{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load /Users/facai/Study/book_notes/preconfig.py\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set(style=\"whitegrid\", color_codes=True)\n", "# sns.set(font='SimHei', font_scale=2.5)\n", "plt.rcParams['axes.grid'] = True\n", "\n", "import numpy as np\n", "import pandas as pd\n", "\n", "np.random.seed(0)\n", "\n", "import logging\n", "logging.basicConfig()\n", "logger = logging.getLogger(__name__)\n", "\n", "from IPython.display import Image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 2: Multi-armed Bandits\n", "==============\n", "\n", "\n", "### 2.1 A k-armed Bandit Problem\n", "\n", "nonassociative, evaluative feedback problem:\n", "\n", "reward = sample(P(action))\n", "+ P(action) is a **stationary** probability distribution.\n", "+ reward: $R$\n", "+ $k$ different actions $a$.\n", "+ goal: maximize the expected total reward over some time period.\n", "\n", "The value $q$ of $a$ is the expected reward:\n", "\n", "\\begin{align}\n", " q(a) &= \\mathbb{E} \\left [ R_t \\mid A_t = a \\right ] \\\\\n", " &\\approx \\frac1{N} \\sum_t^N R_t \\mid A_t = a \\quad \\text{law of large numbers} \\\\\n", " &= Q_t(a)\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2 Action-value Methods\n", "\n", "one natural way to estimate the value of $a$ is by averaging the rewards actually received: (sample-average method)\n", "\\begin{equation}\n", " Q_t(a) = \\frac{\\sum_{i=1}^{t-1} R_i \\cdot \\mathbb{1}(A_i = a)}{\\sum_{i=1}^{t-1} \\cdot \\mathbb{1}(A_i = a)}\n", "\\end{equation}\n", "\n", "strategies:\n", "+ greedy action: $A_t = \\operatorname{argmax}_a Q_t(a)$\n", "+ $\\epsilon$-greedy actions:\n", "\n", "\\begin{equation}\n", " A_t =\n", " \\begin{cases}\n", " \\operatorname{argmax}_a Q_t(a) & \\quad \\text{ with probability 1 - $\\epsilon$} \\\\\n", " \\text{a random action} & \\quad \\text{ with probability $\\epsilon$}\n", " \\end{cases}\n", "\\end{equation}\n", "\n", "##### Exercise\n", "2.1:\n", "\n", "$0.5 * 1 + 0.5 * 1/2 = 0.75$\n", "\n", "\n", "2.2: \n", "\n", "+ definitely occur: steps = 2, 5\n", "+ possiblly occur: steps= 1, 3, 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3 The 10-armed Testbed" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "reward_funcs = [\n", " lambda size: np.random.normal(0.2, 1, size),\n", " lambda size: np.random.normal(-0.8, 1, size),\n", " lambda size: np.random.normal(1.5, 1, size),\n", " lambda size: np.random.normal(0.4, 1, size),\n", " lambda size: np.random.normal(1.2, 1, size),\n", " lambda size: np.random.normal(-1.3, 1, size),\n", " lambda size: np.random.normal(-0.2, 1, size),\n", " lambda size: np.random.normal(-1.0, 1, size),\n", " lambda size: np.random.normal(1.0, 1, size),\n", " lambda size: np.random.normal(-0.4, 1, size),\n", "]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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BLANjwIYyHn6/HwcPHpQ7nIjgeWGIpt4I2JIXfh5jQHwmj8HBwZgbsjwzlyy6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\n0Sb0zClgipFqkrLx8XHs3LkTRp0e3ymVvtXsVzc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8ZLQrqjDg7KOsqZC0tDRTDI3+btni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qM9gT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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "examples = pd.DataFrame([func(2000) for func in reward_funcs]).T\n", "examples.index.name = \"Reward distribution\"\n", "plt.figure(figsize=(15, 7))\n", "sns.violinplot(data=examples)\n", "del examples" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class GreedyAction(object):\n", " def __init__(self, k, varepsilon=0):\n", " self.varepsilon = varepsilon\n", " self.k = k\n", " # sum of rewards, number of action\n", " self._records = np.zeros((k, 2))\n", " \n", " def _Q_t(self):\n", " r = self._records[:, 0]\n", " n = self._records[:, 1]\n", " res = np.divide(r, n, out=np.zeros_like(r), where=n!=0)\n", " logger.info(\"Q_t: {}\".format(res))\n", " return res\n", " \n", " def action(self):\n", " if np.random.random() < self.varepsilon:\n", " a = np.random.randint(low=0, high=self.k)\n", " logger.info(\"random action: {}\".format(a))\n", " return a\n", " else:\n", " a = np.argmax(self._Q_t())\n", " logger.info(\"greedy action: {}\".format(a))\n", " return a\n", " \n", " def update_reward(self, action, reward):\n", " self._records[action, 0] += reward\n", " self._records[action, 1] += 1\n", " \n", " \n", "class Environment(object):\n", " def __init__(self, reward_funcs):\n", " self.reward_funcs = reward_funcs\n", " self.k = len(reward_funcs)\n", " \n", " def feedback(self, action):\n", " assert 0 <= action < self.k, \"action: {} must be in [0, {}]\".format(action, self.k)\n", " return self.reward_funcs[action](1)[0]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def run_10_armed(varepsilon):\n", " opt_action = 2\n", " env = Environment(reward_funcs)\n", " actioner = GreedyAction(env.k, varepsilon)\n", " step_records = []\n", " \n", " def step():\n", " history = []\n", " for _ in range(100):\n", " a = actioner.action()\n", " r = env.feedback(a)\n", " actioner.update_reward(a, r)\n", " logger.info(\"action: {}, reward: {}\".format(a, r))\n", " history.append([a, r])\n", " history = np.array(history)\n", " return np.sum(history[:, 0] == opt_action), np.sum(history[:, 1]), history.shape[0] \n", " \n", " for _ in range(100):\n", " step_records.append(step())\n", " \n", " result = pd.DataFrame(step_records, columns=[\"opt_actions\", \"total_rewards\", \"iterate_nums\"])\n", " result = result.cumsum()\n", " result[\"opt_actions_rate\"] = result[\"opt_actions\"] / result[\"iterate_nums\"]\n", " result[\"average_rewards\"] = result[\"total_rewards\"] / result[\"iterate_nums\"]\n", " # return result[[\"opt_actions_rate\", \"average_rewards\"]]\n", " return result" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "logger.setLevel(logging.WARNING)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Zz6CqqmrIO+9O9yDsDkISpfNvORERARhCkNfX1+Pxxx/H/fff3+/xgwcPor6+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\n", 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PmTMHjzzySJ83bNgmhABKA74+P5aIiE7KGeRDxbANQMgIBTS3mkBENCK4tmen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\nOAY5EVGBY5ATERW4/w8x+EN1h3cGxAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfs = [run_10_armed(v) for v in [0.1, 0.01]]\n", "results = pd.concat(dfs, keys=['0.1', '0.01'], axis=1).swaplevel(0, 1, axis=1)\n", "results[\"average_rewards\"].plot()\n", "results[\"opt_actions_rate\"].plot()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "实验结果和书中有出入" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 2.4 Incremental Implementation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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AAhSgAAUoQAEKUIACFGAAju8ABShAAQpQgAIUoAAFKEABClCAAhSgAAVsKMAAnA1xmTUF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\nk9FGLPbKndyLPiwYgSQfw8ut1Cunn6kKafajsfNbetXqDJiD7WuXY8O+8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874C+OVSzY5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\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig_simple.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "General form:\n", "\n", "\\begin{equation}\n", " \\text{NewEstimate} \\leftarrow \\text{OldEstimate} + \\text{StepSize} \\left [ \\text{Target} - \\text{OldEstimate} \\right ]\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.5 Tracking a Nonstationary Problem\n", "\n", "it makes sense to give more weight to recent rewards than to long-past rewards: $Q_{n+1} = \\alpha R_n + (1 - \\alpha) Q_n$ (exponential recency-weighted average)\n", "\n", "the conditions required to assure convergence with probability 1:\n", "\n", "\\begin{align}\n", " \\sum_{n=1}^\\infty \\alpha_n(a) &= \\infty &\n", " \\sum_{n=1}^\\infty \\alpha_n^2(a) &< \\infty &\n", "\\end{align}\n", "\n", "exercise 2.5:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class NonstationaryEnvironment(object):\n", " def __init__(self, reward_funcs):\n", " self.reward_funcs = reward_funcs\n", " self.k = len(reward_funcs)\n", " \n", " self.iteration = 0\n", " \n", " def feedback(self, action):\n", " assert 0 <= action < self.k, \"action: {} must be in [0, {}]\".format(action, self.k)\n", " self.iteration += 1\n", " return self.reward_funcs[action](1)[0] + np.random.normal(0, self.iteration / 100, 1)[0]" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def run_nonstationary_10_armed(varepsilon):\n", " env = NonstationaryEnvironment(reward_funcs)\n", " actioner = GreedyAction(env.k, varepsilon)\n", " step_records = []\n", " \n", " def step():\n", " history = []\n", " for _ in range(100):\n", " a = actioner.action()\n", " r = env.feedback(a)\n", " actioner.update_reward(a, r)\n", " logger.info(\"action: {}, reward: {}\".format(a, r))\n", " history.append([a, r])\n", " history = np.array(history)\n", " return np.sum(history[:, 1]), history.shape[0] \n", " \n", " for _ in range(100):\n", " step_records.append(step())\n", " \n", " result = pd.DataFrame(step_records, columns=[\"total_rewards\", \"iterate_nums\"])\n", " result = result.cumsum()\n", " result[\"average_rewards\"] = result[\"total_rewards\"] / result[\"iterate_nums\"]\n", " return result" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WcYUy3KNNvPt5Gp7uWlbcOq5fPs86LfWiHTvsCeEsuh0Utm3bRl1dHYsXL6a8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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_nonstationary_10_armed(0.01).plot(x='iterate_nums', y='average_rewards')" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class ExpGreedyAction(object):\n", " def __init__(self, k, varepsilon=0, alpha=0.1):\n", " self.varepsilon = varepsilon\n", " self.alpha = alpha\n", " self.k = k\n", " # sum of rewards, number of action\n", " self._records = np.zeros((k, 2))\n", " \n", " def _Q_t(self):\n", " return self._records[:, 0]\n", " \n", " def action(self):\n", " if np.random.random() < self.varepsilon:\n", " a = np.random.randint(low=0, high=self.k)\n", " logger.info(\"random action: {}\".format(a))\n", " return a\n", " else:\n", " a = np.argmax(self._Q_t())\n", " logger.info(\"greedy action: {}\".format(a))\n", " return a\n", " \n", " def update_reward(self, action, reward):\n", " self._records[action, 1] += 1\n", " self._records[action, 0] += self.alpha * (reward - self._records[action, 0]) / self._records[action, 1]" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def run_exp_10_armed(varepsilon, alpha):\n", " env = NonstationaryEnvironment(reward_funcs)\n", " actioner = ExpGreedyAction(env.k, varepsilon, alpha)\n", " step_records = []\n", " \n", " def step():\n", " history = []\n", " for _ in range(100):\n", " a = actioner.action()\n", " r = env.feedback(a)\n", " actioner.update_reward(a, r)\n", " logger.info(\"action: {}, reward: {}\".format(a, r))\n", " history.append([a, r])\n", " history = np.array(history)\n", " return np.sum(history[:, 1]), history.shape[0] \n", " \n", " for _ in range(100):\n", " step_records.append(step())\n", " \n", " result = pd.DataFrame(step_records, columns=[\"total_rewards\", \"iterate_nums\"])\n", " result = result.cumsum()\n", " result[\"average_rewards\"] = result[\"total_rewards\"] / result[\"iterate_nums\"]\n", " return result" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZbFCr1SHb2mxDB1HKyspGsta4IdHPvzd0PUIZb9ejvLoL7WYnzi9R4fDhQ6Pal60zcP8o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\nnI6tj141rGpLALjovDy88clJ/HtfDW6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_exp_10_armed(0.1, 0.1).plot(x='iterate_nums', y='average_rewards')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.6 Optimistic Initial Values\n", "\n", "All the methods we have discussed are biased by their initial estimates.