"
]
},
"metadata": {},
"execution_count": 3
}
],
"source": [
"Image(url='https://git.io/Jts3p', width=500)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "k-qGorKc1tKT"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UgnD_IoV1tKT"
},
"source": [
"# 주택 데이터셋 탐색"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KGredWvS1tKU"
},
"source": [
"## 데이터프레임으로 주택 데이터셋 읽기"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yMZ0zxuJ1tKU"
},
"source": [
"Description, which was previously available at: [https://archive.ics.uci.edu/ml/datasets/Housing](https://archive.ics.uci.edu/ml/datasets/Housing)\n",
"\n",
"Attributes:\n",
" \n",
"\n",
"1. CRIM per capita crime rate by town\n",
"2. ZN proportion of residential land zoned for lots over\n",
" 25,000 sq.ft.\n",
"3. INDUS proportion of non-retail business acres per town\n",
"4. CHAS Charles River dummy variable (= 1 if tract bounds\n",
" river; 0 otherwise)\n",
"5. NOX nitric oxides concentration (parts per 10 million)\n",
"6. RM average number of rooms per dwelling\n",
"7. AGE proportion of owner-occupied units built prior to 1940\n",
"8. DIS weighted distances to five Boston employment centres\n",
"9. RAD index of accessibility to radial highways\n",
"10. TAX full-value property-tax rate per $10,000\n",
"11. PTRATIO pupil-teacher ratio by town\n",
"12. B 1000(Bk - 0.63)^2 where Bk is the proportion of blacks\n",
" by town\n",
"13. LSTAT % lower status of the population\n",
"14. MEDV Median value of owner-occupied homes in $1000s\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 290
},
"id": "aQR7x5yN1tKU",
"outputId": "781e95d8-1dc6-4be9-e076-d91c85765088"
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<>:7: SyntaxWarning: invalid escape sequence '\\s'\n",
"<>:7: SyntaxWarning: invalid escape sequence '\\s'\n",
"/tmp/ipython-input-979934395.py:7: SyntaxWarning: invalid escape sequence '\\s'\n",
" sep='\\s+')\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
" CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n",
"0 0.00632 18.0 2.31 0 0.538 6.575 65.2 4.0900 1 296.0 \n",
"1 0.02731 0.0 7.07 0 0.469 6.421 78.9 4.9671 2 242.0 \n",
"2 0.02729 0.0 7.07 0 0.469 7.185 61.1 4.9671 2 242.0 \n",
"3 0.03237 0.0 2.18 0 0.458 6.998 45.8 6.0622 3 222.0 \n",
"4 0.06905 0.0 2.18 0 0.458 7.147 54.2 6.0622 3 222.0 \n",
"\n",
" PTRATIO B LSTAT MEDV \n",
"0 15.3 396.90 4.98 24.0 \n",
"1 17.8 396.90 9.14 21.6 \n",
"2 17.8 392.83 4.03 34.7 \n",
"3 18.7 394.63 2.94 33.4 \n",
"4 18.7 396.90 5.33 36.2 "
],
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"\n",
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\n",
" \n",
" \n",
" \n",
" CRIM \n",
" ZN \n",
" INDUS \n",
" CHAS \n",
" NOX \n",
" RM \n",
" AGE \n",
" DIS \n",
" RAD \n",
" TAX \n",
" PTRATIO \n",
" B \n",
" LSTAT \n",
" MEDV \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
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" 2.31 \n",
" 0 \n",
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" 396.90 \n",
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" 0.02731 \n",
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" 78.9 \n",
" 4.9671 \n",
" 2 \n",
" 242.0 \n",
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" 7.185 \n",
" 61.1 \n",
" 4.9671 \n",
" 2 \n",
" 242.0 \n",
" 17.8 \n",
" 392.83 \n",
" 4.03 \n",
" 34.7 \n",
" \n",
" \n",
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" 0 \n",
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" 6.998 \n",
" 45.8 \n",
" 6.0622 \n",
" 3 \n",
" 222.0 \n",
" 18.7 \n",
" 394.63 \n",
" 2.94 \n",
" 33.4 \n",
" \n",
" \n",
" 4 \n",
" 0.06905 \n",
" 0.0 \n",
" 2.18 \n",
" 0 \n",
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" 7.147 \n",
" 54.2 \n",
" 6.0622 \n",
" 3 \n",
" 222.0 \n",
" 18.7 \n",
" 396.90 \n",
" 5.33 \n",
" 36.2 \n",
" \n",
" \n",
"
\n",
"
\n",
"
\n",
"
\n"
],
"application/vnd.google.colaboratory.intrinsic+json": {
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"summary": "{\n \"name\": \"df\",\n \"rows\": 506,\n \"fields\": [\n {\n \"column\": \"CRIM\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 8.601545105332487,\n \"min\": 0.00632,\n \"max\": 88.9762,\n \"num_unique_values\": 504,\n \"samples\": [\n 0.09178,\n 0.05644,\n 0.10574\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"ZN\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 23.322452994515036,\n \"min\": 0.0,\n \"max\": 100.0,\n \"num_unique_values\": 26,\n \"samples\": [\n 25.0,\n 30.0,\n 18.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"INDUS\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 6.8603529408975845,\n \"min\": 0.46,\n \"max\": 27.74,\n \"num_unique_values\": 76,\n \"samples\": [\n 8.14,\n 1.47,\n 1.22\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"CHAS\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 1,\n \"num_unique_values\": 2,\n \"samples\": [\n 1,\n 0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"NOX\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.11587767566755611,\n \"min\": 0.385,\n \"max\": 0.871,\n \"num_unique_values\": 81,\n \"samples\": [\n 0.401,\n 0.538\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"RM\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.7026171434153237,\n \"min\": 3.561,\n \"max\": 8.78,\n \"num_unique_values\": 446,\n \"samples\": [\n 6.849,\n 4.88\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"AGE\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 28.148861406903638,\n \"min\": 2.9,\n \"max\": 100.0,\n \"num_unique_values\": 356,\n \"samples\": [\n 51.8,\n 33.8\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"DIS\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 2.1057101266276104,\n \"min\": 1.1296,\n \"max\": 12.1265,\n \"num_unique_values\": 412,\n \"samples\": [\n 2.2955,\n 4.2515\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"RAD\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 8,\n \"min\": 1,\n \"max\": 24,\n \"num_unique_values\": 9,\n \"samples\": [\n 7,\n 2\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"TAX\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 168.53711605495926,\n \"min\": 187.0,\n \"max\": 711.0,\n \"num_unique_values\": 66,\n \"samples\": [\n 370.0,\n 666.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"PTRATIO\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 2.164945523714446,\n \"min\": 12.6,\n \"max\": 22.0,\n \"num_unique_values\": 46,\n \"samples\": [\n 19.6,\n 15.6\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"B\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 91.29486438415779,\n \"min\": 0.32,\n \"max\": 396.9,\n \"num_unique_values\": 357,\n \"samples\": [\n 396.24,\n 395.11\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"LSTAT\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 7.141061511348571,\n \"min\": 1.73,\n \"max\": 37.97,\n \"num_unique_values\": 455,\n \"samples\": [\n 6.15,\n 4.32\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"MEDV\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 9.19710408737982,\n \"min\": 5.0,\n \"max\": 50.0,\n \"num_unique_values\": 229,\n \"samples\": [\n 14.1,\n 22.5\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}"
}
},
"metadata": {},
"execution_count": 4
}
],
"source": [
"import pandas as pd\n",
"\n",
"df = pd.read_csv('https://raw.githubusercontent.com/rasbt/'\n",
" 'python-machine-learning-book-3rd-edition/'\n",
" 'master/ch10/housing.data.txt',\n",
" header=None,\n",
" sep='\\s+')\n",
"\n",
"df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS',\n",
" 'NOX', 'RM', 'AGE', 'DIS', 'RAD',\n",
" 'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "b-E-DjQN1tKU"
},
"source": [
" \n",
"\n",
"### 노트:\n",
"\n",
"주택 데이터셋(그리고 책에서 사용하는 다른 모든 데이터셋)은 책의 깃허브에 포함되어 있습니다. 인터넷\n",
"을 사용하지 않을 때나 깃허브(https://raw.githubusercontent.com/rickiepark/python-machine-learningbook-3rd-edition/master/ch10/housing.data.txt )에 접속되지 않을 때 사용할 수 있습니다. 예를 들어\n",
"로컬 디렉터리에서 주택 데이터셋을 로드하려면 첫 번째 코드를 두 번째 코드처럼 바꿉니다.\n",
"\n",
"```\n",
"df = pd.read_csv('https://raw.githubusercontent.com/rickiepark/'\n",
" 'python-machine-learning-book-3rd-edition'\n",
" '/master/ch10/housing.data.txt',\n",
" sep='\\s+')\n",
"```\n",
"\n",
"in the following code example by\n",
"\n",
"```\n",
"df = pd.read_csv('./housing.data', sep='\\s+')\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7cFgvZQo1tKU"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3E8VVxoW1tKV"
},
"source": [
"## 데이터셋의 중요 특징 시각화"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dkPbWUdJ1tKV"
},
"source": [
"`mlxtend`를 설치합니다."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "-rbh3t_I1tKV",
"outputId": "eaed9fad-1ece-46b7-c594-6985217006e6"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Requirement already satisfied: mlxtend in /usr/local/lib/python3.12/dist-packages (0.23.4)\n",
"Requirement already satisfied: scipy>=1.2.1 in /usr/local/lib/python3.12/dist-packages (from mlxtend) (1.16.1)\n",
"Requirement already satisfied: numpy>=1.16.2 in /usr/local/lib/python3.12/dist-packages (from mlxtend) (2.0.2)\n",
"Requirement already satisfied: pandas>=0.24.2 in /usr/local/lib/python3.12/dist-packages (from mlxtend) (2.2.2)\n",
"Requirement already satisfied: scikit-learn>=1.3.1 in /usr/local/lib/python3.12/dist-packages (from mlxtend) (1.6.1)\n",
"Requirement already satisfied: matplotlib>=3.0.0 in /usr/local/lib/python3.12/dist-packages (from mlxtend) (3.10.0)\n",
"Requirement already satisfied: joblib>=0.13.2 in /usr/local/lib/python3.12/dist-packages (from mlxtend) (1.5.1)\n",
"Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.12/dist-packages (from matplotlib>=3.0.0->mlxtend) (1.3.3)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.12/dist-packages (from matplotlib>=3.0.0->mlxtend) (0.12.1)\n",
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"Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.12/dist-packages (from matplotlib>=3.0.0->mlxtend) (25.0)\n",
"Requirement already satisfied: pillow>=8 in /usr/local/lib/python3.12/dist-packages (from matplotlib>=3.0.0->mlxtend) (11.3.0)\n",
"Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.12/dist-packages (from matplotlib>=3.0.0->mlxtend) (3.2.3)\n",
"Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.12/dist-packages (from matplotlib>=3.0.0->mlxtend) (2.9.0.post0)\n",
"Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.12/dist-packages (from pandas>=0.24.2->mlxtend) (2025.2)\n",
"Requirement already satisfied: tzdata>=2022.7 in /usr/local/lib/python3.12/dist-packages (from pandas>=0.24.2->mlxtend) (2025.2)\n",
"Requirement already satisfied: threadpoolctl>=3.1.0 in /usr/local/lib/python3.12/dist-packages (from scikit-learn>=1.3.1->mlxtend) (3.6.0)\n",
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]
}
],
"source": [
"!pip install --upgrade mlxtend"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"id": "ovQejiCk1tKV"
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from mlxtend.plotting import scatterplotmatrix"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 807
},
"id": "lZm944Yd1tKV",
"outputId": "c41e7044-fc27-4ac9-ade3-b328f2f20fe8"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n",
"\n",
"scatterplotmatrix(df[cols].values, figsize=(10, 8),\n",
" names=cols, alpha=0.5)\n",
"plt.tight_layout()\n",
"# plt.savefig('images/10_03.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 462
},
"id": "ktKWoNJU1tKV",
"outputId": "48035df9-2fba-4935-fcf6-ef8308c02a4f"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"import numpy as np\n",
"from mlxtend.plotting import heatmap\n",
"\n",
"\n",
"cm = np.corrcoef(df[cols].values.T)\n",
"hm = heatmap(cm, row_names=cols, column_names=cols)\n",
"\n",
"# plt.savefig('images/10_04.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yKrHqvSi1tKW"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6obs7V3b1tKW"
},
"source": [
"# 최소 제곱 선형 회귀 모델 구현"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "JbjbG-w01tKW"
},
"source": [
"..."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Nr9oo_tM1tKW"
},
"source": [
"## 경사 하강법으로 회귀 모델의 파라미터 구하기"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"id": "b95U6rmm1tKW"
},
"outputs": [],
"source": [
"class LinearRegressionGD(object):\n",
"\n",
" def __init__(self, eta=0.001, n_iter=20):\n",
" self.eta = eta\n",
" self.n_iter = n_iter\n",
"\n",
" def fit(self, X, y):\n",
" self.w_ = np.zeros(1 + X.shape[1])\n",
" self.cost_ = []\n",
"\n",
" for i in range(self.n_iter):\n",
" output = self.net_input(X)\n",
" errors = (y - output)\n",
" self.w_[1:] += self.eta * X.T.dot(errors)\n",
" self.w_[0] += self.eta * errors.sum()\n",
" cost = (errors**2).sum() / 2.0\n",
" self.cost_.append(cost)\n",
" return self\n",
"\n",
" def net_input(self, X):\n",
" return np.dot(X, self.w_[1:]) + self.w_[0]\n",
"\n",
" def predict(self, X):\n",
" return self.net_input(X)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"id": "NJbc8JKd1tKW"
},
"outputs": [],
"source": [
"X = df[['RM']].values\n",
"y = df['MEDV'].values"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"id": "MGjlL_aW1tKW"
},
"outputs": [],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"\n",
"sc_x = StandardScaler()\n",
"sc_y = StandardScaler()\n",
"X_std = sc_x.fit_transform(X)\n",
"y_std = sc_y.fit_transform(y[:, np.newaxis]).flatten()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "f5KF2XhI1tKW",
"outputId": "786fa999-0dde-451d-c032-9fae3b7c91cc"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<__main__.LinearRegressionGD at 0x7dad9089a540>"
]
},
"metadata": {},
"execution_count": 12
}
],
"source": [
"lr = LinearRegressionGD()\n",
"lr.fit(X_std, y_std)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 487
},
"id": "0-AFIm3I1tKY",
"outputId": "57ab70ce-64a7-46d9-eccc-085d058d3b5d"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"plt.plot(range(1, lr.n_iter+1), lr.cost_)\n",
"plt.ylabel('SSE')\n",
"plt.xlabel('Epoch')\n",
"plt.tight_layout()\n",
"# plt.savefig('images/10_05.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"id": "J4CGc2r31tKY"
},
"outputs": [],
"source": [
"def lin_regplot(X, y, model):\n",
" plt.scatter(X, y, c='steelblue', edgecolor='white', s=70)\n",
" plt.plot(X, model.predict(X), color='black', lw=2)\n",
" return"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"id": "Fq6rKnT-1tKY",
"outputId": "71440e77-4988-4073-e193-3a711db4752a"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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ioV1hllBcXIyAgADe9latWiEjIwNubvYrwxV6/xb0bh07dgxJSUlm000RERH46KOPHFLQEARBEPZHxbLo0SYYeYXlgozmbt2vwOmrBVi8OVVTD2MpztI2bQ9B8+WXXxoUNFu2bMH169ftKmjE4BxREgRBEC6BhGEQHeyLH45kCjKa25+eg3E9W2PxltQG17o4etu0Pdrcy8vL4ePjw9seEBCA27dvO10zkCBRM2/ePMEHXLp0qcXBEARBEK4NwzCQSiAqY9LMU32rauiIAEdum7ZHm/sPP/yAiRMnGtz+1FNPWeUcjY0gUXP27Fmdn8+cOYO6ujq0a9cOAHDlyhVIpVJ0797d+hESBEEQLoXYjEl5VR0A3REBsGB5xlHbpoHG7cqqrq5GSEgISkpKeI+Vl5fD29u7weewF4Jqag4cOKD5l5ycjEGDBiEnJwdnzpzBmTNnkJ2djcGDByMpKcnW8RIEQRBODpcxMSdDGABDFXIcv5Kv2cbVuqw/nImVO85j/eFM3C2pAgBB9TaWTvi2JSzLIr+4UlCN0Z3iygbFtmXLFnh6evIEzZdffgmWZZ1a0AAW1NQsWbIEe/bsQWBgoGZbYGAg3n//fSQmJmL+/PlWDZAgCIJwLcRkTMICvbFo04PVgiBfGcqq6nQ6mMQszzjimITGGGZZV1eHNm3aICsri/dYUVER/P39RR3PUREtakpKSnD37l3e9rt376K0tNQqQREEQRCujRCjuVlJCuw5l43LeUWa7fqZG0D88owlE75tia27svbt24fhw4fzti9ZskRUzawzIFrUPPLII5g2bRqWLFmCXr16AQBOnDiBl19+GY8++qjVAyQIgiBcD1MZk6EKdYZmz7lsLN+ernmOocyNNmILicVO+LYVlnRlSQCz9UQqlQrdunVDamoq77G7d++iRYsWDQnbIREtar744gssWLAAEydORG1trfogbm549tln8cknn1g9QIIgCMI1MZQxqapV4sjF21i06axOhsZQ5kafhizP2BOxXVk37pRi2+ksk+3ef/zxB/r168c7xltvvYW3337b6q/BURAtary9vfGf//wHn3zyCa5evQoAaNOmDZo1a2b14AiCIAjXh8uYsCwLLw83xLdqjttFFYht6adT66KfuTGEPU3zLEVsV9b7v5zRCDv9eiJAPT370KFDvOfn5ua6/HxGi833bt26hVu3bmHgwIHw8mr8wiqCIAiCjz3caK2FsVoXBsDOM1lmBQ1gH9M8a2BJjRGgW080JFK93KTPnDlzsGzZMlu/BIdAtKi5d+8e/va3v+HAgQNgGAYZGRmIiYnBs88+i8DAQCxZssQWcRIEQRAmsIcbra3Qr3VhWRbd2gSDARzONM9aCOnKMpWp+verL2LBxWO87devX0erVq1sG7wDIVrUzJ07F+7u7sjKykKHDh0025988knMmzePRA1BEEQjYw832sbEkU3zrImxTNWNO6U6S07alN/NxtFPX+RtnzZtGlavXm3rkB0O0aJmz5492L17N+Ryuc72uLg43Lx502qBEQRBEMJoTDdaeyFkeYYzzXNG4aaNdqZKAmDb6SyDgub8r8uRd3Yfb/vFixfRvn17G0fpmIgWNcYslAsLC51u8BVBEISzw7Is7pRUCXKjbcjcJHvjiKZ5jYGhdu+K+7dxZNlzvH17DEzE8QM7IZUIGhbgkoh+5QMGDMDatWs1PzMMA5VKhX//+98YPHiwVYPTZtGiRejZsyd8fX0REhKC8ePH4/LlyzY7H0EQhDMg1o1W1Yj2/9ZGf3lm5ujOmNA/FsF+njqPuxL6IyUu7fjSoKDp++JKbN/ym1PWE1kT0Zmaf//73xg6dChOnTqFmpoa/N///R8uXLiAwsJCHD161BYxAgAOHTqEl156CT179kRdXR1ee+01JCYm4q+//qJ2coIgmiy2dqN1RBzFNK8x4OqJeso98P70RN7jQa3j0X3qB5qC8KaOaFHTuXNnXLlyBatWrYKvry/Kysrw6KOP4qWXXkJYWJgtYgQA7Nq1S+fnNWvWICQkBKdPn8bAgQMNPqe6uhrV1Q9+2Q1NJCUIgnBmLHGjdXUh4Gq8+eabeP+993jbez2/GIGR7V2qnqihWORT4+/vj9dff93asYiiuLgYABAUFGR0n0WLFuGdd95prJAIgiAaHbFutK6QqWkqFBQUIDg4mLe9VdtOmL34e7Tw93LpeiJLEF1TExMTg2nTpulkQAD1xY+JibFaYKZQqVSYM2cO+vXrh86dOxvdb+HChSguLtb8y87ObpT4CIIgGgvtdmdTcO3OdONzDpYsWWJQ0OzduxeZF9Mwe0y8y9cTWYLoTM2NGzfg5uaGAQMGYMuWLWjZsiUAQKlUNlpL90svvYTz58/jyJEjJveTyWTUkUUQhMvTlNqdG4IzuC0XFxcjICCAt71169a4cuUK3Nwe3LZpGZGPaFHDMAx27dqFBQsWoHv37vjtt9/Qs2dPW8RmkBkzZmDbtm1ISUnheeUQBEE0RZpqu7NQnMVt+csvv8QLL7zA275lyxYkJyfbISLnQ7SoYVkWPj4+2LRpExYuXIhBgwbhyy+/xPDhw20Rn855Z86ciV9//RUHDx5E69atbXo+giAIZ8KYGy1XQ+MIN2174Axuy+Xl5fDx8eFtDwgIwO3bt2nFQQSia2q03/RFixbhyy+/xPPPP4+FCxdaNTB9XnrpJaxbtw7r16+Hr68vbt++jdu3b6OystKm5yUIgnAmGIaBVCLR+W9TRsIwWLY1HXv1BA3wwG15+bZ0u12n9evXGxQ0P/zwA+7fv0+CRiQMy4pzYpJIJLh9+zZCQkI0244dO4ZHHnkEd+/ehVKptHqQgHEF/c0332Dq1KmCjlFSUgJ/f38UFxfDz8/PitERBEEQjgbntjxl5e9mO8PWzhrSqG7L1dXVCA4ORmlpKe8xY879TRmh92/RmRqVSqUjaACgb9++SE1Nxe+//y4+UoGw9SlE/X9CBQ1BEATRtHBUt+XNmzfD09OTJ2i+/PJLsCxLgqYBWORTY4jQ0FCEhoZa63AEQRAE0SAczW25rq4Obdq0QVZWFu8xWkGwDoJETbdu3bB//34EBgaia9euJtNzZ86csVpwBEEQBGEp9nJbNtQ6vn//foMNNUuWLMG8efMafE5CjSBRM27cOE2x0vjx420ZD0EQBEFYhcZ2WzbUOh7g7Y5PZv0NF86n8/YvKChA8+bNG3ROQhfRhcLODBUKEwRBND0Wb07F3rQco48nJsgxf2xCg87BtY