{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "cXOvPmTt1tKM" }, "source": [ "# 머신 러닝 교과서 3판" ] }, { "cell_type": "markdown", "metadata": { "id": "4B2LOyUc1tKQ" }, "source": [ "# 10장 - 회귀 분석으로 연속적 타깃 변수 예측" ] }, { "cell_type": "markdown", "metadata": { "id": "BoN7rJLF1tKQ" }, "source": [ "**아래 링크를 통해 이 노트북을 주피터 노트북 뷰어(nbviewer.jupyter.org)로 보거나 구글 코랩(colab.research.google.com)에서 실행할 수 있습니다.**\n", "\n", "\n", " \n", " \n", "
\n", " 주피터 노트북 뷰어로 보기\n", " \n", " 구글 코랩(Colab)에서 실행하기\n", "
" ] }, { "cell_type": "markdown", "metadata": { "id": "NwTgwY5W1tKR" }, "source": [ "### 목차" ] }, { "cell_type": "markdown", "metadata": { "id": "j3gQXl1z1tKR" }, "source": [ "- 선형 회귀\n", " - 단순 선형 회귀\n", " - 다중 선형 회귀\n", "- 주택 데이터셋 탐색\n", " - 데이터프레임으로 주택 데이터셋 읽기\n", " - 데이터셋의 중요 특징 시각화\n", "- 최소 제곱 선형 회귀 모델 구현\n", " - 경사 하강법으로 회귀 모델의 파라미터 구하기\n", " - 사이킷런으로 회귀 모델의 가중치 추정\n", "- RANSAC을 사용하여 안정된 회귀 모델 훈련\n", "- 선형 회귀 모델의 성능 평가\n", "- 회귀에 규제 적용\n", "- 선형 회귀 모델을 다항 회귀로 변환\n", " - 주택 데이터셋을 사용한 비선형 관계 모델링\n", "- 랜덤 포레스트를 사용하여 비선형 관계 다루기\n", " - 결정 트리 회귀\n", " - 랜덤 포레스트 회귀\n", "- 요약" ] }, { "cell_type": "markdown", "metadata": { "id": "2jXnD_sv1tKR" }, "source": [ "
\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "wpiupY6F1tKS" }, "outputs": [], "source": [ "from IPython.display import Image" ] }, { "cell_type": "markdown", "metadata": { "id": "hVUPbJXi1tKS" }, "source": [ "# 선형 회귀" ] }, { "cell_type": "markdown", "metadata": { "id": "8QDKCNbT1tKS" }, "source": [ "## 단순 선형 회귀" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 424 }, "id": "spmo8wAa1tKS", "outputId": "92f00a23-6a80-417f-c0b6-665db0207fb6" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 2 } ], "source": [ "Image(url='https://git.io/Jts3N', width=500)" ] }, { "cell_type": "markdown", "metadata": { "id": "PHwGUJtJ1tKT" }, "source": [ "## 다중 선형 회귀" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 355 }, "id": "-dDiPQpS1tKT", "outputId": "d12af841-ffe2-4820-acf5-23577aaf1d04" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "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": 206 }, "id": "aQR7x5yN1tKU", "outputId": "211e4a73-3fe5-4399-8c27-188fbcd18ad7" }, "outputs": [ { "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 " ], "text/html": [ "\n", "
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CRIMZNINDUSCHASNOXRMAGEDISRADTAXPTRATIOBLSTATMEDV
00.0063218.02.3100.5386.57565.24.09001296.015.3396.904.9824.0
10.027310.07.0700.4696.42178.94.96712242.017.8396.909.1421.6
20.027290.07.0700.4697.18561.14.96712242.017.8392.834.0334.7
30.032370.02.1800.4586.99845.86.06223222.018.7394.632.9433.4
40.069050.02.1800.4587.14754.26.06223222.018.7396.905.3336.2
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\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": "01667d88-e447-4ccc-b1e8-768a475b3ce0" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Requirement already satisfied: mlxtend in /usr/local/lib/python3.10/dist-packages (0.22.0)\n", "Collecting mlxtend\n", " Downloading mlxtend-0.23.0-py3-none-any.whl (1.4 MB)\n", "\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m1.4/1.4 MB\u001b[0m \u001b[31m15.3 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n", "\u001b[?25hRequirement already satisfied: scipy>=1.2.1 in /usr/local/lib/python3.10/dist-packages (from mlxtend) (1.11.3)\n", "Requirement already satisfied: numpy>=1.16.2 in /usr/local/lib/python3.10/dist-packages (from mlxtend) (1.23.5)\n", "Requirement already satisfied: pandas>=0.24.2 in /usr/local/lib/python3.10/dist-packages (from mlxtend) (1.5.3)\n", "Requirement already satisfied: scikit-learn>=1.0.2 in /usr/local/lib/python3.10/dist-packages (from mlxtend) (1.2.2)\n", "Requirement already satisfied: matplotlib>=3.0.0 in /usr/local/lib/python3.10/dist-packages (from mlxtend) (3.7.1)\n", "Requirement already satisfied: joblib>=0.13.2 in /usr/local/lib/python3.10/dist-packages (from mlxtend) (1.3.2)\n", "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (1.2.0)\n", "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (0.12.1)\n", "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (4.44.0)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (1.4.5)\n", "Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (23.2)\n", "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (9.4.0)\n", "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (3.1.1)\n", "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.0.0->mlxtend) (2.8.2)\n", "Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.10/dist-packages (from pandas>=0.24.2->mlxtend) (2023.3.post1)\n", "Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from scikit-learn>=1.0.2->mlxtend) (3.2.0)\n", "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib>=3.0.0->mlxtend) (1.16.0)\n", "Installing collected packages: mlxtend\n", " Attempting uninstall: mlxtend\n", " Found existing installation: mlxtend 0.22.0\n", " Uninstalling mlxtend-0.22.0:\n", " Successfully uninstalled mlxtend-0.22.0\n", "Successfully installed mlxtend-0.23.0\n" ] } ], "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": "64f94759-8da0-4273-ef12-d62eb3e064c3" }, "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": "32bf5112-1ccc-4c67-b26e-9e20cc725e85" }, "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": "6e1bb704-f700-43b3-f72e-62b6f53fa17a" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "<__main__.LinearRegressionGD at 0x7d61d6811900>" ] }, "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": "77a8107b-13ea-4257-a723-ea0c1874987d" }, "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": "d524a2f1-702c-4f9a-8205-9e573ed4e500" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\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": "f23ad224-113b-448f-ff70-71e7fa8df0de" }, "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": "057963b2-d552-42c2-ed39-f69d8a918dde" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "$1,000 단위 가격: 10.840\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": "36eeff00-a2ba-4020-b159-2190d1347254" }, "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": "0fbafe96-f66f-4cab-cec1-9aaceed9004b" }, "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": "b2e5bd04-3f13-4597-8c53-c64fa13206d9" }, "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": "7de74475-d657-45ed-9c9a-ccb94caec48a", "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": "58dcdffb-7803-486c-ab8e-945697ba95c9" }, "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": "fb54e8f0-eb9b-48ce-a74e-59ee7aed2ab0" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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5czZWQghpSKqzdCXv1FdViUthYSFmzJiBAwcOsGOenp4ICwtDmzZtav+N1BOU+DQi6jrA9+DBAwgEArRo0UJivKSkRGJTtY6ODtq1a8fetrCwwPjx49G/f398+OGH8PPzw4gRI2BnZ1dnsRNCiKrJK1hYEYfDgU9zK4nZIL5AWGXS8/jxY4wYMQKPHj1ix8aPH4+dO3fC0NCw5sHXQ5T4NAJubm7gcDiIiYnBkCFDKt0fExMDc3NzWFlZgcPhVEqQysrKavX6+fn54PF4iIqKAo8nWfzKyMiI/f/6+vqV/uEGBQVhxowZOH/+PEJDQ7F06VL8/fff1HiWEKISdV3DqKZLVxXHqlreCg4ORmBgIAoLCwEABgYG2LNnD8aOHauMb6HeocSnEbC0tMSHH36I3bt3Y/bs2RL7fNLS0nD06FGMHTsWHA4HVlZWSE1NZe+Pi4tj/7EAYPf0CAQChV+/Q4cOEAgEyMjIQM+ePasdf4cOHdChQwcsWrQIvr6+OHbsGCU+hBCVUNVeS1lqs3QlT35+PgIDA3H48GF2rE2bNggLC2vU2wYo8Wkkdu7ciW7duqF///5Ys2aNxHF2BwcHrF27FgDQt29f7Ny5E76+vhAIBFiwYIFEPR5ra2vo6+vj/PnzaNq0KfT09GBqalrla7do0QKjR4/G2LFjsXnzZnTo0AGvX7/GpUuX0K5dOwwaNEjq8xISErB371589tlnsLe3x5MnTxAXF9do/0ohhDRMNVm6kufBgwcYMWIEYmPf7ymdMmUKtm/fXqv+lg0BJT51TF2l4N3d3REZGYnly5djxIgRyMzMhK2tLQYPHozly5ezdXc2b96MCRMmoGfPnrC3t8f27dslKnlqaWlhx44dWLVqFZYtW4aePXtKHEuXJSgoCGvWrMHcuXORnJyMJk2aoGvXrvjkk09kPsfAwACxsbE4dOgQ3r59Czs7OwQGBmLq1Km1fj8IIQ2fOk7R1lR1lq6qwjAM9u/fjxkzZqC4uBhA+ZaCvXv3YuTIkbWOsyGoNy0r6gq1rKi/6L8RIUTc6JjRUk/Reuh74KjnUTVEpFp5eXmYOnUqjh8/zo55eXkhNDS00uGShqjBtawghBBCqsNFz0XidoGwAEklSeoJRsXu3r2LESNGID4+nh2bNm0aNm/eTH8IVkCJDyGEkAZprevaSmODHw2u+0BUiGEY7NmzB3PmzEFJSQkAwMTEBPv378fw4cPVHJ1mosSHEEJIgyFvX48ht+HUrMnJycHkyZNx8uRJdqxjx44IDQ1li76SyijxIYQQ0mCoozq+OkRGRsLf3x/Pnz9nx2bOnImNGzdCV1dXjZFpPkp8qon2gmsu+m9DCJHHRc8FHFQ+Jl6xUKAiPa/UgWEY7NixA/Pnz2eLy5qZmSEoKAiDBw9Wb3D1BCU+ChLVsiksLGz0NRA0lajQonjdIUIIESdt3w/DMIh89hrHr8XjRUYeXKyNMVIJBQSVLSsrCxMnTsSZM2fYsS5duiAkJAQuLi5qi6u+ocRHQTweD2ZmZsjIyABQXmNGk/5BNGYMw6CwsBAZGRkwMzOr1BaDEEJk4QuEiHz2WqJlRGxyNlaERmKFvw98mltpxMzPzZs3ERAQgJcvX7Jj8+bNw7p16+iPvWqixKcaRN3IRckP0SxmZmYKd4wnhBCgvFDg8WvxqLhQzgAIuRYvUU25LlRcYist42PH9m1YtGgR+Hw+gPIGzocPH5ZZ9Z5UjRKfauBwOLCzs4O1tXWtG3cS5dLW1qaZHkJIjarjv8jIkz7+Wvq4qlRccrMxEOLR6a24fvki+5ju3bvj+PHjcHR0rNPYGhJKfGqAx+PRhywhhGigmrSicLE2RmxyduVxK2MlRKSYiktuWS8f4cKJH1CS+4Z9zKJFi7Bq1SpoadFHd22of+GSEEIIURO+QIiRPdwqnfPiAAjo4Qa+QFgncYiW3IRCIZ5fDUNk0CI26dE3NsP58+exbt06SnqUgN5BQgghjZYWj4su7tZY4e+DkGvxePE6Dy5WxghQw6muJ8+TcCf0B7yNv8OOmbu0QadRC9G/f/86i6Oho8SHEEKIxqnLzuocDgc+za0kNjLzBcI6TXquXLmCazu/RUHOW1FQaNY7AM16B8DTybLO4mgMKPEhhBCicQoFhVLHmUrnr2pPtKn4dnwGSsqE0NXmopObdZ3M+AgEAqxduxYrV66EUFi+rKZjZIa2Q+fBsrmXxJKbJhyrbwg4DJW7laBoW3tCCCH1n7Q6PkD5Hh9V1/FJS0vD6NGj8c8//7BjPr494TV8Hl6X6qhtya2+UvTzm2Z8CCGEaKS6WO5SVx2fixcv4ssvv0R6ejoAgMvlYuXKlZj/3QLo6rwvSFjXS26NASU+hBBCNFJdNRytyzo+fD4fK1euxNq1a9n+gvb29jh27Bh69+5d6fG0vKV8lPgQQgipl5YkLMGL4he1ngGqqzo+ycnJGDVqFK5evcqODRgwAIcPH4aVlZVSX4vIRqkkIYSQeulF8QvEFsVKXQ5TVF3V8Tl//jy8vLzYpIfH42HDhg34448/2KSn4mvVVQ2hxoZmfAghhDRaqq7jU1ZWhmXLlmHDhg3sWNOmTRESEoLu3buzY/WlQ3xDQIkPIYSQBqHikW9Fj4Crqo5PUlISAgICcP36dXbsk08+QXBwMCwt39fmqS8d4hsKSnwIIYRopOo2HH38KgsHLsXWaMakYmJR20Tj7NmzGDduHDIzM8uvp6WFjRs3Yvbs2ZXi0bQO8Q0dJT6EEEI0krwNywXCAonbe/96jLi0XADqmzEpLS3FokWLsGXLFnbM2dkZoaGh6NKli8znaUqH+MaAEh9CCCH1wq7kXUgpTQEAFAmKYMg1hIe+BzsDpO4ZkxcvXsDf3x+3bt1ixwYPHoyDBw/C3Ny8yudW52QZVXGuHUp8CCGE1AuBDoFV3l9Yyq80VlczJqdPn8bEiRORnZ0NANDR0cGPP/6Ib7/9Vu5Sm+hkmbTq0QE93FBYwsfiYxFISKdNz8pAKSMhhJB6b83JKKRkVu7vpexaPBWVlJRg5syZ+OKLL9ikp1mzZrh+/TqmT5+u8P4i0ckyTwcz6Ovw4OlghhX+Pujibo3Nv99DzKtsFJcJ2CW8iLgMOu5eQzTjQwghjVRddkBXJb5ACL92TXEtJk3qjImqloaePXsGf39/REVFsWPDhw/Hvn37YGpqWq1ryTpZdvCfWFyLTZN4LG16rh1KfAghpJGqq5YQqqbqWjzSnDhxApMnT0Zubvlmal1dXWzbtg1Tp06t8etJO1n2++2XUh9Lm55rjhIfQggh9Z6qavFUVFxcjDlz5mDPnj3smLu7O8LCwuDl5aXU1wLqrp1GY0J7fAghhDQIyq7FU9HTp0/RtWtXiaRn1KhRiIqKUknSU1ftNBobSnwIIYQQOY4dO4aOHTvi3r17AAA9PT3s378fR44cgbGxamZf5G16piPtNUNLXYQQQogMhYWFmDFjBg4cOMCOeXp6IiwsDG3atFH569fVEl5jQokPIYQ0UtVtCdHYxMTEYMSIEXj48CE7Nm7cOOzatQuGhoZ1Foeql/Aam3qb+GzYsAGLFi3CzJkzsW3bNgDlm87mzp2LkJAQlJSUoH///ti9ezdsbOjIHyGEVFSfjqwrm7yGpocOHcK0adNQWFheG8jAwAC7d+/GuHHj6jxWolz1MvG5ffs2fvnlF7Rr105ifPbs2fjjjz9w4sQJmJqa4ttvv8UXX3yB8PBwNUVKCCFE0zAMg8hnr3H8WnylhqaFhYWYNm0aDh8+zD6+TZs2CAsLg6enpxqjJspS7+bL8vPzMXr0aOzbt0+i90lOTg4OHDiALVu2oG/fvujYsSOCgoJw/fp13Lx5U+b1SkpKkJubK/FFCCGkYeILhIiIy8CK0EjEJktWQz569gp8fHwkkp7JkycjIiKCkp4GpN4lPoGBgRg0aBD8/PwkxqOiolBWViYx7uHhAScnJ9y4cUPm9davXw9TU1P2y9HRUWWxE0IIUS8tHhfHr8VLVHhmGAZJURcwfmh/xMaWF3Q0MjLC0aNHsW/fPhgYGKgnWKIS9WqpKyQkBHfu3MHt27cr3ZeWlgYdHR2YmZlJjNvY2CAtLa3S40UWLVqEOXPmsLdzc3Mp+SGEkAbsRcb7qsf8kkI8/r9dSLt/hR1r3749wsLC0KJFC3WER1Ss3iQ+SUlJmDlzJv7++2/o6ekp7bq6urrQ1dVV2vUIIYRoNlE15NzU57gftgGFb1PY+6ZNm4bNmzcr9XOGaJZ6s9QVFRWFjIwMeHt7Q0tLC1paWrhy5Qp27NgBLS0t2NjYoLS0lO2OK5Keng5bW1v1BE0IIUSj8AVCBHRvjqRbf+LWvrls0qOla4A12/Zi+46fap30VKyoTBWWNUu9mfHp168fHjx4IDE2YcIEeHh4YMGCBXB0dIS2tjYuXbqEoUOHAgCePHmCxMRE+Pr6qiNkQgghGqYgPw9bv5+BmLMn2DFr55bYtf8QhvbrXOvCgFWdGKOig5qh3iQ+xsbGlapkGhoawtLSkh2fNGkS5syZAwsLC5iYmGD69Onw9fVF165d1REyIYQQDRIZGQl/f388f/6cHZsxYwY2bdoEnpZ2rRMTvkCIyGevsSI0kt08LToxtsLfBz7Nraj4oAaoN4mPIrZu3Qoul4uhQ4dKFDAkhBDSeDEMg59++gnz5s1DWVkZAMDMzAxBQUEYPHiw0l5H2okxAGAAhFyLl2g7QdSHwzBMxf9GjVpubi5MTU2Rk5MDExMTdYdDCCEaTV4FZHXLysrCxIkTcebMGXasS5cuCAkJgYuLi9Jf7/MN51FcJqg0rq/Dw5kFA5T+euQ9RT+/G9SMDyGEkLqj6ftZIiIi4O/vj5cvX7Jjc+fOxbp166Cjo6OS1+zhaStxXB4ACkv5MNVXzeuR6qMZnwpoxocQQuQT7WdZFRaJ1k4WsDDSQ2Z+MR4lZmLZCPXuZ2EYBlu2bMHChQvB5/MBABYWFjh06BA++eQTtcQUnfAGbZwsNGo2rKGhGR9CCCEqo8Xj4lFSJg4GfgBb8/eVjdOyCvHnnZdq28/y9u1bjB8/HmfPnmXHunfvjuPHj6u0OO3ShKVIKE6oNO6q54o1rmvQ3sVSI2bBCCU+hBBCamhCXw9ExGVg/em77FJXQA83jO/roZZ4wsPDERAQgFevXrFjCxcuxKpVq6Ctra3S104oTkBsUazM+ynp0Rw050YIIUSmrUlbpY6Lmn2urNDsc2VoJCLiMuq0aJ9QKMSGDRvQu3dvNulp0qQJzp07h/Xr16s86SH1C834EEJIIyZvieYN/43U52nxuAiRcXQ79Fo8fOtoqSsjIwNjx47FhQsX2LHevXvj2LFjsLe3r5MYSP1CiQ8hhDRi8pZoqlLx9BI7/lr6uLJduXIFI0eORGpqKoDy5aSlS5di2bJl0NKijzciHS11EUIIqREXa2Pp41bvx1Wx5CUQCLB69Wr07duXTXpsbGzw119/YdWqVZT0kCrRTwchhJBq4wuEGNnDTaI9AwBwAPj3cENaViFO3nyG/l5OcLM1Udrm3rS0NHz55Ze4dOkSO9avXz8cOXJErQ2pXfVcqzVO1IcSH0IIeUfefhfynhaPiy7u1ljh74OQa/F48ToPLlbG8H9XwDC7oATfDmzLPl5ehWdFKj5funQJo0ePRnp6OgCAy+VixYoVWLx4MXg8npK/w+qhn4/6gxIfQgh5pzb7XRoqex3pG4T5AiFSswrg09xKomZPVn4JAOBJSg5CrkVJrehc3YrPAoEAK1euxJo1ayCquWtnZ4fjx4+jd+/eKviuSUNGe3wIIaQRc9VzhYe+R6Uv0RJNoEOg1Odp8bj452EKtHhchF6LBwAsPX4LJWUCqcfcV4gdc4+Iy8CKKu4Xl5KSgn79+mH16tVs0tO/f39ER0dT0kNqhGZ8CCGkEavNEs3TlBwAQEZuEQDAxlQftuYGWH/6bpUdym/HZyjUwfzChQv48ssv8eZN+ZF6Ho+HNWvW4LvvvgOXS3+3k5qhxIcQQho5hmHwIDETF6KTkJJZCHsLA/T3ckRbJ4sqNyUXlJQhLasQPm7WSMsqRP8OTgDkH3MvKZN+0kt0P5/Px/fff48NGzaw9zVt2hTHjx9Hjx49qv39aXoHeVK3KPEhhJBGTNRsVPx01uNXWbh0Pxkr/GU3G+ULhAjo7oZ9F2OwZJg34lJz4G5nCqD8mHtscnal54iOuetqS086XKyMkZSUhJEjRyI8PJwd/+STTxAcHAxLS8tqf3+a3kGe1D1KfAgh5J2GdCRZ0RNqWjwujsuowCy+9FRxlkR0qgsAgv+JxZAuzcDlcKo85h7Qww2lfAE6uVnjj6jESvc3LXsOL6/PkJmZWf4aWlrYsGED5syZU6MkRVpSJ9pPVFVSRxo2hRKf33//vdoX/vDDD6Gvr1/t5xFCiLo0pCPJ1TmhJm9p6t+HydDX0ao0S8LhcNhTXQzD4HFSJjJyitCrtX2lY+4BYrMsFY/BO5rr4W1EKOYv+5m9trOzM0JCQtC1a9cavweKJnWkcVEo8Rk8eHC1LsrhcBAXF4dmzZrVJCZCCCF1SN7SVDtnS4zZfgnLRlSeJdHicSvNrFyNScNXfp7YNrE7+7g3uUXYcDoaadmFmDagNZswvXjxAgEBAYiIiGAfO3jwYBw8eBDm5ua1/t7U3VaDaB6F5/jS0tIgFAoV+jIwMFBlzIQQQpREtDRVcSFJVIH5TW4RLI310NrJAiHX4qUuDVWcWQmPTcOk3f8iM68YT1Nz8N3hGxiz4x9cfpSC2ORszDwQjshnr3Hq1Cl06NCBTXq0tbWxfft2nDp1SilJD6BYWw3SuCiU+IwbN65ay1ZffvklTExMahwUIYSQuiHaq7Pc3weeDmbQ1+HB08EMy/190MXdGvsvlS+XWRjpVTlLUnFmpZWjBSyM9bDr3EPce5kJodh6k4Bfhm+mfYuhQ4ciOzsbANCsWTNcv34dM2bMUNqm46qSuoAebirpI0Y0n0JLXUFBQdW66J49e2oUDCGEkLrH4XDgbmsqsTSVmlWINSfvIDOvGACQmV9c5SyJaLmMywHaOFmgh4cdACCxQrJUmJmK+2EbkZsSz44NGzYM+/fvh6mpqTK/LZltNQLoVFejpvCprmHDhmHy5Mno378//bAQQoiGq84JNb5AiPi0HGw6cxfmRnrIzC/Gw8RMMAyw3N8HqVmFeJSYiWUjfKTWwOELhAjo4YaL915hip8nbM3fb3fY900f7L7wCOGxaUh7eA2Pf9sBfkkhAEBXVxdbt27F119/rbLPFfEN2OLx0udY48VhRDXA5ejXrx8uX74Me3t7TJgwAePHj2+Qm5dzc3NhamqKnJwcWq4jhDQaDMMgIi5DasPR4H9i0crRoopeWkJwueXjN0XXEKuZ087RBH0Gj8Xtv06yz3F0aYZTJ0/Ap6N3nX2PpGFT9PNb4cQHAF6+fImgoCAcPnwYL1++RO/evTF58mQMHToUurq6Sglc3SjxIYQ0VlVVOJZX7VhazRwAKHyTjPS/diAu9hE79tEnX+DE0SCpv2OpyjKpKUU/v6v10+Ts7IwVK1bg+fPn+Pvvv2Fvb48pU6bAzs4OgYGBiIqKqnXghBBClKfiBt7qbOjNLSzFvw+T8TgpEzxu1UtD0mrmpN6/jFt7Z7NJj56eHvbt24ffT4Uij89Dxb+7RVWWZx4Mx+cbzmPmwfLTX9X4+5wQuao14yNNXl4ejh07hsWLFyMnJwd8Pl9ZsakFzfgQQhoK0fKVIu0apD1WtAl47ck7+LB9U3RqbgUGkDkL9PmG8yguE0BQWozYc3uRHPUXe59NU1e0GjYfbdu2Y68bl5qD5jYmUmsBiXAAqrJMFKKSGZ+KEhIS8OOPP2LdunXIycmBn59fbS5HCCFESfgCISLiMrAiNBKxydkoLhOw7Roi4jIkZn5kPXblu8dO9vNETFImuFwOIp+9xoFLMRAyDG6/m51ZcuwWgPKTXfmvkxCxd65E0jNu3Dg8i32AY8vGwdJYj72upZEum8zIq7JMSQ9Rlmr/JBUXF+PIkSPo27cv3N3dcfjwYUyaNAkJCQk4f/68KmIkhBBSTdVJJKp6bOi1eNiZG+DzLq6IiMvAqrBIDPJ2RkRcBla+S5TuPH+NtKxCmLyOQsTPs5Cf8RIAoKevjw8nLkGWRwAWh0Yj4XUelg7zRjcPW4Rei0cTE8n6cFRlmdQFhY+z37p1CwcPHkRoaCiKi4sxZMgQnD9/Hv369aNjgYQQogSKNhaVRtom4OokEvIea2Gkh5DwKHzayQW25gY4ceMZOByAYYDSkmIMHOKP6Ctn2ec1c28Ju/4zwbF2kphBWu7vgyl+ngjcd7XSa8lrnUGIMiic+HTt2hXt27fH6tWrMXr0aKWVEyeEEFKuOo1FxYk2BYv25/i1c8D0j9tWK5FQ5LGLhnSAjVl5jZ7pH7fFcN/mWH3w/3Dop/koeJ3EPm7y5MnQ9g7AszfFknGifAZp28Tu6NvGAUD5UXjeuz0+AT3csFLKHh//d1WWabmLKIPCiU9kZCS8vaneAiGEaBJpm4L/vJOI4b7NMbKHm9TNwgEVEglRawdpj/Xv4YaSMgF0tLh4npGHdafu4kVGHpytjGCUdhsH1yxGcXF5gsPT0ceU+auwZ808fL5B+tYH0QxS/w5OEjFwAHR91zojtEItoa7u1hAK6WQXUQ6FEx9vb28IhUIEBwfj1KlTePHiBTgcDlxdXTFs2DCMGTOGlrwIIaSOSdufI2SAvRdjsHSYd6V2Df493ND53YmqFnam4HA4cls7CIUMu6eHAcAvKcTJ4xuRev8y+5pWTu4YM38Tpo/oC0D+DJKbrYnEZwaPxwXDMGjvbAlfsSrLhSV89n5ClEHhxIdhGHz66ac4d+4c2rdvj7Zt24JhGMTExGD8+PE4deoUzpw5o8JQCSGkYXPRc5E6bqNtI3VcRNr+nPDYNPxwJhpzP2sv0a5B1IPremyaxDHxqlo78HgcNrnKS3uOe6EbUfg2mX3cN998gy1btkBPT499nqKzTeI4HA50tCTHdbS49Ec1USqFE5/g4GD8999/uHTpEj744AOJ+/755x8MHjwYhw8fxtixY5UeJCGENAZrXdfW6HmyZlcMdbWgxePipz8fIL+Yj6yC8iUpc0M9tHW2QGh4vESiUzEZEb+dkJ6LpNt/4sm5fRDyywAAPF19dBg6C7t3r8Ohy09w6mYCXKyNMW1Aa4Wbg1ZMgkr5Qhy6/AS/335ZZd0hQmpK4cTn+PHjWLx4caWkBwD69u2LhQsX4ujRo5T4EEJIDdT0RFdVsysfdXACAFy8n4yOza0w55P2Eg1E07MLFYotJycHsad/RNztf9gxE3s3tBuxAB3begIAHiZmsqe3Zh4Ix/ZJ3eU2B2UYBk9TsrH3YgwS0t8XTZzQ1wPJmYUIj03DitBIKmBIlErhn6L79+9jwIABMu8fOHAg7t27p5SgCCGksRGd6Kr4JS0ZEie+P8fTwQz6Ojx4Ophhhb8P3G3Lq9d+1skZS4d5I+F1nkQ7iOcZeXLbQURFRcHb21si6XHq8ik6T/4BhhZ28O/hhtSsQjxMzGTvZwDsOf9I5gySqHgih8NBK0cLLBzcAR2bW0kUTZzi5wkuhwoYEuVTeMYnMzMTNjay15ltbGyQlZWllKAIIYRIquo4t7T9OYUlfAT9E4tBHZ0xsoe7xOZkAGySIWs2hWEY7Ny5E/PmzUNpaSkAwNjEFL3GfActR2926aqzuzXWnLyDioeuZBUdrHj0XjTLs3SYN9acvIPw2DT2yHsbJwvcf5lJBQyJUimc+AgEAmhpyX44j8er9326CCFEUz1+lYW2ThYy97povTsVVSYQIi41B/MP3YCAKT8NNa5PS4RUUcVZPGECgKysLEycOFHiwEqnTp1x7PhxuDVvxo7xBUIE/ROL8Ni0SvFIqxUk7eh9xcKGN56kSRRNlHUtQmqqWqe6xo8fD11dXan3l5SUKC0oQgghkvb+9Rhf9m4hdXZGNBtUfiqKh71/x0DwLrNIySzfx6NoFeeIiAgEBATgxYsX7FiHjwKwefMmNG/WtNLzWztagIPnCp3ektcaQzTLU8YvXwrLzC+WexKMkOpSOPEZN26c3MfQxmZCCFEN7+ZWiIzPqDQ7I9ogfPvZa+hp8eDfw00iycnMLz/JJa+uDsMw2Lp1KxYsWMDO3mvrG6P1kFmw8uiCtafvY4WODnyaWwEoT2Lk1f+RNjslLwGzNNJD7zb2SMsuBF8gxAp/HzrVRZRK4cQnKChIlXEQQkij5qrnWuX4xL4eACT3+ggEQpTwhWjlaIFWjhbs/Z91ckbY9ecAABN9HZTyBVXW1UnPeI3Jkybi7Nn3vbbs3drC/fPZ0DW1BiC5LPY4KRO//B2DFxl5+KxT+R6iqk5viZOXgH3WyRmeTc3B4XCwdUL3Kq9FSE0onPgoIiMjA9bW1sq8JGvPnj3Ys2cPO/3aunVrLFu2DAMHDgRQ3jV+7ty5CAkJQUlJCfr374/du3dXuSGbEEI0hbwmpF//chW62jyJujZcLgf3Xr4tn215t1F4ZA83TOzrgZTMQjAAlgzzRlxqDjpLaQcR0MMNgtfx6OQ3EklJ73ttLViwAKtXr8bb/DLsvRjD7uERzcr8fvslm7yEXX+OX288x4/jfNHSwQw8LlfmkpQihQ1b2JtJJDq0vEWUjcPIO8v4joGBAV6+fAkrq/JpzkGDBmH//v2ws7MDAKSnp8Pe3h4CgUAlgf7f//0feDwe3N3dwTAMDh06hB9++AF3795F69at8c033+CPP/5AcHAwTE1N8e2334LL5SI8PLxar5ObmwtTU1Pk5OTAxMREJd8LIYRUxDAMHiRm4kJ0EtKyCrF0WEckvc3H3r8eo6CUz+7V4QDsSayKG4XF72/nbInCEj7i0nKwMjQS3Txs8ZWfJ1vHRygUYuPGTfj++6Xs720zcwv0GrcYsGnNnrbq8u7UVnhsGjwdzLBtYnfMP3wD919mSsQvuk+R7zMiLkPhpTFCFKXo57fCMz7FxcUS9R6uXr2KoqIiiccomEPVyKeffipxe+3atdizZw9u3ryJpk2b4sCBAzh27Bj69i3vExMUFARPT0/cvHkTXbt2lXndkpISiY3Zubm5qvkGCCH1Qk0LCdZGxdNO7ZwtYG6kixVhkYhLk/ydxADsXh9ZG4VFS1IGulpYfTIKDMpbWNx4koY2ThbQERTh9K5liIl6/4ehV6euMO39NYpNmgDvChGKn7a6+SQNAT3ckFahZo+IokfOq2qNQUhdUOpSV1394AoEApw4cQIFBQXw9fVFVFQUysrK4Ofnxz7Gw8MDTk5OuHHjRpWJz/r167Fy5cq6CJsQUg+ICgnWJS0eFyHh75MY0TFuWRuBS96delLkpJb4Y4QMcPnKVTw4sQkleeXJC4fDwZIlS5Dt5IenafkS1xE/bfXjOF94NjXHwX9iK9XsAap35Lyq1hiEqFq9+ml78OABjIyMoKuri6+//hqnT59Gq1atkJaWBh0dHZiZmUk83sbGBmlpletLiFu0aBFycnLYL/F1bkIIURVR9WKRRUM6oLuHLQDJk1jS6L5r5CnrfvEkRPQYRijA88shiAxazCY9NjY2WLv7CFavXo3Et0VSryVKojwczCAUMu+Or0sS36NDiKZTOPHhcDgSMzoVb9eFli1bIjo6GhEREfjmm28wbtw4PH78uFbX1NXVhYmJicQXIYSokqh6ccX2EUuHeaO7hy1M9HXYjcDSkgwfN+sq7xclIaLHlOZnIerwMsT/cwRgypOTjl17IDLqDgpM3ADIT6K4XC54PC58mlth+6TuldpjdHG3ppkbUi9Uq4BhixYt2GQnPz8fHTp0AJfLZe9XNR0dHbi5lf8j7dixI27fvo3t27fD398fpaWlyM7Olpj1SU9Ph62trcrjIoQQeUTH0BWpXswB8Cw9V+ZJrC7u1mAYRqEaOvmJD3D/4BxkvnkNAOBwuZg26zts3bga2lpayC9JQFpWIQJ6uEm0tADeJ1FvcoswZc8VOFm975YuvpGZ9uiQ+qRe1/ERCoUoKSlBx44doa2tjUuXLmHo0KEAgCdPniAxMRG+vr5qjpIQ0tiJZnhux2dg+sdt5VYvBoD1p+/C0lgP3w5sLZFklPIFEjPu3s2aSGwUTs0qxNPUHLg0McS6tWuwevVq9g9TOzs7HDt2DH369EFxKR9cgRAB3d2w72IMlgzzlppkiXpxFZaWb3he8S5B83Qww+vcYrjZmtBMD6lXlFq5WZUWLVqEgQMHwsnJCXl5eTh27BguX76MCxcuwNTUFJMmTcKcOXNgYWEBExMTTJ8+Hb6+vlVubCaEkIrkFRKsLoFQiCfJ2VgVFomerewBKL4puYmxHoz0tCUewxcw+N+VGPx++6XEkfPTEQm4+TQdDxMz4aDPx7Oz23D58mX2ed16fYCAWWvwd4oWzgSFI6B7+fO6uJfXXgt+19BUPMl6k1vEHmUXEU/Q1v16B190bSa1jQYhmkqpp7pUKSMjA2PHjkVqaipMTU3Rrl07XLhwAR9++CEAYOvWreByuRg6dKhEAUNCCKkOZR1ZFy1t8bhctHK0wMHAD3DhXvnhCXnVi4HyCsYT+nrgVlxGpU7mE/p6IDmzEOGxaewSWbeWtth/MQYZT6Pwz6ktKC3IAVDeQPr75Svx/ZJF7NaEtKxC7LsYAwDwaW5V6Xi5UCgEl8vFlD1XUFhauTabKEEzN9KT2uSUEE2mcAHDZs2ayX8QgOfPn9cqIHWjAoaEkNoSFemrmLB0cbdGdkEJnqTkSN1Ps8LfB262JhAIGRjr6+D+y7dSCxQu9/eBi5UxJu76F0KmvHjgj2O7oMeQSYg4e5h9rIODA44fPw4tmxYS1Z1FsQT/E4uJ/Txlfh8zD4ZLTdDECxnGpebgzIIBtX3LCKk1pRcwfPHiBZydnTFq1CiVtaUghDRs6igOWNfkbV72sDdDlyo2LYtvElakk/n9l5mIiX+ODz5YiIhr19jHffzxxzhwMAgvchisCI0EhwO0cbKAhZEeTt8s/wP1447OVX4fstpL+PdwQ+q7QoYt7c1q83YRUucUTnxCQ0Nx8OBBbNmyBQMHDsTEiRPx8ccfs1OnhBAijzqKA9Y1LR5XbsJy6PIT9G/vKPdklLy9QBZGenj95DZiftuG4vx3S1taWli/bh1mzZoNbW0trP8jvFK7CgB4k1uMJiZ6VX4f0k6N+Yu1sWCY90fnaY8PqS8UTnyGDx+O4cOHIzk5GcHBwZg9ezamTp2KMWPGYNKkSXB3d1dlnETFGsNf4oTUFXkJC+fd/7cx02eTHWmJQ1V7gcrKynBq/4+4e+4YO+7k5IRD/zuKXj27g/vuurZmBlgwxAsRcRlYf/quxHKXpbEum7RIO44urb3Em9wibDoTjcy8YrZ+Dx1lJ/VJtVN0BwcHLFmyBHFxcTh27BgiIiLg4eGBrKwsVcRH6ojoL/GKX9KSIUJI1eQVAxzbpyV8mltVmTBUVaCwl6sufLv3QKRY0tOplx8+XbAXm67mICIuA4J3VZSn+HkiIi4DK0MjEZucjWKxPlwRcRkoLBUgIi5DZtVl8YRMIBCiiYk+Fg7pgG0Tu8v9HgjRRDWamywuLsaRI0ewcuVKREREYPjw4TAwMJD/REIIqScqJgKi27LGxW/Lq6gMSJ/hEb+W+FKTeJXkvpZvMOmLDxF1+xYAQFtbGwPGz4VZv5mIe8uHgClfUuPxuO8SlfKTV7KamZoa6CAyPkOhpSoe9dgiDUC1jrNHRETgwIEDCAsLQ7NmzTBx4kT8+uuvMDc3V1V8hBBS50QFB8VPZU0b0Bot7EwrjY+ssClZ1t4YaZuXFXlN0VJTaWkpvvvuOyzYvp19jrOLCxwGzIDQvoVEoiVaUhMlKvKW3qxN9Wv7lhFSbyic+LRu3RoZGRkYNWoUrly5gvbt26syLkJIA6Ts4oCqIO1U1tOUbJjq6yAiLqPSaa0VoZFY4e8jUcRP2t6Yqto6iBc5FDDvrz3zQDhW+PvAVJiLQYO/QMKTh+xzhg0bhl5fzsfZ+68lrsXlAH5tHcqvKxCCx+PKrRs0orubZJyoPLtDSEOhcOITExMDQ0NDHD58GP/73/9kPi4zM1MpgRFCGp76sFFe2qmsNk4WsDU3wPrTd2UuGVUs4ldxGUjW0lbFIod7L8awlZIZAKu37cO1oz8gNzcXQHnPwo0//Ihvp01D5PM3SMoRwNxID5n5xTDR18EUsdNbvHe9wWQdSw/o4YbCEj4WH4tAQvr7Tc9d3/UCo/07pCGq1726iPLUh7/ESf23K3kXUkpTKo3b69gj0CFQDRFJV3FpyMJIT+o4+/jX0serIm1pK6CHG5YO88aak3dw9UEinl44gKRbf7DPsbR1xMfTVuGvXCsMzy2WOqv0LD1X4vTWtAGtq1x6W3PyDmJeZQOQrDfU3tkSOlpc2sdDGpx606uLqFZ9+Euc1H/Xc69LrePjoe+hUYlPxaWhzPxiqePs462kn+KSRV6Rw36u2vhxxjzkpb2vhO/R9UPY95uCdBige0tb2JkbVGpnMfJdU1FLYz3EJmezy2XbJ3WXmiQd/CcW18T6cAHv6w35UhsK0kBRKk8IIWKkncp6mJiJtKxChU5rKaKqIoerNu/BgA+6s0mPjq4efti6E84fz4CWrgG4HOCrd0fUV1Q4or7i3RH1KX6e4HLeX3PP+UdSl95+v/1Sanw1mcEipL5QKPGxsLDAmzdvFL6ok5MTXr6U/g+KEEI0mbRj5C3tzZBTVCr1eLmoiF91l4QqLpsJykrw6LefcH7vSuTn5wMAnFzdEBFxE4UOXcG8S7lE+41kHVEPvRYPO3MDtHGyeP9aMhIZefWGCGmIFFrqys7Oxrlz52BqaqrQRd++fQuBoHJHX0IIqQ+qOpVVndNaVRFfNit4nYR7YRuRn/6CvX/MmDHY8dNOpBcIcf33cHZc0f1GoscB0hMZeb24Ckv4tMeHNEi0x4cQQhSgzPNN4klHcvQlPP6/3RCWlQAAdPX0sWvXTkyaOBEAYGrCYIW/DyLjM1DCF6LZu1kaefuNRPuSxJfixJOYqnpxdXUvb0RNp7pIQ6RQ4iMUKr52TQghsmjq6cGKSQFfIER6ThF0tXhsI08ejyv1JFbFAobyriu63cbeEFrR/8PDU6Hs/c3cW+L307+idevW7JisWaaqjqi/yS3Cs7QceDqYVVk4Uda1hUKG6viQBovDMEzFZeJGLTc3F6ampsjJyYGJiYm6wyGEqBjDMIiocDpKVKVZNJ74Og/7vumD+LQcqclGxQKGsq4rSkL+vHwTC76djMePH7OPnzhxIpav3YQiIQ8t7EzZREVefPKqQ9e2czo1MCb1haKf39VqWUEIIfWJqHKxiLQZGEWqNLdztkATEz2sPhklt4ChQCAEA0g9rr4i5DZ8tOKwdc0SFBUVAQC0dfUxeOpiWHTsh0P/vcAUP0+JxKWoVICL915BR4uLri1skJlfjNkHw7F1YuUj6qlZhVhz8g5yi0phYaSHrPxijOrpDi/XJjV+D0UNjAlpKCjxIYQ0KOLJDY/HxZu8Yly4mwS+UIhOza3g2dRcoq/Wk5RstHW2wOOkTLRytICXiyVszQ2w4cz7Ks3VKWAoSrQqHlfnlxQh5v924a/7l9mxdu3aYd66n3D/rTbMDHSwaKg3IuIyKhUgXPhFB4mELS2rEH/eeYmW9mbs2E9/PsCfdxIhrJCZWZu+gpdrE5q5IeQdSnwIIQ2GrD04o3q6sclOYQkfulpcMChPfMb1aQkAKOULoKPFY6+1aEgH/PJ3efuImhQwFE+S8tKe417oRhS+TWbH/MdMwMGfd0JXTw9juOWtJW7FZWBlaCQ4nPJj611b2MDdzrRSocKAHm4Y39dD4vUu3k+ulPQAQEpWIQCauSFEhHavEUIaBL5AKLOo3824DKRlFWJWUDjuv3wLLpeDZ+m5mHkwHBtP34WQYXDn+RvMCgrHkmO3cOjyE7zJK8bSYd7o7mHLFjAMqKKAYWEJn30+UJ4kMQyDpNvnELF3Lpv06OgZICQkBE5+U3D/VR4YBhAyDFvUsJuHLYICP8APY30xtGszcDkcuFgZw9JYj/2eVr4rVCheNNHVRnrtHft3fbtqykXPBY66jrW6BiGapNqJz507d/DgwQP29m+//YbBgwdj8eLFKC0tVWpwhBCiqKqqIYdei4etuQG0eVy2urGJvg6sjPUw+9N2uBWXgb/vvcLCwR2wdlRnjOvTEq0dLVBcKsD0gW0AAHsvxlRZwHDz7/cQ8yobd56/RlpWIT71ssGDE5sQ83+7IOSXAQBM7JrjyO+X0OujT/EgMRMh1+KhxeMiObMAAGBrZoClw7yR8DoPMw+G4/MN5zHzYDgSXuexSZj49yS+/LVuVBeM7umGPq3t0c7ZAlxOeVL2kVfVSYuNdtWtKda6rsWZ1mco+SENRrWXuqZOnYqFCxeibdu2eP78OQICAjBkyBCcOHEChYWF2LZtmwrCJIQQ6cT39ChS1E+0GXnbxO5YPMwbXA4Hj5IysWRY5f01ok7lY3q1wK34DMSl5sjteSVkgBV7T+PivuVIe/aMfVz7fsOwfdtm9GztiDUn70DIvI/rUWImHC2NMG1Aa3a5S1oPryl+nrjxJE3iuT/+dg/mRjoY2cMdY98t2wHAm9xivM0vRgu7qgvP6vP0Acg/vdXaoDUMuYYS44TUR9VOfJ4+fQovLy8AwIkTJ9CrVy8cO3YM4eHhCAgIoMSHkAZOkzbJivb0RD7LwLcD2ypc1C/xTR74AiGeZ+ShhZ0pPunojAgZCccKfx+M6N4co3q5401uEbR4XOQXlYLH40JfR0ui5xXDMEi6dRaXLhyE4N0sj6mpKQ4ePIgvvviCPXUV/i5JEsV1LSYN3T1sYWqgU+Ws1baJ3dHGyQL3X2ayz7Uy1cOY3i3eH21XoL6QNPL2AK11XavQdQjRdNVOfBiGYQsaXrx4EZ988gkAwNHRsVr9vAgh9ZOmbJIVHUX/+94rTPHzlNuCITWrEA8TMwEA/do4QIvHxfO0HLSwM4WNmQHWnbpb5VH1324l4Fl6LuZ82h57/45BQQkfi7/oAB6PCxdrYzyIf4VHv+1AxuPr7PNdWrbB32fPgDFsggX/uwEGgLmhHto5W+BRYiZbUdnOQh/a1Zi1Ev+e+rd3lJq0rXiXtInqC8maobHXsVfo/Q7NCIW/tb9CjyVEk1U78fHx8cGaNWvg5+eHK1euYM+ePQCAhIQE2NhUvVZMCCHKosXjSixR/XHnJSb09cByfx+EVmjB0MXdml1e6uFhi0kftgIADOjgBKA8ibI1M5A6WyRKOD7v/D5x+OpDT1y49wr3E9+irZMl2pnk4tC+2ch5k8o+ZsbMmfhh0ybo6OiAYRgsH9EJBrrvf+UWlvChp8MDwzAIHNCWHZc3a2Wsp4Xl7/YV/e/KU4zr0xLrT1edtAGo9Wzc/YL78AclPqT+q3bis23bNowePRpnzpzBkiVL4ObmBgA4efIkunXrpvQASf2nSUsjpO7tSt6FlNKUSuOt9FthtO3oWv18VFyiSs4sxFd+ntg2sTv7mMISPoL/icWd56/h360ZJvT1qFQJeWQPNywY4gW+QMgW/8vML8bDxPdLSj/9+QD5xXxM8fNEExM9DO3aDAzDYPOWrVi8aCHKysqXtszNzXHg4EG06twH84/chq2ZARYM8cL9l2+ltrrgcstnetKzC6Gno1VlKwq+QIhvP26LzPxi7L8Yw+5t4nI4cLN9X6m2sJSPlMxCmV3ZCWnMqp34tGvXTuJUl8gPP/wAHo8n5RmksdOUpRGiHoEOgVXeX5ufj4pLVOGxabjxJA1tnCzQ1skCY/u0RClfgIn9PDGxn6fEkXdpy0ILhnhJ1PJJyypETlEpUrMKkV1Qys4urT4ZhacvUvDk9+1IuCfWOd3JEzNWbkObLl3Q3NYEVsZ6mPBBS5lLUcv9feBqZYwNZ+7Cv3t5ItRZRuNQ0X4dgUAICyM9fPVu1goAtk6o/EfnhF3/wlRfp0bvKyENWbUTHz6fj0ePHiEtrXxznq2tLVq1agU9PT2lB0cIqd9UOdsnFArB5XIr7YkRMsD9l5mIS83B2D4t8Vd0EkZ0d8P56EQM8HKSuXlYfFkIKD8VlVNUihZ2pjh54zmm+HmyCUxWYgzun9iE4pzX7OOnz5qD+YuWwdH6/SmqBV94QZvHk7kUJdqwrM3jsie3POzN4GZnKjFrVVwqQF5RKcb99C/GfdASgzu7yn1vDXW0pHZll0VTG8gSomwKJz5CoRDLli3Drl27kJOTI3Gfqakpvv32W6xcuZKdtiWENEzV+YBU1myf6MNb/ENc9LtG3p4YE8PyWY+HL7MwwMtJ7ubhH3+7h6S3+WzDz6epOejb1gGWxnpY92sUnv93EvGXDoN5d8hD28AEA6d8jx1b5yHpbT5++vMB/nmQDCcrY3w7sA3c7UwVPmYvSoSO/xeH4d2as9+rng4PhaVl6NDMCn/fe4XBnV3lvrdffdQKbZ0sFD7VJS8RLRIUKXQdQjSdwonPwoULERwcjA0bNqB///7sRub09HT89ddf+P7771FaWoqNGzeqLFhCiPqp48j6s/RcuNuZ4vaz1+yRbVcbY6wb1UXunhhHSyMAgK62YolSek6hRO0cd1sTWBrr4fXr1wj9YQ4ynkayzzFzbo12w+aDY1X++9DR0gjTP26L4b7NsfdiDPb9/RibxvoqfMxelAgF9HCT2tl96TBv7L8YI/O9ctR1hIueCwCglVhPsuqQtierSFAEA17tKkAToikUTnwOHz6M//3vf+jfv7/EuIuLC7766is4Oztj7NixlPgQQpTqQWImmloYIj4tF6dvPsfTlGwIGSDmVTY2/34PS4d5S90T09ndGlwOB55NzVEmEKKTmzXbdmKlAkfexWdg/vvvPwQEBCAj5V1CwOHAtecINP9gFLg8HpvALDl2C/nFZWySsvbkHbzJLVb4mL2rtbHUjvHiidiQLtJn3Bx1HXGm9Rn2tiLLW9LI25NFSH2ncOKTl5cHe3vZ9R7s7OxQUFCglKBIw0J7B0hV5P18eDqYQVuLBwtjPWwa64u0rELsvVjePPRabBqC/onF2D4tJfbnpGYVYtOZaCwc0gEpbwvQtIkROrtb49XbfHStYvOw6Mi7SEJ6DtauXYtly5ax9ct0DM3QduhcWLp1ACCZwNx5/hpCBmySMtnPE3/fS0JADze5r8kBMNnPU27rDfG9P+JEVZXl7f3ZlbwL13Ovy7yfkIZO4cSnT58+mDdvHo4ePYomTZpI3PfmzRssWLAAffr0UXZ8pAGgX6bK0xBLA8iL+1FSFtq5WGLj6WikZReysymiCsi/R77ExH6eOHo1Dolv8tlj6CN8m0EgEKJpk/KlLqGQgVOT8pmZim0n3uQWSVRUBoCS/CzEnt2B3x/fZsc++OADzFm1DRef5lWZNDEAYpIy0am5FUb2dJf6muLH7D0dzBDQww2tmpoDkF/EsCry9v6klKbQKUtSLQ3t947Cic/PP/+Mjz/+GHZ2dmjbtq3EHp8HDx6gVatWOHv2rMoCJYTUv9IA1Znt4wuEePwqC3v/eszOdhSW8pGaWYjl/j4Y/0FLTNz1b6W+VaJlpugXb3D/ZfmS0eR+HhjSxRW8d8s9otYWIeHxMNTVRn+vpujVyh5bfr+H8R+0RHxaLq6LJT1vn9/Dg5M/ojQ/CwDA4XCwfPlyLFq0GFweD5/0eL+MlJlfjLUn7yCvqBR9WtsjM78YJvo6GN/XA7fE9um42hhjip8nPJua48qjFHg6mLPH7EXfv2hPjrw9QdLeQ9HeHkKUrb793pFH4cTH0dER9+7dw4ULF3Dz5k32OHvnzp2xbt06fPTRR3SiixAioTp/DWrxuDhwKRZxabmV7qvYp0p0u52zBcb1aYmSMgGcrYzwLC0Hn/g4Y5hvs/LeVeHxWDSkA55n5OHiu+7rtubvN+lO7OeBv++9wlDfZljh74NjV5/gr5C9ePLPMYApT79sbW2xYcdejBn2CSLiMhD6LnlqYW+KTs2t4NHUHIEDW8PC6H1Jj1K+AHGpORL7dGJeZWNu8I3yI+sO5pi0+1+0crSAhZEeCorLsGZUZwDlCZC0fUgOFgaY2M+DPdlWH//SJkQTVKuOD5fLxcCBAzFw4EBVxUMIacQUOfYtfntVQGfoapcXHPx2YFt8/VFrcAC2SGFbZwvYmBngbNRLqd3XR/ZwwzDfZrj+JB1GTAEeHF2OJ5cvs6/7Qb9+mLt6Gzp6NKtUhDDy2Wskvs7H0mHmeJqSg+PXoiSu29ndGt08bCWWz8T36bRytGBnqDwdzNjHaPG46OJuLdF6w6e5FZYO61j7N5gQUv0Chrdu3cKNGzckChh269YNnTp1UnpwhJCGrWJxPUWPfYtuP0vLwd6LMTDU1UZLe1P0amUHZytjmBvqYGzvFnCyKt/fI6v7uqhic25CNPoHjEJBbvnSFpfLxYIly7BmxffYdf4RBpkbVCpCyOUAU/w8cbOKqsyi5TjxDdMVkzjxo/eiWkXP0nPhamVcaSNzQ9trQYg6KJz4ZGRkYOjQoQgPD4eTk5PEHp/Zs2eje/fu+PXXX2Ftba2yYAkh6qGKD1zRvpvj1+KR+DoP+77po9Cxb1GiUFjCx6mbCezylXgS1dLBHM1tTdnbsrqvCwQCzJgzH5F/HgHzbmnLwcEBx48fR8+ePcEXCNkN0RVno9o4WcBWSkIESM7siJbnRERJW0FxGbupWdSOAiif8WlhZ4qIuAycvPEMJXwhmloYwL+Hu0J7LeTtq7LXsYeHvofCzyOkoVE48Zk2bRoEAgFiYmLQsmVLifuePHmCiRMnIjAwECdOnFB6kISQcuoqDaDszY3SatXsvvBIak2egHfLRpvORKOl/ftE4Z+HyVg8zBtxqTmwNtOXKG4ovtx05VEKPmjjUClxKc55g/snf0D2y0fsmG+vvmjzxRz8GF6Ak3HhGNnDDZ92cgZQeTaKXXZTcHkOkJzdEd/TU7HQIIfDqXQKTFHyEtFAh0Cq1UOqpaGVJFE48blw4QKuXr1aKekBgJYtW2LHjh10nJ0QFWsoyxnSatWEx6Zhzck7mDagtcQSD18gBJfDwcIhHdjbHA4HPT3tEBGXAVcr4yqbgLZztgQgmbi8fnobD09tRVlh+UZqHo+Hr+csRpxhJ7zMBQCBxFKYt2uTShuO2WU3Octzxnpa0NfhSSRxyW/z0dTSCBwOR2ahwZoWICRE2RrK7x0Rhf9l6erqIje38mkLkby8POjq6iolKEJIwydrpkQgEFYaYxgGr97mY+e5Bxj+41/46c8H0NHiITI+A7bmBgiRUfAvJikTpgY64AuEGNnDDYyAj6cXDuLukZVs0mPn0BT//fcfeB79gQonU0XNS3W0eeyGY08HM+jr8MAXCFFYwsfIHm6o2BhCfGbn24/b4syCAdg2sTt8mluBy+HAztywRu0kCCG1p/CMj7+/P8aNG4etW7eiX79+MDExAQDk5ubi0qVLmDNnDkaOHKmyQNevX49Tp04hNjYW+vr66NatGzZu3CgxA1VcXIy5c+ciJCQEJSUl6N+/P3bv3s3uRyKE1JyjriNbHVhEVDtmV/IuPCt6hvSydPY+eft/Ks6UdPewxdJ3J6/WnZI8edXF3RpNLY0wumcLGOvrIDWrEABQUlaeJElLorp72LK1dB4lZaKfmwFSf1+DF3ff99rq2bc/TocdhaWlJTZcOS81TrZoIMOgU3Mr+IotPwkEQnSRUQla1DJDnGgWR/S/tFmZkLqncOKzZcsWCIVCBAQEgM/nQ0envONxaWkptLS0MGnSJPz4448qC/TKlSsIDAxEp06dwOfzsXjxYnz00Ud4/PgxDA3LfxnPnj0bf/zxB06cOMF2jP/iiy8QHh6usrgIach2Je9CoEMgbLRtsMVti8zHifaMfBP3DW7l3ZJ7XdEMjGiPD5cDfOXnWeWSlbutCeLTcjG2dwvkF5cBkN14tOL10mMjMP237SgqKJ/l0dbWxqZNmxD47XSkZhfBUso1RERLVrHJ2fBsas5Whn6akoNHrzLx9UetK+3HSc0qRPA/sWxxQlmqu3eqoe21IEQdFE58dHV1sWfPHmzcuBGRkZFITy//y87W1hYdO3ZkZ4BU5fx5yb/GgoODYW1tjaioKPTq1Qs5OTk4cOAAjh07hr59+wIAgoKC4OnpiZs3b6Jr164qjY+QhkjUpbu5fnMA8mco9rjvweBHg5FUklTldUW1akQzJUZ62gqdkNp0JhoMgPbOluBX0XhUdOJqzYlbiDm3D4k3fmOvZ9LEDrNX78Csr4fhUVIm5h+6gYOBH8htXnrqZgLmfGYCCyM99Gplj16t7JGWVYj/YlLhaGkksSeHA6C7p12l4/qi95ABg7Wua6t8j6ShWSBCaq/adXxMTEzYxEKdcnJyAAAWFhYAgKioKJSVlcHPz499jIeHB5ycnHDjxg2ZiU9JSQlKSkrY21XtYyKksSkSFAF4P6OjyAxFM91mVSY+omRA2skleSekzI30EHotHr4tbPA6twhd3K3xNDWnUsG/tk4WSEhIwNHVU5H96il7HetW3dD68xmIzimv7xP57DUEDLD3YozMLu9d3K1x8sZzLH63DFfx5Ngw32Z4mpqD3ecfVVqek4aplNoRQupStRKfN2/e4ODBg1ILGI4fPx5WVlYqCbIioVCIWbNmoXv37mjTpg0AIC0tDTo6OjAzM5N4rI2NDRurNOvXr8fKlStVGS4h9VZ6WToGPxqM1gatFZ6h0Ofpy7xPvHaPqH/VV+/6V3E4HIUKGIqSIENdbTxNzYGpvg64HI7E/ptTp06hw+CJ7B9IHJ4WWg6YDMfOg8pf5931tMQ2M+cUlFZKxDLzyvtwTaliGW6Fvw+crYzxNCUbQkZyvJ2zJXS0uBKzPjWZ6SGEKI/Cp7pu376NFi1aYMeOHTA1NUWvXr3Qq1cvmJqaYseOHfDw8EBkZKT8CylBYGAgHj58iJCQkFpfa9GiRcjJyWG/kpKqnqInpLFJKknCi+IXtb4OXyBkW0nEJmejuEyAmFfZmBN8AxFxGey+H2knpMQLGIqSFgNdLew+/wgTdv2L+Ydv4LfbL1BYVIQxE7/C0KFD2aRH38IOXab8CKcun4DD4bDXKyzhY2RPN0zq54Glw7wRm5KNeYdvYMmxWzh0+QkeJWXCzEgXTlZGVZ4cC7kWDztzA7Rxsqg0bqCrJZH0LE1YitExo7EkYUmt309CSM0oPOMzffp0DB8+HD///HOlY5gMw+Drr7/G9OnTcePGDaUHKe7bb7/F2bNncfXqVTRt2pQdt7W1RWlpKbKzsyVmfdLT02Frayvzerq6unQMnxAlElUGrrjhVlS7h8MB2jqVN+cUbRSOjM9A1xY26FxhyUp8uWnNyTtgmPKkJbewFCYGOniRkQchAzxOysSIdibo4NMFTx8/YF9zhL8/pny3Bmej0ytdb+3JO/iwfVMM7uwitQ/X8f/isdzfB5/6lBcwrE6hQgAo4QsqPbbiUiFtViak7imc+Ny7dw/BwcFSa09wOBzMnj0bHTp0UGpw4hiGwfTp03H69GlcvnwZrq6Svxg6duwIbW1tXLp0CUOHDgVQXlE6MTERvr6+KouLkIZM9AEsOrauiKoqA9uaGWDREMkO6WlZhYiIzwAAnI5IwKc+zhJHxt/kFmHTmWhk5Rdj83hfeDY1x4MXb9HetQlcrI1haayHpkUx6NdrJPLyypMQrpY2PD6eilZfjEMbV3v4ebux10vNKsSak3cQHpsGc0MddG1hI3M2R7SpGlC8jxgA2FsYYM9XvWS+RwXCAgC0WZkQdVA48bG1tcWtW7fg4VG5xwtQ3rxUlfVyAgMDcezYMfz2228wNjZm9+2YmppCX18fpqammDRpEubMmQMLCwuYmJhg+vTp8PX1pRNdhNRQxQ/m2s5QLBjiValDekAPN3ZWZUgXV0TEZSAyPgNOTYzRp7U9mpjoY+GQDhInpNq7NgFfIMT0/i2xaeViLN+3j30NgyZN0X7EAhjbuuL6k3TcfJqOjs2ssGZUZxy9GocjV5+yTUNL+LLrAAHvZ3MEQqHMPmIBPdyQkVOEolI+3GzLT7c6WpaX2NiVvAsppSmw1LLEHMc57POSSpIw+NFgti6Si54L7f0hpI4onPjMmzcPX331FaKiotCvXz+JJqWXLl3Cvn37VFrHZ8+ePQBQqS1GUFAQxo8fDwDYunUruFwuhg4dKlHAkBCiHLWZoRD15xJfUrI01oOrlTFb6I/L4cDVyhh/33uFs1GP8PNfjzCyhxvG9G4hsSnaxdoY3eyBdQum4f79++xrtOzaHw79JkNL9/0GayEDtu5P9Is3Ep3SdbWk1wESEc3mcDmcSifHRC0oRA1Gd07uWen5VfXEknXybWvSVsx2nC3zeYSQ2lE48QkMDESTJk2wdetW7N69GwJB+fo1j8dDx44dERwcjBEjRqgsUFHn5Kro6elh165d2LVrl8riIKSxE81iVNREq0mVH9gV+3OJV2quOAO0dJg31py8gxtP0vBRe0fcrLAH558/T2PX/+2CoLR8eYmrrYvNW7ah84eDsSosSuqsjGhztPi4j5s1ygRVz+aUCYSIevYaf997hSl+nhJ9xApL+Cgq4cNAT1spVZjnPJuD9NJ0+Q8khNRYtY6z+/v7w9/fH2VlZXjz5g0AoEmTJtDW1lZJcIQQzVObzt6iJaWqKjWvfFepeYqfJ/KLSyUKGwpKixHzx89IuXuRvWarVq3QefRi5Np4oGsLG6nd3UX1flram1UaFwoZubM5x6/FIzY5G9efpKGN2MZsvkCIrRPKEyHRxuWKrT3E6/Z0M+kGG20bidYewPulQkp6CFG9ahcwBMrLvdvZ2Sk7FkLqrfrSc0ndcX7R1RUPEzPB4UChSs3t33VWf5GRh/yMl7gXuhEFrxPZxzp1/BC3rpzGjgtPcflRCtacvINvB0p2d0/LLsQ/D5Lh29K2Utf3Mr4Qm85EQ4jyREz8/je5Rbgd/xqd3a3ZhE3IAPdfvp810tfhScTuqOuIM63PyPz+5SWNBcKCSv3QGgN1/1ySxqVGiY80z549w5QpU/DPP/8o65KE1BvV7bmkLuqKU7QxeVyf8qbCWfnl1dIdLY2go8XFw8RMib03bGNQcMAwDAqfXsXNI1sgLCt/Hk9HD56fTEO/QV/A0NAQWe9OVIXHpuHGkzSM7OEG/+5u0NXmwdbMALZmBsgpLEEpnwMdrfJkRYvHBR9CDO/eHHvOP8K3+6/iwLS+yMgtwr6/H+NRUib+N6MfAPl7gERESYu8D/IlCUvwovgFu6l5ScISPCp8hKSSJHjoSz9A0pDVl38/pGFQWuKTn5+PK1euKOtyhJAGomK1ZvGWDvM+bw+g/Ej73osxCI8tP60pSijS32Ri9JdjcPHYUfZ6RjYuaD9iAYysHBHQww18gRBfdG2GUr6QXaZqYW8GHS0uBAIheO9Ogpno6yAiLkNqHOIzPYevPIG5kR4+8XGBhbEe3uQWy+zjFdDDDXlFpTDW15H4nuV9kNvr2LPtQAghdUvhxGfHjh1V3p+cnFzrYAghDYvoJNcKGR3XXa2MseHMXfh3f7+h+XpsGgJ6uOHO3WjsXTwOT548Ya/XpvfncPGbgOb2Td7v3UnJrtRq4k1uEZ6m5sDdzhTH/4vD8G7N2Tg4HLD7dE7dfA4AcLM1xfP0XHg3a4LpH7eV+B72XYzBgiFeMgsrSqttJk/FJS/RUfY58XNgwDOQ9hRaDiJESRROfGbNmgU7Ozvo6OhIvb+0tFRpQRFCGoaKJ7lExPfxaPO47Ibmaf1bwa+dA6L/PYPp02eAX1b+e8XIyBg///IzRo8axV6DLxAir7gM9haGiHz2GqduPoe5WDVohgGW+/tgoLcTG0c3D1t85ecpUUDxTW4xmpjowcJYF7fEZoT82jlg+sdtkZZdXvBQ2h4g8aTHVc9V4QakoRmh8Lf2Z0/I2evYI9AhEFvctsh8Di0HEaIcCic+zs7O2Lhxo8wj69HR0ejYsaPSAiOENAyKtHoQJUKrhrXFj0tm4PSvJ9jHtWjVFr/9egItW7bA46RM3H72Gk9TclBQUoaA7uWzLo+SMnFPbNOxiHjlZVszA5kFFC2NdZGWXSgxM/XnnUQM923OHnW/IXaiKyu/GF90bQYzQ122qKIisy422uWzUv7W/gBqdkKu4qmx6lTVJoRUI/Hp2LEjoqKiZCY+HA5HoVo7hDRE9aXnUjeTbpU+KIsERTKXV5RB0VYP0dF30XH9eMTHx7OPcew8CB9NmgM3d3e2wan4bxlRF/RB3s44eeO5xAZpQHyTNGR2WF/57hoeDmbgcADRrzEhA+y9GIOlw7zZI/JxqTlwsRJKHHWvDlHn+pouW8k7NVZf1Zd/P6RhUDjxWbVqFQoLC2Xe36pVKyQkVP6HTEhjUF/2WNSmBk9N8KsoDijquP7g5VskRvyBuAsHIOCXV1jW0jNE689nwKZ1d5gaGVW5ZBbyblanjZOFxFFz4H1ylVtYiiYmelh9Mqpa1wiPTcOmM9GY91l7iT1EfIGwyqRH1ge2vY49APnLVqJTXxUTIUVPjdU39TFmUn8pnPi0atWqyvu1tbXh7Oxc64AIIcqnrg9KLR4XXdytKxUVFG0MXnLoCu6GrEfG4+vsc0wd3NF2+AIYWNgCAFrYmwKQv2RmWaE7uii5epNbhFKBkO3mXtU1KnZYB8pPnImWs8S/r6rU9j19UfyiysSI9vsQUnNKO85OCFG9miYw6vyg5HA4lU5dFZbwsXz3CexYNhOFmWnsuO/HI2HoMwJcrfJq8BwAPs2tAMhfMvuskzPSsgulVl7OzCtW6BpZYh3WRa8vOjIvLdmR9t/DRtsGzfWbI9AhELuSd+F67vukrjbNSKuzeZoQIlu1Ep+YmBgUFxejQ4cOAMpr93z99df477//4OPjg927d6u0QzshjV19/UtfPGng8wXYs+snbFy4AGVl5UtbZmZmOBgUBNtWvpWOjHs0Na9yyUyUmLSwN5M4dVVUysfpiATceJqOx0mZODDtgyrr8fAFQozq6Q5r01dIySqEvbkBPvJyRFsnC5nLWtL+e8QWxSK9LF3py4q0HESIclQr8Zk9ezYGDhzIJj6rV6/GrVu3MH/+fBw9ehSzZs3C8ePHVRIoIUSzVZwVkTZL8vbtWwwf+SX+/fs8O9a1a1eEhITgWFQmfK2MJZKX1KxCbDoTjYVDOlS5ZCZkGPC45a8lFArB5XKx6GgEYl5ls9cSbVSWVY9HKGTg5doEXq5NlPaeBDoE1vm+KkJI1aqV+Dx+/BgrV65kb584cQI//fQTBg0ahA8//BA9e/ZUeoCEEM3HMAwSMvJw/m4i/nmQDCer91WRRbMl166FY9SoUUhKet9ra/rMOej42SQ4Ozsj7dIrTNj1L9o6W6C9cxMADO69fIsyvhAAcO5OIvq0cai0ZAaATXoYhsGz9Dy425kiIV1yP094bBrWnLyDqR9W7rAOgK3wrOz9UKKNygDgbeSNuY5z5Z5istGxqZcze4TUBwolPhMmTAAApKen48cff4SRkRHy8/ORmJiI0NBQ/Prrr2AYBpmZmZg4cSIA4ODBg6qLmhAi1ZKEJeCAU6fLIqKZHXc7U7jbtcVw3+bYezGGPWru7WqJ7du2YvHixeDzy5MMHQMTDJjyPUZOG4Mu7tbIzC9vC3Hx3itMESswOBpAcakA+cVluPw4BbvPP8Smsb5o6WAGHpcLHS0um1iJqkSfuvkcm8b6St3PEx6bhqz8YrajOgCJawDVW06UVUOn4niBsABJJUlsHR95/32a6jSFh75HtY950/FvQuRTKPEJCgoCAFy/fh3Dhg2Dv78/9u/fj5cvX+Lw4cMAgLS0NJw9e5YSHkLUSDSzUJGqPiil9eEK6PG+/UTQuUis/ms3/vzzT/Y5Zk6t0G74dyg2bcJWbPawN0MXd2t0dbfGzXcFBm3NDDDFzxNNTPQA8LBpjC/Ssgrx552XaOVoAUBy75DoyPvTlGykZRVK3c/jYGGACX09JJbh5J3QqooiG5VFjxn8aDDSy9IBSM4CiRNtfp7jOKfSfUsTlqJQUIgtbltovw8htVCtpa6RI0di0qRJOHjwIK5du4adO3ey9/3333/w8vJSdnyEEDE1TWBU8UEpqw+XKJlpZ5iJ9cvGoTj3bfmdHA5cew5H8w9Gg8sr75Au3roit7AUj19lYWVoJLp52LJVllefjJJIqsb3ld29/EVGnkThQfH9PD7NrbB0mGLV5StWRwakz+7IWxbblbwLqaWpWOO6Bq0NWr+PU85xdWlEM1GDHw1Ga4PWWOu6lm15IU5UkFITk6OGVn+I1E/VSnxWrFgBR0dHREdHY8KECQgICGDvS0lJwZw5lf9KIYQoj7wPhwJhQaUPbFWRVVRQKBRi7qJluPXbAQgEAgCAlZUVmn8yEyauXpWuI6qhY2Kgg+PX4sHhAF9VUWV5ub8POjW3ghaPW2kDtWh5S7Sfp2J/LQDYmrQVsx1ny/y+bLRtquyZJU7estiz4mdILy2f5anpMfaKkkqS2P/G13OvS319D33ZyaE61ddTiaRhqXYdn0mTJkkdnzlzZq2DIYRUJvor2UbbBvo8fbahZcXlEtE+ElV/6IknGxULApbkZ+Phr5vx9tlddqx37z44fvwYNpx7XmUNHdH12jhZwNbcAOtP35XZ3NS3hQ12nnsAn+bW7Abqikfew2PTcONJGj5obY+AHm5wsDAEj8eFDre80bJotqRIUIT0snR2mam2bSXEiZIeWajvFiF1jwoYEqLhRH8li/5S9tD3QKBDYI2WS2pLtKfndnwGpn/cVmIDcebz+7h/8geU5mcBKC9c+P3332PZsmVgwMHIHlyZrStyCkpgaqgLF2tjtnqyvCrLeUV8dgO1z7sZoIpH3n2aW+G7IR0kni86Xi5+zHzwo8FsEtlKv7xKvbJnJ5YkLAHwfuanofbdIkTTUeJDiIarOAsgui1vv4+sasM1Jb6nh8MBhvs2R0APN6w4HoFnV0Lx7HIIwJQfPbe0ssbxo0fx4Yd+7POl1eERr65cyhdgZA83nLr5vPz7VKC5qajPluiIu7Qq0YD82Ztmes0gyshG246u7VsllfjsnHgVZlXue6lYOVqZ1yakvqLEhxANJ2tviLwPLmUmPaLrifb0dGtpC11tHpyNBHh7/gc8u3mNfVynbr3w+6+hsLW1rXQNLxdLiaTkTW4xTkUk4ObTdJjo62DJMG92XFaVZVFz04eJ5c1ExTuwi+KsyE7HDgwYFAmL2OWnAmEBm3Bsaa7Ynp7aKhAWAJD8b6fozJJ4oqvoklhKaQrtqSGkAkp8SL3UGE6HKHJiKNAhEBtO3UHS2wKJxwgZBnu+6qX0mF5k5KG7hy2WDvPGT8En8P2cacjLLj+1xeVysWrVKsz/bgF0tCV/tYhmi648TMGCLzrgx9/uIT2nPHkRimU2ok7oWjwuLI11ZVZqXnPyDvs88T1Cssiqnrzu5Tr2/4v2/LQzbAd/a3+F3g95s24uei7g4H2NoKSSJAx+NBiGXMNq9+2S9nMt7/XtdezhqOuIpJIkhV9Hlaj+ENEElPiQeqkxnA6R9z2KjjEnvS1AfFquxH2eDmYqicnVxhhff9gSk6bNQfAv2wGmPPswMmuCUXPWY8jYL8DlSs64MAzDzhbpaHHfxZwvdRlLvBO6tGWr1KxCrDl5BwkZuXCzNQEHwMR+knV5liYsBQMGa13Xyk0eFzsvZsdq0lpCXpItntiIZnuUmYTIe31Ry4zBjwZrRPLTUP4oIfVbtRMfgUCA4OBgXLp0CRkZGRAKhRL3//PPP0oLjhAim72OPQCIzSeAvV1VR/Ga4guEGNmxCYZ99jH+++8/dryJe0e0+WIOXsAUe/+OkTg+zhcIkZBR3kLiRUYeSvkCmcUFpcUtHj/DMHj5Og9cDhAU+IHMOMUTHUUSZPHkSPwoe01mJ0IzQvGm7A0AoERYAmtta3xp+yU2J22GIddQ4sSdostVsvbp+Bj5sMfy5dXzqasSB4TUB9VOfGbOnIng4GAMGjQIbdq0kdm1mBCiWqIZisl+ngj+94nUDcPVVVWj0b//uoAxY8bg7dvypS0Olwu3fmPh0v0LcN7N8kjbb3P+biLc7d6fABMVF9w83hdRz17jaUoOCkrK4N+9ctzir19xBqjibE51l45EZCVHNZmdkLVENtdxbrWvJaLIPp36Vs+HEHWqduITEhKCsLAwfPzxx6qIhxBSTW2cLCrNstQk6ZHWfmJkDzd4u5jj+++/x6ZNm9jHGllYo9UX82Hm5ClxDWn7bf55kMyeAFsZGgkAyC4oQWtHC7R+13qCLxCCA+Bpag52n38k8friyZB4UpZQnKCygo1z4uew7SUkvj8Fk6tdybsAlCenspbbupl0Q6BDYJ3se6k4u0R7akhjVu3ER0dHB25ubqqIhRBSAxWXs2qyvCWr/cSCX/5E5r+78fBuJPvYjwZ8jDkrN2PrhWdyl6oAwMnKmJ3l2T6pO9ztTBERl4GQa1GVEpyw8Gfs3p/Y5OxKdXrEVafCcnWll6XXag/Z9dzrsNEpn5mSNaOkaMPSIkFRjeMQUVbVaEIagmonPnPnzsX27duxc+dOWuYiatMYTofU5fcorf1ERmwEHp7eCn5RPgBAW1sbGzduhHHb/viwU0uYmJmzfbDET1yJ/14QCIWY+qEn5h26gbUn72DBEC/cktKKYsW7VhST/Txx/Ukae2KrYp0ecRUrLNd0qasmNidtxp38O+ztiqcJbbRt5B6Rr9iwVFb80maeqqti8URCGrNqJz7Xrl3Dv//+i3PnzqF169bQ1taWuP/UqVNKC44QWRrD6ZC6/h5FlZKF/DLEXQzGy+u/sfe5uLggNDQU3h19EPnsNdaevIMpFfpgFZbwIRQy4PE47KwPj8tFK0cLnJzfH5cfJkNHiye1v5d4s9I2Tha4/zLzfVzv9g0JhELwuJVnsyrOqIgXB1RV8ngn/06VM0KipEwRdVGBW1oneEIaq2onPmZmZhgyZIgqYiGEqJGLtTHuPIxFwv9tRXL8I3b8iy++wC9796GJZfl+nC7u1gCAjWfuwlBXGy3sTeHT3AqeTc3B4XBk7hUa6O0EQH4rClHLCjaud/uGpCU94qQVB1Qkeexm0g0uei4oEhRVK2GpiqWWpcKPFe2/ES19VaRI8tYYZkAJUZZqJz5BQUGqiIMQIkVVp6yU/Tp2hU8Q+cssFBeWL21xtbTReuBkOHw8CvFvy2BpwYDD4UitryPaUC1rr9CqsEjs/qonXKxNFGpFISKq1JyWXQhbMwOJx4uO84tIKw4oOuZtqWWJOY5zpH7v0ur31DaR0OXqKvQ4QP7ykyLJm7zH2GjbwIBnUOVjCGksqIAhqZcaQ+VmWTMnNT2qLktJSQnmzZuHnTt3smP6FnZoP2IBTOzd8CQlp9ImY1kbqqXtFeruYYuv/Dxha25QqYO6iGhjdGEJH3yBEPo6PIl9Q8H/xGJiP8kTZNISlopF+kTHvEXHuhX9uZH3MySaXZKliXYTiWtLIxpfkrAEHHBU+nOrqk3ghNRHCiU+3t7euHTpEszNzdGhQ4cqf+neuXNH5n2EKEtDr9wsa+akqlNONREfHw9/f3+Jf7funfrB8cOp0NJ7P0MgvslYIBCCV8UslPhSlqi9RURcBtafvgtbMwMsGOIls1lpKV+IrRPe7xtKzSrE2pN38GH7pkqZ7arJz4340fQlCUvwqPCR3CrI4vV85CU0jwofUYFBQuqQQonP559/Dl3d8qnbwYMHqzIeQgikz5wAVZ9yqq7Q0FBMmTIFeXnliYquri62b9+OPzKdUMIXVnq8aA/O84w87Dz3UOYslGgpi8sBvvLzRITYKa7Y5GyUCYT4qsLGaNFSmY4WF4+TMhEpp7ChOGkzKhU72CtaJVkaUdXkQIdAcMCpVIFZVgzA+3pAoqU30QkukQJhAZJKkqjQICF1SKHEZ/ny5VL/PyFEdeRtAq6poqIizJ49G7/88gs71qJFC4SFhaF9+/Z4fDC8yj04+/5+LLPWDgB2KauNkwVszQ2w/vRdiQQuPDYNN56kYZC3E779uC0ASFRnbmFvhlbvChsC8gsyVjWjoqzlI2kbpxVRsR5QXZzgIoRUTfm7JAkhSuFiLb3ruCLdyGV58uQJunbtKpH0fPnll4iKikL79u3ZPTiy+n+9yS3Cg8RMiftEs1CivT9d3K2xwt8HbZ3KkxdpCZyQAS4+SJYaozIKMiqbaOP06JjR7JeoNg4hpH6hzc2EaCB5m4Brst/lyJEj+Prrr1FQUD57oa+vj507d2LChAkSLSFEiYu0PTgbTkezxQXFic9CVTz1Je8UV31Rk+7m1V1qq7gU1pA26xOiKSjxIfWSJtctUcYRdHkJSHVOdRUWFmL69Ok4ePAgO+bp6YkTJ06gdevWlR5f1XH1tOxCqa9RMYnR4nGx9PgtzP20vcKd2KurJif76vrnpmIc8l6flsIIUT1KfEi9pKl/BSvzCDqHw0EnN+kJiKIeP36MESNG4NGj9wUJJ0yYgJ9++gmGhtU7SSSo5ixUXlEZfjr3EEuHeWO5v49Ee4uadpBfmrAUDBisdV1boxNaNfm5UWayVNtj8oSQ2qtx4lNaWoqEhAQ0b94cWlqUPxGizCPo4i0fxG9XZ3YkODgY06ZNQ1FReZNLQ0ND7NmzB2PGjKnyeVUlb4rOQokv1a05eUfmKa7qkjbDo2p1kWQrekxeVRpDXSxCRKqdsYimzQ8dOgQAePr0KZo1a4bp06fDwcEBCxcuVHqQIlevXsUPP/yAqKgopKam4vTp0xLH6xmGwfLly7Fv3z5kZ2eje/fu2LNnD9zd3VUWEyEiyjqCXttZo/z8fAQGBuLw4cPsWNu2bREWFgYPj6qPTSuSvMlaBhNXcalu2r6r6NvGAf07OMHN1kQjNiwrQnQcvSJlN0R9UfxCbUkP0PDrYhEirtq/fRYtWoR79+7h8uXL0NN731PHz88PoaGhSg2uooKCArRv3x67du2Sev+mTZuwY8cO/Pzzz4iIiIChoSH69++P4uJiqY8nRNlqewSdLxAiIi4DK0IjEZucjeIyAZt4RMRlgC+oXF9H9DwAuH//Pjp16iSR9Hz11VeIiIiQm/QA8pO3qqo2VyTaK7RtYnec+m4Avv24LVytjZVadVrVRMfRK34pu+mni54LHHUdlXpNQoh01Z7xOXPmDEJDQ9G1a1eJX2CtW7fGs2fPlBpcRQMHDsTAgQOl3scwDLZt24alS5fi888/BwAcPnwYNjY2OHPmDAICAlQaGyFA7U8w1WTWiGEY3I7PwNJ1W3D52HYI+aUAACMjI+zbt6/aP/vKrB+kiUfTq6OuNkOLZo8qzjBpwmZ9Qhqaaic+r1+/hrW1daXxgoICtf4ll5CQgLS0NPj5+bFjpqam6NKlC27cuCHzl39JSQlKSkrY27m5uSqPlTRMyjqCXp3Egy8Q4sq95/hy/CSkPbjKjhvbNsOBQ0cwpF+X6n4b9eb4eV0kJTXd31Jxz4xoaUzeXhrqqUWI6lU78fHx8cEff/yB6dOnAwCb7Ozfvx++vr7Kja4a0tLSAAA2NpJ/EdvY2LD3SbN+/XqsXLlSpbGRxkFZR9Crk3g8uH8PQwd+hpyMV+yYY+dBaNF/EsJfCTG8mjMsqqgfpEyueq4oFJQfqa/LTbeiLu/iigTlm8alJSuy9szQXhpC1K/aic+6deswcOBAPH78GHw+H9u3b8fjx49x/fp1XLlyRRUxqtSiRYswZ84c9nZubi4cHWmtndRMVTVwFKFo4sEwDPbs2YPZs2ejtLR8aUtL1wCtBs+AbeseAGq+NKWs+kGqoK4TRqIu7xU1lB5bmlwXixBlq3bi06NHD0RHR2PDhg1o27Yt/vrrL3h7e+PGjRto27atKmJUiK2tLQAgPT0ddnZ27Hh6ejq8vLxkPk9XV5dtwEqIMtRmX4siiUdOTg4mT56MkydPss8zsXdHuxELYGBhy47VdGmqtsmbqkmbfQGAJlpNMNtxtkpes5tJN7jouaBIUNQg9+DQkXXSmNSoAE/z5s2xb98+ZcdSK66urrC1tcWlS5fYRCc3NxcRERH45ptv1Bsc0UiaWrukqsTj9u3b8Pf3R0LC+7j9x32FTOeB4Ghpv78Garc0pcmbkgMdAuU+RtnJkSKvSQipH6qd+Pz555/g8Xjo37+/xPiFCxcgFAplnrpShvz8fMTHx7O3ExISEB0dDQsLCzg5OWHWrFlYs2YN3N3d4erqiu+//x729vYStX4IEdHk/RYVEw0el4Pt27dj/vz5KCsrAwCYmZkhODgYn332GSLiMjRyaUpdapOoaGpCTAhRjmonPgsXLsSGDRsqjTMMg4ULF6o08YmMjMQHH3zA3hbtzRk3bhyCg4Px3XffoaCgAF999RWys7PRo0cPnD9/XqLeECH1TWZmJiZOnIjffvuNHevatStCQkLg7OwMACpfmqpu/zFlJA81vUZtX1sZCXHFJTBRk9K63EtDCRwh0lU78YmLi0OrVq0qjXt4eEjMxqhCnz59wDBSWkO/w+FwsGrVKqxatUqlcRBSV27evAl/f38kJiayY/Pnz8fatWuhrf1+aUveUlRtTmPVpJK0MpKH6lyjtj28lE1WYlGXCYcmvA+EaKJqJz6mpqZ4/vw5XFxcJMbj4+Or3fSQECKdUCjE5s2bsXjxYvD5fACApaUlDh06hEGDBlX5XGU2SlVm/zFVUkcPL0JI/VTt31iff/45Zs2aJVGlOT4+HnPnzsVnn32m1OAIaYzevHmDzz77DN999x2b9IhOU8pLemra8kIWRVpYEEJIfVLtGZ9NmzZhwIAB8PDwQNOmTQEAr169Qs+ePfHjjz8qPUBCVEUTa5dcu3YNAQEBSE5OZscWLVqEVatWQUtL8p9rxeUrwbvbymiUKo7L4cDewgApmYUS4zWpE0QIIepWo6Wu69ev4++//8a9e/egr6+Pdu3aoVevXqqIjxCV0aQNnkKhEBs3bsT3338PgUAAALCyssL//ve/SicoAenLWd8ObAN3O1Ol9toCgK0TugEAJuz6FwBgoFP+a8PVWrNaWCiLJibEihLf60QIka5GdXw4HA4++ugjfPTRR8qOhxCNVd2TTYrKyMjAmDFj8Ndff7Fjffr0wdGjR2Fvby81Dmn7bvb9/RibxvrWuNeWvFNAzk2MsMK/k0LfkzKSh5peo7avraz+XIDiPbqURfw16nMCR4gqKZT47NixA1999RX09PSwY8eOKh87Y8YMpQRGiCZR5oZhcZcvX8aoUaOQmpoKoPyPiu+//x7Lli0Dj8eT+hxZy1kPEjPxJre4xr225J0CamZjAkCxY9LK+DCvzjXU1cNLXFXvX12esCoQFgDQrBlNQjSJQonP1q1bMXr0aOjp6WHr1q0yH8fhcCjxIQ2OKk42CQQCrF27FitXroRQWL7h2NbWFkePHkXfvn3lPl/acpaQAfZfisGCwV4q6bU1tk9LAJp5TJo+5N9LKknC4EeDYch9f8pWNPNECFEw8REvjy/+/wlpDJS9YTgtLQ2jR4/GP//8w475+fnhyJEjsLFR7FqylrPSsgo1vtcWUb2kkiR1h0CIxqrWn6llZWVo3rw5YmJiVBUPIRpJWRuGL168iPbt27NJD5fLxZo1a3D+/HmFkx5RB/eKaUxVy1l07JwQQspVa3OztrY2iouLVRULIRqrphuGRfh8PlasWIF169ax1cft7e1x/Pjxap+IVKSDe0NH7Rikow3NhMhX7VNdgYGB2LhxI/bv31+prgghDZFohqUmG4YBIDk5GaNGjcLVq1fZsQEDBuDw4cOwsrKqUUyqWM6qTx+amrjPSNr7VNc9uhpz0keIoqqdudy+fRuXLl3CX3/9hbZt21ZqU3Hq1CmlBUeIJqjNDMv58+cxZswYvHnzBgDA4/Gwdu1azJ8/H1xu7ZaflL2cpeiHZn1KkOpSVe8fJSSEaI5qJz5mZmYYOnSoKmIhRGNVd4alrKwM33//PTZu3MiOOTo6IiQkBN26dVN5vKpEH+KEkPqs2olPUFCQKuIgROMpOsOSmJiIkSNH4vr16+zYp59+iqCgIFhaWqo0RlIZ7QcihIhTOPERCoX44Ycf8Pvvv6O0tBT9+vXD8uXLoa+vr8r4CKlX/u///g/jx49HZmYmAEBLSwsbN27E7NmzG8WmY02kifuBCCHqo3Dis3btWqxYsQJ+fn7Q19fH9u3bkZGRgYMHD6oyPkLqhdLSUixatAhbtmxhx5ydnREaGoouXbqoMbKGifYZEUJqSuHE5/Dhw9i9ezemTp0KoLweyaBBg7B///5ab9IkpD5LSEhAQEAAbt26xY4NGTIEBw4cgLm5uRojUz1lLSNV9zq0REUIqSmFE5/ExER8/PHH7G0/Pz9wOBykpKSgadOmKgmOEE136tQpTJw4ETk5OQAAHR0dbN68GYGBgY1iaUtZy0i0HEUIqSsKJz58Ph96enoSY9ra2igrK1N6UIRoupKSEsybNw87d+5kx5o3b47Q0FB07NhRjZERQgipisKJD8MwGD9+PHR1ddmx4uJifP311xK1fKiOD2no4uPj4e/vjzt37rBjI0aMwN69e2FqaqrGyIg0tB+IECJO4cRn3Lhxlca+/PJLpQZDiKYLCwvD5MmTkZdX3qNLV1cX27Ztw9SpUxvF0lZ9RPuBCCHiFE58qH4PacyKioowZ84c/Pzzz+xYixYtEBYWhvbt26sxMkIIIdVBzbYIkePJkycYMWIE7t+/z46NHj0ae/bsgbGxYk1KGyplLSPRchQhpK5wGFGraAIAyM3NhampKXJycmBiYqLucIiaHT16FFOnTkVBQQEAQF9fHz/99BMmTpxIS1uEEKJBFP38phkfQqQoLCzEjBkzcODAAXbM09MTYWFhaNOmjRojI4QQUhuU+BBSwePHjzFixAg8evSIHRs/fjx27twpcYKREEJI/UMllwkRExwcjE6dOrFJj4GBAQ4dOoSgoCBKegghpAGgGR9CAOTn5yMwMBCHDx9mx9q0aYMTJ07Aw8NDjZERQghRJprxIY3egwcP0KlTJ4mkZ8qUKbh16xYlPYQQ0sBQ4kMaLYZhsG/fPnTu3BmxseV9ooyMjHDs2DHs3bsX+vr6ao6QEEKIstFSF2mU8vLyMHXqVBw/fpwd8/LyQmhoKFq0aKHGyAghhKgSzfiQRufu3bvw9vaWSHqmTZuGGzduUNJDCCENHCU+pNFgGAa7d++Gr68v4uPjAQAmJiYICwvDrl27oKenp+YICSGEqBotdZFGIScnB5MnT8bJkyfZsY4dOyI0NBTNmzdXY2SEEELqEs34kAYvMjIS3t7eEknPzJkzER4eTkkPIYQ0MpT4kAaLYRhs374d3bp1w/PnzwEAZmZmOH36NLZt2wZdXV01R0gIIaSu0VIXaZCysrIwceJEnDlzhh3r0qULQkND4ezsrL7ACCGEqBXN+JAG5+bNm+jQoYNE0jNv3jz8999/lPQQQkgjR4kPaTCEQiF+/PFH9OzZEy9fvgQAWFhY4OzZs/jhhx+gra2t5ggJIYSoGy11kQbh7du3GDduHP744w92rHv37jh+/DgcHR3VGBkhhBBNQjM+pN67du0avLy8JJKeRYsW4fLly5T0EEIIkdAgE59du3bBxcUFenp66NKlC27duqXukIgKCIVCrF+/Hn369MGrV68AAFZWVjh//jzWrVsHLS2a0CSEECKpwSU+oaGhmDNnDpYvX447d+6gffv26N+/PzIyMtQdGlGijIwMfPzxx1i8eDEEAgEAoHfv3oiOjkb//v3VHB0hhBBN1eASny1btmDKlCmYMGECWrVqhZ9//hkGBgY4ePCgukMjSnLlyhV4eXnhwoULAAAOh4Nly5bh4sWLsLe3V3N0hBBCNFmDSnxKS0sRFRUFPz8/dozL5cLPzw83btyQ+pySkhLk5uZKfBHNJBAIsGrVKvTt2xepqakAABsbG/z9999YuXIlLW0RQgiRq0ElPm/evIFAIICNjY3EuI2NDdLS0qQ+Z/369TA1NWW/aDOsZkpLS0P//v2xfPlyCIVCAEC/fv0QHR2Nfv36qTk6Qggh9UWDSnxqYtGiRcjJyWG/kpKS1B0SqeDixYvw8vLCpUuXAJTP4q1evRoXLlyAra2tmqMjhBBSnzSotYEmTZqAx+MhPT1dYjw9PV3mB6Suri71bNJQfD4fK1euxNq1a8EwDADA3t4ex44dQ+/evdUcHSGEkPqoQc346OjooGPHjuzMAFB+5PnSpUvw9fVVY2SkupKTk9GvXz+sWbOGTXoGDBiA6OhoSnoIIYTUWINKfABgzpw52LdvHw4dOoSYmBh88803KCgowIQJE9QdGlHQ+fPn4eXlhatXrwIAeDweNmzYgD/++ANWVlZqjo4QQkh91qCWugDA398fr1+/xrJly5CWlgYvLy+cP3++0oZnonnKysqwbNkybNiwgR1r2rQpQkJC0L17dzVGRgghpKHgMKJ1BAIAyM3NhampKXJycmBiYqLucBqNpKQkBAQE4Pr16+zYJ598guDgYFhaWqoxMkIIIfWBop/fDW6pi9Q/Z8+ehZeXF5v0aGlpYfPmzfj9998p6SGEEKJUDW6pi9QfpaWlWLRoEbZs2cKOOTs7IzQ0FF26dFFjZIQQQhoqSnyIWrx48QL+/v4SDWQHDx6MgwcPwtzcXI2REUIIachoqYvUudOnT6NDhw5s0qOjo4MdO3bg1KlTlPQQQghRKZrxIXWmpKQE8+fPx08//cSONWvWDGFhYejYsaMaIyOEENJYUOJD6sSzZ8/g7++PqKgodmz48OHYt28fTE1N1RgZIYSQxoSWuojKnThxAt7e3mzSo6uriz179iA0NJSSHkIIIXWKZnyIyhQXF2POnDnYs2cPO+bu7o6wsDB4eXmpLzBCCCGNFiU+RCWePn2KESNG4N69e+zYqFGj8PPPP8PY2FiNkRFCCGnMaKmLKN2xY8fQsWNHNunR09PD/v37ceTIEUp6CCGEqBXN+BClKSwsxIwZM3DgwAF2zMPDAydOnECbNm3UGBkhhBBSjhIfohQxMTEYMWIEHj58yI6NGzcOu3btgqGhoRojI4QQQt6jpS5Sa4cOHYKPjw+b9BgYGCA4OBjBwcGU9BBCCNEoNONDaqygoADTpk3D4cOH2bE2bdogNDQUrVq1UmNkhBBCiHQ040Nq5MGDB/Dx8ZFIeiZPnoyIiAhKegghhGgsSnxItTAMg/3796Nz586IjY0FABgZGeHo0aPYt28fDAwM1BwhIYQQIhstdRGF5eXl4euvv8axY8fYsfbt2yMsLAwtWrRQY2SEEEKIYmjGhygkOjoaHTt2lEh6vvnmG9y8eZOSHkIIIfUGJT6kSgzDYM+ePejatSvi4uIAACYmJggNDcXu3buhp6en5ggJIYQQxdFSF5EpJycHU6ZMwYkTJ9ixjh07IjQ0FM2bN1djZIQQQkjN0IwPkSoyMhLe3t4SSc+MGTMQHh5OSQ8hhJB6ixIfIoFhGOzYsQPdunXD8+fPAQBmZmY4deoUtm/fDl1dXTVHSAghhNQcLXURVlZWFiZOnIgzZ86wY507d0ZoaChcXFzUFhchhBCiLDTjQwAAERER6NChg0TSM3fuXPz333+U9BBCCGkwKPFp5BiGwebNm9GjRw+8fPkSAGBhYYHff/8dP/74I3R0dNQcISGEEKI8tNTViL19+xbjx4/H2bNn2bFu3bohJCQEjo6OaoyMEEIIUQ2a8WmkwsPD4eXlJZH0LFy4EJcvX6akhxBCSINFiU8jIxQKsWHDBvTu3RuvXr0CADRp0gTnzp3D+vXroa2treYICSGEENWhpa5GJCMjA2PHjsWFCxfYsV69euHYsWNwcHBQY2SEEEJI3aAZn0biypUr8PLyYpMeDoeD77//HpcuXaKkhxBCSKNBMz4NnEAgwLp167BixQoIhUIAgI2NDY4cOQI/Pz81R0cIIYTULUp8GrC0tDR8+eWXuHTpEjvWt29fHD16FLa2tmqMjBBCCFEPWupqoC5dugQvLy826eFyuVi1ahX++usvSnoIIYQ0WjTj08Dw+XysWrUKa9asAcMwAAA7OzscO3YMffr0UW9whBBCiJpR4tOApKSkYOTIkbh69So79tFHH+F///sfrK2t1RgZIYQQohloqauBOH/+PNq3b88mPTweD+vXr8e5c+co6SGEEELeoRmfeo7P5+P777/Hhg0b2LGmTZvi+PHj6NGjhxojI4QQQjQPJT71WFJSEkaOHInw8HB2bNCgQQgODkaTJk3UGBkhhBCimWipq546e/YsvLy82KRHS0sLP/zwA37//XdKegghhBAZaManniktLcXixYuxefNmdszZ2RkhISHo2rWrGiMjhBBCNB8lPvXIixcvEBAQgIiICHZs8ODBOHjwIMzNzdUYGSGEEFI/1JulrrVr16Jbt24wMDCAmZmZ1MckJiZi0KBBMDAwgLW1NebPnw8+n1+3garImTNn0KFDBzbp0dbWxvbt23Hq1ClKegghhBAF1ZsZn9LSUgwfPhy+vr44cOBApfsFAgEGDRoEW1tbXL9+HampqRg7diy0tbWxbt06NUSsHCUlJfjuu++wY8cOdqxZs2YIDQ2Fj4+PGiMjhBBC6h8OIyrvW08EBwdj1qxZyM7Olhg/d+4cPvnkE6SkpMDGxgYA8PPPP2PBggV4/fo1dHR0FLp+bm4uTE1NkZOTAxMTE2WHXy3Pnj2Dv78/oqKi2LFhw4Zh//79MDU1VWNkhBBCiGZR9PO73ix1yXPjxg20bduWTXoAoH///sjNzcWjR49kPq+kpAS5ubkSX5rgxIkT8Pb2ZpMeXV1d7N69G2FhYZT0EEIIITXUYBKftLQ0iaQHAHs7LS1N5vPWr18PU1NT9svR0VGlccpTXFyMadOmYcSIEWwS5u7ujps3b+Kbb74Bh8NRa3yEEEJIfabWxGfhwoXgcDhVfsXGxqo0hkWLFiEnJ4f9SkpKUunrVeXp06fo2rUr9uzZw46NHDkSUVFR8PLyUltchBBCSEOh1s3Nc+fOxfjx46t8TLNmzRS6lq2tLW7duiUxlp6ezt4ni66uLnR1dRV6DVU6duwYpk6divz8fACAnp4eduzYgcmTJ9MsDyGEEKIkak18rKysYGVlpZRr+fr6Yu3atcjIyGCbcv79998wMTFBq1atlPIaqlBYWIiZM2di//797JiHhwfCwsLQtm1bNUZGCCGENDz15jh7YmIiMjMzkZiYCIFAgOjoaACAm5sbjIyM8NFHH6FVq1YYM2YMNm3ahLS0NCxduhSBgYEaMaMjTUxMDEaMGIGHDx+yY2PHjsWuXbtgZGSkxsgIIYSQhqneHGcfP348Dh06VGn833//RZ8+fQAAL1++xDfffIPLly/D0NAQ48aNw4YNG6ClpXh+V1fH2Q8dOoRp06ahsLAQAGBgYIBdu3bJXfojhBBCSGWKfn7Xm8Snrqg68SkoKEBgYKBEEte6dWuEhYVp9JIcIYQQoskaXR2f+uDhw4fw8fGRSHomTZqEW7duUdJDCCGE1AFKfOoAwzDYv38/OnXqxB7PNzQ0xJEjR7B//34YGBioOUJCCCGkcag3m5vrs7lz52Lr1q3s7fbt2yMsLAwtWrRQY1SEEEJI40MzPnXg888/B5db/lZ//fXXuHHjBiU9hBBCiBrQjE8d6N27NzZt2gRHR0eMGDFC3eEQQgghjRYlPnVk7ty56g6BEEIIafRoqYsQQgghjQYlPoQQQghpNCjxIYQQQkijQYkPIYQQQhoNSnwIIYQQ0mhQ4kMIIYSQRoMSH0IIIYQ0GpT4EEIIIaTRoMSHEEIIIY0GJT6EEEIIaTQo8SGEEEJIo0GJDyGEEEIaDUp8CCGEENJoUHf2ChiGAQDk5uaqORJCCCGEKEr0uS36HJeFEp8K8vLyAACOjo5qjoQQQggh1ZWXlwdTU1OZ93MYealRIyMUCpGSkgJjY2NwOBylXTc3NxeOjo5ISkqCiYmJ0q7bENF7pTh6r6qH3i/F0XulOHqvFKfK94phGOTl5cHe3h5cruydPDTjUwGXy0XTpk1Vdn0TExP6h6Egeq8UR+9V9dD7pTh6rxRH75XiVPVeVTXTI0KbmwkhhBDSaFDiQwghhJBGgxKfOqKrq4vly5dDV1dX3aFoPHqvFEfvVfXQ+6U4eq8UR++V4jThvaLNzYQQQghpNGjGhxBCCCGNBiU+hBBCCGk0KPEhhBBCSKNBiQ8hhBBCGg1KfFRsz549aNeuHVusydfXF+fOnVN3WPXChg0bwOFwMGvWLHWHonFWrFgBDocj8eXh4aHusDRWcnIyvvzyS1haWkJfXx9t27ZFZGSkusPSOC4uLpV+rjgcDgIDA9UdmsYRCAT4/vvv4erqCn19fTRv3hyrV6+W2yeqscrLy8OsWbPg7OwMfX19dOvWDbdv31ZLLFS5WcWaNm2KDRs2wN3dHQzD4NChQ/j8889x9+5dtG7dWt3haazbt2/jl19+Qbt27dQdisZq3bo1Ll68yN7W0qJ/ztJkZWWhe/fu+OCDD3Du3DlYWVkhLi4O5ubm6g5N49y+fRsCgYC9/fDhQ3z44YcYPny4GqPSTBs3bsSePXtw6NAhtG7dGpGRkZgwYQJMTU0xY8YMdYencSZPnoyHDx/if//7H+zt7XHkyBH4+fnh8ePHcHBwqNNY6Di7GlhYWOCHH37ApEmT1B2KRsrPz4e3tzd2796NNWvWwMvLC9u2bVN3WBplxYoVOHPmDKKjo9UdisZbuHAhwsPD8d9//6k7lHpn1qxZOHv2LOLi4pTau7Ah+OSTT2BjY4MDBw6wY0OHDoW+vj6OHDmixsg0T1FREYyNjfHbb79h0KBB7HjHjh0xcOBArFmzpk7joaWuOiQQCBASEoKCggL4+vqqOxyNFRgYiEGDBsHPz0/doWi0uLg42Nvbo1mzZhg9ejQSExPVHZJG+v333+Hj44Phw4fD2toaHTp0wL59+9QdlsYrLS3FkSNHMHHiREp6pOjWrRsuXbqEp0+fAgDu3buHa9euYeDAgWqOTPPw+XwIBALo6elJjOvr6+PatWt1Hg/NjdeBBw8ewNfXF8XFxTAyMsLp06fRqlUrdYelkUJCQnDnzh21rf3WF126dEFwcDBatmyJ1NRUrFy5Ej179sTDhw9hbGys7vA0yvPnz7Fnzx7MmTMHixcvxu3btzFjxgzo6Ohg3Lhx6g5PY505cwbZ2dkYP368ukPRSAsXLkRubi48PDzA4/EgEAiwdu1ajB49Wt2haRxjY2P4+vpi9erV8PT0hI2NDY4fP44bN27Azc2t7gNiiMqVlJQwcXFxTGRkJLNw4UKmSZMmzKNHj9QdlsZJTExkrK2tmXv37rFjvXv3ZmbOnKm+oOqJrKwsxsTEhNm/f7+6Q9E42trajK+vr8TY9OnTma5du6opovrho48+Yj755BN1h6Gxjh8/zjRt2pQ5fvw4c//+febw4cOMhYUFExwcrO7QNFJ8fDzTq1cvBgDD4/GYTp06MaNHj2Y8PDzqPBaa8akDOjo6bFbbsWNH3L59G9u3b8cvv/yi5sg0S1RUFDIyMuDt7c2OCQQCXL16FTt37kRJSQl4PJ4aI9RcZmZmaNGiBeLj49Udisaxs7OrNMPq6emJX3/9VU0Rab6XL1/i4sWLOHXqlLpD0Vjz58/HwoULERAQAABo27YtXr58ifXr19NMohTNmzfHlStXUFBQgNzcXNjZ2cHf3x/NmjWr81hoj48aCIVClJSUqDsMjdOvXz88ePAA0dHR7JePjw9Gjx6N6OhoSnqqkJ+fj2fPnsHOzk7doWic7t2748mTJxJjT58+hbOzs5oi0nxBQUGwtraW2IhKJBUWFoLLlfwI5fF4EAqFaoqofjA0NISdnR2ysrJw4cIFfP7553UeA834qNiiRYswcOBAODk5IS8vD8eOHcPly5dx4cIFdYemcYyNjdGmTRuJMUNDQ1haWlYab+zmzZuHTz/9FM7OzkhJScHy5cvB4/EwcuRIdYemcWbPno1u3bph3bp1GDFiBG7duoW9e/di79696g5NIwmFQgQFBWHcuHFUIqEKn376KdauXQsnJye0bt0ad+/exZYtWzBx4kR1h6aRLly4AIZh0LJlS8THx2P+/Pnw8PDAhAkT6j6YOl9ca2QmTpzIODs7Mzo6OoyVlRXTr18/5q+//lJ3WPUG7fGRzt/fn7Gzs2N0dHQYBwcHxt/fn4mPj1d3WBrr//7v/5g2bdowurq6jIeHB7N37151h6SxLly4wABgnjx5ou5QNFpubi4zc+ZMxsnJidHT02OaNWvGLFmyhCkpKVF3aBopNDSUadasGaOjo8PY2toygYGBTHZ2tlpioTo+hBBCCGk0aI8PIYQQQhoNSnwIIYQQ0mhQ4kMIIYSQRoMSH0IIIYQ0GpT4EEIIIaTRoMSHEEIIIY0GJT6EEEIIaTQo8SGEEEJIo0GJDyGk3njx4gU4HA6io6PVHQorNjYWXbt2hZ6eHry8vNQdjtJdvnwZHA4HHA4HgwcPVvnriV7LzMxM5a9FGidKfAhRghs3boDH41FTx0Zo+fLlMDQ0xJMnT3Dp0iV1h6MyT548QXBwMHt7/PjxbJKira0NV1dXfPfddyguLpZ4nugxN2/elBgvKSmBpaUlOBwOLl++zI6npqZi27ZtKvxOSGNHiQ8hSnDgwAFMnz4dV69eRUpKikpfi2EY8Pl8lb5GY1NaWlrj5z579gw9evSAs7MzLC0tVf566mJtbV1pFmbAgAFITU3F8+fPsXXrVvzyyy9Yvnx5pec6OjoiKChIYuz06dMwMjKq9FhbW1uYmpoqNXZCxFHiQ0gt5efnIzQ0FN988w0GDRok8VfxqFGj4O/vL/H4srIyNGnSBIcPHwZQ3g17/fr1cHV1hb6+Ptq3b4+TJ0/+f3v3HtPUFccB/AsUSqFFHLhqKQEHCqi1iq8BG4hW0G1ECDKHzlVF3aaOMQHjkEWF+cx8JKyLy8ZUFsZMCEyHPM1AJzpBXjpoQeo7YkBXo5WxtfDbH4Y7r3ROYI9snE/SpOfcc8/vntuG/nrPuZRr3zvVUFRUhClTpkAoFOLUqVPQ6/WYP38+pFIpxGIxpk2bhuPHj/NitbW14eWXX4ZIJMLo0aPx1VdfwdPTk/eN+u7du1ixYgVGjBgBJycnzJo1Cw0NDX843t7ppry8PISGhsLBwQFKpRJnzpzh2mzevLnPtM++ffvg6enJlZcuXYrIyEhs27YNUqkUzs7OSEtLg9lsRnJyMp555hnI5fI+H5jAw+mlwMBA2NvbY8KECThx4gRv+48//oh58+ZBLBZDKpViyZIluH37Nrd95syZWLt2LRISEuDq6orw8HCLY+3p6UFaWhrkcjmEQiEmTZqE4uJibruVlRVqamqQlpYGKysrbN682WI/fxTvxIkTmD59OoRCIUaNGoUNGzbwktpffvkF8fHxePbZZ2Fvb48XXngB1dXV3Pbe90ZJSQkmT54MkUiEWbNmob29HUVFRfDz84OTkxMWLVqEzs5Obr/c3FwoFAqIRCK4uLhApVLhwYMHFo/9SYRCIUaOHAl3d3dERkZCpVKhrKysTzu1Wo2vv/4aP//8M1f3xRdfQK1W9zsmwwzav/LTqAzzP5KZmUlTp04looe/Au7l5UU9PT1ERFRQUEAikYju37/Ptf/2229JJBLRvXv3iIjoww8/JF9fXyouLia9Xk8HDhwgoVBIFRUVRERUXl5OAGjixIlUWlpKra2tdOfOHaqvr6f9+/fThQsXqKWlhVJTU8ne3p6uXr3KxVKpVDRp0iT64YcfqKamhkJCQkgkEtHevXt5bSIiIqi6uppaWlooMTGRXFxc6M6dOxbHe/nyZQJAvr6+VFBQQM3NzbRgwQLy8PAgk8lERESbNm0ipVLJ22/v3r3k4eHBldVqNUkkElqzZg3pdDrKzMwkABQeHk5bt26llpYWSk9PJ1tbW7p+/Tovtlwup9zcXGpqaqIVK1aQRCKh27dvExGRwWCgESNG0Pvvv09arZZqa2tpzpw5FBoaysUOCQkhsVhMycnJpNPpSKfTWRzrnj17yMnJiXJyckin09H69evJ1taWWlpaiIiora2Nxo8fT4mJidTW1sZ7nR9lKd6NGzfIwcGBVq9eTVqtlvLz88nV1ZU2bdrE7RcfH08ymYwKCwupsbGR1Go1DR8+nHttet8bzz//PJ06dYpqa2vJ29ubQkJCKCwsjGpra+nkyZPk4uJCO3bsICKimzdvkkAgoD179tDly5fp/PnzpNFo/vDYe2MYDAZevVqtpvnz53PlCxcu0MiRI2nGjBm8dgAoPz+fJk6cSF9++SUREV29epWEQiG1tLQQACovL+ftc+DAARo2bJjF42GYwWKJD8MMUmBgIO3bt4+IiEwmE7m6unJ/yHvLWVlZXPvY2FhauHAhERF1dXWRg4MDnT59mtdnXFwcxcbGEtHvHzzffPPNnx7L+PHjKSMjg4iItFotAaDq6mpu+8WLFwkAl/h8//335OTkRF1dXbx+vLy86NNPP7UYozf5+Pzzz7m6xsZGAkBarZaInj7x8fDwoO7ubq7Ox8eHXnzxRa5sNpvJ0dGRcnJyeLF7P8SJHp5juVxOO3fuJCKi9PR0CgsL48W+fv06AaDm5mYiepiITJ482eL4HiWTyWjr1q28umnTptHq1au5slKp5CUrlliKl5KSQj4+PlySTESk0WhILBZTd3c3GY1GsrW1pezsbG77r7/+SjKZjHbt2kVEv783jh8/zrXZvn07ASC9Xs/VvfnmmxQeHk5ERDU1NQSArly58qfjfzSGpcTHxsaGHB0dSSgUEgCytram3NxcXrvexGffvn1c8rllyxaKiooig8HAEh/mH8emuhhmEJqbm1FVVYXY2FgAgEAgwMKFC5GZmcmVX331VWRnZwMAHjx4gCNHjmDx4sUAgNbWVnR2dmLOnDkQi8XcIysrC3q9nhdr6tSpvLLRaERSUhL8/Pzg7OwMsVgMrVaLa9eucccmEAjg7+/P7ePt7Y3hw4dz5YaGBhiNRri4uPDiX758uU/8x02cOJF7PmrUKABAe3v70588AOPHj4e19e9/hqRSKRQKBVe2sbGBi4tLn34DAgK45wKBAFOnToVWq+XGVF5ezhuPr68vAPDGNGXKlCce271793Dz5k0EBQXx6oOCgrhY/fF4PK1Wi4CAAFhZWfH6NhqNuHHjBvR6PUwmEy++ra0tpk+f3if+o6+FVCqFg4MDnnvuOV5d7zlUKpWYPXs2FAoFYmJi8Nlnn8FgMPR7PAAQGhqK+vp6nD17Fmq1GsuWLUN0dLTFtq+//jrOnDmDS5cu4eDBg1i+fPmAYjLMYAn+7QNgmP+yzMxMmM1myGQyro6IIBQK8fHHH2PYsGFYvHgxQkJC0N7ejrKyMohEIsydOxfAw+QFAI4dOwY3Nzde30KhkFd2dHTklZOSklBWVoaPPvoI3t7eEIlEWLBgQb8WzhqNRowaNYp3V02vP7ud2NbWlnve++Hd09MDALC2tgYR8dqbTKYn9tHbj6W63n6fhtFoREREBHbu3NlnW2+CBvQ9n3+3vzPe46/Fk86hjY0NysrKcPr0aZSWliIjIwMbN27E2bNnMXr06H7FdXR0hLe3N4CHa3aUSiUyMzMRFxfXp62LiwteeeUVxMXFoaurC/PmzcP9+/f7O1SGGTR2xYdhBshsNiMrKwu7d+9GfX0992hoaIBMJkNOTg4AIDAwEO7u7jh8+DCys7MRExPDfTCNGzcOQqEQ165dg7e3N+/h7u7+xPiVlZVYunQpoqKioFAoMHLkSFy5coXb7uPjA7PZjLq6Oq6utbWV9+3e398ft27dgkAg6BPf1dV1wOdmxIgRuHXrFi/5+Sv/986jt0abzWbU1NTAz88PwMMxNTY2wtPTs8+Y+pN8ODk5QSaTobKykldfWVmJcePGDXoMfn5+OHPmDO8cVVZWQiKRQC6Xw8vLC3Z2drz4JpMJ1dXVg45vZWWFoKAgbNmyBXV1dbCzs0N+fv6g+rS2tkZKSgpSU1N5i5gftXz5clRUVOCNN96AjY3NoOIxzECxxIdhBqigoAAGgwFxcXGYMGEC7xEdHc1NdwEP7+7av38/ysrKuGkuAJBIJEhKSsJ7772HQ4cOQa/Xo7a2FhkZGTh06NAT448ZMwZ5eXlcsrVo0SLelRFfX1+oVCqsWrUKVVVVqKurw6pVqyASibgrNCqVCgEBAYiMjERpaSmuXLmC06dPY+PGjTh37tyAz83MmTPR0dGBXbt2Qa/XQ6PRoKioaMD9PU6j0SA/Px86nQ5r1qyBwWDgpk7WrFmDn376CbGxsaiuroZer0dJSQmWLVuG7u7ufsVJTk7Gzp07cfjwYTQ3N2PDhg2or6/Hu+++O+gxrF69GtevX8c777wDnU6HI0eOYNOmTVi3bh2sra3h6OiIt99+G8nJySguLkZTUxNWrlyJzs5Oi1dUntbZs2exbds2nDt3DteuXUNeXh46Ojq4xHEwYmJiYGNjA41GY3H73Llz0dHRgbS0tEHHYpiBYokPwwxQZmYmVCqVxf85Eh0djXPnzuH8+fMAgMWLF6OpqQlubm591oykp6fjgw8+wPbt2+Hn54e5c+fi2LFjfzrtsGfPHgwfPhyBgYGIiIhAeHg4bz0PAGRlZUEqlSI4OBhRUVFYuXIlJBIJ7O3tATz85l9YWIjg4GAsW7YMY8eOxWuvvYarV69CKpUO+Nz4+fnhk08+gUajgVKpRFVVFZKSkgbc3+N27NiBHTt2QKlU4tSpUzh69Ch3har3Kk13dzfCwsKgUCiQkJAAZ2dn3nqipxEfH49169YhMTERCoUCxcXFOHr0KMaMGTPoMbi5uaGwsBBVVVVQKpV46623EBcXh9TUVN44o6OjsWTJEvj7+6O1tRUlJSW8dVr95eTkhJMnT+Kll17C2LFjkZqait27d2PevHmDHpNAIMDatWuxa9cui7fHW1lZwdXVFXZ2doOOxTADZUWPT8QzDPO/dePGDbi7u+P48eOYPXv2v304zH9ARUUFQkNDYTAY/rGfkTh48CASEhJw9+7dfyQeM7Swxc0M8z/23XffwWg0QqFQoK2tDevXr4enpyeCg4P/7UNj/mPkcjkiIiK4tWt/F7FYDLPZzF2VZJi/Gkt8GOZ/zGQyISUlBZcuXYJEIkFgYCCys7P73PXDMH9kxowZuHjxIgBY/ImJv1rvIni2+Jn5u7CpLoZhGIZhhgy2uJlhGIZhmCGDJT4MwzAMwwwZLPFhGIZhGGbIYIkPwzAMwzBDBkt8GIZhGIYZMljiwzAMwzDMkMESH4ZhGIZhhgyW+DAMwzAMM2T8BpANAegcTL2AAAAAAElFTkSuQmCC\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": "6e4fe5de-33ca-4b3f-a136-5ce33dba7b14" }, "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": "ca4f445d-e077-4e09-c268-e0a3b2512954" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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Q0ICioiIkJycbLQSwlzetiiXXctY1Q0REymUpdziKc+zcjOGNiIiIXIVDsUREREQKwWBHREREpBAMdkREREQKwWBHREREpBAMdnbiImKSi9cKERG5G4OdTL6+vgCA+vp6D7eE2gtxazONRuPhlhARUUfBcicyaTQahIeHo6KiAgAQFBQElUrl4VaRt9Lr9Th79iyCgoLg48NfMyIicg++49ghLi4OAKRwR2SNWq1GYmIiPwCQXVjEnIjaol0Fux9++AEvvvgi9u/fj7KyMmzcuBG33367dLsgCHj66afx9ttv48KFCxg+fDjeeOMNpKamOuX5VSoVunTpgpiYGDQ3NzvlMUm5/Pz8pO3XiOQqaihC/qV8TzeDiNqpdhXsLl68iIEDB2LmzJm44447Wt2+fPlyvPbaa3jvvfeQnJyMv//97xg3bhyOHTvm1C2dNBoN500RERGR12lXwe7GG2/EjTfeaPY2QRCwcuVKLFy4ELfddhsA4D//+Q9iY2OxadMm3HXXXe5sKhEREZHbKWacqKioCOXl5RgzZox0LCwsDJmZmdizZ48HW0ZEnqDV6a1+TUSkRO2qx86a8vJyAEBsbKzR8djYWOk2cxobG9HY2Ch9XVNT45oGEpHbCIKAnBNn8dHOQhRX1CIpJgRTRqQgMzWGi1mISNEUE+wctWzZMixZssTTzSAiJ9Hq9Mg5cRaL1+dALBGdf+oCFq/PweLsDGT0jIaPxnsHK5IDku06TkRkSDHBTixFcubMGXTp0kU6fubMGQwaNMji9z355JOYP3++9HVNTQ0SEhJc1k4ici0fjRof7SyE6b4fAoB1OwtxTa9Yc9/mNVjShIjawns/ttopOTkZcXFx2LZtm3SspqYGe/fuRVZWlsXv8/f3R2hoqNE/ImrfiitqzR8/a/44EZFStKseu7q6OhQWFkpfFxUVITc3F5GRkUhMTMTDDz+MpUuXIjU1VSp3Eh8fb1TrjoiULykmBPmnLrQ+Hh3i/sZ4kFanNxp2Nv2aiJSnXQW7nJwcjB49WvpaHEKdPn061q5di8cffxwXL17E7NmzceHCBYwYMQKbN292ag07IvJuWp0eU0akGM2xAwAVgLtGpHSYcMMFJEQdk0oQBNOpKB1aTU0NwsLCUF1dzWFZonZKEATsLajAup2FKD5bi6ToENzVgUKNuQUkQEu4bQ8LSIg6EmfnjnbVY0dEJIdKpUJGz2ijhRJanb5DhDqg/S8gISLH8SMbESmSaY9UR+uh4gISoo6pY/2lIyLqIJJizC8U6WgLSIg6GgY7IiKFEReQmA48Gy4gISJlYrAjIlIYH40amakxWJydgbSu4Qj00yCtazgWZ2cgMzWmww1LE3UkXDxBRKRAHX0BCVFHxY9tREQK1dEXkBB1RPwtJyIiIlIIBjsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyKvZ7q3Kfc6JSIyj1uKEZFXEwQBOSfO4qOdhSiuqEVSTAimjEhBZmoMt8dSEK1Ob7QzhunXRCQPgx0ReS2tTo+cE2exeH0OhMvH8k9dwOL1OVicnYGMntF881cAOeHdXNBbWLQQRQ1FrR4vOSAZS5OXuqXtRN6GwY6IvJaPRo0f88rQMy4U9U1anK6sBwAIANbtLDTa4F4u9gx5F2vh/ensDCRHh+CFTQdx1/DWvbRFDUXIv5TvmYYTeSkGOyLyao/dNkj6/3tXbZfCXfHZWrsfi8O6rXk66Ppo1PhoZ6EU6kQCgPU7C7Fy5nD4atTspSWSicGOiLyGraG1IL8rf7KSokPsemwO67bmLUG3uMJ8SBfDe2RwQJt6aYk6EgY7IvIacofWVADuGpFiV++StZ6hjhgYvCnoJsWEIP/UBcRHBhmF9+SYlvAe6KdBSlwoGrU6t7SHqD1jsCOidsPfV4O0ruG4y8FeJVs9Qx2JPUHXlcOzWp0eU0akYPXWY3h3zmiz93n45gEueW4iJWKwIyKXcubKxRUzhgFoCQNiqLPn8cWeIVNyh3WVtgrTVtB96fNfUHq+zuzwrLPm5vlo1MhMjUGQf8vbka1zrNPpoVaroFKpkByQbPYxLR0n6ggY7IjIpVyxctEwQMh9fLFnyHDoEWg9rGstsChtFaatoHumut7s8Kyz5+apVCr0T4gAYPscCwB+KT6PQcmd22WYJnI1Bjsi6hDEnqHF2RlYt7MQxWdrkRQdYjSs6y2LCQwtLFoIAQKeS37OqT2G1oJu9ogUlFXV40hJJQDj4Vlnz80Tg7NaLX+u5Jrtx1Hz9WGMG5SAu4anyH4uoo6AwY6IvIarh9ZUKhUyeka3mj+mUqmsBpbl067BgO5RTmmDvQyDnDN7DC0F3ezLQXbphgPQGyQ+cXjWmYtQDIO0WqXCK/cOk/V9xRW1aGjW4cdjZbhreIpTAq/Shtmp42KwIyKvIfcNtC2T+U2/T/zaWmDZklvq1GDnaIhICkiy67gt5oLuuZpLWLrhAHbllxs/h8E8RLmLUKwNa5sG6ZS4UNntNh1CdkbgVdowO3VcDHZE1K6IvTw/5pUZFS92BkuB5XRVvVOfx94QEevbEryeS37Oqe0AjIOuTqdHYXkNdpuEOnEeok6nh0ajlrUIxXRY+6qUaNx6VRLSEyOhUqmMdhUBgOjQAFntNRxCJqLWGOyIyKWcObxq2MsjBgJnPr6lwBIfEeT057JHoCYQgOuHCzUy5iHKWYQCwKg3Lj4yCAsnDW31fOaC+bDQYUY9kJd0l3Cm+YzRORbbuDOvrM2vmUhpGOyIOjhXhwVnzk8yHC6tb9La/fi2hgYtBZYxA7rZ/Vy2ns8R7hgutDYPETA/Ny+j55XeOL1egMZCb5yca21O1zlW23ekpBIDk6JwlUkbiagFgx1RB9fe5haJw6WnK+tx76rt0k4F/r4aqc6dObZWvFpbNTswKQq/nanBtkO/Y2JmMjqHBkqPe6lJCz+NGhqTwGbu+e67vo/dc/WSA5LRxa+LXd9jyt7wbmkeoshc+BNpNC0B0FxvnK1r7eXSl3Gg7kCr9r3w2QGUnr+I+iYtyirrpdW3RNQagx0RtSuGw6WnK6/MfUvrGm7xe+SW6LDWW/XqV4eRf+oCPttbhP6JkYgMDkBlXQO0Oj1euXe4rOdbveUYXp91rV2v1xk9nq6uJQg4p+f3kYRHcPvR21HaWGp0vPT8RRSW10hfm66+dcYQOYsdk1Iw2BGRx8kdspRbZNiUPSU6LPVWiT2FegE4dLJSuj3QTyP7+QYktfTWKTFEOCs8dlJ3snkf09W33jZlgMiTGOyIyKPsKQosp8iwJW3dJ9be7chMn0+tAiZe3RLcGCLaRu4WcHJpdXoc+70Kq7cca/WBYfYNfdG3W0Sb5kY6e64lkTUMdkTkMY7sYmBrcr8lYwZ0RV2DFpV1DThSUikV35UTEhzpKTQNgv0TIxEdFoilG/ajzEz5lOSYEDxqo3yLq3v6HAkg7g4ptnpnHeGjUSM9MRL3jOzV6gODWJ7FUd64mwkpG4MdUQfnyWFBR3cxsDW535RWp8dfJ6RLX5dX1WP1d3nYnV8uKyTY21NoLghGBresDN1XeBYNzbpWz3Gq8iIevc3qy2jTCmBbHAkggiBAq5f/PI5ea8kxIThVeVF276wjzH1g0On00OkF+GiuPJc959XZ268RycFgR9RBiW9Qnh4WbOsQqS3mAstdI1KwcNIQFJRVo1eXMFkhwZ6eQnNBMCSg5c+tvUO6cl/jL8Xn8WNeGZq0eiTHhCC9exRS4kKhUqlsBipHAohOp4darULpuTqkdgmX1U4515phDTuxfY/eNkgKvXJ6Zx1l+hrVahX2FlQ43NvmzO3XiORisCPqgMSw892h33G+thHxkUEYNyihzcNOjnBF0BFZCixLDAKLud42S8OR9vQUWgqCjiz+sPUaT5ypQVx4kFGvpGEAshWoHAkgAoC9BRX4/sgpLLhjiOzeuKeKnkJxQ3Gr+8X6xmJFygqzu2v85/vjqKhugL+vGlelxLhlGNNZvW2u/uBCZIrBjqiDMfeGdez3Kmw7dMrtw0OuCDqG7A0s5nr37h3dGwOTohwKEuaCoKOLP6w9R2qXMOwtqMCyjQeNeiUzU2NQXFGL5JgQm49tbwARz21EJz8A8oeJVTDfjiBNy+4e731/HLlF56UPG/0TI1F8tk7au/ar/SVuuU6d1dvmyg8uROYw2BF1MN40POSKoCPS6fXQqNV2bVhvGnhrLjVhUHJnu5/bWq+fo4s/rD3XvhNnscRMr+TT2RlIig7B3oIKm0HIkQBSXFELbVRLeRJLPXFJAUlGvXC2AuD3R0/jdGW99GHj6ewMzBqThj3Hy6EX2nad2rs4pK29ba7+4EJkDoMdUQfkTcNDzg46QEvP2/FTF9A3IVJ2YDEXeMVdLewpvitnEYK9iz+s8dGosc5CUF+/sxArZw7Hp3tOWA1CjgaQO65JRlVdIwCguKHYrjp2giDgcEkl8korkT0iFS9+notjv1cZFZ02fA39EyOl+oGOXKeOLA5pa2+bKz+4EFnCYEfUAXnb8JCcoGNPEeOcE2fxzMc5eHfOaNw1IsWoNwuwHFgsBV65xXc9tQrSVlBv1Oqtfr+5AJIcE4JZY9KQ1i3C4jzE6aN6y26j6b68Pho1+naLkLZY25lXbna1sPgaxFXFgP3XqT0/F7Ftzuptc8UHFyJrGOyIOpj2ODxkbxHjj3YWQicAq7/Lw8JJQ/B0dgbWy+gxsRR45TLs9VOrYLT12Ppd5ocPnVG81lZQ9/exP4BYapfpz2JEWhweu22QzcUTx36vQnpiJABI319ythZPTByEa3rF2XwNlXUNLe2E/dep+HNRqYB0g5/JkZJKaVj3qf/7GXUNzdJ15czeNmf20BLZwmBH1MG4enjI2VX2HekFS4gKhp+PGnuOl2PphgOYPSYNK2cON3pMc71Q913fx2j3gejQANiruKIWw/vEYfaYNMRFBEnHz1xoXZTY0eK1pr1floJ69ogUlFXVIyMlxurPQbxNvF1s177CCjQ266XVqBk9o80uvAFsz51b+eUhzB7bFwO6R+GZj3Ogu/wAn+0tQkbPGKsfNs7VXMKJ8mqkdQ13+DqNCw/CkxMHG/1Myqvqsfb74wCA4ABf6bUZXleO9rZxtwnyFJUgCKZTMzq0mpoahIWFobq6GqGhoZ5uDpHLuOKNRxCENtX9smTuu7vM9uakdQ1vFdgMX4NYiHjP8XL0T4xEemIkptkxfCiamjfV7FBsn8A++DDtQ6Nj/96Wh3v/0Ad7CypagrPBKtVrDM6DucAKtIQZa8O2puf4nutSMCmrJw6XVGJLbilOV9UjPiIIN4grSm2sijV8vJKztXj7gVE4X9eAsEA/oxB0vrYBUSEBZn8W8ZFB6NctQto548XPc42Gh+ubtDhdWS/9vB77zx5pvtyofvF48o7B0F9uh62eVUevU/HxTX8mmakxUKtURm0yva7s5arfA1ImZ+cO9tgRdVByhofsWTTgyvllchZ7WCtEvHTDAezOL8cfr+nh0p4TrU6Pu69NxZGSSny441cIALpFdYJWp8eHO35FJ38fad9RR1Ynm57j+Mgg3DksBQAwoHuUNF/NUI9Yy28U4h6pH1xu6zW9YtE5NACRIf6tyqdMGZGCyGB/xIUHtQp2pyvrUVXXKBURtjVfLirkSk+oOMS65n/5uGlId6NAVVZVjzXb8zHzD2nSMUd+duJ5M7dyeHF2BgYnd8ax0spW7XQEd5sgT2OwIyKL5C4aAFxbRsXW/CtrhYifzs7Ag+P64oaB3Yx6TMyFVrE0h3ib+LXc4rtiYBvQPQqvz7rW5utytHac+BodWbVr+nimbbVUPkUMJrPG9MEPx05Le+2KDBc02Pp5hQX5SceOlFSivKoefRMiMXPVdvQzmAN3tKQSiyZnuKSeYXxkEIL8fLAzrwzX9IrF2IEJKCirBtCyhZkznwuwHdg5bEvOwmBHRE5jT1CRG0ZsLfbQXX4TtPRmKpbLiOjkbzQMZi20irdd1F8EYN8erfa8Nkdrx4nEOYBCq1feol7Xel6frbZZK5+y7vK5TE+MxC8nr/RwiT+LhiYtfDRqiyuRsy8veqi52CQd1wvA25cXuSya3DLvc2/BGSRFh2DR5AynDV8anrf4yCCsmTPa6PaHbx7Q5ucw91xGx838Hpj2NF+VEo1br0ryyC4wpAwMdkTkNPYEFbm9gXIXe9h6M9Vo1NDp9BAgfzivtLEUtx+9HZ3ULUV4TYvtWiLntTm6Olk8x/GRQVicfRUAyGqTPW2zdS7vH9sX//rmSKufxfs7fsW0Ub2RmRrTaiVytsF8tluu6o6yC/XSbWMHdgMAl5YFMbw229rTac9zGR03+T0wN7S+cNJQh5+XCGCwIyIncXYZFXt3a7D1ZnqxoQlB/r44XFJpdi6aJaWNpbLvaw9LgXWGlS3MtDo97h3dGws+2GtXONHq9NJzymHrXHYO9m+1aOXd/+Vjw57fcMPABFRfakJydEir+XIFZdXoGRuKXvGtF72oVCr4aFqXrnEGS9emYchN8E+QArylHtC2PJe53wNnD60TAQx2ROQkzi6jItY9k7Nbg62SH+dqLiG8kz9+KqjAhzt+lTX/zV6OzIsyF1it8dGoMSi5M16dOQx7CyoAyOuBs6ddNfVNVoNJfaMWSz/dj4yeMbhrRApOV15Et6hgfLHvJPQGtQP3FlRgw54TaNTq4e+jRkZKjMXrwNXzyUyvTbXauA0J/gnY1G+T7Mez9rO29/fAXO+oPXNbiUwx2BGRRXIXDYgs9az9WlaNf20+alTQ1pbVW47hnpG9ZK0iFN9MLQ3/rfuxEHdfl2p27pgjVp1ahTld5+DFz3OxM6+8TeUsbK1GjvWNxYqUFUa39+4agd5dIxx/AVaEBvlZDSZ6vYAVM670tsWGBwK40su3K7+lduADN/RFlsF10NCshV4vQKPxzLwxayFa7Kmz1VM2b81u6AXB5s/ant0m2loUm8gUgx0RWeTIsI9hUNGZWa1qaf6WKXtX06pUKqTGhbUa/lu64QCSooOl5+52edN6c+E0KSDJ4m3mjut0eqmcyeqtxxDk72PXMC9gvvfHXI+NaeiQO99PJAiC7NBpLZgIEFBYdgEb9hThfF0D8n+vxNq/Xm/Uy1dUUYPosECjxwzw9fzbjbhzRum5OiQ6MO+zSatDYXmNrNIlcrfJM9c7StQWnv9NIyKn85Y5OhoLq1XFtphjeNyeemJanR6F5dXYsOcEukR0wumqi/gypxg6PfDHa7IAtPSO1FxqWZFp7TzYOkdzus4BACy4Y4jR8Xe+O4YB3aNkB0NBEHDs9yp8m1uKE+U16BkXisduGyQFTOBK2BTnfV3UX3Ro3p8Y6uwp3WLuax+NGildwjFucALe234cGo0Gn/9chHv/0KfVUKe916Grr1txscIHbRyOd0YJH8D2EDGRIxjsiBTIm+bomPbQ1TdpAdgOT/VNWrs2eze3/dOdWT1xvq4BqV3CUFnXIJXhuHfVdmmiugrA7Bv6SoWDDT1V9BSKG4ql3rFVp1bhxKUTONN8xuh+YvCoqG6Q9dpEKpXKqLDwe9tbfmbmeuIMj91+9HZZj2/4GsQhXVttE3sQbYWshKhORr2jVXWN6G2yKMLe69DV162PRo11u6580BDDrGGQlqstRYwN2TvPksgWBjsicinTOUSnK+tx76rt0hZU4u4Hhnu01jdpUVZZj7n3pMtelGBYD6yxWYeecaEYNygB6YmR2H7kFGovNePWq5KwfNo1+GJfMXJOnJXmjlmqGVbcUGwUNHbX7LYaPPx8jNtp2nZbwXD66D4AbPdciXPCxGPmiMfF15B/KR/zC+e3mq9nSmyvrZD1zrY8qKCCXgCqLrYE2vSESPxpVG8UlF1Aapdwq8/jLqY/gycnDsYne34D4NhUA5E9HzpsMb2+7Z3bSmSIwY6IXMbSHKKyynr8eWxf6U03PTES94zsZTRZf+496RiU3Fn284hz+bqYKT77h/Ru0v+bbr1lblK7aRiI9W3pTbHUsyPefsOgBOl7DYOmWqXCK/cOsxkMRXJ6ruQWTxbbBgCBmkAr97TPgoktw9Cvf3ME947ubbSvbHKMd+yzbWmbuQfH98Pr3xxB3u9VAICEqE6thtWtcbSEj1wsaUJtwWBHRC4jt/SDpcn6QEsv1+mm060eu7NPZ8xLmCc9jziXz95aYKZvzOK8N3GunOGqVFuLFcSeP61OjyMlldIerAlRVwocixydKycSiyf3C+pntV3meug+KP8A31R90+p4RnCGdE5tEVcGPzi+H3422Vf2vuv72L2IxBl0Oj00l3+etraZ++M1PTBz1XbohZagBtjuKfP31SCta7jDJXyI3IHBjojsZs/eliqVClfJKP1gabK+uFDBFrVKhfjIK71GjszXEsPA/hNnMaB7lFEAlBMUDWvuDUru3GqCvmkAu/3o7Q6FO8OAqLocS54qegoDOg1Adky2zbZW66rNnht75pqJYftISWWr8LR6yzGX1Ao0x/Da02jUOFfTgG9zSzH1ulSb28wN7RGNuoZmzBjdG4DtnrIVM4ZJz+lIqPOWRU2kbAx2RO2QrWDlyjk65oa3zNX1Mn3DNa2474j5hfNxpvmM2TfCV+5tedNdvH6fQ48ttutoaSUeGN8PB4vO4btDv0OtUuGRWwc6FBTtmStnD3M9dEfrjyLeLx6AcxYh2Bp2Fn2bW2o2PAH2X4f2Hrc01Drl2hQAtrdGW3r31QCu9A7L5ej1602Lmki5GOyI2hk5wcpVn/4tDW+Z1vWSG/5M2QpCZ5rPGL0xiis+De8T4KuR9VpM67rp9Hpo1GrcPLQ79hZUSJvYp8Q5Pl/MdGsqucOvlkKVeHzVqVXYXbPb7se1JcrnyvCp3Bp5pyvrWx2Tu/JZJIZ+e65bW0OtV/WMRnJsCPJ+v9Dqe00XPrh65wsid2KwI3IDe4YubT2OnGAlEgQBh0sq8W1uKU5X1iM+MghjB3SzuBepLaZ7W0rPgyt1vextoyF7ezRMV60CQHykvF6wwyWVRiVOmrV6aPzUiA0PwvOfHXRKwVhz4ciwVImlgsi2QlWjvtHseWrQN8hql6X7+av9AcgbMrykuwSgZeP6Y5cXIYhOV9Zj6Yb9WDhpKFZ+eQhanR6PXt5tRLwmv9hXjH2FZx3etcPctRgfGYQgPx/syitDVq9Y/PXG/njlv4darbZu68IHZ/0+E7kCgx2Riznae2WOnGAlMhewjv1ehW2HTtkMWNaUWKjfJQ5v2dNGV5g2qres+23JLcWA7lF46v9+Rl1DM+4akYJrLv9M5O6OYY49w6+WApytx7C0SX2ltlJWG23dz1bAfrn0Zalky7hBCdh26FSrfWWvH9ANZVX12JJbikWTM6ThTkdDvzmGP6d4M6uhe8aFtZrrl1t0zuEPNoD9UxEWFi2EAMGuXUKI2oLBjsiF2tJ7ZYmteUMiZwUs096Itx8YhX99exS78suN7mc4vCW3ja7w4Q8FmHpdqs35WqerWoYQ+3aLQMm5Omz86TeEBfqib0Jkm/bvtKfX8YXPDmDC0O7oEhGEFV/8gmX3XCPrMeQGOEvi/eLRJ7BPq+OdfeWVlwlQB0jnMT0xstWqZ3GP3rX/y8eiyRlGoceZoX9EWpx0rYkrj23VCuxvoWYhYLsnzp6pCOLKanMBnciVGOyIXMgVvVeWQoe5gqltDViWeicWThqCpRsOSOFOBSB7RAoamnQI8NPY1UZnKyxreV5b87WG9YqBVqfH1OtSpWPnahugs1B7zxULUkrPX8S72/KxcuZwXJvWBXpBgFpGT5KlYCYunrDV1jld58hebWyO4fdaKlWjVqkw8/q0VitInRn6H7s8vGuubZZWHB/7vcpsQWpbPXG6yyFP7lQEc9uWsfAwuQODHZGLOfONzFLBX0sFU9sSsGz1Tjw4ri9yi84isfOVHprnNxzA/FsH2tVGe1iak2bo4VsGQC8IOFJSiYSoYJSerzPa1QJo6aV7cHw/7C2oaLWi8prUGKPae41aHQDnLUhJCkiSSpQAV66DGwYl4EhJpaz6b7aCma22/vPrQ/jrhAEyW2ybtQ3vTW9zVuh3dMXx6i3HcM/IXka95XJ64kS2fp/NhT+5xaSJnIHBjsjFnNl7JbfgL2B/CDT3XNZ6J1bOHI7PHh8PACirqpd68OIjg4w2hDfXRktDXrZ6NEznKRmW3hDvc/JsHdITI/H5z8UQACycNARTR/bC+sttSY4Jwb1/6IO9BRVmV1SKb+TmeqG+3H8SW3/5vVX7BidH4f4xfaWvE/wTWgULMZQavgbD/XB9NGp8e3neny0FZRcQGxaEJq0OnUOv7CZhuOvF4ZJKbMktxemqesRHBOGGy9urFVXUorG5Zb6baTgS98R1FnM/Z2eFfkdLh5jrLZfTE3estBJp3SJw61Xd8fHu31o9rulUhG5RV37+YjFpw2tCPNdceEHOxmBH5ELOfCOTvtfC0Je5gr9yQ6AltnonPv+5GDvzy3CkpBL6yy/wi5yTmHl9msU2mhvyund0bwxK7mx3j4a5XRVWfnkIs8b2xf1j0jBz1XYs3XAAs8ekGW1OD9ie67Xoo58xKLkzRvfvivBOflAB6BEbChVg9H2XmrS4OvXK6zTcqcKaBR/8hLLKeszO7ouqukZEBPubLR1izrHSKqTEheGngio8u+GAUY9jZmoM/nf4FIb1jsOA266ExNpLTcg5cRbJMSHSClVL4chWwJZz3Zr7OT84vl+br0lnEK9fscQNYPta/2LfSdRcasaUEan4dM9v0BlcBOLvs7jzRVJMSKvaeJbK0TDUkbMx2BG5kDPClaXHtfa1SG4ItMRWb+PO/DIcOllp9jZzbbQ05LXgg7144Z5M9E+MNPo+w+3ExPIagZpAxPvFY07XOXjv++P4uaBCun99kxanK+ulnQX6J0ZiV3459hwvR//ESMSFB+GRWwcCsP1G/vjEwQjw1RgUWVZhQPcoszsqCMKVd/megT0B2B4qTIkLxW1XJyMzNQabD5RgwtDu0s4ZtoLViLQ4o1p74nkUa7j1S4jE5Je+xb/+PBLxEUHw0agREuiHq1JizD6uSO6Qoa0wYunnPPffu/DqfcPbdE06g3iNHj91AWndIqBSqWxe6+frGqTQ/+L0LLy9Nc9ib/SUESn4YMevADivjtyPwY7IxdoartpKbgg0Zau3sb5Ri6MlxqHOVk+kj0aNfYUVGNkvHpV1DVJPnwBg7fbjrXrVbE3w33P8DIrMBDQxnEUGBwAA9AJw6GQlmrVXelFsvZF38vfB4ctz3myFNMOfpdhmW0OF94/pKy0ymDC0O7Q6PcYO6AbAdrCKCgnEM58ckH4uYv02AFINtz+P64duUZ1wpKQSewvOYNaYvtLrsDTkarr/7AufHUBFTQNWzBiG2vomfLSrEAeLzuGN2ddZbZ+1oc03Nh9t9XN2Ra+VaZFnMUiJC33Kqurx6Ht7sGhyy9C7pWtdvO+Rkkr4Xy5+nRAVbPQaDH+fxQ9zYqFszqsjd2OwI2ojOcVKHQ1XnmSrtxEAFk22rydSq9PjrxPSpa/P1VzCZ3uL8EvxeWmRgj38LewyIYazyrorhXgNQycAq6G1WatHzm9n8eHllY32zOeqvdSIkEB/Wfc1vA5UAAYmRSH/VBV25pXh2O8XpLlx/RMj8c53efil+DwGJEbhz+P6Sj2O5uq3AcAtGUkAgAHdo6R5e3JeR2ljqTQXrPT8RfhebmPJ+TrcPyYNa/8n7zx4suQNYLlG4H1j0jAwKQpLNxyATrgy9H61mWtdXBS0dMMB6IUr11VokJ/0eDozv+8qlQr9EyONjp2tuYSNl691oOXnff+YtFa91ERtxWBH1AbOLD7sjWz1NtrbE2n6BtY5NBCzx/a1cO8rj2kuOMvpUdTq9Aj005gNnbaGyNftLARk/ghf+iIXPx4rR1JMCO67vg8GdJcX7AxpLr/GPl0j0KdrhHS8vlGLtf/Lx9cHSpDRMxpjB3YFcKWGm1i/zRUbzBv2WD323h78fXIG7hqRKmuOnatL3sgd4jRta7+ECGzY8xv2HC/HgO4tw/MAsGlvEYb1jjPqiTNcFGSpN1pj4TyY7gBzorwGx0qrcKryonSt2SqUzB0uyBEMdkQOckXxYUfa4Kw//JYey9bKWXHCuPi1tce2FT5M22ApOF+dGoNfis9ZDWd6vYBX7jU/XAaYD60NTVrpPsUVtZg1pnWtOHN8NWo0NOuQf+oCVm85ZnYenqkPyz/E11VfA2hZcBGoaVndKs4f/P7IKajVKqQnRmLm9WmYeX2a0feb1nBzZJWorXA0+4a+6J8YKfVurd9ZiCwZtRdthW7Da8ZRcsKquevnrhEpmJTVA2MHdENE8JUAPrJfPP61+SgSo4Pxp5G9kPd7Fd75Lg9FFbVI6xre5nmxA7pHmVxr1nuolf6hkVyHwY7IQZ7eOsuZf/jlPpa1++n0gsWQKf7XVviwt8r/hYtNGJQUZbbXUKNpvUrY2vMBxkO7ybEhGN2/q8W2GkrtEg6gZdWj3D1mp8ZNxf6L+wEAK3q2XkU7ysJzv1L6Cs5pz0lfi0FQnFN2UX/R4gpMkdxFEnHhQUaFqOUOo4rD+CtmZOHty+EoKToED4zvh56xoUahzlW9UpauH7GkzYDuUXh4zS4UnbkS+J66XHh76YYD+PPYNKsfDOxtxzMf56BfYiSu6RWLUf3iERUSYHQfR3a4IDKHwY6oDdo6j8jR4TNn/uGX+1hanR5HSirxwY5fIQDoFtUJWp0eh0+eR2ZqDI79XoUv9hXj9/MX0TMuFOMu101ry8pfW8H5dNVFpHWLaPV91l6rtRAhrmps0uoxa0waOgX4ymztlVZGh7a8YcsZKjQX6ABgfuF8aUss02thXsI8s99jOKfM0q4LQ4OHSgFwRekKCBBQqa2UwqF4Pv6bU4xjpVX4/uhpqYwNIL+wtY9GDZVKhb4JkXhxWpZ0jgVBkIpCx4UH4YmJg1zWKyXn+jHsaRVXFM+6XCanqq7BKNg5GqTEdugEICTQDxMzk7G3oALrPtlv8TV7+kMjtW8MdkRt0NZ5RI4WWXXmH365j+WjUWNQcmeLw4yGk/SdxVZw/u/l2mJXyQiyhr2NJWdr8Yf0rhg/OBEpcaFGvY0+GjU0ahX6GgRGWyGtoKxaOhZ5eXjPVm+YYXgzfLylyUtxpvmM1evC0V0X5ifMt9omsbhxr/hwrPrmqN21F2316IofIFQq4MmJg82WbHFmr5St60dcNQ20XO9imZz0xEjccU0Pp/UeFlfUQq0CZo9JQ97vVdhx5DT8fNRo0uosvmZPLz6h9kuRwW7VqlV48cUXUV5ejoEDB+Kf//wnrr76ak83ixTGFcWH7eHMP/z2PJacXkZn7Wggp7aYnHlfhr2Sw/rE4cmJgxEX0TJp3lIh3ZTYUGk411ZIO3R5pWN8ZBD+dtOVrbqeKnoKxQ3FV9p9+TzML5yPHTU7bL5+Sxz5QLDq1CrM6TrH5s/vcEkl+naLwNPZGdJuHXJXPFvq+V0xIwt9EyKlDxDpiZGIiwjCso0HXdordXNGInKLzrd+rTGtV00DV673h27sj4TOwU6by3bHNcmIDQtE59AAxEUEoV9Cy4rZ8qp6rP4uD7vyy1u9Zk/ut0ztm+KC3fr16zF//ny8+eabyMzMxMqVKzFu3DgcP34cMTHWi3MS2cNVxYflcuYffnseS06ocLQn8sXPc7EzrxzJsSF4/u5Mu2qLWSP2Sg7rE4eFk4Zgb0EFXth0EE9OHIzfKmpb9RrN/fcuqQel5FwdkmJCcMTKFl0hgX4I9GtEP5Nh4eKGYrPnwbSnztkMa7iJvYpioWdbP5stl7c1690lzGKtNnOs9fzmnDiLvgmR0gcIsafM1VMZZo2xvuK6stY42Il7wiY6KTyJH+6mj+ptNAxtuJBj4eV5fQd+O2v0fZ780Ejtm+KC3YoVKzBr1izce++9AIA333wTX331Fd59910sWLDAw60jpfFU8WFn/uGX+1jOeDOxNaRZXFGLhmYd8n6/gK/2n8SkrB6ya4vZ4qNW4YEb+krDf+ndIxEbHoTnP2vda6RSAWWVF+HTKxavfnUYUSEBmD0mTdqKC2ipwadSqRAe5Neq4K6nmesdvaS/JOt7T1e1bGu2+rs8nK9tQGRwAC42NGPp3bZHPSwFtV9PtwxVix8gxJ4yV09lWHVqFXbX7G51XAx+AX5X3gJVAG69KgmAc0rHiD3B63YV4smJg1FUUWt2IYc4r2/5pish09MfGql9UwmGe+G0c01NTQgKCsKGDRtw++23S8enT5+OCxcu4PPPP2/1PY2NjWhsbJS+rqmpQUJCArp06QK1mp+IyLUqtZXQCtpWx31UPoj0iTTzHcaadXo0Nuug0wvQqFXw99VIBWXt1aTV41KTVgpwgX4+8PNp/Vhy2mx6H41Kgygf2/Pvqi42Qnd5tn5kJ3/oBUCtAtTqK29ker2Ai41aqaBxaKCf2XZaUnupGY1aHfx9NAgJ9EVdQzN0egHNlwsX+/to0MnfR3rO87UN0puxr0YNtUoFvSBAq9MjKiQAtZeaoRcEqFUqBAf4wvA91/Q8iOfI1jk0vN3ctWDr+2svNQMAQgJ9UaOrQbPQDBVUsp67rqEZwQG+qK5vks6Jr0aNMIOivJZcqG9qtUeq4fc3afWoudQEoOXnq9UL0teG5P5Mbb2WGl0NGvQNFm+va2hGY7Ou1fXe1t9LANJrFV+7rXPDXriOS6/Xo6ysDNXV1QgNDW37AwoKcurUKQGAsHv3bqPjjz32mHD11Veb/Z6nn35aQMtoAf/xH//xH//xH//xn0f+VVdXOyULKW4o1l5PPvkk5s+/slKMPXbUntToaiz2LIRqnPDJzwxHeuxM76MXBNTUN185rmnp7apraEazTg8ftRohgb5GvWWmPWmmmnV6+GrUNp+7oUmHAD8NmrR61DdppWK5QZd7bIx6lYL9odMLuNhw5fHUahVCA+WWQTGvrT83W9/flh47oGW3i0tNWqs9t5ZY6/nV6lp6lq2NJIq9n3I4o8dOEFqes1mnR4CvBsEBvk7psROvXbk9djq9gNqG5lbXIymf2GPnLIoKdp07d4ZGo8GZM8YTk8+cOYO4uDiz3+Pv7w9//9bb/+Tn5zunS5TIhabmTTU7x6hPYB98mPahS57TkVWx5u5jzT82HsQTEwdj7ru7jOZgqVVA/8RIpCdGYtqo3gBa5gieOFODqGB/dA4NtHlOLjVpkVt83mjBBAAM7B6J5dOypOe87/o+uDOrh8X5TK7YwsvQlsotKLhUAABo1Dfi98bfAQArUszXvrPl5dKX8UjCIzbb3dSsg5/BghR7hwjN1QpUAdh3ecWsRg28/7frca6uEe9sPYajpZXomxCJyOAAVNU14I5resgudWLrZ/1U0VPYXLXZ4u1z3v4RheU10vF+CRFYMWOYQ79Xpq/7XE0D/vXtUew5Xo41c0aj6Gxtq2tOBUjFkie9+C10QuvbxHMhmFl8wZ0olKGmpgZhYWFOezxFBTs/Pz8MHToU27Ztk+bY6fV6bNu2DQ899JBnG0ekEHJCi637vFL6CnLqclodF8OFj0aF+kZtq0UdegE4fLISfzSoMeajUSO1SxiOlFSic2igzbYF+vlgnZnVmxEGKzVH9InDHZnJOFxSiQHdo4zCkFiyRM7EfXElqkgsBAy0LoUiivWNxYqUFdhRvcNsKJlfOB8rUlbghc8OoKFZh+7Rwbj3D2lYX7Ee55rPoUHfgEptJQDgku4SgjRBWJq8FI8kPALA9s/G16SXyN55X6b3F78WV8xq9cDrm49i4aQhmHhNDzRp9Sgoq0ZStN5ocYCcHSnk7hdrjfhhITI4AD1igmV/nyHBQv0+ccXr6u/ysHDSEIslZN79X75RqANaxubEEijciYLsoahgBwDz58/H9OnTkZGRgauvvhorV67ExYsXpVWyRNQ2L36ea3b1Y3JMiLRqdN6a3WjStt4Ls0dsKB65dSBy6nKshqJHbh2EmvpGZKbG4J/3j8C3B0vwvyOnkNi59cpArU6PfSfO4sMdv8raoxUwv3pTXKmZHBuCOeP7wUejxreXS384Ur5FDHAW22ChFIotYqkUvQAszr5KOp4dk232/vMLW6aavPf9cRSdqUHA5d641Phw/KFfPCKsbG3lTIbnfFd+OZZuOIDZY9LMllSxFJRMe6dshdTOPp3RJ7D1fr9i8BuYFIW/Txoq1TQ0vd3S9xmyFboeHNcXs9/cgbX/y8ddI1KNai6Kr/eLfSfNPp9Y9oU7UZA9FBfssrOzcfbsWSxatAjl5eUYNGgQNm/ejNhYXvhEbaXV6XFtWhdsO3Sq1ZDSn0b2wvnaBkSFBEAvCEZDXCKxMKwt/80pxlU9YxAapEJqlzCkdknHX8b1k8quGL65+2jUZnvgrBHLbMRHBiHocsmLxmYtai8148mJgxF5Oew0aVvmRMX6GhSONagRZ80Lnx1A6fmLRsf8fTVYMWMYgLb3Nv2/Pw4BYHtIOFDT0os5OLkzPvrxynnafrQM//4uDy9Nz0LvruHQqNUu7fUxLW2yK78ce46X46YhiXhoQjoASD9fZ/VOWdp+TXT/mDTsLajAso0HUVxRi6tSorFw0lC7htJtha6VM4fjs8fHA0CrOXbi65BT9oU7UZBcigt2APDQQw9x6JXIBmtDXZZus1Vf69eyaggCLNbFu2FQgqy23TS0u9EbrmGPjbk39eKKWnSLatlGyzQYxfrGIlATiHi/eABAVV0D7ru+Dz776TejHi9RiMHCiKcuhydH5rWVnr/YKtymdQ2X/t9WeLikk1d3Tm5vYnpipNmfW1q3CNlDn46yVCtREICMlBij53JX75QYIA3nvf2YV46Zq7bj4ZsHoG+3CNmvX27oMvd4tupIiospuBMFyaXIYEfUUTja62NtqAuAzWGwAd2jjN5g6xtbVhD2jA2Fj0aNqBB/s4WF+yfKW1F4orwaH+74FQKAblGdoNXp8cGOXxHk72P2DTcpJkRayWorMEUEByAiOMBoX1tr+7aKxJ4xudujmU5nN9wxY+H/7UVatwg8etsgrPzyEArKqo2GsgHn705hrZi23KFPR9lbcNcdvVOWAuSpynq8uy3frqLTtkKXGM4stcPWueFOFGQPBjuidsyR1ZeWhrqe+TgHGx4bh0Mnz1sdBss5cRbPfJyDfpcnnFfWNeBoSSUWTc6QtmQyFyLKqurxznd5mD3W8jZP4pBnapdw2fPlDN/07l21XRpaVQGYe3M6UruE2xyuPNN8xu5t0myF6tk39MW72/Jb7Zjx3IYDiAwJkMJMQ5MOJ8pr8KeRvYzeoJ2xMMCUuYUN7pqYb88uLe7qnXJGgLQWurJHpOBczSWbi3psnRvuREH2YLAj6mAs9VT0S4xEkL+PzWGwfYUV0AnAoZOVRvcxN0x2rLQSX+w7ifN1DThSUokesS0lhCyFk56BPQHILyUiljq5OjVGWnHYqNWhZ2wobhiUgJS4lhICju5da85Ffcu8OVuhum+3CKNen7KqemzY8xtmjUkzmqz/0I39MG10L3QJD7JrYYBc4hC0Je6cmG9pxawhd/ZOOSNAiqHLdMWrGOSXb8rFgomDZT2Ota89tX0htT8MdkQdkLmeCrkbszc2ty6yani7yEejRlq3CNRcasa6nYXw99Wgy+VAYyu02Api/zv0O87WNiB7eAre+PYoIoMDWq2wdJXSxlLcfvR2dFK3zOkzHJoVBAGHSyrxxb5iHPztLN6d8wdU1FzC21uPISTQD09NGiLNHYwLD8KsMWnoHBqA4MCW7brs3eNXzn1trc4FvGtivrt6p5wZIFUqFVLjwloF+aUbDqCytnWBZEfJCcZEDHZEHZC5ngq5G7P7+5p/MzHXy2Gpl8HSG5LcN9M/DOgm/f+TEwfjra15uHfVdowblICHbx5g93w4e5U2lrY6Zm5I89WvD2PhpCG445oeSIkLw96CCixZn4NhfeLwxMRB2FtQgWc37Ld7XpsgCDj2exUGdI9yypCtt03Md0fvlDMDpFanR2F5NZZvOoiIy9MTjpRUQhBaigxzDhy5E4MdkRu4csWhI20x11NxtKTSbFFgwLgX46qUGHy1v0R2L4c9vQxyz8mLn+diZ145kmJa3ojFQrAFZdUAnDv0WlXXIBUvtsbckKZYr23uhHSEdfLDsxv2Q6UCZl8us7HEgXltYoBcvfUY3p0zus1Dtt46Md8dvVPOCpBiSAQghcTe8eGcA0cewWBH5GKuXnFoL2s9FYF+Gpu9GN4wibu4ohYNzTrkn7qAJetz8HR2BmaNScNzn+43up+4GMNS7Tlrt4s9XtuPnMYd1/Sw2TMmCALiwoNa9Xztyi9HcIAP5t8yEMUVteifGIm4iCAs23jQoXltYoA8VVlvtFgEQKuVtXK094n5bQ2ezgqQnANH3oLBjsiFPLEVkJyFB7behKzd5m1vYAKA9ZcLwaZ1jZCOJ/gnSPXnbA3HWru9z+Xac7Z6xn4pPo9ZY/rgh2OnoTdJbH4GhWjlzmW0Rvze05X1RsdPVV7Eo7fZ/PZWvO1nKpf4oenHvDI8dtsgl+/fawvnwJE3YLAjciFPbAUkdxjS2puQvcOp5t7A2vIma++8MTEMzbmxv3RMXNwgpx17jpfj0MnzSO0Shqt6xiAkyE+6X6/4cHy29zeUnK3DwzcPMLulWn2TFmGBflg5czjSEyPxi8GKYRWuFOGdMiIFn/30G4C2zWuz9L1iuRlHtLdQYvihqWdcy2prZw7BE7VXDHZELuZNKw7dyZE32VdKX8G8hHk2g199k9boa2thSE47snrHIat3HADgvlXbERkSgKjgANxyVXdEBgfg7a15uK5vS9mQnXnlaGhuvQ9ulV8jAGDW2L5Y9c0Ri8PYAHCupgF3jUgxmmMHyJvXZm1O3K1XJQFoW6huLyx9aCLq6BjsiGRy9M3S21YcerOcuhyjUiIicXVrQdkFLPvsoNEQpLkwlByQDEHmW/5TRU+huKFY+jmGdfJHs1aPUf3jkdYtAks3HIBekL9quEdMiNmN7YErQ57WduewNa/N2py49Ms7e3SUnitLH5qIOjIGOyKZHHmz9NYVh67ijNdjrpSIKCUuDLPH9rU5yd+eXqnihmKjn+uKGcMAtLyWgrJqVNY2INBPA61OL2vVsI9GLW0hpTOzGhpoKdycf+oCRvaLNwqB9Y1a6PUCNBrrc9va65w4Z7MUsok6MgY7Ihdq7ysO7WE6kd0V5AaaFz/PhU6nx4I7hjj8XD4aNXrGhhoFL51Ob/PnKQgCCs/UILVLGH4+cbblfiarocXCzUs37Ecnf1/0ig9DRs9opHWLkH1NtLc5cea0ZchYq9NLw9lEdAWDHZGdEvwTjIYKLZXSELm7d8UVe4zaYm4iu6uIAUan10OjVpsNNDvzytEtqlOr444+l0jshbP08xTPQ1J0iNU6dVf1jLZ6TXii7qEn5uW1ZcjYcCuvXXllADxz7RN5GwY7Ijsk+CdgU79Ndn+fO3tXPDE53txEdle8yRoWJn5wfD/0jA01OpfiEGhSTIg07OnMdgiCgH0nzmLdrkKpp+2qyz1tQMt52FdYgWt6xdpdp058HZ6qe9je5uWJ+wQnR4cg6/L5VMrCEKK2YLAjsoM9JTSUyFpPkjiRXVyx6sh5sBXCxMLEUSEBSO0ShoYmnVF7GrV6+AGYMiIFq7cek9WOi/qLstpmriZhzomz+OjHwpZeuJRoaNRqaS9dR1ZDO6vuYUfoufLRqNGrS8s2bRv2nECgvw+C/X2QlhCJ9MRIRU1zILIHgx2RTIYrLdtb74Yz2OpJEieynzbZEcGe3RDklDlRq4C/3tgfKgC/nDxvNIftrhEpuCY1RiorsmrzEcwZ39/oMVadWoXTTacBAJd0l9BJ3Ql9AvvYDD2mvZLxkUHSa9yZVyb1wnWLCgIAXJUSjR/zyls9jrXV0M6qe6jkDxeGXD3NwfSDjNgjbOt+SlsURe0Lgx2RTB3lzdIcOT1JhqtFxXIkKgB/GtmrzW9089bsxoX6RpyurMfApEiEBPriJzNz2JZYmcMmmtN1jsPtEHvh4iODsGbOaLP3uWtEKgBg4aShmLlqO07ZKM0CmO/5bPXcCq976ChXTXMQBAEnztQgKjgAnUNbdgvRaNStfnaODJ131B5/cg8GOyKySU5PkitX/8ZHBqFJq0NKXChG9esKH40a2w79brU9Cz/6GbFhgRg/OBEpcaHQ6wUUlFdj097Wb6h/zOqB5JhQm6FA7JUUe+psvUE/fPMAfLGvGJV1jYiPCMINgxJaDROKwWBfYQX+OiHdqXUPvT1AeOuQsTh/L/XyUO+zG/abDW2ODp13xB5/ch8GOyILOLxizFZPkiuHxcyVT1k4aSjuXbW91X6pYns6+fviy/0l+Gp/ifQm+90vv2PHsbJWe7mWX7hkVNbEHMOahCJbb9B9u0VgQPcoq4+rUqmweusxlFXV486sng7vSGGOPQHCEyHLG8KlOT4aNaKCA6yubBZDm7u3DCSyxWnB7sKFCwgPD3fWwxF5lLnhlfuu72PzTVrJ5PQkOXtYzFaPk9hzZq494k4Rhm+yD01Ix6Ssnlj9XR525V+Z/yZnmNOwJuHOy+U15HyPnNdxTa9YfPpTEVZ/l4eFk4bg6ewMrHdh3cNY39aBw1tDlqd0Dg3Asxv22wxtHDonb+NQsPvHP/6BpKQkZGdnAwAmT56MTz/9FHFxcfj6668xcOBApzaSyJ0sDa+s3nIMr8+6FoD9vRvuGhJzVS+jp3bQsNXjZBpzVACyR6SgrKoeR0oqpePim+x73x9Hr/hwLJw0BEs3HJDCndxhTnO9kta89/1xTB/V2+brmJiZjI17i7ArvxxLNxzA7DFpFrcla6sE/wSsSFnhlMdSOjmhjVsGkrdxKNi9+eab+PDDDwEAW7duxdatW/HNN9/g448/xmOPPYYtW7Y4tZFE7mRteEVkbxhzx5waV9Y/89YdNGbf0Bc/HD2NRq0e/j5qDE1pWREr7u8qEt9kj5RU4qMfC/F0dgZmjUnDnuPlEAT7wqk9AbasUl4plejQQPRPjMShk5XYlV+OPcfLcdOQRDw0Id3s/dsSpDt6yR45DOshWgttug62ZSC1Dw4Fu/LyciQkJAAAvvzyS0yePBk33HADkpKSkJmZ6dQGEnmCtc3F5xfOx5nmM62OixvVe4Kz6p9Z4437k5rOYWvW6fHpnt+MhllNe/EEAOt3FmLlzOG4aUgiMi6HQU/XPYsMDpD+XxCAjJQY6HR6qNUqlwR2TuC3TFz9Kie0OfKBx5sXjXBecfvnULCLiIhAaWkpEhISsHnzZixd2vLpThAE6HQ6pzaQyBOsbS5+pvmM170humsSt7ftT3rs9yr8e1u+UeCZlNUDtZea8EXOSSRFhyD78pusYS+eOJT20IT0NoVTZ75BhwT4INBPYxQMdHoBewsqHA7s5tphaws8aiE3tDnygccbe0Q9teMJOZ9Dwe6OO+7A3XffjdTUVJw/fx433ngjAODgwYNISUlxagOJ3M3aJ3Vv5g2TuOUM7zmzV2D1lmMoKK8BYBx4po3qjZnXpwEAyqrqjebTAZYXfNjbNltv0A3N8j7oanV6PDQhXRp6FYOBj0bVpsDujQGiPZEb2jz9gaetv1Pu6PEn93Eo2L3yyitISkpCaWkpli9fjuDgYABAWVkZHnzwQac2kMjdLH1Sn3l9HwDye2ncPYzhDZO4bQ3v2dsrYOtcWws8dZeacPJcHR57bw90Bne0NP/JWT0WWp0ex36vwsovDyFQ3H3DxuuwFgwSooLh56PGkZJKo3mDXHXZwtXDh54ObbY447pl2RZlcSjY+fr64tFHH211fN68eW1uEJE3sPRJHbDdC/KXt36Av6/G6I+rq+fUeGrVqr0Ol1S26hV45uMcvDQ9C727hkOjNm6jnC3GTImBp/hsLfolRGLRZNvzn5zZY+GjUSM9MRJ/m5COL/eflPU6zBF/Zo/e1lJloLyq3qhMC1ddGoeaxmYdesaFYpyZItBK5czr1ht6/Mk5ZAe7L774QvaD3nrrrQ41hsibyP2kLvbQrN5yDBebtFLB3MXrc/DCPZkYlNzZ5UNi3rpq1dS3uaVGwXN4nzjMHpOGuIgg6ZjcELp0w/5WxYmBK4EnrWsE9HpB9lCaM3ssVCoVBiV3xqDkzkbPK/dN1lwvzF0jUqQyLbvzy9sc2L11Ar9cYqj57KffkNY1An8Z19cpj2vPamFPf2By5nXrDT3+5Byyg93tt98u634qlYoLKKhD8dGo8e9t+dJcL5EAYO3241hp8ObuSq5aterMshiGQWx4nzgsnDQEewsqsGzjQbuGkbQ6PcYM6IadeeWteiizR6TgXM0ldA4NNPu9ztyj1Z5zIzcAWOqFWbI+B09nZ+DBcX1xw8BubQ7s7X3+nY9GjZS4MCyfliUdc8a1ams6wYuf52JnXrnXLC5wRk9be+nxJ3lkBzu9Xu/KdhC1a94yjOGK+UDOLIsRHxmEY79XQa0CZo9Jk7VlkzliD6XpDg3iCtjlm3KxYOJgq21xxh6trigZYq0XRizTEtHJv01hQgllLQShZe/fZzfsh1qlwiv3DnNLCZfiilo0NOu8ZnFBcmwIfDVqRAYHoLKuQZqLaU9PW3vp8Sd5uFcskRPYGwqU8MZqjq3hvXGDErDt0Cn0T4xEXEQQlm086PAwkkqlQmpcmNEODeIK2MraBqvfa9grplLB6Xu0tpWtDwqaNrRFCWUtxJ+f+PNKiQv1SDs8vbhAp9Pj+bszEeR/5a28vKoeb3+Xh7EDu9l13XpjnUpyjMPB7uLFi9ixYwdKSkrQ1NRkdNvf/va3NjeMqL2wdxjD1W+sngyNtoa70hMjsTg7A7+evgCgbT2dWp0eheXVWL7pICIMeisEAVicnWH1dRv2igkC3LZHq1yumu/kTWUt2nKdWurV9ARPLi5Qq1U4dPK82bmYAOy+br19BTDJ41CwO3jwICZMmID6+npcvHgRkZGROHfuHIKCghATE8NgRx2KOIyxfNo1+GJfMXJOnHXL6ktD4puit/fGmPYKtCXAiOcdgDR81Ds+XHYYMwyV7tijVS5XznfylrIWzrhOre0O406eWlxgbS7mlb8lnv+dJ/dzKNjNmzcPt9xyC958802EhYXhp59+gq+vL+655x7MnTvX2W0k8noqlQoDukcZbW/ljtWXwJU3yZS4MBSUVzs0Z82dxDY4I8C0ZfjINFSa26PVE+fL1fOdPD0f1FkfbqztDtMW9qwW9uTiAm8J6eR9HAp2ubm5eOutt6BWq6HRaNDY2IgePXpg+fLlmD59Ou644w5nt5PIa8hdeWfpD70z31gNSz4sn5aFZzfst/sPva0hMVeVxXBWgHFk+MhSqBT3aJX7Ru2qc+PK+U6eLmvhjEBi6efnjJ+HrekEXSKCcKryotVeeXdNhfB0SCfv5HCBYvXlQqIxMTEoKSlBWloawsLCUFpa6tQGEnmbtq68c+Ybq/gmGRfeUgfO3j/0cobE7CmL4UgNME9M2DYcPt+SW4oTZ2rg76OxO1S6smSIK+Y7WeslzR6RgvpGLfx81C7vfWprIDH9UNCobSmx5eoSLlqdHgsnDTX62vBacfdUCE+HdG/gzHJMSuFQsBs8eDD27duH1NRUjBw5EosWLcK5c+fw/vvvo3///s5uI5FiuGL+VHFFLfx8Wr7Hnj/0rpjvJzf0Gr4BlpytxR/Su2L84ESkxIW6bUhL7vC5ktgqE7P2f/nSHruu5IxAYqlX05XXj7Ww7e6FKaw918IdJW7aG4eC3fPPP4/a2pZPVs899xymTZuGBx54AKmpqXj33Xed2kAiJXHF/KmkmBAcKalEeVW9XSU7PDVHx9wb4Jf7S/DV/hKXzgWU88m+I7wRqlQq9IgJMVsm5sBvZ10e7JwZSLxpFae7f59Ye44scSjYZWRkSP8fExODzZs3O61BRErnzPlThm+SjpTs8MQcHU8FSn6yb6l7ptGosWzjQbNFbdO6hru8DUoOJO78ffLkVAbybixQTIrnjcWAndXTYPomuXxTLu6/Xn7JDk/N0eGkb8/QaNTQ6vS4a7hnh/DcUQzXE7/37vp98oapDOS9HAp2ycnJVn8Bf/vtN4cbRORMrpjM7G2bp5t7kxR7ZgDLodGTc3Q46dtzvKXHzJXDqJ6o5+iu3yd3TmXwxg/FZJtDwe7hhx82+rq5uRkHDx7E5s2b8dhjjzmjXURt5qrJzN640sr0dcjZcsoVb/ByQi8nfXuekreP8tTuGu4KzO6ayuDtxc5F3vZB2xs4FOwsFSFetWoVcnJy2tQgImdhAU/bnP0GLyf0ekuPUUfnTQsPnMmTv/fuCsyunsrgTVvP2eKNH7Q9zalz7G688UY8+eSTWLNmjTMflshhnMtlmyfe4D3RY8RP9h2HJ3/v3fH75OqpDPxQ3L45Ndht2LABkZGRznxIojbhXC7v5e5AyU/2HYeSf+8NpzKoVED/xEhEBgegqq4Bd1zTw2lTGZy9Qw7n6rmPwwWKTattl5eX4+zZs/jXv/7ltMYRtQXnchF1PEr/vRenMrx633BEBQegc2iAdJszX5uzwrGjc/UYBh2nEgTBtLfVpiVLlhh9rVarER0djVGjRqFPnz5Oa5wn1NTUICwsDNXV1QgNDfV0c6iNBEHA3oIKzuXqALi1EIk6wu+9+BpdsbjB3Bw7oCUc2zPHztHHceVr80bOzh0OBTslY7BTHn7y6xim5k01W4C4T2AffJj2oQdaRJ6k5N97c4EpPjIInfx8MPuGvujbLcLqa5dzLpwVjue+u8tsz19a13CjeptiuwA4JVS2J87OHbKHYmtqamQ/KAMReROlrv5zBiW/+VHHpuTfe9PFDfGRQVgzZ7TV+wPAX976Af6+Glm9X85a4CR3rp4gCPj19AX0TYjkwo02kh3swsPDZf9AdTqdww0iIvdoL3WqiKg1w8AU5NfyVm5rOoJGrbKrbIkzwrGcuXpiD+T3R06jb0Ikqxm0kexgt337dun/i4uLsWDBAsyYMQNZWVkAgD179uC9997DsmXLnN9KInKq9lSniohaMxeY5O6H7K7eL7kLWcQeSD+flr85Sl7V7A6yg93IkSOl/3/mmWewYsUKTJkyRTp26623Ij09HatXr8b06dOd20oicipvq1PFhQ9E8lkKTPZwV00/ucXIiytq0aTVobyqHneNSMESha5qdgeHyp3s2bMHb775ZqvjGRkZuP/++9vcKCJyPW8a7pDb02ANCxBTR2EamNRq+6dOuKv3S+5cPbGXbvV3eVg4aQiezs7AegWvanYlh4JdQkIC3n77bSxfvtzo+DvvvIOEhASnNIyIXEtpwx3s2aOOxFxgkv29cG/vl625eoY9kLvyy7F0wwHMHpNmtGpWKXsZu4NDwe6VV17BH//4R3zzzTfIzMwEAPz8888oKCjAp59+6tQGEpHzKb2Iq6tx6Ji8gb2/o/6+GqR1Dfe63i/THsgDv53FPzY1YNaYNKR1i4BKpeLfIzs4FOwmTJiAX3/9FW+88Qby81uGT2655Rb85S9/YY8dUTtgz9wXas0ZQ8dEzmZrOsKKGcMAOL/3yxllkzyxf7RSObxXbEJCAp5//nlntoWI3Ih/SImURW5vsTN7v5xZNknJtQfdSXawO3ToEPr37w+1Wo1Dhw5Zve+AAQPa3DAicj1v+UPKhQ9E7Q/LJnkn2cFu0KBBKC8vR0xMDAYNGgSVSgVzu5GpVCoWKKYOhbs3tB3npRG1P95WNolayA52RUVFiI6Olv6fiLh7AxF1bN5UNolayA523bt3N/v/RB0VhyE6nlWnVmFO1zkcOu5AuALaOtOySWoV0D8xEumJkZ5rVAfn0OKJ9957D507d8ZNN90EAHj88cexevVq9O3bFx999BGDH3UIHIboeE5cOgGAQ8cdCVdAW2ZaNml4nzjMHpOGuIggo/vwA657ORTsnn/+ebzxxhsAWnaheP3117Fy5Up8+eWXmDdvHj777DOnNpLIW3EYomM503wGtx+9HZ3UnYyOJwUk4bnk5zzUKmpPlDQn17Bs0rHSSsz4Qx/sLajAso0HOTXFgxwKdqWlpUhJSQEAbNq0CZMmTcLs2bMxfPhwjBo1ypntI/JqStu9gWwrbSz1dBPaDQ5jGlPinFyxbFJGz2j8XFBhtMcrp6Z4hkNnOTg4GOfPnwcAbNmyBWPHjgUABAQE4NKlS85rHZEXE4chTP8cG+7eQNQRide+OIxp+s9c2FM6rU6PvQUVWLw+B/mnLqChWScFn70FFe3674WPRm1zagpDnfs4dKbHjh2L+++/H/fffz9+/fVXTJgwAQBw9OhRJCUlObN9RF7LcBgirWs4Av1atutZnJ2BzNQY/iGjDovXfmtKDj46fUso5dQU7+DQUOyqVauwcOFClJaW4tNPP0VUVBQAYP/+/ZgyZYpTG0jkzbh7Q8cyLHQYkgKScEl3CWeaz0jHuRpWuZy5AlqJwUcQBJRV1aNbVDCSY0OQ9/uFVvfh1BT3cijYhYeH4/XXX291fMmSJW1uEFF74y27N5Drzek6x9NNIDdz5lxApc3JFRd+dIsKBgA8f3cmXv7iF+zML5fuYzg1hX8b3cPhvWJ//PFHvPXWW/jtt9/wySefoGvXrnj//feRnJyMESNGOLONRERux4n/juObeGumpUFE7TX4WFoIsnDSEKz5Xz6+yDmJpOgQ3NXOF4e0Rw4Fu08//RR/+tOfMHXqVBw4cACNjY0AgOrqajz//PP4+uuvndpIIiJ3Y/0yx4kBhYWcrzCck7tuZyGKz9a22+Bjqzj7tFG9MfP6NOm+7em1KYFDwW7p0qV48803MW3aNKxbt046Pnz4cCxdyk+yRETEQs6mlDInV05x9m9zSzBuUGK76oVUCofO+PHjx3Hddde1Oh4WFoYLFy60tU1ERESKpJQ5ubYWgvSIDWvXJVzaM4euqLi4OBQWFrY6vnPnTvTo0aPNjSIiIiLvlRRjfsGHuBAkJS603YbW9s6hsz5r1izMnTsXe/fuhUqlwunTp/Hhhx/ikUcewQMPPODsNhIREZGX0Or0uHd0b6vF2dvb8LKSODTHbsGCBdDr9bj++utRX1+P6667Dv7+/njsscdw//33O7uNRG6npP0cyTGc+E9kno9GjUHJnfHCPZlYu/14u14IokQqQRBM5z/K1tTUhMLCQtTV1aFv375466238OKLL6K8vNz2N9vpueeew1dffYXc3Fz4+fmZnctXUlKCBx54ANu3b0dwcDCmT5+OZcuWwcdHfn6tqalBWFgYqqurERoa6sRXQO2FIAjYW1ChqP0cSVn4wYPcwVbJH16HzuHs3GFXj11jYyMWL16MrVu3Sj10t99+O9asWYOJEydCo9Fg3rx5bW6UOU1NTbjzzjuRlZWFf//7361u1+l0uOmmmxAXF4fdu3ejrKwM06ZNg6+vL55//nmXtImUx9Yyfm5kTZ6mxI3kyTvZKvmjlIUgSmPXT2HRokV44403kJSUhKKiItx5552YPXs2XnnlFbz88ssoKirCE0884ZKGLlmyBPPmzUN6errZ27ds2YJjx47hgw8+wKBBg3DjjTfi2WefxapVq9DU1OSSNpHyKHk/R2r/lLyRPBE5h13vUp988gn+85//YMOGDdiyZQt0Oh20Wi1++eUX3HXXXdBoNK5qp0179uxBeno6YmOv1AcaN24campqcPToUY+1i9ofJe7nSMrADx5EZItdQ7G///47hg4dCgDo378//P39MW/ePK/o/i8vLzcKdQCkr63N+WtsbJR2zgBaxrqpY1Pafo6kLPzgQUTW2PXxTqfTwc/PT/rax8cHwcHBDj/5ggULoFKprP7Lz3ftlj7Lli1DWFiY9C8hIcGlz0feTdzP0doyfiJPslU/jMhZYn1jbd+JvI5dPXaCIGDGjBnw9/cHADQ0NOAvf/kLOnXqZHS/zz77TNbjPfLII5gxY4bV+8gteBwXF4eff/7Z6NiZM2ek2yx58sknMX/+fOnrmpoahrsOTEn7OZLyKG0jefJuK1JWYH7hfJxpPmN0nCV/vJtdwW769OlGX99zzz1tevLo6GhER0e36TFEWVlZeO6551BRUYGYmBgAwNatWxEaGoq+ffta/D5/f38pqBIBytnPkZSHHzzI2WyVNFmRssIDraK2sCvYrVmzxlXtsKmkpASVlZUoKSmBTqdDbm4uACAlJQXBwcG44YYb0LdvX/zpT3/C8uXLUV5ejoULF2LOnDkMbmQ3LuMnb8UPHuRMtkqaUPvj0M4TnrBo0SK899570teDBw8GAGzfvh2jRo2CRqPBl19+iQceeABZWVno1KkTpk+fjmeeecZTTSYicgl+8FAGFvglV2g3wW7t2rVYu3at1ft0794dX3/9tXsaRERE5CAWmiZX4UcDBTNdwckVnUREnsdC0+RK7abHjuzDT4PkShxCInKcrULThvMniezFYKdA3O+UXIkfGojazlsKTVsqXcKSJu0Xg50C8dMguQo/NBA5h9wdbmyVI2krZzwGeRcGO4Xylk+DpCz80EDUdvYUmmY5ErIXP1orFLcdIlfhhwaitjEsNJ3WNRyBfhqkdQ3H4uwMZKbGsNeb2oQ9dgrEbYfIleQOIRGRZSw0Ta7Cd3cF4qdBchXxQ4PpW4/hhwYikoeFpskV2GOnUPw0SK7AvUqJiLwbg52C8dMguQI/NBC5D8uRkL0Y7IjIbvzQQOQeLEdC9uJfYyIiIiKFYLAjIiIiUggGOyIiIiKFYLAjIiJqJ0xLCrHEEJni4gkiIqJ2QBAE5Jw4i492FqK4ohZJMSGYwlJDZILBjkjBXL2BOJG7dPRrWavTI+fEWaMdhfJPXcDi9TlYnJ2BjJ7RXJ1OABjsiBSNG4iTUnT0a9lHo8ZHOwuNtokEAAHAup2FRnUlqWNjvCciImoHggN8oTYz4lp8ttb9jSGvxWBHRETkpQwXRzx399VYM2c0hveJM7pPUnSIu5tFXoxDseRRHX3eDBGRJeYWS9w1IgULJw3B0g0HsCu/HCoAd41IgVan5xw7AsBgRx7W0efNEBGZY2mxxJL1OXg6OwOzx6ahqq4B2cO5KpaMMdgRKRg3ECel6GjXsrXFEut3FmLlzOF45d7h0Or0DHVkhMGOSME4nE1K0RGv5eIK84siDBdLcPiVTPGKICIi8kJJMeYXRXCxBFnDYEdERORltDo9poxIgekgq+FiCSJzOBRLHtXR5s0QEZkyXdEqfp2ZGoPF2RlYt7MQxWdrkRTdsiqWiyXIGpUgCKZzMzu0mpoahIWFobq6GqGhoZ5uDlG7YukNiojMEwQBewsqLO7/yt8p5XN27mCwM8FgR+QYW29QRGTMXEkToGW4lfu/dhzOzh28YoiozbQ6PfYWVGDx+hzkn7qAhmadtEH53oIKzgciMsPW/q8MdeQIXjVE1GZ8gyJyjJySJkT24F9bInIKvkER2Y8lTcjZGOyIyCn4BkVkH5Y0IVdgsCOiNuMbFJH9DEuapHUNR6CfBmldw7E4OwOZqTGcwkAO4apYE1wVS+QYcVUsa24R2YclTTo2Z+cOFigmIqdQqVTI6BmNa3rFSse4QTmRbaYhjqGO2oJXDxE5Dd+giIg8i391iYiIiBSCwY6IiIhIIRjsiIiIiBSCwY6IiIhIIRjsqN0yrY3GWmlERNTRsdwJtUuCICDnxFl8tLMQxRW1SIoJwRTWTCMiog6OPXbU7mh1euwtqMDi9TnIP3UBDc065J+6gMXrc7C3oII9d0RE1GEx2FG746NR46OdhTDdMkUAsG5nIWunERFRh8V3QGqXiitqzR8/a/44ERFRR8BgR+1SUkyI+ePR5o8TERF1BAx21O5odXpMGZEC0yUSKgB3jUjhHDsiIuqwGOyo3fHRqJGZGoPF2RlI6xqOQD8N0rqGY3F2BjJTYzjHjoiIOiyWO6F2SaVSIaNnNK7pFSsd0+r0LHVCREQdGrs2qN0y7ZljTx0REXV0fCckIiIyg7vbUHvEoVgiIiIT3N2G2iv22BERERng7jbUnjHYERERGeDuNtSe8eokIiIywd1tqL1isCMiIjLB3W2ovWKwIyIiMsDdbag9Y7AjIiIywN1tqD1juRMiIiIT3N2G2it+7CAiIjKDu9tQe8SrlIiIiEghGOyIiIiIFILBjoiIiEghGOyIiIiIFILBjoiIiEghGOyIiIiIFILBjoiIFMd0dwjuFkEdBQsUExGRogiCgJwTZ/HRzkIUV9QiKSYEU0akIDM1hgWGSfHYY0dERIqh1emxt6ACi9fnIP/UBTQ065B/6gIWr8/B3oIK9tyR4jHYERGRYvho1PhoZyEEk+MCgHU7C7l7BCker3AiIlKU4opa88fPmj9OpCQMdkREpChJMSHmj0ebP06kJAx2RESkGFqdHlNGpMB0iYQKwF0jUjjHjhSPwY6IiBTDR6NGZmoMFmdnIK1rOAL9NEjrGo7F2RnITI3hHDtSPJY7ISIiRVGpVMjoGY1resVKx7Q6PUudUIfAjy5ERKQ4pj1z7KmjjqJdXOnFxcW47777kJycjMDAQPTs2RNPP/00mpqajO536NAhXHvttQgICEBCQgKWL1/uoRYTERERuV+7GIrNz8+HXq/HW2+9hZSUFBw5cgSzZs3CxYsX8dJLLwEAampqcMMNN2DMmDF48803cfjwYcycORPh4eGYPXu2h18BERERkeupBEEwrePYLrz44ot444038NtvvwEA3njjDTz11FMoLy+Hn58fAGDBggXYtGkT8vPzZT9uTU0NwsLCUF1djdDQUJe0nYiIiAhwfu5oF0Ox5lRXVyMyMlL6es+ePbjuuuukUAcA48aNw/Hjx1FVVWXxcRobG1FTU2P0j4iIiKg9apfBrrCwEP/85z/x5z//WTpWXl6O2NhYo/uJX5eXl1t8rGXLliEsLEz6l5CQ4JpGExEREbmYR4PdggULoFKprP4zHUY9deoUxo8fjzvvvBOzZs1qcxuefPJJVFdXS/9KS0vb/JhEREREnuDRxROPPPIIZsyYYfU+PXr0kP7/9OnTGD16NIYNG4bVq1cb3S8uLg5nzpwxOiZ+HRcXZ/Hx/f394e/vb2fLiYiIiLyPR4NddHQ0oqOjZd331KlTGD16NIYOHYo1a9ZArTbubMzKysJTTz2F5uZm+Pr6AgC2bt2K3r17IyIiwultJyIiIvI27WKO3alTpzBq1CgkJibipZdewtmzZ1FeXm40d+7uu++Gn58f7rvvPhw9ehTr16/Hq6++ivnz53uw5URERETu0y7q2G3duhWFhYUoLCxEt27djG4Tq7WEhYVhy5YtmDNnDoYOHYrOnTtj0aJFrGFHREREHUa7rWPnKqxjR0RERO7COnZEREREZBaDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFC+Hi6AURE5B4LixaiqKGo1fHkgGQsTV7qgRYRkbMx2BERdRBFDUXIv5Tv6WYQkQtxKJaIiIhIIRjsiIiIiBSCwY6IiIhIIRjsiIiIiBSCiyeIiDqI5IBku44TUfvDYEdE1EGwpAmR8nEoloiIiEgh2GNHRKQALD5MRACDHRGRIrD4MBEBHIolIiIiUgwGOyIiIiKFYLAjIiIiUggGOyIiIiKF4OIJIiIFYPFhIgIY7IiIFIElTYgI4FAsERERkWIw2BEREREpBIMdERERkUIw2BEReSGtTm/1ayIic7h4gojIywiCgJwTZ/HRzkIUV9QiKSYEU0akIDM1BiqVytPNIyIvxh47IiIvotXpsbegAovX5yD/1AU0NOuQf+oCFq/Pwd6CCvbcEZFVDHZERF7ER6PGRzsLIZgcFwCs21kIHw3/bBORZfwLQUTkZYoras0fP2v+OBGRiMGOiMjLJMWEmD8ebf44EZGIwY6IyItodXpMGZEC0yUSKgB3jUjhHDsisorBjojIi/ho1MhMjcHi7AykdQ1HoJ8GaV3DsTg7A5mpMZxjR0RWsdwJEZGXUalUyOgZjWt6xUrHtDo9S50QkU386EdE5IVMe+bYU0dEcvAvBREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKQSDHREREZFCMNgRERERKYSPpxvgbQRBAADU1NR4uCVERESkdGLeEPNHWzHYmTh//jwAICEhwcMtISIioo7i/PnzCAsLa/PjMNiZiIyMBACUlJQ45QSTeTU1NUhISEBpaSlCQ0M93RzF4nl2H55r9+B5dh+ea/eorq5GYmKilD/aisHOhFrdMu0wLCyMF7IbhIaG8jy7Ac+z+/BcuwfPs/vwXLuHmD/a/DhOeRQiIiIi8jgGOyIiIiKFYLAz4e/vj6effhr+/v6eboqi8Ty7B8+z+/BcuwfPs/vwXLuHs8+zSnDW+loiIiIi8ij22BEREREpBIMdERERkUIw2BEREREpBIPdZc899xyGDRuGoKAghIeHm71PSUkJbrrpJgQFBSEmJgaPPfYYtFqtexuqAKtWrUJSUhICAgKQmZmJn3/+2dNNavd++OEH3HLLLYiPj4dKpcKmTZuMbhcEAYsWLUKXLl0QGBiIMWPGoKCgwDONbceWLVuGq666CiEhIYiJicHtt9+O48ePG92noaEBc+bMQVRUFIKDg/HHP/4RZ86c8VCL26833ngDAwYMkGqoZWVl4ZtvvpFu53l2jRdeeAEqlQoPP/ywdIzn2jkWL14MlUpl9K9Pnz7S7c46zwx2lzU1NeHOO+/EAw88YPZ2nU6Hm266CU1NTdi9ezfee+89rF27FosWLXJzS9u39evXY/78+Xj66adx4MABDBw4EOPGjUNFRYWnm9auXbx4EQMHDsSqVavM3r58+XK89tprePPNN7F371506tQJ48aNQ0NDg5tb2r7t2LEDc+bMwU8//YStW7eiubkZN9xwAy5evCjdZ968efjvf/+LTz75BDt27MDp06dxxx13eLDV7VO3bt3wwgsvYP/+/cjJycEf/vAH3HbbbTh69CgAnmdX2LdvH9566y0MGDDA6DjPtfP069cPZWVl0r+dO3dKtzntPAtkZM2aNUJYWFir419//bWgVquF8vJy6dgbb7whhIaGCo2NjW5sYft29dVXC3PmzJG+1ul0Qnx8vLBs2TIPtkpZAAgbN26Uvtbr9UJcXJzw4osvSscuXLgg+Pv7Cx999JEHWqgcFRUVAgBhx44dgiC0nFdfX1/hk08+ke6Tl5cnABD27NnjqWYqRkREhPDOO+/wPLtAbW2tkJqaKmzdulUYOXKkMHfuXEEQeE0709NPPy0MHDjQ7G3OPM/ssZNpz549SE9PR2xsrHRs3LhxqKmpkT5BknVNTU3Yv38/xowZIx1Tq9UYM2YM9uzZ48GWKVtRURHKy8uNzntYWBgyMzN53tuouroawJU9pvfv34/m5majc92nTx8kJibyXLeBTqfDunXrcPHiRWRlZfE8u8CcOXNw0003GZ1TgNe0sxUUFCA+Ph49evTA1KlTUVJSAsC555l7xcpUXl5uFOoASF+Xl5d7okntzrlz56DT6cyex/z8fA+1SvnE69Pceee16zi9Xo+HH34Yw4cPR//+/QG0nGs/P79W83R5rh1z+PBhZGVloaGhAcHBwdi4cSP69u2L3NxcnmcnWrduHQ4cOIB9+/a1uo3XtPNkZmZi7dq16N27N8rKyrBkyRJce+21OHLkiFPPs6KD3YIFC/CPf/zD6n3y8vKMJi8SEckxZ84cHDlyxGiODDlX7969kZubi+rqamzYsAHTp0/Hjh07PN0sRSktLcXcuXOxdetWBAQEeLo5inbjjTdK/z9gwABkZmaie/fu+PjjjxEYGOi051F0sHvkkUcwY8YMq/fp0aOHrMeKi4trtXpTXK0SFxfnUPs6ms6dO0Oj0bRa5XPmzBmeQxcSz+2ZM2fQpUsX6fiZM2cwaNAgD7WqfXvooYfw5Zdf4ocffkC3bt2k43FxcWhqasKFCxeMPnnzGneMn58fUlJSAABDhw7Fvn378OqrryI7O5vn2Un279+PiooKDBkyRDqm0+nwww8/4PXXX8e3337Lc+0i4eHh6NWrFwoLCzF27FinnWdFz7GLjo5Gnz59rP7z8/OT9VhZWVk4fPiw0erNrVu3IjQ0FH379nXVS1AUPz8/DB06FNu2bZOO6fV6bNu2DVlZWR5smbIlJycjLi7O6LzX1NRg7969PO92EgQBDz30EDZu3Ij//e9/SE5ONrp96NCh8PX1NTrXx48fR0lJCc+1E+j1ejQ2NvI8O9H111+Pw4cPIzc3V/qXkZGBqVOnSv/Pc+0adXV1OHHiBLp06eLca7oNCzwU5eTJk8LBgweFJUuWCMHBwcLBgweFgwcPCrW1tYIgCIJWqxX69+8v3HDDDUJubq6wefNmITo6WnjyySc93PL2Zd26dYK/v7+wdu1a4dixY8Ls2bOF8PBwo9XGZL/a2lrpmgUgrFixQjh48KBw8uRJQRAE4YUXXhDCw8OFzz//XDh06JBw2223CcnJycKlS5c83PL25YEHHhDCwsKE77//XigrK5P+1dfXS/f5y1/+IiQmJgr/+9//hJycHCErK0vIysryYKvbpwULFgg7duwQioqKhEOHDgkLFiwQVCqVsGXLFkEQeJ5dyXBVrCDwXDvLI488Inz//fdCUVGRsGvXLmHMmDFC586dhYqKCkEQnHeeGewumz59ugCg1b/t27dL9ykuLhZuvPFGITAwUOjcubPwyCOPCM3NzZ5rdDv1z3/+U0hMTBT8/PyEq6++Wvjpp5883aR2b/v27Wav3+nTpwuC0FLy5O9//7sQGxsr+Pv7C9dff71w/Phxzza6HTJ3jgEIa9aske5z6dIl4cEHHxQiIiKEoKAgYeLEiUJZWZnnGt1OzZw5U+jevbvg5+cnREdHC9dff70U6gSB59mVTIMdz7VzZGdnC126dBH8/PyErl27CtnZ2UJhYaF0u7POs0oQBKFtnYlERERE5A0UPceOiIiIqCNhsCMiIiJSCAY7IiIiIoVgsCMiIiJSCAY7IiIiIoVgsCMiIiJSCAY7IiIiIoVgsCMiIiJSCAY7IlKcGTNm4Pbbb5e+HjVqFB5++GG3t+P777+HSqXChQsXXPYcxcXFUKlUyM3NddlzEFH7wWBHRG4xY8YMqFQqqFQq+Pn5ISUlBc888wy0Wq3Ln/uzzz7Ds88+K+u+7ghjRESu4uPpBhBRxzF+/HisWbMGjY2N+PrrrzFnzhz4+vriySefbHXfpqYm+Pn5OeV5IyMjnfI4RETejj12ROQ2/v7+iIuLQ/fu3fHAAw9gzJgx+OKLLwBcGT597rnnEB8fj969ewMASktLMXnyZISHhyMyMhK33XYbiouLpcfU6XSYP38+wsPDERUVhccffxymW2CbDsU2NjbiiSeeQEJCAvz9/ZGSkoJ///vfKC4uxujRowEAERERUKlUmDFjBgBAr9dj2bJlSE5ORmBgIAYOHIgNGzYYPc/XX3+NXr16ITAwEKNHjzZqpzl33303srOzjY41Nzejc+fO+M9//gMA2Lx5M0aMGCG9vptvvhknTpyw+Jhr165FeHi40bFNmzZBpVIZHfv8888xZMgQBAQEoEePHliyZInUeyoIAhYvXozExET4+/sjPj4ef/vb36y+FiLyDgx2ROQxgYGBaGpqkr7etm0bjh8/jq1bt+LLL79Ec3Mzxo0bh5CQEPz444/YtWsXgoODMX78eOn7Xn75Zaxduxbvvvsudu7cicrKSmzcuNHq806bNg0fffQRXnvtNeTl5eGtt95CcHAwEhIS8OmnnwIAjh8/jrKyMrz66qsAgGXLluE///kP3nzzTRw9ehTz5s3DPffcgx07dgBoCaB33HEHbrnlFuTm5uL+++/HggULrLZj6tSp+O9//4u6ujrp2Lfffov6+npMnDgRAHDx4kXMnz8fOTk52LZtG9RqNSZOnAi9Xm/n2b7ixx9/xLRp0zB37lwcO3YMb731FtauXYvnnnsOAPDpp5/ilVdewVtvvYWCggJs2rQJ6enpDj8fEbmRQETkBtOnTxduu+02QRAEQa/XC1u3bhX8/f2FRx99VLo9NjZWaGxslL7n/fffF3r37i3o9XrpWGNjoxAYGCh8++23giAIQpcuXYTly5dLtzc3NwvdunWTnksQBGHkyJHC3LlzBUEQhOPHjwsAhK1bt5pt5/bt2wUAQlVVlXSsoaFBCAoKEnbv3m103/vuu0+YMmWKIAiC8OSTTwp9+/Y1uv2JJ55o9ViGmpubhc6dOwv/+c9/pGNTpkwRsrOzzd5fEATh7NmzAgDh8OHDgiAIQlFRkQBAOHjwoCAIgrBmzRohLCzM6Hs2btwoGP65v/7664Xnn3/e6D7vv/++0KVLF0EQBOHll18WevXqJTQ1NVlsBxF5J86xIyK3+fLLLxEcHIzm5mbo9XrcfffdWLx4sXR7enq60by6X375BYWFhQgJCTF6nIaGBpw4cQLV1dUoKytDZmamdJuPjw8yMjJaDceKcnNzodFoMHLkSNntLiwsRH19PcaOHWt0vKmpCYMHDwYA5OXlGbUDALKysqw+ro+PDyZPnowPP/wQf/rTn3Dx4kV8/vnnWLdunXSfgoICLFq0CHv37sW5c+eknrqSkhL0799f9msw9Msvv2DXrl1SDx3QMqTd0NCA+vp63HnnnVi5ciV69OiB8ePHY8KECbjlllvg48O3DCJvx99SInKb0aNH44033oCfnx/i4+NbBYVOnToZfV1XV4ehQ4fiww8/bPVY0dHRDrUhMDDQ7u8Rh0q/+uordO3a1eg2f39/h9ohmjp1KkaOHImKigps3boVgYGBGD9+vHT7Lbfcgu7du+Ptt99GfHw89Ho9+vfvbzSEbUitVrcKtc3Nza1ez5IlS3DHHXe0+v6AgAAkJCTg+PHj+O6777B161Y8+OCDePHFF7Fjxw74+vq26fUSkWsx2BGR23Tq1AkpKSmy7z9kyBCsX78eMTExCA0NNXufLl26YO/evbjuuusAAFqtFvv378eQIUPM3j89PR16vR47duzAmDFjWt0u9hjqdDrpWN++feHv74+SkhKLPX1paWnSQhDRTz/9ZPM1Dhs2DAkJCVi/fj2++eYb3HnnnVJ4On/+PI4fP463334b1157LQBg586dVh8vOjoatbW1uHjxohSUTWvcDRkyBMePH7f6swgMDMQtt9yCW265BXPmzEGfPn1w+PBhi+eViLwDgx0Rea2pU6fixRdfxG233YZnnnkG3bp1w8mTJ/HZZ5/h8ccfR7du3TB37ly88MILSE1NRZ8+fbBixQqrNeiSkpIwffp0zJw5E6+99hoGDhyIkydPoqKiApMnT0b37t2hUqnw5ZdfYsKECQgMDERISAgeffRRzJs3D3q9HiNGjEB1dTV27dqF0NBQTJ8+HX/5y1/w8ssv47HHHsP999+P/fv3Y+3atbJe5913340333wTv/76K7Zv3y4dj4iIQFRUFFavXo0uXbqgpKTE5oKMzMxMBAUF4f/9v/+Hv/3tb9i7d2+rdixatAg333wzEhMTMWnSJKjVavzyyy84cuQIli5dirVr10Kn00mP9cEHHyAwMBDdu3eX9XqIyIM8PcmPiDoGw8UT9txeVlYmTJs2TejcubPg7+8v9OjRQ5g1a5ZQXV0tCELLAoS5c+cKoaGhQnh4uDB//nxh2rRpFhdPCIIgXLp0SZg3b57QpUsXwc/PT0hJSRHeffdd6fZnnnlGiIuLE1QqlTB9+nRBEFoWfKxcuVLo3bu34OvrK0RHRwvjxo0TduzYIX3ff//7XyElJUXw9/cXrr32WuHdd9+1unhCdOzYMQGA0L17d6OFIoIgCFu3bhXS0tIEf39/YcCAAcL3338vABA2btwoCELrxROC0LJYIiUlRQgMDBRuvvlmYfXq1YLpn/vNmzcLw4YNEwIDA4XQ0FDh6quvFlavXi19f2ZmphAaGip06tRJuOaaa4TvvvvO6msgIu+gEgQLM4yJiIiIqF1hHTsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyIiIlIIBjsiIiIihWCwIyIiIlKI/w8ZaxmuvTU1YwAAAABJRU5ErkJggg==\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": "59e82b67-c3d9-4888-e747-5a5189ac287a" }, "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": "7e900eed-4887-4277-a0ce-eb6ba0b215e4" }, "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": "b06021db-0279-4f2a-ae51-74e8796f4eaa" }, "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": "3b2c1ba6-a161-4fdb-db20-b6d5a770ac90" }, "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": "f4126046-9e69-4e0f-f7c6-c88672707366" }, "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": "9cc202b9-b559-4fed-836a-a9f07ec1721a" }, "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": 487 }, "id": "hXeWrR-M1tKg", "outputId": "f67f4619-f32c-4f7b-c3cb-0f79153fdfc9" }, "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", "# 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": "cb41b1b9-52e2-4175-dc81-70d80938e060" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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iWCEhM4QI062lUuR8dQvqWrrEr21lijkSY26x9qdZShzPY9/pSpoDRRAEQQwrVCMzhEinWwsGd1kpOiTFhIvPmTkxAbfPyxRbrBca9EiKDsWZikZMSYsdrqXbIZcmcwTNgSIIgiB8BQmZIUaYbi0Y3C2fno66libx8ZbOHtx+4ziEadXoNPbji4t1eO69r3CxpgWvP7EAcZFav0gv0RwogiAIwh8gITMMMDAb3K2ck4GYcA1+/+558bFzVc24a9M+2dftK67EyjkZfiEIhDQZzYEiCIIghhOqkRliWIbBC7tK8cTLn+HrymZoglRo7eoVH3fWfu1PKRppmswZ/lakTBAEQYwsKCIzhPA8j/o2o+i5cuHDFsycmABdmCRF4yS84W8pGts0Gc2BIgiCIIYaEjI+xNa2H4Bdp8/xsjrMzgpcHxkeljlQ8ydi3+lKmgNFEARBDCkkZHyAI9v+e+dl2nX67Dp5FetuSZZ8x7mPjL8hiJT4SK3fzoEiCIIgRi4kZLyMM9v+228cZ9fpc766BUfOSTZ7G7+VQEnRSOc/+UvqiyAIghj5kJDxMizDYNOHJaJPjJTjZXVYaEix6/R59eBF8fMbM+Nxl8RHRkmKhiZPEwRBEKMVEjJeRFrMK8euk1dRkKu3MsQDAJMkCtPa2YO7Zo2HNkjlMkVDk6cJgiCI0Q4JGS/iyrb/fHUL9p2uxNpl8p0+ANDc2YNgtbkrXsU67o6nydMEQRAEQULGqyix7d+ypxSAdafP5SvBOGJ5fFKyTlFqyFkKS5g8zTDm9yEIgiCIkQoZ4nkRJbb9Jo7Hb3eV4KOvKhAXocF352bgwQWTxMeVpINo8jRBEARBmCEh40XkplvLwQCYNj7O3OnDsmCdpJDkoMnTBEEQBGGGhIwX8dS2XxqBURI9ocnTBEEQBGGGhIyXEWz7C/P0dpEZszvvgCeMHEqEjCeTpwmCIAhiJELFvl7GE9t+d7uKaPI0QRAEQZghIeMDBmPbryQiI01hyXUtCfjrWAOCIAiC8BYkZHyIUtt+d2tkAJo8TRAEQRAACRm/wBOh4e+Tp2lsAkEQBDEU+E2x7/PPPw+GYbBu3Trxe0ajEY8++ihiY2MRHh6OO++8E3V1dcO3yCHAHc8X2xTW40unYOWcDMRFaq0eH0qEwuL6NiO2HynHtr1nsP1IORrajADcOz+CIAiCcIVfRGT+9a9/4X//93+Rm5tr9f3169djz5492LFjB6KiovDYY4/h29/+Nj777LNhWqlv8CS1ZPt6f5g8TWMTCIIgiKFm2CMyHR0dWLVqFf70pz8hOjpa/H5raytefvllvPDCC1iwYAGmTZuGV199FZ9//jm++OKLYVyx9xkpmzrLMNi8qxT7S+xnSAljE7bsLh0x50sQBEEMP8MuZB599FEUFRWhoKDA6vunTp1CX1+f1fezsrKQlpaGY8eOOTxeT08P2trarP4FEoGaeqGxCQRBEMRwMKxC5p133sGXX36J5557zu6x2tpaBAcHQ6fTWX0/ISEBtbW1Do/53HPPISoqSvyXmprq7WV7nZEQoaCxCQRBEMRwMGxCprKyEmvXrsVbb70FrVbrteM+88wzaG1tFf9VVlZ67di+YrA1Mv4AjU0gCIIghoNhEzKnTp1CfX09pk6dCrVaDbVajUOHDmHbtm1Qq9VISEhAb28vWlparF5XV1eHxMREh8fVaDSIjIy0+hdIBKqQobEJBEEQxHAwbEJm4cKFKC0txenTp8V/06dPx6pVq8TPg4KCcODAAfE1Fy5cQEVFBWbNmjVcy/YJ7qSWeJ6HieOsPvoD7kz+prEJBEEQhLcYtvbriIgITJkyxep7YWFhiI2NFb//0EMPYcOGDYiJiUFkZCQef/xxzJo1CzNnzhyOJQ8JjoSJYCpX32bEvtOVaOroQUy4Bovzh9/8DqCxCQRBEMTw4Bc+Mo7YvHkzWJbFnXfeiZ6eHixevBgvvfTScC/L67iqkQkUfxYam0AQBEEMNQzvL7kJH9HW1oaoqCi0trb6bb1Mc3MzYmJiAABLlizB3r177Z6zaWex00hHYZ4eG1fk+WyNShFESl1rt9+NTSAIgiACB6X7t19HZEYjtrqS53nUtxkV+bPcN38i4iK1w55iAjyb/E0QBEEQ7jLshniE89RSoPqzMAwDFctafSQIgiAIb0NCxg9wtsm7488SrDILBn/saiIIgiAIX0CpJT9DLiLjyp9FxTJYV2RAYX6qWJvib11NBEEQBOELSMj4Ac5SS4I/y1uHyxyml9YVGXCLIQWbdhb7dVcTQRAEQXgbSi0NI0L6xxlSfxY5slJ0KMxPxdbdNHWaIAiCGH2QkBkGhILc+jYjth8pxx8+Pis+xls8Y2yfv365AYV5ejvn3OXT03GtuYumThMEQRCjEkWppQ8//NDtAy9atAghIeTgaoucuV1/T7f4eIexz9yujAE3X5ZhwAPYuCIP986faOXPcnNOMt4+Wm4XiclK0WH59HTMyExAmFaNTmM/6lu7EBuhgYoiMwRBEMQIQZGQuf322906KMMwKCsrw/jx4z1Z04iGZRhs+rDEytxOpRoIjKlZBtuPlNsV6wrI+bNIu5qkhb81TZ344MQV8ViL8vRQsSwV/hIEQRAjBsXFvrW1tYiPj1f03IiICI8XNJJxZG732K052P9f5s/PVjbhzcNl4mNyxbpCREVlabWWdjUJhb9vHS5Dgi4Et984TozIHC+rw4GSatwzZwIV/hIEQRAjAkVCZvXq1W6lie69916/HQcwnMiZ22Wl6FCQl+rwNUKxLsNAdgSBtKtpkqXwt/RqI1bNy7SLyBTk6lGQG4ozFY2Ykhbr/RMkCIIgiCGGZi0NITzPY9veM9j7ZYX4vaduy8O4GA0yUs3RLrU2DOEJY+1eywCYlKxDkFq+PruqsRNjoiPx0x8/jcWFi7B1d6ldKzYDoCBXj7XLDOjr5xASrKKoDEEQBOGXeH3W0l133YXvfe97WLx4MW1+HiJnbjcjMwHvfnYBDMuC5zj0GzvRcvVr2dd/cdX58a8AeGpDLc4//47sgEnb6I6J46jwlyAIgghoFLdfNzc3o6ioCGlpafjpT3+Ky5cv+3JdIxIhDSSVDmFaNdp6eKTNvA0Mqxr0e9TV1Stqxa5t6Ro2QSodn0BjFAiCIIjBoDgic+DAAVy9ehWvvvoqXn/9dfzyl7/E/Pnz8b3vfQ933nknNBrnNvqjHaHDSDC3EyImncZ+xIRrMOnWh5C56AHAyXjIVfMycM/sDKhYe/1pMBhw4cIF9PT1Kxow+UlJFVbOyQCGUMwI16C+zUhjFAiCIAiv4HGNzMGDB/HKK6/g/fffh0ajwcqVK7FmzRpMmzbN22scFP5QIyN4x2zeVYrc9BjcYkjBtj2l2F9chSdvy0O2PhprXvynUwHCAHj9iQWIi9TKbvY5OTk4e/YsNCFhmP/MX60ek/OUqWrsQFaKbsiEg/QaOKrdWb/cAJZhFK2J53lRGAkfSQQRBEGMHLxeI2PLggULsGDBArS3t2P79u34j//4D/zv//4v+vv7PT3kiEXqHXPwTDUAc43KyjkZKP6mEckxYVZRGjkW5emt/GTs3kOI0kh0qStPGYZhPI6CuCMkeMvjtv454uNw3pklhaI6BEEQhJRBDY28cuUKXnvtNbz22mtobW1FQUGBt9Y1YrD1jjFxPH67qwS7T1Vg+fR0zJmcBI7jsW6ZAQxjrl+xjVYsytNj3TKD001apVJZns+BgVkc+GKYpDtCQnhud58JbZ29imp37ps/0WHUSc4VebDnQxAEQQQ2bgsZo9GId999F6+88goOHz6M1NRUPPTQQ3jwwQeRmurYD2W0IucdAwAXalpw4cMWAAORE7kRBIV5yiINQkSG4zgU5OpR2diBwvxUbNpZPOgoiPRclAoJHhCf+0hhtuxAS7k17SuuxMo5GbLdVN6K6hAEQRAjB8VC5sSJE3jllVfw17/+FUajEXfccQf+8Y9/YOHChXT36wTbEQJyCFGa5s4efOemCXYjCADXEQYhImMymbB+uQHnq1tQ09Q56CiI7bkoFRIMID53w4pcl9dAoKm9Rzxnq+M7cEUezPkQBEEQgY/i9uuZM2fi+PHj+MUvfoGamhps374dBQUFtFm4QM47xhF9JnMrsoplzaMILB+VII3IsAyDrBQdDpRWK46CcC5qvnmeR11rtyIh0d3bb/VcoTNLCTERGtm1OIps2a0Tys6HIAiCGBkoFjInT57EV199hcceewzR0dG+XNOIQs47Rg4GQGFeqmw0whU8z4O1RGQEbxYlkSABR1EQKe4ICQaweu7xsjosNKQM6hp4+3wIgiCIkYFiITN16lRwHIdXXnkFy5Ytw5QpU2AwGLBixQq8/vrrZGrmAEbiHeMMoSvJnQiXEHWobzOir3/g+r916CKMfaZBR0GkuCMkgoNUVs/ddfKq2JnlDGfXwJ3IlpLzIQiCIEYGioUMz/NYvnw5vve976G6uhoGgwE5OTm4evUqHnjgAdxxxx2+XGdAw/E81i83oDBPbxeVMEchBrqS3Dkmz/PYtLMYxVeuI1QbLD62bFoaNEEq2fezxVUkSBAEJk65kOi1EVHnq1uw73Ql1i7z/BoMRWSLIAiCCDwUF/u+9tprOHLkCA4cOIBbbrnF6rGDBw/i9ttvx+uvv47777/f64sMdFiGAQ8MqitJ7pibPixBZWMHnrwtDz/pM4mPfXD8MsLDQnD37IxB+dNIu5Tyx8VioSEFbx0uc2ncxwPiRG7huVv2lAIY8M85UFrt1jWQRrYG47dDEARBjCwUC5m3334b//Ef/2EnYgCzOd7TTz+Nt956a1QKGSXmcMLX8ZFaj7qSbN9P6OB58rY8dBr7EBGqFR/ffuQi1MFaRIdpsNbiT1N5vQPLbNx9K663IytF51BASLuUKhs7UJCrVyQkQoLVCAlWWz3X1j/n9hvHIUyrFs3ylFwDIbI1GL8dgiAIYmShWMiUlJTg17/+tcPHlyxZgm3btnllUYGCJy6zDMOIHinuTJ62FUtCMe2siYkI06pR2dgpeTIHwBwFYQCsX54LlmFQ29xl5e67OD8VKpaVTefYtjtL00NKhAQPyIqOCzUtuPhhi/hcd0YL+CKyRRAEQQQ2ioVMU1MTEhISHD6ekJCA5uZmrywqEBgql1k5sfTE0iliMW2IRoXa5i40d/aJr+E5s5AxcWZBYeJ4vLDbvXVKxZJ0VpOKZbBxRR5WzcvE/uIqh0JCSDF5W3R4M7JFEARBBD6KhYzJZIJa7fjpKpVqVM1ZGgqXWUdi6XsFWWIxLcfx5jVIN3BLhCUrReexuy/LMGjp7MHG5bl2s5omJkVhfk6SKCSMfSZogiwjEiTr8KXo8DSyRRAEQYwsFAsZnufxwAMPQKOR71zp6VHWmjsSGCqXWUdiqbWzF4V5erx1uAwq1twWzbADDWi8JbW0fHq6x+6+HM9jyQ1pSI+PsJvVtBfA1j2lKMjVY+0yA6qbOjEuPsJaTEkg0UEQBEH4CsVCZvXq1S6fM1oKfd11mXU0O8jpa52IpahQDcK05mLarl6Lay5jL2RmZCbggxNXPFonyzDISIpSHM0hHyGCIAhiOFAsZF599VVfriOgGAqXWWdiKUSjwteVTVi7zICLNebCWauIjKVGJkyrHtQ6lY4kEKI5BEEQBDHUKDbEU0J9fb03D+e3DIXLrDOx1Gnsx1dXruPT0mrkpMYgUReKRF3owBMs7zeYGUc024ggCIIIBBQLmdDQUDQ0NIhfFxUV4dq1a+LXdXV1SEpK8u7q/JShcJl1JpaOl9VhwZQUvLCrBE+8/BmqGzuRpY8RHxdSS4OZcRQIs42EuVLSjwRBEMToQrGQMRqNVhvF4cOH0d3dbfWc0bKR+HJ+koAzsSSdXXShpgXf/+Mh1LcNiI7bv5WGoqlp6DdxHs848ufZRtIZU9uPlGPb3jPYfqQcDW1GAKPn95AgCIJwo0ZGCaPJw8PXLrPOLPnlzOkuXGsTH18wJRm5OVlmEz3Os3UKQkrJSIKhnG00VP49BEEQRGDgVSEzmhiMy6ySkQaAc7G0dU8pkmNCxfe/87M/41qx+bHunj5xfQzDgOfdX6e/zjYaCv8egiAIInBQLGQYm83W9uvRiLuGb+6ONJCKpQcXTEJzRw+SY8KgDVLBxPFQsQx4nkd8pBaZSTp8ZnldVIja6v2VrlMQWGbxY/64TuFIgqH4XRgq/x6CIAgicHDLEG/ixInixtDR0YEbbrgBrKXtdzTXJSgxfPM0JcJYREdMuLm9uaap007MAGZnZYF+k8kq6iMVNHLrFJ7X3WtCqEaNLmMfgoNU2Lq7BFPSYjyeWO1thsK/hyAIgggsyEdmiPA0JSIIoNKKJhjSY2HsNeHdY5fFaM6iPD0SdaGioASAXf+6gk8r4HKApe3xs/TReOtwGVbNyxSN8D4urrKbWN1p7EdFQ7tHhcxK02qOrqG/d1IRBEEQQ4tXnX0JeQaTEmEZRhQZ0lEBWSk65KSmI0wTBI7jrYTM7pNXEZlkjtC4KoBlGQZvHSkXxUv+uFi7sQYXalpw4cMWq9cxAF5/YoHi9I0nk8LljuFuJxVFZAiCIEY2XjXEI+Tx1FyO53k0dRhhSI/F1t2l2F9SBZZlsHF5LraumY1sfTSOnrsGlmVQWtkiORBndcz9JVXYsrtUrH0RPFc4jkNdazcSdCGieJmRmYADpdVeNcIT02o7i7F620G8ebgMe7+swJuHy3D/toPYtLNYfI4zhsK/hyAIgggsFEdkxo8fr+h5ly9f9ngxIxVPUyIcz6O5owfGXpMYIVlXZMAthhQxOvPkbXmoaepEVWOXeAxeImQAQMUyMKSZDfOkEZFHFk3GvtOVuP3GceJMpsGONZDDW51G/tpJRRAEQQwfioXMN998g/T0dHz3u99FfHy8L9c04lCaEslK0aFoWpo5DQOzAEiOCcO7xy6L6aTC/FSrQY7CYEjIzFoSsBU/wrE0QSo0dfRYiRdPxho4S994u9PI1/49BEEQRGChWMj89a9/xSuvvIIXXngBS5YswZo1a7B06VKr2gxCHlfmciqWwboiAwrzU1HX0oXtR8rFiInWIjYAYPn0dLv6FUGEWG3akhSNrfiRvlefiUNMuMZKvAhjDbxlhOftTqPB+PcQBEEQIw/FKuQ73/kOPvroI5SXl2PatGlYv349UlNT8fTTT6OsrMyXawx4XI00kEZMVv/uU7GG5Oj5WvRzA9EcufoVQYQwjDQiYxI/txU/0vc69HUNFhpSrGYySccfOEPp+AVfdBrZ+uI8vnQKVs7JECdwk4ghCIIYPbjt7JuSkoIf//jH+PGPf4xDhw7h2WefxW9+8xtcv34d0dHRvljjiEBIiSTHhCI+KgQzMhMQplWju8eEMK3aKl0ksOvkVSw0pKAgV4+3DpfJ1q8IIuRnUiEjicgIqSe51FRlYwcKcvX49EwNCnL1Yu2J7fgD4bXLp6eL65a2Ubs6b191Ginx7yEIgiBGNh6NKDAajXj33Xfxyiuv4Pjx4/jOd76D0NBQb69tRGH2TQG+OzcTdS1d+ODEFTR19GDZtDSEa4Nka0jOV7fgRFk9ZkxMQEGuXrZ+ZdfJqyjI1WNcYhSuWL4nLfaVih/b6Iwws+nfZk/AmYpGUbxs3VMKAKIRXldPPzKSolArWbdSjxoGEIWYP81sIgiCIEYGbgmZ48eP4+WXX8bf/vY3jB8/HmvWrMHf//53isQogON58OCxaae1s++aBVlixESOn+84hf/7wTysX27A+eoWu/oVQYzMmJiIg8KLJBEZqfiRRmcEtlhES2F+KjqNfdi4Ig+r5mZif0kV/vpZOZbckIqEqBCrQmEBdzxqqNOIIAiC8AWKhUxOTg7q6+vx3e9+F4cOHUJeHg3lcwdHLciu2p0zk6JwoboFCVGhyEk1t1DbioIte0oR29gpfn1LTiJSs9MQE6FBkHqg0FjuvUwcj9/uKhHde2+alIh4XQhWzskAyzLmdcukvQDnrdNCt9Ibhy4iLlJrl6oSoE4jgiAIYjAoFjLnzp1DWFgYXn/9dbzxxhsOn9fU1OSVhY0knLUgO2p3ztZH48nb8pASE4a61m6881k5gtQslt6QivU2osDE8SirbRdfOz87EUVLp5jrTVgW2ii1w9SUgODeq2JLxK6mrt5+tHX2etQ6Le1W2mKTqpLObFpo0CMpOhQcx5GIIQiCINyGZi0NAc5akG3bnYX26II8PTiOt0vpvP7Pi1hXZBDbj/cXV2LquDF4nz2N4zvNz/nwxBVkTW3D2PgIbNpZjNz0GKxdZsDFGvvUlC3SrqZHCrOx3yadJIdc67S0W8k26iOd2fTFxTocPluDf7tpgnsXlSAIgiBAs5aGBGctyEKxrpAuWldkwAJDCliGwQu77VNRUlHwyKLJWDknAwDw2fk68TnXmjuRkRQlpoQOnqkGYK6DAexTUwK2XU0bVuR63Dot160kN7MJAO6bn0lzkQiCIAiPIDe7IcBZC7JQrLt2mQGrb56IwvxUXKhusTO+s6W8thUdxj6oWBabd5WivG4gtTRtXAyuNXeJrxfEzxMvf4bqxk6sW2ZAYZ7ebmbR8unpVq/zxOVXgOYiEQRBEEOBIiETExOD69evKz5oWloarl696vGiRhquNvUte0rxaWk1Vs7JQF1LF9LiIlwOblxXZMD0jDhReEgN8bKSdXYdRoA5IvL9Px7CwdJqbFyRh1cevRn3zstE0dQ03Dc/EzfnJFu9TmqU5ww5MeLKBFBAqbHeUCEdqil8JAiCIPwXRamllpYWfPTRR4iKilJ00MbGRphMJtdPHCW4GnYoREzmZSdhX3EVVs3LdJrSWZyvR2F+Krp7+0XhwUhGRTDgHL7etl7lrlnjoQ1SieZ20tfZpr0c4ah1OpDmIgnnLx2qqcQrhyAIghheqEZmiFCyqQtDHB2ldIRC4EV5etS1dCEuKmRAeEg22Z4+1ykhoV6lrrXLXKTLsjBxnNXrpGkvT8RIoMxF4ngePM9j04clbnvlDDdSh2Xho7+tkSAIwpcoEjKczTRlwn2UbOqCkHA0uFHoKDL2mbCvuAq33zhOFB7SiMy5yiY8vtT9wY9ywy2dtU4rESO2c5GkG6708eHEkccP4NwrZzihCBJBEIQZj0YUEJ7halMXhMRzf//SLqUj7SgSuomkggeSGplTl+rFwY/upITkUmCOWqd5N8WIv85FcubxI0XOK2e4COQIEkEQhLehrqVhgGEYqFjW6qPw/YSoEOhjw8WUjtBdJJ2TJKSe9pyqEAWLtNi3pqnD7vVW7w+gUJISkiKkwGxfd6GmBb/9sBj/t/+sKGK8vUkOR6GtM48fq7XB7JXD+UHxL8sw2LyrVNbjR4ggbdldSiKGIIhRAUVk/AxBSGyzSenEhGuw49hl8BjoJkqICkE/x2HdMgOO74/BOeEgPOexm+5w1LUMZ5rEmcePLbZeOcNBIEaQCIIgfAkJGT9DEBLrl+ehrrUbH31ZgfS4cCRFh4obrtBNlBwThhc+LMaUtBgsmToW71qOwXOcSzddTRCL6DD5gmAldS2uikyVFqEOd5rEmcePLYJXznCmxtyNIEndlgmCIEYiJGT8EKmQKMzXi2JA2HDLrrWi09iHjp5+7CuuwsfFVeCuXBJf33b2IEqulAAASgDssDl+oi4UhbNy8dRTT2HMmDFO12Fb1yKIku4+E1gAwUEq9PVz4AGEBKvBcTxYVnl0ZbgLbeUKnOXwF+O+QIsgEQRB+Bq3hcyXX36JoKAgGAwGAMDOnTvx6quvIjs7G88++yyCg4O9vsjRilRIsIC44a4rMkATpMJ7x6+Im29de6/4uqrys06PWwvg9JF/IDg4GL/4xS8Ur0eInoBh0NLRgwOl1aJQKcg1t4/z4LFpp7Loij+kSVx5/GSl6LB8ejpmZyUO+O1g+IpoAy2CRBAE4WvcLvZ95JFHcPHiRQDA5cuXcc899yA0NBQ7duzAv//7v7t1rD/84Q/Izc1FZGQkIiMjMWvWLHz00Ufi40ajEY8++ihiY2MRHh6OO++8E3V1dU6OGPg4KngVNtz75pvHGLCs9Z157IQboImMdeu9KisrPVgfsGlnMda8+E+8ebgMe7+swJuHy/Cr979yuwjVXwpt5QqcVSyDjctzsXXNbOSkxuDdY5exbe8ZbD9SjoY2o3ldHqxnsAXNNPqBIAjCGrcjMhcvXkR+fj4AYMeOHZg3bx62b9+Ozz77DPfccw+2bNmi+Fh6vR7PP/88MjMzwfM8/vKXv+C2227DV199hZycHKxfvx579uzBjh07EBUVhcceewzf/va38dlnn7m7bL9HScErD2DlnAm41tyFmHCN1Z15cFgU5q5/GT1tjQCA8QmRWGhIwQ3jxyBMoxaPf/nyZRQUFABwbyMWOpXkBlkCwDJJV5UzpNEVf0mTyBU4Txs/BhOTdXbTxwHPane8VdDsKoIk4MhtmSAIYqThtpDheV40yPvkk0+wbNkyAEBqaqpb85gAYPny5VZf//KXv8Qf/vAHfPHFF9Dr9Xj55Zexfft2LFiwAADw6quvYvLkyfjiiy8wc+ZM2WP29PSgp2dgc2xra3NrTcOB4oJXhgEH4PSV67j1hlQU5OqtajtYlRoh0QkAgGu9wJunmvDWqSZsX78QujANeJ63ujbuwPM86lq6HQqVGZkJ+ODEFbeKUAH4TZrEtsBZxbLiFHBb3K3d8XZBcyCNfiAIgvA1bqeWpk+fjv/+7//GG2+8gUOHDqGoqAgAcOXKFSQkJHi8EJPJhHfeeQednZ2YNWsWTp06hb6+PjF6AABZWVlIS0vDsWPHHB7nueeeQ1RUlPgvNTXV4zUNFe6kZFiGQXp8BK63GZEUHep0KKOKZbBp9UzEhGvR0GbE9iPleONw2cCxhZoXBQjrcPTsMK3a7eiKP6ZJhGtc1+pYtAnsL65CfWu3y2vobd8X4dptXJGHvzyxwGrw5+tPLMDGFXk0qoAgiFGD2xGZLVu2YNWqVfjggw/w4x//GBkZ5jvrd999FzfddJPbCygtLcWsWbNgNBoRHh6O999/H9nZ2Th9+jSCg4Oh0+msnp+QkIDa2lqHx3vmmWewYcMG8eu2tja/FjPuFrzGRmgwPj4CO45dRkJUiNM5SL++bwYmp0RbpUc6G6+Jz/m6oklx8aqjNJBQDMtxHhShsqxfpkm82eLsq4LmQBj9QBAEMRS4LWRyc3NRWlpq9/3f/OY3UKlUbi9g0qRJOH36NFpbW/Huu+9i9erVOHTokNvHEdBoNNBolG2o/oA7m+b+kkqsnJ0hDpd8+2g5AHN64/75E9HW3YvkmDBog1QwcTzUKvv0CCOJf1xr7sSW3aWK0yNSoSIMsCzMT0VNUyeuNrRjkU2qyxZB9NyckwyWYWDiODBg/C5N4s3aHV/7vvjr6AeCIIihwm0h09/fj6+//lqMiiQmJiI7OxtardajBQQHB4tRnWnTpuFf//oXtm7dirvvvhu9vb1oaWmxisrU1dUhMTHRo/fyR9zZNG8YOwY8zHf5MeEamDgeW/aUIjI0GDMnJoDjebx77DKaOnqwbFoawrVB9pEAqWkdeMWRAFu/FWGApRDtmZSiw9Y1s2WjK1LRc625C28fLbcqdo2L1PrVhGxvtjj7S0EzQRDESEWxkOE4Dj/96U/x4osvorW11eoxoaPo5z//OVh2cOObOI5DT08Ppk2bhqCgIBw4cAB33nknAODChQuoqKjArFmzBvUe/oTSTTMrRYfs1Bhs2lmMlXMzrDxlpk2Is+uuWbMgy0Hx7cBGOTlFhx1PFiJcq3aZYpJ2y1Q2dogDLAXRcr66RZzvZBtdsRU9jopd4zxIkyh1EHYHb5rkke8LQRCEb1EsZJ5++mm89tpreP7557F48WKxsLeurg779u3Df/7nf6K3txe/+tWvFL/5M888gyVLliAtLQ3t7e3Yvn07/vnPf+Ljjz9GVFQUHnroIWzYsAExMTGIjIzE448/jlmzZjnsWApElG6ay6eno66lC5+UVKG6qRObH7xJ9JSR665xVHyrYgc2yciQIHxw4opsKzAAO4FgHp1gwPnqFtlWa7n5Tho163CNgEwHkMI0iS/nM3mzxTnQnIMJgiACDcVC5vXXX8cbb7yBxYsXW31/7NixePjhh5Geno7777/fLSFTX1+P+++/H9euXUNUVBRyc3Px8ccfY9GiRQCAzZs3g2VZ3Hnnnejp6cHixYvx0ksvKT6+vyNsxko2zdlZiXjXMjTybFUz9p2uxD0WTxm5QtK+fk42ErBmYRYOvWD+/PjFOnRLupjeOVqO5++dAUN6LOpau60EQtG0NHE2U1aKDtuPlNttzI7mOyntALJNcTmKtgzFfCZvtTiT7wtBEIRvUSxk2tvbkZyc7PDxpKQkdHZ2uvXmL7/8stPHtVotXnzxRbz44otuHTcQkG7GuekxTruPFuXpobUU+Aps2VOK+TnJdhs5YBYawWrWzmcmK0WH+Tkp4vNsX7e2yIAsvXWXk1DfEhOuFUXTvfMyndZ9XKhpwYUPWwAAH/xosdvFrgzgNNoyFPOZvDkFnHxfCIIgfIdiIXPzzTfjySefxFtvvWU3aPD69ev40Y9+hJtvvtnb6xuxSDfjg2eqAVinZGw3TRNnHWExcTyC1KysoFg+Pd3KZ0bY8JdPT0d9a8fAEyX+J1kpOtkUkFx9y+03jnNa9yF0J83ITLATYM5oau8BA8ZptOWl789FWIhMEbMN3pjP5K0WZ2+KIoIgCMIaxULmj3/8I5YuXYqkpCQYDAarGpnS0lJkZ2dj9+7dPlvoSMLWW8RRSqbT2A+1ihHHA9jWWnQa+2UFheCya+szMyMzAS/vviRdifjZcpkRA47EzfGyOiw0pNjVfdi2ZH9w4grumjVecbHrxOQosCyDTTvtoy3CsdPjw2XTWrZ42s4shzdanMn3hSAIwjcoFjKpqakoLi7Gxx9/jC+++EJsv77xxhvxP//zPygsLBx0x9JowZG3iDQlI3Df/EzzZixjHudIUAiFvn/7/BJyUqPNkYB5mQjXqtHa1Qs55EYMyIkbANh18ioKcvV2dR9y0Zuk6FDZNdrCAJifk+ywnkY4NuNH7cyedEyR7wtBEIR3cctHhmVZLFmyBEuWLPHVekYFnnqL2NZa7DlVISsohEjN40umIF4XijcPlyEhKgS3TEmGLmzA70dqrS/X5eRofpJcq/UkB9EbR6LHlkV5egSrWVmBJ40MPVKYPeztzL7smCIIgiDcw21DvBMnTuDYsWNWhng33XQTvvWtb3l9cSMVT71FbGst2rt6YeI4rLMpFD5eVodb81MRFxViJSwYBpiTJW8mKJemcjY/ybbVuru3H7UyHVTO/GUA62JXRwJPGhnKHxerOMLji3bmoeiYIgiCIJSjWMjU19fjzjvvxGeffYa0tDSrGpn169dj9uzZ+Pvf/474+HifLXakMBhvEWmtRUJUCF74sBhT0mKsCoWb2o0YE6m1a83edfIqfnTruIE3kERk5NJUjmpwgIG6njOVTbhndgbGxkVg+1H52hU5fxm5YldHAk8aGSq52igb4ZEWGIdp1ejpM0EbpPK6mBiKjinCNb4wQiQIIjBRLGT+3//7fzCZTDh37hwmTZpk9diFCxewZs0aPProo9ixY4fXFznS8Ja3SF1rN/YVV+Hj4iq7QmETx9tFDM5Xt+DQ1zWS7ww8KpcCclSDA9gX9rKs43SZbTHzXbPGQxuksit2ZQFZgRemVaOlswcbl+eiMD8VncY+MQp1sLQaa20KjH2V6vHVAEhCOZTWIwjCFsVC5uOPP8bhw4ftRAxgHvy4bds2ar92g8F6i9gWDNsWCn/0k6WywuLPB86Ln98wdgxWzcsUoyNdPf1Wa3JW32Jb2LvjyUKX6TJhjXWtXWIBsxRHAq/T2I8lN6QhPT4Cm3YW49MzZvGycUUeflCYDU2QyuX4A2+kenw9AJJwDqX1CIKQQ7GQ0Wg0aGtrc/h4e3t7QE2dHm4G6y3iqmDYUVrIJPnr39bdg9tvHDcwa8nyXtI1na1ssqvBkWvLPl5WZ2fAJ4er2hU5gXeuuhk3ZsRbvd9vd5XgTEUTNqzIUz7+YJDQAMihQy51RGk9giDkUNwvfffdd2P16tV4//33rQRNW1sb3n//fTz44INYuXKlTxY5UrH1Fnl86RSsnJOBuEit1eNyuCoYFtJC0iNkpejw6K1TxK91ocE4XlaH5s4escbAdk2T9dFgLZvDX55YgHvnZeIHhdmobRmov1GxDCK0QaIBnzOEdJkzgcYyjNX7xUdqZduyc8fGyraH27K/uAr1rd1WXVqe4EmRNuEewjWrbzNi+5FybNt7BtuPlMPYZ1I86sIbP2uCIAIHxRGZF154ARzH4Z577kF/fz+Cg4MBAL29vVCr1XjooYewadMmny10JOOJt4irgmFpWujgmWqxnqX04jfic641d2FKWgxiwrV2f/ila7IVNwCsTOnWFRkwdUIcSq82KupOUjKfyNn7CThqD7fFW6keGgDpW5yljm6/cRyl9QiCkMWt1NIf/vAH/OpXv8LJkydRV1cHwNx+PW3aNERGRvpskYQ9rgqGhbbndcsMuPUGPSalmGco7T32tficqsYOPPC7TxXXFgjihud5McUiTTMJgkmuO6kgV49EXahbxZhy7yfFWXu4Ld5I9dAASN/iLHU01D9rgiACB7d9ZCIjI7FgwQJfrIVwE9t6kkkyLcgsA0xJixXrSHibP/CTUnTIHxeL3n4O2iAVTBxn18pqW68AQEyxSD1eeEDsTrp3Xibunj0BKtacKurt52Ds64dGrfLoPG1TOiqWcTjhWw5vmePRAEjf4KojzJkVgC2+MkIkCMI/cUvIXL9+Ha+88oqsId4DDzyAuLg4nyySkEdaMPzDxTkI1ahR29xl1YJ816zxaOvuETcIRlI1Mz4+AlvXzEZNUyfePXbZrpWV43iwrH2r612zxospFtv0joplsGxaGm7MjEdNU6fZ18byukV5rqMyjoo8bVM664oMUKsYrxQYu8NQDYAcbT4prjrCnFkBSKG0HkGMPhQLmX/9619YvHgxQkNDUVBQgIkTJwIwG+Jt27YNzz//PD7++GNMnz7dZ4sl7GEsG50miJVtQbarLZD8gY8JD3bYtvyb+2ciOzUam3ba1yucutSALWtmoyBXbxfyl5u3JD2uozSWK38QaUpHSGe9dbgMq+ZlDnmqx5cDIEerT4qrjjB3Rl1QWo8gRheKhczjjz+O73znO/jjH/9o94eU53n84Ac/wOOPP45jx455fZGEczytLbhS3y77mkkpOhjSB9JRtq65ncZ+VDd1Yt0yA3r6TGLI39G0bAFHLbJK/UGElE6epVvpjUMXERep9UqBsSd4ewDkaPZJcdUR5s6oi5Eq9giCkEexkCkuLsZrr70m+weCYRisX78eN9xwg1cXR7jG7doCyc/vels30mVeI9S9fHqmWnTTtXXNLcjVQ8UyULEqFOaZ0zuOpmXbYut8q8QfRMUC65blYuOKPPSbOLxtGYfgbPzBQoMeSdGh4DguIDa20eyToqQjTPqz9mVajyCIwEKxkElMTMSJEyeQlZUl+/iJEyfE+UvE0OFubYG0RkY6a0mKUPeyVkGaaN0yAxJ0Zv8YT9qhWUCR7f/Hp6uwap5Z/Kgk4xBsxx8IIxo6jf344mIdDp+twb/dNMHFioaf0T7+QElHmInjUVrRhML8VJ+k9QiCCEwUC5knn3wSDz/8ME6dOoWFCxdaDY08cOAA/vSnP5GPzDDgdm2Bgr/zYVo1gtWs4jTR+uW5lrSP+863ntj+A7BLQ9iOaBC4b35mQHSw0PgD9zvCvJnWIwgicFEsZB599FGMGTMGmzdvxksvvQSTyQQAUKlUmDZtGl577TX827/9m88WSsjjbm3BRyfKxMccuZ92GvsxfUKcW2miMZFmUz13W2Q9tf0facZ0NP5g6DrCCIIYWbjVfn333Xfj7rvvRl9fH65fvw4AGDNmDIKCgnyyOMI17tYW3DEtGRN+KTwi/4rjZXWYn5OMd47au+naYpUm8sD51hPbfxXLjjhjOo+uwwjc0H3ZEUYQxMjEbUM8AAgKCkJSUpK310J4gNu1BZKNPSIY6G6us3v+W//4AhMipqHs0mXZx20pK1ehIjVI3GSmJjA4er7W4fPnTk5EV3Mdrjabo0JZ0RyMzXUuxU+WbgIqrl4VW87vMESguZ7B0XO1AMtCEznGPC8KgdfBQuMPrKHUEUEQSmF4L01Xu3TpEr7//e/j4MGD3jic12hra0NUVBRaW1tH7BgFoW13y+5Sp7UFLMOgu7sbYWFhw7VUnzIxbwZ+svUvWJyfFrBpCEc1SQKFefoR2bVEEARhi9L922tCpri4GFOnThVrZ/yF0SBkAIibdl1rt9PaApPJhKSkJDQ0NAz3kn3ClW++QXpaWsAJGMA9QRqI50cQBOEOSvdvxamlbdu2OX28urpa+eoIr+OqtgCAeY4Sy+Jvf/sbnvyv36L6ehsiQoKQEhOG2Agt1CrWLHgGDgrwPC7UtKK2pcvq/SJDgjAhMQqRIeaUkqPoB8/z4nGcPU/A2GdCbXMXevtNCFarkBgdCm2Q9Xwmcxv5wHPLz57G9Vrz719/X5/5vBF49RRU7EoQBOE+iiMyLMsiKSkJwcHBso/39vaitraWIjJewJtzdoTXC5GaaRPiEBOmwQO//9RqPtLPvjMN38qMB8swqG3uwldXrmPJ1DSrVEdWig4rpqdjzuQkaIJUqGvpwr7iKoc2+rbvrcRu39W5cxwPHjw27yrFp2eqsbbIgDdf+DHeeOMNAMB//O+HyJo0KeAt/UfbrCWCIAhbvB6RSU9Px69+9SuHLdanT5/GtGnT3F8pIeLtOTtylve33zjObsjj//1gnsUBl8cLu83PffK2PLH9WsUyWFdkQGF+KjqNfVCxjKxJ3qlLDfh+wWRk6XVgeICH+3b7zoo8hSGWm3aa3W83Ls/FLYYU/Li6VXzOoTPV6FDHICk6FLOzEh1O9PZ3qNiVIAhCGYqFzLRp03Dq1CmHQkZIGxCe4Ys5O3KW97azl372nWnQx4YDgNVspbmTk/C3zy+Bx8AgSGFIo21BqlTo1DR1Yt/pKks0x8t2+wxQ19qNTySDIzftLMa1FqP4lPvnZ+DhOx1P9PbHCA1FXwiCIDxHsZD5r//6L3R1dTl8PDs7G1euXPHKokYj3pyzw1nqXOotm74U6eylbH00bsyMR1dPH1o6e61mK/E8j6aOHivBkD8uVtYkz3bitTSa4wx37PYFoSe431rNdZK8dvqEOLcmbw+niBhMBI7ED0EQhBnFQiY7O9vp40FBQUhPlxtBSLjCm3N2hA2/p5/DPpvOFwA4V9WMwvxUvHO0HP+98lswceZN8EBptdVspUcKsxETrkFO6oBgeKQw226WktzEa09mLrlMn9i4AEvfg2FZ8WlvfHoeZzvCZd9LKgbdERG+EA2eRuC8nX4kCIIIdDwyxCO8izfn7AiRnQ0rcu0s77NSdBgXH4G4qBBsXTMb2mAVWIYBy6qsZisdPFONlXMzUJifitBgtSgYbNNSAGQnXofLPM8Rruz2hY2bB6xGIEjXwjADQub4xVpEJGc4PN7+4ir8cHEONEGsSxHB8ADL+kY0eBKB80X6kSAIItBhXT9lgHPnzuGrr74Sv+7o6MC9996L9PR03Hnnnairc+0CS9jjrTk7PM+LNSTSFJKKZbBxeS62rpkNXbgGldc7MCExEizDwNhnQm+fyWq20roiAxKiQpAQFYIwrRotnT3YuDxXdpbSjMwEHCitFjfVrBSdR3b7cogb985iMAyDnj4TFhpSwMA6RSYVMhzPOX2/SSk6hGrU2LyrFPtL7CNWgog4V9VsLlbeWYzV2w7izcNl2PtlBd48XIb7tx3Epp3F4vrcRfpzcsb+4irUt3aL78EyjMt1b9ldSiKGIIhRhVtCZv369Th8+LD49S9+8QucOHECTz31FGpqarBu3Tpvr29U4M2NX4jsHC+rEzd9aQ2LimXQYeyDiePR02dCTVMnTDyPtLgIHCitxiRLqmjL7lLsO10JjuOx5IY03GJIwfmqFvGYArZRmuXT02GUCA5n2Nrt8zwPE8eJH6UbN8fxOPT1NSTHhKEgV4/jZXUoyNWb30OycfOccyGzfHo66lq6nIqIrBQdpqTF+kw0uBuBEwSTJ+KHIAhipOOWkDl79ixmzpwpfr1jxw5s3rwZjz32GF577TUcOHDA6wscDQhzdtzd+OWOI4iKXSevIjkmDPfNn4jC/FRs3V2Kg2eq0dfPYVx8BFQsg8v17YgMCUaYJghq1vxaaapoy55StHf3IiMpClt3l+L/PjknCgkVy+BJmSjNjMwEHJYIDmcIQx2FLbe+zYjtR8qxbe8ZfFPfbiU4VCyDi9daxUne4+IjkBQdahYzkhoZuNjA505OsqsdykrR4anb8vDuk4X46CdL8Zv7Z6JWgdjJGxuLfhNnJcCU4EkEzhPxQxCBju3NDQl0Qg5FNTIPPvggAKCurg6bNm1CeHg4Ojo6UFFRgb/+9a/4+9//bu5yaWrCmjVrAACvvPKK71Y9wlAy+BFwPc1ZiOyoWAZFU9PA8TzumTMB15rNm/Kzd0+HWsWAZVgY+0y4Wt+ObH00Sq82Ijs1GjHhGqsiWhPHo58biATwgCgkbr1Bjyx9tEVc6cVhh2FaNcprW1HV2GGuM2Hg0G5/bZFBNLizrftYsyALH5y4AtbS2i2c25Y9pchOjcbY+AiUXm3E2mUG7PlLFK6KF8GxIWNWig7BalYUEbZt4x+cuIKmjh48smiy3ZoFbF/z9tFyt2tnPInAeSv9SBCBABW1E+6gSMi8+uqrAIDPP/8cd911F+6++278+c9/xtWrV/H6668DAGpra7F7924SMB7C8bzLjd/ZNGfO0qm00JCChKgQ3GJIwZZdJXh0yRQcKK3Cz++ejhkTE/DW4TLcM2cCapo6kTc2FvtOV+IWQwraunpRmJ9qV6gbHabB20fLxfVs2VOKqNBgzJiYAAAw9vUjQRcqirBOYz+W3JCGBF0ozlY2Y+OKPKyck4EDpdWi3X5Brh6JulB0GHsRrg2285tRsYy4DiEtdr6qBYvy9Dh1qQH62HCxKHldkQEzJibin5bXTh0/BpcdZJeWT09HPzcgImzbxoVzfHzpFIeiwdFrAOUFt55MuvZE/JCRHhGIUFE74S5udS2tXLkSDz30EF555RUcPXoUv//978XHjhw5gvz8fG+vb9Tg6ZwdsS2Y43HoTA2WTE1DckyY2A69bnkubhg3BlkpOlxr7sIbhy7i5inJiA7XICZci3eOlgMACvNTAZjnMUk3TBVrHQnITIpC6phwGPv60drVh7hILb6ubMLaZWYRdq66GTdmxIvvPylZh+XT03H7jeMQplWj09iPLy7W4UBJNb47N0O27mNdkQEmjsfEpCixk6qysQNb18zG9wsmi6kvHsBvd5WgqbRGfO23Z6SjpCtOVgzOzkpERUM7FhpScOpSg13buIC0kFiKXKu5FKV+P55E4FjAbfFDEIGINz21iNGBW0Lm2WefRWpqKk6fPo0HH3wQ99xzj/hYTU0NNmzY4PUFjiZcDX6UEzHCncuGFbm4eK0VuU2dUKtYURx095iQkxqD7t5+cfPftLMYmx+8CaVXG/F4kQHb9pRiz6kK/M+qG8GwDBZaXHyF9JKQrhJSKn0mDuDNaabbbxyHr65cR3VjJzauyEOfibMSJxdqWnDhwxa7c1WzDO6ePcGu7kMQC19XNGFeTpKVaNl3uhILDClWESIAaOrsFT8/WV6HZ35QgFXzMrG/uMpKDGqDVDh5qQF3z86wEkS2CIXStqJBrtVcDkV+P5x7EThvpR/9ETL3IwS86alFjB7c9pF56KGHZL+/du3aQS+GMKN0zo70zkUwsIsMCbYyo2vt6kGHsRdxUSFiZOVsVbOYUrpQbU7/1DR1QsUy+NQS1RE2zPrWbhTm6cV01VuHy/DduWaflqaOHhwvq8OiXD1W/+5TRIYG41sT4hQVpa4tMthFe4ABsfCnT87htw/MwnuS1u4te0qxKE9vn/aRtF/znPnZEdogfGfWeAQHqcBZvsfxPHr7OYeCSGDXyasoyNXbiQZvGf1xvLkuyFXqjbMZvtnV0491lshX5fUOLJuejhmZCWKkq+J6O7JSdMNWP+CuIKE6CMIWb3pqEaMHMsQLUGzvXIQogm07dFRYMN774gpuv3GcVbpky55SAOZ0RXOHEeHaIGiCVFaFuioWaO7oQU5aDArzQ1F6tRGr5mWiz8SBZYCYcA0aWruRoAvFffMnYubEBHCW0QaOyErRYdW8TNyYEY/uXvsUjiAWzlW32BW4mjgeHTJpH2nX0pRUHTbtLBYnYxfmp6K2tQvF3zRi5qQEFOanYs3vP7USRFkp5vSXVBRUN3WK6TIhYiJnCCg9L+kxevpMDmuZpALUWept1bxMq6jbp5aaoPXLc8Up5UKBsiAAVCw75J0dnggSqoMg5KCidsITSMgEKLZ3LkIUwVYchASrxciJbcpoy55SRIYGY+bEBHT19IHjeatC3bXLcsFxPIy9/eB4IEsfjU07izEvOwnTJozBolw9OJ5HV08f7pkzAXUtXQjVBMnWl1hN0O7pQ21zF85UNtmlcKRiQU60yKV9pIZ4Hxy/gojx0fi/H85HQlQIXviwGLOzErFkahqa2o3myNKUFHQY+xEboRFnS0m7lmLCzVERNctg44o8MU3V02eyW4+jzie5jZzjeYDnca3FdeqNAbBkaipiwrVW9QLCz06YUj7cAsBTQUJ1EIQcVNROeIJbPjKE/2B753K+ugX7TlciWM0OGMVhoHB1z6kKO2+XdUUGTJsQh9KrjQhSq3C1vl30jPnzgfNgGQZbdpeC44BQjRpbd5sN4sCY3z8xOhTxUSF47/gVcDywr7jKyohPirTbh+PMG5XgdSNdk7TQVu5Ycq+RCpm02FBsXTMbKTFh2LanFP82ewKmZ5gHSZ681IB+jsO6ZQZUXG/HHTeOE9e05sV/Wrn3/ur9r3C2shn9Jg7xUSH47twMaIJUdn4/0vOyPYatAzDLMOjp5+w2fDl4mKNh0nojoX5I+Dn4g7uvJ27DZO5HOMJbnlrE6IKETADCWWoRbO9ctuwpxcnyBtEoDhgQA0tuSBU38cI8PSZbNsW/fXYJhvRYbN1diuvtAxuntLBVq1GhtnnAIG5ySjSqGjvNd0MsgyAVKxrqyQkN2w1YiLoI4mutZU2MZb2CEJM7lvQ1q2+eiKduy8N9N08SH89J0+HriibUNHVidlYi9LHh2LyrFJWNHSjMT8W23aU4WFqNnNQYhGmD7ESBMM5hy5rZGBsfAbWKRX1LN7YfKceOzy+JBbdy5yUd0/DUbXn4+1OLsWFFLnjevKnXtXZDE6RSHDpPjgmzirq5U2w8FAJAiSCRMw4kcz/CEdKidmcIRe2UdiQASi0FJCzD4OvKZtnOmtauXnA8LxaF7raknJJjwvDCh8WYkhaDjSvyxPROgi5Edrq1tLCV43irjTpMq8Zrn57HHTPGISk6FNMnxIn+LHu/HBAaQn2J7QYsjboItTpC0auJ40Uhtr+kyu5YPIDffXQG2anR+O7cTHT19OHkRwO/xrtOXMGtS1fg6LlruPWGVNEM8MnbzAXNB0qrMSUtxmF3hBBhKb3aKKbSpBGU6DCNuJ68sbFW52WVPjP2IUyrRm1zF/aXVOGuWePFLi+loXOtjejx9lTxwXYLORMkzowD752XSXUQhEMG66lFjD7cFjImk0kcR1BfXw/OZrbNwYMHvbY4wh5hA/7TJ+ewZc1sq84aYRPesqtEFCw1TZ1o6+pFd58J+4qr8HFxFXafqsCm1TOxv6QKt984Tna6tfRz2+6iTmM/dGEaPPzHw9j59GKkx0XgqsWf5a3DZfjoq0rkWN7/3vkTERUShB3HLot/kKR1LplJUWBZBp3GfiTqQsHzvOjYyzDAVhuhc6C0GtPGj0FSdCgAoKWzF6WVzeLaiq80IEyrRnp8BPo5XhQhgghYa7lGxj6T3Sa8OF8verWsmpcp6xcjFV59Jg7vSDqfnImgVZbN21Frty0MBlrfBZwVG9viTAB4q1vIWWGmM+NAd8Qc1UGMPjz11CJGL24LmbVr1+K1115DUVERpkyZQr9MQ4xwF3yu2jryUXm9w8qsTRAsy6en45Ypydj5r2/AwyxKlk1LQ5DKbNUv3RylkRLp5102BcTCZnzqUgOCVCrwPC/6s/zm/pkwpJsjFR99WYH0uHDER2qtNjyhMFn63MNnzW3fm3aWiI69UvHy18/KMX1CHFbOyQDLmg0AhU3ymyuN4rF5nkensR/j4yPEdBdgFgHBala8RhtW5FoJtfVFBizM06OutdsqSmWLiePx210l2H2qAlvX3GTV+VSYn4q3j5Rh5Vx7ESRcT0et3bYsyjPPs5Ka4Dky6pPDkQDwZreQo8JMV8aB7og5qoMYnbjrqUWMbtwWMu+88w7+9re/YenSpb5YD+EC6V2wNDogpIqkm6/QEbMwN0V8zTpJRCImXCNbXPvW4TKrz1s6e602VGEzFkzl4qJC0NvPoaqxA9ky6Zh3nyy02vDS48LR22+yeq6Q+pE69gpCTNqa3NzRg7ioELywe6DjRVrsy/OcuHajpMuo09iP6RPirNJoVqMKclPAc7yY/nGVwrlQ02LVVSWkz+blJMvWjUivp1y6TEAaOgcg1gtUNnagvbvXaq6VI5wJAG92CzkateCqlscdMRdo5n6Ed1HqqUWMbtwWMsHBwcjIyPDFWggFSO+CpdGB39w/U7ZzBIDYki29U84fF4tFeXqrDVa6wew5VYGCXD3umz8RKTFhACBuPELBrWAqlxITiqKpaYiJ0MrehQvvsePzS3jp4bnQx4YDgNVz5eo/bFuTVSyDD5++1U6wSYUMeA67Tl7FLVOSUdPUaSXM5ucki6kgaVRJGM8geOC44xcjbOQzMhNw9Nw1FObrsf2IvdGe9Nra1gU5MsPjeB4MD4unD4uG1m7EDcLd19uuqY7chl3V8pyvtq+jojoIgiA8xW0hs3HjRmzduhW///3v6Q/MMCB3F3yhpgVBkqnOAkLBZWiwGoV5eiRFh4p3yixrFiYHSqqt7o6FDeZCdTP6OU6cni2tW9lfXGXlsnvyUgNumZIiFtbaImzirz12C6JCg/F1RROiwzVWz1VS/7GuyPL+NoJNaogHjsP56hbUtnSL86QKcvXYdfIqFhoGIlPSqFJnTx9aO3sRG6G1i1LZXkupX0ywmsXdszNQkKsX63Lk6kYE8dPTZxKLGF+QiTj19JmgUZvPpcFSvzJt/BhMTNaJkasNy3M9FgDedk0VioVtCzOV/CylYs5f6iBoVAJBBCZuC5mjR4/i008/xUcffYScnBwEBQVZPf7ee+95bXGEPY7uguU2XyGNtP1IOVbNy0RkaDDetRTd5qbHotPYh3+bPQFnKqyLa4Xp1qVXG5GdGo1PSqrwtmW4pDSKIKRu9n7Zgl4n/ijpceHmSJIlYiPtjnK2fgGpGzBv4xysYhkU5qXi7Ifmryen6NAKYPOuEmxaPUsUYNv2lKK3f2AgpjSq1G/iUPxNI269IRUFuXrZGg5HxatCF1NPnwnj4yOsTPNsxU/l9Q5MSIw0m+zNzcT+kiqcq2pGXWsXCvNSMSZSa65fsbzHpBQd7ps/0Spy5Sya40gACJuyt1xTpcXC+4srccO4MWZBMi8T+xwYB9oiRBNNPI/FefphrYOgUQkEEdi4LWR0Oh3uuOMOX6yFUIjcXbDt5mtbcBkXqbWy5Z+RmYD3T1xBfGSI2C4sbLCdPX1obDfCkB4rplukaSwhiqAJUok1G84iQovy9OjnODS095ijCpJCWwG59a+Yno45k5OgCVKhy1IDZI6yDGyS64oMqDh1Tfz6limJ6ErWY05WIjiex2R9NM5b5kl19vRZ1ZgIUSWWVSE9PgLX24xIig7FwVLrKJWz4lVBWCzKM/tenKtuEc9DKn7mTk7EtAlx+O2HJeKcJGntT31rF+KjQsT6lawUHX50ez7qWqyjXNKfw73zMnH37AlQsYwoAuREjFDcK60LcoU7xcJvHCoTRy3cNWu8aByopJZn2vg4MBaRBQx9HQSNSiCIwMdtIfPqq6/6Yh2EG8i1Jza1G0XzuP0l9t4tW/aUYn5OsriRhWnVaGzvwRuHykRxctOkRMTrQsBzWnzT0I6ePhMiQoKtNj9p3UpWig5bLS3gziJCxj4TglQs9llEl9xzhVRPYZ4eU9JiRHGlYhkxiiPMJhI2yUkWgXHPqzXicc5WNOF3P8gDz/OobelG6dVGFOanoqG1Gz39Juhjw8VrJMxuClIxGB8fgR3HLiMhKsQuSmXrFyNFEBZnKpqwdpkBV+vbkT01DffNn4jC/FS88GEx5k1OxI0TE6yE0HmbsQRP3ZaHUE0QPj1TLY5NsG3vFhA6z27MjBe9cRxFEaTFvfnjYgfdLeSoWFj4vdi8uwS/e2g2JiRGBUQxL41KIIjAhwzxAhS59kQTx4mRGtuCSxPH48i5ayjINUckpGJiQJwUAwA++slSJMeE4d1jl5EUHepw85MWbV6saXEYEdqwIhcMIEZh5FI3wrGeWGYAeNh5uQhRnLeOlIniKX+cWWCcrW4V1/RJSSVOlNVj6vgx+KSkCm8ethZqHMdjvaTG5HhZHWZNSkCoZSaVkEKTRqn6TZzVpGzbgl+zay3AgMFUy/RvobZoSloMpmXEuXTAtfW5sW0Rl+LMo0UaRWBgrrUR3new3UJKioXXFRmQFhdhV1Plj8W83i5+JghieFA0omDq1Klobjabjt1www2YOnWqw3/E0MIwDFQsK35kGfOgw3CZgstdJ6+KrrmOZiIB5oiJ4CorNyZAypY9pfjUYvkvfZ40ItRp7Lcyd3N0zI++qoSaZbFld6mdl4sgvMqutaLaMp17dlYiDpRWAzbt15P10VYmfuW1reB53uy029KFK/Xt2LgiD689dgv6+jmEaYLEbjAhwvLEy5/h8wt16DT2i8cSxhdsXTMb2fpo1LV0metO2nvwt88v4d0vzCMMzlQ0od/E4/SV62JHlKsiW6nPjTDyQC5y5c68Jd6muFduJIQUcyRmQGDY4qpYWLq2H715HJ+WVmPjijy88ujNuHdeJoqmpuG++Zl47fFbsHFF3rAX09KoBIIYGSiKyNx2223QaMx/UG+//XZfrocYJMLGIGdWJt3Idnx+yeHdudCq7GjkgPTPOcfxKK1owsLcFDBgZCNC5uMlifUpcu23LMvgydvyxMiFbUHwuapmLMrTIyEqBPGW6dxT0mLQ1NFjvRlyZsEi9ZCRi2AINR1zJieB43j09HNWUSJplErwwZEeJzc9xu6YKpbBTZMSsXaZASzDYGx8BLp6+sQJ5M6w9bkRfg62kSt35i1tWG4f0fGkWFjAVbGwdG3OvIC+uFiHYDWL6DBl9Tq+wlvFzwRBDC+KhMzPfvYz2c8J/8WRWZmwkX13biY6jX3iTCapQBFalYU0lLPNb6HB3NYtdH7wvPl50u6iCG0QglQqJOgGZijZHrOrpx+JuhDRg0Vo4RUKhm/MjAcAJOaHiumm9/7dYrTHSiMyJrF4VuoTY1uoK631effJQhw9dw1LpqY5FHZLp6Yh1tJ1VdnYgSdvy7M75roiAxJ0obhS145xCRHISIyCieMUdfHY+txkpegQGRpsVfcEuDdvSe595Yq2w7Rq9PaZEGxp/XYUJXHk5CugxAtI4L75mS7bu32Nq/ORQqMSCMJ/oRqZEYqjNm3pbKMQjRo8z8t6efT0mayGNwoFrffMyTBvQCwDE8ejvbsPAOxaZoVNIitFZ9XKLa1PETbURwonY7I+2qqORkirSKMgK+dmQK1ixWjEsQvmiMULktQSAx7t3b2ih4zgPvyJpRNIWtvSaezH8bI6hGnVuHitFSpLlCg5JhTxUSHi83p6TdAGq+wGUEqjIrZmg/rYMGiCVFCpVDhfbV8/JF1Hd48JXT19ULMMWjp7xGLfmqZOlF9rtRKb7sxbulLf7rB7SCowGACvP7EAcZFap8dzJI4FvDULaqhwdT4CNCqBIPwbEjIjGGmb9sHSaqyVeJq8d/yy2OlSNC1NdqYJx/EWV1kgJzVGdpLxYksNiG06QtgkBBO+p988jvVFBizI04ueI/tLqjB13BiziGEY0YEYsI+C7JdJNwnFq3nj4nDa8r3ZE+MRrwuBmmVRerURk/XReOezcmyQiIMPTlwR11+QqwdvEV3Sqdp1LV3i85ZNS0N6XITdAEpHtvyPFGbjersRibpQ9Js4sZNJ2pFV09SJnf+6ghvGjUFOagw6jL3oN/FYckMa0uMjxJQVa4lICZGrXgXRHYGrDe2YrI/2WveQI3EsIK3pcSQad528ivPVLX4R4XB1PgL+0F1FEIRjSMiMYKRt2j9cnINgNeuy0wUAVKyQYgB4Hli7LNdqSKMSrw1hk4jMSsS7xy6jn+Pxm10l+PBUBR5eNBmT9Tp8d04GeAD9HI/Gtm6cqWwSIxcR2iDEhGvEKIiKZewKmIVam9tnjMdfLN9LCGfR3NiIs5VNyEzWoanxOtIjgQmJwXj29U9x+Ow1q/W/+tFJ/Pzu6Ziq10IzIwlsXyeeff1fVs9bYYhFU2MPKqqvobezFV3tzeLnAhN0LN4/Uooey+NcnwlfnqtDvC4E+nAOfzt4GitnJAE8xHX8oDAb0UF94tc/uiMfU8fH4ZdvHcKhswPeOM+9cwQ7/hmJwrxUzM1JVhRFmJyiw/ycZKtONm90D8l5GAkcL6tDQa65jsmRaCzI1WPf6UrkjxvjFxEOZ+fjL91VBEE4h+Hl2hNGEG1tbYiKikJraysiIyOHeznDiqNpxAKFlmiJN14rdHgwALbtPYO9X1YAsHa7FY67frkB24+U4+SlBmxdM1tsve7tN+Gvn13Cm4fLsHF5rjjb6c3DZeL7qFgGN0U24D+feEDpZQh47rjjDty0+meyPw/p9a1r7Radd3NSY1DX0oUvL1/H2PgIjIuPgCZIZZ7nJDGkU4Kwqde1dlulI5dOTYMuTAOO47Fld6md6GVgHouxbpkBKtZ/7P8dnc9wjUogCMKM0v3b44hMb28vrly5ggkTJkCtpsCOPzMYvwxPXstbXrd1dykeXTLFzon3FkOK1byljRa/FCHCIniwJOpC0NTRI9affF3RZNfFY+J4/ONC+2AuT8Dx/vvvY8vWrbJRhHVFBiyw6aZ641AZJqdE46nb8rBkahrqWrux49hlj6345TyMpLOJpJPJpfirwZyz85E+ThCEf+K2Aunq6sLjjz+Ov/zFHMy/ePEixo8fj8cffxwpKSl4+umnvb5IYnAMZligR69lWdEtNXdsrNj9NElSECutd5HOQBIciDuNfTBx5iGOOanm+pM/fXIOWyxmeNKN8qffuw1nM004eOAAeAAd3X0I06pxpa4dY+PDca25C1WNnU7XP31CHGpbBp43ISESsZFaXKlrR2RoEKJCghEcpMKl2jZ09/ZjSloMLtW2ITIkCHFRITBxHPpNPL66ch3h2iBMSYtBT58Jp7+5jvHxkRgTqUV1Uyc0ahXiokLA8Txqmjqt1jVjYgKu1LWhvrXb6v0b2roBAO21V2BsbQAA1De2WM03au7owcTkKIejFJZOTUW8LsSt9KArGIYRf09UDAOe510a/wH+azBnez6DhYZQEsTQ4LaQeeaZZ1BcXIx//vOfuPXWW8XvFxQU4NlnnyUh44cMxi/D3dcKIXo5N1nBidd23lLxN41i3YeJ4xGkZpGRFCVGYCJCgvHBiSs4J+M/I4ijudmP4gc/fBQMA2iC1Ni0sxh9JVXY9ZOl+J0kteWI3ZLnCaMXhGMIX5debUSWPhrb9pTi7tkTkBQdCp4HtuwuRVVjB7ZYXrO/pAp/fuIWxEcNtIrv/MlSnKtqxsRkHbbuLsWGFbl263r36Vvxt88v4cvL17H5wZvE9xdsA8/uehFV//rI/IWpF28eLkNCVIjYQt1v4lDbYj+B3HZWlFwh7rnqZlxt6EB6XDhYwKON19vTtQMVGkJJEEOL20Lmgw8+wF//+lfMnDnT6j9jTk4OLl265NaxnnvuObz33ns4f/48QkJCcNNNN+FXv/oVJk2aJD7HaDRi48aNeOedd9DT04PFixfjpZdeQkJCgrtLH7UMxi/D3dc6c5PtN3Hi9G1ph4t07MD+kir0mzg0dfSIERhhcCVgb+jW3duP2uYuxOtCcL66BZlJkVaDFp1N1ZYifZ6t6dz56hZUNXYgWx+Nc5YBlALS6Mc+q/btUCub/u4eE3JSY8Tn//BW+wGODAMsytVjoSFFNrKhChp4/qv7S1HeF2f1+LtPFtqlmqTnI53jJBTitnT2YMkNabgxIx51rd3YfqTc44030AzmfBExoSGUBDH0KBpRIKWhoQHx8fF23+/s7HT7P+ahQ4fw6KOP4osvvsD+/fvR19eHwsJCdHYOhNvXr1+PXbt2YceOHTh06BBqamrw7W9/291lj2qEVmhXPx05vwxPXivnJvtpabU49gAA2rp7xeOer27BvuJKrLNY5/O8OdoiRGA4yXgD6QiBryubkR4XIdr5X61vB8sw4nBKAE5HMUg5V9UsrmdGZgIOlFZbzVbSx4bjbFUzpqTForu3H109fXZeMsJ5rpyTgbqWLjwtsekPDmJQ19IlionQYLXdmAC1ikVidCgSdCGykY34mCjx8+Pn7NM3jnxchPORznFa8+I/8eZh89Rqod179baDePNwGfZ+WYE3D5fh/m0HsWlnsbg5u8ITwTwcCO9b32bE9iPl2Lb3DLYfKUdDmxEAFJ2rI1iGweZdrsdHkIghCO/htpCZPn069uzZI34t/If885//jFmzZrl1rH/84x944IEHkJOTg7y8PLz22muoqKjAqVOnAACtra14+eWX8cILL2DBggWYNm0aXn31VXz++ef44osv3F36qEXql+EMwS9D+kfW3dfabmZZKTpsWJ6LWZMSrUzyUmLCrI67ZXcpDgqbvpoVN+TffXQGPX0mOzF1oaYFmz4sBmuZg3S8rA55Y2PthJSrWVECYyI14npsBcGquZmobenCU69/gSde/gwq1tzlIxU7wIDI6urtx77iKvRLRBfPA/uKq0Qxsf1Iueh0LMxw4nkeXT39DiMbhvGJA+/VZ/+4o9lM4TJznKSDPW2/99RteXj3yULs/clSPFKYjfPVLYojMu6KXp7nYeI4q4++RIyYeEG42eJOjVB9a7fPz5UgRgtup5b+53/+B0uWLMHZs2fR39+PrVu34uzZs/j8889x6NChQS2mtdXsyxETEwMAOHXqFPr6+lBQUCA+JysrC2lpaTh27Bhmzpxpd4yenh709Az8kW9raxvUmkYKg/HLcOe1wmb2ztFyKwO+D05cwbQJcViUqxdN8s5UNFnVuwhOv799YJa4IT++ZAo0QSqEaYPsinxVLIM+S6GwUIsjNdUDIDvXSW796XERKL/WirXLDKK1v9DKPG3CGHF0woWaFgSpWPAqOEyjhNrMVhJeI4gJIb0UF6nF2mUG3HqDHpNSonG+ugVZKTqrAZtSJqYORELlhIx0NhMracPuM3F2c5xULIN/vz1f3Hilbdty/i/C74GzdJBSg7nF+XqMsRT6Ci3PQ1VHwjKMWIhuy2C7qgZTI0SFwQThOW4LmTlz5uD06dN4/vnnYTAYsG/fPkydOhXHjh2DwWDweCEcx2HdunWYPXs2pkyZAgCora1FcHAwdDqd1XMTEhJQW1sre5znnnsOP//5zz1ex0hFao5nO45AybBAd16bEBWC5++dgSx9tFWXjOATExUWjHePXcbbR8sB2M9wYmCuFZHOScpNj7ETI+uKDFCrGNGEjeN5aCxiQeiSEopaVax5KviqeZnYb+nysV3/R19VYFKyDovy9Ci0DKi8xZACRhIhyUrRgeN5UUDZsjhfLxuV4njeSkyoWAYMADXLYEpaLDbtLMbcyeaIy9WGdrs2cwDQRYaLn8sJGWlhtXSo5cq5GUiPi8DbljlOsFy7hKgQ8XtygzUFpLUdPJzXdigRvU8UGYaljmQwNgRK8KRGiAqDCWLweGQAM2HCBPzpT3/y6kIeffRRnDlzBkePHh3UcZ555hls2LBB/LqtrQ2pqamDXd6IYDB+Ge68luN5GNJj7dqAhejIojw9mjp6HA4wZAAkRodazUk6eKYawIDokXY6rZybgbjIFPz1aDlWzs1EQlQIfnP/TBjSY62iCxOTojA/J0l2/RzPQxemEWdKbViRh0LLgMpHCrOtCoEZy2ulYkOIaCzKM0eFpI8tn54OY58JaXER4lDIdUUG3GxIwdnKZsREaFHV2IEZExPA8zxOXmrA3bMz7CNQkmJfTiJkpF1IHMdj3TID1CpWHHCZEhNmNcRTSCkJRdS2XU222EYqnEUP5ESvRs1i2oQ4pMdFiEZ4St/Lm8hFTByNUvjycgMW5end6qrytEaICoMJYnC4LWT27t0LlUqFxYsXW33/448/BsdxWLJkiduLeOyxx7B7924cPnwYev1ALUNiYiJ6e3vR0tJiFZWpq6tDYmKizJEAjUYDjUbZH5PRymD8MpS8lgEc1goIPjHSP/i2E5LffbIQdS1dmJSiEyMGtqJnYa65s+df5fVYNS8TL+wuwbzsJNS1dqOv34Rsm2gQAOwFsHVPqXmDWGYAw1pvwIIw+ri4CnfPGRhQmT8uFgsNKXjnaDnmTk5CX78JoZoghGoG0l1CRMPYZ8Khr60nac/ITMDhr6/h1htS7YSD4KezzNJZFB8Vgt5+TjYdVtXSK16j8WO0mKiPxpO35SElJgx1rd1iF9Lqmyehu89kNeAyNkJr15UVERJs5dPjLFKhYhkY0swpX1fRA1vRq2JZ1LV24+2j5Zg2IQ4xYZph8ZqRRkxcpdKEie7uHl/pEMqlU9PMfkvDIOgIYqThdrHv008/DZPJZPd9nufd9pDheR6PPfYY3n//fRw8eBDjxo2zenzatGkICgrCgQMHxO9duHABFRUVbhcWE0OHs1oBE8fjyLlrKMjVOywKPV5Wh1CNGirWPlR/oaYFm3eXgGEY7DtdKQqAT0qqkDc2Fl9eaoA+Nhybd7voHNlTalXvYVvUHBkSLJ6DUDD8/L0zEKxmcamuHZ3GPvRzHNYtM2D1zRPFollNkAoXr7WKQqQwTy9O1+631L5I27uFwmKhs6i5s8d8LEsH1MYVeXjl0Ztx77xM9PID9x3Txkbhtw/MQkJUiFXh6u5TFeK1EQZcHiitxpFz17DI0iUlfE+oqbHt0pJj3bIBx2C5Itm3DpfJFO6aXyt9TWpsuOzPxRahjsSbnU3SiMk6mQ4u4Xwe/P2n2LSzGLybRb/uFMZHh2moMJggvITbEZmysjJkZ2fbfT8rKwvl5eVuHevRRx/F9u3bsXPnTkRERIh1L1FRUQgJCUFUVBQeeughbNiwATExMYiMjMTjjz+OWbNmyRb6Ev6Bq1oBaS2H3N2oo8JdIQ0wLzsJaovIuf3GcaJDcLCaRXp8hMPogm0aod/EgWUZq/SSUN8h7Vw6X92C4xfrMGNiArp7zW3e2fpolF5txJS0GLHdWph8HROusfK76TOZ62l4nseiXD3CtEHimoVOI+H93jh0ERuW5+GWKSl2abc0phbPWc6lq7MLLCM/DkC6duHzk5caxGsufO/Ly9dRkKu38umRIytFh8I8+dSTNLIhDPgU0nhLpqZh007r9TlqEZfD214zQsREWnvl7WiI0sJ4Mg8kCO/htpCJiorC5cuXMXbsWKvvl5eXIywszK1j/eEPfwAA3HzzzVbff/XVV/HAAw8AADZv3gyWZXHnnXdaGeIR/ourWgFXnUQXqltwpqIR2fpoFOTqrTqgGlq7EaRixeiGdGPkeB7j4yOww2K6J5Ctj8Yz374B8VEhYgpGLi0ire/oNw0U82al6JA2Jhx1rd0ovdqIvLGx2He6Umyj/s5N40XvGmnnkCBE/vM7U1GYnyr6xEiFg/B8QdC8ebgMd980wWoz3GRJu7XVDNwo1DQ0OxRs0jZs4fO9Xw5cc6Era3KKDv0cB4aH05/XqrmZDqMHjoqEcywpLdvXKDUoBOzNGQeLEDGR1l45w5P0ltLCeMBx15st/mAeSBD+jNtC5rbbbsO6devw/vvvY8KECQDMImbjxo1YsWKFW8dSEi7VarV48cUX8eKLL7q7VGKYUFIrII1YOPqDz/E8kqJDrTqg8sfFYn5OMiosnT3SjdHE8dBITPdULIP1RQYszNWDB+/WnCGWNZ9DQlSI2ML8ztFyMbLxjqXjatW8TKtCWtto04WaFvC8uZOru7cf1Y2dGBsfIa5ZeL50IOYP/u8I/vjwXMu1ycS+0+Yuq+50Fl/80bxuFd9vZ9onjTYV5pnnW0mFlXDNF+XpUTQ1DTERWrzwYTHunpNh9fOyPRbH8VYdT5C8p6PIxozMBDHqJKBiGdEIUUkdia05ozfgeB5Zep3YTu8MT6MhSgrjTZx815sc3hZ0BDHScLtG5te//jXCwsKQlZWFcePGYdy4cZg8eTJiY2OxadMmX6yRCDAc1QpIzdZ2/8cSzM1OAs/z4h/8x5dOwco5GYiL1AKAuAEY0mNF07YZmQlQswxOXmpAckyYKGgYAKe/abSvg8hNAcsqd1sV6jsYAHGRWrEuRKjXEaJJjxcZUFrRhLUvf2Y19LLsWiuqGjuwfrm5PmZyig6xERqUX2tFsJpFmDYIda3d1q7GpysxKUUnGvf19nP49c5ifF3RhDERA9fmrjlZ4rp7e41o6ugRzfS2rpmNbH00PjhxBTs+vySa7UkNAYWC6c27ShAdrsG15i7sK67Crz84bRZseXq7Y/1u7xnZWiXAfpSDFLkUktDy7ak5ozdgGWbIRikwDAMVy1p9lK7DU7dtgiCs8Si19Pnnn2P//v0oLi5GSEgIcnNzMW/ePF+sjwhAeJ5Hd69JTB0dtNjjy3WICKkdIRpie9dp2wEVplXD2GcSO3sWGFKgVrHihO3pE+Ks6iB4nhdrNxwh15ETrGZx9+wMsQZF2oItjSaZJ1h3YJHl/dcVGZCgC8XZSvNMps6ePrAMg4++qsCNGfGYMTEBbx0uw6p5mWLURjhegaV+4tYb9JiSZm4dl84+uiFl4A6+vb0DMeEah6md6DAN1i4zYNueUuy3jH8QUlUfF1fh0SVTxOcLYuqJZQaAh92xHluSIxs9kIu6CNimkKTRGzlPIOnP25k5ozcYzOwxb6HUPFAQdARBOMYjHxmGYVBYWIjCwkJvr4cYAXA8j/eOX0Z8ZAg2rsjDDwqzoQlSuZXakR5LWhTZaexHfWsXFhpS8P0/mJ2kBQGwdU8pTpbV48aJCfh+wWR09vQhWK2ye09b5MTAUzY1HtIUjW0r+E2TEhGmVeO++ROtUi2TknX4zf0z0dNngi5Mg5/+9SR+fvd03D17As5UNNq5Gu/9shK//O63MFmmdRwA/tJrFD+vbWzFrfmpiLN0Ldluhh99VYmctBhsXJGHrp5+sXBVMB4MkoyBEJ4vlyZSseafhyDUpOtxVrgrvV6Cl44jTyDBCDEmQoOFhoHWZ195p7jTJu3LaMhg3LYJghhAkZDZtm0bHn74YWi1Wmzbts3pc5944gmvLIwIXFiGQWN7D944VCaay3naIWKbBjheVoe89FjERYWInT17v6zEU7flYeOKPDR1GM11ECk69Jk4sbvJEY7qPGyjDXKdVgP+N8XYuDwX98yZYBX9uVDTgiA1i/PVLeKm/l87ToldPp3GPrPb8NxM7C+pgsaSenJ0rVh1sPh57fUWjInU2kWbbP1Rjp2vxaysRGzaWYyK6x1iBxRvE5UompZmlybKStHh32/PB8MwSIwOtYseSKMutnU13T0mhGnVVl46wvV0ZITYaezHFxfrcPqb6yjM05vHgfsAf4mGDMZtO1Cg0QvuQdfLMxQJmc2bN2PVqlXQarXYvHmzw+cxDENChrAK3eeOjR1Uh4htGkAQFKVXrSMaa176JyYl6/D0Hflo6O9GfFQIglkVjJYOHUc4qvOwjTa46rTauqcUN09JtouiCFO5syUGebbRnHhdCFbOyQDLMk69RRiWhSooGKa+XjRUXMTkydlo6+5FW9eAUV5MhBZPvKlGc0cPOo19iInQQqNmca25CwDwiuR5wveDQiOBuX/EgeYuK5fiwnyzI7axrx/BapVVekraoSUURNumDb89YxzWLzdAxQLhMtEbWyNEgaKpabg137du3P4SDRmM27Y/Q6MX3IOu1+BQJGSuXLki+zlByCEN3Turo5DiqEPENg0gCIpbDCm4UN1sn54I12DHscu4/cZxCFIxqGnqlJ1bJOBofXJtwtLaGNuUyNKpaQhSsXabtTCV21YESaM54sZZZHDqLaJiGeh00WhsqEN/Xy8uXDhv95zO686/dvT953/5X1i+7gUAA6m2ryuaEB2uwdmqZsyamABtsMrq3JvajUiMDkW8Jb1lK+LeOVqO5++dgbXLcsE5GIQpx1B06fhbNGQwbtv+hjhhnEYvKIKu1+Bxq0amr68PWVlZ2L17NyZPnuyrNREBjjR0P1gDNLk0gCAoBF+Z7t5+3DVrPLRBKvNxOnpwvKwOsyYlIDIkGHFO0giO1mdb4wE4TonwPA8Vy1p5zwgIEaR3HAzIlNaFSNu4bRHSPLvG/Bz/8ZOfwtTbA4YB+vo59Jo4AIA2SAWWYdDV2z9wfho1evo59FueI0WjVqGzwzwd/vLlK4gJ18iOTxBazkuvNsKQHouo0GB8Z9Z4BFveT86UDwD6OR5/PnAeW9fMxuWGdr+oS7F6rxEaDRlufDlhfCRC12vwuCVkgoKCYDQaXT+RGPUIofseF6kdKY7uxG3TALaCYs7kRGiDVKKdfUy4RhQQYZoguzSUbepHbn3O3IelKZHfrp4pFucKM5mkm7XQjr12mQFbdpdiz6kKLLOpC6loaEd8lFZcuxTbNM/sW+9C0yOPoKapExzPI0jFYs2L/8TaIgMW5poN+t48XCa+/t0nC/HBiStW35Me+8zLa1F5pRz1dbVYZJkxJKTaNqzItWo5v8VybvFRIZg5MQHBQRAdjR0hpO6udxgxPjFScV3KUFryj6RoyHDXWPh6wvhIg66Xd3DbR+bRRx/Fr371K/T397t+MjFqEfw6tEEqFOY5nqsk4OxOXDjWxhV5+MsTC3DvvEwUTU3DjZlxyBsbi5Bgsx5XsayYirpg2XxNHIdsfbSYhhLmFhVNTcN98zOhYiHr5yGtiZFbPwNg9c0TMSUtVvSokXq2CNi2Y//ojnzUtnTh1YPnsf1IGTp7+pCTFgPGco62a5GmeTqNfaIx4JoX/4nf7CxGgs5sGHiLIQWMjD+KEFmSu/4mjkcHby5m7ezsRHgQh9lZiaLRXp/EH2eLZfbTqnmZyEk1e8z09JlER2NHCHOcJqdEo/xaq9PrWZinxxNFBpTXtnp1xpIz7OdDBeZMI+F61bcZsf1IObbtPYPtR8rR0Ga+8XR0Xt4+f3dHLwzVz9lfoevlHdxuv/7Xv/6FAwcOYN++fTAYDHZjCd577z2vLY4IbIQ7B8GcbTAdIkrTANJUlNBSLKREbNNQ/RwPNctYTbGWIq2J+e7cTHxSUmVVRxEXqbUqzpWa4TEMUHm9w64dW65L50CJWSAAsEqjSdM8P1ycgzCt2qqjSToDatPOYvzw1myHqS1H118TES1+XnPtGjIzMsQJ3cHqAX8eubSaVuKi7AghdRemVeOjryowKVnnNL2273QlLta04NElU+yO5c1ow0gqrvSkxsJX5z9UZoMjBbpe3sFtIaPT6XDnnXf6Yi3ECMWbHSJK0gDC+52vbkFNUyeeev0LTLSIiJkTE6AJUqHDIiJ2nbyKZdPS7DpyAHPE4oVdJWhoM2LlnAl2Asr2bkrODK/Wph1brktHuAZxkVrwgHit8iQdXxtW5FodS6Dd2Ifali7kpscgNHhgNIGwJlfdVprwASFTV1uLCRMmICZcg5zUdFxvMyLJpu1aeg7vPlnoMm0opO46jf3QhWmctl0/995XuFDTgvvmZ1qlGL296Y604kp3ayx8ef7+YDYYSND18g5uC5lXX33VF+sgRjBD3SEivF9WysBMHUciAgDKa1sxPjHS5fpYGwHFYmDwn60fjWCGJzcWwRarji2WtRpcKcw44jhe9lgzMhNQ19IlDrCUOgYLOOu2ush/C784thMAUFdXJ6a3QoPV+ODEFSREhTgUQcfL6sSIjaNzFFJb0uJpZz8L2xSjLzbdkVRc6UmNhS/P31/MBgMFul7eQbGQ4TgOv/nNb/Dhhx+it7cXCxcuxM9+9jOEhJB9NuGaoe4QYRjGSmg4w8Tx2HuqAo8vneLW+qR3U7Z+NIIZnidhY+G9hBlHWSk62XlHWSk6hGvViEiKEgVUXKTWTngIaaE9pyrw8KLJVuf35pWBep7a2loxNSdM6H7bSbdV/tgxGBOpdZo2FFJbn56psUtxCSZ6syYmIkSjAsfxULGMVR2AtzfdkVZc6W6NxXfnZPj0/P3FbDBQoOvlHRQLmV/+8pd49tlnUVBQgJCQEGzduhX19fV45ZVXXL+YICy4Sg15uw7C7bAtyyruYGEYRkzlyPnROOqIcvr+kvcU1p+Tmg6TxIdF2slk4jg0tAzU6TiLvthGv1QMg6SkJPH9amtrxfcVnH9dufBGhATJpuUA811k2phwmDgO98wZGMugYoGc1BjR3ThMq0Ztcxf2l1RZpY3iIrVe33Td3fjdnXw91LhbY8EDPj9/X5oNDndXli/wF3PGQEaxkHn99dfx0ksv4ZFHHgEAfPLJJygqKsKf//xnsKzbzU8EYYUvig99HbbleV4sZJbzo5HzonHn/VmGQUGuHuHaINS2dInnIp0NtXaZwSrl5Ex41Ld2ITZCA5Xk/2tiYqL4eW1tLXiLiGFsrp2jdJCaZbDjyUKXaTkAmJIWi66eftEgr/Rqo9iFJZc2ev9Hi72+6Y604kp3xfpQnL8vUskjqTjbFn8zZwxEFAuZiooKLF26VPy6oKAADMOgpqYGer3eySsJwjm+Kj4cbNjW1d0fyzD4urIJa5fJ++W46hhy9v48z6O5s0ccoHi9vRv62HCrwZSVjR0OZ0nJCY+iqWl4fKl1N5CtkLGd/i23dtu5SoL4UZKWCwlWgWEYvP2ZuZ7H2QwujYKuKGE908bHidfN2Z36SCuudFesD9X5ezOVPNKKs+Ugc8bBoVjI9Pf3Q6vVWn0vKCgIfX19Xl8UMbrwZfGhJ2FbJXd/wvO+unId1Y2dWJSnd7tjyFnYmON57DlVgYSoECwwpCBJF4rya61WgymfvC0P/YO0/h8zZgxUKhVMJhOKz1/B6m0HxTVGh2ms1s5KUloNrd2ob+1CsioM2iAVTJb6FkFAONv86lq7kaALcTmDy1VqTppiq23pwvYj5S7v1EdacaW7Yp3n+SE9f2+YDY6k4mxXjCRzxqFEsZDheR4PPPAANJqBPyxGoxE/+MEPrLxkyEeGcAdfF1+6G7Z1dvcnzA4ypMeirrUbHd29KDDo8cDvP8XXlc1YvzzXrY4hZ2FjIQXw9tFy5KTFIDk6FB99VYGHF2WL65qRmYCKhvbBpa9YFgkJCaipqUFDfa3VMWx9dDqNfRgbHyH68vSZOLx77LIoHhbl6ZGoC7W6k7RFqFG5/cZxLmdwuUrNSVNsSu/UR2JxpbtiPZDOf6QVZxO+QbGQWb16td337r33Xq8uhhh9DEXxpTthW2d3f2uLDFY1HZNSdNi6ZjYKcvXISY1GP8fZFb466xhS0hFl4nhs2lmMTatnQhemseqECtOqcfLLBocpICnO0mdj4uJRU1OD3s4W1JYeBiTrearkMDZHh2Lu5CRkJEXhg4Z2JMeG4de/r0BpRZPVz+23AAxpMSialgbGQWqH53kc+KoSQbWpOPBVJWqvOJhqCeC3Nafw4C1ZiGv7BiUVTVaPJceEouViJ9a89Q0uNDPQpU22ej9nd+ojrbjSE7EeKOc/0oqzCd+gWMiQfwzhC4ay+FJJx5Sjuz9bnxhgIHW0bpkBahWLFz4sxpS0GJeDIV2lXgDrFMiSG8xzlsxdPgPplk5jP3r7OUXpq7VFBnAcZ1eYz/E8mJAo8/lzHEp2/NpuLSUA/uF0tQMUA3hTwfP+ouA5JQD+8Udlj01a8n2kz7rN7nlyd+ojsbjSXbHuyfkPR8fQSCvOJnyD24Z4BOFN/Kn40tndn61PjMCWPaXISYuBWsViX3EVPi6uctiq/Px7X+HHd01VFP4WUgBCce/bR8qwcm4mvq5oEtMtQurl+384hMjQYPPGNC8T+4oHRikUGPRIjA5FV08/QoJVdu/DMgz0E3NR/MWhwVy6Yaf56teyQsbRnfpILa5UWmMhPf9VczPAA+I1kKvXGq6OIX/6+0D4LyRkiGHFn4ovnd39yfnEAObUUWRIsNVjzpxr3Ql/czyPlZbi3r/88yJiI7RYYEiBWmWegSR0RQl1Ow2t3egw9tnNkrpU24oJiVEO3+Pb9z6MSmMoetoawTDA/OxkTErRobWrF2XXWtHV04+5kxPRb+JQfLUJEdogu8dDNWpMTIpCZGgwLlS3oKOnDzeMG+Pw53XqUgOmTYjDp2eq0dLZi5zUaKTFRUCjZtHTz6GioR1fVzYjOiwYN09JAWCOCPCAOHBy/5eX8I+3XjI/xnEOr6OzO3Xpxs9arof4cQgiDsOJEoHCA8PaMeRPfx8I/4WEDDGs+FPxobO7P1ufGGkLcriMh4wj3Al/swwDE8+LG4hQfFtgqWHYuqcUVY0dyHbgxcIA4kbjqACXYRgU3TgBf/tirjndsDwXtxhSsHV3Kb4oqQKfYH7e939YiHCtGmermjExWWf3eBeARg4oGK/H754woKymBZP10Q7rf3iex7mqZjy+NhpqlkVNUycOlFajqaMH+nANHsg1p+I4jpOttzFxHLS7/yURMiaH19HVnfpI9ihxhNKWZhXLDmvHkD/9fSD8FxIyxLDjL8WHzu7+hNoUactvTVMnPjhxBXfNGu+z8Lc0SiQUDu/9shJP3ZYnbh7OvFhcbTSsZKOobOywqwMSOF5Wh5tzkpGTGuP0/SobO3CxpgVZKTrLms1CRJhVJY10ZKfGgLcUMzvbTOWuFMswWJSfPvDeDoSMqzv10eBRIoeSluYlU1MxJjJk2DuG/OXvA+G/kJAhhh1fFF96Upjo7O5PqEdJiAqxa/lNig71qAVayRrlokTnqpux5qV/4hf3fAtpceEebzRCcXPxletYu8yAizUtDr1ddp28igWGFNS12E/gBmAn8N4+Wo4bxo1BTmoM6lq6sK+4yi7SwQDYtNuzu32GYZAcGzHwfFO/+LmcYZ8jRpNHiYDSlua0MREuW+QB33cMjcTibMK7kJAh/AJvFV8ONk3g6O5PqEdJjgmzi0i46+DL8TwYQNEanUWJJuujB7XRCMXNwmDIhbkp4rRwW8qutYLjeOyzuSMWEDxd3jpchgRdCL4zawLUKsZhtGX7+oXoM/GDuttXqQf+fPEcJxstc3ZtR6tHidKWZrmxG47wdcfQSC3OJrwDCRnCrxiMs6U30gTO7v76TByaOnrsNj53HHw5jgcP5Wt0FiUa7EYjpK2ElFVBnt7h8dYVGWQncAMDremlVxuxal4mGlq7oQlSOUxBTUrRISo02KFokuLsbj84KEj8PCMxHNvWzMbY+AjFBnmj1aNEaUvzYIee+gJyviXkICFDjBi8lSZwdPcHOJ4c7I6D76ad7q3RUZTIW9O1BRwdTxAq3b3yjy+fno5OY59oFpg/LhbZ+miHkY7l09O94g/CsqxYf8PwHDKSotyqFxqtHiVKW5qPl9Vhkc3YDTl81TE0EiddE76BxlYTIwKe51HX2q0oTVDf2u20bkKAYRioLJulimWdbnxCVOOJlz/D15XNuGvWeDy+dApWzslAXKRWHKzoyRpZxjzDaOOKPPzliQW4d14miqamob61C4V5etliWKvzgPPp2sJ3hTog2+MJHjqfna/FIpn3mzUxEWHaIGzdXYr9JVWYkZmAA6XVDje/WZMSZIdsOkIQYbbwPA+1Jb3U39/v9rX1xKNkJCCkK1393uw+eRWJlunuzhBSpt4SGcJ1rm8zYvuRcmzbewbbj5Sjoc0IAIr+7xKjCxIyxIjA3TSBJ5uSko3vQk0LNn1YjL9/cdlcC2O5i6xvM4ouvJ6s0TZK9PjSKRgbH4EEDzca6XRt4fW7Tl5FckyY3fEEYVJytdFuY1OxDEI0KtQ2DxQBO2pHz0rR4anb8hAarMbl+nZZ0WSLnAiTbnSMyixkent73b62Sjf0keZRIk1XOiN1TLgYDZQTzObrMtAx5A3E9PDOYqzedhBvHi7D3i8r8ObhMty/7SA27SwWn+MKnudh4jirj/5OIK7ZH6DUEjEiGIo0gbvmXAwYq5qdvT9ZOug12tYIuNOaCsAqVC9M15bW9sjV+gi1OLnpseg09lk9vq7IAJ7jsd9Sk5KVorMTfLZFuCaOx9X6dmRPTXPbH8S2DorjzdfCZDK5fW1Hs0eJ0t8bBubfuaHqGPJGejgQfYECcc3+BAkZYkQwFFbmnmx80noYXxRPKmlN5TjzH8G61m7xj+QTS6eI07WBgdqeg2eqUVbTYjXuQEgDzchMwPsnriA+MgQbV+Th/vkTEWf5IyuIiOXT02HsM1m1o//6vhnIShkw7dv7k6W4YdwY5TOiJN0pthsdw5rHLvT29Xl0bUerR4knLc2+7hjyRhdZIPoCBeKa/Q0SMsSIYKiszJVufBzPo8Hmj7JQg+LtNTprTeV4S5fUTus/kt8ryBKna/92V4k4H+qOG8cjRKNCv4lDXFQIVs7JAMuar22YVo3G9h68cagMu09V4Ok78lHX0oXwkCBRRMzITMDhr69hydQ03Jqvx3fnZSI+KtSqCLe7x4TE6FBsP1IGQL5AWjpkk+N5wHIuttdUEDKd3b0eXduh8Chxt2h1qIpc3W1p9nXHkDe6yALRFygQ1+xvkJAhRgRDlSZQuvHJ/VF212/GXYSNRppXd/RHsrWzF4WSjpTy2lbwPI8wrdpqXEBMuAZF09KQEBVi1bV0oaYFEZYZU0nRoWJ3S5hWjYvXWqE6XYnHi8ypiVobE71jF2sxa2ICHi8yYNueUuw5VYFlNkM2KxraERepRW8/h5BglXjXantNGcs0744uo1jf4+619ZVHibvpguFKL3hDoHhDfA02PRyIvkCu1iw1d5Re4+Fet4C/dJaRkCFGDEOVJlCy8bGA3R9ld/xmPFmj7UY4bUIcYsI0sn8ko0I1CNOqxY1fMLRz5MHym/tnIic1GgW5A+JHqJ05ealBFGhC+uxsVTMK81PR22+yO09B0JVebcTGFXmicHr14HkxGpOTFoMzFY2YkhYrXhtO5pqKxb59fYO+tt6MOLibLgjU9II3xddg08OB6AvkaM3umjsOx7r9qaaHhAwxYhhqK3NnG5+jP8ru+M24g9xGePuN4xw6/4ZoVPi6sglrlxmQHBPqcMYSYP7D/8rBC3j27mlil9P+kipRtOz9ckCgXaxpwUKDeVp1V08fQoLtO5gEQSc4AcdHhVhFY764WIeDpdW4Z84EMbpU32ZEaLDa7poKqSWeM2HLnlJEhga7/PkD5hlQvryLdDddEIjpBW+Lr8GmhwPRF8jRml3dWAynsPVH0U1ChhhR+IuVuaM/yrY1KbffOA7hWvWg1yi3ETpz/u009uOrK9dR3diJlXMyFM9QauvqM3ezMOaaHyFCIwi0wvxUAEC/iYNaxTo00ROev2pepnjH6UjQmThz27rcTCupkFlXZMDMiQloaO1GR3cv7po1HtogFUwcDxXLgON4sKx10bMv7iKl6YKsFB1WzctE/thYqFizH1BvP4fibxqx/UgZ6lu7MSZSa1f7I8dQpkSUpAy8Lb4Gmx4eioJ/byO3ZsGAcjDDYH2JP4puEjLEiGS4rcxd/VG+UNOCCx+2oDBPj40r8ga1Rkd5dmddUsfL6rBgSgrWvPhPzJ6c6HKGknBnyFqEzcYVeeju6UeIZiA9JQi0H92ej6SYUNQ2d+FMZZNsEa47gk64a5WmsAa6lsw1MmqGd3gHywD4zf0zkZ0abVX0nJWiw6xJmdCFBYsRGuHjYIQCx/PYX1yJjctzsTBPD5ZhUNvchf0l1oMzt6yZjUu1rYiN0PhNSkRpysBX9SiDSQ8PVcG/N5Fbs2BA6U/CVsBf65BIyBCEjxiqmh1HeXZnXVLSwmO59A8gf2eYmRQFljVHFYKDWJRebbSqSxEMATetnon9JVVW4qOyscNqKnWnsR/Hy+qw6+RVlFjqZeQ2aOGuVZrCEt6PZc1/wnjOJDoL2zIpRQdDeqx4HiqWwfoig1ORMZgIDcswuGHcGExK0YHjeLyw2z4Ef+pSA75fMBlZKTq/SYm4kzLwVT3KYNLDgegLJLfmGZkJfjF1XA5/rUMiIUMQPmKoanYcbYTOuqTKrrWiqrED65cbHI4LkN4ZSlNMDa3dCFaz2LSzGAfPVIsRGqHmZ/qEOHFN56tbsP90JdYtN0DNsnaFi8L6OIuLqe214HnzpHDhrtW2xmjOW6ForzWPKHA220l6h7uuyIBbclMciozB5vk5nkdOagwA2KUHbFN124+W457ZE/wiJeJOykCumN0R7oqvwaSHA9EXyHbN/jR13BZ/Ed22kJAhCB8yFDU7jmoDnHVJrSsyIEEXirOVzZiSFmPVii0gvTOUppikQyF5wC5FFKpRoc/EiWviGQA8XBYuSq+ENMXx5aUGLJG4AEvfb0xUGK7A7OzLOdicpOchRJkAe5EhMNg8P8Mw6OrpQ0tnr524sk3VTUrR4d55mVbdYA6PC9+lRNxNGcRGaIbEgNLd9PBQF/x7A9s193owh2woIzL+uDYSMgQxBPiyZsdZbYBcl5RGzVqljBbn6bFhRZ5d5Ea4M7RNMT1SmG0X+hZqfgDgo58sRXltKwrz9Dh1qQGFecoLF0UDPMAqxaFiGbsU1oUPW1BW2z5wLM4ktmNLkd7hLp+ejs6ePrTKiAxblOb5bQtjAfPPxHZwplyqbvn0dFxvM1p1gznClykRd1IGX15uwOL81GEXXw7f008K/t1Bumae5/221sdf65BoaCRBBDjOhgBKp3I3d/Tgu3MzcNdNE8RJ0SqWwZS0GHA8j3XLrIcDCsXCtqkZV6HvTmM/rta3I0EXiu8XTHZZuKhiGRjSzKmY5s4eqFgWm3eVivObALMg+7S0GhtX5OGVR28WJ4AnxUaIx+E5k8P1SJ2HVTIiQw654Z1SpMMr3z5ajrNVzeKU9OAgld01kivinJGZgH+crhQjZ86GM64tMoDjOBer9gx3UgbpcRF2A0cd4e3J2O5gO73eHwWMLQzDgGVZRUM9h+PaKh04OtRro4gMQYwAXNUGpMeFI0uvE+9OhbtvIdXxdUUTpqTFYOOKPKyam4n9JVWoauzAojw9wjRBVhEYVzOjjpfVIW9sLPadrsQCQwrePlruVDQ4SlsB1s6mQoEwAHx75jiEBquxa0sEzokXQV7ISIuew7TmP3mDzfPbFsZuWJ6Lick6bNpZjEcKsxGkYuyukVwRpyAKbWdeyY1rOFvZhMn6aEXrdhd3Ugbj4iOw49hlu4GjDmdlcRxYlu6Z3cGfa338cW0kZAhiBOBObYBQqCmkOkqvNiJLH43ffliCyusdVuMCBOEj3fhdzYwSiozfOVqORXl6p6LBUdqKdeJsWpBrFlflta1Qqwf+hM2bnIjPLrc5XI/gPCwnMhzhKM8vLYy1PYf8cbGYNSnB7hrJRbIEUSjXji4It3NVzai83oHcdHPUyhst4ra4kzLQWKJNwy2+RjL+XOvjj2sjIUMQIwSltQHC3XdOajoaWrutWpMB4Lyl1gUANi7PxQJDitXG72pmlFBk/ESRAUYXhYuO0lZKnE3XLTNAHRQkfv/hgokIO15rd5d4oboFZyoasX65AeerWzA2PmJQwzttC2Ntz0G4PmGaIKtrJBfJshWF0loj2w6nHccu+8zEz53WZeH3x5n4+uJiHZ577yvcmBmHSSm6YTeeC0T8udbH39ZGQoYgRhiuCouFu+/QYDXqW7vQZ+Ic1rBs2VOKnLQYq7t1JTOjvq5sQkFuCrRBKtmOKAHbdEunsR8Tk6IUO5sGS4SMqb/f6V2itC3aVmTI4cxBVloYa3sOwvVZkJsiuiDvL66SjWQ5E4VDbVOvNGXA2ERvpOILNq/5yV1T/cJ4LpAZbnNPZ/jL2kjIEEOCv0xJJQbuvjmeR7IqDO8eu+wwMmHiePz6g9PYuma21WbrzsyoBJ3jjhzbdMvxsjrMy0lS7Gyq4Qd+h/r6zfUzESFB+M6s8QgOUqG3zzQwzsDykeN48OCtRIa7DrLSNculjLbsKQUDoMDi3PzDxdlQsQw0QWqra+FIFDqzqZfWDQkDJ70hZtxJGQSa8RwxsiEhQ/gUf5uSSpgRilW1Mt01tgibrXTjt00rCHONHKWyHN3p26Zbdp28ilumJOM9hV1FDe0Daz979ixe3HUKxy7U2QmTWZMScP/NE0UBLQyPXJIRhOlxiTh2sQ5tXb2ICgvGTZMSERsRhPPnzsn+bpo4Dt3XK9FRXwEAOPVVCbqvV4tfC/zXqxW4vjgbeWPH4Hq7EZ+fr0W2XofC8ZGoq+wR1/nm7hYEdU3CkoxQfCshCZ+fr0VOKotDX5zCB5+cEM+FZRncPy8TsydHo76lFi/+rQStXb2ICg3G7KxExEZovTovKj+WBzuGBcf3oqHqMq5XDxyX43ksnqCyOg/b6104XoWvv/7arfXQDU/gEhoairFjxw7LezO88D96hNLW1oaoqCi0trYiMjJyuJczqhA2y827SmXn34ihcfpj5VWUbgYcz4PjeLx9tBxvHi5zekwVy2DbQ7ORkRiFrt5+sIBVxCMkWO10ExUeEwY2Cnf6d84cj7buPqzedlD8/fjHT5Zi294z2PtlheyxpDT/83/xr4O7XD6PIAjfcvPNN+PTTz/16jGV7t8UkSF8hj9OSR3JuBv9YhkGDAvFxmbJ0WEAgPbuPrvjhwQ7/1PirDgwJNg63dLhor1bij59LP6l6JkEQYxUSMgQPsFfp6SOVNwZ+Ce9zjygyFX2V/fNgCaIHXThqVxxoG3qyVV7t3gsAL/62TMwpMXg0xOluFRr33rNMAxyUqOREhOGrp5+1DR3oqePgyaIRUpMmMtIkiOEQPbXlc2oaepETlqMpd3Y/PWUtBjowjQ4eu6a7DnoQoMxY2ICzlQ0obqp0+7xBVNScPV6u3hOBhfHk16TudlJ0AapAur/k6PrIJASE4YpFtNEwj/JysoatvcmIUP4BH+dkjpS8TT6xTIMOM55t8r9N0/ElLRYn80msi0y/fJSA5JjwhQVk2amJ+HZn/0MMQ5SURuX5+IWQwq27janN0MACOWnzQCmDSK9KU2X7S+uxNRxY5CdGoO6li5EhQZjx7HLaJZJ2WWl6PCj2/OhYhms/t2nkHNZWX1bHrL10Vjz4j/BA9jxZCE+OHFF9ni2FM3PNP9/CgATOuGGZ/W2g7LXQYAB8PwTC+iGh5CFhAzhE/x1SupIZLDRL5ZlwPOOu1XiIrXiSANPjq8EaeqpMF/vUlxJu4ocudI66/wBvDMcUljzyjnmdJmJ4xAXFQIG9u7BUl+YPhOHd5w4Htu2ZfvzROTBQDc8hDcgIUP4BH+dkjoS8cZm4KyGZSg3G2nqyZm4snUqlnOllZttJIdUgAFwu2tGLl1m4ji733+pL8yGFblOhYltW7arsRBSAun/E93wEN6AhAzhE/x1SupIQK4ryVubgdymLIw08Mbx3UGpe6gjXxO52UaA/PwmnuesuqoGaxNg+/svN4rBlTCRevV09fZjkZ9Omx4MdMNDeAMSMoRPINMs7+OoK2nlnAyfbgbDvdkocQ+V86qxTcfYWv4L85uKpqZhbHyEVx10bX//baNDx8vqXHaLmTgeL+wqwfSMOOjCNAhVUJQdaP+f6IaH8AYkZAif4Y9TUgMVZ11JQteRrzaDQNhs5Fxpe2zmPMlZ/mel6JCRFOWTOhrp7780OqRiGURogxR1iy3K0yMmXGt3vJHy/4lueAhvQEKG8Bn+OCU1UHHWleRqiKOAp5tBoGw2tqko6UygSQ4Kf5XW0VRe70B3bz+C1azi+hnp7z8vmSC+rsiAqRPiUHq10em8KlthEoj/n5SYM45EgUYMLSRkCJ/ib1NSAxFXXUlKhjgOdjOQbjaV1zuwzKbGpOJ6O7JSdH6x2UhTUYIAyx8XKytYHNXRCEjTUbUtXdhfXOVW/YztxHFprczBM9VYV2SQnVdVkKtHoi7U7ti+/P/kzfEA7pgzBqJAI/wLGlFAEH6OieOw/YjzMQLSDdd2DIB0+jM/iI2K53nwMG88tc1d2F/i3qY+HAjn3NvP4d1jl+2u4Uc/WYrfyXjQCAXBcycnQa1iBj1mQxCjpVcbrfxhAGBSsvm9Zk4cEIZfXKzDtAljEB2m8fn1FH4XvFXoPJjRJN4QUzSvaeRAIwoIYoSgpCtJGOLY3NmD79w0wepunbHMfW4Y5OBOHvDIPXg4Ee72HQ3HtG1rlgrChtZuaIJUXqmfEdJzkVmJdtPGL9S04MKHLXavuU8wtvPhtfTUEdoZgxlNoqSw29m50IDa0QkJGYLwc9zpGuozceB5XnR1ZWARHzsHv1EF6uwshmFkfV0A2I1DkBYE54+LRbY+2mtGgJzCaeMCQ+Gb4u2f6XCNJvGFICMCB//3sCaIUY7QNeTqz69c1xDLmNMi+23+uAMDG9WW3aUu/7jzPK/Y3be+tRv+lrF2dA13nbwqjkMQ6le27jZfrxmZCThQWq3YCJBzcc5ChMzdVnZf4Yufqbvmid46P2/9nhOBybAKmcOHD2P58uVITk4GwzD44IMPrB7neR4//elPkZSUhJCQEBQUFKCszPWsEYIYSUi7hpwhdA0Jf6y9uVEN1wblLRxdQ2mh9MOLJlsVBPtiLMBgRKm78DwPE8dZfZTii5/pcDj1BrrIJgbPsAqZzs5O5OXl4cUXX5R9/Ne//jW2bduGP/7xjzh+/DjCwsKwePFiGI3GIV4pQQwvQtdQYZ7ebhM0b3oDXUnS13hroxrMBuVqQx0qHF3DLXtK8WlpNbJSdFYRGE/GArjCmSjNStHhqdvy8O6Thdj7k6WIjVD23rYI66hvM2L7kXJs23sG24+Uo6HN/HdTuP6+EB3DEXEKdJFNDJ5hrZFZsmQJlixZIvsYz/PYsmULfvKTn+C2224DALz++utISEjABx98gHvuuWcol0oQw4onLare3Kg82aAYyxr8pfjS2TXMHzfG7nrZ1s84wt3oia1vCuvAcdiTa+VOrYgvHJuHwzyR5jURflvse+XKFdTW1qKgoED8XlRUFGbMmIFjx445FDI9PT3o6Rn4pW5ra/P5WgliKHDXQ8SbG5W7GxQDxi+LL10Nx5ReL18ZDdoKqvauXq+NSHCneNfRsE1b3BEdw2GeONwjNIjhx2+LfWtrawEACQkJVt9PSEgQH5PjueeeQ1RUlPgvNTXVp+skiKGGYRioWNbqoxzerMdwt06HZf27+FLuGtpeL2n9jDspPaXvD5gFVUZSFLbsHvqCbAAe1V65wpM06GAYyrojwj/x24iMpzzzzDPYsGGD+HVbWxuJGWJU4u27Y6VW8hzPo2EYWnAHi9z1kk6gtnXf9ZbrrFLx4epauVsrsnJOBhjA6+MBhtqpN1BGaBC+w2+FTGJiIgCgrq4OSUlJ4vfr6uqQn5/v8HUajQYajWdFcgQx0vDmHBulG5QnG6q/hPptr5dgNLj7VAWWT0/HXbPGQxuk8tpYAG9eK09qRRgfiY6hHk1C85pGN34rZMaNG4fExEQcOHBAFC5tbW04fvw4fvjDHw7v4ggiQPD23bGSDYoF/Kb40l27emfXK29sLEKC1VaGg4NluAuyBVFk4jjE+UB0DMap1x2kP7cf3poDFkBwkAq9fSbwgPhzIxEzMhlWIdPR0YHy8nLx6ytXruD06dOIiYlBWloa1q1bh//+7/9GZmYmxo0bh//8z/9EcnIybr/99uFbNEEEGL64O3a2QflD8eVg7OqHMpow3AXZAJxeo0CCh/nc2rv77M4nJNhv79kJLzCsP92TJ0/illtuEb8WaltWr16N1157Df/+7/+Ozs5OPPzww2hpacGcOXPwj3/8A1qtdriWTBABy1DeHQ9VC65cxMVbM6GG4np581q5UysyJlLr8egKfxzKSCMKRjc0/ZogCJ/gaNiiQGGe3uO5TBzHg2XtJzYXTUtDTLjWp+/tiMFs8LbrFaZvz8g0T8Tu6TNBG6RyeTxhQ9+yu9RprYiKZd2+Rt6eku1thuNnPhj8URD6GzT9miCIYcNXxZeCKyvH83hBJpqQFB2KnNSYIe2YGuzUZem1OlhajbWDMMdTUhPFudGmLVwjf558PlyDKj2FpnR7H4rIEAThE4Q/yMId/GC7YYRog7NowrtPFuKDE1fw5mHXM9num59p7gIaROGusKbNu0rtNngGGNjgXdxtC9eiq6cfwWoWW3YP7njCMeXu+E0ch+1Hyt2+RsMV8XAVufD0fIYDb/2+jBYoIkMQxLDi7aJZlmHwdWUzosM1Du++fTHo0dWalDrpOkO4FqEatUPB4M7xhGPK1fi42ykliNGhjngojVwE0ogCb/2+ENb4rbMvQRAjA6VOxM4QXGvT4iKsBjva4otBj67W5K2py0M1xdndTil+GIYyisW7O4uxettBvHm4DHu/rMCbh8tw/7aD2LSzWHzOcAyq9ASa0u07SMgQBOH3CMZxriIuwqDHobCr9/bU5aGa4uyJpf9QRzxYRvmIi0AZUUBTun0HCRmCIPweYTN1FXHZdfIqkmPCvD4/yNmalKBkg/eVYOB5HiaOEz8C7s1YGuqIh7/MjPI2gZQCCzRIyBAE4fcIm6mriIsvBz06WpMSlGzwvjgeYDa8236kHNv2nsH2I+VoaDO6NdhxqCMenkQuvD2o0lb8eSPNEygpsECEin0JgvB7hM30ub9/iYJcvUPTt6wUHVSseSvz9dBCbxv/efN4rgzihI1d6TXy5VBGua6kwc6M+vJSA8bGR2BcfAQ0ltlYjIJOIF+2Rg+lUeRog4QMQRB+j+Baq48NFyMuUo8aFctgncV/5VpzF945Wo4gNYtvTYiztNt6f8yAt6cue/N4rrpjPrZct40r8hR1lfnCF8iRaFg5J8OjsQ3C+8ZFaLFkahrqWrux49hlxWLE1+7ANKXbd5CPDEEQAYGw0WzbU4qc1BjRNO5AaTWmjR+Dick6r/iveLImV066SnxkOJ4HAwY8Bnc8wSBu9baDLu/8X39igeJ2aW/6AjnzU3nqtjzkpMbgwd9/6vb6B+vT4muvHG/9vvgKf3MbVrp/k5AhCCJgkG6mX15qQHpcOCYkRkIT5Nh/RcCXhm2ebvC2tv8tnT1YckMaMpKiPBYMvjaI89Zm5+jnlZWiw9Y1sz3+eXryOl+JPzm8bRTpDfx1/AQZ4hEEMeKQmuwV5uvNlvweWO5784+yp8Z/jlIZu09VICtZh+8vmuyRkaCvu2MGO0zT1UgBacG2O6mswYwqcLfAeOWcDI8HiQ7ldHUljISBmyRkCIIIOKSb6VBuQkrXpOT4zupYzte0YONfjonRA3fW60l3jC+nodui5Oe1ZU8pAPcKtgfzezAcrdFDNY3eFSPBbZjarwmCCGgC0Z/Dly6v/m4Qp+TnZeJ4/HZXCf76WTniLJGLx5dOwco5GYiL1AKwjw4M5vdgtLZGjxS3YRIyBEEENIG4CfnS5VXaHeOM4TKIc+fn1WfixEGhwogLALIeL4P5PfB38ecrRorbMAkZgiACmkDchHwdRfK2QZw38fTn5czgDzALOE9/D/xd/PmKQIxmykE1MgRBBDSB6M/h6zoW1sYgzl+6YwDPfl5KC1IH83vgC68cf8ff66mUQkKGIIiAJ9A2oaFwefW37hgp7v68lBakrl+e6/HvgT+LP18xUtyGyUeGIIgRgT/6c7hiuLxv/AGlPy93PV7GRGqtPFE8+T3wN2M4X+Ovv4dkiGeBhAxBjC4CZRPyV5fXob5+rt7PU4O/QPk9GG789fcQIEM8giBGKf7iz+EKf0tl+HJgojNc/bw8LUgNlN+D4cbffg89gYQMQRDEMOEvdSz+7O46UgpS/Rl/+T30FGq/JgiCGGYEjxTpx6GEZRhs3lWK/TYiBhgopt2yu3RYNrRAbK8PVIb799BTSMgQBEGMYvzd3XW0erwQyiEhQxAE4WWkrrNS91l/JBDcXd0x+Auka094B6qRIQiC8BLDVTA7GALB3VVJQSrHWbdzB8K1J7wDCRmCIAgv4M8Fs84IlGJaZwWpHM+DB49NOwPr2hPegVJLBEEQXsCfC2adEWjFtHIFqYF67QnvQEKGIAhikPh7wawzAr2YNpCvPeEdSMgQBEEMkkAomHWGP0/LdkWgX3ti8FCNDEEQxCAJhIJZZwSyu2ugX3ti8JCQIQiCGCSBUjDrjEB1dx0J154YHJRaIgiCGCSBVjDrjEBzdx1J157wDBIyBEEQgyTQC2YDGbr2BAkZgiAILxDIBbOBDl370Q3Dj/CfbFtbG6KiotDa2orIyMjhXg5BECMYoSBWcJcNlILZkQBd+5GH0v2bhAxBEISX4XneynWWZRjaRIcIuvYjB6X7N3UtEQRBeBmGYcTOGOqQGVro2o8+qEaGIAiCIIiAhYQMQRAEQRABCwkZgiAIgiACFhIyBEEQBEEELCRkCIIgCIIIWEjIEARBEAQRsJCQIQiCIAgiYCEhQxAEQRBEwDLiDfEE4+K2trZhXglBEARBEEoR9m1XAwhGvJBpb28HAKSmpg7zSgiCIAiCcJf29nZERUU5fHzEz1riOA4XLlxAdnY2KisrR9W8pba2NqSmptJ5jyJG67nTedN5jwZG23nzPI/29nYkJyeDZR1Xwoz4iAzLskhJSQEAREZGjoofvi103qOP0XrudN6jCzrvkY+zSIwAFfsSBEEQBBGwkJAhCIIgCCJgGRVCRqPR4Gc/+xk0Gs1wL2VIofMeXecNjN5zp/Om8x4NjNbzdsWIL/YlCIIgCGLkMioiMgRBEARBjExIyBAEQRAEEbCQkCEIgiAIImAhIUMQBEEQRMAy4oXMiy++iLFjx0Kr1WLGjBk4ceLEcC/J5zz77LNgGMbqX1ZW1nAvy+scPnwYy/9/e3ceFNWV9gH41+xLszSLNCCbbBEEjIqIJMAIBpyKAZeIJiGQEB0ES1ExcVKj4pJgMFEJajQOkeg4qLigYmJc6ShBBxAC0oigKFpBiYooIGu/3x8U97OlWaJAS3ueqlvlvefcc99z3tY+fe9pe/JkmJmZgcfjIT09XaqciLB8+XKYmppCU1MT/v7+KCsrk0+wfainfoeHh3fKf2BgoHyC7UPx8fFwd3eHjo4OhgwZguDgYJSWlkrVaWxsRHR0NAwNDcHn8zFt2jTcvXtXThH3jd7029fXt1POIyMj5RRx3/nuu+/g6urK/Qdwnp6e+Pnnn7lyRcw30HO/FTXfz0uhJzJ79+7FokWLsGLFCly6dAlubm4ICAhAdXW1vEPrd87OzqiqquK28+fPyzukPldfXw83Nzds3rxZZnlCQgK+/fZbbN26FRcvXoS2tjYCAgLQ2Ng4wJH2rZ76DQCBgYFS+U9NTR3ACPuHSCRCdHQ0Lly4gJMnT6KlpQVvvfUW6uvruToLFy7E0aNHkZaWBpFIhD/++ANTp06VY9Qvrjf9BoDZs2dL5TwhIUFOEfedoUOHYu3atcjLy0Nubi4mTJiAoKAgFBcXA1DMfAM99xtQzHw/N1JgY8eOpejoaG6/ra2NzMzMKD4+Xo5R9b8VK1aQm5ubvMMYUADo0KFD3L5EIiGhUEjr1q3jjj18+JDU1dUpNTVVDhH2j2f7TUQUFhZGQUFBcolnIFVXVxMAEolERNSeX1VVVUpLS+PqlJSUEADKzs6WV5h97tl+ExH5+PjQggUL5BfUABIIBPTvf//7lcl3h45+E71a+e4Nhb0j09zcjLy8PPj7+3PHlJSU4O/vj+zsbDlGNjDKyspgZmaGYcOG4f3330dlZaW8QxpQFRUVuHPnjlT+9fT04OHh8UrkPzMzE0OGDIGjoyPmzp2L+/fvyzukPldbWwsAMDAwAADk5eWhpaVFKuevvfYaLC0tFSrnz/a7w+7du2FkZIQRI0bgn//8JxoaGuQRXr9pa2vDnj17UF9fD09Pz1cm38/2u4Oi5/uvUNgfjbx37x7a2tpgYmIiddzExARXrlyRU1QDw8PDAykpKXB0dERVVRVWrlyJN998E5cvX4aOjo68wxsQd+7cAQCZ+e8oU1SBgYGYOnUqbGxscO3aNXz++eeYNGkSsrOzoaysLO/w+oREIkFMTAy8vLwwYsQIAO05V1NTg76+vlRdRcq5rH4DwHvvvQcrKyuYmZmhsLAQn332GUpLS3Hw4EE5Rts3ioqK4OnpicbGRvD5fBw6dAhOTk4oKChQ6Hx31W9AsfP9PBR2IvMqmzRpEvdnV1dXeHh4wMrKCvv27UNERIQcI2MGwsyZM7k/u7i4wNXVFba2tsjMzISfn58cI+s70dHRuHz5skKu/epOV/2eM2cO92cXFxeYmprCz88P165dg62t7UCH2accHR1RUFCA2tpa7N+/H2FhYRCJRPIOq9911W8nJyeFzvfzUNhHS0ZGRlBWVu60gv3u3bsQCoVyiko+9PX14eDggPLycnmHMmA6cszyDwwbNgxGRkYKk/958+YhIyMDZ8+exdChQ7njQqEQzc3NePjwoVR9Rcl5V/2WxcPDAwAUIudqamqws7PD6NGjER8fDzc3NyQmJip8vrvqtyyKlO/nobATGTU1NYwePRqnT5/mjkkkEpw+fVrqOeOroK6uDteuXYOpqam8QxkwNjY2EAqFUvl/9OgRLl68+Mrl//bt27h///6gzz8RYd68eTh06BDOnDkDGxsbqfLRo0dDVVVVKuelpaWorKwc1Dnvqd+yFBQUAMCgz7ksEokETU1NCpvvrnT0WxZFznevyHu1cX/as2cPqaurU0pKConFYpozZw7p6+vTnTt35B1av1q8eDFlZmZSRUUFZWVlkb+/PxkZGVF1dbW8Q+tTjx8/pvz8fMrPzycAtH79esrPz6ebN28SEdHatWtJX1+fDh8+TIWFhRQUFEQ2Njb05MkTOUf+Yrrr9+PHjyk2Npays7OpoqKCTp06RaNGjSJ7e3tqbGyUd+gvZO7cuaSnp0eZmZlUVVXFbQ0NDVydyMhIsrS0pDNnzlBubi55enqSp6enHKN+cT31u7y8nFatWkW5ublUUVFBhw8fpmHDhpG3t7ecI39xS5cuJZFIRBUVFVRYWEhLly4lHo9HJ06cICLFzDdR9/1W5Hw/L4WeyBARJSUlkaWlJampqdHYsWPpwoUL8g6p34WEhJCpqSmpqamRubk5hYSEUHl5ubzD6nNnz54lAJ22sLAwImr/CvayZcvIxMSE1NXVyc/Pj0pLS+UbdB/ort8NDQ301ltvkbGxMamqqpKVlRXNnj1bISbvsvoMgHbs2MHVefLkCUVFRZFAICAtLS2aMmUKVVVVyS/oPtBTvysrK8nb25sMDAxIXV2d7OzsaMmSJVRbWyvfwPvAxx9/TFZWVqSmpkbGxsbk5+fHTWKIFDPfRN33W5Hz/bx4REQDd/+HYRiGYRim7yjsGhmGYRiGYRQfm8gwDMMwDDNosYkMwzAMwzCDFpvIMAzDMAwzaLGJDMMwDMMwgxabyDAMwzAMM2ixiQzDMAzDMIMWm8gwDMMwDDNosYkMo5AyMzPB4/E6/aAcM/DS09NhZ2cHZWVlxMTE9Pq8uLg4jBw5st/iehlYW1tj48aNL0073UlJSQGPxwOPx/tLeXwZdMStr68v71CYfsAmMsxLZ/fu3bCwsIBAIMCiRYukym7cuAEHBwc8evRITtENLF9f3+d60wgPD0dwcHCfx/M8/vGPf2D69Om4desWVq9eLbMOj8dDenr6wAY2CKWkpMh8M87JycGcOXP6/fq6urqoqqqSymNPr1GRSIQJEybAwMAAWlpasLe3R1hYGJqbmxEeHs5NMmRt1tbWXDvx8fFQVlbGunXruGPW1tbdnh8eHg4AqKqq6veJHiM/bCLDvFTu3buHTz75BF9//TVOnDiB//znP8jIyODKo6KisHbtWujq6soxyufT0tIi7xAGXF1dHaqrqxEQEAAzMzPo6OjIOySFZGxsDC0trX6/Do/Hg1Ao7HUexWIxAgMDMWbMGPz6668oKipCUlIS1NTU0NbWhsTERFRVVXEbAOzYsYPbz8nJ4dr64Ycf8Omnn+KHH37gjuXk5HB1Dxw4AKD9F7A7jiUmJgIAhEIh9PT0+moYmJcMm8gwL5Xr169DT08PISEhcHd3x9/+9jeUlJQAAFJTU6GqqoqpU6c+V9sHDhyAs7Mz1NXVYW1tjW+++YYr27RpE0aMGMHtp6eng8fjYevWrdwxf39//Otf/+L2Dx8+jFGjRkFDQwPDhg3DypUr0draypXzeDx89913eOedd6CtrY0vvvhCZlxbtmyBvb09NDQ0YGJigunTpwNov6siEomQmJjIfcK8ceMG2traEBERARsbG2hqasLR0ZH7BxtofyTz448/4vDhw9x5mZmZMh+3FRQUcO0CwM2bNzF58mQIBAJoa2vD2dkZP/30U5djWlNTgw8//BACgQBaWlqYNGkSysrKALQ/3ut4w5swYQIXx7M6PnVPmTKl06dwANi1axesra2hp6eHmTNn4vHjx1yZRCJBfHw8NxZubm7Yv39/l/F2XG/16tWYNWsWtLW1YW5ujs2bN0vVqaysRFBQEPh8PnR1dTFjxgzcvXtXaoxHjhyJbdu2wcLCAlpaWpgxYwZqa2u5OrLuVAQHB3N3CWRZv349XFxcoK2tDQsLC0RFRaGurg5A+3h+9NFHqK2t5fIaFxfH9enpOw69jb+7se0LJ06cgFAoREJCAkaMGAFbW1sEBgZi+/bt0NTUhJ6eHoRCIbcBgL6+PrdvbGwMoP2uzpMnT7Bq1So8evQIv/32G4D2CVxHXQMDAwDAkCFDuGNs8vJqYBMZ5qVib2+PhoYG5Ofn48GDB8jJyYGrqytqamqwbNkybNq06bnazcvLw4wZMzBz5kwUFRUhLi4Oy5YtQ0pKCgDAx8cHYrEYf/75J4D2fziNjIy4N96WlhZkZ2fD19cXAHDu3Dl8+OGHWLBgAcRiMbZt24aUlJROk5W4uDhMmTIFRUVF+PjjjzvFlZubi/nz52PVqlUoLS3F8ePH4e3tDQBITEyEp6cnZs+ezX3CtLCwgEQiwdChQ5GWlgaxWIzly5fj888/x759+wAAsbGxmDFjBgIDA7nzxo8f36txio6ORlNTE/fp+auvvgKfz++yfnh4OHJzc3HkyBFkZ2eDiPD3v/8dLS0tGD9+PEpLSwG0TyK7iqPjU3fHJ/GnP4Vfu3YN6enpyMjIQEZGBkQiEdauXcuVx8fHY+fOndi6dSuKi4uxcOFCfPDBBxCJRN32c926dXBzc0N+fj6WLl2KBQsW4OTJkwDaJ0dBQUF48OABRCIRTp48ievXryMkJESqjfLycuzbtw9Hjx7F8ePHkZ+fj6ioqB5GuHtKSkr49ttvUVxcjB9//BFnzpzBp59+CgAYP348Nm7cyD3eqaqqQmxsbKc2eht/T2PbF4RCIaqqqvDrr7++UDvJycmYNWsWVFVVMWvWLCQnJ/dRhIxCkPOvbzNMJwcPHqQRI0aQra0trVixgojaf9Z+w4YNJBKJaOTIkeTs7ExpaWldtnH27FkCQDU1NURE9N5779HEiROl6ixZsoScnJyIiEgikZChoSHX5siRIyk+Pp6EQiEREZ0/f55UVVWpvr6eiIj8/Pzoyy+/lGpv165dZGpqyu0DoJiYmG77euDAAdLV1aVHjx7JLPfx8aEFCxZ02wYRUXR0NE2bNo3bDwsLo6CgIKk6z44JEVF+fj4BoIqKCiIicnFxobi4uB6vR0R09epVAkBZWVncsXv37pGmpibt27ePiIhqamoIAJ09e7bbtgDQoUOHpI6tWLGCtLS0pMZmyZIl5OHhQUREjY2NpKWlRb/99pvUeRERETRr1qwur2VlZUWBgYFSx0JCQmjSpElERHTixAlSVlamyspKrry4uJgA0P/+9z8uNmVlZbp9+zZX5+effyYlJSWqqqoiItm5CwoKorCwMKlYNmzY0GWsaWlpZGhoyO3v2LGD9PT0ZPapo53ext/d2MrS1bW7e422trZSeHg4ASChUEjBwcGUlJREtbW1MuvLeh3U1taSpqYmFRQUEFH7a5bP59Pjx4+l6sl6ffcmfmbwY3dkmJdOxx2M8vJyxMXFQSQSobCwEHPmzMHMmTOxceNGHDhwABEREaiuru5VmyUlJfDy8pI65uXlhbKyMrS1tYHH48Hb2xuZmZl4+PAhxGIxoqKi0NTUhCtXrkAkEsHd3Z1bh/D7779j1apV4PP53NZx56ShoYG7xpgxY7qNa+LEibCyssKwYcMQGhqK3bt3S53flc2bN2P06NEwNjYGn8/H999/j8rKyl6NRXfmz5+PNWvWwMvLCytWrEBhYWGXdUtKSqCiogIPDw/umKGhIRwdHbnHgS/K2tpaaj2Gqakpl/Py8nI0NDRg4sSJUnnYuXMnrl271m27np6enfY7Yi4pKYGFhQUsLCy4cicnJ+jr60v1y9LSEubm5lJtSCQS7i7U8zh16hT8/Pxgbm4OHR0dhIaG4v79+716TXTobfzdjW1fUVZWxo4dO3D79m0kJCTA3NwcX375JZydnbk1MT1JTU2Fra0t3NzcAAAjR46ElZUV9u7d26exMoMXm8gwL7WmpiZERUVh27ZtKC8vR2trK3x8fODo6AgHBwdcvHixz67l6+uLzMxMnDt3Dq+//jp0dXW5yY1IJIKPjw9Xt66uDitXrkRBQQG3FRUVoaysDBoaGlw9bW3tbq+po6ODS5cuITU1Faampli+fDnc3Ny6/dr4nj17EBsbi4iICJw4cQIFBQX46KOP0Nzc3O21lJTa/7oTEXfs2QXIn3zyCa5fv47Q0FAUFRVhzJgxSEpK6rbd/qSqqiq1z+PxIJFIAIBbO3Ls2DGpPIjF4h7XyQwEJSUlqbEGul/wfePGDbz99ttwdXXFgQMHkJeXx63d6Sm3z6O7se1r5ubmCA0NxaZNm1BcXIzGxkap9WfdSU5ORnFxMVRUVLhNLBZLLfplXm1sIsO81NasWYPAwECMGjUKbW1tUotpW1pa0NbW1qt2hg8fjqysLKljWVlZcHBwgLKyMoD/XyeTlpbGrYXx9fXFqVOnkJWVxR0DgFGjRqG0tBR2dnadto4JQ2+pqKjA398fCQkJKCwsxI0bN3DmzBkA4L7d8Wzc48ePR1RUFF5//XXY2dl1ugMh67yOhZNPfxIuKCjoFI+FhQUiIyNx8OBBLF68GNu3b5cZ9/Dhw9Ha2io1mbx//z5KS0vh5OTU+wFA+5tqb3PZwcnJCerq6qisrOyUg6fvRshy4cKFTvvDhw8H0N6vW7du4datW1y5WCzGw4cPpfpVWVmJP/74Q6oNJSUlODo6Amgf76fHuq2tDZcvX+4ypry8PEgkEnzzzTcYN24cHBwcpNoHZOf1Wb2NX14EAgFMTU1RX1/fY92ioiLk5uYiMzNTarKamZmJ7OxsXLlyZQAiZl52KvIOgGG6IhaLsXfvXuTn5wMAXnvtNSgpKSE5ORlCoRBXrlyBu7t7r9pavHgx3N3dsXr1aoSEhCA7OxubNm3Cli1buDqurq4QCAT473//y33l29fXF7GxseDxeFKPppYvX463334blpaWmD59OpSUlPD777/j8uXLWLNmTa/7mJGRgevXr8Pb2xsCgQA//fQTJBIJ92ZobW2Nixcv4saNG+Dz+TAwMIC9vT127tyJX375BTY2Nti1axdycnJgY2PDtWttbY1ffvkFpaWlMDQ0hJ6eHvcGHxcXhy+++AJXr16V+uYWAMTExGDSpElwcHBATU0Nzp49y73BP8ve3h5BQUGYPXs2tm3bBh0dHSxduhTm5uYICgrq9Rh0xHv69Gl4eXlBXV0dAoGgx3N0dHQQGxuLhQsXQiKR4I033kBtbS2ysrKgq6uLsLCwLs/NyspCQkICgoODcfLkSaSlpeHYsWMA2r+d5uLigvfffx8bN25Ea2sroqKi4OPjI/WoUENDA2FhYfj666/x6NEjzJ8/HzNmzOC+fTNhwgQsWrQIx44dg62tLdavX9/tnTY7Ozu0tLQgKSkJkydPRlZWVqe7FtbW1qirq8Pp06fh5uYGLS2tTl+77m38fenPP//sNCk2NTVFeno6CgoKMGXKFNja2qKxsRE7d+5EcXFxr+70JScnY+zYsdwC+Ke5u7sjOTlZ6v+VYV5R8l6kwzCySCQS8vLyoqNHj0odP3r0KFlaWpKJiQlt3769y/NlLfzbv38/OTk5kaqqKllaWtK6des6nRcUFEQqKircQsK2tjYSCAQ0bty4TnWPHz9O48ePJ01NTdLV1aWxY8fS999/z5VDxsLFZ507d458fHxIIBCQpqYmubq60t69e7ny0tJSGjduHGlqanKLchsbGyk8PJz09PRIX1+f5s6dS0uXLiU3NzfuvOrqapo4cSLx+Xypxbbnz58nFxcX0tDQoDfffJPS0tKkFvvOmzePbG1tSV1dnYyNjSk0NJTu3bvXZfwPHjyg0NBQ0tPTI01NTQoICKCrV69y5b1d7HvkyBGys7MjFRUVsrKyIqL2BalP94mIaMOGDVw5UfvrZOPGjeTo6EiqqqpkbGxMAQEBJBKJuryWlZUVrVy5kt59913S0tIioVBIiYmJUnVu3rxJ77zzDmlra5OOjg69++67dOfOHa68I7YtW7aQmZkZaWho0PTp0+nBgwdcnebmZpo7dy4ZGBjQkCFDKD4+vsfFvuvXrydTU1NuLHfu3NnpdRwZGUmGhoYEgFsM/2w7vY2/u7F9VneLfQF02lavXk2XLl2iDz74gGxsbEhdXZ0MDQ3J29ubjhw5IvMaT/+daWpqIkNDQ0pISJBZ96uvvqIhQ4ZQc3MzEbHFvq8yHtEzD3EZhmEUmLW1NWJiYl7ov9mPi4vj7ja8KlJSUhATEzNof/ZjsMfPdI2tkWEYhmF6pba2Fnw+H5999pm8Q/lL+Hw+IiMj5R0G00/YGhmGYRimR9OmTcMbb7wBAIPuxxc77px1LOxnFAt7tMQwDMMwzKDFHi0xDMMwDDNosYkMwzAMwzCDFpvIMAzDMAwzaLGJDMMwDMMwgxabyDAMwzAMM2ixiQzDMAzDMIMWm8gwDMMwDDNosYkMwzAMwzCD1v8BR0Mc2gWCAY4AAAAASUVORK5CYII=\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": "46ed99e7-8fc0-4998-d29d-3b0ae3c362d0" }, "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": "db3dd527-c257-496e-c85a-9db516ec6f68" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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bWxsAP/zhD1m9erX388477/DKK68AcMQRR7B582a+8Y1vEIlEuPDCC7nggguGfSyPP/44ixcv5oorruAvf/kLq1ev5vLLLycej/d7vZUrV/L5z3+eM844g2eeeYZVq1bx1a9+da/XE0IIITKVZOwOUMXFxZSWlrJp0yY+//nP93m5vLw8LrroIi666CIuuOACTjvtNHbu3ElhYSE+nw/Lsvq9nzlz5vDTn/6UaDTqZe1SgWPKv//9bz784Q/z3//9395pGzduTLuM3+/vcV8vv/wylZWVfPWrX/VO27JlS/8PXAghhMhgkrE7gN1xxx0sX76cBx98kHXr1rFmzRoeffRR7rvvPgDuu+8+fvnLX/LBBx+wbt06fv3rX1NSUkJBQQHgrml74YUXaGxsZNeuXb3ex8UXX4xSiquuuor33nuPP/3pT6xYsSLtMjNnzuT111/nz3/+M+vWrePWW2/lP//5T9plqqqqePvtt1m7di07duwgkUgwc+ZMampqePzxx9m4cSMPPvggv/3tb4f/iRJCCCHGCQnsDmBXXnklP/rRj3j00UeZO3cuH/vYx3jssceYOnUq4Fac3nPPPRx11FEcffTRVFdX86c//QlNc9823/72t3n++ecJh8Mcfvjhvd5HTk4Of/jDH1izZg2HH344X/3qV7n77rvTLvPFL36R8847j4suuohjjz2W5ubmtOwdwFVXXcXs2bM56qijmDRpEv/+97/59Kc/zcKFC7nmmmuYP38+L7/8Mrfeeut+eKaEEEKI8UE5juOM9iDGktbWVvLz82lpaUlbhB+NRtm8eTNTp05NKwQYjA6rY69VsVl61pDHLsaW4XjPCCGEyGx9xR1DJWvsRpBP+Vhcvrjf84UQQgghhkoCuxHk03wj2qdOCCGEEAcWWWMnhBBCCJEhJLATQgghhMgQEtgJIYQQQmQICewGSYqIxUDJe0UIIcRIk8BugHw+t+iho6NjlEcixovU1ma6ro/ySIQQQhwopCp2gHRdp6CggG3btgGQlZWFUmqURyXGKtu22b59O1lZWRiG/JkJIYQYGXLEGYSSkhIAL7gToj+aplFRUSFfAIQQQowYCewGQSnFlClTmDx5MolEYrSHI8Y4v9/vbb8mhBBCjAQJ7IZA13VZNyWEEEKIMUfSCUIIIYQQGUICOyGEEEKIDCGBnRBCCCFEhpDATgghhBAiQ0hgJ4QQQgiRISSwE0IIIYTIEBLYCSGEEEJkCAnshBBCCCEyxLgK7P75z39y1llnUVpailKKp59+Ou38yy67DKVU2s9pp502OoMVQgghhBhh4yqwa29vZ968eTz88MN9Xua0005j69at3s8vf/nLERyhEEIIIcToGVdbip1++umcfvrp/V4mEAhQUlIyQiMSQgghhBg7xlXGbiD+8Y9/MHnyZGbPns2Xv/xlmpubR3tIQgghhBAjYlxl7PbmtNNO47zzzmPq1Kls3LiRW265hdNPP52VK1ei63qv14nFYsRiMe/31tbWkRquEEIIIcSwyqjA7rOf/az377lz53LYYYcxffp0/vGPf/CJT3yi1+ssX76cO+64Y6SGKIQQQgix32TcVGxX06ZNY+LEiWzYsKHPy9x88820tLR4P7W1tSM4QiGEEEKI4ZNRGbvu6urqaG5uZsqUKX1eJhAIEAgERnBUQgghhBD7x7gK7Nra2tKyb5s3b2b16tUUFhZSWFjIHXfcwfnnn09JSQkbN25k6dKlzJgxg1NPPXUURy2EEEIIMTLGVWD3+uuvc9JJJ3m/L1q0CIAFCxbwve99j7fffpsf//jH7N69m9LSUk455RS+8Y1vSEZOCCGEEAcE5TiOM9qDGEtaW1vJz8+npaWFvLy80R6OEEIIITLYcMcdGV08IYQQQghxIJHATgghhBAiQ0hgJ4QQQgiRISSwE0IIIYTIEBLYCSGEEEJkCAnshBBCCCEyhAR2QgghhBAZQgI7IYQQQogMIYGdEEIIIUSGkMBOCCGEECJDSGAnhBBCCJEhJLATQgghhMgQEtgJIYQQQmQICeyEEEIIITKEBHZCCCGEEBlCAjshhBBCiAwhgZ0QQgghRIaQwE4IIYQQIkNIYCeEEEIIkSEksBNCCCGEyBAS2AkhhBBCZAgJ7IQQQgghMoQEdkIIIYQQGUICOyGEEEKIDCGBnRBCCCFEhpDATgghhBAiQ0hgJ4QQQgiRISSwE0IIIYTIEBLYCSGEEEJkCAnshBBCCCEyhAR2QgghhBAZQgI7IYQQQogMIYGdEEIIIUSGkMBOCCGEECJDSGAnhBBCCJEhJLATQgghhMgQEtgJIYQQQmQICeyEEEIIITKEBHZCCCGEEBlCAjshhBBCiAwhgZ0QQgghRIaQwE4IIYQQIkNIYCeEEEIIkSEksBNCCCGEyBDGaA9ACCHE6ErYCRJOos/zfcqHT/ON4IiEEEMlgZ0QQhzgEk6CFXUrqI/V9zivLFDG4vLF+JDATojxQAI7IYQQ1MfqqY5Vj/YwhBD7SNbYCSGEEEJkCAnshBBCCCEyhAR2QgghhBAZYlwFdv/85z8566yzKC0tRSnF008/nXa+4zjcdtttTJkyhVAoxMknn8z69etHZ7BCCCGEECNsXAV27e3tzJs3j4cffrjX8++55x4efPBBvv/97/Pqq6+SnZ3NqaeeSjQaHeGRCiHE+FIWKKMqUNXjpyxQNtpDE0IMgnIcxxntQQyFUorf/va3nHPOOYCbrSstLeXGG29k8eLFALS0tFBcXMxjjz3GZz/72QHdbmtrK/n5+bS0tJCXl7e/hi+EEGOG9LETYvQMd9yRMe1ONm/eTGNjIyeffLJ3Wn5+PsceeywrV67sM7CLxWLEYjHv99bW1v0+ViGEGEt8mk/61AmRIcbVVGx/GhsbASguLk47vbi42DuvN8uXLyc/P9/7CYfD+3WcQgghhBD7S8YEdkN1880309LS4v3U1taO9pCEEEIIIYYkYwK7kpISAJqamtJOb2pq8s7rTSAQIC8vL+1HCCGEEGI8ypjAburUqZSUlPDCCy94p7W2tvLqq69y3HHHjeLIhBBCCCFGxrgqnmhra2PDhg3e75s3b2b16tUUFhZSUVHBDTfcwDe/+U1mzpzJ1KlTufXWWyktLfUqZ4UQYrSMl8rT8TJOIUTvxlVg9/rrr3PSSSd5vy9atAiABQsW8Nhjj7F06VLa29u5+uqr2b17N8cffzzPPfccwWBwtIYshBAAJJwEK+pWUB+r73FeWaCMxeWLx0Rl6ngZpxCid+MqsDvxxBPpr+2eUoo777yTO++8cwRHJYQQA1Mfq6c6Vj3aw9ir8TJOIURPGbPGTgghhBDiQCeBnRBCCCFEhpDATgghhBAiQ0hgJ4QQQgiRIcZV8YQQQoxnZYGyQZ0+WsbLOIUQPSmnvzLTA1Brayv5+fm0tLTILhRCiGEzXvrDjZdxCpEphjvukIydEEKMAJ/mGxf938bLOIUQvZM1dkIIIYQQGUICOyGEEEKIDCGBnRBCCCFEhpDATgghhBAiQ0hgJ4QQQgiRISSwE0IIIYTIEBLYCSGEEEJkCAnshBBCCCEyhAR2QgghhBAZQgI7IYQQQogMIYGdEEIIIUSGkMBOCCGEECJDSGAnhBBCCJEhJLATQgghhMgQEtgJIYQQQmQICeyEEEIIITKEBHZCCCGEEBlCAjshhBBCiAwhgZ0QQgghRIaQwE4IIYQQIkNIYCeEEEIIkSEksBNCCCGEyBAS2AkhhBBCZAgJ7IQQQgghMoQEdkIIIYQQGUICOyGEEEKIDCGBnRBCCCFEhjBGewBCCLEvEnaChJPo83yf8uHTfCM4IiGEGD0S2AkhxrWEk2BF3QrqY/U9zisLlLG4fDE+JLATQhwYJLATQox79bF6qmPVoz0MIYQYdcO2xm737t3DdVNCCCGEEGIIhhTY3X333TzxxBPe7xdeeCFFRUWUlZXx1ltvDdvghBBCCCHEwA0psPv+979POBwG4Pnnn+f555/n2Wef5fTTT2fJkiXDOkAhhEhJ2Ak6rA7vJ2JFAHBwcBwHnFEeoBBCjLIhrbFrbGz0ArtnnnmGCy+8kFNOOYWqqiqOPfbYYR2gEEKkdC+UKPWXcm3ZtbRb7bRZbeToOSjUKI9SCCFGz5ACuwkTJlBbW0s4HOa5557jm9/8JgCO42BZ1rAOUAgxOsZqG5HuhRI2NmWBMgCy9ey0wC51uhBCHCiGFNidd955XHzxxcycOZPm5mZOP/10AFatWsWMGTOGdYBCiNExHtqIRGx3KnZpeCkaGkEt2OMyPiWtToQQB44hBXb3338/VVVV1NbWcs8995CTkwPA1q1b+e///u9hHaAQYvSM9TYiTYkmFm1cREgLUeovZWl4KSE9NNrDEkKIUTOkwM7n87F48eIepy9cuHCfBySEEIPRlGjy/u1I9YQQ4gA34MDu97///YBv9NOf/vSQBiOEEEIIIYZuwIHdOeecM6DLKaWkgEIIAeyfAoy+CiKkUGJ8GKtFOUJkigEHdrZt789xCCEy0HAXYPiUj8XlPZeBdD1fjG3joShHiPFM9ooVQvRpOLJjw1mA4dN8ctDPAGO9KEeI8WzIgV17ezsvvvgiNTU1xOPxtPOuu+66fR7YUNx+++3ccccdaafNnj2bDz74YFTGI8R4JtkxIYQYf4YU2K1atYozzjiDjo4O2tvbKSwsZMeOHWRlZTF58uRRC+wADjnkEP761796vxuGJCWFGArJjgkhxPgzpL1iFy5cyFlnncWuXbsIhUK88sorbNmyhSOPPJIVK1YM9xgHxTAMSkpKvJ+JEyeO6niEEEIIIUbKkAK71atXc+ONN6JpGrquE4vFCIfD3HPPPdxyyy3DPcZBWb9+PaWlpUybNo3Pf/7z1NTU9Hv5WCxGa2tr2o8QQgghxHg05AbFmubGhJMnT6ampoY5c+aQn59PbW3tsA5wMI499lgee+wxZs+ezdatW7njjjv46Ec/yjvvvENubm6v11m+fHmPdXlCiOEzntuTSGuO/WM8vyeEGOuU4ziDbtV+yimncNlll3HxxRdz1VVX8fbbb3Pdddfx05/+lF27dvHqq6/uj7EO2u7du6msrOS+++7jiiuu6PUysViMWCzm/d7a2ko4HKalpYW8vLyRGqoQGWm8B0YdVsdeW3Nk6VmjMLLxa7y/J4QYbq2treTn5w9b3DGkjN1dd93Fnj17APif//kfLr30Ur785S8zc+ZMHnnkkX0e1HApKChg1qxZbNiwoc/LBAIBAoHACI5KiAPH/irAGMngQFpzDK/9WZQzXO8LCT7FeDakwO6oo47y/j158mSee+65YRvQcGpra2Pjxo1ccskloz0UIcQwkia348tIBUrD9b6Q95cYzzKqF8jixYs566yzqKyspKGhga9//evous7nPve50R6aEGKYSSZt/BjJQGm43hfy/hLj1ZACu6lTp6KU6vP8TZs2DXlA+6Kuro7Pfe5zNDc3M2nSJI4//nheeeUVJk2aNCrjEUII4ZJASYiRMaTA7oYbbkj7PZFIsGrVKp577jmWLFkyHOMakscff3zU7lsIIUTvFIpSf2mP0yN2ZBRGI0RmG1Jgd/311/d6+sMPP8zrr7++TwMSQoixRFpzDF3XtXXXll2Ljd3jMvfV3jfSwxIiow3rGrvTTz+dm2++mUcffXQ4b1YIIUaF7Je7b1Jr6+pidbRb7ViO5Z1XEaxgaXgpAU26EggxnIY1sPvNb35DYWHhcN6kEEL0aiQyabJf7r6rj9VTHa2m1WpNC+z2l+F6X0imVoxXQwrsDj/88LTiCcdxaGxsZPv27fzv//7vsA1OCCF6I5m08UdDgy41d7rS0dAo9hcP230M1/tC3l9iPBtSYHfOOeek/a5pGpMmTeLEE0/koIMOGo5xCSFEnySTNr4oFDl6Ttpp2Xo2QS3IguIFGGp4Jo+G630h7y8xng3pr+nrX//6cI9DCCHGFdmdYBCUG9yln+T+HtJDozEiITLWgAO71tbWAd+o7LEqhMh0sjuBEGIsGnBgV1BQ0G9T4q4sa/8vkBVCDJ5p2ZiWjeU46Eph6BqGro32sMaUwTxH0nR376QIQYiRNeDA7u9//7v37+rqam666SYuu+wyjjvuOABWrlzJj3/8Y5YvXz78oxRC7LNYwmJNTTPPvllL/c52ygqzOf2IMHMrigj49BEbx1iewhwrz1GmkCIEIUbegAO7j33sY96/77zzTu677760PVg//elPM3fuXP7v//6PBQsWDO8ohRD7xLRs1tQ088Aza7BsB4CWjjhrG3Zzw5lzmV81ccQyd2N1CrOv52hnW5QrT9aZXToh7TlK7aYQsSM0JZpGfLxjwd6ym1KEIMTIG1LxxMqVK/n+97/f4/SjjjqKK6+8cp8HJYQYXqZl8+ybtV7AkmLZDs++Wcuh4cIRnZIdi1OYvT1Hk/KC3HrhfJRuEydKvNsqk9RuCos2LjrggjvJbgoxNg0psAuHw/zwhz/knnvuSTv9Rz/6EeFweFgGJoQYPpbjUL+zvcfpk/KCOMn/EnYC0zF7XMbBDXRGc4p0JKZve3uOgj4dR7O4Z8sKdqqmtLpOB4dCo5DF4cWEtMyo7Bzo8zyWMsBCiHRDCuzuv/9+zj//fJ599lmOPfZYAF577TXWr1/Pk08+OawDFELsO10pygqzaemIe6dNygty+2cPR+k2jp4g4UDMjnmBHLjTjffW3ktQD45qledApm9Ny0wbe1cDCfx6e45S6uP1NDl1dK0fcxyHDl8HGlqPDe7Ha2HAQKfJx1oGWIwcKcAa+4YU2J1xxhmsW7eO733ve3zwwQcAnHXWWXzpS1+SjJ0QY5Cha5x+RJi1Dbu9g3EqG/WdhvtpNBtwcNL280zt5dlsNkPPRN6QpdampQx0jdrepm9/3PRjVrWt6nH6QNft9fYcpfgNDdUtkaVQZOlZBLUgS8NLewSV47UwYCDT5H1lgAHqd7ZjOT0DbAkIxj+Zfh8fhtzuOxwOc9dddw3nWIQQ+4mha8ytKOKGM+d6H8rTi/PwGzqNZgPVsWocx9kv+3n2Nr2XWpuW0tcata7Tww4OTreAoWvT26Z40z6t2+vvOTJ0zQ1uHXrNCqbGYShj2Kerx2IVcX/ZzbLCbPRurbEkIBj/ZPp9/BhwYPf2229z6KGHomkab7/9dr+XPeyww/Z5YEKI4RXw6cyvmsih4UIsx8HQFJbW88A83LpP7zk4dFgdODiEA2GWhpcyPTidkBbqMYWZcBL8pOknXDjpQtqtdlqtzkbpGlqPbar21d6eIweHNqvNC0rbrXaidpSH6h9CKbVfpqvHYhWxoWt87qPT+cPrW3A643NM2+ZTR1akHeAlIMgMMv0+fgw4sJs/fz6NjY1MnjyZ+fPno5Tq8e0ZQCklDYqFGKO6T391WPs/sINu03tdsl6p/UK7TmV2n8JsijdhY2M5Vno2cWD90gdtb89RaiwAlmNhY9MQb9g/g0kaS1XEUSuKpjRKJ/m5+vQZaeelMpeOsgD3OZSAIDMMZfpdjI4BB3abN29m0qRJ3r+FEGJIuuwbOl72C01lEntbh9h1zWD3/VAz0e+bf8/JE07mntp7qI3Veqen1hyWB8rTsogSEGSGwU6/i9Ez4MCusrKy138LITKHhuZlwnSlexWfA91OcH+qCFak/a4rnWw9e79XoHbfPSFqR72pWIUiR8/h2rJrgc5p5u7XH602MUOxty3AmhPN2NhUR6vZGN3ona8rnTw9r0dwKwFBZuiruEjXFKcfEZas6xgypOKJH//4x0ycOJFPfepTACxdupT/+7//4+CDD+aXv/ylBH5CjCNdD+RdCwPK/GVp06SjVeUZs2MALA0vTTtdQyOoBQG3aGGCMYHKQJV3fipc2NfAr+vuCRErwkP1D3lTr6X+Uq4tu5Zv1X6L+lg92Xp2WmAzmjtppHQvvnBIn8X2KR/K0bEsG8Mw+t0CzFAGcWdw0/cSEGSG3oqLUkUwh1UUyes4hgwpsLvrrrv43ve+B7i7UHz3u9/lgQce4JlnnmHhwoU89dRTwzpIIcT+MZC9PEc729RsNrNo46IeTYBL/aUsDS8lpIeI2wkuL74C07JxHFDKPRDpmhvCDFdQ6uDQEG9IW+9mY1MTraE6Vu1mrMZYBirhJFhRu4J2M4Jm+3AcB6UUPkOjNFDCgpIF1G9v59k3amlsiXBIeQHHzJpMZVEuvm4Vq1ErSh+tAvskAcH+M9IV092Li6Rtzdg0pMCutraWGTPcRbNPP/00F1xwAVdffTUf+chHOPHEE4dzfEKI/Wik9vLc2/Te3q7bW0WoUgoHB9Oy+aCuhV/8awN2l4yQpiku+dhMd49XbfgOPF3HXOovRUPzpq33l315/gDazQiLK26ke1SmKx0bm8ICnc+fOI0Hn3mP044sw9EsokRJWD2D1MtKLsMcZGNDCQj2j9GomJbXbewbUmCXk5NDc3MzFRUV/OUvf2HRokUABINBIpHIsA5QCDG+DSQruC/XtUyb3722hS3b23qc/9Qr1Sw5O3/YDkTdx6Nwg8tsPZscPWe/FE/4lI8l5Uv6PN9Qe/8YNxw/4HB37T3URms6T9cMsvVsCilhSXgxeSE/jmZxd829bI03EAoYaY+o1F/KDWU3DOlxSkCwf4ylimkxNgwpsPvkJz/JlVdeyeGHH866des444wzAHj33XepqqoazvEJIca5fckKDuS67U5ixKouextPh9WBQvWYgi32FbuFJ/sY7Pk0H9ikNWruKuEkwCZtyi01RecGnuDzaSilqI3VsDHmFjw4Dvg0g1w9j45uGbjaaB2bI9XkOf70bdSS961QVAWr0FXnVG2qKna8bqcmRKYYUmD38MMP87WvfY3a2lqefPJJioqKAHjjjTf43Oc+N6wDFEIcOIayZmgsVl0W+4q5b/p9aGi9VspC74+lv8efKiK5t/Zed5u3pN6m3FJTdI7jcG3ZtUSsDndtHQodndJAKSEVQlMaWXoWE1UJhqZTOSkHXWlM8k+kJrYl7fGEtBCl/lICWgBd6Xy98utpQWvXgHMgWUQhxP4xpL++goICvvvd7/Y4/Y477tjnAQkhDlxDWTM0Fqouu2epUmvvUkFY96xdX4+lr8fv4FBkFLEkvISAFgD2vsdu6jZsbCwslFLkGrnMCs3i/hn3p11WoWFocNoxUwCH22fczDXrrqfZ2uYFqeBWItvY2I6NQqEpzcskdn8cCSsxJopvhDjQDPlr1b/+9S9+8IMfsGnTJn79619TVlbGT3/6U6ZOncrxxx8/nGMUQhxABrtmaG9VlwDRuLnfFu33tg4wtfau2WxmS3RLj+nT1O8RK9Jjf1nv8Xfbl9YJOgS0ANeVXYeF2yB50cZFAxpjKtBM3bfjONxddze1UbfBsIZOruFuz1bmL+OasmvI9WXRbEEwWY18d+09NHRp6ZJq9TLY4FUIsX8NKbB78sknueSSS/j85z/Pm2++SSzmThG0tLRw11138ac//WlYBymE6J9p2ZiWPe4rDrvu4tBdf+vV+qq6tB2H1dU79uvm832tA0ytveu+vyx07jH7xLYnWFCyoMcaOehlX1rTvc63ar6FUspt9dKtBUzCTqStxYtaUQAuL7kcv+b3xgNQG61lQ3QDADo6+UZ+jx1BEpZNJGbiOA41kS1Ux7aQb7hNiN33m82W6BZ2mDuwbMetPh5b3V56NdJtQvanfa2YFplnSIHdN7/5Tb7//e9z6aWX8vjjj3unf+QjH+Gb3/zmsA1OCLF3sYTFmprm/Rq8jBRd6Vxbdm1aEATuFKCO3u/are7BrGnZvL2l783n51UWYdnOfg2GU0GUjZ0WSJiOieVYbIltIWbHUJrqNThM7Uvr4GBhYTt22jZe3SWcBD9p+gkXTrqQdqudjdGNXLXuKmaHZrM0vJQyfxkdVgea0rznFEgrggA3sCs2prBHizPFX+peXunoqnP/13bH9B6hA3TELEJ+8OljP7gbjTYh+8O+VJyLzDWkwG7t2rWccMIJPU7Pz89n9+7d+zomIcQAmZbNmpq+g5f5VRPHVebOdEzuqb2H6mi1d9ok3yTuqLoDC8tbu9VdbxmWvW0+P6dsAj99cR2rq5vTpm79IxgMm47ZY5p2MIqMIgJawMugKZRXJFHqL2WPtYfaWK23t+3i8GISdgKf5iPHyCHfyPduq2u2LqAFuLFsCaZtYWg6hgY5Rg45ptvSJZowwd99NA6xhIWha2M9rgMyo03ISPWhFOPLkAK7kpISNmzY0KO1yUsvvcS0adOGY1xCiAGwbJs3NmynMCfA9tZol9Pd4OXQcOG4CuwAamO1aXuQAliOxYq6Fewydw14LVd/m89v2b6HWMJix54oLR1xSgpCBH0GCcsmYdv7lMHrOh26P6SyawYGyyqWYTu2O+3qRFAKLpr8Wfyan5srbsbB4evVX2d7Yjv/1/B/fKn0Szza+CgLShbQYXWwx9rj3a6GRo6e4/3+99XbOLhiAlMKgoDptnRJtk9JWDbdOQ7D2lpGCDE0QwrsrrrqKq6//noeeeQRlFI0NDSwcuVKbrzxRm677bbhHqMQB7y+1gQ5GnzmhAo+Y1dx++Or0oK74e7hNlIUKm1qMPXv2mgtO8wdXnDRXfd1hj5N40MzJ/Pnt+p6XLakIAuUm92cXZrPV04/lHUNLfzPk2/S3BajfC/T2X29Hqk1bD9p/AkXTb6IMn+Z1+6ka7AXDob7fPyptVEODu1Wu5dtCwfDKKXI1rMBCGgBHBzurbuXhnhD8jlx7yukhyj3l7M4vJg7q+7Eciwvq9litWBj4+zlvfGJuWW8XbOTZ17fwoKTp9IRNUlYNoauETB6z2pq2njI1YmBGgtrd8fCGMabIQV2N910E7Zt84lPfIKOjg5OOOEEAoEAS5Ys4corrxzuMQpxwOu7DQZMVCXcWH4jwW4ByGj1cBsM07KxbPdD21AKNMjSs8jT87zLZOvZKNXZANi0HbfK1XbQNYXldwOUtQ27+NvbDezqiFGcF+L4OSVc+JHpRBMWm5paAYgkLHbuiXH2MVXoSpEdMDj/uGmsa2jhrqfexHEgL+SndS/T2X29HqX+Uq4ru44tyR5wi8Pu+qeoHcV2ema5TKczEwY910xF7WiP9YZRO5pWNNEQb2B9+ybipkUoYNBqtrhr3kIdRO0oy2u+RV2slqNzj+ZLpV+iQC9AQ2N21myyjWzvdlJjSBWvGD545IX38Rk6juOebsVssnwGWkBR4BSjKY3KYCU5Zg4RTAI+3XuuRmrxvhz494+xsHZ3LIxhPBpSYKeU4qtf/SpLlixhw4YNtLW1cfDBB/ODH/yAqVOn0tjYONzjFGJc2R8Hm17XBDlg+XoGDCPRw62/ykIH8CkDzTH6HEMsYWErk6gVx3FA1zSMZManxFdCUA8CUEQJOjrhQJhsPZuOqEWb0U5DrBHbcpfuW7bDH9+o4cpPzsLRLO8+LC3OJZ+YSty0sB23+nNjQztTi3PZsqON6z41F00p7npxFZbtpC3839t0dnpbks7HnWpzck/tPdwUvgmAX237FZujm73tx8BtODzBmIBf83tZPYXyMmsRK8Kvtv+Kpnhnr7qYHSOkhdKCJtOy2RNJoCefOwd36tp0TK/YYlN0I5N8kzCUwWUll5GlZ7EkvISYHet1jZ+7m4VNfnaA1o44ODpLK5agFGhKEfDp2Db4dINbK78GKOxkoN3V/l68H09YrG/czd/ebuDdul1y4B8mY2Ht7lgYw3g1qMAuFotx++238/zzz3sZunPOOYdHH32Uc889F13XWbhw4f4aqxDjwoh+y1RuNajf0JlenEdrJJFWCLC3D759CUB7y1qZlk3ctCnzl7GscgkN2/cwo6Sgx+M2LZsNjbspmejj7pp7qY3WEQ6Ws2zaDYRUFv8z/X/ch6fcbJZf87MkvMTrwQaKq965hqZEE0q5hQO6pnn7nNZG3elXQ9MIBdyPuTJ/KYvLl5Ab8nHfH95m9eYdfOsLH6JyUg61O9pQuG1TuoYme53OdsC0beIJ9zmMaZYXKDWbzZiOiU/zcWnJpd7OEQEtkBZQxewY99bey05zZ9p6QUMZXFp8aZ93bSiDhJPAtNIDUl25j8FQBprSqAiEUUBID9FutfNQ/UNMD07n/Enn82D9gzTEG3rcdqFRxLKyWygrzKZhVwd3/HIVQb97uzkhH4vPmkdHLEHQDxp+dB38moZP3z/BVF9fIiwcSib6+PyJ07j98VW8V7eL9liC3JCP6cX97xEsbUL6trfCo5FYuzsWxjBeDSqwu+222/jBD37AySefzMsvv8xnPvMZLr/8cl555RW+/e1v85nPfAZ9P/1hCzEe7I9vmWZyobqDu0BdQY92ErqmWPDx2XzBctA0ha7UXtc7DUcA2jVrlbBs2qMJHMDMsrEdh5++uJ4LjpvW43Gbls1L7zVywQlhaqN1bOzYDIDt2ISDYTSlcXft3dTH6lEoNygx27GwCAcqWBZeSkgPoZkqeb3OD/+ut6cpRZ7jJ5awiPhNYqbFj/76PrXN7QT9Bi+8XcfVpxzM9OI8PmjY7QZIXfQ2nZ2wE8nXw/1P0xTBgPt8BfyaN6UZtdxpVMu2CBpBlKa8NXgP1T9Efbzeu1xToqnHazqQiseElSDg08kJ+rzr5yYLILL1bIJakFsqbnEbGjtgOTard31ANNvi3Ek2DfGGXrPAThB8hsaVJx/EKfPLeXLlJtY2tABwcPkElKbIz/Inp9A1NE3t3+xwL18iHCASM5niL2VZxRIOKivgqk9OoawwG00pr8Cjt3FJm5D+9Vd4NFJrd8fCGMarQQV2v/71r/nJT37Cpz/9ad555x0OO+wwTNPkrbfe6rEBthAHor6+ZZq2w5/erOWQcCHQ+8GmN7GExYbG3ZRO8tMeSdAecw/kvfUKq93RxivrtrGpqRVNqT6DNNOysW3H7fH2xzXYwxCAOsmxdv+onZQX4v263cytSP92bdkODbs6cBy8n4gVART/VXI5AS3AbnM32xPb3Ssk8Jr16uju2q5QObpSlAfK0Pr4/ElNDSYsG9NOLxjw6Rrv1e9GU4qzj6mi+o9rMO3UJvd9T2ebjknMjtFutdOSXM+Wuk5qT9gio4hmmrmr5i4CWsCdclV+poemc/KEk2mz29gS3dL5GirSdpqIWlEvcPTG262lSzxhYeGAcnBU57i7SjgJHt/2OI2xJqIJi4gdJRwsZ07WHAD3tXe6XNFx3x+RmEk0bvGTF9ZzzMxivnL6oTz87DtsaGzl9CPC+EZhHVv3pQiOA60dcUzbRlOKzx4/g/frdvPTF1dT39zG7LIJnNHH34C0CenfWNh/eSyMYbwaVGBXV1fHkUceCcChhx5KIBBg4cKFEtQJkdTbt8yEZRNLWKyt30UsYVGzYw9Vk/L2mhVLZf9+s3ITS84/GBvHDVAsm+ygLy24sx2HZ97YwtadnZvN//yf6/n8CaQFabHkmqTywhyefGUTrR3xzkCRIU5zJGOP9H1a3crJK08+CMsGOxkwGLrmZSALstMboTXEGrnqnWs4KGcWy6amL+lQKK8VR46RQ1ALctv0m4kmLPy6hobh3W7ndTqnVvv6hCovzAYcDqss4vpPzeXZVTXU7minrDCLM4+s9KazU1PWNg5KBxsH07EwHSvt9hwcNDRuqrjJayzc9TFoyQa/t4Rv4foN19OY6Lke2cEhZsewsbknuV1Xmb+MJeHOli6mZbO+cTdTJvm9psOOA6mPYk1plPnL8Ckfl5dcTtyyveKNkM+P5ZhuPKclg8kuEbmmq2QG1KG2uZ0X31vN0rPnc+nHZrOzPTqgKf6RkgrcfbrG+q1t3PXUm95ayffqdrFO1mMNyVjYf3ksjGG8GlRgZ1kWfn/nh7FhGOTk5PRzDSEOLN2/ZXadniwrysF2HB55YS2f+XDP6cnuUtm/VEYtHCz3zvPpOiG/joPjbrWl4PKTp2N1qbxUts7P/7HJC9JSgeLzb9XxxU8ezJbtbT0DRQY3zWFaNh0xk5DfQFNuQGDoWnJs8P9e+IBVm3cwc0qBlz3RFOxsi3HioelrmXRNsd3cxkQ718tVpbJ0qX1Owc2KJewEuuPnhTeaOGrGJEoLg5x5VAWaUmgofLqWFrB2XzuXur/TDw/THjN54qWNfOKwMm741GGo5LpFy3anWbtOWTs4XP/pOaA5VAQr3LSR94S7zZR15WYUH6h7gLp4XZez3RGU+cu4tuxagnqQtmj6VmNtZhtRO8qPG3/MpcWXUtfexPr2TUSy3SrguG3h9+mYls3f3m7gko9PZ3F4MTE7RkAL9Hh9DGUk+9zZZBl+4paJ6SS8diztVjutVqt3eQ2NbD3He64MTRH0G/x1TT1Lzp5HxaScAR1QTcvGViYJx+wzqO6ageyvEKevbeRSgbuuNJRS/P2deizbSQvoZT3W0Oxt/+WRCuxGewzj1aACO8dxuOyyywgE3A+QaDTKl770JbKzs9Mu99RTTw3fCIUYR7p+yzRtx5ue1DXF2UdXUd/cTs2OtgEdbFLZP7+hoWydZRVLvPM0pfD7dOLJRfgxO8btm5ezPb4DcIPAZRVL2NUR84K0VDNjv6Gj64qjZ0xiXXLdlGnZtMXcg/BApjncNiUOkbi7bs3v0wj4dRIRm5BPx0o+9vUNLUTiFu+nsiefmsvcyiLyQj4m5QUxVYyAoZOX5XfvU8Fk/yQ0lb57QdfgJzVF6dM1zj6mCk1zpwVnl04gTpTskI9s5Utbi+jTNUI+N/jMCfk4uHwCpx8R5uDyCTzz+hZOPLSUkoIsfIbC0Nw9Zh2VnJaMm/zpzRrer9tNeVE2tuPu8LAsvDRt+lQphYbmBlPYrI+sZ11knXtesjdf1wbAqceV6lPXddswty+dg2m7axVN2yZuWtTs2M1BpROwHId363bxvWc/4MtnzOKxrb/gsvKLeaTxURpjW0G54VDCSdBhdzBZL+XmqiU8te33fKr4FDZHq7EciymBKWn99XR0so0ciijxTlNAw852L2jfm67LB+7eci/18Xr8RvrUbfem0v1t8XV4zuG9F5Eo93UN+nVQsG13R4+AHmQ91lD1tf/ySAZUY2EM49GgArsFCxak/f6FL3xhWAcjxHjUvbL0sMoivnbBEfzq5U2srd9FWVEOZx9dxazSfB5+9h1gYAebVPbvvbpd3P74qrQ+dUdPn8SZHyrjwfoHqY83sLNjDzWRntWNxXkhDKXc3RC0BJ85oQIHB90wueq0GcQSyalER+eOX65iV3tsQNMclu0+5vJgeTJwdbN0dtBB1zQKlRsYhAIGvg73tqIJi6de3cz0knwe+8daPn5IKTMrspieU4ERUcRMmyKjiGXhZd6esDl6To92HFl6ltciROnJjedxg+q4BeWBsl5zPGX+MgI+ncVnz0NDuQvsnQSfOtbt24YysYE4bpBlYqNsg83b2vjyqYfw8LPv0B4zsR2HOzYsp8XaRcCve69/0K9T6i9lUdkiTEwSdsIL2lDpmSeFosxfRpvZjk1nYOc1Lk4+ZJ+uEewSqLz0XiMzSvK998authiWY9MYb8JyLP7T+hobohuT1cRuhWyenoeTnGjZkWjGdmw6LHe5wLLyZZ1jSlYgB7UgsYQNlkY0+f4Y6Jqm7ssHtkRr2dixGQU9lg9019cWX6m+er1S7pcmBVRNzqN6R3uPmx/oFxXphdfTWHgexsIYxptBBXaPPvro/hqHEONSf5Wly86ZRyRuYTsO9c3tPPzsO15l4UAONl2zf113lNA1xcEVE3BwaIg3sCVaTcKxU+vv0xx/cAm6rhF3oqyoXcGGPVswbdsLxCzbYbJeypLwjRwSnsBRMyYNaJrDsh00x+CWyvTAwKcrUIpEwsaxlbfuLWHZ5ATddXBKQZZP57evbeKWivksKruRuOUWNmho+DSNuBP3dm2IWJHOAAmYYEwgakf51bZfsaBkQdoi+IFUO/r87uU74gkczeLbdd+mNlpL3HQwLTuZDXWLM64rWcQjf/uAzx0/k4s/OpO/v1OPUort8R1silSTn+XHTk7ZEnUzie5KvP6D9lT7logdcQs6km+FVHFH1ImilDsNGrQN9//9BuUTczBth4Chc/oRYV54ux5daZT4i9GV2+uvaxAZc9wiD5Vci5Z6y21PbOeKdVeQpWUBbgCYrWczxVfKwimLefQvm6jetofte6IYg1jT1H35QEqquGZf9pHdW3uSjx5cwksfNA56PZY0wRWZZkgNioUQe29tMq+yiKaWDh55YS01O9q86/V1sLGSlZum3Zk16GuNyaySAhK4fdFSU1LZQR+xhIVlu1ksv6EzqyTby2Q1xOupN2u8NX+ptXB6yA0gLvv4bAxtYN+OdaUwldtHzOM4YLvr2xzl4KjOhrn5IT93X3Y0mm7jMyw+87EK9znEwrJBOQrl6Pz0Hxu49OPTQFf97tpgOzY1sRoAOmIJlFIYmsJnDLza0acpEkpRH6/3dopITS+bbe7j8ukamlI8/1Yty845nM8dPxPdMJmVW4Xf0Lsd+B3K/F2Cj1TVRrcYLxp3+95p6Hyr+gG2xhvIChqQ3EKszWpzd5ZwoCNqsicSJ6ZbOLbDyYeVeWsA51YUcUhlPrYyuaz88wQ0PzdX3tzjubpx440kEu5pAUN3i90UNMQavAAwldlTKHTd/WneE2Xq5FzOPaaKuQNc02Qnp8lLCrLcqekuX166V4oPVMyOYShjrwH7jJIAN3xqLn9a5f6tlA9gPZZl2VRva037G97dEeeD+t0sPHMu86qK8PWxfRpIpk+MTRLYCTFEA2mgOXVSHp/58LR+F/+alu0VMVi2w849UdZvbaGsKJtZpQV9rjFJdC3ITAZ3qdsMBQx0TfVoGNs9AIzGLZygu+A86Bv4x4GmKZSyuXvTPdQkmwGnsoAKKPGVcV3JQjdscBw3AFIWDzTcT32sjvaYmQwsDTqiCcqCZSwNL2F3u9u+4v81/Igvha/EwWF5zXJqo7VpU3gxO8Zk/2RM2+auX72Opmmcc0wV86omDjjL4jgKy3HoiJq0dMQxNHedYE7QR1s0QTxho5SiYmIu79fvIpqw+Pk/1/GFk9yCha59Aju7hThYjrtOTkNDR/fOTBWAOI6bz7Mdm9poHZsimykgADhesci0wHSUUkzLCRMK6O70slJE4xZZfvd10hSYymJF7Qo2RTfh1/xerz9w95ZdVr6MoB4karmnxUwLx8EbW6qjQWpstuO4hTgnHcQlJ8wC3DY6GxtbmTklr0eQ06PoQYdrz5rt7qDhU2QFDLRI77tSDFSz2YzlWGTpWX1eJpbcNm5CTpBrTz8Ulfx78BkaSrPpsGK9Xs8BppZkc+dnj+Yn/1jLO7W7vL+Np17dzJzyCTgO+Ht5T0mmb/w5UAJxCeyEGKKBNNAM+o1+F//GEhZrtjTzhze2oAGf++hMSguzmVyQhZmsqM0N+Qn6O/9UTcsmljBxtGQyKNWHTKW3RetVtwAQ3ICsN10/BA2l0JPXiycstrV2MKFAZ4fdSG28Bst2yA4Y2B0O0YSFk+8ufJ5akkskYTGrLJ+AT2drop7392zEtGz8hk6WY9AWS7htRBSEksHlrsRub0qzPlbP5thmb1xuYYXGZP9kdE2jKC/EC2vqeXtLM7d95igOn5qeZUl7HJpbHOEA65M7X5i2m80ybRszapMT9JEb9HtPYnbQoCg3iO04rKnZyY2PNDMhN8DlJ86iYmIuzW1RCnOCGD4LEzfICWgBDso6iFwjt9vTr5iolaApd+q6IlSOoWnJjF3qxXTXAwa1EMvCS4lZFo7jkEjAxsZWDg0XYlo267a67U7q4/U4jsMkYxJFRpFXDFHiK8Gv/ByefTh7jIjbHNlxx3BQ1kHkGDk9Kk7L/G5GUNNsfv2vjazavIMtO9o4YupEbv3MkT1yoX3tPjJRK2HZtEXee1LXlLdzRW/6qnxN6W9qO25avFW9g7ueWkXctJk6OZfJ+SE6YiaXnjiTqaWhve6Q0hFLsPSc+Tzytw945g03E7x52x5iCYu6nW09drGQ7a7GnwMpEJfAToghGmgDzb6+FaYODvf/cQ3lhdnc+Ol5rNvawo/++gHNbVHCRdmcOj/MEdMmkYpTUh9Ob2zYzoUfq2CyVoLtt3sEZ/1ui6T6CfxIv59n36wlmrBYet5cNGWjo7CVQ062O8eo64qsgJ7cUQEiUTMZeFooBVecNAdNU2gaOCQoUiVU+BPEibJHNXvZPK9RMe46sK7bb+UYOeQb+V2Gr5KxrMJxHM48spIX1tRj2g6/fW0z86oKSZhu1sWbXmuPkbBsCrID+HR3TVxq54vUbGGqliUat8gJaW5mTMGutqhb0byznZYON3DriJs8+epmbvjUYRTlhtA1sJXNY40/Bsfh8imXe1PJ6eN278RQPnDg5sqlGLqGrinipo2WnGa1HQfN0bnrN2+xLbm+MhI32bknyu0XHsW8qiKadnUQLg5ycOgQLpuyoM/dEi4tuRRDGSgUpYEp7rRmuO9pTUMZWD6Liz46lZXr3X1qt2zf02PdXEqPogcH8IGDTbm/jESOzZTQZIJd2rFM9k1GobxGzLrSOST7kF5vv7/3smnZJEybJ1/Z7BV6bGxqZVNTK9lBHy+918jU0ql97pCSCLlZ8h88/x6XnDCL//r4HDZv28O7tbsIT8wBBX9f00DlxNwegZ1sdzV+HGiBuAR2QgzRvjbQ9A4OlsPnjp/Buq0t3PWk22DV0BVt0QSrNjdz6wVHMH/qRADW1DTzpzdruPDD08nyBbi5qmvxQvrtD3VbpO4fguGibEwnwT2b7mWH3YimFBNUMcum3cAes409VltyGyvl9X4L+HSUAktPYKtUmwyHJVOvd9uFKMV16xZS3V5PdsAgy29g6Bol+SF0TaNN7ebe2nu5MXwj7aa7wwO4a8Fy9VxidtRtEmzZTJmQReXEHKq3txE0NBwUq6ubeW5VLVu276GkIIuzj6ni4PIJ/Pgf69jVFuW/Tz+Uhl2dzZy7FijbyQgzVchw7rHTKC4I8fN/rmdyfpC2aIKdbW6bltTjdPv5Glwy8XIUoNkGSocfNz7GtsS2LrcNCdMmX8/ni2VXsW2HScXkXLDg7t+8zowpBXzhozMwEzYPPfcur23Ynv6a6oo1NTuZW1nER+ZMQek2l5dchqEMVtSuYH1kfY/sVjgQZll4GUEtyOlFp6Fs0DSNuB3nR40/Ymt8q/v+SQbKcSdBka+Qa4sXeRnUykm5/W5R162dHwliaGgsDi9BS7Z66d6nzsYmbrtfirL1bK4uuTqtrU3a4+7jvWzbbtPurmtYobNYo7E1kvZsdN0hpeuY46bDb1Zu5uBwIVd+Yg6Lf7LSa0+0urq5RwW7bHc1vhxogbgEdkIM0b420EwdHMonZhOemMPdv13tffCk/l8p+NOqWg6tKEQpeGfLTr586iGsa2jht69Vs2tPlJIJWXzi0DLmlE/odS1QykA3Pe/rQ7AmWseW2BZyAj4iysR2bGzHSu6w4B7QNU15VZ4xO863qu+jNlpH0DDw+RTtVjulgTKWhZei2f7kdLPJpOyJZPn8XJBsx1IeLKNAL0BDozJY6e3YoCvda8Rb5i/DdkADCrIDsL2Ni0+YxZotyaA0GaBtaGplxe/f4roz5nL8nBJ+8Jf3sG2HCbluD5BwoNw7yLt97gzv9hVQWRIkZia4+KRKHECzdX78tw1cdtJBfFC/i9IJWezuiPP8W/XkZ/n49LFhd2oZh1Xtq6iOVqc9jwpFZdAtvqiYHOLfHzTykdkl4MBvXt7IRcdNQyl4q7q5x2s1v2oinz66ire3NLOxsYWzjivlkcZHWFCygLp4Hesi67w1dqn7shwLG7co52d/20xuyMf5HwljYvFa62tsjG3CcZzkejsHDZ15OfMANxAqm5DF546fgdFLYKdQFGiFtEfXYyXX0QV8Ok00cW/tvdxaeSshPUSH1cE3t3zTK3hxb9vBdmyqglXcVnlbv2vo+mI6No4D4Yk57GpPX0dn2Q7FeaEe2WnLdugedymgZkcbCdMmXJTNNz57DOGJ2fz65Y185KAS77G762DdyulS2e5q3DjQAnEJ7ITYB/vSQDM1lZs6BnSvnAV3PVxD8oNHQ3HsrGLWNbTw83+tIy/kp6Ujzts1O/n7Ow18/TNHMn9q71MKg9n0vL8PQdsLOHseuGzHIejTicRTfdnc4oAN7W4wYViKFrMF03bXgDnJ20pYNrZpkHAS/G/t/3FF2QKuL7uekB5Cofha5de63VOq1FRhJhS2A7vaYxw/p5jyomz++nYtO9ui6LpGyKej6xrtUZPfvVbNsnPnE/Tr1DW3ccKcUpSjs7Rr42dNEfC52Swbm5gd457ae6lta8JybK/x8znHVLFzT5RpU3II+DSychwWfLIqOd1q97uzQ6pJsQOYps3s0nyUBhd9ZAYtHQleer+RE+eW8tE5Jby5aQf1u9rdHSB8BhcdP521Dbv57rPvMLfC3Xd4a7wxPUvXdfNa759u1fAlH5vl9v/D6nLB5P8n9yRTqRVvCo6dOYnPfnQaaBYJYukFO7jB2bLKJaxt/W8aYo3YluPtZNJsNqeNqzZWy8boxrTr2o6Nroa+vklDsastxtlHV/Fu7c60LyN+Q+Ojc0p6XkdTvVboVkzK8c4vLgjS2hHns8fP8HoIdl2ecMFx0/jkYWW8W7szrfJXtrsamw60fWczMrB7+OGHuffee2lsbGTevHk89NBDHHPMMaM9LJGhhlpZlZrK/c3KTSgFFV2yDkGfgUpeJvXBoykoL8pG1xTf+Gzn+7lmRxuPv7TBy+z1Nhbl6Oi28oJPvZ+2Jn19COpK4TfcBrOpL7jhYAWa0skxcsBOHjRD7toq9zoaOSEfuuaui9OU7m65hUY4VO59U54SKAZgdcsartx9DfPyZ3Nt+bX8cOsP2WXuAiCkhdwqXsdhsr+Y/5pyGVu3xwn4dZacPZ/Swixs2+Gij8zgQ7NK+NmL61jb0EJO0D2QpwLn3KCf37yymYWfmkvttjb+/m4DDc3tlBRkcdoRFVSVBLl7833UxxpQRoL6WCO6UnTEE/gNnaBPJ6cwQMK00QyLdqud5bXfojZa6057Vixlc3QzlmNhOqZXzKC6Lm5MPn/BgMII6NjEmRnO4u7Lj8CyHWwtzqUnT+Vzial8/Rer2L4nSnlhFqUTsnnw5TWYluMF2ZryQrEeQZKmNHSle+e/vaWZhl3tnHrkFOj28juAchySyVGCPp3Pf3Qmlhbvc1eIUn8p15RdQ0gPpd1O3OycUo1a7hrBkB4iV08vJuka9A6FoWvETItZpfncfN4R/P61amp2tFExKYcLPjSNmVMKMOnM5Knk40pYdvr+uMmdYZrbopQUZJHl91GzvY2fvLiOpt0Rlp49nx17Ijz4p3ewbIcn/r2Br5x+KNedMZe/vFVL0+6IbHc1TPrbXg7St6IbqANt39mMC+yeeOIJFi1axPe//32OPfZYHnjgAU499VTWrl3L5MmTR3t4QnhSU7kAu9vinHNMFWu37nbbNCQ/aLp+8CjAZ8D21ig/+usH7gFsYg6fPqaKxWfP47G/r+11SqG3arDPfHga04rzsG2nR6ax+4dg1eRcAoZOKGAQTH5kaL4EqW21NKUR1II9KhtjdgzNl0Cz3IX/Ib9Bjp5DtpFDQAty69SbiCTcoEdPRhMOsMvZTm0sBxubVW2r2Bjd6PVZi8QsEpbNjOxpXKVfzowp+diOG7D88qUN1De3UZgb4FNHVrHs3MO55+nV1DW3oeuKioluRqappYNdbXHuf+Ztlpwznxkl+d66q227I0RNk5pIPTtUPSQc3JfCIStgEPC5gW3ciePzGdi4mactkWo2RDdiJ1uddO8ll+IkfzpiCRKmBRqsqF9BfbyejmiCkN9AaW57kHCwnEVlNzK7rIDd65s4qGwCfkOjsSWSrKp1b7PEV0JAC6BQPbYsgy47ddhw9IxJJMwiNN3C7LouTnUWr9jJ95Bp2exui1KQr/W6K4TjkJxy1tL2MXbftxql/lJidozHtz3uZi+7rZXM0XtW5Q5FxcQcNja1MjkvyE3nzXdbrRju31BqXWCP5QZBm1jCpjRQiqYprjp5DuWF2WxvjeLXNd6v28V3n30X07YpL8ymIMfPD55/j2jCwqdrrG1o4eFn3+H846ax8MzD8CULYDK1fcZISjgJftT4I3YldvU4r9hfzILiBQPuVZnSddnMn96spb65nbKibM7I0EA84wK7++67j6uuuorLL78cgO9///v88Y9/5JFHHuGmm24a5dEJkS41lWvZNqVF2dx6/hE8u6r39XqmZbNmy07ueXq1VwG4qz3Gu7U7ueX8Izj/2Gk9phR6qwYrKQgxMTfI6s07+PPqul5L/1Mfgu9s2ck5x07FwSQSt2jtiKNrijprK4s2LiKohyjzl7I0vDQtaxOxItxbey+b2+qJme5YTTuBoWmogBtF+AlQuzPGa+vd4oKzP1xGyK9jxBWJZMbH7fnWGYFMzXHbgJQFSjE0jUjMombHHp5cuYmWjji6rrGuoZW3qt/klvOP4PMnzOSuJ98kO2Bw9jFV1Gxvo3pbG/lZft6t3UX1tj3MnJLPttYIf3yjhqbdHdx04aGE/DokHPZYbViO5U23tZnt3q4Xl05e4K7XSjUi7leqkhcvE2vbELdtaiK11CVqaOmIk2W5H8nt0QTRHAtNU/zXx2fzhRNmEvS71cMTc4Ns2b6H+p0dxBI2TvI6HVaHFzh1FbEiyeffYX3DbrKCBpMLfe4eu5rh9bNzn2UHLZn10zTFpNxgZyPsHo/I/Qlofm6pXIbVJZjVNQ2/oRGzY9TGa909cZP/Je9mWJiWza9f3siRMyYxMS/oZqN1xa62KG9s3M7pR1Tg03tfhpAagoFBfpbD1t0dlBdlE4m70/aWbRMuymF+VRGaUtTsaEvbPWNtQwt3PbmKg8oKWHrO/LSWRAei4cq0KRSXTL4kba1oioaGg0PCTgw6a6cUTC/O47ozDnXX5irSdn3JJMpxMmfVYDweJysri9/85jecc8453ukLFixg9+7d/O53v+txnVgsRizW+cHV2tpKOBxmypQpaH309xJif+r6B6m6nd4WSbhr0rr92fp0jbyQv0dlbNfrpOSF/NiOw55Iosflc4M+fEb6+z5h2eiaYo+1J21rL6XSN7fvmn1xcNz1dI6ZNlZNKQxlpLUv6Sp1HV3p5Bv57DZ3e1OZPuXr0fYE6LEQvrUjgeU4+DRFTshHR8wkYOgYukZHzCRuugfngE/H0BWxhOUelL21aQ67zRYsx+xRpWkogwKjgDarjRwt18104XjjTJ2/x9xDrpFLh9WR9py5z5tCR3eLBRzYZe729otNPR4HB0MZTPAVpD9O5VbV7onE0TWNvCwfHXYH2XoWrVZrj/uCzl0lACIxi5Df3eUCBXusPb1mF7u+pl1fy94ul68X0BEz06a4soM+dK3z9vOMvLTXEjoP0rrSmWBMGFL2zgFa2uPYjkPA0Aj6DW/9pxpAWx/ofL4t2yFu2oT8Bu2xBEGfnlzrqtwKb8uhPZbosT7Pp7vLDTIwPhgUJ9lgu6/34EAztE7yv+6fNymGMsjVcwf9fkmYNnuiCXTN3RHFdtzXvLfPvJFm2zZbt26lpaWFvLy8fb69jPqKsWPHDizLori4OO304uJiPvjgg16vs3z5cu64444ep2/dunW/jFGI/SEGtPWcuehVpGdSZ0Dn9aeVga+VihGjnd6LM7rqoCPt9wSJHqf1JwrsGeBzMlAJEkRwM2B72NPv+W209Ti/q93s3st9xYns5fG2J2+iZS+31XUsA31KBvqa9vaadH/ke3u9U8/Zvtj3W3DtTv7/QN/RkUFc9kA2mM+Iventb2+ohvqZN5ZlVGA3FDfffDOLFi3yfpeMnRgrumfuesu+pfSVNUhdxwFygkayJYXG7vZYlxYXnTSlyM/2p63xb2mP99rUWAG5IT8x00puX5b+99LfbgEOjru7hGO7e58qgzwjjz3WHhzHcatHjRwvy6NQ+JQvLfPTuUVXZ4arwCigNZLAtt3eeblBHx3JLEvQb7hbTHV/jpOZMIXbCkMpaLP2YCf/60pHJ9fIZY/Z5mYNumTsHMdhgi8989RXRkxD83alcHfZsFJFqYC7zs2nuY+npcN9PKnMp0/XyA35UEol3xdO//elNHL1XDpiFpblZqR0XXlZtlQGt68tv/rL2KWyr6mm0ZC+vVqL2YKD02uGNj3jomiPJjAtdxxBnz7gLErCtL2Cnj2ReI/3dE7Qh1LQEXPXefq73G73vyldU+Rn+YmbNq2RzuIhhZtpzQm6hUB7IolBjzPTDfR9MpDb6ZoF786v/AO+rc7b7Mzsdtf9M280pDJ2wyWjAruJEyei6zpNTU1ppzc1NVFS0rPsHSAQCBAIBHqc/sEHHwxLSlSIwepe7FBcEOK0+WHmT53IW9XN3P/M2z1aLPTVPd20bDY2taCh2NYa5ef/Wsc3PnsMd/92NW9vaUYpd9osFZQdXD6BJWfP89YLReMmP3z+fWqbO3Mwpu0QiZnMLM3nik8cxMPPvct7tbsG1ME9njCJ2DFu3XQ7r+z+j3d6ZVYp3zv4QRSKoBbETIDhgxW1K6iLu9WY5f4yrim7hmvWX0t1rJrc5NROwrLZE0kwPWsqD8/+Dt/69bvU7GjjujPmkhfy8T9PrsLdJUNjYXKMlu30ub2Q0i0SyQOK2wjZdoPg1Ee/gv/ZcC+3Vd2KphSWHudbtd8CB26qWMZD9Q/h4HBt2bVct+E6r8VH11YnJVqY7895CNuG6zdcT3VsCx0xdw1iKGAQS1jMypnG3ZXf5ms/WU1zW5T2qIlpu33b5lUWccv5h/Pkyk1MLc7lQwcXcvW6q9kQ3QB0TtsqFDOC0/nBrB/wk79Ws66hBV1XXPzRmeQEDJ5+bTNXnjyHu3+7ms98eFqvr1+H1dFnVWxZoIzF5Yt77UHXYXWwcONCqmPVFPuKCWmdazBLk+syfQRY27CLH/31Axp3d+bcdE1xw6fmMreyCMdx+i1KiCfcgpr/efJN3t6yk5ygge24QXpbNMG8yiKWnTufW37+Kk0tEb52/hFeWyDTslldvcNbg3rRR6Zx6vwK7v3dat6q3kk0YXr9+bL8BnMri1hy9jwc3PZDqXEdKHuQ9qfr691dVaCK+6ffP6BehRErQsSO8N/r/zutPQ64U7qHZR/GA9MfGFTfw2jc5N7fvcV7dT3z1d0/80ZDa2sr+fm9L08ZiowK7Px+P0ceeSQvvPCCt8bOtm1eeOEFrrnmmtEdnBAD0L3YIWHZbNm+h9c3bmf554/lsMrCflssdD3AaEqhK0XlxFwc4BcvbaB2Rzt1zW2cfUwV79a5fb9SC8KNXkr/DV3jylNn0ZHoXIea+tIb8OkoTL506mxuf3zVgDq4a5qbZ9sR35F2ek1HA4s2LKIqMI2FUxbz079t4pKTZnBtiZtN9+kaulI4yiHHyCHHdHe6ADcIyAn5MJIZ9unFeZx77FRmlOTz3WffIRI3vR57z75Zy2EVRf1uL3RYZRG7WmIU5Ok8VP8Q6/fUYNnutm0hv07UjuIj4GbKHJ1sPZuvV97mrUerTwaiDg6mYyYbOLsZxZRQ8iCiaVARKkfXFU7yOKUAFVSUJhskp+LJoF9nT8TNLNXsaMOyHTZua+XDB5V4WQ43w5F8Xhw3K5gqarn4xCpM280MapoiYOhce+bBbGnqoGZHW5+vX189EFPFIEY/O5ykqlFT1cDe41Mqua7N5qlXqtOCOoBowuKpVzczvSSfJ/69gaNmTOpzT0+/Tydh2zS3xcgJuVu1acqhPVlxnWpzMyEnQG1ze1pboO5Nxo+ZMRnbdtjQ2IpSbrYvxbIdNjW2YDsO2YHO0w+kPUhHSmrtbo/2Pd179AyQtDsZ5xYtWsSCBQs46qijOOaYY3jggQdob2/3qmSFGMu67vrQdfsjy3b42T/X87XzD2dSXrDXFgt9ZfoODruNbGt3tJEd9PHbVzfzldMP5ZbzjuB3/6mmvrmN2WUTOONw92Bk2W7wkLrduGXx4Nb72dReg22707d+n3vfE7UpLC6/kaBPH1AHd0PX0FGE/Aa+mJa+W0GiiZAewjAUNg5f/+WbTCvJ4+S5ZUwrzuNf72/lmIMmEI/b7lRrcuowlrDwGRqhgE7Qb3DZSbNZt7WFe3+3mpodbZi27X2Y247b3mVv2wsV52eRUDFAeY2ULdsmEnMI+oOEg+X4DI3fr6xle2uUSXlBPnJQCZOLDFIT56kp0s7pXHe8UTvqBWHKUVxfdj0kr2Fjo6F57Ul8mo+ZJXnsaI1i6Bo5QR/RhEnFpBx0TbHgY7OpnJyDRZxwIIzpdDYeNpRBlp5FkVFE1I5x75b7qe6oA9yKwNn5U1kcXszf1riBaP3O9l6nqnyaz2svEU9YrG/czUvvNdLUGqE4L8SHZhczu2wCCietP2IqILRst2mx44CuK7cyOjn9bto9m2Gn9nLdvM2dlt+xJ8oDz6zpNyOsK0V5YTatHXFvWjb1+qba3Oxqi6Fpqsf7NFWZPi+ZHbQch2NnTObtmp1ulbmCSMykYVcHh4QnpGXL+9uD9Kbz5jOndAJ6hgUN+5uhDAJagGw92yv66WooRTb7uktQd2M9Q5txgd1FF13E9u3bue2222hsbGT+/Pk899xzPQoqhBiL0nZ96HJwAjcwMy2HX728Ect20los9Jfp++Znj2FWaT5FuUF2d7Sm9eC66dz5aMoNrLa3RHjwT2uIxq0eGYdGs4Emp85b7GdFbSIJi8pAZ3uDwXRwN3SN7C7ZkK7X0jXFl045hITpZnR27InSuDvCR+dMwTESBPw6hq15YzF0jbZIgohmkjBtLMvmZy+uZ1PTHjTV+RxatuP17tvb9kINze1MKvCzuHwx8RLLC3iUUijHbakR0PxccNw0TMutrmvpiLlTpXayyW/XBrhoyf10IagF3cepdOJOwquIVSju3rKCoBZg4ZTFPPr8Rj4+t4xPHVnJ9tYo0YRFw852Aj4/nzluGiG/TvnEbDY1tjK9LIcl4SVdxuneZ0ALJANJm03RTdTGGtznX9PIibtbuqUaUR9SPgHD59Bh9V2woZSeNm36trWTZ1fXsvTs+ZQUZLGzPeq9b5SjU7+tnd/9ZwvxhEnphBzOObaK6p3t/OPdBizL5tITZ1NcEPLG4ADF+SFyS/KYlBcC5QZKe9vTs2dGRrlNsR34dKrNzfY2coI+Sie41cjxhIXfp2NaNrYySWAm10zCpSdPJW5WeNlp5ejc9os3OevIyrS1pL1tvze7NJ/zj5tGeWEO0YSFbtlj7sC/v/S1bWGpvyz5RdXstzk6uF8kElaC8kB5r0FcX/exN/uyS1BX4yFDm3GBHcA111wjU69iXErb9UG5QY5tuQeN8MQc70CXF0pf7Ntfpu+X/97AHRcdxdnHVHHP06sxkg1W73pyFRUTc7j8pNnouuK2x1/3bi81LTm/aqJ3WnIrUUzHpi2aSCuN0AY5pdHbh7Np2RSpEqJxiz+/vonDqiZSVpjNS+9t5dDKQsKF2SSA8kBZj497M2hTbJRi2w4t7TEuOG4qD/xxDa0dnYGn39A4fGoRmtb7zhqT8oIcUj4BBfzutWqiCYtLPzaLtojJS2sbmZgb4KTDpmAqE9N2iKvkQn2f+0E6MeDDwUZpqVKXLs9Pcgop1Q6i3XL74S3fspzaWC3hYAU3hZexy2om0mFiOTabt+/h969vYcnZ81h27uFYts2utjixhEVZURbbW6PU7GjjyVc287WLDuVbWx6gLlqH40BWwKAyVM71Zdfz3frvsjGykd1sJzfUddrUwdAV/33aQdz+xCo+flgppmP2s8tEGdeVLPQCm1RmzQGe/k81N507n1+t3Mghlfl0WO7U/cQJOpedPBUgedAzKS4M8ObGHbTHTU6aW8Yp88J8UL+bOWUFnP+haZQWZnuXtyyb7IB7mOqaaestY3JYZXpGZnZpPqfMDzNzSj73/m41OUEf00tyueC4aTTsaseyHaZOzmND425KJ/m5e8u91MXrCfo0NE3DsmxipruLyrLKJXzp1IOZNaUg7T3effu92aX5fOX0Q1nX0MK3/rmKXW1xyovG3oF/f+hryj6VsY3H4JG/v89xBxXv9bkYzBaIg7GvAXZ/GdqBrDEeKRkZ2AkxXnXPPASSGYXUlkf1ze1s3dXBRR+Z3vcBppdMX8K0mFM2gaVnz+eva+ppSH3TPDxMcUEW3/nj22njSGVI5lYUpm89pdxsT3bQRyxhoeH2hLrkYzOZUVJAInnA7e8DtLcPbbeHWLJnla2xct02nnmzloWfmsvFH52Jlpxyxu7/A99QBtmaxuT8IMvOns8L79TTuKuDKROyOPmwcmZNKfCC0K7rbSblBbn9c4fj84Gt4lz2yWn4dA2lKSYUBPjslEp8GJiOxX2191Efq0fTlDfdWmQUcUvFLWhdUnVKKSqCFd64svQsOqwOTMekNFCK7djUxmvZGNvo7tGqFEWqGMvv7sRROSmX1o44cdPmd69Vs7s9ynGzS5hbUYiDQ1FukEf+9gEk+3EpByb5JxJQQXRNMdk3GRTUx+vZEN2Q7AmmvMrbNrONmB1H1/1cefJBzJpSQIIYdbF6qqPVqZfbS6c6dK6v7PrlIfUew4EJ2X6iZpwHG++nPl5PWySO7bhfWLKCBkXKnboPBXQ64ia/WbmJa04/lFsvOIKywhzer9vFit+/xbaWCJWTcvjkYeV85fRDefjZd9xMj6b6zZh0zchoShGNmzz9WjWT8oJ86ZSDKS5wFzKalrtm8u0tzTz5yiaWnH8wW6K1bOzYDLj9HHVdAweyMPD7dCom5vSoHO6+/d75x01jXUMLdz31JppSZAd9tNaNvQP//tB1yh7c53htwy5++uJ6bNshmrDY3hrl1Q3b9vpcdL+tsaK3DC3Qb0Z5NKZtJbATYgzpbS3IIeEJnDY/zKzSAv7wn2p3gX+3dSGaUhQXhNi6q4OQX3cbcNpuE9rwxBxM2+GXL23g9PkVLDl7ntveIhlMPPinNaxt6NnMqc81c8otZkhNpwZ8OuVFOfzyX+t5Zf22vU5NdP/QjiVMfvq3tWxscvtcpQ4AAM8mF7r7db3X6/Ym7ktg2XGmh0PMCM/0AhMFmMTwKV/P57h8Aj4f3F//bTa11+IzVHJK1d1nttgoZWl4MZrSqI3WUZeoSTZRdTNw04PTvb1hpwWnoXAbMd8cvjn5+mj4lI+4Hfc66juOQ0dyVwgdd1u2pVMX4uDg1xT/dco09z1hmJz5oSlgadz8sze49GOzmFdViFJQu72NhG2Do3NT5VKyAwHMZPd/RWeQmdr5wb1jd9rXSm6I5jc0ZpdO8LaXi8RMb4eRgE93M3Sp57BLH5yuB7dUNrktauI4bjC5JVpNazThBfo5GLThji3oN0hYEd7ctIO7f7uaWz9zBOsaWnj4uXexbHcK/rX123l1/TZuOe8ILjhuOtGEiaYUb23pP2PStbpRU4rPfHg6hqZYU7OTn764jg2NrRw+bSJf/OTBPLuq1ttzt6tIwiJH04jETeKGhWM7ZPmMHgfk1Bex9liCqZNzKS/KYfmLq7Bth1DQ8DLLe5tKzkSm5RbGbNme3tVwPD8X3TO0XfX2eTla07YS2AkxxnRfC5KqbrUch88eP6PHNz7TsonGTU6ZF+b1jduxbHdXhYRlY6jOTN/KtU0cO3MyFZNyvOtH4ybReM/u7tC5Zq7Xc1XnllK27bD8qVXeB3jqQLv0nHkcFM73Ao3e+JQPy4ZV1c09pkbLi7LJCfmw++mH151p2Zgk+Hbdt6mP1/eYsvXac/iy0p5jQ1NYWpz6eD11iS1YcSetd2BHlpnMWDlE4iam4+7GYTkWlmNhJytfNTQWli/0eu91H0Bqt4UVtStYH13P1kRD8sl0L/hI46O8secNcowcOqJmsvIYirQSloaXYOiKv6yu5cjpE3EcCE/K5e3qZpY99hqVk3O55qzZ3FNzL1vjDUzLCXNt2XVuUYZj45Bs2eKA00tfwvWNuymZ6MO03Z1NbMudQku1w1G4gYz7arj9/hwbjC7Z5KbdHWm7mQT9Om0Rt10MuJlIpcC2HG8ad080juPAs6tqvF1OHNynxLbhj29s4avnH4Ff17ygYKAZE8dx2NUWpa65neW/XUU8uVXd9pYIsYRFzfY9FOb0bHeV+lIUCrjZOk1T+PT0A7FbEGIzr7KIg8sneGXCu9piXr+7VFAL/XxRylCDDYLGg+4Z2q66rzE2LZv1jbt5/q06WiNxWjriIzZtK4GdEGPQYNL1puVO1X3qqEpuOe8InnljC817ohwansCph4eZ3U+mb29tAHRNw6L/RdEJy+6R9bBsh5UfNDGjPGuvPdB0zZ/2YZlafF5WmI2mFIr0A2RfYgnLWy+1rqWa6lh1j4xTV92f4w7LvX9NU0STzWwjcdOt5E2uqk+17YgnbEIBPe1mbWx+3PhjLim5hHtr76UmWuNN1fo0H0EtyARjAovLF7PD3MH2xHb8yo8D+JKtUHYktlMTqyHbzHKb9TqK9phJZcBd2J/lN2jY1YFlO/h1jdPmh3m3didtMZPWSALHcdgSqaXJrsMX1XCwKfeX0xZs66zOTUZNqWli9/Wyeem9Ri44IZz2HKWmXFPPk6a5PfB+99pmapvbKcoJ8uljqphVms/Dz77jTZmnnpdU4+xo3C1A8fvd24lZndO4Rbnu1HHt9jYicdMLJI3kVGhzW8zNEvt04rHEoIIFQ9cozAny3Wff9YI6gN3t7hrAyfmhXht+p6Zcu25L5hVZOKYX9KPcINBMNobONgIcHC7g1XXb3WyfaXmPZzDFRZlgMEHQeDGYtim27VBemMMXP3mwuyRiZztPrtzE2oaW/Z6xlMBOiHHOchxeWb+N6u17OP+4aSw5e57bkkTX0DQ3IOkt0wcDawPg9LOuzQHiMXf6tLum1ggOUB+r77VpaYqudX5YzijJ8xaf/+zF1TTviVI5KXev0xepRc2/Wemul7JxvPV+XgPmQRxHNKWhlPL6zWUFDfw+DSv5ML0AIlVGmdRitWBjUx2t9poFg9stP0fPod3XntwxQuFXfvy6H4CAFkChCGkhcnS3eEDTIBK3cLpMm5cUZFFWlO0FHrPL8rnp3MN58T03cDY0nRm5leSafnxWCIVicXgxUTua3OVDpe1wkao6tByHptbeN+XqegBzn0+DG848zHsvNexs5/t/fhdN07jkY9M616EpUA74NIUv6HPXZ+oafkNnRkkeO/fECE/M4TMfmo6uaUzMD1G/qyNtJxAUlHcJAgYbLKTaADXvieLTO9vr7NgTo2FXO2ceWcnv/1Oddh0FXqa0q+rtrRQV6F6RRcivY9sO7TG3X15FsJzbpt/EKfPC1DV3gOOeZ+jujhXnfahq3E097otM7B030LYpsYTlrd/csr2N8MQczj66ylsvur8zlhLYCTHOpQ5279Xt4q4nV1FelE1+lp+WjjjTi/P4r48fhL+f9Rx7awPQ27o207KxbTcH9NO/v++tieuqOC80oFiq64dlYXaQ9Q1uDzpD1/DpGu/V7drr9EVqUXP3zGHXjFNfYzEtG8u2cbTOprtBv56c4rYwbZsc/wSU4wbLlaEwfl0n4Ndot9oxHYtJvknd7rezj13qd3ADKYWi1F9Ku9WeVnzh4BCxI96UqaYUoYAO6ISCBgGfxhWnTHebGWsJHKXj6AlmloeY1WUt4Q3ha5PNk+GhLd/n2sovsXzLcurjDeQYOTjJbeVS9/u1yq+hK0VxntvIOBwsT399krthlPrLsCyHHz3/Pg5waHgCxx1UwsS8IF85fS7ZAXdtZ4KYV2iRakacei0U7oH9io/PYcHHZruZjOZ2tiaDrPfrdqUF4N2DgKEEC7qmqJyUS1vMTAsan1y5ies/dRj5WT40pagMhjE0Db+R/gWozF+GZTv84fUtXPqJqWyJ1rI5Uk2u7aM9Zno9+gASts3M0lxuv/gw928kuW1fqudknCiO7cOnjb3CgOE23L3jxoq9fV56lbN/XENrR5yEZbOrPca7tTu55bwjOP+4aTz9avV+zVhKYCfEONf9YFfX3E5dczu6prjoI9PdrN0AbmOgH7RdFwRfcNw0jp4xiX+vbeyxzdnxB/e+jV9vUh+WCcvmZ/9aT9BvpAViqTVUh4QLiVtW2nZOADYONg7FBVnoSksLTqJ2lHZ2pt1fNGFiWY477Ro3efHdrZxw2EQiMRPHcTCT21EBTPGXcOuMZaC5DYSXTV2Ije3tNAFuTzrN6fv5SwVrIT1EUAuyJLzEzaIlp0c1NAxlELWjaddqTxZntJltRO0oDzQ8RJO5lSOyD+fSkku5p/ZeNrXVoKtkbz2/TpvZRnmgjGUVy7C0OJZju1W3uAFN1z2wg3qyp56mcdxBxShHZ1nFkrSx+w3dy8IlEsorbqlrbue51XWUF2XzibllnHRoGeu2ulPhhU4xEWX2DJKSU/pNLR38ZuUmdrbFqGt2W5Nck2ya/efVfQcBQwkW+goGNzS20tTSwazSAhzN4tYZN/UZ/FumIjfo7s+bOpArlLuvcXL9K7hrDiNmnPsaVrjrJ7skdlOPf3H54jFZ8bk/DFfvuLGmv8fQ9UtmqqtBqvXU75Jtgc49dv9mbyWwE2KcG8lvxt37OD3x7w185fRDe93mbFaJ2z5jMI8jZrpNeHs7wG7ZvodYwuLRv61lTzTBGYeHOayqCDQbR09w3Vmz3fVqPsWyaTdgO507Pty4cRFNiSbvA/YHf36X92p3Uzohi1PmhznhkCkolaAsUEbQ0clxJuDLcqdJS/zFaGisqF3hbRfWVZm/jMXJitnJvsno6BjKwMBIy9TZ2ESsCHE7joHBQ/UP0RB3GwYXG1O4vvw6tsW3QXKMmpaqZrXd/WpxaEo0sCW2hTJ/KQBNiQavRYeuKXKzfLSYLV7TY5M4Srl72GrJytvufMrdjm126QTWNuxi5QdN3q4Sxx9cwqySbHy6e4Da0LSTnW3pr+nWXR0cO3Mya7Y08/N/refWC+ezpKJz6r5rYJi6v4qJAT45r5xn36wlPyuBrmns2BNl/tQiDqvsPwgYbLDQ39/HtMl5+Aw3K+rH3+v1E3aCuBPjguMr8PkUoaBBCB1wvC3MWiPJAiHlFmxs3FPDNuqIxJPBrTa4pQCZJBMCuYGyLNv7cg3uGtNUayjLdti6qx2frjG7tEACOyFE/0bqm7Fl26z8oMnLfHTdxaK3bc56WXrXr77WUCUsm8LcIJbtsLZhN/U723m3dif/96UT0HxuU93aaB2xuEVWyCBidWA5NuFgmGXhpUwPTSeoBSkxSoklLNZvbaU1EqdhV7u7D+8XjmVWWS43Vy3Dr+nomt6lbUjnHrCd/d1S04udgZuhDC6efDGGZrjbIRk9t0NKVafa2DTEG6iOVpOwbPZocWwsyoNhss0cYnGLoF+n3WrHcizCyUIH1XU1P26mLVWc0LmVmBtYpnaeuK/2PgJagGJ/MQuKF+AjgGV39tVSyQxewKdzcHkhs6YU9PoeMnQ3+OseIJ37oSqCfoNnV9XSuDvC7Y+vIthl6n96cR6XfXw2AV+Xw43GPr1fB/ve3pe/j4ST4J7aezFtm2XTbqDNbKPFbEnuZ6qRref0iNn8Pg075rhFIAdwUHcgiSW32ysvzGFCjp+GXe0Ek8VbqUKgmckG1+6Xif1HAjshMsRwBXIJO0GijxYljgZfOGk66xtbvHV1qV0sDiorSNvmLKWvitreTu9t2swBEqbNp49ObQ21B3Cb4aYqZje21dBku20wjKjy1nPlmjmEtBBLw0uxcYglLGxLI56MOC3bYXJ+iMriLCxlonCwlY3tWMTtuLd3a5aeRUiFaDFb0JVOjp7jFUF0FiBY/GLbL7ho8kWU+cu8goWuum+T5ADRuEW7EQEUy8JLCWpBEqaNz9CI2bEue81CxE4vcEiYNpqCnKDhjSRHzyFbz3b74oWXpq3105XBe7U7+d1rW3rtq7W391BvAZJP14ialletGvDp5CXXeNY1t9MaSfAF26F7U5GRzuTsy/01mQ1E4ia247433GbPoJThtYHRlLuNmU/pVIbK07YeSykyivblIYgxqutMxrJz53PWUVWsqdlJWzThFW/puuKMI8K9vi+GmwR2Qog0CSex122lgr0UY2iq586Og90aqLdps9JCdw3XzCn53P30Ku+yBdkBHMdJbvhu0x4zCfl1cJRXUZkakWb7iCdsvvWbt2hqjbCjNer1Gisvysbw2T2mWt3CCJOpwancWnmr23MPi56P0uXgUBurBWBxuP/HHLEitJmR5Ho+m4ZYI1euuYZZ2TP5atUyfvtyA+d+uIyHtj5EbaweXVNE7AhNiaa029J1aGtNoGnKW+NoO2D73WAupIe8y5qWzXu1O7nn6bf2aTuk3gIk3bL50MzJHDljEmWF2V6RQv3Odt7YsH1ctrboytC1ZIW08rKnqOROJ3o2BBVl/jKv39+1ZdemBeQpOnqf7x8xflm2zft1u5kyIYsnV27iK8n1or/7TzVbd7Uzc0oBZ4xg0YgEdkKIHvprUWKk2qh00VdV4lC2BuqtQXPtjjbufnoV79bu8i63qz3mZs2SQzEtmz0Rt8GtptwfJ7mkTOGufUIpmpIb2Nu2Q9BneC1U1kfWsz6yHk3p5OjZtJitWJjo6N6N7O2g3Gw2c8OGGyjyFRHQOnNUxb5iriy5kjfb3uTYvGP5cdOPMWw/VcEqIsqtvE2N07RtmtuiODjUxet5t2UDIX/v/fh0LX0Nj64pQn7dq3rtyu13uKXP5r5z96GvlqFrfObD01ld3cxPX1xN7Y7OFg+f+fD0Ec3M7S8JYt56xZTu6xYNZfC9hu/x2p7XMJ3OdQgKqAhWcFP4ppEcshgBbvUzfOrISj51ZAX1O9v5w3+qOXrmZG46dz6gvL/fkfo7kMBOCDEouubuDfvUK9X7rVCja1YokexD9kH97rTL1DW34zhOj1Ymlu1WyGYHfd7pmqbhOCZnH13Fu7U7sWyHSNwiO2iQ7XcDTxsH07HorMdND4AGmmlpTDSyLrrOm64DmB6cziUll7C6bTXH5R/HlVOu5AtFFn5D81qyeBwd03JbtJT6ymgLJryWI6kRFPuLgc7p7K4jVfQ+zd3fTgDRhIUybDqsjj4fl0/136bjvbpdPPinNXTETCzboa1uF1u272HJp+cxf+rEPq83XjSZTSzauIiQ1pkFLfWXsjS81MuMRqwI73a8y+bo5rTXHxS6kmxdpkl1CPjTm7Ws37qbKROyOfvoKs46uoqHn32H9pjJYZVFXPjhaSO77GDE7kkIkTFml05gydn5+1yo0X09X/cDn6EMlKYzr6qIb37uGJ5bXcvb1c1eNijg07E1i5DfwBfrbEDr7TiRup1kddr8qiK+dr47RVK/s53pxXmcc2yltz6tawawuyn+KUwPTkdXOtl6tjfW3oIoDY0pgSlkae6m8+FAGB8+pgSmYDs2PtvP0//ZxO6OOJ89fga12yP8/Z16tu7qYFJekNMPr8Cv+bihdJHbCw23lUlqaCoZKAxmmru/5r4VRdmYjrnXXUL6yr6als1zq2q9je+79otL7fc72lm7/taOwt4DV6DHVDhAz36Fimw9p8flsvVsAloAQ6Ufdkdjk3ix77p3CEhYNmu2NKf1q7v7t6u56CPTe82g708S2AkhBm3YCjW6rOcrMopYEl6SVmnqTmcmwIBZ4SwOqTiEjmiyqMJxgzgbqAyF0buMJxUAdQ26/IbbQPfIaZOYP3Uitu0k9wDViBNNu15XE30TUSiuKLmCy0suR0PDr6W3xjCUgemY3v0VGoVphQsKhU/zcWbRmW7zEi3OuR+u5Jafvs6Df1zD+cdN47KTZuM47lS0Zdl879n3adjpZtB6rSyFPlt09Ka/5r6pnoN72yWkL12zgcr7H1dfXfaHI9AajP7Wju4tcB1MAVA0btEW6fm4Ypo73d71MY3WJvFi36X61aX+lrq2NvnD69XcdO7h3HTufGZN2b+tTXojgZ0QYlR1DSYsLO6pvYeaaE3PzFiyX1zQ70/uYJAMLm3fXosVUgxdg16Ol/Fe2rLoSqfUV8rtVbe7+0godzcHR6XvKuEFIDZeBi3VIuXe2nu9goyu2chUIHHlyQfx1CvVPPzsu8yvKuLEQ0opLgjxnT+uYW1DizsOTXHhMHzr76+f22B7DnY3lH1B9yXQGqqhBK6DKQBy6Oxl1l2qUW3X37tmfGBoxSxidPS2tCG1jm5XWxyfrjGnbELaF86RIoGdEKKHwWQohltNtIaN0Y3oSidPz/O2pEoJdstaDaVAozfhQBjLsdCU5lY64gaTCtWjYrbrNGwqAOk+jg6rg4a421C4L92ntDVNsampFV3TyM/yD/v6xf76uQ2252BXQ90XdKgZwpE0mPeXu7NH73P5mpa+0KB7xiclVcyyPzeJF/uury8zCihP7uc8GkEdSGAnhOgiYScwlDGotVuZwFAGy8LL0qZOIbnVl2bsNUDrl9OzuMG7316mtGeU5LP0nHle4OVlJofJ/ljDlan7gg7FtOwKd+/hLqep5Old9VfMsr83iRf7bqhfZkZkbKN2z0KIMSfhJPhR44/YldjV4zxv54JR2sC8yCjab1WFCtXrdluprcD2RcKy09qRdF871etas+QxwQI05es8YQzL1H1BB8OnfCyrXIJlO+7Uq9thByO5I0vXL0VDmb4WY8dY/jIjgZ0QIs277e/2Oj1WFaji0uJLR35AuH3gUoUVfbXk6G+x/UAW6ndt5ttVfy1A9sa0bNqjCRzcqTjbcdusWKHOYHE01pr1ZV+n4A+0QK671LStmdzjt7+s61jO+IiBGatfZiSwE0KMqlTQUOovRUNDVzq60tG6ZKlCWsgrRmiIN/R6G/0FQKMVPMVM2wvqcoM+bx42tQ4rarnVuHWxOrZEt4zqnqKD3SVkPBqptaMDObiP5YyPcA2oclv3jbnXSgI7IcSo6RpMpCpJZ4VmecULqanXUn8pCkV9vH7Ia91GcqF+wrRwFJT5SzFDNrpSZIUMIlYHlmMzwZhA1I7yxLYnuGjyRXRYHTg4o9rAdriKUAZjJIt0xmLgOlYzPsI1lrLpgyGBnRBi1HQPJhJ2giXhJT0ulwr6Rivw6S3QcHAo9ZcC7o4DXVugaOgYGCyrXOr2y1OKgF8jakexHRuSa/dq47XY2GnXPVCMdKC1vwPXoTYalkBuYEarkfN4qNzuTgI7IcSY0d/Bd1/Wuu2LvgKQmB3DwSFmx7i39l6azWYASv1lXFeykN0tNrs7Evzwr+9TUhDi2jMP4ltbHqA+VkfIb5Ag1ue6vgPBaGQIh2Ig03G2pUmj4f1IGjkPjgR2Qog0o9HDbiAHz9HSWwASsSI8WP8gDfEGInYkbaupVO7t1fXb+OS8MJ//6ExeXd+Ejc3WeAONdh2+hAYKqvSqtNt1urW4SGXyIlYEQxmjVpF8IBvIdNzmxog0Gt5PRrORs0J5WXmgx9/6WCWBnRDCM1rrkPZ28FxS3nN6dn/qL9BMTQs3xBuojlb3Mo3q4PdpnHbUFBQORbkBrvjEQRg+i6yAu6dt9xnlcCBMtp5NzI5hOqZ3eqFRSNSO8qvtv+LS4kvHRYYrE+1tOu6l9xoPyEbDIzE9OpKNnHv7u7+27Nq0lkeLNi4a88GdBHZCCM9oTo8NZC3LvmQTB3Pd/gLNw3MO99q+ODi0WW1pH/ztVjtRO8pPtv6SS0su5ZEXPqC4IIv/OnVacn1dp4gdAWBpeClBLUjMjmGRvgWEjU1NtGavj0+MDgdoao30el4mNxoeqenRkWzk3P3v3sGh3WrHciwqghUsDS8lpI395RMS2AkhxoV9ySYO5bp9BZpdp2bADbwspzMYsxwLB4ddzg40pcgJ+cgJGBiaRkUw3GPP1/tq76MiWMGC4gU8vu1xVrevTjs/YkfGxcHkQKWA4rwQ77O7x3mZ2mh4JKdHh6OR82Ayi3Wxeqqj1SjSv7ilWjCl/v5HYnvFoZLATggx5jk4+5RNHI1MZGqXicVnz0NHoXSHxeG+g0td6dTGavtsDj2ejFYF42g5/uAS/vVB4wHTaHgkp0f3tZHzQDOL8YSFhUMkZtLaEcfQNbICBjl6DgDZejZBLcjS8FJv+cVY7e0ogZ0QQgxCgV4AuN/YUzthdF1nVx4oT7t8lr/zw9/fT3AZsSJeZe14lukVjMW+Yi+DmuqvOKukgJvPm89L7zVS09xO0KcPudHwgJrijnIRzUhOj+5LI+eBZhZNy2Z9425KJvowbRvbcYibFpZtk5XMtqdaLY2HSnYJ7IQYIePhA1v0r9hXzGUll2Eow5va7a0HXcyOEbNjg7rtTOhlN5oVjPtTatqtyCjytraDzkKahBZjammIqaVTMZSBY2roQ8xSjoemuCO9z+1QGzkPNLNoWjYvvdfIBSeEe1wuGrfIDo6v96wEdkKMkPHwgT2aRqPNymCFtBAWFt9r+B67zd2AuwYutcZuin8Kl5dczoraFTSbzSjUoAL6kXwO9scXjZGcohspve2Ocm/tvdTH673TUlJ/x1n+rH26z7HeFHc09rkdynT+QDOLluP0WQDT/b08HkhgJ8QIGusf2KNlLG731FswlZp6e7fjXbbEtuA46VWx04PTuYzLCGgB7/oDDej35TkYypq2/fFFYySn6EZK9/WZEcsNALrvghKxI70+l5koNT2amn5uao1QnBfi+INLmFVSMGaC94FmFnWlKM5zp1jDwfSlFIamEQoYY+oL5t5IYCeEGHVjbReCvoKs7lubKZS3uBp6LrA2lEHCSQwooB/qc7Ava9qG+4vGSE/R7avBZC27XrZ7b7OU+2rv2z8DHYM03famnx06WzMmiJGwxsbSkoFmFg1d47iDilGOzrKK9J6ZfkNH19xHN1aLJbqTwE4IIboZ8NZmKj1z09sC64TVd+Cwr8bamrbRmKLbF4PJWqYuWxer83qbpaR6nAW0wIiNfbSNh6UlAy28MHSN2aUTWNuwi5UfNHXLQGbj08dX0Y8EdkIIMcxS2Z1UoOfgpG0XptyIcJ+NtTVtvR1IDymfwMcPKx1TU3RdDSZrWZ/scdZqtaYFduPNcK2vHA9LS7oWXtiOg64pdK3nUoWAT+fg8kJmTSkY9216JLATQhwwRqoy2XRMVtStwHEcri27lnarnVarFQANjRw9p8caraEYi2vauh9IDZ+D6ZjeFF13Y2HKbqzZ30U04yHbNpxSAZr79x/HAuJ9vBeD/vH/uCWwE2IEjYfKz+E2ltq8DNcBbSCvY+o+UjtTeBmeYVxmNlbXtHXNdHRYHRkXRGik7/eb2pWg2F+8z7c9UoVE4yHbNtwOlIBWAjshRshYrPwcCWPtw3RfD2gDeR1Nx0w7rSJY4f1bVzrZejYKtc8Bffc1bZPyggR9OpqmOO9DVXudRtpbgBqxIn321xtMQJ5JQUT3ghnoLJpZULwAQ+3bYXWsFRJlmkx6L/ZFAjshRshwfGCPpezXYGTSh+lAXsdUwUTEdltjLA0v9c7T0Ahqwc7b24eAvuuatpUfNPGFk6aDZmHoGrqmiBNNm3Lq+v7wKR9Lypf0cctgKIOfb/s5K1tX9jgvk7Ibg6Z6tjoZT7sSiMwngZ0Q48hYy36J/jUlmli0cZG3BRW4vfCWhpcOWxCQWtM2t6IQU4uzovZ+GuJ7f3/4NB/Y9PlFIeEkOLvobP62+280JZqGZaxj0WCWRxyISyn6I8/H2CSBnRDjTCZlvw4EvQVFw719WGpNm2XFaYgP/P3R3xeFUn8p15ZdmxaUZprBLI84UJdS9EWej7FLAjshhNgPxks2o68vCpmwd+3eDGZ5RKatfdvX92emPR+ZRAI7IcQBZSQCLslmpBsvQe6B4kB+fx4I70UJ7IQQ+11fH5ql/lKg9+rL/VEIMlIHNMlmdDqQg4ix6kB9fx4o70UJ7IQQ+1V/H6YxO0bMjnFv7b00m83e6furEGQ8H9BMy8a07BHtiq9QXvDd1WCyG+P5OReZ5UB5L0pgJ8Q4M96mEvr6MI1YER6sf5CN0Y0ZXXU5HGIJizU1zT32u5xbUUTAl76P5XC9PxSKgBZgaXhpr+vtxlN2YzSCYiFGiwR2QowjmTSV4ODQEG+QoG4vTMtmTU0zDzyzxtsTtqUjztqG3dxw5lzmV030gpShvD/2FgiO995sgwmKhcgEEtgJMY4cKFMJopNp2Tz7Zq0X1KVYtsOzb9ZyaLiwM7Dby/sjYSfosDoANyNnKCNjvij0ZjBBsRCZIqMCu6qqKrZs2ZJ22vLly7nppptGaURCCLFvLMehfmd7r+fV72zHcgbelqR737oio4iAFgCg2F/MguIF4z5D19VggmIhMkVGBXYAd955J1dddZX3e25u7iiORggh9o2uFGWF2bR0xHucV1aYja5UL9fqW9e+dV3711UFqri0+NJ9GeqYM5xBsRDjRcYFdrm5uZSUlIz2MIQQAzDeCkFGg6FrnH5EmLUNu9MyT7qmOP2IsGSc+jHcQbEYu6RAplPGBXbf+ta3+MY3vkFFRQUXX3wxCxcuxDD6fpixWIxYLOb93traOhLDFOKAl0mFIPuToWvMrSjihjPn9igAOKyi6IA9eA2EBMUHBimQSZdRgd11113HEUccQWFhIS+//DI333wzW7du5b777uvzOsuXL+eOO+4YwVEKIUAKQQYj4NOZXzWRQ8OFkpEYBAmKM58UyPSkHGdsLzK46aabuPvuu/u9zPvvv89BBx3U4/RHHnmEL37xi7S1tREIBHq9bm8Zu3A4TEtLC3l5efs2eCGEGEM6rA4WblzY696wVYEq7p9+P1l61sgPbD+TabrMFY2b3Pu7t3ivbleP8w4un8CSs+cR9I/tHFZrayv5+fnDFneM7UcL3HjjjVx22WX9XmbatGm9nn7sscdimibV1dXMnj2718sEAoE+gz4hhMg0B+K6RgnkMpcUyPQ05gO7SZMmMWnSpCFdd/Xq1WiaxuTJk4d5VEIIMf7IukaRaQxNcXhVERubWokmLLa3Rr3zDtQCmTEf2A3UypUrefXVVznppJPIzc1l5cqVLFy4kC984QtMmDBhtIcnhBCjTtY1ivEsYSdIOIn0EzW4+ONVxE0LZevc/vgqtrdGD+gCmYwJ7AKBAI8//ji33347sViMqVOnsnDhQhYtWjTaQxNCCCHEPureYLurEqOUG0oXMTEvyKS80AFdIJMxgd0RRxzBK6+8MtrDEEIIIcR+0rXBdncBn87is+ehcWAXyGRMYCeEEHvT61ROFz7lw6fJVKUQY5FCUeovTTstYkdoSjR5v2f55e9XAjshxAGjv6mcskAZi8sXyxo0IcaQ7l/Gri27Fhs77TKLNsqSq64ksBNCHFD6m8oRQowtXb+MOTi0W+1YjgVARbCCpeGlhLTQKI9ybJHATgghhBBjVurLmOM4tFqtXmAneieBnRBCCCHGBQ0Nkq3pdKWjoVHqL0UdgP3q+iKBnRBCCCHGPIUiR8/xfs/WswlqQZaGl+LgSIPtJAnshBBCCDFs9lv1uXKDu85f3X+HdFlj15UEdkKIA8qBuFeqGFkHelsdqT4fXRLYCSEOGLJXqhgJEtgMb/W5fBkbHAnshBAHDNkrVYwUaaszPOTL2OBJYCeEEEKIMUm+jA3egbmRmhBCCCFEBpLATgghhBAiQ8hUrBBCCCGGlRQ8jB4J7IQQQohhdiAHNlLwMLoksBNCCCGG0YEe2EjBw+iSwE4IIYQYRhLYiNEkxRNCCCGEEBlCAjshhBBCiAwhgZ0QQgghRIaQwE4IIYQQIkNIYCeEEEIIkSEksBNCCCGEyBAS2AkhhBBCZAgJ7IQQQgghMoQEdkIIIYQQGUICOyGEEEKIDCGBnRBCCCFEhpDATgghhBAiQ0hgJ4QQQgiRIYzRHoAQQgghxr+EnSDhJPo836d8+DTfCI7owCSBnRBCCCH2WcJJsKJuBfWx+h7nlQXKWFy+GB8S2O1vEtgJIYQQYljUx+qpjlWP9jAOaLLGTgghhBAiQ0hgJ4QQQgiRISSwE0IIIYTIELLGTgghhBCD0r0CVqEAcHBwHMf9XY3W6A5sEtgJIYQQYlC6V8CW+ku5tuxaCo1COnwdZOlZXrAHblWsGBkS2AkhhBBiwBK2m6mri9VRHa0GIGJFsLFZHF6MhkZQC/a4nk9Jq5ORIIGdEEIIIQbMdExidox2q51WqxWAVquVq9ZdRbb2/9u7+6io6vwP4O8LzIwDOKCCAvKQHBRiRVtsZcfNNVcSSzmmm3LSDThtdTI64VOKe3Z92iVYXdtyt+NDm5JtJ90e0NV82MkQ84mUwPAhVv2p4xZIWYKiwDDz+f1h3hpBwhxm4Pp+nTPnMN/vnXs/83Gyt3fu9+KH/sb+mBMxB0Zvo4crvTMx2BEREdEtEQjsYodd7OrY/xr/B2/FG77evhCIB6u7s3FVLBEREbVLs92h/szo1jkx2BEREdEParTZUfnFN2hqdlw7IyfCM3OdEL+KJSIiojY12x2osF7AO/v/DzmPDAQARHSLvDapfHe7E2/FG331XAHrSQx2RERE1KZmuwPbPjkHh+PaWToFCuZGzPl2VoHy7Z1Nrq+I5QpYz2GwIyIiojbZRfD51/UwGXVwiGD1ubX4xnYRwLVruoyGa3Gij74PMvpkQOfFYOcpDHZERETUJm9FQd+efviy7ioUhzeeCn1SnfNSFBh03upzH4XRwpPYfSIiImqTj7cXHkyMwEtbKrBwfRm6fRvkvLwUPDaiP2LDesDHm+sxOwP+KRAREVGbfLy9kBDZC9PHJSDYZETdVRu6G/V4xByN/iGBDHWdSJc5Y5ebm4v3338f5eXl0Ov1uHjxYottrFYrpk2bhqKiIvj7+yMjIwN5eXnw8ekyb5OIiKhTMui8cc9dQRgY0RN2EXgrCny8vRjqOpkuk3iampowadIkmM1mvPbaay3m7XY7xo4di5CQEOzbtw9VVVVIT0+HTqfDCy+84IGKiYiItIVBrvNTRKRL3V2woKAA06dPb3HGbtu2bRg3bhy++OIL9OnTBwCwcuVKzJ07F19++SX0en279l9XV4eAgADU1tbCZDK5unwiIiIilatzh2Zi9/79+5GQkKCGOgBISUlBXV0djh49etPXNTY2oq6uzulBRERE1BVpJthVV1c7hToA6vPq6uqbvi4vLw8BAQHqIyIiokPrJCIiIuooHg12OTk5UBSlzcdnn33WoTXMmzcPtbW16uPcuXMdejwiIiKijuLRxROzZs1CZmZmm9tER0e3a18hISH4+OOPncbOnz+vzt2MwWCAwWBo1zGIiIiIOjOPBrvg4GAEBwe7ZF9msxm5ubmoqalB7969AQAWiwUmkwnx8fEuOQYRERFRZ9ZlbnditVrx9ddfw2q1wm63o7y8HAAQExMDf39/jB49GvHx8XjsscewZMkSVFdX4/e//z2ysrJ4Ro6IiIjuCF3mdieZmZl4/fXXW4wXFRXh/vvvBwCcPXsW06ZNw65du+Dn54eMjAzk5+ff0g2KebsTIiIichdX544uE+zchcGOiIiI3IX3sSMiIiKiVjHYEREREWkEgx0RERGRRjDYEREREWkEgx0RERGRRjDYEREREWkEgx0RERGRRjDYEREREWlEl/mVYkRERNQ+NocNNrHddF6n6KDz0rmxInIXBjsiIiKNsYkNf/nfX/B54+ct5voa+mJ2+GzowGCnRQx2REREGvR54+c403jG02WQm/EaOyIiIiKNYLAjIiIi0ggGOyIiIiKNYLAjIiIi0gguniAiItKgvoa+tzRO2sBgR0REpDE6RYfZ4bPbnCdtYrAjIiLSGJ2Xjvepu0PxGjsiIiIijWCwIyIiItIIBjsiIiIijWCwIyIiItIIBjsiIiIijWCwIyIiItIIBjsiIiIijWCwIyIiItIIBjsiIiIijWCwIyIiItIIBjsiIiIijWCwIyIiItIIH08X0NmICACgrq7Ow5UQERGR1l3PG9fzx+1isLvBhQsXAAAREREeroSIiIjuFBcuXEBAQMBt74fB7gY9e/YEAFitVpc0mFpXV1eHiIgInDt3DiaTydPlaBb77D7stXuwz+7DXrtHbW0tIiMj1fxxuxjsbuDlde2yw4CAAH6Q3cBkMrHPbsA+uw977R7ss/uw1+5xPX/c9n5cshciIiIi8jgGOyIiIiKNYLC7gcFgwIIFC2AwGDxdiqaxz+7BPrsPe+0e7LP7sNfu4eo+K+Kq9bVERERE5FE8Y0dERESkEQx2RERERBrBYEdERESkEQx238rNzcWwYcPg6+uLwMDAVrexWq0YO3YsfH190bt3bzz//PNobm52b6Ea8Morr+Cuu+5Ct27dkJSUhI8//tjTJXV5u3fvRmpqKsLCwqAoCjZu3Og0LyKYP38+QkNDYTQakZycjBMnTnim2C4sLy8PP/vZz9C9e3f07t0bDz/8MCorK522aWhoQFZWFnr16gV/f3/8+te/xvnz5z1Ucde1YsUKDBo0SL2HmtlsxrZt29R59rlj5OfnQ1EUTJ8+XR1jr11j4cKFUBTF6REXF6fOu6rPDHbfampqwqRJkzBt2rRW5+12O8aOHYumpibs27cPr7/+OgoKCjB//nw3V9q1bdiwATNnzsSCBQvwySefYPDgwUhJSUFNTY2nS+vS6uvrMXjwYLzyyiutzi9ZsgTLly/HypUrUVJSAj8/P6SkpKChocHNlXZtxcXFyMrKwoEDB2CxWGCz2TB69GjU19er28yYMQObN2/G22+/jeLiYnzxxReYOHGiB6vumsLDw5Gfn4/S0lIcOnQIv/rVrzB+/HgcPXoUAPvcEQ4ePIhVq1Zh0KBBTuPstev85Cc/QVVVlfrYs2ePOueyPgs5Wbt2rQQEBLQY37p1q3h5eUl1dbU6tmLFCjGZTNLY2OjGCru2oUOHSlZWlvrcbrdLWFiY5OXlebAqbQEghYWF6nOHwyEhISGydOlSdezixYtiMBjkrbfe8kCF2lFTUyMApLi4WESu9VWn08nbb7+tbnP8+HEBIPv37/dUmZrRo0cP+cc//sE+d4BLly5J//79xWKxyIgRIyQ7O1tE+Jl2pQULFsjgwYNbnXNln3nGrp3279+PhIQE9OnTRx1LSUlBXV2d+i9IaltTUxNKS0uRnJysjnl5eSE5ORn79+/3YGXadvr0aVRXVzv1PSAgAElJSez7baqtrQXw3e+YLi0thc1mc+p1XFwcIiMj2evbYLfbsX79etTX18NsNrPPHSArKwtjx4516inAz7SrnThxAmFhYYiOjsbUqVNhtVoBuLbP/F2x7VRdXe0U6gCoz6urqz1RUpfz1VdfwW63t9rHzz77zENVad/1z2drfedn98dzOByYPn06fvGLX2DgwIEArvVar9e3uE6Xvf5xKioqYDab0dDQAH9/fxQWFiI+Ph7l5eXsswutX78en3zyCQ4ePNhijp9p10lKSkJBQQFiY2NRVVWFRYsWYfjw4Thy5IhL+6zpYJeTk4M///nPbW5z/Phxp4sXiYjaIysrC0eOHHG6RoZcKzY2FuXl5aitrcU777yDjIwMFBcXe7osTTl37hyys7NhsVjQrVs3T5ejaQ8++KD686BBg5CUlISoqCj861//gtFodNlxNB3sZs2ahczMzDa3iY6Obte+QkJCWqzevL5aJSQk5EfVd6cJCgqCt7d3i1U+58+fZw870PXenj9/HqGhoer4+fPncc8993ioqq7t2WefxZYtW7B7926Eh4er4yEhIWhqasLFixed/uXNz/iPo9frERMTAwAYMmQIDh48iJdffhlpaWnss4uUlpaipqYGiYmJ6pjdbsfu3bvx97//HTt27GCvO0hgYCAGDBiAkydP4oEHHnBZnzV9jV1wcDDi4uLafOj1+nbty2w2o6Kiwmn1psVigclkQnx8fEe9BU3R6/UYMmQIdu7cqY45HA7s3LkTZrPZg5VpW79+/RASEuLU97q6OpSUlLDvt0hE8Oyzz6KwsBAffvgh+vXr5zQ/ZMgQ6HQ6p15XVlbCarWy1y7gcDjQ2NjIPrvQqFGjUFFRgfLycvVx7733YurUqerP7HXHuHz5Mk6dOoXQ0FDXfqZvY4GHppw9e1bKyspk0aJF4u/vL2VlZVJWViaXLl0SEZHm5mYZOHCgjB49WsrLy2X79u0SHBws8+bN83DlXcv69evFYDBIQUGBHDt2TJ566ikJDAx0Wm1Mt+7SpUvqZxaAvPjii1JWViZnz54VEZH8/HwJDAyUTZs2yaeffirjx4+Xfv36ydWrVz1cedcybdo0CQgIkF27dklVVZX6uHLlirrN008/LZGRkfLhhx/KoUOHxGw2i9ls9mDVXVNOTo4UFxfL6dOn5dNPP5WcnBxRFEX+85//iAj73JG+vypWhL12lVmzZsmuXbvk9OnTsnfvXklOTpagoCCpqakREdf1mcHuWxkZGQKgxaOoqEjd5syZM/Lggw+K0WiUoKAgmTVrlthsNs8V3UX97W9/k8jISNHr9TJ06FA5cOCAp0vq8oqKilr9/GZkZIjItVue/OEPf5A+ffqIwWCQUaNGSWVlpWeL7oJa6zEAWbt2rbrN1atX5ZlnnpEePXqIr6+vTJgwQaqqqjxXdBf1+OOPS1RUlOj1egkODpZRo0apoU6Efe5INwY79to10tLSJDQ0VPR6vfTt21fS0tLk5MmT6ryr+qyIiNzeyUQiIiIi6gw0fY0dERER0Z2EwY6IiIhIIxjsiIiIiDSCwY6IiIhIIxjsiIiIiDSCwY6IiIhIIxjsiIiIiDSCwY6IiIhIIxjsiEhzMjMz8fDDD6vP77//fkyfPt3tdezatQuKouDixYsddowzZ85AURSUl5d32DGIqOtgsCMit8jMzISiKFAUBXq9HjExMVi8eDGam5s7/Njvvfce/vjHP7ZrW3eEMSKijuLj6QKI6M4xZswYrF27Fo2Njdi6dSuysrKg0+kwb968Fts2NTVBr9e75Lg9e/Z0yX6IiDo7nrEjIrcxGAwICQlBVFQUpk2bhuTkZPz73/8G8N3Xp7m5uQgLC0NsbCwA4Ny5c5g8eTICAwPRs2dPjB8/HmfOnFH3abfbMXPmTAQGBqJXr16YM2cObvwV2Dd+FdvY2Ii5c+ciIiICBoMBMTExeO2113DmzBmMHDkSANCjRw8oioLMzEwAgMPhQF5eHvr16wej0YjBgwfjnXfecTrO1q1bMWDAABiNRowcOdKpztZMmTIFaWlpTmM2mw1BQUFYt24dAGD79u2477771Pc3btw4nDp16qb7LCgoQGBgoNPYxo0boSiK09imTZuQmJiIbt26ITo6GosWLVLPnooIFi5ciMjISBgMBoSFheG5555r870QUefAYEdEHmM0GtHU1KQ+37lzJyorK2GxWLBlyxbYbDakpKSge/fu+Oijj7B37174+/tjzJgx6uuWLVuGgoICrFmzBnv27MHXX3+NwsLCNo+bnp6Ot956C8uXL8fx48exatUq+Pv7IyIiAu+++y4AoLKyElVVVXj55ZcBAHl5eVi3bh1WrlyJo0ePYsaMGfjNb36D4uJiANcC6MSJE5Gamory8nI88cQTyMnJabOOqVOnYvPmzbh8+bI6tmPHDly5cgUTJkwAANTX12PmzJk4dOgQdu7cCS8vL0yYMAEOh+MWu/2djz76COnp6cjOzsaxY8ewatUqFBQUIDc3FwDw7rvv4q9//StWrVqFEydOYOPGjUhISPjRxyMiNxIiIjfIyMiQ8ePHi4iIw+EQi8UiBoNBZs+erc736dNHGhsb1de88cYbEhsbKw6HQx1rbGwUo9EoO3bsEBGR0NBQWbJkiTpvs9kkPDxcPZaIyIgRIyQ7O1tERCorKwWAWCyWVussKioSAPLNN9+oYw0NDeLr6yv79u1z2va3v/2tPProoyIiMm/ePImPj3eanzt3bot9fZ/NZpOgoCBZt26dOvboo49KWlpaq9uLiHz55ZcCQCoqKkRE5PTp0wJAysrKRERk7dq1EhAQ4PSawsJC+f5f96NGjZIXXnjBaZs33nhDQkNDRURk2bJlMmDAAGlqarppHUTUOfEaOyJymy1btsDf3x82mw0OhwNTpkzBwoUL1fmEhASn6+oOHz6MkydPonv37k77aWhowKlTp1BbW4uqqiokJSWpcz4+Prj33ntbfB17XXl5Oby9vTFixIh2133y5ElcuXIFDzzwgNN4U1MTfvrTnwIAjh8/7lQHAJjN5jb36+Pjg8mTJ+PNN9/EY489hvr6emzatAnr169Xtzlx4gTmz5+PkpISfPXVV+qZOqvVioEDB7b7PXzf4cOHsXfvXvUMHXDtK+2GhgZcuXIFkyZNwksvvYTo6GiMGTMGDz30EFJTU+Hjw/9lEHV2/K+UiNxm5MiRWLFiBfR6PcLCwloEBT8/P6fnly9fxpAhQ/Dmm2+22FdwcPCPqsFoNN7ya65/Vfr++++jb9++TnMGg+FH1XHd1KlTMWLECNTU1MBiscBoNGLMmDHqfGpqKqKiovDqq68iLCwMDocDAwcOdPoK+/u8vLxahFqbzdbi/SxatAgTJ05s8fpu3bohIiIClZWV+OCDD2CxWPDMM89g6dKlKC4uhk6nu633S0Qdi8GOiNzGz88PMTEx7d4+MTERGzZsQO/evWEymVrdJjQ0FCUlJfjlL38JAGhubkZpaSkSExNb3T4hIQEOhwPFxcVITk5uMX/9jKHdblfH4uPjYTAYYLVab3qm7+6771YXglx34MCBH3yPw4YNQ0REBDZs2IBt27Zh0qRJani6cOECKisr8eqrr2L48OEAgD179rS5v+DgYFy6dAn19fVqUL7xHneJiYmorKxs88/CaDQiNTUVqampyMrKQlxcHCoqKm7aVyLqHBjsiKjTmjp1KpYuXYrx48dj8eLFCA8Px9mzZ/Hee+9hzpw5CA8PR3Z2NvLz89G/f3/ExcXhxRdfbPMedHfddRcyMjLw+OOPY/ny5Rg8eDDOnj2LmpoaTJ48GVFRUVAUBVu2bMFDDz0Eo9GI7t27Y/bs2ZgxYwYcDgfuu+8+1NbWYu/evTCZTMjIyMDTTz+NZcuW4fnnn8cTTzyB0tJSFBQUtOt9TpkyBStXrsR///tfFBUVqeM9evRAr169sHr1aoSGhsJqtf7ggoykpCT4+vrid7/7HZ577jmUlJS0qGP+/PkYN24cIiMj8cgjj8DLywuHDx/GkSNH8Kc//QkFBQWw2+3qvv75z3/CaDQiKiqqXe+HiDzI0xf5EdGd4fuLJ25lvqqqStLT0yUoKEgMBoNER0fLk08+KbW1tSJybQFCdna2mEwmCQwMlJkzZ0p6evpNF0+IiFy9elVmzJghoaGhotfrJSYmRtasWaPOL168WEJCQkRRFMnIyBCRaws+XnrpJYmNjRWdTifBwcGSkpIixcXF6us2b94sMTExYjAYZPjw4bJmzZo2F09cd+zYMQEgUVFRTgtFREQsFovcfffdYjAYZNCgQbJr1y4BIIWFhSLScvGEyLXFEjExMWI0GmXcuHGyevVqufGv++3bt8uwYcPEaDSKyWSSoUOHyurVq9XXJyUliclkEj8/P/n5z38uH3zwQZvvgYg6B0XkJlcYExEREVGXwvvYEREREWkEgx0RERGRRjDYEREREWkEgx0RERGRRjDYEREREWkEgx0RERGRRjDYEREREWkEgx0RERGRRjDYEREREWkEgx0RERGRRjDYEREREWkEgx0RERGRRvw/gof+jASXoVgAAAAASUVORK5CYII=\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 }