\n", "\n", "如2.6式红色部份:\n", "\n", "\\begin{equation}\n", " Q_{n+1} = \\color{red}{(1 - \\alpha)^n Q_1} + \\sum_{i=1}^n \\alpha (1 - \\alpha)^{n-1} R_i\n", "\\end{equation}\n", "\n", "We call this technique for encouraging exploration optimistic initial values: say, using $Q_1(a) = 5$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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BJsAEWCngzwATYAJMgAkwASbABJgAE8jlBFgpyOUfAO4+E2ACTIAJMAEmwASYABNgpYA/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\nek1JccgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig2_3.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exercise 2.6: 前期有大量探索,所以开始表现不好\n", "\n", "Exercise 2.7:\n", "\n", "首先归纳:\n", "\n", "\\begin{align*}\n", " O_{t+1} &= O_t + \\alpha (1 - O_t) \\\\\n", " &= \\alpha + (1 - \\alpha) O_t \\\\\n", " &= \\alpha + (1 - \\alpha) (\\alpha + (1 - \\alpha) O_{t-1} ) \\\\\n", " &= \\alpha + (1 - \\alpha) \\alpha + (1 - \\alpha)^2 O_{t-1} \\\\\n", " &= \\alpha + (1 - \\alpha) \\alpha + (1 - \\alpha)^2 \\alpha + \\cdots + (1 - \\alpha)^{t} O_{t-(t-1)} \\\\\n", " &= \\alpha + (1 - \\alpha) \\alpha + (1 - \\alpha)^2 \\alpha + \\cdots + (1 - \\alpha)^{t} O_1 \\\\\n", " &= \\alpha + (1 - \\alpha) \\alpha + (1 - \\alpha)^2 \\alpha + \\cdots + (1 - \\alpha)^{t} \\alpha \\\\\n", " &= \\alpha (1 + (1 - \\alpha) + (1 - \\alpha)^2 + \\cdots + (1 - \\alpha)^{t}) \\\\\n", " &= \\alpha (1 + \\sum_{k=1}^{t}(1 - \\alpha)^k ) \\\\\n", "\\end{align*}\n", "\n", "得到$\\beta_n = \\frac{\\alpha}{O_n} = \\frac1{1 + \\sum_{t=1}^{n-1} (1 - \\alpha)^t}$\n", "\n", "且:\n", "\\begin{align}\n", " (1 - \\beta_n) \\beta_{n-1} &= \\beta_n (\\frac1{\\beta_n} - 1) \\beta_{n-1} \\\\\n", " &= \\beta_n \\frac{\\sum_{t=1}^{n-1}}{1 + \\sum_{t=1}^{n-2}} \\\\\n", " &= \\beta_n \\frac{(1 - \\alpha) \\left (1 + \\sum_{t=1}^{n-2} \\right )}{1 + \\sum_{t=1}^{n-2}} \\\\\n", " &= \\beta_n (1 - \\alpha)\n", "\\end{align}\n", "\n", "然后,利用2.5式:\n", "\n", "\\begin{align*}\n", " Q_{n+1} &= Q_n + \\beta_n (R_n - Q_n) \\\\\n", " &= \\beta_n R_n + (1 - \\beta_n) Q_n \\\\\n", " &= \\beta_n R_n + (1 - \\beta_n) \\left ( \\beta_{n-1} R_{n-1} + (1 - \\beta_{n-1}) Q_{n-1} \\right ) \\\\\n", " &= \\beta_n R_n + \\color{blue}{(1 - \\beta_n) \\beta_{n-1}} R_{n-1} + (1 - \\beta_n)(1 - \\beta_{n-1}) Q_{n-1} \\\\\n", " &= \\beta_n R_n + \\color{blue}{\\beta_n (1 - \\alpha)} R_{n-1} + (1 - \\beta_n)(1 - \\beta_{n-1}) Q_{n-1} \\\\\n", " &= \\beta_n \\left ( R_n + (1 - \\alpha) R_{n-1} \\right ) + (1 - \\beta_n)(1 - \\beta_{n-1}) Q_{n-1} \\\\\n", " &= \\beta_n \\left ( R_n + (1 - \\alpha) R_{n-1} \\right ) + (1 - \\beta_n)(1 - \\beta_{n-1}) \\left ( \\beta_{n-2} R_{n-2} + (1 - \\beta_{n-2}) Q_{n-2} \\right ) \\\\\n", " &= \\beta_n \\left ( R_n + (1 - \\alpha) R_{n-1} \\right ) + \\color{blue}{(1 - \\beta_n)(1 - \\beta_{n-1}) \\beta_{n-2}} R_{n-2} + \\prod_{t=0}^2 (1 - \\beta_{n-t}) Q_{n-2} \\\\\n", " &= \\beta_n \\left ( R_n + (1 - \\alpha) R_{n-1} \\right ) + \\color{blue}{\\beta_n (1 - \\alpha)^2} R_{n-2} + \\prod_{t=0}^2 (1 - \\beta_{n-t}) Q_{n-2} \\\\\n", " &= \\beta_n \\left ( R_n + (1 - \\alpha) R_{n-1} + (1 - \\alpha)^2 R_{n-2} \\right ) + \\prod_{t=0}^2 (1 - \\beta_{n-t}) Q_{n-2} \\\\\n", " &= \\beta_n \\sum_{t=0}^{2} (1 - \\alpha)^t R_{n-t} + \\prod_{t=0}^2 (1 - \\beta_{n-t}) Q_{n-2} \\\\\n", " &= \\beta_n \\sum_{t=0}^{n-1} (1 - \\alpha)^t R_{n-t} + \\prod_{t=0}^{n-1} (1 - \\beta_{n-t}) Q_{n-(n-1)} \\\\\n", " &= \\beta_n \\sum_{t=0}^{n-1} (1 - \\alpha)^t R_{n-t} + \\prod_{t=0}^{n-1} (1 - \\beta_{n-t}) Q_1 \\\\\n", " &= \\beta_n \\sum_{t=0}^{n-1} (1 - \\alpha)^t R_{n-t} + \\prod_{t=0}^{n-2} (1 - \\beta_{n-t}) \\color{red}{(1 - \\beta_1)} Q_1 \\\\\n", " & \\text{因为 $1 - \\beta_1 = 1 - 1 = 0$} \\\\\n", " &= \\beta_n \\sum_{t=0}^{n-1} (1 - \\alpha)^t R_{n-t} \\\\\n", " &= \\frac{\\sum_{t=0}^{n-1} (1 - \\alpha)^t R_{n-t}}{1 + \\sum_{t=1}^{n-1} (1 - \\alpha)^t} \\\\\n", " &= \\frac{\\sum_{t=0}^{n-1} (1 - \\alpha)^t R_{n-t}}{\\sum_{t=0}^{n-1} (1 - \\alpha)^t} \\\\\n", "\\end{align*}\n", "\n", "可以看到,$Q_{n+1}$式中去除了$Q_1$影响,且各项系数累加等于1。故无偏得证。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.7 Upper-Confidence-Bound Action Selection\n", "\n", "Select among the non-greedy actions according to their potential for actually being optimal:\n", "\n", "\\begin{equation}\n", " A_t \\doteq \\operatorname{argmax}_a \\left [ Q_t(a) + c \\sqrt{\\frac{\\ln t}{N_t(a)}} \\right ]\n", "\\end{equation}\n", "\n", "The square-root term: measure of the uncertainty (or variance) in the estimator of $a$'s value." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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9/E9Zff5Zmfa+P2TZtWnWco1zGvXMfqp06XLciWb33KSdOptXT1jS0xaeFbW/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\nP6MEYISrARn6TLrrnC1q8K2mM+qZ73KgyWCEA99FgPPyCO0a8A7tYsJ38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"text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('res/fig2_4.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.8 Gradient Bandit Algorithms\n", "\n", "Learning a numerical *preference* $H_t(a)$ for each action.\n", "\n", "Only the relative preference of one action over another is important, and the action probabilities are determined according to a *soft-max distribution*:\n", "\n", "\\begin{equation}\n", " \\operatorname{Pr}\\{A_t = a\\} \\doteq \\frac{e^{H_t(a)}}{\\sum_{b=1}^k e_{H_t(b)}} = \\pi_t(a)\n", "\\end{equation}\n", "\n", "update policy is based on the idea of stochastic gradient ascent:\n", "\n", "\\begin{align*}\n", " H_{t+1}(A_t) & \\doteq H_t(A_t) + \\alpha (R_t - \\bar{R}_t) (1 - \\pi_t(A_t)) & \\text{ and } \\\\\n", " H_{t+1}(a) & \\doteq H_t(a) - \\alpha (R_t - \\bar{R}_t) \\pi_t(a) & \\text{ for all $a \\neq A_t$ } \\\\\n", "\\end{align*}\n", "\n", "$\\bar{R}_t$ is the average of all the rewards up through, which serves as a baseline." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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akxgxXriJkWJGjxOinIywmww/eAavTS9aQ+74yIlW3HdYd4r41xzo29aEQV1N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\n0goY1ZRJmvq1M+HpW4LQiH7cZD6a//J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iBJSAElACSkAJeAioiNdPQt0lENII3fucVda+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\nibKx8YMEv61ruh77XGya9U88N24cXohPwOeZmZhL9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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('res/fig2_5.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.9 Associative Search (Contextual Bandits)\n", "\n", "+ nonassociative task: stationary task. 没有场景\n", "+ associative task: the goal is to learn a policy: a mapping from situations to the actions that are best in those situations. 有场景的区分\n", "+ full reinforcement learning problem: action are allowed to effec the *next situation* as well as the reward. 行为可以影响场景。\n", "\n", "\n", "Exercise 2.10:\n", "\n", "+ cannot tell which case: 0.5 (random)\n", "+ can tell: A - 2, B - 1: 0.55" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.10 Summary" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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tQ9RT6sdWmVI/mWlrre8XyrjSkTKufEcZW/qVNIcVUIV/zBlbpixU48MKGjw6\nbITHW+RGrgzcmqtFASsmuu1rPZpRvPmXc9QYU1WDH/ro0IfI/5Ofk2d3uf23EQVHGNCK0jf+2iOJ\nzNsyFkHMrxO5PX7OgBMXjXAm0lOvvBav0gODh3tyr7n1+Cz7Sn1YzmXlVqmflDJxfCPCiNk/69Ct\nqRblS5iwSFlP2GWrLLNjUOrHNp1xOPXHdlx5pQxer15CnlhJizvjj5GF0XjXe7gXNjIxm4pSH3EP\n7uIBhSE5EOH1ocWKUhVarOjKDcpA7uBK+dJ9kCfptpGxMcbcp/viMbRevvD3NAXbWOuI2DoOvi0m\n4rszj9HvOXm646Mpd42DC/1GWBlnbQTv52gE+Krn6MvLg2MEGAFG4OUh0LgrEfN9BvTvaUDMFxKa\n0MTQ46FG9BCTPKk0K2Ei7nmrqvFjZQO6HQUKdtLjx/fVKOuqwu7lBgzfRxULA92JoIsih8ZcA76l\nvOoW2hQfAYzdZNI5qFHSw4DcII0/wiv9gMJkzl42xZmLqaAVS2rRv7UWBSnjh3U4Sxoq7FIsvPmF\nfDUY2h747ledHDdfsWR29ag7I3LH22g15SomhR7G4Lp+OLNwMhrPuE4ZX+okEvS0LoSTpw/8rB74\nUtXTuiEgwDSJNNU5Emjc8yGAPilLws0wbD1yBttCppBnfw46PieCLvp1clcKAEtpER/nVASYpOfU\nK8vjYgQYAUbgJSMgyPe/4yU0Hm/Eu7RQUWIhp+bWxRpUtMSY04mu8xzwykw92q6U0M1qUmi7TirM\nH601hSlQvTzm0NyPv0v+ErgieeH/95kWtQumF3ZgmuR5kpZo3LjPKMd/ly6iRu/mDiic3zZynzgG\nO98JKKDBECLq367WUYiMhAqvZs+f+1oj12HUgcb4NKQqPjVj3nTCZqyjiaQvqxhu70dIyDDqvj7W\nLuprc2aWl2Uv95t9EeBwl+x77djybI4Ah7u83Auo9HrcVpmtlivps7VtRuop9WOrTKmfzLRV0pcR\nmVLfGWmfsq7QJzKwnLtiwB/HjLhKYS0Bvmq0o4WRCnhTKAtx+symTcxqm1OOwXKs1I+SzLp+9BMJ\nk79PQFua8FozSEPjTXqIUWqrJLPoe9ZtVutU0merzNYxKOmztS3XYwSyCoHs+WidVaNnPYwAI8AI\nMAI5EgEDZVC5eMOIsAsGnPrPCO+8ajSopEZAfi3cKZQmu4azZORiiYcPd3rz8HFvR8xcm4DYOAmN\nqmhzxdgzghPXZQTsFQEm6fZ6ZdguRoARYAQYAZsREJ5P4TG//8iIk0TKd4cZkfcVoEIJDd7qqIWv\nZ1I4i6ibW4og6nkorOidTg5YGKpDvF6FFjXIo26VQjK3YMHjZASyGwJJ31rZzXK2lxFgBBgBRoAR\nIARETvJDp/UYtzgecymrichp/k5HB4zq5oTGVTTJCHpuBSyvmxrDOjrh1CU9fv1LBzFxlgsQHxlJ\nE4gpxacotKDR2ypHLDjxyHScob8xWDu4GjrO2gOztnRbZ12/6XbDJ7M5AkzSs/kFZPMZAUaAEciN\nCIiFfQ6e0mPGTwn4aGE8ec8lvN/NEeMGOKFzIwcm5go3hZuLCiO6OOG/mxLW/qGTF11SqJaLRDFY\n6l0Y3vMOmcesx23QhOJnREB35xJ+2XAMT6f4WdvvM5rLzbIBAhzukg0uEpvICDACjAAjQF5PWo3z\nwnUDws5TSMslSc5j3qyahjKzUGYYyseY2QmguQFjRwcVpWd0xNLfdFizUyc/0Dg5Jk0mzY4YGCIj\ncO3RY8AxLwL9KHWQQomJiECUjtYx8vNJTN1J72Dg1MAR5RJXxSqPdWLpV2JGppAo4RMXNEmPyIhI\n6LTu9PBnqhxNfUbH6kifn1mfG7pvuIUueq3cwmSCaHcXUU90cPHyg6+7g9mytPs1V6AuY3CLcrgn\nwBW+AdY2J9bgnVyAAHvSc8FF5iEyAowAI5BdEUjQSbgZYcDmv3WYsDRBztBSmLKzjOnhQDnNHVGm\nqAZuNBE0txN0QSofPXqEq1evIjY21kwyla+6IOV9Wzoggd5GLP9dB4Fx9ixx2L/gLXmxoaJFi6Ko\nvxdU7SbgUCSxcSpnlw2ASt0W7w1uCndfWpDI3xeu6jex7Uoshbb8g6Yqb/TfFYmTw2tDpf0WkRTu\n0omWjJ167D61jsGqdgWhGjwBo9rlo8WOfJHfywVdvlqKJSNfRx6xwJG/P1zLj8Fxyrcv6q/rVQgO\nr8+FvBhqRBg+a+RN7fwRGBiI/Hkc8f6qIzDEhT2lX+DBseVo6pAXftQuMFDY3BbLTgibuOQ2BJik\n57YrzuNlBBgBRiAbICCI4/aDFGe+JB6LN+nkuPOxPR1pAqQj6lXUyiuBZoNhvDATt2/fjokTJ2Lh\nwoX4+OOPsWfPHuh0JrKqZIQzEfWezRzhQtsFGxIo9CX7EfWbG8eh1pC5qDFiCU5dv46w0MlA6HhU\nbzgbMqWNp5FLm/DtokDsunAZp7bMpuPFaFZsKq45l8fy8C0YFeyKgEFzsedQG8p3rqNQlRQ4LByP\ndfmn4MDRP/BpwzxYO6Y/Bs50xqKd+7F76SdA+FfotfSIDHGUJbadjvbNH4ZJu+vj+wOnceXCMcwZ\nVAXTe1TF6jtl0+83Yg8aV+6DHaqu+DX8Es7tXIQm0mb0G/6TifwrXUyW5VgEONwlx15aHhgjwAgw\nAvaPgEiVeOeBUY6TvnjdiDsPjRQeACQkqFCtrApjeznBTQ5l4XCWlFdTkPD9+/dj06ZNKFu2LCZM\nmABXV1fZk75mzRps3rxZlrds2RK+5AlOWchpjK5NtdiwV4dZ6xIwJMQRrpbQj5SV7e74IUJnLATK\nf4EN3/aHL71JUPl/hDNLb6JMv/cQenEwapptXnJ+DhoUdwSKv4ULK6+gRI8J+OXESAwPqoeK3s7Y\n8lpN1KtUQvaupxqmejT2LRgqFr1F2SnjManGexi/ZykG1vUmiT8+6PcVfjM3coYlbOghTu46Q9JO\nKF44EEX8XDBszi8oUOk3eMKAAun0e3bzDwijB4UV5xehVXGxctdAzF+6HyX6/4Wz0UNRzd3Sh7lT\n3uRoBJik5+jLy4NjBBgBRsA+EBDhGDEUZXDnPhHxSAphuWekMBYJtx6AUiVKKO6vRrnilMvcQ0PH\nKjmERathQqJ09QwGA44cOQLhPff29sbw4cPl0AtLyM8rr7yCvn37IpIyl4SHh2PWrFkoXLgwateu\njdKlS8PBwRIbDWgoFWO7eg7Y9KcOCyhF44DWWuS1WglWqX+7kEVfxs5d0Sg3s768Gq3F/12iRg0y\nbw4iHtHNBopTV49DU0HQzSUgKFjeixOx59AgXvacK79xiI8yEEeuhHzmtlrXPLRXH43LeZklnqjQ\n0C2RpJuFtPFAyxHvArsmoo7/YiC4Ab0B6o2uvbuhVgA9cVJoTFr9Pom6TU+j3VHWX9QzleJ9l0Dq\naznibW5CgEl6brraPFZGgBFgBF4AAiJ0Qiyc85jSZNwgMn7+mvhIiCMuVMBTBV/iOH602melkmr4\n5VPB2SnJSy7IvIVsvgBTs1UXer1ejjn/6aef4OLigs6dO6NEiRLQaDSpxiEw9PLyQoMGDVCrVi2Z\n1G/duhW//PILWrduLZN1oUPUE0S9TR0HbD2gx+yfEzC8s1O2mYjr7ZT0wCFA0D0RMS50P8m8m0h6\nkC/yypJn+1O6UimriaYmHY5WzMlEtlPrDmg7AfE3OuPXTVuwfcuP+N9n/eXP+L23Ma4uJfBPo0Te\nFoE6fkg2Kn0cTVIF3N2zzWuONEbH4owiYHWrZbQp12cEGAFGgBFgBEwIPIwy4sQlI47/Sx5y8pYL\n7iTingt4q1CqiBpNqqjhY7WgEOOWMQQiKDvJd999h8ePH+ONN96Qw1gEwTZlIUlfl6OjI2rWrCl/\nrl27hg0bNmDVqlWoW7cumjdvDmdnZ5mot6iphZuzCp9/H49P+5qIevqaX+JZd29UpZzmH245jKjB\nVeFuNuXMn7/TXhBKFyav93Eiw//Mx98RQ9Hcx/RW5sLRXXLN4t6iRYK8b0hB9GWh+Y8mXtnLbl0n\n9f49fNerG06GzMX0wR+gA33mUax5U99GWL//IpF0kzdfqV//gACKmz+I69FIzDpzcEoj1BhXFCee\nrCAZv11KjXfOlTBJz7nXlkfGCDACjECWIxAXL+HybSMu3jDi6m0JkdFGPKIYcidK7VeumAota1JK\nRF8HaOnXRUWpCQSlYM/4s1+GO3fu4Oeff8alS5fQu3dvvPbaa7Ra6LPlfBDXoUiRInjnnXfkuPXf\nf/9dnmQqvPGtWrWSQ2LqVtBQXLqEyT/Ek0fdgTKapPbSP/tosrJlYbSc1wYfDnkLA7/Kh/EdqkF3\n+mdUHr4W6PkDmvo54DKEx/oEWrwxEYeXvgmHf35EhX7fyXHsdQNECIyJpJ/dshrb6/uhaWBW2ecM\n5+gwfNvlfZTfPx1ti7nizPa/sINysL9bpUhiJ0r9lmrem863JpvHYvfcN/HKyfWo8dl+YNAHKM0E\nPRG73LLDJD23XGkeJyPACDACGUBATOi8HyXhLk3qFG/gRQy5CF2JjFEhML8KxfxUqF9RA093LfJQ\nDLmYcMhkPAMAp1NVeMfv3buHbdu24cyZM3j99dfRr18/2eOdFRgLHWKCaUhICJo0aYJTp05h6dKl\nyJMnD+rUqYPg4GAYJS3mbxAx6kAhX/sk6kGDF2D9lUdoP+YNyrpiBjRkCk4s6mkOUaFwF/Kqt8dX\nqBo43lQheCD++G2UHMcucqAXqVENmDIVr2/KiwePW1BojHisNFEjp8SJoKam8l+ViEt/WnFDuy8X\nomNoZ/StsSmxcsCgJfigXiE6jkuzX1VAK1zfORuFGr+NBmWmmtqGjMfBz1tb5V9PVMk7ORwBFX0Z\nWOZb5PCh8vAYAftCQLy2njZtGsaMGSP/+Ir/ilnxA/y0USr1oyRT0qNUz1aZkr6XKbPVbqV6ttqd\nmba29iHqKfWTEVk8ORQfk4c85omE/8hDfvaqhCvkJRce1QJeavKmquTYcX8f2qeYcs1znNCpZHdG\nsEhZV0mfkixlu4wcZ5U+oScqKkrO2LJz507Uq1dPjil3dzcFcyj1oyRTsl2pnrVMZIoRZH3fvn24\ndeuW7FlPcCyD34+4yKuUinvgWb+frPtRsi2jspT6YiJu4lFCAmL1rigRkJTF5sz81ii7pj2e/DEA\nj29eoemarsifbDEjU8/x0dGQHFzoezjJb5myj4zaKNeXFyS6gyc0R1WTxxeBPpagnLT7Tewn7iFu\nPngCBxd3ChNL3i6xDu/keASS7sgcP1QeICPACDACjIBAwGiUcCPCSCt3GnD8PE3opJU8nSmG3JVe\np4ssK/XKq1GspQYuTknxr1lCWhj+NBEwGo3YsWOH7D0vV64cJk2aJD+8p9kgi0+IjC8VKlRA+fLl\nIeLfRdz6uXPr4exRFuMWdcBnA/LA3xzXncVdZ1qdm48fXknLyfEgChSNhXx+AYlZWlJ26GR+CEop\nz/Sx1g0FA9zSVJNuv84e8PPzSLMtn8gdCDBJzx3XmUfJCDACuRQBsSjQpVtGXKAc5JdpG0mrI4oV\n1PPlVaHiqxpaIl4tpzzUUJizCHUW3lIm5C/uZhEe7IMHD2L9+vUICgrCZ599Rlk83J/Za50Vlouc\n6m+++Sbi4uJw4MABrPppAnoPK4zx7zdDneplX6ptGR6fl1PyTCkZVsANGIGXhwCHu7w87LnnHIGA\nHpcOHoVD+WoolO6knoc49MdVBDUKTkznxeEuL/cGUCKitspstVxJn61tM1JP9CPKY0rTdptiyG/d\nJ0/5XSOukbc84iFNFvQlD3khFQLyq+FF5NyDYsidaN5cWuELSnYryTJio611s7ofJX1KMlvtU6r3\nLPpEOsXjx4/Luc5FLHiHDh1QoECBdCeFKvWjJLPVRqW2KWXiODY2FoePnsG877fBJ68B3To2kj3u\nIh+7LSWlTlvapFdHSZ+tsvT0Wp9T0md9nvcZgReBAHvSXwTK3EeORMAYcRjj32iCSbsCsC/qHyLp\naQ/z7IKeqD6sNu4Zkkh62rX5DCOQPgIiXCWO4shjYo24/xA4c0VPH3FsiiEvQIshFiZCXjNIK8eS\nO2hNYStMPNLH9UWcFeT8Oi1hv3LlSjnXebt27VCmTJk0H5hehE3p9SEe5MQk0/p1KyOwBHn655zD\nmo17sZFWOW3YoAGqVasGDw8Pu7U/vbHxOUbA3hFgkm7vV4jts1sE1J5V8clPG7Ep//h0bdRdXIMy\nQzYDDVvya9d0keKT6SGgp2wrVyj14bF/DTh5UYKePJwu5A33yqNGmQA1+rdWy5M8Ld5xJuTpofly\nzt29exfLli3Do0eP0LNnT5QqVSpdz/nLsTLtXgMKOuLb0WUxaWkJNKsZjVsXtmPy5MkoXrw4unbt\nCk9Pz7Qb8xlGgBHIMAJM0jMMGTdgBMwI0P8eR3ePNCcjybX05/Dum8dw8MAiVB9Mq1NwYQRsQOAJ\nrdZ56aZBXqnz6l3Iucgfx5oWBqpSWo2mVdW0IqRKjiGnxSLlYiHnNqjnKi8YAUHO16xZI3vQu3fv\nLuc6V1ol9AWb9UzdebqrMHGgE75aBTSo2BlTaNXTo0eP4ssvv4S3tzcaN26MSpUqZZFnPQZrBzfC\n6te+xk/v1n9qCsKLq0ajxOJXcHHbOBSj7+f4yEg8ccgDL0oTirhTeNulIoLCIzA46GlrkFK/Qxrh\nA7yDEwt6ISKF3mcCztzIEB2JB3qtOWNLxsaXmX65bfZEgEl69rxubHW2QECPLR+8g5Jzt6AalgEn\nUxstXnsvXLiQFn7RyvmKS5YsmboSS3IsAkbyhkc/luQY8tsUR35dxJHT59FjFQILqPBqITWaV6cY\nciIZHm4qONKCQUpFeM252B8CgpyLVIonTpxAy5Yt0b9/fzl0xP4std0i8TDoTqHoI7o4YsmvCdDp\nNGhWo7qcGebixYvyeH/99Vc5fWTFihXlUBjbtaeuqbtzCb+cP4ZHRNIpiivdooummK/dsbhJYV/F\n3B9jab4iGPblNkija1E7PW7TYkKvpqsh6WT0nf9wNSoaYr3R5HqV/w8mtUx/7/TSNgh+ryPu6UfK\n48nI+NLXzGdzIgJM0nPiVeUx2QUCD//4HP0xBP+WpkVg/rhDyayB+9FxcHV3TvQIidfDIheyk5MT\nREYFLjkXAQPFkcfGA8JLfpsWBTp9xYh/KR95ArGAgt4q+fNqYTUaVdYiPx1rLC7ynAtJjhyZeGCK\niYmR843v3bsXNWvWxNixY+WMLTlpwN551RjU1gFzf9FR3nyK5qvsJL8hKFu2rLw6qhi7WNFUxKzX\nr19fDoXJ+Eqpbui+4Ra6kOfZQlYopF/uL5480vejY+Hs5Qcv83yg0oN/gm6Anpwegkjr4dTAEeUs\nc4Wcy2OdjhpbFJkvRgylm4yiDDvO7r4mj7tZ7mxeyIgykyK5XnOF9Db6OEREPqAHGAe4+fogT7I+\nyYtfTlgnSurxCakhMgLXo55Q7vY8CPRLHkIkxi9W81Uav2jLJYchQF8oXBgBRuBZEYgNk5qoGkj7\nosgnmqKEz+8i3JspPvUT69IPuTR+/HiJMifILSlPcgoNz+dQqR8lmVLvSvVslSnpe5kyW+1Wqmer\n3Za2x87ppI8WxEofL4yVPl8WJy0MjZf+/EcnRUQabFWVbj1LP9aVbJVZt7HsZ6atRcezbpX6flZd\nop2SPiVZVvRBk0IlynUujRw5Uvr+++8lyuCUGbWp2irZrSRL1ZAESvVslSnps8jiE4zShCWx0sZ9\n8ZKBnkSti/iOo3zr0qhRo6T//e9/UmRkpPVpG/ajpbU980toOEd6RLUvLO0vQf2ONGtCb6vv1frS\n0vB78vgurHybVoRrIx26e0xqAnVSHc106UHsSakjNNKXR+/J/RruHpJGNXRPqkPf1TVGLJGu6cTp\naGlFSL6kfs16D9L3/JPwxcnaJH7HN5wuCc3Xt8yWKkCVrM7HoafkPs8k+00Iot+CqGTjk6RY6e/5\nw5K1Rch46eCDBLm9Zfz/m9jHqo5p/HIF/pPjEKCsuFwYAUbgmRHQPcY9auzqkqTBGHEKq1bthB95\ndegbQ/5EHZhO7p/puCftRh2K6eSSuxAoWkCND3s4YVw/J4zt5YiBbRxQO1iLfB78FZwT7gSDwQDh\nORYe8ytXroAevtGrV69sH9piy7VxIK/u2N5OlItfwqptOog3RpYiUjS2bdsWX3zxhRwOM2XKFNy8\neVP+TrTUedo2Ktrkcxb1dPQmCsb/4d3xkVi08wgObfkfKmAv+vX6AffF+WiawEFFcq6A5eFbMCrY\nFQGD5mLPoTbIQ4Erj2Sfiaihx6+fhGDarmhM23IEly+fwa8zh+LAjAFYFC40JS8WvULqVKAy1lFm\nnrVr1yJ0yyq8ZU4H4NqwHDwo7n14i+EIC/4Au89cwsXwffgixBOT232IQ7Q+QeHmozA9xAsIfhfr\n9y5FWfrdsB7fzY3jUGvIXNDDAk7fuIGw0MlA6HhUbzjbND7z+N8Z90Bx/Mmt5qOcgAD/QuSEq8hj\neCkICDI+d9Q4hEn3sWz6MoRFiOhFCmnZ/wN69JiECxTWYCnO+fzlV5yWY97mLgQ83NUUx6uCSIWo\npjAWnuSZM66/WIhITJqcOnUqTp48iXfeeQd9+vSByHueW66xGKe4r99s44h4+gpctlkHkYnIUsR5\nMeemVq1aEJNmp0+fTqT4ss1E3RJ2YtEntktO/YiBjSqjavO3MX9iDUpxlHrBogJB9VDB2xlur9VE\nvUoloDGHr1j0+Nd8C5NCT+H95pUREFAarTq1l0+5WiqksVX7VEBHGkenTp3Q1PcJ5oio9YbT8d+n\nTaHReiFk7Dhs3TIF9UsHolhQHTQqmydR0ysBVdG2XVNaoKAUmlFKSy/CLWl8DxE6YyFQ/gts+LY/\nyvj5oXzbj3Bm6VvAP+8h9KJYN9VUvju9+qnjt9TlbfZGgEl69r5+bP1LREDtUwqD5myhH5twTH+v\nG8r5iOhFwKftZDyK3YHqVosbORTvAinMNFHoJZrMXTMCjEAWICA855cuXcK0adOwa9cutG/fHkOH\nDkXhwoUpXpoCtHNhcaHvu57NHOjhBPhhi47y+CcRdQGHiEcPDg7GsGHDQKEv8mRaCrfJIFIxRHDb\noGxg0qvLvL6FgQdKavSIlz3nJudJ8hpaVO7aHxVvrUfvdo3lByqV/+vJqzzlSLqyGbUqv0n2DMSx\n0BHIL+prC6LtgEY4P3sYmpQvL+utMeVKMk26eBoDlZRWqaMvYyd59sv1r2/SZW5VogY9hFCJeEQr\nlSEj45eb8Z9sjgCT9Gx+Adn8l4kATWYiD5EoWm3SZFAxMymPs0n+Mq3jvhkBRiDrERA5zmfMmIEl\nS5YgJCQE77//vl0vRpT1CKSt0clRhX6tTER96a86mhSdnKgLr3qxYsUwevRoeTGnv//+O21l6ZxR\nJWO4j9OpmdapaxjvUhSth3wCfdH6mLtyAw7u/ZFCZ2wMRYwOwzuB7RFGM0DXXpqFiuYQRv3ZFfAo\nUQfvTDmLKj2GYs2WnVg8ompaRijKvZ1Mzh7LSd0TEeNCzwJWY7bep3WGLVV5mwMRYCaRAy8qD4kR\nYAQYgeyOQIKkg5pIk1ZlPz9T4eHhWLFihew5F1lLhHdYEE8x94SLCQGBR58WDtiwV4eZaxPwVgdH\nuDglR6dAgQJy/P7s2bMRQdlVxMNOxjO/JNeZ1pEhBekV9XQX92MC+dlDlp7Eqr6vmZoSwQ4jz3tf\nEWSfbrmHeSENKcylNGYc3YdOAUle/TPbNlHLIGx5sAvNPU2E/8S5oiSLpUwt6SqF0d0bVVWO+HDL\nYUQNrkox9KZy5s/faScIpQuTJCx9HXw25yHwtLsx542YR8QIMAKMACNgVwjoJQMipIe4hghcMN7A\nKekWImmuBwVJIFBVEBVVRRCg9qN9XzgSkXnRRcSeU9YWHDhwAEOGDEHRokVlcv6i7cgu/Yl5F23q\nOGDHIT1mrEnA8M4O8uJb1vZ7eHjg3Xffld9IiIWeRMiQSEWb1eXsltXYXt8PTQOTNDv4FgNlf0Ho\nzu040tANLhf3YETjfnKFo3+fhj4oCHHmSaZWDmw6r8e+Sb0wbNdD2i+PfNe3Y9XZBNpPQJxjaTQt\nWZr212DTmp0o07wQTobOQuvha0hWH2dP30X1Svlp8islmf9nPhZtrY1hzYvTOUspjJbz2uDDIW9h\n4Ff5MKFjdSScWofKw9cCPX9AUz8HXLFU5W2uQYBJeq651DxQRoARYARePgLC6xxLpCZGisUt6R7+\nlv7FGeMVGMhjXpJIeEkUQB9NfSLk+amWAWekazhP5/8w/Iv7UiSC1UVRV1UG/mpf5IUrBZfRlEAR\nCP2cSlRUFH766SdER0fLoS1iUiiXpyMgJpO+Xl2EBOplj/qw9o60KFfyCFuB5dtvv40FCxZg+fLl\nNOG+B1xckjzTqXpxciORiM22LkR6KWGKXJKd1yKgRjVgylS8vikvHjxuQfeLuE+I9riXw2dTe2PH\nmJGoumKk3PSdqTNQYeunmDakFopVvU6LHlHdV73pDqOSqDcOV88dk+sDe9AzZI95nzY0efRBaHd8\n2nAGJg1pirniDMXPz5w/CcOHfIq+Vb9Da8NYFKrelE6swagWvVAh6i9RK7EEDV6A9Vceof2YN7B2\njFkcMgUnFvWEjEqiHYlNaMdq/NZi3s8RCKhEUskcMRIeBCOQzRCgHMryxLMxY8bA2dlZfmX+PMmG\nBR7xXz5lP0oyS33rrVI9W2XWeuxh31a7lerZan9m2trah6in1I+tMqV+MtNWSZ+QRRkfY790Fn8a\nT+KOFANHSl1XTOWJSuqSqKgujrwqQcCUxyKfoD+xUjwOGc/hmPEM/qXZgmpJjwrqYmisrki6CqS6\nr9PSpzQ+Sx/W21u3bmHWrFnygjzt2rVT1J9WH9Z6smpfyW4lmVJ/SvVslSnpy4hs52E9jp83YMQb\njtBqUj9QiQmkP/74Iy5T1pcPPvgAjo7pvy2x1W5RL4EWlpIcXOg7NrVPMj7iJm5T0hR3L/NCRvoY\nRFKqRHdPd8qonvp70rYx63Hv5g2a4umK/H4+Mrk20MJLUbTnSQvZiaKPi0YsLXTkbj5OqTeG7BIL\nLD3RuaBEgG/K03ycixBgkp6LLjYP1b4QYJL+cq9HRn7oUz7U2Gq5Uh+2ts1IPaV+bJUp9ZOZtkJf\ngpSAcxKFrRgv46zxJm4QRXGiJdkrql9FA3UQ/FReRNG1FHBgium2tkGpb+vzYl/UMZC+OIorFqR9\nuzEMd6UoFFF5o7SqMCqrS8ikXa1S2/wAY92HII0itEXkwhbhLSVLlkyToFvsedZ7xLrfp+0rYaMk\nU9KjVM9WmZK+jMhonTas2amjkBdQGIwyAReY7969G1u3bpXj1cVqzGkVW+1WqpeWzpTyzLRNqYuP\nGYFnRSD1o+WzauJ2jAAjwAgwArkOAaNkxF1aJuaGMQKXpdv4h8JT7ksP4KvKh8qqQLyhrQNvlQdF\nJLhBo8qa9ISCEIswFzfyVjbSVCDiXx7RlOXiDvV7kvpfathBFsUQYS+CYCLtRSmuvSAReK0N/T95\n8gShoaFyisWPP/4Y3t7e6RL0XHfBn2HAIhqpbgUNFm/UoUVNSdGbLiaONmjQAG5ubvIbxjfffBOB\ngYHP0Bs3YQRyDgJM0nPOteSRMAKMACPwXBEQ3sU4ihR/TH8FIT5kvEChJ+chEfkNQD6UoZCTrpq6\nRIrzw0WV9ZMA0xqcmlhgXqLsImSmJIqgvboWIom2n5DIk2+4ig3SYYpkjkdtdRnUoPAab6qdhwh+\nSk/+vXv38N1338HHxwfvvfeeHIaWVp8szxgCfvnU8PFUI/yCARVLKs8jEERdZM1xcHDAokWL0Lt3\n76e+xciYFVybEcheCDBJz17Xi61lBBgBRuCFIxBjfILD0nkcMJ7CBSLnLhSsUkSVhyZxvoqJDr3g\nQQT5RYR72DpwYYsX0fD6qmDUUwXJzaLo0WIvxcP/aNiFq+Rld6HZWLXVr6EReeF91Hnx33//yath\ndu3aFbVr17ar8dg6bnuuJ67J61U1WLdbhwqCpKdjbMWKFZE3b16IFI39+vVDuXLl+HqkgxefyrkI\nMEnPudeWR8YIMAKMQIYR0NNkzAsUR36KvNAXKa78ovSIQkt0KEcTNNura1MqxAJyPLlGIZ48w529\noAaCIApPextNDbRWV4eOcrDH0NuAP4zhmBC3Aie3heHWntP4+NOPUdyn7AuyKvd1Uzi/GpG0aGb0\nYwl53dKj6ZDTXH7yySf48ssv0apVK9StW/e55VLPfVeCR5xdEGCSnl2uFNvJCDACjEAWIyDiye9T\nWMgN6S4uG+8QMb+Bq9Id5Kf47QrqQLRWVUc+tRd5pSnbRTYi5enBJAi7A/3zonzrTaODcHtFGF4l\nb3uDce/juNs1TDWsE0kdEUTx7GVVAQikh5J85JUXk1C5ZA4BR1rQp1VNLTbu06Nnc7EyadpEXZwT\nk0fFvADhUX/48CFatmwph8Jkzorn1ToGYVt/x6FzNxDr5I0mXbrgNc+nrGBEpuiu/IXlh53Qu1MV\nkRySCyOQDAG+J5LBwQeMACPACOQOBMSKnisNu3FAukCZUPJRLHd+tNZUIcLqT+EsTqkIlIhHzylF\njOXOnTuYOXMmatWqhWbNmslp/8rTKpLiweUmpXc8S5lp9kmnsVy3m9DQoA6FxlSl8J68qlcomt2Z\nSfsz3AyCeNcK0uDXv/SIijEir3v6E4lFfRH2IhY9EnMFVq9eDRGOpNXaG3W5hXmNypoXOTIDM2QR\nNl7ehjYBytlsTLXisOWLzhiw5AOE6KvQXAkujEByBNg1kBwPPmIEGAFGIMcjYKAVPhfrf8cl8qAv\ncBiKMdrOaK+th/KUr9xVZcrlnJNBOHLkCCZNmiTHO7du3TpZXm7hMS9EDy1N6IHlfW0HzHIYjJHa\n9nhCE2ZnGzZihG4pNhr+klM75mSMntfYRJ70koXVOH3Z9oc+d3d3ORVmQkIC5syZA71eb6N5tPjQ\n2RM4dvAYzkdEmdvEyQtTxdms4+ldXV33rUzQO8zcTaFUlJv9wq+0ouk+tO23mJKPKhT9NSyf9B6a\nlM+DkIW3gNZO9G6HCyOQGgEm6akxYQkjwAgwAjkWAT0R9K/166FTGfGZtmuOHafSwOLj42WP7Pbt\n2zFlyhS8+iqtK5lOyIXQIc77q/Ohu7YBJmv74X8OA2kKqg6f6VfJse1K/bAsfQRa1NRg+2EDdHrb\nibqTkxP69OmDQErL+NVXX8nhL+n1Yow4jNEV8iGgTDDmr16OLr4e6LnqFCIPzoNY6bTG9EPpNc/A\nuRjsnLsYUL+DL96tL4esOBRvhekzOwG7tyKcFkdKVfRROHf0EgrU6IcOweRpV2TyqVqxIBciYG/v\njHLhJeAhMwKMACPwYhDQEbmcrt8ID5Ur+mqa2JQ3/MVY9nx7EeEt9+/fx/z582ViPmLECLzyCi2n\nnsEivOwiFKiLph4W6LdgnmELBmmak4T9oBmBUqRjFBNHz1wxILi47TREhLm0bdtWTo0p4tQHDBiA\nggULpu5afwkf+tbBNJTCigsH0KO4KzBlIN52qYiODU0Tg9vVL5W6HUniI2/hdlSC4iJYoOvsG+BH\n94B1MXv1u1el5J9JxTUfrRQqzcbR81GoUylv0gmx5/waJm1YL8v+W/AIv8xLfpqPGAELAuxJtyDB\nW0aAEWAEcjACT6Q4/M+wGa8QpRygeR3ONHEyNxSxkuXZs2flLCGNGzdGp06d4OpKpC0TxUGlxVBt\nSzyW4vGDYSdERhwutiMg3k7UeE2NAyeNtjcy1xS51MUcgoYNG8pzCm7evJkq9ChixzJ8TeFJBUZM\nwBuCoItCxPijtb2xa9c/9HqkDZqU9DLJU/w9Pbu27K0vWrSovA0kz33Sxx9/p/SMx13B5l1RqF8n\nKBl5DwiqLmuOQ/r3RgLlGeLCCKSFgO2PsGlpYDkjwAgwAoyAXSMgJonO0IciD016fNuhtV3bmtXG\n/fbbb/jrr78wcuRI+Pn5yeErWTEJVqyeOopi1b/R/0IrnG7HIHXLrDY9R+sLKq7Bhn0GRFE6xjyv\npJ3lJS0QRC57sejU559/jlGjRskpGy11b587K++WKhWYLGNKwari3l8CtG2OYE/lPl8dsAPh7RJo\ncqqUKhRKp3NAgEuKdjpTOEvU3YeW7pNtVbpkh3zACGQIAfakZwgurswIMAKMQPZCIE5KwCTdjwig\nyZBD1S2yl/GZsPbJkyeYOnUqhKf1008/hb+/fyrSlQn1clPhUR+uDaGQ4hgs12+DmJDLxTYEXGhB\n2iaV1Nj8ty6VJ9w2DZBDl8aNG4e5c+di//79T20WF3VfrvNm/xaUVFO5uLh7okCB/MifP/WnQAEv\nuKZ0bboHonFDdxzfdTpZaPndSyeogyCULpxWT8r9s5QRsEaASbo1GrzPCDACjEAOQiDGGIsv9T/R\nyqABFEddP1ekDRRe8osXL+KLL75ApUqV5AwuzxJ/butt4KJywlBNG1ymTDmbDfsp9IWJui3YiZCX\n8iXVCL9ohOEZIRM6BJl+//338ccff+D333+XCX+hiqZQkz3HzyULNjmz5WfZNCdPIs76e7ieMnSF\nzobPqwJfXy94e3vDy4vWCLD6CPmeVG3cUPRVCqkRk0QjLZNE47Br7TKaTNoApXxTsnrqhAsjYCMC\nTNJtBIqrMQKMACOQnRCIkh5jluEXlFYVQgdNHQivb04vBmJ7wqO6ZMkSdKHFZJo2bfpCFr8RaSvf\n03bCIelfbDMelnOt53Sss2J8XnnU8PFU49y1jMemW/cvJo8OGzYMR48exaZNm+BWoxvmNvQAFnbF\nd8dM3nPdlc0YMGYryjV0xux6HdG3cmEsPv3AWo28X6zjOuzduzeNzxFUTBnuQgE1tQd/TJNEN6Fu\nvxkIv3IRv301FD1X3EXIkv4opVXhyYkV8lucDgsOp+qPBYxAegjk/G/t9EbP5xgBRoARyIEIxEix\n+IZWzgxSBaIzpQ7MDUVMEF26dKm8SJGIURYe0BdZXiGiPkbbDZMpNaNWUuF1rcmb+yJtyG59qdUq\ndG2swcJQPT7po6Y48BTx3hkYkFidVFx3sUDVgwcP8GboUbh9NhS9K+fDYLOe91aG4ZvuvhivKooJ\n4ZSOM2/yPC2iWt7iFVG3OHFueiMjPPW2FPdKw3B65SWU7fEeyoe+JzcpOGI1fuhbQd53cDBN0n7F\nSWnCMmUZerG3qi1D4jp2goCKbkTL+xk7MYnNYARyBwKPHz/GtGnTMGbMGDmlWEZ+FDKDkFI/SjKl\nPpTq2SpT0vcyZbbarVTPVrsz09bWPkQ9636ipSeYoF+BxupgNFNXSxbiYl0vPf1K9ZRk6el41nPP\n0o9YPXTevHkoV64c2rRpA5FT21KU9CnJLPWfZWut76EUTXMAVqOVujIaaCokw/9ZdFu3se7HIleS\nWc5Zb5Xq2Sqz1vMs+0r9WPSIc5OXJaBHMy2K+qW/Aql1m5QE2tKHeJuyYsUKmagPGjQIzvTwFkUL\nF4lYc2eLW1IfhwexWni5WwQWzUlbi74kydP3YiKu4k6UmCnqjuLFKQUjF0YgkwhwuEsmAeTmjAAj\nwAjYCwKRxihM1q1EM1VFNFVXyVKCaC9jtLZDEKljx45B5Mx+/fXX0bFjx2QE3brui9r3ULnjI+0b\nWCcdxH7jaQ59eQrwgmzXCtJg/8lnDExPoV+j0aB79+4oVqwYZsyYgRgi6cLLnkjQRX2tc7oEPYVK\nmw/dfIoQOS/OBN1mxLji0xBgkv40hHLa+ehT+KJXb/TsNRZ/Jk5yyWmD5PEwArkPgXtSFKYZ1qKR\nujwaaypDQ/9yctHpdBDpFUNDQ9G/f3/UqlXL5vCE542LtzoPxlPoy2LDHhw2nnvm7CXP20570V+T\nSPqpyxIeRmcuNt0yHgcHB7Ru3Vq+J8TqpPfu3eNrYAGHt