{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "Ih7tCcFS-mkB" }, "source": [ "# 머신 러닝 교과서 3판" ] }, { "cell_type": "markdown", "metadata": { "id": "5x5TUk5I-mkG" }, "source": [ "# 3장 - 사이킷런을 타고 떠나는 머신 러닝 분류 모델 투어" ] }, { "cell_type": "markdown", "metadata": { "id": "r074jcW_-mkG" }, "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": "4CBRoH17-mkG" }, "source": [ "### 목차" ] }, { "cell_type": "markdown", "metadata": { "id": "F6mBg1Gu-mkH" }, "source": [ "- 사이킷런 첫걸음: 퍼셉트론 훈련\n", "- 로지스틱 회귀를 사용한 클래스 확률 모델링\n", " - 로지스틱 회귀의 이해와 조건부 확률\n", " - 로지스틱 비용 함수의 가중치 학습\n", " - 아달린 구현을 로지스틱 회귀 알고리즘으로 변경\n", " - 사이킷런을 사용하여 로지스틱 회귀 모델 훈련\n", " - 규제를 사용하여 과대적합 피하기\n", "- 서포트 벡터 머신을 사용한 최대 마진 분류\n", " - 최대 마진\n", " - 슬랙 변수를 사용하여 비선형 분류 문제 다루기\n", " - 사이킷런의 다른 구현\n", "- 커널 SVM을 사용하여 비선형 문제 풀기\n", " - 선형적으로 구분되지 않는 데이터를 위한 커널 방법\n", " - 커널 기법을 사용하여 고차원 공간에서 분할 초평면 찾기\n", "- 결정 트리 학습\n", " - 정보 이득 최대화: 자원을 최대로 활용\n", " - 결정 트리 만들기\n", " - 랜덤 포레스트로 여러 개의 결정 트리 연결\n", "- k-최근접 이웃: 게으른 학습 알고리즘" ] }, { "cell_type": "markdown", "metadata": { "id": "JYwHDME9-mkH" }, "source": [ "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-10-23T05:54:39.428720Z", "iopub.status.busy": "2021-10-23T05:54:39.428051Z", "iopub.status.idle": "2021-10-23T05:54:39.431787Z", "shell.execute_reply": "2021-10-23T05:54:39.431179Z" }, "id": "r3YFXFnc-mkH" }, "outputs": [], "source": [ "from IPython.display import Image" ] }, { "cell_type": "markdown", "metadata": { "id": "1Nk5oXw7-mkI" }, "source": [ "# 3.2 사이킷런 첫걸음" ] }, { "cell_type": "markdown", "metadata": { "id": "UC_Th7s6-mkI" }, "source": [ "사이킷런에서 붓꽃 데이터셋을 적재합니다. 세 번째 열은 꽃잎의 길이이고 네 번째 열은 꽃잎의 너비입니다. 클래스는 이미 정수 레이블로 변환되어 있습니다. 0=Iris-Setosa, 1=Iris-Versicolor, 2=Iris-Virginica 입니다." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:39.439094Z", "iopub.status.busy": "2021-10-23T05:54:39.437478Z", "iopub.status.idle": "2021-10-23T05:54:40.011616Z", "shell.execute_reply": "2021-10-23T05:54:40.012243Z" }, "id": "8gzR16lQ-mkI", "outputId": "4384c46d-38e3-4654-f46d-f9eba93e3d61" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "클래스 레이블: [0 1 2]\n" ] } ], "source": [ "from sklearn import datasets\n", "import numpy as np\n", "\n", "iris = datasets.load_iris()\n", "X = iris.data[:, [2, 3]]\n", "y = iris.target\n", "\n", "print('클래스 레이블:', np.unique(y))" ] }, { "cell_type": "markdown", "metadata": { "id": "PAYFPzoh-mkJ" }, "source": [ "70%는 훈련 데이터 30%는 테스트 데이터로 분할합니다(계층화):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-10-23T05:54:40.016987Z", "iopub.status.busy": "2021-10-23T05:54:40.016143Z", "iopub.status.idle": "2021-10-23T05:54:40.031965Z", "shell.execute_reply": "2021-10-23T05:54:40.032481Z" }, "id": "PdCuhhzK-mkJ" }, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.3, random_state=1, stratify=y)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.037235Z", "iopub.status.busy": "2021-10-23T05:54:40.035711Z", "iopub.status.idle": "2021-10-23T05:54:40.043949Z", "shell.execute_reply": "2021-10-23T05:54:40.044425Z" }, "id": "uRHHQ2fj-mkJ", "outputId": "a4b50d66-1b53-48ea-edb6-737532a1adb0" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "y의 레이블 카운트: [50 50 50]\n", "y_train의 레이블 카운트: [35 35 35]\n", "y_test의 레이블 카운트: [15 15 15]\n" ] } ], "source": [ "print('y의 레이블 카운트:', np.bincount(y))\n", "print('y_train의 레이블 카운트:', np.bincount(y_train))\n", "print('y_test의 레이블 카운트:', np.bincount(y_test))" ] }, { "cell_type": "markdown", "metadata": { "id": "YBvIdDMK-mkJ" }, "source": [ "특성을 표준화합니다:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-10-23T05:54:40.050086Z", "iopub.status.busy": "2021-10-23T05:54:40.048773Z", "iopub.status.idle": "2021-10-23T05:54:40.054181Z", "shell.execute_reply": "2021-10-23T05:54:40.054706Z" }, "id": "EYMGtmxg-mkJ" }, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", "sc = StandardScaler()\n", "sc.fit(X_train)\n", "X_train_std = sc.transform(X_train)\n", "X_test_std = sc.transform(X_test)" ] }, { "cell_type": "markdown", "metadata": { "id": "8t32hWpQM_84" }, "source": [ "`Perceptron`은 `SGDClassifier(loss='perceptron')`과 거의 비슷합니다.\n", "\n", "퍼셉트론 손실 : $J(\\boldsymbol{w})=\\begin{cases}-z^{(i)}y^{(i)}&z^{(i)}y^{(i)}\\le0\\mbox{ 일 때} \\\\ 0&\\mbox{그 외}\\end{cases}$\n", "$\\;\\;\\;\\;\\;$\n", "\n", "그레이디언트 : $\\mathit\\Delta \\boldsymbol{w}=\\begin{cases}-\\eta y^{(i)}\\boldsymbol{x}^{(i)}&z^{(i)}y^{(i)}\\le0\\mbox{ 일 때} \\\\ 0&\\mbox{그 외}\\end{cases}$\n", "$\\;\\;\\;\\;\\;$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 75 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.060774Z", "iopub.status.busy": "2021-10-23T05:54:40.059928Z", "iopub.status.idle": "2021-10-23T05:54:40.093559Z", "shell.execute_reply": "2021-10-23T05:54:40.094086Z" }, "id": "ctcSdny3-mkK", "outputId": "8aa80472-f993-475c-8b31-372756d5cd56" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Perceptron(eta0=0.1, random_state=1)" ], "text/html": [ "
Perceptron(eta0=0.1, random_state=1)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" ] }, "metadata": {}, "execution_count": 6 } ], "source": [ "from sklearn.linear_model import Perceptron\n", "\n", "ppn = Perceptron(eta0=0.1, random_state=1)\n", "ppn.fit(X_train_std, y_train)" ] }, { "cell_type": "markdown", "metadata": { "id": "t4ZgQcYJ-mkK" }, "source": [ "**노트**\n", "\n", "- 사이킷런 0.19부터 `Perceptron`과 `SGDClassifier`의 반복 횟수를 지정하는 매개변수가 `n_iter`에서 `max_iter`로 변경되었습니다." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.100762Z", "iopub.status.busy": "2021-10-23T05:54:40.099710Z", "iopub.status.idle": "2021-10-23T05:54:40.102841Z", "shell.execute_reply": "2021-10-23T05:54:40.103292Z" }, "id": "EGRBNK3l-mkK", "outputId": "503b164b-3fc5-4c93-f08c-e49270499f97" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "잘못 분류된 샘플 개수: 1\n" ] } ], "source": [ "y_pred = ppn.predict(X_test_std)\n", "print('잘못 분류된 샘플 개수: %d' % (y_test != y_pred).sum())" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.107134Z", "iopub.status.busy": "2021-10-23T05:54:40.106180Z", "iopub.status.idle": "2021-10-23T05:54:40.110895Z", "shell.execute_reply": "2021-10-23T05:54:40.111307Z" }, "id": "bQjr1zdm-mkK", "outputId": "cec26874-186a-4a60-bc41-09e9d17b5f47" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "정확도: 0.978\n" ] } ], "source": [ "from sklearn.metrics import accuracy_score\n", "\n", "print('정확도: %.3f' % accuracy_score(y_test, y_pred))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.117692Z", "iopub.status.busy": "2021-10-23T05:54:40.116943Z", "iopub.status.idle": "2021-10-23T05:54:40.119990Z", "shell.execute_reply": "2021-10-23T05:54:40.120436Z" }, "id": "p6CVcIX6-mkL", "outputId": "39fa6a6d-adfd-4621-f142-7681f9ba1176" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "정확도: 0.978\n" ] } ], "source": [ "print('정확도: %.3f' % ppn.score(X_test_std, y_test))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-10-23T05:54:40.133980Z", "iopub.status.busy": "2021-10-23T05:54:40.132751Z", "iopub.status.idle": "2021-10-23T05:54:40.382677Z", "shell.execute_reply": "2021-10-23T05:54:40.383139Z" }, "id": "hQVDNbpR-mkL" }, "outputs": [], "source": [ "from matplotlib.colors import ListedColormap\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "def plot_decision_regions(X, y, classifier, test_idx=None, resolution=0.02):\n", "\n", " # 마커와 컬러맵을 설정합니다.\n", " markers = ('s', 'x', 'o', '^', 'v')\n", " colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan')\n", " cmap = ListedColormap(colors[:len(np.unique(y))])\n", "\n", " # 결정 경계를 그립니다.\n", " x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", " x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", " xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution),\n", " np.arange(x2_min, x2_max, resolution))\n", " Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n", " Z = Z.reshape(xx1.shape)\n", " plt.contourf(xx1, xx2, Z, alpha=0.3, cmap=cmap)\n", " plt.xlim(xx1.min(), xx1.max())\n", " plt.ylim(xx2.min(), xx2.max())\n", "\n", " for idx, cl in enumerate(np.unique(y)):\n", " plt.scatter(x=X[y == cl, 0],\n", " y=X[y == cl, 1],\n", " alpha=0.8,\n", " c=colors[idx],\n", " marker=markers[idx],\n", " label=cl,\n", " edgecolor=None if idx==1 else 'black')\n", "\n", " # 테스트 샘플을 부각하여 그립니다.\n", " if test_idx:\n", " # 모든 샘플을 그립니다.\n", " X_test, y_test = X[test_idx, :], y[test_idx]\n", "\n", " plt.scatter(X_test[:, 0],\n", " X_test[:, 1],\n", " facecolor='none',\n", " edgecolor='black',\n", " alpha=1.0,\n", " linewidth=1,\n", " marker='o',\n", " s=100,\n", " label='test set')" ] }, { "cell_type": "markdown", "metadata": { "id": "dcYl3UeU-mkL" }, "source": [ "모델이 찾은 결정 경계와 산점도:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.389585Z", "iopub.status.busy": "2021-10-23T05:54:40.386215Z", "iopub.status.idle": "2021-10-23T05:54:40.656884Z", "shell.execute_reply": "2021-10-23T05:54:40.657515Z" }, "id": "NtZqrdym-mkL", "outputId": "6534cd23-826e-4aaf-c396-d75c9ed55557" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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1S9ewZMYS+g7uyzfTv8HMTP4pFMWH/GkWojBp1Iixfn5MOvQStCvoYIQoerRaLSM/HMn29dsZMWkEvf/XG1s72yznjJwykrVL1zL92+lEhEUwe9VsqV4gig1J7IQojOJi8T9hjlOLENktK4QBVi9czda1W5nrO5fO73QG9MnexbMXiQqPwtnVmRp1a/DhFx9SumxphvYcSp2X6vDB5x88deycxlEqlbkeF6IgSGJnJImJiazfvJmfV6/mRmAgaWlpuJYowdtvvMH/BgzA28uroEMURUX6rJ0syQphEI1Gw8r5K+naq2tGUnf8wHGWz1/OvXv30KJFiRJPT08GDh1Ip+6d6N6nOyt+WkG/T/uhUqlyHTu3cZq0bMLJIydzHL9Z22b5detCZJAfKYzg1/XrKV29Oh9+9hlOjo58NmgQo4cNo13Lliz4+Wd86tZl4NChpKSkGP3abTp3ZtjXXxt1zP6DB9O1Vy+jjvm4wKAgFM7OnL1wwaTXKbKkx6wQBju89zDBgcH0+V8fQJ+MTflmCpZlLen9U29G7BxB7596Y1nWkinfTOH4geP0/l9v7gXd48CuA7mOm9s4ilIKFs5cSLwqPtfxhchvktg9pwXLltH3k0/o/OqrXD99ml0bN/LtiBGM/PxzFs+ezd1Ll5g7dSprNm6ky/vvk5qaWtAhiyJEeswKkXfH9h3D28ebOg3roNVqWT5/OWWblKXH5B541fDC0sYSrxpe9Jjcg7JNyrJ8/nJq1quJTyUfju47muOYuY5T3YuWg1pS/dXqpKWmUbpa6RzHlxIrIr9JYvccjhw/ztBRoxj2ySesXryY8uXKZTvHzs6OTwcN4s+NGzl07Bijxo832vX7Dx7MoWPHmLt4MQpnZxTOzgQGBQHgf+kSnd5+G7syZXCvXJk+H39MeERExns3bdtGrWbNsC5VihLly/Ny164kJCQw/ocfWLVuHdt27coY8+DRnP/Cy22MdD+vXk21xo2x8vCgaqNGLPz554zXfOrUAaBeq1YonJ1p07mz0T6X4qbLyOpZChlfSZHZOyFyEhcbh0tJFxQKBRfPXuTevXs079U82/NuSqWS5j2bc+/ePS6evUgJtxLExcblOGZu4yQlJaHWqGnerzlRIVEEnQ/KdXwh8pMkds9h5oIF1KxWjZmTJ6NQKJ54btuWLflm+HCWrlpFdEyMUa4/d+pUmjZsyEf9+nH/yhXuX7mCV+nSRMfE0O7NN6lXuzb/7d/P7k2beBAWRo8BAwC4HxLC+x9+yAe9e3P5n384uGMH3Tt3RqfTMeLTT+nRrRsd27fPGLNZo0bZrv2kMQDWbNjAuKlTmTJmDJf/+Yfvx45l7Pffs2rdOgD89u0D4O+tW7l/5Qqbf/3VKJ9JsSVLs0I8lbW1NYkJiQBEhUehRYubj1uO57qVd0OLlqjwKBLjE7GxscnxvNzG0ag1AHhU0W9uiovImhhmHl+I/CSbJ55RUHAwO3bvZuGMGXne/TSoXz8mz5jB6vXr+ezjj587BkdHRywsLLCxtsbD3T3j+E/LllGvdm2+Hzcu49gv8+fjVbMmAdevE5+QgFqtpnvnzpT19gagVo0aGedaW1mRkpKSZczH3X/w4IljfPfDD8ycNInuXboA4FO2LJeuXmXJihX0e/99Srq6AlDCxeWJ1xFZTZpmyY7p0fh3M5Mes0I8pmb9mvgu8SX4VjDOrs4oURJ6KxSvGtk3r4XeDEWJkrS0NK5cuELPQT1zHDO3cVRm+o0WIVf1j0fYl7DPcXxnV2dj3Z4QeSIzds9o74ED6HQ6er3zTp7fU8rDgw5t27Jz714TRgbn/P05cOQIdmXKZHxVbdwYgBu3blGnZk3at25NrRYteKd/f5atWkVUdLRB13jSGAkJCdy4dYuBn32WJYbJM2ZwIzDQuDf7ApKlWSFy9vo7r2PnYMe6n9dRo24NPD09ObbmWLbn3LRaLcfWHsPT05MzJ89gY2fDG++9keOYuY1jbW2NmcqMY6uO4ezhjHdt7xzHr1G3Rk7DCmEyktg9o6joaBzs7bGzszPofaU8PAxOogwVHx9Pl44dOXv4cJava6dO0apZM1QqFX9t2cKfGzZQvUoV5i9dSpWGDbl1+3aer/GkMeIfPme3bM6cLNf3P36ck3/9ZarbfrHI0qwQ2VjbWPNOv3fwXexLwMUABg4dyO2Tt9kwZgPB/sGkJKYQ7B/MhjEbuH3yNh26dODXxb/yVp+3shUxTqdUKnMe52IwR5Ye4dKeS5hbmHP30t1s4w8cOlDq2Yl8J0uxz8jayoqk5GR0Ot1Tn6/LLCkpCRtra6PFYWFhgUajyXKsfp06/L5jB+W8vXNtlaNQKGjepAnNmzRh3MiRlK1dmy1//MHwIUNyHNPQMTxLleLm7dv06tEj57jNzQHydB2RO1maFSKrz8d9zj+H/6FPpz4s2rCIb7//luXzl+M71DdLnbl3+7zLrO9m4VXOiy/Gf/HEMZu1bZbrOIO/HMzJIyezHf/2+2+ljp0oEJLYPaNaNWqQmprK4ePHad28eZ7ek5aWxoGjR+luxB2g5by9+efUKQKDgrCztcXF2ZkhH37IstWref/DDxn52We4ODtz/eZNfQHlefP478wZ9h06RId27XBzdeWfU6cICw+nWuXK+jG9vNizbx9Xr12jhIsLjg4OmD9MxNL9899/TxxjwujRfDZ6NI4ODnRs356UlBT+O3uWqOhohg8ZglvJklhbW7P7778p4+mJlaUljo6ORvtcXiRdRlanS6aCxi7VomlXTgoai4JVEN0Y1Go1f+34i1YdWvHn5j95t+27NGrZiPcGvofKTEVsdCzRkdEc/fsoE76YQN1GdVm6eSn2DvZPHbtZ22Y0ad0kx3sa+PlA6TwhCg2FLn0b4wsgNjYWR0dHYtavx+GxHVDJZmbccnPDx8sLKwuLp46l0+mo3qQJtWvU4LdffsnT9Tdu3UqPAQM4f/Rolo0GzyPg+nX6DR7MOX9/kpKSuHXuHOW8vbl24wajxo/nwJEjpKSmUtbLi47t2zNryhSuBATwxbffcvrcOWLj4ijr5cXQjz7i00GDAAgLD6fXoEGc+Pdf4uPjObBjB21atMhy3ctXrz5xDIC1Gzfy4/z5XLp6FVsbG2pVr86wTz6h28PE9ufVq5k4fTp379+nZdOmHPzjj2z3l5yayq3gYHxCQ7FSq43ymRVnY0elYD8hAsp48XYDSe5EwXhStwdTzWItm72M5fOXk6ZNQ2mmRJOmQZuixdnZmaCbQVnObdSyEb0+7kWHNztgkYe/74UoaHGxcdQtWZeYmBgcHByeeK4kdg8ZmtgBzF+6lC+++Ya/t27Nlvg8LjomhmavvoqriwuHd+165nt40Uhi9wx8fZnauAOqmrayNCvyXXqXhrJNytK8V3PcfNwIvRXKsTXHuH3ytkmWKJfNXsbCmQup3rE6Lfq1wL2yOw8CHnB05VEu7blEr4G9aNepHTqdDg9PD0qXLW3U6wthapLY5cLYiV1qaiqv9ejBv6dPs2nVKl5p2zbH8x6EhvJGz55cu3GD43v2UPXhcqV4OknsnpGfH5NCKmPZWYNLNTdZmhX5QqvV8tHbH2FZ1pIek3tkWY7UarVsGLOBlNspLNu0zGhLlWq1mhaVW1ChXQXem/0eKuWjfq8arYb1w9Zz48ANjgYczfWZYyEKO0MSO3kI4DlYWFiw5ddfadqoER26d6dN585s2LKFO3fv8iA0lBN+fnz42Wf41K1L0J07/LVliyR1In9k2jUbeTlUSqKIfGFItwdj2bFhB2naNFr0a5ElqQNQKVU079ecNG0aOzbsMNo1hSjM5MeX52Rvb88f69ezads2Fi5fzrsffJDlda/SpRnz5Zd81K9fRlFeIfLLpLfOMenQS9CuoCMRLwJDuj0Yy72geyjNlLhXzrnQuUcVD5RmSu4F3TPaNYUozCSxMwIzMzPee+st3nvrLQKuX+dmYCCpqamUdHWlYf36Mv0vClZcLP77NdAOqlrKkqwwnbx2ezBmNwZPb0+0ai0PAh5Qtn7ZbK+HXA1Bq9bi6e1ptGsKUZhJxmFklStWpHLFigUdhhB6jRoxFv1uWf8JwfiXQXbLCpNJ79JwaOUhmvRoQmpiKlZ2VpSuWhpza3ODuzGEh4Zz+8ZtUpJTcC7hTOUalVGpsi63dunRhWljpnF05VHK1C2T7Rm7Y6uOodQqcS/lzj+H/8Hd051yFcsZ87aFKFQksUv3cA/JC7SXpEjI+P2Q35fnIoWMRX4IvBaIhZkFfy//m33L9mUct7S1xL28OyqNiomzJj5x44ROp+PkoZOsWbKGvdv2ZiliXqZsGd7/6H16DOiBi6sLoF8xGTh0IAtnLmT9sPU079ccjyoe3PW/y47JOwj0C0Sj1tCnY5+Mceo1rkevj3vx2tuvYWlpaYJPQoiCI7tiH9IoFAS4u+Pm4UEJ+6cXqxT5IyIujtCQECo/eIDqxfmjajqZdsvWbOcmS7PCaH775TfGfjoWRxdHmrdrzr2794iIjECtUZMYnUhcVBwatYZJP03ivYHv5TiGWq1m7NCxbPhlAxWrVqT3/3rTuHVjLC0tCbkbwqbVm/hjwx/Y2duxdPNS6jWul/HezHXsUEBcWByaNA1lK5blq0lfUbWm/s96wKUA1i5dy9F9R6nVoBY/b/kZV3d5/lkUblLuJBdPSuwA7tvZEe3khJurKzYWFga1ChPGpdPpSExNJTQ8HKfoaErFxxd0SMWKFDIWxrRp9SZGfTSKXoN68e2Mb7G0tEStVrNjww7uBd3D09uTV998lWlfT8N3iS8ffP4Bb7z3RkaHBq1Wi/8Zf2aOm8mJAyeYtGASPfr3QKfTZevoEBkWyeD3BnP1wlXW719PtdrVMuJQq9VsXLWRORPmkJKUwvLty2nQtEGOXTD8z/jz8Vsf4+TixIYDG7B3fPQDvaFdMwqiy4axFOXYXySS2OXiaYmdDgixsyPazg7kD3bB02pxio/HIz4eSbGNb8f0S/h3c5VCxuK5hIWE0apSK7r27sr3C79HoVDk2HnCxsoGrUbL7Ru3iYmMoXyN8niX9aZJyyacPHKSq5eucv/WfTzKelC1ZtWM4zl1r6jTsA7vt38ftVrNzv92ZvkhfNKXk9i0ehMbD22kcvXKT+yC4ebhxtut36Zrz66MnzMeMLxrRkF02TCWohz7i0YSu1w8LbFLp1EoSFMqQWbsCo5Oh7lWK8uvpiZLs+I5/TT1JxZNW8SJwBM4ODnk2Hnitv9t/l7+NzeO3+DVIa/y+4TfadGrBTp0nNp2ispNKxN5LxJ00H9ef7ZP207AiQAavNmAtgPa5ti9QqfV0fe1vqzft56GLRoCkJiQSNNyTenzvz6MmDQiT10wTh46yaqfVnHs1jHO/3feoK4ZBdFlw1iKcuwvIknscpHXxE6IF40szYpnodVqaVmpJa06tGLqoqk5d57QQeCNQDCHQ4sPEXUrCkc3Ry78fYFPN3/KXz/9RfTtaK4cucKgpYNo/HZj5vWch3VJazoM7YBPJR/Sp+wzd69YsmEJHet2pGb9msxZPQeADSs28M0n33Do6iFKeZXKUxeMibMn0qZqG8bPHc/+3fvz3DWjILpsGEtRjv1FJZ0nhBAGmTTNkmrzotGcuM+mg36EqEMKOiRRBERFRBFyJ4Q2HdsAOXeeSEpKIi0tDQdXB5r0bEJUSBSlKpUi6l4UsZGxNO/XnPDgcABqvVKLoPNBRIVE0aJfC9QaNUlJSRnXy9y94vL5y7R+tTWXz13OeP3S2UtUql6J0mVL57kLRmREJFVrVeX4/uMGdc0oiC4bxlKUYxdPJ4mdEAKALiOr83VUICkb0zj6V4C0IRNPlZyYDIDNwxWQnDpPaNT6ciVmlmaU9CkJgDpN3/c5LTkNjyoeaLVaACxtLImLiAPI6CSR/v50mbtXWNtak5iYmPFaUlISNra5x/KkcWKjYw3qmlEQXTaMpSjHLp5OEjshxCOZesz67w5m0ylJ7kTu0neShofqZ9wyd55IpzLTFwxWp6gJuxUGgFajT+Ss7KwIuRqCUqX/pyg2LBb7EvoxHwQ8yPL+dJm7V0SEReDg+GhZyt7BnojQCHQ6XY6x5DpOaIRB5+d2r086vzApyrGLp5PETgiRzaRplozctF+WZsUTOTg5UPul2mxfvx141Hni2JpjGbNw1tbWmJubExsey8m1J3H2cObayWuUq1cOOyc7jq06hruPO+ZW5pzceBLv2t44ezhzdOVRzFRmWFtbZ1xPq9VmdK+oUKUCe7bsoXn75hmvt3ylJcGBwZz1O5tjLDmNo1FrCLweSJd3u+Tp/PSuGXkdP69dNvJTUY5dPJ0kdkKInPXunWVpdn+gzN6J7Hp93IvDew9z69otlEolA4cO5PbJ22wYs4Fg/2BSklJIiUxh1/e7OP/HeSq8VAH/ff7U61SPI0uPcGnPJaztrKnZrib7l+8n6HwQ5hbmXNpziSNLjxB8MZiUxBSC/YPZMGYDt0/eZuDQgezatIvY6Fh6DeqVEUvLV1ri7ePNr4t+zTmWHMZZs3QNpcuWpt1r7fJ0fvozaXkdvzBuPijKsYunk12xQoinkl2zIjfJScm0r9EeV3dX1uxdg529Xa517NRpaq5duoY6TY1PdR/KlCmTUa/u5vWbBF0NwrGEI3Ub16Vpq6a51rEr6VGSd9u+S+NWjVm0YVGWeH5d9Cvjh41n1spZvPn+m0+s1RYRFsGwPsMYM2MMA4YOAKSOXVGJ/UUj5U5yIYmdEM/B15epbbpSsr0j7cpJciceuXTuEu+//D7ePt5MXjCZ2i/VztI1wqmEExq1hnGfjeNWwC1GfT+Kuo3rZuk8cfHsRbat28aKeSvo3KMzIyePpJRXqSxdEarUrML+nfsZM2QMJT1K8tv+33BwyvqPnE6nY9SgUWz+dTNfjP+Cvp/0xdbeNss43uW9Wbt0LbO+m8Ub773BjF9mZClyLJ0nikbsLxJJ7HIhiZ0Qz2fsqBTKbrWRxE5kc9X/Kp/0+ITbN25Ts35NOnbriKOTIzHRMezeshv/0/6UrVCWhb8tpGqt3P/8/LHxD8YMGUNCXAJtO7WlSesmWFpZcv/Ofbas3ULInRBavtySub5zcXR2zPLe9CQlIjSCPzb+wfZ127G0sqTLu12oUrMKCoWCq/5X2fHbDpKTkun/aX9ee+c1YqNii01SI4la8SSJXS4ksRPi+aQvybrU8ZLkTmSj0Wg4vOcwvkt8+e/4fyTEJWBrb0uDpg3o878+tHq1FSqV6qnjJCYksn39dtb9vI6bV2+SkpyCo4sjL3d5mV6DelGzXs1s78lpWbGESwk8Snlw6tgpQu7qNwC5e7rTtVdXKlaryJZ1W4rVMqQsrRZfktjlQhI7IZ7fjumXuPyZEzg6So9Z8UQ6nS7LEqepxslLe6ymbZoCZPSyLW7ttIrjPYlHJLHLhSR2QhiJ9JgVhYSh7bGKYzut4nhPIitpKSaEMC0pZCwKCUPbYxXHdlrF8Z7Es5PETgjxzKTHrChohrbHKo7ttIrjPYlnJ4mdEOK5SI9ZUZBepFZguSmO9ySenSR2QojnJ0uzIp8kJyWz/bft/DT1J+ZMnMOp46dwcXYxWiuwfUv3oU3V8veOv5n//Xy2r99OclJyvt3fs5AWYSKzPG2eqF+/vmGDKhRs376d0qVLP3NgpiCbJ4QwvR3TL+HfzRVVTVvZNSuMJioiisU/LmbTqk1ER0bj6u6KmbkZkaGRpKnTsLW3pcbLNXj9i9dxK+9G6M1Qjq3NeUdolh2kPZvjVt6NMzvPsOX7LYTeCsXM3AxXN1fUajXhD8JxdHbk7X5v8/GIjylRskQBfgq5y+menvQZiKLF6LtilUolX375JXZ2dk+9uE6n44cffuDSpUuUL18+71HnA0nshMgnsmtWGFHwrWD6vd6PyPBIegzowfsfvo9PJR8A4uPi2b5uO4tnLOZe0D3cvd2xc7EzqBVYTFQMobdDsba15p1+7/DF+C+wd7AHIPB6IOt+XseGFRtwcnZi5c6VlK1QNl/vP6+kjl3xZZLELiQkBDe3nB/MfJy9vT3nzp2TxE6IF5z0mBXPQ6vVcvLQSUZ8MAKFQsGav9ZQrkK5HLsraDQaRg8azfb12+naqyvN2jWjS48umJmZ5dqNQavVsnbpWiYOn0iLl1uwcMNCrKyscjz/XtA9+r3eD61Wy+ajm3EuUbDPqz3pnqTzRPFj9MTu9u3beHt757nQZHBwMJ6ennmqMJ6fJLETogD4+jK1cQdZmhUGSZ99On/qPFGhUZStWpZyPuVo0rIJJ4+czDYr1aRlE44fOs5/R/8jLTWNctXKUbp06VzPHzh0IE3bNKVj3Y64eriyaucqzMzMnjjr5VXOi84NO9NncB9GTBxR4J+NzMy9OKRAcS4ksROigGRamnWp5ibtyMQTpT8v5tXQixObTtCgcwPaD2rP9mnbCTgRQIM3G9B2QNuM7goHVhzg1LZTVG5amdqv1uaXIb/Qb24/gi4EZRx/Y9Qb2boxdH+3O9+P+h7fPb40bdM0T90b/tr+Fzs37eTI9SNYWloW2GcjHSZeLEZP7M6fP5/ni9euXTvP5+Y3SeyEKFhjR6VgPzVekjuRq8xdFCq3qMz8nvOZdHwSnlU9mddzHtYlrekwtIP+GTsFoINb126xd95eksKTGLpmKN+1+A6vGl50GNkh4/hnaz/LWJJM78ZwdttZbG1t2Xt+LzqdLk/dG0ZNHkWnep1YuGEhr775aoF9NtJh4sVi9M4TdevWpV69ehm/PulLCCFyM+mtc8TNKJwPnovCIXMXhYigCMytzClTvQxB54OIComiRb8WqDVqkpKSAEhKSkKtUdO8X3OiQqIIvhCMTz0fQgNDsxwPOh+UcY30bgyx0bF4l9c/ZpTX7g0pySnY2tlyN/Buvn4uIB0mRN7kKbG7desWN2/e5NatW/z+++/4+PiwcOFCzpw5w5kzZ1i4cCEVKlTg999/N3W8QoiiLiKCyMuhUshY5ChzFwWtWotSpf9nKi4iDgD3yu4AaNSaLL96VPHIOE+hUuR4PDO38m7o0KFOU2e7bk4yd29QqpSo1Wqj3XNeSYcJkRdmeTmpbNlHP2G/8847zJs3j9deey3jWO3atfHy8mLs2LF07drV6EEKIYqJRo2Y1AjGjgL/CcHcq4MsyYosMndRcHB3ICUhheiQaOxL6MuPPAh4gIWtBSoz/ea89F9Drurb2dmXsCf0Rij2rvbZjmcWejMUlZmK8NDwbNf1quGVLa707g0KpYK4mDhKuOV/Pbu8xigdJl5sBi/CX7hwAR8fn2zHfXx8uHTpklGCEkIUb+k9ZiPPBUuP2SIiKiKKwOuBPLj3IGO2SqfTEREWQeD1QELvh2brevA4rVZLWEgYgdcDiQiLIKdHvDN3Uaj1Si0sbCw4vPow3rW9cfZw5ujKo5ipzLC2tgbA2toaM5UZx1Ydw9nDGXMrc64ev0qzd5plOe5d2ztLHMfWHsO7vDdXLlzh2uVree7ecP6/81hZW/Fy55ef9yM1mHSYEHlhcGJXrVo1pk6dSmpqasax1NRUpk6dSrVq1YwanBCi+OoysjojN+2XHrOFWHJSMptWb6Jb82685PkS7Wu0p5lPM5qWa8oHb3xAh9odaFSmEe1rtKdpuaa0qtyKBT8sIPxBeJZxwh+Es+CHBbSq3IomZZvQvkZ7GpVpxGsNXmPNkjXEx8VnnKtUKhk4dCC3T97mj+l/UPvl2hxYcYCb/93E3MKcS3sucWTpEYIvBpOSmELwxWCOLD3CpT2XMLcwZ+v3W7EvYY9HJY8sx+9euqs/3z+YDWM2cPvkbUZOHImruyu/zP0ly3U3jNlAsH9wtvN7fdSLdT+vo8u7XXB0dszv3448xThw6EDZOPGCM7jciZ+fH126dEGn02XsgD1//jwKhYIdO3bQqFEjkwRqDLIrVojCSQoZFz6Xz1/mw24fEnInhFYdWtG1Z1dKepTE/5Q/cybNISU5BYC3+73Nm++/SUJcAvt37Wf7+u1otVqmLZ3GG++9wfbftjPqo1EolUreeO8N2r3WDlt7W6Iiovhjwx/8veNvHJ0dWbxxMS81fynj+um12gJvBnL76m2sba1p0LwBzds0z7WO3e+//s61i9dwLe2Ki5tLxvHc6tg1a9uMXxf9yvhh4xk7cyz9P+2fa424PoP6sHrhav479h9bjm2hQtUKBfVbI3XsXkAmr2OXkJDAmjVruHJF/xN2tWrV6NmzJ7a2ts8WcT6RxE6Iwkt6zBYeAZcC6NGmB94+3sz1nYtPJR+0Wi2///o7Yz8dS+XqlZmxYgbrf17PqgWr+ODzD2j5ckucXZ0pU7YMU0ZOYYvvFjp268juLbtp07ENM36ZgaOzY7auCCF3QxjxwQjO+p3Fd48v9Zs86k2e3kXh2L5jzJs8jwpVKzBk9BDavtaWgIsBGeMoFApWL1zN76t/p8u7XejWqxsuJV3y1I1Bp9Pxw9c/8PPsn+naqysffPYB1WpXyzjfwcmB+3fus2j6Im5cucGSTUto8XILo3/mhnaMkM4TLxYpUJwLSeyEKOSkx2yB02q1dKrXCZWZit/2/4a9oz3HDxxn2ZxlHPv7GOaW5pSpWIYyZcrQpGUT1ixdQ/DNYLyqeGFtY42npyeNWzTml7m/EBYShq2jLZ4+nthY2qBQKkhMTsw2y9SgaQP6vd6PwOuBHAo4lGPh3wunLzDpy0mcOn4Kd093ajWohbm5OcGBwfif9sfd051PRn5C7//1znOXpHQ6nY51P69jwQ8LCLkTQo16NfD28SYtLQ3/0/6E3A2hftP6jJ0xltovGb9Wq7Fm4GQmr/gyeWL366+/smTJEm7evMmJEycoW7Yss2fPpnz58rz55pvPHLipSWInRNEgS7MF5+jfR+n3ej9+2/8bLzV/KaPTgbmLORf+vsD4Q+NRmikzukDU61KPMzvOULtDbToM7pDRBcLKwYrQG6G88skrlK5Wmu0/bqdis4q0H9iesjXLZuuW4F7KnQ51OjBr5SzefD/3f0euXLjCb7/8RtDNINJS03Ap6UKn7p1o37k9ZmZ5KvSQK7Vazf6d+/lz859EhEZgZm6Gd3lv3v3gXarVNs0z5MbqJCEdKYo3kyZ2ixYtYty4cQwbNozJkydz8eJFypcvz8qVK1m1ahUHDhx4ruBNSRI7IYoOWZotGP97538E3Qxi5387s3RjuHHqBuaW5ozcPhKtVpulC8SFrRfYOWcnsy/N5kHoA3bP3s3p30/jUcmDmAcxlKtfjhIVStD6f60hDcpVKAeK7N0S+nbqS0pKChsPbizojyFfGKuThHSkKP6M3nkis/nz57Ns2TK+/fbbLD8dvfTSS1y4cMHwaIUQIgddRlbn66hA2TWbz06fPM2rXV/N0o2h6ftNufHvDRp0aQCQrQtEjVdqkJqYyvXT11Fr1FR/uTrqVDXV21QnLjyO8KBwmvZqioOrA2lpaRldIx7vltCxW0fO/nP2qWVTigtjdZKQjhQiM4MTu1u3buXYOszS0pKEhASjBJWbw4cP06VLFzw9PVEoFGzdutWk1xNCFLBGjRj7hhNxX9vhvzuYTackuTO1xPhEHJz0MwLpnQ5cSrmg0+qwcdKvdDzeBcLSVv9MXGJMIgAObvr3m1nof/jXarS4lnPFzFL/fXpXCMjaLcHByQGtVktSYpKpb7NQMFYnCelIITIzOLHz8fHh7Nmz2Y7v3r3b5HXsEhISqFOnDgsWLDDpdYQQhUt6QWPNiftS0NjEbOxsiImKAR51Ooi8H4lSpSQhSv/De+YuEAApCfrSJzaO+sQvNjQWAHWKvpCxUqUkPDA84/v0bhGQtVtCTFQMSqUSaxtrU99moZC5k0RO8tpJwljjiOLB4MRu+PDhDBkyhN9++w2dToefnx9Tpkzh66+/ZuTIkaaIMUOnTp2YPHky3bp1M+l1hBCFz+NLs/sDZfbOFF5q9hK7t+xGp9NldDo4se4EFRpV4NT2UwDZukBc2HMBS1tLKjWohJnKjEv7LmFmacbFAxdxdHekpHdJTqw5QWx4LObm5hldIx7vlvDnlj9p0KzBC/McmLE6SUhHCpGZwf/3fPjhh0ybNo0xY8aQmJhIz549WbRoEXPnzuW9994zRYxCCKGXaWk28pwszZpCr497ce3SNfyO+GXpdGBtZ82Vo1e4deYWdy/dzegCcWjxIfb/vJ/GbzUmPDicI0uPcOWvK5TwKsHdy3dp/FZj6r9en/N/nGfX97tIiUwhJelRt4RrB69hbWXNu23e5Z9D/5AYn8ivi34lLjauoD8KkzNWJwnpSCEye646domJicTHx+PmlvO6vikpFAq2bNlC165dcz0nJSWFlJSUjO9jY2Px8vKSXbFCFAe+vkxt3IGSnUvRrpyURDEWnU7Haw1eQ6fV8duB33B0dtTXsZu7jON/H0dlrsKrkhdlypShcYvG+C7x5W7gXbyqemFt/bCOXfPGLJ+7nPAH4dg42lDap3S2OnbqFDUxoTFEhUfh5OKETqcjJTmFBk0bcPLQSSytLHn/w/cZMXkEFhYWBf2xmJTUsRNPY8iuWIOL/kycOJEWLVrQrl07bGxssHmYICUkJDBz5kzGjRv3bFGbwNSpU5kwYUJBhyGEMIXevUkclQKdCzqQ4kWhULBg3QLeafMO77/8PnN+nUOzts1o0roJ29Zt45tPvkGlUTFszDB+W/4bdwPv8vFXH9OkVROcXZ3xKO3BpC8nEREaQZd3u/DHhj9wd3Vnxi8zKFGyBBfPXsT/lD8/jv0RBycHPh7xMXu27OHKhSus+3sdtV+qTcjdENb9vI6lM5YScDGAJZuX5Fi0uLhI/3yft2OEscYRRZvBM3ZKpRJzc3OmTp3K8OHDM44/ePAAT09PNBrNE95tPDJjJ4RIL2TsUsdLZu2M7Nrla3zU9SOCA4Np0qYJXd/viqu7K1f9rzJ/ynySk5JRKBS81fctqtWpRnhIOJfOXeL4geOYmZkxbdk0UlNTObj7IHu27AHgtbdeo1nbZkz7dhqWlpaUr1ye4weOU8KtBCOnjKSke8ksyciJgyf44I0PeOO9N5i2dFoBfyK5kzZewtRMWqBYqVSybt06hgwZQpcuXViyZAkWFhaFMrF7nBQoFqL42TH9Epc/cwJHRylkbGQpKSns2bqHNUvW8N+x/zKOu3u6U6dhHS6fv0zwreCM4+YW5nhX8KZ2g9ocPXCUNG0aSjMl6lQ1miQN5ubmREdEZ5xfo14NmrZpytXLV3nw4EGOy4e/LvqVCV9M4MDlA3j5eOXn7eeJLH+K/GDyxC4kJIS4uDi6dOmCk5MTW7duRafTmTyxi4+P5/r16wDUq1ePWbNm0bZtW1xcXPD29n7q+yWxE6KY8vVlkkNn6TFrQgnxCcRGx2JtY42DkwMnD51kyjdTKF2/NHVfq4tnVU/iI+PZ8v0WAk4EUKtTLVp+0BL3yu48CHjA0ZVH8f/TH5VWRaMWjfjxlx+5cOrCU9tg1Wtcj6blmtLzo56MnGLayguGkjZeIr+YNLFTqVTcv38fNzc3YmNj6dGjBxcvXmTx4sW88cYbJk3sDh48SNu2bbMd79evHytXrnzq+yWxE6J4k6XZ/JFbCyutRsu0btNw9nLm5c9fxr2iOwoUAGi0Gpb3Xc6FXRdYtWsVzdo2y3MbrAnDJnBozyEOXj1YELebI2njJfKTSVuKZc4DHRwc2LVrF926dTNoSfRZtWnTBp1Ol+0rL0mdEKL4Sy9kHHkuWAoZm1BuLayu/XuN+Ih4mvVrhkajITUxNeM1lVJFpRaVAAi4FGBQG6yyFcoSERaRPzeXR9LGSxRWBu+KXbFiBY6OjhnfK5VK5s2bR7169Th8+LBRgxNCCEN1GVmdLn5+TAqx4WhSADXbRcvSrJHl1sIqNiwWFOBexZ3oe9FZWocBuJZzBeB+8H2D2mClpaVhZm7wP1cmJW28RGFl8Ixdv379ctx2PmDAAFasWGGUoIQQ4rlIj1mTyq2FlUNJB9DBg6v6VmOZW4fBox6xyUnJBrXBOvfvObzKFa6NE9LGSxRWefoRaN68eQwaNAgrKyvmzZuX63kKhYKhQ4caLTghhHgek6ZZsmN6NP7dzNgUFyu7Zp9RVEQU/xz+h5ioGKysrahSs0pGC6vMz5dValgJuxJ2HFhwgHINy2FlZ4WVrRU+jXxwLO3Ixb0XMbcw56r/1SxtsHJ6Ri29DZaLqwt/7/ibsTPHGvWeUlJSOHHgBOEPwlEoFZT2Lk2jlo3y/DxcXuN/vI3XvaB7nP7nNAlxCdjY2VCvUT3KlCtj1HsTL7Y8bZ7w8fHhv//+o0SJEvj4+OQ+mELBzZs3jRqgMcnmCSFeUH5+TAqpLLtmDXTx7EVWzF/Bzo07SU1JzfJa5eqViU+Mp2anmrTo1QK38m6c+O0EW6ZuITY0NutACnDydCI1PpUOr3dg69qtrNq5CqVK+WhXac/muJV3I/RmKMfWPtpVumvTLrat28bxwOPYO9g/9z2F3g9l9aLVbFixgYjQrM/teft4896H79FzUM88XSvLrthc4k/fFXts/zFWL1jN/l37s/RzVSgUtOnYhn5D+tHylZbPfX+ieDLprtiiTBI7IV5s6btmKePF2w0kuXuSTas38e0n31KqTCne/+h9uvbUFyhOTkrm6N9H8V3sy/EDxylZqiQOJR2IfBBJ1IMo7BzsqFa7Gjdv3EStU6NQKUiJTyEtMQ11mpqPR3zMxbMXOet3lmWbl6FWq3OsA/fBpx/gd8SPn77/iUnzJ9FzUM/nvif/M/582PVDkhKTeKvPW7w78F3KVy6vLzB85iJrl61l58adlC1fll+2/4Knt+dTx3xaHTudTsfsCbNZMHUB1WpXo/f/etOxW0ccnByIi4ljz9Y9+C725eLZiwz6chAjp4xEoVA8972K4kUSu1xIYieE2DH9Ev7dXFHVtJWl2UwS4hUkJSpwckll8leT+XXhrzRu3Zhftv9CfKwN5hZp7N+1nXtB9/D09qRLjy7s37mfz/t8Tqkypbh94zb9hvTj2x+/RaVSkZqaypIZSwi6GYR3eW8GfTmIXxf+ytTRUxk8ejBnTp7h36P/0umtTvT8qCdWNlZER0Rja29L4PVA1ixZw7l/zzFyykg+HvFxlljVajU7NuzIEouZmdkTO0DcunaLd1q/g5ePF8u2LMPVzTXH8wOvBTKgywAsLC3YeGgjTi5OGdfNbfwnXXfR9EXMGDuDkVNGMujLQSgUimznV69TndULVjP5q8l8NuYzPh/7eb79vouiweiJXebWYU8za9asPJ+b3ySxE0IAsjT7mIR4BRO+cOX8v/OJjJpD5INwzK3MsXa0xlxhCZr6JKWcwdwmBaWZEq1ai7nSnIFDB2JhacHELybSpUcX5vw6B3jyLFb6LNzus7s5vOcwvkt8uX3jNja2NljbWhMbFUtaWhotX27JwGEDsy1PLpu9jOXzl2d0tUiPpX2n9oTcD8l15uzDrh9y4+oNthzbgpOL0xNj9PTypGuzrvTo34Nvpn/z1HvKrQjxncA7tKnahk9GfcKXE7586jinjp9izsQ5/O3/Nz6Vcn/sSbx4jJ7YPV4U+PTp06jVaqpUqQJAQEAAKpWKBg0asH///ucI3bQksRNCZCYFjfXCQ5X07rCWuyHT8ajiys2TNxh1eBTqFA0bRm4g4lY4tV6vRYv+LfGo8qiTxKU9l6harSqnjp2iefvmrNix4qndGEaMG8GXA76kx4AejJ46Gq1Wy4kDJ7hy4QpJSUk4ODrQ8pWWOSY2y2YvY+HMhVTvWJ0W/VpkdLXY+cNObp+6TYM3GvDKoFeyXfOjzz5ixIARfL/oe3oM6JGnjhGH9x5mw4oNHLt5jDP/nHmmDhM/jvmRNUvXcPzWcWxsbZ563a/Gf8WX/b/krT5vZSSUQoCJl2JnzZrFwYMHWbVqFc7O+m3cUVFRDBgwgJYtW/Lll18+e+QmJomdEOJxY0elUHarzQud2KnVappXbEmFdhW4f+U+1g42DN74CUlJGqY2Hk/VtlXoNrUbNnY2WTpJrPtsHX7r/WjWthnH9x/n0NVDjPti3FO7MVSoWIHff/2df4L/wcwsb/Xp1Go1LSq3oEK7Crw3+z1USlXGuEt7LcXO1Y7Wg1pTtXbVjGfU0q95ee9losKiOBF4Aksryzx1jBgzfQyv1HyF6T9PZ+fmnQZ3mNBoNDQp24Q33n2DsTPH5rlTRcXKFdmwYgN+d/wwNzd/ht9NURyZtPPEzJkzmTp1akZSB+Ds7MzkyZOZOXOm4dEKIUQBi7wcypWUF7fW3Y4NO1CTSov+zQm/GUr5JhVJTVVwdutp0Olo2q8pSpUyS8FhlVJFva710Gl1eJTxQKfTcXDPwTx1Y3Av7U50ZLRBxXt3bNhBmjaNFv1aZCR1AHfO3yH2QSzN+jUDBcRExWS7ZmR4JOWrlMfaxjrPHSPiY+Mp5VUKvyN+z9RhIjoymsiwSBq1agTkvVOFR2kPYqNjs+3YFSKvDE7sYmNjCQsLy3Y8LCyMuLg4owQlhBD5ZdI0y4xCxvsDX8zk7l7QPZRmSjyquKNOVWNmqZ9Fi74TicpMhUcV/QaTxxd4XLxcAEiISwDy3o0hJSkFIFsJlbzE6F7ZPcvxhAj9td2ruIMi+5hu5d305UUehm5IxwhLS0viYuKeqcNEehwWFhYGXTcl2fDPRojMDE7sunXrxoABA9i8eTN37tzhzp07/P777wwcOJDu3bubIkYhhDCpF73HrKe3J1q1lpCrD7BxsiX6rj5JcSrjgkatIeSq/vN4vAxHXJj+h/n0ZKSUV6k8dWNITk4GwNHFMcfznhTjg4AHWY7blrAFHna70IGFpUW2a5qZmWXM5OW1Y4Sdox1hIWG4urs+U4eJ9N2094PvG3Td5KTkLO8XwlAGJ3aLFy+mU6dO9OzZk7Jly1K2bFl69uxJx44dWbhwoSliFEIIk+sysjojN+0nZWMaR/8KKJJLs1qtNkvx27zq0qMLZlhwdOVRqneoxZkt/6HUpVK3a31QKDix6gRajTZLizCNVsO/G/7F3NKc8/+dx6OMB13e7ZLRjeHxODJ3Yzhx4ATN2jbDzt7OoBjNleYcXXkUjfbRknCZ2mVwcHfg+KrjoANH50fJYvo1vXy8CLweiP8Z/ywdI54U451bd4iPi6fnoJ55Ov/xDhPWNta0fLklv//6O0Cer3vi4Akat26Mg9OTn6MSIjcGJXYajYb//vuPKVOmEBERwZkzZzhz5gyRkZEsXLgQW1tbU8UphBCm17t3lh6zRWFpNvhWMNO/nU4zn2ZUtqlMZZvKNPNpxo9jfuRO4J08jREdaYGz0+dc2HWZ+LAY4sPj8PvtH0IvB+Pg7sCFnRfY8vUWAv+7TXJ8MoGnAlk/bD2X9lzilS6vEBEaQdtObbGwsGDg0IHcPnmbDWM2EOwfTEpiCsH+wWwYs4HbJ2/T9tW2nD55mt7/623QfZqZmTFw6EAu7bnE+mHrCTwVSHJ8MkFngtBqtFzYdYETv5zgzsU72a751cSvKOVVilULVqFUKp8a44AhA/h1sb6OX5UaVZ56/sChA3NsRdbr416c9TvLWb+zebpu+07t+e/Yf/T+2LDPRojMDN4Va2VlxeXLl5/YWqywkl2xQoi82jH9Epc/cwJHx0JZyFitVjN5xGR8F/ti52BHt17dqFJTX4Lqqv9VtqzZQnxsPH0H980oGpybzHXsoqLnEhMVhTpFjW0JW6zMbXKtY9fn4z4c3nOY0ydP4+HpwcZDG/Eo7ZFrrbbuPbvz47c/YmVjxQ6/Hc+06/NZ69j9uuhXxg8bz5SFU3hv4Hu5xvjBpx9w5K8jLJu1jBU7VtCqQyvg2erYqdVq3mzyJvGx8azfv55SZUrlOs5bPd/ix7E/YmFhwR///SE7YkUWJi138tJLLzFt2jTat2//XEEWBEnshBAGKaSFjLVaLV/0+4I/f/+TUd+PouegnljbWGc5JzEhkbVL1zL92+m8/s7rzFwx84kN7jN3nti4aiPzp8wnOiKaUd+Pok2nd3BysczoPOFRxoMSriWYNX4WgdcCmf7zdCZ/NRmA0VNH0+HNDpiZmWV0V7BztONu4F2mfTsNnU7Hb/t+e67G98/SeUKn0zH+8/H4LvFlwNABfPDZB3iU8chyvoWFBQunLeSPDX8wZsYYBgwdkO1zz2383NwLvse77d5Fq9UyeupoXu36arbP5t7te0wfMx2NWsP6fevx8vF65s9GFE8mTex2797N119/zaRJk2jQoEG25denXbAgSWInhHgWha3H7PI5y5k6eio/rfuJjt06ArknHbt+38VnvT7j2x+/zZaoPElCfAJjPx3Ljt92YG1jzStvvkJJ95IkJyZz5O8jBF4PpGK1qsxe9SPV61Qn5G4IXw38iuMHjuNS0pW2nV6mREkHYqJi2LdzH+EPwmnapikzfpmBR+mCmf3U6XQsmbGERdMXkRifSOtXW1O+Snm0Gv1n53fED1d3V76Z9g1vvv+m0a774N4DRn44kqP7jlLCrQQvd34ZR2dHYqNj2bdzH2EhYTRp04QZy2dQqkwpo11XFB8mTewy/3SSeYeUTqdDoVCg0WhyeluhIImdEOJZFZYesxqNhtZVWtO8XXOmLZ0GPH2ZcMTAEfx75F/2X97/xCXZnNwLvsdvv/zGoT2HiI2OxcraiopVqxIfNxgzs2Z8vygCV/dHf+/7Hb7BVx9uIi72JA5OMdg72FK/SX16/a8XlatXNupn8awS4hPYtm4bO37bQVhIGCqVilJepXi739t0eLNDRokSY7t2+Rprlqzh1PFTxMfFY2dvR73G9ej1v15UqVHFJNcUxYNJE7tDhw498fXWrVsbMly+ksROCPFcCsHS7N87/ubjtz9m64mt1KpfK0/tsWztbOneojvLNi+j3evtnjuG8FAl335SkpB7Znh4qpmyMBxXdw3hD1R8O9j10fFFYbi6Gb5LVwiRlUkTu6JMEjshhDEU5NLshC8mcHjvYfZd3JfnNlVLNy7l5Zov0+61doydOdYocTyexH0xPorZ452zJXtCiOdn0pZi6RITE7ly5Qrnz5/P8iWEEMVdekFjzYn7+V7QOC42DpeS+o4PeW1TdencJUq4lSAu1njdgVzdNUxZGI6Hp5qQe2aMGpR9Bk8Ikf8MTuzCwsLo3Lkz9vb21KhRg3r16mX5EkKIF0GXkdX5Oiow3wsaW1tbk5SQBBjWHishLgEbI69UuLpr+GJ81lZaX4yPkqROiAJkcGI3bNgwoqOj+eeff7C2tmb37t2sWrWKSpUqsX37dlPEKIQQhVOjRlkKGm86Zfrkrmb9mly5cIU7gXfy3KYqJSWFa5euUaNejRzPe1bhD1TMHp+1ldbs8c6EPzBsg4YQwngMTuz279/PrFmzeOmll1AqlZQtW5bevXszffp0pk6daooYhRCiUMu8NGvqbhVd3u2Crb0t65evz3ObqlPHT2HvaE/nHp3R6XScOnGKKV9N4csBXzJq0CgWTltIyF3DlpMff8Zu2tKwjGXZbwe7SnInRAExOLFLSEjAzU0/7e/s7ExYWBgAtWrV4vTp08aNTgghioguI6uT+HPem9o/KxtbG97p9w6/LvqVa5euPbVN1cuvv8zapWt5p987HN57mDcav0GPNj3YtXkXd4PucuPKDRZNW0SrSq0Y8t4QAq8HPjWG8FBl1t2vC8OpWis1yzN33w52JTz0mR/jFkI8IzND31ClShWuXr1KuXLlqFOnDkuWLKFcuXIsXryYUqWksKIQ4sUWeS6Y/YDnc/516KRyyrVW3rDvhuF3xI/eHXuzaMMivv3+W5bPX47vUN8sdeze7vk2s76bRblK5bB3smfwu4Np+UpLVuxYQYuXW2RsuIiLjWPrmq0sn7Oct1u9zS87fqF2g9q5xmZto8PRRQtk3SiRvqHi28GuOLposbZ5YYouCFFoGFzuxNfXF7VaTf/+/Tl16hQdO3YkMjISCwsLVq5cybvvvmuqWJ+blDsRQpjajumX8IuogEVPdyhd+pnHsax6hZo1ybVWXmR4JIPeGsSZk2eo26ghfT55D5WZitioWKIioziy9wj/Hf+Peo0b0LXXG3z32XcMHj2Yj0d8SXKSMsf6cjeuxjK8f3/uBQez7cQ2PL08c40vvQXZ4+MkxCu4G6SitLcGW7us/7yEhyqxttFlO15QnqVFmBAFIV/r2KWXPfH29sbV1fV5hjI5SeyEECbl5wcBAey4Vx/atIVGjZ55qLPhNzHzCKFkhehcz0mI1rFwaDB3A34lIfp4ltcq1q9LWuoQPMq35urJZlR6qTp9Jn3N+ik1SYg2p++kCzi4pmacHxtuweqxtbCwDuHysdY0fqMN7307CM9SuSeX2eKJVzDhC1diIpXZSp6kP5Pn6KLlu9nhBZ7cPa1bhxCFiRQozoUkdkIIk/HzY8dBO/AsDb17G2vIJ0pIgJ07IS4OrKyCadToLjY2CpRKT44c8SIuDmAL9+9358MPz2BvXzfjfHt7eO01sLOD+HjYtevRcUfHrzl/fhGff34XpzbnKFkhmuplnJ4ab1SoOT98WoGwexaU9Exl1PwbuLinEfnAnGlDHx0f/dMNnN3SDP48jNXGLS/dOiS5E4WJ0RO74cOH5/nis2bNyvO5+U0SOyGESfj6GmWW7llERcGCBRAZCS4u0KsXrFnz6Hut9i1iY+8wY8Y/eTp/yBBITQ3ko498+Oqr9VhavotNs+NPieKRuChzts6vQGy4BQ6uqbzcJ4i/f/XO+L7r0BvYOxue1KUnl8+b3OW1W8eyTctkWVYUGoYkdnnaPHHmzJks358+fRq1Wk2VKvqmxQEBAahUKho0aPCMIQshRBFXAEkdgLOzPhlLT9bmz9cfT0/Svv/+Hl5eNfJ8vrMzQDmsrGyJjLzHm28CagNmr+yh6icPxw+HP2fru2SUdoEhn4CzvQuoDb/Ps8duEln1CjVrRhv+5kyunbnG7bu36fV1L1JJhcceNXzp/ZdYO3QtO/12UqlepRzHKIgewULkVZ4SuwMHDmT896xZs7C3t2fVqlU46/8GICoqigEDBtCyZUvTRCmEEIWVn59+tq5ywYXg7KyfeUtP0kD/vbPzs5+vX8xR5Es8eVHXtTxnr8Dz1oC+5h9KarIKW6cyJEZZZnvdztmL1GQVp7Y5EnsjewJnWfUK1LyCk8rp+QJ5TsZalhbFj8HlTmbOnMnevXszkjrQ17ObPHkyHTp04MsvvzRqgEIIUWilL8F6li6Q2bp0UVH65dTM1qzRz8CVKFGG27fP5/l8Z2e4f/8GKSmJlCjxbLt6nzb+s6rrWv7Z3/yQXZkojmJB/N1oSlf1zvZ6xJ0HWGBBvTK1qJjD9fx2ledc9HE8c98wnC8uWV8xytK0KH4MTuxiY2MzihJnFhYWRlyc8RpMCyFEkVBAS7Dp0p+ZCw7+CzOzCzRoAJcv1yIy8hV++klH1aptOH58E7t3L6FevVexsCiX6zN2Cxbok6/duxdjZ+dMw4adnzmeJ43/PMnd8ypfvh4lHMtycsNhuo3pme0Zu382HqaEY1nKl8+593mjRuB3vBnX8yvgXNg0O84lookuFV0g139SnUVRsAzeFdu3b1+OHDnCzJkzafTwL7N//vmHr776ipYtW7Jq1SqTBGoMsnlCCGE06btgCzCxu3s3mrFjvyIiYh06XUKW1xQKCxQKO7TayCzH7e3bYGs7GC+vbnz6qRnOzlmTMTu7EK5dq8Errwzggw9mGBRPdDT89FPWjRiPj+/iAp9+Ck5Oz3nzz+Hcuf2sWDMMn+ZeNH6nFW7l3AkNfMA/Gw9z61gwA3rNoU6ddgUXYB6dDb9ZINdNL8NjSCkc8XyMvnkis8WLFzNixAh69uxJWpp+Z5OZmRkDBw7kxx9/fLaIhRCiKMlc2qSAkrpbt87z1VdNSU1NxMysBB06DKFJkw5ERd1n2bLPiY+PRKeLRKGwpEuXYWzfPo369V/nxo1YQkJ64OLSDnPz3wGnjA0Vc+aEcv36a1hYWPLmm3mvhpDO0lJfLgWyzsxl3rBhb68/ryDVqdOOAcxh2x8zWHdsNTqlBoVWRQnHskUmqQPjLE0/E3X5jM0s90qYtjfy00hymd0z17FLSEjgxo0bAFSoUAFbW1ujBmYKMmMnhHhuRiptkpQEKSk5z1xFR+uTH2vrnN/74MFtBg+uglqdRvfuqyhRojedO0Nk5H1GjmyKSmXOV1/tYNMmP06cGICZmQVvvz2adevGU6VKK7y82nPixBy8vaszadLfJCcn8Pffv7B161x0OjUTJ+7Fx0ffUiwqSl/fzjv742gEBYGtrZaoqDPExobj4OBKqVL1SEtT4uCg5ebNR8fLl69HbKzyifeV37Ta7DFKiZO8e1qdRVOzKH8Ty6pXcClBnuosmpKpl6WlQHEuJLETQjyz9K4SdIHKlZ87qVu6VJ8wPf7MWfqypb09DBqUcxI0dGhtbt++wIABO1m58jV0Ohg6FM6ceZdLl44webIf8+eX4fJlgO3Am/j41OHdd79nwYLJxMWdQKVyRquNxtHRjYSEaHQ6HY6OPahSZTKff14Wa2t9LKNH6+OdOBHKlXsUQ2AgfP31flDOoESp2yjNHs161arenguX9hERczvLbNibnUcUmdkwUTT4+WFQnUVTMVadxdyYdCk2ISGBH374gX379hEaGopWm7UI0M2bBbPmL4QQpraDLkbpKpGSok/qHt9QkPlZtPTzHk/sIiLucfv2BapXb4mjoz6pA5g//z5K5WY+/HAWp06lJ3UAb+Du3oxbt45jb18fleo45uZnUCp/x8npd2JigunefTIBAf2IiyuJWv3ounFx+qQuKQnGjXuU3KUndVqzYVR/xYv2/fviWdGdsNsPOLL2LzbtmETFhlXoObEvJcvqj5/ccJgVa4YxgKKz1CkKv0aNMKzOogn4+UEYpt3MkpiSmOdzDU7sPvzwQw4dOkSfPn0oVaoUCsWz1TkSQogiJSAAqGKUoZycshYJXrAg5w4QOS3Trlz5FQAffDCTypVBo0mvF7ccrdaCixf7cuzYo/Pd3MDFZToPHrRg1qyRODmtBurh5FQPW9u3efCgHqdPV0SnK5ntut7e+mRu3LhHyd2gQbBkiZY07QxqveJFryk9sbLSL1+WrupNq49bkKpJJD4kiVKVy6BUKild1ZtuY3qyZfJatv0xg1q12siSpyg20pPLs8duct9E10hOynvVEYMTuz///JOdO3fSvHlzQ98qhBBFT/pGCepDG+NVIc5bB4jsbt48i4WFNZUrNwTglVf0x+fPPws059gxx4xzBw6ECxcgMrI5CoUVcXFnqVABhg8HX1+IjKyLSuVBRMQ5KlbsmuN1y5XLmtzNnQta7RmsnG7Tvn/fjKQOICUlEY1OTdO+zdk0YiN3LgbiXUv/gL9SqaTxO61Yd2w1N2+eoWJF6VQkihdTbmZJTIzN87kG/8jk7OyMi4uLoW8TQoiiy7M0jBxl9B2w6R0aMntah4a0tGRUqqw/k7/yCri4JAKPnh1u3RrefDPz+GZotcn06qVP1tKPK5W2aLWJT7xuuXL6mbpHwrF31OBZ0T3LeRqNGhQ6SlUqBUB8ZNZZBrdy7uiUGmJjw3O/QSHEczE4sZs0aRLjxo0jMTHv671CCFFkBQSYbOjcOjREReX+Hmtre1JTk7M83/zXXxAZ6QSEZhw7dAi2bdOPp9Vq0emSUSrtWLNG/4zcmjWg02nQaMJRKh2feN3AQP1mj0dciYtRce/6gyznqVRmoFNw/5p+QcrOxT7L66GBD1BoVTg4uOZ+g0KI52JwYjdz5kz27NmDu7s7tWrVon79+lm+hBCiWPDze1TapLLxG8E+XrR36FD9r+nP3OWWZDVp0g2NJo39+/XF4P/6K30Z91XgBI0a3cg4d/lyfVKm0fwMqClZsjuhofpl1dBQUCp3otXGUKrUq7leNzDw0TKstTV8/jnY2NQjJb4s+1YeJjn5UYJpaWmDSmHGidXHcHRzpkyNchmv5aWrgxDi+Rlc7mTChAlPfP277757roBMScqdCCHyzM+PHQFVjLIL9nHP0qEhNjaSVatGcuzYxoznbczMbFGrXwZmAx5YWZXh1Vf74+o6k+XLH13Pzs6HpKQ7zJiRxHffRZCQsBzYhEJxCYAqVVoRH9+VmJg7pKT8gZVVJJaWlpQoUY3AwEGkpb2OjY0q912x/VrhWUnfveHour84s/M/KjasQqfPuxfZrg5CFCaJibG8956j1LF7nCR2Qog88/U1WnmTxxlax2727H4cOPAroMPevgQ6nY74+EgsLGxJTdW3EvP0bEnz5q3YvHkaI0fuYOvWjg9LnnwCLKZp07dwdPRkz57F6HRm2NpWJyHhFA0bdubatX+Jjn4AKHByakP79i3R6ZI5e/YgN2/6oVB4M3jwcl599eWMOKWOnRD5RxK7XEhiJ4TIEyN1l3iSvHaeGD++E6dP76ZUqYoMGbKE2rXbodVq+d//KhMScgNv7yYkJ6cRGnoKD4+KeHlV5cyZPXTt+g1Hjx4kJORQxvHTp3fz5ptfEx4exeHDP/HGG19w/fp/XL/+38P/vsC5c38wdOhyXn55AACnT//HunVfc/36QUaN2kiTJl0z4syp80R69wbp6iCE8Zg0sdNoNMyePZsNGzYQFBREampqltcj0ytrFkKS2AkhnihzD9hcZuqepxWYodauHc/69ROoXr0lX311kIQEZUZrL7VazejRzQkI0Pd1srZ2JCkpBicnd1JTk0lMjAHA0dEdb+8a+PsfpFat1ly6dAxQ0KPHBEJCrnD06G9MnryPsmWbcv26lr/++oTDh5czbdoxqlRpDEB4eBpLlvTkzJk/mDPnDGXKFM7enJJMiuLKkMTO4D/xEyZMYNasWbz77rvExMQwfPhwunfvjlKpZPz48c8asxBCFKw8JnVLl+qfj3t8k0FUlP740qX684xh+/bZ2Ng48NVXB/nmGyVjxuiXQAHMzMyYMeMfvvrqFGZmbUlK0i/JRkc/IDk5AQeHpri6DkClsuTChf0olSrCw0OwtJyMTneXS5d6c/Dgr/Tr9wNlyzZl5kz47jslFy8uwN29Elu3zsy4r8WLzbG2/hUbGyf++GO+cW7OyM6d28/kqZ2Zv7QvKzd8zvylfZk8tTPnzu0v6NCEyFcGJ3Zr1qxh2bJlfPnll5iZmfH+++/z888/M27cOE6ePGmKGIUQwvQCAvRLr094pu7xVmDpyV3mTQ9xcfrzntfx47+TmBjLyy8PJCFBmaW1V3pyFxgIy5bVR6Xaj5NTGgMG/AZAhw6fUbXqcZycfsHe/iuUShU//3yLTz+9RErKV2i1JTh3bilmZla0b9+f69fh9Gl9F4uoKDMaNBjMyZNbuHnzXsZ9JSZa0br1Rxw4sNqgYqn54dy5/axYMwzHmgp6zu3LsM2j6Tm3L441FaxYM0ySO/FCMTixCwkJoVatWgDY2dkRE6Of7u/cuTM7d+40bnRCCJEf/Pz0z9Q9RXorsMxlSW7dyrqTNbdWYIbavVtfOK5378kZrb2srR8ld0ePZi1DMnEidOvWAwsLa86e3ZoRZ2joDuztXyE2tjRbt0KpUqBSAexAp+vO6dMO/PgjKJX646VKwb17fdFo1MyduzvLfb3+en+SkuLx9z/0/DdoJFqtlm1/zMCnuRfdxvSkdFVvLKwtM9qY+TT3YtsfM7L1NReiuDI4sStTpgz37+uLT1aoUIG9e/cC8O+//2JpaWnc6IQQwtQyL8HmYaNEeiuw9ORu/vzsZUuMIT4+EpXKHCsr/fPA6a290pO7uXOzJnXlyunfZ2PjQFJSfEacSmUUOp1XRpylSsH48aBQRKHVemWMY2OjP16qFMTGOqJUOhAbG5nlvkqUKANAXFzheZb65s0zRMTcpkmPVtmep0tvYxYRc5ubN88UUIRC5C+DE7tu3bqxb98+AIYOHcrYsWOpVKkSffv25YMPPjB6gEIIYVJ5WIJ93LO0AjOUubkVOl3WWabsrb3036cndQAaTRpmZuYZcbq7W6LTPXror1cvqF0bnJwsgaQs49SurX9dp9Oh1SajUFhlua+0tGQALCysjHWbzy02NhydUkPJsu45vi5tzMSLxuDE7ocffuCbb74B4N133+XIkSN88sknbNq0iR9++MHoAQohhMn4+T3T256lFZihfHzqotVqOH16T8ax7K299N+nP3MXFRVCXFwkHh4VMuKMi6tOUtIhdDp1Rpznz+uPa7X7SC+MsHSp/viaNZCcfAxIxcKiepb7OndO/0N9mTLVjHejz8nBwRWFVkXY7Qc5vi5tzMSLxuDE7vDhw6jV6ozvmzRpwvDhw+nUqROHDx82anBCCGEyD5dgd9DFoFp1T2oFNn++mlWrpjBuXAdGjmzOhAmvsX//6lzHSktL4ejRjaxfPwlf3zFs3TqLe/eukZKSSLly+meZ58zpz44d8zh9Oihba6/Mz9wFBsIvv3wJQL9+P2TEaWn5MWp1MG3b7sTFBe7f1y+56nQfo9Od5513TmBtDYmJ+uP370NS0kJKlqxE6dJtsmwU2bVrIVWrNsXHp/ZzfPDGVb58PUo4luXkhsPZnqOTNmbiRWRwHTuVSsX9+/dxc3PLcjwiIgI3Nzc0Go1RAzQmqWMnhACeuQBxbq3A7t9PZNSo94mO3gWoAcXDIr36vw8tLW1p334AgwbNRalUkpAQw+bN09m792diYkJxcnLH3NySmJgwUlOTUKnM0GjUqFTmaDRpKJXmaLUalMou2Nh8zfffN85o7ZWe7JmbXyYxsTaOjq7MnXs/S5wREU3QaJLo1+8YU6bYodGAUqnFyakKHh6e9OjxF5MmWTw8fgJoTf/+02jV6ouMJFap/JOAgNf44otfadvW+N04nkf6rlif5l40fqeVtDETxY5J69jpdDoUCkW24xEREdja2ho6nBBC5K/n6Cphaalv9ZU5qYuNDeerr8oSHb0dC4syVK26hHXr1GzdqmbTphR69BiDhYUVu3b9xBdf1Cc8/C6jR7fgjz/m0bLluyxYcInVq0OYPHk/Tk5uWFraYG/vikKh4L33xj581k6DtfVA4DpJSS25fXsd8GhDhbn5aeLj66PTafnqq9+yxfnZZ0t48OAW69e/jpNTJCoVNGigZOjQX7h69STbtr1FnToJKJXH0Gpfp0KFxnTq9EmmDRi7uH79bRo06EKrVu8b//fkOdWp044BveYQ469j3bDVzOn+A+uGrSbGXydJnXjh5HnGrnv37gBs27aNjh07ZtkBq9FoOH/+PFWqVGH37t2midQIZMZOiBdbfJKKxDVb+Kf2R9mSurx2jcjceUKr1TJgQBmiou7Tvfs0qlUbSe3aWceIioIzZ+DYsZ78++86LC1tsbNz4ssv95KQUJ3KlUGlimDEiMaoVCqGD99LRIQX//33JXv3zqFv36msXz+R1NQkbG1L4+rqQVDQGb74wheNJpUNG6Zy//5VFAoVo0dvpGnTbhnXvXcPypfXx3P58nEmT+6CWq2mZs3+vPHGQCpXLs+pU38ye3YftFotGk0aPj4NGTduC+bmVly4cIBduxZy4cIBGjTowujR67G0LLx/d0rnCVFcGTJjZ5bXQR0dHQH9jJ29vT3Wmf7msrCwoEmTJnz00UfPGLIQQphWfJKKoaNsuBQ7kiHl48i8gTX9eTR7e/3u0Ccld9bWj17fvHk6UVH3efXVkfz550i2b9c/p1a79qNxv/hCv5RpabkWV9d/CA+/yYABPzNrVnUiIqBECWjadBYxMaFMmnSOqVPLEhEBLi6zaNjwLjt2zGXOnADGjBlOZOQ2EhLuAjBrVs+HEakwM2tP7drzqVtXv6khKQmWLQN/f6hZU/8cYLVqzZg37zy//76A3bt/5t9/52W5L0dHN5KS4rh1618GDCiTcbx69RZ8+eVaWrTogUpfAK/QUiqVVKzYoKDDEKJA5TmxW7FiBQDlypVjxIgRsuwqhChSEtds4VLsSCItPVlw3JYh9fRLqZk3Q4B+Ni6vvV537JiLubkVrVpNZd8+feeG8eMfJXenTmUeV4ulpX6BZOfOxUREvIdOB+HhKezb9zPt2/cnIsKHiAjQ6SAyUkG3buP4999aHD58nNjYDYAWpXIF1avvxt9/Ey1aDOb8+ZmkpFhx8yaEhkLZsvpf/f31CZ6//6PjSmVpQkO/p2zZ7zAzO0K7dmE4Olrg7l6e8uXrkpqahL//YeLjIzE3t6JMmap4e1c39m+FEMKEDN48kZSUhE6nw+bhUubt27fZsmUL1atXp0OHDiYJ0lhkKVaIF9TDsiar47ux4Hj9jE0FvXrpy3s8S4Hh4ODLDBlSnVat3mfEiLWcP69P6DQafQeH3r3B11f/vU4HKtUxNJoWODiUJTb2DubmatRqUCq3otF0Y+DAS/z+ezUSEkCtBjMzsLUFO7tWhITYoFTuRqvVFxD28NARFFQDtboB9va/Eh2tXxp2c3t0T6Gh5HjcFMWUhRCmZdLNE2+++SarV+u370dHR9OoUSNmzpzJm2++yaJFi54tYiGEMLEdAVVwtlMbrWvEjRunAWjQ4DVAP0M3frw+qdNoYNWqR0ne0KFgaXkLgLi4FoAGa+tURo0Cc/NbgC2+vtVIStInc6NG6X9NSoL79xui0QRm6QwRFaUgMfElEhICcXPTb6Bwc8t6T7kdl6ROiOLN4MTu9OnTtGzZEoBNmzbh4eHB7du3Wb16NfPmzXvKu4UQIp/5+upbhlWuDI0aGa1rhEajr+epUplnHKtdO3sDi9694ZVXoHXr9PqfFgB88EEqzZpB48Zq4NGza4MGQbNmmTtMqNDp1Fk6Q2Q+3quXfndsTveU23FJ6oQovgxO7BITE7G3twdg7969dO/eHaVSSZMmTbh9+7bRAxRCiGfi58eO6Zf0BYhHjsrYBWusrhGlS1cGICDgZMax8+f1y6+Z+frCX3/B4cMeAOh0pwEFK1facfw4/PuvBxCLThcC6DtAHD/+qMOETheAQuGRpTMEQFpaAGZmHqxZo69nl9M95XbcmB0yhBCFi8GJXcWKFdm6dSvBwcHs2bMn47m60NDQp677CiFEvnjYVQLP0lmm0J7UNSK9u0JeVa3aFGtru4zOEo8/Y9ev36Nl2fnzITm5LeAKnEeprE5CAkybBqmpXQBrGjX6GWtrMo4nJICl5T10uj+wsnovS2cIK6uLJCcfx8PjPUJD9UWKQ0Oz3lNux5/lXoUQRYfBid24ceMYMWIE5cqVo3HjxjRt2hTQz97VqyctW4QQhcRjSV10dNakbsgQ8PEhyzN3Cxboz8ur1q17Ex8fydq1v2VJ6saPh+7dYfBg/cYJAI3GElfX0oCOjh2/RK3Wv6bROFGnTk8uX17MwIHxGcfVaqhefR4WFpaMGNEHrVY//v37YGk5Cycndz79tBvR0fpn8aKjoU8f/T316UOOx5/nXoUQRYPBid3bb79NUFAQ//33X5ZixO3bt2f27NlGDU4IIQyWPlv3mJy6RgAZ3RVcXPSvZ6q9/lT9+0/D3NyKDRt6oVQezkjq0uvYNWigHxdApVpEePg5FAolV68uxdk5GoVCX8fu/fe/IjExlr1738bFJRGFAmxtfTl5chrdun1FzZqO1K+vTxqtrOZy6tQvvPfeODw9LahZU1+epWZN/UYJ0P+a0/HnuVchRNFgcLmTokzKnQhRzOWyBJsuc9eIxz1L5wmAgIB/GTWqGVqthvLlu/LFF7Px9i6bcf6pU/+yZMmXhIQcwcbGkVGjNjJ9eg/s7NypW/db3n77HdzdrTh3bh+TJ7+Bi4s35uZeBAX9Rfv2Axg69GeUSiVnzpxm48bZ+Pv70q3bV/TvPw2FQkFSEty8CZ6eWTdFJCVBWBiULJn1nnI7bshnIITIX4aUO8lTYte9e3dWrlyZ52foevXqxezZs3FL/zHRiBYsWMCPP/5ISEgIderUYf78+TTKY79HSeyEKOb8/NgRUCXHpM4YkpL0mxri4rLO+gUEXOSbb14jNTUIAHt7VywsLElOTiAhIRoAO7v6zJ9/gBIlHLh27TJTpnxOZORf2NmVoFq1ppibW3LnzhWCgi4CoFLZU6dOaywtLbh//xaBgWewsPCiZ89v6d7944yYDOmakVv8ho4jhMhfRq9jt23bNsLCwoiNjX3qV0xMDDt27CA+Pt4oN5PZb7/9xvDhw/nuu+84ffo0derU4dVXXyU0NNTo1xJCFDF+fhAQYNJLpKTok6LHNyBYWtbAxuY25uZnMDNrj0JhTmpqEhYWtri4vEu5cnepXv0UKpX+L+SSJatRseJevL2vYmc3gLQ0BYmJsZQqVYsKFdZRpsx/uLoOQKPRkZwcj6dndSpV2oqX100uXfo447qZN4PExenje5b4DR1HCFF45WnGTqlUolAoDBr42rVrlC9f/pkDy0njxo1p2LAhP/30E6Bv+Ozl5cXQoUMZPXr0U98vM3ZCFFNPWYI1psd31j5rp4fcxjHW+YbGL8WLhSi8jL4Ue+jQIYODaNKkCZZGfDI3NTUVGxsbNm3aRNeuXTOO9+vXj+joaLZt2/bUMSSxE6KY8vPT16vL42MZz+vx/rKgT4rS24g9fjy3ZCm3cYx1vqHxS1InROFkSGJnlpcBW7dubZTAnkd4eDgajQZ3d/csx93d3bly5UqO70lJSSEl05pCbGysSWMUQhSQgAConH+XS+9eMX/+o2OZOz08fjy3ZCm3cYx1vqHxS1InRNFncLmTomTq1Kk4OjpmfHl5eRV0SEIIY8rcXSKfZusg9+4VhnZ6MLQLhrG6ZhhrHCFE4VNkEjtXV1dUKhUPHjzIcvzBgwd4eHjk+J6vv/6amJiYjK/g4OD8CFUIkR/Se8Dmw3N1meXWvcLQTg+GdsEwVtcMY3bfEEIUPkUmsbOwsKBBgwbs27cv45hWq2Xfvn0Z3S8eZ2lpiYODQ5YvIUT+OnPjBoMXLaLdt9/SfORI3pw8mV/++ovE59l66evLjnv1oU3bfE3qcuteYWinB0O7YBira4Ypum8IIQqXIpPYAQwfPpxly5axatUqLl++zCeffEJCQgIDBgwo6NCEEI85e/MmTb/6ivpffMGOf//F3cmJSp6exCUl8eFPP1G6f38mrl+PVqt9tgu0aZuvy6+Qe/cKQzs9GNoFw1hdM0zRfUMIUbgUuc4TP/30U0aB4rp16zJv3jwaN26cp/fKrlgh8sdhf39enzSJCh4ejH//fTo3bIiZSpXx+s2QEH7auZM527fzfqtW/PrFFyiVefw5M720SQEkdpB79wpDOzoY2gXDGF0zjDmOECL/GL3cSWYPHjxgxIgR7Nu3j9DQUB5/u0ajMTzifCKJnRCmF/jgAfWGDaN+hQqs/fI7FApb3JxSs50XGm3BntMH6T9vOl+//TaT87KkmnkJNh+SupySoPRjkD0JksRICGEKRi93kln//v0JCgpi7NixlCpVyuDCxUKI4m3eH3+gUipZ/cUYRq9+icg4C5YOOYe786Pk7kGUBYMW1MHFvhrD37zJ7G3bGNG1K052dk+/QD4mdY+330o/ll7/zcXlUfstacklhCgMDE7sjh49ypEjR6hbt64JwhFCFGWJKSms+PtvBr36KuYqByLjLLgbacWgBXUykrv0pO5upBUAw998kznbf2f1gQN81qVL7oP7+eln6/KpXt3j7beGDAGFQv/91av6/65cWX9ecnLWgr8pKZLYCSEKhsGbJ7y8vLItvwohBMC+c+eITkhg4Cuv4OaUytIh5yjtkpyR3J2/ZZ+R1JV2SWbpkHPUKmdP54YN2XjsWO4Dp5c2ycfn6pycsu8WTS8FolBA+l+Dj5cPGTIk5+fXhBAiPxic2M2ZM4fRo0cTGBhognCEEEVZ6MM6GeUf1pZ0d86a3H0wv26WpC59ebaChwehMTHZB0wvQJyPz9Vllnm3aGSkvlNDXJx+pq5KFf1/z58vfVaFEIVHnpZinZ2dszxLl5CQQIUKFbCxscHc3DzLuZGZmw8KIV4o5mb6v1I0Wm3GLlh351Qm9brCB/PrZpw3qdeVLM/cqTUazDPtmgUe7X7N5wLEj8up/Vb//vpfpSWXEKKwyVNiN2fOHBOHIYQoDtJn6k5evUrrmjUB/UaJsWuqZjlv7JqqWWbsTl69mvHeLAo4qYOc22+tXJn9vDVrZMZOCFHw8pTY9evXz9RxCCGKgebVqlGldGkW/fknrWvWzLJRorRLMpN6XWHsmqpZNlTcibjEPwEBbP3mm6yDBQQAVTK+VavTOHduH5GR9wBwdS1D7drtUKkM3gOWZ48/P9erlz6pCwjQP2NXpYp+9m7NmkfP4XXrdoWwsFMkJydga+tI9eotKVHC02QxCiFEZgb/jahSqbh//z5u6aXVH4qIiMDNza1Q17ETQpiWQqHgk06dGLFiBfvOBjHvj7eyPVO3dMi5jGTvo59qkZz2HWVcXXm9YUP9IBlLsF2gd29iYsLYufMn9u5dRmTk/SzXK1GiNK++OojXXhuCg0MJo95LTu230p9I0eke/bezMwwerGPy5C1cuPATfn4HsoyjUpnRuHFX3njjc6pXb2HUGIUQ4nEGb57IbUdsSkoKFhYWzx2QEKJo++jVV6nr40OvWWOBs9k2SqQnd6Wc47lydzj7zv3Lgo8/ztKZIn0JNijoIl980YBt22bRpEk35s49x5YtaWzZksbs2ad56aXX+f33aQwf/hJ37wYY9T5yar9laan/vkoV/QYKFxcwM1OzZs1HXL/+FmZmamrUWMeqVXFs26bF1zeMgQNnExx8kdGjW7Jly0yjxiiEEI/L84zdvHnzAP1P5D///DN2mQqJajQaDh8+TNWqVXN7uxDiBWFjacnOcePoNGECe8+8Sfdmbbkb2RF35woAxCYmsun4TgLuDuLWg7us+Pwz3sjcFvDhEmxYWDDjxr2Cvb0r3357AnPz0nh7PzqtQoV6DBmyhObNv2Hx4k6MHfsyM2b8g4tLKaKi9DtWM5+fLihIn7BlfhYupw4T1tb6QsNhYWBllfVY5s4TK1d+xr59Kxk8eBXVq/fN0lLMwcGV9u0/pWbNwezb9y0rVozA2tqOjh0/BqRThRDC+PLcUszHxweA27dvU6ZMGVSZfrq2sLCgXLlyTJw4Mc99WwuCtBQTIv/EJyUxd8cOluzeTXB4OLZWVliZmxOVkIAC6NakCSO6daNxlYfP0T22C3bmzF74+x9i3Lj/+OEHD5KSYOJEKFfu0TUCA2HcOLCwuENKyks0bPg6ffosZ/Ronni+tTX88EPWbhKZO0yke1o3iStXTjByZDM+/HARt279L9sYSUn6nbP+/lCjhg4bm8EcPLiCFSvuotGUkE4VQog8MUlLsVu3bgHQtm1bNm/ejLNs/RJCPIGdtTXf9ujBqLfeYs/p01y9e5eUtDRK2NvzesOGlC6RwzNxD5O66OhQjh3bSN++P6BS6ZO6pCR9UpaerKUnaUlJAGVo1eoz9uyZRIcOM0hKcn7K+fpEztk55w4Tzs5ZN05Azt0kdu1aiIdHeVq0GMT589nHCA3VJ3VJSXDxooKRIydw4MAv/PHHSm7e/FI6VQghjC7PM3bFgczYCVGI+fqyA/2Gic2bf2Tt2nGsWHEXe3uXLElZ+nLo0qWPvp84ERwdHzBwoBcffDCTmjWHPvX8zDN5Oe1+Td/pmlvh4fj4aPr2dadPnyl06zYi1zFCQ/VLrk5O4OYGGk1vLl78lzJlrkpRYyFEnhh9xm748OF5vvisWbPyfK4QQmQswVIf2ugbwd69e5Vy5Wpjb+8C6JOwiRMfJXdz5+rfmjVJc6dMmWrcvRtA5855Of+R9A4T6YlZeuHhJyVeYWG3UatTqVGj1RPHcHOD4cPB11d/PCamNcnJa3F21jJkiFKSOiGEUeUpsTtz5kyW70+fPo1arabKw2djAgICUKlUNGjQwPgRCiGKr1y6S6SlpWBmZpnl1HLl9DNv6Uka6L/PnKSZm1uSlpaS5/Mzy6nDxJO6SaRfx9z8UZy5jVGu3KPjCoUloOO999Jwds56j0II8bzyVO7kwIEDGV9dunShdevW3Llzh9OnT3P69GmCg4Np27Ytr7/+uqnjFUIUF76++qSuTdts3SUcHFwJDw/KUl4pMFC/nJrZ0qX646DfnR8eHoy9fYk8nf+4nDpMrFmjP56T9OuEhQU9dYzAwEfH1eogFApbfvvNMtexhRDiWRlcx27mzJlMnTo1y+YJZ2dnJk+ezMyZUqNJCGGANm2hUaNsh5s06Upo6G3On9cX+338GbvPP9f/mr5BIjAQzpzZQ1RUCE2adM3T+Zk9/nzc0KH6X9M3Q+SUgHl4lKds2Zr8/feKJ44RGqq/ZmgoODtrUSpX4uLS7YljCyHEszI4sYuNjSUsLCzb8bCwMOLi4owSlBCimPPzY8e9+rm+XKNGK7y8qrNjx1xu39ZlSdImToQWLfS/pidrY8fq2LBhLhUq1MfKqtFTzx83Tl/PDnLuMOHjo/81c3IXHZ01RoVCQadOg/Hz28a1a7dyHKNPH/37kpL0v9art5Pw8BsMHjz4iWMLIcSzMjix69atGwMGDGDz5s3cuXOHO3fu8PvvvzNw4EC6d+9uihiFEMVJ5iXYHGbrQJ809ejxLX5+2zl6dAbW1tk3PqRvqLCy0qHRTOLKlb288843ODgonnh++mv29vrjOXWYgEebIVxc9K9b5vA4XJs2vXFxKc28ed2wsorMNoabG9Ssqb9e+fJXWb9+ILVqteGll5o8dWwhhHgWBpc7SUxMZMSIEfzyyy+kpaUBYGZmxsCBA/nxxx+xtbU1SaDGIOVOhCgEfH3ZUfnLXJO6rKeOYcOGKbRu/RFt2oykQYOKWV6/c+cqq1b9wD//rKRXr0m8++4YAKN0nkj3tO4Qt2/78803bbC3d+Wdd36gTZvOqFRmmd6fyO7d69i+fSTOzh5MnXo4o6+tdJ4QQuSFIeVOnrmOXUJCAjdu3ACgQoUKhTqhSyeJnRAFLH0X7BNm6x63c+cC1q4dR1xcJHXqvEzZsjXR6XQEBp7nwoUDODi40qfP97z66kcmDj539+5dY86cfly5cgJXVy9eeuk1rK3tiYkJ459/tpGYGEOTJt0YOvRn7OykvokQwjD5ktgVRZLYCVGAfH31z9U9VtokL1JSkjh6dAMHD/5KZOQ9QEGJEqVp27YvLVq8k6XkSEG6fv0Uu3cv5vr1U6SkJGBt7UDt2u3o2PF/eHj4FHR4QogiyuiJXffu3Vm5ciUODg5PfY5u8+bNhkWbjySxE6KApCd1BszUCSGE0DN65wlHR0cUCkXGfwshRJ6ltwobadgsnRBCCMPlKbFbsWJFjv8thBBPVbkyULmgoxBCiBeCweVOfvnlF27dumWKWIQQxY2vLzsCqhR0FEII8cIwOLGbOnUqFStWxNvbmz59+vDzzz9z/fp1U8QmhCiq/PzYMf2Sfgm2cmV5rk4IIfKJwYndtWvXCAoKYurUqdjY2DBjxgyqVKlCmTJl6G3gTjchRDGWvvtVkjohhMg3Bid2AKVLl6ZXr17Mnj2buXPn0qdPHx48eMD69euNHZ8QoigKCCjoCIQQ4oWUp80Tme3du5eDBw9y8OBBzpw5Q7Vq1WjdujWbNm2iVatWpohRCFFUpBcgpj60kQ0TQgiR3wxO7Dp27EjJkiX58ssv2bVrF0459eARQrx40pO6ZyhALIQQwjgMXoqdNWsWzZs3Z/r06dSoUYOePXuydOlSAmTpRYgXV+ZWYZLUCSFEgTE4sRs2bBibN28mPDyc3bt306xZM3bv3k3NmjUpU6aMKWIUQhQFnqVlo4QQQhQwg5diAXQ6HWfOnOHgwYMcOHCAo0ePotVqKVmypLHjE0IUdhlLsAUdiBBCCIMTuy5dunDs2DFiY2OpU6cObdq04aOPPqJVq1byvJ0QLxp5rk4IIQoVgxO7qlWr8vHHH9OyZUvpGyuEkKROCCEKEYMTux9//NEUcQghihpZghVCiELnmQoUCyFecL6+sgQrhBCF0DNtnhBCCNq0lV2wQghRyMiMnRDCMH5+7LhXv6CjEEIIkQNJ7IQQeZd5F6zM1gkhRKGTp6XY2NjYPA/o4ODwzMEIIQoxX1/9TJ0swQohRKGVp8TOyckJhULxxHN0Oh0KhQKNRmOUwIQQhYivLzvoAm0qS1InhBCFWJ4SuwMHDpg6DiFEYVdZkjohhCjs8pTYtW7d2tRxCCEKq/Ql2MoFHYgQQoineeZyJ4mJiQQFBZGamprleO3atZ87KCFEISHP1QkhRJFicGIXFhbGgAED+PPPP3N8XZ6xE6KYkaROCCGKDIPLnQwbNozo6Gj++ecfrK2t2b17N6tWraJSpUps377dFDEKIQpC+mydEEKIIsPgGbv9+/ezbds2XnrpJZRKJWXLluWVV17BwcGBqVOn8vrrr5siTiHyjU6n4+CFCyz6809O3bhBYkoKjjY2vFK3Lp906kR1b++CDtH0ZAlWCCGKJIMTu4SEBNzc3ABwdnYmLCyMypUrU6tWLU6fPm30AIXIT2dv3qTXzJlcCg6mupcXbzVtiq2VFWExMWw8doyfdu6kY/36rP7iC0o6OhZ0uMaXUYC4C4yUHrBCCFHUGJzYValShatXr1KuXDnq1KnDkiVLKFeuHIsXL6ZUqVKmiFGIfPHP1au8PG4clT09Ofj997SqUSNL/cZZAwfy+/HjDPv5Z5qPGsXRH37Azcmp4AI2tsxdJXpLUieEEEWRwYnd559/zv379wH47rvv6NixI2vWrMHCwoKVK1caOz4h8kVkXBxdJk+mdtmy/Dx0KAqFgqt372Y7r16FCmwaPZp3pk3j7R9+4NDUqU8t3l2kSFInhBBFmsGJXe9Mf+k3aNCA27dvc+XKFby9vXF1dTVqcELkl1/+/puYhATmDhpEn6lTISUl95MtLZnaty8fzJvHyatXaVq1av4FaioZs3UFHYgQQojnYfCu2IkTJ5KYmJjxvY2NDfXr18fW1paJEycaNTgh8oNWq2XRn3/So0UL7KysICWFSWZm+FpbZ/uaZGYGKSk0rlyZ8h4eLNy1q6DDf36yBCuEEMWGwYndhAkTiI+Pz3Y8MTGRCRMmGCUoIfLT5Tt3uBkSQr927TKO+ZibU9XCItuXj7k5AEqlkr5t27Lj338LKmzjkqROCCGKBYMTO51Ol+MzRefOncPFxcUoQQmRn6Ie/qBSxsBHCUqXKEFMQkLRLsqdPlsnhBCiWMjzM3bOzs4oFAoUCgWVK1fOktxpNBri4+P53//+Z5IghTAly4ezcEkpKVhbWub5fcmpqZibmaFUGvzzUeEgS7BCCFHs5DmxmzNnDjqdjg8++IAJEybgmKmGl4WFBeXKlaNp06YmCVIIU6rg4YGFmRn7zp+nc8OGeX7fvvPnqeHlVbR3xUpSJ4QQxUqeE7t+/foB4OPjQ/PmzTEzM3hDrRCFkou9PT1atGDxn3/yWoMGeXrP/chItvv5seDjj00cnQkFBABVCjoKIYQQRmRwdta6dWtu3LjBihUruHHjBnPnzsXNzY0///wTb29vatSoYYo4hTCpwa+9hu/Bg6w7fBiAW2lpOZ53Ky0NnU7HrG3bsLW0pFfr1vkZpnFk7i4hs3VCCFGsGJzYHTp0iE6dOtG8eXMOHz7MlClTcHNz49y5cyxfvpxNmzaZIk4hTKpp1ap81qUL32/cSBlHR8bodCjU6mzn6XQ6gpKSOP3vv6wbMQJ7G5sCiPY5SA9YIYQo1gxO7EaPHs3kyZMZPnw49vb2GcfbtWvHTz/9ZNTghMhPsz74AI1Gw4Jdu7D18uL9Vq1oU7MmNpaWRMbHs+7QIXb8+y9RSUlM6dOHuuXLc+XOnYz321ha4l2yZAHewVNIUieEEMWewYndhQsXWLt2bbbjbm5uhIeHGyUoIQqCSqVi/scf07lhQxbs2sV3a9ei0+kyXlcqFLhYWlLZ0ZHNu3ezeffurANYWrJ5woTCndxJUieEEMWawYmdk5MT9+/fx8fHJ8vxM2fOULp0aaMFJkRBUCgUdGzQgI4NGnA7NJRzt26RkJxMbFISi377jamZihRndistjbEpKSQ+qRVZQUqfratc0IEIIYQwJYMTu/fee49Ro0axceNGFAoFWq2WY8eOMWLECPr27WuKGIUoEGXd3Cjr5gbAlTt3WLZxY0ZHihzl8ExeoSBLsEII8cIwuLLq999/T9WqVfHy8iI+Pp7q1avTqlUrmjVrxpgxY0wRoxDieUlSJ4QQLwSDZ+wsLCxYtmwZY8eOxd/fn/j4eOrVq0elSpVMEZ8Q4nn4+ckSrBBCvECeucqwt7c3Xl5eAEW78r4QxZUswQohxAvnmZpcLl++nJo1a2JlZYWVlRU1a9bk559/NnZsWUyZMoVmzZphY2ODk5OTSa8lijadTkdIVBRX7twhOCwMtUbzxPM1Gg13IyK4cucO9yIi0Gq1Tzw/VacjKC2Nq6mphBbG5+r8/Ngx/RI76CJJnRBCvGAMnrEbN24cs2bNYujQoRm9YU+cOMEXX3xBUFAQEydONHqQAKmpqbzzzjs0bdqU5cuXm+QaomiLS0xkzaFDLNy1iwu3b2ccd3N05KNXX2XQq69mKUUSGh3N8r/+YvHu3QSFhWUcr1iqFJ906kT/9u1xyVSrMUWjYUxEBH8nJRGTKfmraWHBy9bWaHPYLZvvMrpKSA9YIYR4ESl0mQt15UHJkiWZN28e77//fpbj69atY+jQoSavZbdy5UqGDRtGdHS0we+NjY3F0dGRmPXrcShqHQPEE/kFBPDG5MmExcbyRqNG9GzVCncnJxJSUtj133+s2r+fpNRUfvr4Yz7u2JHfjx+nz6xZ6ID3W7akW9OmONrYEBkfz8Zjx9h47BhW5uZsHDWKDvXq8a2vL1M3bkSlUOBqZYW9hQVKIE2rJSIlhdjUVMxVKv4YN44O9eoV4Afhx46AKpLUCSFEMZKYGMt77zkSExODg4PDE881eMYuLS2Nl156KdvxBg0aoC6My1Ki2Dt1/TrtxoyhTrlybP766yyzbABDXn+d/u3bM2vbNv63cCH/Xb/O8r/+olnVqnRv2hRbKyvuRUZyLzISgJre3ni6uPDnqVN0njiRLo0aseXkSd5o1IiX69bF3toaN0fHLNe4GxHBj1u28N6PP3J8+nSqlilDUFjYE+vaGb1ThZ8fBAQAVYw3phBCiCLF4Bm7oUOHYm5uzqxZs7IcHzFiBElJSSxYsMCoAT7OkBm7lJQUUjL9wxobG4uXl5fM2BUjao2GSh9/jJuTE6uGDaP3999DLsmUTqcjKDGR8MRE6pUvz7WbN7HN6TxAASQAaqWSZK0WV0tLtGo1VjodKBSUdHLCTJn1EVW1uTlJgKW5OTvGjuWt8eNzjQUwbqcKWYIVQohiy6QzdqDfPLF3716aNGkCwD///ENQUBB9+/Zl+PDhGec9nvw9bvTo0UybNu2J51y+fJmqVas+S5hMnTqVCRMmPNN7RdHwx7//Ehgayu9ff60/kJLCJDOzXLtDDHz43zZWVtgC84DMhXpSgVAgCRgP2KlU/KvV8o6lJcfUasYqFFgBZSwssMp0jVtpaYxNS+Prnj0ZMHcuh/z9nxqL0TtVSFInhBAvPIMTO39/f+rXrw/AjRs3AHB1dcXV1RV/f/+M8/JSAuXLL7+kf//+TzynfPnyhoaY4euvv86SaKbP2IniY9Gff9KkShXqV6jAlTt3AHLtDqHR6YhITqZK6dKcunYNe/RJXb1Mf1aTgFs6Henp1tm0NGpaWPB3UhIOCgUVFQosdDp8zM2xfvwaajWNK1emSunSrD9y5ImxpJ9vNLIEK4QQgmdI7A4cOGC0i5csWZKSJmyYbmlpiaWlpcnGFwXvxJUrjOnRI0/nhmk0pGq1dGvalB82beJpi/FJQBrQ396eERER1FWp4Ck/sCgUCro1acKqAwfwVKnyFNdzyViC7SKzdUIIIZ69QHF+CwoKIjIykqCgIDQaDWfPngWgYsWK2NnZFWxwokDodDrik5NxtM3pSbnsEh8+Tur68PmEpz1cml7QxMPMLMv3T+Noa0ticjLkMa7nJkuwQgghHioyid24ceNYtWpVxvf1HpaUOHDgAG3atCmgqERBUigU2FtbExkXl6fzbR/Otj2IitK//ynnp2+NuJOWBkBe59+i4uOxtbLK49nPSZZghRBCZPJMnScKwsqVK9HpdNm+JKl7sbWqUYONx46Rl83dJVUqLJVKNp84gY2l5VN/qrEGLIEVcXFUMzdHmYfnRrVaLZuOH6dBxYp5iv+ZZe4uIbN1QgghHioyM3ZC5GTwa6/x2oQJ/HP1Kk4Pl+RvPZxhyyxco2FZTAw64EZICI62tiSkpHAcIFNSmHlXLEBdc3P+SUvjUwcHDickcF2nwwpITUsj85xc+jWPXb7MzZAQpvTpw4xbt3KMJbcY8yy9B6wswQohhHiMJHaiSHu1Xj0qly7NoAULWDtiBFhaMjYlJWPHqUarJSg+nqiUFHSQUXtOp9WSAHyKflbOnkdLrZnr2KU97DO7LiUFrU7H56CvY5eaitlju1rTzMyYsnEjDStVommVKtliycbSEhtDN/ekJ3XSA1YIIUQOJLETRZpSqWTz11/TYtQoes+axYxBgyjj6gpAdEICA+bOJS0xkU87d+b6/fv8eeoUX3btytwdO6jr44OPuzv7zp8HMzM+f/NNXOztiYyL40F0NDv/+4+gsDD6tG7NrwcO6FuVtW5NSUdHPF1cssRxMSiIkStWkJyaym9ffUVZNzc2T5hgms4TktQJIYTIhcGdJ4oy6RVbfF0IDKTL5MncDg2lVtmytK1Vi+1+fjyIiqJmuXKcflhzsVP9+nRu1IhLQUEs3bOHFLWaCh4e3I+MxNHWlsGvvcZfZ89y+OJFXOzs2PbttzSvXp2lu3fz6ZIlqJRKXm/YkGZVq2JlYUFYTAxbT57k7K1bVPDwYPf48VT09DTNTaaXNpHETgghXiiGdJ6QxE4UG4f9/XltzBjStFpSMx1XAuaAA/ol1vQtEFogGUgENJnOtzEzo6SVFc4ODmybNAnvkiUJCgujy5gxhMfEEJacTJr2UfETe3NzSlpb42Rvz5aJE43b/zWdLMEKIcQLy+QtxYQojOKTk3EE5qpULNZouAqsVakI1mqZrNMxHv1OVzfAgkd17K4BQwELlQo3lYq1Hh4ZLcLSl1ITU1IwV6v52dGRciVKkKDTkaTT4aBUYqlQ6M9PTTVui7DHSVInhBDiKSSxE8WOj0LBYWCySkVLMzP+1WgwU6uphH6jhM/Dfq86nS5jBk8JvGJjw8q4OFyUSjA3z3HTQ761CMvMz08/W1fZNMMLIYQoPopMHTsh8ioBfSuw8nmoO5dZyYctwMI0mqecmY98feW5OiGEEHkmM3ai2EkvW2Lo/Jnm4eOm5gpFntuHmYyfHwQEyHN1QgghDCKJnSh2bICSwAnd/9u78/io6nv/468zCdnIJhD2QEBk0xYUMCWtLBWb9LYoYlGrXohFFgUFAQXpRaj8bFxARVzQ6y1BQEVFEbGtVSCACgRBUJEEAoRACLIICdmXOb8/JjNmspGEwCx5Px+PeYQ558yZz8kkj7z5fs/3+zW5sx6vO1Rair9h0N7Xl2OXqlu1rvbvt60q8agmIBYRkbpTsBOvYxgGY318eLWsjL/7/LzC62pgFVBkmjQH7gb+CmRgW2nis/x8rvf350x5V+zZoiIeX7kSXx8fLIZBfkkJBAZevgvprpvqRESkfhTsxOukWa3cYBg8A8woLWW71cp3wHeVjptT/nAwTbYUFhJ15AgWbNOhHPryS6fX3JCTw+SwMO4ICXHaflFLhFVmn9pEuU5EROpJwU68xhXBwRRaLEyxWsE08QOWVJhvzgIEY/uhzwMqT0ziB5iGQYlpOu6xGx8byysTJ/LFvn2MmD+fMwUFzDt7lufz8ugWFuZ8goYsEVaR/b46dcGKiEgDKdiJW8g4dapey29tTUnhbG5uleOGXn89p3Ny8PP1ZfP33ztNQdLM1xeaNcP08aEoNxdfiwWraWItHzRRDGCahAQEEBwQQHFZGa9/+infpqfTr1s3buzbl/ziYpL37+fM+fOEtWvH9BEjHOe/IjjYqcb6XhNQ3v2qpjoREWkYBTtxuYxTpxg5dy7UNrmvvz8f/O1vdIqIYGtKCn+cPZsAq/PY1VyrFSvQHNtqEvazBWALbUWlpRRVCHqlViu+2Frxcsq3WYDAwkKshYUUY5vQeFtqKmmpqY7RtgWAj2Gw4dtvOXn0KP6+vlVqrO81AT+31inXiYhIAynYicvlFxVBURHzfX3p0qxZlf2HS0qYU1TkaP06m5tLgNXKIsOgm+XnqRiXmCZrTJMXgb+Ub3sT+AL4CJgBvAWkArcDW4BngXbAfwFnsQW717AFwfnATGAicAvwAJAGPAQM9vfnX4WFtCss5MWIiCo11uua7GvAth9ua7HT1CYiItJACnbiNuq7qkM3i4W+FYJdO8MA06QLtnvo/ID/xrZkGMBvgL8B04C7sA2m6ImtZe8stl+GUmyDJq4qf31f4F7gXWyBzz7lcVc/PyJLS9lcWPhzzQ1ZqeLbb/n4+yho3wHu0X11IiJycbTyhHidQ+VfK/dongZygRsqbd9e/rV3+ddNlfYPAk7yc3et3a/8/SkyTazWBk5nXFTExuQg2wTECnUiItIIFOzE65wr/1p5fGpJDdsLyr8GlX+tPCTDfnxxpe2B5UuWXdRUxq3bqOtVREQajYKdeB17y9uxStvtk5McqbQ9svxrWvnXXpX2H8H2ixJeafvh0lIMwM/SgF+jggIKivTrJyIijUt/WcTrBGP7wf4R59a0K4BfA2+A01qwsdjWlz1d/vymCvtM4B/AH7Ddc2dXarXyVWEhV1UzMOKC8vLIyTPAPwBuvrn+rxcREamBBk+I26hp9YaatqdVurctq3w+ugPAr4CvgN9iGwhxHtu9cvZu1muwDYS4A1vIK6twnv/GFu6KgDXAbmAs8A0/t+ptKiykDBgbGkpKcXH9ai8t5YjFAv41DKoQERFpIAU7cbkgf3/w92dOUVG1I0sBp1UdnFaYKPs5kuWWrxjxED+31G0pf4AtyPlhu9fOLH9UXmYMYF/5dgOYi+2XZD4/j4g9B/xYWoqPYfCuxcK7BQVVaqzxmoqKbF2wPj6U+bfA3z8IERGRxmKYZnkzRxOQk5NDWFgY2e+8Q2iQ/qC6k8ZaeeJfO3fyU24uAc2a8UNGBtv27wdsEwq3Dg8nOCAAXx8f9h2rfAcehAQEcL6wEAA/X1+KywPZ8AED6NS6NT+ePcuOAwc4cuoU/s2a8fGcOUS2alVjjVWu6dtvbaNgW7eBm2/G3z+IiIhOdfwOiYhIU5Wfn8Odd4aRnZ1NaGhorccq2Ilba9CyXEBufj7hd92Fj8VCSWkp9h9yi2E4lhCryDAMTNOkV2Qk+44edWz3b9YMq9VK+5YtOXLyJACRrVrxxdNPV/u+tVqxgo+7T9coWBERqZf6BDt1xYrbatCyXOVmr1hBmdXK6sceo3VYGL999FEKoUqo88c20KLYNCkDUo4epXn5trzy40vKyjhx9iwxPXuy4C9/YWDPnvW/mORkPj5+nZYLExGRS0rBTtxWfZcaq2jZhg2EN2/OLdHR/PPrr2lhsfACMNNqpZthMNFiYW5ZGU9gW1LsBHA/tpGxST4+pANTTJP/nT2b5z/6iNzCQr585pmGXciKFbZQ176DWutEROSS0nQn4vbsy3JVflQX9gDyCwvJyc/nv/r3d9oebrFwGJjo40NPiwU/bEuK/RLoAtxjsVAKlFgsTmvQ/nnQILalplJQW8thTeyhTqtLiIjIZaAWO/E6mWfOANChRQun7fahFhGGQXXsExUfN02urHBMRJhtauPs/HwC/SuvW1GLFSv4mOHwqAKdiIhcHmqxE69jD2KVR80Gln89X8N4oZ/sr68U/M6XT2cSHBBQ/2K666Y6ERG5fBTsxOuEBwfj7+vLv3btctreCtv9dOsqTWxs977VigH0r7T94+RkunfoQPP6BDt7F6yIiMhlpGAnXmn49deTeeYMu9LSHNt8DYNxPj4st1rJrdRqdxrYCww0DIIq3F/3U24uq7du5f64OIwaunCrqHhfnQZLiIjIZaRgJ27vcEkJKcXFVR41LeMF8Px99wHwx/nzHRMNp1mt/NowKAT+WlZGEZCCbcmwe8tfN85iYbfVSprVimmavPbvf+Pn68uYG2+sX9EKdSIi4gIaPCFuq75LjVXUsVUr/uf22/l/777LhJdfphjb9CWYJsGGweemSTNgPHAW21qxgcBfTRPKyrCaJj8BJ/btY/WsWVwRHFy3ou2tdbq1TkREXEDBTtxWp4gIPvjb3xq08gTA/Hvuobi0lGc++ACA0IgIYq+9lojQULamprLxu+84XX5s9/btmTJ8OOcLCvhi3z7W79kDViurpk3j1oEDL1xscjLs368uWBERcSktKSZe7+u0NKb/3//xxQ8/VFl5om14OPnFxeTk5zu2tQkPZ3xsLONjY+lYYS3YGiUn83FSsG0CYs1VJyIijUxLiolU0L9bNzYlJJBfWMjne/Zw8tw5WoaGMvQXvyA8OJjC4mLSsrLILSggNCiIbu3a4VfD5MdV2EOdWulERMQNKNhJkxEUEMDN0dFVtgf4+XFN584NP7GWChMRETehUbEiDWVvrRMREXETCnYiDaH76kRExA0p2Ik0lEKdiIi4GQU7kfpSF6yIiLgpBTuR+lAXrIiIuDEFO5H6UqgTERE3pWAnUlfqghURETenYCdSF+qCFRERD6AJikUuZMUKrQErIiIeQS12IrVRqBMREQ+iYCdyIQp1IiLiIRTsRGpib60TERHxEAp2ItVRF6yIiHggBTuRmijUiYiIh1GwE6lMXbAiIuKhFOxEKlIXrIiIeDDNYycCFSYgHg6PagJiERHxTGqxEwHYv1+rSoiIiMdTi51IcjJ07w50d3UlIiIiF0XBTpq2imvAKteJiIiHU7CTpqtiqFMXrIiIeAHdYydNm0KdiIh4EQU7aZqSk20DJkRERLyIumKl6ak4tYla60RExIso2EnTogmIRUTEi6krVpqO5GSFOhER8WoKdtK0tO+gUCciIl5LwU6ahhUrbPfViYiIeDHdYyfeT12wIiLSRKjFTpoGdcGKiEgToGAn3s0+tYmIiEgT4BHBLj09nbFjx9KlSxcCAwO58sormTt3LsXFxa4uTdyZ/b66IUM1X52IiDQJHnGPXUpKClarlddee41u3brx/fffM27cOPLy8liwYIGryxN3pvvqRESkCfGIYBcXF0dcXJzjedeuXUlNTeXVV19VsJPq2QdMdHd1ISIiIpePRwS76mRnZ9OiRYtajykqKqKoqMjxPCcn51KXJe5Aq0uIiEgT5RH32FWWlpbG4sWLmTBhQq3HJSQkEBYW5nhERkZepgrFJZKT+fiZHxTqRESkyXJpsJs1axaGYdT6SElJcXpNZmYmcXFxjBo1inHjxtV6/scee4zs7GzH4+jRo5fycsTV9u+3TWvy6EyFOhERaZJc2hU7ffp04uPjaz2ma9eujn8fP36coUOHEhMTw+uvv37B8/v7++Pv73+xZYon6a6b6kREpOlyabCLiIggIiKiTsdmZmYydOhQ+vXrx9KlS7FYPLIXWS6F5GTYv1+DJUREpMnziMETmZmZDBkyhM6dO7NgwQJOnTrl2Ne2bVsXViZuYf9+PmY4PKq56kREpGnziGD32WefkZaWRlpaGh07dnTaZ5qmi6oSt6IuWBEREc8YFRsfH49pmtU+pImzT20iIiIintFiJ1KFfQ3Y9uqCFRERsfOIFjsRJ/Y1YNt30BqwIiIiFajFTjyLfakwTUAsIiJShVrsxPO076BQJyIiUg0FO/Ec9vvqREREpFrqihXPYA916oIVERGpkVrsxHOoC1ZERKRWCnbi/tQFKyIiUifqihX3pi5YERGROlOLnbg/dcGKiIjUiYKduC91wYqIiNSLgp24J60uISIiUm+6x07cz4oVWl1CRESkARTsxL2sWMHHDIdH1UonIiJSX+qKFffTvburKxAREfFICnbiPuxdsCIiItIg6ooV96AuWBERkYumFjtxH+qCFRERuSgKduJ66oIVERFpFOqKFddxTECsqU1EREQag4KduIY91GkCYhERkUajYCeXnz3UqZVORESkUekeO3GN9h0U6kRERBqZgp1cXo776kRERKSxqStWLh91wYqIiFxSarGTy0tdsCIiIpeMgp1cHuqCFRERueSaVFesaZoA5OTnu7iSJmbnTv61pTm0awEjb4b8HFdXJCIi4jHyy/9u2nNMbQyzLkd5iWPHjhEZGenqMkRERETq7ejRo3Ts2LHWY5pUsLNarRw/fpyQkBAMw3B1OZdUTk4OkZGRHD16lNDQUFeXIzXQ5+QZ9Dl5Bn1OnkGfU/2Zpsn58+dp3749Fkvtd9E1qa5Yi8VywaTrbUJDQ/WL4wH0OXkGfU6eQZ+TZ9DnVD9hYWF1Ok6DJ0RERES8hIKdiIiIiJdQsPNS/v7+zJ07F39/f1eXIrXQ5+QZ9Dl5Bn1OnkGf06XVpAZPiIiIiHgztdiJiIiIeAkFOxEREREvoWAnIiIi4iUU7Lxceno6Y8eOpUuXLgQGBnLllVcyd+5ciouLXV2aVPLkk08SExNDUFAQ4eHhri5Hyr388stERUUREBBAdHQ0ycnJri5JKtm8eTPDhw+nffv2GIbBmjVrXF2SVCMhIYEBAwYQEhJC69atGTFiBKmpqa4uy+so2Hm5lJQUrFYrr732Gnv37uX5559nyZIlzJ4929WlSSXFxcWMGjWK+++/39WlSLlVq1Yxbdo05s6dy65du+jTpw+xsbGcPHnS1aVJBXl5efTp04eXX37Z1aVILTZt2sSkSZPYtm0bn332GSUlJfzud78jLy/P1aV5FY2KbYKeffZZXn31VQ4dOuTqUqQaiYmJTJ06lXPnzrm6lCYvOjqaAQMG8NJLLwG2ZQkjIyN58MEHmTVrlourk+oYhsGHH37IiBEjXF2KXMCpU6do3bo1mzZtYtCgQa4ux2uoxa4Jys7OpkWLFq4uQ8StFRcXs3PnToYNG+bYZrFYGDZsGFu3bnVhZSLeITs7G0B/jxqZgl0Tk5aWxuLFi5kwYYKrSxFxa6dPn6asrIw2bdo4bW/Tpg0nTpxwUVUi3sFqtTJ16lR+/etfc80117i6HK+iYOehZs2ahWEYtT5SUlKcXpOZmUlcXByjRo1i3LhxLqq8aWnI5yQi4u0mTZrE999/zzvvvOPqUryOr6sLkIaZPn068fHxtR7TtWtXx7+PHz/O0KFDiYmJ4fXXX7/E1YldfT8ncR+tWrXCx8eHH3/80Wn7jz/+SNu2bV1UlYjnmzx5MuvWrWPz5s107NjR1eV4HQU7DxUREUFERESdjs3MzGTo0KH069ePpUuXYrGoofZyqc/nJO7Fz8+Pfv36sX79eseN+FarlfXr1zN58mTXFifigUzT5MEHH+TDDz8kKSmJLl26uLokr6Rg5+UyMzMZMmQInTt3ZsGCBZw6dcqxT60O7iUjI4OffvqJjIwMysrK2L17NwDdunUjODjYtcU1UdOmTWPMmDH079+f66+/nhdeeIG8vDzuvfdeV5cmFeTm5pKWluZ4fvjwYXbv3k2LFi3o1KmTCyuTiiZNmsRbb73FRx99REhIiONe1bCwMAIDA11cnffQdCdeLjExscY/Qvro3Ut8fDzLli2rsn3jxo0MGTLk8hckALz00ks8++yznDhxgr59+/Liiy8SHR3t6rKkgqSkJIYOHVpl+5gxY0hMTLz8BUm1DMOodvvSpUsveMuK1J2CnYiIiIiX0M1WIiIiIl5CwU5ERETESyjYiYiIiHgJBTsRERERL6FgJyIiIuIlFOxEREREvISCnYiIiIiXULATERER8RIKdiLSqJKSkjAMg3PnztV4jGEYrFmz5rLVVJt58+bRt2/fer0mMTERwzAwDIOpU6dekrouVlRUFC+88MJlOfel/jwr/0zZnxuG4VjHV0RsFOxEpFqJiYmEh4e7uoxG1ZgBJDQ0lKysLObPn1+n44cMGeK2IfBiZWVl8fvf//6yvV9MTAxZWVncfvvtl+09RTyFr6sLEBHxRIZh0LZtW1eXccmUlZVhGAYWy4X//3+5vw9+fn60bduWwMBAioqKLut7i7g7tdiJeKEhQ4YwefJkJk+eTFhYGK1atWLOnDlUXBq6qKiIGTNm0KFDB5o3b050dDRJSUmAravr3nvvJTs729HlNW/ePACWL19O//79CQkJoW3bttx1112cPHnyouo9evQot99+O+Hh4bRo0YJbbrmF9PR0x/74+HhGjBjBggULaNeuHS1btmTSpEmUlJQ4jsnKyuIPf/gDgYGBdOnShbfeesupyzAqKgqAW2+9FcMwHM/tli9fTlRUFGFhYdx5552cP3++3tfxyiuvcNVVVxEQEECbNm3405/+5Kh/06ZNLFq0yPH9TE9Pp6ysjLFjx9KlSxcCAwPp0aMHixYtcjpnXa795MmTDB8+3HHtK1eurFLbc889xy9+8QuaN29OZGQkDzzwALm5uY799hbatWvX0rt3b/z9/cnIyKjTuSu2hM6bN89xjRUfiYmJAFitVhISEhzX3KdPH95//32n8/3zn/+ke/fuBAYGMnToUKefBRGpnYKdiJdatmwZvr6+JCcns2jRIp577jneeOMNx/7JkyezdetW3nnnHb799ltGjRpFXFwcBw4cICYmhhdeeMHR3ZiVlcWMGTMAKCkpYf78+ezZs4c1a9aQnp5OfHx8g+ssKSkhNjaWkJAQtmzZwpdffklwcDBxcXEUFxc7jtu4cSMHDx5k48aNLFu2jMTEREdYABg9ejTHjx8nKSmJ1atX8/rrrzsFzh07dgCwdOlSsrKyHM8BDh48yJo1a1i3bh3r1q1j06ZNPPXUU/W6jq+//pqHHnqIJ554gtTUVP79738zaNAgABYtWsTAgQMZN26c4/sZGRmJ1WqlY8eOvPfee/zwww88/vjjzJ49m3fffdfp3Be69vj4eI4ePcrGjRt5//33eeWVV6qEbYvFwosvvsjevXtZtmwZGzZs4NFHH3U6Jj8/n6effpo33niDvXv30rp16zqdu6IZM2Y4rjErK4sFCxYQFBRE//79AUhISODNN99kyZIl7N27l4cffph77rmHTZs2AbaQP3LkSIYPH87u3bu57777mDVrVr0+C5EmzRQRrzN48GCzV69eptVqdWybOXOm2atXL9M0TfPIkSOmj4+PmZmZ6fS6G2+80XzsscdM0zTNpUuXmmFhYRd8rx07dpiAef78edM0TXPjxo0mYJ49e7bG1wDmhx9+aJqmaS5fvtzs0aOHU61FRUVmYGCg+emnn5qmaZpjxowxO3fubJaWljqOGTVqlHnHHXeYpmma+/btMwFzx44djv0HDhwwAfP555+v9n3t5s6dawYFBZk5OTmObY888ogZHR1dY/3VfW9Wr15thoaGOp2nosGDB5tTpkyp8Zx2kyZNMm+77TbH8wtde2pqqgmYycnJjv3270fFa6/svffeM1u2bOl0TYC5e/dux7a6nru676tpmubWrVvNgIAAc9WqVaZpmmZhYaEZFBRkfvXVV07HjR071vzzn/9smqZpPvbYY2bv3r2d9s+cObPan6kxY8aYt9xyS43XKNIU6R47ES/1q1/9CsMwHM8HDhzIwoULKSsr47vvvqOsrIzu3bs7vaaoqIiWLVvWet6dO3cyb9489uzZw9mzZ7FarQBkZGTQu3fvete5Z88e0tLSCAkJcdpeWFjIwYMHHc+vvvpqfHx8HM/btWvHd999B0Bqaiq+vr5cd911jv3dunXjiiuuqFMNUVFRTu/frl27encv33TTTXTu3JmuXbsSFxdHXFwct956K0FBQbW+7uWXX+Yf//gHGRkZFBQUUFxcXGWUbm3Xvm/fPnx9fenXr59jf8+ePasMfPn8889JSEggJSWFnJwcSktLKSwsJD8/31Gjn58fv/zlLx2vqeu5q5ORkcGIESOYMWOGY5BDWloa+fn53HTTTU7HFhcXc+211zreMzo62mn/wIEDL/h+ImKjYCfSBOXm5uLj48POnTudAgNAcHBwja/Ly8sjNjaW2NhYVq5cSUREBBkZGcTGxjp1m9a3ln79+lV771ZERITj382aNXPaZxiGI1RerMY4d0hICLt27SIpKYn//Oc/PP7448ybN48dO3bUGITeeecdZsyYwcKFCxk4cCAhISE8++yzbN++vVHrS09P549//CP3338/Tz75JC1atOCLL75g7NixFBcXO4JdYGCg038GGiovL4+bb76ZgQMH8sQTTzi22+/p++STT+jQoYPTa/z9/S/6fUVEwU7Ea1UOB9u2beOqq67Cx8eHa6+9lrKyMk6ePMkNN9xQ7ev9/PwoKytz2paSksKZM2d46qmniIyMBGz3ll2M6667jlWrVtG6dWtCQ0MbdI4ePXpQWlrKN99842hdSktL4+zZs07HNWvWrMo1NSZfX1+GDRvGsGHDmDt3LuHh4WzYsIGRI0dW+/388ssviYmJ4YEHHnBsq9hKWRc9e/aktLSUnTt3MmDAAMDWgllxHsGdO3ditVpZuHChY5Rr5fv4GnruykzT5J577sFqtbJ8+XKnoFhxUMbgwYOrfX2vXr1Yu3at07Zt27ZdsFYRsdHgCREvlZGRwbRp00hNTeXtt99m8eLFTJkyBYDu3btz9913M3r0aD744AMOHz5McnIyCQkJfPLJJ4CtezI3N5f169dz+vRp8vPz6dSpE35+fixevJhDhw6xdu3aOs/jVpO7776bVq1accstt7BlyxYOHz5MUlISDz30EMeOHavTOXr27MmwYcMYP348ycnJfPPNN4wfP75KC1RUVBTr16/nxIkTVULfxVq3bh0vvvgiu3fv5siRI7z55ptYrVZ69OjheO/t27eTnp7O6dOnsVqtXHXVVXz99dd8+umn7N+/nzlz5jgN6qiLHj16EBcXx4QJE9i+fTs7d+7kvvvuIzAw0HFMt27dKCkpcXxuy5cvZ8mSJY1y7srmzZvH559/zmuvvUZubi4nTpzgxIkTFBQUEBISwowZM3j44YdZtmwZBw8eZNeuXSxevJhly5YBMHHiRA4cOMAjjzxCamoqb731ltNAERGpnYKdiJcaPXo0BQUFXH/99UyaNIkpU6Ywfvx4x/6lS5cyevRopk+fTo8ePRgxYgQ7duygU6dOgG0S2IkTJ3LHHXcQERHBM888Q0REBImJibz33nv07t2bp556igULFlxUnUFBQWzevJlOnToxcuRIevXqxdixYyksLKxXC96bb75JmzZtGDRoELfeeivjxo0jJCSEgIAAxzELFy7ks88+IzIy0nFPV2MJDw/ngw8+4Le//S29evViyZIlvP3221x99dWAbbSoj48PvXv3dnRhT5gwgZEjR3LHHXcQHR3NmTNnnFrv6mrp0qW0b9+ewYMHM3LkSMaPH0/r1q0d+/v06cNzzz3H008/zTXXXMPKlStJSEholHNXtmnTJnJzc4mJiaFdu3aOx6pVqwCYP38+c+bMISEhgV69ehEXF8cnn3xCly5dAOjUqROrV69mzZo19OnThyVLlvD3v/+93t8TkabKMM0KE1uJiFcYMmQIffv2vWRLSnmCY8eOERkZyeeff86NN97YqOdOTExk6tSptXZJyqUXHx/PuXPn3GZ5OhF3oBY7EfEKGzZsYO3atRw+fJivvvqKO++8k6ioKMdcco0tOzub4OBgZs6ceUnOLzXbsmULwcHB1Q64EWnqNHhCRLxCSUkJs2fP5tChQ4SEhBATE8PKlSurjChtDLfddhu/+c1vALxuPV1P0L9/f3bv3g3UPopbpClSV6yIiIiIl1BXrIiIiIiXULATERER8RIKdiIiIiJeQsFORERExEso2ImIiIh4CQU7ERERES+hYCciIiLiJRTsRERERLyEgp2IiIiIl/j/xdPhOn896EYAAAAASUVORK5CYII=\n" }, "metadata": {} } ], "source": [ "X_combined_std = np.vstack((X_train_std, X_test_std))\n", "y_combined = np.hstack((y_train, y_test))\n", "\n", "plot_decision_regions(X=X_combined_std, y=y_combined,\n", " classifier=ppn, test_idx=range(105, 150))\n", "plt.xlabel('petal length [standardized]')\n", "plt.ylabel('petal width [standardized]')\n", "plt.legend(loc='upper left')\n", "\n", "plt.tight_layout()\n", "# plt.savefig('images/03_01.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "mNjObJqq-mkM" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "n5vamdyj-mkM" }, "source": [ "# 3.3 로지스틱 회귀를 사용한 클래스 확률 모델링" ] }, { "cell_type": "markdown", "metadata": { "id": "_vqwfQwR-mkM" }, "source": [ "## 3.3.1 로지스틱 회귀의 이해와 조건부 확률" ] }, { "cell_type": "markdown", "metadata": { "id": "OfqYqqpMM_86" }, "source": [ "오즈비(특정 이벤트가 발생할 확률) $=\\dfrac{P}{1-P}$ , ($P$는 양성 샘플에 대한 확률)\n", "\n", "로짓 함수 : $logit(P)=log\\dfrac{P}{1-P}$\n", "\n", "$0\\le P \\le 1$이면, $0 \\le \\dfrac{P}{1-P} \\le \\infty$이고, $-\\infty \\le log\\dfrac{P}{1-P} \\le \\infty$이므로\n", "\n", "$log\\dfrac{P}{1-P}=\\boldsymbol{w}^T\\boldsymbol{x}$처럼 쓸 수 있다.\n", "\n", "따라서 양성 샘플일 확률 $P = \\dfrac{1}{1+e^{-\\boldsymbol{w}^T\\boldsymbol{x}}}=\\dfrac{1}{1+e^{-z}}$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.686727Z", "iopub.status.busy": "2021-10-23T05:54:40.679635Z", "iopub.status.idle": "2021-10-23T05:54:40.901958Z", "shell.execute_reply": "2021-10-23T05:54:40.902543Z" }, "id": "3HwWEVVO-mkM", "outputId": "afe22670-283f-4c55-939b-1422e112b901" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "\n", "def sigmoid(z):\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "z = np.arange(-7, 7, 0.1)\n", "phi_z = sigmoid(z)\n", "\n", "plt.plot(z, phi_z)\n", "plt.axvline(0.0, color='k')\n", "plt.ylim(-0.1, 1.1)\n", "plt.xlabel('z')\n", "plt.ylabel('$\\phi (z)$')\n", "\n", "# y 축의 눈금과 격자선\n", "plt.yticks([0.0, 0.5, 1.0])\n", "ax = plt.gca()\n", "ax.yaxis.grid(True)\n", "\n", "plt.tight_layout()\n", "# plt.savefig('images/03_02.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 374 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.909369Z", "iopub.status.busy": "2021-10-23T05:54:40.908332Z", "iopub.status.idle": "2021-10-23T05:54:40.912650Z", "shell.execute_reply": "2021-10-23T05:54:40.913133Z" }, "id": "A9E4ALJO-mkM", "outputId": "4876cf45-b023-4667-936c-cb4b2030665c" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 13 } ], "source": [ "Image(url='https://git.io/Jtm22', width=500)" ] }, { "cell_type": "markdown", "metadata": { "id": "6WM_KjDgM_87" }, "source": [ "예측 확률 : $\\hat{y}=\\begin{cases}1&\\phi(z)\\ge 0.5\\mbox{ 일 때} \\\\ 0&\\mbox{그 외}\\end{cases}$\n", "$\\;\\;\\;\\;\\;$\n", "$\\hat y=\\begin{cases}1&z\\ge 0\\mbox{ 일 때} \\\\ 0&\\mbox{그 외}\\end{cases}$" ] }, { "cell_type": "markdown", "metadata": { "id": "_2ugAkfI-mkN" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "05P_AOtN-mkN" }, "source": [ "## 3.3.2 로지스틱 비용 함수의 가중치 학습하기" ] }, { "cell_type": "markdown", "metadata": { "id": "xB8VlfxLM_87" }, "source": [ "가능도 : $L(\\boldsymbol w)=\\prod^n_{i=1}\\phi(z^{(i)})^{y^{(i)}}\\left(1-\\phi(z^{(i)})\\right)^{1-y^{(i)}}$\n", "\n", "로그 가능도 : $\\text{log} L(\\boldsymbol w)=\\sum^n_{i=1}\\left[y^{(i)}\\text{log}\\phi(z^{(i)})+(1-y^{(i)})\\text{log}\\left(1-\\phi(z^{(i)})\\right)\\right]$\n", "\n", "로지스틱 비용 함수 : $J(\\boldsymbol w)=-\\sum^n_{i=1}\\left[y^{(i)}\\text{log}\\phi(z^{(i)})+(1-y^{(i)})\\text{log}\\left(1-\\phi(z^{(i)})\\right)\\right]$\n", "\n", "손실 계산 : $J(\\boldsymbol w)=\\begin{cases}-\\text{log}\\phi(z)&y=1\\mbox{ 일 때} \\\\ -\\text{log}(1-\\phi(z))&y=0\\mbox{일 때}\\end{cases}$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:40.940238Z", "iopub.status.busy": "2021-10-23T05:54:40.937952Z", "iopub.status.idle": "2021-10-23T05:54:41.095302Z", "shell.execute_reply": "2021-10-23T05:54:41.095929Z" }, "id": "qWPeEwPa-mkN", "outputId": "5f60aee4-ae2f-439f-dded-46b4038ee05c" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "def cost_1(z):\n", " return - np.log(sigmoid(z))\n", "\n", "\n", "def cost_0(z):\n", " return - np.log(1 - sigmoid(z))\n", "\n", "z = np.arange(-10, 10, 0.1)\n", "phi_z = sigmoid(z)\n", "\n", "c1 = [cost_1(x) for x in z]\n", "plt.plot(phi_z, c1, label='J(w) if y=1')\n", "\n", "c0 = [cost_0(x) for x in z]\n", "plt.plot(phi_z, c0, linestyle='--', label='J(w) if y=0')\n", "\n", "plt.ylim(0.0, 5.1)\n", "plt.xlim([0, 1])\n", "plt.xlabel('$\\phi$(z)')\n", "plt.ylabel('J(w)')\n", "plt.legend(loc='best')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_04.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "z2FkwM6QM_88" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "Vs_ucgIqM_88" }, "source": [ "## 3.3.3 아달린 구현을 로지스틱 회귀 알고리즘으로 변경" ] }, { "cell_type": "markdown", "metadata": { "id": "094t24LFM_88" }, "source": [ "로지스틱 손실 함수의 미분 :\n", "\n", "$\\begin{align*}\n", "\\dfrac{\\partial}{\\partial w_j}J(\\boldsymbol w)&=-\\dfrac{\\partial}{\\partial w_j}\\left[y^{(i)}\\text{log}\\phi(z^{(i)})+(1-y^{(i)})\\text{log}\\left(1-\\phi(z^{(i)})\\right)\\right] \\\\\n", "&=-y^{(i)}\\dfrac{\\partial}{\\partial w_j}\\text{log}\\phi(z^{(i)})-(1-y^{(i)})\\dfrac{\\partial}{\\partial w_j}\\text{log}\\left(1-\\phi(z^{(i)})\\right) \\\\\n", "&=-y^{(i)}\\dfrac{1}{\\phi(z^{(i)})}\\dfrac{\\partial}{\\partial w_j}\\phi(z^{(i)})+(1-y^{(i)})\\dfrac{1}{\\left(1-\\phi(z^{(i)})\\right)}\\dfrac{\\partial}{\\partial w_j}\\phi(z^{(i)}) \\\\\n", "&=\\left(-y^{(i)}\\dfrac{1}{\\phi(z^{(i)})}+(1-y^{(i)})\\dfrac{1}{\\left(1-\\phi(z^{(i)})\\right)}\\right)\\dfrac{\\partial}{\\partial w_j}\\phi(z^{(i)}) \\\\\n", "\\end{align*}$\n", "\n", "시그모이드 함수를 z에 대해 미분하면 :\n", "\n", "$\\dfrac{\\partial}{\\partial z}\\phi(z)=\\dfrac{\\partial}{\\partial z}\\left(\\dfrac{1}{1+e^{-z}}\\right)=-\\dfrac{1}{(1+e^{-z})^2}(-e^{-z})=\\dfrac{1+e^{-z}-1}{(1+e^{-z})^2}=\\dfrac{1+e^{-z}}{(1+e^{-z})^2}-\\dfrac{1}{(1+e^{-z})^2}=\\dfrac{1}{1+e^{-z}}\\left(1-\\dfrac{1}{1+e^{-z}}\\right)=\\phi(z)(1-\\phi(z))$\n", "\n", "따라서,\n", "\n", "$\\begin{align*}\n", "\\dfrac{\\partial}{\\partial w_j}J(\\boldsymbol w)&=\\left(-y^{(i)}\\dfrac{1}{\\phi(z^{(i)})}+(1-y^{(i)})\\dfrac{1}{\\left(1-\\phi(z^{(i)})\\right)}\\right)\\phi(z^{(i)})\\left(1-\\phi(z^{(i)})\\right)\\dfrac{\\partial}{\\partial w_j}z^{(i)} \\\\\n", "&=\\left(-y^{(i)}\\left(1-\\phi(z^{(i)})\\right)+(1-y^{(i)})\\phi(z^{(i)})\\right)x_j^{(i)}\\\\\n", "&=\\left(-y^{(i)}+y^{(i)}\\phi(z^{(i)})+\\phi(z^{(i)})-y^{(i)}\\phi(z^{(i)})\\right)x_j^{(i)}\\\\\n", "&=-\\left(y^{(i)}-\\phi(z^{(i)})\\right)x_j^{(i)}\n", "\\end{align*}$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-10-23T05:54:41.109933Z", "iopub.status.busy": "2021-10-23T05:54:41.108638Z", "iopub.status.idle": "2021-10-23T05:54:41.111713Z", "shell.execute_reply": "2021-10-23T05:54:41.110969Z" }, "id": "3VwqwOaA-mkN" }, "outputs": [], "source": [ "class LogisticRegressionGD(object):\n", " \"\"\"경사 하강법을 사용한 로지스틱 회귀 분류기\n", "\n", " 매개변수\n", " ------------\n", " eta : float\n", " 학습률 (0.0과 1.0 사이)\n", " n_iter : int\n", " 훈련 데이터셋 반복 횟수\n", " random_state : int\n", " 가중치 무작위 초기화를 위한 난수 생성기 시드\n", "\n", " 속성\n", " -----------\n", " w_ : 1d-array\n", " 학습된 가중치\n", " cost_ : list\n", " 에포크마다 누적된 로지스틱 비용 함수 값\n", "\n", " \"\"\"\n", " def __init__(self, eta=0.05, n_iter=100, random_state=1):\n", " self.eta = eta\n", " self.n_iter = n_iter\n", " self.random_state = random_state\n", "\n", " def fit(self, X, y):\n", " \"\"\"훈련 데이터 학습\n", "\n", " 매개변수\n", " ----------\n", " X : {array-like}, shape = [n_samples, n_features]\n", " n_samples 개의 샘플과 n_features 개의 특성으로 이루어진 훈련 데이터\n", " y : array-like, shape = [n_samples]\n", " 타깃값\n", "\n", " 반환값\n", " -------\n", " self : object\n", "\n", " \"\"\"\n", " rgen = np.random.RandomState(self.random_state)\n", " self.w_ = rgen.normal(loc=0.0, scale=0.01, size=1 + X.shape[1])\n", " self.cost_ = []\n", "\n", " for i in range(self.n_iter):\n", " net_input = self.net_input(X)\n", " output = self.activation(net_input)\n", " errors = (y - output)\n", " self.w_[1:] += self.eta * X.T.dot(errors)\n", " self.w_[0] += self.eta * errors.sum()\n", "\n", " # 오차 제곱합 대신 로지스틱 비용을 계산합니다.\n", " cost = -y.dot(np.log(output)) - ((1 - y).dot(np.log(1 - output)))\n", " self.cost_.append(cost)\n", " return self\n", "\n", " def net_input(self, X):\n", " \"\"\"최종 입력 계산\"\"\"\n", " return np.dot(X, self.w_[1:]) + self.w_[0]\n", "\n", " def activation(self, z):\n", " \"\"\"로지스틱 시그모이드 활성화 계산\"\"\"\n", " # 대신 from scipy.special import expit; expit(z) 을 사용할 수 있습니다.\n", " return 1. / (1. + np.exp(-np.clip(z, -250, 250)))\n", "\n", " def predict(self, X):\n", " \"\"\"단위 계단 함수를 사용하여 클래스 레이블을 반환합니다\"\"\"\n", " return np.where(self.net_input(X) >= 0.0, 1, 0)\n", " # 다음과 동일합니다.\n", " # return np.where(self.activation(self.net_input(X)) >= 0.5, 1, 0)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.121278Z", "iopub.status.busy": "2021-10-23T05:54:41.119745Z", "iopub.status.idle": "2021-10-23T05:54:41.438316Z", "shell.execute_reply": "2021-10-23T05:54:41.439484Z" }, "id": "yDvS-YCh-mkO", "outputId": "5905ec7e-bf04-4bf2-b18f-afd2011bf5ee" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "X_train_01_subset = X_train_std[(y_train == 0) | (y_train == 1)]\n", "y_train_01_subset = y_train[(y_train == 0) | (y_train == 1)]\n", "\n", "lrgd = LogisticRegressionGD(eta=0.05, n_iter=1000, random_state=1)\n", "lrgd.fit(X_train_01_subset,\n", " y_train_01_subset)\n", "\n", "plot_decision_regions(X=X_train_01_subset,\n", " y=y_train_01_subset,\n", " classifier=lrgd)\n", "\n", "plt.xlabel('petal length [standardized]')\n", "plt.ylabel('petal width [standardized]')\n", "plt.legend(loc='upper left')\n", "\n", "plt.tight_layout()\n", "# plt.savefig('images/03_05.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "lOl86PUwM_88" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "ML_DISqM-mkO" }, "source": [ "## 3.3.4 사이킷런을 사용해 로지스틱 회귀 모델 훈련하기" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.444487Z", "iopub.status.busy": "2021-10-23T05:54:41.443357Z", "iopub.status.idle": "2021-10-23T05:54:41.732080Z", "shell.execute_reply": "2021-10-23T05:54:41.732645Z" }, "id": "3p39nTWh-mkO", "outputId": "4fd33881-cee1-4be9-fcad-e12dbaeef59c" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from sklearn.linear_model import LogisticRegression\n", "\n", "lr = LogisticRegression(C=100.0, random_state=1)\n", "lr.fit(X_train_std, y_train)\n", "\n", "plot_decision_regions(X_combined_std, y_combined,\n", " classifier=lr, test_idx=range(105, 150))\n", "plt.xlabel('petal length [standardized]')\n", "plt.ylabel('petal width [standardized]')\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_06.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.736793Z", "iopub.status.busy": "2021-10-23T05:54:41.735790Z", "iopub.status.idle": "2021-10-23T05:54:41.741707Z", "shell.execute_reply": "2021-10-23T05:54:41.742338Z" }, "id": "D_89xglc-mkO", "outputId": "483f4107-3a09-478f-812f-f2176e1ac987" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([[1.52213484e-12, 3.85303417e-04, 9.99614697e-01],\n", " [9.93560717e-01, 6.43928295e-03, 1.14112016e-15],\n", " [9.98655228e-01, 1.34477208e-03, 1.76178271e-17]])" ] }, "metadata": {}, "execution_count": 18 } ], "source": [ "lr.predict_proba(X_test_std[:3, :])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.746444Z", "iopub.status.busy": "2021-10-23T05:54:41.745366Z", "iopub.status.idle": "2021-10-23T05:54:41.751133Z", "shell.execute_reply": "2021-10-23T05:54:41.751613Z" }, "id": "v5vaGfpa-mkP", "outputId": "9be6e788-addc-4bb5-b56f-e0ef2be042c2" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([1., 1., 1.])" ] }, "metadata": {}, "execution_count": 19 } ], "source": [ "lr.predict_proba(X_test_std[:3, :]).sum(axis=1)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.755220Z", "iopub.status.busy": "2021-10-23T05:54:41.754455Z", "iopub.status.idle": "2021-10-23T05:54:41.760489Z", "shell.execute_reply": "2021-10-23T05:54:41.761011Z" }, "id": "WBAEAw3d-mkP", "outputId": "6ded8e88-50e6-4b57-854b-1935fa8ffd0a" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([2, 0, 0])" ] }, "metadata": {}, "execution_count": 20 } ], "source": [ "lr.predict_proba(X_test_std[:3, :]).argmax(axis=1)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.764941Z", "iopub.status.busy": "2021-10-23T05:54:41.764202Z", "iopub.status.idle": "2021-10-23T05:54:41.769646Z", "shell.execute_reply": "2021-10-23T05:54:41.770226Z" }, "id": "uiJqr9Zg-mkP", "outputId": "0f0db12f-7579-497c-9272-b43d4c4893a7" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([2, 0, 0])" ] }, "metadata": {}, "execution_count": 21 } ], "source": [ "lr.predict(X_test_std[:3, :])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.774548Z", "iopub.status.busy": "2021-10-23T05:54:41.773613Z", "iopub.status.idle": "2021-10-23T05:54:41.779043Z", "shell.execute_reply": "2021-10-23T05:54:41.779556Z" }, "id": "ZHxMGwZu-mkP", "outputId": "bd834cf2-66c7-443f-e57a-e1883470eb81" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([2])" ] }, "metadata": {}, "execution_count": 22 } ], "source": [ "lr.predict(X_test_std[0, :].reshape(1, -1))" ] }, { "cell_type": "markdown", "metadata": { "id": "0_Cp36we-mkP" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "ZaUAntqL-mkQ" }, "source": [ "## 3.3.5 규제를 사용해 과대적합 피하기" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 274 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.785335Z", "iopub.status.busy": "2021-10-23T05:54:41.784602Z", "iopub.status.idle": "2021-10-23T05:54:41.788439Z", "shell.execute_reply": "2021-10-23T05:54:41.788905Z" }, "id": "BH-W54cB-mkQ", "outputId": "1b82a41b-23ed-4223-a7e5-32057ce3acad" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 23 } ], "source": [ "Image(url='https://git.io/Jtm2V', width=700)" ] }, { "cell_type": "markdown", "metadata": { "id": "N4E0UESoM_8-" }, "source": [ "L2 규제(L2 노름의 제곱) : $\\lVert\\boldsymbol{w}\\rVert^2_2=\\sum_{j=1}^m w_j^2$\n", "\n", "L1 규제(L1 노름) : $\\lVert\\boldsymbol{w}\\rVert_1=\\sum_{j=1}^m \\left|w_j\\right|$\n", "\n", "규제가 추가된 비용 함수 : $J(\\boldsymbol w)=-\\sum^n_{i=1}\\left[y^{(i)}\\text{log}\\phi(z^{(i)})+(1-y^{(i)})\\text{log}\\left(1-\\phi(z^{(i)})\\right)\\right]+\\dfrac{\\lambda}{2}\\sum_{j=1}^m w_j^2$\n", "\n", "- `C`는 $\\lambda$의 역수로 증가시키면 규제가 작아지고, 감소시키면 규제가 커짐. 기본값은 1.0\n", "- `penalty` 매개변수 기본값 `'l2'`, L1 규제를 위해 `'l1'`을 지정할 수 있음." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 454 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:41.807147Z", "iopub.status.busy": "2021-10-23T05:54:41.801763Z", "iopub.status.idle": "2021-10-23T05:54:42.184212Z", "shell.execute_reply": "2021-10-23T05:54:42.184812Z" }, "id": "fAF9BV-C-mkQ", "outputId": "47401a37-4c96-4823-8bc0-612cb81521ea", "scrolled": true }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "weights, params = [], []\n", "for c in np.arange(-5, 5):\n", " lr = LogisticRegression(C=10.**c, random_state=1, multi_class='ovr')\n", " lr.fit(X_train_std, y_train)\n", " weights.append(lr.coef_[1])\n", " params.append(10.**c)\n", "\n", "weights = np.array(weights)\n", "plt.plot(params, weights[:, 0],\n", " label='petal length')\n", "plt.plot(params, weights[:, 1], linestyle='--',\n", " label='petal width')\n", "plt.ylabel('weight coefficient')\n", "plt.xlabel('C')\n", "plt.legend(loc='upper left')\n", "plt.xscale('log')\n", "# plt.savefig('images/03_08.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "49U3eoce-mkR" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "4Nxw9qZz-mkR" }, "source": [ "# 3.4 서포트 벡터 머신을 사용한 최대 마진 분류" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 320 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:42.194332Z", "iopub.status.busy": "2021-10-23T05:54:42.193381Z", "iopub.status.idle": "2021-10-23T05:54:42.197166Z", "shell.execute_reply": "2021-10-23T05:54:42.197651Z" }, "id": "uecRK7nX-mkR", "outputId": "e3dcaf31-5459-4519-dc74-ccda7550488a" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 25 } ], "source": [ "Image(url='https://git.io/Jtm2r', width=700)" ] }, { "cell_type": "markdown", "metadata": { "id": "glpFVaoh-mkR" }, "source": [ "## 3.4.1 최대 마진" ] }, { "cell_type": "markdown", "metadata": { "id": "1R1fE2MRM_8_" }, "source": [ "양성 쪽 초평면 : $w_0+\\boldsymbol{w}^T\\boldsymbol{x}_{pos}=1$\n", "\n", "음성 쪽 초평면 : $w_0+\\boldsymbol{w}^T\\boldsymbol{x}_{neg}=-1$\n", "\n", "두 식을 빼고 : $\\boldsymbol{w}^T(\\boldsymbol{x}_{pos}-\\boldsymbol{x}_{neg})=2$\n", "\n", "가중치의 L2 노름으로 나눈다 : $\\dfrac{\\boldsymbol{w}^T(\\boldsymbol{x}_{pos}-\\boldsymbol{x}_{neg})}{\\lVert \\boldsymbol w \\rVert}=\\dfrac{2}{\\lVert \\boldsymbol w \\rVert}$\n", "\n", "결국 SVM은 $\\dfrac{2}{\\lVert \\boldsymbol w \\rVert}$을 최대화하는 문제이다. 