEETBr2uwrwiSdKWlTv1zMBXdSQzTy3ObWxukW7mF1ZH0Rd2N7sMt7PWCVNYN9+7oWMJDVdQl0vMLsP9QiLk3+Eys6sAah0m3oOz0V3fg/3vfx+oe/euio6O1tSpb5ldDs5ASEiIvv7mI/Xq1V1Wq1XTp39kdklutWXLFnXt2kNpaWkqKCiotG758uXq0uUCbd261aTqnC8kJFiff/mGevQ8X1arVR+89z+zS3KrtG0H9WTfF5WZnqOiguJK67au3KXHe09S+vZDJlVnjhbPPKGwdmdre3iY9n/9vdnluE39J/6l4Nbt5BceoczvvzK7HLeJevAFBbboqOw6kcqb+5nZ5bhNyG1vyK/JuSoIiVTxog/MLgeoPQjscDJa8j3Yk08+rSNHjujVVyfpnnuGmV0OaigkJETffPuxevXqrp9//k0zZnxldkmm2L59+3EBv8KmTZtUWuodvwBDQoL1v6/eVI+e5+vXX5bqi899J9Ada/+Ow8cF/Ar7thyQvdTu5orMteut92TPL1CTEfco/h++09J58L03ZS/IV/zdIxQ5wHd6tuTMeEVGYZ4iBj+ukD6DzC7HbQq/mygV5Sr4mn8poNutZpcD1Bq05MPZCPkebNGiJerf/yplZWVpypTnde+9w80uCdUUGhqqb2d+op49u2n+/F902YBBjq7q8D6hoSH64uu31L1HFy1ckKp/XDFUeXn5ZpeFWuDImnVa/8hYlRzJVeMH7/KZoJ+/bo12j31EpblHFH/XQ4q8zDeGoBVvWqnDz90je16OIm4do5CLfWOoVun25cp7fbCM/GwFX/W0AroNNrskoHZgTD6czKu76x88eFDvvPOOUlNTlZaWJqls7G/Xrl01ZMgQxcbGnvYYhYWFKiwsrLTMMAxZLBaX1Dxt2lSde26nau1jtxuSpJdffk6HDx/Wxx9/7orS4AIzPp+uHj3KnqHbpEkjLf19frX2f/KJZ/T119+5ojS4wEefvqpu3c+TJDVukqTfFn9Vrf3H/XOSvv1mjgsqgyskjxmpOmc1r95ORtnP88YP3qWS7Bwdmut5jxNMGPG4glq0qt5O5ecdf+eDKs3JVs7Cn1xQmWtFDH9GgcltqrdT+XlH3DJa9iNZKkj9wQWVuVbQDZPk17BD9XYqP+/gq8bLyMtQyR/fOL8wwINY7LWn99r27dv1zDPPaN68eUpLS1O9evV0880364knnlBgYKDZ5aGKvDbk//777+rbt69CQkLUp08ftWhR9hzm9PR0vfzyy3r22Wf1448/qnPnzqc8zoQJEzR+/Pi/LQ2UxRLkkrqTkhqoVasWNd4/JibGidXA1WJj6jq+b9y4YbX3j4gId2Y5cLGYmGjH940aNaj2/uERYc4sBy5mi49VcMOkGu/vHxnhxGrcJyA2TrYGjWq8v1+4Z563X91E+ddrUuP9rWFRTqzGfaxR9eUX37Tm+4fWPf1GgLerRa3y69evl91u1+uvv65mzZppzZo1GjZsmHJzc/X888+bXR6qyGtD/v33369rr71WU6dOPa7V3TAM3XXXXbr//vuVmpp6yuOMGTNGI0eOrLQsMrL6f5xXVe/e1eui2bhxI82d+60aN26k//73TU2ZMtVFlblf42aJSt97WPl5hceta9YqSds371VJSe35oVgTAwfepDk/faXmzZtq2rsfavjwB2WUt3DA+1x79Z36/sf31axZY703/XPde9fj/Ht7sXUPjanW9raEeJ310v/JlhCv9C9nKv1/ntm6uevxh6q1fUB8gpL+/ZIC4hOV8d2XyvzWMyeiPDzhjmpt7xdTT9Fj3pJ/bD3l/vSp8mZ75oSref+t3lADS3QDhd7ziazRDVT063sq+uVdF1XmfpaoZjKO7JWKjx92Z6nbSkbGZsleYkJlrrX9kL/iwkoVEnj877NN+/3VuG6JAvxMKMyT1DDkn6jHsc1mk81mq3Ep/fr1U79+/Rzvk5OTtWHDBr322muEfA/itWPyV61apREjRpywW73FYtGIESO0cuXK0x7HZrMpPDy80stVXfWrKzm5iebP/06NGzfSK6+8rvvvf9jskpymcbNEfTT7//TmF08qJLRyr4kO57XQp3Mn6OUPHjGpOufZs2ev+vS+Uhs3btaQ227S22+/UmuuLzjf3j1p6n/Jzdq0aZtuHXyNpr75LP/ekCTZ6iXorMkTZEuIV9oX32r7ZO+5YXsqAQn1lDTh5bKA/+0X2j/1JbNLcgu/uAaq+8TbZQF/zsfKfm+C2SW5haVuQ4Xe+2lZwP9lmgq+GGt2SU5jiWqmgBtnK+CaL6SA0Mrr6p2ngJvnyv9K73uiwPZD/rp5Wpzu/DhGuUWVf5+t3B2oG9+N10Ofx4j72admMew1ek2YMEERERGVXhMmOP/nSVZWlqKjo0+/IWoNrw35CQkJWrp06UnXL126VPHx8W6syPnee+8NNWyYpJdffk0PPvio2eU4VdqeQ9qwZrvOveBsvfXlPxVaJ1iS1KFLS7395VjVCQ/Rr3NXmlukk+zdu099el+pDRs265Zbr9cddzDjsDfbtzdd/S+5WRs3btVNN1+l24b6zszaOLmmTzwsW3yc0j7/Rjteft3sctwmcdSTCoiNV8Y3n2v/G5PNLsdtIu/6t/zqJir3x4+U/f5/zC7HbYJveknWqPoq/PldFXz5lNnlOJWRs0fGgTWyJl2ggGu/lALrSJKs9boo4NovZbGFy759rslVOl98eKlaxBdr+c4g3flRrCPor9wdqGEfxiq3yKoLkgvE/WzXGDNmjLKysiq9xoypXi+y09m8ebOmTJmiO++806nHhWt5bXf9hx9+WMOHD9fy5cvVu3dvR6BPT0/X3Llz9eabb3p8l5PBg+/UDTdco3/9a6LZpThdQX6R7rpugv77yWh1691BnVLOkiSNeupm2e12PfXQ6/r47R9NrtJ59u1LU5/eV+i++4fr7bffN7scuFjavv3qf8nNuvveWzXtHd95RjZObsv/TVJM757a894nZpfiVvte+LfCe/bRoU+mm12KW2VOfVLBKf115Os3zC7FrfI/GqGAjleqaPbLZpfifCX5Kv7iOgX84xNZm/SWlCJJ8u/5lAzDruLZD8m+8m1za3SB4ABD/x10UPd9FqNFW4OkXWXdxF+aHymLDI3tf1jXd841uUoPUMPu+tXpmj969Gj95z+nvqm4bt06tWp1dOLUPXv2qF+/frr22ms1bBiP6/YkFsOLB4R++umnevHFF7V8+XLHM7b9/PzUqVMnjRw5Utddd12Njuvn55mTAp2pZiG93f6ZgbYA/ffj0ep+8TmSJLvdrvEj3tAn78x2Ww1b8z1vdmtnKCnNNu2zX3vtVd1113D16tVbCxf+7NbPDrU1duvn1Rb9g/qb9tnDXrhOl9zeTeMue1l//brZrZ/9cIetbv282iIyLMfsEkwRHpVldgmmCI3JNLsEU9gSDrn/Q/1sCvjHx7ImXyxJMgy7SuaMkH3lO24rwb+e++crKiyR7v8sRr9uKet5aZGhf16aoes7uS/g+93suY8gLv7lrBrtF9B9XZW3PXDggA4dOvX/E8nJyY4Z9Pfu3atevXrp/PPP17Rp02S1em0HcK/ktS35kjRo0CANGjRIxcXFOnjwoKSy2ecDAgJMrgxVVVRYrHtueFavfPioul98jsY99Lo+e5dHiAEAgFqotFDFX94g/4Efypp8sUpmPyT7Ku+ZXPBkbP7SlOsO6oEZMfp1c5DGDcjQdR1pwa8yNzxCLzY2tkqPD5fKWvAvvPBCderUSe+++y4B3wN5dUu+q9CS735Wq1V1woOVnen+Xxi05PsWWvJ9Cy35voWWfN9iSkt+BYtVCgyXCjPd/tFmtORXKLVLRwotigh2f7zw5Jb8kvnNarSf/4XO7/22Z88e9erVS40aNdL06dPl53f00QgJCQlO/zy4hle35MN72O12UwI+AABAtRl2UwK+2fysMiXgezw3tORX1Zw5c7R582Zt3rxZDRpUfmw4bcOeg74XAAAAAGAWu71mLxcYMmSIDMM44Queg5Z8AAAAADBLLWrJh3cg5AMAAACAWWr4CD3gZAj5AAAAAGASCy35cDJCPgAAAACYhZAPJyPkAwAAAIBZCPlwMmbXBwAAAADAS9CSDwAAAABmoSUfTkbIBwAAAACz2HkGPZyLkA8AAAAAZqElH05GyAcAAAAAsxDy4WSEfAAAAAAwC9314WSEfAAAAAAwi0FLPpyLkA8AAAAAZqElH05GyAcAAAAAsxDy4WSEfAAAAAAwCyEfTkbIBwAAAACTMCQfzmY1uwAAAAAAAOActOQDAAAAgFnorg8nI+QDAAAAgFnorg8nI+QDAAAAgFkI+XAyQj4AAAAAmIXe+nAyQj4AAAAAmMSwW8wuAV6GkA8AAAAAZqG7PpyMkA8AAAAAZqElH05GyAcAAAAAk9BdH85GyK8BP2uw2SWYopnqmV2CKdrXucnsEkzRMtzsCswRGVhidgmmiAjMN7sEU6RlR5pdgilmbW9idgmm6Ntou9klmKJlWK7ZJZjCP8nsCsxhb9zM7BJM4Wd2AWeilob8wsJCdenSRatWrdKKFSvUoUMHs0tCFVnNLgAAAAAAfJZhqdnLxR599FHVq+ebjXyejpAPAAAAACYx7JYavVzphx9+0OzZs/X888+79HPgGnTXBwAAAAAPU1hYqMLCwkrLbDabbDbbGR03PT1dw4YN01dffaWQkJAzOhbMQUs+AAAAAJjFbq3Ra8KECYqIiKj0mjBhwhmVYhiGhgwZorvuukudO3d20gnC3Qj5AAAAAGAWu6VGrzFjxigrK6vSa8yYMSf8iNGjR8tisZzytX79ek2ZMkU5OTknPQ48A931AQAAAMAkRg0n0QuqRtf8UaNGaciQIafcJjk5WfPmzVNqaupxx+3cubNuuukmTZ8+vUa1wr0I+QAAAABgFrvrO1fHxsYqNjb2tNu9/PLL+te//uV4v3fvXvXt21effvqpunTp4soS4USEfAAAAAAwiatnyq+Ohg0bVnpfp04dSVLTpk3VoEEDM0pCDRDyAQAAAMAstSjkwzsQ8gEAAADAJDUdk+8OjRs3lmEYZpeBaiLkAwAAAIBZ3DAmH76FkA8AAAAAJqlNY/LhHQj5AAAAAGCS2txdH56JkA8AAAAAZqG7PpyMKwoAAAAAAC9BSz4AAAAAmIQx+XA2Qj4AAAAAmIQx+XA2Qj4AAAAAmIUx+XAyQj4AAAAAmITu+nA2Qj4AAAAAmITu+nA2Qj4AAAAAmIXu+nAyQj4AAAAAmITu+nA2Qj4AAAAAmITu+nA2Qj4AAAAAmISWfDgbA0A8jL+/v+LjY80uAwBwhiz+frLVjTC7DLiJxc9PAdGRZpfhflZ/WcJjzK4CblJSaqiwyJDdbphdikcxDGuNXsDJcHV4kKCgIH078yPt2v2n7rl3qNnlAABqyGoLUMqUR9RvzqtqMuhis8uBi1kCA9Vq4lPq9OX7ir/qMrPLcZ8Am+rc+5YiJ6TK1vMWs6uBG/z7/RJ1Gl6kZRsI+YCZ6K7vIYKDg/XV1+/rwgu7SZJeeunfslotemXKWyZXBgCoDr+gQHWZPEqx554tSWr32GBZrFZt/fhHkyuDK1htNrV89p+K6NhektTkwTtlsViU9r9vTa7MxQKCVOfuNxTQMkWSFHLdWMliVeGC6SYXBtRCdNeHkxHyPUBISIi+/uYD9ezZVXa7XVarVXa7XS+88C9ZLBZNeflNs0sEAFSBX5BN57/8sGI6nyXDbpfFapVht6vtI7dIFmnrRwR9b2INsqnVs+MUfk7bSv/ejR8YLlksSvv8G7NLdI3AYNW5+00FtOhS6bxDrn1SslhUOH+a2RUCtQoT78HZ6K5fy4WGhujbmR+qZ8+umj//V3300f8kSWNGP6OMjExNmvSMHnzoTpOrBACcjl+wTee/8ohiOp+lA7+v1e7vf5MkrZ38iYqyc9X24VvU9Kb+JlcJZ7EGB6nVxKcUfk5bZf2xSgfnLJAk7Zw6TSU5R9T4/mFKuO5Kc4t0BVuI6tz7tgJadFHxhlQV/f61JCn/q4my52Up5JonZLvoNpOLBGoXw26p0Qs4GUJ+LZeQEKdmzZI1d+7PGnjlLcrLy5MkLV++Sv37D1JGRqbO79LZ5Crdq05UiLpf1dHsMtwuNDJEKf84x+wy3C44IkRtLve98w6KCFHLSzuZXYbb2SJClNzPO3+mBcVEqk5Sgg4sWaMlD05SSUGRJCnzr21KvftZFWXnKqpdM5OrdC7/oAC1v/o8s8swRUB0lIIa1FPWspXaMPoZ2QsKJUm5GzZp3ah/qiTniMLObmVylc5nDY+RX2wjFa//TUdeGy4VFUiSSnf+qSNThsielyX/Jr71Mz0zz6If1gSZXQZqMSbeg7PRXb+W27Jlu3r2uFxpaftVUFBQad0fy1ep2wWXauvWHSZVZ44nPxqms7s2VXh0qL576xezy3GbRz68Q61SkhUWHarZb/9qdjluc8Obd6jReckKiQzV0vd957yveO1ONejcVEFRoVr14c9ml+M2fV6+RwmdmssWWUfrPllgdjlOlbsrXb/cNl4FhzJlLyyutC5z3Tb9fOs45e3Zb1J1zhcQHKgb3rlTTVJayGK1aOWMJWaX5FaFe/Zp7T2Pquhwhoyiokrrcjds1pq7RqlgX5pJ1bmO/cBO5UwaJHv2Aam4sNK60p1rlPPcNbIf3GVSdeZ44NNoLd8RqMy8LN1wXp7Z5aAWolUezsYtIA+wffvO4wJ+hU2btqq0tNTNFZlr+vhvVXCkUPe8OEiXDe9hdjlu8/HT36rgSJHumHSd+g7rbnY5bvPTxG9VlFuky/99nboM9p3z/vX5r1WUV6g+469Xh1t6ml2O2yx76UsV5xXqgrE3qfWNF5pdjtPl7T1wXMCvkLszTUap3c0VuUZAcKBufPcuNUlpoe1LNmntzBVml2SKwrT04wJ+hYLdeyUv+ff+O/uh3ccFfMe6/dslu2/93fJQ7xyFBBp65vtIfbgkxOxyUAsZhqVGL+BkCPnwOOsWb9U///Ff5Wbl6+5J1+nyO30jAG1Ysk3/vvq/ysvK19DnrlU/H7nBsXPZNr13y39VkJ2vy565Vl2G+MZ57/1jq/532ysqzMlX73GDdM4tvcwuyS3SV2zRrGEvqSgnT12fvFGtb7rI7JJQTQEhgbpx2l1qfH5zbVu0UR8Ofk3F+ScOuoAv6NiwSG/eckh1bHb9+4dIfbAk1OySUMsQ8uFsdNc/jcLCQhUWVr4bbRiGLBb+x3Kmka/fohadG1VrH8Ne9gzWu56/VtmHc7VwxjJXlOZS9069Wc06Vu+87UbZed8+8RrlHM7Vb58vd0VpLnX1izerfvtq/nuXn/dlT1+j/Ixcrf7a886733ODldiuZtf5ReOuU37mEa3/1vOu854Tblds28bV2qfivLs+cYMKM49oy3dLXVAZXGHQ1DvUuEtzSVJUw7q687vHqrX/3InfaP2Pq11RGuA0o7+I1J97Aqq1j7X8T8f/+yFCkcF2XdYu3wWVwRPRXR/O5tMhf9euXRo3bpzeeeedk24zYcIEjR8/vtIyqyVUfn51XF2eT4lNilZSi4Qa7x8R45n/HjENolS/RXyN9w/30POOqBel2GY1P++Qup553uH1ohTdtObXeXB0mBOrcZ86idGKTE6s8f5BUZ553r7q2P8/IxvUrfb+trBgZ5YDuMS+LD9tO1S9kH+sjDw60+IoJtGDs/l0yD98+LCmT59+ypA/ZswYjRw5stKyutHNXV2azxlz6eRqbR/fqK4mfPeA4hvV1cw3ftY3ry1wTWEuNv6yKdXaPrZRtMZ9e7/iGtbVj2/+oh+mLnRRZa71zqDqnXdkUrRu/+R+RSXV1ZLpv2jxO5553p/d9FK1tg9vUFfXffCQIhrU1coPFmrF9PmuKczFvhvyfLW2r1M/RgOmjVJY/Rj99dF8rf1grosqgyt8PPQNDf74ftVtEqcVn6Xqm8c+lsp74gDeYvpth6q1/e4MPw2ZVld7s/x1w7m5urlLrosqc7/taXbFRVkUYju+NXrzHrsaxVsU4E9L9anQkg9n8+qQ/80335xy/datW097DJvNJpvNVmkZXfXNldAkRhO+e0BxSdH6dupCTX1khtkluUV84xiN+/Y+xSRF64c3FurdR/9ndkluEdUoRrd/cp8i60dr8bsL9d043zjviIYxuu6DhxReL1or3lugeU9/ZnZJbhGWFKsB00apTmJdrf1wnlL//bHZJaGactIyNf36lzX44wd0znUpsvhZ9fXDHxL04bN2Hi4L+GnZ/rrxvCN68tJss0tymu1pdt3672I1SbTotZGVezas3GzXnc8X67yzrHr5AX/+fj6F2ji+/rvvvtPTTz+t1atXKygoSD179tRXX31ldlmoIq8O+QMHDpTFYnGM5T0RfuB4noffGqy4pGh9/d/5euMx3wh8knT/G7coJila309doGmjvzC7HLe55qVbFFk/WqnvLND3T/nOeV86aYjC60Xrj2nzNf9fvnEjS5J6/Weo6iTW1Zr3f9LiCZ+aXQ5qKCc9S9Oun6zBHz+gDld30e7l27T8o9/MLgswxWNfRCkt2183dzmix/t7T8CXpPgoi1okWbT4L0N3TipWvbplf1ev2mLXWzNLlVsgdT3byt/bHuZ///ufhg0bpv/7v//TRRddpJKSEq1Zs8bsslANXh3yExMT9d///ldXXnnlCdevXLlSnTp1cnNVOFOThk1Xr2s76+P/zDK7FLeacuf76nZtZ/1vom+d9/8eel/tBnbWgsm+dd4/PDxdrS7vrMWv/GB2KW61cPTbajqgi1a8NtPsUnCGjuzP1vTrX1aX23rqj08WmV0OYJpn/5Gh7/4M1j29jphditMF2yx65aEA3T+5WKlrDa3YVNawNvnzUlks0pO3+uv6i/xMrrL2q00t+SUlJXrwwQf13HPPaejQoY7lrVu3NrEqVJdXz/LQqVMnLV9+8hm4T9fKj9pp39aDPhfwJSl920GfC/iSdHjHQZ8L+JKUueOAzwV8ScreeYCA70WOHMjW3InfOp6WAPiiRnVLvTLgVwgKtOiVBwN0QZujQdVikZ68hYBfVYbdUqNXYWGhsrOzK73+/lSw6vrjjz+0Z88eWa1WnXPOOUpMTFT//v1pyfcwXh3yH3nkEXXt2vWk65s1a6b58z1zIisAAACgNrAFWvTyAwHq3s4qi0UaO9hfgwj4VVbx3PvqviZMmKCIiIhKrwkTJpxRLRVzlj311FN68sknNXPmTEVFRalXr146fPiwM04XbmAxaMqutsCAmj8Cy5NdHHSN2SWYItTPq++FnVTLcLMrMEdkYInZJZgiIrDY7BJMERvkm8+pXnk4yuwSTNG30XazSzBFyzbrzS7BFOHd0swuwRT2xk1M++xSu6Ej+VJEqPu7nwekrHb7ZzrL1qsuqNF+9T+ed1zL/YkmDZek0aNH6z//+c8pj7du3Tr98ccfuummm/T6669r+PDhkqTCwkI1aNBA//rXv3TnnXfWqFa4l1ePyQcAAADgHn5WiyJCza7C89hrOCb/ZIH+REaNGqUhQ4accpvk5GTt27dPUuUx+DabTcnJydq5c2eN6oT7EfIBAAAAwCSG3fU9H2JjYxUbG3va7Tp16iSbzaYNGzaoW7dukqTi4mJt375djRo1cnWZcBJCPgAAAACYpDbNrh8eHq677rpL48aNU1JSkho1aqTnnntOknTttdeaXB2qipAPAAAAACapTSFfkp577jn5+/vrlltuUX5+vrp06aJ58+YpKso353PxRIR8AAAAADBJbQv5AQEBev755/X888+bXQpqiJAPAAAAACaxG775JCe4DiEfAAAAAEzijon34Fu4bQQAAAAAgJegJR