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@nyk510
Created June 23, 2022 10:29
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"sns.set_context(\"talk\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(510)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def sigmoid(x):\n",
" return 1 / (1 + np.exp(- x))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## モチベーション: 変わった学校の定期テスト\n",
"\n",
"ある学校では期末ごとに定期テストが開催されています。生徒は同じタイミングで同じ問題を解きます。この試験の結果から生徒の能力値を推定してほしいと依頼があったとしましょう。この場合すべての生徒は同じ問題を解いていますから、単純に問題の正解率を見たので十分でしょう。\n",
"\n",
"ただ、この学校は大変に変な学校で、生徒ごとにランダムに違う問題が与えられているとするとしましょう。すると、正答率だけを見ているとたまたまかんたんな問題を与えられた生徒と、すごく優秀だけどめちゃくちゃ難しい問題ばかり与えられた生徒との区別ができませんから、おそらく不満が出てくるに違いないです。\n",
"\n",
"このように、同じ問題を解いていない状態でも、解いている人の能力の比較をする枠組みの一つが項目応答理論と呼ばれるものです。\n",
"\n",
"## 項目応答理論とは\n",
"\n",
"項目応答理論は、複数のユーザがある問題を解いた結果 (正解 or 不正解) からそれぞれのユーザの能力や問題の難しさを推定する枠組みのことです。\n",
"\n",
"身近な例だと TOEIC などこの枠組をもとにユーザの得点を計算しています。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 項目応答理論のモデリング\n",
"\n",
"いくつかのバージョンがありますが、項目応答理論では、ユーザ $i$ の能力 $\\theta_i$, 問題 $j$ の難しさ $\\phi_j$, 識別度 $a_j$ としたとき, この問題をとけるかどうか?の確率 $q_{i,j}$ が以下の式で表されるとします。\n",
"\n",
"$$\n",
"q_{i,j} = \\sigma \\left( D a_j (\\theta_i - \\phi_j) \\right)\n",
"$$\n",
"\n",
"ここで $\\sigma$ は以下で表されるシグモイド関数です。\n",
"\n",
"$$\n",
"\\sigma (x) = \\frac{1}{1 + e^{-x}}\n",
"$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"シグモイド関数は入力の値が大きくなると 1 に, 小さくなると 0 に徐々に近づきます。すなわち問題が難しくなるとどんどんと解答できる確率がゼロになり、反対だと1に近づきます。反対にユーザの能力が大きくなると1に近づき、小さくなると0に近づきます。\n",
"\n",
"識別度は問題が能力値に応じて解きやすくなる度合いを表します。例えば特定のレベルを超えたユーザはほぼ100%正答できるけれど、そうでないユーザはほぼ不正解になるような問題は、識別度が高いです。"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def calculate_correct_answer_probability(theta, phi, a, D=1.71):\n",
" \"\"\"\n",
" theta: ユーザの能力\n",
" phi: 問題のむずかしさ\n",
" a: 問題の識別度\n",
" D: シグモイドの傾き. default = 1.71\n",
" \"\"\"\n",
" z = D * a * (theta - phi)\n",
" return sigmoid(z)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f17fb4a2e50>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"phis = np.arange(-2, 3)\n",
"\n",
"for phi in phis:\n",
" xx = np.linspace(-5, 5, 101)\n",
" p = calculate_correct_answer_probability(theta=xx, phi=phi, a=1)\n",
"\n",
" plt.plot(xx, p, label=f\"$\\phi$ = {phi}\")\n",
" \n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.998931040497558"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_correct_answer_probability(2, -2, 1)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"0.5"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_correct_answer_probability(2, 2, 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 最尤推定によるパラメータ推定\n",
"\n",
"ユーザの正答確率がモデル化されたので、これを利用して今持っている正解・不正解のデータが得られる確率を計算しましょう。\n",
"\n",
"今持っている回答結果が $N$ 個あり、そのうち $n$ 番目の解答が正しいかどうかを表す変数を $t_{n} \\in \\left\\{0, 1\\right\\}$ としましょう。このとき、その結果の起こりやすさ(尤度) $p_n$ は\n",
"\n",
"$$\n",
"p_n = \\sigma (x_n)^{t_n} (1 - \\sigma (x_n))^{1-t_n}\n",
"$$\n",
"\n",
"です。ここで、$x_n$ は$n$番目の問題のユーザを$i$, 問題を $j$ としたときに\n",
"\n",
"$$\n",
"x_n = D a_j (\\theta_i - \\phi_j)\n",
"$$\n",
"\n",
"となります。これは、先程仮定したユーザが問題を解ける (正解する) 確率を、ベルヌーイ分布に適用したものです。\n",
"\n",
"実際にはこれが$N$個ありますので、すべてを掛け算することで、回答結果データ $D$ 全体の尤度\n",
"\n",
"$$\n",
"\\begin{align}\n",
"p (D | \\phi, \\theta, a) &= \\prod_{n=1}^N \\sigma_n^{t_n} (1 - \\sigma_n)^{1 - t_n}\n",
"\\end{align}\n",
"$$\n",
"\n",
"となります。実際には数値安定の観点から対数をとったあと全体にマイナスをかけた、負の対数尤度 $f$ の最小化問題とします。\n",
"\n",
"$$\n",
"\\min_{\\theta, \\phi, a} f = - \\sum_{n=1}^N \\left\\{ t_n \\ln {\\sigma(x_n)} + (1 - t_n) \\ln({1 - \\sigma(x_n)}) \\right\\}\n",
"$$\n",
"\n",
"この問題を解く方法はいくつかありますが、今回は勾配降下法 (勾配法) で解くことを考えます。勾配法では各ステップごとに目的関数のパラメータに対する微分を計算して、その方向へパラメータを更新します。今回最適化する対象となるのは $M$ 人のユーザごとの能力 $\\theta_i (i = 1, 2, \\cdots, M)$ と、$N$ 個の問題の難しさ $\\phi_j$ と識別度 $a_j$ です。\n",
"\n",
"はじめに、ユーザの能力に対する微分を考えて見ましょう。\n",
"\n",
"$$\n",
"\\begin{align} \n",
"\\frac{\\partial f}{\\partial \\theta_i} &= - \\sum_{n = 1}^N \\frac{\\partial f_n}{\\partial x_n} \\frac{\\partial x_n}{\\partial \\theta_i} \\\\\n",
"&= - \\sum_{n\\in I} \\left\\{ t_n (1 - \\sigma_n) - (1 - t_n) \\sigma_n \\right\\} \\cdot \\frac{\\partial}{\\partial \\theta_i} \\left( D a_j (\\theta_i - \\phi_j) \\right) \\\\\n",
"&= - \\sum_{n\\in I} (t_n - \\sigma_n) D a_j\n",
"\\end{align}\n",
"$$\n",
"\n",
"ここで、ユーザー $i$ が回答している結果の集合を $I$ としました。\n",
"\n",
"1行目から2行目で $\\Sigma$ の対象が $N$ すべてから集合 $I$ になっているのは、ユーザ $i$ が関係しない結果に対して $\\theta_i$ で微分するとゼロになるためです。またシグモイド関数に関する微分で成り立つ $\\sigma' = \\sigma (1 - \\sigma) $ を利用していることに注意してください。\n",
"\n",
"問題の難しさ、識別度についてもほとんどこれと同様に計算ができます。ここで、問題 $j$ に対する解答の集合を $J$ としました。\n",
"\n",
"$$\n",
"\\frac{\\partial f}{\\partial \\phi_j} = - \\sum_{n \\in J} - (t_n - \\sigma_n) D a_j \n",
"$$\n",
"\n",
"$$\n",
"\\frac{\\partial f}{\\partial a_j} = - \\sum_{n \\in J} - (t_n - \\sigma_n) D (\\theta_i - \\phi_j)\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 実際に推定してみる\n",
"\n",
"### サンプルデータの作成\n",
"\n",
"実際に推定をおこなうために、人工的に問題への回答結果のデータを作成します。\n",
"\n",
"作成方法は以下のとおりです。\n",
"\n",
"1. まずユーザがもつ能力と問題の難しさと識別度の正しい値をランダムに生成します。\n",
"1. 次にランダムにユーザ・問題を取り出して、正しい値をもとに反応応答理論で計算される確率 $p$ を計算し、\n",
"1. 確率 $p$ で正解, $1-p$ の確率で不正解とするベルヌーイ分布をもとにして、解答が正解したかどうかを作成します。\n",
"\n",
"ユーザの能力と問題の難しさは正規分布から、識別度は 0.5 ~ 2 の間の一様分布としました。問題の数は 100個, ユーザ数は 1000人 で回答結果の組み合わせは 1万件とします。"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"N_PROB = 100\n",
"N_USER = 1000\n",
"\n",
"true_user_levels = np.random.normal(0, 1, size=N_USER)\n",
"true_prob_levels = np.random.normal(0, 1, size=N_PROB)\n",
"true_problem_disc = np.random.uniform(0.5, 2, size=N_PROB)\n",
"\n",
"results = []\n",
"\n",
"for _ in range(10000):\n",
" i, j = np.random.randint(0, N_USER), np.random.randint(0, N_PROB)\n",
" p = calculate_correct_answer_probability(theta=true_user_levels[i], phi=true_prob_levels[j], a=true_problem_disc[j])\n",
" t = np.random.binomial(n=1, p=p)\n",
" results.append([\n",
" i, j, t\n",
" ])\n",
" \n",
"results = np.array(results)\n",
"\n",
"df = pd.DataFrame(results, columns=[\"user\", \"problem\", \"answer\"])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f17faf48090>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.boxenplot(true_user_levels)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-2.9553361670293095"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"true_user_levels.min()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"_user_level = df[\"user\"].map(pd.Series(pd.qcut(true_user_levels, q=5)))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-0.232, 0.246] 2033\n",
"(-0.804, -0.232] 2020\n",
"(0.246, 0.84] 2004\n",
"(0.84, 3.439] 1987\n",
"(-2.956, -0.804] 1956\n",
"Name: user, dtype: int64"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"_user_level.value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f17fae45c50>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.groupby(_user_level)[\"answer\"].mean().plot(kind=\"bar\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# 問題の難しさ\n",
"problem_levels = np.zeros(shape=N_PROB)\n",
"# 問題の識別度\n",
"problem_disc = np.ones(shape=N_PROB)\n",
"# ユーザの問題を解く能力\n",
"user_levels = np.zeros(shape=N_USER)\n",
"\n",
"D = 1.71"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 0.0\n",
"1 0.0\n",
"2 0.0\n",
"3 0.0\n",
"4 0.0\n",
" ... \n",
"9995 0.0\n",
"9996 0.0\n",
"9997 0.0\n",
"9998 0.0\n",
"9999 0.0\n",
"Name: user, Length: 10000, dtype: float64"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[\"user\"].map(user_levels.__getitem__)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"_user_levels = df[\"user\"].map(user_levels.__getitem__)\n",
"_prob_levels = df[\"problem\"].map(problem_levels.__getitem__)\n",
"_prob_disc = df[\"problem\"].map(problem_disc.__getitem__)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"sigma = calculate_correct_answer_probability(_user_levels, \n",
" _prob_levels,\n",
" _prob_disc)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"def objective(t, sigma):\n",
" sigma = np.clip(sigma, a_min=1e-8, a_max=1 - 1e-8)\n",
" return np.mean(t * np.log(sigma) + (1 - t) * np.log(1 - sigma))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.6931471805599453"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"objective(df[\"answer\"].values, sigma=sigma)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"diff = df[\"answer\"] - sigma"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.019"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"diff.mean()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" 0.5 5190\n",
"-0.5 4810\n",
"dtype: int64"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"diff.value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"# 問題の難易度\n",
"partial_prob_levels = diff * -1 * D * _prob_disc\n",
"\n",
"# ユーザの能力\n",
"partial_user_levels = diff * D * _prob_disc\n",
"\n",
"# 問題の識別度\n",
"partial_prob_disc = diff * D * (_user_levels - _prob_levels)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f17fad7c150>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Pk1KmocJKQdYpiXpB1FZbgKWUeNcdjwIAHr0Qf0Gn1UgoI5lpeppFWSk2XxR8dSRjmpHw89oYUrGdHFsV4SzMtYo5I3FmkZAo73x3RWck/FolDU0PJGRaaFQrqFUrmG5UVfArUnDn99HxEjaTdG1wy/VYBBIAkFLeLqV8tpRyXkp5k5TyVvaz35FSHpZSHnX/L6WUfyqlfJqUclpKuV9K+Vop5fFBHW8UGjWnhjK1/berB5KtzUi+cnwJR886M0KSFBdyag6IryM55Tq2rtzjVfCXRefxhWemOf4aCQ8kw0ptUWuOmWYNQgi1Q9Yp0Va3r76nfXPOQKmiNRJ+HcxOmKktes+JurMsCiEwzwT3osDvo+MlaKVEbU01qphqOGvVuFBbY4Wsw62Gjdr6wF1eXE5SE6K7bZJmJFfunVGPDSIjmWpUx2okcrfXD/DefGEcVrGddsG0cHvUlv874UL7vrkmgOLPiV8HitrSxXbWHoVQRnV7u+SMhNalRq2iMryRF9vHEc2Mi5S+8JqoLSkl/vMHv4L/8c/3Zj/ABNjs9PAPX/ac10m0BD2jipuQSFXtV7FAUlZGwgPJRL2q6MdRr2zf7PTw6rffgae/+WacZTU5o5GRON/1dNNZmD2x3f+dcKF936yTkRRNbfkCiaK2/NfvuppF4lGjO0oIJF1fICk+I+HuNAriY0NtjROy7nZpJ0KagWk3cv+ZFbz3zsfwp7c+hJOL5Wko/3rvWSyxnWCSdif6oiyleUgR4Yy78B3eMaWCb1ltUrg4O1GvjE1G8rabj+KLxxax0uriK8eX1OO+jKTTG8o6B9JI6Hqncbv6poXXkOyhjKRwjSSYkeitRCgLmqh7GQlRW0WK7fw+Kofa8gIJffY2IxlCZJ2SSIvaFa5m8NjF9YAd9sKqd8GeKDGQfOCuxwDwmzsBtWU437BMZrPTw0W3vfmB+Ql2QZeze97QMhJFo4ywRvKlY5fwp7c+qP7PqdRAu48hHP1MVe0zitpyMxIt6BG1Va8KJRAXrZG0fBmJ2bVF/5+se8siZVNFUm262F60JZ4CJKe29ILPomEDSQZkdW3RBXSF2z5+rd0LDM25wGZLnCipaPHs8iY+9XXH/PaC65yemUnanZgW5TCR/gyjYfbPTWDaDSRlU1v1qkC9WlGL1qhmJJudHn7+A18B/3i5TqKf1zDSW5SRzFJG4gZ3PYslamtuoq7E4XI1ErMzzERtqXu9wA0Jf621dq/wXl7kDm3Wqp5GYqmt4UNW2kQFkj2eZqA7t/iQorIykvfe+Rj60uF/X/TE/e6xJclIgs8Jo8R41999AwgkGx0/LZE1axwWvO3mo3jg7CqqFYHpRnC8c6Bv1DAGkpaf2qpXSLcyNxWcm6yr769wjYS9Z2hBYidIbTXrxW9IdI2oaHqLem01axXMNq1GMrTIukjRQrxrpqEEP70L8MWSA8mjF9bwR7c8AAB49dOPYLLujqVNpJGYqC1zACLH1u6ZJhq1CmZciqBs15YKJCOckbS6Pbzz9ocBAD/x3CtxaMek+7h3LnpN0jBnJDMT/owkILazGpJJ9/sr3P7LPjtl/+32fLTSpsG11ahms/pHQb+PinZumVxb1v47hKBFShfr4kAXc6NawZGdUwCCFmAu6hUttksp8V8+/FVsdvo4MD+Bn3rBE5SWkGRsrilwhgUgykj2zzviaekZCRtIBHjBfhQ1kuWNrvqsX/rkg2iquqUoamv4ihJXtIwkrGkj8fdzE3X1/ZVFbQkBtamR0myj5hpJI6QvV65jCQSSYu9zz7VVVUHciu1DiMxie8/bKRzZ4QYSzQJ8sUSN5INfPIFPP+CMgXnLy56ImWZNaQlJFlwKNhR8+GM6aDLi/jlnNz1dstjuCaVV9xhHNyPxtRZp1r26pc6IUVub/mr1sKaNJLbPTdZUNrDR6RUqQtP13ahWVGAG/PSWUSMpwf0XpLaKzkic82jWrf13qNHMWtnuXsz1agVHdjoLrH4R6RlJUTfT+dUW3vKRewAAL37SAbzgun0AGN3Ql7HvRcfPb7SwWhLKSA7MO3UBM42yNRLnOKgquZEiQA4buDA6M1Fju+LwQDKM1BZlSXS9eNSWrpF4YjtRk31ZrL7F6R6ugXBWwaiRlKC1BamtgjUSxnyQ0cEGkiFEZrG9ywMJZST+QMLtv2vtnq/WIw/e/qkHsbjewfxkHb/6Xd5Ilzprix/XJsULJN6NFpaRkGtrvxtIBi2212nxHcFAsuK2FhECmKpXjW3P9YWt7MaN/b7ET/7NF/Fzf/vlxDUrvJ4B4NSW7tpyznd2oqY2AgCwWWDjxnbPOxbfe7CMRM9q+bFH3etSSnzl+GLia7vsQKKorbrVSIYaeSvbG7UKDrsC6snFTV8moBc+FSW4P3zeCVgve/JB7Jltqsd9gSRGJ6GbkYuRcRqJykgGJLbTsamMpFusR38QoN3jTKOGSkWoDDjatVXujvP+Myv4p6+cwgfuOo67Ty4n+p0WW9AATm2ZW6RwjQQo1rnF9UmecfD6G4/aYmJ7gnv9X+45g5f84afxM+/792THYhDbi6TxFLVVqypqa7XkEQ42kGRAFo1ESqmeX68K1Zyu3esrH7mUEpfW/DuHonQS2vXx1tiAV5BIxxIFCjT8ZjdlMVJKnHeH9lDQUhlJSQuevpts1JzzStvqfxigu51oId5Kaovvmu946Hyi3yHaiAJhXIuUucm6b5NSSiDRqK1NE7Xlc23F99W777TTtPzBc6uJjoXOnwJW0bUkvsp29xrqy3KvERtIMiCLtZTbZBvVigokAHBmxdm9r7V7gcW8KOeWJ2jWfY/7M5Lo8zFRW6aMZKPTU4V05NjxqK2SKtu19hajnJFQ1ka0hKlJaIDaKjmQnGBa3mcfupjod3RqK2weiU9s5xlJgedE8+3r1QomaiHUVjtIbSXJSCgIJJ21Q/fM5bu8rthF0lv+XluenlmmTmIDSQZk0Uj4gluvVrBzqqGygTPLzu6dFyNS9XtR1JYnaNZ8j9e4AyuG+/aoLSa2GwIJp6/oQi67509AIymhInlQ0Av5TPZffYdctmvrJCswvfPhi7Gbjm6vr64npZGEzCNRXYKbdV+2UGRGwmnlWrWighp/D9KZjNRWxPmSjpn0eOm1ds82I/vuZQUP4LO+WUDl6SQ2kGSAyUUTBz2QVCoCe13ah4Rpbv294ZAzefjkon9cbVYshWQkaWbQ0+6+URUqCJp0FZ51TAcykrKoLTfIZahsv+/0Mj761VOlcshpoDQSl99OYv8tPyPxNjQrrW6sTsI/92adqK1gX7d2t68W4LlJx+os3L1NkUWJ3HoPABO1YOGjXosEJGMf6N5KWsvD7yPSSovMSGjD0WDdf4HgOOMiYQNJBmShtviNRRfzXpfeOqsFkka1gqvd1uvHC8hIur2+2uXOa4EkTUZC/bjq1QqzDQc/Ax4svEDi3Jzr7XI61XpiO9Eoyb+jH/mrL+ANf/1F/N2/nyj8uLKAdo60m0xi/93olCu265nxZx+6EPl8HvQ8aouaNno/426iuUlnAFYZRYncEgt4wY2um35fquf4W6QEjQ46ljba7mv1E13b/D7yAklxGQkvSJyoV9Smr8x+WzaQZEAWsZ1fiHQx0xAforYokOyYrqu2GEVoJJxO4vPMAY9uAJJrJPVqhfVNCt44/P2mG35qCyhHcFfUlrvTpMUrro5kZbOjikL/+JYHh6Id+8pmPLWlmwhKz0jc65CCW2wg6QYDiSmL5btkujYnS+i3xcV2wKs3ooDH32vKILa3e+FBglv0+Xn3+xJ/8qkHccv9Z33P5/fRYbcwudiMxKO2hBBKcLcayZAhi/2XL7h111G0381IiNoi6+/O6SYOLTiB5NxKK3eKT72MAP88c8BPbcU1bmx3qbK9Eto3CfAyksl6VY1XneaBpATBXdESjXSV7byzwNfPrOKWr5+NePZgEObairL/lhlIWt0ezq04m53vfNIBAMCdj1yK3HjwoOdRW8Hg7s9InEBSRuPGtib803uQ/Ze/16RBIwHCN47cccVf585HLuI3P3offvb9X9aOxblnamVRWx1/0PSmJFqNZKhQhEYCeNTWmRV/RrJzuo6DbiAB/J10s4DvmHSNhFNbcbt3byclPCungdryJuN5wWPGJ/oVvzOiBUHv/ht3Tnqvsz+55aHCjy0t9B5VRtfWAMX2U0yne/lTDwNwvsOvRegkbUNGoupI2M6eNjkVAdXlmBbyYjUSTzcAvIyE3oN/fqaCROc1zNcSv794IDnvFhdfWm/79De6ZxoatVWURucVXzrnMTOADsA2kGSAl5Ekv9D5jVVX1JYbSJb8GcmOqQb2z0+ASjzy0ltUQ1IRXqsSgl8jiXHi9Dm15dZpGIKpbl8F9IykhECiCaXJMxInkNB3+vlHLuKuRy8VfnxpoPeoMrXkCdp/y1skiNaqCOAply3g8l0OHXPHg+H0lpHaUnUk3s+8qvY6hKuyl9EBmK4Dui48sT1IbYVmJIZrabPT850rLwwlCldKf/A0UVtF1ZJ0e30174UyWW+4lQ0kQ4UsGgnfGdONRRrJudUWen3JMpIG6qzWJG9RIvn0ZyfqqLACRMCbEeEcYxpqyzztDvACBQnsgNPqQ/95kQifRxJ9ThRInnXVbjzx0BwA+KYSbgVC60jYYkeLGn2dZVJbFEj2zU2gXq3gmVfsAhCtk3Bqq6FpJPw64zUkBE9sL866rey/VY3aSpORGAKJ3sKIHzN/TX7/8/uIOj8A+ZkHwB/A6VznBjDcygaSDKAZBe1uP3E6GpWR9PoSF9ZantjuVp+TTpK3lkS16db0EQCoVITSMRJTWzXB2s+bMhLnBppm2U+lIkqtJdnQXFuNKmVM0QvsY26QPrJzCj/+nCsBAJ+45wweSlilXAa8OhKHkjBRqfRvoiqLHgTFQRsZolu/6UonkHzhkYuh1wx3bdGCZnL68YaNhInG4MR2U0YyYShIBMxUtp5F+OpS2sHAD/gpYp6ppxmXHLbu+ChF9xxnVONGq5EMFeji6st4yyyBdkQVAbVw75v1diNnl71AsmvGCSQHCwokS6yXkQlRNSEcitqqeKNsTVnMmsbxEyhDKdq1JaVUC0JQI0mWkRzeMYkX3bAfe2abkBK4I8aVVCYCYnuERrLgBpIyMxKiVmljQxnJWruHrxxfNP6O7hwCYMxiecNGwqSmXxSBlhZImiFie7NWUfcnEF9nFchIfHUp3nXOf5dTxPz1k57vn976IJ72lpuNFKyfUnTOkffbKgs2kGRAHG9qAudFCXOTNbVInFneVPPbVUZSkAWYBE29hoSQdCZJx+TaiqgjmQ4EknJmkvCbR69sjzonKaVyyxzZOYUaoxq4022Q2Ox4bXKU2F432X+d58y710qZYjttZGhjs29uAlfucTov3H7UHHC9xoHe9W6aR7Js2OSUUUeiFyTqOozu+iPE3etBasuckfBrlN9HlYpIbd75+38/iYtrbXzintOBn5koRWv/HVKkqQZXz9MuZAAQQqg26yeXNrG47mkkQAnUVkhGUjdUHJvQZtRWLUEdiR5IZkqqbjfx20na2Jxfbasd5GVuW/9Btd0Og6m9TJNlV1TLEMxIyuvuqjKSHZ6T8KYn7AEA3P7AOePveJ1/vYXZJLYrhxrPSEqhttzAVtWpLS2Q1CMCiaEB6KLWrZsXhvLW/lxPpX/TZszUuSAKxFyYul6Y3HLqmrYZyXChWecXV7qMhAchwKO3Hjizohod6hrJqcXNXIVyJkGTI8rKy6GyqkqFBZ9w19ZM039TTpc03MrnuEnRa4tbf2k+DAXb5a0KJHyolWb/BbzzUYFkyjnevix2rjih35dqwTrMLOnPumo3AOBLxxaNlAktir6MxNC00TQDpMw6kjjXViCQsPvV9PlmEdv1tcBUcBoGKSUuqEAS3GCa3HJPObID//FZj8crnnoo9vWzwryyWEQiU0aiXciEva5z6163FTXAMhJ3B9ju9XF+taXqTtIiTiOpG9w0JvBRu14DviiNxP9+0yWJ7ZsG62aSjIT0kR1TdbVozw6ABoiCb8yuZv8FnAV6ol5VAWWB0ZXr7Z5PKC4C51db6r14bdM3XrET1YpAt/k+5N8AACAASURBVC/xuYcuqImb6jgN1JapaaPeI43/u0iNhDdtBMJdWzq1JYRDPbW7/dQaCd8w+TQSbWS1SQMLw1q7p17LHEiC1NY3XblLGSTKgs1IMqAZ4+QwgTueOMi5de8pr7hrx7SzOOya9maHXMrhMefzHkygaYKJW6TUKup3TKN2lWtLy0goQykzI6GdZpJRu1wfIQxqxnUY+PtSBsczYFooaDGZZ/Nlyqgl4bTqwQVvIzM7UcdTjiwAAG47GpxP4ontnNoKaiR6+3+gJI0k1LXlF9v1jATw6LAkGYlpvgl/f8B/HwFs3kyCwHmRTVA9s7wZuL5NbrlBwAaSDMgitrd7nsDGQbUkvL8S3Xz8ffLMHidqK0xsryW0/7aZYcAknBLCXVvJZpL0+hJfO7EUG9gI/OadIPsvd9aFvA5lJEd28EBSrkay3u7ilX/8GfzaP95t/DlvIU/uIRO9omskQDmCOwWSuYmar5MsAHyLS299+oGIQMKCoEdtsYxEdSTwnleKRqJ3/62HUFuNYCCJym4D9t8Qsd3X3oZRxIC3+UmyKb2w1lL/7kuvvRKBRktzt9wgYANJBiTpv6OD5rUHNBKNrqJsRH+fPPx3VB0JgEgrL4e/RUp4HUmYaytpHck7bnsIL/6D2/F7/3o08nkEWgwqwvt8ecAOOy/SSA7v9CibsjOSLzxyCV949BL+4jOPGMVx6ofEg3BURkIaCVCOBdgT2qcCP7vpCU4gOXp2Fae1Yjp9qBUAIx2q27b5v8satQsY7L8hYjsQHUj0jGQ9LJCw+0RRWy47YZqAGQY+agIIFjHqfbYGBRtIMsC3Q0w5zEb/gvfO+gPJTkZV8KrztPPhOcjKGlpHEmHl5ej2uP2XqK1w11Z4RhK9SH/9jKMX3c90oyiss0WAdmFJdKxjkRlJOYGEjlVKc4Bb2Qy6mHwaiXsutPOcnyw3kFAx4iGmjxBuPLKgvuPbtazEm4lhoLb6UgVRNY7XpJGU0UZezSPxO6XCNBKAtUQybJoWM9SR6KUAps4FYbigBRJdJ+Hz2gcJG0gyoFatqNYUaTOSMGqLsIPpIpWKiHRHJYE+OMiEpBmJmdryH1en11c3bXgdSfQiTTd10oWRJkvyefQNpkWZvqNur6/cSFwjoXYSyxvlUFvcHmr6TvUW8kBQk5NSqoVpol5VPy9jJskJVYwYNHo47VJ2AgBuP+q3AZtdW96/qSiRaEk+/rZU+2+Y2B6hkURlJPp1wmnWsIykHQgklB35X3+t1cXD59d8j+kZiV4aoHc5HhRsIMmItON2OS3EoVNbPCMBsg3R4uA21tCCRFUTkkxsb/CMRAs+PNvQM5KZhJXtdAMmdXedd3lj6gjgHKO3IJgCyamlTdXc7girj6CsbbXdLWU2CbeHJm146Qsknb7vM2/UKmp+RikZiRtseQ0JB9mAb3/ggo+qM1NbrEGoew6bLCASyphH0tE0Sj2QrEdkJF7BYHgdCRljuEayEaKR6GvBRIjY/v3v/Dye99Zb8LUTS+oxPZAEMxIbSEYKaRf4MLF9ulnzzVXeOe0PJPWItDoJ+I4pltqK1Ui8OQphmdJqRCBJKrZ7GUmyQEJOFu5y4+64juE7In1ECP8iSRqJlE4wIXztxBJ++cNfxedytk7ZCClSI6waMhKyoALOYuabtlmtYMp1d5VDbTmf00EDtQUAz3J1kvOrLRw96/UnM1EsPt3KpVGj6kiSThxMgtDKdjfDMx0HIexel1IqRyQVFtP3K6X0bZjM9l+9jsT/+l93qd0vHfNaoZxfbfmeoxcl6hTeoGADSUaoEZwpCxJNO4W9jN7aMW3OSLJSW74JdHFie4RG0u9LtYOvV71eW3rw8c9r1woSk1Jb7s2YdACW1zXZ+xx9GonhszvuDrTaNzvhW+x4JsB1krfdfBR//blj+J4//Sx+4J2f9+0S0yCMNyeE6UvcguqbtlmreFRQwYFkZbOjrh+TRgIAV+6ZUZkGF9xNri3fyIKe9C3gvoykEdSE8qDHrl2v+29F/azTk5mordVWV70uDamj76DV7YPHQLp/+32paL2ARhIYn+y8FhfU6VqnjZyekShqq+B6ojjYQJIRjar5yw9DWEEi4Ke39IwkyxAtDnKV1CrCeJM4x+RmF93w3R8PMvVqxXPg9MMzkjDXVrvbjwyMlIkkbe54Xmt2CXiZHL2fDspIjuz0L5D+QOJlc2dXvJv5U18/hxf/we340BePJzo+jriMxCS2A35njx5IyqK2+G43jNoSQqiF39dbyqCR6GOd2z1vsfXZf9l1qtNbUkp86IvHfXVXcdA/L+f9/O9xyl2Q9c/dOQc3Y9C+L2791TMSPajT/eu/j3TXlr8SngKOKZBcs38WQFAjaWmtYAYFG0gyIu24XVPTRgIPJDuK1khUe5R6qK88LChw+Hj5Km+RYtZIahURyL54W/ko5xbdhEkLFy+SRjLNNZLojMRUQwLAVyvBMxK6gV/+1ENqqt2tXzf3mYpCvEbidsPVMxJazDo9/8JY9QLJRsEFiTRetyKA3dPN0Oep92div5naYnRj3+vYDJg1Euc1/QvybUfP42ff/2W84d13JT4PcyDxro/PPnQBJ93FmmpjOMIyEm79PaAFknXtuOka9I3cDmnX4vzb+/1TS16wuODSuN9waB6Ac43yDY8pExwEbCDJiLRiu+7U4ODUVlhGkp3aii5GBLzde5Rri+sMNV5HogUfXkOiB66k43bpZuz0ZKL+Q3Rz7QwJJGaNxLk5D+/0B5JGraICIL9Baff5ohv244XX7489hzDwhTHKtaUX/3ELKm8e2KyVp5HQxM6FqUZgIBqHaRCVUWyv+jMSLi7zhZ2KSp3X9J8TWcNPLG4kblLZ0j4v528vWL3/zscAANfun8XV+2YDvx/GClAgEcKz8dPx6kGd1gnuclTUliEj4UHltCEjeaIbSAB/xmJdWyOGtJST3uuHg88l2TntX0DSBiwdXg1JeFu1eoLK9jBqS6fDwjh+wK+ZROkfvqKuGJ2EN7HbPeMF5EpFKO4+KiO5bGew0I4WcfrsWt2eOq+d0w1Ff2QZXZpYI9G+L3W9dfpqwh49rqilgodbLapAEr4JAYBJFch4RhLcGddZMOr0/BkJX9h5RqL326K2Ns4mI929BwRdWwDwyfvPAgBe+mRzU8NmCCvAe9hNNc0uMAL9btsUSFS2GZaRbEJKiY12T21Ertk3qzI8Tm959Ts2kIwE0lJOXmV7cGfn10j8FELS2eNhWGLUVhiiqtQJodRWiEZiDiTxGUmv718g4nb9vIldwPEWYlTo9vo469I2Bw31EWRKoIyEc+E7phu5RpeG9V8imFxbAJ9J0ve7tmoVNca4aLH94ppz3rolXceUQexXhYa+gkReR9L3TQQ0VbYDQWrrOBs7nbRDcxy1RTrNd914wPj7YZs5ui4Wpuoq+K2H1EB1jNRWeNNGHkha3T4urXd87VF2zzRxYD44r8jTpqzYPhLwZoKnq2w3UVtX7Z0B4NBPOgWV37UV3fkXQGSVOoHTQ86o3TDXVnBeO6FZq6gsIUz/0HegcXTNBWaHDKMF9QWAZ0Mmyk9lJO6izr37O6YauUYGb7Bdp1FsD8lIvMUmXCMpumkjp7aiYKr7aBtcirprazOE2qqzjYoeHPnuO2n3Af3zct7Pf33+h8t34LChDQwQr5HMT9Z9n4GUMvBd0O/67iPNtcU/j01tNsnJxQ3fdbhzpqE2QTyQmD73QcC2kc+IzAWJhi/4mv2zeMf3Px375pq+MZ/8fXTHSFIsJ8hIVLCKOBceyGoVXpCoZyTU+Td4aQnhzKhe2uiEBhI9cMQt1rxlBHdtAXwmiUa/sZvclDnNaW1SqHJeCGfRmMnR2DGK2uJBIii2B11bFeFsAiZL0ki8QWtx1Fa4a4tTLLzlT6fnL6zUF/aJehWdXjeQkZxgM2SSZoSmjKRedUbqkn33JSG0FhDeImVxw/l85ifras484HxHAWrL/d1uPxhIJli2SdDP+/TSJqpucK1XBWabNVXbw911W9VrywaSjEjr2oqy/wLAt16/z/h4XmrLayEf/lWrme1RGUkItaX/TljnX8KMG0jCAoS+A43bZZPQPlmvKtGZEPYd8QXIFPD0DsDUwn9hso5qRfhmYEspU3VZjbL/8kwpNCPpeGI7LRYmaqkIXNRGP4eB3l+nYwD/zphvknp9r3ajVhGB+2KiXsXKZtf3msusrgVIkZEw1oAvsBO1CtbaPdQqAt/5DWZai/+ObvzgXbWnWCDZaPcCgcTr2uy/j4Awsd3/+6eWNtT1vXO6ASEEDs4HJ6ia5sAMAgN9NyHEs4UQtwohloQQtwkhnhPz/IoQ4r8JIe4XQpwRQrxbCDEf9TuDAjWjM9ETn33oAp7x/9+M9915TD0WVZAYBW/Mak6NJAm1FamR+Kkt05AiILzzL2E6ZiaJvhOLswBfNLRHUceZofoeAGab/g7AF92dORWL0u+kEXwJYVPzAPN0REJTXW9e1kILUVl1JIspqS3/jPIY+2/PXIyovyb/vE5c8tdMJM0IWwZqC/AyqZuesDtAi3JQu50kGgngXMN6UFfUFs/slUYSn5GcWtoMFN5SRsLtwR61NaYaiRDi6QA+DuAMgB8AcBrAx9zHw/CbAH4FwNsB/AyAZwH4hBBiy7WdqILET9x9BmdXWviHL59Uj3kaSboZAXldWyuJqK34FikdzW1SC6kjiRLbAdYmJWTR0zOQuOp2orZ2GRaCqIpkwFzrAhgyEvc9aGc+F1L9ngSc+9aPi4vHs02z/bfV8Zpi0mamjCaHgKeRZKK2DK4tIYTKSrr9Pgskwe/ApLsEA0myz145Jqv+GR20EL/yaUcifz+NRkLHHCa2m6gt08z2YEayGbjWSSM5zfrGbQdq62cBPALgtVLKjhDiIwC+AidAvE5/shBiB4CfBPBrUsrfdR87BuA2AC8A8C8DOm4johZ4KirjFxPZZMOorTBQ4MnbtDGqjiRJRtL2aSTxvbaiqC0gfBHQd3Jx1e2mGhJCmGtrjQnaJloqTGynQDKjVb/vmQ0v1tPBA2VAuzGM2SWYKtubNT0jKVhsX6Mdd7KMhBY/3p1YD9Q1V5fo9mSkw2jCEBz1Ku60ri19E/fH3/c03H96Gc+7Zm/k78fVkegayUa7F1pHwqktr2mjNxuFqNKWJrafWtpQz1ejuN1A2OlJnF9tYd/cxHg3bRRC1AC8AsAHpZQdAHD//hCAVwghTHnYiwFMAngfe+zTAE4AeHW5RxyPqDnLtEiaaIy0gcQrSEzfvE5KmaiORGUXERoJnzMtBHNthWgkYdQW7fYp2OoIUlvRu+yLqj1KcDEPWwBowZ5uRB+jZ//178x5sWBa51aU/ZeoralGNWC68OiPnqEBYfFie7vbV+eWVCOhQMY/bz1I8OBumo5ImKRRuO3wQJLWtaXv0g8tTOL51+6L1bhCxXalnTViMxKvst35u1YR6n3p9fmMGpPY7lFbzvdxgPU/o89m3AsS9wFoALhPe/w+AE0Api3BZQC6AB6kB6RTynq/+7MtRXRGEuwVpW7+tIGkmnwMpw5ec5DEtRVdR+IPhLWQ1vNeRmLmaGnxDgsQ+g0Yp5FQN1QTtRWWkayq6nFzIKHPytNIXNHZfY+pehW09qSpJelrbUHCKDdTNseDYphGUqTYTsETSEJt+QOZP5BoGQkzaSTSSAqgtnRzQlo0DNQT4HdEOkW6nmVZp251jYRvKP2Dy5zfM1Fb57Uu1zPNmmIayAJsGig2CAwqkBx0/9Z7cNP/Td67gwAuymAfhAum5wshFqP+AChUpI8qSIzKSNJezNQOPUsb+aUELeSBZDPb9RugHqKrrEXYfwEw62wx1NZFQ8NGQth3lDRr0u2/tDOvVARmGumr2ze7Zt6cEFZDAmiuLW2HTYGk25eZKVAdl1gRZlpqq+UrNNSpLZaRuAuzqZmoSfc5zqy/QHKxPSwjSQpTRtLt9dX3RZX//JgD1JZ7n3RYZq9e3zdKua9eA/Bs4K1uHw+ec9r072TXOvX48gLJeGck9A3oOaTQfq7/jinnFCHPHygaIekuwDKSVpDGSEttUXuGqBqPMPhmkUTZf0OKCzna2g2gfiei15YJdGOE15HoYnuyQKJ3BADC+5StJqbfnDbh6j3YgsqfkxRhTh51XJQpGY7LVJCoqC2Nny8Cl1hGshCRzQJB11grpPUJ4N+AbERkJBOG/l1E38zG6Gw69AwuLUwbEr6BoKyAB9SwFimmDSVf9CkYU5C9fPe0+hmdL8++SSehbM1rIz+egeSU+/cu7XFqtXkSQZwCsFMECczdpudLKRei/gDINkAiBFHUFu2UNjo9NZjHtBNJ9T4ZMhIuRkZlJGHtTji6ekZS8VxblDTyYT5xrq3QOhKNPghzd9H7XTAMtSKEGRXUFMKQY5zTNJBLmv0XQKaiRJ331r9T0o2iWpm3e/0ATcrrZ9YLGrdLWdjcRM3X2sQEfR5KMmormWvLW1h7itq59oDTWHElRGfTobvc0sJ0r3PqT89I1llPLNpw0KhfTyNh9Sx1Tm05P6fz3j8/EfgM+aaJxkRTE9JWzqCZFYN6t7MAWgCu1x6/DsAmAFM/7kcBVAFcTQ+4tt9r3Z9tKaIKEjlvTnSGsv+mpbZyFCSS0N6sVYy7Pv09kth/lUZimL+90empvkVx1FZ4QWLyjGS11VWfq5HaUouv2R1lauMC+LWT86sttbvkWoEqSkxDbemBRPtOTfPaCcq1FUFtAcUJ7pc0XSgKup5hqiQneGOdPb3INIRJf00utF93YA5AFvtvuk0coWmoGeO0sZ6R8IJECjK62M4neOqjlAH/5Eh9OiV3KNJIA2pCqup3xnGwlZSyC+Bv4Ti06gDg/v1yAH8rpewJB1zH+CcA6wBewx67CcB++J1cW4KwTKHXl75d9FrLsfSpgsTMrq3sGkmU0A4ktf/q1FZw/nZUQZ3+eFgg0RfCqO6/vt5DKTISr/re/LlwV9axCx4vz7UCZWNOQW2FOXkIXsPG4HFxl6A+TrVMaivOsQUENRqukejUFm8QSo0dJwyZgp7lULPGakWo3nRpW6TkFdsd27LzWovuvdWoVlQAmWDBj75rCjIetRUsAzCJ7Xxi4/45f2NRnn1fpjKSdTXt0XnN8cxIAOB3ARwG8F4hxMsAvMf9/9vcn78VwHkhxFMBQEq5BOD3APyKEOJnhRCvBfAuAJ8FcMsAj9uIMCFXXyA32j30+hJkGUibkeQpSPQaNkaXC3GaKgwdTePxzftwKbG4inH+eNgioNM/URoEUR0AsMugkYR1BfB2/vEZyaMX1tS/TRpJmoLEOI2EgpLJTRZl/52ql5CRKINB9CYECAayVkRG4g1Rk5H2X9oYHD27gm6vrzSAA/MTanFOanQoyrXlvJZzbqaBcbxVDGXWC5POeXSU2O7eRxUeSIJiO6f9DrAO1dWK8NWEEbW12en7mjeObRt5KeWXALwQwB4AfwnHEvwiKeUX3aechFP1vsJ+7ZcB/DqAHwPwvwB8CsC3SSmHRmzX++/oC99au+vbeaYvSAyvV4kD7wWU5D2i7L8kqnvUVjAjiZrXTqBAstHpGd8vjWuLMpKpRtW3mBHCaEGl44QE2DrbZR5zZ7tXhD+zyyS2a0EyjS3ZZP9tMpqRAntRRYmXEvbZAoITDVtq0yEC9TB8siZRWybalXrPnV9t49MPXsCJRSczPLQwGajziUNRYjt/Ld4ehcCpLWIl5qf0jCRIbVUqQr2HLrZP1KvKmQU4gZ0PGTvC5uk8cHZV/XucMxJIKW+XUj5bSjkvpbxJSnkr+9nvSCkPSymPsseklPLNUsprpJT7pJSvl1ImH9ZcIsIKEvWd9nq75xv+lFZsz9Nry2vYGEdtJchIdGpLm78NaPPaQ4r9uHZiEtJ1bjmqIJFayIf1SQprwU/fUZiOA3iL+bGLa+7xNHyLolehn0Jsj3NtRdSRRNl/gSAVlBeLBoNBGHxif7trnEVCqLFNS5TYfnjHFJ7x+J0AgA9/8bjKSA7tmFTUoz6/PgxFUVv8tZYMmzSqbl9nvbYWElBbQHA94Y42mjsCBK/1mWZNPeYPJGOokYwjwignfWHZaPd8GUn6gsTsrq2l9fiGjQAr3ItwbdF50kKgz98GPO1hqlENHc3Kd9um3TzdQDTtMEpsvxBR1Q54NGLQHeW8Rxj9xo/zUVcj0acEZhHbA66tsEAS59oyLIxFN25UjSpTUlvrjNoy7YpVzRIrSDTVkQDAdz/FKRf7+N1n8PUzziJ5mGUkQLJA7lGB2RZXE/W0YqCN/WK7vytAu9f3aaWBQFL3B5KWL5DwwXfBwH7EFdy3TUYyTlAdQd0LhKCLr2vtrm9HnLogMY9riy72iBoSwLu5pYRq/qZD+d9Nri33Z0QZRe30+eJtChK0k9vturA2Or3QY7oY0bCRH2u42B4VSJwF9JjrhtGnBMb1DDMhzv5Li1OUa6vXl2qkrqmTbVHjdj3qJh21tdmJDiScRt2IoLYA4Du+4QAa1Qo2Oj3cc8ohIg7vmPKZIZJ8/tTfKiu1ZQokXtAPUltLGx3lXuQZS7vXZ4EkpAVORxfbK76MxKQFEr31wDkbSEYOFBCk9Peb0neoG+1eoHNulvfJQm3Rjp0EvzBwA0DY+9A50g3gn7/tv7nC6jMAf5AxLQJUB7GHzbEP4/0vRLRHAczOOmcBi66+B7yMhBYOneIpoyBxJUIj4QsDBRxTRqLbp7PC6/wbH0gabPKlk5GEW1B5ixRFgYUEkvnJOl5wnb97kkNtpeu+7GUk2ey/JmrLZNWmYM6Hrc2zjK7Tk4mprTCNxJiRUCCx1NbooWm4uIDghb3W7vp+nqdpYz+iqaIJ5OLQfeg69Ml1JuiV+fw8Opr9N2qBbta8oVhGakvLSIBwuoZu2J2GGhLArJFwXSYqI9HpQD0jocUsaQdawBBI2HG1ma3XbP/1Fga6xvyBJLqHWRr0+lJpADqlFwZejOd19TVRW953ojSSiN3zy57i74Z0aGESM42a6nWWiNrqBjO4NDC5tug7MFFbF9lsdd4VoN3tR1Bb/gJMlZE0qliYqqvP0hRIyALMa1vG1rU1bjDtUoBgV9u8Ggm/4NLoJL2+xOklZwTnoR3RgcTkwNIRLEg0ubaiC/0Ab9wufz6HF0i8FD5s1x9V1e4ca7COJIlFGQhmBQvTIRqJOyUxCaJcW2sxxxWXkeiV4HmwtNFRdvUkGYn+/tHUltciZbMbTW0BwHOv2eOjhw4sTKTudZZbbDe4tkzGCJWRrPKq94bvd3WKmBDMSDzDghACj9vlBAuenRCOGGbN20AyIjDtUoAQ1xZbnOsp0+tmAtrJhHMrLUVHHVoIXnwcvuwiRHDXuV3T7yQRsfnPTUI1cfx8xkdYUaKnkZjFdhJX+efvW7Aj6mt0p1uYRiJlcoE7SmyPC3ANXyBxM5Iqz0iKE9t5oWcS+6/+/l4r8wjXVkz3X0KzVsV3PskZg7t3tqleM40FWK+7SYuaO98dYIGEqC1DRsK/A57Rtbt95eCsBTQSXWx3/qbg9OsvfSJ+7NlX4MU3HoSOIzv9G0WT7bps2JntGcFvYt6kTt8hBcT2jNQWkE5w5y0luFhngj4C1YSuxu3WKlEZSbJAYqoKN1FbpoxEStZMMYTaMmUkKwmq74GgzhOmkdBrxp0zEK2R+DrmNoLXCN9Q0ELFHzNNKcwKUx+pOPCqbq+VuSEjoQmJMfZfjh979hX48mOLeNmTPZprdqIOLG0mFNspC8iuGzSqFWz0vXMzZiSGgOgX23ux1Far65hLKPgR7ffMK3bhmVforQodHFyYREVACfyD7rMF2ECSGT6NpOfdvKbKdrqQhUDqnUJWaov0kYWpeuwiZ3Jg6dB7hVV9gcTdpSVwbQHezadTW72+NwN9ulHDZL3qtpsILhYrrM/W7tCMJCi203uGjdkl6NRWICPx2Zg7AKKzPsDLSGoVgS5rZwH4R/CadugmQdoothfQtJGKEacb1cSiLRf7I+2/bnBfZ33Zwuy/hMftmsZH3nST77E0Zgdq75OH7mnUHPeYJ7Z3fMcBwDclEXACpF9LlcoqrwcSChitTt9HT0Zla4R61XF20eZx0H22AEttZQa/KHlRoonaarNdSNw0tqj34YWNcaCL6mBMNuIcV3xG4rV2cJ7rTEn0z0pJYqsFwhs3cupnslGN7BR8kfHQcWK7iUKabprH7BJmNbF9h66RMEE8aasOykhol8qvG37upt5TpkXZJLYXkZFQe5Qk1l/T+3uuLVMgcR7j90mSxVJHmu7LYaN204BvSqSUnkORXSdT2nlMNWoBCrwTciw8I9HvgyS4jFW4D9r6C9hAkhlhlJPe2nq93VUXT5aU0yf09ZIvEpSRxAntQDLXlsm2qPomadRWYo2kpQdd7/9TjaoS7U2L4wXmjImz//JzipspT9AzEl0rmKh7ltekRYm0QMypamfvvGgXWhHmBa9WEdCTWf5d8GK4vPDa5iejtQCN2oqYxa4+sxYPJOnvC1rAk1FbQSowLeg+bHX7WG972ZRJbFf/r1cDQn0otRWWkSTMCLlOMmihHbCBJDNMTg7AW1Ros8vF9ixfsE+LSaGRqEASY/0FUrq22DkoB07fb4lMSm3pC/AmG2I02aixsbzBxeLcirPYTTeqoTta06jdpMFOz0h095IQInbaow5a5CmQmKitiXrVmCkJIQILs6kgURf0syBNny0CH/cbXdkezEiy1DykaZqZV2wH/GMjVkMMG/p1ONWoolatqA1Au9sPpba42O4LJAa9zATu3LIZyQjBd4H0eEZCU8wc3n691Qs4ntLAR21F9MLScWLRsf4ejHFsOceVxrXFA4lX4wKwZogR9l/n5yEZCeP3J+teRqLXRhw9s4Jf/8e7Afib1ukw1eB4tS7Rx8gzkoowt5nxg54JEwAAIABJREFUePpktSS0yKvW4uy6SeJg0hfCslqk6KOFk4C/fysiAzDVEGWhttLU8eS1//LfbXX7vuA1GyG202fCM2OPnQipbO/2YvUyEy7bxQOJ1UhGCqr/kcEVtNe1r653uoFivjTI6tpKWoyoH1d4RuLupBi/UtMykrh57YQwjYQvglNMI+EdgL/wyEW88k/uwMmlTUw3qvjV77oh0Xkpi7Lq/BtN23C3zY6phrF3GBUOJs5ItEDS60vV/iVJcZ6+MJvqSAqlthI6tgDdteVmJBGV7VzbyEJtzaWitvK7tpJkJDq1RboR7+CtJiTqYrv7GWx2+n6NJGEgOcwyEkttjRhMjRtpx7tvzg0kTGzPopFUGTeeNJCstrqqyjVJIKlWhKLiwjWSILVVq/gzkrhZ6IRwasu5gYRwblyituh17z21jNf92eewtNHB7pkm3vdj34RvutJsiQTM3Qe84VHJM5IwC2zamSSe2O69Nn2uqjgvQlzVxeumLyMhsTu/a2sxxXRE7/0ZtZWgsr2ojCSJ2J6HWibwe53es1oRvoU+LCNRQagXpZHwjKSnXj/p5tOK7SMMnu4C/j5O+9ypZn5qK2Nlbcp+W3zAzeEEgQTgI1CTi+28SrnDutImFdv1WSOUkUy6OoES291F55+/egqtbh/75ybwoTd8M554aB5RMLVxSWsIAMKru2cjXGUm6BkJYOj2GkFLBDUS7/9TBWokF1NMR9Tff73dTURtkVidZrHkSKWRFEhttXs9thnxO/8CYjtRW8w9qI9jIPDuv0ovS3G8u2caKpDZQDJi0O2lfEHZS4GEFSTmbdGQVGwn62+9KnytRqLAg4IJXmsHTm15wYf3+YlrWz8dkpFQVTstSp7913mcWrp/y1W7fZxwGDjtQHRN0qypVq2o4whbUNNYUIGg/RfwPlf6WRTNE0Vt0a5+s9NP3ZNNR5pZJPr7b3T6TGwPr2wnJKVudMwmpBWllMx+n8P+y+71lZDNSJxG4muRUtMzEs+1xftsJYUQQs1vt9TWiEF9+VojN8BPbYXtQpIibD58GCgjOTA/GToXREfc3HYTt8tdUby/0O6Qug6CWoBbZmqLbqBpja551G3p/rgEQQRwdCo6/VOu+SBJh2IC7XpDM5IURXG82HJea+QHgI2djcpI4sV2IF9WIqVkrq3kGglRaxusSalpQatp12MWfQTwPvuNTi8yU+ebrzw7dY966odOstRbk9Bn4hPb6T6q+I9FbQQYtZVWNCd6y4rtIwZdI/FlJG4b9G5fKjolM7VFC3bCjMQT2uMdWwQ1AjVsHonBMODZfyXOuy3dKyK+kI0W8bY24Y4CBu3s9OaOx9z56UkDSb1aUd/DySXnM0makQCeBTjsfNKI7dzSaQwkMbM5AAO1FRJI8ji3lje7ygCQ3bUV1bTRrA2kBbdnRw0/O35pXf17f4Li3DDwez2sFkkITTNxP5N6EmrLUEeSJiMBgOde67Tcf/rlO1L9XhGwLVJyIDqQeJTS4kawW2um90mckZD1N/mNEze3vdMP3gA11jfpPBt7G9cGxjdut9VFo+YsWOvqBqq5z3Ptv+0eljc7aqd8WYTlV8eBhQmcXt5UGQk5y6IaNhIev3saD5xdxVV7Z4w/T8PT8yxhzkBtJek7FbD/GupIgHzOLd5nKxu11VPGDXNle7EZCeB8/mHB/qFza+p9Dswl31jpMIntprkxE/Wqt1nRqa1eFLUVFNvTfjavf+bj8NInH4yllsuADSQ5oGskdIE1axXfrpNG3mbNSNJOSSSNJKnQDjArb6xGwlxbrI7Ea+ker8nwndxqq6sWLKK2qNUEL0g8dsHbWT5u13SCM3JwcH4SX8IiTmkZSZzYDgC/+fJvwGv+wxE85+o9xp+ncQ7xxd0ktnsCa1Zqi81Nz9Fvy9/5Nw215bm2aCNhyjbqIZROWvBFPKqW5KHzTiC5fNd0YprXhAajsU3TEQk8M6QNUcNk/63ogcR7zoZbmJtFP9qKIALYQJILtOOi1iXehLs6ppi9lITovIN1krq2TlxKXkNCoBs8LOshaqtmpLb6qmXJrhh9BAif276uaySqILGrhPbZZi3VAkf03kl3NosqSGzEX/q7Zpp4wXX7Ys8jiUayEUZt9TSNJNL+6/9ZM0wjyZWReNlzmoWM3p9TuVFNGwlZAwnfCERlhA+7GcmVe8xZZVL4xHbDdEQC/8zMYruZ2qLPodXtJ9LLhg02kORAmGtrdqLm2yEubji7vHpOaiuJa6vXlzi9nJ7a8jKSOPsvp7a8jGTZDZa7ErjEppshgaSjBxKyCffwiKuPXLZrKlXjS2qhf3JxA72+VAt6EmorDqSRJOm1xRd3H7WVyv4bTm01axUI4cxHyRNIzrjXzt7ZZqrPmS96dK0kcW1lpbbIVbfe7kUGkofOO+NnH787eRZrgto0sqzCSG01goGkyTaCehdt/fV7famup1EKJFZszwFKbYm75zsVvjNZVNRWttQ6DbV1dmVTiaWZNBKD2C6lVJXhDUNG0un1cT5mWqH+XnRz8UCiU1sUjHt9iaNnVgAkF9oJlJGcWtxIPB0xKWghWWv31GceBp6RTDdq3qAksv8m4MV5IKlVhI+q4UJvHrH9zLKTWe5LqSdMGTIpk0ZS1+ilrPZfIBm1+LBLbeUOJIqe8teR6Jhk50znxu/froEiBvzfLWmqNpBsE1zuLmqPuBcrv8CqFaEWhbzUVjMFtcWLEdO4tminaKK2en2pRq/6mzaSQC8VtRVn/SWYqtt1aovfqPeecgLJZTvTLQiUkay1e0on0V87K3StJwqUJTRrzrQ9PZtN69oyGTeUcyqH/ffMipORkH09KUwOIzO1pe/E8wSSaNfc0kZHbXCu2JMvkPjFdrP9F9CpLb/9d4PNYNFt0Py7pfUiTUHiVmN0jnQIQbsc2vVwagvwLiS68PLaf5NkJNSsccdU3UevxcGbXBfcWfNmkTVfry3KYrw6kqQFkKZ+Wzq1xXe5D5xzKIr0GYmXlX39zKr6dxL7bxz8zqFowV0vMuPZHJDetWUKJKoDcI42KWeXKZCkzEjqwc/TTG1p2kCOmoe4jITuSwC4YndOjYQ5r6IMGzygkk5K9y9vXxOgttj/l1znXFr771bCBpIcuNwNJBfW2lja6Cj3yIwKJOG+/zSoR2QLOtLMITG9h0kj4e/rqyOp0GIocWGVxPaEgcQwJZEWQFqU+I1K1NHjUlh/AYdqoxuZ6DHAvJtMC17LkDQjoR1rgxW4Acm6//LFxpTd0ueWTyPJRm0lzUiCrq3sS1BcRvKQu/nYNd3AfAqDhgl+sT3c/jvJAqoutq+yLtb698e/d0ttbTNcwXjXR86veRWvTXMgGUSvLeXYSll8RTvFtiEj4cGFB0P6ndXNLtbcxSuJawvwMgK+CHi79orvORxJWqNwVCoC++edRfGom5FUY8bsJkVS5xAQzEh4N1kgof23Hp2RTBRAbZ1ezkZt6VXdQNI6kvwZSdiEyqL0EYBPMOQZSTA4TbL5IRTY6btaZ5sN/XPwaSTrNpBsKyxMNVRn2EcurAXGb+rUkj6DICnSuLbStI/niMpIOLXlm5Do/vuUu/gA4fPTdZgaHnoaiXcDcoNCvSqU5pEGByiQnHUyEr3ZXlY0asw0EBdItIzEo7acz7aVxP4bp5HkbCXPC0v3zabLSIQQgVGzpqwpaHvNvgTNxVBbVIyYVx8BvHNZXO940xFjNBK9aSO/1gMV/uxzIGYjz2czaIzOkQ4paLfz0Lk1z7UVQm0NoiCRdpS0eCaFqlI3uI94JsQ1EqK2TjMRO2lGQp+Rn9ryu7YAf1ZyZMdUbNW8CTQl8hG3FqUIoZ0wG9I3TIfKSOp+uoPGwCbp+BpLbeUcbnV+ta1MFXszVIHr9JZxHolObeXSSFz7dchn/5DKSPLpI4D3ffHmpPFiu/+75t9L0LXl/R59B3kcbYOGDSQ5QYGEZyQzIdRWVo0kjWuLptuFNRoMQ117j3a3j9/46L24+Z4zPo2EnwMFuHMrzi52ol4x2kBNUNRWK0ht8dfghYNpaS3CAde9RjpL3HTENPB4+nRiu972ZiOlRmKi5iZzBpIzLLNMS23x9yeUWZAIePeZiVbs9yUedmtICslIDOdiavzJM0q1aXDvk7WIjMRpp1/cZzNo2ECSE4/f5Tm3dFugTm3l1UiSZCRZ5m0DXDh33uPf7juLt3/qIfz4u+/Cl44tes8zUFuUxOyaTl7ENmsQ22kB5DcjX/TTCu0EnQ4rMiMJG9KlI0htecWcnV5fBbnIQFKPobbcz20zo0ZCgWS6UQ3MrE8CvoOuiKDFFQjeA1FUXhyiXFunlzdVlndFARqJ6fM2UVuUTU/Wq6rOxxPbwzUSIOhys9TWNsLj3d3Ow+fWAm6OALWV2bXlL14Lw2anp3a2O6bTLQTKyuty9sSVd/sSv+bOR3ee59csOJLWkADBBbjXlypQThm8+ABwWYoeWxx6PU0R1l9C1K6YY0OrkeH9l/jCH2n/ZYuw0f6rChKz2X/PZLT+Evj13qxVjZsKnZrMUysR5doifaQismeyHHp2VRFm6slkXTdpnKZNpf4eltraRiBqa6XVVRcKuTkKE9vdSXidbnT1NLk9gPhW7jrUDrnvnyQI+G9UX9NGje9Oav0F+NAq57V55Tf/3Hj2kDUj0Y0HRVh/9deKtf+GaiTeRDwgLiOJ1kgm1fyWZBnJ0noHUnrXFFl/92agtZz3Z4EkJCAW1bQRiO6+TLTW4R1Thczn0Bf5MMPGdQfmAADXH5xTj5mChun7098jT7HmoGF7beXE5YZdcphGkpfaasVkJJd4C/DUgcSlttxgSIGE+jd5zwvafwlJ2qMQ9IJEvov2WSjZZ3j57mKorSQNG5NiRllQk2kkExpv3ulpGUnCXltR1FYS19ZnHjiP1/355/Dqpx3Bb73ySQDyZyS8hiLMXl2kRjLHxPZeX/qynQcLdGwB/rHGAEKpvycdXsCn//Pzfdm56bsytUvSA4fNSLYRppu1gDBJOyVdfMxekOhSWzEaCQUSIfwdZpOAsouu21OLRPDnXL0H3+DORhfCT03oN0OajGRGz0jY4jdpyEiEcHaXWTA3UVOzIYBiGjYSFiadBeOek8uR/baUI83QEZasv0Bcry1OlwQXmTSurU/ccwZSAp+457TKSs6sZCtG1N9fP1aOouaRAMDcZHhngSJrSIDgvRuV1R5amPSdvymomtyH+vOs2L7NoGcldJFNF5SReMVr0QsEUVtzE/XUNtl6zV/XQBnJwmQd/+t7bsTB+Ql8xxMP+H5Hp7ayaiRSSj+1ZbD/7p+byHxjCSFwgNFbRYrtL77R+UzuO72C93z+WOjzElNbkXUkcdRW1fdeUbjn1DIAx5xBlNZZ1vk3C/gOOiwjKZLa4rM3ljf89NZDyrGV3/oLBANJmmtI/64a1YqRFrMZyTaHnj5PK2pL10jyVrZHaySUkaSZ10GoaxkJTRKcbtZw1d5Z3P6Lz8f/ft1T/b+j3VxJa0gALyvourPM130ZiXcDUcGniUJMg4MlBZKnXrYDr3raYQDAb3/8ft9gKA5dbK9noLYmYirbk1Jb/b7EvSeX1f/vdYMK1SDtT1mDREiikRTZa4u3PeH1Ha1uD8fdDg9FOLYAg0aSIqvVv6uwLuDBjGR0lufROdIhBk+fJ+tVtUhMNYvJSJIWJFJGklZoB7wbnAT9Fa0mxjRdTm8JnrRhI39dwKG3aPETwn9DvfrpR/CyJx/Ez3zr1Ylf24SDbHEs0rUFAL/47ddibqKGpY0Ofvvj9xmfE1ZH0ur11c8qInrUAOfpjXUkCV1bj11a99Xv3HNqGZudnrp+iqC2wjZN+j3A9bC0mGnUQJcg16jOLreUrnckIx2qI09Gop+z3gGZYF1b2xx8t8x3KkGxPV+LlDj7LxUjZspIlGvLL7ZH3TD6DZFkzC6Bv+4aCyRTdb9t9MjOKbztNU/BMx6/M/Frm8AF9yIzEsAJoP/fC68BALz3zsdw+9HzPjcUYGjaSJ83o7Ym6mbLLCGu1xZpS3HU1j0sGwGcjISKSoH07VHU+9cTaCQR7dPTolIRSvTmGQl3L6a1wYchqJEkf91gRmJednWab5RcWzaQFABObfFq10mttXZWsZ0vOlHIWowIsLG5mkYStXvPVUfia8HeDbSQLxoHWC1J0YEEAF73jZfhugNzkBL4vj//HJ7z27fg1//xHjWrJlQjYdRWnF6QtEUKFTmG4W5DIOFV7WXafwN1JDkXSzKV8EBCFG+1Igr7rvXPO42FXL/vw8oALLW1zXFk55RKsfkFprfiyExtJbT/Lro3UCZqS43NdV1bEVPg9N8h7Ehh/+UWXIfact6vrEByiGkkRVNbgJOd/c6rblTzUo5dXMc7P/0wfuxdd/nMBBNaQWKbFSTGFefFNW3kGUGUc+vuk0sA/PN0HnX7kM1P1jMv7r5AEnIuQvhbgeRdLCmQLPOMxP33wmS9kOacQDCQ5BHbwwqT+fdbEdk11a3A6BzpEKNZq6r5H1HUVuZeW2zR0SkTjlxiuzZoaa3tb0BpAhdOF6bqqQJltSLU57PW6qqFzzQgqQjwJpZFFiRyXH9wDrf83HPxkTc9C2947pUAgPvPrODuk8uBqn0+GmCzGz8dkf+O/m8Cv96i2qSQY+sVTz0EwGlxc9vRcwCy9dgyvX8UZcU3IHkzErIA84yEBkPlnUHCUdF6YaUJJHpQNbWOAfxZXBzNOWywgaQgUIdRfoEV3WsLMHfnJSixPWXDRsA/s11KmYja4jumNMWIBF7dru/Yi8ZlO6fwhL0z2D83UViRmglCCNxwcB6/8G3XqOzkA3cdVz/XXVvtbh+thNQWb+wXZf8FwjOS86stZfe96Ql7lNX3U1+nQJJNHwGSFSQC3gbEOZ9iMhKTRrKQspYqDjw4pnFt6ecYds78MxsloR2wgaQwfKMrBl+732uNUPSERCDauZUnI6kxHabV7Sur8UxEp1yekaQpRiTwmSSmFvJFolat4KM/fRM+9QvPTTWCOCuEEHjxk5wak7/79xPqcV0j4b22ktA8tJiZ55F45xXm3CJ9pFoRuGb/rGrpcSmnYwtIppEA3vVcxExyqiXhw60UtZWB4o0C/8zn8mgkIefNNxKjVIwI2EBSGH78OVfiY//pJvz0C56gHgtmJPlcW0B4IOn3pdqV5RHbO33p67NlmgJH4BRFGqFdvbZ7M564tOFRWyXOqa5VK4X0XUqKFz/pIAC/i2jCQG0laSFPoN+LmtkOhNeSkGPrqj0zmKhXVSAhDIbacq61IhbLQWYkPAuMui8Cv5fQtcUzklES2oEBBBIhREMI8ftCiEeFEMeEEH8ghIhcdYQQzxVCSMOfR8o+3qyoVgSu3T/nq7do1Co+PjRvQSIQPpNkedOb3LaQw/7b7fVVMSIQPbuDB8Y01l/ClW7V8R/d8iD+3t21l0VtbQWu3T+Lq/b6K6tVixTW0Znbf+NwuUuXmRpY8ustjNoioZ2aCl53YNb383zUVrzYDrCMpIBAMmcQ25c2itdIAP99mKcgMVQjqY1uRjKIpo3vBvBCAD8PoA/grQD2A3hVgt99I4CvsP+3wp44rJhsVJUDKrNGwn4vbNzuJe6dz+Ta8uy/Ky3vtZLWkaSpaif80rdfixOLG/j8wxdxftW5+cuitrYCRG+97eaj6rHAYKuU1NY7vv/peOTCGp562Q7jz+l6C6sloYzkBjeQXK9lJHsz1pDQexMiM5IqZSQFUFsm15bKSMqjtnK1SAl1bRVnQhg0Ss1IhBDXwAkYb5RSvkNK+ecAfgrAK4UQSUqVb5ZS3s7+3Fnm8ZYBbnMtQmwPK0rM0/kXYOJvICOJsv/m00j2zk3gPT/yTPzcC69W9QU7MwSkYQbRWwRqCcIHW3ljduMXj10zTTztcTtDHT1RbVLWWl08fMGpa6GM5PG7p33XV2HUVkSQKJ3aIoq3oGJEAl/oU9WRJBTb+edhxXY/Xg2gDeDv2WN/5z6WJCM5I0bJA2cAv7kyayTVeGqLakiatUqmWgzaJXb7EqtuRtKsVSKDH1+AdmdwbQEOJfiTz38CPvSGb8Ybn3clfvhbHp/pdYYVV+2dwbX7Hfpool7xpubxOhK3GWcRlcxem5RgILnv9LJqHXLDAaejc61awdX7PPotD7XFxf4oGrdQaou18SdrPGUkaTtgx6GRMZBUKsK36QqntqxGEobLADwmpVylB9x/H3d/FocPAdgQQpwQQvyxECK0T4YQYjHqD4D5vCeTBdRvK6zjZxLUE4jtF9eyC+2Ad3P3+jJRMSKQPyPhuPHIAn7+267NtZANK77rRicr4dmpr428VvWeB95wq6BrixxbhxYmffrBda7TUAhgT8bOvwAwwfpmRWYkBVJbFCw6PafoU0qpNJLCXVvuPRI2HTHyd9k9HFqQWB9zaksIcUuI+B3251nurx4EcMHwkhcAHIp4y2MAPgVHX/l2AO8A8MMA3jtqGQrt0rJmI4B/dxcWSLyq9my7MH58tKOLExT5DjqLa2u74HXfeBmed80evPF5V6nHGoxK3EihkcQhitqi8bPX7PcL7ERz7Z5p5qrraFQriqJMUpCYp/MvgWcdyxtOYStZ1wt3bbkBIGw6YpLfBcKzte0gtr8OwGTsszyQcb4PwPSJC/dnRkgpHwLwXPbQJ4UQXQBvBvBkAF8y/M5C1AFtVVaiCtByeOb5Ih+nkWTNSLiVlwJJ3CTBg/MT+N5nHAFQ3AChccTCVAP/54ee4XuMLyw0t76IxUMNtzKI7ScXndbqh3f4b+WXPvkQ/vXes/i2G/blem8hBKbqVay0ujGureI0kjkWLJY2Ouixzg9ZN1VhoHNK07CRwINHkjbyo6aRJAokUsoT8c8y4hSA6w2P7wZwV8rX+mc4geQGGALJsILss3l2ekIINKoVtHv90IxENWzMKDDy41t0qYG4jEQIgd94+ZMyvd92Bw8kyyqQ5M9IaAEyZSQnl5xAos+w3zndwLv/32/M/d4A8N1PPYR/u++sKtA1QWUkBYrtgBNIaJ4OULxrizKGLI0g/SOqkxQkjpZGUrb991EAR4QQs1LKFQAQQszBobUeTflaRN4uFnh8pYPaRuRtwNaoRQeSPA0bgRBqq4TmhhYO+MJC1tUiFtbJCGrr5KLT4VcPJEXi11/6RPzaS2Qk9VOkRlKvVjDVqGK93cPyRgddN2MXovieag2VkaR/3bjOzfpzRi0jKTvsvQ9AHcDL2WPf7T72fnpACDEnhKi4/xZCiFcYtJDXAOgifSazpaCMJGt7FELclMRLSmzPlpHwXRLRZGV0ybVwwK8HMjcUoRmEUVsb7Z6a3ngw4wTEpIjTD4gynStIw5hjM0nI+js/WTcOY8sDCgBpihHV79YSUFsssI7SLBKg5IxESvmAEOI9AH7frWbvA/gdAO+TUj4IAEKI/QAeBPBRAK8EcDWAdwJ4oxDiQwAeBvAdAH4CwK9KKU+VecxFw2vSl++irqtKaGeBkFKi25dqZ5tfI7EZySDhM1C4u+gop1NSUAa8obm2iNYCys1IkuANz70SsxM1vPYZSYyb8ZifrOP08iaWNzvKSl200A54M20uM3QViAMPJOETEsdfbM+DHwTw2wB+BY7I/lcAfo79vAVHS3kMAKSU9wshbgTwFgC/DGABwP0AfgjAXw7geAuF59oqJiMhauvH330XPvPgBfzzm27CkZ1Tucbs8tcHPJosqmGjRT7EzRPJCpWRaNQWCe3VilAdf7cKNx5ZwI1HIr0xqcBbydN9Nl+w9RcAfuSmK3DFnhk85wl7Uv+uX2wP00hGl9oqPZBIKdsAftr9Y/r5JQBXaY89AuD7yj62QYBaUeiWy7Tw7KISvb7EzfeeRa8v8dGvncKPPvvKXJ1/AX9GQsK9pbbKg4knL1Qj0aitU64+sn9uInRHPKrg1e20SJeRkUw3a3jJjQfjn2gADx7hExKt2G4Rgv/n+n245eeeG7BcpgWfX3FpvY2e26Hx8w9fxOufebnqwZU1I+GLy/KmpbbKhikjKSSQhLi2TiySY2v8Cj69fltd0GVctPU3L/wayfiJ7XalGAAuL6DGosmorbPLXu/Kzz98ERfWvP9nzUj4Dpms+DaQlAfTYlJkQWIYtbXV+kgZ4GI7JdZlZCR5kEwjGfPKdoutB59fcW7VCxzLm1187qGL6v+ZxXZDum2prfJgMl8USW0FAklIDck4QM1t32SurRI0kjzwV7abqa1atYIjO53vZ9QKfO1KMSLg1NbZ5U3fzz5292kATg+grJZKUyO5LDZHi2QQQji1QawuqBj7b4hrawA1JFsF3kqesumsmXlZSCK2A8AH3/DNuLjWLoTFGCTsSjEiUK4tLSMBgFvdedvzk3XV6ygthHDmgfM6FUttlYtGVQskRfbachsYCiEgpfQ0kpJrSLYCXGzvu5Fk6DSShIFk7+xErpkwWwVLbY0IGlWzRgJ4w66y0loE3m8LiO+1ZZEPuuBexHRIorb60rsuLqy1VcAax4xknmUkZQ21ygu/RjJSfWcTwQaSEUHdkJE8/XH+KXl5d2H6BV50iwkLP3QLcBHUFnf7kHOLrL/AeAYSmkmy1u6p4Fn0mN28SNL9d5Qxfmc0pmiyjOScm5F885W7sJMNlMqbkegptxXby0W95gXuisjf/QDwD1KjNilEa800a2rRHSeYgsYwu7byFicPI8bvjMYUJtfWnrkJPONyr8tq3kE++kI2bSvbSwXfmU7Uq5kHn3Hw6ZgkuJ9kNSQjNs4nEUyTEIseapUX/u6/4/cd2EAyIjC5tvbONvEM1q47r1OFaySNaiVyOJFFfjRK6K00xXQtsgCPcw0J4NWR+B8brswrSfffUcZwfdoWoaCMZHG9gzV3gdgz28QhtjjsyDg3ncAzEpuNlA9eTzCRszs0waSRjHMNCeDaQssPAAAOrUlEQVTQebWKQNft9jA7URu6NjA+11ZB3/UwYfzOaExBgYT4bsDJSK47MKdE8Z25A4l3OdgakvLRKKGSuVoR6nU9jcStIRlD6y/gWNd5/dSwWX8Bq5FYDAno4jvF2oHvnmmiWhH45e+4Ds+/di++9fp8o1L5Ls5af8tHGYEECM5tH3dqC/DrJMNm/QU0+2/Bc1KGAXa1GBE0ldjupO/zk3W1+LzmGZfhNQXMduDUli1GLB91n9he3J5uql7FIjpYb/fQ6vZwbsUxZ4xzIBn2jMTX/ddSWxZbBV2g21PCTAlLbQ0WumurKHjjdrs4s+QVrx4a50DCrleTi2urYakti6GAbs0tYzgRT7ltDUn5KI/acvttdXpKUxMC2Dc3nhoJoFFbQ5iR8E3DOFJbNpCMCBqaFbf0jMRqJKWjURK1xTsAkz6yd7Y5lpQKYW7INRKf/XcMvwe7WowI9IuvlIyEaySW2iodvoykwJodsgB/7Gun1QI2zvoIMAIZyZhTW3a1GBHo1FbZGYmltsoHX1yaBVJbZAO/7/SKeuzyXaPVljwt/IFk+DKSuq/77/hRW3a1GBE0AxlJ8Xy337VlCxLLBl9cihyt+hPPvRLVikC720etIjDdrOE/Puvxhb3+MIJXtw9bny0AODA/ASGcgDdqY3STwAaSEYFObZWRkfAWKTPN4bsZxw1+sb04uuMJ+2bx1lfdWNjrjQKGndo6snMK7/mRZ2Jhqj50VfdFwAaSEYHOq5ahkfiprfHbNQ0byrL/bkcMeyABgGdesWurD6E0jF9oHFMMpo7Eo7bsLJLyUVZGsh3BA8n8ELq2xh12tRgR6INxyii64q4t2yKlfNiMpDhcd2AWz71mD3ZNN0vZZFlEw64WIwJOO+2ZbZYyV4JrJNa1VT7Ksv9uR9SqFfzFDz1jqw9j28Lm0yMC7toqa8fFFzZLbZUPvjloWmrLYoRhr94RQWMAgcS2SBksymqRYmExaNhAMiLgu9cyHFuAv4287f5bPnggGcfaAovtAxtIRgSDyEhoYl+tIgIFkBbFwzch0QYSixGGXS1GBDyQlFHVDngZyXSzVoqYb+GHtf9ajAvs1TsiaFQHp5FYWmswaFS9LMRmJBajDBtIRgTNWgWHFiZRrQhcd2C2lPegAHVgTGd7Dxt4Aai1/1qMMuzWc0QghMA//tSzsLzRweEdU6W8x4ueuB9vedkT8cwrdpby+hZ+WGrLYlxgA8kIYed0Q7UILwPNWhXf98zHlfb6Fn7snnEywGatgtmJ4ewPZWGRBDaQWFhsEY7snMLvf+9TMDdRU1MNLSxGETaQWFhsIV5y48GtPgQLi9ywxKyFhYWFRS7YQGJhYWFhkQs2kFhYWFhY5IINJBYWFhYWuWADiYWFhYVFLthAYmFhYWGRC0JKudXHMBAIIfoAxPz8/FYfioWFhcXIYGlpCQCklDI08dhOgaQLJwNbzvDrFH2WijuikcB2PO/teM7A9jzv7XjOQPrzngPQl1KG1h1um0CSB0KIRQCQUi5s9bEMEtvxvLfjOQPb87y34zkD5Zy31UgsLCwsLHLBBhILCwsLi1ywgcTCwsLCIhdsILGwsLCwyAUbSCwsLCwscsEGEgsLCwuLXLCBxMLCwsIiF2wdiYWFhYVFLtiMxMLCwsIiF2wgsbCwsLDIBRtILCwsLCxywQYSCwsLC4tcsIEkAYQQzxZC3CqEWBJC3CaEeM5WH1NREELMCyHeLoQ4LYRYcc/v2dpzDgkhPiyEuCCE+KoQ4o1bdbxlQAgxLYR4RAghtcevF0J8QgixKIS4Uwjxqq06xiIhhKgJIf67+12uCCE+K4R4rRBCuD8fu/MWQnyrEOIOIcSqEOJBIcSbhRBN9vORP2chxHcIIf5KCLEshLjF8PPY+zjrvW4DSQyEEE8H8HEAZwD8AIDTAD7mPj7SEELsBfA5AE8G8F/hnF8PwL8KIZ7oPmcGwG0AHg/gxwF8GMAfjlkw+RUAh/kDQojL4Jx3DcAPAbgTwPuEEC8Z/OEVBzdY/BOAHwbwvwG8GsBHAHwfgOY4nrcQ4mkA/hnAo3DO948A/AyAN7s/H5dz/q8AngSgrv8gyX2c616XUto/EX8A/A2AewHU3f/X3f//9VYfWwHnJgC8HkCTPTYHZ07BH7r//1EAfQCXsef8GYBjAKpbfQ4FfAbXAWgDeKdzO6jH/weASwBm2Wf1LwA+vdXHnPN8XwpgBcC+kJ+P3XkD+C0AjwGoscd+AcDxcTxnAF8AcIv2WOx9nOdetxlJBIQQNQCvAPBBKWUHANy/PwTgFUKI6lYeX15IB++SUrbYY8sAjsLZlQDA9wD4jJTyGPvV9wE4AuCZAzvYEuDuzv8IwCcB3Kr9+HsAfERKuQK4EQZ4P4BvFkIcxujiPwH4MynlGeFC+/k4nrcAsCql7LLHjgKYdP89juesI8l9nPlet4EkGvsANADcpz1+H4AmgL0DP6KSIYSoALgawP3uQ5fBfP70s1HG6wB8M4A38Qfdz+AIws/7SPmHVhquBfA1IcR/BfAggPNCiPcIIfaO8Xm/E8BBIcQPssD5QgB/PcbnrCPJfZz5XreBJBoH3b8vaI/T/w8N8FgGhW8HMAvgY+7/D2IMz18IsQDgdwD8hpTyfu3Hu+BQmGN13kKISQD7Afw8HC79TXC0gmfD2XmO5XlLKe8D8DIA/wfArUKIX4ETUH8BY3rOBiS5jzPf66EzeC0AOHwh4KTGHEL7+VhACNGAs7jeBocjBpxzHMfzfwscLeg3DT8b1+99zv37XwH8pCRBQIgLcAT4q92fj9V5CyGuBvD7AH4Rzpr303B0sWsAHKen6b/m/j2S52xAkvs4871uA0k0Trl/79Ie3+3+fXKAx1IqmF5wCMAraJGB8xmM1fm7Lp43AHihlHLT8JSLcBaasTpvAOcAdAB8ln2/AHC7+/dejNl5/9/27jZUqiKO4/j3p3mzfBGV9OBD3fBFeUnLCxJRmik9SEEYlIIiZoFlRGbYI5oFUUlKUhLRI1ZmaZKJ0IOSadGDkpVp9CBW5IskTU3MSp1ezGwct7276z3L3e76+8DheObMNjPbzv7v7JxzJs1zvgksDSHMSmlziKOTlUA/GqzNbaimH7e7rzuQlLcN+BNoKUrvD+wjdsxGcRdwPTGIbMyk/0jp9hfOdUaTiT/rvp2Za+4CIGk/MJ94pUpb7f6JTiiEcFDSj0Ar8GLmVFPa76Xx2t2fOPJYUkgIIeyTNI14JdcQGq/NpVTTj9vd1z1HUka6ymMR8QqtbgBpfzWwKIRwoJ71qxVJdwIPAjeFEJYUnV4InCfpjEzaaOIH65MOqmKt3QcMIN4/U9hmpHOFfy8ERko6Dv4dsY0G1oQQOvNfqfOB8YV2JZcT7x/6gsZr9+6071+UfkLa76Xx2lxKNf24/X293tc8/983YBDxw/Y6ccJucTpurXfdatA2AbOAQJwbGQxcmNlOBnoA3wNfAtcAD6T8N9a7/jV+LyZw6H0kfYgjzlXAKOBJ4pftFfWua852Hk/8K3td+pKYBOwEHmvEdqfP+BJgD/EPhMuII+/NwOdA90ZoM/GqqkK//QZYnznuXk0/ztPX6/4GdIYt/c9YTZycXQMMrXedatSuIemD0tY2IeU7lXiX63ZgA3HkUvf61/i9OCSQpLT+wDvpi3Yt8We/ute1Bm09hXifxC/AD8D9HHqzXkO1GziW+PSCr4E/gC3AE8BJjdJmYGaZftyc8lTsx+3t617YyszMcvEciZmZ5eJAYmZmuTiQmJlZLg4kZmaWiwOJmZnl4kBiZma5OJCYmVkuDiRmHSitiREkDasi77CUd0oHVM2s3RxIzMwsFwcSMzPLxYHEzMxycSCxI1pmzqK3pKmSPpW0U9IqSRdl8hXmKwZKujblC5JOTOe7SrpN0jpJeyStl3RPYfmBEo6SNE3SZ5nyhlZZZ0kaJ+lDSb9L2iBpelrEqZCnOdVvlKThkt7K5B2R8lwlaYWkXan8M3O8lXYEcyAxiz4CrgOWAo8CzcAKSRcX5bshnX8NmBxC2J7Wr1gKzAE2ERcJW09c4+VdSV1LlPcSMJa43s1s4AxgZTWT8Cn/C8Sn2U4DVgD3As+VyDuFuAbJOuCRVM4SSQ+l+r5HfGz6hcBiZVb6MqtavR9/7M1bPTfS4+OBp4GmTHov4iPH30/Hw1K+3UC/ov/GxHTu9qL0SSn91hLlzQO6ZdJ7Z8srKnNKJq3w6P8xRWWNT+kt6bg5HX9Heox4Sp+e0j8GTsykP5t9vTdvh7N5RGIWLQ8h/FU4CHFlvOXAEElNmXxPhRA2F712LHH9hseL0p8hLuc6rkR5y0IIf2fK25op7+gy9RxPXD97paSehY04ooK4OFlxu37IHK9P+4UhhO0l0vuWKdusJK/Zbta2LcQV9k7LpG0tkW8AsCkbiABCCAckfQGMkNQ1VF6auVBeX+JKdaUMJI6WtrVxvleFMvZUSD+mwuvN/sOBxKxtPdJ+d9lc8cu/rRXiQjpfzdxDobxdZfJ0Ia5sWGqUA/BtFeWY1ZQDiVnbzgV+I67nXc5XwNmSmrKjkjTJPhDYGELYX2V5O4BfK5TVCnwaQqgU4Mw6hOdIzKI+2QNJlwLnE+cSKq1HvQDoCdxclD4ROB145TDKW1CivOxo5mViv324+Aqrorkcsw7jEYlZNDdderuKeInszcT5kBlVvPZZ4GpgjqRzgLXAIGIg+QCYW+I1syVdAqwG+gGTiRPzMzN5dqT9SEmLQgg/hxBWSJqX6tciaRmwH7gAOEtSa5WjH7Oa8YjELJpE/EnpbmA08CowKIRQ7mcmAEIIB4Erifd0DCTerzGYGISGl/hiD0AL8Dvx/o9riKOWQUVXUm0AFhPv8cjez3ILMIbYf6cDdwDHAlOBShP6ZjWnyqN2s8YlaQLwPDAqhPBGnatj1il5RGJmZrk4kJiZWS4OJGZmlovnSMzMLBePSMzMLBcHEjMzy8WBxMzMcnEgMTOzXBxIzMwsFwcSMzPL5R/kSl5ur7GFugAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"partial_prob_levels.groupby(df[\"problem\"]).mean().plot()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f17fad47c90>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"partial_user_levels.groupby(df[\"user\"]).mean().plot()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f17faccd290>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"partial_prob_disc.groupby(df[\"problem\"]).sum().plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 最急降下法による推定"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-0.6931471805599453\n",
"-0.4382587275470224\n",
"-0.37833494154422936\n",
"-0.35268799502981685\n",
"-0.3397284198773663\n",
"-0.33223001170388733\n",
"-0.3273999612798344\n",
"-0.3240172405348474\n",
"-0.3214944469346711\n",
"-0.31952461084021666\n"
]
}
],
"source": [
"# 問題の難しさ\n",
"problem_levels = np.zeros(shape=N_PROB)\n",
"# 問題の識別度\n",
"problem_disc = np.ones(shape=N_PROB)\n",
"# ユーザの問題を解く能力\n",
"user_levels = np.zeros(shape=N_USER)\n",
"\n",
"D = 1.71\n",
"\n",
"\n",
"for step in range(10):\n",
" _user_levels = df[\"user\"].map(user_levels.__getitem__)\n",
" _prob_levels = df[\"problem\"].map(problem_levels.__getitem__)\n",
" _prob_disc = df[\"problem\"].map(problem_disc.__getitem__)\n",
" \n",
" sigma = calculate_correct_answer_probability(_user_levels, \n",
" _prob_levels,\n",
" _prob_disc)\n",
" \n",
" # 数値安定性のため極端な確率にならないよう min / max をきめて clip\n",
" sigma = np.clip(sigma.values, a_min=1e-8, a_max=1 - 1e-8)\n",
" \n",
" diff = - df[\"answer\"] + sigma\n",
" \n",
" print(objective(df[\"answer\"].values, sigma=sigma))\n",
" \n",
" # 問題の難易度の勾配\n",
" partial_prob_levels = diff * -1 * D * _prob_disc\n",
"\n",
" # ユーザの能力の勾配\n",
" partial_user_levels = diff * D * _prob_disc\n",
"\n",
" # 問題の識別度の勾配\n",
" partial_prob_disc = diff * D * (_user_levels - _prob_levels)\n",
" \n",
" # パラメータの更新\n",
" user_levels -= partial_user_levels.groupby(df[\"user\"]).mean().values - 1e-8 * user_levels\n",
" problem_levels -= partial_prob_levels.groupby(df[\"problem\"]).mean().values - 1e-8 * problem_levels\n",
" problem_disc -= partial_prob_disc.groupby(df[\"problem\"]).mean().values"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 結果の可視化\n",
"\n",
"正解・不正解の問題に対する期待正答確率の分布は以下の通りになりました。正解のとき確率1に近く、不正解のとき0に近いようにパラメータ更新ができていることがわかります。"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f17fac9aa90>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.boxenplot(y=sigma, x=df[\"answer\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次に問題・ユーザの真の能力と推定された能力を見てみます。\n",
"\n",
"横軸に推定された問題の難しさ、縦軸に正しい問題の難しさを scatter plot として可視化したものが以下の図です。これを見ると対角線に並んでいて、概ね良い推定値が得られていることがわかります。"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"ax.scatter(problem_levels, true_prob_levels, s=df[\"problem\"].value_counts() ** 2 / 10, alpha=.5)\n",
"ax.set_xlabel(\"Estimated Problem Level\")\n",
"ax.set_ylabel(\"True Problem Level\")\n",
"ax.grid()\n",
"fig.tight_layout()\n",
"fig.savefig(\"problem_estimate.png\", dpi=120)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"同様にユーザの能力に対しても plot したものが以下の図です。ズレはあるもののこちらも概ねよく推定できていることがわかります。"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"ax.scatter(user_levels, true_user_levels, s=df[\"user\"].value_counts() ** 2, alpha=.4)\n",
"ax.set_xlabel(\"Estimated User Level\")\n",
"ax.set_ylabel(\"True User Level\")\n",
"ax.grid()\n",
"fig.tight_layout()\n",
"fig.savefig(\"user_estimate.png\", dpi=120)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f17faaf2210>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(problem_disc, true_problem_disc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 逐次的にデータが来る: Online Optimization の場合\n",
"\n",
"先程の勾配降下法では、全体のデータを持っている前提で勾配を計算していました。実際の問題では、データが逐次的にやってくるような場合もあります。例えばオンライン英単語学習サイトがあって、ユーザが回答するたびにユーザの能力や問題 (この場合だと単語の難しさ) を更新したい、という場合などです。\n",
"\n",
"このように逐次的にデータが来ることを前提とした最適化問題は Online Optimization と呼ばれます。これを解く方法の一つは、今やって来たデータだけで勾配を計算してパラメータを更新するというやり方です。これは、確率的勾配降下法とやっていることがほぼ同じですが、確率的勾配降下法ではデータセット全体はすでにあると仮定している一方 online optimization ではデータセット全体は手元にないと仮定している点が異なります。また online な設定ではデータは基本的に一回しか使わないですが、確率的勾配降下法では何度も繰り返してデータセットを利用して最適化を行います。\n",
"\n",
"今回は回答結果データは1件づつやってくるとして、その結果についての勾配を使ってパラメータを更新します。\n",
"先程の実装と違い `df.iterrows()` でデータを1件づつ取得して、その勾配を計算している点が異なります。"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"10000it [00:04, 2277.74it/s]\n"
]
}
],
"source": [
"from tqdm import tqdm\n",
"\n",
"# 問題の難しさ\n",
"problem_levels = np.zeros(shape=N_PROB)\n",
"# 問題の識別度\n",
"problem_disc = np.ones(shape=N_PROB)\n",
"# ユーザの問題を解く能力\n",
"user_levels = np.zeros(shape=N_USER)\n",
"\n",
"D = 1.71\n",
"\n",
"snapshots = []\n",
"\n",
"for i, row in tqdm(df.iterrows()):\n",
" _user_levels = user_levels[row[\"user\"]]\n",
" _prob_levels = problem_levels[row[\"problem\"]]\n",
" _prob_disc = problem_disc[row[\"problem\"]]\n",
"\n",
" sigma = calculate_correct_answer_probability(\n",
" theta=_user_levels, \n",
" phi=_prob_levels, \n",
" a=_prob_disc\n",
" )\n",
" sigma = np.clip(sigma, a_min=1e-8, a_max=1 - 1e-8)\n",
"\n",
" diff = sigma - row[\"answer\"]\n",
"\n",
" # 問題の難易度\n",
" partial_prob_levels = diff * -1 * D * _prob_disc\n",
"\n",
" # ユーザの能力\n",
" partial_user_levels = diff * D * _prob_disc\n",
"\n",
" # 問題の識別度\n",
" partial_prob_disc = diff * D * (_user_levels - _prob_levels)\n",
"\n",
" user_levels[row[\"user\"]] -= partial_user_levels - 1e-4 * _user_levels\n",
" problem_levels[row[\"problem\"]] -= partial_prob_levels - 1e-4 * _prob_levels\n",
" problem_disc[row[\"problem\"]] -= partial_prob_disc * 1e-2 + 1e-6 * (1 - _prob_disc)\n",
" \n",
" if i % 100 == 0:\n",
" snapshots.append([\n",
" user_levels.copy(), problem_levels.copy()\n",
" ])"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"ax.scatter(problem_levels, true_prob_levels, s=df[\"problem\"].value_counts() ** 2 / 5, alpha=.5)\n",
"ax.set_xlabel(\"Estimated Problem Level\")\n",
"ax.set_ylabel(\"True Problem Level\")\n",
"ax.grid()\n",
"fig.tight_layout()\n",
"\n",