실제로는 $\\dfrac{1}{2}\\lVert \\boldsymbol w \\rVert^2=\\dfrac{1}{2}\\boldsymbol w^T \\boldsymbol w$를 최소화한다." ] }, { "cell_type": "markdown", "metadata": { "id": "xG3CqMZV-mkS" }, "source": [ "## 3.4.2 슬랙 변수를 사용하여 비선형 분류 문제 다루기" ] }, { "cell_type": "markdown", "metadata": { "id": "5DU2f56sM_8_" }, "source": [ "양성 샘플일 때 : $w_0+\\boldsymbol w^T \\boldsymbol x^{(i)} \\ge 1-\\zeta^{(i)}$\n", "\n", "음성 샘플일 때 : $w_0+\\boldsymbol w^T \\boldsymbol x^{(i)} \\le -1+\\zeta^{(i)}$\n", "\n", "목적 함수 : $\\dfrac{1}{2} \\boldsymbol w^T \\boldsymbol w+C\\sum_i \\zeta^{(i)}$" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 296 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:42.205425Z", "iopub.status.busy": "2021-10-23T05:54:42.204411Z", "iopub.status.idle": "2021-10-23T05:54:42.208392Z", "shell.execute_reply": "2021-10-23T05:54:42.208867Z" }, "id": "TAZrU-i_-mkS", "outputId": "cb7b4ea4-2143-4956-b697-c864a8cb7997" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 26 } ], "source": [ "Image(url='https://git.io/Jtm26', width=600)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:42.217523Z", "iopub.status.busy": "2021-10-23T05:54:42.216592Z", "iopub.status.idle": "2021-10-23T05:54:42.460306Z", "shell.execute_reply": "2021-10-23T05:54:42.460826Z" }, "id": "_O6kLe_f-mkS", "outputId": "96b3f7b3-77cf-44c6-a739-c43be6ec7284" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from sklearn.svm import SVC\n", "\n", "svm = SVC(kernel='linear', C=1.0, random_state=1)\n", "svm.fit(X_train_std, y_train)\n", "\n", "plot_decision_regions(X_combined_std,\n", " y_combined,\n", " classifier=svm,\n", " test_idx=range(105, 150))\n", "plt.xlabel('petal length [standardized]')\n", "plt.ylabel('petal width [standardized]')\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_11.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "XqkZi2P_-mkS" }, "source": [ "## 3.4.3 사이킷런의 다른 구현" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2021-10-23T05:54:42.466776Z", "iopub.status.busy": "2021-10-23T05:54:42.465846Z", "iopub.status.idle": "2021-10-23T05:54:42.469014Z", "shell.execute_reply": "2021-10-23T05:54:42.468222Z" }, "id": "abCXOkZw-mkS" }, "outputs": [], "source": [ "from sklearn.linear_model import SGDClassifier\n", "\n", "ppn = SGDClassifier(loss='perceptron')\n", "# 사이킷런 1.3버전을 사용하는 경우 'log'를 'log_loss'로 바꾸어 사용하세요.\n", "lr = SGDClassifier(loss='log')\n", "svm = SGDClassifier(loss='hinge')" ] }, { "cell_type": "markdown", "metadata": { "id": "TBQL5btH-mkS" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "tCpKzXA9-mkT" }, "source": [ "# 3.5 커널 SVM을 사용하여 비선형 문제 풀기" ] }, { "cell_type": "markdown", "metadata": { "id": "xzf-WUcPM_9A" }, "source": [ "## 3.5.1 선형적으로 구분되지 않는 데이터를 위한 커널 방법" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:42.498465Z", "iopub.status.busy": "2021-10-23T05:54:42.495012Z", "iopub.status.idle": "2021-10-23T05:54:42.635342Z", "shell.execute_reply": "2021-10-23T05:54:42.636284Z" }, "id": "WNdw35er-mkT", "outputId": "fa5a8290-7a29-4a24-c26b-1f7dd4c345c5" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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n6jh5AkDaMWMHX5RKdjCop1hsPAsTFtPHF4ZOZ8w65Ucfukym8df7+wl1AECwQ8eiDgxxH19YqmfMnHvhnjGbmPB/pc4dqt3Lpk4fuuo9cwCA9hHs0LGoAkNSxheWKE5uqBeq6/WhW7uWUAcAfmCPHTrmBAZ3ZaK7DUXURz2ZPr4wtXJygx977urtq5OkW2+tvO7OO6WXXoppuKPFCACDdFmWZUU9iEYmJyeVyWRUKpXU29sb9XAwjepN8JJZS2ymjy9Mo6PlUCdJTz0l3XBD+XPnXvX12QULnYQ7930fGJCOHJH27LG/Nm+eNHOmlM/H9HdhUouRV1+VFi2a/rqxMenii4MdC4COdJJ/WIqFb0w/6sn08YWl3skNN98sbdlS/rqfS9TOLOHAgB3gnFA3MCC9/LI9U+deHm5U5GIkk1qMeO3zktp+MEA6EOzgG9OPejJ9fGGoPrnhqafsGbMjR6Tly6WNG4PZc5fNSv/8z5WPffvb9uOt9qGjwrmBBQvsmcGxscYfNCcGEo89dvCF6Uc9RT2+KPvHuV+n3skNL71kh7ojR6Qbb7Sv9XtZtFCQPvOZyseGhsqv4bUPnVOMMTFROz4/l49ji9AGpB4zduhYvcCwdGltBWZUS2xRj8+UdiuNTm5YvFh68snKa/1coq4O1SMjlffduSde+tAZV+Gcz4f0QlXGx+09dY0+xsejGReAyDFjh445gUGqf9STM4sS1daeqMfX6YkLfml0ckOhIN17b+W17tm0Tvh9vqtRFc7j45UVJ2ExqWAD8UH1dmoQ7NAx0496inp8JoWRTKby5wx6iTqIUN1Ky5ZARdmY0c/rkHz8ZSBVCHbwRXVgcDOhP1zU4zMmjLj4PZtWT1Ch2qlwdrdsSWOFM+AJfxlIFfbYASExrd1Koz13rVapTieI811jV+FMixEAISHYASExLYw4s2nDw7Xh0plNM7G61GsxhjE2bmR5C0BoWIoFQhB1u5VGol6iblUYy8e+GxiIegTBY2M+YAyCHRCwWIYRQ0Vd4Yw62JgPGIVgBwSMMOKfqCucUQcb8wGjBLrH7sUXX9S1116refPmqaurS08//XSQLwcYKa572UwVRDFGW6I6m5UzYQE0EeiM3aFDh3TRRRfpk5/8pG50zioCUihue9nggXM2a9h7y6J6XcQXfxlIlUCD3apVq7Rq1aogXwIAohNVeCK0oRX8ZSBV2GMHAGlEJWu68LtMDaOC3dTUlKampo5/Pjk5GeFoADRSKtUvYJDsKmAKGAxHJSuQWEYFuzVr1uiBBx6IehhoAW/w6VMqSStXShMTtf33nH59fX0JLghJwkxXFJWs27Z5uzdJuL9AhIwKdqtXr9Y999xz/PPJyUllOfzRWKl/g0+pgwft33l1c2V3E2bnusT93pnpquV1w/3HP27/s9m94f4CHTPqSLHu7m719vZWfMBc1W/wzlFO7jf4iQnaV8VRqWTPuDayaVPlMV6jo7VNmBNZ7UvPtlrOxvz1671d3+zecH+BjgU6Y/fuu+/qzTffPP75L3/5S23dulWzZ8/WQBqO2Um4/v7a0xPcR2Ul9Q0+6cvPXmdiN22SrrvO/l0vW2Z/3X2yRqpt21b7WPUSYlyXHKcbN4BIBRrsXnnlFV155ZXHP3eWWW+77TY9+uijQb40QlJ9NFbS3+DrhR4n6FlW7fJzHIOe16XWTMYO8s7vXLI/T9rvvC3OsmM1ZwkxrkuOXscNIDKBLsUODg7KsqyaD0JdsmSz9hu6W1Lf4KtDz+uv20Fv2TJp+fLK5edCQVqxwv56qRT1yL1zZmKnW2q1LHt21m1oqLwkjzqcma64LjmaNh4ANYzaY4d4KhTS8wZfHXo+8hEpny9/DAyUQ0+c9xk6M7HOz7lsWWWokyqD3shIZRBM4u8eAOKAYIeOuJfnOn2Db7Zhv1g0Z9bLHXryeWnPnsqvV9+TuO4zbDQT29VV+/MtXVo7y9fod+n19xyXPw+xxBFTgNneeqvtbzWq3QnipVisfYOv3nM3OGgfcj9dsIlb6xQn9Lj3l82bZwe9pOwzbDQTu2mT/buQKn8+9+++r69+JvD6e37iCemWW7z9eZCSXcwSCI6YAsw1Pi5dfHHb306wQ9t6etp/g68Wt95o9UJPtVb2GZpWaVs96+iudr7uOjvcZTK1481m7SDfaLxef89vv+3tut27pTvuCPEvBEmawYoqtDW7h8wkAh3v3SHYoW2ZjP2GWS+QTPcGXy1OrVPqhZ5bb7Vn69yGhrzN2Jk2W+llJva66+zfbz3Nfkdef8/1Zn7rXdfVFfJfCBrNdG3b1rgS1k9xaZGyfr30gQ/UPj7d+JhJBDpnGaxUKlmSrFKpFPVQEJJ83rJyOcuyyw/sj1zOftwEhUJ5fM648nnLGhgoj3fevPLnXsZe7zktq/Je5HL2dWE4cMCyliypP3ZnTEuW2Ne1y+vv2ct11fdpZKT+/QzU2FjlIBt9rF9vX7t+vbfrx8bKr7Fjh7fv2bEj+p/TPW4ArRkbs0pS2/mny7IsK+pw2cjk5KQymYxKpRKnUKTI6Gjl3rWREXtzvgmqZ9e6uuyWJjt32hWxkr3X7hvfKDfvzeWm32fYbOkzir16YSwNe/09e7mueoZOCvm+BdXfzd3H7tVXpUWLpv+esbGO9uc01Ur/PYmZN6Adr76qyUWLlJHayj8sxcIojTbsm1KEUL38XCpV7jPs6iqHnlb2GZrW6DmTaRzc/FgO9/p79npdvWKWUHspNltC9LpMW718aWLw8bpUKsWzAXOU4rLMDvP5PoXoI5Zi08WIJbU2HDjQeJm0UGhtyXJkpHJFa2TEnzGaxOvvudl1AwONl2ONW8L3a/kyTsugcRqrCUxYZoc5OlyKpY8dQtWoN1mxWD65oZ3eaFGqVx3q6O/3vmSZhkbP9Qoz6v2ef/rT+tdt2iR1d9uFKsuX28/nXoadOVO64AJp/nyaJSNG4noSCYxEsENonP1pK1bUvtmWSnaLi+5u+827unVKLue9dUoc+dno2U9+Nwl2WuRULzFX/57PPLP+dZmM/TXJ/vOyfXtlqDtyRPrtb+0+eKb/hQAA6urwjY5gh9BU9zBzwkqhYBcaTE3Zb9rVM1xO6xRTmhP7zessVtjhpFkQb/ccXGeP4vBw7f439+95YKD+df390ksv2V+fmpL+6q+kk08uhzrn/l12WTr+QgAggRYssIul2kSwQ2i8HC7/0kv1lzVbWdKMG6+zWI3CSVBHbzUL4p2cg+t16brRddms/eckl5N27ZJef70y1LnvnxF/IahucNjpdQCS79xz2/5Wgh1CNd3h8iZUvobN6yxWvXASxKyaw0sQj6ppdKNzbKvvnxF/ITh0yJ/rOJUBgAe0O0HoIm9NYaB224sEfRSbaW1YHKa3xalw6qn+XMepDAA8INghdLF6UzZcGEexmRbEmzVzdodbYzidq/24Li6hjdlFIDIEO4Qqdm/KMRD0rJpJQdzLObaDg9Of9NGW6gay+Xzl8umpp1aGszTPnjG72BqCMHxEsENoIn1TTrigZtVMC+JOoYlUv9DE60kfLWv3yDDnaC2/xhCnoGTSWExHEIaPCHYITWRvyjHm9czWIGbVTAzi9Y50c/7dKTRx7okvZ9o6YWrbtva+36+Gsq2c0cqbfzyZ+nuL218oQLBDeKrflN2q35RRrnidmKh/hqoThL/xDbsPoN+zaqYGcafQpN79cf5cue9P2+1O2p2lCwInE8ALv0MYf6GIJYIdQhX04fJh8TqT1gkvFa9Hjkgf+Yi93cvvWTXTg3jQFcG+hST2TyEMQYQw/kIRSwQ7oEVeZ9I6bYzrpeJ10yb79IWZM4OZVTM5iIdREewL9k8hDIQw/AHBDmhR4DNFLl4qXk2eVfNLoxnSbFb69relW24xq89eDUIbgJBw8gTQorBPZJjulAWvR3TF1XSna9x6a21v37Q3vAaQXszYAW0I80QGk/rIRcHLDOnMqv+Tpen+xAKVlbW4JwgIwQ5oUxgnMpjWR84rP4tLpttLN3OmXURi5P2hIILKynq4JwgQwQ5oU9AzaSb2kfMiiOKSRjOk7lAX2f354helc84J9uSJOFfWsqm/FvcEASLYAW0IYybN1D5y0wmquKTeDOn550u//W1A98frN95yS/CzKlTWIgpx/gtFihHsgBaFNZNmeh+5RoJqQ1JvhvTQIemJJ2pDtC/3x7QwRWhDM0GEMNP+G4AnBDugRWHOpJncR64Zv4tLms2Q3npr/ef05f4k9Q2LjfvJE1QI489B7BDsgBbFdSYtbH4Vl8Ryr6HJwSkpG/dNvsdRSdvPi7oIdkAb4jqTFia/iktit9fQ9OCUhI37pt9jIEI0KAZwXKlkz5DVUyzaX/eieul0ZKSyoXN1o+FmnBnS4eHGe+k6Pb7NV0kITqbjHgMNMWMHQJJ/bUqCWDplhjTGoqys3Lat8vlNmb2j2hQBItjBEz8bzsJMfrUpid3SKYIVZWXlxz9e+bkpS7NUmyJABDtMK4iGszCPX21KKC5BDVMCiklLswsWNC8AOXjQ/rop9w6xQbDDtIJqOAvz+NWmpHrp1D3jWx32mPEN0fh45fIkokMBCAJC8QSm5czkuDe/j47W7qOK414nr8UCfhUVxIHTpsStkzNwnRnfFStqiyYKBfvxlSuTdQ+N5ASJ6uVJRIMCEASEYAdPnJkcJ9wtW1a7OT5uvAaOfD5dwaRRm5JWKlndqmd8nedxz/hOTPD+FbhWbzCbIIFYItjBM79ncqLmNXC8/XZ6gomfbUocSZ7xrSvuFY/r15u//GfqvQMMwB47eOZXw1lTeC0WqNeqw4+zT00T5AkPfh8xZjSvFY+S9Oqrza+JIlx94ANmhzrJHt/GjdINN0Q9EsA4BDt40uysTndBRdx4DRxpCCZBtynx64ixWJguGLFxvnMDA1GPADASS7GYVr2ZnKVLa5fXGhUXmM7rEnO7S9FxKbwI+oQHv/fuxVrYG+ephrWxhIsUINhhWs5MTqNZrFwu3g1nvQaOdoJJ3CpCM5nGy6z9/Z2FOr/37sGjtFfDrl8vjY0x+4nUYCkW00pyw1mvS8ztLkXTAzDYvXuhadZIVjL7lIC4VPUEdY8/8AHp4ovbH1dQ4l5kA2MR7OBJEs/q9Bo4Hn9c+ou/aC+Y+HWaQ5zF/ogxv/bDuYOLycuiUfwi0rjnkGPFEBCCHVLLa+A488zOgkkaCi+aieWMbzshrNkbtNfgEqX166XLLosmSLSz59BrAM3n6z9uQmiK+vWRSAQ7pFYrgaPTYJLNSmvXStdcU37MXXiR9GO1YjXjG0QIi8NyaBzanLg1m/HK58utUJq1REnSDCDwBwQ7pJrXwNFpMHn9dem66yofc3oASuVZv06qTuGTOIQw2DoNZfyukUAEOyBghYL0kY9IU1P25/PmSTNn2suyy5fbjzmrRUkuokAbOtnv5iwnm7yfD4DvCHZAgJwCjXy+3E/V+fd588qBbmAg+UUU8GD9entJVOpsD1gc9vTFTZwro5EqBDsgQNUFGlJlmxNJ6u6W/v3fk19EkTrtFGD41ZqjnSVGY8uSDdBJ1S6BECEj2AEBqld4UX2s1qZN0gUXRDM+BCQuM2bODCHhorl2TwpJYxsXRI5gB4So3ukVn/qU9OKLzNjFnnvGK8hN+V5mgLwypXlvUpv1hn10HCCCHRAo50ixiQlpwwbpYx8rNyZ+6CHp5pulXbukK64g3MWOX/vh3KYLLl5ngDZu7HwsYaJZL+Abgh0QIPeRYsuXS0eO2KHOCXlHjtgVsrt2xeBYrbTwOivkRzPfVsOh15mdQ4c6G1cU/AxtSZ0BBDwg2AEBco4Uu+IKO7zNnGnP1Lln7pyQZ/SxWiEoleo3gZZCbuAc5uyRKUuhnai3NJzPl8PlqaeWS8IdQc++MQOIFCPYAQHLZu1lVifc3Xij/bj7SDEjj9UKkXvJuvqYtULBvnenny49/3ztPQok9PGG700nRSJBFwzwO0RKzYh6AEAaZLPSY49VPuY+Uqy/P72hTqpcsh4ctMOcVA51u3ZJP/+5tH175fcVCtKKFXYoLJXqP3epZIe/eorFxt8Xa6ee6u26TqeIO9n0T8EAEIhQgt3DDz+s+fPn66STTtLixYv1k5/8JIyXBYxRrxp2aKgcYNLOWbLO5crhbnTU/qezhH3kiHTrrZWhz+kJODFRPyc4M4ErVtTeay+hMLYGBuwZsbGxxh+02PCOPXuIkcCXYp944gndc889+vrXv67FixfrK1/5iq655hpt375dfU7nViDB3AEkl7Nn6oaGygGmeukxUhE2U81m7Xvh3Cun1597H6Jzz9z30FnSrrc3r3om0LnX7t+Jc52vM6YmBAFCm3/a3bNnwp8DpE6XZVlWkC+wePFiXXrppfra174mSTp27Jiy2aw++9nP6r777mv6vZOTk8pkMiqVSurt7Q1ymEAgikV7VsgdQKqDRS5nSDWsIc1UR0crGziPjEhLl9aGManynjbSLFh7+f62BRGSX31VWrRo+uvGxsIpyvA6nnrCGmPUOHkCbegk/wQ6Y3f48GGNjY1p9erVxx+bMWOGrrrqKv34xz8O8qUBI1QfKeYECPfslDHVsAY0U220ZO3cu+pTO9z7FBtpNhMY6GxpEG/WAc4AGVOVnDSENoQs0GD3zjvv6OjRozrzzDMrHj/zzDP1xhtv1Fw/NTWlqamp459PTk4GOTwgcPWOFHNQDVtpuiXrDRuahL7fNZ8Vyfb0aN26BS2HQuME1MZjuqpk5y8gmzfzZxUwnVHtTtasWaMHHngg6mEAvspkGr8ZRr78aohisTLUOeHCPdPmbvDsDn23LxvXc4Xpl5A/n90hqRx43DOBUWh7hqxBaOtkxi2yvYgAfBdoVewf/dEf6YQTTtDbb79d8fjbb7+tuXPn1ly/evVqlUql4x8FSgaBVHCWrKuXR7NZ6dvfLlfFzp9vf33p0nIV7X8XvC0N/3fhoHI5e8+eu/o2iv/N+F2t2+nzNatKblqg0skeAiP2HwDJE+iM3axZs7Ro0SI999xzuv766yXZxRPPPfec7r777prru7u71d3dHeSQALOldKN1syXr88+XLrxQ2r+/8jxdZ0bvrssl7Z7+NfrfK33/hdqZwCiOcut0hqx6dq766Lp//3fpggtam3Fray9io6XhqE+eANLMCtjjjz9udXd3W48++qj1i1/8wvrrv/5r6z3veY+1d+/eab+3VCpZkqxSqRT0MIHo7dhhWdL0Hzt2BPP6Y2PeXn9sLJjXb+LAAcsqFOp/bd8/b/Q07v3/70P22P/wsWd4h5XLWdaSJfbzhy2ft6xczh5eLmdZIyOVn+fz9b/vwAF7zNXX5POWNTBgf393t2U984y356s2MlJ560ZGOv9ZAbSmk/wT+B67W265Rfv27dMXvvAF7d27V3/8x3+szZs31xRUAKlnQFWqqZrtU/yjk70deH/6/7lX+j/lz8+SNPLiDp184YJI9o21W63baLbPbWpKuuYab8/nNl1VMgDzhXLyxN13361f/epXmpqa0pYtW7R48eIwXhZAK1LYTHXuqQcjLQZwWri4TVet22w/XD4vzZvX2vM5qquSTdiLCKB1RlXFAohQQK000Fi7M2SNZvuqt7J5fT4vVclR7EUE0DqCHYCytIW2bdsiC6udHjVXr2Hz1JT09tu1z+cuqKgnVo20ATQVylIsAATm1FPb/96Pf9w+Rm18vONhlEr2zFc9xWJlq5F6M2TuFi5OuGv0fFL92b6337aXYt3PNzBgL9EuWiT94hf1x+tUJQ8P22HOPV6nkTbNiYF4YMYOSLtOWqxE2Z7Fee1D3oonmuqwIKXVkxs6nSGrnu373//bzqiSPYY9e5rP9tUbr1OgUm+8LL8C8UGwA9JsfNyesZrOjh21Aa2T7+2U19cOSat96To5aq7Rfrgzz5RWrbIbOS9fLn3nO9Lf/I09WzcwYC/FfvCD7Y0XQHwQ7ABTRFGV2kmLFb/bs7Qy+xdSyxevx3Q5laruQgP3Hrd6Jze0e9Rco9m+q66SXnqpfPTaDTfYj9drd9LOeAHEA8EOMEWaq1KjnP1roNXl1Xb70rlfz0uIbDbbt3ixPVPnhDqpcbuTTscLmKqTc5OTgGAHmCSJoc0LA5szt7NcWa9S1UsfuVZDZKPZvkLBXn51a9bupN3xAqZq9b+lJKIqFgDqaNYIuNFyZaO+dNM1960Okc717hA5MdE817bTYLjd8QKm8uO/pbgj2AFAA85ypROQli2rLVpwdHJyQzsh0q2d9imcNFGrlZY1MFOn/y0lAcEOAPJ56dVX6/az83Lsl9dg9YtfNA4OXV3Spk3eQmQ1p6Ail7Ofo6urPHZnDH190uRkObx02kcvaZwlvBUrakNtoWA/vnIl4S4OWvkLWRKxxw5AsLZtK/972MUf69fbDYwPHZL27pXuvbf+de5qg6oCDS/HfnnpS3fGGdJtt0n79zff+7N2rXTNNeWvednz5hRU7N4t3XFH5f4ip31KqSRde639Gk880Xi8mzZJH/lI/T56Sd54TguYZEn1/lHLYKVSyZJklUqlqIcCJNOOHZYlTf+xY0f73+vlucbGvH3v2Fj74271NSzLyuctK5ezH87lLGtkpPLzfL789AcOWFahUP82FwqW9frr9b/X/RoDA/aHezjVr9NMoTD9a+Ry9nX1xnvggGUtWWKP4bXXKr/mPMeSJfZ1SdTK7xtmc/8u2/lvKWqd5B9m7IAgRHkiQys6abFS/b3btpWPP2jGj13LIbSGadQIuLr/2/CwvV/HS1+6Zr3jBgbsa/L59s6OdV6nlf501eN1Zq3yeem669I3a0ULmGTo9Bzm2AsgaPqGGTvEUiezYHHWxozYcWHcsxbH58xe1ftbfiezV/VmEt773vJMnfv1tmyxrPnzK2fa2n0Nr7MVzFrZP7P73o2MRD0ieNXKrLXJmLEDTGJgTzbjGdicuZNjv5qpt/fn6FF7T9vMmZWzZLfeKs2ebV/T7OxYL6/hdX9RK7NWSWwE62VPJczV6TnMSUBVLAAzLFggXXxx4//jHjzYsHI1KM5xYfU4y6+tqhcc9u6V9u2Tvv3t2qXPAwekJ59sraFqp/3pvFQCJ7GKlBYw8ef8hWx4uDaIO38hS3JzYomqWACSOXsCDTxazE/19v7cequ9p61YlG66yQ531XviWpkp8mN/kZdZq6RVkba6pxLmavcc5qQg2AFpZ1KYSvAydqPg8NJL0vLldrjL5zvbsO9HOPEaDKcr1BgYqN8I1tQlWpbwkBQsxQJpl+AwVcHrO3JA79zuJsLVweGll6R58yqvb6fnVrPXcDcqdn7E6pMW3MFwYMDuadescXGjRrDd3fXHZ/ISLUt4SApm7BBvpiwhmmy6e5TP+/M6EQenaUVcoNGsGEOyCyfc2tmw30rBRz4vXX+9HbCc13GC4e9+Jx07Jv3VX9nP12zWql6hxhln2M8ftyXatC/hIRkIdogvk5YQTeX1HvnBwMrWGhH/OagXHJzA00n/uulew+GEk1LJPmzj5z+XjhypfJ0vflFatcp+fObMcgBrVAlcbz/ezJn2jJ+XXnoA/EWwQ3yZuoRo0sxV2D97QgJ0WG08otqwf/CgXW3rhDfndR56SLr55vLjTzxR+brVY2i2H29goBzuaPQLhIdgB/gtDjNXaMhp4+E+b9XhPtPVj/1WUW3Yry58cMLdjTfaX5850973d9lljZ/DSyj1Y98ggNYQ7JB80+0hCyJkEdpiK8w2HkE1QfaiOoS5PfmktHhx8++fLpQuXy69/Xbl99DoFwgewQ7Jd8MN01+T5n14JjFgGbvV81Y7FeWG/WzWXn51Zuoc994rXXJJ8wA2XTGIJE1NpfSsTiBCBDtAMr+VhwnVv2HsCTRkGTsth8Fv2WLvqXNz77mb7metF0qdJVqnGIRGv0C4CHaA6cKo/n3oIWnu3PpfO/VU6YILwpvRNGTmtJPzVuPgJz+xl0udQoknn7Rn6tx77toJYDT6BaJFsANMF0b17733Nv/6jh3tP3dMJfkw+GJRuuWWcqh76SV7T90ll1QWVGQyrQewKPcNAuDkCcQZf+Wfnl/3yPSlap8l/TD4nh57gnb+fPtncwol3CdJXHih9PTT7QWwTKbxLF9/P6EOCBIzdogvL/ux8nlvxRNJNd092rZN+vjHwx2T4dJwGHwSZtXC6jUIxA3BDvFmyH4so6XlHvlUYGL6HjG/Ao1zTbFY+1z9/eXzYE0MR2H2GgTihmAHIP68Fphs3Ggfh+BWFfhMns3yM9DEORyF2WuwET8CNrOOCAJ77JBsBvRFQwi87gG84QZp0aLKj/POs4Ohi6l7xKoDjbPXzx1oJia83Q4/nqtUKs/sVSsW7a8Hwek16N73ODpau4Qe1FK5E4pXrKjdb1ko2I+vXNn85/fjOYB6mLFDshnSFw0NmNCfT2o6BpNmVfxsntzpc0U94xdlr0E/ZgxNmHVEQlkGK5VKliSrVCpFPRQgOjt2WJY0/ceOHa0/99iYt+ceGzP75/L6c7T48x04YFlLllhWLmdZ+Xzl1/J5+/ElS+zrwuS8tvtHqDfGIJ+rUCh/n/t69/PlcvZ1QRoZqRz7yIi/z3/gQP2fIZ+3rIGB8s85MlL/fjRTfa/aeQ4kUyf5hxk7wC9BzT4FOesYxlJ1o/uybZu374+w1Yqpsyp+Nk9u97nCPnqtnqB7DTablXR0d7c/Y5iWE04QsgCCpm+YsUNsBDmrFrQdO+wZq0YfnYzZ633pdLYwoBk7yzJzVqXeLNv8+Za1ZUv96wuFxrOKnc7+efn+RrNe043N6+sG9XvxMis5b17nM4ZBzzoifjrJPwQ7wA9RLmmarNPAFUGwqxdC/Fz67FS9QDN/vv35zJmW9fLL9a+vt2TsVzhqFkyCWM4Ocxm42T0aGCgvx7b758KkP1swRyf5h6pYAPiDRpWK2ax9nK5bFOfG1muevHSp9MQT9hFgR47Y57/+5Cf29c0qXBs9V3W1aaOqV0ej5VDn/vlZyetweg1WL1m6T87wq9eg+zmd5dKdO8tdc/L59k8nSfoJJ4hIAEHTN8zYITaYsasvrBm7Tpd8//AajWaCXn7Zng3za1al3aXJZrNf7jHOnz/97JsfM2leZ/yCWDYNYnm3mepZSWcJtt0ZQ1OKT2AmlmKBqBHs6gsr2FlW/b2CGzd6ew3XPsLqN9annioHppkz7c87CSWdBqpmgWbLlvKyrJcA2kk4ajWYxHnJsd7Yu7vtZdh2Q7GpFdcwA1WxAFCvKvjii1uuKK6uVLzxRvvxmTOll16SFi+WLrmk/XNjO620zWQaV+Bedpn02GPeK1ybPdd0P0+rR6/5WckbpurlUnflbz1eTydp9YQTk/opwmxdlmVZUQ+ikcnJSWUyGZVKJfX29kY9HKCxV1+1TzGYztiYHTbSwut9aWbHjuCbFNdpyfJ//6/0l5+0//2gevT/PbVAN9xQ/nonTXibhYVOWl1Uh0Mp2NYZrYSNsMfmh2LR3m9Z/Xup/v21EuzbEXUzaISvk/zDjB2A6K1fL33gA7WPh3HyRINzZi+S9Krr8w//Pzt0ySULKmam2j03Noj+Zc3Contm0E9eZ/yiGJsfWp2VDIqp/RQlZhJNxIwd4Aevh9CHMftkkijvi9eG0R5nFS/WmEq5i30NIaOjlUuTIyN2ZWqrTJlZitvYvDAluAQ1y9sJZhKDw4wdEDXOpK0vqvvSSqD0qP+90s/a2FPXiJ+nJpgysxS3sXnRyT5EP5l4SoXJM4lpxowdgORpZc+j5Onavf82pmWfvdiXGYhCQbriCmnXrvqzL9/+tnT++a29hikzS/WYPLa48WuW1y8mziQmQSf5h2AHILhzbqMSQLDT2JiKfRd3HEKKRel//S871Lkrbd1vkDNnShdeKP3HfxB4UGZqAYqp44qzTvIPJ08AaecsWy5a1PjjvPPs61Kuv7/zoNXTI51+evmkiI99zH5jzGalDRvKj+/f39ppDKYolRqfVlEs2l9H60w+pcJpZeMWh1Y2ScUeOyDO2p1pc3/ftm3eXsv0lNHOzxSBTEZ6/nlp+3bp1lvLb8zOEtaRI9L8+dKLL5pZTNAMm+mDUe/4t+o9d37t/WyHn/tF0TmCHcyUtKXBIHgtENi4sXywpbND3cv3xcmzz0pXXx31KDzLZOxmwqZthu8Um+mDYXIBSlxb2SQZwQ7moXWIN15n0NxddSU76CXJ+Hhnoc7ru2EA75pxPY2hkf7+2lmkepvp4zYTGbVWT6kIi+kziWlFsIN5vAYW05cGTXXoUNQj8Fenfw4ibFWTxCUsE9tyJIEpbVfcTJ5JTDOCHYD0ct5xIpj5TfISVtJmIlGfqTOJaUewA5AeX/yidM459r+fempkw0j6ElYSZyJRn4kziWlHsAOQHp//fO1jEezVjOMSltcmw0meiQTigGAHwBuTUoafItirGbclLK9tTL75Tenaa5M7EwnEAcEOQH3r10sf+ID977SX8V2clrC8tjGR4jcTCSQNwQ6Iq3bfHb3uLbvsMu9hjr6Diea1jUk2G6+ZSCCJAgt2X/rSl/Rv//Zv2rp1q2bNmqUDBw4E9VJImgj7isVKdZuOfL62Z109F1zgb3uPqPsOpv3PQUi8tjGJ00wkkESBBbvDhw/rpptu0uWXX65vfvObQb0MkijCvmKx474HF18czX2Luu9goz8v27ZJH/94MK+ZUrQxAcwXWLB74IEHJEmPPvpoUC+BJCO0tSet9y2BP7fXKtQw0cYEMN+MqAfgNjU1pcnJyYoPAEgbpwp1xQo7TLkVCvbjK1fa14Wluo3JyIj9T2fPXfU4AUTDqGC3Zs0aZTKZ4x9Z/goImC+fj3oE9cV4r2Z1FaoTmtzhamIivE4t9RoqL11q/9Md7orFcMYDoLGWgt19992nrq6uph9vvPFG24NZvXq1SqXS8Y8CfwUEzDY+7q1gIwrO3ruxscYfETQn9sKpQnWHptHR2nAVVjGC01C5ulDCKajI5WhjApiipT12f/M3f6Pbb7+96TW5XK7twXR3d6u7u7vt7wcQsgia+7bEwNDmldcq1DCY3FDZxL2IQJRaCnZz5szRnDlzghoLAMDFpCpUE9uYeD0RY/Nmwh3SI7A9dvl8Xlu3blU+n9fRo0e1detWbd26Ve+++25QLwnAZDFapyuVGu8XKxbDK1poVIXKLhWbaXsRARMEFuy+8IUvaOHChbr//vv17rvvauHChVq4cKFeeeWVoF4SgKk2bozNsqgpFamdVKGaEkyDZtpeRMAEgQW7Rx99VJZl1XwMDg4G9ZIATDUwEPUIPDNhFqiTKlRTgmlY3AUczl7E6mPOgDQxqt0JAETNhFkgr1Wox47Vhjt3ML3iinQsTzp7Ed04EQNpRbADgCpRzwI5VajDw7Wv5VShPvGEdMsttTNz/f3Shg3SzJnSrl12uEv68iR7EYEygh2A9sW4CfB0op4FymQah6/+fmnGjMZLxh/7mHTkSDncJXl5khMxgEpdlmVZUQ+ikcnJSWUyGZVKJfX29kY9HAD1jI83X9fr6YlN4YSbOzA4TAtG1aFm3Tp7psr5/KGHpBtvLF8/MmLv1UuKYtGesawOrdX3ZXg4WTOUSL5O8k9LfewAoIbJoa3N0NksMA0OmhPumjUx3rDBnrlzGxoyZ+x+cPYiSvX3Ijp97GI4YQy0jRk7AMk0Pi6dd97011UdKxbHWaDR0comxk89Jd17b+OZvCSFO06eQBJ1kn/YYwcgmbyWfVZdF7dzUesVDtx8c3utUuJour2IhDqkDcEOAFy8VKSackRVvcKB+fPLhRMbNpgfTAH4i2AHAFXiMAvUqInxiy+Ww93HPlY5M2daMAXgP4IdAMRQsyXjF19sPDNnSjCFf9JyhBy8oSoWAAzjtSBg8+b61zkzcxQOJJ9zhNzERG1RjLNU39fHLG2aMGMHAAZp5azXOCwZI1gmnG0MszBjB8AsCW147FX1G3W9divOdQQ3OGcbO382Bgfrt7cxpTUPgkewA2CONnvP1RXT4854o0armjWqTlLPQnhDsANgjjZ7z9W1YIEdAGM4+8cbNVrlnG3sblQd5tnGMAfBDkByGRjavOKNGq2o16g6aUfIwRuCHQA4DNrfxxs1vDLtbGOOeYsWwQ4AJH/393XItDdqmKteo+rqpfzBwfDONqb9SvRodwIAkr/7+zrQ6ESJpJ71is6YdrYx7Veix4wdABjEeaOW6r9ROzMehhXzIiKmNaqmqjt6BDsAMIhpb9QwXybT+M9DFAGKqu5osRQLwBwx7T3nN06UgEnaOYvWqep2o6o7HMzYATBHjHvPAUnUbjEEVd3RIdgBMAuhDTBGO0fcUdUdLZZiAQBAXU4xhLsie3S0tnLb2TpAVXf0CHYAILW0v6+dPUdAXLlbpzjFENV98xymtV9Joy7LsqyoB9HI5OSkMpmMSqWSent7ox4OgKTzcPJEqW8BDViRSqOjlUfcjYzYs3HVOHmic53kH/bYAYDDw/6+g8XW9xwBcddKMYRp7VfShqVYAGhBq3uOgLirLoYYGan88++cLgEzEOwAoEWt7DkC4oxiiPgh2AFAG2jAijSgGCJ+KJ4AkF4eiiUa7bur3lMnMWOHZKIYInwUTwBAq8bHpfPOm/66HTtqwl0SG7Dy5o1GKIaIF5ZiAaRTs5m6Jtclcc+Rc2zUihW1G+ELBfvxlSvpzwfEAcEOAFqQxD1H1cdGOeHOPTM5MeE9CwOIDkuxANCCTMZuPlxv2TKblYaH47ds6bRwcULc4GDl8jItXID4INgBQIuSuOfImXF0wp1zwgAFIUC8sBQLAJBECxcgCQh2AABJjY+N4mQBID4IdgAAjo0CEoJgByCdvJatxqm8tU1JbOECpBXFE4BbBycRIGYWLLCbD/P7Pt7CRarfwmVwMH4tXIC0ItgBjg5OIkBM8XuUlMwWLkBaEewAR5snEQBJkMQWLkAasccOAAAgIQh2AAAACUGwAwAASAiCHQAAQEIQ7AAAABKCYAcAAJAQBDvAwUkEAICYo48d4OAkAgDoWKlUv9m1ZB9LR7PrYBHsADdCGwC0rVSSVq6UJiYqj6eTpEKhfDzd5s2Eu6CwFAsAAHxx8KAd6nbutENcoWA/7oS6nTvtr3OAT3CYsQMH3wMAfNHfb8/UOSFucFBat04aGrI/z+Xsr3NMXXAIdmnHwfcAAB9ls5Xhbtky+3En1LmXZ+E/lmLTjoPvAQA+y2btmTq3desIdWEg2AEAAF8VCvbyq9vQUHnPHYJDsAMAAL5xF0rkctLIiP3P6oIKBCOwYLdr1y7dcccdOuecc3TyySfr3HPP1f3336/Dhw8H9ZIAACBCxWJlqHvhBWnpUvuf7nBXLEY7ziQLrHjijTfe0LFjx/TII4/ofe97n1577TXdeeedOnTokB566KGgXhYAYoeGrkiKnh67T51UWSjhLqjo6+MAnyB1WZZlhfViDz74oNauXaudO3d6un5yclKZTEalUkm9vb0Bjy6lXn1VWrRo+uvGxqSLLw5+PEDK0NAVScNfVDrXSf4JdY9dqVTS7NmzG359ampKk5OTFR8AkGQ0dI2vUqnxkmKxaH89jTKZxn3q+vsJdUELLdi9+eab+upXv6pPfepTDa9Zs2aNMpnM8Y8sddHB4+B7IFJOQ1f3/qPR0dp9SjR0NYsz07piRW0xQKFgP75yZXrDHaLT8lLsfffdpy9/+ctNr9m2bZve//73H/989+7dWrFihQYHB/WNb3yj4fdNTU1pamrq+OeTk5PKZrMsxQaNkyeAyLln6Bw0dDVXsWiHN3f4zmZrK0KHhwnlaF0nS7EtB7t9+/bpN7/5TdNrcrmcZs2aJUnas2ePBgcHtWTJEj366KOaMcP7JCF77ACkyehouUu/ZLeJWLo0uvGgueoQV+/oLEI52hFqsGvF7t27deWVV2rRokVav369TjjhhJa+P5bBjtkvAG1gxi6e+L0hCJ3kn8DanezevVuDg4M6++yz9dBDD2nfvn3HvzZ37tygXjZanLsKoA3NZn4GBwkJJnOOznLPtHJ0FqIUWLB79tln9eabb+rNN99Uf9UGgxA7rISLc1cBtKheQ9fqQ9QHB9mrZapGR2cRxhGVwKpib7/9dlmWVfcDAGBzGrpWL9854S6Xo6GrqTg6CyYKbMYOADC9TMZuPlyvoWs2a8/U0dDVPMy0wlQEOwCIWCbTOLgRCszE0VkwFcEOAIAWMdMKUxHsAABoAzOtMFGoZ8UCAAAgOAQ7P3HuKgAAiBBLsX5asMBuPszJEwAAIAIEO78R2gAAQERYigUAAEgIgh0AwHelkt3Et55i0f46AP8R7AAAviqVpJUrpRUrao/VKhTsx1euJNwBQSDYAQB8dfCgNDFRe2aq+2zViYnmdWYA2kOwAwD4qr/fPlYrlyuHu9HR2rNVaeIL+I+qWACA79xnpu7cKS1bZj/uhDrnbFUA/mLGDgAQiGxWWreu8rF16wh1QJAIdgCAQBQK0tBQ5WNDQ7UFFQD8Q7ADAPjOXSiRy0kjI5V77gh3QDAIdgAAXxWLtYUSS5fWFlQ06nMHoH0UTwAAfNXTI/X12f/uLpRwF1T09dnXAfAXwQ6AecbHmzc56+nhXGaDZTLS5s32r7C6pUk2Kw0P27/CTCaa8QFJRrADYJbxcem886a/bscOwp3BMpnGwY3+dUBw2GMHwCxejyPg2AIAqEGwAwAASAiCHQAAQEIQ7AAAABKCYAcAAJAQBDsAAICEINgBAAAkBMEOgFm8HkfAsQUAUIMGxQDMsmCB3XyYkycAoGUEOwDmIbQBQFtYigUAAEgIgh0AAEBCEOwAAAASgmAHAACQEAQ7AACAhCDYAQAAJATBDgAAICEIdgAAAAlBsAMAAEgIgh0AAEBCEOwAAAASgmAHAACQEAQ7AEiQUkkqFut/rVi0vw4guQh2AJAQpZK0cqW0YoVUKFR+rVCwH1+5knAHJBnBDgAS4uBBaWJC2rlTGhwsh7tCwf5850776wcPRjlKAEEi2AFAQvT3Sy+8IOVy5XA3OloOdbmc/fX+/mjHCSA4M6MeAADAP9msHd6cMLdsmf24E+qy2QgHByBwzNgBQMJks9K6dZWPrVtHqAPSgGAHAAlTKEhDQ5WPDQ3VFlQASB6CHQAkiLtQIpeTRkYq99wR7oBkI9gBQEIUi7WFEkuX1hZUNOpzByD+KJ4AgITo6ZH6+ux/dxdKuAsq+vrs6wAkE8EOABIik5E2b7b71FW3NMlmpeFhO9RlMtGMD0DwCHYAkCCZTOPgRv86IPnYYwcAAJAQBDsAAICEINgBAAAkBMEOAAAgIQINdtddd50GBgZ00kkn6ayzztLQ0JD27NkT5EsCAACkVqDB7sorr9STTz6p7du363vf+57eeustffSjHw3yJQEAAFKry7IsK6wX27Rpk66//npNTU3pxBNPnPb6yclJZTIZlUol9fb2hjBCAACAaHWSf0LrY7d//3499thjWrp0acNQNzU1pampqeOfl0olSfYPCAAAkAZO7mlr7s0K2N/93d9Zp5xyiiXJWrJkifXOO+80vPb++++3JPHBBx988MEHH3yk/uOtt95qOXe1vBR733336ctf/nLTa7Zt26b3v//9kqR33nlH+/fv169+9Ss98MADymQy+sEPfqCurq6a76uesTtw4IDOPvts5fN5ZTgDJ3STk5PKZrMqFAoshUeA+x8t7n+0uP/R4v5Hq1QqaWBgQP/93/+t97znPS19b8vBbt++ffrNb37T9JpcLqdZs2bVPF4sFpXNZjU6OqrLL7982tdij120uP/R4v5Hi/sfLe5/tLj/0Qp1j92cOXM0Z86cVr9NknTs2DFJqpiVAwAAgD8CK57YsmWLfvrTn2r58uU6/fTT9dZbb+nzn/+8zj33XE+zdQAAAGhNYH3sTjnlFD311FP68Ic/rPPPP1933HGHLrzwQg0PD6u7u9vTc3R3d+v+++/3fD38xf2PFvc/Wtz/aHH/o8X9j1Yn9z/UPnYAAAAIDmfFAgAAJATBDgAAICEIdgAAAAlBsAMAAEiIWAW76667TgMDAzrppJN01llnaWhoSHv27Il6WIm3a9cu3XHHHTrnnHN08skn69xzz9X999+vw4cPRz201PjSl76kpUuX6pRTTmm5Czla9/DDD2v+/Pk66aSTtHjxYv3kJz+Jekip8eKLL+raa6/VvHnz1NXVpaeffjrqIaXGmjVrdOmll6qnp0d9fX26/vrrtX379qiHlRpr167VhRdeqN7eXvX29uryyy/XD3/4w5afJ1bB7sorr9STTz6p7du363vf+57eeustffSjH416WIn3xhtv6NixY3rkkUf0+uuv65/+6Z/09a9/Xf/wD/8Q9dBS4/Dhw7rpppv0mc98JuqhJN4TTzyhe+65R/fff79effVVXXTRRbrmmms0MTER9dBS4dChQ7rooov08MMPRz2U1BkeHtZdd92ll19+Wc8++6x+//vf6+qrr9ahQ4eiHloq9Pf36x//8R81NjamV155RX/yJ3+iP//zP9frr7/e0vPEut3Jpk2bdP3112tqakonnnhi1MNJlQcffFBr167Vzp07ox5Kqjz66KP63Oc+pwMHDkQ9lMRavHixLr30Un3ta1+TZJ+Yk81m9dnPflb33XdfxKNLl66uLm3cuFHXX3991ENJpX379qmvr0/Dw8O64ooroh5OKs2ePVsPPvig7rjjDs/fE6sZO7f9+/frscce09KlSwl1ESiVSpo9e3bUwwB8dfjwYY2Njemqq646/tiMGTN01VVX6cc//nGEIwPCVyqVJIn/10fg6NGjevzxx3Xo0KGWT+uKXbD7+7//e5166qk644wzlM/n9f3vfz/qIaXOm2++qa9+9av61Kc+FfVQAF+98847Onr0qM4888yKx88880zt3bs3olEB4Tt27Jg+97nPadmyZfrQhz4U9XBS4+c//7lOO+00dXd369Of/rQ2btyoD37wgy09R+TB7r777lNXV1fTjzfeeOP49X/7t3+rn/3sZ/rRj36kE044QZ/4xCcU49XkSLV67yVp9+7dWrlypW666SbdeeedEY08Gdq5/wAQhrvuukuvvfaaHn/88aiHkirnn3++tm7dqi1btugzn/mMbrvtNv3iF79o6Tki32O3b98+/eY3v2l6TS6X06xZs2oeLxaLymazGh0dbXmqEq3f+z179mhwcFBLlizRo48+qhkzIv97Qay182efPXbBOnz4sE455RR997vfrdjXddttt+nAgQOsEISMPXbRuPvuu/X9739fL774os4555yoh5NqV111lc4991w98sgjnr9nZoDj8WTOnDmaM2dOW9977NgxSdLU1JSfQ0qNVu797t27deWVV2rRokX61re+RajzQSd/9hGMWbNmadGiRXruueeOh4ljx47pueee09133x3t4ICAWZalz372s9q4caNeeOEFQp0Bjh071nLGiTzYebVlyxb99Kc/1fLly3X66afrrbfe0uc//3mde+65zNYFbPfu3RocHNTZZ5+thx56SPv27Tv+tblz50Y4svTI5/Pav3+/8vm8jh49qq1bt0qS3ve+9+m0006LdnAJc8899+i2227TJZdcossuu0xf+cpXdOjQIf3lX/5l1ENLhXfffVdvvvnm8c9/+ctfauvWrZo9e7YGBgYiHFny3XXXXdqwYYO+//3vq6en5/i+0kwmo5NPPjni0SXf6tWrtWrVKg0MDOjgwYPasGGDXnjhBT3zzDOtPZEVE//1X/9lXXnlldbs2bOt7u5ua/78+danP/1pq1gsRj20xPvWt75lSar7gXDcdtttde//888/H/XQEumrX/2qNTAwYM2aNcu67LLLrJdffjnqIaXG888/X/fP+m233Rb10BKv0f/nv/Wtb0U9tFT45Cc/aZ199tnWrFmzrDlz5lgf/vCHrR/96EctP0/ke+wAAADgDzZKAQAAJATBDgAAICEIdgAAAAlBsAMAAEgIgh0AAEBCEOwAAAASgmAHAACQEAQ7AACAhCDYAQAAJATBDgAAICEIdgAAAAlBsAMAAEiI/x+2AYkhrwG58gAAAABJRU5ErkJggg==\n" }, "metadata": {} } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "np.random.seed(1)\n", "X_xor = np.random.randn(200, 2)\n", "y_xor = np.logical_xor(X_xor[:, 0] > 0,\n", " X_xor[:, 1] > 0)\n", "y_xor = np.where(y_xor, 1, -1)\n", "\n", "plt.scatter(X_xor[y_xor == 1, 0],\n", " X_xor[y_xor == 1, 1],\n", " c='b', marker='x',\n", " label='1')\n", "plt.scatter(X_xor[y_xor == -1, 0],\n", " X_xor[y_xor == -1, 1],\n", " c='r',\n", " marker='s',\n", " label='-1')\n", "\n", "plt.xlim([-3, 3])\n", "plt.ylim([-3, 3])\n", "plt.legend(loc='best')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_12.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "LxVt2hu0M_9A" }, "source": [ "$\\phi(x_1, x_2)=(x_1, x_2, x_1^2+x_2^2)$" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 543 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:42.644121Z", "iopub.status.busy": "2021-10-23T05:54:42.642734Z", "iopub.status.idle": "2021-10-23T05:54:42.649872Z", "shell.execute_reply": "2021-10-23T05:54:42.651014Z" }, "id": "mf_q9z5k-mkT", "outputId": "6828033d-465a-4cd3-d25e-5883f283b43a" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 30 } ], "source": [ "Image(url='https://git.io/Jtm2X', width=700)" ] }, { "cell_type": "markdown", "metadata": { "id": "ApuYGHYJ-mkT" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "jQmS6Ktw-mkT" }, "source": [ "## 3.5.2 커널 기법을 사용해 고차원 공간에서 분할 초평면 찾기" ] }, { "cell_type": "markdown", "metadata": { "id": "4FsBcrEJM_9A" }, "source": [ "방사 기저 함수(Radial Basis Function) : $K(\\boldsymbol x^{(i)}, \\boldsymbol x^{(j)})=\\text{exp}\\left(-\\dfrac{1}{2\\sigma^2}\\lVert \\boldsymbol x^{(i)}-\\boldsymbol x^{(j)} \\rVert^2\\right)=\\text{exp}\\left( -\\gamma\\lVert \\boldsymbol x^{(i)}-\\boldsymbol x^{(j)} \\rVert^2 \\right)$" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:42.659226Z", "iopub.status.busy": "2021-10-23T05:54:42.658383Z", "iopub.status.idle": "2021-10-23T05:54:43.575457Z", "shell.execute_reply": "2021-10-23T05:54:43.574341Z" }, "id": "538iZGBd-mkT", "outputId": "eadc708b-4f6c-4066-c216-e2eb68f3dda2" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "svm = SVC(kernel='rbf', random_state=1, gamma=0.10, C=10.0)\n", "svm.fit(X_xor, y_xor)\n", "plot_decision_regions(X_xor, y_xor,\n", " classifier=svm)\n", "\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_14.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:43.584301Z", "iopub.status.busy": "2021-10-23T05:54:43.583315Z", "iopub.status.idle": "2021-10-23T05:54:43.929442Z", "shell.execute_reply": "2021-10-23T05:54:43.930009Z" }, "id": "87yFL6yF-mkT", "outputId": "08f23dd3-f9fa-4eac-c7e0-b76edf1693a9" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from sklearn.svm import SVC\n", "\n", "svm = SVC(kernel='rbf', random_state=1, gamma=0.2, C=1.0)\n", "svm.fit(X_train_std, y_train)\n", "\n", "plot_decision_regions(X_combined_std, y_combined,\n", " classifier=svm, test_idx=range(105, 150))\n", "plt.xlabel('petal length [standardized]')\n", "plt.ylabel('petal width [standardized]')\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_15.