From 3e0ef8261c1a875a300a4ffc77401a56a36d8610 Mon Sep 17 00:00:00 2001 From: Haesun Park Date: Sun, 10 Oct 2021 01:18:41 +0900 Subject: [PATCH] =?UTF-8?q?=EC=B1=85=EC=9D=98=20=EC=86=8C=EC=A0=9C?= =?UTF-8?q?=EB=AA=A9=EC=97=90=20=EB=A7=9E=EC=B6=94=EA=B8=B0?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 01_the_machine_learning_landscape.ipynb | 6 +- 05_support_vector_machines.ipynb | 144 +- 06_decision_trees.ipynb | 96 +- 07_ensemble_learning_and_random_forests.ipynb | 406 +- 08_dimensionality_reduction.ipynb | 154 +- 09_unsupervised_learning.ipynb | 18580 ++++++++-------- 6 files changed, 9903 insertions(+), 9483 deletions(-) diff --git a/01_the_machine_learning_landscape.ipynb b/01_the_machine_learning_landscape.ipynb index 60223e115..c32d55752 100644 --- a/01_the_machine_learning_landscape.ipynb +++ b/01_the_machine_learning_landscape.ipynb @@ -92,7 +92,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "책에 있는 코드는 데이터 파일이 현재 디렉토리에 있다고 가정합니다. 여기에서는 datasets/lifesat 안에서 파일을 읽어 들입니다." + "책에 있는 코드는 데이터 파일이 현재 디렉토리에 있다고 가정합니다. 여기에서는 `datasets/lifesat` 안에서 파일을 읽어 들입니다." ] }, { @@ -2979,7 +2979,7 @@ ], "metadata": { "kernelspec": { - "display_name": "TensorFlow 2.4 on Python 3.8 & CUDA 11.1", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -2993,7 +2993,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.7.3" }, "nav_menu": {}, "toc": { diff --git a/05_support_vector_machines.ipynb b/05_support_vector_machines.ipynb index 7563443d1..6d82eb122 100644 --- a/05_support_vector_machines.ipynb +++ b/05_support_vector_machines.ipynb @@ -81,14 +81,16 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 라지 마진 분류" + "# 선형 SVM 분류" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "다음 몇 개의 코드 셀은 5장 앞부분의 그래프를 만듭니다. 실제 코드 예제는 그 이후에 나옵니다:" + "다음 몇 개의 코드 셀은 5장 앞부분의 그래프를 만듭니다. 실제 코드 예제는 그 이후에 나옵니다.\n", + "\n", + "**<그림 5–1. 라지 마진 분류> 생성 코드**" ] }, { @@ -203,7 +205,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 특성의 스케일에 민감함" + "**<그림 5-2. 특성 스케일에 따른 민감성> 생성 코드**" ] }, { @@ -270,7 +272,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 이상치에 민감함" + "## 소프트 마진 분류\n", + "\n", + "**<그림 5-3. 이상치에 민감한 하드 마진> 생성 코드**" ] }, { @@ -348,14 +352,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 라지 마진 vs 마진 오류" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "다음이 5장의 첫 번째 코드 예제입니다:" + "**다음이 5장의 첫 번째 코드 예제입니다:**" ] }, { @@ -418,7 +415,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "여러가지 규제 설정을 비교하는 그래프를 만들겠습니다:" + "**<그림 5-4. 넓은 마진(왼쪽) 대 적은 마진 오류(오른쪽)> 생성 코드**" ] }, { @@ -548,6 +545,13 @@ "# 비선형 분류" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-5. 특성을 추가하여 선형적으로 구분되는 데이터셋 만들기>**" + ] + }, { "cell_type": "code", "execution_count": 11, @@ -641,6 +645,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**다음이 5장의 두 번째 코드 예제입니다:**" + ] + }, { "cell_type": "code", "execution_count": 13, @@ -681,6 +692,13 @@ "polynomial_svm_clf.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-6. 다항 특성을 사용한 선형 SVM 분류기> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 14, @@ -724,6 +742,15 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 다항식 커널 \n", + "\n", + "**다음 코드 에제:**" + ] + }, { "cell_type": "code", "execution_count": 15, @@ -751,6 +778,13 @@ "poly_kernel_svm_clf.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-7. 다항식 커널을 사용한 SVM 분류기> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 16, @@ -819,6 +853,20 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 유사도 특성" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-8. 가우시안 RBF를 사용한 유사도 특성> 생성 코드**" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -939,6 +987,20 @@ " print(\"Phi({}, {}) = {}\".format(x1_example, landmark, k))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 가우시안 RBF 커널" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**다음 코드 예제:**" + ] + }, { "cell_type": "code", "execution_count": 20, @@ -964,6 +1026,13 @@ "rbf_kernel_svm_clf.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-9. RBF 커널을 사용한 SVM 분류기> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 21, @@ -1028,7 +1097,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 회귀" + "# SVM 회귀" ] }, { @@ -1043,6 +1112,13 @@ "y = (4 + 3 * X + np.random.randn(m, 1)).ravel()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**다음 코드 예제:**" + ] + }, { "cell_type": "code", "execution_count": 23, @@ -1066,6 +1142,13 @@ "svm_reg.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-10. SVM 회귀> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 24, @@ -1165,6 +1248,13 @@ "**노트**: 향후 버전을 위해 사이킷런 0.22에서 기본값이 될 `gamma=\"scale\"`으로 지정했습니다." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**다음 코드 예제:**" + ] + }, { "cell_type": "code", "execution_count": 27, @@ -1188,6 +1278,13 @@ "svm_poly_reg.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-11. 2차 다항 커널을 사용한 SVM 회귀> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 28, @@ -1255,7 +1352,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# SVM 이론" + "# SVM 이론\n", + "\n", + "## 결정 함수와 예측" ] }, { @@ -1272,6 +1371,13 @@ "$" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 5-12. iris 데이터셋의 결정 함수> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 30, @@ -1351,7 +1457,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 작은 가중치 벡터가 라지 마진을 만듭니다" + "**<그림 5-13. 가중치 벡터가 작을수록 마진은 커집니다> 생성 코드**" ] }, { @@ -1538,7 +1644,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 힌지 손실" + "**힌지 손실 그림 생성 코드**" ] }, { @@ -2891,7 +2997,7 @@ ], "metadata": { "kernelspec": { - "display_name": "TensorFlow 2.4 on Python 3.8 & CUDA 11.1", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -2905,7 +3011,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.7.3" }, "nav_menu": {}, "toc": { diff --git a/06_decision_trees.ipynb b/06_decision_trees.ipynb index 18e9ed96c..54a83f469 100644 --- a/06_decision_trees.ipynb +++ b/06_decision_trees.ipynb @@ -86,7 +86,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 훈련과 시각화" + "# 결정 트리 학습과 시각화" ] }, { @@ -117,6 +117,13 @@ "tree_clf.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-1. 붓꽃 결정 트리> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 3, @@ -237,6 +244,13 @@ "Source.from_file(os.path.join(IMAGES_PATH, \"iris_tree.dot\"))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 예측하기" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -267,6 +281,13 @@ "$" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-2. 결정 트리의 결정 경계> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 4, @@ -338,7 +359,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 클래스와 클래스 확률을 예측하기" + "# 클래스 확률 추정" ] }, { @@ -385,7 +406,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 높은 분산" + "# 규제 매개변수" ] }, { @@ -417,6 +438,13 @@ "tree_clf_tweaked.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-8. 훈련 세트의 세부사항에 민감한 결정 트리> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 8, @@ -454,6 +482,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-3. min_samples_leaf 매개변수를 사용한 규제> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 10, @@ -501,6 +536,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "데이터셋을 회전하면 완전히 다른 결정 경계를 만듭니다:" + ] + }, { "cell_type": "code", "execution_count": 11, @@ -533,6 +575,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-7. 훈련 세트의 회전에 민감한 결정 트리> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 12, @@ -587,7 +636,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 회귀 트리" + "# 회귀" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "간단한 선형 데이터셋을 준비합니다:" ] }, { @@ -604,6 +660,13 @@ "y = y + np.random.randn(m, 1) / 10" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**코드 예제:**" + ] + }, { "cell_type": "code", "execution_count": 14, @@ -627,6 +690,13 @@ "tree_reg.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-5. 두 개의 결정 트리 회귀 모델의 예측> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 15, @@ -694,6 +764,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-4. 회귀 결정 트리> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 16, @@ -841,6 +918,13 @@ "Source.from_file(os.path.join(IMAGES_PATH, \"regression_tree.dot\"))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 6-6. 결정 트리 회귀 모델의 규제> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 18, @@ -1222,7 +1306,7 @@ ], "metadata": { "kernelspec": { - "display_name": "TensorFlow 2.4 on Python 3.8 & CUDA 11.1", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1236,7 +1320,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.7.3" }, "nav_menu": { "height": "309px", diff --git a/07_ensemble_learning_and_random_forests.ipynb b/07_ensemble_learning_and_random_forests.ipynb index 3f6b1ed13..a9f2fa195 100644 --- a/07_ensemble_learning_and_random_forests.ipynb +++ b/07_ensemble_learning_and_random_forests.ipynb @@ -100,6 +100,13 @@ "cumulative_heads_ratio = np.cumsum(coin_tosses, axis=0) / np.arange(1, 10001).reshape(-1, 1)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 7-3. 큰 수의 법칙> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 3, @@ -138,6 +145,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "moons 데이터셋을 사용해 보죠:" + ] + }, { "cell_type": "code", "execution_count": 4, @@ -158,6 +172,13 @@ "**노트**: 향후 버전을 위해 사이킷런에서 기본 값이 될 `solver=\"lbfgs\"`, `n_estimators=100`, `gamma=\"scale\"`로 지정합니다." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**코드 예제:**" + ] + }, { "cell_type": "code", "execution_count": 5, @@ -298,7 +319,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 배깅 앙상블" + "# 배깅과 페이스팅" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 사이킷런의 배깅과 페이스팅" ] }, { @@ -355,13 +383,20 @@ "print(accuracy_score(y_test, y_pred_tree))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 7-5. 단일 경정 트리(왼쪽)와 500개 트리로 만든 배깅 앙상블(오른쪽) 비교> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ - "from matplotlib.colors import ListedColormap\n", + "**<그림 7-1. > 생성 코드**from matplotlib.colors import ListedColormap\n", "\n", "def plot_decision_boundary(clf, X, y, axes=[-1.5, 2.45, -1, 1.5], alpha=0.5, contour=True):\n", " x1s = np.linspace(axes[0], axes[1], 100)\n", @@ -384,7 +419,9 @@ { "cell_type": "code", "execution_count": 14, - "metadata": {}, + "metadata": { + "scrolled": true + }, "outputs": [ { "name": "stdout", @@ -419,143 +456,6 @@ "plt.show()" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 랜덤 포레스트" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "bag_clf = BaggingClassifier(\n", - " DecisionTreeClassifier(max_features=\"sqrt\", max_leaf_nodes=16),\n", - " n_estimators=500, random_state=42)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "bag_clf.fit(X_train, y_train)\n", - "y_pred = bag_clf.predict(X_test)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.ensemble import RandomForestClassifier\n", - "\n", - "rnd_clf = RandomForestClassifier(n_estimators=500, max_leaf_nodes=16, random_state=42)\n", - "rnd_clf.fit(X_train, y_train)\n", - "\n", - "y_pred_rf = rnd_clf.predict(X_test)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.952" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.sum(y_pred == y_pred_rf) / len(y_pred) # 거의 에측이 동일합니다." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "sepal length (cm) 0.11249225099876375\n", - "sepal width (cm) 0.02311928828251033\n", - "petal length (cm) 0.4410304643639577\n", - "petal width (cm) 0.4233579963547682\n" - ] - } - ], - "source": [ - "from sklearn.datasets import load_iris\n", - "iris = load_iris()\n", - "rnd_clf = RandomForestClassifier(n_estimators=500, random_state=42)\n", - "rnd_clf.fit(iris[\"data\"], iris[\"target\"])\n", - "for name, score in zip(iris[\"feature_names\"], rnd_clf.feature_importances_):\n", - " print(name, score)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.11249225, 0.02311929, 0.44103046, 0.423358 ])" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rnd_clf.feature_importances_" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(6, 4))\n", - "\n", - "for i in range(15):\n", - " tree_clf = DecisionTreeClassifier(max_leaf_nodes=16, random_state=42 + i)\n", - " indices_with_replacement = np.random.randint(0, len(X_train), len(X_train))\n", - " tree_clf.fit(X[indices_with_replacement], y[indices_with_replacement])\n", - " plot_decision_boundary(tree_clf, X, y, axes=[-1.5, 2.45, -1, 1.5], alpha=0.02, contour=False)\n", - "\n", - "plt.show()" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -1003,6 +903,75 @@ "accuracy_score(y_test, y_pred)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 랜덤 포레스트" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "rnd_clf = RandomForestClassifier(n_estimators=500, max_leaf_nodes=16, random_state=42)\n", + "rnd_clf.fit(X_train, y_train)\n", + "\n", + "y_pred_rf = rnd_clf.predict(X_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "랜덤 포레스트는 결정 트리의 배깅과 비슷합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "bag_clf = BaggingClassifier(\n", + " DecisionTreeClassifier(max_features=\"sqrt\", max_leaf_nodes=16),\n", + " n_estimators=500, random_state=42)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "bag_clf.fit(X_train, y_train)\n", + "y_pred = bag_clf.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.952" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(y_pred == y_pred_rf) / len(y_pred) # 거의 에측이 동일합니다." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1010,6 +979,95 @@ "## 특성 중요도" ] }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sepal length (cm) 0.11249225099876375\n", + "sepal width (cm) 0.02311928828251033\n", + "petal length (cm) 0.4410304643639577\n", + "petal width (cm) 0.4233579963547682\n" + ] + } + ], + "source": [ + "from sklearn.datasets import load_iris\n", + "iris = load_iris()\n", + "rnd_clf = RandomForestClassifier(n_estimators=500, random_state=42)\n", + "rnd_clf.fit(iris[\"data\"], iris[\"target\"])\n", + "for name, score in zip(iris[\"feature_names\"], rnd_clf.feature_importances_):\n", + " print(name, score)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.11249225, 0.02311929, 0.44103046, 0.423358 ])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rnd_clf.feature_importances_" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "다음 그림은 15개 결정 트리의 결정 경계를 중첩한 것입니다. 여기서 볼 수 있듯이 개별 결정 트리는 불완전하지만 앙상블되면 매우 좋은 결정 경계를 만듭니다:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(6, 4))\n", + "\n", + "for i in range(15):\n", + " tree_clf = DecisionTreeClassifier(max_leaf_nodes=16, random_state=42 + i)\n", + " indices_with_replacement = np.random.randint(0, len(X_train), len(X_train))\n", + " tree_clf.fit(X[indices_with_replacement], y[indices_with_replacement])\n", + " plot_decision_boundary(tree_clf, X, y, axes=[-1.5, 2.45, -1, 1.5], alpha=0.02, contour=False)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 7-6. (랜덤 포레스트 분류기에서 얻은) MNIST 픽셀 중요도> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 25, @@ -1095,7 +1153,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 에이다부스트" + "# 부스팅\n", + "\n", + "## 에이다부스트" ] }, { @@ -1146,6 +1206,13 @@ "plot_decision_boundary(ada_clf, X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 7-8. 연속된 예측기의 결정 경계> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 31, @@ -1208,6 +1275,13 @@ "# 그레이디언트 부스팅" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "간단한 이차식 형태의 데이터셋을 만들어 보죠:" + ] + }, { "cell_type": "code", "execution_count": 32, @@ -1219,6 +1293,13 @@ "y = 3*X[:, 0]**2 + 0.05 * np.random.randn(100)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "이제 이 데이터셋에 결정 트리 회귀 모델을 훈련시킵니다:" + ] + }, { "cell_type": "code", "execution_count": 33, @@ -1324,6 +1405,13 @@ "y_pred" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 7-9> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 39, @@ -1400,6 +1488,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "이제 그레이디언트 부스팅 회귀 모델을 사용해 보죠:" + ] + }, { "cell_type": "code", "execution_count": 41, @@ -1424,6 +1519,13 @@ "gbrt.fit(X, y)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 7-10. 예측기가 부족한 경우(왼쪽)과 너무 많은 경우(오른쪽)의 GBRT 앙상블> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 42, @@ -1492,7 +1594,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## 조기 종료를 사용한 그래디언트 부스팅" + "**조기 종료를 사용한 그래디언트 부스팅**" ] }, { @@ -1529,6 +1631,13 @@ "gbrt_best.fit(X_train, y_train)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 7-11. 조기 종료를 사용하여 트리 수 튜닝> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 45, @@ -1587,6 +1696,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "어느 정도 유예를 갖는 조기 종료(5 에포크 동안 향상되지 않을 때만 훈련 중지):" + ] + }, { "cell_type": "code", "execution_count": 47, @@ -1649,7 +1765,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## XGBoost 사용하기" + "**XGBoost 사용하기**" ] }, { @@ -2402,7 +2518,7 @@ ], "metadata": { "kernelspec": { - "display_name": "TensorFlow 2.4 on Python 3.8 & CUDA 11.1", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -2416,7 +2532,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.7" + "version": "3.7.3" }, "nav_menu": { "height": "252px", diff --git a/08_dimensionality_reduction.ipynb b/08_dimensionality_reduction.ipynb index 7afdc4c76..5df5614c2 100644 --- a/08_dimensionality_reduction.ipynb +++ b/08_dimensionality_reduction.ipynb @@ -81,7 +81,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 투영 방법\n", + "# PCA\n", "3D 데이터셋을 만듭니다:" ] }, @@ -107,7 +107,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## SVD 분해를 사용한 PCA" + "## 주성분" ] }, { @@ -165,6 +165,13 @@ "np.allclose(X_centered, U.dot(S).dot(Vt))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## d 차원으로 투영하기" + ] + }, { "cell_type": "code", "execution_count": 6, @@ -188,7 +195,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## 사이킷런을 사용한 PCA" + "## 사이킷런 사용하기" ] }, { @@ -463,6 +470,13 @@ "축이 뒤집힌 것을 알 수 있습니다." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 설명된 분산의 비율" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -558,6 +572,13 @@ "이를 그래프로 멋지게 그려보죠! :)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-2. 2차원에 가깝게 배치된 3차원 데이터셋> 생성 코드**" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -687,6 +708,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-3. 투영하여 만들어진 새로운 2D 데이터셋> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 25, @@ -732,8 +760,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 매니폴드 학습\n", - "스위스 롤:" + "**<그림 8-4. 스위스롤 데이터셋> 생성 코드**" ] }, { @@ -790,6 +817,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-5. 평면에 그냥 투영시켜서 뭉개진 것(왼쪽)과 스위스 롤을 펼쳐 놓은 것(오른쪽)> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 28, @@ -835,6 +869,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-6. 저차원에서 항상 간단하지 않은 결정 경계> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 29, @@ -997,7 +1038,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# PCA" + "**<그림 8-7. 투영할 부분 공간 선택하기> 생성 코드**" ] }, { @@ -1090,7 +1131,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# MNIST 압축" + "## 적절한 차원수 선택하기" ] }, { @@ -1151,6 +1192,13 @@ "d" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-8. 차원 수에 대한 함수로 나타낸 설명된 분산> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 35, @@ -1242,6 +1290,13 @@ "np.sum(pca.explained_variance_ratio_)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 압축을 위한 PCA" + ] + }, { "cell_type": "code", "execution_count": 39, @@ -1253,6 +1308,13 @@ "X_recovered = pca.inverse_transform(X_reduced)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-9. 분산의 95%가 유지된 MNIST 압축> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 40, @@ -1321,6 +1383,23 @@ "X_reduced_pca = X_reduced" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 랜덤 PCA" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "rnd_pca = PCA(n_components=154, svd_solver=\"randomized\", random_state=42)\n", + "X_reduced = rnd_pca.fit_transform(X_train)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1362,6 +1441,13 @@ "X_recovered_inc_pca = inc_pca.inverse_transform(X_reduced)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "압축이 잘 되었는지 확인해 보죠:" + ] + }, { "cell_type": "code", "execution_count": 45, @@ -1456,7 +1542,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### `memmap()` 사용하기" + "**`memmap()` 사용하기**" ] }, { @@ -1527,27 +1613,27 @@ ] }, { - "cell_type": "code", - "execution_count": 52, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "rnd_pca = PCA(n_components=154, svd_solver=\"randomized\", random_state=42)\n", - "X_reduced = rnd_pca.fit_transform(X_train)" + "**시간 복잡도**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## 시간 복잡도" + "주성분 개수를 바꾸어가며 점진적 PCA와 랜덤 PCA에 비해 일반 PCA 시간을 재어보겠습니다:" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 52, "metadata": {}, + "outputs": [], "source": [ - "주성분 개수를 바꾸어가며 점진적 PCA와 랜덤 PCA에 비해 일반 PCA 시간을 재어보겠습니다:" + "rnd_pca = PCA(n_components=154, svd_solver=\"randomized\", random_state=42)\n", + "X_reduced = rnd_pca.fit_transform(X_train)" ] }, { @@ -1741,6 +1827,13 @@ "X_reduced = rbf_pca.fit_transform(X)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-10. 여러 가지 커널의 kPCA를 사용해 2D로 축소시킨 스위스 롤> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 58, @@ -1795,6 +1888,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-11. 커널 PCA와 재구성 원상 오차> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 59, @@ -1821,7 +1921,7 @@ } ], "source": [ - "plt.figure(figsize=(6, 5))\n", + "**<그림 8-1. > 생성 코드**plt.figure(figsize=(6, 5))\n", "\n", "X_inverse = rbf_pca.inverse_transform(X_reduced_rbf)\n", "\n", @@ -1868,6 +1968,13 @@ "plt.grid(True)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 커널 선택과 하이퍼파라미터 튜닝" + ] + }, { "cell_type": "code", "execution_count": 61, @@ -2028,7 +2135,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# MDS, Isomap, t-SNE" + "# 다른 차원 축소 기법" ] }, { @@ -2082,6 +2189,13 @@ "X_reduced_lda = lda.transform(X_mnist)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**<그림 8-13. 여러 가지 기법을 사용해 스위스 롤을 2D로 축소하기> 생성 코드**" + ] + }, { "cell_type": "code", "execution_count": 72, @@ -3233,7 +3347,7 @@ ], "metadata": { "kernelspec": { - "display_name": "TensorFlow 2.4 on Python 3.8 & CUDA 11.1", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -3247,7 +3361,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.7" + "version": "3.7.3" } }, "nbformat": 4, diff --git a/09_unsupervised_learning.ipynb b/09_unsupervised_learning.ipynb index 335b30f50..58d3becbe 100644 --- a/09_unsupervised_learning.ipynb +++ b/09_unsupervised_learning.ipynb @@ -1,9291 +1,9291 @@ { - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "kernelspec": { - "display_name": "TensorFlow 2.4 on Python 3.8 & CUDA 11.1", - "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": "3.8.7" - }, - "colab": { - "name": "09_unsupervised_learning.ipynb", - "provenance": [] - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "iBWR152fDRnt" - }, - "source": [ - "**9장 – 비지도 학습**\n", - "\n", - "_이 노트북은 9장에 있는 모든 샘플 코드와 연습문제 해답을 가지고 있습니다._" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "qtz_SmlnDRnv" - }, - "source": [ - "\n", - " \n", - "
\n", - " 구글 코랩에서 실행하기\n", - "
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "0jCCcpBgDRnw" - }, - "source": [ - "# 설정" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "R5WSjhOtDRnw" - }, - "source": [ - "먼저 몇 개의 모듈을 임포트합니다. 맷플롯립 그래프를 인라인으로 출력하도록 만들고 그림을 저장하는 함수를 준비합니다. 또한 파이썬 버전이 3.5 이상인지 확인합니다(파이썬 2.x에서도 동작하지만 곧 지원이 중단되므로 파이썬 3을 사용하는 것이 좋습니다). 사이킷런 버전이 0.20 이상인지도 확인합니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "9yhTCQy4DRnw" - }, - "source": [ - "# 파이썬 ≥3.5 필수\n", - "import sys\n", - "assert sys.version_info >= (3, 5)\n", - "\n", - "# 사이킷런 ≥0.20 필수\n", - "import sklearn\n", - "assert sklearn.__version__ >= \"0.20\"\n", - "\n", - "# 공통 모듈 임포트\n", - "import numpy as np\n", - "import os\n", - "\n", - "# 노트북 실행 결과를 동일하게 유지하기 위해\n", - "np.random.seed(42)\n", - "\n", - "# 깔끔한 그래프 출력을 위해\n", - "%matplotlib inline\n", - "import matplotlib as mpl\n", - "import matplotlib.pyplot as plt\n", - "mpl.rc('axes', labelsize=14)\n", - "mpl.rc('xtick', labelsize=12)\n", - "mpl.rc('ytick', labelsize=12)\n", - "\n", - "# 그림을 저장할 위치\n", - "PROJECT_ROOT_DIR = \".\"\n", - "CHAPTER_ID = \"unsupervised_learning\"\n", - "IMAGES_PATH = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID)\n", - "os.makedirs(IMAGES_PATH, exist_ok=True)\n", - "\n", - "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n", - " path = os.path.join(IMAGES_PATH, fig_id + \".\" + fig_extension)\n", - " print(\"그림 저장:\", fig_id)\n", - " if tight_layout:\n", - " plt.tight_layout()\n", - " plt.savefig(path, format=fig_extension, dpi=resolution)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ZjHtcWTGDRnx" - }, - "source": [ - "# 군집" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "A-t07gJNDRny" - }, - "source": [ - "## 소개 – 분류 _vs_ 군집" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "NK0bWk9dDRny" - }, - "source": [ - "from sklearn.datasets import load_iris" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "je2OuMEnDRnz", - "outputId": "64d21520-94e4-4139-8387-d44137986f91" - }, - "source": [ - "data = load_iris()\n", - "X = data.data\n", - "y = data.target\n", - "data.target_names" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array(['setosa', 'versicolor', 'virginica'], dtype='" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "-ecTCluLDRn0" - }, - "source": [ - "(아래에서 설명할) 가우시안 혼합 모델은 3개의 클러스터를 잘 나눌 수 있습니다(꽃잎 길이와 너비, 꽃받침 길이와 너비 4개의 특성을 모두 사용합니다)." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "c4Gx5CEiDRn1" - }, - "source": [ - "from sklearn.mixture import GaussianMixture" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "PNp2fNGCDRn1" - }, - "source": [ - "y_pred = GaussianMixture(n_components=3, random_state=42).fit(X).predict(X)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "4J_DxxOTDRn1" - }, - "source": [ - "각 클러스터를 하나의 클래스에 매핑해보죠. 이 매핑을 (책에서처럼) 하드 코딩하는 대신 (`scipy.stats.mode()` 함수를 사용해) 각 클러스터에서 가장 많은 클래스를 선택합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "in6fvsHwDRn1", - "outputId": "c445736b-fd31-4f93-d994-42713dd02950" - }, - "source": [ - "from scipy import stats\n", - "\n", - "mapping = {}\n", - "for class_id in np.unique(y):\n", - " mode, _ = stats.mode(y_pred[y==class_id])\n", - " mapping[mode[0]] = class_id\n", - "\n", - "mapping" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "{1: 0, 2: 1, 0: 2}" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "xPPdxkvtDRn2" - }, - "source": [ - "y_pred = np.array([mapping[cluster_id] for cluster_id in y_pred])" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "VO2iUrFHDRn2", - "outputId": "2bfb0c08-3de2-4434-c5f7-43a87f54bafb" - }, - "source": [ - "plt.plot(X[y_pred==0, 2], X[y_pred==0, 3], \"yo\", label=\"Cluster 1\")\n", - "plt.plot(X[y_pred==1, 2], X[y_pred==1, 3], \"bs\", label=\"Cluster 2\")\n", - "plt.plot(X[y_pred==2, 2], X[y_pred==2, 3], \"g^\", label=\"Cluster 3\")\n", - "plt.xlabel(\"Petal length\", fontsize=14)\n", - "plt.ylabel(\"Petal width\", fontsize=14)\n", - "plt.legend(loc=\"upper left\", fontsize=12)\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "MAvROvrGDRn2", - "outputId": "37242143-a543-4643-a273-8c72f57765ed" - }, - "source": [ - "np.sum(y_pred==y)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "145" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "GV_ZUa-QDRn3", - "outputId": "20d2d9b6-11d4-4958-85d2-467cd05ef1c2" - }, - "source": [ - "np.sum(y_pred==y) / len(y_pred)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.9666666666666667" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "jShtxQDsDRn3" - }, - "source": [ - "**노트**: 사이킷런 알고리즘이 이따금 업데이트되기 때문에 이 노트북의 결과가 책과 조금 다를 수 있습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "xbi5pS5SDRn3" - }, - "source": [ - "## K-평균" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Xe7OmDeZDRn3" - }, - "source": [ - "먼저 예제 데이터를 생성해 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "ix5g86PfDRn3" - }, - "source": [ - "from sklearn.datasets import make_blobs" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "I5NtJdKaDRn4" - }, - "source": [ - "blob_centers = np.array(\n", - " [[ 0.2, 2.3],\n", - " [-1.5 , 2.3],\n", - " [-2.8, 1.8],\n", - " [-2.8, 2.8],\n", - " [-2.8, 1.3]])\n", - "blob_std = np.array([0.4, 0.3, 0.1, 0.1, 0.1])" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "GgW2CeBCDRn4" - }, - "source": [ - "X, y = make_blobs(n_samples=2000, centers=blob_centers,\n", - " cluster_std=blob_std, random_state=7)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "MqZ6R5yaDRn4" - }, - "source": [ - "데이터를 그래프로 그립니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "SoBIySCCDRn4" - }, - "source": [ - "def plot_clusters(X, y=None):\n", - " plt.scatter(X[:, 0], X[:, 1], c=y, s=1)\n", - " plt.xlabel(\"$x_1$\", fontsize=14)\n", - " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "XPobAJYpDRn4", - "outputId": "405d8227-613d-4b63-be37-7d0e5b0b71f2" - }, - "source": [ - "plt.figure(figsize=(8, 4))\n", - "plot_clusters(X)\n", - "save_fig(\"blobs_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: blobs_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "hI6mBvcEDRn5" - }, - "source": [ - "### 훈련과 예측" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "tW5mZU-0DRn5" - }, - "source": [ - "이 데이터셋에 K-평균 군집 알고리즘을 훈련해 보겠습니다. 이 알고리즘은 클러스터 중심을 찾고 각 샘플을 가까운 클러스터에 할당합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "nrOyZDfHDRn5" - }, - "source": [ - "from sklearn.cluster import KMeans" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "9Q11f72sDRn5" - }, - "source": [ - "k = 5\n", - "kmeans = KMeans(n_clusters=k, random_state=42)\n", - "y_pred = kmeans.fit_predict(X)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "dRnO6cReDRn5" - }, - "source": [ - "각 샘플은 5개의 클러스터 중 하나에 할당됩니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "pRteTrQjDRn5", - "outputId": "b6624063-992c-4354-8384-ee3cbce5584b" - }, - "source": [ - "y_pred" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([4, 0, 1, ..., 2, 1, 0], dtype=int32)" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "5o-bhV4HDRn5", - "outputId": "38ff4ed1-aedd-4052-9a4d-de8a0ce58838" - }, - "source": [ - "y_pred is kmeans.labels_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "mKSHX6zUDRn6" - }, - "source": [ - "5개의 _센트로이드_ (즉 클러스터 중심)을 찾았습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "d3GRS2QwDRn6", - "outputId": "90205ef6-83cf-4829-a610-49bb46fb9f01" - }, - "source": [ - "kmeans.cluster_centers_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[-2.80389616, 1.80117999],\n", - " [ 0.20876306, 2.25551336],\n", - " [-2.79290307, 2.79641063],\n", - " [-1.46679593, 2.28585348],\n", - " [-2.80037642, 1.30082566]])" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "gnIBkKeLDRn6" - }, - "source": [ - "`KMeans` 객체는 훈련한 샘플의 레이블을 가지고 있습니다. 조금 혼동스럽지만 여기에서 샘플의 _레이블_ 은 샘플에 할당한 클러스터의 인덱스입니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "k2v5up9QDRn6", - "outputId": "000dc45d-e2e5-4e30-97da-f886cbc3c4a8" - }, - "source": [ - "kmeans.labels_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([4, 0, 1, ..., 2, 1, 0], dtype=int32)" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "_ZG8jqh-DRn6" - }, - "source": [ - "물론 새로운 샘플의 레이블을 예측할 수 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "wmUKGmd6DRn6", - "outputId": "023857d1-811c-477d-be8a-6782e550c62a" - }, - "source": [ - "X_new = np.array([[0, 2], [3, 2], [-3, 3], [-3, 2.5]])\n", - "kmeans.predict(X_new)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([1, 1, 2, 2], dtype=int32)" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "0icguIZ_DRn6" - }, - "source": [ - "### 결정 경계" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "wvoMN8MeDRn7" - }, - "source": [ - "이 모델의 결정 경계를 그려 보죠. 이 그림은 _보로노이 다이어그램_ 이 됩니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "ReWwW7UmDRn7" - }, - "source": [ - "def plot_data(X):\n", - " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", - "\n", - "def plot_centroids(centroids, weights=None, circle_color='w', cross_color='k'):\n", - " if weights is not None:\n", - " centroids = centroids[weights > weights.max() / 10]\n", - " plt.scatter(centroids[:, 0], centroids[:, 1],\n", - " marker='o', s=35, linewidths=8,\n", - " color=circle_color, zorder=10, alpha=0.9)\n", - " plt.scatter(centroids[:, 0], centroids[:, 1],\n", - " marker='x', s=2, linewidths=12, \n", - " color=cross_color, zorder=11, alpha=1)\n", - "\n", - "def plot_decision_boundaries(clusterer, X, resolution=1000, show_centroids=True,\n", - " show_xlabels=True, show_ylabels=True):\n", - " mins = X.min(axis=0) - 0.1\n", - " maxs = X.max(axis=0) + 0.1\n", - " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", - " np.linspace(mins[1], maxs[1], resolution))\n", - " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", - " Z = Z.reshape(xx.shape)\n", - "\n", - " plt.contourf(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", - " cmap=\"Pastel2\")\n", - " plt.contour(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", - " linewidths=1, colors='k')\n", - " plot_data(X)\n", - " if show_centroids:\n", - " plot_centroids(clusterer.cluster_centers_)\n", - "\n", - " if show_xlabels:\n", - " plt.xlabel(\"$x_1$\", fontsize=14)\n", - " else:\n", - " plt.tick_params(labelbottom=False)\n", - " if show_ylabels:\n", - " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", - " else:\n", - " plt.tick_params(labelleft=False)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "3ryAVBMUDRn7", - "outputId": "056c30d3-e72f-4b42-eedc-b4f6c0b60ce1" - }, - "source": [ - "plt.figure(figsize=(8, 4))\n", - "plot_decision_boundaries(kmeans, X)\n", - "save_fig(\"voronoi_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: voronoi_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "BYgQ0bVMDRn7" - }, - "source": [ - "나쁘지 않군요! 경계 근처에 있는 일부 샘플은 아마도 잘못 클러스터에 할당된 것 같습니다. 하지만 전반적으로 아주 좋은 것 같습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "5BpGmZYSDRn7" - }, - "source": [ - "### 하드 군집 _vs_ 소프트 군집" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "4hiS2mTKDRn8" - }, - "source": [ - "_하드 군집_ 은 각 샘플에 대해 가장 가까운 클러스터를 선택합니다. 이 대신 샘플에서 5개의 센트로이드까지 거리를 측정하는 것이 나을 수 있습니다. `transform()` 메서드에서 이 거리를 계산합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "hOkmBNyCDRn8", - "outputId": "ee0f8380-c9b9-444a-dc79-c3d0d8fc735a" - }, - "source": [ - "kmeans.transform(X_new)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[2.81093633, 0.32995317, 2.9042344 , 1.49439034, 2.88633901],\n", - " [5.80730058, 2.80290755, 5.84739223, 4.4759332 , 5.84236351],\n", - " [1.21475352, 3.29399768, 0.29040966, 1.69136631, 1.71086031],\n", - " [0.72581411, 3.21806371, 0.36159148, 1.54808703, 1.21567622]])" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "mm_xZcwGDRn8" - }, - "source": [ - "이 거리가 샘플과 센트로이드 사이의 유클리드 거리인지 확인할 수 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "DDm5zKfHDRn8", - "outputId": "3e78803f-b778-4d01-ced5-9253e9ad8993" - }, - "source": [ - "np.linalg.norm(np.tile(X_new, (1, k)).reshape(-1, k, 2) - kmeans.cluster_centers_, axis=2)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[2.81093633, 0.32995317, 2.9042344 , 1.49439034, 2.88633901],\n", - " [5.80730058, 2.80290755, 5.84739223, 4.4759332 , 5.84236351],\n", - " [1.21475352, 3.29399768, 0.29040966, 1.69136631, 1.71086031],\n", - " [0.72581411, 3.21806371, 0.36159148, 1.54808703, 1.21567622]])" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "uUg1eRjrDRn8" - }, - "source": [ - "### K-평균 알고리즘" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "6guLvX6gDRn8" - }, - "source": [ - "K-평균 알고리즘은 가장 빠르고 가장 간단한 군집 알고리즘 중 하나입니다:\n", - "* 먼저 $k$ 개의 센트로이드를 랜덤하게 초기화합니다: 데이터셋에서 $k$ 개의 샘플을 랜덤하게 선택하고 센트로이드를 그 위치에 놓습니다.\n", - "* 수렴할 때까지 다음을 반복합니다(즉, 센트로이드가 더이상 이동하지 않을 때까지):\n", - " * 각 샘플을 가장 가까운 센트로이드에 할당합니다.\n", - " * 센트로이드에 할당된 샘플의 평균으로 센트로이드를 업데이트합니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "-GgbWnnfDRn8" - }, - "source": [ - "`KMeans` 클래스는 기본적으로 최적화된 알고리즘을 적용합니다. (교육적인 목적으로) 원래 K-평균 알고리즘을 사용하려면 `init=\"randome\"`, `n_init=1`, `algorithm=\"full\"`로 설정해야 합니다. 이 매개변수들은 아래에서 설명하겠습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "j7iiWdeADRn8" - }, - "source": [ - "K-평균 알고리즘을 1, 2, 3회 반복하고 센트로이드가 어떻게 움직이는지 확인해 보겠습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Qt9_WHYoDRn8", - "outputId": "873b926f-b90c-4cb7-a68f-987a064e587f" - }, - "source": [ - "kmeans_iter1 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", - " algorithm=\"full\", max_iter=1, random_state=0)\n", - "kmeans_iter2 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", - " algorithm=\"full\", max_iter=2, random_state=0)\n", - "kmeans_iter3 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", - " algorithm=\"full\", max_iter=3, random_state=0)\n", - "kmeans_iter1.fit(X)\n", - "kmeans_iter2.fit(X)\n", - "kmeans_iter3.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "KMeans(algorithm='full', init='random', max_iter=3, n_clusters=5, n_init=1,\n", - " random_state=0)" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Epxlp7oMDRn9" - }, - "source": [ - "그래프를 그려 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "bE10MraADRn9", - "outputId": "d94e6dfa-c2c8-47ad-f49d-a3e704124606" - }, - "source": [ - "plt.figure(figsize=(10, 8))\n", - "\n", - "plt.subplot(321)\n", - "plot_data(X)\n", - "plot_centroids(kmeans_iter1.cluster_centers_, circle_color='r', cross_color='w')\n", - "plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", - "plt.tick_params(labelbottom=False)\n", - "plt.title(\"Update the centroids (initially randomly)\", fontsize=14)\n", - "\n", - "plt.subplot(322)\n", - "plot_decision_boundaries(kmeans_iter1, X, show_xlabels=False, show_ylabels=False)\n", - "plt.title(\"Label the instances\", fontsize=14)\n", - "\n", - "plt.subplot(323)\n", - "plot_decision_boundaries(kmeans_iter1, X, show_centroids=False, show_xlabels=False)\n", - "plot_centroids(kmeans_iter2.cluster_centers_)\n", - "\n", - "plt.subplot(324)\n", - "plot_decision_boundaries(kmeans_iter2, X, show_xlabels=False, show_ylabels=False)\n", - "\n", - "plt.subplot(325)\n", - "plot_decision_boundaries(kmeans_iter2, X, show_centroids=False)\n", - "plot_centroids(kmeans_iter3.cluster_centers_)\n", - "\n", - "plt.subplot(326)\n", - "plot_decision_boundaries(kmeans_iter3, X, show_ylabels=False)\n", - "\n", - "save_fig(\"kmeans_algorithm_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: kmeans_algorithm_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "UlAficcvDRn9" - }, - "source": [ - "### K-평균의 변동성" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "aLMO5it1DRn9" - }, - "source": [ - "원래 K-평균 알고리즘에서는 센트로이가 그냥 랜덤하게 초기되고 알고리즘은 단순히 한번씩 반복하여 앞서 본 것처럼 점차 센트로이드를 개선시킵니다.\n", - "\n", - "하지만 이 방식의 문제점은 K-평균을 여러번 (또는 다른 랜덤 시드로) 실행하면 아래에서 보듯이 매우 다른 결과를 얻게됩니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "I6mSUIGTDRn9" - }, - "source": [ - "def plot_clusterer_comparison(clusterer1, clusterer2, X, title1=None, title2=None):\n", - " clusterer1.fit(X)\n", - " clusterer2.fit(X)\n", - "\n", - " plt.figure(figsize=(10, 3.2))\n", - "\n", - " plt.subplot(121)\n", - " plot_decision_boundaries(clusterer1, X)\n", - " if title1:\n", - " plt.title(title1, fontsize=14)\n", - "\n", - " plt.subplot(122)\n", - " plot_decision_boundaries(clusterer2, X, show_ylabels=False)\n", - " if title2:\n", - " plt.title(title2, fontsize=14)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "TkX2ABn5DRn9", - "outputId": "79ab1820-a892-45f3-f0ea-8093bd24c2b1" - }, - "source": [ - "kmeans_rnd_init1 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", - " algorithm=\"full\", random_state=2)\n", - "kmeans_rnd_init2 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", - " algorithm=\"full\", random_state=5)\n", - "\n", - "plot_clusterer_comparison(kmeans_rnd_init1, kmeans_rnd_init2, X,\n", - " \"Solution 1\", \"Solution 2 (with a different random init)\")\n", - "\n", - "save_fig(\"kmeans_variability_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: kmeans_variability_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ClG6cQmTDRn9" - }, - "source": [ - "### 이너셔" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "aji12IHnDRn-" - }, - "source": [ - "최선의 모델을 선택하려면 K-평균 모델의 성능을 평가할 방법이 있어야 합니다. 안타깝지만 군집은 비지도 학습이기 때문에 타깃이 없습니다. 하지만 적어도 각 샘플과 센트로이드 사이의 거리는 측정할 수 있습니다. 이것이 _이너셔_ 지표의 아이디어입니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "gG4PPLJHDRn-", - "outputId": "ed24921f-0af4-4278-82b1-871b00b03a5f" - }, - "source": [ - "kmeans.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "211.5985372581683" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "vkPeB0yfDRn-" - }, - "source": [ - "이너셔는 각 훈련 샘플과 가장 가까운 센트로이드 사이의 제곱 거리의 합으로 쉽게 검증할 수 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "80fkIcIJDRn-", - "outputId": "1887dbb5-7464-4836-e339-acc6e74a314a" - }, - "source": [ - "X_dist = kmeans.transform(X)\n", - "np.sum(X_dist[np.arange(len(X_dist)), kmeans.labels_]**2)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "211.5985372581688" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "34pZnkDvDRn-" - }, - "source": [ - "`score()` 메서드는 음의 이너셔를 반환합니다. 왜 음수일까요? 사이킷런의 `score()` 메서드는 항상 \" _큰 값이 좋은 것_ \" 규칙을 따라야 하기 때문입니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "e0w-gelaDRn-", - "outputId": "2063e624-6ea9-4078-f0b5-c2a4a1d23d16" - }, - "source": [ - "kmeans.score(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "-211.5985372581683" - ] - }, - "execution_count": 34, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "HxMSHTyQDRn-" - }, - "source": [ - "### 다중 초기화" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Jc4rvV5cDRn-" - }, - "source": [ - "변동성 이슈를 해결하는 한 방법은 단순히 K-평균 알고리즘을 랜덤 초기화를 다르게 하여 여러 번 실행하고 가장 작은 이너셔를 만드는 솔루션을 선택합니다. 