"fig.savefig(\"./online_problem.png\", dpi=120)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uLba5NNdiejC7IUCVMhYFt8jVaouf3VphaiCDph3MJZ4gSvjRZ1U+uFPHMXWmBjIbWgxEScJyJ+Avbyyz2Pb4116aYKTg7OGItyfhRAghxHPts/kWis1ndnRNY7SYYWalR7XlMV7K7P4Ad8G715f44M4qlYK76ayIqeuMFV0GszY3am2+f2mBf+O1KXLbzIbV2h43ah3a/QjH0jk2lGN6cHf28Eg4EUII8dwK44TVXkDB3fp2VnBNVrsBbS/iIB4yWu74fDrXpOBaj12usU2dE8N5bta6XFts89qRgU2f9+GdVf7y5jJL7QBdgyRRFFyTFydL/Ob50R3vqyThRAghxK4JooR6L8DUNQZz9hdeZjE0DVPX6AUR9+o9am0fP4xxTJ2RgkOl6BInCkPnwJ7aubbYZqUTcGa08ETPdy0DTUtnnF6eKj9yXW7UOvzZ1SWiOOHs2qktpRT1XsjPb6+Sd0y+dbayE9/KOgknQgghdkWzH/LOxQVmV/pYhsZrR8p84/TIF6o0q6+FnB9cWsTSQdN0TEMjihVzDY9ytkc5a3FsKMfEAVzSUUpxZaGNaxlPFb4qBZe5Rp9qy2OyvPG6XJxr0uqHnHug0J6mpde5F0RcnGvxpaMDFNb6LO0EKcImhBCHmBfGtL2QME52/Gv9/NYKF+81yTkGUaL4q1sr3FrufKHPudoNmFnpEscJCo2RgsNQzmG06DKUt1lo9rlWbXNkMLtva7N8EUGc0A9iMtbTfW+uqRNECV64sUWBF8bM1fuUspsHj6GcQ6MfsNwJPveYn4TMnAghxCE01+jz2VyTa7UOYZyQtQ1enChxYaK0fmOqtdINkSvdAJ30HfWpSn7DKZCnsdzxcW2DctamnE07G7e86At9H5/Nt6j3Qr5+aphrtQ6LLQ/L0NE1DT+KyTsWug4H9JAOGhpooHi6JowqfTEPX5bHXSeFSr/mDpNwIoQQh8zVapsfXqpSbXmUszaOobPSCfiTi1WuLbb53kvj3Kx1eP/2Kstdn3NaCAr+5d/McWQww3cvjDFRfvolkrGiy+WFNrW2Rz+IKWUsypnPvzTghTEX55sUHIvJgSzFjEWt7bPU9okTxaSbYbTkEEQJN2tdOn60b2u1fF62qa9v+H0avSDGtYxHTus4psGRoSw/v73CWNF9ZE/QcidgMG8xWtzZY8gH66ckhBBiW41ewE+uLLLaDXhhvIi+dvMZJr2J31hq88/+6jZhpHBMg7OjRbL1GgCThQw3l7r8yacL/N7r01tO/W/lKyeGaHkRd1a6FF2LN44NcHz481du7QUx3QcCR8G1KLgWJ0fyG57X8kJa/ZCOd/DCCcCFiSI31mbA7hfMe5yltsdLUyUqm9Q6eWmyxI1ah9vLXaYHs1hGWshtqe3jhTEvTw6TtXf2Oh68n5IQQogtXa91qDY8Tlby68HkPtvUqRSctYJlWV6d3niTz9gGpyp5btTaXKm2+MqJoaf62jnH5O+8MkHbj7AM7Qvf4HQtPa3zcOfkhyWJQtc19H24y/L+2L6IU5UClULaRfrIE1TBbXkhpqHzwnhx09NSx4Zz/MYLFd69tszNpQ5Kpcs5A1mbr58a4s3jg19ovE9CwokQQhwi91Z7G0rSPyxJoNELOVXZfF+JZeg4psHlhacPJ5Ceril9gaWcBxVdi7GSy5Vqm6H81ssMK92AI4NZBvZJyfZmL+R6rc3laouuF2MaGidHciRRgmM+fYIqZSy+fHyQH31WZaHZ37bQXMePuLfa40tHBzhd2fro8ctTZY4O5rix1KHthTimwdGhLOOlR5d6doKEEyGEOEQSxSMzJg+KlSJRYG7zbt6xDPph/Eze9X8Ruq5xfqLItcUOjV6waQGythcSJ4oXJ4tPvOSxk65W2/z0yiILzXTjrmsZxHHCneUuF0yPgmMRxQnmU471jaMDeGHEX91c4Vq1xUjBpZS11n/WvSBiseXjRzGvHinznfOj2I8JQqWsxetHNy/SttMknAghxCEyVnL5xWx9rTDZo8EijBW2qWNsE2D6QcxEyd3TYHLfC+NFZlZ6fHBnlY4fUSm42KZOGCcstX2a/ZDXjpS5MLH3pWFvL3f5waUF6r2QkyP5DWEpUQptqUqzn/a/edoiZ7qu8Y3TIwznXS7ONdfL9WuaQikN29QZL7m8OFni1eny5z5xtVsknAghxCFyqpJnOO8w3+g/0qU3UYqOHzJVzuBtUffEC2PiJOGFieKmj+82y9D57oVRiq7JxfkWMytdorXgNZx3+NKRMl87NbznN+MkUbx/e4WldsDZscIjs1e6pmEbOr5S/OJug/MTpaduzKdp6UzSubHCeoG1IEowdI1y1uL4cG7Hy84/KxJOhBDiEBkturx1Yog/u7bEtcU2lYKDbep0/ZildtoY71tnRvhktsmtpQ6TAxlcABSNXsB8s8+5sSJnn7BU+m5wTINvna3w+rFBZla6+FGCbehMD2af2f6WL2qu0WdmpcdY0d12Wc02dZa7AdcX25+7a7Cua0wPZh8Jn88TCSdCCHHIfPn4IHnX5OO7DRaaHs1+iGsZvHl8kC8dGWB6MEul4PLXt5aZWelxSkUoBW094uXJMr95fnTbbrZ7Je+Y+2L5ZjNLHZ+2Fz22PoxGOoNyr9HfpZHtT/vvt0sIIZ6xRi/geq3DzHIXL0xwbYPjw1lOVQr75p31btI0jQsTJc6NFam1PcJIkXUMhh848fLKdJlTlTw3lzrMXq6hAd/80jTTA9l9sdfkeaOUQmP7zcj3GbpGtAvtBPYzCSdCiAMrThQ/v7XChzN1lto+lqFj6hphnPDLew0qBZc3jw3w5rHBQ3nDNXRt22OnOcfk5akyrTtpgDs69PkLph12WdvENHS8MH7s/hcvjPfNsee9IuFECHEgKaV49/oS715fxjF1TlfyG45nhnHCQtPjx5cXiRLF104O7Ur9hoMmSRRzjT63lrs0ewGuZXB0KMfx4dxjj6oeJseGclSKNrW2v22htDhJyFhpsbvDTMKJEOJAur3c5f3bq+Qck7Gi+8jjlqFzZDDLfKPPz26tcOQ530D4sPuh4Wq1zVyjTxgnFDMmpysFTlXyz6TdfRAl/OnVGp/ea9LoBZiGTpwkvH97leMjOf7WhbFti6MdJhnb4OXJMj/8rLplTZZEKbwo4ehYlmNfoKz/QSDhRAhxIF1ZaNHyQs6Pb79Bcrzkcrna4kq1dWDCSdeP+MnlRa5U27S8kJxtomsac/U+n823GS06fOP0CC9Ofv7No3GiePfaEn99c5mBrMO5B/r0dPyIywstUPD3Xp/a82O8+8UbxwZZ7QV8eKfOai+gUnBxLZ04Vqx0A0bDmIxl8M0Lo/uiYNxeknAihDhwmv2QG0sdBnOPf9euaRrljM21aoevn4p2vKHZTvPCmHcuLvDxbJOxostEObNhE2YQJczWe/zgUhXgqQLKYsvj2mKb67UOjW7AL2YbmLpGxjYJ42S9hkbeMTk2lOPmUpebS519e4JmpySJ4u5qj4Wmh66lFXVb/XC9c/CpSp6WF7LS8fHX6pAMZG3KmkXBsagUHp3pO2ye7z+FQgixCS+M8UNFwX2yv+IytoEXxvSD+LkPJ5/MNvj0XpMjg9lNO/Daps7JkfQUzl9cX+LIUJbiY5Z4okTR7AW8//MZVjsBWduk3gto9EJyjsHHdxsUMybTg1mODeXQtbSpX5Qk3KwdrnASxQk/vVLj49kG9V7AfKNPP0go5ywmSxkSpVDAcN7htSNljg7lMHWNStHl04+qez38feNwzxsJIQ4kTUv/eVy32vvUWr+Zzcq5P0/8KObifBPbNDYNJg+aHsiy2PS4Uets+7x6N2Cl49PyIkxN5+xYkWPDOQayNjnHYKyYYShv0w9iLi+0uFptrV9329DphfEz+/6eB9cWO3xwZxXb0EHdr6iriOKE0aLL2bEiJ0fytPohl+ZbAJwePZxH2rcj4UQIceAUXYtixqTZD5/o+Y1ewEDW2peFxZ7GXL3PYtOn8gSVRW1TR9c1rlbbWz7HC2N+cKlKL0j3QgwXnPUAZ5k6Gmk9DlPXGcw5ZEyDW8td7ix3AfDjhNIz2Hj7PLm93MEL08Z9802PomsxOZCh68fryzqWoXNiJE/bi3j/9irhIa9pshkJJ0KIA8e1DF6cLNELYqJk+7/4wzghiBIuTJae+02I/TDGjx9fR+O+zNpeCLXFDNPNpQ7Xax1cy3ikeNhwzqbgmjS9XwXAvGthaDp3V3vUWh4Z89kdiY3ihOuLbd75dIE//HCWH1yqcmupQ5I82ezYbokTha6l+3O8MCbrmNy/cgkbxzpectfL2ouNnu8/iUIIsYVzY0WmBjLcqnWIt7iBRUnCraUOR4aynNlHvWI+L0PX0NGeeDkrUelrNqvvopTis/kWUZxs2qHYWatnohSsdoP1a1xwDWptn6uLLV6YKDyTI7F+FPP9S1X+6KN7/NXNFa5W27x7fYk/+nCWn1xZ3FfVVKcGs2iaxnLbwzLS2aW2H+FaBuXMxuPDBdeiH0RPPMN3mDzfc5hCCLGFwZzNd86P8v2LVa5WWwzlHYbz6bJElCQsd9K9FEcGs3z3/Ni+W/OP4oSZ1R61lk+i0s29J0by2+4lGczZFDMWjV742KZxaq0D8WtHyps+vtjymVntMVJwwdv8cxwdyqJQzKz0WO54KAVq7XMXMzbfPT/2TGajPpqp88HtVSoFl2NrVWqTJOF6rcMffXiPmZUerx0pc3Ikv2n9kN10frzIraUO1xbb1HsBUZxgGTrHhnOUsxt/x9IZK43nfKvTjpBwIoQ4sE6M5Pnd1yb5aKbOzVqH67U2Sil0TWMgZ/P2qWG+dHSA0U2KtO2luys9/vx6jXv1Pl0/QtdA13RGCg6vH03L7W+2ebdScDkxkuPDO3WG8/a2FW+b/ZC8Y27ZXbgbRHhBzFDWBi/dXDy72qPeCwjWjr8WXItKwWG8mGH5gWOxYZRQKdrPpL6JF8ZcnGviWgYDuTR4dPyQywttljs+S22fRi/gzkqX0aLLV08M8cbRgT2r9utaBr/98gRdP+ZHl6pMDmSpFB1GN+lG3OiHFFxzQ08jkZJwIoQ40CbKGSbK6c1zoeERJgm2oTNRzjCY2/l32V4Yc3OpQ72bTt0P5CxOjuS3vHHPrvb441/Os9jymChnODqYzhQEUUK15fGjzxYJophvnqls+vpXpsrcXupyZ6XHsaHspjfpXhAx3+zz2vTAloXnkiQ98honin4Y4UcJH6/UUSo91aRQxEmP27bBSN7h5ANVZxeafdA04kR94RNQ948s3w8mfpSGlcWWz0DWxh0wiJVispyh2Qv5yeVFLEPn1enNZ4R2g2sZ/K0Xx1jtBkSJ2rR/UZwoqk2PFyeLTD6mU/FhJOFECHEoDK8t6+ymT+81+etby1SbPmGcHqk1DZ3xkstbJ4Z5aWpj/Y8kUfzVzWWqTY8zo4UNN3bbTMvtLzT7fDhT5/RoYdOb3rHhHL9+rsJPr9S4Wm0znHcYyNnoGnhhQq3t0Q9jXpwo8Z0Lo1uGB8c0QFN8Ot/kRSNG0zSGcs6G/kRKKbpBzMxqj44f8dJUmVLGIogSShkLy9j4uTt+xN2VHolSTA9m15fSun5EuLb88fCJKUPT0DVtfePrYstjqe0znHewDJ22F6IBtmFwZMjm5lKHj2ZWeWG8sF4Ubi+MFl2+cnyQP71aY2aly1jRxVkLpM1+yEKjx3g5w9dODh/KppOPI+FECCF2wC/vNfjhpUX6YcxkOUPGTm9M/SBmvtnnB5eqJErxygPv8O+f3BgruVuGhtGiy5Vqi2vV9pYdhV+ZLlNwTT651+D2cpebS20SldYdqRQdXpwo8cp0eduj05WiQ7MXcqPW4ZXJNCCYD+0f0TSNvGOSsQxqbY9Lc01ePVKm60e89VAjxdnVHt+/WGW+0UehGM47nB0r0vFD7q3201kWQ+PoYJbzE0WODeUwDZ2hvMNoyeFmrUs5a1Nt+WiahmXoaTjyI6YGs7hWOraxoku16TG72t/z5nlfPTGEZep8eGeVu6s9okShUOly2liRb54ZOTAtE541CSdCCPGM9YKIv7q5Qj+MOTmy8QaZsQ1OjuS5tdThr28tc6qSXw8JKwHI10kAACAASURBVN2Athcxsc00v65puKbBXKO/7RhOjOQ5MZJnseWx3PFJEnAtnenB7BPtBWl5IUnC2n6X7d/ZG7rGSN5huetzo9ZhuOBsOP2UJIr3bixzd7XLiZE8YZzw7rUl3ruxzMnhPMOFdBakG0T88LNF/vTqEi+MF/g3X5+mnLN5bXqA+YbHzEqXrhdhGTpRnFDvhWRtk6mBzHoQytgGQZTg7YPib7qu8eaxQc6PF7m93KXlhRiaxkjB4ehQ7rkv+reTnutwomlaCfjvgH8dyAEfA/+lUuov9nRgQohD7UatQ7XpcXSbd8WTAxlmVtLeMy9PpbMn9+uNPC4MaJrGk5b3GC26n2vD743FDrquMVp0CeP2+qkbpRSJSivwPjjO+7MqN2sdXj86wHjpV1+z5YVUmx6VQjojdGm+Q8ePcS2dyYEMxYzFnZUusys92n5EL4i5stDi8nyLf/jVo7x2pIwfxfzs5iptL6TRDwlzNgXX4tRIfkMvGi+IsU19XzUbzDnmF2qyeBg9t+FE07QK8BdAE/ivgBXgPwV+omnaa0qpi3s5PiHE4bWyVvfD2eYG6ZgGcaJY6QTrHytlLLKOQcsLt+x3o1S6QXW0uHP7Z5RSXKm2GczajBVd9PYyQZzuV2n1Q+JEoWngWialjEXeMUmUwg8Tco7B+YnihiUdxzRwLJ12P91YO9/ok7UNXMvANnRu1NpcW+xgrjXAqxR0mv2AG7UOf/jhLIq0o+/p0QLDBZufXqlxdDDLeDnzyL6SattjrOgyNSCbTJ9nz204AZaA/wb4Q6WUD6Bp2o+BWeA/Av6TPRybEOIwU+v/2tbD8yNHBrNMljPcrHUojJqbnrRZ7QYUXYuzo8VnMtTNhLGiH8Y4ls5Y0SXqaXh+zI1aB8vQcS0dHY1u4LPS8TF0jcGczUTZpZSxHwkMGdvglakSP7lc41q1TaMXUMpYjJdcokRxd7WPYxobas2UMmm/nsW2z/cvVtE1jWLG5OunhvHChOu1NmGsuL9tJkoSFhoehqbxpaMD+2rmRDy95zacqHT+839/6GMtTdOuA8f3ZlRCCAGlrIWuaQRRgm1uXoQsjBM0TaP4wA3ZNHS+cnyIlU7AreUu0wPZ9dcnSrHc8VntBrx1YmhHZwb0tcaJAPfqfYZihaXrHB/OsdLx6fgR0dq6kg6gQc42yLsmfrR5y4CvHB8ijBS3l9OTKycrBaYHMtxZSU/6jD+09BQnCWGcsFz3WWx6VJseoyWXUsZkrJRhvOiy1Pa4uxqjoQGKkYLDm8eGeHVq744Ri2dD26qnwvNI0zQdaAB/oJT6Rw891njMy0v5fJ533nlnx8a315rNJgClkqx97iS5zrtjP1/nOFEstjyiROGaBmptFkV7YK7Ei2KMtT0d5kMbI7t+WtI8iJN0AkZLOydbhkbWNimvhZ+dVGt5dIOYME4o6GmNlpUgXYq6v+dEoUiSdBlIkW6MtQ2dgazNYM5eP6F0XxAlLLY8TF3D0NPQ1Q0ivDDeUElWAUEUE8bpdTP19FSQaxlESUIYK2xDJ2sbaFpac8XU0xmd3eyPFCcKP0pQSmGbX/xr7+ff6Wfte9/7Hp1Op6mU2jRJPrczJ1v4HlAAvr/XAxFCHFxBlNBbu3EbukbGMjbciO9XT13p+jT6AWrtZm4ZOo6pP9CHxnwkmEC6gdK1DPpBTC9IZykMXSNjGxSczZd7nrWskzb1i2IFehpAYqXQdY3732kUA6QfU0oRJwplQBAnrHQDhjSbzAPLK5p2P9Rs9PB/B1FMFKf7WjTSDcDaWr0T2zCwDIUXxvRCGMk7W85O7aR+ENPoBQSxWg9HBdfcd20QnlcHJpxommYD/z3wLvCjhx/fKp098PqGYRilt99+e4dGuPfee+89AA7y97gfyHXeHXt1nT+bb/Hjy4vUeh62YRDGCdnE4Mvjg/z62cp6Qa12P+T3f3yNjxbqqLUw4kcJpazFV48P8fXTw3z52OCWBbjuLHf5aKbO7ZVu2jk4ggwGE1mXl6fKvDpV3tHiXR0/4h//0Sdcqbb4+1NdNOBHywPrj/eCiNVegKXrab+iOKEXxlQKDq9Ml8lYBi9kivyDLx9ZPzIbxQn/5wd3ub3U49RQesS61uzzN3frFF0LxzTo+CEzKz0sQ6MfxmQtk+G8zZvDQ2gPVPRVSvHpQotvjIzw7QtjO3YdNtPshfzz92eoJT5Hh7OYus5s0yOOEv7uqSnOjn2+JpKH6e8Ow9h+T9CBCCda+jbifwQmgb+nDtJalRBi32h7IX92rUajF3JurLi+tFJrebx/Z5XpwV91N76+1EEpxW+dH6XpRetVUNtexJvHB/jqiaEtv87VapsfXFpgqe1TKbicGS2gAd0gZna1z73VPo1uwK89EIaetbxjMlJw+GQ2Jkl4pNprL4hhratxrBRhonDMtGjaYsvj9GiBe40+843+eqEx09C5MFHiZq1LP4jJrJW+H845VFsew3mHei+g66e1TPpBhK5plLP2I03z7vdHulpt85Xjg7va8O/2SpfFpseJkfz6Us7kQIYrC02u19qfO5yIX9n9ubCd8V8A/wHw7ymlLu31YIQQB9Pt5S61VtrJ+ME9H5WiS8+PubHYXv9Yo5ceJx7IORwbynFhosSr0wMM5+31vRSbWe0G/OTKIvVeyNmxIkN5B31tWSPvmJwcyZN3TX52a5XPFlo7+v3mHQPbNND1dH+FF8Uo1PoSD1o6GxTGCTnbIOeYZGyDKFG0eiH9IKLjRxs+57mxAqcreW4td+gHMaahc36iSKXgMNfocavWpdkPqbU8vCghSRRtP2Kx9Whr5MGcTbMfstzxd/Q6PCyIEmLFI0typpEuxYkv7rkPJ5qm/eekR4r/Y6XUv9zr8QghDi4vTIiTzU/g2KZO+4EbccYy1xvn3RevNdN7eKPog64ttllo9Dk+nNty02ul4BLECRfnmus9Z3ZCGCscS8c1DUxDQ6m0oFrLC/HDdF+IbeqUs+neEscycE0D29C4udSh1vIfObmTtU2+99I458eL3F1Ni9DFSdq4TylFmCToa1VUX54qc26siBfGfDbfeiSE6JpGohTxo4eDdlSl4FBwDOq9cP1jwVpIm5T6Ks/Ec7uss7aU898C/xj4feAjTdMeXKi7rpRa3JPBCSEOpFIm3RfR8yOyD/SlSZTCj+INjQVPVnKMFzPcXOqsl6Ofb/QZL2a27PmSJIrP5lu4lompb//esVJwmF3tU13rXvysJUl6IqbgpMspjmlwfDhHP4iJlSLvBqx2AwZyFoam0eqHDLgWzX7AcidgtesTK3j32jI52+TEA2X8B3M2v/vaJFeqbS7NN6m1fGZWu8QKjg1l0XWdo4PZ9RM9I6ZOteUxu9pjKGevbwj2145qO7u8IXZ6MMuFyRIfztRZ7QZYhkY3iDhVyXNh4uCftNkNz204Ad4mDSYA/2jtnwf9+8A/280BCSEOtmPDWaYHs1yvtTk2lCNrm4Rxwt3V3loju1/tNagUXL57YZR3ry+z2E6XJKYHMnzzzMiGcusPCuL0FNB2Myv3ZWyD1W6Q7v3YAbFS5FyTStEhVgpNgWsZ68XNCq5JnEDXi0DTcNaqvS61fYIowTI0ToxkWWx5/PizRf7tr7rkHwh0Ocfk9aMDvDJVYq7R5//4+V3Gihl0XePiXJMHJ4007f7pp4BuEK9/nlo7DWY7Ec62Y+ga3zk/ynjJ5cpCGz9OODGc45W1rszii3tuw4lS6l0eLbAohBA7xjENfmvtZMjd1R5hlKBpaRD55pkRpgY29tI5PVrgyFCWajMNJ2Ml95HqqQ8ydA1dhyR8/FJNnKi0U/AObYi1DB1T15koZ3BDAz+MqbU88q6JbehoaBRck7YXolAUXJPVbkjbj8g5JnnX5PhwnlLGYmalx53l7qb9ZUxDp5SxcC2DgmvhWDozK10avZDBnPPAeDS6frp0AmktmCBKuDBe3JOjxI5p8PrRQV4/OrjrX/sweG7DiRBC7IWxksu/9eZ02mW2H+JYBseHcpSym79jdkyDo0O5J/rclpEuZ/zs1spjZwPuL6mMFHaux87JkRx3V7vkbANL16gUHeq9kG4QoaFRdE2OnhjCMnS8KOHGYnu9xks5m9b8sIy0rkuwzcYQ1zKwTZ1eEDOYszk5kufyQovVrr9WcE4njBWmoWEZOo1ewHyzzytT5fWmieJgkXAihBBb6AURt5bSd/EKRdY2OD6cZzBn88L4zvS2OTtW5JdzTVa7AYO5zY/HBlFCywv58vFBcs7O/TV+ZrTARzN14kjhmAZvHBuktVa5Vtc0cra5YQmq6Jpcmm+hlGKynMUxDZbbPkXXYiS/dYhyLYOzowX+7GqNsaLLkaF0BupGrcNco4+haXT8iLGiw8xKl4Jr8qUjA3zn/CgZ21jv5rwbxenE7pBwIoQQDwmihA/vrPLLuQaLzfTEyf3S88MFmzOjRb52amjLzsFfxPHhHK9MlvjZrVWSRDGYtzec2un6ETOrPU6N5Hl1euOsQbMf0vbSEyQF1/rC+x8myxmOD+fw7iUYtrZec2QrE+UMl+bTYDWz2uVevYeuabxxbJChLYLWfS9Nlbhea3O91qZScNbK4UMUK6odb63Qm8P0QJZvnh1mqpzl9nKXK9UW9W6IAgqOybnxAqcqBdn78ZyTcCKEEA8I44QffVblgzt1XMtgejC7vgk0ihOWuwHv3VhipePz269MPPOboKFrfPuFUTRN4+JciysLLbK2ia5BL4yxDZ2zY3l+68LYelCYWelyeaHNtcXW+gbZrG1ydqzAC2PF9ZmIp6XrGt86O8KfL6b1O6JtGhnWez6/vNdcq4Jr0uqHGLrGQNZmrtHnn79/lwsTRV6cLG0a6kaLLt95YZT/6c9v8c7MAv0g/V5dO63tMlnOYJs61Waff/H+LKauE6sE0NIeO2jUWj5XF9uMFBy+dKTMV44PYW7R76blhdRaPmGcYOppQbfhbWZ3xO6ScCKEEA/4aKbOB3fqjBQcBh6aJTANnbGiSzljcXmhRdYx+N1XJ5/5coJrpRtvX5wscW2xzb16n1gphnM2Z8YKHB/O4ZjpcsYHd+q8e32Jei9gMOusbyJteyHvXlvis/kWb58e5s1jn2/jZqXgMpSzWe0GfLLUwbF0KgWX3FrTvTBOuLzQ4vJCi0QpzowWeGmyhP3Axt9+EFNre3z/YpWbtQ6/9eLYhhNL/SDms/km//fHc1xdbBFGioxtkrUMJgYynBsrUMrYKKW4Um3zi9k6lqHz5tFBjg1v3M8TxmlzwR9frtELYr59bnS9fD7AXKPPlYUWVxba1HvBet+igmtyupLn3HiRE8M5WSLaYxJOhBBijRfG/PJeY72z7lZcy2C06HJzqct802NyB46y6rrG9GB2vfT7Zj6da/KnV2ug4IWx4oYbat4xGSu6zNb7/OmVGhnL2PS0zFb8ta7AlqFhmzojBYffmZ7g4nyTasPjXhSvF2Wrtbz1ommbzT5k7HRTsBdEfDrXouNF/P03phgpuDR7Ie9cWuC968vcWelSdCymBmziRNHxIxabHkrBhYkiXT/m7lqtkyhR3FruUMpaG35WlqEzNZBluePzs1urDGRt3lgLZh/PNvizqzWW2z6lrM1EOYNpaCQJ1HsBP7u1wqX5Fl85PsjXTw1vOesidp6EEyGEWHNnpctiy2ei9PiwMZCzubLQ4sZie0fCyeP4UcyHd1bxw2TLom6apnFkrS7L+3dWOTNa2PbYbZwo7qx0ubrQ4vZKjzhJMHSd6SAgaxu8fXSAV6fLzNZ79PyYlhfy48tV8o7B+fHSlrMNSilmV3tcW2yz2g344PYK799Z5d/5yhGqTZ/Pqi2iOKHoWFSKv5pRydjG+kzI/U2vfhQzVsygUFSbHvON/qZBcjjv0PYiPp5tpPtZFjv8+LNF/Cjh3HhxY/VdPV1WGi26VFsef3F9GU2Db5wekRmUPSLhRAgh1rT6aXO+JymCpmsatpkWQtsLt5e7zDc8JkqbF3R70Hgpw0Kjz52V7npjwge1vJCOF/H+7VUuV1t0/Yhyxl5rvhfT7Id0/YgfXqry6+cqnFyr9vrRTJ04gTOjv5q1ieKE5U5Ax49QpFVmb9ba3Fzq0gtiTF0jThQX55r80+9fwTEM3jheohvEFDfZv2MZOsN5h3v1PsD6zIy2ttdkseVxfDgtiPew0YJDtelxca7Jz2+v0g/j9bFvZazostDs8/6dOseH89vOXImdI+FECCHWKKXgOelpXm16eGG8oYz+VvKOyd2VmGrT2xBO7ix3+Xi2we3lDlerbZY7PqcrBV6YKG4on+/GaSXcv765glKK764Vors018Qy9PXOvKvdgCvVFo1eQBgrkkRRa3usdkNyjkGl6GJoGgmKRi+g68Ushz7JrYScYzGU23xDqmXoax2dQ6Ye6F2Td0yWOz4r3WDTcJJ1TPwo4W9m6tRaHseGtg8m940WXa5UW1yttiWc7BFZUBNCiDV518TQNbzw8SXh1Vo/nfIWxdd2Wpyop1py0LSNTQivLbb5V5/M8dFMneVOwHLHR9N0ZlZ7XJ5vb3gupAFhtOjy8b0mt5e7LLZ9qi1vfSaj5YV8Otdkue1TcC3GS2kp+vszKJDOqgDoaGunbRQFx2Sx5dPsbT8D5Zg6Uaw2dHQ2dJ0E1qvGbkbX0nopuqY/cSVZXdMoZ2yuVNvrR7PF7pJwIoQQa44P5xgtOSy1/cc+t9kPKWUsTo48ukyyGyxDX7/pP45SCqVYn+Hwwph3ry1R74acGcvjRwmWoTNZzpB3TGbrPWpr/YAeNJCz05M1Cy38MCaIk/Wme3P1PvVuQKWQlugP4phGP0DTNDKWQRirDX2A7ncUdm0TSDe/bhsydI2EtMnio99g+j9RkjDX6HO12uL2cpd+EBNECf0wpug+3UJBMWPR9UNaXvT4J4tnTsKJEEKsydomL06U6frRtu+YwzhhvtHn2FBuwzLDbpoayJBz0noij9PyIgquuT7Wu6s9FpoeUwMZ/DCh3g3IrS2LZG2TKEk3oW5mMGczs9Kl40froWC1G3Cz1iFRCd0gIkoS2l6EH6Y1RLS1HkB+GBMlaQDRtLQ5mlIK0zAIovQ1W9E1LV0SeiCcJCpBI+27c38fyy/u1rlSbfPLew0+mFmhH8Y4prFxA+wT0DVIFMTxc7LOd8DInhMhhHjAG8cGWGx5fDzboJyNGMk760dKE6Vo9EKqrT4nKnm+/UIFfYca7z3OkcEsUwMZbix2yLvmljffRCkWGn3OjhXW90/0ghg/SsjaJi0vJE7UeqE5YH0j7GYcU6cfxuiaRi+M+WS2wWo34O5qD02DRi/ENnUSpUiUwjYNukGEvbaMkySAnuYax0yLu+Vsg66ftgvYqmR/FCssU1s7nROTdy3COCFnmwzkbJY7PvMNj7xjkrXNtZNHHY4OZpkqZzb09un4EUvttACba+qMFNxHNkEHa7NJe9FUUEg4EUKIDVzL4G+/NE4xY3J5ocX1WictXK9BkijKOZvXpgf41tmRPa0oaho6b50YTmctljocH85t2MQK6TLH7eUuwwWbt04OrRcjc630puuFMbqWzmI8OCMRxRvDyoPiRGFoGotNj7l6n8WWR6XgkHMMEpVePy9MT/hEcUI5Y6GjEUQRhq6joVAo4jhJQ0U7DRQJ0PXTU0FqLdTcDwatfshKN11qW+74dLyYrBNgGRovTZbIOxbL7YAwTsja938m6f6UYsbiwmSJv7yxzEQ5w716j+uLbVpetP5zLWVszo8XNzRRXO4EHBvOMpzfvuy+2BkSToQQ4iEZ2+A758d4/eggN5c61LsBiVLkHYvjIzkmSu76ZtR6N+DaYptby13COGEk73BmrMCxodyGyqQ74VQlLWP/0ys1ri+2cS2TgmuCgrYf4YUx42WX3zg3yokHjtAeHcwxWnSYa/Q5PpSlkDFZbqcnXrwwRtPSEyubWekGFByTv7lbp5y18MKIUsbCC2NqbZ+sZZBbm7lYavt0/TQEdIIYU1fQ8bEMHV1Pe+dMDGRIEgVK0exH9MI2lq5jGhrljEXBsZitd9E1ODmSZ6nj0+gGNHoBeedXDQUztoFl6PT8iFgplts+WUvny8cHOTtW4ON7jfVaK36UMFp00bV0OWi543N5oUXBHcS10iWmOEm4MFGSQmx7RMKJEEJsYTBnM5jbuuz7zaUOP/qsylzdwzZ1TF3j2mKbT+41eHV6gG+fq+z4ssC5sSKVgsu1xTaX5pq0/QhNg/Gyy4XxImdGCww8tFSSsQ3eOjHMDz+rcr3WIe+YzK32WWp7xIliejBLpfDorFAviIhVQj+MiBW8PFWmH8asdANKWYu2F9H2IzJrpes1La28qmkapqHhGBp+nNAJYgZyFufHS0wPZnj/1iqLLY9YgQoTMBRBlAa/gayFaxmUMzY5x1o7ARRDlKyNJSFcm6HJWjqfzjXwowTH0nlhrMi58SJHBrOcHM7z/YsLtLyIyXJmPVwausZQ3mal47PU9pkoZ7i93GF6MMuZ0Sc7eiyePQknQgjxOSx3fH54qUq15XG6kt/wDnul4/OzWyvkHYO3T4/s+FgGczZfPTHEG0cH6K8dg85Yxrbv+l+aKmGbOn9zt86d5S5Zx6TthVyYKHG6UnjktYlKq8cO5mxavZCpgSwZy+DsaIFL8036QcxY2WV2pc9C2yOME4IwJkxAQ2EYOmgamoLBnMVIwWYga+OYBlGimChnOTGS5UatS72b1knJ2AaObZAx00qxyx2PKFYcHcziWjqtfkjHj7iz0kUlin4UU87ajBQchgsOhqbx6b0mZyoFvnN+lPdvrzDX6NML7fVmgQCmrqNUGqQ6QcREyeW3LoxR2IGu0+LJSDgRQojP4Vq1zVzD4+xo4ZHlm6G8Qy+I+XSuyWtHBshtUSjNC2NuLXWZa/Two4SMZXBkMMux4dz6sd+H+VHMYtPHj+L0mK5tMF500XUN09ApPMUyxNmxAqcreZa76azBjy8tcmuly9VqmyNDGWwjDQUqjFEoXhgr4pgGn3Tr68XfxksZlIIr1Rar3YBYJTimRt628Eyd1V664TaIEqIkwTWNtWWXgA9nVhjOO7iWzpnRAicreS5MlGn0Ala6AQuNPostH0OHRj9iaiDD0aEcQzmb+WZ/fXYqShT1ns+ffFrl9aP2elPBlY7PvXqfei9gKO/wa2dHmG94BFFMq59u3DV0jThSrPYCxiKXFyeL/Pq50T1pSSB+RcKJEEJ8DlcX22QsY8t9JSOFdE/HfKPP6U1Kxl9fbPPn15ZYaHr4/z97b9Yj6Xmm6V3fvsSekftS+0ayyCK1Umpt7J7uUa+jMcaA4aMx4APDBnxkn3kAG/4D/gH2kWF74DFmMI2GpNZoV7dWiiJZVax9zS0iI2OPb19eH7yRUZmszKoiu9QtluIiCIlZmRFfRGbl+3zPcz/3nWTomkqa57iGzuqMw1vn5w+4k3a9mBvNIVe3+uwMI9Lxiquta6zOOLyyXObsfOmZrPf3o6oKtqFxZ2dEkGakWc76yGOrH7BSdai4BrO6SsHS+cobK3z7SgNDe/QcaS71G46h8esHXZqDEEtXUVAQyNGOpsp131wI6fTqJyS5/P+OIX1OGoOQtXFBNFeymSvZrFQd7rc9vnpujnu7Ptv9gCDO2IgDFss2b12Y4/Q4V6jrWfz8bueAw2+ai/Hzy+/RpbUaN5ojun6MitTPxFmOF6W8tFjiv/riCc7MFXnYDbjX8siFoGDpnJ4rUH1CEOSU58+0OJkyZcqUj4h0h80xD+lSCCEYRilxkuNFyQFH0z1uNod88/I2PT9hreYeKChGUcrt5ggvSvmr11dYqTrcbA753rUmW70Q29CYK1mT5/bjlBuNITcaA06PBbJ7nYNnIc1y/vZKg/c2eswVbT5zYoZhmHBv16PqGvzl68vsjoPwCpaOrikkacZGVxYLXiQ7OCVbrgwvVmShkuWCnUGEF2coCCxdJ85kknHR0gjTnAuLZb58do7fPOxya2eIqsAbx2qTTaHdUczxusuXz87xlXNwqzmi48c4hsaZ+eKBbalaweT0XJFf3GuTjTePun7Mm6fqk8JibUY+1t/f3qXtRdQLFrkQXFqt8YcX5kgywf/zq3W2+7K7AgqKIvN8Xlku8wdnZo/cYpryfJkWJ1OmTJnyEVEUhXrBpNELgEft/44Xc293RMeL8eKMPBf88l6b+bI1OUjDJOPHN1v0/IQz88XH/EmKls7ZhRI3m0N+cqvFG2tVvn21Qc9POLtQfGxd2NRNqq50br3RGJGkW/zV6yvPvOZ8bXvAT++0SdKcQZCgKgozBYtTc0Vaw4iBn7D/Eh1D4+bOEFVRUFCwDI1RFHNtO6IfxFi6ykrVZaFskwv5ngSpdH8tWBpJKvUnJV1jvmThmBqX1qqMxvb3/SDh1dUKwzClbBt8/mR9Mha7tFZ94mt568I8uqpwuzVCQeEPTs/y5XMHNT+fOznDSs3hbmuEH8mwwbMLRe7tenz/+g5xmrNUsSdZPVLrEvGjmy0GYcKfvbqEpU8LlN820+JkypQpUz4GLy2VubYts1dKtkHHi3lvo8cgSCjZOlmeU3YMbu6M+Ov3tvjG6yvMFEzutjy2+yFrNfdI4zRNVVis2Nxqjri/6xEm+aGFzH4cU+PsfJFbO0O+f22Hf/Xp1acaxF3Z7PN///IhH2z3mXEtdE1BCMF2P6RgaQgBD9oey+PPT7Ochx0fP86ouSYzBYsgzhiFKZoihaV+nLHVD8hy6TGiqNLd1TJUklQa7kujNI160aLjxdzeGZIIgamr3GmNsA2Vt84v8KnjNc4vPns8QNHS+dNXl/Ai6TR7lNZnpeoc0JQ0+iF/f3sXIXgstdjQVJYq0o33vfU+qzWXz544eoNryvNhWpxMmTJlysfg7EKRV5bLvLveo+amPOz4DIKEqmMw+lwBxgAAIABJREFUCBNqrsmrqxUqtsnt1pD313t87cK8FL8m2VO1IVXH4P31HgL4gzOzz2S/bmgqyxWp09joBhyrH52o+/5Gj+980GQQpJQsg/mSNVmvzYXMutnq+VxrDFiqSu3I/bbPzjDiZL1AcxiRZjn9ICZIMiq2gaqq7I5COdoKEyxj3F3RNWqugRelFCydsm0wX7ZxDJXLGz36QULZMSjPGTxse3hRxlzJ/EiFyX72ipL2KOJBxyfPBUtV54A/zX5uNmUi84XF8pGPWbYNdocRVzf7XFqt/tZWxNNM8Kv7HYZhghCyU3V8tnDktb+oTIuTKVOmTPkYWLrG1y8uUrA03n7Q5U5LGoX5uspc0eLUfJG5otR+lG2Da40BXzhTJ0rzZzL2yoXcIKkXrCM3dw6j4hhs9QNuNAdHFic9P+YnN3cJ44yLKxWCOGMQSjM1kJ0OQ1NlR2gU47kpRUvnTmuEH6dcWqvx3kaX5kCarKmKMgn4c02dUZiSZQmGLj1EciFD/1RFpewYLNccLiyW2eoFdP2ExYo9Kb4WKg5elPLOwx6vH6s9dTyVZjkdPybNBJauMlMwURSF99Z7/Phmi9YoQghBxTX59LEaXz03d6CjlOeC640BRfPoCIA95koWjUFIox8+sfD7OPT9RI7A4owr724hlb3ST7fqmJyYdXnzVJ3V2vN93t9VpsXJlClTpnxMCpbO1y8usVSx6YykEVnVNai7Juo+bYita0RpTpzmuKY2Cb97Ev0wIYgzZuY/2paIoiiUbYPbOyPeOn94IXRrZ0RjEHJmvoihqRybcbjd8mgOQhxDI87k2u/J2QKOoeGPOx49P8bSNRxT47XVKte2B9xoDBlFKaoyHt/oKkORkwkVS9fIc4FlaCxXHJYqDqs1h6proqkKlzd72MbBUD5dVbB1lY4X0RyERxYnYSLTka9u9WkOIrJcYGoqx2Zclqo2v7rXYRilk3HYzkB6zyxV7QMdkjjLSVKB+QxCV0uX6cpxdnju0Mel48X8zftbKEGCoakHtEV7eU7vrcvX+acXFw+4/b6oTIuTKVOmTPkHslpzOTbjgsKkW7KfUZQyX7awxz4mrqlPtCpH0RnGGLp6IO/lWTE1lTQTxNnhxckHWwMsXZ10ZM4slHAtXRqUxRkV02CparNWc2VI4EAWVlZRm6wwu6bOp47VqBdNfnm3Q9ePMTUNQ1OouCZvHKvxRxcW+MHNHaq2wam54mOjEJWDKcMgt52EAqqikuWCa9sDGv0QFFiuOJyaKxCnOd++0uDKVh8F2Z2Rqcc572/0+PGthEGQ8LXz85NDfrFic227z72Wd6A4MTQVTVNIoqcXjHEmU5Y/SifraSRZzneuNrjZHPL6uFDL9xW2UqBsUnEM7uwM+U8fNPnPP2MeGZD4ojAtTqZM+YTTHkXcbI64vTMkSHIKpsbZhRLnFopTb4Z/JOpFi1NzBX5xr0PNNQ8cXn6UEqYZryxXMDSV4/XCJE347IJ+qE9KnMpRRdUxKFoffTNE+osoh44pkizHi9MDmhdVUVituaxUHdJcoKmPvtYxIBdy/HF8xuXdhz3iNEdV5XjI1DVeWanQ6IekWU6c5ZRsg//urTOcnivS8SMa/YgwzdjuB6S5LEZKps5c2aI1ktqVvSLKi2UY4UxB5931Hg/bPmGSIQDX1HhpsUQmBO9tDDg241LcJ3ot2TBbsvj1gw7b/ZCNrs/J2eK+16kSZQeLEE1VODtf5AfXd8iFeOJoZ3cYMVe2jswd+jjc3/W40xpJgbR39HNrqsKp+SK3miOuNwZ88fTsc7uG30WmxcmUKZ9QhBC887DLT2+3aY0iTE3eCTcHOdcbQxbLNl8+N8trq09ev5zyfPjC6Vl2RxG3mkPKjoFjaIyiFD/OuLhS5tJaBZB36l88Veduy+O71xoULR1bV0lyiNOMIM4I04xj9QIrVYcgzil8xOaJF6esVp1DfVjkCrAsOD6MoigY2sEDUux1NhQZNFh1dX5+bxcVGEbStE0+rtzWMTWVL5+d5aUl2Z1Yrjj84HoLVZHFjBdnUnejKpQdHV1TaQ5DCuPV3Y4X8dJiBcc0uNkcslZzJx2mfpDwk9tt0izn3ELpQGGynxP1Ard3RtxoDFmtuTIQME4BwVrtcefX84sl3l3v0RyELFUOd4bdKzIvLleeq9fJte0BYSILOrwnf66uqrimxpXNPp/a5wfzIjItTqZM+YTy3kaf717bIc8FZ+YP+l+kWc7Drs9/+qCJrqq8vHz0FsKU58NcyeIbb6zy3nqXa40hcZpL866VMpdWq7imTseL+WBL6iS8KCVKczojn64f48cZmQDXVJktWARxii+kUHL2GUc7YZIxChM6o5gvnqofukq8t6b8mwc9eAaL9m6QsKwqGKoq/VuijO1eSDxOYK65JiiycNgZRRQtneYw5GZziGtq3GgOGQQx/SBF00Dk4BoyT6fZj1BVhdmiSdHS6XoxJ+oF/vL1Ja5s9qm55oHRV8UxpAFcL+CNY7Ujr7lWMDk7X+JaY8DbDzrMFi2yXPDyUnlSNO1nperw+ZN1fnhjh4cdn8WyPRlB5ULQ8WJ2hiGvrlQmReZ+hBCkufjI454wyVjvBFTdZ8/wmSmYdL2Y3VH0Qotjp8XJlCmfQII44xd3pXHWYeI4XVM5Ob57/Pm9NmfmH5/3T3n+zBRM3rqwwBdOz06ycvbe9/WOz99ebXC/7VG0DF5aKnNprcq1rQHvbfaoFxVcQ0MoIAREaT4Jo1vv+qw94SDq+THb/ZDGIKQ9ilAV+OX9DkGScWGpzKnZwoE11JeXKlzdGjCK0iO7DzA+mEcRZ1yZh/M3728TpzlfOz/PVi9gdxTRDxMUZMFx8niNtZpLYxDy1+9tkucwClNWqy4dv0+eCsr2o7FX2TboBzGtYYSpKXzl3Bz/4o0VCqbO2/e7lJ3HD20BIJTJeOgwVEXh0loVP045XnM5PlvgxGyBl5fKE3O1/SiKwhdP1zE0hbfvd7m3OyLNBbkQCCGYLVp87sQMb12Yn3z9nufLjcaQhx2fTEhB7pn5IucWSiw9w+pvmgsykT9mrPckdFUly5lof15UpsXJlCmfQG7vjGj0wwPZKx9GURSWqw5bvYB7u97H9oyY8mRaw4i7rdF4Y0WKF8/MFydruSALk795f4vtfsjZ+dLkcE7znH6QULHNA8LXXAhawwjbUEgzwQebfeaK1qFt/M1uwI3GgGGUoiAP5jPzBSxd42d323ywNeTN0zOsVh3WuzKbRlMVSrbB/faIs/OlQx1P91KIZ0sWjqbR9WOaccjZcdDhQtlmECaEsbSvL1r6RMdSsHR+frdNox/w5qk6G72A1ZqDH2fjf9OJ1kYAWS4Ikpyvnpvn9FyRQZjgGBpeJF1i9xMmOZrGoSOrvfe0PYoZhAlBklF2TU7PFzk9VzzSlA1kxtDnT9VZqTn86GaL99d7+HGGZWiUbONAGGPHi/nOBw3u7Xp4YUrZMdBUhUGacH/X4+0HXV5ZKvPWhfknjl4MTUFTVMKPsP2T5rnMKnrBbzamxcmUKZ9AWiMZSf+0mXPB0ok6Ga1hNC1OnjN+nPKjGy1uNIY0hyGDIGEYpuRCUC+YvHm6zl++tkyc5nzz8hab3YDzi+UDAthhkDIIU0r2wV/FqqIwX7ZoDSIMXXqI3GoOWaw4zBTMyWM0ByHXGgOCOMXSVZJMcG6hwEtLZTRVZaFsc293xP/+47vMFExcS0dTFDIhRa/DIOXKZp/FsiPzenSVXAi6XkxrGDJTsPjDC/M0bm4TJTlrM+6B6y/bBmXbIE5z2l7EzjBHURQKpgZC4MUZ690AL0pZKNsoCEZRxjBKSVKpVTF1FQX5ubteNHncC0slfnSzRdHSD2hOFAXK1uNC4iTL2ewGbPYD+uMxWZhkXN7osdH1mStZXFgs8fpa7cgNqIdtn29f3Wa9E1CyDZaqMnF5ux/yH97Z5PxiiS+crvPDGy1u7QxZrbocnykceAzZbYr56Z02YZo90e7e0jWO1V1+ca99pNblw7RH8TgO4cUWu0+LkylTPoGk2ZO3Cg6iPJOvxpRnJ0wyvnW5wbvrXaI0p+fHDMMMgUAIuNkccXmzz79/Z5OKrdMaRcwWbQSwWLapFUxURSHLBbnI0dRDRg0ozJYs7u16rFQNPnNiRo4RmgNcQ8fUFa5sDmgOQiqOjmVonJ53ODVbQBuPCaJUFqY7wwgBvLpawTbkcw3ChDDJ0FTp/vqg7U1SfCuOwaW1Gm8cq3JqrsjdKylinNC7nywXPGh7PGz7dIMYIRiv2iq0vZg8FzQH0jFW/rwqlGz1sRXqJMvp745oj6LJx95Yq3F1s8/P77YnXanZosnrq1VGccruKJpszUSp9DzZ6PiTrpAQCksVh8+enEEI2eH60Y0W93Y9vv7K0mMmajvDkG9d2WarF0z8X/ZYKNv4kSzk3l3vAnB+sXxo0aEq8vtmGirvrfdYqji8eap+5M/SS0tlLm/2GQQJT9sBSrKcIEm5uDL/wuf7TIuTKVM+gbimTi7EU1cfs/Fhc9ic/UUjG2sQDlvNfd5c3uzz/kaPXMhcllxIvYmhqQzDhFGUEiY593Y9dEWh6OhUc8HtnREbnYB60eTl5TKWoWJq0qDtMDHl3maNH6X881cW8eOUm80RN5tDtgcBQZKxNuNycq7AfEmmAfeDhL4fIIBBkLDdDzg24zIIE3ZHMas1+bNQtg1eXqpwuzXk1ZUyazMFolSOfOZKFotlqZnwopQokau++0vcLBdc3uxzZbM/LnIUNFWhaGnoqsYgTEFALuLHOkNHsfezvNH1+e4HTXqB1MRYukYuBIqiEKWyY7g7jLB0laKtc317wMO2T801sXSVfpCgqnBsxp3oOZarDvMlizutEd+6ss033lg5sBJ8eaPPesfn3GLpUA2Ia+nUixY/vLHDxeXKU4uDsm3QHsVc2ezz+lr1yC7nibrL2fki7230mDWO/vuc5jl3WyPWZlwu/B50QV/831hTpryAnJwrUHVNen7yRDOm9ihixjU5OVs48nM+6TQHIe9v9LizI/cwT88VeG2t+ly9KPYTpzmXN/tESc7OKJIdjnGLvR9IYWqc5nKrwk8IkxQhpEai6hgEScZmLyDNBK+ulqkXTR62fRxTJUxyhmFCnOZj/Yjsauiawv22x8WVCvNlmy+dneXvb+/iRxkvL5VRxl2Ya9sDNro+QZyNt0wSNBXmSw65SOgHCav7llxMXaVkGdzd9fjyublDi9g4zce+KQc//rDt8ZuHHcIkx9I1dFUhF7A7iqWNvaHRCxNELCjaGmGSHXlAj8IEW9c4XndpDkK+eXmbjU7A8XqBcwuPDuJs3Inp+dKNt+PHXN0asNnzKdsGUZrT9WMcU+P8fInVD60N65rK6fkiNxtDfnpnl3/5xioAwzDh+vaQims+UZwqi86MUSQ7SU8TvC6ULbb7Iffb3pG5Pbqm8scvLxCnOUFjC11VSLJHxWqWyzHbzjBkdcbh668s/V74F02LkylTPoEsV2xOzRV452EX19QO/aXvxym7XsQXTtU/lsvoJ4EozfkPv9lgvRNMBKg/vNnizu6Iv7y0ciB59nnRHITsDEIyIfCilMWKLILCJKM5CMcmZDoy8k6Q5YIsEwzChIKl45o6pqbSHAaYDZXjsy6tUcTVzcEBT5EkE8RpTsUx6HoJVzZ7bPYChmHKWs0hy6UR2t4B+bDjy0RfXWOhbBNnGY1BRBCk3NoZYKgqQZw+9nqqriG7LUFyaHEyWUfetxyS5YLrjSGjKGPmQ6Zztq4yiGRKsakyNnVT6fkx8yX7sfXmPBc0hhEvLZb41LEa3/mgyYO2z6m5AkIIojQb61JkZ0aKvGWx9NWzc/z1e1uAgq6paKrCmfkii2Wb+hG297qqMl+yubcr7foXyjY9P2EQJcw9xVBmFCbYhoYfpySZwNSfXJy4pk6S5QyCx9/3/VRdk796fZkf/vgOfpxxpzVCyGgdEFArGHz25AyfOznzzNqUTzrT4mTKlE8giqLwRxcW8OKUG9tDKo7JbEkeEnGa0xpGjKKUi8sVvnJu7p/6cn9rDMOEjSDgwj6h6VJFcKMx4Od32vxnn1p57kmuSZYTJhntUYRjasjBi9RwBHFGyTEmH2P8v7qmMAgS5ooWuqaiayoVx6Q1ipgvW2NTNLHvK6Bg6iyU5KbIRtfn3729wam5IkVb5+pWn5WqDUKZjPc2ewGqokzWb4M4x4/lnX5jEGGoKrahcn6xfEDzIZC27DuDkCwX9PyYnp+QZAJVVShZOoryaGwGUpi63Q8wtMet3PcCAMNUbvHkIsc1VFxTpzkIxwWaLKb9RGpiqo7BN95YoR8k/Op+h56f8PO7HfLxWLLqGixWHOaKMgRxoWxzozlgdxQxWzRZrsxStA0MTX2mlflaweRGY8Ct5oiFsj1eGeapPyv5+HMEIHi2Vd69baSnUbKNsa+L4OyJFYah7M44hsaJ2cJvrRP4u8q0OJky5RNKxTX4F6+v8Otqhw+2hqx3AtJctoNniyZvnprhMydmnrg++UkmzQRhkjNXsg/oTDRVYb5ks97x6T5l7PVxMDQVISBIM0qWPOSzPKfvJ+iaisqja8mRh6uhypyYNBfsSRUcQ6Pnx7y73pMGYctl4lRMRjq2oU1Wc1vDiMYg5ORskbPzJR62Pbp+QtmRxmW2IccmzriDlgtB24vIxXhdVVWwTYVgrIN5bbWKGAfKXd7sEcQ5/y5eZ6sfyrt8RVAvWFQdA8fUOZXn0gl2PNK4vt1ndxShqQp5Ds64e6eND3ddlWYtlqFhGzqjKOPVlSptV3qadINYvh+Z3Gz6i9eWePNknf/zFw9450EXx9QoWtI9Ns8Fm92A7X7IQsnmpaUSUSoYhil/d3sXIeBTx6oHghafhqYqmLpGYxACULR0XENjGCYHbP0/jK2rREmGrWvPZLiW5vJ7+aTH/DC6qvCpJxjM/b7wYv7WmjLl94SybfDWhQU+c2KGrZ5cLzZ1lZWq88IWJXuI8T+69vjdrq4p+HH+W9lSWijbzJcs3tvoTYqTMM2Ishxr3127EII8FxiqOmnP779SRZGDn0Y/5NRcAVPTMDXgkMmCpsluxPYgYBQVidKcYxWHkmXw3kaf43W54ru3nhsmGWGSU7ZlknCS5cyaFvWiSXsUMYoSHrR97rc9WsOIk/UC2/2Ini/9RQSCfpAggIprosZyhPYf336IY+qEcQYC0gxCJSNIMyxNpeIYWLomR1k5zBYt5ksWYSot+Q1NZb5kTfJzlisOXzo3y2eO1fjhzRbvPuyiqQor1YObNCXbIEozbu+MuLs7mrjJZuPiS1UUTs4VpFvtM6KpCmEi/UXqRYvT80V+ca/NXMk6soNScQwURZlsWz2N3VFMvWjKUMgpH4kX+7fXlCm/J5Rsg/OLz26B/SKgq+rEUv3Dh1Lbi1mpOVSd5y8cNHWV14/V+MGN1kSnkefsW5eVBEmGa2kIIccXe52A/YSpDMpznjCKCJOMkq1TL5jc3/X4/rUdTs8XeWW5wnLVoTmIWO/4zBZN7ux4FKxHBZmhKXJcocqDVR17nFzb6nNv1ycXcHa+hEDQCxJWqo98TLI8p+3F3NgesFSVnZN7u9LddqZgYOiq1IOo8sAOs4xekFB1wItSFAVO1h10XePPzyxxer7Ig10PP5EakoWyzdn5IiXb4GHb5931HvWCRS+QguAPj2eiJCdIMgZBzPF6gZJt4JgqHS/hYddnGCa8ulp95k5ZlosDWq1XVyrc3hnxoO1zvO4+VqCkeU4/TFipOaR5/lRBrDSDi/jSmdkXPkH4t8G0OJky5QVlGCZ4UYZjagfcSl8UFAWKto4WKTxoe5OZ/M4gRFMUXl+r/tYs+z99vMbnTtb47rUdHENFVR+pTKTbqbwjXyw7+HHKdi9kteo+bhyWpuS5IMoEBoevE3f8CJELTFUhB5I8J0oyfnWvy8vLKV+7MMff397lTmuErilsdv2x2VlKEKfMFk1Wxtb3G10fy9DY7AbUCiarVZd60eSDrQE11/zQeEyOB282hwwd6T5bMPWxSFVqNORrTTE0DUNV8aOUKElxTYOXl8vMlaWJ2SvLFY7V3QObN/u50RjQDxLOzhdpDSOGUUJdf9RCSrOc5liEXLB0vCil5Bis1grkwsfQFPpBws3mkM+emHnqOnmWC+I0Y3GfjuPEbIGvnZ/jhzdaXGsMmC1YY78UQTdI6PsxazMuf/jSPO886HF/XMQc1kFJs5w7rRHH6y6fPj4d0XwcpsXJlCkvGF6U8rM7ba43hvhxim1onF8s8eap+gtXpBQtnT86Oc/bD7ps9gJA+o185niN159TGrMQ0p/k3fUeQZwxV7Z4daXCf/n542z3Q+61PDRVIUgzgiTD0qX+ol40qTkG96MU21CxjIOH2CBIaHsxUSq4tysfo2wbzBTMyR39KErYGYS4pkHRVpkvWry6WuXYjEtrGPG96y0uLpf589eW2e4F/Pphl7utEV0vpuzK0UPJ1ik7BoMgwdJVWsMIzVBZq7mcnC2w3g2Is5z6IRtfUSLIBZPNkcWKTT9IMDWF3NSI0owsFwgyRCa1LoaqcXGlxMnZIqMo5ctnZx9b6d1PnObcao2oOiamrrFcc/hgq08QZxOtxjBKCZKMgqmTiZyunzBftjk1W2AUpTT6IVXXpOvHtL2I+dKTxaNdL2amaHJ24WAu1RvHatRck8ubfe7sjGgOw7EjrcGnL8xzcbXCfMlmxrX4wY0drjdkUbdX2CVpzq4XM4oSjs24fP2VJeZ/z4Ssz4tpcTJlygtEkuV8+0qDd9d7VByDsmPgRSk/udWi68V8442VFy5m/fOn6ryyUqHRl8XJYsV5YpjdR8GPUv7trx7ygxst2iMpMNVUhZWaw5+8vMCfv7rMrx+0udvy0DWFrpewVLUpmjpxJmgO5TbJQsliEKY4huyOtL2IzV5AkgssXZUeITnsDCO8OGWl6mBqCndaHqBwrO6gK+pE9GrqKis1h5nY5MpmH01VODVX5Ox8keMzLq6pc2GxRJLn3N4Z0RpE0kG16xOmGVXX5EFHpiFHaf5YTk0uBEmW0wti4nEXSIix7woKrqlTtOQasKYCikKcSD+UPM952AkwNY0vn5vly2dnD01H3iPJctJMYIzXco/PuAzDhPWOT5BolGx94tuS5HIDydBVTs4WsAyN5YpDcyxsjdOcYZgy/wSPsjTP2RmGfPpE7dANmBPjkMCOFzMME1RFoeoaBzacLq3J8dH17QHXG0O2egGZkPqietHkS2dmeXm5PB3n/AOYFidTprxA3N/1uNEYslx1Jl2SvfyTm80Rt3dGXFx5PPL9k07R0jnzpBPpY9DzY/7tLx/yzcsNFAWOzRTQNSmi3BlEfPeDHU7OupycK3J6rsR7Gz1+87BHx0sIkxzH1FiruZyYLeCYGu9tdGn2IxxDY2cQEcQpiyWbTMjuhGNqWEI6zG52pQ27qsBqrYCtSwFo2dGZKz868DRNrvX++3c2WJ1xsXVNWsEHCXGaUbYNVqoON5tDOn4y/ipp7+4YKu1Rwq4XUrH3to4EXT+mF8QkqfRxCRLp0ZELwXY/JEoFaZ5PNoOqrklhLFCNkgwvBoS0g//F3S6WrvH1i0tHjtj08TZRHOfj/1a5uFyhaBls9QK6fkzXiwjiDEtXqTomtqlRH3uSLFQsVkcOD9o+SSaTnI8izWSxtjbj8sXTs4/9maook0JqpmA+sbhYm3FZm3H53Mk6u15EmgmGkQxCFEhDvIpjcGqu8Hvh0Py8mb5jU6a8QGz3Q/w45cSHHGELlk6SZWz3gxeyOHneBHHGt680eOdhF0NXWK0+EkgWLRUvkiJVU9e40Rjx1vk5vnD6NN+6vM07D3u4lsbJunTx3fu6S6s1rml9Ptga0BwE1FyTparDKEqlTkbd88TI6QU58yWLimNQdQ38OCXOck5VCqSZIEoSslxwqzmiMQilaNbSqbgG17eHdEYRYSp1Gte3B+x6Mbl4dAD7cUrVNVmtOjQHssBZKEuvlJ4foyrKZAU5SHKyXB76g3EnIclULF2Q5Tnb/ZCSrbNScWgOI4xMYBoaAoVbO0PutUe0vZh//cUTCCE1Mx+2ftdVuLrVp+1FaIpC0dZZrTkcm3HpeDF3d0fca41YqbljLxmd4tgSX1dVXloqy/Tm7T7tUcRSxT6wrZZk0vunF8STcctCWY6objWHfLA9mOT3nJwtcH6hxLEZ94kdnz0qroGfpPzqXoc7LY+uH4MAoQg0RWWhbHFxpcJnjs98pJXi33emxcmUKS8Q42y1QxHiyD+a8iE+2B5wvTFgqeLQP8zdU8j3eqFsk3YD3n7Q5aWlMv/6D05ydmGXX93vst0PCccOr6qiMAoTDF1FVaQJ2FzJxoul0ZaqKrRHMaahUnVNBFBzTQZhSseLCZKMiqPTGIQ86PjSx2QUMwhiFisOpq4yCFLWuwGjMGGubKOrKjvDkGvbA9Isp2Dp+FFOLgSZkKvCgyBBUxWiVNDoyy6Fa0gPD2nulu69XGlhj4JtaKgKdMedGMfQSDPBRi+QvjNFU267jAMnN7oB37y8jaWrxFmOF2Ucm3H5/MkZtvshv37Q4VZzRHMQ0g8SDE2+RyXbYLlqc2quiGNW8KKUeLzdtFxxDoiHLV1jtmjx+lqNYzMOzWFI2MkmZniKAnNFi6+em+PSWpX5ks3tnRHfvdZkqxdgaCqOIfN7fnKzxbvrPS6tVnnrwtxTM3Tu73p868o2m92AuZLN2fnSRJAbJRk7w4jvXG3S6If82atLL/yK//Ni+i5NmfICsTz2N+n6B9drh2GCZWiTrY0pR5NmOVe3+qiKylzZYr0b0PMTqq5cmfXjFEWVHh4gxwq3miNuNkd84XSdr5yb48RsgZuNIde2B9xsDNkZRRPrc9fQqBUsLi6XQVFIx5rVZnZmAAAgAElEQVSL3VHEIEyJk5SOn9D1Y/xEjjoEgmGYYepC3n1n4MUpuZDbSXGWy46CbbBYsaVxvhC0hhFRKteADS3HMlSCZDy+UKDry+RgIQS7w4iirU/GNaM4xU8yCoY2WUFOM2nHn4z9ZeI0B0WuTedCULJ0XEsnSuRz6arKsRmHdx/2+H/fXudTx2ZwTY2f393l7fudsUeNwtn5Eqqq8GAc3qdrCqMw5XpjiBdnvLJUZq5o8e5Gj5Wqw9K+WIJ8/DqTPOcvXlvicyfr3Nv12BlK3x8pCjY4M1+cjDrXOz7fvtJgdxRxeu5gArGoCtpezM/u7KIo8CcvLxy5Mrw7ivjOBw0a/ZDz+1yK97AMjbUZFy9KeW+jj6Wr/MVry8/Ukfl9Z1qcTJnyAnF8xuXlpTK/ftBlFKYUbbl2OQxTLq1VODX34gYAPi+2+yHb/ZD5kkV5rBm4szOauIkamsrajDvJ1NFVFdvQuN4Y8OapGRRF4Xi9wLEZFwE0hxEVW+dkvUCtYHBv1+Pq5gBdVXhlucLarNwYObtQIsly7u6O6PsJp+YK/OTmLjmyi1C2dfwoo+fHtL2YgR9Tcy00TZrA7Y5iTE2d+G+0RhFtLx57nUjLdUvXiDNBnOWoSHGorqoYmsooyohGMvbAMbRxorWCaajsxbwoihSdooGpqGiK7A4ESY6ugmPotEex7MCYGlXXlAWBArvDiJWqg2NqxGnGz+91eHmpzGvjraqXlsogYKMXIITUEamKwu0d+X7MFi0urVZwTJ17u6PxWjOTEdVXzs7y5qk6uqZyfrHE+Sck9779oENzEHJ+sfTYKrCiKMwWLXIhuLzR55XlMqtHFPXXt4c8bMsk4yetLxcsncWyzfXGkDeOBaxNTdmeyrQ4mTLlBULXVP75K4vMFEyubvXxooyCpfO5EzN89uTMU1vU/9jkuWDXi4jTHE1VqDrmP/lcPkoz4jSfbDWdrBeoOSZtLyYXgrJjMFe0DhxGtqHix9mBMLhr20Peedil5pq8slzZ97k6gyAdj1z6uJZ2wCwuywVvnqpTdXR+dKOFosj3pT2KJsGCcZoRp4JeEKMo4BoaiSJHNa1hRMk2aA0jEGDrGlkmwweFBhoQpDmqIlAVmUWjqgqKkpHlsviIkly676oKUTo25FcUCpZOydaJ0xwvzsiyHBBkQqFgyj/TVZmQPAhSRmFGVMpQxuvI0rxMpTmQ3/P6vqA9S9e4uFJhrmyzNda+ZLncEIrTnH/20jxvHK/R86WfSaMv13xXqg7nFmQC8V6HI4gz/FhqSAqWfkCM2xyE3G15zJWsJ7q8zhYtrm8PuNUcHlqcBHHG1a0+Rdt4YpLxHjXXoDEIuN4YTIuTZ2BanEyZ8oJhGxpfPjvHZ0/M4EUpjqn9zm0LhEnGzeaQD7YGcqV23H53DI1awaBetCjbBrqqMFMwOTFbeKYsk49L14vZ6gfkOfSCGCHEJCFYGa+SFixpQLaXfrufvTXbvY/nueDyZo8wzji3eLBbVbR0zi+WyIVgvRPgmn1OzRbxY+mTcmK2wBvHqnz7aoNTc0V2hhHbfTlaEgKqjskgjAmTnHQcKGc4GkqWY+gqXT8hSnOSNMM1ZeaOqavomlRg5EA2fm3GnvW/EFjjTR/bUEkyuZFjG7LTIosT2TWaKciuwjBIaI0i0hxMVWXGtbDHxa+uymIjGGsuZDEkCwPP0rnX9pgtmlTcg747uiajF5YqNl6UkuYy1LDRCyk5xsRT5OTs4R3Aja4vx2mNIWGSoSoKFUfn5eUKFxZLVF2T1jBiECRP3e5SFbky/bATHPrnzUFI24uZPyL9+MMoikLJMrjb8shzMR3tPIXfrd9YU6ZMeW7YhvY76WnS9WL+9mqDG40hAnmHqquw3Y+4v+vRDRKcPR+PsSHZStXhlZUKLy2Vn5uHCciRwN/d2uV6Y0BnvNGiAA/HotPTcyV2hnLM0/djhJA6guXxAToxSwuTSb4NSC3Cejeg6ppEaYahKgeC6VZrLqYmt36ubg9o9CMsQ67QfubEDD0/YXcYcXGlzHY/4tcPOvT8mIKl4cUpYZKTZIKCpR1wp7XHYYJ+LEczFgpRmpFmgpprYhkqWS5FpaoCKrKgkh21jDTPSXKBqSmkuXzckq0DMQpQcXRGYYKiKGgqk/erVjRIxwXdfn2GpijsjDeHFsoW72/0xplC8OpK9cjv5Z5OZI/2KGa7d3iRANIo75f3Ovz0Tpv2KKLimJPogO1+xL3dLd5bd/njlxcQQop7n6U2UFWF7Ih8piTLyXLxWCTBkzA0lTSTfi2W+rv3d/N3ief2t1xRlGXgLSHE//W8HnPKlCmfTIQQNAYhNxpDNjqBdE41VGYKJg92Pbb6ISfrBVxLZ3cUcb0xouPFWLrGqVmTQZASJDk116Jo62x0A+7uetxsDPmTVxaZKz3b3eqTiNKMb12WhnU11+TUbBFNVRiEKXda3sSzpOPFpHmOa+goily7bY8itvtyRdRQVVRV5eXl8uRxr24NuLLZByF9PHRVZbFisVC2qTgmuRB0/Jhs/LgXVyo4psYwTPnetSZRmmEbOoamcWzGZRQmjKIMS1PIhCxCDE3F1FSy8baPIqSRW57DKErHycAKiqKgawpJnpNFUtRqGxqOoRElY/v8NEdVZSclTHJyRUHkOQINS1dRFKlZWa46KCgMwoSeH2OoUihraNJIbhAlFEwdXVXHrzEiGHu+/PFLC6Q53GmNKNv6RxptaKpCmB4d4vib9R4/uLGDgsKFpfKBcc1MwSTNcu62RnzrcoM3jlexdQ0vlnlHaZazM5QjsyDOMMa5PwslCz9OqbnFQ59TH28VZfkTjFU+RJrnuGOr/ylP5sjiRFGU//4jPI4C/CnwJWBanEyZ8ntMz4/5wY0d6fngxbjmIx3Cj2+0aAxkCm+OoOPFXNnsMwwTFsoWqiJ/ac8Wpc367daIz5+c4dRckTDJuLY9IMlzvvH6yj/4Om82RlzZ6rNacw7cpVccg08dr/LX727xzoMuFxZLFO1HxVAJudHTGkZc2exLo63ZAqfnipOu0LvrPdqjmKKlo6kaQZxxbXvIw07Aas3Bj1Iub/UJ44yqa8hNmFywUrV52A142Pb41LGZyXPWCiYzBYOKbWCORyebvYDWICAHFlzpQBvEKWEqrd67vvzaNBMUbY160cLWVYJEpgO7poawDQSyg7QXhJflYOoKWa5iaAoV28AxNaIkpzEIcQ2NQZjixxkgUAV0vBhVQX6fM4GiSk3GKMooWBqrNZd60absGOyOIpqDiPxDQYlPIskemb59GC9K+cXdNlkOJ2dd4jQnyTIUZJdLUxV0TeX0fIkbjQHzXZPFqs1WN0CvOlzZ7NMYhORCYI47G41+QNk2qBVMzi+WD33e2aJJ1THpeDEr5tH2/PsZhCmvrlSmI51n4Emdk//tYzze//dxL2TKlCmffDpezN+8t8XNnSELJZuX9t3FJlnOw46Ha2pjQWSPJM/xopT5kn3goJI6D5N+ELM7iliqONiGxpn5ErebQ75/fYf5f+C1Xt7s0fcTipYUeFb3Bd/VHJOipdEcRgyjFNfSJoUTyLvmsm1wpzXis8dn+KOXFkiynG9e3uZaY8DJ2cLESbY0cV+Vr//KZo9RlJGmOWIsYlVQsMfaINtQ6HgxgzBhsWKTC8Fs0aLuWjQHIbXxqKvmGrRHIWkq0FSVmmtw14vx4xwhcjRFGqGVbE3qP+IMc2yvHqU5SZ5TMHTCVNrOg4Kpq2iqSsU1qFg62rgDIreAIEkF3SRBVxRcU8OPU4SqTsILBTI5uF60qLkWjpGxVLYo2MZ4bRhqBYO2F9MZRcw+JQMHpBhWVZQj83lu74xoDiKqjsH1xoBGPyTN5LzJGY/gFsoWrqkzX7JZ7wa8ulJhve3xk1stOl4sQ/725U5Fieye6arCcvXwayzZBi8vl/je9R2WhP3UQqsfJBQs7YlbRFMe8aTi5K2P+FgdIcTlf8jFTJky5ZNLkuV854MGN3eGnJ4rPrYZ1PFihlHKbNFGU+Fe28OPUs4tlA/9xW7qKlku2BmGLFWcyccWyjZ3dz2qZv6xU4evbw/4/vUd2l7Mdj/E0OThfma+SL1o0fZjCqZOfay7bA4iDE12EgRyfVZRFIqmHLucmC3w09u7XG8MOTVblDqZmsvuSBYZRUsaqHW9mGEo3V4VRUFHjmniTHCsJEWgjX5Ez09o9KVQeHcYyTVgQ8UyVOlAihwXnZ4rYWoqYZrR9+NxTk0uxzsCirZG0dLJcjHpblxcqXC3NWKzG5CkMkFZGWfmhLHcVDI0lS+cqmNoKte3BxPdSpRmLFUs+kFKEGWoiopAULR0BBDEKXEmc3m+eq7GZjdgZxhxfGzhnuWCLIczc0V2RxH1onWkh8gezUHIXNHizPzh45UHbY/tfsDDjo8XJTiGPhFP743gNlyTl5bL1AoyZdmLM/pBwtWtAQCjSJrc1QsWSS49Y47PuhRtg42xdugwXlqqcHVryN2Wx6m5wpEFSpRkbHZ9Lq1VOV6frvM/C0cWJ0KIH/1jXsiUKVM+2dzf9bi747FWcw9dWY5TKSA0dXmgqSgEcUaYZkcKdw1VJYizAx+rjQPXfLKPVZzcbY349tUGPT/B0lTmihZRltMchvhJxutrVXnI54LZoskry2UyAY2+XONVkC39xYocz9iG3Ii5stXHNR+JkJcqNsOwwL1djwdtj44X40UpSSbIc1BVgW5opFnOZs+n5soxgqFZPGx7vL/RZ65kESYZo0g6tc4UDAqWQdHSOTVXYKXqjj1KUm7vjPDHI5thmI6dXBXiVKBpCvWiQdWVrydKMm7vjAiSGH0vT2YsVE3yHCEEnVEkOzyZGK8BS8GrrmoYakbVMbH0bCwMBUtXMWwTP5a+OusdH9vQpN4ly1nv+AzDhNWawxvHavzsTpsHbV+6yR5xqLdHEWGS8aWz9QOjt/3caA7Z6oXMuCaLZefAYxXGhVlrFHJ1s8+ltSqDIOHvb+2OCxIDQ1cYhRmb4xyf4/UC5xZKrM04bHQC1rv+kZEPixWbP3ppXhblzSFLFYeyrU+uIc1z2qOY9iji/GKJP3554Yl+KFMe8ZEFsYqi1ICLwDLwXSFE+7lf1Ue7nj8D/gvgG8A7Qoiv/VNez5Qpv69c2x4QpNljh8hedsyNxoCtboAXptimhhcnaKpK30+oOAaPdk4esTdu2M/eJocfpxPHT5BOqfd2PSm+1TVOzLoslu0Dh5UQgl8/6NIexbyyXOJ6Y4SigqNq2LpNYxCy3vGpFyyiNGemYLJUcTF1lVOzRbJcdjz27pBvNofYpsZWL2B3GDO/T6irKgrnFkoULY3vXduhNw7jy4Vczc1z8CKpjYjTnOvbA+bKNhXHoFa02OmHWLp0UC3bBmGSoasaBVNnGKY0+xGLZQdDk+vJq1WHW40huppSduShrCCLhvmyheyNyDye280hwdiXJdcESq6M3yeBpij4UcbtHY+Fik3FNSYHask2iNKcimPSC2RHKBOCQZAQJBmaqmBoKn6S8cH2gH/5xgpvXZgnE3Kj6dJalUtrlcmY7vvXm9xoyhFgxTUm7+vez4wA3jxd5/Mn64f+zHlRyoO2T57n1I4I6dNUhfmSLf1NdqWZ3kzBZLXmMAgTFkoWQZITptLgbrXmSEM4QFNDoicIcUGax1m6ys/utNno+mx0fXRVGW8FCepFiz84M8sXz8we+Hmd8mQ+UnGiKMr/DPwPgIv8vfHHwPcVRTGA/wj8GyHEr5/3RT6FfwM4wPS7PmXKPxF7h0TtQ+3v9Y7P7Z0hgzAlyXJyAcMwpRsk+FGGO16NjdPHw+BAjooOyyKxDBWRSuvyOM358c0Wlzf7dDw58hAI2SVYKvPWhflJN6Ptxax3feZLFqaustWPaA0iZseGXAVTbg8VbXnHX7SMA90Zbd+WRdeL2e4HzJctfnRjh0Y/YKFycItICEHPT4iSHMdQMRQIlZwg2dN5jAswAb0gYRSlVFyTS6tltnsBHS/heL0wDtuT1vEl28A2NBqDkNlewOk5Oe7wk5SdUUSS5ixXbZpDaXTmxxFBkqGrMsjv3u4IP8mxDA1BiqHJTBkUBXIpUg3SDFWVidYgR0SqolC2NR60fYqWRpJLTUfB0tELj7pgQoCuKCgo/OVry1wcO8Du/ZwESYYXpby+VqVoabzzoMeDts/2IEBFQSCFucs1h0urFV5fqx3Zbbi9MyIXgoJlTNxuD0NVFIqWzt2dEWkOJ467qKgo47Gaa+q4Y8fZ9igeu+PKLlL1GQqKU3NFjtcLrHd8HnR8/DhFUxQqzqNR4ZSPxjMXJ4qi/DfA/wT8L8BPgf+092dCiGR8d/I/IrsY/2gIIb4wvr63/zGfd8qUKY/YE1ha2qMCY7MXcK0xIMsECyUbFEgygR9nOJq8O/ajVHYR9m1jCiEI03xswpXjmupjmx37uyw/vtni727vUnYMzi1IG/G9YLyf3W2TC8GfXlxCVZWxJkNQMFUpaFwqc217QHMQYmhyBBIkGcs1hzdP1umHCX6cHjCxE0Jwr+3x9v0uqgIP2z5enHJ31yPOcl5drVIb+5v86l6H640huZDFSJwLouxRYSJ7FZJMgMik6+uDthRjJpkgzjJAIUhSDE1ho+tLfUiacr/tcbzuoioKNxtD4lTm7cgQvow8FxiaQm8c8FexdQxNYb5o0wvi8chGoI3fm1xAlmWYukY/SAiTjDjLSG0ZGLjeDRlGKUGaoilSEBuNxcQVR6MkBAJIs4Cqa3B6rBPpeDG/ftDhZmMkx3i6FIZ+6niNf/XpVTZ7AVu9gDiTTsGzRYsT9cJTx3YPOz4VxyDNpLB4v+Psh3EtjTuthJorHX4VRaHk6PTG1vgw9iHJZRHY9WOqrsnZhWcTsGqqwonZwmOJ4FM+Hh+lc/JfA/+HEOJ/VRTlsB7b94D/9vlc1pQpUz5JaIqCiiwKQHY87rVGJGnO3L6NjKpr4EUJeS49OuJUbnfshc8NwpR+kDAM5b+uqXOrKfUaSxWHxYpM25WCUqmDuLzZp+wYLJYfPY+qKGN7cri6NeC11SprMy5l26Bg6vSDhJJtsFC2KVhye6g1DGkNI87MF/jGpWWKtsFPbrW41xpRsAxmCnKb5/bOiMsbPVxL581TdZYqDkGSMQwTNnshitLn0mqVa9t9Lm/2ZQpwLkcfSfpoUKUqTBxb93Jr9sY9G90Qy5DrvrujmHRcZMhiIJsUeVv/P3tvFiNZlt73/c65W9xYM3LPyqrq6urqqurpnp6Ns5AzFEmNOFwgmTYtmDBsw7AsAxYsG3ow5Ac9WDD0IL8YFgxYgA0YNmVSImSBJGxqTHpIzXD2abK7p/fqqq4998zY4+7nHD+cG5GZVVnVXT29TM/Ef9BTXZER9564EZ3nu9/3X/oJO/0YVwpudyI8x0FpTVooMPbYcRkeqDX0ohSEQz/JMUagMZZAm5eJ1pSFolEcjFK+f2Mf33X41Dnr1DrObDGpSs5MpqCfZNOkZSms6ZsyhvV2SOi7dMYZf/jiBm/tjpir+qXKR/H1N3e50434jU+uc2a++q4s3SeFY2PR4/XNAb04O3FEOClWa77DcrPCOLWKovOLNV7fGrI3SmiFHmmuaYYu2/2YVGm+dGGRU623VxTN8N5DTCya3/aJQgyA/9oY87+Uxcke8NeMMX9W/vy/BP6RMeZk5tD7jLJzMnoQ50QI0XubQ7Tq9Tpf/epX3/O1/big3+8D0Gp9KB/RTw1+Gq+zMbA9SMiLieW5YpgUuFJyL9dxovxQxqDLcLmqb908LRnTjmUcYZ1LxRGjq8CVVH2XOFc0ZY4QMFDWh+NkzordxOdr/nTe3ysTfyueg3NkcUprksLat2tjLegnKCceYCDKLUG3WXGPjRGirGCcTfw1LJG30LYrUSjr6Dr5fTsJ0pv836Q4uffXsTVAs0WYfY5NG9bGdnCmx+HQ9dRgi8XJcycW8EdPPOnYGHN0HfbBo10dhC30TlUtKXYnsWolrZl2qCYTIc+Rh8fFcGauymIjoDvO6MU5YUnQnUAb26Waq3r3jQPfKQ5GpdTbc4hzPU1Htu9/ch57LlfaJOaK55ArQ9V3ENiuX1Io8sJeq9CX1HyXWuDSrHj3fX/fT/w0/e74tV/7NUajUd8YM3fSzx+lc3IFuPyQn38ZePVRFjfDDDP8ZEAIqPkOnVxhsJ0CAyf+YrcmYhpd2HA5sITQaQcBy+0IXDndzKRjN8Kk0GhT4DsSKQ/HQScVJpPHjxY3YO3Yc6XLLoDdsHS54RdK0ykfdxyBV6pYKq6VGitt0JH1/biX3+C7tqOTFvafSUEwObaUtuNwdPefrPvwOpmpvbs2hlybUgEkyAp97DohLLfDc6R1TzVWpgtghDmS9XPYrTFiepbyGLa4wBzWJ4cFRvmYOSyadFmITNbrlg6xpiyW3HIsUvNday6nTakgOiQRK/tkpBS4UhBlimbFvCsVS+A5DFM7ygo961KbKT0dUQE4wqYlC2GLt3bVn5rI2YJF4DuW7dL0HOaqHmFp3jbDh4dHKU5+B/hHQoh/CbxZPmaEEBJLkv0bwN99j9f3nuFB1dkEQoie4zitL33pSx/Ukj5wfOtb3wLgJ/k9/jjgp/U6H4xSfuf7t4gzTYTijc5g6k9yLwyGjX7MnU5EUih8R1Kv2DvVudC36bbmfr7BOC242x3zC5eW+Xx1j1Fa8MZ4icvzJ3ulGGN4fWvAL59b4fJ6i6s7I+52xkRCMc4sSTdwHXxXcHM/4ocbPXzXGpylhUJpw2orpKIkv35pjdVmhX/x3B3OtKsn8iFGo5TvX9+nM7Z8jShXoI3lmhQapTRaGzS2IyEFSCmnXRClDZUyJTjOC4yB5UZAxZMlqVVSDxySXCOl4Ew7ZHuQcrcbTTfkcNL5KQuGrLDkVNex5yv0Ycel0OZYt8QpC6jp38tC5O88ZaXM//NrDlLYoqDiOkz6QHFm069bocf6XMhXzq/AXJV+nPMXO/ucmQ9xpeTG/nia7lzzXdo1n5bv8kufOsfyOzBkuxfDJOe3v3OLu0nO2dI/xAHyXFGUsm/PczBS8Mb2kE+dneMrn1rnYJzxwzs9ruwMyZWmUfF45lSLZ0+3PtQ8qp+m3x2O8/Dr/CjFyT8B/grw58Bz2O/v/wAsA2vA/2OM+afvbpkzzDDDRx0L9YAvnF/ka6/vMEhygAdalA+TgsCTfP78PC/e7qExPLXawHNPHs8A5IViexAzzqyN/bmlBKXNNE340lrjvuTiXpTTDD3GWcE///5tdoepdUEVgjhXhJ7D6XlbQHUia7W/2qwgpaCBLVC2+zGL9YC3dkdTkmacn+yxYomcdR6bN9w6GPPK1oBM2SC9RuAgcBllBWnZYdIItNZHOCd2BFMUZtrNSJVmmOYoRXluTbvqsdqqkBaaXpThSoEQkjS3niNWFWzN0KwaaNJissF/oowTkNhuyiTAzxGWhzIpTibFkyhVNIjD8VHFc4izgmHpwVIozXKzwtmFKm9sjXhje0SWa67tjri5P5r6qDQqHr4j6UU5m72YJ5frD7Smfzs0Kh6ffXye/++1bbb68bQYPhp6qbThrb0Ry82Az56bRwhLuP3yUyt88cLi1Br/UQL8Znj/8Y6LE2OHpb8phPgPgP8YyzlZB17BSoj/t/dniTPMMMNHBT/zWBulDX/y6jbXdofsDBKWGwFSCow2jDNrKFbxHJ5crtMIXG7sR0gBB+OcemCoBe6xgkZpbZ1cezEGqPkuSW65KTZgDp6/02FrEPPZc23mqsFUwrs1SFhrVnh1Y8AoKVisW+v3emCNsgZxzg9udKZKj16UTzdmgMB1cKRkb5RijOHUXMjpuZA3d4bHzLYmyArb0fjrz55CCPjH//oNOlHKWrOK41jpq1J2NmK05dxYjgjTvBWD/XfftTk3zcAlEiBL1ZIxBk9KKp7kzjCdJt1KYz1LfNfayeuSw+KIQ96FUcq+v3LmIaSwvJ9y/fc5epTeJ5NyxWhwHDsGWW74jFOHorS3Dxw7QluoByzUgulYRBvDd986IFOas/NV6oGDEHZs140yUvVwH5F38p3LCs33rh/w2taA+ZJ0a7AOsaM0Z60V8pWPrdxHuv1xTe6e4V2YsJWpw7NwvxlmmOE+SCn42ScWyhA/eO5Wl+1+guPY0ULoO5xbqLLWCqlXXK5sD1mfCznVChhnir1Rxs4gsfwALJ9Bac0wLfAcyel2lcCTRGlhA92k5JcuLfPy3R5vbA/52uu7PLFUx3clzdDjU2dabPdjXtsa4AjBjf0xrmPvnJ9cadAMPRZrAVe2R5xqhdR8h2GSH7Mr96RgmBScma/iSMHPnJtne5BwfX/M6XY49WcZJDl3uzHnFsIyQM/QrLiMc+vnstGLrYGbBJNbnsZkWy4MCGWmKbcV11YWriNBiJKcaddUKM04U2z1EqsuqVgpbZTlJQnW8n9ybcgLZesQwZSPIoQltMqyeJnwSGQ5Bjr2edpXTLtZFU+WPBJbMK40K/ietFJyZUc1945nnliq8dJGn2yU2e+CtH4yo6xgvV2h5rts95MHOsC+k+/cFy8scLod8sb2kKs7Q4ZJgRDWUfdLFxa5tNp4T5KsZ/jg8Cg+J/8a+F3gD40xw/dvSe8cQoizwNnyrw3AEUJMhnV/YYxJPpyVzTDDTzfOL9X5e798kd977jYv3ukTuA4LNavKCDyHvWHKwUHEU2sN9kYpoedyYSVgmOTsDq1leaFsxovtWgjWWhVcR5Lk6hjT1nMknzzb5vR8lZfv9qhXHH7x0grnFmxC7f/90ib9qKBd9WlUPDKlud2JiHPFZ862aVV9wHAwSjkzX+XN3SF7w5Sq71Bow+4wZbUV8PHTVkFxabVBVqzy7bf2uHUQlYRQaxwWeg79uOD/+M5NOlHG9YMxnVHK3iDBdYTtYmhjPU047nNisCWfe0YAACAASURBVF4nGPtzrSF0BErrYz4rriNxpKYzzqxlvCOpuJJubDDaoKQhVYrAkZhyHONgCyBDWYQcOdfk5JO/Tgomt1TgyFLlAtAMvak6plnxePb0HIEref52z0YSlAqhox2lwHNoBA7j1H52G92IJ5YaXFiqs9oM6CfFj/x9E+LQY+TnLiwQZzYvqFka1s3w0cOjdE6eAX4bSIQQf4QtVL76IRcAfwv4b+957Jvln48DNz/Q1cwwwwxTNCoe//7nHuPSapdXN/vsDTO2hwmulCzWfb5wfp5PnJnj91/YYKNneR2NinfsDjrOFDuDxBJkS05AkqtjSh6w5NLlRoVPnGmTK83l1QYrzQpffXmL3UHK6fkqVc/FYChK5cz1vRGuFDy11mC+FrA9SPjc+QV8V3K3GxOVnh7zNY/f+MQ6K81Dcu/HT7c4v1Tjrb0RvShHacO13SF/catbjobsbh96cjpeAKtuoVTRTIip90OQKYXnOJaQCtPiYIKKK+nH1hHVlNwSAbiunLrmFoWZWthrcVgEHauIjsBgyaST4kQbyJRGajGVCwtsN2Wh7tMIXaKs4LXNiK1+TD1w7xt1DZN8OlJLc4XviDIYULE+FzJMC5uJ8x56iTQr3tTZdoaPLh6Fc3JWCPE54G8C/275z1AI8QfYQuVrxhj1sGO81zDG/EPgH36Q55xhhhneOaq+w0qzwlY/oTvOqfkeZxaq/Nz5edZaVaQUZUrumKIkb+6PUnYGCXGZHLs3TFlvV+3IQUCcq6kr6r2Yr/m8sT3grd0RK80K3SibKmCirOB2Z0w3ysnLEMJxakPqskIR+g7XdkesNiss1gMORimdKOPiSoMvPrl437lqgcuzpTX7t67u893rBwxim4rbDD08x46WRqlib5hSKEOmjnBMuJ/jIQFK5U7gWIWN58j7agnrwmqITYHvCoZZMfUaMaXPhzZArspiTCDKcz+oMLHyZbuGCe8FQJtSvmwgKayDa9V36I4zktwScrNCs5ulhL5DnNlrWWjNa5sDNno2AFAb6McF2hhe2xpypxtzZj7kV59ZPeYQPMMM8IicE2PMD4AfAH9fCPEpbKHyG8B/BOwLIf6lMea/eO+XOcMMM3wU8d3rB3zz6j77Q5vvst1PUNf2+eabe3zh/ALPrLc40w5Zm6vw6uaAcVrQjW1B4TmSzjjjYJyiDbSrdsOvBS4rrQpE959Plk61w2SS4usTuA57w4S73YR+nCPLTTxXmkwZelHGwdiG9h0MUza6MfWKy6m5Cj/7xAJffGLxodkocab46itb7A1TVhoV6kfu2ie5QBpwHcgVU/8R15G2EDDGenOUKhvfkajSB2SlGXIQZSAEgWPJpcMkJ8oUmdJkCtKhIkoVriOpeg5CWCv6OC/s6AYwR7o0E5+UkwoeANcp+S6lh4ku5z1GWL5Lo+KiDYwzzVzVjneUzgk9QV5oNnoxF5br7I8ytgcxnXHGIMkplEFrTW4MQtksHoHg6s6I3/7uTS6vNvj02fYsh2YGYMJ3ehcwxrxgjPkHxphnsBLjPeA/f89WNsMMM3yksTNI+P71Dt1xNu2AVH2H0JVs9hJ+cKPD7z+/wTfe3OP8Yo3NXsy1vRE132W1GbJQC2iFHlXPBtPd6kR0xilPLNaYCx/iKHqkofL0qRYrrYBre2N6kXUprQceriOtEkcINvoxhdLsDVPGuSpt2KFV8fiFi8ssNx8+criyPeDK9oBG4B4rTMDa+LtSILE8Elk6roL95es6EteR+K5D6FpTstCTuI4gcCUfO9VkuR4wiDOiPKcXZwzLEMXQk/iuJaMarGdJJ8oYlgnBefm4I5gWKZPzPqhRIQS4EjznMIrATF1lBVmhiDPFRjdhlBS40nZ34lzRDD1qFRucCDCIMu52Ig7KMMZq4DJX82mWfiihbwnOF5YbpLnmG1f2+IMXN7jTOaHq/ABQKE0/yhmnPzoHZoYfHY+s1plACPEEdrTzbwOfB1Lg/3qP1jXDDDN8xHFzf8ztzphBnBPnmpVmZboxb/Un3YmQlzf6OEJQrzhUvCrDpGCUFPieJVDGhR1NeI7AcyWt2oP5BLq0xJ90LNbnQj51ps0PbnRs6J+R6FLB4jmCQisGScFKI+TxxSoIwZPLdTxHcn1/xL95Y5ff/PT6fZJha3hmJbRv7owYJsWJAXHDxBqp+a5DkqmpMZrj2K6EU9rLO1JQ9TxGaUFS2MTgWuBSDVw++/g8ca4YxLlVoWCLjdB3qPv2Gglh5b65MtOcoqKcGU0Kk4lZ7NFR0sSRdzLWcQClDE7ZvQG7tsnnliuIck2j5P/c6UU4QlALHFpVm00zGS3d7Ub0E+vmG3r280gLQ+h7NCsuvTgrwwwlp+ZClhrWS+arr2zxb31i/T3loTwMWaH54d0er2z06Uc2IPH8Uo1PnJnjdPvR835meG/wSMWJEOJjHPJNPo79Tn8N+E+A3/9xUfHMMMMMHz5yZdgfZmRKs9qqHDNXE0LYdODAZbEW8M2re1xabfDkSoPdYcpWP2EQZ9avQ0OBpha4dMcZr2z0+eITSyeesxdZGfDjS9YtVErBE8s1VlsVDkYZWkMyDQ0slTPaEjS7cY5Shr1hyvmlOqvNkBv7Yzb7CetzIbvDhDe3hnzn+gGb/Zg4VQSepDfOSAt1H2kV7EavtMGTAuVK689SXhu0HZlUXEnFc6aZNIWClaZVNmWF5vHVBk+vt3juRoeK5yClHUutz4VIIeiMcwp1GO6HOFQDgS04PPeIzb0yONJa2BtjpsUOAoQEpcCgy4LksDAx2Odoral5DkZAP8qZr/k8Nl+lM8qoBQ4rzYCtfsJBlNnCRk5s6629W1iOnsBKiifwHMmFlTpXd4b8yWvb/NZnz0xl2u8XcqX541e3+cvbXVwhaIUeubK+LDf2I37946ucX6q/r2uY4WQ8ipT4deAitsD+PvD3gN8zxuy+T2ubYYYZPsIQAkZpQb3iHitMlG0fTFU5GhhnijhXBK7DmXaV5UbAS3d61jitETCKc1xpnVnf2BrSrgb8TMUmxIzTgu1BQpwVHIwzfvHS0rEk2awwnGlXcaUgyaylvBSCwHMYRNYbxHNskREXilc3+yzUfeaqHm/uJFzfHfGXNztc2R7y0t0+gyQvg+Qsb2VrkJDmite2Bjy2UKMRHHZ2UmVt8tMyjdgpWxVaM83yyYUt1gLXEk2FkDRDl1FSEKUFShnOL9Z58XaXTlZQq7jUfRdjrKutI23In+tICqWR2KII7AjH9yUYgSMlQhgQls8iEeQaPAdQNpfHHJEUN0NrhmdziXJLSDbWuE1KwXq7yijJy7BEh2ZYhjU6khsHYwLHoVXxOBhnZGW3yncckrygHxvaVe8+UzRXSs7O17h9EHFzP+LS6v3dqKPYGSS8sTVge5BQ9V2eWKpzcaX+jt1er2wPefFOj+V6cMzbZrkZcHVnyLeu7nNmvnqf8/AM7z8epXMisLLdf26Meet9Ws8MM8zwE4K50LWZMJki9hWVMhivO85oV31WSlMsre14ZJQWU7v7Wwe2Y7FYD1ioB9ztRoySwibbYn/+7Irlczx/u8veMGWQ5DQqLlGmyJXBd21BFJSOqVGmSHJFuxrgl4TYPhmeI3GkIFeGLDfc7sR87bUdnj3dIsoK/vzqHlGmGCQ5mdIsNyrTsRHYMc3tTsx2P0EAp+aqtKs+UVZwMMqszFdMTOhcaoFDWiiiTE1dVJXWuI5H6LucW6zx5HKD5293iHLFjf2xtdMPXDplom4nyugnheWWKI3nSkzJaXGlxKDIlC00XCGYyCitRb3lj+hJb8UIPFfgaDMtAEXpUAvYggb7msCTzFd9LqzU+dKFJfaHKTvDhK98bJWlps+b20Neujvg6u4Qz3EIXFvcZIWVPecoupF93+1q9dh1nKAWuGRK89pW/6HFydWdIX/86g7bg4TAleTleObTZ+b45adX31FBcWV7iFL6WGECZRLzXMhGz+Y/zbonHzweRUr8sETiGWaYYYZj8F2Hc4s1hknBIM7pRxrXkSw2Ai6vNqmWG5NfFgeZsh2VVGm2egkVz5lukOtzVTZ7MbtDe4ec5LbQkNK6vjYrLheW65ydr7HVS7i2O6RV9UlyxVYvLu+sHVwhbO5PyTnxXYcozelGEyt5a8F+pxuz2U+o+Q4XVxo8s95i+5Y991SBYwxJrnDKML640HTGOYgYrQ3dOKNQVsacFAZVGrW5UiI820IJfccm6Ra20GqGLpdXm8zXfD55us3PX1xktVVhEOV0xhlxoVms+YwyxSjJGSYZSW4LP43tjlQ8h1xrBNZx1ncdskLbTB1s4rPr2LGaKdU4LpaYG3pW6eNIQVooOybCjlyEgFbV+tCstUKiTNGNMj73+DxffmoZIQTPrs+h9B02+zHzoceNA2HN37TNCKK8Bo3AxQh4a2/E5dXmfd+dxXrA9b0xO4OElRMIyXGm+PqVPfZHKZdWGtMirzvO+MvbPc7M16ameUehyyymfpzjO5LtQULon7wN1gKXjV5MlH2gDhkzlHhUzsklrK/I57Bhf79qjPnz8mf/HvAnxpjee73IGWaY4aOHRsVjoR6w2rBBekmu8VzBfM3HlYd3tXM1z6pDlEFKSRRnxLk6dldd8RzW50IMhrmqT5rb7og0hrnQ4xNn51gpbdOfu9nhXz1/l6DclF/bHLBVdjUCV5Z8B8MotZuzI2WpSBHUfZd21WOcFuwOUpJMMWgVXNsdMc4Kluv2HKO0YHeQEOeKrLRu94TA9wTDOKcfWcly1XeJc4EQBl9KK8/VhlFqTdnyQqCEwHMEwySnFfos1X02+wlnFkK+eGERz5F8//oBviM5O1+lH+Wsz4VkKqAeuLyxM5p2Vtqlv8qtjmasC6QURFkxNYKtuJJC23GY5zhoY51U3VKd040UAttBMRqWGx4L9Qqh10NpzVI9IPRd0lwxiDM+frrFly+vTAnDQlhzufOLdaSAO72Yp0+1EByuI/CsUqoX2bykx+ZrhP5xbkkr9Lh5YBVWJxUntzsR24OEM+3qtDABaNd8dkcJV7YH9xUnO4OEr7+xyysbfXqxJb52xhnVwOF0O7yP9JyU4Y4VbzbS+TDwKJyTj2PTiG8Cfwr8p5PXCyFc4B8DT3O/Y+sMM8zwU4iVZsDjCzVevNPj8mrjvl/+ExTKsFAPcB1Bt5SdTuNvS2hj6MUZp9tVPvNYm91hQj0fEfoOj8saa82QXpzx4u0ee8OUiudwcaXCMM3YH6e4EuJckynLj5BCkCmNIyzhs9CWAJorbb1YtJXmuo7mdmfMRneM71pDubRQbPZim2rsOji+YJgW5IVmoV5hrupzZWdI6DtUA4eqHzIovVviXFtrfm2o+TZUsFC6HPHAOC148U6PKFW0QpdvXNmlXQu43YnwXMnH1+dKt90URwoaFY+aJ8mUPV6t4hJ6DotpcCiJNbZjgACNDQZMCk1RKDTQrvpUfZeDKEVPDNywfJndgV1z1tJ4juAXLi7z6cfmODUXUvVc1tvhseIAbFfDlYLtQYIUYupiq7QNY8yVJvQdWqVBXSfKWPfDY8dwyiIuf0AoYFIWhScVDqHrMLhHDrw/TPhfv3mdl+/2y2+X7WR1xzmj1BZNXzi/MCXgGmPY7CWcmqvMFDsfEh6lc/LfAy8APw/MAX978gNjTCGE+F3grzMrTmaYYQbsXfQnzrS4cTDmTifizHz1xBTf6/sjPndunnbV48W7fSQ2bG+cKfwy5G+QFLRCj8trDaq+S1bYDW6u6vFks8FzNztc3RmSFIoz7RqLpVfJKxsDelHGUqNCoQyDxG5GWWGoeLaLkimN7wiqvltm2mjAmpAVGvJCM8wVmpzAc6iWLqiNymF68mLdZ6MbM84UKy17t71QCzhfqoa2+gm7/ZhxrlEGfEcghLRFkbTjnVwpNgcJ46zg4kqD/VHGn7+5h0EwSgsrv/adsjhL2RumpIXi/FKd+apHqgz9JOPN7YhhYjs3WhmEYztSudIME4XAKosMtmOS5taJV2lolvLuQhtGqeW0gO3sLNQCfvVzZ952s550YYpyPASwXwY6amOlyeNRwTgtpgnK92LCnznJBRhsZ6UWOGwPYrLCmthh7Ln3R9mxrkmSK/7Zd2/x7av7NEOPVmjzdoSAdlXx6uaA5291iTPFZx5r4zqS3UFCq+rxs08szLJ5PiQ8SnHyWeC/KwuRkzx8bmPVPDPMMMMMAFxYbvBLl5b4+pU93tgeMF8LqAUuxhi644xRZjfXX//4GvM1n7W5kJc2+mwNEu7sjRhnOc2Kx9mFKufma7RrPgejFM+RVH0Hz5GsNAK2ejFJaQSWa8XLm30Etv3vOxLfcfAd8F1rBa90DsYQeJKm69KNLHejFfpEuSFKCgql0dg7fldApg0398e0ax7GiGMbpzVPs4XL3jBDG0jygjS3nZr5qkdnlFIUmtCVtKo+nmu7JklWkBTGmp4Zw0LN58tPrUwJndpYefPtzphvXtvnqdUGT51qsT4X8vrWgHrg4kjBy3f73NgbMs7NsTweVYAU+pjPicFyfZZbAZ6U7A5TpLBjkcVGhbmqhzGG7X7C40s1AmcbA6y1jnc4TkKz4nHrIKIauOwOU7JC0xmnNoivVDIZY0m9obZGcvfC5vA4DxypGGNToF/Z6ONKaV11tWGcFVR9l9udiCvbQ55crvH1K7t8+60D6hX3vvVXfZen15rcOhizO0x4/naPp9YaXF5r8umz7bdVC83w/uFRipMR8BBbRi4Cd3+05cwwwww/afjMY/PM1wJe2+xzdXdUblSC+brPz59q8fSp5lQt8fnzC3zizByff3yer72+wxubQwymVMRE3OmMQQjOzFcpCrtp/7/XN4hyxcdOtaZ3uUob3tobMkwKAk9OVUClinnqZ+GUnRNjbUcYJDm5tnJbBBhtX5Mbe8ykUOwONBVX0iw7J2mhSfKCuZrPJ8+02R0ldKOUUVqwPYgJXAfXESw2fLQx1HyXca4Yp9aG3gAV1yH0PAZJTpQrnr/VpVFxOTNfpVHxWGlW+IUnl/nL211e3uhzuxOV+TX2PYzSgs4oJdem7DiUcuXyM3CwBE+BIMqtMdpaq8KpdhXfkYwzRbvqkRQ27bgVelOZ9pWtEc+cth2IO52Ic4u1Y5+v0mYaxug6kieW67y80We+5rHRlQzinFxZf5MJhJiECVoS8L3YHaYsNwPaVZ9eZEd9Fc+h4jm8dLfHv7myS1ZoFmsVMmX5R65jFTbLjQpbvYQ/eHGDi8sN3twZUPHkMZ7TUQSew0I94MnlOuO84HOPz/OLF5en/iwzfDh4lOLkG8DfEkL8T/f+oHSL/c+A33uvFjbDDDP85ODxxRqPL9bojjPGWYEUlhh7Usu84jk8e3puSkp9a2/E9iAplSOGxUaAFFAXKXGmeHVLsFQPCI7cgdumhqDiWeOzKFPUAxelbYfCc2z+7jgrps8bpQrPEVQ8hyi1KhaBfa4rBUleSnGlIMoUd7sxtcCxnRlX8sRSnfPLNbQxVH0HY+x7XKwFzNd9dgYpe4OMtNBTnonWUK+UCiBjiLKCrNB8PzvAkfZ9XV5r8sRSncVGwC9eXOJOJ+K5Wx3SQvHMeouNXkIvysrCqrTFlwItbOGgDBTYEclKs8JmP7aS53aVNNc2d6cs3iquM1VCAfTinNDXZIXlnNw+UpzkSvPDO9ZZdZAUVH2Hp0+1uLRSZ7kZ0I9yTs1VuLo9nNr4O9IqicZpMSU3+87x70CuNDuDhFrg8Lvfv21HNlgibc13uLkfISV88kwbY+BglE5l2Qt1y58B60L81Vc20ca+741efOJ3M8nt+HC1NNrbHqTv9ms+w3uIRylO/hvgZeC7wP9ePvYVIcRXgL8DZMA/eE9XN8MMM/xEoV3zadce1oC1uLI95NvXDmiFHr/6zCpZoXllo8/NgzHjtKAZeriZ7WoopRkkOb0oPzx2ab0euA5Jrst2/5E7dyjlsnpqz660puK6KHVYmAgpp+MRWW72Dc9hZCxnZbVVoeZ7LNR8qoHDS3f67AxiRklBpjRuV7A/TDECstwWH9XAQZUdD9+zAXjjJCcpFIUCPzgMJtwdpsCAUVrwyTNzVH3XJha7DlmheOF2jzudiDizFv8ACtDlX6zviZgmMOfa4DqSLNdkuSYvNP3Ykkf7cU7Fc0gKKxHOS/Jwo+LhyMTyc4qJE63hz97Y5XvXD8roAZedQcLrWwMeX6wReg6b/ZiPrTWnXjSdcYYQpStvSbwtlObVzT5rrZDFuk+UKb7z1j7DJMdzBKutcFrA9qKcr722Q6EMl9ca5KXN/4Oyj5YbFZ670UFpw2PzIbvDlGGST83/wJrgDZKcM/NVmhUXbQI2uzF7o/REldAMHxwexedkRwjxc8A/Bf5J+fDfL//8FvC3jTF77/H6Zphhhp9gGGPoRnmZD2NHD43A5aW7PYZJzqXSA6MXxfTinDNt65tytxOxXLE8iorvgIH9cUoz9KxjauliOgnQS3NtlR+lAZkpuReq7BrkhTVhSwqbmaONwRjwHPvvudIU2j4W5RqJDbsLfYfVplXGbPXjI4WOVSElueJgZPksvgTfcxhEBYW2JnG5MhTKEGdqapRWKMM4VRjsuQexw9WdIVXf4YmlulXuOIJbBwmdcTbNxTmaNDxNIC6LLFO+136UWQdZrdkfJaTKWBdabdewP8oQGJJMUfVdVlsVnliqUwsiklwTlByQu92YH97p0Q59Fho+2/2Eg1HGZi/m9a0BZ+arDJOcP319h2dPz/FLF5f4+pv77I+sIqgRWGJqPfC4sT9mq5+w1qywNYjZGaR88swcH19vHSNQT0ZHrdDh5kFErjTPrs8RPICwWihNNXBtcQicW6hx82DMdj8m8BwKZSi0ZqkRcHHFqskqrkM/zqedoxk+PDySz4kx5hrwy0KIU8Cz2A7iK8aY2+/H4maYYYafTExUOq9tDrh9EJEqaxAWeg6n50Ne3ewzf6TDsj1IUNoaeFkyZIEOzDSBOPQd4lxPuyoCQbPiMU4KKp6kFxcoY/AdB0dCoW0RMpEQwyFXI8k1EwFJrgyFVkgsP0JKge84uI61xe+OM+50YgJHcGGpTifK2R/ZTCDXkQyTgrj098iVtemf2NdLKUrjNzi6FZryf56UGAyDJCMpbGLu3U7MKM3ojgt6UY4ylk9yj/L6yLGYepyYMk5gIpneGaRIaYMFcqXJlL0GS42Asws1PCmJ8oK9YULmWPXSY/N2pHO3GzFIck6tVri+N+ba7oissIRkjTVRu7TS4Ac3O3z72j7NikctcGlXfXzXjsEOM3agEyV869o+UsIXLyxyaaWBNqXdf3lNtvp2LNMKfUJPs9FL8N0Bz67PnShTF0LgCNuF2uonfO7xedo1n+1ezCAp8Cq287XarEx9Viw36cEqoRk+OLyrVGJjzCawefQxIcQicNYY8/x7sbAZZpjhJxO9KONPXt3hzR3LRVioBTRLy/KkUHzn2j439iNOzVnPEM+RJJk6tCOf7htiGgbjSonSRZkDY9GseBx4GToz+I4dn4Q1S6q0JE1LhJWytHMXgrwM45scZbr5l5u4IwXTZQhbvCilyXHYHqYMk4K0UDiOwACDOEdpYwmg5VF1WYkoZY4VFJO3lSmDTgsqnjPlyGgDB1FGtNlHCIjTYpo6rI9ekodAYkcqhdEoDeOswC3dYrPCXgvXswnD81UfIQSNinVJHVcLluoBp9theV3sRdrup1zdGSKlYKVpf9aPc4yB1VbIX728zPeuH/Dy3T6h7/DkcoPQd0pyspUbWwfhgkwpFsOANNd8+y07Llqbq/DYfA0hbEE6cXP1XUmr4rEzSOnP5/fZz4N1AK4FLp0on0YXrDZtMWKMObGg6cU5jcBjrvrg5OsZPhi8l9Z3v4U1aZthhhlmOBHDJOePXtripY0ey80Kl1abpIXmlc0BL93tc7cTs9oKy9C9EW9sD1Ba47tyGmYXpQX1wJ0SYCdW61IIju43Fc9hse5TaEPVdwl9ySCxAYKUhQgw7ZLY8Y6+rwNhSqWOvRMXZeCfdVnNC00r9HGkYHeQMEoK4kxZPkm5PiFAYgmnRpfdDO7vdAhhiwwbCGhI8mJqJe87EoGVJw/jgqwsTCa/wIV5+wJFT0dZh+eC0r7ekVQDB6NtwdGPc8ZZwcE4RWk7PqsGzlTBstyoEHiSN3cH5MowF9riIFe2E9UK7eZeDzweX6jRrvrUA5e05LPsDRMOxhmjtKAVuizUfRbrPqO04M2dIYWyWUivbQ54bbNPrjS6VCJNMPGb2RkkJ75fUebjSCBTiqN+bicVJtrYsdfltcYxXsoMHw7eVedkhhlmmOHd4DtvHfD69oDzi3UqnsP+MOW1rT5poal6DjuDhChXrM+F9OOc1zYHNCsuS42AjW5ML8pQxrDerhIYSVrYRN5+ktMqRwdH0ax4NEOPiuugjUFp29nIC2ULEWM3JXGksDnK3QC7oUtDOdKRIOwdf9V3SAqNlJq0KNgfZZhJEWIgjgu0sSMCPemAHDnufecpjccoOzdKgyNLt1RlSpKsmh5DYIuMyTGOuk+dNOKhLHoM4Je7fOhZr5jJSEdJO/IZpTlN6TNX9bm02iQoxseSpR9frNGuBnz3+gHz1YCssO67gyRntVFhuRlMnxtlekpUPjtfY7kZoLQp3WNt6OBzN7q4UpLkOafb7rS4ibKCnUHKaquClNxXYFQ8h+1ByhNL+sQk4qVGQCN02R2kxy/QCbjbiew4auZt8mOBWXEywwwzfCDojjOubA9oVw8lxLujhGFasFwPkFJQDazq4+x8ladPNXnhdo/nb/W4sFyn0Jq9UV6SFyFKFUobuuOUpNC0Kx5uSVIwxjDOFMMk56nVJucWavTinM1exCApcKV1bTXGoIzlJviuQy41cXZ/90QKEEajkIwSO5dJCg1oxklOWljOhi0YM1BI0QAAIABJREFUDGmhp0Zoxoj7Ri+Tnx0dIcFhF0dw2LGJ0gLfdfBdeSyEzhw5jpykDBuOFUBHMXnclVaWa8qOiZQCD0seLrTBkfZa/NwTCzbtVxnkgTi2ft+VPHu6yfeuH+C7tiPlOYKz81UurjSmNvB2nWba1crLVOej6MUZhTbWd0Ye72qEniWopoWmHnhs9xOaR7oanmON7KzPyf3vOXAdVpsVcqXZ7MYEjnNfAZsWio1ujO9Kfv7i4syu/scEs+JkhhlmeF/Qj3Le3B0SZ4qlRkA/ztkbZjy5bOPnB3HOrVI9MUwKpIBG4E7zVCw/weXWwZgnVxp8/vwCP7zT5ZXNAa9vDfmNVUsunasGdMcpG/2YuNAs1C1fouY7nFuscmmlaUc8DWsnn+SKl+/2aIURo7TgYJwRZQVxrlFK38cDEYDjQDXw0NqQKEsO1dp2M3DFdM2lFcv0tbb4MPeNXO4tVI687PA45YPKgNQa70ghM3mNNlYq7AiBNMJa7x8pUCbdmcl7MBrqgctyo0IvykkLRcVzbAKxkTQr1hl2d5DaLkgzZLMX8bhjycDP3eywN0gotGGzn7BY97m81iQvNJ4raQTufSOTWuCijHXZVebB3QtHCrTmkFsEU3O1wHVYa1XY7scU6uQuyUmYmO/9jWdPWW+aXkzWsSoeAaU9P6y2An72/CKfODP3jo47w/uPWXEywwwfYRhj79KNsXez94awfVjYG6b84Ysb3O5EaIO1IS+9R1xHcjBKeWWjT3ecAzbfxRGCO2PrfGpKEuhyI6AX5Xz8dIvH5qvc7UasNALOLdSouRFSCv6dT6+jtebPr+5ztxuRFy7Pnp5jbS6kHjj044LOOENpzShVjNKCj51qEfouX7+ySz2wt9x5oZBIXKwM1UDpfWFACBbrge0QeJKFqs/BOMN1BFGiUJMK4AGjlXs5JhpLtH3QVj35FCcZOIUyjNT98lYDYKwfixAghEQa24Uw5etFOT5xHevrUgtcqr5LoTSBJwg9t3yt5YqkhUZpzZ1OjCsFozTHuLA/TPn6i5vTY+4MEu50IwptuLzawBjr7Oo5krmqN1W8LDdsevLeMOXc4v3tDc+x31tjLI8kK6zpm9I27HGpEbBQt+66rdCnG2cslenQhbJ8pEnH7F7sDBLaNZ+fv7jEQi3gxv6YK9sD9kYpWsNc1ePiSoMLy/X7OiozfLh46KchhPivHuFYf+VHXMsMM8zwDhFlBW/tjnl1s8/BKENjCFzJU2tNnlxusNr6cA2kXrzT5ea+7Xh4ZTHywp0u7WpArjSvbw/pJzmPL9bYH6V0o5xCG1pVH2UML93tc7sTA4b9Uca3rwa8VvOtJPT8Aq6UVA72AZClUuPXnlnjxTtdNnox+6OUfpLTj3OroMnLsD/fYbkR4Lt2nFGUXI521RqADeLM3q3LSTKv5WI4wvpspLki8By6UU6UFRTKkGuN1rb2updH8jA8pIlw3/OkfPDxDYepw/bvAoSZjoY8xxYndgQkpkoZA5yeq7LSChkmOVv9mHFmw/7mQo+rO0MCV1APPLLCOrw+uVyfdi3OzFcZpQXX9kbc3B9TD1w7IpKSuZrHpZUGc1WfRsWjXfXY7seEJ8xebEaSlXc/s94iLSx3xRGC1VaFy6vNaTfl/FKNVzcHdMYZc1WXOFecng+PdVsm2BvaCIFfvLjEarOCEIJLq40Zp+QjgrcrFf/HRzzeO/3vcoYZZniXuLE/5k9f3+Fu1/o+NCseQsA4yfjjV7d57maHT51p86UnF0/8pf1BYLufEPru9PzzNd8qMNKCvWFKL8qYrwY4UrLSDGlXAzKlGKcFe6OMu90IrQ1zNY9CaX54t8coLVhpVB4oMXSl4GfOzaNvdBinBfujFFVm2SzVA1aaAUuNAK0NV3eGvHS3j+dKFmoeaWGmMuFRWkydZ7PCdnQaNY9harkPBsuf0MaOHYw+9CmxHirv7Bo97GlHTdRs8WE7Y6rsihx9ju/IY9wVR5ZrmrzWaHJtnW5D33qn9OKcRsWdSnAbFQ/fldztRlRcyZn5KkmhaFY8UqVtbo6UmCPfp9BzONOucqcTMU4LsprPk0t1Cm0//7zQfOaxeQJPEriSy2tNCq15c2fIYj2wEuZcczBOqQceZ+erfHy9hVf6wzhSTE31JjjdrlKUn9+dToTnOvdxWAZxzs4wwZWCL11Y5IsXFk9U58zw4423K05+6QNZxQwzzPCOcHN/zB+9tMXeMOGxhdp92TS65At84809RmnO6XaVYVJMRxRPLNePEQrfLyw1At7YHpYSXLh1MMYAo6zg1sGYXJljabS+KxlnRelQamXAvufgSslCPeDcYo0X7/TYG6Vc2xtxccU6xxoMG72YrV7MKC1IC81GL8KVkt/81Dqh72KwVumTDcqm5OZTpU4/Lsq7aVt09KKMrb7NqynKpMBcadLCdlkCR8LE46Q0LZEcGp49Svfk7XDU8dWVAgeB1mpKnHWEVexMpxolidYIgSstx0MZMNp2PuYqHkIIVOnS6ji2i5IWmkGcs1ALuLza4OxCjSvbQ/aGKQv14IGheY3QLQm01oU3KpOdfbfC3jDhdmeMANbmQn7l6VWS3MqDN3oxUWbwHcmzp+e4sFznhTtdru2OuLjcYLERnHg+sE6vrhC8cLdL1XPZ6dtOmeXaGGqBy/mlGs+uW5fZWYDfRxMPLU6MMd/4oBYywwwzPBxJrvizN3bZHSZcXGmc6GIphWC5GbDdj/ln373NaiugVfXBmDJIrsKzZ1p84fzC+9pV+cSZOW4ejPnBjQN2hilRVlDzHZJMs9GL0drQqNjiY5TasLu9obU2b9d88tgSO4dJwWqrQiNwCT0HRwrudGPW21V8YxhnBS/sd0vOjWCrZ23Uq77Li3d6XFpt0K76CGlN2DZ6MZu9mJ1BQmecIoH9UUa+MeDSWoNhXNCLM4wxhL5LkisyBb24mG7CyhgkAlccckkcceg5cq/k9b1CkisqvlOaphkklkTquY41WCst9zXgIwh9ybjsAiFsYVWtuKw2K6S5JskV2/0EzxF4jh13nV2ostayZmrjNGdvlLLUtMm/zgkFSpQqfEcihaQzzri6M+KxhSqOlPTijJsHET//5CJ/9fIy55csEfqZUy06UUZRFqjtqi2YVlsV/vDFDd7cHXJuvkb1ARyQQZIzSHJ+9ek1Pnd+ns7IEpqNsUXt6XbIYwu1Hxv+1QzvDjMG0AwzfERwfW/MRi/msfnaA+21tbEt77u9mHGWI4W9ExZYF9DdYcKfvr5LlCm+fHn5HaseHoSs0NzuRHbj9BzOzlfxXclaK+TTZ9tc3RkRepJLK20uLNe5vjfie9cPOIhzXt3sU3FdpLCuqDbsTVLoFFcKCq0JPYf1uZCg9OPwHcEgKdjpxwS57ZSEvkQgGKUF41QhpSXYvnCny62DiMcWqtQCh61+QjfKqXouzYrLMLEjA0NGP8554Va39DKxmTcT3xFZGpZlBXSKHNcRUz7H4XU/5IVIcygTfi8wlR1jpbi+I1FaYfShL4ounynKIsSUI6eJwZrnlJk/CqJUlwb54Ao7Ormw1GBtrnLsezVIiqll/FLLjlkOejHrcyGZUtzcG/PG1oDOOCf0ZPk5KjpRRqviMV8N+OKFBf7DLzx2rMMnpSUX34uVZoXf+OQ6f/zqNrcOIorSPTjwJAaIM0VnnBH6Dh8/3eJXnl490Rl2hp8MzIqTGWb4iOCN7QG50tMckJOwP0q5uR9R8RxqQZVeXDCI87LVLjndrtIZZ/zFzQ6n2yFPn2q96/Vc2R7y7bf22erFpIWm4jqszVX40oVFzsxXeflun0bF41Nn29NN7/xSnc445VvX9hmlGh0YVlshUVowElZ9MU4LPEfQDn2eWmuy1qpggHbVY3eQIoVgZ5iy7FrX0I1uQqE0nXHGOC0QQjBX9ah6tvNxfX/Edj+dcliyQpMWDm5pOLbcrLA7SBinBaFjLeOV1jhSoqxQZ5rsq7HKGSls18ItuyQT0zR4Z3byE4myEJYb8naYckrK7sCl1QZ3OhGD2EqwPcdWRhXfJS1sCrMrJJ5jVTy+FASey1LDZ7FUumhjGKU2o+dOJ2KuemhiV0yCAXNNPXCnKclXd4bUA4druyPudq2ax2YZges6BI5kvu4zTgvaVY+ffWLhvtHjw7DSrPBbnz3D9b0xr20OuNOJ6Mc5YL1ZPvf4PE+tNTm3UP2RC+sZfrwxK05mmOEjAGMMe8OU+tvIHbf7CWmhWK2FKG03+iTXlJ16wJJT94YJr20O+Nha812RBa/vjfjqK1v0opz1uZDQd4gyxa2DiIPxJkt1n5c2+qw0g7J9b8/hOZKVVkij4qFNzihVNliusKm4pWqXXEOqFOcWQuveCqy3qxyMMwZxzka34OKctsTU0sBrnKnST8N2iXzHupaq1HIvHGnscws99VVxHUmcFiitS1JxYR1jpcQYhdYGpZla3cOEZAqylDufNMF5O4mw4Z0XJpOnSAGtqkfgSHzHEonnqwpHCpLCZg9JIZhQihwpILfXp15xCX33mC27FDYcseo57AwTnC3Bp8+2Syv+FIFgvhZMXVpcx47gXtkYsD9KWaj5+K4DAvaGGcMkJ2gEaG0XnStDL8rf/g3eg8B1eGqtyeXVBr0oJymjCSquQ2uWefNTg1lxMsMMHwEYU5ItH1JIJLlif5RSLcPRBJRW6PfvgIv1gLvdmM44Y+GEFvvD12J4/naXg1HKpdXmtCtSKVv73762R6EgyQq2+wEv3bEJwxPfkd1hwvpcyJn5Ktd2RyhderVg81taoeUgjDPF7U7CpVW7Ia21KoySGt++ts8gzjEtg5R2nNOPczKlLfEVa64V50VpUibxXDvS6EQ5fjmWSZXl4Qggzoppd0IA0uhDo7OTrgG2gLoXE2Is3F+gSOzdf6E0uX70sU/g2vHVwTinG/VpVT0uLNc5NRfiSWFt7svkZdeBaztj3ty14YqB57DaCo85t07gllLq/WHKwThlvubTGac8sVRjo58wiHOo2c9da0NnnFEPXFuYQKmWsWTidtVjvuqztt5EacPrWwN+5rH5h3b7HgQhxNT2foafPrzj4kQI0QX+rjHmd97H9cwwwwwnQEqbELs7TB/4HDuOMFNlRaYMjiNOJL76riQuN/SHYZjk3DqI7NjGk5xbqJEW1qBrqXHIUVBa89rWgFv7YxwhSbXtQHSjjFFScGN/TH1nyFI9oBtl1Csup5tVlLL+LPujjDgvkFJS910KbeiMU7b78dSXQgrBQs1noe6jtC1mcmVHE1aRA1IYikmycNnVyFEk5Q28EIApPU60TeedjD5Kc1XbUZGHnI1HwVFn1sCFvCgN1wRUXEkYuGhtGCT5dBwER9Q+5WsnH5mZOMQCviNIlW1LtGs+C7VgSlKtVTz+5mdOc6oVUmhLdv0/v3eLuarHIM3pjnLCh4xXKp5DN8rY7CZ0xxmPLdR4cqXOH720xZXtobXjL8dHaaGoBYcF7SQ5+Zn1Jp843cZzrDIqyRV3uzHX90c/0vhwhp9OPErnZANov18LmWGGGR6Oy2sNruzYO+GTCg6ntDGfWIQP05x21WcuvL8Vnpddgwcpdgql+cGNDi/c7rE3SlDa8i6WmwGPL9bIlabiHR53q59wpxPRqHgUyrAzTIhTxVzNZ6EeoJQhVcoSG3NFlCncUk0xV/VJlZ4GtGVKIYUldR4VXERpwc2DiFboc6ZdRRYRYFhtBuwMU7LSKXcCfeRPYSaFie1YZIV1TfOkHZEUWiOPpBSXrubvmthqjdskldC+jyRXU86I50j7OR3prdwbCOhIYb1WtB2qhIHDfC0gyhSNwOGJ5Qat0GNvkNKLcsaJ4l/9xR3qofWF6UU5r24OOLdQ5fJqkzsHEZv9hFrgUg8cpDj+uU8s9t/cHfDXnlrhV55e5ex8lXb1/2fvzWJlu9L7vt9aa08115mHO5P3kpdNsskexB7UkiVbsyNFspBIli1biF+EGAoQORCCwHBeoiSIASV5MYIkSBTZAmQ4dhIPabWkVjS0Wt3qVg8cL8k7D2ceat7jWisPa1edc+582Zdkd7P+QDfPrX1q16pddWp99X3/IeD/+votRNZ3UuSqx87ATsIMB2nBMMtZaEQ8s9I6Ig+PfEWuzYQzMsUUj4JHKU7+CfArQojfttbuv1sLmmKKKe6Os4sNFhsRa52YU3O1O45HvmK2HnB9d0TkS7SxHGtX7ioB3RmknF9pMHsPtcOfXdzhj9/aIfQkp+fqzsei0Gx2E750aZdUG4yFVsVlsax1E6yFSqC4sN7DGEur6ju5qxAoz/Ei4lwzWw3YGWSsdRKWmxGn52uMsoJhVjBXC9gdpgzTDCUF8/WIXpKzO8hIC83xmQpb/ZRaoBADAIHBkVXHnRJr7xypWCjltkxycGwZROdbMbnD+L7W2pIIK7HWPBQ3RAnX4RJl+rAQgvma8whZ741IcsPeyPm4+EoQKmfeprXrlGhTrp+D9GABNCKPZim3HWcJNSMPgUvlfXuzjxCwM0j4yMlZAk9ijCuILm4P2eyntCs+x2YqdEc5mz1nMT/ucGhtSQoXorjYCPmJ51c4Pe/eXx85OcMLx9t87g93GKYFw75mb+gk3wIIfcVSo8Lx2Qr2Lpa344JwiikeFY9SnPwWcBb4uhDivwXW7vZL1tp//TgWNsUUUxxFq+LzySdm+b3XN7m1H7Paju7goCy3KtzYHXFrP+aJhTor7Ttt7Dsjt/GfnqvxjZsdru+NJsm3C/WA2VrA167vUwvVxPMCHFHx5FyNW/sxvV7M3jBlpuojpaAX59QCRWeY0U8KVtoVQiXZ6CfEuSYqXULT3DBb80FAWhikhIV6wJMLdV6+2aFbJvymhWahHmCsoTvKWGmFPLvawlrLv3tlg2GmWVAuj2VveDDqul+XY1xgjMckAAgYZQYlBZEnGOZmEtgXlLJii8AUd2PuHIWx4AuwSLQ2xJmmlxaESuAphcwNSoDvuYA9KQTdOEMLx51peookL8pkYMeFCXyPY+2IfqrpxDmBJ2lXPaSQjLKCzX5CN85pVnzOLTU4NuNeLyVdTk41UGjrOlvzjZBnV5uMSn+TrLSyDZTk5JxL4l1pRZycPZrKOx4p1kOPH5pf4g8vbDFbDejFOXGu2Y8z9m9l+EoyVw9YbVVYbIQUxqma7uVXMsUU98OjvGt6HIxE/wl31sPjGvnRmU9TTDHFQ+GjJ2fIteXPLu3wxkaP2WpYEkjdN+XuKCMKFEIKZms+h4PuC2PY6WfsDlOakcdfXN5jd5gCAt9zibBZoRlkBVvdlO87N3/XNSy1QvaGzjl0o5cwyjSdUQYWRrmmErgEWSkEFkeg7MX5ZEwR+S69NlWaXBve3OzTjV22ji5TZI/PVDg5W8VXkpV2hZ94foX5esjraz08KRilrqCg7G4kD9ndGMMK5/EhhVPiCKBS8Yhz48L2Jk6vbnzxMKe2OJ6P4MBefhBn9DngkzQiH6Uk9dAjKQyVwAULjhU1jYpHPymohx7WuhHYVi8l1QYhBL4S3NyLsRY6cc4gyV1hE/ksHyokG5FHLfQYJAVz9ZDQk2z3UxTw4skZzszXJt2m8XjtjY0eZ+ZrbA9S9oYZADPVgJUyp0kI+L5zC3z9eoeb+zHaWqqBouYrhHDeMjd2R2x2E07P16iHHvP1iDPzd3b5ppjiQXiU4uQ/Ytqgm2KK9xVSCj715BwrrYgLG33e2uyx2U8w1lmBP7XU4CdfWGVvkHFhs8+lrcGhP1pLuxoQ+ZJeUiCF5Mx8/QhPwFjLV6/usTNMeflWl+ePt2hXjo5+POn8Mz58osVyM+KVm102uwlCQBOfrNATUu5iM6JZCejFGXvDDCUEz642WWxEbPQS/vLaPn9+aRclBdVQcbxVZbYecH65QTXw2BmkvLXhxhY/+eFVTsxWmK+H7AwyrHAS4bTQGGtLu/aHC9SzFqxw1u5jy/dRqgl9icARfHNjydLivhk4t8OUXZkxV6Ywjs1xeORhrSMqe1YgC0GoJPXIY7HpioB+krParlDzFV+8vIs2EEnBQj1kpupzbS/mrY0+BheaFyrJuaU6rUPcIl9JVtsVXr3VnZCkFxqOm3Njf0Qz8sm1QQpBu+KTacfXub435PX1Hr0kxxpLYcBTgg/7CY3IY5Dm7I8y9kcZTy7Wj9ja+0pSj3z6Sc6FjR7NyOdvvnTyyLruh71hxo29EdpaFuohx9qVqfX8BxgPXZxYa3/zXVzHFFNM8Qg4PV/j9HyNTz4xS7fsSoSeZKkZTWy7X3pilotbAzqjvIyb97m5P+KbN7qcmKlSCz12Bynbg5Q410icoVagJK3IZ2+Y8dpaj4+dnDlipGXLRNuq7/Hh420+fLzNajvi8xe26MU5e8ODjVggqPiK0IvQBp5ebvDMisvFCXzJyzc7tCoBTy018JSkXfGZqQUTFdBSM6JV8Xlzo0/kbfI3PnqcD602eHOjR2EMhbalKZqgFijSwpAUD/cdahzQNzZE8z2FFJAWepJEbCVY8/AJwuB4I17pLDsm9RalMifXhlAosBAqRSY1WWkEN1cLJ9cMYL4Z4UmJJx0nZa4eMlMNiHyPb97s0Ao96pHHXD3kQyt3qmFWmo6ftD1IWKxHKOEs/L90eYeZaog27roFShDneuIhstyMOLvQ4Ob+iG/c6LA/ylg9ljJKC778lRvM1AJC5ToxzciNjsbjRVNeqGGiaVcCnl1tPvh6GcuXruy6oniQYa0Ls3xquc4Pf2hpIo2f4oOFd/SqCyFOAKvAq9ba4eNd0hRTTPGwaFeDe1p4t6sBHz89O/n3Vj/hi5d2makFaGP5ypU99kcZmTaO+Inlxv4Iay39tGC5GbHbT9noJZw+RMDtxjn1yOPE7MEY4dljLS5suKTYpJS6aGNIC+MUG6Oc2XrAsfbBfa7tDDEWPnZqltXydmMtg6SgGqrJt/LIV6y2KlzeHnBjb8SHj7f57Ksb6OyANOoIrIrAE+S6uGPEcy9epsB1OjwpiHwB1imeunF25Li+y33vh6K0lpe4cUjJZS2VVuUYpHB5NdVAlj4v1sUMaA3G5eI4u/6cZiWgFroCMSu0I5oKaFcCnl5qHOl+jVENPZ5dbfHqrS4bPefi20tyssIwXw+ZrYV0Rzm7Qyf3NhZeOj1HLfQojOHGngtQfHKhjrUDeknB565t8sRCnRMlL2WQaXq9HCVEaU7nUqDPrzQIPcmtTnJk3HQ3vL7e44/f2kYJwdnFOlIIOqOcr17dJ/QkP/bcyiNe/Sm+G/BIxYkQ4peAXweWy5t+GPhDIYQP/I/Af2+tffuxrnCKKaZ4LLi4OWB3mLHYCPnmzQ69OKddDZg71BUx1mXcbPdTru4OqPqKr17dY6uXEHqSauDRS3KOzVS4tjvi+t6IWujx5HydH39uhf1Rzp+8tcUb6z0yY0hzjTbO2j7wJRu9mNCXGAuXd4bM1oIjOStrnZiLWwOWmtGkwwKODLzWiXlzs89S2VGolsF82tpS3XIgzh13Qyx3L0wUzutFKUFeGsBVPI9cGwpriALl5L4l3yTJ9aTT8rAYZ/OYQ22XvJwjxZnLBTo9X+OppQbr3YS1TkyaG3aHKf1qwNtbAzpxznw9YLYesjvIkAL2RhlJbpivK86vNDg+c+/Nf7YW8MKJNq/c6vDqrS5Jrklyw9sbA8JAUQ0UMxUfT7l13twf8fRyk7ywJIUBYbm+N+LZBeehM0w1o6zg0taAZuRxZq4GAuK8QCCoBh6LjZBmxefNjR5rnZiPnbq3A4UxlldudUlzw1NLjSPrzrThwkafl87MMTs1Y/vA4VFM2H4W+N+A/x340/JnAKy1uRDiw8B/Dvy9x73IKaaY4lvHhY0+oZK8vTmgF+csNo8GvYEzOmtVApZamrc2+nRGOVLAMHWpr0mhiTxnVb8/zN0AQsBCPeSZlSY/8dwyr9zscHl7SKXc/LSWZIXhrY0+b6z3aFd8lpoRa/sxTy03uNkZsVAPaZQKFiEEt6ufhRA0Ip/L2wM2uzGRr2grn6xQHGuFXN8fltwKQTX0yIqCQo9ddZ3PieaofbyUzh1VG8fXObdY48LmAJ1DzfeIS2+SeqicIZsxD80/GRdE2kIoBUIJstygcR4rUgieXm7wiTOztKshS82IL13a4eruCE9ANZC0qz4IF9g3Xw+ZqwUkhcFu90kyzSdOz95VUn47GqEiL9wIzJOOBBwFiplqQOhJ9kYZ/UTTjBRXdoacmqvhSed1c3lriBAgF6HA8U9Wmo4LsjNIubk/4sWTM8zWGnc8rpJyogi6F9LCsDNI78pLaVd81roxnVE2LU4+gHiUzsl/Bvxza+3fE0LM3eX4vwV+6bGsaooppnisyLUhKTRJodkfZcxUHa/DWkuSG2dCJoTLyCnD4ELPEV8DX7LcjEgKwyDNEQhGqWZmMWC5FZFrw3Y/5fde3yQpnDqkFnps9hJGqTNcK0q31byw3NiLubEfEyjBVt9nlGlqocexdoVzS3W3afp3N5nbHWTsSVhshOiBdVwZ5XxDcm2RuE3VGFeRjM9iBaix/0lprDbKDKoweNJZr7+1NWCYFhSFwShnFe/4Ne74oxiyHbawtzjiqrHgYzkxW+XYTIWZqs/V3RGVXko3ztkZZDw5X+PZYy2WWxGRJ7m0PeC1tT5vbfR5/niL2VpIxfdYaVc4+RCFSWEMr6/1eHOzjxSCmVpImDrC7UIZAKgNdOMh3djSTwZO5qyc/LiXuuI0K7tL1lpGeUEj9Fgo1Vo390d3LR5ybaiG9xdv+koQepJBkt1xLMk1gZJ3HVlN8d2PRylOPgT85n2Od4Fj39JqpphiincF447B7iCbZK0MEsc3GKaOoyGFI9W6EYZlrh4yTAvqoc9sPWC9m3BipjaRpV7cHjBXDybKkH6S840bfV443uappQa//9oG3ZLjYK0l14aoRXXlAAAgAElEQVS8cOZmY1nx7iBjrhqChYtbfYy1PLPSvKOjA67o2B9lVAJFHrifs8IQp5pm5NOJC+LS+dVTztxsbB0vOOB+jKcsFrcxy9JzZaOXAG70kmrt+CZCTlQt8p2QT3DdmfH2OlcLOTlbYb3nug5YgTaGUa6JfMULJ9qTbkiaaxqRz+m5Ktd2h2z1U07P1fjes/Nc3Orf0V26HcYYXr3V5eJWv/RxcXcQQjj5da7pJTnbAycHx1ri3PCFSzuslvLh+XqAJySeKjDGtaEubg1KiXGFWuCx3U8ZZcUR4mqcaQJP3uGZcrdr8+xqi999dYNRWkw8UQpj2OgmPL3SOOK1M8UHB49SnFwDjt/n+KeAN7+15UwxxRS3I8k1F7cGvL3Zp58WRL4jKZ4tLcwfBp6SzjgryfGVpBfnrHUdSTLyJKGUGGvpxjn9pKBd8fGkJNcWa51Xia/kpPOS5AW7oxRfCp5aatCoeOwOM2qBx97QteFbVSdR3e47NVCunXlI4LlRCjj785udmDPzNWqhz829mPl6gLWC/ZGTH2tjmas7DoKSgqrv8acXt/lM03U9ZmsBQggqYcbafkyuXdExdicdu77K8b85ykMptPMZ8ZQsxxmWXI9t5C1xWmCFKC3fH414InAbbVq4bB1Pue7FiyfadJKCrDAkmeb19R5Yy2Y/ZakZstlLubIzdLlBpRdJ6En++odXqIce//RL19gdZCw1j5rsZYUhyQt6ccGl7QEXShl2nGmMLagEHtVAgbVc3xsyykpyLZDkzkslK1yAZOAp6qFH5ClXnCnBsXaFvWFGJ84prGW+HmK1e9wxL9tay83OiNVWhScX6g+8Ri+eaHNzf8Qb6333XpUul+fEbJXvP7cwUZ9N8cHCoxQn/zfwHwshfhPolLe5LqkQ/yHwC8B/+VhXN8UUH3Bs9hI+99oGV3dGjljqKzJtePVWj9V2hR96ZpGzi3fO+++GZ1aa/OtvrpEVzjQtKwzN0JvIQBWCwJNY68YlVW3ItHNM3egmIFxXwRrrUoPTgjc2enQT5w67PciYqwf0k4KtflJKfJ1qRxsnhxUlyRQcv4XSaGx/lHO8HXGtn/CFt3cIfclmL6WfFBSl3Xyz4vGRkzPsDhI2egmqJUqjN8eJ6cZFaVQGhYVAQFrYg4ydQ/k6t49djIXiLvwIYyypm2fc0Xl5GIxHIZXAo1m6rC40QlpV9z+A9W6MvyXxpGC9MwJr2R86+fd4/LYzSFjvJHzzRoefevEYTy3W+eKlXRYaIbJ8La7uDlnrxGz0kkn3S2tDqxKUTroZSZ4CARtdS24szYpPnGlsSfyNlBvtZYUlK3JkKWy21uJ7ktVWBa0tw6xgEBdobZmtB5P3UGEM1/dG1EOPT5+dOyJBvxdqocdPvXCMc0s9Lm8NyLTh5GyN8yuNI2TpKT5YeJTi5L8CfhT4GvBZ3N/drwkh/hvge8rb/7vHvsIppviAohvnfPaVdS5uDzgzVz8SO59rw5WdIZ99dYOf+Yji+MzR9rm1lo1ewsWtAevdhKKUC1d8waX9BKnkEX+Kg/s5bkeuDVv9hFwbbnXj0qBMUfEVke+4KLmW1ENFoCRrncSZrBGVJmbW5fHkhrRw9uzGuDGJwTnBegI8T2CtYZDkdGJFJ84R1vmbjLJiYl4W55ok1/z5xR2EEHSTHG0tWltudeIykdlMCh9jLLk4GGfBgSzYPmTey0T5M8nbOUqopTyfK7qcQZ4uuTXGHthlr7arnJ6rstFLaVU8lBAMU8fpubIz4srukJ1BSq4ttVA6h9jIY7V18JoqKWhUPK7sDOknOc8fb3Nxe8iVnSErzYiXb3bY6Cb005xBUiAEDFNNNfAIPYWSroDJtaYX54yUZqVVwVroJ5nrPPnu93JjKYwr1HaHKZ4X4SkXkBj5imMzFda6CcMkZ7ObOMferGB/mBHnmqVmxPc/Nf9IScSVQPHRkzN89OQ0W3YKh0cxYcuEEJ8Bfg34u+XNPwpcxcmLf91aO42fnGKKx4QL6z0u7ww5u3Cnj4WvJGcX61xY7/HNG50jxUk3zvmjN7e4uDVgf5QRlm35TGusFfRTjTYF9bk7+QBi4rpq0NpSCRS6NDnDWjqjrJTIuu6JBTzl2v87A+eJ0qj41EIPrOCWGE38O8aw1nVfkJKq7yEF7I8cF2aUFkSe5NrekO4oRylZht/5GOPGToV1tuvjDsYgLQDn9mpKxY4a81pue34P6c92sFYORkJSlEVJ2WAJPMFMNUQIS14Y6qGPkoLCWPppRl44Z9YzczVudEYkmaEaKL5+ozM5V2eYU4vchn99d8QgKdCGI0nSSa7RBs4t1hlmmr1hxqm5Gn/1/CK///omX73mzMuiQLE7ymhVAgpr6SUFmXY5RUmhman6aDx2+hlJrsvX0jLMNFXfoxn5eNIZsvUpENYVkVVfER56/1UDj9OzVXb6KVk5qtPGsth0+UfnlurTjscU3zIeyeekLD5+Hfh1IUQNENbawbuysimmeJ/hJJ+Or/Feo9CG19Z7hJ66p1pBCsFcPeTtrcGE59GNc/7NN9e4sN5jvh4659VDzMmTsxVu7Mfc2B+x3hkxWw9d8YLLwUnKDoU2ltCTNCLf3T7KMSWZ1RPu27UEsJbtXoIqJarDTE/capcXI/ZGKWvdeCIpLbS+baRiKSxk2rDejSmMY4TYcvbiWUPgK5LMkV3teCQkhfMPsa7YMdZOfEhyffcsnEe0KTmCiSTZ+bThKydZdrk0gky4jbwZ+gyygsVGRFISWj2PcrziMV93YxhjLevdmM1ewmzhvF4WmyE3dmPivGCQaepZwShzxcrJ2QrzjYAkN/jl+/G5Yy18JXljvccoK+iMMjea8tVkRBWXpNdmJaAVKZLcMkyc94wpi7x66DNXDSbv89BX+J4k8ASFtmTaGel55TUvtOMKCQmffGIWTwo+fXaOT56Ze1/+Vqb47sQ79gUeO8MKIT4KrAB/aq3tPa6FTTHF+4UrO0NevunCzZQUnF9q8MKJNjPvoddCnGsGSU7jAYmujcipJQZJwUzV5w8vbPK1a3tIIXh9ved8KVoHIXoV3+fHnl3mX37tBoPEEScDzyDBSYWTwhUd0lnZW2sObN6FwJNOXquEk9cWxnEajLV04pxhWjBMc16+0WWpFRH5zlL/1n48sXBX5eY+3wiZiXx6aTEhQRrjChZPumJCW0GaGXS5kbrODoiSxHp4bjOe1jxic+Sh4EkmLqjKc9ci15ZAuQRhJQSjTCNFTiVQCFxRu9SIOLtQRwnF8DZFy2w1ZJAUZNqy2UuZrwe0qh5+CkmmGeWaVtW56q60Ii5vDzm/3DhCgn16ucHHT83gKcGlrQFSiokrL9YlDldDD2MMW31NnGvSQlMLPALPMUoiX921qJBCMlfz8JXAUzG6JDcr6QqaYzN1Ts1Wubo74trOiM+cXXgXrvwUH1Q8ignbh4HfAP49a21S3vaPgV8tf+WmEOKvWWsvPv5lTjHFe4M31nt87tUNdocZrYqPNpbff2OTq7tD/v0Xj71nBYqSzowsf4Cxhjaum5EWmm/e6PCly7vsDDLS3FAJFHFm2Rt2GaQ5Ty812O5nbHRj2tWAQVpgrCFQHqps50e+JKr4IJzhWlEYpBRUfEmcaQpbjnKkoBI4R1Un6dUM04KkcCTYq7tDDK4IKQwEyhFVXV9EMFMPaEU+g1wTeorhqHBZL9Idd8/aFSCaQxwPe1sRUkqS4d0pSsYoDBjhnlvkebQin15S0IkzPCkRwuJJx8fRZfHWqvg0IqdiGqQFG90RUji3WykkoS/xPWdTb4zrRrSrPj/x/AqNis/1vXjCUbm4NWC1VeF7z87foV45v9Lkzc0+i40IpQSBkoyygitm6CzzC9dtqYduhDbKCkaZJjfuPaLkndtAYdz7wlpYaVdoRn0Kbfn46RmUELSrwaSjF/mSflqUEQJTZc0UjweP0jn5R0B4qDA5hytM/iecY+xv4EY+P/e4FznFFO8FssLw55d36cQ555cbkw/arDC8vdXnmzc6/MD5xfdkLdXAmZJ940aH5dvkooex2UuIM83vvrbBq7e6vHqzg5CCM/O1SebOMC24uDVkvZOQa4sAWhVXnPTjnNwzBKEi8hWVQLHUiIgCwdeudsi1xRei9AkRaGvLDowqCxrDYJC7okMIqoFwZmvastGJ8ZSTKLeqAb0yv8UTkOaGzTwh8hW1qnJFFmXxUhJZs0PBfGPcbTQzztF5SJ7rO4Ysu0aDpCDwJM+uNuknObvDnGGa43uCRuRxZr7GZj+lO8y41YmJM83eKGN/lLPeTWlXvYmCJisMWhtyA4UpqAeSj52e41NPzPHqWpc3N/oUxvDRU22eO9a6q+fHh1abfP36Pm9t9mlGTvorBPhSEucFoaeolR2b0HOvc5JrssIS+orby4miVGNVQoXWzkpeGIFfduHuuC7lmEobi6emxckUjwePUpx8CleAjPFrwOvW2r8PIIQ4Bfwnj3FtU0zxnmKt4zgAq+3KkW+AgSdpRj4XNvt85tz8ezZX/9BqkwsbfXYHKXN3IRj2RhlvbvZRQtCJcy5vDyYFQJz3Wahn1EOPXpyx2Uuphx6ny6LFV5KZms/VnSHV0I2GskJzfKaCtoa1/YJRbhDSbfpB+c3bWMeHybQhSQoy7ciavoKK71EJJKNUU488CmMd/6IeIIRLHN4f5aSFIfQU9UAx3wiZr4dkhWZUdl48YY8E9x0uOJwxGncE+42PvZvFybhAK6ylN3LS3b/+/AqelLyx2eUTp+f4njOzfPXqHm+s96kFin5asNlLyQonyU4Lw1onZaufstSIaNcCamVGUD91o7UvXtqhEXl88ok5vvfs/AM7EvP1kJ/96HFudmLe3OjjSUdwPbdc59WbXXJt2RtlZQqx488U2r0Gwt7Jz0lyTcVX6MKgpDPcW5DOwfXSWpflVuWII6w2Fl/KKd9kiseKRylOQly8AkKIWeBvAb986PgIuPdXvCmm+DbHWJrq3cX0yVNOJloY5z76XuDcYoOPnZrhzy/tMsw0S42Q0Ffk2uWRXNweMMo0VV+xN8yg5A/k2hBnmis7Qyq+SxvOjSNyrnUT9kcZC42ImWpAI/L5yIkWr97q8cZ6j61eyrGZKpFvkcJS8d1HRG4sFIZG5FEowWBQkGo9UcwY40itJnXXaJgVNCKfwJNUfcUg1+wO8wkxNis0ftUn14Yb+yOMOdgkH0ZRM3Z9Pfyr3wrh9WEw5pyME4G3ein/5ptrLLcqzDcc+bgXF/zltX2MhWFWcGs/RgrXUUkLgzauSDEGtgdp6Tzr+DuzVZcW/eZmn4tbA/7g9Q1+8OlFzi41JqnN98Lx2Sp/55On+GdfvsZ8PWK+dPT9+vUOvSQlChzpGRzBtTAWzzi+TKYNlfJNnRYabQ1KSPqpxvdc8N/TZWDJ21sDbnVinlysc2auNvG7eWbl4bx2ppjiYfEoxclXgF8VQnSAnwI2gd8+dPzjOK+TKab4jsR8PaRV9dkdZhw7tBlYa+mMcs4uhlzYcBbrzcjn1Fx1opx4N6Ck4K+eX6QRebx8s8ON/dhZqUtng94IPda0xXrOF2QsxXWboEUItxFpA63IY74aYnGcg/VOjDZmorDZHTmvCyUF1UBRaI2UEovrmnjSKXm2eglpublhnc+HxnUyklxPRgRaC/LC4iuBQJAXGqMttUBhLYwyzWY/5Vg74ubeiFQ7FciDcOQ33u1WyW3QpSrIHuK57A4zFpsR7YrP59/Y4tL2gPVOTKYNg7QgyV2+zJjjEZbEmyTXB861UmCNk28Ps4J+WpAby5sbff7iyh7PHmvx0y8e49Nn5++7vnNLDT5+apZv3nAemVd3hjQCz6UuW0vgq1JtY/CVQilHno3zDFkNSAtDmhdUAh/fk2SFpV3xaVUCPNkFYLkZ0Ylz3t4cUA2cqVzoyyMJ0lNM8TjwKMXJfwH8AS6V2AA/b63VAEKIp4CfB37lsa9wiineI7QqPh8+1uL/e2ubW52YuVpAYSzXdofsDTOEgEvbg4nj5/F2he89N/9QFt3vFL6SfPrJeV480ebi1oArO24ttUDxF1d26SY5qzMVpBDUQs/JaymJqBOTD0vkK2TZEWpEPoPUfas/MVtlf5RTaEstVG6DTAs8JQmVLBUpbpxhjKWfHkiBx2buYzv48Q/WOt6CsQaQRFKQ4dQrqpQ11yJn3HV1Z0iaG7R1fQ91l5HN4T7WmAg7pja8VwwHi7O1t8I973HHAwvH2hEfOTnDhfUuV/eGjFJd8jDKjpuxZOWLIQ7l2xTa0BmlLDWrRJHCE9KlDlvLciOin+YkucvH2R1mLDRCzi3d2aEwxhnRXdoekJe+Jn/wxiZJVnBspoIoE4T38gyJk3mvtkPqgSIuDN1hNvHDWWhGfGi1yU4/ZZBoWpWjBHAhBDPVgI1uzFonphV5nJitPlQ68hRTPAoexYTt60KI88D34rgmbx06PAD+V+B/eczrm2KK9xSfetJ9O335ZpdbnRhroTvKEcJ1K2ZrAUoK+knOpe0B3TjnJ19Y5fT8u/vhfHl7yNeu7TuCZSm5vb47YpA57kOr4tOu+KVhmHP7zLTrjBTlOMpYOwnUiwLJVs9ZpA+SgrlawNYgRWsn242UJAoUOi3ItfPEGGTFkeJACDHxHQEmab8W56rqKQikZJA775PDQXXjNGSsxWAxmklhcztuv2niwHoP3snd7vM4MA4R9KVASll2hVwXKMk1V3dHWGNphB7dOGesdB6HHILjnADOSRY33vGkwBMuNiDLjVPxKEkt8NDWsthw3aV//pXr/PIPnD1icHZ5e8BfXtvn6s6Ibpzhe9JJsLXBAOudxEmam6Hz7ZEQ+Yqq7xRaNtcstSpEvuT5Yy1W2hWywrDWSZyR3j1QCz3WOjHBfJXnj7emycFTPHY8qgnbNi5j5/bb14C//7gWNcUU7xcCT/JXnl7kxRMzbA9S3tzo8aXLe5yarU4SU8F1H84teby50ePLV3Y5OVuddCYeN/7iyh5/9OYWce4sx+vl5rfQjKDvclSSTNNPilKC7MY5Vd+pNkbWjXmMsUglMFhGaUHFl4wyjScNi82IXpKznxVIxCQLJss1SWGI04LC3NbFKMmU49tusx0hVAJPOf8SKQRWOKv6XFtGmSt6BIfUNvadFxUTa3reZe7JuDDSBoGkXfWRJWm0nxSEvqIaeAzSAl0Ycmux1kw8Wg6dpixcLPujrJQXi4kUGNx7sRfnZGU+zq39mM+9usHPfuw4ka945WaXz1/YZHeQsdyMWG41kEJwYz9mvh7iK8FaJ6Gf5FRDj+OzVeZrIe2qT6PiYw3c6ox4aqmOpyQ39mIEYlL43S9wLys9cT5yYoYXjrffzSs+xQcU79iE7dsJQojvx2X/vAC8DPxDa+0fv7+rmuI7Ga2qT6vq8+XLu3hSHClMxpBCsNyscH03Zr2XHOGpPCwK7YLSru+NSHODpwTtqs/ZhQatqs/bm33+5K1trHUE2TEEUAsUeTVgkBQYLDv91PEJpHSFhBBI6TZAiytK4txxUqqBk5fGhQbrTMSqgaIbO58OKQTtSlCahBnykrA6Lh7MbYXE7Rk2Fsi0xVg9SSAuSlfZwh69/+MwT5O3z34eIw5TWyyuKNOAwjJXC5AwGdtEpTS3GnqMsgRtD9xlLW4EMw4g9KQjMI/ToH0lmKn4ZMbxQjzluim9JGe5EXF+pcnF7QEXtwZEvuTzb2wyyAqOz1TY6Ca8tt7FGEpDvAxrBQZoRv7Erj7Xhl6S86GVFsdmKqSFZq4e8plzC3zu1XUubvWplc63Sa7vCO5LC00/yenEOU8tNvjRZ5enKp0p3hXctzgRQly+z+ECuAJcBP6ltfYPH+fCHhZCiI8DnwP+LS7z528BvyuE+D5r7VffjzVN8d2BXBu6SU49uvefSb002RqmxSOf/82NPn9xdZeb+zHDpCh9NNzGtVAPOb/cYGeQ0ktyzi8fJRw6TxIn7W1GPp3YbTxx4fgK9dAn1YZuebuxljgrCDxFtSSlrnVicuOKGYQk14aVVkiu3QbUqHhEA8VmL5mk+Y5x+/4/lviORy0WxztR0tm6W9ymnD/E2OZBuNf3eSkF5iFItd8Kxt0hKYST4gpBPfJKu3dJoSU7Q2dKdzjk+LbpF0o419nAU3hS0E8LpPBYaUd048KNhbKCUWZoVQVPLNRZaETsjzJeudklN878brVd4eWbXbYHKaEnkQi2+gnr3YRG5GzpXVKzJM4183WXOPz2Vp+5ekBWGBqh89T56Y8c5y+v7nFhoz8JjtTGopSg8NxYsJ/k1EKPWujxMx85RvNQBtAUUzxOPKhzcp17f3Yo4Czwg8AvCyF+B/jb1t5tEvyu4ldx4YO/YK3NhRD/Dtc9+U9xhcoUU9wXjj8ypBvnKCFYaUecmq2ihMCTkry4d55lXrjMkbvJj++Hb9zo8Pk3NunFOSutCqdmDzgreWkT/tlXN+jE2V3TXQNPstqOeH2tx2IjYrYaMKgXXFjv4XuKlXYFi6WfBBTaoqQzXotzzXY/dfk5FiJPorXm1v6Q0HfJsPXQ42YnZneQUZThb8CkQBmPJMoswEnXQwBKOeIsZccgL4sFKUQZAPitNzYOd1xgzH8BieXRS8SHf7zDaFZ9Kp5zzV1tV1wwobXsxzn9OJ9wS+DAl2X83McyaF8plHBSXk8JfE8Q+h7Ho4DIT+knjuv05GJ9wmlaqEe8equLBU7OVrm+N2Jn4DxTxmOYTOuyE3cQe+iKExdXsDoTsTfIuL47IvAkT5YdudlawA8/u8xLZ+Z47liT//Mvb7LWSaiGCincOU7P1dDW8txqixdPTsc5U7x7uG9xYq39gQedQAjRBP4h8A+APwb+58eysoeAEMIDfhb4x+NE5LJA+VfAPxBC/J2xomiKKe6Gb9zo8MVLO2z1UrQxWBzZ7/RcjR96Zonzyw1+7/Wh+wZ5lwJkq58y3wge6ENxGNd3R/zRhS2S3PDU0oET7Ri+kqy2K4zSglfXuszXQ5Zb0ZFkX2MtC/WQmarPdj9hoRHRrPg0Ks50zVJFa8swLXjuWIs017y1OaCfukKrFnjkxhB4in6Sg5AsV3y6cc7ZxTorrQrr3Zg/L8daUghM4UiWUnBHJ2UCayddAm3BaGdJLxEoCaUo564mag8LCYS+RCnpUoiVxFozGZdYyz2LoEcpju72uxKohB7LzZD9QYYnBQv1kEFaTIixUoHQlKGRLqVY2IPukgsPdK9lqg2BJ2gFLiqhM8rQ2tJPC4ZpgZSw20955VaX03NVN2q8sksUKJ5aarDVT6kG3h3vzagkRMeFM2Qb3zZMC/LCuble2xvyA08vcuY2Mner6vOD55d4/nibL7y1w8XtAUHipMTztZCzi3W+7+wCjWjaNZni3YN4XI0OIcT/A6xYa196LCd8uMc8BtwEftFa+88O3f6LwG8Bq9ba9fK2zgNO16rX63z2s59919b7fqPbdR8wrdad38Q/iBhmBXuDbJKiO1ayFMZMeBmtis/eMHNGVb46VCBYMu0+5GdqPs1DH9QPus57w4xunFMN1JGC43YkhaYX53hK0ow8PCnRxjDMNJl2ktPxmieheMaWGTXOs2RsNT9IC9JcUxg7Sfx17X5HgDTGUgkUFqiWpM7xWCvLnXx4fO4xf2JcBLirUf58m+JG3PEDk/W+EwhBGTooWK44oul6fHANJiTdQ12ee57r8Hoe8rEF4EnpigHh7OBnqj7DrHDZQ9q6MRpuLaIscSbPVxy84qLsRkjhOkt5aeEProgx1h33ZBkbIJ1cvDPK8T05UQVRXpMxcm0mkmQBZWK0O66NxfckhTbUQ49jM1XCByhtcm0Y9F2ma73RfFe9fT7o+CB9Rv/4j/84g8Gga629awvucRJifx9HSn0vsVr+d/e228f/Pgasv3fLmeI7BdbCICnQ1k6+WY7hSYn0XRBeNfCYqQXsDzPiTCPKzUVb5yTbrHg0wof/BplrwyjT+EretzCB8pu2LH0yytj6XuJULuPnAG6TCz1ZFi9u85GTTdDxBJLclLwPV1x4ShJ6crJxDTNHfPWk455YLGmhnYEXjj/iHktMCgB39kPXtPy/w0XKYTXPtzrPcYWBcATMQ48z7nBI4QzhxiOl+53n9iWJ236+/Q52Mrtybq5+uaErWWYJFRZPSowxKCWx5WskykWOOzqU6xxfK22cpBhRqqmkU+toa8vi0r0+Cjf+iXM9GY8J4R4/1wZ1KNNGlg/mxo3uXGMps7YWZSyBp5irhw8sTGBcQInJz1NM8V7gcRYnERA/xvM9DMaD3ds/T8Rtx7lXdTa5gxAdpVTrM5/5zGNc3rcXvvCFLwDw3fwcHxbXd0f82V9co90OkPdoT1/ZHqCrVf7up0+zP8x4a7PP1d0hubYsN51d+YmZOyXE97vOb6z3+JOv3OD0fA3zgA/6fpLz5St7dEYZnoRBqtkdZFQCRVaY0v3VkuYaT0nOLdaZq4X8widPEnmS3/nKDS5tDximjuDqKcEocynAjchjuRUxXw8RCLZLSbLbwiwLjYirO0O2+imRL8kL5wqbFYZRfn+xrhIuhTjV9g4iqDv7O4MnoV31WWk5PtCPLXTQxvLbVwP6SUGr6peE0PSuRm6eHHNfyi6QvfODQ43HQhLK+gK/NFIDF8g4Xw9olonVL52ZZbEW8aVNN/662YkptGGrn5AXlnrkIYUgKTRxpjFl8ajKNkw98JBSlG6ymkbkUQ09aoHHartypCM3yoqJ6ubUfI1PHZtnuxPzys0u1lqaFR8hoB/nXN8bEfqKc4sNF1aYFaXpW85qO+JTT87z1146eYca516Yfna8N/ggXWel7v/eeyzFiRAiAP428MbjON8jYNwVmbvt9rHP89p7uJYpvoMQ55q0cKOae6HiK4blh/pMLeATT8zxiSduf6s9GgptJ12XBwP4GDwAACAASURBVKER+Sw2Qi5vDximOdaKicW5QFAPPSLPGa71kpwb+yM85VQjFzb7NCKPH3l2mZt7Ma+td6kHTlnkvu1btnopgZKlC6jg+EwVr/QmubEX0676kzFPPfK4sN6nXxQTP5G78THG4x7XkZLEuZnIhm+XHgsezZNEAIWBUe68WFyB4Xozoa84M1fHU67DsDd0ScnOzRU8T+KV5FMpwNw29hn/Hoe6GpN1CkrvEVteH+dr4ilBN85ZblXwpKAwpnTRdaooT7lxjhVMLOQ95UZteRmYOEgLhIQk01ghSHND4BkW6uGRwgTc+3Grl1CPfFSZBLzaisgLw9XdIfujDCxUQ8XHTs3QTwu2+gmhp/CVoJ8bpBA8s9Lih55ZeujCZIop3g88SEp8v8AEBawAz+ISip8HfuTxLe2hsAWkwIduu/0ZIAG23+P1TPEdgrCUfqaFuWerOi0Mc/XgvmZUjwrfE2Ur3hJ4Dz5v5Cu6cUacGdpVn7Rw4YRSugKrFnilNFWijesOfOnSLr0458x83UmOfcXuIKWwlqZ2BUoj8hmmOfsjJw3VxqCkYKkZEniKWuBzdrHOyzc7XNkZIoU44LKUG7g2bvM1h8YVerLhC+bqIZ1RRj/RdxQy45EEpVPqkWPcvbtSGBgkOWnuxmvpgrtnN86IfA8pmYwyGpFL+lUSlHTE2bwsHg7zPsYYu7+CW5cjQLtOiyozh2aqIdXIozdypOJm5HFxa+BccoWTZo/Ny0JPkpQ5OS7PxuUMeVLiSyi0QJRKKFscXL9xQF+c38njF8Ld/qHVJrP1kP1hxlw95PR8jeWWy7zBunVVQ2cEt96NWe8mFIXBWMP3PzXPL37q1BGX2Smm+HbEgzonHR7chRVAD/gVa+3nH8uqHhLW2kII8S+AnxVC/KNSqeMDfwP4F1OlzhT3wmq7wlIz4uZezNnFO7Nxcm1I8oJnVpr3jat/VCw3XRrw7jBlpXV/hU+uDZvdBIB66E2kuZ50G2ChDYnWTgEjLPXQ58RsjdfWeszW/ck342rgsdKu8PZmn0bkk2nL/jAlLQzdOKc7ypmtOaXPkwsN3tzssdh0m9fJuSp7w4y3N/skhcaTzt8DXAox1pJqw7i8kzDhgYwyzWwtZJiNMGUFUjYg3JhFCJBOyTLurkicwuVAgnyg7HHcFzDmoJwRAqqBT+RLtvvOX2R/lGGxWCvwhSxdTw1FWQjZkndzGKrk4diSKCOVs+bPSuv/cSGpgJVWhLGUZmQpm72EuVqAkpJ66FHVmq1+RmFcUZOlBiFdR8lXgqQwaAsV30N5AokbI6WZoSgswmo6cc583ZmgOeOzgl6cM0gL5usBK62I19Z6NCs+vpJEvmL5tk5IPfQ4t9jgifk6652Ywtb5mY8enxYmU3xH4EHFyW9x7+KkAK7hTNg+X1rbvx/4DeDPgN8RQvxT3HjpOPA/vE/rmeI7AIEn+djJGTZ7CTf2Rqy0I7wy/GWUFVzbHXF6vsYzy483bbVdDXh6ucGfvLXNUjOaEA3HsNayP8rZ6MVc2xlxaXuARNCs+HhK0CsdW5V1XQCdWiq+YqkR0ar6eFKw3XeGXGudmGroFEdnF+tkWnNrP3GOptoyynRplJbzqSdn+Q8+dgJrLS/f7FAvHXHblYDnjjW5tD0olToH/IsxgbPqK5fDU0qXC2PR2DKl2FIKWyaqlGLMlDWm7EyA1QckW2PtJLdGW4sqWbXjDs34ko1dVp9ZabDZS9jqJ/jSkTdzbfGlG3FobQGFsQVGu4f2pMAKO+liHVY6Ccr8nnI9EjfWGWXa8UHKgEUpYbYekBeGZ1aaDNOC3WEGWOJcE6cFgSdRJanVGKfkybVTTCnPIyr5J3GuybRFCENuBDLOGKQ5o6xgq58S5wX9uKAaeKx3U4Rw3aFXbnY5MVudZD7dDbvDlLjQ/JVzC5yZBvRN8R2CB/mc/NJ7tI53jDKQ8EeA/xr4P3AGbD9mrf3a+7uyKb7d8eHjLZJc8+Uru7y92UfgjMICT/HkYo0ffXaZVvXxezk8f6zFW5t9Lm8PeWKhdkTmeXGrz7W9EXGmHS9GGyJfMUhzZioB7apHnB1Iez0lOD1fpVXx2RnkXNjosT1ISArN3igj8hXz9YDj7SrPrbZZaqa8vtalE+fM1XyMhROzVZ4/3ua5Yy1eX+shBEdCAufqIavtClv9ZDJSAgiELMmd5ShDKTzlQhEBBAJtXWDiMHVFlbEHacZSOH6LKNknsuRR5Nq6jgrOF8UemvN48qC4GKuOZmsBe8MUX0oWGgH1SLHeTTHWoLUtFUbOCddY9zhFaSNvDhVFnpJYXKjimBOjhPP9qPjuuaWF4a3NPrM1R4gujGFvmLHYiFhYDXlrsw8C5ushX7m6T64dWTko/U7qgTfpxAghaYSKTpxjSzl7Wmi0NcS5oBPnZLkhN66j0qz4fOLMLOdXmry92WezlzJICy5s9GhXAz56coblVgRAnBdc3hpyqzMi8CUvnZ7jxZPtdy3/aYopHje+K7J1rLVfAL7//V7HFN9ZEELwiSfmOLtY5+LWgM7IKVpWWhWeWKi9a4TB1XaFH/7QEr/32gZvbjiH15lawOXtAW9vDfCkcGqXAubrAXPVgK1BRly4jbXqK5qVgGFa0Kh4rLQqvLHeRxtDNfRYbVVRApaaEaNMc3MvZmeQ8fRyg1OzNbSxDFNdciBchk5USkrHSpTOMGe+4dr/Amc0VvEVqTDUAw8EJLmzPi+M65Ioz40uaoGHKvkV9dCj4ktu7Dm1jycFuTAcap7gSWhEHguNkOu7QwrtlDJCuG5LoJwvhx1rh3E8EiXcmrtxTq6dT0st8llpV1BCsN5NSHJD5EuscP41tcCjETmvkGFZ5Ekct0cJSHM3RpKUHRohiHNDWliakcJYQ5xp8sgZrrm1uMA+IQSn52pc2xvxN186xen5Gn/69g47/ZRKoGhEPqvtiK1+ylwtYKOXsDvMXEcmUIS+Qoqxcqdgq+uyeXwpaFR8nj/e4tljrbLDJ7ixP+TcYoPT8zXe3nRRCE8u1EkyzbW9EXnpZdKIFDf2Rvyrr9/ix59bfuA4cYopvh3wXVGcTDHFt4K5esjcO5zDG2O51YnZ7CVkhSOVjjJN5N9fJnx+uUnFV3zl6h5Xd0d848Y+b20OsNbSiHw3illqsNNP2eontCOf3WFKXm7qw8xl8cxUA97aHBDnBXO1gKVmheMzFS5vD0kytxlXA8X+MOPNjT4VT7FQD1lshlxY77HQcITKF044pf1iM+KJ+TpfvbrHbD0oxxGG5VZIqxKw1U9ICjPhvVR8NSlOUu02e680DvMVDDPNVj91XI6yY+ErSSPySXNDoTWFtaSFYW+Qkx3qZIAjEAsh8IQ7pyzHMKY0DbHWsjPI6Jf+L9ZCN1AI6UZhUsAwLRAWIk9RCxVJYTDluElbSgdbGGVmUpj4nuOfGGOdc7AQdGJnhGZxfJp+miNwo7pWmTET+sqNhiT8/EsnEQK+8PYujYqHkpK9Ycb2ICXLNe1agCddNybXllxrx9cRgHXjr7layOn5Kk8vNVluhsjSh2ZnkFIPfQpjeXa1ycmZKld3h3zsZJuXb3aZbwScX26y0HBS8TTXXN4e8rlXN/i57zlJJZgqdab49sa0OJliincAay0XNvq8eqvL1Z0RveQgf+e8cJyPL1/e5YUT7Xt2YE7N1Tg5W2W9m/C51zbYH+Ycn6lOugi+ksxWA7dxDzOqoUdhcvqJc4iNPMmN/RFJpmlXA1Za1UmYW6ENV3YGjkgrXBE1TAsE8Okn56iHHh8/Pcunn5zjo6dmjnyb/tipGa7uDPnq1T08KeilBbosCAptyfICK5y0Ncn1hB+S5m5NuTbkBvqJY7560vEuCl2QGTPxD/FkaXFvLAbDoFT/jKc41jJRII3PoY0j3+ZlmGCh4db+iKTQBEohSh7JxKCOAwO5TAOpk5BrYyZ5MdVA4itFpjOMgShwnYmiTGLOtUUJV8QU2kzUPN1RRqsacGymMuErjd8bSghOzdX46Y8c4/X1Pp1SIdWs+HRGOTvDjKQwzFQDlhohO4MMYy26fF1XWhGn52p89PQM9dtM/oRwXT9V8n/G0Qqu6xUgpOCl03NH3nehrzgzX+P6Xsyl7QHPHfvudyCd4jsb0+JkiikeEcZYvnhplz+7uM0o0yw2IlbaB+RWf2eDrDD8v6+sc3M/5kefW54QTG+HEILVdoW5WsCJ2SpPLTWOHJ+rh7x4ou0C3voprchnq59wer5GPfS4vD2ki0tO3h9l7I1SPCnojHK2BwlrXUuoJJXAI84KNnsJb270eXKhxs99zwl+8Pwi1eBgbYU2bPYSUm241YnpxTlRoIg8RSP02PMkvdgVYtY4Jcts1WehHrI3crb8nhLUfAXKcUvGHiBSSiq+64QY63xOhbRUPddtGKR6otoBJsTUyFdjE3j0/8/em8VYet5nfr/3/fazn9qrem+S3RQpUatpybIt2+OMZCiYiR04GUyQBUEwN7lKkIsEuUuQiwSYIBjkKoNcJAGMTAaTmYGTsSbyMpZt2Sa1UtybvVRvtZ/125f3zcX7ndPV3UWym2pS5Og8gASpqnjOV6cOz/t8//+zaLOeEZjMGIC8VCglUEIzTY3IN3AsbCkptUIjaDgSKSW+Y8r6lIasrHAtQdO1CTyLvKyolGkT1loZAiCNtqdUGguNUub/x3lJXjlcXGlypt+Yv36jOKdUmmGc8+NbI97em5AVFZYU8+ncqX4DMUqI85I7o8Q4gbQJ09MaAs9ite3SbZjp0oNDPVtKNjsetwemuG8Y5RxFOc9tdeZ/w5MIse9Y81LJBRb4uGNBThZY4DHx/ZtDvvP2AZ4jubzxsPvBEgLLsTjVavDDW0OkhG9+Zgu31nUUlWL7KCbKSjxHcnapYTJE3sWy3Gu49BouaVFRKsV3rx7S8hxatRPHpMeWjOKCtm+bjI06ej8rFKUywW26LuUTmMLCf/rDO7y8PeS5zQ4XVlrYUnD9MOTVuxMsIfjlp1fnWRmj2OSLrLe9eQpppTRxVkLdAePZkrWOx5legzvjhHBqQt4E0PYckqKiUtpcX6lwLKOvMJMMPdd/KO6FtimliYuSpmvPO22ysrYFa7OaAZDCkJ2yUoyTiklS0vQsWr5DVUGSl3QbFo26PygrjHYmLiqSwkxDNEYILLTGkvXhLgRSaEOuhKDCvIZFpXl6tcXljc7873ZnGPPyjQGeY/Hdq0dU6pDrhxFam1XWMMrpN80KSGvNrUHMXpRiSUG34dBruniWwHfMdQ+jnCiv+HLTfei9cXqpwY1BxGrLR0rBF872+drlVX5yZ/ye0f16nvu/wAIfbzwWORFCLAP/BfAiptfmP9Bav1x/7xeBV7TWH3WE/QILfGQYJwUvXRsgBe8rLGx5Nqf7DV69M+HyeofntjpcP4z41qs7vHp3wv7EZJhs9Xy2Oj5pUdQZHCefHp4tee3mmO3DGHfN4pm1JoM4N705umK56RLlJXvj1AhSLUmpjIDTloJOw6aJ4Oxyg0lS8M5+yPYg5ofbI84sBYRZxSQtuLjS5JnVFkIKAtdDoAlTY4vtNz2Wmh43h/E8EK1SiklS0G86fGqjy5nlBnrbdBctNTwjvLUkdmayOoxmRZDXpCQv1dwdIyQIdW96MiMSQhc0PYeGZ3I/JlVV25NNGV5WVhSVJle6tg6bvJQ1RzKOFUW9holyI2ItK0VgW8ZSDEyzEqhXQg+kJ8xWKJaU2FKTFQpHCuKi4lYdE397EPPOfojnSD57usdWL+AgTLm6H5opkYSkrCjDlF7g0vRsHFvQ8m1822KrH6Br/ctTqy0urbX4wc0RR2HGW3tTzi81CVyL3XHKtYMpR1HO86e6/MdfPU/TdegEtilD7Ph4dftw84FpXZSV+LbFZu3oWWCBjzMemZwIIc4C38d8hnwPuAS06+85wD8H/gdM7sgCC/xriXf2p+xNU55avRfcluQVB2Fmumk0XKaaF8N1fIe7o4TXd8Z0A5t/9PJNvndjgNImHE0rzdu7Ie/shbVlN2ep+bA4d5oWvH53wks3BlRKM4hzXt4eEqZlLQY1E4koM/ZjD0nDFVRVLSiVgryASlfcHiXzLJC1josjTRy7UmZy8erdCa/dndBvuFRKM4wzAsfm7FLDEB7XIs5LitKIR/JSMUoKPEeyM0k5jHLC1IhFXUfMXTVN1zI6CW00HHfHCUWpsC0xJxQAtlXrQ7hHUtJS4zsKiTymAREozNRoNhWatzNrmCQlb+fhPGelqMzv71hyPn1pehaOhEmmaDgSzxb1hEdhHdORmFh7PY+gX257XFxpstx0CfOScVpwuh/whbN9GjUpkJgpSNMzKzfPlnNx8jDOjTusLuYrK02v4XB2qcH5FWMvf26rw2t3J/iW5M4o4ShMuX4YUylNO7CplFljbfXurZUurja5sNLgzZ0pZ5fN6k9pQy5vDeN6SrbIOlng44/HmZz8fUwc/FcABxMdD0CdzPp/AP8OC3KywL/GeP3uxESQW0b4efUgZGeU1AekOUxPLZVYheCdO2OeWWux2vLYPorJS8UPbw6RQrDZ9eeH32rH563dCTeOIspK8exWh7bnsNR0cSxJnJW8cnvM23sTikpxcaXJZjcgygqmackgNhkfE1UR5+V8fZSXtVhSUD+XJi8UkSjZ6gdkhSLKSrZ6AVf2Yjq+ixaaNC9rHYehBtPUBKvdGSWstT12xgm3RylZXpmckjogbRQXPL1u4VsWgygjV5ooLekELmAmEDOXSFaX2CkNos4cqbPW7isLnEHX1xHllRGyynvf0MymG/WXtJ7H6JuaAIlvm2RWramdRBLflmgNmTICWYRFx7fQWpNWClVV83bnSmsqTO5Jr+FwYaWJ51j85nPrHIY547jg/ErzWPS9mej4rhEN9xsuYVbQC1zyShGOSpKiQoiKtZbP81stziy17tOKNFybpmfx5aeW2ej6fOetA6K84vmtDqstjzd2p9wexlzeuKdT8myLb3x6E4Hg2mHI9wYxgyhHCMHljTZffXplnvC7wAIfZzwOOfkK8D9qrcf1eudBXAH+3pO5rAUW+PghLxWT1GgZikrxkztjbg/iOujMnyd0utaYSmmuHYQkecml9TbTqGB3nFJUpvHXkhJdr0vGSU5emdXIHeAwMnfZa22fU/2AUZRz9SAEYRJbl4+JT0uliPOKqirMY2oTsV4o071TVmregJtXZkohpCAvzGql0sYWa4LdCqSAlueQ24phYtZMHd/GsSRHYcr+NCFMStLKHMClrsWiddfP1b2Qz53pc3apwd4kY5SUND2nTpdlvkY5inPj1MEErUEdrlYnqT4Ix2I+RqmUplCGhEhhBK1g1kOFMgJYq17O2HU6K8LkrpSVwrFFvUIxE6VpWtYR9+YJuoGDW1S1xkfPiwAdRxLYhmCVlWJnGPPdq4e8uTvlRzdH/Pi2aUluujan+gGn+w3W2h7v7If4jmR3kjKMCzq+TT9wKQqFVWt1DsKCje7DQlYhDJF6fqvLJCm5M07pNdx5o/JJvVArLY/f/dIZfv/Hd7gzTFlr+3QDB6U0L98YcGap8VCa7DQtmKQlUkC/4S5KARf4meNxyImFiax/N5wFDn+6y1lggY8vdH2bLhBcPwi5PYjpvcsHuSUFy02Pu+MUq9ZFxEVJWRknSaUUe9OMQZRTVQrbkjQ9h7PLDZ5Z63DzKOIgzLg1jImzitWOy2orYH9ivhZlJVIIXFvS802ZX1LvQvLy3hRCA9rSJJlGWpK2Z9YBaalouObEn6QlldYkeUnDtRjEGXlprMdFpYjSos7XME4WxKzF18S1zsS8WsMwzgmzkk7gsNxwuD1KuDOKsC3juHHriNe4qOZk4zgVUfrhIkAL6tfM/Faz3xPMtWit544agQBhphzzvp+6FXgWST9JSuMYKo0Go1CGqHmWEep6lqTh2jRcm6KqzOsgzNTEsSyirOLqQcTbKuTGwPx9DkNDKKWEQZRzZ5Tw9l7I02tN1jseb+1OOQpzzvQD2r7DNC1BwFbPY63lczDNeP3uhC+e62PXhCMrKywh5hkqn9psm2ThwxCtzApn5tB5EFLAICrmayIwTqLrhxF3RwlnlswqaH+a8uNbI97aDeu2a1hqujy/1eWF092HdCsLLPBR4XHeed8F/g7wDx78hhBiBfhPgD9+Qte1wAJPFFFmbLRghKwfJITKtSSBa3Ewzbg7TvEc6z3vMF3bkIGdScrTq02Wmx7X9iPKqmJvmnEYZvi2Rct1SfIKKY1G5em1FmeXGnWxXM533zkksC2kkBzFObYQtHzHTESAbsMjrxTDuKA8drLPCIqsczF0Pb0wPTKKojIai7w0E4JKqVq3YTQQM8dMqTWqqOYFfNS6jqIyIg/zc4ZUpEXF7iSl6Rl7rqwTVgMEriVrwnMshOSBIcnsWzOdyGy6AoYYFHU+yUxfopTpCKq0yUiRxpX7wMPqua7DqoW4jmXIVJyb1mAtRN3UbGL2tTIkNK07b1xbstJ0cR2LYWzi5otScTDJsCxB07NYarp1ZL8JpRtGGa/cLvnMVofAtfHsAseS5JXidD/Ady0C18KxLZabLodRxkF4rxByd5yy2vZ4qi6m7DVcfucLp2oHEJxfbr5rvUKpNHml5iu+2fuxiBVFHTRzaxDzB6/ucPPIkOx+w0Upzf4k4+Zgh+2jiG++sEnbf/IVDgss8H54HHLyXwI/EEL8PvC/1l97QQhxCfivgBbwXz/h61tggTlmu/zHgVKa720P+f72gKMoR2CyQ37hfJ8vnO0/VuOwEIJnN9q8fGPAJCkeqd216dncGSVYG21+4/Iar90Zc/UgJKsnKK5lVgRJWRE4ktN1ZoZjmUbbpF6/7E1S7o5TiqKi0XDnxMS8LoryBIfozAGjtMCRJrisKE1+x6ypt+377IwTylJDHWCW5sqU70lBXpqI+QeJRKVB6ONlfbXGQ8ONo5DDaUoFNOr4+nFSEhUVloS8qqAWsPLwQ8+JySyQzYhZNU1PkJWmbJAZedLcW73Mrqv+Z6g7gjRGB3LcYqu0cfrMRL1lbWBebnqkZUWUlyS5mRQ1PYv1ToBjCXbrSPnlpktSd+3YQtZ1AwrfNqLfpmvPM0heuTvGkRaXNzp84awJ5Wu4NtcOQ97emzJKcjq+Q1VpDqYZq22PnVGKBl68sHRfRk7bd3jhdO9933e+Y3FxpclfvHNIyzNruVvDmFO9gI2uT1pUfPuNPW4PEi5ttO8LkesEDnFe8uqdMW3f5psvbL3v8y2wwJPGI5MTrfUVIcTXgX8I/N/1l/8+5nPgHeC3tNbXn/wlLvDzCq01O+OUt/emvLMfUlQK15I8s97mmfUWGx3/fcnFj26P+MM39hDAZidAo9mbZHz79T0cSz7SB/1xPLPeJnAs7uTVfPz+Xpg1+K62Pb7y1DIvXV/hH//gFkWpEQ2n1oWYzpmnV9qsd3zKSvHW3pQ7dVBXlBs3TF4qAsdkmMxEuUprBlFOVgeLzSYHQjBPbi0qTWYiz4zTxTKEpuf5NBxJmFYgNK5lbLqqdqTk9RhjVtb3IIl4t/8ta5ttVl9vvxHQ8hzCWsCrlL5vwjOb7lQabFHbiTHumuNwLFHHyev7/lnHEvNAtpk4dzb1kWJmWa6L/KSYT2Rsy+hHispYmg+mGb2GITO+Y/JivEKx3HSxpWQY52SlYqXlUtaFgq4tEVrjWBZpaS7YsyUCgSMlncBmZ5wSOBa/8swKq+17Nt6nVpqgNTcHpv5gmpo2bMeSrLY9XrywxBfP9t/3PfZu+PLFZUZJwY2jiKrSbHUDfqMO3Xv1zphbg5hzy837iMkMDddmpeVxZS9chLYt8DPBYy0UtdbfFUJ8DvgF4AVq5yHwktY6/RCub4GfU+Sl4jtvH/Dj2yOGUW5yISzJqCq4fhTx8g2Xz5/p8SuXVk8UBc4e44c3hyiluXjM+nthxebKvhExPrfZeSSSMcNq2+PCSpPX7o6J8/K+dNUHUSrTgdINbLa6AbYl+RufWudHt4YcRjlRZg7qhmdzqhfw/OkuvmPx+o6ZrjRdm82OOdjf3DGi1bzSBBrivEAISZgVhKnJ6ND1CmTmWslLjWcLc/ArQGtSSnwk7ZZHx7cZJgUITcuza3ut0b8orcnLe8V4M1fMo0Ai8Bxj17WEoFAapRVb3YCsZVp9RV1iWJRqPgGZkR9VExfBvUA2IQRZoR7q3tGYpNgThjsoDa4w4uC6w8+IXo0sBQEEroVdmT4kKQQrdW2AZ5uskINpii0leVUxTUuCepWXFhWuLc36S2vagUNLO4zinElSzJ1YZf3L2FKw1b8/X0RKyTPrHTa6AfvTjCt7U86vNPnmZzZ5Zr3NUtN9xFf8ZPSbLr/7xdPcHiaUSrHZDeYakhlhea/15nLL48relFvD+Ke6jgUW+CB4bLWT1rrA6E++++QvZ4EFzLThT97a5y+vHtINXJ7d7NyXkKm0Zn+a8Z0rhygNv/Hs2olV8MM4ZxgVJ5b6LTc9DsKsjhuHw9DcHXYDh1O94D2r5b/81DLf2x4wigvTzFu7WR78HQ6mGcstl8CxWKsbfm8NYy6utnhu0+K1nQnTOg9kkhT8q7f26foOB2E217cIIejUnSxRXhoxa21NjQqTcaIxh59r3+uRQQh0pUlLfd+hnVcQOGY04VqCZtvnYJJRKROfnlcauw4yO97OWz0qM8Ek4KI1tjBuIN8yhXe745RKGYJhSxBohAVSGyJxPKdE6VkB3r01zzQtTiRIsyGMnv/X/XBtgdKGpJm1oEBLQyqmqXEkSQSF1hyG2bzfaGZ1jouSKDO26U7gkOSV0ZcIOIpMlL8lYK3r0wtsJmltEwYCx8GrSwS3D2MubzwsYG37Dq4lqZTid75w+rGnee8F25JzQexxpMW9LJ53w2yFWpQPSpQXWODDx0KKvcDHDtcOUiTx7AAAIABJREFUQn5wc8hy8+S2YFknYVpC8P3tARdWm/eFos1gSTEva3sQpVIkRcW3Xttlb5IxSczB1/JM2NiLF5bum7Ycx8UVU9j39l7IJMk5nKa4tpzfheZ9I9o81fNZaro0PHsuahwnBXFecWuYoLRmpeWZQK6kIMwM+VBK0w0coryiF9h0ApeGY9MJTNeKJaHTcNhwfLJiQsO1cW3BJCkJs4LsWEYJ3H9eW0DLt3EswWY3wHMkr9waEmUmy0RryMoH/tnHICZgJlbUr0elNDeH8Xx1YvJIzKRGISArKbVGSrCExKl7eEw8vSEmbd+mF5gwu/fDjFLe08JoXNtCVMyTX6uqwrIkQgijtcG8p1wpyQrFm7sm+Mx1LJK8xJIOni0oSvP6LLVcNrsBYVpyFOZmQmNbCARNz6F5rKgvyko82yYuCnbGKWeWGg9N2yqluX4UcXapceL7+MNA07Xfl3QUlUIIUxpYvOdPLrDAk8fjJMQOHuXntNZLH/xyFlgA3tiZEGcV55beO8lyte3x+k7KWzuTEz/Ul5suZ/oNXrk9otdw53eCldJsH0UUlZlCrLV9nl5rI4QhD6/fnbA3TfnG85v3BVyBcTj80Rt73Bom7E5SGo6F0pqiUnjaYr3tYkuTmXF3lPLK7TEXVhq8dG3As5tt8rLiIExJczNxuTtOibMS37FYb3vsTzMKjKBxFGfsjhOCOlk1Kyo8x6LXcDm/3OTmUURWKhyrolQSKQWebRJUj+syJODVqWWV0iRFhZdZXN2fIqWci0NBIKWer1U+KMwUxKS55trkj9hS4NiSrKzQApJC49qCpm8bYlRppND0AgeFYBTlFErjO5KVloctzTVKDJGRwoS/ndQjI8UxK7WGvJitjjRFZbqPqFdBtiVAGx1KXlW0A5sy0wyTAreoCGwL1xLYtnEenV1u0PJsZO3umTmVmt7D65FKaSZpYUSo0qMV2GwfxTRc4+yRQjBJCwZRzul+wG9+av0js+5eXG3x/e0hYVa+aynlYZix3PI4v9zg1e2P5LIWWGCOx/k34RVOvocSwC8D3wZeehIXtcDPL8ax0ZQsP+K+fanpcfUgYpoWD1kehRD84oVl9qcZb+5O6DVc0DCMM+KsounZXF7v3OcA6jdMMdvVg5A/fWufM0vB/E53Z5zwey/d5LU7YyqtcS0jknQtSdOzTW9MXvH8urHk3jiKEEJw7TDmf/ur6zy30WWaFQzCgpWWy94kI85K2r4zX1t5tkUS5wzrwxlh4vF9xyItlSEjtmD7KOL2KKGsFGVlUarK5JBUxmkzO7htCYFjz4PD4tzoXA6mCbvTlIYr8W3L9PPw3sTkwanEe/1cpWBa55E0a53GNC+NNVhBUVUkRVWn14p583BWaRzL3K2vBw6WNOLMUik828KyzGTJFAoarc1MUDtbBYlaU2JJQcO1KJQ2IXOzlZHQ2FLiSmlEsY5VW6MVWVGx0fFo+S1GcY5nW7Q8G60VqSXp1O+xvFSMk5y1jodAcBTmtDybwDHFgnFu8lFW2x6XN9rcHsX80lMrBK7Fa3cnDKIcrTUN1+ZXL63y2dM9Nj7CzpsLK03OrzR4c3fKU6uth1JjJ0nBOCn41WdWzb83CyzwEeNx3Dq/9m7fE0L8XeC/Af6jn/6SFvh5RlZWFKV+17u5B+Hbcu4MaZ/w/bPLDX7786f48a0R148iANa7Hd7em3Kq93BSJpi78jP9BjfrMreZBuBf/GSXv3znENuW8zySw2nKUZwziHLSwuRtVKtm/N8JHC7Wbb/7YUaclwyiglGc06j7aRr1XfgMnm20B2FmsjWEEJTaxK4HjmQUF4yjgo7n0HAspvWUpqgMIZLSaE1mKxEpTJGdscWan8lrAlPUAtjCMeJXYC4sterHPR7W+qjbHVX/cFWa6PygaRNlRtA7f7yaPJW6bhTWYNv1WqfuCRLCfP9U30coM9VSSjNOCgplVg6zCcmMnEhppisaUWtlDJFJqfAdSeDaIMzExBZm9WRLk2fiWDZxXmJJ45aRwmg21tseRaV5fWfC3XEy1650AoeLqy2arsX2IOJgmjNMjF3ddyyeWW9xbrmJ7xj3Tr/p8oWzxsI+iHKU1rR9Zx6y9lHCtSV/8/kNKmX6onzHpuPbaA2DOEcKwRfP9fnlZ1Y+8mtbYAF4QpoTrfXvCSF+G/ifgd99Eo+5wM8npLx3qDwKlDZj+uO5Hw9iqxew1QuMFgL4/vaQK3vhex4Kfp1IujNKeeE0XN0P+eM399DAVjeYE4pT/SarHZ9hHTGf1e4T2xJ8arNjEkuBhmMxSUsurjS4cRRye5jgWMZuehxlpepOGEWpNZYwce/jqjAJpMLkaSy3XHzXYm+aEmZGESBq6euMAMwyQERpVigAjjSTAqUhVGby8GBAiqZ2tTyG1uSeG+bec89cOGlREeXF3JKsj/28lKb3x5KCtFBEWYGsQ+aGsXFp7U8y8zrU2pTllstoLkQVuJZxBOn6ib06Y8QSAt+ReLVYWWuN50iWm95cJJwWFWmh6AUucVHRcI1LJ8kr2r7DMM6olMvf+twmri1RyjhzGq7FSsubC6F7DZdpWpDU/ueWZ88nbruTlOWWWcXN3ltbvfdutP4osNb2+e0vnOL1uxNevTM2ri8Bz260eW6rw7MbnftC3BZY4KPEk1xw/gAT1LbAAh8Y3cBhuelye5jQf4Rx8iDKOb9i3BXvh9kHrRFmvv/Ja0lBUe85/vr6EfuTlAvLjfsmHQCuZdEJXLqBOaCUypGWnBOT2XMXlWKtE9BvuGwfRQ+tofJSkZQKKSSure/Zd7VJ+wToNp16nVSAhjSv5lZZ0MwGQbPD1xAUha5L77qBg2tLstJkq+S1PsV8TWEJPXfOPA5mwtnZ885yS0xcfMFMYzt7WGuWx6IFpdJkZTnPJ5FowrTAc+y53bhZB89NU7Mq2exZWNIktXquRMxKDqWg5UqklKR5Raftsdn1kHWHjmNJptm9Fg7Plqw3XZaaLlf2QyZJOV8PrXd8pklJ2YHnt7ocTHNevTN+V9Fq23ce+pvqOofmq08t/9TW4A8DHd/hyxeX+eK5PnFWISS0XPs93WoLLPBR4ImQEyHEEvA7wORJPN4CP79wLMnzp7pcO4jIS/Wed25ZaartP32q+1hZJS3frgPJ1LtmpCitKZVxmPzBKzv8sx/eYZyUbA8SekFFr+HelxFhCZPoKoWYH7LHkZcKx5bYFjy92iJKzYpHiBxHSqq6xM6zJIkUuLZlivUqXZfZmX6Zlmtzqt/gzFLAd64c3EciZsfJgxHuStcajFqQ4dkWUZ7Pp1OeLXEsUQewPZ4556QjzK4jWmf8TwhhwtW41z48G4xVWvOgmUphguMatVFrlBRYluSZ1RY/2ZlwGGa4lmV+R23mMA3XkL+8VMS5otLK6GkciyhXFKVis+vj2tZ8AiKlSXK1peDuOCEpKorKlAeOE8E0LagUfPmiw2rb59Onulw7CNkdp4+sD7k1TFhuujy31aFSmluDmP1phtaaftNMU57EdMJoYAo0xun1uM3DjiXpNhZTkgU+Pngct84P3uVbTeAc4AL//ZO4qAV+vnF5o81PVptcPQh5eq11IoHIS8W1g5Cn19pcWj9JbfLuuLDSZLXtszdJ53HxD2IQ5mgNr9+dMIxzKmV0EGmh2CszplnBVq8x18a4tqTt2xyGmdE/KI2qCYexLZecXmoTphWnlxqcXW7wL1/bIy0qhIC+79BtuBxFGWlZUVRmhTGbhhi3EWSlYr3jmUbh0mgWKqUoFSil5poRu46+n08qpKDhGPtoSDlfe0gpOLcUcHuYmBRVYUiMVnoegHYcDwadzYZIx7dwQkCp7v2cLWdZJBKUic+nJiVCciIb0toIgbXS2LbFOC5Yajr0ApujqCCtKjSGYLRcG8c2hYBpoai0ZqPjcX65RaU1V/anKKVZ73gcRQW9wLkvWXgQZQyjnLZrYwmjP2l5NpaUTNNi7nR6dqPNwVPL/Onbh9wdJWx23z2hWGlDRKQU/OolI4T9x9+7xfZRxDQzLci+IznVC/jVS6vvalt/P4SZiZl/7e7YTNMw07Hntzp8+lR3LuBdYIFPGh5ncrLEyTdVKfDnwP/Fvc6dBRb4wOj4Dr/16Q3+xU92eHtvSjdwjJ3UMlkTh6EhBxdXW3zj0xuPLJ6doRs4fO5Mlz96Y5+9Scpa27vvkBnGOTvjhKyssKXg8kabYZSTVya0q+1ZhHnF7jjhwkprLqptuBaNOjhNCLgzTGh6xgmz2vLo+I4Z8T+9zPmVJvuTjKSoGCcm5TUtKvLSiFW11kSZMv07UtB0LaK8ohvYXFhp8YPtAYVStDybtKwI6pj2rFRorUyAWq0B8Sxo+Y6JpC+N7kIKQSEUgWvRb3rkdUnwMMoRQiMss26ZEQ0wxMS1agFu/bUZKZlpSODhlVAxG5cIfeznBNLiXgngA1AYAmpJgSoqxpXmzjAhLzUNx2Kp5eLZxnlk28ZmHWWmxXej49FtuISZaR/eqhNYbUsSOBbT1LQmm+vXjOpD3bYloqw4s9Rgre0jBGwfRRyFOeOkoBs4fPXpVWwp+ctrR7y+M6HfcFlpefPpR1ZWHExNbs5K2+NXL61yYbnBP/3RXa4dRJzqBZzuNxBCEGYl1w8jwqzib39ua94U/KgYxTn/7ys7vLk7xXcs+nUJ4OE04w9+sss7+yH/5gtbH8t10gILvB8ex61z/kO8jgUWuA+b3YDf/vxpXrk9Mi6JUUKpTOfLctPlK08t88Lp7ge2OX754jJZqfjBtnn8lmcjhCDKChqezemlgN1xxrnlJp4j6QRGoKl9hzAtcG1JnFdM04KO7xBmJVmhOLfcoOXlWNK4ZPanpqG3VJpSaV68sMTXLq3Vwk6PH90a4tumnTYvK5quRZxbWJ6k4ZjnSEsjKnl6tcVS06HpWWSlwrUsHFuQlWYyYjIyShzLiHnDTIGCwDOpt2WlmWYlRVkxygpsabJR9iYpEsF6xze6l7yqp1WqJif3CMSsSE9yb7JSc4257uT4lsaeaUsE8/WNrEsF9fsIW7Q20fTCgrIoGcWClZZHnJd0A3cuWj7Tb5CVFdcOInzH4pefWaWsNKOkwK5dNaUeczDNeGq1xbXDiDJSc33ITMQc1nb01bYhG9O0YKnp4jlmctMNHCwp+MpTy5zuN3hrb8Kbu1O2j6L5a+RYkpW2y4vnl7i82WazG/AX7xyaKd9q+74VTsuzeWa9zZs7E76/PXwscqK15o/e2OeN3QkXV1r3tWP3Gi5ZUfH23pQ/fH2Pf/uLpx+7MHOBBX7WeJy1zv8E/O9a63db7yywwBPFUtPl1y6v8aXzS+yO07lGZLPr/9RhVbYl+fXLazyz1uatvQm3hglozcapDpc2Otw4NNqC2Yf+ZjdgZ5zS8SUDCVFWEWYlO+OEtDCZKRdWm2SlounZaK25tN5iGBnRpm2Z5trllktaVFw/ipgkpgjvbmr0DlobV48hKIpJWuLZkvPLDV68sMxvPLvK77+yw+t3J6RlSakUeWqmEWluenAcS9ALXMK8oKwkWS14PZhmOPXkaZIUCClwbONyuj2I8WwL25ZYUmJbJktFIe9L19UYgqEfGKAe15Ach8Toe7JKkxeV6eippzmlvj8Sf7YuOp6lMhPWllXtHsIc/uaH9Hx9tdLymaYFrp0QOBbXDyJsWxJlJWhMnkxaMqoUX7u8iu9abB9G3B7GJEXFMMqxLclG12ej4+PZFhpNmJWsdz1anm3C2mbXWoexnV1u8OL5Ze6Mkrlg2a+bpWfTvLxUvHZ3TKt2ED30GgnBatvn+mHEYZg9UtM1wO1hwrWDiI1OcB8xmcFzLE71Glw/DLk1iE+MsF9ggY8zHucT/j8EXse4chb4hCEtTChUUZnemvW2z8XV5okfbB83tDybp9eefKy3lPcOmQdxc2AyUbKyYpqUOJZZF9wZpWx0fCqluT1MONUPuLjSouPbvHMYEqUliWOyMi6smA4dBKSF4mCa8Qc/2eGvrh0xSUpcS/Irz6zwJ28dEGWmDTjMS5abHk3PaFU+c6rH737xNLYleWc/YmeU8ObOhFFcEBcVoBHCWHF92whpk7LCkZLLmx1T6Fco9qYZWWFWRxqBb0s2Oya+fn+akZeKhmfPs03KStPxHbKipEjKOR15HLGsY0sqZfJZPEtQKeq+Gn1fvD7cW0Edh6a2lNfExJaCMC/JC1WHqun5Oi7MCgLHotSaa4cRF1darLU9pJCUSpkOpUrzg+0RnzvTY8dOERhy5tmSvNKommBoDJnrBA6utNjs+ax3ThbAdhsO3ca76zrSsiLOKxrvQaabnsVBaIIBecS3+a1BzDgt2OydfF1Ka3xbcjMpuLkgJwt8AvE45OSfAV8D/pcP6VoW+JCwO0751ms7OKFJpfyr1/fwHIvzKw2+8fwmq+1Hu1v7ecJy02OSlPzFO4ekhdE+9AKHja7HUZgb940lWWq6FEqxPYgJk5Juw6HhGgusOCZGbHmSlmdTVoq/un7E3WHC1y6vkuRGV/KprQ5pYfQKq22X5zZ7VNo8x82jmCsHIXmpuLjSZHecMkqMLdYCk5OqNYFr0w1cXFtwcbmJ61h86Xyf33x2nW+/scfv/+gOb++FWFaFQBDlJQdTM4HRQmBLafQmmMMtKUp8S2JL5hoTeHSC4lgmm0RrU17oWpIoLxmnBUWp5tqTUt1LeYX7SUqlzAqoUpqoKInyEhAchjnJkvm73B7GtHybU12Lt/amNDxJy7eRwkwq8lLhO5J2EHAYpnz7tV20gI2ej2/bJHnF9cOQnUlGXCj6gUPgWbQ8i42ez5fOLX3gtYhrSRxLktRpuSchLxWOlI/l2skqhYSHbO1Fpdgdp9wdJ8R5xeE0o+M7nF1qLAjKAp8oPI537D8Hzggh/oEQ4snVZi7woSLJK7712g5X90M8W9JwbZ7b6rLZ9Xlrd8q3XtshK9/9g/PnFesdj3FScGeU0PZtPFuyO0lp+w5fONvHd0w/ylYv4OJK0wgj2x6fO9N/6MA4DtuSbHR8kqLi7b2Qu+ME2xK0PYfVls9Ky2Ol5XOqH7De8Xjl1og/vXJAL3C5vNHBq6PoL6426DUclLh3qI/iEkfCpzY7dQePacT947f2+fMrh1Ras9zyWGq4c2FomBl9iRCCvDLTiI7vsNbxcSzJJCvn65UHjTXvdVy7lqDj21iWoKoUUV4xqXNGmq5dP6ak6ZrY+tmaZ0ZMLAGuBK2os1igqsykpN9w6ARmdZaVFUdRxnLTZavvI2v79SjOmSQFtwYxV/anxPWk5SjKOYhyHEsyjIq5O8rYbyWjOCctFesdn+e3unzj+Q0+tflwk/CjwncsLq21GCX5fDX1IPanGVv9YN5c/SjwLImC+x4zLxWv3hnz49sjDiYZZaXIK8WV/Sn/5Ae3+f72I9WjLbDAxwKPMzn5h0AA/KfA3xNCxCf8jNZaLz+RK1vgieDqQcj2YcyFlRZysj//esO1ObfUZPsw5vphxLMnVLn/PGOUFPSaDlqYEK2WZyOAG4cRLGMmEp9a55n1NtcOIrYHt3hqtfVId9hNz6bfcDmYZgSuRNbHvNJGHzITau6OU/anGWeXGvRrx8UsQXa9HbDeCbg9iBklBVFmLMlhVjKMcvpNhygr+bMrh/zk1oidSTrvkEkKRVYYV5AlBY4UeI6FZ0sCx547jmhClJZG0ApYEvJjzp2TMPu670jOLTc4mObsT1MqpUAKJmk1D3kr6we2xD39iT72OFoYca3UxnIcFxWu0sS1tVwIgW+ZxNdhXOBYgpZnc365gWNLkqIiyUsCx+JUL8B3jNW71Ipew2W16TKpSwdbvmmO3p9mfO3SCl99eoXT/cZDa8/9ScqNo5i0ToJtehYXVlrv6Yh57lSXN3enXD0IOb/cnFvjK6W5M0pouBafPd19rOCzs8sNeoHDKC7mz339MOTmIKbfMGLhpKhYabp87kyPOKv4ztuHrLb8E9eYCyzwccPjkJNlIAS+8yFdywIfAvYmRkh6krak6dmkRcXeJOPZjZ/BxX2M4ViStZbPZsfnKMo5CnPiomLJdfnS+T6fP9vnXB1H/vrOmLxQjyzSXW66tAOHK3vTef9NnJcUStNvOKx1XJRSXD2IcCzJevde1HnLswlsizArTTvxSousLLl5FLPc8mj7DrYErc1BHaYJk6yk4dpmDSQF3UBw4yg2fUS+ReA4rLU9Q1rKijg37pq0VNiWaaqRdc+NqGPi5xH03C9kFZjofs+W3BmmBK5F23fqyYVAYOzJjhRIaazEQkhsqeaW5RlmxYW9hoPWJiTOtS0TnuZZBI6Z+JzqB+xNUsLU6E4+d7ZPN3C4dhgS5yXr7WDunnKkxHFNJsrqps+nO/6siaf+W044v9Li6bX7s3NuHsX88NaQawcRgyif/9ZCmDj9S2ttvnCuf6I25VQv4Ouf3uCP3tjj6kE4b1QuKs1Ky+WrT6/w3GNOZ071Ai6sNPnhreGcdN4dGwLqOxZFZXQ2p3oBy02P5Sa8sTvhzd3Jgpws8InA41iJf/3DvJAFFvg44Uy/wdnlgDd2pqy1jYNjrePxN5/f4Ncvr81/LsxKbg+S+WTjJFRKcxRlRFnJKCoYJDl744RRnJMUxpB7aygIHEleBbx+Z4LvWNwZJlxYadI7JrhseDZnlhpc2Z+yP0lxbElaVGz1G3z2dA9Lwh+/uc85W2JbHruTDM82q5PAtZgkBd3A4/RSgzvDGFVHvi81TY7MzEGkgYaA1LFwLBPNfjDNULN4e8yqZ2Yjdizj7Kk0BLZEacEkLfAck8hqS4FtScKsZJqWNDyrjqbX2Da4mOZhk4liwuvQmk5g1l2+a5EVijgvUFoQF+a5bGHEu5XS5JVms2s0N5YUxFmJVYuFAcK0pB3YJva/MG6rNW2KBA/DnGmaE2aVIVzHxLav353wh2/ssT9JWW37XFpvzx+zVIrDMOcv3jnk5iDm689vnKjtuLTeZr3tc2V/yu1Rglaa9Y7P0+st1tqP30YshOA3P7VOVine3JkQ58Z11PFtjsKMQpmwvk9tdea/R8d3uHYYzdNxF1jg44z3JCdCiLPAodb6pBXOAp8ArNfagbSoePAjMMpKfMdivfPJF8TmpeL6YcTV/SnjWttwuh9wab39gUKoXFvyW5/epN9wuXEY0284vHCmxxfO9h963kIpPOvhyZTWmrvjlO3DiL1JykGUEaUleaXmU4eGayYARWWaeQ8nGUfTDMeSeLbgqbXWQxqW8ytN0qLi1tDYmNc7PpfX2/SbLkdhVseua+4MY4rKxJkfhhkNzPQkzEzhX8O1CVMjMh3GGb2GS8s3a52kqEwuSlqQK2GyXnyHvFJEuXF9zZqPHSlq8atAaAhcm7RUeLaJj5dYTNKClZaHJWCaFjRdF8cWZrVlW7QD01ystSYtja266Vpsdn2yShvCVBt3BBAlBVlRoWzJMMpZarr0AofT/QbbRzEXlptYUs41GXFeEmYlF1aaRFnJtf2IUimu7E3ZHsRM05JJarJM/uraEVprfuWZVW4OYv7wjV1Gccmzm52H/ha2NBqilZbL1f2Qf/naLv/W50+dOEHpNhy+dH6JLz32u/FkdBsOf/uzWzy10uRP3trnyt6UUmnagc1W15RdHp+YmmqFOrn4PRVDCyzws8f7TU6uA/8+8HsfwbUs8CHgqdUW51YaXN0P+ayj5x+ucV6yPYi4vNHmwidcxb8zTvj263vcHMTkhcJ1JJXS/PjWkJfaHl86v8QvXlh+bMfFcsvjmy9skRbV/M7/QVhCIBEnih1vDmLe3J0yiHKSvKzts5qiUqi6rM+2BZaw0JJ5cZ1tma6bSmne2p0ihZgfdtO04I2dCUdRTlEp0IZA3B7GZKXJTzkKc97aDdHaBL8t1WWB08wc6EWlqbRinJhrkrVWxbWN7gSYp/JOkoKkzFlv+0CGALqVyzguyEqj1/BsyVLLA63JSk2SG7uwlLJOhDV9Q0leMY4LhBCc6QdcXG3x41sjxmlOWlQkeVX33kDLswgci0lqUl9nThZdH679poclczxb8vlzfVZbHlcPpnzubJcwrbh2GDFNCqK85MZRSNt3OLfc4LmtDtcOIsKs5NYgZmeUYlumY+fSepvntzrEecWfv3NIJ3B4Zz/kYJpxeeNhYnIctpQ8tdbird0pP7o14uvPfzR70qZn84sXlznVDyiVabE+1Q+w5cPv1WlacGGl+Vg9VAss8LPC+5GTBb3+hCNwLb7x/CbfYofsYAetNW/eHeM5Fpc32nz9+Y3HLgn7OGF/mvL7P77LzUHM2aXmfVH2pTK2yj9+Yx80/NLTKx/oOU7S60zSwjQCVxrHFkzTiuNK8Eprrh6GTNKCvKyY/asU56b9xpZQVBVKSaP1qBRlpUEbfZAlBY4lGSc5r90dI6UZy//kjkk67TVclpsWWpvU1x/dHiEA3zZi1kopbCmZJsY+jjBFdpPU5Ktobey7jmWSZQdRQVoo+k2Xrm+TlYqrB1MmaUk/sOe6pTAr6foOXd9Bo4nqiPhe4NBvuviO5K+vD5gkBXkpyEqjY5mmJWFakFUmf6PSmu1BxErbw3clu5MM11ZzXcxG12N/mtNz5X3vT8eSxHlpdCL1OulUb6bJEfQaHl9/folrBxFX9qf89fUjdkYp/abLasvlxkFE4Fj8e794ju9vDxEINrs+ncCZTxm7AbyzH/JnVw5Ic8V6J3hPYjKDLY21/K3dCS+eX3rPVd+Txul+g8+c6vLS9cGJgXjDKMe15U/lPFpggY8ST6SVeIGPNza6Pn/nF87yp9/Zpqg0f+Pc+icqhO298L3rA7aPYi6ttx8qCLSlSeu8M0x46frgA+/3Z1BKc+Mo4s2dCVcPIrJawbk/TTmYprQ8e75CykvFIMpJ85JSaXxHchgWKK1xrVkPC2SlRqkSBGYCgyDKK6M+9VhnAAAgAElEQVTnEIKlzPwz378xRCnN9UMT0Z6Vphm57dlUlSZKjVvnVD8gzE0IXCuwSWpXySDMqJRmqeHWrcQlvqOMIBVD5MaJmhMc1xZc2Y/IigqEze1hSqkUSoMjTUeNQNSW3Jxew+HSepuVlscoznlzZ4plGUKU5CVZWeE5FstNh6ZnEzgWgWsziDK6gUupNIPI5IIstTw6rmR3nJ14l+/XNmh1bM2TFRWWhH7DwXcsntvq8NxWh298eqMuxpsQZiXnlls8f6rDcsvl1bsTvniuf2IFwnLT5cp+iG3B5/r9h77/blhtebxzEHL9KPpIyQnAVy4uczDNeHtvykrLoxs4VMp0UWWl4sXzfS6tP/kwwwUW+DDwKOTkrBDihUd9QK31Kz/F9SzwIcF3rLmb5JePCTo/yTgKM97eD1lpeSc2F8+w0fV5a2/Clb3wRHIyiHKu7E25sh8SZSWWFKy0PS6vt7m42sSzDRn4V28d8KObQ6ZpyVLLm7+eQWpxGBb82ZUDXjjd41mhKZVimhaUlaYdOIRpSVbpOujMFNWpWRmNMNH2ldZQR7UrDUJrrh8m9AObqJ7SaMDJSwZxxv40oxc45KXCtgRawyAs2OoG9BoO+9OMSmuGsVnn+I7N6X6DwJFcO4qQWlJYmjivKCtF0zXC271JQpjZaG20NxKBJcGSFqM4584wplPngkgp8F2Lp1dbbHZ9jsKc0/0Gz211KUrFK3dGXN2PaHoO/YZLp+EwiQtuDmO2ekGtY9FstD2ysmKp4fHcVpdBlOE5kakGcO//mJJCoFF1wJtZax1MMtY7Pk890O7r2RZfPLfEF872qZSek52DaQacHLtf/1XIqwrPth9pajKDeXz9nqFrHxbWOj5/63NbvHx9wJV9k6FjCVOZ8JlTPb54rr9Y6SzwicGjkJP/rv7Po+KTfSu+wCcGu5OUUZy/b928iXa3uH4Y8dVjq52srPj/XtvjJ7fHHIUZniNp+Q6WENwaxLx6e8xm1+crT61wcxDzl1cPWWl5nFm6X6Nj7lAVP7o15se3RlzYVFRKk+SKdmAjMTZYpTSWI6i0otRG62HORqPVULVDxJGSQpk8k6yo2C8rHFsiEHUWiWWEuKXmKMzJKsVS00VrTVyUXN5omQM+zLl+GPLSjUEd1KaJ8hKlLWwpSAtFWZkpjV+HuwWuRVRPa7qBg9aaVl12uNH1OdMPeOcwRKNxbWkImjZTnjd2JrQDh69dXuPXLq8SpiX/7f/zOnuTnEvrTZqeg0CQtUquHUREaUHlKAZxQb/hYgnzeKM4ZxQXWEKQF+U8ZRXMuizOS8axmUjFRcWfvn1AkpX8yqUVdicp55YaDx3CQoj7+nH6DYf1tsf1w/jECcdRmNENHOwP4Go5lrj/kWOt7fPNF7Y4CjPGSYEljV7pkz4hXeDnD49CTv4ZsJiGLPCxQ6VMcuhJ4r8HYVuy1n6Ylcvbe1P+0cs3eeX2GMeSBK7RebhRzlbHZ73r40jBrWHC9b/eJsornlp9OGwrzkuGcYHv2qy2Pa4dhIx6OUKY7/WbZhoxSz6tFPO4dlV/Pa9bcecprPWd+vGWX6VMCFqljKjZdyzTUyOgqhTTpEAKwalewJmlBlKY6Y9Cm9ZhKdifZDRdSb/hIqXpZ4lzhWvLmvRIeoFjMk4KxZmlgNvDBK3NtGJnbLQby02PslKc7geMk5KWb/pnLq23eXajzZl+AykFgyqnVIqlhkPLu/e6ebbNRjdACnhmrcX2IGazG/DW7oTbw5gwdYnqdZjANEV7ro1SZkoS52alY0uTTpJkFf2my91Ryv/58k0urrT4zU+tv2stw94k5cpeyM444c3dCduDiKdXW2x0fWwp2RknuI7k/EqTK/vT+2zF74dSKYQQBO7PdkKx3PJYfsQSwQUW+DjiUcjJP9FaL9w6C3yk2B2nvLMfchhm+HUP0MWV1n39I36doZEW1fveGaZFRdt3eOX2iO9tD/nra0dsH0bz4DIw65SsULyxO+XGIGal5XJxpclL14cM4/y+8sEwK9k+MhbhaVowTkrCtCTMjLAUNJO0JN0PCVybSimztsHoKhJVUdaOHTGPoDcOHSXqu28gcCVZqamUMgV/9RTGsw2ZKmpb8jQrWW15fPFcn25wjwiU9SpoueVRVRqFSSWN84pKaRquRS9wcC2LXCn2pxlpYazYXd9h7JkMkKJSpGVFqTSOJYiyCikF55eb/N0Xz/DixeWHhNVFaciFJY2b6fh6ZEYs1to+w8ToUpaaLkJA4FistF2zpopyLCmYJjmTtJw7mhqOaRUqa+eR0jCKC0ZxwY2DiINpyr/7C2fvs/SmRcV33j7g1btjBqFx+vQbLneGMbcHCQ3PYrPjc2mjzYsXltjqBuxOUsZJcaIu5SQchcbWPAvoW2CBBT4YFoLYBT52+N6NAX/+ziGHYYYjTavs925YPLvZ5huf3pw7ck73zN33d68eETiShmex3g5Y63j3HYSz7qCkqPiDn+wY0lAoNrrBQ4dOwzWttHFecWuQcBTmJIUJJbs7Sug3XCZJMXfNBK5FUWrSojJ3zXXWqMLEshdKU2UFjjQlfbZliEelNBJDTMyV3rvemeZEYtYtlTI6GKXMWqNQmjwrKJVGVUYR2nJtNns+S637f59ZuZ5SioMwZ5oW2JaZvFTKOIb2Q4UtBS3PwZIQ5RVNV2BJSb/psjdJSfIKQW11lhLNPaLQCdwTHV+9psPpvjngJ2lB7xhpivOKtY7HKMnnr9cvnF/i2mHEtYOQpKjY7HpUWmNLGEQaz7aQaBzHql1JOVLAatvHEgKNISBZWfGHr+9zFOb8Z//GJXoNl6JSfPv1PV6+MaDfMD1FlhQ8tdZmmhbcHSXsjFM8x+Kzp3v80lMrKKU5t9Tg9Z0J3cB53+lJpTRH/z97b/YkV3bf+X3OufvNtTJrBwo7GmigN5LNVaRJzoiUNCNpFB6PJxyOcfjJ/8e8+sEP8x8oYsYx4QhrwjEj0dopiSLFRWSTRC8AGjtQW1ZW5Xr3e44fzs0E0EBvJNXoNvP7AhSqMiuXQp3v/f2+yyTli2e7LC+mFgss8EthQU4W+FjhZm/Ct6/1KArFxUeyJcZJzmv3BtRcm995cQOA1+4P2Bsl3D2cshS6iDFsDxLOLNc4v9ZAVpban94b0B+nvLkzpBWYsK40L1h+F+eOwOReBI7k3mHEUZSzXDeH9PGlgDe3xxxMjADzKMo4is1kIS81nmNEolpB3bdxbck0LeaTkHFcYFmiilM3ZXYIKnGn+f4zuYKUpkvHt6X5u9K4loXnCKK0BDQrDePKcB3TixNlJW7wkCgEroXnSO4dJXMisFwzz3sQZVVkvJkYJbma61ksWaK0IslNZHzoWIzTYj7xWKl7fP5MF601P7s/4PJm8wmdR9N3+NzpLterCZhS2kTqpyVSgiMEwzhns2UqAlzb4sJag5pn8+Aw4ijOKUpFWhh9y8luSGBLplmJAnw7QQjzfWaoe2b9cxhl/ODWIf/5h/f4375yhte3R7x2d8B603+CkDZ8hwvrDhfWm9w6mPL69oiXt9p0ai6fObnE9jDmTj/iZDd8V4KitObmwYSNVsArJz64u2eBBRZ4Ot6PnPx7FnqTBT5CvLkzYhBlXNpoPfbvDd+hW/O4ujfms6c75KXi7671qHk2Z5fr7FZWXiHgTj+iUzcCy5/eO2JvnJJkJaFnM4pzbvenCK1NkmmuEAJq7iOFdxWkkHRqHrujhHFaYsmCW/0pB9OUbs1cGQ+ijKzQpIXRbljV7YUwxMKzTE7HuHIBFaWp3234kqwURGU516PA48FCWpvJSzt0yAvFNDfJr0IYu2zb8ejWXQLXIkpNO+/VnTGlVmhlnDZpobhzMGF/nCIErFZX9DMnkVImRA3LRMmnRYlWmiRXvL0/BZgHs600PE50Q46mOWsNj5OdGnFesjNM2Bunj+SNGB3Nnf6UwLV49eQSV7aH3D8yRYaztUxvmrIsXIpSc/coInBsji0FbC2FHGv57E9SfnJnQKk1JzohnZrL23tjQLDW8BBi+NSfISkFy3WPaVrwN1d7vHysZWLb0e+5nlFas9b0uNWbcn1vzOfPdDm/1uCfXVzjr9/a5+remLWGTyt05qRZaVMM2RsbsvrNy2uPvQ4LLLDAL4b3JCda63//UT2QBX49EWclNw8mxFlJ03e4fRDR8p9+gHRqLrf7U67tjvnZ/QHfu9k3V8oYItAbp9jStO5KKTjRCUFAKzC5GhtVgV5/mnIwyUgKzYyLuJZkpeE/IaI0jhSHKC1wpGBvmMwttuMkJ87NekPAnJjMkBWKaZaahNRSY1lG1JorGKdqXpr3KDRmHVTlpmFLQVlqo60oNQoIHE2n7nOiEyIQ9KcJaE1/nHJUaTTirCTJS1PSpzVZqZAIhkmJFCXTrMSxBUpLcqUrIqSg0JXwVvHgKEJKQ9ykEISuS3+cYVuCpFB898YBni1xbUn2SGvfzd6Ev7nWY3tg4vUtKdhq1/jMiQ5xbt7vKC1ZaXh0ah5JXnJ9f8LfXu/x3FqdV7aWsKTRtSw3PITQvHCsxY3ehEFSsN70yUtDCJXW3O1PWX2KI2Wt6bM9jPnjn+8QejYr77JqGcU5e+OE3WFCoTRHUcYf/fg+qw2Pk90ar2y1qXsW/3jniDv9iJ1RPC8K1GiWQpdPn2zz6skOW51Fqd4CC/wqsFjrLPDMsDtM+NaVHe4dxlUCqWR7ELPefPqVp1Kao2nGn72xy52+6Y1p+OYqtuE5DOOMaVriWvD8eoOLG00maUFZpjjeI8RBm8bdmtZ0Qw+tNXFecjBJTeuv+/CQ82yLtu9wN86YZIJabs3zQEqlSXOTaTKzus7IhtaQFLoiG4ZUqJI5GSoVOGZgQfkIQ5GA51gopStyYsSuoHGrYLVm4JLk5ZyI9MYpB5MUKQW2EORqFqymafoOmy2PO4cx4yRnkhYorUAbQXFKSVbF4M/WSpZlVQ4VQ7DiLGOp5tDw7XkA2jgp8GzJ/ijFtgT3DqecXq6xM4z51s932R8nHF8KqXk2WaHYHca83ZuAhrrn8NLx9mMuq5pn8+O7R1zdG3MwyTizXGOjFdAKHAaRmfJsDxKjNcFUFlzqKKSAwyijUJqT3dpjFQW+Y+FIwYNBRDv02Gw9+XN19zDi+t6YcVVS6FgStOat3TH/+Yf3+NzpDl99boVzqw3OLNd5MDArnigrDGHzLM4s11lreh/Y0bPAAgu8PxbkZIFnglJp/vrqPjd6E84s1/Ed05h7fX/Cjd6Y0yvG7XA0zRjEOaVS3D2MGMU5Db/FxfUmaTFACpNS6lgQOAFpXnKjNyHKSiwBozhjmpWPlRsqQKuH7hEhRNXjYkrwHiUnAM3QwR1JkqygVO589yKEMF0vSmPZ5h+zogoHwxCT2XE1c+ToasCgMSREwHxy4ViCsvpTVGFeWaFNQJpnkxeK0LWouza9ScKbuyMERgSaV7HwYehQty2OIjPh0GgsS1ZOGMEwyhhGJrQtzhWlUnO7stZmsqPUrCyvnLcOl6YWiElaIISZSmgMqXNtyY39KV88q7hyf8jOKObCWnNOFFxbcqJb4y/f3OMoyvi9lzafsH93ai5fOb/MnX7E/ijh1VMdvnZhhT/5+Q6jJOdwasS8S6FLXprvK4VAViu5OC/JCvXEe+fYkqLUDOPsif6jt/fH/OjOEdOKaE1TM+WRAtqhg29LvvP2AbYUfPXCKlIKtjrhYjqywAIfARbkZIFngt1Rwr3DiM3Ww+bUZuBwshNyszfltbtHJIXJ74jzkigr2R+n1FyLolS0Q5M4ejBJ6dSMWyQrFEdxxslujXFasDtKSApV5XQ8PAw9WyI+RAxFw7OpeTZH04xS6SovxSFwLGxLUmbGzZOXhpjMMPsWD4NgBVro+XglykqzFrGkyTspDVlIMrAsgQTy0qxZLAG5gDTXTC1jmU0KU4pXKuPuSQqFn2vagSRxrKrXRnEUZQgEoWsRZYIkN9Sp1IZAmXTZyiEkDaER1dLJc6zKkVRy93BKrjRLoUfDM1OYpm9zcrnGYZTRn6Rc701o+e4TJYvTrCArzCprmpko+3fCsy2eW2uglCLKCm70plx5MORuP6YR2ESVXVpVuSuzzqCsUJXI+PH709ULXfeNZmcQ5ay3LIZxxs39CT99MGQY5TR8h6JKTksL05uUlYrdUULo2fzk3oAXjrUeyw0xK70S15IfyMmzwAILfDgsyMkCzwRlaQ7Hdzo82qHLsY5ibxizM0wJHQvHNuV0HaXo1jxuHkwplebiRoNru4KjKOOwzHAsQbfm8fxGc54iGjoWvVFKWjwkMEKYxNhcKRSmPj7OSxzLHOAzxHlJlBYkhZkObLYD6p7D7ihBY3QqrmUIRJRWawHHAgFCi/mKZ8ZHylLz6LW70lT5IQphUuypBhlorckfCWA7mObVlESxNzJrIjAHsOnhocr6yMiqHpuiVLQCF1WRl7QwWSlSlAiq9mMpqv4dgWNLZpzCsQS2NKscAOFq4tyUE+4MIvJScX6tznNrjaqZ2BA1pXgsiXWGaVqQlbPW4feOT9UI/uyNPd7cMSue/jTlMEoZRDm+Y7Ha9FlteFXBoZ4LYN132JmTXOFIYTQ8tuBGb0yhCm72IrYHCUle0qm7eNbD2+VKUcem4Tvc6ke0fYcjL+P6/oRu3eNuP+L17SFv709Iq9qAraWQy8eaPLfaQP4CibILLLDAk1iQkwWeCVYaHt0qQ6O+UqdQioNxytW9Mb4lafo2F9abZLlikhXcO4ooSuZ6ijuHEatNn8+eXuJwks3dMp2ai2NJ6p7N7f6UjZbPMM4ZJwVHZYZVHSYrdUNy9oYxvmMsv8t1l8CxKEvF3aOI3jglqpJKG77NUuDw2dOr/PjOEdf3JybTpNKFlNqEh6mq7XeGahvy2MczSFERl4qECGXsw0JXWhTFEyjecbC7tsR3LLLCiF/zQhHlikwpQtfGsQSuIzmcZERZSV6YaU1WKAoUaDFPrA1dgRRmZiKkqO5bMowKAteQCscSlEqQZGZqgtYM45xXttp0ay4rDZc3d0aPhZ/NkBaKdugSeu8emDdNC272JkR5yVfOhRxrB+SlYpoWjOKCvVGCbUmW6x6+I9EaTnZDQvfJX2X9SUqhFEdRTuAYC/Jr9wY0PItOzWOciMeISak1UVrQCky0PcJ08PSjlLd2RtRcm798a4+DSUYndOd6mp/dH3B9f8wXz3T5yvmVBUFZYIFfARbkZIFngsC1+PzpLn/x5h7fvWEC14aRCQgrlKbhOWjM38dJwe7QXOmWI2P9zUqNc++Ib15aZ/UpB6FrS5TWdGouZ1cadOvunMB0qyTS47tjXt8eMa0O2nbVjnt1d8TeKK2K4oymwRKCvXHKj+4czVuF46oJt+U7HMU5/SgzEyHFXHMyg8CQkUfFr6rSeAS2NFH8Ws8JSVo+eVveQVgkEDgS2xKkhTABZZbAq8iKYxnSsz9KSQpFWZok1SQ3cfmq1PNgtcCxWK57DOO8qgQQeLbgcJoR5yVCOliWZK3hEecle6OE797oc2G9wTeeX+dL57oIIbi82eLGvknOfZSgKKUplKblO48RCa21yS1RGt+x2B0l9KcZz601CFybAFhueIyTgrpvM00LjiLTgiyrBLunEZMoK+bpwqFj8ZmTS7y+PaY3zjgqCwr1kCiWWpPmRhjc9B022gFSzuzTPtf2xvzw9iGDKGeSFVxcbzwW8rfSMHbz797o0617vHCs9cTjWWCBBT4cFuRkgWeGl7fa9KcpN6spxIvHWywFLle2h6RFyY/vDvBsydnlOkuhyzDOaXgOpdYUccbdfsQbO0NeONZ+anNslBb4jmR/nNDwbTZa/mPtxZc2W5zo1tgdJuwMYsZpzs4gYW+cYAlBq+4SOpZxtRQmrv3qzsisQyyJFIY8tUMX25LmYH9ECOtUtuGZZbh8yjbDsY1DRCkT4ia0onhH7olnG2aSv2OUojG6FcvS5nPaEA1LSgIX0hxcqeb3P82NA0c8QnKUNmsY2xJMUpOcW/ctAscya628JHQslkLTrNwIHLY6IXXfEDaTLfNQXHxpo8n+KOGHtw95Y2dI6NikpRHWXtpoIh+ZKx2MU+4cTjmKTH6Lb0sOJglCw/Glh86ak50aR9OMaVoARgAcZyU8PUOPQinuH0UIIVgKHVqBi2ObddvF9Qa9sUmsLUrTamxJMyHq1H26tccbrgVmIrY7jLGk4HOnu0/9WVtvGhJz5cHQPM/F9GSBBX4pLMjJAs8MRam4fxiz3PT40rllhBD0JylaY1JEq2vbvAoKU8rMIywhCBybXCnu9CO6NZ9jjxxmhVJceTDkRm/KODWrgP1RwrGlkIvrjceEjXXP5txqnROdkPuDiKNpTt21aYdO5aZ56MJxLWkcLEpzZiUkSgs0pp8m9Cx8R5KXGltmlErgSIEUmlJD8Y4VjSWYi2hnMAWEgmFUMhucWBKkNOFusywRW1YR+NpMkFyhEJikWUua4LXAkaSFsQ27tiRXYNlGY6L0LEL/YXBcrdLa+K4p/xtGhRGu2tIQQqVxLFMQONPstGsOz2+0uPJgxIlOjc+f6SKl4GsXVjm5XOPa7pj+JCP0LM6vNpACvnVll3uHEY4tef3BkEla0PAdHEcySXPuHJqKgHb4MPW1U3O5uNEkzktjh646dt4JjSbOSoZxji2FWTshWG16XNsbsz9KWG54bC6F+JPZZEzSDp1qBfakSjrKSuquTX+akhXqqcRkhpWGx/2jmP1xynrrXZjTAgss8IGwICcLPDPcPYx4MIjZbAVzt0Po2tUqJ6dT85ikBaM4p1t35wV0rmWRl6rSPMD2MGKj7c8Pjhu9Ca9vj+jUHL5wpsvN6uP+JOXKA8WnTy7Ny/5mcG2jX5ASQtfCtmXlCjHriFKbHhvfNlOU/WHCNC8pCkWuHopsW4FdaVE0mTJC0aYnsaUky0smSYG0zPwgLVU1ZTF2X1ntboQsjf5EmDblUum5u8iseCp3DeZrXMtCOlTEyIhE89KUBWokljS3q9zONH2LwLU5GGe0QnOAB65FJ3TZHsQM4pw4V/iOVa1hLMZpTis0abSzULem71D3bFzb4sr2kFdOtE3/jRScXalzdqXOOxHlJX/11j7fffuAQik2Wj5g4viLUrNSd8kVhiR6D9+jzVaAfUqQFSV3+jH3DiOKphEDT7OCvFDEeUngWPM+n0Fk8lkeHMVc2xujtK6i+c3r/NxajaMox5byqcQkKxSjJGe95ZOqklFSiXqtp2tmPNtMz7J3MtEFFljgQ2NBThZ4ZpimJXFezov8wGhRTPS7rg5U08IbuBZ1z2YQZVCdWa3QxbMlh9OcYWwyMOKs5FZvihRwYb2JZ1ss1czaJcoKJmnBcsPj8uaTuoAoK1BKGwvzMMaSElFNOGxh+m3ivCDOTOR803eQNiSpoixKo1soFKyYx+3bFpYlcC2zukkLhe/a1HwjpCQtsCvxrlmtGNKSFSVJrkxrcXXQ6WpXJKrkWC1mqyOjF3FtSVyV3mltpkfmdmbVk5UPs1RagTvPh0lzc1iXpWCl7tLwHa7tjZCecT5JIYjyAkuaiYrAfOzbFss1Q2b645Rre0Yw+rULq6xWE4TdUYLWmrWmz1YnxJKCz57qME0Lru6OyArNpBLXhK7FmZUaQsD3bvS5058+kSeyUve4sNbk3GqDYZRRKBOvP0kKXEew1QkIHBulTficUiZFdhgbJ5Vrmec8TU2ejRCSU906dw+nTLOChudgW6ZBeZIUZKUhT8+vNzmcZMRFQV5q3HfR86bVdO3R5uwFFljgF8OCnCzwzGBbAksI8wu/uqzXWhO4FjXfZpzkaA2hZ9Yrqw0zSTmYpqy3gnnh2yQtSKvws9v9KXvjhOc3mqw3fa7ujtgemlbdfuXqyYpDHEtwZrk+n0yUShmxZJSTl4qs0DiWJlMm9l0KE5WuqywQz5E0fJve2DQn112brFTEWTGPnl+qOSgF7cCh1HAUZUghSHNFXipKDa4QLAWO0URgVl0Cw4gkZnWjAVlW0faYADtdfd6yBFZl3fUdQ+yirCSvxK9SmFwWkzgrCGyLJC8Zp2WVFCuZxOY5X9ufcGmjhW9bTLISpTVRVoAQrDU9moFDkpcMqrK+u4cxe+MEpTWDKOfbb/V4fXvIuGp9nmQm8r8ZOLyy1eZfvLDBcsNjpeGxtRSy0fYpSkOyQs/Cs81E7NbBlJ1RwsE4pVM3RCpKC+4PYpbrHv/ypQ1WGx7f+fu/Z5oWXA6NQNW1TSbLpY0GoWfzH793h1sHU461A0ZJDoiKuGmavk2cFbx4rEU7dOYTozIzU7C6b7PZDji+FODZFisNl2v7GeXTLFQVeuOU59YbrDYWjcQLLPDLYkFOFnhmOLYU0K179MbpY5oR37ZYrVdEZJIRVPHnGliuu9Q9C9cx4knXtpgkBW/uDPmHGzlRVpLliixTfP9W32SdeBbH2j6BK7l/GDNMcn56b8jBJKXhOxxOcwZRxs4gplDG4TOIc+KsxJYS1xIcxRlSSBqeRVoqaq5d5YfoefiXa0lSKaqEWIFA4Dqm7C+pAsgC16qmFsY1k1Vtxk71P3GaFSgNXmWTzdTDTh0BqGp6ApXtGDkPexPVYygsjRaCohLDWlKYADhlJirD2OToL4UunmNxOBUINDujGFWtsNKipDcxz3Ol5uDbFvsjUx54ohOilebeIKZbc3FtSZSWxHnO314z5GS96dMIbMZ5yZ2DiB/c6vNHP77Pb5xb5txqo7IsCzq1x9drjiVZaXi0A4eDacobu0NUVWJ4arnG1y+uMs1K/uTKLjrKTeqrLTi+FPLcWp2LG03aoYvWmv/2sx2co5iDSUqSK9AllpSGeDQDxqmZpG11QjbbAeMkr0LvBA3/cQ1Kp+ZR9xK2hwkN/8nQtb1RgmtLXjrWWohhF1jgV4AFOUz9nCgAACAASURBVFngmaHpO7x4rMlfvbXP4dSaR6zXfZvDaUrNs2mHLsfbPlY1Ll+ue9Rci4Npxu4w5kZvylGUodCs1j22OiF3+lOu98ZM0oK655CVFmmuKCo7a8O3SPKCf7h5SNN36NZcepOUaTVx2BuWLDdcVhqeKblLjZ4hLxUKsKXEcyQSgSWNi2Y2yXesSsYrzAolLdV8deJYD1uPhRC4tlkhzCLzZ+4bWwpqnmMsv3mOVmaCYlV2Yq2NE8irEmqT3DiJZuV9lpA0aw62LVgKXKKs4O5hVBXlSWqumTAI4HCaYUmjW5k5iiwp2GiZYsEkV/POnfWWz2YrIHAlP74zoOHZuJZgZxDTn2YkuVnR+K5xxiS54nCaV4e+SWgdRjmnV0Y0A4e0KLm02ZprhQZxxo39CTd7U5qBzZ3DyLiHPItW4HK3H/F//PlVhlFBnBf8q40cKeCnOwOu7Y15Y2fEK/2Ib15ep1NzOdUJyPISIQRJMSDKSo61zcTNtgTjNJ//LFpSvGdjcak1nzqxhCsFb+6M6NQ9AsciLxQH05TAtfjS2S6XNpq/yv8iCyzwa4tPLDkRQmwC/w74t8CngK9rrb/9TB/UAh8aXzjbJcpKXrs/YG8UGxdOqRinBZstn1e2lh5z18yw2QpwLcG1vQlbSwFfv7hKrRJQSiH44a1DLIz752BiulK0NtqG0LGZViTAs8VcZ7AUOmSlIisUnmOZg9ixGMQZu6Nkrvlo+DZlobEdSejaDOOMtIqSn0W0u5bEtiyO4gxbSmquS1ZljSCYlxaa5uKSVmmcIHmpcB1Jt+5WhztkRYYlwHUsk5WijHC0GbhGP5GWRmMiBK3AIbAtVlumpXcc5/NJUF4oQxwwEfXjtEBpI9otlVkLLYUOo8TE8b90rIVXvR9SmFWWFILtQUyclyzXXfbHKfePInzHZqnm8mAQkxeK3WEyXwMZa7NNlBWM0oIb+1OWag4XN5q8tTNiue5xGGW8sT1klJhU33FSYEtJKzCrnv1RzDQrOYpyQtfi4nqD0I0BaAQO07Tg/lHEMM7ISsW/euUYp5br3DqIqmmKw0/vDWmHDrY0jdKBa1P33/9X4EzH81uX1+mELlceDHi7N2WaFthS8NLxFpc3W1xYWyTELrDArwqfWHICfAP4n4BF4tEnGJ5t8c3L6zy33uDa7piDScqJbshyzTMOkcB56u1KpfnHO0copXn1VGdOTMBkZPzsviTKiyr/A8ZJwXLd6B0sIejtjGiFDmtNn1PLNUoF3bqLI+FOPyZwjYB1FOdV7Ds4UtIKHRq+UxXrycqCa6YTJi7dOD8avs2FtTr9SVp16BjbcZQrAseIe5uBY2L245xxVaintMaTJgbekClJXlpYUhI6FssND8+WxFlBoRSb7cAkzFYOGoERCj+31iDNS/5mf0yUmcO1XXNpBQ6OFOyNUqaqwJKCKDOErO7baEzo3ME05Sf3Bnz5/Aqu/fiviVlWytE04/bBlGlWIoXkXn/KUZyhtcB3HrY0e7YhNbYlaXjGjbU3Mq3Fv3FpnZ/eH/DW7hgpzEG/O0xxbUnTd+aFj9vDBCGg7hlydRTl0DCPp+mbmP3+JGOSFnz/Vp+tpYCLG01e3x5y62Bq1ky+zSg2U6pJWnB6uTbXLb0XdocJa02P86t1ap7NiW7IKMlJshKnsiIvunUWWOBXi08sOdFa/yHwh0KI3wX+67N+PAt8OCil2R7G1RWyYKMdPGY93RnG/NefbnN1b8xqw6dTe1gmN0kLru6MGEQ5Lx5vsfaOTAnPNmmnSW6u+IUAS0jWmj5LoUt/kmJb0ghfS1Nu59omul1KSSNw6NZdzq82iLMqVk1obvWmeLakE7qVMDQz6xppUlpbjkPbs/FsY0+9uNEkKxU39k0c+1LoIuOcpu9UaxUjfF2uu/i2xWGU0fBt8tKsekLXolSSmmejlSas1lxrDY+sVJWIMwOMBbsVGLLVrbnsjVOu7o7nQmEhTE5Mb5yChmElNraFiYiruRY11+JomhF6JpZ+nBTc7E05vVx7rMivHbiErsXr20MGsem7mTmhitKk6pYKhrEJOnMtOV8NOZakGVhsD2Lu9iNeON4kKcxtL282eXt/Ql4qujWzYhlV1QOz4sWm72JLExhnnle1JkPQrbvsj1KGUcHPHwx59VSHf/78Gt9+q8fdwwiA/XFCzbU4vVLnwlrjfX9O98cJpdJ85mSH2iOusqbvfCBis8ACC/xi+MSSkwU+ubjbj/juzQPu9iOizNhUOzWXF481+fyZLp5tsdEK+INPHeN7N/rc7E25vj8GKjePY+M7ks22zwvHWvOgtBk8ZxYWZg5Sz5GM4nxeOCel0YqkudGKrNQ96p7DOCno1FwKpUxiaM2FmrnP5zea3OxFjJKcUpsOGw2keQm2EdF2a54Z9VuGrOyOEr5yfoWvX1zl//rRPbJCU3MVUV4ihXGNJIXCcwzpuLDeYKXhcbM3ZX+csjdKGCcF3brLi8davHy8jecYt81OtTZZrnsoremNUoQ0xOwwytgbJRxrB3ztwgo/vHXIzYMpVELc3UFClJtywFwpPEtSr7vUXWPDHSc5GjNJ6tZcru6NqbmWIVfSrK4mac4gKnAsiWMZx5WUICttTM2VlAoSZeziUgpcy/QACW2mUHFe8HfXewyiguNLIa5t0Z9meLbR5mg0gzgHYcis1iYdtlNzmaRGOPxox6BA0A4dBlHGzd6Uu4cRlzdbbLQC3t6f0J+kvLEz4v5RzErde6J08lGUSptW67zkS2e7vHpy6Vf5X2CBBRZ4H4hHK94/iXhkcvKemhMhxOB97qpVr9f51re+9at8eB8rDIdDAFqtZ7cJS/KSw2lmEldt4yTRVTtvqY0OoxOa7psZ8lKR5GpequdUmSXjtCB0ns6vp9W6RGDEjqXSuLZZuWhtMk1KpWmHDnXPIc5LplmBJYz+pO7ZePOWW80oKRglhuDYlQMGDFlSlYjUEgIpBR3HxKxn0qc7m4pM07kDaGYjlhg7deAaG61nSwTm+4+SvFoHmVWIU33uUaRFiRCwXDcNvUob3/HstmE1nZlmBeMkryzTxo1DZXc2k6VqulQ9h1lbcqfmcnwpIM7Ma1NU+ftCmM8fRUZQapJ7mVuoH01RnX3OCILN9zK2ZiMK9h0Lu8pqkQIGcW4i9aV5PkklaC1K44ySwrz/pdKs+Ua/M1GPC1mzUiGB453wsQwd804+nMbk5Uyo/LCNefbcZ4m4Td+mETj8ui9tPg6/O34d8Ov0Ov/O7/wOk8lkqLVuP+3zz3RyIoT4NvDVD3GTr2itv/NP9HAW+AgwSgqyQj1ca2AONM+2KJRiWgkig0eSrhzryQTPJC8fr/h9BLoqsxPCTDhKbQiQVBpLGoKj9OxrBKU2OStpIUjyck6aCqVIC0WUFWSVxVRg7LhKC+xZoqsw3TZKChqOPV83LIUOgWOeR7fuUfNs4qw0FtbEaEa0hjgrSXM1f55SMBfvtqrgs6fBtU2cflytjMBc8RelOVhnt5MV4RDCiH+pXEeiirufvWZlxZhm3GJG5pzA2G+LWb6KMAd8kqvHnEIKk1BrW/JhJoxgTt40zPt/ZgSjVAopHpqhbSmI8xKQFEpVEfPmvZxdR6mKBL0bY5DV1zwNAmgFJvU2ykqizJCU2X2LymXVDszq7WnJsQsssMA/PZ71Wud/BoL3/aqHePCLfqN3Y2czCCEGlmW1vvzlL/+i3+Jjj+98x/C6Z/Uc7x1G/P0P7tJo2ch3sW2+tTOi3lniG68ce8/7eu3egH/8yQNOtWrzRE6NZmeYcO8w4miasTdO5m3GaEHoWbhVTPyZ5SX+xYvrTLOSe5MMpTRBw8KREiXhZ3tjdkcJaa5IspJSa44vBeSF5sEgYpKWFFXnj+9YeI6kKBWfOrHElxt9Gr7Nb379Sd59fW/Mt67sspPHDLKM3WHCIMrneScrdZevX1w1WSGtgJEj2R+lxi6tNXXPYbVhAtEAdo4iJq7Nb33hDK4tTene9+5Q84wGRWvN92/1+cndAa5t+n8ORgnTrKTQmnZg3CtAFdxmJh2+Y/EfvvwKnz7Zeerr/0c/vs/1SZ+f7Q+ZpoXpHBJmRTZbmeWlQmPs2yeWaoSeyXgJXAupBduDiNCz2WwFrHoeTd/h+zdNYaAAiiqpte7ZSCkYxjlNz8Z1DGn7gw2z6nstW3/ssW0PYhxb8L9/82WOtd/710ucmYblrApXcy3JeuV0WuAhnvXvjl8X/Dq9zta71EDM8EzJidb6FyYbC3zyMIxzorR4zwOj5tnsjdL3va9zq3VWGh57o4StTojWmpsHU67vjRjGRo+AhiXf4aC64p+tFjo1l0ubTb54dpnNdsDuMCEtFDXXrFb+zx/c5cGRCX1bqXuMkpyaZ1crCMXZ1QZJVtCPjBh1reGz1vIZxplxGrmTx9ZSM8RZyV9f3ac3TslKkwHSClwC16Y3NvqSnWHCn72+Ryt0qqK7gkGUo7Vp/i11xG3P5vRyjdPLhpjlpZnczCY+lhQU1WF7GGUcTIzI9WCcYElJVipKbfJQ0kKhpAl0A4jzEg184fQSL2+9u87CtyWBY/Pcap17RzHTtJhPVvrTbK7JmZU1HsUZ7bCG98ihr7QpXjzVDbl5MOHOQcRhlNLwbdMobVukeUk6i/BXmlxpGrZkufZ0cqurldgLx5psfoDyvcC1OLVce+zf8lKhlF7YghdY4BniWU9OFvg1giWNI6Z4JK7+nSiUxnmXzz2Kumfz6RNL/Pkbe/TGqelr2RkxTExpXVmarBLbtlhr+CxVh5kUsNUJibKCP319l99/5RiWFPzDzT53DyNeu3tkrtADh5pn05uk7AwTfEfiORa60lBIYXQSs/XCRitgsxUgqwyRp61ibvQm7AzMfd3oJSyFLnmp6I8ySg3LdZ9JkjNNS3Kl2B+ltEKbE0u1uXhTac0ozrm2OzYuGKDhP1w/uJbElnC7P6EdulzdGXG3H5mqAGl6iqhakm2hcSpiojSUpSFAdd/id18+9phD551o11xKrdhoBxxUQW57o5Q4N/0zs/biuCjx5EzEG3OiWzMR/oXJZlmuu/zGuWVu9adc3RtysltjreGzM4wZVvqTojSlgJYlcKWgE7rUn+KU0VrTm6S4luQr55c/lL03yUuu7pogt6Mow5aC51YbPL/ZZK25aBheYIGPGgtyssBHhs1WQKfmcjBJ2XzK9KRUmjgvOL/6/hZPgM+d7hBlBd++2uPn949MXodSuFLiVB0yjiVZaQYs1036bJKX3D+KOb4UcO8w5q/e2iPLFVf3xtw5mHKrH9EJHY4vhQgB07QgyUuitKAVOnRq3vyxTrLCWG7TAs+xuLBaR2nBJDFdP//xH26z2fbZaAUcTXO+c73H7f60cuooPEeyP07I8pJmpS1p+A77kwRHm4bbdug8RhJkFbR2ux/xnes9hBS8sNnk5w8G+I7Fd64fcKM3Nf00w4S9UYpC0/RdmoHDOMkZxzlOacJKJqnCs41GxXUE67WAtYb/WJ2A1rqyJFeZJVJwbrVOt+ZRKsV60+fmwaQSLpcm2h9TYOhIQTN0sIRgkpVM04KG7zCKc2wp+NypLpePtejWZyWOGb5j0a2bBuSsUBzFOUs1h6XQ4XgnYJyU9MYJqmPIVKGUEe1W05vLx5p87cLaB/65nKYF37qyw+vbI8AQ37zU/MWbe1zZHvGNS2tcWP9gP5MLLLDArwafWHIihJgt5S5Xf74ohCiAfa31tWf0sBZ4D7RCh0ubTb59tTcPIZuhVJqbvQkbzYDnPkD+BJhJzNcvrLI3Snh9e0hS5CgFlmOEjZ2aZ0LTPHt+FW1SUF12hgnnVuu8vTdBaTNxGCYF/kwMWypGSc7RNDMOH1GJY9NiLuhseg6F0oySzDQhY0Ssq77RsPy313bYHcWEjsWF9QZHUc7eyKyQBBpLGCeN5zwUB8/cS1ob6+0kLeaJtTPsjxNGsQkcW2v65KXmv/zkAePYEKjLmy0E8L2bfaKsoBt6RrCqNBJB3XdYaZjG4aMoo1AmuO7sco2tblhloRgid6M34Y3tEfujFA00A5vLm03OrzU4u1Ljh7ePuLzZxLUk++OUtFBIYVwwvm3R8G38yvU0zQpGSYEUcBSlXNps8+LxFqXS1Fybl7faaA07w2S+prq40azyUko0gm7NZykwayKloVRqTmiW6x6uLfmdF9bfNbzvafjbaz1euzfkxDvcPUprbvQm/MUbe3TrLstPSSpeYIEF/mnwiSUnwN+94+P/UP35h8D/+tE+lAU+KH7j3DKjJOfKgxE7w5i671CUimlWsN4M+M1La6x8iFbXrFTmkG64KGWagE2xnnxXUaPvWAzjnElSYEvIFeyNYiaJsR7bUlIozcHEpMAGrsXhpEDnirxQJsdECjzHounbNH2XvVHMtT3FhfUmXt2Eku2PE7JSE2UZG3HB2ZU6Sa7Ii5KdccruMKHQmsYjB2JWmgyUumdjW6Jy9+Q4VcpqnJUcTDKKytJ8brXOKyfa3Nyf8NrBhN8416Xm2ZxeqfPGzohSadKyRObGBTTrK1qqUk2VNmmtLxxrVY+vZBgXZGXJ//PaA67tTShKRSsw9u47/Yi39yec6IRc3myyVHPojVNe2mozjHNeuzcAoQldh5pnzddck7RgFOfkhebmQUnDs3h+vcmxdmBanm0L1zL6jzMr9comLfAsyfX9CT+43eegapVuhw5uZed2pOSV422mWYEQgs+f7vDFs8sf+OenP0m5ujemU3OfsB1LYZqrr+2NubY7ZvncgpwssMBHhU8sOdFaL9Rqn0D4jsW/fHGT59YavLkzMgRACr68vsyFtQar77LfV0rzYBCzO0pQStMOXU4tm6v8/XFKUmiagUMrePfytkdR92yOosxcLUsxn2gshS5rLZ8oK0nzksCxGFbizlwpLCWwhEIhmaYFSmnTtaNU1cbrzTt2oqzqiSngdn9q7NECHFtSd01nTZorLFHiBhZaa4ZRTsN3ONYO2B5GNH0HS0r2RglgLLyjOCNwLBqhw+nlWhU+5qKVZn+UcrJTJ8oKpBCcXalVVmMPpyJaj+aQSGHsu4Mqs+RgktIObF7fHnFtb8yJTu2xQ3sNyArFzd4YpTUvH2/xozsD7vSnnOiG9CYpWWGKEsdxjm1J4qw04XVKo3VBK3A4u1JnZxjzd9d7fPXCKhfXG9w8mFCoh5ZqpRRX9ybc7k9RGrqhS9O3SXLz2iZhSQrcmkx46Xibl463+Pzp7nuGq70TO8OEoyh7LJ34UVjSdArdPJjypXMfnPQssMACvxw+seRkgU8uXFtyedOUpX0QV8ThNOOv3trjVpXQCkb7sLkUcLITkuaGPDjWB+erjiVJihIQdGsenz/tsDdMOLVcI3RtbvYmSCmZ5qUJcLOMKyYrjTXWsYzo0yTGGk1HUpSUyqwDSmUcNEeFidCP8pL7RxF5qYmzgtCzUdoU/U0SNf96W0pe2GwQeg53Dqd86kSL40sBvXFKlBa83ZtwGGWkpcJTmrd2x1VJYkArNPHtDwYxDwbGbXRho8X2ICLL9WPx64/DBKPlpWIY56w26tw+iDjZqT31Nq4tObfa4Nr+mHMrdb5xaY2/vdZjexDj2xYazVLoE+WKoyhjUrUSh67FudU6r57scGwpZHsQ8+O7Ay5uNLmw3uBnDwbc2J9wZqWOY0lu9ae8vT9GaeOaurTRZCl02R8npsnZmlAqTV06fP50l0//AimuSmuzCnwP8axdFTIusMACHx0W5GSBZ4r3IybjJOePf2Y6djaaARttHykE07TgTn/Kvf6USZp/6O9rHDXmb0LCi5st/uqt/XnWR6EUoEnzEktAUiXMhq5FVpQU6mGpXeBYrDU8HgxiBklOjMlAqXsmyEsrsCzB8aUaeam4eTCpYvsFQmumuWKaKSwJKw2PcVoSuA4vHW/Ng8hOdELe3B0T5yV5YaY13YbHOCm48mBIf5Kx2Qo4tRwipWCj6VMq2FoKcKTgzd0RoyR/ah9MoYy+48b+hFPd0BzYWr0HmQHbkrR8lzd3xvwvXzrJetPn6u6I79885Cf3jtgfp5RaE2clSMHppRqfOdHh5HJI6Jr7XW/5vLU74mZvyhfPdvntyxv82Ru73OhNKErN1b0xSVay0vTYWgo52TUdPzPnld/vAxDmNm/ujHh5q/2eDqOnoemb9dMoKd5VpzLJCl5eOHYWWOAjxYKcLPCxxps7Y67vTTizXH9MQ1LzbM6vNvjJ3SOGUW4IRF7S+IBlbEmu8GyTZFpzjchzsx2wPYirll+qaYKuMkZMmqpnSWwpyZWiE7qYDYIgKxXNwGaaFAx1XuWMaPLC5Hx06j6uLXFtyfMbDd7emxBlJY5tiv3OrdaRUpLkpt14peHy+y9v8uO7A24dTLnyYMDNgwjfkWy0PQSCmmOyV8ZpzuvbQz57qsO/+8KpucvlP33/DgfjlFPLNYpSceNgyt7I6HxmNuhpUpDmJin1/Fqbr11Y4VtXdmn6DlmhkIJ3XZO0Q4eDacogytnqhGy2A1491eHq7pi39ycMopxbBxP2xilffW7lkToAAymMDDjJSwBOLdf4t589wdv7Y759tYd3IHjueItjS+FcI/M0rLd87h1F3D2MOP2OzJL3w1YnZGsp5K3dMQ3ffmzlBWbNVfdszn9AkfYCCyzwq8GCnCzwsYVSmje2h7j208WtUghOdWscTjMT+FVNPGaJp+8GrTVRVlQHmeD5jSZrzYB//vwqf/yzHWxpsljGqenfMf02DklRkhQKASZi37FIcwXCTFgavs0wzigcs2Y6mubYVslS6JgSwQoCaZwmWnO8E7LRCvjSIyLOOCu51Z/w5u6Yf/3p49w9jPhP37+DAs6tNqi5Fjd6Uw4mKdNpgSMlaw2fdujgOXJOgl483uLPXt9jFOecX2vQCBy2BzH96WzVYoSqJ7ohf/CpY7yy1Taum1HCzjBBYCLvVxoex9oB7Xek+kpRxdY/0s/V8B1ePdXh1VMmWfa7bx/wJz/feWoMfKlMHkz4SFVBK3D4zMkOe8OEYZxzcb35nu/l7Dbbg4j9UfKhyYklBb9xbplBlHN1d8RaM6iaoRW9yn30xbNdznzI+11ggQV+OSzIyQIfWxgnTvme64V6FdOel8YmezjJWGl47xnANYxzAtdE2S83XM6vGjHky8fbXNudELoWnZpn7MlZidKaZuCS5qUplZsFsAFpaQr20lLTkpK1uplKFKWmXXPxLYtCG7urawlGScEkLjiKU5TS7As4v9p4LLgtcI0t9vrehIPTKZ26S82zubTeYrlyMn1qy2GUFMR5WTlXTG9Rf5rNE3hfPdnhcJrxj3eOOJya1+Wl4y0Opxk7w4RRUvC50x3+x89ucapbQynNt6/tc2N/yiDJ6YQOk6Tk+t4Ez5GcXa5zbq3OchVRP0kLAsd6z/fnzEqdbt1jZ5g8kQy8PYjp1F3OPEWMOusy+uAwHUm/CE4t1/i9lzf5/q0+d/oRh1Wo3ErD48VjbV49tbRIi11ggY8YC3KywMcWpkROME3fXYyYlYrlukfgWdzuTVFa0xundGruE+uIUmmGsYmCP9kN0cDzG825huFkt8aZlRpXtoecW60zTgvu9qfEeUmclfOUWDDTl2lmSu9KpXAtyVrTR0qBRODaAkcKEJpRlLM/SplVAZdVA7PW5hD+0e1DDiYpz6832agO8G7N4/r+mHuHMefXnjy8RRXGNtNJjJP8YTNeBdeW/NblddabPle2h2wfxRxMMvMaoFmpeyzXXfqTlKXQ/Pmj20dstgNGuzm9SUaWlyBgFOX8fHvAUZSx3vK5tNHkYJLy2VNL75n/sd7y+fzpDn9zvce1vTHd6rXuTzN8R/KFM92nWsdrrjVvQX4/lFXLn2f/4iV9J7ohW52AnWHCJC2wpWCjFTxWQLnAAgt8dFiQkwU+trAtycW1Bn/x5h6levqV9P44ZasT8NXzK/zJlV2u7o5wrJLDKAPNnEzkpaIoFQ3fZrUZoLXm5a02Xz63Mr8v15Z88/I6SVHOszyyouTeYWSITVLgVO26hTLrHSkFy3UTj39qOWR3mKJLQ6zyUrM9jMkLbSzElqnozUttWoGr28d5yesPhmwPYj53usv51XoVxqbJCkXdtVlt+lzfG+O7FgfjdB5S1q17xhY9zejU3fnhP4NjSV491WGj5fN///g+R3FO6Fms1Dw8x+LeUcztfsRqwze9NHFOt+6S5CXTrGC57mMJQeEq4lwhBDw4iuhPUi4fa/HCsfevdv/CmS7NwOFnD4bsVeuii+sNXjze4tLG09c2J7o1vNuHTNPiqZOZvFRYpVmfXd8fU3Mttjrh+z6W94IQ4qnJxQsssMBHjwU5WeBjjUubTX5894h/uHnAZjtgrekTujZKmwZiSwpe2Vri9Eqd33tpE8+W3OhNCNySrFDzq+rQtal7DqDxHYvLm02+cWntiSvjTs3l918+xp+9vsvb+xPqrsVa02MYF0RpQak1eUVMAsfi/FqD335hjbf3pigF3boLAyPyHKc5WoOQhogIoMSk16JNz4/SRrvRDB0Gcc6Pbh9iS8GJTogQAt8xcfGXNxp853qPa7vj+XMCs9ZabwcINF/ZXHmqNmdvlPDHP99hf5xydqX+hGMnLxU7w4QrDwbUPZtJWlD3bVxbMk5yXFvi2RZFWVa2bTOBOrtSe+pK5p2QUvDCMUNEZlbwpu+856rk9HKNY+2A2/0pz6025mu6NC+5P4jZHsR82svRwA8eHHJ2pcZP7w146Xh70YWzwAL/P8CCnCzwsYZbOWp2hwlv709oBg7nVhpYlll9fOnsCi9VV+8nuiH/5jNbXN0bc+XBgJ1hQpQaJ4gQ0A5dTnZDLm02Ob/awH2XNUCn5vLff/o4Nw8mvLljwsgeDGIeHMZMkpLAlWy2A775/Dr/3XMrrLV8/stP7vPjA74U8AAAIABJREFUOwO2lnzKauKBBte2jEh3xkiUxrYlealwpERrGCU5Dd+m5thMs4Kre2PirGSt5XGqa4SYWjOP1K95Nk3fma+wdkYJ37i0yqdPPJnzUZSKP39jl7uHEc+tNp7qvHEsyYlOyM3ehJsHU5q+zWrDn8fbj5KcaVaQlQoknF2ukxaKaVryd9d7XN+boLTmzHKNF463WG08nRxIKZ4Q1b7X+/7lc8sM45wbvSknuyF5ofj59pDdYWJ0NoERLm8tGdL6N9d6vL0/4bdf2PjQwtgFFljg44UFOVngY403d8YM4oLfvLTOwSThzZ0xdd/iy+eWeW69wUbr8TF8K3T43OkOr2y1uXs4ZZKWlFXqaLfusdnyP1BbrWtLLq43ubDW4EZvwp9e2cWzTJmgZ1vGNpwVcxHmK1tL3OlH/OzBiOelWeOU1QrHscTc3qu1RgtDCIQQSGESV6dZScOz0Tn0xylKa756YYWlmkupNK9vj9hoBZxZqbM9iBknBRo4thSYxNzAfSrZut2PuHsYs7UUvm9y6nNrDa7vjTmYZmy2Q6QwuovlukdvnGA3jX5kpeFzbW/E31Y6kppnI4DbB1Ou7Y/53Zc2Ob70y61YADOV0pq/emufa3tj7vSnpgwxMJ1GpdI4tuRTJ5doB+Z1urE/5k9f3+Fff3rrQ9UgLLDAAh8vLMjJAh87ZIWqWnVjfnpvwIOjmG7N4XS3RporPn+6w1cvrD71tqpaecxSTH9ZKA0/uTtgZ5SYlUglQI2zkhu9Kf/vlR3+zatbnF6u8Y3n13hrZ4SqnDdCCBAKKSWlMumyAvBtC9cWpmenVBRKM00LPEsyzQqc0KHm2vMCxKMoY3eUsNow2pbj7YAoL9HaOHtGccFhlDGIMrrvEKe+tTsiyor5BOa9sNLwWG/7XNudsD+O6YSVDiUp8GyLCxsNVqqpyPZRzOE04yvnV+Y24VJpru2N+d6NPv/DZ4IPRALfDxfXm2y0Av7yzV1uHUzp1Dy8Khum7pnVk1dVFlhScHa1wdXdEa9vD/nau/yMLLDAAh9/LMjJAh8rXHkw5Ae3D9kexCRZyTgpOJik/PkbezQ8m7OrDbY6jx+0Wmtu9yPe2hlx5zAiLxSd+v/H3nvESJKmaXrPb9pcu0d46EgRqbOyRJdoLbdHbPdyMbNzWBC7wILghQR52AN5JQmCIMADjyR4GfBAngYgZzgkdlrN9PS0rlZVXZ1ai8hQHu7h0rTZz8PvGZmRGamqIiszq+wBApWV6eFmbiHs8+97v/dVK8InZyuUntCYbTdudjyutIbM1wo7UpRdS+dQs8S19pBLG0Pe3FenUbJoFC3MWBt7sBRojyIKlkEqM/QgIU4ltqkUKAVLJ04FSaCs4+NMUnEM3tnfIM4ybm15HJgsqpRixloVQNM0SvbdLoiA7cfcz2o3oGw/2es3dY3PHZhgrRvgRRmGFiOE6kbtq7ssjAWnfpSwPgjZ1yjs8C/RNcFU2eZmx6M1DB863nla1EaS4FCztL25ZGga9tgh9l50TVBxTc6t9nnnQOORa845OTkvLvlPbs4Lw29vdPjhuRZerLJi7txY9k8WuboxYGu8AntvzomUkl9cbfPzy21Wuj5RqlJ7R2GCpWvsbxT401MznJxTGTVP+25+rRcwDFMW67tnzCDh9pbPm/vqhLHaaNGE+repioMfZxi6gEwDBGGSEo+9UnRNfbiWTtUxqLkGh6ZKHJ+tcHljyHo/BJQT62TR4taWv6tmo+NF7G8UqN1nvy6lJJXyAdfT+4mSjEEQb3di9k8WMDU11rqTvHzvSGi1F2Ab2q7CU8vQ8OKU+AnXgJ+EIE5Z7QbUCuZjDfYA6gWLzVFIZxTlxUlOzktK/pOb80Jwq+Pxk4ubpFnGkfvGMTMVh5mKGjFc3RzxowstpisOzbLNxfUhP7nY2jYVG4UJjqlTcUxGYcLVzRF/8/5t/nC7z5v7aiw1i1xpjVje8smkpFG0ODpdZqlZfMBe/S7yEUWNWvkF1dnIxpoSUBb7liFY64UgJBpg6YI4kyocMMlUro2uE2eSybLDoaZ67YYmCCIl5jV1jVcXatza8lnvBzTLNpoQZFKyMVAFzKmF6gOaEiEExfHq8W7EacaNtsftro8XKg2LLlTu0L7JAlt+xKR+19DOj1LW+gESyYnZyq6mZ1ujiFrRpPGEwtcnQWX9yEeG892LrqkgwyTbuwIpJyfn4yUvTnJeCM6v9dkcKSOyhyHGdvVnV3t8/8warqnx40ubnFvtk0koOQazVQdLV0VGwTKQBJiaRppm/J/v3qBo6lRd5biqCSXi/GC5x4HJAn96coape7oBnVHE7a7P9c0Ra72AqbLNVMVhsqSKgzhVa7V3vDGKtoFr6EhVU5Bm8u64RapxjGuClmREaUYmwdB1MgmmJnh1vrptqpYh0e9JWX5jsUbPi/jdzS7nV/vomiDNJLWCxVcOT/L6Qm3Xa3Z0usy51T43OyNGYbqdfpxlGbd7AaMgpVIwqDoqu2a15wNqlDJZtlnvh1xaHyBRXZHpis1b++toCL5zRm0BzVQchEDZvacZry/U99S8zNI1bEOj4z1ZwGMQp1i6jmN+eFO2nJyc50tenOQ8d4ZhwoW1ITXXeuTYJZOSW1se1zZHXNoYsjRR5GprRD9I0IQgyTKCOKXqmjRLNrqmUbIN+kHCSj+gM4wYGhpHpu8KOwG88fHjdJV/9cY89aLF5Y0B3z+7zu0tdbNe6fpsjSJubfnsaxQ4OFnkZttjoeFuh8JNlmwOTBbJ1lRB0vNjgjhjqmThxQl+nJGkKqG4aOiYmrrp+klKxTV3+JfESUbpnpGErgm+cXyKI9Nlrm2OGAYxJcfk4GTxoeOq1iBkcxjx/i3l7JpmEMQJmVomIsuU50uY2riGjmPpmLrG8ZkyG4OQozMV/ujENKu9gHQckLh/ooBj6mSZJEwzfnN9ixudEVJCo2jy9v4m7xx4cKX5o2DoGsdmyvzg3DrZE4ypWsOQw83SnmlecnJyPn7y4iTnuXOjPeJWZ0TBNhiGMa6po9+nLcik5MJan6ubI5JUUhg7gl5cH6ILaJQskBAkKev9gCjJmKu5aELghQl+lNAs2wyChI1BuKM4KdgGh5slLm0M+P2tLq/MV/ne6XVaw5BjM2X2TxQ5s9JjcxjS82J+09+iNQh5+0CdP31lZrvbAfCFQxO8uyGIk4z2MCJKMsJUkqSqiyKE+ihYBkXLIEwzapaObeis9X2mKw5BrGzx7/fqEEKoFN0ncEL9YLnLP11ocX5tQBArQzovSrcLICEEpi6QCFqDkCjNqLkmC/UC+yaK9LyYi+t9Pr/U4PXFB7symib4/NIEJ+cqrHR9skxZ1TeKezfOuZejM2V+d7O7a0bPvfR91V15Zb76lNk8OTk5LxJ5cZLz3AjilB+cWeOH51v8+kYHJLiW8iM50iwxVXVoFFQ35drmiCutEQVTp2AaSuipqU6AyvkVIKBgGsR6xtYoQhNq1BImyuq9ZJtkmXJMXWqWcO9xU7UMjaprcma1T5xJVns+x2Yq6JqgZGu8ua++XZxsDJTu489en2e6erfISTPJK3MVzjoG7WHIet9HSvXO39AFxtj6Pk0lgyBhECQUbZ3ZShFD1+iMYqIkY2MQMlNxOPQE7qu7cWFtwA/OruPHKRXXYLJoEY2PqQuB0CCMVXqzY2oMw4TNfkijYHJqvqquiwtrfZ+uFz/SOK3imFRmPvw21JMyW3X53MEGP7ywwfKW94C/jZSSziiiNQx5a3/9obb4OTk5Lwd5cZLz3Ph/3l/mr393Gz9KkVJ5gwRxxmo3wItS6ls+MxU1KrnZHmHqGiXHpD0MKTkGpqbj2gbDKFUurONui6lpuJbOlhczCFSqsKkrjYZlaPhxSpSkO4oTUI6za32f929uUbSNHe+8TV1jtuoyW3U5MFnkdtenH8SYhsb5tT7nVweE4/GMa2ggBF6U4to6hi52iDmlJkkTORaU6liGMmTLMokfJwzDhC8fnvxQuo0kzfjV9TZ9P+bodJmzq30SqcIGbUPD0DWiJEUCUSIJkwzX1MmkxNC07WtyZ3zyuBHKx8nnlyYQQvDutTYX1wecEClCKDF1P4ipusqA75vHpx/q/puTk/NykBcnOc+F86t9/sMHq/hRymKjQMEyWO8HVByDwThgzzI0rrc91gchXpgyXbHJpCRK1chG1wRlxyCIUoZhgq3fudGr9dj1foCGGmG0hxpRIpmtPlyHoGmq+xHKbDswcDeMcaGz3PH54fkNlrd8HFPHNjQ2+iHzUaSyd2wdQwiSTBJld9efDU1QdAxcU7nGtochtYKFrgludjxOzFR4deHxgXq7cbPjcavjYekap1f6rPcC+n6EF6VYhj4emQEIpSOxdWquRceLyKTa4DF1jfYwZKJkvVAuq5om+MKhCY5Ml7i4PmDl/BqZlNSLFm/ur3F8psJ8zX1kZk9OTs7LQV6c5HzsZJnk+2fWaQ0iliaLWLpO1TXp+bEy/9I1/Fi9o9eA0ys9bEOJR4dRwmTRYrriYOqCgmlQL0jKmaQfxAzDhFEU40epWsUVKmBPSrjSSukFEYeaRaxd1ob9KMUxdWoFk5WuD+yubRgGCYYm+M2NDoMg4ch0abtrMwpj2FBhfiVL2d0XrbFPyFhzYuoapi4QCHQtZRSlxGlAo2RxeKrEn57aqWN5GtrDkCsbQ5JU6W90oQqpMMkI0wxQHZF6wWQQJERxRuaolSJ1Xpr6OsQpX52r7unWzV4xWbKZLNn8dNVBAv/6y0tP9HlhkpJlaoSX61Fycl5s8uIk52Pndtdnte/v2EYpWAbTZYfVvs8wSKg4JkGcstZTOTJ9KRmGCa5pUBtvthi6xmzNYcuLmB2LMa+2hgRJBggsUwXrOaaOHyYkWcZaL0BKyUTRwotVON9MxeHAZJHWMOTIdJlTsxX++r1lrm0OGYVKG5JJiW3oTJYsen7CRMliEMYsNcvbhUkmJVdaQ/YlGVJCmEjiFAZBjKlrFCydomVy576YSZUP0xlFVByDP9nf4M/emGey9OG7Fau9kI1ByGTJ2dZlTJQsRlFCZxQRJSrpWAiwDQ2JpDUMYbxtc21zhK4J3t5f56093rp5FjyuxAiTlKutEWdX+qz1AjIkjqFzYrbC0enSjtXxnJycF4e8OMn52Lm8MQBgqmzT9WKaZaW5qBctMpkRxilRmvHezS3CsSeIhhJfTlcc/Cjlg+UubyzWmC473LA9un5MlknaowgdQcHRCZIUL8q2vUaysWlYqx/y40ubY68Q9U665pocmSrx6lwVQxf0/JgLa4NtO3RdaKxHIWdWekyUbIRQ45072oY4zcaZLn3mJiSGprZhCpaBF2VkmSquokRiGUoYKxBj/xDBm/vr/GdfO4TziHHSk7DlRUSpxL3H48OLUoqmTlcIolSia5BkKUma4VoGjqExUbTZ1yiwf6LIK3NVjs08PLX5ZaEzivjumbVxJymj4ppoQrAZhHz3zCq/uWHzhaUJ3jnQyEdBOTkvGHlxkvOx0x7FuKbB5JSt3tH2AxxTJ80kw1D5lAwCtbliGxpZpsSjGWqF2DENNgYBt7Y8Ts5WWZoscm61z/KWR5xmlCxjvCqrYRuAULoTDYll6CRZxihM2dcooAnoejErXZ+aa3Jmtcd6L8A1dY7PVMajppRUphQsnemKQ61gcq01JBt3YCqOyaWNIdfbIyxdQx8LSS1dWbwHSUbfj/GiBImkaBvYhkGYpBQsA8d0+fqx5kcuTACqrkHJ0hmGKY3xa13rBwhNbUElWUaaqrTkJJVoAr56pMl/8sWDLDRc7LE492WnH8T8hw9WuLA+YF+juKNLB0pbtNL1+eGFDTRN8M6BxnM605ycnN3Ii5OcZ0LPj7nSGtL3YxVtr2s0yzZLzSKZlAih1kMtXeN212fLi4nTDCsRJGgYms5URadoGWz5EZuDED9KWe76LNRcXFNnvR+yNJlyYLKIF6ecX+uTZhmJlOhSEiXKwTVLx+6tlo4A2qOQMEnp+hFFy6RRstUmj6nx179dZqps8/lDk2hCMAoTun6MlMqwrF6wiNOMi2sDrrSGDIKEqmvhJwkTRRtfpNtdGk3TcC2DZtlg4MZ0/Yj2MMKLMiZLBocryihscxQ8kCb8YZmuuDSKFv0gwYsSojTDj9PtwmeuViTNJOv9gImixWTJ5mtHmxye/nBryy8qH9zqcWF9yNJkadeiT9eUZ8zN9ohfXmlzuFmi/ow8WnJycp6evDjJ2VM2hyHv3dzi/NqAzUFIBttxuZahMVt18CJligYwUbK339G/d2OLUZjQLFsMw2Rby6FWYAWuoQSm6/2QmapNlGRESYZj6izWCxRtJTzVBKQZxKnyQqm4JhXH2B5TKJ1HyETRZrriYJsanWGEqWsMwoRKwSROM2xDp2gbD4THXVgfEqfquIMgYRglBFFGEGWMooR33AwJeGGMQAlyawWLqqvGUu1hxFKzxKFmidYgpFlyOPwhPU3u5+h0idcWa/z2xhY9XwmEw7H5WsHUkFJl8ry6UOPV+Sor3YBhmOzJsZ8XfpQiUZogXRP4UcrplS5l23hsN2qu5nJpQyVLf/Zg3j3JyXlRyIuTnD3jVsfju2fWuLE5olawWGqWMO8Jo/PChPW+Mifr+Qmz1XC7Y9D3Ezqe8qrQNQ1NE9saESnBNXVSCUVLx4tS+kFCwbrrRWJoYhzcJyhYGj0/wTHV89Rcc8d5OKaObeqkUhLEGYMwoV4wCZOMyaLNKEjZGIQs1h90Yk0zSWsQUSmY2KbO1daQME5JJEqIKyGTKjyvHyRc2hgwU3WYLjsgwNJ1TF3QGUUs1jNaw4DPHmjsmTBzomTzrVOzWLrGB8s9+kFMkGSUDUHJMSk7BnM1l4W6i2PqJGm6J+Okj5vOKKIfxHhhyl/+9CpIsE2Nk7NVdA1ag4i56sOdZO9g6BqWoXFpfZAXJzk5LxB5cZKzJ2z0A75zepXlLZ8j0+UdxcAdCrbBQdugUbT4h/NrvHutzR+fnMbUdbpeRBCn1FxznKZr0BmFGLogGfuahHGKF6VkQGcY0Ziy8KKEIElBShxDY63n0/OUW6yUaqW3PQqxDR3XUl4kUZIyXbY5OVshy6DiGpi6xtnVPo2CRWcUsTIeH92vvxDiTuqtsmtf6/n0/JixQS2upW/bwmtCbeqEScpaL9jWPSRSrfaauuD4bIUvH2nu6dfi8FSJ2arDtc0Ryx2P75xew7V05msulXsKtUEQYxk6B+6zyX+RSTPJu1fb/OZGh8YwUplKqUSgvie+e3qVREo2egGLjccXJ6A6c6Po5e4e5eR80siLkxxAWcl7UYpA6TOedlPjl1fb3Gh7HJsuK0+PR1B1Td5YqPObGx1+c2OLzx2c2JH5AlArmPSDeGwGZtMoWgRxSpgEbPYDDO1OhyQilZLOMKI9igmTDNvUmCzYjKJ02+NkGCb4cYqpCTIJB5sl3tp/953y8pZHNl5Pdi0dL0yIs2w74fgOmhDM11y6XkRnGG13d9zxmrFl6ph6hETd9AZhgh+l2GaGEOrzB0FCz4tplm1enas+kzyaom1war7Kqfkqtqnz40sttbVjG0iZ0fEiOqOIzyzWPrRN/kdBSskgTJAZlB3jibZlskzyTxc2+NmVNrahjTVEgunKzgiB82t9VnoBf7jd4/WF2vZ48GGkmcR6zPdsTk7Ox0tenHzKWesFXFjrc26tPy5OlOvqK3NVjk6XnkiouTEIuNIa0Szbjy1M7rDULLHRVzb1Z1f7jIKEOJVESUo6DvCzDQ3hGPhRwoXVAV6cECYZqYSaY2KbBn6U0R5FeFGCpauxT5RKRpFK3zXGIyJDAy9KGKYp02WHE/dlrwhxp9uiNlgyqXQr7DLx2NcoIJEqsVgKDF05vpadu0VGlinHNUtXlvBxpuz5C+Pk39maw3TF4RdXN6kXlfnakyKlfKqNmq8cmcQyBB8s91jp+khUt+jLhyf4ypHmx74yfGl9wO+Xu9zu+sgMVaQtVDk1V31kkXJ2tc8vr3Uo2wZTFQfRfvCxuiY4MFHkenvE5XWVdP2o4iuT6ntl/8TjwxRzcnI+PvLi5FPM725u8ZNLLVqDkLJtUrINJLDRD7nRXuW9Ww5/dGKao9PlRz7P5fUh7VHEscc87n5OzFVZ6Xqcmq9yrTXi5pbHxiCgaJvUCxan5qp4Ycp7tzr4sUqbtQ2lEfj6sSaTJYfLGwOiNGOxUaA2FrKeHmst4lRiGtq26ZkmoOZa1IsqAPBeHEPD1nWCWBU/uqZ0LEmWbY8N1HMJdE2wNFlif6PIwI8I05RxAwW4U9hIGOfVVByTRErmai5V16TrxbwyW2G+XuDyxoB/PL/BfM19pBurHBu8nV1RXQFDExyfqXBitvzYAtLQNb50uMkbi3VW75jQjbtRHzfv3dziH85v0PdiGiULTRNcbg250fbYGkV89Whz18IrzSQf3O4RJRkHJh49hiraBvsaRX5/a4vlLY99jcKuY0ZQo6Caa3F0Jg8KzMl5kciLk08pp2/3+OG5DaIk4/hMZUfAW6NokWQZ1zZHfO/0GpauPVKXsDEIMTXx1JbgFcdgBcHR6TLfPjVL/Vc3ObPS4/B0ibproWsaZ1Z6xKnEsXQqrkkYp2QSNKFRcVTi8ETJpj5OzjU0jbcO1LneHrHc8bfHVKahMVVWj+t4ESs9n+mKvX0jrBctakWTVj8kkxn1os3VzSHrvZA4zRCAM9ZtTJUdXEtnFCXMNwr0w5SVrk+cZkojk2WkUuJFGQjluaFrGoYm6AcxFdegWXbQhGBfo8itjseV1pBT8ypPJ8skW+Osm7JjYBsav7jS5qeXNxkECWXHIM0k1zdXObva49uvzrKwi3j3foq28VQdmr2m58f8/HKbMM44fk/narJks9rz+fWNLZaaJRYbD76WW+PMoOknFA4v1l3Wej63Oh7rkwELuzxnz4/ZHIV8YWmCuUdkLuXk5Hz85MXJp5AgTvnl1TZelD70ZmVoGoeaJS6s9fnVtY4yLHtI8REm6YfKKlGFgTIEK7smf/6ZeYRQ4XWG0Ki6JlGiQv0sQxDGEsfUsE2V9LsxCBkECRP3dQA0oXFwskSSSkZhwitzVUz9rrlYyVbJxv0g2c6w0YRgruqysuXT9SMSCe1hhGveEbjC1ihmcxhScZSb7CBIODlbYWmiyP/x7g1aw0AJNGtyO0fHMdSYSaRKFDtbczjcLG9vyDimTobkzEqPk7MVzqz0+cNKj7WeTyZVATdZtDm/PsDUtR3jqCTLuLw+5IfnN/g3n933xCO158