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:43.938693Z", "iopub.status.busy": "2021-10-23T05:54:43.937644Z", "iopub.status.idle": "2021-10-23T05:54:44.491626Z", "shell.execute_reply": "2021-10-23T05:54:44.490993Z" }, "id": "rV27rLZC-mkT", "outputId": "8132b71b-fbf5-42c6-a191-24370a262073" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "svm = SVC(kernel='rbf', random_state=1, gamma=100.0, C=1.0)\n", "svm.fit(X_train_std, y_train)\n", "\n", "plot_decision_regions(X_combined_std, y_combined,\n", " classifier=svm, test_idx=range(105, 150))\n", "plt.xlabel('petal length [standardized]')\n", "plt.ylabel('petal width [standardized]')\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_16.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "FZiyn9HH-mkU" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "nnSy2y1u-mkU" }, "source": [ "# 3.6 결정 트리 학습" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 335 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:44.497098Z", "iopub.status.busy": "2021-10-23T05:54:44.496346Z", "iopub.status.idle": "2021-10-23T05:54:44.499230Z", "shell.execute_reply": "2021-10-23T05:54:44.499721Z" }, "id": "ryAMDFkL-mkU", "outputId": "f5fc00f4-59c0-4c48-abac-0bd9398b348a" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 34 } ], "source": [ "Image(url='https://git.io/Jtm21', width=500)" ] }, { "cell_type": "markdown", "metadata": { "id": "-LG4c3nj-mkU" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "yv7kDTHS-mkU" }, "source": [ "## 3.6.1 정보 이득 최대화 - 자원을 최대로 활용하기" ] }, { "cell_type": "markdown", "metadata": { "id": "Jbs7-r3TM_9B" }, "source": [ "$IG = I_p - \\dfrac{n_l}{n_p}I_l - \\dfrac{n_r}{n_p}I_r$" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 161 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:44.505129Z", "iopub.status.busy": "2021-10-23T05:54:44.504348Z", "iopub.status.idle": "2021-10-23T05:54:44.507877Z", "shell.execute_reply": "2021-10-23T05:54:44.507309Z" }, "id": "alIiVt47-mkU", "outputId": "4255410b-25d9-4abc-e01b-e146c47b9588", "scrolled": true }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 35 } ], "source": [ "Image(url='https://git.io/Jtm2D', width=500)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 498 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:44.535134Z", "iopub.status.busy": "2021-10-23T05:54:44.516144Z", "iopub.status.idle": "2021-10-23T05:54:44.670059Z", "shell.execute_reply": "2021-10-23T05:54:44.670569Z" }, "id": "FnIiNPvD-mkU", "outputId": "1bc50b77-e1d1-4723-b8df-dbca6e325c1e" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "\n", "def gini(p):\n", " return p * (1 - p) + (1 - p) * (1 - (1 - p))\n", "\n", "\n", "def entropy(p):\n", " return - p * np.log2(p) - (1 - p) * np.log2((1 - p))\n", "\n", "\n", "def error(p):\n", " return 1 - np.max([p, 1 - p])\n", "\n", "x = np.arange(0.0, 1.0, 0.01)\n", "\n", "ent = [entropy(p) if p != 0 else None for p in x]\n", "sc_ent = [e * 0.5 if e else None for e in ent]\n", "err = [error(i) for i in x]\n", "\n", "fig = plt.figure()\n", "ax = plt.subplot(111)\n", "for i, lab, ls, c, in zip([ent, sc_ent, gini(x), err],\n", " ['Entropy', 'Entropy (scaled)',\n", " 'Gini impurity', 'Misclassification error'],\n", " ['-', '-', '--', '-.'],\n", " ['black', 'lightgray', 'red', 'green', 'cyan']):\n", " line = ax.plot(x, i, label=lab, linestyle=ls, lw=2, color=c)\n", "\n", "ax.legend(loc='upper center', bbox_to_anchor=(0.5, 1.15),\n", " ncol=5, fancybox=True, shadow=False)\n", "\n", "ax.axhline(y=0.5, linewidth=1, color='k', linestyle='--')\n", "ax.axhline(y=1.0, linewidth=1, color='k', linestyle='--')\n", "plt.ylim([0, 1.1])\n", "plt.xlabel('p(i=1)')\n", "plt.ylabel('impurity index')\n", "# plt.savefig('images/03_19.png', dpi=300, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "ap06fLrJ-mkU" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "wCnpDjkk-mkV" }, "source": [ "## 3.6.2 결정 트리 만들기" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:44.678371Z", "iopub.status.busy": "2021-10-23T05:54:44.677619Z", "iopub.status.idle": "2021-10-23T05:54:44.976412Z", "shell.execute_reply": "2021-10-23T05:54:44.976881Z" }, "id": "exDvo2T_-mkV", "outputId": "9cd56c61-7393-4f7e-9bb0-6e5800de236b", "scrolled": true }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from sklearn.tree import DecisionTreeClassifier\n", "\n", "tree_model = DecisionTreeClassifier(criterion='gini',\n", " max_depth=4,\n", " random_state=1)\n", "tree_model.fit(X_train, y_train)\n", "\n", "X_combined = np.vstack((X_train, X_test))\n", "y_combined = np.hstack((y_train, y_test))\n", "plot_decision_regions(X_combined, y_combined,\n", " classifier=tree_model,\n", " test_idx=range(105, 150))\n", "\n", "plt.xlabel('petal length [cm]')\n", "plt.ylabel('petal width [cm]')\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_20.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 807 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:45.020105Z", "iopub.status.busy": "2021-10-23T05:54:44.994944Z", "iopub.status.idle": "2021-10-23T05:54:45.551513Z", "shell.execute_reply": "2021-10-23T05:54:45.550650Z" }, "id": "vt8TzBIa-mkV", "outputId": "229ffa10-af98-494e-c5d3-458a1a7c8200" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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4T0kyMjLw9u1bDB06FJs3bxa3d+jQAd26dcPPP/+MnTt3ivsC72YmTp8+jU8++QQAMHDgQLRs2RL+/v6YPHkydHV1i3xW4bKpESNGlBoXERERUXkx0aBKkZSUBDs7O4hEIol2Q0ND6OjoyDxOkyZNpNoKv1inpqaWK9H48ssvy3xPcTQ0NAAAubm5RV5//fq1uE9J1NXVkZmZKVVLxMnJCY0aNUJUVJREXwDo06eP+LMAAGVlZQwZMgQ///wzzp8/j549e0o959GjR4iIiEDXrl3x2WeflRoXERERUXkx0aBqraSlPeU9zva///6Tua+enl6JJ1rp6upCXV29yOVRgiDg8ePHcHBwKPU5pqamSEhIgJGRkdQ1Y2NjxMXFSfQFUGxf4N2SrqJs3boVb9++5SZwIiIiqnRMNKhSmJub4/bt2xAEQWJW49mzZ0hPT1dcYPi/L+OyKG2PhpKSEjp06IC4uDjk5uZKLKG6evUqsrKy8Pnnn5f6nI4dOyIhIQEPHz6ElZWVxLWHDx/C0NBQom9h+4cK297v/75NmzZBS0sLX3/9dakxEREREVUEEw2qFH379kVAQAB27Ngh3gwOQObidZVJnns0AGDIkCE4c+YM1q5dK66jAQDLly+HkpKS1D6VhIQEKCsro2nTpuI2T09PbN26FWvWrMFXX30lbj948CAePXqE0aNHi9u6du0KMzMz8bXCjehZWVnYunUrdHR0YGtrKxXnmTNnkJiYCG9vb5mWcxERERFVBBMNqhQzZ87E9u3bMXz4cFy4cAEWFhY4ffo0zp07B319fam9G1VJnns0gHfF+TZv3oypU6ciKSlJXBl8586d8PHxkSqoZ2lpCTMzMyQnJ0vENHjwYOzYsQO9evVCnz59cP/+fQQHB8PY2Bh+fn7ivnXq1EFISAhcXV1ha2uL77//HioqKti0aRP+/fdfbNiwAZqamlJxchM4ERERVSUmGlQp9PX1cebMGUydOhUbN24UnxYVGRkJGxsb8Ybm2kBZWRkRERGYO3cudu7ciZCQEDRu3BiBgYESMxyl2bp1K9q2bYuNGzfCx8cH2tra+Prrr7Fw4UI0bNhQom+vXr1w/PhxzJ8/HwsXLsTbt2/Rvn17HDhwAH379pUaOysrC3/++SdatWqFTp06Vfg9ExEREZVGJJR3Ry1Vqbi4OHTo0AGxsbGwtrZWdDjllpqaCn19fYwZMwZr1qxRdDhUw9SWfwdEREQfA1YGp0qTk5Mj1bZ48WIAgLOzc1WHQ0RERERViEunqNK4uLigadOm6NChA96+fYtjx44hPDwc9vb2cHNzU3R4RERERFSJmGhQpenbty+2bduGvXv3IicnB59++immTZuGefPmlVgfg4iIiIhqPiYaVGlmzJiBGTNmKDoMIiIiIlIA7tEgIiIiIiK5Y6JBH4Xk5GSIRCKJehREREREVHmYaBDVQJmZmZg/fz769esHU1NTiEQiODk5lXjPkSNHYG9vD01NTejp6cHd3R2JiYlS/TZv3gyRSFTka86cOZX0joiIiKi24R4NohooJSUFfn5+aNCgATp06IDnz5+X2H///v1wd3eHlZUV/P39kZWVhRUrVsDOzg4xMTEwNzeXumf27NmwtLSUaGvdurU83wYRERHVYkw0iGogY2Nj/PvvvzA1NQUA6OjoFNs3Pz8fEyZMgKmpKc6cOYP69esDAPr164fWrVtj9uzZ2L59u9R9zs7Opc6SEBERERWHS6eoVK9fv4afnx9atGgBDQ0N6OjooHXr1vD19ZXo98cff6Bv37749NNPoaqqigYNGmDw4MG4d++e1JgikQjDhw9HVFQU7OzsoKGhAVNTUyxZsgQAkJaWhpEjR8LQ0BAaGhro06cPHj9+LDGGn58fRCIRrl+/ju+//x4NGjSAuro67O3tcfbsWZnemyAIWL16NTp06AANDQ3Uq1cP3bp1Q2RkpFTfrVu3wsbGBjo6OtDU1ESTJk3g4eGB1NRUWT9KuVFVVRUnGaU5efIkHj58iFGjRomTDABo0aIFevXqhb179yIrK6vIezMyMpCXlyeXmImIiOjjwhkNKtX48eOxZcsWeHt7o3379sjNzUViYiJOnDgh0S8kJAT6+voYN24cDAwMcPPmTaxfvx6RkZG4fv069PX1JfpfvnwZBw8ehLe3Nzw9PbFr1y74+vpCVVUVW7duhbm5Ofz8/HDnzh2sXLkSXl5eOHbsmFR8np6eUFVVxaxZs5Ceno6QkBB88cUXOHnyJDp16lTie/P09MSOHTvw9ddf47vvvkNubi7CwsLg7OyMPXv2wNXVFQAQGhqKYcOGoXfv3hg+fDiUlZXx4MEDHDp0CCkpKfjkk09KfE5aWhrevn0ry8eN+vXrQ1VVVaa+soiJiQEA2NraSl2zs7PD/v37cf36danPytXVFRkZGRCJRGjXrh18fX0xcOBAucVFREREtZxANUJsbKwAQIiNja3yZ+vq6gpjx44ttV9mZqZU24kTJwQAwqJFiyTaAQgikUg4f/68uC03N1cwMjISRCKRMHHiRIn+Pj4+AgAhISFB3DZv3jwBgNC5c2fhzZs34vZbt24JysrKgp2dnbgtKSlJACDMmzdP3LZnzx4BgLBu3TqJZ+Xl5QkdOnQQzM3NhYKCAkEQBKF///6CpaVlqZ9BcczMzAQAMr02bdpU5vG1tbUFR0fHIq9NmDBBACDcvHlT6lpYWJgAQPjrr7/EbTt37hSGDBkibNiwQThw4IAQFBQkNGnSRAAgLFu2rMyxyZMi/x0QERFR2XBGg0qlra2NCxcu4N69e2jSpEmx/TQ1NQG8W46UkZGBN2/eoHXr1tDW1sbFixel+tva2kr8FV1FRQUdO3bEgQMHMGnSJIm+Dg4OCAwMRGJiIlq0aCFxbfLkyVBWVhb/3Lx5c/Tv3x+7du3C8+fPYWBgUGS827Ztg46ODvr164eUlBSJa3379oWfnx8SExPRvHlzaGtr49GjRzh16hS6du1a7GdQnLCwMOTk5MjUt1WrVmUevyTZ2dkAUOQsiZqamkQfABg4cKDUzMWoUaPQrl07/Pjjj/D09Cz2MyUiIiIqxESDShUUFARPT080bdoULVq0gIODA/r06YO+fftCSen/tvlcunQJc+fOxalTpyS+uAJAenq61LhFJS26uroAgMaNGxfZXtR+CAsLC6m2li1bAgDu3btX7Jfi+Ph4pKeno0GDBkVeB4CnT5+iefPmmD17Nk6dOgVHR0cYGRmhS5cucHZ2xuDBgyX2PRTH3t6+1D6VRUNDAwCQm5srde3169cSfYqjqamJyZMnY8KECYiMjOQSKiIiIioVEw0qVb9+/ZCcnIxDhw7h5MmTOHbsGNavXw9HR0ccPXoUysrKuH//PpycnKCnp4f58+ejWbNm0NDQgEgkwqBBg1BQUCA1bp06dYp9ZnHXBEGQ2/sSBAFGRkYIDQ0tto+VlRUAoFmzZrh58yaOHz+O48eP4+TJkxgzZgz8/PwQHR0NMzOzEp/1/PlzmfdoaGtrQ11dXfY3UgoTExMAwKNHj6SOq3348KFEn5IUHoH74ewPERERUVGYaJBM9PT04OHhAQ8PDwiCAF9fX/j7+yM8PBxubm7Yt28fsrKy8Pfff0sciZqTk4O0tLRKjS0hIQFt27aVaLt58yYA6ZmR9zVr1gyHDx8Wn3pVGlVVVfTq1Qu9evUCABw6dAi9e/dGYGAggoKCSrzXxsYG9+/fL/UZALBp0yYMHz5cpr6ysLGxAQBER0fjyy+/lLgWHR0NNTU1cUJVksLifiXNABEREREVYqJBJXr79i0yMjIk6jSIRCK0b98ewP8tZSqcgfhwxsHf37/I2Qx5CgoKgru7u3ifxu3bt7F3717Y2trC0NCw2Pu8vLxw8OBB/PjjjwgMDJS6/vTpU/GX6pSUFKlTs6ytrQEUvZzrQ4rco+Ho6AgTExOsX78ePj4+qFevHgDg1q1bCA8Ph7u7u3h/DfDu/Xx4ilZqaiqWLVsGTU1NdOvWTa7xERERUe3ERINKlJGRAWNjY7i6uqJ9+/YwNDREUlISVq9eDT09PfTu3RsA0LNnT6irq8PLywsTJkxA/fr1ceLECVy6dKnUo18r6vXr1+jatSu+/fZbvHz5EqtWrYKSkhKWLVtW4n2FR9oGBQXh0qVL6NWrF/T19fHw4UNER0fjzp074hogLi4u0NHRgYODAz799FOkp6dj8+bNEIlEGDp0aKkxVsYejd9++0289yU3Nxf379/HggULAABt27ZF3759AQB169ZFcHAwBgwYAHt7e3h7eyM7OxtBQUHQ0tLCr7/+KjFumzZt0LVrV7Ru3RqGhoa4d+8e1q9fj5SUFKxZswZ6enpyfy9ERERUCyn0zCuSmaKO9czNzRV8fX0FGxsbQU9PT1BRURHMzMyE7777TkhMTJToe+LECcHW1lbQ1NQU9PT0hG+++UZITk4WzMzMpI5eBSAMGzZM6nnDhg0Tivq1jIyMlDr6tfB426tXrwrjxo0TDAwMBFVVVcHW1lY4deqUxP1FHW9baOvWrUKXLl2E+vXrC6qqqoKZmZnQv39/4Y8//hD3WbdunfDll18KDRo0EJSVlQUjIyOhZ8+ewokTJ0r/ECtJSUfmFvXZHjp0SLC1tRXU1dUFHR0dwc3NTeK44EJTpkwRrK2tBT09PaFu3bqCvr6+0KdPH4W+10I83paIiKjmEAmCHHfXUqWJi4tDhw4dEBsbK16y87Hz8/PD/PnzkZSUJN6oTLUb/x0QERHVHEqldyEiIiIiIiobJhpERERERCR3TDSIiIiIiEjumGhQjeXn5wdBELg/g4iIiKgaYqJBRERERERyx0SDiIiIiIjkjokGlcrJyanWLU+KioqCSCQSvxYvXqzokD5Ku3fvlvjvsHnzZkWHRERERHLCRIM+at7e3ggNDRVX0S40ceJE2NjYwMDAAKqqqjA3N8fAgQNx+fJlqTH8/Pwkviy//1q/fn2F4qvtcXTs2BGhoaGYPXt2heIjIiKi6qeuogMgUiRbW1t4eHhItZ8/fx6dOnXCkCFDoK2tjQcPHmDTpk3o1KkTIiIi4OTkJHVPYGAg9PX1pcaviNoeR6NGjeDh4YGoqCj8+uuvFYqRiIiIqhcmGkRFiImJkWobM2YMGjVqhGXLlhX5xdrNzU3uS8wYBxEREdVUXDpVSxw+fBgikQghISFFXm/ZsiU+++wz8c8XL17E8OHD0axZM2hoaEBbWxvdu3fHiRMnZHqeSCTC8OHDpdo3b94MkUiEqKgoifaXL19i5syZ+Oyzz6CqqgoDAwMMHjwY9+7dk/k9KpqhoSHU1dWRnp5ebJ9Xr17h7du3jKMK4yAiIqLqiYlGLeHi4gIjIyOEhoZKXYuNjUV8fDw8PT3FbXv37sXt27cxePBgrFixAtOmTcPdu3fh7OyMkydPyjW2ly9fws7ODiEhIejduzeCg4MxYcIEnDhxAp06dcL9+/dLHSM7OxspKSkyvV6+fCmXuAsKCpCSkoKnT5/i0qVL8PDwQEZGBnr16lVk/zZt2kBbWxuqqqpwcHDA8ePHGUclxEFEREQ1A5dO1RJ16tTBkCFDsHz5ciQmJqJZs2bia6GhoRCJRBKJxpw5c7Bo0SKJMcaOHYuWLVti0aJFcHR0lFtsP/30E5KSknD+/Hm0adNG3D58+HC0bt0a8+bNK/W0IX9/f8yfP1+m5zk6OkrNqJTHgwcP0LhxY/HP2tramD17NmbMmCHRT0dHB97e3rCzs4Ouri5u3ryJwMBAuLi4YOfOnfj6668ZhxzjICIiopqBiUYt4uXlheXLlyM0NBQ///wzACA/Px87duyAvb09mjRpIu6rqakp/r+zsrLw+vVriEQidOzYEdHR0XKLSRAEhIWFwcnJCQ0bNkRKSopEDJ07d0ZERIRM761Lly4yPVNXV7fc8b7PyMgIR48exZs3b3Dr1i1s2bIFGRkZyMvLQ506dcT9Jk+eLHGfq6srhg0bBisrK0ycOBH9+vWDsrIy45BTHERERFQzMNGoRdq2bYs2bdpg27ZtmD9/PkQiESIiIvDs2TMsWLBAou/Tp08xe/ZsHDhwQOLLP/Bu/4W8PH/+HKmpqTh8+DAMDAyK7KOkVPoKviZNmkgkSlVBTU0NX375JQCgV69e8PDwgJWVFV68eIFt27aVeK+xsTFGjBiBgIAAXL58GR07dmQccoqDiIiIagYmGrWMl5cXpk2bhjNnzsDBwQGhoaFQU1PDwIEDxX0KCgrg4uKCW7duwcfHB9bW1tDW1oaSkhIWLVok84bwouTn50v8LAgCAKBHjx6YNm1aucfNzMxEZmamTH1VVFSgp6dX7mcVx8DAAC4uLti+fTvWr18PNTW1EvsXnrj0YSLHOOQbBxEREVVPTDRqmaFDh2LmzJnYunUr2rVrh/3798PV1RXa2triPteuXcPVq1cxb948+Pn5Sdw/d+5cmZ6jp6eHFy9eSLV/eIqUgYEBdHR0kJGRIf5reHkEBARU+R6NouTk5KCgoACvXr0q9Yt1YmIiAKBBgwaMo5LjICIiouqHiUYtY2RkBGdnZ/z555+wtrZGTk4OvLy8JPoUrqcvnG0oFBUVhQsXLsj0nObNmyM6OhrZ2dnQ0NAAAKSlpWHTpk0S/ZSUlDB06FCsWrUK+/btg5ubm9RYz549g6GhYYnPq8o9GqmpqdDW1kbdupL/PBITExEREYHGjRuL483Pz0d2dja0tLQk+t65cwcbN26Eqakp2rVrxzjkEAcRERHVLEw0aiEvLy8cOXIEvr6+aNCgAXr06CFx3cLCApaWlvD390dOTg6aNWuGa9euYfPmzbCyssK1a9dKfcaECRPg4eGB7t27w9PTE+np6fj9999hZmaG//77T6LvwoULcfbsWbi7u+Pbb79F586doaysjPv37+PQoUPo0KFDqadOVeUejYMHD+Knn36Cu7s7mjZtirp16+LmzZvYsmULXr9+jeDgYHHfzMxMNGnSBG5ubrCwsICOjg7i4+Oxfv165Obm4o8//pDYKA282wNjZmaG5ORkxkFERES1FhONWsjNzQ1aWlp49eoVRowYIfWX6Lp16yI8PBxTp07Fhg0bkJubC2traxw8eBCbNm2SKdEYOnQoHj16hFWrVmHKlClo0qQJfvrpJygpKUnNimhra+Ps2bNYtmwZdu3ahX379qFu3bowNTVFly5dMGrUKLm+/4qysbFBt27dcOjQITx+/Bhv3ryBsbExXF1dMW3aNIm/yKurq8Pd3R0XLlzAnj17kJWVBQMDA/Tq1Qu+vr5o3769xNgZGRkAABMTE8ZBREREtZpI+HD9DFVLcXFx6NChA2JjY2Ftba3ocGq8qKgodOvWDcHBwRg0aBA0NTWhrq5e6c89cOAA+vXrhxMnTqBbt26V/rzqHsebN2/w6tUrnD17Fm5ubti0aVORFecL8d8BERFRzcHK4PRRmzhxIgwMDLBixYoqed4///yDPn36KPTLfXWK48CBAzAwMChy7w4RERHVbFw6RR+ltm3b4ujRo+Kf36+kXplWrVpVJc8pTXWJo2vXrhL/HVq1aqXAaIiIiEiemGjQR0lXV7dCx+2SfBgaGvK/AxERUS3FpVNERERERCR3TDSIiIiIiEjumGgQEREREZHcMdEgIiIiIiK5Y6JBRERERERyx0SDiIiIiIjkjsfb1jDx8fGKDoFIYfj7T0REVHMw0agh9PX1oaGhAQ8PD0WHQqRQGhoa0NfXV3QYREREVAqRIAiCooMg2Tx48AApKSmKDkOhFi1ahPDwcOzevRtGRkaKDqdKBAQEYO/evfjzzz/RsGFDRYejcPr6+mjUqJGiwyAiIqJSMNGgGiM6Ohr29vYIDAzEDz/8oOhwqkxGRgZatmyJ1q1bIzw8HCKRSNEhEREREZWKiQbVCHl5ebC2toaamhrOnz+POnXqKDqkKnXgwAH069cPf/zxB7799ltFh0NERERUKiYaVCMsWrQIc+fORUxMDNq3b6/ocBRiwIABOHv2LOLj46Grq6vocIiIiIhKxONtqdq7e/cufv75Z0yePPmjTTIAYOXKlcjOzoavr6+iQyEiIiIqFWc0qFoTBAEuLi5ITEzEjRs3oKmpqeiQFGrVqlWYMGECTp8+jS5duig6HCIiIqJiMdGgam3btm3w9PREeHg4evXqpehwFO7t27ewt7dHRkYGLl++DBUVFUWHRERERFQkLp2iais1NRU+Pj4YOHAgk4z/r06dOli3bh1u374Nf39/RYdDREREVCwmGlRtTZ8+HXl5eVixYoWiQ6lW2rRpg6lTp2LBggW4ffu2osMhIiIiKhKXTlG1FBUVhW7dumHt2rXw9vZWdDjVTnZ2NqysrGBubo7jx4+ztgYRERFVO0w0qNp5/fo12rZtCwMDA5w6dQpKSpx4K0pERAR69OiBzZs3Y9iwYYoOh4iIiEgCv8FRtbNo0SIkJSVh3bp1TDJK4OLigiFDhmDq1KlISUlRdDhEREREEvgtjqqV+Ph4LFq0CDNnzkTLli0VHU61FxgYiIKCAkydOlXRoRARERFJ4NIpqjYKCgrg5OSE//77D1evXoWampqiQ6oRNmzYgFGjRuHYsWP44osvFB0OEREREQAmGlSNrF+/HqNHj8bx48fRvXt3RYdTYwiCACcnJzx+/BhXr16Furq6okMiIiIi4tIpqh6ePn2K6dOnY9iwYUwyykgkEmHt2rV48OABFi5cqOhwiIiIiAAw0aBqwsfHB3Xq1EFAQICiQ6mRLCwsMGvWLCxZsgQ3btxQdDhEREREXDpFinfkyBH07NkTW7ZsgZeXl6LDqbFyc3PRtm1bfPLJJzh9+jRP7CIiIiKFYqJBClVYeK5JkyY4evQoC89V0MmTJ+Hk5IQ1a9ZgzJgxig6HiIiIPmJMNEihZs6ciRUrVuDatWto1qyZosOpFUaOHIm//voL8fHxMDY2VnQ4RERE9JHi2gpSmCtXrmDZsmWYO3cukww5Wrp0KVRUVDB58mRFh0JEREQfMc5okEK8ffsWdnZ2yMrKQlxcHFRUVBQdUq0SFhYGDw8P/P333+jdu7eiwyEiIqKPEBMNUojg4GBMmjQJZ86cgb29vaLDqXUEQcBXX32FhIQE3LhxA/Xq1VN0SERERPSRYaJBVe7hw4ewtLTE0KFDsWbNGkWHU2vdvXsXVlZW+P7777Fs2TJFh0NEREQfGSYaVOX69++P8+fPIz4+Hjo6OooOp1ZbvHgxfvzxR8TExMDa2lrR4RAREdFHhIkGVal9+/ahf//+2LlzJwYOHKjocGq9vLw8dOjQASoqKjh//jzq1q2r6JCIiIjoI8FEg6rMq1ev0LJlS7Rt2xZ///03a2ZUkfPnz8POzg7Lly/nSVRERERUZZhoUJWZNGkSNmzYgBs3bsDc3FzR4XxUxo8fjy1btuDmzZto1KiRosMhIiKijwATDaoSFy9eROfOnbF06VJMnTpV0eF8dF6+fAlLS0t8/vnn2L9/P2eTiIiIqNIx0aBKl5eXBxsbGygpKeHixYvcJ6Age/bswYABA7B7924MGDBA0eEQERFRLcdEgyrd0qVL4evri4sXL6JDhw6KDuejJQgC3NzcEBMTg/j4eGhrays6JCIiIqrFlBQdANVuSUlJmDdvHiZNmsQkQ8FEIhF+++03ZGRkYPbs2YoOh4iIiGo5zmhQpREEAb169cKNGzdw8+ZNVqeuJlasWAEfHx+cPXsWtra2ig6HiIiIaikmGlRp/vjjDwwePBgHDhxA3759FR0O/X9v375F586d8fr1a8TFxUFZWVnRIREREVEtxKVTVCnS0tLwww8/YMCAAUwyqpk6depg3bp1iI+Px7JlyxQdDhEREdVSnNGgSuHt7Y2dO3ciPj4eDRs2VHQ4VIRp06Zh1apVuH79Opo2barocIiIiKiWYaJBcnf69Gl07doVq1atwvfff6/ocKgYWVlZaNWqFZo3b45//vmHtTWIiIhIrphokFzl5uaiffv20NbWxtmzZ6GkxNV51dmhQ4fQu3dvbNu2DUOHDlV0OERERFSL8FsgyZW/vz8SExOxbt06Jhk1QK9evTBw4ED4+PjgxYsXig6HiIiIahF+EyS5uX37NhYuXIhp06ahdevWig6HZLRixQq8efMG06dPV3QoREREVItw6RTJhSAI+OKLL3D//n1cv34d6urqig6JymDt2rUYO3YsoqKi4OjoqOhwiIiIqBZgokFysXnzZnz33XeIiIiAs7OzosOhMiooKEDXrl2RkpKCK1euQFVVVdEhERERUQ3HpVNUYc+fP8fUqVMxdOhQJhk1lJKSEtauXYt79+5h0aJFig6HiIiIagEmGlRhU6dOBQAsX75cwZFQRbRq1QozZszAokWLkJCQoOhwiIiIqIbj0imqkGPHjsHZ2RkbNmzAiBEjFB0OVVBOTg7atGmDhg0bIjIykieHERERUbkx0aByy8nJQevWrWFqaorIyEgWfKsljh8/ji+//BLr16/HyJEjxe0vX76Etra2AiMjIiKimoR/rqRyW7BgAf7991+sXbuWSUYt8sUXX8DLywvTp0/Hs2fPAADXr1+HoaEhnjx5ouDoiIiIqKZgokHlcv36dfj7+2P27Nlo0aKFosMhOVu2bBmUlJTg4+MDABCJRHjz5g3u3bun4MiIiIiopmCiQWVWUFAAb29vfPbZZ/D19VV0OFQJ9PX1sWzZMmzfvh3//PMPjI2NAYAzGkRERCQzJhpUZmvXrkV0dDTWrl3Legu1TH5+Pk6ePIm3b9/Cy8sL3bt3x7hx46CqqgpVVVUmGkRERCQzJhpUJo8fP4avry9GjRqFrl27KjockrPExEQ4OTmhc+fOuHTpEtasWYPHjx/jl19+gZGRER4/fqzoEImIiKiGYKJBZfLDDz9ATU0N/v7+ig6FKoGlpSXOnj2LvLw8dOrUCcuXL8fUqVMREBAAbW1tzmgQERGRzOoqOgCqOf7++2/s3r0b27dvh66urqLDoUpiZ2eHS5cuISQkBHPmzIGamhoaNGiAf//9Fw0aNFB0eERERFRDsI4GySQzMxOtWrWCpaUlDh8+zONsPxJPnjzBtGnTsH37dgBAw4YN8ejRIwVHRURERDUBEw2SyZQpU7BmzRrcuHEDjRs3VnQ4VMVOnDiBAQMGIDc3F9nZ2YoOh4iIiGoAJhpUqtjYWHTs2BGLFi3CjBkzFB0OKUheXh5SUlLER90SERERlYSJBknIzMzE2LFjERISAi0tLeTn56NTp07Iz8/HpUuXoKysrOgQiYiIiKgG4KlTJOF///sfwsLC8PDhQwBAcHAwLl++jN9//51JBhERERHJjKdOkYTC40uNjY3x4MEDzJ07F+PHj0fHjh0VHFn19eDBA6SkpCg6DCK509fXR6NGjRQdBhER1VBMNEjCkydPoKqqCm1tbXh5eUFHRwcLFy5UdFjV1oMHD2BpackN0lQraWhoID4+nskGERGVCxMNkvD48WMYGxtjz549+Pvvv7Fnzx5oaGhg5cqV+O2333Ds2DF+6XhPSkoKsrOzsW3bNlhaWio6HCK5iY+Ph4eHB1JSUvhvnoiIyoWJBkl48uQJDA0NMWnSJPTr1w9GRkawsbHBlStXMGbMGDRs2FDRIVZLlpaWsLa2VnQYRERERNUGEw2S8OTJEzx//hyvXr2Curo67Ozs8Pnnn+PChQuwsbFRdHhEREREVEPw1CmScPfuXSQlJUEQBBw5cgQhISE4f/48kwwiIiIiKhPOaJCEf//9FwDwzTffwN/fH4aGhgqOiIiIiIhqIiYaJGHEiBHo3r07Bg4cqOhQiIiIiKgG49IpkrBmzRomGR8Bc3NziEQiiEQiWFhYlHucS5cuiccRiUTw8/OTX5BERERUozHRIPpIWVhYIDQ0FEuXLpW69t9//2H48OEwNDSEuro6rK2tERYWJtWvSZMmCA0NRWBgYFWEXOkEQYCdnR1EIhHc3Nxkumfz5s0SydaHL2VlZYn+fn5+xfZdv359JbwrIiIixaiUpVOslEw1ycda/bhBgwbw8PCQak9PT0eXLl3w5MkT+Pj4wMzMDH/++Sc8PDyQlpaGCRMmiPvq6enBw8MDycnJ8PHxqcrwK8WaNWtw7dq1Mt3TtWtXhIaGSrUnJCRg4cKF6NOnT5H3BQYGQl9fX6LN1ta2TM8mIiKqzuSeaLBSMtU0rH4safHixbh79y72798PV1dXAMCoUaPQrVs3zJo1C0OGDIGenl6lx5GXl4dbt27Bysqq0p8FvDvaedasWZg3bx6mT58u831NmjRBkyZNpNonT54M4N2+p6K4ubnB3Ny8PKESERHVCHJPNFgpmWqS2lL9OD8/H127dsW1a9cQFxeHZs2aia8FBgZiypQpWLZsGaZMmVLqWGFhYWjatKk4yQAAkUiEyZMno3///ti3b1+xX57l4fz58wgNDcXOnTvRpUsX7Nu3r9Ke9b5JkyahUaNGmDx5cpkSjaLk5eUhLCwMxsbG6NWrV7H9Xr16BU1NTdSpU6dCzyMiIqqOKu3UKVZKJqo6devWxfbt29GuXTsMHjwY586dg4qKCuLi4uDr64uePXvKtLTpv//+w8OHDzF06FCpa3Z2dgCAmJgYuScad+/exbZt27Bt2zbcuXMH9evXh7u7O8aMGSPRLzs7W+bZUmVlZWhra8vUNzw8HH/99RdOnz6NunUr/j+LBw4cQEpKCmbOnFlsEtGmTRtkZGSgTp06sLW1hZ+fH7744osKP5uIiKi64PG2RLWEubk51q1bh2+//RazZs3C/PnzMWjQIOjp6Yk3LJfm0aNHAAATExOpa4aGhlBWVhb3qajU1FTs2rULoaGhiI6OhrKyMnr27ImFCxeib9++UFdXl7rH398f8+fPl2l8R0dHREVFldovKysL48ePx/Dhw2Fvb1/Wt1GkTZs2ASh62ZSOjg68vb1hZ2cHXV1d3Lx5E4GBgXBxccHOnTvx9ddfyyUGIiIiRWOiQVSLDBw4EBEREQgMDER0dDTu3LmDf/75R+bCi4WzBaqqqkVeV1NTq/D+q5iYGCxcuBCHDh1Cfn4+7O3tsXr1agwcOLDUvR9eXl7o0qWLTM/R1dWVqd9PP/2EjIwM+Pv7y9S/NE+ePMGRI0fQpUsXNG/eXOp64d6NQq6urhg2bBisrKwwceJE9OvXT+qkKiIiopqIiQZRLbNy5UocPXoU0dHR8PHxgbOzs8z3amhoAAByc3OLvP769Wtxn/IKDw/H/v37oaamhuXLl2PMmDEyf7EubuN1eV2+fBkrVqzAmjVrpE6AKq8tW7bg7du3ZVpeZmxsjBEjRiAgIACXL19Gx44d5RILERGRIjHRIKpl4uLixMubrl69CkEQZFo2Bfzfkqmilkc9e/YMeXl5RS6rKovRo0ejTp062LZtGyZOnIh58+bhm2++wdChQ9GlS5cSY83MzERmZqZMz1FRUSl1huSHH35As2bN4OjoiDt37khcy8rKwp07d6Crq4tPPvlEpmcC7+pq1K9fv8yFLwtPoOLR4EREVFuwYF8ZiUQiDB8+vNz3Ozk58UhLqjTp6ekYOnQoTE1N8dNPP+H48eNlWhJkZGQEU1NTnD9/XupadHQ0AODzzz+vUIwmJiaYO3cubt26hfPnz2Pw4MH466+/0LVrV5ibm8PX17fYWhYBAQEwNjaW6eXu7l5qLA8ePEBCQgKaN2+OZs2aiV8AcOzYMTRr1gyLFi2S+b2dPXsWt27dwsCBA6GpqSnzfQCQmJgI4F19EyIiotqAMxofmVevXmHu3LnYvXs3UlNT0bhxY4wbNw4TJ06U+a/e8hiDKsfo0aPx6NEjnDx5EnZ2drh48SLmzp2L7t27w8bGRqYxhgwZAn9/fxw4cEB8xK0gCAgMDISmpqbMFbNl0alTJ3Tq1AmBgYE4fPgwQkNDERQUhCVLlsDKygozZ86UKCoo7z0aq1evRlZWllT7N998AxsbG8yYMQMtWrQQtz958gQvX75Eo0aNilxCVrgJfOTIkUU+Lz8/H9nZ2dDS0pJov3PnDjZu3AhTU1O0a9eu1LiJiIhqAiYaZZSTk1OhM+8jIiIgCIIcI5JdXl4eXFxcEBsbi/Hjx8PKygpHjx7FDz/8gAcPHiAgIKBKxqDKsW7dOuzevRvz588Xn560ZcsWtGnTBoMHD8bly5dRv379Usfx9fXFn3/+iSFDhsDHxweNGjXCn3/+iZMnT2LFihVlWkYkK2VlZbi6usLV1RXp6en4888/ERoaij179kgkGvLeo9GzZ89irzVs2FDqBKhZs2Zhy5YtiIyMhJOTk8S1rKws7Nq1C5aWlsVW+M7MzESTJk3g5uYGCwsL6OjoID4+HuvXr0dubi7++OMP1tQgIqJag4lGGampqVXofhUVFTlFUnYbNmzAhQsXsGLFCkyaNAnAu4rPqqqqCAwMxMiRI0stsiiPMUj+4uPj4ePjg65du2LOnDnidkNDQ2zduhVfffUVvv/+e4SGhpY6lq6uLs6cOQNfX1+sWbMGGRkZsLS0xNatW+Hp6VmZbwPAu+NfR48ejdGjR8u8H6M62L17NzIyMvDdd98V20ddXR3u7u64cOEC9uzZg6ysLBgYGKBXr17w9fVF+/btqzBiIiKiSibIWWxsrABAiI2NlffQlSYpKUlwd3cX6tevL9SvX19wdXUV7t27J5iZmQmOjo4SfQEIw4YNk7gXgDBv3jzh4MGDwueffy6oqqoKRkZGwrRp04S8vDyJ+x0dHQUzM7PKf1NF6NKli6ChoSHk5ORItF++fFkAIMydO7dKxqhOKvr7WhN/3wVBEMzMzAQ7Ozvh+fPnQlpaWrnHycvLE54/fy7ExcWJ/x1Q7VBTf7eJiKj6+OhnNFJTU+Hg4ICnT59i7NixsLS0xOnTp9GtW7ci124X59ChQwgJCcHYsWMxYsQI7N+/HwEBAdDV1cXs2bPLFVtZTp/R1tYu8YjQgoICxMbGwtraWmpWpm3bttDQ0EBMTEyJz5DHGFR9nDt3DgYGBmjRogUSEhLKNcb//vc/mfd+EBER0cflo080lixZgocPHyIsLAxDhgwBAIwbNw4zZszA0qVLZR7nxo0buHHjhvhEqbFjx6J169YIDg4ud6JhYGAgc9+i1oy/Ly0tDTk5OUUeTSoSiWBiYlJqxWd5jEHVQ1hYGHJycgCgzKcjva9FixY4evSo+Gd57p8gIiKimu2jTzQOHjwIExMTDB48WKJ92rRpZUo03NzcJI6tFYlE6NatG3777TdkZmaiXr16ZY7t/S9wpWnbtm2J1+VR8bkqqkZT1SjcLF5R9evXx5dffimXsYiIiKh2+egTjaSkJNjZ2Ukdy2poaAgdHR2ZxynqL7mFp/OkpqaWK9GQ5xc4eVR8roqq0URERERUO3z0iYa8lHQkpVDO42z/++8/mfvq6emVeKKVrq4u1NXVi1zaJAgCHj9+DAcHhxKfIY8xiIiIiOjj8NEnGubm5rh9+zYEQZCY1Xj27BnS09MVFxgAY2NjmfuWtkdDSUkJHTp0QFxcHHJzcyWWP129ehVZWVmlVnyWxxhERERE9HH46BONvn37IiAgADt27BBvBgdQLQrPyXOPBvCu4vOZM2ewdu1acQ0MAFi+fDmUlJSk9qkkJCRAWVkZTZs2LfcYVDuJRCIMGzYMmzdvLtf9Tk5OSE5ORnJyslzjIiIiourjo080Zs6cie3bt2P48OG4cOECLCwscPr0aZw7dw76+vpSezeqkrw32Y4aNQqbN2/G1KlTkZSUJK7qvXPnTvj4+KBly5YS/S0tLWFmZibxZbCsYxBVR69evcLcuXOxe/dupKamonHjxhg3bhwmTpwo07/5qKgodOvWrchrQ4cOxbZt2+QdMhERUY3z0Sca+vr6OHPmDKZOnYqNGzeKT4uKjIyEjY0N1NXVFR2i3CgrKyMiIgJz587Fzp07ERISgsaNGyMwMFBidqKyx6CaLycnp8R9SaWJiIgo996lisrLy4OLiwtiY2Mxfvx4cbL8ww8/4MGDB2WazfT29pbal8QjfomIiN756BMNAGjcuDH27Nkj0ZaamorU1FQ0atRIov3DL0fm5ubFfmHy8/ODn5+fRFtUVFSF460IbW1trFy5EitXriy1b3HvqyxjUO30YcHGsirp4ILKtmHDBly4cAErVqwQJ8ejRo2CqqoqAgMDMXLkSFhaWso0lq2tLTw8PCozXCIiohpLSdEBVAeFhcvet3jxYgCAs7NzVYdDpBDJyckYMGAAtLS0oKWlhX79+iEpKQnm5uZSBw2IRCIMHz5c4l6RSAQ/Pz/8/fffsLGxgZqaGoyNjTF9+nTk5+dL3O/k5CRRd6YqhYWFQUNDA97e3hLtU6ZMQUFBAXbs2FGm8bKysoo98pmIiOhjxhkNAC4uLmjatCk6dOiAt2/f4tixYwgPD4e9vT3c3NwUHR5RpUtNTYWDgwOePn2KsWPHwtLSEqdPn0a3bt2QlZUl8ziHDh1CSEgIxo4dixEjRmD//v0ICAiArq4uZs+eXa7YUlJSZO6rra0NZWXlYq8XFBQgNjYW1tbWUrMybdu2hYaGBmJiYmR+3qRJk/Ddd98BeFclfdKkSfj+++9lvp+IiKg2Y6KBdydPbdu2DXv37kVOTg4+/fRTTJs2DfPmzavQOnSimmLJkiV4+PAhwsLCxKevjRs3DjNmzMDSpUtlHufGjRu4ceOGeLZi7NixaN26NYKDg8udaBgYGMjct7RjntPS0pCTkwMTExOpayKRCCYmJkXWifmQsrIyXF1d0atXLzRs2BAPHz7EunXrMH78eCQkJHBZIREREZhoAABmzJiBGTNmKDoMIoU5ePAgTExMpI4nnjZtWpkSDTc3N4klUYWHK/z222/IzMxEvXr1yhybPI95zs7OBgCJGjDvU1NTE/cpib29Pfbv3y/R5u3tDScnJwQHB2P06NFo3bq1jFETERHVTkw0iAhJSUmws7OTOtrV0NAQOjo6Mo9T1IlLn3zyCYB3y7PKk2jI85hnDQ0NACh2T8Xr16/FfcqqTp068PX1RZ8+fXD48GEmGkRE9NFjokFEclPSUsPyHmf733//ydxXT0+vxBOtdHV1oa6uXuTyKEEQ8PjxY6njasuicDanLPtKiIiIaismGgqUnJyMxo0bY968eVLH4BJVJXNzc9y+fRuCIEjMajx79gzp6emKCwyAsbGxzH1L26OhpKSEDh06IC4uDrm5uRJLqK5evYqsrCx8/vnn5Y41MTERANCgQYNyj0FERFRbMNEgubly5QoWLlyIy5cvi/8KbWZmhm+++QaTJ0+Gtra2RH9zc3Pcv3+/yLHy8vJQty5/PatK3759ERAQgB07dog3gwMoU/G6yiLPPRoAMGTIEJw5cwZr166VKDK5fPlyKCkpSe1TSUhIgLKyMpo2bSpuS01NFS8JK5STk4NffvkFIpEIvXr1kjlmIiKi2orf5Ehu7t27h5cvX2Lw4MFo2LAhACAmJgYLFy7EX3/9hYsXL0odKWphYYEff/xRaiye9lW1Zs6cie3bt2P48OG4cOECLCwscPr0aZw7dw76+vpSezeqkjz3aADvivNt3rwZU6dORVJSkrgy+M6dO+Hj44OWLVtK9Le0tISZmRmSk5PFbT179kTDhg1hbW0tPnVq69atSEpKwuzZs2Uu+EdERFSbMdEguenfvz/69+8v0TZ27FhYWFhgxowZCA8Px4ABAySuN2jQgJWVqwF9fX2cOXMGU6dOxcaNG8WnRUVGRsLGxgbq6uqKDlFulJWVERERgblz52Lnzp0ICQlB48aNERgYKDHDUZIBAwZg3759CA4ORnp6OurVqwdra2sEBATA3d29kt8BERFRzVBjK4O/fv0afn5+aNGiBTQ0NKCjo4PWrVvD19dXot8ff/yBvn374tNPP4WqqioaNGiAwYMH4969e1JjFlY7joqKgp2dHTQ0NGBqaoolS5YAeHcG/8iRI2FoaAgNDQ306dMHjx8/lhjDz88PIpEI169fx/fff48GDRpAXV0d9vb2OHv2rEzvTRAErF69Gh06dICGhgbq1asn/tL3oa1bt8LGxgY6OjrQ1NREkyZN4OHhgdTUVFk/ykpnZmYGAMWu9c/Pz0dGRkYVRkRFady4Mfbs2YOMjAy8evUK+/fvh5aWFlJTU9GoUSOJvoIgYPPmzeKfzc3NIQhCkXuN/Pz8IAiCxLG3UVFREjMEVU1bWxsrV67E48ePkZubi4SEBEyePBlKStL/kygIglSsM2fORHR0NJ4/f468vDykpaXh+PHjTDKIiIjeU2NnNMaPH48tW7bA29sb7du3R25uLhITE3HixAmJfiEhIdDX18e4ceNgYGCAmzdvYv369YiMjMT169ehr68v0f/y5cs4ePAgvL294enpiV27dsHX1xeqqqrYunUrzM3N4efnhzt37mDlypXw8vLCsWPHpOLz9PSEqqoqZs2ahfT0dISEhOCLL77AyZMn0alTpxLfm6enJ3bs2IGvv/4a3333HXJzcxEWFgZnZ2fs2bMHrq6uAIDQ0FAMGzYMvXv3xvDhw6GsrIwHDx7g0KFDSElJkVpD/qG0tDS8fftWlo8b9evXL7b2wIeys7PFr8uXL4s/vy+++EKq74ULF6ChoYG8vDzo6OjA3d0dixYtgqGhoUzPIvnJycmRmrlYvHgxAMDZ2VkRIREREVFNJshZbGysAECIjY2V99ASdHV1hbFjx5baLzMzU6rtxIkTAgBh0aJFEu0ABJFIJJw/f17clpubKxgZGQkikUiYOHGiRH8fHx8BgJCQkCBumzdvngBA6Ny5s/DmzRtx+61btwRlZWXBzs5O3JaUlCQAEObNmydu27NnjwBAWLduncSz8vLyhA4dOgjm5uZCQUGBIAiC0L9/f8HS0rLUz6A4ZmZmAgCZXps2bZJ53MLPoPDVqlUrISIiQqpfr169hF9++UXYvXu3EBYWJowYMUIQiURC48aNhZSUlHK/r7Ko6O9rVf2+V4UuXboIw4YNE1auXCkEBgYKvXv3FgAI9vb2Qn5+vqLDoypWm363iYhIMWrsjIa2tjYuXLiAe/fuFVkkrJCmpiaAd8sfMjIy8ObNG7Ru3Rra2tq4ePGiVH9bW1uJGQcVFRV07NgRBw4ckFq/7eDggMDAQCQmJqJFixYS1yZPngxlZWXxz82bN0f//v2xa9cuPH/+HAYGBkXGu23bNujo6KBfv35SZ/H37dsXfn5+SExMRPPmzaGtrY1Hjx7h1KlT6Nq1a7GfQXHCwsKQk5MjU99WrVrJPK6Xlxe6dOmCtLQ0nD59GqdOnSpy2VR4eLjEz0OGDEGnTp0wZswY/Prrr1i2bJnMz6SK69u3L7Zt24a9e/ciJycHn376KaZNm4Z58+Zxcz4RERGVWY1NNIKCguDp6YmmTZuiRYsWcHBwQJ8+fdC3b1+JddaXLl3C3LlzcerUKWRnZ0uMUdSX36KSFl1dXQDv1rAX1V7UfggLCwuptsLTbO7du1dsohEfH4/09PQSz+F/+vQpmjdvjtmzZ+PUqVNwdHSEkZERunTpAmdnZwwePBj169cv9v5C9vb2pfYpjyZNmog/x2+++QZbtmzBwIEDcfTo0VJPEPL29sacOXNw+PBhJhpVbMaMGZgxY4aiwyAiIqJaosYmGv369UNycjIOHTqEkydP4tixY1i/fj0cHR1x9OhRKCsr4/79+3BycoKenh7mz5+PZs2aQUNDAyKRCIMGDUJBQYHUuCX95ba4a0I5Kx4XN5aRkRFCQ0OL7WNlZQUAaNasGW7evInjx4/j+PHjOHnyJMaMGQM/Pz9ER0eLN2EX5/nz5zLv0dDW1i73yUODBg3CyJEjsWnTJpmOKjUzMyu2vgYRERER1Qw1NtEAAD09PXh4eMDDwwOCIMDX1xf+/v4IDw+Hm5sb9u3bh6ysLPz9998S1YJzcnKQlpZWqbElJCRIFQ+7efMmAOmZkfc1a9YMhw8fFp96VRpVVVX06tVLXCDs0KFD6N27NwIDAxEUFFTivTY2NjJ/od+0aROGDx8uU98PvXnzBgUFBTJ95gUFBbh37564DgfVfsnJyWjcuDHmzZtX5KlVREREVDPVyONt3759K7XsSSQSoX379gD+bylT4QzEhzMO/v7+Rc5myFNQUBDy8vLEP9++fRt79+6Fra1tiScqeXl5IT8/v8gidsC7ZVOFPtzDAQDW1tYAil7O9aGwsDAcPXpUplePHj1KHe/92N63atUqCIIgsfflxYsXRfZdunQpXrx4gT59+pT6PKLqaPjw4RCJRMW+ijrB68iRI7C3t4empib09PTg7u6OxMREBURPREQkPzVyRiMjIwPGxsZwdXVF+/btYWhoiKSkJKxevRp6enro3bs3gHfVe9XV1eHl5YUJEyagfv36OHHiBC5dulTq0a8V9fr1a3Tt2hXffvstXr58iVWrVkFJSanUfQeFR9oGBQXh0qVL6NWrF/T19fHw4UNER0fjzp074hogLi4u0NHRgYODAz799FOkp6dj8+bNEIlEGDp0aKkxynuPxqBBgyASidClSxc0atQI6enpOHHiBA4fPgxLS0tMnjxZ3Hfr1q3YuHEjvvrqK5ibmyM3NxcnTpzA33//jZYtW2LmzJlyjY2oqowZM6bIJYJ79+7Fnj17pJLo/fv3w93dHVZWVvD390dWVhZWrFgBOzs7xMTESNQfISIiqklqZKKhoaGByZMn4/jx4zh27BgyMzPFicfs2bNhZGQEAGjatCnCw8Px448/4pdffhHXcjh58iQcHR0rNcatW7di9erV+PXXX/Hq1StYW1tjyZIlsLW1LfXejRs3olu3bli3bh0WLVqEN2/ewMjICNbW1li0aJG437hx47Br1y6sXbsWL168wCeffIL27dsjODgY3bp1q8y3V6Rhw4Zhx44dWL9+PVJSUqCiooJmzZrBz88PU6ZMkdigbmNjgxMnTuCPP/7A8+fPAbzbRD5nzhzMmDFDps3sRNWRra1tkf/Oly1bBhUVFXh4eIjb8vPzMWHCBJiamuLMmTPi3/t+/fqhdevWmD17NrZv315lsRMREcmVvM/L/djPXi+sIZGUlKToUEgGNb2ORk5OjjBv3jyhefPmgrq6uqCtrS1YWVkJM2fOlOi3Y8cOoU+fPoKpqamgoqIiGBoaCoMGDRLu3r0rNSYAYdiwYUJkZKRga2srqKurCyYmJsLixYsFQRCEFy9eCCNGjBAMDAwEdXV1oXfv3sKjR48kxij8d3Dt2jVh3LhxgqGhoaCmpibY2dkJZ86ckehbVD0ZQRCEgoICISQkRLC2thbU1dUFTU1NwcnJSThx4oRUzFu2bBE+//xzQVtbW9DQ0BAaN24sDB06tMrqsZQmLi5OACB88803Eu3Hjh0TAAg///yz1D39+vUT1NTUiqwFVBUU/btNREQ1X42c0SCid8aPH48tW7bA29sb7du3R25uLhITE3HixAmJfiEhIdDX18e4ceNgYGCAmzdvYv369YiMjMT169ehr68v0f/y5cs4ePAgvL294enpiV27dokrvG/duhXm5ubw8/PDnTt3sHLlSnh5eeHYsWNS8Xl6ekJVVRWzZs1Ceno6QkJCxLOK7+/ZKYqnpyd27NghXk6Ym5uLsLAwODs7Y8+ePXB1dQUAhIaGYtiwYejduzeGDx8OZWVlPHjwAIcOHUJKSkqpyyTT0tJkPn2tfv36UFVVlanv+zZu3AgAGDFihER7TEwMABQ5A2JnZ4f9+/fj+vXrpX5WRERE1RETDaIabO/evRg9ejRCQkJK7Hf48GFx8cpCrq6u6N69O9avXw9fX1+Ja9euXUN0dLT4C+7IkSNhZmaGKVOmYMKECVi5cqVE/8DAQNy6dUuqcKWamhpOnTolLl45ZMgQWFlZYcqUKTh79myJ7yssLAzr1q3D6NGjxe0//PADOnfujB9++AF9+/aFSCTC3r17YWlpib///ltijAULFpT4mRRq3759pZ6+lpubi+3bt8PU1BQuLi4S1x49egQAMDExkbrP1NRUog8REVFNw0SDqAbT1tbGhQsXcO/evSKLTRYqTDIEQUBGRgbevHmD1q1bQ1tbGxcvXpTqb2trK/FXdBUVFXTs2BEHDhzApEmTJPo6ODggMDAQiYmJUonG5MmTxUkGADRv3hz9+/fHrl278Pz582ILV27btg06Ojro16+f1Olqffv2hZ+fHxITE9G8eXNoa2vj0aNHOHXqFLp27VrsZ1CcsLAw5OTkyNS3VatWZR5///79ePHiBb7//nuJYqIAxEVEi5olUVNTk+hDRERU0zDRkDM/Pz/WAqAqExQUBE9PTzRt2hQtWrSAg4MD+vTpg759+0p8qb106RLmzp2LU6dOSX1x/fCoaABFJi26uroApOvAFLYXdaSyhYWFVFvLli0BAPfu3Ss20YiPj0d6ejoaNGhQ5HXg3XHKzZs3x+zZs3Hq1Ck4OjrCyMgIXbp0gbOzMwYPHizToQLyPn3tQxs3boRIJMJ3330nda2wVk5ubq7UtdevX0v0ISIiqmmYaBDVYP369UNycjIOHTqEkydP4tixY1i/fj0cHR1x9OhRKCsr4/79+3BycoKenh7mz5+PZs2aQUNDAyKRCIMGDSqypkxhDZqiFHdN+KBeTUUIggAjIyOEhoYW28fKygrAuyKXN2/exPHjx3H8+HGcPHkSY8aMgZ+fH6Kjo2FmZlbis54/fy7zHg1tbW2oq6vL/D4ePnyIo0ePwsnJqcjkrXDJ1KNHj2BpaSl17/t9iIiIahomGkQ1nJ6eHjw8PODh4QFBEODr6wt/f3+Eh4fDzc0N+/btQ1ZWFv7++284OTmJ78vJyZGpWntFJCQkoG3bthJtN2/eBCA9M/K+Zs2a4fDhw7Czs5PpL/qqqqro1asXevXqBQA4dOgQevfujcDAQAQFBZV4r42NTaXt0diyZQsKCgqkNoG//2wAiI6Olqq9ER0dDTU1NXFCRUREVNPUyMrgxXFycqp1xa2ioqIkqgovXrxY0SFVa1ZWVuLPqrb9Lnzo7du3UsueRCIR2rdvD+D/ljIVzkB8OOPg7+9f5GyGPAUFBSEvL0/88+3bt7F3717Y2trC0NCw2Pu8vLyQn5+PH3/8scjr71eh/3APBwBYW1sDKHo514fCwsJw9OhRmV49evQodbz3bd68Gdra2hgwYECR1x0dHWFiYoL169cjMzNT3H7r1i2Eh4ejX79+Upv4iYiIagrOaNQQ3t7ecHBwEH+JLDRx4kScP38eycnJePXqFYyNjdGxY0fMmjVLqq+fnx/mz59f5Pi///47Ro0aVaEYjxw5gl9++QX/+9//oKqqCicnJyxZsgTNmjWr0LgFBQUIDg7GmjVrkJSUhE8++QRff/01fvnlF2hpaUn0Xbx4MdLT07Fw4UKZN/jWVBkZGeJCle3bt4ehoSGSkpKwevVq6OnpoXfv3gCAnj17Ql1dHV5eXpgwYQLq16+PEydO4NKlS6Ue/VpRr1+/RteuXfHtt9/i5cuXWLVqFZSUlLBs2bIS7ys80jYoKAiXLl1Cr169oK+vj4cPHyI6Ohp37tzBvXv3AAAuLi7Q0dGBg4MDPv30U6Snp2Pz5s0QiUQYOnRoqTFW1h6NU6dO4c6dOxg7dmyxy63q1q2L4OBgDBgwAPb29vD29kZ2djaCgoKgpaWFX3/9tVJiIyIiqgpMNGoIW1tbiYrChc6fP49OnTphyJAh0NbWxoMHD7Bp0yZ06tQJEREREktlCgUGBkrVTZClYnlJ9u/fD3d3d1hZWcHf3x9ZWVlYsWIF7OzsEBMTU6HZhenTp2P58uVwdXXF1KlTcfv2baxYsQIXL17E6dOnUbfu//0a9+nTBwCwfv16JCcnV+g9VXcaGhqYPHkyjh8/jmPHjiEzM1OceMyePRtGRkYAgKZNmyI8PBw//vgjfvnlF6iqqoprWTg6OlZqjFu3bsXq1avx66+/4tWrV7C2tsaSJUtk+n3buHEjunXrhnXr1mHRokV48+YNjIyMYG1tjUWLFon7jRs3Drt27cLatWvx4sULfPLJJ2jfvj2Cg4PRrVu3ynx7Jdq0aRMA6doZH+rfvz/Cw8Pxyy+/YPr06eIkffHixSWeJEZERFTtybsCoCKryTo6OgpmZmZV/tzKFBkZKQAQNm3aJPM9jx8/FurWrSv06dNHor2yqpbn5eUJpqamQqNGjYRXr16J2xMSEgRlZWVh8ODB5R77xo0bgpKSktC/f3+J9g0bNggAhLVr1xZ5n6y/CzW9Mnh1VVm/a1R1+LtNREQVVeV7NA4fPgyRSFRsgbGWLVvis88+E/988eJFDB8+XHxSjra2Nrp37y5V+bg4IpGoyM2bhUsroqKiJNpfvnyJmTNn4rPPPoOqqioMDAwwePBg8TKNmsDQ0BDq6upFHlta6NWrVzKftFOakydP4uHDhxg1apTEcaItWrRAr169sHfvXmRlZZVr7B07dqCgoAA+Pj4S7V5eXvjkk0+wbdu2CsVORERERJWjyhMNFxeXYo+tjI2NRXx8PDw9PcVte/fuxe3btzF48GCsWLEC06ZNw927d+Hs7IyTJ0/KNbaXL1/Czs4OISEh6N27N4KDgzFhwgScOHECnTp1kulkmuzsbKSkpMj0evnypVziLigoQEpKCp4+fYpLly7Bw8MDGRkZ4hN4PtSmTRtoa2tDVVUVDg4OOH78eIWeHxMTA6Do5Vd2dnZ4/fo1rl+/Xu6xlZSU0LFjR4n2unXromPHjoiNjZXrsapEREREJB9VvkejTp06GDJkCJYvX47ExESJjcKhoaEQiUQSicacOXMk1mMDwNixY9GyZUssWrRIrmvMf/rpJyQlJeH8+fNo06aNuH348OFo3bo15s2bh82bN5c4hr+/f7Ebrj/k6OgoNaNSHg8ePJA4KlRbWxuzZ8/GjBkzJPrp6OjA29sbdnZ20NXVxc2bNxEYGAgXFxfs3LkTX3/9dbme/+jRIwBFn/dvamoq0ac8Y+vr6xdZOdnU1BTZ2dlIS0uDnp5eucYnIiIiosqhkM3gXl5eWL58OUJDQ/Hzzz8DAPLz87Fjxw7Y29tLbIB8/2jHrKwsvH79GiKRCB07dkR0dLTcYhIEAWFhYXByckLDhg0ljszU1NRE586dERERIdN769Kli0zPLKyoXFFGRkY4evQo3rx5g1u3bmHLli3IyMhAXl6eRHG1yZMnS9zn6uqKYcOGwcrKChMnTkS/fv2grKxc5ucXVpouKhlQU1OT6FOesYsa98OxmWhUL35+fvDz81N0GERERKRACkk02rZtizZt2mDbtm2YP38+RCIRIiIi8OzZMyxYsECi79OnTzF79mwcOHBA6rx8kUgkt5ieP3+O1NRUHD58GAYGBkX2UVIqfaVZkyZNqvykGDU1NXGxr169esHDwwNWVlZ48eJFqXsYjI2NMWLECAQEBODy5ctSS5RkUVhQLTc3V+ra69evJfqUZ+xnz54Vea2iYxMRERFR5VHY8bZeXl6YNm0azpw5AwcHB4SGhkJNTQ0DBw4U9ykoKICLiwtu3boFHx8fWFtbQ1tbG0pKSli0aJHMG8KLkp+fL/Fz4Tr/Hj16YNq0aeUeNzMzU6LwVklUVFQq5S/xBgYGcHFxwfbt27F+/XrxX/6LU3j0bFGFz2RRuGTq0aNHsLS0lLj28OFDiT7lGfvmzZvIzc2Vmtl4+PAhNDQ05DYzRERERETyo7DK4EOHDkWdOnWwdetWZGRkYP/+/XB1dYW2tra4z7Vr13D16lX4+vpi0aJF+Oabb+Di4oIvv/xS5qU4enp6ePHihVT7h6dIGRgYQEdHBxkZGfjyyy+LfZUmICAAxsbGMr3c3d1leg/lkZOTg4KCArx69arUvomJiQCABg0alOtZNjY2AFDkUrbo6GioqanBysqq3GMXFBTg4sWLEu1v375FTEwMrK2t5TqzVZM4OTnVuurnUVFR4sruIpEIixcvVnRItcaECRMkPtvaXmeGiIgUT2GJhpGREZydnfHnn39i27ZtyMnJgZeXl0Sfwv0FH54qFBUVhQsXLsj0nObNmyM6OloiMUlLSxMX0yqkpKSEoUOH4ty5c9i3b1+RYxW3hOd9Xl5eOHr0qEyv0qojlyY1NVVqZgZ4lzhERESgcePGMDQ0BPBuBqeopOPOnTvYuHEjTE1N0a5du3LF4ejoCBMTE6xfv15iNufWrVsIDw9Hv379JPbalMWgQYMgEokQFBQk0b5161akpKTIVPmZah5vb2+Ehoaib9++UteOHDkCe3t7aGpqQk9PD+7u7uJkubwePHgAT09PtGzZEjo6OtDQ0ICFhQV8fHzw5MkTqf5OTk4SX9rff925c6daxjFs2DCEhoaif//+5Y6PiIioLBRaGdzLywtHjhyBr68vGjRogB49ekhct7CwgKWlJfz9/ZGTk4NmzZrh2rVr2Lx5M6ysrHDt2rVSnzFhwgR4eHige/fu8PT0RHp6On7//XeYmZnhv//+k+i7cOFCnD17Fu7u7vj222/RuXNnKCsr4/79+zh06BA6dOhQ6qlTVblH4+DBg/jpp5/g7u6Opk2bom7durh58ya2bNmC169fIzg4WNw3MzMTTZo0gZubGywsLKCjo4P4+HisX78eubm5+OOPPyQ2jgPv9sCYmZmV+pfPunXrIjg4GAMGDIC9vT28vb2RnZ2NoKAgaGlp4ddff5XoHxUVhW7dumHYsGGlfp6tWrXCDz/8gKCgILi5uaFPnz5ITExEUFAQOnbsiJEjR5bpM6OawdbWFh4eHlLtlVWB/unTp3jw4AFcXV3x6aefQllZGdevX8fvv/+OXbt24X//+5/U3i19fX0EBgZKjVVYkb26xWFjYwMbGxvcuXMHe/fuLXeMREREMpN3BcCyVJPNzs4WtLS0BADC5MmTi+xz7949oX///oKenp6gqakpODg4CFFRUcKwYcOED8Mvrhr0kiVLhEaNGgkqKiqChYWFsGHDBmHTpk0CACEyMlKib1ZWlvDzzz8LVlZWgpqamlCvXj3BwsJCGDVqlHD+/HmZPwd5Kaky+PXr1wUvLy+hWbNmgqampqCsrCw0atRIGDp0qHD58mWJvq9fvxZGjhwpWFlZCdra2kLdunUFY2NjYeDAgUJcXJzU2K9evRIACHZ2djLHeujQIcHW1lZQV1cXdHR0BDc3NyEhIUGq34EDBwQAwuzZs2Ua9+3bt8Ly5cuFFi1aCCoqKoKxsbEwceJEIT09vdh7PobK4LK+x5qkpN/3yqxAX5xdu3YJAISAgACJ9qr+7OUZh6xV21kZnIiIKkqhiQaVrvCLV3BwsPD8+XMhOzu7Sp67f/9+AYBw4sQJuY/t4+Mj6OrqCqmpqXIfOy0tTXj+/LlgZ2dXLRKNQ4cOCQCEVatWFXnd0tJSaNq0qfjnCxcuCMOGDRM+++wzQV1dXdDS0hK6desmHD9+XOreor5kAhCGDRsm1be4xDo9PV2YMWOG0LRpU0FFRUXQ19cXBg0aJNy9e7fkN15JSko0jh07JgAQfv75Z6lr/fr1E9TU1ITMzEy5xnPhwgUBgDBnzhyJ9sLP/u3bt8LLly+FgoICuT63MuNgokFERFVFYXs0qGwmTpwIAwMDrFixokqe988//6BPnz7o1q1bpYz9448/VsqJW126dIGBgQHOnTsn97HLw8XFBUZGRggNDZW6Fhsbi/j4eIkClXv37sXt27cxePBgrFixAtOmTcPdu3fh7OyMkydPyjW2ly9fws7ODiEhIejduzeCg4MxYcIEnDhxAp06dcL9+/dLHSM7O7vIqvdFvV6+fFmheCuzAn2h3NxcpKSk4NGjRzh69CjGjRsH4N2x0R969OgR6tWrB21tbdSvXx/ffPMN7t69W6HnV7c4iIiIKkKhezSodG3btsXRo0fFP79fSb0yrVq1qtLGvnHjRqWN/f6GdHV19Up7jqzq1KmDIUOGYPny5UhMTJT47xcaGgqRSCSRaMyZMweLFi2SGGPs2LFo2bIlFi1aBEdHR7nF9tNPPyEpKQnnz59HmzZtxO3Dhw9H69atMW/evFL30Pj7+2P+/PkyPc/R0RFRUVHljrcyK9AX2rFjB7777jvxz+bm5ggLC5NKbho3bgx7e3u0adMGderUwdmzZxESEoITJ07gwoUL+Oyzz2pFHERERBXBRKOa09XVlelYXXqnc+fOig5BipeXF5YvX47Q0FD8/PPPAN6dArZjxw7Y29tLHB7w/ulcWVlZeP36NUQiETp27Fjk8cHlJQgCwsLC4OTkhIYNG0rUUNHU1ETnzp0REREh03vr0qWLTM+saL2TyqxAX6hHjx44evQoMjIyEBMTgwMHDiA9PV2q34en1n399df46quv8NVXX2HmzJn466+/akUcREREFcFEg6iStW3bFm3atMG2bdswf/58iEQiRERE4NmzZ1iwYIFE36dPn2L27Nk4cOCAVAFFedYLef78OVJTU3H48GGpU4wKKSmVvrKyKk9Zq8wK9IUKa9wAQP/+/dGjRw84OTlBRUUFo0aNKvHeHj164PPPP8eRI0cqFEN1ioOIiKgimGgQVQEvLy9MmzYNZ86cgYODA0JDQ6GmpoaBAweK+xQUFMDFxQW3bt2Cj48PrK2toa2tDSUlJSxatAgnTpwo9/M/rLci/P/aND169MC0adPKPW5mZqZE7ZSSqKioVGhfTmVWoC+Oo6MjTE1NsWnTplK/4APvljhdunQJ2dnZFU56qmMcREREZcFEg6gKDB06FDNnzsTWrVvRrl077N+/H66urtDW1hb3uXbtGq5evYp58+bBz89P4v65c+fK9Bw9PT28ePFCqv3evXsSPxsYGEBHRwcZGRkVWpoXEBBQZXs03q9A/2HMFa1AX5KcnBykpaXJ1DcxMRH16tWrlC/31SUOIiIiWTHRIKoCRkZGcHZ2xp9//glra2vk5OTAy8tLok9hwcTC2YZCUVFRuHDhgkzPad68OaKjoyX+kp2Wlia1ll9JSQlDhw7FqlWrsG/fPri5uUmN9ezZM3Fl+eJU5R6N9yvQ+/j4oF69egD+rwK9u7t7uSvQP336FA0aNJBq/+OPP5CamipRofzly5eoV6+eVIHLnTt34sqVKxg0aFC5YqhOcRAREckDEw2iKuLl5YUjR47A19cXDRo0QI8ePSSuW1hYwNLSEv7+/sjJyUGzZs1w7do1bN68GVZWVrh27Vqpz5gwYQI8PDzQvXt3eHp6Ij09Hb///jvMzMzw33//SfRduHAhzp49C3d3d3z77bfo3LkzlJWVcf/+fRw6dAgdOnQo9dSpqtyjUZkV6GfOnIkbN27A2dkZ5ubmyMrKwvnz57F7924YGxtLzDBFRkZi6tSp6Nu3L5o0aQIlJSVER0djx44dMDY2xuLFi6tlHERERFWNiQZRFXFzc4OWlhZevXqFESNGoG5dyX9+devWRXh4OKZOnYoNGzYgNzcX1tbWOHjwIDZt2iRTojF06FA8evQIq1atwpQpU9CkSRP89NNPUFJSkpoV0dbWxtmzZ7Fs2TLs2rUL+/btQ926dWFqaoouXbrItBegqvXv3x/h4eH45ZdfMH36dKiqqsLJyQmLFy+WSngyMjIAyLZvY8CAAUhLS0NoaCieP38OJSUlmJubw8fHBzNmzJCY2WnRogU6dOiAgwcP4r///kN+fj4aNWqEiRMnYvbs2VIzEtUlDiIioqomEj5cp1FBcXFx6NChA7Zt2ya1YZOouomPj4eHhwdiY2NhbW1d5vsLf9/Lez9JKvzrf3BwMAYNGgRNTc1y10OZMmUKNm/ejDt37lRKcciaFkdWVhZycnLg7++PpUuXIikpCebm5sX25+82ERFVlNxnNPT19aGhoQEPDw95D01UKTQ0NKCvr6/oMOg9EydOxMSJE7Fo0SL4+vqWa4zKrEBfE+OYOXNmpRbiJCIi+pDcE41GjRohPj5eqgYAUXWlr6+PRo0aKToMwruaI0ePHhX//H4l9bKqzAr0ZVFd4pg4caLEpn8jIyPFBUNERB+FStmj0ahRI35xI6Iy09XVrdBxu1S8Fi1aoEWLFooOg4iIPiKll/4lIiIiIiIqIyYaREREREQkd0w0iIiIiIhI7phoEBERERGR3DHRICIiIiIiuWOiQUREREREclcpx9sSfWzi4+MVHQKRXPF3moiIKoqJBlEF6OvrQ0NDAx4eHooOhUjuNDQ0oK+vr+gwiIiohhIJgiAoOgiimuzBgwdISUlRdBhVQhAETJo0CXfu3MHu3buhqamp6JAqnSAImDp1Km7cuIHdu3ejfv36ig6pyujr67P4KhERlRsTDSKS2c6dOzFo0CDs27cP/fr1U3Q4Vebff/9Fy5Yt4enpiZCQEEWHQ0REVCMw0SAimaSlpcHS0hJ2dnbYs2ePosOpcitXrsTkyZNx9uxZ2NraKjocIiKiao+JBhHJZMyYMdixYwfi4+NhYmKi6HCq3Nu3b2Fra4ucnBzExcVBWVlZ0SERERFVazzelohKdebMGaxbtw6//vrrR5lkAECdOnWwbt06xMfHIyAgQNHhEBERVXuc0SCiEr158wbt27dH/fr1cfbsWdSpU0fRISnU9OnT8dtvv+H69eto2rSposMhIiKqtphoEFGJFixYAD8/P8TFxaFNmzaKDkfhsrKy0KpVKzRr1gwREREQiUSKDomIiKha4tIpIirW7du3sWDBAkydOpVJxv+nqamJ1atX49ixYwgLC1N0OERERNUWZzSIqEiCIOCLL75AcnIyrl+/Dg0NDUWHVK0MGjQIx48fR0JCAj755BNFh0NERFTtcEaDiIq0detWREZGYs2aNUwyihAUFIT8/HxMnz5d0aEQERFVS5zRICIpKSkpsLCwQI8ePbg8qATr1q3DmDFjEBkZCScnJ0WHQ0REVK0w0SAiKcOGDcPBgweRkJAAQ0NDRYdTbRUUFKBr1654/vw5rly5AjU1NUWHREREVG1w6RQRSTh+/Di2bt2KpUuXMskohZKSEtatW4ekpCQsWrRI0eEQERFVK5zRICKxnJwctGnTBg0bNkRUVBSPbpXR3LlzsWTJEly5cgWWlpaKDoeIiKhaYKJBRGJz5szB0qVLceXKFVhYWCg6nBrj9evXaNOmDYyMjBAVFQUlJU4WExER8f8bEhEA4MaNG1iyZAlmzZrFJKOM1NTUsGbNGpw+fRobN25UdDhERETVAmc0iAgFBQVwcHBAamoqrly5AlVVVUWHVCMNHz4c+/fvR0JCAho0aKDocIiIiBSKMxpEhN9//x3nzp3D2rVrmWRUQEBAAOrUqQMfHx9Fh0JERKRwnNEg+sg9efIElpaWGDBgADZs2KDocGq8rVu3YtiwYTh8+DC++uorRYdDRESkMEw0iD5y3377LSIjI5GQkAA9PT1Fh1PjCYIAZ2dn3Lt3D9evX2dVdSIi+mhx6RTRR+zQoUPYtWsXAgMDmWTIiUgkwurVq/H48WPMnz9f0eEQEREpDGc0iD5SmZmZsLKyQosWLXDkyBHWzJCzhQsXYt68ebh06RLatWun6HCIiIiqHBMNoo/U1KlTERISguvXr6Np06aKDqfWefPmDaytraGhoYHo6GjUqVNH0SERERFVKS6dIvoIxcXFISgoCPPmzWOSUUlUVFSwdu1axMTEICQkRNHhEBERVTnOaBB9ZPLz89G5c2e8efMGsbGxUFZWVnRItdrYsWMRFhaG+Ph4mJqaKjocIiKiKsMZDaKPzG+//Ya4uDisW7eOSUYVWLx4MerVq4eJEycqOhQiIqIqxUSD6CPy4MEDzJkzB+PGjUPnzp0VHc5HQUdHBytWrMC+ffuwb98+RYdDRERUZbh0iugjIQgC+vXrh0uXLiE+Ph7a2tqKDumjIQgC+vTpgytXruDmzZvQ0tJSdEhERESVjjMaRB+JPXv24ODBgwgODmaSUcVEIhFWrVqFtLQ0zJkzR9HhEBERVQnOaBB9BF6+fAlLS0vY2Nhg3759rJmhIMuXL8e0adNw/vx5dOzYUdHhEBERVSomGkQfgfHjx2Pr1q24efMmPv30U0WH89HKz89Hp06d8PbtW8TExHAzPhER1WpcOkVUy0VHR2P16tVYsGABkwwFq1u3LtatW4dr164hKChI0eEQERFVKs5oENVieXl5sLa2hpqaGs6fP8/q1NWEj48P1q5dixs3bqBx48aKDoeIiKhScEaDqBZbtmwZ4uPjsW7dOiYZ1cgvv/wCfX19fP/99+DfeoiIqLZiokFUS929exfz58/H5MmT0b59e0WHQ++pV68eVq1ahSNHjmDnzp2KDoeIiKhScOkUUS0kCAJ69OiB27dv48aNG9DU1FR0SFSEr7/+GqdPn0ZCQgJ0dXUVHQ4REZFccUaDqBbavn07jh49ipCQECYZ1djKlSvx+vVrzJw5U9GhEBERyR1nNIhqmRcvXsDCwgLdunXjspwaICQkBOPHj8epU6fg4OCg6HCIiIjkhokGUS0zcuRI/PXXX0hISICRkZGiw6FSFBQUwN7eHi9fvsTly5ehqqqq6JCIiIjkgkuniGqRkydPYuPGjViyZAmTjBpCSUkJ69atQ2JiIvz9/RUdDhERkdxwRoOolsjNzUXbtm2hr6+PU6dOQUmJf0eoSWbNmoXAwEBcvXoVzZs3V3Q4REREFcZEg6iW8PPzw6+//orLly+jVatWig6HyignJwdWVlYwMzPD8ePHIRKJFB0SERFRhfBPnkS1QEJCAhYtWoQZM2Ywyaih1NXVsWbNGkRGRmLLli2KDoeIiKjCOKNBVMMVFBSgW7duePz4Ma5evQp1dXVFh0QV4OHhgcOHDyMhIQEGBgaKDoeIiKjcOKNBVMNt2rQJp06dwpo1a5hk1ALLly8HAEydOlXBkRAREVUMZzSIarBnz57BwsICffv25XKbWmTjxo0YOXIkjh49ii+//BLAu5mrzMxMaGlpKTg6IiIi2TDRIKrBhg4din/++QcJCQnQ19dXdDgkJ4IgoFu3bnj48CGuXbsGdXV1hIeHw9PTE0+fPoWysrKiQyQiIioVl04R1VD//PMPtm/fjmXLljHJqGVEIhHWrl2Lf//9FwsWLBC3p6Wl4dmzZwqMjIiISHac0SCqgbKzs2FlZYXGjRvj2LFjPAq1lpo/fz4WLFiAy5cv482bN+jQoQNiYmLw+eefKzo0IiKiUnFGg6gGmj9/Ph4/fow1a9YwyahlMjMzER0dDUEQ4Ovri88++wxjxoxBgwYNAABPnjxRcIRERESyYaJBVMNcuXIFy5Ytw9y5c9GsWTNFh0NydvbsWdjZ2aFHjx64f/8+1q5di3PnzmH//v1QUlLC48ePFR0iERGRTLh0iqgGefv2Lezs7JCVlYW4uDioqKgoOiSqBOHh4Zg4cSIePXqEGTNm4N9//8W+ffugqqqKcePGwc/PT9EhEhERlaquogMgItmtXr0aFy9exJkzZ5hk1GK9e/dG9+7dsWjRIixZsgRGRkYAgDdv3nDpFBER1Ric0SCqIR49egRLS0sMGTIEa9asUXQ4VEUSExMxYcIEREREAAA6duyICxcuKDgqIiKi0jHRIKoh3N3dER0djfj4eOjo6Cg6HKpCgiBg9+7d8PLygp6eHh49eqTokIiIiErFRIOoBti/fz/c3Nywc+dODBw4UNHhkIJkZWUhJyeHdVOIiKhGYKJBVM08evQIP/74IzZs2IA6deogIyMDLVu2RJs2bfD333/zOFsiIiKqEXi8LVE1ExkZiS1btiA3NxcAMGfOHLx48QKrVq1ikkFEREQ1Bk+dIqpmnjx5Ai0tLWhoaCAmJgbBwcFYunQpzM3NFR1ajfPgwQOkpKQoOgyiUunr66NRo0aKDoOISK6YaBBVM0+ePIGxsTHy8/Ph7e2Ndu3a4YcfflB0WDXOgwcPYGlpiezsbEWHQlQqDQ0NxMfHM9kgolqFiQZRNfP48WMYGxsjKCgIV69exYULF5CXl4dffvkFu3fvRkxMDDQ0NBQdZrWXkpKC7OxsbNu2DZaWlooOh6hY8fHx8PDwQEpKChMNIqpVmGgQVTNPnjyBjo4O5s2bh4kTJ+Lp06cYOHCgeJM4k4yysbS0hLW1taLDICIi+ugw0SCqZp48eYIHDx5AS0sLd+7cwYoVK+Ds7IwjR46gefPmig6PiIiISCZMNIiqmX///RevX7+GiooKLl++jF27duHrr7/miVNERERUo/B4W6JqJCcnB69fv4ZIJMLEiRORkJCAb775hkkGERER1Tic0SCqRtTV1TFw4EB8//33cHR0VHQ4REREROXGGQ2iambnzp1MMj4C5ubmEIlEEIlEsLCwKPc4ly5dEo8jEong5+cnvyCJiIgqgIkGEZGCWFhYIDQ0FEuXLpVov3XrFqZPn47u3btDV1e3xASiSZMmCA0NRWBgYBVEXDn+/PNPjBgxAm3btoWysjJEIhGSk5Nlvj8qKkoi2Srq9ejRI3H/zZs3F9tvzpw5lfAOiYg+Tlw6VUuxIjLVJB9rVeQGDRrAw8NDqj06OhrLli1DkyZN0KFDBxw/frzYMfT09ODh4YHk5GT4+PhUZriVZtWqVbhw4QLatm2Lzz77DAkJCWW639LSEqGhoVLtKSkp8PHxQbt27WBiYiJ1ffbs2VI1Vlq3bl224ImIqFhMNGohVkSmmoZVkSW5urrixYsX0NHRwf/+9z+0b99eIXHk5eXh1q1bsLKyqtTnbN26FQ0bNkTdunUxefLkMicaxSVsQUFBAIARI0YUeZ+zszOcnJzKGi4REcmIiUYtxIrIVJPUlqrI+fn56Nq1K65du4a4uDg0a9ZMfC0wMBBTpkzBsmXLMGXKlFLH0tPTq8xQS3X+/HmEhoZi586d6NKlC/bt21epz6us/+6bNm2Cqqoqhg4dWmyfjIwMqKmpQVlZuVJiICL6mDHRqMVYEZmo6tStWxfbt29Hu3btMHjwYJw7dw4qKiqIi4uDr68vevbsWa2XNt29exfbtm3Dtm3bcOfOHdSvXx/u7u4YM2aMRL/s7GyZZ0uVlZWhra1dGeGWKjY2FlevXsW3335bbOLm6uqKjIwMiEQitGvXDr6+vhg4cGAVR0pEVHsx0SAikhNzc3OsW7cO3377LWbNmoX58+dj0KBB0NPTE29Ark5SU1Oxa9cuhIaGIjo6GsrKyujZsycWLlyIvn37Ql1dXeoef39/zJ8/X6bxHR0dERUVJeeoZbNp0yYARS+b0tDQwJAhQ/DFF1/AwMAA9+7dw8qVK/Htt9/i4cOHMs06ERFR6ZhoEBHJ0cCBAxEREYHAwEBER0fjzp07+Oeff2BoaKjo0MRiYmKwcOFCHDp0CPn5+bC3t8fq1asxcODAUpdteXl5oUuXLjI9R1dXVx7hlllubi62b9+ORo0a4csvv5S6PnDgQKmZi1GjRqFdu3b48ccf4enpCQMDg6oKl4io1mKiQUQkZytXrsTRo0cRHR0NHx8fODs7KzokCeHh4di/fz/U1NSwfPlyjBkzRuY9Ck2aNEGTJk0qOcKK2bt3L9LS0jBx4kQoKcl2irumpiYmT56MCRMmIDIykkuoiIjkgIkGEZGcxcXFies2XL16FYIgVKtlU6NHj0adOnWwbds2TJw4EfPmzcM333yDoUOHokuXLiXGmpmZiczMTJmeo6KiopCN7Zs2bYJIJMJ3331XpvvMzc0BgEeDExHJCQv2UY0jEokwfPjwct/v5OQk/kJBJG/p6ekYOnQoTE1N8dNPP+H48ePw9/dXdFgSTExMMHfuXNy6dQvnz5/H4MGD8ddff6Fr164wNzeHr68vrl27VuS9AQEBMDY2lunl7u5exe8M+Pfff3Hs2DF07969zP/OExMTAbw7LpeIiCqOMxpEVezVq1eYO3cudu/ejdTUVDRu3Bjjxo3DxIkTZf6rtzzGoMoxevRoPHr0CCdPnoSdnR0uXryIuXPnonv37rCxsVF0eFI6deqETp06ITAwEIcPH0ZoaCiCgoKwZMkSWFlZYebMmRI1KhS9RyMlJQUpKSkwNjYu8kSrLVu2oKCgACNHjix2jNTUVHzyySdSbcuWLYOmpia6desm97iJiD5GTDSoxsnJyUGdOnXKfX9ERAQEQZBjRLLLy8uDi4sLYmNjMX78eFhZWeHo0aP44Ycf8ODBAwQEBFTJGFQ51q1bh927d2P+/Pmwt7cH8O6Lb5s2bTB48GBcvnwZ9evXL3Wcly9fIjg4GADw33//AQBOnTqFBQsWAHh3LGubNm3kGruysjJcXV3h6uqK9PR0/PnnnwgNDcWePXskEo3K2KNx6tQpnDp1CgBw8eJFAMBvv/0GHR0dAMCcOXPEfX/77TfMnz8fmzZtkprZFAQBmzdvhq6uLvr371/s89q0aYOuXbuidevWMDQ0xL1797B+/XqkpKRgzZo1Cq9jQkRUawhU68TGxgoAhNjYWEWHQh9YvXq1AEBYsWKFRLunp6egpKQk3Lx5s0rGqE4q6/e1qv8d3Lx5U9DQ0BC6du0qvH37VuLaP//8I4hEIsHDw0PcZmZmJjg6OhY5VlJSkgCg2NemTZuKvWfevHlyfFeCkJGRIdfxijJv3rwS329RfYv6DKKiogQAwvfff1/i86ZMmSJYW1sLenp6Qt26dQV9fX2hT58+wokTJ+T5tmTG/80motqKezSoWkhOTsaAAQOgpaUFLS0t9OvXD0lJSTA3N4eTk5NE3w/3aCQnJ0MkEsHPzw9///03bGxsoKamBmNjY0yfPh35+fkS9ytyj0ZYWBg0NDTg7e0t0T5lyhQUFBRgx44dVTIGyZ+lpSWysrJw8uRJqZOOXFxcUFBQgNDQUIn2vLw8pKSkID09XaLd3NwcgiAU+3r/9z8/Px8pKSlIS0urlPdVr169Shn3fX5+fiW+36L6FrVPy9HREYIgYNWqVSU+b9myZYiNjUVqairy8vLw/PlzHDx4kEumiIjkjEunSOFSU1Ph4OCAp0+fYuzYsbC0tMTp06fRrVs3ZGVlyTzOoUOHEBISgrFjx2LEiBHYv38/AgICoKuri9mzZ5crtrKcPqOtrV3iEaEFBQWIjY2FtbU11NTUJK61bdsWGhoaiImJKfEZ8hiDqo9z587BwMAALVq0QEJCQrnG+N///lct934QEREx0SCFW7JkCR4+fIiwsDAMGTIEADBu3DjMmDEDS5culXmcGzdu4MaNG+LZirFjx6J169YIDg4ud6JRlqJdkZGRUrMv70tLS0NOTg5MTEykrolEIpiYmIiPRK3MMah6CAsLQ05ODoB3NRzKq0WLFjh69Kj45+pe44KIiD4eTDRI4Q4ePAgTExMMHjxYon3atGllSjTc3NwklkSJRCJ069YNv/32GzIzM8u1BOT9L3Cladu2bYnXs7OzAQCqqqpFXldTUxP3qcwxqHoo3CxeUfXr1y+y+jUREZGiMdEghUtKSoKdnZ3UsayGhobiU2dkUdRfcguPsExNTS1XoiHPL3AaGhoAgNzc3CKvv379WtynMscgIiIiqgpMNKjWKOnI2w83lMqq8GhRWejp6UFFRaXY67q6ulBXVy9yaZMgCHj8+DEcHBxKfIY8xiAiIiKqCkw0SOHMzc1x+/ZtCIIgMavx7NkzqdN4qpqxsbHMfUvbo6GkpIQOHTogLi4Oubm5Esufrl69iqysLHz++eclPkMeYxARERFVBSYapHB9+/ZFQEAAduzYId4MDqBaFJ6T5x4NABgyZAjOnDmDtWvXYtKkSeL25cuXQ0lJSWqfSkJCApSVldG0adNyj0E1h0gkwrBhw7B58+Zy3e/k5ITk5GQkJyfLNS4iIqLyYKJBCjdz5kxs374dw4cPx4ULF2BhYYHTp0/j3Llz0NfXl9q7UZXkvcl21KhR2Lx5M6ZOnYqkpCRxVe+dO3fCx8cHLVu2lOhvaWkJMzMziS+OZR2DqKq8evUKc+fOxe7du5GamorGjRtj3LhxmDhxokz/jg8cOIC9e/ciOjoa//77L7S1tdGyZUtMmzYNX331lVT/RYsWIS4uDnFxcbh3757Uv5X3CYKAkJAQrFu3Drdv34aamhq6du2KX3/9Fa1ataroWycioiIw0SCF09fXx5kzZzB16lRs3LhRfFpUZGQkbGxsoK6urugQ5UZZWRkRERGYO3cudu7ciZCQEDRu3BiBgYESsxOVPQZVTzk5OSXuNSpNREREufcjVVReXh5cXFwQGxuL8ePHixPgH374AQ8ePJBphtLb2xtaWlpwc3ND8+bN8eLFC2zatAk9e/bEggUL8OOPP0r0nz17NnR1dWFtbV3qMssxY8bg999/xxdffAFvb2+kpaVh1apVsLW1xblz52BlZVWRt09EREWpyjLkVDViY2MFAEJsbKyiQ6mQlJQUAYAwZswYRYdClaiyfl9ry7+DmmL16tUCAGHFihUS7Z6enoKSkpJw8+bNUsc4fvy4VFtWVpbQvHlzQVlZWXjx4oXEtbt374r/77Zt2wpmZmZFjhsXFycAEHr16iXRnpSUJKirqwtOTk6lxlaZ+LtKRLWVkgJzHCKxwsJl71u8eDEAwNnZuarDIZKb5ORkDBgwAFpaWtDS0kK/fv2QlJQEc3NzqcMDRCIRhg8fLnGvSCSCn58f/v77b9jY2EBNTQ3GxsaYPn068vPzJe53cnKSqCVTlcLCwqChoQFvb2+J9ilTpqCgoAA7duwodYzu3btLtWloaKBPnz7Iy8vDrVu3JK7JWpwwKioKAODp6SnRbm5uDgcHB0RFReH+/fsyjUVERLLj0imqFlxcXNC0aVN06NABb9++xbFjxxAeHg57e3u4ubkpOjyicklNTYWDgwOePn2KsWPHwtLSEqdPn0a3bt2QlZUl8ziHDh1CSEgIxo4dixEjRmD//v0ICAiArq5uuavep6SkyNxXW1sbysrKxV4vKChAbGwsrK2toaamJnGtbdu20NDQQExMTLniBICHDx8CABo0aFCu+wvrzhRVY6awKvvFixdhZmZWzgiJiKgoTDSoWujbty+2bduGvXv3IicnB59++immTZuGefPmVWjNOpEiLVmyBA8fPkRYWJj4RLVx48ZhxowZZap6f+PGDdy4cUM8WzF27Fi0bt0awcHB5U40DAwMZO5b2tHNaWlpyMnJgYmJidQ1kUgEExOTImu/yOLKlSvYs2cPHBwc0Lhx43KNUXhAQlRUFFxdXcXtOTk5uHDhAgDg33//LdfYRERUPCYaVC3MmDEDM2bMUHQYRHJ18OBBmJiYSB05PG3atDIlGm5ubhJLogoPTPjtt9+QmZlZrqr38jy6OTs7GwAk6rq8T01NTdynLJ4/fw53d3eoq6tj/fr1Zb6/UM+ePWFhYYHffvsNpqam6NevH9LT0+Hn54fnz59LvAciIpIfJhpERJUkKSkJdnZ2Uke7GhoaQkdHR+ZxitqL8MknnwB4tzyrPImGPI9uLlySVLhE6UOvX78uctlSSV68eAFnZ2c8fvwY4eHhaN68ebnjU1ZWxuHDh+Hp6YmpU6di6tSpAAAHBwf4+vril19+gZaWVrnHJyKiojHRICKq5kpaPiiU8zjb//77T+a+enp6UFFRKfa6rq4u1NXVi1weJQgCHj9+DAcHB5mf9+LFC3z55ZdISEjA/v37i9wkXlbm5uY4ffo0kpOT8eDBAxgZGaF58+bw9fUFALRo0aLCzyAiIklMNOijlpycjMaNG2PevHnw8/NTdDhUy5ibm+P27dsQBEFiVuPZs2el1n2obMbGxjL3LW2PhpKSEjp06IC4uDjk5uZKLKG6evUqsrKy8Pnnn8v0rMIk4+bNm9i7dy969Oghc5yyMDc3l1iGduTIEWhpaaFLly5yfQ4RETHRIKpVrly5goULF+Ly5cviv1ibmZnhm2++weTJk6GtrS11z7Zt27B8+XLEx8ejfv366NWrFxYvXgwjI6OqDr/W6du3LwICArBjxw7xZnAAMhWvq2zy3KMBAEOGDMGZM2ewdu1aicKRy5cvh5KSktQ+lYSEBCgrK6Np06bitrS0NDg7O+PGjRvYs2cPevbsKXOM5fH777/jypUrmDNnjvj0KSIikh8mGkS1yL179/Dy5UsMHjwYDRs2BADExMRg4cKF+Ouvv3Dx4kWJ40eDg4MxadIkODg4ICgoCP/99x8CAwNx9uxZxMTElGkfAUmbOXMmtm/fjuHDh+PChQuwsLDA6dOnce7cOejr60vt3ahK8tyjAQCjRo3C5s2bMXXqVCQlJYkrg+/cuRM+Pj7ik58KWVpawszMDMnJyeI2Z2dnxMXFYfDgwUhLS8O2bdsk7nF2dpY44jY0NFRc/+Lp06d4/fo1FixYAOBdgv1+3YxRo0YBANq1awdlZWUcP34cu3fvRo8ePTB37ly5fhZERPQOEw2iWqR///7o37+/RNvYsWNhYWGBGTNmIDw8HAMGDADwbhPxrFmzYGNjg8jISPE+AAcHB3zxxRfw9/fHr7/+WuXvoTbR19fHmTNnMHXqVGzcuFF8WlRkZCRsbGygrq6u6BDlRllZGREREZg7dy527tyJkJAQNG7cGIGBgRIzHCWJjY0FAOzYsaPIAn+RkZESicaGDRtw8uRJiT6FSYOjo6NEomFjY4M1a9Zg165dyM/PR4sWLRAUFITvv/8edevy/xUSEVUKBVcmp0oQGxsrABBiY2Mr9Tk5OTnCvHnzhObNmwvq6uqCtra2YGVlJcycOVOi344dO4Q+ffoIpqamgoqKimBoaCgMGjRIuHv3rtSYAIRhw4YJkZGRgq2traCuri6YmJgI/4+9+4yKIvnaAP4MSBYJAoIJDCggGFBQkmDCvyIIZiXqupgDBkyr4K6IYgBzWFxUQNec0TWgmDCAEUVFRVkxoqBkA/V+8GXWcQgDDPQA93cO56zVNdV3Zru6505XVy1ZsoQxxtiHDx/YqFGjmKamJlNQUGAODg4sNTVVoA0/Pz8GgN29e5eNGzeOaWlpMXl5eWZpackuXrwoUDc5OZkBYH5+fgLlBQUFbP369czU1JQpKCgwJSUlZmdnx6Kjo4Vi3rZtG+vUqRNTUVFhioqKrFmzZszV1ZWlpaWV52OtFLt27WIAWGhoKL8sNDSUAWDbt28Xqt+uXTvWpEmTKomtso7XquoH5ZGWlsYAsDFjxnAdCpEAknysEkJIRdDPOKTcJkyYgG3btsHb2xsdOnRAfn4+kpKSEB0dLVBv/fr10NDQwLhx46CpqYn79+8jNDQUZ8+eRUJCAjQ0NATq37x5E0eOHIG3tzfc3d2xe/duzJ49G3Jycti+fTv09PTg7++Px48fY/Xq1fDw8MDp06eF4nN3d4ecnBzmzJmDjIwMrF+/Hj169EBMTAw6d+5c4ntzd3fHzp07MWjQIIwcORL5+fmIjIxEr169sH//fv6iX+Hh4fD09ISDgwO8vLwgIyODlJQUREVFIS0tjT8FaXHS09Px7ds3UT5uKCsrF7tOwc9ycnL4fzdv3uR/fj169ODXKVyp2cLCQuj1lpaW2LBhA968eVPu1ZjJd7m5uUJ3LpYsWQLg+1AgQgghpMbiOtMh4ldVv46pqamxsWPHllovKytLqCw6OpoBYIGBgQLlABiPx2NXrlzhl+Xn5zNtbW3G4/HYpEmTBOr7+PgwAOzBgwf8ssI7Gl26dGGfP3/mlz98+JDJyMgwS0tLfllRdzT279/PALDNmzcL7OvLly+sY8eOTE9PjxUUFDDGGHNxcWGGhoalfgbF0dXVZQBE+gsLCxO53cLPoPCvTZs27OTJkwJ1+vXrxwCwnJwcodcHBARU2S+sNf2OhrW1NfP09GSrV69mwcHBzMHBgQFgVlZW7OvXr5zGRiSDpByrhBAibnRHg5SbiooKrl69iqdPnxa5oFihwtlcGGPIzMzE58+fYWJiAhUVFVy7dk2ovoWFhcAdB1lZWZibm+Pw4cNCY71tbGwQHByMpKQkoXnwp06dChkZGf6/W7VqBRcXF+zevRvv3r2DpqZmkfFGRERAVVUV/fv3R1pamsA2R0dH+Pv7IykpCa1atYKKigpSU1Nx/vx5dO3atdjPoDiRkZHIzc0VqW6bNm1EbtfDwwPW1tZIT0/HhQsXcP78eaHpVEtazbnwgXFaLbniHB0dERERgQMHDiA3NxdNmjTBjBkz4OfnV+L6GIQQQkh1R4kGKbeQkBC4u7ujRYsWaN26NWxsbNCvXz84OjpCSkqKXy8uLg7z58/H+fPnhb64FrWWQFFJi5qaGgCgWbNmRZa/f/9e6DUGBgZCZYUz3zx9+rTYRCMxMREZGRklDhl68+YNWrVqhblz5+L8+fOwtbWFtrY2rK2t0atXLwwfPhzKysrFvr6QlZVVqXXKo3nz5vzPcfDgwdi2bRuGDBmCU6dO8Wcb+nE155+H9uTl5QnUIeXn6+sLX19frsMghBBCqhwlGqTc+vfvj2fPniEqKgoxMTE4ffo0QkNDYWtri1OnTkFGRgbPnz+HnZ0d1NXVsXDhQujr60NRURE8Hg/Dhg1DQUGBULsl/cpb3DZWztWRi2tLW1sb4eHhxdYxNjYGAOjr6+P+/fs4c+YMzpw5g5iYGIwZMwb+/v6IjY2Frq5uift69+6dyM9oqKiolHuWomHDhuGXX35BWFgYP9Fo1KgRACA1NRUtW7YUqP/ixQuBOoQQQgghZUWJBqkQdXV1uLm5wc3NDYwxzJ49G0FBQTh27BicnZ1x8OBBZGdn4+jRowIrC+fm5iI9Pb1SY3vw4IHQQmP3798HIHxn5Ef6+vo4fvw4LC0tRfpFX05ODn379kXfvn0BAFFRUXBwcEBwcDBCQkJKfK2ZmRl/HYDShIWFwcvLS6S6P/v8+TMKCgoEPnMzMzNs2rQJsbGxQolGbGwsmjRpQg+C1xLPnj1Ds2bN4OfnB39/f67DIYQQUkNIlV6FEGHfvn0TGvbE4/HQoUMHAP8NZSq8A/HzHYegoKAi72aIU0hICL58+cL/96NHj3DgwAFYWFhAS0ur2Nd5eHjg69evmDdvXpHb37x5w//vn5/hAABTU1MARQ/n+llkZCROnTol0l/v3r1Lbe/H2H60bt06MMYEnn3p378/FBUVsWbNGoG7KmfPnsWtW7cEVrImpDq7e/cuZGRkwOPxcPDgwSLrREREwNTUFAoKCtDS0oKXlxdev35dtYESQkgNQ3c0SLlkZmZCR0cHTk5O6NChA7S0tJCcnIwNGzZAXV0dDg4OAIA+ffpAQUEBHh4emDhxIpSVlREdHY24uLhSp36tqLy8PHTt2hVDhw7Fx48fsW7dOkhJSWHFihUlvq5wStuQkBDExcWhb9++0NDQwIsXLxAbG4vHjx/j6dOnAAB7e3uoqqrCxsYGTZo0QUZGBrZu3QoejwdXV9dSYxT3MxrDhg0Dj8eDtbU1mjZtioyMDERHR+P48eMwNDTE1KlT+XU1NDSwePFiTJ06Fd27d4erqytev36NlStXonnz5pg1a5ZYYyOECwUFBfD29oa8vDyysrKKrLNmzRpMnjwZNjY2CAkJwevXrxEcHIxLly7h+vXrUFVVrdqgCSGkhqBEg5SLoqIipk6dijNnzuD06dPIysriJx5z586FtrY2AKBFixY4duwY5s2bhz/++IO/lkNMTAxsbW0rNcbt27djw4YNWLx4MT59+gRTU1MsXbq0yHUjfvbXX3+hW7du2Lx5MwIDA/H582doa2vD1NQUgYGB/Hrjxo3D7t27sWnTJnz48AH169dHhw4dsGbNGnTr1q0y316RPD09sXPnToSGhiItLQ2ysrLQ19eHv78/pk2bJvSA+pQpU6Curo4VK1Zg8uTJUFZWhpOTE5YsWcJ/0J6Q6mzjxo24c+cOZs2aBT8/P6Ht79+/x5w5c2BmZoazZ8/y78La2NigR48eCAoKwuLFi6s6bEIIqRm4nFuXVI7aPid74RoSycnJXIdCRFDd19HIzc1lfn5+rFWrVkxBQYGpqKgwY2NjNmvWLIF6O3fuZP369WONGzdmsrKyTEtLiw0bNow9efJEqE0AzNPTk509e5ZZWFgwBQUF1qhRI7ZkyRLGGGMfPnxgo0aNYpqamkxBQYE5ODiw1NRUgTYK+8Hdu3fZuHHjmJaWFpOXl2eWlpbs4sWLAnWLWk+GMcYKCgrY+vXrmampKVNQUGBKSkrMzs6ORUdHC8W8bds21qlTJ6aiosIUFRVZs2bNmKurK0tLSyvPxyoWqamprF69emzJkiUsLCyMAWAHDhwQqBMaGsoAsO3btwu9vl27dqxJkyaVHmdtP2cTQmouuqNBCCEVMGHCBGzbtg3e3t7o0KED8vPzkZSUhOjoaIF669evh4aGBsaNGwdNTU3cv38foaGhOHv2LBISEqChoSFQ/+bNmzhy5Ai8vb3h7u6O3bt381d43759O/T09ODv74/Hjx9j9erV8PDwwOnTp4Xic3d3h5ycHObMmYOMjAysX7+ef1fxx2d2iuLu7o6dO3fyhxPm5+cjMjISvXr1wv79++Hk5AQACA8Ph6enJxwcHODl5QUZGRmkpKQgKioKaWlppQ6TTE9PF3n2NWVl5SLXfinK5MmT0bhxY0ybNg2RkZFF1rl+/ToAFHmn09LSEhs2bMCbN29oYgRCCCkHSjQIIaQCDhw4gF9//RXr168vsd7x48f5i1cWcnJyQvfu3REaGorZs2cLbLt79y5iY2P5ycAvv/wCXV1dTJs2DRMnTsTq1asF6gcHB+Phw4dCC1fKy8vj/Pnz/MUrR4wYAWNjY0ybNg2XLl0q8X1FRkZi8+bN+PXXX/nlU6ZMQZcuXTBlyhQ4OjqCx+PhwIEDMDQ0xNGjRwXaWLRoUYmfSaEOHTqIffa1o0ePYt++fYiJiRFYuPNnqampAIqeyrlx48b8OpRoEEJI2VGiQQghFaCiooKrV6/i6dOnRS42WagwyWCMITMzE58/f4aJiQlUVFRw7do1ofoWFhYCdxxkZWVhbm6Ow4cPY/LkyQJ1bWxsEBwcjKSkJKFEY+rUqQJftFu1agUXFxfs3r0b7969K3bhyoiICKiqqqJ///5Cs6s5OjrC398fSUlJaNWqFVRUVJCamorz58+ja9euxX4GxYmMjERubq5Iddu0aVNqnezsbEyYMAEeHh6lxlO4iGhRd0nk5eUF6hBCCCkbSjRIjePv709rAZAqExISAnd3d7Ro0QKtW7eGjY0N+vXrB0dHR0hJ/TeDeFxcHObPn4/z588LfXH9eapoAEUmLYUP6P+8DkxheVFTKhsYGAiVGRkZAQCePn1abKKRmJiIjIyMEn/Jf/PmDVq1aoW5c+fi/PnzsLW1hba2NqytrdGrVy8MHz5caAKCooh79rX58+cjMzMTy5YtK7Vu4Vo5+fn5Qgti5uXlCdQhhBBSNpRoEEJIBfTv3x/Pnj1DVFQUYmJicPr0aYSGhsLW1hanTp2CjIwMnj9/Djs7O6irq2PhwoXQ19eHoqIieDwehg0bVuSaMoWzHxWluG3sp/VqKoIxBm1tbYSHhxdbx9jYGMD3RS7v37+PM2fO4MyZM4iJicGYMWPg7++P2NhY6Orqlrivd+/eifyMhoqKilBC8KOkpCSsXr0avr6++PTpEz59+gQAePv2LQDg9evXePz4MZo2bQpZWVn+kKnU1FShhStfvHgBoOhhVYQQQkpHiQYhhFSQuro63Nzc4ObmBsYYZs+ejaCgIBw7dgzOzs44ePAgsrOzcfToUdjZ2fFfl5ubK7Bae2V48OAB2rVrJ1B2//59AMJ3Rn6kr6+P48ePw9LSUqRf9OXk5NC3b1/07dsXABAVFQUHBwcEBwcjJCSkxNeamZmJ7RmN1NRUfPv2DYGBgQJTURcaN24cgO/PwBgbG8PMzAybNm1CbGysUKIRGxuLJk2a0PMZhBBSTpRoELGys7PDs2fP8OzZM65DEZtz584JrIkRGBgo9OAu+Y+xsTHu3bsHANDV1a1Rx8LPvn37hszMTIEF3Xg8Hjp06ADgv6FMhXcgfr7jEBQUVOTdDHEKCQnBgAED+M9pPHr0CAcOHICFhQW0tLSKfZ2HhweOHDmCefPmITg4WGj7jzMxpaWlCc2aZWpqCqDo4Vw/E+czGm3atMGePXuEys+dO4d169bB19cXZmZmaNq0KYDvd6QmT56MNWvWYMSIEfz/V2fPnsWtW7do4UpCCKkASjQIEZG3tzdsbGz4XyJ/dOLECfzxxx+4desW5OTkYGdnh6VLl0JfX7/c+0tJScG8efMQHx+Ply9f4vPnz2jatCn69OkDX19f6OjoVEkcwPfVldesWYONGzciOTkZ9evXx6BBg/DHH3+gXr16AnWXLFmCjIwMBAQEiPzlsbrKzMzkL1TZoUMHaGlpITk5GRs2bIC6ujocHBwAAH369IGCggI8PDwwceJEKCsrIzo6GnFxcaVO/VpReXl56Nq1K4YOHYqPHz9i3bp1kJKSwooVK0p8XeGUtiEhIYiLi0Pfvn2hoaGBFy9eIDY2Fo8fP8bTp08BAPb29lBVVYWNjQ2aNGmCjIwMbN26FTweD66urqXGKM5nNDQ1NTFo0CCh8sJVwS0sLODs7Mwv19DQwOLFizF16lR0794drq6ueP36NVauXInmzZtTokEIIRVAiQYhIrKwsICbm5tQ+aFDhzBgwAAYGxsjKCgI2dnZWLVqFSwtLXH9+nXo6emVa39v3rxBSkoKnJyc0KRJE8jIyCAhIQF//vkndu/ejVu3bgk8yFtZcQDAzJkzsXLlSjg5OWH69Ol49OgRVq1ahWvXruHChQuoU+e/U0m/fv0AAKGhoTX6bgbw/SHhqVOn4syZMzh9+jSysrL4icfcuXOhra0NAGjRogWOHTuGefPm4Y8//oCcnBx/LQtbW9tKjXH79u3YsGEDFi9ejE+fPsHU1BRLly4tct2In/3111/o1q0bNm/ejMDAQHz+/Bna2towNTUVGJY0btw47N69G5s2bcKHDx9Qv359dOjQAWvWrBG4GyippkyZAnV1daxYsQKTJ0+GsrIynJycsGTJEv6D9oQQQsqB0+UCSaXgcpVZW1tbpqurW+X7rUxnz55lAFhYWJjQti9fvrDGjRuzpk2bsk+fPvHLHzx4wGRkZNjw4cPFHs/u3bsZALZ8+fIqiePevXtMSkqKubi4CJRv2bKFAWCbNm0q8nWiHgvVfWVwSVW4MnhycjLXoZBS1PZjlRBSc0kVn4KQmur48ePg8XjFLjBmZGQk8FDktWvX4OXlxZ8pR0VFBd27dxda+bg4PB6vyIc3C4dWnDt3TqD848ePmDVrFlq2bAk5OTloampi+PDh/GEakiQmJgYvXrzA6NGjBabxbN26Nfr27YsDBw4gOztbrPssnMHnxylRKzOOnTt3oqCgAD4+PgLlHh4eqF+/PiIiIsrVLiGEEEJqNko0aiF7e/tip62Mj49HYmIi3N3d+WUHDhzAo0ePMHz4cKxatQozZszAkydP0KtXL8TExIg1to8fP8LS0hLr16+Hg4MD1qxZg4kTJyI6OhqdO3cWaWaanJwcpKWlifT38ePHCsV7/fp1AChyGIqlpSXy8vKQkJBQoX3k5+cjLS0NqampOHXqFH/WnMLZfSo7juvXr0NKSgrm5uYC5XXq1IG5uTni4+PFOq0qIYQQQmoGekajFpKWlsaIESOwcuVKJCUlCTwoHB4eDh6PJ5Bo/Pbbb0LTRI4dOxZGRkYIDAwU6xjzBQsWIDk5GVeuXEHbtm355V5eXjAxMYGfnx+2bt1aYhtBQUFYuHChSPuztbUVuqNSFqmpqQCKnme/cePGAnXKa+fOnRg5ciT/33p6eoiMjBRIKiozjtTUVGhoaBS5cnLjxo2Rk5OD9PR0qKurl6t9QgghhNRMlGjUUh4eHli5ciXCw8Px+++/AwC+fv2KnTt3wsrKSmBVYiUlJf5/Z2dnIy8vDzweD+bm5oiNjRVbTIwxREZGws7ODg0bNkRaWppADF26dMHJkydFem/W1tYi7bOiD3oWrvBc1JdweXl5gTrl1bt3b5w6dQqZmZm4fv06Dh8+LLSSdGXGkZOTU2S7P7dNiYZk8ff3h7+/P9dhEEIIqcUo0ail2rVrh7Zt2yIiIgILFy4Ej8fDyZMn8fbtWyxatEig7ps3bzB37lwcPnxY4Ms/8P35C3F59+4d3r9/j+PHjwvMpvQjKanSR/s1b95cIFGqTIULmeXn5wtty8vLE6hTXjo6OvypbF1cXNC7d2/Y2dlBVlYWo0ePrvQ4FBUV+asqi7ttQgghhNRclGjUYh4eHpgxYwYuXrwIGxsbhIeHQ15eHkOGDOHXKSgogL29PR4+fAgfHx+YmppCRUUFUlJSCAwMFPmB8KJ8/fpV4N+F4/x79+6NGTNmlLvdrKws/pz5pZGVla3QL/GFQ5VSU1NhaGgosO3FixcCdcTF1tYWjRs3RlhYGD/RqMw4GjVqhPv37yM/P1/ozsaLFy+gqKhIU4ASQgghRAg9DF6Lubq6QlpaGtu3b0dmZiYOHToEJycnqKio8OvcvXsXd+7cwezZsxEYGIjBgwfD3t4ePXv2FHkojrq6Oj58+CBU/vMsUpqamlBVVUVmZiZ69uxZ7F9pli9fzr8LUNrfgAEDRHoPxTEzMwOAIoeQxcbGQl5eHsbGxhXaR1Fyc3ORnp5eJXGYmZmhoKAA165dEyj/9u0brl+/DlNTU7He2aoJ7OzsKrRuiSQ6d+4ceDwe/2/JkiVchyTRjI2N+Z9VTTsWCCFEVJRo1GLa2tro1asX9uzZg4iICOTm5sLDw0OgjrS0NAAIzSp07tw5XL16VaT9tGrVCrGxsQKJSXp6OsLCwgTqSUlJwdXVFZcvX8bBgweLbKu4ITw/8vDwwKlTp0T6K2115NLY2tqiUaNGCA0NFbiL8vDhQxw7dgz9+/cXeMalLN68eVNk+d9//43379+jc+fOVRLHsGHDwOPxEBISIlC+fft2pKWlibTyM6k5vL29ER4eDkdHR6FtJ06cgJWVFZSUlKCuro4BAwYgKSmpwvv8McH58a9wooPyio6OhrOzM5o1awYlJSWoqqrC1NQUISEh/GGB5Y1jyZIlCA8Ph4GBQYViJISQ6oyGTtVyHh4eOHHiBGbPno0GDRqgd+/eAtsNDAxgaGiIoKAg5ObmQl9fH3fv3sXWrVthbGyMu3fvlrqPiRMnws3NDd27d4e7uzsyMjLw559/QldXF69fvxaoGxAQgEuXLmHAgAEYOnQounTpAhkZGTx//hxRUVHo2LFjqbNOVeUzGnXq1MGaNWswcOBAWFlZwdvbGzk5OQgJCUG9evWwePFigfrnzp1Dt27d4OnpWer7mDVrFu7du4devXpBT08P2dnZuHLlCvbu3QsdHR2BB30rM442bdpgypQpCAkJgbOzM/r164ekpCSEhITA3Nwcv/zyS1k+MlLNWVhYwM3NTai8MlemBwAbGxt4e3sLlJU3eS6UmJiIgoICjBw5Ejo6OsjPz8f58+fh4+OD48eP48SJE0J360SNo1+/fgCA0NBQPHv2rEJxEkJItcXteoGkMpRlldmcnBxWr149BoBNnTq1yDpPnz5lLi4uTF1dnSkpKTEbGxt27tw55unpyX4+hIpbDXrp0qWsadOmTFZWlhkYGLAtW7awsLAwBoCdPXtWoG52djb7/fffmbGxMZOXl2d169ZlBgYGbPTo0ezKlSsifw7iUtLK4IWioqKYhYUFU1BQYKqqqszZ2Zk9ePBAqN7hw4cZADZ37txS93v48GHm5OTEGjduzOTk5JiCggIzNDRk06dPZ2/evKmyOBhj7Nu3b2zlypWsdevWTFZWluno6LBJkyaxjIyMYl9Tm1cGF/W9Vycl9YPKXJmeMcYAME9Pzwq1URbjx49nAFhcXFyF4xDlWKCVwQkhNRUlGjUQXbTEq/AL1po1a9i7d+9YTk5Oudvy8fFhampq7P3792KMULLiSE9PZ+/evWOWlpYSnWhERUUxAGzdunVFbjc0NGQtWrTg//vq1avM09OTtWzZkikoKLB69eqxbt26sTNnzgi9tqgvl8V9SS0u4c7IyGC+vr6sRYsWTFZWlmloaLBhw4axJ0+elPzGK0lJicbp06cZAPb7778Lbevfvz+Tl5dnWVlZ5d534WeXn5/PMjMzy92OqJYuXcoAsNOnT1c4Dko0CCG1GT2jQYiIJk2aBE1NTaxatarcbfzzzz+YN28e52tOVGYc1tbW0NTUxOXLl8XetjjZ29tDW1sb4eHhQtvi4+ORmJgosHDlgQMH8OjRIwwfPhyrVq3CjBkz8OTJE/Tq1QsxMTFije3jx4+wtLTE+vXr4eDggDVr1mDixImIjo5G586d8fz581LbyMnJQVpamkh/Hz9+rFC8lbkyfaE9e/ZAQUEBysrK0NbWxrRp00SeXa40WVlZSEtLQ3JyMiIjIxEUFARNTU3+JAtVFQchhNQ09IwGIaVo164dTp06xf/3jyupl9W9e/fEEVKFVWYcPz6QrqCgUGn7qShpaWmMGDECK1euRFJSksD/1/DwcPB4PIFE47fffkNgYKBAG2PHjoWRkRECAwNha2srttgWLFiA5ORkXLlyBW3btuWXe3l5wcTEBH5+fqU+WxMUFISFCxeKtD9bW1ucO3eu3PFW5sr0AGBubo7BgwdDX18fGRkZOHz4MIKDg3Hx4kWcP3+ev3BkeU2cOBHbtm3j/7tz587YsGED6tWrV6VxEEJITUOJBiGlUFNTE2laXfJdly5duA5BZB4eHli5ciXCw8Px+++/A/i+vsvOnTthZWUlMKnAjw/8ZmdnIy8vDzweD+bm5kVOK1xejDFERkbCzs4ODRs2FFgkU0lJCV26dMHJkydFem/W1tYi7bOi66BU5sr0AIRmuPP09MTcuXMRGBiIP//8E5MmTSp32wDg6+sLNzc3vH37Fv/88w8ePHhQ5F2eyo6DEEJqGko0CCG1Vrt27dC2bVtERERg4cKF4PF4OHnyJN6+fYtFixYJ1H3z5g3mzp2Lw4cPC3z5ByDWdUTevXuH9+/f4/jx49DU1CyyjpRU6aNeq3L2tcpcmb44c+fOxZIlS3D8+PEKf8E3MjKCkZERAGDEiBFYuHAh7O3tcfv2baEFMCszDkIIqWko0SCE1GoeHh6YMWMGLl68CBsbG4SHh0NeXh5Dhgzh1ykoKIC9vT0ePnwIHx8fmJqaQkVFBVJSUggMDER0dHS59//161eBf7P/X7Omd+/emDFjRrnbzcrKEvnZAVlZ2Qo9r1OZK9MXp27duqhfv75Q0icObm5u8Pf3R0REBAICAjiLgxBCqjtKNAghtZqrqytmzZqF7du3o3379jh06BCcnJygoqLCr3P37l3cuXMHfn5+AuuXAMD8+fNF2o+6ujo+fPggVP706VOBf2tqakJVVRWZmZkVGrK3fPnyKntG48eV6X+OuaIr0xcnIyMDaWlplTJULzc3F8D3hUW5jIMQQqo7SjQIIbWatrY2evXqhT179sDU1BS5ubnw8PAQqCMtLQ3gv7sNhc6dOyc0br84rVq1QmxsLHJycvjDiNLT0xEWFiZQT0pKCq6urli3bh0OHjwIZ2dnobbevn0LLS2tEvdXlc9o/LgyvY+PD+rWrQvgv5XpBwwYUO7F9d6/f4/69esLlc+dOxfAfwvjlcebN2/QoEEDofK1a9cC+P5QeFXEQQghNRUlGoSQWs/DwwMnTpzA7Nmz0aBBA/Tu3Vtgu4GBAQwNDREUFITc3Fzo6+vj7t272Lp1K4yNjXH37t1S9zFx4kS4ubmhe/fucHd3R0ZGBv7880/o6uri9evXAnUDAgJw6dIlDBgwAEOHDkWXLl0gIyOD58+fIyoqCh07dix11qmqfEajMlemX7RoEa5evQo7Ozvo6uri48ePOHr0KC5cuAA7OzuMGjVKoL6/vz8WLlyIsLAweHl5ldi2paUl2rRpAzMzMzRs2BDv3r3DkSNHcPnyZXTt2hWurq7ljoMQQgglGoQQAmdnZ9SrVw+fPn3CqFGjUKeO4KmxTp06OHbsGKZPn44tW7YgPz8fpqamOHLkCMLCwkRKNFxdXZGamop169Zh2rRpaN68ORYsWAApKSmhuyIqKiq4dOkSVqxYgd27d+PgwYOoU6cOGjduDGtra4wePVqs718cXFxccOzYMfzxxx+YOXMm5OTkYGdnhyVLlgglPJmZmQBEe27Dzs4O9+/fx7Zt25CWloY6derAwMAAQUFBmDJlCmRkZMrd9vjx43H48GGsXbsWHz58gIKCAoyMjBAcHIzx48cLHAdljYMQQgjAYz+PBSDV3o0bN9CxY0dERESUOmMKIVxLTEyEm5sb4uPjYWpqKrZ2C/uBuNutrQrvQqxZswbDhg2DkpJSuddJmTZtGrZu3YrHjx+LfdFIU1NTKCsri30RxbLKyMjA169f0b9/f6SmpuLZs2fF1qVjlRBSU9EdjRpIQ0MDioqKcHNz4zoUQkSiqKgIDQ0NrsMgIpg0aRImTZqEwMBAzJ49u1xtVNbK9G/fvsXt27dFfm6mMllbW/MXxtTV1eU4GkII4QYlGjVQ06ZNkZiYSNMtkmpDQ0MDTZs25ToMUoJ27drh1KlT/H//uJJ6WVXWyvRaWlr49u1bpbRdVqGhofzphct754cQQqo7SjRqqKZNm9IXN0KI2KipqVVout3ahqa7JYQQoPTlZQkhhBBCCCGkjCjRIIQQQgghhIgdJRqEEEIIIYQQsaNEgxBCCCGEECJ2lGgQQgghhBBCxI4SDUIIIYQQQojY0fS2hJAaLTExkesQCCkRHaOEkJqKEg1CSI2koaEBRUVFuLm5cR0KIaVSVFSEhoYG12EQQohY8RhjjOsgCCGkMqSkpCAtLU3s7ebn52Pp0qU4dOgQhgwZgmnTpkFGRkbs+yHc+vLlC1auXIndu3fD2dkZs2bNgqysbKXsS0NDgxZZJYTUOJRoEEJIGbx48QIDBw7E7du3sXHjRnh5eXEdEqlkW7duxdixY9G+fXvs3bsXjRs35jokQgipFijRIIQQEZ0/fx6DBw+GnJwc9u/fj06dOnEdEqkicXFxGDBgAPLz87Fnzx507dqV65AIIUTi0axThBBSCsYYVq9ejR49eqBNmzaIj4+nJKOW6dSpE+Lj42FkZIQePXpgzZo1oN/pCCGkZJRoEEJICXJzc+Hp6YkpU6ZgypQpOHnyJDQ1NbkOi3BAU1MTp06dwuTJkzF58mR4enoiNzeX67AIIURi0dApQggpxrNnzzBgwAA8ePAAW7ZswfDhw7kOiUiIHTt2YPTo0TA0NMT+/fuhq6vLdUiEECJx6I4GIYQU4fTp0+jUqRMyMjIQGxtLSQYRMGLECMTGxiI9PR0dO3bEmTNnuA6JEEIkDiUahBDyA8YYli1bht69e6Njx46Ii4tDu3btuA6LSKB27dohLi4OHTt2hL29PZYvX07PbRBCyA8o0SCEkP+XnZ2NYcOGwdfXF7NmzUJUVBTU1dW5DotIMHV1dURFRcHX1xczZ87E8OHDkZ2dzXVYhBAiEegZDUIIAfD48WO4uLggOTkZ27Ztw8CBA7kOiVQze/fuhZeXF5o3b44DBw6gRYsWXIdECCGcojsahJBa7/jx4zAzM0N+fj6uXr1KSQYpl0GDBuHq1avIy8tDp06dcOLECa5DIoQQTlGiQQiptQoKChAQEAAHBwdYW1vj2rVraNOmDddhkWqsTZs2uHbtGqysrNC3b18sXryYntsghNRalGgQQmqlT58+YeDAgfjtt9+wYMECHDp0CKqqqlyHRWoAVVVVHD58GPPnz8e8efMwcOBAZGZmch0WIYRUOXpGgxBS6zx8+BDOzs54+fIlwsPD4eTkxHVIpIY6fPgw3Nzc0LhxYxw4cACtW7fmOiRCCKkydEeDEFKrHDp0CGZmZuDxeLh27RolGaRSOTk54fr16wAAc3NzHD58mOOICCGk6lCiQQipFQoKCrBgwQI4OzujV69euHr1Kv26TKpE69atcfXqVfTs2RP9+/fHggULUFBQwHVYhBBS6WjoFCGkxsvIyICrqyuOHz+OgIAAzJ49Gzwej+uwSC3DGMOSJUswb9489O3bFxEREfRcECGkRqNEgxBSoyUkJMDFxQXv37/Hjh078L///Y/rkEgtd+LECQwfPhwaGho4ePAgzXRGCKmxaOgUIaTG2rNnD7p06QJFRUXExcVRkkEkwv/+9z/ExcVBQUEBnTt3xt69e7kOiRBCKgUlGoSQGufbt2+YNWsWhgwZAkdHR1y+fBnNmzfnOixC+Fq0aIHY2Fg4Ojpi8ODBmD17Nr59+8Z1WIQQIlY0dIoQUqO8f/8ew4cPx5kzZ7Bs2TL4+PjQ8xhEYjHGsHLlSvj6+qJnz57YsWMH6tevz3VYhBAiFpRoEEJqjFu3bsHFxQVZWVnYtWsXunfvznVIhIjkzJkzGDp0KJSVlXHgwAG0b9+e65AIIaTCaOgUIaRGiIyMhKWlJdTV1REXF0dJBqlWevTogfj4eKipqcHS0hI7duzgOiRCCKkwSjQIIdXaly9f4OPjAzc3NwwePBgXL16Erq4u12ERUma6urq4dOkSBg8eDFdXV0ybNg1fv37lOixCCCk3GjpFCKm23r59iyFDhuDSpUsIDg7GhAkT6HkMUu0xxrB27VpMmzYN1tbW2LVrF7S0tLgOixBCyowSDUJItXT9+nUMGDAAnz9/xt69e2FjY8N1SISI1fnz5zF48GDIyspi//79MDMz4zokQggpExo6RQipdv766y/Y2NigUaNGuHHjBiUZpEbq2rUr4uPj0bBhQ9jY2CAsLIzrkAghpEwo0SCEVBufP3/G+PHj8csvv8DDwwMxMTFo1KgR12ERUmkaN26M8+fPw93dHaNGjcKECRPw+fNnrsMihBCR0NApQki18OrVKwwaNAhxcXFYu3Ytfv31V65DIqRKbd68GRMnToS5uTn27NkDHR0drkMihJASUaJBCJF4ly9fxqBBg8Dj8bBv3z506dKF65AI4URsbCwGDRoExhj27dsHCwsLrkMihJBi0dApQojEYoxh48aNsLOzQ4sWLRAfH09JBqnVLCwsEB8fjxYtWsDW1habNm0C/V5ICJFUlGgQQiRSXl4eRo8ejXHjxmHMmDE4c+YMtLW1uQ6LEM5pa2vjzJkz8Pb2xtixY/Hrr78iLy+P67AIIUQIDZ0ihEicf//9FwMHDsSdO3ewadMmeHp6ch0SIRJp69atGDt2LNq1a4d9+/ahcePGXIdECCF8lGgQQiRKTEwMBg8eDAUFBezfvx8dO3bkOiRCJFpcXBwGDBiA/Px87N69G7a2tlyHRAghAGjoFCFEQjDGsGrVKvTo0QPGxsaIi4ujJIMQEXTq1Anx8fEwMjJCjx49sHr1anpugxAiESjRIIRwLicnB+7u7pg6dSqmTp2KkydPQlNTk+uwCKk2NDU1cerUKUyZMgVTpkyBh4cHcnJyuA6LEFLL0dApQginnj17BhcXFzx8+BBbtmzB8OHDuQ6JkGptx44dGD16NAwMDLB//37o6elxHRIhpJaiOxqEEM6cOnUKHTt2xMePHxEbG0tJBiFiMGLECMTGxiIjIwOdOnXC6dOnuQ6JEFJLUaJBCKlyjDEEBQXhf//7Hzp16oS4uDi0a9eO67AIqTHatWvHf86pd+/eWLZsGT23QQipcpRoEEKqVFZWFoYNG4ZZs2Zh1qxZiIqKgrq6OtdhEVLjqKurIyoqCr6+vvD19cWwYcOQnZ3NdViEkFqEntEghFSZx48fw8XFBc+ePcPWrVsxcOBArkMipFbYt28fPD090axZMxw4cAAtW7bkOiRCSC1AdzQIIVUiKioKZmZmyM/Px9WrVynJIKQKDRw4EFevXkV+fj7MzMxw/PhxrkMihNQClGgQQipVQUEBFi1ahH79+sHGxgbXr1+HkZER12ERUuu0adMG165dg7W1NRwcHBAQEICCggKuwyKE1GCUaBBCKs2nT58wYMAAzJ8/H35+fjh48CBUVFS4DouQWktVVRWHDh3CggUL8Ntvv2HgwIH49OkT12ERQmooekaDEFIpHjx4AGdnZ7x69QoRERFwdHTkOiRCyA8OHz4Md3d3NGzYEAcOHICBgQHXIRFCahi6o0EIEbuDBw/C3NwcUlJSuH79OiUZhEggJycnXLt2DTweD+bm5jh06BDXIRFCahhKNAghYvPt2zfMnz8fLi4u6NWrF65evYpWrVpxHRYhpBitW7fG1atX0atXLzg7O2PBggX03AYhRGwo0SCElNnBgwfx7t07gbL09HQ4OjoiICAAixcvxt69e6GsrMxRhIQQUSkrK2Pv3r1YvHgxFi1aBEdHR2RkZAjUeffuHQ4ePMhJfISQ6osSDUJImdy4cQMuLi6Ij4/nlyUkJMDMzAxXrlxBVFQU5syZAx6Px2GUhJCy4PF4mDNnDqKionD58mWYmZkhISGBvz0uLg4uLi64efMmh1ESQqobSjQIIWUSFBSEZs2aoWfPngCA3bt3o3PnzlBSUkJcXBz+97//cRwhIaS8/ve//yEuLg4KCgro0qUL9uzZAwDo1asX9PT0EBQUxHGEhJDqhBINQojInjx5gj179mD69OkAgFmzZmHo0KFwcnLC5cuX0bx5c44jJIRUVIsWLRAbGwtHR0cMGTIEs2bNAo/Hw/Tp07F79248ffqU6xAJIdUEJRqEEJGtWLEC6urqcHJyQp8+fbB8+XKsWLECO3bsgJKSEtfhEULERElJCTt27MDy5cuxfPly9OnTB/3794e6ujpWrFjBdXiEkGqC1tEghIjk7du30NXVxahRoxAVFYWsrCzs2rUL3bt35zo0QkglOnPmDIYOHQplZWX06dMHYWFheP78ObS0tLgOjRAi4eiOBiFEJKtXrwZjDFu2bIG6ujr279+PN2/ewMfHB1ZWVpgwYQLXIRJCxGTChAmwsrKCj48P3r59i/3790NNTQ1hYWFgjGHNmjVch0gIqQbojgYhpFTp6enQ0dFBfn4+GjVqhNzcXHz48AHA9/HcZmZmcHNzg4ODA8eREkLE4dixY4iIiMC1a9f4z2Soq6tDXl4eL1++hJycHF6/fg1VVVVuAyWESLQ6XAdACJF8Bw8eRH5+PurWrYv27dvD3Nwc5ubm6NSpEzQ0NLgOjxAiZg4ODvwfDtLS0hAXF4dr167h2rVr+PTpE7KysnDw4EF4eXlxGyghRKLRHQ1CiEhevnwJHR0dWh+DkFqOMYZXr16hYcOGXIdCCJFwlGgQQgghhBBCxI6GTtUyKSkpSEtL4zoMUktpaGigadOmXIdBSK1B53xSndA1ouahRKMWSUlJgaGhIXJycrgOhdRSioqKSExMpAsJIVWAzvmkuqFrRM1DiUYtkpaWhpycHERERMDQ0JDrcEgtk5iYCDc3N6SlpdFFhJAqQOd8Up3QNaJmokSjFjI0NISpqSnXYRBCCKkCdM4nhHCFFuwjhBBCCCGEiB0lGoQQQgghhBCxo0SDEEIIIYQQInaUaBBCCCGEEELEjhINUuX09PTA4/HA4/FgYGBQ7nbi4uL47fB4PPj7+4svSEIIIZWOrgeE1GyUaBBOGBgYIDw8HMuWLRPa9vr1a3h5eUFLSwsKCgowNTVFZGSkUL3mzZsjPDwcwcHBVRFypWOMwdLSEjweD87OziK/7tOnT5g+fTqaNWsGWVlZNGrUCOPHj8eHDx+E6vr7+wtcjH/8Cw0NFeO7IYQQ0dD1QFh5rwfZ2dkIDAyEiYkJlJWVoaGhAUtLS2zduhWMMYG6Xl5exV4PTp8+LeZ3RGormt6WcKJBgwZwc3MTKs/IyIC1tTVevXoFHx8f6OrqYs+ePXBzc0N6ejomTpzIr6uurg43Nzc8e/YMPj4+VRl+pdi4cSPu3r1bptfk5OSga9euuHv3Lry8vGBubo4HDx5g/fr1uHDhAq5cuQIlJSWh1wUHB0NDQ0OgzMLCokLxE0JIedD1QFh5rgeMMTg4OODChQvw9PTEpEmTkJOTg127dmHkyJFITEzE0qVLhV4XHh4uVGZsbFzu2AkRwEitER8fzwCw+Ph4TuPQ1dVltra2RW6bNWsWA8AOHTrELysoKGC2trasbt267P3790KvSU5OZgCYn5+f2GL8/Pkzu3v3rtjaK83Lly+ZiooKW7ZsGQPA+vfvL9LrVq5cyQCwpUuXCpTv2rWLAWD+/v4C5X5+fgwAS05OFlPkopOU44+Q2qI69Dm6Hggr7/Xg2rVrDACbOnWqQPnnz59Zy5YtmYqKikC5p6cnk6SvgdXheCVlR0OnSIV9/foVlpaWUFZWRlJSksC24OBg8Hg8rFy5UqS2IiMj0aJFCzg5OfHLeDwepk6diqysLBw8eFCcoQu5cuUKJkyYAB0dHfz222+Vuq8fTZ48GU2bNsXUqVPL9Lpz584BADw8PATKBw8eDHl5eWzbtq3Y13769Anfvn0ra6iEEFIsuh5UXHmvBx8/fgQANGzYUKBcRkYGmpqaRd7dBr7fCfn06RMKCgrKFS8hJaGhU6TC6tSpgx07dqB9+/YYPnw4Ll++DFlZWdy4cQOzZ89Gnz59RLqV/fr1a7x48QKurq5C2ywtLQEA169fx6hRo8Qa/5MnTxAREYGIiAg8fvwYysrKGDBgAMaMGSNQLycnBzk5OSK1KSMjAxUVFZHqHjt2DPv27cOFCxdQp07ZumR+fj4AQFFRUaCcx+NBQUEBycnJSEtLExom1bZtW2RmZkJaWhoWFhbw9/dHjx49yrRvQgj5GV0PhFXV9aBTp05QVVVFUFAQdHV10aVLF+Tm5iI8PBxXr17Fxo0bi3ydiooKMjMzIScnh27duiEgIIBWkidiQ4kGEQs9PT1s3rwZQ4cOxZw5c7Bw4UIMGzYM6urq2Lp1K3g8XqltpKamAgAaNWoktE1LSwsyMjL8OhX1/v177N69G+Hh4YiNjYWMjAz69OmDgIAAODo6QkFBQeg1QUFBWLhwoUjt29ra8u82lCQ7OxsTJkyAl5cXrKysyvo2YGRkhH/++Qfnzp0T+NXv9u3bSE9PBwCkpKTwEw1VVVV4e3vD0tISampquH//PoKDg2Fvb49du3Zh0KBBZY6BEEJ+RNcDQVV1PVBVVcXhw4cxevRoDB06lF+urKyMvXv3wsXFRaC+trY2fHx80LFjRygqKuLGjRsICQmBlZUVzpw5w0/oCKkISjSI2AwZMgQnT55EcHAwYmNj8fjxY/zzzz/Q0tIS6fWFvw7JyckVuV1eXl7kX5CKc/36dQQEBCAqKgpfv36FlZUVNmzYgCFDhkBdXb3E13p4eMDa2lqk/aipqYlUb8GCBcjMzERQUJBI9X82duxYbNy4EePGjcOXL1/QqVMnPHz4EFOmTIGMjAy+fPki8Jn9fCveyckJnp6eMDY2xqRJk9C/f3/IyMiUKxZCCClE14P/VNX1APiebLRu3Ro9evRAz5498enTJ6xbtw6urq44dOgQevXqxa+7ZMkSgde6uLhgyJAh6NSpEyZNmoT4+Phyx0FIIUo0iFitXr0ap06dQmxsLHx8fAROaqUpHP5TOBzoZ3l5eUJDhMrq2LFjOHToEOTl5bFy5UqMGTNG5C/WzZs3R/PmzSu0/x/dvHkTq1atwsaNG4WGNomqVatWOHLkCEaPHs2/GyElJYXRo0fD0NAQBw4cQL169UpsQ0dHB6NGjcLy5ctx8+ZNmJublysWQgj5EV0PRCeO60FKSgqsrKwwceJELF68mF8+dOhQGBsbw9vbG0+ePIGUVPGP55qYmMDJyQl79+7F27dvRU4MCSkOJRpErG7cuMG/nX3nzh0wxkS6TQ78d4u8qNvhb9++xZcvX4q8jV4Wv/76K6SlpREREYFJkybBz88PgwcPhqurK6ytrUuMNSsrC1lZWSLtR1ZWttRfxKZMmQJ9fX3Y2tri8ePHAtuys7Px+PFjqKmpoX79+iW206NHDzx58gT37t1DRkYG9PX1oa2tjS5dukBaWhotW7YsNV49PT0AQFpaWql1CSFEFHQ9+K6qrgdbtmxBZmam0BBYBQUF9O3bF2vXrkVKSgr/fF+cH68HlGiQiqJZp4jYZGRkwNXVFY0bN8aCBQtw5syZMt0C1tbWRuPGjXHlyhWhbbGxsQC+P+xWEY0aNcL8+fPx8OFDXLlyBcOHD8e+ffvQtWtX6OnpYfbs2cXOXb58+XLo6OiI9DdgwIBSY0lJScGDBw/QqlUr6Ovr8/8A4PTp09DX10dgYKBI70tKSgomJiawsbGBtrY23r17h/j4eNja2or0q1/h7DANGjQQaX+EEFISuh5U/fXg9evXAFDkbIJfv34tdtvPCq8HlGQQcaA7GkRsfv31V6SmpiImJgaWlpa4du0a5s+fj+7du8PMzEykNkaMGIGgoCAcPnyY/3AzYwzBwcFQUlIq0wqppencuTM6d+6M4OBgHD9+HOHh4QgJCcHSpUthbGyMWbNmCSwiJe4xuRs2bEB2drZQ+eDBg2FmZgZfX1+0bt2aX/7q1St8/PgRTZs2LTF5YIxh2rRp+Pr1K+bMmcMv//r1K3JycoSGUj1+/Bh//fUXGjdujPbt24vw7gghpGR0PfhPVV0PjIyMAADbtm0T+Iw/fvyIw4cPo379+vy7FdnZ2ahTp47QMzCXL1/G0aNH0aVLl3IP4SJEAJeLeJCqVZmL4WzatIkBYAsXLuSXvXnzhjVo0IC1aNGCffr0iV9e0gJNHz58YM2aNWNKSkrst99+Y5s3b2a9evViANiqVauKfI04F2hKT09nmzdvZjY2NszFxaXC7ZUHilmgqXBxpbNnzwqUd+zYkc2YMYNt2rSJrVy5knXp0qXIxfrS09OZmpoaGzlyJFu6dCnbtGkTmzp1Kqtbty6TkZFhx44dq8R3RYsxEVLVuOpzdD0Qn7JcDzIyMpienh4DwFxcXNi6detYYGAga9GiBQPA1q9fz6978+ZNpqOjw8aOHctWrFjBNmzYwLy9vZmsrCxTVlbm5DxN14iaiRKNWqSyOvH9+/eZoqIi69q1K/v27ZvAtn/++YfxeDzm5ubGLyvpwsIYY6mpqczd3Z1paGgwOTk51r59e7Z9+/Zi61fGSrCMMZaZmSnW9kRV1kRj/PjxrGXLlkxeXp7Vq1ePde/enR09elTo9Xl5eeyXX35hxsbGTEVFhdWpU4fp6OiwIUOGsBs3blTSu/kPXUQIqVpc9Dm6HohXWa8HaWlpbMaMGczQ0JApKiqyunXrMmtra7Z3716Beq9evWJubm6sdevWTFlZmcnIyLCmTZuyUaNGscePH1fiOyoeXSNqJho6RSrM0NCwyFu+AGBvb1/kaqNfvnxBWloa6tSpA1VVVYFtDRs2xPbt20vd79evX5GRkcFfL0Lc6tatWyntloYxVmT51q1bsXXrVqHydevWidSunJwcQkNDKxIaIYSUiK4H4lXW60H9+vWxbNkyLFu2rMR2tbW1ER4eLo4QCSkRPQxOOHH58mVoamqiS5cu5W7j1q1b0NTUpBVMCSGkGqPrASE1F93RIFUuMjISubm5AAAlJaVyt9O6dWucOnWK/29xzmlOCCGk8tH1gJCajRINUuWsrKzE0o6ysjJ69uwplrYIIYRUPboeEFKz0dApQgghhBBCiNhRokEIIYQQQggRO0o0CCGEEEIIIWJHiQapdng8Hry8vMr9ejs7O/7qqIQQQiQHnd8JqVko0SCkin369AlTpkxBo0aNIC8vD0NDQ6xevbrY+dJ/du7cOfB4vCL/3NzcKjl6Qgghxano+b08beTk5OD3339HmzZtoKCgAHV1dVhYWODAgQMC9a5du4bJkyfD2toadevWBY/HK3ItDkLEiWadItVObm4upKWly/36kydPlumkL05fvnyBvb094uPjMWHCBBgbG+PUqVOYMmUKUlJSsHz5cpHb8vb2ho2NjUAZTelICKnOavv5vaxtpKeno0ePHkhKSsLIkSMxbdo0ZGdnIzExEc+fPxeoGxUVhXXr1sHAwADt27fHpUuXxPr+CSkKJRqk2pGXl6/Q62VlZcUUSdlt2bIFV69exapVqzB58mQAwOjRoyEnJ4fg4GD88ssvMDQ0FKktCwsLuoNBCKlRavv5vaxtTJ48GY8fP8bVq1dhZGRUYtvjxo3DzJkzoaSkhIMHD1KiQaoEDZ0iEuHZs2cYOHAg6tWrh3r16qF///5ITk6Gnp4e7OzsBOr+PIb32bNn4PF48Pf3x9GjR2FmZgZ5eXno6Ohg5syZ+Pr1q8DruRzDGxkZCUVFRXh7ewuUT5s2DQUFBdi5c2eZ2svOzkZ+fr44QySEELGi87vo5/eytPHs2TPs2LEDv/76K4yMjPDt2zdkZWUV23aDBg0qtCgiIeVBiQbh3Pv372FjY4MjR47Ay8sLS5cuhZKSErp164bs7GyR24mKisKoUaPQp08fBAcHo127dli+fDmCgoLKHVtaWprIf1++fCmxrYKCAsTHx6NDhw5Cv9q1a9cOioqKuH79usixTZ48GXXr1oW8vDwMDAywfv36cr1HQgipLHR+F/38XtY2Tpw4gYKCAhgZGcHd3R2KiopQVlZG48aNERwcXMZPg5DKQUOnCOeWLl2KFy9eIDIyEiNGjADw/Ravr68vli1bJnI79+7dw7179/i/Zo0dOxYmJiZYs2YN5s6dW67YNDU1Ra579uxZoV/nfpSeno7c3Fw0atRIaBuPx0OjRo2Qmppa6n5kZGTg5OSEvn37omHDhnjx4gU2b96MCRMm4MGDB1i9erXIMRNCSGWi87vo5/eytvHw4UMAwJw5c6ChoYGNGzdCVlYWGzduxLRp05CRkYGFCxeK+A4JqRyUaBDOHTlyBI0aNcLw4cMFymfMmFGmC5Gzs7PALXMej4du3bph7dq1yMrKQt26dcsc26lTp0Su265duxK35+TkAADk5OSK3C4vL8+vUxIrKyscOnRIoMzb2xt2dnZYs2YNfv31V5iYmIgYNSGEVB46v38nyvm9rG1kZmYCAD5//owLFy6gfv36AIAhQ4bAyMgIQUFBmDp1KtTU1ErcLyGViRINwrnk5GRYWlqCx+MJlGtpaUFVVVXkdoqacanwxPv+/ftyXYh69uxZ5tcUR1FREQCKfaYiLy+PX6espKWlMXv2bPTr1w/Hjx+nRIMQIhHo/P6dKOf3srahoKAAAOjXrx//swC+3/UeMWIEfv/9d1y5cgV9+vQR/Y0QImaUaJAao6QpEcs73eHr169Frquurl7ijCdqampQUFAo8vY5YwwvX74Umq62LAp/7UtLSyt3G4QQIolqw/m9rG00btwYAKCtrS1UX0dHB8D34ViEcIkSDcI5PT09PHr0CIwxgV+93r59i4yMDO4Cw38na1GUNoZXSkoKHTt2xI0bN5Cfny9we/zOnTvIzs5Gp06dyh1rUlISgO8zixBCiCSg87vo5/eytmFubg4AePHihVBbhWVaWloivT9CKgslGoRzjo6OWL58OXbu3Ml/WBBAmRavqyziHMMLACNGjMDFixexadMm/hzpALBy5UpISUkJjWN+8OABZGRk0KJFC37Z+/fvBW6TA98Xufrjjz/A4/HQt29fkWMmhJDKROf3sp3fy9JG165doauriyNHjiA1NZX/EHl2dja2b98OVVVVWFhYiPweCakMlGgQzs2aNQs7duyAl5cXrl69CgMDA1y4cAGXL1+GhoaG0NjeqiTOMbzA94WXtm7diunTpyM5OZm/6uuuXbvg4+MjtOCSoaEhdHV18ezZM35Znz590LBhQ5iamvJnndq+fTuSk5Mxd+5ckRf8I4SQykbn97Kd38vShrS0NNavXw8nJydYWFhg/PjxkJWVRVhYGP79919s2bJFYN2M58+fIzw8HACQmJgI4PvD+oV3P9zd3aGrqyvWz4QQSjQI5zQ0NHDx4kVMnz4df/31F382kbNnz8LMzIz/wFtNICMjg5MnT2L+/PnYtWsX1q9fj2bNmiE4OFjg16uSDBw4EAcPHsSaNWuQkZGBunXrwtTUFMuXL8eAAQMq+R0QQojo6PxetvN7Wdvo27cvzpw5g4ULFyIgIADfvn1Dhw4dcPjwYTg6OgrUTU5Oxvz58wXK9u/fj/379wMArK2tKdEgYsdj5X2KilQ7N27cQMeOHREfHw9TU1OuwynV+/fvoaGhgTFjxmDjxo1ch0MqqLodf4RUd5Lc5+j8Tn4myccrKT9aGZxIhNzcXKGyJUuWAAB69epV1eEQQggREzq/E1J70dApIhHs7e3RokULdOzYEd++fcPp06dx7NgxWFlZwdnZmevwCCGElBOd3wmpvSjRIBLB0dEREREROHDgAHJzc9GkSRPMmDEDfn5+Jc6fTgghRLLR+Z2Q2osSDSIRfH194evry3UYhBBCxIzO74TUXvSMBiGEEEIIIUTsKNEgpAjPnj0Dj8eDv78/16EQQgipAnTeJ0T8KNEgpJb4999/MXbsWLRs2RIKCgpo1KgRHB0dcf78ea5DI4QQIma3b9/GkCFDoK+vD2VlZSgrK8PY2BgLFy7Ex48fBeo+evQICxYsQJcuXaCpqQllZWW0b98eAQEByM7O5ugdkJqAntEgpBZ48+YNOnXqhM+fP2PMmDHQ19fHq1ev8Oeff6Jbt244fPgwHBwcuA6TEEKImDx9+hQfP37E8OHD0bBhQwDA9evXERAQgH379uHatWuQl5cHAPz1119Yt24d+vfvD1dXV8jIyODs2bP47bffsHv3bly5cqVGLa5Iqg4lGoTUAtu3b8fbt29x8OBB9O/fn1/u6uqK5s2b488//6REgxBCahAXFxe4uLgIlI0dOxYGBgbw9fXFsWPHMHDgQADA4MGDMWfOHKioqAjU1dfXR0BAALZs2YKJEydWafykZqChU0Ts8vLy4O/vj9atW0NRURGqqqowMTHB7NmzBer9/fffcHR0RJMmTSAnJ4cGDRpg+PDhePr0qVCbPB4PXl5eOHfuHCwtLaGoqIjGjRtj6dKlAID09HT88ssv0NLSgqKiIvr164eXL18KtOHv7w8ej4eEhASMHz8eDRo0gIKCAqysrHDp0iWR3htjDBs2bEDHjh2hqKiIunXrolu3bjh79qxQ3e3bt8PMzAyqqqpQUlJC8+bN4ebmhvfv34v6UYpN4W3ywl+1CjVo0ADS0tJQUlKq8pgIITUHnfe/k6TzfnF0dXUBABkZGfyyjh07CiQZhYYOHQoASEhIqJLYSM1DdzSI2E2YMAHbtm2Dt7c3OnTogPz8fCQlJSE6Olqg3vr166GhoYFx48ZBU1MT9+/fR2hoKM6ePYuEhARoaGgI1L958yaOHDkCb29vuLu7Y/fu3Zg9ezbk5OSwfft26Onpwd/fH48fP8bq1avh4eGB06dPC8Xn7u4OOTk5zJkzBxkZGVi/fj169OiBmJgYdO7cucT35u7ujp07d2LQoEEYOXIk8vPzERkZiV69emH//v1wcnICAISHh8PT0xMODg7w8vKCjIwMUlJSEBUVhbS0NNSvX7/E/aSnp+Pbt2+ifNxQVlaGnJxciXV69eqFgIAAjB8/HsuWLeMPnVq0aBGUlJQwffp0kfZFCCFFofO+5J33C+Xk5PD/bt68yf/8evToUeprX7x4AeD7j1KElAsjtUZ8fDwDwOLj4yt1P2pqamzs2LGl1svKyhIqi46OZgBYYGCgQDkAxuPx2JUrV/hl+fn5TFtbm/F4PDZp0iSB+j4+PgwAe/DgAb/Mz8+PAWBdunRhnz9/5pc/fPiQycjIMEtLS35ZcnIyA8D8/Pz4Zfv372cA2ObNmwX29eXLF9axY0emp6fHCgoKGGOMubi4MENDw1I/g+Lo6uoyACL9hYWFidTmunXrWP369QVeq6+vz+7fv1/uOMuiqo4/Qsh3Vdnn6Lwvmed9xv77DAr/2rRpw06ePFnq675+/cosLCxYnTp1BD7TykLXiJqJ7mgQsVNRUcHVq1fx9OlTNG/evNh6hcN1GGPIzMzE58+fYWJiAhUVFVy7dk2ovoWFhcAvT7KysjA3N8fhw4cxefJkgbo2NjYIDg5GUlISWrduLbBt6tSpkJGR4f+7VatWcHFxwe7du/Hu3TtoamoWGW9ERARUVVXRv39/pKWlCWxzdHSEv78/kpKS0KpVK6ioqCA1NRXnz59H165di/0MihMZGYnc3FyR6rZp00akejo6OmjTpg169eqFtm3b4smTJwgKCoKDgwNiYmLQpEmTMsdJCCEAnfcl9bwPAB4eHrC2tkZ6ejouXLiA8+fPCwybKs7UqVMRGxuLxYsXC32ehIiKEg0idiEhIXB3d0eLFi3QunVr2NjYoF+/fnB0dISU1H+PBcXFxWH+/Pk4f/48cnJyBNoo6iRY1MVLTU0NANCsWbMiy4saF2tgYCBUZmRkBOD7LB3FXXASExORkZFR4i3kN2/eoFWrVpg7dy7Onz8PW1tbaGtrw9raGr169cLw4cOhrKxc7OsLWVlZlVqnLPbv34+BAwfin3/+gb29Pb/c3t4e7du3x7x587B9+3ax7pMQUnvQeV/yzvuFmjdvzv8cBw8ejG3btmHIkCE4deoUevbsWeRr5s+fj7Vr18Lb2xtz5syplLhI7UCJBhG7/v3749mzZ4iKikJMTAxOnz6N0NBQ2Nra4tSpU5CRkcHz589hZ2cHdXV1LFy4EPr6+lBUVASPx8OwYcNQUFAg1K60tHSx+yxuG2NMbO+LMQZtbW2Eh4cXW8fY2BgAoK+vj/v37+PMmTM4c+YMYmJiMGbMGPj7+yM2Npb/MF5x3r17J/JYXRUVlVKnHVy1ahWUlZUFkgzg+69iBgYGtJYGIaRC6Lwveef94gwbNgy//PILwsLCikw0/P39sWjRIowcORIbN24s1z4IKUSJBqkU6urqcHNzg5ubGxhjmD17NoKCgnDs2DE4Ozvj4MGDyM7OxtGjR2FnZ8d/XW5uLtLT0ys1tgcPHqBdu3YCZffv3wcg/AvZj/T19XH8+HH+7CelkZOTQ9++fdG3b18AQFRUFBwcHBAcHIyQkJASX2tmZobnz5+Xug8ACAsLg5eXV4l1Xr9+jYKCAjDGwOPxBLZ9/fpV5IsbIYQUh877knXeL87nz59RUFBQ5Gfu7++PhQsXwtPTE6GhoULXC0LKihINIlbfvn1DZmYmVFVV+WU8Hg8dOnQA8N8t7cJfon7+5SkoKKjIX7XEKSQkBAMGDOCP13306BEOHDgACwsLaGlpFfs6Dw8PHDlyBPPmzUNwcLDQ9jdv3vBvr6elpQnNnmJqagqg6Nv6PxP3WF0jIyM8evQI+/btw6BBg/jlV69exaNHj/izphBCSFnReV8yz/s/xvajdevWgTEmNNvW77//joULF8Ld3R1//fWXwJA3QsqLEg0iVpmZmdDR0YGTkxM6dOgALS0tJCcnY8OGDVBXV+cvCtenTx8oKCjAw8MDEydOhLKyMqKjoxEXF1fqFIAVlZeXh65du2Lo0KH4+PEj1q1bBykpKaxYsaLE1xVObRgSEoK4uDj07dsXGhoaePHiBWJjY/H48WP+XPD29vZQVVWFjY0NmjRpgoyMDGzduhU8Hg+urq6lxijusbpz5szB8ePH4erqipiYGJiYmODp06dYv349ZGVlMX/+fLHujxBSe9B5XzLP+8OGDQOPx4O1tTWaNm2KjIwMREdH4/jx4zA0NMTUqVP5ddetWwc/Pz80bdoUPXv2xI4dOwTaatGiBSwsLMQaH6kluJnsinChKqaOy8/PZ7Nnz2ZmZmZMXV2dycrKMl1dXTZy5EiWlJQkUDc6OppZWFgwJSUlpq6uzgYPHsyePXvGdHV1ma2trUBdAMzT01Nof56enqyow/js2bNCUwAWTvF3584dNm7cOKapqcnk5OSYhYUFO3/+vMDri5rmsND27duZtbU1U1ZWZnJyckxXV5e5uLiwv//+m19n8+bNrGfPnqxBgwZMRkaGaWtrsz59+rDo6OjSP8RKcu/ePTZs2DDWrFkzJisry+rXr8+cnZ3ZzZs3q2T/NHUhIVWrqvocnfe/k7TzflhYGLO3t2c6OjpMRkaGKSkpsfbt2zN/f3/26dMngbqFn2lxf0X9fxA3ukbUTDzGxPjUFJFoN27cQMeOHREfH8+/nVubFI49TU5Ohp6eHtfh1Dq1/fgjpKpRn6PzfnVCx2vNRAPwCCGEEEIIIWJHiQYhhBBCCCFE7CjRIIQQQgghhIgdJRqk1vD39wdjjMbpEkJILUHnfUK4RYkGIYQQQgghROwo0SCEEEIIIYSIHSUapErY2dnVuFvX586dA4/H4/8tWbKE65Cq1N69ewXe/9atW7kOiRAiQei8T4yNjfmfVU07FohoKNEgpIK8vb0RHh4OR0dHoW0nTpyAlZUVlJSUoK6ujgEDBiApKUms+3/9+jXU1NTA4/EQEhIi1rY3btzIv0hkZGQIbDM3N0d4eDjmzp0r1n0SQoik4+K8HxgYiMGDB6NFixZi/eIeHR0NZ2dnNGvWDEpKSlBVVYWpqSlCQkKQl5dXoTiWLFmC8PBwGBgYiCVWUv3U4ToAQqo7CwsLuLm5CZUfOnQIAwYMgLGxMYKCgpCdnY1Vq1bB0tIS169fF9tFYsqUKfj69atY2vrRq1evMHv2bNStWxdZWVlC25s2bQo3NzecO3cOixcvFvv+CSFEUnFx3p87dy7U1NRgamoq9MNPRSQmJqKgoAAjR46Ejo4O8vPzcf78efj4+OD48eM4ceIEeDxeueLo168fACA0NBTPnj0TW8yk+qBEg5BK8PXrV0ycOBGNGzfGxYsXoaysDADo378/TExMMHfuXOzYsaPC+4mKisLevXsRGBiIWbNmVbi9H02ZMgV6enowMTFBRESEWNsmhJCaprLP+0+ePEHz5s0BAO3btxdbsjFhwgRMmDBBoGzixImYMGEC1q9fz1+xu7LjIDUTDZ0ifMePHwePx8P69euL3G5kZISWLVvy/33t2jV4eXlBX18fioqKUFFRQffu3REdHS3S/ng8Hry8vITKt27dCh6Ph3PnzgmUf/z4EbNmzULLli0hJycHTU1NDB8+HE+fPhX5PVaVmJgYvHjxAqNHj+ZfbACgdevW6Nu3Lw4cOIDs7OwK7SM7Oxvjx4+Ht7c3zM3NKxqygGPHjmHv3r3YsGEDpKWlxdo2IURy0HlffCr7vF/45b6q6OrqAoBQIlHVcZDqje5oED57e3toa2sjPDwc48ePF9gWHx+PxMRE+Pv788sOHDiAR48eYfjw4WjSpAlev36N0NBQ9OrVC9HR0bC1tRVbbB8/foSlpSVSUlIwatQotGnTBq9evcL69evRuXNnxMXF8U+KxcnJyUFOTo5I+5ORkYGKikq5471+/TqA77fXf2ZpaYlDhw4hISEBnTt3Lvc+/Pz8kJubi8WLF+P27dvlbudn2dnZmDBhAkaPHg0LCwts2rRJbG0TQiQLnff/Ux3O+5UpKysLeXl5yMzMxOXLlxEUFARNTU2YmZlxHRqpxijRIHzS0tIYMWIEVq5ciaSkJOjr6/O3hYeHg8fjwd3dnV/222+/ITAwUKCNsWPHwsjICIGBgWK94CxYsADJycm4cuUK2rZtyy/38vKCiYkJ/Pz8Sp31KCgoCAsXLhRpf7a2tkK/rJVFamoqAKBRo0ZC2xo3bixQpzxu3bqFVatWYcuWLVBTUyt3O0Xx8/NDdnY2zaZCSC1A5/3/SPp5v7JNnDgR27Zt4/+7c+fO2LBhA+rVq8dhVKS6o0SDCPDw8MDKlSsRHh6O33//HcD3cac7d+6ElZWVwC1TJSUl/n9nZ2cjLy8PPB4P5ubmiI2NFVtMjDFERkbCzs4ODRs2RFpamkAMXbp0wcmTJ0V6b9bW1iLts6Jf3gt/QZOTkxPaJi8vL1CnrAoKCuDt7Q0rKyt4eHiUP8gi3Lx5EyEhIfjzzz+hrq4u1rYJIZKJzvvfSfJ5vyr4+vrCzc0Nb9++xT///IMHDx7g48ePXIdFqjlKNIiAdu3aoW3btoiIiMDChQvB4/Fw8uRJvH37FosWLRKo++bNG8ydOxeHDx8WuAgAEJihoqLevXuH9+/f4/jx49DU1CyyjpRU6Y8bNW/evMrGlioqKgIA8vPzhbYVThdYWKes1q5di1u3buHWrVvljq8ohQmMhYVFkWOoCSE1E533xaMyz/tVwcjICEZGRgCAESNGYOHChbC3t8ft27dhaGjIcXSkuqJEgwjx8PDAjBkzcPHiRdjY2CA8PBzy8vIYMmQIv05BQQHs7e3x8OFD+Pj4wNTUFCoqKpCSkkJgYKDIDwYW5eepWhljAIDevXtjxowZ5W43KyuryGlaiyIrK1uhX/QLb52npqYKnaBfvHghUKcsPn78iN9++w3Dhg2DrKwsHj9+zN8PAKSlpeHx48do2LBhmS9oW7duRVxcHA4cOIAnT57wyzMzMwEAycnJUFVVRbNmzcocNyFEstF5X3LP+1xxc3ODv78/IiIiEBAQwHU4pJqiRIMIcXV1xaxZs7B9+3a0b98ehw4dgpOTk8BDcnfv3sWdO3fg5+cn8KAgAMyfP1+k/airq+PDhw9C5T/PJqKpqQlVVVVkZmaiZ8+eZX9D/2/58uVVNla38OG52NhYoZhjY2MhLy8PY2PjMrebnp6OzMxMhIeHIzw8XGh7QEAAAgICcOTIEf785aJKSUkBALi4uBS53dTUFPXr1xf6FZMQUv3ReV9yz/tcyc3NBfD9ukNIeVGiQYRoa2ujV69e2LNnD0xNTZGbmyv0LEDhlKeFvzoVOnfuHK5evSrSflq1aoXY2Fjk5OTwf31PT09HWFiYQD0pKSm4urpi3bp1OHjwIJydnYXaevv2LbS0tErcX1WO1bW1tUWjRo0QGhoKHx8f1K1bFwDw8OFDHDt2DAMGDBAY6ywqLS0t7NmzR6j83r178Pf3h5eXFxwcHNCpU6cytz1kyJAiL4Lr1q3DuXPnsG3bNrE/eE4IkQx03pfc835le/PmDRo0aCBUvnbtWgCQ2FmySPVAiQYpkoeHB06cOIHZs2ejQYMG6N27t8B2AwMDGBoaIigoCLm5udDX18fdu3exdetWGBsb4+7du6XuY+LEiXBzc0P37t3h7u6OjIwM/Pnnn9DV1cXr168F6gYEBODSpUsYMGAAhg4dii5dukBGRgbPnz9HVFQUOnbsWOrsI1U5VrdOnTpYs2YNBg4cCCsrK3h7eyMnJwchISGoV6+e0Era586dQ7du3eDp6Vni+1BUVMSgQYOEyjU0NAB8H2v983YvLy9s27YNZ8+ehZ2dXbFt/zg+90dHjx4FADg5OUFVVbXY1xNCqjc671dMZZ33C4WHh+P58+cAvicHeXl5/GdodHV1BWYH8/f3x8KFCxEWFlbqM3eWlpZo06YNzMzM0LBhQ7x79w5HjhzB5cuX0bVrV7i6upY7DkIo0SBFcnZ2Rr169fDp0yeMGjUKdeoIHip16tTBsWPHMH36dGzZsgX5+fkwNTXFkSNHEBYWJtIFx9XVFampqVi3bh2mTZuG5s2bY8GCBZCSkhL6dUxFRQWXLl3CihUrsHv3bhw8eBB16tRB48aNYW1tjdGjR4v1/YuDi4sLjh07hj/++AMzZ86EnJwc7OzssGTJEqELX+FzEJUxfjczMxM8Hg86Ojpib5sQUnPQeb/iKvO8v2XLFsTExAiUFQ5Zs7W1FfiCX5a2x48fj8OHD2Pt2rX48OEDFBQUYGRkhODgYIwfP17oOChLHISAkVojPj6eAWDx8fFch1IjnD17lgFga9asYe/evWM5OTnlbsvHx4epqamx9+/fizFCxr59+8bq16/PPDw8xNouY4zl5+ezd+/esYMHDzIALCwsrMT6dPwRUrWoz4lfdTjvM8ZYhw4dWNeuXcXeblmlp6ezd+/eMUtLS6arq1tiXTpea6bS54YjhJRo0qRJ0NTUxKpVq8rdxj///IN58+aJfe2K+Ph45OTkVMqMIYcPH4ampmaRY6cJIaQmk+Tz/tu3b3H79m2sWLFCrO2Wh7W1NTQ1NXH58mWuQyEcoaFThJRTu3btcOrUKf6/f1xRt6zu3bsnjpCEmJmZVdoCUV27dhV4/23atKmU/RBCiKSoDud9LS0tfPv2rVLaLqvQ0FD+9MIKCgocR0O4QIkGIeWkpqZWoWkXqzstLa1a/f4JIbVPbT/vl1WXLl24DoFwjIZOEUIIIYQQQsSOEg1CCCGEEEKI2FGiQQghhBBCCBE7SjQIIYQQQgghYkeJBiGEEEIIIUTsKNEghBBCCCGEiB1Nb1sLJSYmch0CqYXouCOEG9T3SHVAx2nNRIlGLaKhoQFFRUW4ublxHQqppRQVFaGhocF1GITUCnTOJ9UNXSNqHh5jjHEdBKk6KSkpSEtL4zqMcgsMDMSxY8ewd+9eaGtrcx1OlVi2bBkOHjyIPXv2oGHDhlyHUyEaGhpo2rQp12EQUmtU93N+cVJTUzF48GAMGDAAM2bM4DqcKvHq1SsMGjQIjo6OmD17NtfhVAq6RtQ8lGiQaiM2NhZWVlYIDg7GlClTuA6nymRmZsLIyAgmJiY4duwYeDwe1yERQghnGGPo27cvEhIScP/+fSgrK3MdUpUJCQnBtGnTcOnSJVhYWHAdDiGlokSDVAtfvnyBqakp5OXlceXKFUhLS3MdUpU6dOgQnJ2d8ffff2Po0KFch0MIIZz5+++/MXz4cBw6dAhOTk5ch1Olvn37hs6dOyM/Px83btyAjIwM1yERUiJKNEi1EBgYiPnz5+P69evo0KED1+FwYsCAAbh8+TISExOhpqbGdTiEEFLl0tPTYWBgAGtra+zbt4/rcDhx48YNmJmZISAgoMYOoSI1ByUaROI9efIExsbGmDBhApYvX851OJxJTU2FoaEhhg8fjk2bNnEdDiGEVDlvb2/8/fffSExMRKNGjbgOhzPTp0/H+vXrkZCQgBYtWnAdDiHFokSDSDTGGOzt7ZGUlIR79+5BSUmJ65A4tXbtWkyaNAkXLlyAtbU11+EQQkiVuXDhArp27Yq1a9diwoQJXIfDqaysLLRp0watW7fGP//8Q8/uEYlFiQaRaBEREXB3d8exY8fQt29frsPh3Ldv32BlZYXMzEzcvHkTsrKyXIdECCGVLj8/Hx06dEC9evVw6dKlWvecXlGOHTuGfv36ISIiAq6urlyHQ0iRaGVwIrHev38PHx8fDBkyhJKM/yctLY3Nmzfj4cOHCAoK4jocQgipEkFBQUhKSsLmzZspyfh/Dg4OGDx4MHx8fPDhwweuwyGkSJRoEIk1c+ZMfPnyBatWreI6FInStm1bzJgxA4sWLcKjR4+4DocQQirVo0ePEBAQgBkzZqBt27ZchyNRVq1ahc+fP2PmzJlch0JIkWjoFJFI586dQ7du3bBp0yZ4e3tzHY7EycnJgbGxMfT09HDmzBkan0sIqZEYY+jRoweeP3+OhIQEKCgocB2SxNm0aRPGjh2Lc+fOwdbWlutwCBFAiQaROHl5eWjXrh00NTVx/vx5SEnRjbeinDx5Er1798bWrVvh6enJdTiEECJ2W7duxciRI/HPP//A3t6e63AkUkFBAbp27Yq0tDTcvn0bcnJyXIdECB99gyMSJzAwEMnJydi8eTMlGSWwt7fHiBEjMH36dKSlpXEdDiGEiNW7d+8wffp0uLq6UpJRAikpKWzatAlPnz5FYGAg1+EQIoC+xRGJkpiYiMDAQMyaNQtGRkZchyPxgoODUVBQgOnTp3MdCiGEiFXheW3lypUcRyL52rRpA19fXwQGBuLBgwdch0MIHw2dIhKjoKAAdnZ2eP36Ne7cuQN5eXmuQ6oWtmzZgtGjR+P06dPo0aMH1+EQQkiFnT59Gr169cKWLVswatQorsOpFnJzc9G2bVs0bNgQZ8+epREBRCJQokEkRmhoKH799VecOXMG3bt35zqcaoMxBjs7O7x8+RJ37tyhhyUJIdVabm4uTExM0LhxY5w9e5YmuyiDM2fOoGfPnggNDcUvv/zCdTiE0NApIhnevHmDmTNnwtPTk5KMMuLxeNi0aRNSUlIQEBDAdTiEEFIhixYtwr///otNmzZRklFGPXr0gIeHB2bOnIm3b99yHQ4hlGgQyeDj4wNpaWksX76c61CqJQMDA8yZMwdLly7FvXv3uA6HEELKJSEhAUFBQZg7dy5at27NdTjV0ooVKyAlJQUfHx+uQyGEhk4R7p04cQJ9+vTBtm3b4OHhwXU41VZ+fj7atWuH+vXr48KFCzQ+lxBSrRQUFMDGxgYfPnzArVu3aJrWCti2bRu8vLxw4sQJ9O7dm+twSC1GiQbhVOHCc82bN8epU6foNnkFxcTEwM7ODhs3bsSYMWO4DocQQkS2ceNGjBs3DjExMejatSvX4VRrjDH07NkTycnJSEhIgKKiItchkVqKEg3CqVmzZmHVqlW4e/cu9PX1uQ6nRvjll1+wb98+JCYmQkdHh+twCCGkVK9evYKhoSEGDRqE0NBQrsOpEZKSkmBiYoKpU6diyZIlXIdDailKNAhnbt++jY4dO2LhwoWYN28e1+HUGB8+fICBgQG6deuGXbt2cR0OIYSUasiQIYiJiUFiYiLU1dW5DqfGWLRoEfz9/XHjxg20bduW63BILUSJBuHEt2/fYGlpiezsbNy4cQOysrJch1SjREZGws3NDUePHoWDgwPX4RBCSLGOHj0KR0dHREZGYsSIEVyHU6N8/vwZHTp0gLKyMi5dugRpaWmuQyK1DCUahBNr1qzB5MmTcfHiRVhZWXEdTo3DGMP//vc/PHjwAPfu3UPdunW5DokQQoRkZWWhTZs2MDAwwIkTJ+g5vUpw8eJF2NjYYM2aNZg4cSLX4ZBahhINUuVevHgBQ0NDuLq6YuPGjVyHU2M9efIExsbGGD9+PFasWMF1OIQQImTatGnYuHEjEhIS0Lx5c67DqbHGjBmDnTt3IjExEY0aNeI6HFKLUKJBqpyLiwuuXLmCxMREqKqqch1OjbZkyRLMmzcP169fh6mpKdfhEEIIX3x8PMzNzbF48WLMmjWL63BqtPT0dBgaGsLS0hL79+/nOhxSi1CiQarUwYMH4eLigl27dmHIkCFch1PjffnyBR07doSsrCyuXLmCOnXqcB0SIYTg69ev6Ny5M75+/Yq4uDjIyMhwHVKNt2vXLgwbNgwHDx5E//79uQ6H1BKUaJAq8+nTJxgZGaFdu3Y4evQojcWtIleuXIGlpSVWrlyJqVOnch0OIYQgODgY06dPR2xsLDp37sx1OLUCYwwODg64e/cu7t+/D2VlZa5DIrUAJRqkykyePBlbtmzBvXv3oKenx3U4tcqECROwbds23L9/H02bNuU6HEJILZaSkgIjIyN4eXlh7dq1XIdTqzx79gxt2rTB6NGjsWrVKq7DIbUAJRqkSly7dg1dunTBsmXLMH36dK7DqXU+fvwIQ0NDdOrUCYcOHaK7SYQQTjDG4OTkhBs3biAxMRH16tXjOqRaZ/ny5fD19cXVq1dhZmbGdTikhqNEg1S6L1++wMzMDFJSUrh27Ro9J8CR/fv3Y+DAgdi7dy8GDhzIdTiEkFpo7969GDx4MPbv3w8XFxeuw6mVvn79yk8wrl+/TtdkUqko0SCVbtmyZZg9ezauXbuGjh07ch1OrcUYg7OzM65fv47ExESoqKhwHRIhpBYpvLNqbm6OgwcPch1OrRYXF4fOnTtj6dKlmDFjBtfhkBqMEg1SqZKTk9GmTRuMGTMGwcHBXIdT6/37778wMjKCh4cH1q1bx3U4hJBaZPz48QgPD8f9+/fRpEkTrsOp9aZOnYo///yTnpsklYoSDVJpGGPo27cv7t27h/v379Pq1BJi1apV8PHxwaVLl2BhYcF1OISQWiA2NhZWVlYICQnB5MmTuQ6HAMjMzISRkRFMTExw7NgxenaPVApKNEil+fvvvzF8+HAcPnwYjo6OXIdD/t+3b9/QpUsX5OXl4caNGzR/PSGkUn358gWmpqZQUFBAbGwspKWluQ6J/L/Dhw+jf//++PvvvzF06FCuwyE1ECUapFKkp6fDwMAANjY22Lt3L9fhkJ/cvHkTZmZmWLRoEWbPns11OISQGiwwMBDz589HXFwc2rdvz3U45CcDBw7EpUuXkJiYCDU1Na7DITWMFNcBkJpp1qxZyMvLw+rVq7kOhRShQ4cOmDp1KhYuXIgnT55wHQ4hpIZ68uQJfv/9d/j4+FCSIaFWr16NnJwc+tGJVAq6o0HE7sKFC+jatSvWrVuH8ePHcx0OKUZ2djbatGmDVq1a4Z9//qHxuYQQsWKMwd7eHklJSbh37x6UlJS4DokUY926dZg4cSIuXLgAa2trrsMhNQglGkSs8vPz0aFDB6ioqODSpUuQkqKbZpIsKioKDg4OiIiIgKurK9fhEEJqkIiICLi7uyMqKgp9+vThOhxSgm/fvsHKygqZmZm4efMmZGVluQ6J1BD0LZCIVVBQEJKSkrB582ZKMqqBvn37YsiQIfDx8cGHDx+4DocQUkO8f/8ePj4+GDp0KCUZ1YC0tDQ2b96MR48eISgoiOtwSA1C3wSJ2Dx69AgBAQGYMWMGTExMuA6HiGjVqlX4/PkzZs6cyXUohJAaYubMmfj69StCQkK4DoWIqG3btpg+fToWLVqER48ecR0OqSFo6BQRC8YYevTogefPnyMhIQEKCgpch0TKYNOmTRg7dizOnTsHW1tbrsMhhFRj586dQ7du3bBp0yZ4e3tzHQ4pg5ycHBgbG0NPTw9nzpyhZ/dIhVGiQcRi69atGDlyJE6ePIlevXpxHQ4po4KCAnTt2hVpaWm4ffs25OTkuA6JEFIN5eXloV27dtDU1MT58+dpCG01dPLkSfTu3Rtbt26Fp6cn1+GQao7OAKTC3r17h+nTp8PV1ZWSjGpKSkoKmzZtwtOnTxEYGMh1OISQaiowMBDJycn0nF41Zm9vjxEjRmD69OlIS0vjOhxSzdFZgFTY9OnTAQArV67kOBJSEW3atIGvry8CAwPx4MEDrsMhhFQziYmJCAwMxKxZs2BkZMR1OKQCgoODUVBQwL++E1JeNHSKVMjp06fRq1cvbNmyBaNGjeI6HFJBubm5aNu2LRo2bIizZ8/SL5KEEJEUFBTAzs4Or1+/xp07dyAvL891SKSCtmzZgtGjR+P06dPo0aMH1+GQaooSDVJuubm5MDExQePGjXH27Fl6aKyGOHPmDHr27InQ0FD88ssvXIdDCKkGQkND8euvv+LMmTPo3r071+EQMWCMwc7ODi9fvsSdO3dokhdSLvRzJSm3RYsW4d9//8WmTZsoyahBevToAQ8PD8ycORNv377lOhxCiIR78+YNZs6cCU9PT0oyahAej4dNmzYhJSUFAQEBXIdDqilKNEi5JCQkICgoCHPnzkXr1q25DoeI2YoVKyAlJQUfHx+uQyGESDgfHx9IS0tj+fLlXIdCxMzAwABz5szB0qVLce/ePa7DIdUQDZ0iZVZQUABra2ukp6fj1q1bNBVqDbVt2zZ4eXnhxIkT6N27N9fhEEIk0IkTJ9CnTx9s27YNHh4eXIdDKkF+fj7atWuH+vXr48KFC/TsHikTSjRImW3YsAHjx49HTEwMunbtynU4pJIwxtCzZ08kJycjISEBioqKXIdECJEg2dnZMDY2RosWLXDq1CkaQluDxcTEwM7ODhs2bMDYsWO5DodUI5RokDJ5+fIlDA0NMWTIEPz5559ch0MqWVJSEkxMTDBlyhQsXbqU63AIIRLE19cXa9aswd27d9GyZUuuwyGVbPTo0di7dy8SExOho6PDdTikmqBEg5TJ4MGDcf78eTx48ABqampch0OqQEBAAPz8/BAfH4927dpxHQ4hRALcunULnTp1wu+//465c+dyHQ6pAh8+fIChoSFsbW2xe/dursMh1QQlGkRkR48ehaOjI3bs2IHhw4dzHQ6pIp8/f4apqSmUlJRw+fJlSEtLcx0SIYRD3759g4WFBXJycnDjxg3IyspyHRKpIjt27ICrqyuOHj0KBwcHrsMh1QAlGkQkWVlZaNOmDQwNDXH8+HEai1vLXLp0CdbW1lizZg0mTpzIdTiEEA6tWbMGkydPxqVLl2Bpacl1OKQKMcbwv//9Dw8ePMC9e/dQt25drkMiEo4SDSKSadOmYePGjbh37x6aNWvGdTiEA2PHjsWOHTuQmJiIRo0acR0OIYQDL168gKGhIdzc3LBhwwauwyEcePr0KYyNjTFu3DisWLGC63CIhKNEg5QqPj4e5ubmCAwMhK+vL9fhEI5kZGTA0NAQFhYW2L9/P9fhEEI44OLigitXriAxMRGqqqpch0M4snTpUsydOxfXr1+Hqakp1+EQCUaTIRMBWVlZcHNzw6dPnwAAX79+hbe3N4yNjWnxtlpOVVUVq1atwoEDB3Do0CF+eVhYGCIiIjiMjBBSGSIiIhAWFsb/98GDB3Hw4EGsXr2akoxabtq0aTA2Noa3tze+fv0KAPj06RPc3NyQlZXFcXREklCiQQTcunULkZGRePHiBYDvY3Fv3ryJP//8EzIyMhxHR7g2ePBg9O3bFxMnTkRmZiYAICoqCtu2beM4MkKIuG3duhXHjx8H8P1L5MSJE+Hg4IBBgwZxHBnhmoyMDDZv3owbN25g7dq1AIB///0XkZGRuH37NsfREUlCiQYR8OrVKwCAjo4OUlJSMH/+fEyYMAHm5uYcR0YkAY/Hw7p16/Dhwwf89ttvAL4fK4XHDSGk5nj16hV/vYTffvsN6enpWLduHU0GQgAAnTt3xvjx4/Hbb78hJSWFf6zQ9YD8iBINIuDVq1eQk5ODiooKJkyYAFVVVQQEBHAdFpEgenp6+P3337FmzRpcv36dEg1CaqjCROPatWtYu3Yt/vjjD+jq6nIdFpEgixcvhoqKCiZOnAhVVVXIycnR9YAIoESDCHj58iV0dHSwf/9+HD16FGvWrIGioiJWr16NVq1aISUlhesQCUemT5+Ovn374uHDh5gyZQrat28Pb29vaGlp4cOHD8jLy+M6REKImOTm5iI9PR2amprw9vZGhw4dMHnyZDx8+BB9+/bF9OnTuQ6RcCQlJQWtWrXC6tWroaioiDVr1uDIkSM4cOAAtLW18fLlS65DJBKEEg0i4NWrV9DS0sLkyZPRv39/aGtrw8zMDFOnTkWPHj3QsGFDrkMkHBkwYAAePnwIExMT+Pv7Y/Xq1bhz5w6uXLkCAHj9+jXHERJCxKWwP1+5cgV3797F6tWr4efnBxMTEzx69AgDBgzgOELClYYNG6JHjx6YOnUqzMzMoKOjAycnJ0yaNAlaWlp0R4MIoESDCHj16hXevXuHT58+QUFBAZaWlqhTpw6uXr2KDRs2oE6dOlyHSDhiZWWFhIQEzJ07F8uXL4ebmxscHBz4M07RxYWQmqOwP4eHh8PBwQGurq5YsWIF5s2bh4SEBFhZWXEcIeFKnTp1sGHDBly9ehXS0tKwtLSEoqIiPn36hLS0NLoWEAGUaBABT548QXJyMhhjOHHiBNavX48rV67AzMyM69CIBFBQUIC/vz8SEhJgaGiII0eOoKCgAADodjkhNciP/fnIkSMwNDREQkIC/Pz8IC8vz2FkRFKYmZnh6tWrWL9+PU6cOAHGGJKTk/HkyROuQyMShBINIuDff/8F8H0a04cPH2LcuHGQlpbmOCoiaVq2bImoqCjs27cPysrKAICYmBiOoyKEiEthf1ZWVsa+ffsQFRWFli1bchwVkTTS0tIYN24cHj58yJ/2mJ7lJD+ilcGJgLFjx6J79+4YMmQI16GQaiIrKwtjxozBhAkTYGlpyXU4hBAxuHz5MtatW4fNmzdDSUmJ63BINbF7925ER0dj48aNXIdCJAQlGoQQQgghhBCxo6FThBBCCCGEELGr0imEUlJSkJaWVpW7JIRPQ0MDTZs25ToM6geEU5LQD6gPEK5VZT+g451UJ+LuG1WWaKSkpMDQ0BA5OTlVtUtCBCgqKiIxMZHTL1nUDwjXuO4H1AeIJKiqfkDHO6luxN03qizRSEtLQ05ODiIiImBoaFhVuyUEAJCYmAg3NzekpaVxmmhQPyBckoR+QH2AcK0q+wEd76Q6qYy+UeWrrxkaGsLU1LSqd0uIRKF+QGo76gOkNqHjndRW9DA4IYQQQgghROwo0SCEEEIIIYSIHSUahBBCCCGEELGjRIMQQgghhBAidpRolBGPx4OXl1e5X29nZwc9PT2xxUOIuNCxTQj1A0LKivoMKQklGrXMp0+fMGXKFDRq1Ajy8vIwNDTE6tWrwRir0jYIETdxH5cnTpwAj8cDj8fDrVu3Sqz7+vVrqKmpgcfjISQkpMS6jDFYWlqCx+PB2dm5XLERUhzqB4SUDX0vqlxVPr1tdZebmwtpaelyv/7kyZOcHXhfvnyBvb094uPjMWHCBBgbG+PUqVOYMmUKUlJSsHz58ippg0im2n5s/ygnJwfjxo1D3bp1kZWVVWr9KVOm4OvXryK1vXHjRty9e7dM8ZCqQ/3gP9QPiChqe5+h70WlYFUkPj6eAWDx8fFVtUvykw0bNjAAbNWqVQLl7u7uTEpKit2/f79K2uCCpBx/khJHTSPu43LmzJlMR0eH+fj4MADs5s2bxdY9duwYk5KSYkuXLmUAWHBwcLF1X758yVRUVNiyZcsYANa/f/8yxVVRknD8SUIMNRX1A9FU5TFIx7tkq83fi4pSGccrDZ0C8OzZMwwcOBD16tVDvXr10L9/fyQnJ0NPTw92dnYCdX8ei/js2TPweDz4+/vj6NGjMDMzg7y8PHR0dDBz5kyhX3e4HIsYGRkJRUVFeHt7C5RPmzYNBQUF2LlzZ5W0QaoOHdtlPy5v376N4OBgBAcHo169eiXWzc7Oxvjx4+Ht7Q1zc/NS2548eTKaNm2KqVOnihwPqTjqB9QPSNlQn6HvReJS64dOvX//HjY2Nnjz5g3Gjh0LQ0NDXLhwAd26dUN2drbI7URFRWH9+vUYO3YsRo0ahUOHDmH58uVQU1PD3LlzyxVbWlqayHVVVFQgIyNT7PaCggLEx8fD1NQU8vLyAtvatWsHRUVFXL9+vcR9iKMNUnXo2C77cVlQUABvb29069YNQ4cOhb+/f4n1/fz8kJubi8WLF+P27dsl1j127Bj27duHCxcuoE6dWn/qrTLUD6gfkLKhPkPfi8Sp1vfypUuX4sWLF4iMjMSIESMAAOPGjYOvry+WLVsmcjv37t3DvXv3+Fn52LFjYWJigjVr1pS7Q2lqaopc9+zZs0K/MvwoPT0dubm5aNSokdA2Ho+HRo0aITU1tcR9iKMNUnXo2C77cbl+/Xrcvn1bpLHjt27dwqpVq7BlyxaoqamVWDc7OxsTJkyAl5cXrKysRIqFiAf1A+oHpGyoz9D3InGq9YnGkSNH0KhRIwwfPlygfMaMGWXqUM7OzgK3/ng8Hrp164a1a9ciKysLdevWLXNsp06dErluu3btStyek5MDAJCTkytyu7y8PL9OZbZBqg4d29+JelympqZi3rx5mDVrFvT19UusW/iLr5WVFTw8PEpte8GCBcjMzERQUFCpdYl4UT/4jvoBERX1me/oe5F41PpEIzk5mT/F3o+0tLSgqqoqcjvNmzcXKqtfvz6A77chy9OhevbsWebXFEdRUREAkJ+fX+T2vLw8fp3KbINUHTq2vxP1uJw0aRI0NTUxZ86cUuuuXbsWt27dKnW6TwC4efMmVq1ahY0bN0JDQ6PU+kS8qB98R/2AiIr6zHf0vUg8an2iIS4lTe3Gyjlt2+vXr0Wuq66uDllZ2WK3q6mpQUFBochbeIwxvHz5EjY2NiXuQxxtkOqnNhzb0dHROHDgANauXYsXL17wyz98+AAA+Pfff1G3bl20aNECnz59wm+//YZhw4ZBVlYWjx8/BgD+/tPS0vD48WM0bNgQioqKmDJlCvT19WFra8uvWyg7OxuPHz+Gmpoa/wJMJBP1A+oHpGxqQ5+h70Wlq/WJhp6eHh49egTGmED2/vbtW2RkZHAXGAAdHR2R65Y2FlFKSgodO3bEjRs3kJ+fL3Cb786dO8jOzkanTp1K3Ic42iBVh45t0Y/LlJQUAMDEiROL3O7k5AQAyMzMRHp6OjIzMxEeHo7w8HChugEBAQgICMCRI0fQr18/pKSk4Pnz52jVqpVQ3dOnT0NfXx/Tp0+nudYrCfUD6gekbKjP0Pcicar1iYajoyOWL1+OnTt38h96AiARJztxjkUEgBEjRuDixYvYtGkTJk+ezC9fuXIlpKSkhMZjPnjwADIyMmjRokW52yDcoWNb9GO7W7du2LNnj1C7u3fvxp49e7Bs2TLo6elBQUEBWlpaRda9d+8e/P394eXlBQcHB/7FZcOGDUXO1DJ48GCYmZnB19cXrVu3LvU9kvKhfkD9gJQN9Rn6XiROtT7RmDVrFnbs2AEvLy9cvXoVBgYGuHDhAi5fvgwNDQ2hMYpVSZxjEQFg9OjR2Lp1K6ZPn47k5GT+6pW7du2Cj48PjIyMBOobGhpCV1cXz549K3cbhDt0bIt+bOvq6kJXV1eo3YSEBH687du3B/B9TO6gQYOE6haOO2/Xrp3A9j59+hQbd8OGDYtsi4gP9QPqB6RsqM/Q9yJxqvUL9mloaODixYvo168f/vrrL8yaNQvZ2dk4e/YsGGNQUFDgOkSxkZGRwcmTJzFu3Djs2rUL48ePx61btxAcHCzyLxXiaINUDTq26bgk1A+oH5CybQELWAAAIWBJREFUoj5D34vESmxrjJeiMpY1r0xpaWkMABszZgzXoRAxkJTjTxLioGO79pKE408SYmCM+kFtVpXHoKQc7+JAfabmq4zjtdbf0QCA3NxcobIlS5YAAHr16lXV4RAiNnRsE0L9gJCyoj5DxKXWP6MBAPb29mjRogU6duyIb9++4fTp0zh27BisrKzg7OzMdXiElBsd24RQPyCkrKjPEHGhRAPfZ1iIiIjAgQMHkJubiyZNmmDGjBnw8/MrcR5oQiQdHduEUD8gpKyozxBxoUQDgK+vL3x9fbkOgxCxo2ObEOoHhJQV9RkiLvSMBiGEEEIIIUTsKNEghBBCCCGEiB0lGhLo2bNn4PF48Pf35zoUQjhBfYAQ6gekdqHjvWaiRINUupiYGEyYMAEmJiaoV68eNDU1YWVlhZ07d4IxxnV4hFSZFy9ewNvbG02bNoWcnBy0tbXRp08f3L9/n+vQCKl0t2/fxpAhQ6Cvrw9lZWUoKyvD2NgYCxcuxMePH7kOjxCxKut3n0+fPmH69Olo1qwZZGVl0ahRI4wfPx4fPnzgIHrxoYfBSaWbNWsWXrx4gQEDBsDExARZWVnYtWsXRowYgejoaPz5559ch0hIpbt58yZ69uwJZWVljBo1Ck2bNsWHDx8QFxeHd+/ecR0eIZXu6dOn+PjxI4YPH46GDRsCAK5fv46AgADs27cP165dg7y8PMdREiIeZfnuk5OTg65du+Lu3bvw8vKCubk5Hjx4gPXr1+PChQu4cuUKlJSUOHw35UeJBql0S5cuhbW1tcCUeFOmTEG3bt0QGhqKKVOmwNjYmMMICalceXl5GDJkCJo2bYqYmBjUq1eP65AIqXIuLi5wcXERKBs7diwMDAzg6+uLY8eOYeDAgRxFR4h4leW7z6ZNm3D79m0sXbpUYLYvCwsLDB06FMuXL4efn1+VvwdxqHFDp/Ly8uDv74/WrVtDUVERqqqqMDExwezZswXq/f3333B0dESTJk0gJyeHBg0aYPjw4Xj69KlQmzweD15eXjh37hwsLS2hqKiIxo0bY+nSpQCA9PR0/PLLL9DS0oKioiL69euHly9fCrTh7+8PHo+HhIQEjB8/Hg0aNICCggKsrKxw6dIlkd4bYwwbNmxAx44doaioiLp166Jbt244e/asUN3t27fDzMwMqqqqUFJSQvPmzeHm5ob379+L+lGKja2trdC821JSUhg0aBAAICEhocpjqsmoD3wnSX1g9+7dePz4MX7//XfUq1cP+fn5yM/Pr/I4ahPqB99JUj8ojq6uLgAgIyOD20CqMTrev5Ok470s333OnTsHAPDw8BCoP3jwYMjLy2Pbtm2VG2wlqnF3NCZMmIBt27bB29sbHTp0QH5+PpKSkhAdHS1Qb/369dDQ0MC4ceOgqamJ+/fvIzQ0FGfPnkVCQgI0NDQE6t+8eRNHjhyBt7c33N3dsXv3bsyePRtycnLYvn079PT04O/vj8ePH2P16tXw8PDA6dOnheJzd3eHnJwc5syZg4yMDKxfvx49evRATEwMOnfuXOJ7c3d3x86dOzFo0CCMHDkS+fn5iIyMRK9evbB//344OTkBAMLDw+Hp6QkHBwd4eXlBRkYGKSkpiIqKQlpaGurXr1/iftLT0/Ht2zdRPm4oKytDTk5OpLo/e/HiBQCgQYMG5Xo9KRr1AcnrA1FRUQAAVVVVdO3aFRcvXgRjDO3bt8eSJUvQu3dvkfZFREf9QPL6QaGcnBz+382bN/mfX48ePUR6PRFGx7vkHu8/K+q7T+EPT4qKigJ1eTweFBQUkJycjLS0NKH/P9UCqyLx8fEMAIuPj6/U/aipqbGxY8eWWi8rK0uoLDo6mgFggYGBAuUAGI/HY1euXOGX5efnM21tbcbj8dikSZME6vv4+DAA7MGDB/wyPz8/BoB16dKFff78mV/+8OFDJiMjwywtLfllycnJDADz8/Pjl+3fv58BYJs3bxbY15cvX1jHjh2Znp4eKygoYIwx5uLiwgwNDUv9DIqjq6vLAIj0FxYWVq59pKamMlVVVda8eXOBz6OyVNXxJwlxUB+QvD7Qvn17BoBpamqyfv36sV27drENGzawxo0bMykpKXbq1Klyx1oWktAP6FpQe/tBocLPoPCvTZs27OTJk+WOs6yqsh/Q8U7H+4+K++5T+NkdOnRIoP6tW7f4+6yux2uNu6OhoqKCq1ev4unTp2jevHmx9QofqmGMITMzE58/f4aJiQlUVFRw7do1ofoWFhYCWbesrCzMzc1x+PBhTJ48WaCujY0NgoODkZSUhNatWwtsmzp1KmRkZPj/btWqFVxcXLB79268e/cOmpqaRcYbEREBVVVV9O/fH2lpaQLbHB0d4e/vj6SkJLRq1QoqKipITU3F+fPn0bVr12I/g+JERkYiNzdXpLpt2rQpc/s5OTlwcXFBVlYWDh8+LPB5kIqjPiB5fSAzMxMAYGBggMOHD4PH4wEAevToASMjI8ybNw89e/Ysc5ykeNQPJK8fFPLw8IC1tTXS09Nx4cIFnD9/noZNVRAd75J7vBcq6bvP2LFjsXHjRowbNw5fvnxBp06d8PDhQ0yZMgUyMjL48uULcnJyyrxPSVDjEo2QkBC4u7ujRYsWaN26NWxsbNCvXz84OjpCSuq/R1Li4uIwf/58nD9/Xuh/XlEnvKI6rpqaGgCgWbNmRZYXNSbQwMBAqMzIyAjA9xk5iutsiYmJyMjIKHGY0Zs3b9CqVSvMnTsX58+fh62tLbS1tWFtbY1evXph+PDhUFZWLvb1haysrEqtU155eXlwdnZGXFwctm3bBhsbm0rbV21FfUDy+oCCggKA71+wCpMMANDX14elpSUuXLiA7OzsajuriCSifiB5/aBQ8+bN+Z/j4MGDsW3bNgwZMgSnTp2ihLuc6HiX3OMdKP27T6tWrXDkyBGMHj2a/wyHlJQURo8eDUNDQxw4cKDaTiJS4xKN/v3749mzZ4iKikJMTAxOnz6N0NBQ2Nra4tSpU5CRkcHz589hZ2cHdXV1LFy4EPr6+lBUVASPx8OwYcNQUFAg1O7PD/SIso2JcY0Ixhi0tbURHh5ebJ3C2Qv09fVx//59nDlzBmfOnEFMTAzGjBkDf39/xMbG8h+8K867d+9EHqeooqLC/xJVmsKOdvr0aWzZsgVubm4ivY6UDfUByesDjRs3RkJCArS1tYW26ejogDGGjx8/UqIhRtQPJK8fFGfYsGH45ZdfEBYWRolGOdHxLrnHu6jffXr06IEnT57g3r17yMjIgL6+PrS1tdGlSxdIS0ujZcuWIu1P0tS4RAMA1NXV4ebmBjc3NzDGMHv2bAQFBeHYsWNwdnbGwYMHkZ2djaNHj8LOzo7/utzcXKSnp1dqbA8ePEC7du0EygoX6/r514Ef6evr4/jx4/yZH0ojJyeHvn37om/fvgC+P4zq4OCA4OBghISElPhaMzMzPH/+vNR9AEBYWBi8vLxKrVfY0U6ePInNmzdj5MiRIrVPyof6gGT1AXNzc5w4cYL/EOCPXrx4gTp16kBdXV2k/RHRUT+QrH5QnM+fP6OgoKDSP/Oajo53yTvey/rdR0pKCiYmJvx/v3v3DvHx8bC1tRXp/UuiGpVofPv2DZmZmVBVVeWX8Xg8dOjQAcB/t/MKs/Cfs+6goKAiM3pxCgkJwYABA/hj8x49eoQDBw7AwsICWlpaxb7Ow8MDR44cwbx58xAcHCy0/c2bN/xbi0XNTGBqagqg6FuaPxP3OMX8/Hy4uLjg5MmT2LhxI0aPHi1S26TsqA9IZh8YMWIEAgICEBoaitGjR6NOne+n3tu3byM2NhY9evSghcrEiPqBZPaDH2P70bp168AYK3X2IVI0Ot4l83iv6HcfxhimTZuGr1+/Ys6cOWV6rSSpUYlGZmYmdHR04OTkhA4dOkBLSwvJycnYsGED1NXV4eDgAADo06cPFBQU4OHhgYkTJ0JZWRnR0dGIi4srdfqzisrLy0PXrl0xdOhQfPz4EevWrYOUlBRWrFhR4usKp3ULCQlBXFwc+vbtCw0NDbx48QKxsbF4/Pgxfx5se3t7qKqqwsbGBk2aNEFGRga2bt0KHo8HV1fXUmMU9zhFV1dXnDhxAj179oSioiIiIiIEtltaWpb48BoRHfUByewDrVu3hq+vLwIDA2Fra4thw4bhw4cPWL16NRQVFbF8+XKx7q+2o34gmf1g2LBh4PF4sLa2RtOmTZGRkYHo6GgcP34choaGmDp1qlj3V1vQ8S6Zx3tZv/t06tQJ3bp1g76+PrKzs7F7925cuXIF/v7+1XtIodjmrypFVUzxlp+fz2bPns3MzMyYuro6k5WVZbq6umzkyJEsKSlJoG50dDSzsLBgSkpKTF1dnQ0ePJg9e/aM6erqMltbW4G6AJinp6fQ/jw9PVlRH+HZs2eFpj8rnOLtzp07bNy4cUxTU5PJyckxCwsLdv78eYHXFzXFW6Ht27cza2trpqyszOTk5Jiuri5zcXFhf//9N7/O5s2bWc+ePVmDBg2YjIwM09bWZn369GHR0dGlf4iVoLQp48o7TVxZSMK0nlURB/WB7yStDxTatGkTa9u2LZOTk2OqqqrMxcWFJSQkVNn+JaEf0LWg9vaDsLAwZm9vz3R0dJiMjAxTUlJi7du3Z/7+/uzTp09VFkdNm96WjvfvJO14L+t3n/Hjx7OWLVsyeXl5Vq9ePda9e3d29OjRKo25Mo7XGpVoSLLCzpacnMx1KLWSpBx/khIHF6gPcE8Sjj9JiIFL1A+4V9MSDUlGx3v1UhnH639znhFCCCGEEEKImFCiQcj/tXfvwTGdbxzAvxsSubjl6hJN3EWoEBXEJarCaElJJzSySJVMp6pEGZlUG5dGSFsStzKiiYSaDoOkde0gZqpxb92lhpSRIkFckkVD3t8f+WVZu3LZfTe7m/1+Zsw057x93+fE8zh5cs6eQ0RERETSsdEgIiIiIiLp2GjUknnz5kEIgdatW5s6FCKTYA0QsQ7IujDfiY0GERERERFJx0aDiIiIiIiks4pGY9CgQXXusl12djYUCoX6z+LFi00dUq06ceKExvHPmzfP1CGZPdZB3bN161aN409LSzN1SGaNNVD38Fzwesx36tq1q/p7ZapcsIpGoy6LiopCRkYGRo4cqbVvz5496NevH5ycnODi4oLQ0FBcvnzZoPVOnTqFWbNmwd/fH87OznB2dkavXr2wevVqlJaWGjQ3ANy6dQuRkZHw8PCAg4MD/P39sWnTJq1xbdu2RUZGBpYtW2bwmmT56lodvGzNmjXqE8X9+/c19gUEBCAjIwOxsbFS1yTLU9s1AAAJCQkICwtDu3btpP4gk5WVhY8++gg+Pj5wcnJCy5YtMWTIEOzZs0drLM8F1skU+V5WVobk5GR07twZ9vb28PT0xPTp0/Hw4UOD5q1JvgPAzZs3MWXKFHh6eqJBgwZo06YNYmNjoVKptMYuXrwYGRkZ8PHxMShGQ7DRsHB9+/aFUqlEly5dNLZnZmbivffeQ3FxMRITExETE4OjR48iMDAQ//zzj97rJSYmIi0tDT179sSiRYuwcOFCuLq6YurUqRgxYgSEEHrPff/+ffTv3x9btmxBVFQUli9fDjc3NyiVSqxcuVJjrIuLC5RKJUaNGqX3elR31KU6eNnNmzcRExODhg0b6tzv5eUFpVKJ4OBgKeuR5artGgCA2NhY7N+/H23atIGLi4tBc70sKioKhw8fRkhICJKTkzFjxgzk5+dj+PDhiI+P1xjLc4F1MkW+z549GzNmzEDHjh2xcuVKREREYM2aNRg2bBiePXum97w1yffbt2+jd+/eSE9PR1hYGJYvX4533nkHS5YsQUhICMrKyjTGjxgxAkqlEs2aNdM7PoNJe/VfFUz5dsygoCDh7e1d6+sa08GDB3W+wl4IIUpLS0WrVq2El5eXePjwoXr7pUuXhK2trQgPD9d73cOHD4vHjx9rbY+IiBAAxC+//KL33HPmzBEARGZmpnpbWVmZCAoKEg0bNhR3797V+n/y8vIEABEXF1fp3ObydlbWgVx1sQ5eFhYWJvz8/IRSqRQARFFRkc5xlX0fXmYOdcAakMtUNSCEEFeuXFH/t5+fn7Tv7f79+7W2lZSUiI4dOwpbW1tx7949rf3VPRcIYT1vBme+l5OR7+fPnxc2NjZi9OjRGtvXr18vAIi1a9fqPXdN8v3zzz8XAMTPP/+sMX7JkiUCgEhLS9O5RnVzoU6/GXz37t1QKBRYvXq1zv2+vr5o3769+utjx44hMjISHTp0gKOjI5o0aYLBgwfjwIED1VpPoVAgMjJSa3taWhoUCgWys7M1tj948ABz5sxB+/bt0aBBA7i7uyM8PBxXr16t9jHWlkOHDuHGjRuYPHkyGjVqpN7eqVMnvPvuu9i+fTtKSkr0mjswMBD29vZa28eOHQsAOHfunH5BA9i0aRPatWuHkJAQ9TaFQoEZM2aguLgYO3bs0HtuS8E6kMdS66DCzp07sXXrVvzwww+oV6+ewfNZCtaAPMasAaD8tiVjGDx4sNY2R0dHjBgxAqWlpcjNzTXKuqbAfJfHmPm+efNmlJWVITo6WmP7hAkT4Orqio0bN+odd03yPTs7Gw4ODggLC9MYP378eADAhg0b9I7DWOqbOoAKQ4cORfPmzZGRkYFPP/1UY9/Jkydx8eJFjQ95bd++HX///TfCw8Pxxhtv4NatW0hJSUFwcDAOHDiAoKAgabE9ePAAgYGBuH79OiZNmoQuXbrg5s2bWL16NXr37o0TJ07A29u70jlUKpXO++d0sbW1RZMmTfSO9/jx4wDKLy2+KjAwEJmZmTh37hx69+6t9xqvunHjBgDofXnu1q1buHHjBiIiIrT2BQYGAig/rkmTJukfpAVgHbxgjXVQoaSkBFOnTsXkyZPRt29frF27VkZ4FoE18IIl1oAxyaovc8J8f8Gc8/348eOwsbFBQECAxvb69esjICAAhw4dghACCoVCv+B10JXvT58+hb29vdY6Tk5O6jhlx2Eos2k06tWrh3HjxmHp0qW4fPkyOnTooN6XkZEBhUKh7tgAYO7cuUhISNCY45NPPoGvry8SEhKkFtvXX3+NvLw8HDlyBN26dVNvj4yMxJtvvom4uLgqn/aSmJiI+fPnV2u9oKAgrd8q1ER+fj4AwNPTU2tfq1atNMbIUFxcjG+//RZNmjTB+++/r9cclcXs4eEBW1tbqTGbK9bBC9ZYBxXi4uJQUlJilU9UYQ28YGk1YEynT5/Gtm3bMGDAALRp08bU4UjDfH/BnPM9Pz8fbm5uaNCggc65VSoVioqKpH1W6XX57uvri9zcXJw5c0bj7+TgwYMAys9DMuOQwWwaDaD8EtTSpUuRkZGBBQsWAACePXuGzZs3o1+/fhqXaSu6N6D8t39PnjyBQqFAQEAAcnJypMUkhMCmTZswaNAgtGzZEnfu3NGIoU+fPti3b1+1jq1///7VWtPZ2VnveAGof3ugqyAqbveo7m8YqvL8+XMolUrk5eXhp59+0ju5K4sZKI9bVszmjnVQzhrrAAD+/PNPJCUlYd26dWZ1sqhNrIFyllQDxlRYWIjQ0FA4ODggJSXF1OFIx3wvZ875rlKpKv35pGKMjH+zK8v36dOnIzMzE2PHjkVycjJ8fHxw4sQJTJs2Dba2tigtLZUWhyxm1Wj4+fmhW7du2LhxI+bPnw+FQoF9+/ahoKAA33zzjcbY27dvIzY2FllZWRoFAEDqJaPCwkLcvXsXu3fvhru7u84xNjZVf9Slbdu2Rruf9VWOjo4Ayi+xverJkycaYwxRVlaGSZMmITMzE/Hx8QgPD9d7rspiBsrjlhGzJWAdyGGJdVBWVoaoqCj07dtX533U1oI1IEdt1YAx3bt3D8HBwfj333+xc+dOdOzY0dQhScd8l8OY+e7o6IiCggKd+2TWUlX5HhQUhI0bN2L69OkYNmwYAMDOzg4xMTHYvXs3jh8/jsaNGxsch0xm1WgA5d3vrFmz8Pvvv2PAgAHIyMiAvb09xowZox5TVlaGoUOHIjc3F9HR0fD390eTJk1gY2ODhISEan8oSpdXH1Em/v+YymHDhmHWrFl6z1tcXIzi4uJqjbWzszOoG624bJifn4/OnTtr7Ku450/XpcWaKCsrw+TJk5Geno64uDiDn+P/csyvKigoQGlpqcExWxLWgXXWQVpaGk6cOIHt27fjypUr6u2PHj0CAOTl5aFp06Z16taR12ENWEYNGNO9e/cwZMgQXLp0CZmZmTo/NFtXMN/NO989PT1x4cIFPH36VOvKxo0bN+Do6GjwFZnq5nt4eDjCwsJw9uxZlJSUwNfXFy4uLli7di1atGjBRqMqERERmDNnDtLT09G9e3dkZmYiJCRE4wNCZ8+exZkzZxAXF6f1FtCvvvqqWuu4uLjg3r17WttffZKCu7s7mjZtikePHmHIkCE1P6D/++6772rtPsVevXoBAHJycrRizsnJgb29Pbp27ar3/BU/XKWmpmLu3LlS3sTavHlztGrVCkeOHNHaV3E5+K233jJ4HUvBOrDOOrh+/ToAYPTo0Tr3+/v7w9XVVes3mXURa8D8a8CYKn7ounDhArZv367+7W1dxXw373zv1asX9u7di2PHjmHAgAHq7c+fP8fx48fh7+9v0BWlmuZ7/fr10aNHD/XXf/31F27fvm2WD8wxu0ajefPmCA4OxpYtW+Dv74/Hjx9jwoQJGmMqHvUoXnkpVnZ2No4ePVqtdTp27IicnByoVCr15a6ioiKkpqZqjLOxsUFERARWrVqFHTt26HwpUEFBATw8PCpdrzbvUwwKCoKnpydSUlIQHR2tftlXbm4udu7cidDQUI37PGtCCIEpU6YgNTUVsbGxWLhwoUGxvmzcuHFITExEVlaW+hG3QggsW7YMTk5OVvVCJtaBddbBmDFjdJ4IV61ahezsbGzYsMHg74ulYA2Ydw0YU1FREYKDg3H+/Hls27YNw4cPN3VIRsd8N+98//DDDxEfH4+kpCSNRiM9PR137tzR+cTM6jI03//77z/MnDkTdnZ2+OKLL/SOw1jMrtEAyhNzz549iImJQbNmzbQ6Ox8fH3Tu3BmJiYl4/PgxOnTogLNnzyItLQ1du3bF2bNnq1zjs88+g1KpxODBgzF+/Hjcv38f69atg7e3N27duqUxNj4+HocPH0ZoaCjGjh2LPn36wNbWFteuXcOuXbvQs2fPKp+8UJv3KdavXx8rVqzABx98gH79+iEqKgoqlQpJSUlo3LgxFi1apDE+Ozsbb7/9NiZOnFjlccyePRs//vgj/Pz80LlzZ61nR3fr1k3r6RQbNmzAwYMHMWjQoErnjomJwZYtWzBu3DhER0fDy8sLW7ZswaFDh5CcnAxXV9cafR8sHevAMJZYB76+vvD19dXa/uuvvwIAQkJC0LRp08oPvA5hDRjGmDUAlD8V6dq1awDKPzvw5MkT9WcKvL29NZ6WNG/ePMyfPx+pqalVfv4oODgYp06dQnh4OIqKirTqKzg4uE494rYC890wxsz3Ll26YPr06UhKSsKoUaMwYsQIXL58GUlJSQgICMDHH3+sMd5Y+V5cXIzevXsjNDQUrVu3xp07d5Ceno5Lly4hJSVF5/nD5KS9+q8KNXnboEqlEo0bNxYAxIwZM3SOuXr1qhg9erRwcXERTk5OYsCAASI7O1tMnDhRvHpYr3sj4pIlS4SXl5ews7MTPj4+Yv369SI1NVUAEAcPHtQYW1JSIhYsWCC6du0q7O3tRcOGDYWPj4+YPHmyOHLkSLW/D7JU503Au3btEn379hUODg6iadOmYtSoUeLSpUta47KysgQAERsbW+W6QUFBAsBr/7z6VtbQ0FChUCh0rqtLfn6+GD9+vHBzcxMNGjQQ3bt3F+np6a8dX5ffDM46qFpdrYNXVfx9WtubwVkDVTNVDQhReR0EBQVpjJ05c6YAIPbt21flvJXVlq6/EyHqxpvBme9VM2W+P3/+XCxdulR06tRJ2NnZiRYtWohp06aJ+/fva401Vr4/ffpUjB07Vnh7ews7Ozvh4uIiRo4cKQ4fPlzpGqZ8M7hZNhpUtYpiW7FihSgsLBQqlUrvuaKjo4Wzs7O4e/euxAjLi9LV1VVMmDBB6rxCCFFaWioKCwvFqVOn6myjQVWz9jp4+vSpKCwsFDt27KiTjQZVzRJqQAghevToIQYOHCh93pqeC4Qw30aDqmbt+V5TRUVForCwUAQGBpqs0aj62WRk1qZNmwZ3d3ckJyfrPcfevXvx5ZdfSn/u8smTJ6FSqRAfHy91XqD8g0/u7u7w9/eXPjdZHmutg6ysLLi7u1vV55dIN3OugYKCApw+fRrff/+91HkBnguslbXme031798f7u7u+OOPP0wWg1l+RoOq5ufnh99++0399ctvE62p8+fPywhJS69evYz2MqhOnTppHH9t3QNK5sXa62DgwIEax9+lSxejrEPmyxJqwMPDA8+fPzfK3DwXWBdrz/eaSklJUT9e2MHBwSQxsNGwUM7OzgY9cs7SNWrUyKqPn8pZex14eHhY9fETa4DnAuti7fleU3369DF1COCtU0REREREJB0bDSIiIiIiko6NBhERERERScdGg4iIiIiIpGOjQURERERE0rHRICIiIiIi6Wr98bYXL16s7SWJzC7vzC0esg7mlHfmFAtZF1PkHvOdLIEx8rTWGg03Nzc4OjpCqVTW1pJEGhwdHeHm5mbSGFgHZGqmrgPWAJmD2qoD5jtZGtm1oRBCCGmzVeH69eu4c+dObS1HpMHNzQ1eXl6mDoN1QCZlDnXAGiBTq806YL6TJZFdG7XaaBARERERkXXgh8GJiIiIiEg6NhpERERERCQdGw0iIiIiIpKOjQYREREREUnHRoOIiIiIiKRjo0FERERERNKx0SAiIiIiIunYaBARERERkXRsNIiIiIiISDo2GkREREREJB0bDSIiIiIiko6NBhERERERScdGg4iIiIiIpGOjQURERERE0rHRICIiIiIi6dhoEBERERGRdGw0iIiIiIhIOjYaREREREQkHRsNIiIiIiKSjo0GERERERFJx0aDiIiIiIikY6NBRERERETSsdEgIiIiIiLp2GgQEREREZF0bDSIiIiIiEg6NhpERERERCQdGw0iIiIiIpKOjQYREREREUnHRoOIiIiIiKRjo0FERERERNKx0SAiIiIiIunYaBARERERkXRsNIiIiIiISDo2GkREREREJB0bDSIiIiIiko6NBhERERERScdGg4iIiIiIpGOjQURERERE0rHRICIiIiIi6dhoEBERERGRdGw0iIiIiIhIOjYaREREREQkHRsNIiIiIiKSjo0GERERERFJx0aDiIiIiIikY6NBRERERETSsdEgIiIiIiLp/gfF7APVyzcQhQAAAABJRU5ErkJggg==\n" }, "metadata": {} } ], "source": [ "from sklearn import tree\n", "\n", "plt.figure(figsize=(10,10))\n", "tree.plot_tree(tree_model)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 807 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:45.598491Z", "iopub.status.busy": "2021-10-23T05:54:45.585767Z", "iopub.status.idle": "2021-10-23T05:54:46.188763Z", "shell.execute_reply": "2021-10-23T05:54:46.189356Z" }, "id": "ktBjPuqA-mkV", "outputId": "321e6386-c8a9-4952-fcaa-c5079ecf6cc1" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "plt.figure(figsize=(10,10))\n", "tree.plot_tree(tree_model,\n", " impurity=True,\n", " filled=True,\n", " rounded=True,\n", " class_names=['Setosa',\n", " 'Versicolor',\n", " 'Virginica'],\n", " feature_names=['petal length',\n", " 'petal width'])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "execution": { "iopub.execute_input": "2021-10-23T05:54:46.196205Z", "iopub.status.busy": "2021-10-23T05:54:46.195317Z", "iopub.status.idle": "2021-10-23T05:54:46.483257Z", "shell.execute_reply": "2021-10-23T05:54:46.482598Z" }, "id": "jGSAIGdt-mkV", "outputId": "2f7606d9-9434-4cdb-8c31-209cb30472d2" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "True" ] }, "metadata": {}, "execution_count": 40 } ], "source": [ "from pydotplus import graph_from_dot_data\n", "from sklearn.tree import export_graphviz\n", "\n", "dot_data = export_graphviz(tree_model,\n", " filled=True,\n", " rounded=True,\n", " class_names=['Setosa',\n", " 'Versicolor',\n", " 'Virginica'],\n", " feature_names=['petal length',\n", " 'petal width'],\n", " out_file=None)\n", "graph = graph_from_dot_data(dot_data)\n", "graph.write_png('tree.png')" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 590 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:46.489081Z", "iopub.status.busy": "2021-10-23T05:54:46.488399Z", "iopub.status.idle": "2021-10-23T05:54:46.492269Z", "shell.execute_reply": "2021-10-23T05:54:46.491596Z" }, "id": "_nJ9EvYC-mkV", "outputId": "c61fa9f7-7f0e-43e7-fd45-595df9b24049" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 41 } ], "source": [ "Image(url='https://git.io/Jtm2H', width=600)" ] }, { "cell_type": "markdown", "metadata": { "id": "_mjC6dXT-mkV" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "b-nJfH4N-mkW" }, "source": [ "## 3.6.3 랜덤 포레스트로 여러 개의 결정 트리 연결하기" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:46.499184Z", "iopub.status.busy": "2021-10-23T05:54:46.498475Z", "iopub.status.idle": "2021-10-23T05:54:46.998106Z", "shell.execute_reply": "2021-10-23T05:54:46.998599Z" }, "id": "M8RcXmDR-mkW", "outputId": "7539d3d8-e311-4c6c-d576-bec67ebaa3c4" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from sklearn.ensemble import RandomForestClassifier\n", "\n", "forest = RandomForestClassifier(criterion='gini',\n", " n_estimators=25,\n", " random_state=1,\n", " n_jobs=2)\n", "forest.fit(X_train, y_train)\n", "\n", "plot_decision_regions(X_combined, y_combined,\n", " classifier=forest, test_idx=range(105, 150))\n", "\n", "plt.xlabel('petal length [cm]')\n", "plt.ylabel('petal width [cm]')\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_22.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "tGL5ASF4-mkW" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "id": "W6TzBXtS-mkW" }, "source": [ "# 3.7 K-최근접 이웃: 게으른 학습 알고리즘" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 385 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:47.004943Z", "iopub.status.busy": "2021-10-23T05:54:47.004212Z", "iopub.status.idle": "2021-10-23T05:54:47.007654Z", "shell.execute_reply": "2021-10-23T05:54:47.007030Z" }, "id": "Z6ghrLTD-mkW", "outputId": "fd324e0a-cacd-47df-adf4-87cf0f02a18e" }, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "execution_count": 43 } ], "source": [ "Image(url='https://git.io/Jtm25', width=400)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "execution": { "iopub.execute_input": "2021-10-23T05:54:47.015358Z", "iopub.status.busy": "2021-10-23T05:54:47.014640Z", "iopub.status.idle": "2021-10-23T05:54:48.853940Z", "shell.execute_reply": "2021-10-23T05:54:48.853274Z" }, "id": "QraSYmba-mkW", "outputId": "258af862-5672-4820-8b2f-7a95f6257514" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "\n", "knn = KNeighborsClassifier(n_neighbors=5,\n", " p=2,\n", " metric='minkowski')\n", "knn.fit(X_train_std, y_train)\n", "\n", "plot_decision_regions(X_combined_std, y_combined,\n", " classifier=knn, test_idx=range(105, 150))\n", "\n", "plt.xlabel('petal length [standardized]')\n", "plt.ylabel('petal width [standardized]')\n", "plt.legend(loc='upper left')\n", "plt.tight_layout()\n", "# plt.savefig('images/03_24.png', dpi=300)\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "colab": { "name": "ch03.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" }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 0 }