4v25quaR0vyrqIk/97mbfv22+/jbfeeqtB52tqCL1/W62mhiAIgiAcjcZyW5YwDBZvSVO3jrMsTn2zEPdvnOftl5eXZ9Phz00dQaImMDBQ8JtdWFjYoIAIgiAIwlo0htsy1zq+Ly0HJbeu4vjns3n7RD80Hu1HPgepd4DDOBi7IoJEzfLlyzX/f+/ePbz//vsYMWIE+vbtC0DtU7N7927861//skmQBEEQROPiDHOShGJrt2UVy2L32SycWf8+7l46znt8wNyv4RUYqmkdn9A/luY22QjRNTWPPfYYBg8ejBkzZuhsX7VqFfbt24fffvvNmvFZFaqpIQiCMA13s88vrnToOUmOxF9//YVOnTrxtkd0S0Sn8bN0tiV1i8LM0Z3pGopE6P1btKjx8fHBuXPnEBsbq7M9MzMTXbp0QVlZmWURNwIkagiCIIxjqNiVgwEezEly4qyNtZk2bRrWrFnD275680GcK3DDpdwine2TB8WpMzUS0d63TRqbOQo3b94cmzdv5m3fvHkztaYRBEE4MY4+J8mRuH79OhiG4QmahIeGYe3Byxg5oCdWTO+H+cnxkErql7lgndZxwjiiu5/eeecdPPfcczh48CB69+4NADhx4gR27dqFr776yuoBEgRBEJYhpi6GK3bNuVeGl8cloHdcKJp5uqG8qg4nMvKx9dRNXMotwt7UHEwe1LZR5yQ5GnPmzMGKFSt42/v+cyV8W8ZgXUqGZgL47DEKAMCSrWkYniBHiL9XY4fbpBAtaqZOnYoOHTpg5cqV2LRpEwCgQ4cOOHLkiEbkEARBEPbDkAmcuboYFcuitKIGy6f3Q15hOX47eV3zvGHxcgyLl2PPuWws357eZItdc3NzIZfLeduDWsej+9QPdK4pl9liGHXn1d2SKjzVvw3VJNkYUTU1tbW1eOGFF/Cvf/0LrVu3tmVcNoFqagiCcHW4uhiGYXhZFlN1MSqVOquzfJvxeprZYxQ4kJ6LS7lFTa7Y9c0338R7773H2977+cXwj2xv9HnaE8CBhndaNVVsYr7n7u6OjRs3Uus2QRCEg8FlZ+7qZWf0syza2QNtJBIGSzenGXTe1c86KOuXtZpCpqagoADBwcG87d26dcOsxd9j/ZGrJp+v08ZNxcE2R/QVHj9+vEO3bRMEQTQ1uOzM4s2pmLLyd6xLycCOM1lYl5KBaasOYPHmVAxWRGBOkrq+Y29qDu4UV4JL1LMsi/ziSuwzMUqAe96t+xV4uFN4kyh2Xbx4sUFBs2/fPpw6dQpFFbWCjtMYE8AJNaJrauLi4vDuu+/i6NGj6N69O5o1a6bz+KxZs4w8kyAIgrAF2hb9+uhnWbadzsLlvCKduhgVy2LPuWyTQx+5Y+1Pz8GE/rFm9nRuiouLERAQwNseExODy5cvw83NDUqVyi4TwAnTiBY1X3/9NQICAnD69GmcPn1a5zGGYUjUEARBNCLaFv2m2Juag4kD4pDcIxqXtxTpZA8kDIPCsmpB5+Oed7ekyiXN+L788ku88MILvO1btmxBcnKy5ufGngBOCEO0qLl+/bot4iAIghCFK9n4NwSxWZZxPdVNHtrZAxXLCs46tA33R61SBS8PtwdFyYDT37TLy8vh4+PD2x4UFIRbt27Bw8NDZzvDMAj198KweLnJCeDUxt24UNUSQRBOhaq+DuROSRXWH87Eyh3nsf5wJu6WVAEARJqkOz1isyzNPN142QMu62BKlkglDOYnx2Nk1ygUllXjt5PX8Wn9tS/Qu/Ysy0KpUun815FZv369QUHzww8/4N69ezxBw8FNAE9MkPOunfoaP5gATjQOojM1AJCTk4MtW7YgKysLNTU1Oo8tXbrUKoERBEHooymI3ZLGazvmzM7mJisgQdNpnRWTZQnylaG8qo6XPRCSdZiTpMAQRQQWb041e+3F+OPYk+rqagQHB6O0tFRnO8MwKCsrg7e3t8nnN8YEcEIcokXN/v37MXbsWMTExODSpUvo3Lkzbty4AZZl0a1bN1vESBAEAUBcQWxTQUxtx1CFHFl3SzXZAx2fGpbFnDEKMIy6/kb7WB0iApDYJRKLN6cKuvYf/nIGl/KKNI87ouDcvHkzxo8fz9v+1Vdf4bnnnhN8HFtPACfEIVrULFy4EAsWLMA777wDX19fbNy4ESEhIZg0aRJGjhxpixgJgiBEFcQ2JRt/MbUdYYHeCAv05gkalmVxt6QKqdcLMH9sAiYNiMPetBxN1uHR3q0Ft3xPHBCHMT2icWlL0YPjw3EEZ11dHWJiYpCdnc17rCHGrAzDaLqbqMvJfogWNRcvXsQPP/ygfrKbGyorK+Hj44N3330X48aNw4svvmj1IAmCIMQUxDY1G3+utoPLsrSLCEByj2jN/KbqWiVkbhKjBdXctV2XkoF+7cNQXl1bbxbHoKyqDlKJxKJiZH3sLTj37t2LxMRE3vZly5Zhzpw5jR4PYX1Ei5pmzZpp6mjCwsJw9epVdOrUCYDaeZEgCMIWWNJ23FTQru14cUQneMvccPt+hc78JlN1LdrX9tiV2+goD8TBC3noKA/E9M8OYscbo0UXIxuiMQSnoa44lmXRtWtXpKWl8fYvKChA8+bNbRIL0fiIFjV9+vTBkSNH0KFDB4wePRrz589Heno6Nm3ahD59+tgiRoIgCNEFsa5idia0dZ2pf1zmLhFUzKtfT8Nd262nbmJYvBwHzudpRiyUV9WJLkY2hq0Ep7EhnoFVOUgeOZS3/zvvvIM333zT6nEQ9kW0qFm6dCnKysoAqD8UZWVl2LBhA+Li4qjziSAIm9HUzM4smbQtppBaqVJpBJL2tb2UW4Q957Lxt35tcD7rHmaPUeBKXhGGKiIEFyMfv5JvdB9bCE5DXXEsy+LU6oW4f/M8b/+8vDyEhYVZ7fyE4yBa1MTExGj+v1mzZvjiiy+sGhBBEIQhmpLZmSWt62IKqScNjEN5VS18vTw010r72n668zw6RQaic1RzVFTXolNkEAAILkZetOmswcdtJTj1xVzJras4/vls3n7z5s3DkiVLrHpuwrGwyKeGIAjCHugXxGrf7Bmob6qG2pWdDUta18UUUu9LUxfzPrF4j0YgMYDm2iqighAS4I11KRkI9ffCQ+1awstDirlGWr65az87SYE957JxWaudWxtbCE5tMceyLM798D7uXjrB22/g3K/xypsTnP6zQZhGkKgJDAwU/CEoLCxsUEAEQRDGaApmZ5a2rlviLKwvkLhrC0DPkyYVUgmDOUkKzB+bgAn9Y7E/PVdz7YfHyxEa4A2lSoUL2YVggEYTnJyYK72bjT8+5XffRnRLRKfx6pmETa0rrikiSNQsX75c8//37t3D+++/jxEjRqBv374AgGPHjmH37t3417/+ZZMgCYIgOFzd7MzS1nWxhdS1dSrNz9oCyZioUqpYLNmahm2ns/DK+ARMHBALhmFQXlWH41fysePXsxjVNQpzkxPwVP847NPyubGl4JQwDD5972X8uX8L77F+s75AsxZyzc9NrSuuKSJI1EyZMkXz/4899hjeffddzJgxQ7Nt1qxZWLVqFfbt24e5c+daP0qCIAg9XNXszNLWdQbA8Hi5oGLe4fFyaF8ybYEEwKSoYhggormPQXfhv3KKsO10FpJ7ROPxvjHwdJfaVHBev35dp86TI6TjQ+jy1Gu87a7UFUcYRvRAy927dxt0Dh45ciT27dtnlaAIgiCaKpa0rgNqwdAy0BvD4uUmnzM8Qb1U5CbV/fPPCSRzoiq5RzTyCsuNLo9dzivC4i2peOTj3bhbUmWz6elz5swxKGj6/nOlQUHjKl1xhGlEi5rmzZtj8+bNvO2bN28mAyOCIIgGImRiNsC/SatYFpm3ijF7jOmp0bOSFMi8XczzkuEEkiFR1T4iAC+PS8AvCxIxVBGBIB8ZFoxLQPuIAKPxcdkfTnRZi9zcXDAMgxUrVuhsj0vojeHvbIVvS77QAR4UKTv78iRhGtHdT++88w6ee+45HDx4EL179wYAnDhxArt27cJXX31l9QAJgiCaEpa2rksYBr7eHjiQnmuwmHeoQt1uvedcNhTRzXW8ZLQFEsuymmUsSX1xcGKXSOQVlus4FHPGfHvOZWP59nQoVXzxYu0aljfffBPvvfceb/vRP/5A7969sXxbukt3xRHmES1qpk6dig4dOmDlypXYtGkTAKBDhw44cuSIRuQQBEEQlmNJ6zonhtJuFmrqWsb3ao1mnm6aYt5Fm84iOtgHiV0idbxk9AUSt4wVHx2EwYoIkw7Fs8coAABLtvJHEFirhuXu3bsICQnhbe/RowdOnDgBiUQClmVduiuOEAbDslbODTowJSUl8Pf3b9AkVoIgiMaAuwnnF1cKvklzpn2mMhazkhQ4kJ6LJVvTdASSdu2LimWhUrFwk0oMFgRrk5ggx/yxCZj19VEdfxoGwNpZQwwOrxQ6+gEAFi9ejJdffpm3ff/+/RgyZIjB6yb02ITzIPT+bZGoUalUyMzMxJ07d6BSqXQeGzhwoPhoGwkSNQRBOBtib9LmxFDmrWLsOpuFAB/jAknFsgDL4m5pNaas/N1oJ1T7+mnggzqFw61+oveJjHxsPXUTUS18dMwBueNKtGIzNfqhuLgYAQEBvHO2adMGly5dgpsbecc2JWwmao4fP46JEyfi5s2b0H8qwzBQKpWWRdwIkKghCMIZEStsOFGiZAEJo663qVWqUFxRA28Pd3jJpBoBwdXR6B9fxbJYfzgT61IyeMeX6tXa7E/P1am1CQtUG/ExUN8XGIaBSsWCBYtlW9N5S1kM8GD0A8Pgv//9L158kW+kt3XrVowZM6bhF5RwOoTev0VL3X/84x/o0aMHtm/fjrCwMErrEQRB2AhLhlpySCQS3DYgOJp5umHPuWxczCnEzKR4ANAc38NNgh5tghEd7AupxHhr95wkhdlamzljFLiYex+do5qrX4eEweLNpkc/1FRX4vUn+/Ieb968OfLy8uDh4SH6GhJNC9GZmmbNmiE1NRWxsbG2islmUKaGIAhngauPEZLZ0Fk6UqmzLsu3GX/e7DEK3CmqQGiAN5ZvS8eB87mYrZd5ebxvDH45do2XqRnRRY65Y+JRVauEzF2Kcq0lp0u5RZr9uFqbwrIqBDSTIb+oEtNWHTC6lHUr9QDSN/KHTf7444948sknxV4+wsWwWaamd+/eyMzMdEpRQxAEYUusWaRqyVBLAJBIGCw1kxHhnrcuJQN703IwPzmel3kJC/TGUEWExqFYe8kpv6gCe1JzTLZ3703NwcQBcaioroW/lwdPYHGo6mpx4KOJUNZU6myXSqUoLS2Fl5dzT1wnGhfRombmzJmYP38+bt++DYVCAXd3d53H4+PjrRYcQRCEM9CQZSJ92PoMzd3SatFDLcUOwwz190L7iAAkdonkdTltPXVTI1b2puUIWnLSbu9mAexPz8FjfWIgMbKUdefiMZz74QPe9q+++grPPfecyddAEIYQLWoee+wxAMD06dM127hfJkcvFCYIgrA23DLR4i1pRm/2c5MVkMD07CNtYeTv5W7xUEsxz3ukd2t0igxErVKFeWPj8UJiR52lpD3nsjF7jALhQd4GhY/28bQzQNtOZ+FyXhEKS6vh6S6FUqXrUqxSKnF42bOoLingHevLHacxbUQXM6+AIAwjWtRcv37dFnEQBEE4JZYuE2mjL4x2vDHaoqGWYodhenu4oayyFj8eyTS4lPTpzvMAgAn9Y5FfVCEoAzRxQBySe0Tj8pYiBPnKoFSxqKiu0yxlFWSexem1/+I9t93I59HqoXEY91AHms9EWIxoURMdHW2LOAiCIJwOscs9hozoAL4wKq+qEz3UksvUiHleVa0SUz49YHYpqV+HltiTargmRhtuyWlcz9aaomSphAELFi0DvJD69VzcvslvEX/41fXw8PbjORsThFgsdi/666+/kJWVhZqaGp3tY8eObXBQBEEQzoDY5R5umUjnMQPC6ERGvk6RrjH0ZzZxwzCFPG9YvBxHLt7m7WdoKcnLw01UBqiZpxuGJ8jRMsAbLMvi/NlT6N+/P2/fNoMnoc3gCTSfibAaokXNtWvX8MgjjyA9PV1TSwM8WCummhqCIJoKYpd7DC2rGBJG+kW6xuAyG+tSMjChfxtIRAzDbBngjQ83njW6z97UHDw9MA6Lp/QBKzIDVF2rxJwxCihVKgwZPBgpKSm8/VZuPAxW5o8gXxmGx8sRGuANFQkaooGIFjWzZ89G69atsX//frRu3RonT57EvXv3MH/+fCxevNgWMRIEQTgk3HIPNy6gd1yoZoCkvneLseGOhoSRdpGuqaGWs5IU2HMuG98duoL8ogrMH5sgaBjm7Prnac9q0ofL2DzeJwaZt0s0k7uFZI483aU4c+YMevTowdtnxqw5mLPwbYQHNdMUEUslD1rgCaIhiBY1x44dw++//44WLVpAIpFAIpGgf//+WLRoEWbNmoWzZ40r/4aSkpKCTz75BKdPn8atW7fw66+/Yvz48TY7H0EQhCkkDIPH+sRg8qC2yCssx28nrxssuF2xPV2zTKSPsTqY5dvTAaiXgJ4eGIc9qTmaOU5DFepRBJwvDMCv2zE1sfpCdqHmeaYoLK2Gh7sU/93zF1ZM7ycoAxTs54lx48dj65YtvMdPpl5Ez/j22HMuGzO/PgqlitUxEmRhukOMIMwhWtQolUr4+voCAFq0aIG8vDy0a9cO0dHRuHz5stUD1Ka8vBwJCQmYPn06Hn30UZueiyAIwhwsAJm7xKx3S3iQt9ECWGN1MEoVqy7SbR+GsqpajO/VWpMFuphzH9kFZejbriWGJcg1maEz1+5ieIIcUokEABDi54mJA2J1zACVKhXOXCuAUmXeTD7IV4byqjrBmaMRbdwgqT+3NhHdE9Fp3Cz8a/NVDLtezfOzEdIhRhBCEC1qOnfujNTUVLRu3Rq9e/fGv//9b3h4eODLL79ETEyMLWLUMGrUKIwaNUrw/tXV1aiufpDWLSkpsUVYBEE0UcS0cxsrgGXM1MF4yaTYdjoLO85k8QZJ6meGwgLVdSnax+aWu7j/SgDBxcRDFXIcv5IPQDdzNKF/LPan5+pkgF6e9Q8sWLuWd5zTqedRCH/NUpwhPxvAfIcYQQhBtKh54403UF5eDgB49913MWbMGAwYMADNmzfHjz/+aPUAG8KiRYvwzjvv2DsMgiBcEEvauY1hqg5Gu71biKuvuWUccyKKY3iCWiQt2qQuKeAyR9tOZyG5RzSe6BsDmbsUmVevIjTAm/f8noNGYNLLn+DCfXcMiw/SGaOg72cDmO4QIwihiBY1I0aM0Px/bGwsLl26hMLCQgQGBjqcul64cCHmzZun+bmkpASRkZF2jIggCFfBknZuY67CEoaBCjBYByOVqDMrp6/eFeXqy3tcby6VuWLiWUaKiS/nFeHyliJczLmPjF1fYtWqVbxzPfTPT+HTsjV2nMkCYNj7hvOz0cZYhxhBCEW0qJk+fTpWrFihqasBgKCgIJSXl2PmzJlYvXq1VQNsCDKZDDKZsDZEgiAIMYht52a4uhYYFjYMAJVKBV8vd536mfNZ99ErLgTPD+uAvMJy0UZ/huZSNfeV4dHeMQZFFNderV2ErE9VSQFmjxnD2x6X0AetHn2d9/oMed9wfjbaGOsQIwihiBY13377LT766CMdUQMAlZWVWLt2rUOJGoIgCFsh1r23vKoOX+79i5dF0Z/5tPHYNaxL0XXdnZ8cjyGKCPxwJFNUZogBjM6lWncoA08PaouJ/dvoFBNX16kw++ujuGSk3Ttz/3e4dmgDb/uOfQex4o8yk/FpLzvlF1egvKpO85i2kSBBWAq/TN0IJSUlKC4uBsuyKC0tRUlJiebf/fv3sWPHDoSEhNgyVoIgCIeB61oydwvWLrjdm5qDO8WVGtNSzcynzamYsvJ3eLhLDWZ/lm9Ph9TIpGtDcMs4EobBsq3p2JvGH3HAAvju0BUs25au6ZYCAG8PN0S28OEds6a8GHveHMMTND179kRNbS0K3MIEj1Ho0zZUpwgZeGAk6GhlDIRzIThTExAQAIZhwDAM2rZty3ucYRibF+WWlZUhMzNT8/P169dx7tw5BAUFISoqyqbnJgiC0EZswa2flweYcXjQdl0vOr4/nIkurZvjhcSOYAC8MLwDOkUG6hj3KVUsKmrEz4MqEFHI7FOfJeoW0wJz9Fq3rx/ZiIw93/Cee+DAATz88MNgWVb0GAVfL3cs2nSWRiQQVkWwqDlw4ABYlsWQIUOwceNGBAUFaR7z8PBAdHQ0wsPDbRIkx6lTpzB48GDNz1wR8JQpU7BmzRqbnpsgCEIfoe69F7ILceZagU7bNcuyqKxRYtLAOJPGfZ/uPI+ZozrD28MNiQnCXX0ZQFQh87ierbEuJQM/HMnEnCQF5o9NQFJ8MDq0juA9JzY2FhcvXoSbm5vmOogRXCzL4q+c++gVF4w3Hu+GEH8vEjSEVWBYljX3mdfh5s2biIqKcsoPX0lJCfz9/VFcXAw/Pz97h0MQhAvA3Yzziyp0XH+HxavnK3EFt/ruuQwAFQss35bOq3fh9ps9RoE7RRUICfDGT0evYtLAOKPdTxyJCXKNL87F3CJENvcxOrqBI6lbFGaM7oxR7+/QbKu5chAH1/FH32zduhVj9IqEufb2KSt/Nyu41s4agha+Mp0iZme8nxCNi9D7t+hC4YsXLyI7O1szcfWzzz7DV199hY4dO+Kzzz5DYGCg5VETBEGIQL9N2R43SBbqm7Wvlzv+9lAbeLhJUFWrxJGLt/HhxrM6LdFcF1B4kDcmDojDUoHt2etSMvDdoSsI9vM06+o7Z4wCKhULiYRBUDOZ0QwQJ7SAB4XMAFBXU4Xf33+cF1Pz5s2Rl5cHDw8P3mNiluK0nZWpy4mwNqJFzcsvv4yPP/4YAJCeno558+Zh/vz5OHDgAObNm4dvvuGvuxIEQVgTQ23KQT4yjOgS2ahLGZpC3/ruogXjEtBRHojpnx00mbEI8fdCflGF4HqX0HohYM7VN8TfCyqVWugt3czveDLkF6NdyJyXegDnNy7hxfHSW8uw4s1ZOgXFhq6FuaU4qpshbI1oUXP9+nV07NgRALBx40YkJyfjww8/xJkzZzB69GirB0gQBKGNvpAw5qprzA/GmuiPSegdF4rfTl43W8cidD/teheA7+qr7Wdzp7gCzX1lkEokWLpZ2OiGbaezEB3sgyBvKZJ6t0VtdaXO/oxEgiGv/4y2PePMtlpLGAYsDBsIcoKLBA1ha0SLGg8PD1RUVAAA9u3bh2eeeQaA2oCPZisRBGFrxMxbsgXaS15KFYsurZsj+14ZLuUWoZmnm6AuIKH7ATBoUse5+mrD1cUINeibOCAOLwzvgIunDsLTswtvn47jZkHePRGAcFM8TrAYGqSp/ThB2ArRoqZ///6YN28e+vXrh5MnT2LDBrVnwZUrVyCXy60eIEEQBIcl85asdSM1tuSlXaeiPafJFEL3A3TrXcztp1Kx2J+eKygDtPvsdfxrykjk5PCv5ZDXfoKbp3qekyWmeIYGaRJEYyDYfI9j1apVcHNzwy+//ILPP/8cERHqdr+dO3di5MiRVg+QIAiCQ+y8JZW45k6T59U2yVuXkoEdZ7KwLiUD01YdwOLNqRisiICEgSBDvhMZ+UhMkAsy7ktMiNQxqTO23/B4uWCDvoLMM5g2tDNP0HQY/XckvrtNI2gAMsUjnAvRmZqoqChs27aNt33ZsmVWCYggCMIYYuctNdRyn1tqkkokgpe8mnm6m+0CulNcidAAb8HdQvnFlUb34fYLDfBGeXWtyQwQq1Li2H9moezOTd5jt/LvIC2vCku2pgGg4l7COREkasrLy9GsWTPBBxW7P0EQhBDEmrxZOhxRe6mprLIGzWTugpe8auuUJtuun3m4LZ7s1wZKlUqQcZ+KZTGhfxvkF1Ugu6AMY3pEo3dcqKZAOKugFO3CA5B5qxg37pZiqCLCoEHf/Zt/4c+v/48Xd+yQpxHz8FP4/nge5o9NwP3yatQqVVTcSzglgsz3wsLCMHv2bEyZMgVhYWEG92FZFvv27cPSpUsxcOBALFy40OrBNhQy3yMI50asyZslNTXcUtOyrWpTvJ8XJOK3k9d5QyYNMXlQHMb1bI1jl28jsUskKqprIWEYeLhLUVOrhFTCwN1NivyiCuxNy0HX1i3QKTKIZ9w3VKF2Ht5zLhtdWrdACz9PAOpM1e376ufqt7FXVNfhjfUnsXTaQzoGfSzL4s+vX0FR1l+8eKcv2YyccqnONWvh56kRMjRcknAUrGq+d/DgQbz22mt4++23kZCQgB49eiA8PByenp64f/8+/vrrLxw7dgxubm5YuHAhXnjhBau9EIIgCA5LTd7EoN9d1ZBOpdKqOoM+Oqk37mH94Ux8dygD7cIDkNwjGo/3jYGnuxQ1dSqk/HULizapjfsmD4rDhP6xAIAL2fcRFeyLSQPjNA7BH248A3lzH8xNVmDakHbYcy5bkynauPMgjn0xhxfnvHnzMWLybM1SE6DbPm5omjhBOAOCRE27du2wceNGZGVl4eeff8bhw4fxxx9/oLKyEi1atEDXrl3x1VdfYdSoUZBKpbaOmSCIJoytTN60W7VfSOyILq2bY+upm6I7lWrrVBisiMDizamCzO+49uzFW1I1Iw62nrqpcSKWuUk0WZNAH+MOwSu3p2NucgLSswrxe1oODv3vXzi2dSsvxhs3buDyfYnGyE8bTpTZonuMIBoD0bOfnBlafiIIPo4wakAsmnlLxZUNNnnjXjN3LG3BEBbojdzCcjCAWZdgBsD6uUMR5OMpeD7TrK+P6oxRYAB8M2MwzmcVYvGWVADAz/OHwVvmbnZG1IH0XHRp3QJ3c66hc+fOvHNOnfYsJs5+W0cw6cMtnz2+eI8mQ2TKRZggGgubzX4iCMI1cJRRA5ZgLZM3Ie7Ec8Yo4CaVCFryCmwmw22B4w8mDohDco9oHRM9FsD+9ByNg3CHiAD4ecuMiiT9zquhYx7D79s38fY7eioV7+7I1gglQ2iPSwCs0z1GEI0NiRqCaII40qiBhtBQkzeh7sRzk+OFDZJkWd7jhtAXL9po1+U8P7wD8osrzYqkzQdOYcG4Lrztf/vb3zQGqcNyWLOiLCzQG4s2nQXQsO4xgrAXJGoaiDOm7gnC3qMGHAEx7sQTB8RBpWJNDpLkVvIbMv4AeOAgnJggR7vwAPxwJFMjktpHqIuKtVu6n3n2Bez5gT9IODU1FfHx8QCE1SHNSlJgz7lsXM4rsshFmCAcARI1FuLMqXuiaWPPUQOOhBh3Yi6rMuvrozqdSvpLXkqVqkHjDzhnYDcpg/ljE8CyLArLqiGVMJiTpEBil0jkFZbjt5PXce1GFt6eOpx33GHDh2PP7t0675mpYZPa7eNc8XBDuscIwp6QqLEAV0ndE00TsaMGJvSPdfglCEsypmLdiZt5uuFKXhHSbvpgiCIcADRFtNz5GYZBYpdIg+Z32ujXr3BwzsAnMu4g41YxnurXBkE+MsxJUuh0VGXs/w7XDm3gHfePP/5Ar969DZ+z/noE19chMQyD8qo6HL+Sr2kfV2doyEWYcF4EiZotW7aIPvDw4cPh5eWaSp9S94Qz09ijBmyJkIyp9n7agkesO3FNrRJrZw3RycTqn9/DTYIn+8UKKirWrl/RXwLi/GO6tm6OpO5Rmo6q7ccu4ODHk3jH84uIwxurNqBv3674PiUDkwbGGT03l7VhGAYVNXW4XVSB2JZ+6BUXTC7ChNMjSNSMHz9e1EEZhkFGRgZiYmIsicmhodQ94ew01qgBW2MqY/rjkUx89HRvKKKb81q1OcEjJquSmBAJDzcJguudfTlBY+j8gc1kZouKZycpkHmrWCMmDC0BAcBXey9i2bSHcOt+Bb76bDmu7F3Di6/HtA8R1Doe+9PzMHlQO4T4e+FOcaXJvz3W6h4jCEdD8PLT7du3ERISImhfX19fiwNydFwxdU80LSQib+aOmqkxlTGdnaRAe3mgSQO8ucmKBrkTGzs/J0rmj03AxAFx2JfGH3+Qe68coQHemDm6M89BWJuLuUUouHcf4cHNeef3DgrDQzO/gKTe8JQFsC89B0/1i4VUohYpTH3GxZS4aUj3GEE4GoJEzZQpU0QtJT399NMua27nSql7omnSGKMGbI2pjGn7iAAkdokU5O0yNzneIndiU+dXqlgs2ZqGbaezkNwjGk/1j4WbhEGZXv0KZ8D38trjPDHDdTmlH/gNIcFjeOfoOuktBLfrydteWKouKl654zyCfGQYniBHywBvzTIcZWAIV0eQqPnmG367oCk+//xzi4JxBlwldU80bWw1aqCxMJUxTe4RjbzCcsFLxC38PA12BZmqL2FZFv5e7tjxxmjNDKatp27iUm6RZh9u/EF+cYXGpReAphh3tlYLNQfX5dQvLgg+Pj68mN29/TBowbeQuLkbfE1BvjKUVdVhx5ksALoGgpL6l+CI7ydBWAvBy0+PP/44nnvuOYwYMaJJ/1K4SuqeaNpIGAYq1Lf4DozTmRDN3cxVDipoANMZ095xofjt5HVRS8RgGEH1Jdz2u6XVvJEK3Aym5dvToVQ9OHthaTV8PN2Q1C1KZwmqvLoWu85m4+VxCRrfmdo6FTb88D18uk7hxZvwt1cQ2nmA0ddjqKOKGheIpoZgUXP//n0kJSUhPDwc06ZNw9SpU12yENgcrpC6JwiuyHXd4UyE+nthfK/WGjO341fykV9ciQn922i6ZBwNUxlTsVO1tcWLqfoSIVYO2oMqOYJ8ZVCqWMwY3VlzfX88konZYxRYOu0hje9MfmEJ3pg4CNVVFTrnlUilKCstxWd7rojqqNKGMxAMaOYBT3epQ76nBGENBIua/fv34+bNm/jmm2+wdu1afPDBBxg0aBCee+45PPbYY5DJhC3JuALOnronCFNFthz5RRUO++3eVMZU7FRtoUvEYqwctp3O0vi+DFXIceB8ns7cpfnJ8VCpWCzdphZI+ReP4dwPH/COO++tT3Be2gGHLxeY7aiaZWA5Szu+/ek5eLxPDC2JEy6NqPGr0dHRePvtt3Ht2jXs3bsX4eHheP755xEWFoaXXnoJp0+ftlWcDoWEYSBh1I6f384agqcHxiGpWxQmD4rD2llDMH9sAo1LIBwWlmUFzRPam5qDO8WVmiJTR0I7Y6rPiYx8DFVEwNxvn5glYjHX7Nb9CiT3iAbwIHuy9dRNzT5cIfPybenYffYGDi6eYlDQvP/DUSx5ewHahQdg+fZ0HEjPxfyxCVgzc7DO35w1Mwdj/tgEHEjP1WkH16ewtBoe7lJaEidcGosdhYcMGYIhQ4agtLQU69evx2uvvYb//ve/qKurM/9kF4B8HghnxVVsCYxlTLeeuqmpcbHWErElIxUSjWRPuELmHzdtwem1b/KO0W703xHdZywOZ9zXCKTFW1J1OqqeeKgNZG4SqFgWN+6UYtbXRw1maLThDATd3SQO+X4ShDVo0JiE69evY82aNVizZg2Ki4sxbNgwa8XlNJDPA+FsuIotgal5RhXVdVZdIhZ7zXw83TB/bALPTA8AesS0QGdFPHJvZPCeO/jVH+Durfb5MjTJW7ujakJ/9ZcpHy8PXDEjaLhlMLb+tRCEqyJa1FRVVeGXX37B6tWrkZKSgsjISDz77LOYNm0aIiMjbREjQRBWxJVsCfTnGXEZU4ZhwACYlxyP2UkKSCUMqmqVyCssR6CPDEE+nqJq3iy5Zj8czsR3h67oPHb/5gUE+vJ9Z2KHPI2Yh5/ibTc0yVt72UxM40JYoLeg+AnCmREsak6ePInVq1djw4YNqKqqwiOPPIJdu3Zh6NChtNRCEE6EK9kSaFqstWY/NfeV4dHeMfCWuRkckSBW0ADirxnDMJjQvw3yiyqQXVCGpO5RePPFp/DnsT94zxn08neQ+QYaPJ6hSd76y2ZCGhdmJymgUqlMugsThCsgWNT06dMHCQkJeO+99zBp0iQEBhr+JSQIwrFxZlsC/WncDIDvD2fiz8w7GNMjGo/2aQ0vdzd167WZEQkSGK59452DYcCyLEL8PDF5UFus1cu+aKN9zVioHYvPnT2L7l2iePu26vco2o6YbvRY+r4zxpbNTC3DDY9XT/025ChsyWRzgnB0GFZga8OZM2fQrVs3W8djU0pKSuDv74/i4mKXHeNAEELgPFeWb0s3WXPiKDc67qarn3nhRISEYXC7qAJnrxVgVLcooyMSOLgRBUqVSmdqt7FztAzwRkV1HbxlbjifdQ+vfHcCdVoGe9rXjIFaPChVKowfNw7bt2/nnf/GjRv4+VyRoBg3HM1ErVKl43CsfU20BYkh0aefnTH2OrUnmzvCe04Q2gi9fwsWNQCgUqmwZs0abNq0CTdu3ADDMGjdujUef/xxTJ482eF/EUjUEMQDuJsXd3MTMh7AFjGYyxZwAmzZ1nRe5mV+cjyGKCKwfJv6sQXjEtBRHojpnx00u0y0dtYQtPDzhErF1mc7DJ+DATSjBkoqa+Dv7YHqWhU2Hr/Gy4iUV9fi1xPXceKPo1i1kJ+Fieg+Ap3GzcT85HgMVkRg5XbjonJ2kgIqloWbVILqWiVkbhIADCQSywWJqWvJvc65yY4jZgmCw+qihmVZjBkzBjt37kRCQgLat28PlmVx8eJFpKenY+zYsfjtt9+sFb9NIFFDEHwaexlC+3xKFYubd0tx6upd1NSpjN6cDWVe2kcEYMX0fjqP/bIgEb+dvI51KfzOIn0mD4rDY31icPB8nqjsjv5rqKlTwU3K4IcjV7Hu0BXse/9xKGuqeM9PP/8XOnZsr5kV5evpjt5tQ5FfVKEzpoIbo6A/cmHJlD7oIA9ssCAR8zoJwlEQev8WXFOzZs0aHD58GPv378fgwYN1Hvv9998xfvx4rF27Fs8884zlURME0eg0li0BJwLuaBX1BvnIkJggx5P9YqFiWZRX1eFCViHaywM0zqCVtUq8kNgR88bGo06pAssC7m4S1NapUF5di5x7ZZpziB2R4OkuxYiukcgvqhBkrDdxQBzulVahfUQASiprEOTjCZm7FIs3p2LjroM4/sUc3vP+9re/YfkX32BfWg7210/PHhavFi7Hr+RrOrcYhtGMUeAmeXO0jwhA56jmgiaPGxMkpiaL67/OyYPaItjPk7I1hNMhWNT88MMPeO2113iCBlAb8b366qv4/vvvSdQQBMFDyNykOWMUyC+qQJCvJ6QSiXpZSMKgpLwGZVW1iA3zR2FpNfam5ejUuyyf3k+T1RA7IqG6VllvMpgjylhvxfZ0zB+bgDqlEvfKavDm9FGoLLzFe86uXbsh79ADH/96Fhe1Jnhrz4rKyCuChGEw8v0dRs8tdvK4IUHiKqaLBGEKwWMS0tLSMHLkSKOPjxo1CqmpqUYfJwii6SJhGCzbmo69aXzxwGUZVmxPR2yYPz7adBaLN6eCZVmk37yHm3dL0SrEF4s3p2LqqgNYl5KBHWeysC4lA1M/PYDFm1MxWBGBOUkKUSMShirkOHzxNmTuUlHZnWaebpoREpcvXULLAG+DgmbZ1lTc8WyFIF9PLJ/eD/OT4yGVMDqveeX2dHSMDEJ1ndLkeXvHhWJ/eq5gQaIyUFXgKqaLBGEKwZmawsJChIaGGn08NDQU9+/ft0pQBEG4Bmx9huZuabXg5Z0x9WMBpBJg9ph49SBJrWWX9hEBSO4Rjd5xoZrJ4lfyipDYJRJLt6QKHpHATbTu0zZUVHanvKoOLIB+/foh8wJ/InaXp15DSMeHsPNsNgDTE7y5zEpzXxleHpeAradu4pJWRofDksnjhjqh2ob5w3g+SPd1OrLpIkEYQ7CoUSqVcHMzvrtUKm0yc58IwlFwVK8R7foZfy930XOTAKBTZBBYlsWtIvUgSamEwZwkBRK7RCKvsBy/nbyuWYbiBls+2S8We89li5pozWV3hBjrDVXI8duBU9jzJt8VGACGv70FjEQ3AW5sgjf32J7UbDzeJwZdWrXAUEUEaupUcHeTaAqKt566KXhZTSphMLp7lE5Xm3aH1KhuUZBKGJ0CZEOv09FNFwnCGIJFDcuymDp1KmQyw79Y1dXCvkUQBNFwjBXdOoLXiH79zI43Rote3uEmWVfW1GlqcOYkKTBYEWHSVG/OGAUu5EAz0XpC/1jsT8/ltV5rz2QSMwDzH1MnYMuWLbzHVvznS+woCDcpirhMVHKPaFzeUqTZXlRWDQ83KVr4ueHWfXXBsrZYGxYvR25hOYbFy80KrzlJCrQK9jV7jQDdjJH+63Q000WCEIpgUTNlyhSz+1CRMEHYHiFFt6Ycc22NhGGweEuaRiCILd4tr6rTFMa2DPRGYVm1RuQI7f6Z9fVRbD+dhb8P76AzE+pybhE+2KjbWXQptwg598ow10R2p3eUJxaM62Iw5sqqKvx8/CZYM23khgZUAsDIblFQsSyWbjZdRC2VMCaFl9hrtP10Fi5pXQdLBn0ShKMhWNR88803toyDIAiB6IsGbYS09toS/bbh9hEBKK2sQWKC+SyD9liAh9q1xO2icqhULGaN7owaA+3bhlDXqMRh6dS+kEq0hlsyDMCyOH2tQEfQcDHKm/sg/eY93qiBtuH++GHFW3j3zTW8cy1fvhwTp/4dMg8P0Zkojg4RAYht6S9YiJia8fT34R2QX1wpuENq0dO9sPH4dbuYLhKErRA9pdsUd+7cQUhIiDUPSdTjqLUTRONiLa8RIZ8nSz5zXNuwRKv+5W5xJYJFTJLOuluKZp5uaCZzxw9HMo22bxuqCeHasx/vE4PPdl3UWZJjAINDKbXbpTtGBqKFrwwTB8Si6H4RWrRobjDWyspK1EEKLw8plCpxE7y1B1Q+L1KItPDzNDjjKTEhEs19ZVh/OFNwh9QTfdvg8b4x8HSXat5fwD7ZPYKwFoJFjbe3N27evIng4GAAQFJSEv73v/8hLCwMAJCfn4/w8HAolaZbEwlxOHLtBNH4NNRrRMjniQUs/sxxbcP69S/zkuMFFe/m3itDtzbBJmtCDHURaVNYWg0Pdymu5ZegU2Q0vDzc1Et2AIL9PDFnTDzcpIyme0qlYqFUsZibnID84krsTc3GyU1f4NMVy3jHbjN4ImIHT8Sq3ZcxN1kdR0V1HYaLzERxr7ldeAB+OCJciEzoHwswDELqDfu0BScAURkjdzcJRr+/A2tnDSGjPcJlECxqqqqqoD1RISUlBZWVlTr7iBgjRQjA0WsniManIV4j3OfpQvZ9RAX7YtLAOE2HzYcbz0De3Edzo7b0M6diWbQN8+fVdnBFuYaKd7mxAMev5KNP21DBSzH92ofBSybV6RK6lFuE5n4y1NapsGJ6P16X1IgukRjZNVIzo+leqa5gO/FXFiYPam/weg55/Se4ybx5cahYFi0DvAVnos7dKMA3MwYjLFA9PduS99OQC7RSpbKoNZ2M9ghXwqrLT3RjtS6OXDtB2AcVK26pQ99rRCqRINBHxmuHHhYvx4kr+ZBKJA2y4mcYBoM6h2u6eDiUKhZLtqZh2+ksJPeIxvhereHjqc6gVNcqsfNMFlqF+OK2wHEF3FJMda0Sd4or0KVVCwyLl2PPuWz0a98SUgljNtsT29IfLQNqNRmbd9//AG/96w3e+aL6JKP96BcMxjFxQBzOZxWiZYCXyULj4QlyzKkfUNm/fZhmFMIHE3s16P3URsIwBpfX9NHOGAFktEe4FlYVNYT1oDkthCHE3Li0vUZUKnV9zNJtpjMwYkRFsJ+n+tj1y1Fs/TKIzE3COwfH5bwinXbmOWMUSEyQY3DncLi7SUTVhDzWJwa/HLuGYfFytPDzRPrNexiiiICbVLgwu1tciZ+PXMaziQqD53r41fXw8DY8PE+7m+nJpXvx78m9MX9sAqY83A7FFdUID2oGT3cp6lQs3CQPMiz/3fOXJjYxHjnmvGMYhkGoiNqlRZvUxoFktEe4EoLHJGg6CIz8TFgXsbUThmzRCddD+8ZlCs5rhPsdlUgYLN9mekxBTZ2Kl2UwhPZnrrJGCalEgjtFlVh/OBMrd5wXtUSWkVcMCcPgv3svghG5tCZzl2JdSgamrVKPSmgvD0RpZY3gwtvbRRV479/LDAqa7oNGI/HdbUYFjXYczTzdoFSxeOW7E6isrkMLP0/4eLrjl2PXsHLHefx4JBN3S6rAMAxy75Vhdr2QY6D2yAkPaib6/TSGimUxN/nB8bVRCyNd40Ey2iNcDVHme23bttX8UpWVlaFr166Q1LtnNlY9zWeffYZPPvkEt2/fRkJCAj799FP06tWrUc7dmNCcFsIY3I3L5FKHlteI0Kyf2BlIEoaBu5uEt8wzfUh70UsqbcP8LfKzAXSzL3PGKARle5RKJcICmxl87FLGdZzMrcE6M74z+nHMTlIYvB6A7rLXnaIKndqiv7ILMcfc0pVA7xgJw4AFDHZIcbVL2saDZLRHuBpO5VOzYcMGzJs3D1988QV69+6N5cuXY8SIEbh8+bLLtZI3tHaCcF1M3bgMeY0IzfqJFRUqlsWK+uyPNmLHDtTUqTCoUxj+uCzueVxNCMfeVHWXlTlhdivtINJ/WczbnpiYiPkf/w/ZFQyGKoJFxSHW+G7JllTERzfXqS2aPzYBEwfEYV9ajsYjZ2DHMMjcpQ+6nMCvXTTUeg+oO70mDogFwzAor6rT1PE8yNCQ0R7heljVUdjWLF26FM8//zymTZsGAPjiiy+wfft2rF69Gq+++qqdo7MultZOENbHET2CuPMba+3Vjk9o1u9ERj6GC7Di5z5zADBvbDxeSOyo030kZuxAWKA3dp7NQmKCHPlFlaKHUWrDAqiuVRoVZizLYu9byQYfGzDnKwx/uCcGKyJw5updzZKQ0DjG9nzgdWMKrrg4Pro5Fm9JBQAkdYvCjNGdMevro5oi6mYyN0gkDPKLKrDx+HWLWu8ZPCgTqKipw+2iCsS29EOvuGAy2iOsjqP8nXSaQuGamhqcPn0aCxcu1GyTSCQYNmwYjh07ZvA51dXVOjOpSkpKbB6ntRBT9EfpY9vgDB5Bhlp79RGa9RMjRrjP3IXsQpy9XoChCrmm+2j59nTsEThUMrewHA93CoeEYfBkvzaoqq0zuxSjXROiz/U7pQa/DNy9fBJnv3+Xt39s+86ImfgRAHUmJTzIGxP6x6KmTml2iU87jt5xvfDbyeuih3YCD5awuCLq+cnxGKyIMDk2YW6yAgwEtN6LEL8EYQmO9ndSsKiJiYkRtN+1a9csDsYUBQUFUCqVCA0N1dkeGhqKS5cuGXzOokWL8M4779gknsZAbO0EYT1cySNIaNbvcm4RKqrrBN/M024WYvYYBXLvlWPaqgM6xnjavjSTBsRhb/2SinZth4plEeLvBTcJgzolC3c3Ce6VVqG0sla9tDYwDntS+c/TrgnR5+bdUnSQB2qEmansTFpaGr46WYLLeUU6E8DziyqwNy0HXVu3EBxHM083i0Yl6C+liV3GyiooM1r4rd16L0T8EoRYHPHvpGBRc+PGDURHR2PixIlOU7+ycOFCzJs3T/NzSUkJIiMj7RiROMTWThDWw5U8gsRk/bxlbmDr6zvMFZoqVazmGmw7naVzTbadztL40sxO6owJ/WMhkahrO+q7m5FfpO5S6hbTAu3CA3QKbDe9PAJlVbWampM6FYuD5/M0NSEGXyeAnrEhUKlYzB2jwLULp/D568/x9vNvHoK7+bdwID0Xl/OyABieAP7doQy0Cw9Aco9ozTiBOqUKBy/c0omDgellL320i4v1l9K0RzaYwtjEb/19yO6BsCWO+HdSsKjZsGEDVq9ejaVLl2LUqFGYPn06Ro8erel+sjUtWrSAVCpFfr5ucWB+fj5atmxp8DkymQwymbA/NI6KmNoJwjq4okeQJR1Tvl7u6voOTzdeoSmH/s1V/+creUXwlrnjwPk8LN6Sinee7IGesQ/GILSLCMDkQW01mYn2EWoR4ekhQetQP5RX1eHPzLvoFReC1Bv3jAoaqYTBvyf3RnNfT1RU1yKkeSDKy8t5++3YdxCjhg5CbmE5+rZriZ0JclTW1MHbww3rD2fy/jhzS0KLt6QiMUGO+WMT0KVVc019CvcFw9NdKtr4LjFBjtl6S2m940ItXsYytA+5BRO2wlH/TgoWNU888QSeeOIJ5ObmYs2aNZg7dy5eeOEFTJ48Gc8++yzi4uJsGSc8PDzQvXt37N+/H+PHjwcAqFQq7N+/HzNmzLDpuR0BSh83Hg2dr+SIWNIxtfHYNbNtzfo3V+7nR3q3xstMAvq1bwlPdyn8vEPxnndP9IoL0Vla4TITB87nYn5yPBK7ROLW/QqsP5ypszYPAHOTFZBKgN3n+KLs35N7o4M8ED9u3YcJY4fz4pRKpbhfWonaOvVsOqmE4Y1PmDQwDsF+nkaHZe5NzcGkAXFQsayO2MsuKEWwn6co4zuZuwTDE+RgWRYJrVvg6YFxuF9WDR8Ll7FM7UNNBIQtcNS/k6ILhSMiIvD666/j9ddfx6FDh/D222/jk08+QUFBAQIDA20Ro4Z58+ZhypQp6NGjB3r16oXly5ejvLxc0w1FENbAVT2CbNExBfBvroWl1fD2cEPnqCD8cuwaT5wM6NASv5/PhVLFajITsw0s/3Bor83PGROPp/o/aHsO8pVhdLcoBPl4IjQiCnfysnnxdZ/yPpq36YJjl2+bPYepYZksgH31Au7xxXs02ycPikO7iABcv11itjh6zhgF6pQq+Hl54MejmfD38sDDncN13g9LJ34b24fsHghb4Kh/Jy3qfqqqqsIvv/yC1atX48SJE3jiiSfg7e1t7dh4PPnkk7h79y7efPNN3L59G126dMGuXbt4xcME0RAc2SPIGm2T5rJ+3DksvbkG+cpQVavE1E8PGBUn214bhfKqOvh4usHDTSKqOFYqgSZTUl2rxNWMy2jeubPB2Ia/sxUMw4guwN12OsvgUpe+gOPa2xmGga+3Bw6k55oc2rnnXDYU0c1xPqsQ3/x+GQCwYnv6g44mEVYOhrx69PchuwfCVjjq30lRoubEiRP4+uuv8dNPPyEmJgbTp0/Hxo0bbZ6h0WbGjBlNYrmJsB+O6BHUGG2T2ucoq6wR7FmjfXNlAAyLl+PIxdtoV18fww2MrFOqwLLQCDIvDykA4LE+MYJnTk0b0g4t/LxQWaMWUYMHDsCJE8d5+3aZ8DpCOvTV/GytAlx9Aafd3h7q74W0m4U6Qzv165Gig32Q2CVSx2NHX1BZMr/J2D5k90DYCkf8OwmIEDWdOnXCnTt3MHHiRBw6dAgJCY7f9UEQluBoHkGN0Tapf452EQFYMb2f6Jvr8AQ5WgZ448adUqyY3g95heXIL6pAbJg/CkursTctRyPIuH1ZljU7c4pruQ7y8UR+cSW+33kM8ycMNRzT21vA6DUwWKMAV1vAGSqu5oqxl29Lx5ItqaI9djTTx309BRV1q1QqRAf74EpeEdk9EI2Oo/2d5BAsai5evIhmzZph7dq1+O6774zuV1hYaJXACMKeOJJHUGO0Teqf41JukWADvT3nsnElr0htu5+kQHlVLbq3UXc4xUcHma1jmT/W/GgD7Zbrf7/6Au5eOsHbZ/U332DAiEfw0v+O8B6z1EdGG07AnbtRgLWzhvAyZKaKsYfHyxEaYNpjR7ugUsIwZou6YeRcZPdANBaO9HeSw6lmPxFEY+EoHkFi2yZb+HmCFVlzY+wcOgZ6A+OwV8uAjrsGf2UX4m5pJb6dORihAd7ILihDZAsfLN6ciux7ZVgwLsFsHcuMUZ1Mrs1z9TBvrtmP96YNM7jPsLc2ozAoGrFh/mgfHoBLepkQS4dlAg/+OM9OUkDFsni4Uzg83aUP6psA3rXWL8a+nFuEDzYa99jh4AoqxRR1k90DYS8c5e+kNk41+4kgGhNH8AgS2zb5VL9Y/HAkU1TNjZBz+Hq644m+MfBwl6K2TgWJhIFSpUIHeSDahgfgTnEllm5VD2mUShjsS8vBgnEJJutYuCUlmbsUiQnG63eSe0TjqUnPYMN6foa43ei/I7rPWAAPhN3zwztg/re6o1PEDNlMTIjEneIKJHWL4hX5XswpxIzR6oLe/OJKk/VNmqJIlsXpawVmBQ3AL6gUYuVAdg+EPXGEv5PaOM3sJ4KwF/a8aYhum5QwOt4yQmpujJ3DkMsuB1cQPGeMAjfulMLP2wPzkhNQq1ThxyOZYGG+joU7/vrDmZg0MM7g2nxtRSmGJxh2AR/6r02QuntoftZevklMkOukw8XOtWruK8PM0Z1RXavEtfwSnLtRgN5xIRgWLwcL1mzrufa1dtSCSoKwJo4irgWJmqCgIFy5cgUtWrQQdNCoqCgcPnwY0dHRDQqOIJoyXPGu/rJJe72uovKqOpzIyEedUoXaOhXaRwTgUm4RAGE1N4ZaM8W2QM/++igiW/jo1MeYqmPRP36wnyevfufy7tW4eXQT77ltBk9Em8ETDR6XW74xlA4XOtcq83YxWof4AgDc3SToIA9Eu4gASOuLjxdvFlff5KgFlQThiggSNUVFRdi5cyf8/f0FHfTevXtQKpUNCowgmjoShsGF7PuaZROJ1tDFvMJyHUfcYfHqJZLaOiVWTO+nM58JMG1VbiiTILYFekyPaCzekoqXtOpjTNWx6B9fu35nbJeWaBttePTJkNd/gpvMuCdWkK8MNXUqyNyl8PV00yyZ1dQqNSlxQzVC2oW8XVq30NS1SOtT6QBwIasQgT4yi2zhHbGgkiBcEaqpIQgHhCve/WrfRSyvb60W0kk0Z4wCV28XY7AiAsADZ1xzVuX6mQRLW6CPXrqtqY8xVceif3ylisWSrWlY8dV32PGf13nnee6FfyI7YrTZ5Zvh8XK4SRmTS2ZzkxVo7iPjCR4ACA/y1ukuAh50hr2Q2FHwNdG/1o5YUEkQroggUaNSqWwdB0EQWnDFuxfrW6vnjFHATSoRvBx09XYxErtE6jjj6luVa5vtlVbUYI7W8o+lLdDatSum6lj0j69S1uHw0umoLuVbQvxv+0k8O7qn0dfOMTxBnW1Zl5Ih6BrN//qozqTtYfFyzB2jQGFZFYJ8PNXPqReXOffKRM9l0q+NcbSCSoJwRRpnxDZBEKLQLt5dvj0d+cWVyC+uFLT0cbuoAq1CfFFeXYvkHg/q2rjOGkDLbG9zKqas/B2zVh/F7/UW/6tfehg1tUqLWqAv5Rbhr+xCzE1WIKqFj8brJjFBDu1btvbSVEHGaex7ZzxP0ET1GYvEd7dB5uOP6lqlweMAXIGtuuW6vKoW6w5dMXuNbt2v0Lk2nOBZvj0dQT6eKCyr0rRsl1bUYPn0fqhTibeFNwTDMJBKJDr/JQjCOlD3E0E4INrFu0oVCz8vD8FLH/vScvBYnxg0k7njoXYtAaTyOmv0zfa45R/O4v/hzmEWzyA6e6MAsWH+mD9W3dJ9804pr47lTnEFhnYOw4tPDEf53SzecQe/+gPcvX01S0pHL95Cu4gA9fLNwDjsMeCZU6dS4bc/G+YazNUIVVTXwt/bAwwYtArxxeLNqejSurmotnDqYiKIxocyNQThgHDFu9xtUexykMxdittFFfCSqecrcZ01DMOAZVmjWZ/LeUVYvCUVZ6/f09TZmIJz2d166iaA+mUchRyHLtzCrK+P4kL2fYTWj0II8fPEU/3aYMbozrh6/iwiWvjxBE3s0GeQ+O42uHv7ao4fGuCNztFBCKlfWkq7WYjxvVpjxujOGNezNVJv3MO6lAwwALq0Etahacw1mBM84UHNIGEYSCQMlm9Lx960HGw9dRPhQc0EXRPuWhME0bhQpoYgHBD9NmBLHHH3peXgqX5qzxb9GUWc2Z6x9vBO8iBk3ioWPCaBq03hRMjWevdc5rS6+LZTZBCWbEnDntRs/Pm//0NR9kVe3IP+7zvIfAJ5x796uxhtWvqbranJL6rA/LEJaBceYNboTt81WJvC0mp4ukuhYlkUaDktCx0dQV1MBGE/SNQQhIOi3QYsxhGXWw4qLK2GVKJuYdafUVRUXo35yfFG28Obebqhuk6JO/VCQX/JR9tld/n2dJ0beuatYmTeLsb8sfFITIhERU0dbt+vwMZdB3H8izm8mF955RXM+r9/YX96rsHjSyUMfDzdBbdSG5uwbegaGSLIV6Zphdd3WtZuPZ/QP1YnZupiIgj7I1rUnDlzBu7u7lAoFACAzZs345tvvkHHjh3x9ttvw8PDw8wRCIIQgnYbMNeRI2Zqdq+4YI3lPqPX9TSqaxSi62tF9FufT1+9i+eHdUB7eQAkDIOq2jooVSwe7dMa3h5uULEsqmqU2HkmC6WVNfj02X6ICvaFm0SdBQoP8sZbT3TXDLX8+/AOGDk6CanHD/LiHTBvNSri2uJC9n2M79UaPp5uUKpYHDifh0Wb1NmeXxYkimqlfqxPDBZvSRV0jfThuqCkEvW111/y0689Gt+rtVoA1iohq58HRYKGIOyHaFHzwgsv4NVXX4VCocC1a9fw1FNP4ZFHHsHPP/+MiooKLF++3AZhEkTThLtBBjaTQalSCXLE5aZmv/F4N4PFqhKGQWwYfzlHqmXud+t+BdYfztTN3sjcsedcNnaezUJSt2gMUURA5i5FfnElftSbN9W7bSjSb97D5v1/4OXxXXgxyHuOQsfklwCo63i4zEpStyjMGN1ZR5SIrSfyrJ8lJXTJTJvhCXK0DPDGiSv56BgZZHTJTztmAJg8KA6P9YmBh5vE6DgKgiBsj2hRc+XKFXTp0gUA8PPPP2PgwIFYv349jh49iqeeeopEDWFzNNORRUyidnY4d1uWZTF/bAImDojDvjTjy0HmLPcNFQqbmvXEmfvNHqPO0KpYFhKJYZM7bt+zP3+CI99/zzt3v9n/RbPmEQbjMlTrIraeqKZOZXB5iHMNPp91Dyvql5E4tCdxsyyL4soaXMq5j+EmBm1qP3eoQo4jF28j7eY9o+MoCIKwPaJFDcuyGjO+ffv2YcyYMQCAyMhIFBQUWDc6gtBC2yzO1HRkR6choowr9A3198TjfWMgc5eivKoOx6/kY9Gms7iSV2S2WNXQVG6xs54AGN23vPAWXh4/hre9pWIQ4p942fhrg+FalxMZ+SaneOs/P+WvW9h66qbO8hBXAH3jTil6tw3F6hmDdVx9tUXh+axCzEpSQCpRvy9ilvyu5BUZHUfR1GmKX0aIxke0qOnRowfef/99DBs2DIcOHcLnn38OALh+/TpCQ0OtHiBBAFpmcVvSBE9HdjSsJcq4WhsvDzfkF1dqbs694oLxxuPdzB7L0FRuMbOeXhzRESWVtQb3vbjtc2Sf3M7bnp6ejl1XlYLFgTZ3iisRGuAtSlzoLw9pM2eMAsPi5TqC5/iVfPxwJAPx0c3x/PCOkNTXBxWWVOk4LQtZzjI1jqIp4ipfRgjnQLSoWb58OSZNmoTffvsNr7/+OmJjYwEAv/zyCx566CGrB0gQAN8sThshk6jtjbVFWUMs91UsizHdozB9SHvNTV3mLsH+tFxBxbgShuHd4KuKC5CyZCpv//heA3D4wD4cv5KP2WMiRIkDbvuT/dpApWLNiovZJmpltMnIK8aILpF4fPEeAA9qieYlJ/A6wRIT5HCTSjAvOd5otxO35MdhaERCU8UVvowQzoVoURMfH4/09HTe9k8++QRSqdQqQRGENtz8HUumIzsKthJlXK0NAEGZARXLQiqRwMfTXefmPaJLJEZ1i4JUwuhM9zaEh7tUJ9OTsW8trqf8xNuv9wtLMTF5GHy83HVaoXkTshPkCPX3RkV1Le6UVCKpW5RODQzLsvgz4w6KKmsMDoQcppCjZaA3Mm8V64gLY+jX7QitJWJZ6GR3pBLgRMYdzdBQ7eNzXWdNHWf/MkI4H6JFTV1dHS5cuIDbt28DAFq2bImOHTvC09PT6sERBGC4BsQQ5iZR2wtHEWVCvzU/3DlcU5dyKbeIdxxuLlR1WREO/ftp3uP+8nbo9dwnYCQSjYDQb4XWbg9nGAZKlQpVtUo80rs1vDweLAlt23gWkS18MGeMAr+n5+Jkxh10igzUERellTWorKmDt8wNKhNiDHiQ1eHqdsTWEqlYVlOfU6dUoV/7MN7xTY1IaEp1JY7yuSeaFoJFjUqlwptvvonPPvsMxcXFOo/5+/tjxowZeOeddyCR0OQFwroYqgExhiOm/h1FlIn51tylVQsMi5drlla4zA0D9eu5fHADDv37Td5xekxbhKDWCs2+w+J1C38v5xXhypYipN3kipnVyz/G4gKAS3lFmriqa+vwe3oe3N0kGhdkLw8p9qbmYFS3KEF1N6H+3th6Sl23I6aWaPKgtnCXMth+JktTWKzOfDGa62Os66wp1pU4yueeaFoIFjWvvvoq1qxZg48++ggjRozQFAXn5+djz549+Ne//oWamhp8/PHHNguWaJpoD3c0hyOm/h1BlIn51jxxQBzOZxUi9cY9TQs3t8TSr40fmnnyDTa9W8jRb8ZnYCQPlqA5zxc3iQRPD4zjdRql37yHDvJAVFQ/KDo2NrZh26mbyC+qQLCfF0Z1i9KpfZk1ujOu3CqGVMAIg9lJCqhYFlfq6256x4WKMvab0D8WIX5emLbqAIbFq4XZnCQFlm5NM9p11lTrShzhc080PQSLmrVr1+K7777DiBEjdLa3atUKf//73xEdHY1nnnmGRA1hdbjhjs46HdkRRJmYb83cBOvFW1I1GZLtp7OQ/ed2vPnmIt5zuj39Nlq07aH5WXtkQnFFNc5dL+B1GnEdSokJcswfm4D2EYEY3S3S6NiGYfFyZN4uRgs/TyzerCsOpg9pjyAfmckRBpyQyrxdjNYhvpqMjlhjP4ZhMDxBjn4dWsLLQ+0kPDxBjt5tQ+DvLTOYcWmqdSWO8Lknmh6CRU1paSnCw8ONPh4WFoby8nKrBEUQ2ugPdzSGOcM5e+EIokzst2ZugvXe1Bw80i0MK5/rz9svOCQEuTk5KCirNWgEmH7zHtrLA6FiWU2nkT57U3MwaWAcXh6XgJAAL5PFuuruJ4b3GdCei2VohAEnpD7adBavP94NDMNonJmFGvtJJQxGd4+ChGGQX1SBPak5vCUklUqlqQ/iamWacl2JI3zuiaaHYFHz8MMPY8GCBfj+++/RokULnccKCgrwyiuv4OGHH7Z2fAQBQHe4o7NNR3YEUSb2WzPXHZR7bj/aRPKN9Ea9+B52/OcNrEvJQKi/l9lMzLbTWQZbrVkA564XYGTXKMHFuvpTuLeeuqnJ5uxNyzHqUZOodX25mVoVNXUYHm/e2G9OkgKtgg3PytIWXZdz7+PMtYIHQsdEhkx/qa2mVumQn19LcYTPPdH0ECxqvvjiC4wePRphYWFQKBQ6NTXp6eno2LEjtm3bZrNAiaaN9nBH/ZZeZ5iOzImyeWPjNXUiXHdRY4gyMd+ahyrkSEm/iX3vPgpVXY3ucdzcMXjhj5j3eC/kFZZj3aErJo/H1eiYmpwdHexrcGyDoWM9PZB/rEu5RdgjoJ5G+/py19jLXQrvQNPGfmI7pP6756JG6MwfG8/LkGnP2NJfanO1wmFn/jJCOCeCRU1kZCRSU1Oxe/duHD9+XNPS3atXL3z44YdITEykzifCpjTEcK6hWNqKy+17V6/rZXjCgzoRPy8Pm9/IxHxrPnZgFx577DHeY50emYuIrkMBiCuw5Wp0jNE6xBc/H7sm6Fh70wwfS8cHZ0Ac9moth+mLXv33kmFh8sb79+EdBIsuTsAt3lKEvWk5eGlUJ16GTIgvjqsUDjv7lxHC+RDlUyORSDBq1CiMGjXKVvEQhFnEGs41hIa04grtemEaQZRx8Zi6eQ/pFIol/xiFW7du8Z7729GL+M/+q5qfxRbYcjU6+jAAZHpmfpYcS9sHZ3ZSZ4Oil60/n6H3MtjP02iBcYi/J9YfzrRIwB29dFtnbpUlM7acHXt+GSGaHqLN906ePIljx47pmO899NBD6Nmzp9WDIwh70tBWXEfrejH1rVl65yImPsb/HR7/91fx638XYdbXR3W2i52crT95m2N4gtzieh9DXMkrgq+XhyaTxoleoe+lp4eUVx80ND7CYtGlX+8j1hfHlQqHG/PLCNF0ESxq7ty5g8ceewxHjx5FVFSUTk3N3Llz0a9fP2zcuBEhISE2C5YgGpOGiBJ7dr2YWirj/htc/62ZVamgUMTj0qWLvOO8+30KXnuyH85n3dP4unCcyMjHMAEFtoYM+LjtnG9MeVWd4Cnc2scy5GmTVVBqsOhUzHv5fUoGvtOqFerTNtRi0XUptwh/ZRdqMmSW+OKQACAI4QgWNf/85z+hVCpx8eJFtGvXTuexy5cvY/r06XjppZfw888/Wz1IgmhsGipK7OGmKmapTMIwOJiSgsEGOhafeH4eVn3yPkL8vZB7rwydo5pj9UsP6yzLdGnVAi38PAXV6LQM8Ia7m64BH+fsy82iEjqFu2WANw6k52J+crzRQlsAOq9V7Hs5cUAsBncO17zeO8UVgkXXUAVfwJ29UYD2EQGYPzYBLMuSIR1B2BDBomb37t1ISUnhCRoAaNeuHVauXEkt3YTL0FBR0thuqmKWygCgf//++OOPP3jHuXXrFoJDQsAwDH48molvfr+MduEBBn1ffL3czXYczUpS4PiVfCS0ao6n+rWBm1SCOhWLg+fzsPXUWU1r9vzkeEHHyr1Xhif7x0KlYgUX2op9L5/o2wYXsu9rXm9ltRLNPN0Eia6wQG8s2nRWN/b4SI3AIkM6grAtgkWNTCZDSUmJ0cdLS0shkwn7ZSUIR8dSUcJlCBr75iVhGHx/OBNdWjfHC4kddUYMbD11U7O8Mii81mD9W6v+j6Nt4lRM/eq0xnOltk4FAGAY9T9tGAbYcPQqSirqJ2cPjMMercnb3OTsPeeycSG7EH3ahmLW10fxwcRe+O3kdaxLydA5nhA34D3nsnGvrAoT+sdh6Tbhy4Ji30t3NwkWb0nV2f71PwdhrrmW8XrRpe2ho+/BwpAhHUHYFMGi5sknn8SUKVOwbNkyDB06FH5+fgCAkpIS7N+/H/PmzcOECRNsFihBNCZiRUlZVR3+u+cvTYagMd1UWZZFZY0SkwbGGR0xsPtsFiY/9RgWXDnFe/7A+d/A0z9YfSyoRcGo+pEFof5evGWetmH+GNQpDIM7h0PCMKhTquDj5Y5He8fASyaFUsXibnElZn99FFHBPpidpMCec9m4nFdktGtKf4o3lyVhWRa/p+fho01nERXsg7ljFILbq7llQbHvZU2tUmdb+4gAyJv7IP3mPZOi63zWPXSOao524QG4klek48HCQv2ZKCqvdmlDuqY0hZxwTASLmqVLl0KlUuGpp55CXV0dPDzUQ+1qamrg5uaGZ599FosXL7ZZoATRmIg1qzt+JZ+XIWism5eKZeHhJjG6HNPZvwpLZj/Oe56852h0TP6nwWN+tfcilk57CEO0/FQkeqZx+9NzH/juxD/IzNwtrcRjvWPw+uPdEOLvhcxbxZpMjLmuKW034MmD4vBYnxjkF1dojqVUqUQvC2q/l+2MDMzceuomLucWITEhElIpgw4RAbiYq46D61h6ee1xtDWyFLdo01lcySvCmpmDMTupM3y1vIdYQGdpcJ6ApTZnM6RrilPICcdE1PLT559/jo8//hinTp1Cfr66GK5ly5bo3r27JnNDEK6AGLM67ToK7QwBC9Ombta6eUklEqO+J6m/fILdaYd42/vN/i+aNY8wekwus6C9zCPENG72GAUy8oogc5ci2F0KlmWx/UwWlCr13tpzmoRksGTuUjzWJwZ5heVwkzIIbCYTvSzIvZefPNMHiujmRrNZ57PuIcTfC4VlVVg+vR/2nMvG8u3pOh1LxkYwcOxLy9EIKUD9OWIAnc4rHaPAgXHYq71sF68uhq6oroO3zM0pxEBTnUJOOCaifWr8/PwwZMgQW8RCEA4Dl0Y3J0pmaS2tAHqFwxKJzd1UjXX2VBTewpHlz/P2f2rCBPSZtBA7zmSZPG5yj2jcvl+hOa5Y0zhuqKP+0o++b4sxuAzW0q2piI9ursmsKFWGl5IMtXffKa7Q1CqpVCw6RgaaLi4eo66JefY/hzR1RYB4o0HtJRdD7w+31Obv7YEescF4vG8MZO5STdbnw43qrI+ziAFH82MimjaiRE1BQQFWr15t0Hxv6tSpCA4OtkmQBNFYaKfR96Zmo2vrFgZFiXbxKvfNm0O7cNiWbqqc8NJfjrm47XNkn9zO2//Db7bi/54ZjfWHM80eW99PRaxpnKe7FFW1SgT7eeos4wmd08R1Os1LTtDJrIzpHqXTXm1ujpJUIgHLspBIGCzeLOzG2zY8QOfnujqVxUXfxjqv2kcEoHfbUKMiEXAOMdCUp5ATjolgUfPnn39ixIgR8Pb2xrBhw9C2bVsAavO9lStX4qOPPsLu3bvRo0cPmwVLELbEUBr9u0MZaBcegMVT+uCJvjHw0PpGzU2i1sdQN5M13VS1hVeIn6cmi1BVfBcpS6bx9m8R1x1dn34bzYKjBdcK6WcnxJrGPdK7NZ5Z8jsmD2qLSQPjdDIzxjqd2ob7Y1CncHi4SSBhGIQGeONCViG+2ndRU99yLb8EK6b30xxP6Byl6hqlqNlNl7cUaW7EgT4egiZ5Gyr6NtZ55SrOwvbwYyIIUwgWNTNnzsQTTzyBL774gvfLxbIs/vGPf2DmzJk4duyY1YMkiMbAWBr9cl4RUv66hY7yQEz/7KBdW3H1hdfPCxIR5CNDxt5vcf0w3/iy9wtL4R+h/gLCiS0htULVtUqd7ITYJRgvDzewANYeuoKEVkE6y3j6nU6P942BzE0KiYRBflEF9qTm6NS7aNe3aGd6woO8RS2JtQ0PMChCtffXnt2kLdBaGpjkrb/kVV2rhKe7lGfCaCjLY4mzsARwuM6ixvZjIghzCBY1qampWLNmjcFfIoZhMHfuXHTt2tWqwRFEY2EujS62FsRW6AuvXccv4Jkh/N87/8j26PXcJw/GI+CB2BJSK+ThJkFilwfZiYbMenrluxP4eUGiwWW8hFbNIasvKF682Xih6ez6+pYlW9M0mZ4J/WORX1QhKNsxaeCDDIwp9Gc3cQJNe8ns9/RczDax5KVdK2UsM2ZJnY4jdhaRmSDhaAgWNS1btsTJkyfRvn17g4+fPHlSMw+KcD6aur8El0Y31fIrtBakoroOXh5Sq18/feF1PeVn/O3Nb3n79Zj+EYJaddbZpi22GAAqmC5grq1TItT/QXZCTNeS/qiAOhWLTSeuYUL/WIO1RYyIQtNtp7PAMIBEwkCpYrFH730weN2g7krSnp5tDH1Bxv2svWT2j8SOkLlLBTsaG8qMiRWJVbVKTFn5u8N1FjWmHxNBCEGwqFmwYAH+/ve/4/Tp0xg6dKjOQMv9+/fjq6++Ip8aJ4T8JdRIGAbdYlpg8qC2Rlt+96Rm42B6rtnC4bullXiqn/VrBzjhVVNZhgOLnuI9HiKPQZfnlgESqWabodZxbglr3eFM/O2hGF6t0NZTN3E5r0hndME2EZkq/VEBgG5XkHZtkXoWUpVRJ+RL9bU0XL3LK+MTENHcB7fuV0AqEbf0oZ2BMYS+INP+mVsyO59ViHljEwQveXHXeo6eGBYjEofFy3Hk4m3efo7QWSTG+sAZzQQJ50OwqHnppZfQokULLFu2DP/5z3+gVKpdN6VSKbp37441a9bgb3/7m80CJawP+Us8QMWy6oJgMx4sB9JzsfNsFoYqIgwasF3OK0JStyibfCOVMAw2//gtDnzxIe+x91etxesvTdaY4hlrHedELJcZmTggFp/uPm+wxVs7O5FXWI7MW8W8mzOHsRZ3Dv2lBy4zyIBBkI8nOkcFGRaS9bU0ShWL1BsFSEyQo7KmDqEBXkbbuw0R5CtDtZ5TsD76gsyQQItv1Vx0ge/FnCLEhfvrjJMoLK1CeFAzwUM8P9x41ug+9i4mFrKc6WxmgoTzIqql+8knn8STTz6J2tpaFBQUAABatGgBd3d3mwRH2Bbyl3iAKQM7/WtRUFKFQxdu8eYDcdiidqCsrAy+vr687b6BLdB71v+QUuiG/K+P8txus+6WIsTfSyNowLK4VfRgzICpZRD9gt4BHVpCImEEtbjrF9GqVLqi6k5JFUoratAqxBdLzdXSMABYILFLJPKLKzUZxZdGdsJwgdOzExPkkLlJkJggNyvIruQVIdGIQLOkwDfQR4YNR6/C3U2Cnm2C8VT/WLhJ1OMlzInE2UlqMTCmexQybxdrTAyNncse9SoShrG5HxNBCEW0+R4AuLu7IywszNqxEI0I+Us8QMy1mDQwDqH+Xth66qbBfRpaO2Cotum7777DlClTePt++c06bMwO0NwMDbndMgDWzhqCYD9PSBgGlbVKHQEhZBnkcl4RrmwpQkKr5mjhpjYU1K6NqapV4sjF21i06Swybxcb9Y15rE8MZO4SLN6Shpx7ZVg+vZ9gIVmnVOlk0aQSBjNHdUbLAH5Xkj7qpQ9vqFjW5I33r+xC3C2txLczByM0wLAHkdgCX4ZhdDrmvvn9smZJafYYBe4UVZgVieezCjEz6UGhtLFz2bNexZZ+TAQhBotEjSGuXr2K559/Hr///ru1DqnDBx98gO3bt+PcuXPw8PBAUVGRTc7TVCB/iQeIuRb70nLwRN82RluDLa0dMFTb5OMOzBjXC1VVVTr7unnIkHf7Lnal3QKbnWHkiA9i5t6/gpIqBGv52gDiu7p2nslC9zbBCPH3gqT++B5uEqTdvIcreUWYlxxv0DemfUQAJg9qqxExL49LELWMc6e4Uie+OUkKqFgWF24WCirezrxdDHlQM7i7SXRuvNW1ShSWVaO8qg7t5YGIbOGLizmFCA3wRkRQM2yYN1ynzqeyRnwXmJBamLvFlUaXM7nncIXSQr2R7IE1/ZgIwhKsJmrKyspw6BB/xoy1qKmpwRNPPIG+ffvi66+/ttl5mgrkL/EAsdfC3U3CrYhoaEjtgKHapvwLR5G6YRFv3xX/+RI7CsLRPMBH9Pu351w2xvdqrXNT5nxf5oxRYFS3SES18NW5iW87dRORLXw0SzHLt6drMg1zkxWa4t/5YxMwbUg7BPl4Gsy+6JvNiV3G0e5c0h7Z8Pv5XMxJUhicns3NUTp+JR/Rwb64ll+CDvJAzY2XZVl4erhBKq3FphPXcL+sGs39ZBhff64W/l68Oh9vDzfBS176XWD67E3NwYsjOqKkshYLvj1m8nj6xoD656LOIoJQI1jUrFy50uTjubm5DQ7GFO+88w4AYM2aNTY9T1OB/CUeIPZasCyLb2cNsVrtgHZtk0pZh5Ql01BTdp+3X2lpKQ5fKQS7PV10S7CKZVFYVs1bbpJKGIAB3KQStPDTvYkPT1BncFiWxb7UHM1SjLF6q4BmMuQXV+pkX7jamoc7heOHI5maG7fYZRztziVtgcQCOnU/+tkON4kEvp7uCAv0RssAL3VGDPWDJrWWTLj5S7V1KkgljNGCcUMOyYYw1gWmDTc0VD/DZGxfbWNA/XNRZxFBqBEsaubMmYOwsDB4eHgYfLympsZqQVmL6upqVFc/+MNZUlJix2gcC/KXeIAl18JatQPa9TwFGadx5ru3ePu0T3oB0b2TUaGUIjrYB4D4adcMgCAfGW+5aU6SAoM7m5+8zQK8IlX9eitWaxlPfyaTfvt1Q8z8DGV5jE3PnjwoDhP6xyLzVjG2n8ni2RUAwJ2SKkxZ+TvaRQRghZk6H0MOycYKfA11genj4S61WNxRZxFB8BEsaqKjo/Hxxx8bbds+d+4cunfvbrXArMGiRYs0GR5CF/KXeICl18IatQMqlsWu0zdwZOU/UF7AP/fghT/C3ctHswzzeJ8YAOJrYVQsiwn9YzFpYByqa5WYm6yAIjpI1JgB/XoO/Xor7WU8/ZlM3DgHDjGibHi87jKOJW68s1Yf1YgybbsCBtAIseQe0bgtwKH4le9O4KcFww0ueXEZu8xbxbwiY0PU6I2jMEWQrww1tUokdYvSWV4jQUMQD5AI3bF79+44ffq00ce5b2piePXVVzVpYGP/Ll26JOqY2ixcuBDFxcWaf9nZ2RYfyxXh/CUSE+TQ/5PItcFy3wJdHXtdi6NHjmDq0I48QRM77BkkvrsN7l4+mm2FpdWQuUvBQHfatZCY75ZU4Ycjmfh0x3n89MdVFJRUITFBjvxiYWMGbt2vQHKPaN5j2vVW3DIeV/OyYls69qbpms1xcW49dVPj02KK4QlyhAZ4Y5tWt5nYLE9ZVZ1OlokTa8u3pUMikcDdTf1ncECHMEFLQXUqFr+euI7yqjpcyL6P8b1aY8boznisTwxa+HmCZVn4entAZaD9WhuuLiuxSyTv/TO07/B4OSQSBjNGd8a4nq1RXlULpUpFgoYgtBCcqXn33XdRUVFh9PGOHTvi+vXrok4+f/58TJ061eQ+MTExoo6pjUwmg0wm7I9fU4T8JR7Q2NeCZVn069fP4ADYQf/3HRLateaNa7hTXAEVy2qyM8amXWvHrFKpsGxrGm+cwPcpGfj1lRHYc65h9RxBvjIoVSykkgfLeGGB3rzOJv3MkrYoM7eMo2JZRLbwwaX6LFFDRjZowy2f9WwTjGOX8+HhJhE3tFMm1fEq4pa6JBKJ4Myfl4cbvDzcBO0bGuCNWV8fxeW8Ik2rvisvCxOEJQgWNR07djT5uLu7O6Kj+d/kTBEcHIzg4GBRzyGsC3eTDtarEdEMQmxCfzQby2vj1KlT6NmzJ297q/6Po8PIaUZ9XkZ0iYRUIsG8ZAWkEmD3uRyDRbLa4mvp1nSjS0uyBtRzAA9Ew827pWgV4gtp/c3cr31L/HLsmo7gMCRijImytuH+GNgxDDJ3qc4AzvAgb6w9eEXU0pupYl1u+eypfrFI7hGNOpEOxdp1Pvq1Z2JcdlnA7L76RoBNYVmYICzBai3dtiYrKwuFhYXIysqCUqnEuXPnAACxsbHw8fEx/WTCKNxN+24Tn/3EYcvBnizLIikpCTt37uQ99vpXu/DnrTpeLYqx0RVzxsRj4sAHGaX84gpU1tTB18td8xz9TiQAOk6/rMiuL+2bOPBANGw4momYUD8A6s+TpxGxpC1iJg2I02RslCyLQR3DMHFALBgwkEgY3C6qwN7juoJu4oA4jO/VCptOXMdf2YUWj2zQprC0GlIJg37tW6Kyuk5UwXhpZQ3aRwTgUm4RT2SIyfxxy1BCnJqpOJggTMOwIooELl68iKqqKnTt2hWA2pvmH//4Bw4fPowePXrgP//5j80mdU+dOhXffvstb/uBAwfw8MMPCzpGSUkJ/P39UVxcDD8/PytH6Hxw/ijLtqbzbqCGvEhcGU7AaNvwW1PcnT9/HgqFgrf9xRdfxKrPPgPLsthw9ComDogzWrjLkZggx/yxCVCqVA8ya9BtU1aqVFh/OBPrUtTmfPrdSPvTc9G9TTCCmskwddUBszfxb2YMxvmsQizekqojGg6k5+JOSaW6WFgiMXhufTa9PAK3i8oR4u+t037t6+WO7m2CsWKb6c8j91pZloVEItG8Z/qiQXtulDE0S