예를 들어 앞선 그림에 있는 엉터리 모델 두 개의 이너셔는 다음과 같습니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "2JHWNvmvDRn-", - "outputId": "7d78e812-2636-4ce4-e33e-9d5e319ea429" - }, - "source": [ - "kmeans_rnd_init1.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "219.43539442771402" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "T2nDkPSdDRn_", - "outputId": "344bf750-ebe7-4ca7-a95b-da166dd293ee" - }, - "source": [ - "kmeans_rnd_init2.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "211.5985372581683" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "vN7CEsLkDRn_" - }, - "source": [ - "여기서 볼 수 있듯이 앞서 훈련한 \"좋은\" 모델보다 이너셔가 더 높습니다. 즉 더 나쁘다는 것을 의미합니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Ze6UsZizDRn_" - }, - "source": [ - "`n_init` 매개변수를 지정하면 사이킷런은 원래 알고리즘을 `n_init` 번 실행하고 이너셔가 가장 작은 솔루션을 선택합니다. 이 매개변수의 기본값은 `n_init=10`입니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "q1DOKtbmDRn_", - "outputId": "ab38b60e-860e-4698-b6fa-667275bed99f" - }, - "source": [ - "kmeans_rnd_10_inits = KMeans(n_clusters=5, init=\"random\", n_init=10,\n", - " algorithm=\"full\", random_state=2)\n", - "kmeans_rnd_10_inits.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "KMeans(algorithm='full', init='random', n_clusters=5, random_state=2)" - ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "sx2e02-DDRn_" - }, - "source": [ - "여기에서 볼 수 있듯이 결국 처음 만들었던 모델을 얻었습니다. 이 모델이 최적의 K-평균 결과로 보입니다($k=5$라고 가정하고 이너셔를 기준으로 했을 때입니다)." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "J0RqlWHQDRn_", - "outputId": "086cb82b-c484-4bc7-c8e9-dbfd8a29fc87" - }, - "source": [ - "plt.figure(figsize=(8, 4))\n", - "plot_decision_boundaries(kmeans_rnd_10_inits, X)\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "gVAo_fPzDRn_" - }, - "source": [ - "### K-평균++" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "HAl26tjbDRn_" - }, - "source": [ - "센트로이드를 완전히 랜덤하게 초기화하는 대신 David Arthur와 Sergei Vassilvitskii가 [2006년 논문](https://goo.gl/eNUPw6)에서 제안한 다음 알고리즘을 사용해 초기화하는 것이 더 좋습니다:\n", - "* 데이터셋에서 무작위로 균등하게 하나의 센트로이드 $c_1$을 선택합니다.\n", - "* $D(\\mathbf{x}_i)^2$ / $\\sum\\limits_{j=1}^{m}{D(\\mathbf{x}_j)}^2$의 확률로 샘플 $\\mathbf{x}_i$를 새로운 센트로이드 $c_i$로 선택합니다. 여기에서 $D(\\mathbf{x}_i)$는 샘플 $\\mathbf{x}_i$에서 이미 선택된 가장 가까운 센트로이드까지 거리입니다. 이 확률 분포는 이미 선택한 센트로이드에서 멀리 떨어진 샘플을 센트로이드로 선택할 가능성을 높입니다.\n", - "* $k$ 개의 센트로이드를 선택할 때까지 이전 단계를 반복합니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "N_ELopShDRn_" - }, - "source": [ - "K-평균++ 알고리즘의 나머지는 일반 K-평균과 같습니다. 이 초기화 방식을 사용하면 K-평균 알고리즘이 최적의 솔루션에 수렴할 가능성이 훨씬 높아집니다. 따라서 `n_init` 값을 상당히 줄일 수 있습니다. 대부분의 경우 `n_init`를 줄이는 것이 초기화 과정에 추가된 복잡도를 보상합니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "vjVEhQD7DRn_" - }, - "source": [ - "K-평균++ 초기화를 사용하려면 간단하게 `init=\"k-means++\"`로 지정하면 됩니다(사실 이 값이 기본값입니다):" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "dtlHrvfoDRoA", - "outputId": "419b494c-4318-4dbe-9580-271a3e7fa893" - }, - "source": [ - "KMeans()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "KMeans()" - ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "7CE_xYseDRoA", - "outputId": "c81c40d3-7ad8-4b46-fe0e-5383b81b5579" - }, - "source": [ - "good_init = np.array([[-3, 3], [-3, 2], [-3, 1], [-1, 2], [0, 2]])\n", - "kmeans = KMeans(n_clusters=5, init=good_init, n_init=1, random_state=42)\n", - "kmeans.fit(X)\n", - "kmeans.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "211.5985372581683" - ] - }, - "execution_count": 40, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "bf-yt9YJDRoA" - }, - "source": [ - "### K-평균 속도 개선" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "RTANhQZtDRoA" - }, - "source": [ - "K-평균 알고리즘은 불필요한 거리 계산을 많이 피하는 식으로 속도를 크게 높일 수 있습니다. 이를 위해 삼각 부등식을 사용합니다(3개의 포인트 A, B, C가 있을 때, 거리 AC는 항상 AC ≤ AB + BC를 만족합니다). 그리고 샘플과 센트로이드 사이 거리의 최솟값과 최댓값을 유지합니다(더 자세한 내용은 Charles Elkan의 [2003년 논문](https://www.aaai.org/Papers/ICML/2003/ICML03-022.pdf)을 참고하세요)." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Wej3luuADRoA" - }, - "source": [ - "Elkan의 K-평균 방식을 사용하려면 `algorithm=\"elkan\"`으로 설정하세요. 이 방법은 희소 행렬을 지원하지 않습니다. 따라서 사이킷런은 밀집 배열에는 `\"elkan\"`을 사용하고 희소 행렬에는 (기본 K-평균 알고리즘인) `\"full`을 사용합니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "pIaJfcmfDRoA", - "outputId": "9a246ec1-1fb9-4973-9bc7-3a6e728189bd" - }, - "source": [ - "%timeit -n 50 KMeans(algorithm=\"elkan\", random_state=42).fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "125 ms ± 1.36 ms per loop (mean ± std. dev. of 7 runs, 50 loops each)\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": true, - "id": "QuwU7JWUDRoA", - "outputId": "85639ed3-590e-45d7-a0d6-c2d3d64ab8f3" - }, - "source": [ - "%timeit -n 50 KMeans(algorithm=\"full\", random_state=42).fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "116 ms ± 366 µs per loop (mean ± std. dev. of 7 runs, 50 loops each)\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "RhSuSgm2DRoA" - }, - "source": [ - "데이터셋이 작기 때문에 여기에서는 큰 차이가 없습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "5k6KAvP1DRoA" - }, - "source": [ - "### 미니배치 K-평균" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ZGWTsbcTDRoA" - }, - "source": [ - "사이킷런은 미니배치를 지원하는 K-평균 방식도 제공합니다(이 [논문](http://www.eecs.tufts.edu/~dsculley/papers/fastkmeans.pdf) 참조):" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "bKF_G0eyDRoB" - }, - "source": [ - "from sklearn.cluster import MiniBatchKMeans" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "sl1hpxcsDRoB", - "outputId": "053ab7ce-b993-4bd3-c1ee-a0f98b8d0124" - }, - "source": [ - "minibatch_kmeans = MiniBatchKMeans(n_clusters=5, random_state=42)\n", - "minibatch_kmeans.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "MiniBatchKMeans(n_clusters=5, random_state=42)" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "_jGJqdCSDRoB", - "outputId": "5592c55b-9b3e-4e70-e49f-8621f2a4ee6b" - }, - "source": [ - "minibatch_kmeans.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "211.93186531476786" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "jTksbh4-DRoB" - }, - "source": [ - "데이터셋이 메모리에 다 들어가지 못하면 가장 간단한 방법은 이전 장의 점진적 PCA에서 했던 것처럼 `memmap` 클래스를 사용하는 것입니다. 먼저 MNIST 데이터를 로드합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "mcWbyh-PDRoB" - }, - "source": [ - "import urllib.request\n", - "from sklearn.datasets import fetch_openml\n", - "\n", - "mnist = fetch_openml('mnist_784', version=1)\n", - "mnist.target = mnist.target.astype(np.int64)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "C3wnrmzVDRoB" - }, - "source": [ - "from sklearn.model_selection import train_test_split\n", - "\n", - "X_train, X_test, y_train, y_test = train_test_split(\n", - " mnist[\"data\"], mnist[\"target\"], random_state=42)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Cs4q4J8ZDRoB" - }, - "source": [ - "`memmap`에 데이터를 기록합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "HIh14ESsDRoB" - }, - "source": [ - "filename = \"my_mnist.data\"\n", - "X_mm = np.memmap(filename, dtype='float32', mode='write', shape=X_train.shape)\n", - "X_mm[:] = X_train" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": false, - "id": "oIMPXDkJDRoB", - "outputId": "96e20418-8ffa-4770-e264-38728600d017" - }, - "source": [ - "minibatch_kmeans = MiniBatchKMeans(n_clusters=10, batch_size=10, random_state=42)\n", - "minibatch_kmeans.fit(X_mm)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "MiniBatchKMeans(batch_size=10, n_clusters=10, random_state=42)" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "0SPpc5SgDRoB" - }, - "source": [ - "데이터가 너무 커서 `memmap`을 사용할 수 없다면 문제는 더 복잡해집니다. 배치를 로드하는 함수를 먼저 만들어 보죠(실전에서는 디스크에서 데이터를 로드합니다):" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "J44lkWPIDRoC" - }, - "source": [ - "def load_next_batch(batch_size):\n", - " return X[np.random.choice(len(X), batch_size, replace=False)]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ZzNe3OjQDRoC" - }, - "source": [ - "한 번에 하나의 배치를 모델에 주입하여 훈련할 수 있습니다. 또한 여러 번 초기화를 수행하고 이너셔가 가장 낮은 모델을 선택합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "XyJEXMyWDRoC" - }, - "source": [ - "np.random.seed(42)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "L0hIyBrdDRoC" - }, - "source": [ - "k = 5\n", - "n_init = 10\n", - "n_iterations = 100\n", - "batch_size = 100\n", - "init_size = 500 # K-Means++ 초기화를 위해 충분한 데이터 전달\n", - "evaluate_on_last_n_iters = 10\n", - "\n", - "best_kmeans = None\n", - "\n", - "for init in range(n_init):\n", - " minibatch_kmeans = MiniBatchKMeans(n_clusters=k, init_size=init_size)\n", - " X_init = load_next_batch(init_size)\n", - " minibatch_kmeans.partial_fit(X_init)\n", - "\n", - " minibatch_kmeans.sum_inertia_ = 0\n", - " for iteration in range(n_iterations):\n", - " X_batch = load_next_batch(batch_size)\n", - " minibatch_kmeans.partial_fit(X_batch)\n", - " if iteration >= n_iterations - evaluate_on_last_n_iters:\n", - " minibatch_kmeans.sum_inertia_ += minibatch_kmeans.inertia_\n", - "\n", - " if (best_kmeans is None or\n", - " minibatch_kmeans.sum_inertia_ < best_kmeans.sum_inertia_):\n", - " best_kmeans = minibatch_kmeans" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "6lVimMfrDRoC", - "outputId": "84fa6592-a52e-4985-b0ba-288c67ce1629" - }, - "source": [ - "best_kmeans.score(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "-211.70999744411446" - ] - }, - "execution_count": 53, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "VBLoVGe5DRoC" - }, - "source": [ - "미니배치 K-평균이 일반 K-평균보다 훨씬 빠릅니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "GE5lbyZ5DRoC", - "outputId": "23107c54-7f79-4d6d-9965-87d9887d2cdc" - }, - "source": [ - "%timeit KMeans(n_clusters=5, random_state=42).fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "73.1 ms ± 2.15 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "zP2-bSZRDRoC", - "outputId": "a907d482-f113-4273-c001-5df1bd6d97a0" - }, - "source": [ - "%timeit MiniBatchKMeans(n_clusters=5, random_state=42).fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "11.9 ms ± 573 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "bHM-N8JYDRoC" - }, - "source": [ - "*훨씬* 빠르군요! 하지만 성능이 낮은 (즉 이너셔가 높은) 경우가 많습니다. _k_ 가 증가할수록 더 그렇습니다. 미니배치 K-평균과 일반 K-평균 사이에 이너셔와 훈련 시간을 그래프로 나타내 보겠습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "wVz7R5QuDRoD" - }, - "source": [ - "from timeit import timeit" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "qFzfesCzDRoD", - "outputId": "e4542bfe-44b4-4e20-f31f-b7f2e879866e" - }, - "source": [ - "times = np.empty((100, 2))\n", - "inertias = np.empty((100, 2))\n", - "for k in range(1, 101):\n", - " kmeans_ = KMeans(n_clusters=k, random_state=42)\n", - " minibatch_kmeans = MiniBatchKMeans(n_clusters=k, random_state=42)\n", - " print(\"\\r{}/{}\".format(k, 100), end=\"\")\n", - " times[k-1, 0] = timeit(\"kmeans_.fit(X)\", number=10, globals=globals())\n", - " times[k-1, 1] = timeit(\"minibatch_kmeans.fit(X)\", number=10, globals=globals())\n", - " inertias[k-1, 0] = kmeans_.inertia_\n", - " inertias[k-1, 1] = minibatch_kmeans.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "100/100" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "aI0_pg99DRoD", - "outputId": "e29be046-6c67-45e3-c89c-fef5e2463fba" - }, - "source": [ - "plt.figure(figsize=(10,4))\n", - "\n", - "plt.subplot(121)\n", - "plt.plot(range(1, 101), inertias[:, 0], \"r--\", label=\"K-Means\")\n", - "plt.plot(range(1, 101), inertias[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", - "plt.xlabel(\"$k$\", fontsize=16)\n", - "plt.title(\"Inertia\", fontsize=14)\n", - "plt.legend(fontsize=14)\n", - "plt.axis([1, 100, 0, 100])\n", - "\n", - "plt.subplot(122)\n", - "plt.plot(range(1, 101), times[:, 0], \"r--\", label=\"K-Means\")\n", - "plt.plot(range(1, 101), times[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", - "plt.xlabel(\"$k$\", fontsize=16)\n", - "plt.title(\"Training time (seconds)\", fontsize=14)\n", - "plt.axis([1, 100, 0, 6])\n", - "\n", - "save_fig(\"minibatch_kmeans_vs_kmeans\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: minibatch_kmeans_vs_kmeans\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ptPO7e7_DRoD" - }, - "source": [ - "### 최적의 클러스터 개수 찾기" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "lmRYFRavDRoD" - }, - "source": [ - "클러스터 개수가 5보다 작거나 크게 지정하면 어떨까요?" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "-qZ-WA-mDRoD", - "outputId": "5d86aaf7-1eb1-4c52-dfde-c68613f8526b" - }, - "source": [ - "kmeans_k3 = KMeans(n_clusters=3, random_state=42)\n", - "kmeans_k8 = KMeans(n_clusters=8, random_state=42)\n", - "\n", - "plot_clusterer_comparison(kmeans_k3, kmeans_k8, X, \"$k=3$\", \"$k=8$\")\n", - "save_fig(\"bad_n_clusters_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: bad_n_clusters_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "D8w5q1Z2DRoD" - }, - "source": [ - "두 모델 모두 좋아 보이지 않는군요. 이너셔는 어떨까요?" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "sudajQ7zDRoD", - "outputId": "2f75359c-6b1b-46b0-cf39-f07dd7d2553d" - }, - "source": [ - "kmeans_k3.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "653.2167190021556" - ] - }, - "execution_count": 60, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "mDEs4_fqDRoE", - "outputId": "9facf4ec-e30b-4e1e-ba73-7b455f3b4320" - }, - "source": [ - "kmeans_k8.inertia_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "119.11983416102889" - ] - }, - "execution_count": 61, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "gyyp7KwoDRoE" - }, - "source": [ - "$k$가 증가할수록 이너셔가 줄어들기 때문에 단순히 이너셔가 작은 $k$를 선택할 수 없군요. 실제 클러스터가 많을수록 샘플은 인접한 센트로이드에 더 가깝습니다. 따라서 이너셔가 더 작습니다. 하지만 $k$에 대한 이너셔를 그래프로 그리고 결과 그래프를 조사해 볼 수 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "8GSTJ3z4DRoE" - }, - "source": [ - "kmeans_per_k = [KMeans(n_clusters=k, random_state=42).fit(X)\n", - " for k in range(1, 10)]\n", - "inertias = [model.inertia_ for model in kmeans_per_k]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "5x4jh4iMDRoE", - "outputId": "690fa52d-752d-41b7-f4e6-bf932258996a" - }, - "source": [ - "plt.figure(figsize=(8, 3.5))\n", - "plt.plot(range(1, 10), inertias, \"bo-\")\n", - "plt.xlabel(\"$k$\", fontsize=14)\n", - "plt.ylabel(\"Inertia\", fontsize=14)\n", - "plt.annotate('Elbow',\n", - " xy=(4, inertias[3]),\n", - " xytext=(0.55, 0.55),\n", - " textcoords='figure fraction',\n", - " fontsize=16,\n", - " arrowprops=dict(facecolor='black', shrink=0.1)\n", - " )\n", - "plt.axis([1, 8.5, 0, 1300])\n", - "save_fig(\"inertia_vs_k_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: inertia_vs_k_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "1y6_U9dtDRoE" - }, - "source": [ - "여기에서 볼 수 있듯이 $k=4$에서 엘보우가 있습니다. 이 값보다 클러스터가 작으면 나쁘다는 뜻입니다. 이보다 더 많으면 크게 도움이 되지 않고 배로 늘려도 그렇습니다. 따라서 $k=4$가 아주 좋은 선택입니다. 물론 이 예제에서는 이 값이 완벽하지 않습니다. 왼쪽 아래 두 클러스터가 하나의 클러스터로 간주되었지만 꽤 좋은 군집 결과입니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "W1XUeRkyDRoE", - "outputId": "2d40a129-36ae-4fe2-cb16-0d5faab1269e" - }, - "source": [ - "plot_decision_boundaries(kmeans_per_k[4-1], X)\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "YjmnRYTmDRoE" - }, - "source": [ - "또 다른 방법은 모든 샘플에 대한 _실루엣 계수_ 의 평균인 _실루엣 점수_ 입니다. 한 샘플의 실루엣 계수는 $(b - a)/\\max(a, b)$입니다. 여기에서 $a$는 같은 클러스터에 있는 다른 샘플까지의 평균 거리입니다(이를 _클러스터 내부 평균 거리_ 라고 합니다). $b$는 가장 가까운 클러스터까지 평균 거리입니다. 즉 가장 가까운 클러스터(샘플 자신의 클러스터를 제외하고 $b$를 최소화하는 클러스터)의 샘플까지 평균 거리입니다. 실루엣 계수는 -1에서 +1 사이 값을 가집니다. +1에 가까우면 샘플이 다른 클러스터로부터 떨어져 자신의 클러스터 안에 잘 있다는 것을 의미합니다.0에 가까우면 클러스터 경계에 가깝다는 의미입니다. -1에 가까우면 샘플이 잘못된 클러스터에 할당되었을지 모릅니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Sqw36SNHDRoE" - }, - "source": [ - "$k$에 대한 실루엣 점수를 그래프로 그려보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "6-xpXM_oDRoE" - }, - "source": [ - "from sklearn.metrics import silhouette_score" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "Nqa5YmXcDRoE", - "outputId": "74a8929f-38f2-4e92-91d3-d54e4bb85ba3" - }, - "source": [ - "silhouette_score(X, kmeans.labels_)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.655517642572828" - ] - }, - "execution_count": 66, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "FTWjipcZDRoF" - }, - "source": [ - "silhouette_scores = [silhouette_score(X, model.labels_)\n", - " for model in kmeans_per_k[1:]]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "FXFYmXUJDRoF", - "outputId": "976c1066-1af3-4adf-84e8-2245f9e74403" - }, - "source": [ - "plt.figure(figsize=(8, 3))\n", - "plt.plot(range(2, 10), silhouette_scores, \"bo-\")\n", - "plt.xlabel(\"$k$\", fontsize=14)\n", - "plt.ylabel(\"Silhouette score\", fontsize=14)\n", - "plt.axis([1.8, 8.5, 0.55, 0.7])\n", - "save_fig(\"silhouette_score_vs_k_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: silhouette_score_vs_k_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "XUGKdG3ZDRoF" - }, - "source": [ - "여기에서 볼 수 있듯이 이 그래프는 이전보다 정보가 더 풍부합니다. 특히 $k=4$가 매우 좋은 선택이지만 $k=5$도 꽤 괜찮은 선택이라는 것을 보여줍니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "1ymawYL9DRoF" - }, - "source": [ - "모든 샘플의 실루엣 계수를 할당된 클러스터와 실루엣 값으로 정렬하여 그리면 훨씬 많은 정보를 얻을 수 있습니다. 이를 _실루엣 다이어그램_ 이라고 합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "NYzoLj6LDRoF", - "outputId": "eebde800-3bdb-4e1e-9ec6-ffc44cc3dba8" - }, - "source": [ - "from sklearn.metrics import silhouette_samples\n", - "from matplotlib.ticker import FixedLocator, FixedFormatter\n", - "\n", - "plt.figure(figsize=(11, 9))\n", - "\n", - "for k in (3, 4, 5, 6):\n", - " plt.subplot(2, 2, k - 2)\n", - " \n", - " y_pred = kmeans_per_k[k - 1].labels_\n", - " silhouette_coefficients = silhouette_samples(X, y_pred)\n", - "\n", - " padding = len(X) // 30\n", - " pos = padding\n", - " ticks = []\n", - " for i in range(k):\n", - " coeffs = silhouette_coefficients[y_pred == i]\n", - " coeffs.sort()\n", - "\n", - " color = mpl.cm.Spectral(i / k)\n", - " plt.fill_betweenx(np.arange(pos, pos + len(coeffs)), 0, coeffs,\n", - " facecolor=color, edgecolor=color, alpha=0.7)\n", - " ticks.append(pos + len(coeffs) // 2)\n", - " pos += len(coeffs) + padding\n", - "\n", - " plt.gca().yaxis.set_major_locator(FixedLocator(ticks))\n", - " plt.gca().yaxis.set_major_formatter(FixedFormatter(range(k)))\n", - " if k in (3, 5):\n", - " plt.ylabel(\"Cluster\")\n", - " \n", - " if k in (5, 6):\n", - " plt.gca().set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n", - " plt.xlabel(\"Silhouette Coefficient\")\n", - " else:\n", - " plt.tick_params(labelbottom=False)\n", - "\n", - " plt.axvline(x=silhouette_scores[k - 2], color=\"red\", linestyle=\"--\")\n", - " plt.title(\"$k={}$\".format(k), fontsize=16)\n", - "\n", - "save_fig(\"silhouette_analysis_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: silhouette_analysis_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "-S34TEliDRoF" - }, - "source": [ - "여기에서 볼 수 있듯이 $k=5$가 가장 좋은 선택입니다. 모든 클러스터의 크기가 거의 동일하고 평균 실루엣 점수를 나타내는 파선을 모두 넘었습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "dPNi68Z5DRoF" - }, - "source": [ - "### K-평균의 한계" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "aMgN6WCTDRoF" - }, - "source": [ - "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n", - "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n", - "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n", - "X2 = X2 + [6, -8]\n", - "X = np.r_[X1, X2]\n", - "y = np.r_[y1, y2]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "gmW_YZwgDRoF", - "outputId": "0c2e3cc2-d2d4-42b6-af17-3cf61fb6380d" - }, - "source": [ - "plot_clusters(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "7bomC4NpDRoF", - "outputId": "3ada4c37-41ee-4544-b46b-5a2a591a4419" - }, - "source": [ - "kmeans_good = KMeans(n_clusters=3, init=np.array([[-1.5, 2.5], [0.5, 0], [4, 0]]), n_init=1, random_state=42)\n", - "kmeans_bad = KMeans(n_clusters=3, random_state=42)\n", - "kmeans_good.fit(X)\n", - "kmeans_bad.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "KMeans(n_clusters=3, random_state=42)" - ] - }, - "execution_count": 72, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": false, - "id": "C20Eu9e2DRoG", - "outputId": "e634571f-526f-42f5-ee78-6f49ddb06373" - }, - "source": [ - "plt.figure(figsize=(10, 3.2))\n", - "\n", - "plt.subplot(121)\n", - "plot_decision_boundaries(kmeans_good, X)\n", - "plt.title(\"Inertia = {:.1f}\".format(kmeans_good.inertia_), fontsize=14)\n", - "\n", - "plt.subplot(122)\n", - "plot_decision_boundaries(kmeans_bad, X, show_ylabels=False)\n", - "plt.title(\"Inertia = {:.1f}\".format(kmeans_bad.inertia_), fontsize=14)\n", - "\n", - "save_fig(\"bad_kmeans_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: bad_kmeans_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "OQ1d3ijdDRoG" - }, - "source": [ - "### 군집을 사용한 이미지 분할" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "841Y1rGpDRoG", - "outputId": "0454b8dc-a64b-408e-c388-6eaa94c77b51" - }, - "source": [ - "# 무당벌레 이미지를 다운로드합니다\n", - "images_path = os.path.join(PROJECT_ROOT_DIR, \"images\", \"unsupervised_learning\")\n", - "os.makedirs(images_path, exist_ok=True)\n", - "DOWNLOAD_ROOT = \"https://raw.githubusercontent.com/rickiepark/handson-ml2/master/\"\n", - "filename = \"ladybug.png\"\n", - "print(\"Downloading\", filename)\n", - "url = DOWNLOAD_ROOT + \"images/unsupervised_learning/\" + filename\n", - "urllib.request.urlretrieve(url, os.path.join(images_path, filename))" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Downloading ladybug.png\n" - ] - }, - { - "data": { - "text/plain": [ - "('./images/unsupervised_learning/ladybug.png',\n", - " )" - ] - }, - "execution_count": 74, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "hiD7xsPKDRoG", - "outputId": "8ff739de-2712-4b54-b875-f9b676005ce8" - }, - "source": [ - "from matplotlib.image import imread\n", - "image = imread(os.path.join(images_path, filename))\n", - "image.shape" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "(533, 800, 3)" - ] - }, - "execution_count": 75, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "AwMvu9icDRoG" - }, - "source": [ - "X = image.reshape(-1, 3)\n", - "kmeans = KMeans(n_clusters=8, random_state=42).fit(X)\n", - "segmented_img = kmeans.cluster_centers_[kmeans.labels_]\n", - "segmented_img = segmented_img.reshape(image.shape)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "sfVGnoVKDRoG" - }, - "source": [ - "segmented_imgs = []\n", - "n_colors = (10, 8, 6, 4, 2)\n", - "for n_clusters in n_colors:\n", - " kmeans = KMeans(n_clusters=n_clusters, random_state=42).fit(X)\n", - " segmented_img = kmeans.cluster_centers_[kmeans.labels_]\n", - " segmented_imgs.append(segmented_img.reshape(image.shape))" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "puGXvOZODRoG", - "outputId": "522dc834-17bd-4b73-a603-613f96b983b8" - }, - "source": [ - "plt.figure(figsize=(10,5))\n", - "plt.subplots_adjust(wspace=0.05, hspace=0.1)\n", - "\n", - "plt.subplot(231)\n", - "plt.imshow(image)\n", - "plt.title(\"Original image\")\n", - "plt.axis('off')\n", - "\n", - "for idx, n_clusters in enumerate(n_colors):\n", - " plt.subplot(232 + idx)\n", - " plt.imshow(segmented_imgs[idx])\n", - " plt.title(\"{} colors\".format(n_clusters))\n", - " plt.axis('off')\n", - "\n", - "save_fig('image_segmentation_diagram', tight_layout=False)\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: image_segmentation_diagram\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "cghm3ZFrDRoG" - }, - "source": [ - "### 군집을 사용한 전처리" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "OPDV0t67DRoH" - }, - "source": [ - "MNIST와 유사하게 숫자 0에서 9까지 8x8 흑백 이미지 1,797개로 이루어진 _숫자 데이터셋_ 을 다루어 보겠습니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "e8xEwx5TDRoH" - }, - "source": [ - "from sklearn.datasets import load_digits" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "AfqcNFCoDRoH" - }, - "source": [ - "X_digits, y_digits = load_digits(return_X_y=True)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "osSGY8GIDRoH" - }, - "source": [ - "훈련 세트와 테스트 세트로 나눕니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "99-CnolKDRoH" - }, - "source": [ - "from sklearn.model_selection import train_test_split" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "2gtFlhdfDRoH" - }, - "source": [ - "X_train, X_test, y_train, y_test = train_test_split(X_digits, y_digits, random_state=42)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "SkjcRRBjDRoH" - }, - "source": [ - "로지스틱 회귀 모델을 훈련하고 테스트 세트에서 평가합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "UzbvgZj4DRoH" - }, - "source": [ - "from sklearn.linear_model import LogisticRegression" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "xKw50hLwDRoH", - "outputId": "58ff9b43-74fb-48f4-91f2-2853bad14176" - }, - "source": [ - "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", - "log_reg.fit(X_train, y_train)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" - ] - }, - "execution_count": 84, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "b3cCO_xNDRoH", - "outputId": "260de0ff-b2c4-4822-f8ad-d11f20588bcb" - }, - "source": [ - "log_reg_score = log_reg.score(X_test, y_test)\n", - "log_reg_score" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.9688888888888889" - ] - }, - "execution_count": 85, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Bg533_J-DRoI" - }, - "source": [ - "좋습니다. 기본 모델의 정확도는 96.89%입니다. 이제 K-평균을 전처리 단계로 사용해 더 향상할 수 있는지 알아 보죠. 훈련 세트를 50개의 클러스터로 만들고 이미지를 이 클러스터까지 거리로 바꾼 다음 로지스틱 회귀 모델을 적용하는 파이프라인을 만듭니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "VqkJYSK5DRoI" - }, - "source": [ - "from sklearn.pipeline import Pipeline" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "T8U0_5B2DRoI", - "outputId": "e0398633-f4df-4a3e-d703-7508d18afb37" - }, - "source": [ - "pipeline = Pipeline([\n", - " (\"kmeans\", KMeans(n_clusters=50, random_state=42)),\n", - " (\"log_reg\", LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)),\n", - "])\n", - "pipeline.fit(X_train, y_train)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "Pipeline(steps=[('kmeans', KMeans(n_clusters=50, random_state=42)),\n", - " ('log_reg',\n", - " LogisticRegression(max_iter=5000, multi_class='ovr',\n", - " random_state=42))])" - ] - }, - "execution_count": 87, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "WF6wWEVLDRoI", - "outputId": "d6f95346-9a51-4c53-a540-373c7021d9e8" - }, - "source": [ - "pipeline_score = pipeline.score(X_test, y_test)\n", - "pipeline_score" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.9777777777777777" - ] - }, - "execution_count": 88, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "g8Qi0WKSDRoI" - }, - "source": [ - "얼마나 오차가 감소했나요?" - ] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": true, - "id": "n8DR_2GSDRoI", - "outputId": "bd1ae2c2-b40c-4b2c-d23e-33505a469c7b" - }, - "source": [ - "1 - (1 - pipeline_score) / (1 - log_reg_score)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.28571428571428414" - ] - }, - "execution_count": 89, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "b_efAhZuDRoI" - }, - "source": [ - "어떤가요? 오차율을 35%나 줄였습니다! 하지만 클러스터 개수 $k$를 임의로 결정했습니다. 이 보다 더 나은 방법이 있겠죠. K-평균을 분류 파이프라인에서 전처리 단계로 사용했기 때문에 좋은 $k$ 값을 찾는 것은 이전보다 더 쉽습니다. 실루엣 분석을 수행하거나 이너셔를 최소화할 필요가 없습니다. 가장 좋은 $k$ 값은 가장 좋은 분류 성능을 내는 것입니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "yCb6cDKVDRoJ" - }, - "source": [ - "from sklearn.model_selection import GridSearchCV" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "wXGc5VWVDRoJ" - }, - "source": [ - "**경고**: 사용하는 하드웨어에 따라 다음 셀을 실행하는데 20분 또는 그 이상 걸릴 수 있습니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Mra8yx-7DRoJ", - "outputId": "7357a07b-0262-4de3-bba5-d98fcec6c3a9" - }, - "source": [ - "param_grid = dict(kmeans__n_clusters=range(2, 100))\n", - "grid_clf = GridSearchCV(pipeline, param_grid, cv=3, verbose=2)\n", - "grid_clf.fit(X_train, y_train)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fitting 3 folds for each of 98 candidates, totalling 294 fits\n", - "[CV] END ...............................kmeans__n_clusters=2; total time= 0.6s\n", - "[CV] END ...............................kmeans__n_clusters=2; total time= 0.3s\n", - "[CV] END ...............................kmeans__n_clusters=2; total time= 0.7s\n", - "[CV] END ...............................kmeans__n_clusters=3; total time= 0.5s\n", - "[CV] END ...............................kmeans__n_clusters=3; total time= 0.5s\n", - "[CV] END ...............................kmeans__n_clusters=3; total time= 0.4s\n", - "[CV] END ...............................kmeans__n_clusters=4; total time= 0.5s\n", - "[CV] END ...............................kmeans__n_clusters=4; total time= 0.8s\n", - "[CV] END ...............................kmeans__n_clusters=4; total time= 0.5s\n", - "[CV] END ...............................kmeans__n_clusters=5; total time= 0.6s\n", - "[CV] END ...............................kmeans__n_clusters=5; total time= 0.4s\n", - "[CV] END ...............................kmeans__n_clusters=5; total time= 0.4s\n", - "[CV] END ...............................kmeans__n_clusters=6; total time= 0.4s\n", - "[CV] END ...............................kmeans__n_clusters=6; total time= 0.6s\n", - "[CV] END ...............................kmeans__n_clusters=6; total time= 0.8s\n", - "[CV] END ...............................kmeans__n_clusters=7; total time= 0.5s\n", - "[CV] END ...............................kmeans__n_clusters=7; total time= 1.1s\n", - "[CV] END ...............................kmeans__n_clusters=7; total time= 0.5s\n", - "[CV] END ...............................kmeans__n_clusters=8; total time= 0.6s\n", - "[CV] END ...............................kmeans__n_clusters=8; total time= 0.7s\n", - "[CV] END ...............................kmeans__n_clusters=8; total time= 0.7s\n", - "[CV] END ...............................kmeans__n_clusters=9; total time= 0.9s\n", - "[CV] END ...............................kmeans__n_clusters=9; total time= 1.1s\n", - "[CV] END ...............................kmeans__n_clusters=9; total time= 0.8s\n", - "[CV] END ..............................kmeans__n_clusters=10; total time= 0.8s\n", - "[CV] END ..............................kmeans__n_clusters=10; total time= 1.1s\n", - "[CV] END ..............................kmeans__n_clusters=10; total time= 1.0s\n", - "[CV] END ..............................kmeans__n_clusters=11; total time= 1.4s\n", - "[CV] END ..............................kmeans__n_clusters=11; total time= 1.4s\n", - "[CV] END ..............................kmeans__n_clusters=11; total time= 1.2s\n", - "[CV] END ..............................kmeans__n_clusters=12; total time= 1.3s\n", - "[CV] END ..............................kmeans__n_clusters=12; total time= 1.4s\n", - "[CV] END ..............................kmeans__n_clusters=12; total time= 1.6s\n", - "[CV] END ..............................kmeans__n_clusters=13; total time= 1.7s\n", - "[CV] END ..............................kmeans__n_clusters=13; total time= 1.7s\n", - "[CV] END ..............................kmeans__n_clusters=13; total time= 1.6s\n", - "[CV] END ..............................kmeans__n_clusters=14; total time= 1.7s\n", - "[CV] END ..............................kmeans__n_clusters=14; total time= 2.1s\n", - "[CV] END ..............................kmeans__n_clusters=14; total time= 2.2s\n", - "[CV] END ..............................kmeans__n_clusters=15; total time= 2.4s\n", - "[CV] END ..............................kmeans__n_clusters=15; total time= 2.3s\n", - "[CV] END ..............................kmeans__n_clusters=15; total time= 2.0s\n", - "[CV] END ..............................kmeans__n_clusters=16; total time= 2.5s\n", - "[CV] END ..............................kmeans__n_clusters=16; total time= 2.2s\n", - "[CV] END ..............................kmeans__n_clusters=16; total time= 2.3s\n", - "[CV] END ..............................kmeans__n_clusters=17; total time= 2.6s\n", - "[CV] END ..............................kmeans__n_clusters=17; total time= 2.5s\n", - "[CV] END ..............................kmeans__n_clusters=17; total time= 2.4s\n", - "[CV] END ..............................kmeans__n_clusters=18; total time= 2.9s\n", - "[CV] END ..............................kmeans__n_clusters=18; total time= 3.0s\n", - "[CV] END ..............................kmeans__n_clusters=18; total time= 2.6s\n", - "[CV] END ..............................kmeans__n_clusters=19; total time= 2.7s\n", - "[CV] END ..............................kmeans__n_clusters=19; total time= 3.0s\n", - "[CV] END ..............................kmeans__n_clusters=19; total time= 3.0s\n", - "[CV] END ..............................kmeans__n_clusters=20; total time= 3.6s\n", - "[CV] END ..............................kmeans__n_clusters=20; total time= 3.4s\n", - "[CV] END ..............................kmeans__n_clusters=20; total time= 3.0s\n", - "[CV] END ..............................kmeans__n_clusters=21; total time= 3.5s\n", - "[CV] END ..............................kmeans__n_clusters=21; total time= 3.3s\n", - "[CV] END ..............................kmeans__n_clusters=21; total time= 3.4s\n", - "[CV] END ..............................kmeans__n_clusters=22; total time= 3.5s\n", - "[CV] END ..............................kmeans__n_clusters=22; total time= 3.3s\n", - "[CV] END ..............................kmeans__n_clusters=22; total time= 3.7s\n", - "[CV] END ..............................kmeans__n_clusters=23; total time= 3.6s\n", - "[CV] END ..............................kmeans__n_clusters=23; total time= 4.3s\n", - "[CV] END ..............................kmeans__n_clusters=23; total time= 3.9s\n", - "[CV] END ..............................kmeans__n_clusters=24; total time= 4.0s\n", - "[CV] END ..............................kmeans__n_clusters=24; total time= 4.1s\n", - "[CV] END ..............................kmeans__n_clusters=24; total time= 4.2s\n", - "[CV] END ..............................kmeans__n_clusters=25; total time= 4.0s\n", - "[CV] END ..............................kmeans__n_clusters=25; total time= 4.3s\n", - "[CV] END ..............................kmeans__n_clusters=25; total time= 4.6s\n", - "[CV] END ..............................kmeans__n_clusters=26; total time= 4.0s\n", - "[CV] END ..............................kmeans__n_clusters=26; total time= 3.7s\n", - "[CV] END ..............................kmeans__n_clusters=26; total time= 4.0s\n", - "[CV] END ..............................kmeans__n_clusters=27; total time= 4.2s\n", - "[CV] END ..............................kmeans__n_clusters=27; total time= 4.4s\n", - "[CV] END ..............................kmeans__n_clusters=27; total time= 3.4s\n", - "[CV] END ..............................kmeans__n_clusters=28; total time= 4.9s\n", - "[CV] END ..............................kmeans__n_clusters=28; total time= 4.8s\n", - "[CV] END ..............................kmeans__n_clusters=28; total time= 4.3s\n", - "[CV] END ..............................kmeans__n_clusters=29; total time= 4.5s\n", - "[CV] END ..............................kmeans__n_clusters=29; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=29; total time= 4.6s\n", - "[CV] END ..............................kmeans__n_clusters=30; total time= 4.5s\n", - "[CV] END ..............................kmeans__n_clusters=30; total time= 4.9s\n", - "[CV] END ..............................kmeans__n_clusters=30; total time= 4.4s\n", - "[CV] END ..............................kmeans__n_clusters=31; total time= 4.9s\n", - "[CV] END ..............................kmeans__n_clusters=31; total time= 4.6s\n", - "[CV] END ..............................kmeans__n_clusters=31; total time= 4.4s\n", - "[CV] END ..............................kmeans__n_clusters=32; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=32; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=32; total time= 4.8s\n", - "[CV] END ..............................kmeans__n_clusters=33; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=33; total time= 5.3s\n", - "[CV] END ..............................kmeans__n_clusters=33; total time= 5.0s\n", - "[CV] END ..............................kmeans__n_clusters=34; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=34; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=34; total time= 4.8s\n", - "[CV] END ..............................kmeans__n_clusters=35; total time= 4.4s\n", - "[CV] END ..............................kmeans__n_clusters=35; total time= 5.9s\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[CV] END ..............................kmeans__n_clusters=35; total time= 5.0s\n", - "[CV] END ..............................kmeans__n_clusters=36; total time= 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..............................kmeans__n_clusters=40; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=40; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=40; total time= 4.9s\n", - "[CV] END ..............................kmeans__n_clusters=41; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=41; total time= 5.3s\n", - "[CV] END ..............................kmeans__n_clusters=41; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=42; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=42; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=42; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=43; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=43; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=43; 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..............................kmeans__n_clusters=47; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=48; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=48; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=48; total time= 5.8s\n", - "[CV] END ..............................kmeans__n_clusters=49; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=49; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=49; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=50; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=50; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=50; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=51; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=51; total time= 5.8s\n", - "[CV] END ..............................kmeans__n_clusters=51; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=52; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=52; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=52; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=53; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=53; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=53; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=54; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=54; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=54; total time= 4.7s\n", - "[CV] END ..............................kmeans__n_clusters=55; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=55; total time= 5.3s\n", - "[CV] END ..............................kmeans__n_clusters=55; total time= 5.8s\n", - "[CV] END ..............................kmeans__n_clusters=56; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=56; total time= 5.1s\n", - "[CV] END ..............................kmeans__n_clusters=56; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=57; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=57; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=57; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=58; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=58; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=58; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=59; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=59; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=59; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=60; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=60; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=60; total time= 5.1s\n", - "[CV] END ..............................kmeans__n_clusters=61; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=61; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=61; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=62; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=62; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=62; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=63; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=63; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=63; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=64; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=64; total time= 6.4s\n", - "[CV] END ..............................kmeans__n_clusters=64; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=65; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=65; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=65; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=66; total time= 6.4s\n", - "[CV] END ..............................kmeans__n_clusters=66; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=66; 