8AAAAATFLbxuTD8xHyAQAAAMAkhHw4GyEfAAAAAExiJ+TDyQj5AAAAAGASWvLhbIR8AAAAADAJIR/ORsgHAAAAAJPQXR/ORsgHAAAAAJPQkg9nI+QDAAAAgEkI+XA2Qj4AAAAAmITu+nA2Qj4AAAAAmISWfDib1ewCAAAAAACAc9CSDwAAAAAmoSUfzkbIBwAAAACTMCYfzkbIBwAAAACT0JIPZyPkAwAAAIBJaMmHsxHyAQAAAMAkhgj5cC5CPgAAAACYhO76cDZCPgAAAACYhO76cDZCPgAAAACYhJZ8OBshvwbCAuubXYIplhpLzC7BFPkFmWaXYIrPs3aYXYIphsfdbXYJpsguCjC7BFM0qhNsdgmmePrhN80uwRSWQLvZJZiicMBAs0swhX3HarNLMEVB8vlml2AKT/4tRks+nI2QDwAAAAAmoSUfzkbIBwAAAACT2JldH05mNbsAAAAAAADgHIR8AAAAADCJYVhq9HKVjRs36sorr1RMTIzCw8PVrVs3zZ8/32WfB+cj5AMAAACASeyGpUYvV7nssstUUlKiefPmafny5Wrfvr0uu+wypaWluewz4VyEfAAAAAAwSW1qyT948KA2bdqk0aNHq127dmrevLmeffZZ5eXlac2aNS75TDgfE+8BAAAAgElq+nDPwsJCFRYWVlpms9lks9lqXEvdunXVsmVLvffee+rYsaNsNptef/11xcXFqVOnTjU+LtyLlnwAAAAAMElNW/InTJigiIiISq8JEyacUS0Wi0U//fSTVqxYobCwMAUFBemFF17QrFmzFBUV5aQzhqsR8gEAAADAJDUdkz9mzBhlZWVVeo0ZM+aEnzF69GhZLJZTvtavXy/DMHTvvfcqLi5Ov/zyi5YuXaqBAwfq8ssv1759+9z8XwY1RXd9AAAAADCJoZqNr69O1/xRo0ZpyJAhp9wmOTlZ8+bN08yZM5WRkaHw8HBJ0n//+1/NmTNH06dP1+jRo2tUK9yLkA8AAAAAJnHlTPkVYmNjFRsbe9rt8vLyJElWa+UO31arVXZ7TWcPgLvRXR8AAAAATGI3avZyhZSUFEVFRWnw4MFatWqVNm7cqEceeUTbtm3TgAEDXPOhcDpCPgAAAACYxJClRi9XiImJ0axZs3TkyBFddNFF6ty5s3799Vd9/fXXat++vUs+E85Hd30AAAAAMIk7uutXR+fOnfXjjz+aXQbOAC35AAAAAAB4CVryAQAAAMAkhovG18N3EfIBAAAAwCR2F42vh+8i5AMAAACASYxaNiYfno+QDwAAAAAmqW0T78HzEfIBAAAAwCQMyYezEfIBAAAAwCS05MPZCPkAAAAAYBK72QXA6xDyAQAAAMAkTLwHZyPkAwAAAIBJ6K4PZ7OaXQCqx9/fX3Hxdc0uw+38/f0UF+d75w3fYvW3Kjw2zOwy4CZWf6vq+OK/t9VfCok3uwq3Ky6VDuT6mV2G2xWXGDp4uNjsMuAmJSWGCgvtstuZSq46jBq+gJMh5HuQoCCbPvvqZa3bOlvD7hpkdjluExRk0ydfvqy1W2fpjruuM7scwCUCggJ0/8d3aeKaf6nX0O5mlwMX8w8K0G3v3a0n/vi3Uob0MLsc9/ELkt+VXytg2HZZ299tdjVuU1Bi0V1fxavXm0n6cKXv3NgpKLTr/se36JJBa/XJVwfMLgduMPGlTbrg4l/0x6oss0sBfBrd9T1EcHCQPv7fS+re81xJ0rOTHpXFatUb//3Y5MpcKzjYpg8/f9Fx3hOef0RWq1Vv/PcTkysDnCcgOED3fjBcrbq1kCRd/3/XyGq1at6bC02uDK4QEBSgwdPuVNMLyv69r3jmGlmsFi16x8v/vf2D5XfFF7Im9ZIk+fV6QbJYZV/5qrl1uVh+sUX3fB2npbuDJUn/t6Cu7IZ0yzk5JlfmWvkFdj34z61atvKIJGniq3tkt0s3XhVrcmVA7UN3fTgbId8DhIQE6eP/TVa3Hp1lt9tltVplt9s14bmHZbFIr7/qnUE/JCRIH/3vJV3QvVOl8/73xFGyyKLXvfwGB3xDYEig7vtguFpc0LzSdX7dv66SLNK8N7w8+PmYgOBADZl+p5JTKv97Xz7+alksFv329gKzS3QN/xD5XfmlrA16yDDsslisMgy7/Ho+L8ki+8pXzK7QJfKKLbrnq3j9vidIFhkyZJFFhp5dWFeGYdGtHbPNLtEl8vNL9cCTW7V8da4sFskwJItFev61PTJk6Kar4swuEahVmF0fzkZ3/VouNDRYn345Rd16dNYvC3/XjE++lyQ99eTLyszI1v9NfFh333+TyVU6X2hosD75crIu6N6p/Lx/kCSNf3KKMjOy9a+JI3XXfTeaXCVwZmwhgbr/ozvV4oLmWv/rRi39fJkk6cunv1FuZp6ue+Yq9b6zl7lFwmkCQwJ12/t3KTmlubb8tlErvyj79571f98oPzNPlz11lboNu/D/27vz8KiqfN3jbyWYykASpkwMCQRQQAZBBMMgYbjh0hxEbVERNBDUvtzYMklDFIiAEJC224nGRm1QEYEHBQVFREBsW2QOMsgkQxAIkSEJEBKkap8/OMYTGROraiVV3w/Peh5q79pV77JI3L9aa69tOKUb3BQi/3s+kl/tu+Q8/KWsXZe+oHV+/ayswtPy7zRNfi2fMpvRDc5duDRFf8ORQLWpfV69Gp+TJI3oeFphdoemflVNszeHGU7pegXnHXry2UsFfuvbKusPXatKkoY8XlOhlf314oyjmrMwx3BKoHyxLFuZGnA1FPnlXGRUdcU3iNWa1evU949DVVBQKEnK3LxTf+z1/5V7Ol93tGluOKXrRUZVV3z9WK1ZvV797h+m8+f/p99bdur+u5+81O+2zQyndK2goEA93P9e0zE8LigoSI8++ojpGEaERYYpMj5C33+1W9P7z9SF85cWpzq09bBefuAfOpdboPjWdc2GdLGAoJvU8aE7TMcwIjQyTNXrRmjfv3fr7QH/1M/nL0iSftyapbf6Tdf53ALFtqprNqQ7BEfJVqW+nFmr5Pj4PlkXCyRJ1vFNciz6L1mFp2WLaWs4pOudKPDXodOVdGed8/pH7xwFVrq0TNatkRf0xn3HFWZ3aOsxuywvWz3rxKmLOnykSG1aVtbLE+MVaL90qtnk5iDNmFJfoZX99d3Oc7K8rePXkHfW0rL1vtNflJ6zjA24Gqbrl3MH9v+oHl0GKuf4SRUWFpXYl7nleyUlJuvggSOG0rnPgf0/6g9dB12x31u3fK/unQfqkBf1Ozg4SAsXzdRdne6Un5+f5rzzgelIHhEcHKwlSxerc+dE+fnZNHv2O6YjedRPB0/ohf96Sfk5Z/RzYcnVp7O2HtbUHn/TiUMnDaVzPXtwgJ6e94Ru7dhQfn5+WjN3nelIHnXy4Am9fu/fdeanM7r4m8/7yHeH9Y+7X9SpLO/5vIvl7dfFBZ2lc8clR2GJXVbOZl2cf5eUd8BQOPeJq3JR7z2YrRohjuIC/xdNoy7o/YeOqXb4Rdm8bDAutpZds15qqOrVbiou8H/R5JZgvfNqQ9WKscvmbR2/hiH/sLRpr5R3Tnqos+/0GzeOUXm4GkV+BZB16OhV9/2wL8uDSTzrWv3e70X9Dg4O0geL31DHu9rq63+v14cLPzUdySOCg4O19JOPlJjYSWvWfKUFCxaajmTEyaxTV92Xs997VqO2Bwdo5Pwn1KRDQ33/n336dvEW05GMOH346p/3iQPe83lfJv/Q1ffl7vNcDg+rHX7xqvvqVr36voquVoz9qvviagd6MEn58NS9Ng1+2dLz71lyWtLDXSjoUBJ3HISrMV0fMCgkJFgffvSmOt7VVmu+XKt77x6kgoLzpmO5XUhIiD759GMlJnbSqlWr9YcevVRQUGA6FtzEHhKgvyz4k5p0aKgdX+3R1D6vq6jggulYAOARrRra9M9hNlUOkibPtfTeSio6lGSVsQFXw0j+dRQVFamoqOR08V9WBgZ+r7nzp6tDxzaSpLr16ug/3y4u1fHpY1/Uko9XuCGZe33w4QJ16nTp3uDx8fW0afP6Uh3/TNoYLV78kTuiwQ2GvTNIjds3kCRF1q2uyV+OLNXx8yYs1cZPvnNHNAAok7S3nNpeyqtM/P5nAD/jfUtVKks92zKij0u4hR5czeuL/PPnz2vTpk2qVq2amjRpUmJfYWGhFixYoEcfffSqx2dkZGj8+PEltgVWilZwQE235IVvqVGjWvHf4+Jql/r4sPBQV8bxmIiIX++TXLdu3VIfHx7ufStSe7OwGpWL/x4RW73UxweH+d70XgDl27GT0oHssh9/6ozrsqDiYxE9uJpXF/l79uxRUlKSsrKyZLPZ1KFDB82bN08xMTGSpLy8PA0cOPCaRX5aWpqGDx9eYlvd6E5uzQ3f0eePf9Kny99VgwZ19c7bC5X6/57xiRWH7+51r1at/lwNGzbUrH/N1mOP/ckn+u2r/tp3psZ8/GdF14/Ql3O+1RtPzePzBlChzf5L6WZ0/viTpZS/Wjp6Unqos9S/q5uCGXDocIEia9gVFOR/2b4fDpxTXJ0gVarEDNhrYeE9uJpX/8SNGjVKTZs2VU5Ojnbv3q3Q0FC1b99eWVk3vmib3W5XWFhYicZUfbjK0SPZ6pHUX3v3HtCjyffr9Tem+MSKw0eOHFHnxP+jPXv2amDKAP1r1ps+0W9fdeponib2elXH9uUosf+d+tP0h/m8AfiMrBxLA6ZdKvAf7iKN6efnNb8DDx0u0GOpmXpq5DYVFDhK7Ptue55SBm/RX8bu5Ivd6+AWenA1r65Wv/nmG2VkZKhGjRpq0KCBlixZou7du6tjx47av3+/6XiAJOnY0ePqkdRfe/bsV7/+92ngoAdNR/KIo0ePqnNiN+3evUfJyY/o8ccHmY4ENzp97FKhf3Tvcd3Vt406JyeYjgQAHpH2pqXsU1K/rtIzD3vXqXdUhF0N64doy3d5+vPI74oL/W078vXnp7fpXIFDd95R1Wu+1AAqCu/6TfMb58+fV6VKv16RYLPZNGPGDPXq1UudOnXSnj17DKYDfpV9LEc9kvrrr9Ne1+x/LTAdx2OOHTumzondNCXjBb355r9Mx4Gb5Wbn6/ler+mjv6/Q6nfWmo4DAB6RMcim1N42pfX1vtPuwEB//W1KU7VtXVVbt+Xrsy9yJEnTZx5QwXmHRg9vqAfuq2U4ZflnWWVrwNV432+b/6VRo0bauHHjZdtfe+019e7dW3fffbeBVMCVHc/+Sc+NfVFOp29NwMrOztYzz4zxuX77qtzj+Zo/YaksbgoMwEfERtk0uJf3jmQH2v31t4ymSmhTtXibzSaNGt5Q99/DQtU3wilbmRpwNV5d5N977716//33r7jvtddeU9++fblGCAAAAPgd7HY//XVSU7VrW002m5Q2oqHu702Bf6OcVtmau0yaNEnt2rVTcHCwqlSpcsXnZGVlqWfPngoODlZkZKRGjhypixcvui8USsVmUeWWWvWQ201HMMLPRxccPH8x13QEIwqKDpmOYMQTkYNNRzAi/4LpBGbEVfbN/wVOePoN0xGMsAX45oyhop73mI5gRMCh70xHMKLw5o7G3tvhsHSu4KLCQm/y+HuHRs30+Hu6ynNxfy7bcYdedXGSS9LT01WlShX9+OOPeuutt5Sbm1tiv8Ph0G233abo6GhNmzZNx44d06OPPqrHH39ckydPdksmlI5X30IPAAAAgGf4+9uMFPgVXVmn3hcVFamoqKjENrvdLrvd/rvyjB8/XpI0e/bsK+7//PPPtXPnTn3xxReKiorSbbfdpokTJ2rUqFF67rnnFBAQ8LveH7+fbw7NAgAAAEA5UNaF9zIyMhQeHl6iZWRkuD3v2rVr1axZM0VFRRVv6969u/Lz87Vjxw63vz+uj5F8AAAAADCkrBcSjUlL0/Dhw0ts+72j+DciOzu7RIEvqfhxdna2298f18dIPgAAAAAYUtaF9+x2u8LCwkq0qxX5o0ePls1mu2bbtWuXh3sOd2EkHwAAAAAM8cQSsCNGjNCAAQOu+Zz4+Pgbeq3o6GitX7++xLbjx48X74N5FPkAAAAAYIjTcv897yMiIhQREeGS10pISNCkSZOUk5OjyMhISdKKFSsUFhamJk2auOQ98PtQ5AMAAACAIeXthuZZWVk6deqUsrKy5HA4lJmZKUlq0KCBKleurKSkJDVp0kSPPPKIXnjhBWVnZ2vMmDFKTU31yJoAuD6KfAAAAACAJGncuHF6++23ix+3bNlSkrR69WolJibK399fS5cu1eDBg5WQkKCQkBAlJydrwoQJpiLjNyjyAQAAAMCQsq6u7y6zZ8/W7Nmzr/mcuLg4ffrpp54JhFKjyAcAAAAAQ8rbdH1UfBT5AAAAAGBIeRvJR8VHkQ8AAAAAhjgZyYeLUeQDAAAAgCHU+HA1inwAAAAAMISRfLgaRT4AAAAAGMLCe3A1inwAAAAAMISF9+BqFPkAAAAAYAjT9eFqFPkAAAAAYAg1PlzNz3QAAAAAAADgGozkAwAAAIAhTNeHq1HkAwAAAIAhrK4PV6PIBwAAAABDWF0frkaRDwAAAACGMF0frkaRDwAAAACGUOPD1SjyAQAAAMAQRvLhahT5AAAAAGAIC+/B1SjyAQAAAMAQFt6Dq1Hkl0Hu+V2mIxhxwTnTdAQAgEu0NR0AHhRoOoApsXebTmBEsOkAKDUnQ/lwMYp8AAAAADCEEh+uRpEPAAAAAIaw8B5czc90AAAAAAAA4BqM5AMAAACAIRYT9uFiFPkAAAAAYAjT9eFqFPkAAAAAYAi30IOrUeQDAAAAgCEWt9CDi7HwHgAAAAAY4ixjc5dJkyapXbt2Cg4OVpUqVS7bv3XrVvXt21d16tRRUFCQGjdurJdfftmNiVBajOQDAAAAgCHlbST/woUL6tOnjxISEvTWW29dtn/Tpk2KjIzUnDlzVKdOHX3zzTd64okn5O/vryeffNJAYvwWRT4AAAAAGFLWUfmioiIVFRWV2Ga322W3239XnvHjx0uSZs+efcX9KSkpJR7Hx8dr7dq1+vDDDynyywmm6wMAAACAIU7LKlPLyMhQeHh4iZaRkWGkD3l5eapWrZqR98blGMkHAAAAAEMslW26flpamoYPH15i2+8dxS+Lb775RvPnz9cnn3zi8ffGlTGSDwAAAACGlHXhPbvdrrCwsBLtakX+6NGjZbPZrtl27dpV6uzbt29X7969lZ6erqSkpNJ3Hm7BSD4AAAAAGOIs40h+aYwYMUIDBgy45nPi4+NL9Zo7d+5U165d9cQTT2jMmDG/Ix1cjSIfAAAAALxYRESEIiIiXPZ6O3bsUJcuXZScnKxJkya57HXhGhT5AAAAAGCIs5zdQi8rK0unTp1SVlaWHA6HMjMzJUkNGjRQ5cqVtX37dnXp0kXdu3fX8OHDlZ2dLUny9/d36RcJKDuKfAAAAAAwpKwL77nLuHHj9Pbbbxc/btmypSRp9erVSkxM1MKFC/XTTz9pzpw5mjNnTvHz4uLidPDgQU/HxRXYLKucfXVUAfj7hZiOYMQF50zTEQAAAIDL+Kuf6Qhl1iH48TId93XBGy5OAm/BSD4AAAAAGOKJhffgWyjyAQAAAMCQ8jZdHxUfRT4AAAAAGMJIPlyNIh8AAAAADHHanKYjwMtQ5AMAAACAIYzkw9Uo8gEAAADAEEuM5MO1/EwHQOlUqlRJUVFRpmMAAAAAcAGnrDI14GoYya9AAgMD9dHHC9WtW2c99dQITX/tddORAAAA4MPWrzuopUu2afPmwzrx01kVFFxQSGW7YutUVbPmtdSl2y1KSKgnm81mOirgMyjyK4igoCB9vOQDdenSSZL0yisvys/PT6++8g/DyQAAAOBrTp8q0F9Gfqj/fL1fkhQVFaqWreqocmW7zp4t0t69OZr73gbNfW+DGjeJ1geLnjCcuPxi4T24GkV+BRAcHKwlSz9QYuJdcjqd8vPzk9Pp1EsvTZPNZtMrL083HREAAAA+Ij+/UP0fnqUDB04qPr6Gxqb3UNs76132vL17cvT27G+17NMdBlJWHE6uyYeLcU1+ORcSEqJPPl2kxMS7tGrVGr03Z54kadSoMTp9+rT+/vcXNHTYnw2nBAAAgK+YNHGZDhw4qTp1quq9eQOvWOBLUsObI/X85Ls1651HPZywYnGW8Q9wNRT55Vx0dJQaNmygL75Yrbt7/VEF5wskSZs2blb3pF46ffq0Eu5sYzglAAAAfEFW1il9snS7JGlUWpLCw4Oue0zz5rXcHatCK9uyexT5uDqm65dzP/ywXx3ad1F29nEVFhaW2Ldp0xYl3Jmo/fsPGEoHAAAAX7Jm9V45nZbCwgOV2Plm03G8Atfkw9Uo8iuAgwcPXXXf3r37PJgEAAAAvmzHjmOSpCZNYuTnx4r5rsDUe7gaRT4AAACAG3L69KVLR6tVC77i/l27svXO7HWXbf/j/S11e+tYt2arqCw5TEeAl6HIv46ioiIVFRWV2GZZFvf6BAAAAH4j+1i+Fi/aetn2O9rEUeRfBSP5cDWvX3jv+++/16xZs7Rr1y5J0q5duzR48GClpKRo1apV1z0+IyND4eHhJZqln90dGwAAACh3qla9NIJ/6lTBFfcndr5ZO3ePK253Jlx55X38itX14WpeXeR/9tlnuu222/T000+rZcuW+uyzz3TXXXdp3759OnTokJKSkq5b6KelpSkvL69Es+kmD/UAAAAAKD+aNImWJO3ceUxOp2U4jXew5ChTA67Gq4v8CRMmaOTIkTp58qRmzZqlhx9+WI8//rhWrFihlStXauTIkZoyZco1X8NutyssLKxEY6o+AAAAfFGnzjfLz8+m/LxCfbVmr+k4XoGRfLiaVxf5O3bs0IABAyRJDzzwgM6cOaP777+/eH+/fv303XffGUoHAAAAVCxxcdXU4w+3SpKmTvlcZ84UXucIAJ7m1UW+pOJRdz8/PwUGBio8PLx4X2hoqPLy8kxFAwAAACqcMeN6KDaumg4dPKWHH5qlDesPXvF5R37M1fHsfM+Gq4AsOcvUgKvx6tX169atq71796p+/fqSpLVr1yo29tdVPbOyshQTE2MqHgAAAFDhhIcH6b33B2rkiA/17doDSn7kHUVHh6lR4yiFhgaqqOiiDh08pT17jsuypJtvjlTTpjVNxy63nFxfDxfz6iJ/8ODBcjh+/aFp2rRpif3Lli1Tly5dPB0LAAAAqNCqVw/Rv2Y/orVr9+uTJdu1ZfNhbdyQpcLCnxUcEqDatauqzwO3K+n/Ntadd9aTnx9rWl0No/JwNZtlWSyLWUr+fiGmIxhxwTnTdAQAAADgMv7qZzpCmUVVblem446f/cbFSeAtvHokHwAAAADKM0by4Wpev/AeAAAAAJRXv9z3vrTNXSZNmqR27dopODhYVapUueZzT548qdq1a8tmsyk3N9dtmVA6FPkAAAAAYIjTcpapucuFCxfUp08fDR48+LrPHTRokJo3b+62LCgbinwAAAAAMKS83UJv/PjxGjZsmJo1a3bN582YMUO5ubl6+umn3ZYFZcM1+QAAAABgiGWVbep9UVGRioqKSmyz2+2y2+2uiHVNO3fu1IQJE7Ru3Trt37/f7e+H0mEkHwAAAAAMcZbxT0ZGhsLDw0u0jIwMt+ctKipS3759NW3aNMXGxrr9/VB6FPkAAAAAYIhlOcvU0tLSlJeXV6KlpaVd8T1Gjx4tm812zbZr164bypuWlqbGjRurf//+rvzPABdiuj4AAAAAVDClmZo/YsQIDRgw4JrPiY+Pv6HXWrVqlbZt26aFCxdKkizLkiTVqFFDzz77rMaPH39DrwP3ocgHAAAAAEPceTu8X0RERCgiIsIlr/XBBx/o/PnzxY83bNiglJQU/fvf/1b9+vVd8h74fSjyAQAAAMAQy423wyuLrKwsnTp1SllZWXI4HMrMzJQkNWjQQJUrV76skD9x4oQkqXHjxqpSpYqH0+JKKPIBAAAAwBB33g6vLMaNG6e33367+HHLli0lSatXr1ZiYqKhVCgNm/XLRRS4Yf5+IaYjGHHBOdN0BAAAAOAy/upnOkKZBdvrlum4gqKDLs0B78FIPgAAAAAYUt6m66Pio8gHAAAAAEPK23R9VHwU+QAAAABgCCP5cDWKfAAAAAAwhJF8uBpFPgAAAAAYYlkO0xHgZSjyAQAAAMAYRvLhWn6mAwAAAAAAANdgJB8AAAAADGHhPbgaRT4AAAAAGMLCe3A1inwAAAAAMIYiH65FkQ8AAAAApjBdHy5GkQ8AAAAAhjBdH65GkQ8AAAAAxlDkw7Uo8gEAAADAFMsynQBehiIfAAAAAAyxRJEPF7NQYRQWFlrp6elWYWGh6SgeRb/pty+g3/TbF9Bv+u0L6Ldv9Rsoj2yWxfyQiiI/P1/h4eHKy8tTWFiY6TgeQ7/pty+g3/TbF9Bv+u0L6Ldv9Rsoj/xMBwAAAAAAAK5BkQ8AAAAAgJegyAcAAAAAwEtQ5Fcgdrtd6enpstvtpqN4FP2m376AftNvX0C/6bcvoN++1W+gPGLhPQAAAAAAvAQj+QAAAAAAeAmKfAAAAAAAvARFPgAAAAAAXoIiHwAAAAAAL0GRDwAAAACAl6DIr0CmT5+uunXrKjAwUG3bttX69etNR3Krr776Sr169VLNmjVls9m0ePFi05E8IiMjQ3fccYdCQ0MVGRmpe+65R7t37zYdy+1mzJih5s2bKywsTGFhYUpISNCyZctMx/K4KVOmyGazaejQoaajuNVzzz0nm81WojVq1Mh0LI84cuSI+vfvr+rVqysoKEjNmjXTxo0bTcdyq7p16172edtsNqWmppqO5lYOh0Njx45VvXr1FBQUpPr162vixInyhRsbnTlzRkOHDlVcXJyCgoLUrl07bdiwwXQsl7reeYplWRo3bpxiYmIUFBSkbt26ae/evWbCutD1+v3hhx8qKSlJ1atXl81mU2ZmppGcgC+jyK8g5s+fr+HDhys9PV2bN29WixYt1L17d+Xk5JiO5jbnzp1TixYtNH36dNNRPGrNmjVKTU3Vt99+qxUrVujnn39WUlKSzp07ZzqaW9WuXVtTpkzRpk2btHHjRnXp0kW9e/fWjh07TEfzmA0bNuif//ynmjdvbjqKR9x66606duxYcfv6669NR3K706dPq3379rrpppu0bNky7dy5Uy+++KKqVq1qOppbbdiwocRnvWLFCklSnz59DCdzr6lTp2rGjBl67bXX9P3332vq1Kl64YUX9Oqrr5qO5naPPfaYVqxYoXfffVfbtm1TUlKSunXrpiNHjpiO5jLXO0954YUX9Morr+j111/XunXrFBISou7du6uwsNDDSV3rev0+d+6cOnTooKlTp3o4GYBiFiqENm3aWKmpqcWPHQ6HVbNmTSsjI8NgKs+RZC1atMh0DCNycnIsSdaaNWtMR/G4qlWrWm+++abpGB5x5swZq2HDhtaKFSusTp06WUOGDDEdya3S09OtFi1amI7hcaNGjbI6dOhgOoZxQ4YMserXr285nU7TUdyqZ8+eVkpKSolt9913n9WvXz9DiTyjoKDA8vf3t5YuXVpie6tWraxnn33WUCr3+u15itPptKKjo61p06YVb8vNzbXsdrv1/vvvG0joHtc6Pztw4IAlydqyZYtHMwGwLEbyK4ALFy5o06ZN6tatW/E2Pz8/devWTWvXrjWYDJ6Ql5cnSapWrZrhJJ7jcDg0b948nTt3TgkJCabjeERqaqp69uxZ4ufc2+3du1c1a9ZUfHy8+vXrp6ysLNOR3O7jjz9W69at1adPH0VGRqply5Z64403TMfyqAsXLmjOnDlKSUmRzWYzHcet2rVrp5UrV2rPnj2SpK1bt+rrr79Wjx49DCdzr4sXL8rhcCgwMLDE9qCgIJ+YsSNJBw4cUHZ2donf6eHh4Wrbti3nbgDcrpLpALi+EydOyOFwKCoqqsT2qKgo7dq1y1AqeILT6dTQoUPVvn17NW3a1HQct9u2bZsSEhJUWFioypUra9GiRWrSpInpWG43b948bd682euuV72Wtm3bavbs2brlllt07NgxjR8/Xh07dtT27dsVGhpqOp7b7N+/XzNmzNDw4cP1zDPPaMOGDXrqqacUEBCg5ORk0/E8YvHixcrNzdWAAQNMR3G70aNHKz8/X40aNZK/v78cDocmTZqkfv36mY7mVqGhoUpISNDEiRPVuHFjRUVF6f3339fatWvVoEED0/E8Ijs7W5KueO72yz4AcBeKfKAcS01N1fbt231m5OOWW25RZmam8vLytHDhQiUnJ2vNmjVeXegfPnxYQ4YM0YoVKy4b9fJm/3sks3nz5mrbtq3i4uK0YMECDRo0yGAy93I6nWrdurUmT54sSWrZsqW2b9+u119/3WeK/Lfeeks9evRQzZo1TUdxuwULFui9997T3LlzdeuttyozM1NDhw5VzZo1vf7zfvfdd5WSkqJatWrJ399frVq1Ut++fbVp0ybT0QDA6zFdvwKoUaOG/P39dfz48RLbjx8/rujoaEOp4G5PPvmkli5dqtWrV6t27dqm43hEQECAGjRooNtvv10ZGRlq0aKFXn75ZdOx3GrTpk3KyclRq1atVKlSJVWqVElr1qzRK6+8okqVKsnhcJiO6BFVqlTRzTffrH379pmO4lYxMTGXfWnVuHFjn7hUQZIOHTqkL774Qo899pjpKB4xcuRIjR49Wg899JCaNWumRx55RMOGDVNGRobpaG5Xv359rVmzRmfPntXhw4e1fv16/fzzz4qPjzcdzSN+OT/j3A2ACRT5FUBAQIBuv/12rVy5snib0+nUypUrfeZ6ZV9iWZaefPJJLVq0SKtWrVK9evVMRzLG6XSqqKjIdAy36tq1q7Zt26bMzMzi1rp1a/Xr10+ZmZny9/c3HdEjzp49qx9++EExMTGmo7hV+/btL7sl5p49exQXF2cokWfNmjVLkZGR6tmzp+koHlFQUCA/v5KnWv7+/nI6nYYSeV5ISIhiYmJ0+vRpLV++XL179zYdySPq1aun6OjoEudu+fn5WrduHeduANyO6foVxPDhw5WcnKzWrVurTZs2eumll3Tu3DkNHDjQdDS3OXv2bIlRvQMHDigzM1PVqlVTbGyswWTulZqaqrlz5+qjjz5SaGho8bV74eHhCgoKMpzOfdLS0tSjRw/FxsbqzJkzmjt3rr788kstX77cdDS3Cg0NvWy9hZCQEFWvXt2r12F4+umn1atXL8XFxeno0aNKT0+Xv7+/+vbtazqaWw0bNkzt2rXT5MmT9cADD2j9+vWaOXOmZs6caTqa2zmdTs2aNUvJycmqVMk3Tj969eqlSZMmKTY2Vrfeequ2bNmiv/3tb0pJSTEdze2WL18uy7J0yy23aN++fRo5cqQaNWrkVect1ztPGTp0qJ5//nk1bNhQ9erV09ixY1WzZk3dc8895kK7wPX6ferUKWVlZeno0aOSVPzFZnR0NLMYAE8xvbw/btyrr75qxcbGWgEBAVabNm2sb7/91nQkt1q9erUl6bKWnJxsOppbXanPkqxZs2aZjuZWKSkpVlxcnBUQEGBFRERYXbt2tT7//HPTsYzwhVvoPfjgg1ZMTIwVEBBg1apVy3rwwQetffv2mY7lEUuWLLGaNm1q2e12q1GjRtbMmTNNR/KI5cuXW5Ks3bt3m47iMfn5+daQIUOs2NhYKzAw0IqPj7eeffZZq6ioyHQ0t5s/f74VHx9vBQQEWNHR0VZqaqqVm5trOpZLXe88xel0WmPHjrWioqIsu91ude3a1Sv+/V+v37Nmzbri/vT0dKO5AV9isyzL8tD3CQAAAAAAwI24Jh8AAAAAAC9BkQ8AAAAAgJegyAcAAAAAwEtQ5AMAAAAA4CUo8gEAAAAA8BIU+QAAAAAAeAmKfAAAAAAAvARFPgAAAAAAXoIiHwAAAAAAL0GRDwAAAACAl6DIBwAAAADAS/w3Q8t/lQEREugAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
],
"source": [
"#@title Sarsa\n",
"# Set for reproducibility, comment out / change seed value for different results\n",
"np.random.seed(42)\n",
"\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 300 # Number of episodes\n",
"n = 5 # Step size for n-step Q-learning\n",
"discount = 0.95 # Discount factor\n",
"alpha = 0.1 # Learning rate\n",
"max_step = 1000 # Maximum steps per episode\n",
"\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.1)\n",
"\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, sarsa, epsilon_greedy)\n",
"value_sarsa, reward_sums_sarsa = results\n",
"\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_sarsa)\n",
"print(f\"\\nSARSA mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"# Plot results\n",
"plot_performance(env, value_sarsa, reward_sums_sarsa)\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'SARSA', value_sarsa)\n"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 732
},
"id": "vqKv1LqxzN6p",
"outputId": "6caadbfc-22c3-4d70-aaf7-8778e773575d"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"qlearning mean_reward = -19.00 +/- 0.0000\n",
"\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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Z7S/HKLnDyz9v1oNfrFbf1sl67fpTPb5/d9qeU6Q+035QkNWi5ZMGKcrLvhQBHO2HdXt13au/KjTYqh/uOsvrW648afP+Qn2wZLs++m2ns1uzJLVpEK1LejbWsG6NlBRlM7FCnKz9h0q1Zne+Vu063OV/075Dx5yIrHF8uK44tYku7Zmu5Gjfed8Xbjqg+z9ZqT/2HpIknZaRoH8N66SWKZ7/G8gXrNyZpwe/WO3s8ZkSbdNdg9voou6NvWKY5dJtBzXps1XOHimtUqI0+fwONXqzwHsR8t2IkB9YsvMqu+cv2lL5YX31aU10/9D2pp25XrM7X+c89ZMiQoO0bOIghQb7T8vPe4u36+4PVqh7kzh9dMvpZpcDoBYMw9AV//1Fv2zK0UXdG+vxS7uYXZKpDpVW6MsVu/T+4h1avPWgc3lseIgu6NpQl/RIV8dGMX7ZlRuVisvsWufs7p9X1d2/QMVVlygMCbJocIdUXdWrqU7LSPDaY+HAoVJN/XqtPliyQ1Jl74T7hrbT37s18tqavUX1vAVTv16jrQeKJFXONfTA39or06ThiPsKSjVt1lq9X/V+RtuCdcfAVhreuxm9iHwIId+NCPmBY+66vRrz3nLlFJYpyhasRy7qpL91bmhqTQ6HoVMe+lYHCsv0wU2Z6tkswdR6XGn0u8v08dKdurVfS901uI3Z5QCopeXbc3XBc/NlsUhf39FHbVMD67vR4TD0y+YD+mDxDn29MtsZ5qwW6czWybq4R2MNbNeAbs0BrLjMri9W7NKbC7dp2fZc5/KM5Ehd1aupLu7eWLER3jGpqcNh6P0l2zX167XKLaq8TOiVvZro7sFtmHejjkor7Hp9wVY9/f0fKqi6VPKg9g1077nt1Cwp0iM1lNsdej1rq56cs955paeLezTW3UPaKCXatRMlwv0I+W5EyPd/FXaHHp+zXs/P3ShJ6tAwRs9d2d1jH8h/ZdRbv+nLFbs15uzWun1AK7PLcQnDMHTa1O+0J79Ub/2jl3rTbQzwKaPe/E1f/r5b/dum6JURp5hdjkdszynSh7/t0Ie/7dD2nGLn8oykSF3cs7Eu7NbY5bONw/et3JmnNxdu06fLdqqo6so8tmCrzuvSUFf1aqKu6XGmtZSvzc7XfR+v1JKqXihtU6P10N87qUdT35ot3tscOFSqJ7/9Q28t2ia7o/La88Mzm+m2Aa3cesWaBRv2a/Lnq7R+T+VQi06NYjX5/A68nz6MkO9GhHz/tjuv8jIov26p/IK75rSmum9oO69qgXlz4Vbd9/FKnZaRoHduzDS7HJfYsPeQBs6Yp9Bgq1ZMGuRV/94A/trm/YUaOGOe7A5D79x4mk7L8M8rZBSX2fX1yt16f/EOZW064FweZQvWeV3SdHGPdHVvYl5Ig+8oKCnXJ8t26c1ftmptdoFzeYeGMbqqV1Nd0LWhxyZsKyqr0FPf/qGXft4su8NQRGiQxpzdWiN6N3PZNe9RednMh75ao7nr9kmS4iNCNPrs1rry1CYu/XfemVush79coy9/3+3cz7jBbXXZKeleMS8A6o+Q70aEfP/1w7q9GvPuMh0sKle0LViPXNRZQzunmV3WUTbvL1S/6XMVGmTV8kmD/OLa3f/L2qIHPl2lzIxEvX3jaWaXA6Ae7v/kd73xyzZ1TY/Tx7f09pugaxiGlmw9qPcX79CXv+/Woaour5J0estEXdyjsYZ0SPOLz2J4nmEY+m1brt5cuFVfrNjtvPpClC1Yw7o11FW9mrr1sopzVu/R5M9WaWduZW+UIR1SNfG89mrIJJpuM2/9Pv3ri9XOyQxbpkTpvnPb6aw2ySf1uVlSbtdLP23Ssz9sUEm5Q1aLdPVpTTXm7NYMtfAThHw3IuT7n3K7Q9O/Waf/zNskSerYqLJ7ftNE7+ie/2eGYaj3I99rd16J3rihl85o5ftd229+Y4m+Xpmtuwa11q39/WMIAhBo9haUqO+0uSout+uFq7trSEfvO0laV+/9ul0vzNuoTfsLncvSE8J1cfd0XdSjEZebgksdLCzTh7/t0JsLt2nzEcdc9yZxuvq0pjq3U5rLerrtOFikyZ+t1rdr9kiSGsWF658XdNCAdg1csn2cWIXdobd/3a4n5qx3XsauT6sk3T+0vdqkRtd5e9+t2aMpn6/WtpzKif5OaRavKed3VPuGZBV/Qsh3I0K+f9mVW6zb3l7qHH82onczTTi3rWzB3t0iM/a95frwtx265awWuntIW7PLOSkOh6Hu/5qj3KJyfXhzb8aKAT5sxjfr9PT3G5SRFKnZo8/06Vmb56zeo5GvL5YkhYcE6dxOabqkZ2Od2izBZ693Dt9gGIayNh7Qmwu3afaqbFVUXZMvLiJEF3dvrCt7Nan3ZXzL7Q698vNmPfntHyoutyvYatHIMzN0e/9W9EYxQV5xuZ77YYNenb9Z5XZDVot0xalNNPrs1rW6xObm/YX65+er9EPVEICUaJvuG9pO53dp6De9qXAYId+NCPn+47s1ezT2/eXKreqeP+3izjqnk2+0PH24ZIfGvr9cXdPj9Mko377c3KpdeRr69M+KDA3SskmDfDoUAIGuoKRcZz02VwcKy/TQ3zvqql5NzS6pXvYWlGjIkz8pp7BMV/ZqonvPbacoD42PBo60t6BE7/26XW8v2u7sUi9JvVsk6urTmurs9g1q/b25eEuO7vt4pdbtqZwD4NRmCfrX3zuqdYO6txzDtbYeKNTUr9Zq1qpsSZWXuBvVv6WuO73ZMRueCksr9NwPG/TST5tVZncoJMii689ortv6t+Kzyo8R8t2IkO/7yu0OTZ+9Tv/5sbJ7fufGsXr2iu5qkug73S535Rar9yPfy2qRlk0apJgw77j0Tn289NMm/evLNerXJlmvXneq2eUAOEkz52/W5M9XKznapnnjzlJEqG/9welwGBox81f9uH6f2qfF6ONRvb2+dxf8n91haN76vXrzl236ft1eVf/1nhxt02U903X5qenHHT5ysLBMj3y9Vu8u3i6pciK2e89tp4t7NKa118v8sumA/vXlaq3cmS+pcnjQhHPa6ZyOqbJYLDIMQ5+v2K2Hv1yj7PwSSZWX6px0Xnu1qGfvDviOuuRQ3/rmBU7Sztxi3fbWb/ptW64k3+me/2cN48LVPClSm/cXatGmHA1s77tj6BZsrJyhuncL359bAIB0Za+menn+Zm3PKdYrP2/2uXk2Xsvaoh/X75Mt2KqnLu/qc98P8E9BVov6t22g/m0baMfBIr3763a98+t27Sso1bM/bNBzczeoX5sUXX1aE/VtnaIga2Ug/GDJDj381RodrLrm/WU90zX+nLaKj2QiNm90WkaiPht1hj78bYcem71O23OKdcubv+nUZgm67vRmmrlgixZuzpFUeQLggaHtdXb7BpyswVFoya8jWvJ917erK7vn5xWXKzosWI9d3EVDOqaaXVa93fvx73pr4TZdf3pzTTyvvdnl1Eu53aGuU75RYZldX9x2hjo2ijW7JAAu8OmynbrjnWWKsgXrx7v7KcFHAsW67AKd9+zPKqtw6J8XdNC1mc3MLgk4rnK7Q3NW79GbC7dq/obDl3RsFBeuS3o21oKNB7SoKhC2aRCth/7eUT2bJZhVLuqosLRC//lxk178caNKyh3O5bZgq245q6X+r28GlxwOMLTkA0coq3Bo2qy1eunnzZKkLo1j9eyV3ZWe4Dvd84/l9BZJemvhNi3YuN/sUurt9515KiyzKzY8RO3deIkgAJ51XueGevHHTVq1K1/PfP+HJp3XweyS/lJJuV13vLNUZRUO9WuTrGtO8835BBA4QoKsOrdTms7tlKZN+w7p7UXb9P6SHdqZW6wnv/1DUuWkkXcObKXrz2jOnDc+JtIWrDFnt9blp6Trsdnr9OmynRrcIVX3DW3HlT3wlwj5cKlVu/IUbLWqRXKkgr3gy2THwSLd+tZSLdueK0m6/vTmGn9OW4UGm1/byToto/Js/NrsAh04VKrEWszC6m0WbKg8QZGZkchs1YAfsVotGn9OW13z8iK98ctWXX96c68/sfrY7HVam12gxMhQTbu4C91f4VMykqN039D2Gjuojb5euVvv/bpDCVGhmnBOWwKhj2sYF64nLuuqaRd35kQNao2QD5dZvCVHF7+QJUkKDbaqbWq02qfFqH3DGLVPi1HbtBiPzvj5zaps3fX+cuWXVCgmLFjTL+miQR18t3v+nyVG2dQ2NVprswv0y6YcDe3sG1cGOJJzPH7LRJMrAeBqfVol64yWSfp5w349/s06PXl5N7NLOq6f/tinl6t6e027uLOSo33vpCkgSWEhQfp7t8b6e7fGZpcCFyPgoy4I+XCZ6tZyqbKL/IodeVqxI6/GOs0SI5yhv0PDWLVvGKOUaJtLW0zKKhx6dNZa5x9sXdPj9MwV3by+Fak+erdI0trsAs3fuN/nQn5JuV2Ltx6UxKR7gL8af05b/e2Zn/XJsl36R58Mr5x3I6ewTGPfWy5Juua0phrQzncnMgUAQCLkw4V2HKy8fuuNZ2boql5NtHpXvlbvztfqXflatStf2fkl2nKgSFsOFOmr37Odz0uMDHUG/+qfzZPq191/e06Rbn17qZZXnXAY2ae5xg32j+75x9K7RaJemb9ZWRsP/PXKXua3bQdVVuFQSrRNLZIjzS4HgBt0bBSr87s01GfLd2na7HV6/XrvukymYRia8NEK7S0oVYvkSN17bjuzSwIA4KQR8uEy1SE/PSFCTRMj1TQxUud0Oty6fOBQqdbsLtDq3XnOEwAb9xXqQGGZfvpjv3764/AEcrZgq9qm1Qz+bVOjFXmC7v6zV2VrXFX3/NjwEE2/pIvO9uFLy9VGr4wEBVkt2ry/ULtyi9UwLtzskmoty3npvETGvgJ+7K6qMcI/rt+n+Rv26/SW3tNz591ft2v2qj0KCbLoqcu7KTyUmaoBAL6PkA+X2XGwSJLUOP7YQTMxyqYzWtl0RqvDf+CVlNu1fk+BVu3Kdwb/NbvzVVRm1/Ltuc4WeUmyWKTmiZFqd0Srf4eGMYoLD9XUr9fo1flbJEndmlR2zw+EiWaiw0LUqVGslm3PVdbGA7qoh++MwXOOx6erPuDXmiRG6KpeTTVzwRY98vVafTrqdK+YaHPTvkOa8vlqSZUnIrxxKAEAAPVByIfL7KxuyT9OyD+WsJAgdW4cp86N45zLHA5DW3OKqrr55zm7/O8tKNWm/YXatL9QX67YfcQ2rM7rh954ZobGDW4TUJOT9G6RqGXbczV/436fCfmHSiucJ3AyWzDpHuDvbu3fUu8v3q7fd+bpy99367wuDU2tp9zu0Oh3l6m43K7eLRI1sk+GqfUAAOBKhHy4RF5xuQpKKyRJjeJOrgXdarWoeVKkmidF1phMbl9BqdbsPnKcf5427S9USblDcREhmnFpF/Vv69/d84+ld4sk/XvuRmVtPCDDMHyi6/uvW3JU4TCUnhDulxMiAqgpKcqmG89soSe+Xa/p36zT4A6pps6V8tS3f2j5jjzFhofo8Uu7eEXPAgAAXIWQD5eo7qqfFBXqtjGNydE2JUcn68zWyc5lRWUV2rSvUE0TIxQdFuKW/Xq7Hk3jFRpk1e68yokNmyd5/yR2CzZUzr/QO4Ou+kCg+Eef5vrfL1u19UCR3vl1m67NbGZKHYs25+i5uRskSQ//vZPSYn1nLhMAAGojcPo0w62qJ91r5OFx8BGhwerYKDZgA74khYcGqXvTOEnSgo37T7yyl3COx29JV30gUETagnXHwFaSpKe/+0OHqnp/eVJ+SblGv7tMhiFd3KOxz116FACA2iDkwyWqQ/7xJt2De1VPXrfABy6ld7CwTKt350uSMjMI+UAgufyUdDVLjND+Q2V66adNHt//xE9WamdusZokRGjy+R08vn8AADyBkA+X+KuZ9eFevasmr8vaeEAOh2FyNSe2cPMBGYbUKiVKKTFhZpcDwINCgqwaN7itJOnFHzdpX0Gpx/b96bKd+mTZLgVZLXry8q6KOsElWQEA8GWEfLjE4ZZ8JlEzQ+fGcYoIDVJOYZnW7Skwu5wTOnzpPFrxgUB0bqdUdWkcq6Iyu575/g+P7HN7TpHu/3ilJOn2/q3UvUm8R/YLAIAZCPlwCbrrmys02KpTmiVI8v4u+9X1ZbZg0j0gEFksFt1zTmVr/lsLt2nL/kK37s/uMDT2veUqKK1Qj6bxGtWvhVv3BwCA2Qj5cInq7vrphHzTnN6yusu+906+tze/RBv2HpLFIp2WkWB2OQBM0rtFks5qk6wKh6Hp36xz675emLdRi7bkKMoWrCcu7argIP70AQD4N77pcNLyistVUFI5S3LDOEK+Waon31u4KUcVdofJ1Rxb1qbKVvwODWMUFxFqcjUAzHT34LayWKQvVuzWih25btnH8u25emLOeknSlPM7qEkiQ8oAAP6PkI+TVt2KnxgZqohQJjIyS7u0GMWGh6igtEK/78wzu5xjWrChejw+XfWBQNe+YYz+3rWRJOmRr9fKMFw7aWhhaYXufHeZKhyGhnZO04XdG7l0+wAAeCtCPk4a4/G9Q5DV4uwC763j8udXDSXIZNI9AJJGn91aoUFWLdh4QD/+4dqhRg9+sVqb9xcqLTZMDw/rJIvF4tLtAwDgrQj5OGnMrO89qlvIs7ww5G/PKdKOg8UKtlqckwQCCGzpCRG6JrOppMrWfFddAnTWymy98+t2WSzSjEu7KjYixCXbBQDAFxDycdKqu+vTkm++6sn3ft2So9IKu8nV1LSgqhW/S3oc16cG4DSqX0tF24K1Zne+Plu+66S3tye/RBM+WiFJ+r8zW9BzCAAQcAj5OGk76a7vNVokRyk52qbSCoeWbss1u5waqocQnM4f3ACOkBAZqpvOqrys3fRv1p3UCUqHw9Bd7y/XwaJydWwUozFnt3ZVmQAA+AxCPk4a3fW9h8ViUe+qEL1gg/dcSs8wDGfIz2TSPQB/cv3pzZUSbdOOg8V685dt9d7Oqwu26Kc/9issxKonL+um0GD+zAEABB6+/XDS6K7vXZwh34vG5W/cd0j7CkplC7aqW5M4s8sB4GXCQ4M0uqrV/Znv/1B+SXmdt7Fmd74e/XqtJOn+oe3VMiXKpTUCAOArfCbkP/TQQ+rdu7ciIiIUFxd3zHW2bdumoUOHKiIiQikpKRo3bpwqKipqrDN37lx1795dNptNLVu21MyZM91fvB/LKy5Xfknlv3EjQr5XqJ58b9n2XBWWVvzF2p5RfcKhZ7N4hYUEmVwNAG90SY/GykiO1MGicr04b1OdnltSbted7yxTmd2hge1SdFWvJm6qEgAA7+czIb+srEyXXHKJbr755mM+brfbNXToUJWVlWnBggV67bXXNHPmTE2cONG5zubNmzV06FD169dPy5Yt05133ql//OMfmj17tqdeht+pHo+fGBmqiFAmU/MG6QkRSk8IV4XD0K9bcswuR5K0YENlyO9NV30AxxEcZNXdg9tKkl76eZP25pfU+rmPfL1W6/YUKCnKpkcv6szl8gAAAc1nQv6UKVM0evRoderU6ZiPf/PNN1q9erXeeOMNde3aVeecc44efPBBPffccyorK5MkvfDCC2revLkef/xxtWvXTrfeeqsuvvhiPfHEE558KX6FrvreqXdGZZj2hi77DoehrE3V4/GZdA/A8Q3u0EDdm8SppNyhJ7/7o1bPmbd+n2Yu2CJJmn5JZyVG2dxYIQAA3s9nQv5fycrKUqdOndSgQQPnssGDBys/P1+rVq1yrjNw4MAazxs8eLCysrKOu93S0lLl5+fXuOEwJt3zTr1bVo/LN3/yvdW785VXXK4oW7A6N4o1uxwAXsxisWj8Oe0kSe/+ul0b9x064foHDpXqrveXS5JG9G6ms9qkuL1GAAC8nd+E/Ozs7BoBX5LzfnZ29gnXyc/PV3Fx8TG3O3XqVMXGxjpv6enpbqjed1WHfMbje5fMjMqQv2pXvnKLykytpfpEw6nNExQc5DcfOQDc5NTmCRrYLkV2h6Hps9cddz3DMHTPh79rX0GpWjeI0vhz2nqwSgAAvJepf3GPHz9eFovlhLe1a9eaWaImTJigvLw852379u2m1uNt6K7vnVJiwtQyJUqGIf2yydxx+dVDBnrTVR9ALY0b3FZWi/T1ymz9tu3gMdd5e9F2fbtmj0KDrHrq8m5M6gkAQBVTZ0obO3asRowYccJ1MjIyarWt1NRULVq0qMayPXv2OB+r/lm97Mh1YmJiFB5+7JBqs9lkszG+73gOd9cn5Hub01skasPeQ8rauF9DOqaaUkO53aFFmytPMjDpHoDaapMarYu6N9b7S3boka/W6t3/O63GZHob9x3SP7+oHIp395A2apcWY1apAAB4HVNDfnJyspKTk12yrczMTD300EPau3evUlIqx+TNmTNHMTExat++vXOdr776qsbz5syZo8zMTJfUEIgOt+QzJt/bZLZI0mtZWzXfxMn3VuzIVVGZXfERIWqbGm1aHQB8z+izW+vT5bu0aEuOfli3V/3bVg63K6tw6M53lqmk3KEzWibp+tObm1wpAADexWcGyG7btk3Lli3Ttm3bZLfbtWzZMi1btkyHDlVOyjNo0CC1b99e11xzjZYvX67Zs2fr/vvv16hRo5wt8TfddJM2bdqku+++W2vXrtW///1vvffeexo9erSZL81n5RWXK7+k8jrsjeJoyfc2p2UkyGKRNuw9VKdLUblS9aXzMlskymrlklYAaq9hXLiu691MkvTo1+tkdxiSpCe+Xa/fd+YpLiJEj1/ahc8WAAD+xGdC/sSJE9WtWzdNmjRJhw4dUrdu3dStWzctXrxYkhQUFKQvvvhCQUFByszM1NVXX61rr71W//znP53baN68ub788kvNmTNHXbp00eOPP66XXnpJgwcPNutl+bSdVV31EyJDFWkztVMIjiEuIlQdGlZ2Ya2+hJ2nVY/Hz6SrPoB6uOWslooJC9a6PQX6eOlO/bLpgF6Yt1GS9MiFndUgJszkCgEA8D4+k8xmzpypmTNnnnCdpk2bHtUd/8/OOussLV261IWVBa6duYzH93a9WyRp5c58LdhwQBd0beTRfZeU27WkasIsJt0DUB+xESEa1a+lpn69VjO+qZxp3zCky09JN22uEQAAvJ3PtOTD+zCzvverDtcLNu33+L6XbD2osgqHGsTYlJEU6fH9A/APw3s3U1psmHbllWhXXomaJUbogb+1N7ssAAC8FiEf9XZ4Zn0m3fNWpzRLULDVou05xdqeU+TRfS/YWHlioXeLpBqzYgNAXYSFBGn02a0lSUFWi568vBtDxAAAOAG+JVFvtOR7v0hbsLqmx2nx1oNasHG/Lkto4rF9Hx6PT1d9ACfnou6NdeBQmZonRaprepzZ5QAA4NVoyUe9HW7JJ+R7M2eXfQ9eSq+gpFwrduTV2D8A1FeQ1aKbz2rBOHwAAGqBkI96o7u+b6ie2X7BxgMyDMMj+/x1S47sDkNNEyM4PgAAAAAPIuSjXvJLypVXXC5JahRHS7436940TrZgq/YVlGrjvkMe2eeCDZW9BmjFBwAAADyLkI962VnVih8fEcIESF7OFhykU5olSJLmb/BMl/3D4/GTPLI/AAAAAJUI+agXuur7lkznuHz3X0rvYGGZVu/Or9xvBi35AAAAgCcR8lEvzKzvW6q7zf+yqXKsvDv9sqmyFb91gyglR9vcui8AAAAANRHyUS/MrO9bOjWKVbQtWHnF5VpT1cruLvOregv0pqs+AAAA4HGEfNTL4ZZ8uuv7guAgq3plVI/Ld2+X/cPj8emqDwAAAHgaIR/1Qku+7znyUnrukp1Xok37CmW1SKc1J+QDAAAAnkbIR73szGXiPV9TPS7/1y05KqtwuGUfWZsqewl0bBSr2IgQt+wDAAAAwPER8lFnBSXlyi0qlyQ1oiXfZ7RpEK2EyFAVldm1YkeuW/axYANd9QEAAAAzEfJRZ9Wt+PERIYqyBZtcDWrLarU4L2nnji77hmE4t8ukewAAAIA5CPmosx05dNX3Vb1bVoZ8d0y+tz2nWDtzixVsteiUZvEu3z4AAACAv0bIR50dnlmfrvq+prqFfem2XBWX2V267QVVl87r1iROEaH08AAAAADMQMhHnTGzvu9qlhihtNgwldkdWrL1oEu3Pd956Ty66gMAAABmIeSjzqpDfqM4Qr6vsVgszknxqlveXcEwDGVVba83k+4BAAAApiHko8525FZ312dMvi86vaql3ZWT7/2x95D2HyqTLdiqbk3iXLZdAAAAAHVDyEedObvrJ9CS74uqW/JX7MhVfkm5S7a5oGoiv1OaJcgWHOSSbQIAAACoO0I+6qSgpFy5RZXBkO76vqlhXLiaJ0XKYUiLNuW4ZJvOS+e1pKs+AAAAYCZCPupkZ25lK35cRIiiw0JMrgb1dXhc/sl32bc7DP2yqSrkM+keAAAAYCpCPupkRw4z6/uD3i6cfG/1rnzll1Qo2hasjg1jTnp7AAAAAOqPkI862XGwatK9OCbd82WZGZUhf212gQ4cKj2pbVWfKOiVkaDgID5SAAAAADPxFznqpLq7Pi35vi0xyqa2qdGSpKxNJ9dlv7rLfyZd9QEAAADTEfJRJ86Z9Qn5Pq+3Cy6lV1bh0KLNOVXbY9I9AAAAwGyEfNTJ4ZBPd31fVx3Ks04i5C/fkavicrsSIkPVpkG0q0oDAAAAUE+EfNSJc0x+Ai35vu7UjARZLdLm/YXaVTUMo64WbKjqqp+RKKvV4sryAAAAANQDIR+1dqi0QgeLyiVJjeII+b4uJixEnRvHSap/l/3qSfcy6aoPAAAAeAVCPmptZ1VX/djwEEWHhZhcDVzhZC6lV1xm19JtuZKk01sy6R4AAADgDQj5qDVnV30m3fMb1ZPvZW08IMMw6vTcJVsPqszuUFpsmJolMkcDAAAA4A0I+ag1Ztb3Pz2axis0yKrdeSXacqCoTs89squ+xcJ4fAAAAMAbBNdmpfz8/FpvMCYmpt7FwLsdbsmn1dZfhIcGqVuTOC3cnKMFG/ereVJkrZ9bPY6/ujcAAAAAAPPVKuTHxcXVuqXObrefVEHwXrTk+6fTWyZVhvwNB3RVr6a1ek5+SblW7MiVxKR7AAAAgDepVcj/4YcfnL9v2bJF48eP14gRI5SZmSlJysrK0muvvaapU6e6p0p4hcMhn5Z8f9K7RaJmzJGyNh2Qw2HU6lJ4izblyGFIzRIjuNICAAAA4EVqFfL79u3r/P2f//ynZsyYoSuuuMK57Pzzz1enTp304osvavjw4a6vEl6Biff8U+fGcYoIDVJOYZnW7SlQu7S/HnJT3VU/k676AAAAgFep88R7WVlZ6tmz51HLe/bsqUWLFrmkKHifwtIKHSwqlyQ1IuT7ldBgq05pliDpcHj/K9WT7vWmqz4AAADgVeoc8tPT0/Xf//73qOUvvfSS0tPTXVIUvM/O3Mqu+rHhIYoJCzG5GrhadVjPqgrvJ3LgUKnWZhdIYjw+AAAA4G1q1V3/SE888YQuuugiff311+rVq5ckadGiRfrjjz/04YcfurxAeAe66vu301tWdrtfuClHFXaHgoOOf/7vl005kqS2qdFKirJ5pD4AAAAAtVPnlvxzzz1Xf/zxh84//3zl5OQoJydH5513ntavX69zzz3XHTXCCzCzvn9rlxaj2PAQFZRW6PedeSdct7qrPq34AAAAgPepU0t+eXm5hgwZohdeeEEPPfSQu2qCF2Jmff8WZLXotIwEzV61Rws2HlC3JvHHXTeratx+bybdAwAAALxOnVryQ0JCtGLFCnfVAi9Gd33/Vx3as04w+d7uvGJt2l8oq0U6tXmCp0oDAAAAUEt17q5/9dVX6+WXX3ZHLfBi1S35XBPdf1VPvvfrlhyVVtiPuc6CDZUnADo1ilVsOBMwAgAAAN6mzhPvVVRU6JVXXtG3336rHj16KDIyssbjM2bMcFlx8B501/d/LVOilBxt076CUv22NfeYY+6rL7GXSVd9AAAAwCvVuSV/5cqV6t69u6Kjo7V+/XotXbrUeVu2bJkbSpS2bNmiG264Qc2bN1d4eLhatGihSZMmqaysrMZ6K1asUJ8+fRQWFqb09HRNmzbtqG29//77atu2rcLCwtSpUyd99dVXbqnZnxSWViinsPLfuhHd9f2WxWI54aX0DMNwLu/NpHsAAACAV6pzS/4PP/zgjjpOaO3atXI4HPrPf/6jli1bauXKlRo5cqQKCws1ffp0SVJ+fr4GDRqkgQMH6oUXXtDvv/+u66+/XnFxcbrxxhslSQsWLNAVV1yhqVOn6m9/+5veeustDRs2TL/99ps6duzo8dflK3bmVrbix4QF00Xbz/VukahPl+3Sgo0HNOZPj209UKRdeSUKCbKoZ7PjT8wHAAAAwDx1DvlmGDJkiIYMGeK8n5GRoXXr1un55593hvw333xTZWVleuWVVxQaGqoOHTpo2bJlmjFjhjPkP/XUUxoyZIjGjRsnSXrwwQc1Z84cPfvss3rhhRc8/8J8xOFJ9+iq7++qJ99btj1XhaUVirQd/oio7qrfLT1eEaE+8dEBAAAABJx6/aW+ePFivffee9q2bdtRXeY/+ugjlxT2V/Ly8pSQcHh276ysLJ155pkKDQ11Lhs8eLAeffRRHTx4UPHx8crKytKYMTXbJwcPHqxPPvnkuPspLS1VaWmp835+fr7rXoSPODwen676/i49IUKN48O142Cxft2So7PapDgfW1DdVb8lXfUBAAAAb1XnMfnvvPOOevfurTVr1ujjjz9WeXm5Vq1ape+//16xsbHuqPEoGzZs0DPPPKP/+7//cy7Lzs5WgwYNaqxXfT87O/uE61Q/fixTp05VbGys85aenu6ql+EzmHQvsJxe1Zq/4IhL6VWOx6+835tJ9wAAAACvVeeQ//DDD+uJJ57Q559/rtDQUD311FNau3atLr30UjVp0qRO2xo/frwsFssJb2vXrq3xnJ07d2rIkCG65JJLNHLkyLqWX2cTJkxQXl6e87Z9+3a379PbHO6uT0t+IKhuqV9wxOR76/cc0oHCMoWFWNU1Pc6kygAAAAD8lTp319+4caOGDh0qSQoNDVVhYaEsFotGjx6t/v37a8qUKbXe1tixYzVixIgTrpORkeH8fdeuXerXr5969+6tF198scZ6qamp2rNnT41l1fdTU1NPuE7148dis9lks9n+8rX4s5101w8omRmVIX/VrnzlFpUpLiJU8zdUBv5TmiUoNLjO5wYBAAAAeEidQ358fLwKCgokSY0aNdLKlSvVqVMn5ebmqqioqE7bSk5OVnJycq3W3blzp/r166cePXro1VdfldVaM2hkZmbqvvvuU3l5uUJCKmeAnzNnjtq0aaP4+HjnOt99953uvPNO5/PmzJmjzMzMOtUdaOiuH1hSYsLUMiVKG/Ye0i+bcjSkY6qz6z5d9QEAAADvVucmuTPPPFNz5syRJF1yySW64447NHLkSF1xxRUaMGCAywuUKgP+WWedpSZNmmj69Onat2+fsrOza4ylv/LKKxUaGqobbrhBq1at0rvvvqunnnqqxkR7d9xxh2bNmqXHH39ca9eu1eTJk7V48WLdeuutbqnbHxSVVehAYeXkio1oyQ8YvVsc7rJfYXdo4aYDNZYDAAAA8E51bsl/9tlnVVJSIkm67777FBISogULFuiiiy7S/fff7/ICpcrW9g0bNmjDhg1q3LhxjccMw5AkxcbG6ptvvtGoUaPUo0cPJSUlaeLEic7L50lS79699dZbb+n+++/Xvffeq1atWumTTz5Rx44d3VK3P6juqh8TFqzY8BCTq4Gn9G6RpNeztmrBxgNatStfBaUVig4LVoeGMWaXBgAAAOAELEZ1Skat5OfnKzY2Vnl5eYqJ8f/A88Pavbpu5q9qlxajr+/oY3Y58JDcojJ1e3CODEO67vRmenX+Fg1s10AvDe9pdmkAAABAwKlLDq1zd/1rr71Wr776qjZu3FjvAuE7mFk/MMVFhDpb7d9cuE0SXfUBAAAAX1DnkB8aGqqpU6eqVatWSk9P19VXX62XXnpJf/zxhzvqg8l2MLN+wKqeZK+swiFJOr0lk+4BAAAA3q7OIf+ll17S+vXrtX37dk2bNk1RUVF6/PHH1bZt26PGy8P3MbN+4Mo8ouU+MTJUrRtEmVgNAAAAgNqo9wWv4+PjlZiYqPj4eMXFxSk4OLjWl8OD76C7fuA6tVmCgq0WSZWB32KxmFwRAAAAgL9S55B/7733qnfv3kpMTNT48eNVUlKi8ePHKzs7W0uXLnVHjTAR3fUDV6QtWN2bxkuS+rSiqz4AAADgC+p8Cb1HHnlEycnJmjRpki688EK1bt3aHXXBCxSVVehAYZkkuusHqkcu7KR56/fpou4MxQEAAAB8QZ1D/tKlSzVv3jzNnTtXjz/+uEJDQ9W3b1+dddZZOuusswj9fmRnVSt+dFiwYsNDTK4GZshIjlJGMmPxAQAAAF9R55DfpUsXdenSRbfffrskafny5XriiSc0atQoORwO2e12lxcJczDpHgAAAAD4ljqHfMMwtHTpUs2dO1dz587Vzz//rPz8fHXu3Fl9+/Z1R40wyY5cxuMDAAAAgC+pc8hPSEjQoUOH1KVLF/Xt21cjR45Unz59FBcX54byYCZm1gcAAAAA31LnkP/GG2+oT58+iomJcUc98CJ01wcAAAAA31LnS+gNHTpUMTEx2rBhg2bPnq3i4sogaBiGy4uDubh8HgAAAAD4ljqH/AMHDmjAgAFq3bq1zj33XO3evVuSdMMNN2js2LEuLxDm2VnVXb9RHCEfAAAAAHxBnUP+6NGjFRISom3btiki4nA37ssuu0yzZs1yaXEwT3GZXfsPlUmS0umuDwAAAAA+oc5j8r/55hvNnj1bjRs3rrG8VatW2rp1q8sKg7l25la24kfbghUTXufDBAAAAABggjq35BcWFtZowa+Wk5Mjm83mkqJgvu1V4/EbxYfLYrGYXA0AAAAAoDbqHPL79Omj119/3XnfYrHI4XBo2rRp6tevn0uLg3mYWR8AAAAAfE+d+2FPmzZNAwYM0OLFi1VWVqa7775bq1atUk5OjubPn++OGmGCHVWT7jGzPgAAAAD4jjq35Hfs2FHr16/XGWecoQsuuECFhYW68MILtXTpUrVo0cIdNcIEXD4PAAAAAHxPnVryy8vLNWTIEL3wwgu677773FUTvADd9QEAAADA99SpJT8kJEQrVqxwVy3wIjvprg8AAAAAPqfO3fWvvvpqvfzyy+6oBV6ipNyu/YfKJEnptOQDAAAAgM+o88R7FRUVeuWVV/Ttt9+qR48eioyMrPH4jBkzXFYczFHdVT/aFqyY8DofIgAAAAAAk9Q5wa1cuVLdu3eXJK1fv77GY1xP3T9Uz6zfKD6c9xQAAAAAfEidQ/4PP/zgjjrgRZhZHwAAAAB8U53H5MP/MbM+AAAAAPgmQj6OsoOZ9QEAAADAJxHycRS66wMAAACAbyLk4yh01wcAAAAA30TIRw0l5XbtP1QqiZZ8AAAAAPA1tZpd/7PPPqv1Bs8///x6FwPzVbfiR9mCFRseYnI1AAAAAIC6qFXIHzZsWK02ZrFYZLfbT6YemOzISfcsFovJ1QAAAAAA6qJWId/hcLi7DngJJt0DAAAAAN/FmHzUwKR7AAAAAOC7atWS/2eFhYWaN2+etm3bprKyshqP3X777S4pDObYmUtLPgAAAAD4qjqH/KVLl+rcc89VUVGRCgsLlZCQoP379ysiIkIpKSmEfB935Jh8AAAAAIBvqXN3/dGjR+u8887TwYMHFR4erl9++UVbt25Vjx49NH36dHfUCA+q7q7fKI7u+gAAAADga+oc8pctW6axY8fKarUqKChIpaWlSk9P17Rp03Tvvfe6o0Z4SEm5XfsKSiXRkg8AAAAAvqjOIT8kJERWa+XTUlJStG3bNklSbGystm/f7trq4FHV4/EjQ4MUFxFicjUAAAAAgLqq85j8bt266ddff1WrVq3Ut29fTZw4Ufv379f//vc/dezY0R01wkOOnFnfYrGYXA0AAAAAoK7q3JL/8MMPKy0tTZL00EMPKT4+XjfffLP27dun//znPy4vEJ7DpHsAAAAA4Nvq3JLfs2dP5+8pKSmaNWuWSwuCeQ635BPyAQAAAMAX1bklv3///srNzT1qeX5+vvr37++KmmCSI7vrAwAAAAB8T51D/ty5c1VWVnbU8pKSEv30008uKQrmoLs+AAAAAPi2WnfXX7FihfP31atXKzs723nfbrdr1qxZatSokWurg0fRkg8AAAAAvq3WIb9r166yWCyyWCzH7JYfHh6uZ555xqXFwXNKyu3aV1AqiZZ8AAAAAPBVte6uv3nzZm3cuFGGYWjRokXavHmz87Zz507l5+fr+uuvd1uh559/vpo0aaKwsDClpaXpmmuu0a5du2qss2LFCvXp00dhYWFKT0/XtGnTjtrO+++/r7Zt2yosLEydOnXSV1995baafcnO3MpW/MjQIMVFhJhcDQAAAACgPmod8ps2bapmzZrJ4XCoZ8+eatq0qfOWlpamoKAgd9apfv366b333tO6dev04YcfauPGjbr44oudj+fn52vQoEFq2rSplixZoscee0yTJ0/Wiy++6FxnwYIFuuKKK3TDDTdo6dKlGjZsmIYNG6aVK1e6tXZfsPOIrvoWi8XkagAAAAAA9WExDMOo65M2btyoJ598UmvWrJEktW/fXnfccYdatGjh8gKP57PPPtOwYcNUWlqqkJAQPf/887rvvvuUnZ2t0NBQSdL48eP1ySefaO3atZKkyy67TIWFhfriiy+c2znttNPUtWtXvfDCC7Xab35+vmJjY5WXl6eYmBjXvzCTvLVwm+79+HcNaJuil0ecYnY5AAAAAIAqdcmhdZ5df/bs2Wrfvr0WLVqkzp07q3Pnzlq4cKE6dOigOXPm1LvousjJydGbb76p3r17KySksmt5VlaWzjzzTGfAl6TBgwdr3bp1OnjwoHOdgQMH1tjW4MGDlZWVddx9lZaWKj8/v8bNH1XPrN+I8fgAAAAA4LPqHPLHjx+v0aNHa+HChZoxY4ZmzJihhQsX6s4779Q999zjjhqd7rnnHkVGRioxMVHbtm3Tp59+6nwsOztbDRo0qLF+9f3qKwEcb50jrxTwZ1OnTlVsbKzzlp6e7qqX41UOz6xPyAcAAAAAX1XnkL9mzRrdcMMNRy2//vrrtXr16jpta/z48c4Z+493q+5qL0njxo3T0qVL9c033ygoKEjXXnut6jHaoE4mTJigvLw852379u1u3Z9ZqlvyuXweAAAAAPiuWl9Cr1pycrKWLVumVq1a1Vi+bNkypaSk1GlbY8eO1YgRI064TkZGhvP3pKQkJSUlqXXr1mrXrp3S09P1yy+/KDMzU6mpqdqzZ0+N51bfT01Ndf481jrVjx+LzWaTzWary8vySbTkAwAAAIDvq3XI/+c//6m77rpLI0eO1I033qhNmzapd+/ekqT58+fr0Ucf1ZgxY+q08+TkZCUnJ9et4ioOh0NS5Zh5ScrMzNR9992n8vJy5zj9OXPmqE2bNoqPj3eu89133+nOO+90bmfOnDnKzMysVw3+oqTcrr0Flf+OtOQDAAAAgO+q9ez6QUFB2r17t5KTk/Xkk0/q8ccfd16nvmHDhho3bpxuv/12t1x+beHChfr11191xhlnKD4+Xhs3btQDDzygPXv2aNWqVbLZbMrLy1ObNm00aNAg3XPPPVq5cqWuv/56PfHEE7rxxhslVV5Cr2/fvnrkkUc0dOhQvfPOO3r44Yf122+/qWPHjrWqxR9n19+075D6Pz5PEaFBWjVlMJfQAwAAAAAv4pbZ9avPBVgsFo0ePVo7duxwjlPfsWOH7rjjDreFw4iICH300UcaMGCA2rRpoxtuuEGdO3fWvHnznF3pY2Nj9c0332jz5s3q0aOHxo4dq4kTJzoDviT17t1bb731ll588UV16dJFH3zwgT755JNaB3x/dWRXfQI+AAAAAPiuWrfkW61W7dmzp97d6/2FP7bkv7Vwm+79+Hf1b5uiV0acYnY5AAAAAIAj1CWH1mnivdatW/9lS29OTk5dNgkvcHhmfSbdAwAAAABfVqeQP2XKFMXGxrqrFpiEmfUBAAAAwD/UKeRffvnldb5MHrzf4ZZ8ZtYHAAAAAF9W64n3mJDNf9GSDwAAAAD+oc6z68O/lFbYtbegVJLUKI6QDwAAAAC+rNbd9R0OhzvrgEl25ZZIksJDgpQQGWpyNQAAAACAk1Hrlnz4pyNn1mdIBgAAAAD4NkJ+gGM8PgAAAAD4D0J+gGNmfQAAAADwH4T8AEdLPgAAAAD4D0J+gDsc8mnJBwAAAABfR8gPcEdOvAcAAAAA8G2E/ABWWmHXnvxSSYR8AAAAAPAHhPwAtiu3RJIUHhKkhMhQk6sBAAAAAJwsQn4AO7KrvsViMbkaAAAAAMDJIuQHMGbWBwAAAAD/QsgPYNUt+Y0I+QAAAADgFwj5AWwnl88DAAAAAL9CyA9gdNcHAAAAAP9CyA9gO2jJBwAAAAC/QsgPUKUVdu0pqLyEHi35AAAAAOAfCPkBanduiQxDCguxKjEy1OxyAAAAAAAuQMgPUEd21bdYLCZXAwAAAABwBUJ+gKq+fB5d9QEAAADAfxDyAxQz6wMAAACA/yHkB6jDLfnMrA8AAAAA/oKQH6BoyQcAAAAA/0PID1BHTrwHAAAAAPAPhPwAVFph156CEkm05AMAAACAPyHkB6DduSUyDCksxKrEyFCzywEAAAAAuAghPwDtzK3sqt8oLlwWi8XkagAAAAAArkLID0DMrA8AAAAA/omQH4CYWR8AAAAA/BMhPwAxsz4AAAAA+CdCfgA63F2flnwAAAAA8CeE/ABEd30AAAAA8E+E/ABTVuFQdn6JJLrrAwAAAIC/IeQHmN15xTIMyRZsVVJUqNnlAAAAAABciJAfYI7sqm+xWEyuBgAAAADgSoT8AHN40j266gMAAACAvyHkBxgm3QMAAAAA/0XIDzDVIb8RIR8AAAAA/A4hP8DQXR8AAAAA/BchP8DspLs+AAAAAPgtQn4AKatwKDu/RBIhHwAAAAD8kc+F/NLSUnXt2lUWi0XLli2r8diKFSvUp08fhYWFKT09XdOmTTvq+e+//77atm2rsLAwderUSV999ZWHKjdfdl6JHIZkC7YqOcpmdjkAAAAAABfzuZB/9913q2HDhkctz8/P16BBg9S0aVMtWbJEjz32mCZPnqwXX3zRuc6CBQt0xRVX6IYbbtDSpUs1bNgwDRs2TCtXrvTkSzBN9Xj8RvHhslgsJlcDAAAAAHA1nwr5X3/9tb755htNnz79qMfefPNNlZWV6ZVXXlGHDh10+eWX6/bbb9eMGTOc6zz11FMaMmSIxo0bp3bt2unBBx9U9+7d9eyzz3ryZZjm8OXzmHQPAAAAAPyRz4T8PXv2aOTIkfrf//6niIijQ2pWVpbOPPNMhYaGOpcNHjxY69at08GDB53rDBw4sMbzBg8erKysrOPut7S0VPn5+TVuvurwzPqMxwcAAAAAf+QTId8wDI0YMUI33XSTevbsecx1srOz1aBBgxrLqu9nZ2efcJ3qx49l6tSpio2Ndd7S09NP5qWYagcz6wMAAACAXzM15I8fP14Wi+WEt7Vr1+qZZ55RQUGBJkyY4PEaJ0yYoLy8POdt+/btHq/BVeiuDwAAAAD+LdjMnY8dO1YjRow44ToZGRn6/vvvlZWVJZut5ozwPXv21FVXXaXXXntNqamp2rNnT43Hq++npqY6fx5rnerHj8Vmsx21X19Fd30AAAAA8G+mhvzk5GQlJyf/5XpPP/20/vWvfznv79q1S4MHD9a7776rXr16SZIyMzN13333qby8XCEhIZKkOXPmqE2bNoqPj3eu89133+nOO+90bmvOnDnKzMx04avyTmUVDmXnl0gi5AMAAACAvzI15NdWkyZNatyPioqSJLVo0UKNGzeWJF155ZWaMmWKbrjhBt1zzz1auXKlnnrqKT3xxBPO591xxx3q27evHn/8cQ0dOlTvvPOOFi9eXOMye/4qO69EDkOyBVuVHOUfPRMAAAAAADX5xMR7tREbG6tvvvlGmzdvVo8ePTR27FhNnDhRN954o3Od3r1766233tKLL76oLl266IMPPtAnn3yijh07mli5Z1R31W8UFy6LxWJyNQAAAAAAd/CJlvw/a9asmQzDOGp5586d9dNPP53wuZdccokuueQSd5Xmtaon3WtEV30AAAAA8Ft+05KPE9uRy8z6AAAAAODvCPkBgpn1AQAAAMD/EfIDRHV3fUI+AAAAAPgvQn6A2HmQ7voAAAAA4O8I+QGg3O7Q7rzKkJ9OSz4AAAAA+C1CfgDIziuRw5BCg61KirKZXQ4AAAAAwE0I+QFge/Wke3HhslotJlcDAAAAAHAXQn4AqJ50rxFd9QEAAADArxHyA8AOJt0DAAAAgIBAyA8AO6q769OSDwAAAAB+jZAfAA635BPyAQAAAMCfEfIDwE5CPgAAAAAEBEK+nyu3O7Q7jzH5AAAAABAICPl+LjuvRA5DCg2yKjnKZnY5AAAAAAA3IuT7uSMvn2e1WkyuBgAAAADgToR8P8fM+gAAAAAQOAj5fo6Z9QEAAAAgcBDy/dzhkM+kewAAAADg7wj5fo7u+gAAAAAQOAj5fo7u+gAAAAAQOAj5fqzC7lB2fokkuusDAAAAQCAg5Pux3XklsjsMhQZZlRxlM7scAAAAAICbEfL9WHVX/YZxYbJaLSZXAwAAAABwN0K+Hzs86R5d9QEAAAAgEBDy/RiT7gEAAABAYCHk+zFCPgAAAAAEFkK+H9uZS3d9AAAAAAgkhHw/Rks+AAAAAAQWQr6fqrA7tDuvRBIt+QAAAAAQKAj5fio7v0R2h6GQIItSom1mlwMAAAAA8ABCvp+q7qrfKC5cVqvF5GoAAAAAAJ5AyPdTh8fj01UfAAAAAAIFId9P7ThYPbM+k+4BAAAAQKAINrsAuEfnxrG6slcT9WqeYHYpAAAAAAAPIeT7qf5tG6h/2wZmlwEAAAAA8CC66wMAAAAA4CcI+QAAAAAA+AlCPgAAAAAAfoKQDwAAAACAnyDkAwAAAADgJwj5AAAAAAD4CUI+AAAAAAB+gpAPAAAAAICfIOQDAAAAAOAngs0uwNcYhiFJys/PN7kSAAAAAEAgqM6f1Xn0RAj5dVRQUCBJSk9PN7kSAAAAAEAgKSgoUGxs7AnXsRi1ORUAJ4fDoV27dik6OloWi8Xsck4oPz9f6enp2r59u2JiYswuBz6IYwiuwHEEV+A4gitwHOFkcQzBFepzHBmGoYKCAjVs2FBW64lH3dOSX0dWq1WNGzc2u4w6iYmJ4UMIJ4VjCK7AcQRX4DiCK3Ac4WRxDMEV6noc/VULfjUm3gMAAAAAwE8Q8gEAAAAA8BOEfD9ms9k0adIk2Ww2s0uBj+IYgitwHMEVOI7gChxHOFkcQ3AFdx9HTLwHAAAAAICfoCUfAAAAAAA/QcgHAAAAAMBPEPIBAAAAAPAThHwAAAAAAPwEId9PPffcc2rWrJnCwsLUq1cvLVq0yOyS4MUmT54si8VS49a2bVvn4yUlJRo1apQSExMVFRWliy66SHv27DGxYpjtxx9/1HnnnaeGDRvKYrHok08+qfG4YRiaOHGi0tLSFB4eroEDB+qPP/6osU5OTo6uuuoqxcTEKC4uTjfccIMOHTrkwVcBs/3VcTRixIijPpuGDBlSYx2Oo8A2depUnXLKKYqOjlZKSoqGDRumdevW1VinNt9h27Zt09ChQxUREaGUlBSNGzdOFRUVnnwpMFFtjqOzzjrrqM+jm266qcY6HEeB7fnnn1fnzp0VExOjmJgYZWZm6uuvv3Y+7snPIkK+H3r33Xc1ZswYTZo0Sb/99pu6dOmiwYMHa+/evWaXBi/WoUMH7d6923n7+eefnY+NHj1an3/+ud5//33NmzdPu3bt0oUXXmhitTBbYWGhunTpoueee+6Yj0+bNk1PP/20XnjhBS1cuFCRkZEaPHiwSkpKnOtcddVVWrVqlebMmaMvvvhCP/74o2688UZPvQR4gb86jiRpyJAhNT6b3n777RqPcxwFtnnz5mnUqFH65ZdfNGfOHJWXl2vQoEEqLCx0rvNX32F2u11Dhw5VWVmZFixYoNdee00zZ87UxIkTzXhJMEFtjiNJGjlyZI3Po2nTpjkf4zhC48aN9cgjj2jJkiVavHix+vfvrwsuuECrVq2S5OHPIgN+59RTTzVGjRrlvG+3242GDRsaU6dONbEqeLNJkyYZXbp0OeZjubm5RkhIiPH+++87l61Zs8aQZGRlZXmoQngzScbHH3/svO9wOIzU1FTjsccecy7Lzc01bDab8fbbbxuGYRirV682JBm//vqrc52vv/7asFgsxs6dOz1WO7zHn48jwzCM4cOHGxdccMFxn8NxhD/bu3evIcmYN2+eYRi1+w776quvDKvVamRnZzvXef75542YmBijtLTUsy8AXuHPx5FhGEbfvn2NO+6447jP4TjCscTHxxsvvfSSxz+LaMn3M2VlZVqyZIkGDhzoXGa1WjVw4EBlZWWZWBm83R9//KGGDRsqIyNDV111lbZt2yZJWrJkicrLy2scU23btlWTJk04pnBMmzdvVnZ2do1jJjY2Vr169XIeM1lZWYqLi1PPnj2d6wwcOFBWq1ULFy70eM3wXnPnzlVKSoratGmjm2++WQcOHHA+xnGEP8vLy5MkJSQkSKrdd1hWVpY6deqkBg0aONcZPHiw8vPznS1wCCx/Po6qvfnmm0pKSlLHjh01YcIEFRUVOR/jOMKR7Ha73nnnHRUWFiozM9Pjn0XBrnkZ8Bb79++X3W6vcXBIUoMGDbR27VqTqoK369Wrl2bOnKk2bdpo9+7dmjJlivr06aOVK1cqOztboaGhiouLq/GcBg0aKDs725yC4dWqj4tjfQ5VP5adna2UlJQajwcHByshIYHjCk5DhgzRhRdeqObNm2vjxo269957dc455ygrK0tBQUEcR6jB4XDozjvv1Omnn66OHTtKUq2+w7Kzs4/5eVX9GALLsY4jSbryyivVtGlTNWzYUCtWrNA999yjdevW6aOPPpLEcYRKv//+uzIzM1VSUqKoqCh9/PHHat++vZYtW+bRzyJCPgCdc845zt87d+6sXr16qWnTpnrvvfcUHh5uYmUAAtnll1/u/L1Tp07q3LmzWrRooblz52rAgAEmVgZvNGrUKK1cubLGnDJAXR3vODpyro9OnTopLS1NAwYM0MaNG9WiRQtPlwkv1aZNGy1btkx5eXn64IMPNHz4cM2bN8/jddBd388kJSUpKCjoqJka9+zZo9TUVJOqgq+Ji4tT69attWHDBqWmpqqsrEy5ubk11uGYwvFUHxcn+hxKTU09ajLQiooK5eTkcFzhuDIyMpSUlKQNGzZI4jjCYbfeequ++OIL/fDDD2rcuLFzeW2+w1JTU4/5eVX9GALH8Y6jY+nVq5ck1fg84jhCaGioWrZsqR49emjq1Knq0qWLnnrqKY9/FhHy/UxoaKh69Oih7777zrnM4XDou+++U2ZmpomVwZccOnRIGzduVFpamnr06KGQkJAax9S6deu0bds2jikcU/PmzZWamlrjmMnPz9fChQudx0xmZqZyc3O1ZMkS5zrff/+9HA6H8w8n4M927NihAwcOKC0tTRLHESov13nrrbfq448/1vfff6/mzZvXeLw232GZmZn6/fffa5wwmjNnjmJiYtS+fXvPvBCY6q+Oo2NZtmyZJNX4POI4wp85HA6VlpZ6/rPIFbMGwru88847hs1mM2bOnGmsXr3auPHGG424uLgaMzUCRxo7dqwxd+5cY/Pmzcb8+fONgQMHGklJScbevXsNwzCMm266yWjSpInx/fffG4sXLzYyMzONzMxMk6uGmQoKCoylS5caS5cuNSQZM2bMMJYuXWps3brVMAzDeOSRR4y4uDjj008/NVasWGFccMEFRvPmzY3i4mLnNoYMGWJ069bNWLhwofHzzz8brVq1Mq644gqzXhJMcKLjqKCgwLjrrruMrKwsY/Pmzca3335rdO/e3WjVqpVRUlLi3AbHUWC7+eabjdjYWGPu3LnG7t27nbeioiLnOn/1HVZRUWF07NjRGDRokLFs2TJj1qxZRnJysjFhwgQzXhJM8FfH0YYNG4x//vOfxuLFi43Nmzcbn376qZGRkWGceeaZzm1wHGH8+PHGvHnzjM2bNxsrVqwwxo8fb1gsFuObb74xDMOzn0WEfD/1zDPPGE2