XV1pCNQcDSLmOW6YrD+dU+V1rDXYuT9X7AMIhZqD2ZyLVWsHh9ocaPLmxwbq0/diBWDrFBnNIahgiUTf83jk99IozncnI+SeTFyaeQa5sjVnsBc7VHv1vUhGCm4nKj7XG76+960wCwDX1b0Po0SKlM3E1d3RiqrslrCzWGYcJqL+B212Ol6+NHKZnUqTjKHXayZNEs2dxoe0gpd70pCwRTFYdrrSGtYch87e65Fy2d9X5Mz493BOxNlS2GYUzPi5ko2UyXnR03rbKjxgubw5CfXt7klfkKbyzWmapYdEYxf3d6lc1hONatqAwbOZ73GLrYTlOer++8wZbHxdIPz2/w7rU2SSaZKNpoQhVIP7+yiR9l/MnJ6R2fZ2ga83WX5S2f623vuXZFngRv7Eey24hFEwJD1+j78a6fG6dKZ/M0RcRUxeHoTJlawaJg6WwMQpWRpOscmS7zymyFE7OVl96mPyfnk0henHwKub3lEY2t0x9HtWCy2vdZeURxMlWxiTMVYvc0HZR+kFCydRpFi0vrA358scVqPyBKlCCkaN0df9zpfJQcg4MTRSquSZRm6I/YxKi5FkXbYBgkdH2lLQDVsZGwo6DKpOT0Sh/HNDgybSOB1jCk7Jg45l3ztkGQEKcpQawC5b5zehXH0JmpOnx+aYKfX9lEE8p8Lc0kuq5Rtw1mqg5BnGHucr5CQGsY0fXaFC1jh+dJrWBxs+Ox3h9xve09IOQtOybLWz79YPeb+ouEuo5q7HX/Bo2UkiTLHrCZv4Ouie1C76mOaei8vb/OFw5NsDWKSbIM19KZLjt5nk5OzgtMXpx8CvHjR9/U70Ub58TE6cNvDEemykwUO7RHIVPlJ5/dbwwCjkyV0DXBd8+s0R5GLNRdbEP5nlzdHNH3I750eJKircSu1liUCkq0+rgbVrOkHGmlhLWeSkIuOsb4tUGSZmwOIzqessefq7l8bqnBai9gpevT9WL6vtJ/3HGpLZgGmYS+r7ovxarBzY7HIExolm1cM0AIODFboTR2KdU1jfV+QJRmD5yjH6X0vJiSbXBg8sHrV7CU8+1aP+DAZBH3HtO0OM3QNbFr0fOicWCiyETJYq0XPKCR6YwiyrbBwYds1tSLJrah40XJExXVoK4NKA1V2TEpO+ZjPiMnJ+dF4cX/jZaz5zimRnr/uspDkFKSSYmhP/xdZrNsc3iqxOYgJNnl5rsbg/E7/ZNzVS6sDVjvBRyeKm27vt7ZJumMYkah0rQ4pr5DuFuwDFIpH1mg6LqgVjR5db7K4kSBVEpub3n0AxX2d7k1xNDh9YUa01WHI9MlBr7yIRGo5ORT81Xe3t/g7f0NFhoucZbRLDnUChajMKFRsjgyXaZRUF4suqYKuumKS9FWjrd3rqN7nxtrkmZ4UYpt6lQLu988p8o2jqEx8CNG4c4OyZ2MnH0P6Wq9SEyUbN7Z3yBJ1eZRz48ZBDE32iPao4jXF+vsf8jrODhZZKbqsN4Pn/h4m8Nw+3szJyfn5SLvnHwKma26mLqOH6WPXF8FtdFQdkxmH7PNoLoNPpc3hhyaKj2gKwiTlO74hm/qgtV+wFv765yYLfNXv+5SsIwdhQdA1TGIkozRPdkvozCh58doQlB1TFxT3zYXexgCQbNPlTk2AAAgAElEQVRsM1dz6Qcx51b6FG2dPzk5Q6VgcmCiSN+PubQ+JE0lZ1a69Mdhf16sfFG+eGgC09C4vDFE15QBWJxlBLFaNTZ1waFmaRw+KNE0QZikY0t9dR0Llk6zvHPtd7UX0CxbPKqmm644TJVsrm6O2BpF1AoWSSrZGKhNoi8emnhoYfOi8fmlCVxL5/fLXTb6IRKYKFm8Ol/jrf31h45abEPn1HyVW51VBkH82C5IEKdseRFfO9KkVsgD/XJyXjby4uRTyKFmiZmqWt/cbXPiDpmUrPUDTs5Wds2ZuZepssO3Ts3yvTNrXFofUC0o0aplaGwOQ86t9mkPI/w4xTU1/vmpWf745IyylTf1XccdYiySvNMdudYecb01YhSlCAFl29hezy1Y+g6xZBCnDIKEjUGAPc5Oma44FG2Dsmvy7VMzfPHw5Pbj+36MRL3enhehCegFyt21M+wTJxkn5yqMwoTiPWOFe3s2rqVzfKaMSLogYXnLp1YwSVLVeTrSLO8Q4K50fdJM8sVDTVZ6Pu/f7DK7Sx6MZWjM1lwyITENleejaxqNosWb++q8c6D+yK/Ni4SmCT6zr86p+Sqbw5BMwkTReqJ8nzcWa9ze8nnvVpf5GjysXPbChOudEcemy3x2aWJvX0BOTs7HQl6cfApxLZ3PHpzgu6dXWd7ymN8lQyaTkmubIxoFi7cPNJ5IPLjYKPDnn5nn97e6nF8dcL09JEoyLq4PGAQJ9aLJTEV1DhxTozju2hyeKnFmpf/AO+KuHzNdtUlSSWsQcml9iJTKFyOTkq1RhKYpY7b2KNpeKW6PIjaHIX6cEsYpVsnm0saQ6+0RmhB86cgkJ+d2CktdS4UB9nyPMM0YBcr6vuIYdP2Y9ijk4saQJJPY40vhhQlCwOWNAbqmjVOHXYpDA9vUmKs5bPRDXEvn4GSRuaqDH6fjkMOQmmvx9WNN3jnQ4NLGkPNrAzYGwQO6HT9KCZKUv/jMAq8t1OiMInRNMFdzHyogfdExdW3XQuxROKbOPz81g64JTq/0KMcJpq7hRQkCgR+nap0bwam5Kn/yysyOYjAnJ+fl4eX8zZbzkXl9oUoYp/zsyibn1vrUXGvbIbbvx/SDmJmqwzeOTT3VzH6yZPPNE9O8c7DBlY0h1zZH9PyYw02T6arDRMliaxSzMbjrM3JitsK1zREfLHdZ74c4psYgSKgVTP74xAxnV/usdH3COGVmfEPTUbqU1jBgrurQ9WM2+iEZkvZQdT4cQ8Mx1bptlma0hhGGrlGwdCr3jQWaJZv9jQIXV/v0vYRMSmquSZBkOKbOZMnBjxJ0TTAKY4ZBzPKWT9k1uLg+BNQNN5OSP5vVmKk4/I9fe5XLGwOutEasdgPWB8oHpWjrfOnwJMdnKhyYKCCE4MhUic8eaPCLq2163oCJko2uCXpexChKOTlX5XNLE1Qc84mNyD6JFG2Df/HaLCdmK5x7f5UgzmgN1HjIMpQPzKm5KoenSi9l2nJOTo4iL04+pQgh+NzSBHM1l/NrfS6sDRkEqhNQcQ0+v9Tg+GzlQ98IK47JZ/bVWWwUuNH2EILtjkCYpJQcYztszTF1vv3qLPsaBZXxE6YcnynzynyV6YpDxwv5+eUh91tcqPVStY2x2ChwaWPA2dU+wViDMgoSbFNnecunZOksNUtMlW3WuuEDvi2aJjgxW+GD5R43Oh6DMKUXJJi6oFG0qLoG64OUZtHmamtIZxRh6hqL9cL29kjPj1jpBiRpRjbu8DQKFvO1Arc6HpahMVV2qLjGAzoITRN8/dgUkyWb07d7rPUD9dpKFl+Zq/L6Yu2l7ZLsNaaucWymTKtkK83Nqf1IJI6p0yzZ+YpwTs4ngPy33aecxUaBxUaBzy/F26nEZcd8rFD2SZks2RyZLvGra52xmZpyNv3CoYkdx3BMnbcPNHj7QOOBYLuvHGlyYW3IhbUBjWKKOU4K9qIEy9AoOQZTZYc4zVjtBmRuNrahV4qQLMuQ6IRJiqlrdL2IKxsPOpEenS7z9oE61zdHQMhkycK1DIqWzjBMcC2d/Y0C51b7BEnKZNlGE2qcMAoT0izj1FyFTKpAw0EQ84Oz61zZGOHHKQVL5+h0iT95ZWbXa6VrgtcXa5yar47t6yUVx8w7AI/A1DX25aF9OTmfOPLiJAfgmfpAfPP4NFXX5NzqAEMTvDJX4c39Dxdx3q9/eWWuyl+8Oc9f/uQql1sqadbQNDKpAv8mikrHEiYZmZRkCAq2ScUxmKk4WIZOlKRsjWLOxX1qBYv2KHrguJah8dUjk1xaH/DD8xssb/k0yxZ9X5m2TZZsrreHFCydxUYNS9fx4xRQ3ab5mstCvYDWauFFCT+60OIXV9rommAQxvS8hJ9d2eRnlzf53NIEx2bKHGo+OH7QNcHkE6RB5+Tk5HxSyYuTnGeOa+l85UiTLx2aRIgHi48n4StHmriWzt++f5vL60OiJGWhXqBZsmkNQ8I45VZnpBxATR3TMVisF7aPZRk6U2VlZBYmKfd3/luDgL/7wyo/v9KmPYwIkww/TrjZSagXLY5Nl1maLFF2DSxD57XFKkixLcYs2Pq266kQauX5b359k76vcoFsU8fUNDTg2qZHkmb8+nqH6YrD2/vrfGZf/ZHr0Dk5OTmfJvLfhjnPnJ4fs9YLiNNMbWnUnAcEqU/C2/sbvLFQ42bH48LagOvtEUkm0RAgJW/sq2EZGu1hRNEyHiiChBAULJ32MNr2BYmSjB9fbPG3v1dFj6ELqo7FYr2AH6e0xwFxtqnx52/OIyVs9EPCWFKydaruTu1IEKckQUKUpJxd6WMbOhXXwNQ1XFuNh7pehD3O3bm4NuDnl9u8c6DOf/zZfQ+NCMjJycn5NJEXJznPjI1BoNaK1wbbuSaGpjFRtDg+W+aNxRoTTzm+MHSNpWaJpWaJNFMrxj+91OJ626M9jOmMYm52fA5NFnf9/GGYULB09jUKREnG986s8b0zqyx3fOaqDuV7io0aMFN12BwEnF7u81e/usl/+uWDzFQdbnX8B7aYkjTjJ5davGGlGLoKHoySDCnhZsdnWfhEaUbRUmJgQ9NwTYOuH/H359a53BryX3zjMK8v1J76Wn8U7tf45OTk5Dxv8uIk55lwq+PxndOr3Gx71ArKXt3QBfE4y+YfL2xwbXPEt1+dZa72dH4Xd0gzyY8ubHB6pcdUyWGiaCGRXN8ccWGjzyt6lbJrIlBurT0/JskkJ+crLNQL/PRSi19faxMnkoJl7ChM7qDcZV3iVPLezS5/f26d1xZqbAxCbrRHzNXcbTfcc6t9Tt/u8dYh1aFplmxW+wFelDAMEpJMMlW22dco7ND3FG2DRiHhWnvE//aPV/iv//TYM7dc3xyGnF3pc3F9QJJJFuouJ2YrLE0W80IlJyfnuZNn6+TsOT0v5ntn1ljueBydLjNXc7cD+2xDZ77mcmSqzI22x3fPrG3n7Dwt1zZHXG4N2dcoMlm2sU2dw80yn19qIKRgYxCw1gtY6/sMA9Uxmas6fP3YFJvDkN8vd7EMnTiTj9V7VFwLQxecud2naOl88/gUZcfkSmvIudUeZ1d7nFvrIwTKrRa1gjxdsdXoSVPGc/WCtaudumsZ7K8XWN7y+L9/u4wXJbucxd5ws+3xf/32Ft8/u0ZrENL3Y355tc3f/O42717rPLPj5uTk5DwpeeckZ885v9bnRnvE4akyhr57/WvqGkvNItc2R1xcH/LWI7Z3HkZroISw9/t/vL5YZ70fkkpJo2hhGRpBnJFlEl0TvH9ri++cXuXKxpBDzRJ+lD5WA6OPrfTDOOPcWp9/9ZkFDk+VuNIa0vcTojRTgtzUQRMjQGlcBALH0Jgs2YyiFPce6/tMSgR3BcJF28Q2Y86v9bm8MeS1ZzDeiZKMH15YZ6UbcHS6vC3iBVje8vjZ5U3ma26ufcnJyXmu5MVJzp4SJRmnV3o4pvFA+N/92IbacDlzu8frC9UHCpk4zeh6MVGaYWriAf8VTVPZNpmUO0IDTV1j/0SBg80iJcvgNzc6pGmGMTZBQ8JaPyBOJVc3R3SGEX0/5mCzuONmfS9hkmIaGtMVh+ubHpvDkMmSzVv7GwB8sNzFNgwc425GUCYzen6MMfZl0YQKPez5MV0vIkzSbdv7WsHEGP+5Mwr59fUOp+aqe24odqM9YnnLZ7FeeOC1ztdczq2pUU9enOTk5DxP8uIkZ0/p+TFbXkz9CVNy6wWT9ihiGCbb446uF3FpY8iZlR6bw0il/CIoOTonZiscnS4zW3VYrBeouRatQbjDybbrRRRtg3f2N7iwPqBgmczXCriWgW1o6JrANjQmyzYl2yBKUtb6IaYuWGg8eNOWUuLHKQsNl1rRpDUM8aN0x2OWOx4VxyDNJEmaYegaUSLHxm8wilKKlk6YZGwOQ5JMYmqCKEkZhglelDJfcylZOp0hXG2NGEXJnnvP9PyYKMl2HWMJIXAMnY1BuKfHzMnJyXla8uIkZ0/JpCTLdnYyHoWuCaI0I8mUm+sflnv8+FKL9V6AZajkXUPXSDPJIIj5+7Pr/PbGFm8s1vjy4UneWKzxi6ttBhtDyo7BKEpI0ow3Futc2xzxh9t9qo7BjbZHP4gxdI1m2SLLJAKBJgQzVZcgzljtBWgaLDaKCNT5Z5lkcxhScVWBI1CW+XfcZ+8wilKqBYvJsoMYbRKlGZ1RhBeOE5Qdg0bRZmMQgITqPUWH6hBFlB2D+rhAi9KMON15jL3gTnfqzubU/cRZhmPmUrScnJznS16c5OwpjqFjGRp+nFJ5gkRYP06xDR3X1Hnv5hb/cG6DIE45NFV6YCxUdU2ymlof/smlTaIk4xvHmkyULE7f7tHzE+ZqLq/MVpgoWfz1725TL5hc3lBZOBXHJE4yrrVGpJnE1DXiVBU9UqoR0c22j5SCqmuSZJI4zbbDCauuSdeLMDUNy9h5bkkmEQL2NQroqTHuTujYphrVTJUd/CglTFLK9s7rYurqeg2ChHrBIpNKqW7qe781s69RYKJksdEPH9iS8qIEDcGh5rPdFMrJycl5HHlxkrOnVAsmS5NFfn1967GhgVJKtryIrxxp0hlF/NPFFlGSsfSIm6MmBNMVB1PX+NX1DpNlm3cONHh9oaa0Kboa2/zg7Br9IKbmmvS8mGbJ3u4atAYhozhitRdg6Eq0qgslXB2ECa1hQNE2qLkmM1WH6YqzPQbZHEYcnFTOtPdSsHTScafD1DRMS+Mbx6d492qHnh/jmDqjKEHKOz2ZnQhUl0YiiZKUZtmmaO39j2ejaPHGQo0fXWxxq+MxVVbpx10vZmMYcGquypGp8p4fNycnJ+dpyIuTnD3n5FyFs6t9Ngchk+WHm6xtDEIqjsmx6fL244/PVh753EGcsuUpHcrAT/jt9Q6vzldxTB1HuxsIeHFNZfDsRpSmeFFKKiVFXccx1Y9B0VbmaGGa4Rgar92XBBwlGWmW8cr8g+LdyXFCbprdHcUYmsZczaU9DEkziW3omLogTiWWcbdEkVKSSknB1hkGCaah8+rC3oth7/Clw5MYuuD9mz2Wuz5pJqm4Bp890OBrx6b2LPQxJycn58Py0hYnQoh/Cfw3wClgDfhr4L+TUo6e64nlsDRZ4q39dX52uU2cZUyVHfR7brRpJlnvq+Terx6ZpOoaXFgbUC9aD9WqREnG1c0hq72AUZiMuwxwc2vERMnmL95c2D6GF6UEiUoBdkydimuyOVKFUJRk9IMEU9eYdgy6XoxpSPQ7GTymhqZB24tY6XocnVbFUiYl1zeHzNddjuxikHZ4qkSjZLE1irjXm3a6YnPDNWmPQiaLFmVHbeNkUo2/0kzijROLy7bBzY7HwWaRLx6a3Jsvxi4YusaXDjd5baHGai8gzeTYk+XRna6cnJycj4uXsjgRQvx74H8C/lfgf0AVKP8tMAf8m+d4ajmApgm+fmwKU9N471aXC+t9XNPA1JX4NYwzJkoWXz82yRcPTXJ2tU9nFHHwIZbzUZLxwXKX210f19RpFC10oToQ19tDvnN6lUbR4hvHptA0sa0fAXBMnVfmKlxaH9IPY4QA19SoOCYlxyDJYBjEFB0DQ2iAACGwdY3VbsDBSVWIXNscMlGy+aMT07tu0ExXHJYmS/zuxhYL9zRsCpbBsZkyZ1b6bI4ipso2GjAIE4ZRgi4EZdtgomix5UU4ls6/fG3umSVE38uzTKLOycnJ+Si8lMUJ8H3gt1LKn47///8TQpjAfy+E+PdSytZzPLcclMjz68enODlX4dLGkCsbQ4IkxTV1Dk2VODJVpjke+YSJMkh7mC/KrS2Pla5Po2hhG3dHDpYhqI+3eX59vcO+RoEj02UsQ1OFUKI8RyZKNrWChRcl+FHK+7e62KaOpevM1xyutFLWegFSSixDp2DpmIbGIEi4sDbA0AULdZdvnph+pB7m5FyF82t9oiTDuue1zFZdBIIL6wO6foRt6riWTpZJEEpr4scpmYTPHmjw1aPNvfgS5OTk5Ly0vJTFiZTy3C5//bvxfw8AeXHyIWkNAm52fOI0o+KYLDWLOOaH1yBMVRymKg5fOvzwMYXgbqdDSskoSskyiWPqCAErXR9T13YUJmw/HiqOyTBI+NlltcJbK1gs1l3ev9ljajyq0McmbgBiXBAAeFGGlBLb0IjSjL4fq3MIYjRNY7Hh8tmDDQ5Plak+ZvvocLPEOwcarF68yf3TqZmqQ9U12RgErHYDhlGybR5XsnVAsFBz+fM35x9rpZ+Tk5PzSUdIufdeCs8DIcR/BfzPQF1K2d3l3x/4u/uolkolvvOd7zyT83sR6PV6AFSr1R1/LyWMwoT2KMSLUqQEQxdYuoZt6tQKJu5HKFAexyhMaA1DdDH2PEmVnkQTYGiCMMnQNbGrHiVKM1xTJ8mUL4hr6hiawNQ1wiTFMvRtPQmARDIIEuLxZo8fp9u29hKVLGzqalW4ZBvMVJ0n9mwBdS07W11SKQmFjWVo3L+fI5FkUj04k8pbxNA06gUzL0yegod9P+fsPfm1/nj4NF3nb33rWwyHw56UctecjufqtiSE+JEQQj7Fx5cf8jwa8K+BX+xWmOQ8nExKOqOQ1Z5PP1Dv5oVQotU4k2o7ZhRtj0ieBXc6M4MgIUwyEKowyaQSt8bp7seWUm5/A0dJhhg/lxCqoNGEIIxTJHcLcIHY9ihJx+KUO9k2WSYxdA0hVKel6ppPVZiA6soYusDQBJom8OMUP05JsoxMqlVhKdWxwkSZzzmGzkTJyguTnJycnDHP+7fhvwXcxz7qLrcf8TyfBb75sE98WHV2ByFEV9f16pe/vGv984ngpz9VEp17X+O7V9u8+/5tbveU+VijOHYoTVLao4ij0yVkAl+fmuLLJ6efyXlFScZ3//YP/O52l6PTZfR7nEv7QcTFtSGzVYf5+s68l9YwUCm/hslvV7dYapb4QqOBpmmcW+nx5r46rWHAe+tD5msuRdugZCuL+UsrPW5uemx5EVteTJKp/B7T0Ki5Jv/uiwf5Z5+Zf2w+0G7cuc6vvvU5Lm8MOHO7z3I/IBprawxN4Do6ByeLnJytcnCy+ICpW87j2e37OefZkF/rj4dP03XW9Ud3459rcSKlfFix8cQIIV4B/hfgf5dS/vCjn9WnhzshfVEqSTO5Q1NhjV1b1/shi/UCl1tDvpFN7VgJ3itudjyE0JiturRHEc2yvT0KqTgWjqWxOVSOpne6HP0gRhOCxUaBUZCQpJKZio2madteI36cIlF+KhfWB2hCMFd12NcosjRRJIozbnV9BkEMCDJDIDTBVMXhxGz5QxUm91J1Td7arwzi1voBQax8UCxDo2jrKoQwJycnJ+cBnnfn5CMhhJgB/g44D/yXz/l0Xjq8KKHvJ5Rtg1V4QMTpmDp+dM9IQkrY1d/0oxHEKYYueHWhwtmVARv9gEbR3i4OGgWLziiiNQypuybDMCWRGUeaJSaLFuv9gMVGgX6QsLzl0fNjhkHMjy+18MIU0xDUXBM/TrnR9ljrBSzUCzimzkLN5fX5KralY2qCxbpLx4v5xZU2R6bKH0kMfAdD11io5ym/OTk5OU/KS1ucCCH2AT8AesB/JKUMnvMpvXQYuoahCQxDpdF6UUrFudstSDOJpsEoVIm597ui7hXu2Cyt7Fi8ulDl4vqALS9CSknBMohTSbNkEyUpl1ohZdtgvu6CUGvGry1UeXW+yq0tn9Wuz+Yw5NrmCCEEBctAJkq/oguNRklHSCjaSuhbcsrbRmt3KFgmKz2fG22PYzO5lXtOTk7Ox81LWZwIIU6gvE4E8J8DR4QQx8b/HEopf/3cTu4lomQbHGwW+eWVNs2yzbXNEZau4Zg6Ukr6QYxr6TTLFq/MPdpW/qOwWC8wV3O4tjniyFSZesGiNQxZ7fps9AMkcKBZZKHuUrJNoiRFCCVYPTpd5sh0iYJl8JlFyd+fW+NnlzfJgAONwo7k3UxKRmHCMEy40fHwYpv52oMdDdvUiNPsmYqAc3JycnIezktZnKA0JgvjP9+vM7mB8jrJeQLeWKxxY9PjVtdjsqzs1zcGGX6cYmgaR6ZLfO3Y1DNNqrUMjS8fnqTvK9OziaK17QRrmzqvzFb41qkZKq75yO7N6ZUe/3SxRZxKZivujsIEVGhg2TGxTY1bHY84yShaBov1u1oWgJ4XU7INaoXcPTUnJyfnefBSFidSyodu5eQ8HQv1At9+bZafXGpxs+OhC8EoTFl0DN7eX+cbx6eeSi8RpxlXWyOutoaMooSqa3Jkqsy+RuGRQXaHp8r82Rsa793scr09IohTpioOp+aqfGZf7bHajzST/GG5R5So1VzjEceydJ2SbeJFCYYmuNYesVArYOqCnh+z2vd5Y7HGfO1pFsl2pz0MGQQJmhDUiiaV3C4+Jycn57G8lMVJzt5ycLLIYt1lectnFCU4ps5ivfDU661BnPL9M2v84XaPIM6wDI0wTnnvZpd3DjT42tHmIwuU/RNF9k8U6XkxcZZRdoxdXWF342bH49aWx2zVoT2KiNMM+xEFjaVr+AiWmkWCJON6e0iaQcnWeX2hxh+fmPlIqcBBnPL/vn+bq60RXpSCgLJjcHymzGsLtTxkLycnJ+cR5MVJDqDEsQceErz3pPzqWpvfXN9ipupQKyi/FCklG4OQn1/ZZKJk8drCI+1mAKh+iHFKZ+xuuzhdYLUXcKvjUXpIl0JKSZCkTJRMGkWbf3ZiipttjyjNaBQsFhuFj7QyPQwTul7Mmd4WEyWV9iuRdL2Yf7rY4vLGkG+dmv3I1zsnJyfnk0ru/JSzJ4zChDMrfUqOsV2YgHJfna44JJnk9Ep/O9Nmr0lSuX28+ZqLY+l0RhH3xzNIKdkcRpRtg8mSQzTOEDo1X+XNfXUOTBY/UmFytTWkPQwJ4hRTF9ur2AXLYK7mcmy6wlov4Ptn1+h60Ud6zTk5OTmfVPLiJGdP6Iwiun68ozC5l7prsdEPGEXJMzn+nRFOmkmmKg7HpsvoGqz1ArpeNO5mRKz2AlxT4/hsBdvUKFp7lxm0vOXxlz+5Sj9IiJKMs6t9fr/c5d1rHX5/awsvStA1waFmiVsdnwtrgz07dk5OTs4nibw4ydkTtHEw3/2dET9KaQ9DukGMBk+dVfOkzNUcGgWL9jAElH7lzX11Dk+XMA2NTCpn1qPTJQ5NlRgEMev9gDSDMEk/8vFvdTz+6tc3Ob3Sx9BUfs9MxWWq7CCA622P9291lQh3vK59ZrVP8pDcoJycnJxPM7nmJOeJyTLJ7a5Pz48pWDqLjcK2i2uzZDNVtlne8qm4JpmUXG0NudXx8OOUnp/w+mKV5BmNdabKDv9/e3ceJeld13v8/a29q6t6X6Znn0wmyWRCyAKEJUAkCEYvKjeCelCUC9dzEZd70XsERcADCqIgesCr4g1RICqbePQSSFgCRMgChGQmk5nMJLNkZnpfqru6qmt7fveP5+lJTU/3TE9vVV39eZ3znOp6nqee51u/6an69m/d3ZPiwWOjdKXjhMzoTMXpTMXZU/anjfec46nhLIcH/Vlo49EwPzwxxth0gVde3bvkWVyLZY9vHBri1FielkT0nJFCs8OXm2JhhqcKHBmc4rnb2knFI2RnSsyUPVKrNLmdiMh6peREFiVfrHDPwQEOD0yRLfgjenZ0Jrntmj46mmPEIiGu397OQGaGk2M5yhWPw4NTmINixSMVDzOVL/O1g4O89votyxoJs5DrtrVxfHSap4ay7O5Jna2lmR11tP9Uxp85FmhPRrlmSxvd6ThPD0/z5f39/Pzzti+qM26hXOHp4WlGs/6ooIHJPI+cHKc7HWd0ev5+JJFQiFQ8wnC2yNRMCeccZrYKiwGIiKx/Sk42OOcc5WClXLtAk8uDT4/y/eNj9LY0sbmtielCmYNnJolHQtx+w1bMjGu3tFIoVXjw2Cj3HxljaqZMezJGR3Ocy3tTJCJhjo1M0z85syJziMy1rSPJq67exL0HBznUPxnUnMSIhEJM5IocH52mUKqQbopyeXcz2zuSmBm7e1Jna1ResKtjwevnixUePTXBgdMZ+jMz/ky1+MOY+zMzTM00kS2UKXuOaPj8smyORxicnGEsV6RQ8rhqU5qmFVi7R0Sk0Sg52aBGs/5KvYf6p5gpV4iFQ+zta+GK3jTd6fg5586UKhwcmCSdiNLR7Hd4TSei9LU2cXw0x9BUgd6WBKGQcdNlnezqamZw0h+x0tfaRFc6RiwcplCuMJ4rkq/qFDtTqvDk4BQnRnM459jSnuTKTWlS8aX9al65KU1zPMxjz0zw5FCWo0NZcP7KxFMzJfb0pNjSkaSvNXF25eNoOEQkFOLYSHbB5CSTL52dwyUeCdPXkiAZxFgoe+RLHmUPsjNlCmVv3hE/ITPMYHqmTDQc4urNLatSgyQist4pOdmAjg5Nce/BQc5MzJCIhklEQ2TKJY6P9vOjkxO8Ym8Pe/ueXV+IargAAB6cSURBVEunVPEoVbzzJmWLRUJMFUrnrUHTnY5z3bY29p/K+ElAUCMzPl0iXTXUeGqmxJf39/NE/xSecxjGD06Ms7s7xU9d20dn6twkabG2tifZ2p7kpmyB0xN5ShWPo0PTPPD0KDdubyMUOr+PR8j8kT7zmSlVuPfgAI+emmBHRzPNcxKn2Sn125MxYhEDpsgVK+TKZZLRZ891OIplj8HJArfu7WFPjxYVFBGZj5KTDaZY8fjqgUGGswX29KbOWX+m4jmOjUxz78EBUvEI2zr8DqLNsQibWhI8fnqSrlT8bF+O4akCnakonalzhw+bGddta+PUeJ7Dg1N0JGPkSxUKFY+bd3fRFSQdPzg+zv7Tk+zoSJ79wi+UKhwenKLtaJSfvm7Lst7rbIdYgO5UghOj00zOlM8b7lzx/EnZZt/vXAdOZzhwOsP2eRITgLZkjHDIKFU8mmNRmiJh8qUKx0em6U4lSERDOAfjuSIV57h+Rxuv3reJphUcxiwi0kiUnKyyYtnDc454JHTBPh1rZbpQpn86z5WbWs5regiH/OncDw1McuB0BvBrWSZyJcoVRzQc4tDAJOl4lOlimVQ8wvN3dpCMnf9rtKc3zU8+Bx45Oc7QVIGuVJxrtrRy44524NmmopZE5Jwv/Hg0fLaT6th08Wwz0nJtbW9iV1czj56aIBYJnY15NiHrDeZGmatU8ThwJkM46NA6n+5UnNamKOPTRbrTccIhIxEJ0ZqIkkqE8TyHh7/a8U27OnjTi3fSNE+ZiYiIT5+Qq2C6UOboUJaD/ZOMTRfBQVM8zNV9LezpSS25uWK5POfIFyu0Bn/pzydkRkcyzreeHOZHpyaYLpSJhcMUKxVCZnQ1x2iOR7m8J8W+LS3zfqHPunJTmj09KfKlCrFI6OywY/CTk0LJmzexScYijE8XyJeWP//I2fcVMm7d20ux7HF0OEul4giFjIrn2NSS4BV7e+iZZ72bE6PTnJmYoSe98L9ZLBLi8p4Uj5+ZZHiqgIv5TT3hkLGjI0lLU5QzE3m2dbTxM9dtVWIiInIR+pRcYUcGp/jmoSHOZGYwg1Q8gpkxMVHi2HCWrnScF+zs5KZdHWveGXJ2ro/kRZoTZucDubI3zWXdKUayBYrlCmPTRcJmvO752xc92iYUsnmbQpKxCOlEhKHJwnm1I5P5Esm4f3wldTTHuP3GrRwdynJydJqS5+hJJ7iid+GEcWy6RL5YJt154XVw+lr98jg6lKXseThgIlfk8OAUV25q4aq+Fl5xVQ+bV2GUkohIo1FysoKeHJziy/v7mciV2NGZPG9F3bLnMZCZ4etPDFLxHC+5vHNNm3r8e9nZdWgWMjzl11p0peLsPz3B4GSBSsXhgBNj0+x4PMmvvmTXsmKJRUI8Z0srd48PBH1XYhgwkSuRyZe4ZXs3LQss3LcciWiYa7a0cs2W1kWdX654i/436mttoisVJzYyStlz9LYk2NOb5vXP28qOzuZzao5ERGRh+rRcIdlCmW8eGiKTL3F5T+q8xAT8ibi2tidpioV54OlRjo/m1jTGSMiIR0KMThcueN5YrkBzLMLkTIkzEzO0NUXpa2uirzVBxXM88szEiixad/32dl60u5NSxePQwCRPDEySLZS4YUcbL97dtezrr4RIOHTe4oEXEg2HiEfCNMci7Ohq5nk72rm8J63ERETkEqjmZIUcGZyiPzPDzs7mi64f09faxMH+SQ71T7Kr68LNBSutOR4h4cKMTBXomqcfxdh0kXgkTGcqRH9mhmg4RMWD/kyefLFMoVRhLFvk1Hh+wUX+FisWCfGqq3vZt7mF0+N5PAd9rQm2dSSXtTLwSmpPRklEw2QL5Uuae8XhcA46mmvTv0hEZD1TcrICnHMcPDOJGefNBbKQjuYYTw5N8aJc57K/5C9FMhbmBZs6+N7To2RmSvSk4ySiYQplj+GpAmXP48eu7GZwssC3nhyiUPYYzRbIFcsUK46Q+TUrTw1nF900ciFmdnZeknq0o7OZLW1NnBrPk+pOLfp1pYpHdzrGnp7Fv0ZERHxKTlZAoewxnitdUh+JlkSE4akCk/nz591YbT92VQ/tzTH2n5qgf3KGUtmfbn1Ta5xrt7Zx/bY2To7lODU+zTcODVP2HOl4hPZkhFgkRNiMZ8ZyzJQqJBp8+vVYJMS+La0cG5kmVyifnRX2QhyOUsVxRW8L7Ss0FFpEZCNRcrICnOOS+iUAGIZz/siYtRYOGTfuaOc5W1rpz+QplD1i4RB9bYmzfWUu607x5pdexlPDOUazBeLRME3REK1NMba1+2vrjGQLdVvjsZKu2dzKseFpHjs9wc7O5nmHP88qlj28YoWmaJjn72xfwyhFRBqHkpMVEIuEiEdDZLOL7yQ6E8z9Ucuah1gkxI4LDJHta23iRbs76c/M0BQNEQ6F6ErFqHgwU65smE6eTbEwr963CQ/H46cnScbC9KQT58zwWix7DGcLZPJFrouG6WiO1Ww+GxGR9U7JyQoIh4yr+1r5yuP9VDy3qM6cw9kCV/WlLzi5V60lYxH29bUwki2wqbWJlkSUXLHM6Ylprt3SRvcG+vJtTUZ5zbWb2d6e5MCZTLBmTwWCxQNDBj3pBDds7yE8NEFknlWJRURkcZScrJA9vSkePh5ncHLmohNtTc2UMIN9fa11vyrtTbs7Gc+VODqc5fR4nlgkxBU9aW65qrvuY19pzfEIL768ixt2tPPUcJaRbJFS2SMSNlqbouzuSdGSiHL/6JFahyoisq4pOVkhvS0Jbtjexn1PDjM0OTPvVOjgz4fyzHiO67e1c8Wm+h/J0ZKI8tobtnBiNEcmXyQZi7Crq7nhO8JeSCIaZt/m5Y9UEhGR+Sk5WUEvubwLzzkePDbGE/3+Cr7pRAQzyBcrDGcL4OD6be28al/vvBO11aNo2F87RkREZC0oOVlBkXCIl1/Rw9b2JAf7J3l6eJr+TB7nIB4Js6c3zb6+Fq7clN7QNQ+yOJ7neGY8x6nxPMWyRzwaYmdnM32tibpY4VpEZLUoOVlhoZCxpzfNnt40w1MFpmZKOKApGmZTS2LD9dOQpRnNFvj6E0McG51maqZECMPD0Zb0J3Z7xVU9pFdh7SERkXqg5GQVdafjdNfxaBypT5lcif94rJ8jQ1Nsbm1ia1sTZobnHOPTRR4+Pkah5PGa524+ZziziEij2BgTVYisI4+dnuDI0BS7u1O0JWNnm3BCZnSm4uzsaOZgv79QoohII1JyIlJH8sUKj5/JkI5HF+wwnYxHCJnx+OkMFW/tZxgWEVltSk5E6sh4rkgmX6YteeH+JG3JKKPTRbKF8hpFJiKydpSciKxD6lYtIo1MyYlIHWlLRmlJRMjkSxc8byJfoiMZo1kdYkWkASk5EakjyViEvX0tTM6UKJa9ec/JFyuUKx77trQQ2SCLL4rIxqJPNpE6c922Ni7rTnF0eIrJqhqU2aHEx0ay7O1rYW9fSw2jFBFZPZrnRKTOtCVj/Jdr+/j6E0McH53m1HgOM8M5R0tTlOu3t/PKq3tJxvTfV0Qakz7dROpQTzrB627cysmxHM+M5ymVPRLRMDs6k2xpa9JMwyLS0JSciNSpSDjEZd0pLuvWoosisrGoz4mIiIjUFSUnIiIiUleUnIiIiEhdUXIiIiIidUXJiYiIiNQVjdaRDaVY9jg2Ms2J0WmmC2VKnqMpGqYrFWdPb4quVLzWIYqIbHhKTmRDyBbKPH46w+NnMpyZmKFQ9oiGQ5hBxXNUPEfnsRh7elJcvbmVXV3NtQ5ZRGTDUnIiDW8kW+CrBwY4PDhFPBKmtyVBc/zcX/2K5xjJFnjg6VEODUzxsiu6uXF7uyY7ExGpASUn0tAmckX+47EzPDWUZVdXikR0/lV8wyGjtyVBTzrOqfE8X3tiEM9z3HRZ5xpHLCIi6hArDatc8bjn8UGODmbZ3Z1eMDGpZmZs60gSNuM7R0c4OjS1BpGKiEg1JSfSsE6M5XhqJMvW9iSxyKX9qm9tTzKZL/HoMxmcc6sUoYiIzEfJiTSsQ/2T5AplWpqiS3p9dyrO8dFpBiZnVjgyERG5ECUn0pBGswWODGXpaF760OD25hjjuRKHB9S0IyKylpScSM2tRrPJSLbIZL5MezK25GuEzEhEQ5yZyK9gZCIicjEarSM1kS9WODqU5dDAJKPTRcJBR9QrN6XZ3pEkvMwhvKWKR9nziISXd51oKESuWFnWNURE5NIoOZE1d3oizz2PD3ByNIcDkrEwzsGJsWl+9Mw412xp5daremmKXXx0zULM/M05YBn5iXNu2YmSiIhcGiUnsqZGsgW+vL+fk6M5dnU1nzO81znHeK7Eg0+P4Rzcds0mIuGltTzGIyGioRClikc4tPQkp1DxaI4v/fUiInLp1OdE1tSPTk5wfGSay3vOnxDNzOhojrGpJcGBMxmOj+aWfJ++1iY6UzGGpwpLvkap4lHxHJd1pZZ8DRERuXTrOjkxs9eZ2VfNbNzMzpjZXWa2q9Zxyfwy+RKHBqZoT8aIXqBGpL05Rq5Q5tDA5JLv1RyPsG9zK1OFEt4SO9yOZAt0p+Ls6UkvOQ4REbl06zY5MbNfBO4AHgZ+GXgPcAtwr5klahiaLGAkW2AiX6Sj+eIjaFqaYjwzlqPiLX0kz57eFO3JpdWelD2PsekiV21K05pc2jwpIiKyNOu5z8m/AN90zg3M7jCzPPAp4Hrge7UKTObnnMM5f4juxYQMPOcvyLfUDqmbWhI8d2sb3zkyTCIapnWRk7FVPMfTQ1l2dCZ57ra2Jd1bRESWbt3WnDjnvOrEJJAMHpfeHiCrpikWIR4JkSuWL3purlghnYgQXcZQYDPzVxfe0U5/Js/wVOGic6oUyhWODE3RnU7wyr299LSoEk5EZK3Zel83JGjC6QNeCXwI+Hfn3BvnOW/iIpdqTaVS3H333asQZX3IZDIAtLa21iyGoakCuWKZZHThSjuHI1+q0NkcJ51YfuWe5xyZfInsTJmy54iEjFgkhJ0dY+woe45SxcMB8UiYjuYY8Utcj2dWPZTzRqByXjsq67Wxkcr5tttuI5vNZpxz81ZP17xZx8zuA15+CS95qXPu/qrnfwP8SvDzJ4FfW6HQZBU0x8LMlCoUKx6xeTrFziYm8UhoWfOcVAuZ0Z6MkYxGyJXK5AoV8qUKzM6B4iAUMpqiYZLxCE3RsOY2ERGpoZrXnJjZFqDpEl5y2jl3dj5xM7sC2Ae8ED8xeQh4jXOueIlxTLS2trZOTFysgmX9uv9+P6e7+eabaxaD5zm+fWSY7z41Sqns0dOSIBWP4DnH+HSRkWyBvtYmbnvOJi7rXp0hvJlciWfGcxTKFSoeRMN+8rJtBWamhfoo541A5bx2VNZrYyOVc1tbG5lMpn5rTpxzp5f5+ieBJ4F/NbMvAg/gJykfW4HwZIWFQsbL9nTT0Rxj/6kMp8ZzDE7mMTNaE1FuuqyTG3a0s6XtUvLVS9OajNKabPxqUxGR9armyclKcs49aGbjwPNqHYssLBQyrt3axr7NrZwez5MtlAmH/AnYutNLX0VYREQaw7pNTszsp4CHnHPDVft2A+34NSlS58IhY3tn8uIniojIhrIukxMzCwHvAHaZ2R34/Ux6gN8HBvE7xoqIiMg6tC7nOXHOecCtwCeA1wOfB96Pn6S8xDnXX8PwREREZBnWZc0JQDAa54+CTURERBrEuqw5ERERkcal5ERERETqipITERERqStKTkRERKSuKDkRERGRuqLkREREROqKkhMRERGpK0pOREREpK4oOREREZG6ouRERERE6oo552odQ10wMw+w1tbWWoeyaiqVCgDhcLjGkTQ2lfPaUDmvHZX12thI5ZzJZACcc27eShIlJwEzK+PXJE3WOpZVNJt5ZWoaReNTOa8NlfPaUVmvjY1Uzi2A55ybd40/JScbiJlNADjn2modSyNTOa8NlfPaUVmvDZXzs9TnREREROqKkhMRERGpK0pOREREpK4oOREREZG6ouRERERE6oqSExEREakrSk5ERESkrmieExEREakrqjkRERGRuqLkREREROqKkhMRERGpK0pOREREpK4oOZGzzOxtZubM7L21jqXRmNlrzOwhM8uZ2dNm9udm1lzruNYzM3uZmX3bzDJm9h0ze3mtY2o0ZtZqZn9rZgNmNhWU88tqHVcjM7NmMztuZht6tIqSEwHAzDYBfwxUah1LozGz3wY+C3wb+HngE8DbgkdZAjN7HvBVYBD4FWAA+EqwX1aAmfUADwLXAX+IX84V4Otmdk0tY2tw7wK21jqIWtNQYgHAzD4FbAEuA+50zr23thE1DjPbC3Q65+6v2vdu4I+AHufccM2CW6fM7C7geuBa51zJzKLAY8APnXNvqG10jcHMDPgl4LPOuUKwrwV4BviUc+43ahlfIwo+Kx4FPg28yTlnNQ6pZlRzIpjZLfgfQu+qcSgNyTn3RHViEvhh8LhzjcNZ98wsAtwOfME5VwIIHr8I3G5m4VrG1yic71OziUmwbxI4AuyqXWSNKUgG/xr4Jn4t64am5GSDM7MY/n+IO51z3611PBvIlcHjkZpGsT71AjHg0Jz9h4A40LPmEW0QZhYCrgAO1zqWBvQG4MXAb9U6kHqg5KQBmNl9QUfWxW43V7387fgf5v+7RuGvG8ss5+rrhIDXA99zzk2s7btoCJuDx9E5+2efb1nDWDaa24A08JVaB9JIzKwN+DDwAeecEj8gUusAZEW8AWi6hPNPA5jZDuDdwNuccyOrEViDWVI5L3CdFwC3LjuijckLHue2x9uc47KCglrWDwPfAe6tcTiN5v1ABvhgrQOpF0pOGoBzbqEvwYv5S+Bh4M6Vi6ZxLaOczzKzfcDHgDucc99YflQbUn/w2Dlnf1fweGYNY9kQqvpDbAFudxpJsWLM7EbgrcCrnHMztY6nXqhZZ4Mys23AzwAvBUpmVjazMrADeHfwfGcNQ2w4wXDtL+P3jXhbjcNZz4aAAnD1nP17gRlAo59W3juANwO/4px7vNbBNJhfx/8u/mrV5/AdAMHzO2oaXY1oKPEGFVTRXjHPoXuAL+H/lfSkc664poE1KDPbjl8VXgBu1fDh5QmGvt8E7KsaSvw48IBz7o21ja6xmNnvAR8Aft059ze1jqfRmNlWoG3O7p8F3gc8B5hwzp1a88BqTM06G1SQdByYu9/MisCQc+68Y7I0wdwF9+D3ifgfwB4zmx2tU3DOPVyz4NavjwD/CfxzkKj8Ev7EVR+taVQNJGjK+VP8zvIfAX4wp5P3EefcYE2CayBB4nFO8jE7meBG/hxWciKy+j7GszM+zu1ncgLNdXLJnHOPmNmrgD8B/gF/ArafcM798MKvlEtwM8+O4nt7sFV7E+qvJqtEzToiIiJSV9QhVkREROqKkhMRERGpK0pOREREpK4oOREREZG6ouRERERE6oqSExEREakrSk5ERESkrig5EWkwZvYFMzsSLMPeUMzMmdmdtY6j0ZnZnUFZN9zvkKwPSk5E1oiZ3RJ84C+0/eolXu/3zOyWeQ5tAXqA+AqEfcnM7CYze28t7h3c35nZlxY4tjM4/t41Dmu+WJQAiCxA09eLrL3PAF+ZZ//3FnsBMwsBfwy8H7hvzuGXADHnXH6pAS7Tq4H3AO+t0f1FZJ1TciKy9r7vnPv0Mq/RBoTnO+CcqwC1SkwAump4bxFpAGrWEalDZvYKM/u2mWXM7JiZ/YOZ7QqO3QmMBqe+p6pZaGdw/Etm5uZc7z4z+zcz6zSzvzWz02Y2ZGZ/YmYhM9tmZp80s8Ggv8pb5onpajP7P2b2AzPLmtmjZvamquM7g/v+ZvB8Nq47q84Jmdn/NLPvm9lUcK23BivgVt8rbGbvMLP9QRl83cxeuAJFex7zvdXMDpjZtJk9FpRLes55e4L+PANB+X3ezHbMOec+M/uimXUE5TlhZn+1AjG+2sy+GZTFYTP7CzNLBsduCsr5nfO87hXBsV+o2rcpaFI6bmYjZna3mV273BhFVpKSE5G1lzKzrjlbcvagme0D7gY6gN8H/h64AfjD4JS/A94V/PyvwC8H28hF7vtc4CEgDXwAf0XkdwIfBv4TKOI3FQF8woJl24OYdgCPBtf4f8HrZoA7zOy1wWkjQRyzKwPPxvV3wTUM+Dz+SsL34694+0P8VZv/aE6snwliPAn8AfBIUCar4c3AXwPH8FfevRv478Ds+8LMXhzEsAX4IPAXwDXAD82se871tgP/BiSAdwD/uJzgzOy3g5iGgut9Dn9F4LuDMn0IeBq4fZ6X/xyQA/49uNblwH7gJuDjwPvwf88eNrO9y4lTZEU557Rp07YGG3AL4BbYfrfqvP8V7Puxqn1hIF71/LrgnPfOc58v+f+1z9l3H+ABv1y1b0dwjRzw41X7Xxrs/9Cca1xNsJJ58DwNTAH3Xuz+wf43ABXg5jn73x3E0Bk8/4ng/n87536XBfvvvEg5O+BLCxzbObfc8BOJHJCq2pes+jkGHAS+DISq9rfj12D96ZxydsDHF/H7cGdwbtsFzrkcPwl8x5z9Lwtee1vw/H3B851zfmcGgLuC5wbcC/wIaJrz/g4D/3IpsWnTtpqbak5E1t7fAD8+Z/tc1fH9wePrzCwFfj8S51xhmfeddM59avaJc+4E/pfrk865e6vOeyR43Fb9YufcQeec/y3nd8jtAU4BexZ5/18FHgYOVdca4dfaNOHXRAD8YvD4h7P3C5xZ5H0u1f7g/j9nZmEA51yu6vjzgb34NVgdVXGHge8DL5hzvRLP1nIt18/j13DfNafMngCyVfe+K3j8r1WvfQnQC/xT8Hwz8Ergk0Bz1bVagG/P8z5EakYdYkXW3mHn3NcWOuic+5qZ/Sb+iJc3mNnfAx9xzp1ehViy89w/G3QBaareH/TB+AXgjcCNwAR+7Ullkfe6Fj+hGV7g+Obg8WrgGefc0CKvO1eFBToLV+0vV+17H9CJ3/z0HjP7KPD3zrnpqrgBvrDANZ+c8zznnBu7tJAXdC0QxW+Cm89mAOfcE2b2CH7TzkeCY7fj/xt9tepaAB8NtrmKKxGwyEpQciJSh5xzHzOzTwJvwe8H8Rtm9g7n3F/UIh4z24zfJJDA7wvyWufciJndh9/EtBgh4DHgdxY4/mjwGGXxCc98TgB9CxzbEjwem90R1Ei91czej1/W7wfeZWY/55z7Fs/2zfvdqhirTS0j1osJ4TfH/STzl8nJqp8/A/x58G81gJ+cfME5N5t0zL6PPwPumeda5Xn2idSEkhOROhX85f6XZvbXwBeBj5jZZ+bUKKxV0+zbgauAbc65RTWvmFnIOedV7ToQXOM+59yFvgifBl5jZinn3Hk1O4twFLjJzOLzNIVdU3XOOYKaqd8xsw/hdzL9eHD+geCU/IVqvFbJAfxOrc845w5e5Nx/wU88fhr4AX4i9k9Vx2ffBzV4HyKXRH1OROqMmV0Z/PULgHOuhN8vA/w+BPDsUOK1GmFxBTCNP2IEADPbjd9Jda6FYvs0sIl5ak7MLFb19B78P5x+Y85pP7HIWL8AtM59fdB/53fxa00erdr/IjM724TlnBvE79MxW/vyEH4y8865I3PmxL0aPoffh+WDZha90L2dc6eAbwE/i5+gDHDuBH0n8UdJvTUYtVN9rejc4dyzh5b7BkSWQjUnImvveWb2S/Psf9I59xD+MNWXmtld+F+iPfg1F4/hf2kCnMbv6/CTZvZ2/JEVnwu+oFbDt4DX4A9f/XfgSuD1wBh+h8pq3wD+G/BnZvY5oOic+wxwB/4X5weDoblfxx8pciv+l+Bs8nEH8FvAB8xsD34H3RcCt+EnSBfzf4P7/7mZXQd8F3+47Fvwh/n+jHNuBsDMWvBHF+XM7PPAEfxh26/GrznBOZc3szfjz+p7IOgDdBJ/JM0bzexnnXOLnt13Hr9mZrk5+8acc3c55w6a2R8AHwIeDMpzEr/PzyvN7DnOuUzV6z6DPyz6cuCzzp+Qj+B9OPPnr/ku/hDoT+D/Dm3DH0n1TuCfZ+8fPL4FvzZGZG3VeriQNm0bZePCQ4kd8LHgvDj+fBb34/dnOIn/hb15zvWuBx7A79R6AHh5sH+hocQT88R0HPjRPPvPGY6L/4fMh4FBoB+/ueAq/PlJJua8NgL8KX4CNQr8Y9WxEPC2IO4p/FqMzwLPn3ONNvwk4wR+DcCn8ROLB7jIUOLg9Qn8DsWP4Sc0p/DnZ7lhnnM34c+18ij+kOLD+KNt4nPO243/5X0siP0h/Llami9WzgvEeOcFfhcOzDn3Vvw+P8P4tVdfw2/uCc05rx0oBNd44QL37cUfeXQ4KJtH8PvZdFSdczXwFJChatixNm1rtZlz50wkKSIiIlJT6nMiIiIidUXJiYiIiNQVJSciIiJSV5SciIiISF1RciIiIiJ1RcmJiIiI1BUlJyIiIlJXlJyIiIhIXVFyIiIiInVFyYmIiIjUlf8P8IjVbaGNEO8AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"ax.scatter(user_levels, true_user_levels, s=df[\"user\"].value_counts() ** 2, alpha=.4)\n",
"ax.set_xlabel(\"Estimated User Level\")\n",
"ax.set_ylabel(\"True User Level\")\n",
"ax.grid()\n",
"fig.tight_layout()\n",
"\n",
"fig.savefig(\"./online_user.png\", dpi=120)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f17fa976950>"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(problem_disc, true_problem_disc)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"user_level_logs = [x for x, _ in snapshots]\n",
"problem_level_logs = [x for _, x in snapshots]"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"661 22\n",
"298 21\n",
"984 21\n",
"415 20\n",
"178 20\n",
"Name: user, dtype: int64"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[\"user\"].value_counts().head()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-3.0, 3.0)"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"i = 675\n",
"fig, ax = plt.subplots(figsize=(4, 4))\n",
"ax.plot([0, len(user_level_logs)], [true_user_levels[i]] * 2)\n",
"ax.plot(np.array(user_level_logs)[:, i])\n",
"ax.set_ylim([-3, 3])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ユーザの能力推定値の推移\n",
"\n",
"ユーザの推定能力値は時系列に伴って逐次更新されます。実用上はステップ数が増えると正しい推定値を得てほしいですよね?\n",
"\n",
"ステップごとの変遷を見るため、online の更新 100 回ごとに各々のユーザの推定能力値を可視化したものが以下の図です。黒い点線がそのユーザの真の能力で、青い線がステップごとの推定値の遷移です。これを見ると大体の値は推定できていますがたまに大きくハズレた推定をしてしまっているものがあることがわかります。これは online 更新だと今までの回答履歴等を考慮していないため、ある難しい問題にたまたま正解したりすると急に値が増えたり逆に減ったりする可能性があるためです。"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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