9kKgbTf9WSrYbCxtiJwc9cP+HjFcrm6\n1KIf6nQvaWtTrscIMAJ2ikAkhVhM0f+IFppKaKKpKlspvMw5tYj0igsWLIDwmn744YdwcUkdW/yy\nx+6r8sBkh64Yq1slr0haQUOBzlwUEXBxokwvJVQ4eMqIZjWyxnco7o0GDRogT548cqYfscpskSLW\na4IqmsJCRsCuEMia/w12NSQ2Jm0EHmLrd0sST69avBmmee+JIt5hBBiBbIaA8KB/ov8BHTW1KA69\nSjazPuPmXrhwAZMnT5bjz99++227JOiWUfmpvDGZPOpTDZtwynCFvbkWYBS2NcpqcOC0IcsxEmk4\nhw4dKodE/fMPrTbKhRHIRggwSc9GFyuzpkpX/sKA0PuoMnEJFo8gb9uu97D1Qg9gAgAAQABJREFU\nSoJJrf4Wlk96D+9OWoM71h3pL2HxR0Mxbtkec7172DxrFJqUL4+gRo0wYNJ8hEUkLammu7gdI0bO\nozRUxzG9V1MEDv7OtMBD3C1sXvAJ2jeqgPLUtkG7QZi78ShirfoyRpzCnJF90Ij0th48Eb8d3IfV\ns77G4j8uJdZKuHIY3wzuYNbRE1+s2skPGono8E5uQ+CW8T7G6Vagj6YRaqhfs5twj+dxHUT2lt27\nd+P7779Ht27d0KRJE4gl4u29+BNRnyqyvhg24F/jNXs396XZ5++rhoebCqcvZU1sumUgIub91Vdf\nlVM0rlmzBgcPHoS4l7gwAtkCAXolyiWXIBA+s4t4/y19e+axFL1zirzfcOYh8+ijpZUh+WTZkguP\nExGJOjpHlpWfukuSdP9JU4Ld5GM07CEN7tnYtI/60tYbCXKbJ+GLzTKYtiGLpUdStLS2Z35zu4HS\n2LGDpQpQycc9Vp409XX3L6kjNLKsfkgPiX5+TfXJ3tfMNj4+szpR1nrQIKlDsKPpuOdi6V6ixdln\nJyYmRho/frwUGxsrG00/HC/EeKV+lGRKxijVs1WmpO9lymy1W6merXZnpu3T+rhujJCGxc+T/taf\nlAxGQ6rqSn0ryVI1JIFSPSWZUtvMypT6oUxI0qpVqyRaAl66e/duhrpQ0qcky5DSFJWfpk+cP2u4\nKvWJ/5903nA9RWvbD5X6UZIpaVSqZ6tMSV9GZEr9KLU/c0kvfb0qTjIY0v8uVNJniywiIkKi8CiJ\nFj6S9Hq9kgmJMiV9iSd5hxF4QQiIV0tccgUCV6VxcJKgHi1dFOONOmwixZZjEj0wE/f68y3EXSft\nGFtdJsJrL8dLZ5b2l/cHrwxLROz6li9kmcvEXbIskaQHvyv9cfmRqV5smIl0D1otPbG0pP4FETcR\ncJ20b2wNs+5T5hqR0poR1WSZ6UEiQvo22J0S17aR1l4w6yXyv2HE63KdGeEPLZqzzZZJ+su9VEo/\nwrbKbLVcSZ+tbdOrd8NwT+pPhO+A/rRcTakfW2VK/WSmrZK+jMhS9k2T/uSH2WXLlik+PDxNd0p9\nor6S7Gl60jtvq75ww39Sz4SZ0jVDRHrq0jyn1I+STEmBUj1bZUr6MiJT6kep/ZM4o/TBnDgp+vHz\nIemiT/HAN3HiRGn16tXp3ge22qw0DpYxAlmFgP2/K8wW7yPs38jYY79iAuLhNaYJCoqFkt1LoEOI\nJ2D8CpuOPZIH4FmrDfrS6ml75u0whbzE/YsVU44CDeegYUA89v+wnuoFoWmlfLh38yauXLkJp+Am\ncpvYXceThZ2Mn/0ZtaGll0VxLo/1d6/h0rhGiKc8sv+eOIY9m3aD5tvDlEn2IU4cOEv9TMfk7mVN\nbeCBzh98DvK4m46jL+PP8CdAg4ao4hWPW1eu4AaF2VRo1kA+H7rrnLkdb7I/AnHAO3WAxeHZeyhR\nj6A6RisM/rQSmPMtLRu+E4izDvB6tuGRBx2jDMvxrqY5qqlLP5uSbNCKfuQQFhaGKVOmyJk6evXq\nle3DecqpAjFa3QYf6pfjjvFhNrgKL9ZEZ1rzp1FlNbbsTwqhzGoLXF1dMXr0aDx8+FCOUyePelZ3\nwfoYgSxDgEl6lkFpz4r02L18mWzggymvw1XlQD92nugRek+WTVr3p8l459fQfyLFqv/zEfbeNMLw\nzzYsI0L/5ogW8Cay7JRHQ/VOoFOZQvDx90dgoD9tq8l1kGJ1ZY9XrBMHxeDYL9NR1N8Xnr4BKB1M\ni3z0+ABhRNI9xJoj0dexc1c0kMcJDiZLTH+9/Iika3CXjmLP/4OfQbGKFEdf1MsXfoGBKOTrhcAW\nH8l1RR0uOQUB+tH87wYQ//x+qJ8LUo9jyO4LJjK+aC7w3QLgxnV6rg0G2nWi+zwKEPLDB4AE81yQ\nDBpy0XgLYymLy0eaEASri2d70pre8CkMDOvXr8fw4cMhJv9lh/jz9MYjzon46NfUgRilaUMLTq2E\nmFPAJQkBgU/DilocPUcLEMU8v7hxsdhVnz594OPjg1mzZiEqiv5vcmEE7BABayZlh+axSVmCQHQY\nlswgj3hwd3w7silc4uNltc40pXPTkLH4+ctVOP5ZS1R0VqFmu2HAZ/sRuvsgvC6uoV+VNhjYMJDq\nP0acHGZeHz+HL0Z5Vz0oTTFEPlr9k0cweJcgIk9kmj6ixAlvvbnEHluO+kO+AULGYP37nVGuSGEU\ncL2Cvr418UCYQjoKQOF5MfYRrsMoe9u1ed1N2kLm4MLMZtDFCgLnQE11ePJIB89XX5ZHUY9LB4/C\noXw1FCL8UpcYHN64CcduGRHcpAVqFs8G6z/TanyIpCvpTpgnWwFEjE5cV/EoRXUiqI4PvY2RC8kj\nImmPvlISZeZTlk1khKk5rfyXWi9VEufhDHgme1SztLa/rSDaTx4DN+mB4uhB4A49KvrSu6FChYHm\nrSAV9AflCEwi0n6FgNu3iMT/Aez/E2gZAikgECq6/59WhFf5onQTn+vX4wNta7ymonZEaHJycXZ2\nllfjFZ7PnFTUdN3K0wNWd9TDDMMveF/VGSJdIxcTAk6OKgQWUOHsVSOqlVX4XcgioMT91aVLF/lB\nkOY7YMiQIVmkmdUwAlmIQFbFzbAe+0XgRuhoOW67jWWSppWp+yc2l8+N3XnNLL2ZNDmUJm0WGPGr\npJPPWCaWBkmhN6wmqVFsOYXIUL1f5HqWmPQvjyZN5UyasBqf2HPCmV/kfuvPP04ys26KN9/xICkW\ncf/UznIdOSY99qTcD4XEJJskesccRz/j6IuPSTfcPSR92jAP2Rgk7YtKsjtxkPK4Kkv9ps6Tpg2q\nQvXqS/usxmeXMenHVktSqcJJn28mm/aPiXkA0ZL0RlFJ+uBr01bUI5F0409Jqh2Q1KZUM0k6YLmf\nBBoUf/tZF6vz1G72TnHCVKL/TdIndPYfZqo7+4gkfT/QtH8hcTaDJF34yST7/h+LhmfaKsWcPlVm\noMlmVy9L0ppVkjR9qiTNJCxWryCbzklGhYloSvpkY2/Q5MH5swiH6ZJ0/aoIkk53DOf016Ue8TOk\nkwbqW6Eo9WOrTEGdYqyukj6ltpmVZXU/SvqUZJmx+1n1/aE/Ko2Kny9FGWNs6l6pHyWZkjKlerbK\nlPRlRKbUT3rtz1/TS1/8kPYEUiV9tsqU+lWajKykT6ktyxiB54kATxx9nujahe5IaW5DD5lIbrib\nmghYSDV6/pA4qfPMfNMEUXoWlKzJ75Oj5swtRKZ/2HlEOrZ3nTQs2EUm0h/uvS2P1qLPmqRHHZgu\n1ynec4q0/ehRadvSz+VjoR8h46VdF+5LlgcJqLpLi7fskFZP7JNYx5KBZu/EmmY930q7w8Ol3RY9\n1OagIkl+zheAnl7i7+6WKqgaKJL0hAvbpEWJDz9XpbfgIFlPcH1hJP3E75L0dmdJatmJCPD7knSU\nCGKKIv8g0VhMBL2PJB0LJ/L5hfmYiPOx+9TCTNIFka5Ddb7fIkmxRLDFsSDmvx+QpIObzMfVJemu\nyPhDIH1WxySbHUpk9gSR/Jam49Xnk+tcRPoS25PORUTSL6w31RX7ljK7K8lI/01TRiGLOKNbpR/h\nlDKjIOWCUO8kDL9bKEnTppBdcyXpJD0gxERLRh2NLx2CnVKftY0yqb9CpHvWNMJysYmsW1egfdH+\nrP6q1CX+GzkrSFr6lOS2ylJ0KR9mpq2SvozIlPrOSPuUdZX0KclStsvI8bPqM9D13aU/Lr0TP0eK\nMcY+tUulfpRkSoqU6tkqU9KXEZlSP+m1F/W/XhknnaZsL0pFSZ+tMiV9SjIlfUr1WMYIPE8EmKQ/\nT3TtQTcRLzmdIZFw4QtNVSitopz1hYh3ItG9sc3UJnicKROMVaPLW6YlkmeZZBPRfm/l4cQaFpI+\nw8qTLumuSkt6Ck+yHC8jb/vOXCHNkb3LJJv4l9z+fOi0xNSMwjv94dSP5GMLSRce2fVjOybTI0h9\nUraXRDNe3I7IXJMGSbc2Iko84JRP/hbghZD0Y0T+BIletFfmy1Lsf5K0kMiyKNFRSZ8nRHgtXuuz\nVl7rX0ab2icj6SOJnJtUSJbzJ6za3NxmarP6NOmnNyWi/y/2mBuITaTJ895qvjIJtzwsCE+68MLX\nDqCHAvJay+WmSV9XapvJovQjLBPn+9TnCcpgFPqzyVM+b6Yk7d4pSZcIO4EZEQhbi1IfKdsaE+Il\nKeyYyav+M73JuHNbJueibbj+InnQZ0oXDTdlWcq2lmOlfmyVWXRYbzPT1lrPs+wr9f0seixtlPQp\nySz1n2WbGX16o17aqj8kfRS/RHpooAfhdIpSP0oyJRVK9WyVKenLiEypn6e1/ytcJy3aSP83FIqS\nPltlCuoURUr6FCuykBF4jghwTDoxxxxdfOpju5TO4hDaohgvxWG8NQh+TdNsE9D8fUixA3Dlxn0K\nP3aBe34/eFEYsaW4BA2gB78BlkPTVlsY/ZcfRoepV3BfhDr7+sHXXcThdkS3z2Oh8XTHuYO7cDt/\nS+yR3odrHMU7U7yghmLivxwjYWr1YmZ9+dDui3WIHnkVd6J0tNKgF3z9PEUUtB0XPfbPGo5aw2nC\nIMX377o4AJ2Km7PekNV37tzBunXr5Nj+6tWrI5AmxGZpObqD1JWl+QA1KB6cJufS9ZYGUjxzzBGg\nSoekrgb9RBN3aeIj3gRKWS2x7l8gqY5lr0QpOXRcPrx/1SQd2p7aixhpN+AixWeLcoOyBl0+bdr/\nfjTwpyV+nUT3aFKYiiYkRNF9JEqNV01b8denMlBcTFIWJR9lemkLjJsNXP0A0O0ziXs0M20z+ZeY\nL1QJZIeY1Hn6FFQnwwAD2SbiyYsVB+o2gOTh+Vzjv1UOlNKifEXCvQzFth8Cvl8CVcVK+KdWYUzX\n/oGJ2s4oqirwXG3IJIzcPBMIaFQaNKWVYh9IMZhp2Ij3VO3hprL6P5gJ3dm5abliGmz8y4AncRJc\nFef7ZOfRse2MgG0I2De/sW0MXOtFI+DsgYDiGZ/o5OEXQIkVrYszPH1MDP/I6t5oPOM6Bq88jK+6\nUE4XWh11dIe+cmWfvMl/sNx8isDNx1qPPe9rUfPdOTB0exMTmtRB55//hTSaMuiYi8gy4OfnB0dH\nRzyfCXI0sRFElOsS4RTlo1+BXkFEsvMT+SXiTP1DTCQuT2T8rKlKsr+uVk9gyU5YDl4x7bQkwu9j\nmcjYGiDeieolaWLlKdP5Ck2AJgGWRnS+G1CAiKnD4SRZWnuNOhJJ30CTLU+QrdupFj101LbSlVa7\n9OREzFXhRMjDjhFBp4cXJ3poLPUa8EZPei7wTd6SJm2+kEIPpqhdjx5YauPUzvlYtG8+viSCXrAB\n2aO2YPtCLOFOXjACYjJpN21DLNNvx5f6nzFe2xVaVe7+ec7zCiUyeE2F7Yd1aFtHZCTj/wMv+Lbk\n7uwAgdz9LWAHF4BNMCHQ8IMV6DijMRb0qEqfJFR6Lj2OfqWzf3YHtU8FDBzZGhOv6ZIGR3seHh6o\nVasWvThwFqFnyc5l+kBk55lGRHQC5bd/g7zTliL6obcbeOtti0TuWyWT9L8oywqd9zT/IB47k1gn\n3Z0e5IEvYm4TR8S879dApTaU6aSEqVmTLsBASkUoFz0wZQSR40KAn1l0/i5QzvyGITKcvPFWb3+E\nZ70CfVWNG0SVbwJNv0myz9z8qRvhLb94AThHg7x1w+Q5L01kn7KwIJ8PJEcnmQSIK/AyqYC4B47g\nAmY2MOAr3f9QcO8/wDdfAvUaEJ70cEcPc1xyLgK9NI2x0rgLn1KazcnaHvRs9vyym2QHFOsGazDt\nRx1a1KBbn56juTACuQ2B3P0NkNuuth2PV+VXH+t09/DvgT8QGhqK33buxbm7j7C8bwU7tppM0z2m\nRZkAVytnvzHiFFat2okHelqk6cRFc1pKPXlH9+DDBmaP9osYlSWU5LVXzb1ROMuUt6H6l0I7lErD\n9iQ9DbQdBRwnr/UPo4EvNijVTJJ17G/a7zEMOHkF+Hc3RTGRJz2MyHAed1PoiiDY00i2nkJVLp4k\nG3pSSMdGIscFiZi3MLUfS7Jt1OdF8qz3tHpKk8+6Af170x4RdFF61Tdt0/sr0iNep1Ccg38Bq74H\nZhGxDz9ODw1FKPSnI6QRoyG1pvGKY2cXqNT0VfiSPXVGyYj9xjOYY9iOadpeKOhaCJJ4iOg3ELhG\nY1kyXx6DJHKfcsmRCGiIlHdV10OgyhvfGkIRb3y2fPo5BZy8bmp4uKtwhVLYcmEEciMC9OvJhRGw\nEwS0HihZvSFK2ok5TzNDkPH5n4xDmHQfy6Yvg7pfT1TwccD9/T+gR4+DOFhlFKoHkzc5uC0G1SiA\nwp23YlJdCjN5USWwiqmnTuWIEPtTHPgNIsu/QyqVR9lbXJy83T+QL7n3B0C3tdSWPM2CYIfpKSzF\n6quiqFfSCDxrEQn+CuhOhL7TZrOc3OOL15Fn3YGO6bN4K3nRmwNjrcj3oIXk3S9jqr/rR1ptlsJf\n3iVCKkrxxvRnJ4WgyEemP/XEA8R39KE6lXytTph3xdsBkbP87l0TGT/3r3hNAfgXAipXoweHYqbQ\nHnN14S3P8jcXqa2yWSJs+dt4GssM+yjEpTsKqD2T2vrQPdOpK3DlMrDnD6j27aEHjQ6Uh90PKo3V\ndUlqwXvZGAFHWmzuTVpN9kv9Onxv2Il+qqZwyKWhLxqNCh3qafHzHj1GdVPTsgPify4XRiD3IKCi\nHwf6dePCCDACGUdAD7GitFarpW0c7TibJ7HqEUWHeeSFgPSIi9ZD6245l9TL48ePMW3aNHnBFku4\ny3OJu4yhRYZiyVBPH7LRRE5T9iO+BlTn/iYiSBUaVScjTePBSSLGndYAR7bKc0Lleik8zrLMQAT5\n5n3i5K7kPafwEQ3pS1EPt8gbrCP9XkTy3VLGulN/V++Y2hckO1MWy0TXd8iWt2okOyvpEqDatZ0e\nJshT7kuEVkzCLBuUjJQna2A+SHMsKexWqqekT0lma9tdhjCsNh7AJIpFTndhG/F1ffUKEPqz6fVN\n247ymJX6sVVmq91K+pTaZlaW1f0o6VOSZcburNYnbBFvVqbo18Jb5YYhWtMDrFI/SjKlsSjVs1Wm\npC8jMqV+MtJ+/JI4DGjtiML56Y0XFSV9tsps7VdJn61tuR4jkFUIsBsmq5BkPbkQAS0RdNOwtUTQ\nk4qWCLrlSAtn95f838yNvLIUMfLU8iScvNlTyMP9JfB2U+BSKHnVx1OzXknZXNJSoqUOilh1ovTo\nX5BCS9IsBFiRgNRn9beArUeAvfPpHHnou4gHCFORyfnBv6E6eIDCZsqR7ZR5yMk59cOBpYEdbgUR\n2238Bz8bD2EKedC9VOa4/LRsFQ8QAYGQhg2H6r+L9BbjByB/fqiaNKeHI4U3DGnpYbndIyDi0d/X\ntscs/UbM12/GYE1Lu7f5eRlY8zUNDpzSE0l3fF5dsF5GwC4RMD2W2qVpbBQjkBwB3dn16FA+BEvP\nPkp+go+yBoGKFHLSh8j5Tx9SNhiarCnCXnyIoO//XPbAZ00nGdSivwuMegvYSPHqH80he/7P3nnA\nR1Vsf/x3dzchlCSEXqXKCwKhKk2kCipCaOpTih1UFMtTefBXQSyoj4dYUEBAlCI8ihQpKh2k1wQM\nJUACJJRAQnrb3fmfeze72U1ukk2yu9ndnOFD9t65M+ec+c6Wc+fOnJGgzMn++xSkOd8AcXE0h/0Z\noD+NNMpzy/OMghdTm0uLGyg06jbDUawzHMLHWjscdCvrJPnusMU/gJdeA+4ONs2730g3VfG3rErx\noacT8JN88QqNol8Xd7DGsBd6GDy9SSWyv2trLU5GCqSkGUtUnysxAU8lUMZDfJ6Kje0uCwL67Hj8\nGrYendNo6gYnJxCgOdyTFlBoRpoek5xOU1NIxV00el2Wya8tTWM5TTHeK0JUlCDFXIG0aYNpkefQ\nx2hwneacy4s+PSzJI+h/Go5guzGMwu09hSCNf8laIIdt7ERz7lu2Ag7spcWlNNe/SzfTPHz5mgfd\ntJQMgPfXkmOmT9Y9jknZP6ISOe0DNPeWu6gvAbSAtGUjCYcjDOjd0fM+797/LuUWOosAv9udRZbl\nOpyAvAyRkwsIyNNjaFFimTvo5qb6yQ5sOqRF5ICuXgH0ooWlL7xsiszigQ663KzfDPtp466/8X8+\npXDQzXzoVVSitQB9ByhTfnCbRtNnf0nTgGiNgaF8jrxaofGKQ3kx6Uc+Y7DLGI7f6clLeUxdW+uw\n7xS/n8tj35fnNrOTXk57P/vCn3jjze8RFn0cM0c/iMbjFiIph8X57T/j5SF90adPHwwePQnLD0Yp\nV7Kjd+K9cePw3y3nLdTCls3AW+MmYcOFtJy8DGz9+m28M3eXJfSgLO9tkte2bVu07hOKiV+vxKXk\nnEnLGZcw+83JWBMeid1z30Z7KQRzw03TWa7uWZ5jRyie/2gJDsbcsejlg3JC4A6N6q9dRU7nV8pG\nP+Ll12l6B03z8NCkpykua/V7cExE0ujoEwiUKju2JbQ5laAQkxg7nuLBx1LoyRnAsSMQ7Kw7lnMZ\nSKsk+eHf2iewj27uZEddXthYnlKjOhI9NJNwMYYd9fLU7+W+rfRB51QOCaSFzZe/4XP/h84XicTh\n6FeP5eaF9BLtICnnY1eeEyJ+p+l81M8iTWEWKz6TKirXQ388ZaKYfkIMB4X2GLtcZFPOzc0f5Mjr\nKV6fNEk83buy6TxHn0g6Lp6BLqeMyZ7Pjt4SVy31IHqGhua7blLm2X9TUlLE1KlTRXp6utIQo9Ho\nkgap6VHLUzNGrZy9eWryCswjNmLHn0LM/FyIXduESE4usGhJL9hrt1o5e3Va180yZovV2bvElMxF\nIsVo+gTZK6eoctZ6zGWNer0QMVeEWLxQiB9mC3Hmb2HMyjJfLvRVVV4Zvj8LNbaIi65oi5qOIswq\n0WVZz03DHfFW1hyxX39aGIwGYa9utXL25pXIWKtKanqsLtt9GH4hW8xakSH0hvzflWo61PLsVVaa\nuvbq4HJMoCgCPJJe3m/TQiZge1QixNrn4R+7ER1fX0kL8WbjSraAOLkDx2/uBTnRmPfENzjnH4LX\nQil83tLduKAnvznuHLaKTIXgum3HlJHz9L+PYDUtbpr0RHeqpceR3ymEnzQIe5J2YNann2LR9ltY\nOYrC5K1fhzB5NN0nN+7ttM2nkSay8XbIbUx/eLpSb31kInauXQtx8xDGyzG3OXk3AXkTovATwJyv\ngSR6tvPcWNptsw9Fp6ni0e2WF4muoRjop8VlvOPzOCrTPGOnJ3kqkDxnf+QzJoa7Kcb6oh8olvx1\nkGfndPWswDkEamoC8R6tY1ho2Irjxkga2ZDHMMpHalZPi2u3BdLSy0+by0fPcisLIsBOekFkykn+\n1G8/QO9GprBvF/9Yo7R65MP3oXJCLKKjoxGna4whb5BTLaJwJbkqeg4JpeP5OBQjkHFmP7bCiJAQ\nWn9Mjnsk1Y4+/Af97Ym+7evTqw79p4cj5uoCtNLfwsUz4Ti0fSN2hJkm1piDaSXLPzJj12DSQ/eg\nItXJitiD2bRqsfes9zGoWU5Iupr3YvLKNxT7+I8XEpAf3V+kd9DsWcr0DDw3jnY+HQYEVvX4xtJI\nCf6g6QnR4jqF1HvMNQ66NTV58WgLigDzPM3j70nz+Rf/CGnpIiAh3roUH3sQgSDJn2Lqj8H3ht8V\nR92DTC+VqX4VaE30PzTYF85TXkoFkit7DAGO7uIxXeUcQ6tWzn0LZJsGxbF05L1Ymk9dDI5cSkKf\nHo/SlYU4cPIM2kXtoY1jPsVP3wSg/QOvIvzC/wGbt9PukR+iXZBphDzx79/x2rNjsCaMRkitU+4A\nupLbs0MTcs9tU2jvFjYZtVqH2JzziRcQMG/Os+13IJPegE+OgqANiSSN1gsaZ2rCDQqf9yNtVDTf\nZyxF5yAvo6wSjayLu+kzNeFtSBGngB9pIW6jJsCwxzkKTFn1SSn01tZUpchA/8T7+v/hdWjRVtPU\no0KQlqTpcojVR7v7YOqCTHSnwaEqlfL8kJREKNdhAm5MgEfS3bhzXGFaBk1JMafsnIMhP+5DVFQk\nIiIiEBEZiQsRYTgSdgn/6hAIqVknTKH92rduXIlf1pKTPrwr2t3bGf2gwfpli7FmXQJCx3RDdVmW\n/hz+1XEUOehd8cnSrRTnNgq305Owe9pDZpWW11uZZu2WLOw4ejX3hI7SE+NszvnEcwnIo8uIu2GK\n1rKJ4nvf1xXixVeAOrTVvRc56Aaa+vWtYSP+rXsUAY5eJFrC7pd8aNpYSHtg3KumaUTLF0PIW+dy\n8jgCDTQ1aerLUMww/IZIEVMuFpNWrCChcR0Nzlzm0XSPe8OywcUmwE56sZF5b4U6jRoojavsG4BG\njZohODgYwc0aIXzuC+jU9v8QniHPA2yIvtN649K8qZixIxmTurekTWSaY1hoEFZ88IEyH/2xHjkj\n4OlpkKeyVJj2KSY/1RchJKua3x1s+2AHyfGHKGCKua6SKWb0uv3HLBFngBSs//Yz74VfXlomO+cp\nKZB2/Aksmk9zpuvTvPOXaMfQECgb9HgZh2hxkzaiSUYHzd3u17LKVSDknUpvxUG6ctn97GOL7CLQ\nVKqLaRRH/T39SlwU18qFo969rQZ/hRlBy0ftYsSFmICnEmAn3VN7zgl21+w3Eu/Al6a7tMb4uZsQ\nHn4IC958BENmUVze10cg2M/0aLFdrwdztPfEA23krcir4v4+NNdVTpp30bUZxWyWE43Y+UNC5pTP\nMHvLAZqPvhrvtA3Gh6BpDSIcB0/GmMrl+evT7BEsGUVy543BAAoTeSD8GJZMHo5RS27mKcmnHkVA\nXqy4m27QvqdwinQDh7cmAt16ABQ20BuT/LRguWE3ntFSG900SVqaVjRkBLCB1qPI0404OZRAeMzL\nNLXoZ9Ngg+E0nggLwbfygmgHJL3+Dm5mJSuSmmrq4kPdcEwhR/2K0fu/J1s30SI5TeDydV4A7YC3\nEotwYwLspLtx57jCND9rJboW+DxmO14JqYjvXhpIC0I744VZf6LR2O9w4T9DaVGnKfm3ewAUZpHm\nng9Ae9qmXU7N7++vvLaf