0Za107o9S8oqUILP0+cz7qHDvJAo78nYoSy/r7VdSocOp+HjFvFTXJZmCA4hN6/RYmakSNHYtSoUZg9ezYA4JVXXsGvv/6KWbNm4fvvv0erVq3www8/NDx6G0Giho/QP+CujK3F3aRJk7B+/Xre9oyMDMTGxgLAg/bi4kpM+dS8yFg7awhKK2uw7TS/TZm74a/c8WBQ5fx6p19twdDeTAszB/cZ2HA0E7VKlU72YMX2dHwzY7DOGA2uTX3Kyt8Nvo6XxyWgozxQZ3yA2Fi00RYCVbVK3C+rhrtUgslGzq9/HYPri3vvFFch7eY9DFZEYOX2dJMZoAPpuVi6Ne2B0Krv/rI2tswcEoQzIfT+LWr56a+//tJpkf7555/x6aefIikpCcOHD8eAAQMsj5hoVGj20wNsNdgzMzMTcXFxvO0TJkzgiRyGYaBUqXgFvYbQdtnlRIv+VHVtQ0FtB17t1yimWLemToknHmrDs/BPNFDbYa5F3lBNjL7jsDEMfR45h2Du9XECSUyLvoplsTctBz8cyQSgfq8nDojDvrQco0tBjTH0lcYOEIQ4BImaadOmAQDy8/OxePFi+Pj4oKysDFlZWdiwYQM2btwIlmVRWFiI6dOnAwBWr15tu6iJBkOzn9TYStz985//xOeff87bfv78eXTq1Mngc8SOa9Au3NW/wUoATX2IKcEgpIPqfNY9vPLdCdRpLePot4zrXxNThbKXc4twPuuezuOWTL+W6mWGuNcnVKxpx85de+3J5K8+0gVP9Y+FVMIYnMfE0RSEP0E4C4JEzTfffAMA+OOPP/D444/jySefxP/+9z/cvHkTa9euBQDcvn0b27ZtIzHjJNDsJzXWFnfZ2dmIioribR89ejS2bdtm8qYndlyDfuEuoHuD5bIlpgSD9k08uUc0nqgfF8AtdbAsi85RzbF6xmBRbe5CCmW1p2b7WGCop33d9N9DIWJNO3b9a385rwi+Xh748Yjx2iAO7c8GlyWjZSKCsA+ilp8mTJiAZ599FqtXr8aRI0ewatUqzWOHDx9Gly5drB0fYSNo9pMaa4q7hQsX4qOPPuJt//PPP9GjRw9BsQjtvjHmv6J9g2UATb2HudfIjRm4mHMfM0d31hT9cohtc9fUggBo4SvDpAGxYPSey/03xM+zQZ9HQ++hvljj2t2ra5WQuUt5sRu69pY4F6/ccb5Jdw8ShL0RJWrefvttREZG4ty5c5g2bRqeeuopzWN5eXmYN2+e1QMkbAPNflJjDXGXn5+Pli1b8vZ/6KGHcOTIEcE3NTHjGkz5r2iLr6paFWTukga/RqG1HZxouWPEIoAbJql/bO3lMrGfR1Pvof5MKK7bCQZi0L/2ljgXG6txImFDEI2DaJ+aZ5991uB2riOKcA5cYfaTNTpDGiruFi1ahNdee423f0pKikWF80JM28z5r3DCBAA2Hr+GduEBGJ4gt7mAValYsGCxeEuaSY8dY8LG0s+jhGEwLL7hr0//2jfEubgxiogJguDjNOZ7hPUR43rqSN80zWUDxMRr6c30/v37CAoK4u3XoUMHpKenQyqVin9hEFaLwnXfGHw90L1xF5ZV4/vDGaK7gcTAvR8SCYPFmy3vIrPk86hiWRSVVSMs0LvBr0//2p+5elczn8rSzJk9i4ipHZxoipCoacI44+wnzlPGkmyAqWPOS1bgpVGdIHOXoryqDicy8rH11E1crneL1b6Zrlq1CjNnzuQdZ+fOnRg5cmSDXyML9U3c18sdT/SNgYe7FDW1SrPFzIDujVupUiHIR4YdZ8R3AwmFez8uZN9HoI+sQV1klnweWZbF9jNZCPX3EjZHSqWCRGJ8jq/2qIzELnKoVA3LnNmje9Caop8gnA1R5nvODpnvGceZvtVZ0zDQmJPw8AQ5WgZ4o6K6Dt4y9TylsrIyg5+bli1bIisrC+7u7ha/Ju14zBkBzhmjwO/puViyNU3nMU6YcO+dtgmexICjsL7/inYRrxgWb07FC4kd8dvJ62Y7hYAHdS36xcjaCP08ciaDu89lm319f2UXooM8UPTnmhMB+s7Fw+LVnxFzzsVJ3aIwc3TnRvl9IpdwwlWxifke4bo4g8mXtT1lhGZ9WJbF2rVrDU6U/+WXX/DYY49Z+Ir4iDECVKpYk/b5+ktrhrqByqvqkHW3FGGB3qIFjfb7MW9svFUtAsQUJgf5yIx2O2n7y/SKC0a7iADRhbvGBp3euFOqmZptisbsHrSVkSRBOAskaginwdqeMkJuAHW11Xj76YGorta9YXt6euL+/fuQyWQ6M5ga8g1YrGgb0UWOkV0jTbZY69epaHcDNbRuSvv9ENspZK2bPMMwSNQqgtbvdtLsB+CNx7uhpKIGgT6eFp9L00YOwMfLA1fMCJrG7B4kl3CCsEDUKJVKrFmzBvv378edO3egUql0Hv/999+tFhxBaGNNTxkhN4D8C0ex8M1FvO1r1qzB5GeesfoATEtEm0TrRmsIW9ZNab8fYjqFrHmTlzAMQgOEFwkv3ZKKp03c0E0te+k/FuLnicmD2mLtoStmz9sYkEs4QVggambPno01a9YgKSkJnTs3zjoxQQDWNQw0dQNQKeuQsmQqasqKeI+VlpbCu1kzqxcrA7ZzeTa2fGLOQM8c2u+HoXlOhrDFTV5IMe+cJAVy75Vhd2oOQgK8eDd0U8W1Lfw8jT42aWAcEloFGRwj0djdg+QSThAWiJoff/wRP/30E0aPHm2LeAjCKNY0DDR2AyjIOI0z373F2/7pp59ixowZmp9tUbdga5dna9dNab8fYoZjWlqQbDQOCQMVW5+NGhiHPak5vGxU7r0y/OPLwwAMj1kwJlJD/b0wRBGBpdtMC9ifFyRi4/Frdu0eJJdwgrBA1Hh4eCA2NtYWsRCESaxpGKh/A2BVSvyx6iWUF/CP+8W2k3huVHf1fjasW3A2l2f990PIvKXM28VoHeLLc/RtKCzL4o/L+WgV4lvfWcVAqWJxp7gSS7akYk/qg/fL0JgFQyLV2HRzzTmhK2CtmQWzBGf7/BCELRAtaubPn48VK1Zg1apVtPRENDrWMgzUvgHcu3Eep1a/ytsnbtgUxAx8Ao/076y5AdiybsEZXZ713w9DHUgsy+L2/QrM/vooXn+8m01uphKGQZswf0xZ+buoG7opkWpqurk2+gLWXtkPZ/z8EIS1ES1qjhw5ggMHDmDnzp3o1KkTz5tj06ZNVguOcF5s5XtjrcJXhmEQ4ueJi9+/hqzLabzHB/3fOsh8Ang3AFvXLTiby7P2+zFxQBz2pamXfvKLK1BWVQtfL3fsSVVncYYqInSupTU+I9rHaOErw5IpffHlvou4lFtkcH/999OUSDU13VwnBjhO4a2zfX4IwtqIFjUBAQF45JFHbBEL4QI0hpupNQpfT506hZ49e/K2tx7wBOKGTzFpy2/LugVndHnmpm+H+nvi8b4xGldmzh/mSp6uKzMLNPgzYupztmJ6P54hnrH305RItWRKt71xxs8PQVgT0aLmm2++sUUchAtgixEGprCk8JVlWYwePRq7du3iPbb8p0NgvANN3gAao27BVt1K1sqeGToOdzP18nDTcd7tFReMNx7vprmWrPoAqKxVItjPE+N7tdaMpBD6GRHyOZszRoGYUD/sOJNl8v00JVLt5b1jCDHvna0+PwThDJD5HmE1HN3N9Pz581AoFLzt//znP7Fq1SreTQOw7jRpseiLNpZlLTL6s1b2zNxxOAzdTLmbslQiQb7e87lWcC67Yu4zIuZzNnN0Z5PvpymRai/vHW0a8t45g0s4QVgbQaKmW7du2L9/PwIDA9G1a1eTfwDPnDljteAI58HR3UwnTJiAH3/8kbc9MzMTbdq0AQDBNwBTdQsdIgLw/PAOaB8RoPPtuiGvtSE3Nmtlz8Qeh7uGTP3PFdV18HCTYPHmVKPPnz1GLTiXbk0z+hmx5HNmasaUKZFqT+8doPEznwThCggSNePGjYNMpk7Djh8/3pbxEE6Ko7qZZmZmIi4ujrd90qRJWLdunUXHNFS3UFxejZHdohDb0h/5xZVYfzjTai7DDbmxWSt7ZslxuNi/P5yJSQPjBLdGbzudZfQzYovPmTGRynnvzLHBdHMhOHrmkyAcEUGi5q233jL4/wTB4Yhupi+++CK++OIL3vbz58+jU6dODTq2ft0CAwYsWJOZCEtdhi29sVkre2bpcbjYu7RuLrg1euKAOCT3iMbFnPsGPyO2+JyZKq7t0roFpBKm0QtvHT3zSRCOCtXUEFbBkdxMs7OzERUVxds+evRobNu2zap//LWXWhZvtu636obe2KyV1bBoJhWgif2FxI6CW6P3p+dgXM/WyC+uMPgZsdXnzFRxrT0Kbx0180kQjo7xxWaCEAFXcGnuz6qt3UxfffVVg4Lmzz//xPbt221yA2JZFvnFlYLEx53iSrCsuVuVGrE3NpXeca2V1bDkONqxi22NbubpZvQzYuvPGcMwkEokOv8V8pi1ccTMJ0E4AyRqCKugXXBpCq6o0to3hPz8fDAMg48//lhn+0MPPQSVSoUePXpY7VxcFxL334aKD2M09MZmSVbDEJYcRzt2sa3R1bVKo58Re3/OGgNVfYG5Nd47gmhqkKghrAZXcJmYIOd9k1Z/c35QVGlNFi1ahJYtW/K2p6Sk4OjRo1a7sXE3jjslVVh/OBMrd5zH+sOZVv9WrS2WGnJjs1ZWw5LjaMfOtUYLef6weDlkbhKTnxFrf870Rar+88w9bk244upLOUWCrxnNcSKIB1hcU1NTU4Pr16+jTZs2cHOj0hyi4W6mYs3h7t+/j6CgIN72jh07Ii0tDVKp1FovzWQX0vhera1S56Hfut29TTCGx8uN+qS0jwhAco9o9I4LhY+nmyZG7ppZy1PHkuNIAI3/i5jW6JYB3oLmdlnDNddcq7xKxUIisa07tqHXtnhLGrLvlWHF9H40x4kgRCJajVRUVGDmzJn49ttvAQBXrlxBTEwMZs6ciYiICLz6Kn8wINF0sKSo0hIfllWrVmHmzJm8Y+3cuRMjR460+usy1YVkDZM2Q6Lp1NW7Bm9sUgmDOUkKJHaJRF5hOX47ed3oNbPWLCCxx9EXQnvOZWO2FVujG1q8a65V/pNn+qBjZCAWb248jxjtwnAWsPo1I4imgGhRs3DhQqSmpuLgwYM6N49hw4bh7bffJlFDABDuZirWh6W0tBR+fn6844SHh+PGjRu8AavWwFwXkjVM2gyJJs4nRf/GNidJgcGKCEHt49bKalhyHG0htGJ7OlD//An9Y7E/PdcqrdGWuuaaEqntIgKgiG4u2FfHWujXZi03cc2Gx8sRKiCrRRBNDdGi5rfffsOGDRvQp08fnV+mTp064erVq1YNjnB9xPiwfPvtt5g6dSpvv40bN+LRRx+1WYzmCoGNiQ8Oc9+qTYkm/Rtb6o17SOwSKeqGa62WZLHHMSSENhzNRI82weoWZIl9ZhKZE6nJPaIF++pY0yNGvzZLqWKxZGsatp3OQnKPaIzv1RrNPN1QXlWH7IJSpy2EJghbIlrU3L17FyEhIbzt5eXl9AtGiEKoD8uuU1fx2hO9UFNTo7Pd29sb9+7dg6enpy3DFFQIrC0+xGZETIkm/Rvb8AS54PZx/RuutWYBiTmOOf8Xe3irmBOpveNCBfvqWNMjxlhh+OW8IlzeUqSzbfKgOLSLCCBvGoLQQ3T3U48ePbB9+3bNz9wfrf/973/o27ev9SIjXB4hrdD5F45i33uP8QTNt99+i/LycpsLGkBYSzMnPnaezUKwrwwTB8Ri5ujOmNA/FsF+6hiNiX4houlyXhEWb0lFrVJlk/Zxa6PfMQSg0TxezGHueov11bFW55GjeD0RhDMjOlPz4YcfYtSoUfjrr79QV1eHFStW4K+//sIff/yBQ4cO2SJGwkUxdXNR1dUiZck01JQX8R4rLS2Fj4+PjaN7gKlJztowALrHBGtGBADCMiJiWrc93aUObcpmrYngto7R1PUW66tjLXfsxpwATxCuiuhMTf/+/XHu3DnU1dVBoVBgz549CAkJwbFjx9C9e3dbxEi4KMZuLnevnMK+dx/hCZpPV60Cy7KNKmgA2xu+ifmGrlQ5rimbpuh7cyqmrPwd61IysONMFtalZOCZlb9j8eZUzT72xNz1FuOrY+2Mib28ngjCVbDIYKZNmzb46quvrB0L0cTQz4CwKiWOrnoJFQX8b6lXbuQhNopvsNdYWKs12hBivqFLJcKzRo29ROEsU6XNXW9rdLNZirW61QiiqSJa1OzYsQNSqRQjRozQ2b57926oVCqMGjXKasERro32zWXD5p049c1C3j5xw6fihRlzEBcdZocIH2Drm41Q0QTAIZcoGjp8U6zxYkMxdb0v5xbhfNY9m4lYc9hjgCZBuAoMKzKPGR8fj48++gijR4/W2b5r1y688sorSE1NtWqA1qSkpAT+/v4oLi426HVCND5KlQoPPfQQTp44wXvs4f9bhzH9OmPOGIXNb3JisNUNmLtB5hdXmhRN3BLO8m3pJm+4jXnNlCoV1h/OxLqUDLP7Th4UV9/SLdFcP+41N2YNjrnrrR8bZUwIwn4IvX+LFjVeXl64ePEiWrVqpbP9xo0b6NSpE8rLyy0KuDEgUeNY/Pnnn+jVqxdv+7AnnsWUGf/XZG8eQkSTUAHUmDGv3HEeO85kmd03qVsUZo7urF5yZFks25rOMxHk5kDNTba9ODN3vRs7i0QQBB+h92/Ry0/+/v64du0aT9RkZmaiWbNmogMlmh4sy2LUqFHYvXs377EbN28iKjKySafbhfjAONoShSXDN6USiUPU4Ji73tby9yEIwvaI7n4aN24c5syZo+MenJmZifnz52Ps2LFWDY5wPc6fPw+JRMITNP/85z/Bsiyio6IcwsvEWdC+VlKJ+tfZmhOlhU6oFuuxwmWZhNTg3CmupG4fgiAEITpT8+9//xsjR45E+/btIZerW1xzcnIwYMAALF682OoBEq7DhAkT8OOPP/K2Z2Zmok2bNnaIyHWwtj+M2OOJ9VhRqsSZCFrLtZcgCNfGouWnP/74A3v37kVqaiq8vLwQHx+PgQMH2iI+wgXIzMxEXFwcb/ukSZOwbt06O0TkWogdCmqr44lpexfiosxhDxNBgiCcE4t8ahiGQWJiIhITE60dD+FivPjii/jiiy9428+fP49OnTrZISLXw9r+MJYeT0zbu1KlsotrL0EQro0gUbNy5Ur8/e9/h6enJ1auXGly31mzZlklMMK5yc7ORlRUFG/7mDFjsGXLFqqXsRIN9Yex9vGEFjCLGT1Bc44IghCKIFGzbNkyTJo0CZ6enli2bJnR/RiGIVFD4NVXX8XHH3/M2/7nn3+iR48edojIdREyFBQQXptireMJ6ShyRBNBgiCcG0Gi5vr16wb/nyC0yc/PR8uW/FEG/fv3R0pKCmVnbIC1a1Mas9bFlqMnCIJomoiqqamtrUX79u2xbds2dOjQwVYxEU7Ihx9+iNdff523PSUlBQMGDLBDRE0Di/xhzGRqGqvWheYcEQRhbUT51Li7u6OqqspWsRjlxo0bePbZZ9G6dWt4eXmhTZs2eOutt1BTU9PosRC6FBYWgmEYnqDp1KkT6urqSNDYGLH+MEIyNdY8njn0a3Bmju6MCf1jEeznqfM4QRCEEESb77300kv4+OOPUVdXZ4t4DHLp0iWoVCr897//xYULF7Bs2TJ88cUXeO211xotBoLPp59+iubNm/O279q1C+fPn4dUKrVDVE0L7doUU3C1KeZEgrWPJxR9E0ESMwRBWILo2U+PPPII9u/fDx8fHygUCt5ohE2bNlk1QGN88skn+Pzzz3Ht2jXBz6HZT9ahtLTU4PWLiIjA9evX4e7uboeomi7WHnDpiAMzCYJo2ths9lNAQAAee+yxBgVnDYqLixEUFGRyn+rqalRXPyh6LCkpsXVYLs+aNWswbdo03vZNmzbhkUcesUNEhLVrU6jWhSAIZ0V0psYRyMzMRPfu3bF48WI8//zzRvd7++238c477/C2U6ZGPJWVlfD390dtba3O9mbNmqGgoACenp52iozQxtoTpWlCNUEQjoDQTI3gmhqVSoWPP/4Y/fr1Q8+ePfHqq6+isrKyQUG++uqrYOr/SBr7d+nSJZ3n5ObmYuTIkXjiiSdMChoAWLhwIYqLizX/srOzGxRvU+Xnn3+Gt7c3T9CsXbsWZWVlJGgcCGvXplCtC0EQzoTgTM17772Ht99+G8OGDYOXlxd2796NCRMmYPXq1Raf/O7du7h3757JfWJiYuDh4QEAyMvLw8MPP4w+ffpgzZo1kEjE1TlTTY04ampqIJfLcffuXd5jpaWl8PHxsUNUBEEQRFND6P1bsKiJi4vDggUL8MILLwAA9u3bh6SkJFRWVooWF5aQm5uLwYMHo3v37li3bp1FnTUkaoSzY8cOJCUl8bZ/9tln+Oc//2mHiAiCIIimitVFjUwmQ2ZmJiIjIzXbPD09kZmZCbncdPtnQ8nNzcXDDz+M6OhofPvttzqCxpCDrTFI1JhHqVSiY8eOuHLlCu+x+/fvIyAgoPGDIgiCIJo0Vq+pqaur49VOuLu78+osbMHevXuRmZmJ/fv3Qy6XIywsTPOPsB6HDh2Cm5sbT9B89NFHYFmWBA1BEATh0AjO1EgkEowaNQoy2QML9a1bt2LIkCE6XjWN5VNjCZSpMQzLsujbty9OnDjBeyw/Px8hISF2iIogCIIg1Fjdp2bKlCm8bU8//bRl0REOw59//olevXrxtr/22mv44IMP7BARQRAEQViGYFHzzTff2DIOopFhWRajRo3C7t27eY9lZ2fbvE6KIAiCIKyN7duWCIcjPT0dEomEJ2hmzJgBlmVJ0BAEQRBOiegxCYRzM2HCBPz444+87ZmZmWjTpo0dIiIIgiAI60CZmiZCRkYGGIbhCZrJkyeDZVkSNARBEITTQ6KmCfCPf/wDbdu25W2/cOEC1q5da4eICIIgCML60PKTC5OVlYXo6Gje9uTkZGzevJnm+BAEQRAuBWVqXJRXXnnFoKA5deoUtmzZQoKGIAiCcDkoU+Ni5OfnGxwdMWDAABw6dIjEDEEQBOGyUKbGhfjggw8MCprDhw8jJSWFBA1BEATh0lCmxgUoLCxE8+bNeds7d+6Mc+fOWTTRnCAIgiCcDcrUODkrV640KGh27dqF9PR0EjQEQRBEk4EyNU5KaWmpwaFeERERuH79Otzd3e0QFUEQBEHYD8rUOCFr1qwxKGg2bdqEnJwcEjQEQRBEk4QyNU5EZWUl/P39UVtbq7O9WbNmKCgogKenp50iIwiCIAj7Q5kaJ+Hnn3+Gt7c3T9CsXbsWZWVlJGgIgiCIJg9lahycmpoayOVy3L17l/dYaWkpfHx87BAVQRAEQTgelKlxYHbs2AGZTMYTNP/5z3/AsiwJGoIgCILQgjI1DohSqUSHDh2QkZHBe+z+/fsICAho/KAIgiAIwsGhTI2DcfDgQbi5ufEEzccffwyWZUnQEARBEIQRKFPjIKhUKvTt2xcnT57kPXbnzh0EBwfbISqCIAiCcB4oU+MAnDx5ElKplCdoXn/9dbAsS4KGIAiCIARAmRo7wrIsRo4ciT179vAey8nJQUREhB2iIgiCIAjnhDI1diItLQ0SiYQnaGbOnAmWZUnQEARBEIRIKFNjB5588kn89NNPvO1Xr15FTEyMHSIiCIIgCOeHMjWNSEZGBhiG4QmayZMng2VZEjQEQRAE0QBI1DQSL7zwAtq2bcvbfuHCBaxdu9YOEREEQRCEa0HLTzYmKysL0dHRvO3JycnYvHkzGIaxQ1QEQRAE4XpQpsaGvPLKKwYFzalTp7BlyxYSNARBEARhRShTYwPy8/PRsmVL3vYBAwbg0KFDJGYIgiAIwgZQpsbKfPDBBwYFzeHDh5GSkkKChiAIgiBsBGVqrERhYSGaN2/O265QKHDu3DlIJKQfCYIgCMKW0J3WCnz99dcGBc2ePXs0JnsEQRAEQdgWytQ0EKVSieeee05nm1wux7Vr1+Du7m6nqAiCIAii6UEphAYilUp1fv7111+RnZ1NgoYgCIIgGhnK1FiBW7duYfv27Zg8eTI8PDzsHQ5BEARBNEkYlmVZewfRWJSUlMDf3x/FxcXw8/OzdzgEQRAEQQhA6P2blp8IgiAIgnAJSNQQBEEQBOESkKghCIIgCMIlIFFDEARBEIRLQKKGIAiCIAiXgEQNQRAEQRAuAYkagiAIgiBcAhI1BEEQBEG4BCRqCIIgCIJwCUjUEARBEAThEpCoIQiCIAjCJSBRQxAEQRCES0CihiAIgiAIl8DN3gE0JtxA8pKSEjtHQhAEQRCEULj7NncfN0aTEjWlpaUAgMjISDtHQhAEQRCEWEpLS+Hv72/0cYY1J3tcCJVKhby8PPj6+oJhGFHPLSkpQWRkJLKzs+Hn52ejCB2Lpvaam9rrBeg1N4XX3NReL0Cv2RVfM8uyKC0tRXh4OCQS45UzTSpTI5FIIJfLG3QMPz8/l/zAmKKpveam9noBes1Ngab2egF6za6GqQwNBxUKEwRBEAThEpCoIQiCIAjCJSBRIxCZTIa33noLMpnM3qE0Gk3tNTe11wvQa24KNLXXC9Brbso0qUJhgiAIgiBcF8rUEARBEAThEpCoIQiCIAjCJSBRQxAEQRCES0CihiAIgiAIl4BETQOorq5Gly5dwDAMzp07Z+9wbMrYsWMRFRUFT09PhIWFYfLkycjLy7N3WDbjxo0bePbZZ9G6dWt4eXmhTZs2eOutt1BTU2Pv0GzGBx98gIceegje3t4ICAiwdzg24bPPPkOrVq3g6emJ3r174+TJk/YOyWakpKQgOTkZ4eHhYBgGv/32m71DsjmLFi1Cz5494evri5CQEIwfPx6XL1+2d1g24/PPP0d8fLzGcK9v377YuXOnvcOyKyRqGsD//d//ITw83N5hNAqDBw/GTz/9hMuXL2Pjxo24evUqHn/8cXuHZTMuXboElUqF//73v7hw4QKWLVuGL774Aq+99pq9Q7MZNTU1eOKJJ/Diiy/aOxSbsGHDBsybNw9vvfUWzpw5g4SEBIwYMQJ37tyxd2g2oby8HAkJCfjss8/sHUqjcejQIbz00ks4fvw49u7di9raWiQmJqK8vNzeodkEuVyOj/6/vXuPqynd/wD+2d12u/Yuqj270lVRIbk0KExiUw4NjsHIGTuSQZhcMq6vkBkxLh2dDDM6hYOcYzRhch9xVJKUottph1zqIDHl1u37+8OvNZZCpdpH87xfr/16tZ717Of5PmvvtdZ3r0srJASpqam4dOkSBg8ejFGjRuHatWuqDk11iGmSuLg4sre3p2vXrhEASktLU3VIrSo2NpYEAgFVVFSoOpRWs379erK2tlZ1GC0uMjKS9PX1VR1Gs+vTpw/5+/tz09XV1WRqakpr165VYVStAwDFxMSoOoxWd+/ePQJAZ8+eVXUoraZ9+/a0Y8cOVYehMuxITRP897//hZ+fH3bv3g0dHR1Vh9PqHj58iD179sDV1RWampqqDqfVPH78GAYGBqoOg2mCiooKpKamQi6Xc2VqamqQy+VISkpSYWRMS3r8+DEA/CHW2+rqakRHR+PJkydwcXFRdTgqw5KaRiIi+Pj4YMaMGXB2dlZ1OK3q66+/hq6uLgwNDVFYWIjY2FhVh9Rq8vPzERYWhi+//FLVoTBN8ODBA1RXV0Mmk/HKZTIZiouLVRQV05JqamoQEBCA/v37o1u3bqoOp8VkZmZCLBZDKBRixowZiImJQZcuXVQdlsqwpOb/LV68GAKB4K2vnJwchIWFoaysDEuWLFF1yO+toWOuFRgYiLS0NJw4cQLq6uqYPHky6AP7h9SNHTMA3LlzB56enhg3bhz8/PxUFHnTNGW8DNMW+Pv74+rVq4iOjlZ1KC3Kzs4O6enpSE5OxsyZM6FQKJCVlaXqsFSGPSbh/92/fx8lJSVvrdOxY0eMHz8ehw8fhkAg4Mqrq6uhrq6OSZMmYefOnS0darNp6Ji1tLTqlN++fRvm5uZITEz8oA51NnbMd+/exaBBg9CvXz9ERUVBTe3D+h3QlM84KioKAQEBePToUQtH13oqKiqgo6ODAwcOYPTo0Vy5QqHAo0eP2vxRR4FAgJiYGN7Y27LZs2cjNjYW586dg7W1tarDaVVyuRw2NjbYvn27qkNRCQ1VB/C/QiqVQiqVvrPeli1bsGbNGm767t278PDwwP79+9G3b9+WDLHZNXTM9ampqQHw8rb2D0ljxnznzh24u7ujd+/eiIyM/OASGuD9PuO2REtLC71798bp06e5HXtNTQ1Onz6N2bNnqzY4ptkQEebMmYOYmBjEx8f/4RIa4OX3+kPbLjcnltQ0koWFBW9aLBYDAGxsbGBmZqaKkFpccnIyUlJSMGDAALRv3x5KpRIrVqyAjY3NB3WUpjHu3LmDQYMGwdLSEhs2bMD9+/e5ecbGxiqMrOUUFhbi4cOHKCwsRHV1Nfe/l2xtbbnv+Yds/vz5UCgUcHZ2Rp8+fRAaGoonT55gypQpqg6tRZSXlyM/P5+bvn79OtLT02FgYFBnO9ZW+Pv7Y+/evYiNjYVEIuGul9LX14dIJFJxdM1vyZIlGD58OCwsLFBWVoa9e/ciPj4ex48fV3VoqqPSe6/agOvXr7f5W7ozMjLI3d2dDAwMSCgUkpWVFc2YMYNu376t6tBaTGRkJAGo99VWKRSKesd75swZVYfWbMLCwsjCwoK0tLSoT58+dOHCBVWH1GLOnDlT7+epUChUHVqLedM6GxkZqerQWsTUqVPJ0tKStLS0SCqV0pAhQ+jEiROqDkul2DU1DMMwDMO0CR/eRQIMwzAMwzD1YEkNwzAMwzBtAktqGIZhGIZpE1hSwzAMwzBMm8CSGoZhGIZh2gSW1DAMwzAM0yawpIZhGIZhmDaBJTUMwzAMw7QJLKlhmA/UjRs3IBAIuMcZ/C/IyclBv379oK2tjR49eqg6nGYXHx/PPd28NR4OWdtXu3bt3ll3xYoVmD59eovH1BSDBg1CQEBAq7RtZWWF0NDQFukLqLveZWVlwczMDE+ePGmxPpmGY0kN0+ySkpKgrq6OESNGqDoUppUFBQVBV1cXubm5OH36tKrDaTG5ubmIioripn18fLgERFNTE9bW1li0aBGeP3/Oe19tnQsXLvDKX7x4AUNDQwgEAsTHx3PlRUVFDdpBFxcX469//SuWLVvWoPh9fHza7BO7U1JSWjW569KlC/r164dNmza1Wp/Mm7Gkhml2ERERmDNnDs6dO4e7d++2aF9EhKqqqhbt44+moqKiye9VKpUYMGAALC0tYWho2OL9qcpHH31U5+iJp6cnioqKUFBQgM2bN2P79u0ICgqq815zc3NERkbyymJiYup9aKixsTH09fXfGc+OHTvg6uoKS0vLxg3kA9GY9VwqlUJHR6eFI+KbMmUKvv/+e7Yt+h/AkhqmWZWXl2P//v2YOXMmRowYwfs16+3tjQkTJvDqV1ZWwsjICLt27QIA1NTUYO3atbC2toZIJIKTkxMOHDjA1a89/H/06FH07t0bQqEQ58+fh1KpxKhRoyCTySAWi/Hxxx/j1KlTvL6KioowYsQIiEQiWFtbY+/evXUOVT969AjTpk2DVCqFnp4eBg8ejCtXrrxxvLWHog8ePAh3d3fo6OjAyckJSUlJXJ2VK1fWORUTGhoKKysrbrr2l/O3334LmUyGdu3aYfXq1aiqqkJgYCAMDAxgZmZWZ2cIvDzl4+rqCm1tbXTr1g1nz57lzb969SqGDx8OsVgMmUyGL774Ag8ePODmDxo0CLNnz0ZAQACMjIzg4eFR71hramqwevVqmJmZQSgUokePHjh27Bg3XyAQIDU1FatXr4ZAIMDKlSvrbedN/Z09exZ9+vSBUCiEiYkJFi9ezNtJvHjxAnPnzsVHH30EbW1tDBgwACkpKdz82u/G8ePH0bNnT4hEIgwePBj37t3D0aNH4eDgAD09PXh7e+Pp06fc+w4cOABHR0eIRCIYGhpCLpc36VSCUCiEsbExzM3NMXr0aMjlcpw8ebJOPYVCgejoaDx79owr+/vf/w6FQtHoPmtFR0fDy8uLV/amca1cuRI7d+5EbGwsd+So9ujQ119/jc6dO0NHRwcdO3bEihUrUFlZybVZ+13evXs3rKysoK+vj88//xxlZWVcnSdPnmDy5MkQi8UwMTHBxo0b68S7e/duODs7QyKRwNjYGN7e3rh37x43/03reUPafnWdjoqK4sb46uvV7+aOHTvg4OAAbW1t2NvbY+vWrbz2Ll68iJ49e0JbWxvOzs5IS0ur0+fQoUPx8OHDOuseowKqfZ4m09ZERESQs7MzEREdPnyYbGxsqKamhoiIjhw5QiKRiMrKyrj6hw8fJpFIRL/99hsREa1Zs4bs7e3p2LFjpFQqKTIykoRCIcXHxxPR708e7t69O504cYLy8/OppKSE0tPTadu2bZSZmUl5eXm0fPly0tbWpps3b3J9yeVy6tGjB124cIFSU1PJzc2NRCIRbd68mVfHy8uLUlJSKC8vjxYsWECGhoZUUlJS73hrn9Jub29PR44codzcXPrss8/I0tKSKisriYgoKCiInJyceO/bvHkzWVpactMKhYIkEgn5+/tTTk4ORUREEADy8PCgb775hvLy8ig4OJg0NTXp1q1bvL7NzMzowIEDlJWVRdOmTSOJREIPHjwgIqLS0lKSSqW0ZMkSys7OpsuXL9PQoUPJ3d2d69vNzY3EYjEFBgZSTk4O5eTk1DvWTZs2kZ6eHu3bt49ycnJo0aJFpKmpSXl5eUREVFRURF27dqUFCxZQUVER73N+VX393b59m3R0dGjWrFmUnZ1NMTExZGRkREFBQdz75s6dS6amphQXF0fXrl0jhUJB7du35z6b2u9Gv3796Pz583T58mWytbUlNzc3GjZsGF2+fJnOnTtHhoaGFBISQkREd+/eJQ0NDdq0aRNdv36dMjIyKDw8/I2x1/ZRWlrKK1coFDRq1ChuOjMzk4yNjalv3768egAoJiaGunfvTrt37yYiops3b5JQKKS8vLx6n4oeGRlJ+vr69cZDRFRSUkICgYD3xPG3jausrIzGjx9Pnp6eVFRUREVFRfTixQsiIgoODqaEhAS6fv06HTp0iGQyGa1bt45rNygoiMRiMf35z3+mzMxMOnfuHBkbG9PSpUu5OjNnziQLCws6deoUZWRk0MiRI0kikdBXX33F1YmIiKC4uDhSKpWUlJRELi4uNHz48DrL+fX1vCFtW1pacuv006dPuTEWFRXRvn37SENDg3uS9T/+8Q8yMTGhn376iQoKCuinn34iAwMDioqKIiKisrIykkql5O3tTVevXqXDhw9Tx44dCQClpaXxPoe+ffvyvq+MarCkhmlWrq6uFBoaSkRElZWVZGRkxG2ka6d37drF1Z84cSJNmDCBiIieP39OOjo6lJiYyGvT19eXJk6cSES/b+x+/vnnd8bStWtXCgsLIyKi7OxsAkApKSnc/P/85z8EgNsA/vvf/yY9PT16/vw5rx0bGxvavn17vX3UJhY7duzgyq5du0YAKDs7m4gantRYWlpSdXU1V2ZnZ0cDBw7kpquqqkhXV5f27dvH67t2B030chmbmZlxO6Lg4GAaNmwYr+9bt24RAMrNzSWil0lGz5496x3fq0xNTembb77hlX388cc0a9YsbtrJyemdG/b6+lu6dCnZ2dlxCTARUXh4OInFYqqurqby8nLS1NSkPXv2cPMrKirI1NSU1q9fT0S/fzdOnTrF1Vm7di0BIKVSyZV9+eWX5OHhQUREqampBIBu3LjxzvG/2kd9SY26ujrp6uqSUCgkAKSmpkYHDhzg1atNakJDQ7nEctWqVTRmzBgqLS1tUlKTlpZGAKiwsJAre9e4Xk/C3uS7776j3r17c9NBQUGko6PD/QghIgoMDOSSt7KyMtLS0qJ//vOf3PySkhISiUS8xON1KSkpBIBLJutbzxva9qtJzavy8/PJwMCA+74QvVy39+7dy6sXHBxMLi4uRES0fft2MjQ0pGfPnnHzv//++3qTmjFjxpCPj88bx8i0Dnb6iWk2ubm5uHjxIiZOnAgA0NDQwIQJExAREcFNjx8/Hnv27AHw8jB1bGwsJk2aBADIz8/H06dPMXToUIjFYu61a9cuKJVKXl/Ozs686fLycixcuBAODg5o164dxGIxsrOzUVhYyMWmoaGBXr16ce+xtbVF+/btuekrV66gvLwchoaGvP6vX79ep//Xde/enfvbxMQEAHiH0xuia9euUFP7fZWUyWRwdHTkptXV1WFoaFinXRcXF+5vDQ0NODs7Izs7mxvTmTNneOOxt7cHAN6Yevfu/dbYfvvtN9y9exf9+/fnlffv35/rqzFe7y87OxsuLi4QCAS8tsvLy3H79m0olUpUVlby+tfU1ESfPn3q9P/qZyGTybhTKa+W1S5DJycnDBkyBI6Ojhg3bhx+/PFHlJaWNno8AODu7o709HQkJydDoVBgypQpGDt2bL11//KXvyApKQkFBQWIiorC1KlTm9QnAO40lra2NlfW1HHt378f/fv3h7GxMcRiMZYvX86tQ7WsrKwgkUi4aRMTE255KpVKVFRUoG/fvtx8AwMD2NnZ8dpITU2Fl5cXLCwsIJFI4ObmBgB1+np1PW9o2/V5/PgxRo4ciREjRiAwMBDAy+2PUqmEr68vb/1Ys2YNt25kZ2eje/fuvGX76vr2KpFIxDutyaiGhqoDYNqOiIgIVFVVwdTUlCsjIgiFQvztb3+Dvr4+Jk2aBDc3N9y7dw8nT56ESCSCp6cngJeJCQD88ssv6NChA69toVDIm9bV1eVNL1y4ECdPnsSGDRtga2sLkUiEzz77rFEXoZaXl8PExIR390mtd91Sq6mpyf1du2OuqakBAKipqYGIePVfvU6hvjZq26mvrLbdhigvL4eXlxfWrVtXZ15t8gXUXZ4trSX7e/2zeNsyVFdXx8mTJ5GYmIgTJ04gLCwMy5YtQ3JyMqytrRvVr66uLmxtbQG8vEbGyckJERER8PX1rVPX0NAQI0eOhK+vL54/f47hw4fzrktpDCMjIwBAaWkppFJpk8eVlJSESZMmYdWqVfDw8IC+vj6io6PrXLfyvt/JJ0+ewMPDAx4eHtizZw+kUikKCwvh4eFRZ31tju9JdXU1JkyYAD09Pfzwww9cee325scff+QlSsDL5ddYDx8+hI2NzfsFy7w3dqSGaRZVVVXYtWsXNm7ciPT0dO515coVmJqaYt++fQAAV1dXmJubY//+/dizZw/GjRvHbSS7dOkCoVCIwsJC2Nra8l7m5uZv7T8hIQE+Pj4YM2YMHB0dYWxsjBs3bnDz7ezsUFVVxbvILz8/n/frtVevXiguLoaGhkad/mt3HE0hlUpRXFzMS2ya83/LvHp7cFVVFVJTU+Hg4ADg5ZiuXbsGKyurOmNqzA5DT08PpqamSEhI4JUnJCSgS5cu7z0GBwcHJCUl8ZZRQkICJBIJzMzMYGNjAy0tLV7/lZWVSElJee/+BQIB+vfvj1WrViEtLQ1aWlqIiYl5rzbV1NSwdOlSLF++nHdB8KumTp2K+Ph4TJ48uUk70Vo2NjbQ09NDVlYWr/xt49LS0kJ1dTWvfmJiIiwtLbFs2TI4OzujU6dOuHnzZqNj0dTURHJyMldWWlqKvLw8bjonJwclJSUICQnBwIEDYW9v36Cjmg1puz7z5s1DZmYmfv75Z94RF5lMBlNTUxQUFNRZN2oTPwcHB2RkZPBuzX/9dvxaV69eRc+ePd85DqZlsaSGaRZHjhxBaWkpfH190a1bN95r7Nix3Cko4OVdUNu2bcPJkye5U08AIJFIsHDhQsybNw87d+6EUqnE5cuXERYWhp07d761/06dOuHgwYNcIuXt7c379Whvbw+5XI7p06fj4sWLSEtLw/Tp0yESibgjK3K5HC4uLhg9ejROnDiBGzduIDExEcuWLcOlS5eavGwGDRqE+/fvY/369VAqlQgPD8fRo0eb3N7rwsPDERMTg5ycHPj7+6O0tJQ7neHv74+HDx9i4sSJSElJgVKpxPHjxzFlypQ6O7V3CQwMxLp167B//37k5uZi8eLFSE9Px1dfffXeY5g1axZu3bqFOXPmICcnB7GxsQgKCsL8+fOhpqYGXV1dzJw5E4GBgTh27BiysrLg5+eHp0+f1nskpKGSk5Px7bff4tKlSygsLMTBgwdx//59Lil8H+PGjYO6ujrCw8Prne/p6Yn79+9j9erV79WPmpoa5HI5zp8/z5W9a1xWVlbIyMhAbm4uHjx4gMrKSnTq1AmFhYWIjo6GUqnEli1bGp3cicVi+Pr6IjAwEL/++iuuXr0KHx8f3mlVCwsLaGlpISwsDAUFBTh06BCCg4Obpe3XRUZGYuvWrdi2bRsEAgGKi4tRXFzMHaVZtWoV1q5diy1btiAvLw+ZmZmIjIzk/ueMt7c3BAIB/Pz8kJWVhbi4OGzYsKFOPzdu3MCdO3cgl8sbtbyY5seSGqZZREREQC6X1/s/NcaOHYtLly4hIyMDADBp0iRkZWWhQ4cOda7RCA4OxooVK7B27Vo4ODjA09MTv/zyyztPBWzatAnt27eHq6srvLy84OHhwbt+BgB27doFmUyGTz75BGPGjIGfnx8kEgn3600gECAuLg6ffPIJpkyZgs6dO+Pzzz/HzZs3IZPJmrxsHBwcsHXrVoSHh8PJyQkXL17EwoULm9ze60JCQhASEgInJyecP38ehw4d4o4s1R5dqa6uxrBhw+Do6IiAgAC0a9furTuD+sydOxfz58/HggUL4OjoiGPHjuHQoUPo1KnTe4+hQ4cOiIuLw8WLF+Hk5IQZM2bA19cXy5cv541z7Nix+OKLL9CrVy/k5+fj+PHjvOuiGktPTw/nzp3Dn/70J3Tu3BnLly/Hxo0bMXz48Pcek4aGBmbPno3169fXe4u4QCCAkZERtLS03ruvadOmITo6mkvk3zUuPz8/2NnZwdnZGVKpFAkJCfj0008xb948zJ49Gz169EBiYiJWrFjR6Fi+++47DBw4EF5eXpDL5RgwYADvGiqpVIqoqCj861//QpcuXRASElJvotCUtl939uxZVFdX49NPP4WJiQn3qu1v2rRp2LFjByIjI+Ho6Ag3NzdERUVx2xuxWIzDhw8jMzMTPXv2xLJly+o9lbtv3z4MGzaszf6foA+JgF4/2c8wfxC3b9+Gubk5Tp06hSFDhqg6HOYDEB8fD3d3d5SWljbo0QXNISoqCgEBAXj06NEb6xAR+vbti3nz5nEX6jOto6KiAp06dcLevXvr/EhjWh+7UJj5w/j1119RXl4OR0dHFBUVYdGiRbCyssInn3yi6tCYD4yZmRm8vLy4a8VailgsRlVVFe9akPoIBAL88MMPyMzMbNF4mLoKCwuxdOlSltD8j2BHapg/jOPHj2PBggUoKCiARCKBq6srQkND2SFjpsGePXuGO3fuAHiZcBgbG7dof/n5+QBe3o3T2LuxGOaPiCU1DMMwDMO0CexCYYZhGIZh2gSW1DAMwzAM0yawpIZhGIZhmDaBJTUMwzAMw7QJLKlhGIZhGKZNYEkNwzAMwzBtAktqGIZhGIZpE1hSwzAMwzBMm/B//+ve8h2L4qUAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