aNDFCQ0ONU0891fjll1/MLgle7LLLLjPS0tKM0NBQo1GjRsZll11mbNiwwfl4cXGxccsttxjx8fFGRESE8fe//93YvXu3iRXDbD/88IMh6ajb8OHDDcOovIzeAw88YDRo0MCw2WzGgAEDjHXr1tXYxoEDB4wrrrjCiIqKMmJiYozrrrvOKCgoMOHVwCwnOo6KioqMQYMGGcnJyUZISIjRtGlTY+TIkUedsOY4CmzHOn4kGa+++qpzndp8h23ZssU455xzjPDwcCMpKckYO3asUV5e7uFXA7P81XG0bds248wzzzQSEhIMm81mtGzZ0hg3bpyRl5dXYzscR4Ht+uuvN5o2bWqEhoYaycnJxoABA5wB3zA8+1lkMQzDqFvbPwAAAAAA8EaMyQcAAAAAwE8Q8gEAAAAA8BOEfAAAAAAA/AQhHwAAAAAAP0HIBwAAAADATxDyAQAAAADwE4R8AAAAAAD8BCEfAAAAAAA/QcgHAAD1smXLFlksFi1btsxt+xgxYoSGDRvmtu0DAOBvCPkAAASoESNGyGKxHHUbMmRIrZ6fnp6u3bt3q2PHjm6uFAAA1Faw2QUAAADzDBkyRK+++mqNZTabrVbPDQoKUmpqqjvKAgAA9URLPgAAAcxmsyk1NbXGLT4+XpJksVj0/PPP65xzzlF4eLgyMjL0wQcfOJ/75+76Bw8e1FVXXaXk5GSFh4erVatWNU4g/P777+rfv7/Cw8OVmJioG2+8UYcOHXI+brfbNWbMGMXFxSkxMVF33323DMOoUa/D4dDUqVPVvHlzhYeHq0uXLjVq+qsaAADwd4R8AABwXA888IAuuugiLV++XFdddZUuv/xyrVmz5rjrrl69Wl9//bXWrFmj559/XklJSZKkwsJCDR48WPHx8fr111/1/vvv69tvv9Wtt97qfP7jjz+umTNn6pVXXtHPP/+snJwcffzxxzX2MXXqVL3++ut64YUXtGrVKo0ePVpXX3215s2b95c1AAAQCCzGn0+RAwCAgDBixAi98cYbCgsLq7H83nvv1b333iuLxaKbbrpJzz//vPOx0047Td27d9e///1vbdmyRc2bN9fSpUvVtWtXnX/++UpKStIrr7xy1L7++9//6p577tH27dsVGRkpSfrqq6903nnnadeuXWrQoIEaNmyo0aNHa9y4cZKkiooKNW/eXD169NAnn3yi0tJSJSQk6Ntvv1VmZqZz2//4xz9UVFSkt95664Q1AAAQCBiTDwBAAOvXr1+NEC9JCQkJzt+PDNPV9483m/7NN9+siy66SL/99psGDRqkYcOGqXfv3pKkNWvWqEuXLs6AL0mnn366HA6H1q1bp7CwMO3evVu9evVyPh4cHKyePXs6u+xv2LBBRUVFOvvss2vst6ysTN26dfvLGgAACASEfAAAAlhkZKRatmzpkm2dc8452rp1q7766ivNmTNHAwYM0KhRozR9+nSXbL96/P6XX36pRo0a1XiserJAd9cAAIC3Y0w+AAA4rl9++eWo++3atTvu+snJyRo+fLjeeOMNPfnkk3rxxRclSe3atdPy5ctVWFjoXHf+/PmyWq1q06aNYmNjlZaWpoULFzofr6io0JIlS5z327dvL5vNpm3btqlly5Y1bunp6X9ZAwAAgYCWfAAAAlhpaamys7NrLAsODnZOVvf++++rZ8+eOuOMM/Tmm29q0aJFevnll4+5rYkTJ6pHjx7q0KGDSktL9cUXXzhPCFx11VWaNGmShg8frsmTJ2vfvn267bbbdM0116hBgwaSpDvuuEOPPPKIWrVqpbZt22rGjBnKzc11bj86Olp33XWXRo8eLYfDoTPOOEN5eXmaP3++YmJiNHz48BPWAABAICDkAwAQwGbNmqW0tLQay9q0aaO1a9dKkqZMmaJ33nlHt9xyi9LS0vT222+rffv2x9xWaGioJkyYoC1btig8PFx9+vTRO++8I0mKiIjQ7Nmzdccdd+iUU05RRESELrroIs2YMcP5/LFjx2r37t0aPny4rFarrr/+ev39739XXl6ec50HH3xQycnJmjp1qjZt2qS4uDh1795d995771/WAABAIGB2fQAAcEwWi0Uff/yxhg0bZnYpAACglhiTDwAAAACAnyDkAwAAAADgJxiTDwAAjokRfQAA+B5a8gEAAAAA8BOEfAAAAAAA/AQhHwAAAAAAP0HIBwAAAADATxDyAQAAAADwE4R8AAAAAAD8BCEfAAAAAAA/QcgHAAAAAD/33HPPqVmzZgoLC1OvXr20aNEis0uCmxDyAQAAAMCPvfvuuxozZowmTZqk3377TV26dNHgwYO1d+9es0uDG1gMwzDMLgIAAAAA4B69evXSKaecomeffVaS5HA4lJ6erttuu03jx483uTq4Gi35AAAAAOBjSktLlZ+fX+NWWlp61HplZWVasmSJBg4c6FxmtVo1cOBAZWVlebJkeEiw2QX4ouuT7jC7BFNEhphdgTm6xReZXYIpwoIqzC7BFLG2o78cA0FsWGAe51HhxWaXYIrExByzSzCFLSIw3++I5FyzSzBFaGpgHudBDQPzz/ugy/LNLqHe7HqzXs+bOvUPTZkypcaySZMmafLkyTWW7d+/X3a7XQ0aNKixvEGDBlq7dm299g3vFpifAgAAAADgBRwOe72eN2HCBI0ZM6bGMpvN5oqS4OMI+QAAAABgEsOoX+9Jm81Wq1CflJSkoKAg7dmzp8byPXv2KDU1tV77hndjTD4AAAAA+KnQ0FD16NFD3333nXOZw+HQd999p8zMTBMrg7vQkg8AAAAAJjGM+nXXr4sxY8Zo+PDh6tmzp0499VQ9+eSTKiws1HXXXef2fcPzCPkAAAAAYBJHPbvr18Vll12mffv2aeLEicrOzlbXrl01a9asoybjg38g5AMAAACASeo7Jr+ubr31Vt16660e2RfMRcgHAAAAAJN4KuQjcBDyAQAAAMAkhoOQD9ci5AMAAACAWWjJh4sR8gEAAADAJHTXh6sR8gEAAADALI5ysyuAnyHkAwAAAIBJaMmHqxHyAQAAAMAsTLwHFyPkAwAAAIBZCPlwMavZBQAAAAAAANegJR8AAAAAzMKYfLgYIR8AAAAATGKhuz5cjJAPAAAAAGYh5MPFCPkAAAAAYBZCPlyMkA8AAAAAJrEwJh8uRsgHAAAAALM47GZXAD9DyAcAAAAAkzDxHlyNkA8AAAAAZqElHy5GyAcAAAAAs9CSDxcj5MMnWIOssgZbZS+zyzAMs8sBAADAn1TYJbtDCgmSrFazq/EdFlry4WL894NPuOThi/XElsfV4rQWZpcCAACAY/jXlzHq9mCaFm8NNbsUIKDRkg8AAAAAZqElHy5GyAcAAAAAk9BdH65Gd30fFhkXoVOGdTO7DHhIaGyEmg/paXYZHhcaE6kmg081uwyPC4mJVNrZp5ldhscFR0cpqf/pZpfhcUHR0Yrr29fsMjzOGhmj8MyzzS7D4yyRMbKdMsTsMjwvPE7Bnc8zuwrPs8XL2vois6uAN3PY63cDjoOWfB926+s3qNVpGYqKj9QPr/5sdjlwswFP36LUHq1ki4vS2nfmml2Ox/R56laldG8tW1yk/nj3B7PL8Zgej41RQrc2Co2N0tYPvjW7HI9p9/B4xXRpr+DYGGV//LXZ5XhM88kTFdmxo4JionXg8y/MLsdjEsc+JlvbrsqNitWhOR+YXY7HxN76lEJa9dChqFgV//Cu2eV4TPi1L8na7FQpIl4Vv7xudjkeE3z+O7I0Ol0KS5RjxYtmlwMv5E0t+Vu2bNGDDz6o77//XtnZ2WrYsKGuvvpq3XfffQoNZa4FX0FLvg/78F9fqLSwTNc8don639DH7HLgZkue/FjlRaXqPfEqtbuyn9nleMzypz5URVGpTrn/WrW+YoDZ5XjMun+/q4qiEnUcf72aXjrI7HI8ZsuLb8heXKKWY/9PaReea3Y5HrP7lVflKC5W+u23KemC880ux2Py3nlORkmR4m+4R1GDLzG7HI8p/PBpGaVFir7mAYX3v8LscjymdNYjUlmhwv7+sEIyR5hdjsfY50+Syg4peMCTsna5yexy4I28qCV/7dq1cjgc+s9//qNVq1bpiSee0AsvvKB7773XLfuDexDyfdiGRZs145LnVZRfrKsfvVgD/kHQ92d7l27U7JFPqqygSJn3X6l2V/U3uySP2L9sg3646XGVFRSp571Xq/WVgRH0Dy5fr0W3ParyQ0XqePcINbssMIJ+we9rtWrMFFUcKlSLMTcq7aKhZpfkEYWrVmvjhPtkLyxU41tHBUzQL1u/Qvum3i5H0SHFX3e3ogZfanZJHlG+YalyZ/yfHEUFir76PoUPuNLskjzCsXWxil++SkZJvmzD/qWQ3teZXZJHGLt+UcXH58sozVNw/xmydiXooyaLw16vmzsMGTJEr776qgYNGqSMjAydf/75uuuuu/TRRx+5ZX9wD7/urr9//3698sorysrKUnZ2tiQpNTVVvXv31ogRI5ScnGxyhUf7x3NXqXn3pnV6juGovG78VY9crEMHi7TwwyXuKA1ucObU65XUqVmdnlP9fmfed4VKcw9p05eL3FCZe2U+9A8ldMqo25OMytfdc8LVKs0t1NavfnFDZe7VZcrNiutQx8tAVr3fHcaNUFnuIe2avcANlblX6/vvUFS7VnV7UtX73WL0SFXkF2jfnB/dUJl7Nbl7nCLatKnTcwyHQ5LU+NZRqsgvUO4PvjdEJeGWyQpt0aFuT6p63fHXjZPjUJ6K5s92Q2XuFf2PhxXSvGPdnmRUvu7oq+6V41CuShd+5YbK3Mt26ZMKSu9atydVvd+2Cx6UUXRQFcs+cXld7hY0+L+yptZxnpyq9zu43wxVFOfIse49N1QGn1TPwF5aWqrS0tIay2w2m2w2myuqcsrLy1NCQoJLtwn38tuQ/+uvv2rw4MGKiIjQwIED1bp1a0nSnj179PTTT+uRRx7R7Nmz1bPniT+gj/Wfx25UKMjinn+6hMbxSmvVoN7Pj06McmE1cLfItATFZaTV+/lh8dEurMZzItISFds88F53eGqiopo1rPfzQ+NjXFiN59gaJCuiaeN6Pz8kzjdfd2hKssKapNf7+cFxsS6sxnOCklIV0qhZvZ9vjYl3XTEeFJSQpuC0Op68PII12jf/gLbGNZI1pWW9n2+JTHRhNZ5jiU6XJaFuJ/FqiEhyXTHweZaqE1919fDUqZoyZUqNZZMmTdLkyZNdUFWlDRs26JlnntH06dNdtk24n8UwqppL/Mxpp52mLl266IUXXpDFYqnxmGEYuummm7RixQplZWWdcDuTJ08+6j9P1/BT1S3CO2a9TmqSoLs/uVVJTRL1/cs/6Y173DdxUWSI2zb9ly579FKdce3peurCZ7Qha4NH990tvsij+zuRqEZJOmfmWEU3StKat35Q1r/ectu+woIq3LbtuopslKQBL9+jqEZJWv/Od1r80Btu21esrfSvV/KQ8IbJOu2F+xXRMFlb3vtGq6bNdNu+YsO85zi3paWo09P/UlhainZ99JU2zXDfRFVR4cVu23ZdhaY2UMvHpik0NVX7PvtMO595zm37SkzMcdu26yoouaFSJj6v4OSGKpj9vnJfnea2fdkivOf9tiY1UvzdrygoqZGKvn9bh954yG37ikjOddu268oSn67wG9+TNSFdZQtmquzT+922r9BU7znOFdNUIRfPkiW2qezL/iP7D6Pdtqughua14U3+LEbvLY7UzOsO6NTmZR7dd9Bl+R7dnyuVLepRr+cZXRbUuiV//PjxevTRR0+4vTVr1qht27bO+zt37lTfvn111lln6aWXXqpXjTCH37bkL1++XDNnzjwq4EuSxWLR6NGj1a3bX19+bsKECRozZkyNZbc1n+CyOk9GcrNE3f3JbUpsHK9v//uj3prwodkluVRyRrLydueprPjoL4nU1qnau2mvHBX1O/Ppi6LTk3XOzLGKSkvU6je/1y8PvW12SR4R1ThZA165R5FpiVr31rdaMvVNs0vyiIhGKTrtP/crPDVJW96drVWPvWZ2SR4R1jBVHZ95UGENkrXrgy+16cn/ml2SR4Smpanl9GkKTUnRvk8+1c7n/m12SR4R1KCRUh54QcFJqSqY9a5yZwZGS1FQcrri7n5FQYlpKvr2TR16a6rZJXmEJaGpwv/vPVnjGqls/qsq++wBs0vyjNjmlQE/Jl32pc/LPnes2RW51Jb9QUqJcSgi9Oh2wz/2BqtZYoVCgkwozJfUs7t+Xbrmjx07ViNGjDjhOhkZh3sj7dq1S/369VPv3r314otcFcLX+G3IT01N1aJFi2qcjTrSokWL1KDBX3eLP9Z/Hnd11a+rkc9fo8TG8Zrzn3l6+z7/mgwjOSNZoz+9Q3s27NHzV/2nxmPNejTTLW/frD/m/6H/Xhc4ZxX7PnqDotIStep/32rh1MC55FLvR26sDPhvzNGSR93Xc8HbdH1wlMJTk7T57Vla/XjgXGqq9cQ7KwP++59r01Mvm12OxzQdf3dlwP/4Y+389wtml+MxiaP+WRnwv35Hua89bnY5HhMzcmplwJ/zhg69/YjZ5XhM2OVPVwb8n19W2eeTzC7HY4KHvFIV8J+Tfe44s8txqS37g3T1y4lqnlShF64+WOOxZdtCNPJ/CTq1eZmeveKgjtHuhioWw/2NVsnJybWej2znzp3q16+fevTooVdffVVWK3O1+xrvSKtucNddd+nGG2/UkiVLNGDAAGeg37Nnj7777jv997//9fmxJS/d8oZ6XdRDn0/3vQmK/kru7lztWr1Lbc5so1vevlk5Oyq73DXv2Uxn33a2wqPDtHbeWpOr9Kx5419Wi6G9tOz5wLmGtiQtmPBfNRt6mla+8JnZpXjUson/VsMhvbXhpY/NLsWj1j/4pJLPPlPbZwbWhFRbH31M8f37ac8bgdFTpVrOc5MUcfoQ5X8UOCdsJSn/pQmy9Rqqos8D54SOJJW8e4eCuw5T+XdPml2KR1XMukHWtpfJsdD/emw0iLGrdYMK/bLJpv/7X4LS4ipbpJdtD9F/f4pSYalVp7coJeD7kJ07d+qss85S06ZNNX36dO3bt8/5WGpqqomVoS78dky+JL377rt64okntGTJEtntlR86QUFB6tGjh8aMGaNLL63fpXquT7rDlWX6DE+PyQ8JC9HImf9Qu741e2M4HA69P+ED/fz6fI/U4U1j8j3Jm8bke5I3jcn3JG8ak+9J3jQm35O8aUy+J3nTmHxP8qYx+Z7kVWPyPcjTY/JLyqVb30rQgo01e75aLIYeGJqvy0/1zPeLL4/JL59fxyuSVAk5fZWLK5Fmzpyp66479uUt/Tg2+h2/DvnVysvLtX//fklSUlKSQkJOLq0S8j0n2Baska/+Q+37tZNUGfDfm/CB5nso4EuE/EBDyA8shPzAQsgPLIR8zyktl257O14/bwiTVBXw/5avy0/x3HeLT4f8n9rV63khfda4uBL4i4AYYBESEqK0tDSlpaWddMCHZ1WUVui/172kVd+tlsPh0Lv3vOfRgA8AAIATs4VIz1xxUH1alchiMTTpvDyPBnyf53DU7wYch9+OyYf/qCit0H+ufVFh0WEqzgvMVhgAAABvZguR/n3VQR0qtSg23O87CruUpZ6z6wPHQ8iHTzAcBgEfAADAiwVZRcCvD1rl4WKEfAAAAAAwCyEfLkbIBwAAAACzEPLhYoR8AAAAADALY/LhYoR8AAAAADCJhZZ8uBghHwAAAADMQsiHixHyAQAAAMAshHy4mNXsAgAAAAAAgGvQkg8AAAAAZqElHy5GyAcAAAAAszgMsyuAnyHkAwAAAIBZaMmHixHyAQAAAMAshHy4GCEfAAAAAMxCd324GCEfAAAAAMxi0JIP1yLkAwAAAIBZaMmHixHyAQAAAMAshHy4GCEfAAAAAMxCyIeLEfIBAAAAwCQMyYerWc0uAAAAAAAAuAYt+QAAAABgFrrrw8VoyQcAAAAAszjqeXOz0tJSde3aVRaLRcuWLXP/DuEyhHwAAAAAMIuXhvy7775bDRs2dP+O4HKEfAAAAAAwi1HPmxt9/fXX+uabbzR9+nT37ghuwZh8AAAAADCJ4bDU63mlpaUqLS2tscxms8lms51UPXv27NHIkSP1ySefKCIi4qS2BXPQkg8AAAAAZqlnd/2pU6cqNja2xm3q1KknVYphGBoxYoRuuukm9ezZ86S2BfMQ8gEAAADALA5LvW4TJkxQXl5ejduECROOuYvx48fLYrGc8LZ27Vo988wzKigoOO524Bvorg8AAAAAJqlvd/26dM0fO3asRowYccJ1MjIy9P333ysrK+uo7fbs2VNXXXWVXnvttXrVCs+yGIbBhRnr6Mr4O8wuwRStYzwwjacXig6xm12CKYrsQWaXYIpQa2Ae5zZrYH4VdErcZ3YJpigsDzW7BFMEWQLzOO/VbZnZJZhi765Us0swRYsHi8wuwRS27r+YXUK9lT0eWa/nhY4tdHEl0rZt25Sfn++8v2vXLg0ePFgffPCBevXqpcaNG7t8n3A9WvIBAAAAwCxG/Vry3aFJkyY17kdFRUmSWrRoQcD3IYR8AAAAADBJfbvrA8dDyAcAAAAAHKVZs2ZidLfvIeQDAAAAgFkcXPAMrkXIBwAAAACz0F0fLkbIBwAAAACTGF408R78AyEfAAAAAMxCd324GCEfAAAAAEzC7PpwNUI+AAAAAJiFkA8XI+QDAAAAgEkYkw9XI+QDAAAAgFkYkw8XI+QDAAAAgEkYkw9XI+QDAAAAgEnorg9XI+QDAAAAgFnorg8X44gCAAAAAMBP0JIPAAAAACZhTD5cjZAPAAAAACZhTD5cjZAPAAAAAGZhTD5cjJAPAAAAACahuz5cjZAPAAAAACahuz5cjZAPAAAAAGahuz5cjJAPAAAAACahuz5cjZAPAAAAACahuz5cjZAPAAAAACahJR+uxgAQHxMUbFVsSrTZZcBDrMFWRSTFmF2Gx1mDrYpMCrzjvPJ1B977HagsQUEKTYgzuwyPswQHyZYYa3YZHmcJCszXraBgWWKSzK4CHlJhN1RaZsjhMMwuxacYhrVeN+B4ODp8SEhYiO55/yY9v+5fGjSyj9nlwM2CbSG68OVbdfMvj6jbNWeZXY7HBNtCdMWrt2jMrw/rlOFnml2OxwTbQnTJK6N068Kp6n5tX7PLgZtZbaHq+uS96vPVf9X4kiFml+MxVluITnv6bg3+5t9qftkgs8vxGKstRKc+fY8Gzn5ezQLodSvEppjb/6PEx39UWP+rzK4GHjD11SKdMjxXS9ZWmF0KENAI+T4iNDxEd797ozqe1UaSNGLaxRryfwQBfxUcFqK/v3SLmp7eVpLUf9Kl6ja8n8lVuV9wWIguf+UmZZxReZwPmXyJTh3h/8d5cFiILn75ZjWrer/PnnSpeow4y9yi4DZWW6i6PD5BCad0liS1GXuD0i891+Sq3C8oLFS9nhqn5F4dJUmd7h6u5lcMNrkq97PaQnXKk3crqep1dxg3Qs0uD4ATO6Fhirn9eYW2z5QkRV1xn8IGXG1yUYCXcljqd3OjL7/8Ur169VJ4eLji4+M1bNgwt+4PrsWYfB9giwjVuHdvVPszWsnhcMhqtcrhcOjaRy6ULNKsF+aZXSJcKDg8VBe+dIvSe7WW4XDIYrXKcDjU/4FLZLFIv838wewS3SIkPFSXv3KTmp3WqsbrHjzpYsli0aJX55pdoluEhIfq4pduVpPTar7fAx+4RBZZtNhP3+9AZQ2zqeuMCYrv3qHG+916zHWSRdr+7ldml+gWQWE29XrqLiX1bF/jdXe661pZZNGmt2eZXaJbBIXZdMpT45TYo+br7nDXtZJF2uKnr1uh4Yq9/XmFtDm1xuuOuvxeSRaVfPc/