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..............................kmeans__n_clusters=70; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=70; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=71; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=71; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=71; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=72; total time= 5.8s\n", - "[CV] END ..............................kmeans__n_clusters=72; total time= 5.8s\n", - "[CV] END ..............................kmeans__n_clusters=72; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=73; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=73; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=73; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=74; 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..............................kmeans__n_clusters=78; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=78; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=78; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=79; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=79; total time= 6.4s\n", - "[CV] END ..............................kmeans__n_clusters=79; total time= 5.2s\n", - "[CV] END ..............................kmeans__n_clusters=80; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=80; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=80; total time= 6.5s\n", - "[CV] END ..............................kmeans__n_clusters=81; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=81; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=81; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=82; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=82; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=82; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=83; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=83; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=83; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=84; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=84; total time= 6.5s\n", - "[CV] END ..............................kmeans__n_clusters=84; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=85; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=85; total time= 6.6s\n", - "[CV] END ..............................kmeans__n_clusters=85; total time= 5.4s\n", - "[CV] END ..............................kmeans__n_clusters=86; total time= 6.8s\n", - "[CV] END ..............................kmeans__n_clusters=86; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=86; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=87; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=87; total time= 6.8s\n", - "[CV] END ..............................kmeans__n_clusters=87; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=88; total time= 5.8s\n", - "[CV] END ..............................kmeans__n_clusters=88; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=88; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=89; total time= 6.6s\n", - "[CV] END ..............................kmeans__n_clusters=89; total time= 6.5s\n", - "[CV] END ..............................kmeans__n_clusters=89; total time= 5.5s\n", - "[CV] END ..............................kmeans__n_clusters=90; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=90; total time= 6.7s\n", - "[CV] END ..............................kmeans__n_clusters=90; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=91; total time= 5.9s\n", - "[CV] END ..............................kmeans__n_clusters=91; total time= 6.4s\n", - "[CV] END ..............................kmeans__n_clusters=91; total time= 7.1s\n", - "[CV] END ..............................kmeans__n_clusters=92; total time= 5.6s\n", - "[CV] END ..............................kmeans__n_clusters=92; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=92; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=93; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=93; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=93; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=94; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=94; total time= 7.0s\n", - "[CV] END ..............................kmeans__n_clusters=94; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=95; total time= 5.7s\n", - "[CV] END ..............................kmeans__n_clusters=95; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=95; total time= 6.4s\n", - "[CV] END ..............................kmeans__n_clusters=96; total time= 6.0s\n", - "[CV] END ..............................kmeans__n_clusters=96; total time= 7.7s\n", - "[CV] END ..............................kmeans__n_clusters=96; total time= 6.1s\n", - "[CV] END ..............................kmeans__n_clusters=97; total time= 6.5s\n", - "[CV] END ..............................kmeans__n_clusters=97; total time= 6.8s\n", - "[CV] END ..............................kmeans__n_clusters=97; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=98; total time= 6.7s\n", - "[CV] END ..............................kmeans__n_clusters=98; total time= 6.3s\n", - "[CV] END ..............................kmeans__n_clusters=98; total time= 6.2s\n", - "[CV] END ..............................kmeans__n_clusters=99; total time= 6.9s\n", - "[CV] END ..............................kmeans__n_clusters=99; total time= 7.0s\n", - "[CV] END ..............................kmeans__n_clusters=99; total time= 6.6s\n" - ] - }, - { - "data": { - "text/plain": [ - "GridSearchCV(cv=3,\n", - " estimator=Pipeline(steps=[('kmeans',\n", - " KMeans(n_clusters=50, random_state=42)),\n", - " ('log_reg',\n", - " LogisticRegression(max_iter=5000,\n", - " multi_class='ovr',\n", - " random_state=42))]),\n", - " param_grid={'kmeans__n_clusters': range(2, 100)}, verbose=2)" - ] - }, - "execution_count": 91, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "SdUN_S5WDRoJ" - }, - "source": [ - "최고의 클러스터 개수를 확인해 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "9UQHQ3ZODRoJ", - "outputId": "9a57b751-c085-49b6-e76f-bfde2c527f91" - }, - "source": [ - "grid_clf.best_params_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "{'kmeans__n_clusters': 95}" - ] - }, - "execution_count": 92, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": false, - "id": "bitUjGYtDRoJ", - "outputId": "596f6c09-c88c-44e4-fa28-3c2a952dd006" - }, - "source": [ - "grid_clf.score(X_test, y_test)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.9777777777777777" - ] - }, - "execution_count": 93, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "NvpjoZDXDRoJ" - }, - "source": [ - "### 군집을 사용한 준지도 학습" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Q3lj6pOmDRoJ" - }, - "source": [ - "군집의 또 다른 사용처는 레이블이 없는 샘플이 많고 레이블이 있는 샘플이 적을 때 사용하는 준지도 학습입니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "73h2VNgkDRoJ" - }, - "source": [ - "레이블을 가진 샘플이 50개만 있을 때 로지스틱 회귀 모델의 성능을 확인해 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "8auX2h11DRoK" - }, - "source": [ - "n_labeled = 50" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "Qd8dBzexDRoK", - "outputId": "37e972b8-0f22-4ad8-836c-62ad0dc3c6ef" - }, - "source": [ - "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", random_state=42)\n", - "log_reg.fit(X_train[:n_labeled], y_train[:n_labeled])\n", - "log_reg.score(X_test, y_test)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.8333333333333334" - ] - }, - "execution_count": 95, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "TdUCcWd7DRoK" - }, - "source": [ - "당연히 이전보다 훨씬 낮네요. 어떻게 더 향상할 수 있는지 알아 보겠습니다. 먼저 훈련 세트를 클러스터 50개로 군집합니다. 그다음 각 클러스터에서 센트로이드에 가장 가까운 이미지를 찾습니다. 이 이미지를 대표 이미지라고 부르겠습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Ae_Mrc62DRoK" - }, - "source": [ - "k = 50" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "UZkoHL_BDRoK" - }, - "source": [ - "kmeans = KMeans(n_clusters=k, random_state=42)\n", - "X_digits_dist = kmeans.fit_transform(X_train)\n", - "representative_digit_idx = np.argmin(X_digits_dist, axis=0)\n", - "X_representative_digits = X_train[representative_digit_idx]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "1NokWddgDRoK" - }, - "source": [ - "대표 이미지를 출력하고 수동으로 레이블을 매겨 보겠습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "S72VQTXSDRoK", - "outputId": "451fab90-5eea-4708-eb22-3de7772311d9" - }, - "source": [ - "plt.figure(figsize=(8, 2))\n", - "for index, X_representative_digit in enumerate(X_representative_digits):\n", - " plt.subplot(k // 10, 10, index + 1)\n", - " plt.imshow(X_representative_digit.reshape(8, 8), cmap=\"binary\", interpolation=\"bilinear\")\n", - " plt.axis('off')\n", - "\n", - "save_fig(\"representative_images_diagram\", tight_layout=False)\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: representative_images_diagram\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "rYuOS06ADRoK", - "outputId": "9421600e-9943-48d5-ede6-59620f659368" - }, - "source": [ - "y_train[representative_digit_idx]" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([4, 8, 0, 6, 8, 3, 7, 7, 9, 2, 5, 5, 8, 5, 2, 1, 2, 9, 6, 1, 1, 6,\n", - " 9, 0, 8, 3, 0, 7, 4, 1, 6, 5, 2, 4, 1, 8, 6, 3, 9, 2, 4, 2, 9, 4,\n", - " 7, 6, 2, 3, 1, 1])" - ] - }, - "execution_count": 99, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "-aRkRAZQDRoK" - }, - "source": [ - "y_representative_digits = np.array([\n", - " 0, 1, 3, 2, 7, 6, 4, 6, 9, 5,\n", - " 1, 2, 9, 5, 2, 7, 8, 1, 8, 6,\n", - " 3, 1, 5, 4, 5, 4, 0, 3, 2, 6,\n", - " 1, 7, 7, 9, 1, 8, 6, 5, 4, 8,\n", - " 5, 3, 3, 6, 7, 9, 7, 8, 4, 9])" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "mwljDbMdDRoK" - }, - "source": [ - "이 데이터셋은 레이블이 있는 샘플이 50개뿐이지만 완전히 랜덤한 샘플이 아니라 각 샘플은 클러스터의 대표 이미지입니다. 성능이 더 나은지 확인해 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "2V8bC6dtDRoL", - "outputId": "bedbe927-6830-471d-8a73-40a38f1ac24b" - }, - "source": [ - "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", - "log_reg.fit(X_representative_digits, y_representative_digits)\n", - "log_reg.score(X_test, y_test)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.09555555555555556" - ] - }, - "execution_count": 101, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "_g9gbgERDRoL" - }, - "source": [ - "와우! 83.3%에서 91.3%로 확 올랐네요. 여전히 50개의 샘플로만 모델을 훈련했습니다. 샘플에 레이블을 다는 것은 비용이 많이 들고 어려운 작업입니다. 특히 전문가가 수동으로 작업할 때 그렇습니다. 이 때 랜덤한 샘플보다는 대표 샘플에 레이블을 다는 것이 좋은 생각입니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "n2XHVew_DRoL" - }, - "source": [ - "하지만 더 향상시킬 수 있습니다. 이 레이블을 같은 클러스터에 있는 다른 모든 샘플에 전파하면 어떨까요?" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "f3R5DARKDRoL" - }, - "source": [ - "y_train_propagated = np.empty(len(X_train), dtype=np.int32)\n", - "for i in range(k):\n", - " y_train_propagated[kmeans.labels_==i] = y_representative_digits[i]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "CGrOu3ezDRoL", - "outputId": "c4503470-0160-46db-e357-2f5c2d07faa9" - }, - "source": [ - "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", - "log_reg.fit(X_train, y_train_propagated)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" - ] - }, - "execution_count": 103, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "aTyOap7ODRoL", - "outputId": "d2dfcea7-db1e-46d9-b271-393f1e68e553" - }, - "source": [ - "log_reg.score(X_test, y_test)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.15333333333333332" - ] - }, - "execution_count": 104, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "igwOkk_9DRoL" - }, - "source": [ - "아주 조금 정확도를 높였습니다. 없는 것보다는 낫지만 센트로이드에 가까운 샘플에만 레이블을 전파하는 것이 나을지 모릅니다. 왜냐하면 전체 클러스터에 전파하면 일부 이상치를 포함하기 때문입니다. 레이블을 센트로이드에 가까운 75번째 백분위수까지만 전파해보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "RQbmKjKRDRoL" - }, - "source": [ - "percentile_closest = 75\n", - "\n", - "X_cluster_dist = X_digits_dist[np.arange(len(X_train)), kmeans.labels_]\n", - "for i in range(k):\n", - " in_cluster = (kmeans.labels_ == i)\n", - " cluster_dist = X_cluster_dist[in_cluster]\n", - " cutoff_distance = np.percentile(cluster_dist, percentile_closest)\n", - " above_cutoff = (X_cluster_dist > cutoff_distance)\n", - " X_cluster_dist[in_cluster & above_cutoff] = -1" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "m5f5QHC8DRoL" - }, - "source": [ - "partially_propagated = (X_cluster_dist != -1)\n", - "X_train_partially_propagated = X_train[partially_propagated]\n", - "y_train_partially_propagated = y_train_propagated[partially_propagated]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "vTrW_uZpDRoM", - "outputId": "571e9bad-a3bb-4a24-d6f4-1b42b0ff4a71" - }, - "source": [ - "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", - "log_reg.fit(X_train_partially_propagated, y_train_partially_propagated)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" - ] - }, - "execution_count": 107, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "5kdGrnnODRoM", - "outputId": "1973907e-3683-45c4-8dd9-21f01bc54676" - }, - "source": [ - "log_reg.score(X_test, y_test)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.15777777777777777" - ] - }, - "execution_count": 108, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "W1Pc0p0lDRoM" - }, - "source": [ - "조금 더 낫네요. 레이블된 샘플 50개(클래스당 평균 5개 샘플!)만 가지고 92.7% 성능을 달성했습니다. 레이블된 전체 숫자 데이터셋에서 훈련한 로지스틱 회귀의 성능(96.9%)과 매우 비슷합니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "8equ0b6YDRoM" - }, - "source": [ - "이는 전파된 레이블이 실제로 매우 좋기 때문입니다. 이 정확도는 96%에 가깝습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "970Xsy47DRoM", - "outputId": "fe25ae73-8847-48b9-bd71-ef813e162928" - }, - "source": [ - "np.mean(y_train_partially_propagated == y_train[partially_propagated])" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.19541375872382852" - ] - }, - "execution_count": 109, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "aOAeuL-nDRoM" - }, - "source": [ - "*능동 학습*을 여러 번 반복할 수 있습니다:\n", - "1. 분류기의 확신이 부족한 샘플에 수동으로 레이블을 부여합니다. 가능하면 다른 클러스터에서 샘플을 선택합니다.\n", - "2. 추가된 레이블을 사용해 새로운 모델을 훈련합니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "8aH83lIbDRoM" - }, - "source": [ - "## DBSCAN" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "0k6sAJXxDRoM" - }, - "source": [ - "from sklearn.datasets import make_moons" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "SRht0NLLDRoN" - }, - "source": [ - "X, y = make_moons(n_samples=1000, noise=0.05, random_state=42)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "s4S955nPDRoN" - }, - "source": [ - "from sklearn.cluster import DBSCAN" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "J6cJAhw1DRoN", - "outputId": "6c7bf999-795c-4b1a-874f-61724bf05a0c" - }, - "source": [ - "dbscan = DBSCAN(eps=0.05, min_samples=5)\n", - "dbscan.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "DBSCAN(eps=0.05)" - ] - }, - "execution_count": 113, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "3v717Tc7DRoN", - "outputId": "381637ab-3a97-47bc-ccd5-1f3af6f2c9b1" - }, - "source": [ - "dbscan.labels_[:10]" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 0, 2, -1, -1, 1, 0, 0, 0, 2, 5])" - ] - }, - "execution_count": 114, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "rhatMyCSDRoN", - "outputId": "25750a8b-24db-41f8-9da5-2d3801dba519" - }, - "source": [ - "len(dbscan.core_sample_indices_)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "808" - ] - }, - "execution_count": 115, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "hXJ_wwHvDRoN", - "outputId": "4861e9af-903e-4dc8-f024-1cd31fd50ced" - }, - "source": [ - "dbscan.core_sample_indices_[:10]" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 0, 4, 5, 6, 7, 8, 10, 11, 12, 13])" - ] - }, - "execution_count": 116, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "D5cJGTCvDRoN", - "outputId": "ffa1e275-be38-4584-8b07-cf1f98ad703a" - }, - "source": [ - "dbscan.components_[:3]" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[-0.02137124, 0.40618608],\n", - " [-0.84192557, 0.53058695],\n", - " [ 0.58930337, -0.32137599]])" - ] - }, - "execution_count": 117, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "TEq332hQDRoN", - "outputId": "1270c951-cf3e-40e1-ef3f-5410a677ab5d" - }, - "source": [ - "np.unique(dbscan.labels_)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-1, 0, 1, 2, 3, 4, 5, 6])" - ] - }, - "execution_count": 118, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "kBVqOVYCDRoN", - "outputId": "bc7d1bf4-0881-4f81-b267-1e7cbce52084" - }, - "source": [ - "dbscan2 = DBSCAN(eps=0.2)\n", - "dbscan2.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "DBSCAN(eps=0.2)" - ] - }, - "execution_count": 119, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "RLOprVMpDRoO" - }, - "source": [ - "def plot_dbscan(dbscan, X, size, show_xlabels=True, show_ylabels=True):\n", - " core_mask = np.zeros_like(dbscan.labels_, dtype=bool)\n", - " core_mask[dbscan.core_sample_indices_] = True\n", - " anomalies_mask = dbscan.labels_ == -1\n", - " non_core_mask = ~(core_mask | anomalies_mask)\n", - "\n", - " cores = dbscan.components_\n", - " anomalies = X[anomalies_mask]\n", - " non_cores = X[non_core_mask]\n", - " \n", - " plt.scatter(cores[:, 0], cores[:, 1],\n", - " c=dbscan.labels_[core_mask], marker='o', s=size, cmap=\"Paired\")\n", - " plt.scatter(cores[:, 0], cores[:, 1], marker='*', s=20, c=dbscan.labels_[core_mask])\n", - " plt.scatter(anomalies[:, 0], anomalies[:, 1],\n", - " c=\"r\", marker=\"x\", s=100)\n", - " plt.scatter(non_cores[:, 0], non_cores[:, 1], c=dbscan.labels_[non_core_mask], marker=\".\")\n", - " if show_xlabels:\n", - " plt.xlabel(\"$x_1$\", fontsize=14)\n", - " else:\n", - " plt.tick_params(labelbottom=False)\n", - " if show_ylabels:\n", - " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", - " else:\n", - " plt.tick_params(labelleft=False)\n", - " plt.title(\"eps={:.2f}, min_samples={}\".format(dbscan.eps, dbscan.min_samples), fontsize=14)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "q3gV9aeLDRoO", - "outputId": "7a045e7e-8421-47f7-84dd-f287ac98265f" - }, - "source": [ - "plt.figure(figsize=(9, 3.2))\n", - "\n", - "plt.subplot(121)\n", - "plot_dbscan(dbscan, X, size=100)\n", - "\n", - "plt.subplot(122)\n", - "plot_dbscan(dbscan2, X, size=600, show_ylabels=False)\n", - "\n", - "save_fig(\"dbscan_plot\")\n", - "plt.show()\n" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: dbscan_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "4kLWvBiFDRoO" - }, - "source": [ - "dbscan = dbscan2" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "Z3FLIQ32DRoO" - }, - "source": [ - "from sklearn.neighbors import KNeighborsClassifier" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "S2rYq_U5DRoP", - "outputId": "48766f09-fe8d-4cf8-ad06-72073d50a72d" - }, - "source": [ - "knn = KNeighborsClassifier(n_neighbors=50)\n", - "knn.fit(dbscan.components_, dbscan.labels_[dbscan.core_sample_indices_])" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "KNeighborsClassifier(n_neighbors=50)" - ] - }, - "execution_count": 124, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "aMFOsu_HDRoP", - "outputId": "4e5e34f0-f5b6-49ea-cd17-c50b541e5a4a" - }, - "source": [ - "X_new = np.array([[-0.5, 0], [0, 0.5], [1, -0.1], [2, 1]])\n", - "knn.predict(X_new)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([1, 0, 1, 0])" - ] - }, - "execution_count": 125, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "DMQcUe6YDRoP", - "outputId": "cec2036b-285a-4dfd-80e0-e1da13cfebf8" - }, - "source": [ - "knn.predict_proba(X_new)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[0.18, 0.82],\n", - " [1. , 0. ],\n", - " [0.12, 0.88],\n", - " [1. , 0. ]])" - ] - }, - "execution_count": 126, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "z1ar9sjdDRoP", - "outputId": "acb21021-e4e3-4d68-aebc-ac0e35d4e283" - }, - "source": [ - "plt.figure(figsize=(6, 3))\n", - "plot_decision_boundaries(knn, X, show_centroids=False)\n", - "plt.scatter(X_new[:, 0], X_new[:, 1], c=\"b\", marker=\"+\", s=200, zorder=10)\n", - "save_fig(\"cluster_classification_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: cluster_classification_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "__KNFR97DRoP", - "outputId": "917ea6f9-7c89-416f-f84d-de6c818d7b61" - }, - "source": [ - "y_dist, y_pred_idx = knn.kneighbors(X_new, n_neighbors=1)\n", - "y_pred = dbscan.labels_[dbscan.core_sample_indices_][y_pred_idx]\n", - "y_pred[y_dist > 0.2] = -1\n", - "y_pred.ravel()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-1, 0, 1, -1])" - ] - }, - "execution_count": 128, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "X1y-03BTDRoP" - }, - "source": [ - "## 다른 군집 알고리즘" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Yy5utEyNDRoP" - }, - "source": [ - "### 스펙트럼 군집" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Dy9pP8R0DRoP" - }, - "source": [ - "from sklearn.cluster import SpectralClustering" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": true, - "id": "Lj9WqI5BDRoR", - "outputId": "e3a3a1ae-7be8-4c02-84b3-50f3bb5b1975" - }, - "source": [ - "sc1 = SpectralClustering(n_clusters=2, gamma=100, random_state=42)\n", - "sc1.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "SpectralClustering(gamma=100, n_clusters=2, random_state=42)" - ] - }, - "execution_count": 130, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "IK3Zv50BDRoS", - "outputId": "5abf5d63-196c-4f15-ee93-101901b23869" - }, - "source": [ - "sc2 = SpectralClustering(n_clusters=2, gamma=1, random_state=42)\n", - "sc2.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "SpectralClustering(gamma=1, n_clusters=2, random_state=42)" - ] - }, - "execution_count": 131, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Q-NwNTIBDRoS", - "outputId": "95872943-b630-41f7-b5e9-de84a2114e41" - }, - "source": [ - "np.percentile(sc1.affinity_matrix_, 95)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.04251990648936265" - ] - }, - "execution_count": 132, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "c14vz-xADRoS" - }, - "source": [ - "def plot_spectral_clustering(sc, X, size, alpha, show_xlabels=True, show_ylabels=True):\n", - " plt.scatter(X[:, 0], X[:, 1], marker='o', s=size, c='gray', cmap=\"Paired\", alpha=alpha)\n", - " plt.scatter(X[:, 0], X[:, 1], marker='o', s=30, c='w')\n", - " plt.scatter(X[:, 0], X[:, 1], marker='.', s=10, c=sc.labels_, cmap=\"Paired\")\n", - " \n", - " if show_xlabels:\n", - " plt.xlabel(\"$x_1$\", fontsize=14)\n", - " else:\n", - " plt.tick_params(labelbottom=False)\n", - " if show_ylabels:\n", - " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", - " else:\n", - " plt.tick_params(labelleft=False)\n", - " plt.title(\"RBF gamma={}\".format(sc.gamma), fontsize=14)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "0aIfIHa1DRoS", - "outputId": "207c12dc-c1b0-425f-d157-3a14da21bc25" - }, - "source": [ - "plt.figure(figsize=(9, 3.2))\n", - "\n", - "plt.subplot(121)\n", - "plot_spectral_clustering(sc1, X, size=500, alpha=0.1)\n", - "\n", - "plt.subplot(122)\n", - "plot_spectral_clustering(sc2, X, size=4000, alpha=0.01, show_ylabels=False)\n", - "\n", - "plt.show()\n" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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2PEhDeDYtq1YdYxyeytBEo1He9a53kTy4jdyBR1mx9nKWLFmiXx8KhfRrpRJg703fYt8ff8zSt32C1nNfSmtrK7t27dLRnGw2qz0YCQMnk0ld8SRGxHyuiipOJ1SWYZuEQvRq4r1Lukju12w2i9vtJpPJaGdA0k75fJ58Pq+rFeFoZMFMqYgODhynxExpPReIRqP8zTvfxUjOprEmOCXJOJEduf766xnN2xTLsHJl86TXm68VPcvjPQkOjKZYN6OOppCHdevW8ac/nfxEBDOyJYRQKsYAbWtMYiM6Q6mEAofgpFIpgsGgjiJ7vV4SiYROsVc6qEI4q9VPzz6qhOYFhGhIRBMjFUKVPV0KhQI9PT062mKGR0Wjks/nJ4l6c7mc9tBEpyKehFKKYrHIZZddxq6f/we9D/yJcPtsNvz7/8Pn8/H617+eX/ziFwBcf/31WOUiyi7R0rKKFStWMDw8TF9fH21tbVjFLA/++9vBcrHMLtO27krWrVvHpk2bJnlSQtQO//lGiukER+65iY7zr6KmpoZUKoXP59ORobq6OtxuN4lEQh+3UopwOKwNjQggq1VQVZxOmIrImIumEBGzska0NLlcDsuySKVS+p7NZDI62iJRHEljiLdvLr4+n09vL6TJrKp6LnDRRRfxaF+a/mSOxpEMF89rnNKO4HLrqEqlHSkqN/cc6EcB58+qpznsfUo7cmA0RaFkc3A0TVtNPe3t7ad07PIdiWbGTEPJ/+U8CzE0S+GDwSBKKTKZzKRomMvl0mlzidIIYRLSZAqUq3h2UCU0zyPMULJEGUTcm81mtRjNLM+2bZuRkRHGx8fxeDw0NzcTi8Xo7+9n7969jI6O6teKmBjQRqzSM5ObMxqNsnTpUh780zcolwq4fAG67v0d7kCY5hUbePe7300ymcQqZLnzg5dTKuRY/5n/I9w+m7qwn+Zly0h07eHw/X/GHQhTzCQJNrThcrmYPn064IRku/58Iztv+DqLX/8PtJ93JWe/+985dMf/Me/l11Eqlejp6WFoaIhwOKyN8cjICD6fj2AwqIWNqVSKhoYGotGo7rsjRKjq5VRxOsFMKUi6ydSvyAKYTqd1VDWfz+uFMpPJTBKbSlRHKp9MgTEwSU9jauVE42ZqbuCZp4dMiB25bc8gZRtcFuwbThHyuGhubtZ2pGS5+eOOAQBesrCZgMdFXUMTzc3NjKTzHBpL41KKsm0T8LiOsSO7hlLsHkyyelqMtqifdTPqODSaZklrDcVike7u7lP7siYg50jSeOa5E4hDCejvVipMxdGUFFQikZjUaiMQCGhiK2muaurp2UeV0DwPqOwpIwZNog6ALoEW/YlU+fT393P48GFCoRAXXHCBZvg1NTXMmjWL7373u2QyGaLRKBdccMExRkp0LpUGbMOGDWCXGdx6LwCBuhYe/94nwS5z4eduJNDQRs/N36Scz1PIpXG53GRG+tjy/U8ytu8Jlr/rc2z7+RfIx0cA8MeaqJ27TH8+CQ/v++OPyY0OsP9PP6Hj/KuoX7iahkVrdBj9oYce0o3CpCmVGWWStFM2m9UVW9FolNraWm3YpxJQV1HFC4FK3ZkpqjfvfSEpUsUnURppdSDpo2w2SzabnRQVkIomSYUIWTFJy/FwIg3KiVJDU9mRfKnMSNohax7LYvORUWzgZYtbsdwe9qUsSCUol22UgmyhxF37hkjmilwwu577DgxTmgiKRHwuagOeY+zI7sEkmUKZPUMp2msCtEb9tNUE9DnbtGnTM/7eJD1XGUExNYNib+TvdDqNz+ejUCjothPZbBaPx0M8HtdyAaUUfr//mEhNNfX07KJKaJ5jVPaUUUrpSiYJL0u0RoRntm0zOjpKIpEgm83icrmYNWsWxeQof/7U61EuN+s/+yvc/hBr1qzRYVlVymPZ5UlaGIDrr7uO4cc34k96WL16NcuXL3c8hFIR5XJjl4r461ocz8Hjxxupo++ROzh0x/9hl4qAYvbL3kX9otXE/2s3NhbxI7smfc5cYpRSLoPL46S9urq6HGP5tk+w53ffZf4r/pZSqcTg4CDFYpHBwUGUUlxxxRX09PTwwAMPYFkWq1evpqWlhaGhIR5//HFGR0fx+/2USiWi0SiNjY266VhTU5NuwFdFFS80Kku15TkhKeLYSPdfISxTCYalj5ToY2Qbk9iYHv7JCn7XrVtHHos/be/H57a4bEEzHo9nUnoHy30M2QG47vrr6UuVCAS9rG5t1XakBCjABsI+NzbgdVl4LMX+kTT7R9L6/Ve01RD2uUnmnAhyPDsRaZo4/lS+hA1YEyk1sSOrOmrZO5RiWWt0Sjvy2te+VpMs+ZynEoGSCBcc7fcjhEOITqFQwOPxTGqy53a7dX8vqdhUSumqKInWSMRGIjVmpKeKZ44qoXkOMVVPmUwmMyl0bJY4K6W0oRscHNRkJ5vNcu6555Lq3kcuPgLYJHv2Uzf/bNrb21m3bh12JsHGD19BuVRk/Wf/j2DLLNatW4fP52Nky108/q2PUS4VufBzNxCdvoCu+35H1z2/QblcKJeb2tmLWfjqe1CWC5fXT938s/GEohMRGJv0wBHueP9llHIZgs0zWPCqvyM2fwVbv/dJamefxdyr3oE3XINt29TX1zM0NIRSirpFqzl38VqtAZCc+lte8VL2/O+XKJ1zOSvOfxlLliwB0FVQDQ0NzJkzh5tvvlkb7lQqhWVZBAIBUqkUyWSS9vb2qji4itMCUzXSEw2L9GpKJBKa0IguA5yUqpAbITGm/sJsRCkVgaaORtIjJyI2HR0djGVL5EtlcqUy6XyRqN+j7Ujetrhl5wAKeOmiZnwTZMfn89GVLPJY9zi2DS9b3ELA62XvUJLDoxmUAgtFY9jHouYIllK4LEVz2IfbguJE5iadL/K77X3YQCzgYX5jBJ/b4rHucRpDXjpbolgTn8m0I21RPx21wWPsyOvf9g52DGWoD4ZZtaqFZcuWAUftyNOtghJyIU0QpcOwPCdN90SwLd+PnHux36FQSOtovF6vLgcPBAKT+odJaquaenp28IIRGqXU3wFvA5YAv7Bt+21Pse0HgH8EgsCvgXfbtp17Hg7zlDFVT5lSqcTQ0JBm8ebMltHRUcDRvoyOjuqojoh7u7u7WbpkFfOufheW20Ns3nKKxSJDQ0MsXryYcmKIcjEPyiI3Oki0Yx7Tp0+nvr6e5EHb+R9w/+ffSWzuUvo33wmAOxBhxXu+wBM//izbfvofXPhvv8by+Ag0tBFumcHIREpp1mVvpHvTzROfrkyy7zBbv/8pSsUCA1vuYezgTpSyueDTvyTQ0EZnZ+eksPv4+Dg33ngj8Xicyy+/nCO3/4yBLXcztP1Bpl/4CqcJ4JE9PPDfH6FpxQY6r/kAAAsXLuShhx7C7/dr0icLxOjoqG64V1NTUy3jruIFg1k1I3/LImfbtm5uKfezqa9JJBK6f5MZzZFGefKzskrJJC/m4NmnQldXF2evaGZhUwS/xyLq90yyIzlbgQ02NrlimVDQq+3IYKZEeeItbt01QDTgoT/hmOGA22L19BgPHBrBZSkuX9CMpZwUkt/tIpl30mEzYkF2DqYAUAqGUzke645TKtt0x3MMpYZwuywum9+Ez+06oR3ZPZKlL5lnNDvGK5e0oZRiKJXn4QODzKoL0dkc0RGok6mCknNtEkfpNSPfjVSeCpH0er16G4myS2Rd1oFQKEQmk5mUXjKJkDkqoYpTxwsZoekBPgu8GAgcbyOl1IuBfwIunnjN/wM+PfHcaQupYJDITLnsDIgsFosEg0HN5qVCSfpISASnsnfFvffey6JFi5h79XW6lLNYLLJw4UInleVvZ+1Hvk0xnaThrHOxbZuWlhaSPQcY3vkIzSsvof/RjeTHhzSZAWhZeRH+2gZyo4OgFPHDu2iKNdHz0K2M7Hlcb9e3+U5Wve8rHLn7Jpa87eM8/p2Pa/0MQH58EOX2Mrb/Scb2P8nmr3+YllWXsPBV76H34dvoWP8K3vKWt7B9+3YWL15MMuZlcOt9tK65DHBu7q57biJ+ZDfxrj0seu37daRGwr7ixYj3o5RiYGCApqYmAN2vpkpsqni+IQuTee1JNCEej+uojIh5hfCIRgaOppPMjsBmhVJlE7hKnc7JYNOmTSxdupSzmsNT2pGgZXH+rDpQirqgV9uR0UyB8WyBprCXgWSeTLFMJnHUp5weC2ApRb5UhhIkckXqQ172Dac0mQEYSOVZO62W7niWVdNi3LV30HnNBHIlm0K5xFi2QDJX5JEjY8yuCzK3MUxvPMuc+ppJdmQ4W2YkU2ReQwhw7Mje4RTxbJFtfXE6myO43e6nVQUl59IU8EqaSKQClV3XvV6vjsSbjmo4HNZaKYnmSFWaGZk3K9eqOHWo57LZ0kkdgFKfBTqOF6FRSv0cOGjb9scm/r4E+Jlt2y0n2veqVavsF2LatlQmSWhRWLr0kVFK6fCztChPJBLaO1i6dCktLS309PTw4IMP6uGTkUiEdevW6SZ2Xq+XJUuWcN+nXk/88E7O/afv0bB4LWMHtjGw9T5mXvwa7v30m0n2HqBp2QXMvvzNbPneJ8ByU8plWPOBr+Gva+KhL74Htz9E49LzmH/1u3jgP65j8IlNKJdrQkMD817xtyx6zd/rzzew5R4e+tLfYbk8lHJOjrz9/KuJH9xGZnSQYmrcORmWBbZN07L1rP3wN4GjlVZKKfo2bwRsmldcRLLvIFu++wlazr6IuVf9DcVikc2bN3PnnXfqHHQgENCN92pqashms9TW1jJt2jR8Pp8mO+YU8qqROD2glNps2/aqF/o4ni5OZEeEUJgRGlnEstksQ0NDWtguKSiTxCSTSb2gmdPtpXRbSIc8X9lDZSobfjLiXtOOLD5rCbfuGSKVL/Ki+U3UBb0MJrMMpvLMawhz8/Y+csUyM+uCtEX9PNo9jrJtbGw2zGkEBfcdGMbvtmivDbKgMcytuwcYSRe0vgZgZXsN85si+rwdHE3z4KFRLAuE18ytC9KfypEplHSqSjCrLsja6TFg8pDNI2MZPC6LloiP0XSezV3jzKwLMq8xrO3I0+lTIxAxr4w2MBvsmUMopaBB2m5IFCcQCOjO5pFIhGAwqCs4TV2Nbdt6vajiqfFUduRM0NAsBn5j/L0FaFZK1du2PVy5sVLqXcC7AF3293zDZO+ArmgQY5dMJhkZGdHiVlNIeM0111BKjRGMNdHU1ERnZ6fO/8bjcf70pz9pg7R48WKUXSZ+aAcoxei+rdQtWMF9n3krpWyKQ3f8L95IDOwywaYOmpaex4u+eif3/uubGdn1KJmhHnbf+N/ED+0EYM0Hv4ayXAw+cR8A3nAtueQYCkVszhJtuAe23EPXPTex/J2fweX1sfnrHwYg1DKD7nt/M/lkTESZGhatRinFlh98mu5Nv2fV338RbyTGI1/9ACg47+M/pnbOUtZ9/H80CQTYunWr7t3h9Xq11ytl21INJl2PxZCUSiXi8biO6FTLu6t4Ong6dsRsjSC/SxM86dYtNkDST0LoJSpjtsmXtKpZxTRVKfjxxMDRaJTrrruOsuUm5PMcoyOZyo6UUSRzRZSC0XSBGr+H2/cMAXBoNI3bUmSBsNfF9FiQabUB/rizn3i2SKZYZkvPGPFciXiuxMXzwpTKtq58CrgtMhPMJDYR9bFtm66xDN1jGc6bVUe2UGZz1xhKOaXfidzUFVuNYafo4L4Dw/QlcqyfXU+xbPPAoVFsbF66sJlY0Msl8xqOsSOnAvnuJP0E6FQSTCZVQlqlkZ7YJemXJTOkpILNnLEl0bJqgcMzw5lAaMLAuPG3/B4BjiE0tm1/B/gOOJ7Vc350U0DypxPHQzqd1mHKdDqtdTSLFi2ivr6e0dFRnnzySWbNmsWBm7/H3pu+SfOKi1nzwa8dk/+dN28e11xzzSQmv/Yfv83YvieZddkbeeAL11PKOjnqzHAfmZF+AMq5rN4+fnAHyrIY3f8kLWsvY2DrPbiDEdxBx3OKzlhE/NAO6hatpu/h2/CEaxjetZnaWZ0MbnuQx775T2CX6XnwFlb+/ZdoP+9KAnUtHN74K+MsKOa/6j0MPXk/WBbpwS7u+uiriB/aDsAjX/0grkAIZVmgFL6aBm0cujb9gaFt97Pwte/n2muv5Yc//KGeSSUNyMQjEuO+b98+zjrrLNLptM5pSxVCdQZUFU8XJ2tHKomGRE8kOiORGiExZsdYibrIwispJukSLNtI00251mUBlX5SlZGYdevWsW0oy77hNLPrg6yZXndSduT8WfUkcgVm1gW5bfeAfj6eKSKBktKEiKZsQ3yCAI1lCnTUBBjNJPC7JyqCLAh5XaTyJeoCHroTOQIeF73xDFG/mwPDKR7rcSJGPYkcazpqmF4boCbgYUd/YtI5XtwcoT/hDMUdyxT43bYeknnniP68bwivywJsXJbC6z46XmDvUJLRTIGlrdFJduQUrgX9MMmnEE6BRHEE0k/IJD3yXUpqXFpUmBVPVRt16jgTCE0SiBp/y++JKbY9LVAsFnUYMZVK6Y63/f39jI87fOzKK6/UbF1SJqOjoxy5ay8oi2TPPoBJ+d+2tjZe//rXA7DtJ59n/y0/Zf6r/o76+cuZd/W7UEqRHekDZYFddh4oQOEORvRNde4//5Ch7Q/RuuZF3PvJa3D5g5z3if+hXMihLBcXfu4GSvkst1x/PnapSH58iH03f59U70Ha1lyGslzYpTLRGYt49L//EbuYx/L4qJl9FtnhXgBWfeC/aFv9Ig7Xt7Ll+59kZMfDzsmxXIRbZpDqP0y5WGDle/6ThrPOxRMMO8betnn0G/8AKHyROhZe837e9ra38fWvf51EIqGNvwj0xBOWKeCtra06PSfC6+oMqCqea5iaN3PydTqd1s0hAX3dmqMPAF2iLWRGojeyAE6F4/WUGR8fZ1vCSRWPZ52fU9kR27Z54NAIh0YzLG+PEgt4WdTsmNdM4eh72hwty/a4nPvPUnDx3EaGUzlaIz5u2zOI16W4ZF4jxXIZl1Jc1dlCyYZfb+nGBtKFEtv7k2SLNlG/GwsoAzU+Fw8eHqMMWOMZoj43YxPHffGcepqjAXb0WzzeM85g6uik8KjPTTJfJFMsceHsBhpCXtyuifNasnn4yBgKiPjcLGgMazvydJsImiTGrEYyhdq5XI5AIDCJnAghlXEU9kRjPp/PpzsLyzUgA3qrWppnhjOB0GwDlgH/N/H3MqB/qnTT6QCz42Q6ndbN9LLZLOPj42SzWVauXIkqFbjrYy8nPz7CBZ/9P4JN06irq6P22k/S0LmGpmXrASZ1wbz66qsZ3vEID/zHOygXnBt796+/CoCvroWFr/o7mldsIHnzD4wjUmBB45Jz9U0VaGhj3+9/wK5ff1Xv555PXoPl8nDRf96McnvwRWqpW7iSwS33OLuxbRo611K3cBVzXvoWOs5/GZmhHh760nsBheVys+Ldnycz3Eu4bTbbf/YFtnz3Eyz7m0/jq2kgOzoIQMd5V9Lz4C3Yts30C66meeVFWC63JjND2x6gacn5DG1/kL2//wGh1hlMW/8KrrvuOp544gmtBRBiUywWtfc7NjamSYxUDgSDQT1/pToDqopnG2Ylk1yPQrBlmKypdRECI86OFAKYr5dFU9KnMHXTvHXr1mFbbm7eMUDZtrl8YTM+n4+6ujrOiSm64zk6ap16i0o70j2e4d4DI1rb8li3s8iHPRZL22tpjfo5MNE/RgiNAhrDPm1Hgh6Lu/sSbO2N6+qnP+7ox+1SXNXZSqlcxu9xEQt6dPrJBprCXuqCXjL5EnMbQgyl8jx42KnydFuKDXMbGE0XqAt4ePDIGPcdGmX1tFp8bovcROpqdl2AgyMZbGBBU5jmiO9olAwYSudpCHoZyeTZ0j1OyOuioyZwjB05WZgDgSujNWYaUBxZGaNgltZLlVM0GtV6KdlWSI/0qan2pTk1vJBl2+6J93cBLqWUHyjatl05eOR/gB8ppX6GU+X0ceBHz+exPh3ItFbz4iwUCoyPj+veE/X19eTjw6QHulGWxfjB7YRbZjgdKD0xZl76+kkh7K1bt+qmcpu++xFNQoLN00j3HwEgN9LHlu9+nEDTtIojsqlbsIrHvvVRlrz147SdczmZoR6KmRR22TFVls+PXS5RLhU5cPsv2fubb2N5vFz4bzey6cgeciN9eMIxZl/+Ju766CtJdO0l2XOQNR/6Opd86Y+4fCE8wSCW20uw0fECuzf9HtsuM7LncS79r9vpuu9mwq0z8QQj9DzwJyy3h4Yl64gf2knNrMUopdj3p/9h5/9+BZfPjztcQ35skL03/5CDd/wv0y98Fas2vEprAZLJpI60iGYhmUxqLycYDBKJRHQvn1AoVJ0BVcWzCjOFBEfFu4lEQuvjLMvS9700y5MSX0lLCekxyYy5aB4vQtPR0UG6WCZbdP4/ninQEvXj9Xrx2DbzGtxT2pGGhgZu2TWgyUzEa5GYSOEkC2U2HRzBO8V62hj2cu+BYc6ZUUdLxEciV6Js24iMx2MpSmWbYtnmyb44uwaTuC3FSxc28aedA+TLNiGPxcy6EL/Z1ku2UKJQtlkzPUZD2IfPUrjdFpZS+KMuiqUyPfEsCqdq6urFrRwcTRMLeCiVbQ6NZgGb5rCPsUyB2oBTALC1Z5xdg0kCHheWgqIN2/vibO9PsKgpwqophvCeCGbURX43nzOJp+htbNvWA3c9Hg+ATokrpfTIGvnOK0vCq07X08cLGaH5OPAp4+83AZ9WSv0A2A502rZ92LbtPymlvgBsxCnvvqHidacNpJFeoVAgHA7rskzx1FwuF/l8nr6+Pjo7O1n69k+QHR2kddWlPPCf72boyftZ+5Fv0dC5VouKlVJce+217Nu3j7ED2xne9qDzZsrF+Z/8Kd0P/Ikd//slynmnIqJmxiIyA11YXh+2XcYuFkl27yMfH2HXjd+g/dyXUDNrMUve9nHKxQKNS9bhr21wqposF/2P/dn5LIU8O2/4GrmRPgDCrY4wMtQ8ncSR3YRaZwAQaHB6PwxsvY9U3yEO3vYLAg2t2Ni4/SHmXnEtynIxff3LARg7tAtvuBblcrP5qx8E22bpOz7N4JObSHbtxbbLWG4vvtoG8mODJLv3ApDqOcjMS147SQtg5pxlVk6xWCQejzMwMIBSipoaZ9ZLMpkkHA5XZ0BV8azBTEHINGwhzOb8JqluMkceSLm2kBhTY1FZnn08dHV1sbK5mWVtNZRtm6awl9t2DzCWKXDx3Ebqgp4p7UhvPKtTOpaCFy1oYedAgh39CU1yYgEf/ckcHktRLNvYwEi6QLFss60vTmu0ieawl+VtNbgsp6FewOOiezyLz22xezAJQLFs83hPnPxECKc24Ihew14XmXyJiM+t/wbojmdJ5YrsGXLmQYHTdXhOfRhLwZx6pzx7IJHF7QKP5eLP+51g/fkz69g/4pSJ2za4lMLrdlHMlxjJOJ/3se5xpsdan1ZvGphcMi8/zcib2UdGmvOJLsqyLE1qZA0Q4uL1enVnYdmHSBGq9unp4wUjNLZt/wvwL8f5d7hi2y8BX3qOD+kZQUqzhZWLdyWaGcmpZzIZHnroIebNm0fH+lfqC39wyz3Y2PQ+fBuRttkcuuvXHLrjVyx56z/TsuoS5s+fz6Pf+LB+v2BTB/5YE3Ne8hbmvOQtjO7dijdcy6GNv8LyePDHmsiO9KE8Xl16nezehz1xI07f8KpJ5dMtqy5FKUV95xpy8WHiR/bQ+/AdACjLYv7L/xaAVe/9EpmRPkCR6NpLuH0Oo3u38tAX34NdKmKXSyR696MsN+Vinke+9iFWv/+reCO19D/+Zx7+4t9hlycb6aEn76fvkTtQKBZd8wGmXfAyHvzPv9X/D7XMYOaljnbI1AKYQ/lEUDk+Pk44HCaXyzEwMIDb7da9IFKpFOFwWIf+qxUFVZwq5P4WzzqTyeiHSVakIZsQHrOayefz6cG0sk8ZcigL3FN1/5WeMvPqnRLgQqnM8ITGpGc8Q8jrYlt/gq6xDGunx2iO+Jg/fz4b9w7pfdT6PfjcFsvaaljWVsNgIkvQ5+LJ3gSWgpDXTSJXwObooj6Sdt5DKcW8xvAkOzIj5gxhrPW7eeDwKIlckcNjjoZIAYtbHI3ORXMbyRQc4pHIFgj73PTGs2w6MELJljEIRRRQtG02HRzm/Fn1uC04OJLmgYkUVY6jtqR7PEvfRG+cVdNqmVYTmCRuDntddE68/9PtTSPfj/m9A5NmPYmDJbonswu8QJwu+Y5lvpOZjjR1OFVS8/RwJmhozgiYjfTEQ0un05qhi3eWz+dJp9N8//vfZ+3atSxcuJBgMMiaD32Dnodv4/DGGzhy142gLEq5NA//1/u59Cu3EqhvpW7BSrrv/wN181eQHuzmtvdeguX2MuOS1zD3ircDsPC176Np6flEZywgcWQPQzseZteN/w1Afecap7pp3xMUUnEal6zDtm3dJ8PtdlNfX8/qD3yN/bf8hB0//yKeSAMr3vMFGiea9aEULm+A2993CXa5zDn/9B0CdRMtgVwuamYuouO8K1GWi20/+Tyje7fwyFc/QO3MThI9+zSZsTw+yoUcltfPkrd9ArtcpphNMeOi1zC2byvxw7tQLjedr/8H5rz0rfo8i1bGRDgc1pUefX19PPzww3R1dRGLxchms3R0dGhhsMxgqc6AquJUIYuaEOlkMqlnNEk0RqI1cs+brzXb3ZsRHtmfRAGOV5YtiMfjfOtb32LdunV0dnYSCoU4d2YdvfEs2/sT7BxMUpyIjNy1b4hXLGnF67JoCnvpT+ZoiXgZyxT53TZHyN/ZHGFOg+NLruyoZUZdkPqgl6FUnoFElh0DTtSlLeqka4dSeWzbSUVNZUc2zGngiV4n1RPyujhnRh31IWdbhTO+6Q87nAjwi+Y3EfA4zp1LQY3fw5yGELliiSf7Egwkc9yzf5jGsJee+NGKTREWeyzF2e015EpllIJZdSG6xzOkCiUUsHZ6jFkT0R35HirtyNOZQm5+X2JHzHJtQOsoPR4PoVBIPy/OVLFY1Lo/Ia9ut1uLxqs6mqePKqF5FiACP8mT+nw+nUeXOR5SvSBNtZLJJH/4wx/YsmULb33rW2lavp5iNs2Ru25Eud1MW/8ypwxawdbvf5pF17yfmZe+jti85Tzxo8+QGx/GLhfBttnz/76tCY2yXNQtWo1lWdQtXEXtnKUTfWZsVrznP0kP9XDfv74ZpRSrP/h16jrXahHzoUOHuPXWW7n66quZddmbaFi4mmDTNDzB8KRyVJdd0uSmXChQnhDMKRQr//YLhNtmUS4ViR/ayfjBHYzsfpThnY+AXcby+Fj5918kHx/hyZ9+nnlXvRNPKEL7OZcTnb4ATzBMqG0W7kAIu1yivnM1APGuPcQP76Z1zWUsXryY+++/n56enikrPTo7O/n5z3+uieXw8DCxWExPL29qajqmjXwVVZwshMzk83k9l02iheJ5mykns7xXvHtZEEVLI6THFA2fjHcuPWW2bt3Ktddey/TaALli2RH0lm1mxAIcGnXEsw8eHmV5Ww2LW6I0R3w82jVOrlRmIvvEk30JTWhclqIp5Mwtaon4qA95Gc0W8bks1s6IMZYpsHHvIKC4ZH4jNV5rSjtyVkuEjtoAUZ8bt8uaZEds11GHojwxbgEFoLhgTgNBj6OjGcsUSeSKDCRz9CedCIzbUqyfXc9wOs+2vgRL22pwuyxmxII0hLy4LEWN341LKSxLUR903ms4nSeVK9JR4z+hHTmRzsYcYSF9ZKQRHxzV3cj3bPabEULr8/kYHx8nGo3q1JOQGpfLpdeUKk4OVULzLKCykZ7H45k0YG5kZIRkMqlFg6KYr62t5Q1veAOp3gPs+vXX6Hv4NgCCDe0sf8enaT/nch7/9j8zsOVuitkk533yp+z61VcZ3f0YlsfLzEvewOiBbcy46NXARForl2Hrdz+B2x9k6d/8C5bHy6r3/9fREKnXj+V2Uy4W8ISiuN1uYkEfpXyG1tWrWb16Ndu3b2fu3LmEp83XnkOpVOJHP/oRS5cuZdWqVVz4bzdQSI1TN/9s4od363NRLjkGWVkulr3zM+QTY9z/uWtJD/VSTMcpF3I0LD4HTyDEjItfA8CuG7/B7pu+g+V285LvPMh9n36zHqtw98dexaJrPsCO//0yAAte/ffMf8W7eetb38pjjz3maGEKWe7/wjtw+0Os/oDTu2f58uVs3rwZj8eD1+slGAxqTygej+tOw2bfiCqqOBFkQZaeUkJARORpzl8zdRdy38vrpSOwRHDEVpgRmaeKzpiIRqO86U1vYjxX4oneUXon0i6xoJdzZ9QxM5bl/kMjdI87kY0LZtXzWPc4I5kCbgWzG0MMpwosbHLITLFYJF8q83DXOCGvmxXtNXgsxYWz67UdcVvKGcZk23gsR/dRU9eAPdE6wbQjNT4Proly6ko78qIFTZRtqA96GUjmmJiEpT+7y1Ksm1lHulBi494hMvkiRdvR5jRH/DRH/HROlJo/dHiE/cNp/B6LKztbuWPPIIWyDdj8fmc/y1ojbOl1WmismVbL7PrQJDtSUi5u3ztEyOti3cz6k9LZyPcpJFWuDZk9J/2wzFSj2YgvkUjg8Xh09SWgXyOzoappp5NH1Zo/CzAb6QFa+S4XbDKZxO/3s2rVKlpaWujq6uK+++7jwgsvxOfz8fC3P8bY/if161tXvwiAYiZFZNp8CukEbee+lPRgN5mJPi+eUA1L3vZx/RoxlsPbH6L/UWecwIxLXkvN7CUMDw8TCATw+Xx4wrVc8uXbKBey2OUyu274Bnt//wPsUpFzP/oDamYuorOzk3w+z9atW2lsbKS7u1uHX5PJJEuXLiXYMkOTnci0eVzwaWf6bXTafEqlEk888QQtLS00Nzez4fM30fvI7Tz85fcSbJqG2x8EJpoODhxhz03fxi4WsF1uuh/4I9mxo3lvgH1//J+j59blIhcfJtV7iFWrVjmC5MfuYmzfk9jYxA/vJDZ3GS0tLboscnh4mJqaGkKhEMViUXs9iUSiOtSyipOGbds6miJlumYfEnlIxEaiL/I6iexIpLZQKOh9yDV4IhIzVVpkw4YN+Hw+bt/RP2lukuhZ8iWbWMDDyEQDvHShRKbgHHfA62ZlR0y/RuxIbzxHXyKHbedY0Bgm6LEm2ZGgx81VnS3YQLFUZkvPODsHEiic9FHE7zkpOxKdiIiUy2UaQ14umdeE21KEvO5j7MiVnS3sGUzySNcYscDkpWsklWP/cBobp/lf11iGfGnyudzRn9S/W0qRKZRIF2xWr3aiwAdHM4xlCoymC6QmBMtPR2cjERn57oWwSgRHHN1AIKAndxeLRVKplN5HOBzWqXEhwdUozcmjSmieBUiY0ITk1hOJBD6fj2uuuUaHM5ubm1m6dKkjACzkaFhyLmP7n6Rp+QXMvfIdNHSuITs+xMNfeS8AC6/5INt/8UWe/NFnUW4PoGhesUG/l+SvLcuicfEaaucuxe0LUDNjkVbVf/Ob39RhVV+4BsuK8eePv4bxg9vBtrHcXh795j+SHe5j7Ye/Rd3ic8jn83z/+98Hjt6smUyG73znO5xzzjm0t7czODjIokWLdDRHDPXGjRsBuP766/H7/UTa5xCoayHcMgNsp2qiXC6Ti4+AZTnN+go5Hv/WPzH7pdey/5afYRdyTLvwFRz58436s/qi9Wz8yFUU00kWXfMB5lxxLXWda2lcsg5PJEbNrMW650YikcDv95PNZjl8+DCNjY0EAgFKpRKNjY26+qnal6aKk4FEYCqb4pm9ZCRaK6llKc0V8iL6G/HWTYHpiTBVWmTZsmXOYEQbWiJ+9g6n6Kjxs6g5QkPIx1g6x/2HnGjn6o4aHjo8io1T3QQwbaJPjRyX2JG2WD2xkTRBr4uQz+0Mnqy0IxODGH+7e4B0vuTsF6d7b65U5pJ5jdT63JPsiMDU/5h2pNbveUo7Uh/y4ndbRH0efdy2bZMplrEUlGzIl5yGgfMaguwZckjOnPoQ+4aPEgfLUvx+ex8lG9ZMjzGrLkhbxEdT2EfU5yHsdU3q3XMimGX3Uugh37M03ZNojsx8KpfLmqyYYxPcbreuwhRyU8XJoUponiFM4yQoFouMjo5SLpcZGxtj5cqVWOUiD37+PYDNmg99A6/XTyE5zp0fupxSIUfLmstIHNrJgVt+xu4b/5u5L3sn0uBhdOdmyjmnUsAuFjnrLR9l1ovf5Pw9kWtvbGzUv5//yZ9MOha5KcWIvPOd7yQcDhObvYTxA9voOP9ltK65jEe+8j6wLMYP7aRp2fl0dHRoz9GsuEin09x2221aF3DXXXdNGnZnium+9a1v8a53vYvBrZvIjg2SGe0nnxjFV1NPNpulZvYSVr/vK6T6u9jxv1/G7Q+y/4//gzdSy4bP34EvWkdmuNcZoQD4Y00UUgkolzh4+y+Ze+Xb2f7TzzOw5W6nf4/lwi4Wue8+Zx6VlFVKnxpZaGRYXC6Xw+v1VvvSVPGUEA2cx+PRaSWJrGQyGV3pJERHdHNmma/MBDKbb8p+TgbSSO/OfcP4XBbnzarH6/WSLpT4404nqtkW8TKeLbCjP0GxFGdu41EhbHc8q8uyyzacOyPGzLrQ0fSOy2XYEbhsQbN+7VPZkbqgl1Q+w9z6EC1RH/cdHEHhdCluCPmOG+UQ/Y/gZOxId7xItljm0FiGtWVn3EE6naY55OPcmXWkciW29I7jdVnsHU4T8bm4dH4zPrfFcDrH2ET5ts9tUZw4GbsHk8yuD/FQ1xj9iRyNYUdvY9s2mzZtesrvRLQwZoTNHGsgtsfUUAkplgGXpgxB+hS5XC7C4bCO9v2lCYRPJp16Kk5mldA8y5BoSXd3N8PDw4yNjdHa2kr84DZGdm0GYHTvFhrPOpdCOk4plwUFfQ/dCkCq/zAA40d207jkPDIjfcx7+XUMbL0Hu1wiMm0eAFu+83EWveEfOHjrz+m697ec/e7PUzt3mTaWppdj3pSpVIodO3awYsUKllz7CRZd8348IScHve5jP2Ds4HZmXnINxWKRvr4+7YXJZ5MqDLNSI5VKceedd+J2u3WIVRCPx3nyySdZdu5LGd3/BNHpC/DV1FMqldizZw8LFiygcdl6mi2L2Ze/iX1/+BHbf/FF/HXN+KJ1AKz42/9g6w/+lb5H72LzVz+INxojPzZEPuF4nokuZ1xEonsfSimGhoa0IZTKAVN4WSqVSKVSxONxLeCu9qWp4niQyIs0TJMHHK1ulDEF5jgOMwpjzmSSRcqsaDoZdHR0MJQu6LLpeLZALOglJ71sgJ6E8z8Z7jieK9AU8pIv23Q2R+mJOx27G4Ie0vkSDx8eZXlblK19CXrjWc6fVU/U5zqhHYnH42zbto1Vq1Zx3sw6CmV7YqYSXDjbIpErMqsu+LSiHJUEp/J/Tz75JIuXnU08W6Q54sNlqUl2pD3qlEAvbI7wePcYOweSBL1ufG7nuC6YVc8jR8boTeS478Aw7okeOzLmIT6hjh7LFI+xI8eDfH9mU8TKEQmVETrRxpjXlTjGZpRGKqREWH6m2SchLeZPs+cSHJ+0mM+b5esnOgdVQvMsQfLkAwMD7N69m5GRET3Dqa+vj7M6l9G6xtHG1C1Y6XSzbZrGmg99g+4H/+iUahsoJMcY2vYAl397E55QlMv++27G9j9J7Zwl3HL9+SgF3pp6DtzyM0q5NJu/8WHWfOBrRKYvYMuWLcfkrAEtMNu8eTNLlixxBjyGotrwxhaspH7RasfoFgo8+uij2luQzyiRDLlJTe9EemsIxLBLv4xl7/q3Y8LJGzduZMOGDSxbtgylFLNf8laaV1xEoL5Vv6evpoGZl1zDwNZ7KZeKTF93Jfv/+GNq5y4DYNX7vkLfI7fTuuYyisUihw8f1sdgej6ymBQKBXw+H/F4nNraWnK5HJFIpBqlqWJKSBrBjKyIPiKdTmvCImkDaWMvnrekDmRhEsfgZEW/gq6uLpad3URb1I/XZVETcMqEYwE362bWc2g0xeGx7KTXZAplsoU8r13ejqUUV5/VynimQNjr4vc7+kFByHO0Ed59B4a4YHYDYa/ruHZEIPe11+vFO3F+lFI0h720Rv1TEqFnAnm/c6bXntCOLGurYU59iNBE4z7btgl53cysCzGQzFMqOxqj/SNpmsOOzdowp4HeeJbpseAxduREqGyAKDpK27b1kFwhxKb+yuVy6Sncsr1EjaUnUS6XO+0rno5HWsxeYU9VuVdJWuT1lb+fCOrp3lRnElatWmU/8sgjz+l72LZNb28v8XicwcFBBgcHGRsbI5lMalFgMBjkuuuu07lvM8To8/lIDxxh07+9nUBjO5bLxciuR7HLJcJts7jwczdiuRw2P7L7MbKjA+z93fcYP7ANgPpFaxjbt5VSPkvd/BWs++RPePjhhyd5OpZl4fV6CQQCOsxZU1PD0qVLaWxspK+vj507d9LZ2UlzczPDw8M88cQTxONxbXzlwvT5fASDQS1+A3SZqnS5lM8tDcVyuRzhcFjrbip7PESjUd797nczvuth0n2HmX7xa3B5vPRvuZfBrfcw96p3khsfpvehW4jNXU73g3+k676bUZaLs6/7HG3nXK51DQDbt2+nWCzS2Nio3yuTyVBTU0MgENBNtWQwaDgcJhAI0NbWdsZ5QWcSlFKbbdte9UIfx9PFihUr7D//+c96MUomk1ojJw3zEokEiURCz3GSKKAYakk7SHTTFAQ/nWomU0NTaUfGMgX+vH+IWr+bXNFmPFtwKohCXi6d16gXh/5kjkKpzJaeOImc8/qWiJf+RB4baK/xc/7MumPsyPGOyUwTbd26laVLl06ZNno2UPl+U9mRgUyJfMlmdl0Qy7I4PJpiOF2gszlCIlugJ56jPuTlwHCSI+M5XArOm1VPW9SvIywwtR052c9iNtzzeDz4fD78fr/WxEgHc6/Xi9vtxu/3Ew6H9QyoQCCgnSyv10soFNJVmqcLKrsny3OmVkzsaSWZqbSzlf8/XqHGxJiJ49qRaoTmFCFMOpFIMDg4yMjIiPbSRBRodq81BXBjY2M0NzdTU1OjIzUv+urtk/dfLoE6mofNjg5y/+euRSmLGZe+Tot5C+kEC171d+z+zbeZduErsCxL56zdbrcuW5acrehFQqEQBw8eZN++fViWRTAY5ODBg+zYsUMfv9xALpdLh0llKiw4inyJdCQSCW2sg8GgTvPI8WcyGTZu3KhzyibWrVuHnU3x0P/3tyjLwvL6mL7hVTzy5b+nVMhTyuc5cs9NYNuEWmaQOOKUidulIo9/+2PY5SId513F4NZ7GTvwJPNf/Gbih3bidxVpmZjb8t3vfleHhWVERTgc1vN25PusRmmqmApmAzyTjEjztGQyOSlSI+RFrn+zksmE2aPmRKgU0lbakdqAh5ef1TbpNeWJJnZyHPFsgT/vG0KhmFsfZFdORucpFjaF2TucYmYsOMmOnOiYKklPT0/PSX2eU8FTpaXWrVtHrqy4/9AoCoXP7aI14mPTQaersFKwayCJQhHwWLoirGTDfQecTsStUT/d41niuSILFi5iOF0g4nefVF8aE2anXxEJC/mUeX+SThJdVj6f10N0PR7PpOpZscUS+XkhYUZhzDSbfD4pY5dtnwpTpZNMZ9mcnQWaPB3X66wSmlOAeGnSHVQqHJRS2lMzc6Zw9EZsa2vj2re8ic1f+xClfJaV7/0KnkAQrMkttIXM6MiHP4jLG6CUz9C29sXUzlnC2N6tzLrsDYSapzP3qr8B0NoXSRUFAoFJZEa8ALfbKYsMh8OTpr9KHldCpULK5DjE2wCoq6vD5XJRX19PV1cXY2NjOjJjWRaBQGCSQRfIzS3npqOjA184QqCuhexoP5GOuSilCDXPIN61m9jcpfQ/eif5xCi1c5ZMEBoF2NjlEmP7n2Ro24NONZTlItl7iN6HbkUpxWXf+DMeb4C1a9dy++236/4zQqx8Pp/uGCqammqUpgoTZpRS0qySWkqn08foZ0zhp+hQpAy3cjF4ujDtyFuufTubDgzjisc5Z0bMsfK2PcmOCJmR+9frdmEphW3D7IYQtQEP47miU5