],
"source": [
"lin_regplot(X_std, y_std, lr)\n",
"plt.xlabel('Average number of rooms [RM] (standardized)')\n",
"plt.ylabel('Price in $1000s [MEDV] (standardized)')\n",
"\n",
"# plt.savefig('images/10_06.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "fMPtGMCN1tKY",
"outputId": "dd3f9988-dedc-439c-8d60-0cd0d790f93f"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"기울기: 0.695\n",
"절편: -0.000\n"
]
}
],
"source": [
"print('기울기: %.3f' % lr.w_[1])\n",
"print('절편: %.3f' % lr.w_[0])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "fkPkNJ1h1tKZ",
"outputId": "163042b0-5886-4e54-a189-da676b7124f3"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"$1,000 단위 가격: 10.840\n"
]
},
{
"output_type": "stream",
"name": "stderr",
"text": [
"/tmp/ipython-input-3653088201.py:3: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
" print(\"$1,000 단위 가격: %.3f\" % sc_y.inverse_transform(price_std.reshape(-1,1)))\n"
]
}
],
"source": [
"num_rooms_std = sc_x.transform(np.array([[5.0]]))\n",
"price_std = lr.predict(num_rooms_std)\n",
"print(\"$1,000 단위 가격: %.3f\" % sc_y.inverse_transform(price_std.reshape(-1,1)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "iptdGT2I1tKZ"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7YtZpyim1tKZ"
},
"source": [
"## 사이킷런으로 회귀 모델의 가중치 추정"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"id": "r6MV5DrE1tKZ"
},
"outputs": [],
"source": [
"from sklearn.linear_model import LinearRegression"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "d0DX-mrw1tKZ",
"outputId": "631979f7-2b9f-4776-90bf-34d7f87f24ec"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"기울기: 9.102\n",
"절편: -34.671\n"
]
}
],
"source": [
"slr = LinearRegression()\n",
"slr.fit(X, y)\n",
"y_pred = slr.predict(X)\n",
"print('기울기: %.3f' % slr.coef_[0])\n",
"print('절편: %.3f' % slr.intercept_)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"id": "qZU7nLfj1tKZ",
"outputId": "8239587b-6546-47c9-e2ca-863bcd8306a4"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"lin_regplot(X, y, slr)\n",
"plt.xlabel('Average number of rooms [RM]')\n",
"plt.ylabel('Price in $1000s [MEDV]')\n",
"\n",
"# plt.savefig('images/10_07.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "L1Hz3G3J1tKa"
},
"source": [
"**정규 방정식**을 사용한 방법:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "4M7h7h6-1tKa",
"outputId": "9e5c4cd2-fa60-4bef-ddc6-32587b4ecabc"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"기울기: 9.102\n",
"절편: -34.671\n"
]
}
],
"source": [
"# 1로 채워진 열 벡터 추가\n",
"Xb = np.hstack((np.ones((X.shape[0], 1)), X))\n",
"w = np.zeros(X.shape[1])\n",
"z = np.linalg.inv(np.dot(Xb.T, Xb))\n",
"w = np.dot(z, np.dot(Xb.T, y))\n",
"\n",
"print('기울기: %.3f' % w[1])\n",
"print('절편: %.3f' % w[0])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dWrjqqax1tKa"
},
"source": [
"QR 분해는 실수 행렬을 직교 행렬(orthogonal matrix) $\\boldsymbol{Q}$와 상삼각 행렬(upper triangular matrix) $\\boldsymbol{R}$의 곱으로 표현하는 행렬 분해 방법입니다. 직교 행렬은 전치 행렬과 역행렬이 같습니다. 따라서 선형 회귀 공식을 $\\boldsymbol{w}$에 정리하면 다음과 같이 쓸 수 있습니다.\n",
"\n",
"$\\boldsymbol{w} = \\boldsymbol{X}^{-1}\\boldsymbol{y}\n",
"= (\\boldsymbol{Q}\\boldsymbol{R})^{-1}\\boldsymbol{y}\n",
"= \\boldsymbol{R}^{-1}\\boldsymbol{Q}^{-1}\\boldsymbol{y}\n",
"= \\boldsymbol{R}^{-1}\\boldsymbol{Q}^T\\boldsymbol{y}\n",
"$\n",
"\n",
"`np.linalg.qr()` 함수를 사용하여 QR 분해를 수행한 다음 `np.linalg.inv()` 함수를 사용해 상삼각 행렬의 역행렬을 구하여 계산할 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "I0_e8LoQ1tKa",
"outputId": "e8ea9b12-6ed6-4ccd-f656-cf1b7d547929",
"scrolled": true
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"기울기: 9.102\n",
"절편: -34.671\n"
]
}
],
"source": [
"Q, R = np.linalg.qr(Xb)\n",
"w = np.dot(np.linalg.inv(R), np.dot(Q.T, y))\n",
"\n",
"print('기울기: %.3f' % w[1])\n",
"print('절편: %.3f' % w[0])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "F7xzuRU_1tKb"
},
"source": [
"`LinearRegression` 클래스가 사용하는 `scipy.linalg.lstsq` 함수는 $\\boldsymbol{X}$의 유사역행렬(pseudo-inverse matrix) $\\boldsymbol{X}^+$을 구하여 다음처럼 바로 해를 구합니다.\n",
"\n",
"$\\boldsymbol{w} = \\boldsymbol{X}^+\\boldsymbol{y}$\n",
"\n",
"유사역행렬은 특잇값 분해(SVD)로 얻은 $\\boldsymbol{U}$, $\\boldsymbol{\\Sigma}$, $\\boldsymbol{U}$로 계산합니다.\n",
"\n",
"$\\boldsymbol{X}^+ = \\boldsymbol{V}\\boldsymbol{\\Sigma}^+\\boldsymbol{U}^T$\n",
"\n",
"여기에서 $\\boldsymbol{\\Sigma}^+$는 $\\boldsymbol{\\Sigma}$ 원소의 역수를 취하고 어떤 임곗값보다 작은 값은 0으로 만들어 얻을 수 있습니다. 예를 들어 $\\boldsymbol{\\Sigma}$의 행마다 가장 큰 값을 골라 $1 \\times 10^{-15}$를 곱한 다음 이보다 작은 원소를 0으로 만듭니다. 넘파이 `np.linalg.pinv()` 함수를 사용하면 이런 작업을 모두 알아서 처리해 주므로 $\\boldsymbol{X}^+$를 손쉽게 얻을 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "vMaWUwwz1tKb",
"outputId": "2845ebb1-4435-4589-ea53-a36b76334dcc"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"기울기: 9.102\n",
"절편: -34.671\n"
]
}
],
"source": [
"w = np.dot(np.linalg.pinv(Xb), y)\n",
"\n",
"print('기울기: %.3f' % w[1])\n",
"print('절편: %.3f' % w[0])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "EQRdETsE1tKb"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Pkt5L9zE1tKb"
},
"source": [
"# RANSAC을 사용하여 안정된 회귀 모델 훈련"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"id": "2940HFsD1tKb",
"outputId": "7c4f81a1-4aa8-46a9-b964-1b92aa466aaf"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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8eXM2VkIIaUiqs3Ql79RXVYlLYWEhZsyYgQMHDrBjnp6eCAsLQ5s2bWr/jdQTlPg0Iuo6wPfgwQMIBAK0aNFCYrykpERiU7WOjg7atWvH3rawsMD48ePRv39/fPjhh/Dz88OIESNgZ2dXZ7ETQoiqyStYWBGHw4FPcyuJ2SC+QFhl0vP48WOMGDECjx49YsfGjx+PnTt3wtDQsObB10OU+DQCbm5u4HA4iImJwZAhQyrdHxMTA3Nzc1hZWYHD4VRKkMrKymr1+vn5+eDxeIiKigKPJ1n8ysjIiP3/+vr6lf7hBgUFYcaMGTh//jxCQ0OxdOlS/P3339R4lhCiEnVdw6imS1cVx6pa3goODkZgYCAKCwsBAAYGBtizZw/Gjh2rjG+h3qHEpxGwtLTEhx9+iN27d2P27NkS+3zS0tJw9OhRjB07FhwOB1ZWVkhNTWXvj4uLY/+xAGD39AgEAoVfv0OHDhAIBMjIyEDPnj2rHX+HDh3QoUMHLFq0CL6+vjh27BglPoQQlVDVXktZarN0JU9+fj4CAwNx+PBhdqxNmzYICwtr1NsGKPFpJHbu3Ilu3bqhf//+WLNmjcRxdgcHB6xduxYA0LdvX+zcuRO+vr4QCARYsGCBRD0ea2tr6Ovr4/z582jatCn09PRgampa5Wu3aNECo0ePxtixY7F582Z06NABr1+/xqVLl9CuXTsMGjRI6vMSEhKwd+9efPbZZ7C3t8eTJ08QFxfXaP9KIYQ0TDVZupLnwYMHGDFiBGJj3+8pnTJlCrZv316r/pYNASU+dUxdpeDd3d0RGRmJ5cuXY8SIEcjMzIStrS0GDx6M5cuXs3V3Nm/ejAkTJqBnz56wt7fH9u3bJSp5amlpYceOHVi1ahWWLVuGnj17ShxLlyUoKAhr1qzB3LlzkZycjCZNmqBr16745JNPZD7HwMAAsbGxOHToEN6+fQs7OzsEBgZi6tSptX4/CCENnzpO0dZUdZauqsIwDPbv348ZM2aguLgYQPmWgr1792LkyJG1jrMhqDctK+oKtayov+i/ESFE3OiY0VJP0Xroe+Co51E1RKRaeXl5mDp1Ko4fP86OeXl5ITQ0tNLhkoaowbWsIIQQQqrDRc9F4naBsABJJUnqCUbF7t69ixEjRiA+Pp4dmzZtGjZv3kx/CFZAiQ8hhJAGaa3r2kpjgx8NrvtAVIhhGOzZswdz5sxBSUkJAMDExAT79+/H8OHD1RydZqLEhxBCSIMhb1+PIbfh1KzJycnB5MmTcfLkSXasY8eOCA0NZYu+ksoo8SGEENJgqKM6vjpERkbC398fz58/Z8dmzpyJjRs3QldXV42RaT5KfKqJ9oJrLvpvQwiRx0XPBRxUPiZesVCgIj2v1IFhGOzYsQPz589ni8uamZkhKCgIgwcPVm9w9QQlPgoS1bIpLCxs9DUQNJWo0KJ43SFCCBEnbd8PwzCIfPYax6/F40VGHlysjTFSCQUElS0rKwsTJ07EmTNn2LEuXbogJCQELi4uaourvqHER0E8Hg9mZmbIyMgAUF5jRpP+QTRmDMOgsLAQGRkZMDMzq9QWgxBCZOELhIh89lqiZURscjZWhEZihb8PfJpbacTMz82bNxEQEICXL1+yY/PmzcO6devoj71qosSnGkTdyEXJD9EsZmZmCneMJ4QQoLxQ4PFr8ai4UM4ACLkWL1FNuS5UXGIrLeNjx/ZtWLRoEfh8PoDyBs6HDx+WWfWeVI0Sn2rgcDiws7ODtbV1rRt3EuXS1tammR5CSI2q47/IyJM+/lr6uKpUXHKzMRDi0emtuH75IvuY7t274/jx43B0dKzT2BoSSnxqgMfj0YcsIYRooJq0onCxNkZscnblcStjJUSkmIpLblkvH+HCiR9QkvuGfcyiRYuwatUqaGnRR3dtqH/hkhBCCFETvkCIkT3cKp3z4gAI6OEGvkBYJ3GIltyEQiGeXw1DZNAiNunRNzbD+fPnsW7dOkp6lIDeQUIIIY2WFo+LLu7WWOHvg5Br8XjxOg8uVsYIUMOprifPk3An9Ae8jb/Djpm7tEGnUQvRv3//OoujoaPEhxBCiMapy87qHA4HPs2tJDYy8wXCOk16rly5gms7v0VBzltRUGjWOwDNegfA08myzuJoDCjxIYQQonEKBYVSx5lK569qT7Sp+HZ8BkrKhNDV5qKTm3WdzPgIBAKsXbsWK1euhFBYvqymY2SGtkPnwbK5l8SSmyYcq28IOAyVu5WgaFt7Qggh9Z+0Oj5A+R4fVdfxSUtLw+jRo/HPP/+wYz6+PeE1fB5el+qobcmtvlL085tmfAghhGikuljuUlcdn4sXL+LLL79Eeno6AIDL5WLlypWY/90C6Oq8L0hY10tujQElPoQQQjRSXTUcrcs6Pnw+HytXrsTatWvZ/oL29vY4duwYevfuXenxtLylfJT4EEIIqZeWJCzBi+IXtZ4Bqqs6PsnJyRg1ahSuXr3Kjg0YMACHDx+GlZWVUl+LyEapJCGEkHrpRfELxBbFSl0OU1Rd1fE5f/48vLy82KSHx+Nhw4YN+OOPP9ikp+Jr1VUNocaGZnwIIYQ0Wqqu41NWVoZly5Zhw4YN7FjTpk0REhKC7t27s2P1pUN8Q0CJDyGEkAah4pFvRY+Aq6qOT1JSEgICAnD9+nV27JNPPkFwcDAsLd/X5qkvHeIbCkp8CCGEaKTqNhx9/CoLBy7F1mjGpGJiUdtE4+zZsxg3bhwyMzPLr6elhY0bN2L27NmV4tG0DvENHSU+hBBCNJK8DcsFwgKJ23v/eoy4tFwA6psxKS0txaJFi7BlyxZ2zNnZGaGhoejSpYvM52lKh/jGgBIfQggh9cKu5F1IKU0BABQJimDINYSHvgc7A6TuGZMXL17A398ft27dYscGDx6MgwcPwtzcvMrnVudkGVVxrh1KfAghhNQLgQ6BVd5fWMqvNFZXMyanT5/GxIkTkZ2dDQDQ0dHBjz/+iG+//VbuUpvoZJm06tEBPdxQWMLH4mMRSEinTc/KQCkjIYSQem/NySikZFbu76XsWjwVlZSUYObMmfjiiy/YpKdZs2a4fv06pk+frvD+ItHJMk8HM+jr8ODpYIYV/j7o4m6Nzb/fQ8yrbBSXCdglvIi4DDruXkM040MIIY1UXXZAVyW+QAi/dk1xLSZN6oyJqpaGnj17Bn9/f0RFRbFjw4cPx759+2Bqalqta8k6WXbwn1hci02TeCxteq4dSnwIIaSRqquWEKqm6lo80pw4cQKTJ09Gbm75ZmpdXV1s27YNU6dOrfHrSTtZ9vvtl1IfS5uea44SH0IIIfWeqmrxVFRcXIw5c+Zgz5497Ji7uzvCwsLg5eWl1NcC6q6dRmNCe3wIIYQ0CMquxVPR06dP0bVrV4mkZ9SoUYiKilJJ0lNX7TQaG0p8CCGEEDmOHTuGjh074t69ewAAPT097N+/H0eOHIGxsWpmX+RteqYj7TVDS12EEEKIDIWFhZgxYwYOHDjAjnl6eiIsLAxt2rRR+evX1RJeY0KJDyGENFLVbQnR2MTExGDEiBF4+PAhOzZu3Djs2rULhoaGdRaHqpfwGpt6m/hs2LABixYtwsyZM7Ft2zYA5ZvO5s6di5CQEJSUlKB///7YvXs3bGzoyB8hhFRUn46sK5u8hqaHDh3CtGnTUFhYXhvIwMAAu3fvxrhx4+o8VqJc9TLxuX37Nn755Re0a9dOYnz27Nn4448/cOLECZiamuLbb7/FF198gfDwcDVFSgghRNMwDIPIZ69x/Fp8pYamhYWFmDZtGg4fPsw+vk2bNggLC4Onp6caoybKUu/my/Lz8zF69Gjs27dPovdJTk4ODhw4gC1btqBv377o2LEjgoKCcP36ddy8eVPm9UpKSpCbmyvxRQghpGHiC4SIiMvAitBIxCZLVkM+evYKfHx8JJKeyZMnIyIigpKeBqTeJT6BgYEYNGgQ/Pz8JMajoqJQVlYmMe7h4QEnJyfcuHFD5vXWr18PU1NT9svR0VFlsRNCCFEvLR4Xx6/FS1R4ZhgGSVEXMH5of8TGlhd0NDIywtGjR7Fv3z4YGBioJ1iiEvVqqSskJAR37tzB7du3K92XlpYGHR0dmJmZSYzb2NggLS2t0uNFFi1ahDlz5rC3c3NzKfkhhJAG7EXG+6rH/JJCPP6/XUi7f4Uda9++PcLCwtCiRQt1hEdUrN4kPklJSZg5cyb+/vtv6OnpKe26urq60NXVVdr1CCGEaDZRNeTc1Oe4H7YBhW9T2PumTZuGzZs3K/VzhmiWerPUFRUVhYyMDHh7e0NLSwtaWlq4cuUKduzYAS0tLdjY2KC0tJTtjiuSnp4OW1tb9QRNCCFEo/AFQgR0b46kW3/i1r65bNKjpWuANdv2YvuOn2qd9FSsqEwVljVLvZnx6devHx48eCAxNmHCBHh4eGDBggVwdHSEtrY2Ll26hKFDhwIAnjx5gsTERPj6+qojZEIIIRqmID8PW7+fgZizJ9gxa+eW2LX/EIb261zrwoBVnRijooOaod4kPsbGxpWqZBoaGsLS0pIdnzRpEubMmQMLCwuYmJhg+vTp8PX1RdeuXdURMiGEEA0SGRkJf39/PH/+nB2bMWMGNm3aBJ6Wdq0TE75AiMhnr7EiNJLdPC06MbbC3wc+za2o+KAGqDeJjyK2bt0KLpeLoUOHShQwJIQQ0ngxDIOffvoJ8+bNQ1lZGQDAzMwMQUFBGDx4sNJeR9qJMQBgAIRci5doO0HUh8MwTMX/Ro1abm4uTE1NkZOTAxMTE3WHQwghGk1eBWR1y8rKwsSJE3HmzBl2rEuXLggJCYGLi4vSX+/zDedRXCaoNK6vw8OZBQOU/nrkPUU/vxvUjA8hhJC6o+n7WSIiIuDv74+XL1+yY3PnzsW6deugo6Ojktfs4WkrcVweAApL+TDVV83rkeqjGZ8KaMaHEELkE+1nWRUWidZOFrAw0kNmfjEeJWZi2Qj17mdhGAZbtmzBwoULwefzAQAWFhY4dOgQPvnkE7XEFJ3wBm2cLDRqNqyhoRkfQgghKqPF4+JRUiYOBn4AW/P3lY3Tsgrx552XatvP8vbtW4wfPx5nz55lx7p3747jx4+rtDjt0oSlSChOqDTuqueKNa5r0N7FUiNmwQglPoQQQmpoQl8PRMRlYP3pu+xSV0APN4zv66GWeMLDwxEQEIBXr16xYwsXLsSqVaugra2t0tdOKE5AbFGszPsp6dEcNOdGCCFEpq1JW6WOi5p9rqzQ7HNlaCQi4jLqtGifUCjEhg0b0Lt3bzbpadKkCc6dO4f169erPOkh9QvN+BBCSCMmb4nmDf+N1Odp8bgIkXF0O/RaPHzraKkrIyMDY8eOxYULF9ix3r1749ixY7C3t6+TGEj9QokPIYQ0YvKWaKpS8fQSO/5a+riyXblyBSNHjkRqaiqA8uWkpUuXYtmyZdDSoo83Ih0tdRFCCKkRF2tj6eNW78dVseQlEAiwevVq9O3bl016bGxs8Ndff2HVqlWU9JAq0U8HIYSQauMLhBjZw02iPQMAcAD493BDWlYhTt58hv5eTnCzNVHa5t60tDR8+eWXuHTpEjvWr18/HDlyRK0NqV31XKs1TtSHEh9CCHlH3n4X8p4Wj4su7tZY4e+DkGvxePE6Dy5WxvB/V8Awu6AE3w5syz5eXoVnRSo+X7p0CaNHj0Z6ejoAgMvlYsWKFVi8eDF4PJ6Sv8PqoZ+P+oMSH0IIeac2+10aKnsd6RuE+QIhUrMK4NPcSqJmT1Z+CQDgSUoOQq5FSa3oXN2KzwKBACtXrsSaNWsgqrlrZ2eH48ePo3fv3ir4rklDRnt8CCGkEXPVc4WHvkelL9ESTaBDoNTnafG4+OdhCrR4XIReiwcALD1+CyVlAqnH3FeIHXOPiMvAiiruF5eSkoJ+/fph9erVbNLTv39/REdHU9JDaoRmfAghpBGrzRLN05QcAEBGbhEAwMZUH7bmBlh/+m6VHcpvx2co1MH8woUL+PLLL/HmTfmReh6PhzVr1uC7774Dl0t/t5OaocSHEEIaOYZh8CAxExeik5CSWQh7CwP093JEWyeLKjclF5SUIS2rED5u1kjLKkT/Dk4A5B9zLymTftJLdD+fz8f333+PDRs2sPc1bdoUx48fR48ePar9/Wl6B3lStyjxIYSQRkzUbFT8dNbjV1m4dD8ZK/xlNxvlC4QI6O6GfRdjsGSYN+JSc+BuZwqg/Jh7bHJ2peeIjrnraktPOlysjJGUlISRI0ciPDycHf/kk08QHBwMS0vLan9/mt5BntQ9SnwIIeSdhnQkWdETalo8Lo7LqMAsvvRUcZZEdKoLAIL/icWQLs3A5XCqPOYe0MMNpXwBOrlZ44+oxEr3Ny17Di+vz5CZmVn+Glpa2LBhA+bMmVOjJEVaUifaT1RVUkcaNoUSn99//73aF/7www+hr69f7ecRQoi6NKQjydU5oSZvaerfh8nQ19GqNEvC4XDYU10Mw+BxUiYycorQq7V9pWPuAWKzLBWPwTua6+FtRCjmL/uZvbazszNCQkLQtWvXGr8HiiZ1pHFRKPEZPHhwtS7K4XAQFxeHZs2a1SQmQgghdUje0lQ7Z0uM2X4Jy0ZUniXR4nErzaxcjUnDV36e2DaxO/u4N7lF2HA6GmnZhZg2oDWbML148QIBAQGIiIhgHzt48GAcPHgQ5ubmtf7e1N1Wg2gehef40tLSIBQKFfoyMDBQZcyEEEKURLQ0VXEhSVSB+U1uESyN9dDayQIh1+KlLg1VnFkJj03DpN3/IjOvGE9Tc/Dd4RsYs+MfXH6UgtjkbMw8EI7IZ69x6tQpdOjQgU16tLW1sX37dpw6dUopSQ+gWFsN0rgolPiMGzeuWstWX375JUxMTGocFCGEkLoh2quz3N8Hng5m0NfhwdPBDMv9fdDF3Rr7L5Uvl1kY6VU5S1JxZqWVowUsjPWw69xD3HuZCaHYepOAX4Zvpn2LoUOHIjs7GwDQrFkzXL9+HTNmzFDapuOqkrqAHm4q6SNGNJ9CS11BQUHVuuiePXtqFAwhhJC6x+Fw4G5rKrE0lZpViDUn7yAzrxgAkJlfXOUsiWi5jMsB2jhZoIeHHQAgsUKyVJiZivthG5GbEs+ODRs2DPv374epqakyvy2ZbTUC6FRXo6bwqa5hw4Zh8uTJ6N+/P/2wEEKIhqvOCTW+QIj4tBxsOnMX5kZ6yMwvxsPETDAMsNzfB6lZhXiUmIllI3yk1sDhC4QI6OGGi/deYYqfJ2zN32932PdNH+y+8AjhsWlIe3gNj3/bAX5JIQBAV1cXW7duxddff62yzxXxDdji8dLnWOPFYUQ1wOXo168fLl++DHt7e0yYMAHjx49vkJuXc3NzYWpqipycHFquI4Q0GgzDICIuQ2rD0eB/YtHK0aKKXlpCcLnl4zdF1xCrmdPO0QR9Bo/F7b9Oss9xdGmGUydPwKejd519j6RhU/TzW+HEBwBevnyJoKAgHD58GC9fvkTv3r0xefJkDB06FLq6ukoJXN0o8SGENFZVVTiWV+1YWs0cACh8k4z0v3YgLvYRO/bRJ1/gxNEgqb9jqcoyqSlFP7+r9dPk7OyMFStW4Pnz5/j7779hb2+PKVOmwM7ODoGBgYiKiqp14IQQQpSn4gbe6mzozS0sxb8Pk/E4KRM8btVLQ9Jq5qTev4xbe2ezSY+enh727duH30+FIo/PQ8W/u0VVlmceDMfnG85j5sHy01/V+PucELmqNeMjTV5eHo4dO4bFixcjJycHfD5fWbGpBc34EEIaCtHylSLtGqQ9VrQJeO3JO/iwfVN0am4FBpA5C/T5hvMoLhNAUFqM2HN7kRz1F3ufTVNXtBo2H23btmOvG5eag+Y2JlJrAYlwAKqyTBSikhmfihISEvDjjz9i3bp1yMnJgZ+fX20uRwghREn4AiEi4jKwIjQSscnZKC4TsO0aIuIyJGZ+ZD125bvHTvbzRExSJrhcDiKfvcaBSzEQMgxuv5udWXLsFoDyk135r5MQsXeuRNIzbtw4PIt9gGPLxsHSWI+9rqWRLpvMyKuyTEkPUZZq/yQVFxfjyJEj6Nu3L9zd3XH48GFMmjQJCQkJOH/+vCpiJIQQUk3VSSSqemzotXjYmRvg8y6uiIjLwKqwSAzydkZEXAZWvkuU7jx/jbSsQpi8jkLEz7OQn/ESAKCnr48PJy5BlkcAFodGI+F1HpYO80Y3D1uEXotHExPJ+nBUZZnUBYWPs9+6dQsHDx5EaGgoiouLMWTIEJw/fx79+vWjY4GEEKIEijYWlUbaJuDqJBLyHmthpIeQ8Ch82skFtuYGOHHjGTgcgGGA0pJiDBzij+grZ9nnNXNvCbv+M8GxdpKYQVru74Mpfp4I3He10mvJa51BiDIonPh07doV7du3x+rVqzF69GillRMnhBBSrjqNRcWJNgWL9uf4tXPA9I/bViuRUOSxi4Z0gI1ZeY2e6R+3xXDf5lh98P9w6Kf5KHidxD5u8uTJ0PYOwLM3xZJxonwGadvE7ujbxgFA+VF43rs9PgE93LBSyh4f/3dVlmm5iyiDwolPZGQkvL2p3gIhhGgSaZuC/7yTiOG+zTGyh5vUzcIBFRIJUWsHaY/17+GGkjIBdLS4eJ6Rh3Wn7uJFRh6crYxglHYbB9csRnFxeYLD09HHlPmrsGfNPHy+QfrWB9EMUv8OThIxcAB0fdc6I7RCLaGu7tYQCulkF1EOhRMfb29vCIVCBAcH49SpU3jx4gU4HA5cXV0xbNgwjBkzhpa8CCGkjknbnyNkgL0XY7B0mHeldg3+PdzQ+d2JqhZ2puBwOHJbOwiFDLunhwHALynEyeMbkXr/MvuaVk7uGDN/E6aP6AtA/gySm62JxGcGj8cFwzBo72wJX7Eqy4UlfPZ+QpRB4cSHYRh8+umnOHfuHNq3b4+2bduCYRjExMRg/PjxOHXqFM6cOaPCUAkhpGFz0XOROm6jbSN1XETa/pzw2DT8cCYacz9rL9GuQdSD63psmsQx8apaO/B4HDa5ykt7jnuhG1H4Npl93DfffIMtW7ZAT0+PfZ6is03iOBwOdLQkx3W0uPRHNVEqhROf4OBg/Pfff7h06RI++OADifv++ecfDB48GIcPH8bYsWOVHiQhhDQGa13X1uh5smZXDHW1oMXj4qc/HyC/mI+sgvIlKXNDPbR1tkBoeLxEolMxGRG/nZCei6Tbf+LJuX0Q8ssAADxdfXQYOgu7d6/DoctPcOpmAlysjTFtQGuFm4NWTIJK+UIcuvwEv99+WWXdIUJqSuHE5/jx41i8eHGlpAcA+vbti4ULF+Lo0aOU+BBCSA3U9ERXVbMrH3VwAgBcvJ+Mjs2tMOeT9hINRNOzCxWKLScnB7Gnf0Tc7X/YMRN7N7QbsQAd23oCAB4mZrKnt2YeCMf2Sd3lNgdlGAZPU7Kx92IMEtLfF02c0NcDyZmFCI9Nw4rQSCpgSJRK4Z+i+/fvY8CAATLvHzhwIO7du6eUoAghpLERneiq+CUtGRInvj/H08EM+jo8eDqYYYW/D9xty6vXftbJGUuHeSPhdZ5EO4jnGXly20FERUXB29tbIulx6vIpOk/+AYYWdvDv4YbUrEI8TMxk72cA7Dn/SOYMkqh4IofDQStHCywc3AEdm1tJFE2c4ucJLocKGBLlU3jGJzMzEzY2steZbWxskJWVpZSgCCGESKrqOLe0/TmFJXwE/ROLQR2dMbKHu8TmZABskiFrNoVhGOzcuRPz5s1DaWkpAMDYxBS9xnwHLUdvdumqs7s11py8g4qHrmQVHax49F40y7N0mDfWnLyD8Ng09sh7GycL3H+ZSQUMiVIpnPgIBAJoacl+OI/Hq/d9ugghRFM9fpWFtk4WMve6aL07FVUmECIuNQfzD92AgCk/DTWuT0uEVFHFWTxhAoCsrCxMnDhR4sBKp06dcez4cbg1b8aO8QVCBP0Ti/DYtErxSKsVJO3ofcXChjeepEkUTZR1LUJqqlqnusaPHw9dXV2p95eUlCgtKEIIIZL2/vUYX/ZuIXV2RjQbVH4qioe9f8dA8C6zSMks38ejaBXniIgIBAQE4MWLF+xYh48CsHnzJjRv1rTS81s7WoCD5wqd3pLXGkM0y1PGL18Ky8wvlnsSjJDqUjjxGTdunNzH0MZmQghRDe/mVoiMz6g0OyPaIHz72WvoafHg38NNIsnJzC8/ySWvrg7DMNi6dSsWLFjAzt5r6xuj9ZBZsPLogrWn72OFjg58mlsBKE9i5NX/kTY7JS8BszTSQ+829kjLLgRfIMQKfx861UWUSuHEJygoSJVxEEJIo+aq51rl+MS+HgAk9/oIBEKU8IVo5WiBVo4W7P2fdXJG2PXnAAATfR2U8gVV1tVJz3iNyZMm4uzZ97227N3awv3z2dA1tQYguSz2OCkTv/wdgxcZefisU/keoqpOb4mTl4B91skZnk3NweFwsHVC9yqvRUhNKJz4KCIjIwPW1tbKvCRrz5492LNnDzv92rp1ayxbtgwDBw4EUN41fu7cuQgJCUFJSQn69++P3bt3V7khmxBCNIW8JqRf/3IVuto8ibo2XC4H916+LZ9tebdReGQPN0zs64GUzEIwAJYM80Zcag46S2kHEdDDDYLX8ejkNxJJSe97bS1YsACrV6/G2/wy7L0Yw+7hEc3K/H77JZu8hF1/jl9vPMeP43zR0sEMPC5X5pKUIoUNW9ibSSQ6tLxFlI3DyDvL+I6BgQFevnwJK6vyac5BgwZh//79sLOzAwCkp6fD3t4eAoFAJYH+3//9H3g8Htzd3cEwDA4dOoQffvgBd+/eRevWrfHNN9/gjz/+QHBwMExNTfHtt9+Cy+UiPDy8Wq+Tm5sLU1NT5OTkwMTERCXfCyGEVMQwDB4kZuJCdBLSsgqxdFhHJL3Nx96/HqOglM/u1eEA7EmsihuFxe9v52yJwhI+4tJysDI0Et08bPGVnydbx0coFGLjxk34/vul7O9tM3ML9Bq3GLBpzZ626vLu1FZ4bBo8HcywbWJ3zD98A/dfZkrEL7pPke8zIi5D4aUxQhSl6Oe3wjM+xcXFEvUerl69iqKiIonHKJhD1cinn34qcXvt2rXYs2cPbt68iaZNm+LAgQM4duwY+vYt7xMTFBQET09P3Lx5E127dpV53ZKSEomN2bm5uar5Bggh9UJNCwnWRsXTTu2cLWBupIsVYZGIS5P8ncQA7F4fWRuFRUtSBrpaWH0yCgzKW1jceJKGNk4W0BEU4fSuZYiJev+HoVenrjDt/TWKTZoA7woRip+2uvkkDQE93JBWoWaPiKJHzqtqjUFIXVDqUldd/eAKBAKcOHECBQUF8PX1RVRUFMrKyuDn58c+xsPDA05OTrhx40aVic/69euxcuXKugibEFIPiAoJ1iUtHhch4e+TGNExblkbgUvenXpS5KSW+GOEDHD5ylU8OLEJJXnlyQuHw8GSJUuQ7eSHp2n5EtcRP2314zhfeDY1x8F/YivV7AGqd+S8qtYYhKhavfppe/DgAYyMjKCrq4uvv/4ap0+fRqtWrZCWlgYdHR2YmZlJPN7GxgZpaZXrS4hbtGgRcnJy2C/xdW5CCFEVUfVikUVDOqC7hy0AyZNY0ui+a+Qp637xJET0GEYowPPLIYgMWswmPTY2Nli7+whWr16NxLdFUq8lSqI8HMwgFDLvjq9LEt+jQ4imUzjx4XA4EjM6FW/XhZYtWyI6OhoRERH45ptvMG7cODx+/LhW19TV1YWJiYnEFyGEqJKoenHF9hFLh3mju4ctTPR12I3A0pIMHzfrKu8XJSGix5TmZyHq8DLE/3MEYMqTk45deyAy6g4KTNwAyE+iuFwueDwufJpbYfuk7pXaY3Rxt6aZG1IvVKuAYYsWLdhkJz8/Hx06dACXy2XvVzUdHR24uZX/I+3YsSNu376N7du3w9/fH6WlpcjOzpaY9UlPT4etra3K4yKEEHlEx9AVqV7MAfAsPVfmSawu7tZgGEahGjr5iQ9w/+AcZL55DQDgcLmYNus7bN24GtpaWsgvSUBaViECerhJtLQA3idRb3KLMGXPFThZve+WLr6RmfbokPqkXtfxEQqFKCkpQceOHaGtrY1Lly5h6NChAIAnT54gMTERvr6+ao6SENLYiWZ4bsdnYPrHbeVWLwaA9afvwtJYD98ObC2RZJTyBRIz7t7NmkhsFE7NKsTT1By4NDHEurVrsHr1avYPUzs7Oxw7dgx9+vRBcSkfXIEQAd3dsO9iDJYM85aaZIl6cRWWlm94XvEuQfN0MMPr3GK42ZrQTA+pV5RauVmVFi1ahIEDB8LJyQl5eXk4duwYLl++jAsXLsDU1BSTJk3CnDlzYGFhARMTE0yfPh2+vr5VbmwmhJCK5BUSrC6BUIgnydlYFRaJnq3sASi+KbmJsR6M9LQlHsMXMPjflRj8fvulxJHz0xEJuPk0HQ8TM+Ggz8ezs9tw+fJl9nnden2AgFlr8HeKFs4EhSOge/nzuriX114LftfQVDzJepNbxB5lFxFP0Nb9egdfdG0mtY0GIZpKqae6VCkjIwNjx45FamoqTE1N0a5dO1y4cAEffvghAGDr1q3gcrkYOnSoRAFDQgipDmUdWRctbfG4XLRytMDBwA9w4V754Ql51YuB8grGE/p64FZcRqVO5hP6eiA5sxDhsWnsElm3lrbYfzEGGU+j8M+pLSgtyAFQ3kD6++Ur8f2SRezWhLSsQuy7GAMA8GluVel4uVAoBJfLxZQ9V1BYWrk2myhBMzfSk9rklBBNpnABw2bNmsl/EIDnz5/XKiB1owKGhJDaEhXpq5iwdHG3RnZBCZ6k5EjdT7PC3wdutiYQCBkY6+vg/su3UgsULvf3gYuVMSbu+hdCprx44I9ju6DHkEmIOHuYfayDgwOOHz8OLZsWEtWdRbEE/xOLif08ZX4fMw+GS03QxAsZxqXm4MyCAbV9ywipNaUXMHzx4gWcnZ0xatQolbWlIIQ0bOooDljX5G1e9rA3Q5cqNi2LbxJWpJP5/ZeZiIl/jg8+WIiIa9fYx3388cc4cDAIL3IYrAiNBIcDtHGygIWRHk7fLP8D9eOOzlV+H7LaS/j3cEPqu0KGLe3NavN2EVLnFE58QkNDcfDgQWzZsgUDBw7ExIkT8fHHH7NTp4QQIo86igPWNS0eV27CcujyE/Rv7yj3ZJS8vUAWRnp4/eQ2Yn7bhuL8d0tbWlpYv24dZs2aDW1tLaz/I7xSuwoAeJNbjCYmelV+H9JOjfmLtbFgmPdH52mPD6kvFE58hg8fjuHDhyM5ORnBwcGYPXs2pk6dijFjxmDSpElwd3dXZZxExRrDX+KE1BV5CQvn3f+3MdNnkx1piUNVe4HKyspwav+PuHvuGDvu5OSEQ/87il49u4P77rq2ZgZYMMQLEXEZWH/6rsRyl6WxLpu0SDuOLq29xJvcImw6E43MvGK2fg8dZSf1SbVTdAcHByxZsgRxcXE4duwYIiIi4OHhgaysLFXER+qI6C/xil/SkiFCSNXkFQMc26clfJpbVZkwVFWgsJerLny790CkWNLTqZcfPl2wF5uu5iAiLgOCd1WUp/h5IiIuAytDIxGbnI1isT5cEXEZKCwVICIuQ2bVZfGETCAQoomJPhYO6YBtE7vL/R4I0UQ1mpssLi7GkSNHsHLlSkRERGD48OEwMDCQ/0RCCKknKiYCotuyxsVvy6uoDEif4RG/lvhSk3iV5L6WbzDpiw8RdfsWAEBbWxsDxs+FWb+ZiHvLh4ApX1Lj8bjvEpXyk1eympmaGuggMj5DoaUqHvXYIg1AtY6zR0RE4MCBAwgLC0OzZs0wceJE/PrrrzA3N1dVfIQQUudEBQfFT2VNG9AaLexMK42PrLApWdbeGGmblxV5TdFSU2lpKb777jss2L6dfY6ziwscBsyA0L6FRKIlWlITJSrylt6sTfVr+5YRUm8onPi0bt0aGRkZGDVqFK5cuYL27durMi5CSAOk7OKAqiDtVNbTlGyY6usgIi6j0mmtFaGRWOHvI1HET9remKraOogXORQw768980A4Vvj7wFSYi0GDv0DCk4fsc4YNG4ZeX87H2fuvJa7F5QB+bR3KrysQgsfjyq0bNKK7m2ScqDy7Q0hDoXDiExMTA0NDQxw+fBj/+9//ZD4uMzNTKYERQhqe+rBRXtqprDZOFrA1N8D603dlLhlVLOJXcRlI1tJWxSKHey/GsJWSGQCrt+3DtaM/IDc3F0B5z8KNP/yIb6dNQ+TzN0jKEcDcSA+Z+cUw0dfBFLHTW7x3vcFkHUsP6OGGwhI+Fh+LQEL6+03PXd/1AqP9O6Qhqte9uojy1Ie/xEn9tyt5F1JKUyqN2+vYI9AhUA0RSVdxacjCSE/qOPv419LHqyJtaSughxuWDvPGmpN3cPVBIp5eOICkW3+wz7G0dcTH01bhr1wrDM8tljqr9Cw9V+L01rQBratceltz8g5iXmUDkKw31N7ZEjpaXNrHQxqcetOri6hWffhLnNR/13OvS63j46HvoVGJT8Wlocz8Yqnj7OOtpJ/ikkVekcN+rtr4ccY85KW9r4Tv0fVD2PebgnQYoHtLW9iZG1RqZzHyXVNRS2M9xCZns8tl2yd1l5okHfwnFtfE+nAB7+sN+VIbCtJAUSpPCCFipJ3KepiYibSsQoVOaymiqiKHqzbvwYAPurNJj46uHn7YuhPOH8+Alq4BuBzgq3dH1FdUOKK+4t0R9Sl+nuBy3l9zz/lHUpfefr/9Ump8NZnBIqS+UCjxsbCwwJs3bxS+qJOTE16+lP4PihBCNJm0Y+Qt7c2QU1Qq9Xi5qIhfdZeEKi6bCcpK8Oi3n3B+70rk5+cDAJxc3RARcROFDl3BvEu5RPuNZB1RD70WDztzA7Rxsnj/WjISGXn1hghpiBRa6srOzsa5c+dgamqq0EXfvn0LgaByR19CCKkPqjqVVZ3TWlURXzYreJ2Ee2EbkZ/+gr1/zJgx2PHTTqQXCHH993B2XNH9RqLHAdITGXm9uApL+LTHhzRItMeHEEIUoMzzTeJJR3L0JTz+v90QlpUAAHT19LFr105MmjgRAGBqwmCFvw8i4zNQwhei2btZGnn7jUT7ksSX4sSTmKp6cXV1L29ETae6SEOkUOIjFCq+dk0IIbJo6unBikkBXyBEek4RdLV4bCNPHo8r9SRWxQKG8q4rut3G3hBa0f/Dw1Oh7P3N3Fvi99O/onXr1uyYrFmmqo6ov8ktwrO0HHg6mFVZOFHWtYVChur4kAaLwzBMxWXiRi03NxempqbIycmBiYmJusMhhKgYwzCIqHA6SlSlWTSe+DoP+77pg/i0HKnJRsUChrKuK0pC/rx8Ewu+nYzHjx+zj584cSKWr92EIiEPLexM2URFXnzyqkPXtnM6NTAm9YWin9/VallBCCH1iahysYi0GRhFqjS3c7ZAExM9rD4ZJbeAoUAgBANIPa6+IuQ2fLTisHXNEhQVFQEAtHX1MXjqYlh07IdD/73AFD9PicSlqFSAi/deQUeLi64tbJCZX4zZB8OxdWLlI+qpWYVYc/IOcotKYWGkh6z8Yozq6Q4v1yY1fg9FDYwJaSgo8SGENCjiyQ2Px8WbvGJcuJsEvlCITs2t4NnUXKKv1pOUbLR1tsDjpEy0crSAl4slbM0NsOHM+yrN1SlgKEq0Kh5X55cUIeb/duGv+5fZsXbt2mHeup9w/602zAx0sGioNyLiMioVIFz4RQeJhC0tqxB/3nmJlvZm7NhPfz7An3cSIayQmVmbvoKXaxOauSHkHUp8CCENhqw9OKN6urHJTmEJH7paXDAoT3zG9WkJACjlC6CjxWOvtWhIB/zyd3n7iJoUMBRPkvLSnuNe6EYUvk1mx/zHTMDBn3dCV08PY7jlrSVuxWVgZWgkOJzyY+tdW9jA3c60UqHCgB5uGN/XQ+L1Lt5PrpT0AEBKViEAmrkhRIR2rxFCGgS+QCizqN/NuAykZRViVlA47r98Cy6Xg2fpuZh5MBwbT9+FkGFw5/kbzAoKx5Jjt3Do8hO8ySvG0mHe6O5hyxYwDKiigGFhCZ99PlCeJDEMg6Tb5xCxdy6b9OjoGSAkJAROflNw/1UeGAYQMgxb1LCbhy2CAj/AD2N9MbRrM3A5HLhYGcPSWI/9nla+K1QoXjTR1UZ67R37d327aspFzwWOuo61ugYhmqTaic+dO3fw4MED9vZvv/2GwYMHY/HixSgtLVVqcIQQoqiqqiGHXouHrbkBtHlctrqxib4OrIz1MPvTdrgVl4G/773CwsEdsHZUZ4zr0xKtHS1QXCrA9IFtAAB7L8ZUWcBw8+/3EPMqG3eev0ZaViE+9bLBgxObEPN/uyDklwEATOya48jvl9Dro0/xIDETIdfiocXjIjmzAABga2aApcO8kfA6DzMPhuPzDecx82A4El7nsUmY+Pckvvy1blQXjO7phj6t7dHO2QJcTnlS9pFX1UmLjXbVrSnWuq7FmdZnKPkhDUa1l7qmTp2KhQsXom3btnj+/DkCAgIwZMgQnDhxAoWFhdi2bZsKwiSEEOnE9/QoUtRPtBl528TuWDzMG1wOB4+SMrFkWOX9NaJO5WN6tcCt+AzEpebI7XklZIAVe0/j4r7lSHv2jH1c+37DsH3bZvRs7Yg1J+9AyLyP61FiJhwtjTBtQGt2uUtaD68pfp648SRN4rk//nYP5kY6GNnDHWPfLdsBwJvcYrzNL0YLu6oLz+rz9AHIP73V2qA1DLmGEuOE1EfVTnyePn0KLy8vAMCJEyfQq1cvHDt2DOHh4QgICKDEh5AGTpM2yYr29EQ+y8C3A9sqXNQv8U0e+AIhnmfkoYWdKT7p6IwIGQnHCn8fjOjeHKN6ueNNbhG0eFzkF5WCx+NCX0dLoucVwzBIunUWly4chODdLI+pqSkOHjyIL774gj11Ff4uSRLFdS0mDd09bGFqoFPlrNW2id3RxskC919mss+1MtXDmN4t3h9tV6C+kDTy9gCtdV2r0HUI0XTVTnwYhmELGl68eBGffPIJAMDR0bFa/bwIIfWTpmySFR1F//veK0zx85TbgiE1qxAPEzMBAP3aOECLx8XztBy0sDOFjZkB1p26W+VR9d9uJeBZei7mfNoee/+OQUEJH4u/6AAejwsXa2M8iH+FR7/tQMbj6+zzXVq2wd9nz4AxbIIF/7sBBoC5oR7aOVvgUWImW1HZzkIf2tWYtRL/nvq3d5SatK14l7SJ6gvJmqGx17FX6P0OzQiFv7W/Qo8lRJNVO/Hx8fHBmjVr4OfnhytXrmDPnj0AgISEBNjYVL1WTAghyqLF40osUf1x5yUm9PXAcn8fhFZowdDF3ZpdXurhYYtJH7YCAAzo4ASgPImyNTOQOlskSjg+7/w+cfjqQ09cuPcK9xPfoq2TJdqZ5OLQvtnIeZPKPmbGzJn4YdMm6OjogGEYLB/RCQa673/lFpbwoafDA8MwCBzQlh2XN2tlrKeF5e/2Ff3vylOM69MS609XnbQBqPVs3P2C+/AHJT6k/qt24rNt2zaMHj0aZ86cwZIlS+Dm5gYAOHnyJLp166b0AEn9p0lLI6Tu7UrehZTSlErjrfRbYbTt6Fr9fFRcokrOLMRXfp7YNrE7+5jCEj6C/4nFneev4d+tGSb09ahUCXlkDzcsGOIFvkDIFv/LzC/Gw8T3S0o//fkA+cV8TPHzRBMTPQzt2gwMw2Dzlq1YvGghysrKl7bMzc1x4OBBtOrcB/OP3IatmQEWDPHC/Zdvpba64HLLZ3rSswuhp6NVZSsKvkCIbz9ui8z8Yuy/GMPubeJyOHCzfV+ptrCUj5TMQpld2QlpzKqd+LRr107iVJfIDz/8AB6PJ+UZpLHTlKURoh6BDoFV3l+bn4+KS1ThsWm48SQNbZws0NbJAmP7tEQpX4CJ/TwxsZ+nxJF3actCC4Z4SdTyScsqRE5RKVKzCpFdUMrOLq0+GYWnL1Lw5PftSLgn1jndyRMzVm5Dmy5d0NzWBFbGepjwQUuZS1HL/X3gamWMDWfuwr97eSLUWUbjUNF+HYFACAsjPXz1btYKALZOqPxH54Rd/8JUX6dG7yshDVm1Ex8+n49Hjx4hLa18c56trS1atWoFPT09pQdHCKnfVDnbJxQKweVyK+2JETLA/ZeZiEvNwdg+LfFXdBJGdHfD+ehEDPBykrl5WHxZCCg/FZVTVIoWdqY4eeM5pvh5sglMVmIM7p/YhOKc1+zjp8+ag/mLlsHR+v0pqgVfeEGbx5O5FCXasKzN47IntzzszeBmZyoxa1VcKkBeUSnG/fQvxn3QEoM7u8p9bw11tKR2ZZdFUxvIEqJsCic+QqEQy5Ytw65du5CTkyNxn6mpKb799lusXLmSnbYlhDRM1fmAVNZsn+jDW/xDXPS7Rt6eGBPD8lmPhy+zMMDLSe7m4R9/u4ekt/lsw8+nqTno29YBlsZ6WPdrFJ7/dxLxlw6DeXfIQ9vABAOnfI8dW+ch6W0+fvrzAf55kAwnK2N8O7AN3O1MFT5mL0qEjv8Xh+HdmrPfq54OD4WlZejQzAp/33uFwZ1d5b63X33UCm2dLBQ+1SUvES0SFCl0HUI0ncKJz8KFCxEcHIwNGzagf//+7Ebm9PR0/PXXX/j+++9RWlqKjRs3qixYQoj6qePI+rP0XLjbmeL2s9fskW1XG2OsG9VF7p4YR0sjAICutmKJUnpOoUTtHHdbE1ga6+H169cI/WEOMp5Gss8xc26NdsPmg2NV/vvQ0dII0z9ui+G+zbH3Ygz2/f0Ym8b6KnzMXpQIBfRwk9rZfekwb+y/GCPzvXLUdYSLngsAoJVYT7LqkLYnq0hQBANe7SpAE6IpFE58Dh8+jP/973/o37+/xLiLiwu++uorODs7Y+zYsZT4EEKU6kFiJppaGCI+LRenbz7H05RsCBkg5lU2Nv9+D0uHeUvdE9PZ3RpcDgeeTc1RJhCik5s123ZipQJH3sVnYP777z8EBAQgI+VdQsDhwLXnCDT/YBS4PB6bwCw5dgv5xWVskrL25B28yS1W+Ji9q7Wx1I7x4onYkC7SZ9wcdR1xpvUZ9rYiy1vSyNuTRUh9p3Dik5eXB3t72fUe7OzsUFBQoJSgSMNCewdIVeT9fHg6mEFbiwcLYz1sGuuLtKxC7L1Y3jz0Wmwagv6Jxdg+LSX256RmFWLTmWgsHNIBKW8L0LSJETq7W+PV23x0rWLzsOjIu0hCeg7Wrl2LZcuWsfXLdAzN0HboXFi6dQAgmcDcef4aQgZskjLZzxN/30tCQA83ua/JATDZz1Nu6w3xvT/iRFWV5e392ZW8C9dzr8u8n5CGTuHEp0+fPpg3bx6OHj2KJk2aSNz35s0bLFiwAH369FF2fKQBoF+mytMQSwPIi/tRUhbauVhi4+lopGUXsrMpogrIv0e+xMR+njh6NQ6Jb/LZY+gjfJtBIBCiaZPypS6hkIFTk/KZmYptJ97kFklUVAaAkvwsxJ7dgd8f32bHPvjgA8xZtQ0Xn+ZVmTQxAGKSMtGpuRVG9nSX+prix+w9HcwQ0MMNrZqaA5BfxLAq8vb+pJSm0ClLUi0N7feOwonPzz//jI8//hh2dnZo27atxB6fBw8eoFWrVjh79qzKAiWE1L/SANWZ7eMLhHj8Kgt7/3rMznYUlvKRmlmI5f4+GP9BS0zc9W+lvlWiZaboF29w/2X5ktHkfh4Y0sUVvHfLPaLWFiHh8TDU1UZ/r6bo1coeW36/h/EftER8Wi6uiyU9b5/fw4OTP6I0PwsAwOFwsHz5cixatBhcHg+f9Hi/jJSZX4y1J+8gr6gUfVrbIzO/GCb6Ohjf1wO3xPbpuNoYY4qfJzybmuPKoxR4Opizx+xF379oT468PUHS3kPR3h5ClK2+/d6RR+HEx9HREffu3cOFCxdw8+ZN9jh7586dsW7dOnz00Ud0oosQIqE6fw1q8bg4cCkWcWm5le6r2KdKdLudswXG9WmJkjIBnK2M8CwtB5/4OGOYb7Py3lXh8Vg0pAOeZ+Th4rvu67bm7zfpTuzngb/vvcJQ32ZY4e+DY1ef4K+QvXjyzzGAKU+/bG1tsWHHXowZ9gki4jIQ+i55amFvik7NreDR1ByBA1vDwuh9SY9SvgBxqTkS+3RiXmVjbvCN8iPrDuaYtPtftHK0gIWRHgqKy7BmVGcA5QmQtH1IDhYGmNjPgz3ZVh//0iZEE1Srjg+Xy8XAgQMxcOBAVcVDCGnEFDn2LX57VUBn6GqXFxz8dmBbfP1Ra3AAtkhhW2cL2JgZ4GzUS6nd10f2cMMw32a4/iQdRkwBHhxdjieXL7Ov+0G/fpi7ehs6ejSrVIQw8tlrJL7Ox9Jh5niakoPj16IkrtvZ3RrdPGwlls/E9+m0crRgZ6g8HczYx2jxuOjibi3ResOnuRWWDutY+zeYEFL9Aoa3bt3CjRs3JAoYduvWDZ06dVJ6cISQhq1icT1Fj32Lbj9Ly8HeizEw1NVGS3tT9GplB2crY5gb6mBs7xZwsirf3yOr+7qoYnNuQjT6B4xCQW750haXy8WCJcuwZsX32HX+EQaZG1QqQsjlAFP8PHGziqrMouU48Q3TFZM48aP3olpFz9Jz4WplXGkjc0Pba0GIOiic+GRkZGDo0KEIDw+Hk5OTxB6f2bNno3v37vj1119hbW2tsmAJIeqhig9c0b6b49fikfg6D/u+6aPQsW9RolBYwsepmwns8pV4EtXSwRzNbU3Z27K6rwsEAsyYMx+Rfx4B825py8HBAcePH0fPnj3BFwjZDdEVZ6PaOFnAVkpCBEjO7IiW50RESVtBcRm7qVnUjgIon/FpYWeKiLgMnLzxDCV8IZpaGMC/h7tCey3k7auy17GHh76Hws8jpKFROPGZNm0aBAIBYmJi0LJlS4n7njx5gokTJyIwMBAnTpxQepCEkHLqKg2g7M2N0mrV7L7wSGpNnoB3y0abzkSjpf37ROGfh8lYPMwbcak5sDbTlyhuKL7cdOVRCj5o41ApcSnOeYP7J39A9stH7Jhvr75o88Uc/BhegJNx4RjZww2fdnIGUHk2il12U3B5DpCc3RHf01Ox0CCHw6l0CkxR8hLRQIdAqtVDqqWhlSRROPG5cOECrl69WinpAYCWLVtix44ddJydEBVrKMsZ0mrVhMemYc3JO5g2oLXEEg9fIASXw8HCIR3Y2xwOBz097RARlwFXK+Mqm4C2c7YEIJm4vH56Gw9PbUVZYflGah6Ph6/nLEacYSe8zAUAgcRSmLdrk0objtllNznLc8Z6WtDX4Ukkcclv89HU0ggcDkdmocGaFiAkRNkayu8dEYX/Zenq6iI3t/JpC5G8vDzo6uoqJShCSMMna6ZEIBBWGmMYBq/e5mPnuQcY/uNf+OnPB9DR4iEyPgO25gYIkVHwLyYpE6YGOuALhBjZww2MgI+nFw7i7pGVbNJj59AU//33H3ge/YEKJ1NFzUt1tHnshmNPBzPo6/DAFwhRWMLHyB5uqNgYQnxm59uP2+LMggHYNrE7fJpbgcvhwM7csEbtJAghtafwjI+/vz/GjRuHrVu3ol+/fjAxMQEA5Obm4tKlS5gzZw5GjhypskDXr1+PU6dOITY2Fvr6+ujWrRs2btwoMQNVXFyMuXPnIiQkBCUlJejfvz92797N7kcihNSco64jWx1YRFQ7ZlfyLjwreob0snT2Pnn7fyrOlHT3sMXSdyev1p2SPHnVxd0aTS2NMLpnCxjr6yA1qxAAUFJWniRJS6K6e9iytXQeJWWin5sBUn9fgxd33/fa6tm3P06HHYWlpSU2XDkvNU62aCDDoFNzK/iKLT8JBEJ0kVEJWtQyQ5xoFkf0v7RZmZC6p3Dis2XLFgiFQgQEBIDP50NHp7zjcWlpKbS0tDBp0iT8+OOPKgv0ypUrCAwMRKdOncDn87F48WJ89NFHePz4MQwNy38Zz549G3/88QdOnDjBdoz/4osvEB4errK4CGnIdiXvQqBDIGy0bbDFbYvMx4n2jHwT9w1u5d2Se13RDIxojw+XA3zl51nlkpW7rQni03IxtncL5BeXAZDdeLTi9dJjIzD9t+0oKiif5dHW1samTZsQ+O10pGYXwVLKNURES1axydnwbGrOVoZ+mpKDR68y8fVHrSvtx0nNKkTwP7FscUJZqrt3qqHttSBEHRROfHR1dbFnzx5s3LgRkZGRSE8v/8vO1tYWHTt2ZGeAVOX8ecm/xoKDg2FtbY2oqCj06tULOTk5OHDgAI4dO4a+ffsCAIKCguDp6YmbN2+ia9euKo2PkIZI1KW7uX5zAPJnKPa478HgR4ORVJJU5XVFtWpEMyVGetoKnZDadCYaDID2zpbgV9F4VHTias2JW4g5tw+JN35jr2fSxA6zV+/ArK+H4VFSJuYfuoGDgR/IbV566mYC5nxmAgsjPfRqZY9ereyRllWI/2JS4WhpJLEnhwOgu6ddpeP6oveQAYO1rmurfI+koVkgQmqv2nV8TExM2MRCnXJycgAAFhYWAICoqCiUlZXBz8+PfYyHhwecnJxw48YNmYlPSUkJSkpK2NtV7WMipLEpEhQBeD+jo8gMRTPdZlUmPqJkQNrJJXknpMyN9BB6LR6+LWzwOrcIXdyt8TQ1p1LBv7ZOFkhISMDR1VOR/eopex3rVt3Q+vMZiM4pr+8T+ew1BAyw92KMzC7vXdytcfLGcyx+twxX8eTYMN9meJqag93nH1VanpOGqZTaEULqUrUSnzdv3uDgwYNSCxiOHz8eVlZWKgmyIqFQiFmzZqF79+5o06YNACAtLQ06OjowMzOTeKyNjQ0bqzTr16/HypUrVRkuIfVWelk6Bj8ajNYGrRWeodDn6cu8T7x2j6h/1Vfv+ldxOByFChiKkiBDXW08Tc2Bqb4OuByOxP6bU6dOocPgiewfSByeFloOmAzHzoPKX+fd9bTENjPnFJRWSsQy88r7cE2pYhluhb8PnK2M8TQlG0JGcrydsyV0tLgSsz41mekhhCiPwqe6bt++jRYtWmDHjh0wNTVFr1690KtXL5iammLHjh3w8PBAZGSk/AspQWBgIB4+fIiQkJBaX2vRokXIyclhv5KSqp6iJ6SxSSpJwoviF7W+Dl8gZFtJxCZno7hMgJhX2ZgTfAMRcRnsvh9pJ6TECxiKkhYDXS3sPv8IE3b9i/mHb+C32y9QWFSEMRO/wtChQ9mkR9/CDl2m/AinLp+Aw+Gw1yss4WNkTzdM6ueBpcO8EZuSjXmHb2DJsVs4dPkJHiVlwsxIF05WRlWeHAu5Fg87cwO0cbKoNG6gqyWR9CxNWIrRMaOxJGFJrd9PQkjNKDzjM336dAwfPhw///xzpWOYDMPg66+/xvTp03Hjxg2lBynu22+/xdmzZ3H16lU0bdqUHbe1tUVpaSmys7MlZn3S09Nha2sr83q6urp0DJ8QJRJVBq644VZUu4fDAdo6lTfnFG0UjozPQNcWNuhcYclKfLlpzck7YJjypCW3sBQmBjp4kZEHIQM8TsrEiHYm6ODTBU8fP2Bfc4S/P6Z8twZno9MrXW/tyTv4sH1TDO7sIrUP1/H/4rHc3wef+pQXMKxOoUIAKOELKj224lIhbVYmpO4pnPjcu3cPwcHBUmtPcDgczJ49Gx06dFBqcOIYhsH06dNx+vRpXL58Ga6ukr8YOnbsCG1tbVy6dAlDhw4FUF5ROjExEb6+viqLi5CGTPQBLDq2roiqKgPbmhlg0RDJDulpWYWIiM8AAJyOSMCnPs4SR8bf5BZh05loZOUXY/N4X3g2NceDF2/R3rUJXKyNYWmsh6ZFMejXayTy8sqTEK6WNjw+nopWX4xDG1d7+Hm7sddLzSrEmpN3EB6bBnNDHXRtYSNzNke0qRpQvI8YANhbGGDPV71kvkcFwgIAtFmZEHVQOPGxtbXFrVu34OFRuccLUN68VJX1cgIDA3Hs2DH89ttvMDY2ZvftmJqaQl9fH6amppg0aRLmzJkDCwsLmJiYYPr06fD19aUTXYTUUMUP5trOUCwY4lWpQ3pADzd2VmVIF1dExGUgMj4DTk2M0ae1PZqY6GPhkA4SJ6TauzYBXyDE9P4tsWnlYizft499DYMmTdF+xAIY27ri+pN03Hyajo7NrLBmVGccvRqHI1efsk1DS/iy6wAB72dzBEKhzD5iAT3ckJFThKJSPtxsy0+3OlqWl9jYlbwLKaUpsNSyxBzHOezzkkqSMPjRYLYukoueC+39IaSOKJz4zJs3D1999RWioqLQr18/iSally5dwr59+1Rax2fPnj0AUKktRlBQEMaPHw8A2Lp1K7hcLoYOHSpRwJAQohy1maEQ9ecSX1KyNNaDq5UxW+iPy+HA1coYf997hbNRj/DzX48wsocbxvRuIbEp2sXaGN3sgXULpuH+/fvsa7Ts2h8O/SZDS/f9BmshA7buT/SLNxKd0nW1pNcBEhHN5nA5nEonx0QtKEQNRndO7lnp+VX1xJJ18m1r0lbMdpwt83mEkNpROPEJDAxEkyZNsHXrVuzevRsCQfn6NY/HQ8eOHREcHIwRI0aoLFBR5+Sq6OnpYdeuXdi1a5fK4iCksRPNYlTURKtJlR/YFftziVdqrjgDtHSYN9acvIMbT9LwUXtH3KywB+efP09j1//tgqC0fHmJq62LzVu2ofOHg7EqLErqrIxoc7T4uI+bNcoEVc/mlAmEiHr2Gn/fe4Upfp4SfcQKS/goKuHDQE9bKVWY5zybg/TSdPkPJITUWLWOs/v7+8Pf3x9lZWV48+YNAKBJkybQ1tZWSXCEEM1Tm87eoiWlqio1r3xXqXmKnyfyi0slChsKSosR88fPSLl7kb1mq1at0Hn0YuTaeKBrCxup3d1F9X5a2ptVGhcKGbmzOcevxSM2ORvXn6ShjdjGbL5AiK0TyhMh0cbliq09xOv2dDPpBhttG4nWHsD7pUJKeghRvWoXMATKy73b2dkpOxZC6q360nNJ3XF+0dUVDxMzweFAoUrN7d91Vn+RkYf8jJe4F7oRBa8T2cc6dfwQt66cxo4LT3H5UQrWnLyDbwdKdndPyy7EPw+S4dvStlLX9zK+EJvOREOI8kRM/P43uUW4Hf8and2t2YRNyAD3X76fNdLX4UnE7qjriDOtz8j8/uUljQXCgkr90BoDdf9cksalRomPNM+ePcOUKVPwzz//KOuShNQb1e25pC7qilO0MXlcn/Kmwln55dXSHS2NoKPFxcPETIm9N2xjUHDAMAwKn17FzSNbICwrfx5PRw+en0xDv0FfwNDQEFnvTlSFx6bhxpM0jOzhBv/ubtDV5sHWzAC2ZgbIKSxBKZ8DHa3yZEWLxwUfQgzv3hx7zj/Ct/uv4sC0vsjILcK+vx/jUVIm/jejHwD5e4BEREmLvA/yJQlL8KL4BbupeUnCEjwqfISkkiR46Es/QNKQ1Zd/P6RhUFrik5+fjytXrijrcoSQBqJitWbxlg7zPm8PoPxI+96LMQiPLT+tKUoo0t9kYvSXY3Dx2FH2ekY2Lmg/YgGMrBwR0MMNfIEQX3RthlK+kF2mamFvBh0tLgQCIXjvToKZ6OsgIi5DahziMz2HrzyBuZEePvFxgYWxHt7kFsvs4xXQww15RaUw1teR+J7lfZDb69iz7UAIIXVL4cRnx44dVd6fnJxc62AIIQ2L6CTXChkd112tjLHhzF34d3+/ofl6bBoCerjhzt1o7F08Dk+ePGGv16b353Dxm4Dm9k3e791Jya7UauJNbhGepubA3c4Ux/+Lw/Buzdk4OByw+3RO3XwOAHCzNcXz9Fx4N2uC6R+3lfge9l2MwYIhXjILK0qrbSZPxSUv0VH2OfFzYMAzkPYUWg4iREkUTnxmzZoFOzs76OjoSL2/tLRUaUERQhqGiie5RMT38WjzuOyG5mn9W8GvnQOi/z2D6dNngF9W/nvFyMgYP//yM0aPGsVegy8QIq+4DPYWhoh89hqnbj6HuVg1aIYBlvv7YKC3ExtHNw9bfOXnKVFA8U1uMZqY6MHCWBe3xGaE/No5YPrHbZGWXV7wUNoeIPGkx1XPVeEGpKEZofC39mdPyNnr2CPQIRBb3LbIfA4tBxGiHAonPs7Ozti4caPMI+vR0dHo2LGj0gIjhDQMirR6ECVCq4a1xY9LZuD0ryfYx7Vo1Ra//XoCLVu2wOOkTNx+9hpPU3JQUFKGgO7lsy6PkjJxT2zTsYh45WVbMwOZBRQtjXWRll0oMTP1551EDPdtzh51vyF2oisrvxhfdG0GM0NdtqiiIrMuNtrls1L+1v4AanZCruKpsepU1SaEVCPx6dixI6KiomQmPhwOR6FaO4Q0RPWl51I3k26VPiiLBEUyl1eUQdFWD9HRd9Fx/XjEx8ezj3HsPAgfTZoDN3d3tsGp+G8ZURf0Qd7OOHnjucQGaUB8kzRkdlhf+e4aHg5m4HAA0a8xIQPsvRiDpcO82SPycak5cLESShx1rw5R5/qaLlvJOzVWX9WXfz+kYVA48Vm1ahUKCwtl3t+qVSskJFT+h0xIY1Bf9ljUpgZPTfCrKA4o6rj+4OVbJEb8gbgLByDgl1dY1tIzROvPZ8CmdXeYGhlVuWQW8m5Wp42ThcRRc+B9cpVbWIomJnpYfTKqWtcIj03DpjPRmPdZe4k9RHyBsMqkR9YHtr2OPQD5y1aiU18VEyFFT43VN/UxZlJ/KZz4tGrVqsr7tbW14ezsXOuACCHKp64PSi0eF13crSsVFRRtDF5y6AruhqxHxuPr7HNMHdzRdvgCGFjYAgBa2JsCkL9kZlmhO7oouXqTW4RSgZDt5l7VNSp2WAfKT5yJlrPEv6+q1PY9fVH8osrEiPb7EFJzSjvOTghRvZomMOr8oORwOJVOXRWW8LF89wnsWDYThZlp7LjvxyNh6DMCXK3yavAcAD7NrQDIXzL7rJMz0rILpVZezswrVugaWWId1kWvLzoyLy3Zkfbfw0bbBs31myPQIRC7knfheu77pK42zUirs3maECJbtRKfmJgYFBcXo0OHDgDKa/d8/fXX+O+//+Dj44Pdu3ertEM7IY1dff1LXzxp4PMF2LPrJ2xcuABlZeVLW2ZmZjgYFATbVr6Vjox7NDWvcslMlJi0sDeTOHVVVMrH6YgE3HiajsdJmTgw7YMq6/HwBUKM6ukOa9NXSMkqhL25AT7yckRbJwuZy1rS/nvEFsUivSxd6cuKtBxEiHJUK/GZPXs2Bg4cyCY+q1evxq1btzB//nwcPXoUs2bNwvHjx1USKCFEs1WcFZE2S/L27VsMH/kl/v37PDvWtWtXhISE4FhUJnytjCWSl9SsQmw6E42FQzpUuWQmZBjwuOWvJRQKweVysehoBGJeZbPXEm1UllWPRyhk4OXaBF6uTZT2ngQ6BNb5vipCSNWqlfg8fvwYK1euZG+fOHECP/30EwYNGoQPP/wQPXv2VHqAhBDNxzAMEjLycP5uIv55kAwnq/dVkUWzJdeuhWPUqFFISnrfa2v6zDno+NkkODs7I+3SK0zY9S/aOlugvXMTAAzuvXyLMr4QAHDuTiL6tHGotGQGgE16GIbBs/Q8uNuZIiFdcj9PeGwa1py8g6kfVu6wDoCt8Kzs/VCijcoA4G3kjbmOc+WeYrLRsamXM3uE1AcKJT4TJkwAAKSnp+PHH3+EkZER8vPzkZiYiNDQUPz6669gGAaZmZmYOHEiAODgwYOqi5oQItWShCXggFOnyyKimR13O1O427XFcN/m2Hsxhj1q7u1qie3btmLx4sXg88uTDB0DEwyY8j1GThuDLu7WyMwvbwtx8d4rTBErMDgaQHGpAPnFZbj8OAW7zz/EprG+aOlgBh6XCx0tLptYiapEn7r5HJvG+krdzxMem4as/GK2ozoAiWsA1VtOlFVDp+J4gbAASSVJbB0fef99muo0hYe+R7WPedPxb0LkUyjxCQoKAgBcv34dw4YNg7+/P/bv34+XL1/i8OHDAIC0tDScPXuWEh5C1Eg0s1CRqj4opfXhCujxvv1E0LlIrP5rN/7880/2OWZOrdBu+HcoNm3CVmz2sDdDF3drdHW3xs13BQZtzQwwxc8TTUz0APCwaYwv0rIK8eedl2jlaAFAcu+Q6Mj705RspGUVSt3P42BhgAl9PSSW4eSd0KqKIhuVRY8Z/Ggw0svSAUjOAokTbX6e4zin0n1LE5aiUFCILW5baL8PIbVQraWukSNHYtKkSTh48CCuXbuGnTt3svf9999/8PLyUnZ8hBAxNU1gVPFBKasPlyiZaWeYifXLxqE49235