sysEvIq3Tbz34YcfauTIkXr44YfVv39/VVRUaOXKlWaXhTqgJd/L2SJDdff7/6f2Z7TSqh/Xa/57iyVJb0/6TIW5Rbp26oU695azzC3Sw8JjI9Thb93NLsMtQiJsuujlUUrv1VrbstZp9ae/SpJ+fPQTleQVqd/9l6jH9f1NrtL1QiJCdcXMm9XstFbavGC9fv+k8jj/9pFPVZxXpMETL1KvG/yvJ0NIhE2XvDJKTU5rra1Z67Sq6v2eW/V+D3jgYp3ih+/3idhiI9T63B5ml+EWQeFh6vrEvYrv3kE5i1cqe9ZPkqQNz76h8vxDaj36OqVf8TeTq3S9oHCbTnvmbiX1bK99v67Sjq/mS5JWP/22yvIL1fGua5Rx1TkmV+l6QeE2nfL03Urs0V77f12lnV9Xvu61T7+t8vxCdRh7rZpf5Yc9OGwRir3jPwppc6rK1v6i0oWfS5KKPnxcjsI8RV0+QWFnDze5SNey2GyKHRBAwzDgcobDUq+bO1RUVOiOO+7QY489pptuukmtW7dW+/btdemll7plf3APQr6Xi0uJUWpGslbOXafHLn9RpcXlkqRNS7fr4b//W4W5RWp1SjNzi/Swy178hy5+ZrhOucb/5iWITI5RXLMUbZ2/Vh+P/LcqisskSdkrt+qD4U+rJK9Iad0yTK7S9aKSY5TQLFmbfl6nd254QeVVr3v3im1685pnVZxXpMbdm5tcpetFJscovlmytsxfqw/+8fzh1/37Nr07/BmV5BWpYTf/e90nct6//0/nPHGdOl/pf/MxhCbGKSI9TTm/rtDysVNlLymVJOWv3ailtz+o8vxDiu3Y2uQqXS8sMU6RTRpo38KVWnTndNlLKo/z3NWblXXLVJXlFyqhcyuTq3Q9W2KcIpukav/Clfr1zsec73fumk1aOOphlecXKr6T/71ua0ySglKaqmx1lvKfuUVGWYkkqWLLSuU/8Q85CvMUktHV3CJdyGILU5PJD6vRmPGKHRgAwzDgFvWdeK+0tFT5+fk1bqWlpSdVy2+//aadO3fKarWqW7duSktL0znnnENLvo+hu76X27N5vyYPflK5ewtUXlJe47HNy7brgYEztHfLAZOqM8d3j32uq2ferKH/ulQWq0WLXvvR7JJcJnfrPr196XQV7ctXRWnN93vPym1666Jpyt2+36Tq3Ofg1v2aedETOnSM17379+165e/TdXCb/x3nuVv36Y1LHlfhMV539u/b9PqFj/nl+30i8x//VMNeHqX+Uy6XxWrR8jf8ZzhS8Y5sLR55v8pycuUoLavxWMHaTfr1hntVsmuPSdW5T+GOPfr5uikqOZArx5+O87w1m/XT8Ikq2rnXpOrcp2jHHi24frJKj/O65494wC9ft2PfNuU+eqUceful8ppho2LrKuVOvVyOfTtMqs61qgN+ZOeuKvx9ufJ/mmt2SfBR9W2Vnzp1qqZMmVJj2aRJkzR58uR617Jp0yZJ0uTJkzVjxgw1a9ZMjz/+uM466yytX79eCQkJ9d42PIeWfB+wb1vOUQG/WvbGfXLYHR6uyFzbF2/W/679t0ryi3XuPy/RqSP8q8Uvf8eBowJftYNb9srw0/c79wSvO2fzPr993XkB+n4fz+7fNumT655VaUGx+k26TF387MoSJbv3HhXwqxVv3+2373fRrn1HBd1qhduy/fZ1Fwfo63bs33lUwHc+tmer5LB7uCLXs4SFqcmUqZUBf/lSbZs0XkZpidllwUcZhqVetwkTJigvL6/GbcKECcfcx/jx42WxWE54W7t2rRyOys+l++67TxdddJF69OihV199VRaLRe+//74n/1lwEmjJh1f4+4xr1KhL0zo9xzAqr8F67pRLVHywUL9/usQdpQE4SYOmDVdq5zr+/666xnK/iZeqJPeQ1n2+2B2lAUC9pN/3T0V26iJJCklNU8ZT/6nT8/e+9pIKsn52R2nwQfWdeM9ms8lms9Vq3bFjx2rEiBEnXCcjI0O7d++WJLVv377GfjIyMrRt27Z61QnPC+iQv337dk2aNEmvvPLKcdcpLS09amyL3ahQkCWg/+lcLrZhvJJaNqj38yMSolxYDQBXimkYr4QWqfV+fnhCtAurAYCTFxQb6/w9tEHdP9+skZGuLAc+zl2T6B0pOTlZycnJf7lejx49ZLPZtG7dOp1xxhmSpPLycm3ZskVNm9bthD3ME9BJNScnR6+99toJQ/6xxrp0tJ2qTuGnubu8gDLz8qfrtH5ceqJGvH2b4tITtej1H7XwVf8Ztwv4mw+ufrJO68c0TtTF/7tTMY0TtfyNeVr2GpcRBOBdtk+5T02nzpCtUWMd/OZr7X56ulTVwxCoK8PwnhHUMTExuummmzRp0iSlp6eradOmeuyxxyRJl1xyicnVobb8OuR/9tlnJ3y8emKJE5kwYYLGjBlTY9nIJsce6wLPiG+SpBHv3KbYRglaOHOevp70gdklAXCR2CZJuuh/dyqmYYKWvT5Xcx98z+ySAOAoFQf2a+uEMWo69XHFDzpHFqtVu56cFpBBf8tuu1LirYoIO7o1esN2u5qmWRUS7F3Xgfc2nmjJr4vHHntMwcHBuuaaa1RcXKxevXrp+++/V3x8vNmloZb8OuQPGzZMFovFOXb7WCyWE/+nOtZYF7rqm+vCp65VbKME/fLKXM2a8qHZ5QBwoSHTRyimYYKWvvaD5v2LCX4AeK+KA/u1dfwYNZ06Q3EDB6tozSrlzvrC7LI8astuu4ZPLlDzhkH69z01h04uX1+hmx4p0CntQ/TU2Mi//Js7kNV3TL67hISEaPr06Zo+fbrZpaCevKdviBukpaXpo48+ksPhOObtt99+M7tE1MPHd76uHx7/koAP+KFZd72mrKc+J+AD8AkVOQe0dfxo7X/vLeV+85XZ5XhcgwSrWjcJ0m9rK3TzIwUqrLrAQHXALyyWencOJuADHubXIb9Hjx5asuT4M67/VSs/vFPO1v2a9/Qss8sA4AZ52/Zp4bNfm10GANRaxcEc7X3tJcnhn5dEPJFwm0XPjItSZqdgLV1n11fzKy8R+vS7JSoqke67PkKXDwozuUrvV99L6AHH49chf9y4cerdu/dxH2/ZsqV++IEJnQAAAID6CAu16Om7otS78+HhrBaLdN91Ebrs7Npd3i3QGQ5LvW7A8fj14PI+ffqc8PHIyEj17dvXQ9UAAAAA/scWatFTY6M0+olDmr+8Qg/cEKGLBxDwa4tWebiaxaC/ep1dGX+H2SWYonVM4HVDk6ToELvZJZiiyB5kdgmmCLUG5nFuswbmV0GnxH1ml2CKwvJQs0swRZAlMI/zXt2WmV2CKfbuqvv16/1BiweLTNu33WGosMhQTJTnOwvbuv/i8X26yqYLT6/X8zI+mu/iSuAv/LolHwAAAIBnBFktiomiVbquHLTkw8UI+QAAAABgEsbXw9UI+QAAAABgEsbkw9UI+QAAAABgEkI+XI2QDwAAAAAmIeTD1Qj5AAAAAGASh+H5qxHAvxHyAQAAAMAkTLwHV+O0EQAAAAAAfoKWfAAAAAAwCWPy4WqEfAAAAAAwCSEfrkbIBwAAAACTOAj5cDFCPgAAAACYhJZ8uBohHwAAAABMQsiHqxHyAQAAAMAkdNeHqxHyAQAAAMAktOTD1Qj5AAAAAGASQj5cjZAPAAAAACahuz5czWp2AQAAAAAQqAzDUq+bu6xfv14XXHCBkpKSFBMTozPOOEM//PCD2/YH1yPkAwAAAAAkSX/7299UUVGh77//XkuWLFGXLl30t7/9TdnZ2WaXhloi5AMAAACASbypJX///v36448/NH78eHXu3FmtWrXSI488oqKiIq1cudIt+4TrEfIBAAAAwCQOw1KvmzskJiaqTZs2ev3111VYWKiKigr95z//UUpKinr06OGWfcL1mHgPAAAAAExS31b50tJSlZaW1lhms9lks9nqXYvFYtG3336rYcOGKTo6WlarVSkpKZo1a5bi4+PrvV14Fi35AAAAAGCS+rbkT506VbGxsTVuU6dOPeY+xo8fL4vFcsLb2rVrZRiGRo0apZSUFP30009atGiRhg0bpvPOO0+7d+/28L8M6stiGIZhdhG+5sr4O8wuwRStYxxml2CK6BC72SWYosgeZHYJpgi1BuZxbrMG5ldBp8R9ZpdgisLyULNLMEWQJTCP817dlpldgin27ko1uwRTtHiwyOwSTGHr/ovZJdTbvNMvrNfzTvv+7Vq35O/bt08HDhw44fYyMjL0008/adCgQTp48KBiYmKcj7Vq1Uo33HCDxo8fX69a4Vl01wcAAAAAk9S3u35duuYnJycrOTn5L9crKqo8SWS11uzwbbVa5XAEZkOIL6K7PgAAAACYxJsm3svMzFR8fLyGDx+u5cuXa/369Ro3bpw2b96soUOHumWfcD1CPgAAAACYxJsuoZeUlKRZs2bp0KFD6t+/v3r27Kmff/5Zn376qbp06eKWfcL16K5fDwUVgTlGe1VeYJ4TahsTmP9NHtn1ptklmCLa1sTsEkxxsChAr327wewCzFFwdwOzSzBF8YFYs0swRdRtSWaXYIroisAcm16W3t3sEkxR//nkzeeuVvn66tmzp2bPnm12GTgJgZleAAAAAMALuKtVHoGLkA8AAAAAJnGIkA/XCsz+1wAAAAAA+CFa8gEAAADAJHTXh6sR8gEAAADAJN428R58HyEfAAAAAExCSz5cjZAPAAAAACZxmF0A/A4hHwAAAABMQks+XI2QDwAAAAAmYUw+XI2QDwAAAAAmMUTIh2sR8gEAAADAJLTkw9UI+QAAAABgEodhdgXwN4R8AAAAADAJ3fXhaoR8AAAAADAJ3fXhalazCwAAAAAAAK5BSz4AAAAAmMRgTD5cjJAPAAAAACZxMCYfLkbIBwAAAACTGIzJh4sR8gEAAADAJEy8B1cj5AMAAACASRiSD1cj5AMAAACASWjJh6sR8gEAAADAJA6zC4DfIeQDAAAAgEmYeA+uZjW7AAAAAAAIVA7DUq+buzz00EPq3bu3IiIiFBcXd8x1tm3bpqFDhyoiIkIpKSkaN26cKioq3FYT6oaQ72OCgq2KS4k2uwx4iDXYqqjkwHu/g4OD1aBBitlleFxwcLBSGiSaXQbgXtZgWaKSza4CgBtUVDhUWmqXw8FUcnVh1PPmLmVlZbrkkkt08803H/Nxu92uoUOHqqysTAsWLNBrr72mmTNnauLEiW6sCnVByPchoWEhmvzRLfrfxqn62//1NbscuFmwLUTXvn6z7lnykHqNONPscjwmLCxMX3z5nnbsXKNRo0aaXY7HhIXZ9N4nz2rtpm818qbLzS4HcI/gMIVd/z9FPrBUIb2vM7saAC427Yn1On3AXP22LNfsUnASpkyZotGjR6tTp07HfPybb77R6tWr9cYbb6hr164655xz9OCDD+q5555TWVmZh6vFsRDyfYQtPEQTP7hJXfu1lST93/RLdN7NZ5lbFNwmJCxE18z8P7U4o40k6W//vFinXe//J3bCw8P12efvaMCAytf65FOP6LbbbjS5KvcLDw/TOx89rbP69ZIkPfr4Pfq/W64wuSrAxULCFHbdawpu1UeSZLvgQYWcfoPJRQGA+erbXb+0tFT5+fk1bqWlpW6vNysrS506dVKDBg2cywYPHqz8/HytWrXK7fvHXyPk+wBbRKgmfXiLuvRtI4ejcv5Nh8OhG6ddrPNvOcvc4uByIeGhuua1m5Rxeusa7/fQyRcp84azzC3OjSIiIvT5F++oX78+NV73jCem6vbb/8/k6twnIiJM7370jM7se2qN1z31sbt106grTa4OcJGQcIVf9z8FtzxdRtVxbjgcsp0/RSFnEPQBBDZHPW9Tp05VbGxsjdvUqVPdXm92dnaNgC/JeT87O9vt+8dfI+R7ubDIUE3+6BZ16tNKy+et09x3fpUkzXzgUx06WKSRj16sC27tb3KVnhUVF6Hef+9mdhluERoRqmtfv0nNM1tp0/z1WvHxYknSNw9/puK8Ip076UL1/kc/k6t0vcjISH3x5bvq2/cM/fDDT3rrzfclSePHT9bBg7l6fMbDuvPOY48L82WRkeF67+PndMaZPfXjvEV6752vJEmT739SuQfz9fC0cbrltqtNrtK1wsPDde2115hdhteJj4/XpZdeYnYZ7hEaofDr/6egFpmq2DBfFUs/kiSVff2QjKJc2c6bopA+fjY0JzRMtt4XmF2F18krcGjW/BKzy/C4vEMOzcqiCzOOzzAs9bpNmDBBeXl5NW4T/r+9e4+rqsr/P/4+YBxRAW8gmILiDc10KNPQGkkdzK9fx2YmLTUHI+ubg+PdSSolaxDNqV+mZjmZOJla42gzWuowRkx9Na9R3u96HK8pCAoCytm/P/xmw3iFzjkLDq9nj/V4dPbe5+z3EuWxP2etvXZS0nXPMWHCBNlstpu23bt3e7jncBeK/AquToNANWwWrKyM3Xql39squnhJkrRvq0MT+87ShZwCRXVsYjakh43/YKhGzotX3FMPmI7icrWCA1WvabAOfLlHC598R8UXr1wUHPvWobRBs3Uxt0CN721iNqQbhIaGqHnzSK1dm6m+Px+ggoICSdKWLVnq9fCvlJNzTp3uv89wStcLaVBfkc0b6/OMDRrwq5G6WHDl4vfrrTv1yz7DdC4nT/d1bGc4pevUqFFDn3zyNy1Y8J6GDIk3HadCWb58qRYvXqhhw541HcXlbAEhstVvqsv7vlBhWrx06aIkyfmvb3Xx3YGyCs7JN/xewyldyM9fQSPmKDBhiuxdHjGdpkIZPf2cJszI1YdrCkxH8ahRr+XruZn5WvL3qvcFB25PeUfy7Xa7AgMDSzW73X7dc4wdO1a7du26aYuMjLytvKGhoTp16lSpbd+/Dg0NLWv34QbVTAfAzZ04eEa/6/G6ck7lqbjwUql9+792aGy3P+jkoTOG0pmx6OUVev7Pw/T0a/3l42PT6j9+YTqSy2QfOaO5v/h/unD6vC4Xlf55H//2qN75+WvKcZw1lM59Dhw4pJ8+2EsnT55WYWHpi6AtW7LUpXOcDh48bCacGx06eFQPdxui06fOqrCw9D10WV/v1M9iB+vwoWOG0rnW9wV+bGxXZWb+Ux999GfTkSqU55+fqFWrVuitt2bKx8dHs2e/ZTqSy1hnD+viW4/IOv+ddLn0v2/nsW9VMLuPrGyHoXQu5uevoJFvya9VRxXv2aSiTWtMJ6pQfjuwlhKnnNOUd8/L6ZQG9KphOpJHjHjcX7+Zdl5T5l+UZUkDelY3HQkVjOXGx+F9Lzg4WMHBrnmySUxMjFJSUnT69GmFhFx5GlJ6eroCAwPVpk0bl5wDPw4j+ZXAqSNnrynwv3d8/2k5S5weTmTWng2HlPKrt1SQe1FPTe+nh5/xrpXnzx3NvqbA/97ZQ9957c/78GHHNQX+9/btO6CSkhIPJ/IMx5Hj1xT43zuw3+EV/a5Zs6Y+/XSFYmO76rPPMtSr139fna2BK9atW6eePXsrNzdXs2bN0PDhiaYjuZSVc/SaAv/qvjOHJGfl/3suew0FjZxzpcDftUG5M56Vii+aTlWhREf5ac4LtVXL36ap753XolVV4/dAdKtqentCgGr5S6lpF7VoNSP6KM1pla+5i8PhUFZWlhyOK9chWVlZysrK0oULFyRJcXFxatOmjQYPHqxvvvlGa9as0YsvvqjExMQbziSAZzGSjwph+NtPqPk9EWV6j9O68tvtqVcf1YXsfH25dIs7ogH4kZYt+7O6dr3yZVxkZFNt3bqxTO9PSnpRH3/8V3dEc6sFC+arY8cOZXrP94svzpz5hs6ePavFi5e4IxrcIOg3b8iv1ZXbinyDG6nOxLLNVslf9oaKv17rjmhu9cLMXG3ff/0vpm/E9n9DTNPeO6/atWz6rwf93ZDMvZ5/K1/bD1wu03tsPjZJlqYuuKigAB/17uLnnnCodNz5zPvymDRpkhYsWHD1dXT0lbWwMjIyFBsbK19fX61cuVLDhg1TTEyMatasqfj4eL388sumIuM/eH2Rf/HiRW3ZskV169a9ZvpIYWGhPvroI/3617++4fuLioqueRRFiVUiX5uvW/JWVfUb1dGdLRvc+sAbCKxfy4VpALjSv08PbNKkSZnfHxQU5MI0nhMe3lhRUVHlfr+rplXCM2wBda/+v2/9O8v+fv8AV8bxmJNnSnT4ePlnYuTkVbTy5vacPOPU4ePln1mXk+eds/JQPk4PTNcvi7S0NKWlpd30mIiICH366aeeCYQy8+oif+/evYqLi5PD4ZDNZtMDDzygJUuWKCwsTJKUm5urJ5988qZFfmpqqiZPnlxqW4s77lMre0e3Zq9qXvrvmWU6PiSirpJX/FYh4fW0+o9f6NO3M92UDMCP1afPI8rISFeLFi303ntpGjr0GVlW5bywL4uHHupRpuObNGmijIx0NWnSRLNnz9Gbb5bt9yLMypuZqKBx81WtQYQufrlMFxZMkqrA3/N5k+ve+qB/869TJXp6craOf+fUYz39NfC/Kt8oviS9N6lsX8r863SJhr5yQcfPOPXYz+wa9DBTmvEDvvKBq3n1PfnPPfec2rZtq9OnT2vPnj0KCAhQly5d5HDc/gI/13s0RXM/L1oFuBJq0KS+Jq8coZDwelo1N1PzxrOAF1CRHTt2TLGxPbR3714lJAzR/PnzZLNVrFEL0yIjI5WZuVZNmjTRzJmzNXz4CNORUEbOnFPKnT5El08elv8Dv1TAkykSf89LOXrysp5KvlLgP/6wv54fGlglfhccPVWihJfP6/gZpwbE2fVCQg2v6vcRR4EuXrz+bI4DBy/o8mVK2Fsp7yP0gBvx6iJ/3bp1Sk1NVf369dW8eXOtWLFCPXv21IMPPqiDBw/e1mdc79EUTNU3a8TcwarfuK4+fftzvfe7v5iOA+A2HD9+XLGxPbRnzx7Fxw/W008PNR2pQlm4cIHCw8M1Y8ZMjRgxynQclJPz3On/K/QPqXrnvqr+4KOmI1Uoz7+Zp5NnnRrYy19JTwWajuMxSbPzdfKspYEP25X0pHc9UeCIo0BDf7NZI8ZlqaCg9BoF327PVcKzm/W7F7dVidlbP0Z5H6EH3IhXT9e/ePGiqlX7oYs2m01z5szR8OHD1bVrVy1atMhgOpTXzP95Xw/066Clr642HQVAGZw4cUKxsT00YsRwvfvuPNNxKpTBg4do4MDH9corKaaj4Edy5n6n3OlD5N/9CRV+wRfR/y7lt4H69MtCPduvaq2jM+U3NfXp/xbr2V9VzlsTbqZBiF0tmtXSxi05+u3YLIWFXnk84LYduUp7/7DyC0p0/311vWrmAlAZeHWRHxUVpc2bN6t169alts+aNUuS9POf/9xELPxIJw+docAHKqmTJ0/q+edfNB2jwjlw4AAFvhdx5p5R/rI3TMeocMLDqlW5Al+SwkN9vbLAl6Tq1X31+qvtNXbCt9qwKVvfbMuVJM1+54BsNmnC2FZ69BeNDKes+JjoAFfz6un6v/jFL7R48eLr7ps1a5YGDBjA9CEAAACgnKrbffX61HaK6fjDIow2m/QcBf5tc8pWrgbciFcX+UlJSTd9tMNbb7119ZnEAAAAAMrObvfVH1LbqfP99WSzSUnjovToIxT4t8tpla8BN2KzGMousz4Bw01HMKK6r1d/J3RDUVVnbaBSph7/wHQEIwLs4aYjGJFTsN10BHjQ+d81MB3BiItng0xHMCJgRD3TEYywXS42HcGI4sb3GDt3SYml/PzLCgy8w+PnDgh+y+PndJWXIn5bvvcd4VGruD6vvicfAAAAgGf4+tqMFPiVHVPv4WoU+QAAAABgCPOq4WoU+QAAAABgCCuEwdUo8gEAAADAEBbRg6tR5AMAAACAIdT4cDWKfAAAAAAwxGmx8B5ciyIfAAAAAAxh4T24WtV88DkAAAAAAF6IkXwAAAAAMITV9eFqFPkAAAAAYAjT9eFqFPkAAAAAYAgj+XA1inwAAAAAMMTJSD5cjCIfAAAAAAyhxoerUeQDAAAAgCGM5MPVeIQeAAAAABhiWeVr7pKSkqLOnTurRo0aql279jX7v/nmGw0YMECNGzeWv7+/WrdurRkzZrgvEMqMkXwAAAAAMKSiLbxXXFysfv36KSYmRvPmzbtm/5YtWxQSEqKFCxeqcePGWrdunZ555hn5+vpq+PDhBhLjP1HkAwAAAIAhFW26/uTJkyVJaWlp192fkJBQ6nVkZKTWr1+vZcuWUeRXEBT5AAAAAGBIBavxyyU3N1d169Y1HQP/hyIfAAAAACqZoqIiFRUVldpmt9tlt9s9mmPdunX68MMP9cknn3j0vLgxFt4DAAAAAEOcVvlaamqqgoKCSrXU1NTrnmPChAmy2Ww3bbt37y5z9u3bt6tv375KTk5WXFzcj/2jgIswkg8AAAAAhpR3pfykpCSNGTOm1LYbjeKPHTtWQ4YMuennRUZGlun8O3fuVPfu3fXMM8/oxRdfLNN74V4U+QAAAABgSHlX1y/L1Pzg4GAFBweX80zX2rFjh7p166b4+HilpKS47HPhGhT5AAAAAGBIRVtd3+FwKDs7Ww6HQyUlJcrKypIkNW/eXLVq1dL27dvVrVs39ezZU2PGjNHJkyclSb6+vi79IgHlR5EPAAAAAIZUsBpfkyZN0oIFC66+jo6OliRlZGQoNjZWS5cu1XfffaeFCxdq4cKFV4+LiIjQ4cOHPR0X18HCewAAAABgSHkX3nOXtLQ0WZZ1TYuNjZUkvfTSS9fdT4FfcTCSDwAAAACGlHfhPeBGKPIBAAAAwJDyLrwH3AhFPm7bknOdTEeAB70kft4AvIu/6QCAB3BxX/k4GcqHi/F7AAAAAAAMocSHq1HkAwAAAIAhFe0Reqj8WF0fAAAAAAAvwUg+AAAAABhiMWEfLkaRDwAAAACGMF0frkaRDwAAAACG8Ag9uBpFPgAAAAAYYvEIPbgYRT4AAAAAGMJIPlyNIh8AAAAADGEkH65GkQ8AAAAAhjCSD1ejyAcAAAAAQ5yM5MPFKPIBAAAAwBBLFPlwLYp8AAAAADCE6fpwNYp8AAAAADDEyUg+XMzHdAAAAAAAAOAajOQDAAAAgCEsvAdXo8gHAAAAAENYeA+uRpEPAAAAAIZwTz5cjSIfAAAAAAyhyIerUeQDAAAAgCFM14ersbo+AAAAABjilFWu5i4pKSnq3LmzatSoodq1a9/02LNnz6pRo0ay2Ww6d+6c2zKhbCjyAQAAAMAQp81ZruYuxcXF6tevn4YNG3bLY5966im1a9fObVlQPhT5AAAAAGBIRRvJnzx5skaPHq277777psfNmTNH586d07hx49yWBeXDPfkAAAAAYIil8o3KFxUVqaioqNQ2u90uu93uilg3tXPnTr388svasGGDDh486PbzoWwYya9kfKv5qHZIgOkYAAAAAFygvCP5qampCgoKKtVSU1PdnreoqEgDBgzQ9OnTFR4e7vbzoewYya9E/KrfoYkf/Y9+8lCU3hn3Z618J9N0JAAAAFRhGzcc1soV27R161Gd+e6CCgqKVbOWXeGN6+judneqW49WiolpKpvNZjqq10lKStKYMWNKbbvRKP6ECRM0bdq0m37erl27FBUVdVvnbd26tZ544onbDwuPosivJOz+d2jin59V+66tJEn/84d+svnYtGLO52aDAQAAoMrJyS7Q78Yv0/9+eWWqdoMGAYq+p7Fq1bLrwoUi7dt3Wos+2KRFH2xS6zah+svyZwwnrrjKu4heWabmjx07VkOGDLnpMZGRkbf1WZ999pm2bdumpUuXSpIs68r6APXr19cLL7ygyZMn39bnwH0o8isBew0/JS8dprsfbCGn0ykfHx85nU498+qjstmkv731uemIAAAAqCLy8gr1xMD5OnTorCIj62tici91ur/pNcft23taC9K+0qpPdxhIWXk4y3lPflkEBwcrODjYJZ/1l7/8RRcvXrz6etOmTUpISNAXX3yhZs2aueQc+HEo8iu46jX9lPyX36htl+b6JnOPzh47p24DOylt4l/Vf1xPPT3tUdl8fPTXWZ+ZjgoAAIAqIOWVVTp06KwaN66jD5Y8qaAg/+se16JliH4/5efq//i9Hk5YuXiiyC8Lh8Oh7OxsORwOlZSUKCsrS5LUvHlz1apV65pC/syZM5Kk1q1bq3bt2h5Oi+th4b0Krk6DQDVsFqysjN16pd/bKrp4SZK0b6tDE/vO0oWcAkV1bGI2JAAAAKoEhyNbn6zcLkl6LinuhgX+v2vX7k53x6rUyrfsnvu+GJg0aZKio6OVnJysCxcuKDo6WtHR0dq8ebPbzgnXYiS/gjtx8Ix+1+N15ZzKU3HhpVL79n/t0Nhuf9DJQ2cMpQMAAEBVkpmxT06npcCg6op9qKXpOF6hvPfku0taWprS0tJu+/jY2Nir9+WjYqDIrwROHTl7w33H95/2YBIAAABUZTt2nJAktWkTJh8fVsx3hYo2XR+VH0U+AAAAgNuSk1MgSapbt8Z19+/efVJ/SttwzfZfPRqtezvwTPXrsVRiOgK8jNcX+bt27dJXX32lmJgYRUVFaffu3ZoxY4aKior0xBNPqFu3bjd9f1FRkYqKikptK7FK5GvzdWdsAAAAoNI5eSJPHy//5prt93WMoMi/AUby4WpevfDe6tWr9ZOf/ETjxo1TdHS0Vq9erZ/+9Kfav3+/jhw5ori4OH322c1XpU9NTVVQUFCptr94i4d6AAAAAFQcdepcGcHPzi647v7Yh1pq555JV9v9Mdc+Wg+lOcv5H3AjXl3kv/zyyxo/frzOnj2r+fPna+DAgXr66aeVnp6utWvXavz48Zo6depNPyMpKUm5ubmlWnM/HgMCAACAqqdNm1BJ0s6dJ+R0stiaK1gqKVcDbsSri/wdO3ZoyJAhkqT+/fvr/PnzevTRR6/uHzRokL799tubfobdbldgYGCpxlR9AAAAVEVdH2opHx+b8nIL9c/MfabjeAVG8uFqXl3kS5LNdmXVTx8fH1WvXl1BQUFX9wUEBCg3N9dUNAAAAKBSiYioq17/dZckadrUv+v8+ULDiQD8J68u8ps0aaJ9+374hnH9+vUKD/9hwQ+Hw6GwsDAT0QAAAIBK6cVJvRQeUVdHDmdr4OPztWnj4esed+xf53TqZJ5nw1VClpzlasCNePXq+sOGDVNJyQ/3q7Rt27bU/lWrVt1ydX0AAAAAPwgK8tcHi5/U+LHL9NX6Q4of/CeFhgYqqnUDBQRUV1HRZR05nK29e0/JsqSWLUPUtm1D07ErLCf318PFvLrIf/bZZ2+6f8qUKR5KAgAAAHiPevVq6r20wVq//qA+WbFdX289qs2bHCosvKQaNf3UqFEd9et/r+Iebq37728qHx+b6cgVFqPycDWbZVksi1lGfQKGm45gxMfnY0xHAAAAAK7hq0GmI5Rbg1qdy/W+UxfWuTgJvIVXj+QDAAAAQEXGSD5cjSIfAAAAAAzhmfdwNYp8AAAAADDEaTGSD9eiyAcAAAAAQ5iuD1ejyAcAAAAAQyyL6fpwLYp8AAAAADDEyUg+XIwiHwAAAAAMsbgnHy7mYzoAAAAAAABwDUbyAQAAAMAQHqEHV6PIBwAAAABDmK4PV6PIBwAAAABDeIQeXI0iHwAAAAAM4RF6cDUW3gMAAAAAQyzLWa7mLikpKercubNq1Kih2rVr3/C4tLQ0tWvXTtWrV1dISIgSExPdlgllw0g+AAAAABhS0abrFxcXq1+/foqJidG8efOue8zrr7+u1157TdOnT1enTp2Un5+vw4cPezYobogiHwAAAAAMqWgL702ePFnSlZH668nJydGLL76oFStWqHv37le3t2vXzhPxcBuYrg8AAAAAhlhylqsVFRUpLy+vVCsqKnJ73vT0dDmdTh07dkytW7dWo0aN1L9/fx09etTt58btocgHAAAAAEMsq6RcLTU1VUFBQaVaamqq2/MePHhQTqdTU6ZM0RtvvKGlS5cqOztbP/vZz1RcXOz28+PWKPIBAAAAwBhnuVpSUpJyc3NLtaSkpOueYcKECbLZbDdtu3fvvr20TqcuXbqkN998Uz179tT999+vxYsXa9++fcrIyPiRfxZwBe7JBwAAAIBKxm63y26339axY8eO1ZAhQ256TGRk5G19VlhYmCSpTZs2V7cFBwerfv36cjgct/UZcC+KfAAAAAAwxBML7wUHBys4ONgln9WlSxdJ0p49e9SoUSNJUnZ2ts6cOaOIiAiXnAM/DkU+AAAAABhS0R6h53A4lJ2dLYfDoZKSEmVlZUmSmjdvrlq1aqlly5bq27evRo4cqblz5yowMFBJSUmKiorSQw89ZDY8JFHkAwAAAIBBFavInzRpkhYsWHD1dXR0tCQpIyNDsbGxkqQ//elPGj16tHr37i0fHx917dpVq1ev1h133GEiMv6DzbIsy3SIyqZPwHDTEYz4+HyM6QgAAADANXw1yHSEcvP1qVmu95U4812cBN6CkXwAAAAAMKSiTddH5UeRDwAAAADGUOTDtSjyAQAAAMAU7p6Gi1HkAwAAAIAhlijy4WIWKo3CwkIrOTnZKiwsNB3Fo+g3/a4K6Df9rgroN/2uCuh31eo3UBGxun4lkpeXp6CgIOXm5iowMNB0HI+h3/S7KqDf9LsqoN/0uyqg31Wr30BF5GM6AAAAAAAAcA2KfAAAAAAAvARFPgAAAAAAXoIivxKx2+1KTk6W3W43HcWj6Df9rgroN/2uCug3/a4K6HfV6jdQEbHwHgAAAAAAXoKRfAAAAAAAvARFPgAAAAAAXoIiHwAAAAAAL0GRDwAAAACAl6DIr0Rmz56tJk2aqHr16urUqZM2btxoOpJb/fOf/1SfPn3UsGFD2Ww2ffzxx6YjeURqaqruu+8+BQQEKCQkRI888oj27NljOpbbzZkzR+3atVNgYKACAwMVExOjVatWmY7lcVOnTpXNZtOoUaNMR3Grl156STabrVSLiooyHcsjjh07pieeeEL16tWTv7+/7r77bm3evNl0LLdq0qTJNT9vm82mxMRE09HcqqSkRBMnTlTTpk3l7++vZs2a6ZVXXlFVWPP4/PnzGjVqlCIiIuTv76/OnTtr06ZNpmO51K2uUyzL0qRJkxQWFiZ/f3/16NFD+/btMxPWhW7V72XLlikuLk716tWTzWZTVlaWkZxAVUaRX0l8+OGHGjNmjJKTk7V161a1b99ePXv21OnTp01Hc5v8/Hy1b99es2fPNh3FozIzM5WYmKivvvpK6enpunTpkuLi4pSfn286mls1atRIU6dO1ZYtW7R582Z169ZNffv21Y4dO0xH85hNmzbpnXfeUbt27UxH8Yi77rpLJ06cuNq+/PJL05HcLicnR126dNEdd9yhVatWaefOnXrttddUp04d09HcatOmTaV+1unp6ZKkfv36GU7mXtOmTdOcOXM0a9Ys7dq1S9OmTdOrr76qmTNnmo7mdkOHDlV6erref/99bdu2TXFxcerRo4eOHTtmOprL3Oo65dVXX9Wbb76pt99+Wxs2bFDNmjXVs2dPFRYWejipa92q3/n5+XrggQc0bdo0DycDcJWFSqFjx45WYmLi1dclJSVWw4YNrdTUVIOpPEeStXz5ctMxjDh9+rQlycrMzDQdxePq1Kljvfvuu6ZjeMT58+etFi1aWOnp6VbXrl2tkSNHmo7kVsnJyVb79u1Nx/C45557znrggQdMxzBu5MiRVrNmzSyn02k6ilv17t3bSkhIKLXtl7/8pTVo0CBDiTyjoKDA8vX1tVauXFlq+z333GO98MILhlK5139epzidTis0NNSaPn361W3nzp2z7Ha7tXjxYgMJ3eNm12eHDh2yJFlff/21RzMBsCxG8iuB4uJibdmyRT169Li6zcfHRz169ND69esNJoMn5ObmSpLq1q1rOInnlJSUaMmSJcrPz1dMTIzpOB6RmJio3r17l/p37u327dunhg0bKjIyUoMGDZLD4TAdye3+9re/qUOHDurXr59CQkIUHR2tP/7xj6ZjeVRxcbEWLlyohIQE2Ww203HcqnPnzlq7dq327t0rSfrmm2/05ZdfqlevXoaTudfly5dVUlKi6tWrl9ru7+9fJWbsSNKhQ4d08uTJUr/Tg4KC1KlTJ67dALhdNdMBcGtnzpxRSUmJGjRoUGp7gwYNtHv3bkOp4AlOp1OjRo1Sly5d1LZtW9Nx3G7btm2KiYlRYWGhatWqpeXLl6tNmzamY7ndkiVLtHXrVq+7X/VmOnXqpLS0NLVq1UonTpzQ5MmT9eCDD2r79u0KCAgwHc9tDh48qDlz5mjMmDF6/vnntWnTJo0YMUJ+fn6Kj483Hc8jPv74Y507d05DhgwxHcXtJkyYoLy8PEVFRcnX11clJSVKSUnRoEGDTEdzq4CAAMXExOiVV15R69at1aBBAy1evFjr169X8+bNTcfziJMnT0rSda/dvt8HAO5CkQ9UYImJidq+fXuVGflo1aqVsrKylJubq6VLlyo+Pl6ZmZleXegfPXpUI0eOVHp6+jWjXt7s30cy27Vrp06dOikiIkIfffSRnnrqKYPJ3MvpdKpDhw6aMmWKJCk6Olrbt2/X22+/XWWK/Hnz5qlXr15q2LCh6Shu99FHH+mDDz7QokWLdNdddykrK0ujRo1Sw4YNvf7n/f777yshIUF33nmnfH19dc8992jAgAHasmWL6WgA4PWYrl8J1K9fX76+vjp16lSp7adOnVJoaKihVHC34cOHa+XKlcrIyFCjRo1Mx/EIPz8/NW/eXPfee69SU1PVvn17zZgxw3Qst9qyZYtOnz6te+65R9WqVVO1atWUmZmpN998U9WqVVNJSYnpiB5Ru3ZttWzZUvv37zcdxa3CwsKu+dKqdevWVeJWBUk6cuSI/vGPf2jo0KGmo3jE+PHjNWHCBD3++OO6++67NXjwYI0ePVqpqammo7lds2bNlJmZqQsXLujo0aPauHGjLl26pMjISNPRPOL76zOu3QCYQJFfCfj5+enee+/V2rVrr25zOp1au3ZtlblfuSqxLEvDhw/X8uXL9dlnn6lp06amIxnjdDpVVFRkOoZbde/eXdu2bVNWVtbV1qFDBw0aNEhZWVny9fU1HdEjLly4oAMHDigsLMx0FLfq0qXLNY/E3Lt3ryIiIgwl8qz58+crJCREvXv3Nh3FIwoKCuTjU/pSy9fXV06n01Aiz6tZs6bCwsKUk5OjNWvWqG/fvqYjeUTTpk0VGhpa6totLy9PGzZs4NoNgNsxXb+SGDNmjOLj49WhQwd17NhRb7zxhvLz8/Xkk0+ajuY2Fy5cKDWqd+jQIWVlZalu3boKDw83mMy9EhMTtWjRIv31r39VQEDA1Xv3goKC5O/vbzid+yQlJalXr14KDw/X+fPntWjRIn3++edas2aN6WhuFRAQcM16CzVr1lS9evW8eh2GcePGqU+fPoqIiNDx48eVnJwsX19fDRgwwHQ0txo9erQ6d+6sKVOmqH///tq4caPmzp2ruXPnmo7mdk6nU/Pnz1d8fLyqVasalx99+vRRSkqKwsPDddddd+nrr7/W66+/roSEBNPR3G7NmjWyLEutWrXS/v37NX78eEVFRXnVdcutrlNGjRql3//+92rRooWaNm2qiRMnqmHDhnrkkUfMhXaBW/U7OztbDodDx48fl6SrX2yGhoYyiwHwFNPL++P2zZw50woPD7f8/Pysjh07Wl999ZXpSG6VkZFhSbqmxcfHm47mVtfrsyRr/vz5pqO5VUJCghUREWH5+flZwcHBVvfu3a2///3vpmMZURUeoffYY49ZYWFhlp+fn3XnnXdajz32mLV//37TsTxixYoVVtu2bS273W5FRUVZc+fONR3JI9asWWNJsvbs2WM6isfk5eVZI0eOtMLDw63q1atbkZGR1gsvvGAVFRWZjuZ2H374oRUZGWn5+flZoaGhVmJionXu3DnTsVzqVtcpTqfTmjhxotWgQQPLbrdb3bt394q//7fq9/z586+7Pzk52WhuoCqxWZZleej7BAAAAAAA4Ebckw8AAAAAgJegyAcAAAAAwEtQ5AMAAAAA4CUo8gEAAAAA8BIU+QAAAAAAeAmKfAAAAAAAvARFPgAAAAAAXoIiHwAAAAAAL0GRDwAAAACAl6DIBwAAAADAS1DkAwAAAADgJSjyAQAAAADwEv8fcSQFap7I2vcAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
],
"source": [
"#@title Q-learning\n",
"# Set for reproducibility, comment out / change seed value for different results\n",
"np.random.seed(42)\n",
"\n",
"\n",
"# TODO: Set number of episodes/trials\n",
"n_episodes = 300 # Number of episodes\n",
"n = 5 # Step size for n-step Q-learning\n",
"discount = 0.95 # Discount factor\n",
"alpha = 0.2 # Learning rate\n",
"max_step = 1000 # Maximum steps per episode\n",
"\n",
"# Initialize environment\n",
"env = gym.make('CliffWalking-v0')\n",
"\n",
"\n",
"learning_algorithm = learnEnvironment(env, n_episodes, n, alpha, discount, max_step, epsilon=0.1)\n",
"\n",
"# Solve Cliff Walking using SARSA\n",
"results = learning_algorithm.learn(env, n_step_q_learning, epsilon_greedy)\n",
"value_qlearning, reward_sums_qlearning = results\n",
"\n",
"\n",
"# Evaluate Q-learning\n",
"mean_reward, std_reward = evaluate_policy(env, value_qlearning)\n",
"print(f\"\\nqlearning mean_reward = {mean_reward:.2f} +/- {std_reward:.4f}\\n\")\n",
"\n",
"# Plot results\n",
"plot_performance(env, value_qlearning, reward_sums_qlearning)\n",
"\n",
"# Turn on render mode\n",
"# env = gym.make('CliffWalking-v0', render_mode='rgb_array')\n",
"# create_policy_eval_video(env, greedy_policy, 'qlearning', value_qlearning)\n"
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "n6AA9QgBNJXp"
},
"execution_count": null,
"outputs": []
}
],
"metadata": {
"colab": {
"provenance": []
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
},
"language_info": {
"name": "python"
}
},
"nbformat": 4,
"nbformat_minor": 0
}