+jCaKkf0x68V3l06iRzyDXj14a7o3HcEZoS8i5++eosuhuP1bouRQDPR\nZUe+ho2fVgUjf9iDmRRJ5sCsV9A1pCNGT7+GsWPlG4E2aBBotsSsiF/dmYAyleLkMeDLz4HEO8o0\nC/EILUDW5l2F4M6tKL5tp8Qlen+no5vmnuJXdmWNBneZosAcOeBKreVDl5Gm6BnMTrmeFtfTgnsH\ntTws9gnUPvMTbufI+4fUEB9oh2GeYQtShaO0OMhYB4uR10L3aq/F9qM85cXBaFmcmxGQ5BiNbmYT\nm1PmBPS4RpFd0vQ6BFSrhppBJdyyPKcdhoRriAfdDtC015o1g5Tc5IQ46HX+CPK3uU3I03I9bpEd\niWRHUH15qkyeyx5+mpqaihkzZmDixInwoy3c5Y+ivDDK2UlNj1qemh1q5QrMk79aLpw3jZ7L86D7\nDYBQ5py7x9hAgXbn6QO1cmpsrPPkOh/rV6C3pjXu17a2vuSUYzUb7c1TDLpFo69LfqIIMC/RTDSa\niqbyXlTLc0ZjHK1HTZ45Tx6NjjcK+PsGWQYhLG0S9IUl0Y2kgUas9VrUqmD6HpTrXNenw1eqgmqU\nJ99qmuXJdTPoehLJrEYyI2OeRsuE+5HY+kUEyBflX1ubj7ge8Zl36KtRC/8KeW0g/Yp0KkMj5nqj\nAVUqVKfFxyYBxy6PQMekXrjWajzq5OQZhRFrDX/hKt0evqp9FBop97NmbaNsipzszTOVLvlfNT0l\nl2ayO4FC+P5nWRamPlcBFXwlh7fF0TaXpr1ct/wS8O6hrPLbr6VsuQ51aU66o5I2qC5q5hHmH5Q3\nJ08B5VSHGmRHDbVLnOe2BOQY3JIc3m/DWppCkW4K+yeHAKToIjb+idu2oHSGyT/uF4yxNMKZgk4a\n2whFpZPsxNo1aHpZ+w7A1t+BoTT9xetTBnZdmYxeCbQ2QkltMML3BlaJJ5HYkhxqw0l0PD0K6ZWH\n4WrqGlpb8wxuhTyPPy+9hieTj+fS0fTGpqZf4KGK8ggCybw8Cb3umGU2RQdcoidG95vK03SXjqf/\niSGNduH9wGowZOzD2MiXsNASs74pvm04B+OD6lH5FPwQ0QNjpcF4TqzFwuycEWOfZ3Eh+F9Ivfo0\nOt45Q+XOoG74Kuy+Zwd66GhHTnLKH9Lei7ezF+Ci5hqagRZi57npNBnj+X+D/CW0aSrPTdejd0d2\nZTy/R7kFagRyb7PVrnIeE2ACTKA4BFJpUeiaFcCCOUCn+yhiC21PH0zTPeSNdcpJkjeXmU8bzTyj\n7UlxkOgJgqeke7sAZyNMU5I8xeYS2nnh+kcmB73SuzjYdAnmVbqFVVm2c7nlYYSI1NVI9nsK39Wi\ndQWJKxQHvVnANJxrvgmH674Ff+NOPBK7W4mRdVmWKTvovi9jb+PFWEThbY/JQ+eWt74e9FzJlMQ5\nPHVOdtAb4791F+JQw8/xOKLw6pWnsNY60lXWaiyUxmBLo8X4xZ8i8mT/iJ5Xw9G4+mv40IccU80j\n+F/9mbhHm3v7W0nyw2RaSPqhgWwHrf3w0iTffAzorMPWo0Zkyw8dODEBLyRg+frwwrZxk5gAE3AV\nAXkh6JbfaFHo1wDNcRavv22K2FKOnHMz6lhxGwlSGoKlRuYsz3itWIlCqv4T+OVnmprmzV7PHayJ\n30QO7rO43HwM7qvSDi82X4mv5SlZVusQlYCvlf+L7BaT8HKd+6DRNsQrlSfir8bDcHelu9Cp5mC8\nLy+8zYykhaG3sOgWvf81I3E5eDy6B7TH081+xrw8Ms1vhAs3FuF/pOw/jVfgrZr34d6ggVjRYiZd\nvoUfbl8wF6PXYcrI+YDA9vjnXW/TyLyEq7Qrs3+lTng8oC1dvxsDq7VH9VwfXakrh2YcIAXTLrd7\nlWkgVgK96jCwigR/WqIUE2fVcV7VQm5MeSfATnp5fwdw+5lAaQikp0M6fACYO9u0IY4c67xzNxpN\ntFkJXBoNHlU3m+Yxf6/fiPHah+An+XqU7TQvAqKZPM2N1kbIu796a9JHY4XBQAvQ+1NAWXOqil5V\nQkxzxs1Z9PpGUHvLJmtBVfrj1cAK+PjcSEin2kAK64V3DXQzo/GFjz4G62jaSsOAAVYyq6CLikxZ\n/J3sq4qWdy4/AZ/TodCdfgoB595U8jZlJSqvmTSvHZW6g5b1mpK2EZ6w2kMg25iq5Gebr+d5Hap9\nAOHGq/T/Yp4r3nOqoycIj3TT4rd9BlhmDXlP87glTMDy/cMomAATYAJ2E5AjtkiXo4H1q4HadYGR\no2lVcJ3c+vKi0XKYLlGc6kQKMRqiaeKRrZfkJx+PDgV+XUm7kTamCE3eHEmpIPfW1HXy1JQhWnmu\nuSkdiHoCXZPOUmjZPjSn/D10r1wNK6/+CwvMBej1itVxYYe+qKxcblF5MF6mueSm9DACCX+dQKt1\nDL41rX6kdXTjV5hU22uVadrL0zTlar5xK2ZqGtPSVO8ck2vTTItVOwy4EW9EvZr0ZIMTE/AiArza\nwos6k5vCBFxCIOYKpPW/kipyxJ8aA1GzttcuTisOTzmyxi/6XRit61mcau5XVg7JWJ/GmA/tBx7o\n4372ldYiXS30p5uRz1JOUYDMDjlRXa7gl8QT9DTo/jzSzdN+7uBI6gVaBPq6aWGpUuoWDsaS12yk\nT4I2AO1pKsqx5P009aWDKZILLf48nhquIjNXxf/Vfh5jzFvb08LSCee+Qoj/wNwCpTxqo2mGDuIS\nvS+3YqTuQbKwGF5+KXW7qrqGngB1+ocGh88YEMpOuquwsx4XEfDOW2sXwWM1TKC8EZD+2AyspoWh\nAx6BGEvbypODzslEIIymFWRIBtwrWY2EeiqcXn2Bo4eBJNPUC09thrrddTFcns+d/QVCLi3HiZTD\n+M+ZwZhOIQ4LHmzWoYKGHFzDdqxPOIuolH348Ew/TJHriCu4bGiMl4Pa0fXv0fHSGpzLuIyNl1/B\n01lZqjLb1B6t7A/x9MUJWJcUTfJ24fUzT+Gb7HPwp9C09qQsQWsIjEvxTVw43WyoJ3lx5QjN/dgm\nzuMy7X7rralHOy0OR1AM+szy+QTPW/uV26X69cFYmIDzCJzf8l88KGnRaNxiJOsvYfqQoZi2/ZLz\nFLJkhxAQNIcXO/6kFVr0QP+5cUDT5lB2qyQngBP5aTS9Z63xIEI1tMDQKja1p7IRQdVobUFXWgy8\n0VObUKjdHRvOxR9BgxCZ/DHaX3yW5pbfj+d8aKoEjYqb093mA+W1Ch6rR4uhaRO20VeGo8nFsZiK\n0fjKnxxz4xqExBxCx4YzsahSC5L5Af5x7hE8eucy2suOfT6Z9ADbtxsuNPpAiQ4zJGogyRuPrw1B\nmNFgGZ6oZIoI5FfEqHcj/95kzy28f30C/tIX7JzK017eoZjp3+o3IEUU5M7bNNbjTqoFaNC8gYRD\nEfQ9xYkJeBEB3szIizrT7ZuScRIjKnbEahjw4LQ/sHlSPTzkE4Kt0/ZAvE+LDUuScmTGf7Uf2yfc\nWxIJZVbHUzYzkh106a/dwKmT5KC/RPOUc+fpyvDUNv1Qyysz0AUoVrPR3jxrkXKdczSa+gOFXfxU\nN5o2uckNu6gmz7quo47V9Nibp2aDUjeDHLpvKOKIvBiYnHY1eWp1S5vnaD355WXgxK1tuKwNxiNB\nzWj0m7YMIv98U2QnDMygeOitX0X1ghpBGxtdykyCjzYIDXI2N0rSJ0OnqYJKskNOKZ5G0RONPgio\nUBfVSW6hSaTgUjrtKaCpiOoVaiKgiHvevG3RG1KQatQi0KfotQMzs9eisVQTQ7XdLNPT8sqTbVXL\nK7QNdlx0tEw1eWcvG7B2jx7vPuVbaPvsMFcpoqbD3rpcjgk4igDPSXcUSZZTNAFahOZPo0OtvjqO\nPybQCBSl3+KvI1UXVHTdgkrkLGwzVsh1jAoqyvklIyBt/8O0cyjFPBc6XRHjeyXT4cm1jOa46Jre\nNg66J7dJsV0OyfjESNqJdBHES6+RJ+stPxd+iEucgtDUDPxf1s+YQJuthcV8gYFpGWgQ1K1gB12G\noq2KJpWq2nRtAE1PkR06c6rmdxfoOYR9iXYtbVKpin1lVUrptFUQoMnVrVLEkvUizUmfmP0T2tGi\n5qZSPUu+txw0qatBCkWCvZFgRJ1qRd0deUuruR3eToDnpHt7D8vtSziN2W8OV0YXJCkET705C4fi\nspWWR67/FuPGTcIf0baPQcOWfYoXJs+huZWmH4Cs6MP477hhaNu2LXoNGYVPl22jHRVzUsYlkj8Z\na8IjsXvu22hPOuaG285lzb6wE5+8ORMnaNjq9NoZmDp3F82jvINNP8zFssOXFEHZF/7EG29+j7Do\n45g5+kE0HreQFmEBqdF/Kbrb0zQC2f4nPlqCi2SXXP69cR/jAj1P3rViBt79epNS3mwWvzqAwMa1\nwLVY4JkXKaoF3wipEZXn+mZS7OoWmgZqlz06T9zVGKDdNKVzZzy6HXmN713/ezxHMc4/uTEGtc88\niAdpE6Jm/v/F6YYd8hb1mnMa68fz2n6YTSFCDcL7poXIezsN66nFaor0YpTDV3JiAt5AgEYAOHkz\ngZt/ieHQyt9YovvYf4vJbwxVjmmvdrEuJkvErHtXOe/91aFcCtlnxXj4CGjeFRcoNzVieU4diEfH\njhXDQnxN56Pmi1tyraTj4hnoLGVkXZ8dVa5YZBpjdlrskK83GfWzSEo/JfpBI1rl6E4Lm28jA6Hz\nRXLSIUu9J9/4t3gptL2pTMgUcT7sZ9EOkqVOE7In0aLR/Q9SUlLE1KlTRXp6umKskX5ZXJHU9OTN\nM+qzhfh9oxCLfhAiJdliVt5y8gV78yxC3OTAXrvVypmbkGnMFhMzF4pT+ihzls1rYXVtCpbyRE2P\nvXlqqm3qxsYI8fUMm/eBWh1H5dnodoBQNXnmvKTMOHElPVpczEgqlSazvFIJsaOymh61PDVRcrls\no158k7VerNbvUT63anXV8tTkFSfP0TLV5Ml5aRlGMfH7DHEn2aCYp1bOXrtLU9deHVyOCRRFgEfS\nveFOq5A27P3yX8oc8Mmbz2Hv3On45Ms1iFr3AdXYhdAP16B67ydBTjx2LNyKGzlyko9uxWxkI3TB\nk2hKC5PmPUGjqNIgrIxMxIa5c7H65G2sfaM/PQZ/AUvkEXOf3ImU0zafRhqNKv6rg+2sTqleT6xK\nP6no6jnnOC4ulqMb6BGoNnkiZAK2RyVCrH0e2vNHFPsnbbuOZV9Ox/drj2H/5zR/PWwnrjcehePp\nx61kPp8T+qwQIHypSALKHPRd24Goi8CTY4DKJX8cX6QyDy8QKa4ii54OtaKNZrw21aWpEXc1NoVk\n9LJG+vvWQAOantIkZ365lzUvX3N0tGh/tLY37UR6CLeE7dPOfIU9MMPPF2jZSMKJ8973pMADu4NN\ndgABdtIdANF9RVzDkY2ngbaf4q2H7raY2Wjwm/iuN82rPH8bmf6t8cobnYCTk7E1OovK6HF4+c/0\n2gbPDqQwZclR2BtGE/169Uanapm4Fh1NWzBno92AXoq8dTvOKa/JcszssWsw6aF7KO6wzmoDDuWy\n6U+2aYrNrUzTq9UVm8Op336A3o0CbPKmv/kWvly1DRHRN9HurV3Izt6J+/3p5iBbHkinGAdFyLQR\nxicFE6C5tdKWDcAlctDlRaK+9KvHSZUAPffAcsNujKKdHb0+ySEZjx3x0pCMXt97Ng0MpEWur2sH\n4r+GX2nbrcK/i20qesCJHHJySA8dfj9kREaW6bfBA8xmE5lAgQTYSS8QjRdcSL5hcrDzNUWHwACa\nwLfrDK7pteg6mkbKKc3bcp7+XsTiWUeBUa+jf00J6edPKiPZ2PEWmlSrhXqNG6NBrWpo/PBkpY51\n5N2eHZqoO+dKSfpjNeJuzlJ7rVo5d4FaxQ5PYuO0p2nkfBneeqwf7mlcGxV9OmDSgq2m+ed2ylTT\nw3l5CMiL39auAhJpJcCoZ7xooWCedjro9LjxHIXV1tBCvOYOkujGYgICaYYcOerr1tgsknRjix1u\n2pnYtyBF/OzSdS+GjN3oGNYGM5LoM0mbHf0zvC2+lY8p6fV3cDMruUTt7KRpQU8xq2Cr4XiJ6rtz\npcAqGtSjB7lnLvFoujv3E9tmHwF20u3j5JmlyIGVo6mgWiB8bFqQgZuXMulHNxh1aUvqih364B34\nYvfmXTh9cCsW0Wj6pGcHKDvx6QJzNtYInY3IqEhERETQ/0hERkYg7GgYtjxritIii3fUaHYG6c9N\nVfHI+4uQkRSLU7u3YN60N9EOpzDjpQfx/THL0tXc4nxUMgJ6Yr55PZCWCgwdAVSwDbNYMqHeW4vm\nEVJc9EMY5CVx0YvsKTkefus2QNxNSHHmiXFF1vKqAtmGy+QoJ7l07Dk9MwLH6CllupC/E/WIpOOM\nHKphsU/QotefchfwF4O2POL8vPZBbDOewFVjXDFqekbRbm20+OsUxV3iwXTP6DC2skAC7KQXiMYL\nLvg1Q49QGgHb+RfCknO/rUT0QfwUlgLcXT3HeW+C0V8NoVGy8WjdZTzNP38Bj3WrrwDwqd8KtCiU\nHnNnomqjZggODqb/zeAfvRYhHUOw+jxNhXFiCv/6CYro0guHUQetegzAi+/PxP7dHygaT4Vdt2iu\nwSEYLSyKeyDIQZe2/Q5cvwYhh9yTQ+9xKpCA7KD/LaLJWTMgRNO0wHLedkHIN24jngBWLAXknTTL\nY5ICKEYKxULPvIZLGXGqO33KI9xXM67hZmayzXCDgktxtumI4psnySPhVCZfotjpNzMTkERf2T7a\nnEESuZC2LY60DsPbAeapgHSNfsGthzTyySoko5amKgZpO2Oe4Q8YhbGQkp53qU0zLW7dEbgR713t\n8ryeYItLS4Cd9NISdOv6VfDQc+R0i2Xocf9Y/HowAucOrsFjjUMpFKLArFcfUkbL5Sa0Dn3S0pJK\nHz6O9n40ciYnv1Z4bhptEkTTXTqPnoVd4eHYtegT1O47iZz5p9D1bvMPhqm4o/82bt+ZRO5Cj9HT\nsJVCPJ49tgPfzftNUdO9SxPLnPRdm5djyZajqj+ajrbJVp4elw4epB/l3Jsg2+spOLF9A5YtW4fD\nsabH1LbXy/iMHE7pNwqzeJNGR59+EZLO9plLGVvnluqNFPJzgeFPCuHXl2Zw5U7NcktjHW3UXY1p\nIXFlmkvwt6Mle4A8ardhIUIj+qD62QfR9FxvVAp7AWvTzOFr72D5pdHw+ft+NDz3IGqf7QqfU69h\ns/m64SQ6hreHdGYCAk53RSCVk8sMunLQ4mjHJS5FQHhXyu+BwPDW8Lv4qcJF2aqIprt0OhWCjxLj\nEX7laXS8Q2ExjXNQN7w39hSy42hhYHtoWtNvgIQdZJt88+ktyYeeED/QXottR3jKi7f0aXltBzvp\nXt7z9Qa/jyNz/kVzuudjWJd78I8uw5U55tMo2svrbWiUPSdJjXrhu1CayEfp28e65+SaXnq8vx6/\nThqOC0veRK+QEPR69j3FQV95/nvcJy/epJF2eVpNjQo21VROTOWaB5hHatXrWU+08O8xBismUSSZ\ndVPxYMjdCO7YB/9achRPf/Unng4mORWro3tvij6y7nOMfnQ3nDuub9skY9xhfNCnOpp2eRFR2bbX\nTGd38H2fhmj/9QqsGTkc99UPxI9nXGmhmk1WefKP8spf6EaHjH9iFI3Uaa0u8mFBBC6KWAocCjSR\n6hRUxLvzBw8Dtv0BpKiMAnt1y+XvrVv409AJS+rNxY7aL9D5AQyNnE4reQhH4go8mXwczQKm4Vzz\nTThc9y34G3fikdjdFie8pswnazt6BU3HoUbfYgJ95n5L+AQ75UWOmbtRK3o6ktEa8xssxj5FvlzB\nnPQ4n3PYuPpr+FAODK55BP+rPxP3aHMGVcxF7XzVUWSvl7SD8CPZGS/ccBDBznaoFWvTTMKpKAGD\nwXtuPtTayXleTqCoGI18nQkwgQIIUCjxzJs7RTupl9iTlD/GedrR+WL0nOM5lWPFZ1JFS0x4ObNM\n46RnZgqxdpUQK5YIkZGmGutcrdVqsYPtzVOTV5Z59tptXS7TmCXezZwvzuov22W6dV27KpSwkJoe\ne/PUVBZZd9M6IbZQHH0nJDXdpVGjJk8trygdYZfHCJz8p/gzM/ezHnltEuW1El/cuSPikzeKVyJ/\nFtctguLEF6faCpz61rSfhP6E6HCytbgr+oClRGbiQqX+tDu3RcTVl5TjeSlpluvR1ydbrguq70/1\n5bJyirhK9oTPE6l27q+g1mY5T/7/p/6I+DR7hciiuP9q5SwGlfDA0TLV5OXNM1C7FmzIFHtPZpWo\nTXnllbDpXI0JlIoAj6R7+U0YN8+JBGggy9e/KmoUoML37mGYO868sNYfgW180LSG+SlCAZVckS0v\nEv2dpgzdSYAY/k9aJKo8THeFZo/XcdZ4mdZIaNBC29Dj21KqBnR/ADgVpryHSiXHoyrTompNH9zn\nmztq3bBSa6UF8sLOoCr98WpgBXx8biSkU20ghfXCuwb6rGl8LQv35ZHwF6q2tLQ6d2a/nnZRPkxl\nn8Wwyrmfx7sCe1vK5j3INpI9lFQf4uUtXMi5vIi0r6YDUkQ6DhkjCinpWZc01K6B3bTYctCAbOoG\nTkzAEwmwk+6JvcY2ewQBrX+QZc4/EIuDFG9+dK8WNrbHx8dj+/bt2Lp1K65fz10Ia1PIkSdGI6Rf\nV9KzeVo4PPo5SDzFxW668uK65cY9eErT0+46XlswoCrQV56Gtsqr5jKXpr8ORD2Be2Kn4VtDdbwf\n+B62NPgSz8srO/Mm8+JRq3yJIpbfyqZFjsZE2mTI6oKLDmVHfbz2Ucw37qZpL94zjal6oAbyrKDr\n8WUA1UV9x2q8m4DKN4h3N5hbxwRcT0CPLeNGoe62S3isnu3CTIPBgNTUVOW/Xh7hdmISRlpE9cvP\nygZFYgSNoGv4418c3IeNZyiyRwW01jQuTjXvLXtPKxpJvwMp9qr3ttGmZbRw1LgBezNzHb6LKbTB\nE6XGvlk4knqB1nW8jsSWX2NawycwoFp73KWhUXc7AowIVEb7yhTiErtxwWoTnsuJOxT5rvhTV6pG\nN6BytJeNrlDnEh1a+op7qLMOm/fr+WbSJcRZiaMJ8K+0o4myPCaQh8CZueOwtOuP+LRPgzxXgJo1\na2LQoEEIDQ1Fgwb5r+erUNKMzAwaQaeNiuTwig8PguTjW1JJ5bKePIq+nuKiP6q5Fxqa7sKJCPjS\nSnH5Zm/1Clr0mFEOkMhT1S5i4Pkp2J50Cn9en4WWt2gBrc+7CK1YBRVkh9ywHesTziIqZR8+PNMP\nU+QbY3EFl+2IvtKi2qMk/xbJn4htqZcREb8QjW6sK5BrliB7jEvxTVy4Q6JayaPp90ttaLMmPQ4Z\nzniNU9uhhRZX4+RwjLk3VwVC5QtMwM0I8K+Nm3UIm+NhBLJT6WcVqJQ7jRTGuNMUcnGbsslI7PoX\n0fL71pgyMAjR0Rfw6xcfY2+Ca38sRDbNfN24nhwp2sBq6GMQvuygF/ddFi4u0cQFDVrxKLotuvo0\nN1/ejfTvU+SMuvZ9bWuIq85qoJ20Fn2j/on+N+fTyPkwHL17NAJo987H6r1NRoRj9JXhaHJxLKZi\nNL7ypzUpxjVoc/WQYuDdBZgpf31UqPwYImuPofKb0O/CI7jn6kz0rdTXpoapPs3foNTIX56vfgvv\nX5+Av+y4CVAqFfGnoqYCRZwZiNmGLUgWbhSJqgi7C7uso3CMIc0lHD9PN0ycmICHEZDkZaceZjOb\nywTcgoDsjM957w2Mn3cDr33+Jp57dhTa1fRB3PqJqBV6EH+dnoDurYbb2jp2ObLnPiFvD6VMcZkx\nYwYmTpwIPz8/ZeRKHs1yaKI56MoUF5KPYbQRDcmXP/J59ajlqdmhVs7ePDV5ZZlnr916mkP8ln4B\n3tAORlNN3WKZrKajWALsLKymx948NRXFqht/G1hEDuuLLwP+pd83QU23mo325qnJU8uzV568fdBN\n2sgolT7FDf1qKp9lizzDHVzKTKJNiILQoIJpI6IkfbKyKVFFOz/aev0tXMlMg49PLTTwtQ5IK98H\n2X529bQpUqpRi0Afq1GCAhqSt65crKC8tYZ9uCriMF432CFPjtT0FGCmXdlq8grLkzc1+nZ1FqY8\nVwE6O8NVqsmzyzguxAQcSMB0S+5AgSyq7AgYEy5i58GbaNWvC2rn7dnkazh0+CQ98kuBoXYrDOjR\n0mpRY47NdpRJjD6FYxEXcTslC/Vb90HX4Gpl1+Ay1qyp+Q+Mnb0Zr8zVQa+nx/05GwHVHPwJEml/\nkwA/nfIjWFZmKjuJLllEc2pqQAwYmM8xLyu7PE3vWXEV/sIXd0lKlGtPM9/59gbRd0BIW9rZeBsw\naKjz9ZW5Bh1q+RVws6atiiaVaFGtVQrQmZx1q6xCD3W6GmiS9/u7gBo6bRUEyEH7HZwGa7tgsn4x\nRXs5gy7aexws3fXiagVJuKuOBkci9OjS2nZdkOutYY1MwH4Cdn4V2C+QS5Ydgb++HYW+H6RgT9JJ\n1FY2GTLZknZmBbq3fFLZZdRi3ajZuL74FdTOybCnzLG5z6HjSz9aRMgH45aewJyn6Ae6JCnjJEZU\n7Ij4r/Zj+4R7SyKhjOvooMv5BOl01iNeOnLQy9i0jHRIa1cD1atD9H+EdxItYXdkiCz8qP8Tr1Dk\nC115213UXmby05/O3YCFc2n2xU2gRi17a3I5NyWglbR4QdMP3xg3oqXmLgRKVdzUUvvMkp8c9mij\nxYZ92eyk24eMS7kJAZ6T7iYdUWIz5NHv7Vvw7eSn8cAH+2k6Q2PYzji+gm/ueVZx0N9ceRhJSbFY\n+waFTlsyHgO+2Jejtugy4sL/TA669BQ2RCfuYpYAAEAASURBVNzAnai9GE/Rf+eObIe54YklM9/P\n9IjWWIFHNkoGsIBaWTQHff0aGtmnHUQfHcKLRAvAZE92hDEKFaUKaKotYOTUHiHloYw8zaX3g8CG\nX0E7x5SHFnt9G+/WNkAPKRhLaTGsPPXD01PjuhrE009VYgq/Pz29L8uT/eyke3hvp59fjs59H8Zr\n039WbUl6+B/4N21SUW3SH5g5ohP8/esi9Mv5+CCkMk5OWo6ztOCoqDLnKDTglm//q8j/7MjXeDS4\nFgIbdcc3kSuUvDfXHlfVLc/dPL/9Zzzdp70y1UJqG4pPVh1RtsjOvvAn3hv3MS5QfLJdK2bg3a83\nUVQBU5LrvDykL/r06YPBoydh+cEoi3xj3An8Z/JH+PXYMVqE+Qratm2L1n1y5ZoKFqzXIshbDyik\nI5b9BMg3QPJGRY6e4+6t3FTaZRAGrKC46P/UPKBylbPyEhAtaVpEUhKkmCt5L/G5hxIYqO2Mk8ZY\nnKMpX56e/CpICO2hw/+2czhGT+/L8mQ/O+ke3tsVO7yG+JvxSI4/g+kh+R9JRu8zjZZPDO1g1dK6\neGBga1o1FIU4mjtdVJmb6em4dukCOXwvYGBI7hx0qX5TDIcW6TuOK5FMrBQohze3f4QWfZ/Gz7