{ "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": "3b1d9e22-2844-4c3d-e05a-1d07b5ad4217" }, "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": "8319ccaf-6237-41e4-88ec-faadbb360a7f" }, "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": 83 }, "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": "45edfd0f-a8b3-4918-f79b-d4c14adfe361" }, "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": "bbea5659-c474-4fbc-a2ea-369a8da58877" }, "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": "4f040aa1-2927-4645-e36c-e876fe7d0ef6" }, "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": "02ae164e-5b3b-47e0-e00d-77cf0ca6d5ef" }, "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": "19f38b3f-8278-4e82-aa23-e821a68adc74" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\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": 563 }, "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": "fa68ba55-8080-4696-ab0f-eb141370e0a2" }, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "<>:15: SyntaxWarning: invalid escape sequence '\\p'\n", "<>:15: SyntaxWarning: invalid escape sequence '\\p'\n", "/tmp/ipython-input-2231125853.py:15: SyntaxWarning: invalid escape sequence '\\p'\n", " plt.ylabel('$\\phi (z)$')\n" ] }, { "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": "d08b84e4-ec2d-4005-9af2-14fe38ca6dbe" }, "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": 563 }, "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": "c6bccd91-30cf-4403-b9b7-e6696c13f0e1" }, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "<>:19: SyntaxWarning: invalid escape sequence '\\p'\n", "<>:19: SyntaxWarning: invalid escape sequence '\\p'\n", "/tmp/ipython-input-144720993.py:19: SyntaxWarning: invalid escape sequence '\\p'\n", " plt.xlabel('$\\phi$(z)')\n" ] }, { "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": "f5c8cd39-4366-47f5-f91a-8eb0fa064d8e" }, "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": "42a93ebc-1408-4695-f4e1-c7a884921a97" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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Dlw4cO3ysyPF9e/iW1VsXIo/8SqEHGzf+RNOmdXjvvTewtbVj1Kj3GDfuY7p0eYLvv19Cq1aejB07kqysLL0/+7nnuvPJJ+P0Oubo0cMZPLivXse8V0REGPb2Cs6dCzLoc4TQp9wSKLGhduUdiijCob8OERkWyWtvvwbokrEZn87AzMOMId8OYcLOCQz5dghmHmbM+HQGAfsDGPL2EKIioti/a3+x4xY3jqK2gqVzl5JqlFrs+EKUNUnsHtHKlUt4552h9Or1HKdOXWXz5l1MmPAZ778/kfnzl3Phwk1mzVrI5s3refVVP7Kzs8s7ZCHEI4qKgiR1UnmHIe7hv9cfd093WrZriUajYdXiVXh08GDA9AG4NXPDzNIMt2ZuDJg+AI8OHqxavArv1t54NvTkyN4jRY5Z7DhN3egyqgtNezUlJzuHOo/VKXJ8KbEiypokdo8gIOAwkyaN5Z13xrF8+Vrq1fMqdI+1tTWjRr3L5s1/4u9/kGnTJunt+aNHD8ff/yDLly/E3l6Bvb2CiIgwAC5cCOall/pQt641jRo589ZbrxEfH5f3s7//vgVf3+bUrm2Bl5cDffs+SVpaGl99NY0NG9awa9fveWMeOXKgyOcXN0autWu/p337x3BxMcfHpwnff78077WWLT0B6Nq1Nfb2Cp57rrvePhchDCm3tp2UQKl4UpJTqFmrJgqFgvNB54mKiqLT4E6F9rsplUo6DepEVFQU54PO4+DkQEpySpFjFjdORkYGKrWKTsM6kRidSMTZiGLHF6IsSWL3CJYsmctjj3kzffpcFArFfe/t0qUHH3zwKWvWrODOnSS9PH/WrIW0a9eRYcPeJCTkFiEht6hTx407d5J44YUnaNGiNfv2nWDLlt3Ext5mxIgBAERH3+KNN15lyJDXOX78Ijt2HOC55/qj1Wp5990J9Os3gJ49e+eN6eNTeJ/I/cYA2LRpPbNmTWXy5BkcP36RKVNmMnPmFDZsWAPA3r2BAPz22z+EhNzip5+26uUzEaIs5F+SjVZFl3c44j8WFhakp6UDkBiXiAYNTp5ORd7r5OWEBg2JcYmkp6ZjaWlZ5H3FjaNWqQFwaazbZ5kSXzAxzD++EGVJDk88pMjICHbv3sGcOUtLfPpp2LBRzJkznY0b1/LWW+89cgy2traYmppiYWGJs/PdTdwrV35LixatmTp1Zt61xYt/wNvbjatXL5OWlopKpeK55/rj7u4BQLNmzfPuNTe3ICsrq8CY97p9+9Z9x/jqq//x5Zdz8fPrD4CHhyeXLl3gxx+/49VXh+HoWAuAmjUd7vscIYQoKe823qz7bh2R1yOxd7RHiZKY6zG4NXMrdG9MaAxKlOTk5BByLoRBowYVOWZx4xgZ6w5aRF/SJfY2DjZFjm/vaK+vtydEiciM3UPav/8vtFotL788uMQ/4+JSmx49nuavv3YaMDIIDj7D4cP7qVvXOu+rfXtdeYbr16/h7d2Sbt160rlzc4YPf5k1a1aSlFS63yrvN0ZaWhrXr1/jvfdGFohhzpzphIVd0/v7FaI8+PhAxCkXjpxJkiXZCuLZl5/FuoY1G77fQLNWzXB1dcV/vX+hfW4ajQb/n/1xdXXl9LHTWFpb8vzA54scs7hxLCwsMDYyxn+NP/Yu9ri3uFv5IP/4zVo1M8ybFaIYktg9pKSkRGxsamBtbV2qn3NxqV3qJKq0UlNT6d3bj0OHggp8nTx5BV/frhgZGbFt299s2vQnjRs3ZcWKxbRr15jw8Oslfsb9xkhLSwVgwYKVBZ4fEBDM338fM9TbFqLMyZJsxWJhacHLw15m3fJ1XD5/mZFjRxJ+LJxNkzcRGRxJVnoWkcGRbJq8ifBj4Tzt9zQ/Lf+JF197sVAR41xKpbLocc5HcnjFYS7suYCJqQk3L9wsNP7IsSOlnp0oc7IU+5DMzS3IzMxAq9U+cH9dfhkZGVhYFL2X42GYmpqiVqsLXGvZsg07dvyKu3u9YlvlKBQKOnToRIcOnZg4cSotWnjwxx/bGDPmgyLHLO0YtWu7Eh4eyoABRc9ompiYApToOUIIUVLvT32f44eO81qf11i2aRmfzfyMVYtXsW7sugJ15l557RXm/W8ebvXcGD9t/H3H9O3hW+w4oz8czbHDxwpd/2zmZ1LHTpQLSeweUrNmzcnOziYg4BCdOnUr0c/k5ORw5Mh+nnuuv97icHevx8mTx4mICMPKyhp7+5q88cYY1q5dyRtvvMp7703E3r4moaFX2bp1I4sWfc/p0yc4eHAvTzzxNI6OTpw8eZy4uFgaNXoMADe3euzdu4crVy5Rs6YDNWrYYmJiUuC5J04cv+8YH3/8OR9//B41atjSs2dvsrKyCAo6QVJSImPGfECtWk5YWFjwzz+7cXWti5mZOba2tnr7XIQoKz4+EHTKhdvpIXh7J0lXiv+URzcGlUrF3zv+puvTXflz65+80uMVfLr4MHDkQIyMjUhOSiYpIYkj/xzh8/Gf08qnFSu2rsCmhs0Dx/bt4UuHbh2KfE8j3x8pnSdEhSGJ3UPy9e1Ko0ZNWLVqaYkTu507fyM6+hbDh7+ltzjefXcCo0cPo0OHpmRkZHDmzHXc3euxe7c/06ZNon//p8nOzsLNzYOePXujVCqxsanB0aOHWL58ASkpybi5efDll3N56qk+AAwb9ib+/gd44onHSU1NZceO/XTu3L3Acx80xtChb2BhYcnixd8wdepHWFpa0bRpc955ZxwAxsbGfPXVIr7++gtmzZpKx45d+OOPA3r7XIQoS60cvQgKgSiHEOzqRlf7jhT36/ZgqFmslfNXsmrxKnI0OSiNlahz1NjY2xB9M5oPhn9Q4F6fLj4sXLeQp194GlNT0xI/Q6lU0rxN8xJfF6I8KLS59SmqgeTkZGxtbdm48Q6WljUKvGZsnImT03Xc3DwxNTUv0XgrVizm00/H89tv/xRKfO51504SvXr5UrOmI7t2HXrYt1DtZGdnEhl5nZgYT1Sqkv17EaI8BAZCg5cCaNiQap3Y5XZp8OjgQafBnXDydCLmegz+6/0JPxZukCXKlfNXsnTuUpr2bkrnYZ1xbuTM7cu3ObL6CBf2XGDwyME80ecJtFotLq4u1PGoo9fnC2FoKckptKrVijt37lCjRo373iuJ3X8eJrHLzs5mwIBnOHXqX9as2UKPHk8VeV9MzG0GDXqea9eusGdPAI0ayVJNSUliJyqLwEAw9QrFrEkI3t5UyyVZjUbDmy+9iZmHGQOmDyiwHKnRaNg0eRNZ4Vms3LJSb0uVKpWKzo06U/+J+gycPxAj5d1+r2qNmo3jNnJt/zWOXD5S7J5jISq60iR2sgngEZiamvLTT9vw8elI//5P89xz3dm2bRM3b94gJuY2gYFHee+9N2jVypMbNyLYtu1vSeqEqKJ8fHRLslkhTaptV4rSdHvQlx2bdpCjyaHzsM4FkjoAI6URnYZ1IkeTw45NO/T2TCEqMvn15RHZ2NiwceMf/P77FlatWsrrr79S4PU6ddz48MPJDBv2Zl5RXiFE1ZW73w7v6pfYlabbg75ERUShNFbi3Mi5yNddGrugNFYSFRGlt2cKUZFJYqcHxsbGvPjiQF58cSBXr14mLCyU7OxsHB1r0aZNO5n+F6IairoF1A6pVkuyJe32oM9uDK7urmhUGm5fvo1HG49Cr0dfikaj0uDq7qq3ZwpRkUnGoWcNGjSiQYNG5R2GEKIctXL0IsgfEpqEgHf1Se5yuzQcXH2QDgM6kJ2ejbm1OXWa1MHEwqTU3RjiYuIIvxZOVmYW9g72NGrWCCOjgsutfgP8mD15NkdWH6Fuq7qF9tj5r/FHqVHiXNuZ44eO4+zqTL0G9fT5toWoUCSx+0/uEZJqdJakUsj99yH/WkRlUx2XZMOuhGFqbMo/q/5h78q9edfNrMxw9nLGSG3EF/O+uO/BCa1Wy7GDx1j/3Xr++v2vAkXM63rU5dU3X2XAiAHUdKwJ6FZMRo4dydK5S9k4biOdhnXCpbELN4NvsmP6DsICw1Cr1LzW+7W8cVq3b83gtwbzzEvPYGZmZoBPQojyI4ndfzQaEzQayM5Ox8zMorzDEf/Jzk5Ho9H9+xGiMoq6RbWobffLD78w5d0p2Na05dmXnyXqZhTxCfGo1CrSk9K5dekWapWaiNCIYsudqFQqpoydwqYfNtGgSQOmzJ1C+27tMTMzI/pmNFvWbmHhlwtZtWAVK7auoHX71gC8Of5NAFYtXkXI3hBQQEpsCuocNR4NPPjoy49o4q2bNb184TI/r/iZCa9PYM2SNXy/7XscnR3L5kMSogxIuZN8rK1vYWeXhKOjE6amlqVqFSb0S6vVkp2dTlxcDElJdqSm1i7vkIR4KEFxVb8Eypa1W5j05iQGjxrMZ3M+w8zMDJVKxY5NO4iKiMLV3ZVeL/Ri9iezWffdOl5//3WeH/h8XocGjUZD8Olg5k6dy9H9R/lyyZcMGD4ArVZbqKNDQmwCoweO5tK5S2zct5HHWjyWF4dKpWLzms0s+HwBWRlZrNq+irYd2xbZBSP4dDBvvfgWdjXt2LR/Eza2d7tPlLZrRnl02dCXyhx7dSJ17IrxoMQOtFhbR2NtnYT877r8aTSQmmpHaqoLIEm2qLyC4kIxdommVv0kmta1q1Kzd7HRsXRt2JW+Q/oyc+lMFApFkZ0nLM0t0ag1hF8L507CHbyaeeHu4U6HLh04dvgYly5c4tb1W7h4uNDEu0ne9aK6V7Rs15JXe76KSqVi54mdBX4J//LDL9mydgubD26mUdNG9+2C4eTixEvdXqLvoL5MWzANKH3XjPLosqEvlTn26kYSu2I8OLHTUSjUKJU5yIRd+dFqdcuvWq3Rg28WohIIDARL3wBadq5a/WS/nfUty2Yv42jYUWrY1Siy80R4cDj/rPqHawHX6DWmF79+/iudB3dGi5aTv5+kUcdGJEQlgBaGLxrO9tnbuXz0Mm1faEuPET2K7F6h1WgZ+sxQNu7dSLvO7QBIT0unY72OvPb2a0z4ckKJumAcO3iMNd+uwf+6P2dPnC1V14zy6LKhL5U59upIErtilDSxE0IIQwiKC6XtS1XnlKxGo6FLwy50fbors5bNKrrzhBbCroWBCRxcfpDE64nYOtly7p9zvLv1Xf7+9m+SwpMIORzCqBWjaP9SexYNWoRFLQueHvs0ng098ybs83ev+G7Td/Ru1RvvNt4sWLsAgE0/buLTdz7l4KWD1HarXaIuGF/M/4LuTbozbeE09u3eV+KuGeXRZUNfKnPs1ZV0nhBCiAoqtytFtCq6vEN5ZInxiUTfiKZ77+5A0Z0nMjIyyMnJoYZjDToM6kBidCK1G9YmMSqR5IRkOg3rRFxkHADNn2pOxNkIEqMT6TysMyq1ioyMjLzn5e9ecfHsRbr16sbFMxfzXr8QdIGGTRtSx6NOibtgJMQn0KR5EwL2BZSqa0Z5dNnQl8ocu3gwSeyEEKKMtHL0ImXXM5w5YseFG0mVPrnLTM8EwNLSEii684RapStXYmxmTC1PXfcdVY4KgJzMHFwau6DRaAAwszQjJT4FIK+TRO7P58rfvcLCyoL09PS81zIyMrC0Kj6W+42TnJRcqq4Z5dFlQ18qc+ziwSSxE0KIMuTjA+kBvphk2JV3KI8s9yRpXIxuxi1/54lcRsa6fbKqLBWx12MB0Kh1iZy5tTnRl6JRGun+U5Qcm4yNg27M25dvF/j5XPm7V8THxlPD9u6ylE0NG+Jj4tFqtUXGUuw4MfGlur+493q/+yuSyhy7eDBJ7IQQohxERUGSOqm8w3gkNexq0OLxFmzfuB2423nCf71/3iychYUFJiYmJMclc+znY9i72HPl2BXqta6HtZ01/mv8cfZ0xsTchGObj+Hewh17F3uOrD6CsZExFhZ364pqNJq87hX1G9dnz7Y9dOrZKe/1Lk91ITIskqDAoCJjKWoctUpN2NUw/F7xK9H9uV0zSjp+SbtslKXKHLt4MEnshBCijOXO2p05Yse+sMq9327wW4M59Nchrl+5jlKpZOTYkYQfC2fT5E1EBkeSlZFFVkIWu2bu4uwfZ6n/eH2C9wbTuk9rDq84zIU9F7CwtsD7CW/2rdpHxNkITExNuLDnAodXHCbyfCRZ6VlEBkeyafImwo+FM3LsSHZt2UVyUjKDRw3Oi6XLU11w93Tnp2U/FR1LEeOsX7GeOh51eOKZJ0p0f+6etJKOXxEPH1Tm2MWDyalYIYQoJ4GB0OClABo2pNLWtsvMyKRns544Ojuy/q/1WNtYF1vHTpWj4sqFK6hyVHg29aRu3bp59epCr4YScSkCWwdbWrVvRceuHYutY1fLpRav9HiF9l3bs2zTsgLx/LTsJ6aNm8a81fN44dUX7lurLT42nnGvjWPynMmMGDsCkDp2lSX26kbKnRRDEjshREVSVWrbXThzgVeffBV3T3emL5lOi8dbFOgaYedgh1qlZup7U7l++TqTZk6iVftWBTpPnA86z+8bfufHRT/y3IDnmDh9IrXdahfoitDYuzH7du5j8pjJ1HKpxS/7fqGGXcG/y7VaLZNGTWLrT1sZP208Q98ZipWNVYFx3L3c+XnFz8z73zyeH/g8c36YU6DIsXSeqByxVyeS2BVDEjshREVTVbpSXAq+xDsD3iH8Wjjebbzp3a83tna23Em6w+5tuwk+FYxHfQ+W/rKUJs2LT2L/2PwHk8dMJi0ljR59etChWwfMzM24deMW237eRvSNaLo82YWF6xZia29b4Gdzk5T4mHj+2PwH2zdsx8zcDL9X/Gjs3RiFQsGl4Evs+GUHmRmZDH93OM+8/AzJiclVJqmRRK1qksSuGJLYCSEqoqqwJAugVqs5tOcQ675bx4mAE6SlpGFlY0Xbjm157e3X6NqrK0ZGD+4mk56WzvaN29nw/QZCL4WSlZmFbU1bnvR7ksGjBuPd2rvQzxS1rOhQ0wGX2i6c9D9J9E3dPkZnV2f6Du5Lg8casG3Dtiq1DClLq1WXJHbFkMROCFERVZUl2XtptdoCS5yGGqck7bE6du8IkNfLtqq106qK70ncJYldMSSxE0JUVEFxoZg1CaGmA5V6SbaslbY9VlVsp1UV35MoSFqKCSFEJZPblaIqFC4uS6Vtj1UV22lVxfckHp4kdkIIUYFUhcLFZam07bGqYjutqviexMOTxE4IISoIHx9QRbsQHAwhWSHlHU6lUJ1agRWnKr4n8fAksRNCiAokd0k2NtROkrsiZGZksv2X7Xw761sWfLGAkwEnqWlfU2+twPau2IsmW8M/O/5h8czFbN+4ncyMzDJ7fw9DWoSJ/IxLclObNm1KNahCoWD79u3UqVPnoYISQojqzizVBUgq7zAqjMT4RJZ/s5wta7aQlJCEo7MjxibGJMQkkKPKweqkFUm3k3h2/LM4eTkRExqD/893T4Te2wpsxqcz2DR5E50GdcLJy4nTO0+zbeY2Yq7HYGxizJY1W1CpVMTdjsPW3paXhr3EWxPewqGWQzl/EoUV956K+wxE1VaiU7FKpZIPP/wQa2vrBw6o1Wr56quvuHDhAl5eXnoJUl/kVKwQorLIPSXr7U2VKoHyMCKvRzLs2WEkxCUwYMQAXn3jVTwbegKQmpLK9g3bWT5nOVERUTi7O2Nd07pUrcDuJN4hJjwGCysLXh72MuOnjcemhg0AYVfD2PD9Bjb9uAk7eztW71yNR32PMn3/JSV17KouvZc7USqVREdH4+RU9MbMe9nY2HDmzBlJ7IQQ4hFU1fp2JaXRaDh28BgTXp+AQqFg/d/rqVe/XpHdFdRqNR+P+pjtG7fTd3BffJ/wxW+AH8bGxsV2Y9BoNPy84me++OALOj/ZmaWblmJubl7k/VERUQx7dhgajYatR7Zi71C++9Xu956k80TVo/fELjw8HHd39xIXmoyMjMTV1bVEFcbLkiR2QojKJigulLYvhVS7xC539unsybMkxiTi0cSDep716NClA8cOHys0K9WhSwcCDgZw4sgJcrJzqPdYPerUqVPs/SPHjqRj9470btUbRxdH1uxcg7Gx8X1nvdzqufFcu+d4bfRrTPhiQrl/NjIzV33ovY6dh4dHqaqHu7m5VbikTgghKqvqdko2t4uCSV0TsnOy6fpaV15f+TqpRqksnbsURW0FQ74dwoSdExjy7RAUtRUsnbuUdJN0Bn41kJysHHxH+OZdTzVKLXC/mYcZMz6dwQ8Lf+BqyFXe/eTdvKRuxqczMPMwK/L+yLBI+r/Wn00/biIrK6tcP5viYgzYH1AucYmKo0QzdmfPni3xgC1atHikgAxJZuyEEJVRddpvl7+LQqPOjVg8aDFfBnyJaxNXFg1ahEUtC54e+7Ruj50C0ML1K9f5a9FfZMRlMHb9WP7X+X+4NXPj6YlP511/7+f38pYkc7sxBP0ehJWVFX+d/QutVlui7g2Tpk+iT+s+LN20lF4v9Cq3z0Y6TFQvep+xa9WqFa1bt877835fQggh9KuVoxdZIVU7ocuVv4tCfEQ8JuYm1G1al4izESRGJ9J5WGdUahUZGRkAZGRkoFKr6DSsE4nRiUSei8SztScxYTEFrkecjch7Rm43huSkZNy9dNuMStq9ISszCytrK26G3SzTzwWkw4QomRIldtevXyc0NJTr16/z66+/4unpydKlSzl9+jSnT59m6dKl1K9fn19//dXQ8QohRLVVHZZk83dR0Kg0KI10/5lKiU8BwLmRMwBqlbrAny6NXfLuUxgpiryen5OXE1q0qHJUhZ5blPzdG5RGSlQqld7ec0lJhwlREiWqY+fhcfdo98svv8yiRYt45pln8q61aNECNzc3pkyZQt++ffUepBBCVHetHL0ICoFgQsA7BDsjO1yMXco7LL3L30WhhnMNstKySIpOwsZBV37k9uXbmFqZYmSs28ed+2f0pWgAbBxsiLkWg42jTaHr+cWExmBkbERcTFyh57o1cysUV273BoVSQcqdFBycyr6eXUljlA4T1VupF+HPnTuHp6dnoeuenp5cuHBBL0EJIYQoLLcrxZkjdly4kUS0KrrMnp0Yn0jY1TBuR93Om63SarXEx8YTdjWMmFsxhboe3Euj0RAbHUvY1TDiY+Mpaot3/i4KzZ9qjqmlKYfWHsK9hTv2LvYcWX0EYyNjLCwsALCwsMDYyBj/Nf7Yu9hjYm7CpYBL+L7sW+C6ewv3AnH4/+yPu5c7IedCuHLxSom7N5w9cRZzC3OefO7JR/1IS006TIiSKHVi99hjjzFr1iyys7PzrmVnZzNr1iwee+wxvQYnhBCiIB8fSA/w5ZZ/E4Mnd5kZmWxZu4V+nfrxuOvj9GzWE19PXzrW68jrz7/O0y2exqeuDz2b9aRjvY50bdSVJV8tIe52XIFx4m7HseSrJXRt1JUOHh3o2awnPnV9eKbtM6z/bj2pKal59+Z2UQg/Fs4fX/9BiydbsP/H/YSeCMXE1IQLey5weMVhIs9HkpWeReT5SA6vOMyFPRcwMTXht5m/YeNgg0tDlwLXb164qbs/OJJNkzcRfiyciV9MxNHZkR8W/lDguZsmbyIyOLLQ/YPfHMyG7zfg94oftva2Bvvci1OSGEeOHSkHJ6q5Ep2KzS8wMBA/Pz+0Wm3eCdizZ8+iUCjYsWMHPj4+BglUH+RUrBCiqggMhAYvBdCwIQZZkr149iJv9HuD6BvRdH26K30H9aWWSy2CTwaz4MsFZGXqyn28NOwlXnj1BdJS0ti3ax/bN25Ho9Ewe8Vsnh/4PNt/2c6kNyehVCp5fuDzPPHME1jZWJEYn8gfm/7gnx3/YGtvy/LNy3m80+N5z8+t1RYWGkb4pXAsrCxo26ktnbp3KraO3a8//cqV81dwrONITaeaedeLq2Pn28OXn5b9xLRx05gydwrD3x1ebI2410a9xtqlaznhf4Jt/tuo36S+3j/zkpI6dtWP3gsU3ystLY3169cTEqLbxPvYY48xaNAgrKysHi7iMiKJnRCiqsjtSlGrfhJN6+p3v93lC5cZ0H0A7p7uLFy3EM+Gnmg0Gn796VemvDuFRk0bMefHOWz8fiNrlqzh9fdfp8uTXbB3tKeuR11mTJzBtnXb6N2vN7u37aZ77+7M+WEOtva2hboiRN+MZsLrEwgKDGLdnnW06XC3N3luFwX/vf4smr6I+k3qM+bjMfR4pgeXz1/OG0ehULB26Vp+Xfsrfq/40W9wP2rWqlmibgxarZavPvmK7+d/T9/BfXn9vdd5rMVjeffXsKvBrRu3WPb1Mq6FXOO7Ld/R+cnOevus732vJe0YIZ0nqheDJ3aVlSR2QoiqxBDJnUajoU/rPhgZG/HLvl+wsbUhYH8AKxesxP8ff0zMTKjboC5169alQ5cOrF+xnsjQSNwau2FhaYGrqyvtO7fnh4U/EBsdi5WtFa6erliaWaJQKkjPTC80y9S2Y1uGPTuMsKthHLx8EDMzs0JxnTt1ji8//JKTASdxdnWmedvmmJiYEBkWSfCpYJxdnXln4jsMeXtIqQrqgy652/D9BpZ8tYToG9E0a90Md093cnJyCD4VTPTNaNp0bMOUOVNo8bj+a7XqawZOZvKqLoMndj/99BPfffcdoaGhHD16FA8PD+bPn4+XlxcvvPDCQwduaJLYCSGqGn0vyR755wjDnh3GL/t+4fFOj9/tAlHThHP/nGPawWkojZVsn72dy0cv09qvNad3nKbF0y14evTT7P9xPyd/P4l5DXNirsXw1DtPUeexOmz/ZjsNfBvQc2RPPLw9iLkeg/96f8KPhfPZzM9wru3M0y2fZt7qebzwavH/HQk5F8IvP/xCRGgEOdk51KxVkz79+9DzuZ4YG5eo0EOxVCoV+3bu48+tfxIfE4+xiTHuXu688vorPNbCMHvIcz9fjw4edBrcCSdPp0KfTUmSMn2NIyomgyZ2y5YtY+rUqYwbN47p06dz/vx5vLy8WL16NWvWrGH//v2PFLwhSWInhKhq9D1r9/bLbxMRGsHOEzsLdGO4dvIaJmYmTNw+EY1GU6ALxLnfzrFzwU7mX5jP7Zjb7J6/m1O/nsKloQt3bt+hXpt6ONR3oNvb3SAH6tWvB4rC3RKG9hlKVlYWmw9s1s+HU8Hpq5OEdKSo+vTeeSK/xYsXs3LlSj777LMCvx09/vjjnDt3rvTRCiGEeGi5p2Rjr+mnBMqpY6fo1bdXgW4MHV/tyLV/r9HWry1AoS4QzZ5qRnZ6NldPXUWlVtH0yaaoslU07d6UlLgU4iLi6Di4IzUca5CTk5PXNeLebgm9+/Um6HjQA8umVBX66iQhHSlEfqVO7K5fv15k6zAzMzPS0tL0ElRxDh06hJ+fH66urigUCn777TeDPk8IISqD3OTOJMPukcdKT02nhp1uRiC300HN2jXRarRY2lkChbtAmFnp9sSl30kHoIaT7ueNTXW//GvUGhzrOWJspvs+tysEFOyWUMOuBhqNhoz0jEd+H5WBvjpJSEcKkV+pEztPT0+CgoIKXd+9e7fB69ilpaXRsmVLlixZYtDnCCFEZRQVxSPP2llaW3In8Q5wt9NBwq0ElEZK0hJ1v7zn7wIBkJWmK31iaatL/JJjkgFQZekKGSuNlMSFxeV9n9stAgp2S7iTeAelUomFpcVDx1+Z5O8kUZSSdpLQ1ziiaih1YvfBBx8wZswYfvnlF7RaLYGBgcyYMYNPPvmEiRMnGiLGPH369GH69On069fPoM8RQojKRl9Lso/7Ps7ubbvRarV5nQ6ObjhKfZ/6nNx+EqBQF4hze85hZmVGw7YNMTYy5sLeCxibGXN+/3lsnW2p5V6Lo+uPkhyXjImJSV7XiHu7Jfy57U/a+ratNvvA9NVJQjpSiPxK/f+eN954g9mzZzN58mTS09MZNGgQy5YtY+HChQwcONAQMQohhCgBfSzJDn5rMFcuXCHwcGCBTgcW1haEHAnh+unr3LxwM68LxMHlB9n3/T7av9ieuMg4Dq84TMjfITi4OXDz4k3av9ieNs+24ewfZ9k1cxdZCVlkZdztlnDlwBUszC14pfsrHD94nPTUdH5a9hMpySn6+2AqKH11kpCOFCK/R6pjl56eTmpqKk5ORa/rG5JCoWDbtm307du32HuysrLIysrK+z45ORk3Nzc5FSuEqLJyT8m27JxEE7Mmpf55rVbLM22fQavR8sv+X7C1t9XVsVu4koB/AjAyMcKtoRt169alfef2rPtuHTfDbuLWxA0Li//q2HVqz6qFq4i7HYelrSV1POsUqmOnylJxJ+YOiXGJ2NW0Q6vVkpWZRduObTl28Bhm5ma8+sarTJg+AVNTUwN8UhWH1LETD1KaU7GlLvrzxRdf0LlzZ5544gksLS2xtNTtqUhLS2Pu3LlMnTr14aI2gFmzZvH555+XdxhCCFFmfHwgMMCXMwQQVT+k1CVQFAoFSzYs4eXuL/Pqk6+y4KcF+PbwpUO3Dvy+4Xc+fedTjNRGjJs8jl9W/cLNsJu89dFbdOjaAXtHe1zquPDlh18SHxOP3yt+/LHpD5wdnZnzwxwcajlwPug8wSeD+WbKN9Swq8FbE95iz7Y9hJwLYcM/G2jxeAuib0az4fsNrJizgsvnL/Pd1u+KLFpcVeR+vo/aMUJf44jKrdQzdkqlEhMTE2bNmsUHH3yQd/327du4urqiVqvv89P6IzN2QghRvNzCxbW8Hm7m7srFK7zZ900iwyLp0L0DfV/ti6OzI5eCL7F4xmIyMzJRKBS8OPRFHmv5GHHRcVw4c4GA/QEYGxsze+VssrOzObD7AHu27QHgmRefwbeHL7M/m42ZmRlejbwI2B+Ag5MDE2dMpJZzrQLJyNEDR3n9+dd5fuDzzF4xW98fkd5IGy9haAYtUKxUKtmwYQNjxozBz8+P7777DlNT0wqZ2N0rr0BxvxVYjnjTcMEJIUQ5CwwEU69Q2r4U8lCJHeh+Od7z2x7Wf7eeE/4n8q47uzrTsl1LLp69SOT1yLzrJqYmuNd3p0XbFhzZf4QcTQ5KYyWqbBXqDDUmJiYkxSfl3d+sdTM6du/IpYuXuH37dpHLhz8t+4nPx3/O/ov7cfN0e+jPw1Bk+VOUBYMndtHR0aSkpODn54ednR2//