rtdbO8vRaYLAI+U9DR0UHQ58HrsiiUbKI+Ny5LEfS6SOdL1Ae8WjfTEPKSzGf0a8s2DCRz7BtK0TUxEDOeLXJkLI2lFK9c2va05j/JNSORY5eRkhP9jBAY6RwsvYiUUuRyOd15WB6SvoTjRzCeS5h23Lx+JfU3Va+dE2lfzP2IfMGM7EiDQUn7VjU0zzLEu5dIzMjIiP6iBwYGiMfjOrw8lcG66qqr6N70h4leMXDXR19OfrSfVR/4Gi0rLiKdTpPJZAiFQpSTIzzxw8/QtOx8Zl32Rl701Tso5jP4axqIzV1Gx7kvBY56j0I+Hn30UaLRKC6Xi2AwqNmusHshJjU1NYTDYX1zSFRFIjuyT6nWCIVC+P1+SqWS3r/0emlsbMTtdpNKpfSFKcRHiI7Mt7Esi3w+r2+Erq4uWlpauOTLf6JcLODy+inmc8SP7AKlyAz1cPEX/8Donq0c2XQzMy97Iwdv/yWUS9ilIgdv+zm2eLm2TbRjLr0P3oJyuVDK0ikmGVxplt3KPJ3x8XFqa2urM56qOAZidOWakX4zMsldnBqzbFd6jtgGwRA8G4T5qquuYs9gkr6kE+38w44+ciWbi+Y00hj2TrIjeVw82j3OjFiQWXVBrl7sDI/1uV3U+D36+ORYn23ty/MFsSNXn9WKbTtN+dL5IumJSEymWOaqxa0MJrMcGcswOxZg/+hE9SiwcyCJabEjPjc2R7+vpzP/qVIYLNeC6GnkpxAbc9SBqc/y+Xx4PB5yuZyOjj9VxO+5glkQIn+bmQh5zrzWp1r/KiMylfeC6fjKeiXnSe6tp0KV0DwN2Lat8+cej4fh4WE9v6W/v/8YMlNZwRCNRmlsbCSjVoPLDaUiueFeUBYjOx+hdeXFKKWcAYqZBAdv+zkDW+5m4PE/M+tFb3AmaKfjmsGm02ldRl0ul+nt7eXBBx90hHnNzZTLZZ1CkRsiGnW6AweDQfz+ozljOdZIJKLJjITUg8EgkUiEQCAwqdW7eJ8S+amrq9Pl0alUSnsoDQ0NSCfVRCLB6OioLldUSvHggw9qcaHL63dufK+PaRe+kuEdD9O65kW4/SEe+vLfUcqm9flUE9oibAg2TcMXrWPF3/1/hJo6aFq+Hl8k5oxQmDAk0WhUN/UCx8sZGxvTUauxsTGi0WiV0FQxCXIviF5GojKiYZGojdmLSnrUTGULKpvyPV2IHfHmSjzR5xQeZCZqkIfTeZoiPm1HysrF9t44fYkcQ6k8s+tDuCybXPHoglMoFBgdHWVgYIDa2trnRPvyfMAUKYtXH/C4aK/xE88WaYv68ViKe/aPTCIu5pIa9roIeFysm1VH0OOmrcZP0ONEtcrlMoODgyd1LKa+RJwkc2E2BeYSpZGInqTAM5mMnsYt0XJJi59IZPtsQUiLSWTM5oGVKbATRR4rr3l5rVnFZZKiyopaM501FaqE5mnAHECZzWYZHh5maGhIhwrNSgiYzFBFsGZZFr5wLY1nncvglntRLhd188+mmM9x76ffxPJ3fZa+Lffw5E8/T+2sswg2dtC09HyUZfHwl95L/6N3Mfdl72T+q/6Obdu2cdttt+k0iURFGhoa9A0kN4OIYVOpFKFQSHsI8jr5v3mxyA1XW1tLJBKhWCxSW1tLNBpFSg5lGF+5XMbn85FMJvU24rUmEolJnqvP56NYLOp0WC6X4wc/+AGrVq2ivb0dt9tNU1MTZ1/3b+y64Rts+rdrWfbOz1B5n7SsuYzeB/6IO1zLhs/fpDsQFzIpUn2HCdS16BuisbGR66+/nm9961u6Hw2A3+8nlUppsjY6Okptbe1zeyFVcUZBjLpE+KRMW+4P0zM1F6vKewmOjkl5JmRG7EjAA41BD4PpApaCprCPeDbPnXsGOWdGjF1DSXb0J2kKewl5XMyoc+6PjXuHGErlWd5ew7z6II8++uhJpVFOd1RqjMSOXDC7gc1dY9y2e4BzZ9Yd87r2qJ+ueJaA2+Kli5pxTSyyuUJJdwyW73jRokXcddddT4vsifMmkWvbtrXNlmtL7HE2m52kvZHqOJMYmwTpuSznNjVhZnRfSDwcJfsmjhelqSQ6QozMlKhJcCpJzcl8ziqhOUnY9tEBlOVymf7+fnp7eyeJv8yqBdu2iUQiXHTRRcydOxev10viwJPc+81/opBKUEiNAU6V0tCOhxne8TCgOHzXDeRT4yhlkR3t57Kv36WPIdV7CJQi2XMAl8tFe3v7pGiCz+cjGo3i8/n0zRMMBsnn8/rmlotNokxer3fShSI3mOR3m5qaJuV5zRSVy+XSESC5qOvq6kin0/o9S6US8XiceDyub4auri5GRka0zkc83jvuuINCoUA0GuV973sfAAfv+CX5+AiHN/6aDf9+I8M7N2MXC3gjNTzytQ85wujEKCN7HqdpYnr449/+GP2P3oUv1khmqIc5L30bi9/4Ebxer86BS+rQ7XYTCoX0Oejr66Ojo+O0LpGs4vmF3BOJRGJSVMb0sivn7oi3LWJzk+g8Xe1MNBqdZEeGMiUe2ddHrlDSzeFawj56EzknRQIcGs0wPtFXJVss87KzWvX+kvkiSkEiW9R25C8FpmjYtCP7hlOUyjaHRzO8ZGEzw+kcpbJN0Ovm7v3DgJOSSuVLRP3OYnrPwWGGU3mCXhfJXIllbVEWNoa56KKL+M1vfnNSx2P28BLtDKALI0zdiETM5XqRmU7JZBK3243X69VrS6U+59mEOKti0822HZKBEMJxvMhjZbm2CXPNlL/lXAmpMcXAZgXridJsVUJzkpAvOJ/PMzIywoEDB8jlcvh8PnK5HPF4XJdrlstlx5O6/jqSB7bhs2w8Xi+H7/o16YEjk/Ybm7+c4R0PYwPuYIRp61+OP9ZMzfQFNCw+V29n2zZr//HbDGy5l7a1L6ZYLNLf369Jgd/vp6amBjga5vT5fJTLZcLhMK2trRSLRa2DyWaz+pjlwpGLz+1209DQoEObIh5+KsGsyaylA6/oaWpqarTHIVEkl8tFMpnU3orcvOl0mng8rss/l7/zsxza+CsWvvZ9hJqnO6MTJhD836+Q7jsELjeBhqNG2ROMYGNTzKTAtul58BYWv/EjuFwupk+fPunzjo2N6ZtHvuOxsTGdJquiCjHk5jgDicaa4XjxOM1iALO6xYzinmyEJhqNcv273028AP6AF7fLYveRIVL5yZVR9SGvHkrpdSmmxwLMrg9yaDRDW/Ro5Z5t21wyt5GBZJ7pscAZKf49WZh2ZO20Wg6PZehsjhDyuqgJeHTUxedS5Eo2Fo7uBpzvShoF5ovOd3VoJENnc5QlS5awcePGk47SmEJZs0OwKaqVCLc4gUIaxLHMZDL4/X4pW9aRjUmFJM8ChMzI+5vVSpJmlWiSeeymlkaOrVIYbMKMQglpqaxsEgJYWelEtcrpmUEWvmQySTab1WJAEciKUNDj8XDZZZfR0dGB1+tl3w1fZ/8tPwVsvOFaVvz9Fxne8QieSA3FdIpQ83TmXfF20n2H6N70e0rZJOG22SilmPmiN0wK55XLZXyxZmZe8lrtIW7dupVIJKLLpE3CIdNea2traWpqIhAI6BkiUk4tkRcJn5upJ6mE8vv9WlNzslBK4ff78fl8Oi3l9XpJpVK6YZREerxeLyMjI1oHJM9v3LiRhQsX0rR8Pc1nX6i/B5PtX/yF33Lgtl+w45df5u5/fiUv/u97cPkCLHn7p5h+4SuxUdz3mTeTHRuib/NGmlds0DeJ2Yp8fHwcn89HJpPB5XIxOjpabbRXxSRks1kdeZQGaWb6SH6a5aUSlgcmOQwnupfMAZRer5fH+1IcGss4WjGvi9XTY8QzBfxuRa5Upi7oY1FzlMFUnr5EjjIQ8jqmfV5D6Bg7EvRYzGkInbHi36cDsSPTY0Fm1DljICqrzF52Vhs7+uPs6E/wp539vHKJU/p+3sx6htN5CsUSdx8YIZ4tMJjM0RDynnSUxiSvZtWSXA/mZG2zWshseSH/M5s6Sh8i2eczTT3J9WsK283PIJEZM+VkplwrbXNlVevxYJJ9aQti7kMIj3lvPRWqhOYEKJfLJBIJRkZGKBQKJBIJ4vG4vuBSqZQmM2945ct48nsfZ7htFme99ePs696LXXKMWj45Tv9jd5EZ6dNRmsxwD3tv/gELXvM+yoU8zSs26It4aGiIXC6nBXrg9FmYNm0a/f39bN26FY/HQzgcBo7mMm3b1qQhEAjQ2NiI3+/H7XYTiUQmVR+ZF50Z1pO/nymENHm9XiKRCOPj4xQKBWpqasjlJrzJib44g4ODukpLxhHs3LmTpUuX8uRP/p3eh29j1d9/idi85RRzWYqpMfx1LbqjsFIWTLD4vs0b2fzVD1A3fzkuj49SPsvAE/fSsvIi6urqiEajWrQs4rt4PE4oFCIUCpHL5Ugmk9US7iqAo+lmmQFmhuTNPL9EZ8wmepXRzxNFZqLRKG/5m3fyaF+KIeVnaUOUzcMDWj+Wzpfoi2fJFEukJvhSppBh12CCsydGGMyMHZ1mfzw78lw1vjvdEI/H2bFjB0uXLuWhI+MMpnJcMLueWr+HYqlM0XZ60gQ8zgJupkH2DzmTvVujflwTgy/7Elkaw76TitKYRFKiLWbaSa4Hc+E2CbJZ1i36LZ/Pp5+XiKBE/U419VRJZkzbLxVX8j/5W3RBsk1lubbs1zwXlefG/F0iQGbfHdM5kPM28Z7VCM2poFQqMTAwwMDAgI4i2LbN6OioFpamUinK5TKXXnopw1vvZmTnI4zseJh5L3sntXOWMvDEJrDLgM2BW36G5XJTKk5M6c3n2PO77xKdNo9V7/8vfQPk83l++tOfTtlqXDpHSk7VZOwANTU1RCIRAJqbm3WkxNS+CE7097MJpZSuMiqVSsRiMUZHR/X/QqEQqZQzDTcUClEqlWhqasKyLA7d/kvKxQJd9/6O2Lzl3P3PryQ90MXy6z5Hx3lXcv6nfoY/1ojbF3CqvR76E0opxg/uYPpFr+LAn37KwVt/zllv/ihKWaxbt45bbrlFkzgZLCgpskKhoIcRViueqiiXnWnaArOCySQylREYqbSRsls46jhUGn/BunXr6EmVGEoVGEoVWNwcoS7oYTRTcKy4gt0DyUkmvWTDE71x6oINXDCr/oR25C9BAPx00NTUBMri4KhTIdk1lqGmxcMfdg2QK5a5YFY9s+uC1AY8hL1uff66xpzvfDSdpy3q58h4lh39SZa0Oin0E/WkqVzQzWoduV4kMi7XikRHRCAsXaWlSjWbzRIMBrVmy9z/qaSezOji8ciMaHokvSTRSXO0R2Wa1TwH5nGZ+hlTBGymnab6KdGsitTTMXhhWw6exigUCuzdu5d9+/aRSCT0VFwpVbNtp7mWhJ3b29tpW3UJtbPPouP8l+Gva6Fuwdk0Ll7LWW/9Z5TlwnK5WPauz6LcRxdJpSyiMxailNPY7uGHH+ab3/zmJCOklCIQCOjUEjgMVvKp0la7oaGBmpoafD6fJjbRaFRHZl5oSNm4VF7JT/kcgUBAq/cDgQC9vb2USiWWvuPTNK+4iDlXXAtAdmQAZbnIDHWjlKJmVif+WBPZ+AiPfuPD9DxwC7ZtM/NFb6DjPOe76Ljg5Vgu5706OzuJRCKTiKCU48o8nmw2O2kRq+KvFyZpkU7B8jA1NPK7GPDK6g0zUnO8MHxHRwcz60LUBT3Mbwzjdlm0Rvy0RHyc3V6DwtF5rJkWm/Q6l1K6p8zx7MhfK7q6usAus6K9ho4aP3MbwpTLNvliGQWkC86iWR/04ve4SOeL3L1/iL5kDgXMbwwxtyGE362Y2+CkrcSORKPRkzoGuRYkqlFZESfkxrxeTBGuRARFHmCmsip1WycLk8wIcRBIYUg2m9W9lsRGZjIZXcghRKdyRpVZIDPV5zXF9eKUSxRI/ieOppCqysHHU6EaoZkC+XyeXbt2MTo6Sjgc1p1AZZCYnGxZEC3Loru7m5aVK7ng07+gVMjz+Hc+Ttd9v8MuFvDHmtnw+Ztw+QIE6pppW/0ibrn+fIr5LEvf/inCrTOxbZvHHnvsGMYvZCYajVJXV6fDjNIwTxiy9IGRnir19fVEIpHTLmUiomGv10s0GmVsbExXGpk9bjKZDJs3b6azs5P2817G9PWv0Bfz+s/8L2MHt9N+zuUUi0WGhoYIh8Ps/PG/0XP/H2Giy8S+m7/Pgdt+QTmfoW7+2foYQqGQLuEWgy/zePx+P+Pj40QiEdLptBZaV/HXDTHI4thIGFw6mUqDSVPsKcSmMjX1VOjq6mJVSwsvXtBMoVTmvgPDHJ6IFMQCXi5f2IzX5aRI2msD/ObJXsplm3NmxAh4XMe1I3/NkP40c+uDLGiKaNJw6fwmErki02oDk+zIQ71p+icaFtrA1t4ELgvKZWgMHXVGp7Ijx4NJcmGyUFh+yogZWVPkIQUemUxGO4FS8DEVUT4Zm29ek5UtBorFom6EahIocd5NQn4yWpnjaWvM/5tiaTlPQrJEjCwtU6imnE4eEpkZGxsjEonoMQDmiTVLLyVFsWXLFlavXo1t2wxvf5Du+252utdaLiId8wg2tmG5nbI75XJz0X/+jvRgN7F5yzU7rxTnyZdsluwFg0FNcCRvGovFiMViOq/p8XhOSzIjENFwW5vTTlzKYYPBoM4ly/C///mf/2H16tW0tLQwMDDAwoULCbbOItIxVxPLvr4+Ojs7qZ29hJ77/4CMRQAo59KgFCO7H2V07xaGdzzE6g9+nVDbnGNCxpJakMqndDpNbW2tLqes4q8Tcn+aIl9z4ZDIjJCZSqMvAk6xI09FarZu3cqaNWuwbZvu8Sxd4w6ZUUDY5yLic0+MLrDxWIqXLmomWyxTH/Qe1478taOyP83Q0BALFy6kxuehLug9xo7Uh0qa0AhKE1/ZUCpH7w//kUT3Ps75yLfw1bed1DiEyt5kEhk2rwdJI5lCW1MYLHZRRu7IGgBM0uacCFORGfNalmax6XRaby/XfiVheqr0qfl5BabOp/IzinMua4CcC9EfiRhfPYUxrhIaA+Vyma6uLpLJJIFAQHtdZklvsVjU1Q7yf4ClS5fSdf8fefyb/0jrqkuJzlyI5fYQbpvNjv/9EkPbH+Ccj3wbgNz4MO5ghLr5Z+sv8kc/+tExaSaZxSQTrsPhMJFIRJOXcrmsm96ZX3o4HD4jFuBgMKgnYGcyGe2NRCIRamtr6e3tZXx8nPvuu49SyZlevHHjRm2YBgcHWbhwIXOaY7gtxZyXvpUZG17Jxo++guzQ0QF5sy57M/Ne9nZufc8GUIreh25j4asXMH369EnHY4ZN3W43Y2Nj9Pb2EolEiEQiVZHwXynMNBKgx3eYfWhcLhe5XO6Yvk7m4mHO4jkeli5dyp7BBI92x5lVHyTq9xBwW7gtxSNdYwym8pwzPeakvItl/G4XIa/7uHakCgeVQy2nsiOz5i/C7fGwtNXDoqYIv93WS6F8dEHubA4zO1Bg4+Y7UZbFwOP3MOvFbzzGjjwVzPSlVDe5XC58Pt+k6iVTBGvqbirLpOV/Es05kTjYJBEmEQf02iaVvEKgKslYZXTGvDcqyXzl9V6pK5rqdfL5TX2OeQ6UUsfVT1QJjYF4PM7o6OgkZbnMN5KQVzKZ1CXb69evp6Ojg66uLmbMmEHvTb/BLpcYfPJ+XvLdBwB45L8+gF22Gd3zONnRAZI9B7j/P96JN1zLpf91O8rlZtu2bcdMqDXL2EQM5ff7CQaDeux8Y2MjgUBAh8IrG9+d7pAJsqFQSB+zCK9FbyN9YST3bBqmyy+/nCO3/pRdv/ovYvPP5vxP/gR3MELbqkvZ/6f/AcAfa2LxGz/EI1//B0ARqG9l5iWvnTI0K31GwuHwpAoDGT7q9/vPqPNbxbMHMbZmub940uZCIuJfs4OwOYi10mM1S7TFjuxM5LGB/kSOly12qvju2ONUOvXFsxRKNn2JLJsOjhDyuriyswXbtqe0I1VMjUo7sn0oy56hFO01fi6Y3YDXrWir8XNoYtZTxOdiSUuUBz73drBtgk3TaD/viqctxDW1JDKXqbIKTnQzMg/MTGNK2kVSQtLTS/YtP6c6JoMQTPod0AUuolmR58zrWDBVhNHU9Jif6USoFAmbxyb3lIikje2rEZoToVwu09fXp6eeypBGKduWsJ+Mdn/HO96B21Jkh7pZuWIFNhB5zXvxhGtoXXkxhXSCwSfvZ/7L303Pg3+ikE6w/08/wcZ2utsmxygXcng8XhoaGvRxiCBMesHIxSHlzX6/n1gsRjAY1KIx0dCcaREEqW5KJpOEw2E8Ho9W9sdiMTweD62trfT393PkyBGy2eyk13d0dDD05B9RlkVmIiKjlKLp7PUUMgm67vs9ucQo8a599D10GwCF1Dj+WBNwbFWXhHPHx8exLIu6ujqdvxZCG4/HiUajVVLzVwSTlJgpADNsL2kLWSRMAag51M9ENBrl+uuvx+X2kC3ZrGxuxrZtzq4pE/G5mVkXJFcsMZDMs6Slhjv2DpIrltk7nCSecVIAmUIJG/TMtNMN0ixOBJ1CCE8ndHR0sD9XQilIGg0LZ8SCYMORsQzJXInxnkMMbX8QgFI2hTdcCzy96lAzogJHe7xIRF4gaR6J4iilNMERWyT6LYmkmFVPU8EkHKYIuFgskkwmtTNppldN7Y8QDfM+MIXFZrTF/HmiNUn2Z3YKNu8tOW8ns7ZVCc0ERLUtXrnoKaTCKZPJ6IXuta99LX6/nwf/v79lcOu9zHrRG1j4hg/jq2mg8w0fxrIs7vzwlSS79+FkvxVgsfd333PeTFnMuPR1eIKOQM3s1ClkRurwg8Eg0WjUqaJqa9MhbQlZhkKhp9347ulCbgQzPPlsLejSV6FQKOD3+2lubiYej+sbxe1209raSiaTQSnF2NiYvtm6urpY/roPEZu7jPpFqwHIpxI8+IXr9f5dXj9H7r4Jf30r+cQIi97wERLd+wi3zSYWi+lScoFSR4do1tfXk0wmtVhPcrrJZPK01ig9X3i2+xadrjBD6FOVq5oLhVQ/yWvEKalENBrl9a9/PX6/n9t2DzKSyXNWS5SFDUFCHhcr2p3S4Jue6CFTNISXwJaeo9frwuaIHpz4Qnf8VUrp1ImpNwInvWym6GByiveFRFdXF6vOXkFPIkDrRFflZK7AvQeGwZl9i8eCI3/+Nd6aBkrZFJ1v+DDJ3oOEWmZMaUeOByEHEn2XhxAMk7xUni+5rkyiDEdnLokDPtXib5ILUwMqqfx0Oo1SSlcTyWuEXJik3LzehcxUfsap3tv8X2X5tXkdCFGDoxojIWwTz1cjNCfC+Pg4gG5gBJMbBmUyGdra2njFK17B+L4n2PK7/yYz2OX8b7R/EpNOdO8nOypTWW1QFigbPeJVQcuKDfq9RcQnF7dMWK2pqSEWizFr1iw6OzsnHe8zXUCeajESw5zJZLRAzCwNlA7CoVBIdyA+1cVdoksy9M/v9+tyvmg0qs99Q0ODDj2Oj49j2zb3338/S5cupf38l+mFw+3zE2xsJz3Uw6q//xLDuzaz/48/BtuZcrPj5/9JuZhn1Xu/TMOy9ccI+uRmTyQSpFIp6uvrdSns0NAQbW1tOoL319BJ2LxOREsmpZzyP7luT7Wz9JkAiYaapdlihKVfhywwIuAX0lPRFIx58+ZxzTXXMJDK8/CRMTKFEgrIFkrajgCMZQrkS8df7BVMGmvwQoqBzQXa5XJpXZ9Et8C5TmShTqVS+Hw+3aPHPH/PN6QKamatX9sRn9uFz22RL5ZZP7uenl/9Jwfv+MXEKxRbvvdJ7HKZcz/6PWrmLj8pYTBMjkYIITArfCrtrKSlJAUlFUjS8d3r9epiECEzpuMp7zmVeFecdhnlIb235DUmmTG/m8royfEiM1N9dhOVqSZzX5XpKyFisqvjnd8qoZlAKpU65ssU5js8PEwgEOBVr3oV6cFuNn/jw2QGu4jOWMi0C19J5+s+yO7ffIdU70EazjqHLd/9BLg8+OtayI4P0XHeFUzf8Gr2/+HHtKy4iLZzXozbH8K2bbZs2aKHj4GjAvd6vdTW1lJXV0dNTQ2tra3PmMAISclms5N6Z8DRqJCUAkr3Y7P9toRApRdCIpFgcHCQQCBAOBwmFoudcjWQ6GVEnxQIBCblUCVXHAqFdJdh6Ykg1QuzZs0iFovhdrtZ/YGvcv+/v4MDt/6MOVe+nf1/+LHzRgrsUhGURSHjnPPKwXzmDTw2Nobf79fC7Ewmo6dxi0H+S1y4K68T0Wglk0ltWIW0yEOq8aQBWCgU+os5P0JGzCiNqaGRz28uSKZBloXd5XLR3NzM6173OpL5EvcdGKFQtmkIeWiv8bO0NcqW7jFyJZtav5vHesZxK4XHpcgVy8xtCNIWDbB3OMWMWJD2qB+3y9J25IUQA4sDBkfTSzJCBSZGtkyMQBFCY9v2pG7lQnISicQxi+fzAbMKyrQj582q5559w+wdSjGrczXdE4RGWRZ2uQxKUcymp7Qjx4NJOszFWyIS5pwnEQwLaTG7AlcOSBVnQ85r5XsKTC2Y9NsCJvVUg6N9cyq7AMu+TG3PyWhlZJ/HE8ybJM+0K+Y2xhpYjdA8FfL5vO74KzenRCeGh4fJZDK8/OUv59DGX7P1B//ivMhykTiyh2TPAULN09j1q6+CshzqqCyUXebiL/6Bez/1errvvZn6BStZ88Gv6feUReKuu+4CjpazeTwempqaCAaDRCIRGhoadOffU4G8j3TBlYXHvLDk5hkZGdHtueX/Qm5MYZh5YQoRTCaTxGIx6urqTqkFt/SnkWMVzZCk/MxxDn6/X0cIZADd6lWr2PbTz2OXS4TbZpNPjDK04yFW/v0XueBff8mDX3wP+fgIc19+HbHZS2hcsk6Had/xjnfQ1dU1qQ28EMyRkRECgQA1NTUEg0HdcM/j8fxFdRKuvE7MnP74+DjJZBI42sK9XC7r6Bw4xkkGncr3ls/n/yJE1OYiYIbj4WhrBVmIzaiVvMa8b6666iq29yd5oi+uk9HDqQKj6SJhn5udg855nl4bRKGwFVy9uIXf7ehn33Ca5kiA9bMbJh2baUeeb8jMOBlk6/V6j0ZLJ8iN9E6Bo+crHA5rzZp8hubmZh39E/L8fEHsyKrVq3nkyBhet4VbObOyusazrFt7OefWxHjkKx+gmE6w6HUfoGbGIho61zylHTke5DqScyPXjpnSF+KTzWZ1usWc6SRN6Vwul9bXmBVBQkIqK4nMDsCyH7NiV7Yz5ywJmTGv58rU04lgRogqIzJmRNNMmZnExtAMVQnN8WDbtp7rIzlIKVsT8VWhUHBa9Q/3QtkGbCLTF1BIjJJPjDoX9uK1pPoPM/8V19Nx7ksINnbg9gXIDPehXC7SA13A0TDf7t27ueuuu4jH45qVy2ymUCg0Keohi8bTRblc1lEP6Sx8vHMgi5GQBPEAzEGVlSRIbo50Oo3f72dkZIRcLkdLS8sJBWpTQRZD8ehkyqzoZ8Sbi0ajusSwVCpx1VVXcfiuGzhwy08BWPS6DzH9wlcS6ZiHsixic5dSTCfALtP3yB0sePn1zvEXsozffxN185ezatVqVqxYwfDwMIcOHWLTpk2TpirLeYxGo9rblKGbZzrEOxZSL15RsVhkYGCATCaj0wNiaIX8CPE2qxGE8Mm+/xJE1GabBrMqpTLcbupqZEGQnwB1dXUc7nNGfNg4jdrGs0WKZaeXTF3QS75YZmlblOmxADV+DyhFrjDR1Tbv7GsqO/J8IhgMEgqFJrXsF2G/XCOyCEpvLNHXmNeXpOeEPAvR8Xg8Og39fOGqq65iW1+C/SNO/5U102qZVRekMeimnEnQsGgthXQcymUGt25izkve6tjATIKx+26gack6Vq1adYwdMb8buQ9k4ZbzJIu5nA8hJkJqZM6ROY27XC5r7QugI+wmKq9TibRLxNF0RMzIorkfc9SHmfoxr/lKMmT+v9IZfqqf5vbmdWE6Dqpatn18SPpC8pOygEoJrzxGRkaYe/V1FHMZBrbcw6LXvp/Gs86lmE3ji8aITl9A/+N3U8qkCLXOItTUQTY+QrhtFpbby7yrr9eh4d/+9rf6/WUuk8/nw+fzEQgEiMViupdMLBY7pbC9EJNSqTRlGFIghM7sDjkyMkImk9FRElHSyw1n/i03nJALpRR9fX20trae8rA0eR85N6lUilAopL+XcDisvTpwFonkjAX69XXzlzPvZe/gvs+8hSd/8u8se8en9TmMtM/R2+3/00/YfeN/g23z0h89RvLQDupaptO4ahVLly7lJz/5CdlsluHhYaZPn66jWDLA8lSJ5umEUqnE0NAQ8Xhck1dJ8/X29mpdExw1bJJaAMezFa2Rz+fTKQgzfC0i6jMVld6qhOBFHyJ/y0JT2UbexMjICGe3NQI2g8k8S9tqqAt6KJXB57Y4b2YdfYkc+WKZWMBD0OsmmSsQ9bvxeyzmNYantCPPF+QakTEsYrdE9ycRF0mjyEIki608J06BmVIwz3EgENDXYSKReF6Ew3V1dZQzR6NCDWEfs+tD3PVPL2d79z5W/N0XtXojOn2+3m7Xr7/OwTt+yf4//IiXfPdBxg9so75jrrYjlZ2E5TPLuTFTOuZoBFObJs6dZVlaZ2h0zp2UHhJUkhmpkDKF7WbzPFMbZkZpzOcq00byPub7mc9VblNRfq3XEPOeqexcLK8T2/RU+KsmNLKY+/1+7XFL11ohNmLEf/e73/GOd7yDxW/8CGe96R+xbZuxA9sp5VJ4I6u579/eRrJrH2Bjef1c+G83MLL7Ucb2bwO7TG58iGBTx6QvyhTSud1uPXdJvH6J1JzK55KQ7YkiCOJ55nI5RkZGtJceCoUmidFkv+l0Wt9UQmwkZ57JZCalahoaGp6xhkKMpcvloqamRpd1h0Ih3Zp7ZGSE5jlLecn3HnLC3iFnvkqiay/Ksuh95E4CDW2k+g4xsutR7vzIVdTNX0HbmsvAtqmZ1cmhO/6P7T//At5wLS/6+l14PB5WrlzJ/fffz9jYGPX19ZpUSZm5tME/E6MPEpU7cuSITvHJ4iyl6+VymWAwqF8j3riEqkVfJEQvEononkKSkpP750yOZE0l3pTIbaVHa4qAxUkyjbvYkdXTYnoRG0rlUQq8Li+37hrQVU0uS3HlohYOj2UYyxSwM1AsOx2Cn09tktnNVkT88j37/X7cbreOHIhNk4VarhOBHLd5bmSxNGdkyQLn9XoJBoNkMpnnPAU1MjJCa3MzrzirFZel8LgcrUyq76BjRzbfQaChjexwL72P3EHf5o00r9hA/cJVHLz9l8TmLWfXjd9g72+/R6hlBhd94bd4PB4tGDbtKHBME8bKiBYcbeIoC7msS3K/ilAdJjeAnEoYLCk+ITVTpZnMyqpKciKpIJPwmO9XGZE5HrmpfM6McppRqcqUmdGYsppymgriRcoXJXoNM8wnJ76np4fvfe97XHXVVTQ2NpId7uW+T78RGwg3zyDZtVfvt1wsUi7kaF6xgdjdNxFs6iDY2I5S6pieM6JVkKZ4Iprzer162vTThUSdnioyA0cJXTab1eXQItgTAyYVTmZvACFMkv6RdJTP5yOdTuPxeBgbGyMcDmtx4KnC4/Ho6dulUolIJEI8HicQCBCJREgmk9x88838zd/8De5AeNKNtO6ff0T3/b9n7+9/iD0x4Tw9cASAZNdeZl36Oq740aMol4d9f/gRoChPbCfl4nJOBgYGaG1t1aMaztQKJyEkiURC68MkGijXvLQrUMopYZcGiEJexZim02mCwaBenERgaJIa0WTJJPUzEXKPCuEziZrYDyHyUq1jLggmKu1IPFdi495BbNsZbWCWaJfLNmXbZnptkK6xDHVBL16XYw+ez54zsriEw2Fd3QhMisyYaTjT25cUipwn85yYDdOEDElljziToVBIp6Kl8dtzBSGbPvfR+UgoxXmf+AndD/yBA7f+XNuRVO8BAJI9+7jsv+/hyh8/hnJ52PGLL4KCcsGJHpuCYbNTtDjRklYx0yvAMedSvgMhOmLfJdIi51K6xctrKzUqAonIm4TELAc3CQscJbVmWkr2a1Y7yWOqNJMJ83oRmPsWe2NGQ83H8fBXTWhEIyHMVTQjknqR9IbZyfMXv/gFr33ta6kP+VCWC7uYJ9Gzb9J+LbebP3/81cy94u2c/6mf6ueLxaLuFWGyaBF1yZco/VhOhQwISTmZdIhUrojxkfCjCH3NEHAwGNRqezFOhUKB0dFR7amLQRIR7/j4+LMyBykYDOqogBg8iRz5fD6Gh4f50Y9+xEte8hLq6ur0cMnItHnMir6JPb/93jH7VJZFeqSPmpmLAJh9+Vuomb6ASMdcfbMNDAxM6hY9MjJCfX09gUBAL+ZnEkQLJBVs5oIhKcp0Ok0qlZo0KE4iETIJXfL2cr0GAgFdOiqaKtmv2+0mm80SCASeMvd9ukMMvoT1ze6sslCZlSeVqOwILHYkWt8EKGxs4rnJEQiXgpu397GsrYbLFjTr50078nxB0owSffL7/doeyLkxvWohtMCkRdv03k3iI46cPCcRYFmgRRYgpPu5gEk2TTtSO2cJnlD0aLWkCcsiPXAEf60z/HbBa99Hw+JzqJnVqT/74OCg/l0WcLN6yCQdcm2ZYlhTDGwSBlNnKE6xeQ7l/pVt5XmZom1+F+K4mWkr024LyakkSea1bhKvSjJvfs5KcbBJmmS/lb1oxN6cKPX4V01o5KSNjY3pL1cqdqRC453vfCcuBckju1ixfBlLly5l3759tLUtZtX7vkw+Mcahjb+iXMwztncrAOW846n2PnQbna//EHC0kmiqAZQStrVtm9raWtra2qipqTklImBGnZ4Ktm3rz53JZBgaGiKfz+twuiAYDLJgwQKampr0cyMjIxw6dEgr5MVL8Pl8+P1+HbYUL+uZphtqamro7e3VTQTD4TDDw8N6oGU2m6W/v5/vf//7+qaKRqO85z3vwV/biMsXoJR1IgT+hjbmvvRt7Pi//+KRL7+Xdf/8Q+oWrKSUz7L1h/9KPjnO+s/+imCj41WJbsfr9epS7Wg0qkcjnCkwNVUSeZH0gIiCk8kkSikd3jc9NQl9y0ITDoeZPXs2tbW1muyJeFsW9il6ZJyaqOoFRqW3bBpWufal2sRMzwikI7Dl9pDIl1jR3GzYkTbOmRGjZNvsmahwGk47UYDixJpwZCzDouaIfr+p7MhzBUnvWpalSY1EF4BJZEacM4lWmYuY1+tl9mynmSUctT/79+/XFXRCgE0CI46TEGm5Zp+rSE1PTw/f/va39d9iR8KtM1Eut9P2AYjMWEj7mhez+zffZtO/XcsF//pLotMXUEgnePy7n8Aul7nw32/AF60/xo6bEXBp2lkZvTIrfUx9jNxPEn2XNhdih0WPYhZlSFWT3Mdyn8p1LREWcz6UWZJtticw01KVz00VkTRhEhp5+P1+ZsyYoRsTHjly5Jgok0nyJq674y6MZ6zH9EwhJ6pQKJBIJLQBNm/QdevW4fV6eezrH2LTZ97C1u99Ar/fT2dnJ/HDu3j4y+9ly/c+SbBpGoXEOB0XvJxQy0yYsNvpoW56HrpNRz9McZhcLDKfye12U19fT2trqx4+eSqQqNNTQUKXbW1tNDQ0MDY2pi9yufDLZad/xGWXXUbHjFmEIlEi0Sg1NTXMmjWL9evXU1tbq3PnEu0RDZKQw8pxBaeCYDCob1Sfz0dLS4suDxcjWFmFFY/H2bZtG7Zts+xv/gV3MEzDkvO44F9+Tsf5V2EX80712WC3s8CP9JMe7KGUyzB+cPuk9KBUlMhnHB8f13n+MwGmpsrj8WgBtyy+yWSSkZERxsfH6erqYmBggKGhIXK5HJ2dnVxyySWsWLFCj6YIh8NcuOEicsEGMq4ATU1NzJs3T0eypEmXGDjxMM/0CI2pIZAIV6WnKWW45oIkduTuAyPcsWeQJ/qS2o4MJHM8cGiUhw+PEvK6yBXLTK8JEPYevYdHM3n6Eo5HPTQ0dIzI9LmE6NfMlgmymLndbjo7O7noootYuXIlkUhEO2YmCfT5fJx33nk0trQRDIcJhcPU1NQwffp01q9fT2Nj46RFVMiTbduEQiGCwaC2k2IHTpR6eLZg2pGz3vIx3P4QLatfxLqPfp/2864E2+lHkx3pQylFuu8Q+cQohdQ4ya59U8oMzHJr8zzJ8+VyWdszOZ/SKkGiMOJ8mpojs/FjpchX1pNMJqMJCTCJNFSSmUqnRhxY0/YdL+VkPgKBAIsWLWLt2rUsXLhQR9pCoRCrz15G9vFbKPTsor29ndWrV+tqYyEwcs+ZWYPj4QWN0Cil6oDvA5cBQ8BHbdv++RTb/Qvwz4AZa1xq2/b+Z/L+QjSkqVA4HGZkZER3/JVKnVIuAyiKmRSH7vwVkfbZxI/s1nnSrrv/HwCp/kMoy0X7uS+h75E7KOWz9G2+g7Y1LyIejx9jhDweD3V1dbqxXGtr6ynrZgSSInkqBINBxjIFirZFU1MTGzZs4Oabb9ajHeT1CxYsIJG3uWNfP5ZSFMs2DSEvL5rvHOOaNWu444479MLo9Xr1uRSv4dkou7Qsi/r6egYHB/XMqpqaGu3ZySIqkQfxfu666y6WLFlC+7or6DjvSr0/27ZZ9/Efkx7oon3dS0n0HOC+z7wFf6yJaeuvpmXFRXrxkO/CjEQJaYtGo8/4sz0fMDVVQljFuxofH6evr4/x8XEdVSuVSoRCIa655hrieZt4vsT8BfXMnTuX3/72t1x88cXsHU6xpTeObcMrl7ThdrlobGzk4MGDemBqZZTmTIWpAYHJjfXMeWumDsLU33V0dDikbmJyc75UYu9Qirqgl75EjtLEdofHHPKfzGewFMyKBTg4mqFsQ288S0vEP6mT+XMNITEyYkUWWaUUkUiESy+9lHi+DMpi1qwY06ZNY+PGjdrDFsyZM4fhTIm7DwzjUopC2aY96mf9nAYsy2L16tXce++9OuoikQZZWD0eD36/X49HMc/t8wGxIzMvfR2zXvT6o+cnEmPtR75NITFG0/ILGd2/jQf+83r8dc3MuPg11C9aTbk8eSSFmXYynT0zpSJ2TFL5SqlJZEK0MzJvMJfLTWpkaEZLzEaPIiI2Rb1mlN0853KNV0Zx5FoXkiHHbn4f8rs47Oeeey5jux8lfuAROs5/Ga2trTz88MOsWbOGPTd9iz03fQuAK3/8OC6XixkzZrBr1y5NxMxo0YRjdNqKgr8B5IFmYDnwe6XUFtu2t02x7f/atv2mZ/PNJb0kHRmlrE0ugO7ublpaWlj9ga+x97ffZf+tP2Pg8btRlkXD0vOP2Z87EMYTrmH+1dcxY8Or6XnoVuZd/S5KpRKHDx/W2ymltHpfPJCGhgatUzlVmDnMSgir9/l8ZItlbt8zCCjWz66nMeShs7OT+++/X4s90+m005W3bKNQlCaM8VAqzz37h1g3sx7Lsmhvb2fLli06py7C4EQiManj7zOtBIpGo3rmiJy3aDSqRa3ieUgVlKRYfvjDH3LttddqwmPbNsO7NvPYN/+Jmpmd7L/jFxQS4+Tjw84bKYXl9kzyMsWg2LZTGWQ22Dvdq5wqNVXS/VlmuPT09GhdjXhBPp+PK664ArfHy8adztDPYrmG+Q0hXvGKV9A1nuXRbmdRjfjcuF0Ka0I0KlN7pfmhVHJMGLkztm2weMNmLxpJMYlHKQtDpTiyq6uLlpYWLp7bwJN9cfYNpTg4kkEpqA8eq3XzuBR+t4slbTVMiwXpi2fpbI5QKpWeN+2M2+3WHbLFwTG1MQsWLCBdtLlz7xAAl85votbvZsGCBezatUtvD07KeKTo9NERUtcTz/LAoRHWTnei0TNnzmT79u2aCMliKh66RIay2ayuwDTt9nOJ49mR/sfvZusPPk39gpXs/cOPySdHKabiFFNxPMEwyrLAto9JD4p9rrQbQhyEJMvnlXvILGuW0m05FrPDupwPU/citquyGqlSMyPntfK1sr0ce6Xo3dxG4PV6WblyJXY2xUNfeJczAshyMe2Cq1m7di2H7/w/dt/wDcCmZtZZoCwspfTIm8roj/Hz9CM0SqkQ8CrgLNu2k8C9SqnfAm8G/um5fn/LsnT/FQnDDw4OkkwmtUd53333sXTpUnyBEGOHtmsdhq+mnoFHNwLgCoSZd+XfEGqdQUPnWnzROgDC7XNoWLxWhwLNeU3S30WEv+FwGK/X+5wNPCyXy1roG41GKQvDtm1clmOYY7GYHh0vaQWXy0VjxMc5M2K4LcWDh0fJFst0j2cZyxSoD3lpbGykVHIGNtq2TV1dnY7UVIrGngksy6K5uZmenh7S6TSBQIBoNKrLhU2tjtz85XKZnp4evva1r7Fu3Tra29tpbm5m3+9/QGawm8zgsYtD1z2/YeGr/g6lFI2NjfqmMhtgSdmkUopkMnnKeqfnA5WaKomUxONxent7dR8ZIfN+v583v/nNWB4v8WyBoMdFKl8i6nNTssHldtOXSADgdSmuWNSsjc/IyMikCsFKnK7n6GRgDqQ0r6/KxVQWWUmNAGzdupUVK1bgdbsZTOYpTdj8kMfFYMrRy3gsxVmtEYIeNy1Rv65mCnpctNcEjrEjzyUqBb1wtCW/PGKxGG4jCuOaOCe1tbX6GvP5fMyZM8fRSXi9WErhdcGmQ6MUSjYHR9IsbokS8bl1s0x5L3lfsc+i3wImRYCer7TvVHZk943fIDvcS/emm4/Z/tDGG5h5yetIp9PHRNTM6IlACkMEQuREZC8FEPI6cxilEGmz8Z3YXVNULETFTOHIdqZ9M1NNldoesxLJJDHm+wkBvfDCC7GzKdKD3XgjdeQTo4RbZlDKpnH5/AxsuQeAQEM76z/7f5PsiNmx/uk4jS9khGY+ULRte7fx3BbgwuNsf5VSagToBb5u2/Y3p9pIKfUu4F0A06dPP+6bC2OVKozh4WE9S8S8cbMj/Rx+6I/MvPT1WC4P09ZfzeG7biQ7OgCA2xdg/iuuP2bfpVKJwcFBDh8+rLtFimBOwqg1NTX65o1EIicssz4ViEZCetJkMhkikQhXdLZQLJWJ+p2Kod7eXp2aiEQivPXatzOaK1OyYVqtE87MTpSURnwuYkEnitHX16dDnlIdI+XnJ5PzfDpwu920tbXR39+vu9RGo1FdIi4LTaWRi8fjenDcxz72MWZf/lb6N2+ctE142jyC9a3MfslbALQ3bEZoZL/itbjd7tN+UKWpqZIFOJFIcOTIEUZGRrSA8JxzztEpVq/Xy+93DpAplFjWVsPsuhDj2QI3PtFDwOPikrmNeN0WHTWBSZ7Ujh07tGhbqinEGE1Eu56/PMEzhGlH6urq9Pct3715TVR+LFlwXS4XoVCIN73pTaQKZbqHEyxuDrN/JMPchhBP9o7r1wQ8LhY2OSlMc8GzbfsYO/Icf279WUULZIp8ZaEdHx9nRm0tV3S2YNsQ9jnnZnR0FNt2Wj+sX7+esrIYThdo8sCMWIBi2aYwwejqgh7CXpdexExdoyxmkhIRIinOoGgfxXl6PlBpR+Zc8XY2f/UDk7apnbMUbyTG/Jdfh23bHDhw4KT2LZ9benqJc2YSO9O+mdEcea3ZgkFeKwRDUlRCbsw5baYurDIyLTbDFBHL6yo7BgcCAebOnatlFBY2t3/4CorZFMve+RlaVlzEyK5H+eM71xJun82aD/034daZtJ97xSRx8e7du3WfJ6n+lXTuxHGdfhEaIAxU3p3jwFQtRf8P+A7QD6wFblBKjdm2/YvKDW3b/s7Etqxateq4BlS+3FKpxPj4OPF4/Bg2et5557H9R59maNuDRDrmctF//AaAkV2PMrj1PnzRela85wvyvjpHKc3pKo2QXBASXZBcqMfjeVaa0Jn5RrlAxPuWssju7m7mzZuH3+XCmih/LhQKPPDAA9ownHPOOWzuSdKXzNEUTnPRXCdSsWFOA/2JLIuaoygcg/vggw9qD0I6e4qoD9BttZ8tSH+YeDzO8PAw0WiU8fFxvF6vzikDT6ndKRdyoBTYNnULVrH4jf9AqGUm23/x/5Ee6NKeydatTtVa5Y0MR8vufT7faT2o0tRUlctlRkZG6O/v1wuI1+vlTW96E5bb+f5cyvlsxbLtfMdlG6/bIp51iGm6UMLjsji7vRY4St5/85vf6HJ9mYxuGsiJc/fct3t9lmDakZkzZ9qymEg33IltJl0XZlMwIXLnnXceXq+XP+8ZYjRToCns5eK5jSilODyaYTRTJOhxcc6MOr2vkZGRSV7v80Vm5DOZERoROUshgWiiDhw4QHt7OwGjUq5YLLJ3717K5TJz587F7XZz+54hRjN5ptUGOHdGHW5Lcf7MOkYyBTonKrfK5TJ79uzR7y37koXYHNgoIlNJs0iriRcCZcNZa1p+IYte+z58tQ1s/8WXSA92E5u3nLlz5+oKnhNBrichKeZ9K8+ZD3mNVJYC2rkySYdEdMyKscr3lEiuWVUkr5/qp5l+kujZhg0boJjD5fZiebzYpQKlCVtbLuTwBCPEj+xBWRbJ3oME6ppZ/MaP6OMol8ta9iD2NZ1O667xcHTm4fHwQhKaJFCpqowCicoNbdvebvy5SSn1X8CrgWMIzclCGoaNjo7qpl9CSgQdHR2ML1zF0JP3Uzf/bP18w1nrOLTxBppWbqBh8Vq9yI2OjjrstJijnE2yqqL1tXzx0WhUL8B1dXWa3DwbMDt2CssVZXw6nWZgYIC+vj46OjqIxWIMDAzw4IMPMj7ueItKKTo6OtibdkJ8buto7rIl4qM16tef96abbtIt88fHx3XuU7wFERI+20McJbQtuhrRKchNeKLw5LaffB4mPsOKv/0PSvkMhzb+miN//n8cvutG2s99KZYvyNKlS+npcTQk4sGIsNbr9U7yUE7HQZWmpkq8576+Pp0ezOfzrF27lgIWt2zvRwEv7Wwh4La4fEETY5kCdUEPh0fTtNf4KNu1RPxuvG5LV37t3LmTzZs3k8vliMVi5HI5BgYGnDbyEwuTUR5+ZpSFTQE5h6bXalZgmIuRGbpvb2/H5XLREPIyminQGPJpZ6Ml4uXIWJrpsQD1IeceHR0dpVQq0dDQQK5UxsZiVWPjlC30nwtInycZOyJl1DJhXYhFMpnk7rvvZs6cOdTW1jI+Ps6ePXu0rqympsaJ7kzYD7d1VFPUURtgWiyo7ci99947yf6Y/VPcbrc+l2Iz5XmJ1Dyf855MbP/Zf0z8plj2zn+lmE6w7w8/puve39B1729pP/elkzoFPxXkXEilrRAGiUoBOjojESxzW0lJmoQaJs9ukohXZfdqUyhspqhMjY5c02JfTU0PwNy5c0n37ufeT70Oty/IJV++BXcgzIZ/v4lU/2EiHXPpeehWpl/8alw+PzUzO7VWMZfL0dPTw/79+7UDLBFOM+0mGs2nwgtJaHYDbqXUPNu290w8twyYShBcCZtnKDCUzqairJcvzbKcwXuhUIhowEvccnHuP/+QxsXnUC4WeOiL72FkzxZK2RRH/nwTy679lDNO3rZpamqimMtw14evoJRNs/qDX6P+rHX6grYsS3fbLBaLBAIB6uvr9aTaZ8PD9/v9Or0lfRuE6cbjcZRSjI2N0d3tlCtLV1j5/K2trTQ0NBAt2sxrDFEfdC6gvniWh4+MMqchRGdzFNu2Wb9+Pb/+9a+10FTSG8ViUY8H8Pl8z9kQR8tyJnSfddZZxGIxurq6GB0dJZ1OH1csmM/naV17GXtu+g7emnoe+eoHGNu3FU+oBmVZeIJRbNvxBM4+2yGx4h0L2ZXvT25oiUydboRGYNs28XicgYGBSdUS+XyetrY2cqWJ6x/IFkoEPS4CHhdBr5tbd/UzminQXhPgvJl1kxb0G264gZ6eHl1ems1mqa2tJZ/P66iZiGgnrvEzJkJTCSEzpgZB7lnxfKe6fwcHB6lrbCbgcXHpvEYawz4KxRJ/3j/MaNrR0+wdSrGszdFh1dc7fUuyhSJ/2DlI2ba5ZF4jtb6TWxhPFWKbpDWCRFwryYz5ubPZLNu2bZtUWSPnJ5lMEovFOGdGHal8URO2rrEMj/WM09kcYW6DM5dq6dKljI+PH1NSbEYApDWEMaBQi4NHRkaek3PyVMjn8zSdfSFH7rqBUOtMNn32baR6D+CN1qMsF/5YE+ViAZfXd4wdOR6ENMiCbjYTlOvMrKIz003m75WdfuV7qSzXNsmNGWU0h1eaImBTPwZHx32USiVqa2vJ7H8MqQbOJ8fxBCMEmzoINU/jjg9eTma4lxkXvZqz3vrxSSmmBx54YBKhlQego1TSAmSCiJ1+fWhs204BNwL/qpQKKaXOA64GflK5rVLqaqVUTDlYA7wX+M2pvrfcgKOjo8eI3yS3eO6557L3pm+x69df46EvvgeA3odvY2DLvRQzSSdlUS6x+ev/QNf9f+S2v7+I7b/4ojOgMp9BWRaF5Pik1tfSrt/tdhOLxYhGo5Pypc8GpA25WdooaSe5iKXTayWJCofDvOlNb2L/SJqbtvextSeOy3K22zOUJJkvsaM/yXAqz8GRNPUNDVx77bWTxHqiEZLQpiz+zyVcLhdtbW1Eo1FCoZBuyT4VDhw4wMLXvI+L/vNmLv3yLYwfcPhzITVOuVigmI7T/9hG9tz8A7rv+hUrV67k+uuvn6S8F7KYTCb1wLjTuSw5l8sxPDystR3pdFofb29vLzG/k/I4d2Y9dUGvNlSFUhn3hPGSdvDlstN3w7IsXvOa1+jzIhVmMFlgKCM1amtrX5DP/mzB1B2YWgZZfCQ9Yuqr5Dw81j3O1t449x10Kun2j6YZTOV147xi2ebhI6PsG0rym229PNE7Tn8iR9l2KgzzJXuSHXkuIA3eRNBpEhlTkwFMiqCYww7Fxni9Xtrb29neH+c323rZMZDAmtjHrsEkqXyJHf0JBpI5Do9lqKmp4fLLL9eFCBIVkveULuGmngOODsqUUQzPJw4cOMCyd/wrF33hd1z4uRv1KIR8fBi7VCQ3NsTgk5vY9f++Sd/9v2fVqlXajhwPklozrzWzrNoc9gmTKxbN8yOvNTu9m0THJBOm0ydRW3nOLOE2IzNyTJLyy2azDA4O0rhsPcve/ilWf/BrhJo6jtqRdAJ3wCGvnkjsqENQcsjbunXrdGbBjCyZREuuxXw+f9pqaAD+FvgBMAAMA++2bXubUuoC4I+2bctkxtdNbOcDuoD/sG17ij7UJw/pYivnRilFPB7Xw7va2tqgvJKDt/6M2JylADzx488BNv5YM+VCjnxilJ4H/sjQ9ofIx4fZ+7vvY3l9zHnptdTNW0bT8gspFov09PToUmOlnAnako4JBALPqlJfPJe+vj69eJnCTCndE/HZ8uXLqa+vp6enRxuIrb2OFzGYynNgOMWs+hCLmyPkS2VmxYLcvmfA0VfYNjNr/axevZo777xTh4DlM01cfPpCfS7Lm91ut05DHa+hXzQaZe7cuZRLRfyxRtz+IP6GVjIDXQAEGjvwRWqx3F52/eqrgE1s7jLC0xdq71jCvPKdiVcpkbDTqYRbDNDIyMgkAbyEdS3L4uGHH6azs5P2qE+nSwplm7F0jo37hrFxqpnG0nnKts2mQyMcGcuydnqM6TU+1q5dy2233TZpcKWUj0r1YF1d3XMieH++II6A2Q9DfheSKN9/5b3c1NRE2ufj0FiGhpBzDrZ0O95o2OciWyhTLNvsG05zZCxDvmTzZF8Cl1IsaYkSC3ppjfqf83EHQtTFLoluxlzI5GEunOA4avPnz6euro7h4WHHSVSKbX2OeqA3nuXIaJppsSBLW6Ns7Y0zuz7Ixr2DKEDNqKM96mP+/Pk8/vjjwNGuwbLAScTAFOdL2kXS6WYa5bmE2BG7VCBQ34rb58cTiVFIjIJSBBva8dc1kYuPsuemb2OXS9QvXIWvvvW4UTYR45vRCTjaLkCinTLhXFJxMlZEvhPpaC59aSRyI9cqTO48bEZZ5Dnzezb/Fo2oKYSXa2PXrl3MmjWLtvOuOpp2zSQZ3PYQj371/diWwu0NMLbvSWzb5v7PXcvwzkdY84Gv07h8PfPmzePxxx/XjoKQN0GFtuv0JDS2bY8AL5/i+XtwRMPy9+srt3mmGBsbw7IsxsbG9M1pVrF0dXWxatWlXPHDR7E8jrffsGg1PQ/dwsLXvJfYvOVs/IcrAJumZeeTHR9ibO9WyoUckbbZNJ+9QbPbzZs36/RLQ0ODLvMNBoN6YXk2F0IRqEqTNAlbig5EyMwVV1zBzqEMhws2y5cuw+ueGAhm2IUHD4/SFPFRE/CwYY7T8fKJvgTZYomQ160rjwT5fH7SFObnK3IhTeGampp0fyExAoJ169bhdlls/PBVpAePsOwdn6aQGAOcMvuL/9Mpv8yM9OP2B7E8XoJNHZO8Y3Mxk5ReoVDQeqjTidDA0ZEHYhiFgMljbGyM7373u6xZs8bpXJtTPHRkbNI+8iWb4XSBbLHMQNI5nwPJHLPrQ7S2tk7a1pzEXSqVCAQChEKhF0zn8GxAjLc4QEJqRKcm/58qzenYkRZm14WYkJPQEPIxkMxxdlsNAY+LW3c7s35mxAKMZ4uMpAuUbZvagEdr1p7LcQei7QsEAjoyIwuVkDVZZMXzN8nMpZdeyhMDKUZTirNnz8FlKcooxIyUbbjv4AivivqpD3m5aG4DpbLNY91xiuUyQa9Lt44wowrynuaoCTnXouESzY+ktp8PrFu3Dssucfv7XkI+PsrK936JYtohb3Xzz+b8T/0MgGTvASy3B19NC77ahqeMsskaJGk+QEe75XuQdJT0E5PrTa5Lsfu2bZNIJAiHnSVUIh0CGawqBMaMhMjrzdSUOCpmtZkZuQPnvr/11ltZsGCBM6/s9p+x45df0lpFylAsJhnYcjelfJbRPVtQKIZ3baZl5UXU19frY4Kjnbkrm8SeSJbxQkdoXjBIyar0ozGjCQD79u1j9aqV7P7d93D7/Mx+6bWset+XKRcLWsx0yX/dSm5smLp5yxyjk4qTHe0nOm0+tm3T39/PDTfcgG3bOh0iaSb5soRwPJv4/9l773A7rur8/zNzer33ntuLeu+SJcuy3LuxscHGFNOLAUMSIKT/SEhCSPKFQEK3Y9MNODRjbHAvwrYky5Jc1Hu9vZ/eZ35/zF377nMkWTKo2Ib1PHok3XvOnDMze9Za+13vepdwFoQwKyaOyONxhPSyZYMdA2kMA5ojPibVOt0DV8xsYu9Qmj0DKVwug8FUgfWHhymOPROXTm+gxu/B73GpnaPs8ORhEYVR/cE6lSYlrlAohN/vx+/3H+HgOjo6MGyLzEAnWBabvvOvmB5n1zzlynep1/nrmrjq9tUAamfS1dWlOATpdFqhbSL0lU6nX5WaNAIN+3w+ldAAFfCulAmCwSDDo0fW+A1gYWuUoMfFRVMb6E5kmdHg8C06Ox10S66NJNKBQEChkrIWX6umkykl2MM4qiG+Qw8aYnv37mXpsrPZ0hMn5HUzvSHEJdMbsAFzLHhcO6eZUtkiFnLk/vMli8KYpIL4kbvvvvsPJgT7fD7VoSX3C8aRDp10KQmNzp2R4AnjScbMmTMZzVvsHXK6jTpq/LREfLgMuHxGE/uG0+wdTON1mfSMiemVbWdNXTmzkZDPjc/tBOahoaGjCqnpiIHs0qXUJXw52bSdjsS5o6MDu5AjHx8C2+L5b/61M+6mXGLKVePar6GWybzh28+pczkeyqYnF3og19eWnlxLDBH0RZ4/STxCoVAFYV1HuPRSlV5CrEZt5DpLUiWvle8rphOKvV4vo3s3QxVgZnq9zH/fZ3D7Apz793cyuH09U696t+rsk829Lm4rz5hegnw5e3VtJ0+DycUTUqeUmgqFgoL0AK644goOPPZTdv3yG2y7+7+J73OgMtPtUQ9dsKFdJTMAnlCU6ISZlMuOwuPPfvYzdcyamhpqa2vV/CNdcfJUaJhYlqX4OeKE9N1PQ0MD0YCXprCPsNdNc3h84FymUGT3QAoLKJZtnj04nswAHBrJ4ve41M5x7dq16r06p0CmYstDcypN2sUFkpV7q+8uBwYGMD0+Zr/tkximC8PlVmKJky65iV333s4DH1rG4bFRFpLMyO5Yjlcul1VrvujQ6HLkrybTy6rJZFIFBUGZwuEwH/nIR5g1bwHposWithoi3iNbI6c3OARMy7aYWh/C53aO8dJLL1W0gkppIBwOK4KrttN8TfobfYerQ/Vy3pI0Hg2NvOKKK9jal2B7f4oNnaOkC2P8BG3zFPG5VTIDDl9J9KFyudxJSWZgXMpASL96J5M+g0oPqpK4SLlBdvFyHerr64mFfNQFvNT4PdSHfOpZT+WL7B1MYwP5sqWSGXBiXXcyj8893hW2efNm9Vk6cV3nlAifQw+uOon1RO1onTonagMDA3ijMaa+4X2OHzFd2MU8pttL+4o3sOVHX+CBW5bTu+Fx9Z6XGyoqSUB1aU/OSR+vAVQkSHrg15MRfTyHntToa/Zo+jI6d0euvXy2JFZyP+SchLx81VVX0RL1kxvsYuEH/xlf7dgMK/XYG0y66Maxz3N8rjvoiMnu37+/IoGR+yLxQz+Pl7M/KoTGtm016kDq+/J/fWfgdruJxWJ0Htwx9kZnXonc/OHhYVavXs2KFSuIxWIMDw/zxBNPMG3aNNrb2+nq6lK6Lo2NjQQCATwejyoxCVlW3wWdbBNNFmkzFmKwlB6ktfbSGY3qPZbl1POf3j9ckVxLLhNwm3hcBvNbIsoJ3X333YyOjirnKKUmaR2H06PmKQ5YkgtJrMC576FQiNmzZwMw47pbqJk4i80/+DylbAarVGDNf3yQZNc+Stk0h5+6l4kX3UihUOCFF16o6E4wDEO1jw4PD9PS0kKxWKShoQGPx/Oq0qSREqPf71cT5Ktbjc8//3xs0819W3uxgfoxzkZysBJR6Us5O8B1h0YwDIMbFrRiAjfffDPbtm1j3bp1ijfT2Nio1roExDEn9Zqcti2BTxJYXaNDUBs9cdSdbiwWY8t+rQtHg/VPxI+cTP0Z0YfSxdn0AColDAmwuhKtzg/TuRVDQ0PU1dVx5awm7RRtssUyaw+OKD9igCplB9wGfo+bmY1hVc649957K1A8veQkGzIY77YR5EjWs04ZOBHTn4FXYtFoVPmRee/6G+qmL2DrT76EyxfEKuZ59ou3Mrj9Oax8ls41v6H17MuP6keOZlUTpSuIu3KugpLpSKHcD0ky5L7l83mFXOnH0xEXKWPJdZbXCFdGJ2jr10u/boZhsHjxYoqjfTzxV9eCVaZx4Xk0zD+Xrmfuc+InYJVLDO3cSOLQbrb95L9w+QJcfftqbOCCCy7g8OHD7Nixo4LjJ8/ZsUpQ1fZHldCIEq4QyWRgpCwa/WaVy2XCrZPUe9d98SNcddszYDitlVddddURuhC7dzvd5wKBBoNBBZdls1mam5vV4pIbJqWLk2my8KXOKSSyTCZDPB7Hsiy2b9/O3Llz6Uvm6EvmmdkYHutk0Y5jwE0L23hk1wD5ksWVMxuxbNg9mGZyLEjIY3LzzTdz5513kk6n1UMigbO6Y+FUmTzQPp9PaazIjkcy/pUrV+LxeHjhtr+nc/VvaDnrEjL9nU6N1zAZ3rHROWHDpO2cq1XAqSbwyW4hEAiQyWTUVGkpc8ku6NXQwq07On0nqu94pk+fTl8qrwLPcKZAuuAgDaYxXgLf1B2nvcZBEsf2iZimM79p6dKlLFiwgF/84heExyYp6yRFUM76NYnQwHiAlQCso5C2bVeUc3Qrl8vU+t30Jp3fPbl3kDfObQE4rh852SbIjB745TnR1VglmdE7XOTcoZLHcuDAAWbMmEFXPMtwpsCsxjAel1nh07wug+vntvDwrgFs2+aqWc1ki2V29ieZEgvi0Y5dLW4qP5PP1RNLQZRk/pgMq4Wj85l0E/+oJ0snYuJH1v3XxxjY9AwN888lN9jtlJxsi/4XfweGCwyT9nPfcEw/Uv1dJGnR+UvVyY2O3MjGqrpMI+VP2dzBOGqqdz7piI5pmgqNMQxDzXWTtS1/xKr/bds2bW1tdD7+E7Cc4w9sXoMn6FANTF8Aq1gAG7Z8/z9oXHAuUNmWHwgEmDZtGpMnT+ahhx4ik8lUlLfkc47HyXzNOphXarbtqOZKySCVSpFOpxVJVs8Gy+Uyu3btYvLl7yA2aykYLkyPlwc/fA6P/sWllHMZfD4fF1988RGfI4tJArnevy8ZtM/no1wuqxbjk22yI67OogOBAH6/H5/Px4wZM7Asi9/tHWJbX5JtfY4Wjdt05vOc1V7DG+e2kMiXSOSKFEoWyXyJtQeH2dqXZM2BYZW4rVy5smJeiD7eQd+ln2qT6ypaGjIwE8YnHvdvWg3Y2NgEm8dGY9gWGM5wUXcgRPOSizAMg1gsxpve9Cauv/56brnlFq6++moikYja5QBKft0wDNLpNLlc7oyql1aboGVyf8Sp6Ql8jd/jdJsADSEvubFBgnOaIrxpfitRv5tEvkRnPMdlM5u4Zk4LbtPg+c5RHtjeS6rgOL+FCxcquQC9EwVe23Oc9GQGUNdPV7C1LKsiiZXz3bVrF3OaI9QFPOrnP3+pm99u78PGOKYf+UNMgqAgpoIAy85cJ/x6vV614ZANiM7LkO8s566X3GzbZtKkSRRLZZ7eN8TW3iR7hhzent9tcs2YH7lmTgvD2SKZQplMsUy6WOKZA0Ns6U2y/vAobrebBQsWVMwb0kmqOjKgj48RlEgSHR3pPpH19kqTGRj3I4Nbn8XGxlfTQKChFazyWPZv4PIH8EbqqJ999jH9yNHat3Wekn5u+j2V+6qXt3UkRU9MJCGVhKZaJVhP0OVY0gperUysJ0A6t0bEW23bJjZ9EYyV8uvnnE0xncBwuZn7jk9zxVcfw1/XSOLwTob3vMTKz3yPS754PxgGL97xj6z6hxvJDzudubNmzVKfJ+evJzbGy9zcP5qERh4UmSQtQUmH0/QL+Oijj2J4/Kz8px+y5GP/QSmfo5TPUEgMkxvuxTRNFi9ezEc/+tGKBSoPV7WWgs/nI5vNqvpzOBw+ZcMogQolW6CCX5JMJmlubsblctEUdpxwU3gc0Qh53cxqiuA2TXwuE5dpgAFel0lzxEnAmsPO3zKKQK+1i/l8PlV6OB2mK5mKboHsQLu6uiiXyyz/9NeZds0HWPTBf6Zm4iz1XncgwuVfeYw33PEs/lgzO37+dQ49+mOmNkYpPH4nHN6ktCREPK5YLBKPx9VORlq6R0dHT0sCdzwzDEM5OGmn1nd4tm2zZ88eagMeblzQxk0L25x7jXOv57dGCXhcLGiJEva6mNscoT7oJeh1Ydk2OwdSxHMlDow43V7Nzc0K+YzH40fsMl+rJs80UIE66W2usoOsmi7Oo48+ittwCLDLOmrJFstYtk0qX6JQto7pR/4Qkw1NKBSqGF2gBzQ5J0GZREhPR2aqS2iSyImvLBQKxGIxPG4XsaAXw4CGoE89gxGf40dMw5lVZRjOEEuPYSj/0RxxunVkEKzO18nn8+RyObVJ0dECucY6R0svR5yq7srOzk7K5TLn/M1tTL/2Q8x/998SaBjvXPLVNnLVN5/iqm89hdsfYutPvkT3079ico2X/GP/i2dwX4Umjc6L0YUL9VKLjurriZ5+XXQdFz3JkOsp6IZ+DJ0Lpt9z/fPl/utor47wih0+fJjYrKVc9a2nueY761XXVyDWwpQr3kmgvoVZN36cYNMEpl93C7GZS/DV1FNMjXLod/eQPLyLnucc+Yf6+vqKc9fX7PFiyQmVnAzDuAn4MTDTtu2DYz/7KvBGYKVt230ncpwzaVIeECcrC8A0TdXeHIlEOPfcc2ltbR1XVU0Okzi0k1La0Y6IzVnKqr9/M/Pe8w94QlEa551D8/LlLF26lO9973tKKl8QEnEmgtbk83mi0SgNDQ2n1NFLJ4Be+9aFkfr7+2lsbOTi6Y1Yto05Fug2b97MxIkTSRt+Vh8cwesyuGRaA4/tHuCx3QNcO6eFec1RFfiEuS+LTnYPtm2rVvVT3Xmgt71L0BZI1rKczqdnn32WBQsWUDNtIcHGdjb/4N+pnTqfUjZNsnM3i2/9D7yhCF1rH2Rkz0sceOz/wLYZ2PIsAy89xdD29bSveAMej4ezzz6bNWvWUCgUSCQSyqnILj2dTpNIJM54x5MQK4VfJA5T1j7Ak08+yezZs1Xit6itBldvgvqgl5fGFF1Fql7Mtp05T4vaovQm8kyrD1Eul+nr66vYPYtytL4GX6smvAWd01CtFi0Bo7a2lhUrVtDe3q78SMGCoUxBzciqD3n59dYezumoBcOgraGR5ubmI/zI72OCvOiml4mknFCtAqwTP2Xdyr91Ho0ENeHQxGIxrpjZqDq3yuUye/bsobm5mf6Ci41dcYIek4um1vPknkEe3tXPdXNbWdJei8t0Xj8wMFDxrOiBVZITHUkX/wZUoEonanqX1yuxNWvWsHDhQmJzlhNs7ODFO/6J1rMvByA70MXST/w3Lp+fw0/dy+i+LRx68hfYtkXd9EUM79xI8tAurvj6ExUjEXTujNAFqqkJMD55XM5byodyj2QDLWRyQaz01+gbdx3BqebZyL91sUgd1a0mKG/cuJHJkyfjCTsjL+a/7zPsuf/b1M1YzPaff5WZ13+ESZfcxKRLbgLG0ShPuJbp132Y+P6ttK+8Rq0FPaHTS1PH40mdKIfml8DfA/8IfNgwjL8GbgbOey0kM7JrBGcR6PVqYe5HIhE+9KEP0ffsb+l99v+Y886/IblvE8/+v1vAMHH5Aky4+CZ6nnsE2yqz697bKKWTBJs6uPRLv8XlcvH+97+fb3zjG4pQJSUXQWuEa9HS0nJKeSVSExeehzg33Um8+OKLzJw5Exh3xsVikVWrVvHhD3+YfSNOElIo2/QmcxgYWLZNvlQmONYFI+9ZvXq1WqCCAEQiESKRiPo+pzqgiR6Mx+MhFosxMjKieA0ul4tkMskdd9zB29/+dkae+ik96x+l57lHeONdmzFdzmOw81e3s/PnX3WOF4zgi9Yz+Yp3kDy0g44L3qQ+p6WlRWmt2LZNf39/xWR3UbQ8k1O4bdtmaGgIn8+nnIO0bEtHljiH7du3M2PGDAzDoMbv54Ip9fz8pS7KNuzqT1EX8LB8Yi21QV+FBsmssTEYsg5eeumlitk/EgBTqdQZUXM9WaYHG2lBl7UuJrvHSCTChz/8YQ7EixzOl1g8bwEDmQKrDwxgAi7TKeXt6E9i2/BiT5xC2aZ+yMvlM5sq/MjvSwbWuwvluQAqSksej4dAIKBK3nKOeolcUBzhVIgsg56gbtq0iSlTplSU2IvFIuvWreOmm26id6ydO1O0GEg7/I6SZVO0LLwaGvTCCy9UBNKjmbxWeDOyOYNxnycbquPdz+oy4olaIpHg9ttv5+abb6b3vjvo3fg4A5tXc+33X1Cveem7n+PgY86YQXcgTLBpApOvfCfp3oNKHqJa20q+l9wf/d/ymqOV3/REVe63nozqv9eRFhiX8ZASklyP6jKTjtbo1616s3bgwAHlB+tmLGbpX3yZBz64FGzY9+Bd1E6dx9I/+yL+mNNI8cgjj3DllVcy662fUGtHNtWiyaNfH+0a/WHCerZt24Zh/H/Abw3D2Av8f8Bltm3vNgxjAs64giagBPybbds/P5Hjni7LZrPk83mlh6I/BPJgrFixAo/bxaZvfxYAT7h2TChvHF04+OhPcPkcBUa7XMYqFUn17Oe5//4Lln/667hcLs4//3yeeOIJtcB8Ph8+n49QKITL5aK2tva07NoFfhXimzg2cVrpdJof/ehHLFy4kLa2toqOCsMwWNgSpWs0iw1MiYWp8XsxDagbk8bPZDJs3bpVvUcewmw2S319PcFgUH3W8ZjpJ8N03ZmGhga6urqIx+MV/J1kMkm5XKb17Ms5/PSvaZh7jkpmbNtmdN8WdTzT5+ey/34QgNazLlE/F+VnISKCM1oinU5TU1OjXnemO54Erq+rq6Ovr49cLqc6IMRBRKNRPvrRjyoehR7MmsI+epJ5LGAoW2T1gRGumdNMPp/njjvuAByCZHt7Oz09PWzevJlisUg0GlUBU5xSuVyWeWFnvg73e5ogjfouWXaP+q76nHPOwTbdvNgzhAH43SbdiRyWPdYtaMPW3qQS2bNtp/tnIF3guUPDLJ8YUyT2Vzq3ScrMghxJ6UbWXzAYVIR1QTCP1iqs/0z0TYQ4KggfoKTvf/rTn7JkyRKampoYGBjgxRdfVONVzuqoZXBnPy7TYFp9iLDPjc9tEvK6VdL9wAMPkEqljtj1i+n8HZ0YrH9nvRPoeKajENVB80RQG0FlJ1xwPf0vPUXbiqsrji3jVAD8je1c/J/3ANBx7jXq57q2VbUOjL4ZkMRBromOzuivkd8FAgF1PfRRNHq5SBA3nUgMVKzj6nKP3JejkYNDoRA33nijQv0kvrq8fmqmzie+dzNWIcvwjg1s/Obfct4//ZBMJsPAwAD33nsvCxYsoLGxkcHBQTZv3qzGyeiovySzxwMCTjjS2Lb9iGEY64HPA9fZtr1e7g3wKdu2XzQMowXYaBjGA7Yzq+mMm62RgWF8+qgEd7lJra2tuD1e2ldey+DWdeQTQ4zu21x1LMuZ4wT4ojGKqVGwoe/5J9SD1traimE4ZL+amhrC4bAS1Dsd7ctiMqQyFAqpmUO68zVNk0wmw4MPPljxvmg0it/vZ99wlpaonyXtNfjcLlyGl0xxHAK8++67K2BxKaeZpklzc3PFTup07M4FDZMyX3t7O6lUSu1W5f50dXWxdOlSrvz6EwDED2xnzwPfZ+pV72bxhz/H7w5sIzfUQ+3keerY4lQEiXj22WfVZ0nQyGazFcFAugzORMeTbTtKoaZp4vV6CQQCjI6OVnAiLMuZV+b1etnWn2Jrb5IFrVFmNIToGklzzqQYh4bTvNCdwAaC3vGuHkEOJOD6fD4CgYCaxSPXOhwOk8vlqKmpEZHH06NNfwpM/+rS/pzJZI54pjs6Ogh43bRF/Yxmi4xki8RzlYiBzXgLs8dlkh87xqHRLMsnOsf/feY26RwIvcwo61eCgcfjUQ0Jwq3Sz03nUMh7df0XIZLKrj6Xy7F27VpgvEQViUTwer3sGkzTURtgSXsNHpdJc9hLrjTeNbNq1SrVIVl9naGyfVtPOvSf6W30go4ez8RPSFIg6MeJmqMAvYwrv/k7AIZ2Ps/Bx3/KtDd+iKWf+G+e+qe3UUwMUzt5TsVn6n5EtK2qkxlJOvT7V31N5G8pK+nt2nIucv/0BFz+5HK5ivlOkkDo1+BY16O6LLVw4UI8Hg/bfvwFDjzyExZ84LO0Lr+C/hef4ty//V/2P3o3O3/5DbBtQk0dGIbTHWlZFqlUimeffbbivOTfOmoj8ft46NsJJzSGYVyKMw3bAFSZybbtHqBn7N+9hmEMAjHgVZHQ6IO1xCTQWtZ4q29nZyctLS0s/bP/AmBox0YGtzzrJC1AZPIc6qcvpn7eOTQvOp+h7evZ8PW/IlDfwuy3fUotou7ubtWyLTtfIedVf49Tabo0dTgcVh04EuTFKekWjUa5+eabsYANnc55d8aznD85xuoDIxTLFmd11DKjIcSyZcu47777Kt4vu41MJqMeIv2hO5UmTjQej2PbtkomU6mUeiAKhQKrV69mwYIF6t689J1/YXTvJhIHd3DBv96NLxrDME0WfeifAeeBlQneUue/4YYb6Onp4fnnn1fnKCiNrpXgcp2ZKdzVw+SkNCb3XZAs6djoiuewga54lniuyOHRLFGfR5UWawMeLpzaoHZJusn5VouwyYBQ6YQYc86vSR0aceCCQkqyfrTuPfEjF42NCemOZxlKFyiOZTBNIS8Rv4eO2gBNIS+H41nWHx4l4nWzuN1B+CzL+r3mNkkiIvcDxhV9JTiIcrMkIqJLo5NNdW0SPXhJcBWirl4akddKsLr66qvJl21eGkuIO0cznD+lgd/tG6Rs2aycHGNCbYB58+bx+OOPVxzjWOem80n0pEZvewZOqOwk90/v/nsl+bZwaeT6vXj7P5DuO0R2uJdln/wK3nAtvlAN89/zD+r7ix8ZHBzEMAze/va3093dXYFyS4Lh9/vVPZT7KvdRElOJOSJDonMmBc2o5hYJAiP3UG/Z1z9HpxDo5S659voxpcGkb+MT2JZF7/NP0r3uIYZ2bKB+5lmUCzkM003dzMUsuuVzigIix5Dj6/FRElTdp8h6M14G8j5RUvAi4FfAXwDXAv8JXHWU1y0FXLZtHz6R454OE3KUNnpcScAbhqFIpFIakAURm3UWb7hjLVa5RLr3IOHWKRjaxW5ecjHXfnej+hy5AWvWrKlYkD6fr8IhnA4+CYwPqUylUiq4yGBCn8/HyMiIOlfLsohGo9x6662K89EW8dGdzFMs2zzfFadQHqu7jjmS6dOnH/F5Ur8dHR0lGAySz+dPW4kNxpECSSJqamoUIiUPg9TAV65cyZIlS5hw4ZtIde2l7dyree6//4L4gW0YLjebvvd5yvksZ/3ZF6mri/HQQw9xww03qESopaWFefPmcdddd1WgNF6vVyFS4ixPtwkZV0ySGkFWbNtWJVDbtjl3Uow9Q2mmN4TYN5TGtiHgMR1ZHgPCXpcigWcyGa6++mpnXktnJ+vXr1cqzYJ+hkKhCmG9TCZDY2PjUb/ra8EkkOotxcKhkrIMOBuCaj/SGvVz06J2ypZNulAi4qtsY59cF2RKbBzB1P3IK/2O8rm639Fbeb1eL9FoVLXmyloWvyhlJfkeOodCji2zuqrLyHKMcDjMW97yFoe7hUN+HkwXyJdtNnSOUBpL7EqWc8yJEydWdFTp1+ZoppNl9cRLL1HoxNljmZRHBBXRxVVPxMSPfPjDHyYcDtNx4ZvYe/93aVl6Gc996eOkew9gGC5euO0fsG2Lsz7+Rerq6o7wI83NzcybN4/vfe97jI6OYtu2+p1eFtORF4lb1bIBUmaUZgi5rsLpFFRNV3zWS0TVJUodtdHXgX5/dFR26Sf+h67Vv2HK1e9h5z3fBNvGH2siO9SLYUCkdYoaG7R+/XpWrlxJY2MjAwMDbNq0qYKbpsuoyPmfCH3huAmNYRiTgAeBL9u2/V3DMJ4DNhmGcbFt26u018WAHwIfPuFVcRpMdufS2SFcEnnw/X4/73rXu8gPHKaUSeIORtTNM00T0+Um0j4NgFTfIdLd+2lceD6Y41L/cuG///3vE4/HiUQiimMhEKJ8j9O5W5e6fy6XUwtV0BI5f3FgK1eupGy4uH9bLy7DIF0oOd0YQQ+NYR+JfAq/22R2U0Sdt5gET3mgisUiw8PDamjc6TLDMNTk8GKxSCTiKBpnMhn8fr9CpBKJhCqXLLv07Uy54p10PnM/u3fcBjbUzT6bvo3OrnH7T77E4lv/g7e+9a2YpsmuX36DfQ98n/nv/0faz38TS5cuZevWreTzecXZaW5uVt9HnMHp7PIRnoesTb1GDo4Teu9730umbFAs20T9bpZ21JLJFxlM5WkMeVk5pR6XYbBnMIXfPR706urqOGvpUtxjSd3SpUsZGhqit7eXrVu3YlkWtbW1FW3OsmF4LZecdMeud5MIH8Xn8/HRj36UnG1StsFlUOFHXKahZjMlckUyRYvmsLci+dH9yPEIwbq+j/zRd/TVwcrv96sWbn0OkBB9dXSgupNJzrVaAVw+X08yFi1aRM4yeGhLD36Pi3i2iAE0hn1EfS4S+RJhr5spsfGuOf1zqrks+s5dzlPv2pTERTYPIsN/PNE8OZ7wC48nxHc0SyQSbN26lWXLljHrho8z64aPs++hu5w5RpZF/YIV9D3vlLb33P9t5rz9U8qPbPnB5+l8+tcs+fgXaFpyCcuWLePRRx9Vc/7kGuh8IUHfqjXG9HshsUZHNVwulyJ266R+eb0gr7r+jXyu3i5fXeUIh8PcfPPNZHv2UY4EqZ06n7ppC0j1HSbZuYfG+eey6MP/hm1ZHHj0bkKtk1Xydckll2Bi4/H5qa+vZ/bs2YyOjtLb26uSm6Ndh+OVBV/Wy44lKQ8B99u2/TkA27a3AD/HQWnkdT7gXuD/2bZ9akbC/p4mN0h2LAKZCpqwYMECBl94gmf+8a088dfXgj2eie757fe4/z0LWP1v78Mql3jq/3sL67/6SXb/+n/pXvcQ5aKT+b700kt8/etfr+CUyNA03QF6vd7T2vUi8K/L5VILRJe01h+Kjo4ORnNlssUyiXyJsu3U+psifkplixqvo0ciA/UOHDig3qvX2mUCtSQPpwudEfP5fEQiEdWKGgwGFVpQ/V2k9dq2bRrmr3D0JAyI73lRzR8JtU7m0JM/x8Sp1Xet+S3lQo7utQ+ojifZCUlJ75XU4k+2yUMvAU4clfB7vF4vy5cvpytV5LE9gzywoxdwAskjuwcYzBTpTxfYM5jm8GiWF7vjrDs0opRuO+M5frG5l6f3D1G2DV7oTpL1hJk/fz5vectbaGpqUo5IAqWUvDhiXN1rw+Q50VvfJVAIn+biiy/mULLEo7sHeWhHXwV35aXuOP/3QidP7xukZNk8vHOAp/cNsmswTedYue9YfuRYJjtXQV91gTyd/yL3XEpNUobQXyt/ZMOjlwL0LhidEAxHkkTL5TKNjY0MZUvkyxYj2SIWzk1vizrddjU+Nwtbouq9nZ2dKrnQTUohElx1nouUmHTVW721+0TKR3p5TifGvlITHyLJUPNZl+CvawbDIL5PyMEGvkiMw0//GpfpJJrdzz5IOZ+j57lHcLvddHR0qHE4+iZIR8pgvEVdTwB1Hg6MKwNL4qPr0EhiKgmvXqrSeTHVGktyf8Wf5HI5Fi1axKGH72LNv9zM05+92UmQSkWe+sxbiO/bQv/m1Rx8/Od0rX2AHT//Ghu/9mni+7diGAZdq37Ogx9Ywgt3fIZicpjN3/tXCvtfZPbs2dx4442EQqEKOYxqAvSx7GURGtu2h4E5R/n52+XfY/Ws7wNP2LZ918vf/jNngkzInAhpXW1ubia3dQeYBuV8FmwLl9tLsns/23/yJcBmaPtz2JaFy+fHShXY9+APKBdyTLnyXcx6+6fJ5/MVbeGSOMhniQOUXdLpNGk1NQynA0lKbzqsKI5lyVnNzGwMU7Zs9o6VHrb1JdWxnjs8ysS6IG7zyCRFFp50tDQ1NTE8PEwsFjutSY1waQAikYgSuZNdmzhDqGzBbG5uZurV72Hz9/+Nci7D2X/5dWIzlvDoJy4Bw8AqFpl85Ts56+Nf4NCqXzLt2g+qjifp9ojFYhQKBYaHh2loaDjtyVy1+Xw+VWaUMkOxWKSlpYW4bWCAKgEYhsFYVZGgx2RzdxwLcJuOQ3OE0Qz6086utz+VZ89gypnKPpSmY1EbbrebWbNmKcKh2+0mGAyekbLbyTZx7rLzl2AoTrelpYUhR3CaYnm8rXYwlWd7v9NI0BnPYRgOuFu24KXuOAYwvzXKzPpghR+ptuqEvBoB0/gF6vtKJ4yuCKx3QIVCoYpdefXv5fj65+jfR4Kt/N6yLHp7e5k9dy4j9U4ZTfzIi93j57Xm4DAT6gLqe+rjFao5OXIdxXT+iO5zJNnSEZ2XQ110RVzhksjn6ajT8UwvYc+dO5dwYzsdF1zP7ntvp5iOc96//AR/bQNP/vW1YLow3R7az72GZZ/4H7rWPsDMN9+qdMHkO0gCpycykjzL95Pfy33XBWIFedFLSbJOdXVheY9egpLkpzpR1Y8nr21tbWV0dwoMQzXLGNjYpRIYJqHmSWz9yX9h2xYulxsMA2+kDtM0Gdy6DgyDwa3r2H3fnRx68hccfupervvhJgAWLVrE2rVrj+DxHM+nnox+2vOAt+OUod489rP32La9+dhvOf1mGAbBYJC+vr4K9cyenh4WXHgjgVgzoZbJmG6HYOXyeDFcLuxyiZrJ8+h7fhX+2iaik+eRG+4j1bUHX01DhZ6AvtMQQqiUngzDOK18Et1EF2ZoaEgtWB3CtW2bTZs2cdZZZ7G4zRGDm1gXpFSy+N3+IXUclwEbO0dZPrGOuXPn8uijj1bwMsR5iu7I8PAwhULhtJadoLLFVjrMBgYGFI9It0Qiwd13382nPvUpGhasxHB7wIZg8wQ8kRr8dc1kh3sJtU3GMAzqZiwmNnOJKq2tXbu2AgoGGB0dJRqNqrbY01lu0k0SOH1ycSaTobe3lwULFhDxuZ2xB2Nr4KpZTYxki4S9Lh7e2e8cwxzjZow5uYWtEQIehxtiGAae/iSxoBeXYWCYJtFolEQiobpcznRSdzJNgqYkNbp2R29vL/MXLKA24KEu6GxabNvG7TIxcFCKloiPQyNZgh4XEZ+LoUyRfMnC73YpPyLXSw+qOkKhX08J5LrgnwQ3v9+vkpNgMKhUswGV3OscFDEJhhLchIOjI806OiD+RL7bzp07mTdvHks7HF/XXhPAsi2e2jc+oNNlGrzQFWdJew2zZs0iGAxWJHJ6QNWTKx2tkeshz5ag4YK2hMPhlx1BIudQXZYS1KIafXq54yQSCR5++GHWrFnDpz71KVrOuoQ9938bDINAXRPeSB2eUA3FTIJQ0wQMw6Bh3goa55+rns/nnnuu4l5Xl3n0MpAQgfX7J+vF7Xar+XLCpZF7JElJNTKjH0f+Ldf8aNwZ+ayuri4W3/BxYjMWUzPF6Qo1XB4u+o9fkurZjydcy+rPvQdsC29ds/O+opM8zX/fZ4hOmEHr8isppEY5/Ltf0bT4QnUPZEOoI256EnYs+4MTGtu2n+FVPEJBh36FkQ7j4mLr169n9uzZNCy8oCJbzwz1sOB9/0hszjKGd2xkw1c/qY659JP/Q7RjBuG2qUpPAMYXnWTTAu0Vi0Vqa2vPmMiaOLZcLoff71eQoSzoaDTKu9/9buUkhtN5dg2kmNUY5tLp9Tyxx0lqLBsODGeY0xwh6nNzxRVX8Mtf/lJ9jv4Alstluru7aW5uZuLEiac1qEuprVQq0dvbq+D2YrFIMpk84vWJRIJ9+/YxZfJkFn/48/jqmohOcEQHL/3yb9n16zvYc9+3CTVNJNDYTm9vL4cOHWLNmjWk02nC4TCGYZBKpaipqVHTzfWOp9NlukMURCGbzZLNZpXz3rBhA7Nnz6Yl7K1Y8yGvi7DPKUU2hX30p/JkS05QPTSSIRasxesymds0TgR8y8Lx9mJB5+rq6o4QBDtTSd3JMEkSJDHUeQxyfhs2bGDOnDm0RiqvabZY4uwJtTSG/RwcSbPu0AgA8VyJS6Y1EPS6iPo9Cu2Tz4NKjZTqHbMEGPEv8pnBYLCiw0nmmckfIYzrit6SoElAlGRNV/nW15R8p+pkJhgMcv3116v/D6Ry7BtKM6c5wnmT6lh90Dn3kuWMzZjbHMHnNrnsssu455571PnpyYxuOo9JTBI1nSArQVDnCOqm84/kNfp56fdc/9yjJTn6/5PJJPv27WPy5Dks+tC/EGqdQrCxHdu2ufyrj7H9519h5y+/waKPfB5fTQP9/f10d3ezfv165S8kWdCvq2mOD62UJFbWoc4nkkRER2lkvVSXDKVELj5BR8kEsdE3vvrak9etWbOG+fPn07j4oko/0jqZcNsUAKKTZpE4uJPsYBeG6aL3hVVMb/sA/romZtz4Z+o5uuY76ys+QxS2q4nPf1DJ6fVgOhnYtm0CgQDZbFbtaFKpFHfeeScrVqygrc2BzSMeePY/PuS0737039n8w3+vOGbi0C7axyYyi54AVLaf2bZdocJZX19/Rnar8jCWSiVyuZzq6tKd3sqVKzHdbh7b47RUuk2DoUyR0WyRa+c04zYddU9n9Bp4x3bt1SiNOAZRIC2VShw8eJBIJEJdXd1pDWqyMw2FQqrspJM4q3dm0WiUPb/5Djt+9hWwbSId05l5w8doWXY5u375TcDg4JM/Z9ZbP8mhQ4cUqdgwnOm0oukhwSafz+PxeGhoaDht5yxWvebHRO3U943H43z3u99l+fLldHR00NjojL+wbHCbcGAkQ75cxga8JtQEvMxoDGPbNtu3byeVSjFx4kQ1vkPXizh8+DCTJ09W36Wad/FaNV04UhA54V9YlkU6neauu+7i7LPPprm52fl9MMJT+4YwMDh/sostvZXJdDxfpCXqr/Aj1cnLsUznQMjrJbHWh8LqnBhJZGTnLgFCdvtikqjopGYx2SnLTl6QkUKhwIoVK7AMFw/vGsBlGBQti2S+TLpQ5rIZjZiHRpT+jomD+BqGwezZs4lEIsqPVCNR1X5TRzCEqCyldVnzeomk2iQxkHPQxS/lZzriBePibjpypj9T8v9oNMq2u7/M/gd/CNjUTV/M9Os+SN3Mpex74AcYhkn32geYfNV76O7u5sknn1RJi/558rdwoORe60J5ekJTzTHRScHFYpF8Pl8xNDidTlcMsoTxeYd6MiWJTrXZts3o6Kgqt02aNImGhgasUhG7VMT0+uh8+j5KWUe9xVtTT82EWUy44E3Yts2uXbtIp9N0dHQQi8Uq/EixWOT5558/ouPpRJ6L176nOY5Ju6o4VdM0Ve1Y/p9IJJTA3C233II3WoPLH6SczzC65yXskvNaTyQGVonmMWisWCxy++23VzyIgGrpFCfY1NR0Romitm0rsq5og+iLpKOjg1TBZiRTxAbcY/6jMeQE/4jPxUh2jIAHPLKrn8tnNhH0HKloKiUm23Za17PZLH19fbhcrtM+26hQKFBfXw84D7i06usWjUZZuXIl9fX1xE1zbGIuJDv38ML/fobF5TJT3/A+BjavpuP863C5XMybN69CO0J2q4lEgmAwSDgcVrv5082ZgvE1bxhOC72sfeENyM8feOABrr76apqamnhgex+pQpkav5tUvkx57DoULMgUy0rZtVAoqPsdjUa58MILaW1tZXBwkF27dh3Rnl0ul3Xhttds/UmeZZ/Ppxy/BHRBBNLpNE8++SS2bfPOd76TsNczRqKHzkRWHctrgmGYtIQdxLZYLPK///u/xOPx434PuX8SnAQFlHUmSYz8XpIXnWshwU/XYBE0Qjh2OrG/mmwsqIeUugTRaW9vZzRXIpErYQNSHGgKe3GZBgG3Sbo4pmUCPLxrgMtnNOJzm6xYsYKHHnroCKSk+m/ZMB6tBCelMbkW1Tpb+uuOxreR4+mbAUmadP9d7UMkkRE/0m+YCP99ZM+LPP/Nv2XpJ7/ChAveTPzAdlqWXY7L5UyVfv7555WCeXWCJKRvvdNJR2Qk4ZTEWn4u31v+6F22Olqjr2MYLy/Je06k7CYdo1dffTUNsToe++Tl5OOD1EyZR7JzD1YxDxgU4kMUYnF80Zji8jz22GOqW+rss8+mra2N/v5+nnvuORKJhAIEJHHTEtRj+pHXLg58gia7FT2rLhQKFRNzdevs7MT0Bbjiq49xxdeeoHH+SgzTRaChjau+9RRnf+pr+GsbVaZ78cUXV0za1v+WeUaRSOQI7sbptHw+r9ApwzAqIFpwzrnW76I2MKY6aYNpQNTvYShdoKMmiN9t4jGdlZQrWfSnnOBYrWgqwV2cniQ1IyMjp/0aSPtyLBZTfBIYr5tHo1E++pEP024Nk+raw9RrPqBmNgHY5RK+WDPTr/swzYsvYsNXP83+R+8mFArxsY99jGg0WhEsZFilOEFd3PB0mnxuNpslmUyq8RswDj/LjryjowPDNEkVnGsTz5WwbBuP6WgRAXTUOAmJYRgVCUsqleLxxx/nxz/+MU899VQFhA2VRNqx978mExp91+zxeFTpWC9/SGIhgbanpwevCW+a38qb5rfQGPJhADV+NzcubOfcyTE8brPCj0i7+9H+CLFXf3b1n+n/17uv9IRLtFf0ZEDQGXm/lBvEqkuGUgYQRd5MJqNK64bhjMwI+8ba2nFQmKjfQ38yz+RYCK9p4HE5hPR0ocRwxkF1Ozo61DGqtU+qv49ce/mdIE8yZfrluDNi4hv09mQp7ehCkYL8eL1eJcMhv5dEsr6+ng9/6IO0FvrI9B1izs2fpmnxRePf2Srjr21gzjv+krqZi3nuyx/n8Or7CQQCvOtd71LIms5Rkmusl450SoO+UdJjm9wv2bzonUKlUol8Pq+6svTkR+fW6EjUiZaLOzo6sEsF8vFBAOL7t2KVS3ij9TQsWAmmSw3xNAyDhoYGhaIlk0meeOIJ7rrrLh555JGKjlxBkapQsWNmWa97hMYwKgXmSqWSKjnJwpEbaVmWUoD0ev34AiGaFl/Ild98Ck8wROcz97Hpe5/DdLmY/sZb8Ne3suj865g9eza33367yLtjWRaRSISamhq1+M5Up4fO5fF6vQqCFkdQKpVYs2YNZ599NgGPi3iuSMjrZmZjmCmxIPds7kZP0ifWBfCYJhNqA1iWxeDg4BGfWSqVFLdEMutiscjIyIjquDrVpte9dfhY0CnLsli5ciW9q+9j20++CBic95nvkRvsxVfXRLmQp5xLs/bz73MOaBhg22z+3ueYcMH1eL0BhU7JNZWkZnh4WKnwym74dJrwGWT6tQTio9WhOzs7aWtrY2ZDmF2DTqfC3OYwW/tS9CTzLGmvUSVHlwEDAwMVn6Pv+gXeFhNStr6heK2azuuQZ6m6rVQCq2VZPP/888yZM8dJItwuJseCtEb9eN0m2/uTbOlJ4HaZzGwIUxPwsHDhQmbPns13v/tdxfOqLj/ozy1Q0dwgmk/VSaSsP11SX6B9fd3CuKy88GuqP1dHdvRZQBIQLcvC7TLxukwMo0yd38O0hhBtUT+/3toD9ngkmhwL4nWZtET9WJalJiyfSFlBvyc6n0mQSOEIih1LOVg2tvJ7CeqS5ElCI/6iei3I3+eeey6HHvoBe3/zHVweH8v/+luUsmm80Rg2NsVUnKc+40yZFj/ywrf+ngnnXYfX62XZsmU8+eSTFfdUNknVs7Vk7cm9rea6SLOC+HZBWeR+6ZUJQet1YUO5z9Xnejxz/Mhy2la+ke41vwW3m8mXvoMDj9zF0LbnWPCBf8Tl8mCVihguN4ODgxXPjVxniRWCLArqJgnl8WLH6x6hAZRWQz6fP6I1Up8eK+WnH/3oR84iyKSwSkXcgSAHn/wlmYFOsG1sy2bnr27jpTv/iUz/YTUKXrJZHbYUoaRqMtvpNPlepmkSCATUTk0vw1mWxTkTa1naUculMxpV+7bLMLCBSXUB5jRHWDEpxqL2GrCd486bN4+2traKz7NtZ36W7N4koGcymd9b7+H3tXK5TFdXl1LQ1B/Yjo4OAnVN2JaFJxRlxz23Mbh9HVgWc9/+KWwNvXN5A2CaNC44D5fPGbwp6JQ8dHryBKdfg0c3vZ4uDk1XuhXbtGkTtm2zpD3KRVPrecPsZnYPOImNDbzYFWdj5yhbe51nJhgcF0TTYW0JdHJsQajE+Y599rGVzl7lpgsV6jt52RBJkiAOOpfLcd999znweqmMNSa2t2cwTa5ojc1zstnal2D1/iGKloPUrFixokIrRi/3wDgSJM+wlHZlGKxehpJ7I5O19bKGHFfnaEiSo69h+Qz9vYLyyfcUf9fX14dt21wwtYFlHbVcPL2B6Q1hRxUYp8w0qS7A/NYo50ysY35LFOtl/MixTC+7SReU8PeEI6cH4upkRtaq/FtPEnV9GynRy/Ws/iPoWFtbG8GGVmyrjK+2ga0//gLDOzfgCdUw7er3gva8ubx+ME010NI0ndl3+n3V9Y6OtQ7lvXI9AIW+yDnpHBq5n9Icoq9VSXQkearegJ1IUiN+5KyP/Sdnf/rrXPqF+zj45M+c95eLbP7ev7Hpu5/jwGP/B6BrU1W03st5S1wWf13tt45lr3uEBsa7XgYGBojH44yMjKgHUe+7lwu2cOFCEod2suZf34U7EGbatR9g58+/hm3brPzH72MYBs/+vw/jjdThr21UwkiCAMhUW3EmZ9Iku4VKWFzmTaXTac4991zyZYvf7RvG6zKZEgth2zYvdI2qGTQHR7J43SYdNQEe3z0A2EyoDbCgNcott9zCiy++yKpVq0gkEurcZacpi1Faek+XDL5lWQwPD6up11DZ/ugMmLuEy778IN5ILQdX/YqBl56ikIrTsOB86mYuYWTXC2AYLPzgPzPhgusrji3dbfLgyU6nrq6O0dHRM0IIFhOisiTpeseDrPO2tjbe9PZ38ciuASbHgsxqdKDvBW01bOx0+Bw2Dq2oUHJ291OmON0LeqDV25kty1LddILOyE7Yfo1O25Y1o6uMy/9lFyz8BJ2MOnv2bAbTBX63fxi/x8Wk2gA7B1Jgw2UzGinZNk/tHSTid+NxmZiGo+0BlbOKjiYwJ0FHAqvcB0EcBG3Qg5QEMEEg9POQUpPetgxHlnjk/HTehXwPgFS+xO/2DRH2upha7/iR9YdGKNtOufrgSJaAp0BT2MeTewYwDYNJdQEWtBzpR45m1Rwg2SjqiZV+HkcLgpZlKX8gGy4ZJaAjGPI5OldHvzZivb29LLjwBhrmLsdX28iue/+X0b2byQ710nbuNfQ89xjxA1vBMFn2ya/SvPiCiu/S39+vnlVJxnRkV79P+mdXaw/pr5XnTs7R4/GoDb3EKXltIBBQr9XLTCe6AW9ra+P6FfN56jNvYerV72XChW/GMAymX/tBdt97u3wxLKtAKZdRfkTfcOllL1m3esIsaM3xOoX/KBAacC7a8PAw8Xi8gt1evbOMRqPMmzeP3GCXIxiUSTC6fytWqYA7GCY2YxGxmUt4w7ef47KvPILbH1Qtl/ri0nc2p7vkUG161i/OVybuer1e2tvbGc6WSOZLDGUKJHJOYBZeBTiBrVCyiOechV+24cBIlpe6HfLp4sWLFa8EUAuwVCqRTCbJZDLkcjl6e3sr5mqdKhMOSSqVwjRNJf2tw/Rr1651HpJ6J4js+Ol/O+daLtK15n7i+7cCNobbgx6LhYcl3W16J4/ueHR06nSbiOnJfdcnMQuJ8QMf+ADb+tOMZIts6o6r389oCHPlzCZmNIzPGMqXK3f2EtR0Zwvj10LKjYVCAZfLRTgcPv0X4SSbbAQkcEppR9/lC8+ipqaGadOmkRojweaKZUc514aA26Qh7KMl4ueti9p5w+xmzLFj9vf3K0XxQCCA3+/H7/crlFmOL+iAbMokEEkzgpB3pfNHkBgpiUkpXN4nfuHleBPCvRK/Jtw8cIJmQ0MDfak8qUKJ3mSebNG5RunieEOBDY4aea6IgVPK3DuUYXt/8qh+pNqqkSJBwvXgD06C9XL6V+IP5DVyLtUcGvHnshE4mt/asGEDxWKRQGMH5XyOvb/9rvNdClkOPfELkp27nPXj9mBb42iR+JHNmzcf0Z4svhqo4O4ImqKfsxxHroXOu5F7pqMwekVCEmKdu3SiaAig/MiOn/43iYM72Hb3l5Qfmf3Wv+C8z/6QCRe+efy6j3Fs9IRTLzXqSI2UR/XzHEPP/nhJwYBKOAYHBwmHw4TDYbUI9EUrAxrt1BC50QHmvfNvWP5X32LgpacBsAo5DHNsjsaYE5CFsmbNmiPqk9JZoy+gM2GGYVBTU1MRfMQBB4NBenp6aAp51S69NuDU1pe211AbcKvVEwt4aA77WTGpjtaID9OA/lSOTd2jKkG8+OKL1WdKQpPNZkmn06pOnUgkSCaTp7QEJ/Cr/FuclTwkhuG0L99+++1kMhny8WHKxbFxDW4v/lqnFOWrbWTZX/y3aje0bZtsNss999yjdpG68zEMZ/K2CFydCZOOKwm6fr9fOSpxaCtXrsTlcqmk1euuhK9jQQ/LJtSxfEItk2oDLG6rwbadVk0xcZz6psDtdiulZmldj0ajZzypP1mmJwZ6QNU1S2pra3n7299O0XBTtm0Wt9VwybRG+lPO+iqNxURx4nIdi8UimzZtUsfXSaDV5Q95H4wrwUpgksAoCZc89zp5WD5f5zfpfEKgoi29moyqdxDJGujp6aE96mNibYD5rRGCHudYyyfUEfWP+5GmsJf2Gj9nT6ylMezFZcChkSw7+hJH+JFjmb6WZeiiJGPSZSlaOscyHdXSy4n69ZVrr28K9VKrINF33XWXo/c02KVKTG5/GH/M8SPBpgmc/VffoHnJxep9+XyeVatWKSkASUJ0JEZKi/o902OJ/FvXBBKVeolxEqdkvfp8PrV+9dZtPVk8URM/khtyRqj4ovXq2gHEZi1l8Uf/nXnv+XsmXPhmZrzpI0f4Ef2c9M2Bfo7yupebzwV/BAlNuVymt7eXVCqlasUitKab6LF4vV6e+6+PseWH/0nvC6sItU52iFxAqNWB22WB9PT0sHHjRm6//Xbi8XhFfV12xQLBnyktDlkkwWBQnb/s9IQ8tnHjRqxSkWXtNSxur1W7r7qgl6tmNjFpTKZ8KFvk/m291Ie8XDy9kcmxILmSzda+lEJ1ZAq3OEoR8JPug2w2q6D7RCJxSpIa4fDI5+gy5+KQ9QCbSqUINnVw1se+gC/WjF0q8NJ3PsulX/4tl3/lUVqXXVqRsAQCAW6++WZV83e5xoe/BQIB0um0KgOcbrNtW82TkoRaglw6nVbnICXS6Q0h3KbBnLGho7Zt05vMsXcozf6hFFt6kwR9bsJjU6J7enrUZ+nCV7KmpJxRKpUIh8NEIpHXRTKjO1UYF3QTIqOeKM+fPx+3280Te4d4oTPOcKaAd6yzB6A2MB4wy+Uyg4ODbNu2jZ///OfqHkkQleAjAU3eJ3901FV+pgcESWj1n0tir/skPXjoWicSYCTYyr8l2dE3cWvWrIFyiXMm1DK/pUb5kcawj6tnNdESdZKLvlSB+7f00hL2cfmMJprCPrIlixe6E2QK5Qo/cqImPka0oOR8jhcAxUfrbe3V11l8qO47pcFC7pPH4yGTyRCdPJcFH/gsnnAdpVyKrT/6Ipd97TEu/dJvaF54foUf8fl8XHXVVdTX11cgY5KYSGKro6KyJnROjPBm5L3SbSjJjL6ZkfPUN2dSbvx9YpT4kUmXvhV3IMT0628BnHXS98LvOPz0rznw5C/Y+9vvEemYgb/WoRvofgQ4ZlItP5dn5XjNNa97Ds3w8DC5XK7CIQk0rGfElmUxadIkJ+FpmUi6Zz+Dm9ew7ku3Uso4XJCV//RDStk0tm3hDoRpaGjgN7/5jdL80NUcgYqgUldXd2YuAONCa/X19UqBMRwOk0wmFaHuO9/5DmeffTbt7e10dXWxZs0ampubufnmm5ndHOHAiIM22MB9W3sxcLphwMH/RrNFov4j25Tl+HJNMpkM+XyecDhMoVAglUoRiUSOeN8fYrrqpd6SChAIBBQpThA5CllK2TSlfFbp0GCDN1wLhsGaf/8A6d6DZId6cPlDXP2/qzHdXq677jruvPPOCs0GSW7EGYr+w+kyQaZ8Pp/iD0n5SQJRsViks7OTlpYWZjdF1AR127aJ54qs2jtUcczdAyk1EqO2tlb9XJ4jcZSWZREOh4lGoyfUkfBaMj3Y6MFe/Ig+ELC1tdXxI14X+ZLFwZEs/ak8Y1U7LprWSKFkYRjgdrmora3lmWeeqSgRiolDl/Uszr4ahdHRHr3jCiq5FnKM6qChJ0dSmtXhfzlHvUVb/IokNiMjI9xxxx2ce+65tLe309nZWeFH5jVH6Uk4XXJl4N6tvZgGzGoM05PMYxiQyBUJel2veO1IAqfLEsgz+XKmX4NqbpScm45y6ddZ/oRCId761rdCPo1VyFIu6MisjT9aj1UssPpz7yU7OkBusBtPpI6rb3sGDIOLLrqIe+65pyKBqk5idf6TXh6C8fKvICxy/nq5WdasdBABFXo0unDgK9mIKT/y1k8w+62fUNd0aNtzPPfljwMGjJXr9z7wfaa/8YMVfkTOWSeiy3eRcxAfriVdf5xt25ZlEY/HCQQCxONx5Si8Xq/SKpALFQ47CUoxl+GsP/sSj/7Zhdi2hb+2kVTnXkyPj1ImyZN/fS3lYp4lt/4HHeddxwc+8AG+8Y1vqLZw4U7I58jiOpPkYBFa8/v9irCqj4EAR7b7scceq8iAE4kEmUyGulCIxa1RNo91usgk7mzRYsXEOrKlMh21AWzbZs+ePcA4iVB2CSK/73K5SCaTir8jRLWTORZChoLKHC2pladSKVV68vv9vO1tb6M43M3Tn7kJw3RRymUAG9MbYN67/gZPMELi0C6GdmxUte9yLk267zDRjukVgzf1ICN/TndAF3TGMJz5Mp2dnRSLRVKplCp9iq1Zs4ZFixaNcw9sm+cOjXJwpFLDwwCWdtSq4wsRWngGOifL5/PR0tLyupvhBEdONdZr/4JQlUolgsEgtbW1FEtlLphSz2+29QIGQa+bTNFBatKFEg9u78MGLphaT1vUz3XXXacQmmoyq56Qy3eBSrVgPRkxTbNi8KSsS71UIfdHjludAEgypCvH6kiNnhxJQuR2u0mlUjz88MMV31/8SGM4xJymELsG0iq5c7qcYFlHLWXbpjniq/AjJ2o6SiZJiJRfXs4kMRD/XCgUCAQCCmHVyzDyt1zDYDDI4sWLmTZtGunDO1j7+ffh8vopZlLOkGN/kEW3fA7T7WF49wvED2zHGmv0KyZHKOXSeIIRxReS+6zfa/lcQdb0RFY2THK/pLyvo2lSbpcuRxjf8AEqGdaJ3q/EKvyIbWFbFuu/8kn6XnpmbHM4ds08PhZ+8J/V9xI/Iueid2aJj9aTGqBiovyx7LWPBb+MCSQOlTss/eLJjvWcc84hcWAbD3/kXFb97XVc8K93c/Ynv0L9nHMwXB5noaZGKRdyYJXZ9O1/Vg/QeeedVyHEpBOvhJh3JsoPYnrLaTgcpqamhpqamgoNhmOVfnbt2oVt28xpifK2xR1MbwgR8phMqvXTGvXTGPYxtzmKgYMOiJ6C3n0gD5SMIEgkEqoGLzLcJ/P6CGIgSIUIjDH2HWtqanjnGy+n596vMbjlWaeFtlykbuZiMEysQpbe9Y8BEG6fxtSr30PD/JWEO6bTceGbiXZMx7Ydkrk4AXnY8vk8pmmedv6M1PJHRkYYHh6mu7tbEbHFycl3lXuwfft2ssUSv9rcw6+29HBgJHPE1mdyLKi6VcrlMmvWrFFrXSdgCuwdCoVeFyWmatMFOHWUQ09iXS4XCxcupD9V4Jebe3hyzyBXzGzigqn1xMa4aB6XSbZYxsJx9c8dGlG+af78+eq50dvB9RKBJFKCzAi3RhJ3y7JUiUleI+/XX6uT2PVyhZ4kwTi6o3+ufBedJKxzHo7mS8SPLG6v462L2pkSCxDymEyJBagLOJwaQQp1P/JKTEeQTiT4icn3le8vSYAkaeJD5JrZtk0wGORtb3sb7UHY+cN/Y2Tn82CYlPM5aibPAQzKuQx9L/wOgLoZS5hw8Y00LjifcNsUplz9HjzBiHpuqxs3qstdwqXRk1b57nI/pMwk66daIVhQHCn7i//XNYvkXp6oiR9J93fy4EdW8MifX+ycc1krDRkGU69+D63LLqvwI0e7/rL2hBclsUlKfMfzLa9rhEYyPfm3viANw1FTDAaDrFy5koULF9L33ENgGOQTQ3ijMaITZ5Hu78S2SpSLebb/7CtIxtm48HzAcW5tbW3qRsiC8Pv9Kts/U/wZMYFFBUWSctPEiRMVYfdYUOOqVauYM2eOM6iuZLFzII0BlG2DtQeHMQ2DGxa04hp7WFauXKnGAliWo04pgyEF2iwWiwwMDNDe3q4cqQ6F/iGmBwQpscg0X0k2zzrrLHb935cZ3LKGga3PMvGiG6idtoCJF95A97qH2ffQXcx6618468Q0CTVPZO8D38d0e7jwX/9PXaff/OY3ABVORx6+TCZzBE/hVJllWSSTSfr6+sjn8ySTSZVQ6Q7OMAwikQjLli2jo6OD2tpaskWbomVhANPqQ+RKZWY3RRjJFOhL5VnQGlXr+nvf+x6pVKpCw0MSG0EnztQA1lNtevlSRzkk6Pj9fubMmcPUqVPZN5LDMCBZKBHxu6kzTfqSWWygWLbY3DPektxe41fHam5uPmow0YNYNQ+smneht7nqnTFyXEGRpUVZD5p62UWCWzWJWP6vczR0dOhYHAfdj6TyJfYPZzENKJZt1h4cxm0a3LjA4aQdbYDsKzHhhpwoP082XcJRgfFWZ/GLOjnbtm2WLl2K2+1m83f+hfiBbUQmzGTC+dfRuOB82s65kkO/u4fDT93LjOtucd7vcuOva+Lg4z/F7Q8x711/q/zI6tWrK7p6dMQNqEhs9U4rQcbEfwJq+KiOJooOjbymWoFYL9fBker5RzMZ9SB+JL3neaxSEatYYNIlb6GQTjDtDe9ncPtzxPdvZdo176/wI9Vt+fq56GignpzL+rZfZvf7uk9oqklWstgzmQytra3cdNNNFEYH6F1zP01nXcK8d/8dwcZ2Nd4gfnAn2DZWIU//WLZtmC4mXfIW9Rnd3d0V9T/pcMrn82rw1pk2mZwrEKy0hPb39ytdnqPBs4lEgh07djB/wUIe3tWPAQQ8LnqT2bFBc87ISkmazj77bBYvXsy2bdtoamqip6eHF198sQLy9Pv9pFIpkskkkUjEYcnnciclodFNnK3X61WaKADNzc0Uz3sjI7tfxBuq4eCTv6DvhaeYeOENtJ1zFW3nXKWcxs57vsmue24D28Iq5rEtZ6eTyWTo6emp2D3pIorCoznVZlkWo6OjKokplUqqnCrJjATiUCjEBz/4QWzTTbpoEQh4KOSKtEf9xIJe5jRHlDNpDHlpifjxu13qWFLOkusqOyY9mXk9JjSCdOgCZTC+o4/FYlx22WWkixaHEwVFoq8NeHCP+Z/RsVlohbLNQNp5zgxgar3TGm/bNgMDA2rN6Jw/CXTVHTh60JLNm/ge/bWClOrJmMfjqVDTlS4pWSuAQjn1DhpZ36bp6JfobcHyvY4Wb8SPzJm3gMd2D2AAQY9JVzyntI7k/Q0NDXzsYx/jrrvuYuHChXR0dCg+zrH0aartlTQbiHaYlDn0jjV9o6rfm8bGRlwuFx3nX0+qZz/YFod+dy8je7fQds6VTLzoRiZedKO6Flt+8O/sf/QnYNuUcmmwLQzDTS6XY3R09AieUzXfSS9t68mtXHe9q1NinlwDuc+6MrCsJx2VOZFEBrRu4GyS/HAvgdZWCuFamhacT9PC85l8xTvUd62bvoBU93484Rpg3I8czfRSmp5A6gn68Xzq6zqhOdoCkUzV7XZz0003YeUzrPn395Md6qFt8xrO+vMvqd2Yy+ViaPtzAJgeL1Oufi/dax+gdtoCGuadq7LItWvXKkhPnJ+0C8rCOdNJjWE44oKJRIJ4PK7KBh0dHfT09FQQWW3brsjA6+rqKJQtMmMtvnOawmzscoTXTGD9oWG64jnmt0SZ3RzB6/VSN2kmWctm8eJm5s+fzw9/+EPy+TyZTIZYLAY4jiSdThMKhU7JaAhBD2T3IbyPnp4eFp1/PRMvuoHd93+bHT/9CqGmDvU+naPQ+fR9jvMxXUy+4mY8ofG5XfoOWXRXwHEo+Xz+pCdo1Wbbtrqf4pyE6C0tmcKjsCyLCy+8EK/Xy2939JMtllnQEmXPUJpMoUyhbLN7ME17jZ9lE+p4sWuUHf0pmsI+Lp3hiEeuXLmSxx57rMLRSiDU1/vrzeR8oVKY0LIsgsEgl112GUXL5rHdAxTLFtPrQ5zVUVsR3IezTjLvNg2mxIJ0xbO0hJ1EUoLPrl271HXUd6wS0KqRIb0MJAmmmKx1va1eAoQEBwkQsl4E0RFfpqMxshnREyid1yHHqE5mqv1IplgmX3Ku3+ymCBs6xwdyrj0wRHciz1kdtUyJBXn/+9/PodEcedNk6dJmFi5cWDEM+GSZNC7oGxJ9HcvP5PwBBgcHicViTLvmfUy75n1s/cl/ker+AaHmiep9FX5kzW/BtjFcbma8+VZMt7fi+HqMkvdUE4N1DpMk2BLTpEwm91fujzQESFermJBwxTe8kpL/ypUr8bhdPPYPb6aUy7DwA59l64+/SCmbAgN2/fp2Jlx4A3Pe9kleuOOzdD5zH61nX8GyT/y38iP6QONq09eV/F/W2PG4qGceOjhNZpommUxGEVGnTJmCaZqs+tvryfQfxi6XCTZNUESywcFBipkUmb5DYBhMuOgGDjx8F/n4IDOuuwXT41Xw2ejoqHrQpeTg9/vVDTjVge1EzTRNRUCT2qTb7aahoUFB0fKaW2+9lenzFpH11eDy+HipO6H4FT6Pidsc08AYE9grWjZbxkjDyXyJdYdGeL4zTl/agW6XLl1KqVRicHCQnp4eMpkMtm0r1Ehn7f+h5yg7FJm3IyUgQVGee+45FehnXHcLl3/1UVb8w7cB6HvxKR7++AXc/+75dK55gAUf/CyxWUsJtU7BE64lO9SDbdv4fD6i0aiSnddFyqo5BafK9N2daTqKwBJYRkZGKpyjZVlaadR5vwVOQAX6U3kyxTK7B9NYlsVAqoANZArjpMNJkyZVOF25xjU1Naq0eDpQqTNhuh6Jfm/nzJmDjcFvt/eRL1nYNoR848KK+XyeVL5EvuSU9abXh9g3lCZfspjb6nDPbNvmscceqxiqqLfD60RRnQcF48FQvpf8TOdY6AFCXgvjSY98VrX4onyeJD86OlQ9aVsv6YuJH5k6dyF5fy0uj5ctvXElsBfyuHCNLZeiZXNwNEfRstnU44g8jubLbOyKs+HwCCO5shoxcypMOBvSSSTPsiSzOgkeYMuWLepZA5jzjr/isq88wrJPOOKcnWsf5KGPnsv9711I74tPsfgjn6d2+iLC7dNwub3k4oMKVRNpA/kj96s6mZHrLHwpuUfC25PnXHRtLMtSLdmCLsq6kM3O76M909HR4fhY6eYtl6iZPAfbsuh94XfkhvvY/8iPscolRvduxrYs0gPjzQQTJ0486nEFRdRBAF1+4ERixB9NQiOcGVmg9fX1GEApl8Zwe5jxpo8w+22fxLZtXnjhBWfHEgzTvvJaQk0TaFxwHuVCHquYJx8fxDCczp3e3t6KuqdAvZIcuN3uVx0MHwwGVReElAuCwSCBgDNw8rzzzsPr9fLE3iE2do7y3OGRiu6X/mSeK2c2qqQmMCbK5hv72+92jQ2og4jPrVpZpf6cTqdJp9NKQVjIwifL5HP0Haju2AuFAj/84Q/ZunWrIzRV14zpct6z6bufoxAfAtvixTs+w/ov/xmp7n2kuvaw655v8szn3qMc3cqVKyvurSSIhUKBmpoalTSdCrNtm5GREXWeMidLUDBBpHREoauri3K5zJUzG5lWH8IEVkyspc7vxsZBD86eUEtPMs9QxoGv08Uy6cJ4yUFHCiRxl+squ8PXo0mSKsFNnnUZb1G2HGe6uD3K7CaH7Llv3z4ymQwhn5u2qJ+Iz01twEPZdjoFZZxEPp9ncHDwiDJDdRIj36OasCtJj/xcF4AT/6OXKfTX6Z9VXVqRACIdUELMlHutrwlJ4HRbuXIlptvDE3uHWH94hA2dcbriTjOAacBgpshlMxoZcyP4XOJPnPMO+zyYpoFpGoR8TkIh89NOtkn5RtApvX1e5ykJkbZYLPLb3/6WPXv2MDw87HRS1jVjjL1u83f/hWIqDuUSG/7nEzz/zb8heWgXyUM72f6zr7DuCx9V12327NkVfJnq1n29U1YfcyHIs5QJs9nsEbpfclwdqf1DrbOzExuDi/7fvUy48Aasconlf3M7gcY2KJfwBKMs+tC/0vnM/aS6nXJc6vAuCqnRivUlppdU5fx0hFCQKX0zdSx7XZecYBz2k1owOByOvr4+6uvrueg/7iHZuYfmJRcCKAb2FVdcQUtTI+3nXsO8d/0t6f5ODOkMcI8TjXUHD6hFls1m8fl8ahjkq8kMw1By2vl8Xu1KwuEw+Xye9vZ2XC4XYa+beK5IY8jr1P1tm3zZZs9QhvqQF8t2JjC31wQIeF1MrnMGF3pcBm+a34ptg8scFyGUxSmkP9nVC1pzsvhG0qYuDmB0dLSCMxAMBslkMjz00EM8/fTTLF26lCVLluD1epn6hvey+97biE6ex9D25zBMFy3LLqdnw6MUU3F1710uFxMmTGDdunVqJ6TvLOrr60+4Jv37WKFQIJPJEAg47fIippfP5ysIgtKiWSgUePHFF1m6dCmZYom9Qw65e+dAinzJIhb0sKi1hpaon42HRxQa5yAI46WGaqcjJHNdpfb1ZnpAE+crO8ahoSFqa2u5enYTqXyJ1qhfBZwdO3bg9/uJ1NQyrT5EQ8jLYKaAaYwxzzTnfDQfoSNhevKg/07fycv3lO8KqIRT59FI8JYNl5SbbNuu4NXoZQk9cRGNGv2zpGtRL7N1dHTgcbsIeFxki2UaQ156kjlcQK5ss7UvqRSEXQZMigXxu11MGeuq87nGicLm2MZE2n1Ptuk8IP36V3Oa9Gc6m82yceNGwOEkzp07l2nTpuF2u5ly1Xs48OhPqJm6gKGtz2LbNh0r30jP+kcoZpIYGpomfBy99CSmE3kltkhyrQ/lFKRbUBzR/qrWg3qlaMzRbNOmTZx99tkku/Zw+KlfgW2z8xdfp5zPUDd9EfPe/XfEZi5h/Vc/VTnqQUOwdTsaCKCTouVZ00u/x7LXdUIjF6K6fS2TybB582ZmzJiBv6GNUPME53WlEt///vcBZ7Dc1h9/gYOP/R++mgau+NrjzLj+I9jlEg3zzsG2bfbu3XuEDLnsZAqFgtKkeLXC8IZhqJkx4XBYZfa9vb20tLRw1ewm8iWLgMfF7OYo6UKJ+7Y6EtfrDo3SEPJgW7B3KE19yMv8luj4YrVtXGO151KpxLp16yiVSkoGX9q4hX+Ry+VIpVInRSZfkBlBY3RxPYFgpQstnU6zZs0azjrrLDKD3Uy96l1Me8N7yY30M7RjA+VCngkXXE90wky2/vgLpPsOUcykcAdCFQFHiHYy2Viup95ieTItmUyqgFIoFJQisHSfZLNZvF4vl112Ga2trfT39zNnzhw13djnNilbNrmShWnA9IYwLWPBuDsxHtSumtVM2Ofsxjs7O9WuXu5zKBSivr5eKdy+Xk0fdQDj6Mju3buZPHkyIY+LqD+gkpnHH38cw3AUmZ89NMLh0SxRv5urZzczszGM12VSNzZipLfXeab09aSjJDoypqMz1Tt5STZ108tjgjzIWpXPEXmLauXg6kROAr7smPXRCHoLu7xORNeundNCsWzh97iYOdZB99DOfgDWHhyhJewjUyqzZzBNS8TP3OaI8tmixix+RG/3PdmWzWaVirzww/SuGz2Zlesglsvl2LFjh6NJM9DFrBs/zuyb/pzsUC+D29ZhmC7aV16Lr7aB3b++g9H927AtS43Q0Y8LVLTDS7DXkRlJPiXhzGazFaR1STgl/v0hpvOglB8p5vEEo7h8AUyXm0JqFMPlYvr1HyY2cwm27YjrARguNxf95z34ojFs2+bw4cMVpXngiITuWEn8H71SsBCmisUifr9fdYNkMhl++ctfMnfuXJqamhgYcBQsr7nmGgXB9j2/CrtcophJYJgms2/6c2Bs8GI+z+9+53Q9SWDRCcfgLIRgMHhmTvwYpu+qdFhaumCy2Swvvvgic+fOxev1EvCMB6+DIxkMA6XTmC/ZNIW9jOSKeF3jTjNbKLLm4Ahhr5tlHQ67XYK+tENKHXhoaIimpibFdzkZysGG4XRcCRIkDkGIdLoGTrlc5tJLL2XPvbex59d30LT4Qua/5x9Y9XfXYwMX/+evwDCpnToPDINI61Tc/oBKlkulkirV2baj8yPS6HrN+mRbJpNRu3pxZi6Xi1QqpaZbf/CDH1QBQcY0PLyzn9FskekNIbriWdrGOpymxILKYU5vCPNid5wJNQFqAuNo5Jo1aypae2tqaqirq1NBMRgMvi4RGhgvOVXX8guFAo8//jgzZsygrq6OeNzhfyxdulQ56d5kHhvGkkeDJe216pjFYpGtW7ceEST1xEX/DjDOfdGfZb3kLf/WSaWC0OiJjJSS5HjCIZGkRG/dls+Q76wTo/VygC68t2bNGhYuXOiUJqv9CNIfCUXLIupzk8qX8LnHJ0XnyjZPHxykPuRlcdvRh1WeTBN9Jp3kLueiB1r9Guq2YMECtv7g8xx68hd0XPAmpl71bp7+55sxXC4u+/KDANTPOos9hkHt9IUY2rMix5JEBsbJsfLZ+u+KxaIi/OqorG6yVv8Qi0ajfOxjH6vwI7Zt88SnryY71MuUq95N97qH6bjgzdRNm0/LWZeo9TPx4rew5/5vM/HitxAeGxtk2zarV69WybKct/gsfbMk3134WpJE8zJKwWfU+xiGETMM41eGYaQNwzhoGMY7j/E6wzCMLxiGMTT25wvGCUQ8WQgCo1YvzFQqxdNPP819993HzJkzaSFBrcemubkZwzComTwXxv4uphNjYw+ch/ree+9VIw/0GyNOz+12v2rRGdltyr910SZp777rrrt44YUX6OzsVLXY/cMZbBvqgh7O6qjlomkNLJtQxxUzGon6XGw4PEKpbNGdyDOYLrB/OEOm5CRMy5cvV2USSfqkDBSPx9VORHggf6jpgnoCveokYRh3ItOmTaN34+PYVpmBrc9SzI0J/dk2payj0VM3YzHXfncjF3/hPgzTOWZXV5cKFEIOtm2nQ+xoJMmTZXqJC8aFwBKJBNlslmQyyXnnncdoAX72UjeP7+53gkTZJlMsYxjQm8yRKVp0JXLMaopgjj0To6OjzG4K8/bF7Zw/1Rk0Z9s227ZtU5PqTdOkqamJ5uZm5WhcLmdG2uvRxGcIWiKJgfiRbDbL5s2bWb9+Pe3t7XjrmglEaqmpccZF1Pic+9QQ8pIvlSmVx8XQ1q1bpzSD5HOOxp0BZzPi9/tV+aEaeZHnWIKuTgQ2TVMNbbQsSz0PchyZ3i1rVpIdvYylB3QdHdKTG1n3sh5vv/12NmzYUOFHDgw7Ao4tER9nddRy/pR6zptSz+UzHF7eC12j+Px++jJlhjIFdg6kKFmoDplTablcTvHRYHwzpN8b6SjTS8yG4eiR9b34FLZVpnfjkxSzSTAM7HKZcsFRL29ceD7Xfv8Fzv/nHwPOhntoaEih45JA+v3+ivujX2dBlgVtlo3V0ZCY482yOp5dfPHFDG96mt+8bxHrv/opx48khh0eqWnSu+FxckPdDG5ezeTL3q44RIlEgjnv+DRv/OEmFn3oX4BxPyIaZXLd9I48OUcBFXTURp6/l7MzjdB8EygAzcBi4LeGYbxk2/bWqtd9BHgzsAgnO3sU2A/cfrwP8Hq9pNNp/H6/ghB1fQaXy8WKFSvoW3M/W3/0n5guD1f/7xoS3fsZ3LIGbJvhHRt56GMXYLpcXPj5nxNum8pNN93Et771rQpFWJ0cGQqFCAQCf/AFOhUmHBNRwXS73UpTAhyOSTwe54knniCfz3PllVeybNkyzplYx+6BFLObItQGxkWnbGDXoFNyaIn4aa8JcGAkQ8jrJjw2l6WtrY1yuazGEujaFplMpiIbT6fTf/AsIMMw1LwoHbqUQCR/yzmHW6eQPLQLK5/l0BM/49x/+A7YFrVT51XMtDGN8db/559/nkAgoBCaYDDocI/Gyk1+v/+UIBZ6u66gWolEguHhYbU7mjZtGluGMmMdTAX6EllW7RvCZRgsaa+hxudha1+SKfVBdUzLssAXYihToD7oVT8vFAo8+uijgMMVEN6Mzp+IRCKv24QGqEA6JMgLN0VKUdOnT2fXcI5tfUm8LpMbFrQxkMqrlu2ueI5fbe7BbRpcM6eZgMelWljlGRDHrSdM8jNJUOS76GWQo+mK6LL2eunCNB0NGb0dW4K0aJXobcry+XqJRf+9lJ70Mod890QioVp0r776apYtW8a5k2PsG84wvzlC2DdeTimUbfYOOX6kvSbAxLogh+M56gPesWnw5ikjBYu53W7VNSQJXrUytl4GBCqSyFBTO7mhHoqpEQa3Psc5f/0t3P4goeaJ48+t6VLPbrlcZseOHcpP6EmomLxO7wbVS0nV+kj6+/5QmzFjBpu/8S0ol+hZ9wh9m57huf/6OJ5wlDk3fYJAUzu7772DqW94r7o2lmXB8GESyT6ik+aon4sf0deU0A+q280l4Zc1LAn0q7Zt2zCMEPAW4J9s207Ztv0McB/wnqO8/H3Al23b7rRtuwv4MvD+432GHrwEKtXr0EJubG9vxxMIgT1G+DUMBjY9QykrvAAb2ypTzmd5+p/fiVVy4P2VK1cqhyHHi0Sc2RxyA16NXR8CY8pOTcpNOtFPd6Zr1qyhUChQ53dz7uR6asdq/5ZlUSw7HJu6gJew102N3822viTT60OsmBRTSUNnZ6d6KAuFAslkkng8rpyDoAxyf/7QnQU4Trq2tlZ1dJXLZQKBgAoAkowcOHCAhR/6F6dt33SROLSL+tlLqZ9ztvouv/jFL9iyZQu9vb1s3ryZn/70p+RyOQVNy72XMRe2bZ/yhNayLNLpNKlUilwuVyGkB9Ac9mHgwPrJvLNGS5bNS90JVu0bpMbvZjBVoDhWMsgULR7fM8gTuwcZyjjH6u/v57bbbiOVSikUQPhHksxYlkUsFnvVkd9Ppsm56+Je8mxLiaKhoQHPWOnVNda60xnPqrlF4OzGipbNw2McEtM0mTlzpvq3XhbSO25EGqCa51KNFskzrcvZSyAQXyjoQjAYPGLTIO+VIKoSeS1Z0lEBdV5ViOTRyKfiRxqCHs6dFFPcLMuyKJSdslPE56bG7yHoMdnel2RuU5ilE2oBTikpWKxUKlWUcvRp9XKdq5Wa5bpYlsXST/wPvpqGMT+yk8b551I3fZHiBP3ud79j3759DA8Pc+DAAZ544gmVrAqirJf49KGgslmRz5L/nwxf+XLWOP9cJwlzuUl27sUwDYqpOFvu+k/Wf/nPiXRMY2j7espFh6CcPLiDtZ9/P0//8ztJde+v8COJREJ9f129WOdkCToo11tP9o6XpJ1JhGYmULJte5f2s5eAi47y2nljv9NfN+9oBzUM4yM4iA4TJ06sgGdlmq1lWarsIN0ZzUsuJtQyyRkktvN5soPdNC2+kNxIHx0Xvpls32EOPvEz7FJhTC3Wq3gJhmEo5V0RZ5Jd+6vRDOPIUQjpdFrpF8C44nGpVFLQ8cqVK5k4cSKG4UjoG24vD+zox7LhqtlN1Pg9bOwcZdeAowTZVhPAbTqO1ufzccstt9DV1cXzzz+v5onIblDXgRBBqJOh3yOlP1Gn1AdUipjWCy+8wOzZsznvs3fRs/5R2pZfCThOeXh4mN7eXi655BL6+vp48MEHld6LQMKiJSFKudlslpqamlOW0MgDLnwZmdck/CDbdob7LVy4ELfLwO92sXcwhWVD2GeSyjvrcteg0+kUC3qYWh/C5TIZ62vCHHMkpVKJdDpdwdmQ4KZ3jTU1Nb0qy6u/r+l+pKmpCagUQNN3kTraOLHWz57BNH63SU8iR8myaYl4yRVtZjQG6U8VODyapWyN67zU19eraydJjCQd1aReHSHSy0nyPkEVdGRQfi73TZIg6cKUYCI8LEFsdcE2HZXQydH6uevcj6P5vmP5kbLp4eFdDofx2jnNBL1uVu8f4tBolt2Dad6x2HmOdD/ySpWDX4lJ44icg2z4pGSno2R6Et/b28vEiRM5/1/vpu+FVbSfe61K+vv6+gBYsmQJo6OjbNy4UZXWj4bIQGWXmS6JIGiHfM9TaXv27GHhG95LINZMqHUyO37xdaxSiVDLRNI9BwA48NhPMUyT+rnLaTnrElw+HxhgYGCOrUWJI7rpJU0YFyut/p2enB8veTuTCU0YqF6NcSByjNfGq14XNgzDsKu2ArZt3wHcAbBs2TI7Go1WQLXSz6/XgwHiB7apG7Tha39JITlCy9LLHFIozsVsWnQBwaYJuH3Ow97T04Pf71clJrn4NTU1KmC+Wk24MlICEmehj57XH9ZEIlFB8nO5XCRyRcq2jYGjFtwc8TOaHZd1d5vjzr92wnR8fg9LW1pYsGABP/7xj1VZSdqLh4eH1Tybk6kcLIJvsViMUqmkkCHZCWSzWe655x5uvPFGplz5LuW0S6USoVCIWbNmYWLT2NjIrFmzuOuuu0gkEkq7JxwOE4lEKqbh6rvkk22GYSjEyTAMksmk2lXKmnvyySeZPXs27VGn7LWlN4FpgMswcST1HLOBDYdH2dyb4No5LVw7txnLson4PRU7YtmBS0nC7/eTy+UIhULEYjEikaM9tq9d0/3IzJkzlY+R9Vxd65egPpQpki6USBfgmX2DlGxnRtYl0+sAmBKzmFgbVCVby7IYGRlRSKnOyZMgJ3/rxGQ9qZGkQhfh08tR8jrd/0ngkDlruhy9cOkkcRG9KhgPvkIilmRHL0G93LN7ND8ymM6r0vXag8O0RQPEc07gchnj52+6XEQ7phMIelnW0nLKlIPlGZahuTr6pSeScr5yLffu3UtbWxvBxnamXvVulexu2LCB5cuXO/fOtqipqaG9vZ2nn366gi+oc0SqycFSHpSyvfDZTrWJH2k79xoHSR8dxHS58ASjYJpgWc6U7bIzZTvU2M7FX7iPS8a4hsHG9pdF1qr5YvpmQRBIfU0dj5d4JknBKaCauh4FjjaZrPq1USBVncwczUzTJBKJVDD+q4lePT091ExbyISLbmDChW+m5axLAWhadAEwBp/aFv1b1rDvoR9SLjo11j179qjMvVgs4vP51E5d12p4NZphGASDQTX/JxqNEgqFKqbUVgfklStXEi/CL7f08sSeASI+NwtaooDBQLrIlt4kbsMg4nOzsC3K4dEs8WyRw6NZnjsc5/HdAxQt57hnnXVWBVJimqZq3a52kn+oyW5XZmvV1dWp85UyQrlcZs+ePaoDbvfu3ezbtw+Px8OG//4zfvO+xfSufxSPx8Py5cuV9opwpURvSGruR4PzT5bl83nVsdXf308qlVI7OdndJRIJbrvtNtavX086nWblpBjnTIxx2YxGrpndhHvsqxk46U22aNEVz+Jzm0T8HuWMpbNJ52QIkmZZzmTnCRMmvGrX+ckwHT2RAHe0DqPR0VGaw14m1QWZ0RCmOeKU/FojTlnSeS10J3LsGkhRHgtgAwMDClnRExA9cB4tQZF7ISTS6pZ6+W6iM6W/V5c2kORbT1LkWLKu5fUSVGUN6OJ8shE4nq1cuZLBnMUvNvewev8QDSEfMxvCgMP3erE7rspPS9prOTCcIZkvsW8ow4bOUR7b1Y9tmKdMOViXWhAkRC9F6SJ1QsaV8u/atWsVgptIJHj22WeVrtfqf30Xv33/Eoa2Povb7Wb69OlH3F+91Cf3W3TNZPCsjDc5HSZ+pK+vD9u2Oedvb2fxR/+Dc//hO1zwuZ9hep21bbjcUC6T7jvMwObVBOpbCDa2q4T4aO324ueBCv8h5w3j/CAdvXk5O5NeaBfgNgxjhvazRUA1IZixny06gdcdYaZpEgwGnRbksRKAKOXKRdq4cSNlGxZ84LMsuuVfmXzFO6idugAYdwrDu1/i4KN3c/ipXzG45Vksy2Lu3Llqh+R2uwmHw9TXO50hEkRfrWUn27aVMFswGFQws440CedIrKOjg4F0Acuy6UvmSeRLdCdylLW80ut28ca5LbhNk2cPDvPwzn6nZRMbt2niMp3dXUtLi9IukYdadiGyMzpZZprOrCWZRCtoSiAQoLa2lrq6Om688UY6YmESO9bhcbuYMmWKErwa3vk8AMM7NuByuWhra1M7auEiiNOXAKG3fZ5Ms21HmNDtdgbbpdNpFdSq15rshl0uF163yeRYEJ/bxaaeBGUbmsJeGkLjSeu6QyM8tXdI/X/v3r2qk0/KGBLASqUSPp+PWCz2qpMmOBWmk4BlbeqbItu22b9/P4Ztc87EOs7qqGV2c5S6oAeLcU5JbzLH/uE0uwdTjGQdXkRra2sFT0PvapH36RwOPZGSpEJv5daTH33zJlwNfQijJDuy6ZOgqnMYZE3Lz4Q3JWhu9W76eNbR0UFvqoA1ltzFc0W6k7mxYbdOkh30unnj3BayxTLrDg3zyM4+gl4XNuB1m5gGp1Q5WNfcEfVt8U96S7uI24ETV1asWIGZGWF461rCoRDnnHMOsVgMA5v4vi1gGAzveQnTNNXIEH0zopf8hVuYTqcVR05K86fTEokE999/PwC+aD0d570RdyDEtp/8F3apRPPZlxOZOAtw1t2Gr3yS57/5d9i2o5Xzox/9qAJF01FIucZ6sg7j5TY9mdG4na++adu2bacNw7gH+JxhGLfgdDm9CThayv1D4NOGYTyAg5L/FfD1E/2sQCCgZvmIVoZAdxIgfvazn3HOOecwY8YM9tz/bUb3biLVs5/Jl70NgNrJs4lOnoNVyFM3YxEul0u1rQYCASKRCMFgsKLO+mqZ4XQ0k/KE3+9XZLR43KnqhcNhpcmgW2dnJwsXn0WxbBPwmDy8ow/bBr/bJOQxyZctiqUS+WLZ0a8BfG6DxrCP6+e14jYNPC5TKQcL90MSTSG+yd8nw8TxRCIR1R4pyYyobM6fPx+Px8OTn307pWyamW/+KNPf9FG1Tlb83R0MbF7NlKveTblcZmBgQN1nWVMS1KUscyrRmWQyicvlwu/3MzQ0hGEYihBcbRdffDGW6ea323vJFMrEAh4GMg6cH88WKYxFEZfhyPGXtNLB7NmzqampIZvNqoClX7/a2tpXrTTByTQdkZFkTi8/SHJRKBRYs2YN06dPp62tjc09cYYzRV7sijOpzmnpbwz7iPo8uEyDWr9HEdd1566XHnS+hvxeAsDROmKqOR6AQm8kSOoNC4KQCp9G/KSUQnR9GkGiBbkVpEJ/Vk/kue3s7GT+oiUYQMjr5qEdDr/E5zYJe0zyJYtcoUSxVFZJjN/tor0mwHXzWvG6jFOuHCymI075fJ5wOKx4HHqgTafTzgYXi6c+8xZsq8yC9/5/TLzkrQ7XzDBZ8Xd3MLJnE1Pf8B4sy1JdidUcKT1Z1NvIJaE5lQrkx7Jly5aR7j/M2v/4EIX4IDXTFjC8fT0Awzs2UsokYYw4bJWKlMba1IPBIO9+97srSoOyfoUXJH5W0ChB7uW1ghCfSDw9023bHwe+C/QDQ8DHbNveahjGBcCDtm2Hx173v8BUYPPY/7899rMTMmk1FQKV2+0mFnNUC0dGRtTuffXq1TQ0NDD16veS7NzDxItvAsYgMF+QCz/3U3XMcrnM4OCgKjd4vV6lPyK791dr14fUh+X7ycJrbGwklUqpcQgyo0RMat9L2msYzhSBBBiOYFhubIJuqlBg71CaOc0Rrp3Tgs/ttDr7xwSzhJX/9NNPq1bnmpoatYhzuZwawXAyA6VpOnN3BgcHFXlXdDHq6+udgO0PUUwnKKQTKtAUi0Vqpi0kNnOJgp737NmjjtHQ0EA0GlXy8cFgsAKyPplm27ZKYERsSkp0equtruzZ2NjI7qG06nKSZAagNern4GiW2oCHxBhnIZkvsa0vwdzmKIZhcO655/L444+rMoTP5yMUCqk2bfker/eSk07KlFZT2UXq67RQKLB161YikQhzm6PkiqPMbo6o43hdJm+Y06xeb1mWmmUmx6kmAsN4EJA/OvFXJ2oLqgLjAny66Yk4UEHEFyRGyipS2pRAI8mT3g4uSZLOszmeiR9Z2lFLbzKvRPbyJUtN4k7Fc7TEc0yrD9ES8eP3ON83UOVHTqVysFgmk1Goqww41ptN5J7U1dVhuty4vH6KmQSFlCOyGA6HKZfL1M9bQeOClSphOXToUIV8hE4GVoNNUykloqfrtJwOq/YjO+7+EtmBTsBBqwEMl4fYjMX0v/Q0tVPmET+wDWyb0X2bOfjEz5l06VtVaVCfsC1rVe+ek2RZT2JkLUtJ9lWtFGzb9jCOvkz1z5/GIQLL/23gb8f+vGKTBzUQCBCPx1U9WfRCRkdHFUm2r6+PWbMWcskX71fv12vn8nCXSiX27dunasw6h0K6nHTH9GoyXcBJN4GVZVyADB/MZDKYpqm6FG6++Waam5u5bEYTlm3z+O6BCulGwzC4b2svzREfKybF1K6yt7eXQ4cOqe4EQYVkarU+wVeCxslAucQJ1NXVqdq2JB9CsKupqWH5X3+Lp/6/t3Dg0btpXXYZsVlL6e3tpVQqUVdXx8jICAcOHFBdTTqyJArBmprlSTdpI3W5XPT399PT06O4R+LsZMKxy+1hNFfGdLlJF8Z3dCG3QaZkE/G5OWdSjNnNRfwuk2cODJMcmwq9sz/F3GZnBEVHR4cKoCL2JSU70d35YzARi5Pygj7xWPcP4CQfo6OjdHR0cO3cFnUMXT9IHHm5XObgwYMVpSEx2bHLv6s5NPrr9BJSdTDQy086x0aQHL2EqKM0cm/lMwXRFmK4rHVJduVaHM90P9LS3Mwl0xuxbZvH9wxWvK5s2fx6aw8TaoMs7ag9ph85HSZlNjFBrGCcczM8PExdXR1n/+XXWPvvH2TnL79J85KLiHTMoLe3F8tyCMGjo6Ps3buXbDZbsYbkPkoCI1wZCeJer7dC9+xUmvgR0yqROrQDV1OjSmYA/A1t5Id6qZ02n7M/9VWSXXvxBMOs/8qnyAx0UYgPsfeB7zPp0rceszQo60dQTkGn9LWur0NQpOBXX8npdJpkyZZlMTg4SD6fVw+vbdsqSFiWxebNm5k2bRpARfLyyCOPMHXqVBobGxkeHmbv3r2qfhwMBhVJVLJ3cSCvRhMuSbUJpCyKtytXrqS+vp7Ozk7WrVtHIpEgkUhw9913c+utxQ5HqAAAbTlJREFUtxILOt1DjWEvA6mCWmWpfJFMscz+4QzLJ9Zhju3gDMNg0qRJAIo8l8lk6OrqIp1O097ejm07Cs6NjY0kEomKltbfx/SygMvloqGhAcMwSKfT6ncHDx5kwoQJeENRpXRpuh0SZDQaZdWqVcD4/BzpbJKkuK6uTl3Pcrl8SgTmZO3qTk7viBAYfOXKlXi9XlYfHKEnkaM14qtIaFZMqWdj5yjxbIneRI7WqHMPr5jZxEjGIWROrw+p4/b19amymrT+Sgnj1SoceSpM1pBIGejt03If9ITl0KFDtLa2qvdK8vLSSy/R0tJCNBolkUhw+PBhlYDIMcRkzcrfehdUdZlHF3/TW74NY3xKth489NKU+DlJWqWDTSf6SslR588ISqETN3VNnHK5XLHL11utdT/SEHLWYJ3fzWiupEYi9KdyZIsWewfTLO2oVUiQ7kdOZ1IjHJpIJKKuo84r27ZtG1OnTsUXiYEkk6ZbxZ9Vq1ZV3EsxHZ0RNfV0Oq1Qr+oW+dNh4kfWfv4WRvduoX3ltSQOjyusnP2XX+f5r32a+P6tjOzdTP0sp8njon//BUM7n2fXL7/J9Os+pL53dWlQT95lzcjzo4+q0ZFKXSrhWPbqjLinwHw+H36/n9ra2goJ92AwSENDAwMDA4pXcd9997FgwQJVoti8eTPpdJp4PF7hLEqlEjU1NYTDYaVDIy3c0tr6ajQhMVebdDL4fD4mTpzIUKZIX6rAnAULmT9/Pt/73vfo7+9XO6w///M/xzBN+lPj7ekuw6A16idfsmmO+pSkfsE22Zl26uDLli1j4cKF3HHHHQqRGRkZURwkcbSjo6MYhqE6yX7fxKZ61ENDQwNer5d4PK4S1t7eXlpbW7nkv35DuZAj0j5N8Yjk/krXhwRyvVsExtsuT3apUVp70+m0qjXLiAO94wIcwqXz4DvvHc4WyZcsBes/s2+QouX8uzeZo60moJxEXdDLxdMaKiD9DRs2qMRNEDTZnYrm0qsRhTzZJk5UgpGsG73cpsPnpVKJ9evXM3HiRCKRCIlEgkOHDpHP548ZgCVAirPXj1tNBta/j56oVHdBCZ9LD6J6EibPhohe6vcWxsdqyFoX7qGUqvRjy/rXk5lbb72VkYLNUKbIwiVnVbRa634kV4aR3Hg5wTBgaixE2YaJteM6NPmBwxz40ReYcMGbWXbOVaesdfvlTOYB1tXV4fV61TNRLBY5cOAAU6ZM4eIv/BqAcMskLMuZWeec17jSuDy3soay2SypVIpMJqOu+akWzTuWKT8y5lcGtq4lPzqEYbqxrRLr/+cT5Ia6MQyD4Z0bVUJjWRb1s85ixT98+7ilwer2d4lJOgFeTxq1RP6PG6GBcZSmrq5OCYJJkJMap3Bs8vk869atq3AkoVCoggBnWRZ1dXXU1NRUKHnK7vxUBLaTYTqsV23CpZHF88yBEQpli2yxzNL2KMuXL+eBBx5Qgd62bTwuF363Sa5k0R71EfC4aYn4qQt4CXhdlMoWT+4dJJ4tUrRsehJ5ptU73IsVK1awatUqdZ2LxSIDAwM0NjYqB2qaphKQE7n9V2rBYJDBwcGKsmFtbS2BQICRkRESiQSdnZ00Njbir29VzlkSiVgsVoFMyHeVJEu+k5SeTib3R651KpWqcHAjIyMV3U3SySW7mPOmxBhIFdjRn6Q3mSfgNsmWLPJlmN0YBgPmNkewLIvt27eTSqWU2Jlt2xw6dIgNGzaQz+cJBALKEcvuVO96+mMyndAomxo9wdC7jKQsraMuR1u/+m5V58nof+Sz5dh6h5McUw8I8n/hxlRLVejnIq8VjoI0NEgZRBJ/SXZECFPer4+UkfMGZ5fv8Xh4emcvtg2WDfOaQhV8CvEjIa8bj2lQtGwm1PgJet00RXxE/R6CXheFUpnH9wxSuud/sLc8zfDuF2lfec1R+Rmnw8rlMslkUiGX4i9knlewaYJKfMvlMlu2bCGXy6l7JKiWiBlK27dcS50Td7otGo0qP7Li7+5kZO9L7PjZV8kN9RJsnkSm7yC5gU5m3vBnWKUCky+/+WX9yNFQNDlHUevXExqdHK1zUeWYL2d/VN7INE3q6+tJp9Mkk0mFBohiLKB4FSJWBqiF5/F41G49GAwSiUTUja+trVUBTtjwJzOwnS4TGXfTNGkKe+mM52iJOPOeWltbK3aJIoR3w4I2iqUy92zpAfJkiiV6Enlao34Wt9UwlCmA7XQxTKwNqMXb3t6uSicieCc7FZm/JUGzUCiQSCSIRqOvOKmRVlWBycF5OPx+P83NzQQCAbLZLNu3b6e5uVkpJ/f391ckedVIjF7flWmxJ7NdW8pvOhxdLBaVJoWQN4vFotoN26ab7kSO5rCP1qif5w4NAxD0mIq47XYZJPMldg2kmNccYdq0adx2221HBAXhyYjDFlmCfD6vEvxXKwp5sq06YYHxTYs432M5W523InasDYWe2OifXc3R0ZMZvfSl8w9k3QuSph9bR1SE8FzdAi5obSQSYXR0VK1DOabesq2XDeT57OjocBDRkFOSbgz7jsqnED9y06J2MoUS92/rxQDiuSJ9yTyTY0Gm1odI5IqY864m0rWFyRffCJza1u2XM9seH/shm1mAeDzOvffey8KFC2lqamJwcJDdu3crREv4iZIIgoOYC/lXjn0mk5lbb70VK5Og/8WnaFiwkqYF57Hhq38JQLhlIpn+wximiTsUZmTXixx88hdMu+Z9x/QjL2dH48royYw8O4Lkj13nPyE0Yi6Xi5aWFtxut1pEolGTyWQol8vU1dXR1tam2uakhqxPaxYSMEBtba1y7KcisJ1OE1Kwx+PhgqkNWLatBjL29PQoxx2NRhkcHKS5uXnMwZoEPC6yxTKlsVbg4UyBsM/FvOYI2aLFWR21uM1x3kdXV5faEYID5Qphu6GhAcuyqK2tBZxEq1AokEqlnLELryBZlA6Evr6+I1Az0zRVkmRZFvF4XLWvHytYl8tl1c0UDAYVVH+yk1hprfd4PKpUkUwm1fwm0caA8Zr3I7sHSeSKTIkFWT4xxqK2Grb3pVjYXsO23gQD6QKFksXh0Sy2DVPrQ/jcbm6++WbK5bLiOSSTjr6lBDQhA8P4uJBXKwp5sk2crqx9HSWByi4jHa2R1xxvTRzt99Wfo/8tSYiOyOiJli7Qp3NpjlbS0hMZWcdyfOELydBKnZAqa0ASarlGupZKV1cXLS0tqnngaK3W1X7E6zLxukwKZWdOnA0MpPKcPaGWmY1hrIbzWXL9tZhGpR85EyYkcRlEKw0Mg4ODPPTQQ4p+oF/LYrGoYoTwY0ZHRysUg8+kiR954m9vJp8YZvobP8Dst36SOW//FAef+Dkzb/w4+cQwya59ZHoP0bvhUXrWP8LkS9+K2+M7wo9UIzP6Wq3uEITxZF3WkiQ5+rq3Xwam+aNLaMAJVDU1NUr2WxaU7DDkIdZ3N3INpRtHaqbSygqcssB2Mk1fUMf6jolEQu3ABTYtFousX79end+tt96K6faQyJeIjE3UvnZOM1t6kxSKZQaNAoWyxc6BFPNbohUBoFo9UnaKuVyOvr4+CoUCsViMmpoaBcmC40QFmXilyEA4HGZkZIRcLnfEe6Vck8lk1E7qWCiQ8I/kgbMsq2L69Mky2x5vrS8Wi3R3dxOPx1WdPZVKVZCBpebtkhLC2HcJ+9zEgh4CHhd9Y1ynkmU5k9B9bgIeFwZAsJYanyN4uHDhQu68805yuRyxWKyCPwRQX19PoVB43c1vOp7pu8XqpAXGSz3VPBf9tUezav+sH0926noyog+klJ/Je8Q3CVQvRG7djoYCyfnp7bTCD5NNXHWpSXyJ3+8/oqXYNE2ee+45FixYoDYp1XwKQQMMl5tkvkTE58ZlGrxxbgubu+NYwHDGaTA4MJJlcVvNy/qRM2VyXQqFgkK2dF6bkPgF6YXxOWz6zKhXg4kfMb1+sG1Mr6OvFW6bSu3U+biDEeL7t4JhYnq8BBraqJ22EJc/6Lx+YC81bVNpGeNJVvObZH3JetZVxy3LOoK4btvjE7dPhK/3R5nQCJ9GAnZHR4eC8kWpVrJD2eVIp4A4AQm0ojgsWffJDmynwoQIeDT+gyR0IscubZLr1q1Tyr7nnXceXq+XR3cPEs8VWdAaZU5ThHi2yI7+JPZYeSlftsgVy6QLJUJe57NKpRI7duzg0UcfPUI9UhxBMplk7969TJw4Ea/XS3Nzs1roHo+HdDr9iknCpmnS2NhIb2+vulfVvw+FQhQKBbLZ7BGTx+W7G4bTNZLJZNQMpz+EsHw0k2QmmUxiWRadnZ3s378fGC87CQQrsHV/fz+1Dc3UBdxMiQWY1hDGtm3WHhgmVSgzkB7fAdYFvJwzqV79/8BwmucOjWIYcMP8VjweD+effz6rV69W3AiZhyX1db22/cdg4nSPhtZA5eBI+b++EXq57oxjlaOqO6l0Am51MqOXmST51EUedXRHN52DpbdgS0eTfkydK6J3NcnzJG3dcr2SySR33nknK1asoL29/Yhdu3BsHtg5QLZYZllHLVPrQwym8+weSmPb4HEZlCybTGKEvJnGV9sIHNuPnCnTNWSkuUEfmSBSFBLMy+Wy8qevJuvv7ydqFmiYczaxN3+UjvOvx7ZtNnzt0xSTI4zu34YMsK2bsYT57/l79d59D/+Ybf/3JVxuH1ffsfaY/CZZN0Ke16drQ2VJVOdXCpJo2/YxM8A/yoQGxksNkinLUElw9Eoke5aLq9eIZZcuCI8kSCc7sJ0q8/v9JBKJYxI6ZRcaj8fZvXu3QgMElpbZJCKClSs6jjfq9xD1eyiWLS6e1sBvt/excyDNzoE0C1uizGpySKvz5s1TbdtiOjJWLBaJx+N0dXWRSCQYGhoiGo3i9XpVvVrUTV+JBQIBYrEY8Xhc7ab05FM4A6KzIXNcxDHppO/6+npHSOskozIidZ5IJCgUCnR1dTE0NFQhtiUTsCORCJdeeikdHR14vV5e7I5zaNSZxzSj0SkPeVzOekzlx1u39w2nmdnk/N6yLNymiT02YRvDwO0a50uFw2FVkpPSkwS318JaPxmmJw96fV/+L8mKjqjAsROV6p/ryI68pprzIj/TE5pqE1RZEikdja3m/lSfm/yRBEaCjI7GyMBaIXTatl1BdBUujvjEUqnEyMgIDz744FGvq6ABhbEuvHzZ8SOxoJeQ140BnD8lxgM7+ti2bQd7H/gii268hYkXvAmXx3dUP3KmzbKsikGfMN6WXP3zV4vprfVer5fNd/wdg1vXMrjtOSZc8CYAPIEQxeQIiYPbARtsOLTqF7SvuAoYQ158Y6iOx9ksvpz+THX3kiQ08resP6FASJI+to6PKXb0R5vQwPjgSgkiev1O2rBF5EgCiWEY6ncej0f9/Vpy7vJ9dQKfbjoiEYvFgPH2zVwuR2dnJy0tLVw+s5GhdIH2sdZfl2nwhtnNWLZNuQpG3dSbYFNvgvMnx+ioDfC+972PF154QcHFulbFs88+q3Z78pmChIkOSzqdpqOjQyEHJ2KCMNi2rdA4qGwTlNdJYJCAJeRYQe5+H3Lyy5nU0hOJBMVikd7eXvr6+kilUsoZiqibCOh99KMfVQmGbdtkXBkOx7O0RX1Ytk22WMaynRZYE2e0gc9lsKS9VgWl4eFhWhsbuXJmE36PC7fpBKL+/n4ikQj19fUqgZE/Ikvwx2I62qInHdXPjw6nV5N4q4+n/y3/1hMOHU3RofjqZEZeJ7IUMD5+Q55z/fUv12Wl8xQkcdIJyIBKeHT+jZQOYHzMgqwv2QwczcSPXDW7mdHsuB/xukzeOLcFy7bJFceIyE99G3Okk83f+Rc2f/dznPdPPyA2a+nL+pHTqVHzcnYmRhWcqEnZT/cjqbMvY2jHepqXXIRtWaT7D4PtqAIbLhdWMY8/1sKct32ywo+0X/BmaibNIdjYhjG2Jo6mP6N3sOroI6AQPxgXsxQdLFnnL9fp9Eed0MB4t4uIyonGgr7TkllNupN4tZeVXs4Mw9F2SaVSR6AcOoxdKpUIh8Oqw0i6gdatW8fChQvxe71MrAvSm8jhc5vUBjz0J3M8uXeQkNfFeZPr2DGQIpErUSw7i3D3YIqdAynaxvRoFi1yZo6WMQn4PBUcDhnCKHC2lIWk7NTX10dtbe0rSi5M0xkK53KNz6sRASv9QRHHLoiQ3mZ4MsuKklz19vYqAnomkyEej5PP5/F6vSQSCbLZrAqSxWKRiy++mJxl8uSuAZrCPpZNqGNiXZCAx80TewcYTPdRKJXIl8HnMrlwaj0ulzM/SOwHP/gBqVSKW2+9lahvnOcgcH5dXZ0qK4VCIYVCynV8LT8Dr8Skji8+QQK9lF50FLeaN/NyXLVqxESuZ3XCIiWf6uPoyYw+PFK4M9XaMy8XWIUTJsFGJnDrKrWSzOvSD1ImkHPJ5/MVbeN6olTtV2UEQtDrJVwToCeRI+RzE/W56YpneXrfELGgh3Mn1bFn2TXkB/dTzibBttj3yI/Z9n//7ejRXPwWFi1a5NyTTJxgrFn5kdOtUfNas5UrV5Lt3sPa2/6etuVXMvttn2TyFe/EH2thw1c+yfCu50l27qWcz+BvaGPFX38LTJNI+3R1DN2PRCbNPipfClBgwdESc6FtSNwR3p6ABjr14+Xsj8MjnYAJNyIajRKLxY74I/L8L0cYfS2ZlFYkG9ZN9CgkO5bAJq27hUKBO++8k4GBAbrjWZ7aN8Sju/rJlqyxCcKQzJd5sTvB5TOauGlhO5PrAkR8LgIeFwPpAi91x1Xn2P7RAvdv72fV3kG1iFesWEGxWCSZTDI8PKwGWeqD8gzDYGRkRM3COVETZE40VaSDp6amRg1crKurU4mLdDIIZ+Zk3X8Zu9Hd3a0QKam5i/ijTPoFVMnJsixnF5rIEc+V2D2YpmzZbOwcZfWBIbAhVRhXEs6XLZ7aP0RdYNwZ3H333XR3dytxs40bN9LV1cVLL73E3XffTT6fJxqNEolEqKuro6mpSaFhp3K8w6vR5JxlrQiCoaMVutCezlepbqfW/+gOXhKW6t2q3kKtm7xH0GL5ngLjHw2VOd66le8j5yf+Tufo6OUpPZHTUTxBb0SsT57N6mdU1t7AwAAHRzI8s3+Ih3f0U7JsBtOO8vhQpsiO/jSXv/V9XPPtdbScfQWRCTOxi0VGdr3Atp98UX32/l/fzuOfuIyN3/hrdW9WrjzarOM/mVhHRwedv/sVqe597P7Nd7Ati+e/+Tds+s4/YwOJQzthbN3kBrtZ/9W/JNoxQ72/2o9s2LCBzs5ONm7cqJJJWYtSapJnRNaIbKKEGyhVD4lRsqk6kUaQPx6v9Art9ZC0vJwJ70e4GnrmKwPq9F1mLBYjnU6rsRFCnPa6xvkXLgOmNYTpSeboTeTJFsvYNpRsm654lqIFsYCNz20qyX3DMEjknV1gckwp1O12q7Z5USbt6+tTbcMyWFScqkyfjkajr6j8dDxkToKDoEJ/aFlRUJ5cLqdQr0wmo76/BABRABYOggQFHUHq7OxkzsIlDKQKNIWde7d70CEZtkZ8zG6OEPa6eGRnP/myjW1DdyJHW9SPZVn09fWpYyUSCR5//HEF7Upy197errRo9OfhVI13eLWaoCDicCWw68RYXY36eCWGoyEtOldFflb9f1nz1cmUTuSt7oDSP08vax3re+nIm8/nU5sbQWf0wZTSNCDrU/+9/pqXuyaJRELzI+A2nRLp3OYI/cksQ+kiybHBqcXUKAObV1Mu5KmdtgBvNMaE868HnGc12bkbwzRJde4BzpxGzWvJOjs7mX3lO0l27aF1+ZXk44N0rX0QwzRpWXop06/9AC5fgNX/9l5K2TRWMc/g1nU0zDvnqH7kaBo0+prTu5f0dSnJsLS/6117Qo+Q9fsnUvCf7KimE6Nlsq7erqlzWMLhMLW1teRyOSU42NPTw5KWFq6Z04LbNPC5nd1cQ9BLb8KZojuaLVCybIpjS/DgqPPe7tEsTHIW+JL2GmJBL80Rp5whtVcpswhKMjQ0RHd3N9FolEAgQFNTk0pibNtW+kCvxPSHCTgioTkZppN95XwEmpdkslwuK57M0NAQg4ODChmS76nb3r17Wb58OedPiZEtWpgGLGyN0p/Ks7itlv0jaZrCPm5Y0Ma+oTQbDo/yzL5BLpvRRF3AfUT3gZQ29C4ZvfwgdqrGO7yaTc5Xyn16uUVvIdZr/mI6YnMs0wnG8nm6doy8V09a9PdIeUgna+tJjd4GfqyERi97SclKSm3VnSh6+UsvS+nHltKUoEU6t6g6uens7GTZshbeMLsZn9t0SOq2TfOGH5HsGcQf72Y4+JeU8lnK+SzYNodX/RKA3uefZN67/w7btln0kc/T8+yDNC+5GDizGjWvFRM/suxTX6WYHMVb08D0N36QROceZt/0Fxxa9UtazrqEN9yxln0P/pDtP/sqz37xo1z8/+4l2DzxFas0S+ILVKCB+tqW9SGdevJajQ7xp4TmT3Z0OxYxOhQKKaRAgrCUHEQldOPGjcybN4+gpjNhmiZBrxvDAI/L5PHdA4BBU9hbMfPJ6zYoWw6R2OMymd4QUtC+XnvV1Zrl80X0bWhoSE3KzmazqgNLCGS/7/U4mSZdD9JJZ5qmQoNElMzn8zEyMkIqlWJwcFCV2ICKxFKsra2Nd7zjHRTLFg9s7yNftljaUUtfMk+6WGbXYJK9Qxl29Ke4enYTsaAXwwAMA5/b2YHLzlUnf+qcDpmoHQqFKq7lqRjv8FowccJyrarRPElmdP2R6u6iaqvmEAAqUdSTED2J0UtAgEpm5Dvox9b5cMfqjDrad5LPlM4+feaQXAu9bCbJlKzZ6rZu/b2SHOqkcuHShKr9SG09nod+iLehjTX/8UGwbWqmzCW+b+v4dQ/XYpWKmG4Pvkgdk694p+LrvBo0al7NpvxIOs4Tf3UN5VyGJR/7fwxtX08pl2b3r/+XrjUPcPDJn3PRv/+SmmkLnHvq8eIJRir8yPFM72SSsqSe+OvJrsQaHe2TNT72sz8J6/3Jjm1HK79IB0c8Hq9oy9R3g6lUiu9973usXLmS6dMdklgmk2FyQwNBj8lzh0fJl8A0bLwujegIZIs292zu5vwpMTymSSzkhbGA8KMf/egIIp84QOmckNprMBgklUopvZpSqUQoFKKmpkYRes9U8JU5TOVyWT2QQvoVuLZcLjMwMEBPTw/ZbFYlZhKIIpFIRefGpk2beP/7309vMs9T+4aUBvi+wTTDWecaHSiMd5U8tKMfgFq/h0tnNOJzO/wG2blWdxrYto3f71ckYD3Be62rYP8hpqMeYoLUSPCWxEFM5wsczaqREx0l0UtH1UmM/Fs6iizLUiRgqEw4qpMZ4bcc7ZnQoX1ZFzKwV44hiIvoIcl3EfK+rF1dMVjXrtGRKDHhX1xyySUVfmTK1e8l1DKJLd//d+xSEdPjxRuqRXRQDJeb5MEdPPSx81n+6a/j8vipmTIXTBc7d+7kkUce+RMheMyqp55v2rSJ97/vffSsf5SNX/8rsMrgcrP/4R85WjMGpHoPAjblXJYn/uoNANTPW8Hyv/wanmCkwo8cy3Tulb6u5NmQBFZHFKtRQP1nY77nTwnNn+z4Vl1+CQQC7Ny5UxFwbdumpqaGkZERFdQsy2LWrFmkSwY+j4v6emdW02iuRKZQxgYun9nI/qEM4HQVuU2Dsm1jWbBqrzOFdkKtn/OnNOByuVi4cCGpVKrCwe3evZtVq1aRTqcVBC48FFHgLJVKTJs2TXFPcrmcQhlOt0aQZVkKddFRlkwmw+joKC6XS51LT0+PGsOhB8doNMrb33cLm/sz1PtCnH12K8uXL+el7jg7+lPqqTaAoWyRgNskFvTSk8wd8X1ShRI+97jeydq1ayuCrx4029raiEQiFTv+14IK9qk0PdALZ0Wg8WoUTS8zyTUWBy4m6IXu5I+mMaM7dTm+OHY9mamG5vXXvxJemZheahKROOF1SQLj8XjUZGj5GaDQSLkOErSOV3qbNWsWyRKEfB7qx0qeI7tfJDvcA7bNJV+8j+0//YrkM3hCtZSySUrZNGv+7X2AweQr3sGC9/8T9fX1JBIJ2trauO6664jFYgwPD3P//ffT3d19Qtfj9WLRaJS3XbyM3T//Ilx3C2efc5XjR+78LId+dw9IBccwGN71PMGmCUQ6ZjCweTW2YYCWkKe69uIJOlxG27aPi4DJutefEX0QKoxvqmSzLAm9Ps9JJsD/CaH5k/3e5vP51AiEeDyuWpZFC8br9bJ48WLiBZun9g8BBtfNa8Fn2EyqDdCXzFMX8BAL+nAZBrsH09g46fU5E+s4NJqlK+4EXxHpM02TiRMnMnf+ArYP5VjTmWZ+Ww2LFy9mzpw53HbbbYo5Lw40m83idruVtszEiRPV2IpgMKim4tbV1R21S+1k8maELzM8PKwGbMrDnE6nSafTeL1e0uk0Q0NDZDIZRkZG1G63XC6r3dT8+fN5oT/LcLZIsmuUoNdNfdBLulDGMMClcSxKlk1twMOF0xo4PJrluUPDFMo2UZ8Lv9vForYa9f02b95MPB6v6KixbVsJDwqXRq7NqWhXf62ZnsDoiIrcM/3/1a3M8m+9+0gvYVWTdXWkR+6Rruar68DIJG15bXU7ffX90pGbY6E08rc+0FVmD8n5CoKkz3jSExdAfU8p/+hjAapt5cqVDGQtnj00gmEYvHl+K4ZtM+nStxHfv5XGhecRbOxg6hveR9faB2HMkyz8wGfpXPMbBrc8C9gUEs77Y7EYbW1tvOdtN7Lt7i+zq3sfc9/519xyyy18+9vf/qNIair8yJc/RuLANrb+5Eu4AyFiM88iM9CJYbpweQNYlg1WGQuon7OMxR/5d7pW/4YX7/wnrFKRmklz8IQizHu3owwsfuREELBqzll1279waGRt6utTfidt3GNr/U8JzZ/slZthOHo1mUxGzWuRNjqBC1taWrC0Wig4TtTnhvMn16lFnC/ZiPtsjfjYNZAiUyjRUeP//9t78zA5zurs+/dU7/sy0zMjzWgfbdYuyzbICMsYgzCLAZOAMWtssyRAkpeQFxIIYXlJQr4ACRAciFlCjFkDMbsxCG+SbcmLZGvfpdFImn163+v7o+bUVLdGsmzLkgY993XNJU1PdXdVd9Wp+znnPvehJeglGfRSN61tYrEYO4dK7Bu02pU3HxnmNYum4PV6bRFavV6nUCjYqXYRIGYyGftxKfe4XC5bUNzS0tJQMnEKO2XfxQX6mZarRC8j09qlvCSu09J2LfszMDBg/10uZDHM2zlU4pFjeealwqSLVTwug/v3DxD1ebhmXorEgIdd/VmUqSiMOa3GAxYJ6Yr5CXenODpaYE5rmIBn/AZbLpdZv349MH7DERFwPB4nEAhQLBbtuVlKTS4X7OcDQgomOlecOhHgpJlGcLJRXrN2RoK3MxvTXF5yEhl5XDIzzv1w/v1UuplTfY/N+yU3ECFJTgdhsaL3+Xx2Jsd5k3LqcJrLZhOZMnZ1dWG6GsmXYRgEWqdy+V9/1X5+YfAYyu3BrFZoWbiKQ+t/SGHoBFNfeB2J2UuIzV5oE73Xv/71bP/OP9Nz//8CsO3b/8iLP/0DXv3qV/Mf//EfE34GfyiIRqO8+13vYved/8xT93+LOa94G5XsMIY3wKbPvZ/EvOWs+sAXOHjPnRz8zZ0YCsojAyjDRaRrLkopOq98FcH2aQxse4iZL70Rb3h8UeSMI08HIdwej8cuO06USWy2LpAfycALydYZGo1nDckmiMlctVq1MzRS2pk9O8G189rwjE3crtfrbN++nVwuR2dnJ263m9bWVq6YkSRbLPPkiXEL8BOZEqVqna3H0wTcBpdNSzAlGiAVgl39OQwF81NhgAYRmghqne2kcrHs3buXadOm2VOqOzo6bCPBQ4cONfjYuFwuIpEIoVDI9jmo1Wp2FuhMy1W1Wo2BgQF7IrasXKrVqp05UkpRKBTI5/MMDAzY7bCCer3O6tWrMQ03u/qHABjMlZndYrVID+XLGAZ4XQY+l4tSpW4vVQwFXWNOq2CRm0TQe1KLZPMNWQiqOCG7XC5bqCwp3ouVyDghN3NnxkNu4HIeyXbO0pPgTITBzYTH6RDs1BRIYJcgL9kfJ5lxEqSJ3tMp0nXC2Y4O2OWmUqlklwpEFC3k3OfzNRhVOl9TXk/+DzSUGwTS6XTNvDb8bgOPy5gwjrStuJpl7/wY6d4D7P/Z7fbzh3ebZA7vIvvdgwRap7L81k/TsnAV2QWX0nP//2J4vMxe91Y7e/OHjtWrV1MePMqRe3+EadYZ3LmZ7lf+CdljB8gc3onh9uKLJjDcHkrpIbvs5PIFSS250v7+E93LSM5dfto48nSQ883pQ+M8V2HchNHZ+WQYhh2XRA4RDAZP+14XZ/5Y44wggVSCp4hb29raaG1txe/3s3v3bqrVKvGAh3ylxqYjw+QrNbq7u9mwYQO33347d955J5VKhRmJANny+A086DFY2RWnWrd8UvKVOpuOjKCUoise4I+XdfLHyzqZ75g71CxCc/q6iOlcLpfj+PHjZLNZhoeH7ZlQ5XLZns8kPjulUomenh727t3L/v37GRwctDNRbrebbDZrD4l0wil0LBQKHDlyhBMnTlAoFGxRdbFYJJvNUigU7N/FNC8UCnHttddyyy23sG7dOttjp6uri6DPw6xkEK9LUamb7B3MEfK68LoMFrSF2TOQJeAxcBvjN46aCY8eHaEvW6JcrdOfK9vjJx45MswPthzl8HAen8/H1Vdfjd/vJxAI2EQuGo3aZoItLS22M7YmM43Er/lm7WrKTsrjzu6k0/00u6c6y1nyns7ylNNwzJk5aiYzT1caPN3fm49RDPZE+AvYMUEyQeJWLMTK5/M1lM3k83CKQ50kbcOGDVQqFZIBD9ntG9j6jU9RTg+eHEeqVaZd9Xoyh3fZ+xho62LR2z5CtVzArNXInzjMU9/+DADT176BV37zCV75zSeYtuZ6TNNkaGjotJ/NZEI0GmXdunV2HIlGo4AVR6Kds+m49CW4A2Gq+QwH7r6DYNs0vJEks19+Ewd+fQfxWZfYs5dQimohw7b//keG9zxBaXSQod2P27Fv87/+Bb+4+TL6n9xgx5EzgVOc7jynpbQt53Kzjqx5WyHOp4PO0GicFlKrD4fDdtlE5sbEYjFyuRxHjx5l5syZPHhgkGK1Tqla5wXTYnZ5SLoYPvCBDzC/LcKJXJmQx8Xa7lbchkFnLMDOvjT7B3PMb7OyMfsGc2SKVZZMjeJ21FSXLl1KPB4nHA43zGuR1WGtViMQCJDJZOwLSTqHJAOTz+dtzY2zzi9Gd4ODg7ZrsHR+jY6O2h0fkl6v1+u2MV42myUQCNhlp1wuRz6ft/UFMnxzdHQUv9/PzTffzN6RMoMoVl56qW3TLvNtXjAjSaZU5fGjI0yLBdjcM0K1bvJ4zyiFMb3RwrYwB4cLtIW9HBkpMJSv8Pu9A/g9LorVGgvaIsxtDbN/rHS3vS/LjGSI7u5u7r33Xnu1JMRGjPV8Pt8p53xdrJC0uRAOEUnL59SsgXkmcK58JfviJChSbnGuXGXbZ0Nm5LkTdTxNpLGR7KwYQMr+yBBXeW9nFsvZsi6fk3MitfNfsDqddu7cydKlS9n0hT+nXrHKnQvf8uEJ48i8176HzJE9RGcu4PK//DcMt5fk3OXs/ent9Gz8BbPXvQ2Afb/4JuXsCAtueB+4rO8wlUrxvve9j2PHjpFIJC6ouU/PBNFolHfdcjMHf/o1csejXPrKd54URy77i38lfXg3O77/Bbpe/Doe++IHMWsVtnzj0xQHekHBnFfezNENPyMxbwUnNv+Wgace4oEdm/EGw1SLeS658YOkFr+QY4/cDcC+n3+dtqVX2g0bp4LznBbS4sw4OvVjQlycZF66+JweS1pDo/Gc4Pf77aAdCoUol8sUCgWCwSDlcplgMEgymcQwDKbFA+wfzDEt5j/JpTOdTjMyMkIymWRJR5QdJzL0Z8t4DEW+UmN2MoRr7DXy5Rqbj4ygFEQDHmYng+TLVbxuy4493DGdgVyZZStWnjSvRVLhSim7y2l4eJjh4WFisZjtoSPkRla7zTeG4eFh8vm8XY7KZrO2G7G4+g4PD1MqlRgcHLSfMzg4yMjICDB+83Om6MvlMi95yUvIVBU7+qzSW1vYR2vQsmnfsGEDy5YtwzAMIj43a2a1cCxTolq3rmEhMwAHh/KsmhanPeLn0LBFnEwsp9WxA8HjUtbAybrJwrFMl7Mc4Tx+t9tNIpG4oIfpnS84uzOktFmpVBpu3rLdM0nLO4O+s4tKNGrNNwBn0HcKgJ8JmWl+72aB8ETaG7ne5fidoyCUUg3lJiE9TrInOiBnSUvKTnK+pVIpDMOgY+XVnHhsPe0r1p46jsxfyZxXvpPD63/A8L6nMGs1qoUM09fegDeSoG35GutG/r3Po5RBYvYSOlZdQ2HwGL5oC8lkksLuR8jsXM+KV/7JpJz7tHr1akZ3buLAr78NZp32ZVcS6pp3UhyJTp/H5R/8Mkfu+wlmzSKgxYFeZGp27yO/YuWf/hPBti6OP/JrwEThJOh1PKEohsdLvVplzitvHnv89Oe3ZODke3dmJJsJjZOkS0OHM8spFhzNi4dmaEKjcVo4u10klexcmY2OjjI6Oko0GmXVtASrpiWAiV06RUfy1PE0uXKNJ4+N2rOf5BTd05/lVZd0EPS6yJdrlKs1frenj76c9X6vXNjO/futVm+XUixIBVm7di3lcrlhym4mk8E0LU8V6bwolUp2NkIImqxQJYNSr9ftcku9Xqevrw+3200qlbLbrmu1mm1CKK2ppVKJo0ePks1mGwK5BG7R+4CVDk4EfYS8Vso+HvDgdrtYtGgR+/bto264eaxnhGmJIDtOpOlNl+zPUAExv5tcuUahWmdzzyivXRxkUXuEE9kSKzpjRHweRgplUmEfCnjt4inUTdN2cj548KAdKCRIeL1eWltb8fl8FAoFnZ1xQIKyZOWcotd6vW4P1ZPvvZnkNKO5nVrOP+kgUkrZui3RFkjwd/44g/upBMBPB8nSND+mlLL1aTDeKl4oFOzFgIw8kBW1ZCOd++rUzzTrdkRvJAsEySqs+sDn7H05XRzZ/eN/p5JLs+cn/8HA9ocwazXMuvV+PQ/cxYs+cSfeUIxKPk1h6AT3/s3rSR/aCUpx9T/dxeNf/hAYBr5YK9Ou/qMJ48iFTHC6urpIBj34Yi24/UFC7TNwu912HKmO9rHnV99m2prrefJbn2F4z+P2c5XLRXT6fLK9+yn09fDkNz/N2n/6X2a+9EbSR3az5O0fxRtLkus9QHLBKgBe/pUHMes1vOEYpmmyd+/eCfdLiEyTGZ59bTgXVM0WB07tnmjIpNQkP+gMjcazhbgGl8tluztIAlgqlSIQCNjdRM7gVK1WT/IoOHToEKlUiuVTY+zoy7CkI8bGQ0OUauMBtVitc8+eftvD5onexoCSLVVpDXkZzJdpC1s1++XLlzd0XclqS0Y6OLMvMvxR5lXJDV3Sm7VajUwmQygUstuV6/U6/f39+P1+KpUKkUjEvmCHhobIZDIcO3bM9t9wtreKs+7atWvtQNnf309HRwevuqQDgFrdIj7BYJA3vvGNPHBwiN50id0DligaLCIzPxWmPeKjPeLnWLrA5p4R5qfCDOXLhH1uFk+JYoyteNojVmYNZc3Y8oytmMvlMg899FCDY6eMkQiHw7aviSY0jXCKf53BWTI3cv6LRqtZRDnRazW3ejevXGFinU5zq/ezJTOyLxOVnpxiXvndaZwHFrEQYi9lSmnzbyZfcpNzkjmnMWG9XrcdgyVjeCq3X4kjl7z5Qxxe/0PmXPcOhnY/RrUy3myQ7d3Pps+9n9LoAABP/ddnxv1WTJNKIUukq5vc8UMkupeeNo5cKKSm2Ryvv7+fjiVLuPbffgtArVK248ib3vQm7v/4mxjd9yQH7v6O/RqG18/sV7yd1KIraFl4GUc3/Jzt3/0cs1/xNob3biExdzmL3/YRlGGd5/5Y63j3mj9onyvlcpnf//73E+6nfN/Oc8p5vjtjMYzrsYS8iDbLqVubyF14wvd+pvXeyYRVq1aZmzdvPt+7MekxOjpKOp22b3ZOiI6kXq/bQtO+vj4eeugh+vr6GnwpotEo73nPe+yAZZom1brJXduOUa6Nt3W7FFQnOC0NrHLK6pktdMb8HBkpUK2bhDwGDx0eYUYiwPLOuL1P27Zts1dZku6E8ZuEiB3Fo0aCsgRSZytsLpfD5/PZxnIiejx8+LAt/AXsjIxkbYLBIO95z3uoGy76shU6wl6Uad0ovF4vQ4UKv93TT8jr5rqF7Sjgnj19DIxlpAIuUIbBsqkxZiZD9nvA2E3BNPnBFmsFu2xKjPltYUYKFTKlKlOjPqqVCjt27KCtrY1jx47xxBNPUCwW8fv9drkwHA4za9YsDMOgUCgQjUZpbW09W6ePDaXUo6ZprjrrL/w8Y9WqVeZDDz1kk1QhKzAurm3W0Ey0bXMpylk2aiYTzSvZ5veT/58t0XbzzCkZlOrMNMmg2EKhYGcpZVyHjDOQkrTzMwBswb6UXp3ZKOcCQG7anZ2dHD16dMIsyYRxpJDl1+9dQ71SwvAGqFfL+GJJSsP98mFZBnGmifL4cXt9XP5/vkRi/kp6HrgLl9uDKxBm6+0fZ9bLbmLua26dMI6cL8gx17JDDO/cTNvKl2C6rAyI1+tl4KmNPPzZdxOdsZAXf/r7APzuQ68i17sfgOCUWdQrZZa982O0r7gKaDwPy9lR7v7TNWC4WPonH2famusZObCN0nAfqeVXURmLI6lU6pTfi6A5sygL4WZBea1WszP+ossMBAL275IVjMViDdt4PJ5TxhGdodF4WgQCAVv/0TyZW0o3lUqF/v5+Dh8+bM90ETIgqzYR9a1evZrp06fT3t6Ox2WwdEqMnX0ZVnTG2TeYozddxGMoDKVY1B5mZ3+WfKVOHcC0unau9rWy8dAQCkiFfeQrNXYP5FjeGccwDMLhMKtWrWLp0qX893//N0uXLqWrq4ve3l42btxoO/Mmk0kWL15MZ2cng4OD7Nmzh1KpZPtnCFGTMpvMkXK73fT29pJOp0+6eUn5AWDt2rX4fD5+u3eAoXyZjoifNbOSbN++nZkzZzI2q5NsqUq1ZjKQK1Esj2esCjVo9buZmQzZAejw4cNMnz6dfLnKQK6M321QqNYJ+9zUTfjN7n7AZGVXnJlxyz/o29/+tt32KDXqtrY2QqGQPTlbVtjScaUxDif5kO9bMgvN5SVnSUjgJDwTCW9h3GzP+VgzkXFqDs5mB5pcp86W7+bH5D0luxkIBKhUKradg1MrA9iPyUrd7XZTLpcbjgNoaBM/1cRmJyaMI8EI8274M478/kcsecfH2POT2xjc9SjuYBi3L0T39bey6wdfopLPYFaKVCpFnvjPj7Hs5k+w9et/DybEZi+mOHSC/b/8L+a+5tbTxpHmklRz9uRsEyCJI+s/eiuF/h46Vz/Msnd9ejyO7HsSlCJ9eCdmvcaxTfdQK+bs5+ePHaB95dW0r7jK/k4OHjzI7NmzyfUfZWTvVtyhKNVcmmBqKuXMMA9+4iaUMljx3n+k7dJrKJfL3H777afZy3E4u9mau92cehohN9LtJL9LtlIeE2Hw053zmtBoPC3kZAqFQnbHkNP3wlmCqtVq9Pb2ks/nbSGhM4g5A9YNN9zAokWLmJsKMzc13t0EUKlbwrTHHCWnoMegUKkzpyVI0OPCbRjUTZOFbWEMpZgWD9A7WmDTkRHmpcIsbLe0MO94xzvsrExHRwfLly9ncHCQvr4+5s2bRxWDY9kyM+YkmD17Nt/97nepVCpEo9EGA79KpUI2m7VvZIVCwfbjcd6wJLjNmDGDllQbm3pGKFVr1E0IjA2HXLRoEbt372ZO91wqtToxv4e+bIn7Dwzar+NzKco1k9Fixf78jh07xvHjx+nq6mL93gGy5SozE0GWTo1ZHkBjQuByzcTvsUSlU6dOxe/3222/wWCQ9vZ2EomEXTIBbJF3cxZOoxHOoCw3B+cYhIngzLY4X8eZkneiufPJ+RrPVzlwIlLjLA3JdZ7P5xtKAX6/387myHUg2U1o9OtxHovctJzE8EwrBhJHotEoN910E6lUinmvuZV5r7kVgF0/+iIA1XyWaiHHU98aKzkpy6yvONzHjGveRDDVieHyoAyDBa//M/b+/OvMvOaN9Gz4Gdu/8y/Mv+HPmHH1G06KI1OmTOGyyy5j69atbNq0ibe85S1UR/oY3P4Ayy5/+VkpVznjSDIS5PHbPoxZtaa9+5PtDXFk9rq3olwuEnOWcuS+n7Dlax+zX8cXT1FOD5Eea3WXODIwMMDMmTN54O/eRCWfYfYr3sac696BL5qkWsjh8gaolQv4osmTxNmng5OEO3Qv9nnrFNdLlk0yNU47A8BegMn5pgmNxnOGUsru9AmHw5RKJfJ5qxXY6Sfh8XiIRqO43W7bAVdukDLzRQJfNBo9qe3PNE0unxZn72COg0N5PC6D4bGBiy5lZWLCXjdLpkRRyrJHBxjIlfC6rEnSewZy5Cs1dvZlWNgesfftd3sHGC1WuLQrzuGRAgvaEixua0MpxX27+xjKV+iJ+HjxrCTLli3j3nvvtTNNIi4ulUq2x4yzdduJ5nT4keE8B4fymCZEfW72D+dJhLx0t4SYO3cuACOFKj2jRWYkGk2jZreECXgM2sI+ez+UUsyYMcNavYw5q/o9LgKese4X4FWXdFAay9jUajWGhoaIRCK234zb7SYWi9kt25L2V0qRSCTO6sr/DwVOl2Bnql4IhgTg5g6xU2loToVm7U3zCvf5hpPUwHjWqFm4KXoxcRKXUShSRigWizZZFsLn1Ak5O52aP9czhfNaa9YkrfrA5zl4z3c58uDP8MdaGdn/FACeYITEvBXEZiyg+7q3Y5omL7/tQZSCvi0P4ou24AlF2XPnVykOHWffz7/BjKvfYH3/tSoPfOxNFIaOs+gtH+b4prvpfs27WfzOd2IYBhs++y7yA70M7nqUZe/6jN1u/mzQHEcO/u4H9D70K8xajVD7NPb9/BtEurrpfOF1zJ07F7NWYXjvFvqf3EDr4hdiD7xSijnXvQPlctG2dI39ObvdbjuOeIIRyrlRfLFWfNGkRUb9QV76hbupFnMEWqZMKM6Gk8m207XdqQkTgivvLQsCycw4DfWkXOU0+3S+1+mgCY3GGUGCWKVSaZjMLeUZZwA0DIN4PG7rSACbEAiuvvpqDoyU2Xp8gDktIbs7yu9xsbgjyoKxFuPBXJkNBwcp1UwODRcwFBxLF6iZcE13Cp/Hxf37B6nUTQ4OF1g+JUrdNOluGdebVOswkCuDgq29aXKVGplilVeOiXIjPg9D+QpRv5WJSqVSjI6O2jcT0ZbIajwQCDSIfJ3p5dWrV4PLzfp9g3hcBpd1xYn43ChgpGiJ4DYfGSHsddMR8ZEr1zg0nMfE2sf2sIfWkI9yzWRRRwS3YWVbHj86QkfET1sqZQftq+emyBQrxANWF0F/fz/RaBSPx2OTmWq1yvbt2+3atFLKni8lwUP0DYlEwu5g0TgZzlIRcBKZlbKK8wY90U26WW/jhPOck9c813B2aQkRkWvcuX+1Ws2yUQiHKRaLdgZQPiMhMs5jkdW4c0SEfAbNztlPh9WrV+P1etn1gy+w/xf/xdzXvpt5r3svAP5kBwvf+Jd0v/oWMFwM7tjEY1/6Kyr5DL0bfkHvxl/Qu/GXKLebKz/2XxhuH498/v1Qr9Hz4E9Z/NYP4w6EmfvqW+x9LI8OkD6yG6UMtt/xWUqjA5TSQ1z5d/9tLfo6ZpLvP0p4yqwzymicrky1evVq6vk0D37mA4Tap7Hgj/6cYKoTlz9I+sB2AB779/9LuGMGsVmLGD28mxNP3IdZqzKwYxPtq64hMnU2Zq3CrJfdhOHxUhod4Kn//iemrLqG1NwV9vf04v/3A/L9R4l0zW2MI/4QgVD0lOJs+VyaM4lO7ZScM0JcRIcp/5eMjOgZ5f4h3U7OcQhP17INmtBonCGUsmb6iOOunJRSnnAGp3Q6TTabxe/3c+LECXvV5hQKdnd3c/f+Ueom7B3IsWraeGYgU6zwq119ALxyYQctIR/H0kU8Y1mYoYJFDLadyDAvFSbic9mPHU0XMZQi7rD997gUl09PMFwoE/W52XosQ3driGypyt27++w5SNPjfvuClmM6VQbG4/GgDKuEdemllzIwMMChQ4eYMWMGg/kqg3mrzJYtV2kP++jLNrZem6ZJf66M14AZiSAHh62M14lshXjQy6ppCXv/d5xIs6svy66+LG9c3snegSwnMmVWdsVIBL12wLnjjjtwu922qHJwcJBt27aRy+WIRCJ2N5cECiGpLpeLWCxGNBrV2ZkzgHxGzVmb5mA7kai3Gc0dTRcKhHw0t13LSlvaauv1ut0FKWaWzhuTrMYlqwmWQNh5rPJa8r7NYxFOha6uLlwuFwd+fQf1apk9d32N+a//U/smO3poJ/d//E24vAFe+vlfE5k2l5G9W3EFI/hjLYwetIjBgV/fQfuKtYQ7ZpLt3QdmnWOP/Q6Xy0O4c4793flbprD4bR8h39+LNxxn389uZ8ZL/phMzx4e/MRbcQXDxGYtomPl1Q1xZCI444iBOWEcGdh6P6OHdjB6YBvdr7mF1sWrGdz+sONLMqhXqwzu3IQ7FKN9xVqOb/oNmDVObL6H1rd+mDmvePt4HPnu5zly/084cu+PecXXHmLPT28nfXA7i9/+UaLT5jXEEeBpxdkCIS3NQyhFAyMaROciSrrJnC3ZIm0wDMM2+GzubNIlJ42zBsMwiEajdju009HUGaBCoZA9IVX8V8Rht1qt2idod2uYbScytIWtwZS/29PPaLHKis4oVgwxSZcqxANuZiWT5MpVRgoV8mUrQxPyuFi/t9+aPj323v05i0js7s+wsjNOpWbidStmJYPMVpawdm4qwr7BLI8dHaFcteYhFat1njye4eo5p5/btHr1ajweD7/bN8RQvsxVc1pJBj20t7eTSqWsVakJU6N+DEPxxNFRBsfKZgqY3RKkuzXM/sEc+wZz1E1wG4qlHRG2HrcEx70jRUxzhCVjGZr2iJ9d/Vnawz5MYHPPKAARv5ulU6IMDAzwgx/8gGKxiMvl4r777rOyNGPTseWmKa3pUquWAJRKpYjH4xfUDXWyYCINzJmUTiYDcXTqhJr1C/I3mcYtfk8yesQwDHvCtphzSreLZGJkPpRkciZaQJwOPT09TJ06la4113Ponu/SsXIttXKJ+z9+I6WRfua/4f0oFLVSnkzvAVoWrGLu9e9iZP828n1HyPUdwazX8UTiPPjJt1DJZ8BwoZTB4FMPgTLouf9/mfPqW6jmM3hCUWa+9Eb7c+h+9c0cuPsOtt/5OaqlPJV8muJAL3t/ejsr/+yzTxtH3C6D+z58Pfm+HlZ/7FuEp8xqiCPVFVeTeuQ3+OKtPPrFD5E9avm+KMPF7OvezrQXXc/uH3+FY5vvwazX8AQjdL/23ez9yVcBk8P3/YTicD/zb3gfhsdL2/I19DxwF23L11DODLPju5+zyszdy5i17q0MDAxw55132sTlTMtlQlLkvJBsimRdnC7ATpISDAYbsjdyjkUikQZjRskGOjOXp4ImNBrPCIZhEIlEKJVKtgeFMGy5gIXMOG31Q6EQwWCQoaEhKpUKhw4dYskll7CoI2pNeq2ZVlkIqNbhhTOTKKBnpMCegRxuZc0rUgpWdsZ4tGeUx3pHpVJMZ8zH4o4Yh4bzHB0tMisZYtORYfYN5pkeD3DlrBb7RpMvV9l02HIinhL14TIUw/kKC9osf5nTtSx3dXVhuFwMjWVg9vRnOZou0h728ZK5Kev4DYPp8QAbDg03PFcpSy9zcCjH3oHxDoS6aRLxufEYVgo4U66R7c8S9LiYnwqRCnlZ1RWnNeTDUBY5O5EpMS0+rn9Jp9N29kVWvJL2d9aoQ6GQvY0EnZaWFk1mziImA1k5EziFvM5Mk6zIZWEiHlVOYXAul2sQFEt8cDoOg3UzFMflSqXyjAjNhg0buPTSS1n6zr9jyds+guH2kjtxmEzPHpRh4PIFWHbrp/BGEuz7+Tc4tuluvPe2UMmOogzFsls/xRO3fYQt//G3KI8Ps1Zj2trXM+tlN3HwN99haPfjTLnsWjZ/4QMc3/xbZr7sJpa8/W/tOJI5upftd3wWlKJ9xVqr6eHIbmZee+MZxREqJXLHD6EMF3t/ejvHH/0tUy9/Oav+/PMA+GNJOi57KVv/8+8avxfDRfrQTvbls/Ruutu2mauVS0S75uLyB1CGi8zhXeSO7ifSOYeuNdfTtmwNS2/+e1ovuQJPOE7HpVeTPrybtuVrGuLImUAIrZAXIb5O8a4zIyPExambEYLSTGaEADVnc57OgwY0odF4FpDVvuhoisWivToTSLpR3HjFpE7atx9++GHmzJkzdjIbeF1w2fQEI4Uys5JB3MZYh4VpsmcgRyrso2aaZEs1WkNe2ypSrP6PjpZIhYqs6IyzYqx0vW9shtGRkYK93wPZEiirxJQrV1k+NU4s4LH3W6Zmr1u3zq5tb926lVWrVjF37lyrxGaarO1uZTBXJleuWvoYES+7XJSrNTY6yMyUsOU3U6qZDOXLdjnKAFbPTBDyeni0Z5hKfXxl71LQHrFWM0/1jrKjL4NLKd6wrJMXzBifFlytVjlx4gQtLS125sU0TdsAUFqyfT4fra2txGIxe9CbtGhrMqNxKgjhEH1QszZCRJ5ShhYC7Rze6jQCFP+n5s5AZ9u3U5Ts7LRqRjqd5hvf+AbveMc7cLutazjYNo1Fb/m/FAaPM/Xyl2F4rJtlvr+HY4/8mtTiF5I7fohyZphIZzdIybBSQrncHLn3x7QsvIzlt37KPs7jmy3juiP3/YSl7/goAAM7N2O4PQRSXVRyoyx+64cJpsY1M2cSR1xuN5d/8Etkju5jaM8WlDIYObDN/twLQ31WS/kYpr7wOvoev5dqMUf/UxvtfTd8QVa8+zOEp8xg87/+JbVi3n6O4QuQnLscwzDY+p1/5si9P8YXa+FlX1zP5f/nSw2f/0Si36eDs6zYTH4Be2ipkB2nMFzOKSHHovMTIiOkV7Y7E2hCo/GsIW2bzToaQTqdtmcniQlXpVKxf//Wt77FpZdeSldXF62trcyM+3G1hMZKU1ZHVFcswBuXd2I0rXqvnJng0Z5RvAZkxnxbnuhNM6cljNdtUHOQg4Db4H+fOkZryMORMeOXVyxoIxaw9lsCqTj7LliwwL74Ojo6uPzyyzkwlGPz8QIRX4WF7RHawz46In5K1RpRv4f2pk4kYyyjFPW5qQOlmrU/LSGvnYmqYwmSE0Evizqi3L9/EBOI+92sW9Bu3wTCPjemCUFf4wpFSng9PT2WF4djTIUQGLfbTSaToaOjg5aWloYWbQk2Ghqng1OMKTciIS4iBhYXYSEzgmw2S7VabRgd4fF4bGIkrycme05RcLO78ETo7e3lS1/6ku1Jk0qlmPHSG20hc7VapVwuM/3qP2L62hswXI23vGW3fJKdP/w3vNFWMkd2g1nnia98hGlXvhplGFSyI/a2gWQHd//ZVSQvuZzejb8CTK79t98SSLYDZxhH7r6Dp+7+CpGuuXRffytty6+ifcVaiqOD9MxbQfvyqxyvBYbLQ71eJjp9PuXMMNVyEQyD1KLVDGzbiFmvUS8VSHQvIdg6lbmvfRdbvvoxzHqNlkuu4MqPftN+vXDHTKjXCaa6Gj6D04l+T4VmQiKkxClBkKyMkF7J6MiPlL+bvWZgXMM1EUk6HTSh0ThrcK70I5EIIyMjDVb6Pp+PUChEJBJhdHSUgYEB7r//fgqFAoFA4CQRGmC3LuIaH8pnmiadsQBHR4scHC6QDLgZLlSJ+tx4XNaJP1os2/sS8rnoz1U4PDIeLPuyZYJeN48fHSXqdzM/FcY0rfkkCxYs4OEjI2RKVdbMbsWnTB4+PALAsUyJcq1uZ0mKlRqZUpVa3WT7iQweQ9GdCnPdwg4GciU2HhomUwKvS1Grm6zqimNi8liP9b6xsQ6lqVE/b1rR1dA1IOn7GXE/HZEOfO5xX498Ps/u3bvZvn273VUmQcNZZsrn84TDYVpbWxtKBC6Xy3Y91tA4FaSk0GywB9b5KRPoDcOwuyBl/IeUnsWvSbI6oquRx0QcClYMKZVKdlZIHjtd95PT22oip2FwxBFojCMveg3HH/89Jx79HckFlzG85wnisxejxo5xeN+TYx+EgSccI9u7j+Ob7oG6JVwePbANw+1l+3f+meT8lUxfe4MdR+bP7Wbz599PJZfm8g9+mapZHxvBYNK39QHA5JI3fwiA4nAf+b4j9G76DZn/2YM3HGXmy27iqn/4McN7HmfL1/4OlIHbH8Ss11j6Jx+jONLP9u99geTsxQRapmCaJtPWvJbpL34dZr1uH4PEkVnr3sbUy1+GP9EGjMeRZ+KE7CQjQmKcA1vlc5Xv2Vlaks/d2dkk/ljOMQeS3W/W5ZwJNKHReF4grrSlUgmv1+rECQaDdno6lUrhcrnI5XJkMhlyuRzr169vaO0GGhxB5WLx+/2kTS8HxyZMjxarKAXpUpVKzcTjgt3943Nd/G4XAXeN4pgAGKwy1Y+29lolK6xOI7/bxcKFCynWTA4PF0BB72iB7tYw0+MBekYL1E1oj/h5tGeEvQM5/G5FoWlOw5HRAl6XQbZcI+gxcBsG6ZIVAB85PEy5ViNXrjMjGUSB3RrbTGZqtRrf//73ed3rXofP68VlKHs19Z3vfIdarUYwGCQejze4/crzS6USPp+PqVOn2iI7Kf2JYFhD4+kgJEa8Y5pJjmgggsGgPR5BygyAbXsgZWm5wfl8voZSU7Nfifz+TPxpTuU0fKo4MrLpl5x4bL313MO7AJOR/U9Sr1VRhtVBBYBZx59ow5dop5wZsl+3mB7i1+99EZh1jtz/E7qufDUuj5eFCxeSPbKLvi0PWKXu7Q8zZdVLSS25koHtD2PWarQsvIxHv/RXHNv0G9z+MJVso+bu2CO/wfD6KPQfJZDqwuX1kT12ELBatguDxymN9DP7ZTcB2CTSNM0GMtMQR5IdGI45WV/72teesfmfsw3f6f8jPjLOAavODiiZ1STmnl6v1ybFzjKTkJxmAn0mOC+ERimVBG4HXgYMAB8xTfM7p9j274G/BZx3uqWmae5/vvdT49lDKcuk7cSJE/bvonJPJpPkcjlaWlpsvYekopVS9qwXaHQEFc8Gj8dDzOXFAAxDEfa5GClULfdgl3WRTYn4OTBkEZ4jo8WGfXMbkCtVbXKTCnvxuBSPHR2lUqtzaWeMuakwmVKVafEAI4UySsHyqTFmJgJkyjWePJbGZOKxr+WaSVlS6obBFTMS7DieoSddZGhMawMwkq+gWhWDg4P09/czf/58O5iXSiV2797NiRMn7GDc1dXFiRMnePzxx+12WbkpSCus3GBkBop0NpVKJbv1XiY5a2icCZziXie5kPPN2YIr5DybzdrlBiEPksGpVKxrQMTr0qbd3Nkiv58NnDKOzFwIhgtPMIwv2kr26F4iXd0owyp3pJa9iL4t94FSHHvk7vEBl4A32sLI3iftxzoufYnldXX7x1EuDwvf/FdMW/MaytlR2pZeycjB7XhCUZa+8+N0XHo1+b4j9I15xxiek925S6NjruHKwB9v5ZKb/pqd3/8Cgzs2MbznCetvLjfZo/tQSjE0NHRGceRMWrHPBM4yk5PcOEW88h3KuBUhvlIeF9IjZMY5nwsmdtg+Hc5XhubLQBloB5YDP1dKbTFNc9sptv+eaZpvOVc7p3F24Pf7icfjDA8P43a77W4GydgIo/f5fHb3k1wAMi4Bxj0bcLmp1CHotYLNG5Z1sqV3hF39VsdQR8SLoRTZYoWe0SJTwl6OZcdfx23Ays4EnTEf9++3gkXAY/CS7hS7+7PsGcvq+NwGnTE/HRHLZO7uXX1kyzUODRfY1Z8lX67RGvLgdSvSxUbPDK8BHTE/g9kKMxMBRkpVfrunn+iYuR5YguRZySCzWyzBdEtLC/FkC8OlGsmAi2PpEvuG8izuXsB75s/ntttu4ze/+Y2dohXtSzQatbuW/H6/3VnicrlsTxmZXjs21E0TGY1nBafPSPMUZaelvZxjziaB5ptcvV63GwmcxMV583L++0wyNKeDHUdKeWqFDMFgkNDc5Vx3+2a2/OffcfSBu0Ap2lZebXUsHd3P0O7HSSxYxfDOR7FUb+CJJFj8lg/TvnwND3zqbQCEO+dw2V9+kV3/8+8cvvfHKGXgCUeZdtXraZm/EtM0eegfb6WSHeHYw79ix/eTVHKjtMxfRSk9SO74QVCGTY4CbdOIdnaT6d3HtDXXM7D9ETZ++u1Epi8AZaAUJOatoPOF1zH9qtfZcSQW8pPeZ03N7t34C45u/CULb/wr5r/nPdx2223P2rkYGgXAUhJyaqqcGRXJutRqNQKBgB2PlFL2OeJ0CRavGqdNQLMHzZngnBMapVQIuAFYbJpmFnhAKXUX8Fbgw+d6fzSePyil7HlIYsgnwsFAIEA+n7dP7Pb2drLZLKFQyHa4lYC4evVq3B4PP9vRZ+tXpscDGAqbzAAcHC4wv63CgwcG7RKPE7U6zGoJMlqoMJC3VomFSp27th0nX7EyKn63wc6+LDv7srgVLJ0aIxX2kR3KW+WhuokJ9OfGMy1CEdTYlPCe4SImY8I4rGYEpayRBH63gds1ng6WQP7ggSH6cyWmx4MczxQpVq1jf9GMOGvWrOHhhx+2RXOiP6jVanb9ularNZjjhUIhvF4vsVhMkxiN5wxnmclZZpC/OcefAHYzgDwHsLOx4kUiehmJC3Kjcw6rlGtEPG+eC1avXo1Rr/K7D11HrVTk8g9+mdTSKzErJYvMWG/IgV9+i9nX3shD//AnFIdOnPQ69WqFaWteQ/+2h8j2WN4w2eOH+PV7rqScscpGvmQHe37yVfb8+DbcwTCL3/a3JLqX0ffEvSjDTb1cwqxWGNi2cewDNlCGgWkqDMNFcfA4hYFjKMAXawGzjmmCJxjmmn/5Bf5EOy7veCOCfC8PfeadZHv2Wa3nv/0etVIeXzTJkps/8ZxGMUDjYFSnG3Czu7VkbQzDGu4ZCATs50vGWEiRy+WyY5WIhuV8cVqBnCnORxF9HlA1TXO347EtwKLTPOfVSqkhpdQ2pdR7T/fiSql3KaU2K6U2n86pUePcQASriUSCSCSCaZr2GIFAIGCnHOVGLZmHcDhsn/jiCFqtmygU5er4CjEVcqRqx0zqIr5Gnh4d6w5yGRb5iPjc+MfEw1PCXgrVccGhEAmwyMnu/iwvmJHk9UumcsPSqSydavnmOPGS7lZePr+NKREfpmmt40ygVKuxoitm6XuKVbKlagOZqdVqDA4OWinWseKVicn8NmuG09wWy6Cwq6vLrj3L2AK/32+3Yft8PuLxuK1LkkFv2vn32UPHkZPhJDATZU6cXiN+v59gMNiw+g6FQg3Cz0AgQDgctueMOcckOPU3z0QUejp0dXVhKKhXymAYVPJpS/sRjBCZNm/8OFweDI+PQMuUsQM3wHARmjobALffmrkWmz4fdygGwNTLXkq1MK7bKw732dmWaj7Lwbu/wxUf+grrvraRdV/dwNzr34VyjdtFYNZZ+w8/5sWf+h6x2Ysx6zWoVzHrVaqFLIvf9jegYGjXY1RymQYy44wj1GqgoF6vMutlb8af7GD6i1/7jIZLngryXUh5yNmlJN5W8iMNIEJgnOeBc9ikZI6drf3w7MgMnJ+SUxhoLtyNApFTbP994KvACeAK4EdKqRHTNO+caGPTNL86tj2rVq06O7lKjecEcRiWUsno6GhDu6ff76dQKNj1cxG4KqUoFov09vbS0dHBuvltpEtVpkbHg98lHVHu2zdAMujhRbNbCXpcXDkrSV+2RMTnplits38wR7qUp25ar3lkJEcy5GPZlAh1FKl0gSePZRr0MAG3QaFaxz1mdudzW4F2ViKISyke7RmhXDPpivlJjbVsXzmrlX2DOR7rGSHis1x8syVr6KOVprFeu1ar8eSTT7J+/XpWr15NS0sLL57dykCuTFvYMvq7pD1qbzswMGAHBjElCwQC9spHzAvL5bKdndH+Ms8NOo5MDMm4NHc+CaRkINexzHuTLqZwOGxrbOQalvO4UCjYglJpDpDsw9lAT08PHR2rWPPp71McPE5q6YvsfZh7/bt47MsfIrXkSla+9x/xRZOs/ug3GdyxmfCUWZRG+9lz13+S691vESLg6MZf0DJ/JYve+mEquTSBti72/fTrFpEZm+ztT7ZRHDyO4bV0a95QHIDZ170dTyjKtjs+S62UZ/raG4h0dWOaJi/8yH9y4Nd3sON7nyc+exEzr30zowd3oNTY9XyaOLL6Y//F6IFttFxyOYbLzSU3fhB4bj4zQjZEuBsIBOzYIp1jUh4qlUq2kaqQWxGAOwdWCqGV0QfOWHWmJnoT4awTGqXU74GrTvHnB4H3A9Gmx6NAZqInmKa53fHrBqXUvwJvACYkNBoXJoSNi1g1nU6TyWSoVCqEw2Gi0SjlcpnR0VG79VgEhY8++ihLliwh6PEQ8QfslHShUGBKJMAfO3xqTNPEUIqOiJXJCPus9+7LlpkWtwLn5p5RqnWTTKlKrmy1ewuSATchn4eI18WOviyjxSrlmkmlViM0pt2ZngjyyJERXArawr7xVKyCeakwc1tDKKW4Z3cfA7kyC9oiTE8ESAatacSbN2+2U79bt25l5cqVuN1upkT99jFL6r1arbJ7t5XMlCGSoVCIRCJhZ2Cq1SrFYhG3201bW5stvtPQONtwlp5ORWqcXTAyKkXGcshcN6UUmUzGPqedrb3S/eJ8PSmtPhdys2HDBpYuXUpoymyiXXMb4kjnC6+j8wXrUMb4dHHD7SW1ZLUlZE1NZfbL32I5AV/zRsx6nSe/9f8AyB0/RO7EEWKzxosMifkrCaWm4fL6OLT+h4we2Ea1mKOSS+NPdmC43HS+YB1P/ddnMDw+Wi+5wn6uy+tn7mtuofvVN6OUYv1fv5rssQMs+KM/p33FVfbcpUcfffSkOOIJRUktWd0QR56Nz4zA6fQsYwycpScYN1GVxZazhCSdTU6/GsnSyGgEIUzy3Urp6dngrBMa0zTXnu7vYxoat1Jqrmmae8YeXgacShB80lswLlvQmGQQoWoqlaK1tZVSqUR/f78tGJaOHAl+sViMcrnMnXfeyYoVK5gyZQrJZNISpbitVZ+cDJJ+/dnPfsaVV15pbQck/G5eNTZZG2Bua4hDwwWCHhe5cpUxzzsUcElHlGnxIKVqDRNFS9DNr3Ydp1Cpc8W0hE1gYn43Boo5raEGRb4zEOfKNZSCSq1OMui1xc4SWKLRKDfddBO7BvLUTFjcEcGs19m3bx+JRILh4WEOHjxor35kiKSk80WT4CzrPduVjYbGmcJZcnJ2Ojn/BthlBqe+Qm6wtVrNztYUi8WGlnDnzVIcZsVuQMYryHbPtKXb2b7d2toK9RpGKQuBgFVa4tRxJLnwMl76+V/brzfj6j+i/8kH8YSskSlmfcw7x3Cz8A0foHXRFRRHB3EHwiQXruKev3gZlXyGy//yi4S7ugEIdUzHF21l6guvO2UcKQweRxkuauUi0WnzbPuFhjjy5hvZ+5Ov4HJ76X7NrdRNk127dhGLxZ5TR1Pzd+cUcQthkVhdr9dJJBK2PYdz1IGQIpESOLM3zuN9ro0L57zkZJpmTin1P8AnlVK3YHU5XQ+snmh7pdT1wH3ACHAZ8AHgb87Jzmo8r5CsTXt7O+l02m7XE2MuwzDIZDKMjo5SqVR44IEHeNGLXkRrayvr9w0ykCuzvDPGvNYQ2WyW7du32xfuli1bgPHOBmc74PLOOMs741TrdY6lS7QEPTx4cIhytU7U7+HoaIET6SIhn4eHD49QqZvWXKnRAg8fHsbvMSiNedpkSzVifjf3HxhkIDs+rNI0Ta6Zm+JEtsSMeADTNOnr62sY/nbllVeSrxtsO2ElJ1tDXjrC1niIu+66q6HenEwmSSQS+Hw+8vm8PfOkVqvR1tZGJBLRWRmNc4aJzPbkd6d/jBrzJ5EyshAYwzDI5XL26l1ucNIRKaRCXk+8buRxp6/SM4G0b69bt462tjbu++gNZI/uZ/l7PkPn6lc9oziy7JZPAFDJZ+h/aiPx2Ut55HN/CoC/dQrHHvsdA9s3E2qdwmNf/CC1UgFcLg7f92OOb7qHQOtUCoPHyB7dR3l0AF+shY2fuZlM735W/+03CE+djWmarPnkdxne9ySdY6SnOY6sXr2azL4t7PvZ7QC0LrqC6OwlZLNZfvjDHz6r79fv99skUsiIdFnK9+8UgosnlmSHJW7J72Il4Xw9Z1ZO4v5zXZCdr7btPwW+DvQBg8B7pWVbKbUG+KVpmuGxbd80tq0P6AH+yTTNb537XdZ4vuBk5c5sxLRp0zh69Kjd4VAqlWyBcHYs+5EpWsTnVIZasiq78cYbaUmluG//IHUTrprTisdQdMWs0tS18yz3zJ88dYxC5WRX0lTIS8zvoTddpFIzaY/48bkUEZ+LuglHx7xuetMFWkJWNibgVswZG+VQLFbsICQXdFdXF7GAl7DXTbVukghYwbK9vZ1wOEw8HrfrzPIZSQCXVm2llCYzGucFzaRGbvTOWUzymJAaKSeXy2V7UGWxWLS3DwaDtkuwbOfsbnK2CD8XSBzJ9x9FuVzkjh/CMAxGR0efNo4kwn4e/ux7cPuCXPGhf8cdCDP18pdhmiZrP/M/mPU6v7z1igaRsKBjxVq84TgYBrVKiZYFqwhPnY0vnqKcGWZg5yaUMhjY9hCRzjnU63WCHTOJdM6xS8tOMiPHEo8E8MVTGIaL8NTZz0oELIRRiIqzbVqyKU7yIURT/MWE7Elsci7InAMppXTlfL3noptx4rwQGtM0h4DXnuJv92MJh+X3G8/RbmmcJ4iQtTklGg6H7bbjdDpNKBRiZGSERCLBNd2tVvYjEbQFb5K+bLZJT6fT1Go1RgpVe47SQLbE1JjVOi7EQClFzVGjd4+1YfvdBi+e04qhFGGfm5agl9Fixcrq1EyumtPKFdMT9GdLzEuFqVarPPnkk5TL5QYTq2w2a+sHlFL09/fT3t7OKx3lsFqtRqlUYtmyZXYLLIw7AFcqFaLRKNFo1NYfaTKjcb7QTGqcN0LnaANoHDQpmRYRBMvzw+Ew+Xy+wWxTBuA624Wdr3u6sQingiUQ7mDNJ+5kZN+TdK5+1dMKZyWODO96nPTBHYBJ+vBuEt1L7fEPsk/16njmyOULUCsVCLZP59L3/X+Y9TqJOUtoWXgZ/U9uYOvXP0G1mGPle/+RJW//KOnDu+h60fWnjCPNcbKnp4eOVau49l/vsR97NiJgZ6u8iKWbPYKcpofSqFCr1WxneHncWXZy+tdI9qbZCfhMh08+HfToA40LAj6fD7/fTzabbTjRk8mkHbDy+Tz79+9n+vTpBD0uulvD1iC4apWHH37YvkgkZe1cyfX09LCyvZ1ZySC1ujW+QALGhg0buPHGG2lvb2fd/DaePJ5hWszPlFiAXLlG2Ds+JG9mwlL47xnIooD+rNWNMbslxOyxbEylUuH3v//9SYFH0q2SXt+xYwcLFy4EsOvQ4u7pJDNg3ThkTo64A0saV0PjfGIiHY0IO50lIWe7ttwUC4WCTfKFAMm5LUaR0tItxps+n88WoEqccI5QOJPsjS0QnjrHFtmeiXC2p6eHFUsvZ8oVL8ftDxKbdQnVapXHH3+8IY5c9Zkfsfeur9H54tfRMm8FxaEThNqnARZh6Hrx6zAMg+13fg6UYmD7IwDMutZav58ujpzqWCRD8lxEwLJ/4nElMUdilpSK5HdzzAVa3H/j8bhNbIQEOSdny2tIKdFZujobUGfLhfFCxKpVq8zNmzef793QOEPU63V6e3upVCp2rdY0TTKZDNls1p7caxgGM2bMIBqNcuLECbZs2cLAwAClUolqtWoHNedKsLkGLhf9bbfdRjqdJhqN8t73vveUYwGEaOzcuZM5c+bg9gXYO5ijI2K1bYuFe7lcZu/evaxfv94OROLV4HTYlNVnMplk0aJFpFIpyuUy+Xx+wk4OEf8GApYeR0z0JlNrtlLqUdM0V53v/Xim0HHkzNBMagBbACyERR6Ta0UMN8UcslKpMDo6Sj6fB6zzXuwKxISvWCySz+dtQiMmnM3v83SYaJDl05GHsx1HXOUch3/3PaZcdi2xmZecNo6c7WNxwplFc2ZgJGY5f5yENRAIEI/H7TJSMBjE7/fbWR1pywYahlU2Z3yeCU4XRzSh0bigUCwWOX78uH3RSEo7m81SKBTI5/P23KJqtUo6nSabzVIqlew2Z+ekXtHemKZJJBLhiiuuOOVFH4vFWLt2LXPnzm2Y9uqs53/lK18BaAhqkp4Ve/darUa5XOYb3/iGPZxTXsvj8VAul21DqUQiYZvgxePxky5uCdRiVlYsFkkkEiSTyUlFZkATmosFzd4xzutRsq3iT1MqlexrWspMxWKRbDZrz32Sm2OhULBfQ3xsJKMjREDIj5Cb5+P+9nTkIRqNcvXVV5+1OCJk6fmC6FecMVc8w2Tf5F/ZRo5LmhNE0CsjD5qzOM5RCc3k6ZlCExqNSQPTNBkcHLQDm7NWXigU7AF3uVyOSqVia05yuRy5XM7OfkiArFQq9opNAp2zVnyq83/dunUsWb6Shw6P4PMYvHBGknqtxqOPPsrdd99NLBbjBS94AZ2dnZbZVDTOb/cO4nEZvHx+GwYmO3bsYOPGjQ21ZLF9j8fjdtrV4/EQi8XsbcAiMpJhklWO/L+jo2PSkRnQhOZigpAa0bTJzVoIjWRSZAq3EBhZmGSzWcrlMvV63c7WSAZHJnpL2alYLNpEQd5D2rvPN9atW8fiOdN5/Et/Rbirm2U3/z21sTjiHJYpccRfTrPxU28l2NbFmk98lzqqwW/muWIikickxingFWNEITNObyC32004HG4wzxPTPcnqyO+yfbOB3rMlM2PPPWUc0RoajQsKIgzMZrPE43E7yFWrVXt6b7VabXDClWzN0NBQQ7paUp9O4y8JhrI6FOLghGmadHV10Z+v0J8rYQKL2qvEAx6mTZtmZ0rWr18PwFvf+lZGS3UqtTrlWp18uUYs4KGjo4NoNGoHjGAwaIvn3G43+XzeFvhKZkkcUoUESaeAz2eVtbQDsMZkgLPrSf51ZiAA23W2WCzarsKGYc13ErFwpVKx/+YUxksrsMSFcrncQPpN02wYcHu+0NXVRd9jv2N431aG9z7Bghv+DH+ize5AcnZn3nLLLYzu20KtVCB9aBflzHDDtmcDsuATODUuYnTnjD0Sf6RM6Pf77aG48jkLgZFt5X2cJEnIjFMf+XxAExqNCw4i+hMfBLHXdg65k8yMiAHr9bo908jr9dqpbIB4PE65XGZoaMjuoBgZGbFJBIyv/iRrc/z4cS5Z3EZb2Iff7SLqt9T8/f39drCVC3ZwcJAFbW0sbI/gdRv2tul0mkQiYe+j04vB5XKRTCaZOnXqSUHGCbnwy+WynQbW0JgsEK2Ecwq3lF6E9Mj1LYsO5+KjXq/b5Qq5VqX8JKMSZPUv41OEKDndZ6V0e67R09PD4kuvIfnwr4l0deOLp07ZgdTT08OKF1xH7vhhwlNm4U+0PeuRBRNBCIhTPC3xyDlPSeKay+WyM2IAoVCIeDxuEx9xeJYSlFMv43QElseE/DyfXZma0GhccJAsjQgGnfNCBM5A6CQ6QlhCoRCxmDU4LpfL2WWeSqVikwNZ4UkNXtKqlUqFLVu2sGjRIl48K2nXs+Vx58Vcq9XYvn078+fPZ1F7pKGNtVAo0NHRYYsZXS4XkUjEFtzJ6qj52Johz9Ut2hqTFU5S4zTGAxos9Z0tvHLTzefztsAUOMnTRAT2Ho/HJjmi5ygWi3ZGR67jcwnpQHrB33zjaTuQZNv5f/wXZ6VbCcbb6oVcyGflFO3KdoCdoRHiI9maQCBAJBKxSYt8/pI9dupwnGUrZ1x7vskMaA2NxgUMEQOXy+UGfcnpUK1WGR4exuVy2SJb6SwolUoUi0UGBwc5evSoPfW7uTND/u/xeFiyZAmpVIq+vj6eeuopRkZGGtKsovKPRqN0dXWRSCQoFAr09fXZ+h0RJDunzkoqPhI51UxWbCdUr9dLOBye9KUmraHRAOwFBIx7n4igX7Iy9XqdkZERyuUy2WyWfD7fMMtJSkriIi7ZH9HPyHbyulJePh94Jh1Iz7VbSTJiTn1gc8u1QFyaobFEFAgEGrqaDMMgHA7bGWIp5QsRdWZl5HenOd/ZJjJaQ6MxKWEYBpFIxBb9Oh0lnReIlKCks6Gjo8MWBAsREtvuWCxGS0sLLS0t9Pb22qlrESMKkZHV3GOPPWa/tvxdLlLxXzAMg3K5TE9PD/l8vkHz4vF4SKVStvW7tGaXSiVisViDvmeiY5FAojMzGn8oEDM2Z7bEeV2JcD8ej5PNZm1RabFYtMXAgH3zlQ6n5myAlJmcBOd84FQu5s9122ZIXBQtkcQyycbAuGeQZFHk/8Fg0PaPcWZgfD6frf0T919nqUk+Z/mOYPy7dP57rqAJjcYFDTHW8vl8tmOoc4UH49N4RXUvK5RTESG3200qlcI0TXvqt/i/yN+dHUbZbJZMJmML50KhkO23ICsfZ71eav2JRIJYLNZg6S2rIjEUO5Nj0dD4Q4NcM3L+y81Pyhwi9g2FQg1iUrnZihZHSseFQqFBOCz/Ojt0xMvGmZGVbOvpOh4vRAgphPHxEhI7JN453XnlOZLBcZaMhLAIAZISkpAUITXOLjVnO7poaJz7cDbN8p7R53LO31FD41lALsJm3QxMrD85EyIkk1+nTJlCqVQik8mQTqft4ChdGclkkmQyiVLW3KRQKNRwQYPlnyNiOZfL1RAkmlGtVkkkErZ54NMdi4bGHyLkhurM1kgpw0lqhOQIcZHysfxdyrliSCeER8pNIih2vp9TYCzvKzfsMzXmOxeQMpFT1CyfidONV7aF8TKe0+9F2qmbu5KkW0k+J9lOsjUej+ek5zr9ZSQDLuMPzlQa8HxBExqNSYkzvWhOR4SUUmQyGSqVCpFIhNbWVrt+30wylFLkcjnbG8fZISVBVIaynS6zIts6u5U0idG4WOE0cwMaSIiUS0TnJlkFITe5XI5qtWrfnOU54kFVKpUaRKrSOSmkSbQ3MqJBSsSSoZWuRxgnEeea7DhLRTDedi3H4CQ10jLtdOGV7kqnlkUyLxKrJBMtej4puQeDQTtb4yzHS3yT95fP7VQLuHOJP2hRsFKqHzj0HF+mFRg4C7szWfEHf/wul8urlFKmaU5YaK/X60nDMIbGtvVgXTd1ZcEwTdOs1WpPa3rxTLa9wHC2zoEZpmmmzsLrnFPoOHJWcMbHr5Q6ieEr606p5F/ZzrDu9EquRaWUa+ymqpqewyn+rwC5CdqvDZjO95pgX3Bu2/R/599slEqlgM/nKzq2cd587eebp74pn/T42KYnvZ7EsgleyzRNsz72I+9Vr1srOPnddP59LDbaf2vaHzXB46fC8x5H/qAJzdmAUmrzZOzMOFu42I8f9GdwsR//2cDF/hle7McP+jM4F8evc90aGhoaGhoakx6a0GhoaGhoaGhMemhC8/T46vnegfOMi/34QX8GF/vxnw1c7J/hxX78oD+D5/34tYZGQ0NDQ0NDY9JDZ2g0NDQ0NDQ0Jj00odHQ0NDQ0NCY9NCERkNDQ0NDQ2PSQxOaM4RS6n1Kqc1KqZJS6pvne3+ebyilkkqpHyulckqpQ0qpN5/vfTqXuNi+72YopXxKqdvHvvuMUuoJpdQrzvd+TWZcjOeUjiMX33fuxLmOI3r0wZmjF/g08HIgcJ735Vzgy0AZaAeWAz9XSm0xTXPbed2rc4eL7ftuhhs4AlwFHAauA76vlFpimubB87ljkxgX4zml48jF9507cU7jiO5yeoZQSn0a6DJN8x3ne1+eLyilQsAwsNg0zd1jj30bOGqa5ofP686dY1wM3/eZQim1FfiEaZo/Ot/7MplxsZxTOo6M42L5zs8Ez2cc0SUnjYkwD6hKEBrDFmDRedofjfMMpVQ71nlxsaysNZ47dBzRaMDzHUc0odGYCGEg3fTYKBA5D/uicZ6hlPIAdwDfMk1z5/neH41JAx1HNGyciziiCQ2glPq9Uso8xc8D53v/zgOyQLTpsSiQOQ/7onEeMTb5+NtYOoj3nefduWChY8iE0HFEAzh3cUSLggHTNNee7324wLAbcCul5pqmuWfssWXocsNFBaWUAm7HEnReZ5pm5Tzv0gULHUMmhI4jGuc0jugMzRlCKeVWSvkBF+BSSvmVUn+QhNA0zRzwP8AnlVIhpdSVwPVYDPuiwMX0fZ8GXwEWAq82TbNwvndmsuNiO6d0HLn4vvNT4JzFEU1ozhwfBQrAh4G3jP3/o+d1j55f/ClWm2EfcCfw3ouo1RIuvu+7AUqpGcC7sVptjyulsmM/N53fPZvUuBjPKR1HLr7v3Ma5jiO6bVtDQ0NDQ0Nj0kNnaDQ0NDQ0NDQmPTSh0dDQ0NDQ0Jj00IRGQ0NDQ0NDY9JDExoNDQ0NDQ2NSQ9NaDQ0NDQ0NDQmPTSh0dDQ0NDQ0Jj00IRGQ0NDQ0NDY9JDExoNDQ0NDQ2NSQ9NaDQuGCil3qCUKo25S8pj/6qU2jc2dl5DQ0PjtNBx5OKFdgrWuGAwNsRsE/C4aZq3KqX+Cvhr4ErHcDsNDQ2NU0LHkYsXF9uQLI0LGKZpmkqpvwF+rpTaB/wNcI0EIaXUj4G1wG9N03zD+dtTDQ2NCxU6jly80BkajQsOSqkNwOVY01l/6Xh8LRAB3q4DkYaGxumg48jFB62h0bigoJR6CbAMUMAJ599M0/w9kDkPu6WhoTGJoOPIxQlNaDQuGCillgE/Bt4P/AT4h/O6QxoaGpMOOo5cvNAaGo0LAmMdCb8E/sU0za8rpR4Btiql1o6tqDQ0NDROCx1HLm7oDI3GeYdSKgn8CvipaZqfBDBN8yngB+jVlYaGxhlAxxENnaHROO8wTXMIWDjB4288D7ujoaExCaHjiIbuctKYNFBK3YMl9AsBQ8Afmaa58fzulYaGxmSCjiN/uNCERkNDQ0NDQ2PSQ2toNDQ0NDQ0NCY9NKHR0NDQ0NDQmPTQhEZDQ0NDQ0Nj0kMTGg0NDQ0NDY1JD01oNDQ0NDQ0NCY9NKHR0NDQ0NDQmPTQhEZDQ0NDQ0Nj0kMTGg0NDQ0NDY1Jj/8feHyRjbmIA88AAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "yAUMO1reDRoS" - }, - "source": [ - "### 병합 군집" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "y5WPpEUdDRoS" - }, - "source": [ - "from sklearn.cluster import AgglomerativeClustering" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "koPgYqYyDRoS" - }, - "source": [ - "X = np.array([0, 2, 5, 8.5]).reshape(-1, 1)\n", - "agg = AgglomerativeClustering(linkage=\"complete\").fit(X)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "8mOkyPSHDRoS" - }, - "source": [ - "def learned_parameters(estimator):\n", - " return [attrib for attrib in dir(estimator)\n", - " if attrib.endswith(\"_\") and not attrib.startswith(\"_\")]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "Y3aHxyh6DRoS", - "outputId": "7171eeb6-b22c-48cd-b505-a21620e6604f" - }, - "source": [ - "learned_parameters(agg)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "['children_',\n", - " 'labels_',\n", - " 'n_clusters_',\n", - " 'n_connected_components_',\n", - " 'n_features_in_',\n", - " 'n_leaves_']" - ] - }, - "execution_count": 138, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": true, - "id": "4WTD27tfDRoS", - "outputId": "2f005937-7fbd-4eca-86a4-6b9b095bafc0" - }, - "source": [ - "agg.children_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[0, 1],\n", - " [2, 3],\n", - " [4, 5]])" - ] - }, - "execution_count": 139, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "pfAhiUbzDRoT" - }, - "source": [ - "# 가우시안 혼합" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "HVPsfjmwDRoT" - }, - "source": [ - "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n", - "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n", - "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n", - "X2 = X2 + [6, -8]\n", - "X = np.r_[X1, X2]\n", - "y = np.r_[y1, y2]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "5L4sexjiDRoT" - }, - "source": [ - "이 데이터셋으로 가우시안 혼합 모델을 훈련해 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "RqbXr5tZDRoT" - }, - "source": [ - "from sklearn.mixture import GaussianMixture" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "x5lTq2z-DRoT", - "outputId": "5484f031-55a2-4077-c8db-d5be85da23d0" - }, - "source": [ - "gm = GaussianMixture(n_components=3, n_init=10, random_state=42)\n", - "gm.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "GaussianMixture(n_components=3, n_init=10, random_state=42)" - ] - }, - "execution_count": 142, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "t_gkV3dpDRoT" - }, - "source": [ - "EM 알고리즘이 추정한 파라미터를 확인해 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "jD0jMM1FDRoT", - "outputId": "798acf7e-cddb-4bcc-e4a9-1801c017e22a" - }, - "source": [ - "gm.weights_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.39025715, 0.40007391, 0.20966893])" - ] - }, - "execution_count": 143, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "McsdGifNDRoT", - "outputId": "66070d50-759e-4c58-f411-7a4802d23e37" - }, - "source": [ - "gm.means_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[ 0.05131611, 0.07521837],\n", - " [-1.40763156, 1.42708225],\n", - " [ 3.39893794, 1.05928897]])" - ] - }, - "execution_count": 144, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "LosLKLY0DRoT", - "outputId": "91afef04-5fea-4b62-a58c-546851214f95" - }, - "source": [ - "gm.covariances_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[[ 0.68799922, 0.79606357],\n", - " [ 0.79606357, 1.21236106]],\n", - "\n", - " [[ 0.63479409, 0.72970799],\n", - " [ 0.72970799, 1.1610351 ]],\n", - "\n", - " [[ 1.14833585, -0.03256179],\n", - " [-0.03256179, 0.95490931]]])" - ] - }, - "execution_count": 145, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "BqlRCC4EDRoT" - }, - "source": [ - "이 알고리즘이 실제로 수렴했나요?" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "V0qseWjJDRoT", - "outputId": "a808e18c-83b5-4440-a7ed-0ef446987053" - }, - "source": [ - "gm.converged_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 146, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "GoxhgkYSDRoU" - }, - "source": [ - "네 좋습니다. 몇 번 반복했나요?" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "iyxnU77JDRoU", - "outputId": "a1ae9da9-6323-4b03-d79c-1991ad23d3ab" - }, - "source": [ - "gm.n_iter_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "4" - ] - }, - "execution_count": 147, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "oLYLjLsEDRoU" - }, - "source": [ - "이제 이 모델을 사용해 각 샘플이 속한 클러스터(하드 군집)나 클러스터에 속할 확률을 예측할 수 있습니다. 이를 위해 `predict()` 메서드나 `predict_proba()` 메서드를 사용합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "INdST7VVDRoU", - "outputId": "5be93ae3-f184-4215-a643-864f73edb20f" - }, - "source": [ - "gm.predict(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0, 0, 1, ..., 2, 2, 2])" - ] - }, - "execution_count": 148, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "L9QoqVAYDRoU", - "outputId": "77007fef-bd31-4ddf-c990-798734d93939" - }, - "source": [ - "gm.predict_proba(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[9.76741808e-01, 6.78581203e-07, 2.32575136e-02],\n", - " [9.82832955e-01, 6.76173663e-04, 1.64908714e-02],\n", - " [7.46494398e-05, 9.99923327e-01, 2.02398402e-06],\n", - " ...,\n", - " [4.26050456e-07, 2.15512941e-26, 9.99999574e-01],\n", - " [5.04987704e-16, 1.48083217e-41, 1.00000000e+00],\n", - " [2.24602826e-15, 8.11457779e-41, 1.00000000e+00]])" - ] - }, - "execution_count": 149, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "jwBazDtDDRoU" - }, - "source": [ - "이 모델은 생성 모델입니다. 따라서 새로운 샘플(과 레이블)을 생성할 수 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "KqD-ZkfuDRoU", - "outputId": "4352f5fc-4103-44e0-c03e-3fd75a872f41" - }, - "source": [ - "X_new, y_new = gm.sample(6)\n", - "X_new" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[-0.86944074, -0.32767626],\n", - " [ 0.29836051, 0.28297011],\n", - " [-2.8014927 , -0.09047309],\n", - " [ 3.98203732, 1.49951491],\n", - " [ 3.81677148, 0.53095244],\n", - " [ 2.84104923, -0.73858639]])" - ] - }, - "execution_count": 150, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "9Vg9rPX3DRoU", - "outputId": "513631af-3ed7-4c5f-f815-b0ed9dc1234a" - }, - "source": [ - "y_new" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0, 0, 1, 2, 2, 2])" - ] - }, - "execution_count": 151, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "urh2f4GdDRoU" - }, - "source": [ - "각 클러스터에서 순서대로 샘플링되었습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "08HwDknMDRoU" - }, - "source": [ - "`score_samples()` 메서드를 사용해 로그 _확률 밀도 함수_ (PDF)를 추정할 수도 있습니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "whWWZFWcDRoU", - "outputId": "49e83951-c429-454d-ca75-c2d2c4beb417" - }, - "source": [ - "gm.score_samples(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-2.60768954, -3.57110232, -3.32987086, ..., -3.51347241,\n", - " -4.39798588, -3.80746532])" - ] - }, - "execution_count": 152, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "IHMTTMZfDRoV" - }, - "source": [ - "전체 공간에 대해 이 PDF를 적분하면 1이 되는지 확인해 보죠. 클러스터 주위로 큰 사각형을 정하고 작은 사각형의 그리드로 자릅니다. 그다음 작은 사각형에서 샘플이 생성될 확률의 근삿값을 계산해 보죠(작은 사각형의 면적과 PDF를 곱하고 이 확률을 모두 더합니다). 결괏값은 1에 매우 가깝습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "N8VnLq2jDRoV", - "outputId": "71dcb63f-ed09-47fd-93ed-d8f551c175ac" - }, - "source": [ - "resolution = 100\n", - "grid = np.arange(-10, 10, 1 / resolution)\n", - "xx, yy = np.meshgrid(grid, grid)\n", - "X_full = np.vstack([xx.ravel(), yy.ravel()]).T\n", - "\n", - "pdf = np.exp(gm.score_samples(X_full))\n", - "pdf_probas = pdf * (1 / resolution) ** 2\n", - "pdf_probas.sum()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.999999999921502" - ] - }, - "execution_count": 153, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "BMW50LSzDRoV" - }, - "source": [ - "만들어진 결정 경계(파선)와 밀도 등고선을 그려보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "GXZ7Tu4DDRoV" - }, - "source": [ - "from matplotlib.colors import LogNorm\n", - "\n", - "def plot_gaussian_mixture(clusterer, X, resolution=1000, show_ylabels=True):\n", - " mins = X.min(axis=0) - 0.1\n", - " maxs = X.max(axis=0) + 0.1\n", - " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", - " np.linspace(mins[1], maxs[1], resolution))\n", - " Z = -clusterer.score_samples(np.c_[xx.ravel(), yy.ravel()])\n", - " Z = Z.reshape(xx.shape)\n", - "\n", - " plt.contourf(xx, yy, Z,\n", - " norm=LogNorm(vmin=1.0, vmax=30.0),\n", - " levels=np.logspace(0, 2, 12))\n", - " plt.contour(xx, yy, Z,\n", - " norm=LogNorm(vmin=1.0, vmax=30.0),\n", - " levels=np.logspace(0, 2, 12),\n", - " linewidths=1, colors='k')\n", - "\n", - " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", - " Z = Z.reshape(xx.shape)\n", - " plt.contour(xx, yy, Z,\n", - " linewidths=2, colors='r', linestyles='dashed')\n", - " \n", - " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", - " plot_centroids(clusterer.means_, clusterer.weights_)\n", - "\n", - " plt.xlabel(\"$x_1$\", fontsize=14)\n", - " if show_ylabels:\n", - " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", - " else:\n", - " plt.tick_params(labelleft=False)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "Ud6jwnGYDRoV", - "outputId": "a0aa75af-1a5c-4d6b-8952-a6562d734b0a" - }, - "source": [ - "plt.figure(figsize=(8, 4))\n", - "\n", - "plot_gaussian_mixture(gm, X)\n", - "\n", - "save_fig(\"gaussian_mixtures_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: gaussian_mixtures_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "4NdiIM6eDRoV" - }, - "source": [ - "`covariance_type` 매개변수를 사용해 이 알고리즘이 찾을 공분산 행렬을 제한할 수 있습니다.\n", - "* `\"full\"`(기본값): 제약이 없습니다. 모든 클러스터가 어떤 크기의 타원도 될 수 있습니다.\n", - "* `\"tied\"`: 모든 클러스터가 동일하지만 어떤 타원도 가능합니다(즉, 공분산 행렬을 공유합니다).\n", - "* `\"spherical\"`: 모든 클러스터가 원형이지만 지름은 다를 수 있습니다(즉, 분산이 다릅니다).\n", - "* `\"diag\"`: 클러스터는 어떤 크기의 타원도 될 수 있지만 타원은 축에 나란해야 합니다(즉, 공분산 행렬이 대각 행렬입니다)." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "1gEfqJ5rDRoV", - "outputId": "cf2ac91a-f773-4c16-a3a1-fed18ceb5697" - }, - "source": [ - "gm_full = GaussianMixture(n_components=3, n_init=10, covariance_type=\"full\", random_state=42)\n", - "gm_tied = GaussianMixture(n_components=3, n_init=10, covariance_type=\"tied\", random_state=42)\n", - "gm_spherical = GaussianMixture(n_components=3, n_init=10, covariance_type=\"spherical\", random_state=42)\n", - "gm_diag = GaussianMixture(n_components=3, n_init=10, covariance_type=\"diag\", random_state=42)\n", - "gm_full.fit(X)\n", - "gm_tied.fit(X)\n", - "gm_spherical.fit(X)\n", - "gm_diag.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "GaussianMixture(covariance_type='diag', n_components=3, n_init=10,\n", - " random_state=42)" - ] - }, - "execution_count": 156, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "AODaiMcaDRoV" - }, - "source": [ - "def compare_gaussian_mixtures(gm1, gm2, X):\n", - " plt.figure(figsize=(9, 4))\n", - "\n", - " plt.subplot(121)\n", - " plot_gaussian_mixture(gm1, X)\n", - " plt.title('covariance_type=\"{}\"'.format(gm1.covariance_type), fontsize=14)\n", - "\n", - " plt.subplot(122)\n", - " plot_gaussian_mixture(gm2, X, show_ylabels=False)\n", - " plt.title('covariance_type=\"{}\"'.format(gm2.covariance_type), fontsize=14)\n" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "0NPFzYI_DRoV", - "outputId": "c17e2569-6bcc-47a1-93ce-6c310b7284bc" - }, - "source": [ - "compare_gaussian_mixtures(gm_tied, gm_spherical, X)\n", - "\n", - "save_fig(\"covariance_type_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: covariance_type_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "4F3f4AWFDRoW" - }, - "source": [ - "사이킷런 예제:\n", - "![scikit-learn-docs](https://scikit-learn.org/stable/_images/sphx_glr_plot_gmm_covariances_0011.png)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Ftiu1WaWDRoW" - }, - "source": [ - "## 가우시안 혼합을 사용한 이상치 탐지" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "n5P-Rhi7DRoW" - }, - "source": [ - "가우시안 혼합을 _이상치 탐지_ 에 사용할 수 있습니다: 밀도가 낮은 지역에 있는 샘플을 이상치로 생각할 수 있습니다. 사용할 밀도 임곗값을 결정해야 합니다. 예를 들어 한 제조 회사에서 결함 제품을 감지하려고 합니다. 결함 제품의 비율은 잘 알려져 있습니다. 이 비율이 4%라고 하면 밀도 임곗값을 이 값으로 지정하여 임계 밀도보다 낮은 지역에 있는 샘플을 얻을 수 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "bFyyH9u0DRoW" - }, - "source": [ - "densities = gm.score_samples(X)\n", - "density_threshold = np.percentile(densities, 4)\n", - "anomalies = X[densities < density_threshold]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "cE_cttoRDRoW", - "outputId": "2a61b60a-ccec-4ac7-c067-3c707d6388d3" - }, - "source": [ - "plt.figure(figsize=(8, 4))\n", - "\n", - "plot_gaussian_mixture(gm, X)\n", - "plt.scatter(anomalies[:, 0], anomalies[:, 1], color='r', marker='*')\n", - "plt.ylim(top=5.1)\n", - "\n", - "save_fig(\"mixture_anomaly_detection_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: mixture_anomaly_detection_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "oTc4Ft-mDRoW" - }, - "source": [ - "## 모델 선택" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "nprykaPODRoX" - }, - "source": [ - "이너셔나 실루엣 점수는 모두 원형 클러스터를 가정하기 때문에 가우시안 혼합 모델에 사용할 수 없습니다. 대신 BIC(Bayesian Information Criterion)나 AIC(Akaike Information Criterion) 같은 이론적 정보 기준을 최소화하는 모델을 찾을 수 있습니다:\n", - "\n", - "${BIC} = {\\log(m)p - 2\\log({\\hat L})}$\n", - "\n", - "${AIC} = 2p - 2\\log(\\hat L)$\n", - "\n", - "* $m$은 샘플의 개수입니다.\n", - "* $p$는 모델이 학습할 파라미터 개수입니다.\n", - "* $\\hat L$은 모델의 가능도 함수의 최댓값입니다. 이는 모델과 최적의 파라미터가 주어졌을 때 관측 데이터 $\\mathbf{X}$의 조건부 확률입니다.\n", - "\n", - "BIC와 AIC 모두 모델이 많은 파라미터(예를 들면 많은 클러스터)를 학습하지 못하도록 제한합니다. 그리고 데이터에 잘 맞는 모델(즉, 관측 데이터에 가능도가 높은 모델)에 보상을 줍니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "sNe51FXTDRoX", - "outputId": "b4aca6ae-5e06-4331-e77e-a39e5bb59676" - }, - "source": [ - "gm.bic(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "8189.747000497186" - ] - }, - "execution_count": 162, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "4SwtJJbUDRoX", - "outputId": "657f0a6b-7f4b-4b20-d588-297bc5a82a8f" - }, - "source": [ - "gm.aic(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "8102.521720382148" - ] - }, - "execution_count": 163, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "H7fsoFT7DRoX" - }, - "source": [ - "다음과 같이 BIC를 수동으로 계산할 수 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "UcTkemHoDRoX" - }, - "source": [ - "n_clusters = 3\n", - "n_dims = 2\n", - "n_params_for_weights = n_clusters - 1\n", - "n_params_for_means = n_clusters * n_dims\n", - "n_params_for_covariance = n_clusters * n_dims * (n_dims + 1) // 2\n", - "n_params = n_params_for_weights + n_params_for_means + n_params_for_covariance\n", - "max_log_likelihood = gm.score(X) * len(X) # log(L^)\n", - "bic = np.log(len(X)) * n_params - 2 * max_log_likelihood\n", - "aic = 2 * n_params - 2 * max_log_likelihood" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "bfxOKCuhDRoX", - "outputId": "84bf4d75-b90c-4908-b465-80f3ff6a2ef3" - }, - "source": [ - "bic, aic" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "(8189.747000497186, 8102.521720382148)" - ] - }, - "execution_count": 165, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "vsuGJbevDRoX", - "outputId": "f46161f5-b0d4-43bd-c440-d94f728bb850" - }, - "source": [ - "n_params" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "17" - ] - }, - "execution_count": 166, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "WkDX9h-oDRoX" - }, - "source": [ - "클러스터마다 하나의 가중치가 있지만 모두 더하면 1이 되어야 합니다. 따라서 자유도는 1이 줄어듭니다. 비슷하게 $n \\times n$ 공분산 행렬의 자유도는 $n^2$가 아니라 $1 + 2 + \\dots + n = \\dfrac{n (n+1)}{2}$입니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "zoc7HWS9DRoX" - }, - "source": [ - "여러 가지 $k$ 값에 대해 가우시안 혼합 모델을 훈련하고 BIC를 측정해 보죠:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "4Wh2qVf1DRoX" - }, - "source": [ - "gms_per_k = [GaussianMixture(n_components=k, n_init=10, random_state=42).fit(X)\n", - " for k in range(1, 11)]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "_WSnfIWCDRoY" - }, - "source": [ - "bics = [model.bic(X) for model in gms_per_k]\n", - "aics = [model.aic(X) for model in gms_per_k]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "tQdJ_lcADRoY", - "outputId": "c91c6d83-fd3b-4845-eb6e-439d7bab57ea" - }, - "source": [ - "plt.figure(figsize=(8, 3))\n", - "plt.plot(range(1, 11), bics, \"bo-\", label=\"BIC\")\n", - "plt.plot(range(1, 11), aics, \"go--\", label=\"AIC\")\n", - "plt.xlabel(\"$k$\", fontsize=14)\n", - "plt.ylabel(\"Information Criterion\", fontsize=14)\n", - "plt.axis([1, 9.5, np.min(aics) - 50, np.max(aics) + 50])\n", - "plt.annotate('Minimum',\n", - " xy=(3, bics[2]),\n", - " xytext=(0.35, 0.6),\n", - " textcoords='figure fraction',\n", - " fontsize=14,\n", - " arrowprops=dict(facecolor='black', shrink=0.1)\n", - " )\n", - "plt.legend()\n", - "save_fig(\"aic_bic_vs_k_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: aic_bic_vs_k_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "NhJ9-lxwDRoY" - }, - "source": [ - "클러스터 개수와 `covariance_type` 하이퍼파라미터의 최적 조합을 찾아 보겠습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "So5EDgaIDRoY" - }, - "source": [ - "min_bic = np.infty\n", - "\n", - "for k in range(1, 11):\n", - " for covariance_type in (\"full\", \"tied\", \"spherical\", \"diag\"):\n", - " bic = GaussianMixture(n_components=k, n_init=10,\n", - " covariance_type=covariance_type,\n", - " random_state=42).fit(X).bic(X)\n", - " if bic < min_bic:\n", - " min_bic = bic\n", - " best_k = k\n", - " best_covariance_type = covariance_type" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "niKPRTqYDRoY", - "outputId": "75937d83-5e9a-429a-b48e-57004ed3d4b4" - }, - "source": [ - "best_k" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "3" - ] - }, - "execution_count": 171, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "X-Qw7xm5DRoY", - "outputId": "3824cd45-c9cc-4706-878f-39b8edc4c203" - }, - "source": [ - "best_covariance_type" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "'full'" - ] - }, - "execution_count": 172, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "PPkBme3ADRoY" - }, - "source": [ - "## 베이즈 가우시안 혼합 모델" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "wmHkCkijDRoY" - }, - "source": [ - "최적의 클러스터 개수를 수동으로 찾는 대신 `BayesianGaussianMixture` 클래스를 사용해 불필요한 클러스터의 가중치를 0으로 (또는 0에 가깝게) 만들 수 있습니다. 최적의 클러스터 개수보다 큰 컴포넌트의 개수를 지정하면 됩니다. 이 알고리즘은 자동으로 불필요한 클러스터를 제거합니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "jGzspmUTDRoY" - }, - "source": [ - "from sklearn.mixture import BayesianGaussianMixture" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "n8qrmkziDRoY", - "outputId": "1077a2fb-8762-426d-d30d-00e034e7d534" - }, - "source": [ - "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", - "bgm.fit(X)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)" - ] - }, - "execution_count": 174, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "zsanXevHDRoZ" - }, - "source": [ - "알고리즘이 자동으로 3개의 컴포넌트가 필요하다는 것을 감지했습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "nqAETp3dDRoZ", - "outputId": "5ed7b733-9682-4d73-8dd7-9eb6806eb615" - }, - "source": [ - "np.round(bgm.weights_, 2)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.4 , 0.21, 0.4 , 0. , 0. , 0. , 0. , 0. , 0. , 0. ])" - ] - }, - "execution_count": 175, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "hHUizzBaDRoZ", - "outputId": "7639219d-3105-4166-ea89-b99fbd869035" - }, - "source": [ - "plt.figure(figsize=(8, 5))\n", - "plot_gaussian_mixture(bgm, X)\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "1NGfkTxzDRoZ", - "outputId": "390c1be5-86f2-4cd9-ec6f-0cb60c7dc820" - }, - "source": [ - "bgm_low = BayesianGaussianMixture(n_components=10, max_iter=1000, n_init=1,\n", - " weight_concentration_prior=0.01, random_state=42)\n", - "bgm_high = BayesianGaussianMixture(n_components=10, max_iter=1000, n_init=1,\n", - " weight_concentration_prior=10000, random_state=42)\n", - "nn = 73\n", - "bgm_low.fit(X[:nn])\n", - "bgm_high.fit(X[:nn])" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "BayesianGaussianMixture(max_iter=1000, n_components=10, random_state=42,\n", - " weight_concentration_prior=10000)" - ] - }, - "execution_count": 177, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "P6Epp0-LDRoZ", - "outputId": "bd81dc09-33cd-496a-ca32-5ba0c292c1ba" - }, - "source": [ - "np.round(bgm_low.weights_, 2)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.52, 0.48, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ])" - ] - }, - "execution_count": 178, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "HPn654aXDRoZ", - "outputId": "b87e4b8e-0219-4e91-9192-7655f0e49a8c" - }, - "source": [ - "np.round(bgm_high.weights_, 2)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.01, 0.18, 0.27, 0.11, 0.01, 0.01, 0.01, 0.01, 0.37, 0.01])" - ] - }, - "execution_count": 179, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "WIt9zFf_DRoZ", - "outputId": "91cd0249-d29a-440a-b77e-98704e19b75c" - }, - "source": [ - "plt.figure(figsize=(9, 4))\n", - "\n", - "plt.subplot(121)\n", - "plot_gaussian_mixture(bgm_low, X[:nn])\n", - "plt.title(\"weight_concentration_prior = 0.01\", fontsize=14)\n", - "\n", - "plt.subplot(122)\n", - "plot_gaussian_mixture(bgm_high, X[:nn], show_ylabels=False)\n", - "plt.title(\"weight_concentration_prior = 10000\", fontsize=14)\n", - "\n", - "save_fig(\"mixture_concentration_prior_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: mixture_concentration_prior_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "RVCwOr5fDRoa" - }, - "source": [ - "X_moons, y_moons = make_moons(n_samples=1000, noise=0.05, random_state=42)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "scrolled": true, - "id": "OdezfDVjDRoa", - "outputId": "253d80fe-e61c-42d9-994d-2a5733f5a80c" - }, - "source": [ - "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", - "bgm.fit(X_moons)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)" - ] - }, - "execution_count": 182, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "2oMhTT5RDRoa", - "outputId": "d3d7c1c3-5589-497a-da36-42782b862f71" - }, - "source": [ - "plt.figure(figsize=(9, 3.2))\n", - "\n", - "plt.subplot(121)\n", - "plot_data(X_moons)\n", - "plt.xlabel(\"$x_1$\", fontsize=14)\n", - "plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", - "\n", - "plt.subplot(122)\n", - "plot_gaussian_mixture(bgm, X_moons, show_ylabels=False)\n", - "\n", - "save_fig(\"moons_vs_bgm_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: moons_vs_bgm_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "YzWdpuvaDRoa" - }, - "source": [ - "이런 좋지 않군요. 