fv\nwuuT3sDwsI1477F70W/uYWSn3cDGeUtMU3B2LMWqw9eUOse+flypM2fdduy4LXBlyed4sksTjFsl\n79VHAUqu7Me70z/AsI4dMWziXvQe2Ad1d/ymyO3/tamthelVhHjpHyWKy4/zgHr1IQYOZge9lP28\n3/g3qsEfwfS4n1PRBJSwnk+OBlYuB+g7g5PnE6gk+eED3Qh8oV+DFKPnR3tpR+EYL8QYkZzq+U8G\nPP/dxS2whwA76fZQcusyOgTVDEKVoPq4q4naRGjaWRI9EdKUHkdbkg71G9FGJGID/jovj18XVSYB\nmUk0QtuLNuegcFaW5FcL94dUotMKlm2vLdeQgd0/0hxVaRB2H1yLWZ9+iVUUxm4Kld31/V6ktxmF\n4+nHFSe/55zjuLj4efjHbkTH12k3TJovfyVbQJzcgeM39+IZip8w74lvlFF/mON7k9x1MUcVuX/e\n3KOU2fHGZ9ibnF6o3tu5BnrXUVoapBVLgfoNIPr0p51EeblJaTpYjou+geKiD5TjosPqPV8aoeWh\nbq06QN16QFhBT9fKAwTvamNdqTq6a1pijfEvyJ8LT06+9LV4d0MNTl3y7HZ4ch+w7cUjwE568Xh5\nZmkpAEH+BTltelObCimjTTuLbTtoq2jy87NtCPijVhPa0EQ16VCtRmPlRmDS6x9h7Z6jiEmoin9n\npyD7yGuoLtchR1xOtzJNUi/+sUY5H/nwfaicEEtxxaMRp2uMIW/Q8lYa9b9qtVt128/+jcHm3Ttr\ndsPEOcMsNx1F6lW0eNGfjAxgzf+of6iD5I2KzKtZvaiJrmyKPP/2hIhUdhflUfQSkB/wCPDXHpr6\nUsK1KiVQyVWcR0BDU+ZGaXvjsPECIoyXnafIBZI1tOHUI120+OOQHtk5vz8uUMsqmECJCbCTXmJ0\nnlKRpsDQiPnxKHnE3CopvnUbNKsuhwcrvEzjhi1yRsxpcz0rEfKcc2WEnfJsnXe5kA69Jn+Dt3v7\n4695UzD0gU5oUC0AFfs/g6VHr5uk+NiOUGZnmrKXjrwX1WrVR+PGjVGrWn0MmRWjtOHIpdw2DO3a\nzFQ452+jbrQYVkl26M0p6RUveiK/eCFF1KgBDM4Tk90rGuj6RuhhwALDVjyv7Q85ygWnYhKoRrfg\nHToC2/8sZkUu7q4EfCUfvKR9CPMMv0OOeOTJqW4NLapWlnD2Mj0d5sQE3JwAO+lu3kGlNi9noDvR\nZjqhHuf2b6apKI1xVzVyu4ssUw0BTXwpYshxRFrvbJcRjY07yHGu75/HeTdZral5L/6zPQkJMRew\nd90yfDKWYijT/PNnur6Cgxn55wSaHf0hP+5DVFQkIiIiEBEZiQsRYTgSdgn/6hBowRGTYNMgJFw6\nZ7lWXL2Wip52IG/FvmAO0PxuiAcf9jTr3dbe0xTRpRbduMqP+TmVkMB9XYGoS8D1ayUUwNXcjUBL\nTSPcq2mOnw3b3M20YtvTNUSLv8J5ykuxwXEFlxNgJ93lyF2rsHmX3orCf89dD8tSroRD+HneTZpj\n3hvNKJ560WX80a5bHxrNno/Fm6IsDYjZuQaradRx0MMd5JkwedItzGkbCGnIYlSp1xTdBz+JyXPX\n4Ojn5EyKJHrUmFu8Rk4IxjqNGiiZlX0D0KhRMwQHByO4WSOEz30Bndr+H8KtHPsfVm63RIMB7mDL\nwgVUtyfub2K0W2+uBR54lELrCH5ZDDQjB71Hb5qDziO+jujFdBolXExOyNPaATyKXhqglSoD8rQX\nOSSjHHGIk8cTkKe9DNLI0V4u4rLxhke3p20zLWJuCcTdYUfdozuyHBjPTroXdXIGTKPT1g8jdcEP\n4bvetAPevDEY88VaHD+4BuN79VOc60nvPabMDbenTPtRL6IdLaCbFfosZq7fjDVz30ODh6cpC0Pf\nHXSPCsWqaNyFptGsG4MXSe+ZCxdweP0P+HTiHwB90deTN1vKmRO4a/NyLNlyFP79RuIdivK+dGRr\njJ+7CeHhh7DgzUdoussh4PURCPazmh6z5AX0m7wEx8IP4rtxD+L5dbQkdOzL6BAUVLReFWs9Kos2\nKsLKX4DaNFe/30M8B92BnXdKXERV2rilsYbYcioVAdG8BZCVCelyNN2Y539yVirhXLlMCARqqmCC\nbjA+oWgvaSJnfmKZWFI6pXI4xq6tNdh5NGdNVunEcW0m4DwCtEiKk1cQyBZbJ3UWFCZRHEs32rYo\n6ZSguOjyr6Tl/7Cvdops61J2lIk/8IOlvklWTzH36HVrKTbHxpi94pWQivnrHLhiKpd9WczsHWi6\nrp0pblGuWp1GY78TF3KMTQubr5TvMepFQTcNubJDp4uzOe1Wk0Gj7GKuWa+NlWV3kpKSIqZOnSrS\n09MVI4zGPP2mZlpmphCzZwmx7Q+1q3blqelRy1MTplbO3jw1eWWZl9fubKNe/CtrnjhruGxjVt5y\nNheLOClN3SJE21xW02Nvno2gnJPS1LWRdytOiC8+FiIt1Sa7sBM13YWVL+qamjy1vKLkFHbd0fIK\n0qWmRy1Prb5aOXvzrOUZjAbxddavYrV+j3V2ocdqegqtUMRFNXn25plF34g3iInfmb57zXnWr2ry\nrK/zMRNwBQFJVuK8WwCW7D4EMnD5TBTSfHzgX60e6gfRZjf5UtFlDLTD6fmYRPj4VETNRo0QUFDQ\nGIvsDFyLjkFiejYE1amfr44eyRQ2UZbn52cWpqc60UjT6xBQrRpqBsmLW00pPXwBKoW8gC8jUvFG\n4yzExsvzZnSoVy/IXCTntSi9eYqXwWlqaipmzJiBiRMnUtv9lF395O2rC0zpNA9f3nq9XQeILveX\neIqL/JHPq0ctT80OtXL25qnJK8u8vHbvNBzHMQoT+oZ2KORH++aUt5w5357X0tS1R765jJoee/PM\nMqxfS1PXWo5yvIriptepA9zfK98ltQw13Wrl7M1Tk6eWZ688tXKOlqemQ85T06OWp1ZfrZy9eXnl\nyaPob2UvxFu6R9FC0zDv5XznanryFSpGhpo8e/PMamhMBN//mo1ubSS0b2EbEkEuoybPXJdfmYCr\nCJi9IlfpYz1lRsAPd9Ec78JT0WW0tGNpcHDdwsXYXPVDXZpfXnANHe2CmuuEm6rqlDo2YvKcZKbR\nlA+/6uSc57lgOS1Kr6WgZxwkUzi7/9EUl9ZtS+Wge0ZjXW+lKS76UYzV9Ldx0F1viRdq7DcAWDQf\naNUGCOLFuN7Qw5WkCnhG2xM/GXZgivQk5OgvnpbkcIxDe2oxb50erZsIGijKvTH3tLawvd5LgOek\ne2/femfLsk0z7mlgvvyktFRgxTKgcROatdOnxCPo5QdY8Voqj5gdNp6j9RmV0ExTv3iVuXTRBKrS\nU64OnSiyE0UF4Qe3RfPykBL3aYJRB4HYaDjoIRbnN7N2NQ1t0ATc5AWk+eFwjlsQYCfdLbqBjbCX\nQMUOzyKKwjK+QpFjykVSwix+DwS3BPrSiCQnhxPIpCj/Pxq34jmKA62l/UU5OYHAfV2A6CjgxjUn\nCGeRZUFAI2kwStcHK2ln3niK2OWJSUuj6X06aLHtKEcg8sT+Kw828y9Seehlr2qjHxo1a4Zalvnr\nXtU428akUpjFud8CnbtDdOthe43PHEYg3HgJd4HWPkgUBYmTcwj40RqYwUOB1f+jkIwcUcM5kF0v\ntSrtJzBJG4oPs1dADl/qialbGy2MHInRE7uuXNjMTnq56GZupMcRuJMALFkEdOoMQf8lDcdBd0Yf\npokMLDfsxBjtgxQXnb8OncHYLFM0oulavj6QIs+bs/jVwwnIC9BbaZrQxl/+2G08qSy29LQm+dJc\n9Cf7ed6cek/jzPaWjAD/KpWMG9diAs4lsOZ/NMWF4s/TCLqk4Y+ps2CfMJ6nEfRANNDUdJYKlptD\nQNJRnIJhjwO/rQXkdRacvIKAPO3lJd1ALKdpLzHilke2qYIvLxr1yI4rB0bzr3856GRuogcSeHiQ\nskjUAy33GJP10GO1cT9GaB/wGJs93tDqdDPUtDlw6IDHN4UbkEugKo2kPyd1xzzD7x45mp7bEj5i\nAu5FgJ109+oPtoYJmAjULTC2JBNyEIGdxhNoLNVGM6ngAKEOUsVirAnQLrk4fhS4FWedy8ceTqCb\ntg0CKELSZiPfgHl4V7L5bkSAnXQ36gw2hQkwAdcQMAgDNhmO4WGpU76NnVxjQTnWIu+L0KUbsO33\ncgzB+5qulbQYqe2FXygkY6KRpzN5Xw9zi8qCADvpZUGddTIBJlBmBOS46AeNZ2ixWyCaangUvUw6\nol1H4DqFY7wWw7HTy6QDnKO0jhSEFzR98K1hLbIFR/FxDmWWWp4IsJNennqb28oEmAAykIVFhm14\nXvsw7S7KX4Fl8paoSCEZhz4GrPyFQzKWSQc4R6kc7aWHtjXu0N4D8o0wJybABEpHgH+hSsePazMB\nJuBhBI4bI3G3VAtVpSoeZrl3mSvqNwT8AyCd+du7GlbOWyNBwju6ITTtZTeuG+PLOQ1uPhMoHQF2\n0kvHj2szASbgQQRSRDpWGvZgFMVF1/DuomXac5KWYv+HDgd+3wIke+aOlWUK0E2Vy6PptWhjsIc0\n7bHEuB1GwTsFuWlXsVkeQICddA/oJDaRCTABxxA4ajiLhlIN1NVUd4xAllI6AtWoH+6+Gzh8kOem\nl46k29UeoO2IRJHG017crmfYIE8iwE66J/UW28oEmECJCWSJbKyh8HDDtD1KLIMrOoFAvwHACTkk\n400nCGeRZUXAV/LFy9qBmGXYRDPUeRFpWfUD6/VsAuyke3b/sfVMgAnYSWCr8ShaahqgEc1H5+RG\nBCpVNm3ctWWTGxnFpjiCQF2pGp7V9sQs/VroKewpJybABIpHgJ304vHi0kyACXggATku+mbDCQzQ\ndOS46O7Yf61CTPPSoy65o3VsUwkJyPPT+9Nn7ppIQJjxQgmlcDUmUH4JsJNefvueW84EygUBOS76\nXuNp2l20Bo2i1y4Xbfa4Rvr5AYOGAOtWQcrO9jjz2eCCCchhTifoBmMBhT1NFCkFF+QrTIAJ5CPA\nTno+JJzBBJiANxFIQyZ+MmzH87oBHBfdjTtW1G8AVA0C/j7lxlayaSUh0JhujrtKwbTLL6094MQE\nmIDdBNhJtxsVF2QCagT0uHTwIK5mCLWLOXn2lCmkOl8qFYHDxrMIkRogADT3mZPbEpA0FJJR3uBo\nK4VkTLzjtnayYSUj0E/bDtvFaaSJjJIJ4FpMoBwSYCe9HHY6N9kxBIxxh/FBn+po2uVFRBXwhN6e\nMo6xhqWoEUimEHC/GvbhSW1fHkVXA+RueQGBQGuan75/L4dkdLe+KaU9tSl2enepOTYZD0OegsaJ\nCTCBogmwk140Iy7BBFQJaILuxXsr1qOdVHDMbXvKqArnTIcQOGj4G82lOqitoWkUnDyDQI9ewJkI\nIO6GZ9jLVtpFQF5E+pCmE34zHIeBNziyixkXYgLspPN7gAmUlIAO8PWvihqF1benTGH1+VqJCWSI\nLKyjUbuh2vtLLIMrup6AkEMy9u4HbFzneuWs0akE5J1I20v1sVuEO1UPC2cC3kKAnXRv6Uluh0cS\nSElJQXh4OMLCwpCQkOCRbXBXo38nB72dpjHqU1QXTh5GoGUrwK8SEH/bwwxncwsjIEd6eU73EJYZ\ndkKeisaJCTCBwgmwk144H77KBJxKIDExEYcPH8ZBWnwaHx/vVF3lSbi8ccrvhpMcF91TO93XF2LE\nP4Eq/p7aAra7AAL+UmUES/U4bnoBfDibCVgToIfxnJgAEygrAvXr18dzzz0HP4oTzYupHNMLMsed\nxpPkCNRFPR5FdwzUMpAi+fiUgVZW6QoCw7UP4Dv9OtynCYaPxP3sCuaswzMJ8Ei6Z/YbW+0uBLJT\ncYtsqVQx1yBj3GksW7YNlgf1KmVyS/ORowmkIh2L6XH6cxwX3dFoWR4TcAiBJpo6qEM30PtokzFO\nTIAJFEyAnfSC2fAVJlAoAdkZ/+7tKTghbmPRzEU4EWeKw3h7/88YOfIjRFLs9ILKFCqYL5aKwH5D\nBO6TmqASaBdLTkyACbglgYe1nbCRNjcycqQXt+wfNso9CEj0aJgDlrpHX7AVHkdAD70e0Ol09Eob\ndOj8YJo/pkcSnQb4yWcFlQFSU1MxY8YMTJw40TLdRQ5T5uwkf+Tz6lHLU7NDrZy9eWryHJ0nbzv+\nfvZivK97CjU1FHO7kGSv3WrlChFrc6k0dW0EFXGipsfePDXRpamrJq84eWq6i1M/b1k1eWp5eesV\n59zR8grSraZHLU+tvlo5e/PU5BUnT02PgdaNfKZfgQc1HXGvpkW+76TC5KvJszevMLnW19TkWV/n\nYybgCgI8ku4KyqzDSwnoFAddbpzO4qArZzkOuulYduKVI5syShb/cTCBfYZTuId2Fy3KQXewWhbH\nBJhAMQloJS1GUHjUZYY9MNI/TkyACeQnwE56fiacwwSYgAcSSKe46BuMxzBY280DrWeTmUD5I9CU\norzoJQOixc3y13huMROwgwA76XZA4iJMgAm4P4FNhgPorLkbdaVq7m8sW8gEmABFdtFhgnYgvjZs\nQpYwrelhLEyACeQSYCc9lwUfMQEm4MEEatNuhqGazsWa2+rBzWXTmYBXEGihaaAsHr0ornlFe7gR\nTMCRBNhJdyRNlsUEmECZEbhfG4KqmoAy08+KmQATKBmBEdou+JWehMmLNTkxASaQS4Cd9FwWfMQE\nmAATYAJMgAm4mMD9mlaIQxLOissu1szqmIB7E2An3b37h61jAkyACTABJuDVBDSSBsM092GD4ZBX\nt5MbxwSKS4Cd9OIS4/JMgAkwASbABJiAQwm0l1ogljaGizVa9mp2qHwWxgQ8kQA76Z7Ya2wzE2AC\nTIAJMAEvIlBZ40dx07tjhWEbLSTluele1LXclFIQYCe9FPC4KhNgAkyACTABJuAYAu00zXEKsUgW\nqY4RyFKYgIcTYCfdwzuQzWcCTIAJMAEm4A0EKsEPj2u64xfDdh5N94YO5TaUmgA76aVGyAKYABNg\nAkyACTCB0hKQJAl9Ne1xnKK83BDxpRXH9ZmAxxNgJ93ju5AbwASYABNgAkzAOwjoaBfSXpqW2GkM\n47jp3tGl3IpSEGAnvRTwuCoTYAJMgAkwASbgWAKDtd2w23gat0SSYwWzNCbgYQTYSfewDmNzmQAT\nYAJMgAl4M4HKUkWa9hKCLRw33Zu7mdtmBwF20u2AxEWYABNgAkyACTAB1xHooWmDnTiHdJHpOqWs\niQm4GQF20t2sQ9gcJsAEmAATYALlnUBtTRB60AZH6w0HeW56eX8zlOP2s5Nejjufm84EmAATYAJM\nwF0JhGq7YK3xKDKQ5a4msl1MwKkE2El3Kl4WzgSYABNgAkyACZSEQCAqo6vUDLsM4SWpznWYgMcT\nYCfd47uQG8AEmAATYAJMwPsIaCQNxmh7Y6VxP5J4F1Lv62BuUZEE2EkvEhEXYAJMgAkwASbABMqC\nQFWNP1pKdXHMGFkW6lknEyhTAuyklyl+Vs4EmAATYAJMgAkURuCf2p5YY9iPDJFdWDG+xgS8jgA7\n6V7XpdwgJsAEmAATYALeQ6C+VAN3a+rgL9qFlBMTKE8E2EkvT73NbWUCTIAJMAEm4GEEJEnCAKkD\nNhuPwyiMHmY9m8sESk6AnfSSs+OaTIAJMAEmwASYgAsINNPURwD8cILmpgsX6GMVTMAdCLCT7g69\nwDYwASbABJgAE2ACBRLQSlo8p+2PRcZtMNA/TkygPBBgJ7089DK3kQkwASbABJiAhxOoI1WDv6iA\nC8ZYD28Jm88E7CPATrp9nLgUE2ACTIAJMAEmUIYEdJIOo7UP4mfDNmRzpJcy7AlW7SoC7KS7ijTr\nYQJMgAkwASbABEpFIFjbEFmSwDnj1VLJ4cpMwBMIsJPuCb3ENjIBJsAEmAATYAIKgcc03bHCuA9C\n8BJSfkt4NwF20r27f7l1TIAJMAEmwAS8ikBHqRnSoccpY5RXtYsbwwTyEmAnPS8RPmcCTIAJMAEm\nwATcloAc6WWIphN+NR50WxvZMCbgCALspDuCIstgAkUQSI0+hZOx6UWU4stMgAkwASZgD4H2mmaI\nFrdxw5hgT3EuwwQ8kgA76R7ZbWy05xC4hU1fPIsqjdvg1ytpnmM2W8oEmAATcGMClSQ/vEKRXr43\nbOJdSN24n9i00hFgJ710/Lg2EyiCQA088u6XWBgSCOFTRFG+zASYABNgAnYTuEdqhGviDm6KRLvr\ncEEm4EkE2En3pN5iWz2UgA6ZBWxknZWVhZs3b+LGjRvIyMjw0Pax2UyACTAB1xPwk3wxVHsv1lKk\nF2MB37Gut4o1MgHHEWAn3XEsWRITKDaBmJgYLFy4ED/88AMiIyOLXZ8rMAEmwATKKwFJkvCgpiNa\nSg3IRTeWVwzcbi8moPPitnHTmIDbE2jSpAkmTpwIPz8/jvnr9r3FBjIBJuBuBORILz21bfn70906\nhu1xCAEeSXcIRhbCBBxH4M6dO7h48aLjBDpQkmzbpUuXHCjRcaIiIiLccsqQvOHK33//jczMTMc1\n1kGSYmNjlalWDhLnUDHyUyZ5Kpi7pbS0NJw9e9bdzFLsSU1Nxblz59zSNvlJYXJyslvaJjNLSUlx\nS9vYqPJNgJ308t3/3HqXEPBDBUi0cLSiXdouX76Mbdu22VXW1YWioqKwY8cOV6u1S9+qVauQlJRk\nV1lXF1q5cqVbOgFHjx5FWFiYq3HYpe/w4cM4deqUXWVdWej27dtYv369K1XarUu+qfntt9/sLu/K\ngps3b8a1a9dcqdJuXZs2bXLbm1W7G8EFvZIAT3fxym7lRrkPgTvYtei/+DosCenvT8N9n72LR4Or\nWcyTR1mNRqPyXz6W51jKr+Z8S0EHHpj1WItUy7O+bj5Ws02trlqeWYazXtVsK0yXmo325hUm1/qa\nLE9OxbXNWoY9x/banbdcQXblLWdug/z+dHYy6y7ItuLqN8uzrqeWZ329sGM1u0ojrzBdea+p6bHO\nU7PNLMO6XHHzzOVL+mq2S36Vv+9KmxzdFlkeJybgjgQkenPyu9Mde4Zt8noC8vSHb775BvIUEo1G\nozhyshMkP7KWHwvXqVPHKQzs/YFTUy4/Epbtq127tuVyaeRZhDjgQH4CUbduXfj42Bfr0l671crZ\na665rmxbvXr1oNM5Z1zErMfaLnvy4uPjlRvDoKAg66qW96J1ppo86+uOOjbrkUestVotqlatWirR\nZnnWQtTyrK8Xdix/buPi4tCgQQNLsdLIswix40BNj3WeHCFK5la/fv180qzLmS/am2cuX9JXWY88\nii6/zypWtO+JYmG67LVbrZyaXPl7d8KECahevbrlsr11LRX4gAk4gQA76U6AyiKZgL0E0tPTLXOV\nXfWjoKZHLU+tDWrl7M1Tk1eWefbarVbOXrtLU9deHXI5NT325qnpKU1dNXnFyVPTXZz6ecuqyVPL\ny1uvOOeOlleQbjU9anlq9dXK2ZunJq84eWp6ilM/b1k1efbm5ZUln8s39pUrV7a5pCbPpgCfMAEX\nEGAn3QWQWQUTsIeAq34U1PSo5anZrFbO3jw1eWWZZ6/dauXstbs0de3VIZdT02Nvnpqe0tRVk1ec\nPDXdxamft6yaPLW8vPWKc+5oeQXpVtOjlqdWX62cvXlq8oqTp6anOPXzllWTZ29eXlkFnavJK6gs\n5zMBZxFgJ91ZZFkuE2ACTIAJMAEmwASYABMoIQGO7lJCcFyNCTABJsAEmAATYAJMgAk4iwA76c4i\ny3KZABNgAkyACTABJsAEmEAJCbCTXkJwXI0JMAEmwASYABNgAkyACTiLADvpziLLcplAXgL6Wzi4\nJwLpefITz+zFvmhzrh6XDh7E1QzryKgpOLF9A5YtW4fDsdab9VD+ltVYtGgR/gx33M6MqdGncDLW\nbE+usbZ2AsaEi/ht7n8wfdGuPG26g0Pbw/Lk5cop8VGR/FJweP0vmDt3KfZfiLdRczt8L/Fbhk0H\nI6G3ueKoE7V+k2VnUB9tx1Wz0gLaIJeMD9+BH774GD/suSSfOj4VpDvjMjZvj1T03ab34i/0flqy\n5Sis32mON8ZaYgHsrOwyl75+bC/OJVt/NsxXnPVatG3Of2/Z37aCPrv2S3B0yYK+uxytpzTynPR9\nVRqTuC4TMBOgFcycmAATcDKBqM3fin7QCLSdKW7Z6MoW60Z1Et9FpgrDzUPi/d4B5IG0EXuSjDml\nEsR3vasKhI4Uw6GVvROxMCKVriWLpaE1xMil+0RczDHxDnzFv3dft5Fc/JM4sfHzZxQdUw7YWilE\nrp2y3L+Xvk3leopFB86L9GxbTRFzBgpoPs3TTtsyxT0rit/3kTeJR0fx7OffixljOym27Yk3MYxe\n+qpy/lJoe6Vtrb/6q7jqCy2v3m85VdJPiKGad8VlOi2wDdmxYsGoWtTH08WJmEQi7fhUoG5SlbBt\nigj5/JCIWfcu2TBTnL8ZI7ZOe0hg7Bqn2GLdusLYme0ylzdG/ab0X/73prmEY1/tsc3Z7y37W1TY\nZ9d+KY4tWdB3l2O1lFaaM76vSmsT12cCZgJy6C5OTIAJOJ1Atgib8zg56bNForUucuLGtJ0qFPea\nvLPMmztFO6mXxUlPOzpfjJ5zPKdGrPhMqihafXVIiKTDoh0ksTnHEb0sO8bTHOF8JoiFIYHig6N5\nnHQrO6PWvUPOUhuxNUe3dXOyIlcojhR652mndaESHRfO70rk7+KHbVdyJF8W4+EjZoXdoXuLs+Kt\n0C9NfOlq2FePqNwolcig3Eoq/Wa+mLR7uugt95eS1NpgutlC6HyRZq7klFc13bKibLF5bH+xICpJ\nrAytKQYtPWvSHrXE4Tdaqs0qkJ3ZrsycapfF9N6mm6zP8r43VQU7ILMI2xZGhjv/vVWsZhTw2S2W\nDMcVLvC7y3EqSi3Jed9XpTaNBTABhQBPdzE/UuBXJuBUAjr4IDWfhuTDm3HiqUeg7N9Jm1H6+ldF\nDatSvncPw9xx7XJy/BHYxgdNa1QC/JtjXIg/Hh4+DcdomsQHL1/BkqfM5awEFPtQh0zIfrZtstiZ\ncRpTQ78Eeg9HwrafsWT9Adw2F9Wfw4QXj+HggR9o7kamOddBr4Xza9CsP17oY9oBMvnYH5jd9nOM\nahNIuuth4o/jTXzprHH7Hoo99u1JaqfpKv1mqqnHX0t24LGBrXIE5W9Dwp55GLnuFkb08cMmmmay\n8ViMnUqLWyy/bkWC/ix+OdgNDzbyR/vHB2PDyBH4+WAY1s5djJ7f9UPu/ovF1Wdn+YLYWezyVQTt\nnfwWKs1YA7qRQJqdoktdrEjbGjn/vVWsRqh/doslwoGFC/zucqCOUoly6vdVqSzjykzAQoCddAsK\nPmACridwmJy4lwebnbj8+rX+tI22JTsWB8PSMLpXC8qpipd2bka/HdPQMaQPDny/DCObkfPupGS2\nM/38ASyiWd39HmqL4Kb+WBt6P2qMW0zzl/XY/M5raPHdp7gvkL