fYbWq3W4IldamoqV69eBaB169bMmzePHj16ULNmTdzd3R/483mJXYdpWLrXh0aNdOsWQghRBemzK0VaahrJSclYWFpQw64Gxw4eY8anM6jTpg6tnmmFaxNXUhNS2TZzG5ePXqZ5n+Z0eb0Lzo2cuX35NkdWHyH4z2CMNEb4dPbhmx++4dzJcw9sg9W6fWs61uvIoDcHMXGGYSsvlJa08RJlxaCJnZGREbdu3cLJyYnk5GQGDBjA+fPnWb58Oc8//7xBE7sDBw7Qo0ePQteHDRvG6tWrH/jzuYndnY0bqbF1Kzui2kD3HpLcCSGqrEc9TFGU4lpYadQaZvebjb2bPU++/yTODZxRoABArVGzaugqzu06x5pda/Dt4VviNlifj/ucg3sOcuDSAb3Erw/SxkuUJYO2FMufB9aoUYNdu3bRr1+/Ui2JPqzu3buj1WoLfZUkqStkyBD8uqfCgf2wbp3eYxVCiIrAxwdU0Y/WP/ZexbWwuvLvFVLjU/Ed5otarSY7PTvvNSOlEQ07NwTg8oXLpWqD5VHfg/jYeL2+h0clbbxERVXqxO7HH3/E1tb27gBKJYsWLWLFihUMHTpUr8EZnI+PLrmLuqlL7gIDyzsiIYQwiOBg2BcW8si9ZKH4FlbJscmgAOfGulZj+VuHATjWcwTgVuStUrXBysnJwdik1EUcDEraeImKqtSJ3bBhw4o8dj5ixAh+/PFHvQRVpnx88JvYFD926GbvAgPvfgkhRBXQytGLlF3PEHvNjiR10iOPV1wLqxq1aoAWbl/StRrL3zoM7iZ6mRmZpWqDdebfM7jVq1gHJ6SNl6ioSvQr0KJFixg1ahTm5uYsWrSo2PsUCgVjx47VW3BlasgQ/AID4fJcAN3+u8uXYciQcg5MCCEenY8PBEW7AEml/tnE+ESOHzrOncQ7mFuY09i7cV4Lq/z7yxq2a4i1gzX7l+ynXrt6mFubY25ljqePJ7Z1bDn/13lMTE24FHypQBusovao5bbBqulYk392/MOUuVP09EnoZGVlcXT/UeJux6FQKqjjXgefLj4l3g9X0vjvbeMVFRHFqeOnSEtJw9LaktY+ralbr65e35uo3kp0eMLT05MTJ07g4OCAp6dn8YMpFISGhuo1QH0qcHjiv8LK97VunRywEEJUGUFxoZg1CcHbG+yMHnxK9nzQeX5c/CM7N+8kOyu7wGuNmjYiNT0V7z7edB7cGScvJ47+cpRts7aRHJNccCAF2LnakZ2azdPPPs1vP//Gmp1rUBop754qHdQJJy8nYkJj8P/57qnSXVt28fuG3wkIC8Cmhs0jfwYxt2JYu2wtm37cRHxMwX177p7uDHxjIINGDSrRswqcii0m/txTsf77/Fm7ZC37du0r0M9VoVDQvXd3ho0ZRpenujzy+xNVk0FPxVZmpU7s4G5y51pHZu+EEJVeSU/Jblm7hc/e+YzadWvz6puv0neQrkBxZkYmR/45wrrl6wjYH0Ct2rWoUasGCbcTSLydiHUNax5r8Rih10JRaVUojBRkpWaRk56DKkfFWxPe4nzQeYICg1i5dSUqlarIOnCvv/s6gYcD+Xbmt3y5+EsGjRr0yO89+HQwb/R9g4z0DF587UVeGfkKXo28dAWGT5/n55U/s3PzTjy8PPhh+w+4urs+cMwH1bHTarXM/3w+S2Yt4bEWjzHk7SH07tebGnY1SLmTwp7f9rBu+TrOB51n1IejmDhjIgqF4pHfq6haJLErxkMldgCBgew4YC3JnRCiSgiKK1y4OC1VQUa6Arua2Uz/aDo/Lf2J9t3a88P2H0hNtsTENId9u7YTFRGFq7srfgP82LdzH++/9j6169Ym/Fo4w8YM47NvPsPIyIjs7Gy+m/MdEaERuHu5M+rDUfy09CdmfTyL0R+P5vSx0/x75F/6vNiHQW8OwtzSnKT4JKxsrAi7Gsb679Zz5t8zTJwxkbcmvFUgfpVKxY5NOwrEYmxsfN8OENevXOflbi/j5unGym0rcXRyLPL+sCthjPAbgamZKZsPbsaupl3ec4sb/37PXfb1MuZMmcPEGRMZ9eEoFApFofubtmzK2iVrmf7RdN6b/B7vT3nf8P8jEJWK3hO7/K3DHmTevHklvresPXRil0uWZoUQVUD+JdkmZk1IS1Xw+XhHzv67mITEBSTcjsPE3AQLWwtMFGagbkNG1mlMLLNQGivRqDSYKE0YOXYkpmamfDH+C/wG+LHgpwXA/Wexcmfhdgft5tCeQ6z7bh3h18KxtLLEwsqC5MRkcnJy6PJkF0aOG1loeXLl/JWsWrwqr6tFbiw9+/Qk+lZ0sTNnb/R9g2uXrrHNfxt2Ne3uG6Ormyt9ffsyYPgAPv360we+p+KKEN8Iu0H3Jt15Z9I7fPj5hw8c52TASRZ8sYB/gv/Bs2Hx255E9aP3xO7eosCnTp1CpVLRuHFjAC5fvoyRkRFt27Zl3759jxC6YT1yYgeyNCuEqBLyd6WobVqL8c/8zc3or3Fp7EjosWtMOjQJVZaaTRM3EX89jubPNqfz8C64NL7bSeLCngs0eawJJ/1P0qlnJ37c8eMDuzFMmDqBD0d8yIARA/h41sdoNBqO7j9KyLkQMjIyqGFbgy5PdSkysVk5fyVL5y6lae+mdB7WOa+rxc6vdhJ+Mpy2z7flqVFPFXrmm++9yYQRE5i5bCYDRgwoUceIQ38dYtOPm/AP9ef08dMP1WHim8nfsH7FegKuB2BpZfnA53407SM+HP4hL772Yl5CKQQYeCl23rx5HDhwgDVr1mBvrzvGnZiYyIgRI+jSpQsffvjhw0duYHpJ7ECWZoUQVUJucqe1jmPOK6/T6IlG3Aq5hUUNS0ZvfoeMDDWz2k+jSY/G9JvVD0trywKdJDa8t4HAjYH49vAlYF8ABy8dZOr4qQ/sxlC/QX1+/elXjkcex9i4ZPXpVCoVnRt1pv4T9Rk4fyBGSqO8cVcMXoG1ozXdRnWjSYsmeXvUcp958a+LJMYmcjTsKGbmZiXqGDH568k85f0UX3//NTu37ix1hwm1Wk0Hjw48/8rzTJk7pcSdKho0asCmHzcReCMQExOTh/i3Kqoig3aemDt3LrNmzcpL6gDs7e2ZPn06c+fOLX20lVH+2ndfz5bad0KISsnHB7xVvpxaewUNKjoN9yUuNAavDg3IzlYQ9Nsp0GrpOKwjSiNlgYLDRkojWvdtjVajxaWuC1qtlgN7DpSoG4NzHWeSEpJKVbx3x6Yd5Ghy6Dysc15SB3Dj7A2SbyfjO8wXFHAn8U6hZybEJeDV2AsLS4sSd4xITU6ltlttAg8HPlSHiaSEJBJiE/Dpqtu2U9LnutRxITkpudCJXSFKqtSlvJOTk4mNjS10PTY2lpSUFL0EVWkMGYLfunVw+RQgte+EEJVT/NVMjIyNcGnsjCpbhbGZ7j8NSTcS/ruuK4ty7wJPTbeaAKSlpAEl78aQlZEFUKiEyv1ERUShNFbi3Mi5wPW0eN2znRs7kxCRUGhMJy8nXXmR/0IvTccIMzMzUu6kPFSHidw4TE1NS/XcrMzSfzZC5FfqGbt+/foxYsQItm7dyo0bN7hx4wa//vorI0eOpH///oaIsWIbMiTvS9qTCSEqI1tbD9Q5Gm6F3MbSzoqkm7okxa5uTdQqNdGXdG3I7i3DkRKr+2U+Nxmp7Va7RN0YMjMzdc+taVvkfUVxdXdFo9Jw+/LtAtetHKyA/7pdaMHUzLTQM42NjfNm8kraMcLa1prY6FgcnR0fqsNE7mnaW5G3SvXczIzMAj8vRGmVOrFbvnw5ffr0YdCgQXh4eODh4cGgQYPo3bs3S5cuNUSMlUdR7cmEEKKMaDSaAsVvS2rYsIEo1eYErPGn6dPNOb3tBEptNq36tgGFgqNrjqJRawq0CFNr1Py76V9MzEw4e+IsLnVd8HvFL68bw71x5O/GcHT/UXx7+GJtY13iGP0G+GGiNOHI6iOoNXeXhOu2qEsN5xoErAkALdja300Wc5/p5ulG2NUwgk8HF+gYcb8Yb1y/QWpKKoNGDSrR/fd2mLCwtKDLk1349adfAUr83KMHjtK+W3tq2N1/H5UQxSlVYqdWqzlx4gQzZswgPj6e06dPc/r0aRISEli6dClWVlaGirNyyZ29O7BfN3snhBAGEh19nTVrPmb48Dr062dMv37GDB9ehzVrPuH27bASjZGaaoy1+QTO7bpIauwdUuNSCPzlODEXI6nhXINzO8+x7ZNthJ0IJzM1k7CTYWwct5ELey7wlN9TxMfE06NPD0xNTRk5diThx8LZNHkTkcGRZKVnERkcyabJmwg/Fk6PXj04dewUQ94u3ZYVY2NjRo4dyYU9F9g4biNhJ8PITM0k4nQEGrWGc7vOcfSHo9w4f6PQMz/64iNqu9VmzZI1KJXKB8Y4YswIflquq+PXuFnjB94/cuzIIluRDX5rMEGBQQQFBpXouT379OSE/wmGvCXbecTDK/WpWHNzcy5evHjf1mIVld5OxZZU7ulZkNp3Qgi9UqtVfP/9eHbtWoKlZQ169BiKh0dzAMLDz7F//1rS05N57rmxvP76PIyMjIodKyMDVqyAM2fmkq34ivSUJNRZaqwcrDA3sSy2jt1rb73GoT2HOHXsFC6uLmw+uBmXOi7F1mrrP6g/33z2DeaW5uwI3PFQpz4fto7dT8t+Ytq4acxYOoOBIwcWG+Pr777O4b8Ps3LeSn7c8SNdn+4KPFwdO5VKxQsdXiA1OZWN+zZSu27tYsd5cdCLfDPlG0xNTfnjxB9yIlYUYNByJ48//jizZ8+mZ8+ejxRkeSjzxC6XFDYWQuiRRqNh7tzB+PtvZvjwr+nT523MzAr+nZaZmcaffy5nzZpJdOnyCuPH/3TfBvcZGZCVBdbWKlb/NptDe+aTfieFj2d+TPc+L2NX0yyv84RLXRccHB2YN20eYVfC+Pr7r5n+0XQAPp71MU+/8DTGxsZ53RWsba25GXaT2Z/NRqvV8sveXx6p8f3DdJ7QarVMe38a675bx4ixI3j9vddxqetS4H5TU1OWzl7KH5v+YPKcyYwYO6LQ517c+MWJiozilSdeQaPR8PGsj+nVt1ehzyYqPIqvJ3+NWqVm496NuHm6PfRnI6omgyZ2u3fv5pNPPuHLL7+kbdu2hZZfH/TA8lRuiR1I7TshhN789ts8fvxxApMmbcbX90VAl3SEhp4mOTmOGjUc8fJqjVKp5MiRzXzzzSuMHDmf558vWauqwECo+8w/bF34Df9s/gcLSwueeuEpajnXIjM9k8P/HCbsahgNHmvC/DXf0LRlU6JvRvPRyI8I2B9AzVqO9OjzJA61anAn8Q57d+4l7nYcHbt3ZM4Pc3Cp42LIj6dYWq2W7+Z8x7Kvl5Gemk63Xt3wauyFRq1L2AIPB+Lo7Minsz/lhVdf0Ntzb0fdZuIbEzmy9wgOTg48+dyT2NrbkpyUzN6de4mNjqVD9w7MWTWH2nVr6+25ouowaGKX/7eT/CektFotCoUCtVpd1I9VCOWa2EHhpdlcMosnhCghtVrNm2960rLlk7z//g8AnDmzj9//mEP8nXC0SjUKjREOth688NwEWrZ8gvnzh3H+/CG+++7qfZdkc+XvSuFAFvvW7OPgnoMkJyVjbmFOgyZNSE0ZjbGxLzOXxePofPfv/cBD1/jojS2kJB+jht0dbGpY0aZDGwa/PZhGTRsZ7HMpjbTUNH7f8Ds7ftlBbHQsRkZG1HarzUvDXuLpF57OK1Gib1cuXmH9d+s5GXCS1JRUrG2sad2+NYPfHkzjZo0N8kxRNRg0sTt48OB9X+/WrVtphitT5Z7Y5cp3oELakwkhSuP48e3MmPEC8+adoEGDtpw5s48f14/Ds5MbHQZ0pZaHM7Hhtzm26RDX/SMZMXgBFhbWTJjQnilTdtCu3XMlek7+5K5pXTtcjO/OssXFKPnsnVpERxnj4qpixtI4HJ3VxN024rPRjnevL4vF0an0p3SFEAUZNLGrzCpMYpefLNEKIUphxYr3OHVqN8uXX0aj0TB91nPYeivoN3lQoTZV26b/zJ1gLZ99vIN33mlMu3bP8eabC0r8rMBAaNY7FPfW0QUSO6BQEjd+WiLzp9kXSvaEEI+uNIldqTtP5EpPTyciIoLs7ILVsVu0aPGwQ1ZPPj74+aA7YPH1TTlgIYS4r7S0O9SoUQuA0NDTxN8Jp9eAoUW2qWr/clc2+K/l+vUg7OycSE+/U9SQ93XlMqTWSoK6FEjuHJ3VzFgal5fcTRqli0mSOiHKV6kLFMfGxvLcc89hY2NDs2bNaN26dYEv8ZCGDMHP9ZTUvhNC3JeZmSVZWbo2WsnJcWiVamp5OBd5r1M9Z7RKNcnJcWRkpGBmVrpaoz4+kB3qRew1Oy7cSCIkK6TA647OasZPK9hKa/y0REnqhChHpU7sxo0bR1JSEsePH8fCwoLdu3ezZs0aGjZsyPbt2w0RY/Vxb1syIYS4R4MGbQkLO8vt22HUqOGIQmNEbPjtIu+NCbuNQmNETk4mERHnqV+/Tamf5+MD3ipfbvk3KfRa3G0j5k8r2Epr/jR74m4/+ICGEMIwSp3Y7du3j3nz5vH444+jVCrx8PBgyJAhfP3118yaNcsQMVYv+duSfT1b2pIJIQro2vVVLCxs2LNnBV5erXGw9eDYpkNFtqk6vvkQDrYeXLjgj6WlLV27DkSr1XLxYgCrVn3AvHmvsXDh62zaNJP4+JsPfHbULYhW6frG3rvHbvaKWFxcVURHGfPZaEdJ7oQoJ6VO7NLS0nBycgLA3t6e2NhYAJo3b86pU6f0G111JkuzQogimJtb8eSTr7Nz57dERJznhecmcN0/km3Tf+bGxQiyM7K4cTGCbdN/5rp/JD5t+7F79zKefPJ1Tp7czbhxbZg0qRP+/puJiQnnxo2LbNkyk5EjPfjqq5eIirpa5HPzL8lejIovePp1aRxNmmczY2lcweQuptT/iRFCPKJSn4pt164d06dPp1evXjz//PPY2dkxa9YsFi1axJYtW7h27ZqhYn1kFfJU7IPkPzWbq1EjOWAhRDWWnp7Cp592Iz7+Bp98so2cnKwi69i1at6LzZtn4OjoRvv2ffn556m0bt2LF14YT6tWT+UduEhPT2b//p/47be5pKcnM23abho2fLzIZwfFhdK09xU2fOzLnQRloYMSuTN5tjU1/G9+HFbW1abwghAGY9ByJ+vWrUOlUjF8+HBOnjxJ7969SUhIwNTUlNWrV/PKK688UvCGVCkTu1y5S7KXL0t7MiEEyclxTJ/+PCEhR2ncuAvPPDMKIyNjUlMTSUmJ59SpPVy8eITGjTvRo8dgli8fzYABn9G//5dkZyuwsys85o0bCcyb14fY2OvMm3eSWrUKt7YKigul7UshmGbUpEa2S6E6dWmpCm5GGFHHXV0oqYuLUWJhqa0wyd7DtAgTojyUaR279PR0QkJCcHd3x9HR8VGGMrhKndjlJ7XvhBBASkoOs2b9Rnj4UlJSDhR47bHHepCTM5o6dZ7l3LmGNGvWmTFjNrBypYKUFBgzBuzznXtITIQlS8DMLJagoKZ07z64yJp39ytcnJaq4PPxjpViJi9gfwCrFq8iKioKDRqUKHF1dWXk2JH49vAt19iEuFdpErtH/tXE0tKSNm3aVPikrkrx8bl7elYOWAhRbanVJlhavoyz835atoxgypSjfPPNMebNi8DGZh/wEjdv7iYh4SYvvvgx2dm6pC4hQZfEJf5XqSQ3qUtIgKysWnTr9gb79q0mMzOt0DN9fCA9QHdKNkmdVOC1jHQFdxKUhQ5Q5D9ocSdBSUa6otC4ZSlgfwAzPp2BmYcZQ74dwoSdExjy7RDMPMyY8ekMAvYHlGt8QjyKEs3YffDBByUecN68eY8UkCFVmRm7/Natk6VZIaqx/ElZzZoweDCsX3/3e43mRZKTbzBnzvES3T9mDGRnh/Hmm5589NFGunQpentN7pJsE7OCZVAqekcKjUbDmy+9iZmHGQOmDyjUrWPT5E1khWexcstKWZYVFYbeO0+cPn26wPenTp1CpVLRuLGuafHly5cxMjKibdu2DxmyeGhDhuAXGMiOA/vh8mVZmhWimrG31yVjucna4sW667lJ2syZUbi5NSvx/brl2XqYm1uRkBBV7HOzQ704cySaqPohBZZkK3pHivNB54mKimLIp0OK7NbRaVAn1o1dx/mg8zRv07ycohTi4ZXo15H9+/fnffn5+dGtWzdu3LjBqVOnOHXqFJGRkfTo0YNnn33W0PGKosjSrBDVmr29buYtv8GDC+6hK+39usWc4pdMc5dkY6/ZkaROyqtvBxW7I0ViXCIaNDh5OhX5upOXExo0JMYlFvm6EBVdqeeZ586dy6xZs7DP9zeAvb0906dPZ+7cuXoNTpRCbmHj3Np3ktwJUW0kJuqWU/Nbv1533cGhLuHhZ0t8P8CtW9fIykrHwaEO9+PjA6poF+yM7Apcr8gdKewd7VGiJOZ6TJGvx4TGoESJvWMxWbEQFVypE7vk5OS8osT5xcbGkpKSopegxCPIbUuWW9g490sIUSXl7pmLjPybrKx5eHvPw8jobxIS4NtvtdSv352rV0+ye/d33L4dVmiP3dixuj/zH6jYvXs51tb2tGv3XIliOHgQLtzQzdpV9I4UzVo1w9XVFf/1/kV26/D/2R9XV1eatWpWzAhCVGylLncydOhQDh8+zNy5c/H5b7P+8ePH+eijj+jSpQtr1qwxSKD6UCUPTxQn/4yd1L4Tokq6eTOJKVM+Ij5+A1ptwROsCoUpCoU1Gk1Cges2Nt2xshqNm1s/3n3XGHv7ggcqrK2juXKlGU89NYLXX59TojhyS6CY2aWzbUYbkm5ZFdhTd2+yN2NZbKH6d2Up91SsRwcPOg3qhJOXEzGhMfj/7E/4sXA+m/mZlDwRFYpB69ilp6czYcIEfvjhB3JycgAwNjZm5MiRfPPNN1hZWT185AZWrRK7e+WenpXad0JUCdevn+WjjzqSnZ2OsbEDTz89kg4dniYx8RYrV75PaqouoVMozPDzG8f27bNp0+ZZrl1L5s6dwzRt+gSTJ/+KtbUdoEvuFiyI4erV3hgbRzNv3gkcHFxLFdPxG9fZ/YcJxpiwaHmm1LETQk/KpEBxWlpaXvuw+vXrV+iELle1TuxAChsLUYFkZEBWFkV2gEhKAjMzsLAo+mdv3w5n9OjGqFQ59O+/BgeHITz3HCQk3GLixI4YGZnw0Uc72LIlkKNHR2BsbMpLL33Mhg3TaNy4K25uPTl6dAHu7k358st/yMxM459/fuC33xai1ar44ou/8PRsAegSvpQUcHcvHEdEBFhZaUhMPE1ychw1ajgSZ2qHS9MEWrfLIj44vkBXh4Q4Y+k8IcRDKNPOE5VJtU/sckntOyHKVUYGrFjBfTtA2NjAqFFFJ3djx7YgPPwcI0bsZPXqZ9BqdXvlTp9+hQsXDjN9eiCLF9fl4kWA7cALeHq25JVXZrJkyXRSUo5iZGSPRpOEra0TaWlJaLVabG0H0LjxdN5/3wMLC10sH3+si/eLL6BevbsxhIXBJ5/sA+UcHGqHozTW9ag1UXjQuk99IkNOEXcrTmbDhNADg3aeSEtLY8qUKfj6+tKgQQO8vLwKfIlKYMiQu6dn5WCFEGUuK4sHdoBISdHdd6/4+CjCw8/RtGkXbG11SR3A4sW3CAjYyksvfcLJk7lJHcDzODv7cv36GWxs2mBkFICJySmMjUfj5NSYzMxU+vefTvPmN7C3/wmVyiPvuSkpuqQuIwOmTtUlc3A3qdMYj6NJLwUD5w1l3NaPGbRwKI5tstm5Zi2pZDBg8QDp6iBEGSv1jN2rr77KwYMHee2116hduzYKRcE6R++//75eA9QnmbG7hyzNClFuStIBoqg6dHPnDubgwZ+ZMyeQRo3a8fffuUWGpwOz6NQpCn9/27z7nZzAwcGfixc74+DwGjY2a0lK0i0BW1kFcf58axo23IZW27fI54aF6ZK6jAzd7OGoUfDddxoysp+j+bMKBs8YhLn53TmCqJuX+GfpXyRHpTNq/SgszU0wUZhIVwchHoFBl2Lt7OzYuXMnnTp1eqQgy4MkdsWQpVkhykX+5C7X/ZI6gDFjmnH79nW2bEnPu6ZL7l4CkoG/8q6PHAnnzunGv3bNAhOThrRqdZYhQ3ST9QkJcP16bWxt36ZBg/8V+9z8yR2ARnMSc7uhvPPjUOo1v7v5LisrnZjY62SmZbH5w828+s0QGrb3wERhAkBkcCTrxq7j66VfS1cHIUrBoEux9vb21KxZ86GDExXQvUuzUvtOiDJR2o4RADk5mRgZFewG+dRTULNmOnD3F9Zu3eCFF/KPb4xGk8ngwbq9crnXlUorNJr0+z63Xj3dTN1dcdjYqnFt4FzgPrVaBQottRvWBiApNpXUdDWZmkxAujoIURZKndh9+eWXTJ06lfT09AffLCqP/wob+zW6hF+jS9KeTIgy8KAOEEWxsLAhOzuzQHHdv/+GhAQ74G43hYMH4fffdeNpNBq02kyUSmvWr9fNwK1fD1qtGrU6DqXS9r7PDQvTHfa4y5GUO0ZEXb1d4D4jI2PQKrh15RYKBTjY10KbaU5ODuRoc6SrgxBl4KFaiu3ZswdnZ2eaN29OmzZtCnyJSszHJ+9L2pMJYVgl6QBRlA4d+qFW57Bvn64Y/N09dr2Ao/j4XMu7d9UqXVKmVn8PqKhVqz8xMbpl1ZgYUCp3otHcoXbtXsU+9949du+/D5aWrclK9WDv6kNkZt5NMM3MLDFSGHN0rT+2TvbUbVYPTZYZCo2RdHUQooyUeo/d559/ft/X//e//z1SQIYke+weghywEELvkpLg228LH5S4N9l79927de6SkxNYs2Yi/v6bSU9PBsDY2AqV6klgPuCCuXldevUajqPjXFatuvs8a2tPMjJuMGdOBv/7XzxpaauALSgUFwBo3Lgrqal9uXPnBllZf2BunoCZmRkODo8RFjaKnJxnsbQ0yit5kv9UbNOn3Og5rCuuDZ2JCbvNkQ1/c3rnCRq0a0yf9/tjVcuZhLjrnNzqT2RgGNNmTZOSJ0KUktSxK4Ykdg8pN7kDOWAhhB6Uto7d/PnD2L//J0CLjY0DWq2W1NQETE2tyM7WtRJzde1Cp05d2bp1NhMn7uC333r/V/LkHWA5HTu+iK2tK3v2LEerNcbKqilpaSdp1+45rlz5l6Sk24ACO7vu9OzZBa02k6CgA4SGBqJQuDN69Cp69XoyL87i6tg52HrQvGlPzl3YS/ydcLRK3XVTSye6Dn+avsNb0sSsSdl92EJUAZLYFUMSu0ckp2eF0JuSdp6YNq0Pp07tpnbtBowZ8x0tWjyBRqPh7bcbER19DXf3DmRm5hATcxIXlwa4uTXh9Ok99O37KUeOHCA6+mDe9VOndvPCC58QF5fIoUPf8vzz47l69QRXr57475/PcebMH4wdu4onnxwBwKlTJ9iw4ROuXj3ApEmb6dChb16cRXWe8PJqjVKpRKPREBpa8PrZhDDavhQiiZ0QpWTQxE6tVjN//nw2bdpEREQE2dnZBV5PyH9uv4KRxE4PZGlWVHOP0gqstH7+eRobN35O06Zd+OijA6SlKfNae6lUKj7+uBOXL+v2wFpY2JKRcQc7O2eyszNJT78DgK2tM+7uzQgOPkDz5t24cMEfUDBgwOdER4dw5MgvTJ++Fw+Pjly9quHvv9/h0KFVzJ7tT+PG7QGIi8vhu+8Gcfr0HyxYcJq6dR8uMQuKC6V2pxCa1rXDxdjlkT+fe0mLMFFVGTSxmzp1Kt9//z0ffvghkydP5rPPPiMsLIzffvuNqVOn8t577z1S8IYkiZ2eBAbC5csyeyeqnUdtBVZaAwfqCg0vWZLIp58qi2ztdfjwKebPn4BKdRhQAaBUGmNt3Q5T0yZoNHtJSIjAyMgEZ+cG3LkzgszM12nePJOzZz0YOXIeTz75HnPnwqlTYG+vwti4OV5ezZk0aVPe+7K0zCQoyBNf3/68/faSh35PQXGhmDUJwdsbvc7cBewPYNXiVURFRUkbM1HlGLSO3fr161m5ciUffvghxsbGvPrqq3z//fdMnTqVY8eOPXTQohLx8ZHad6JaepRWYKUVEPAr6enJPPnkSNLSlMW29lq5sg1GRvuws8thxIhfAHj66fdo0iQAO7sfsLH5CKXSiO+/v867714gK+sjNBoHzpxZgbGxOT17DufqVV1Sp1ZDYqIxbduO5tixbYSGRuW9r/R0c7p1e5P9+9fmHd54GK0cvcgK0e9SbMD+AGZ8OgMzDzOGfDtE2piJaq3UiV10dDTNm+sqhltbW3Pnjm66/7nnnmPnzp36jU5UbEXVvpPkTlRhdna6mbr8ZUmuXy94knXMmKKXaUtr925d4bghQ6bj7q6bqbOwuJvcHTlSsAzJF19Av34DMDW1ICjot7w4Y2J2YGPzFMnJdfjtN6hdG4yMAHag1fbn1KkafPMNKJW667VrQ1TUUNRqFQsX7i7wvp59djgZGakEBx985PcXdQuiVdGPPI5Go2HV4lV4dPBgwPQBuDVzw8zSDLdmbgyYPgCPDh6sWryqQN0/IaqyUid2devW5datWwDUr1+fv/7Sta/5999/MTMz0290ouK7t/YdO6SwsajS7O0LJneLFz+4v+vDSE1NwMjIBHNz3baRevUKJncLFxZM6nKXZy0ta5CRkZoXp1KZiFbrlhdn7dowbRooFIloNG5541ha6q7Xrg3JybYolTVITk4o8L4cHOoCkJLyaHups0O9uOXfhCNnkgjJCnmksc4HnScqKopOgzsV2k+nVCrpNKgTUVFRnA86/0jPEaKyKHVi169fP/bu3QvA2LFjmTJlCg0bNmTo0KG8/vrreg9QVDL3LtEKUQU9TCuw0jIxMUerLTjLVLi1l+77/Hvu1OocjI1N8uJ0djZDq80oEGeLFmBnZwZkFBinRQvd61qtFo0mE4XCvMD7ysnRtQYzNTV/pPfm46O/JdnEuEQ0aHDydCrydWljJqqbUid2X331FZ9++ikAr7zyCocPH+add95hy5YtfPXVV3oPUFRC/y3RytKsqKoephVYaXl6tkKjUXPq1J68a4Vbe+m+z91zl5gYTUpKAi4u9fPiTElpSkbGQbRaVV6cZ8/qrms0e8k9P7dihe76+vWQmekPZGNq2rTA+zpzRvdLfd26j+ntfT7qkqy9oz1KlMRcjynydWljJqqbUp+KPXToEL6+vhgbF2xCrVKpCAgIoGvXrnoNUJ/kVGw5kNp3ooq5tzvE4MG6ZCghAezsVHh4zObatYNkZqZhZWVLly4DeeKJoUWOlZOTxfHj27lxIwSVKgtr65r4+Pjh4FCH/fvXsXTpW9jZufDyy59Qp05fFixwz1t+HTVKl4zlX4799dfBHDz4M19/HYCzc0eWLIGoqFPcuNGWN974jbNnX+DWLdDtptmDStWbwYP92bnTl/R00Gh0S7FpaYMwMjpBvXohJCYq85Zj5817iqysNL7+Wj+HEQIDwdI3gFr1k3Ct/XCnZDUaDW++9CZmHmYMmD6gwHKsRqNh0+RNZIVnsXLLSil9Iiotg5Y7MTIy4tatWzg5FZz2jo+Px8nJCbVaXfqIy4gkduUkN7mT2neikiuuFditW+lMmvQqSUm70JUcUfxXpFf396GZmRU9e45g1KiFKJVK0tLusHXr1/z11/fcuRODnZ0zJiZm3LkTS3Z2BkZGxqjVKoyMTFCrc1AqTdBo1CiVflhafsLMme3zWnvlHqAwMblIenoLbG0dWbjwVoE44+M7oFZnMGyYPzNmWKNWg1Kpwc6uMS4urgwY8Ddffmn63/WjQDeGD59N167j85JYpfJPLl9+hvHjf6JHD/3+/zgoLvSRChfnnor16OBBp0GdcPJyIiY0Bv+f/Qk/Fs5nMz+TkieiUjNouROtVotCoSh0PT4+Hisrq9IOJ6oDWZoVVYSZma5OXf6kLjk5jo8+8iApaTumpnVp0uQ7NmxQ8dtvKrZsyWLAgMmYmpqza9e3jB/fhri4m3z8cWf++GMRXbq8wpIlF1i7Nprp0/dhZ+eEmZklNjaOKBQKBg6c8t9eOzUWFiOBq2RkdCE8fANw90CFickpUlPboNVq+OijXwrF+d5733H79nU2bnwWO7sEjIygbVslY8f+wKVLx/j99xdp2TINpdIfjeZZ6tdvT58+7+Q7gLGLq1dfom1bP7p2fdUgn21sqN1DL8n69vDls5mfkRWexbqx65jz7BzWjV1HVniWJHWi2inxjF3//v0B+P333+ndu3eBE7BqtZqzZ8/SuHFjdu/ebZhI9UBm7CqA/LN3AI0ayRKtKDP66BqRfwyNRsOIEXVJTLxF//6zeeyxibRoUXCMxEQ4fRr8/Qfx778bMDOzwtrajg8//Iu0tKY0agRGRvFMmNAeIyMjPvjgL+Lj3Thx4kP++msBQ4fOYuPGL8jOzsDKqg6Oji5ERJxm/Ph1qNXZbNo0i1u3LqFQGPHxx5vp2LFf3nOjosDLSxfPxYsBTJ/uh0qlwtt7OM8/P5JGjbw4efJP5s9/DY1Gg1qdg6dnO6ZO3YaJiTnnzu1n166lnDu3n7Zt/fj4442Ymen/7878S7KP0pVCOk+IqsogS7EjRuj6Bq5Zs4YBAwZgke9vLlNTU+rVq8ebb76Jo6PjI4RuWJLYVRD5SqFIezJRVgzRNWLLlq9Yu/YTevWayKFDs8nJ0ZUMadHi7rjjx+uWMnWzaPWJiwvl7bc3sGXLQOLjwcEBOnb8jH/+WcyXX57hq688iY+HmjW1eHm9wtWrh5kx418mT/6AhITfgex7ojDC2Lg7LVosZtKkx/LKoSxeDMHB4O0NY8fq3lN8/E1+/XUJu3d/j0oVW2AUW1snMjJSyM7OKHC9adPO9Okzms6dB2CkK4BnMIZuOSZEZVWaxM74vq/m8+OPPwJQr149JkyYIMuu4uHlm6HzIxAu72DH1zflgIUwqHu7RuQmd/kPQ+TeV9LEbseOhZiYmNO16yz27tV1bpg27W5yd/Jk/nE1mJnpfo/euXM58fED0WohLi6LvXu/p2fP4cTH65I6rRYSEhT06zeVf/9tzqFDASQnbwI0KJU/0rTpboKDt9C582jOnp1LVpY5oaEQEwMeHro/g4N1CV5w8N3rSmUdYmJm4uHxP4yND/PEE7HY2pri7OyFl1crsrMzCA4+RGpqAiYm5tSt2wR396b6/ldRrOxQL0zaPHrRYiGqs1IfnsjIyECr1WL534xXeHg427Zto2nTpjz99NMGCVJfZMauApPTs6IM3O9Ea2kLDEdGXmTMmKZ07foqEyb8zNmzuoROrdZ1cBgyRLelVK3WJWpGRv6o1Z2pUcOD5OQbmJioUKlAqfwNtbofI0de4NdfHyMtDVQqMDYGKyuwtu5KdLQlSuXuvFOrLi5aIiKaoVK1xcbmJ5KSdEvDTk5331NMDEVeN0QxZX3R15KsEFWNQQ9PvPDCC6xduxaApKQkfHx8mDt3Li+88ALLli17uIiFyD1gIYWNhQHps2vEtWunAGjb9hlAN0M3bZouqVOrYc2au0ne2LFgZnYdgJSUzoAaC4tsJk0CE5PrgBXr1j1GRoYumZs0SfdnRgbcutUOtTqsQGeIxEQF6emPk5YWhpOT7gCFk1PB91Tc9Yqa1IHud7r0AF+9daUQojoqdWJ36tQpunTpAsCWLVtwcXEhPDyctWvXsmjRIr0HKKoRHx9d71lpSyYMSF9dI9RqXcFfIyOTvGstWhTeLjpkCDz1FHTrpvrviikAr7+eja8vtG+vAu7uXRs1Cnx983eYMEKrVRXoDJH/+uDButOxRb2n4q5XxKQuV/6uFMHBEJIVopeeskJUF6VO7NLT07GxsQHgr7/+on///iiVSjp06EB4eLjeAxTVjI9PwbZkktwJPdNX14g6dRoBcPnysbxrZ88WnnBetw7+/hsOHdItK2q1pwAFq1dbExAA//7rAiSj1eqSlxUrICDgbocJrfYyCoVLgc4QADk5lzE2dmH9el09u6LeU3HX9dkhw1BaOXqRsusZYkPtyjsUISqVUid2DRo04LfffiMyMpI9e/bk7auLiYl54LqvECUmS7PCAO7dYzd27N1l2SVLSpfwNGnSEQsLa/bt021NuXeP3bBhd5dlFy+GzMwegCNwFqWyKWlpMHs2ZGf7ARb4+HyPhQV519PSwMwsCq32D8zNB5Kerhv/1i0wNz9PZmYALi4DiYnRFSmOiSn4noq7/jDvtTxFRUGSOqm8wxCi0ih1Yjd16lQmTJhAvXr1aN++PR07dgR0s3etW7fWe4CiGrt3aTb3S2bxxENISiqY1I0ZA56eBffcLVmiu6+kunUbQmpqAj///EuBpG7aNOjfH0aP1h2cAFCrzXB0rANo6d37Q1Qq3WtqtR0tWw7i4sXljByZmnddpYKmTRdhamrGhAmvodHoxr91C8zM5mFn58y77/YjKUm3Fy8pCV57TfeeXnuNIq8/ynstDz4+oIp2yVuSFUI8WKkTu5deeomIiAhOnDhRoBhxz549mT9/vl6DEyJvaXZiU91X7hKtzOKJUiqqawQUPFBhY6O7r6SGD5+NiYk5mzYNRqk8lJfU5daxa9tWNy6AkdEy4uLOoFAouXRpBfb2SSgUujp2r776Eenpyfz110vUrJmOQgFWVus4dmw2/fp9hLe3LW3a6JJGc/OFnDz5AwMHTsXV1RRvb115Fm9v3UEJ0P1Z1PVHea/lJf+SrOy1E+LBSl3upDKTcidVRGCgFDYWD0XfnScALl/+l0mTfNFo1Hh59WX8+Pm4u3vk3X/y5L98992HREcfxtLSlkmTNvP11wOwtnamVavPeOmll3F2NufMmb1Mn/48NWu6Y2LiRkTE3/TsOYKxY79HqVRy+vQpNm+eT3DwOvr1+4jhw2ejUCjIyIDQUHB1LXgoIiMDYmOhVq2C76m466X5DMpaYCA0eCmAhg2REiiiWtJ754n+/fuzevXqEu+hGzx4MPPnz8cp99dEPVqyZAnffPMN0dHRtGzZksWLF+NTwrpnkthVMVL7TpSx4rpXXL58nk8/fYbs7AgAbGwcMTU1IzMzjbS0JACsrduwePF+HBxqcOXKRWbMeJ+EhL+xtnbgscc6YmJixo0bIUREnAfAyMiGli27YWZmyq1b1wkLO42pqRuDBn1G//5v5cVUmq4Zhui+UVaC4kIxaxKCtzc0MWtS3uEIUab0Xsfu999/JzY2luTk5Ad+3blzhx07dpCamqqXN5PfL7/8wgcffMD//vc/Tp06RcuWLenVqxcxMTF6f5aoBOSAhShj93avyD2AYGbWDEvLcExMTmNs3BOFwoTs7AxMTa2oWfMV6tW7SdOmJzEy0v2FXKvWYzRo8Bfu7pewth5BTo6C9PRkatduTv36G6hb9wSOjiNQq7VkZqbi6tqUhg1/w80tlAsX3sp7bv7DICkpuvgeJv7SjlMecpdkzxyxk/12QtxHiWbslEolCoWiVANfuXIFLy+vhw6sKO3bt6ddu3Z8++23gK7hs5ubG2PHjuXjjz9+4M/LjF0VlX9ptlEjmb0TBlVc94rSdnoobRcMfXXN0Gf3jfIQFBdK25dCZNZOVCt6X4o9ePBgqYPo0KEDZnrcmZudnY2lpSVbtmyhb9++edeHDRtGUlISv//++wPHkMSuipOlWVFG7u0vC7qkKLeN2L3Xi0uWihtHX/eXNv6KntSBLMmK6qk0iZ1xSQbs1q2bXgJ7FHFxcajVapydnQtcd3Z2JiSk6Gn5rKwssvKtKSQnJxs0RlHOhgzBLzCQHQf2w+XLcrBCGExu94rFi+9ey9/p4d7rxSVLxY2jr/tLG39FT+pAtyQbFALBhIC3zNwJca9SlzupTGbNmoWtrW3el5ubW3mHJAztv9p3RN2U2nfCYIrrXlHaTg+l7YKhr64Z+hqnvOS2HBNCFFZpEjtHR0eMjIy4fft2geu3b9/GxaXo4++ffPIJd+7cyfuKjIwsi1BFefPxuVv3Ln/tO0nuhB4U172itJ0eStsFQ19dM/TZfaO8SeFiIQqrNImdqakpbdu2Ze/evXnXNBoNe/fuzet+cS8zMzNq1KhR4EtUQ3J6tlxdu3aaZctG89lnTzBxYiemT3+Bv//+gays9PIOrdSK615R2k4Ppe2Coa+uGYbovlFecmftJLkToqBKk9gBfPDBB6xcuZI1a9Zw8eJF3nnnHdLS0hgxYkR5hyYqunvbk8nsncGFhgbx0UcdGT++Df/+uwM7O2dcXRuSkZHCt9++wfDhddi48Qs0Gk15h1pixXWvKG2nh9J2wdBX1wxDdN8oT7IkK0Rhla7zxLfffptXoLhVq1YsWrSI9u3bl+hn5VSsAOT0bBkIDj7El18+i4tLfV59dRrt2j2HkdHds1rR0aHs3Pkt27cvoGvXVxk//ieUysrxe2Zx3StK29GhtF0w9NE1Q5/jVBRBcaHU7hSCa205JSuqLr2XO8nv9u3bTJgwgb179xITE8O9P65Wq0sfcRmRxE7kkbZkBnP7dhjjxrWmfv02fPjhdhQKq2KTiFOnNrNo0UBeeukThgyZXtahPlBRSVDuNSicBFXGxKgqkBIooqrTe7mT/IYPH05ERARTpkyhdu3apS5cLESF4OODnw+62buvb8rsnR798ccilEojxo/fytq1Vg9oX/UyL7wQxO+/z6dv3wlYW9uVW9z3Kqr9Vu613PpvNWvebb9V0VtyVWW5JVDwlr12QpQ6sTty5AiHDx+mVatWBghHiDI2ZAh+69ax4wC62neNGumuS5L3ULKy0vnnnx/p1WsURka2BdpX5SZH9xbHfeGFd9m+/Wv271+Ln9975fsG8rm3/daYMaBQ6L6/dEn3z40a6e7LzCz4nrKyJLErD1G3wK5uNC7GRVdKEKI6KPWmFjc3t0LLr0JUav+dmvVjB36X5949PSsHLErtzJm9pKUl8dRTI7GzK3za8vr1wqcy69WrTbt2z+Hvv7m8wy+gqPhzS4EoFJD71+C95UPGjCl6/5owrFaOXtzyb8KRM0lySlZUa6VO7BYsWMDHH39MWFiYAcIRopz4+Oj22g0Zoqt9xw6pffcQkpJiAHBx0fWJzn/aMiFB1+mgqJ6kLi71uXMnprzCLlZR8aek6GbqGjfW/XNx70mUvdxTsrGhdkSross7HCHKRYkSO3t7e2rWrEnNmjUZOHAgBw4coH79+tjY2ORdz/0SokqQ2ncPxdjYBACN5u4hqtz2Vfnd275KrVZhZGRSFiGWWlHxDx+u+8qvsrTkquqyQ73KOwQhylWJ9tgtWLDAwGEIUQH5+OBHIDsO3NQld40ayd67B8idqbt06Rje3roe08W1r8o/u3Xp0rG8n61oiop/9erC9937nkT5iTjlwu30ELy9k+SUrKh2SpTYDRs2zNBxCFEx5T89e6BN3jVRtMce60SdOo35889leHt3K7T/bPBgXQKU/0BCfPxJLl8+zqef/nbfsVWqHM6c2UtCQhQAjo51adHiiQL18fStqPhXr9ads9Fqdcuxw4cXfE/9+oUQG3uSzMw0rKxsadq0Cw4OrgaLURSk+7+n7pRsMCHgHYKdkZ0cqBDVRqn/RjQyMuLWrVs45ZZW/098fDxOTk4Vuo6dEA9tyBD8AgPZcWC/7r/qUvuuSAqFgj593uHHHycQFHSaP/5oXWj/2Zgxd5Olb7/VkJMzDUfHurRr92yRY965E8vOnd/y118rSUi4VeA1B4c69Oo1imeeGUONGg56fS9Ftd/Kre6k1d79Z3t7GD1ay/Tp2zh37lsCA/cXGMfIyJj27fvy/PPv07RpZ73GKIrXytGLwF1enEkKoFb9JKiLJHeiWij14YniTsRmZWVhamr6yAEJUWH915aMqJtyavY+evV6E0/PVsyb9wxwptj2Vfb2Km7eHMWZM7t4660lRc68RUScZ/z4tvz++zw6dOjHwoVn2LYth23bcpg//xSPP/4sv/46mw8+eJybNy/r9X0U1X7LzEz3fePGupX5mjXB2FjF+vVvcvXqixgbq2jWbANr1qTw++8a1q2LZeTI+URGnufjj7uwbdtcvcYo7s/HB9IDfDHJsCvvUIQoMyXuPLFo0SIAxo8fz5dffom1tXXea2q1mkOHDhEWFsbp06cNE6keSOcJoTf525LlkiXaPElJMXz+eR8iIi7g6zuYvn1HU7++bik7PT2Z/ft/YseOJdy+fYWxY1fxxBNDC40RGxvJRx+1x8bGkXHj/sTEpA7u7oWfFRQUzvLlfcjOTmXOnOPUrFmbxETdidWi7o+I0CVs+ffClaZN2L2dJ1avHs2ePSt4++0faNp0aKGWYhkZcPu2hr17P+P3379i9Ojl9O791n+fk3SqMLTAQLD0DaBlZ9lvJyovg7QU8/T0BCA8PJy6detiZGSU95qpqSn16tXjiy++KHHf1vIgiZ3Qq8BA3bIs6JI8aU9WQEZGKjt2LGT37u+Ii4vE3NwKExNz0tISAQUdOvSjX78JNG5c9N8Zc+cOJjj4IFOnnuCrr1zIyIAvvoB69e7eExYGU6eCqekNsrIep127Z3nttVV8/DH3vd/CAr76qmA3ift3yCi6m0RIyFEmTvTljTeWcf3624XGyMjQlUMJDoZmzbRYWo7mwIEf+fHHm6jVDtKpoozkJne16ifRtK7stxOVj0Fail2/fh2AHj16sHXrVuzl6Jeo7nx88mbp/EDak93DwsKaAQM+48UXJ3Hq1B5u3rxETk4WNjYOtGv3LA4OdYr92aSkGPz9NzN06FcYGemSuowMXVKWm6zlJmkZGQB16dr1Pfbs+ZKnn55DRob9A+7XJXL29kV3mCiqQ0ZR3SR27VqKi4sXnTuP4uzZwmPExOiSuowMOH9ewcSJn7N//w/88cdqQkM/lE4VZcTHBwIDfDFxDSjvUIQwuBLP2FUFMmMnDC53iVZm7x7J1q3f8PPPU/nxx5vY2NQskJRZWOhmuFasuPv9F1+Are1tRo504/XX5+LtPfaB9+efybvf6d3iCg+npiYxdKgzr702g379JhQ7RkyMbsnVzg6cnECtHsL58/9St+4lKWpchmRJVlRmel+K/eCDD0r88Hnz5pX43rImiZ0oE4GB7DhgLcndI1i8+A3Cw88xZ87xvGv3zrhB4STtvfda0qxZV956a3GJ7s/v3hk6uH83ievXz/D++62YM+c4jRr53HeMIUN0520SEuDOnZXExr5Fu3Yq3n1XKUldGQqKC8XYJVqWZEWlo/el2HsPRJw6dQqVSkXjxo0BuHz5MkZGRrRt2/YhQxaiCslf+06WZh9KTk4WxsZmBa7Vq6ebeVu48O61UaMKJmkmJmbk5GSV+P78cjtMLF5899r9uknkPsfE5G6cxY1Rr97d6wqFGaBl4MAc7O0LvkdhWK0cvQgM8MLENYAkdZIkdqJKKlG5k/379+d9+fn50a1bN27cuMGpU6c4deoUkZGR9OjRg2efLboOlRDV0pAh+LmekrZkD6FGDUfi4iIKlFcKC9Mtp+a3YoXuOuhO58fFRWJj41Ci++9VXIeMxMSi7899TmxsxAPHCAu7e12likChsOKXX8yKHVsYVsQpSehE1VXqOnZz585l1qxZBQ5P2NvbM336dObOlRpNQhSQ23M2t/adKJEOHfoSExPO2bO6Yr/37rF7/33dn7kHJMLC4PTpPSQmRtOhQ98S3Z/fvfvjxo7V/Zl7GKKoBMzFxQsPD2/++efH+44RE6N7ZkwM2NtrUCpXU7Nmv/uOLQwnd/I8OBj2hYUQrYou34CE0LNSJ3bJycnExsYWuh4bG0tKSopeghKiSvHxwW9iU/zYAV/P1u3izv0SRWrWrCtubk3ZsWMh4eHaAknaF19A5866P3OTtSlTtGzatJD69dtgbu7zwPunTtXVs4OiO0x4eur+zJ/cJSUVjFHXZWM0gYG/c+XK9SLHeO013c9lZOj+bN16J3Fx1xg9evR9xxaG1crRi5RdzxB7zY4kdVJ5hyOEXpU6sevXrx8jRoxg69at3Lhxgxs3bvDrr78ycuRI+vfvb4gYhaga/lua9bs8F7/Lc2WJ9j4UCgUDBnxGYOB2jhyZg4VF4YMP9erpvjc316JWf0lIyF+8/PKn1KihuO/9ua/Z2OiuF9VhAu52yKhZU/e6WRHb4bp3H0LNmnVYtKgf5uYJhcZwcgJvb93zvLwusXHjSJo3787jj3d44NjCsHx8QBUtS7Ki6il1uZP09HQmTJjADz/8QE5ODgDGxsaMHDmSb775BisrK4MEqg9yKlZUKPlPzzZqJAcsirBu3WQ2bZpBt25v0r37RNq2bVDg9Rs3LrFmzVccP76awYO/5JVXJgPorfMEPLg7RHh4MJ9+2h0bG0defvkrund/rkB7tKSkdHbv3sD27ROxt3dh1qxDeX1tpfNE+QqKC8WsSQje3kgJFFGhGaTzxL3S0tK4du0aAPXr16/QCV0uSexEhZS/PZkkd4Xs3LmEn3+eSkpKAi1bPomHhzdarZawsLOcO7efGjUcee21mfTq9Wa5xRgVdYUFC4YREnIUR0c3Hn/8GSwsbLhzJ5bjx38nPf0OHTr0Y+zY77G2lvomFYnUtxOVQZkkdpWRJHaiwpLad/eVlZXBkSObOHDgJxISogAFDg516NFjKJ07v1yg5Eh5unr1JLt3L+fq1ZNkZaVhYVGDFi2eoHfvt3Fx8Szv8EQxguJCaftSiCR2osLSe2LXv39/Vq9eTY0aNR64j27r1q2li7YMSWInKrTc5A5k9k6IMiRLsqKi03uBYltbWxQKRd4/CyEMIH9h4