{ "cells": [ { "cell_type": "markdown", "id": "d9ea7341", "metadata": {}, "source": [ "# First Algorithm\n", "\n", "This notebook introduces basic Coba functionality for contextual bandit learner research (i.e., algorithms).\n", "\n", "## Creating a Learner\n", "\n", "In Coba a contextual bandit learner is any class that implements the following interface.\n", "\n", "```python\n", "class Learner:\n", " @property\n", " def params(self) -> Dict[str,Hashable]:\n", " \"\"\"(Optional) Return the hyperparameters for the learner.\"\"\"\n", " def score(self, context: Context, actions: Sequence[Action], action:Action) -> float:\n", " \"\"\"(Optional) Return the propensity score for the given action.\"\"\"\n", " def predict(self, context: Context, actions: Sequence[Action]) -> Action | Tuple[Action,float]:\n", " \"\"\"Choose which action to take.\"\"\"\n", " def learn(self, context: Context, action: Action, reward: Reward, probability: float, **kwargs) -> None:\n", " \"\"\"Learn from the results of an action in a context.\"\"\"\"\n", "```\n", "\n", "For example, below we define a new learner that we call `MyRandom` which we will demonstrate how to evaluate in this notebook." ] }, { "cell_type": "code", "execution_count": 4, "id": "a2d28943", "metadata": {}, "outputs": [], "source": [ "import coba as cb\n", "\n", "class MyRandom:\n", " def __init__(self,seed):\n", " self._rng = cb.CobaRandom(seed)\n", " @property\n", " def params(self):\n", " return {\"seed\": self._rng.seed}\n", " def score(self, context, actions, action) -> float:\n", " return 1/len(actions)\n", " def predict(self, context, actions):\n", " return self._rng.choice(actions)\n", " def learn(self, context, action, reward, probability):\n", " pass" ] }, { "cell_type": "markdown", "id": "9abb0ffd", "metadata": {}, "source": [ "## Validating MyRandom" ] }, { "cell_type": "markdown", "id": "c2140211", "metadata": {}, "source": [ "Using Coba's synthetic datasets and baseline learners we can quickly validate that our learner is working as expected. To do this:\n", "+ We create a simple linear environment with a single context feature.\n", "+ We compare our learner's performance to a RandomLearner (learners learning anything should beat this)\n", "+ We compare our learner's perofmrnace to a BanditUCBLearner (learners using context features should beat this)" ] }, { "cell_type": "code", "execution_count": 5, "id": "7945be28", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import coba as cb\n", "\n", "env = cb.Environments.from_linear_synthetic(n_interactions=100, n_context_features=1, n_action_features=0, n_actions=5, seed=3)\n", "lrn = [cb.RandomLearner(), cb.BanditUCBLearner(), MyRandom(seed=2) ]\n", "\n", "cb.Experiment(env,lrn).run(quiet=True).plot_learners()" ] }, { "cell_type": "markdown", "id": "ab74641d", "metadata": {}, "source": [ "We expected `MyRandom` to perform the same as `cb.RandomLearner` and worse than `cb.BanditUCBLearner`.\n", "\n", "What we actually see above is that `MyRandom` did worse than both `cb.RandomLearner` and `cb.BanditUCBLearner`.\n", "\n", "It seems plausible that `MyRandom` is doing worse due to chance. We make two changes to our experiment to rule this out:\n", "1. We set `n_interactions` to `500` instead of `100`. This will give `cb.BanditUCBLearner` more time to learn.\n", "2. We add `shuffle(n=10)` to our environment to create 10 shuffled copies. This is the coba equivalent of `sklearn.model_selection.RepeatedKFold`.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "c2fc8aa0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import coba as cb\n", "\n", "#Increased the number of interactions to 500 and created 10 shuffled copies of our environment\n", "env = cb.Environments.from_linear_synthetic(n_interactions=500, n_context_features=1, n_action_features=0, n_actions=5,seed=3).shuffle(n=10)\n", "lrn = [cb.RandomLearner(), cb.BanditUCBLearner(), MyRandom(seed=2) ]\n", "\n", "cb.Experiment(env,lrn).run(quiet=True).plot_learners(err='bs')" ] }, { "cell_type": "markdown", "id": "db19e0b2", "metadata": {}, "source": [ "With those two changes we now we see what we expected: \n", "+ `MyRandom` is performing similarly to `cb.RandomLearner`. \n", "+ `MyRandom` is performing worse than `cb.BanditUCBLearner`.\n", "\n", "This outcome is merely meant as an example. In practice, had `MyRandom` been an actual contextual bandit algorithm it should have beaten both `cb.RandomLearner` and `cb.BanditUCBLearner`. To demonstrate how a real contextual bandit algorithm performs we repeat example using `cb.VowpalEpsilonLearner` instead of `MyRandom`." ] }, { "cell_type": "markdown", "id": "9749fa84", "metadata": {}, "source": [ "## Real Learner Performance\n", "\n", "The toy learner we made above obviously wasn't going to do well since it just randomly selected actions. \n", "\n", "How about if we use a real linear contextual bandit learner? Does it outperform both the `cb.RandomLearner` and `cb.BanditUCBLearner`?" ] }, { "cell_type": "code", "execution_count": 9, "id": "ecb0ecdf", "metadata": {}, "outputs": [ { "data": { "image/png": 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80LJlS2uysm3bNvTt2xf9+vXDpUuXEB8fj+3bt8NisdhUvouKijBjxgzr+Bpvb2/4+PggOzu7wmu48j0ref9btmxps12tViMiIuKa96CEuGI8VXWUJGEVrf1RncHvLVu2xODBg8s9yo6rAYBmzZqVO9bDw8NmfFSnTp3QunVr6+cIkBNhb2/vKg0sv/I+A/K9joyMLLf9yt/FyuIsSRLLxgkAwcHB5WbrcnNzK9f9ryQhLTk+LS0N2dnZ+Oqrr8p9PidMmACg9PNZ3Zgq8vLLL8PZ2Rk9evRAy5YtMWnSpEq7iZV8njgLGRERNVYcA1MFPXr0KDdG4EparRYKRf3lg1dWLC0WCyRJwpo1ayqcmamkLzwAfPjhh3j44YexcuVKrF+/Hs8++yzmzJmDXbt2ITg4GA4ODti6dSs2bdqEv//+G2vXrsWyZctw8803Y/369ZXO/BQYGIi+ffti+fLleOWVV7Br1y4kJibivffes4kTAObOnYvOnTtXeJ6ysVampMIMALfffjuUSqV13ZOS98piseCWW27BSy+9VOE5WrVqZf25T58+2LhxI4qKirB//37MmDED7du3h7u7O7Zt24aTJ0/C2dnZZlrgZ555BosXL8aUKVMQHR0NNzc3SJKEMWPGVJjs1fZMWJ6enpAkqUoV2MoEBAQAkNeNuVJSUhICAwNrfO6KVPbZuTIJGz16NGbPno309HS4uLjgzz//xNixY23G01SmNu5zVeOsrNy1ji/5fDzwwAPlxvqUKBl7Vd2YKtKmTRvExMRg1apVWLt2LX799Vd88cUXmDFjBmbNmmVTNisrC46Ojpy5jYiIGi0mMHUoNDQU//zzD/Ly8mxaYU6dOmXdX/KvxWJBQkKCzbfxV856dDXNmzeHEALh4eE2FfPKdOjQAR06dMBrr72GHTt2oHfv3liwYAHefvttAIBCocCgQYMwaNAgzJs3D++88w5effVVbNq0yZo4VGT06NF46qmnEBMTg2XLlsHR0RF33HGHTZwA4OrqetXzVNerr76Kr7/+Gq+99pq1S17z5s2Rn59fpdfp27cvFi9ejKVLl8JsNqNXr15QKBTo06ePNYHp1auXTSVyxYoVGD9+PD788EPrtuLiYmRnZ1cp5pL3PzY21qZlwWg0IiEhAZ06dbrq8SqVCs2bN7fOhlcT7du3h0qlwr59+2ymYjYYDDh06FC56Znry+jRozFr1iz8+uuv8PPzQ25urk1XreoKDQ1FTExMue1X/i7WFx8fH7i4uMBsNtfq78HVWk2cnJwwevRojB49GgaDAXfffTdmz56N6dOn20yJnpCQYG2ZIiIiaozYhawOlSy0+Nlnn9ls/+ijjyBJEoYNGwYA1u5oV65f8umnn1b5te6++24olUrMmjWr3DeyQghkZGQAkKfNNZlMNvs7dOgAhUJh7UaUmZlZ7vwlrSUVdTUq65577oFSqcTPP/+MX375BbfffrvNeidRUVFo3rw5PvjggwpXek9LS7v2xVbA3d0djz/+ONatW4dDhw4BkGdG27lzJ9atW1eufHZ2ts19KOka9t5776Fjx47WLj99+/bFxo0bsW/fPpvuY4D8jfiV9/rTTz8t15WtMt26dYOPjw8WLFgAg8Fg3f7tt99WOQmKjo7Gvn37qlS2Im5ubhg8eDB++OEH5OXlWbd///33yM/Pv+r6MXWpTZs26NChA5YtW4Zly5YhICAA/fr1q/H5brvtNuzZs8dmQc+CggJ89dVXCAsLKzdWp64plUrcc889+PXXX3Hs2LFy+2v6e+Dk5FRh98WS3/8SGo0Gbdu2hRACRqPRZt+BAwfQq1evGr0+ERFRfWALTB264447MHDgQLz66qs4e/YsOnXqhPXr12PlypWYMmWKtTUiKioK99xzD+bPn4+MjAzrNMqnT58GULW+6M2bN8fbb7+N6dOn4+zZs7jzzjvh4uKChIQE/P7773jsscfwwgsv4N9//8XTTz+NUaNGoVWrVjCZTPj++++tFSoAePPNN7F161YMHz4coaGhSE1NxRdffIHg4GCbQdAV8fX1xcCBAzFv3jzk5eWVG3StUCjwzTffYNiwYWjXrh0mTJiAoKAgXLx4EZs2bYKrqyv++uuvmtxuTJ48GfPnz8e7776LpUuX4sUXX8Sff/6J22+/3TpVb0FBAY4ePYoVK1bg7Nmz8Pb2BiCPN/L390dMTIzN5An9+vXDyy+/DADlEpjbb78d33//Pdzc3NC2bVvs3LkT//zzj8302lejVqvx9ttv4/HHH8fNN9+M0aNHIyEhAYsXL67yGJiRI0fi+++/x+nTp8u1vJW0ph0/fhyAnJT8999/AIDXXnvNWm727Nno1asX+vfvj8ceewwXLlzAhx9+iFtvvRVDhw6tUhwHDhzADz/8UG578+bNER0dXaVzXGn06NGYMWMGdDodJk6ceF1dNKdNm4aff/4Zw4YNw7PPPgtPT08sWbIECQkJ+PXXX+u1+2eJd999F5s2bULPnj3x6KOPom3btsjMzMSBAwfwzz//VPhFwrVERUVh2bJlmDp1Krp37w5nZ2fccccduPXWW+Hv74/evXvDz88PJ0+exGeffYbhw4fbtA7v378fmZmZ1kk3iIiIGqV6n/fMjpRM07p3796rlhs/frxwcnKqcF9eXp547rnnRGBgoFCr1aJly5Zi7ty5NlMICyFEQUGBmDRpkvD09BTOzs7izjvvFDExMQKAePfdd63lSqZRrmyK419//VX06dNHODk5CScnJ9G6dWsxadIkERMTI4QQIj4+Xvzvf/8TzZs3FzqdTnh6eoqBAweKf/75x3qOjRs3ipEjR4rAwECh0WhEYGCgGDt2rM10xBVNo1zi66+/FgCEi4uLKCoqqjDOgwcPirvvvlt4eXkJrVYrQkNDxX333Sc2btxY8U2+4nXnzp1b4f6HH35YKJVK6xTVeXl5Yvr06aJFixZCo9EIb29v0atXL/HBBx8Ig8Fgc+yoUaMEALFs2TLrNoPBIBwdHYVGoyl3LVlZWWLChAnC29tbODs7iyFDhohTp06J0NBQMX78eGu5a32OvvjiCxEeHi60Wq3o1q2b2Lp1q+jfv/81p1EWQp5e2NvbW7z11lvl9uEq0xtfadu2baJXr15Cp9MJHx8fMWnSJJGbm3vN17/WNMpl70NoaKgYPnx4uXNUdq2xsbHW8/z333/l9lc2jXJFryGEEGfOnBH33nuvcHd3FzqdTvTo0UOsWrXKpkzJlMVXTjNe0ee9f//+FU5NXFkMAMSkSZNstqWkpIhJkyaJkJAQoVarhb+/vxg0aJD46quvahRTfn6+uP/++4W7u7sAYJ1SeeHChaJfv37W37fmzZuLF198UeTk