{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bandits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this part, we will investigate the properties of the action selection schemes seen in the lecture and compare their properties:\n", "\n", "1. greedy action selection\n", "2. $\\epsilon$-greedy action selection\n", "3. softmax action selection\n", "\n", "Let's re-use the definitions of the last exercise:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "rng = np.random.default_rng()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Bandit:\n", " \"\"\"\n", " n-armed bandit.\n", " \"\"\"\n", " def __init__(self, nb_actions, mean=0.0, std_Q=1.0, std_r=1.0):\n", " \"\"\"\n", " :param nb_actions: number of arms.\n", " :param mean: mean of the normal distribution for $Q^*$.\n", " :param std_Q: standard deviation of the normal distribution for $Q^*$.\n", " :param std_r: standard deviation of the normal distribution for the sampled rewards.\n", " \"\"\"\n", " # Store parameters\n", " self.nb_actions = nb_actions\n", " self.mean = mean\n", " self.std_Q = std_Q\n", " self.std_r = std_r\n", " \n", " # Initialize the true Q-values\n", " self.Q_star = rng.normal(self.mean, self.std_Q, self.nb_actions)\n", " \n", " # Optimal action\n", " self.a_star = self.Q_star.argmax()\n", " \n", " def step(self, action):\n", " \"\"\"\n", " Sampled a single reward from the bandit.\n", " \n", " :param action: the selected action.\n", " :return: a reward.\n", " \"\"\"\n", " return float(rng.normal(self.Q_star[action], self.std_r, 1)[0])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_actions = 5\n", "bandit = Bandit(nb_actions)\n", "\n", "all_rewards = []\n", "for t in range(1000):\n", " rewards = []\n", " for a in range(nb_actions):\n", " rewards.append(bandit.step(a))\n", " all_rewards.append(rewards)\n", " \n", "mean_reward = np.mean(all_rewards, axis=0)\n", "\n", "plt.figure(figsize=(15, 5))\n", "plt.subplot(131)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(132)\n", "plt.bar(range(nb_actions), mean_reward)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(133)\n", "plt.bar(range(nb_actions), np.abs(bandit.Q_star - mean_reward))\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"Absolute error\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Greedy action selection\n", "\n", "In **greedy action selection**, we systematically chose the action with the highest estimated Q-value at each play (or randomly when there are ties):\n", "\n", "$$a_t = \\text{argmax}_a Q_t(a)$$\n", "\n", "We maintain estimates $Q_t$ of the action values (initialized to 0) using the online formula:\n", "\n", "$$Q_{t+1}(a_t) = Q_t(a_t) + \\alpha \\, (r_{t} - Q_t(a_t))$$\n", "\n", "when receiving the sampled reward $r_t$ after taking the action $a_t$. The learning rate $\\alpha$ can be set to 0.1 at first.\n", "\n", "The algorithm simply alternates between these two steps for 1000 plays (or steps): take an action, update its Q-value. \n", "\n", "**Q:** Implement the greedy algorithm on the 5-armed bandit.\n", "\n", "Your algorithm will look like this:\n", "\n", "* Create a 5-armed bandit (mean of zero, variance of 1).\n", "* Initialize the estimated Q-values to 0 with an array of the same size as the bandit.\n", "* **for** 1000 plays:\n", " * Select the greedy action $a_t^*$ using the current estimates.\n", " * Sample a reward from $\\mathcal{N}(Q^*(a_t^*), 1)$.\n", " * Update the estimated Q-value of the action taken.\n", " \n", "Additionally, you will store the received rewards at each step in an initially empty list or a numpy array of the correct size and plot it in the end. You will also plot the true Q-values and the estimated Q-values at the end of the 1000 plays. \n", "\n", "*Tip:* to implement the argmax, do not rely on `np.argmax()`. If there are ties in the array, for example at the beginning:\n", "\n", "```python\n", "x = np.array([0, 0, 0, 0, 0])\n", "```\n", "\n", "`x.argmax()` will return you the **first occurrence** of the maximum 0.0 of the array. In this case it will be the index 0, so you will always select the action 0 first. \n", "\n", "It is much more efficient to retrieve the indices of **all** maxima and randomly select one of them:\n", "\n", "```python\n", "a = rng.choice(np.where(x == x.max())[0])\n", "```\n", "\n", "`np.where(x == x.max())` returns a list of indices where `x` is maximum. `rng.choice()` randomly selects one of them." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Bandit\n", "bandit = Bandit(nb_actions)\n", "\n", "# Estimates\n", "Q_t = np.zeros(nb_actions)\n", "\n", "# Store the rewards after each step\n", "rewards = []\n", "\n", "# For 1000 plays\n", "for step in range(1000):\n", " \n", " # Select the action greedily w.r.t Q_t\n", " action = rng.choice(np.where(Q_t == Q_t.max())[0])\n", " \n", " # Sample the reward\n", " reward = bandit.step(action)\n", " \n", " # Store the received reward\n", " rewards.append(reward)\n", " \n", " # Update the Q-value estimate of the action\n", " Q_t[action] += alpha * (reward - Q_t[action])\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(131)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(132)\n", "plt.bar(range(nb_actions), Q_t)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(133)\n", "plt.plot(rewards)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Re-run your algorithm multiple times with different values of $Q^*$ (simply recreate the `Bandit`) and observe:\n", "\n", "1. How much reward you get.\n", "2. How your estimated Q-values in the end differ from the true Q-values.\n", "3. Whether greedy action action selection finds the optimal action or not." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** The plot with rewards is very noisy, you do not really see whether you have learned something because of the randomness of the rewards. More often than not, greedy action selection finds the optimal action, or least a not-that-bad action. The estimates `Q_t` have however nothing to see with the true Q-values, as you quickly select the same action and never update the other ones. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before going further, let's turn the agent into a class for better reusability. \n", "\n", "**Q:** Create a `GreedyAgent` class taking the bandit as an argument as well as the learning rate `alpha=0.1`:\n", "\n", "```python\n", "bandit = Bandit(nb_actions)\n", "\n", "agent = GreedyAgent(bandit, alpha=0.1)\n", "```\n", "\n", "The constructor should initialize the array of estimated Q-values `Q_t` and store it as an attribute.\n", "\n", "Define a method `act(self)` that returns the index of the greedy action based on the current estimates, as well as a method `update(self, action, reward)` that allows to update the estimated Q-value of the action given the obtained reward. Define also a `train(self, nb_steps)` method that implements the complete training process for `nb_steps=1000` plays and returns the list of obtained rewards.\n", "\n", "```python\n", "class GreedyAgent:\n", " def __init__(self, bandit, alpha):\n", " # TODO\n", " \n", " def act(self): \n", " action = # TODO\n", " return action\n", " \n", " def update(self, action, reward):\n", " # TODO\n", " \n", " def train(self, nb_steps):\n", " # TODO\n", "```\n", "\n", "Re-run the experiment using this Greedy agent." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "class GreedyAgent:\n", " \n", " def __init__(self, bandit, alpha):\n", " \n", " self.bandit = bandit\n", " self.alpha = alpha\n", " \n", " # Estimated Q-values\n", " self.Q_t = np.zeros(self.bandit.nb_actions)\n", " \n", " def act(self):\n", " \n", " action = rng.choice(np.where(self.Q_t == self.Q_t.max())[0])\n", " return action\n", " \n", " def update(self, action, reward):\n", " \n", " self.Q_t[action] += self.alpha * (reward - self.Q_t[action])\n", " \n", " \n", " def train(self, nb_steps):\n", " \n", " rewards = []\n", "\n", " for step in range(nb_steps):\n", "\n", " # Select the action \n", " action = self.act()\n", "\n", " # Sample the reward\n", " reward = self.bandit.step(action)\n", "\n", " # Store the received reward\n", " rewards.append(reward)\n", "\n", " # Update the Q-value estimate of the action\n", " self.update(action, reward)\n", " \n", " return np.array(rewards)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Bandit\n", "bandit = Bandit(nb_actions)\n", "\n", "# Estimates\n", "agent = GreedyAgent(bandit, alpha)\n", "\n", "# Train for 1000 plays\n", "rewards = agent.train(1000)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(131)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(132)\n", "plt.bar(range(nb_actions), agent.Q_t)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(133)\n", "plt.plot(rewards)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Modify the `train()` method so that it also returns a list of binary values (0 and 1) indicating for each play whether the agent chose the optimal action. Plot this list and observe the lack of exploration.\n", "\n", "*Hint:* the index of the optimal action is already stored in the bandit: `bandit.a_star`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "class GreedyAgent:\n", " def __init__(self, bandit, alpha):\n", " \n", " self.bandit = bandit\n", " self.alpha = alpha\n", " \n", " # Estimated Q-values\n", " self.Q_t = np.zeros(self.bandit.nb_actions)\n", " \n", " def act(self):\n", " \n", " action = rng.choice(np.where(self.Q_t == self.Q_t.max())[0])\n", " return action\n", " \n", " def update(self, action, reward):\n", " \n", " self.Q_t[action] += self.alpha * (reward - self.Q_t[action])\n", " \n", " def train(self, nb_steps):\n", " \n", " rewards = []\n", " optimal = []\n", "\n", " for step in range(1000):\n", "\n", " # Select the action \n", " action = self.act()\n", "\n", " # Sample the reward\n", " reward = self.bandit.step(action)\n", "\n", " # Store the received reward\n", " rewards.append(reward)\n", " \n", " # Optimal action\n", " if action == self.bandit.a_star:\n", " optimal.append(1.0)\n", " else:\n", " optimal.append(0.0)\n", "\n", " # Update the Q-value estimate of the action\n", " self.update(action, reward)\n", " \n", " return np.array(rewards), np.array(optimal)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Bandit\n", "bandit = Bandit(nb_actions)\n", "\n", "# Estimates\n", "agent = GreedyAgent(bandit, alpha)\n", "\n", "# Store the rewards after each step\n", "rewards, optimal = agent.train(1000)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(10, 10))\n", "plt.subplot(221)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(222)\n", "plt.bar(range(nb_actions), agent.Q_t)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(223)\n", "plt.plot(rewards)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(224)\n", "plt.plot(optimal)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The evolution of the received rewards and optimal actions does not give a clear indication of the successful learning, as it is strongly dependent on the true Q-values. To truly estimate the performance of the algorithm, we have to average these results over many runs, e.g. 200.\n", "\n", "**Q:** Run the learning procedure 200 times (new bandit and agent every time) and average the results. Give a unique name to these arrays (e.g. `rewards_greedy` and `optimal_greedy`) as we will do comparisons later. Compare the results with the lecture, where a 10-armed bandit was used." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = GreedyAgent(bandit, alpha)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** The greedy agent selects the optimal action around 80% of the time, vs. 50% for the 10-armed bandits. It is really not bad knowing that it starts at chance level (20% for 5 actions)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $\\epsilon$-greedy action selection\n", "\n", "The main drawback of greedy action selection is that it does not explore: as soon as it finds an action better than the others (with a sufficiently positive true Q-value, i.e. where the sampled rewards are mostly positive), it will keep selecting that action and avoid exploring the other options. \n", "\n", "The estimated Q-value of the selected action will end up being quite correct, but those of the other actions will stay at 0.\n", "\n", "In $\\epsilon$-greedy action selection, the greedy action $a_t^*$ (with the highest estimated Q-value) will be selected with a probability $1-\\epsilon$, the others with a probability of $\\epsilon$ altogether. \n", "\n", "$$\n", " \\pi(a) = \\begin{cases} 1 - \\epsilon \\; \\text{if} \\; a = a_t^* \\\\ \\frac{\\epsilon}{|\\mathcal{A}| - 1} \\; \\text{otherwise.} \\end{cases}\n", "$$\n", "\n", "If you have $|\\mathcal{A}| = 5$ actions, the four non-greedy actions will be selected with a probability of $\\frac{\\epsilon}{4}$.\n", "\n", "**Q:** Create a `EpsilonGreedyAgent` (possibly inheriting from `GreedyAgent` to reuse code) to implement $\\epsilon$-greedy action selection (with $\\epsilon=0.1$ at first). Do not overwrite the arrays previously calculated (mean reward and optimal actions), as you will want to compare the two methods in a single plot.\n", "\n", "To implement $\\epsilon-$greedy, you need to:\n", "\n", "1. Select the greedy action $a = a^*_t$.\n", "2. Draw a random number between 0 and 1 (`rng.random()`).\n", "3. If this number is smaller than $\\epsilon$, you need to select another action randomly in the remaining ones (`rng.choice()`).\n", "4. Otherwise, keep the greedy action." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "class EpsilonGreedyAgent(GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, epsilon):\n", " \n", " self.epsilon = epsilon\n", " \n", " # List of actions\n", " self.actions = np.arange(bandit.nb_actions)\n", " \n", " # Call the constructor of GreedyAgent\n", " super().__init__(bandit, alpha)\n", " \n", " def act(self):\n", " \n", " action = rng.choice(np.where(self.Q_t == self.Q_t.max())[0])\n", " \n", " if rng.random() < self.epsilon:\n", " action = rng.choice(self.actions[self.actions != action])\n", " \n", " return action" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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AKq+wBIJaSQHBt/Dus5Zl6L5CYp4PlsWds/5AbmEJ9p7JxyePXKPafv4zzrIs5m08ij2n8iSzj9KvD289lhW8kdbvP4shn25Hl8bVVdtBCImwUFxUtMUHLss7CexYyDuOS/uxMrcAx/+A4HPlpxeAuCpAl1GAvbLCxp5tts0FElOAZr21HdMIlgW2fAjk8wr+XNFZ7MhdAsCmfpxN7wO12wKNRN9dmVuB397133eVCIMmcZU7VwmwcSbQ+EagXid9bQ2Fs/8GLhN/z8pNrmvkNXWGvrBVKFEAVU5JnUjxu4NFquKWrs//r4aEPIA6d9mBhZuOof81KYizmoUPBjQuUhkwpS58DPixr0Olq6Vbx2sqVdCjoNiJS0VO1EqME0y6XFjsQmJ8YNChVOVNXIZ7d2au5HpKMmXGea35NwuNa1SEIBzT0P1h/b6zGLJgO968qxUGpDUIeJxlgXgUYZ39WRw/1Qar8Jjkfr776xQGCbdUPO4oi/wkibmF3PO87aj+yoVuFpjkqdLIH7/lJfn6sPIB1OebuUkXNx0+j6RKKicKhJAIC8F3klVi+orFD3BFAQSH4n3XuN0y/YEBzO/F/V+N1yV46xzu/ysXgD7vBm7Dd3o3sMozlcOrYewJc/wPYM244PahJQN1YDWwdjx3W/z7zL9FeN8tCqDEvVG2zeWmxFg/KbzPTTBMEmHFmb+NvaZax9FFCXXhK6ekzqPkxkWVGgavxk38/l/M1jKhrlIG6uBariyrKv8T/8j8bTggkW0yqXwp8rth8bMiUt2ztHXhY3Gt6T+03DgKV86fxL6sfN9j105Zh2unrMOp3CuC/cuNrdJT5c1IjC61zW8HcvD4oh3oMX2D7v098fkOAMDL3/wj+TjLAreatqE2cwHXFmbIt0v1SNrem/xCIEbezfzXRWquN9UMlEgwZc8JIaWATSKAEgdPgKi4gYauZRePBi47tUN5G5b1F6wIt4vHg9+HljFKFySeB0D6y9nlEO5T/DzzqubGpCr1pTNQRl/TGM9AUQBVTkmdGLmUSl7rlLH/LIYt/FN1biGlk8RtRy9gz2mNVyvWTgCmt+BKcxuwRcvVfrlopPACN8hx4e2AS+UDlXcC+9uBHAyev43b79IB/lVUTp3558DFJcoZKC1l4hkAS22TUPPEGvz14WDcPnM91v5zGgBwyVMoYcvh84KgWy6ACnfiUmqc1+p/zhjen9pFAxYsGEZLFBrYrrtn/+G7fUlqcmQJq//lTVqoMYJiNAS2XqoZKNFBhatTMEVImcKywJ/z/PcvHgN+nSSzLj8zIhFAnd0LvNfBf98slbFW+Qxh3erriP04Fng1kfv5Xzvpan6XsoEPOgObZ/GOFYLxReICCqxb/RzAS6qC4tupwOw0/33x8+xSGBd7JReY3QVYP0Xb8cOhpAgw8QKoVxMNjJ3joQCKxCKpcsahrNEw+NPt+GVvNl774T/F9eRO+IqdLtz/0Wa88o3ElTApf/wPuHSG6x8cKs4rQBEvgONfgfvvO2DDu9yTxp+du0RHkQMAp/OKuPka9v3oW6YUQLFgBCfMxU7/B6zUc6k1A+WV5DiF7fYn0eL720THFZ+oB+6nAoowpGiR5skEpYIhI+S69WnhlPhF/jqRi5e+2YMLBQ6uR5vBbjL7M/2B3fHz2tpo9Fheaq+39FAv3kZ5J4CfXvQNAJYte04IKf3EE6Me38x9r0m5xL+4IxF8fPMEcOGw/77ZbqxN/MqkWoooCALAo1ylPLEN7wLn9gNrXtK3bzWHfglcdvyPwGVSijRcHA4YA6UQQO1axI1R+u0tbccPB2dxYAbq2yeNn1yGqhR6mFAAVU7xu/J4sxTh6MKXJTNHjf/g0osNT/Sr9AGjINF1kRvoyp9xfeUzwFv1/ffP7OZKdAJcac9fJwEntgqvtIm/kDRhFO4F4p/TFvEyUFKvn+JEuhKamE6jKnMZ9RyBFXT42SypzNbTlm/Qv2g58HF3jFq8E1N+2gsGblSA9nmK1Pi2YVng25HA+smC50Czc4dk+6/fOesPLN6aiQ5vrBWM+1Jsl8SyFy38krza3s/BhitqGSj+331eYQk35xt/m8UPAFs/BBb0BaBcVZEQ4lGUD2QrXyxUVHwJyJLuRhyAP5lrsFc9i/OF909ul1+XfzLLD6Z8j4suElkkMlBndnPjek7+KXMQ4RhM1e9zqRPs4sue14NX8EBqP6Gqqit+3Yvzudfl9C7PGB7Ra8SyXFc8LecKeSf9t10lwIltwsfdbu6cxOlATPQQcDsDx0Dl7JNeVwunwmT1MYACqHKKn03wFiIQdOELmN+TxVc7TuK/06IPXBVaupCFlNtYWdFRue9yA13nXKe84twbhfcvZwu/xHQGUCYGAU+2niwEPwPlYlngco6gPfKds/yqM9peU3585pJ4XZsx/sn0fvz7DD767QiW2N7E3rhHUQO5mo6hxvdMZf0N7P4c+O1tySySor0/BM5vIePNldq6H0jFGR1M+ieGrAz9Y6D4h1Z7Kvhd+Nq+/jMGL9guPFKO5/fN5764+RkoiqUIkfFee+DDdK6qmhEfdgXmdAWOqJRrztkPzOps7BhSikSf/fxsjhi/O9X7HSRWEH1ASHXhczu579hPbpY/Dj8DpRZA/ThW+hiz0rh5iI5t9LRFYlxOqAKoD9OF95cNBLZ/AnzcHVj6YOD6e74CProe+LSP+r6XPOAvJPHD/wkntQWATe9x5yRfPwpY44y0PrTcJYEBVEmh8L2jY5oWOCkDRWIQvyuPd7C5W+Ls60jOZZzNL0LGgRw8++Vf6POelkIJfmongXKPe6+ks3qvqhicl6FxyQHPgTVsz583h2WFH8TFaiXIhb8Pd4VfXwDF//zhZ18Sjq4GpjYBfvw//7oqWSMAeNKiPuEsy7KCkvNSGUInzAHLrvVM0nurOfDEIqgTct6VKan3raLfp3H/71+luuqx8wWaAtpQdUe83/Ib6iJH93ZWONHdtAtulfefuIjEhgM5ilex+etT/ESIjMJz3P+8rti65HoKGvz7jfJ6R/UXylGkpRuZlzjDpNpfWKactVQpbP4+BRkole/jvxZL7MMNXOLG8OI/z3ebVGW4cM6xtO1j7v/DvwY+T7s+4/6XGgMlxRtE7v488DHvvFl7fwCsEuXoI83tlH7d+b+rnrFnoZ5IOMQogCrllv95Ar8fzMHopbuwYudJ9Q08+CdGJZ4JTV2iSVlzLhXjpmm/ofPkdTh89rKh9qmd28qd1Gs5Jf5u9yks//OEcGEoJrZTM7O1/zbrhqC14gwUywLHN0lPQAduDM7pk8IqPeITdnGAwA+K+BmoOjs9gcGOBbzjB95kWRYzfzkg2R4l/JdKqquYVADlW1/io8YXdOSfBjZMBQrOqbZBqhS73q6nrsvSxxG+F1kALNys7hDex+h2fSSCTTnPLP8LFwoceN6yFAts76LC9yMU15fukkdV+AgJiU3v6bvCHiDCPTZObNG+rri4BL/73I6F3BgjPsbA6eX5g8DOz/z3//vWf6yfX+G6sF3OAVa/JOxuzyduByAMoLzdB0NRRELOOf73K+81fTVRfxC8doKni54KyaIdEca6pQNr/rg0pcD10C/c+8zI39Cvk4Avh/iHWUQABVCl2O4TuXj+q7/x8Lxt+G73aYxdrr3EJf8tXuLpwucWnSAfzvEHTRXtBqcME/8xZf8H/DgGyeCq3h07X4icn6ZwKfdCfyU8tex6icuN0Ut34/mv/sa5y7x+sga78BknykA5RIHmni+BT28FPurG3RedwF7D7EOdJcLuDOIAqtgpfDIEAZTK+B/+a+rdbMfxi5j5i4buZaKugPyXUqrbnEvh40QqgPL5/B7g1ze4eb7yzwB/LVP9wjiT5//yduv8sHVeks7wPLbIW2KXxWLrm1hue90TQMmf1Dg8r41UXMLfzkhxCC3dX7/eeRITv/8Xwy1cNs166CfF9SWLQigcRk9ZekIIgP9UskhK1L74jAQlSox2OQT846ecDuCHpwMfN5o9+Odr/+2Vz3D//zqJy7bM68kVgtgyi+uiV7GGys48H278AMrbfTBUXfjCbdtHyl0rvZSeb6kMXLi4VMYtKQWun9/DFfz45yv9xz28Hvh3hfT4vDChACrKlm3PxHNf/mWogINc9bED2ZfwYcZhwRxBYvwTYO8JOv/E3M2ygpOteJs/u6Cny1TAmh91A/6cj//Z/OVEa2x9ixto+Mf/BMcH5E88+c+Xt9Q29wAXQO3Lyjc0EalurGgQvrjs5j8ruP993f6EJ6SDLasDdik+ZXXyAgQWjCAoKuJloKS+EFjB88fdPndZW6ENcWDCf39IvV+VM1DSJ+IsywJnPYNwj27g+sd/8xi+nvUi/jgUmClqgDPI+agfvls6l9dOfVcS7ax0UYu1/3FzVSSgEF3M/6GzaT9qssrvoZYTVmPvmXxfICUUmavJeqoQSs19eVmhxHp5zkDNmjULqampiIuLQ1paGrZt26a4/syZM9GsWTNUqFABKSkpGDNmDIqKYrsMLwmDPO09QQKoXTQJ9QWNYLpIebv/yZWaDmUXuSMZ/tve7wvWBaSqjFn2Pp9S3crC2YVPqg3BkJtLiv8do9T75rGM4NuglVrhBy3Pu5E5uryBWQSDRQqgouyFr/fgyx0n8VMQc9mI3TJjA95evQ+z5CaHPbUDo50LUMkzYN2bgeKfFLtZYXefeJv/TVngCPzQPXquABn7uQGOuYX+E3SWBZwuN4Yt3I731h30fWC3ZCT+QHgf5mrVxPhtFZzMez5Ees/8Hfd/tBnf/3VacT9ehstHs27RBIPiijvKV7mkJs0Vt0WpIiF/DJTUWsKsomJTPOv4X3OnS9h2x+a5GGpeCYB7zt1uFnvP5Puef5feAIoBhi4UVWPyjCWoc24zBnwSeHV0DjMZNc6sxxOWH3g7V/5A3nbkPD546zlcmdaGK9Orgv/8O93K7w2nm8Wt//sdE79X6Nevk+TxWBZ2qAe+rIEvjx//PiX7GD9+0l2soxRbtmwZxo4di4kTJ2Lnzp1o27YtevXqhbNnpeeZW7x4MV588UVMnDgRe/fuxbx587Bs2TK89NJLkuuTcuzbkcCsaz0V2gCc3q1tu5Ii4McxooW8v8n1U7ju5XrmQhSPa9LDG0DJnbjny3+u6MKywqCUn3VSGzPmxUh8N4WzCx/f2vHB78Mk0f4FtwOF5/33vx8lvW3dTkCt1tKPhcMalc881gV8MwL48DqFniYGvmu8549SVwnDhAKoGFFQ7A8eikpcMle09dl9Ilf6gbk3YSD7A563LAPgLyIhDKCEGSj+iVTBpTzg5/HASf+s4jdOzcDgT7dj8Kfb0O71tYL9/LI3G7/sPYvpa/39gqX+PHafzMOg+dvgcLpV/3xcctkQlwPPf+XtysjilSUbcbHA/0easf8sPvhVf3U0WeIxUAEtZxXuyQVQfg/P24rPt8hfjSlWyDICwm5g/slc5Z9d/iMuXgaKcTmRunU8xlu/QDIuwOVm8e7P+3Hr/37HGz9yVwSdrPzHyRCzdKbt133SX/YFkJ5DJAWBM5pfcSh329w6fyxGFX2MCpeOc5Mdq+AHMC42MCP4qPknvCAoUS63n+B4W1HocML15RDsjxuMBoy/e8Kdpo1Ya3sOj5v9wWSJpaLMzryFYgIf+mrHicCFHvzPgFB8JpUW06dPx/DhwzFkyBC0bNkSc+bMQXx8PObPny+5/qZNm9C1a1c89NBDSE1NxS233IIHH3xQNWtFyhm3mysGkLMXyNzELfvmCd4KCt98akVvfnuL6+mw+QPt7Qlmnh1v8GVw6hDNXCXC4kz2yjo2ZkX/8wQ1Vi3CpLpuHtNY0Esq+Aq1pr21r+t2c8U/svdwRTakGOle6X09pYLlMKEAKkZYPFFzicuN9q+vRZe31qmOgQi2RHgz0wnfMQFRFz43Kyw0wcuC2P+Yyg2W/eSmgH1m7BeOL2FZ4IrESb7U0PwtR3Ox4UAOpv68X76b4O7FQFEeXC6ZAOpIBpb/yV2tetWyEH/HDUfhf2t8Dw/+dDum/swFcsPNP/Lm6jGagWIVM1Cnc4VFJUpEWR2pAMrE+Nf5/eA5TFsbWPAhjdmLR80/CbppSr0dvMtuMu2E7Yu7UHReOTXOH6vED6DA+gP8ykwhXG4WH2ZwkyYu2HSMWz8gA+VvUAvTCXRmtM9IXgjtJVnPXZI/CXjl2z14yvKtf4FslxUWZnDPpRn814gJyAhNsC7CCMsPaMIod9UJdlJcgLuY0nLCGpg94yoGmv0TN/7PNhtXmU5hnNUfzF0uDvxbG2ZeCUxvCVw4KurSydHaJVctK1xWOBwO7NixAz169PAtM5lM6NGjBzZvls5gdunSBTt27PAFTEeOHMGqVavQp4+GUsWk9HK7gKMaTmRdJVwX5dxj/mVxVTyP8bo8Sc2PdCWXy5xr7nKm4dJN/mku8xVMAOXNPF0Jc1d5caVAI+PApLJkpWUMFBBc181QBBTtByo/3u1Z7fvK531vHv1N+n0t9V3jcnJ/aw6JrKnb5a/uGMEufBEcWUb4Coqd+PFvf/cyi5n7Azl18QqulLhwpcSFqT/vR5OalXBX+3phbYtDooiEi2UFf7P8E3/bBe0To8mddEl16fIu+3jDEVxxcH9UAYHWtyOAq3rBdeci3yKn4EqS/3iDLT8DAKpvfRu4pq/oaCxetnIlUJe4bjTeT1lcdUZUSe5g1iXU4X1+uVkIvt8YGPsQX2Z/AwDw3dmOAGoCACpdOhywnrdp821TueZ9Mwq49mPZ/VoZ3rxS/GCP9yFng1OyO5dTdD3GAuEHY13mnCBOlaqo51XAag+gpIJQr8+3ZGKShl39zzoL15v+Bq50EwRQpoDXx3+sSjITBHsZDaD4z8ohg9UvbzTtQh3mPL5w9cAr1i+ASwDWvAw3+1TAukrtFJbBN9SUUufcuXNwuVxITk4WLE9OTsa+fdKffQ899BDOnTuH6667DizLwul04oknnlDswldcXIziYv/Jc36+vjn2SAzY/AFXJU3Nr5OAP2YCSU39y7yff/yAIGcfV9ihfpp/2dybgAuHgat6aWuTRcMH3vQW2valxJt5WnR38PtS8tPzwvtGggnJiXQj1IUvFEqCGEsZigyUWol0Pcf46Hr/7S2zgcq1gK6jRStJfNn89hZXYKJZH+BBUQ+QLR8aa0uQKAMVJeO//QcvfL3Hd9/qmZiJf8Iya/1hjFmmvbKeUd6uOSd4g9FZVth9R1DIQDzMR+OZ1X3mDP82CgEUACxS6LaGg2sEWSfVrkUSH7hW3sm9+ERfH1ERidUvAJlbfIMg1U6itYyBEh5N+LvEX+H6mVeD9MmXOIC15h6B1s5lr3zzt+/2V9v9r4cVTsnAWJyBEj+vZkb4Oim1gp+BUsuQmA0GoV6NmNO407wJVZnLwD9fC9pthlvweigFa6HGsoHjjrQWVf/U9i7etM5Hc4Y3Z1lJgeTfquL7TXRRhUjLyMjA5MmTMXv2bOzcuRMrVqzAypUr8cYbb8huM2XKFCQmJvp+UlJSIthiEhIbpmlb74+Z3P/88tbei1LijMpR0WS6FzwXxg6ugSYWlXLWoZrqw1ss4HKYq579u0K0wEgAxfudveW+1TJQVRvqP064iKdH0cP7/hq80tj298xTz2IFE7Twp13xkvqu2TKH+1+qK+vOhby2UBGJMm/FLuEAS4snWLlQIN+f2OVmsfLvM74SzqE6n/FmlwbN9/fXF4+BKnHyrkSLPsDExSpq4iLuN6+HHQ5BG9+1+jMfagGUGkEA5VL+IJQ6lhX+rlxc9bggMlDibef3Av7XJnBdiepMegMoMQfLfXBVY6QDKBbC39XkuATvHEdqfv7P/8W470yu77YVTk0T6VpFAZQNTvQzbUQ9Rn2i2GL4qyb98LdyIZBgu8ottL7tv8OyMPOycCZR0McP1tSOy8jc1kNcyEOvmsxF3s4ckoVE5Nr2ye9HBIFyeRkDlZSUBLPZjOxs4Xi77Oxs1KpVS3Kb8ePH4+GHH8awYcPQunVr3HXXXZg8eTKmTJkiW2Z/3LhxyMvL8/2cOCE/Fo3EqGKFiWi3zQU2zpR/3O3iLradE3XR1pJB8pI6CTDbgT1fAVObcYUlxIwUd7BUCFwWiTkXpQQEVAq2f8LNvcTfxuUAlj0MnNohvx0A3Kwhsxgp4ulR9PAGNzVbGtu+QRf1ACmYoIUxAZeygR94WagN7wD7RAGfQ2mSeH63HspAlWknJMoOW80mbD1yHvfOka8StnR7JkYu3olub68PeKwirmCe9V1ujJCIWoZI6sRIXKba4XKjJi7iUfNPMDmEJ+veMUUvWJYgwzYG2+JG4h3rXDxj+VJyzAUgHdSwOt6OwWagbPB/+DtZcxBV+FjFK1mCLmAzrg7oEhbYRUzfybbDzT1n8ZAuHWrOO4699sH++yXcB3F1mYwVH3+8TTXG/+FlZVwyGSj/68fAjZctwpnTB5tXY6ZtNn6z/R8AaKqQuHhrJkYv3a24TrAZqBSTMKCz8PYn3reZFxQyYNGIOY26kA4IjXfh41cBDC44FMy/5SrWlYGatHKvoekVSjubzYaOHTti3bp1vmVutxvr1q1Denq65DaFhYUwiao/mc3cF7nc56/dbkdCQoLgh5QRLiew6lngl4lAnkzA4nZyF9vErBLBiizPe4sfzFjswNdDuczQb28Bp3cJN7kscwErJU16OSB9Au1yRKZfb1JTBD0lRIHod977vXwBA+8xa0lcBI2WYMaqeQMKcSn35uoFlQBwRTvEAVK9a4T3gw2gvh8VmIla+pCOffDOmqgKX9l24qJ0ADXnt8AxLHy/H+DG13hPqvjByWOWlbjZvIsbI8Sz8eA5dJr0C37+Vz7NPnThnygUlSb/dtcp4fRGLjcW297EBOsiVMyWGOgKYITlB6Sa/FdtbzbthJuV/oyVDqACaZkHSi2AYsFgz8k89Jzu7xrBz8qwYIx/PsvNvO0h/i1tjEv0eOC2KcxZyDWI5f0L+DNQ8Yx0AJWw+xNYeFkUxtPv+wPr+7Jt9hpv5QKg5kwm1tuf8S2Pg0NmDJT/S7aL6V88YMkQPN7UxJ1ImBntT/ZL3+xRXSek3epYVhAkibvw8QOqBKYAv9qfxR9x4v7bnGAzYyxYxRL22vbBw8tAvWGZj29t41EBRYoBe3kqXc43duxYzJ07FwsXLsTevXsxYsQIFBQUYMiQIQCAQYMGYdy4cb71+/btiw8//BBLly7F0aNHsXbtWowfPx59+/b1BVKknGDdwgnd5UqFy43B0RVAgas+xu/iJT5RLjgvvC913Ls+BtIelz+GVOEGZ1H4K/ABkS3BDQADvwYeXQMkNYnscZUEM1+XN/gVBzmdhwMDvgY6DpHf9rbp0gHUwBXA7TN4xwiy21x26KYBoSISZdwTiwJTx1qCZqWxk4mQTvEOnMfNpfPYoh049tZtstsv3CQcc/Tt7tO4r5O/T36Ji0UTk7Y5lfhyCx0yAVQgt0QZbLlf2amjCx/AYMiC7Th32R9k2Bkn71FWNgBRp5aB0j8GKpnJxUTLZ/jQeQeqMpewn60veNzOy54VeQMoUUGDU7lXkBBnkXxjWYsvIt38n2K7+MQlyCugWFihz4Of7agBha4t4u1YBiZRUKUn+PBm8fhBcTAsCkUk+MFVioauiMEqMVRqV6a7ravYd9HlYQuXXdwb9ygGO0SDtHnKYwYKAPr374+cnBxMmDABWVlZaNeuHVavXu0rLJGZmSnIOL3yyitgGAavvPIKTp06hRo1aqBv37548803o/UrkGj55VXgHG+qjI+7S68nW1VPRx8ElwN4pyHQ9kH/sh9EF3TEAZPUcZveAhzbKH8cqZOPVc9yP+GmNjFrqDXpob5OpB0J7HWkmTcDZRJPJswAV/XgAvwdn0pvW7st9784KI9LAK66xX8/mDFQ4i6swYpgFz4KoKIgv0jiRI9VrkoGBH6GBZs955+kXi4O7M98iddO9SBFev/nLjvw2g+BVxekMlAuiYSo3Im0vrEZDPKuCK+U8U+2rzYdU9legdQYKI+CYicYlWyLXIA1xLIGQyzcoOEexe8IHuMHUMVu7sOioiiAmvrOa/gB12Nb58APk5t/kO6GJKWPaQv6izJJcXAIK/QFqQRm2IMIfmoyF7HU+gYamUIxmFmYgRpnWYLf3P6uHMIKfaxgOyXi9/FRdzIamgLntOLW9TOSgeK3UfB35iwGK/GJ34o5KrsvuQzUmbwrqJ2o80p5KTNq1CiMGiU9OWVGRobgvsViwcSJEzFx4sQItIzEvN1f+G/LjV+RC6D0ZnWKcoGtH8o/Lj6O1AU/k1X5yr2R0uGh4gyiAh3hZaBE5wL1PecBWl5bqfcGP1CJYNZHGr8LHxWRKHe0nCYxoqAjlN2PxfsGhAGb3Imc0iB3BixmWGdhlHNhwGPSXfgk2iDzzPDbk3NJ+QqVG4FX0vljoPgBiW4KY6Dm/HZYvQofox6I/GL3ZwhYMLDD/wW7/RhXJCCOEX7pzrB9CKebBcsE92Ey2/ZewLIu5v9w4zcd8aB5ncQWHC0ZJBtK8LVtoiAb6N9eu7m26SEKngCwrKAK383mXYK28LNTFtF4KLHGpjOyhzmPRMVm1ME5DMBPOHZaONGw2rNajbmMapAZbOtySI5dU8qSumT+7mevV+5uTAhRIdeFb+8P0nPdGPX3MuH0GhePBa5jtipfuY9mAHUko/zMoRAO3sCJf0J3/yJ/tUYtr604A8XfLxC9AOpKLnDgZ2EXRypjXv64WQ0Fig2W8jLDhSmWucDfXwqW849okti3STCRrvSJfu4V+eCjoSkbd5n/wGOWlWjICE8mpSruaS3RDAgzUFN+Es7N0tu0TXD/v6zLAdXH+BmoIKao8wRQ0h/u2fnqV86kikiosTP+59y7vU0mg2MuCH2J2XvNG2BxFmCKdR6mWObyXlt95b5vMf2JjqaDquupqc2EciJHNqBwhLCMuf8xQXVDneOd1ALMH+wvY7x5ISwZ8mWw5cy1+UsrDzPzSr46iyHVI1ApiJfLQJmlPjAIIdrJjWs5vA744enQHee/b4FvnvDf/14iq2qyKp94RjOAcjsRdBEJo5Kacf+bVUrDxzK1Lm0Va6jvQy0DFa33x2d3AIvvA87zziMi2BYKoGKElgss4lMWYQciqQwSt+xu8+940LIeWDFMYedS2R8/uQDKovFEapFNWE5VaxlzLUUkxObYZqoeyyY4+Q2iO5pCFz6WVd+3kQII/IyZ92Rfbi6rKge+0r1/PR60rMdSG3eSr7doQgXD487CS2leMP5jNgjH0SkRvwOV1mfAorqn6mG6SftYNa92Jn926GYzrwKX26mrUAsAybFugPDiCiHEANkxUAD2fCn/mBGH1nqOKfN9ZDIpB1BqcyaVVQO+BDoNBYb85F/W5gGg27NAtcahPdaITUCb/qHdJyDzuvI+81OuAbqP4wqJyO5DIgMl/t54aLmR1gXnjMQ8qdSFr/zR1IXP4EmLXMlqBiwYuPGa5VO0zv5OcR8Nzv8usw+uTe0Z5UxCPeac4uOAvgBqzyntRQq8bjLtxNWe8R42JkQBlEIRiS93nFTNbukNoLgufFIBVGgKKBiRzOQGLFMb+wUolx9ngixN7tWKOaJvA5aVmPDX/7tYeFUULYzxDJTW9YsQyiufjGRJbaW2eDNQ3Ux/41peMGembw5CgrP8YeF9W+XAdZQKOxghLufNp5SpCGYi19KsagPg9umeUuoenYcDN48Hnt7JTTIbKslXA3crBDFGSb2u4u+B7i8CbaWCN88ZjFlDUNJUoiR/Ql2g12T1bfVyOuS7uUawC1+0R34RDzfLKlbZA4x3NVPqGtfd9Bcesaz1XKESziHF7yb30OHnJLd3edb5xq5v8DTLas1ASXvl23+0HwsMmjInMN82FQCQWrRYMAYquC58ymXM1YIzI4GCVJcy8aS10SCcOFY9QFDK9ISqNPmP9ld0bsEGtEs4Bsr/GH+eLC2/bx2cw2lU9+xR2+9XyNpFrQvi3cpAZgyU/HvQ5WaRgMtYZHsLANC4aBFcMFMGipBQq5YKZImmbVggXznXkDyFyZqVrtwn1gPOHwptW0oT/nPD/wyt0z7ybdFLqsSzt7qe5n1IvDfsvIDfrjCHXTi6P+76TDiuj48yUOWQwvmU96pxOM5ZqsiUPwekT7aMrCNFaiupiXS1nJjeY9oQsGyQeY1/vyyDq5ljgscF41c0FHKQVXwJuCI/BifUGagU5qwgc2MOcQnvUNHyuilloIKdHFer20xbBPcdTpegCh8g/F34gWo15rLkOlJ6m7djU9zTeM6yzLO+Ev++rsCOighiEkXxniWaqZaB4geK3tfFRGOgSFnDstyVbb2PhUrDG4T3Q308pwO4IF9xU/LKfd/3gCe3APFJxo/Lny+Ir98c4/sUU5oEOBQEJ+W8z8vqGrvx1bw6pM3RhZ+BGrsPeOIPoFpDffuQCkosduCpndyPNU56O5bVP6+ZBq68LCBX5mJABMuYUwAVI5QCEe9DAWOgQlCZRunET8sUMEYDqPqmHDxgFs4EricDxfeidXHAstet/sp/bjCoyAgLOvCrqQU14WnGFODze2QfVq3Cp/PYTU2n8KbV323A293MwkQ3A9WAycLtps2++2qvW2UU4jHLj7KPB9etUrtZoiqD+VdKBO8NMXFw5aX1dRxp+R6A9vccC+DfuKG++97uuMYCZsbz96p9zi2L6wqet/r7tntfFzNloEhZs2wgN6dSocQFsW+eAN5uAFwKfVEeH4sw24wp9UK7/0k1lMdBSwVQFZOAmi2CO64lDmjaO3B5/WuD2y+fOPhUozcg5D83RsaDpXbVv02o8NueUBuo1Ur7tt7PefF706t6Y5UgkgWs8dqPp9G8jUdQ7JT5DqQqfOUPywK/7D0r/Zjnf/EYKP5pT2VG/1VqRtQhyG4Rvh20BEeLt2bqPq7XW9ZPUAMXffefsyxDPdHkpFrG0mi5ni+eJ4l/gh6q7mLyR5dmgdPQsVvz5q0yx0gXvt/sYwXzGqkFCOMti1CXOS/7eKQyUGL5RSUBQRL/PSn3POsNaLS+7qmMcK6o+ywb0IDJwgfWwPLyWrBs4Guj1BaTaE4aykCRMmvfj9ycTf9+E/jY30s9E44GTskRMhbRlXpXhIvsSFUv801iy/uMqFRL335ZlhsHk5giXC53Um6E3n3pPakPtrJb+kigWiOg2zPSj9//WXD7D4d6nf1d/ZoF0ZU0DAHUFacbpy9GfwwUBVAxQq7KHcDrwifz+BDzT7jXHNiNTVK2fFWvNvWEc9MoVbrzmvlLcGWoExj/H0FFphgLrW8JHtdypV4qc8XHgkE8LwPFwC04aQxnAKW07+6mv4IulqBUhS9UhRiMUHtOu5n3KD4e3qBW3u8HcwIyUN4JjQH5Yh3Lba/rOo5yFT4//t+H162mbehl/lPX8bgdc0cVP7dKY9EOnxXOKWWmDBQp65QyDGYrFxD8+y3wx/9Ce9wwdHXSRer39l5A4V9MfXa//n1XbwyMEY1btsh0+3r4W/37l5qnSIlNbwDF+7wz0Osm31INX6R9i09sA6VXaHmn7n3KyazeTXD/ikN6qpmz+UVYuOkYPvn9CJb/eQJLt/kvhme0fB2fNPsIn/xxHJ/8fgQ//HcBbJX66ge/9Z3AZWF5XzPIyZdJGkSwCx8VkYgRhQ75kxhfHCNTx3yidZHivgV/7h+m85YLdygOmLwZqKaMwsDTIIlP5viTj8ahGMPNK1X3oTawngWDON7ks31M20QZqPAFGkonyg5Ygg4UTApjoO4wbQpq38EYpvK6FbNWxcRhpLrwiZ28UAgz5K9mWmW6SjYzndR1HKV3LD/7VlOiwqEDOk8WeFxuNuA9p5Q9Ky5xAvz5Er0BFF16I2WV0gmy2Qb88zXw9VD5dYyKdgAlVVbdN0dQEN9TCbWll1vsQHx1oPA8l6Uo8VwsMlIEQO9Js7iwgckiPy+XWHw1fccCMGfjCcz+7RgAYJhM3Bgq+88Woj7v6fgr8wKkOku+9uN/WPm3cH7OBzxt+373aazYuVfw2C3VHArfjB5SBSNsFVXbLHaarYY6ivM7sjiVWyj4bvKJYBEJCqBiRGGJfADFwpuB8p92ffzD7xjw18PINPcwfEzxyb1L9BnpdgP1mLP42f6C4WPobQMA9DJtx7OW5TjDVsP1KpkKQFtlMv4as2zvYbTjScU2hEbgySrfZ7a3cdSdHNQRlIpItDCFL/BV08ikPFYg1ZSt+Hi0uvAByhmZULVLcdwRo/xF7jD8sc14Aijh71CLuSizfmA7vb+/0SkVCIl5rEJ3aLMNOLQuPMc1cKIZUvwA6sFlQPYeoPFN0usO+Br4gjf2d8BXXMn1hDrA5llA7nFu+U2vAI1ulN6H2Q4MXQvs+BSo3wVY+iC33MgJsFPnEAZxN6/Oj3MBbBOF86l7P+XGwNVopr7/gV8Da1/lnkMAB87KdDfTq9cUIDcT2Pqh7Co1EyuCXxss/4p0MZKD2VzvgjirCUUlwu+EDg2qwpVYBwCw4/hFnLx4BS65MUd84qyiwSISDzpewW/2sYrryJ5bURnz8qewWP7N6SsiwTtneWzH7QCAZ63qE+5pLX3sdosDKhZtNMyjE8wcRFJ/BB/ZuKo9V+GUytYs5lqno7bilQqZiXR5J6lKJ8zBEI8xk9JQJZBQ4x2vI/07RKcbXCiYNI19C72XJQqS8IVqvi2lAOppy7eK25YY/di+cgGszRVw7J7mHbKbiIOtnuYduJo5hlo5NwNoYqwdhETTsY3Alg+BW9/mynO73cAPT/kfF3dl42ekzFZjRQRslbjxVWKWOMDp6V4e9QyU/7Ptn0rpmLmlOp5vdhmr9pzBPRcL4R3BdOcHG2E2VcAKz30XTLjxGwsyL3RG23qJuN55P57BuwCAgrQxePaLnbi1dW3c0baO8HhmC9e175ZJwOndvsUfbzyOxzQ0982Sh3yf17N+3oORej4WxWOaLHZubiclre7WtGt3fBLu/CkO1c/cigU2LoDadFh+vC/APadesjNydnkKSH8SuJStGEC1rV8N4I3UyL9SIti/15Ecbm6vtIbV8dsB4djzgWkNMLAdV6J90o//4ZONR1HscMDb8dG7vyrxNrxzbxskJ8ThYPYl/PLbIYzg7afY6cKY5XsxW7a10rJM6uPs5HqpbDl6Edc2DqJqpA4UQMWIjYfkJ5plWW4c1Jm80JUz9uIXaRB34dNS5a8yCvF/lq8NHz+Yrlo1kKt48uflBhNw0viu1T9hXbiyHSawYcxucZKZXFjglOxapiX4jVXR6sKnhj+JcTDC/b6Q08+1BguQrr6ih/hvowNzEPdbfsO/edVD3TRCIsM7t1LJFeDhFcCxDcCuz/2Pi7uyuXh/82ZbaAMo/ndsGAbba3KVZwJUXrW9h+dtxcXCEvx7Oh9n8opwg60YKZ6Y46+T3CT2Sy3d8YAlA++V3IXMC4W+x1JNBfDO/71g0zH89E8WfvonKzCA4uNlnX785yweU+krlumugfXudngZi3GZqSTooq+JuMtfsEUieH5KuB97juWhBlJ9ywodLlhMDHq2TAYkptPyPqcAALkuft42K433ShsBNL4R+O9b/zLWLdw/T5V4K3q3qhUQQPErJLb2jI03sU5fVx7+/n78+wyGXtcQy7afwOWzueD3MC90uJCRy6DYboWdkf7u/M/dAC1NxwXLWtSpAijM+QzIf4fmF0VuShcKoGLE7wflAyg3y+KNH/fij0PKVzHEHE7lzMo1pgPIcLUTHEd4XPXs1TOW5Rhs+VlXu/iCCV7cGmugsGAUs0zhqmDHZdfCe6L8mGUl0k3/4igb2M+8i1m+YEisi2YXPiWvWkNTLSmYAOph81rD23ZxbMJn0DZnihXOgCIWFRiuKpc7HJMjEhJJlzzjP5yianfiAOkKr4ur2abcxU+OvRIkp1zkV7mMRgA1eCVQux13u2IS8PRuwF4ZF9/YCgA4k8dlx6Q+r152DsWWpHvQ/prrgB+48TK9r66FodUbAtu4dbYd9fcOYVne2YS4ayCv25VLcmCL0LCSZ3GIrYebiqfiPBLxgnmJ77EDHV5B052TFLdnGZPwzMZzfIfTDTfLIs5qsBvY47/j69VFAHKQgyp4reFi3NS2EebHVUP9ahWRUq0CING0+YM7+e8sld51XpELuecLwDhKIFvOodebXDA4YhPwYRcAQNfGVTH/2k6SqzerlYDaCXG4qmYlVLRbgMSj3PudN09U3zZ1UK9qBVRcxMDbAWP+4E74escprNxzBvvO5OP4+QIcyrmMBqILjG63G4WIw4ou3+LBzYGV/P69czWq1GkCfCjszbBgyDWAqB4F2+hGMEfWAwD6X10JxWfN4BVxBsBlJYfXryL37IQcBVAhcLHAgQ0Hc9Dr6lrG//BkmOAGk/U3FvxxCnqLJm45wn14KQVBz/HmeHGJKgFqqcLXiDmjuo6SYCaA1VqAgQUDm8Jx5Ob2CZZJVO0vXFqbjuGEq2bYjxNJ0gFU9LskqnUX1SqYEUT1GePdPmszFzS/J3+3jw4YH+W90us2GS9kQUhM8GY9xCWw+QGUoxCY3py3jdlYBuq8RNqBO5j/ZjS68KVeJ7wvO8Gqv50VbWYUOFxwwYyKDdrj9rZ1MdETQHVsUBVtqtfwBVD8zEZuYQmq+nZSA3wLt5zAI57bTg3nOcWmioALOMJyWS0Xb5umKXWAncrbZxy7ghv5p2qMCW43i9ve+x1XSlz49ZnusFkMZKVqt0FChV2+u1c1b41u7dSr193UXH0s9MdbsjHrjwzEoRj75LJU3kA02T9xb+2EONRW2X+nVF5hDFGRDJOJQccG1QDeedJNzZNx8uIVrNxzBl/uOIkvd3BFlB42C7/ZvBflb0jrCBxp7RsT5nV1e+neEFXiAy/QMVX8ZfBr7ZcunFYUVxM1K4e5SgcP1VIKgYHztmL00t14Z7WB8p4qXrF8jvhPb8Qrls/VVw6S0yUMMrTMA6U1CyQnmOyP1m5eN5t3YYBFfuBvuCahZSLQhc8r2vNAhZpUCfZolTYPh+C6KBoPv+ow5zW/J6WKS1QAd7XeZaIMFCnlvFnUgIHvvM/S07uEARPrlq5WZ4Q1HqjLywyEcl6kIKh13Z/Y92q0rZeImpXtuK1NbVSraEOf1rVQv1o8erRMBpr1walKrbGAvR2V7P5r9Kdy5Ycg/HnCP11CpQrqJ8DvPdzZv77dgveddyHT3ACuXm8rFhF4wz0YB911McE5GO+U3O9/gDHh3OViHDx7GScvXsHx8wWqbZBTkfc739CshsKa+nxt6YNKdgss9opYxXbRvqGRgF+KS5hdurFZTTSoHo9Kdovv52vX9fiH9QfhDICbm9dE7cS44NshV9CEp+vNtwd3DJ0oAxUC/57OBwCs2nMGE/q2BM78BXz1KHDzRKDlHbLbtWMO4TPbW7DAhZ/dHTGm5EmwooDkUctq3/+vOweF75cAUOQQBlA7jstX5/IK9pRWreKYnL6mTWhlOhrk0T1tCGMXvkid9FdE6MfHRZNZ4nkL1+ukx0bX1bjO/G+0m2FYBcYRVPBWgeEyUE6GMlCklJMLWDZMBewJQPuHgSuijLPbBZw0MAebBOeLp5D7/g3wDnf/fNtpyMwSFBEZ+89iz8k8FDu9lTaB/W/cymViPn4XOM2td/81Kbj/GuGkuLMHdBTcr/vsRgwGMBjAnbP+wF8ncjF/41FM9zx+KvcKzp/MRZt6VQAAp/P8J+dfj7weeJ+3sz5TgVXPCvbftn4NHHtLXA3P8+zt+Ur2d7xj6Hj0/PAWrs2ufnje0wNn85GLWHXRnyX85PejqFe1AmpXqYB7OtT1VR11utxYsesU0htVx8Gzl7D16AWM4+3//XUHsSszFwDwym0tULdK6LKKW167i3evF/Bqouy6AqEKoERdV1OqxeO356QqLN7ja1tSJRvmDb4mNMe3VAB6vAr88qr041UaoHeXEB1LIwqgQijO6gl+lg8CLh4Dlj8MvCo9eA8AFtveRLxnTEE/8yZ867oOGe524W+ojOISJ/hXt7/ffRJH45QnCww+A2UsgHrf9kFQx+UTT5waKpHMQCUyxq+YxSIz3LjOtAfXm/7Gu87+KIElJgpLOEP0kRnM+yLYd1QwQX0FTxc+F0MZKFLKeQfji+f/cRYBPz3PlYuu0kD4GOsCLp0O/tj1OuOXvWdx+lwdPGr5GwDw8aYTGBilJNTFAgeGLvxT0G2/TmIFfze2etdw2TgDUqvH468TuVix6xSme5JLW49ewNgP/sCxt26D0+VG1uUSX+GJgAySVFlzpe6OCgUh6levLLl8w6ELWOTyFzJY9qd/CpCUqhWQ1ogrmvPZ5uN4/Ufh2OI7bVwRhN3uxpi29oBveVKl2MgohiyA0iMuESjKAxrwM2U6v3e8+/AyW+QnXwaApr317T8EKIAKoTirGSzLgnUUCsMKp4P7sBbNneINnry83WNCSc9J5zD3l6hnzcbokpFgYUJH5oDqNu6gRnMAj5iNF6AIlXCdmEeiCp9XWQugTHDjc9sUAMAJtgbWujoihVEpyxMBoXqvBBdABfc3F0wAFef5jHLSGChS2pk9J7hyE6geWAN0fES4TM/JaFwVoChX+rH+n+Pwn5cwy3k/mIrVkNvgVvQxVQD2Ba56lK2FhozyvHoA4GIZmGWmf1B6DACOnS+Ay82ist2C29vWAcMAt7XmFSa6eSI3bqnlnartEBt981WoGm/DH4fOAfnCxwodTlwsLIHDzftMEwdM4qpz6aOUAyiFLnxVK9kx7b62WLcvG3vPXPIV9midUg0P1qyPIzmX4XSzaJpcGRsP5eDEhSs4cq7AF0D9sjdw/OkQx3N4s8FObKt2Bx60cvnEpEo23HK1zLijJ7cCsxUK+YzcDszSkEl5/Hfg4BrgV+WCGVEJoB7LAP7+Eug8XLodPV4TVPqTNHw98MdMYKencJPJotzNtcerBhtrHAVQIWS3mjF2+V944XIJank+D05lHkHd+Vw9fYzaASTJz50S7ImRlxncAM84FONX+zMqMzr7PWn+FgB3cvdUydOIkyk7KRRcm280/xXU9qEQTCELJQzckQugUPYCKK+6zHlsiXtKYe3ICUV1wGnWD8OW9dQimPek96IPZaBI1BxYw83jdOcH3DxOWjkKga+G+O/LZaC8zh8Efn5FuMzt4jIcaielLe8Eii8Dh6XH3vaYuw+Hzl4GEIeLncZgbM+m3Pw+ogDqPFsZD8d/iI3NvxaWWpcw23UnnpKZQ+5HdzruNG8KWP75luMYeG0DPLWEyy41q1UZU+5uHbgDeyXghucVjy+nUY1KePWOqzFj7QHgD26Z9zOoz/9+h4tlhZX3xBkkcUDV+j7lA4pLlIvc07Ee7unoed+8yv3Xp00d9Oki/L1f+XYPPt+Sialr9uN/vxxEVn6R9A4TaqPHiBlQmIJXqGZzoFIycFmmGFCNpkByYMGFALXbcD/rpyhXhoxGAFWtEdD9BVE7eN871/2f+j6qNwa6j+MFUFblDJQt8lUso1pEYsOGDejbty/q1KkDhmHw7bffqm6TkZGBDh06wG63o0mTJliwYEHY26lVnMWEb3adEmRl1iyc7F9h2QDF7UN1qv2H/WlY4EQ30x7NwRNfX/MW1GeyNZ0sBpuBigXhKpltiVAVPgCozJS1MVD+16REQ1nbSAnF63mP+XekmIxn04IdC9YgiCp+8d4MFI2BItGy+H7gyHrgxzH6tvtzPnBgtf++t4iEnqIQrEvbCSkbOIXFOyX9AQDTS+71BE+cet5xMrxMC2vjuprNcN6LzqnVoOVC5TJXdwDAOaZawGOZNW6Q3OaVb//B2UtFOHmR+/7wzvkTDu1SqgQsO3a+ECcuXBFU0Qv4XcUBlEKGSdPjfJU9WTaJ7l/tUriagecLHPLBE4AHO6tX2QugEuTpOq3qMZH7v7PM9MMaioFp0t0z2qvraGPbaw3kLPzsoigzKTd9Rq02xtoUpKhmoAoKCtC2bVs8+uijuPtu9Vmejx49ittuuw1PPPEEvvjiC6xbtw7Dhg1D7dq10atXrwi0WJm3hDk/k3Sp2Ol/lnNPSGzFF5pgpBZzEY2YM0Fdaa6OfE3dlcpCABWu4gTb7E/CwkR/3E5pxH9NnGzsBFAdTAej3YSgu/p+aX/d8LbeeaFc1IWPRJv3Cr7LCRTnB5RfDlAs6j9mJIDKNz7+qduQydiVPxzpCalIzS/G2OVc74u6VT0njLxAgbl9OvKrtcadJTXRJqUKsEr4Pcs2ugl/HT2DdixXPrx90RxcRALSij7A2nG3ATP8ldAyH/0Lj9epj3OZvZD0WfeAdq3be9Z3+6U+LQIeD5XuvIp0XZvUwOLr0sB4zh9sJfmy8x8FBFBqk97yg5Mx/wKb3ge2zpFe96mdQOF5oEpKwEP3dKiL5rUq41KREw/O3eJbvnhYmu9ULc5qRltPIQxdpMZ18emZ2LfL00Cz27isj5RQBVA3vAC0upfLDBkhl+nla3Qj0J9Xopz/PMiNgeryFNfFNAqiGkDdeuutuPXWWzWvP2fOHDRs2BDTpk0DALRo0QIbN27EjBkzYiSA4l5sfgClJ4gJZTDys/0FLHDeYnj7CkxxuclAXV07XnXWayMoeDKOPwlwLGWg5GZTjySlsQyR4o6h14SUc5/eCpzcxp0MK53cia/6q3Xhk7LhXe3rik5c05skAZ6aewXFTgBcAFWjsl3YHo+Eei0gNxKGqdsBpgu7gVwugLqIBABANqohIVEYSNavnwoASGrUXnJf41ZwXcWuSa0Kqzl8nZIY3hjwmpXtqNk4yf9gEe9UVJxBEo+BUjvnMPF+h8R66t2+ZLp+MQyDVnWFGblGSRXRpUmS5Pq6qGbJdJxXMYzi0JCQ9W1SPY4KLRNQV64N2HmFPhhRBkrqtWxwncR7JDJK1TxQmzdvRo8ewp6mvXr1wubNm6PUIiHvhw/L8gMoIbebBQM35ltF0ywjdGOgvAZbjBdoWGybjJpMrup64rLrpVHbnB+j3QSiwEkn6zEnvvis+kqEhJM3QDnpmbX17+Xy6wLCE2vAPyBdTwClpInmUTCoaLfgobT66H11LTSpUcnTPt5JYEBWTHRuwJjQNNl/ovnEDY3Rqm4CPn64I4wy1BUtVOISgXYDgDb9gUqiSeGtogBHLTsjzu6EYAzQgiHX4Oo6CXjvQekgVDe1AIoJ4blgNMZASXEbaAf/tWbMgEWiC18onyudSlURiaysLCQnCyubJCcnIz8/H1euXEGFCoGVWYqLi1Fc7O/ykp+fH7BOqJhN3AuplJVxsyw6MAdxk3l3wGPRv64sNNk6T3UdFoCbZWCKgavihIRDAWtHRSb0FTJLs8PVboD0qApCdLhyEfhrGdDqbu7E+UgGcCUXuLqfgZ3JfAdl7fHM3ST6XjbbsGvNQrTa+jxCcf2a7TMVzHvtAACHcgrgunIJ4pmK+CbfJSrWwD+pFl+tF58kMox/2hQAL97aHEBz3W32WjL8WqQ3rm54+5DoN1t6eVyC8L6eLnwAQnFm1b1ZTXRvVlN9Ra3UuvCF8mJ6rARQWjJQAe9z3mttMnOFYAI3CqpZwSj96QMVU6ZMQWJiou8nJSWwr2uomJjAAIrfhc/lduPfQ0dgZaTfSKHOQEVCX/MWCp5IWNnCVCVRq2y2KorZUnWtKewu2WtFuwmkLPhmBLD6BeCLe7n7n90JfPkIN4+iXnJjPeZcB/z4f8De7wWLHXlZaL/5aVjd8gUC9Nh7zt+990D2JWTn67zowj95VD3pDe25Qr2qCmXBw6FOB+3rxlUR3lcLoBLqCO8nS1QVjLZG3f23K0oEZqnXhe5Y9SI7uaysYDO9jJkrpR+wnDJQmtSqVQvZ2cIKUtnZ2UhISJDMPgHAuHHjMHbsWN/9/Pz8sAVR3tdRLhAyu66g7ZKOuMl0m+TjpTGAIrGjrGZKnrV+GdXjc3+X9LfJx8ZcvpyUSgd+4v4/I5rO4uJxoGpqaI8lOkZJQS6MFuN3sqaAMa5bTxahpcH9BQgIoCSuzIegOMDCRzsjt9CBlGoRKgE9YjNwdANwzTDt29jFGSiVz+LqjYG7PwEqesYqtb6Pm5C1vsLcS5F28wSgQjWgIAfo+nTg493HAZVrAWteMn6MUX8CB9cC1ww1vo9Q0lOsxUucgarXEej7HvCDxHMWBaUqA5Weno5164TzKqxduxbp6emy29jtdiQkJAh+QsnNm7nbm4FSKyLxmGWl5L7UPg5vM21RWYMcdNeNdhOipsBUKdpNCMqvrnbRboKkyE2HXHqEqrATIT6HfvHf/uwOIDfTf3/DVGDR3dyk9F7nDwOf8MYdbXgHKOFlk/5aCswPLE/tVTHz1xA02m96hrDKblCfGmoZqBBddb+haQ3c2S6C35nJLYFrn+AqqmmltwsfALS5D2h8I3fbZALSHgNqt9V+zHCzVeTmSbptKlBFYuyZLR5IHxkYPOqRdBWQ/qTy5LORpLn8Pw//fe593cWTW5fXLnyXL1/G7t27sXv3bgBcmfLdu3cjM5P74Bw3bhwGDRrkW/+JJ57AkSNH8Pzzz2Pfvn2YPXs2li9fjjFjdM4HEUIulh9Acf+7DT6tagUZZtneM7Tf8uQHl3wwXdZVT6ysvlIMc8Xw9Ryjf9NlFUsRFAm1z+8R3v9ulP/2r29wk9L+u8K/rKQAOLlduI130k0A+OZxIDM8BabE2ScHa8YlXmxXLB5V1W6gvgOIr9aLC1QwDJD2OHe78c3a96un61yssNiF8/+Iu+iVZb3e5P6/dmR02xEKhsZi8avwyRTeqBu993RUu/D9+eefuPHGG333vV3tHnnkESxYsABnzpzxBVMA0LBhQ6xcuRJjxozB//73P9SrVw+ffPJJVEuYu3gZKO+cBsIxUNrRKUnZ52KZsJWhNsfKlSaDYjVIqcRcob9NkZoJCqWBCeFjWSD3OFClgb7MSdYeIO8kV4raq0ilCJSRsVNBYpNb42Cfr/C9OQ74hFt2Q6d2iD/3N+BNSt35gc6dij5xWtwOPL0b8BSpABig/rXAMwf8XdW0GLoWeCPKxSKMeOE4V3DEXjl2MiqR0GEQ0KQn152vtDMyBoofdMlNPqw2/1sYRTWA6t69u+KVzAULFkhus2vXrjC2Sh8nvwuf5/yP34XvScv34k1k0Riosu0bV1e8WvII/oqTmTE8WHKzdMeg24sn4WHzL+hvyfAtW+DqhV7mP6PXKBm1mIu4zFLAwNf/mvAV4yFlzK+TgN+nAje9Alz/nPbtrlwAZlwNPLrGv8zlkF8f8E+uG0FMtYa4uoHwBLdaSgsg9x/eSjq/260SY7qr+SfHRZxnfqLKyYHrKTFbALMdcBVz/8eqijWBAt5UCQrzNZV5CbWj3YLQMDQGivd3I3V+E+UJ3WPzkm8pws9AFTu5aNloIKS2nZtlkIQ8fGydZmj/pd1mV8iG6EZFCWtBHsI4TklqjoQYVYg4vOB8DF+7uvmWbXa3xNMO410VppXcG4qmSaKLG0LhnHCTlDG/T+X+/3WSse23zfXfVgug3BGc6Lr/50BqN6D3W/5lPV4FmvXh5jMyotcU4KpeQJv7pR+/9R3gqluA9g8b2z8APPoT0KArMOQn4/sIt4dXcG3kB8+kdNNSxlwsLhG4ZjjQaShQSaICX5T7hpSqKnyxiB9Ardh5CkAwAZQyE8NigvUz3GLeYWj/pZ3S/FpesTzcX0v7g2K24Uz6RNTe/Fp4jxMC3ueiiOUHfQxOs8a7lzjD+HEWu+8qQsq4Et7cL44C5XUZE7D/J67qWri16Mv98F0X5Hjs9Ce5Hzlpj/vHPmkhVXChbkdgyCr9bYukWq1jv41EH00ZKIlv2tumBrnP8KHLiEFySsyuHOyJcg1cBAM3xli+CnjsDnN4BsWWBlpOYvmDdyeVDAhfYwwIexbDZEFJtabhPUaIeJ8Lp+gjKJhxUA6ozO4eBMpAERIl/ABqs8pYIsYMLHmAKyBRntVux/3f8s6oNoMQH+970fveDEad9sJ9RglloIIkET8ZvlrNALjZtAPzbNOwwnUd7jZvDKZpZY6Wk9hFrp7obd6Gn13XxNxJb/gDKDNKontBRrOmtRJQcMkOV5Ew6AkmgCoJawYqtt5LhJQbDl4A5VSZ9FZLieuIiWLeesBX3MTBre+LXhsI4bvjPaDh9aEJegZ8Bfz3XdTf37H0aVMqSWegjD2tDFg8ZfkGACh4kqB2Evtuyf0oQAX0c0zCbNed4e8yp1PY28OYYC4lY1NYmOFyu+EUZY2CKWUe3i58sfVeIqQ0mvTjf+g1YwMOnb2sfSOHjnX3LNffqLKoUg1uAlXxHEqEREtcIvee1FM1Uk7FpJh4f5eOs60Yxh8D5WX0ZMsEFlaUkhRCDDJBGMzqeh30zKVhUNjLdDNmNKheMbzHCJHLTCW43GxAwBTMcyTuDhhKNAaKkOB9svEo9mdfwqSV/2nfSE8AFW7e4g2t7lFeDwBueFG4DSFEmjcrde2I6LZDJ+rCFySpAMpopoEBCzOMTDZWPqidXJtFkxtKvQ7vltyP56wSVykjUAL8uqtqAHvDeADGBCamurAEeqVkCA6xdXHFXBEu96WADFQwWbpwZolicY6q/e56aGY6Ge1mEKLb8fOF6it55WaqrxNuV98N3D4DqFCFm9zUpmHS8tSu3PxF3pLjhBBp9y0EivNL3d9K7J0VlDLSAZSxp3W0ZQWqMxGoHlRKqWUBxBX4xCfUb5U8gHmuW6U3Nod/PoFqlexYMvxawbLXS0J4dVJupu4Yss3dHFvcXDl6FxuYgQqmC5+LLV8ZKOpWSEqro+cKUFRaBmwCQMUaXPAEcCd5Jo2fNRWq6J8DipDyhmFKXfAEUAAVNKdkFz5j2psOoQajMtN6OaaagRJl7+Ks/gTrYMfzmOO6Q/6kMwIBFJchEi4K6bgohezTphiZQ8v7+zLgLj442dCNgQpmWzWx+HfZsIb+OcWu8MrGH3aXkQkaSal0KvdKtJugTb3OwI3jot0KQkiMoQAqSKHMQEWKm4n9TIUUtcBUHEB1aeIfrHiF5WZdl31ttHbhq1BV23pSGBNMoggqtAGU/L7GOYeF7jh6mIS9hL3PP8NwFx9cAV34jP/txPrfXajZLfp7YBfB/z4/yNYLZXNIebZvFbB5tv/+jgXAnsBpOLzaMIfx7+fPh79doTBsbXCf+4SQMql8nXGEgVQAFetYgwFUToXGIW6JPmpdlpSKSHgDFdmARWsGSsvgYRlS45NCetLPmCAXZjaqYaxazRslA4NoEIC4KoK7/AzU1HvbSswDZTyg1PRcVm9ieP8xx0DXIH6WLtaqVJJSbOmDwJpxwMk/gfzTwA+jga+HSs/zAeB7+3jckfdFhBtJCCGhQwFUkKS68LnDOBYjJAwGUGyM9+U2BYyBMvFuc2RPGi0VtB1EbR4SJSYT3KzyOK2gyMzKfZqthgc6p/juP1fymKbdLXV2xypXWnBtEvVr5heNuKdjPYy55ybB42Hvwpd6neH9a/G+sx++cXUN6zF8DBQMqRTnz0DJ/i2Uwr7o4TBr1iykpqYiLi4OaWlp2LZtm+y63bt3B8MwAT+33XZbBFscA3IzgWJe1TyXQ/DwO/e0wUt9mof0kOfZyshhQ1DO+IElwI2vACPlX2dCCPGK8TP92Cc+IQaAIkRgPE0QWKOV2qJc4U0t2BB34ePHtu/c1055H9Y4bY1IH6VtPUlmuEUB92M3hDAj4nZKLp7iGojUJP94mZNsDU27Y8EEn6WwC8fpFLPc3wbjCcbj290DdHkKBf0WAAju4kMsZFSCySierqEz8DJwQSPOpvLZ1OIOoNdk3fsta5YtW4axY8di4sSJ2LlzJ9q2bYtevXrh7NmzkuuvWLECZ86c8f38888/MJvNuO++Mj6RafFlYHYX//31k4XFbEQXnG7IWoDHrg9tT4YMd1u877wr+B017wPc8BxQoxk34SchhCigACpITldgAJXDVol8Q3RgTcaq17NRfrscYQMHvfMHxYur8Dl5d1OTKuPbkV3xaNdG0ju3qAdQ+SP+Amq28N0v0TkLgHfcD19I521ylUguNoPFVcn+K7QlrPYMZNAZMtHzWiy+uGAyAbdMgqv57QCCC4JUX492AwCJCx6hZKQS4JVanfDrtfORPOxLwfID7roqWxp4rrRkn9XWuW2a/uOWMtOnT8fw4cMxZMgQtGzZEnPmzEF8fDzmz58vuX61atVQq1Yt38/atWsRHx9f9gOof1cAZ//13z9/UPi4s1hwN3nH1LA0I/SXTqJ/MYYQEtsogApS6RwDZexlj3bZ5AXOXgHLNrpb+W6b4cacgR1Qt0oFLBl+LZy8hJTJZEa7lCqoV1Wmq56GAIqxxXM3HlwGdH8JW80ddLVfqgtfSLN6bqdkgMAAMPHK7uoJ/IIPoOyCu8WeIgbivXrvB9OFr3vrVOUVbnzZ8L61MtL+CjYbbup9D8x2YTCtms0y8t7Rso1UOfwqDfy366frP24p4nA4sGPHDvTo0cO3zGQyoUePHti8ebOmfcybNw8PPPAAKlYsHRNbGyYVbBfzKlbmHg98XGZcVDDqJmrsQQBwfwMjVF7HGO+uTgiJPgqgguSSOGE1MbEdVBktIhHNL5X8+AaSJ/4vlwz13TbBjZuaJ+OPF29CeuPqKOF/T6u13ao+BqpynCd70qw30P0F6I2dGUYigAIDPL0LeHCpvp1Jkm6QiWEFJ856AqgmyUGOLRAFpg6ZY3urExruAjdiEx7p3lp5HYUiG6Gy1W1gfIfMe1M1eBVtd56tjHuKJxo6lnAdidfAVlH58TLk3LlzcLlcSE5OFixPTk5GVlaW6vbbtm3DP//8g2HDlCtfFhcXIz8/X/BT6kh9bn7S0397Xs/Axx2XQtoEBkAFm473JMv653QihBCDyvY3YQS4JK6mibuSxRzDRSSi93Zh4JY8oTwLf3lZE9wwm/zrCOZpVDtx1FTGXFSCnP8y26Tn5Pm30aOCNkh1+US1RkCzWwXjq9ysgWBVpnsaF9D79ycXxEjuMtgMlOh5ZXllzPm89w1noJKvln0NAg4SJs6Hf8CfbOgGyKt3Z+Q93qArOhZ/hB1sM+VN1CZbZpiA0vMAhAEUdW9SNG/ePLRu3RqdO3dWXG/KlClITEz0/aSkpCiuH5OkMvdu6a7EPkXBTxb/nrOf4L5d18cGq6HHAb3HCSHKKIAKktQJcawHUMa78OnYruNgQ8fg41dWYsBqmAeKBS9+Qgk/CPH8zrL70FLGXHQCLohX4qtJbuKw+iuaMWAkuvDx9tnrTd/Nxa6b9E90yrKQ+g3NYAXHEc+9JLs7hH4MlBxGrcy8FnaVbBljCusYKFPDbtxhQvT3r/pciP6OK9s1BMZGu/BZ43n7KNsnl0lJSTCbzcjOzhYsz87ORq1atRS3LSgowNKlSzF06FDF9QBg3LhxyMvL8/2cOHEiqHaHyqd/HMXSbZkAgLX/ZeOd1fsCit8AAA7/Cqwdr/8ARcFn2qY77/fdZsDCatH5nabW46CMZ1kJIcGjT4kgSVXhi/0AKgJd+Op1BqpfZew4Hq57F/kPDVa1e9c+NsVX3Q0AiiUCKFmaCmuIJ8HV8Drz2sMwDFwau/9fQjxudugdrC/dHi6A8v/+erI8QRcOkQmgGNFz6X2agpoXy66SgQrzVWWTKbT71zsG6pXbWwgfr9cZuP450TYGi0jwTzjL+MmlzWZDx44dsW7dOt8yt9uNdevWIT1defzXl19+ieLiYgwcqD5/mt1uR0JCguAn2s7kXcFrP/yHF1fsgdPlxvDP/sTsjMP4+T+JrouL7gLOH9J/kBBkoPgYsKgcp+M7reNg9Qs7zT3l5ytqq1hKCCl/yvY3YQRIzQMlno8o1qgFUIudN0ku13UyrdZVSINaCbwKe6x8uHJb8ZuYXPIgFrmE/e0dLokMlFwGQjThqyRRAKltDBTvOWMYyTFzkocy8h5ipaMzcRc+qRPzX1ztpXcZbLZBY3l472ECxmeldsMmV0ttx1I7KWIYCILMnm8ErPJdl6+1HUvBRrfKWCyxNv0lF9eponaVnP/aSLxOLgdw0yu4q/g1/zLB36XMayv1t8to2K4MGTt2LObOnYuFCxdi7969GDFiBAoKCjBkyBAAwKBBgzBu3LiA7ebNm4d+/fqhevXqkW5ySFws8He/u1zsnxbhxIUrACCdidKrOPgM1PBuDX2326dUxXWNdTzfvd9SvxjYcTA3LlWt2AQhpNyiACpI4ip8Jrhxp3lTlFqjjVoZc/F8Sj56TqYZE3DrWzpaJbkT3y2uK1ng8VOrx+OBO/viY1dfOEUn33Ybf/yNSttVsxeB4m1aukwJb1apIOoqGMouZTIBVBaTJHjtpA4pl+0IOoAyC6vwXZPKjVl7ME043sObkQoIoCxxeKjkFSx33iB/DG+mk2GAYb8CzfpIryfOnCRfHbBKXiWZMvc6fO3qhr+6vI/0Iu7nuuL/Sa73qbMXno5/G2j/sOTjNSqrFTYRZfHE73HPvGCCMW+CQEjmvScVQAmKSJT9AKp///6YOnUqJkyYgHbt2mH37t1YvXq1r7BEZmYmzpw5I9hm//792Lhxo6bue7Gq2OkfODr8sz99t6+UuPDogu1o+/rP+PtkbnAHWfJAcNsDePk2/0WVBtXjEaenC5+GgkEwmblxqZUoA0UIkUYBVJDEAVQLJjNKLdFBpQuOhXFJLtc1HoYxAU16qK8nJ7UbkOIfhO02WSWPbzGb0LcNN1bILvoSvasTr/Sy0u+c1NRQINOkJi/o8kw+WmJNwDdNeYEj77gMw6DbVUma9m0sA8UG/B6TSgZgbVELQTuknkepV3aLu2XwJ8uiMuaLhqZh1dPd0K+dcI4j2S58vrFrMu1I7QYM/tF/v15H4MEl2tom8bs1rsnrRlW3o7b9iLAwIbvuLTiD6jiD6jgrMy9cHipir6UFNxeWZPvUuvAx0re9XI7AZXLHEuxXIoBK4nXHLQcBFACMGjUKx48fR3FxMbZu3Yq0tDTfYxkZGViwYIFg/WbNmoFlWfTsKVF5rpQoKPZ/9m8/dtF3O/NCIX7ddxaXipxY8696JcKI6PYMN+6x+ziEu7omIYSIUQAVJHEXvtLwMa7Whc8C6QDKZNYxcWywJ1mDfxRcCecCKGlV4m3YOb4ndk+4RbC8asXAcRuScVJcFfBfue9cXaQPJNo4uTIvOGjRF3jhGKwvn8Bd9wzkbSLsZsVofF68a33f7mNN63uOFrDkE9dtEIdHasUJjrmTMcIxGt+7uxirBsjHz3b2+xBxVjNa1kkIeB5kj+Irby6zRufHgMrKA/v9+xJ/3AXus2uTJGDgCuC+hcBDy7GUvQW3Fb8ZsJ4aVnCbd5yEer6bqpPu6gmgpHgCqJua1dS+TyAwA1Whmmi78hFAlUf5RdIV9H7Z6y+owZzdh507tkaqSfJungC8cAyo3jjsE2QTQoiYjjNiIkWcgQpqEHyEqFXhM8sEUMkJccAFjQcJ8UBzlrEoZsCqVZQoQ84/EfRlMkRftMmtgX6zgbyTvkWFrDBrolkFb0l1Xnc5UREJrbwZqOxq1wAt7gD2fq++kcxJxH0d6wnuS71HG9Wo5HttT7JJ+MmdJruuLvzfud1DsquZVJ4b2ddeU/EPXlu0nGc1udl3801mGC6xToWVpcVZ/e89wSET6wH53HvNBTPevEthvJTq35BaAMW1e+wtVwHeOFzLPsXPqcki+luiAKqsyrsiHUDlFnLL41CMZw8PAQ5HslUKvO/LSsnK6xFCSIjF/tl+jBMHULF6HWyJ80b/HZUMlFUmgDKbdRSGUDhR2+uur30/HnJd+BTxTwSlTvoadQdGbPR0T/K/coLXsPHNvDsKJcgFy3kV73gZHJNU9ymZfXgDKO5hje8q1i25brzNLAiupPbWuIbMGDC9J8v1PN0ur38O+L890JqtkD8M94Dsa6+l/LxvV/o/7l7tGzhOSslzvZrhtta10a2Jv6umoO28QMQJEzo3lC5/D0BDBkr4eHKiqIiGJwMln+uTeU7FxTju/6zcFZEor87kFSk+XgnKjwel06NAxyHAgK+AHq8Ct8hkfh9cFris9X1cNtqiYXyTlMcyjG1HCCm3KIAKUmnJQPFP4uJsyiedchkowQlbXKL0Or515YOtBx0vY0m1kcrbi7hNFskTf9mqeoB6AHX5LG9H/AIMvHXv/wxo2htofrv67+zb3P88FTr8z6XVrP3E8wzLnVgrZq1GbhctkJlI1ySqPid5AsxKPqoatKY9Adz0iv/+I98DT/wB3PgyUEV7oCz7e3qeS34XvrWuDv7HdVV7FD8P6u7pWA87XtE+lm/kjU0wa0AHQUlzwXPIf29AS9VAntrtuB+vyrUF615/VRLG9GjqX+YdA1WtsX8Zy//blnku+HM+dXgEaJAumc0lpd+hs5cxcvFOrP6HK4jxYQZXlry7aTcmWeahURXudW/JHMPblo9RmzkfvsZUSgb6zgSu6glcNwboMkp6vWa9A5eZLUCfd4GWd+o/btNbgTrSVUgJIUQOfRMGqcAh7N4T1ESgKpY7b8D0knv9C+IS8WvaPNxRHFiOWczJmzzValUOoOQyUIITp9b3KR9Q7iTrgcXY8Oo9eGDwU8rbi6h14ZNug0QXPv454yXeYGje8kpxvOfHXgl4aBnwwBc6jutv52WHm7dYw5/bQ8uBTkOxyMWN5+JiH4kT3R6vATWaCpexbiAxJWBVi4kRBIiS71He4/ziGBbVrCPj6yoGgKtwVatV6Lp5MQye790Mtav4T+rfcfKqeOnqwicuUKGtjdUrGevSmeipuCh49XhFNQpYlQCqy9PC+0lNhYHMLby/+9b3gWEYjO7BK/bg8nTHiksAnj0EvJgpfM9LYRjAxgugvMdjqAtfWTRj7QGs/PsMnvh8J/KulKDEMzH8Ats7GGhZh+G2NQCAVfaX0N+SgWnWD8PXmKtCUHxDz3uzair3v5GgixBS7lEAFYTvdp/CO6v3R+x4451D8Ju7jX+B2Ybs6p1xiK0rv5FH3Wq8LloGx0AJtlM7cZU7RvPbkBBnBaNznqjgu/D52zPTeTd3o8+7vJX9p7l3tFN/Pj07lVnsPxY/gJIkDo6a9gJunw4HuJNvybFB1wwDrh0hva+kwMmLTSYGiK8OVK6DM2w1XETlwG2vG+u7mZzgP8m3WjS8zm79Y4T0eLJ7E/Ro6S8UUQRegGvS04WPiehg87VjrsfsAR1wcBKvrDovi6magWp6CzB2r2gh7/1QMQl48QQw5CegncTErW7eeJZKNbhjF/IzCFKBNCvMQHlpmT+KlCouN4uTuVd8909eLAxYp7H1PL58wj95cFPTqfA05tE1hqteCul4bw5fDzzyg+w8bIQQooQCqCCMXro7osdzwyQMIsw2z3L5L43c5g+ATayHmx6Z4F+oEkBluNsBAPJZUX/yUARQWh8Xces5UfaSLCIBzHTegw5Fc4DWvGxe6nVA5TpA45sQ/Amif/tuTWsqrKdhT1JN6f2WP5PRcbB/uTc4MAsLalhMDPdc/N/f6FY8U7qbaf20wGUAbFaV17nF7coBVMgyUf42f/AQ70RLTwYqlCf+1z+vukrNhDj0aV0bFgvvfWj3l0kvUAugACChjv82wwQ+n3EJQIMuwvLkFTzjqqROSO+ZBydjxWjHk/LH5AdQzmLPsfkTQtPXRmm38eA5tH51Df46ketb9vGGIwHrmRgG16QqjNMLlfrXhmY/Wsr0e8VXAxper28bQgjxoE+OEDM0f49GLETBksnCTf2jcGJY6Y63wfzfP2Di+V+CyieSRR2H42nHSGzo8YPoEenB8JIsat2epNvgaNoX6PtewPJiW1XJE3/FZ1twcu0pRsByty8gQbiutQJX9GDgCu0n/RqKSNStzhs3VRJ4hVf9EFLH4C3ry5+k1fNsuIUZRLN3H2ZrwGTDamxmmY+Iep25sU4NuqhkoIIMWrzPZct+3P+JKWhbr4r/cV2l9U1QHwumUZXArpKa8DJQJWyYiqAO+wW49kng3vmBj7W8A/O6bcR37uukt2UYYRGJEk+GgqrwlSnDPtsuGJ8JSBeQaFlbIlsdKiYrlxm/S89UDSq6jwvdvgghRAGVMQ+xcJ5acBko3glt7nHfcjkmkznwyrXKCdAbd7VDXu+rUSXeBqzjPcAIgzdJXUcDOfu5jI4Bhf3mwxbPy6D0+xDYsQD/tBgD9uBxfTvTO/DdezIe7BV2uee3OF/7uh4pVSsAx3gLGlwnH7x6M1A3vgT8+oav8iK/oIFedqvMcxGXyI11AoCaLQzvX5X3+WmQDjy5lSsDfoVXS193GfMQXeBQqWQpy+4/ITUxKt07jareGOg9RfbhgV2bYN2Bi2jprgyclViBf0Xe6Tmppip8pd6/p/PgcLrRvn5Vyce3HeX+rr4d1ARYzi2Lv5wJHF4fngalpHHz/YUyIE+sx3V7nR7GzyRCCAEFUEGxW0wodnInQfd3qoflf56ECWE6KQKXfZI6/VPqwucbayTogqP8hcUwDBc8ifFP3OVOXHu+rrhvP+kT2YCMS7uHgHYPoXjHSbDI1LhvD4kxUF2bVNewYbBZE5lS0cWXNO/i86Fp2HsmHzc0rQHs5D1XSicc3kIQ3Z4BmvXByzO4yVrMEut/UftFDDjzlmo77BaZAKpCFf/ttg8CV3K5bFQQ7mpfFycuFALZMivUbM79X5TrX6ZrDFQIE+46x/BJteGQW+tYO8EOjB2Xp6LdguVPpAPLK0oHUHy+DJT0eEJSOpS43LjtvY0AgD2v3iL5meDVYusL/jtHf+N+wqFmi/BkM6UubiSmAHkngKoNQ388Qki5RAFUEOKsZl8AVdFuwRv9WqHiBROwLVxHZCSzTZoCKJlSynqP76Nr7IkEmUyAUrJEfxGJwAxUm3pV8ONT16G2eM4cvnB1UdIRQF13VRKuu8o7lxDvuVJsG+tfJ7kl3DgKQDoDtT2xNwa0SQDWvKTYDrtF4mQk5Vrglkn++yazfMlhHc/ljP7tuBvbpgKrnvXuQGqnvGPrHQOl9blU25XBAArAG01XIGPPYeSgivHjh4Ja91DAX8mPuvCValm87nkXC0oUJ662Hw9Txkns5gnq6xghdXFjwJfAn/OBdH3TZxBCiBy6lBiEClb/B7WZYfDwtQ1wd/s6ClsETxwssWCF3frEGKkMVPBXzw1fgfftS/oLXOmLnR9y7XI3wU3FU1WOIX3S16puokpp6jCdIHq7b1WopryeUax09tMiF5Vq6M4WkIGq3gQYugaoXEt6g1DoPNx/W+r9wF+mawxUCF/XIPaVb03CYQ2VM0N9XEO8c0kJLrpQAFXanLzor7b30z9nZLv1Du8WwQxNXIL6OkZIXSCs2pCruuotXU4IIUGiACoIFt7EqGbvbZmT2FARZ2FUz4G9J1w6xkCp7gsI6go8AG7wcNPeQLM+cFoq+hbLBVAshL/7V67rcYRVCVaNVg4L9Yn2A0u46n49XuOWDV7pf1zLmByt43Zk1jPLpvUMBFARLAPOCWEGKpgxUB2HCO8HewHBkEgELqLnh18K3dcMCqBKm1O8cuVTftonm+mvlVhB+oHSROqznrqdEkJCjD5VgsA/F/Nd5Q9zAKVrot6Wd/JO9ELQhU+tjHlqN+Xtn9rJ2xfDTVD74BJBYKR8buZ/0LeN0vmwjnFfcscJyXrN+wAPfwMk1ObuJ7fU0RYNrJ4AtKH08y8fQMnrdXUyAGBAWgPDzQoJtQyUkfL2RvR5F7iW1/0niAsIwcUfIQxetASTTokMFAVQpc5pXgAFAA5n4PeUHQ4kxIWpV3+bB9TXCRUKoAghEUBjoELENyg3wlfo5Y7mtsTDdP9n/gWhmMeFUSki0W6A/La123HVwVQodeHjq1elAnAeuKdjPfmVDP+eoTxBVNlXKI715CZg7w+BWRIPqQBK7V06Z2BHXClxId4mfp1jIQPFo3ssnsH2m61cJcAtszzHjUYGChEIXsRjoKgLX1lw6qIwgCoQlTB/zPwDXrIuwfb8T8PTgFqtgL/Ds+sAUp/70fp7JYSUWXRZJggsL1gye0v/hj0Dpe0lY0WTqQq734UgsJD8QlI4OVU48ePXFpRLlogXP9qtIT57tDMev76RtmOGI7CN2JV4lbZXTQW6PAXYK0k+LJuBkntOWBYMw/iDp2uGaWumpFBWNPTgz3OlNgYqqanSznW2JRSTybIYlJ4KALi5eXCTLAdN5v0i4O3CF4rPDxI1+UUSXTF5XrIuAQC03vEKN84xFMx27rMpqRnQ/mHpecnU3Piy8P71z6lvY6sINLtNMGk1ZU0JIaFGGagQsURoDJSgC1+LO2TXY82iIgkhyUCpdOFT+t01HlNpDBRfnMWM65vWUN4Z/5h6AqgYKTbgE2TwVzlOrpubxv3eNg04ugE4d8A/oW3ESAVQvIl75TJQj28A9q/mJrz9doR/eVDPZQjGALIsWtVNxO4JPZEg+7pobEOwbpoAZP0DnNktvw514SsTiiW67AHAi7c2xz+n8oAD3H1GfOEtGGP+BSrxPqNb3QP88T/gzF/a93HD89yPHgwDPLgYOPkn8MnN+rYlhBCN6FJiiPhO/IMNoLorl5UWFJHo8rT8embxyVkITnr4J07WeImDKv3u2o6v+dxMy4rx1bkJX+MShfMWqe9cx7qxa/ztLdGndS30aRVYMU/3bzhkNXDfAqD7OH3bGX0qvRcH0p8MfIzlZaDkApnabYHuLwAWhXL1fDWaA50fU16HH0Toqf4noUq8TboSWqt7uP/TRgQ+FmqVk4HHRXP8iP+uqAtfmVDsdEkur1nZjmoV/UGTyWoXZniDIdVLQXxhL5ziw1TtlBBCQBmooPCv6vmLSATZVaxuB8WHBRkok1n2eKwpHF34eF+I9srAHe9zcxt55xJS+t01HjNgIt1gmMzAswf9t7XSHsXpbpIxxt5TQ69riKHXSZclZgF979WK1YGr7zLUDkPu/wwoypMOfCvxAsJgrph7y8oDwMit+ra1VVZfx4g7ZwMdBwP108Ozf718VfioC19p5i0aUdFmFox/uqNtHXRsUBXYxd232uKAwsLQHFQygAphhktNtUZc9jxc00YQQso1+iY06Me/T+N8gcN33xxMFb473vffVtmeZYUlnOVOgcMyBqrTo8L9dRgkKlwQfAClncbgxWLnfnTtOoJ/FlqCmIrhGisTiYIQQZTMl8sa2uKBZ/YDzx0GTEG8VrXbAumjgN5va1u/hHdiaQ9TAGWNAxpezxWtEGOYyA+Gpy58pd6fxy5g+7GLAICGNfxTRrx/kw2Wpf3RoPiAf+Uzu4G8zNAcWOqzTep9HU7XDANa3R3ZYxJCygUKoAwatXiX4H5QAVTNq/23VbpPCLrwmSyoZOeSiO87+4G9qhe+cl0PADh/zTPyO9FduQzcCVSFqvwF/uW+xhkNoNRP5A1U4g5CjJ0g9nwNuKoX0P+L0O434nM6hVDlWkDFJA0rin5HfuEEhgF6vQlc+4S2Y/IDKGsU5sthWemus+Hg7Up8+wzuf0HgFmN/H0TRWz/t893u1MCfjem9awRw8GdgXq/wHNhWMXCZtyBNrGRYCSHEIOrCFyJmEwOc+Rs4tUP/xpWT/belJq7kcYsCqL5t6+CXvdlIaPgakN4Az45bibdL+uOb5rfL70Tqi00N65aejFcQGIUvA9WndW3M+e0wkBfUbrSp3SaEOwtBGfOKScCA5SFpjc1igsPpRreragAh6qlTqtz4CpD9L9DhEf3bOgr8t6PVjc0WqQDqBaDzcN44EurCV1qdySvy3b6tTW3c3aEurGYTrB/lcAtdxfp3OuZfYMbV8o8PXSudbWpxO/DkVq46HyGElGIUQIWIFU7gI5WJZOXEV/ffdip/mbGiMVBWswmzB3T0LXr9zla4VOREvaoKJ1qGr54zgbc1Z6CCu2odZzXj5zE3AK8GtRttWvYD+v4PqKM8Hq00+v35G/H3yTyuhPYf0W5NBIjfk5VqAMN+MbYvfgAVDbVaA2f/C/1+b3gR+O2twOX8QfhSF09IqWC3+j+j4yxmtK6XGPxOE+txYxEvZ0k/nlBHftuazYM/PiGERBldSgwRK6ucOVLeuAI30WxcFW5chgJxBkpsUHoqRt6oMo+H3jFBXkFloEJ80hXOkziG4Qbyq2WitLQhUhkDjZIT4tCzZTJXAU7pJIcECte4JzWPbwB6vAakPR6eLnw38isryk3ERlX4Siu7xd/90mrR8dpVVvl84FfDrNMBaHiD/77RMv+EEFJKUAYqZPSNJ8mv0gL5RSWo1exa7kUYvp7rvld8WeUoKnMxaaG1tHMAqQyUxslqo1VEIlpungic3gk07R3tlshrfR+QtQdo0CV8xyhL2Yr2DwMntnLj0QwzMO6sdlv/hZVojL0CaCLdUsxu8b9eTpeO99+QVUA1TxXPH0YDOxYIH+eP931sPXD+MPC+J2sf6WInhBASYVH/Jpw1axZSU1MRFxeHtLQ0bNu2TXH9mTNnolmzZqhQoQJSUlIwZswYFBUVKW4TCQz0FY9IqFgR9V7cActds7gFJhOXGapYXXE7wdef0S+pkGSgJJYpbyz/UCmuZSCr21ig/+exfSJhMnNFFJrfFu2WlA7WOOCeT4A290UvMIxX/nwIG6rCV2rxX67ECjqq4PEv0EldHBMXPEqoK70tIYSUQVH9lFu2bBnGjh2LOXPmIC0tDTNnzkSvXr2wf/9+1KwZWLp58eLFePHFFzF//nx06dIFBw4cwODBg8EwDKZPnx6F34DTy7QNt2Y8pW8jpZOQijWAgpyAxYuHp+HL33YB3iqzRq8EV2tkbDupDBRfGKvwBe4vFk7iYqENpFzpPBzY/xPQ7NbIHpcCqFLLOwdU37Z1kFJNRxdQtYs/4gDKGsddNHIU0CS2hJAyL6oB1PTp0zF8+HAMGcLNJTRnzhysXLkS8+fPx4svvhiw/qZNm9C1a1c89NBDAIDU1FQ8+OCD2LpV5ySYIfaRbSagu5CRwkmITLDRpXESutRsA0xTXk9V9auAl04DRzKApQ9p306tG49SCXeFttLpWFkW5VdXUHo/BgSbbbVVBIauCUlT9KG/0tLKO+H7Q53r69tQLYsk9Xnfoq++YxBCSCkVtS58DocDO3bsQI8ePfyNMZnQo0cPbN68WXKbLl26YMeOHb5ufkeOHMGqVavQp08f2eMUFxcjPz9f8BP7lLq78b609AZQDy0Hbp8J1GrFnYjp7sqnVonLWAbKZGiSJzqhC7l2A7n/r38udPuMdrai8U3AtU8Cd86KbjtKOxr3VGp5M1D8anyayBWC8BaLYJXnLCSEkLIsahmoc+fOweVyITk5WbA8OTkZ+/btk9zmoYcewrlz53DdddeBZVk4nU488cQTeOmll2SPM2XKFLz22mshbXtIaD2xvOVN4OeXedsFUUSiaZATJjLBdOGT/31LbSgUiuCgasPg9xEqd34A3PJG2ep+wzBA7ynh2HEY9hnDKIAqlViWReYFbsI3fjEJTUwyFVYHruD+V5n0nRBCyrJS9a2YkZGByZMnY/bs2di5cydWrFiBlStX4o033pDdZty4ccjLy/P9nDhxIoItVqK/Cx8AbtLdDoOATkOBuITQNyugLfyrkOHJQCkGXrL7i4ET2HYDuP9rGZh4d8hP3FxTqV1D26ZgMEzog6cG14V2fyS85P6uqChAqfTJ70d9t/UHULzX3M77rjF7lldMCqJlhBBSukXtWzEpKQlmsxnZ2dmC5dnZ2ahVq5bkNuPHj8fDDz+MYcOGAQBat26NgoICPPbYY3j55ZdhMgV+QdjtdtjtBqvOBev5o8A7BjIM/JOYhNqBj9/xvvE26TXwK2DpQOD2GUFmoEpVrK5N4xuBp3Zyk0rq1aBLeMuHx4qUa4BHfwaq6Bx/QWJLnXZAvc7G3uskat5ctdd3u1pFnd+D/Itn3Z4BTu0A2j7gX/bQMuDHMUCPV4NrJCGElEJRC6BsNhs6duyIdevWoV+/fgAAt9uNdevWYdSoUZLbFBYWBgRJZjP3Ic8ayWKEm+Gr+bzgpOVdQNe/gZTOIWmSgJanrPFNwLgTXEWmgvMh2GEZU71xtFsQ++qnRbsFMaSU/o2YzMCwtdFuBQlC1XgdJcwBYQYqvhrw6Grh47XbAsN/Db5hhBBSCkW1X8bYsWPxyCOPoFOnTujcuTNmzpyJgoICX1W+QYMGoW7dupgyhRvD0LdvX0yfPh3t27dHWloaDh06hPHjx6Nv376+QCrS9M7/5N9QqQsf7zGTCegZwTFciSmBy7zlbNW6zZW3DBQpv2KhCykhOjB637PUbZMQQmRF9ROyf//+yMnJwYQJE5CVlYV27dph9erVvsISmZmZgozTK6+8AoZh8Morr+DUqVOoUaMG+vbtizfffDNavwIsRgMoxUHoUTw5G6k8kbEyY0UkjKETWBJFtkrRbgEhqq6uk4B/T+fjmZ5N9W048GtREQlCCCF8Ub/ENGrUKNkuexkZGYL7FosFEydOxMSJEyPQMm3MMFiJSGsGKtJsChMthi0DZaBbU6XAiZYJiZi4BGDAV8AX90a7JYRIKipx4d/T3LQd6Y2r+x9wu4FlA+Q37DgYaNJD/nFCCCHRD6BKO4vRAEpJxAIovYGLWruUAqgQdbG8/zMg6x9ubBYh0XRVTyAuESjKi3ZLQogyu2XFP6f878tGNXgZ0xNbgf2r5Dek7taEEKKKAqggmcLRhS9S3YOqNdK3flAZqBCdmLW8k/shJCbofF/HYrEbUiYVOriLe7UT41Ctos3/gPOK8oahuthFCCFlGF1qClICo/JlJEcpoLh7LlCtMXDPPGP71qp6Y/+kiJqoBVAKwaTSVc2rbuH+1xvQEUIIkcQPoATcKhf9KANFCCGqKAMVpPetKnMydX4c2PcjkH9K+06TWwJP7wyuYVo1uVn7uqpZJKWr6wrb3vE+UP9a4Oq7tLeFkFhA1fhIjCoq4QKoeJvoa17pQhfgr7pKCCFEFl1qClJ70yHlFfq8Azy5OTKNCTu1DJTSpgpvtQpVgPSRQEIdI40ipBSJ8S58FBCWGVc8AVScVRQQsSrjdikDRQghquiT0gD9k/aWkZOSYDJQ9KVMyqQy8rftRWO0ygxvF74KNlEA5aYAihBCgkWflAZcLnYCAOJQLL9Szav9t6W+kErlld5gxkCVxt+XEEJKJ18XPr0ZKOrCRwghqiiAMiC/iAug6jDn5Vca/KP/tmTwUAoDCiNV+Lzjmq4dEfr2EBJtei8MVG0YnnYEq6JnXrUWt0e3HTFk1qxZSE1NRVxcHNLS0rBtm/Ik47m5uRg5ciRq164Nu92Opk2bYtUqhXLhYXZFKgPldgPLBylvqDZGihBCCBWRMML7xVQd+fIrxVfz3y4zXSIMdOG791OuSIS9clhaREip8MiPQOZmoPV90W6JtJFbgZz9XDEXgmXLlmHs2LGYM2cO0tLSMHPmTPTq1Qv79+9HzZqBk3g7HA707NkTNWvWxFdffYW6devi+PHjqFKlSuQb73G+wAEASKhg9S/My1Tf0OkIU4sIIaTsoADKAJebCxTiGYUufAISgUdp7NIm1+Y67YHTu4BW90pvQ8ETKbM0/h037Mb9xKr4akCD9Gi3ImZMnz4dw4cPx5AhQwAAc+bMwcqVKzF//ny8+OKLAevPnz8fFy5cwKZNm2C1cgFLampqJJss4Haz+PHv0wCAelUq8B7QMPG7iwIoQghRU1ZSIxHlDaAqKI2B4pPMQJXCAEquzUN/AZ47AtRoGtnmEEJIiDkcDuzYsQM9evTwLTOZTOjRowc2b5auqPr9998jPT0dI0eORHJyMlq1aoXJkyfD5ZIPWIqLi5Gfny/4CZUvd5zAJU9X87pVeQGUU8N3FgVQhBCiigIoA9yesT7xKNK2gVTmJpYyUNZ47n+TVXk9uTabLUDF6qFtEyGlQSz9HZOQOHfuHFwuF5KTkwXLk5OTkZWVJbnNkSNH8NVXX8HlcmHVqlUYP348pk2bhkmTJskeZ8qUKUhMTPT9pKSkhOx3OJJT4Lt9TSqvO7lTw8TvFEARQogqCqAM8GWgGI1fNLE+BmrIKiC1GzD0Z5UV6WSRECH6myCA2+1GzZo18fHHH6Njx47o378/Xn75ZcyZM0d2m3HjxiEvL8/3c+LEiZC1p8DBZZ+evvkq2Cy8758SDRf9KIAihBBVNAbKAJcnA1XJFMQYqFhSp72waqAcutpOCCnjkpKSYDabkZ2dLVienZ2NWrVqSW5Tu3ZtWK1WmM3+inctWrRAVlYWHA4HbDZbwDZ2ux12uz20jfcoLOa6Dlayi0qSa8pAlYShRYQQUrbEeGokNnkzULUqaCz3WlbKmJfKNhNCiHY2mw0dO3bEunXrfMvcbjfWrVuH9HTpQhtdu3bFoUOH4Hb7vxMOHDiA2rVrSwZP4eadqzDeJrpGShkoQggJCQqgDNBfREIi8Oj6dAhbFCGUgSJEyF4p2i0gYTB27FjMnTsXCxcuxN69ezFixAgUFBT4qvINGjQI48aN860/YsQIXLhwAaNHj8aBAwewcuVKTJ48GSNHjoxK+wsd3gwUL4A6fxhYNkB9Yy2FJgghpJyjLnwGuN0s0pi9eMCxgluQkgac2Kpt4/sWAA26ApUC5xKJeRRAESJ0/2fAV48CN42PdktICPXv3x85OTmYMGECsrKy0K5dO6xevdpXWCIzMxMmk//6Y0pKCtasWYMxY8agTZs2qFu3LkaPHo0XXnghKu33joGK50+i+/Mr2jamLnyEEKKKAigDXCyLZfY3/AuqpmoPoCxxpTN4IoQEqtUaGLU92q0gYTBq1CiMGjVK8rGMjIyAZenp6diyZUuYW6VNgacLnyADxWrsck5d+AghRBV14TPA24XPx1ZR+8aW8AwaJoQQQgCgwFNEIp4fQJk1jsWqErpy6oQQUlZRAGVAQABlryxaQ6Grm1VHsEUIIYTo5O3CJ6jCZ4lT37D1/cCt74SpVYQQUnZQFz4DAjNQogBKaqxQ2ggg9zhQ75rwNSySaDwUIYTEnLP5Rcgt5MYx+arwnfkb2LNceUN7AnDP3DC3jhBCygYKoAxwsypd+EwST+utb4WvQYQQUg61b98ejMaLOTt37gxza2LDy9/+47td0RtAfdRNfUPx9xohhBBZFEAZ4BKPxRWXMpYKoAghhIRUv379ot2EmPPPqTzf7XjxRLqEEEJCQvOZ/tixYzXvdPr06YYaU1o43aIISjwGigIoQggJu4kTJ0a7CTEnIc6KM3nchLlWMw1zJoSQcNB8pr9r1y7B/Z07d8LpdKJZs2YAuFnXzWYzOnbsGNoWxqDALnziAIqu+hFCCIm8665Kwv7sS+orxlcHWvYD/pznWUBd+AghRCvNAdT69et9t6dPn47KlStj4cKFqFq1KgDg4sWLGDJkCLp109DXupQL6MKnZQwUIYSQsHG5XJgxYwaWL1+OzMxMOBzC+YwuXLgQpZZFlsXMjQkbel1D+ZXaDQTueB/4fVqEWkUIIWWLofz+tGnTMGXKFF/wBABVq1bFpEmTMG1a2f9AdgeUMS+HY6CsFaLdAkII8Xnttdcwffp09O/fH3l5eRg7dizuvvtumEwmvPrqq9FuXsQ4Xdz3kzeQklS5FmCi7n2EEGKUoU/Q/Px85OTkBCzPycnBpUsaug6Ucq6ALnzlKIDq+TrQaShQp0O0W0IIIT5ffPEF5s6di2eeeQYWiwUPPvggPvnkE0yYMAFbtmyJdvMixjvNhsWkEEB1fTpCrSGEkLLJUAB11113YciQIVixYgVOnjyJkydP4uuvv8bQoUNx9913h7qNMccZMA+UKIBiyvCVva6jgdun0zxQhJCYkpWVhdatWwMAKlWqhLw8rhrd7bffjpUrV0azaRHlLXJkkcswXTMciEvkbvM/xqmMOSGEaGboTH/OnDm49dZb8dBDD6FBgwZo0KABHnroIfTu3RuzZ88OdRtjTkAXPrNVeL8sZ6AIISQG1atXD2fOnAEANG7cGD///DMAYPv27bDb7dFsWkT5uvDJZaD4RY4aduc9QAEUIYRopftM3+Vy4c8//8Sbb76Jd999F4cPHwbAfWFVrFhRZeuywSUOoMQZJwqgCCEkou666y6sW7cOaWlpeOqppzBw4EDMmzcPmZmZGDNmTLSbFzHeHhIWuRLmDC+ASrkmAi0ihJCyR/eZvtlsxi233IK9e/eiYcOGaNOmTTjaFdMCyphTAEUIIVH11ltv+W73798f9evXx+bNm3HVVVehb9++UWxZZDld3i58Mhkoue7X1IWPEEI0M3Sm36pVKxw5cgQNGyqUSS3DXG4W59gEJDH5wNC1EgFUGR4DRQghpUB6ejrS09Oj3YyI82egNHThI4QQYoihAGrSpEl49tln8cYbb6Bjx44BXfcSEhJC0rhY5XSzYLz9xe2VA7+QKANFCCERd/r0aWzcuBFnz56F2y2csO/pp8tH5TnVKnwMBVCEEBIsQ2f6ffr0AQDccccdYHjdAViWBcMwcLlcoWldjHLzAyjGJJGBsgZuRAghJGwWLFiAxx9/HDabDdWrVxd8NzEMU24CqBKXyhgoykARQkjQDAVQ69evD3U7ShUXy8Lkq1jEBAZQre+LeJsIIaQ8Gz9+PCZMmIBx48bBVI67Ubs8mTez7gwUjYEihBCtDAVQN9xwQ6jbUaooZqBunghcMzQ6DSOEkHKqsLAQDzzwQLkOngDeGCgtZcwJIYQYEtQ3TWFhIfbt24e///5b8FPWuVh+AMUIqxo1vpG+oAghJMKGDh2KL7/8MtrNiDqnWhc+cRU+b4+Jrv8XvkYRQkgZYygDlZOTgyFDhuCnn36SfLysj4HiikjIMNsi2RRCCCEApkyZgttvvx2rV69G69atYbUKx6JOnz49Si2LLKdbrYy56AJfvw+Ba0cAtduHuWWEEFJ2GAqg/u///g+5ubnYunUrunfvjm+++QbZ2dmYNGkSpk2bFuo2xhy3m4UJngpP3u57Xf8PuJQF1GwZtXYRQkh5NWXKFKxZswbNmjUDgIAiEuWF7i58ZitQt2OYW0UIIWWLoQDq119/xXfffYdOnTrBZDKhQYMG6NmzJxISEjBlyhTcdtttoW5nTHG54c9Aeb+Ye74WreYQQki5N23aNMyfPx+DBw+OdlOiyqU2DxSVMSeEkKAZGgNVUFCAmjVrAgCqVq2KnJwcAEDr1q2xc+fO0LUuRrlZUREJQgghUWW329G1a9doNyPqfGXMvcU0WFF1PRqjSwghQTN09t+sWTPs378fANC2bVt89NFHOHXqFObMmYPatWuHtIGxyOl2C8uYE0IIiarRo0fj/fffj3Yzos4lHgP11xLhCnTRjxBCgmaoC9/o0aNx5swZAMDEiRPRu3dvfPHFF7DZbFiwYEEo2xeTXG4AlIEihJCYsW3bNvz666/48ccfcfXVVwcUkVixYkWUWhZZAVX4/vtOuAJ9ZxFCSNAMBVADBw703e7YsSOOHz+Offv2oX79+khKSgpZ42IVV0SCV8acEEJIVFWpUgV33313tJsRdd4iEr6JdA+sFq5AXfgIISRohgKoI0eOoFGjRr778fHx6NChQ8gaFesE80BRFz5CCIm6Tz/9NNpNiAku1Sp8hr72CSGE8BjK5Tdp0gT169fHww8/jHnz5uHQoUOGGzBr1iykpqYiLi4OaWlp2LZtm+L6ubm5GDlyJGrXrg273Y6mTZti1apVho9vhNtNRSQIIYTEnhKXZwyUXBU+S1wEW0MIIWWToUtRJ06cQEZGBn777Te88847GD58OOrUqYMbbrgBN954I4YNG6ZpP8uWLcPYsWMxZ84cpKWlYebMmejVqxf279/vq/LH53A40LNnT9SsWRNfffUV6tati+PHj6NKlSpGfg3DnG4WZoa68BFCSDR16NAB69atQ9WqVdG+fXvF+Z7KQ4VYgJ+Bkrm4Z7FHsDWEEFI2GQqg6tatiwEDBmDAgAEAgIMHD+LNN9/EF198gaVLl2oOoKZPn47hw4djyJAhAIA5c+Zg5cqVmD9/Pl588cWA9efPn48LFy5g06ZNvgHCqampRn6FoHirHAGgDBQhhETJnXfeCbvd7rtdnibMlUMZKEIICT9DAVRhYSE2btyIjIwMZGRkYNeuXWjevDlGjRqF7t27a9qHw+HAjh07MG7cON8yk8mEHj16YPPmzZLbfP/990hPT8fIkSPx3XffoUaNGnjooYfwwgsvwGyO3MBYlh9A0RgoQgiJiokTJ/puv/rqq9FrSAxRHQNltkWwNYQQUjYZCqCqVKmCqlWrYsCAAXjxxRfRrVs3VK1aVdc+zp07B5fLheTkZMHy5ORk7Nu3T3KbI0eO4Ndff8WAAQOwatUqHDp0CE8++SRKSkoEX6R8xcXFKC4u9t3Pz8/X1U4pwgwUBVCEEBJtjRo1wvbt21G9enXB8tzcXHTo0AFHjhyJUssiq8QtKmMuRhkoQggJmqH+Z3369IHL5cLSpUuxdOlSfPnllzhw4ECo2xbA7XajZs2a+Pjjj9GxY0f0798fL7/8MubMmSO7zZQpU5CYmOj7SUlJCbodlZwX/HcogCKEkKg7duwYXC5XwPLi4mKcPHkyCi2KDtUMFI2BIoSQoBnKQH377bcAgL///hu//fYbfv75Z4wfPx4WiwXdu3fHF198obqPpKQkmM1mZGdnC5ZnZ2ejVq1aktvUrl0bVqtV0F2vRYsWyMrKgsPhgM0W2DVh3LhxGDt2rO9+fn5+0EHUozlv8+5RAEUIIdHy/fff+26vWbMGiYmJvvsulwvr1q1Dw4YNo9G0iGNZ1h9AuR3A5CaBK5mtgcsIIYToEtSEEK1bt4bT6YTD4UBRURHWrFmDZcuWaQqgbDYbOnbsiHXr1qFfv34AuAzTunXrMGrUKMltunbtisWLF8PtdsPkqTB04MAB1K5dWzJ4AgC73e4bZBwqVxX/679DRSQIISRqvN8fDMPgkUceETxmtVqRmpqKadOmRaFlkeedRBcAKuz9CnBcClyJvrMIISRohj5Jp0+fjjvuuAPVq1dHWloalixZgqZNm+Lrr79GTk6O5v2MHTsWc+fOxcKFC7F3716MGDECBQUFvqp8gwYNEhSZGDFiBC5cuIDRo0fjwIEDWLlyJSZPnoyRI0ca+TUMs7EO/x3qwkcIIVHjdrvhdrtRv359nD171nff7XajuLgY+/fvx+233x7tZkaEixdAWfKPS6/ERK7gEiGElFWGMlBLlizBDTfcgMceewzdunUTdJnQo3///sjJycGECROQlZWFdu3aYfXq1b7CEpmZmb5MEwCkpKRgzZo1GDNmDNq0aYO6deti9OjReOGFFwwd35Dzh0ULKIAihJBoO3r0aLSbEHXeEuY1cRG2zTOlV7JQFT5CCAmWoQBq+/btIWvAqFGjZLvsZWRkBCxLT0/Hli1bQnZ83QovCO9TdwhCCIkJ69atw4wZM7B3714A3BjZ//u//0OPHj2i3LLI8Gagupr+kV6hVmugavkYD0YIIeFk+Oz/999/x8CBA5Geno5Tp04BABYtWoSNGzeGrHExSdxlj7rwEUJI1M2ePRu9e/dG5cqVMXr0aIwePRoJCQno06cPZs2aFe3mRUSJiwugTGClV7jrI/rOIoSQEDAUQH399dfo1asXKlSogF27dvnmWcrLy8PkyZND2sCYExBAUQaKEEKibfLkyZgxYwaWLFmCp59+Gk8//TQWL16MGTNmlP3vJQ+nZ45Ci0kmgCKEEBIShs7+J02ahDlz5mDu3LmwWv0lUbt27YqdO3eGrHGxSXz1jq7mEUJItOXm5qJ3794By2+55Rbk5eVFoUWRV1TCBVB2i8z3EkuBFSGEhIKhAGr//v24/vrrA5YnJiYiNzc32DbFNurCRwghMeeOO+7AN998E7D8u+++M1SFb9asWUhNTUVcXBzS0tKwbds22XUXLFgAhmEEP3FxcbqPGaxChxMAEGeWC5QogCKEkFAwVESiVq1aOHToEFJTUwXLN27ciEaNGoWiXbFL3GWPuvARQkjUtWzZEm+++SYyMjKQnp4OANiyZQv++OMPPPPMM3jvvfd86z799NOK+1q2bBnGjh2LOXPmIC0tDTNnzkSvXr2wf/9+1KxZU3KbhIQE7N+/33eficLFtaISFwAgzgzAJbEC645oewghpKwyFEANHz4co0ePxvz588EwDE6fPo3NmzfjmWeewYQJE0LdxhhDXfgIISTWzJs3D1WrVsV///2H//77z7e8SpUqmDdvnu8+wzCqAdT06dMxfPhw35yEc+bMwcqVKzF//ny8+OKLktswDINatWqF4Dcx7orD04XPLNeFjwIoQggJBUMB1Isvvgi3242bb74ZhYWFuP7662G32/Hcc89h2LBhoW5jbKEufIQQEnO880CdO3cOAJCUlGRoPw6HAzt27BBM4m4ymdCjRw9s3rxZdrvLly+jQYMGcLvd6NChAyZPnoyrr75adv3i4mJfASYAyM/PN9RePm8XPpvcXLkUQBFCSEgY6n/GMAxefvllXLhwAf/88w+2bNmCnJwcJCYmomHDMj7HREAXPgqgCCEkmnJzczFy5EgkJSUhOTkZycnJSEpKwqhRo3SPyz137hxcLpdvQnev5ORkZGVlSW7TrFkzzJ8/H9999x0+//xzuN1udOnSBSdPnpQ9zpQpU5CYmOj7SUlJ0dVOKVc8XfjssgFU0IcghBACnRmo4uJivPrqq1i7dq0v49SvXz98+umnuOuuu2A2mzFmzJhwtTVGUMBECCGx4sKFC775CAcMGIAWLVoAAP777z8sWLAA69atw6ZNm1C1atWwtSE9Pd037goAunTpghYtWuCjjz7CG2+8IbnNuHHjMHbsWN/9/Pz8oIMo7xgou9ylUcpAEUJISOgKoCZMmICPPvoIPXr0wKZNm3DfffdhyJAh2LJlC6ZNm4b77rsPZrPcpa8ygjJOhBASM15//XXYbDYcPnw4IGv0+uuv45ZbbsHrr7+OGTNmaNpfUlISzGYzsrOzBcuzs7M1j3GyWq1o3749Dh06JLuO3W6H3W7XtD+trji4AMoq9zWcUDukxyOEkPJKVxe+L7/8Ep999hm++uor/Pzzz3C5XHA6nfjrr7/wwAMPlP3gCQBloAghJHZ8++23mDp1akDwBHAVY9955x3J8uZybDYbOnbsiHXr1vmWud1urFu3TpBlUuJyubBnzx7Urh3ZgKXExfXRszISmaaBXwOJ9SLaHkIIKat0ZaBOnjyJjh07AgBatWoFu92OMWPGRKVcKyGEEHLmzBnFYg2tWrWSHbskZ+zYsXjkkUfQqVMndO7cGTNnzkRBQYGvKt+gQYNQt25dTJkyBQCX6br22mvRpEkT5Obm4t1338Xx48cjXlSpxM0FTlZGooZ5kx4RbQshhJRlugIol8sFm83m39hiQaVKlULeqNhGo3AJISRWJCUl4dixY6hXTzq7cvToUVSrVk3XPvv374+cnBxMmDABWVlZaNeuHVavXu3LcmVmZsJk8nfguHjxIoYPH46srCxUrVoVHTt2xKZNm9CyZUvjv5gBTk8GyoaSiB6XEELKG10BFMuyGDx4sK/fdlFREZ544glUrFhRsN6KFStC18JYw1IARQghsaJXr154+eWXsXbtWsEFPoArfDR+/Hj07t1b935HjRqFUaNGST6WkZEhuD9jxgzNY6zCyeniMlBxbFGUW0IIIWWbrgDqkUceEdwfOHBgSBtTOlAARQghseL1119Hp06dcNVVV2HkyJFo3rw5WJbF3r17MXv2bBQXF2PRokXRbmZElLi57yc7W6yyJiGEkGDoCqA+/fTTcLWj9KAMFCGExIx69eph8+bNePLJJzFu3Diwns9ohmHQs2dPfPDBByGZY6k08GagKIAihJDw0hVAEYAyUIQQElsaNmyIn376CRcvXsTBgwcBAE2aNNE99qm081bhs1EXPkIICSsKoPSiDBQhhMSkqlWronPnztFuRtSUeDJQNjcFUIQQEk665oEiAGWgCCGExCJfFT4KoAghJKwogNKLMlCEEEJikG8eKAqgCCEkrCiA0s0fQOW2HhLFdhBCCCF+3gxUhZKLUW4JIYSUbRRA6cXLQDFRbAYhhBDC53S7YYET8cU50W4KIYSUaRRA6UYBFCGEkNhT4mJRi7kAE9yA2aa+ASGEEEMogNKLNwSKYSiEIoQQEhtKXG7UY85xdxLrRbcxhBBShlEApRsVkSCEEBJ7nC4Wr1kWcHcSy8fkwYQQEg0UQOklGANFwRQhhJDYEF9yAc1MJ7k7yVdHtzGEEFKG0US6uvECKOrBRwghJEZY3MX+Oze+BKQ9Aez5Emg3IHqNIoSQMogCKL0E80BRBEUIISQ2MG4nAMBpqQiLvTJgrwxc/2yUW0UIIWUPdeHTjarwEUIIiUGsi/uPoWujhBASThRA6cVSFz5CCCGxx5uBYk301U4IIeFEn7I6sazbd5viJ0IIIbGCoQwUIYREBAVQOrGCMVBUhY8QQkiMcHsCKJM5yg0hhJCyjQIondyCLnyUgyKEEBIbvBkoUAaKEELCigIonVi3P4Biq9BEhYQQQmKDifWOgaIMFCGEhBMFUDrxx0CVdHwsii0hhBBC/HwZKBNloAghJJwogNKNy0Dtd9eDyRoX5bYQQgghHJObikgQQkgkUAClk9vNZaBYMDDRGChCCCGxwtOFD1TGnBBCwoo+ZXXyVuFjQfNAEUIIiR0mUBEJQgiJBAqgdPJX4aMMFCGEkNjh68JHY6AIISSsKIDSy+3NQDEwUfxECCEkRviLSFAVPkIICScKoHRys94xUKAMFCGEkJhBVfgIISQyKIDSyT8GiqExUIQQQmKGiQIoQgiJCAqgdBIWkaAIihBCSGwwURc+QgiJCAqgdGLd3ol0KXgihBASO6gLHyGERAYFUDqx8HfhI4QQQmKFCd55oCgDRQgh4UQBlE4sSxkoQgghscdbxpwyUIQQEl4UQOnknQaKpfiJEEJIDPFOpMtQAEUIIWEVEwHUrFmzkJqairi4OKSlpWHbtm2atlu6dCkYhkG/fv3C20AeN42BIoQQEoPsbDEAgLVWiHJLCCGkbIt6ALVs2TKMHTsWEydOxM6dO9G2bVv06tULZ8+eVdzu2LFjePbZZ9GtW7cItdSDpTFQhBBCYk8cuAAK1vjoNoQQQsq4qAdQ06dPx/DhwzFkyBC0bNkSc+bMQXx8PObPny+7jcvlwoABA/Daa6+hUaNGEWwtjYEihBASm7wZKFgoA0UIIeEU1QDK4XBgx44d6NGjh2+ZyWRCjx49sHnzZtntXn/9ddSsWRNDhw5VPUZxcTHy8/MFP8FwezNQNAcUIYSQGMGyLCp4MlCMjTJQhBASTlENoM6dOweXy4Xk5GTB8uTkZGRlZUlus3HjRsybNw9z587VdIwpU6YgMTHR95OSkhJUm1k3G9T2hBBCSKixLFCBcXB3qAsfIYSEVdS78Olx6dIlPPzww5g7dy6SkpI0bTNu3Djk5eX5fk6cOBFcIzxd+GgMFCGEkFjhYlnfGCjKQBFCSHhFtdZpUlISzGYzsrOzBcuzs7NRq1atgPUPHz6MY8eOoW/fvr5l3qp4FosF+/fvR+PGjQXb2O122O32kLXZO5EujYEihBASK9wsi3hvEQkKoAghJKyimoGy2Wzo2LEj1q1b51vmdruxbt06pKenB6zfvHlz7NmzB7t37/b93HHHHbjxxhuxe/fuoLvnacFSFT5CCCExxu0G4sB14WOojDkhhIRV1GfbGzt2LB555BF06tQJnTt3xsyZM1FQUIAhQ4YAAAYNGoS6detiypQpiIuLQ6tWrQTbV6lSBQACloeLbwwUFZEghBASI1wsCwvDTaRrslij3BpCCCnboj4Gqn///pg6dSomTJiAdu3aYffu3Vi9erWvsERmZibOnDkT5Vb6uamMOSGElHmlaYJ3gOvCZwEXQDFmCqAIISScop6BAoBRo0Zh1KhRko9lZGQobrtgwYLQN0gJFeEjhJAyzTvB+5w5c5CWloaZM2eiV69e2L9/P2rWrCm7XdQmeAfgdrMwg7vAZzLFxFc7IYSUWVHPQJU23ol0aR4oQggpm0rbBO8AUOLyZ6CoCx8hhIQXBVA6eYtIUBc+QggpeyIxwTsQ+kneXbwMFEMZKEIICSsKoHSiKnyEEFJ2RWKCdyD0k7yXuNy+DBQogCKEkLCiAEo3t/oqhBBCygUjE7wDoZ/knctAUQBFCCGRQJ+yOvm68NEYKEIIKXMiMcE7EPpJ3p1uFnEMBVCEEBIJlIHSyTsPFHXhI4SQsqc0TvAOAE632zcGCiZzRI5JCCHlFV2m0omKSBBCSNlW2iZ4BwAnrwofaB4oQggJKwqgdPKWMacufIQQUjb1798fOTk5mDBhArKystCuXbuACd5NptjqwOGkMVCEEBIx9Cmrky8BRRkoQggps0rVBO8AXG43LL4ufPTVTggh4RRbl9BKAcpAEUIIiTVOFz8DRWOgCCEknCiA0sk/BooQQgiJDU43SxkoQgiJEAqg9KKJdAkhhMQYGgNFCCGRQwGUbtSFjxBCSGxxOl2wMJSBIoSQSKAASifvPFBURIIQQkiscLlK/HdoDBQhhIQVBVA60TxQhBBCYo3L6fTfMdE8UIQQEk4UQOnkC6CoCx8hhJAY4XbyM1DUhY8QQsKJAii9KANFCCEkxrhdFEARQkikUAClkzcDxVIGihBCSIxwC7rw0RgoQggJJwqgdGK9VfgoA0UIISRGsG4ugHLBRF3MCSEkzCiA0sk/Biq67SCEEEJ83NwcUG6Gsk+EEBJuFEDp5RsDRU8dIYSQGOHmxkC5QAEUIYSEG0UBOvnLmBNCCCExwhNAUQaKEELCjwIovaiMOSGEkFjj6cLnYqgCHyGEhBsFUDrRRLqEEEJiDeMpIuGmLnyEEBJ2FEDpRRkoQgghsYaKSBBCSMRQAKUTy1IZc0IIITHGm4GiAIoQQsKOAiidfCUkKANFCCEkVrDUhY8QQiKFAiidKANFCCEk1jCUgSKEkIihAEovGgNFCCEk1lAARQghEUMBlG5UhY8QQkiM8QVQVMacEELCjQIonVg3ZaAIIYTEFsZXhY8CKEIICTcKoHSjDBQhhJDYwrDUhY8QQiKFAiidfEUkKANFCCEkRjA0DxQhhEQMBVB6+euYR7MVhBBCiJ9nDBRLARQhhIQdBVA6UQaKEEJIrGFYykARQkikUAClE+sbAkUBFCGEkNjA+DJQVESCEELCjQIo3bgMFENd+AghhMQKTwaKZehrnRBCwo0+afXypKBYykARQgiJFb4AirrwEUJIuFEApRdLZcwJIYTEFm8VPspAEUJI+NEnrU6sJ4CiBBQhhJBYwXhKxLL0tU4IIWFHn7S6eTJQdJWPEEJIrKAMFCGERAx90url68JHCCGExAjfFBs0BooQQsKNAiidvF34KANFCCEkZlAVPkIIiRj6pNWJBRWRIIQQElsYXwaKvtYJISTc6JNWL18RCQqgCCGExAhPAEUZKEIICT/6pNXL14Uvus0ghBBCvBjqwkcIIRETE5+0s2bNQmpqKuLi4pCWloZt27bJrjt37lx069YNVatWRdWqVdGjRw/F9UON9XaTiI2njhBCCOFd3KMiEoQQEm5RjwKWLVuGsWPHYuLEidi5cyfatm2LXr164ezZs5LrZ2Rk4MEHH8T69euxefNmpKSk4JZbbsGpU6ci23DqwkcIISRGeDNQNAaKEELCL+qftNOnT8fw4cMxZMgQtGzZEnPmzEF8fDzmz58vuf4XX3yBJ598Eu3atUPz5s3xySefwO12Y926dZFpMI2BIoQQEmt8Y6AoA0UIIeEW1QDK4XBgx44d6NGjh2+ZyWRCjx49sHnzZk37KCwsRElJCapVqyb5eHFxMfLz8wU/QWGpCh8hhJDYQlX4CCEkcqL6SXvu3Dm4XC4kJycLlicnJyMrK0vTPl544QXUqVNHEITxTZkyBYmJib6flJSUIFvNfUlRBooQQkisoC58hBASOaX6k/att97C0qVL8c033yAuLk5ynXHjxiEvL8/3c+LEiaCO6U9AUQBFCCFllZ7iRitWrECnTp1QpUoVVKxYEe3atcOiRYsi2Fr4uvBRAEUIIeFniebBk5KSYDabkZ2dLVienZ2NWrVqKW47depUvPXWW/jll1/Qpk0b2fXsdjvsdntI2svxVuGjAIoQQsoib3GjOXPmIC0tDTNnzkSvXr2wf/9+1KxZM2D9atWq4eWXX0bz5s1hs9nw448/YsiQIahZsyZ69eoVkTZ7u/CxJhoDRQgh4RbVS1U2mw0dO3YUFIDwFoRIT0+X3e6dd97BG2+8gdWrV6NTp06RaKqPr1IsxU+EEFIm6S1u1L17d9x1111o0aIFGjdujNGjR6NNmzbYuHFjBFtNE+kSQkikRP2TduzYsZg7dy4WLlyIvXv3YsSIESgoKMCQIUMAAIMGDcK4ceN867/99tsYP3485s+fj9TUVGRlZSErKwuXL1+OTIMpgiKEkDIr2OJGLMti3bp12L9/P66//nrZ9UJd4Mg7BoqhAIoQQsIuql34AKB///7IycnBhAkTkJWVhXbt2mH16tW+whKZmZkwmfxfCB9++CEcDgfuvfdewX4mTpyIV199NQItpip8hBBSVv1/e3ceF1W5/wH8MwPMMDjCCMiwKApCau6JC6LpTYzKi1o3lzQFRbuuYVxNzT0XyJZrZZp2C3OLlp+aqZVKuV5cA1fEDbVUxKvJIrLO8/tDmRzBmoHZ5/N+vXgp5zxn5vmegfPle55znvNnkxudPn36kdvl5eUhICAAJSUlcHJywtKlS9GrV69Htk9MTMTcuXON1m/J/ZN7nMaciMj0LF5AAcD48eMxfvz4atft3LlT5/uLFy+avkN/hs+BIiKih9StWxcZGRkoLCxEamoqEhISEBwcjB49elTbftq0aUhISNB+n5+fX6tZYiXgCBQRkblYRQFlSwR4CR8Rkb2q6eRGUqkUISEhAIC2bdsiMzMTiYmJjyygjD3BkUTDSSSIiMyFp6oMVHmZhIS7jojI7tR0cqOHaTQalJSUmKKLj3rHe//wEj4iIpPjCJSBhHYSCcv2g4iITCMhIQExMTEICwtDx44dsXjx4iqTGwUEBCAxMRHAvfuZwsLC0KRJE5SUlGDr1q1YvXo1li1bZrY+S7XPgWJyIiIyNRZQBqssoDgCRURkjwyd3OjOnTsYO3YsfvvtNygUCjRr1gxr1qzBwIEDzdfp+wWUhCNQREQmxwLKUNpJJCzcDyIiMhlDJjeaP38+5s+fb4ZePZq08jlQUp7cIyIyNR5pDVZZQHHXERGRdah8DhTvgSIiMj1WAYYSfA4UERFZFwkvLyciMhseaWuK1/AREZGVqByBknAacyIik+M9UIbS3qjLAorIVCoqKlBWVmbpblANuLi4wMmJf8SbW+UjNgRHoIhMQqPRoLS01NLdoBqSyWQ6k//UFgsoA1VewMcRKCLjE0IgJycHt2/ftnRXqBZUKhV8fX15osmMJLg/AsUCisjoSktLkZ2dDc39B1aT7ZFKpQgKCoJMJjPK67GAMpCkcgSK90ARGV1l8eTj4wM3Nzf+AW5jhBAoKipCbm4uAMDPz8/CPXIclSNQkDKtExmTEALXrl2Dk5MTGjZsaNRRDDIPjUaDq1ev4tq1awgMDDTK3xY80hqs8kZd/mFHZEwVFRXa4snLy8vS3aEaUigUAIDc3Fz4+Pjwcj4zkfDyciKTKC8vR1FREfz9/eHm5mbp7lAN1a9fH1evXkV5eTlcXFxq/Xosow0ktPUTdx2RMVXe88QEZfsqP0Pex2Y+0vuX8IGTSBAZVUXFvd8tY136RZZR+flVfp61xSrAYHyQLpEp8Qy67eNnaH6VI1AsoIhMg8c122bsz48FlIG015lzBIqIiKyEFPcLKOYmIiKT45HWYLwHiois35w5c9C2bVtLd4PM5v7VERyBIiIrZi+5iQWUoe6PQHEWPiJ6UE5ODuLj4xESEgJXV1eo1WpERERg2bJlKCoqsnT3yM5JtZNIMK0T0R+Ym0yDs/AZrPIeKBZQRHTPhQsXEBERAZVKhYULF6JVq1aQy+U4fvw4VqxYgYCAAPTp06fKdmVlZUaZDYiIk0gQ0cOYm0yHp6oMVM/t3g9UHVf+YBGZkhACRaXlFvkSQvx1Bx8wduxYODs74/DhwxgwYACaN2+O4OBg9O3bF1u2bEF0dDSAeydeli1bhj59+qBOnTpYsGABAODbb7/FE088AVdXVwQHB2Pu3LkoLy/Xvv7t27cxcuRI1K9fH+7u7njqqadw9OhRnT4kJSVBrVajbt26iIuLQ3FxsXbd7t274eLigpycHJ1tJk6ciG7duhkUK1kn3p9LZB7MTcxNAEegDNbK3x24CQR61rF0V4js2t2yCjw+60eLvPepN6PgJtPv8Hjz5k1s27YNCxcuRJ061R8XHhyxnjNnDpKSkrB48WI4Oztjz549GDZsGD744AN069YN58+fxyuvvAIAmD17NgCgf//+UCgU+P777+Hh4YHly5ejZ8+eOHPmDDw9PfHVV19hzpw5+Oijj9C1a1esXr0aH3zwAYKDgwEATz75JIKDg7F69WpMnjwZwL0zjGvXrsWiRYtqvJ/IelSOQEn4IF0ik2JuYm4COAJVA5xEgoj+cO7cOQgh0LRpU53l3t7eUCqVUCqVmDJlinb54MGDMXz4cAQHByMwMBBz587F1KlTERMTg+DgYPTq1Qvz5s3D8uXLAQB79+7FwYMH8fXXXyMsLAyhoaF45513oFKp8M033wAAFi9ejLi4OMTFxaFp06aYP38+Hn/8cZ3+xMXFITk5Wfv9d999h+LiYgwYMMBUu4bMSDsCJWVaJyLmJlPjqSpDaYdPWUARmZLCxQmn3oyy2HvX1sGDB6HRaDBkyBCUlJRol4eFhem0O3r0KPbt26e9ZAK496C/4uJiFBUV4ejRoygsLISXl5fOdnfv3sX58+cBAJmZmRg9erTO+vDwcPz888/a72NjYzFjxgzs378fnTt3xsqVKzFgwIBHnpkk28JpzInMg7mJuQlgAVUDHIEiMgeJRKL3pQqWFBISAolEgqysLJ3llZcoKBQKneUPJ4XCwkLMnTsXL7zwQpXXdnV1RWFhIfz8/LBz584q61Uqld799PHxQXR0NJKTkxEUFITvv/++2tck2yS5X0BxGnMi02JuYm4CWEAZjiNQRPQALy8v9OrVC0uWLMGECRMMPmv2xBNPICsrCyEhIY9cn5OTA2dnZzRu3LjaNs2bN8eBAwcwbNgw7bL9+/dXaTdy5Ei89NJLaNCgAZo0aYKIiAiD+krWq3IESiJhAUVEzE2mxrF+g3EEioh0LV26FOXl5QgLC8OXX36JzMxMZGVlYc2aNTh9+jScnB79R+2sWbOwatUqzJ07FydPnkRmZiZSUlIwY8YMAEBkZCTCw8PRr18/bNu2DRcvXsR///tfTJ8+HYcPHwYAxMfH47PPPkNycjLOnDmD2bNn4+TJk1XeKyoqCu7u7pg/fz6GDx9ump1BFqF9DhTvgSKi+5ibTIdHWkNxBIqIHtKkSROkp6cjMjIS06ZNQ5s2bRAWFoYPP/wQkyZNwrx58x65bVRUFDZv3oxt27ahQ4cO6Ny5M/7973+jUaNGAO5dLrJ161Y8+eSTGD58OB577DEMGjQIly5dglqtBgAMHDgQM2fOxOuvv4727dvj0qVLGDNmTJX3kkqliI2NRUVFhc4ZQbJ9ksqTe5yFj4juY24yHYkwdFJ5G5efnw8PDw/k5eXB3d3d8Bf4ahhw6lvguXeAjqOM30EiB1VcXIzs7GwEBQXB1dXV0t2xW3Fxcbhx4wY2bdpksvf4s8+y1sdgO1Xb/XJl7mMIENeR9ff/Q9OwSBP0kMgxMTeZh6lzk7HzEk9VGcqx6k0ishN5eXk4fvw41q1bZ9LiiSyjcgSKz4EiIltiq7mJR1qD8R4oIrI9ffv2xcGDBzF69Gj06tXL0t0hI9PeA8VpzInIhthqbmIBZSjeA0VENsgWpoWlmpNyGnMiskG2mpt4qqqmOAJFRERWQvsgXc7CR0RkcjzSGoojUEREZGUqCygpR6CIiEyOBZTBeA8UERFZFyknkSAiMhsWUIbiCBQREVkZ7T1QnESCiMjkeKQ1GEegiIjIukgqCygnXsJHRGRqLKAMxREoIiKyMk4cgSIiMhseaQ3GESgiIrIu2udA8R4oIiKTYwFlKI5AEZEd69GjByZOnGjpbpCB/phEgrmJiOyPteUmFlAG4wgUEdVeTk4O4uPjERISAldXV6jVakRERGDZsmUoKiqydPfIxvzxIF2OQBFRzTE36YdHWkNxBIqIaunChQuIiIiASqXCwoUL0apVK8jlchw/fhwrVqxAQEAA+vTpU+22paWlkMlkZu4xWbs/RqA4iQQR1Qxzk/44AmUwjkARUVX/+c9/0Lp1aygUCnh4eOCpp556ZNuxY8fC2dkZhw8fxoABA9C8eXMEBwejb9++2LJlC6Kjo7Vte/TogfHjx2PixInw9vZGVFQUNBoNEhMTERQUBIVCgTZt2uCbb77ReQ992ty5cwfDhg2DUqmEn58f3n33Xe26VatWwcvLCyUlJTrb9OvXD0OHDq3NriJjEwJSyb3cJJUyrRPRH5ibTIMjUIbiCBSReQgBlFnocgEXN4NOkqxfvx6vv/46li9fjk6dOqGgoAAXL16stu3Nmzexbds2LFy4EHXq1Km2jeSh9/78888xZswY7Nu3DwCQmJiINWvW4OOPP0ZoaCh2796Nl19+GfXr10f37t31bjN58mTs2rUL3377LXx8fPDGG2/gl19+Qdu2bdG/f3+8+uqr2LRpE/r37w8AyM3NxZYtW7Bt2za99w2Zwf0JJABA4sS0TmRSzE1ajpybeKQ1GEegiMyirAhY6G+Z937jKiCrPoFUJysrC40aNUKvXr2gUqkAAC1atKi27blz5yCEQNOmTXWWe3t7o7i4GAAwbtw4vPXWW9p1oaGhWLRoEQCgpKQECxcuxI4dOxAeHg4ACA4Oxt69e7F8+XJ0795drzaFhYX49NNPsWbNGvTs2RPAvWTYoEEDAIBCocDgwYORnJysTVJr1qxBYGAgevToofe+ITPQVGj/K+U05kSmxdykXefIuYlHWkNxBIqIHjJq1CgIIeDp6QmlUons7GwAwNq1a6FUKrVfe/bseeRrHDx4EBkZGWjRokWVSxPat2+v/f+5c+dQVFSEXr166bz2qlWrcP78eb3bnD9/HqWlpejUqZP2tT09PXWS56hRo7Bt2zZcuXIFALBy5UrExsZWOQtJFiY0uCPkKBYuHIEiIi3mJtPhkdZgHIEiMgsXt3tn2yz13noqKyvDoEGD0KVLF3z66afw8PBA48aNAQB9+vTRSQIBAQEoKiqCRCJBVlaWzusEBwcDuHd27WEPXk5RWFgIANiyZQsCAgJ02snlcr3b6KNdu3Zo06YNVq1ahaeffhonT57Eli1b9N6ezEM4y9GiJBkAcFiutHBviOwcc5OWI+cmFlCG0o5AEZFJSSQGXapgKRs2bMC5c+ewY8eOKuvq1q2LunXr6ixTKBTo1asXlixZggkTJjzyWvNHefzxxyGXy3H58mXt9eI1adOkSRO4uLjgwIEDCAwMBAD8/vvvOHPmjM42I0eOxOLFi3HlyhVERkaiYcOGBvWXTO/BtCTlyT0i02Juqpaj5SYWUDXFJEVEuDd167Vr17B69Wp069YNhYWF2LdvH+Li4uDsXP0hdunSpYiIiEBYWBjmzJmD1q1bQyqV4tChQzh9+rTOZREPq1u3LiZNmoTXXnsNGo0GXbt2RV5eHvbt2wd3d3fExMTo1UapVCIuLg6TJ0+Gl5cXfHx8MH369CqzuA0ePBiTJk3CJ598glWrVhl135FxPHhaj8/RJSKAucnkhBVYsmSJaNSokZDL5aJjx47iwIEDf9r+q6++Ek2bNhVyuVy0bNlSbNmyRe/3ysvLEwBEXl5ezTr72XNCzHYX4vj/1Wx7IqrW3bt3xalTp8Tdu3ct3RWDlJWViYSEBNGgQQPh4uIi1Gq1GDx48F9ud/XqVTF+/HgRFBQkXFxchFKpFB07dhRvv/22uHPnjrZd9+7dRXx8vM62Go1GLF68WDRt2lS4uLiI+vXri6ioKLFr1y6D2hQUFIiXX35ZuLm5CbVaLRYtWlTt+w0dOlR4enqK4uJivfbJn32WtT4Gm4kheWnFihWia9euQqVSCZVKJXr27PmXeexhtdkvpeUVotGUzaLRlM3idlGpwdsT0aMxN9lHbjJ2XrJ4AZWSkiJkMpn47LPPxMmTJ8WoUaOESqUS169fr7b9vn37hJOTk1i0aJE4deqUmDFjhnBxcRHHjx/X6/1qX0A9e6+AOrG+ZtsTUbVsNUk5gqeeekpMmDBB7/a2XkAZmpcGDx4sPvroI5Geni4yMzNFbGys8PDwEL/99pve71mb/VJcVq4toPLvsoAiMibmJutlSG4ydl6SCGHZm3o6deqEDh06YMmSJQDuPWCrYcOGmDBhAqZOnVql/cCBA3Hnzh1s3rxZu6xz585o27YtPv744798v/z8fHh4eCAvLw/u7u6Gd/hqOnD3NqBuASh9DN+eiKpVXFyM7OxsBAUFwdXV1dLdIdy77nznzp148cUXcerUqSrT2z7Kn32WtT4Gm4GheelhFRUVqFevHpYsWYJhw4bp9Z612S8VGoH9F25CCKBzsCecnTjBLpGxMDdZn5rkJmPnJYveA1VaWoojR45g2rRp2mVSqRSRkZFIS0urdpu0tDQkJCToLIuKisLGjRurbV9SUqIz7WJ+fn7tOu3frnbbExHZiHbt2uH333/HW2+9pXfxZOtqkpceVlRUhLKyMnh6ej6yjTFzk5NUgogQ7xpvT0RkS6whN1m0gPrf//6HiooKqNVqneVqtRqnT5+udpucnJxq2+fk5FTbPjExEXPnzjVOh4mIHMijnlhvz2qSlx42ZcoU+Pv7IzIy8pFtmJuIiGrGGnKT3Y/zT5s2DXl5edqvX3/91dJdIiIiO5WUlISUlBRs2LDhTy/3YW4iIrJdFh2B8vb2hpOTE65fv66z/Pr16/D19a12G19fX4Pay+Vygx7ORUREjqsmeanSO++8g6SkJOzYsQOtW7f+07bMTUREtsuiI1AymQzt27dHamqqdplGo0FqairCw8Or3SY8PFynPQBs3779ke2JiIj0VZO8BACLFi3CvHnz8MMPPyAsLMwcXSUiIgux+IN0ExISEBMTg7CwMHTs2BGLFy/GnTt3MHz4cADAsGHDEBAQgMTERABAfHw8unfvjnfffRe9e/dGSkoKDh8+jBUrVlgyDCIishOG5qW33noLs2bNwrp169C4cWPtPblKpRJKpdJicRARkWlYvIAaOHAgbty4gVmzZiEnJwdt27bFDz/8oL2B9/LlyzpPH+7SpQvWrVuHGTNm4I033kBoaCg2btyIli1bWioEIjIiCz9ZgYzA1j9DQ/PSsmXLUFpaihdffFHndWbPno05c+aYs+tEZCK2flxzdMb+/Cz+HChzs4VnkBA5ooqKCpw5cwY+Pj7w8vKydHeoFm7evInc3Fw89thjcHJy0lnHY3D1uF+IrFNZWRnOnTsHf39/eHh4WLo7VEN5eXm4evUqQkJC4OLiorPO5p4DRURUycnJCSqVCrm5uQAANzc3SCQSC/eKDCGEQFFREXJzc6FSqaoUT0REtsbZ2Rlubm64ceMGXFxcdEafyTZoNBrcuHEDbm5ucHY2TunDAoqIrEblLGeVRRTZJpVK9Zcz1hER2QKJRAI/Pz9kZ2fj0qVLlu4O1ZBUKkVgYKDRTsyygCIiq1GZqHx8fFBWVmbp7lANuLi4cOSJiOyKTCZDaGgoSktLLd0VqiGZTGbU0UMWUERkdZycnPhHOBERWQ2pVPqnD8cmx8ILOYmIiIiIiPTEAoqIiIiIiEhPLKCIiIiIiIj05HD3QFU+9io/P9/CPSEicjyVx14HewThX2JuIiKyjJrkJYcroAoKCgAADRs2tHBPiIgcV0FBAR9K+QDmJiIiyzIkL0mEg50G1Gg0uHr1KurWrVujueDz8/PRsGFD/Prrrw75tHhHjx/gPmD8jL828QshUFBQAH9/fz6Q8gHMTbXD+Bk/43fc+IHa7YOa5CWHG4GSSqVo0KBBrV/H3d3dYX9IAcYPcB8wfsZf0/g58lQVc5NxMH7Gz/gdN36g5vvA0LzE039ERERERER6YgFFRERERESkJxZQBpLL5Zg9ezbkcrmlu2IRjh4/wH3A+Bm/I8dvrRz9c2H8jJ/xO278gPn3gcNNIkFERERERFRTHIEiIiIiIiLSEwsoIiIiIiIiPbGAIiIiIiIi0hMLKCIiIiIiIj2xgDLQRx99hMaNG8PV1RWdOnXCwYMHLd2lWktMTESHDh1Qt25d+Pj4oF+/fsjKytJpU1xcjHHjxsHLywtKpRL/+Mc/cP36dZ02ly9fRu/eveHm5gYfHx9MnjwZ5eXl5gzFKJKSkiCRSDBx4kTtMnuP/8qVK3j55Zfh5eUFhUKBVq1a4fDhw9r1QgjMmjULfn5+UCgUiIyMxNmzZ3Ve49atWxgyZAjc3d2hUqkQFxeHwsJCc4dSIxUVFZg5cyaCgoKgUCjQpEkTzJs3Dw/OsWNP+2D37t2Ijo6Gv78/JBIJNm7cqLPeWLEeO3YM3bp1g6urKxo2bIhFixaZOjSHxdxkn8fmBzE3OVZucrS8BNhYbhKkt5SUFCGTycRnn30mTp48KUaNGiVUKpW4fv26pbtWK1FRUSI5OVmcOHFCZGRkiOeee04EBgaKwsJCbZvRo0eLhg0bitTUVHH48GHRuXNn0aVLF+368vJy0bJlSxEZGSnS09PF1q1bhbe3t5g2bZolQqqxgwcPisaNG4vWrVuL+Ph47XJ7jv/WrVuiUaNGIjY2Vhw4cEBcuHBB/Pjjj+LcuXPaNklJScLDw0Ns3LhRHD16VPTp00cEBQWJu3fvats888wzok2bNmL//v1iz549IiQkRLz00kuWCMlgCxYsEF5eXmLz5s0iOztbfP3110KpVIr3339f28ae9sHWrVvF9OnTxfr16wUAsWHDBp31xog1Ly9PqNVqMWTIEHHixAnxxRdfCIVCIZYvX26uMB0Gc5N9HpsfxNzkeLnJ0fKSELaVm1hAGaBjx45i3Lhx2u8rKiqEv7+/SExMtGCvjC83N1cAELt27RJCCHH79m3h4uIivv76a22bzMxMAUCkpaUJIe790EulUpGTk6Nts2zZMuHu7i5KSkrMG0ANFRQUiNDQULF9+3bRvXt3bZKy9/inTJkiunbt+sj1Go1G+Pr6irffflu77Pbt20Iul4svvvhCCCHEqVOnBABx6NAhbZvvv/9eSCQSceXKFdN13kh69+4tRowYobPshRdeEEOGDBFC2Pc+eDhJGSvWpUuXinr16un8/E+ZMkU0bdrUxBE5HuYm+zw2V2Juqp49H5eFcOy8JIT15yZewqen0tJSHDlyBJGRkdplUqkUkZGRSEtLs2DPjC8vLw8A4OnpCQA4cuQIysrKdGJv1qwZAgMDtbGnpaWhVatWUKvV2jZRUVHIz8/HyZMnzdj7mhs3bhx69+6tEydg//Fv2rQJYWFh6N+/P3x8fNCuXTt88skn2vXZ2dnIycnRid/DwwOdOnXSiV+lUiEsLEzbJjIyElKpFAcOHDBfMDXUpUsXpKam4syZMwCAo0ePYu/evXj22WcBOMY+qGSsWNPS0vDkk09CJpNp20RFRSErKwu///67maKxf8xN9ntsrsTc5Ji5iXlJl7XlJufaBuQo/ve//6GiokLnIAQAarUap0+ftlCvjE+j0WDixImIiIhAy5YtAQA5OTmQyWRQqVQ6bdVqNXJycrRtqts3leusXUpKCn755RccOnSoyjp7j//ChQtYtmwZEhIS8MYbb+DQoUN49dVXIZPJEBMTo+1/dfE9GL+Pj4/OemdnZ3h6elp9/AAwdepU5Ofno1mzZnByckJFRQUWLFiAIUOGAIBD7INKxoo1JycHQUFBVV6jcl29evVM0n9Hw9xkv8dmgLnJkXMT85Iua8tNLKBIx7hx43DixAns3bvX0l0xm19//RXx8fHYvn07XF1dLd0ds9NoNAgLC8PChQsBAO3atcOJEyfw8ccfIyYmxsK9M4+vvvoKa9euxbp169CiRQtkZGRg4sSJ8Pf3d5h9QGTNmJuYmxwtNzEvWTdewqcnb29vODk5VZnd5vr16/D19bVQr4xr/Pjx2Lx5M37++Wc0aNBAu9zX1xelpaW4ffu2TvsHY/f19a1231Sus2ZHjhxBbm4unnjiCTg7O8PZ2Rm7du3CBx98AGdnZ6jVaruO38/PD48//rjOsubNm+Py5csA/uj/n/3s+/r6Ijc3V2d9eXk5bt26ZfXxA8DkyZMxdepUDBo0CK1atcLQoUPx2muvITExEYBj7INKxorVln8nbAlzk/0em5mbHDs3MS/psrbcxAJKTzKZDO3bt0dqaqp2mUajQWpqKsLDwy3Ys9oTQmD8+PHYsGEDfvrppypDm+3bt4eLi4tO7FlZWbh8+bI29vDwcBw/flznB3f79u1wd3evcgC0Nj179sTx48eRkZGh/QoLC8OQIUO0/7fn+CMiIqpMDXzmzBk0atQIABAUFARfX1+d+PPz83HgwAGd+G/fvo0jR45o2/z000/QaDTo1KmTGaKonaKiIkiluodDJycnaDQaAI6xDyoZK9bw8HDs3r0bZWVl2jbbt29H06ZNefmeETE32e+xmbnJsXMT85Iuq8tNhs+L4bhSUlKEXC4XK1euFKdOnRKvvPKKUKlUOrPb2KIxY8YIDw8PsXPnTnHt2jXtV1FRkbbN6NGjRWBgoPjpp5/E4cOHRXh4uAgPD9eur5wq9emnnxYZGRnihx9+EPXr17eJqVKr8+BMR0LYd/wHDx4Uzs7OYsGCBeLs2bNi7dq1ws3NTaxZs0bbJikpSahUKvHtt9+KY8eOib59+1Y7dWi7du3EgQMHxN69e0VoaKjVTpX6sJiYGBEQEKCdLnb9+vXC29tbvP7669o29rQPCgoKRHp6ukhPTxcAxHvvvSfS09PFpUuXhBDGifX27dtCrVaLoUOHihMnToiUlBTh5ubGacxNgLnJPo/N1WFucpzc5Gh5SQjbyk0soAz04YcfisDAQCGTyUTHjh3F/v37Ld2lWgNQ7VdycrK2zd27d8XYsWNFvXr1hJubm3j++efFtWvXdF7n4sWL4tlnnxUKhUJ4e3uLf/3rX6KsrMzM0RjHw0nK3uP/7rvvRMuWLYVcLhfNmjUTK1as0Fmv0WjEzJkzhVqtFnK5XPTs2VNkZWXptLl586Z46aWXhFKpFO7u7mL48OGioKDAnGHUWH5+voiPjxeBgYHC1dVVBAcHi+nTp+tMc2pP++Dnn3+u9nc+JiZGCGG8WI8ePSq6du0q5HK5CAgIEElJSeYK0eEwN9nnsflhzE2Ok5scLS8JYVu5SSLEA480JiIiIiIiokfiPVBERERERER6YgFFRERERESkJxZQREREREREemIBRUREREREpCcWUERERERERHpiAUVERERERKQnFlBERERERER6YgFFZEVWrlwJlUpl6W4QEREBYF4iqg4LKCIzi42NhUQigUQigUwmQ0hICN58802Ul5dbumtEROSAmJeIDONs6Q4QOaJnnnkGycnJKCkpwdatWzFu3Di4uLjAz8/P0l0jIiIHxLxEpD+OQBFZgFwuh6+vLxo1aoQxY8YgMjISmzZtqtLu/Pnz6Nu3L9RqNZRKJTp06IAdO3Zo17/55pto2bJlle3atm2LmTNnAgB27tyJjh07ok6dOlCpVIiIiMClS5dMFxwREdkc5iUi/bGAIrICCoUCpaWlVZYXFhbiueeeQ2pqKtLT0/HMM88gOjoaly9fBgCMGDECmZmZOHTokHab9PR0HDt2DMOHD0d5eTn69euH7t2749ixY0hLS8Mrr7wCiURittiIiMj2MC8RPRov4SOyICEEUlNT8eOPP2LChAlV1rdp0wZt2rTRfj9v3jxs2LABmzZtwvjx49GgQQNERUUhOTkZHTp0AAAkJyeje/fuCA4Oxq1bt5CXl4e///3vaNKkCQCgefPm5gmOiIhsDvMS0V/jCBSRBWzevBlKpRKurq549tlnMXDgQMyZM6dKu8LCQkyaNAnNmzeHSqWCUqlEZmam9kwfAIwaNQpffPEFiouLUVpainXr1mHEiBEAAE9PT8TGxiIqKgrR0dF4//33ce3aNXOFSURENoJ5iUh/LKCILOBvf/sbMjIycPbsWdy9exeff/456tSpU6XdpEmTsGHDBixcuBB79uxBRkYGWrVqpXNZRXR0NORyOTZs2IDvvvsOZWVlePHFF7Xrk5OTkZaWhi5duuDLL7/EY489hv3795slTiIisg3MS0T64yV8RBZQp04dhISE/GW7ffv2ITY2Fs8//zyAe2f+Ll68qNPG2dkZMTExSE5Ohkwmw6BBg6BQKHTatGvXDu3atcO0adMQHh6OdevWoXPnzkaLh4iIbBvzEpH+WEARWbHQ0FCsX78e0dHRkEgkmDlzJjQaTZV2I0eO1F5Dvm/fPu3y7OxsrFixAn369IG/vz+ysrJw9uxZDBs2zGwxEBGR/WBeImIBRWTV3nvvPYwYMQJdunSBt7c3pkyZgvz8/CrtQkND0aVLF9y6dQudOnXSLndzc8Pp06fx+eef4+bNm/Dz88O4cePwz3/+05xhEBGRnWBeIgIkQghh6U4QUe0IIRAaGoqxY8ciISHB0t0hIiIHx7xE9owjUEQ27saNG0hJSUFOTg6GDx9u6e4QEZGDY14ie8cCisjG+fj4wNvbGytWrEC9evUs3R0iInJwzEtk73gJHxERERERkZ74HCgiIiIiIiI9sYAiIiIiIiLSEwsoIiIiIiIiPbGAIiIiIiIi0hMLKCIiIiIiIj2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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "# Epsilon for exploration\n", "epsilon = 0.1\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", " \n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Compare the properties of greedy and $\\epsilon$-greedy (speed, optimality, etc). Vary the value of the parameter $\\epsilon$ (0.0001 until 0.5) and conclude." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Depending on the value of $\\epsilon$, $\\epsilon$-greedy can perform better that greedy in the end, but will necessitate more time at the beginning. If there is too much exploration, $\\epsilon$-greedy can be even worse than greedy. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Softmax action selection\n", "\n", "To avoid exploring actions which are clearly not optimal, another useful algorithm is **softmax action selection**. In this scheme, the estimated Q-values are ransformed into a probability distribution using the softmax opertion:\n", "\n", "$$\n", " \\pi(a) = \\frac{\\exp \\frac{Q_t(a)}{\\tau}}{ \\sum_b \\exp \\frac{Q_t(b)}{\\tau}}\n", "$$ \n", "\n", "For each action, the term $\\exp \\frac{Q_t(a)}{\\tau}$ is proportional to $Q_t(a)$ but made positive. These terms are then normalized by the denominator in order to obtain a sum of 1, i.e. they are the parameters of a discrete probability distribution. The temperature $\\tau$ controls the level of exploration just as $\\epsilon$ for $\\epsilon$-greedy.\n", "\n", "In practice, $\\exp \\frac{Q_t(a)}{\\tau}$ can be very huge if the Q-values are high or the temperature is small, creating numerical instability (NaN). It is much more stable to substract the maximal Q-value from all Q-values before applying the softmax:\n", "\n", "$$\n", " \\pi(a) = \\frac{\\exp \\displaystyle\\frac{Q_t(a) - \\max_a Q_t(a)}{\\tau}}{ \\sum_b \\exp \\displaystyle\\frac{Q_t(b) - \\max_b Q_t(b)}{\\tau}}\n", "$$ \n", "\n", "This way, $Q_t(a) - \\max_a Q_t(a)$ is always negative, so its exponential is between 0 and 1.\n", "\n", "**Q:** Implement the softmax action selection (with $\\tau=0.5$ at first) and compare its performance to greedy and $\\epsilon$-greedy. Vary the temperature $\\tau$ and find the best possible value. Conclude.\n", "\n", "*Hint:* To select actions with different probabilities, check the doc of `rng.choice()`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "class SoftmaxAgent(GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, tau):\n", " self.tau = tau\n", " \n", " # List of actions\n", " self.actions = np.arange(bandit.nb_actions)\n", " \n", " # Call the constructor of GreedyAgent\n", " super().__init__(bandit, alpha)\n", " \n", " def act(self):\n", " \n", " logit = np.exp((self.Q_t - self.Q_t.max())/self.tau)\n", " \n", " proba_softmax = logit / np.sum(logit)\n", " \n", " action = rng.choice(self.actions, p=proba_softmax) \n", " \n", " return action" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "# Tau for exploration\n", "tau = 0.1\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = SoftmaxAgent(bandit, alpha, tau)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", " \n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Softmax loses less time than $\\epsilon$-greedy exploring the really bad solutions, so it is optimal earlier. It can be more efficient and optimal than the other methods, but finding the right value for $\\tau$ (0.1 works well) is difficult: its optimum value depends on the scaling of Q, you cannot know it in advance..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploration scheduling\n", "\n", "The problem with this version of softmax (with a constant temperature) is that even after it has found the optimal action, it will still explore the other ones (although more rarely than at the beginning). The solution is to **schedule** the exploration parameter so that it explores a lot at the beginning (high temperature) and gradually switches to more exploitation (low temperature).\n", "\n", "Many schemes are possible for that, the simplest one (**exponential decay**) being to multiply the value of $\\tau$ by a number very close to 1 after **each** play:\n", "\n", "$$\\tau = \\tau \\times (1 - \\tau_\\text{decay})$$\n", "\n", "**Q:** Implement in a class `SoftmaxScheduledAgent` temperature scheduling for the softmax algorithm ($\\epsilon$-greedy would be similar) with $\\tau=1$ initially and $\\tau_\\text{decay} = 0.01$ (feel free to change these values). Plot the evolution of `tau` and of the standard deviation of the choices of the optimal action. Conclude." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "class SoftmaxScheduledAgent(SoftmaxAgent):\n", " \n", " def __init__(self, bandit, alpha, tau, tau_decay):\n", " self.tau_decay = tau_decay\n", " \n", " self.tau_history = []\n", " \n", " # List of actions\n", " self.actions = np.arange(bandit.nb_actions)\n", " \n", " # Call the constructor of GreedyAgent\n", " super().__init__(bandit, alpha, tau)\n", " \n", " \n", " def act(self):\n", " \n", " # Action selection\n", " logit = np.exp((self.Q_t - self.Q_t.max())/self.tau)\n", " proba_softmax = logit / np.sum(logit) \n", " action = rng.choice(self.actions, p=proba_softmax) \n", " \n", " # Decay tau\n", " self.tau = self.tau * (1 - self.tau_decay)\n", " self.tau_history.append(self.tau)\n", " \n", " return action" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Tau for exploration\n", "tau = 1.0\n", "tau_decay = 0.01\n", "\n", "rewards_softmaxscheduled = []\n", "optimal_softmaxscheduled = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = SoftmaxScheduledAgent(bandit, alpha, tau, tau_decay)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_softmaxscheduled.append(rewards)\n", " optimal_softmaxscheduled.append(optimal)\n", " \n", " \n", "rewards_softmaxscheduled = np.mean(rewards_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled_std = np.std(optimal_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled = np.mean(optimal_softmaxscheduled, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(10, 10))\n", "plt.subplot(221)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.plot(rewards_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(222)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.plot(optimal_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.subplot(223)\n", "plt.plot(agent.tau_history)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"$\\tau$\")\n", "plt.subplot(224)\n", "plt.plot(optimal_softmaxscheduled_std)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Variance\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Scheduling drastically improves how often the optimal action is selected. In terms of mean reward, the difference is not that big, as there is often a \"second best\" action whose expected reward is close. We can see that the variance of the optimal action selection follows the parameter $\\tau$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Experiment with different schedules (initial values, decay rate) and try to find the best setting." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Tau for exploration\n", "tau = 10.0\n", "tau_decay = 0.05\n", "\n", "rewards_softmaxscheduled = []\n", "optimal_softmaxscheduled = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = SoftmaxScheduledAgent(bandit, alpha, tau, tau_decay)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_softmaxscheduled.append(rewards)\n", " optimal_softmaxscheduled.append(optimal)\n", " \n", " \n", "rewards_softmaxscheduled = np.mean(rewards_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled_std = np.std(optimal_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled = np.mean(optimal_softmaxscheduled, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(10, 10))\n", "plt.subplot(221)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.plot(rewards_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(222)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=r\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.plot(optimal_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.subplot(223)\n", "plt.plot(agent.tau_history)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"$\\tau$\")\n", "plt.subplot(224)\n", "plt.plot(optimal_softmaxscheduled_std)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Variance\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** No unique answer here, but a very high exploration parameter initially which decreases quite fast leads to very performant solutions. Take-home message: scheduling is very important, but it is quite difficult to find the optimal schedule." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 4 }