nRwOXHsOR/MPRoPLK++QLt66IrewFI9fZWFlaCS6ediyVZZXn4ySSKrG95XdvfxFRp5E4UHx/Tw+za2wdJhi1eUrVkcGpM/uyFsW25W8C6mlqVjjugatDVq/j1POcXVpRDNRgx8NRmuD1ljrupZteSFOVJBSE5OjhlZ/iNRP1Up8VqxYAUdHR0RHR2PChAkICAhg70tJScGcOZX/SiGEKI+8D4cCYUGlD2xVkVVUUCgUYu6iZbj12wEIBAIAgJWVFZp/MhMmrl6VriOqoWNioIPj1+LB4QBfVVFlebm/Dzo1t4IWj1tpA7VoeUu0n6dify0A2Jq0FbMdZ8v8vmy0barsmSVO3rLYs+JnSC8tn+Wp6TH2ipJKktj/xtdzr0t9fQ992cmhOtXXU4mkYal2HZ9JkyZJHZ85c2atgyGEVCb6K9lG2wb6PH22oWXF5RLRPhJVf+iJJxsVCwKW5Gfj4a+b8fbZXXasd+8+OH78GDace15lDR3R9do4WcDW3ADrT9+V2dzUt4UNdp57AJ/m1uwG6opH3sNj03DjSRo+aG2PgB5ucLAwBI/HhQ63vNGyaLakSFCE9LJ0dpmptm0lxImSHlmo7xYhdY8KGBKi4UR/JYv+UvbQ90CgQ2CNlktqS7Sn53Z8BqZ/3FZiA3Hm8/u4f/IHlOZnASgvXPj9999j2bJlYMDByB5cma0rcgpKYGqoCxdrY7Z6srwqy3lFfHYDtc+7GaCKR959mlvhuyEdJJ4vOl4ufsx88KPBbBLZSr+8Sr2yZyeWJCwB8H7mp6H23SJE01HiQ4iGqzgLILotb7+PrGrDNSW+p4fDAYb7NkdADzesOB6BZ1dC8exyCMCUHz23tLLG8aNH8eGHfuzzpdXhEa+uXMoXYGQPN5y6+bz8+1Sguamoz5boiLu0KtGA/NmbZnrNIMrIRtuOru1bJZX47Jx4FWZV7nupWDlamdcmpL6ixIcQDSdrb4i8Dy5lJj2i64n29HRraQtdbR6cjQR4e/4HPLt5jX1cp2698PuvobC1ta10DS8XS4mk5E1uMU5FJODm03SY6OtgyTBvdlxWlWVRc9OHieXNRMU7sIvirMhOxw4MGBQJi9jlpwJhAZtwbGmu2J6e2ioQFgCQ/G+n6MySeKKr6JJYSmkK7akhpAJKfEi91BhOhyhyYijQIRAbTt1B0tsCiccIGQZ7vuql9JheZOShu4ctlg7zxk/BJ/D9nGnIyy4/tcXlcrFq1SrM/24BdLQlf7WIZouuPEzBgi864Mff7iE9pzx5EYplNqJO6Fo8LiyNdWVWal5z8g77PPE9QrLIqp687uU69v+L9vy0M2wHf2t/hd4PebNuLnou4OB9jaCkkiQMfjQYhlzDavftkvZzLe/17XXs4ajriKSSJIVfR5Wo/hDRBJT4kHqpMZwOkfc9io4xJ70tQHxarsR9ng5mKonJ1cYYX3/YEpOmzUHwL9sBpjz7MDJrglFz1mPI2C/A5UrOuDAMw84W6Whx38WcL3UZS7wTurRlq9SsQqw5eQcJGblwszUBB8DEfpJ1eZYmLAUDBmtd18pNHhc7L2bHatJaQl6SLZ7YiGZ7lJmEyHt9UcuMwY8Ga0Ty01D+KCH1W7UTH4FAgODgYFy6dAkZGRkQCoUS9//zzz9KC44QIpu9jj0AiM0ngL1dVUfxmuILhBjZsQmGffYx/vvvP3a8iXtHtPliDl7AFHv/jpE4Ps4XCJGQUd5C4kVGHkr5ApnFBaXFLR4/wzB4+ToPXA4QFPiBzDjFEx1FEmTx5Ej8KHtNZidCM0LxpuwNAKBEWAJrbWt8afslNidthiHXUOLEnaLLVbL26fgY+bDH8uXV86mrEgeE1AfVTnxmzpyJ4OBgDBo0CG3atJHZtZgQolqiGYrJfp4I/veJ1A3D1VVVo9G//7qAMWPG4O3b8qUtDpcLt35j4dL9C3DezfJI229z/m4i3O3enwATFRfcPN4XUc9e42lKDgpKyuDfvXLc4q9fcQao4mxOdZeORGQlRzWZnZC1RDbXcW61ryWiyD6d+lbPhxB1qnbiExISgrCwMHz88ceqiIcQUk1tnCwqzbLUJOmR1n5iZA83eLuY4/vvv8emTZvYxxpZWKPVF/Nh5uQpcQ1p+23+eZDMngBbGRoJAMguKEFrRwu0ftd6gi8QggPgaWoOdp9/JPH64smQeFKWUJygsoKNc+LnsO0lJL4/BZOrXcm7AJQnp7KW27qZdEOgQ2Cd7HupOLtEe2pIY1btxEdHRwdubm6qiIUQUgMVl7Nqsrwlq/3Egl/+ROa/u/HwbiT72I8GfIw5Kzdj64VncpeqAMDJypid5dk+qTvc7UwREZeBkGtRlRKcsPBn7N6f2OTsSnV6xFWnwnJ1pZel12oP2fXc67DRKZ+ZkjWjpGjD0iJBUY3jEFFW1WhCGoJqJz5z587F9u3bsXPnTlrmImrTGE6H1OX3KK39REZsBB6e3gp+UT4AQFtbGxs3boRx2/74sFNLmJiZs32wxE9cif9eEAiFmPqhJ+YduoG1J+9gwRAv3JLSimLFu1YUk/08cf1JGntiq2KdHnEVKyzXdKmrJjYnbcad/Dvs7YqnCW20beQeka/YsFRW/NJmnqqrYvFEQhqzaic+165dw7///otz586hdevW0NbWlrj/1KlTSguOEFkaw+mQuv4eRZWShfwyxF0Mxsvrv7H3ubi4IDQ0FN4dfRD57DXWnryDKRX6YBWW8CEUMuDxOOysD4/LRStHC5yc3x+XHyZDR4sntb+XeLPSNk4WuP8y831c7/YNCYRC8LiVZ7MqzqiIFwdUVfJ4J/9OlTNCoqRMEXVRgVtaJ3hCGqtqJz5mZmYYMmSIKmIhhKiRi7Ux7jyMRcL/bUVy/CN2/IsvvsAve/ehiWX5fpwu7tYAgI1n7sJQVxst7E3h09wKnk3NweFwZO4VGujtBEB+KwpRywo2rnf7hqQlPeKkFQdUJHnsZtINLnouKBIUVSthqYqllqXCjxXtvxEtfVWkSPLWGGZACVGWaic+QUFBqoiDECJFVaeslP06doVPEPnLLBQXli9tcbW00XrgZDh8PArxb8tgacGAw+FIra8j2lAta6/QqrBI7P6qJ1ysTRRqRSEiqtScll0IWzMDiceLjvOLSCsOKDrmballiTmOc6R+79Lq99Q2kdDl6ir0OED+8pMiyZu8x9ho28CAZ1DlYwhpLKiAIamXGkPlZlkzJzU9qi5LSUkJ5s2bh507d7Jj+hZ2aD9iAUzs3fAkJafSJmNZG6ql7RXq7mGLr/w8YWtuUKmDuohoY3RhCR98gRD6OjyJfUPB/8RiYj/JE2TSEpaKRfpEx7xFx7oV/bmR9zMkml2SpYl2E4lrSyMaX5KwBBxwVPpzq6pN4ITURwolPt7e3rh06RLMzc3RoUOHKn/p3rlzR+Z9hChLQ6/cLGvmpKpTTjURHx8Pf39/iX+37p36wfHDqdDSez9DIL7JWCAQglfFLJT4UpaovUVEXAbWn74LWzMDLBjiJbNZaSlfiK0T3u8bSs0qxNqTd/Bh+6ZKme2qyc+N+NH0JQlL8KjwkdwqyOL1fOQlNI8KH1GBQULqkEKJz+effw5d3fKp28GDB6syHkIIpM+cAFWfcqqu0NBQTJkyBXl55YmKrq4utm/fjj8ynVDCF1Z6vGgPzvOMPOw891DmLJRoKYvLAb7y80SE2Cmu2ORslAmE+KrCxmjRUpmOFhePkzIRKaewoThpMyoVO9grWiVZGlHV5ECHQHDAqVSBWVYMwPt6QKKlN9EJLpECYQGSSpKo0CAhdUihxGf58uVS/z8hRHXkbQKuqaKiIsyePRu//PILO9aiRQuEhYWhffv2eHwwvMo9OPv+fiyz1g4AdimrjZMFbM0NsP70XYkELjw2DTeepGGQtxO+/bgtAEhUZ25hb4ZW7wobAvILMlY1o6Ks5SNpG6cVUbEeUF2c4CKEVE35uyQJIUrhYi2967gi3chlefLkCbp27SqR9Hz55ZeIiopC+/bt2T04svp/vcktwoPETIn7RLNQor0/XdytscLfB22dypMXaQmckAEuPkiWGqMyCjIqm2jj9OiY0eyXqDYOIaR+oc3NhGggeZuAa7Lf5ciRI/j6669RUFA+e6Gvr4+dO3diwoQJEi0hRImLtD04G05Hs8UFxYnPQlU89SXvFFd9UZPu5tVdaqu4FNaQNusToiko8SH1kibXLVHGEXR5CUh1TnUVFhZi+vTpOHjwIDvm6emJEydOoHXr1pUeX9Vx9bTsQqmvUTGJ0eJxsfT4Lcz9tL3CndirqyYn++r656ZiHPJen5bCCFE9SnxIvaSpfwUr8wg6h8NBJzfpCYiiHj9+jBEjRuDRo/cFCSdMmICffvoJhobVO0kkqOYsVF5RGX469xBLh3ljub+PRHuLmnaQX5qwFAwYrHVdW6MTWjX5uVFmslTbY/KEkNqrceJTWlqKhIQENG/eHFpalD8Roswj6OItH8RvV2d2JDg4GNOmTUNRUXmTS0NDQ+zZswdjxoyp8nlVJW+KzkKJL9WtOXlH5imu6pI2w6NqdZFkK3pMXlUaQ10sQkSqnbGIps0PHToEAHj69CmaNWuG6dOnw8HBAQsXLlR6kCJXr17FDz/8gKioKKSmpuL06dMSx+sZhsHy5cuxb98+ZGdno3v37tizZw/c3d1VFhMhIso6gl7bWaP8/HwEBgbi8OHD7Fjbtm0RFhYGD4+qj00rkrzJWgYTV3Gpbtq+q+jbxgH9OzjBzdZEIzYsK0J0HL0iZTdEfVH8Qm1JD9Dw62IRIq7av30WLVqEe/fu4fLly9DTe99Tx8/PD6GhoUoNrqKCggK0b98eu3btknr/pk2bsGPHDvz888+IiIiAoaEh+vfvj+LiYqmPJ0TZansEnS8QIiIuAytCIxGbnI3iMgGbeETEZYAvqFxfR/Q8ALh//z46deokkfR89dVXiIiIkJv0APKTt6qqNlck2iu0bWJ3nPpuAL79uC1crY2VWnVa1UTH0St+Kbvpp4ueCxx1HZV6TUKIdNWe8Tlz5gxCQ0PRtWtXiV9grVu3xrNnz5QaXEUDBw7EwIEDpd7HMAy2bduGpUuX4vPPPwcAHD58GDY2Njhz5gwCAgJUGhshQO1PMNVk1ohhGNyOz8DSdVtw+dh2CPmlAAAjIyPs27ev2j/7yqwfpIlH06ujrjZDi2aPKs4wacJmfUIammonPq9fv4a1tXWl8YKCArX+JZeQkIC0tDT4+fmxY6ampujSpQtu3Lgh85d/SUkJSkpK2Nu5ubkqj5U0TMo6gl6dxIMvEOLKvef4cvwkpD24yo4b2zbDgUNHMKRfl+p+G/Xm+HldJCU13d9Scc+MaGlM3l4a6qlFiOpVO/Hx8fHBH3/8genTpwMAm+zs378fvr6+yo2uGtLS0gAANjaSfxHb2Niw90mzfv16rFy5UqWxkcZBWUfQq5N4PLh/D0MHfoacjFfsmGPnQWjRfxLCXwkxvJozLKqoH6RMrnquKBSUH6mvy023oi7v4ooE5ZvGpSUrsvbM0F4aQtSv2onPunXrMHDgQDx+/Bh8Ph/bt2/H48ePcf36dVy5ckUVMarUokWLMGfOHPZ2bm4uHB1prZ3UTFU1cBShaOLBMAz27NmD2bNno7S0fGlLS9cArQbPgG3rHgBqvjSlrPpBqqCuE0aiLu8VNZQeW5pcF4sQZat24tOjRw9ER0djw4YNaNu2Lf766y94e3vjxo0baNu2rSpiVIitrS0AID09HXZ2dux4eno6vLy8ZD5PV1eXbcBKiDLUZl+LIolHTk4OJk+ejJMnT7LPM7F3R7sRC2BgYcuO1XRpqrbJm6pJm30BgCZaTTDbcbZKXrObSTe46LmgSFDUIPfg0JF10pjUqABP8+bNsW/fPmXHUiuurq6wtbXFpUuX2EQnNzcXERER+Oabb9QbHNFImlq7pKrE4/bt2/D390dCwvu4/cd9hUzngeBoab+/Bmq3NKXJm5IDHQLlPkbZyZEir0kIqR+qnfj8+eef4PF46N+/v8T4hQsXIBQKZZ66Uob8/HzEx8eztxMSEhAdHQ0LCws4OTlh1qxZWLNmDdzd3eHq6orvv/8e9vb2ErV+CBHR5P0WFRMNHpeD7du3Y/78+SgrKwMAmJmZITg4GJ999hki4jI0cmlKXWqTqGhqQkwIUY5qJz4LFy7Ehg0bKo0zDIOFCxeqNPGJjIzEBx98wN4W7c0ZN24cgoOD8d1336GgoABfffUVsrOz0aNHD5w/f16i3hAh9U1mZiYmTpyI3377jR3r2rUrQkJC4OzsDAAqX5qqbv8xZSQPNb1GbV9bGQlxxSUwUZPSutxLQwkcIdJVO/GJi4tDq1atKo17eHhIzMaoQp8+fcAwUlpDv8PhcLBq1SqsWrVKpXEQUldu3rwJf39/JCYmsmPz58/H2rVroa39fmlL3lJUbU5j1aSStDKSh+pco7Y9vJRNVmJRlwmHJrwPhGiiaic+pqameP78OVxcXCTG4+Pjq930kBAinVAoxObNm7F48WLw+XwAgKWlJQ4dOoRBgwZV+VxlNkpVZv8xVVJHDy9CSP1U7d9Yn3/+OWbNmiVRpTk+Ph5z587FZ599ptTgCGmM3rx5g88++wzfffcdm/SITlPKS3pq2vJCFkVaWBBCSH1S7RmfTZs2YcCAAfDw8EDTpk0BAK9evULPnj3x448/Kj1AQlRFE2uXXLt2DQEBAUhOTmbHFi1ahFWrVkFLS/Kfa8XlK8G728polCqOy+HA3sIAKZmFEuM1qRNECCHqVqOlruvXr+Pvv//GvXv3oK+vj3bt2qFXr16qiI8QldGkDZ5CoRAbN27E999/D4FAAACwsrLC//73v0onKAHpy1nfDmwDdztTpfbaAoCtE7oBACbs+hcAYKBT/mvD1VqzWlgoiyYmxIoS3+tECJGuRnV8OBwOPvroI3z00UfKjocQjVXdk02KysjIwJgxY/DXX3+xY3369MHRo0dhb28vNQ5p+272/f0Ym8b61rjXlrxTQM5NjLDCv5NC35MykoeaXqO2r62s/lyA4j26lEX8NepzAkeIKimU+OzYsQNfffUV9PT0sGPHjiofO2PGDKUERogmUeaGYXGXL1/GqFGjkJqaCqD8j4rvv/8ey5YtA4/Hk/ocWctZDxIz8Sa3uMa9tuSdAmpmYwJAsWPSyvgwr8411NXDS1xV719dnrAqEBYA0KwZTUI0iUKJz9atWzF69Gjo6elh69atMh/H4XAo8SENjipONgkEAqxduxYrV66EUFi+4djW1hZHjx5F37595T5f2nKWkAH2X4rBgsFeKum1NbZPSwCaeUyaPuTfSypJwuBHg2HIfX/KVjTzRAhRMPERL48v/v8JaQyUvWE4LS0No0ePxj///MOO+fn54ciRI7CxUexaspaz0rIKNb7XFlG9pJIkdYdAiMaq1p+pZWVlaN68OWJiYlQVDyEaSVkbhi9evIj27duzSQ+Xy8WaNWtw/vx5hZMeUQf3imlMVctZdOycEELKVWtzs7a2NoqLi1UVCyEaq6YbhkX4fD5WrFiBdevWsdXH7e3tcfz48WqfiFSkg3tDR+0YpKMNzYTIV+1TXYGBgdi4cSP2799fqa4IIQ2RaIalJhuGASA5ORmjRo3C1atX2bEBAwbg8OHDsLKyqlFMqljOqk8fmpq4z0ja+1TXPboac9JHiKKqnbncvn0bly5dwl9//YW2bdtWalNx6tQppQVHiCaozQzL+fPnMWbMGLx58wYAwOPxsHbtWsyfPx9cbu2Wn5S9nKXoh2Z9SpDqUlXvHyUkhGiOaic+ZmZmGDp0qCpiIURjVXeGpaysDN9//z02btzIjjk6OiIkJATdunVTebyqRB/ihJD6rNqJT1BQkCriIETjKTrDkpiYiJEjR+L69evs2KeffoqgoCBYWlqqNEZSGe0HIoSIUzjxEQqF+OGHH/D777+jtLQU/fr1w/Lly6Gvr6/K+AipV/7v//4P48ePR2ZmJgBAS0sLGzduxOzZsxvFpmNNpIn7gQgh6qNw4rN27VqsWLECfn5+0NfXx/bt25GRkYGDBw+qMj5C6oXS0lIsWrQIW7ZsYcecnZ0RGhqKLl26qDGyhon2GRFCakrhxOfw4cPYvXs3pk6dCqC8HsmgQYOwf//+Wm/SJKQ+S0hIQEBAAG7dusWODRkyBAcOHIC5ubkaI1M9ZS0jVfc6tERFCKkphROfxMREfPzxx+xtPz8/cDgcpKSkoGnTpioJjhBNd+rUKUycOBE5OTkAAB0dHWzevBmBgYGNYmlLWctItBxFCKkrCic+fD4fenp6EmPa2tooKytTelCEaLqSkhLMmzcPO3fuZMeaN2+O0NBQdOzYUY2REUIIqYrCiQ/DMBg/fjx0dXXZseLiYnz99dcStXyojg9p6OLj4+Hv7487d+6wYyNGjMDevXthamqqxsiINLQfiBAiTuHEZ9y4cZXGvvzyS6UGQ4imCwsLw+TJk5GXV96jS1dXF9u2bcPUqVMbxdJWfUT7gQgh4hROfKh+D2nMioqKMGfOHPz888/sWIsWLRAWFob27durMTJCCCHVQc22CJHjyZMnGDFiBO7fv8+OjR49Gnv27IGxsWJNShsqZS0j0XIUIaSucBhRq2gCAMjNzYWpqSlycnJgYmKi7nCImh09ehRTp05FQUEBAEBfXx8//fQTJk6cSEtbhBCiQRT9/KYZH0KkKCwsxIwZM3DgwAF2zNPTE2FhYWjTpo0aIyOEEFIblPgQUsHjx48xYsQIPHr0iB0bP348du7cKXGCkRBCSP1DJZcJERMcHIxOnTqxSY+BgQEOHTqEoKAgSnoIIaQBoBkfQgDk5+cjMDAQhw8fZsfatGmDEydOwMPDQ42REUIIUSaa8SGN3oMHD9CpUyeJpGfKlCm4desWJT2EENLAUOJDGi2GYbBv3z507twZsbHlfaKMjIxw7Ngx7N27F/r6+mqOkBBCiLLRUhdplPLy8jB16lQcP36cHfPy8kJoaChatGihxsgIIYSoEs34kEbn7t278Pb2lkh6pk2bhhs3blDSQwghDRwlPqTRYBgGu3fvhq+vL+Lj4wEAJiYmCAsLw65du6Cnp6fmCAkhhKgaLXWRRiEnJweTJ0/GyZMn2bGOHTsiNDQUzZs3V2NkhBBC6hLN+JAGLzIyEt7e3hJJz8yZMxEeHk5JDyGENDKU+JAGi2EYbN++Hd26dcPz588BAGZmZjh9+jS2bdsGXV1dNUdICCGkrtFSF2mQsrKyMHHiRJw5c4Yd69KlC0JDQ+Hs7Ky+wAghhKgVzfiQBufmzZvo0KGDRNIzb948/Pfff5T0EEJII0eJD2kwhEIhfvzxR/Ts2RMvX74EAFhYWODs2bP44YcfoK2treYICSGEqBstdZEG4e3btxg3bhz++OMPdqx79+44fvw4HB0d1RgZIYQQTUIzPqTeu3btGry8vCSSnkWLFuHy5cuU9BBCCJHQIBOfXbt2wcXFBXp6eujSpQtu3bql7pCICgiFQqxfvx59+vTBq1evAABWVlY4f/481q1bBy0tmtAkhBAiqcElPqGhoZgzZw6WL1+OO3fuoH379ujfvz8yMjLUHRpRooyMDHz88cdYvHgxBAIBAKB3796Ijo5G//791RwdIYQQTdXgEp8tW7ZgypQpmDBhAlq1aoWff/4ZBgYGOHjwoLpDI0py5coVeHl54cKFCwAADoeDZcuW4eLFi7C3t1dzdIQQQjRZg0p8SktLERUVBT8/P3aMy+XCz88PN27ckPqckpIS5ObmSnwRzSQQCLBq1Sr07dsXqampAAAbGxv8/fffWLlyJS1tEUIIkatBJT5v3ryBQCCAjY2NxLiNjQ3S0tKkPmf9+vUwNTVlv2gzrGZKS0tD//79sXz5cgiFQgBAv379EB0djX79+qk5OkIIIfVFg0p8amLRokXIyclhv5KSktQdEqng4sWL8PLywqVLlwCUz+KtXr0aFy5cgK2trZqjI4QQUp80qLWBJk2agMfjIT09XWI8PT1d5gekrq4u9WzSUHw+HytXrsTatWvBMAwAwN7eHseOHUPv3r3VHB0hhJD6qEHN+Ojo6KBjx47szABQfuT50qVL8PX1VWNkpLqSk5PRr18/rFmzhk16BgwYgOjoaEp6CCGE1FiDSnwAYM6cOdi3bx8OHTqEmJgYfPPNNygoKMCECRPUHRpR0Pnz5+Hl5YWrV68CAHg8HjZs2IA//vgDVlZWao6OEEJIfdaglroAwN/fH69fv8ayZcuQlpYGLy8vnD9/vtKGZ6J5ysrKsGzZMmzYsIEda9q0KUJCQtC9e3c1RkYIIaSh4DCidQQCAMjNzYWpqSlycnJgYmKi7nAajaSkJAQEBOD69evs2CeffILg4GBYWlqqMTJCCCH1gaKf3w1uqYvUP2fPnoWXlxeb9GhpaWHz5s34/fffKekhhBCiVA1uqYvUH6WlpVi0aBG2bNnCjjk7OyM0NBRdunRRY2SEEEIaKkp8iFq8ePEC/v7+Eg1kBw8ejIMHD8Lc3FyNkRFCCGnIaKmL1LnTp0+jQ4cObNKjo6ODHTt24NSpU5T0EEIIUSma8SF1pqSkBPPnz8dPP/3EjjVr1gxhYWHo2LGjGiMjhBDSWFDiQ+rEs2fP4O/vj6ioKHZs+PDh2LdvH0xNTdUYGSGEkMaElrqIyp04cQLe3t5s0qOrq4s9e/YgNDSUkh5CCCF1imZ8iMoUFxdjzpw52LNnDzvm7u6OsLAweHl5qS8wQgghjRYlPkQlnj59ihEjRuDevXvs2KhRo/Dzzz/D2NhYjZERQghpzGipiyjdsWPH0LFjRzbp0dPTw/79+3HkyBFKegghhKgVzfgQpSksLMSMGTNw4MABdszDwwMnTpxAmzZt1BgZIYQQUo4SH6IUMTExGDFiBB4+fMiOjRs3Drt27YKhoaEaIyOEEELeo6UuUmuHDh2Cj48Pm/QYGBggODgYwcHBlPQQQgjRKDTjQ2qsoKAA06ZNw+HDh9mxNm3aIDQ0FK1atVJjZIQQQoh0NONDauTBgwfw8fGRSHomT56MiIgISnoIIYRoLEp8SLUwDIP9+/ejc+fOiI2NBQAYGRnh6NGj2LdvHwwMDNQcISGEECIbLXURheXl5eHrr7/GsWPH2LH27dsjLCwMLVq0UGNkhBBCiGJoxocoJDo6Gh07dpRIer755hvcvHmTkh5CCCH1BiU+pEoMw2DPnj3o2rUr4uLiAAAmJiYIDQ3F7t27oaenp+YICSGEEMXRUheRKScnB1OmTMGJEyfYsY4dOyI0NBTNmzdXY2SEEEJIzdCMD5EqMjIS3t7eEknPjBkzEB4eTkkPIYSQeosSHyKBYRjs2LED3bp1w/PnzwEAZmZmOHXqFLZv3w5dXV01R0gIIYTUHC11EVZWVhYmTpyIM2fOsGOdO3dGaGgoXFxc1BYXIYQQoiw040MAABEREejQoYNE0jN37lz8999/lPQQQghpMCjxaeQYhsHmzZvRo0cPvHz5EgBgYWGB33//HT/++CN0dHTUHCEhhBCiPLTU1Yi9ffsW48ePx9mzZ9mxbt26ISQkBI6OjmqMjBBCCFENmvFppMLDw+Hl5SWR9CxcuBCXL1+mpIcQQkiDRYlPIyMUCrFhwwb07t0br169AgA0adIE586dw/r166Gtra3mCAkhhBDVoaWuRiQjIwNjx47FhQsX2LFevXrh2LFjcHBwUGNkhBBCSN2gGZ9G4sqVK/Dy8mKTHg6Hg++//x6XLl2ipIcQQkijQTM+DZxAIMC6deuwYsUKCIVCAICNjQ2OHDkCPz8/NUdHCCGE1C1KfBqwtLQ0fPnll7h06RI71rdvXxw9ehS2trZqjIwQQghRD1rqaqAuXboELy8vNunhcrlYtWoV/vrrL0p6CCGENFo049PA8Pl8rFq1CmvWrAHDMAAAOzs7HDt2DH369FFvcIQQQoiaUeLTgKSkpGDkyJG4evUqO/bRRx/hf//7H6ytrdUYGSGEEKIZaKmrgTh//jzat2/PJj08Hg/r16/HuXPnKOkhhBBC3qEZn3qOz+fj+++/x4YNG9ixpk2b4vjx4+jRo4caIyOEEEI0DyU+9VhSUhJGjhyJ8PBwdmzQoEEIDg5GkyZN1BgZIYQQoploqaueOnv2LLy8vNikR0tLCz/88AN+//13SnoIIYQQGWjGp54pLS3F4sWLsXnzZnbM2dkZISEh6Nq1qxojI4QQQjQfJT71yIsXLxAQEICIiAh2bPDgwTh48CDMzc3VGBkhhBBSP9Sbpa61a9eiW7duMDAwgJmZmdTHJCYmYtCgQTAwMIC1tTXmz58PPp9ft4GqyJkzZ9ChQwc26dHW1sb27dtx6tQpSnoIIYQQBdWbGZ/S0lIMHz4cvr6+OHDgQKX7BQIBBg0aBFtbW1y/fh2pqakYO3YstLW1sW7dOjVErBwlJSX47rvvsGPHDnasWbNmCA0NhY+PjxojI4QQQuofDiMq71tPBAcHY9asWcjOzpYYP3fuHD755BOkpKTAxsYGAPDzzz9jwYIFeP36NXR0dBS6fm5uLkxNTZGTkwMTExNlh18tz549g7+/P6KiotixYcOGYf/+/TA1NVVjZIQQQohmUfTzu94sdclz48YNtG3blk16AKB///7Izc3Fo0ePZD6vpKQEubm5El+a4MSJE/D29maTHl1dXezevRthYWGU9BBCCCE11GASn7S0NImkBwB7Oy0tTebz1q9fD1NTU/bL0dFRpXHKU1xcjGnTpmHEiBFsEubu7o6bN2/im2++AYfDUWt8hBBCSH2m1sRn4cKF4HA4VX7FxsaqNIZFixYhJyeH/UpKSlLp61Xl6dOn6Nq1K/bs2cOOjRw5ElFRUfDy8lJbXIQQQkhDodbNzXPnzsX48eOrfEyzZs0UupatrS1u3bolMZaens7eJ4uuri50dXUVeg1VOnbsGKZOnYr8/HwAgJ6eHnbs2IHJkyfTLA8hhBCiJGpNfKysrGBlZaWUa/n6+mLt2rXIyMhgm3L+/fffMDExQatWrZTyGqpQWFiImTNnYv/+/eyYh4cHwsLC0LZtWzVGRgghhDQ89eY4e2JiIjIzM5GYmAiBQIDo6GgAgJubG4yMjPDRRx+hVatWGDNmDDZt2oS0tDQsXboUgYGBGjGjI01MTAxGjBiBhw8fsmNjx47Frl27YGRkpMbICCGEkIap3hxnHz9+PA4dOlRp/N9//0WfPn0AAC9fvsQ333yDy5cvw9DQEOPGjcOGDRugpaV4fldXx9kPHTqEadOmobCwEABgYGCAXbt2yV36I4QQQkhlin5+15vEp66oOvEpKChAYGCgRBLXunVrhIWFafSSHCGEEKLJGl0dn/rg4cOH8PHxkUh6Jk2ahFu3blHSQwghhNQBSnzqAMMw2L9/Pzp16sQezzc0NMSRI0ewf/9+GBgYqDlCQgghpHGoN5ub67O5c+di69at7O327dsjLCwMLVq0UGNUhBBCSONDMz514PPPPweXW/5Wf/3117hx4wYlPYQQQoga0IxPHejduzc2bdoER0dHjBgxQt3hEEIIIY0WJT51ZO7cueoOgRBCCGn0aKmLEEIIIY0GJT6EEEIIaTQo8SGEEEJIo0GJDyGEEEIaDUp8CCGEENJoUOJDCCGEkEaDEh9CCCGENBqU+BBCCCGk0aDEhxBCCCGNBiU+hBBCCGk0KPEhhBBCSKNBiQ8hhBBCGg1KfAghhBDSaFB39goYhgEA5ObmqjkSQgghhChK9Lkt+hyXhRKfCvLy8gAAjo6Oao6EEEIIIdWVl5cHU1NTmfdzGHmpUSMjFAqRkpICY2NjcDgcpV03NzcXjo6OSEpKgomJidKu2xDRe6U4eq+qh94vxdF7pTh6rxSnyveKYRjk5eXB3t4eXK7snTw041MBl8tF06ZNVXZ9ExMT+oehIHqvFEfvVfXQ+6U4eq8UR++V4lT1XlU10yNCm5sJIYQQ0mhQ4kMIIYSQRoMSnzqiq6uL5cuXQ1dXV92haDx6rxRH71X10PulOHqvFEfvleI04b2izc2EEEIIaTRoxocQQgghjQYlPoQQQghpNCjxIYQQQkijQYkPIYQQQhoNSnxUbM+ePWjXrh1brMnX1xfnzp1Td1j1woYNG8DhcDBr1ix1h6JxVqxYAQ6HI/Hl4eGh7rA0VnJyMr788ktYWlpCX18fbdu2RWRkpLrD0jguLi6Vfq44HA4CAwPVHZrGEQgE+P777+Hq6gp9fX00b94cq1evltsnqrHKy8vDrFmz4OzsDH19fXTr1g23b99WSyxUuVnFmjZtig0bNsDd3R0Mw+DQoUP4/PPPcffuXbRu3Vrd4Wms27dv45dffkG7du3UHYrGat26NS5evMje1tKif87SZGVloXv37vjggw9w7tw5WFlZIS4uDubm5uoOTePcvn0bAoGAvf3w4UN8+OGHGD58uBqj0kwbN27Enj17cOjQIbRu3RqRkZGYMGECTE1NMWPGDHWHp3EmT56Mhw8f4n//+x/s7e1x5MgR+Pn54fHjx3BwcKjTWOg4uxpYWFjghx9+wKRJk9QdikbKz8+Ht7c3du/ejTVr1sDLywvbtm1Td1gaZcWKFThz5gyio6PVHYrGW7hwIcLDw/Hff/+pO5R6Z9asWTh79izi4uKU2ruwIfjkk09gY2ODAwcOsGNDhw6Fvr4+jhw5osbINE9RURGMjY3x22+/YdCgQex4x44dMXDgQKxZs6ZO46GlrjokEAgQEhKCgoIC+Pr6qjscjRUYGIhBgwbBz89P3aFotLi4ONjb26NZs2YYPXo0EhMT1R2SRvr999/h4+OD4cOHw9raGh06dMC+ffvUHZbGKy0txZEjRzBx4kRKeqTo1q0bLl26hKdPnwIA7t27h2vXrmHgwIFqjkzz8Pl8CAQC6OnpSYzr6+vj2rVrdR4PzY3XgQcPHsDX1xfFxcUwMjLC6dOn0apVK3WHpZFCQkJw584dta391hddunRBcHAwWrZsidTUVKxcuRI9e/bEw4cPYWxsrO7wNMrz58+xZ88ezJkzB4sXL8bt27cxY8YM6OjoYNy4ceoOT2OdOXMG2dnZGD9+vLpD0UgLFy5Ebm4uPDw8wOPxIBAIsHbtWowePVrdoWkcY2Nj+Pr6YvXq1fD09ISNjQ2OHz+OGzduwM3Nre4DYojKlZSUMHFxcUxkZCSzcOFCpkmTJsyjR4/UHZbGSUxMZKytrZl79+6xY71792ZmzpypvqDqiaysLMbExITZv3+/ukPRONra2oyvr6/E2PTp05muXbuqKaL64aOPPmI++eQTdYehsY4fP840bdqUOX78OHP//n3m8OHDjIWFBRMcHKzu0DRSfHw806tXLwYAw+PxmE6dOjGjR49mPDw86jwWmvGpAzo6OmxW27FjR9y+fRvbt2/HL7/8oubINEtUVBQyMjLg7e3NjgkEAly9ehU7d+5ESUkJeDyeGiPUXGZmZmjRogXi4+PVHYrGsbOzqzTD6unpiV9//VVNEWm+ly9f4uLFizh16pS6Q9FY8+fPx8KFCxEQEAAAaNu2LV6+fIn169fTTKIUzZs3x5UrV1BQUIDc3FzY2dnB398fzZo1q/NYaI+PGgiFQpSUlKg7DI3Tr18/PHjwANHR0eyXj48PRo8ejejoaEp6qpCfn49nz57Bzs5O3aFonO7du+PJkycSY0+fPoWzs7OaItJ8QUFBsLa2ltiISiQVFhaCy5X8COXxeBAKhWqKqH4wNDSEnZ0dsrKycOHCBXz++ed1HgPN+KjYokWLMHDgQDg5OSEvLw/Hjh3D5cuXceHCBXWHpnGMjY3Rpk0biTFDQ0NYWlpWGm/s5s2bh08//RTOzs5ISUnB8uXLwePxMHLkSHWHpnFmz56Nbt26Yd26dRgxYgRu3bqFvXv3Yu/eveoOTSMJhUIEBQVh3LhxVCKhCp9++inWrl0LJycntG7dGnfv3sWWLVswceJEdYemkS5cuACGYdCyZUvEx8dj/vz58PDwwIQJE+o+mDpfXGtkJk6cyDg7OzM6OjqMlZUV069fP+avv/5Sd1j1Bu3xkc7f35+xs7NjdHR0GAcHB8bf35+Jj49Xd1ga6//+7/+YNm3aMLq6uoyHhwezd+9edYeksS5cuMAAYJ48eaLuUDRabm4uM3PmTMbJyYnR09NjmjVrxixZsoQpKSlRd2gaKTQ0lGnWrBmjo6PD2NraMoGBgUx2drZaYqE6PoQQQghpNGiPDyGEEEIaDUp8CCGEENJoUOJDCCGEkEaDEh9CCCGENBqU+BBCCCGk0aDEhxBCCCGNBiU+hBBCCGk0KPEhhBBCSKNBiQ8hpN548eIFOBwOoqOj1R0KKzY2Fl27doWenh68vLzUHY7SXb58GRwOBxwOB4MHD1b564ley8zMTOWvRRonSnwIUYIbN26Ax+NRU8dGaPny5TA0NMSTJ09w6dIldYejMk+ePEFwcDB7e/z48WySoq2tDVdXV3z33XcoLi6WeJ7oMTdv3pQYLykpgaWlJTgcDi5fvsyOp6amYtu2bSr8TkhjR4kPIUpw4MABTJ8+HVevXkVKSopKX4thGPD5fJW+RmNTWlpa4+c+e/YMPXr0gLOzMywtLVX+eupibW1daRZmwIABSE1NxfPnz7F161b88ssvWL58eaXnOjo6IigoSGLs9OnTMDIyqvRYW1tbmJqaKjV2QsRR4kNILeXn5yM0NBTffPMNBg0aJPFX8ahRo+Dv7y/x+LKyMjRp0gSHDx8GUN4Ne/369XB1dYW+vj7at2+PkydP/n979x7T1BXHAfwLFEqhRRy4aikBBwqotYqvARuIVtBtRAgyh85VRd2mjjEB45BFhfnMfCSsi8vGVBbGTAhMhzzNQCc6QV46aEHqO2JAV6OVsbXw2x+GO690TmCPbJxP0qTn3HPP757bhv56z7mUa9871VBUVIQpU6ZAKBTi1KlT0Ov1mD9/PqRSKcRiMaZNm4bjx4/zYrW1teHll1+GSCTC6NGj8dVXX8HT05P3jfru3btYsWIFRowYAScnJ8yaNQsNDQ1/ON7e6aa8vDyEhobCwcEBSqUSZ86c4dps3ry5z7TPvn374OnpyZWXLl2KyMhIbNu2DVKpFM7OzkhLS4PZbEZycjKeeeYZyOXyPh+YwMPppcDAQNjb22PChAk4ceIEb/uPP/6IefPmQSwWQyqVYsmSJbh9+za3febMmVi7di0SEhLg6uqK8PBwi2Pt6elBWloa5HI5hEIhJk2ahOLiYm67lZUVampqkJaWBisrK2zevNliP38U78SJE5g+fTqEQiFGjRqFDRs28JLaX375BfHx8Xj22Wdhb2+PF154AdXV1dz23vdGSUkJJk+eDJFIhFmzZqG9vR1FRUXw8/ODk5MTFi1ahM7OTm6/3NxcKBQKiEQiuLi4QKVS4cGDBxaP/UmEQiFGjhwJd3d3REZGQqVSoaysrE87tVqNr7/+Gj///DNX98UXX0CtVvc7JsMM2r/y06gM8z+SmZlJU6dOJaKHvwLu5eVFPT09RERUUFBAIpGI7t+/z7X/9ttvSSQS0b1794iI6MMPPyRfX18qLi4mvV5PBw4cIKFQSBUVFUREVF5eTgBo4sSJVFpaSq2trXTnzh2qr6+n/fv304ULF6ilpYVSU1PJ3t6erl69ysVSqVQ0adIk+uGHH6impoZCQkJIJBLR3r17eW0iIiKourqaWlpaKDExkVxcXOjOnTsWx3v58mUCQL6+vlRQUEDNzc20YMEC8vDwIJPJREREmzZtIqVSydtv79695OHhwZXVajVJJBJas2YN6XQ6yszMJAAUHh5OW7dupZaWFkpPTydbW1u6fv06L7ZcLqfc3FxqamqiFStWkEQiodu3bxMRkcFgoBEjRtD7779PWq2Wamtrac6cORQaGsrFDgkJIbFYTMnJyaTT6Uin01kc6549e8jJyYlycnJIp9PR+vXrydbWllpaWoiIqK2tjcaPH0+JiYnU1tbGe50fZSnejRs3yMHBgVavXk1arZby8/PJ1dWVNm3axO0XHx9PMpmMCgsLqbGxkdRqNQ0fPpx7bXrfG88//zydOnWKamtrydvbm0JCQigsLIxqa2vp5MmT5OLiQjt27CAiops3b5JAIKA9e/bQ5cuX6fz586TRaP7w2HtjGAwGXr1arab58+dz5QsXLtDIkSNpxowZvHYAKD8/nyZOnEhffvklERFdvXqVhEIhtbS0EAAqLy/n7XPgwAEaNmyYxeNhmMFiiQ/DDFJgYCDt27ePiIhMJhO5urpyf8h7y1lZWVz72NhYWrhwIRERdXV1kYODA50+fZrXZ1xcHMXGxhLR7x8833zzzZ8ey/jx4ykjI4OIiLRaLQGg6upqbvvFixcJAJf4fP/99+Tk5ERdXV28fry8vOjTTz+1GKM3+fj888+5usbGRgJAWq2WiJ4+8fHw8KDu7m6uzsfHh1588UWubDabydHRkXJycnixez/EiR6eY7lcTjt37iQiovT0dAoLC+PFvn79OgGg5uZmInqYiEyePNni+B4lk8lo69atvLpp06bR6tWrubJSqeQlK5ZYipeSkkI+Pj5ckkxEpNFoSCwWU3d3NxmNRrK1taXs7Gxu+6+//koymYx27dpFRL+/N44fP8612b59OwEgvV7P1b355psUHh5OREQ1NTUEgK5cufKn4380hqXEx8bGhhwdHUkoFBIAsra2ptzcXF673sRn3759XPK5ZcsWioqKIoPBwBIf5h/HproYZhCam5tRVVWF2NhYAIBAIMDChQuRmZnJlV999VVkZ2cDAB48eIAjR45g8eLFAIDW1lZ0dnZizpw5EIvF3CMrKwt6vZ4Xa+rUqbyy0WhEUlIS/Pz84OzsDLFYDK1Wi2vXrnHHJhAI4O/vz+3j7e2N4cOHc+WGhgYYjUa4uLjw4l++fLlP/MdNnDiRez5q1CgAQHt7+9OfPADjx4+HtfXvf4akUikUCgVXtrGxgYuLS59+AwICuOcCgQBTp06FVqvlxlReXs4bj6+vLwDwxjRlypQnHtu9e/dw8+ZNBAUF8eqDgoK4WP3xeDytVouAgABYWVnx+jYajbhx4wb0ej1MJhMvvq2tLaZPn94n/qOvhVQqhYODA5577jleXe85VCqVmD17NhQKBWJiYvDZZ5/BYDD0ezwAEBoaivr6epw9exZqtRrLli1DdHS0xbavv/46zpw5g0uXLuHgwYNYvnz5gGIyzGAJ/u0DYJj/sszMTJjNZshkMq6OiCAUCvHxxx9j2LBhWLx4MUJCQtDe3o6ysjKIRCLMnTsXwMPkBQCOHTsGNzc3Xt9CoZBXdnR05JWTkpJQVlaGjz76CN7e3hCJRFiwYEG/Fs4ajUaMGjWKd1dNrz+7ndjW1pZ73vvh3dPTAwCwtrYGEfHam0ymJ/bR24+lut5+n4bRaERERAR27tzZZ1tvggb0PZ9/t78z3uOvxZPOoY2NDcrKynD69GmUlpYiIyMDGzduxNmzZzF69Oh+xXV0dIS3tzeAh2t2lEolMjMzERcX16eti4sLXnnlFcTFxaGrqwvz5s3D/fv3+ztUhhk0dsWHYQbIbDYjKysLu3fvRn19PfdoaGiATCZDTk4OACAwMBDu7u44fPgwsrOzERMTw30wjRs3DkKhENeuXYO3tzfv4e7u/sT4lZWVWLp0KaKioqBQKDBy5EhcuXKF2+7j4wOz2Yy6ujqurrW1lfft3t/fH7du3YJAIOgT39XVdcDnZsSIEbh16xYv+fkr//fOo7dGm81m1NTUwM/PD8DDMTU2NsLT07PPmPqTfDg5OUEmk6GyspJXX1lZiXHjxg16DH5+fjhz5gzvHFVWVkIikUAul8PLywt2dna8+CaTCdXV1YOOb2VlhaCgIGzZsgV1dXWws7NDfn7+oPq0trZGSkoKUlNTeYuYH7V8+XJUVFTgjTfegI2NzaDiMcxAscSHYQaooKAABoMBcXFxmDBhAu8RHR3NTXcBD+/u2r9/P8rKyrhpLgCQSCRISkrCe++9h0OHDkGv16O2thYZGRk4dOjQE+OPGTMGeXl5XLK1aNEi3pURX19fqFQqrFq1ClVVVairq8OqVasgEom4KzQqlQoBAQGIjIxEaWkprly5gtOnT2Pjxo04d+7cgM/NzJkz0dHRgV27dkGv10Oj0aCoqGjA/T1Oo9EgPz8fOp0Oa9asgcFg4KZO1qxZg59++gmxsbGorq6GXq9HSUkJli1bhu7u7n7FSU5Oxs6dO3H48GE0Nzdjw4YNqK+vx7vvvjvoMaxevRrXr1/HO++8A51OhyNHjmDTpk1Yt24drK2t4ejoiLfffhvJyckoLi5GU1MTVq5cic7OTotXVJ7W2bNnsW3bNpw7dw7Xrl1DXl4eOjo6uMRxMGJiYmBjYwONRmNx+9y5c9HR0YG0tLRBx2KYgWKJD8MMUGZmJlQqlcX/ORIdHY1z587h/PnzAIDFixejqakJbm5ufdaMpKen44MPPsD27dvh5+eHuXPn4tixY3867bBnzx4MHz4cgYGBiIiIQHh4OG89DwBkZWVBKpUiODgYUVFRWLlyJSQSCezt7QE8/OZfWFiI4OBgLFu2DGPHjsVrr72Gq1evQiqVDvjc+Pn54ZNPPoFGo4FSqURVVRWSkpIG3N/jduzYgR07dkCpVOLUqVM4evQod4Wq9ypNd3c3wsLCoFAokJCQAGdnZ956oqcRHx+PdevWITExEQqFAsXFxTh69CjGjBkz6DG4ubmhsLAQVVVVUCqVeOuttxAXF4fU1FTeOKOjo7FkyRL4+/ujtbUVJSUlvHVa/eXk5ISTJ0/ipZdewtixY5Gamordu3dj3rx5gx6TQCDA2rVrsWvXLou3x1tZWcHV1RV2dnaDjsUwA2VFj0/EMwzzv3Xjxg24u7vj+PHjmD179r99OMx/QEVFBUJDQ2EwGP6xn5E4ePAgEhIScPfu3X8kHjO0sMXNDPM/9t1338FoNEKhUKCtrQ3r16+Hp6cngoOD/+1DY/5j5HI5IiIiuLVrfxexWAyz2cxdlWSYvxpLfBjmf8xkMiElJQWXLl2CRCJBYGAgsrOz+9z1wzB/ZMaMGbh48SIAWPyJib9a7yJ4tviZ+buwqS6GYRiGYYYMtriZYRiGYZghgyU+DMMwDMMMGSzxYRiGYRhmyGCJD8MwDMMwQwZLfBiGYRiGGTJY4sMwDMMwzJDBEh+GYRiGYYYMlvgwDMMwDDNk/AaQDQHoHEy9gAAAAABJRU5ErkJggg==\n"
},
"metadata": {}
}
],
"source": [
"from sklearn.linear_model import RANSACRegressor\n",
"\n",
"ransac = RANSACRegressor(LinearRegression(),\n",
" max_trials=100,\n",
" min_samples=50,\n",
" loss='absolute_error',\n",
" residual_threshold=5.0,\n",
" random_state=0)\n",
"\n",
"\n",
"ransac.fit(X, y)\n",
"\n",
"inlier_mask = ransac.inlier_mask_\n",
"outlier_mask = np.logical_not(inlier_mask)\n",
"\n",
"line_X = np.arange(3, 10, 1)\n",
"line_y_ransac = ransac.predict(line_X[:, np.newaxis])\n",
"plt.scatter(X[inlier_mask], y[inlier_mask],\n",
" c='steelblue', edgecolor='white',\n",
" marker='o', label='Inliers')\n",
"plt.scatter(X[outlier_mask], y[outlier_mask],\n",
" c='limegreen', edgecolor='white',\n",
" marker='s', label='Outliers')\n",
"plt.plot(line_X, line_y_ransac, color='black', lw=2)\n",
"plt.xlabel('Average number of rooms [RM]')\n",
"plt.ylabel('Price in $1000s [MEDV]')\n",
"plt.legend(loc='upper left')\n",
"\n",
"# plt.savefig('images/10_08.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "fjxZQfHs1tKb",
"outputId": "092c143b-48f0-4466-9f3f-3c1221765597"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"기울기: 10.735\n",
"절편: -44.089\n"
]
}
],
"source": [
"print('기울기: %.3f' % ransac.estimator_.coef_[0])\n",
"print('절편: %.3f' % ransac.estimator_.intercept_)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mQUHsotB1tKc"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zczk-FVd1tKc"
},
"source": [
"# 선형 회귀 모델의 성능 평가"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"id": "0nmvnp_u1tKc"
},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"X = df.iloc[:, :-1].values\n",
"y = df['MEDV'].values\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.3, random_state=0)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"id": "MekaJdBn1tKc"
},
"outputs": [],
"source": [
"slr = LinearRegression()\n",
"\n",
"slr.fit(X_train, y_train)\n",
"y_train_pred = slr.predict(X_train)\n",
"y_test_pred = slr.predict(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 487
},
"id": "7wpTQegl1tKd",
"outputId": "512a45b4-83e8-4878-9bca-29e874b38476"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
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\n"
},
"metadata": {}
}
],
"source": [
"plt.scatter(y_train_pred, y_train_pred - y_train,\n",
" c='steelblue', marker='o', edgecolor='white',\n",
" label='Training data')\n",
"plt.scatter(y_test_pred, y_test_pred - y_test,\n",
" c='limegreen', marker='s', edgecolor='white',\n",
" label='Test data')\n",
"plt.xlabel('Predicted values')\n",
"plt.ylabel('Residuals')\n",
"plt.legend(loc='upper left')\n",
"plt.hlines(y=0, xmin=-10, xmax=50, color='black', lw=2)\n",
"plt.xlim([-10, 50])\n",
"plt.tight_layout()\n",
"\n",
"# plt.savefig('images/10_09.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "EqTuey4S1tKd",
"outputId": "1f73e6a4-db26-4f0e-807d-f7724d2d5b40"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"훈련 MSE: 19.958, 테스트 MSE: 27.196\n",
"훈련 R^2: 0.765, 테스트 R^2: 0.673\n"
]
}
],
"source": [
"from sklearn.metrics import r2_score\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"print('훈련 MSE: %.3f, 테스트 MSE: %.3f' % (\n",
" mean_squared_error(y_train, y_train_pred),\n",
" mean_squared_error(y_test, y_test_pred)))\n",
"print('훈련 R^2: %.3f, 테스트 R^2: %.3f' % (\n",
" r2_score(y_train, y_train_pred),\n",
" r2_score(y_test, y_test_pred)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dCw4WdRb1tKd"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "8J6Kd36k1tKd"
},
"source": [
"# 회귀에 규제 적용"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "w1SSPnWL1tKd",
"outputId": "e47c7cbc-b41d-432f-8880-7572b65c00ed"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"[-0.11311792 0.04725111 -0.03992527 0.96478874 -0. 3.72289616\n",
" -0.02143106 -1.23370405 0.20469 -0.0129439 -0.85269025 0.00795847\n",
" -0.52392362]\n"
]
}
],
"source": [
"from sklearn.linear_model import Lasso\n",
"\n",
"lasso = Lasso(alpha=0.1)\n",
"lasso.fit(X_train, y_train)\n",
"y_train_pred = lasso.predict(X_train)\n",
"y_test_pred = lasso.predict(X_test)\n",
"print(lasso.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "QZp-_eU21tKe",
"outputId": "7998ba28-bb2b-4399-ebcd-18ca17612da5"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"훈련 MSE: 20.926, 테스트 MSE: 28.876\n",
"훈련 R^2: 0.753, 테스트 R^2: 0.653\n"
]
}
],
"source": [
"print('훈련 MSE: %.3f, 테스트 MSE: %.3f' % (\n",
" mean_squared_error(y_train, y_train_pred),\n",
" mean_squared_error(y_test, y_test_pred)))\n",
"print('훈련 R^2: %.3f, 테스트 R^2: %.3f' % (\n",
" r2_score(y_train, y_train_pred),\n",
" r2_score(y_test, y_test_pred)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "fikqRCY81tKe"
},
"source": [
"릿지 회귀:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"id": "ew6heqE21tKe"
},
"outputs": [],
"source": [
"from sklearn.linear_model import Ridge\n",
"ridge = Ridge(alpha=1.0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Y5xvAvrK1tKe"
},
"source": [
"리쏘 회귀:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"id": "MBR-nstW1tKe"
},
"outputs": [],
"source": [
"from sklearn.linear_model import Lasso\n",
"lasso = Lasso(alpha=1.0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "uqToICeL1tKe"
},
"source": [
"엘라스틱 넷 회귀:"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"id": "kyBAHsWG1tKe"
},
"outputs": [],
"source": [
"from sklearn.linear_model import ElasticNet\n",
"elanet = ElasticNet(alpha=1.0, l1_ratio=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "rOZz8Yd41tKe"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Z2cZdByC1tKf"
},
"source": [
"# 선형 회귀 모델을 다항 회귀로 변환"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"id": "LtXEZBf21tKf"
},
"outputs": [],
"source": [
"X = np.array([258.0, 270.0, 294.0,\n",
" 320.0, 342.0, 368.0,\n",
" 396.0, 446.0, 480.0, 586.0])\\\n",
" [:, np.newaxis]\n",
"\n",
"y = np.array([236.4, 234.4, 252.8,\n",
" 298.6, 314.2, 342.2,\n",
" 360.8, 368.0, 391.2,\n",
" 390.8])"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"id": "t5mGSEG71tKf"
},
"outputs": [],
"source": [
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"lr = LinearRegression()\n",
"pr = LinearRegression()\n",
"quadratic = PolynomialFeatures(degree=2)\n",
"X_quad = quadratic.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 487
},
"id": "QSt-O4KT1tKf",
"outputId": "f61a0766-9801-4008-fa34-1a0c28f4274a"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"# 선형 특성 학습\n",
"lr.fit(X, y)\n",
"X_fit = np.arange(250, 600, 10)[:, np.newaxis]\n",
"y_lin_fit = lr.predict(X_fit)\n",
"\n",
"# 이차항 특성 학습\n",
"pr.fit(X_quad, y)\n",
"y_quad_fit = pr.predict(quadratic.fit_transform(X_fit))\n",
"\n",
"# 결과 그래프\n",
"plt.scatter(X, y, label='Training points')\n",
"plt.plot(X_fit, y_lin_fit, label='Linear fit', linestyle='--')\n",
"plt.plot(X_fit, y_quad_fit, label='Quadratic fit')\n",
"plt.xlabel('Explanatory variable')\n",
"plt.ylabel('Predicted or known target values')\n",
"plt.legend(loc='upper left')\n",
"\n",
"plt.tight_layout()\n",
"# plt.savefig('images/10_11.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"id": "YPnT4mdf1tKf"
},
"outputs": [],
"source": [
"y_lin_pred = lr.predict(X)\n",
"y_quad_pred = pr.predict(X_quad)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "HsyWxWLH1tKf",
"outputId": "61566da0-609c-415b-f7bf-f177644ea30f"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"훈련 MSE 비교 - 선형 모델: 569.780, 다항 모델: 61.330\n",
"훈련 R^2 비교 - 선형 모델: 0.832, 다항 모델: 0.982\n"
]
}
],
"source": [
"print('훈련 MSE 비교 - 선형 모델: %.3f, 다항 모델: %.3f' % (\n",
" mean_squared_error(y, y_lin_pred),\n",
" mean_squared_error(y, y_quad_pred)))\n",
"print('훈련 R^2 비교 - 선형 모델: %.3f, 다항 모델: %.3f' % (\n",
" r2_score(y, y_lin_pred),\n",
" r2_score(y, y_quad_pred)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7plvfsdG1tKf"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "AkCATH891tKf"
},
"source": [
"## 주택 데이터셋을 사용한 비선형 관계 모델링"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"id": "z4zOwQ1j1tKf",
"outputId": "888f9c73-ba07-4a40-934f-4be45a0b38be"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"X = df[['LSTAT']].values\n",
"y = df['MEDV'].values\n",
"\n",
"regr = LinearRegression()\n",
"\n",
"# 이차, 삼차 다항식 특성을 만듭니다\n",
"quadratic = PolynomialFeatures(degree=2)\n",
"cubic = PolynomialFeatures(degree=3)\n",
"X_quad = quadratic.fit_transform(X)\n",
"X_cubic = cubic.fit_transform(X)\n",
"\n",
"# 학습된 모델을 그리기 위해 특성 범위를 만듭니다\n",
"X_fit = np.arange(X.min(), X.max(), 1)[:, np.newaxis]\n",
"\n",
"regr = regr.fit(X, y)\n",
"y_lin_fit = regr.predict(X_fit)\n",
"linear_r2 = r2_score(y, regr.predict(X))\n",
"\n",
"regr = regr.fit(X_quad, y)\n",
"y_quad_fit = regr.predict(quadratic.fit_transform(X_fit))\n",
"quadratic_r2 = r2_score(y, regr.predict(X_quad))\n",
"\n",
"regr = regr.fit(X_cubic, y)\n",
"y_cubic_fit = regr.predict(cubic.fit_transform(X_fit))\n",
"cubic_r2 = r2_score(y, regr.predict(X_cubic))\n",
"\n",
"\n",
"# 결과 그래프를 그립니다\n",
"plt.scatter(X, y, label='Training points', color='lightgray')\n",
"\n",
"plt.plot(X_fit, y_lin_fit,\n",
" label='Linear (d=1), $R^2=%.2f$' % linear_r2,\n",
" color='blue',\n",
" lw=2,\n",
" linestyle=':')\n",
"\n",
"plt.plot(X_fit, y_quad_fit,\n",
" label='Quadratic (d=2), $R^2=%.2f$' % quadratic_r2,\n",
" color='red',\n",
" lw=2,\n",
" linestyle='-')\n",
"\n",
"plt.plot(X_fit, y_cubic_fit,\n",
" label='Cubic (d=3), $R^2=%.2f$' % cubic_r2,\n",
" color='green',\n",
" lw=2,\n",
" linestyle='--')\n",
"\n",
"plt.xlabel('% lower status of the population [LSTAT]')\n",
"plt.ylabel('Price in $1000s [MEDV]')\n",
"plt.legend(loc='upper right')\n",
"\n",
"# plt.savefig('images/10_12.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PRwQfowt1tKg"
},
"source": [
"데이터셋을 변환합니다:"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 563
},
"id": "hXeWrR-M1tKg",
"outputId": "1209abd9-fb71-4c5e-df50-9e871784d863"
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<>:24: SyntaxWarning: invalid escape sequence '\\s'\n",
"<>:24: SyntaxWarning: invalid escape sequence '\\s'\n",
"/tmp/ipython-input-2493829154.py:24: SyntaxWarning: invalid escape sequence '\\s'\n",
" plt.ylabel('$\\sqrt{Price \\; in \\; \\$1000s \\; [MEDV]}$')\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"X = df[['LSTAT']].values\n",
"y = df['MEDV'].values\n",
"\n",
"# 특성을 변환합니다\n",
"X_log = np.log(X)\n",
"y_sqrt = np.sqrt(y)\n",
"\n",
"# 학습된 모델을 그리기 위해 특성 범위를 만듭니다\n",
"X_fit = np.arange(X_log.min()-1, X_log.max()+1, 1)[:, np.newaxis]\n",
"\n",
"regr = regr.fit(X_log, y_sqrt)\n",
"y_lin_fit = regr.predict(X_fit)\n",
"linear_r2 = r2_score(y_sqrt, regr.predict(X_log))\n",
"\n",
"# 결과 그래프를 그립니다\n",
"plt.scatter(X_log, y_sqrt, label='Training points', color='lightgray')\n",
"\n",
"plt.plot(X_fit, y_lin_fit,\n",
" label='Linear (d=1), $R^2=%.2f$' % linear_r2,\n",
" color='blue',\n",
" lw=2)\n",
"\n",
"plt.xlabel('log(% lower status of the population [LSTAT])')\n",
"plt.ylabel('$\\sqrt{Price \\; in \\; \\$1000s \\; [MEDV]}$')\n",
"plt.legend(loc='lower left')\n",
"\n",
"plt.tight_layout()\n",
"# plt.savefig('images/10_13.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mhIkMvBY1tKg"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "iaYaIA7-1tKg"
},
"source": [
"# 랜덤 포레스트를 사용하여 비선형 관계 다루기"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "sp9ssnEr1tKg"
},
"source": [
"..."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "1MdJqwN71tKg"
},
"source": [
"## 결정 트리 회귀"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"id": "S72KA4d31tKg",
"outputId": "f2cf99dd-de46-4ec7-a085-ef89bae9da1c"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"from sklearn.tree import DecisionTreeRegressor\n",
"\n",
"X = df[['LSTAT']].values\n",
"y = df['MEDV'].values\n",
"\n",
"tree = DecisionTreeRegressor(max_depth=3)\n",
"tree.fit(X, y)\n",
"\n",
"sort_idx = X.flatten().argsort()\n",
"\n",
"lin_regplot(X[sort_idx], y[sort_idx], tree)\n",
"plt.xlabel('% lower status of the population [LSTAT]')\n",
"plt.ylabel('Price in $1000s [MEDV]')\n",
"# plt.savefig('images/10_14.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "5FSvZlQH1tKg"
},
"source": [
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mWsdot0G1tKh"
},
"source": [
"## 랜덤 포레스트 회귀"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"id": "nmARyEy61tKh"
},
"outputs": [],
"source": [
"X = df.iloc[:, :-1].values\n",
"y = df['MEDV'].values\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.4, random_state=1)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "tZim6NkC1tKh",
"outputId": "24d84432-5d0d-4bc9-8716-6e1e11b7fad3"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"훈련 MSE: 1.644, 테스트 MSE: 11.085\n",
"훈련 R^2: 0.979, 테스트 R^2: 0.877\n"
]
}
],
"source": [
"from sklearn.ensemble import RandomForestRegressor\n",
"\n",
"forest = RandomForestRegressor(n_estimators=1000,\n",
" criterion='squared_error',\n",
" random_state=1,\n",
" n_jobs=-1)\n",
"forest.fit(X_train, y_train)\n",
"y_train_pred = forest.predict(X_train)\n",
"y_test_pred = forest.predict(X_test)\n",
"\n",
"print('훈련 MSE: %.3f, 테스트 MSE: %.3f' % (\n",
" mean_squared_error(y_train, y_train_pred),\n",
" mean_squared_error(y_test, y_test_pred)))\n",
"print('훈련 R^2: %.3f, 테스트 R^2: %.3f' % (\n",
" r2_score(y_train, y_train_pred),\n",
" r2_score(y_test, y_test_pred)))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 487
},
"id": "rtpih2CW1tKh",
"outputId": "1c22f1c0-dafa-4976-ffbc-89c77670bd7a"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"plt.scatter(y_train_pred,\n",
" y_train_pred - y_train,\n",
" c='steelblue',\n",
" edgecolor='white',\n",
" marker='o',\n",
" s=35,\n",
" alpha=0.9,\n",
" label='Training data')\n",
"plt.scatter(y_test_pred,\n",
" y_test_pred - y_test,\n",
" c='limegreen',\n",
" edgecolor='white',\n",
" marker='s',\n",
" s=35,\n",
" alpha=0.9,\n",
" label='Test data')\n",
"\n",
"plt.xlabel('Predicted values')\n",
"plt.ylabel('Residuals')\n",
"plt.legend(loc='upper left')\n",
"plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='black')\n",
"plt.xlim([-10, 50])\n",
"plt.tight_layout()\n",
"\n",
"# plt.savefig('images/10_15.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UZqQvoUW1tKh"
},
"source": [
" \n",
" "
]
}
],
"metadata": {
"colab": {
"name": "ch10.ipynb",
"provenance": []
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}