5Nic8+WXXxbNmjUr9/8TERFRYyIJcR1TGFGdOnToELp06YIffvgB48aNa+hwqJF66623sHjxYsTGxlY60JvoWvR6PcLCwjBt2jRMnjy5ocMhIiKqFMfANBIVrbcxf/58KBSK6+r7T03fc889h/z8fCxdurShQyE7tnjxYqjV6nJrTBERETU2bIFpJGbNmoX9+/dj4MCBUKlUWLNmDdasWYPHHnsMCxcubOjwiIiIiIgaBSYwjcSGDRswa9YsnDhxAvn5+WjWrBkefPBBvPrqq1Va+4KIiIiI6EbABIaIiIiIiOwGx8AQEREREZHdYAJDRERERER2g4MrKmCxWHDp0iW4uLhUaRFJIiIianhCCOTl5SEwMLBBFqglovrBBKYCly5dQkhISEOHQURERDVw/vx5BAcHN3QYRFRHmMBUwMXFBYD8H6Crq2sDR0NERERVkZubi5CQEOvfcSJqmpjAVKCk25irqysTGCIiIjvD7t9ETRs7iBIRERERkd1gAkNERERERHaDCQwREREREdkNJjBERERERGQ3mMAQEREREZHdYAJDRERERER2gwkMERERERHZDSYwRERERERkN5jAEBERUYVWx6+2q/MS0Y2BCQwREVE9sMdkYE3CGrs6LxHdGJjAEBHdwOqy8muv564rTAaIiGoHExgiIjtQVxX2uqz82uO57TExIiK60TCBIaJGyR4rkvbYlYds8T7XPiEEhBAAALPFjHxDPvRmPXINuQ0cGRHZK1VDB0BEVJE1CWtwW8RtdXLu1fGr6+TcdRkzNS1CCBSZigAARosRTmonqBTyn2Sj2YhCUyEMZgN0Kh1cNC61/vpGixEGswESJCgkBczCjKziLAgIZBVn4Vj6MSQVJCEuOw7z989Htj4bSQVJyCjKgMFiQKGxEDqVDkazEU4aJ+QU5yDULRTuWndk67ORrc9GgaEA+cZ8FBgLoFFqIEFCoanQGsN3x7/D012ervVrI6KmjwkMEd1wbrREI6s4CzqVDg4qh0rLCCEgSZLNNoPZgOSCZJzIPIHDqYeRUZxhreS6adygVWohSXIFWCkpIUkSPHWeaOfVDiEuIdbzWIQF2fps6E16ZBRnwE3jBl8nX2iV2mpfi8liQlZxFvIMediXvA8qhQoZRRlIL0qHs8YZfo5+UEgK6M16OKgc4Kx2hrPGGS4aFziqHMtdY3UIIayV9wJjAeJz4pFckIxsfTayirOQo89Bll6OrdhUDL1Zj2JzMQxmAwKcAnA+7zwmrJ2AQlMhkvKTkKXPsp7bXeuO5u7NcTH/IpILkq3blZISfYP7wkvnhXxjPkwWEwqMBcgszkRGUQYEBBxUDvj04KdILki2PtKK0uCp84RWqYXJYip9CBPUCjWyirNgsBiqdN3/d+z/rl6gQP4ntSi10iIlyVpZJoupSq9PRHQlJjBE1VRX397XpbqK2R7vRVOSXpSOo2lHcTT9KI6kH8HJjJMwWUzQqXTw1Hki35iP7OJsFJuL4aBywOBmg+GgckCxWa5c6816HE47jPFrxiM+Jx6OKkcMbDYQJosJx9OP42TmSZiFucbxaRQa9FvaD3nGvHKVVQeVA6IDoq3JhsFsgN6sh0VY4KJ1Qb4hH1qlFgXGAigkBQxmA9KL0pFZnAkBuTvShHUTqhWPQlJAAQWi/KMwrvU4WIQFBaYCnMs9h1x9LvKMeTiafhTj14xHriEXKQUp0Jv11tezCEuN70dmcSYAYF/Kvgr3Z+uzsT9lf7ntZmHG5vObr3n+r458VW7bxfyL1YpRp9QBANx17mjm0gxtPNtg0/lN6BvcF24aN/g7+cPH0Qdqhdra+qJRapBvyIdKoUJMVgwUkgKeOk+4adzgonGBk9oJjmpHGMxysuSscYajyhEvbH4BU6KmVCs+IqISTGCIqskev72vq5jt8V7YC7PFjCx9FtKL0lFkKsKlgkv4+sjXSClMwbH0Y7iUf8nmG/yyCk2F1gpziSJTEf6K/6vC8lmp8nmy9dn48eSPNvt0Sh2CXYJxU8BN8Hfyh6fOE5IkIUefA5PFZK3UCyFgEiYcSj2E2KxYpBWlwWAxwKAv/ZZfKSnh5eCFXH0uikxF+Pf8vzW6NwpJAZWkQqBzIAxmA7wdvOHp4GltBREQUCvUKDYVI9+Yj3xDPkxCjtUCC3Yn7cbupN2Vnj+jOOOaMeiUOvg7+SPMLQweWg+469zhrnWHh9YDrhpX6FQ6aJVaOKgcoFQocSb7DL4//j3Gtx8PJ7UTPHWeCHcLt3bh2peyD7n6XAQ4ByDMNQzOGmeoJBUOpx3GgdQDcmKq1EGj1FiP99R54nDaYSw8shCDmg2Cv5M//Bz94O/kD28Hb2QUZcAiLFApVDaPQmMh3LRuCHQOhEVYrONTHNWO5a7zXO45TOsxrUrvS4+AHlUqB+C6WsKIiJjAEDUSbM1o2gqNhUjMS0RmcSYUkgJJ+Uk4ln4MZmFGriEXcdlxcFA5wEPrgfSidMRmx8IiLDbnOJ112ua5BAnN3Zujg3cHdPDpgPZe7eGkdkKRqQiZxZlw1bjCTesGT50n9qfsx4mME7AICzRKjbWCvezUMjza8VG4ad1wMuMkLuZfhIvGBeFu4ejm1w3+Tv41qmxezL+I6Vun4/Xo1+GicYGXgxfUCjUAuSvWzks7EZcdB61SC41SA61Sa+1SlqXPgpvWTR5foXaCWZihUqjg4+ADH0cfeGg9MGXTFHw66NMqxSKEQLG5GPmGfFzMv4hFxxYhrTANKoUKWqUWzVybwVPnCReNC/468xce7/Q4nNXO8HX0hZPayeZ+O6od4ahyhFKhrNb9aO3ZGmsT1mJY+LAK9/cJ6lPh9s6+ndHZt3Ol523j1QbbL27Haze9Vm5fuFt4tWIkIrIXTGCoSbLHZICtGTVTYCzAhbwL0Kl0yNZn40TGCSTkJOBS/iVr5d1R5QiVQoXeQb3R1qvtVc9nERbk6HPgrnWHgIBCUli3pxamQikpYREWpBelI60oDWlFaUgvTLd2PxqyYggKTYVQSApIkKCUlDAJU7kWkapQSAp4aD2gU+lQaCzEgJABcNe6o513O4S5hiHEJaTCb80r0je4L/oG9y23fcv5Lbg17FYAQM+AntWOsTJBzkFw07qhpUfLcvskSUKvoF7oFdSr1l7vaiRJgoPKAQ4qB/g4+uCTmz+ptOy+5H24JfSWeomLiIhqhgkMNUlMBhq/5IJkHEg5gJOZJ6E363E25yzO553HmNZj4KpxRUZRBjKKMlBkKkKuIRdH045iZ9JOFJuLYTKbYLQYUWQqQmxWLEyiaoOBPzv0Gdp6tkVyYTLe3fMuNEoNUgpSkFyQjJTCFAghkKXPQpGpCI4qRxSaCqGSVNCpdNCb9TBajNd1ze5ad/g4+kAIAXetOzp4d4CT2gk6lQ4RbhHWwe4KSYHu/t3h4+Bj/ab/mY3P4M3eb17X6xMRETUFTGCIqNYZzAaoFWpIkoQCYwEScxPh7eCNLH0WNiZuxKbETTiZebLCYz/Y94H15wHLB1Tp9Ty0Hig2F8NZ7Yw2Xm3QzKUZwt3CkWfIQ2ZxJopNxUguTMbWC1txLOMYAJQb63GlkuleTcKEfGM+AEAlqWCBBRIkeOm84O3oDR8HH3g7eMNV64rNiZvxRq834K51Lx0bcnkAeIBTANy0blW6HiIiIqocExgiqjGzMGPHpR34N/FfnMg4gcziTGQWZ6LIVAQPrQeCnINwKutUhdOlKiQF2ni2QSefTnDWOFundj2TfQYWWHAw5SBMwmSdCjfQORD9g/vDz8kPaoUaaoUaKoUKYa5hCHMLq1K88dnxSMhNwGcHP0O/4H4wmA3wdfSFv5O/PNYDEty17vB28EZcdpx1W7G5GCqFCv6O/rDAAgUUFY6BSMhOQFe/rtd7W4mIiOgqmMBQg7HHcSr2zmg2Irkw2boeiLeDd6VlSxba05v1yDfmY+uFrbiQdwEqhQo5+hykFKZgT/IebLu4rcLjs/RZ1lmy3LRuyDPkQSWp0CuwF25udjP6h/SHp86z0td/+p+n8dHNH1kHfteGCPcIRLhH4I/YP/Bc1HNXLVvZwGklqjd4m4iIiGoXExhqMBynUveEENh6YStOZp7EuNXjEJMZA71Zb93vonGB2WJGM9dmCHQKRKGpEGmFaXDVuuJc7rkqDTz3cfBBr8Be6B/SHz4OPvDUecJV44qL+ReRmJeItl5tEeoaCpPFBCEE1MqqJSSSJNVq8kJE1VfZrGmN9bxEdGNgAkNkx0pW5XbVuEKSJCQXJOPHkz/iZMZJQAIu5V/C+bzzAICUwhQA8jiOkkHveYY8AMCpzFM4lXmq0tdRSSo0d2+OXkG9YLaY4apxhZ+TH349/SsWD10MlaL8fyXuOnm2LOs5KihDVFP2WAG2x2Sgrr5k4pdXRHQ9WKMgqoIcfQ7WnV1Xq9PMVldSfhL+TvgbqYWpyDfkY0/yHmtS4qpxBQDkGnLLHadT6uDt4I3JUZPR2qM1Ql1DYRZmFJmKkFqYCrMwY/vF7QAAT50nPHQeyNZnI8w1DBFuEdaF+Cqy8dxGJiZ2ri4rv/ZYsbbHmJkMENGNhjUPoqsoNBbi+xPf49vj3yLfmI8QlxAEOwdj6aml0Cq16BHQA0HOQdf9OiWrYW85vwWJeYnQm/VILkiGyWJCoakQJzJO4Hze+XILG5Yom7hE+UXhtvDb4Kh2hKvGFW292mLWjlkYGjbUWkYlqeCicYGLxgUA0Mqj1XVfA9mnuqz82mPF2h5jJiK60TCBIbqC2WJGTFYMfjz5I9adXWczZuR83nmczzuPnUk7Acjdoub2m4t+wf2gUWquee58Qz72p+yHJElIyEnA3uS9OJV5ytqSsuXilqseH+UXhTaebaBT6dAzoCdaebSCg8oB8dnx0Kl0cFA5INA58Dqunhore+wyRUREVBeYwFCTll6UjqT8JBSbi+GqccWK0ytwOO0wHunwCAKcAvB3wt/YcHYD8ox56OrXFc3dmmPbxW1IyEmwniPMNQxPdX4KqYWp1jVK3LXucNe642zuWTy3+Tn4Ofrhj5F/wFnjXC6G5AJ5/ZH4nHisjFtpXVOkIhqFBt0DusNT64kA5wBolVoAQDuvdghxCUEz12YVHld2rAk1HHvsfkRERGRvmMBQk1RkKsInBz7B/x37vwq7XT2/5fly27Zf3G4dCyJBQnvv9ngu6jl08+sGSZJgERaEuITgy0Nf4v+G/h80Cg3Grx2PExknkFKYgif+eQLDI4YDAJSS0nrOrRe22qwU7+/kD51ShyCXIEQHRKODdwc0c22GaVun4aOBH1m7dZH9YZJBRERU9xo8gfn8888xd+5cJCcno1OnTvj000/Ro0ePSstnZ2fj1VdfxW+//YbMzEyEhoZi/vz5uO02ueLwxhtvYNasWTbHREZG4tSpymdYoqYjrTANnx36DLuTd2N38m4AgJ+jH7RKLdKK0hDmGgYXjQtOZp6EwWzAwJCBuD3idpiECX+d+QvuWnd46jwxOnI0/Jz8bM6tkBS4udnN+D32d+ug+R9u+wHfn/geH+3/CIfTDuNw2uEK4+ri2wUt3FugjVcb3N3i7goHxTuoHJi8lGGvg8uJiIiobjVoArNs2TJMnToVCxYsQM+ePTF//nwMGTIEMTEx8PX1LVfeYDDglltuga+vL1asWIGgoCCcO3cO7u7uNuXatWuHf/75x/pcpWrwPI1qyGA24O94eeat/3X4X4XrgsRmxeKX079ArVDjj7g/rAPau/h2wZ0t7sRdLe6CJEk2x1S0JsmgZoOqHZ9aocb9re/HpsRNyNZno6VHS+v58wx5iPKLwi2htyDSM7La577RcXA5ERERVaRBa/bz5s3Do48+igkTJgAAFixYgL///huLFi3CtGnTypVftGgRMjMzsWPHDqjVcsUzLCysXDmVSgV/f/86jZ3qVmphKr47/h3+SfwHF/MvAgD8nPxwZ4s7rWXyDHnYcmEL5u6da7PgYhvPNtApdfhu2HeVnr82p/7VqXT4/rbva+18RERERFS5BktgDAYD9u/fj+nTp1u3KRQKDB48GDt37qzwmD///BPR0dGYNGkSVq5cCR8fH9x///14+eWXoVSWdsmJjY1FYGAgdDodoqOjMWfOHDRrVvHgZwDQ6/XQ60tnmsrNLb+WBtWPM9ln8NnBz7D90nYUmYps9u1K2oU7Iu7AmrNrsDp+NXYl7YLRYgQAuGndMCR0CJq5NsOY1mPwwuYXGiJ8IiIiIqpjDZbApKenw2w2w8/PdpyBn59fpeNV4uPj8e+//2LcuHFYvXo14uLi8NRTT8FoNGLmzJkAgJ49e+Lbb79FZGQkkpKSMGvWLPTt2xfHjh2Di0vF4wvmzJlTbtwM1S+jxYhvj32LLw9/aU1KwlzD8FC7h+Cl88LkTZPxd/zfiM+Ox8nMk9bjItwiMDh0MB5q+xDctG4NFf4Ni2NJiIiIqL7Z1eAQi8UCX19ffPXVV1AqlYiKisLFixcxd+5cawIzbFhphapjx47o2bMnQkNDsXz5ckycOLHC806fPh1Tp061Ps/NzUVISEjdXowdWR2/ulbHDJgtZiyNWYrDaYfx2cHP0MazDb44/AVOZ50GAPQN6ouxrceiR0APaJVa6M16678nM0/CWe2Mh9o+hCFhQxDhHlFrcTVldZVocCwJERER1bcGS2C8vb2hVCqRkpJisz0lJaXS8SsBAQFQq9U23cXatGmD5ORkGAwGaDTlFxJ0d3dHq1atEBcXV2ksWq0WWq22hlfS9K1JWFOrFdWP9n+EJSeWAAAWHllo3e6qccW0HtNwe8TtNoPutUotJrSfgLUJa9EzoCee6PQEvB28ay2eGwETDSIiImoqFA31whqNBlFRUdi4caN1m8ViwcaNGxEdHV3hMb1790ZcXBwsltJ1PU6fPo2AgIAKkxcAyM/Px5kzZxAQEFC7F0A1silxE747IQ+u93f0R4RbBBSSAqMjR2PVXatwR/M7ys0YBgCTOk/CX3f9hddueo3JCxEREdENrEG7kE2dOhXjx49Ht27d0KNHD8yfPx8FBQXWWckeeughBAUFYc6cOQCAJ598Ep999hkmT56MZ555BrGxsXjnnXfw7LPPWs/5wgsv4I477kBoaCguXbqEmTNnQqlUYuzYsQ1yjVTqUOohTN0yFQICo1qNQlphGuYPnI98Yz7HrxARERFRlTRoAjN69GikpaVhxowZSE5ORufOnbF27VrrwP7ExEQoFKWNRCEhIVi3bh2ee+45dOzYEUFBQZg8eTJefvlla5kLFy5g7NixyMjIgI+PD/r06YNdu3bBx8en3q+PSuUZ8vDa9tdgspgwqNkgvNLzFTy36TkoFUomL5dxQDwRERHRtTX4IP6nn34aTz/9dIX7Nm/eXG5bdHQ0du3aVen5li5dWluhUS0QQuDzQ59jecxyZOmz4Ovoizd7v1mr67A0FRynQkRERHRtrEVSnfr3/L/WgfouGhd8dvNncNW4NnBU14ctJUREREQNp8EG8VPTl2fIw7t73gUA9Avuh1V3rUIbrzYNHNX1Y0sJERERUcNhAkN1Ii4rDo9veBzJBckIdg7G3H5z4anzbOiwiIiIiMjOsQsZ1br0onQ8tuExpBWlQaPQYE7fOXBUOzZ0WERERETUBDCBoVpjtpjx7/l/8fGBj5FWlIYw1zB8NugzhLqG1nssHKdCRERE1DQxgaFakV2cjcmbJuNA6gEAgL+TPz6++eMGSV4AjlMhIiIiaqqYwNB1E0Jg1s5ZOJB6AI4qR4xtPRbj242Hh86joUMjIiIioiaGCQzVWHx2PA6nHcaJjBP4J/EfqCQVFg1dhHZe7Ro6NCIiIiJqopjAUI1cyLuA+1ffjwJjgXXbC91fYPJCRERERHWKCQxViRACZ7LPIMwtDAazAS9vfRkFxgKEuIQg0iMSA0IGYGSLkQ0dJhERERE1cUxgqEqWxSzD7N2zMaH9BJzOPI0j6UfgonHBwlsWIsQlpEbn5ExhRERERFRdTGDomoQQmL17NgBg8bHFAAAHlQO+GPRFjZMXgDOFEREREVH1KRo6AGrcTBYT4nLiym3/oP8H6Ozbuf4DIiIiIqIbGhMYqpQQAm/vehsX8y/abL8l9Bb0C+7XQFERERER0Y2MXcjIxo8nf8SW81vwwYAPsOPSDvwa+ysA4P1+76N3UG9sPLcRQ8OHNnCURERERHSjYgJDVpfyL+HdPe8CAJbHLMfPp34GAIS6hFoH3N/V8q4Gi4+IiIiIiAlMPdq2fz0Ox5xAaGAg7hhwX62ee3X86hoPijdZTNidtBtfHfnKuu3jAx8DAIKcg9DMtVmtxEhEREREdL04BqYerd6+Bx8caYnft8fW+rnXJKyp8bGLjy3GE/88gQOpB8rtm9ZjGpSS8npCIyIiIiKqNUxg6pFSIQGQB8c3FmaLGctilgEAFJICXwz6wrpvaNhQDAgZ0ECRERERERGVxy5k9UghyfmipfHkL1h8fDFSClPgpnXDxlEboVVq8W7fdxGTGYOnuzzd0OEREREREdlgAlOPFAo5gWks+ct/F/+zjnW5v/X90Cq1AIDhEcMxPGJ4Q4ZGRERERFQhdiGrRyUtMI2lB9n6s+sBACOaj8CTnZ5s4GiIiIiIiK6NCUw9Upa0wDSCDMYiLNh6YSsA4PaI2yFJUgNHRERERER0bUxg6pFSajxdyHZe2omM4gw4qhzRza9bQ4dDRERERFQlTGDqkUIhT0fc0IP4jWYj3tv7HgB5YUq1Ut2wARERERERVRETmHqkaiRjYL478R0SchLgqfPEU52fathgiIiIiIiqgbOQ1aOSFpiGzF8+2v8RFh1bBACY0nUKXDWuDRgNEREREVH1MIGpR6WD+Ov/tdOL0rHqzCpr8jKi+QiMbDGy/gMhIiIiIroOTGDqkbKBWmDyDHl4YPUDuJh/EQDQK7AXZveZXc9REBERERFdP46BqUcVdSErMBYgvSi9Tl/3kwOfWJMXABgdObpOX4+IiIiIqK6wBaYeqUsSmDIZzK0rbkWuIRfbx26vk/EoRaYi/BX/FwBgUudJ8HbwxsCQgbX+OkRERERE9YEJTD0qbYGRIIRAvjEfuYZcAEB8djw6+3au9ddcm7AWBcYCBDsH47GOj0EhsdGNiIiIiOwXa7P1qGQMDARgtBhtunXVhfSidHy0/yMAwL2t7mXyQkRERER2jzXaeqSytsAoYDAbcCHvgnVfobGw1l/vu+PfIUufhdaerfFg2wdrfJ5h4cNqMSoiIiIioppr8ATm888/R1hYGHQ6HXr27Ik9e/ZctXx2djYmTZqEgIAAaLVatGrVCqtXr76uc9YXawsMAIPFNoHJN+bX6muZLWb8Hf83AOCJjk9Ao9TU+Fy3RdxWW2EREREREV2XBk1gli1bhqlTp2LmzJk4cOAAOnXqhCFDhiA1NbXC8gaDAbfccgvOnj2LFStWICYmBl9//TWCgoJqfM76pLR24ZLkFpj80gSmwFhQq6/1T+I/SC1KhavGFX2D+9bquYmIiIiIGkqDJjDz5s3Do48+igkTJqBt27ZYsGABHB0dsWjRogrLL1q0CJmZmfjjjz/Qu3dvhIWFoX///ujUqVONz1mfJEkCIA/iv7ILWW0lMEIILD21FK9vfx0AMKrVqOtqfSEiIiIiakwaLIExGAzYv38/Bg8eXBqMQoHBgwdj586dFR7z559/Ijo6GpMmTYKfnx/at2+Pd955B2azucbnBAC9Xo/c3FybR12QLrfAlCQwlwouWffVVgLz38X/MHv3bBSZitDdvzsmdZ5UK+clIiIiImoMGiyBSU9Ph9lshp+fn812Pz8/JCcnV3hMfHw8VqxYAbPZjNWrV+P111/Hhx9+iLfffrvG5wSAOXPmwM3NzfoICQm5zqurmEIhWX82WAw2SUuBqeoJTGxWbIUJjxACXx7+EgAwPGI4Ft6yEGql+joiJiIiIiJqXBp8EH91WCwW+Pr64quvvkJUVBRGjx6NV199FQsWLLiu806fPh05OTnWx/nz52spYlvWLmRCboEpMhVZ9xUYqpbAHEo9hLv/vBtP/fNUuX3ncs/haPpRqBVqvNDtBagVTF6IiIiIqGlpsIUsvb29oVQqkZKSYrM9JSUF/v7+FR4TEBAAtVoNpbJ0Nq82bdogOTkZBoOhRucEAK1WC61Wex1XUzVyAiMASDBajCg2FVv3VbUF5o+4PwAAB1IPQAhhTYoAYF/KPgBAR5+O8Hbwrq2wiYiIiIgajQZrgdFoNIiKisLGjRut2ywWCzZu3Ijo6OgKj+nduzfi4uJgsVis206fPo2AgABoNJoanbM+lR0DU2QqgtFitO6ragtM2VaVjOIMm30lCUw3v27XGyoRERERUaPUoF3Ipk6diq+//hpLlizByZMn8eSTT6KgoAATJkwAADz00EOYPn26tfyTTz6JzMxMTJ48GadPn8bff/+Nd955B5MmTaryORtS2TEwOfocm30lLTBmi/mq50gvSrf+PHD5QOxJkte4ySrOsq770s2fCQwRERERNU0N1oUMAEaPHo20tDTMmDEDycnJ6Ny5M9auXWsdhJ+YmAiFojTHCgkJwbp16/Dcc8+hY8eOCAoKwuTJk/Hyyy9X+ZwNqXQaZQVyDbYznRUYC3A07Sie+OcJdPXtinf6vgMXjUu5c5zPsx2f88p/r+CrW7/C0YyjAIAItwh08e1SR1dARERERNSwJCGEaOggGpvc3Fy4ubkhJycHrq6utXbeNf9swJP/GNBOGYPbRzngi8NfWPeFuobCU+eJg6kHAQD9g/vj05s/tRnjIoRA9M/R5WYga+XRCqezTqObXzd8NugzOKmdai1mIiIie1FXf7+JqHGxq1nI7J11DIwo3wJzLvecNXkBgC0XtmDT+U02ZbL12RVOn3w66zSUkhLv9XuPyQsRERERNWlMYOpR2daUK8fAlBjcbDDGth4LANh5yXbxzYScBACAn6Mf9o7bi3ta3mPdF+4aDl9H39oOmYiIiIioUWnQMTA3mtLxPJK1BcZT54nM4kxrma5+XWER8ixrecY8m+MPpx0GALT3bg+dSodnuz6L5u7N0dytOX4+9XPdXwARERERUQNjC0w9KmmAsZRJYPyd/G1aTrr6doWrRu63m2ewTWAOpR4CAHT26QxATn4ebPsgegX1qtvAiYiIiIgaCSYw9ahkDAxQ2oXMUeWIqVFTAQA6pQ6tPFtZZx8rm8AIIXAo7RAAoLNv5/oJmIiIiIiokWEXsnqkKDONcnxOPABAp9LhtvDbAAC+jr5QK9QVtsC8t/c9ZBZnQqfUoY1Xm3qOnIiIiIiocWACU58uj4EpO2+1g8oBkiRheMRw67aSFphcvdzNrNBYiJ9O/gQAePWmV6FVausnXiIiIiKiRoZdyOqRwjoLWelsZA4qh3LlrF3ILg/iTy5IhoCAi9oFd7a4s67DJCIiIiJqtJjA1KPSaZRLb7tOqStXriSBKTIVwWg2IqkgCQDg5+RX5zESERERETVmVe5CNnXq1CqfdN68eTUKpqkrHcRf2gKjU5VPYJzVztaf84x5SC5IBgAEOAXUaXxERERERI1dlROYgwcP2jw/cOAATCYTIiMjAQCnT5+GUqlEVFRU7UbYhCisY2BKW2Aq6kKmVCjhonZBnjEPufpcawsMExgiIiIiutFVOYHZtGmT9ed58+bBxcUFS5YsgYeHBwAgKysLEyZMQN++fWs/yiZCqmAMTEUtMIDcjSzPmIc8Q15pAuPMBIaIiIiIbmw1GgPz4YcfYs6cOdbkBQA8PDzw9ttv48MPP6y14JoaSVFBF7IKxsAAsFkLpqQLmZ8jx8AQERER0Y2tRglMbm4u0tLSym1PS0tDXl5eBUcQUDoGxlImgSm71ktZJQlMUkESEnISALALGRERERFRjRKYu+66CxMmTMBvv/2GCxcu4MKFC/j1118xceJE3H333bUdY5MhWReyLJVRnFFh2ZIE5o2dbyCtKA2uGldEekbWdYhERERERI1ajRayXLBgAV544QXcf//9MBqN8olUKkycOBFz586t1QCbktJB/BLuaXkP/jzzJ8a2Hlth2UDnQOvPjipHfH3r19akhoiIiIjoRlXtBMZsNmPfvn2YPXs25s6dizNnzgAAmjdvDicnp1oPsCkp2wIzM3omXur+EhzVjhWWndh+InZd2oUzOWfwco+X0darbT1GSkRERETUOFU7gVEqlbj11ltx8uRJhIeHo2PHjnURV5NUMojfIiRIklRp8gIAPo4+WH7HclzKv4Qwt7B6ipCIiIiIqHGr0RiY9u3bIz4+vrZjafJKBvGLMoP4r0aj1DB5ISIiIiIqo0YJzNtvv40XXngBq1atQlJSEnJzc20eVLGKBvETEREREVHV1WgQ/2233QYAGDFiRJnFGQEhBCRJgtlsrp3ompiyg/iJiIiIiKj6apTAbNq0qbbjuCGUdiEjIiIiIqKaqFEC079//9qO44aguNxaZRE16rlHRERERHTDq1ECU6KwsBCJiYkwGAw22zkzWSUUZVpghAAkdiUjIiIiIqqOGiUwaWlpmDBhAtasWVPhfo6BqZjNLGRMYIiIiIiIqq1GfZmmTJmC7Oxs7N69Gw4ODli7di2WLFmCli1b4s8//6ztGJsMheJyFzJIgLA0cDRERERERPanRi0w//77L1auXIlu3bpBoVAgNDQUt9xyC1xdXTFnzhwMHz68tuNsEkpaYMAEhoiIiIioRmrUAlNQUABfX18AgIeHB9LS0gAAHTp0wIEDB2ovuiamZBpltsAQEREREdVMjRKYyMhIxMTEAAA6deqEhQsX4uLFi1iwYAECAgJqNcCmxHYMTO0mMMPCh9Xq+YiIiIiIGqMadSGbPHkykpKSAAAzZ87E0KFD8eOPP0Kj0eDbb7+tzfiaFMlmFrLaTWBui7itVs9HRERERNQY1SiBeeCBB6w/R0VF4dy5czh16hSaNWsGb2/vWguuqSlpgbFAwS5kREREREQ1UKMuZPHx8TbPHR0d0bVrVyYv11CXLTBERERERDeCGrXAtGjRAsHBwejfvz8GDBiA/v37o0WLFrUdW5OjUNTdGBgiIiIiohtBjVpgzp8/jzlz5sDBwQHvv/8+WrVqheDgYIwbNw7ffPNNbcfYZNgM4iciIiIiomqrUQITFBSEcePG4auvvkJMTAxiYmIwePBgLF++HI8//ni1z/f5558jLCwMOp0OPXv2xJ49eyot++2330KSJJuHTqezKfPwww+XKzN06NBqx1XbOI0yEREREdH1qVEXssLCQvz333/YvHkzNm/ejIMHD6J169Z4+umnMWDAgGqda9myZZg6dSoWLFiAnj17Yv78+RgyZAhiYmKsa81cydXV1TqNMwBIUvkWjaFDh2Lx4sXW51qttlpx1YnLcbILGRERERFRzdQogXF3d4eHhwfGjRuHadOmoW/fvvDw8KhRAPPmzcOjjz6KCRMmAAAWLFiAv//+G4sWLcK0adMqPEaSJPj7+1/1vFqt9ppl6ltJnsUEhoiIiIioZmrUhey2226D2WzG0qVLsXTpUvzyyy84ffp0tc9jMBiwf/9+DB48uDQghQKDBw/Gzp07Kz0uPz8foaGhCAkJwciRI3H8+PFyZTZv3gxfX19ERkbiySefREZGRqXn0+v1yM3NtXnUBQVbYIiIiIiIrkuNEpg//vgD6enpWLt2LaKjo7F+/Xr07dvXOjamqtLT02E2m+Hn52ez3c/PD8nJyRUeExkZiUWLFmHlypX44YcfYLFY0KtXL1y4cMFaZujQofjuu++wceNGvPfee9iyZQuGDRsGs9lc4TnnzJkDNzc36yMkJKTK11AdbIEhIiIiIro+NepCVqJDhw4wmUwwGAwoLi7GunXrsGzZMvz444+1FV850dHRiI6Otj7v1asX2rRpg4ULF+Ktt94CAIwZM8Ymxo4dO6J58+bYvHkzBg0aVO6c06dPx9SpU63Pc3Nz6ySJKWmB4SB+IiIiIqKaqVELzLx58zBixAh4eXmhZ8+e+Pnnn9GqVSv8+uuvSEtLq/J5vL29oVQqkZKSYrM9JSWlyuNX1Go1unTpgri4uErLREREwNvbu9IyWq0Wrq6uNo+6UDLVAFtgiIiIiIhqpkYJTEnC8t133yE9PR379u2zJjXVGcyv0WgQFRWFjRs3WrdZLBZs3LjRppXlasxmM44ePYqAgIBKy1y4cAEZGRlXLVMvrF3IwASGiIiIiKgGatSFbO/evbUWwNSpUzF+/Hh069YNPXr0wPz581FQUGCdleyhhx5CUFAQ5syZAwB48803cdNNN6FFixbIzs7G3Llzce7cOTzyyCMA5AH+s2bNwj333AN/f3+cOXMGL730Elq0aIEhQ4bUWtw1UTqIXwEI0aCxEBERERHZoxqPgdm2bRsWLlyIM2fOYMWKFQgKCsL333+P8PBw9OnTp8rnGT16NNLS0jBjxgwkJyejc+fOWLt2rXVgf2JionUBSADIysrCo48+iuTkZHh4eCAqKgo7duxA27ZtAQBKpRJHjhzBkiVLkJ2djcDAQNx666146623GnwtmLKr1QiLGeVXryEiIiIioquRhKh+U8Cvv/6KBx98EOPGjcP333+PEydOICIiAp999hlWr16N1atX10Ws9SY3Nxdubm7Iycmp1fEwWQUGdHlrAwDgzHPNofRrXWvnJiIiutHV1d9vImpcajQG5u2338aCBQvw9ddfQ61WW7f37t0bBw4cqLXgmhqpTJOL4BgYIiIiIqJqq1ECExMTg379+pXb7ubmhuzs7OuNqcmSynQaExYmMERERERE1VWjBMbf37/CKYn/++8/REREXHdQTZVU5m5bmMAQEREREVVbjRKYRx99FJMnT8bu3bshSRIuXbqEH3/8Ec8//zyefPLJ2o6xybAZxM8uZERERERE1VajWcimTZsGi8WCQYMGobCwEP369YNWq8WLL75onc6YylNIZbuQmRswEiIiIiIi+1SjFhhJkvDqq68iMzMTx44dw65du5CWlgY3NzeEh4fXdoxNBgfxExERERFdn2olMHq9HtOnT0e3bt3Qu3dvrF69Gm3btsXx48cRGRmJjz/+GM8991xdxWr3yg7it1i4kCURERERUXVVqwvZjBkzsHDhQgwePBg7duzAqFGjMGHCBOzatQsffvghRo0aBaVSWVex2j22wBARERERXZ9qJTC//PILvvvuO4wYMQLHjh1Dx44dYTKZcPjwYUgS15W/FpsEhrOQERERERFVW7W6kF24cAFRUVEAgPbt20Or1eK5555j8lJFNoP42QJDRERERFRt1UpgzGYzNBqN9blKpYKzs3OtB9VU2UyjzBYYIiIiIqJqq1YXMiEEHn74YWi1WgBAcXExnnjiCTg5OdmU++2332ovwiakbEsVB/ETEREREVVftRKY8ePH2zx/4IEHajWYpk5hM4ifCQwRERERUXVVK4FZvHhxXcVxQ5A4BoaIiIiI6LrUaCFLqjkJcsuLhWNgiIiIiIiqjQlMPStJYMAuZERERERE1cYEpp4p2AJDRERERFRjTGDqWckoGI6BISIiIiKqPiYw9aykCxkTGCIiIiKi6mMCU89KJiLjOjBE13B0RUNHQERERI0QE5h6xhYYoiqqywSGyREREZHdYgJTz0oG8YvaHsTPChlR1fH3hZoSe0z2+TtIRNeBCUw9KzuIPymnCHvPZtbOifnHgBoCP3dEVWePyYA9xkxETZ6qoQO40UgSACGPgYme8y8A4PeneqFLM4+GDYyoJo6uADrc29BRENmHpvb7YiwCCtIAsxG4dFB+eDUHdO6AQglkxAHGYsB0+VGQBuQlAxYzkHwU2PUlcNOTDX0VRGSHmMDUM+sYmOSjALoDAHbGZzCBobrV1CpOjVVd3ue6Orc9xlyXGkvMQgDF2YDFAhRmAIZ8ufIvKYCsBMBYKD/PPg+c3wP8NVk+RpgBswnITwbUToBbMODfHvDvCDh6AcICKDVA3iW5nKOXnGykHANMejkZsZgAQwFQlAmkxwCrXwQStsnHugXJ5bLPy69hNtT8GjMTau12EdGNhQlMPbN2ITu8FCUJDGckozrXWCplJSxmQJ8nV8IyE4CMWCA9FtDnAoFdgI5jKjnOAliMgEpbv/FWlT0mA/YYc12e+2rntVgARZme1yYDkBkvf26NRUBekvy8MAPwCAfUOkCplZvehQXITgQ2vQMUZcmtFKZi+Xcg4wyQe0n+nTAUyH8ozCbAWFD1uPd/ex0XfQ17vir9OT3Gdp9SCyhUgGcE4N8ByDkvJ0HFOUBAJ0DrUnofHL0AF39AqQZ2fAb0f7nuYiaiJo0JTD1TSJdbYKypDGDmhGTUGOnzgNPr5EpWp/ttK25XUzJBhUIhV8y2fQjEbwEcPQEHD7likx5beeXswHfA+tcBlQ5Y9Zz8DbLKAYjfLH9LnHsJaBYN6FyBtBhA4wy4hwDOvvK3zO3vlr95TjsJZJ0Dzv4nf5MNCfAMByKHyd8gC1E6rznVjMkgdwvSucqVWLUDYCgEci4AWme5IpudKFfYz+0AnHzk90upklsBnHwA92aAQi0fX/YzZrHIrQlKdcWvXRcJjPlyy0PKCaAwXe7mlHRYbvXITpSvQaEC1I5ypbwwU06oqyP1ePXj0rnJ983RU+6S5RYMuAZevn8hwL7FQJs7AEkpt6YolPI+QwGQdVa+hrRTQFG2HL9ZD2hd5fMWZcm/637tAUeP0vdC7SC/XtxGIPI2IKirfM7cS/L5PSPkhMQzoma/Rwd/BJy8qn8cERGYwNQ7awtM2QRGCFgsAp/+G4eoUA/0aendMMHVs5WHLmJk56CGDqPxqI9WEn0+cHab/E2xpARaDwecLn/eSvqlJx0GLuwFjiyXKzqAnAQMeUeu0JQwG+XK69YP5MpQUSaQelKu8JiK5bL5qcDlbpPIvVBBQJJcAfNuBXi1ADRO8n3IPid3mdm3qOLrSNxh+zzlaOnP616VK2CGvIqP3TxH/veLm4BWQ+WKoYM74B4KBHSUvyEmW+mxQOwGuetS1lm5NcFYLH9OSj4jgHwvDfm2x87vUPXXcQuRk0uFUv5sCSG/Hw6ecvKpdpCTB48wOXn9b768X58nd6dy9pOTqfTT8v7iHHmf2SC3kBgK5BaB4O7y516plrtCFWXJ15V9Tu4+9WV05TFajIA+R34AgMZFrogrtXIs7iFy60pesnxvTJe7WEkK4OIBoPWwy4l8rnw9Gif5OK8Wcmwa58svJMmJiqQAVJqr37fYf4AB06p+ny1m+bylC5NV/gXFT2OAYe9W/dxERPWACUw9K0lbDGVuvcUisOZYMj765zQA4Oy7wxsgsvr31+FL9pnANMauPLlJQOx6+Vtvk0GuRDp6AmH95ApSfgqw8S05ISgqM/PdX88CPq3lb1KTj8pdYcryCJcrdYd/Bk79LbdwFGbIFaqsc3LLxsV9FceUnyL/22oo0G2inNQU58jf4roFyUmLUlP+29uBrwKpJ4BfHwPa3iFXnjPjgYj+8vU4+wBJR+SKps5NjsFslCuMJ/+Su6MBciXRMwLwbSv/CwGc3wvEbZCPTTslP8pSaoHmA4EWg+VvnC8dlFsUwnrLCY5TI/pywWKRWwlSTwIxq+UKsXcLOWm8sE9+/3VucqKqz5Ur90q1/A17yTffZqPcSrZhBgBJLpcRJ2/PT5XvocUkvx+VjXWQlHJLCVCavKgcAFPR5Z91cpmAjvJrmIrlJMBkAHIv2iY8OefLnz/3ovwom6SW+Gdm9e9bQSqQeaby/ZJCTkB0roBvOyCws9xlUViAlkPkZLckGdK5yS1IVW2B+GkMcMfH1Y+5timUVzxvgAlJG1OXViKyO0xg6llJF7JilH6jZhYCZ9JK/4i/+MthPNovAq38XOo9vnqVm9TQEdRMXbaU5KfKlUe3ShK7ggy5BSUjTq7UK9VyZfHAd9fuL3/pgPyvWzPAr53czSflqG0lXusqV9g0zkC3/8kV+fhNcpeulGPAuf9sz6nUAG1HysmDEHLlP6gr4NVS/gbdvVn1K/0KpdyX3iMUGPhKxWUCOlW8fcB0+TpVOjnZqqhiZjEDP94HtLtTLmsxyfc9/bR8T0+vlR8VCYoCfNtcHixtkVt6mt0ktwqYDXIFfNcCOSH0awckbJVbu7LOyq9lMshJgpOPXCl29JaTzmY3yYlWXpKcZCmU8nuRnwzkpcgV/vTTwJIy3YRSTsgDsWvD9tPXLhMUJT/8O8hJkKQA/NrKXY+MhXLLSWGG3JVP6yr//OujwEO/V35Oi0VOdMxGOSnIiJMTByHk81hMQEG6/FnNT5GTn8JMIOW4nFSF9pI/ewol4Nlcvs9mg9xa49tW/uxpXOSEW6W7nMynAglb5O5ipuLSz6h7qJzorpoKjFtWO/eVKscEhoiuAxOYBlIsShMYk9mCdL3J+vyX/RewPS4dO6YPaojQ6k9uLVW+KmCX3dNyLwIfd5Ircs2i5T7uCqVcEWt9u1yp3vJ+adeVK3lGyN+yl3RLSTlR+k2zUgtEDgXajADa3imPQQDkyuH5PfK3yd4tL1dOr/h2tvnNwOMDgDP/yq0djl5yZdXZB9j8HnDPNxXH4x5SCzelmlQaORm4GoVSTvy6Pig/Sgghd5W7uB84tkK+f82i5SQo5bhcIb+4X36UdfB72+drqzAwOfvc5R8uJw6x6699DCAnRFdy8AAih8vdjRJ3yt2wwvvK71HKMTmR9O94eXYpo1zBz0+Tr0upAU6vl5NQU7F8XwK7yvexZLySSid3cfLvWHlLg8ZJfpTtYujkfe3JFhQK+ThAbtlwDShfxr2ZnBRf6acxwN1fld9eFS2u8n+rPY6LqstkgIkGETVCTGDqmeLyeIAilP5hLzKacTa90KbcpZzieo2rqWnU3dNKxpoc/01uzVEo5cpi8pHSMleO8SjbVcarpfxNuFcLuTKalyS3fLS7u3zly2yUuxb98RRw33flY3HyBlrfdu2YFQqg5eDy26UmtBauJMkV//C+QJ8p5Qf55yXLiUZB2uXxAwq5+9aZTXKypnaUEx2/tkDaabmrXnD30ulrg7tdHuPgJL8npiJ57EVesjxZgj5Xbl2J6C+3cBjyAGd/OXlQ6YCtc4Fez8ifH4tJPlfLWy530bqOSvdPY4Ch71z37Wsy7DEZsMeYiYiuAxOYelZSzygq04Ws0GC26UJWIrfYCFddJTPw0NU1tu5pqafkb8PTYuTpTgtSbfdnJ8r/DpgOdBglf5NenCt/K378dzm58WkN9HwC6PJgaQvKtSgvj3ewx2+VG9qV98zFH+j60NWP+WkMcP9SOfmp6ByVqcpifgd/sL/KpD1WrO0xZiKiGwwTmHpWUp0pEqUtMGl5eiRV0OISk5yH7mGe5bZTFdRl97SsMIwsuyHnotw1xyNM7tN/YY/cFenSQcA1SO6rf3ab7Uk0LnL//U5j5D7/WeeA43+UziTk1by0bO8pcpcjjzAmIvaC75OMyQAREdWBRtH/4/PPP0dYWBh0Oh169uyJPXv2VFr222+/hSRJNg+dTmdTRgiBGTNmICAgAA4ODhg8eDBiY2Pr+jKqRAF5jYyyg/iPX5JnfvJy0uDjMZ0ReXnw/smk3PInqMTKrDD5ByGAf2cD394O7PlaXn/DUI3F0CpydEXNjxWi9NvoJuKvrFB5ML0Q8hiQjzvKY1fe9ALe8gIWDQH+fQs4tQrYs1BOXiQFEHKT3Lpy5wLg5QRg3HJ5zZIWg4HuE0vHAlxJoZAHJbNSXGusvy9ERERkdxq8BWbZsmWYOnUqFixYgJ49e2L+/PkYMmQIYmJi4OvrW+Exrq6uiIkpXQ1YuqJi9/777+OTTz7BkiVLEB4ejtdffx1DhgzBiRMnyiU79U0S5cfAZBbI05M293HGyM5BOJmUh5iUPMSllu9WVpm/si+3CpzfDWx9X95Y8q1/1/HAiE9qHnRVZt2yWOSBzx5hcr9/QB6f8dN9crepW94COo6qeQyNwYX9QGEGnjEvAeZOA1yDbdc2sVyeiEHrJo+jCOwij2vQugAdR8uDkZuaOvwWfKXLaNuWrlr0l6VXnZ3b7rAlg4iI7EyDJzDz5s3Do48+igkTJgAAFixYgL///huLFi3CtGkVL8wlSRL8/StebE4Igfnz5+O1117DyJFyFeW7776Dn58f/vjjD4wZM6ZuLqSKpMstMGXHwJRo7it/Ax/k4QAAFXYru6b4LeW3HVgCDJ1T+Tf81bX9E2DvN/LsWPcukqeO3f8tsOuL0jIlq0aXjO347RF5rYq2I4BWw+RVrMsqyJAXfXMNLN0mhLyoYmGGnBiV7VZVtkxBmjzlal3a8zWw+gUAgHUC35Lkpe8LckuKoUAejO8WLM8EVk3luqbVJjscL/BXZnDd3Y+KZruqBXwPiYiI6l6DJjAGgwH79+/H9OnTrdsUCgUGDx6MnTt3Vnpcfn4+QkNDYbFY0LVrV7zzzjto164dACAhIQHJyckYPLh0xiQ3Nzf07NkTO3furDCB0ev10OtLV5POza16163qksTlBEZUkMD4yCswB7jKlfvkaiQwEZZzwO6FpVO69ntJrvzHrpOfLx0HjFosV7BPrpIXnmtbg6pWxhlg4yy5tSH7HLDxTWD3l+XLGfJLF6hzD5XLHv9NfgR2Ae5fXlq2OAdY0AfFuWmApITOr6XcWhO/BTizsbTc+L+A8H7yz0lH5IHwe76Wpxe+9W15hqbrdWE/8N88efHEoe8AETcD+/4PWHN5alwHD+wtDkH3h9+TZ5AqzgU63ld+6uEaqNNWAVZS60VdvocrzdFsNSIiIkIDJzDp6ekwm83w8/Oz2e7n54dTp05VeExkZCQWLVqEjh07IicnBx988AF69eqF48ePIzg4GMnJydZzXHnOkn1XmjNnDmbNmlULV3RtEkoWsiy/PkKEj9xCEuAuJzBJOUVVO6kQeMr8PbAmr3RbpzHAza/KLSV/Py8vRvjVAHkK3rgNcpnh8+SxF9ewMisMI7POAZvnyIPTLaVr1tgkL77t5CTpyDJg24fytt5TgEEzgN0L5EHtMWvkfz9oiQ+FEzbMWokFxbdgv/gAABAqJWNl8uvISPoS2XBGZ0lCIXRwgB6qbR/Ki9gdWQ7E/G0b5Ob3gE73y61MeZegEQZ5cL1KV7rqePZ5eQG7NiPkgfNlFWYCOz8Htn1Quu2He2zLdH4AGPkZFr6zEN1De13zvlVbHbUKAHW3Lo5drrdTl+rwPWzUU4MTERHVowbvQlZd0dHRiI6Otj7v1asX2rRpg4ULF+Ktt96q0TmnT5+OqVOnWp/n5uYiJKRuFuFTwAygki5kJS0wbnL3o/R8A/QmM+b/E4v4tHx8fn9XqJQVzLuQFgN3lEle2t8rL2oIAN0fkVde/3WivEp11tnScutfBzrff83uTn9lhWLkH0/ZrsJ+62xg/avyz87+wD1fyytyO3rKCUv3R4ALe+UFGBVKIHqSXPbiAWT8+gIWp0Rgi6UTjooIm9c6J/zRWf91uRg8kYtPYz9F7/jxtjsiBsrJmSEP+DBSblkSFnwBAB+9Lg+e924ld0MrSJOPWfeKPAuY1kXuWrd/MXBiZek5294pL/BYcr1aN6D/S/I12OlA+rqq/LJSTURERPWtQRMYb29vKJVKpKSk2GxPSUmpdIzLldRqNbp06YK4uDgAsB6XkpKCgIDSb0NTUlLQuXPnCs+h1Wqh1V5jxehaUtqFzPb1nDRKBHs4AgA8HNXQqhTQmyz4aXcivtwsr6Z+MikPHYLdyp+0pKId3g94cKU8a1VZrW4FJqwGDv4oJzBaZyB+s1yhj98MRA67asw9xSHb5KXrQ3KCsvldOXG4Y35p164SroFA25EQQuDtVSdQaDDh3qhgAOF4U/EmDpvl1eQdJCPuDsjAGbMPTubqkFNkrDCGTLjiEePzWCNNR5giBWg+CLh/mbzOyYV9wO+PAxlx5Q8UFiDtita84hz5AQDf31m6Xe0I9H0e6PeCPLbmv4/k8T0Dptf9GBu6bkKIchN60LWxFY2IiOxNgyYwGo0GUVFR2LhxI+68804AgMViwcaNG/H0009X6RxmsxlHjx7FbbfJq4mHh4fD398fGzdutCYsubm52L17N558sgqLxdUxawJzRQtMx2B3KBVy5UuSJAS46XA2oxCz/jphLZNRoEeFzl5OLkL7lE9eSvh3AIa9W/p89YvAnq/kgfVXS2CKc3CfeZX8c69nAZ9IecV3tQ54YIXc9aqS4z/dGIsPN5y2Pv95z3mb/X6qQvz47FC08HWxbjuVnIu/Dl9Cj3Av6FQK/N9/CRjbsxm+2BSHvWez8L7PHHz0xEiolEqcuJSLCB8nGDw6ImfMFsTHHEawJh+tom7G63PewVvPTJQTkXM75JXQTcXyivXJx+TJBQ7/DJz5F/AIBe77Xr5HlyvAOcUmGLtMgrdz/SS2VHNmi8Bn/8bhq61n0DHYHWN6hCDc2wkdgtyY0FRBXbaiMTkiIqK60OBdyKZOnYrx48ejW7du6NGjB+bPn4+CggLrrGQPPfQQgoKCMGfOHADAm2++iZtuugktWrRAdnY25s6di3PnzuGRRx4BIFf+p0yZgrfffhstW7a0TqMcGBhoTZIakmRdB8a2YtwpxN3muaKCildGvqH8CXMvAacujwdpfnPVA4m8Dabd3+DH/Zno2fo0WrdqVXG5TXPghnzAqwVw82uAqkzczW5Cer4eWSl5iPBxtiZgAHAgMcsmeSnholPBzUGNl4e2xspVf9okLwDQ2t8Vrf1Lx6f0jJDHrwS46XDbx9uw+qIOq19fd9VL67pvD/KNzWF2CZJjch9tW6BZT5iDe+Dj5I7Q+hnw1IAWgFqHrEIj3B3UmL36JBZtT4BaqcBPj/RENy4mWu8uZRfhUnYR/jp8CX1besPdUU74U3OLcSAxC2fSCqBVKVBkMONAYhY2xcjdA3fGZ2BnfAYAoKWvMzoEuUGjUsBgtsBVp4ZGpcCh89k4lJiNV34/inu6BqFLiAcUiutLdHIKjUjJK4aoZM2jjHw9TiXnoXOIO5y0Df7fbr2xx+SoLpMuxkxEVDsa/C/p6NGjkZaWhhkzZiA5ORmdO3fG2rVrrYPwExMToSjTqpCVlYVHH30UycnJ8PDwQFRUFHbs2IG2bdtay7z00ksoKCjAY489huzsbPTp0wdr165t8DVggNJB/FfOQjYg0sfmeY9wT8SnF8DLSYNuYR5YdzzFul6MjR2fAWYDYqRwRIZ0r3og4f2x2OUJzE7vA6fFx/DDwyp0ibQdj4Lko/JCjABw21xr8vLZv7FYdSQJ3cI8sHzvBRjMFvi6aPHsoJZ44KZQmMwWvPr7MetpdGoFvn6oG1r5ucDPtfQ9WLmq6uG29nfF5EGt8NE/5ZMiQG448XPRITm3GAcSswF4oPkrqxHopoODRonUXD383HSYd18ndAx2xycbY/HJv3KXs21n83ExuwjnM20nTTCYLJi89BC+n9gDEZfHJ1HdMJot+PtIEo5dzEFmoQF/Hb4Eo1ngmZ8PQiEBTloVdGol0vIqboVUKSQ8d0sr5BYbselUKs6mFyI2NR+xV1lL6afdifhpdyKC3B3w0tBItAt0xbmMQsSl5kNvsiAxsxDtAl3RwtcZSklCYmYhzmUWYltsGvKLTdCplWjh64zUXD0Onc+GwWyBRqnAyM+3Q6tUQKNSwCIEDp3PRqFBHvvmpFHigZtCEe7tBBedGh2C3NDMy7FO7mlTZ4/juhgzEVHtaPAEBgCefvrpSruMbd682eb5Rx99hI8++uiq55MkCW+++SbefPPN2gqx1ihKEpjLLTBh2nz8b2hP3HS5paHEM4NaIsLHCfd1C8EnG+WKdvqVXcjMRuDIUgDAWsUARFYjjgKjBV8W9AdgRoHQ4rUla7Eq+CdIt7wBtBwMmE3y7GXCgr1SB3S/3LpzMDELH6yXk4hTyaUTB6Tm6fHaH8ew7ngyCvQmnEzKhZuDGr8/1QtatRJB7tVfF+VKzw5qAV9XLYoMZgS6O8BFp8KGEykY0s4fPcI9oVRI+H7nWaw9nowdcekQkHCpzFTUean5GPf1bozpEYKvtyVYt++Kz7R5HUkCXhrSGj/tOYfzmUUYPG8LAtwcoFJKkADkFXrj2MUctA+qYDxSLcopNEKnUUCruv4pmmtLWp4eP+9JRKS/C7pc0WpYEZNZTgTCvZ2s3bmEEFh/IgU5RUZrQrLqSBJOJtlOX+6qU8HPVYfY1HzkFZuQV2yCUiEh1MsRHYLcIATgqFHCUaPCsA7+6H65pWz6sDbIyNdj+5kMnM8shMksoFUrkFdsRIHejJZ+zvh5dyIifJyx6VQqLmYXYfLSQxXGv2L/1a+v7O8AABjMFhw+n11hWbVSQoHBjIVb463bNEoF+rXywemUPLg7qgHILa2uDmq0D3TFa8Pbwu3ydgDQm8xIyi5GoLsDNKpKuosS2QG27BDR9WgUCcyNpHQaZbkFZqTHOTwUPbpcuSB3BzzWT1640ctZLluuC9mZTfLsWk4+OK5vWa04NpxIQWaRGa5aCcV6PY5bQrE+SYvQ76dgXbu5CM7ciTuT90CpccJycTu6Q654vlFmTA4AvDQ0EhP7hGPB5nh89M9pbItNl69TAl6/vW2ttlxIkoSxPWxXs+/dwtvm+YPRYXgwOgzj3/4KrzwyFim5xVh7PBmtfJ3x4YbTyCs2WZOXx/tHoI2/KzacTEH7QDcM7xCAg+ez0DHYHeHeTrirSxCe/+UQtsdl4GJ22dYZB9z/9S6M7dkMaXl6BLjpcGtb/3LdAM+mF2DNsWTc3NoXkf62XeUAIC41Hyv2X8Cl7CJoVAqcSs7DzJXHcCmnGPnFJuyMz4C7oxrdQj3h56qFJAGP9IlAmPe1FyS1WAQKDCYcSMxGgJsOSTnFePbng+gc4o7o5l7491Qqlu5NhNks8PKw1vBz1SEuNR/tg9zQ+YrriEvNx4+7z+F8ZiF2x2ciT186jbazVoUFW86gW6gHsgqN2B2fAT9XHfzddDiVnIt1x1MQl5qPADcdzBaBvGITiozmCmN2c1BjSDs/OGvVGNreH19tPYOvH+qGsxmFMJgsSMvTo0OwG9wc1BUeX5aXsxYjOgVWun/TqVR8MrYLio1mfPZvHFYevojsAiMC3R3Qyt8FaqUET0cN4tMLcCopF5mFBnQOcUeAmwMGRPog2MMBGfkGHL6QjVBPJ0SFeSDEwxGjF+7Aw73DYbYI6/W2DXRFhI8TvJ20WLH/Av6LS0dusRGxKXLL3z8n5UlMEsvk0Rezi3AyKRdrjiXD11ULdwc1zqYXoOMb66E3yS09kf4uaB/kCrVSAR9nLe7v2QxeZcZsFehNSMophrezxtoF73xmIYqNZmQWGNDa3xUGswUWi0BusRGuumvfV3tnsQhYhCg3m+PVJoDIKjAgo8AAo9mClr7OFc8EWY9MZgv2nctCbpERWrUSKTnFSMktxn+x6VAqJCgVEkxmC85mFEKpkGe3NJgsyCky4nRKPrKLDCjQm+DtrEWEj7P1i4LWAS71+mUJW3aI6HowgalnkoMHUFg6BkaLMkmJxVLhIHwvJ7nyYdOFrCADWHt5ccX298By4Np/eHbHZ2Dz6TR0CHLD+hPymjgP9YpA4dZPsch8G540ToEFCuCgBUBP/KGYhm/HdETWb4kwmi2YsfIYDp/PhqNGib+e6QOzRaCVn1wxnzy4JW5u7YsNJ5Lh7+aAHuGeaOHbcN2u1JIFkf4uiPR3Qb9Wcve8UG8nLNxyBhqVErd3DMCoqGBIkoQ7u5T+ES3bncffTYcfH7kJ+85m4pXfj6JtgCvG9GiG/y3aidxiExZuKf0m/cvNZ/B4/+bwctIgJjkPge4OWLo3ESm5ery39hRUCglRoR7oGeGFH3edg1kI5BQZceWQiSU7z9k8zy40Wiu4ALDy4CWM7BKIzAIDnDQqjOgcCA9HDc5lFKJHuCe2nE7DV1vPIDY1v9y5j1/KxZ+HL5W7V1e2PtzWwR9uDmqcTsmH0WzBkQs5NvtdtCroNEpk5OuRrzfh3TUVr9lUVlIFi7K66lTo18oHOrUS7g5qjO8VhhDP0vv/1dYzkCQJ4ZcTtoqSwOulUyvxwpBIvDCk8vbLknEtFVVwb21nO1uil7P2qpWy+7qH4L7u8hTtFovAqqNJOJtegOaXx5ApJMDbRYvU3GK8+dcJOZlNM9mcQ6mQYDBbcPRiDo5eLH1vPvrnNNwc1DCYLDCYLTCa5bgVEuDvqkOBwVzpLH8d31iP5j5O6BbqCa1aAaVCQk6REcHuDnB1UMNZq8LIzkFw0FStgltkMCM9Xw+LpeIxQbWhyGjGsr2JKNCbIUlyonHkYg6Sc4rRNtAV7QPdUGQ0IzYlD3vPZqHAYEKx0YxiowUR3k7wcNJArZQQl5qP7EIjWvg6I9DdAfvPZeK+BTvh6qDG6ZQ8JGYWWl/TQa2Ek1YJhSRBpZDQzMsRw9oHQAiBM2kFcHVQIcTDEX1aesPNQY0CvRn5ehMkCUjP0yMtT4+1x5Lh7azB6ZR8pOQWw9dViwA3HVx0ang5aeCkVcHLSYNikwXpeXroTRaYLXJXxKV7ExGbkl/hlwAP/N/u67qfOrUCHYPdoVZKuJBVBIPJAn83HRLSCvDod/vg7qCGh5MG7o5q+Lno0CnEHYmZBTifWQSj2QInrQo+zlq4OqiRWaBHer4BCekFMJgs0KgU8HbWwttZA28XLbydtCg2mqE3mRtVCzMR2Q8mMPVMcg0ACvNRpPYADIBOupyUFKQDX/YCIm+TpyUuo+Rb1Yz8Ml3Idn8JZMbLa7z0mQoc+N3mmNxiI37bfwFOWhV2nslAMy9HLNwSX+4P3y1t/dFS1xoX1u3FeovtGJptlg74V0QBSMSCzWess4g90b+5dc2asjoEu1U8zXMjMTDSFwMjqz8dcrcwT6x/rr/1eZcwb7T0dUFWoQEtfJyx52wmtsWmW6e7rojJIrA7IRO7E2y7qw1q7Yse4Z7ILDRgyfazUCsVGNuzGZp5OqJHuCeyC404fikH5zIKsfV0GuLTC/DDrkTr8b/sv1Cla1BIwO0dA5GQXoAzaflo4euMkZ2D8Mu+80jOLYaTRgWTxYKUXD1WH7Vd8FWSgEGt/RAV6oFIf2cMaOULhUJCVoEBY77aiRBPJ+xOyIDJLDCknR9Op+RDkoAOQW5oH+SG/q18cC6jEA4aJbQqBX7Zdx6+rjo8NaC5XcwSVlcxKhTSVVuJBrb2xdn0QmQXGpBVaMBHG07jvXs7oWOQGy5kFVkTmNxiI45ekH/OKrRNUJw0ShQYzNaulApJroQDQIHB9v+CM2kFOJNWUGk8X245A18XLeJS82E0C5gsFoR7O8PPVXt57SqBpJximC0CBxOz5Yo7gLYz1kKjUiDAzQHZhQa08nOBs04FtUKCSqmAWilBpZCTpvzLLQNhXo5o5uUIo1kgJacYCRkFyCs2IqvQCCEEEtILcSopF9vjMiqM9VRyHn47cLHSa4lPLwDSba/1VHKetUvgnrO2v6euOhVMFoFCg9nm/9BLOcXluqBeyxM/XKNfIuTfuUrmgwAgT7XfzMsJecVGBLk74MiFHPi76mAWAhaLgEIhIdDdARaLwKnkPLg5qKBRKdEhyBVezlo4aZRIzCxEcq4eOYUGnM8qQmaBAXuu+P+p5IuHDSdSKgrjur275hRm3tGuTs5NRE0bE5h6VjIhQZFZrhRZW2COrgDyU+RFFW+/PMbncsXJ83ILTEbZFpiSqZP7vwi4+Nm8Rnq+HiM/235Ft6fygtwd0CHIDYqgSZgdsBfrF8ndv3q7Z6F9m7ZYuDMJ3+08Cy2ANcfkSu3YHiF45uYWNbr2psJBrcQbI0r/6FosAot3nMXOM+lQKxXI15uw92wm+rTwwdt3tse22DTsPJOBfL0JMSl5iPB2woTe4Yj0t53UIC4lD5/dH1XuW+4e4fLYDrNFYMOJFOxOyIBSkpCer8fB89nIKTIiv9gEk0VApZAwaWALjO3RDG4OaujUCmyLTceCLWfwydgu5a5lYp9wm+fHL+Xgj4MXka83wc9VB7VSgeEdAirstubhpEGIpyO+Gd8NRrMFCkmymYmurLItK3U9dqip0KqUNq1OK/ZfsHbva3a5gj+8Y+laVxeyClFoMENzeQIBJ40Kbo5qHLuYg0vZRWjm5YhAdwe46tQQQuBCVhG8nbV4/Pt9+HhMF+w/l4W95zJhNMldyrILjbiYXQQvJw12xWfgXEYhzmUU2sR4MikXJ5MqvwYBoNBgRqHBjOzLyVVFrXE11aWZO4LcHSCE3JrWOcQN3s5a7E7IRHq+Ho4aJbydtejb0gceTmqoFAq4Oqiw/2wWzEIgt8iESH9n+LrocCAxC8k5xfj7SBIe6x+B+LQChHg64Ja2/nDWqmA0W3AuoxAmi9wiYjQL7E3IxMZTKXDSqNDSzwWFBhOOXMjBocvjoJQKCU4aJQQAD0cNsgsNCPN2wqXsIrTyc0GolyPS8vRIyilGgd6ElFw99CYzShquHDVKqJUKmMwWtAtyQ7+W3hjSzh9h3k5Ql+nK9siSvfhmfDUmcbmCEAKnU/JxIikHCkmCq4MaCklCod6ELzbHYUyPZsguNCK70IDsQiNOp+QhNjUfXs4atA+UZ/rLLzYhLV+P7EIjvJw1cNGp0drfBTq1EnqjGWl5eqQXGJCRr0d6vh6puXpOU09ENcYEpp6VfJlbfDmB0YnLSYm6zCD3We7AkDlA9FMAAO8rx8AYi4GLl7/FC+1d7jV+P3CxXPLi7qjGTeFeuLm1L1769QgAeQyIPH2sBJ9WPfF4P3n64BfuHw5vZy2+3pWEbbHp6KjT4URSLhQS8OKQ1rX3jbRr5d8+N+pzX0GhkDCxT7hNMlC2T/2obiEY1S3kmueRJOmqXXSUCglD2/tjaPvyi7yazBbEXh5rUjLeoUS/Vj74bufZKl1Lu0A3tAusfoKhbuBxAQTrQrhXan+5JawsSZKsSaVGpYCHkwaD2/phcFu/ik6BuNQ8/HU4Ce6OavQM94Lj5Ur5kQvZKLrcwiNB/lIEEuDnqkPfFt544P92YfZdHVFsNCM+rQAuOtXl7klmmC4nAUazBSazBSaLgKNGidQ8Pc5lFCIxUx77FO7tBF8XLQLdHeDuKFesQzwdsWRHAn545KYK4x3WIaDC7VfbX3I/9p7NxO0dy///oVYqynWL7Rzijkf7RZQrW3I9WpXC5v/LqiQaFotAer4ezjoVHDX18ydakiRrl9sr/XrgAsb1DK3115z47R48VsG9IyKqCiYw9Uyex6qUFpe7hZmvGKC/bro8bfHeb+A56D0Acp/vzAIDPNP2y+Wd/QDP8n8A/j4qfyX65sh2iI7wslmjxWi2YMnOszBbBO67olI9bVhrPH9rpHV2oxGdAvHHoUs4UiyPIYkK9bC2BtUK16tXMhrtuaugvrtGqZQKtAlwvXZBohpo4euC524pX7kNv8aEEo4albVMbX8+l+1NvHahBqJSKlDToR0KhQRf14af8r+uSZLELz6IqMb4v0c9u7KHTaDicp/j4uzyhde8BKSegPNPd6C1t5w4fLEpDojfLO8P7VXapFNyyNEkHDqfDUkChrb3R0s/F5tuPWqlAn8/2xdrJveFTm37F1aSJJupWZ8d1BKOl1sENCoFXh7auvoXTERERERUi5jA1LcrEo5WysuDI4uyy5e1mKyHTAs6DAD4btc55Mdskve3vNWm+KXsIjy79CAAYFRUMHxdKv8WryotBBE+zlgzuS/CNTn4YSJXpCciaozuuMpkEI2VPcZMRI0HE5h6VrYFJkRKhbO4vFJ4RS0wZfS/8DXCvRxhMFmw5ZICgAS0uMWmzJIdZ2E0C3QP88CcuzvWSryhXk5ors21DiQnqi91WcFh5YkqY4+fu7pcT8UeYyaipo8JTD0r2+4RKZ0HLJenPa2oBQYA+r4AaF0hFSTj1jD57Vpv7gYEdgacfazFhACW7ZOnOX68X/NKZ4OqkXocEE9Uoi4rOHV1bntMjOwx5rpkj5+7umSPMRNR08dB/PWsbNetSOk8YDbK2Ufx5QXpWtwCDP8AMOmBE38CPR4FErYAF/ZikFcWFkKNHZa2QKDtVKR6oUR2oREqhYT+kT6oVXU0IJ4VJ/vH99CWPVb27PHb+7o+NxERNW5sgalnZRtG/KVMIOc88HkPIO/yYgo3PQF4hAE+kfIaLw7u1pnG2uAsACANHsjzsu0ilm9RA5BnBbKXmV3ssbJHtvge1h97rLCzNYOIiOqCfdR0m5Cy0yhrcbn7WPppICNO/lnnUf4gD3l9EZe8OPhIcktNvNZ2RrACi9yYduU6BWQ/+G01XQ0r7ERERDImMPWs7ORfGslUvoCDe/ltJWu9JO5COC4BABIstgvOFV5ugWnJBKbO2eOgVlZ+iYiIqKlgAlPPyiYwalSQwOjcy2/zvLzCe0YsmivkrmbxmbYLX5Z0IWvOBAZA3bY4MBkgIiIiajhMYOpZ2S5kmpIuZGXp3Mpvu9yFDADCJTmB+eTfOJxMygUAnEzKRY5ZXuiyXWAFx9+AmGQQERERNU1MYOqZoswdL9cCo3MHlBVMDOfkDXi1AAC0k85aN7+z+iQA4MP1MQAkDO8QwDEwRERERNSkMYGpZ7YtMFckMN0fqeQgCej5BACgl+I4noyWx78cTMxGsdGM7XEZAIBJA1vUfsBERERERI0IE5h6Vukg/g6jgAHTKj+wy4NA80GQuj6AF+6IgrNWhXy9CV9sikOR0QyVQkJrf5e6C5yIiIiIqBHgQpb1rOxCltYxMM16Afd8c/UD1Trgwd8AAEoAXZq5Y1tsOj75V55+2d1RDUXZRWaIiIiIiJogtsDUs7IphnUMjNqh2ue5KcLL5rm7o/o6oiIiIiIisg9sgalnZRtJNNeRwPyvdzgC3XUAgH1ns3Ahq7A2wiMiIiIiatSYwNQz2y5kJQmMY7XP46BR4q4uwQCAu7oE45Ele2slvopwFXciIiIiaizYhayelW2BUZcM4lfrGiaYKuKaKkRERETUWDCBqWdClP58PS0wREREREQ3IiYw9cxoKc1grmcQPxERERHRjYgJTD0zmS3Wn63TKKuYwBARERERVQUTmHpmMpdtgTHLP0QMaJhgiIiIiIjsDGchq2dGS2kLjGLqMSDrHNCsZwNGRERERERkP5jA1LOyLTBwC5YfRERERERUJexCVs+MZcbAEBERERFR9TCBqWemMrOQERERERFR9TCBqWcmtsAQEREREdUYE5h6ZjSzBYaIiIiIqKYaRQLz+eefIywsDDqdDj179sSePXuqdNzSpUshSRLuvPNOm+0PP/wwJEmyeQwdOrQOIq8+k4UtMERERERENdXgCcyyZcswdepUzJw5EwcOHECnTp0wZMgQpKamXvW4s2fP4oUXXkDfvn0r3D906FAkJSVZHz///HNdhF9tJrbAEBERERHVWIMnMPPmzcOjjz6KCRMmoG3btliwYAEcHR2xaNGiSo8xm80YN24cZs2ahYiIiArLaLVa+Pv7Wx8eHh51dQnVwlnIiIiIiIhqrkETGIPBgP3792Pw4MHWbQqFAoMHD8bOnTsrPe7NN9+Er68vJk6cWGmZzZs3w9fXF5GRkXjyySeRkZFRaVm9Xo/c3FybR13hGBgiIiIioppr0AQmPT0dZrMZfn5+Ntv9/PyQnJxc4TH//fcf/u///g9ff/11pecdOnQovvvuO2zcuBHvvfcetmzZgmHDhsFsNldYfs6cOXBzc7M+QkJCan5R18AxMERERERENadq6ACqIy8vDw8++CC+/vpreHt7V1puzJgx1p87dOiAjh07onnz5ti8eTMGDRpUrvz06dMxdepU6/Pc3Nw6S2LYAkNEREREVHMNmsB4e3tDqVQiJSXFZntKSgr8/f3LlT9z5gzOnj2LO+64w7rNcrlFQ6VSISYmBs2bNy93XEREBLy9vREXF1dhAqPVaqHVaq/3coiIiIiIqI41aBcyjUaDqKgobNy40brNYrFg48aNiI6OLle+devWOHr0KA4dOmR9jBgxAgMHDsShQ4cqbTW5cOECMjIyEBAQUGfXQkREREREda/Bu5BNnToV48ePR7du3dCjRw/Mnz8fBQUFmDBhAgDgoYceQlBQEObMmQOdTof27dvbHO/u7g4A1u35+fmYNWsW7rnnHvj7++PMmTN46aWX0KJFCwwZMqRer42IiIiIiGpXgycwo0ePRlpaGmbMmIHk5GR07twZa9eutQ7sT0xMhEJR9YYipVKJI0eOYMmSJcjOzkZgYCBuvfVWvPXWW+wmRkRERERk5yQhBEeVXyE3Nxdubm7IycmBq6trrZ47bNrf1p/Pvju81s77yJK9+GZ891o7HxERkb2py7/fRNR4NPhClkRERERERFXFBKae+bjI3dia+zg1cCRERERERPanwcfA3GiWPnYTvtmWgKcGlJ/umYiIiIiIro4JTD1r7uOMOXd3aOgwiIiIiIjsEruQERERERGR3WAC00Tc0SmwoUMgIiIiIqpzTGCaiJGdgxo6BCIiIiKiOscEhoiIiIiI7AYTGCIiIiIishtMYIiIiIiIyG4wgSEiIiIiIrvBBIaIiIiIiOwGExgiIiIiIrIbTGCIiIiIiMhuMIEhIiIiIiK7oWroABojIQQAIDc3t4EjISIioqoq+btd8neciJomJjAVyMvLAwCEhIQ0cCRERERUXXl5eXBzc2voMIiojkiCX1OUY7FYcOnSJbi4uECSpFo7b25uLkJCQnD+/Hm4urrW2nnJFu9z/eB9rj+81/WD97l+1OV9FkIgLy8PgYGBUCjYS56oqWILTAUUCgWCg4Pr7Pyurq7841gPeJ/rB+9z/eG9rh+8z/Wjru4zW16Imj5+PUFERERERHaDCQwREREREdkNJjD1SKvVYubMmdBqtQ0dSpPG+1w/eJ/rD+91/eB9rh+8z0R0vTiIn4iIiIiI7AZbYIiIiIiIyG4wgSEiIiIiIrvBBIaIiIiIiOwGExgiIiIiIrIbTGDqyeeff46wsDDodDr07NkTe/bsaeiQ7MrWrVtxxx13IDAwEJIk4Y8//rDZL4TAjBkzEBAQAAcHBwwePBixsbE2ZTIzMzFu3Di4urrC3d0dEydORH5+fj1eReM3Z84cdO/eHS4uLvD19cWdd96JmJgYmzLFxcWYNGkSvLy84OzsjHvuuQcpKSk2ZRITEzF8+HA4OjrC19cXL774IkwmU31eSqP35ZdfomPHjtbF/KKjo7FmzRrrft7nuvHuu+9CkiRMmTLFuo33+vq98cYbkCTJ5tG6dWvrft5jIqpNTGDqwbJlyzB16lTMnDkTBw4cQKdOnTBkyBCkpqY2dGh2o6CgAJ06dcLnn39e4f73338fn3zyCRYsWIDdu3fDyckJQ4YMQXFxsbXMuHHjcPz4cWzYsAGrVq3C1q1b8dhjj9XXJdiFLVu2YNKkSdi1axc2bNgAo9GIW2+9FQUFBdYyzz33HP766y/88ssv2LJlCy5duoS7777but9sNmP48OEwGAzYsWMHlixZgm+//RYzZsxoiEtqtIKDg/Huu+9i//792LdvH26++WaMHDkSx48fB8D7XBf27t2LhQsXomPHjjbbea9rR7t27ZCUlGR9/Pfff9Z9vMdEVKsE1bkePXqISZMmWZ+bzWYRGBgo5syZ04BR2S8A4vfff7c+t1gswt/fX8ydO9e6LTs7W2i1WvHzzz8LIYQ4ceKEACD27t1rLbNmzRohSZK4ePFivcVub1JTUwUAsWXLFiGEfF/VarX45ZdfrGVOnjwpAIidO3cKIYRYvXq1UCgUIjk52Vrmyy+/FK6urkKv19fvBdgZDw8P8c033/A+14G8vDzRsmVLsWHDBtG/f38xefJkIQQ/07Vl5syZolOnThXu4z0motrGFpg6ZjAYsH//fgwePNi6TaFQYPDgwdi5c2cDRtZ0JCQkIDk52eYeu7m5oWfPntZ7vHPnTri7u6Nbt27WMoMHD4ZCocDu3bvrPWZ7kZOTAwDw9PQEAOzfvx9Go9HmXrdu3RrNmjWzudcdOnSAn5+ftcyQIUOQm5trbV0gW2azGUuXLkVBQQGio6N5n+vApEmTMHz4cJt7CvAzXZtiY2MRGBiIiIgIjBs3DomJiQB4j4mo9qkaOoCmLj09HWaz2eY/ZQDw8/PDqVOnGiiqpiU5ORkAKrzHJfuSk5Ph6+trs1+lUsHT09NahmxZLBZMmTIFvXv3Rvv27QHI91Gj0cDd3d2m7JX3uqL3omQflTp69Ciio6NRXFwMZ2dn/P7772jbti0OHTrE+1yLli5digMHDmDv3r3l9vEzXTt69uyJb7/9FpGRkUhKSsKsWbPQt29fHDt2jPeYiGodExgiqtCkSZNw7Ngxm37sVLsiIyNx6NAh5OTkYMWKFRg/fjy2bNnS0GE1KefPn8fkyZOxYcMG6HS6hg6nyRo2bJj1544dO6Jnz54IDQ3F8uXL4eDg0ICREVFTxC5kdczb2xtKpbLcbCspKSnw9/dvoKialpL7eLV77O/vX27SBJPJhMzMTL4PFXj66aexatUqbNq0CcHBwdbt/v7+MBgMyM7Otil/5b2u6L0o2UelNBoNWrRogaioKMyZMwedOnXCxx9/zPtci/bv34/U1FR07doVKpUKKpUKW7ZswSeffAKVSgU/Pz/e6zrg7u6OVq1aIS4ujp9nIqp1TGDqmEajQVRUFDZu3GjdZrFYsHHjRkRHRzdgZE1HeHg4/P39be5xbm4udu/ebb3H0dHRyM7Oxv79+61l/v33X1gsFvTs2bPeY26shBB4+umn8fvvv+Pff/9FeHi4zf6oqCio1Wqbex0TE4PExESbe3306FGbhHHDhg1wdXVF27Zt6+dC7JTFYoFer+d9rkWDBg3C0aNHcejQIeujW7duGDdunPVn3uval5+fjzNnziAgIICfZyKqfQ09i8CNYOnSpUKr1Ypvv/1WnDhxQjz22GPC3d3dZrYVurq8vDxx8OBBcfDgQQFAzJs3Txw8eFCcO3dOCCHEu+++K9zd3cXKlSvFkSNHxMiRI0V4eLgoKiqynmPo0KGiS5cuYvfu3eK///4TLVu2FGPHjm2oS2qUnnzySeHm5iY2b94skpKSrI/CwkJrmSeeeEI0a9ZM/Pvvv2Lfvn0iOjpaREdHW/ebTCbRvn17ceutt4pDhw6JtWvXCh8fHzF9+vSGuKRGa9q0aWLLli0iISFBHDlyREybNk1IkiTWr18vhOB9rktlZyETgve6Njz//PNi8+bNIiEhQWzfvl0MHjxYeHt7i9TUVCEE7zER1S4mMPXk008/Fc2aNRMajUb06NFD7Nq1q6FDsiubNm0SAMo9xo8fL4SQp1J+/fXXhZ+fn9BqtWLQoEEiJibG5hwZGRli7NixwtnZWbi6uooJEyaIvLy8BriaxquiewxALF682FqmqKhIPPXUU8LDw0M4OjqKu+66SyQlJdmc5+zZs2LYsGHCwcFBeHt7i+eff14YjcZ6vprG7X//+58IDQ0VGo1G+Pj4iEGDBlmTFyF4n+vSlQkM7/X1Gz16tAgICBAajUYEBQWJ0aNHi7i4OOt+3mMiqk2SEEI0TNsPERERERFR9XAMDBERERER2Q0mMEREREREZDeYwBARERERkd1gAkNERERERHaDCQwREREREdkNJjBERERERGQ3mMAQEREREZHdYAJDRERERER2gwkMEVENvPHGG+jcuXNDh0FERHTDYQJDRHXu4Ycfxp133lnl8pIk4Y8//qizeKqronheeOEFbNy4sWECIiIiuoGpGjoAIqK6YjQaoVar6+Tczs7OcHZ2rpNzExERUeXYAkNE9WrAgAF49tln8dJLL8HT0xP+/v544403rPvDwsIAAHfddRckSbI+B4CVK1eia9eu0Ol0iIiIwKxZs2Aymaz7JUnCl19+iREjRsDJyQmzZ8+G2WzGxIkTER4eDgcHB0RGRuLjjz8uF9eiRYvQrl07aLVaBAQE4Omnn75qPFd2IbNYLHjzzTcRHBwMrVaLzp07Y+3atdb9Z8+ehSRJ+O233zBw4EA4OjqiU6dO2Llz5/XdUCIiohsMExgiqndLliyBk5MTdu/ejffffx9vvvkmNmzYAADYu3cvAGDx4sVISkqyPt+2bRseeughTJ48GSdOnMDChQvx7bffYvbs2TbnfuONN3DXXXfh6NGj+N///geLxYLg4GD88ssvOHHiBGbMmIFXXnkFy5cvtx7z5ZdfYtKkSXjsscdw9OhR/Pnnn2jRosVV47nSxx9/jA8//BAffPABjhw5giFDhmDEiBGIjY21Kffqq6/ihRdewKFDh9CqVSuMHTvWJgkjIiKiaxBERHVs/PjxYuTIkUIIIfr37y/69Oljs7979+7i5Zdftj4HIH7//XebMoMGDRLvvPOOzbbvv/9eBAQE2Bw3ZcqUa8YzadIkcc8991ifBwYGildffbXS8hXFM3PmTNGpUyebc8yePdumTPfu3cVTTz0lhBAiISFBABDffPONdf/x48cFAHHy5MlrxkxEREQyjoEhonrXsWNHm+cBAQFITU296jGHDx/G9u3bbVpczGYziouLUVhYCEdHRwBAt27dyh37+eefY9GiRUhMTERRUREMBoO1+1dqaiouXbqEQYMG1fh6cnNzcenSJfTu3dtme+/evXH48GGbbWWvPSAgwBpD69ata/z6RERENxImMERU764cWC9JEiwWy1WPyc/Px6xZs3D33XeX26fT6aw/Ozk52exbunQpXnjhBXz44YeIjo6Gi4sL5s6di927dwMAHBwcanoZNVL22iVJAoBrXjsRERGVYgJDRI2OWq2G2Wy22da1a1fExMRYx6ZU1fbt29GrVy889dRT1m1nzpyx/uzi4oKwsDBs3LgRAwcOrHI8Zbm6uiIwMBDbt29H//79bV67R48e1YqXiIiIro4JDBE1OiUJRe/evaHVauHh4YEZM2bg9ttvR7NmzXDvvfdCoVDg8OHDOHbsGN5+++1Kz9WyZUt89913WLduHcLDw/H9999j7969CA8Pt5Z544038MQTT8DX1xfDhg1DXl4etm/fjmeeeabSeK704osvYubMmWjevDk6d+6MxYsX49ChQ/jxxx9r/wYRERHdwDgLGRE1Oh9++CE2bNiAkJAQdOnSBQAwZMgQrFq1CuvXr0f37t1x00034aOPPkJoaOhVz/X444/j7rvvxujRo9GzZ09kZGTYtMYAwPjx4zF//nx88cUXaNeuHW6//Xab2cMqiudKzz77LKZOnYrnn38eHTp0wNq1a/Hnn3+iZcuW13k3iIiIqCxJCCEaOggiIiIiIqKqYAsMERERERHZDSYwRERERERkN5jAEBERERGR3WACQ0REREREdoMJDBERERER2Q0mMEREREREZDeYwBARERERkd1gAkNERERERHaDCQwREREREdkNJjBERERERGQ3mMAQEREREZHdYAJDRERERER2gwkMERERERHZDSYwRERERERkN5jAEBERERGR3WAC8//t3XdYFFf7N/Dv0hfZpZeFUEQB0UgTC6CiEYJGiZrHSNAIRNRY0Sh2I9iTqBGNJRofJVGMGv2ZomgsESUYjQ1sCEJAEoVgVwRE4H7/8GUehrYLogRzf65rr4udOefMPbMzO3PvzDkwxhhjjDHGmg1OYBhjjDHGGGPNBicwjDHGGGOMsWaDExjGGGOMMcZYs8EJDGOMMcYYY6zZ4ASGMcYYY4wx1mxwAsMYY4wxxhhrNjiBYYwxxhhjjDUbnMAwxhhjjDHGmg2Npg6guSgrK8PTp0+bOgzGGGOMMcZeKZqamlBXV1e5PCcwShAR8vLycP/+/aYOhTHGGGOMsVeSgYEBLCwsIJFIlJblBEaJiuTFzMwMurq6Km1UxhhjjDHGmHJEhMLCQuTn5wMAFAqF0jqcwNShrKxMSF6MjY2bOhzGGGOMMcZeOVKpFACQn58PMzMzpY+TcSf+OlT0edHV1W3iSBhjjDHGGHt1VVxvq9LnnBMYFfBjY4wxxhhjjL049bne5gTmJYr/I76pQ2CMMcYYY6xZ4wTmJdqftb+pQ2hSJSUlaN26NU6cONGo7fbo0QOTJk1q1DYbW3R0NNzc3Jo6jAapKfbo6GiYm5tDIpHg+++/b5K4VFU5xuzsbEgkEiQnJzdpTKx5HLcvwj9pvV/l46E5fDe9KLGxsTAwMGjqMBpF1XVpzufSf7IXvV1v374NMzMz/PXXX43WJicwr6AlS5agY8eOkMlkMDMzw4ABA5CWltbUYeHLL79Ey5Yt4e3t3dShsOeQmpqKefPmYf369cjNzUWfPn2aOqQ6NVWM3333Hdq0aQMdHR20b98e8fHK78AmJCTAw8MD2traaN26NWJjY0Xzo6OjIZFIRK82bdq8oDVgTSE3NxdDhgyBo6Mj1NTUXmiyY21tjdzcXLz++usq1/mnXUDWFk9z+G56UYKCgpCent7UYbwQkZGROHLkSFOHwarYsGEDevToAblcDolEUu1fj5iYmCAkJARRUVGNtkxOYF5Bx44dw7hx43Dy5EkcOnQIT58+xZtvvonHjx83WUxEhNWrVyM8PLzJYmju/in/SDUzMxMA0L9/f1hYWEBbW7uJI6pbU8R44sQJBAcHIzw8HOfPn8eAAQMwYMAAXLp0qdY6WVlZ6Nu3L3r27Ink5GRMmjQJI0aMwM8//ywq165dO+Tm5gqvX3/99YWsQ0lJyQtpl9XtyZMnMDU1xZw5c+Dq6vpCl6Wurg4LCwtoaLz8AUlf9P7VHL6bXhSpVAozM7OmDgNlZWUoLy9v1Db19PT+EaPC8vejWGFhIXr37o1Zs2bVWuaDDz5AXFwc7t692yjL5ATmFXTgwAGEhYWhXbt2cHV1RWxsLHJycnD27FmV6peXl+O1117DunXrRNPPnz8PNTU1XL9+HZGRkejXr58wLyYmBhKJBAcOHBCmtW7dGhs3bgQAnD17FpmZmejbt2+D1ikpKQk9evSArq4uDA0NERAQgHv37gnzS0tLMX78eOjr68PExAQff/wxiEiltp88eYLIyEhYWVmhRYsW6Ny5MxISEgAAxcXFaNeuHUaNGiWUz8zMhEwmw6ZNmwD87xb3999/DwcHB+jo6CAgIAB//vlnrcssLy/H/Pnz8dprr0FbWxtubm6ibVfxaMeOHTvg6+sLHR0dxMXFAQA2btwIZ2dn6OjooE2bNli7dq3K23H69OlwdHSErq4u7O3t8fHHH1dLjD755BOYm5tDJpMhPDwcxcXFwrzo6GgEBgYCANTU1BplgIsffvgBHh4e0NHRgb29PebNm4fS0lJhvkQiwbp169CnTx9IpVLY29tj165dwvySkhKMHz8eCoUCOjo6sLW1xZIlS0T163qU5NixY+jUqRO0tbWhUCgwY8YM0fJ79OiBiIgITJs2DUZGRrCwsEB0dHSd67Ry5Ur07t0bU6dOhbOzMxYsWAAPDw+sXr261joVdyiXL18OZ2dnjB8/HoMGDcKKFStE5TQ0NGBhYSG8TExM6oxFVXZ2dliwYAFCQkIgl8uFfV7ZPlPxC/iWLVtgZ2cHfX19vPfee3j06JFQ5vHjxwgJCYGenh4UCgWWL19ebfn37t1DSEgIDA0Noauriz59+uDatWvC/IrjbO/evXBycoKuri4GDRqEwsJCfP3117Czs4OhoSEiIiJQVlam0jqvXbtWOGbNzc0xaNAgYV55eTmWLFmCli1bQiqVwtXVVbTfAcClS5fQp08f6OnpwdzcHMOGDcPt27frtd5V2dnZYeXKlQgJCYG+vr5K69FQVR8hS0hIgEQiwZEjR+Dp6QldXV14e3sLd/BjY2Mxb948pKSkCHcAK+4S3r9/HyNGjICpqSnkcjneeOMNpKSkCMuq2E82btyIli1bQkdHB8Cz81XXrl1hYGAAY2Nj9OvXT/iRpMJff/2F4OBgGBkZoUWLFvD09MSpU6fqjKfqcX/x4kW88cYbkEqlMDY2xqhRo1BQUCDMDwsLw4ABA7Bs2TIoFAoYGxtj3Lhxon29rv2lqjt37iA4OBhWVlbQ1dVF+/bt8e233wrzb926BQsLCyxevFiYduLECWhpaT33HYaaHiFbuHAhzMzMIJPJMGLECMyYMUN050qV9Vf1GP3xxx/Rtm1baGtrIycnp85zbH1VveOmStzKlq/sswKenQfGjx+PSZMmwcTEBAEBAdViU+V6QRUJCQno1KkTWrRoAQMDA/j4+OD69evCfGXnTGXHIlD3eb4hJk2ahBkzZqBLly61lmnXrh0sLS2xZ8+e51qWgFitioqK6MqVK1RUVCRMKy8vp8cljxv0GnNwTIPrlpeXN3g9rl27RgDo4sWLKteJjIykrl27iqZNmTJFmPbjjz+Svr4+lZaWEhHRgAEDyMTEhKZPn05ERH/99RcBoGvXrhER0eeff05t2rRpUPznz58nbW1tGjNmDCUnJ9OlS5foiy++oFu3bhERka+vL+np6dHEiRPp6tWrtHXrVtLV1aUNGzao1P6IESPI29ubjh8/ThkZGbR06VLS1tam9PR0YflaWlr0/fffU2lpKXXp0oUGDhwo1N+8eTNpamqSp6cnnThxgs6cOUOdOnUib29voUxUVBS5uroK7z///HOSy+X07bff0tWrV2natGmkqakpLDMrK4sAkJ2dHe3evZv++OMPunnzJm3dupUUCoUwbffu3WRkZESxsbEqreuCBQsoKSmJsrKy6McffyRzc3P69NNPhfk7duwgbW1t2rhxI129epVmz55NMplMiP3Ro0e0efNmAkC5ubmUm5ur0nJrc/z4cZLL5RQbG0uZmZl08OBBsrOzo+joaKEMADI2NqavvvqK0tLSaM6cOaSurk5XrlwhIqKlS5eStbU1HT9+nLKzsykxMZG2bdsmqr9nzx7Rdj1//jwRPdtPdXV1aezYsZSamkp79uwhExMTioqKEur7+vqSXC6n6OhoSk9Pp6+//pokEgkdPHiw1vWytramFStWiKbNnTuXXFxcaq3TrVs3mjhxomjapk2bSC6XC++joqJIV1eXFAoFtWzZkoYMGULXr1+vtc36sLW1JblcTsuWLaOMjAzKyMggIuX7TFRUFOnp6dE777xDFy9epOPHj5OFhQXNmjVLKDNmzBiysbGhw4cP04ULF6hfv34kk8lE6/v222+Ts7MzHT9+nJKTkykgIIBat25NJSUlRPS/48zf35/OnTtHx44dI2NjY3rzzTdp8ODBdPnyZfrpp59IS0uLtm/frnR9T58+Terq6rRt2zbKzs6mc+fO0cqVK4X5CxcupDZt2tCBAwcoMzOTNm/eTNra2pSQkEBERPfu3SNTU1OaOXMmpaam0rlz58jf35969uxZr/Wui6+vr8plG6Lq8XD06FECQJ07d6aEhAS6fPkydevWTfguKywspClTplC7du2E47+wsJCIiPz8/CgwMJBOnz5N6enpNGXKFDI2NqY7d+4Q0bP9pEWLFtS7d286d+4cpaSkEBHRrl27aPfu3XTt2jU6f/48BQYGUvv27amsrIyInn3n2NvbU7du3SgxMZGuXbtGO3bsoBMnTtQZT+XjvqCggBQKhbCPHjlyhFq2bEmhoaHCtggNDSW5XE6jR4+m1NRU+umnn0TnEWX7S1V//fUXLV26lM6fP0+ZmZm0atUqUldXp1OnTgll9u3bR5qamnT69Gl6+PAh2dvb00cfffScn+qzY0VfX194v3XrVtLR0aFNmzZRWloazZs3j+RyueicpGz9iVQ/Rr29vSkpKYmuXr1Kjx8/VnqOrc+6VD2XqhK3suWr8llVXGdMnTqVrl69SlevXq0xXmXXC8o8ffqU9PX1KTIykjIyMujKlSsUGxsrfM+rcs5UdiwqO88TPdtnWrRoUefr+PHj1eKv+A65d+9ejesXFBQkOu6qqum6uzacwNShpg35uOQxvR77+kt/PS553KB1KCsro759+5KPj0+96p0/f54kEolw0JSVlZGVlRWtW7eOiJ6dvNXU1Oj06dNUXl5ORkZGtGTJEurcuTMRPdv5rayshPYmTpxIb7zxRoPWITg4uM74fX19ydnZWZTkTZ8+nZydnZW2ff36dVJXV6cbN26Ipvfq1YtmzpwpvP/ss8/IxMSExo8fTwqFgm7fvi3Mq7igP3nypDAtNTWVAAhfgFW/dC0tLWnRokWiZXbs2JHGjh1LRP+7sIiJiRGVadWqlejinOjZBaaXl5fSda3J0qVLqUOHDsJ7Ly8vIYYKnTt3FsW+Z88eaqzfPnr16kWLFy8WTduyZQspFArhPQAaPXp0tZjGjBlDREQTJkygN954o9Ykv64EZtasWeTk5CSqu2bNGtLT0xMuoHx9fasl8x07dhSS9ZpoampW+5zWrFlDZmZmtdZxcHCoti327dtHAISLsvj4eNq5cyelpKTQgQMHyMvLi2xsbOjhw4e1tqsqW1tbGjBggNJyVfeZiqSqcgxTp04VvgsePXpEWlpatHPnTmH+nTt3SCqVChfn6enpBICSkpKEMrdv3yapVCrUqzjOKhIrIqIPP/yQdHV16dGjR8K0gIAA+vDDD5Wux+7du0kul9e47YqLi0lXV5dOnDghmh4eHk7BwcFE9Oy4e/PNN0Xz//zzTwJAaWlpKq23Mk2VwBw+fFgoU7EPVpwHq36XERElJiaSXC6n4uJi0fRWrVrR+vXrhXqampqUn59fZ0y3bt0S/eC2fv16kslkwsVXVTXFQyQ+7jds2ECGhoZUUFAgWi81NTXKy8sjomcXwra2tsKPckRE7777LgUFBRFR3fuLqvr27UtTpkwRTRs7diw5OjrSkCFDqH379tW2YUNUvejv3LkzjRs3TlTGx8enWiJQ1/rX5xhNTk4Wyqh6jlV1XWpKYOqKu6HLr/pZ+fr6kru7u9J4ieq+XlDmzp07BED4oaQqZedMVY5FVc7zDx8+pGvXrtX5qjgvVaYsgfnoo4+oR48eta5/fRIYfoTsFTdu3DhcunQJ27dvr1c9Nzc3ODs7Y9u2bQCePWaTn5+Pd999FwBgYGAAV1dXJCQk4OLFi9DS0sKoUaNw/vx5FBQU4NixY/D19RXaKyoqEh4ZqFDx6IWenh7atWsH4NktxoppFR0wk5OT0atXrzrj7dKli+hxJi8vL1y7dk3poyQXL15EWVkZHB0dheXq6enh2LFjoscYpkyZAkdHR6xevRqbNm2q9gyuhoYGOnbsKLxv06YNDAwMkJqaWm2ZDx8+xM2bN+Hj4yOa7uPjU628p6en8Pfjx4+RmZmJ8PBwUawLFy6s9shFbXbs2AEfHx9YWFhAT08Pc+bMQU5OjjA/NTUVnTt3FtXx8vJSqe3KavocK8c8evRoAEBKSgrmz58vmjdy5Ejk5uaisLCw1hi8vLyEbRUWFobk5GQ4OTkhIiICBw8eVDnO1NRUeHl5ifYdHx8fFBQUiEZLcXFxEdVTKBTIz89XeTmNpU+fPnj33Xfh4uKCgIAAxMfH4/79+9i5c2eN5RMTE0XbNi4uDnFxcaJpiYmJQvnK+1sFZfsM8OyxJ5lMJryvvH0yMzNRUlIi2q+MjIzg5OQkvE9NTYWGhoaojLGxMZycnETHhK6uLlq1aiW8Nzc3h52dHfT09ETTVPls/P39YWtrC3t7ewwbNgxxcXHCPpeRkYHCwkL4+/uLttU333wjHGspKSk4evSoaH7FgAqZmZkqrfeLsnjxYlFcOTk5GD16tGhaXSrv7wqFAgDq3KYpKSkoKCiAsbGxaBlZWVmi7yZbW1uYmpqK6l67dg3BwcGwt7eHXC6HnZ0dAAj7WHJyMtzd3WFkZFSvbVBZamoqXF1d0aJFC2Gaj48PysvLRQPctGvXTvTfvyvvx3XtLzUpKyvDggUL0L59exgZGUFPTw8///xztWNn2bJlKC0txXfffYe4uLg6++2oes6sKi0tDZ06dRJNq/pe2fqreoxqaWmJ9h9Vz7HPo664VVm+qp9Vhw4dVIpH2fVCXYyMjBAWFoaAgAAEBgZi5cqVyM3NFeYrO2eqciyqcp6XyWRo3bp1nS+pVKryelWQSqV1Hjf18fJ77jVzUg0pTg051aC6kQmRWNZjWYOXW1/jx4/H3r17cfz4cbz22mv1rj906FBs27YNM2bMwLZt29C7d2/RgdijRw8kJCRAW1sbvr6+MDIygrOzM3799VccO3YMU6ZMEcqamJjg4sWLovY3btyIoqIiAICmpiYAID4+Xnh2teLgaMhBoqqCggKoq6vj7Nmzoi9AAKKTfH5+PtLT06Guro5r166hd+/eLyymyiqfcCue1/7qq6+qfflUjb0mv/32G4YOHYp58+YhICAA+vr62L59u0rP5ddXTZ9j5aFa5XI5gGfrNG/ePLzzzjvV2qia8NbGw8MDWVlZ2L9/Pw4fPozBgwfDz8+vWn+F51Gxf1aQSCR1dk61sLDA33//LZr2999/w8LCot515HJ5rceAgYEBHB0dkZGRUeN8T09P0XY3NzcHANH+Y2VlJfxdeX8DVN9n6rt9Gqqm5TR02TKZDOfOnUNCQgIOHjyIuXPnIjo6GqdPnxaOtX379om2DwDhArOgoACBgYH49NNPq7WtUChq/UxehtGjR2Pw4MHCe0tLS8yfPx+RkZEq1a+8TSuS+7q2aUFBARQKRY39Gir3xai6fwFAYGAgbG1t8dVXX8HS0hLl5eV4/fXXhU7SL/L7v6q69qW69peahixeunQpVq5ciZiYGLRv3x4tWrTApEmTqnX+zszMxM2bN1FeXo7s7Gy0b9++1vhUPWc2VGMcx1KpVPSDkKrn2OdRV9yqLF/Vz6qm/bcmz3u9sHnzZkRERODAgQPYsWMH5syZg0OHDqFLly5Kz5mqHovKxMXF4cMPP6yzzP79+9GtWzeV2wSAu3fvVvsRo6E4gakniUQCXU3dBtVVV1NvcN36ICJMmDABe/bsQUJCAlq2bNmgdoYMGYI5c+bg7Nmz2LVrF7788kvRfF9fX2zatAkaGhrCAdqjRw98++23SE9PR48ePYSy7u7uWLduHYhI+HKremEAPPuFrioXFxccOXIE8+bNqzXWU6fESeXJkyfh4OCg9MLe3d0dZWVlyM/Pr/NAHD58ONq3b4/w8HCMHDkSfn5+cHZ2FuaXlpbizJkzwq9aaWlpuH//vqhMBblcDktLSyQlJYnuUiUlJdX4q1gFc3NzWFpa4o8//sDQoUPrXK+anDhxAra2tpg9e7YwrXLHQABwdnbGqVOnEBISIkw7efJkvZdV0+fYunXratM8PDyQlpZW47zKTp48WS0md3d34b1cLkdQUBCCgoIwaNAg9O7dG3fv3lX6q62zszN2794t2i+TkpIgk8kalPRX8PLywpEjR0RD4B46dKjOu1leXl7VhlpWVqegoACZmZkYNmxYjfOlUmmN27by3ZK6qLLPKNOqVStoamri1KlTsLGxAfCsM3B6erqw/zs7O6O0tBSnTp0Shlm/c+cO0tLS0LZt23otrz40NDTg5+cHPz8/REVFwcDAAL/88gv8/f2FDsiVj9HKPDw8sHv3btjZ2dU4ipcq6/2iGBkZVdv3zczMGmVkKi0trWp3tj08PJCXlwcNDQ3hDooqKj7jr776Svj+rTqqnouLCzZu3Fjr8VxTPFU5OzsjNjYWjx8/Fi5Ck5KSoKamVq87YrXtLzVdTCYlJaF///54//33ATxLANPT00X7c0lJCd5//30EBQXByckJI0aMwMWLF2v9nFQ9Z1bl5OSE06dPi75DT58+rbReZQ09RlU9x74oqixflc+qPpRdL6gat7u7O2bOnAkvLy9s27YNXbp0UXrOVOVYVOU8//bbb1f7obSqmvZHZS5duiS6NnwenMC8gsaNG4dt27bhhx9+gEwmQ15eHgBAX19f+IUmJCQEVlZWotGaqrKzs4O3tzfCw8NRVlaGt99+WzS/e/fuePToEfbu3YtPPvkEwLMEZtCgQVAoFHB0dBTK9uzZEwUFBbh8+XK9/ucAAMycORPt27fH2LFjMXr0aGhpaeHo0aN49913hRGYcnJyMHnyZHz44Yc4d+4cvvjiC5XuLDg6OmLo0KEICQnB8uXL4e7ujlu3buHIkSNwcXFB3759sWbNGvz222+4cOECrK2tsW/fPgwdOhQnT56ElpYWgGe/AE2YMAGrVq2ChoYGxo8fjy5dutSakEydOhVRUVFo1aoV3NzcsHnzZiQnJwsjjdVm3rx5iIiIgL6+Pnr37o0nT57gzJkzuHfvHiZPnlxnXQcHB+Tk5GD79u3o2LEj9u3bV200kIkTJyIsLAyenp7w8fFBXFwcLl++DHt7e6XbsiHmzp2Lfv36wcbGBoMGDYKamhpSUlJw6dIlLFy4UCj33XffwdPTE127dkVcXBx+//13/Pe//wUAfP7551AoFHB3d4eamhq+++47WFhYqPRr09ixYxETE4MJEyZg/PjxSEtLQ1RUFCZPngw1tYY/YTtx4kT4+vpi+fLl6Nu3L7Zv344zZ85gw4YNQpmZM2fixo0b+OabbwA8+9V89erVmDZtGoYPH45ffvkFO3fuxL59+4Q6kZGRwi/WN2/eRFRUFNTV1REcHNzgWOuiyj6jjJ6eHsLDwzF16lQYGxvDzMwMs2fPFm1fBwcH9O/fHyNHjsT69eshk8kwY8YMWFlZoX///o29WgCAvXv34o8//kD37t1haGiI+Ph4lJeXw8nJCTKZDJGRkfjoo49QXl6Orl274sGDB0hKSoJcLkdoaCjGjRuHr776CsHBwcIIdRkZGdi+fTs2btyo0nrXpuKuWUFBAW7duoXk5GRoaWm90GROVXZ2dsjKykJycjJee+01yGQy+Pn5wcvLCwMGDMBnn30GR0dH3Lx5E/v27cPAgQNrfDQRAAwNDWFsbIwNGzZAoVAgJycHM2bMEJUJDg7G4sWLMWDAACxZsgQKhQLnz5+HpaUlvLy8aoyn6mNYQ4cORVRUFEJDQxEdHY1bt25hwoQJGDZsmHBXUpm69peaODg4YNeuXThx4gQMDQ3x+eef4++//xZ9hrNnz8aDBw+watUq6OnpIT4+HsOHD8fevXtViklVEyZMwMiRI+Hp6Qlvb2/s2LEDFy5cqNf3ekOPUVXOsS+SKstX5bNSlSrXC3XJysrChg0b8Pbbb8PS0hJpaWm4du2akGwoO2eqciyqcp6XyWQq/9AFAHl5ecjLyxPuPF+8eBEymQw2NjbCDw+FhYU4e/asaOS956K0l8y/WH06E6li/OHxjdKOMgBqfG3evFko4+vrW+dIEBXWrl1LACgkJKTG+a6urmRhYSG8v3PnDkkkEnrvvfeqlR08eDDNmDGj3utDRJSQkEDe3t6kra1NBgYGFBAQIHQS8/X1pbFjx9Lo0aNJLpeToaEhzZo1S+WR20pKSmju3LlkZ2dHmpqapFAoaODAgXThwgVKTU0lqVQq6pB97949sra2pmnTphHR/zoZ7t69m+zt7UlbW5v8/PxEo0NV7XhYVlZG0dHRZGVlRZqamuTq6kr79+8X5lftXFtZXFwcubm5kZaWFhkaGlL37t3p//7v/1Ra16lTp5KxsTHp6elRUFAQrVixQtRBkoho0aJFZGJiQnp6ehQaGkrTpk17YZ34iYgOHDhA3t7eJJVKSS6XU6dOnUQjyACgNWvWkL+/P2lra5OdnR3t2LFDmL9hwwZyc3OjFi1akFwup169etG5c+dE9WvrxE/0bN/q2LEjaWlpkYWFBU2fPp2ePn0qzK+pI3X//v2VHj87d+4kR0dH0tLSonbt2tG+fftE80NDQ8nX11c07ejRo8Jna29vLzpmiZ6N4KJQKEhLS4usrKwoKChI1Kn9edja2lYbOY1I+T5TUyfqFStWkK2trfD+0aNH9P7775Ouri6Zm5vTZ599Vm273r17l4YNG0b6+voklUopICBANEpR1c68tS07NDSU+vfvr3R9ExMTydfXlwwNDUkqlZKLi4tovyovL6eYmBhycnIiTU1NMjU1pYCAADp27JhQJj09nQYOHEgGBgYklUqpTZs2NGnSJOG7R5X1rklN39+Vt2djqa0Tf+UOuOfPnycAlJWVRUTPBjj4z3/+QwYGBqLzysOHD2nChAlkaWlJmpqaZG1tTUOHDqWcnBwiqr2z/aFDh8jZ2Zm0tbXJxcWFEhISRMcsEVF2djb95z//IblcTrq6uuTp6SkMkFJbPFXbuHDhAvXs2ZN0dHTIyMiIRo4cKRr8oab9ZuLEicIxqmx/qerOnTvUv39/0tPTIzMzM5ozZw6FhIQIyzh69ChpaGhQYmKi6POQy+W0du3aWttVRU3Hyvz584Xv9eHDh1NERAR16dJF5fUnatgxSlT3Oba+61JTJ35lcStbvrLPiki1ATVUuV4gomrXY5Xl5eXRgAEDhO95W1tbmjt3rjCoDJHyc6ayY5FI+Xm+vqKiopRed27bto2cnJzqbKc+190SIhX/Wca/UHFxMbKyskRj1j+PCUcm4IteXzRCZM3ThQsX4O/vj8zMzEZ79vWfIDY2FpMmTar2n2dZ45BIJNizZw8GDBjQ1KEwxtgrwd/fHxYWFtiyZUtTh/KvkpWVBUdHR1y5cgUODg5NHc5L1aVLF0RERGDIkCG1lqnPdTc/QvYS9WlZ8wgh/xYuLi749NNPkZWVVWdHRcYYY4w1jsLCQnz55ZcICAiAuro6vv32Wxw+fBiHDh1q6tD+deLj4zFq1Kh/XfJy+/ZtvPPOO436uDMPo/wSvWX/VlOH0OTCwsJeavJSdRjZqq9XSdWhUyu/ahtek7FX1b/p2GesLhKJBPHx8ejevTs6dOiAn376Cbt374afn19ThyYaGrrqq9H6SvyDjBs3DmvWrGnqMF46ExMTTJs2TTRC3fPiR8jq0NiPkLGXr6ioCDdu3Kh1vrLRr5qTu3fv4u7duzXOk0qlDRoxhLHm6t907DPWXN24cUMYGrqqmkbTY682foSMsf+vtmFkX0X8Zc/Y//ybjn3Gmiv+YY01FD9CxhhjjDHGGGs2OIFhjDHGGGOMNRucwDDGGGOMMcaaDU5gGGOMMcYYY80GJzAv08VdTR0BY4wxxhhjzRonMC8TJzCMMcYYY4w9F05g2D9SdnY2JBIJkpOTAQAJCQmQSCS4f/9+k8ZVl2HDhjX5P97q0aMHJk2a9MLaP3DgANzc3FBeXv7ClsEYY4wxVhdOYF5Bx48fR2BgICwtLSGRSPD99983qB2JRCK8NDQ0YGNjg8mTJ+PJkyeNG7AKvL29kZubC319fQBAbGwsDAwMqpWzs7NDTExMtenR0dFwc3MTTcvLy8OECRNgb28PbW1tWFtbIzAwEEeOHBG1V7EN1NXVYWlpifDwcNy7d0/UVkpKCuLj4xEREfHc69qUIiIi0KFDB2hra1fbXgDQu3dvaGpqIi4u7uUHxxhjjDEGTmBeSY8fP4arqyvWrFnz3G1t3rwZubm5yMrKwtq1a7FlyxYsXLiwEaKsHy0tLVhYWEAikTRKe9nZ2ejQoQN++eUXLF26FBcvXsSBAwfQs2dPjBs3TlR2/vz5yM3NRU5ODuLi4nD8+PFqicoXX3yBd999F3p6eo0SX1MaPnw4goKCap0fFhaGVatWvcSIGGOMMcb+hxOY+iICSh437FVe2vC6RCqH2KdPHyxcuBADBw587tU1MDCAhYUFrK2t0a9fP/Tv3x/nzp0T5mdmZqJ///4wNzeHnp4eOnbsiMOHD4vasLOzw+LFizF8+HDIZDLY2Nhgw4YNojK///473N3doaOjA09PT5w/f140v/IjZAkJCfjggw/w4MED4e5IdHR0vdZr7NixkEgk+P333/Gf//wHjo6OaNeuHSZPnoyTJ0+KyspkMlhYWMDKygo9e/ZEaGioaBuUlZVh165dCAwMFNVbu3YtHBwcoKOjA3NzcwwaNEiYV15ejiVLlqBly5aQSqVwdXXFrl3iPlKXLl1Cnz59oKenB3NzcwwbNgy3b98W5j9+/BghISHQ09ODQqHA8uXL67UNarJq1SqMGzcO9vb2tZYJDAzEmTNnkJmZ+dzLY4wxxhirL42mDqDZeVoILLZseP2G1p11E9Bq0fDlNoL09HT88ssvCAsLE6YVFBTgrbfewqJFi6CtrY1vvvkGgYGBSEtLg42NjVBu+fLlWLBgAWbNmoVdu3ZhzJgx8PX1hZOTEwoKCtCvXz/4+/tj69atyMrKwsSJE2uNw9vbGzExMZg7dy7S0tIAoF53Pu7evYsDBw5g0aJFaNGi+jat6dG0Cjdu3MBPP/2Ezp07C9MuXLiABw8ewNPTU5h25swZREREYMuWLfD29sbdu3eRmJgozF+yZAm2bt2KL7/8Eg4ODjh+/Djef/99mJqawtfXF/fv38cbb7yBESNGYMWKFSgqKsL06dMxePBg/PLLLwCAqVOn4tixY/jhhx9gZmaGWbNm4dy5c6JHv0aPHo2tW7fWuT0KCgqUbTIRGxsbmJubIzExEa1atapXXcYYY4yx58UJDKtTcHAw1NXVUVpaiidPnqBfv36YOXOmMN/V1RWurq7C+wULFmDPnj348ccfMX78eGH6W2+9hbFjxwIApk+fjhUrVuDo0aNwcnLCtm3bUF5ejv/+97/Q0dFBu3bt8Ndff2HMmDE1xqSlpQV9fX1IJBJYWFjUe50yMjJARGjTpo1K5adPn445c+agrKwMxcXF6Ny5Mz7//HNh/vXr16Gurg4zMzNhWk5ODlq0aIF+/fpBJpPB1tYW7u7uAIAnT55g8eLFOHz4MLy8vAAA9vb2+PXXX7F+/Xr4+vpi9erVcHd3Fw0KsGnTJlhbWyM9PR2Wlpb473//i61bt6JXr14AgK+//hqvvfaaKPb58+cjMjKy3ttIGUtLS1y/fr3R22WMMcYYU4YTmPrS1H12N6QhdoYCg79u+HKbwIoVK+Dn54eysjJkZGRg8uTJGDZsGLZv3w7g2a/30dHR2LdvH3Jzc1FaWoqioiLk5OSI2nFxcRH+rkg88vPzAQCpqalwcXGBjo6OUKbiwv5FoHo8jgc8u9MRFhYGIsKff/6JWbNmoW/fvjh+/DjU1dVRVFQEbW1tUf8cf39/2Nrawt7eHr1790bv3r0xcOBA6OrqIiMjA4WFhfD39xctp6SkREhyUlJScPTo0RrvLGVmZqKoqAglJSWiO0FGRkZwcnISlTUzMxMlVo1FKpWisLCw0dtljDHGGFOGE5j6kkga/iiXmkaTPwZWXxYWFmjdujUAwMnJCY8ePUJwcDAWLlyI1q1bIzIyEocOHcKyZcvQunVrSKVSDBo0CCUlJaJ2NDU1Re8lEskLGYpXLpfjwYMH1abfv39fGMHMwcEBEokEV69eValNExMTYRs4ODggJiYGXl5eOHr0KPz8/GBiYoLCwkKUlJRAS0sLwLN+M+fOnUNCQgIOHjyIuXPnIjo6GqdPnxYe2dq3bx+srKxEy9LW1gbwLDEMDAzEp59+Wi0ehUKBjIwMlWJ/EY+QAc8ewzM1Na13PcYYY4yx58UJDKsXdXV1AEBRUREAICkpCWFhYcKAAQUFBcjOzq5Xm87OztiyZQuKi4uFuzBVO9JXpaWlhbKysmrTnZyccPbs2WrTz507J9ydMDIyQkBAANasWYOIiIhq/WDu379fZz+Yqtugos/JlStXRP1PNDQ04OfnBz8/P0RFRcHAwAC//PIL/P39oa2tjZycHPj6+ta4DA8PD+zevRt2dnbQ0Kh+mLZq1Qqampo4deqU0Nfo3r17SE9PF7X5Ih4hKy4uRmZmpnC3iDHGGGPsZeIE5hVUUFAg+oU+KysLycnJMDIyEi52Z86ciRs3buCbb76ps6379+8jLy8P5eXluHbtGubPnw9HR0c4OzsDeHZH4v/+7/8QGBgIiUSCjz/+uN53VoYMGYLZs2dj5MiRmDlzJrKzs7Fs2bI669jZ2aGgoABHjhyBq6srdHV1oauri48++gjdunXDokWL8M4776CsrAzffvstfvvtN6xdu1aov2bNGvj4+KBTp06YP38+XFxcUFpaikOHDmHdunVITU0Vyj569Ah5eXnCI2TTpk2DqakpvL29AQCmpqbw8PDAr7/+KiQwe/fuxR9//IHu3bvD0NAQ8fHxKC8vh5OTE2QyGSIjI/HRRx+hvLwcXbt2xYMHD5CUlAS5XI7Q0FCMGzcOX331FYKDgzFt2jQYGRkhIyMD27dvx8aNG6Gnp4fw8HBMnToVxsbGMDMzw+zZs6GmJh5YsL6PkGVkZKCgoAB5eXkoKioS/pFo27ZthbtLJ0+ehLa29gt9zI8xxhhjrFbEalVUVERXrlyhoqKixmkwLqhx2lHi6NGjBKDaKzQ0VCgTGhpKvr6+dbZTua5EIiGFQkFBQUGUmZkplMnKyqKePXuSVCola2trWr16Nfn6+tLEiROFMra2trRixQpR266urhQVFSW8/+2338jV1ZW0tLTIzc2Ndu/eTQDo/PnzonW6d++eUGf06NFkbGxMAERt/fzzz+Tj40OGhoZkbGxMPXr0oGPHjlVbv5s3b9K4cePI1taWtLS0yMrKit5++206evSoKPbK28HU1JTeeustIa4Ka9eupS5dugjvExMTydfXlwwNDUkqlZKLiwvt2LFDmF9eXk4xMTHk5OREmpqaZGpqSgEBAaI409PTaeDAgWRgYEBSqZTatGlDkyZNovLyciIievToEb3//vukq6tL5ubm9Nlnn1Xb9vXl6+tb476TlZUllBk1ahR9+OGHDV4GY4wxxlhV9bnulhDVs0fzv0hxcTGysrLQsmVLUQfzBtv2HjBk+/O3w/5xioqK4OTkhB07drzSdyZu374NJycnnDlzBi1btmzqcBhjjDH2iqjPdTf/I8uXqf0g5WVYsySVSvHNN9+I/tHkqyg7Oxtr167l5IUxxhhjTYbvwNSh0e/AMMYYY4wxxqrhOzCMMcYYY4yxVxInMIwxxhhjjLFmgxMYxhhjjDHGWLPBCQxjjDHGGGOs2eAEhjHGGGOMMdZscALzEv2QfKOpQ2CMMcYYY6xZ4wTmJfop5WZTh8AYY4wxxlizxgkM+0eKjo6Gm5vbS1lWSUkJWrdujRMnTryU5dVGIpHg+++/f2Htz5gxAxMmTHhh7TPGGGOMvQycwLyi1qxZAzs7O+jo6KBz5874/fff61U/OzsbEolEeBkZGcHX1xeJiYkvKOKm8+WXX6Jly5bw9vZu6lAaLDc3F0OGDIGjoyPU1NQwadKkamUiIyPx9ddf448//nj5ATLGGGOMNRJOYF5BO3bswOTJkxEVFYVz587B1dUVAQEByM/Pr3dbhw8fRm5uLo4fPw5LS0v069cPf//99wuIumkQEVavXo3w8PCmDuW5PHnyBKamppgzZw5cXV1rLGNiYoKAgACsW7fuJUfHGGOMMdZ4OIGpJyJCYUlpg15l5Q2vS0Qqx/j5559j5MiR+OCDD9C2bVt8+eWX0NXVxaZNm+q9vsbGxrCwsMDrr7+OWbNm4eHDhzh16pQwf8uWLfD09IRMJoOFhQWGDBkiSpQSEhIgkUhw5MgReHp6QldXF97e3khLSxMt55NPPoG5uTlkMhnCw8NRXFwsml9eXo758+fjtddeg7a2Ntzc3HDgwAFhfsUdo507d6Jbt26QSqXo2LEj0tPTcfr0aXh6ekJPTw99+vTBrVu3hHpnz55FZmYm+vbtK0wrKSnB+PHjoVAooKOjA1tbWyxZskSYf//+fYwYMQKmpqaQy+V44403kJKSIor3hx9+gIeHB3R0dGBvb4958+ahtLRUmH/t2jV0794dOjo6aNu2LQ4dOlTfj0bEzs4OK1euREhICPT19WstFxgYiO3btz/XshhjjDHGmpJGUwfQ3BQ9LUPbuT83uH5D616ZHwBdLeUfV0lJCc6ePYuZM2cK09TU1ODn54fffvutQcsGgKKiInzzzTcAAC0tLWH606dPsWDBAjg5OSE/Px+TJ09GWFgY4uPjRfVnz56N5cuXw9TUFKNHj8bw4cORlJQEANi5cyeio6OxZs0adO3aFVu2bMGqVatgb28v1F+5ciWWL1+O9evXw93dHZs2bcLbb7+Ny5cvw8HBQSgXFRWFmJgY2NjYYPjw4RgyZAhkMhlWrlwJXV1dDB48GHPnzhXuQiQmJsLR0REymUxoY9WqVfjxxx+xc+dO2NjY4M8//8Sff/4pzH/33XchlUqxf/9+6OvrY/369ejVqxfS09NhZGSExMREhISEYNWqVejWrRsyMzMxatQoIb7y8nK88847MDc3x6lTp/DgwYMaH/lq164drl+/Xutn0q1bN+zfv1/pZ1dZp06d8NdffyE7Oxt2dnb1qssYY4wx9k/ACcwr5vbt2ygrK4O5ublourm5Oa5evVrv9ry9vaGmpobCwkIQETp06IBevXoJ84cPHy78bW9vj1WrVqFjx44oKCiAnp6eMG/RokXw9fUF8Kwzed++fVFcXAwdHR3ExMQgPDxceIxr4cKFOHz4sOguzLJlyzB9+nS89957AIBPP/0UR48eRUxMDNasWSOUi4yMREBAAABg4sSJCA4OxpEjR+Dj4wMACA8PR2xsrFD++vXrsLS0FK1zTk4OHBwc0LVrV0gkEtja2grzfv31V/z+++/Iz8+Htra2ENv333+PXbt2YdSoUZg3bx5mzJiB0NBQYbssWLAA06ZNQ1RUFA4fPoyrV6/i559/Fpa9ePFi9OnTRxRHfHw8nj59WutnI5VKa51Xm4rlXb9+nRMYxhhjjDVLnMDUk1RTHVfmBzSo7ri4c1gz1KPBy20KO3bsQJs2bXDp0iVMmzYNsbGx0NTUFOafPXsW0dHRSElJwb1791BeXg7gWRLQtm1boZyLi4vwt0KhAADk5+fDxsYGqampGD16tGi5Xl5eOHr0KADg4cOHuHnzppCEVPDx8an26Fbl5VQkce3btxdNq/yIW1FREXR0dERthIWFwd/fH05OTujduzf69euHN998EwCQkpKCgoICGBsbi+oUFRUhMzNTKJOUlIRFixYJ88vKylBcXIzCwkKkpqbC2tpalDh5eXmhqsqJU2OpSHoKCwsbvW3GGGOMsZeBE5h6kkgkKj3KVRN1tYbXVZWJiQnU1dWrdbT/+++/YWFhUe/2rK2t4eDgAAcHB5SWlmLgwIG4dOkStLW18fjxYwQEBCAgIABxcXEwNTVFTk4OAgICUFJSImqnctIjkUgAQEh2GlNNy6k6rfJyTUxMcPHiRVEbHh4eyMrKwv79+3H48GEMHjwYfn5+2LVrFwoKCqBQKJCQkFBt2QYGBgCAgoICzJs3D++88061MlWTpbq8iEfI7t69CwAwNTWtVz3GGGOMsX8KTmBeMVpaWujQoQOOHDmCAQMGAHiWKBw5cgTjx49/rrYHDRqEuXPnYu3atfjoo49w9epV3LlzB5988gmsra0BAGfOnKl3u87Ozjh16hRCQkKEaSdPnhT+lsvlsLS0RFJSkvAYGgAkJSWhU6dOz7FGgLu7O9atWwciEhKeimUGBQUhKCgIgwYNQu/evXH37l14eHggLy8PGhoatT6C5eHhgbS0NLRu3brW9f3zzz+Rm5sr3I2qvL4VXsQjZJcuXYKmpibatWtX77qMMcYYY/8EnMC8giZPnozQ0FB4enqiU6dOiImJwePHj/HBBx8IZUJCQmBlZSUaXUsZiUSCiIgIREdH48MPP4SNjQ20tLTwxRdfYPTo0bh06RIWLFhQ73gnTpyIsLAweHp6wsfHB3Fxcbh8+bKoE//UqVMRFRWFVq1awc3NDZs3b0ZycjLi4uLqvbzKevbsiYKCAly+fBmvv/46gGejuCkUCri7u0NNTQ3fffcdLCwsYGBgAD8/P3h5eWHAgAH47LPP4OjoiJs3b2Lfvn0YOHAgPD09MXfuXPTr1w82NjYYNGgQ1NTUkJKSgkuXLmHhwoXw8/ODo6MjQkNDsXTpUjx8+BCzZ8+uFlt9HyFLTk4G8OwO0K1bt5CcnAwtLS3Ro3yJiYnCKG2MMcYYY80RD6P8CgoKCsKyZcswd+5cuLm5ITk5GQcOHBB17M/JyUFubm692w4NDcXTp0+xevVqmJqaIjY2Ft999x3atm2LTz75BMuWLWtQvB9//DGmTZuGDh064Pr16xgzZoyoTEREBCZPnowpU6agffv2OHDgAH788UfRCGQNYWxsjIEDB4oSIZlMhs8++wyenp7o2LEjsrOzER8fDzU1NUgkEsTHx6N79+744IMP4OjoiPfeew/Xr18Xtm9AQAD27t2LgwcPomPHjujSpQtWrFghJCRqamrYs2cPioqK0KlTJ4wYMULUX6ah3N3d4e7ujrNnz2Lbtm1wd3fHW2+9JSqzfft2jBw58rmXxRhjjDHWVCRUn38w8i9TXFyMrKwstGzZsl59F2oz4uvT2BjasREiY43pwoUL8Pf3R2ZmpmjktFfN/v37MWXKFFy4cAEaGnzzlTHGGGP/HPW57uY7MC9RoKul8kLspXNxccGnn36KrKyspg7lhXr8+DE2b97MyQtjjDHGmjW+A1OHxr4DwxhjjDHGGKuO78AwxhhjjDHGXkmcwKiAb1IxxhhjjDH24tTnepsTmDpU/ANE/q/ljDHGGGOMvTgV19uV/wF5bbg3bx3U1dVhYGCA/Px8AICurq7onx0yxhhjjDHGGo6IUFhYiPz8fBgYGEBdXV1pHe7ErwQRIS8vD/fv32/qUBhjjDHGGHslGRgYwMLCQqWbBZzAqKisrAxPnz5t6jAYY4wxxhh7pWhqaqp056UCJzCMMcYYY4yxZoM78TPGGGOMMcaaDU5gGGOMMcYYY80GJzCMMcYYY4yxZoMTGMYYY4wxxlizwQkMY4wxxhhjrNngBIYxxhhjjDHWbHACwxhjjDHGGGs2/h8GxTyMUxkexAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import coba as cb\n", "\n", "env = cb.Environments.from_linear_synthetic(n_interactions=500, n_context_features=1, n_action_features=0, n_actions=5,seed=3).shuffle(n=10)\n", "lrn = [cb.RandomLearner(), cb.BanditUCBLearner(), cb.VowpalEpsilonLearner(features=(1,'a','ax')) ]\n", "\n", "cb.Experiment(env,lrn).run(quiet=True).plot_learners(err='bs')" ] }, { "cell_type": "markdown", "id": "4e4a9fe2", "metadata": {}, "source": [ "## Real-Data Experiment\n", "\n", "The `cb.VowpalEpsilonLearner` looks good on the synthetic dataset. We are now ready to see how it performs on real-world datasets.\n", "\n", "For this experiment we're going to do the following:\n", "1. Use the [Feurer benchmark](https://jmlr.org/papers/v23/21-0992.html) to download 247 classification datasets from openml, which coba will turn into contextual bandit environments. \n", "2. Save the results of our experiment to disk in case we want to look at them again later or resume the experiment if anything goes wrong.\n", "3. Turn on multiprocessing so that Environments and Learners are evaluated in parallel up to our requested processes." ] }, { "cell_type": "code", "execution_count": 6, "id": "1ed8bb94", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: total: 9.53 s\n", "Wall time: 4min 42s\n", "{'Learners': 3, 'Environments': 247, 'Interactions': 1428000}\n" ] } ], "source": [ "%%time\n", "\n", "import coba as cb\n", "\n", "#Given 240 different datasets things can vary quite a bit from dataset to dataset. Therefore, we limit\n", "#ourselves to datasets with fewer than 101 features and fewer than 27 actions due to LinUCB needing to\n", "#create a square matrix, resevoir sampling to just select 4,000 random interactions from each data set,\n", "#and then apply feature scaling so that datasets are a little more consistent.\n", "env = cb.Environments.from_feurer().reservoir(4000,strict=True).scale('med','iqr')\n", "lrn = [cb.RandomLearner(), cb.BanditUCBLearner(), cb.VowpalEpsilonLearner(features=(1,'a','ax')) ]\n", "\n", "#We're not going to do replications this time for the sake of time but\n", "#just as we did above this could be turned on here too for a final run.\n", "# env = env.shuffle(n=10)\n", "\n", "# > adding a filename to the run command will save results as the experiment runs\n", "# > adding a .gz extension to the filename will automatically compress to save space\n", "exp = cb.Experiment(env,lrn)\n", "\n", "#Make this True to actually run the experiment. It takes some time.\n", "exp.run('real-data.log.gz',quiet=True,processes=12)" ] }, { "cell_type": "code", "execution_count": 5, "id": "03eadd94", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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