wN3rwkhDKuVoxeBu7w4kxQAnWXmTlRushQrREUkS7NClDlZkhUVVWlm7Epd7uSHH37g+vXrDx2cEKIEfHzuFjaW2ndClJngYAjJCinvMIR4aKWesWvYsCGhoaHUqVOHbt260a1bN7p3706DBg0e/MPlTGbsRKWUr9bdjqg2MosnhAHl329nZ2Qn/WRFhWDQGbsrV64QERHBrFmzsLS0ZM6cOTRu3Ji6desyRP5jI4T+DRmS9yXtyYQwrLyuFKF25R2KEA/lkfbYpaenc/jwYTZs2MD69evRarWoVCp9xqdXMmMnqgypfSeEwUhtO1HRGHTG7q+//uLTTz/F19cXBwcHPvnkE+zt7dmyZUuRPWSFEAbwX3syaUsmhP7lthvL3W8XrYou75CEKLESlTvJr3fv3tSqVYsPP/yQXbt2YVdUDx4hhOENGYJfYCA7Dvy3NCtbIYTQm9wSKLGWAdg1LO9ohCi5Us/YzZs3j06dOvH111/TrFkzBg0axIoVK7h8+bIh4hNC3I+PD34Tm+LHjrunZ4UQepWkTirvEIQosUfaY3fu3DkOHjzIvn37+OOPP3BycuLGjRv6jE+vZI+dqNJy993JqVkh9Ea6UoiKwKB77AC0Wi2nTp3i77//Zs+ePezfvx+NRkOtWrUeKmAhhB7ce2pWat8J8chyT8meOWLHvjDZbycqvlLvsfPz88Pf35/k5GRatmxJ9+7defPNN+natavstxOivOW2JQsMhMs7gP9q3/33mhCi9Hx8IDDAl1gCuEAS1EXq24kKq9SJXZMmTXjrrbfo0qWL9I0VoqLy8clL5HQHLPbD5cuyRCvEQ8pN7kxcA8o7FCHuq9SJ3TfffGOIOIQQhuLjgx//nZ79erbUvhPiEURFQY5FkszaiQqr1ImdEKISyl2iXbeOHQfuXhNClJwsyYrK4KEOTwghKqncAxZS2FiIh+LjA+kBvljHNpEyKKJCksROiOrGx+fu6VmpfSfEQ7lyGaJuIadkRYUjiZ0Q1VFuYePctmSS3AlRYj4+kB3qRew1Oy7cSJLkTlQoJdpjl5ycXOIBH1Q4TwhRgeS1Jfvv1Gy+60KI4vn4ACpfgvxDcX0pRPbaiQqjRImdnZ0dCoXivvdotVoUCgVqtVovgQkhysh/p2bhku77y5fZ8fVNOT0rhBCVUIkSu/379xs6DiFEecqfwPn44Jd7elZq3wlxX9mhXpw5Ek1U/RCa1rWTmTtR7h6pV2xlI71ihSiFwEB2HLCW3rNCPEBgIFj6BtCyc5L0kxUGUZpesQ9dxy49PZ2IiAiys7MLXG/RosXDDimEqEjy176TpVkhiuXjA0HRLkBSeYciROkTu9jYWEaMGMGff/5Z5Ouyx06IKmbIEFmaFeIBZElWVBSlLncybtw4kpKSOH78OBYWFuzevZs1a9bQsGFDtm/fbogYhRDlLbewcdRNKWwsRBFyCxfHXrOTwsWiXJV6xm7fvn38/vvvPP744yiVSjw8PHjqqaeoUaMGs2bN4tlnnzVEnEKUGa1Wy4Fz51j255+cvHaN9KwsbC0teapVK97p04em7u7lHWL5kKVZIe5LlmRFRVDqxC4tLQ0nJycA7O3tiY2NpVGjRjRv3pxTp07pPUAhylJQaCiD587lQmQkTd3ceLFjR6zMzYm9c4fN/v58u3Mnvdu0Ye348dSytS3vcMvHvUuz+a4LISA4GKIcZElWlI9SJ3aNGzfm0qVL1KtXj5YtW/Ldd99Rr149li9fTu3atQ0RoxBl4vilSzw5dSqNXF05MHMmXZs1K1C/cd7IkfwaEMC477+n06RJHPnqK5zs7Mov4PL0X2Hj3Np3Ow5Y69qTySyeqOZaOXoRuMsLtW8ASbWTACS5E2Wq1OVO1q1bh0qlYvjw4Zw8eZLevXuTkJCAqakpq1ev5pVXXjFUrI9Myp2I4iSkpNBk9Gga1q7N92PH3rcgd+ydO7w8ezaNXF05OGvWA4t3Vxvr1rEjqo0kd0IAQXGh9HxF12pMEjvxqAxa7mRIvuWWtm3bEh4eTkhICO7u7jg6OpY+WiEqgB/++Yc7aWksHDWK12bNgqys4m82M2PW0KG8vmgRxy5domMTqVsFFG5PJkuzohrLDvXi4MFoWnZOAiS5E2Wn1Kdiv/jiC9LT0/O+t7S0pE2bNlhZWfHFF1/oNTghyoJGo2HZn38yoHNnrM3NISuLL42NWWdhUejrS2NjyMqifaNGeLm4sHTXrvIOv2Lx8bl7evbr2brKrUJUQ7mnZM8csePCjSSiVdHlHZKoJkqd2H3++eekpqYWup6ens7nn3+ul6CEKEsXb9wgNDqaYU88kXfN08SEJqamhb48TUwAUCqVDO3Rgx3//lteYVdcPj74TWyKn+spOLBfkjtRbeUmdyYZduUdiqhGSp3YabXaIvcUnTlzhpo1a+olKCHKUuJ/v6jULeVWgjoODtxJS5Oi3MXJrX13YL/UvhPVWlQUUttOlJkS77Gzt7dHoVCgUCho1KhRgeROrVaTmprK22+/bZAghTAks/9m4TKysrAwMyvxz2VmZ2NibIxSWerfj6oPHx/8CITLO6T2naiWfHwgMMCXMwRIVwpRJkqc2C1YsACtVsvrr7/O559/jm2+Gl6mpqbUq1ePjh07GiRIIQypvosLpsbG7D17lufatSvxz+09e5Zmbm5yKvZBfHx0CZ7UvhPVVG5yZ+IaUN6hiGqgxIndsGHDAPD09KRTp04YG5f6QK0QFVJNGxsGdO7M8j//5Jm2bUv0M7cSEtgeGMiSt94ycHRVSFG179atk+ROVBtRUVDLK0lm7IRBlTo769atG9euXePHH3/k2rVrLFy4ECcnJ/7880/c3d1p1qyZIeIUwqBGP/MM6w4cYMOhQwBcz8kp8r7rOTlotVrm/f47VmZmDO7WrSzDrPzyLcNKezJRneS2GztzBFmSFQZV6s1BBw8epHnz5hw/fpytW7fmnZA9c+YM//vf//QeoBBloWOTJrzn58fMzZuJzclhck4OQzIyCn1NzskhIiODP/79lxVjxmAjha4fzZAhd0/PygELUcW1cvQiPcCX2GtSAkUYTqk7T3Ts2JGXX36ZDz74ABsbG86cOYOXlxeBgYH079+fGzduGCrWRyadJ8T9qNVq3l+5kiW7dvGYmxuvdu1Kd29vLM3MSEhNZcPBg+z4918SU1P5YvBg+t+zp9TSzAz3WrXKKfpKLjBQtzTrWkeWZkW1EBQXSu1OMnMnSqY0nSdKndhZW1tz7tw5PD09CyR2YWFhNGnShMzMzEcK3pAksRMPotVq2XPqFEt27WLniRPk/7+HUqGgppkZtSwssCxqj6mZGVs//1ySu0chbclENREYCM16h1KjRQhNzKR7jbg/g7YUs7Oz49atW3h6eha4fvr0aerUqVPa4YSoUBQKBb3btqV327aEx8Rw5vp10jIzSc7IYNkvvzArX5Hi/K7n5DAlK4v0+7UiEw82ZEjB07MyeyeqsCuXoXYtsKsbLbN2Qm9Kvcdu4MCBTJo0iejoaBQKBRqNBn9/fyZMmMDQoUMNEaMQ5cLDyYnn27fn1W7d6ObtjbFS+cCOFEIPcgsbR93U7buTzhWiCvLx0e25u+XfhCNnkgjJCinvkEQVUeoZu5kzZzJmzBjc3NxQq9U0bdoUtVrNoEGDmDx5siFiFEJUNz4+d0/NHmhzt/Zdo0ayRCuqlFaOXgSFAN6S2An9KHViZ2pqysqVK5kyZQrBwcGkpqbSunVrGjZsaIj4hBDVWaHadzdliVZUSVG3ZElW6MdDVxl2d3fHzc0NQCrvCyEMJ3/tO2lPJqqg7FAvYl2iORKfhLd3khymEI/koZpcrlq1Cm9vb8zNzTE3N8fb25vvv/9e37EVMGPGDHx9fbG0tMTOzs6gzxKVm1arJToxkZAbN4iMjUWlVt/3frVazc34eEJu3CAqPh6NRnPf+7O1WiJycriUnU2MSqXP0MWD+PgUrH0n++9EFeDjA94qX7JCJKETj67UM3ZTp05l3rx5jB07Nq837NGjRxk/fjwRERF88cUXeg8SIDs7m5dffpmOHTuyatUqgzxDVG4p6emsP3iQpbt2cS48PO+6k60tb/bqxahevQqUIolJSmLV33+zfPduImJj8643qF2bd/r0YXjPntS0scm7nqVWMzk+nn8yMriTL/nzNjXlSQsLNHKAouz8t0S748B+WZoVVYosyYpHVeo6drVq1WLRokW8+uqrBa5v2LCBsWPHEhcXp9cA77V69WrGjRtHUlJSqX9W6thVXYGXL/P89OnEJifzvI8Pg7p2xdnOjrSsLHadOMGaffvIyM7m27fe4q3evfk1IIDX5s1DC7zapQv9OnbE1tKShNRUNvv7s9nfH3MTEzZPmsTTrVvz2bp1zNq8GSOFAkdzc2xMTVECORoN8VlZJGdnY2JkxB9Tp/J069bl/XFUH4GBcPmy1L4TVUJgIFj6BlCrfhKutZElWZHHoHXscnJyePzxxwtdb9u2LSpZlhLl4OTVqzwxeTIt69Vj6yefFJhlAxjz7LMM79mTeb//zttLl3Li6lVW/f03vk2a0L9jR6zMzYlKSCAqIQEAb3d3XGvW5M+TJ3nuiy/w8/Fh27FjPO/jw5OtWmFjYYGTrW2BZ9yMj+ebbdsY+M03BHz9NU3q1iUiNva+de2kU4Ue+PjoTtDm1r7LvSZEJeTjA6h8CfIPxfUlOSUrHk6pZ+zGjh2LiYkJ8+bNK3B9woQJZGRksGTJEr0GeK/SzNhlZWWRle8/rMnJybi5ucmMXRWiUqtp+NZbONnZsWbcOIbMnAnFJFNarZaI9HTi0tNp7eXFldBQrIq6D1AAaYBKqSRTo8HRzAyNSoW5VgsKBbXs7DBWFtyiqjIxIQMwMzFhx5QpvDhtWrGxANKpQt+kLZmoIqTdmLiXQWfsQHd44q+//qJDhw4AHD9+nIiICIYOHcoHH3yQd9+9yd+9Pv74Y2bPnn3fey5evEiTJg83HT1r1iw+//zzh/pZUTn88e+/hMXE8Osnn+guZGXxpbFxsd0hRv73z5bm5lgBi4D8hXqygRggA5gGWBsZ8a9Gw8tmZvirVExRKDAH6pqaYp7vGddzcpiSk8MngwYxYuFCDgYHPzAW6VShZz4+BU/N5pIlWlHJ5J6SvUAS1EWSO1EqpU7sgoODadOmDQDXrl0DwNHREUdHR4KDg/PuK0kJlA8//JDhw4ff9x4vL6/Shpjnk08+KZBo5s7Yiapj2Z9/0qFxY9rUr0/IjRsAed0h7qXWaonPzKRxnTqcvHIFG3RJXet8/1vNAK5rteSmW0E5OXibmvJPRgY1FAoaKBSYarV4mphgce8zVCraN2pE4zp12Hj48H1jyb1f6Fnu0mzu99KeTFRCRS3JSnInSqrUid3+/fv19vBatWpRy4DLUGZmZpiZmRlsfFH+joaEMHnAgBLdG6tWk63R0K9jR77asoUHLcZnADnAcBsbJsTH08rICB7wC4tCoaBfhw6s2b8fVyOjEsUlDCjv9Ox/7ckkuROVjJ2RXXmHICqZhy5QXNYiIiJISEggIiICtVpNUFAQAA0aNMDa2rp8gxPlQqvVkpqZia1VUTvlCkv/bzup43/7Ex60uTS3oImLsXGB7x/E1sqK9MxMKGFcwsDytyeTwsaiEskO9eLgwWhq1U+SJVlRYg9VoLg8TJ06ldatW/O///0vr41Z69atOXHiRHmHJsqJQqHAxsKChJSUEt1v9d9s2+3ERN3PP+D+3P9z3MjJAaCk82+JqalYmZuX8G5RZoYMwa97qq6w8bp15R2NEA/k4wPpAb7c8m/ChRtJRKuiyzskUQlUmsRu9erVaLXaQl/du3cv79BEOerarBmb/f0pyeHuWkZGmCmVbD16FEszswdOV1sAZsCPKSk8ZmKCsgT7RjUaDVsCAmjboEGJ4hdlzMdHl9xF/bc0K50rRAXn46ObuTPJsCvvUEQlUWmWYsX/27vz+Kjra//jr8mekE1IICxhiSyB4iWCDhIXoOIltU1FWrStqeJFcAGXKnVrKSi1KIKK1IpefyUIWtCqKGr1uhCQRYNgUJAEQ8BgFghINkImycz398dkhkkIIYEkM5l5Px+PecR85zvfnMmAHj/ne85HmnLH1Vdz9SOP8EVODtH1Jfn99Stsro5YrfxvWRkGsK+4mKguXThusbAFwCUpdO2KBUgKDOSL2lpmRUay8fhxcg2DEKCmthbXNTnHz9y8Zw95xcU89vvfs2j//iZjOV2M0kFcS7MZI53HRDxZYSHUhpaqJCtnpMROOrWJF17I4N69mfHcc7w6ezYEBzPHYnF2nFptNvIrKzlmsWCAc/acYbNxHJiFfVUugpOlVtc5drX1+8z+y2LBZhjcDfY5djU1BDTqaq0NCOCx11/n4kGDGDNkyCmxnCI4mDA197iPtiWTTsJshswtyZSwRSNQ5IxaPaC4M9OWYt5pd34+lz3wAP26d2fRzTfTJyYGgNLjx7l5yRIKjh5l6pVXkltUxH+2b+e+SZNYsm4dw/v2ZUCPHnzy9dcEBQRw7zXX0DUigh8rKjhUWsp7X35JfkkJ119+OSvXr7dvVTZ2LLFRUfTq2vWUGO5fvpzjFgtbFy5kQFycdp7oLByDjV2pwUI8UGYmDPz1FgYNUmLna1ozoFiJnXiFbw4cIPWvf+X7w4e5oF8/xl9wAe9kZnLo2DGG9+/PjvqZiz8bOZJfmM18m5/Pix9+iKWujvPj4ij68UeiunThjquv5qOsLDbu3k3X8HDe/tOfuHTYMF784ANmvfAC/n5+/Pzii0lOTCQkKIiSsjLWfv45Wfv3c35cHB/Mm8fAXr3c/NuQc7JqlfaeFY/kupesdqXwLUrsTkOJnXfbuGsXV//5z9TabNS4HPcDAoFI7CVWRwuEDagGqgCry/lhAQHEhoRwXmQkb8+fT9/YWPJLSkj98585UlZGSXU1tbaTw08iAgOJDQ0lOiKCtx59VKtw3kDbk4mHUnLnm9p9SzERT1RZXU0UsMTfn2VWKznAq/7+HLTZ+KthMA97p2t3IIiTc+y+A+4Egvz96e7vz6txcc4twhyl1CqLhcC6Ol6KiqJ/t24cNwxOGAaRfn4Em0z282tqtEWYt2i8PZlW78RDOO63C+y1xd2hiIdSYideZ4DJxEbgr/7+XB4QwDarlYC6OgZhb5QYUL/fq2EYzhU8P+CqsDDSKyro6ucHgYFNNj1oizAf4tiezLEtmeOYiAcoLITYhFJA99tJQ51mjp1ISx3HvhVYQgvmzrmKrd8CrMRqPcOZ4lM02Fg8jGNw8c5N0RpcLKdQYidexzG2pLXrZ9b6200DW5kQig8wm0m9fxiprIOFT2iwsbid664Um3aWkm3JdndI4iGU2InXCQNiga2t7AvKq6sj2GSiV4DuUJDTSEsjtdcOrd6JRzCbISkmAUt2Irt2oeROAN1jJ17IZDIxzd+f561W/uZ/cofXN4A1gMUw6ALcAPwJyMe+08RHVVWYg4M5Wl+KPWax8JdXXiHA3x8/k4mq2loIDe3w9yMepn6wMXvXwap19tEovXrD4MG6B0/cIikmgaxsYLgSO1FiJ14o12bjcpOJhcDsujq+sNn4Bvim0Xlz6h9OhsFn1dX0//57/LCPQ8nbvLnBay4vL2dWVBTXR0Q0OK4twnxMfWMFQCpoezLxCLt2AcOzSQxOdHco4kYqxYrXOC88nGo/P+42DKbbbAQBy2w2vqp/3g/7LLuu2LtjGwvi5P11jil1MyZOpO6tt8j429+IDg3lqM3GvGPHuKS4mLQTJ5yPOXV12iLMl6nBQtxMJVlx0IqdeITWbr+1NTubY5WVp5w33mzmSHk5QQEBbNy1q8EIksCAAAgMxPD3x1JZSYCfHzbDwFZ/L14NgGEQERJCeEgINVYrL374IV8fOMCogQO5MimJqpoaMvfu5WhFBVE9e3LfpEnO658XHt4gRm0p5mPqZ9+tyyiwJ3cqzUoHU0lWQImdeID8khImz50LzQ33DQ7mzUceoW9sLFuzs/nFww8T4rL7A0ClzYYN6IJ9NwnH1UKwJ22WujosLolenc1GABAOlNcf8wNCq6uxVVdTg32g8ec5OeTm5Di7bU8A/iYTn379NYcPHiTY0WzhEmNr35N4CbOZVDMqzYpbFRZBdJ9izbfzUUrsxO2qLBawWJgfEMCAwMBTnt9fW8sci8W5+nWsspIQm40lJhMD/U7eTbDMMFhrGDwL/E/9sZeBTcDbwGzgVSAHuA74DHgS6AlcDRzDnti9gD0RnA88ANwGXAPcAeQCdwFjg4P5T3U1PaureTY29pQYW/uexMvUN1isy1gPe/dqWzLpMEkxCWRthh8Tsxk+vFT32/kgJXbiMVq7q8NAPz+SXBK7niYTGAYDsA8pDgJ+j33LMIDLgEeAe4HfYW+mSMS+sncM+1+GOuz31w2qf30ScDPwGvaEzzHhLiEoiPi6OjZWV5+MWTtViCuVZsVNVJL1bWqeEK+TV/91cKPjR4BK4PJGx7+o/zqs/uuGRs9fARzmZLnW4ZLgYCyGga1RSVjEyXWwccZ6+2Bjx0OknRUWoV0pfJBW7MTrlNZ/bdyfWnua4yfqv4bVf23ckuE4v6bR8dD6Dlqtu8kZOWffLQawz75TiVbakUqyvkuJnXgdx8rbD42OR9V//R7o7nI8vv5rbv3XoY1e9z32pe1ooNDl+P66OkxAkJ8WvqUFmpp9t7AAxo1XiVbahUqyvkn/RRKvE479D/YhGq6mnQdcCrzEyTl1ABOx7y97pP77q1yeM4B/Aj/Hfs+dQ53NxpbqagY10Rgh0iLankw6SEletEqyPkQrduIxTrd7w+mO5za6t62ofh7dd8AlwBbgp9gbISqw3yvnKLMOx94IcT32JM/qcp3fY0/uLMBaIAuYBnzFyVW9DdXVWIFpkZFk19S0OnbtVCGAS/dsfYOFSrPSxmryEiiMK+ZQValKsj5CiZ24XVhwMAQHM8diOX2nqMuuDs4dJmw2sJ5MySoNAxv2cSSOq3xW/wB7IheE/V47o/7ReJsxgD31x03AXOx/SeZzsiO2FDhUV4e/ycRrfn68duLEKTG29j2JD3OdfafSrLQxsxmoSyYrO4/Cbtmab+cDTIZRv8zhA8rLy4mKiqJs9Woiw8LO/ALpMG2188R/tm/nx8pKQgID+TY/n8/37gXsA4W7R0cTHhJCgL8/e35ofAceRISEUFFdDUBQQAA19QlZ6sUX07d7dw4dO8a2777j+5ISggMDWTdnDvExMaeNUTtPSKutWmVvrOjVW6t30qYyM2Hgr7cwaBBK7DqhivIKkmKTKCsrIzIystlzldiJRzvb5Kiyqoro3/0Ofz8/auvqcPwh9zOZnFuIuTKZTBiGwdD4ePYcPOg8HhwYiM1mo1e3bnx/+DAA8TExbHriCSVl0j4yM1mXEa7kTtpUZiaEJW8h9vxSevVEJdlOpjWJnUqx4rHOZVuuh1etwmqz8cZDD9E9Koqf3n8/1XBKUheMvdGixjCwAtkHD9Kl/tjx+vNrrVaKjx0jOTGRRf/zP4xJ1L8QpR01VZp1eU7kbDhLspvz4FKVZL2ZEjvxWOeyLdeKTz8luksXrhk9mve//JKufn48AzxgszHQZOI2Pz/mWq08in1LsWLgduydsRn+/hwA7jYM/vfhh3n67beprK5m88KF7fhuRRpJSyN11SrYuwPQ7DtpGzV5CQSOVIesN1NiJx6vtdtyVVVXU15Vxe/Gjm1wPNrPj/02G4v8/Uk0mQiyWkkE+gGhQJqfH4tsNmr9/BgIzsaM315xBdOWLuWExUKomh2kI7kkcQ26Z7U9mZyDwkKoDS2FPrrfzhtpjp14nYKjRwHo3bVrg+OOVotYk4mmOAYVFzYq18ZG2Ucbl1VVtVmMIq3W1PZkIq1kNsPwumSKNify7Q+lmm/nhZTYiddxJGKNu2ZD679WnKZf6EfH6xslfhX140zCQ0LaLEaRs5aWRuq4Sg02lnNSk5dA4Ilod4ch7UCJnXid6PBwggMC+M+OHQ2Ox2C/n+7dRoONHf5ts2ECLmp0fF1mJoN796aLEjvxFGazPbkrLICFT2j1Ts5KYSFatfNCSuzEK6WazRQcPcqO3FznsQCTien+/qy02ahstGp3BNgNjDGZCHPZ+/XHykre2LqV21NSMJ2mhCviFo7SrGNbMiV30gpmM1RtUUnWGymxE4+3v7aW7JqaUx7Nbcv19C23APCL+fOdg4ZzbTYuNZmoBv5ktWIBsrFvGXZz/eum+/mRZbORa7NhGAYvfPABQQEB3HTlle34DkXOgUqzcpbMZpVkvZG6YsVjncu2XH1iYvjzddfx19de49bnnqMG+/gSDINwk4mPDYNAYAZwDPtesaHAnwwDrFZshsGPQPGePbzx4IOcFx7eXm9T5NyZzaRS3zW78AnNvpNWUZesd9HOE+LRznVbrgfS01n45psA9I2NZeKFFxIbGcnWnBzWf3Nyp9jBvXpxd2oqFSdOsGnPHj7ZuROrzcaqe+9lymWXtd0bEmlvLqt22p5MWsKxK4V/dCnDh2tXCk+kLcVOQ4mdb/oyN5f7/t//Y9O3356y80RcdDRVNTWUu4wy6REdzYyJE5kxcSJ9XPaCFel0tD2ZtELWkTyCE7OV3HkgJXanocTOt1VVV/Pxzp0cLi2lW2Qk4y+4gOjwcKprasgtKqLyxAkiw8IY2LMnQU3sdCHSaa1aZV+9GzdepVlplmP1bsRlpUruPIj2ihVpQlhICL8cPfqU4yFBQQzv188NEYl0kPrtydZloG3JpFlmM2QVxwGl7g5FzpK6YkVEfIGje7awQN2zcka7dkG2JdvdYchZUGInIuIrXLcl02BjOY2kmAQs2Yns3BSt5K4TUmInIuJr0tJODjbW6p00ISkmgbpijT7pjJTYiYj4osal2czMkw+ReirJdj5qnhAR8VVmM6lm7IndXvuhdYUjnc+Jb0uKSSArG3aRDcOz1SXbSSixExHxdS5dsqmZmazLWK/uWQFOJncM16pdZ6FSrIiInGQ2nyzRqsFC6qkk23kosRMRkYYc3bOOBgsldz7N0SWr5K5zUGInIiJNczRYqHvW5yXFJFDx/tWU5EVTXFfs7nCkGUrsRETk9FSalUZKraXuDkGaocRORESap9KsYG+Uzt8Rp5Ksh1NXrIiItExaWsOuWZfj4huSYhLIfD+BkrAtRA8qJi5AQ4w9jRI7ERFpObOZVDKBHPv3e/eybmEBjBuv2XciHkCJnYiItI5rAmc2k7pqFesy0Ow7H2E2Q9aOOA5VZTN8eKkGF3sY3WMnIiLnpvH2ZOL1HCNQCotQl6yHUWInIiLnztFgwTp1z/qImrwEAk9EuzsMaUSJnYiItJ20tJPds1q983r5O+LYtLNUXbIeRImdiIi0LZVmfYLZrJKsJ1JiJyIibU+lWZ+hkqxnUVesiIi0n7S0hl2zLsfFexQWwqGqUnXJegCTYRiGu4PoKOXl5URFRVG2ejWRYWHuDkdExHe4rNitywi3/4Nm33mVrCN5BCdmM3w4Su7aWEV5BUmxSZSVlREZGdnsuVqxExGR9ueSwKWaAccqXqPnpPNy7Eqxs3QLhednM6xPtHamcAPdYyciIh3P0WCh7lmvYjZD1ZZkSvZFU2otdXc4PkmJnYiIuIfZfLJ7Vg0WXsNshrpirdS5i0qxIiLiPmazSrNeauemaJVk3UArdiIi4n4qzXqVpJgElWTdRImdiIh4hvrSrGbfeQeVZN1DpVgREfEcZrM9wdPsO6+xaxcUdlNJtqNoxU5ERDxPfWk2dXAOqYNztD1ZJ5UUk0DF+1erJNuBtGInIiKeqanZdwsLNNi4kzGbIas4Dih1dyg+QSt2IiLSOaSlkdprhxosOqlduyDbku3uMLxep0jsDhw4wLRp0xgwYAChoaGcf/75zJ07l5qaGneHJiIiHcnRPavSbKfiKMnu3BTNpweyKa4rdndIXqtTlGKzs7Ox2Wy88MILDBw4kF27djF9+nSOHz/OokWL3B2eiIh0JNfZdyrNdhpmM2RuSSaw1xZ3h+LVOkVil5KSQkpKivP7hIQEcnJyeP7555XYiYj4qrS0ht2z6prtFAoLITahVB2y7aRTlGKbUlZWRteuXZs9x2KxUF5e3uAhIiJeRKXZTsWxl6xKsu2nU6zYNZabm8vSpUvPuFq3YMECHnnkkQ6KSkRE3KJxabZXb/vxwYNVovVAKsm2L7eu2D344IOYTKZmH9nZDTtoCgoKSElJYcqUKUyfPr3Z6z/00EOUlZU5HwcPHmzPtyMiIu7UePadumc9WmEhmm3XDkyGYRju+uElJSUcPXq02XMSEhIICgoCoLCwkHHjxnHJJZeQnp6On1/r8tLy8nKioqIoW72ayLCws45bREQ6gcxM2LuXdYUj1WDhgbKO5BGcmE3XbmhXijOoKK8gKTaJsrIyIiMjmz3XraXY2NhYYmNjW3RuQUEB48ePZ9SoUSxfvrzVSZ2IiPiYxtuTOY6JR0iKSSDz/QR6/Fol2bbUKbKjgoICxo0bR9++fVm0aBElJSUUFxdTXKybLkVE5AwcDRYqzXoklWTbVqdonvjoo4/Izc0lNzeXPn36NHjOjZVkERHpLMxmUsmEves0+86DOLYb27WrFIZnE+2vkuy56hQrdlOnTsUwjCYfIiIiLWI2N9yWLDPT3REJJ3elKMmLdncoXqFTJHYiIiJtRqVZj6WS7LnrFKVYERGRNtW4NKvZd25lNkPWjjgOVZXC8GwSgxPdHVKnpcRORER8k6NrFk6ORskYqe3J3MTRJVsStgUSlNydLZViRUREHPffaXsytwuuVPPEuVBiJyIi4mA2k3r/MFJZBwufUINFBzOb4bu9sGsXZFuyz/wCOYUSOxERkcbUYOE2STEJWLIT2bkpmk8PZFNcp5m1raHETkREpClmc8PSrFbvOkxSTAJVW5Ip2RfNtz+UKrlrBSV2IiIip+NamtXsuw5lNsPwumSKNidqDEorKLETERE5E5Vm3aqwCK3atZDGnYiIiLRE/ey7dRkF9sYKB21P1q5q8hIoiSvmW0qhD9py7AyU2ImIiLSU2Uyqaw63ahXrMk4+J23PbAbqksnanEevX2crsTsDlWJFRETOlkq04mGU2ImIiJyL+u5Zzb5rXzV5CRqB0gJK7ERERM6VY+eKXjvUPdtOzGacI1BKrRqBcjpK7ERERNqKSrPtymyGuuI4ov2j3R2Kx1JiJyIi0pa0LVm7qslLYMMGNLj4NJTYiYiItAfX0qxW79qMa0lWyd2pNO5ERESkvaSlkZrZaPZdr94weLDGo5wDsxkytyQT2GuLu0PxOErsRERE2lOTs+9GOp+Ts1dYCLWhpRpc7EKlWBERkY6kBos2oZJs05TYiYiIdLT62XcUFtiTOzVYnBVHchd4ItrdoXgMJXYiIiLu4No9q9l356SwEM22q6fETkRExJ1Umj0njlW7nZtUkgUldiIiIu6n0uw5UUn2JHXFioiIeAJH96xr16zLc3JmhYUQm1Dq0x2ySuxEREQ8Sf3sO/YuBmBd4UjYuxfS0twcmGdzzLbbyRYKz89mWJ9on0zwlNiJiIh4GrPZuUqXCvZVvIUFMG68Vu+a4Tq4uNTqmyt3PpXYGYYBQHlVlZsjERERaYXJkxm7Zg3/+bgaLJUw6iJ3R+SxLBawHupCVUwhFcEV7g6nTVRWVAIn85jmmIyWnOUlfvjhB+Lj490dhoiIiEirHTx4kD59+jR7jk8ldjabjcLCQiIiIjCZTO4Op12Vl5cTHx/PwYMHiYyMdHc4chr6nDoHfU6dgz6nzkGfU+sZhkFFRQW9evXCz6/5gSY+VYr18/M7Y6brbSIjI/UXpxPQ59Q56HPqHPQ5dQ76nFonKiqqRedpjp2IiIiIl1BiJyIiIuIllNh5qeDgYObOnUtwcLC7Q5Fm6HPqHPQ5dQ76nDoHfU7ty6eaJ0RERES8mVbsRERERLyEEjsRERERL6HETkRERMRLKLHzcgcOHGDatGkMGDCA0NBQzj//fObOnUtNTY27Q5NGHnvsMZKTkwkLCyM6Otrd4Ui95557jv79+xMSEsLo0aPJzMx0d0jSyMaNG0lNTaVXr16YTCbWrl3r7pCkCQsWLODiiy8mIiKC7t27M2nSJHJyctwdltdRYuflsrOzsdlsvPDCC+zevZunn36aZcuW8fDDD7s7NGmkpqaGKVOmcPvtt7s7FKm3Zs0a7r33XubOncuOHTsYMWIEEydO5PDhw+4OTVwcP36cESNG8Nxzz7k7FGnGhg0bmDlzJp9//jkfffQRtbW1/Pd//zfHjx93d2heRV2xPujJJ5/k+eefJy8vz92hSBPS09O55557KC0tdXcoPm/06NFcfPHF/P3vfwfs2xLGx8dz55138uCDD7o5OmmKyWTirbfeYtKkSe4ORc6gpKSE7t27s2HDBq644gp3h+M1tGLng8rKyujatau7wxDxaDU1NWzfvp0JEyY4j/n5+TFhwgS2bt3qxshEvENZWRmA/nvUxpTY+Zjc3FyWLl3Krbfe6u5QRDzakSNHsFqt9OjRo8HxHj16UFxc7KaoRLyDzWbjnnvu4dJLL2X48OHuDserKLHrpB588EFMJlOzj+zs7AavKSgoICUlhSlTpjB9+nQ3Re5bzuZzEhHxdjNnzmTXrl2sXr3a3aF4nQB3ByBn57777mPq1KnNnpOQkOD858LCQsaPH09ycjIvvvhiO0cnDq39nMRzxMTE4O/vz6FDhxocP3ToEHFxcW6KSqTzmzVrFu+++y4bN26kT58+7g7H6yix66RiY2OJjY1t0bkFBQWMHz+eUaNGsXz5cvz8tFDbUVrzOYlnCQoKYtSoUXzyySfOG/FtNhuffPIJs2bNcm9wIp2QYRjceeedvPXWW2RkZDBgwAB3h+SVlNh5uYKCAsaNG0e/fv1YtGgRJSUlzue06uBZ8vPz+fHHH8nPz8dqtZKVlQXAwIEDCQ8Pd29wPuree+/lpptu4qKLLsJsNvPMM89w/Phxbr75ZneHJi4qKyvJzc11fr9//36ysrLo2rUrffv2dWNk4mrmzJm8+uqrvP3220RERDjvVY2KiiI0NNTN0XkPjTvxcunp6af9j5A+es8ydepUVqxYccrx9evXM27cuI4PSAD4+9//zpNPPklxcTFJSUk8++yzjB492t1hiYuMjAzGjx9/yvGbbrqJ9PT0jg9ImmQymZo8vnz58jPesiItp8RORERExEvoZisRERERL6HETkRERMRLKLETERER8RJK7ERERES8hBI7ERERES+hxE5ERETESyixExEREfESSuxEREREvIQSOxFpUxkZGZhMJkpLS097jslkYu3atR0WU3PmzZtHUlJSq16Tnp6OyWTCZDJxzz33tEtc56p///4888wzHXLt9v48G/+ZcnxvMpmc+/iKiJ0SOxFpUnp6OtHR0e4Oo021ZQISGRlJUVER8+fPb9H548aN89gk8FwVFRXxs5/9rMN+XnJyMkVFRVx33XUd9jNFOosAdwcgItIZmUwm4uLi3B1Gu7FarZhMJvz8zvz//x39ewgKCiIuLo7Q0FAsFkuH/mwRT6cVOxEvNG7cOGbNmsWsWbOIiooiJiaGOXPm4Lo1tMViYfbs2fTu3ZsuXbowevRoMjIyAHup6+abb6asrMxZ8po3bx4AK1eu5KKLLiIiIoK4uDh+97vfcfjw4XOK9+DBg1x33XVER0fTtWtXrrnmGg4cOOB8furUqUyaNIlFixbRs2dPunXrxsyZM6mtrXWeU1RUxM9//nNCQ0MZMGAAr776aoOSYf/+/QG49tprMZlMzu8dVq5cSf/+/YmKiuI3v/kNFRUVrX4f//jHPxg0aBAhISH06NGDX//61874N2zYwJIlS5y/zwMHDmC1Wpk2bRoDBgwgNDSUIUOGsGTJkgbXbMl7P3z4MKmpqc73/sorr5wS21NPPcUFF1xAly5diI+P54477qCystL5vGOF9p133mHYsGEEBweTn5/fomu7roTOmzfP+R5dH+np6QDYbDYWLFjgfM8jRozg3//+d4Prvf/++wwePJjQ0FDGjx/f4M+CiDRPiZ2Il1qxYgUBAQFkZmayZMkSnnrqKV566SXn87NmzWLr1q2sXr2ar7/+milTppCSksJ3331HcnIyzzzzjLPcWFRUxOzZswGora1l/vz57Ny5k7Vr13LgwAGmTp161nHW1tYyceJEIiIi+Oyzz9i8eTPh4eGkpKRQU1PjPG/9+vXs27eP9evXs2LFCtLT053JAsCNN95IYWEhGRkZvPHGG7z44osNEs5t27YBsHz5coqKipzfA+zbt4+1a9fy7rvv8u6777JhwwYef/zxVr2PL7/8krvuuotHH32UnJwcPvjgA6644goAlixZwpgxY5g+fbrz9xkfH4/NZqNPnz68/vrrfPvtt/zlL3/h4Ycf5rXXXmtw7TO996lTp3Lw4EHWr1/Pv//9b/7xj3+ckmz7+fnx7LPPsnv3blasWMGnn37K/fff3+CcqqoqnnjiCV566SV2795N9+7dW3RtV7Nnz3a+x6KiIhYtWkRYWBgXXXQRAAsWLODll19m2bJl7N69mz/84Q+kpaWxYcMGwJ7kT548mdTUVLKysrjlllt48MEHW/VZiPg0Q0S8ztixY42hQ4caNpvNeeyBBx4whg4dahiGYXz//feGv7+/UVBQ0OB1V155pfHQQw8ZhmEYy5cvN6Kios74s7Zt22YARkVFhWEYhrF+/XoDMI4dO3ba1wDGW2+9ZRiGYaxcudIYMmRIg1gtFosRGhpqfPjhh4ZhGMZNN91k9OvXz6irq3OeM2XKFOP66683DMMw9uzZYwDGtm3bnM9/9913BmA8/fTTTf5ch7lz5xphYWFGeXm589gf//hHY/To0aeNv6nfzRtvvGFERkY2uI6rsWPHGnffffdpr+kwc+ZM41e/+pXz+zO995ycHAMwMjMznc87fh+u772x119/3ejWrVuD9wQYWVlZzmMtvXZTv1fDMIytW7caISEhxpo1awzDMIzq6mojLCzM2LJlS4Pzpk2bZvz2t781DMMwHnroIWPYsGENnn/ggQea/DN10003Gddcc81p36OIL9I9diJe6pJLLsFkMjm/HzNmDIsXL8ZqtfLNN99gtVoZPHhwg9dYLBa6devW7HW3b9/OvHnz2LlzJ8eOHcNmswGQn5/PsGHDWh3nzp07yc3NJSIiosHx6upq9u3b5/z+Jz/5Cf7+/s7ve/bsyTfffANATk4OAQEBjBw50vn8wIEDOe+881oUQ//+/Rv8/J49e7a6vHzVVVfRr18/EhISSElJISUlhWuvvZawsLBmX/fcc8/xz3/+k/z8fE6cOEFNTc0pXbrNvfc9e/YQEBDAqFGjnM8nJiae0vjy8ccfs2DBArKzsykvL6euro7q6mqqqqqcMQYFBfFf//Vfzte09NpNyc/PZ9KkScyePdvZ5JCbm0tVVRVXXXVVg3Nramq48MILnT9z9OjRDZ4fM2bMGX+eiNgpsRPxQZWVlfj7+7N9+/YGCQNAeHj4aV93/PhxJk6cyMSJE3nllVeIjY0lPz+fiRMnNiibtjaWUaNGNXnvVmxsrPOfAwMDGzxnMpmcSeW5aotrR0REsGPHDjIyMvi///s//vKXvzBv3jy2bdt22kRo9erVzJ49m8WLFzNmzBgiIiJ48skn+eKLL9o0vgMHDvCLX/yC22+/nccee4yuXbuyadMmpk2bRk1NjTOxCw0NbfA/A2fr+PHj/PKXv2TMmDE8+uijzuOOe/ree+89evfu3eA1wcHB5/xzRUSJnYjXapwcfP755wwaNAh/f38uvPBCrFYrhw8f5vLLL2/y9UFBQVit1gbHsrOzOXr0KI8//jjx8fGA/d6yczFy5EjWrFlD9+7diYyMPKtrDBkyhLq6Or766ivn6lJubi7Hjh1rcF5gYOAp76ktBQQEMGHCBCZMmMDcuXOJjo7m008/ZfLkyU3+Pjdv3kxycjJ33HGH85jrKmVLJCYmUldXx/bt27n44osB+wqm6xzB7du3Y7PZWLx4sbPLtfF9fGd77cYMwyAtLQ2bzcbKlSsbJIquTRljx45t8vVDhw7lnXfeaXDs888/P2OsImKn5gkRL5Wfn8+9995LTk4O//rXv1i6dCl33303AIMHD+aGG27gxhtv5M0332T//v1kZmayYMEC3nvvPcBenqysrOSTTz7hyJEjVFVV0bdvX4KCgli6dCl5eXm88847LZ7jdjo33HADMTExXHPNNXz22Wfs37+fjIwM7rrrLn744YcWXSMxMZEJEyYwY8YMMjMz+eqrr5gxY8YpK1D9+/fnk08+obi4+JSk71y9++67PPvss2RlZfH999/z8ssvY7PZGDJkiPNnf/HFFxw4cIAjR45gs9kYNGgQX375JR9++CF79+5lzpw5DZo6WmLIkCGkpKRw66238sUXX7B9+3ZuueUWQkNDnecMHDiQ2tpa5+e2cuVKli1b1ibXbmzevHl8/PHHvPDCC1RWVlJcXExxcTEnTpwgIiKC2bNn84c//IEVK1awb98+duzYwdKlS1mxYgUAt912G9999x1//OMfycnJ4dVXX23QKCIizVNiJ+KlbrzxRk6cOIHZbGbmzJncfffdzJgxw/n88uXLufHGG7nvvvsYMmQIkyZNYtu2bfTt2xewD4G97bbbuP7664mNjWXhwoXExsaSnp7O66+/zrBhw3j88cdZtGjROcUZFhbGxo0b6du3L5MnT2bo0KFMmzaN6urqVq3gvfzyy/To0YMrrriCa6+9lunTpxMREUFISIjznMWLF/PRRx8RHx/vvKerrURHR/Pmm2/y05/+lKFDh7Js2TL+9a9/8ZOf/ASwd4v6+/szbNgwZwn71ltvZfLkyVx//fWMHj2ao0ePNli9a6nly5fTq1cvxo4dy+TJk5kxYwbdu3d3Pj9ixAieeuopnnjiCYYPH84rr7zCggUL2uTajW3YsIHKykqSk5Pp2bOn87FmzRoA5s+fz5w5c1iwYAFDhw4lJSWF9957jwEDBgDQt29f3njjDdauXcuIESNYtmwZf/vb31r9OxHxVSbDcBlsJSJeYdy4cSQlJbXbllKdwQ8//EB8fDwff/wxV155ZZteOz09nXvuuafZkqS0v6lTp1JaWuox29OJeAKt2ImIV/j0009555132L9/P1u2bOE3v/kN/fv3d86Sa2tlZWWEh4fzwAMPtMv15fQ+++wzwsPDm2y4EfF1ap4QEa9QW1vLww8/TF5eHhERESQnJ/PKK6+c0lHaFn71q19x2WWXAXjdfrqdwUUXXURWVhbQfBe3iC9SKVZERETES6gUKyIiIuIllNiJiIiIeAkldiIiIiJeQomdiIiIiJdQYiciIiLiJZTYiYiIiHgJJXYiIiIiXkKJnYiIiIiXUGInIiIi4iX+P0BCSTZ2+vuMAAAAAElFTkSuQmCC\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": "3a63bf34-9ff7-4191-b565-31fe79a09a42" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([[9.37368464e-13, 3.91458193e-04, 9.99608542e-01],\n", " [9.93631074e-01, 6.36892585e-03, 1.20730798e-15],\n", " [9.98707332e-01, 1.29266792e-03, 1.82177043e-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": "5f4e2e95-35a1-4241-f50b-b2f3dab2354b" }, "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": "5d748456-c299-4b33-f16a-116ef5c863e0" }, "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": "d4e52fe8-4fa4-4fa5-e899-79b1b2cc9e47" }, "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": "5b6760d3-d637-4d5b-842a-1bdfc9515b11" }, "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": "829a9507-098e-4c4c-f8e2-204b77886607" }, "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": 855 }, "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": "5b2ecd4f-1f9f-4f2b-b4ba-de0fa338d4c2", "scrolled": true }, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n", "/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n" ] }, { "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": "f1fd5116-d7b6-47a0-c6ca-8926e1133964" }, "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": "c1f3c8a2-06eb-435c-9266-f2cefe217a39" }, "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": "f164f0f0-2eb5-4679-d752-be17d070ed26" }, "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": "7dea72d2-777f-406a-ffdf-31fe73caf7e0" }, "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", "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": "450956c4-f0c0-45e3-b99e-cc68d508d29c" }, "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": "ddbfc97e-d597-43da-afc8-788b563700c4" }, "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": "99310d71-6068-47af-bfdf-9e2ea2eb4534" }, "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": "7f11db6c-dc42-4bd1-bbb7-b606969b421e" }, "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": "d4ddf242-b861-4fb4-84aa-2c67e08e78c4" }, "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": "a74429ce-a8d7-490c-e72e-e07d15b5008d", "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": "a19b0f97-3462-400a-98da-5c74f461f3c2" }, "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": "6bf712ba-9363-4d3e-efdc-e1cf3d24aaed", "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": "c3ac621d-2fa2-42e0-cef1-f862b8877ef3" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\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": "d17d5527-eadd-46a3-db3a-5c2da4dd7df1" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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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": "9af47538-359e-4d69-eadb-c70114ad1a7b" }, "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": "455cef6f-6e2a-4b1e-d545-d7f0ae69a51c" }, "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": "825b771c-c976-43e0-e225-63e8b8620d2f" }, "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": 386 }, "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": "a193e179-32d4-4bb8-ebf9-c0f04ed0c2e0" }, "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": "f28b6d21-ebee-453e-e5ea-366b175f96e4" }, "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 }