5WTjnJkDxizXaZsvXY//V4BHR8\nAQjbgR0XaFa1rgpqBeW65IeXfIseb/RHQB45TjmVHc0D7fFoIf1y9fhBRXXbFsGo63saj3ZsgNe3\nX3WKOWpCk49uwMmnHkRDutjsqVlYOeomnu7SFkM3DcDqcfeqVXFJnrVdyXtmYkLF8ZjQoQGSL2WR\nfvKeyzCZbWug8y+791YZtt9e1QV/d9krwZnlyub7ypktYtneSYCddO/sV26VJxCgkZyfyInrH2yP\nc63HlnGjUHfbJTxWT3Y69TiweD40037C8mnDceal1vhwj5Ocu7x2SoPw+VuhaN1hGH7c/TEwbwH2\n/zYNz+ElPB9sREzsDZo5n4HbyRlkpRNTXrvIees6YTYMN4/jgzbb8djqszbKE/Z8hmfwX/z+TME3\nRTYVSnmSfvQPhI8YrDjABYnyRQrw+SG891BHdHvqP9g9rSu+/ni9yxZtHl6+A88MNj2BSQpfiw9i\nnsHKlf8BTr6F4Mm/On7xb0Eg8uRb7Eo+gqE9j2LOq51hSI5FYng2su/cRIbeqe+sPNbYnlpss8p2\n9XvLSrUHHOb97ip7k+9s/9j131dl32y2wAMJsJPugZ3GJnsHgfSwjeTEPYSmdjTnzNxxWNr1R3ya\nM6UDNO3k5deP4L13RuKJ95crzt3UKb87xbnLZ6dIQnaOj1Sl3j8U6+MuROD6rGEIlHzQoO9kCv0y\nGU0DHsIBJ0biyGdXDkdNzXZ44c1HgcxsC1kRvRZDp1TA8blPmJ5MuMDJO7r8d4wZUvgUJHlcGPvO\nWJzhmrVoTDugAk2NckGim5xV24MxWLlJzMAfr7+Bvh++gxEj3kbS0fm4NX0Kjjqx/wpsoZVd6ecP\nY5tYhs7VKkEX0AhvijRM79sCnb47XmB1p16wss2spyzeW2bdnvCa77vLDYy+ct7131du0Gw2wQMJ\nsJPugZ3GJnsmAZ8KVRTDzQ7Y0VW/4/Eh7W0bk52KW5RTKXeOC2LXv4iW37fGlIFBiI6+gF8pTN++\nBCPNXT+N+GS5ug6d+ocCkq8DnDs/VIAE4ZNrgLWdFds8gik4gGX7YhS7M26dAzQD8PDrK+VF6Mr/\npAMzAe1M3BI7cb+/pJRzxJ9C+envIDz8Qo6zq8fpbbvw717NTGoTdkHTeChe++5xZEbH4u8ts/H+\nWrLbkSlfv13CL1//A4Pb2D4lyduG4IFPA+tXIiwn5OatM/sR/HBHqylOjjMyr+70sG04NHBozk2i\nDr71fXDsimmFgX9IF7STqsPH/GZ1nBn5JeVhZ21XxQ4vW95XFNEI34cEgBY149QEF03FKcQ2pSGu\neG/lJ1ZATv7PbgEFXZat9t21NyH/mheXGZSjqM24FZb3lbO+r1zdJtbnpQR4AS0TYALOJ3D76Abx\ndm9/AWmQmLHuhBJ15BnpBXHGSrXh5ikxe2w/+gVrI177fKE4fjNLZEWukX/RbP+PXa6ExlPCIEpP\nia/mfCT6hAwWKyNt4sZYSbb3MEHs/PE9JWrMP0Inig0Rt1XtNMbsFc9IIWLi59PE0JCRYn0evUrE\nhHyhJu21Qb1cUfzM4flAHMaOHSs+IsYUnIPsvyymoIItP+qDg5YQl+r6ipOr1m9pR2eK2m/8YSMm\nXxtyrkat+1Qg5AXxxbQxoumo78QVxXCbqqU+UdO9543OFMWHIuDkpNTI3yjMZwi992aJ9ylc5bil\n9D51clJjl9euXBOS1SMP5RZw6FGRtrngvWV/g1Q+u/ZXdkrJwr67nKKwhEKd8X1VQlO4GhPIR0CS\nc7z0/oObxQTcmIAeCQnpCAryt7JRD3kWhk6no9cMOvAreomcPoXkZMO/ZlDRZa002X+oZqdcm/Lj\nkuFHenPH3O2XWvqSanbpkZGsh87fDm6lN8BKgkq/Ub8k6asgwM+qWGGHGcmIo/2jatq8HwqrUPpr\nmckJkBf32S7D1CM5IQGiYk37bS+VKfnZGVTtKpWSElZ2Z9tK2CSuxgSYgEcRYCfdo7qLjWUCTIAJ\nMAEmwASYABMoDwR4Tnp56GVuIxNgAkyACTABJsAEmIBHEWAn3aO6i41lAkyACTABJsAEmAATKA8E\n2EkvD73MbWQCTIAJMAEmwASYABPwKALspHtUd7GxTIAJMAEmwASYABNgAuWBADvp5aGXuY1MgAkw\nASbABJgAE2ACHkWAnXSP6i42lgkwASbABJgAE2ACTKA8EGAnvTz0MreRCTABJsAEmAATYAJMwKMI\nsJPuUd3FxjIBJsAEmAATYAJMgAmUBwLspJeHXuY2MgEmwASYABNgAkyACXgUAXbSPaq72FgmwASY\nABOwh4Ah4TL+WPYNnu7THpIkKf9bDhmL71btxg29PRK4DBNgAkygbAmwk162/Fk7E2ACTIAJOJRA\nBvYteh+6ao0wYORqtHvlK5yPuYnYqHD83z3RGP9YT9SpMAGHEoRDtbIwJsAEmICjCUiCkqOFsjwm\nwASYABNgAi4noL+EL0d0wlvr4lHvjcU4+J9RaKCzteLMolfR8tnZQNtPcfnEJDS0vcxnTIAJMAG3\nIcBOutt0BRvCBJgAE2ACJSZADvqUjm0wLSwVdd5Yg4tfDkVFVWFXMKVtS6XcpG3X8Wmf2qqlOJMJ\nMAEmUNYEeLpLWfcA62cCTIAJMIFSEsjA+vHdFccbvWfiRIEOuqymIZ58ZaCib/qGfeDp6aVEz9WZ\nABNwGoE8DwKdpocFMwEmwASYQB4CKXGXcf5iNFJTs2GsXAPBbduglp+Up5TjTg0ZdxCfnA2dzg9B\nQf6OE2yHJLNukO6aDtadfHAhQuddU6xY8MM4FD02XsVk8clrSKSj6nbYz0WYABNgAq4mwCPpribO\n+pgAEyj3BIyxJ/Dp6E7wr9UIHbo8gB59+6Jnl7aoXbEtvj54w/F8Ek5jwZv9oasYhFq1aqFatQBI\nff6Nv+Kyc3VlJCPDGcPKNrr7on+1QEX38WRHLYe6gtljJ5raETofI5pVym1TAUd3Ek0OfQGXOZsJ\nMAEm4BYE2El3i25gI5gAEyg3BOL2YUD9jvi/mO5Yse0ILt2MR1JSPE5t+wnD8TcOXbjlUBRpZ35F\n+2pt8MKsLCwLuwE5VoAxZi+G75iB++u8h4uKY56BVY80wdSjtx2u+8FqIVa6w7D4q2bAjs/xn9/P\nO0SX/swuTApLUWS9/tIABBQpNQV/7zuklKrTti4CiyzPBZgAE2ACZUOAp7uUDXfWygSYQDklcHHN\np9jaZxGyt42G9Rdwqz5jsEqMcSyVhH0IbTkCJ9AaCyPW4clgk0sq1euOKV8Nx+rXv8APu9/B9G5R\n+GRnG8y9p5rj9Ofo3goj5oSR7jay7jvYu+CmoiMly2oUvxRaE6JynH1pEAZ1rl+0JH0sjq1LUsq1\nbNLApg8SLxzCpq0Hccf/LtzbuSs6NatVtDwuwQSYABNwEgEeSXcSWBbLBJgAE1AjoKveBBDJiI4+\ng73bt2PLli3YFR6jVrSUeRnYPO1NyE5y768W4NkcB90stPn9/ZXDvy5fxeXf5uDEixPQwd9R8+Gt\ndf+FcYqDLqurgq7vf4KpX/0Ps4bdYzalVK/Xz50x1e/1ENoFFW1/duQJzIbpBuGBzk0tus8seh5V\nm7+A+Ebd8EDDRNzbvDaGLDphuc4HTIAJMAFXE7AeyHG1btbHBJgAEyh3BOo1bUDTPcajeWOrpms+\nxS3DJMcuYEw+hQWzjipKRvdvZaUs59DH9Frvyi5M+eAnfBnxX5tR5fwVipFjo7udVUUd2o549f/b\nuxLwKIpt/QfDKrsICCjiCgKJiD684hUCqIAXAqKiEkQQExYvBBUwKCDhyuICBkXjgkQkIKsEkSCL\nSHBhC0sCBJAgWyIkkEACTMIM1DtV3T3TM9PdMwlJRK3+vmS6q6tOnfrPUqerq6oRrEu50tPyFdVF\noDl8Caiv4xwWvTZUyUT7pL/QRl0ymr2B9k7/AlOST2HoPTytNc6nVMS1Qa2Q8NhlhF7vO/j3VbO8\nLxGQCEgEioqADNKLipjMLxGQCEgEiotA/k682PoNPB77Hd7ufCfsNmVEN7B6g5IN0Ik/2+FdWIJL\nQMCzuOtm4x3DeTMWjIsEwubggsdIe3GbyMv5W/eV1KGVtUOZj47UQp/bKeZvnoM+Ccqc//e/CHd+\nyCj9uzmEUze01033qXJ7C1ojcA0WrdmL0GcNHnI0BuSvREAiIBEoJQRkkF5KwEqyEgGJgETAE4F9\n895AXPhC2CO6ltyotWcl2rX9onLWvi1uM9jWsXz5isr9oIHYOCPM5MM/GrEi/mp1d2+LZgZ1AwW0\nFWQgale78i6oduOmCnPt1PbQVU7qCkwaOx2JebdgymfvoduttJzUcQAT7x8h8laJXo3hYsRcKWov\nVAL9AP7MVElJowLiZOepC1qC/JUISAQkAmWKgJyTXqZwy8okAhKBfzICjrOX8fRj9xoG6DmbV2D9\nEZsLHtq6cFyPe3AXbZW4Jbfo2xVWrn8b7gZN06heEd6bEjqwYc7roq6HhkTiQZrL7SgoKPm6URHq\nrBoXbccfiA2uh+s+3iHS0haPQ6uAIAyat82VpwhnDds/hec5ouvHYH4qBdS5G3BdUDfUHPQ25kXe\ngO53TMNJWrAa3//feAcX0SDyKxwd+3ARapBZJQISAYnAn4OADNL/HNxlrRIBicA/EIHKdW/A16GP\nYeaqZGTk0r7kFBifoQ8a/bL4XVx3fzfssrmCcduB1ZiYsANptF3hgK+KEcA2aIHnQmgEOeErfLNP\nm6/twIl9P2JkcA10mnxUSCBp3wGcoznZ5Sv/H35S9y6/8rpbITyEdnNJiNHVDZygEe7+5W/CYIzA\nvpfvpfrPYMPEGNp9JhWfhEU76y+SalRqjmlJMaLIiODh+HrhApSP3oI3OrdGcPfBGH95CuoH1ELY\n3Cz0ilmDg9PDSnxqUZH4lZklAhIBiYCfCMgg3U+gZDaJgERAInClCNz6/P8wK+wkXupyLxrRB4Uq\nV66MWvRBo7ZPjsS7iQcQ2dQ15l35jgcxVB2HvlTRazzaD1ZuwIiEnzEpNAV9mtVEQHAwAgLK44Zm\nw1B59FpcYHYkTe0C2maFPqrUHu1iZ+FBdXeXK6+7DgYn/ER1Hxd1t+zQgeoOwA1BY3BjfBLO7noT\ndwbyxZg1cd+QMGdbri1OM6l0rX8PwcmkOejEvsAzgz6GfdwLCO3bFw8HNMIEFALl/ov1B09j8bBO\nqExbQ0aOmAtlE0Zn1fJEIiARkAhcdQgE0IctXEM3Vx17kiGJgERAIvD3Q+B0+g6k/HaSh4+oUqsx\nWrRuhtom07PP/PAm6v/8CArGPlBsIPJzs5GfZwerUg31rq/mNt0mNzsTeRfKo2Hj693SeWUlVfe5\nvAu4XKU61V3Lqw6lUX9gfLk+eOjsOnS8om0gC/BH+kGk/3Ycp1EBdbADD3Z5FQMTjuKz7jdSVQVY\nHnELQi9Mh/2r3k5eji7+Lxo/mYqNOevF1B/BU/42PFy9Da5flIZ5T9yhsCn/SwQkAhKBMkRABull\nCLasSiIgEZAIFA0BB1ZFNMbMh9fj2zIPFMuw7sxlCGj0HfZd/FQdYS8aSqa5HXtoes3diENbfJj4\nGip9P42+froG4zedwJtt6rmKFezBE5WD4Zi9C8ueV3ZySad9028bkI3tFxLQynDxq6u4PJMISAQk\nAqWBgMnYTWlUJWlKBCQCEgGJQFEQsKV+iS6ftcb2mNuLUqxE8pZd3ecwO2wAmn78Q8kG6BwFZYMW\nOtlAU4w2KLiEfY6X9QE6T6V57Z9tmo3a97fAg79OQFdsxOufrkUMBfMyQFdgk/8lAhKBskdAjqSX\nPeayRomAREAi4BsBGgV+onwwGq47jJgO9AGksjzKsO70uKdx2wtNcfTSm859y0uyqdtnPIXWwxcp\nJEMmYf/K13CH2ci44wwOHTxGO69XQaPbbjWdglSS/ElaEgGJgETADAEZpJshI9MlAhIBicCfioAD\nubk21KpV7U/gouzqvlRwBucDa6J6qb3XdeBMZhYu0E7wdRuYzYn/EyCWVUoEJAISAR8IyCDdB0Dy\ntkRAIiARkAhIBCQCEgGJgESgrBGQWzCWNeKyPomAREAiIBGQCEgEJAISAYmADwRkkO4DIHlbIiAR\nkAhIBCQCEgGJgERAIlDWCMggvawRl/VJBCQCEgGJgERAIiARkAhIBHwgIIN0HwDJ2xIBiYBEQCIg\nEZAISAQkAhKBskZABulljbisTyIgEZAISAQkAhIBiYBEQCLgAwEZpPsASN6WCEgEJAISAYmAREAi\nIBGQCJQ1AjJIL2vEZX0SAYmAREAiIBGQCEgEJAISAR8IyCDdB0DytkRAIiARkAhIBCQCEgGJgESg\nrBGQQXpZIy7rkwhIBCQCEgGJgERAIiARkAj4QEAG6T4AkrclAhIBiYBEQCIgEZAISAQkAmWNgAzS\nyxpxWZ9EQCIgEZAISAQkAhIBiYBEwAcCMkj3AZC8LRGQCEgEJAISAYmAREAiIBEoawRkkF7WiMv6\nJAISAYmAREAiIBGQCEgEJAI+EJBBug+A5G2JgERAIiARkAhIBCQCEgGJQFkjIIP0skZc1icRkAhI\nBCQCEgGJgERAIiAR8IGADNJ9ACRvSwQkAhIBiYBEQCIgEZAISATKGgEZpJc14rI+iYBEQCIgEZAI\nSAQkAhIBiYAPBGSQ7gMgeVsiIBGQCEgEJAISAYmAREAiUNYIBJpVaD/yM2IXJKNa3TqoUAGw5+ej\nQJe5YsWKdFULDz3dHbdUCsDZ9B3Ya6+L+5o2hClRXfk/8/Rc5iEcOHEela+rh9sb1/WTXwf+SN+H\nP84y1L29KRpVK/9nNkHWLRGQCEgEJAISAYmAREAi8DdGwHQk/ZrqddAi6Gb8sewl9OnTB6nVbkLz\n22/H7bffhTsaV8eeOcPQv/90nLJzdM5h/uPt8UCzPtiez65iuM4gcUxnVOsyFisXz8RdN9dD+eDh\n+DlbNMKc79ydGBlcAw0e/wzbforDjdUrID79gnn+It5Jj3sJPeL2FLGUzP6nIuD4A6vnzcOXn3yC\n9UdspcyKA7sWv4eeHTrgpRkrcdrv2hzYu2q+4PG71Cy/S/0ZGc9lH8XxfB92WBqMOU7h+8XzEPdJ\nPLb48gMlVH9O6nrMj4vDrOXJcGg0C87gyJEc17WWfsW/XAeWIC7uEyzdfvKKqVkR8EeGOdtXe7fd\niqi8V0wEXHL3bfs0AHXkCPKcyljMKg2L+eeD/NEdQ/IWiX9rXSO/teWHH5C0eTM2b96IH+jc+bdx\nI7bQ37b0HAt0fN3yT26+qBT3fmnog4uXktf3y9l7sCSO+pG4BBwvaTtiPo6DswcwBHRjyfbLHjlt\nLD60NXs/5Qyl29gvMUPYv8JnsRMeua6my9x1wxjKjXLyePnwatYL1zCETHOmefFr28+GojyrGr2C\n2fnNgwv4UwjD1J+9shYvIZtND6rGEDzJnIfiEf4LlLKxfclp7EKZc1oS9eazrfFvCV0Yl3yqVFtw\nMP4FoR8/JYwV9a3N87RFrXrvdh1Lmq/oeInpq1ZXSf4eYiNRgdo4jZUukgY823PZz/HvCFzHbyqb\n2s8c/InNDK/HcI2rvftiuiqyzXHJtiArnR3IuWjAdNGSjm0qCx0wkqG3PhZmbGFjQ6r/ObIuGmxX\nQW5v/IrC1InkJawTyvnsq+xpXwnd6xa/uyjkDfMa6axvH2SkO4bki5RYVrp2Ki2VHbO57LZITBYz\n86Ws3Wzx7BmKfNGOfbQogS1atIglJCSwL6cOFvLE1C3FpK4U8y23KyJvUbg4+uC/rZSEvnvK/FLO\nPvb11H6Eezu20bR/tmiyxS1Y3BO30mKfEkH6ZmfFNpaXZxP3jsS/xF5LuprDcvfWpcS0FcobKx4s\n+D0bSwirL9pnBqzW/k2aEdoOsc+iotjitNPuxIt5dVkL+inwn3XwfDGp/EWL2XayDuXGl31gVlL1\n2neLAHhKqQbpuezjoOqsaewOEnIuS0n+zfyhxrBd9DAdUpsh5socdulqmI1toIf8wbG/lG41ptRt\n7IugGqy0H7bcqk+bJYL0s2riiU1z2LPh01m6GAlQEvOS3mNR60rCv5aFDhjI0FAfaZxjdm8K0mcy\nre1uuMgLFwIm+Lky+DrzU+45u9lbYeFsnrNf9EXX/L6xzvriw0B3zKso0p2y0LXE8OdYou7hukgM\nXlFmwjW0Dg0yfu7VJ/C44l/hXysDi8Wuw5fcik3YR8Fi6ENRbKUE9N1Q5hQPdApoX+JBut/Tx5k2\nBbtgN8a8fw4fjG2P+m2fw6OOyji5eQUWbD6EgoLr8OzLfdBIpXo5dz8WfTYHm/5gaPFoZ9yWsxHt\n+7yBQXPW4LEL6chAHk4UNseoYV1RMXMrPl/8K86ePYumzw5Ht8bnsXTWYmSctaHyvZ3R6sQiTEh0\nIPz1kfhP09rizcXJ7Uvx9vRvwF/k3/DgMxgd0RXXud5peJ1VqfMApeWhahWtMXRZJcArnyvhGBIG\nfwv0+QD1c/bg218O4fo7W2PgpEmuLAV/4PsVW3Fju4dx1/WVXel+nm2el4i3FsVj+5PPYcaSnRgw\nivP4zzgyflyKH1rWQ5Uybm7J1avTo1JrQ1VUv04z05poeU9N05qM2+VAIb34aY6y4NWUNR83KuGh\nYTPxkI9cpXdbwahy+aLbb0nxVK9NX8S30VM7h2/fm4zqEwfpE4t5rulAMYv7Vcxbhsb6SOubCs8J\nilezRvrV5FLOZIaf/9WS36huOqPVRaZWc4z56hPXdbHPzHRW0z8ziXvrTrFZ8ChY6rqWuxXvfXYU\n/5vpUXGZXGrzKgrBJ99y73U6dQtO33wf7rj1Pjzw2xwxNbJesXnxJbdiE/ZRsOj6UCRbuVJ9N5O5\nQ5FHeTM199Fq09s+HmmYGEmmIfz5NIJ3+HAaWx07hIXEuE/1OJ3yA3s38mH3of6sH9ndCGAdYtaw\nbHrFKV5nBwxk38e/yhoOi2PrF32gvKqhqSZ8RIW/vvk88nEx0i1GJu3ZbH38DOVVPY0yPzz1YzHt\nRBuB+W3RSJH3k+RjzJG3n41HRYawOUUbnbHvV1+zm0w1ydvhrB9Bw9iydQlK/tBp7KgK3IXkaYKP\nYr1aovoHB42maS42tij0epqK81+2z2takbeELqYtZT2DQlhISHc2IWYi6xESwjoGBbGhMd+5RqXt\nmewrwrNdaB/2eFAF1jnqK3ZMHaXj5R8PCmYPhk1m38a/Ifi/h6bz8Gknvy16i7UM6s6eC21FT+jD\n2PcHtfGufLaMy4fufblpG/s8/GGqP4Q9FPom25KRwdZGP89a0HX7kD40IqObNiD4eIRodScey7Ne\npA8XqL1ro59QcCPZ/ic8jPWOWqDKzs72Eg93oyULDb2bgejv5m9xaNrR2JBWgrdpi+LZ8wgkmqPZ\nZrMRDNKJ98I6sW5hw1lEWEd6W/Is25x3wbTe3xaNZUGEIZ+yxVvMMeKYtggaSOW0V5l2tnPRuyKd\nYx8Z2Ve0QdHXo+zD8Ag2nN6yvBg+haXSm5fLB5dS3cPZyzRKFZ/Gp4WZHbnsu+h+rDnR7BvaQchl\nB28Xtfm9sNYKTnSvW9ibbLv2RseNlBWe+eyLkFqsftRH7EOSnyazzVm6aRSGMnKrwHVBPPFRt9ei\no9jAyPeFvrraOZwt3pdeZL3bTdi3CAlmbSK/0tmvCSZM0UMuq7DZ/O2CjX0T1UvITrnmrNL0u9hX\nhC5yGfFX/j1jrd4kKBg9NfV99kpoKOldB/ZA+GSmx6g4dqEvz2xH2Jyo54SMQ0NfZBOjyF+qo8kX\nSU+4PbZMf8zkAAA8dklEQVQgHyPkaz/EJgdVFXJvRvYbEdaDvbFoj0sGBmfm/PHMSvua696mnE37\nnr0a0kHowzORr5GOko2QLb6QeIzym2HP/QOfctWSvRK/li2MbCDKvJ10TKS7ZGilj0zpU0LeZEtm\nvy7qDwpqz2YkHRKt0nzTXeR7ViYtZv2Enwtmz0/9jmVl7SAfwHkOJvlMZ/s1WzC0dc1mBVnnP5++\n09LPmPgmK30zsS3N3/B2fDv7DQ8crPE7f/B7NiSoMvn2UMK/HftkE5eZcnC5vkL6y2X5UFiY+G3n\nQ/e5X+f2FBHPdczcz7vps1ah9mups9Y+iGPh0h1OsKj2y9ixpC+FnXNMeN/xzjpFn0T8YqJrvKaL\nh9ezwaRT3cnGeLnXE3Y6R58VGbWn/uk19k5UhJBRy6Bn2aeqrh5PfE/gy7HuFvYi+e4X2fLD6uRN\nC7kb2Q/npehHvjqSPtM5kr4xsg17KUnpf7MPZyhtEbwYxwJKnblsTQyfIsP7XNId8kObxTQ7a7kZ\n8qvaD7fp8bNnszdCe6j26u5PffkYvT5cia148+jqPxR9Z+x08tcinnoxMpL1C7mWYo6ZrjjKg4Cl\nzGk0vxNNDV+wbh57To3JniC/pUVQjKRhGNt41OF56cd0F5qTLgKp4RSURIjAW+/snQT561tyGFpA\nc4QH0bq57Cl8ziUFSvogIzGcnHyI7rUnf11AHapr+oBdDV5HCdCOJS1nK1JOMpazReQLna2bQ6fW\nbzZtxcmn7uTXqV1E2943m65AoItgkNrlnO6St1UE7i3UB5VLOTvYOyTc+GJMf8nbNI21j+GBBmMn\nEycJXlxt1zHqdWpnx9cpDoIH10IJiA8+dx70iou7iQvJHwl6sw5foit13nukOq+elOV3tTx/sPll\nNk1povmxeTYFf0xVeBJzoenBSntwcOSls2khNQRdJehUnQTpx5hExSluim4i5psqipkrAkSEz1Gd\nyFHxMPWfRfuZ3Z7Hfo0h/MuNZwdo+pRzCtWil5TpR2rwncxlRDrC21RInbR4GCO9WklOmevlx2nG\nU4TE1CbnnDwbWxjWV7ySNKuXd05ro+93Bk7coH5fx2WizTGzs6TofxFvFLSr84T3xg8VPGgyO3Nw\nhdDL2lGrVYnli+lUITE/Op2oekP3Qw9oYTQ/OfJrp2MQdMv9lwL9i8xGwd1HITXZNVNXk3xsitPV\nldZOrdo1N6yu4HOumE6lTJ9xrakwl5FG2/P3vNrOytHr1VvUzvAbWAtqZ07yTFFXUfTuLGEvsHXO\nSbfC5DI9lKeLIFbzQw5bpoKhGoRePEhzbEmvNOeYlfBfVjHafWDBvU2qHtN6FfFASCgnx/YXeij8\nmd920ZItEg+1HhirgwF8XYvgiTpNYUdO32dnp1O+dtM13ia+ViWKgo2CvDx21qabB+POPMU01nbr\nFaRTfr4W5xmyQ35P6B/5gSNp6+mh/KSFPlLgaydZqX5zQtI23VQqdxma6yMF6XydE9lu9/idoiVZ\nieNE35AqBijs7AR1mvw+X6cjpv/k/CzsivcnP4mHy0w2JaAy+7d4SGPMzNY9YVKufftOMz9zxMQ3\n5Znqm4VtEY5rpioDFUY4mOF3OeNHgc1w1d+eT1OwSsy6zPKSPxf3ZtBDEz/O08MfxzFE93CmYOD+\nn9uTWBel5nP5eRN9di+uXtmZuc7mM2sf5K47RbXfHJoWxtsZqw4OLQq5jux/kvCnvnRNxCCUV4TW\nh1cIOso6O2qW0PUnRdprKqYnkxT/xvs7u93OlOt27PvDZ6kPy1P9s7Xcje3HEFQfiVr/y4PrPqxn\nSBXBq9YfaYWtYwEbWxnZiPAapTz02ncKGsqgoy+5aTW4/xbQdJJxQRTsir6SPyzns5VRbVz+lB7C\nzPs8Jb9bf1BMW3HnynXlru+ZIqZYQPYjjryfWQ/yO7phRldBOjOXOd2keFFb4ygGRGmgmuvllGRl\ngM7Mf6iPdW716C/8CNKVOenOhaM5P7L+zs7ZRepCCncQriBdOF5ngMOYWBjlEaSLp1z93ET+JOIW\npCtPcohc6hacXFCdEWhkMTY2hsXExLIPogcJQPydV3py3WSRP2aTxZxPDfQw/Zwv7enVtejLhUJR\nzuwskebDD0/cwzLoiffYps8EP9dFrfCLiF3F2/nwQKV40M+VYu7hQnozsYXNiP6C7c7JozcZ6WwZ\nNxJnEETKJsqDLcxQRlRtIgjIZSti3qa3JsdZfk4m25nAF0ZqQSpnS5WHbhGipwyzEkc5g3R7irIg\nKWrdAQo0cijIzFEcAj0s8CMt9jFdUMxTlM4XhMFpWx7LoeD9+DrqwJ16Rdjr5lfbLQIX7Q3QpNkL\n2YbkvWz/po0sXR15866X162O8On0UcNYBGqqwbktLjSYk7596gPC4aULisqbEuVcJHj90xaxTE/R\nPWyodAeKjljBXAtIvQjoEozbpZQPmLremVPYovoA40tGzkIeJ0o7x6tvlA6xV2n0hbezeHrnjn1x\nMNG36aK6zuOp6I/ZN+u20RvAVPYj6bT5oWCkzPtXc1FgzR/Qm4lRSN92wfXS9dCi+jsVY7H4nnRY\nb6v2lI/c5qRzB+8+n5F4EvPkrd7AaC3yzR9/m6LpkIJvS8YDO36Iebv0kM4fIHxjr8lKyU+9ltM3\ne/oCY31Uy9NDqPbwr9mZc4BFfYjQOjet83sx4ZDgl/shvR+wsnW1gNuPVp9eHnrf6Ulf8TPmvumX\nnfOF3/XUN1+2Jfi2wMEIP1GGgp8tWWdZDvn2fPLzPDAYvemwgonbPGR/5xR7+hgFXzN9dgPT7cJM\nZxX6Zj6Ik9DrTtHsV9UFXb95YtMSNnORMiLuC+Nj675kb8X/Qn1NjnhI5TavD3KFDNzmfFO/zQcX\n1b7UM+7hbfFL7lReeWB32Q8vW7SD2i7mpKsbX9AieB78jtYWwFMfepr6SEufnLFa6K5rbWE++3n2\nJ+xbMejoW27G/CoycfOnaizF/an/PsY1gOtLjka2YswbT9Xru2rXoaPZ3IREtuvwQbYx8VfnAI8R\nDSOZi3xqGz39lqJP5v5DG9g2qounaZNdKbazPhx8l7lq9Ff5Jjz7CG2c7uO4vk0H3I2J+PerX2D7\ngFoYNXwVqkSvQivaU911nHedqmc1oL+vJDZv0shwL/PIJ3ug2701YRc7t3VGz0GTcF2tWl40PRNs\n22ehXscozE45hedbXodz2Zm4WKsBanuiYef6S0eVqsqv2/+KVzbLt2APPp9bF7e1XIFZWwvB950f\nHFIVH0+Zh83juqKNG05uFYsLbbO6AH5SSbtfKE4yTuSjXJsmuLXibLSoPQADot9Hw737gdounpXy\n7XCT2uhKlXjja6J5i1p4sfVNGBs2EoPqbAcCqsNT2s0r6SdducuwVsObgd3Kjvp2mg3Nj9QFXyBm\nWy0UFtJ17XC818xglhyfzmXLwFZ2EZgchQ9rhlFCIcqdsePNmKGoU1nRi8LTl/Baq5s4WQQKnsWp\n17+mz07EzO1DMbT/U8q9gIH46WQb2tNfzzvd4vU65e7eFg1jTsB2bC//QeXyzsxU1oGzNOCnP+4O\nGwOM/g++3D4GI8/MQ+aIvrhFn8Hj3G7nGLVDy0a6+dDq3Lbfjpyle9d7lPDz0q1dwF2VrnUWJISd\nR5Fk5CwF3N1baWd86igMv7AQ217or7Tz+uLoHSfswv5KMSl/a3dsm/0G7u0/GAtVniesO0QoWx/X\nFOokHtgAD4dUR5xQYd92wef931LDBGM+B7vco2igs2ldTaZMcZqKgnJVcyAwUKd7bqV886fPHnjb\n/+F5pGHSd7vQ+flGSJqzGniht1gb4ht7TonLin8ngw7iycWVS4bKTd1/N32kfO2a4oZAxaY1LFx+\nhtvVXbi3SXUnAW5n9zZR1iLxRGWdhXLbb1tXqWn1mflONK4ILz+Tb+6b6jXvZqhv/3e9L//nCweV\nYf6j4pdBWyWCXcCS2bG4lvwpo37j/6ZOQ6s6Z7Bm/Tm0632nTh7anGIdHT9PrfTZioSVzpr5IIWe\nS3eKZL+OTOwU7W7oZKtem8cxxLm+wxrjuk2bIWDGINQOa4jJHz+m0nBptEjIKQTXGcVDB+L2f3UG\nPluPtPxItHbW6jrx7VN5W43sx0WjaGcVFd4Ca+JffcbiXBWF//2fDse8B6djwj3mPtl24qCoqv61\nWhBRFQ88H65Wr6wdsZabMadcD9z8aaXG6BR0LfaRSfjvY/S0reWoz6nZilua6cUNGLxrIfYF9URY\nwlSR676oBUjsfL9pCasbRn5L5LfwH1psY0bXQxvNspFf0GKbSk3QyWkAFvnzcnEh9D1sDquLLTvz\n8HraH2jftK55AbrDMvZjCS7hPp2bMSpQ6br6IvnkxWpo0KCxM0ve9hVIyuuAR241X4rIjnyHf92b\nABpFQufrlU5i1YsvofzsJQitFYDC3Gycr1wLtXkAWO1mdA2tiSW/ndYZqVqdarjce2Zn5qJqg+tV\nI3ayY3mSvXoeLsZ/gynPukI4W6dq+Lj1EMz7ZSradGhkWV7cpADaKRdKCCx/vUiuSM3/YUQrPDaj\nJ2huNFpQcHAs7ldMnEOdT/Zu/JJ3E1qp1PUdlW37x2jScQjo7QKGtaFAOn0uXo1ZiICCo0jay/BQ\nmzpqKf9+NJXpOuotDL7VtYDp1JFsNwI83/aP3sKZvv3RgmS/J3Y+xkU0d+a5TA9RZ5xXQAWnQ9El\nepymzluOoHdXg80sxImDmzCt2aMYuHQo0iLudubU6s3tOwYdSfYBhe4BN+AKZytdpzwYuMX4FKB4\nPlQGNOgIGs3Ak9HjkJVnw6sJdznrMz/ZgN3H84iHGkoWoluNHlazVD9uXs74jnu7vPO4giE4HzR9\nyciTSkDjdqBRHPT5cAYuX9iL0TNGURZHsfTOk7ZyXRRMHMj4PQVoopS0bY/Hdze9RG8Jx+NcbibW\nfhiOni8vw9CdIywXlrvQ4E3Jxi/r89G8Bz2gFcMu9BgLrthunCpguFEN1IVttFD4NftfkXRA2Cdp\nf9zIL9Ft+nAYPN4Wnb/Aargz6CHUOLAQg/qeRvXec3Hiha7C6yoBbFGwN+Pele6uj4rPha8tnAOu\nQ1XdcyunFmDnkar34Y+te5Uy9Z2uLtHNz1RraOqbTuyYa6hvg75SHjIsbcsXDsS4Hr+69WlrhHLt\nMGLUKJ0unEF2rh3pQZXwYZbeUwZSKBiAPV6NL3qClz6bkPBXZ63oFcl+A+viFmr3O27tpsfII+ko\nbHirwqUZxgUHENHwASyOXgb7ssdI/88hdvArOFPegdP79qF806aGrfzjwFpSxv5oXI102a70EaIf\nzt6A8UuvxdgHlGKWcjekXPxE7cGzYeeh9ADOjwJs+8GBh/pXIZ98i2kssOe8stVGrpttOXAkPQuN\nb1X0V5BT/1nJTZ/P69yRgc0pF3TJxfAxZnLUUdXbCu/TfR6OA4iZ78BnzI7Y/Fyk/zwPzbv0xqqI\nHujT2KS1BjKfEHGvUpWB3xKjgBb+Q2+xRvy6Iieju5R2gQcu7DCOZeSb5FCSHReUUYOLqh8NqFIL\nNy1fjuSTDI0bV8Op3ZuwbnMKcnR+1l5I7O1WynEqW2bxjp47Y2UkVhk+AA6dPS8ejsRNfp8CBJoD\ni/m938eWXDWwyt+GXq1Dcbm2h2fXCtHv5eytePLmUOyiECg19g2MGTMGb0Q8jid/D8I9XKAksFdq\nN8R1939Ae8Dwoya6DRoKrI/Fr5mXRQo7sgF9Ek6h26hHRIfvSP0SdRvWRZdPdor7fv1z/I53Qt9H\n77aN3LJXDuoImleOGTOW+/fBGvYtkrZmqTTOYOn0MaDXcHi6ZQUc+IFaMDBEBOigTn7JgG8BGmz4\nbc2XWJNpdwZnegYyU7aJy+Z3KQ9T6RtXiGvbiVTErT6sz+o8t3sEtlm/Uz52FjbKEdgyFDTXEUNm\nJah4AtmrRuP6N35ylkfqWfEAFHA2h0LiG9ArNhT7Bk9yk+s99QbhiIPLmUaGUh3IPa/ph4uM11nh\negyaTe0JrIT6TdvjifC6ILfryqarV3NwlevcQMP+Cj88Y/L8KaRsiqMKaNwGtBUiIj9cJdrG72cl\nfS8eKoUR8gRxVMKjL40DEmYg9v5n8SB35BZH5ZZdQfNr8fn6nU4dz1i7HHFohvGhwc6Sfne0Bu1y\nElFPLtCHc3BGcQ1+yciTgLiuii6vRAGfRuH1Kj3RWTjEgmLpnSd5vzA5fdkVfDgOYen7J4E9h1TZ\nXMT4hz/GMep2q9a6CT0GDSO5+taZPVtTnbLN/TURM0kz3wxtgeLYhR7jO7sNJJuYh+VbM9SmFmDl\nhxOJpxM4pTWeXgeeYqdR6PSPyijohM3HKEc+0n5nIojWsut//eXPqUOOAvIv1dCiSy9EvDQAve6u\nj/wMxY/4hb2o3OW39bx4nZvqo6u8ZpXOR2L7ecJiA47qOgv+MGzTDFWtZE+BmuDL1r2YogRT38kf\nlI38jLlvOu4oNNQ3/2zLAgfOtwd+TR8jXbr8NuZsPM7v0lGAxT3uwLsHKqDd6CdhGz8NP2l9Ym4q\nlq4/Szs7+Xc49cMgu16fDW6rSf7rrDW9othvTWp3X2DcMHx7RNWggl3o0WSE2mdw1kwwtudhJw0K\nvvLIg4ptZSZhMDuPcxl78M0n36u+4FogZQfS1Y80sswNmDD5OEJn9cCNRLlSfT54swG5vMM7tB0H\nq1X3r9/T8UQl6XAgccSNCOgwmfyW/0eBeNvmNrxAhQuQtngSwr5thhbVfPhkBIPWPGFC1ByQBxXH\nmR/+h5vf3Kxeuf9Yy8097x6nPwaOLvuS+jSH8Kf++xh3eqZy1LJ52IqWbPYr9N2Wh6TJvbAg/SIq\nVquFuzr3E/1xhfLm/baRzEUdJn7rzHnu1M39hxLbmHFJ6WbzYPiHfsSHEGjFL1/5zbPyhTvO1cu6\ngtrijKAg2nGD5svxxaHn1Q8kgMo6ywsafJcNZS4kX6X+PN+lI3QYrUhvxR6jBZhKnbTY5aPl6g4H\nLcViVV73KnX+tFJ1NlsQ9Yjga2AUL9eSdghwrXLXsec8TYmh+fXEA991RrSH88P/aM65Mj9M3VWB\nFlG5JvPzBYWdKV9LsZMKL3tf1FLnnCW+MwOnEemcL+mszvCE7y6gtRFBo5zzMpn9KPso9B5aWR2k\n8Ee7iri3152cMi+K89+S8d0Z+gVVIhwnqwvfaCHqug8FX23Dh9NK41An77zOXTu/FnVwufAV7dHq\nIiS+IPfVIFp8Qju0jAjvyZ6OmkI7QFQTdGI2HafdXTjeLcX16wlbaeEnLa5T8exEq5i3ip0fVExD\npym7yeTtZpNCa1G7nmVRtLtFM1ppz3c+4celrJ+VRbi0EroJyUBZrMH3SFXoDqMdRPg83U+Sad0A\nzVMVvKkyezTqG52M3LHhV5qs+cr818M7iZ1gtqt6Z1wvFSJe+S5Et4WNZm+I1f6qnqg6zWgXCdGW\nkIHsf7RriNB3lR/X3vu8dmUxCl8b4NdBC23G8g+8EO5ilw3S9cViNxibirmCKdc7l156U/Zul1be\nJTMNWy43bUcf3m4zGXnXokuhHR24/eoX7xZH7w7G0yJzVY+cbTTFRKlfW8A1kHbT4Svp+Q5GnAZf\nCH1SXbzanPCMjh4hdNzaN+SyWbSwOJrWtTQlX/S/yJ5Eqx2L43rHjyLahRHGfAcB7ju6Rk5gg2gH\nBbFzEee33H/Z7kPfKwuO1GvNPviuBrxNfFckS/9SBP4i+GJN2oFBLHDi9en/tF0NLLDXZCXK0e5K\nGq9auuYfuZ566yNjhxMmOeu8JewjlpqifHBH+GTyTXtV3yTokx0sSUlW/eI1VI7v2rFL3aFJ0enI\nhAOWti7k5/HP0nda+hlj36QtzDPUNxPb8oUD37nGCD/elJxNc4QutSXfxvtNvmOWsqxY+agg112+\n+5LTJkjGN9HifdHHeWBByuDm18ckprldcz9vpM9eZNQEb511p29Ebzft+MblremOtvjcEE/Divlu\nMEMEjafJH/RCEHufbNc3xrRGinaG4no1kHZvaRc6nNa28Q/SKL6RY5oWqyxy5ruaRVEefu+5WP1G\nANnqoth2LFgfo5jIXbMTod86++FyEAs4rT6sqGs7XzDsjCOIJ77bGN/lLZR2t+H+QtBXN5Gw8snC\nfqlfmxZK39Ig/pU+ejTFEReuQA/UufLE1+20u5nof0kn52n+lLfDDx+j6cN+Hz7DylZ0kKmn7vr4\nBs1DFzEo7UYzLDqadvqpyh6O/s6yn+UbcSgLoV0yv5i2QOivwJ1wnJ+cxCbTbnQIUvwW3wGLy1iz\nJbfYxptJtxTTIN0tV1Ev1M47ap170HyJBMODIPcvm9loYWMGO56VJ2rRdjKw2MvAjRuHLZdlZWSx\ns/4WcCvt/8Wpg6ls06ZNbE9GyXzEyP+ajXOKjoaUgT8QFeRkiUWW3jntLI/unc5TwLFb7A6iL8sX\neWap8qBlMLTDiP5u8c7daepp2FhOVo5z8ZnzDi16ycoqvlx5W/nBsXG1xUmdTkzqJU44ZidzeHk6\npxX7Nlocpz8KcggfWrTFDzvxqSy6tYsFwCKIphXi3ULVBz99QR/nAiOi616bj0Jet83a5ZXRK8Fc\nRl5ZnQkO9cNmzgRxUjy9c6ehXFliYudtJf0WolJ2CBKiIpkIORRDhxxC9w30kdhxx6c4dmFX+eUS\n5rpFu/V46JYnBly/coQuet7xvvaXv41RNzF4LP4vpF1DeKc/97BrAbMl9t7Vm6QUXx9NCHol+7Z1\n9yL++U73Mm5Xnnrlh765y8aNmo8LM/xUXVJ9uxsRlT/lgZ7sgvv9K3MqbuR9XRRFZw1p+YGnYTna\nBaQ4fQbnl5dT8KKeQdfhaQtHz5K9cl9jFmfkUZ9w1qCfLL7cDVt4BYm+fbLCa84V1KEVVRZmit2X\nhEyM/SnPXTI+RqvXzFa0+8a/im1Y2JNxMYoTjGVukt2VrOqbmS65MipnAfyHov+SPWg6R//yd6D6\nut8R4za3+g+8GdAEyYtS8O0Td5Rsnf8warmbp6P2/bOxKiMZjzbQXhj/w0C4mppL060Cqt+HyWkn\nETInFImhK/BmG2W+39XEpuRFIrDj7ba455cBOLH4BdQLVPDI27cANZq9hbU5u8T6jL8zStJ3/p2l\nW5Jtc2D7jFC0/uJBnNgZpVsDUJJ1/A1pOY5haoU7ETVlJS6Pav83bGDZNql0gnRqw8nNX6Hz/f1w\nLmwUxnS5F9cc/xXTR09HVuQcbJ8eJhX+CuRs37cQvXvH41qaI52ZchmRyz+nL7Saz8W/gqpkUb8R\nOIWPO9yOIevP4PGYH7FkWDu/S8qMEoGyReAM1s74H0YOX42bwoJRLiMVB2i5/tjJ4/F0m0Zly0oZ\n1yZ9ZxkD/heuLn3eOLyw8BBurHYe2Tf2wzeTehRpc4i/cNOLzzrtWjey6zAcaNgANfIzcd2AWEzv\nfnvx6cmSNEmyNEbSncAW4I/0gzh66jztQlIFNza5DQ1ryWDSCY88kQhIBCQCEgGJgERAIiARkAgY\nIFDKQbpBjTJJIiARkAhIBCQCEgGJgERAIiARsETA5xaMlqXlTYmAREAiIBGQCEgEJAISAYmARKDE\nEZBBeolDKglKBCQCEgGJgERAIiARkAhIBK4MARmkXxl+pVI6J3U95sfFYdbyZNr+v3hHzvbViIv7\nBAs2HiweAdNSDvxBn6bOKy5jpnSBkmi3BfnSuUVfKTPD4kzmERw5kun8QI4bA45zAseMbOOPhFmW\ndSP0d7jwT6e4Tl+pXVydaPnXft+8O7B31RJh90u3a58m8V2qJHLkpCqy+WLxtmL7LL/4oA9xHTmS\nY1nH5ew9WBI3j3BIwPFS8FN+8fk3zHQu+yiO53t8UaoY7RTymRf315WPHzpYDFiKXCRv32qM7dsJ\nTXtMwJZsI7mUlF8pMmuyQAkiIIP0EgSzpEhdU6UCcn99DQMfT8LZYhINJBqHlr2Gp//7reXXS0/v\n243j9Llyfw/Hvq/R4OabEbbQ6vt0/lJzz1cS7XanWFpXfEH0PqyJe4u2XayNacmnPSo6hfi+9VAr\nbBo+m9QPVa4Zhh3qF+t4Rv7VuifK18QLn3yJ1zvVRZ0x3+kCeeuyHhX5uCzA/u37dLR9ZP+Tbhvr\nlDfvVevXQtqc4Rg4rvh28Sc10VltYfYh/EafcNcfxu3X5/D3PBDVa9mxov9Q9Fqb7m+hEskXWL6C\nkM0L/9tYbJ/lDyP7P+2Dm2++Dhu0r2pSIS8fFhgIR9Zq9O8/HYdt/vs2f+ovah4jeReVRtnn97Y9\n4HdE170dN/77Q8v+xB9ey9WqhxqnNpB8xv7p8tH4NZOTl25RASMd1OiU2W/2Gtoy9VE06fMC9ie8\niX5LvftjI79i1s4y4/sqqchIrlcJa15syCDdC5I/P6HGrW0xZMQkwUhxd0Cv3rQ9+vV4lGhUhBWN\nrdPfwW7+SWM/j8B6rfBWWDieadnIzxL+ZyuJdvtf2xXkLPgDK+YtR4ZKorIHwJsndkdY/ru48EMM\n/vfJGqRMT8c9Nacon3suOIDRDR9B7YTfsHLSOMTtOoaRU57Eo3HbBDXLskVluWA/htz3NS4UtVwZ\n5zfUKQPeKzS4D/2e60LcWet0GbNfpOou7luG2Tty3MoYtt8th/8Xjdr0wOMh9Gn7Sh5K6T+JYuUU\n/qYMZFOzzdN4Nnw6mlRzfbbb04eVq3Uner88Ep0CXHmK1agSKGQk7xIgW7okDGyPf9b8PzEDMXjw\n/bjirz8E1kGnIa+SfK6YUonhYCYnT93iFRrpYIkx4iehoxsWAMEz8UznZ/BHSgpWPhvsVdLIr5i1\n06vw3zzBSK5XbZP5FozyuAoRSJvFcM00k085+8ev9rU07UtqXqXoc+KdAtqzTfbLXrf+tIQSaHeZ\n8W7fLT6vPiX5lKtK+qw4/+T6lOQzrrSs1Xw4jy3MuMiUT4i3Y5vzXJgLOQVPoy8DWpd1EfTv7Hji\nOEaO3PklPf9KXR25zHhXsPprtokx5XPZk1NcX/UsebSVr/01j9lS8qR9UNRkY/z5eR+Fi3vbzIfZ\ndiq+jb7I/OcdZSHvkm+dme2VaE2qfDbq/GCJ0i8SMRM5melWkWiXTub02MeK4dtN2lk6LF69VK9i\nuRqBZjmSbj/yI4Z06IjQvj3RKiAIbyzfpcwFpNHASX0jEDVxDF4cEYP9DgaW/g0G9Y3EK/S3OP0C\nLqSvxtDgKmjfowcCAtrj083HASo3rsM9CAoOxfTF89A/oDwCOryGLfzVpeMPzB3Ri/KHoVdwRXQZ\nM9d9PmHBUXG/ZYcO6E51vD7iOaIbgICOX9HrfAfSFk8SPPbo0QoBNEdrj256gdsTkk8eHiWeQtEp\nuAKemLFWTBX4dcarCB8RhZcjRuCb7dvx+YhBGDNmDMIjpmJv9n68F8GvB+HpMQtpfrJ5Ow4uHkc8\nB+HVeeuwaERDwf87GwkXflD7vhrTDy2o7h49wvG/OV8DLSoq90z/n8HKic+LMs/16Ih/952CnbrX\nwMC1wPoYjCF+e5AcQjqE4bONvwtqGaumIaD2/2Et+xFv9Y/Ac1Tnt0eUIXVTueMcEkhGwcHBGDRv\nr6DD28Sv20a8jxVxY9GB5BMcHIIP1HpEJoGJN67iXkm2u7h6SYxYykYwavDP4aBX+56v07U03WTY\nag1AgTt2n8hDwXmj1xYkp5S9OOawq/SMyxpwAOQfwLS+DwubGETzEwPK9cGWfBvWTXwSjbpEA7uG\n4qmIvopuCgImtqLaBZfdm3FxGNujJ8nybpLrFNd8R8O6PNuvcOm/zczB1246VWDBO6dNWNXORmLc\nG8a6plTv9t9cn92yOS8UnQ5Bt4govEt2zXU6KLiP03Z4RlOaJv5la3Y6pgTfgD4JpzBnbDj5yp4Y\nu5jbkLdNcfrHN87BwwHXCP/Jfe+7P/wO+75vyDfejeYdhmMHn6Im6uoo7G3ePvP3JQfJN3Kf26/H\nPeTbhmN1eh6vwtofKznc/pu22S2X7sLSZwMZP3xObQxCGOkn5+9LdR691k7uz1bMGyv8ZOuJ3yGP\n+hje/pbBSvutfJjCRTUc+eVr9CP5dSIf9eTbK6G0XME8gOqcszkZsyIeETJuR/3G1sxM0r/+4P0M\n95fzUz2nsunaR6emmNBXt43l7V7eeWXRbzjz6E44Ro8HdyC+QxFNH6bqqbbxpRkrXdNRLGgaY7yM\n+hNjv8FtoiX5g/tHzFUxBC5n78TkHq1Ff8n77NYTl4l7Wp/wQMQX4prXxfFvGfwi+SZjf2GKI7W5\nSL7ZwkcZxiQmcjLTLbuHDmo4cptM3LjEQNcUofH54yMpluK+5FmKJV7hvpril4Gr1P5fJ1vl1Lxv\nz9r4EW4d9B359liE9+1LcdlvXqW9/IpJO3nBnO0LhC6FjxiB5ztUpfjpI5cO6Sn700dQ/mL5Gwtd\n1fSpbcTHzhiD+wseYxwnLDpSn8X/Xo37VbdWxbifM5OraKZJnFIk/dPjVVLnRpG7kmZnieENGMpN\nUkbiDq/g1sXeT1FGCM8fXME6oRyrHL1eJZHPEsJvYC1ifmTnM9aLvMMTD4l759O+FteJWZdZYdYO\nNh4VGQK6sZVJX4r0j9POqyOMYLMOX6Iy2Wx6UDWGyBXMLiiovIR/LXjJSBhF5dqx9YdTWGLiLnZw\n0UuC3sYcZdQkeWoXhhDz0TZjHjLZFyG1GMLnqCOPRwWf/1m0nzny9rPJQVUFTT5mejZFaU/UumOC\nO8FPuVFsd442UmrSDns+S+K8EY4Tkrax+JDaDHzEy76fjUQFVjV6hTJybs9k00JqiPrMR6VsbFFY\nPcLoa6aN4+6NH0ry+i9LVUeP0mIHiLqmbjoh+Dzv5PsQs9vt7GTSTIHj94fPsry8PHesTeTuyEtX\nZKON1FGb1kx9QtTTPX6nqCeLj+AGPMtSxQh9rimupdHu4uolM5ONaJHJPz4aRDbgNpKe8zO7m74R\n5pamy5cS85TQVf1Iupa29ehGy7JGXKTEtGWYqo2a2tjCsL4skezAbs9jv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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('res/fig2_6.png')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }