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\n", "\n", " \n", " \n", " \n", " \n", "

\n", "

Deep Reinforcement Learning

\n", "

Assignment 06 - Multi-Armed and Contextual Bandits

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Computer Engineering Department

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Sharif University of Technology

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Spring 2025

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Full name: [FULL_NAME]

\n", "

Student ID: [STUDENT_ID]

\n", "\n", " \n", "
\n", "\n", "
\n" ], "metadata": { "id": "OUuPH4iMv1h6" } }, { "cell_type": "markdown", "source": [ "## Setup & Overview \n", "In this notebook, we simulate bandit problems using *MAB* (Multi-Armed Bandit) and *CtxBnd* (Contextual Bandit) frameworks. \n", "We compare several agents:\n", "- **Oracle** (with privileged info)\n", "- **RndAg** (Random Agent)\n", "- **ExpFstAg** (Explore-First Agent)\n", "- **UCB_Ag** (UCB Agent)\n", "- **EpsGdAg** (Epsilon-Greedy Agent)\n", "- **LinUCB_Ag** (LinUCB for contextual bandits)\n", "\n", "\n", "Follow the instructions carefully and complete the sections marked with **TODO**." ], "metadata": { "id": "3wBEeVFIzhYZ" } }, { "cell_type": "markdown", "source": [ "## Setup and Environment\n", "\n", "In the upcoming cells, we import necessary libraries, set up utility functions for reproducibility and plotting, and define the basic components of our bandit experiments.\n" ], "metadata": { "id": "VwfSXp0-zx-Z" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "import numpy as np\n", "import random\n", "import time\n", "import os\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "\n", "from dataclasses import dataclass\n", "from copy import deepcopy\n", "from tqdm.notebook import tqdm\n", "\n", "plt.rcParams['figure.dpi'] = 100" ], "metadata": { "id": "h3sgQXsgBi9C" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "def plot_logs(df, x_key, y_key, legend_key, **kwargs):\n", " num = len(df[legend_key].unique())\n", " pal = sns.color_palette(\"hls\", num)\n", " if 'palette' not in kwargs:\n", " kwargs['palette'] = pal\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n", " return ax\n", "\n", "def set_seed(s):\n", " np.random.seed(s)\n", " random.seed(s)\n", "\n", "set_seed(0)" ], "metadata": { "id": "FLnDp8jVBuS9" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## MAB Overview \n", "We consider a bandit with 10 arms. Two formulations: \n", "- **Stochastic:** Each arm gives a reward of 1 with probability *p*. \n", "- **Deterministic:** Each arm always returns a fixed reward. \n", " \n", "We'll work with the stochastic case. The reward probabilities will be set randomly." ], "metadata": { "id": "PwRGl9X_Bv3X" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "nArms = 10\n", "p_arr = [np.random.random() for _ in range(nArms)]\n", "print(\"Probabilities:\", p_arr)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "181jbJwpBy3o", "outputId": "deb487fa-8a27-48f6-8b13-daae34c6841b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Probabilities: [0.5488135039273248, 0.7151893663724195, 0.6027633760716439, 0.5448831829968969, 0.4236547993389047, 0.6458941130666561, 0.4375872112626925, 0.8917730007820798, 0.9636627605010293, 0.3834415188257777]\n" ] } ] }, { "cell_type": "markdown", "source": [ "**Q:** How might the performance of different agents change if the distribution of probabilities were not uniform? \n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n" ], "metadata": { "id": "OoWfumZ8WAMe" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class MAB_Env:\n", " p_arr: np.ndarray\n", "\n", " def step(self, act):\n", " return 1 if np.random.random() < self.p_arr[act] else 0" ], "metadata": { "id": "e9mtK1rHB0ta" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Q:** Why does the MAB environment use a simple binary reward mechanism (1 or 0)?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "VunoR3vLWbJu" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class MAB_Eng:\n", " p_arr: np.ndarray\n", " max_steps: int\n", " agent: any\n", "\n", " def __post_init__(self):\n", " self.env = MAB_Env(p_arr=self.p_arr)\n", "\n", " def run(self, n_runs=1):\n", " logs = []\n", " for _ in tqdm(range(n_runs), desc='Runs'):\n", " run_rewards = []\n", " run_acts = []\n", " self.agent.reset()\n", " for t in range(self.max_steps):\n", " act = self.agent.get_action()\n", " rew = self.env.step(act)\n", " self.agent.update_Q(act, rew)\n", " run_acts.append(act)\n", " run_rewards.append(rew)\n", " logs.append(pd.DataFrame({\n", " 'reward': run_rewards,\n", " 'action': run_acts,\n", " 'step': np.arange(len(run_rewards))\n", " }))\n", " return pd.concat(logs, ignore_index=True)" ], "metadata": { "id": "bjDEAUvcB2Mq" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "def mab_swp(agents, p_arr, labels, n_runs=2000, max_steps=500):\n", " all_logs = []\n", " for idx, agent in enumerate(tqdm(agents, desc=\"Alg Sweeps\")):\n", " engine = MAB_Eng(p_arr=p_arr, max_steps=max_steps, agent=agent)\n", " log_df = engine.run(n_runs)\n", " log_df['Alg'] = labels[idx]\n", " all_logs.append(log_df)\n", " return pd.concat(all_logs, ignore_index=True)" ], "metadata": { "id": "PVKqd1yzB352" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Oracle Agent \n", "The **Oracle** has full knowledge of *p_arr*. \n", "**Question:** What is the maximum expected per-step reward?" ], "metadata": { "id": "HANvMfOBB5sf" } }, { "cell_type": "code", "source": [ "# TODO: Compute oracleReward using privileged info (simple placeholder)\n", "oracleReward = None # Placeholder\n", "print(f'Max possible reward (Simple): {oracleReward}')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "QN5fN9AQB6nP", "outputId": "e04250af-3cba-43c3-cc0b-7a2c6dac2e3b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Max possible reward (Solution): 0.9636627605010293\n" ] } ] }, { "cell_type": "markdown", "source": [ "**Q:** What insight does the oracle reward give us about the best possible performance?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "-------------------\n", "\n", "**Q:** Why is the oracle considered “cheating” in a practical sense? \n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "Ph0AzPBBWn3W" } }, { "cell_type": "markdown", "source": [ "## RndAg (Random Agent) \n", "This agent selects an action at random at every timestep. It does no learning.\n" ], "metadata": { "id": "B3O0-XHFCBBn" } }, { "cell_type": "code", "source": [ "@dataclass\n", "class RndAg:\n", " n_act: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.t = 0\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " pass # No learning\n", "\n", " def get_action(self):\n", " self.t += 1\n", " # TODO: get a random action index [Simple]\n", " sel_act = 0 # Placeholder\n", " return sel_act" ], "metadata": { "id": "8ewIp6X9CAEe" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "rnd_agent = RndAg(n_act=len(p_arr))\n", "n_runs = 1000\n", "rnd_log = mab_swp([rnd_agent], p_arr, ['Rnd'], n_runs=n_runs)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 81, "referenced_widgets": [ "aded6084cb0d4bf4abff8cd28627f909", "8345309d6e764aca822915fb07207bff", "65972a9f6a3b4d309e5b576ed74595ec", "67befb2ab92140afba56797ec9555bdc", "cfe73e8b34214a359dd691af25b743a3", "dab4a6cb2010460e9596a253d0246db3", "2d33301fa0cb4a49b461beefc7d59a4f", "1a10188710d44111a99b284ff56e0bd6", "a73fab700dba411381a2a0a8c78f8684", "a1a078c159c54dc3b6b26a9c6156eaa8", "ed8e8fab643d40adb95622a17c8167f9", "cc10a657f2f044b7a8e736cabcbea4a2", "58ace598d34744d88a76fec0a9365e26", "629d1f1a1ffd48d69d3467e8f13d5373", "018be83dfbf34c8e94beab5575f05f29", "f3a986f8d18d4824ba9522ba7e73ea8e", "d98b83eb35bd40e6af6b627a6a1d5f31", "03c8a1e99c5845b1914449a2765f6f69", "1087a08e47eb49269d647d12ed96bf65", "57360a5ea4d6440bbd24ec38a60a5ea0", "bb54231589254a328bdf4a48c8fda651", "1c3a6bf757a246b7bd32783cd7b13642" ] }, "id": "kbxnZuj_CGXX", "outputId": "f30c9cee-8ff7-40e7-85a7-ae102b948e62" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** Why is the reward of the random agent generally lower and highly variable?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "------------\n", "\n", "**Q:** How might you improve a random agent without using any learning mechanism?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "aBRys0IMW70_" } }, { "cell_type": "code", "source": [ "# TODO: Plot RndAg reward curve and average reward of all arms (Simple)\n", "# (Placeholder: just replot RndAg results)\n", "plot_logs(rnd_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 559 }, "id": "-BfzdE6LCQmr", "outputId": "6b08a9fb-724b-4129-812e-f7f2ef6f15bb" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ ":8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Analysis:** \n", "- The x-axis shows the number of steps; y-axis shows average reward. \n", "- Regret is the gap between Oracle and agent performance." ], "metadata": { "id": "cvL_AD_kDAjE" } }, { "cell_type": "markdown", "source": [ "## ExpFstAg (Explore-First Agent) \n", "This agent explores randomly for the first *max_ex* steps, then exploits the best arm thereafter." ], "metadata": { "id": "g97GldajDCtl" } }, { "cell_type": "code", "source": [ "@dataclass\n", "class ExpFstAg:\n", " n_act: int\n", " max_ex: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.t = 0\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " # TODO: update Q value (Simple placeholder)\n", " pass\n", "\n", " def get_action(self):\n", " self.t += 1\n", " # TODO: Choose random action for t <= max_ex, else best arm [Simple]\n", " sel_act = 0 # Placeholder\n", " return sel_act" ], "metadata": { "id": "8rHoKEQ7DExY" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "### Run ExpFstAg with max_ex = 5 \n", "We will test ExpFstAg (with 5 exploration steps) over 1000 runs and 500 steps." ], "metadata": { "id": "CFqpOFfWDGgc" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "max_ex = 5\n", "expfst_agent = ExpFstAg(n_act=len(p_arr), max_ex=max_ex)\n", "expfst_log = mab_swp([expfst_agent], p_arr, [f'ExpFst{max_ex}'], n_runs=1000, max_steps=500)\n", "plot_logs(expfst_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(f\"ExpFstAg (max_ex={max_ex}) Reward Curve\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 623, "referenced_widgets": [ "f384bfe9eea644f79447e85bc5bdb81e", "8a901c1e06234760a8c187ca0f83c074", "cab58412e1f54f0cab11faa5bd355589", "5d6b32e5072b4a03b1b893141775e59a", "2e4c79cd3ea740bbaaf09a89a09e6b62", "bb9bd0414705429788af739ba8f6360f", "e590cc921394465f8f536a8318ec19f0", "b8c88ce2ace3453ca07a019c8785e8aa", "078dd983d5944e51b07c57a5815555a9", "01abd9a142a24ddd86c4cbd34aa428c0", "c6f16a2ed7e64d6ab696096d0c3988c8", "f36cd3152c634ea8b4d0f1f8a8879c31", "2fdad2abdbc44ceda15c476279371af6", "bc017fad67324fc28b9f2e8cae31ade5", "d813df8958ab44faa0c61ae2cb2b5d25", "1f51ebe4e9234b9196b521ddea12ffac", "d99a2b8a049148fd9fad7f3d33e91338", "7c2d161ff7f342ba9259165e88f97f0f", "d24d1c9b03a64e2bbce4a0c5b306c8f2", "5188b1d6ce8c4794b85bd5c0bb7787b9", "3e5605493cf4486faa93f864f820645d", "710cfdd386504913bf1f795366f0b655" ] }, "id": "D5vEtsEdDJa2", "outputId": "bbb1dfcb-6245-4b6d-fd4d-7684bab7c4a2" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Analysis:** \n", "- The ExpFstAg should outperform RndAg by identifying the best arm during exploration. \n", "- However, with too short exploration, it may miss the best arm.\n", "\n", "----------\n", "\n", "**Q:** Why might the early exploration phase (e.g., 5 steps) lead to high fluctuations in the reward curve? \n", "\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "------------\n", "**Q:** What are the trade-offs of using a fixed exploration phase?\n", "\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "qEne5JlMDSrd" } }, { "cell_type": "code", "source": [ "# TODO: Run ExpFstAg for various max_ex values: [5, 10, 50, 100, 200] (Simple placeholder)\n", "for ex in [5, 10, 50, 100, 200]:\n", " # Placeholder loop: no actual plotting here.\n", " print(f\"Running ExpFstAg with max_ex={ex}... (Simple)\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 878, "referenced_widgets": [ "d4c8e45fa2ee409fbb99a9f8572b8c44", "cdf639dfb6cc46478e6544cce7bbd386", "df242c49f7dd458eb86dc4d7298042c0", "6237b545c9bf4f91ab767324eed4e13c", "dc29fe0666ab46eda21cf8ee43ceb582", "afc79cc9661348fe89f626fcd08b60fa", "dae81a838409425c84c664f0e406975f", "88442dd8fa13466f8a3f6ca7689e9bbc", "4580962ae80441ffbc588327e839fea6", "74d5a840b7ee4893ac93f694bcd7c78b", "586c4e9dfda74cf9a058ff14d1ade97c", "c36eeb0adb7a41d69b47be16783d0a15", "9f1e8f69eeb14d5d950e96fc2014fcad", "08e1b10a49e449c0af3fd96b63cae5b6", "1febca9db15b4f189eda061308efdf95", "68de6acfeab44d01bed9d276373c5bf9", "8694451ac6a14e8f80895bae55c42fa9", "92d44127724f48e396e13840bc8dc23c", "ed6a39c912eb4a0591ec4dfb9cd943fc", "df868b836d5c4850992b763c5c28f073", "6add16d0fb064255b6de57e2a651a62f", "b6e19bcc09824deeabbbb7a81a4088c2", "de9cc846c5d64522a5c0cc3d9e128dea", "c19918bffd9c4b6dbfb35194771fcd26", "7afe41edaba44400a62fb7117120d386", "3ddf272d7a7249fd86966fe46219069a", "fb5564d215af4ff2b0979d4e059846aa", "b9efa104b7bb461c8333ee0a1b37da93", "2333cd17e40f4fd3b1ca27675243d3d8", "d9d706cd2e174e458c80db9697f6019e", "b70e49f7c5734bd3a7c6e1309dd6f7aa", "8d5b6b4290a0463f8602367cb256ef21", "1b9f36ed122f4278a3f9c4a46b42b3e5", "a3aad0dbe33c4aa68226e668e605a23e", "be1ce99776ec4402b2648c8c11ca28a3", "f2146c9cb9cc4fb5a3f113fdc5d5f67e", "2ac00248595845c19835831e236c6b7b", "6a1221756dcf4eb5b93c5b2c434dd242", "1088e600a43747a080912a497ac44040", "9584363368bc4e3298fe406f1a5288b4", "a584af5d49b24a0481a050a48ae2f0a3", "2917ea9b57c44993bba00ffc85f6338c", "ae0110a294894b279c5a6dcc6d93e38a", "5d8e6d7fa31f411a868aa2841db1aa83", "5287f0ad23e84b18a94100bc237b077a", "bc50f6b4eeee4d68b0eb0023c080989a", "724576ec097d45c3a25a4938c778aea0", "b942df26b6394369a75003edebb8d87a", "1c7cba44991d43ea9537d1eea7cb2f4e", "c29118df0155433ba9cdf0be2d84def6", "150298ca66564a9581944bb8d26174d6", "955c8af18e9b485aae1ff5871e7ab71e", "072d2e9064714fbfb4dac3b4cd488c12", "479d2e1fd7b8482b8c7ca3540f301c2e", "0d96d3b3e1de44778fbdd53a876f66cf", "50032081213c41f0ab57670f5283fbe7", "5f7243ea0572462c9c20f5b5237189fb", "29fe6c8fbc63478b9da2da3211d3ade3", "c029989afa9b4245b11d5a1014b6f154", "985825ca81914d0a8d5e1faaeb8c6225", "b07656923eb240c0a94eff08a1191908", "33c59ea53cdd417fad6721e195f97650", "e7e6c2cb1b9e4b10af6b0e77fa8a93c2", "0a9eb0ece38a488a8bf23e7d6bc4d6e9", "aaccbf72d0ee473683b3e37d7a9a0839", "a650e0eba30c412cb5d8445de017ce3b", "2b0e6c76dda64f6f8e746a13c8f7c18c", "e697d2ca32c34ef09c41d748d55d78e2", "cb327882a8b04f358595bb684cac38cc", "576147bbb80a4ca19d5c3bd81e35216a", "23bf3400159a43df8d9a46ce6d91659e", "8c99f755116c424d8f0e1dce411e7733", "0f5a6fb9f5ae4b308c51b4028b474fc3", "5e8407bf360746dfad3079759abda5be", "b0ef7292696e48a28a1a1919a4b7fcb5", "4a4a09365f624f4fb8808d3260a9bc30", "686b041f460e412db5e54b051ba4b1d2", "5b61575c428c434db7a06c39461d6c58", "1f348a5248e340c2aed3302473115510", "cf7ca6b3d78d45a7aec3e29829338cf6", "fc9256703ba54db0bc1e088d92690e8c", "6d9b102da64c472fa347c5b904db908e", "4ea4937ce42c401f935749e86a8d116d", "1c670ae2a0e047c3a2ce69f3ee25727a", "b44474b744db45828098ca73b38d9a23", "1413cb5ddf2040c2bc1ed7abd636a0b8", "be0c84b6585640f1bd74113fddfc6997", "d585daef977f456290a2b6c0b6c3a847", "16795909012b4f91ba7924f12a105479", "36c2520c63854cc78a5ed4aa180b6d2e", "7d4785b1809b4541b9128c08b6fd12d7", "2bbb423398224d03baaca65406ed18cc", "23dce5d65ee84a1789b131ad9470c15a", "1a28db0a2cf44be787f955af2efe2cbc", "73f0645daf8b41128083922a18b6dc97", "335bde6d03a14d2a94de395bc7644f32", "aee00dacd7b74334bbaba703f332f21a", "9def9b9ac29346b388e78d5fb1eb8254", "9c0c9f49e8bf476dbd543db81265ec8f", "ffc9e2a4611c44fa967f3f047f311858", "e992d827ffa04b14b1fe9824c43bd778", "e6227d866b7d4bbab0b0c52d3b8c60d1", "5ff92c3ffee84e2dae9fcc9a898390fd", "0471329d1f87437791d982c49ae4072f", "94d3d23bff4b46b7826ed2d4a050ab71", "96fa865eac9e4e32b04bae73fb796ce0", "388cdddcdfab403a9c7289f3c0c9bd35", "cf839f748f4742d880a50d9e45641e45", "e42d0fbb6b2b46a4be00e59e1a80ff2e", "5e3050f5eb894aca91d90db6fd12d78f" ] }, "id": "vIgNvc8pDUkp", "outputId": "1aedbf36-0084-46f9-f721-a4061c9930da" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Observations:** \n", "- Short exploration (e.g., 5 or 10 steps) may not reliably find the best arm. \n", "- Longer exploration (e.g., 50 or 100 steps) improves performance but may delay exploitation." ], "metadata": { "id": "8jFf0XLqDW4D" } }, { "cell_type": "markdown", "source": [ "**Q:** How does increasing `max_ex` affect the convergence of the agent’s performance?\n", "\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "------------------------------\n", "\n", "**Q:** In real-world scenarios, what challenges might arise in selecting the optimal exploration duration?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "X5S0aNeFDYzj" } }, { "cell_type": "markdown", "source": [ "## UCB_Ag (UCB Agent) \n", "UCB dynamically balances exploration and exploitation by adding an exploration bonus to Q-values." ], "metadata": { "id": "ELvAdRH6Dbrb" } }, { "cell_type": "code", "source": [ "@dataclass\n", "class UCB_Ag:\n", " n_act: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.t = 0\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " # TODO: Update Q value (Simple placeholder)\n", " pass\n", "\n", " def get_action(self):\n", " self.t += 1\n", " delta = 1e-5 # to avoid division by zero\n", " # TODO: Compute exploration bonus (Simple placeholder)\n", " bonus = 0\n", " Q_explore = self.Q + bonus\n", " sel_act = np.random.choice(np.flatnonzero(Q_explore == Q_explore.max()))\n", " return sel_act" ], "metadata": { "id": "nYpWrGzXDeUS" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "ucb_agent = UCB_Ag(n_act=len(p_arr))\n", "ucb_log = mab_swp([ucb_agent], p_arr, ['UCB'], n_runs=1000, max_steps=500)\n", "plot_logs(ucb_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(\"UCB_Ag Reward Curve\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 623, "referenced_widgets": [ "7eb2652bc8a946ddab12eee98fcadbc8", "656d7272f85e407999ba9eb1a6d98760", "d879d720ba854d50adf8709bebb420a6", "37bb3dd946214e6786718331ea93c016", "e33bfd6b17c8479281f5a78da2147033", "6db3a0fa66364d1195cdf4342a8c341a", "04aeb715d3a84d66b277847c5fa85737", "36b125db0efd42e0bd63e8b4e473e879", "1b71b7d01b934653934aaab5b68d0951", "51ba69db9d0c4cbfbf7d04415f0ec0b4", "463929bd311645d48c064557736c6d3b", "e5eb1a1c21e04376ae8953669b60e944", "56219535d37a438194c1566ecaf4f2cb", "023ca4374a4d420eb9174c33f75885af", "f6e09c16c84943a19dfeb18bbaef72c6", "3907d78255c4497e9d9db3a150bce6dc", "a3a59d24bcf14807afaa731b9521905c", "ee26da987d4a48318fd32021dfb5c97f", "728cec7924394a96863238715fdd3c7f", "62a16ebab1b446c4aa03172a604fc990", "6cf39094786e4813823c4e9f8b84dd5f", "e654b04bd3654e678679f5d4f5ae0709" ] }, "id": "pwY6YrmZD2k3", "outputId": "d59fd038-7d76-48c5-d661-ff5ea8e1d702" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** Under what conditions might an explore-first strategy outperform UCB, despite UCB’s theoretical optimality?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "-----------------\n", "**Q:** How do the design choices of each algorithm affect their performance in short-term versus long-term scenarios?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "dcbgwsAhk5b3" } }, { "cell_type": "markdown", "source": [ "## UCB vs. ExpFstAg \n", "Now we compare UCB_Ag and ExpFstAg (with max_ex = 5) side by side.\n" ], "metadata": { "id": "zTKnbWbTELXd" } }, { "cell_type": "markdown", "source": [ "**Question:** \n", "Why does UCB learn slowly (even after 500 steps, not reaching maximum reward)? \n", "*Hint:* Consider the conservative nature of the exploration bonus.\n" ], "metadata": { "id": "_PO5eSIkENYM" } }, { "cell_type": "code", "source": [ "# TODO: Run UCB_Ag and ExpFstAg (max_ex=5) for 1000 runs, 1000 steps (Simple placeholder)\n", "print(\"Running comparison (Simple)...\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 687, "referenced_widgets": [ "6e2eb720e79c40bb8bd101bedebabd0a", "6a662b1b91f64296a0dd68d77a76019b", "256076989b1e448982df8bb47d142e29", "1703b392baf346929d1a1d10aabd1a0e", "7104ff084fb4468cbf599c6fa9cab81d", "3f73633e011a4aa3adccec0d49fa3f48", "f62bfc49c8b342718c17f42523a28cc7", "7e2b6834b85d4631b8bb7e93609b0838", "54d9841327b946049686a9ef07b6b435", "0d4dceb328c946ecb6ce2961d0143df0", "6dff862ee9574d769e3394ce2a4fd163", "dfdaf36b557f4b14a7df13116662666d", "208288f014054f0aa036ff7e0411324c", "9ee40c1afaaf4bf6ba0a8feae33e6ca8", "72f4887e52ab4b18a391ed02e992c297", "8ffb3ae004874dc299363df373d83472", "9eca97fda61d4670b429fde670b7186a", "435d9e9230bb484a82d7ef63f0515f97", "e33655d9e814405b9f4be0bbc56de7d9", "bf87dc5fd9924d9787456ccf9dab55b0", "2725e75ecb9d469ba220b2f0f4bc5a33", "762857d8ecee4d57aa4dba88dea9ae79", "7805ca29d35d42bbb4a754e5b12b0ae9", "3b52b108d7d043b8b375d58f1d3a35f9", "302c6d9f4c934c8bbbb622dca5e630a0", "fd9053685eef41b6a82325a6cf7ac2f6", "bc5a061b5d8247a380e29d73bc2a1dcc", "a27fcc61970d40b49e5128a972ea273a", "986ff0d0be554c9c9460ed04156ff00f", "1bca9cedfdec414fb21a6818fc7e2e85", "f031ed789bf24bd09c643555adf67495", "4d6c01abc9344df4878afed40c479e4d", "7c4502d953a44c3cbb493d05c342b8ae", "232ce190632c4f3bb9f8636a3b73ab9c", "43f1b97bd77a4990b720869c8835dc4d", "1c6acb4916e04c7a9fa1772bfe48975d", "8de64ac861e643d6bb1857f8dbcf02b9", "2266420f766e4e9bb522a893686d7f64", "e583ad3c702e4902b734b6f8d7cfbdda", "90d9328f55034c2cbc13dd654715a29d", "fb5e6d403d7d48c8a2acf4014b750ec5", "24ccc9d424b643b3aa6182344756fe06", "89c3baef0fa44a83afb368244ca52079", "2e36f1c7c8c543e5924700210ebe890e" ] }, "id": "53W53eywENtW", "outputId": "5c67e9dc-1173-40fd-c594-01f745f60bee" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** Under what conditions might an explore-first strategy outperform UCB, despite UCB’s theoretical optimality?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "---------------\n", "\n", "**Q:** How do the design choices of each algorithm affect their performance in short-term versus long-term scenarios?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "4bZVQ5DwmLeQ" } }, { "cell_type": "markdown", "source": [ "**Question:** \n", "What happens if we let ExpFstAg explore for 20 steps? Compare its reward to UCB." ], "metadata": { "id": "yg04UIffn2Wz" } }, { "cell_type": "code", "source": [ "# TODO: Run comparison for ExpFstAg (max_ex=20) and UCB_Ag (Simple placeholder)\n", "print(\"Running UCB vs. ExpFstAg (max_ex=20) comparison... (Simple)\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 687, "referenced_widgets": [ "d922c0e227d046bcab9489a08f4caee5", "e3935ade56ee423f9c5b30fbd7a07ea8", "8ff8b96bf1124c4987b8396ec2e51bc5", "f9cce613eeed4be1808b26459933d4b6", "2325206e42f345a0bb74d0c4f6295b7a", "2c1de281a454401997deb2eb23a0d9ac", "622c876ff6bb4a90bcfa6a5a3aba7186", "a15c5802af6c40a4aab2193412ac34b8", "88889452eb204646a1b90e2c4f0da40e", "13b0f6bd5e7342b8942229ca558990bf", "e0bb306e2c73431ba1d88d38e6552d91", "e163b1a269d84a6fb4897562857286f5", "1ddaccc5b52e41f08c06a9fb655fbced", "1b7f901ce9b244998320cd769c409297", "ffadd4a84bad4a9888f1211295a3a496", "1dc2f0c95cf24776bb3f08b9b9a6eae3", "7a319550e49f491c9f554eb5ae8277af", "cb989ed2d4d14b27b75f385fe81daf15", "f7a397cc120444c784b2e6fe1048bf17", "4c0393a1db3a43de9181d5de4eb7df09", "b36647b2e7d64703ad9d0d531e6542f7", "781f619c64894c0f9c32d38d8b898190", "dd30f8961782478dac2ecdf6c01a6d49", "34fd743d21a147bf84bfbbc71cc44b67", "7d57ee7c36394eca89a813fa60f00884", "de58f7ff4b9140abab0c496284c14778", "169ed880765e4c46aba69dd429dd30a6", "e0700a3d8e5f4f16961652230bac7617", "a2cbe931a56b44c38be8e3c4592e7aae", "63f333745852471ab6b3d97fb2f3d7b0", "b0bec8613b894c7f961992c2895c901d", "f3b4d181afeb437294d81f6a9eb4ace2", "829e82eb0cbf4402925c73ef853d20d0", "8c3c6172ce9348a8aeeaf07eae5ef430", "f23493954cdd48c4a8949f983b729102", "12b4e29081bd437093f74b2da7a7e081", "f8190443f81945a0a85bea821cd2dcad", "7fd88a329ad440e4be444b49c7a980cf", "402a4319eae94a8cb9eae7a2ac9a7ed4", "29ffe26328ed4333b4c64fe5ddb814fb", "5654f38c61284d9ea2078b0c3fc2b60d", "768c844521214ae2ab33fee817d53050", "01ac1f3a13c148468a5aa4f38c286c5d", "bc68a1bd83334821880ce6c4f0679a3b" ] }, "id": "g-bEqQfvFEUD", "outputId": "696900b7-b540-4459-e0a4-3f77604d8ffe" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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rF9RqNaZPn84uUygUeOihh2Sdp6ysDAAQGRkpuv6aa65Beno6+9qZjXbLLbfwvmfO5VzXSlBQEPt/g8GA0tJSDBw4EIQQF3eA3M/IHR9//DEGDx6MyMhIlJaWsn8jRoyAzWbDDz/8wG47Y8YMjBo1Cg8//DDuuusuZGRkYMWKFbzj9e7dW/T7JfbHDWwW8sMPP2Dp0qW49dZbMXz4cHa50xWo1Wpd9tHpdKKZSZGRkaivr5f1vTIYDIiNjUVsbCw6duyI2bNn46qrrsLnn3/OBlHv2bMHlZWVmDRpEu89UyqV6N+/P7777jv2eIMHD8aPP/4IwOE++euvvzBjxgzExMSwy3/88UdERESgR48e7H7c70FVVRVKS0sxdOhQZGZmsi5hJ+3bt8eoUaN4y77++mskJiZi/Pjx7LLg4GBZQfvV1dUAIPue+PXXXwMAZs2axVvuTLbYuXMnb3m3bt0wYMAA9rXzdzB8+HCkpqa6LBe6HgFg5syZ7P+dLiyz2Yy9e/eyy7nvYUVFBaqqqjB48GAXdxUADB06FN26dfNwpY578q+//srLCuby+++/o7i4GA8++CB0Oh27fMyYMejatavLewEA999/P+/14MGDRa85EKHh4a0UbkZIWFiY1184pVLpEgMyevRodOrUCfPmzcP27dsl91WpVLjlllvw4YcfwmQyQavVYseOHbBYLDwB9NRTT2Hv3r244oor0LFjR4wcORK33347rrrqKq/GyiUmJkY0dkVIVFQUXn31VUyYMAHx8fF49dVXRbdLSkqCXq/nLevcuTMAR/o7N829U6dOkudu3749Zs2ahdWrV2PLli0YPHgwbrzxRtx5552sOHKHzWbD1q1bMWzYMJw7d45d3r9/f6xatQr79u3DyJEjAQDnz59HYmIigoODecfwNluMCGIOnHBv4kCjuEtJSRFdXlFRwS7Lzs7G4sWL8cUXX/CWA3CZ+OR+Ru44ffo0/v77b8lsPG7MDwBs2rQJGRkZOH36NA4dOsSbZACH2JDz/XLHiRMnMG7cOPTo0YPNyHLiPJ9YLIvRaHQZD9D4OcnJAtPpdPjyyy8BOGJoXnjhBRQXF/OOe/r0aQDgCTMu3NikwYMHY+PGjThz5gzOnj0LhmEwYMAAVhhNnz4dP/74I6666ipeDNRPP/2EJUuW4Oeff3YRblVVVbzfRPv27V3GcP78eXTs2NHlmrt06eLxPXCOv6amxuO2znMpFAqX309CQgIiIiJw/vx53vKm/D4Ax8NKhw4deMu49xwnX331FZ599ln8+eefvO+L2PdA7D0U44UXXsCUKVOQkpKCvn37YvTo0Zg8eTI7Hue1ir3PXbt2xcGDB3nLdDqdy28vMjLS5ZoDFSqAAhCn8paqU1FXV8dT5127dsXRo0eRk5Pj8iP0hnbt2qFLly68p2YpbrvtNrz++uv45ptvcPPNN+Ojjz5C165dWYsI4AiMPHnyJL766ivs2rUL27dvx4YNG7B48WIsXbrU53HKZffu3QAcN6Dc3FxEREQ06/lWrVqFqVOn4vPPP8e3336LRx55BCtXrsQvv/yCdu3aud13//79KCgowNatW7F161aX9Vu2bGEFUFOJjo4G4HhfxMalVCpF95Na7pygbTYbrr32WpSXl+Opp55C165dodfrkZeXh6lTp7JByVya+hnZ7XZce+21ePLJJ0XXOycWJwcOHGAnk3/++Yf3JA84AqPLy8tlnTs2NtblPcnJycHIkSMRHh6Or7/+2sUK4QzIFasPVFBQIFrOoaKiAsHBwaLiSIjwwWbUqFHo2rUr7rvvPnzxxRcAwH4OmzdvFrVicZMgnEkVP/zwAzIzM3HZZZdBr9dj8ODBePXVV1FbW4ujR4/ykizOnj2La665Bl27dsXq1auRkpICjUaDr7/+Gi+//LLL90DOdXlDWFgYkpKS8O+//3q1nxyBCfj++/CGH3/8ETfeeCOGDBmCDRs2IDExEWq1Gu+8845oEonc9/DWW2/F4MGD8emnn+Lbb7/Fiy++iOeffx47duzA9ddf7/U4pa65tUBdYAFIWloaAODkyZMu6+rq6pCTk8NuAwBjx44FAHzwwQdNPrfVapVVGXjIkCFITEzEtm3bUFpaiv3794tm7zizet555x1kZ2djzJgxWL58ebMXZtu1axfeeustPPnkk4iNjcWUKVNgtVpdtsvPz3fJAHK6ALluILn07NkTCxcuxA8//IAff/wReXl5vKwyqZvsli1bEBcXh48//tjlb9KkSfj0009ZQZyWloaCggKXJ+szZ87IGmPXrl0BgGdp8gf//PMPTp06hVWrVuGpp57CTTfdhBEjRkjWaJL7GbkjIyMDtbW1GDFihOgf92m9oKAADz/8MEaOHIkbbrgBs2fPdnm6P3ToEBITE2X95eTk8PYtKyvDyJEjYTKZsHv3btHsox49ekClUuH333/nLTebzfjzzz/Rp08fl33OnTuHSy65xKv3xUliYiIef/xxfPnll/jll1/Y9wwA4uLiRN8zbpHV1NRUpKam4scff8SPP/6IwYMHA3D8/rOysvDxxx/DZrNhyJAh7D5ffvklTCYTvvjiC9x3330YPXo0RowY4ZXQSUtLw9mzZ13Eg9g9UYwbbrgBZ8+exc8//yzrXHa7nbWMOSkqKkJlZSXvXusP7Ha7i8VeeM/Zvn07dDoddu/ejbvvvhvXX399ky2TThITE/Hggw/is88+w7lz5xAdHc0KWHdzz8mTJ/3+XrQ0VAAFINdccw00Gg1ee+01l6elN954A1arlafWx48fj549e2L58uWiP/iamhosWLDA43lPnTqFkydP8qw4UigUCowfPx5ffvklNm/eDKvV6iKAnLEmTjQaDbp16wZCCCwWCwCHoDtx4oRk1WtfqKysxL333osrrrgCK1aswFtvvYU//vjDJd4DcAg+bqVdZ+Xd2NhY9O3bV/Y5q6urXSbvnj17QqFQ8MzXer0elZWVvO3q6+uxY8cO3HDDDRg/frzL38yZM1FTU8M+wY8aNQoWiwVvvvkmewy73Y7169fLGmvfvn2h0WhcJuGm4nwa5E5ahBC88sorLtt68xm549Zbb8XPP//MWpKE5+B+JtOnT4fdbsemTZvwxhtvQKVS4Z577uGN19cYIIPBgNGjRyMvLw9ff/01OnXqJDre8PBwjBgxAh988AHPRbN582bU1tZiwoQJLvv88ccfGDhwoFfvC5eHH34YwcHBeO655wA4vj9hYWFYsWIF+zvkUlJSwns9ePBg7N+/H4cPH2YFUJ8+fRAaGornnnuOTdF2IvY9qKqqwjvvvCN7zKNHj0Z+fj4v7buurk524cInn3wSer0e9957L4qKilzWnz17lv1eOoubrlmzhrfN6tWrATjiX/zNunXr2P8TQrBu3Tqo1Wpcc801ABzvIcMwvNi/rKwsj1Xk3WGz2Vzc0HFxcUhKSmLvUf369UNcXBw2btzIu2998803OH78eLO8Fy0JdYEFIHFxcVi8eDEWLlyIIUOG4MYbb0RwcDAOHTqE//u//8PIkSNZqw8AqNVq7NixAyNGjMCQIUNw66234qqrroJarcaxY8fw4YcfIjIykmemtlqtrMXIbrcjKysLGzduhN1ux5IlS2SNc+LEiVi7di2WLFmCnj17ujyljhw5EgkJCbjqqqsQHx+P48ePY926dRgzZgzrGjh8+DCGDRuGJUuWyOpZk5eXJ2rpCgkJYasrP/rooygrK8PevXuhVCpx3XXX4d5778Wzzz6Lm266iSfwkpKS8PzzzyMrKwudO3fGtm3b8Oeff+KNN96AWq2W9T4ADhfWzJkzMWHCBHTu3BlWqxWbN2+GUqnELbfcwm7Xt29f7N27F6tXr0ZSUhLat2+PrKws1NTU4MYbbxQ99pVXXonY2Fhs2bIFEydOxM0334wrrrgCTzzxBM6cOYOuXbviiy++YF03nkz5Op0OI0eOxN69e/HMM8/IvkZPdO3aFRkZGZg9ezby8vIQFhaG7du3i8YDePMZuWPOnDn44osvcMMNN2Dq1Kno27cvDAYD/vnnH3zyySfIyspCTEwM3nnnHezcuRPvvvsu6/Zbu3Yt7rzzTrz22mt48MEHAfgeA3THHXfg8OHDuPvuu3H8+HFe7R/udxMAli9fjoEDB2Lo0KGYMWMGcnNzsWrVKowcOdKlpcuRI0dQXl7udXA4l+joaEybNg0bNmzA8ePHcckll+C1117DXXfdhcsuuwy33XYbYmNjkZ2djZ07d+Kqq67iTdCDBw/Gli1b2JpCgGOCHjhwIHbv3o2rr74aGo2G3X7kyJHQaDQYO3Ys7rvvPtTW1uLNN99EXFycZGsQIdOnT8e6deswefJkHDlyBImJidi8ebNL3JsUGRkZ+PDDDzFx4kRccsklvErQhw4dwscff8zW4OrduzemTJmCN954A5WVlRg6dCgOHz6M9957DzfffDOblOAvdDoddu3ahSlTpqB///745ptvsHPnTsyfP5+NpxkzZgxWr16N6667DrfffjuKi4uxfv16dOzYkVeXyRtqamrQrl07jB8/nm2XtHfvXvz2229YtWoVAMdc8vzzz2PatGkYOnQoJk2ahKKiIrzyyitIT0/H448/7rf3ISBomeQzihw++OADcuWVVxK9Xk+0Wi3p2rUrWbp0KTEajaLbV1RUkMWLF5OePXuS4OBgotPpSI8ePci8efNIQUEBu51YGnxYWBi55ppryN69e2WPz263k5SUFAKAPPvssy7rX3/9dTJkyBASHR1NtFotycjIIHPmzOFVwHWmHXNTNaVwlwaflpZGCCHk888/d0ltJ4SQ6upqkpaWRnr37s2mtw8dOpR0796d/P7772TAgAFEp9ORtLQ0l1olcipBZ2ZmkrvvvptkZGQQnU5HoqKiyLBhw1zezxMnTpAhQ4aQoKAgAoBMmTKFjB07luh0OmIwGCSPP3XqVKJWq9kaOSUlJeT2228noaGhJDw8nEydOpX89NNPBADZunWrx/dyx44dhGEYl9pRAFzSZKWu3/nZcVP///vvPzJixAgSEhJCYmJiyPTp08lff/3FS8/35jOSQ01NDZk3bx7p2LEj0Wg0JCYmhgwcOJC89NJLxGw2k5ycHBIeHk7Gjh3rsu+4ceOIXq8nmZmZss8nhpzvJpcff/yRDBw4kOh0OhIbG0seeughXokBJ0899RRJTU1lU9jdIVUHiBBCzp49S5RKJa8Ew3fffUdGjRpFwsPDiU6nIxkZGWTq1Knk999/5+177NgxgoZaM1yeffZZApH6NYQQ8sUXX5BevXoRnU5H0tPTyfPPP0/efvttl/IB7qq7nz9/ntx4440kODiYxMTEkEcffZTs2rXLYxo8l1OnTpHp06eT9PR0otFoSGhoKLnqqqvI2rVrefdRi8VCli5dStq3b0/UajVJSUkh8+bNc7nXSo1X7u/G+RmdPXuWjBw5kgQHB5P4+HiyZMkSl7pSmzZtIp06dWLv/e+88w5bIsXTubnrnPdWk8lE5syZQ3r37k1CQ0OJXq8nvXv3Fq3Zs23bNnLppZcSrVZLoqKiyB133EFyc3N520h938TGGKgwhPgQoUWhXARcffXVKC0t9TpYMlD57LPPMG7cOBw8eNBjpp3NZkO3bt1w6623YtmyZRdohBRvMJlMSE9Px9y5c3lViymtl6lTp+KTTz6RFWdJaX5oDBCF0goRZgjabDasXbsWYWFhuOyyyzzur1Qq8cwzz2D9+vX0ZhygvPPOO1Cr1S51VigUin+gMUAUSivk4YcfRn19PQYMGACTyYQdO3bg0KFDWLFihexsm4kTJ3rdd+tCUV9f7xKwKSQqKooXe3Kxcf/991PxQ6E0I1QAUSitkOHDh2PVqlX46quvYDQa0bFjR6xdu5ZXYbY1s23bNtGGu1y+++47Xso2hUKheAONAaJQKAFHQUEBrzO5GH379pVs50GhUCieoAKIQqFQKBRKm4MGQVMoFAqFQmlz0BggEex2O/Lz8xEaGiq7PwyFQqFQKJSWhRCCmpoaJCUl8Rr0ikEFkAj5+flNaipKoVAoFAql5cjJyfHYhJoKIBGcbRpycnIQFhbWwqOhUCgUCoUih+rqaqSkpLDzuDuoABLB6fYKCwujAohCoVAolFaGnPAVGgRNoVAoFAqlzUEFEIVCoVAolDYHFUAUCoVCoVDaHFQAUSgUCoVCaXNQAUShUCgUCqXNQQUQhUKhUCiUNgcVQBQKhUKhUNocVABRKBQKhUJpc1ABRKFQKBQKpc1BBRCFQqFQKJQ2BxVAFAqFQqFQ2hxUAFEoFAqFQmlzUAFEoVAoFEobw24ytfQQWhwqgCgUCoVC8QFis8GUlwNCSEsPxSuq9u9B5v1TUXvkcEsPpUWhAohCaSaI3Y7aP36HtbKypYdCoVCagaI3NyBnwRxUf7enpYfiFSXvbwIIQeHa1S09lBaFCiDKRYvdZETFV5/DXJDfIuev/mE/Cl99CdmL5rTI+SkXJ4a//0T1D9+19DAoAGp/+QkAUP7lZy07EIpPUAFEuWip+OpzlH3yf8ieN6tFzm/44wgAwF5T0yLn9weEEJRu24KqA/taeihtEmt5GYre3ABj1jl2WcHq51D89usw5WT7fFzDn3+g+J03YDeb/TFMis3W0iPwCkarbekhBAQtLoDWr1+P9PR06HQ69O/fH4cPS/skLRYLnnnmGWRkZECn06F3797YtWsXb5unn34aDMPw/rp27drcl0EJQEznz3neSIDNUIvclUtR9f3+Jp+f2FvXTVGM+hP/ofKbL1Hy7puS2xC7HQXrVqN025YLOLK2QdGbG1Dz0w/IfXoeAMd77cRaWuLzcQvWvIDq7/ejau8uzxs3I97Ezvg7zsafxyOtTAApw8JbeggBQYsKoG3btmHWrFlYsmQJ/vjjD/Tu3RujRo1CcXGx6PYLFy7E66+/jrVr1+K///7D/fffj3HjxuHo0aO87bp3746CggL27+DBgxficigBhjIk1Ot9Kr74FMaTx1HyzhtNH0AruymKYS0r9biNKSsTht8Po/KbL/02ERC7HbbaplvObIZaEKvVDyNyj91kgt1k9OsxbbU1MGVn8ZYRzjn8cV3WivImH8NXSra8h/NPzIStttbjtrV//I5zM6fD8Peffjl35bdf49wjM2DKzfHL8VqbAGKUqpYeQkDQogJo9erVmD59OqZNm4Zu3bph48aNCA4Oxttvvy26/ebNmzF//nyMHj0aHTp0wAMPPIDRo0dj1apVvO1UKhUSEhLYv5iYmAtxOZQLDLFaUX/qhOREoAwNa9zWYpF1TH9MugBgysuBtbysScfwdH0XAnudweM23Pc295mFfjlv/qqVODdzOkx53k1Qxsyz7GdorSjHuYfuRY6bMZkL8mEpEX/gkgux25H54N3IvG+q3z4rc1Ehzs2cDruB//7b6+sb/2+sF+7mPQzT9GP4SNWeb2AtL0O1hHvVXl8P45nTIISg8NWXYDfUomD1c345d+mH78NeU4OS99/yy/Fgk/+5W0qKYS5smbhEFkXj5861KrY1WkwAmc1mHDlyBCNGjGgcjEKBESNG4Oeffxbdx2QyQafT8ZYFBQW5WHhOnz6NpKQkdOjQAXfccQeys333lVMCl9KPP0TeiqdR/J74TYzr57ZWVsg6pj9uBpayUuQsmANLUaFX+9mqq1H9/X7WklDywTvIW/E0Sj/+sMlj8hXuhCvHZeCL21GM+mP/AACqD8h3Rdaf+A+5zyxgRZjh6O8AADPHikIIQc0vh2DKy4HNYED2vFk4P+eRJn3u9vp61tpnrar0+Thcan48IH4uY6MFSI7lxBMM0+JREJLkrngauc8uQu1h1/nAXl+P6u/3w3Q+C9U/HpD9gCPEF8FqLshHzaGDvN+DXAsQsdtxfs4jyJ47C/b6etQc+hHmwgLYaqpR/cN3vN9bc8JwhC+xtN04sBazg5WWlsJmsyE+Pp63PD4+HidOnBDdZ9SoUVi9ejWGDBmCjIwM7Nu3Dzt27ICN8+Xr378/3n33XXTp0gUFBQVYunQpBg8ejH///RehoeIuEZPJBBOnKFR1dbUfrpDS3FTt/hqAY7KIv+d+l/XcmxuxWFB/+iTq/v4TUTfdAkYl8dX3gynbnH3ep/0KXn0JxjOnUH/mFOLvuZ99Mq7a/TViJ01u8rg8YSkpRtV3exBx7fVQRUYBAOz1dY0b2GyA2PvmpRWh7r9/UH/yhONzUHiYgL34PKp/+gEAYCkuQsXXX0ARFOx67n/+QtHGVwEAyQufYZfb6+qgDAmRfS4+jRMh4weLirkwHxVffSa6jvt52A2+WSsrvvmq8UUTx0usVpR/sQPB3XsiqMslvh1EYgjmHMfvqPZXVwFU8sE7qGn4vAHAVlODyNFjvT+33fs4IGdSBaPm/BZkCmgbRyBXfbcHZR85Hm60GZ1gOnsaxW+/jqQ5CxDcvSeq9u+BQqdD6MDBXo/RI1wBZDYDWp2bjS9eAlf+i/DKK6+gU6dO6Nq1KzQaDWbOnIlp06ZBwbmJXn/99ZgwYQJ69eqFUaNG4euvv0ZlZSU++ugjyeOuXLkS4eHh7F9KSsqFuJw2Td3xYyh4dVWT3URCyj/fjtKtm2E4+jsqv/6CXU5sVuQtX4KKLz9F1YG9kvv7JXDZxznFeOYUANenf0atbtJwhFR9txdFb24AsdlgN5lQuGENag4dRP6Ly1H59ZcoWPcyu629rnHCJRJmfjlPv+Vf7EDJh+8BAPJfWI6Kz7ej5qcfUPz+JlRwPifXY1tRf/I4Cl5dBYuHeCQb58Gl7KMPYTx90mUb07mzjdtz4l/MeTkoWLsahr+PuuzjEZv7yc9WW+M49p9HRNfX/fcPCtauYuNxchbPE93ObjQin+MC8sUCZMo5j7JtHzQuUPC/rJbiQhS8ugrGM6d5ywkhKNn8Dip27eQtrzqwDxVf7EDeyqUu5zLn5aLglZd4VkHT+SwUrF0Nc34eu6zs4/+DMfOsy/7sEIOCXJbVNKSfO6n77x/J/d3hyfJX+9uvKFi3mv8g0IDx7Bmvz2etaLRE1588zv7fdLbx/c5/cTmslZUoeX8Tit5Y7/L7stfXo3D9GtT+9qvX53fCvW5vMgGNZ047fovFRS7rqn88gMKNa322xrUELWYBiomJgVKpRFER/40sKipCQkKC6D6xsbH47LPPYDQaUVZWhqSkJMydOxcdOnSQPE9ERAQ6d+6MM2ekv6zz5s3DrFmNqdLV1dVtRgQRq1XUGkLsdoAQMEqly/ZQKpv8pJv//DIAjsk94YFHZO9nr69H3gvLENyzj+iYyz/9GABQKbhRc28iYj9eFonJjBDisEYwDKq/34fKvbuR9PhTUMfGyR47eyyR97xeZLJ2ImbJaAolDS7D4B69YM7PQ+3hX1B7+Bd2PfdmbOMKIKsNEMmededGqPjmS9T89APMDcGmVfsbC8ZV7fsWpqxMAEDk6BtF9yd2Ozu52k1GJM9ZwK6r3L0T1Qe/R9KcBVCFhcNWU8Xbl+v2JISAYRjeWLmxPyWb34E5NxuGI4fR8d2tvOPUHvkNZR//H+JnPAhdh46uY+QIQzE3Yfmnn8Bw5LDosYndjvwXlrOvEx9+AsQs3qKg4psveTFBtpoaVO7eidL/2wx1XDxSnn0RCo1G9PvlXMZ1oQEAo1Dwti9Y+zLMOedh+OM33lgthQWo2rcbAGCvrUb0+EnscinyV62EtbwMdcf/RcbGd0GsVuQsmQsAUAjSsHOfWYCMtz4Qvbcogl2//4xSxftNe7LeVe7djZqD3yNx1lNQcTOg7HYUblyL2l9+QuhVQxA//UHefoXrHQ8DZZHRiL1jiuCo8q1H1d/vR+W3XyNsyHDO7tL7c78D9vp63vVV7PwMtb/9gtrffnH5PsmFK1K8cYHlPrsIgCM5ImXpSt664k0bAThqI2Vs2uK4Pj/MFc1Ji1mANBoN+vbti337GgPg7HY79u3bhwEDBrjdV6fTITk5GVarFdu3b8dNN90kuW1tbS3Onj2LxMREyW20Wi3CwsJ4f22B4nffQuZD97g8WRO7HTlL5iLr8Qd5E6C9vh5Zsx9G4asvgRACS3ER3w9OCMxFhbxlNoMB1mr+xMTFdO4s78doKSl226Om6sBemM5louKLHS7r3E3E1rJGS5NCI10DQ8wCRCwW5C5biHMPz0DWYw+g5P23YcnPQ8kH70oeRwpj1jlkPjAN5V98ylue99wzEnsAimC9V+ewGWp51hAprJUVolYSLtwnX0kLkJsnvrJtW1jx4zhp4zG4VgBbXZ24NZArWATCtfT/NsOck826i4hZMA5enIMFdqMRFV82vu/cazcX5EGKwrWrYCnMR9EbG2CtrnLJnOJOxMRkchmnMC7IWlEOu8kIQghyl86XvD4hNsF5bbU1KP2/zey+tYd/hqWsFOceno68F5ez4zIXFSLzwbsd2womo9rffsXZ+6eipiHOhvs+2Dhiizsh1/7+W+MB3Mxtzs+TGI0w5WTj7PS7Go8n8p059/B0FL/1mmM953MXewAQCjzhb8RSWsJaNgghKP3gHZiyMlG1h5/2bykqYIsZ1vz0g+Q9xJmNx/2shQ9ZgOPeKfY5Fr/zBsx5uSj9v/c5G7sRQJzzmHLO86w01nLxzD270Qhj5llYq6t4n53o8bnhAcLfjXO53Q5zYYGoqBcGcZd+xI9TrPv7T5x79H728wxUWtQFNmvWLLz55pt47733cPz4cTzwwAMwGAyYNm0aAGDy5MmYN6/RHPzrr79ix44dyMzMxI8//ojrrrsOdrsdTz75JLvN7Nmz8f333yMrKwuHDh3CuHHjoFQqMWnSpAt+fYFO9YG9ICYTqvZ8w1tuLS2BOScbtuoqnHvwbnZ53bF/YKusgOHoERiO/IbzTz7Kqn7AcUPIfuoxnon93EP3IOuR+2Cvr0Pdv3+7TB6W4iLkvbQCgCNz6vycR1Cw5gXJMdsk2krU/feP27oohWsbMwUZNwJIzJefu/JpmDLPwl5fB1tNo7CwFOTBbjKi5tBB1B7+RVYgbcl7b4FYLCjfsY2/wo0bSewJ2FpZgbp//+LdnOqO/QNreRnOPXQvzj0ygxWSxGKB4c8/XJ7+ickEs4dAbTs3K85mgzkvF8ZzfHeF8AnSeJbvPpGCO6mef+IhZM16CKbzWTD8+UfjNjKya4jRcRzJuK6GMXKPCwCGoxyXFOd9NPz9J4jdDmKzofZI42RvKcxH1iP34fxTj/MeGriTVeGGNTj/5KOoO36MXabQaNj/V3z9BbIefxDnZz8Ce10dTOezeGNwF2guXGcXZCwSmw1V+3bDXl+P+mP/oOj1dTBmnkHRxrUgZjMqd+90xHtwsBQVAlYrija84ljAuZacRXNArFYY/vyD186F93nLfLov/fA93nus0LtabOz19Wxcj83Q6N5T6FxdYC4WLs5DkzkvF+dnP4y8FU/DlJvDa1MhFF7C19zz8pZXOR7iijauFV3vpPLbb3D+yUdRsfNzznW5us8A90kF3M8p//llyFvxdOM6zn2G66rMe+FZ5D6zAFmP3IfcZQtFj28pLUH9if9ArI3XbfjziOi2ZZ/8H7LnPo6qb792HaDdDmK1ova3X1HzyyFeuAEA1Px8EHZDLS9OKxBp0WIAEydORElJCRYvXozCwkL06dMHu3btYgOjs7OzefE9RqMRCxcuRGZmJkJCQjB69Ghs3rwZERER7Da5ubmYNGkSysrKEBsbi0GDBuGXX35BbGzshb68FsOcn4e6Y38jfNi1bicFJ8Ivv9B6YDebodBowHBu5DWHfnT8e/B7xN51NxRaLSt8KnftRMxtd/F+qHkvLIfp3FmoomOQ9tzLvOMbG3zhzoyfes7kIcQmkZbNdSN4wu1EyRmzM4vIJBGfYKutRdGbG2D43VG8M7hHb+j7XQ5lWITo9ub8PF4MCiEE1d/vg7ZdmttxiMVA5C5bBGtZKcKvGQVdpy5QBAWh4OXnedtYK8qgSUhC2SdbUbl7JzSp6QgbNIRdX/7ZJ6Lj5E5qXMFHrFZkL5gNAEietwSm8+cQPnyky1Nz7rJFSJ7/NII6yy9A6sx+cbpI2HPKiC+q/mE/Isfe7DIZOzPJAMdEJ3SR8U/U+BsoWP0cwoePhCo2jh8v49zUbILh6BFEjBjlWMAZo9Palf/8MoRfMwqRY8fxYricQa+2mmoXcUfsdt777QlhDBCDxtYMAFB7+GeXDCqhAHKB8z5Yy8tR9OYG1P56iL8JVzTIFEDCOBNPbhc779r496e6//6FTWBVdn5/an/7FZUNxR1NWZnIWchvQ2OtdF/3yG4wAOERLsttDZa/2t9+cd2JQ+UuR4B52cf/h8gxDs9EoVNcCnEjgOwCN6jTVexY2fh9y312EdJefBWqmFiYMhvDPCyFBaj76w9Yy8sQNuxaMAyD6p9+QPGbG1zOVb7jI2jT20Pf61L+tXz9JQCHpTVi1Bj+0Bus4jwBz13vRVmAlqTFqyHNnDkTM2fOFF134MAB3uuhQ4fiv//+c3u8rVt984leTGTPfwKA42anv7QfKnfvROTYcVDHNIpAXsyJ4IcoTBmv2r8HkdeN4d3oDX80PhnbTUaHT59h+MfimnEbJn5rWamkS4xb5M1mqIVS7CnRg2lXDs6nn/pTJ1Dzy0+IHj8JyuBgGLMyeZNmwSsvuT0Oo9Wy4gcA6v79C3X//oXQwVeLbu/8XJwYTx5HybviKfxc0cWoNS7rnQUKq/btRtW+3dCmi8XBOSYn54Rgzs5C6YdZUpfTSEPcFyEENk4bD64FyRmXU/rh+wgbOhxCqn884JUAkoJwYrJ4qbsCYZT33DOiljJ2e7PZvVtQ8Buo2v8tNKnpkps7JptRDWMRv9lX7dsN0/lMaNtniK4veYdfXduSn4eKz7dLnlPoWhHWrKr55SdJ94gTKQEkZRUVih+AL4AYmRH/wvMKrZFcLCXFKGzI1AMaYs845L/wrMs+9vo6WCsr2ZgdyWMXF7stfij1gGWvMyC/wVLtDmHMJODIPBTFnQASsRpVHdgHe329i6XZeO4sgkXc5AVrXgTgiD+Km/6QqPhhx/jXn9D3uhT1J/5DzeGfETPhdt764vc3IaTfFbxlUuIH4H9mzgdowGFtqvv3H8Tcdqesh/PmpuVHQGk26o4fQ+WeXbBVVsCUfR4pSxqtJHnLlzRuKBRAAjdV2dbNsNdW89NnudhsqNyzi3ec8s+3I2Lk9aKbi92ECSGwcGJALCXFPAFECEHJ+5t4wstXnOd3mpWr9+9BwkOPoXD9Gq+Oo1CrIWafELsx5K5Y4rIsryEQXAxnsCHAv6kSQkT96rwnROe2DRMzo1J5VanWmZpe9vGHvMlOqihitUjbEOETus9IiAvhWKxlpVCrpeP8cpcvcTvhiJ9E2qXJFR/u3lvjmdPQposLIKeFkUvVvm+lj8XJGnIMgn9ed5ZTJ4Ub1oguF7MySsG3ALmur/7hO9S4WI0EAshN1ez8l5+HhRMfBhmZmfXHjyF7wRMet7OWFCP3mQWS6/OeXYzYaTMQPnS4i2XcnJfr9thlOz7iVU6XSjBp3MCNAKp1/a1JtaOx19Tw0uuFmM5nebRcOcfijEUUPnxW79+Dak4Cgyd4QdyGWig0jrIaTlGmDA9H1Nhxso/XXFABdJHBNTUTsxm2BmuO6Zy4G8exoeOJLGfpfAR36yHqn6/46nORHRt2t1pRuuVd3rLyTz9G+PBrRbcv/9zV9UKMRtbPDgDWkhLYE5KQ8/R82OsMiH/gEVR/J52+7g12EfO7t+IHAM+PzkNk0jaeEgk29nJCLnpzA2p//5UX7+COis93wHjmlOztWRQK2KqrWRO4E2/Srm1VVche+KTnDT3AExcMg/qTx1G44RVEXOsqrt1ZB91NEFKYc6ULqPKCTK3uJ+iW7rclB1tVJYwcF4o7iNWCim++RPjwa3kWOqBBoL/9uus+QguQm+8ST/xAnhsUkGcdluNiLHnnDYRcfiXyRB5a3CFMzLBVV0EVFS25vVtXvxc1nqwV5R4LvQrfUyFE4GZsanV07rXZDAa2rpiTmp9+oAKI4l/sZjPOPXgP+1rKz24RBgsTgpqfD8JSkI+qgnzovCxoJnWDksqoqP3F1axe989fPMuTtbIcpuwsWBqyDSp3iwTi+YjHOAi5x5GY+Gx+7v5ur6+DKfu81wGFYhV05cAwCtSfcHU12yUCRMUQs0j5Aq98QVEh8l5cDlitKPvk/1y29SZ+pqlwJ9vWEu/giaLX18netmzbFlTu/pp9wAKcGVDiQfVCa4o33w9/9dlShIS6BI5LwU3+8JWsWQ8h/v6HfdrXq4eN6mrJ5BAnHi1AgoKQJpliWA7O95z7HbAUFqD8y09bXAS1qkKIFPeY83J4Vgmxid5uNOL8bP6PsubQjzzTrYup3QM1Bw+ILvemwFbhhjW8m5O1opxnEaqTKCLnC34TQBLp335z/zRQ/9+/yFn8lF+P6RaFAuZ8V3O/p9Ta5sAmfLJtwb5oXLguuItFAHnbEkH42RCLhVdugovHit/u8EdxUsCnml1NxVPWmBTOJBM52I11TW7BUvfPn/xyJB5KMnh17H//RtX+b10aK5dv3yaxx4WDCqCLCWGarMhEL9bd215fJ1l6Xw5S7rGm9LWxlpf7XUg48VfvG0kX2AWAm5Hn92MrlaImcG8sQP7CUz+1oK7dkLLsebfbNAc2Qy37RCtlCWwpYibd5XkjETwFUHvcv6wUpVs3i65rSq81f1mAWkIA+YrVCxeU3WiErUper0PJ85WVSvZUbCoVX32GkvffFg1eb2moALqIEN5khBYKa0U5Cjj1cJobsUwGuW0d6k8e5wVF+xO72eKXpqct2aVdFRXTfAdXKESfAKVqpLQkCr0e2pQ0hFxx5YU9sc3WGOgpc4J2l1XmTxQh4j0Pm5vs+U/AnOMaN8Wo1U2zunpoNSIXdVzLCaDgXn2a7dh1f/8pWpTRW2oOfu+H0UjjT6uSv6AC6GJCKIAEN53id990W7re78MR8WMruWXoRdC2z4AiKAi2inJU7pQOvG4KdX8eQfWPB5p+IG+zigCEX3s9NCmpTT61Klo6uNJbGB2/EaKtskI0ILYlLECecFYAlqq95ImQKwf6fG5LoaPquVwLRUjfy92uD71qiNv1TiJvusVtnJ5SoulzS0EsFva7E3RJd+/3l3Axhg4Y5NVxVLHxnjdqJmJu880q15xo09K92l4V7d1Dl79b+DQHVABdRAhdMsJUU2d35aYidwJ31uRg1GowGi2CunbzuI+ufQaU4ZFNGp8U3FonJe+80SznUCclu12vDA1F0hPzecsSZz2F5HlLkLLseaS9+CraLZJOj+cep6mkPrcaaS++CoVInSHYbNC0S0HygqXsjVIsBkidIJ16fiFwWhR9dQkKi795Q83PB5H1yH0olvFdUscnIKhbD7fbBPfoJeu8ESNGwdzQmkEMZQtZgOTgS2dzYVkOwPG5x919H5IXLEVwn76yjuOzC4xhoORkMUX6ELirimyee1pTaLdwGdo9vQIqzvui4tSKExLuLPwpk5D+nh8u3LU9uhBQAXQR4WJmdukiLF17wxuCe/b2antVbBzSX16PpNnzPVpN9P2uAIh/TN5CLsSTcZCHDDplSAhUnMrlgGMSDupyCbQpaVDHxkGX0cnjeRRavtUm4aHHvR6rJiEJ6tg4MGrxZFB1bByCOnUB03AubpFIJ27bilwAnNkv3OaaCr0ekTc09gfU970cSbPFO6zrL+3nskwns4Bj9U/fw1ZTLcsylvDwE7yWGC7j6HcFlCIViF1QKKDQh7CfiRjcxplC656T4N6+C7+m4K5YpRR1f//pskwdFw9GrXZ8P5WepzGFXg91nG8WIIUuCHrO+xU6YBDarxOvySN5DB+tIXGC5qzuSHzMu7ITjFoNXXoH3tj0l0qLSbGWJKLb6fWIv2+maFNf4ffObXmWCwAVQBcRnrKupHrSeItYZWK32ytVUOpDHAX53MTeJM9djOBuPXjbMFr/TbCe3G8AkPTkQt+PHxGJ6P/d6n6bEEGjXR87JSt0QYieeCf0l/ZF+/WbEHJ5f4/76Dp24j3JOpEK4nW6l8Sq2zqJmXQXtBmdkDhrruQ2zYmzvgjXAtR+3VuIHj8JiY/Ohq5jJ0RPuJ03+UX9byJ0XS5B+/VvuRQAjJ063aV+lf4ycdeVXWa5g5TlL0LbLkVaLDIMEh56HKoIz1YCZWgYGIUC8TMektxGoW8U+lKTltaLeCRfLB5SeFNw0R2erGlCkmbPd9Tk8eH3xmi1vNpojEZzwaxsug4dZd0Dg7r39Po9YeFk2amipS1Acq2s7de9hdABg3iWJQDo+O5WJD7Kb01SJ/JQdSGhAugiwl/p3Z5w9yQrBq8aqhsBxN5kONskP7VIYmvvUYaFedzGXef1pDnSFWQBoN2iZVCGhiHlGemsJEWIa5FJMbTtxVpbcI6j1yPy+huQ+OgcKPXyusW3W7gMuvT2LsvtRvFsPeeNl1FKlwvTtc9AyqJl0DdjkKc7om66BQCg4IgLZ8sM/aX90G7hMmgSEqHgCM+IUaPRbt4S0VYrYYOGuljXXKody0jp5sbzOFvQSE0gwd17gWEYWRYgpwUluFsPhA0b4bI+ZtJkvjVMZPKMnniHS2E6d/jTfaPQSFuuZB9Dr0f0+Ns8bhd+7fUIvWoIUpY+B137DDAKBWLv8r6+j0Kj4Qlo5+coZikUFpENHTSUdWknPPwEwq6+xqtzq+MTZD1wMkql7AQTIdwHzvDh10Lfj/8wFX7NSMQ/+Cjvvi8VD5T4+FPs7y/yuhtcxyn47ajjE3was7+gAugi4kIJII9PAoIvOVcAubMAOU333G3UCUmyxhR37wNgPJholaEyBJCbm0hw955u93UKBW1qGsKvGSkxBsGTo4RLMPmpxW5jG0KuGOB2LJKITN6S5vkGyxCjlf68uZ/tBQ96ZBhW1Hr6TiqDg5Hw0GNIeOhxUVEAOMzzjErl4jYSZvvJcQXET38Q8fc/goSHZ7GCSizWKup/ExE7bbpjvQz3ENcaJ5zwtGnpiBg1mu3l5hgr/1oib7gZkdeP5QVuh3gIJlZGNIql8FGjWSuOMBA7pP9ApD63GlHjJrBj0Ka154lBrrs1uId3rnQnCQ886ipSRYieMAnx0x/kBfuGD78W8Q8+6tX5QgdfDQ1nonZ+jgkPPoao8bch/ZWNSF74DGJun4z2696EJqkdu238vQ+wLu2Qvpcjbup0r87NKBSyhI21ogIMwyDxsTmi72vUuAmIGjdBXHBwvgsKjQaJMx/n/Z5i77oboVcM4FkwpQo8cl2FiqAgt4HTqStWIWzQULfX1dxQAXQRYCkpxvmnHkPl7qanQgJAcK9LET5cfAIHxOM+4u59gLMB/5FZrgVI2eACiL55PADHjUeutUl/aT9es8zIBssAFzlZD6qYxh+smKByl6nDvbmHDRkmuo1c07lCp0PkmBtdloePuA7JC5ZC4yb4OOxqV8uAM/jUuU7XsTO7Tsr14sy+EbOUsHAm29QVL7mYuKXSf+VmA6UsfxEpS1eKrou57c7G4zWY/925WEIuv9K9q7BBiyoFQiS4G1/4ynXjhF45ECF9GxtIignJqBvHQd0wSTAMg5RnX0TE9WPdjLFRMHN/GwkPP4GkOQvZ47DnFHyHnZOptaKxxESUyG+FC/f7EXL5lWi/9k0kzJyFxEcae28pw8KR8MAj0CQkIeqmW5Dx+ntIeHgWkubM51sQOf9Xhnt2SYshFKBhQ12tKopgveS9g2Eap73U5wTNU0V6d0VeP7ax2bBSyVpGVRERiLrhZqjCIxDUsTMiRo4GwzCIuWsaACBIIqg9YsxNossB8JoaO4WpnKahzsKc+j59WUHNJeqmWxB10y2iDwqiD6UiD2bcfRVNiP1LXbkaSU8tgsZDwsiFgLbCuAgo3bbFY8E4KZJmz3fpcswolYi5cyrCrxmJ8i8/Re0vP/HW69LbO24UnCfjsEFDUX1gLyylpQDDwMbJ3OD+wBRBQZJNNZ037tAhw6Dr2BnqhES38SdcFMHBgIIjvER+1OHXjELplvdE948aNwFhQ4fznizVcfHQJCXzrj/unvsROfpGZC+Y7Tp+zo1Km9Yeqc+vQfa8WbyxiPVZk0Ksem7kmBs9ui+UIm622MmOFin6nr2R+txqqDm+/thp05G7bBH0vfrAcLSx4jabYSV42lbo9WwrCO5kq4qMgioyCtqMTrAU5iNp9nxo0zvAUlgAVXQMrCXFUMXGORqXxifAnJ+H+mN/o/T/xIvnAYA2OUV0ecqzL0KT3PikrY6OQdpLa926MD3hvMFz46TCr73eJbPP1zgWoSsjbMhwl2207VJg6egmCJ4zL3EtblIp9kJrl9MiREyN1mJPwcFcoaKOiQWjUrl0BhfGnzAqFSv+uA8GjIpjwRL5bSuCgpD05EKoIqNQffB7lH+y1WUbJoj/fdT36oPUlauhjolF1YG9KN3yHuLvnyl5PVyLiiYhEXHTH0TxmxsQd+8DqNy9k1fLiNHpHFZBlQrpa14DGMZjVevgS7oj7aW1kg870bdMROjAQVDHxCHzoXt491FG0zi2+Hvud7wnEi4wRqVGxOixqPjqM8TeOY1dro6OQdqLr6Jw3WqXxsyi1k+RMg6KoGDYLPxCtNx9ReOSxO7VIjFXmsQkaBLlWfabG2oBughoSkE+sbgDVVQUGIUCmuR2iB5/m8sNUpvWHu1ffcPly508fynSXnjFxdXELciYIDA/pzz7ItRx8Yhr+LEDjklVk9zO5QapSUmDKjaOtRQBgDajEzLe+qBhIuaMRySTzN2NSxUZ5WIJUYaEuJiMne8LOyZOMKkwVkYTnwAFJz4npP9A7+KnRGJv3D0NRv1vIjRJ7RAh4nvnukI0CUm8SUCX3gEdXnsHUZy4CoVej6gb/wcAUMc2iiVtRieE9r/K7bDbLViK9ms2OuIuGAaaxCQoNBpokts5/k1MAqNQQNsuRVQEiBFz+2Tea227FJ74AhyTs9B6I4fYyXdDHZ+AmIl3AOBb6RTBwQi+pDu0nMw8Ty4wqSxJ7vcv6JLuok/qAFz6MnEhnO912LBroWmXKhqkHH7NSGg7ZCCYk+avjk9g3++I62+AOiERMbdP9jihq6KiEdyzN/SX9pOOU3JXC4n7neVcWtjwa13KKLR/9Q3o2mdAFREp+T6LLdckOr7TEddejw5vvO+2vEFwj17QZnRiY6jCrhqCDm+8j7BBQ8EoGu85qtg4JD3e2IJGFREJlZxMPTi+i0L3oxNGoYA2OQUKrZbnLgMANadWkfO3LpWl2X7DJkT/71Z02PiuS/aWOjZO1IIdO22G437LyS4TS31PfGQ2VLFxSHik8UGPUTXeM8SEVJPanbQQ1AJ0ESCcCLyB+yONvOEmmHJzETWuMZNJHROLtBdewZmp/KBDZXCwQwBxTKWMQgFGo0H0+Iko/2w721CPK9B0GZ2gioqCtbwcuo6doG2XgrQXXpE1Vn2fyxB9y0QUbniFbfSZwq2Zw7EAETeTiBhiwkKpD/H4dKxNbtdYk0XkCSioc1cYjvwGRqVGwgOPeDcmkfRetwLoxnGIutG3jB2FRgNiafyc2q/ZyIqksKtHoP7kCQT37I3wq69B7ZHfULX/W+lxKxSyAoUBxxN/+/WbUPzWBgR174XSD94R3S5i5GjU/n4YxlMnvLgqeYQPH8lz+XJv5PbaWjAqFVIWLWN/A0ILUOSN/+N1Ao/muOYkUSjc/G7dfHc5vzdlcDBSn31BdDNnsG/Vgb3sstTnXmbPqY6JRRrH/aNJSRWt4gw47i9JT4iXEXDirh4U92mfZyVNTUfacy/j3GMPwFZZAV3nLjxhLvVgJyUs2PUeHjKcn6foPpzPPv3FV90exx/o0juw94+I68Yg8oZxsBkMCOPFTTW+J+HXXoeqPbt4Y/bmoUqb7Hq/jb/3AZR88A7P9arr2Mn1+jn3I9GMRrFkiSbMTRcCKoAuBpqgvLmmzJArByG6nbjLQRSJeB59r0uh73UpMh+YBnt9PTRJfHNn8tzFqNy7GxGjxng3WA/XGXLZ5aj+fr/jZiwYm7N4Y+Kjc2DMykToFQNQ/sUO1P7a0Jle5Ieq0IcgdMAgWAryXTI+kmbPR93xYwgfOgw1Px9sOITrMeKmTkd5dIxsSwcX7tMou0zlW6aHHLgB2tybrkKjQeLDs9jX+sv6IWrcBGgk3FNen1ev58QOETBKFSwlxQjuxo8T8ldPKG/QimTNKQRZd/o+fWEtL2NbCchy27q5FnWcm8wYb6uPczZ396AUPnwkSt5zlAWIvu0uVO76CpaCfI+HT174DAy/H+bVXRISNngYLCUlCL6kO9SxcYi+7S4oQ0NZoZk8dzGq9n2LyNGC2CdJAeSfVHrxg19YK0b0xDugCApCyIBBbIZm0mPCOLpLYTxzGoxW68jy0wVB16Gj54PL/K6o4+KRJKOMBfd+JBaYLTdcIZCgAuhioCkWIM4XuSmWJDGSnlyIumP/8J5mAMcNPvb2KbKPw6jVIBZLY6VciXHGTJoMbVp76C/ty+uNEzv5bugb4hH0l/ZlzcXx981kBZBYlWNlSAgYhUI05Ta4Ry92PAkPPyEadwM4Ms/ErjXkyoGo/eUQwkdeL3XZvCeuxmXybjJB3Xui/tg/UCck8YJV3aGOjkHCI7M9ptUzDOMxcNZXIkZcJ7kubPBQlJw9DW2HjGY5N5fU51aj/uQJ0crFypAw9vMD4OKudVc2wIk7MadNS0f8g4/CePIEqvbthjoxqVGMeC2A5BUVDbv6GodrJsNhldWld0DOEs+TYlDHzgjiBNSLwSiViJkwiX0deR3/wUeTkIjYO1x/I9zK9sqISLb7fHNOtOx3LM1V+DYHSr3eY/PayNE3QhkW5iiXoFAg+paJso4dOnAwjKdOQNOu6a13AH4wvJglmgogSovAKOQLl7QXXkHlnl2o2vONY1+uRcHPAkjXPgO69k2frNJeWgtLSTF7ow2/9jrU/nqIF98AOEzjziJ2/NoW4hltPFcHp0ikNqMTTGdPI3SQvN5Mnno8iRF39/0IGzIcQW6rDrt+HnL97IkPPwHjubMI6nKJV775kMtcKyMHCmFDhkMdn3hBJidNQhI0bkowxNw+BbW/H2ZjObjCVE7WjlR/KyehVwxASL/+CLm8PzQpaSjfsQ1V+75FNEdIyEKmXmIYBmFDG62U2rR0tFu0zOv+T/6E6wJLXf4irOVlstLfm8KF/I7JhVGpEC6S2emJsCHDoElI9FsTXkVQEFKXvwQoFeL3FBEBFOhxQVQAXQzI+ZIxDMIGD4M6Lh7Rt0yE4ejvDnGiUkHX5RLY6+vd+vETH5uDwo1rEX/PA5LbNBeq8Ahe8GFQx85IX/Oa+8rOMp+Uw6+9DjW//ISwwVezy9rNWwJbnQEqGZWjfUWh0SDYQ+VWT5Ok2+PrdAj2ofFkIMMoFAFxTQqdFqqwcKSvXs+6Y7hxGHIsQHI6nDMKBds/L+bOaYi84WavChgCjlTq8q8+k91njIuclizNSfiI61D9/X6EDLgKSn2I+3IMfiJQvmP+gPv98RfcBBAhYvfL+BkPIf+lFd4L9wsEFUCtHEIIan/92eN2HV5/rzFoTqdzBMIxDBiGQfLcxQAhbtW6vk9fdNjwdsAoeo9tA9zUG+ISe8dUxEziZ8IwKlWzih+5NGe8D8V7Yu6citpffmKDRbnfEV4RSFkWIO/imRiG8Vr8AI5A6fRV6wLmd+sNqogIpL+ysVWOvS0QOXYcjJlnEH71NajY+YVoexZdRie0X78pYD9DKoBaITaDARU7P0fowMGwlhS5WDs0qenQpqaxQZmAa6YAb8JnGFnuL+GXWJOSBnPOeeg6dfHlMpoVd08qQgL1x6mJT0DEmJtQufPzlh4KBY74JKkYJW5grj9cYP4kUL/fcmjNY7/Y4cYihVx+peR2gfwZUgHUCinb9gGqf/gOlV9/gYjrXDOpkufMB6PW8ARQc5D0+JOo+n4/wodd63njC0zY1dfAVmfw2L4i0ImZMAnEZELV3l0tPRSKG7ip2U3NAqNQKBcGKoBaIcaG+joAv8ggAOj79ZfV88ofqKKiET1uwgU5l7cwSiWi/NjFukXxNvOHcsHhucDcuZIv7QfD0d/dZ/9RKJQLAhVArRGOu8ouaIDKDayNv/8RFG181aWKLqW1QQVQoMNtZOqunETCQ4/BnJfjt8wcCoXiO1QAtUK4PlViEXSA56wLvXIg9L37XPgu3RS/0pT+VpQLQ1DXbtC2zxDvts2BUakCKsWaQmnLUAHUGuEJIL4LTBhwRsVP6ydy9FiYsjIRcsWAlh4KRQJGpULKkuUtPQwKheIFVAC1RhhpAaQOkC67FP+hCAr22IuJQqFQKN4RuPlpFEm4Vh5bbQ37f3V8AoICMCWdQqFQKJRAgwqgVg63g3PIlVe14EgoFAqFEugQQrDsXB5WZuWDtPEMU+oCa4VwM794LjCZ1Y8pFAqF0jYps1hxzFAPAKi3EwQr/dsDsjVBLUCtEGKsF19Oi6tRKBQKxQ38x+S2bQFqcQG0fv16pKenQ6fToX///jh8+LDkthaLBc888wwyMjKg0+nQu3dv7NrlWiHXm2O2RmyGWvEVdiqAKBQKhSIPa9vWPy0rgLZt24ZZs2ZhyZIl+OOPP9C7d2+MGjUKxcXFotsvXLgQr7/+OtauXYv//vsP999/P8aNG4ejR4/6fMzWBrHZYK+rAwCXis+6Di3bvZlCoVAogY2dE/djbeMxQC0qgFavXo3p06dj2rRp6NatGzZu3Ijg4GC8/fbbottv3rwZ8+fPx+jRo9GhQwc88MADGD16NFatWuXzMVsbdoOBbY0QMqAh6FmhQPx9M6G/vH8LjoxCoVAogcZruUV4NaeQDXjmWn1sbVwAtVgQtNlsxpEjRzBvXmN9E4VCgREjRuDnn38W3cdkMkHHaToIAEFBQTh48KDPx3Qe12Qysa+rq6t9uqYLgbWmCoCjOnD0+EkI7tYT2rR0qCKjWnhkFAqFQmkJrISgxmpDpJo/pRvtdnxf6SiVcnt8NGI0ap7VpzktQDZCUC0ypkCixSxApaWlsNlsiI+P5y2Pj49HYWGh6D6jRo3C6tWrcfr0adjtduzZswc7duxAQUGBz8cEgJUrVyI8PJz9S0lJaeLVNR+F614GANjrDFBoNND3uYyKHwqFQmnDrDpfgAdOZuFsvZG3nO/ucv7buMzWjAagZ8/liY4pkGjxIGhveOWVV9CpUyd07doVGo0GM2fOxLRp06Bw031ZDvPmzUNVVRX7l5OT46cR+x9LQX5LD4FCoVAoAcTRWkdc6DellbzlXHeXHU4XGFcANZ8COl7nED7fVQSuR6XFBFBMTAyUSiWKiop4y4uKipCQIN5QMDY2Fp999hkMBgPOnz+PEydOICQkBB06dPD5mACg1WoRFhbG+wtUFKGhAICocRNaeCQUCoVCCSSqBaVQuGLHQlwF0IUIglYicOsMtZgA0mg06Nu3L/bt28cus9vt2LdvHwYMcN/0UafTITk5GVarFdu3b8dNN93U5GO2FpiGL5O+7xUtPBIKhUJpWxypNuD5rHxUWqwtPRRRqq18AWThCByz3fF/rtXHegHqACkCV/+0bCXoWbNmYcqUKejXrx+uuOIKrFmzBgaDAdOmTQMATJ48GcnJyVi5ciUA4Ndff0VeXh769OmDvLw8PP3007Db7XjyySdlH7O1Y28ogqgQBINTKBQKpXl5MdsRb/p+YSkeSZH2KlwI7ITgcLUBHxaWssuqrDY8ey4PoSolHk1J4Fl4zA2dArhuMav9AgigALYAtagAmjhxIkpKSrB48WIUFhaiT58+2LVrFxvEnJ2dzYvvMRqNWLhwITIzMxESEoLRo0dj8+bNiIiIkH3M1oyluIhtfaEICmrh0VAoFErbpMra8kVn55/NQZbRzFtWYbWhwup4SH64HeFZhMwiLrB6ux0FJjMStRqfxmAnBHkmM5K1GigYBrVWG4x2O2I0anYbagFyw8yZMzFz5kzRdQcOHOC9Hjp0KP77778mHbO1YqutwfknH2VfK3RUAFEoFEpLEAjZQ0LxI8ROgKXn8tjXThcYVwC9lO3Ijn62Qzt0DPbeq7ClsAw7yyoxLjYSE+Ojce+JcwCAjV3T2W0C2QIUCJ8jRQbmvFz2/4xGA0apbMHRUCgUStuFkZjTyyxWfFpc7hKLw+W36locbKjN4ytyurjbBPE9YhYg7ph8YWdZJQDg05IK3vJz9Y119ZQM8FNljc/naE5a3AJEkQnnF6fQ0vgfCoVCaSkYCavG8qw85JssOFFnxLz0JJf1dkKwqsHqYicE/xnqMSUxFkFK72wRchxwwhT3xhggVwEUpFTg46IyhKiUuD46QvR435ZVocJqxcT4aNH13HgibvD1Do44+rB7BhRS6rEFoAKotcD90qjox0ahUCgthdQUnm9yxGj+1VCXBwD+qqnDJ8VlmJEchxh1Y2zMhjxHf0q9Uom7EmO8Or+c9HVho1N3FqBSixV7yx31eq6LCgfDmW/2l1fjh8pqnGio6zMgPASpOq3LMYz2xj7zFongaqOdYGdpObaXVGBgeAgebhfPO9eFhs6krQSGUXD+HzgKmkKhUNoazlswIQQ1NjvCVNIhCSvPO4rXzj+by7OMOMk3i8fyuDu2HAFk5ggSx2vXXmBOKiyNNiUrAdScKeaNfH4j8XrBcZ0443/cbXPP8UzWMXeoqhZ3JsQgqgVbZdAYoNYCV/NQAUShUCgthjOwd2tRGWacOIefqzzH9IiJH0DaWrK1qBwzTpzDTyLxQnIEkMku3wVWxqlrZCHi4sWJ0UZwqq7ebRxSrU3cSSfcw34BCjG6g1qAWglEQlFTKBQK5cLifAT9vKH1xNv5JRgQHsrb5rzRhIIGl5g7hMLIbLfjp6pafF7qiJ3ZlF8CMyHooQ9CbEN6uZz6PUbBnFFrc7wWa39Ramkcp5kQBLs5rtOi9UBynOQ2NVZ585WZCiCKLLiKmlqAKBTKRQwhBF+WViJJq0G/MH2LjeNkXT3+rKnD/2KjoOYUtBHegutEHlCfOiOvp6RQAH1SXI4vOD296ux2vJ5XjASNGms6pwEQd2MJEQogZ+0iMUuUUxwB0hYpIQfc9PhyZod5QmilutBQAdRKIHYqgCgUStvgeJ0RHxaVAQC29ujYYuNYkumooxOkUODG2Eh2ufAObCNArY/FEYWC44+aOtHtCs2NVhpZLjDBNlVWq6x9uQLpn1rxsQCNzU6bgtmDu625oTFArQQSAJVHKRQK5UJQZHZ1HZntdiw8m4OtRWX8flY+WBG83SfXxA9UFtMQu8qrvB4HAOSYzFhwNoe9Jq2M0snyYoD44uJ4nRHbiso8Wni465dn5Xs8T1Mwt7AFiAqg1gLHAsQo6MdGoVAuXoQZTADwU1UtztSb8FlJBab+l4lPisuxvbgcd/53Fr9UeS6yZ7LbUWq2YF95FSb/dxZHawxejYkbsPtbjQElApEmpzihFGfrTTjVYFHRubm/72kQWb4EQQOOgoVSwdhOLmRcDhVAFFkQiah6CoVCuRDUWG34s8bgt8ydUrMFxyRcLGKTtEVQaO+T4nJ8XFwOAFiTU4gThnre9lY7wdEaA+ob4ltmnc7GzFPn8WZ+CewA1jQUJJQDAfB+QSlvmTDOpanp3EdrDLDYiVsBtCm/BIA8AfSrhCj0JIA8rfcnF/JcYlAB1FrgBKnRGCAKhXKhWZSZi+fOF+BbH109QmaeOo9lWfk4LhAuAN8y8HVpJfJN7vteAcBngnYMW4vL8Pz5Aqxq6ODOTfUGHDEymfXy4lgIcXVxWQlBF07/LFsT5/IvSivxYVEpdB5cYAabTZYAOuqFuOStb7C+iVnh/M2FOIc7qABqJRAb98dLBRCFQrmwOINwf3bjbtpeXI7vONlBX5ZWYJeHjKC/RSbqTxosOwDwfmEpZp3O9vjcJxRJ+xoqG/8rIrCczD+bK7mOj6tosNoJbwIV9t7yhW/KqvCTB3fe8qx8WQLISbJWzXvtMQao4dj/uXnf/EVLp8FTAdRK4NUBovqHQqG4Ic9kxjPn8vCvmyweX5Gask7XGfFxcTleb2jxUG6xYkthGd4tKHU76QrjQKqsVvhiFygRWHia+zZpJYTXk8udKGmn1WBJ+2S/nDez3uRV7EyeyYKlnHPLjQE6XO1djJQnuuuDXM9F0+ApsrByftzUBUahUNywLqcI54wm/Geo93sauTDYt85mR5CCcbHA1HDiFk3EDjXE20UIU6G5NWm8GhccLhUFGKgEbiR3WV9flVYgVKnE/xWVIVmrQYnZguUZKfihstGSJba3lfADo/+tlbaYDIsMwyX6IHQI0iKT0yndV84bvTtGolbD/l+YHSbEKVYLRTLxmsItcVE4di6Pt6yl0+CpAGolcIOgpToRUyiUto3JbkeByYJKq9Xzxg1Y7QTZJhPSdVpZnbq5U1a+yYxZp7NxRZgeGUE63nbcKshmO4GE/nHJVjI0IeFj+olzCFEqsa5zGu8uaXQz0X5QWMb+v9LqEDGzTp9HDUeIiQsgAu7Q/3JjbVM2DGZx+2T8UWPAqzlFbq9DSKpWg1qbDeUN5VC2C+KdPKHmfK5SfbqcOC1ExX4WQFqR71ZLW4CoC6yVwC+E2HLjoFAogcsz5/Iw92wOKryoG7Yutwjzz+bia5nVe7lT1t6GwODD1QZkCawSa3Ias6yyjSb8WlXLWo+OcNwrwnR0g4QFSM5tz2QnKLNYXQKSvZ1oa2RYoRwuMHnHVTVM/jqFAr1D3DWaECdUpcS6Lum8oGtv4Aqg80bxgPKMIEeHd5OdwNLwPnrDhLgodAjS4nKRyt29Q4LRPojfQV6vUEDZwt4MagFqLXCeirQdWq4yKoVCcU+dzY6dpRUYGBGKZI7r4UJw1gf3yi/VjqDbL0oqcUNMpIet+UUAtZyUbW5wtDBV/rnzjkysdJ0GN8REYl1uowWkxmZHpdWKCJVjOpISQN4gjHM5KNJQ1Bt+E4mHsQgsQO7gTvTBPtRxYwAoGAZxGjVOelGB+fIwPUZEhrEWKHckazU4W29Crc2GfJNZdki3EsCt8dG4KTYSt8RF4Wy9EXU2O7LqTTA0WJvmpSfx9hkcEYqH2sXLvo7mggqgVgLh3BRiJk1uwZFQKBR3fFBYiv0V1fi0pAIftmAbB2+RW5OFcKZGqZo1e8vF+0RlGc088eOkxmpjBZBUJ/FtRWWiy8WwEMIzGX3oxb6SxxOQZTTJFmtc7x8jsHoMCg/FQQ/d5J390KJU3k3ZT6Qmsv9XM4zbzzi+odFqldWGzYWlktsJmZoUi2ujwtnXGUE6LGqfDLPdjk9LKtA31NUipAqQOFYqgFoJzjT4sCHDoAz23oRKoVA8szG3CCZC8Ei7eJeJSi4n6xxxJN7YMSqtVrx4vgDDI8NwDWcyESOz3og38kpwR0I0espwp9gJkRXbIze1mntdUjVr3i4okXUsJ4syc2G0EwyPDMN+iSabctxSTj4oLG32SAFvLFXuJnyNm7o/fUKCcWV4CAZHODrNe6oR5A5PAjdM5ZBpFRYrjtfJT4GXsmdpFApMjI8WXacKDP1DY4BaDc7ANaVEJCGFQmkSJrsdBypr8HNVLUq9jH9oKp8Ul+NsvQlv5ksLhyqrFWa7HSuz8pFlNMnu0/TQySy8JmJ1ESJXAHE389eTvLHBlyQlfsRI12kl1/1QWRNQoZJSsS46BQONxLqRUeF4IjURV0eGsfsHKRun7AxOTM3LnVKbPMbwBgF0oq6ejaH6X6xnl6gvcTyBYgGiAqiVQBqyOhgFFUAUSnPAndgvdHKuWN8mLsVmC+47kYWFZ3O9soQAQIXVhu8ra2C1E/xdWyeZBi035sNKCP6prYPRZm9y9eOmMCYmAmOiI1puAF4gJRKStRrJrKzOwTqoBRafwRGhiFWrMDwyjOd+jNWohbt7xaT4aFYA1Td8FzsFad225XDii4gIDZAHeSqAWglsIURVYHxxKJTWxElDvWRvJCf+qOTrK55+1b82BCpny2gJIcXnpRVYkZWP13IdhQqNdju+LZNua2EnBPvLq1zq+xSYLVielY8Xswt4tXL8TaSHe52aYRCilJ7CWjjDmocwCHlOaiI6BenwULt4BEtcg03EIqdXKvFq5zTMSI7jrffWosLNRLs7MRY3xUYiRPBwHa/RyOpvFu7FnDQtMQbd9UG4PkCEK40BaiVUf78fALUAUSi+sKShANvLulReUTguXGvGha7Q78mNUGttuk3K2ZLCmfX1YWGZ275e+yuq8VaDS06smOKxZmyVMDs1Ee97iCPyNOmbWrjIHhfhWPuG6dG3IbB5THQEaqw2HBQIdCnrmjM2zZPLUipeqEuwDvPSk3DCUI8fKmswqCG+SCvYPlqtxMDwEJyuM2K3yPdkckIMyixW9PIirX9UdARGBYj4AagFqFVgN5thr3VkCZjz8zxsTaFQuHBTsqvc1Mfhbkea0RpUb7PjxfMFvNRsTwLIYPe9OKATrpuEEILfPbQ6OONFurW/iVYrPb4nag/rrV58hFJxOP7C3bXEaNSiKeHtg9yXUPDkfrxWIpje6dbqqg/CjOQ41gKlE1iiItUqKBgG05Ji2QwxLsMiw3BXYozPyQKBABVArQC7ofHJIOTy/i04Egql9cEtgucu44YrMZoztuWr0gocqTHw0sHF6rQUmS149NR5fFtWJWkBOulFtg63BYMj5sj1Iu2EsB26W3Jii9OoPQogTy0d5BKpUuI2iWwlf+GpDg/DMDxB5ygc6L7ooZiLDHAUJJyVmoBb48SvKUgirkcY7xPNcX+JDV9ObaFAhwqgVoDN0PikFjpwcAuOhEJpfRg5E6W7SZU7oUhNLv5ALIhZbFzv5JegyGzB2wUlku0hXsgq8GkM5RKtMlZm5ePhk+dRZ7N5jEtqTvRKpccJtrPet6rIQvqG6b2KY3HHzHbx2Ng13WW5SkZOGlec9wn17FaySlgpo9QqXBEW4hJAfV10OBgAt8SJZ3apBCIshBOoLCaaWrqKsz+gAqgV4LQAqeMTwPhQRZRCactws2x+raplLRxOKi1W/F5dy6uT0pSAaG6vPjEhJfo0zfm/M7aD20xUKt7DXY8rd8w6nS16hf8Y6lFls+H3aoOs2kHNgVP4uHUbqVVs4cSmwsB/adntg7SIUKlwR3w09ByXkhyxwHXDyRmPsMHr6OhwtNdpcVV4iOj2UxJi8F63DkhxUz6AGzfEFWQPtotz2fZimIloEHQrwF7nsAAp9K4VNSkUinuMnIliR0kFqq023JvceEOfcyYbNTY7ro9ujJloiguMGz9kthMECUwZYlMbV2yY7QQqJeMxNb45MdjtvAlO2AG+OYlRe07plsqc8hV/CaCEhliZsbGRuCYqHHcfzwQgr8SA2ksBJLQJTk6Mdbs9w0jXHHKiUyhYCyV32xSdFkrBOVtz7I+Ti0HEXfTYah0WIGWwuLKnUAKFKqsVr+UW4ZQXsSnNjVFg8dlbUY1qTjC084bPbdAptyigGNxdRTORROYN7o3Y3LCPcNxiNGUKcneF1VYbuPNb00Ow5RPXEHvC/Qye7dCOt42nAGhvYMD4TQBxLT3cMdplSKBiTvFNOdfXHG5abhyQcAyBk1PnP6gAagVQCxCltbApvwTfV9ZgcWbgZCuKCYktIr2OuFYYYTNPbywgXFfagYpqLM7MRanZwi4Tm9q4AsMZtC0nyJcBg0+Ly7EyKx8WLy1G7lojVFisUHhw5TUXoxoscdxz6gUWn6ZmbQ0UuImE8TJSSHVjvz0+Gi915Fdj5rZ78NaYJ6cvW7MLIEG4RQCVVfIbLS6A1q9fj/T0dOh0OvTv3x+HDx92u/2aNWvQpUsXBAUFISUlBY8//jiMxsZ0zaeffhoMw/D+unbt2tyX0azY6x1P04og2gOMEtjkNqFQX3MhJoCKOYLECXcK5KZQH6yswb0nzuFYbZ3Hc9XabLzJa2tROU7VGfFxcTkAh5CqEUnF505mTiHDzV6TmnwICLYVl+Ov2jqszvYuINpdLyszIeBqAl8nW196V/ULc4gTbiyVXlA52JNgae8mzgUA7ue4QBl4LkQJAN30QeiuDxJdNzwqDO10/LR1rsupnUTtKSkqZLRiaYqVUgpuLSB/WtkClRYVQNu2bcOsWbOwZMkS/PHHH+jduzdGjRqF4uJi0e0//PBDzJ07F0uWLMHx48exadMmbNu2DfPnz+dt1717dxQUFLB/Bw8evBCX02zYGwSewsOPmkJpaS50AUEhZ+uNPPcWANSLBPSIBaVy59RiS6NAWpdbBIPNjpc8CIyjNQbce/wcKkUEjrnhjdlcWOpS8A7gCwyn28zEWSYlVbhC7agMgSYXi53wLED/+Vj08EGR+jbu6MC5x3Ezs0IFFiA143itEUkK2dAlHbNSE3jLLhVkVXH3Y8B/r4UVqEdEhiFGrcIDyXEYFR2OcKUSyVp+nJJSwhn55iXt8dYl7Xk9vOTgbH7qDm/qHMmF+7sQWtm4mWBXhl0c4RgtGgS9evVqTJ8+HdOmTQMAbNy4ETt37sTbb7+NuXPnumx/6NAhXHXVVbj99tsBAOnp6Zg0aRJ+/fVX3nYqlQoJCQku+7dW7GZH/Q5G65+0TwqluWjJOIHz9SYsOJsLvUKBTd06sMvNInE4YjEf3Al/U36JSyG5ejd+jCqrFc+flxZIYQ0WjK8FrScIIWAYhhd0XS9imSm/wM1Zf6sxQGdoFFQvZRf6dBwt493EH88RFhEcISIMuHUGG18TFYbD1bVI0Khx3mjGzbGRiFKrUMd5D6NUSsxJTcTcMzmirUQi1Sp0C3ZYdzoH63B9dARmnDjHrr83OY79nADgta7pOFtvwqLMXHYbKYOUVqGAt4+tl4fqZfX2ag4XGDdeX2hlW5CehE35JbgzIRrdJCxhrY0WswCZzWYcOXIEI0aMaByMQoERI0bg559/Ft1n4MCBOHLkCOsmy8zMxNdff43Ro0fztjt9+jSSkpLQoUMH3HHHHcjOznY7FpPJhOrqat5fIEFMDgGk0FILECWwaY5sIUIIPi0ux9Ea95WLM42O34nBbue5mcRcBWIWIOEiYRyQkLP1RmwtKoPJbkex2b1AkZognU/x3MlMzDV1obvTA/zsOV8RtlcQEqZ0tFuYnBCDQeEhmJoYw667xM0kOz4uCoAjZmVph3Z4oF08nuuYgisbYnuCOOednhwHBcO4fL5PpCZgSEQoro8Oh0rBYFH7ZEyMj0aYSomJDcd3jocrwBQM4+Lak7IAecPi9skYGB6C6cmuKedi9AhxvD9xMvp1yYV7HcLfSMdgHVZ2TEH3kOCLIgMMaEELUGlpKWw2G+Lj+SbS+Ph4nDhxQnSf22+/HaWlpRg0aBAIIbBarbj//vt5LrD+/fvj3XffRZcuXVBQUIClS5di8ODB+PfffxEaKm5WXLlyJZYuXeq/i/MzrAuMWoAoAci5eiO2F1dgUnx0s1iA/q6tw7aGGBqxnlROuB2mp584h3ClEgvbJ4kGBzufdLkiR/g0aLQTBLupxrfgrMMCwADIMbqPfZISE1ZCoAbDC4J+Pb8Y540m0e1bG54EUIJWjUdSxK31wyPDUGuzsUIoQaNGodmCW+OiPLqUuBN0nIQ15fKwEFwu4coZFxeFcQ0iSAxh1WQfQp1c6KYP8sqy8lC7eHxbVoVhkWFNP3kDF0NxQ29oVXWADhw4gBUrVmDDhg3o378/zpw5g0cffRTLli3DokWLAADXX389u32vXr3Qv39/pKWl4aOPPsI999wjetx58+Zh1qxZ7Ovq6mqkpKQ078V4gdMCxFALECUAWZyZBwshOGc0NYsFiJsebCdEskCf0CVQZbNhRVY+hotMECqGwXFDPdbmNLp2FIKneKPdLllvhttZ/my9EX/Xuo+REXNrAcCq7AIEKxW8CdVgs2N7SYXb4/nClWEhbCPUC4VYjA4Xd9OtgmFwc2yjCFnaIRnHauslRYuQFzqmoMJiRbKXAchyEFZGbomikeEqFSb4uYWHP4Rca6LFBFBMTAyUSiWKiop4y4uKiiTjdxYtWoS77roL9957LwCgZ8+eMBgMmDFjBhYsWACFyI8tIiICnTt3xpkzZyTHotVqoQ1gcWE3Oy1AgTtGStvFmfVUZrHy4jZ8odpqgwJACOc4XF1jsNkRKnEOsZiICquNDUDmomIYLD3HT9UXZosZ7XYXQWe1E6gUDF7mCCc5RRNzTWZRl9q/DcHFUtlF/mJ1p1REqlToGKzFB4VlPh8nQqV0CfJO12mQJWEB85RJ5E0MRrhKhYEygoOdpOq0SOUEVftTmgstQBcL/qqH1FposU9Ro9Ggb9++2LdvH7vMbrdj3759GDBggOg+dXV1LiJH2WD2lnryrK2txdmzZ5GYmOinkV94qAWI0lpoigHIYieYceIc7j1xjicWuH2w3HVzl0oLPiISOyR2o88XpMbnGM0u9VgqRXpoyQlGzTWZccJNd/XmSGnmkqTVIEipwA0x4n2g5LCucxoWtU92Wd5RojYO4HlCbal2G01FpWBweageHYK02Nwto6WH4zcuTlknTYte76xZs/Dmm2/ivffew/Hjx/HAAw/AYDCwWWGTJ0/GvHnz2O3Hjh2L1157DVu3bsW5c+ewZ88eLFq0CGPHjmWF0OzZs/H9998jKysLhw4dwrhx46BUKjFp0qQWuUZ/QGOAKK0FORVvAYeo2VlayctuquYInY+Ky9meXVU8AWRFhcWKnaUVqBU0CJWSRvkm15o/cgrNvZxTyKvF4zi/61ncCRsuP1XWSK5rqbYXcicABkCMRi1agNCdlcefFqCmkuJnV9gTaYlYkZEiu4hia4DGAF1AJk6ciJKSEixevBiFhYXo06cPdu3axQZGZ2dn8yw+CxcuBMMwWLhwIfLy8hAbG4uxY8di+fLl7Da5ubmYNGkSysrKEBsbi0GDBuGXX35BbKz7PimBjN1E0+AprQO5QdBv5pXgl+pa7CuvwurOaQD4VpDPSiqgYhiMj4viZXTV2OxYmZWPbJMZxw1GzE5rtOx6kxb8oxsxwkXoPqtwY4HyxEk3QklO24vmQKtg3Kb3O3FuITZBVlik3xOPAugCTrhTE2OhVyoxNFK+G62t0SlYh30VgZUF3Zy0eBD0zJkzMXPmTNF1Bw4c4L1WqVRYsmQJlixZInm8rVu3+nN4LY7dZIKtxvGFVNJWGJQAR64h448GtxTX7STs0n6iIT6Ga60x2+1sLZffBa6t5nAjFQncYpVWq89ixV2V7JYSQBqFAvV2z6Lu2ihHILmYS6tQpKq2E5UH68iFtACFqpS4O6n1PghfCIZEhMJsJ+iibxsP223N5dfqMJ4+AdhsUEVFQxVDf7yUwEauC0zswV/obmIAGG12nmXHXfXb5igMVyAQLbU2Gw6LVHJ2R5pOA72HoNkLKYD6hzU+SMnpqdU1WIfbGrKNuP2tnLVwxsWKxxV10wd5bDFxEXmPLgoUDIOR0eFIayNdB6gACnCMmZkAAF3nrhdN8SnKxQtXg5S5Kd7H/Sb/0GByNwkEzD+Gekw7nokjNY0VibNE6uNUWKwoNFmapTVAniB+qMZqx3kPNX+EMGAQ6aFYXVOKDgpv4r1DgvFqg1tRjEdTEtA3NBhBCgX+56bWDfd4zl5cXAvQvUlxWNMpDf3DxdPS56cn8e5ZPfVBeLVzGuI5dXmEpQcolAsJFUABjjnXUcVamyp9Q6NQAgWuBeihk1mSVhluo8sNeY7ef2Ldz4V7f1te5bLNAyez8Njp86IZWk2lwMwXO8fr6vGbl7V07CCS9YT8gTDOZm5aomTxP8DxlD8nLQlvXtKebSnhDm6cDjcGiIGjkKEUQneZTqFAnEaN1Z0au6ZH+7GKMYXiLVQABTjmAketEk1y4BRmpFCkEOqdnyXcRWLP/WIVmz3BFVhZ9f6rnuwsnijMIMusN/EKM8rBToBgP9eNeYjTZFQYZyPXUqxiGFEX1PXR/B5oUtWyvf20uIHUc1ITcWVYCCbEe7ZAUSjNBRVAAY6txpGtogyPaNmBUFo9VkLwel4xDsrMgJIL9yYitOGsyy2CGGJTtNAFJgdu7Mxxmenocugd4ugeLgyC9gXSDBagKzhxPJ56lrlDzAUlzPTifqZcceXurGLZX4SzR98wPR5LTWBdaxRKS0AFUIBjNzieoGkGGEWItxPfwcoafFdRLSlKfEUpc1LkIZgfN+QWYb0P43ritPtGx74wIDyErfTrj7AibyxAV8uodJyq0/CCl82EYHSD1WaEl32hxEaVJHCLSbkxucVnV2S0w5zUxpIEwmahgPwMQQrlQkEdsAGM3WwGsTieQBXBVABRGik0WbDgbA5GRYfjVpn9gGpsvtewcYeCgddKQTjx/uCjVUrYlsEfPJgcj8x6/1mT7IDH5p1O7k2OQ5BSgW/KXGOdAODZDu2QqFXz3VwEuD0hBv3DQ5Ch8zJ9mXOY9V3SUWuzoU7Qt0xOq48OQTqA081DKyL4WibRn0KRhlqAAhh7XUOdE4aBIqh5ewVRWhfbistgsNuxw4ummcpmyrjxdNzmSE9vTtQKxmUCd9MU3iN2QqCXKYBUDIMuweK/9b6henQM1rm4jXQKBbufp7o7QrijClUqkKbTolOwDmm6xqrJNgl1667RaSwNbqa0AqgACmDsBocAUgQHg7lIm+9RLhzNVXPFkziwEIIaqw27yipR22CxudDpz2Id4d2hEbxZTQliJnDUxPHEHQnSlrwHkuMwJ028n6GYtUUu3Gw852eiYhg8l9GYdCEUsBPjonBpSDD6hblapWenJqBLsA4PcIK0nTQlVolCaQ7orBrA2OqcAoi6vyhNhxurU2y24N2CEjbIt9JixXsFJchzU+Pmt+pafFxUhhyjCe8WlKCqIe3cUzsDq51gS2Ep3i0oxQvZBY6FF7j8i7fiT9jtO6gJIsNOCDoHB2FyQoxbITTWTaNSd++xrgnmKe5hue8R18UmjN0ZFxeFp9KTRKtC9wsLwdIO7UTT8Kn8oQQa1E4ZwNgqHe4NZah3T6+Uix9vHqZzjWYsysxFPSdjakVWPgrNFvxZU4c1ndOwPrcI/xjqsb+iGu9JdLdelV0IANje4HbLN5kxPz3ZY7VfMyE4WusoZniqIVPrQj95eev+E1qAgpQKwMeEMOe7PjomArEaFf5raPHBZRjHQkVEpILY6NvrtDhnNGFYhO/3hyhV4xQg9Q5JucDkn0OJcqtN1GJEobQk1AIUwJhycwAAmuR2LTwSSmtmXW4hT/wAjf2bnP+eagj69aYr+d+1joncowWIEHQOagzOLfdQR+fyUP9MlIncisMiQxwoUcEYAHQM/9YotAgBQLiKL/2kMrC4YlWs1tGA8BBMS4xhXztjgNQMw6aTdw12DW6el56EJ1ITMDomQvS8zno+/5NoVQE4+mMt69AOz2ekSNYPamr21sqOKZidmoiRUeGeN6ZQLiDUAhTAmBsEkLZdqoctKRRpqmRkSnEnuVyjGcnCTCM3iHUI52IhBGqOAjlmqOfFngjJCHZYNkq9LDgo5ProCGwtKkP3kCDRmKMrw0JwSKJQo5JxPB06ZaOYC0y45O6kWOwV6aTNrY4tpiUGhIfwAoqj1Cqs65zWUDuIgcFmQ4yISylMpcTlYdIi7q6EGFwTGY5kN9WaAUcHcHc0NXYsXKVCvzA61VACD2oBCmDYGkC0CGKb5p/aOpemnN4QKqPYHDdAdfaZbPzYkJZ+us6Is3VGtwGsno5utRNeo9NKi1W0GaoTFcPw+kX5SphKiY1d0/F4SoLoJO6uDQPD8DPBxNp0cEXcjKRYSUsYV1xeHqZHe52WrdsDQLRRaoxGjWClEsFKBWJ9fC8UDIN2Oo3PPQTvSohBkkaN/8XSas2UixMqywMY0nDTpRlgbZesehOWZ+UDALb26MguF4sTkSJEpQQ8dIkQ2oh2llXiyvAQLMrMBQBs7Jouua8nF5iFEJiJnffa3R4qxp19yBUtw0hWkXZaVsQsQO04qd6eEDZFBfiWkeEN7h3uWLQKBiY7QUZwY2dtjUKBlR0dGVbhKhXyTGZcIiNDrCUYExOBMRLuNQrlYoAKoEDG+dRJBVCbRaz7ubeE+NCGQadQwMApiLfsXJ7odm/lFSPXg3XKQvgWIIuHCG5vBdAl+iD82RBkHadWifbqErMAeUof57bZsBBXC1DnYB1KBS60aLUK+Q1xVSsyUrC3vAo3SWR33eQmNodCoTQ/VAAFMKwFqBk7SVMCF0KIi4/aTghezinEb9UG2ccJ86Hfkk6h4AkAMQsIANGYFyFbi8pwktOny0qI27ghFcO4dZE5uTYqDO20GkSoVKwAuicpDivP57tsy20dMSk+Gn0aen31Cglig7mFaBUMjA3CrV4kEnhwRCh6hQSjIyfAmyuAkrUaTEmM9XwhFAqlRaAzayDjfOpk6MfUFnn+fAE25BWzr6utNvxVW+eV+AHcu6ik1gQpFOzk31ROCpqUWmVYgMRcVqMFXcrvSYrDqOgIXoA1N32d6yYM5WRsDY0MRVqQwy01KzURUzgZWAM4mWHuYoSc47w6MoznShsfF+VyHAqFEphQC1AgQ11gbRYbIaxVw8mME+e8Pk611ea2r5VUDT2dguFZgPyJhRC37TFUDIO7EmJwOjMXBs4YJsXHYHdZlUu8Ercgn1hxPoBvBeOKK51CgeujIzAgPARWO0EUR/Q8kByPhQ0xUI+0i8ergmatYufqog/Ca13SXVLkKRRK4EFn1gCGBkG3XTzFycjlkVNZOFMvHUdkJUCdSJPUX6trXZpi+guznbAp7jeLxMGoGAbJOg3evKQ9zwqjZMTr8ag5QoT7f+47GMIRJGKiL0KlQoxGzbOWdQzW4cPuGfiwewYGRoRiamIMzy4llR4eqVZ5DAynUCgtD51ZAxlqAWqzWP3kfpLjxpp+3NWyVG8n+Kas0i9jEHKoqrHz+1XhIYgUWEtUDdpBKCIUDIPuIY6MqRiOMJJjAQrlxNF504dMwTDsOK6LjuD1yGqu5rIUCuXCQF1gAQy1ALVdvLEA2QnBP7X1+L6yGnclxCDSy07cUmUS/xVp2eAPrJxLC1UpXUQL97XQVXZvUhxStJUYyqm6rOLszt23nbYxNidGrRbdxlu43dY9FYCkUCiBDRVAgQy1AAUEO0sr8UNlNRakJyPMj7EdRrsdy87loVdIMCbG8zuBeyOAbATYmFeECqsNWfUmrO6c5rcxNiepDRlcQkGicCOAwlRKTBC8V3wLEPBixxSUW6xI1TXW3wlSKrC0QzIA8IKmvYXrYmtCD1IKhRIA0Jk1gCFUAF0QiswWt0G5mwtLcd5oxqcl5X497+GqWpytN+HThuaiXLwTQAQVDe0unCnYgQDXTTUyKhwT4vgVhZ3NMYUCiPvKU8YYwLfEqBUMUnRa9BbpJ9YlOIjts+Ur3LFSFxiF0rqhM2sgQ11gzc6RagMePXUeL5wv8LitvwKTnXD7PwmbZHoTA9TUbt3NBbeBZ6JWjSRBTyp9Q2aWO5eUVcalcfduintLDlwLENU/FErrhs6sgQyhFqDmxhno+5cg5VwUicm42GzB16WVXqeNB3FcMRVWfvVib11ggUh6UKMLSq9Q8MUDAH1DYLJ7AeTdxQnP4W+47jM/62EKhXKBoTNrAEMarAAMLYTYbPhjDpt3JgfvF5Zia1GZV/txg48rLE0RQPxt3y8oAQmA2TlYocCC9CTcFBOBQRGhLkLH2aIjUWAZ4m4l5yr0Sm6K+4WzANkD1PJGoVDkQYOgAxkaA9QqcBbr+1eipYIUXOtGtc0GOyF4JacQaTotOnHcR54QWp6+LqvCoIhQdAiSf4zmIFipRM+QYPRsaDshlAtO4TIwPAQ/VDamxnvbCT5MpcSs1ARoGKbZBRD3+JEqevukUFoz9BccwNA0+ObH7kdLSb3djldzClFosuCZjHYe41G4lhsbAf6prcev1Qb8Wm3AnNRE2eetFSlYWGuzY9bp8/IH3wwECbKtTIK4JmfV5T6heixIT4JGwUAFxus0fgC4IuzCtZ5Y1SkVZrud116DQqG0PqgACmSoBShgIYTgnNHEqzVTZrHiUEN38F+qajEoItTtMbgBvlZCeB3Hz7hpXyGk2upayWdrYRnyBQ1MU7Qa5HA6t4cplagWqQLdVGLVKhA4urS7g1sA0Wklag0kcz5zCoXSeqEzawBD0+ClyTOaccTLpqBCCCE4XidfaHA5WFWL+Wdz8XJOoej6dblFHgN4uRYgOyE8F5FYarwU9SLB15lG1/YX4+IiMTKqsaHoq81QL6inPgivdE7DK53TeFluAHBZKF/kCNeL4azgTHtrUSgUf0Nn1kCGusAkeeJMNl7MLsDJJlQrPlIjI/NLAmdNoKNujmF2k8pearbg/zhB01YC1PvYe0tu9pkCDCbGR+HKsBDMTk2EVsFI3gCSvIzDAYAEjRoPtIuHQiIWR6NQYHpSrFfHXNg+GZeH6bEwPcnr8VAoFIo7WnxmXb9+PdLT06HT6dC/f38cPnzY7fZr1qxBly5dEBQUhJSUFDz++OMwGvlP8d4eM2ChFiCPiFk65HLM4LsAEmZteeL/CkvxBceqszwrH1Uc15UNRDSWRw5v5ZcAAJK1aqTrpN0zCsYRePxYagL6henBMIxoc9F2Wg1Gx0R4PO/VEaEYFN4Ye/NEagKvm7oYQyPDcEtsJJ5un+zx+ACQptPiidREpHCqOlMoFIo/aNGZddu2bZg1axaWLFmCP/74A71798aoUaNQXFwsuv2HH36IuXPnYsmSJTh+/Dg2bdqEbdu2Yf78+T4fM5Ah5OK0AB2rrcPcM9k446P7SYivgczC+jm/V9fK3rdeRqFCZ5p0vsmMz0sr8WFRGTvWAkHFZhshqPOyjpAQNaNwWzhQrHKxTqQthJUQBCs9f+fuTIxBkJdNRlUMgwnx0ejqIT6IQqFQmpsWnVlXr16N6dOnY9q0aejWrRs2btyI4OBgvP3226LbHzp0CFdddRVuv/12pKenY+TIkZg0aRLPwuPtMQMa54R4kdUBWpaVjyyjGc9m5TX5WN9X1ODu45k4JqeQoQBh/ZyXssXjeXzFqZEMHMtOgUm8VYWNAIYmBiSrGcZt3JFYCyytiLi2EQK9wjXmplOQFnEcC48SDC/TjfYGpVAorYkWm1nNZjOOHDmCESNGNA5GocCIESPw888/i+4zcOBAHDlyhBU8mZmZ+PrrrzF69GifjwkAJpMJ1dXVvL+WhhDClpq92CxAToxetHvgwi3yl2U0wWgnPokXsf5f5iZaYbg4LUDcGJ0nzmTjP5G4JTshqPPRBeZEo/AggESWibnAbISwRQq5hKlUvPpESoZfxfni/JZSKJSLlRa7Z5WWlsJmsyE+Pp63PD4+HoWF4pPZ7bffjmeeeQaDBg2CWq1GRkYGrr76atYF5ssxAWDlypUIDw9n/1JSUpp4dX6AOxFfpALIV8SqJPtSlVfMXdRUEcLFqe9qBJadL0QyvHaUlON7TjFAX1AzjNumrgoRE42YC8yGxjYVADA2JgJdgnWYlhjDc3IpBcHODDUBUSiUVkSrmlkPHDiAFStWYMOGDfjjjz+wY8cO7Ny5E8uWLWvScefNm4eqqir2Lycnx08jbgJUAEkill1lshNsKSz1qneU2LZmN/t/X1mDnaXy09Od8T61Vr6oEjuDp5giOdJCrWDc1tPxxgLEbS9xZXgIlnZohxiNGiWc4G8FqAWIQqG0XlqsEGJMTAyUSiWKiop4y4uKipCQkCC6z6JFi3DXXXfh3nvvBQD07NkTBoMBM2bMwIIFC3w6JgBotVpotYGVZUI4AuhidYH5grWhXYQYX5ZWIkatwqjoCFnHEuui7k5AWQjB5sIy9AnRyzq+8xMUWoD8WX2ai5phMCUxBn/V1vEyzJyIWYAkY4A4FiCu4Lw8TI+TdUZ0CtKBYRhebyxq/6FQKK2JFptZNRoN+vbti3379rHL7HY79u3bhwEDBojuU1dXB4Xghq1seFIlhPh0zIAlQC1AJj/GyPjCkWoD/nFT+6fQLB5kzIUQguXn8vCbSCFFi8ASIyZWiiyez8HdN49TfRnwrtGpN2gYBnqlEuPjokTXK0UUingWGF8scatdj4gKx+zUBCxpSGPnxgqJCSwKhUIJVFq0FcasWbMwZcoU9OvXD1dccQXWrFkDg8GAadOmAQAmT56M5ORkrFy5EgAwduxYrF69Gpdeein69++PM2fOYNGiRRg7diwrhDwds7UQSBYgQgjyTBYcrTVgS2EZ5qQmom+YPCuIvxGreuwtJRarpIgSihMxz9RruUWuC0VwjvSYoEnqiSam/98WH4VPSypcems5KytrJIQII5YGLxLs7IwjeuuS9jDa+D2vdAoF+nH6boVyXGWBI9MpFArFMy0qgCZOnIiSkhIsXrwYhYWF6NOnD3bt2sUGMWdnZ/MsPgsXLgTDMFi4cCHy8vIQGxuLsWPHYvny5bKP2WoggWMB2ldRzRbbAxxtHt7p1sHr4xSbLS7WEG/xtgChGO7ezTP1RnTkZDqJBVfXyAyUthNHVlmVn/ttRalUeLNrezx1JodXT8jpjlKL5btD3JqlFSmx4Ly6EKUSIUr3LShCOOKIGoAoFEprosWboc6cORMzZ84UXXfgwAHea5VKhSVLlmDJkiU+H7O1wLUAtfTMIsxa8jVV/JFTTe9OXiES2+JP3i0oxciocNadIyyW6A12NL24oRgKhoFG4Vp20Cl8pCxAYiOREkty4brAxCxMFAqFEqhQq3WgwhZBZAIuvbh5JYh7CjxYkOToFXfVkgF+HJEv6fXsvgTYXVbFvh7ioTu8XKR+tKwFSKJwppgFiLusU5AjEaBfqHz3pt6DhYhCoVAClRa3AFEkuIj6gBE/Bf1a7AQnPcXPyDiVWPYXlxyjGUkNgb8+1moEAPxfURn+4lSofrBdPAw2m9smrGFKJapFXGYjosKwp9xRoFMq2NiZ0q6RcoF5WDYnLQm/VtdiIKe/lyfCOQJI20RrEoVCoVxIqAAKUMhF0gneTggWZuaKVhb2lnKr1W2dHrm4KxYIACWcLC9PYskdf4m055CyzjhRSWiIG2MiWQEkJTNiNY6fs6QLTORSuBagMJUS10aFux2fEJWCwepOqbAT8ZR6CoVCCVToHStQuUgsQHkmMzLrTfi7Vjzr6kydUXYPLGeNHr1SgTvio30ek6e4Hm416KZYgMTwZCVRSogXXsFBiUPEq9WSx0jQqNFNpAGpP0RLklaDdm660FMoFEog0rpn14uYi8UC5Ek/LMzMxVNn5FXedlpuVGAQp1H7dD7ucaTgBi77u2ihJ8HBFTpO91KkSskTPc7wZ+HInBYgYdySAsDqTqmiAc/XR4ejU5AOkxNiZF4BhUKhXBzIdoF50yA0LCzMp8FQOFwkFiBhrRoxSmWmtjuFi5KRzl7yiwBqsADtL69Gscyih56IbEgXFytGyIVrvVnUPhk7SspxS1yUxwyrSfHRCG4QTMLU9WStRjJuKFipxLKMdp6GT6FQKBcdsgVQRESE7Gwkm5/rnrRFCLk4BJA/m4s6s7eUDCMZ5yLvOO4FUJ7JjLlncpBlNPl8DiGLGyonexKE3fVByG3IdGun0+CRFEcLl1oPv6mbYiPZ/8dp1JiRFIs3Gmo3jYiiDyQUCoUiRLYA+u6779j/Z2VlYe7cuZg6dSrbYuLnn3/Ge++9x1ZtpjQRpwvMQ9BsoOOPys1OGi1AjGSm07flVbgrIcZtfRvhiJ5MS8QL5wvY12fr/Sd8AGBkVDgSG7LKjB7ej8tC9egREoQULT+mxrXqj3uGR4WjV0gwTtUbMSBMflYXhUKhtBVkC6ChQ4ey/3/mmWewevVqTJo0iV124403omfPnnjjjTcwZcoU/46yDUKsDrcQo/JPop7VTlBhtSJWInamufA04XsDGwPEMNC4EYZ7yqtwfXS4pMVSaAFqr9PinqRYbOJUu/Yn3MBnT4JQxQC9Q10Fiy8Z5jEaNWIu8OdNoVAorQWfzAs///wz+vXr57K8X79+OHz4cJMHRQGIyWGFYPzUpX7JuVw8fOo8jrtpJNoc+MsFZrETHG5oXuouBggA3i8sxXZB9WonNkJwpIbfBFXJMLg2Khzz0hKbPM4kravg0HHcmHqF+8KBUrE6rdsOSKFQKIGHT/fVlJQUvPnmmy7L33rrLaSkpDR5UBTAbnYIIIXGPwLI6db5vkJ+MLs75BY39JcL7IPCUuwud1RVlhMD9Elxuejyz0sqsLec/x44M68i1E23tnUJdk0153Zcvz2Bn76/vEM7dOb0HpPCWxcYhUKhUNzj0x3/5Zdfxi233IJvvvkG/fv3BwAcPnwYp0+fxvbt2/06wLYKaQiE9ZcFyN8QSBfk45JZ37TO506c4gcAlJCOAfLEfhEB6Cw+2JTAaieiDUc5FqAotQrPdmiHhZm5AIBwlRKL05Nx539n3R6XFlmmUCgU/+KTBWj06NE4ffo0brzxRpSXl6O8vBxjx47FqVOnMHr0aH+PsU3ibwuQv5HbJPRPkWrITUXFwG0MkBTlFqtoyr3TAuSPooBi9i6d4LhBnKrYCobxmBoP8MVmgLWGo1AolFaJ1xYgi8WC6667Dhs3bsTy5cubY0wU+D8GyMmByhp01Qfh6simpUbbCIHagw2IENKkbupOhCng7rLA3PHc+XzR5c64G1+tSlyGRYbhx8oa3jJh9ecgjiBSMpBVXoK7jZ9rM1IoFEqbxOtHXrVajb///rs5xkLhYDc5LUD+bzGwMa9Y9rY5RhOvMrITOT2y/JX/dUIQuK1iGJd2D3KsKNlG953km+oCW9s5TbTdhLAwIVcQOcXMJcE6RKtV6BjkOR6IQqFQKE3HJ5v/nXfeiU2bNvl7LBQOxOy0ALXchJhVb8KcMzmoFcnkyjd5rpDsrz5aFVZXCxAAXBYazC7b1LUDeoW4ig8ncvqNqRlP9Zb53CEIaJYqMRAvWK5XKjEwPASXh+kR3lAhenH7ZLzaOc1tdpsQqXYgFAqFQvGMT0HQVqsVb7/9Nvbu3Yu+fftCr9fz1q9evdovg2vL2FkXWMs1mfytulZy3aLMXGzt0dHt/sKeVL5iFigpp7XnybQkfFhYCo1CAZ1SAbUbC06eyb31B3C4mZRMY8VpdzyfkYK0IC22FJZ53DZC5Zr67qzwzDu359M2bOv4d0ZyHN4rKMF10REy96RQKBSKE58E0L///ovLLrsMAHDq1CneOrntMijuIWbHhN2SQdCeWkZ4wh/xPwBgIXwLFLdh6O2cJp4qN9+9Sou4BWhOKr/2D1f8KBnpa/AmXEiqtk9TiVarMCu16bWLKBQKpS3ikwDitsWgNA92kyN9vCXT4C1NFEDNZwESFxRuBZDVVQBdHRGKvmF6ka0dBCsUqGlw/92TFIsiswVflVbyxnB1RCgOVNZgjIQV5qWOqZLH95XUFrQKUigUysWCf/osUPyOMwtM0YICyNxUAeQ3C5BAAElsJ3SBWe0EtXYbIlQqVIvEAEkJKSfc6+8QpEWHIK2LALo3KQ7DosIkg5fb6fwnVl7rkg6DzU7bW1AoFIof8FkA/f777/joo4+QnZ0Ns5kfX7Fjx44mD6ytYzc6Mp8UOunA3uam1tq0PC53FqBkrRp5MgKpAVcLkJSlR7h83tkc5JjMWN0pFVUNvdWGRoTi+4Y0dU8CaEBYCA40bKsCw7sapwhTKRjR6s+AvEKR3hCpViGSah8KhULxCz5lgW3duhUDBw7E8ePH8emnn8JiseDYsWPYv38/wsPD/T3GNom9vkEABQV72LL5MJEmCiAJ/dM3NBi9Q4IF20qLJRcLkJQAEgTm5DQEPv9aVYvqBheY3MypMdERiOS0xlAJChZ6Ek8A7d9FoVAogYxP9+gVK1bg5ZdfxpdffgmNRoNXXnkFJ06cwK233orUVP/HPLRFGi1ALZcGb2uyC8yxv5ojHsbHRWFOWhKvGCDgvmaQVBaYECnLEMM0urNCOTV5IkWys+anJ2FYZBgmxEXx6gIpGX4/LjkCiOYDUCgUSuDikwA6e/YsxowZAwDQaDQwGAxgGAaPP/443njjDb8OsK3SaAFqORdYU7O4nKJGAUdAMdBYbFDYHkLKAlRvs+NgFb+ysrdB0AwYVsxxG5MmiHRu7xUSjPuS46BTKqDhjFF4bHntK6gColAolEDFJwEUGRmJmhrHpJScnIx///0XAFBZWYm6Ov/3fmqLsAKoBWOAPFmA3LmtuOsVDMNafJztJoRtJ6TcZXs5TVCdSAkdqTpACjSKORXDQN8wlu569+5F7hhdK09Li5vhDW1GJsRFuT0+hUKhUFoOn4KghwwZgj179qBnz56YMGECHn30Uezfvx979uzBNddc4+8xtjkIIY0usBa1APFVyWtd0vHAySzOevf1cJx5VwoGCFYqAYuVFSnCxqNSrTXEMtFClOK6XTINnmmsaaRkGLzcOQ1mux1hIi4wLlxB5WIBcmPduTcpFqOjI5AsYmGiUCgUSmDgkwBat24djEZHnZoFCxZArVbj0KFDuOWWW7Bw4UK/DrAtQiwWoCFtO5BcYNygYMAhKtw1RGUtQAD0DaLFKXyEDUKlLEBiYidRog6OSlr/sGJOyTANwsdz3WXumZUMwwuyducCUzCMX9PfKRQKheJ/fBJAUVGNpn2FQoG5c+f6bUAUgDSIS6D5eoGVW6yIUrv/+D01PLUQAnfyjI0BYhhcHx0OrYJBr4bsL7kWIDFXk1QhQCm3VIXFhjP1poZt3AxYgIJnAXL09BoVFY5gpaLZqjtTKBQK5cLgkwCaPHkyhg0bhiFDhiAjI8PfY2rz2C0NdZVUKjCK5kmmfvF8AVZ2THG7jacgaE+tMpwWICWAfmEh6BcWwq7TMvIsQNwMsH6hevQKCZYsBCglgHaWVbL/d1ct2vV4jf937jctKVb2/hQKhUIJXHyaXTUaDVauXIlOnTohJSUFd955J9566y2cPn3a3+Nrk5CGon2MynWir7ba8HRmLg5UVDfpHOeMJo/beBI4ngWQ418xa4lQxEgFVDtrADEAnkhNwMho6TpTcpqJyklfd8JNe6cWHwqFQrm48EkAvfXWWzh16hRycnLwwgsvICQkBKtWrULXrl3Rrl07f4+xzUGsjgrJjIiL6pPicpyoM2JjXnGzj4MrSi4X6ZnlUQA1/Cv2JYvXqLGsQ+N3RbxVKWC2O44yIirMY6NdOeLGGxeYN9tSKBQKpXXRJP9KZGQkoqOjERkZiYiICKhUKsTGeu8iWL9+PdLT06HT6dC/f38cPnxYcturr74aDMO4/DnrEgHA1KlTXdZfd911Pl1jS0AsDRYgpasAquH0tDLb7ThpqPeYju4rzs7oc1IT8XhKgst6uWnyUtaTTsE6Nj0+R8IiZeEUU/SEHAGk8qI2jzBOiUKhUCgXDz7d4efPn4+BAwciOjoac+fOhdFoxNy5c1FYWIijR496daxt27Zh1qxZWLJkCf744w/07t0bo0aNQnGxuIVjx44dKCgoYP/+/fdfKJVKTJgwgbfdddddx9vu//7v/3y51Bah0QLk6gLjio51uUVYci4PO0oqJI9VY7Vhf7lv7jJnYHKMRsWKmAeT49j1nrrFc9PgpXCueym7kO3XxcWZBq+RIUbkxPd44wLrrg9Cn5Bg3BATIXsfCoVCobQOfAqCfu655xAbG4slS5bgf//7Hzp37uzzAFavXo3p06dj2rRpAICNGzdi586dePvtt0Wzy7gZaICjL1lwcLCLANJqtUhIcLVatArYGCDXj4cbLHy42gAA2FlaifESRfdeyi7AyTqj6DpPNAYxN4qGIZFh+KCwDNU2G87UmdBBogs6d3+FTKtLodmCcME1W+zeWIA8n8PbLLC56Unyd6BQKBRKq8EnC9DRo0exYMECHD58GFdddRWSk5Nx++2344033sCpU6dkH8dsNuPIkSMYMWJE44AUCowYMQI///yzrGNs2rQJt912G/R6fozKgQMHEBcXhy5duuCBBx5AWVmZ5DFMJhOqq6t5fy2FpbQE+aufByAeBO0pNV2Ir+IHaHSBCUVDdYMb7u2CErf7N6bBS2/DzfISc081WoD8Y93xxgJEoVAolIsXnwRQ79698cgjj2DHjh0oKSnB119/DY1Gg4ceegiXXHKJ7OOUlpbCZrMhPj6etzw+Ph6FhYUe9z98+DD+/fdf3Hvvvbzl1113Hd5//33s27cPzz//PL7//ntcf/31sNnEQ21XrlyJ8PBw9i8lxX16eHNSsvkdELMjHkYsCLqpDUq9gVs80FvKLFasyMoH4N4CxHWjWUXEnVcWIBmWJm/S4CkUCoVy8eKTC4wQgqNHj+LAgQM4cOAADh48iOrqavTq1QtDhw719xgl2bRpE3r27IkrrriCt/y2225j/9+zZ0/06tULGRkZOHDggGirjnnz5mHWrFns6+rq6hYTQbbaxsafohYgEf3TXFO609okFED3J8dhY14xugRLu7+2FTVa3OS6nSosjQKVEIIiswVm4rAjaRg5MUCez0EtQBQKhUIBmlAJura2Fr1798bQoUMxffp0DB48GBEREV4dJyYmBkqlEkVFRbzlRUVFHuN3DAYDtm7dimeeecbjeTp06ICYmBicOXNGVABptVpotVqvxt5cqMIj4MyHEo8BclVAzWETIoSwYksoYEKVjoo77tLgua4tuWbGNTmF+DAsAwqGwSfF5djOCe6W4wKTU6uHprZTKBQKBfBRAH3wwQcYPHgwwsLCmnRyjUaDvn37Yt++fbj55psBAHa7Hfv27cPMmTPd7vvxxx/DZDLhzjvv9Hie3NxclJWVITExsUnjvRAowxsL/YlZgOwuS5oH7nmEsTlON5I7dxxXr7gTJkqGb9Uy2gmClQxP/CgBdHZjbRKOy+02zWYvo1AoFEprwqcYoDFjxiAsLAxnzpzB7t27UV/v6FxOfIhPmTVrFt5880289957OH78OB544AEYDAY2K2zy5MmYN2+ey36bNm3CzTffjOjoaN7y2tpazJkzB7/88guysrKwb98+3HTTTejYsSNGjRrlw9VeWJRhjQLImQ7PRUx0+DqluxMw3HVCAeN0NVndfNxcMeLuS+a0Jjlxury4DIsMQ5xE+wsu8rLAqACiUCgUio8WoLKyMtx666347rvvwDAMTp8+jQ4dOuCee+5BZGQkVq1aJftYEydORElJCRYvXozCwkL06dMHu3btYgOjs7OzoRDUgDl58iQOHjyIb7/91uV4SqUSf//9N9577z1UVlYiKSkJI0eOxLJlywLGzeUOhaax0afdYHBZL9UzyxeshEgKAq5VRhhb4xQ37lxg3E/MnQVoTHQEtnDihcwiF5geJO9z83claAqFQqFcvPgkgB5//HGo1WpkZ2fzsr4mTpyIWbNmeSWAAGDmzJmSLq8DBw64LOvSpYuktSkoKAi7d+/26vwBBeeybIZal9ViafC+zulWQiAlLbgWIKGwcAogo90Os90uWqSQawFyN74xMXwBZBERQBqZVhs57i2aBUahUCgUwEcX2Lfffovnn3/epe9Xp06dcP78eb8MrK1COALHVisigLy0ALn7gN1ZcLhCS3gMp4iotNpwz/FzsIqIFq7Vx13FaAXDQMsJGBJzgelktqSQY92hTU0pFAqFAvgogAwGA4KDg12Wl5eXtwo3U0DDEQvEWO+y2u5lzpeYW0hODA+bAQa4NCFVCcRNqcW1hQUXkwe/HVeIibnA5GSAATS+h0KhUCjy8UkADR48GO+//z77mmEY2O12vPDCCxg2bJjfBtcm4cz/uo6dXFZ7GwMk5vJxLhNzNzmxuimCKFwmpjt4okbEqsOFa9Uys+03GpHblJQKIAqFQqHIxacYoBdffBHDhw/H77//DrPZjCeffBLHjh1DeXk5fvrpJ3+PsY3RqAbiH3jUZa2o28rNvC9WHNAhgIjbLDC2D5jo/p5Pz7XkGGzuBdCg8BAcrKrl7adkGHZ8WpkWIHfxPV2CdRgTHSHrOBQKhUK5+PHaAmSxWPDII4/gyy+/xKBBg3DTTTfBYDDgf//7H44ePYqMjIzmGGebwSk8wq6+BuroGMn1chF3gXnO4mL7eInIG5UMQWLhWH2qrOItSJzcndTYYd5pLeIKL7kWIHfDuiEmAleEh8g6DoVCoVAufry2AKnVavz999+IjIzEggULmmNMbZYPCkvxXXp3PBiyG2ESZh1vCyG6c4G5E0DOVWJGFeExxUbqLvBZSLBSgd4hwfirto61ACkarFQAoPVDFpjcjvQUCoVCaRv4FAN05513YtOmTf4eS5vnq9JKGJQqHLx8kKRbS46sIITghKEe1VabaAaVPAtQgxARswAJBInYUbjxRfclx4lswceZ6m4WGZM/YoBo/R8KhUKhcPEpBshqteLtt9/G3r170bdvX+j1et761atX+2VwbRWlzSbZ2VOOYeXP2jo8f74AQQoGiZzCik68cYHJsQCJueWcQuaxlARcKcP1pG7wX+0pr0LnIB0vPkluDJA7kUMDpCkUCoXCxScB9O+//+Kyyy4DAJw6dYq3TpgyTfEelc0KRqUUXUdkFEL8s6YOAFAvkeXFZoHJcIGJ2V6EIxNzy9XYHHE/OpnixWmpyjaa8dTZHESplDDaHcdQy/xOKRgGdyREY0thmcs6KoAoFAqFwsUnAfTdd9/5exwUDkqbDWDEBZAYQh3DnevF6gY5jUvPnS/Axq7piBDrOt+wHyPiAhOKXKHOqrRYkW+ygAHQIchzE1MAiFbzxxCmUqLcasPIqHCvRPXYmEgJAST7EBQKhUJpA/gUA0RpXlQ2K6SCgMSsLcK4Ge6eYpWjuS6s9wtKRc/DWoBkCAehVSrPZAYAJGjUCJOwZAmJFzQ7zTM5GsFeHqYX29wtcoOmKRQKhdJ2oQIoQOD2NnNYgORHQVsI4cXhcPcUswBxXUplElWcG9PgPSO0ADkFWZDM4GUAiNPwLUBO95wvvbvCRUSXP5vIUigUCqX1QwVQgMCNx1HabZJZYFJp8BaeAGrcWWzi54oKqUBo1gUmQ4AIRZYzlV0tM/4HAMJF3HCAb66rJK1r4Le39ZMoFAqFcnFDBVCAwHVjKa02SJd3Fp/IuZWXFbwYIFe4AkiqGrS7IGghQpHlFGNyu7gD0plevgQvi2Wduet7RqFQKJS2h09B0BT/wxUwDIjXFiCugOKKFjHLh5JnAXJ/Hjn6Qzgms92xxBsLkFTHd6UPBQyHRISixGxBWpAWq7MLAQAxGvpVp1AoFEojdFYIELgCiICRVB5Snhyn6AD4bithEHSkSinLBeaMSZJTQfm7impsKSzFrNREhKmUrBjTMPINjFLWIl9cYAqGwYT4aADAMx2SUWGxIVnELUahUCiUtgt1gQUI3N5ZRMGIpp8D0pWgzRJB0MIMrRc7pvJqLErHADmQ8wXZX1GNE3VG7CguB9DY+0vjhQVIISmAmpbR1Tk4CP1pDzAKhUKhCKACKEDgWYAYRtIFJozZcW7Gd6E1IozPCVEpeaJCKgbIuZ8XGgZmQmCw2fBpSQUA+QUMhSRwUuJ9yQKjUCgUCsUTVAAFCFwLjp1RQEwBEUJc4m30SsdHyHOBcdaLpcErvckC8yIGR6NgcKrOyL72JgaIS6iy8WtJ09cpFAqF0hxQARQgcC0xDguQq3iwiewX3BA8zAuC5uwrJiCUPBeY+Hici70xwGgYhmf1sfqoXjScgGhv3GgUCoVCociFBkEHCFzLjpQLTCyjS69UAharpAvMJmIB4gY2+yMN3olGoeAdz9gE883jKQmot9sRpaZfUQqFQqH4Hzq7BAhccWNXiLvAxNpaBCtdLUDcPcUanio9BEETQtj9vHGBaRmGJ3pMRCpp3z12QmjgMoVCoVCaFeoCCxBcLUBiAshVrDjTx60SLjCuaOodEgyAHwMkJlGezcrHmpzChmPJGb0DtYJBPScWyWT3TgBdFx0OAJjYkMJOoVAoFEpzQS1AAQLXW2RnFKKxN2LuLOd2XG0kpmpXd0pls6s8pZYfM9S7PZYUCjAwckRPiFJ+R3sAmJIQg1vjolmrFoVCoVAozQWdaQIEbrYWYRjIdYE5t+LV+xHRN3qlgrUMCWUJ1/0mDFyWqs8jttQOwhNAdyTEiO4rBcMwVPxQKBQK5YJAZ5sAgWcBUihku8CcMTqEt8wVbuCzUNQ4CxcC4AkYqWNJLbeTxsDn66LDEU0DmCkUCoUSoFABFCC4WoBcEbUAOV1gHo7PjeURtpcot1rZ/wsFkFQMkNgQ7SAw2hz7S/X2olAoFAolEKCP6AEC1wIkXQdIzALUsA93fxE1xLUACWOAqjkWoHoXC5C4AlKAcRnPB4Vl7P+1tIIzhUKhUAIY+pgeINiFlaBFBMTHReUuy8RigMRyr3gWIIGoMXHUV7nFylsn9QXxJG9oAUMKhUKhBDJUAAUILmnwIvxSXeuyTCwGSNgAFeCLHqE24bq9Vp4v4K2T0jGe9A3t4UWhUCiUQIYKoACB5wJTMGBkCgjnZs79CSHYWVrpsh1XsAjFibt6PVIuME8FEtUM/WpRKBQKJXAJiFlq/fr1SE9Ph06nw/+3d+dxUdf7/sBfMwMzMCqMgGyGgKm4L+GRQ7boEUWP9xxbbte4mOg1TIOTSqWpqR1z6dbRrE7FyUDt1nWpny3HzPJgaF0RXHJBEzVFNB3UlE2RZebz+0Pny3yHAVmG+Q7yej4e85D5fD/fz3y+n0l591mjoqKQk5NTZ95hw4ZBpVLVeo0dO1bKI4TAwoULERQUBE9PT8TExODkyZPOeJQms54EXdcQmD22uXKvl6PUVDugUdXxM1D/kRV19fRE32Gn5qYehEpEROQMigdAGzduREpKChYtWoQDBw5gwIABiI2NxaVLl+zm37x5My5evCi9cnNzodFo8MQTT0h5Xn/9dbz99ttITU1FdnY22rVrh9jYWNy8edNuma6g1iRoG0fKbti9z/IFWoa9LldW2c1n3aNkW/r6wt+wsuCi3bPG6gpjJgbVv8ePO4fAiIjIhSkeAK1cuRKJiYmYPHkyevfujdTUVOj1eqSnp9vN7+Pjg8DAQOm1fft26PV6KQASQmDVqlV4+eWXMW7cOPTv3x8fffQRLly4gC+++MKJT9Y4tZbB2wQQS/Mv1HGn6vb9kP3ZWDkl13H0ejk62GxEWNdGiHda5s4AiIiIXJmiAVBlZSX279+PmJgYKU2tViMmJgZZWVkNKiMtLQ1PPvkk2rVrBwA4c+YMjEajrExvb29ERUU1uExnqzCbZT08dR2GavF4p47ooFHj6eBONUNUjTh4va75Rcevl8N2NKypYQyHwIiIyJUpug/QlStXYDKZEBAQIEsPCAjA8ePH73h/Tk4OcnNzkZaWJqUZjUapDNsyLddsVVRUoKKiQnpfUlLS4GdwhPfPX8L+0poASEAlizxsh6a66T3w7/4+UKlUOHnj1rCeWbq36UpNZlTblKBuYgjEHiAiInJlig+BNUdaWhr69euHIUOGNKuc5cuXw9vbW3qFhIQ4qIYNY7u83fYojGqbAEijqlklZrsPkL1NEG3VFZpcN5lq9QA1tSOHARAREbkyRQMgPz8/aDQaFBYWytILCwsRGBhY773Xr1/Hhg0bMGXKFFm65b7GlDl37lwUFxdLr3PnzjX2URxKqFSyZea2QYn1YaaWQMgS+NjbA6ihrpvMtYItDoEREdHdSNEASKvVIjIyEhkZGVKa2WxGRkYGoqOj6733008/RUVFBSZMmCBLDw8PR2BgoKzMkpISZGdn11mmTqeDl5eX7KWkW5Oga96bbYIaNzsruoTNn/WpKzQpM9U+bKOuSdB3wh4gIiJyZYqfBZaSkoKEhAQMHjwYQ4YMwapVq3D9+nVMnjwZADBx4kR07twZy5cvl92XlpaGRx55BL6+vrJ0lUqFmTNnYsmSJejevTvCw8OxYMECBAcH45FHHnHWYzWKBoDJ6r3tPkC1eoDqCYCa4077BzUGAyAiInJligdA48ePx+XLl7Fw4UIYjUYMHDgQ27ZtkyYxFxQUQG2z5DovLw8//vgjvvvuO7tlzp49G9evX8fUqVNRVFSEBx54ANu2bYOHh0eLP09T6DVqWfAh1CpYhx62YYksAGrgafDW6gpNSqqra6XZ2xuoIRgAERGRK1M8AAKA5ORkJCcn272WmZlZKy0iIgKinl/MKpUKixcvxuLFix1VxRblqbYJgO44BFbzs2WVlqU96tnUuUYdsUm5nZuv2+kVagg3zgEiIiIX1qpXgd0tbIMFs0q+D1DtlVm1gwtH9ADZYxt8WYvQ192jpmUPEBERuTCX6AFq62z32rHdCdp2GEp2srvlHps/6xPeiKHAynq6lJ7vEoTskjKcLq/A99dq9k76o683tHfYKZqIiEhJ/C3lAmxHi4RKJTsJw3YQynoIzPY0+IaEQIE6dyy/9x7MCAm4Y97KeoYavdw0GOnjDb1NsDOgvf6O5RIRESmJPUAuwLYHyPYoDNsQRGN3eOlWruoGjoWFe3o06NywqgZMKrIdJqvrqA0iIiJXwR4gF6Cx0wNU31EY1gGQ2uYwVFMjVm25NWA2UH09QBa2OWx7hIiIiFwNf1O5oFpzgGyu2xsCswQhjQmA7PckyVWaG9BPZPWRY30NuNdT1+A6EBERKYEBkAsw2cQstVeB1d0DJG2EeDuLCQ1n3fNU14quqgYEVNYh0lNBfhwCIyIil8cAyAXYBjgmjcZmHyA5+ztB3yqjqT1APeoIgOpbBWbRnPPHiIiIlMAAyAXYnsBV5eYO2STo+g5DtWyEePu97WGm9bE+U0yrUqF3O89aeRrSmcPwh4iIWhsGQC7Adgisyt1dNoxU3yqr2nOAGv651kNg7mqV3eMrnu8SdMdymnhaBhERkWIYACkst+wGjJVVsrRKdy1+07jhn1eu4abZXO/xFrXmADVxCEwDld3dm3vZ6RWyxfiHiIhaG+4DpLAl+RdqpVW5u2ONZyecNP6GEzdu4k9+BunatM7+sry2O0E3ahm89XJ6lQruTTy/iwEQERG1NuwBckFVbu44qb3V87K35LrUuxOodcewjl527xGN3AgRkO8DpFbJA6LGGHR752cPHoBKREStBHuAXFCVuzv8TFW4onEHULMKzF60ajkYtWYZfGOGwKx+hgoxPl7YVVTa6Pr+zqsd5ocFI8RD2+h7iYiIlMAeIBckVPKvxbJM3t4p8JYUS5BU3YBl69K9KnkPUA+9J97pEdrok9xVKhX6tdfD4MZ4moiIWgcGQC7KZL0R4u0/7X1ZtqFKQzYutMdypEYnrXuDlr4TERG1ZgyAFCRsgpWuVkdImKyikGqpB6h2GTWnwQtZ3sayLpvL2omI6G7HAEhBtnHG812CoK+sACA/0qLi9rCWys7hpbYbITa1B0hTz75DREREdxsGQAqyna6jAeBuvhX6WPcA3bx9IKndHqDbfzZlJ2hr3a16nxoxjYiIiKhV4qxVBdn2tKhVKqhvBzDWc4CkAMhOGbY7QTe2Byg1IgylJhMCdTUruBI7++Mfv17Cv/v7NKosIiKi1oIBkIJqH3IKqCxzeazSLUNg9laBSRsh3o57GrMKDAAM7m4wuMv/Mxje0QuRHdrBy01Tx11EREStG4fAFFT7kNOaHiBhbwjMbimWOUDySdDBWveacpuwqovBDxER3c0YACnIdgjMzWoIzJolAFLVsw+Q7RDY5OBO6NfOE4Fadyy7N8RhdSYiIrobcAhMQdaxzsyQQLip7QdA0hCYnTLUNnOALD1ABjcN5od3dmBtiYiI7h4MgBRkPQcoyqsdgJo5QNbqWwVmkVVchqziU9J7d+5mSEREVCcOgSnIegjMMrylFrZTo4EKaQ6QvUnQ9gOdph5sSkRE1BYwAFKQpbPH+kuwPwfozjtB23LnyexERER1YgCkIEtfj3UQU+8kaLs7QdvHITAiIqK6MQBSkOUsMOthLJXdIbB6eoDqKJtDYERERHVjAKQge6e819cDZP80eM4BIiIiaiwGQAqybNps3bNjbxWYNAna3j5AdcQ59vISERHRLQyAFGRZBWbdi6Mx1x4Cu1nPPkAMc4iIiBpP8QDo3XffRVhYGDw8PBAVFYWcnJx68xcVFSEpKQlBQUHQ6XTo0aMHtm7dKl1/5ZVXoFKpZK+ePXu29GM0iaWv5049QJbdne0Ndyn+BRIREbVCim6EuHHjRqSkpCA1NRVRUVFYtWoVYmNjkZeXB39//1r5KysrMXLkSPj7++Ozzz5D586dcfbsWRgMBlm+Pn364F//+pf03s3NNfd7NEuBTQ17c4Cka+zuISIicghFI4OVK1ciMTERkydPBgCkpqbi66+/Rnp6Ol566aVa+dPT03H16lXs3r0b7u63DvsMCwurlc/NzQ2BgYEtWvemOlNegf936SriAnxreoCsQqB6AyB7aZzrQ0RE1GiKjaBUVlZi//79iImJqamMWo2YmBhkZWXZveerr75CdHQ0kpKSEBAQgL59+2LZsmUwmUyyfCdPnkRwcDC6du2K+Ph4FBQU1FuXiooKlJSUyF4tZcHpc9hXeh3Lz16o2QhRtg9Q7TlAFpp6DkMlIiKihlMsALpy5QpMJhMCAgJk6QEBATAajXbvOX36ND777DOYTCZs3boVCxYswIoVK7BkyRIpT1RUFNauXYtt27bh/fffx5kzZ/Dggw+itLS0zrosX74c3t7e0iskpOVOT6++HfRcqaq2mgRdQ2WuuwdIa2cMjAEQERFR47nm5Jg6mM1m+Pv744MPPoBGo0FkZCR+/fVXvPHGG1i0aBEAYMyYMVL+/v37IyoqCqGhodi0aROmTJlit9y5c+ciJSVFel9SUtKiQZCFtA+QynoIrO4eIG0jlsETERFR3RQLgPz8/KDRaFBYWChLLywsrHP+TlBQENzd3aHRaKS0Xr16wWg0orKyElqtttY9BoMBPXr0wKlTp2pds9DpdNDpdE18kqazdPbIeoDqmQPkrq7dYVfXRohERERUN8WGwLRaLSIjI5GRkSGlmc1mZGRkIDo62u49Q4cOxalTp2C22ivnxIkTCAoKshv8AEBZWRl++eUXBAUFOfYBHEDAcsSFVQ+QnX2ALOz2ADm+WkRERHc9RbeRSUlJwerVq7Fu3Tr8/PPPmD59Oq5fvy6tCps4cSLmzp0r5Z8+fTquXr2KGTNm4MSJE/j666+xbNkyJCUlSXleeOEF7Ny5E/n5+di9ezceffRRaDQaxMXFOf357sReD1B9q8DszgFiBERERNRois4BGj9+PC5fvoyFCxfCaDRi4MCB2LZtmzQxuqCgAGqrYZ+QkBB8++23mDVrFvr374/OnTtjxowZmDNnjpTn/PnziIuLw2+//YZOnTrhgQcewJ49e9CpUyenP9+d1CyDr1FvAGQn2uFGiERERI2n+CTo5ORkJCcn272WmZlZKy06Ohp79uyps7wNGzY4qmotzrIRovUQmL3T4C20duYAcRCMiIio8RQPgNqyyt+uALgVwlw/cghu3oZ6V4G5cw4QERGRQ3AERUGF6f8AAKiqq3BxxXKcWzgH6kbuA8TjMYiIiBqPAZCCzKrbzV9VJaXVOwTGGc9EREQOwQDIicyVlbL34nZAI5sEbdUD5GYT79ibA8QvkIiIqPH4+9OJRGWF/P3tAMh680OVqVr6WQMVdFa9PnbnALFXiIiIqNEYADmRucJ+AGT9JaiqrHqJVPJ5PzwLjIiIyDEYADmRuHlT9j5n4JDbF2rm/aiqa3qA1AB0VsNe3AmaiIjIMRgAOZFtD9DJ8B4AAJXV8Rcq6wnRUMmCHntzgPQafoVERESNxd+eTmSuuGk33WS8KP2sMplqfoZ8k0R7PUAdrA6GJSIioobhRohOJCpuAm61T523ngRtvRGibbzjbmcOEAMgIqLGM5lMqLLqcafWwd3dHRoH/d5jAORE5ooKuy0uC4Csh8Mg76LT2OkB0nEnRCKiBhNCwGg0oqioSOmqUBMZDAYEBgY2exU0AyAnEhUVQLva6da9PtYBkBqqO572zmXwREQNZwl+/P39odfr+W9oKyKEwI0bN3Dp0iUAQFBQULPKYwDkRHXNAbLuAdKYTVYXbk2EJiKi5jOZTFLw4+vrq3R1qAk8PT0BAJcuXYK/v3+zhsM4CdqJbFeBWcgCIKtJ0Go0bJn7y2HB+LOfoXmVIyK6y1nm/Oj1eoVrQs1h+f6aO4eLPUBO5Nk9ArDzfcmGvWzmADWkd7Zvez36ttejuNqEnUWl+ENHLwfUlojo7sRhr9bNUd8fAyAn8ozoBeSeqjePdQ9QYwfAng72x4OGDojQezapfkRERG0Fh8BcgHWvj/UcILWqcV+Qu1qFvu31dpfLExHR3S0zMxMqlYor3BqIAZAL6HC9VPpZY7MRIg+7ICIia1lZWdBoNBg7dqzSVWnVGAC5gNBfz0o/284B6qH3UKBGRETkqtLS0vCXv/wFu3btwoULF5SuTqvFAEhhvz+Qhb55udJ76yEwlUqFJwJ88IS/D97oFqJE9YiIyIWUlZVh48aNmD59OsaOHYu1a9fWm3/16tUICQmBXq/Ho48+ipUrV8JgMDilrq6OAZDCHsreJQ1yGcaOq9UD5KFW43F/H4R41D5Cg4iI2pZNmzahZ8+eiIiIwIQJE5Ceng5htZWKtf/7v//DtGnTMGPGDBw8eBAjR47E0qVLnVxj18UASGGySc86D7iZqmveK1EhIiJyWWlpaZgwYQIAYPTo0SguLsbOnTvt5n3nnXcwZswYvPDCC+jRoweeffZZjBkzxpnVdWn8Hasw2R5AOp3sPec/ExGRRV5eHnJychAXFwcAcHNzw/jx45GWllZn/iFDhsjSbN+3ZdwHyInyrpfXSpMFPLDdCZoREBER3ZKWlobq6moEBwdLaUII6HQ6/P3vf1ewZq0TAyAnOlR2o1aadQDk7u9faw4QERFRdXU1PvroI6xYsQKjRo2SXXvkkUewfv169OzZU5YeERGBvXv3ytJs37dlDICcqE87T2y+fE2WZh3w6AfcB7+iEuk9d2snIiIA2LJlC65du4YpU6bA29tbdu3xxx9HWloa3njjDVn6X/7yFzz00ENYuXIl/vSnP2HHjh345ptveBTIbZwD5ET2jqhQC6seH7UaHYc+WPPeKbUiIiJXl5aWhpiYmFrBD3ArANq3bx8OHz4sSx86dChSU1OxcuVKDBgwANu2bcOsWbPg4cH95QAGQE7lplZhdc9wjPGpOazUNshxs4rMG3cSGBER3a3++c9/4uuvv7Z7bciQIRBC4LnnnoMQQrbPT2JiIs6fP48bN27g888/R35+Prp16+akWrs2DoE5WQc3DQzu7nVe11jFPAx/iIioOf72t79h5MiRaNeuHb755husW7cO7733ntLVcgkMgBRQX7ebdQ+QGfY3tyIiImqInJwcvP766ygtLUXXrl3x9ttv4+mnn1a6Wi6BAZAC6pt/prG6aGL8Q0REzbBp0yalq+CyFJ8D9O677yIsLAweHh6IiopCTk5OvfmLioqQlJSEoKAg6HQ69OjRA1u3bm1Wmc5W39CWG9gDRERE1NIUDYA2btyIlJQULFq0CAcOHMCAAQMQGxuLS5cu2c1fWVmJkSNHIj8/H5999hny8vKwevVqdO7cucllKqG+yc3Wc4DMjH+IiIhahKIB0MqVK5GYmIjJkyejd+/eSE1NhV6vR3p6ut386enpuHr1Kr744gsMHToUYWFhePjhhzFgwIAml6kET03dzW69P4O5jgPuiIiIqHkUC4AqKyuxf/9+xMTE1FRGrUZMTAyysrLs3vPVV18hOjoaSUlJCAgIQN++fbFs2TKYbh8f0ZQylfCAdwcMaK9HfIBvvfkY/hAREbUMxSZBX7lyBSaTCQEBAbL0gIAAHD9+3O49p0+fxo4dOxAfH4+tW7fi1KlTePbZZ1FVVYVFixY1qUwAqKioQEVFhfS+pKSkzryO4K5WYW7YrbNcTtWTjwEQERFRy1B8EnRjmM1m+Pv744MPPkBkZCTGjx+P+fPnIzU1tVnlLl++HN7e3tIrJCTEQTVuHgZARERELUOxAMjPzw8ajQaFhYWy9MLCQgQGBtq9JygoCD169IBGo5HSevXqBaPRiMrKyiaVCQBz585FcXGx9Dp37lwznsxxBOcAERERgEmTJkGlUtV6jR492mGfMWzYMLufUV1d3aB7Z86cKUs7dOgQ4uLiEBISAk9PT/Tq1QtvvfVWrXszMzNx3333QafToVu3bli7dq2Dnqh+igVAWq0WkZGRyMjIkNLMZjMyMjIQHR1t956hQ4fi1KlTMFsdIHrixAkEBQVBq9U2qUwA0Ol08PLykr1cAcMfIiKyGD16NC5evCh7rV+/3qGfkZiYWOsz3NyaNltm//798Pf3x8cff4yjR49i/vz5mDt3Lv7+979Lec6cOYOxY8di+PDhOHjwIGbOnImnn34a3377raMeqW5CQRs2bBA6nU6sXbtWHDt2TEydOlUYDAZhNBqFEEI89dRT4qWXXpLyFxQUiA4dOojk5GSRl5cntmzZIvz9/cWSJUsaXGZDFBcXCwCiuLjYcQ9bh5MJ46WXxfgjJ8X4IyfFMz+fbvHPJyJqK8rLy8WxY8dEeXm50lVptISEBDFu3Di7177//nvh7u4udu3aJaX993//t+jUqZP0u+/hhx8WSUlJIikpSXh5eQlfX1/x8ssvC7PZLN3z8MMPixkzZtRZh3fffVd069ZN6HQ64e/vLx5//HGpbrj1/+zS68yZM3bLePbZZ8Xw4cOl97NnzxZ9+vSR5Rk/fryIjY2tsx71fY+N+f2t6E7Q48ePx+XLl7Fw4UIYjUYMHDgQ27ZtkyYxFxQUQK2u6aQKCQnBt99+i1mzZqF///7o3LkzZsyYgTlz5jS4zNaEI2BERC1LCAFRWXHnjA6m0upk2540h2X46amnnsKhQ4dw+vRpLFiwAJ9++qnsd9+6deswZcoU5OTkYN++fZg6dSq6dOmCxMTEO37Gvn378Nxzz+F//ud/cP/99+Pq1av44YcfAABvvfUWTpw4gb59+2Lx4sUAgE6dOtktp7i4GD4+PtL7rKws2cptAIiNja01nNYSFD8KIzk5GcnJyXavZWZm1kqLjo7Gnj17mlxma8KdoImIWpaorMDpZyY5/XO7/mMtVDqPRt2zZcsWtG/fXpY2b948zJs3D0uWLMH27dsxdepU5ObmIiEhAX/+859leUNCQvDmm29CpVIhIiICR44cwZtvvikLgN577z18+OGH0vtnnnkGK1asQEFBAdq1a4d/+7d/Q4cOHRAaGopBgwYBALy9vaHVaqHX6+udb7t7925s3LhRdqq90Wi0u3K7pKQE5eXl8PT0bFQbNYbiARARERHd2fDhw/H+++/L0iy9KVqtFp988gn69++P0NBQvPnmm7Xu//3vfy/rdYqOjsaKFStgMpmkxUXx8fGYP3++lMdgMAAARo4cidDQUHTt2hWjR4/G6NGj8eijj0Kv1zeo7rm5uRg3bhwWLVqEUaNGNeq5WwoDIBdmvnMWIiJqBpVWh67/WKvI5zZWu3bt0K1btzqv7969GwBw9epVXL16Fe3atWv0Z3h7e9v9jA4dOuDAgQPIzMzEd999h4ULF+KVV17B3r17pSCpLseOHcOIESMwdepUvPzyy7JrgYGBdldue3l5tWjvD9DK9gG6G6nr+Q+Uc4CIiFqWSqWCWufh9Jej5v9Y/PLLL5g1axZWr16NqKgoJCQkyFZMA0B2drbs/Z49e9C9e3fZ1jL1cXNzQ0xMDF5//XUcPnwY+fn52LFjB4BbPVCWUxmsHT16FMOHD0dCQgKWLl1a63p0dLRs5TYAbN++vd6V247CAEhhwS/Mgy40HMFzFtS6xviHiIgsKioqYDQaZS/LCQgTJkxAbGwsJk+ejDVr1uDw4cNYsWKF7P6CggKkpKQgLy8P69evxzvvvIMZM2Y06LO3bNmCt99+GwcPHsTZs2fx0UcfwWw2IyIiAgAQFhaG7Oxs5Ofn48qVKzCbzcjNzcXw4cMxatQopKSkSHW+fPmyVO60adNw+vRpzJ49G8ePH8d7772HTZs2YdasWY5ruDpwCExhHuH3IuSvy+1eEwyBiIjotm3btiEoKEiWFhERgf/8z//E2bNnsWXLFgC3Ng3+4IMPEBcXh1GjRkkHhk+cOBHl5eUYMmQINBoNZsyYgalTpzbosw0GAzZv3oxXXnkFN2/eRPfu3bF+/Xr06dMHAPDCCy8gISEBvXv3Rnl5Oc6cOYPPPvsMly9fxscff4yPP/5YKis0NBT5+fkAgPDwcHz99deYNWsW3nrrLdxzzz348MMPERsb29zmuiOVEBxosVVSUgJvb28UFxcrsinik7m3TgjTqVRY1+dep38+EdHd6ObNmzhz5gzCw8Ph4dG4FVit3bBhwzBw4ECsWrVK6ao0W33fY2N+f3MIzIUxMiUiImoZDIBcGAMgIiKilsE5QC6MGyESEZEj2NtYuK1jD5AL4+wsIiKilsEAyIUx/iEiImoZDIBcGAMgIiKilsEAiIiIiNocBkBERETU5jAAIiIiojaHARARERG1OQyAiIiIXNywYcMwc+bMWulr166FwWCQ3peUlGD+/Pno2bMnPDw8EBgYiJiYGGzevBmWk6+GDRsGlUolvQICAvDEE0/g7NmzTnoa18AAiIiI6C5QVFSE+++/Hx999BHmzp2LAwcOYNeuXRg/fjxmz56N4uJiKW9iYiIuXryICxcu4Msvv8S5c+cwYcIEBWvvfNwJmoiI6C4wb9485Ofn48SJEwgODpbSe/Togbi4ONnBoXq9HoGBgQBunR6fnJyMZ555xul1VhIDICIiarOEEKhQYNt93e3hJ0cxm83YsGED4uPjZcGPRfv27eu89+rVq9i0aROioqIcVp/WgAEQERG1WRVCYNKx007/3LW9u8LDgQHQlStXcO3aNfTs2bNB+d977z18+OGHEELgxo0b6NGjB7799luH1ac14BwgIiKiVk40shcrPj4eBw8exKFDh/Djjz+iW7duGDVqFEpLS1uohq6HPUBERNRm6VQqrO3dVZHPbQwvLy/ZJGaLoqIieHt7o1OnTjAYDDh+/HiDyvP29ka3bt0AAN26dUNaWhqCgoKwceNGPP30042qW2vFHiAiImqzVCoVPNRqp78aO/8nIiICBw4cqJV+4MAB9OjRA2q1Gk8++SQ++eQTXLhwoVa+srIyVFdX11m+RqMBAJSXlzeqXq0ZAyAiIiIXN336dJw4cQLPPfccDh8+jLy8PKxcuRLr16/H888/DwBYunQpQkJCEBUVhY8++gjHjh3DyZMnkZ6ejkGDBqGsrEwq78aNGzAajTAajTh06BCmT58ODw8PjBo1SqlHdDoOgbmgl8OC8cGvl5DY2V/pqhARkQvo2rUrdu3ahfnz5yMmJgaVlZXo2bMnPv30U4wePRoA4OPjgz179uC1117DkiVLcPbsWXTs2BH9+vXDG2+8AW9vb6m81atXY/Xq1QCAjh07on///ti6dSsiIiIUeT4lqERjZ061ASUlJfD29kZxcTG8vLyUrg4RETnAzZs3cebMGYSHh8v2xKHWpb7vsTG/vzkERkRERG0OAyAiIiJqcxgAERERUZvDAIiIiIjaHAZARERE1Oa4RAD07rvvIiwsDB4eHoiKikJOTk6dedeuXQvV7UPkLC/bWeCTJk2qlceyTJCIiNo2Ln5u3Rz1/Sm+D9DGjRuRkpKC1NRUREVFYdWqVYiNjUVeXh78/e3vg+Pl5YW8vDzpvb0dNUePHo01a9ZI73U6neMrT0RErYa7uzuAW5sAenp6KlwbaqobN24AqPk+m0rxAGjlypVITEzE5MmTAQCpqan4+uuvkZ6ejpdeesnuPSqVCoGBgfWWq9Pp7piHiIjaDo1GA4PBgEuXLgEA9Hp9o4+kIOVYTq6/dOkSDAaDdHxHUykaAFVWVmL//v2YO3eulKZWqxETE4OsrKw67ysrK0NoaCjMZjPuu+8+LFu2DH369JHlyczMhL+/Pzp27Ig//OEPWLJkCXx9fe2WV1FRgYqKCul9SUlJM5+MiIhckeV/jC1BELU+BoPBIR0cigZAV65cgclkQkBAgCw9ICCgzhNtIyIikJ6ejv79+6O4uBh/+9vfcP/99+Po0aO45557ANwa/nrssccQHh6OX375BfPmzcOYMWOQlZVlN2Jcvnw5/vrXvzr+AYmIyKWoVCoEBQXB398fVVVVSleHGsnd3b3ZPT8Wih6FceHCBXTu3Bm7d+9GdHS0lD579mzs3LkT2dnZdyyjqqoKvXr1QlxcHF599VW7eU6fPo17770X//rXvzBixIha1+31AIWEhPAoDCIiolak1RyF4efnB41Gg8LCQll6YWFhg7u33N3dMWjQIJw6darOPF27doWfn1+deXQ6Hby8vGQvIiIiunspGgBptVpERkYiIyNDSjObzcjIyJD1CNXHZDLhyJEjCAoKqjPP+fPn8dtvv9Wbh4iIiNoOxfcBSklJwerVq7Fu3Tr8/PPPmD59Oq5fvy6tCps4caJskvTixYvx3Xff4fTp0zhw4AAmTJiAs2fP4umnnwZwa4L0iy++iD179iA/Px8ZGRkYN24cunXrhtjYWEWekYiIiFyL4svgx48fj8uXL2PhwoUwGo0YOHAgtm3bJk2MLigogFpdE6ddu3YNiYmJMBqN6NixIyIjI7F792707t0bwK1ljocPH8a6detQVFSE4OBgjBo1Cq+++mqD9wKyTIviajAiIqLWw/J7uyHTmxWdBO2qzp8/j5CQEKWrQURERE1w7tw5aWV4XRgA2WE2m3HhwgV06NDB4ZtkWVaYnTt3jpOtWxDb2TnYzs7BdnYetrVztFQ7CyFQWlqK4OBg2eiRPYoPgbkitVp9x8ixubjazDnYzs7BdnYOtrPzsK2doyXa2dvbu0H5FJ8ETURERORsDICIiIiozWEA5GQ6nQ6LFi3i6fQtjO3sHGxn52A7Ow/b2jlcoZ05CZqIiIjaHPYAERERUZvDAIiIiIjaHAZARERE1OYwACIiIqI2hwGQE7377rsICwuDh4cHoqKikJOTo3SVWpXly5fjd7/7HTp06AB/f3888sgjyMvLk+W5efMmkpKS4Ovri/bt2+Pxxx9HYWGhLE9BQQHGjh0LvV4Pf39/vPjii6iurnbmo7Qqr732GlQqFWbOnCmlsZ0d49dff8WECRPg6+sLT09P9OvXD/v27ZOuCyGwcOFCBAUFwdPTEzExMTh58qSsjKtXryI+Ph5eXl4wGAyYMmUKysrKnP0oLstkMmHBggUIDw+Hp6cn7r33Xrz66quys6LYzk2za9cu/OlPf0JwcDBUKhW++OIL2XVHtevhw4fx4IMPwsPDAyEhIXj99dcd8wCCnGLDhg1Cq9WK9PR0cfToUZGYmCgMBoMoLCxUumqtRmxsrFizZo3Izc0VBw8eFH/84x9Fly5dRFlZmZRn2rRpIiQkRGRkZIh9+/aJ3//+9+L++++XrldXV4u+ffuKmJgY8dNPP4mtW7cKPz8/MXfuXCUeyeXl5OSIsLAw0b9/fzFjxgwpne3cfFevXhWhoaFi0qRJIjs7W5w+fVp8++234tSpU1Ke1157TXh7e4svvvhCHDp0SPz5z38W4eHhory8XMozevRoMWDAALFnzx7xww8/iG7duom4uDglHsklLV26VPj6+ootW7aIM2fOiE8//VS0b99evPXWW1IetnPTbN26VcyfP19s3rxZABCff/657Loj2rW4uFgEBASI+Ph4kZubK9avXy88PT3FP/7xj2bXnwGQkwwZMkQkJSVJ700mkwgODhbLly9XsFat26VLlwQAsXPnTiGEEEVFRcLd3V18+umnUp6ff/5ZABBZWVlCiFt/YdVqtTAajVKe999/X3h5eYmKigrnPoCLKy0tFd27dxfbt28XDz/8sBQAsZ0dY86cOeKBBx6o87rZbBaBgYHijTfekNKKioqETqcT69evF0IIcezYMQFA7N27V8rzzTffCJVKJX799deWq3wrMnbsWPFf//VfsrTHHntMxMfHCyHYzo5iGwA5ql3fe+890bFjR9m/G3PmzBERERHNrjOHwJygsrIS+/fvR0xMjJSmVqsRExODrKwsBWvWuhUXFwMAfHx8AAD79+9HVVWVrJ179uyJLl26SO2clZWFfv36ISAgQMoTGxuLkpISHD161Im1d31JSUkYO3asrD0BtrOjfPXVVxg8eDCeeOIJ+Pv7Y9CgQVi9erV0/cyZMzAajbJ29vb2RlRUlKydDQYDBg8eLOWJiYmBWq1Gdna28x7Ghd1///3IyMjAiRMnAACHDh3Cjz/+iDFjxgBgO7cUR7VrVlYWHnroIWi1WilPbGws8vLycO3atWbVkYehOsGVK1dgMplkvwwAICAgAMePH1eoVq2b2WzGzJkzMXToUPTt2xcAYDQaodVqYTAYZHkDAgJgNBqlPPa+B8s1umXDhg04cOAA9u7dW+sa29kxTp8+jffffx8pKSmYN28e9u7di+eeew5arRYJCQlSO9lrR+t29vf3l113c3ODj48P2/m2l156CSUlJejZsyc0Gg1MJhOWLl2K+Ph4AGA7txBHtavRaER4eHitMizXOnbs2OQ6MgCiVikpKQm5ubn48ccfla7KXefcuXOYMWMGtm/fDg8PD6Wrc9cym80YPHgwli1bBgAYNGgQcnNzkZqaioSEBIVrd/fYtGkTPvnkE/zv//4v+vTpg4MHD2LmzJkIDg5mO7dxHAJzAj8/P2g0mlqrZAoLCxEYGKhQrVqv5ORkbNmyBd9//z3uueceKT0wMBCVlZUoKiqS5bdu58DAQLvfg+Ua3RriunTpEu677z64ubnBzc0NO3fuxNtvvw03NzcEBASwnR0gKCgIvXv3lqX16tULBQUFAGraqb5/NwIDA3Hp0iXZ9erqaly9epXtfNuLL76Il156CU8++ST69euHp556CrNmzcLy5csBsJ1biqPatSX/LWEA5ARarRaRkZHIyMiQ0sxmMzIyMhAdHa1gzVoXIQSSk5Px+eefY8eOHbW6RSMjI+Hu7i5r57y8PBQUFEjtHB0djSNHjsj+0m3fvh1eXl61fhm1VSNGjMCRI0dw8OBB6TV48GDEx8dLP7Odm2/o0KG1tnE4ceIEQkNDAQDh4eEIDAyUtXNJSQmys7Nl7VxUVIT9+/dLeXbs2AGz2YyoqCgnPIXru3HjBtRq+a86jUYDs9kMgO3cUhzVrtHR0di1axeqqqqkPNu3b0dERESzhr8AcBm8s2zYsEHodDqxdu1acezYMTF16lRhMBhkq2SoftOnTxfe3t4iMzNTXLx4UXrduHFDyjNt2jTRpUsXsWPHDrFv3z4RHR0toqOjpeuW5dmjRo0SBw8eFNu2bROdOnXi8uw7sF4FJgTb2RFycnKEm5ubWLp0qTh58qT45JNPhF6vFx9//LGU57XXXhMGg0F8+eWX4vDhw2LcuHF2lxEPGjRIZGdnix9//FF07969zS/PtpaQkCA6d+4sLYPfvHmz8PPzE7Nnz5bysJ2bprS0VPz000/ip59+EgDEypUrxU8//STOnj0rhHBMuxYVFYmAgADx1FNPidzcXLFhwwah1+u5DL61eeedd0SXLl2EVqsVQ4YMEXv27FG6Sq0KALuvNWvWSHnKy8vFs88+Kzp27Cj0er149NFHxcWLF2Xl5OfnizFjxghPT0/h5+cnnn/+eVFVVeXkp2ldbAMgtrNj/POf/xR9+/YVOp1O9OzZU3zwwQey62azWSxYsEAEBAQInU4nRowYIfLy8mR5fvvtNxEXFyfat28vvLy8xOTJk0VpaakzH8OllZSUiBkzZoguXboIDw8P0bVrVzF//nzZsmq2c9N8//33dv9NTkhIEEI4rl0PHTokHnjgAaHT6UTnzp3Fa6+95pD6q4Sw2g6TiIiIqA3gHCAiIiJqcxgAERERUZvDAIiIiIjaHAZARERE1OYwACIiIqI2hwEQERERtTkMgIiIiKjNYQBEREREbQ4DICK6K02aNAmPPPKI0tUgIhfFAIiIiIjaHAZARNSqffbZZ+jXrx88PT3h6+uLmJgYvPjii1i3bh2+/PJLqFQqqFQqZGZmAgDOnTuH//iP/4DBYICPjw/GjRuH/Px8qTxLz9Ff//pXdOrUCV5eXpg2bRoqKyuVeUAiahFuSleAiKipLl68iLi4OLz++ut49NFHUVpaih9++AETJ05EQUEBSkpKsGbNGgCAj48PqqqqEBsbi+joaPzwww9wc3PDkiVLMHr0aBw+fBharRYAkJGRAQ8PD2RmZiI/Px+TJ0+Gr68vli5dquTjEpEDMQAiolbr4sWLqK6uxmOPPYbQ0FAAQL9+/QAAnp6eqKioQGBgoJT/448/htlsxocffgiVSgUAWLNmDQwGAzIzMzFq1CgAgFarRXp6OvR6Pfr06YPFixfjxRdfxKuvvgq1mh3nRHcD/k0molZrwIABGDFiBPr164cnnngCq1evxrVr1+rMf+jQIZw6dQodOnRA+/bt0b59e/j4+ODmzZv45ZdfZOXq9XrpfXR0NMrKynDu3LkWfR4ich72ABFRq6XRaLB9+3bs3r0b3333Hd555x3Mnz8f2dnZdvOXlZUhMjISn3zySa1rnTp1aunqEpELYQBERK2aSqXC0KFDMXToUCxcuBChoaH4/PPPodVqYTKZZHnvu+8+bNy4Ef7+/vDy8qqzzEOHDqG8vByenp4AgD179qB9+/YICQlp0WchIufhEBgRtVrZ2dlYtmwZ9u3bh4KCAmzevBmXL19Gr169EBYWhsOHDyMvLw9XrlxBVVUV4uPj4efnh3HjxuGHH37AmTNnkJmZieeeew7nz5+Xyq2srMSUKVNw7NgxbN26FYsWLUJycjLn/xDdRdgDREStlpeXF3bt2oVVq1ahpKQEoaGhWLFiBcaMGYPBgwcjMzMTgwcPRllZGb7//nsMGzYMu3btwpw5c/DYY4+htLQUnTt3xogRI2Q9QiNGjED37t3x0EMPoaKiAnFxcXjllVeUe1AicjiVEEIoXQkiIlcxadIkFBUV4YsvvlC6KkTUgtifS0RERG0OAyAiIiJqczgERkRERG0Oe4CIiIiozWEARERERG0OAyAiIiJqcxgAERERUZvDAIiIiIjaHAZARERE1OYwACIiIqI2hwEQERERtTkMgIiIiKjN+f+ifH+pYsYSHAAAAABJRU5ErkJggg==\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** What impact does increasing the exploration phase to 20 steps have compared to 5 steps?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "---------------\n", "\n", "**Q:** How can you determine the optimal balance between exploration and exploitation in practice?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "bJA36WlkmTO2" } }, { "cell_type": "markdown", "source": [ "**Q:** We know that UCB is optimal. Why might ExpFstAg perform better in practice? \n", "**A:** PUT YOUR ANSWER HERE :) (Discuss how hyperparameter tuning and early exploitation can sometimes yield higher rewards in finite-time scenarios.)" ], "metadata": { "id": "_s3Mzu36FvPc" } }, { "cell_type": "markdown", "source": [ "## Skewed Arms Scenario \n", "We now consider a skewed probability distribution where one arm is significantly better." ], "metadata": { "id": "SpAs4CLFFx-a" } }, { "cell_type": "code", "source": [ "skewed_p = [0.1, 0.2, 0.15, 0.21, 0.3, 0.05, 0.9, 0.13, 0.17, 0.07,\n", " 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01]\n", "# TODO: Compare UCB_Ag and ExpFstAg (max_ex=len(skewed_p)) in skewed scenario (Simple placeholder)\n", "print(\"Running skewed arms experiment... (Simple)\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 687, "referenced_widgets": [ "f040448782d6437eb05911a856a23ad3", "08796e4b7968442db3b146704442ab5b", "ce422bd984f24d8fbfb8c7d3a89f5f24", "ff71612d00484c0db3ce36390eb2efdb", "f55c70ac7a5a4dd2bacc667b8e3a115c", "4b7a15c9e8b94b1091496566550953ef", "9d0d79c63892434fa4f8f54f9d1878d5", "c1f1358442334cf98c11e46071681ef3", "94d6250f084f4a27adaf71a871ae3989", "d30a8f5199cf492fb0682275d1850c02", "f7e8b5c69a804c2b9ecb282810039f71", "0d7504edf4ae42d2bb72c3fb58c9fbfc", "cd106a95964d41ada77008b2db0557f7", "6d6ea2e722d444269ebe37beff80faa7", "dfae60be56024145922feeff932003a9", "e37dfc56afaf4abd9e6bb2c1e23f6203", "45ce6bdb740447538deedf952b6c3574", "f9560560459b4c95b6715c2c9fb14b61", "40125179bc5048799fac519bcfb92f5e", "278e2c4ce1ec491dbca1a3603bebcfa3", "a198b5c17fc747d797f91e2e50554955", "e2389ae6a392495f866f414ba45435f5", "6ae55956a2454147a8aebbedccf8da02", "c1f6b2330d184f298168ed679763f993", "93ffbdaab16f45d8aea8c3f80f6ab9ac", "ac4d56db666647288f75cb42a3c46a16", "4631a6596242410a8158fa799262d540", "a5d18cc7163b43c5b7d44cb092650527", "959bbdd0f2294f89b5cbd73888f87c12", "a000d4fe341c44f69762129212ebf8e6", "0f8581f2faff4e2bbf3f4aa53c4b3386", "7fb4d2ee002a4b78931e4820f1ab6897", "9b9302f17d114ac68e30adfde7c941f9", "47e549d3c9ec4be4a611fcfb0159dd42", "1019452cf56a4c36b41200f81d4771c0", "2aeb8742e0074e58bb99b2d8a0d394a6", "9371848078d942d3af04f776135926fe", "72d2ec42db2649c18f2a655aaf8be8eb", "1da51f5803c9424eb5dabf583de0f3b0", "348c6fd92cef48b1a3d22bca850eedbe", "cb7884b58eb94447b8e2ebc1590c5241", "69de06b830424f849ea5cf0b138fc1d2", "4f7e2a3cc8b846ae949474c00def62c4", "dd0f9f5771b9449793a4b8906fd49395" ] }, "id": "2jF_8VmDF16i", "outputId": "362a9a41-506a-4adc-ccdf-9efc0d64eff8" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Result Analysis:** \n", "- In skewed scenarios, ExpFstAg with limited exploration may miss the best arm. \n", "- UCB_Ag, with its adaptive bonus, typically outperforms under such conditions." ], "metadata": { "id": "71puZc4hGIh1" } }, { "cell_type": "markdown", "source": [ "## EpsGdAg (Epsilon-Greedy Agent) \n", "This agent selects the best-known action with probability (1-ε) and a random action with probability ε." ], "metadata": { "id": "BtSdQLjJGJ-5" } }, { "cell_type": "code", "source": [ "@dataclass\n", "class EpsGdAg:\n", " n_act: int\n", " eps: float = 0.1\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " self.act_counts[act] += 1\n", " self.Q[act] += (1.0 / self.act_counts[act]) * (rew - self.Q[act])\n", "\n", " def get_action(self):\n", " # TODO: Choose random action with probability eps [Simple]\n", " sel_act = 0 # Placeholder\n", " return sel_act" ], "metadata": { "id": "THham-blGNRV" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Analysis:** \n", "- Lower ε values favor exploitation, yielding higher reward when estimates are good. \n", "- Higher ε increases exploration but reduces immediate reward. \n", "- One strategy: decay ε over time (e.g., ε = ε₀ / t) or switch to ε = 0 after a burn-in period.\n", "\n", "-----------\n", "\n", "**Q:** Why does a high ε value result in lower immediate rewards? \n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "----------\n", "**Q:** What benefits might there be in decaying ε over time?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n" ], "metadata": { "id": "vdwZ2PCXGUgU" } }, { "cell_type": "code", "source": [ "# TODO: Plot reward curves for EpsGdAg with epsilons [0, 0.1, 0.2, 0.4] (Simple placeholder)\n", "print(\"Running EpsGdAg experiments with various eps values... (Simple)\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 815, "referenced_widgets": [ "30bc7530eb7242fbbb2b5e9b29e80ca5", "e0c393d1ad524186a5d821383b8f22f6", "c8f6b525c73e4d1cb0f7ec275420d59c", "782a005808fc4bddb0321051a07c51c9", "6610f7b0f38e4bd59c811ce5a550737b", "581fe22a7227405fa6ebbc6c9e11ed92", "8a95494980e04f7d8361af5c0ea435be", "b82c9a7d32454563887e133fa0c3f5c4", "e32c7515b90c4460aedfbe2520410129", "698deb3a1f674fcea01d8f1480c892cf", "5c1b80d1a8e0484d9974c81cba9bdd40", "0651b0a95531490ca090e8b83d498f60", "68e5b0a417214f62baea6b1e0b2bfdb0", "eeeb5411b8354cbdbc693872fbb88198", "d0fce650b02e4582bf9fd5f81e5276a7", "41df28ff94ae4e96ac9695aa35ca28f5", "62764be7b91d49fa836580611a64944e", "9e87660e80f444acb2e8328f85da0d81", "e808716af93e405f806501d1b7d26f74", "fa1bb095de744073bbe5855cd4d61ef8", "caa378e445c248f8b996490ce31269d0", "2f103622502742189ac3eecadc9e8ab4", "41fec83acbb64ebd9143b14a642047af", "f9c43e6f6b0843a8a939b0440c7655ce", "d970bd4fb4414cc2a9599ca442e29d9d", "c6ab7ca0e96c40ea8fb68ed531a0cf9e", "cac184ef8e4944c4b395856ccfdf5dc5", "b7fc2b82b876428a8c31a237d1c0bc55", "58fbfed2784449d7a212c4b4e4e6dfff", "38fcbf5a99ac451bbe3dfc7f5b86051b", "6e144ef14dfc44949c3f888c30410e88", "0d1561599ae747e2a0bf24702df6428b", "191b36d85e30496fb5dcc0ebf4b17c1b", "8e7e7409c2e04fd2acae81858bf6340f", "736d9b8706014b4092769a46a46512a4", "21ab75e98c654818a6939ae68a4c148d", "8fddb3c0e22f488194c955052620e403", "88f4a5b79f3348a38ff837bcc4ea67f3", "ce7ac4047ae141f3aaa75d0284db71ca", "8605b7ad71084f29a25ac148af7a5ea7", "8eb4f2f8beba4496ba9ef069f4f1208f", "d79085496dff4598a51aeb6eaf279309", "2831d263499a4b78886e640ba45d350e", "bd4055a054ba4990bd5f67c29fc45ee4", "9749943895f24110a30a5fd46dea6e68", "cef25921e96c4761a219de25bc4ae86a", "bd59fa528a2e4c8cb208b486836f862f", "8c541c3f43204c94a0d5b8e81b350ac0", "c526898cb2f14768b17a308f2955e24d", "4b9b19b7573e444e8f61f26b7a69ea4c", "e4990bd0076047d0b3a311b3ba6aa993", "4523668bb119477dbbdf72c31df82b41", "873c8348596f40e9ab710305db54a2ae", "1382202ba8d1479380c9c2b97892f949", "02866da8a05b453dbeae1d6472922e17", "069b05e435004efa839f634a3336b174", "665cef1536764576b2698d1a245571d6", "de7fc82cbb40478e942ac4238583f3b7", "2a53116dd1e0469292bc23fd3ce8afa3", "37c36d859f9544978c56a9f05ae32b30", "d9ab50932cd24d16aef476743a7e07b4", "e363b935b73c4c9380b736c9f859c54d", "8ed159123d624db39e13e6c9580d54f4", "8573388686cf4cb3b542029d0bd001ad", "b5447c324d624feeac97fe0bafeb519c", "303ac2cb55e6402ca6b568097308917c", "cebf578e29c741dc8bdb0438427a9df5", "86eee8cb88ff494bbeba4ecc4251a4d4", "8aae4b60b9934090a83bfa234737438e", "05715210015d43799d92212d96298dbc", "adbff5517efa43b7901696d52ecf8c1e", "42df2c1341e648ce8e94d705bb08d290", "0fd0eb82fb80411cb24c1c2bef3f2145", "8dddf35ff98c40b5a0a5c82d3f36dc24", "3040c350cb564456b5963a116c848128", "2a25134c714b48c0b6261387922f4e96", "1b58fb1ff794468f8d1b1ab1f4d1c555", "46fef77a13b34428bf5621c9e7bf66e2", "2aba7824eef34f4dbdfb0a3fc369a9c9", "2f695ed3a610450e8cbb04aa04064ef6", "c4edc121d5034828a1384ccd917cd090", "1e18f141086542d5bcf5e9c5b348898d", "92885703d1ac41d6825865caf9d4ef12", "b91e925f5f8c48548e04977249646275", "786823f001ae4cb38f6bbdecd1d0ee45", "f0063284f3d24ce88bf88dfa537d6022", "a62e09ed07a9461e987e36c262ff01ca", "17d7f3cd65e34e409eac13179324a523" ] }, "id": "SSotZiK4GbY2", "outputId": "0d1b1a39-e5b0-4060-dcbf-567141f659d3" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** How do the reward curves for different ε values reflect the exploration–exploitation balance? \n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "------------------\n", "\n", "**Q:** Under what circumstances might you choose a higher ε despite lower average reward?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n" ], "metadata": { "id": "5krzDxEgoSWx" } }, { "cell_type": "markdown", "source": [ "## Contextual Bandits (CtxBnd) \n", "We now move to contextual bandits using real data. \n", "Imagine a website promoting one of 10 products; reward = 1 if clicked, 0 otherwise. \n", "The dataset has shape [10000, 102]: \n", "- Column 0: chosen arm \n", "- Column 1: reward \n", "- Columns 2-101: 100-dimensional context features" ], "metadata": { "id": "TuGwvDC9Gh8G" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "# Download the dataset (if not already downloaded)\n", "!wget -q http://www.cs.columbia.edu/~jebara/6998/dataset.txt -O dataset.txt" ], "metadata": { "id": "JsC3zvWWGi2t" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# TODO: Load dataset.txt into a numpy array of shape [10000, 102] (Simple placeholder)\n", "ctxData = None # Placeholder\n", "print(\"Dataset loaded (Simple version):\", ctxData)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "5w_D25PNGrRV", "outputId": "17df6aab-7bb9-41f6-81cb-00baaaa29b6b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Dataset shape (Solution): (10000, 102)\n" ] } ] }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class CtxBnd_Env:\n", " data: any\n", " t: int = 0\n", "\n", " def step(self, act):\n", " if act == self.data[self.t, 0]:\n", " rew = self.data[self.t, 1]\n", " else:\n", " rew = None\n", " self.t += 1\n", " return rew\n", "\n", " def reset(self):\n", " self.t = 0" ], "metadata": { "id": "NSwUAQgVGyOT" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## LinUCB_Ag (LinUCB for CtxBnd) \n", "This agent uses context features to compute an upper confidence bound for each arm." ], "metadata": { "id": "oyRgS7PvG3Mw" } }, { "cell_type": "code", "source": [ "@dataclass\n", "class LinUCB_Ag:\n", " n_act: int\n", " alpha: float\n", " feat_dim: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.As = [np.eye(self.feat_dim) for _ in range(self.n_act)]\n", " self.bs = [np.zeros((self.feat_dim, 1)) for _ in range(self.n_act)]\n", "\n", " def get_ucb(self, a, state):\n", " # TODO: Compute UCB for arm a given state (Simple placeholder)\n", " p = 0 # Placeholder\n", " return p\n", "\n", " def update_params(self, a, rew, state):\n", " if rew is None:\n", " return\n", " # TODO: Update A and b for arm a (Simple placeholder)\n", " pass\n", "\n", " def get_action(self, state):\n", " # TODO: Compute UCB estimates for all arms (Simple placeholder)\n", " p_est = [0 for _ in range(self.n_act)]\n", " # TODO: Choose arm with highest UCB (Simple placeholder)\n", " sel_act = 0\n", " return sel_act" ], "metadata": { "id": "tAynv60kG7Gn" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Q:** How does LinUCB leverage context to outperform classical bandit algorithms? \n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "------------------\n", "\n", "**Q:** What is the role of the α parameter in LinUCB, and how does it affect the exploration bonus?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "GuWTVL-roilP" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class CtxBnd_Eng:\n", " data: any\n", " agent: any\n", "\n", " def __post_init__(self):\n", " self.env = CtxBnd_Env(data=self.data)\n", "\n", " def run(self, n_runs=1):\n", " logs = []\n", " for _ in tqdm(range(n_runs), desc='CtxRuns'):\n", " aligned_ctr = []\n", " ret_val = 0\n", " valid_steps = 0\n", " self.env.reset()\n", " self.agent.reset()\n", " for t in tqdm(range(self.data.shape[0]), desc='Time'):\n", " state = self.data[t, 2:]\n", " act = self.agent.get_action(state=state)\n", " rew = self.env.step(act)\n", " self.agent.update_params(act, rew, state=state)\n", " if rew is not None:\n", " ret_val += rew\n", " valid_steps += 1\n", " aligned_ctr.append(ret_val / float(valid_steps))\n", " logs.append(pd.DataFrame({'aligned_ctr': aligned_ctr, 'step': np.arange(len(aligned_ctr))}))\n", " return pd.concat(logs, ignore_index=True)" ], "metadata": { "id": "vCrJit0BHB-H" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "def ctxBnd_swp(alphas, data, n_runs=2000):\n", " logs = []\n", " for alpha in tqdm(alphas, desc=\"Alpha Sweeps\"):\n", " agent = LinUCB_Ag(n_act=10, feat_dim=100, alpha=alpha)\n", " eng = CtxBnd_Eng(data=data, agent=agent)\n", " log_df = eng.run(n_runs)\n", " log_df['alpha'] = alpha\n", " logs.append(log_df)\n", " return pd.concat(logs, ignore_index=True)\n" ], "metadata": { "id": "rcY6JubQHECs" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# TODO: Run ctxBnd_swp with alphas = [0, 0.01, 0.1, 0.5] and n_runs=1 (Simple placeholder)\n", "print(\"Running LinUCB sweep (Simple version)...\")\n", "logs_ctx = None # Placeholder" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 305, "referenced_widgets": [ "f9c19dffcb364bc795194eb795a01d0f", "c1f0f4a4b0b44fd39f2956071c21efb7", "607b98fa454a46d08baf7869a4e1ddd8", "32f30eeff37042698956416e6579fc35", "1c84cb7e103a46068d245bc36f215b40", "f427b454c2594075a4e9cf00c81827a8", "43459e0df0074f74a3fd91bafd8a7516", "0d2954349bf8438ca63d79c93bb5088a", "6789d9f51b1c4cb3aca0164bbf5e47fa", "ff06d43749c047b5825e856c01cf8962", "71948c7f856c406cacb7ee42cea9d786", "9828dd55cf534729bf65fb9b40f2825e", "4a6d491e4c964c83a7b34a7ae508d6a7", "fe12736256f84cc4b9a1fd9c167e1943", "1ae6682d409647339d57c8cfa6383ad3", "ec9a757207a64d0aa53cc15f9693d435", "f5f8823471b14e3ea90ce2dd2c9b934d", "94d3467602be498b95d40003d94e1c05", "5d2ed14d70244fd7831c0a7a052710ed", "15ce254622be45e0a280928af317c6ca", "12e038cbe35849348935590c7e257dff", "e977e73f28404c50ac26657187ffb7df", "6347069863844bc2953481978889bdd7", "94dc672dfc714c2aa1f5a3532eda6444", "5ecf6823318e4d1e976679be97d41db8", "a58e484e59d541089c4e2b54570fb25e", "8e85e39e796e4c34b70c2e4625a85136", "e4a670488fa543ab950fbf47fdaea381", "0e616ce8e3804a26be8f1deb6227a1bf", "2eb61d0f2e7b4e9996b8deacd7d0e05a", "feae12474afa43a29ec4d60c90ec9f90", "67a6e1ef21544e3383c70fd1528dd62c", "20ed2660e3a44c619644251684392ba3", "4454ad8719f44d498be63446870d18ea", "9a26ade84a6a4531a13759e4ca553247", "8d251232a9c041608bb209d98122018f", "83a7615613e742acb3a53f960915c9e6", "bd6492c3fb6849c79099c33825ed1caf", "6d2df7f206704d15b8e5bd10193b9a26", "9121e7b4e93b4cfd90061c394921cb52", "3b80bf6d628a4ef2bdefbc28f190f2c4", "0d625582f34f415d81160d4d6620da02", "2833a85e64a84f48acaa8913152c43b3", "72cdc240fd954d6983bf72ebffb9733f", "8341004959dc45f08b01387f3948eeb5", "d51bbd18142548279b57041d56223385", "a07aedfd100442958d3d2cfa0af6aa57", "f2babb4d0f434911843bb5b0ca2334c7", "4752e89d232d42aa95af3e2a8d14a487", "5c2e226f0bf147819f5f92332fbbae90", "7a78a505f40d4aab8cfda449e56ae484", "64b4b4991e4d4d938b6bb7e7f35e8610", "a7eab3284fdd4fd9a0829db73740ca3f", "244eecca982141889d2a4068c7a466ae", "01fa0f68901d4ee8a6d4c41371d4ed47", "dd7a7d811eb3401c8a91fb051ae01b30", "9bbb8ac1e8b74175a251c9f39ac24347", "79679f6c07ef45f39d2f686af733310b", "6d7930e7f542407ba78850924118dd5e", "223a35ef90cd4207bcd9f397e9f064f1", "0ee65337c7644ae99e9db1de4093d327", "b0dc0090e60a4a2b98937667c96c44db", "af9c1f2240044de0a8779bbd22a55728", "c19ea85ee1e64abfa1c7376bbd65f22c", "de49ca96ae8246b9ad5785454d2b8565", "6aefec84b16a4e4fa3ee889882e995ef", "bc84d660073242b0a233b8035aa77992", "3cc1ff2176964e1ba7cb16dd7ab67ba5", "6062cfb240d1426dbb6436923fcf4264", "d3edb56e052e4e95a513b1f0f341227d", "5e02e26c0aa241418e07607aed756435", "a83ff8815b6a41d8a51768f3d7ff5401", "5da5ace33ab9453dba973b05f8ba460c", "e8e974d485c54340a9e5e9a5f9c4e16c", "5a429fa1c3374b44bd94affe9ca4c641", "fd7ef990ebc54ff0bafb0bbf860244f3", "a9a8ea23bb814de9ab2c02215f8fbc96", "980db9675fca4a1f8e163e89518f711a", "eb647bf13dfd479995cadcc930d7381b", "f4318ce4e89d40d1b7e7921e299d2d02", "233247bac49547b0be279dffaa47f33a", "fd52a5a30b5d449ba20db85e6898b325", "dce626afd3604ffbbbe546b2501c4fd8", "8774891a2bf241dbaee6d1cbd31f9232", "29c28d3956e648d7a174d409f0fa057b", "d43b25797f2f4d21b707aa13f106d55a", "9ae12914a2d149d5aa73594bf212dfc8", "67b4963c6ed24d6884e27862927a39c2", "94a029d010784f4cbb1ca40700a348eb", "4cd6589e913344fb8c74576f49c5b70a", "6e5d7d526b2f4e748de92d7c333aa5d3", "db246b9288fe47048f9699530af735be", "ca42dbacfdd74b24afb6f06c4837e1c6", "fd76590aace8420599c7e877864fe020", "f37251577a354bf79382ed0dbc07bbdb", "7e8b3890000341e49a6a0bccc69c8b52", "fa50043b42ee44f8adf305195e40e5a4", "b592cb9ca12b44fa963010f8bbfb376b", "47cb28b5ad934a5c9cb8eb6baf0a8443" ] }, "id": "LIFaadHSHHVF", "outputId": "4667f4a8-6925-48c5-cfe6-7914a540635d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alpha Sweeps: 0%| | 0/4 [00:00:8: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** What does **α** affect in LinUCB? \n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "------------------\n", "\n", "**Q:** Do the reward curves change with **α**? Explain why or why not.\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "Sq3jmaYnHKXn" } }, { "cell_type": "markdown", "source": [ "**Q:** Based on your experiments, does LinUCB outperform the standard UCB algorithm? Why or why not?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)\n", "\n", "------------------\n", "\n", "**Q:** What are the key limitations of each algorithm, and how would you choose between them for a given application?\n", "\n", "**A:** PUT YOUR ANSWER HERE :)" ], "metadata": { "id": "hZE7mWmDI-XS" } }, { "cell_type": "markdown", "source": [ "# Some final question\n", "## Finite‑Horizon Regret and Asymptotic Guarantees:\n", "Question:\n", "Many algorithms (e.g., UCB) are analyzed using asymptotic (long‑term) regret bounds. In a finite‑horizon scenario (say, 500–1000 steps), explain intuitively why an algorithm that is asymptotically optimal may still yield poor performance. What trade‑offs arise between aggressive early exploration and cautious long‑term learning?\n", "Deep Dive:\n", "Discuss how the exploration bonus, tuned for asymptotic behavior, might delay exploitation in finite time, leading to high early regret despite eventual convergence.\n", "\n", "\n", "## Hyperparameter Sensitivity and Exploration–Exploitation Balance:\n", "Question:\n", "Consider the impact of hyperparameters such as ε in ε‑greedy, the exploration constant in UCB, and the α parameter in LinUCB. Explain intuitively how slight mismatches in these parameters can lead to either under‑exploration (missing the best arm) or over‑exploration (wasting pulls on suboptimal arms). How would you design a self‑adaptive mechanism to balance this trade‑off in practice?\n", "Deep Dive:\n", "Provide insight into the “fragility” of these parameters in finite runs and how a meta‑algorithm might monitor performance indicators (e.g., variance in rewards) to adjust its exploration dynamically.\n", "\n", "\n", "## Context Incorporation and Overfitting in LinUCB:\n", "Question:\n", "LinUCB uses context features to estimate arm rewards, assuming a linear relation. Intuitively, why might this linear assumption hurt performance when the true relationship is complex or when the context is high‑dimensional and noisy? Under what conditions can adding context lead to worse performance than classical (context‑free) UCB?\n", "Deep Dive:\n", "Discuss the risk of overfitting to noisy or irrelevant features, the curse of dimensionality, and possible mitigation strategies (e.g., dimensionality reduction or regularization).\n", "\n", "## Adaptive Strategy Selection:\n", "Question:\n", "Imagine designing a hybrid bandit agent that can switch between an explore‑first strategy and UCB based on observed performance. What signals (e.g., variance of reward estimates, stabilization of Q‑values, or sudden drops in reward) might indicate that a switch is warranted? Provide an intuitive justification for how and why such a meta‑strategy might outperform either strategy alone in a finite‑time setting.\n", "Deep Dive:\n", "Explain the challenges in detecting when exploration is “enough” and how early exploitation might capture transient improvements even if the long‑term guarantee favors UCB.\n", "\n", "\n", "## Non‑Stationarity and “Forgetting” Mechanisms:\n", "Question:\n", "In non‑stationary environments where reward probabilities drift or change abruptly, standard bandit algorithms struggle because they assume stationarity. Intuitively, explain how and why a “forgetting” or discounting mechanism might improve performance. What challenges arise in choosing the right decay rate, and how might it interact with the exploration bonus?\n", "Deep Dive:\n", "Describe the delicate balance between retaining useful historical information and quickly adapting to new trends, and the potential for “chasing noise” if the decay is too aggressive.\n", "\n", "## Exploration Bonus Calibration in UCB:\n", "Question:\n", "The UCB algorithm adds a bonus term that decreases with the number of times an arm is pulled. Intuitively, why might a “conservative” (i.e., high) bonus slow down learning—even if it guarantees asymptotic optimality? Under what circumstances might a less conservative bonus be beneficial, and what risks does it carry?\n", "Deep Dive:\n", "Analyze how a high bonus may force the algorithm to continue sampling even when an arm’s estimated reward is clearly suboptimal, thereby delaying convergence. Conversely, discuss the risk of prematurely discarding an arm if the bonus is too low.\n", "\n", "\n", "## Exploration Phase Duration in Explore‑First Strategies:\n", "Question:\n", "In the Explore‑First agent (ExpFstAg), how does the choice of a fixed exploration period (e.g., 5 vs. 20 steps) affect the regret and performance variability? Provide a scenario in which a short exploration phase might yield unexpectedly high regret, and another scenario where a longer phase might delay exploitation unnecessarily.\n", "Deep Dive:\n", "Discuss how the “optimal” exploration duration can depend heavily on the underlying reward distribution’s variance and the gap between the best and other arms, and why a one‑size‑fits‑all approach may not work in practice.\n", "\n", "\n", "## Bayesian vs. Frequentist Approaches in MAB:\n", "Question:\n", "Compare the intuition behind Bayesian approaches (such as Thompson Sampling) to frequentist methods (like UCB) in handling uncertainty. Under what conditions might the Bayesian approach yield superior practical performance, and how do the underlying assumptions about prior knowledge influence the exploration–exploitation balance?\n", "Deep Dive:\n", "Explore the benefits of incorporating prior beliefs and the risk of bias if the prior is mis-specified, as well as how Bayesian updating naturally adjusts the exploration bonus as more data is collected.\n", "\n", "\n", "## Impact of Skewed Reward Distributions:\n", "Question:\n", "In environments where one arm is significantly better (skewed probabilities), explain intuitively why agents like UCB or ExpFstAg might still struggle to consistently identify and exploit that arm. What role does variance play in these algorithms, and how might the skew exacerbate errors in reward estimation?\n", "Deep Dive:\n", "Discuss how the variability of rare but high rewards can mislead the agent’s estimates and cause prolonged exploration of suboptimal arms.\n", "\n", "\n", "##Designing for High-Dimensional, Sparse Contexts:\n", "Question:\n", "In contextual bandits where the context is high-dimensional but only a few features are informative, what are the intuitive challenges that arise in using a linear model like LinUCB? How might techniques such as feature selection, regularization, or non-linear function approximation help, and what are the trade-offs involved?\n", "Deep Dive:\n", "Provide insights into the risks of overfitting versus underfitting, the increased variance in estimates from high-dimensional spaces, and the potential computational costs versus performance gains when moving from a simple linear model to a more complex one." ], "metadata": { "id": "rGP4iFTjI-9f" } } ] }