반달 모양 클러스터 2개를 감지하는 대신 이 알고리즘은 8개의 타원 클러스터를 감지했습니다. 하지만 밀도 그래프는 그렇게 나쁘지 않기 때문에 이상치 탐지에 사용할 수 있습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "fH1GWynkDRoa" - }, - "source": [ - "## 가능도 함수" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "qvtG1K6zDRoa" - }, - "source": [ - "from scipy.stats import norm" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "KngXxSwlDRoa" - }, - "source": [ - "xx = np.linspace(-6, 4, 101)\n", - "ss = np.linspace(1, 2, 101)\n", - "XX, SS = np.meshgrid(xx, ss)\n", - "ZZ = 2 * norm.pdf(XX - 1.0, 0, SS) + norm.pdf(XX + 4.0, 0, SS)\n", - "ZZ = ZZ / ZZ.sum(axis=1)[:,np.newaxis] / (xx[1] - xx[0])" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "jbX4SWlbDRoa", - "outputId": "9fd330c8-fd04-4489-a9d4-a1e785ce1b0d" - }, - "source": [ - "from matplotlib.patches import Polygon\n", - "\n", - "plt.figure(figsize=(8, 4.5))\n", - "\n", - "x_idx = 85\n", - "s_idx = 30\n", - "\n", - "plt.subplot(221)\n", - "plt.contourf(XX, SS, ZZ, cmap=\"GnBu\")\n", - "plt.plot([-6, 4], [ss[s_idx], ss[s_idx]], \"k-\", linewidth=2)\n", - "plt.plot([xx[x_idx], xx[x_idx]], [1, 2], \"b-\", linewidth=2)\n", - "plt.xlabel(r\"$x$\")\n", - "plt.ylabel(r\"$\\theta$\", fontsize=14, rotation=0)\n", - "plt.title(r\"Model $f(x; \\theta)$\", fontsize=14)\n", - "\n", - "plt.subplot(222)\n", - "plt.plot(ss, ZZ[:, x_idx], \"b-\")\n", - "max_idx = np.argmax(ZZ[:, x_idx])\n", - "max_val = np.max(ZZ[:, x_idx])\n", - "plt.plot(ss[max_idx], max_val, \"r.\")\n", - "plt.plot([ss[max_idx], ss[max_idx]], [0, max_val], \"r:\")\n", - "plt.plot([0, ss[max_idx]], [max_val, max_val], \"r:\")\n", - "plt.text(1.01, max_val + 0.005, r\"$\\hat{L}$\", fontsize=14)\n", - "plt.text(ss[max_idx]+ 0.01, 0.055, r\"$\\hat{\\theta}$\", fontsize=14)\n", - "plt.text(ss[max_idx]+ 0.01, max_val - 0.012, r\"$Max$\", fontsize=12)\n", - "plt.axis([1, 2, 0.05, 0.15])\n", - "plt.xlabel(r\"$\\theta$\", fontsize=14)\n", - "plt.grid(True)\n", - "plt.text(1.99, 0.135, r\"$=f(x=2.5; \\theta)$\", fontsize=14, ha=\"right\")\n", - "plt.title(r\"Likelihood function $\\mathcal{L}(\\theta|x=2.5)$\", fontsize=14)\n", - "\n", - "plt.subplot(223)\n", - "plt.plot(xx, ZZ[s_idx], \"k-\")\n", - "plt.axis([-6, 4, 0, 0.25])\n", - "plt.xlabel(r\"$x$\", fontsize=14)\n", - "plt.grid(True)\n", - "plt.title(r\"PDF $f(x; \\theta=1.3)$\", fontsize=14)\n", - "verts = [(xx[41], 0)] + list(zip(xx[41:81], ZZ[s_idx, 41:81])) + [(xx[80], 0)]\n", - "poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n", - "plt.gca().add_patch(poly)\n", - "\n", - "plt.subplot(224)\n", - "plt.plot(ss, np.log(ZZ[:, x_idx]), \"b-\")\n", - "max_idx = np.argmax(np.log(ZZ[:, x_idx]))\n", - "max_val = np.max(np.log(ZZ[:, x_idx]))\n", - "plt.plot(ss[max_idx], max_val, \"r.\")\n", - "plt.plot([ss[max_idx], ss[max_idx]], [-5, max_val], \"r:\")\n", - "plt.plot([0, ss[max_idx]], [max_val, max_val], \"r:\")\n", - "plt.axis([1, 2, -2.4, -2])\n", - "plt.xlabel(r\"$\\theta$\", fontsize=14)\n", - "plt.text(ss[max_idx]+ 0.01, max_val - 0.05, r\"$Max$\", fontsize=12)\n", - "plt.text(ss[max_idx]+ 0.01, -2.39, r\"$\\hat{\\theta}$\", fontsize=14)\n", - "plt.text(1.01, max_val + 0.02, r\"$\\log \\, \\hat{L}$\", fontsize=14)\n", - "plt.grid(True)\n", - "plt.title(r\"$\\log \\, \\mathcal{L}(\\theta|x=2.5)$\", fontsize=14)\n", - "\n", - "save_fig(\"likelihood_function_plot\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "그림 저장: likelihood_function_plot\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "6alksrcuDRob" - }, - "source": [ - "# 연습문제 해답" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Nc4al8u5DRob" - }, - "source": [ - "## 1. to 9." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "HQhBj9qDDRob" - }, - "source": [ - "부록 A 참조." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "y_kYgPHtDRob" - }, - "source": [ - "## 10. 올리베타 얼굴 데이터셋 군집하기" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "etEFi3bNDRob" - }, - "source": [ - "*문제: 전통적인 올리베티 얼굴 데이터셋은 64×64 픽셀 크기의 흑백 얼굴 이미지 400개를 담고 있습니다. 각 이미지는 4,096 크기의 1D 벡터로 펼쳐져 있습니다. 사람 40명의 사진을 10장씩 찍은 것입니다. 어떤 사람의 사진인지 예측하는 모델을 훈련하는 것이 일반적입니다. sklearn.datasets.fetch_olivetti_faces() 함수를 사용해 데이터셋을 불러오세요.*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "ppcrzVPtDRob" - }, - "source": [ - "from sklearn.datasets import fetch_olivetti_faces\n", - "\n", - "olivetti = fetch_olivetti_faces()" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "QQg7UPHbDRob", - "outputId": "865e64fc-b99d-40e4-86f9-75727c738622" - }, - "source": [ - "print(olivetti.DESCR)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ".. _olivetti_faces_dataset:\n", - "\n", - "The Olivetti faces dataset\n", - "--------------------------\n", - "\n", - "`This dataset contains a set of face images`_ taken between April 1992 and \n", - "April 1994 at AT&T Laboratories Cambridge. The\n", - ":func:`sklearn.datasets.fetch_olivetti_faces` function is the data\n", - "fetching / caching function that downloads the data\n", - "archive from AT&T.\n", - "\n", - ".. _This dataset contains a set of face images: http://www.cl.cam.ac.uk/research/dtg/attarchive/facedatabase.html\n", - "\n", - "As described on the original website:\n", - "\n", - " There are ten different images of each of 40 distinct subjects. For some\n", - " subjects, the images were taken at different times, varying the lighting,\n", - " facial expressions (open / closed eyes, smiling / not smiling) and facial\n", - " details (glasses / no glasses). All the images were taken against a dark\n", - " homogeneous background with the subjects in an upright, frontal position \n", - " (with tolerance for some side movement).\n", - "\n", - "**Data Set Characteristics:**\n", - "\n", - " ================= =====================\n", - " Classes 40\n", - " Samples total 400\n", - " Dimensionality 4096\n", - " Features real, between 0 and 1\n", - " ================= =====================\n", - "\n", - "The image is quantized to 256 grey levels and stored as unsigned 8-bit \n", - "integers; the loader will convert these to floating point values on the \n", - "interval [0, 1], which are easier to work with for many algorithms.\n", - "\n", - "The \"target\" for this database is an integer from 0 to 39 indicating the\n", - "identity of the person pictured; however, with only 10 examples per class, this\n", - "relatively small dataset is more interesting from an unsupervised or\n", - "semi-supervised perspective.\n", - "\n", - "The original dataset consisted of 92 x 112, while the version available here\n", - "consists of 64x64 images.\n", - "\n", - "When using these images, please give credit to AT&T Laboratories Cambridge.\n", - "\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "re8jDiztDRob", - "outputId": "b54e4727-ee47-4d4e-818a-93fcd70cb04b" - }, - "source": [ - "olivetti.target" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1,\n", - " 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,\n", - " 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5,\n", - " 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6,\n", - " 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8,\n", - " 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10,\n", - " 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11,\n", - " 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13,\n", - " 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15,\n", - " 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,\n", - " 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18,\n", - " 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20,\n", - " 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22,\n", - " 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23,\n", - " 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25,\n", - " 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27,\n", - " 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28,\n", - " 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30,\n", - " 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,\n", - " 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,\n", - " 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35,\n", - " 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37,\n", - " 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39,\n", - " 39, 39, 39, 39, 39, 39, 39, 39, 39])" - ] - }, - "execution_count": 189, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "qwHs8pINDRob" - }, - "source": [ - "*문제: 데이터셋을 훈련 세트, 검증 세트, 테스트 세트로 나눕니다(이 데이터셋은 이미 0에서 1 사이로 스케일이 조정되어 있습니다). 이 데이터셋은 매우 작으니 계층적 샘플링을 사용해 각 세트에 동일한 사람의 얼굴이 고루 섞이도록 하는 것이 좋습니다.*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "nXwGS4KLDRob" - }, - "source": [ - "from sklearn.model_selection import StratifiedShuffleSplit\n", - "\n", - "strat_split = StratifiedShuffleSplit(n_splits=1, test_size=40, random_state=42)\n", - "train_valid_idx, test_idx = next(strat_split.split(olivetti.data, olivetti.target))\n", - "X_train_valid = olivetti.data[train_valid_idx]\n", - "y_train_valid = olivetti.target[train_valid_idx]\n", - "X_test = olivetti.data[test_idx]\n", - "y_test = olivetti.target[test_idx]\n", - "\n", - "strat_split = StratifiedShuffleSplit(n_splits=1, test_size=80, random_state=43)\n", - "train_idx, valid_idx = next(strat_split.split(X_train_valid, y_train_valid))\n", - "X_train = X_train_valid[train_idx]\n", - "y_train = y_train_valid[train_idx]\n", - "X_valid = X_train_valid[valid_idx]\n", - "y_valid = y_train_valid[valid_idx]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "xdVsZIMwDRob", - "outputId": "56395bfc-b3e2-4bc1-ebe4-3c72eaf36de4" - }, - "source": [ - "print(X_train.shape, y_train.shape)\n", - "print(X_valid.shape, y_valid.shape)\n", - "print(X_test.shape, y_test.shape)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(280, 4096) (280,)\n", - "(80, 4096) (80,)\n", - "(40, 4096) (40,)\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "61tzdOHPDRoc" - }, - "source": [ - "속도를 높이기 위해 PCA로 데이터의 차원을 줄입니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "2t17kT3gDRoc", - "outputId": "c3ba1418-56b2-4e68-bcdc-f0d91920334a" - }, - "source": [ - "from sklearn.decomposition import PCA\n", - "\n", - "pca = PCA(0.99)\n", - "X_train_pca = pca.fit_transform(X_train)\n", - "X_valid_pca = pca.transform(X_valid)\n", - "X_test_pca = pca.transform(X_test)\n", - "\n", - "pca.n_components_" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "199" - ] - }, - "execution_count": 192, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "p1i_dLopDRoc" - }, - "source": [ - "*문제: 그다음 k-평균을 사용해 이미지를 군집해보세요. (이 장에서 소개한 기법 중 하나를 사용해) 적절한 클러스터 개수를 찾아보세요.*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "2u8ifzTmDRoc", - "outputId": "50a00b18-17f0-4976-d288-ad55e9904c6f" - }, - "source": [ - "from sklearn.cluster import KMeans\n", - "\n", - "k_range = range(5, 150, 5)\n", - "kmeans_per_k = []\n", - "for k in k_range:\n", - " print(\"k={}\".format(k))\n", - " kmeans = KMeans(n_clusters=k, random_state=42).fit(X_train_pca)\n", - " kmeans_per_k.append(kmeans)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "k=5\n", - "k=10\n", - "k=15\n", - "k=20\n", - "k=25\n", - "k=30\n", - "k=35\n", - "k=40\n", - "k=45\n", - "k=50\n", - "k=55\n", - "k=60\n", - "k=65\n", - "k=70\n", - "k=75\n", - "k=80\n", - "k=85\n", - "k=90\n", - "k=95\n", - "k=100\n", - "k=105\n", - "k=110\n", - "k=115\n", - "k=120\n", - "k=125\n", - "k=130\n", - "k=135\n", - "k=140\n", - "k=145\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "kXb2hAZFDRoc", - "outputId": "13800ecd-bf65-4973-c808-9dcbb9566e9c" - }, - "source": [ - "from sklearn.metrics import silhouette_score\n", - "\n", - "silhouette_scores = [silhouette_score(X_train_pca, model.labels_)\n", - " for model in kmeans_per_k]\n", - "best_index = np.argmax(silhouette_scores)\n", - "best_k = k_range[best_index]\n", - "best_score = silhouette_scores[best_index]\n", - "\n", - "plt.figure(figsize=(8, 3))\n", - "plt.plot(k_range, silhouette_scores, \"bo-\")\n", - "plt.xlabel(\"$k$\", fontsize=14)\n", - "plt.ylabel(\"Silhouette score\", fontsize=14)\n", - "plt.plot(best_k, best_score, \"rs\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "IXOX5gG7DRoc", - "outputId": "c200ecea-4e2c-4f55-f9f0-bb9b037ae878" - }, - "source": [ - "best_k" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "120" - ] - }, - "execution_count": 195, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ICT6YDJHDRoc" - }, - "source": [ - "최적의 클러스터 개수는 120개로 매우 큽니다. 사진 속의 인물이 40명이기 때문에 아마 40 정도로 예상했을 것입니다. 하지만 같은 사람이 사진마다 다르게 보일 수 있습니다(예를 들어, 안경 착용 유무나 서 있는 방향이 다를 수 있습니다)." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "KEF-5XgMDRoc", - "outputId": "68a78678-5803-4541-e3d8-3a2e5f1c8c7d" - }, - "source": [ - "inertias = [model.inertia_ for model in kmeans_per_k]\n", - "best_inertia = inertias[best_index]\n", - "\n", - "plt.figure(figsize=(8, 3.5))\n", - "plt.plot(k_range, inertias, \"bo-\")\n", - "plt.xlabel(\"$k$\", fontsize=14)\n", - "plt.ylabel(\"Inertia\", fontsize=14)\n", - "plt.plot(best_k, best_inertia, \"rs\")\n", - "plt.show()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "em78FKyPDRoc" - }, - "source": [ - "이너셔 그래프에서는 엘보우 지점이 없기 때문에 최적의 클러스터 개수가 명확하지 않습니다. 그냥 $k=120$을 사용하겠습니다." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "ysbfHV12DRod" - }, - "source": [ - "best_model = kmeans_per_k[best_index]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "K032vkFzDRod" - }, - "source": [ - "*문제: 클러스터를 시각화해보세요. 각 클러스터에 비슷한 얼굴이 들어 있나요?*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "B9zXy2JUDRod", - "outputId": "ec9b3c64-74b6-43cb-b84d-49906a85d0dc" - }, - "source": [ - "def plot_faces(faces, labels, n_cols=5):\n", - " faces = faces.reshape(-1, 64, 64)\n", - " n_rows = (len(faces) - 1) // n_cols + 1\n", - " plt.figure(figsize=(n_cols, n_rows * 1.1))\n", - " for index, (face, label) in enumerate(zip(faces, labels)):\n", - " plt.subplot(n_rows, n_cols, index + 1)\n", - " plt.imshow(face, cmap=\"gray\")\n", - " plt.axis(\"off\")\n", - " plt.title(label)\n", - " plt.show()\n", - "\n", - "for cluster_id in np.unique(best_model.labels_):\n", - " print(\"Cluster\", cluster_id)\n", - " in_cluster = best_model.labels_==cluster_id\n", - " faces = X_train[in_cluster]\n", - " labels = y_train[in_cluster]\n", - " plot_faces(faces, labels)" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 0\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 1\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 2\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 3\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 4\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 6\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 7\n" - ] - }, - { - "data": { - "image/png": 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\n", 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qSNNUyhl5hcMFGltvhPSjYEbh6emp7E8fN68FfDQaoSgKdLtdsSLDWK+vPF0hmeitKjfheR6azSZ838doNMJ8Pofv+zJSYniSLDmD29jYwGAwEJGiA6PAms/nOD09hed5svdf5fHT01MRLiQU13URx7F4DPjp7JuERMuT6Gh913XR6XRWJqau68pAIc9z0eGNRgOe58nRkW3bEinkiyiKkGUZjo+PkSSJ3KqiH2ysBTyOYwFPQcBjII6jCDKO45WGhrnIfl2p8xsESWz9fh/tdhu+70u4c5jRbDZFCnPUzPM3lkPgvNxyTNVoNKRS0ONr1/H9/X08fvwYWZZhZ2dHvhCA5KR+p5LuSYLgsEI3Hr3I2zn0IYc+2QUgDB5F0cqklyOso6MjLJdLDIdD+Qz3uHY5u3TpEp49e4bT01OEYYgwDKWP5mkFGxHgp1tHaBASHj1h27aELT1IY5APWNb0Wq7f3MffOYl9/PixRAYNRi66aF0I3HEcDAYDzOdzTCYT6at938dwOES/30er1UKWZVJWCEq//VMfWPLBMZLebJBPWEVIZnmei5ACIGLlwYMHK8fBjDJqi7VD3bIsbGxsoN1uYzweY7lcSs30fV9u1Nva2pKZuH4bKEUKQbG11Ce0BMIWk4TJyY/ubc7ji6LA06dP8ejRo78wMln/9Tng6+vDfyG9b+sD8PdtfQD+vq33Fvj/AgrHUpU6K1VjAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 10\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 11\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 12\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 13\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 16\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 17\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 18\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 20\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 21\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 22\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 23\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 24\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 25\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 26\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 27\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 28\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 29\n" - ] - }, - { - "data": { - "image/png": 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3cP/+faRpiuFwKBUZbdppUulztZmkBp1GPk6uk5qm67B0HxpIraHaNWhB5Lwty0IURQIc89OsPjH9GMex+PXJZCKa+3nzp9tkvK2F/Z0BpgYRXN1pwBDm83qWWF4bDofo9/vY29vDr371K7x8+RKlUglf+9rXsLy8jDAM0Wg0sL29jd/97nfo9/twXVfIleM4UuvkvbWfpDU5aULplwj4WYMby8/rbJsmNdRm7ff4lwWYNE2leKCzfXmew/M82auZmRl88MEHqFQqiOMY3W53Ks+tu2noKnXF62TjwYUB5pcp5ZQcTlRLEIkQKyfM7ERRhGq1inv37qFWq2F5eVlCqsFggAcPHqBQKOC3v/2tlNO2trawsrKCJEkkQ6ZdRJqmU6ZLt86c7KY4a5Ah8zvaQlGLqd0ni/kABMw4jrGxsYHd3V2Mx2M0Gg3Mz88L2aIlY9HlwYMHePToEYwx6PV6ksxhCMk56CYChnInBfpCAGsGSy3WbSwEmzEkpY11XUocAKysrKBWq4mZHY1GyPMc+/v7CIIAH374IRYXF/H69Wv5DktkrLiQVepmOHaUfF7fEzXmPAADkDkTOM07CDx5ADVZlwF3dnbw61//Gm/evIHneVhdXUWj0ZBwaW9vD0+ePEG/30epVML+/j4cx8Hq6iqyLJPsGYVVE0kqClOnxIXu6sIA67CAZpqaqU0DN4BhEDeBeWj6Thb8GU7wUS6XsbKyIvXT2dlZ8VU6NuRm869uciMB0uHXeQa1gZpCn675h25B4udGo5EURpIkwWg0QrVaRbPZhO/7aLVaAkyapqjX63jw4AHa7TaGwyGyLEO73cbNmzfRaDTEtNMyajZPH00MOE4q0jsBTOnQ3ZGaZOhGNIKrkyFxHKNSqaBer4sZZBGbE9MbydwqcJzJYfYKgMR/vBdw7CZ0dyX9NEuO5wH4pEboteq2m5NxLYUJONJ4drBQKFkbj6II8/PzePjwIcIwxP7+vhRTGBLato39/f0psshuFuBY4Rij87ULkyzmkLlI3kjHm+z409rECVLSCQpNuQ4HqJlJkojGA5CGAh2L8zVqMgWBzQjkCTSzusPkrKELIABEY7Tf5V7w39QwdpP4vi9Cy0wbLQp71BYXF+F5nphb5rnpflzXFaHRGSu6B3ZzEIezrNS5Ojr4b01gaEKofdyQOI7F5NF80ezyGhQMMk/meRnr6libmk4BcF13KgbmYmkx+G/GmucZ2qdpwsJ16ueaiJH1MmfOUx+TyUQiDH5OCyXNtw41mdPmHvE9KoGuCVBwubfsOHlngIFjLeTkqKHckNFoJASHpg6AdA/SnBhz1GBH38PkRp7nUx0NCwsLU8l7MkY2wAGYSiHShFGAuHC20ZxnMMeskyXUXB0XUzh1Z6QmnSwVAscKobtISQyZYdNpR+4zfbsmk9w77ZeJxVnrPBVg13UlO6PztbqTgAXrkyRAgx2GIbrdLg4ODqRgrfO53KhKpYKlpSVcv34dy8vL4rvDMEQURZIVyrJMOkwI6El+kCQJZmZmzg0wNYXz4YObyTQqAElQcNAlBUEg89CtP1pJ9PV08kb3XfX7Rz+8w3ZZChH3VrsNtvxcCGCm33QTOLWJFRO2uxDkfr8/lYwIwxB7e3tot9vSZ0xhoTnXRGFrawuffPIJ5ubmcO/ePWGinU5HNiyKIty4cUOYMlksJZr+/bQEgB6cO+fMzdQJhjiOZf4M8XQumAkRJnlocai5tDbUOHZx6K5L9oNzrUmSoNVqCWeh/3UcZ4pUnjZOBZiFeOC48UuX+mha2ZjHHl/giACwQ5JdIGxe1wCzlqzJwuHhIT777DPs7OxgcXERQRCg2+0iCAL4vo80TVGtVqU9R4cvGpTzdlXqZAIFme6FPESzYRYGaIFobvv9vqxXpx+1paK14UmF+fl5LCwsoFA46nXb39/H3t4eisUiBoOBEDYqFN1DoXDUOOG6rhDTdwa43+8jTVM0Gg3xH2S2Oi9NCTw4OMCzZ8+mOu4XFhakaK0TFACELbJRDYCY/U6ng/39fWxtbUmf9PLyMm7cuIFCoYDDw0M0Gg1pIqAWp2kqedznz5/j4cOH5wKZ1+BgHZvpR7oJNsUBRxbOtm1EUSQ9zmTzOrdMRaB1YC15fX0dnueh2WxiaWkJQRDgzZs32NjYQK1Wk31ZWFgQwaPW6nw/9+6dAX78+DFc18W3v/1tMUVkp8PhEJVKZSpsoXazNfbatWvS/qkDdl2YyPOjrkx2NLB8ePPmTZRKJXQ6HTx79gxPnz6dInvUJJpjagxHFEX4+c9/ju9973tnghuG4VTfGedLoNliRPO5vb2NwWCApaUlFAoF0ViSKk24GDFoIJgf4NGftbU1rK+vo1wuI45j7O3t4dq1ayiVSuh2u9KvRbOsrU2pVDq1wf9UgP/85z9jdnZ2KnVHXxLHsQToLFQ3m008evRoiiFqU6YlmHEqX+N1yWB5sOzu3btYXl7G/fv38fz5c0mUMHSiXyPRoLANBgO8evXqTHABYHd3F8vLy8IxRqORxKC8PucdRRHW19exu7uLXq8nfWe+70s3h2b5+sEqUZIk0tNMzd/c3MSzZ88wGAwkeiABI+/Rgkffa1kWNjc3LwYwj3Kwp0qHEbokxlonW190b5aOnflZkhACohMHFAT6QW72ysoKCoWCnBEqFI4OwuljnrpY3ul0hKycNba2tqY2TK+PzX/0hTzpt7CwIJrFc1HAcQinq06auOkYl+bXcRzcuXMHq6urePHiBQaDAebn5zEzMyPKwqNAJIOcjzEGa2trFwOYEryzs4NqtSq1SjbDEzx9DodF/l6vJ4RKpzwpyVyo7jOyLAu+70vnJkMi13XheR6uX7+OSqUyxTLDMJyKYbmZOzs7585kbW1tiUUiOLw2AWOlp9Vq4Vvf+pZYL/pETaCYe9YpR75Hls9uDmayFhYWsLCwgJs3b2J9fV20HThOOGkFYwiXpik2NjYuDjAAbGxsYGVlRZIWDA+0VFHSgCMpJjNmyo1mWLNCbqguHpTLZTnrpOu8TKiwfso5sDNC338ymWB9ff3c5UL6vfn5eUk8cL68L7s2LMuS5nwKAj8HHMf0tAI6MUQLRUKoiRgb4efm5lAsFuUcE1kz95GD92i32xf3wdys7e1t9Ho9NJtNAYMxns5BA8cdilyIZs665MZWFUonuxVJtnhvarxt2xgMBiI8DFV0zxQtQrfbxdra2rkBLhQK2NraQqvV+htXQS3WWSm6K56K1EdhT7Jl1pl16ZHCQhbOo65sEa7X62KWeS2evaLLIMAvX76UxMg7A0yNYLhSq9UkNUjA2NlPcOkT2SfNIy86radJGE00K0ZctNZ4CgqvWS6XpatBaws37/nz59jc3Dy1yqJHsVjE+vo67t+/L8+pfVwnGatupONZYGqXLsgTDLofpjtpIXjOit+nYDA3wPtxDtoF8ZqTyQR//OMfT3VFZ5poTurp06e4c+eO3EQTB6YzCTK1lDloreHAsRljVosnHD6vU1InMcrlspwo5PvUfM43iiL85je/kQaB8wxjDN68eYPDw0PMzs5KsoRmk4LEBINuX/V9X+JTy7LEpNN0c666EkdXxLCQvIYgkrwyJan3Qgtcu93G06dPp3Lg7www02RkpY1GQ8DS/pGaxOMY7KkiUQOme4hJOrTZIugkFzru5Xz4OsMNfoZzevHiBf7whz9M1XDPA/BwOMSrV6/QarXE52mh5H3pa+mPufGMHnhAjntDYqorS9rtaB5CwdEH5LlmxvvMzrmui08++QR7e3sX/wkHfWPP8yTu1LVQ4Bhohi40U/STwLHZ46J1UeCkSdJMloJzMvGgT+aR6PX7ffz0pz+V/qbzNt1xfk+fPsXDhw+FFxAwxtwcOl3Lf2uyyIQOzba2RDTRbJXVboRchaVUXQBhuy2tQqfTwUcffSSCcyGAKT28CSfPchZwXC1hPzAXyUNcXJgGS+dnWS2K41jCLQLJDaCZYgxNZglAiMxwOMTHH3+MJ0+eiI+n4J01CEAURfj973+PR48eATiOx7VZ5qaTvVMTdc+aFnx+h0PX0E9aJ11/pvWkdeL9qQAfffSRHKE9bZ1nsmi9ePoOVpBoxnSfkjZvOjzS9VBqFjWWifM4juWnHpjNoWmi1FOD6dvY0Pbs2TP84he/ODex0oMb5Lounjx5gjt37kjqkmsCIH8JBNfHeXIvCChz4wTvZFGAHIUEi7GzDq2Ym9c8YHd3Fx9//PFUMeTCAHOwRMYwhSU83/enTvDTPOukCCfKTaLQkDGSRDBtx9N2NPe2fXT6jwvV5rLX62F5eRlra2vY39+XGvC7lAs1aeOv6PDAuiY/urWWgkprRlPO67GsqNm+Ps1PjqJrz6zecR4kdQCmvstfB6CAnCbUpwJcq9VkETxENplMpEufVZ/BYDDVbqPjV131oKBwQtwsmh+mGFkK5KJ4bFOHCvxetVrFwsKCFAloJt9Vk7VJPDg4wI0bN9DpdCSE06yfYRGJIs86a7bM8JGfoSDHcTx1qEzn30/mn7mWLDtuqb13795UNUkrzzsDfPv2bfzpT3+SBIOO0RiQA5AfJWHyghumz9nwOzS/Ol+rfcjJojlwLL28DlmrbixnuykFAMC5QdYFEZp9smGumalKXl8LrgafKVmaXPps3YERRdFUtUlHC+wmnUwmU+lg/j4WD4Xfvn0bURTh7du3px6wOxVgHh3RPy8IHLNr/ugIJZO/9XSSPJBY0HzrpAc3g5vMzE6n05F78AQETXUQBKjVapiZmUGz2ZQDbbrYoOd71tCdF4zJqU3MjDE044ZTKPmc9yUh43t6bfS33FvdBsywiN0aDMnol6vVKpaWlmDbNg4PDzEej/Hd734Xv/zlL7G3t/d313b1v65c8nH1i++XfFwBfMnHFcCXfFwBfMnHFcCXfFwBfMnH/wOm7RMHobBZLAAAAABJRU5ErkJggg==\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 31\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 33\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 34\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 35\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 36\n" - ] - }, - { - "data": { - "image/png": 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ohypU1a2pTQKqVajolxsFAPl8/sTCpbKxfk2LokKrCkmQA0AUioCU7p0pEokiYhCGLCqAWv3iNdV78ncCNpXzZ8i8dOnSP13ba/NgVbgM9tRwbijzY74maa9Wc44Kl9pPt8yaJkGSSkNSuLRcAFMxi0KikCng49Dl0TVSAQmWgFd1Yt5HReUqL8DXLOKrc2TNuNvtCiAcDAYi6F6vJ/FZZau4PrWuzP0BIApDt//PxomKDWrh3DCMKTdCHpixQp0MXzN+0TJYt2XbCxN1ghHgsFjA9OrowgHIpqsolVahaRra7TZardZxy5sShNokoIIk9TNUZm4uXS0rXK7rolaroVQqwXEc4cR7vR5c10W9Xhf6NJ/PS+oTRRFyuZy4eWIbGoMawo7G32q1inK5fDoBq1aiuhPmquSQGTuI+jhIXriuizAMceHCBXEzJDk6nQ5arZYIOZ/Pw3Ec7O3twXVdZDIZSa/Ubg8KmgJR3SMAHBwcYHNz80QC5kaq/U109WxQADDlivkZAEJFuq4L3/exuLgIAGi329jb25O9qdfraDQaQsIw/JimiU6ng0KhIFap1seBV8pPkMderfX19WOzhRMVG1Q3wYUzPlFgqrsGDl0IS2u1Wk2Ii+FwiP39feGWwzBEvV5Hu90WUMVFsKqTyWSm4h7vp1q2ClSGw6HkzycVMH/U9arrBF4pEzl2Nhaw+ZCNiGEY4smTJ3jw4AEajQZu3LiBfD6Pzc1N1Go1SZ92dnYwPz+P27dvo16vS8mTnR9cJxVPxSGapkmR4dRpEt0S4zDwyjWqwlVjYxAEwruyvYSW2Gq18NVXX+HZs2eIogi3bt0CALx8+VJaUMfjMarVKmZmZlCpVKT8R0ChVoxYxGCqQTAyGAwkbz3JoFLSIilcNS9mMQR41XVJ0sN1Xbiui/F4jFarhVqthi+++AKfffYZbNvG/Pw8CoWCEBPlchkbGxv4/PPP8ctf/hKVSgWNRkPAGfFOPB6H4zhTrT30fvSg2Wz29NUkdgmqQ7UiWgtTCra49Pt99Pt94ZujKMLBwQF0Xcf9+/exurqKixcv4urVq7AsC+12G51OB5VKBWtra3j48CE++OADqXcyBNAimbKpRQWCHLW7kYDkJAJWS3H0BqqrVGMi78F5syJEharVatA0DUtLS1heXsbc3Jzk8qyiTSYTeX93dxdhGKJWqwE4pDWZ29M1E4+ww5RhKplMSkXujQVMN0T3rKJa5pokN2itvu+j3W4Lgc78kWxUpVJBoVDAzZs3hWMl5Umi4OLFi9B1Ha1WS1gjVqlYlaLgqdm+78vGc05vgqIJFhk21HBEJSBlSyVm3ZZN8Y7j4MKFC9A0DdevXxe6dTKZ4LvvvsPW1pZ4tmw2i48//liIomKxiHa7LXvN1JIC5++kf8njE6mfSsAqPaayQgz2jHW8KYva3AC601QqJacj7t69i3a7jUQigW63i8ePH2N/fx+GYSAIAiQSCbz77rsiWNu20ev1xMKoyWrzGhkyEv6MgycVMDeVblGtezMu03LoJVzXFeGqJxyWlpYEQVcqFRwcHKBWq6FareLbb79FKpWSJsIrV64gHo+jWq1OdYjyhAWvw54wAOIpSeNyracSMC1PZZwodLX7X4237GUiGcIu/ZmZGViWhUKhAM/z5MjG5uYmdnZ2MDc3h0KhgHQ6LVrfbrdFmfr9vqRoZHQMw4DnedKvTa1mh2Mmk3ljAaukgtr/pQqZ6yU9CxyybOVyWRod1P0KwxBzc3Not9uwbRvZbFZOSziOM1VEaDab8DxvKkVkUYLAkx5NJXpOJWA1oHMTKGCmSNTmdruNbrcr7mo8HiOXy6FUKknTNmM2+49yuZzkcKVSSeITG9hN00S/35e80HVdaXlROxa5QcxRO52OFDveZHBt9BC0DCorswIqM4sC2WwWs7OzWFhYmCJy2IWRTqexvLyMcrksCJ1tuTQCgqswDNFqtaaAK4kQpqcqelcPJ7yxgNW8U10wLYaosNfrodPpSK2TxYJCoYDFxUVhWlhQIJ1ZLpfxwQcfoNfrCahRKzg8+gIAmUwGzWZTGgQoEFoLUbSaIh3H8Bxdp0qicI28HrEE22IZknhkhkps27bkt+zTZncKAZF6SoMeibkwUyA20jEMqcdeVNDHbOG4dPC1MZgbQJBBa6IW8X019lqWhWw2i7m5OXFZQRCg0+mg2WxO5ciapsG2bdkMIlieqnMcRxSNAI4kPQ+8qW2mBDue550YRavkhSrwo8JnTKaHoJeqVCqiTIZhYHt7G9vb23J+i8qQy+VEUZgJsCWXTFwmk0GpVJKGPs5D/Z3zYMEhm82eTsAcdH9Hj3iQImS5EDh0J+VyWSbOhHxjYwO7u7vSh8T8lfRcv98XZWGcKhaLKBQK0o5TLpfFc3CB1GjVxTGtOs51qUPllNXKDb9P5SEm4RwJqohy+/0+nj17hj//+c+oVquSVWQyGdi2jYODAwGDruvCNE3Mzs5ieXkZly5dkuLI7OyssGLskCFVqVa96L1OzUWrh6bUOEwQwsIA20PH4zGy2aw0q/f7faysrKDZbGJjYwPVahVRFKHb7WJubk5yOMYkAituKgmCK1euYDI57IOemZkRlkc98qHytgcHB4ii6Nj0QR1HS5AAJA3kXNiAx5jLDo1SqSQu+eHDh/jiiy/w97//XZQsn89LCrS1tYVyuYxUKiW05d7eHhqNBoIgwHvvvScF/nK5jG63K8dJ2d2pFnoYjo7zVK+1YNUtEMXRemKxmPQJsem8WCwKx7yysoL19XXouo5Go4FsNosLFy7gxYsX+M1vfoNqtYoHDx5gYWEBlUpFmsUbjQbW19exvr6O/f191Ot1LC4uyhFLdbG0Kmp1r9fD7u4uZmdnT+yiVWtnXGRvM1Esc2L2Y41GIxSLRQCHjfsrKyt49OgRnj9/juFwiF/96lc4ODjAhx9+iJ/97Gd4/vw5VlZW8NFHH8EwDDx69Ajb29tYWVnB1taWdLZcvnxZmiDYFkvAya4WYgOV3j2VgAms1For8IrFYtygKx4MBphMJtjb28Pa2hpevHiBfr+P999/H++88w7m5ubw85//HJZl4aOPPsLOzg56vR4++eQTDIdD1Go1zM/PQ9M0fP7557h//z5WVlakoE1XxI4Lzoe0omma2N7ehu/7SKfTx7aTqqPb7UpKxc3kesmW8X32nJHAaTQaWF1dxcOHD7G5uYnJZIJyuYwPP/wQ+/v7eP/991GpVIROXV5ehqZpQkGGYYhHjx6hXq/j8ePH0DQNy8vLAi7Vo6FqxYypYC6XO7ar8tiCP6sUFDKbuVUQommadBEahiGUZKFQkBzPtm3cuXNH3Hy73UatVoPv+xKvo+jwtMTGxoac++VpwWvXrqFUKkmvF6s8aksPhVGr1SQlO2lP1vb29pQCc12M61RoNsJTOO12GxsbG/j6669RrVbRaDRQLBYxPz8vpMnOzg4ODg4wGAwkPaSATNPE3NwcLMtCp9PBwcEBms3mVApGto+5P+XAkivPJ/+zcawFr6ys4N69e1O1ULoy5rpqakPtWlxcxHvvvYc7d+5ge3sbnuehXq/j5cuX0kX57Nkz9Ho9bG9vS+90v9/HkydP8OTJEzx9+hTlchmffvopFhcXBaxxsdRwtSGBlapKpTJV2Xrd+PLLL3Hjxo2pcuDRniy+z1yURzgdx8Hdu3exsLCAarWKWCyGzc1NbG5uikvnWaQXL16gWq2iWCxiZWUFvu9jdXUV6XQa169fR6VSQalUEgEyjydGUGlfKj+JlFMJ+E9/+pPQhszReAMAUic92skxNzeHmZkZOI4jkB84JDN0XcedO3dQrVYlVeL5W6ZFo9EI165dExTNrslutztV3VLTG03T4HkePM/D1atXhe05yfjHP/6BX//61yiVSpIZqD1YrPcCr47DEuDweCtToiAIsLW1Ja58NBoJem632ygWi3JtAHIYb3FxUdgtXlulh9UmCpI+amflqQT8+PFjbG9vo1gsirugpaidFbxBGB6ees9mszAMQ4oDjM3sU1pYWIDneXIqgLlzFEXIZDJioWyio/s/2kLDzae1rq2tCYXJe55kvHjxAuvr6xIqWIpUyR2VrqSA4/E4isWiAB2GjHK5LOepeCIxFoshn89LFYoATT37zLNNpFx5xEft5CBNSj6flPGpBGxZFr7++mv84he/wGQykcY6tZJBVM04ncvlJBEn8CF57/s+Wq2WlNlIWLA5nrQe+6kZa9VOEioVlYDCHgwGeP78OcrlshD0Jx2e5+Gbb77BzZs3pzwVlZeKQoqW3oE1Z6ZRYRhKvCVrR2XgNUjl8nQGr88YT0VmoUZ1v0yN6KkIJFVLfyMBX7t2TY6FFgoF0V6SAQRdwKEL4Rlf9TPAdBzjiQe6M/URTeSZaans0lRRK9kzbiyFzUNc169flzr0Sbno0WiEtbU1aUwgBUnuHID0VhF7MOdXWT7gFY3bbrfRaDSkdEqFAF71fZOxi8fjKBQK/xftSqPgCQeyhzw8Tq9y6jw4kUhgMBhgZWUFd+/elbZWIji1u0PTNKRSKZkcy1gEAXQt6sNcGOtY01TbUpj6qKGArlBtmQUO3efLly/lWA3R5Unz4KWlJezv7+Ply5e4efOmeBOyZkS9qoLz+oyVVCoWBki+uK6Lg4MDceEsWuRyORSLRREye77Z0Ee3TEvme77vY2NjQw4CAJhC/28k4G+++Qazs7Oo1WrypBfGC1ootZx9zdxUbr5avqNw6dpUIfJ4BjeHvLLK3LCiovLiwGER4+XLl/KdRCIh1znJuHXrFjqdDlZXV1GpVOSME8EOFVntk2KfGGMlBU2Omq6XqZV6wE5tw2EFDXgFWrk3xDYqiGJLUKFQkIN9p64m8SxusVhEtVrFzs4OLl26NMVocWJ8VB+1lFUQ9XOMVRSyCpCONpSpVqoSLPweN5ItL61WC4VCQYRKgHaSQbywvb2Nr7/+Gu++++5UX7eqYHSJPCpKS2ODHoVNQRFoAq8KBkTnNBj1QB7XpBoR5xhFETY2NuQREny21nHjWAHzASvkhNniSqSnojsSDXRFzJ1Vq2Otl7GLg9ZNWlA9HXAUMdMzcPN938eTJ09ks9VDYSd9hMPf/vY3sSbXdRGPx3Hv3j1hzo6mYzwwxvup1sa58zA4aVVVydXKFdGzysxRmOpDZwAIT3D0yM6pW3YmkwkqlQrm5+eFymN982j9lH+jINTHN7C3WD1xoIIutVDAhVI5GINozUSNRKHffvstdnZ2xA1yU6rV6onz4L29PSQSCczNzaHVauHLL79EKpXCjRs3RIhqSZJC4PopDABi2ayIMW5TARiDKWSida6RGYiKMSiLZ8+eodFoTHkqtaL2xgKmm2LXPWMDa6K+74tGq4eagVeF6aPar54CVAv3av+TSv6rHRIscgOHFry1tYWHDx9K4ds0TXlA2OsWrg5ucKVSESyxvb0tJ/hVAVH5eJqBcwcgpzWIEajEFBTnztfEGnT/qhIwW6BCua6Lp0+fiucYjUZiuced4HhtsWE8HssjCqipjMG1Wk2eEcnnSqgaTpdNTVdRL59bQSulVnPDKFR+hyiVJIvv+/jLX/6CarUqOSjZpuFwKI8pPsng5xYWFiSEJBIJ2Ti10kSBMBSREwdeKTAFq8ZiInKCPxXAqRkJv8O/872nT59KczzpYd/3X3vI/fx/XTnj4/yJ72d8nAv4jI9zAZ/xcS7gMz7OBXzGx7mAz/j4P9BzEGAdKvjaAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 37\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 38\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 39\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 41\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 42\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 43\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 44\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 45\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 47\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 48\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 49\n" - ] - }, - { - "data": { - "image/png": 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\n", 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IAty4cQPj8RhHR0cYjUabAWeIEsRgMBBtTlAXj4/YJTFsmeckIRqAspX9NcfTJCamCS8c0BBN00hHqIshGowN0cOHD3Hjxo3NgfM8vGkaDAYDPHnyZK3s6J4yDEPKGQmOxiGx0Yv6nJ5lS7/+xSjiXJ1zgOFwiDAMxTj64cK3336LXq+H9957D/1+H5PJZDPgJAce96Rp+qMKi7VZP6dmXutHSXpqUKoC65OeiwQHQCYu29vbUhp5GkOvW5aF4+NjeJ6Hd955B3t7e/jkk082A05LUzKOx+O1gzz9JiMbD4KgqGENJvmQ4HiLifWeZ+P6vTfKYU5imTaUrnqkUTwdHx8jjmP0er3NLwbQ05xzJ0kiuQ2sD/T0U1PXdddGQZSdbCB4rk5wvBKmn5zyEmEYhvA8T9JBP3ml8SloeIeVlej4+Pgnsb36X0hXbb0CftXWK+BXbV1Z4P8DJ089r/aX3rAAAAAASUVORK5CYII=\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 51\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 52\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 53\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 54\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 55\n" - ] - }, - { - "data": { - "image/png": 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miaGm02lFUaTz83PjK+bzuQ4PDxWG4VJtfdVY7yrD3Sk9C0V0ZbNZBDZtOp3q+vpal5eX6vV62tnZ0fHxsaIo0hdffKFsNqv9/X1jyohSKCnJeqlUMigFw7izs6Nnz57p+fPnmkwmur6+1jvvvKN3331Xz549M2N+8OCBsa1EeZR73cALE7nJKel0wSmNRiM9ffpUzWZTH330kZrNpr7zne/o4OBAtVrNFI4yDrkoUapYLCoejxv8j8ViKhQKFoHH47GePXtmzGO73dZ3vvMdU/RGo6Hd3V0jTJjzpvncas2XqJJOp3V9fa12u21M9sXFhTqdjvb29mx9S6WS5WXT6dS4hWazqfF4bHA/FouZrIVCwQi/TqejSqWiwWCgFy9eWN5frVa1v7+vy8tL5XI5TadTHR8fm8PwBrdu4LBZX9YV9NXr9dTv9y11mM1mevLkid555x0VCgX93u/9njqdjl6+fKlSqaRMJmOf45ttyNf39/fVaDRUKpXUarU0n89tDTqdjq6urnRycqLT01NVq1W1223rYoKY84Tfb90UAazJZrPmZaCqgUexWEwnJzdPDtjZ2VEymdRHH32kR48eGUGEpzs+PtbV1ZVheqIUXnB3d1f37983IiCKIt27d0/T6VRXV1e6uLhQGIY6OTnRvXv39OzZM11dXRmRlMvlFEWROp3OUqvbukGeBflCwu+7jLrdruVYnU5Hn332mR48eKAPPvhADx48MNLi6OhIBwcH1sFCLk13Cozw4eGhrq6ulE6ndXFxYcjg+fPn+uKLL7S3t6dUKqWHDx/q9PRU5+fnKpfLpgzUBmHmNx2+nQ7yBAclySJdq9VSs9nUZDLR7u6ujo+PVSgU9PjxY+VyOeVyOevUIa8DZks3Bf9qtap4PK5SqWTI6+joSIvFQrVaTbVaTYVCQQ8fPtT+/r7Ozs40GAy0u7urKIqs1Ofnt24QyZljNps1Zpsaa6VSUbFYNLQymUxUrVb14YcfKp1OG6RPJpNWcQBRwoSDEj788EPbx9lsplwup3Q6bY0Vw+FQT58+NfRxeXmpx48f6/j42L4Hp+vLVN801hprNpu1kguwlpyx3W4bUbCzs6PxeKxcLqejoyPz3Ht7ewrDUNKNFysUClbz8o3ORMN33nlHv/nNb5aodrxso9FQNpvV3t6eRqORPvjgA11eXlqkKRQKWiwWajab9vmbDBSDP8BfFh8DqVaryufz5pUfPnyod99912BfpVKxBpFqtarFYmGRAkYRJ4LjGo1GOjw8tDng3Obzud599137rE6nI0mW9yaTScvju93NbsAkwqPA5GL0rJJX7u7uWt6JnCcnJ5rP5yoUbq7GJc0giuFcqb9mMhkdHx9rNBopmUxqb2/PYN/9+/eVSCTUarWsUygIAnPwxWLRiEeaNbyu3DWo02YyGRUKBeXzeeXzeUNzV1dXlsbs7+/r/v37JvPOzo56vZ4qlYqq1arpOKkVdVGfEubzeT18+FC/+c1vFIahoYh8Pq8HDx4YItvf31csFlO5XNbh4eHXGkB8+vOqcaex+oI/lD24fzQa6fnz51YTRIEgCVqtlhKJhA4PDy0KA4PS6bSVeoDDfG6xWDSipVgsWjvj/fv3tb+/b0oPfHv06JFBaaJMFN0cAEDBNxl4UQyWqL+3t6erqyvzqhhWMpk0trnX66lUKpmCQSCx4eSF/vABZMbZ2Zl2dnas2+t73/ue3nvvPSv/4ODee+89jUajpdMi19fXCoLAkMq6Qe8ueTaIiUaIdrttjPve3p6lPhjTZDLR4eGhlWj6/b729vaW2j5hcOPxuEUOIDKpQRAEunfvnsrl8lI3V7FY1O7ursFIapo0j2wCg30rJvqYz+fNyDKZjF6+fGl5eKFQsPcSvX3E29nZUSaTsZLPajUgCAIVCgXrEfddao8ePTLUhUOLx+M6ODhYqsuDkmaz2Z08y53GSj5KKcQ3CEC5k4Ni2MBJvBGbEUWRisXiEjs3m83UarW0t7dnnp6NoZHa94z6NjsaBWBZIWh8dwoU/bqBogFTIRxQvmq1qsvLS8tZkJEFTiQSFo2QAY+JF4b+z+fzRg7RDM5aQviUSqWl1sMoilQqlXR4eGiO0yvLph1M7BMGm8/ntbe3Z47y8vLSUgiOfbG2RCOOmw2HQ2WzWeviIVU4Ojq6UayvGFz2n8/xOkT3FHJnMhljX31bK3u0yfB9Aeih51yOjo6UzWaX2ldBcRCqpEXSbfllMBgsVQCAxjgan57wOiw6eTeOhMMBngjzDv1VYyNjJUFHWflA2gg9Xb5ap6T/FChI1wjRFljNJvH7o9FI1WrVYCTC+DwLA/VKALkzn8/VbDY32mBfRMfjYajkzeVyeQmO+fIKm7qa504mEyvJQDYRYXxDCUz4bDZTPp83NEHPLkZD5MZAfeljk4Eio0SgIa9sEEgYG1EOmXFInFahsQDyZjgcKgzDpSZ99q1cLtv+sr6sP/qEDlCS8hF7k9INMqK35JygNYICBszPCTYw2ug/jLdfb5p0pNuON3QoDEOLxKxzOp22Wi+yUenAAUi3/dSvGncaKwJTT6Kwj9EyUD6MxLO8mUxGo9FIzWbTygIYhu+vZKOgsnnf/v6+UebQ4P7IlqQlGIMxEck2GTC/w+HQ5uzre5AWyOcbJJCfflq/Xr5VDpKErisG61WtVi0lwHh5zRsLZQG6qvjMTYbPtTAQPpsSEemEpCXHA2rCuCk7gXRwpsB5X/uWZARbuVw2IwASe6cr3aZfrAfRF8Szbi8pFQ6Hw6W9Y/7oK2uKnDhF9EeSra+v+2LA0vKFAXAIpVLJECT77Z07UdfXztnD35oNpg5GeEdIH+LZTDaZL/OnL7ynYwM81BkMBrZQyWRS+XxetVrNImq5XLYo5SMbiubbDaHDyYc3GcwLWX23kYf2HlmsQh8IGhaeujIb6dsyPV1PzplKpaw04plLFNdvJI4CY90UIlLbo2GDNfedNDg+/3/SCuRmH3znGq1yvhaZSCQUhqHa7faSQhJ9uPkCQ/a96BioRzObNLpgJPSGw1uQZ/sSHfVSnyeSm4MGaXIBdYEU0RVJpjO+j5qaOnvLe31U5ztYy1QqZQTeN407jZWJ+lM1FPrZZH+MzHds+LY2XvPK6zue/MmbbDar+/fvq9VqGQz3h4GBQwjru3GAHoVCQd1ud+OSBsaKs/FkBNHTQ31KA/zc95Air+8I8rkJ3hdZwzC036POTJcXioy8RHlk9bcObDJgZmn/xNvTpMHeAc1BCxgREd3L6NsQ/SF8+mg9YmCuyO+viyG1YR7+6h50AIW/axDJQDcYBvVeT1zhDFlLvh+dkm5P8eCYqSX7DjPKVL1ezxwCf6iirB4KgIn3qWYul7sTPaw1Vs5wEgFpRyMXoOaEYpGPsiFEEN83DNGSzWatFuY3sFqtqlwum8KiPMAlvJ+H1EBZ4IUvNK8bNJuTl7DBlDRisZhttO99Bj14ZeY90i0pQikDx8RGFgoF7e/v6+XLl0uyoFDkrLwmyebl4fSmJSoiO4cqmOdisbD8iXWDNyD6IN+qIsPK04lG2yAylMtlOxqHYnpF57OIyqytN1QONmzifFkb0iD/exCWkqxy4Ocg3R4QxwHjZCBZqRaQDgZBoDAMtbu7a0gBB8ZeohfsL8jSR1Xq2Xf1QN9prCTTRFIEB8J6aMCmr7K2/nNgDdlw8gQYXd+ulcvl1O/3jXX00BcojhNgQVko2hY3HeQ3wEJ+1+fW0vItEMApNtbT+cjnb9HAKfn2QEoktVrN8huMgwhEFGM9fW8tc9i0+QPF6Pf75iBXD6DDZHuYLmkpnyTC+qhOJF294sYz9XAWlPc8ucPAQEgliMqkGesGRu+b76Xb+7NIY/y6eSjO2na7XbVaLctX0QNfcsEoCVqgFsqZPm/Hofrea59bUxW4S8a1zZZAYdhKNhflYaG9gvroNplM1Gg0dHV1ZW1avgHeHxBnQcmZWEQIK6+0vvEZQ8Uz9/t91Wq1tRvLWCwW5pRgQn0ZCRjKe4H+vJf8nWNY/gC+N3jOtPrNB12sdgARoVFqfwLKtwl6kmfdoDzkG+c9vPc5OHOHefbRgFM0OFDWnjwdY/D5IfNmrzAM74RwBEBi9h9d2aRuTr7b6/VUKBQMHXiEBiryJ8OkW16h2+2qXq9rPB4b2YjBod/Sbbrny2jdbtd6uvkd3oOuIp+/WQK9v4ssXHv4HOiEgB52oqhsmMf8bMp4PFaj0VC/3/9aw36n07FCMHVKTypwAJ2alIdgeHW+i4XgbCGdQJsMCCo6s7yzWXVGvvTAGqAMnNmERMrlcmZMeFEMYzUqIjPs7zfl+b6MEUU3Rwoxmk2G7wYaDAbGAWBInpHnOzFi9nkwGKjRaGgymahQKFgDe6fTMWJlZ2fH5oTcrBVsMQPFZx4QRF5/oijS1dWVzs7O1sqYSCQMQhNZqXP6mxp9NUG6hb1cacs5X+94yIH5TH93FXsXRZE1QfjrijBsdADIPB6PjWBFf18p2yabC0TD8mk79F5Fuo12q0bebDYt96Aeen19bREbQyF61+t11Wo1Y3TJQVYjDcpMvjmZTFSr1dRqtTaONsyb6OC9n2d98fjS8pWkzGEwGKjZbFo/MIbI3GhVA/bjfPj84XCoXq+31OvL93pjBRYPh0Nrht/kNIpt+FfdMkAvShsYMTL6uqSfD1HVdy21Wi2dn5+rVCoZ/IT8Ojs709XVlXEZ5K1+IBfr4Q/Y83N6kNcN6tE+70Vn0RmcKMYKguCEFc3+1P6D4Oa6ItAXDphuu3a7rVarZXc2AYN9/s86gsj8aTTkuri4uLOR585dBrJKMq/i8xyEhITxkAZYFIvF7F4hJlar1azzKZVK6fr6Ws1mU3t7e5pMJjo7O9OTJ0+MHfNJOx4QZ8FmYNicncTQNhmc2McbeziOchFxUDp/DQoOBY9cLBaNQedkCp1Jo9HITs5w9I/ciJ5SShXeSTA/f31OvV5fYmvXjW63q3K5bIaEUhFBcFb5fN4QAI4MdMBZ1tFoZMTR+fm5ut2uCoWCLi8v1Ww2rQXv6dOndgBjf3/fkIuPat4o2VeM1r9nk0F0p6zleRBJS2y0H8hFGYryDwfLCS60RHa7Xe3u7kqSms2mvvzySzsu6NtfMVrvjNhHnCbIgRLXq8baa11IyjEQjggR4fhD4k5HBoaaTqdVKpVUq9V0cXGhy8tLnZ+fW9OAb9HiEO8vfvELPX36VB9++KGOjo6WohqQE9iBMbEAvjS0KTxEeSXZ5lJTBa76tjTWgZwbL02+g5K12227ASIej1tDfrPZVBiGFh1fvnxpfbL07xK5fTnIl21YP9Zuk9FqtewQBWgGpwJaIufEAeMw8P7sc6vVUrfb1fPnz1Wr1aykh0LSGPD06VO9ePHCvle6PY8r3aYXHtEgo2fIfWnwrgGbj3HCmrOurCPsLnpOLblQKNj3f/nll2o0GnaAngj57rvvSrrpCU8kEnr+/Lk+++wzRVGkk5MTayklpWEe6CYRH2cyn883utxvLRu8yngCSTFQ37nk4RKRKZFI6ODgQMPhUL/+9a/t1E0mk1G327XzofF43C7Skm4OApfL5SUFgCBgHh7qACs2jaZ+YJAweL6oj9ESPf2xLaI5ZYpisaizszODp5eXl7bJk8lE9+/fl3RT78zn82q32/rZz36mfr+v733ve7bBnvL3RurzOL73dUpUyOAvJ4OLQJlXGxSYC6gmFoupWq1aJKpWq6pWq4rFYnYGNpVKmYyHh4fK5/NKJBLa2dlZKol4HsA3lGC4dDj56sEmw7e5Ajt9+csTTcDUWOzm4Ag3PJDCDIdDVSoVO54IVOUMbzKZVL1eN0OmkuE7v7wzkm475jzTz/re5ZDWJjsIQzRFeOmWzvfEBAvA+6Wb41QfffSRyuWy3W9DhMrlcrbJ5XJ5qWHdt/B5GOPzGozU13m9195keEUgchMtkZ9mC0gLnIRv/C4Wi3r06JFF293dXR0cHGg+n+vly5d2WyMsIxeIlctlVavVJQNiLqu5F39Y500VWJLVWDEerzSz2cz2BfTEPFBmnHK5XFYYhqpWq2o2m7bmu7u7qtVqpi9AbvJI7+R8NxaKDDIC6hMIUOpN7mHyJSM+g88nZ/X6ypzgEnw77ccff6xyuazr62sr17148UJXV1d23WilUtE777yj4+Njqzf7G/h9044nJgk+vCbpH2eseFLf2+iTZCIBi0S+4RungVCLxcI2z7cexmIxKzJzARcsG4qI0sCYscGr3tj3cG7avcSieqX3TRH9ft8iJ4rnnZK/dyoWu7k54JNPPtHl5aU18Us3t2CcnZ0tlUEODw/14MEDhWFoOR7fj8cFRUDWedbY79Omg1ZGLqnzDDcGxJoik095WK94PK69vT0VCgXbi3w+b/CXK2jpFvJzxKnSrL+6p9JtKYf67KaOifOofCd7y7oRRHC0qykOPEwU3Rx04BAHOlYoFFQulzUYDOzfkKaSDE2yLz4dQ04cLnvoibO7ZFwLg4GCs9nM4BMfyM+kW4/m6XE8BzQ1G4dQRE5awfg5EALPx/9RKu+RPAGCIfgC/qYDZfBtaHyH73OOx+NLnVpARNYDtvHw8HCpqI/cs9nMohKHlSUtGQqf65szvEL7jX4deBiPx+0qUKIrygk0ZI7sveciVvNKFJ0uHppnyHt9Nxj757uuPJu/2i+Lkk+nU2ua32Q/O52OSqWS7YkPJh4KM4i0nhleLG6ftUTbJXrJevjmDtCYr1BIX79PyesrkRrb8tWFV407jbXb7VrfLkJ7KMKiYlg00PtJQIZIt5Gag95gfhru2VQW1jsLNg6YCIzznphI/bp5K5GChfYdLn7xUCiaGXyNlblALkFyAB35ma/T+b5q3/iBASIPc2SNQCq+/XGTQXtgq9VSpVKxUhwyMQ8ijUcpvukFBwT8T6fT2tnZWapP+5zUw1FkgIhk7+AL2Hd0jdNaq22BrxrtdttYZxwDzo/5+8gn3T6zyBN28/ltDzr7xpzDMPxaLu0bI1hPjN47Qe94gfikBevkW9sbTI7jGxb8uUO/MTQXcEkYC8GCkQt5uOR7OKk1okCe9WUwD79YfC9wyRvVJoPHOXjYB+GE8vgNIB/yG0N/sc+DyIVwcD6V8EjBf5b3zERW/3kgFR9RXwcGLxYLa+SvVCpL68nrNIfgeD0xQlT3bXf+Ohy6pCjw0wSBU8KBs5femeEsWH/phsH2nV3rBjrkn9jg6/M+dZJuzzL7yO+76PzhAeTr9/sWXT3JuFo7x16IyKAiOABKe6sI9VXjTmNNJm+u989kMksfhmFiUN6Qx+OxFZbJR8lTyf+Irv4kRSwWs75Kn0tMJhM1m02Dlyi/zwfodPIQWNocBtNBQn3OL5g/EYJTwrGwFmwQm+I9MacouGgNb01TAkaC14cLYONXPS5EEIP3bDI8B0Cdb1VJkJN5gHJo/qfkAeML2eVvCKFHlicscKeSdGOQNK34n4NQmAOK3Gq1TL5N9tOTcNxAiLHiFHCQrImv11NKpEEHVAApiINCP2mW4Pe8oXpYT5cf30tUBW5vgo7uNNbd3V09f/7cDA/BPVTwngkoyrWkGEEmk9FgMFC9XrfEHUa1UCiY0LC+lUrFHs8AfQ4JBbwkihFpWq3WUi69aY1VktW5fHMHUcx/zmoLnX8EA5eV+3yXbhYIJOAlbDFRGqfH2nHZF3CbBn+iIo4CNLApDPZyJRKJJce4Wnoj6qPk3W5Xp6endu5yOp1aA4Qku0cKcuf6+tqiIjf78QwgmPPV3M7D5MXitsuN1zfdU9ABZapVFPZNcBwk4Ek+br6AP8AB0P6Kw6WFliN0MNo4ZgyX7wXBkVJ4Z/tb56ycFAFW8EXkF3TBcPshkS2TyWh3d1fNZlP1et1KBnTqwPjyoKvRaKTz83NdX18bo3r//n2Vy2UdHx/r5OTEjjchKHlTFEVqNpsGt3yetSk8zGQyJiO5qm+MIF/GqKIosscscEMhh8cxVn/Ei3XkOTg0/LPJKBCnkjDg1aOG0+nU+qm/iaVdNzwzms/nLVpygMGXjnxNW7opvx0cHOjy8lKNRkOLxUKXl5e6uLhQFN104EwmE9MT4F0ikVh68BQnjbjiBRmA10TB4XBoF9Wt5u13DbgTEAhr6b+HS7chdkA67XZbtVrNrmCt1+uGhjjz6zvGaMCPoshu+fePBeHiNT83LwcBynMjvzUbvFjc3I7+8uVLixDkcOQvKF8YhiqVSgYHptOpWq2W6vW6RYPvfve7ZpyrpQhuzeN2fSa9u7urSqViLYF4ebw+Tfur0Ph1ctYwDJcgODmTb7fDWPGWYRjq3r171lp4fX1tNyj4lADiwntsIixwi/zv4OBA1Wp1qUyBUiE3J098NH0dgskTPsViUa1Wy9YOpQFG0rzCXU0nJyd2WGEwGOiDDz5Qu922FIScjJIWZ1yBjrFYbElPcFJ8n3eyOJLXQUisF7Vv74D9enII37Ph6XTanr90enqqZrOpWCymVqulWq1mjQ+SDNlRmpvP5zo5OVEQBHZDBTrsuQ5vkJPJZOkU0SaOd21TRKFQWLqmEs/rPXCz2bTrMWDhgLmc+4MiLxaLlq/6gwHS7blXDipDXPg8FAgJPLu6urL8CqH935sM5k3DAw0beE2MlUvcyNlIB5hzt9s1aEQO5j33YDBQuVw2hh2IT8MF8B8l5gwweU+9XrfPljY3Uj8867uzs2OPzCDaIHun0zFjxeAg2vr9vqEObt6nGQCGHwfAIQYOglCu89AXGVFq8kOiP+/bdOAUarWaXXTgc1N6ojEqLsjz1wpdX19rPp/rvffeU6PRsMdxwitEUaT33nvPrnTl0vB4PK6dnR27Kxsiy7P8kqwDCoQkrS/Dre0NDoJAxWLRcleiDsrKZWhAPd+8HASBEStsCAJQmIdZnc/ndrxtNpsZjPAPSebmCiKVP40j3ZItr1NfRc5yuWwIgsPfeHtyi8vLSyWTSVUqFXu0Agq+Wp6Zz+fWwuYfjcjhgHa7bQ6BzfYnblByNplDAgxk5nM3GR6+EV3CMLTHVqBsiURCnU5HnU7H7hHi95lvo9Gwn+FMEomEPfcH59ZqtTSbzawNjwgLYuEcL06RZvlut6vvf//7ajabevbs2cZ3TRGdwjBUp9Ox0zOeS/C5IvJ6PfTnrnd3d+3CduSFLYcc40l7/g5tdMLzO/z+YDCwC9RBMyDCf1RklWTJMyQOXpUoRJ8o3tTfhkA0BRYDBzudzlI+wmJAj3tCic0nxyWHrNfr+oM/+AM9efLE6nFsGJ50k7HKYvqWM98UwikTLlTzjQl4ZU/dLxYLe9K3N2LKFygG9/oAyxaLhT3qHpjVaDSWTmS8bi0ZOfv9vj2mQrq50JrHbFJvDsPQCCL2AAgoyfJvHhZG6Yx19DVhjAEkxXouFredWZSrIGsqlYp+/vOfK5fL6Y/+6I+0v7+ver2ui4uLtTKSXhHteb4vASaVShnEJuAQ/SAtPeFHqyNkH2U4/6QFf5MlXVm+w8+X/qSbWvA31Y7/UZGVSQINzs/P7bXFYmHQB7jGoVvYRgyGkzcwbHR6IAiGgRGwKL47CBjJQoRhqH/4h3/QD37wA+3v7+vJkyeWW/gG8E0GSsXjEvyjKvC+QDwep+DzHem2edwz2KwhjgkDo47nL4xDXmQFavI5xWJx6SnZvuNn0zEej3VxcaF2u71EAJXLZZ2fn5ss/vEcEGG+9klJKggCS1nYFxQfmTy5hKKzN6vljfn85krWRCJhT0n//d//fR0dHenw8FDvv//+Whm56ADSp9VqqdVqGdzkXCs5J46G70fnYYdXHT/oCH4C/gX98ahqtU/Aoy8eq+Fr3OsCzFqCiQ+gz5MyDmEbTwKWZwGIxvZFX7GC0m0tDNLGn8YnmnnCiJwP70vkffr0qU5PT/WHf/iHSqfTev/99/XixQt98cUX9miJTQYRpVQq2QFyFo+yDPAVeAqBgEGzQel02vpFgUfU2PCkKDFy0mEDZPIlgcnk5sl5P/zhD1WpVHR6emq36Pl92mT40yI0y8NIJ5NJq2mikDC0yL36lAXq0vQbE5EwCpATzsm3gWIYoKbhcGgpw2Qy0YsXLyxyVSoVY3HXjVqtttThlclkVKvVbO1p8cSISAc8IQQBl0wmrcHHIxnvdBh+bgQZ0BNyzue3d0l9+OGHuri4UL1eN8S0bh/XNvLjWSATgLyePYSAYWJsHAqIEvM3Htifn+S7/C0L/A1cAjKVy2W1Wi29fPlSn3/+ub7//e/b0aZSqaRqtapf//rXevny5drNlW4PCpBj0uGDh8Uo+T+lqEQiYbc+EGn9qRWcgDdY2vhYXwyW14nKKEcul9Pf/d3f6Yc//KE+/vhjK4k9f/58iaTYZHgjx1Gyj5VKRRcXF/ZYSW9ERCN/Ego5fSnPIyWUl7VgfXG+8A7+JBD5br1e15dffqkgCHR2dmYk1iZyck4XQisMQ7v+hhTO36vkEZg/bRQEwRJJ5BtJ4DVopKGXwFcRMFCCGndCVSoV/e3f/q0+/vhjHR0d6enTp5ZyoN+vGmsfTOWNKAxDFYtFe5YnguJp/el4DnQDb3m8u7R8ETPeG2/ua5psKgs0m82MafvpT3+qq6srnZ6eWtME33d0dGQPXN5k+PY/mOFut2vKRYmFsgY90EQbmEWckz+sABTyJ5L4XOT1tVTfe8vxrC+++EJnZ2f6+OOPrQZ9dHSkx48f68svv9zouhM+f7Wk5SNQsVi0p7FTV+SAtG+9AzlxxxCQnPd69n+VUfeGCkohuqNrT58+VbvdVrlcttepLqwbvmkHRxKGoV1Hg9NlDTyq8zJyf3MQ3D4CFOaY7+B3yIV984aHvgQDbpG4vLzU559/rj/5kz/RycmJPVHw2bNnv/21LigX0W86nRrd3ev1bOEhW7jVDaXFoxJVUXgEkmR1S/o/vylKc2Mcj++bz+f67LPPNB6PdX19bQ9wxrDT6bRdubHJgL3GcMIwNGfiSTBgI216XJpF2YPIw1U0bBqeHg/9TY3d/E3+j/H8/d//vc7Pz3V2dqZPPvnEfrdYLOoHP/iBqtWqPv/8843k9Ibq2U32IZfL2Q36k8nESidECxTTKzrOB1RB7s56AAc9vOR6GBhRGiRwCr/61a9MTzAYUMq6wR7C/kqy/mUeugWxh356uA7SoclhZ2fHSCRSB+n2lNRd9VEqCuPx2FIjHrD8k5/8RD/60Y+s5rqzs6P79+/rl7/85StlW8sG+xonTxEDlpLI07mDh/dN0dw1RG6Ap8UQUCAWkQhKTjEcDtVoNJTL5ez5q7VaTY8fP7banyc1+H5Y6E2HJ1e4q3gwGKjdbi9F/ng8rna7bcrL3z5/Jdr635FuSSiUYzAYmBHTmsjVNrTj/fznP1ev19OzZ8+sDEFXVCwW08OHDzeWk2hHTy9zQuFYY9o3Vw8Y+PKC31OcHUy9fz8OFMfL78Juc5MEZY9Op6Nf/epXS9CZ6Ofz9Lv20R/+lmQdSP1+3+qnQGsMlL5e5p5KpazmzZzb7bYxvwQwX7v1vd7wN4PBQMVi0RzSixcvlngDdEK6ieZ//Md//ErZ1j6YigjCJDgkjVFRC6xUKkokEtZ0T2SBCVy9HR3G1jczQFSRGxI5U6mUdnZ2DBqfnp6q0WgszctDD9rNNs3lfLcSCADozckRSXaKQ5Kur69tg5ELIoZoBKQHFiI79WmMBqgES8v5XnLTdDptjwOBPcah8KiQTQZKyNxms9kSfJvPbw5Xk57gOHCSwGjSDb92QRBYrrfKavpe3NFoZIbKmV64DEl6/PixMe6wzry2KZHm81HWG6ae2q+XGVl4n2979Mcg4SFWGV7fRogedDoddbtdhWFoTRnj8Vinp6cWca+urnTv3j1bO45UvmqsNVbgDeUKIqmHdXSocN0HRXc6c8jNgLneMMiLMVy8J+cuF4uF9vb2bKEGg4F+8YtfWOuffwK3P3616UkU3otsNHIQEfwtDbCJsVhM3W73a8bqSxzIg3Kvdlh5gg0EgQGinM+fP1e73TZSzpdqfPTY5Olq0q1i4uRoTPek12w2W3r+DsTH6m2SECpeLp8v+j5ulHE6nVoX0O7u7pLzC4JAnU5Hn376qa2h768lVVg3kAMU4deLte31emq1WkuEGHqJPEB1dJc7qlZLZr4LDWfGzZP0yLOuo9HI7j4G4XiERrPFq0bwut0+27Ed2/HtjNfrkt6O7diOb21sjXU7tuMtGVtj3Y7teEvG1li3YzvekrE11u3YjrdkbI11O7bjLRn/DxS1NGGL2YaSAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 56\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 57\n" - ] - }, - { - "data": { - "image/png": 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QlqWg0SzLJFfrXZqbFkkVCo71Lhc9WjcutvGutkZJ1Ojcvd4qZZlIxo8s2Vf12vWcTkOiMbPiuLOCSbvpFkWF0LMB7FkUedOiKBDHMcqyFE8gsmVpkOc54jhGkiTYbrcYDAZSKsVxLEwaPUo3NIasNE2FiNebAHrovo2C9U4Q22+bzUb2oBsAQzqp17qusV6vkSSJGJsOBPlc13UFCa9WK5GJvk/+Lo2EHto0jVQH6/VaJm2YNu+kYAKpsiwlVPGDL0zBMAeRr2WdR6L9/PxcBDEYDBBFkXRTZrOZGIzruijLEsvlErvdTjhYoniGR3o6QRpfn4J/nYkOpgLTNOF5niiURqsPy+n1O8FWURS4vLxEHMdwXVf6ufxdNurZJmUZRABJo2c3i+nvamTgXqlcfvB5r61gfWqSCZ7WoguPbbs0TQXm0wsuLi6wWCzw+eefI45jPH78GGEYIooiLJdLUXSn08Hl5SWOj49hWRZ834fv+4jjWBAtSzAOpTEKMB0URSGh7HWYLOZxvaYmkGRdTyyg4ws2X9brNeI4lnpVxy56Y962bakudGJouVyK0+j1PadeCM6yLBPWjmCO1cmdFNw0jRAO9MputyshWm/6U9imaUqt63kefvnLX+IXv/gFzs/PsVqtMJ1OEYahCIrCAYAoipDnOU5OTuTZpDUZlogu9QMyldCDGZ5fp0yikbDBztfUPZrRiHU5Sxl64OHhoeRqPV/qI7GbzUaiDgDh8MfjsZyn2+3KVAmdh6GZuIOKbppGSJXXVnCWZZJDmNs2m42085j8CWwMw8DBwYGEc5LqX375Jeq6lr4lwQG5Zk4yBkGAyWSCXq8nvVXWpQyLnH7QwzT3wfShDyHcZumDByyLSIuysc5owMmOpmng+z56vZ4MOwCQ1uZisUCe5/B9X0L7arXC+fk5PvvsM1xcXIjHkrr0fR91XWO1WqGuaxkg2O12AiB1jEPZs/Z/bQUXRSEhg0u/YUC+lCiUzW3WamRrPv74Y/FOWmIcx1iv1wiCQMIqbylwXos9WH02jIfi59yDDnxo5ezJ3rQYTukhbdsK905wRRKGXtPv9xGGITqdDnq9Hqqqws9+9jNRbJ7nCMMQcRzjww8/RFmWOD09xW9+8xt8+umn2Gw2OD4+xuPHj/HRRx/J/nu9HpRSmM/nSJJEyBRGKUYy0rD/r7loehpRtM4c0aKZD9htoUXpM8tt2yIIAmnOp2kKy7LQ6/UELTIVtG2LJEkAvESgtGa+vmEYWK/Xe0QCSzYqnbX3bRZre7JpcRyLcROD0HMBCC9smqYY5qNHjyQNnZ+fS497Op3i/fffR9u2cu2Ekx6TyQSj0UgG7Xhm5memDQ4hsgTVpzr5/TspWC9V6MVsh1EopCodx9m7U8PP6Z06Q0QlcGjOsixRLgA5cJZl8vpVVQkIotHwWQzZev6lx91mZVkGz/PkeZzy1IEVU4He1UrTVAiPbreL733ve/B9H8+ePcN0OsXFxQXOz8+RJIkwfe+99570hA3DQJqmUhdTnqQwyXXr8226wel5/k4KZnhcrVZommZvA6TZiPT0UR3mFApqsVhILnNdF4vFQop8Tk5wvJSECFEj8OKOFEM5owk/eFCGfuIEfdb6pkXgwxUEgQzxMWIAkNanUko8lMwVvSgIAjx58gTHx8eYTqfigWzzBUGA1WolfDUrFNu2MRgMpBRk65IyJ/vHsSjKmzzAnRTMOzncCC2HVCW9Lo5jqfmqqhLkxwG2NE2lxPI8D0mSIMsyURob3r1eD/1+X3I4SY/tdouDgwPxKobHq02AqqoQRZF48m2nKsuyRBRFUhqxHufrMToxalCpLAVJsJAfp2J830ee54iiCFVVod/v712/YV5ltUBKmBOoTH2UNQmgJElgWZYQK3cO0SwJWBYwFHIIjEX+crmUtl8cx3u8NHMyPXQwGKDT6SBNU2km1HUts12r1UpC8Gg0ErTM53EWieVSnufiQczfDKe35aLZ7vQ8D/1+X4TMpjrJCs6EMeWwcaITPAzp7L4RcXNwgKCNs1T8moCKjvXOO+9IBBqPx5IWydhVVYX5fC6l4Z0UzPqU80Uk5QliWB9nWYYoimRch71iToSQLyXjxB4xrz0WRbFXhgAvwiEjQ6fTkV7seDyWkoh7YgnHWW3Wk7e9upIkieyLnHccxzImw8EGCrgsS+x2OywWCwDAcrkUDEAwenBwAMdxcHZ2JmfiiC0jCwEaoxgBJVOj3nLU6cmmabBcLlFVlZRUd1IwGRbLssTKfd+Xni0Pzxp4MplgOBxiPB7LxjjCwyF6zj0fHh6ibV/c2xkOhxIOiRI5+UDhkSSg8PlsAkF6v05ZXlc+6Is1bJ7ncBwHURRJiGYOpuHoA/mMJGdnZ5InSU5Q2YvFQrAHS0PSsWyhEs8w3HLWyrIsLJdLSQvENMy75KavW9cqeLPZyMMByCbZztN5VdM0cXh4iH6/j8lkgiAIBATR23kFleiPuYg1q34dg9ONnU4Hi8UCVVXh+PgYhmEISGGzgqEwSRLhwPXS46a1XC5lSJAGRRBDUKnX6lfnyjzPQ5qmEqb14TgOq/d6vb1rK+zGNU0joI5GzpshYRgKPUmyhdd7aMSsSO6kYB6GgEXnRYGXkxtknRjqer2ejPeQ7aESeQhaMSPEYDAQT9UVfDWcDwYDpGkqytRnkui9wH7Yv2mRdmVONE0Ty+VSbjPsdjsMh8O90VoiXc/zRGmUE0M9FcEbCFRQEAQ4PDyU7lsYhuI8fDsKUpy8QgO8yMVZlu2ND9Ho7qRgFuWs0+hxOqAJggBRFElYGwwGEt6Al2+/QE/gvyyH2CUioPjtb3+7V3vHcSxoO89zGQygAB3H2RtzoUXTi26zbNsWsMYalwNwTEssywBI/uc1E6J9vdxiuUR5seyiFwMvwNTBwYFgFjJpjuNIZcALaBzKozMRZ3Aw4U4KZq3KckTvrDAU0jspqF6vB8uyhJbkFKB+W4+K5rM4H0zedjabyTQn8ILo5/wwvZchncamt+iA298NBl5OVrAkpKGwnib40a/acEabSJ9za57nCU/MKEBugOCQpA1DM0N9lmVYLpd7zYovv/xSjJdOxsiVZRmGw+HdFWzbthTppmmKwskwDQYDmTDsdrvCIRNp63QaeVTSjWSl2PpL0xRhGAoNybxFYXOgnbmRiudNQNKhzPtN00gkuGnpOY7lFQ2EXklky1RE2tXzPBwdHUljwPd9aRcyRPN5RVEgDENppjiOI3iBgImNGxoeKU7eLARetmoZCe98N4mtQAAyWEfgwxqWnqlPN/L+EnugrPU4XMdnU9kM40SZROcUjt4aJFVJVA28fFcA1s/Mo9c1wvVFzp2phIQHmxec+3706JHMZ/NcBICj0Qi9Xm8vLTBCkSAh8Ov3+yJXtg5ZS1/FKIwoNHyWTo7jyA2T6wz5RqKDdaZO17Fgp6AZvjh2Crzs0HA5jiMcK5XEMkG/cMa6ml7P51MRbP6zRteNhXmQYOe2OZgpBHjJodNQ9BEdMkg0bBo570vzzhUH9+m1jH6MDlmWSQ1v2zam06lceteNwTAMwTb8W33ShITTnW/469N8zEOu6woFN5/PZQqDQIQom97H6cmiKGSslpFBz836WzfotR0jx2q1AvDC4ieTidTZOk1HAMcG/G1DNCdXiITpRYwC/Hy9XmM0GskUBcEcqUx+Xx86pPEyjdm2jdlshiAI4DiOhN40TSUSRlGEbrcrMiI+sG0by+VSGDS2UO88dMeGP+teKlsfBON9WlqqLiDmXSLDw8NDGR4oyxIHBwdYLpcAIOAEgFg80fJkMtkbOCNI08O4PgSug5nbLO6RtSjDM8M2cQXfRoETLb1eby9nEndQqdwfcQobDrzJwWhFnoApjcbDEE3Aadu2/A4jCHD9PPiNCuZla7I1zCN6GaRPRBDgAJCeZhRFUr/yuSy9yF2z4U4hsY4lyKNxkcdmjc7wzcMzeugEzU2LJAZbhrytQCWQdWIqYitPv7nPkVgOP/CGJfdB5ZKp2+12Mv1BYyBpQ88kecJRIHaYmIII1u48k7Xb7fDJJ5/Asqy9thTJdoZuHpREB8Oy/vaApB4J/1m0U7g6McEBNobY5XKJoigQRdEeX0sF6jcPiFxfJwczxBIbkGWbTCby/hllWUrIZjTKskyQPPeiD+8xBZEYYdhmk6TX62G1WqEsS7iui/l8LvvhfBgVTz4CgJAjNOo7M1mj0QjvvvsuFosFPM/buwXIOpd1LzcPQLzz4uJCQBovV9Fa+R4bvMJCQqGu6723YsiyTG5UUMh8LaJvjtDQ69jOu62CDw4OMJvNpCzhMAJLPH00OIoieV8MpgLme6Jc/ZzEIfROXjWdTqd48uSJtCaTJJEGy9HRkTiR7/tiYEw7NDQi+esYu2sV/O1vfxthGEoNyP4jQxm9Vf+XgIL5V29qW5aFOI7Fm/WbESyPWIZRKAQ3fC7DJdEkwQbfqkhnsq4LXfoi6RBFkeyzaRrpGun3lGg0y+VSzstzkAiqqkoYOD3Sua4rDRzTNOUdckejkbzxK1uLHKRnPgYgUYuEkD5cfycFTyYTKaSDIBC6jM1x4EXpslgs9lgp8sT0eF2JVBBrTypCH+amghmWGK70co2exYYH3/JYpxOvu3WnLzbveaarU5nMy8zBxBUAhLXjYCBbeOw0cbKS94FJQ/L5VVVJJHNdF5eXlwImaWD6lR1doawwrlsP/+vKPV8P7/h+z9eDgu/5elDwPV8PCr7n60HB93w9KPier/8D0T5BUVU/DXoAAAAASUVORK5CYII=\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 59\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 60\n" - ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 61\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 63\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 67\n" - ] - }, - { - "data": { - "image/png": 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OyxTa7/dh2zai0aj0We/evTsFAy4Tz/Nw//59NBoN/NM//RMGgwEASCDo9XryXvV6HdVqFaPRCNlsFplMBqVSSQIMi65QKIT5+Xl89NFH6PV6eP78OV6/fg3btsUmGo2GtOOazSYajYa0UkOhEJLJJABIER0Oh6UWyeVyyGazaDQaU/1rVS404rW1Ndy5cwepVEr6d+wfElOFw2EB9NxkTdOQSqWwuLiIXq8HwzDgeR4KhQJ6vR7S6TTu3buHW7duod/v49mzZ3j27Blc10UymUS/3xcIYRgGDg4OcHBwIG2tlZUVVKtVmKaJZDIpFWy/30ej0UA8HkcikZgaDlwkf/M3f4PPP/8c+/v7ME0TpmnCMAy0220EAgG0223Z0Fqthn6/j/X1dRSLRaRSKcko8XhcWlDZbBYfffQRyuUyGo0GdF3HF198Add1BV61221omgbHcRCLxdDv98Xxh8MhYrEYer0ebNsW+Maf73a7iMfjGA6HsG17pnWGw2HYtg3LslAoFKRDlEgk0O/30W630Wq1cHx8DAA4PDyUAiyXyyEWi0kEvn79Or7++mvouo7V1VXcuHFD6qB/+Zd/weHhoWRF27alZbe6ugrP83B8fIzt7W3EYjHkcjn4vi/Bif3vdruNubk5PH/+HHNzc/j000/f3ojX19clIt2+fVt6l1x0PB6XqLG+vi6NcsMwkE6nEY/HMRgMsL6+jlQqBV3X8fOf/xyO42BhYUHwIadfx8fH0kZilLp27Rry+Tx0Xcfu7i5M08TS0hIcx8FwOJQFa5qGer0ufe3t7e2Z4cTjx4+luCHOTyaTaLVayOVySKfTUh90Oh00m00sLy/LcKRWqyEej2NxcVEiValUwvr6OrLZLNLpNCqVCr744gu8fv1a6oRQKATHcRAMBrG+vj4VkVKpFMrlMnzfR6PRwHA4lHYdMaNpmtje3sYHH3wwsxFXKhVJ7YZhYDgcotfrIRqN4tq1a2LMvu+jXC6j2+0iHA5LBgaAdDqNVquFJ0+eYHFxETdv3kQ0GoVpmrhz5w4KhQIODg7g+z7+5E/+ZKrW4RAnFothaWlJithgMIh0Og1d11GpVDAajST6/+Y3v8HKyopksrcy4lQqJVX12tqa4N9cLodIJCLGxCFEIpGQ9E6MyZSbSqWwubmJV69e4d69e1hbW0MsFsNoNMLy8jLW19ext7eHTCaD+fl5mbg5joNAIIDFxUUpMllIhkIhhEIhtNttSV/EYsA0f+MiaTabKJVKCAaDSKVSqFQqsCwLmUwG2WxWJmrA6aiWkIWO5DiOdExIPGIGozN+8MEHyOVyqFarGI/HuHfvnrSrer0eXrx4ISPuYrEoOD8cDmN5eRnBYFAcKBKJIJvNAgAikcjMrUTP89But5FMJiWjhkIhNJtN3L59G6PRCLVaDcFgEK7rSpQeDodoNpsYjUais52dHTSbTfz0pz9FNpsVB9N1HQ8fPoRt24jFYqjVarh27ZpE33q9LtAyHo+LQbPFxzV5nidwJBaLIZ1OixOdlUu5E/l8HgAE9+3v7yOVSmF5eRm+76PX66HdbkvDnjP2SqUyNTIcDofY2dmBaZqiQAAyuXvw4AH29vYwmUyk1dbpdFCtVgXs06k0TUM4HEYsFoPneYjH48hkMojH45JuVULLZVKpVDA/P4/hcIhr167h8PAQo9EI165dQ7fbBXCKE33fRywWQygUwnA4RL1el/cCANu2sbm5ifX1ddy4cQORSAS2bWM8HiMajeL+/fv45ptvEIvF0Gw2sbCwAOCUaNVsNhEMBhEOhyUisY1oWRYGgwEsy8LS0hLC4bAUlYxiswh5GIPBQFp3jJK5XA6tVksyKfvwXJemaeh2u7AsS1qpn332GT744ANEo1HpLgwGAywuLmJpaQmpVAqhUAitVkumkGyJ8rkDgYD0w7mXpVJJIvvW1hay2awMxs6TC1ff6/VQLBbFELlwRkZWopZlIRKJiBF3Oh30+324rgvg1FDZR/3kk08ksnBUDJxWzuVyWSpZtudM04TneRJ1Oc7lbN11XcTjcVy/fh2BQADVahWO4/wfxJSLhGNb4l/2ONmzZhpkccKCxPM8WQcxbiaTwZ/92Z8hnU5LIUwIcOPGDRwcHGBpaQmGYcC2bUQiESnuNE2TgQPbeZ7nyUTUsiwsLCwgGo1iNBqhUqmII88ipmmiUChgZ2cHd+/eRbValUhHnK3yUQAIuYppPxaL4ejoCIFAAJ9++imKxaL0lLk3lmVhfX0dR0dHWFpaQqvVgqZpiEQiUwxIdihCodAUfZejfE3T0Gg0UCgUJOOdJxfmW3YJyBxLJBIoFApTi1RpeZyJW5aFaDSKdDotvWD2Wu/cuYNEIiGKCgaD8tCffvopjo+Poes6LMuCYRiIx+OIxWJTXYlYLIZoNCrfJ5NJMXAaF7scswixebFYRKVSQTweRygUktEyX+ssF5YFXLlcRjgcxtbWFj766COsrKxIhFPJO6FQCDdv3kS1WpVowxojFApNFZWMhKFQSIIE4RTwBt9Go1EpqC6TUCiEYrEoVM4PP/wQwKmhtlotaQlymkrhexcKBXieh8PDQ9y4cQPLy8tIJpNCDqIxTiYTzM3NIRqN4vDwEOvr68jn8ygUCshkMlNsNpWnHIvFkMlk5PXYkUmn0+LI58mFRhwOh+E4DtbX13F4eIh0Oo10Oi0pn9GBEYdRhySWfD4v49wXL15I643Eei6AaTSTyeDRo0fY3NxEIBDA3NwcCoWCtJUcx5lKKYQSxGmapsk0LZlMfmf6OSuFQgGtVgurq6tCtOE4nKmPrS6y9MhDII9gZ2cHxWIRa2tryGQyQq4hIYiknaWlJRQKBXz99ddYWloS+mcul0MoFBLCjcrdBYBkMinTORpwv9+XqdcsEo/HUSwWUSqVcHh4CNM0cffuXcHlAKaio2maSCQSSCaTAhmeP3+OxcVFfPjhh+KopFFS74R0N27cAABsbW0hl8thYWFhCmqoEzjSEkKhkHSX6vW61CpqZj8rl7LY2Pdlf29hYQG1Wk0GAGSRcbjB6MN2kG3b+Oqrr7C4uIhbt24J80nlDhPoBwIB5PN5uK6Lp0+f4tGjR1IxN5tNGUUDb4jdJCWx3ba1tSUsKxJbLhMq7cWLF/jss8+m+BwqXFDTPeGA53l4/vw5xuMx/viP/xjZbFaUoxK8SfFsNptYW1uDYRj44osv8Jd/+ZdIJpNIp9OwbVsmhCohn0ZCGoDv+9jf35euxKxGzEhnWRYSiQQODw/hui6uXbsmEZQp2zAMef7BYIDj42McHBxgYWEBKysr0g8HIMELeENFZQ1x/fp11Go1fP3111hdXRXSUKvVwmAwkJE86QnRaFRqL9/3kc/nhQ33XbDpQiNmkdbpdHD79m1sbm5C13XhdXKhZGCpi2BRtr29jYWFBayvr0PTNEmh5ByzCuYUZzAYIJPJiEHato1yuYxyuTzFnCNGZfodDofY3NxEv99HJpNBvV6fGSuyuR4Oh/Hzn/8cn332Gebm5qZOI4xGI8HEvu+j0+mg1WrJSPTevXuSNSjq0RxmHdI5eSToyy+/lHZjPp+X3i9ZdNxX1gSdTgeVSkXajt1ud2YjPjw8FEpjo9FAPp9HtVrFkydPUCqVsLS0JP35RCKBXq+Hg4MDNJtNeJ6H69evI5vNygCKZHdyh9mOZQYid3pxcRGj0QhPnz7FV199hfn5eYEbrHl41Oz4+FgyXSAQwGAwEJLU72XETJ18uOvXr+P4+Bi7u7vIZDIyniR1kKPMRqOBSqWCbreLfD6P+fl5MTqmy2g0Kg/FCMSigJV4Pp/H0dERjo6OAJym1EwmI6ywTqcD3/el7UYD40h61sIun89Lel1eXsbnn38O0zSFc8vMwoEDBxKcXFEhwJsOAA2Y6+12u5IxCFcymQzy+TwODg7w+vXrKeYcHZvKIzeB/86o+TbcCRovoZeu68jn89jb28PLly9xeHgo8Iz4OxgMolQqSV2gUm3p5KSvkt1HshaN0HVdLC0toVQq4eTkBNvb29je3p7iibM2IC+HWY48c9rjWxsx+4WchlmWhXQ6jcPDQ7x69UoKuFQqJSmcqY+FHSdn5A0TqFPJjuPg6OhoaoQdjUbR7XaFqNJoNLC7u4vt7W3s7e3JBpE3zPfgs1JJs0o8HheDicfjyOfz+Pbbb1Gr1WBZllAKWUhqmoZ0Oo1AICBpkEMCKleNTLVaDfV6XWCIpmkSYZaXl5HP51Gr1XB0dISDgwPpCLCKN00TqVRKaI0MLABmxv3AKRWz3W6j3W5LZvA8D8ViEa1WS6im8Xgc0WhU8DDhUb1eR6VSkaDSbreRzWalU3J0dCRZcm5uTvA6+/DZbBaFQgHr6+tCx+Q+MWPRKanDs0ebzrXTixbNhj5fgIOMZDIJ27YllasnHWKxmBiiaZro9XoSmWu1GgAgl8uhVCoJSfzVq1fo9XrQdR3lchn5fF7YTyyE1tbWpphcdAJGPfapeXRJTcWXCamOdIxoNIpcLgfXdWUMqnZSOKQwDAOu68pYvNVqIRKJiEH0+31Uq1UcHBwIZiwUCiiXy8IpKBQKKBaLyGazWF9fR6VSQb1eF6omlUhmG4s+QrG3WWez2UQ0GsXS0hIqlYpwUVZXVzGZTBCNRqWAZORlpOWgZHNzE//8z/8sbD4GpEajgf39fbx69Qqu6+LBgwd4+PAhAMgBAHalmL0XFhaERE/n6vV6oktCL+DN4dnz5NIuOQ2FRVQgEJDDlGyBhcNh8d5IJCItE6a7er2Or7/+Gl9++SVyuRxu3bolm2jbNp49e4bXr1/D9308ePAAd+/elelRqVSSI05kufFEQ6fTQbfbFcYZU+95J64vEvJn+brxeBxra2vwPE/WlEgkpOXFDeUVAbVaDY8fP8bTp0+xuLgobDVSHLe3t1GpVOC6LjY2NvDxxx8LN6NarQo3xTAMmVYCkP0hVZEVOo9IEUbMus4vv/wSxWIRuVxOojDxp2EYUheEw2HpOlB830ez2cTR0RHa7TZOTk7g+z5WV1dhmqYUf69evZKiLpfLydp6vZ44nUpuZ8YhHGOgILykE1E358mFRpzNZvH8+XM4jjOFYXnkKBgMIh6PC5RQj2AzQtq2LZiLX5PJBIVCQXq6r1+/xrfffitdAB5N4SkEvjaVxk5BJBKRxXE0zMOl6s9fJqzWqVSyutivJpeZigcgKc62bRwdHWFvbw/b29vY3d2F4zgyZSJcevHiBYbDIWq1mhRxNFI+t2owxKNcL5XLrgs7Agwus8ju7q5M+bLZrBzHYmRn5FXP4um6LrwJnrDY2NjAhx9+KIGEPe3bt28DOJ2AGoYhBwzYleFZPb6n+qfaraJDEWqwzvguQteFRkysSIVx8sYHUw9mciPU06x8gEajgVgsJj1JplzCjo8++kjO2Om6jpOTEzlp2+l0pB8JvOknMlLQU2lwPEE8q2IB4Pnz5xgMBjBNc+ooPiMUMT3fi1GbOK7X6yEej4sSdV1Hq9WSgnNjYwOe5wn5huP3QCAgrDhO6HgUibiYa2PfmDRQ9RDrrJGYXSFOXXO5nMAR0zRlKkadMhLS0fL5PLLZLHq9Hj788EPE43FsbW2h2WwiFAohk8ngk08+QbPZxMnJCUaj0RS0IoOOe0jeOfeS788OB1u2qt7PkwuNeHNzEwCmjuWz3cRqXe0R0mtJyyQ3lAq7ffs2NjY2MB6P8e2330qUzefzSKVScvqXR1lSqZQUD/RQAFNHe+itPJ/GyMyIMot89dVXCIfDWFlZAQDBogCkkCI2pVHxgKxpmshkMtjb28PS0hI2NjbgOA52dnYwHA5hmiZKpZJ0WjqdjhwsiMfjAklItFHH5YQNrNB5FIwHM1mrzOqw6l0YdAKmdwYp1hwkIAGQSaKmabhz547sfSwWw9raGnZ3d6cKzFgsJiPseDwuLECuh3ak7iv3mcar1gPAm07ZeXKhET9+/BimaQqbjOmfaZ80QrbPVK7AeDyWqnp9fR37+/uikEwmg5s3b2J/f1/eiwUTDZ/sN57LU9Mm8S8NlYvj+1Kxs8IJZhimO/X4Px2S1EfVwPgzq6ur2NnZEachk+7g4EDwn2maQvckhZTtNGYsBgGuR70igOtkEFGHPrP2wxkBWfWzR099sl9LI2O2VQ8FLy8vI5VKYTAYSGYYDAZitKwZWOBzhK+e2+Oz8xnO4nwW7Tymxq/v6lBcWtjRWwaDgUQhpl1ivslkIs14RkOV3EwaIj2dbH4+nFpgZDIZgRk8jErlschkFOHCabD8Xm3CzyqcTFFxAIQLMhgMBDMyGxBuDAYDFItF/MVf/AU0TUOlUpHbaujQNH625NiaJBtNve2GiuSeq2ldjV7qxTKzkv9V6Mc6gldgcd/YC6bBs6hW90SlCrC+IV9cJelEo1Ep+NVoTkdm5qHzcH2q8zLwcX/Ok0vvneACGWU4HSPTTPUuGg0XysqTyhsOh1IEjsdjZDIZIUvz7gnDMMSAVYaT2lZTUxAVfLY7wUgyi6ibpw5OuG5GZxUTM+WxAOJxKQ4LgsGgEGYY0flejFAsYHi6l+3Bs/CFCubzcJ3ci7eBE6oRU4/qWTc18rN4JnzhXjPakrnIQRdhFjMNx8j8eeqJEZi1gNoX5h4z88wSjC7UMjeHXQYqTQ3r6r0HxDuq0lXjH41GMuIl5ZIb2O12ZeMYoQhV1A1k+4YerFa3rGL5dVFv8ew6qQBmE/VyEm66ZVlwHEemblwT94WdDc7/s9msQC0WK5PJRAYK7LOrF4SQh8JpFpXJIo8Gzp9X9XSZkB7A/aRuPc8TZ+ReqNiUEZm6JfmJZCnaBGFZv9+X51MDkIpz1VGyCqGYvdQsrUKn8+TSSMwXpxeR0aVGXxWrApAUxd9Xz3IxPfHmHj54JBKZGqGSDqhiSHWowrk8f1/F4urzzyJMUzRYz/Pk6la12c4DmWokYxuKZCieWODpCxpCIpFAp9ORdTEKq0ZJo2KRdDalqsqlU6v7f5kwK3BdqmGpLUkaM/ePl9YQVozHY9TrdRwcHCCVSqFUKslda+oElaNj6pXPzDXx35m5qUt13VzbRR2YS/Otarw0St50QwXT6/hA7XZbKH0k6TBlUphmxuPTO2nJESbQZ9pUsTCjEr8nyeSsYlVDm0XOGoM61uW/McrTAFQCElMnoz9PKhPP9/t9MQTVSHnamHunFnAMHir3loanMrqYBWYRNUMCb5xEhUykUarXizHyApBbnU5OTuA4jvBZWq0WWq2WHBAmZYARnq/JCKxCFBaB/F6FUmok/r0wMX+ZnARu1ng8FgNSLzvh/7HaJTeU9xHs7Oxgf39fLu1IpVJoNptyfIUE81QqBdd15YJB4ijVkFnxsl981qE4h59FVOzPP9UeJQlH6s8wktLx6vU69vf3sb+/D8/zcO3aNeRyOTQaDbnIhcfPk8mkrI1GzjWoxhwMBhGJROQ56Njcc2a5txHVyXk+Uu380FHZ3+cpc9/35Soqnr5mfdRoNKQoHo/H2NnZkTtHCoWC8EtUW1F5JyqvnEUr9U9Yp9ZcZ2UmF+amqtGXhqxGZw4naMiWZWE0GuHw8BB7e3toNBoATqHC4eEhAMjdayQbed7pfW2FQkGGCuyRMtLpui6UThaJ6kACOPVa3mYzqzADnO2IULmj0UjOE7IDMx6PhfxC/rJhGHLsnc9NeAIAKysrWFxcnKrUqVx1uMEJGqMgnVJtR71Ni40/T7zrOI4camCnQuXJENuSMdhqtaRVGA6H5UQML2NXL1QkX0IlNHEdHG+nUik5Tc59ZvtPjdTqms+TmYyYkxW1eKGozWjesnhycgLbtoU+yDfnKWiOK0n0UItFjmZ5SkA9FkTiO8+lqR6qFgJU1O7u7kzKVSEDMRwAwYB0DDKyeFUplatyjck0o5Ew2nEyZts2tra2BD7F43ExKmY2XnuVTqflBLRaKKvRjM41i/DnqUdCOZ56VvvkPHV99+5dOQBQrVan5gTpdBrRaFT0yauxeN0vD1LwQsazWYWiOg51Sn1SN5wcnieXXmPFqMQhBJXBhyDEUMeTKv5lC4mAn3DB8zzZFMMw5FYY8lU5juTiqQB6PRvyfA51EEA5OTmZSbmUyeT02BXTIo2ZTsZ0znNlvL7K8zw5wkNCfzQalWtqyQPhmT3P88SJeaEiW1lsOfHyFI691fYTUz7XOmsk5s+rMEkdWqgdBQ6bstmsHFOzLEsISbZty6WK7DARRnDPyEvmUIUQjNibfXDP8+R4lDrwUGHiRfDw0uNJKr7kXQLcWOJGz/OEBLKxsSEsKY6P2Tpjqp5MTi8hJBWP+EmtWtVjMsRNxJH8Xu0Lq9X2ZHJ63ex3nY49T9QIweNBZ7OEZVnCAuMJYR5jUltT7HPzSBKxo3qtAUn1jHocHLD4ASBDEn6p61WzztsUdmoBqw4aer2eFJ7MtLyuFsDUXvBuOcIqDnT4uww6quGSfsDsRpovedgszOmgKjdGdeLz5NLCjl7DFpM6puQm8Gc4beOJVRocr2JSD0FyZK3ibdVL2dkgr5XDE6b7s1CF/8coxuPoswjXwL+T2yyb9LuiIxqNSkbhRTFklfGYENN9rVaTooT9Z66P7UZeGsgvdjnYK1ZH3mcLV6ZdZrJZRMWUhEmEinRaGjD3U810rHN4EAI4JcbzORnFGeh4qTp7yuq4mXpX78JgPUBoReN1XReRSOT3w8RqyykQCEiPlpvJCzCoAACCBZkWafCTyUSUTfYV0yAnXsRM/NgtHtUHIMZNKMHhBHuc6uRnMBjI/XCzijrWZCRm1GKXAIAMajiQoBEFAgG5b4yOStxKcj1hFiMVeQWMUORnqGN0Oj/3lvvFP99m7Myf4+uorLlutyuQBoBQU9XBBzG/YRhyoJfwiHiVOmB0JtGecJBGq3Ii1Akh6wnqW61Pfq8bgOSHfmcgPJhIDEQMx1Sh4lRO0hhVeVqChGfiQW4mowILC6Ylvrfa9GeTnBgVwNTYslarfeddtucJoQDwpsjgKVwAU8UOU7m6Rg46SACv1+vCb1Z7nuw40OhZ2LGnzQjMbHIWGzKKq87PvZlFzptg+v7pKWpe60p9E9bw36gP8spJ0mK/nBQEGjZhlvqsKl9ChY3sQBHuqF0Jx3GEl/FdBeylcIILp2GxJ8riTJ3Hs1JV2ziEBKx2mWLpZfS0Xq8nPWH13gMqkBW5ahg0auBNccMb34nZZxEaESM88Tf3gD1xtVPB3yNu5ShZPZdIo2SEYebg1JIcC3UtKjdCPX/Gn1ExOuHM20zsGOW4NjowC1FmHkI1UgW4t2rmpfOqJCnqLZlMyt0khH7cCz47AwEz99leOWsn1kA83nZWLjRildxD/MsKldMZdTZO72URwJtjeAKDtE7CBtUIaaTqJ/bwaiWVKKLye1Xj48Ity5Lj7rNyJ4DpyRg5AiTpq/wJGoFazFK5uv7mcz2I45ldeMcCL+2mYzLD8Jlp8GdZahzdM6Kz4ifJfBZRoYqqY2aIdDot7TG1S8Do67qn1zfwnCXhTrvdFiPmZYAs7IE3BSLhFGEEe9GkFRCf09nS6bT0rtmPPk8uPbLPF1epePl8HsfHx0LsJreYG8R2DTeZv6sysZh62KdkUZPL5WQ02e12p7gFXIQ6vVEjpkprVI8SXSaqo/IrGDy9uafdbgsXViXqkAPBtiOLK3XYwjRJZZqmiWw2K+wv9fg7DUztsqj8AZUkw3/jp0XN2oU5y7PgM1I/wWAQ8/Pz2N3dhW3b0oXhRze02+2p68Xo1ByKaJo2NaqmftX1cPpKp6Zu6bgkmuVyuanMzqh9nlxoxGoBwAUzdZbLZbx69UoKK+CNkVJhNFg2u0kMYipRhwGqEfDqVHYFSA7iERpGBRo25++xWEyilkpguUxouFQEgKnebafTEahBgyKMUI/z0LCpEPIPyMxjzUC8y2KOvW/1WJVKkGFPlZiQgYSZclZMfFanrCPUYj0UCqFcLuPly5d4/fq1HFrlxwUzsBFLU++EJWrvnl0L4mnXdeXTtTgMY5AilPQ8D6VSSYZiKrXhu4LSpUasVqYsPjzPk3vZ9vb2hAjCk88AxAhJBqJw41UiCyt7Cj/Six7MfnOv15PjM/RiHmIltGH0fls4cVbBVCo/3orXBaRSKbmKi3eYEauym0IHopICgYC0ypgh2N0g7iSEIoakk1J5dHpGc9WgZu3CqLwPFR+rhe1oNEIikUA2m8XLly/F2HhcjHi40WhIixSAHIJQC3pCjHA4DNc9/dQnGnG32xX9cX2GYUx9TogaLNTBx1m5tMWmtp5UGp+maYKh+HD85MtkMildC5Vmp44O+WAAhN7HlNHr9eD7voxk+QlJ9ODJZCIGwqkSx9Nqw/xtIjHXq/6dTsx70k5OTjAYDJBOp+V31YqahSeAKQWzcU8cT+Uxy0wmE1kbPzKLsIRwg5kol8vJeTV18jWL0Kn52moBzmfkszOzHR8fy7UL/KQrBiIVo7NFqnZUVPinRlsGJeBNO5OXmhMi8bn4JyeY58mlNwCp1T+nMPS0UCiEdDotN4Dz0yOz2ax8DgX7ihxh09CohLNMNPYcGa0HgwEqlQps25ZRLSMf7zWg0am8h1mnWNxkFYLwvVWuAW8iOj4+FgI/+9s8C8jMo2JPDm3UAQWjLluVvH+ChSyjMadjo9FIeMos5FRnm9WIqUu1Q0GsTyEtlkMrThb5OYXsHPH3qFO2IFUCj5opeIyNxqs6OHvJXB/bdewKAbiwbarN2p65kiv5Q5W3I6NeyZX8AcqVEV/Jey9XRnwl771cGfGVvPdyZcRX8t7LlRFfyXsv/xsX2M3juiWjLwAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 71\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 72\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 74\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 75\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 76\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 79\n" - ] - }, - { - "data": { - "image/png": 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Lsv6oF1jszgSk5Jc0TVVnKO6/tMXFAuK+ctrSRsoBCO+G55YXcrNIfOS1VANx2UajQa1Wo1AoUC6XVQgtuu0iOHjeLgurk78tjpll/LS05rbYSMjpyohXBH5xf4kzKTGyKbGYfE6sK4qt53k0Gg2SJFExPhqN1PBx8TkymBB3FssvjqZ1XScMQzXBWQq49LyycRn9frWbEheUg5K2UfplcWfP84DnmvrDhw9V5vZ9n7OzM8bjMa7rUi6XFfMT9idg5blpmqqx1OJlBLG4GG4p4NJNiVWldi5aUCjp4pQUntf9YrGoOqkkSTg+PubLL7/k8PCQ4XCo5GOAwWCgtPaNjQ3a7Tau6xJFkcrcQRCoNla0tnK5rAiWkCzf91U3uBTwOI6VSiI3D8R9Fq+FACqTHh8fE4YhaZqqwaIoq+fn50RR9EJpfPLkicrMxWKRwWDA48ePKRaLrK2tUa1W1cRWLFkqlbAsS+UByepCrYW4LH0xII5jJSBKdhfQi9dB5IGDwYCjoyM6nQ6+76uMLiClDfU8j+l0iqZpagwsVUBo52QyodvtqssDEjYiZ9XrdfWZRZD9fl+Rq5etr1VgJG4ty3qh7QOUpiVMajKZKH1b2J7oY47jUCqVaDabtFotJWuFYUie54oNjsdj+v2+OhDJ9pZlqeZFDvOrd3Fk3CSfW5q5LTIsSRRy5UouA0gCdF2XtbU1Go2GunEk7rm44TRNmU6niu97nqcSp0xAqtWqekaxWFR7ELYm0rOEiPCE8XhMt9tV+1/6RkQQBIqBLTYmX718I9TTcRzq9bpSViWeDcNQLapc7RA3N01TWWtxULCo3Mp7RMhclJul0mRZhu/7iqouannfGDg8v+Ajzb0kEtu2lctLAsuyTN1akPiVur6osw2HQ3zfV9x78R6b53mqx3cch2q1imVZ6rvkR+JXiI4c7OnpqfIUyUNLAZfppWjfQiOFHMiGRKwQXi7MbvFGomhjEiqTyURpcFIpJIktbloan0WSJIlMEquQnm63+4ICs3SM12o1NXWU+2lynVNOWlxNRseSC8QyjuOoEVO1WlWiYBzHRFGE7/sqM4uCIochZWyRmS1y9EW22Ol0lHS92DgtBVxGvb/73e/o9/uUSqXnH/rDl8uJygOk/AlPlrZUrmhJJybTD6GpQo5EwDg/P1eUVcJBQC/yd/G809NTjo+P1T3YlzG2vwg4QKVSodVqcXBwgOu66vRlnKvruppaSBKSA5HEtsjeFhWbxZuNMpj0PI9KpYLv++qGhVDVxb5bDn46nbK/v//Cnl/m4n8RcDm9ZrPJ2dkZ/X5fCXnz+VxJyIskYj6fqwsEAnJxjmVZlmobZQozmUyUugLP+YNc8RLKKo2HJDShsJ1ORz1f1uLoeWng8NxyjUaDfr/PYDAgDEOiKGJlZUVlYjkAiUtRSYS6ih4voqCwPXH1JEkUYLkSKn+T9y7ydrkTJwRIdHRx98Vm6k+tt/8K6U1bb4G/aest8DdtvbHA/wc8s/RNlG3V1AAAAABJRU5ErkJggg==\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 82\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 83\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 84\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 85\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 86\n" - ] - }, - { - "data": { - "image/png": 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Un2EjAFJT5i/DtixLaX/q9LYqYnB0raoKL1++xJdffonpdCpeXQWtPiB4IuDcEWVlJlPjE80U/V+/fi3UlFHQ6/Xg+34LlHqtsixbTz0RSK/XQ6fTgeu6iKJINiLu3buHx48ft1QglU2u7pkd5f33/wvpvB3vgZ+34z3w83acW+D/B9VtwOvY6gmSAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 87\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 88\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 89\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 90\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 92\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 93\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 94\n" - ] - }, - { - "data": { - "image/png": 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UHc1hnc4zZn5Xz4L5n6mNBsyeM6OHGrmupWDWcRRcBUkqMcCcwb958DwUtRfK3xne+BlVKbROHrY60qIeHsOUyiNzr5wlu6qCuW8qidfmi+/hUmWjkau0qzozxojA96qyshqhgaltTiqW12eFwr0ahoHVaiVGfW0FkzCnchmuyTRdHIZTLVqdcqA3EnjQSFR+FoAANLUWVQ9THaajB/HA2Lnifm3bvrR8UFcURWi1WlvkPVOOOp3CEM49U3bun0g7y7LvpCqVLWN3ynVdLBYLIX94flVVCTi9OM1Cvl7t3N04RC8WC7kgcyl5UjUP0XK5OVpxnufS/mOrUUWgBDK0XM/z4DgO0jTFer3GfD5Hs9nc4lzV4TiVomTLjgra2dn53qnN71vL5VKUQzDE8k3FFhdnyehJxA2z2UyaM2w7qry4mq89z0Oj0ZBhhSzLBMDyXiouoYerHq82L26sYCb7KIq22mrMx1SOCkaKopAOUxRFEmpYyzEn8RDVvMPJCU3TEEURlsvl1lyXGiZp4Sp6pUGy6XCVFUWRdKrYDlQVCXw7LkyDVNNTGIYy5cF6Wp3VooLVnEy2i6F7Pp9LRaFy4XQkFZNwDrzZbGKz2dxcwbwxvYh0IMMOQ67qUcAHwDGbzTAajaTt1Wq1JEyT7WHNqiJxKsx1XcRxjPPzc+i6vjXyw4NSvYifo7Cqx31srVYrzGYzISxosLVaTfZMD2SopudyrIitUPL0HDOyLAu+7wuuYCRSyyff9zGfz4UepSHzPlwEcgSurusiDMObz0Xbto3ZbCYNejV0qGQDlc5SaDabYTweI0kSzOdzscDhcChMERVKa1+tVjg/P8dkMpEmAenAxWIh3K96QHwxtLLTxQ7WZZatLk5YkORQa2zVk+htvG8cxzg7O5MWHgcSx+Mx3r59C13X0e/30Wq1kKapdJw0TcPZ2RlOT08RhqHQurPZDI7jSL+Z92J4ZhohNuIM2WXtwo9OVTK3qMPhLLhp4SodGUWRzFSR4Tk+Pkae5/jDH/6Aqqrw5ZdfIgxD7O3todVqicV//fXXePXqFfI8x2AwwNOnT6HrOuI4loY+Dx+ATF9yooSjOo1GQxoTV1ksNTgtSeZOReg0KhpznucSmk3TRBAEyPMcr1+/xmKxwFdffYU4jvHFF19gb28P79+/x87OjnSmXr16ha+++gpZluHFixf4+c9/LqBJ5QtowBx85HRMlmUYjUZYLpc3VzAR62q12hoVJbip1+tbs1YM6XEcw7ZttNttOex3794hSRKcnZ1hsVjgs88+Q7vdRhAEqNfrmEwmePv2LcIwlNmkIAig67oIBkA4cIYr1aqXyyVWqxV0Xcd4PL60fFCXZVlI01RIB+BbSpRNA4Il4EOJE8cxZrOZMGZskEynU0ynU+zv72M4HOIvf/kLTk9P0el0ZPIkz3OcnJxgtVphd3cXvV4PjUYD8/lcQrnK13NIjzNZURTJOf9NU5UMTcvlUgRn7iTzo043bjYbzOdzABDPtCwLX3zxhYShVquFyWSCd+/e4fz8fKvkCoIADx8+RLvdFhRMQoDsFssHMkYEHBSc4zMArtz0p4IJsAhmNpsNGo0G1uu1lEwEhOPxGFmWiSHmeY5Go4HPP/8cADAYDDAYDHB4eIjFYoHJZIIoiiSfdzodPHv2DDs7O9LTrtfrQtMyehBUcX+cyyY2+BjO+Gi7kI0CjtDQspnk1TxMCN9sNgVIMVfv7+/DdV20220cHR1JOcKcRwv3PE/uT5LecRwBbmS01DlqNXTN53OkaSrNiqsslbEi782ODq/leZ4AMHqU67rwfV/OhOh/b28PcRxLC5VsHFkr3/dlQF6d1CBSXywWgnWqqpKRZA4u8uyusq40NkuPUWd/W62WlCPMSXmeC3fMME4Pb7VacF1X+pokI3gfTh7qui6lWZqmUi8HQYD1eo0wDAUM0XupXIYsGt11Fgfu+HO1Wm1RlCwLmR5orGTZGMU4BNhsNjGfz7G/vy+4hZGBfzNKJEkiwIppLwxDKbUYntVxZJZdH5vJulTB79+/x8OHD7d44DzPJccyn9B72RVhONN1XSY/0jSVxrzahKARqbUniX7mfw4d9Pt9TCYTTCYT+L6/FaLZhVIJmKsSHZvNRnIoD5l7I5ECfEhP7BE3Gg34vi+ez+jGqRB2ymjonPVme5XpzXVdQcg851arhdPTUxnRoXNxhppOx5r6xgp++fIl+v2+UIhEsgxFPBB1EExlly7ywWwlMhSqIZ+TmUTejBoMVRSWJQcXywiiTrJkapvtYyuKIgRBIGQL0wIHEhhFSJVSTrXRTpaJh89BgKL48LSFyh8zLKuerLY8WTuzQknTVLAPZVLr/Bu3Cznw/eDBgy3yXQ1HKrok+U1Lo5fxvTQKhnCGGbUPS+VScfwMHyMpigK+70tpBWCr2aG28a66wjDcGpmlQZOIUac4AEgzfjKZCO/MQfR6vS57MYwPz1CtViv573QQnh0Aqfsdx5E8rWkaOp2OGBLPiJiGSlZ/XlvBDx8+xHA4lK9w4OyRepDMj5PJRPKJ6rUETWr9bFmWPKfEkE+SRG3ZaZqGOI7Fg4EPIdzzPNi2LWFepSyv0ybkOj4+lpTD8SQO7TFlOI6DdruNLMuEnKCcNHymJFK4fIar1+uh0+lIuRlFkZA/5OjJDBJH5HmOTqcjoZ0Nn4sdNeBv8ODz83MYhoHZbCbTFSriJPDwPE8AEPncNE1xfn4uIY8hnpP+RKZkgNiQYOgGvu3x8vszyGSRmCCwuzgSRKGvM1XJpxc4V005iRd4qJ7nybNW3F+SJDg6OtpKMdyz67qy97IsRckET8C3HkjDVZsMPEsqnalHZRAvW5cqOAxDtNttTKdTzOfzrUcziXbZovM8TyYAqczlcinkBT2QiuWXnQDAeDwWr2D3ptlsYmdnBzs7O3I/lhE8VN6bkxFqaw64/JEOdfFphfF4LMCJYZmLbF6r1ZIBPwJBx3FwdnaGk5MThGEoeZQjxlT2er3GcDjceuSn1+thb28Pu7u7Ymzq1CYrCkZGtYy82Hy5toLppaZp4uzsbGsui8oIw1AmDDk8xlnog4MDPH/+HOfn5xiNRlKjpmmK6XSK8XgsOe/hw4fiQRSSYEedaiABwHINgJRJNBgq+qrhmo2E0Wi0hXBVRimOY0wmExkA5L4ZZpvNJp4+fYowDPHNN99gPB4LSVJVlSD/IAjgui7SNEUQBNjb25N0pXojwRWfceJc+kV8oQ5WXFvBHNfxfX8r5HLchnmIDQJ1DJR5iDPNJDE4Asrww3DMiX32oNUJSSqMCl2v15hOp4LAZ7MZTk9PJYdyXRVoMSpNp1MMh0OJQGqbjx7HVh/zLp8bZi+41+thf39fPhOGoaQe1v0Mr2xtsvKgd1JpTF3qQ9/fJ9eNczDdn8IuFgsJ1bR6PgVIYHJxPJSKIbXGkMOamt5JOk4dLiM6V6cKeS3mPxoeqUq2Fa+Sn7g47MZvF2A0UisGInnSlpwcJcVIcmIymcDzPHS7XXQ6Hezv70sKYZ3OtEL6kuNAatRgSCaLGEWR0MPqJM3fFKKBb8dEHcdBFEUYj8cSRh3HkVowSZKt+SF1ZIXGslgsoOu6PD97cb6aIYgg4+JYLgUiCQF8AILHx8ewLAvT6VTakTTKqywqynVdQclUIBXNEEkky4hFQ2LIjuMYYRhiPB7j+PhYht1plKwkaKA0fLVTx2kYKp8GTAqY56Eq+0YKprWppcJyuZQmPFkWjoDSI0kMqFbJJxPZLWHzQB0coIXX6/WtelI1NqJ0kiQvX74UlizLMhwdHcH3fZl5uqqCefh8puj9+/cyGMjIxJTD1MV0xEdl+NQBwyrzJ5VIRdKQibiZ03kWHARYLpdYLBYYj8dYr9c4PDyUfM0oog4cXlvBVDIAyT20UKJEtZ4jqa6WUvRC1sssaRj+eMA0Fl3X5brqqqpKwAZz78nJCU5OTr6Tu6Ioknx5lUXvYU3Oth/3rH59g2rIam1Pmdrttgwx8AF2NWUwwjEFqQ1+EjwkdeI4xuHhIaIokm8PSJIEpmnKd5+oX9V0IwX3ej25ALsnYRhiOBzK1zmQcKBy1S6SinypSHog60uGGX6znm3bWwdC8oOzYSrxruZatQ7mZ66yuDfHceTJyTzPMRwOBUd0u10AkAMmglbTCX+6rotOpyMzZfRGGhzLIN6TZ8RIwrbr27dv8ebNGxngUzFIkiQIwxBBEMjerq1gTdNwcHAgQMk0TUHUs9kMb968AQDpmKjNcXotvxWHObNWq8kTA+pLnbqkQVDxrHkZnjkcr47xUFG89nUWgRS/NIWlzXw+x8nJCYqiwPPnz9HpdLbGfXlfDtABEDk5R8bnjpfLpZwjgRkVzXCvhufT01P88Y9/BICt1qfaRmTJOZlMbqbgWq2Gfr8vv2uaJl0Sjpe8fv0aZVliMBgIyuMjoPxco9GQQycdqVqjGraoKL442MZDms/nwmMDEGNSw7HKBF1lsY4kqGIXifXvcDgEADx48EBCq9obVicnGZWYangm7OeSW+AeWSZZliXPIc9mMwyHQ8RxLGmN17z4UAFTy40UzJ4nh8lIhnOig0T4y5cvhfhnSCdzxdYaLZRo8iJ/TCKeo7XqOCx7wywrXNcVK1YfZ1ENSG1ifGyp+ZAhlvwvQdJwOJSQq6JeTl8AkK944srzfOurDRlt6Mm1Wk2e+aX8i8UCs9lMviaDEYOyMSXRAS4a98V1/39duePr/hvf7/i6V/AdX/cKvuPrXsF3fN0r+I6vewXf8fW/esRTYBaueKkAAAAASUVORK5CYII=\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 96\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 97\n" - ] - }, - { - "data": { - "image/png": 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x5cW8OI51sjIYDIjjWOtvkxpLdSi8/0m1/UTA5WDNZlPZ1P7+Pg8ePGB/f59Wq6Uv9cgB+/2+0lxzevpbwwehsEJg5vO59tXn8zmXL18mjuOVJqVkEnEX4RASKEXQpwZuTjvEb2Vi2Ww2lZJWVaUsrSxLDg8PCYKAZrO5QnbknRqzNSyRO01T8jxXRgjw3XffsbOzoxnCfB1MensythJC9KcQGHMDMSdpKfV6PZrNJq1Wi8PDQ6bTKVEUaXlZ17WSF8n5tm1zdHS0Mog0ub50WrMs4/r161y6dImDgwNVgrieWKC8fGC+XW3WEo/FdlIQ+P+6ntv/ofAC+PO2XgB/3tZzC/x/AVrkIO2EAsciAAAAAElFTkSuQmCC\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 99\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 100\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 101\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 102\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 103\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 104\n" - ] - }, - { - "data": { - "image/png": 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jer0eR0dH7O3tMR6Pmc/nvP7661y9epWlpSUAxd5kFJufogbn8zmTyQTP80iSZPEY39zcVJn54cOH3L9/n/l8TrPZxHVdFV+ywZ/nOdvb2+zs7NBqtbh48SLj8Zjj42P29/eJoojPPvuMwWDA559/riTq2toav/vd78iyjEajwdtvv602K6TzIvVangN/VouSc4TUVCoV4jhmeXl5MeClUkkdCGi1WpydnbG/v8+NGzdUZpYEk2WZoqeWZdFoNNjZ2WF9fZ233nqLwWDAwcEBjuOobadiA+Ly5cvUajVV1qrVKpVKRe26PK4MhZUJkyyVSpyenmJZFrPZTCXDv4jtScAHg4EiCZcuXWJ7e5u9vT3VXhL9KxRWWr9yFEQWxXEcVXZERRUrhPTIpHtTqVRUk6OovgSonJ8pHhGZTqccHR3h+z6lUgnDMBav43fv3iVNU9bW1rAsi5OTE7Is49vf/va566TkFHWyJB/R5r1ej+FwiOu6qt5KhpbdFkB1XwWo0FJpbopekKQm4fbgwQP+9Kc/4Xme2rlptVqLAT8+PiZJEnq9ntLEn3zyCT/4wQ/odrvKvSeTybnmXhiGyv2LSVAmKsCLvTJpIMo1AlyalBLHAr7YkBgMBnz00UdMJhOWlpYUn6jVaosBFwUlkxJF5rou3W5XbQ5I0imWF1FS8pIYLbIsAShuLoRIMrJIz0qlcu5oR5GeOo7Db37zm3PEpdFo0G63F8/q8hAZQlnhkVaXUibKS8A8vsMqOyWA2lVZWlpSW0hSOYrVQZKeeIpYvhjvQRDw29/+lpOTE9WxlSMpf+1U9t/8X0hFkiCJZT6fqz0uiW1ANR1l71ya/s1mU6k1SWrSLpIFlXgWryjmjeIC67qO4zgcHh6qcJLWlBhA9s+fGriAlQmIaoJHG4ppmjIYDJQVxbpibXFf2YqSUHn8/Jo8q2hxcXe5VhZY3F16cr7vq1CSUicHF2SuTw28mEiKWVTKlMRUr9dTZ1aK+9XFOJZ3kbYypBTKghUlZtE7ZMGKPTc5eiJekCQJ0+kUz/PUvBcCXnS34taNWEHTNC5evEiSJIqYFBdM3E4mL9vDcjKxmNmL1wMKuICVnVjLshQxOTg4UDJU5vpVx0wXAl50LWFJktiksV/c9JedS8moQRCog7WyoRdFkWpeynicsAiIMAxVM0MqgizY/v6+8jAxjMxVdlQWAv54ZpQ4l6RR7LiKVp5Op+qQkK7rqisqRz+SJFFHs0TLy8EB+SxbymJ9oa0iiTVNw3Ec1T4uVpBirD8ps//NwIv7WY7jqDoqbl/caJB2b6lUwvd9HMdRgAFldaG3cqDv8baW1G9A8XU5YHh0dKR6gMXvFRfiSRZ/8V9Iz9t4Afx5Gy+AP2/juQX+/yiJQizKLStVAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 105\n" - ] - }, - { - "data": { - "image/png": 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5FAMzDEPYO9a5HccRVN5oNC6n4GvXrgmS5kLYto0kSYROVOuXnAzdkud5qFQqODw8xPHx8UpBgjsa+Aqt7+7uwrIstFotNJtN1Ot1oSn5G1oy8CJ/pUHwelEUrczlogoGIBy5ZVlSHcvzHI7jwLbtlbo1MQVfzWYTANBut6FpGra3t+F53krhAYAY/ebmprj4ra0tOI6zUuJkcYK/d11XFM15xHGMMAzhed7lFLy2tgbXdYU2pFIJDJg6kUXiojqOg3K5DE3TMJvN8PDhQxiGgVqtJp+r/LJlWahUKhgMBhLzj4+Psbm5iSAIhCsm4c5B10hUS9aHC/Sy9EEdqpGy5On7PjzPQ5IkK/w2ZSVrZhiGgEry0o1GQ7wCeQHK6vs+6vU6kiSB67p4/vw5hsMhvve97wF44ekIDtWOEbWxgiFS13UBvJdSMH0/AERRhNFohHK5DM/zpF2EQEAtzqux6O9//zvm8zmuXbuG5XKJtbU12XHkmHVdR71el8rUzs4OTk9P8fTpU9y/fx/l8osDAAQ+wFcp0PkKEkHIfD6/cAxmjGQ1qdPpAACazaaAG+5ktWLEWGmaJs7OznB0dCRGRzdPz0M+3jRNrK+vS8Vqb28PT548ged5uH37toQDtVmCRk2Wjr8ljVyv1y+nYCqPC8nyIF0H3wewsrPoRk9PT1fQZLVaFatnPKeVBkGAWq0mJH+5XMbz58/x5MkTfPTRR0I+0HWp9VeVq2VdWI3/rxpqaxEXkHkoXSLXg2kU50Am6fj4WOrC9AAAhD/nBmB/W71eR6/Xg23buHHjBo6Pj2HbNq5fvy5rA3zVFpSmKdI0FUo2TVPkeY6trS251zeNl5K1z549E1bJ931YloUkScSi6TbVXUSldzodPH/+HBsbG9L2QtfMncEdRksvlUpSU65UKrh9+zba7Tb+9re/rbhbtReJ8Z67FniBiuv1Os7Ozi6kYNM0MZ1OURSFgCm1PKrWXNWmQRrDo0ePhLUiwCMgK5fLIjdLnJZloVwui6GUy2Xcvn0brVYLX375pWQSai2eDXdMBw3DwP7+Pra3t3F4ePjtsr1McOZr9Xpd0h2i2fOAgBOazWZSXNja2gIAjMdjVCqVlbjN3cCiBYVnoX8+n8N1XWxvb2M0GuH3v/893n//fXFH7IJgZwURd61Ww2KxwMnJyUstWx2LxQL1eh3j8VgKBcxLl8ulgMs0TcUrME2hbJ7nod/vC2Lm79SOUsrKjCMIAnQ6HczncwRBgPfeew+Hh4f48ssvJcdn3GWK5Lourl27JuXIg4ODy3d0EFT1ej2poBRFIbuZyI6F6jAMhYzf3t7GYrFAr9cTxREkqa1AtFDufraqEiUCL2JhGIb461//KsjcdV1Rtmrp8/lcGgwuWmxgesTOCu4+LrDaGsQeNBL8tVoNnudhNBphOp0KX6D2sqlAUO3GYHpEJOy6LnZ3dzGZTBBFETqdzkqzIw0jTdOVevGl68EEBrzIs2fP4LqutM6oIIbusV6vCxgaj8eIogiVSkVKiGoXIL0BhWbvEt0kCYNKpSLcK13VaDRCq9WSHJ3MFuMmAOmYeNVgxwV/S6Ta6/WEDy6XywKWTNOUfmnOk3GRpMk3tdMCkLBGNtDzPMRxjH6/L2GL1TEC2TRN5d70nJ7nibe7dNtslmXCCzMOs6xHQtxxHAE0atelWj+lIagtQARvnDh7shjvaAzT6VQAWqlUQq1Wk8I3F9KyLMRxLGQBe7QuqmDKqoYKsnQEd+yrIj17fu7AarpFxfOlGhPXh9dYLpeYzWbo9XpoNpuSmjKMlctlKTOq8yGgvHQ1ia6XIIEw33XdlTSAsYWuQqX5aN3sTgAgi8+UYj6fI45jiXlstmMdluCLBf3zLJValVK9wcti08oi/GucUw2GzJba80RXq55GUNOfPM/FqJhysU5drVaF5h2Px1IDH41GYvQ0XGYHDH/8m7FcdfX8+1IKZs43m80E/RmGgfl8LjGB8Yp5JydCF97v9/H06VOUy2VJMYAXllutVmHbNkajkZQhCdLIljWbTWleU1EzXR8XRt31tPaL9kWrR2h4D7XhnDuWWIEy0HOZpildna1WSzILdmUmSYLxeCwNia1WC51OB91uVyhdtWbMdJA7WT0EQBlVJH9pkEVqLEkS9Pt9QYvnUwb1zA4b51jQnk6n6Ha7+Pzzz1EUBfb29oRiq1arcBwHw+EQJycnODs7Q6/XE357b28PzWZTELLjOOLe6O6pEFWxdFsXPbqiAj+VleNip2kqSqaMBEUEQET87XYbx8fHUvAPwxAbGxsIggCu6wo92Wq1JKUi+cGsgidGqDj19APDAVk7GsClFMzCApE0rY2f0dIpIAvQnDQL2YvFAsfHx3j06BEGgwFGoxF2dnZWKkDtdhvj8VjqrKw3+74vcY7EPN0f3SrTNu5qxsaLDp4Y4O/ZIEfvpJIOjInsh+K9HcfBzZs3VzxBr9fDn/70J6yvr6NWqwkLmGUZarWagDq1IgVA0snzJ0FUMMWd+yo5X8nlaZomnY3f1FHPag5RpVpiYx15b28PP/vZzxAEAY6Pj3F2dobRaIRSqYRKpSJ8MwsMZLRoJGRv1CMxKqLlfbmDydNetNigLixRNK/NeMy5ULEMX8QfxAVbW1v46U9/iuvXr+Pg4ADtdhuz2Qz9fl9Kgcw0CExd1105asN7q8Z1vuR6PgW7tII5qb29PakIMfg7joNSqSQJPZXAOM24waK067o4ODjA0dGRdAiSViyVSvJSuyEpOEkW1WJZ8FaPbTJXZC56kcEzRyoJwTnQoOipaDTkiM8fRzEMQ3rC9/f3pYmQR2DUI7dUDjcFd34cxwL2eG0OtajD+bxMzlceXaFVkTtlRYh8K+umRHMqQKHrplK2trYQBAFu3LiBwWAgBXPmreSoGVuYIzP+0IPwHjxJQPfG7/FaF3XTKnACIEbDBSQiVwFYGIZSO2bIUFEuSaIbN25I23GapivzYuih9wGw0pHCzcE5Un6GDr7/sqLKSxUcx7H0CbNNhgk2u//V3JXghtbIMzxqa47KRRMpq6SAihiZGqmKIuihawMgcZkLRAVfFEWTcOG8uYtJuKiFFc6XlTD+hukbgBUQSoPhXAkQuSlUDMHdmGWZeEO6fqZtvD7jscqT/8MKnkwmWFtbW4m9VBLdy3g8lhiSJAkmk4lMljVVCn4esPB6akrDfiMKkqap5MlxHMMwDJRKJeGG6RJpLGoTwUWpyiRJJO6pC6/uYLX+SoMnacF6Od0ujUKlW9X4SY/A+9AYWQtWwx29Cbs+1dYgNTe+lIJZuaBF0YroToIgwMHBgbiI4XCI09NT9Pt92LaNtbU11Ov1ld4sKpXnfs6DB+5QHjwjIzadTqUfKs9zceu2bUvjGt05FXtRooOFEaYp9BxEt2ofGQcrRmp1jbtN3V0smhBQaZomZ5Do8tU0j9dhiGCfmHoQXd1o/0990UmSYDgcStuoruvodDpiyY7joNls4vnz5wKQarWaCH14eIhOpyMLpeaz3IWk4VjLJdlBvpbW6nke1tbWpABAXrpSqcAwDCRJIkqgR6EhvmqQbeO5X+7WJEkE9LGkqNKFNHweAyXm8H1fMALnr4ImUqmkfOm1mJWwkKLiDmD1HDXxCUuJl1IwXTArJbQWnm0dDAbY3d2Vo5bValXOEs1mMzmKweOOfLHJneU3GgwnTEF5CItESqlUWqmvsjkvDENMp1Nxh3T7JOtfNXgmmNwvC/eDwUDmR3fZ6XSEdg3DUCo/VASVTEUCEINsNpvyEBViCwIpYhxmKfQCdPdUomqA6pmpSyt4Mpng7OxMclQuSJZlGA6HCIIA+/v7GI1GUgWZzWbQdR2VSgX7+/sAviLzmQeyKEBBuMiMgWoqQERJZfM9cuLD4VDSLtd1ZUdetC9a11+cL+LuYUF9uVxKLCTpQ7dJ4FSr1WDbNqbTKcIwlLmq7l6lWB3HQb1el9MXTJnY6McD8fwtww3XnNehAbFEeykFAy/AQafTQaVSkYDO4558nI/aq6tOjkDDcRzp3WU3g2VZaDabKxwrOyiYQzMWk2tmHKdb4lmp4XCI8Xgs3oGunvO8iIKZ9qgtrLwXsYGmadIYwEc3EMGTYFGLBZZlSV8by5H0LGodXD1JoVbaSGUSwKpNhQwP9JCXUjBRaZIkODk5ke5HphE8GM7jm3SNXGjuTgIoNWfkggJfdYSoSJ2pgNpVyPSCx1SYVvFclJqe8JDcRQYXlmFHbaVRe8iIO7jLCC7Pd7aonSQqGKJXKpVKX2sAUDtb1HYdvqfWkQnI2FFyaaJDpcko+N7eHoqikCMsVAgXVmV3GAPZGH6+c1/tUQK+ii8qFUf0qKYD3CksJ6qpGa18MplId+RFlZznOXq93gqRwBjJwgLdZlEUgj3UlIeKoHx5nkuoIPBSyQ61sMHvqIUTy7IQRZF4CZYUiXF41OdSCj6fV/IQ9tbWlnwWx/HKcRLeTNM0SbHUM7BqjqmeFiAqPH80hV6AO4lMFhkgdjvQ8gl+4jhGu92+sIJ5jzRNcXZ2Ji6ahkl0TkPgkR4idcqotvVQZqZu6u5kDqvr+grdqrpqKp67lmtJGfv9Pr744gvs7OxcTsFq9YIkgCp8EASyKOyqUNtrDMPAaDQS8EHF828203NH0AOowjMcMM0Kw1Ca3M+TLiREJpOJkBEXHZwX59Jut8Wz8JQDAEl11B5pKoIeiIpWCx9qDzh5ACqW3okFDa4Nr0VjpgHzcUumaQpXcCkFc/DidFWnp6crxPv5XVgUhRxorlarODs7k0cPUEDV/dNK+ZwK3ksl/kulklxDLZ1xwem64jiWsuPa2tqFlKvGvjzPce3aNUwmExweHiLLMmxubsoTDpjCxXG8Ujbks0t4dppgi4CKvwMgD5MBIE0Q9FC+74tLptFy3Zgd9Ho95HmO9fV1NBoNDIfDyymYlqV21t+5cwetVgtHR0cwjBcHs2m9juNIiw+fIdVsNlGtVr+WqzF3VF0Zm8R5Pogxm4uldmpQwVQsYzHRNFOYf2Touo7JZII8z7G7u4sHDx7g4OAARVHIWV7V0zAt5MlBppXA6lnq0WgkoJD9ZfV6HXn+VcckDU2tKtEl0zMkSYJer4c4jtFoNFCpVPDJJ5/gt7/97eUUTMsGIAXs8XiMvb09PHjwAIeHh9JvRLDE2MpiABkuPoyTaUCj0VipPpFIOH80hcqkEslYsXpDvpcEAvNxwzAk13zVYMwLwxBnZ2eoVCrY2NjA5uYmDg4OcHh4KLQrD4ITY7AfjKVANj2o1CKZK6Z7TBlV9860JwxD4QcWi4U8RooNkDw+xOaDH/3oR/jii2//n6hdaAcvFgtpU71+/Tpu3ryJ9fV1HBwcYLlcYm9vb8XNUKGk9NgdoXK0NB6CKvV4JMuFKrhgUx5Zq9lsJuAnDEMMh0M5ncDW1X/kQWhRFMnB7Tt37gCA9IINh0OhJCeTCRqNhpyxUpvuNe3rzwVRSQy6WrYe0f2qRswzR+zj4kNo0jTFYDCAruvS3M9D55999tm3y3bRovjV+P9zXD3x/R0fVwp+x8eVgt/xcaXgd3xcKfgdH1cKfsfH/wUL1fGSJeUMxQAAAABJRU5ErkJggg==\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 106\n" - ] - }, - { - "data": { - "image/png": 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IAClUqBU9Jek+r6c+ugVBl2WJLMtweXkppIT+r7+lTGFyjM2XEN7WfQHe/y+kh7feA39o6z3wh7YeLPD/A3NYxuIai+qGAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 107\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 108\n" - ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 109\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 110\n" - ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 111\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 112\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 113\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 116\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 117\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cluster 119\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "fGmzm1zHDRod" - }, - "source": [ - "약 2/3 정도가 쓸모있어 보입니다. 즉 적어도 2개의 사진을 가지고 있고 모두 동일한 사람입니다. 하지만 나머지 클러스터는 다른 사람 얼굴이 하나 이상 있거나 하나의 사진만 가지고 있습니다.\n", - "\n", - "이런 방식으로 군집된 이미지는 부정확해서 (아래에서 보겠지만) 모델을 훈련할 때 바로 사용하기 어렵습니다. 하지만 새로운 데이터셋에 이미지를 레이블링할 때는 매우 유용할 수 있습니다. 일반적으로 훨씬 빠르게 레이블을 부여할 수 있습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "u3afsk1JDRod" - }, - "source": [ - "## 11. 분류를 위해 군집으로 전처리하기" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "oDtX_TAmDRod" - }, - "source": [ - "*문제: 올리베티 얼굴 데이터셋으로 계속해보겠습니다. 사진에 나타난 사람을 예측하는 분류기를 훈련하고 검증 세트에서 평가해보세요.*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "7FijK5FgDRod", - "outputId": "5a84620a-4fb1-455a-b575-659207065fa9" - }, - "source": [ - "from sklearn.ensemble import RandomForestClassifier\n", - "\n", - "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", - "clf.fit(X_train_pca, y_train)\n", - "clf.score(X_valid_pca, y_valid)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.925" - ] - }, - "execution_count": 200, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "-xW4AGS5DRod" - }, - "source": [ - "*문제: 그다음 k-평균을 차원 축소 도구로 사용하여 축소된 세트에서 분류기를 훈련해보세요.*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "US-2Y0IVDRod", - "outputId": "863d6460-39c6-4cd2-8891-352075880fb6" - }, - "source": [ - "X_train_reduced = best_model.transform(X_train_pca)\n", - "X_valid_reduced = best_model.transform(X_valid_pca)\n", - "X_test_reduced = best_model.transform(X_test_pca)\n", - "\n", - "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", - "clf.fit(X_train_reduced, y_train)\n", - " \n", - "clf.score(X_valid_reduced, y_valid)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.7" - ] - }, - "execution_count": 201, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "IuZ6mOjGDRod" - }, - "source": [ - "윽! 전혀 좋아지지 않았군요! 클러스터 개수를 튜닝하면 도움이 되는지 알아 보죠." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "7ZR1CDrHDRoe" - }, - "source": [ - "*문제: 분류기 성능을 최대로 만드는 클러스터 개수를 찾아보세요. 얼마나 성능이 나오나요?*" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "_WSXt_HBDRoe" - }, - "source": [ - "앞에서 처럼 `GridSearchCV`를 사용할 수 있습니다. 하지만 검증 세트가 이미 있기 때문에 K-폴드 교차 검증을 할 필요가 없고 하나의 하이퍼파라미터만 탐색하기 때문에 간단히 직접 반복문을 만들겠습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "382Nn0LpDRoe", - "outputId": "aa8e85d5-9e26-47b1-a349-c167e16387ef" - }, - "source": [ - "from sklearn.pipeline import Pipeline\n", - "\n", - "for n_clusters in k_range:\n", - " pipeline = Pipeline([\n", - " (\"kmeans\", KMeans(n_clusters=n_clusters, random_state=42)),\n", - " (\"forest_clf\", RandomForestClassifier(n_estimators=150, random_state=42))\n", - " ])\n", - " pipeline.fit(X_train_pca, y_train)\n", - " print(n_clusters, pipeline.score(X_valid_pca, y_valid))" - ], - "execution_count": null, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "5 0.3875\n", - "10 0.575\n", - "15 0.6\n", - "20 0.6625\n", - "25 0.6625\n", - "30 0.6625\n", - "35 0.675\n", - "40 0.75\n", - "45 0.7375\n", - "50 0.725\n", - "55 0.7125\n", - "60 0.7125\n", - "65 0.7375\n", - "70 0.7375\n", - "75 0.7375\n", - "80 0.7875\n", - "85 0.7625\n", - "90 0.75\n", - "95 0.7125\n", - "100 0.775\n", - "105 0.75\n", - "110 0.725\n", - "115 0.7625\n", - "120 0.7\n", - "125 0.75\n", - "130 0.725\n", - "135 0.725\n", - "140 0.7625\n", - "145 0.6875\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "7ql62xwcDRoe" - }, - "source": [ - "클러스터 개수를 튜닝해도 80% 정확도를 넘지 못하는군요. 클러스터 센트로이드까지 거리는 원본 이미지만큼 유용하지 않은 것 같습니다." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "zS-9reNSDRoe" - }, - "source": [ - "*문제: 축소된 세트에서 추출한 특성을 원본 특성에 추가하면 어떤가요? (여기에서도 최선의 클러스터 개수를 찾아보세요.)*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "lORga8U3DRoe" - }, - "source": [ - "X_train_extended = np.c_[X_train_pca, X_train_reduced]\n", - "X_valid_extended = np.c_[X_valid_pca, X_valid_reduced]\n", - "X_test_extended = np.c_[X_test_pca, X_test_reduced]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "zHFnDE4iDRoe", - "outputId": "60d99ddf-48b1-42d2-8c9f-e68d91c98714" - }, - "source": [ - "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", - "clf.fit(X_train_extended, y_train)\n", - "clf.score(X_valid_extended, y_valid)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.8125" - ] - }, - "execution_count": 204, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "8jEDqF1hDRoe" - }, - "source": [ - "조금 나아졌네요. 하지만 클러스터 특성이 없는 것이 차라리 낫습니다. 이 경우 클러스터는 분류기를 직접 훈련하는데 도움이 되지 않습니다(하지만 새로운 훈련 샘플을 레이블링하는데는 여전히 도움이 될 수 있습니다)." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "syckFiy-DRoe" - }, - "source": [ - "## 12. 올리베티 얼굴 데이터셋을 위한 가우시안 혼합 모델" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "f8oJXYriDRoe" - }, - "source": [ - "*문제: 올리베티 얼굴 데이터셋에서 가우시안 혼합 모델을 훈련해보세요. 알고리즘의 속도를 높이기 위해 데이터셋의 차원을 감소시켜야 할 것입니다(예를 들면 분산의 99%를 유지하면서 PCA를 사용합니다).*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "CWFx_gwbDRoe" - }, - "source": [ - "from sklearn.mixture import GaussianMixture\n", - "\n", - "gm = GaussianMixture(n_components=40, random_state=42)\n", - "y_pred = gm.fit_predict(X_train_pca)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "oQNW_sOmDRof" - }, - "source": [ - "*문제: 이 모델을 사용해 (`sample()` 메서드로) 새로운 얼굴을 생성하고 시각화해보세요(PCA를 사용했다면 `inverse_transform()` 메서드를 사용해야 합니다).*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "nMPG5j_EDRof" - }, - "source": [ - "n_gen_faces = 20\n", - "gen_faces_reduced, y_gen_faces = gm.sample(n_samples=n_gen_faces)\n", - "gen_faces = pca.inverse_transform(gen_faces_reduced)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "elDGNRWiDRof", - "outputId": "6f2f88fe-1ec5-446b-8552-95c0c39d1c99" - }, - "source": [ - "plot_faces(gen_faces, y_gen_faces)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "lmwNttHXDRof" - }, - "source": [ - "*문제: 일부 이미지를 수정해보세요(예를 들면 회전, 뒤집기, 어둡게 하기). 모델이 이상치를 감지하는지 확인해보세요(즉 정상 샘플과 이상치에 대해 `score_samples()` 메서드 출력을 비교해보세요).*" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "TcuM2sPeDRof", - "outputId": "35e4a923-e42e-447b-adcb-a6e998223c3d" - }, - "source": [ - "n_rotated = 4\n", - "rotated = np.transpose(X_train[:n_rotated].reshape(-1, 64, 64), axes=[0, 2, 1])\n", - "rotated = rotated.reshape(-1, 64*64)\n", - "y_rotated = y_train[:n_rotated]\n", - "\n", - "n_flipped = 3\n", - "flipped = X_train[:n_flipped].reshape(-1, 64, 64)[:, ::-1]\n", - "flipped = flipped.reshape(-1, 64*64)\n", - "y_flipped = y_train[:n_flipped]\n", - "\n", - "n_darkened = 3\n", - "darkened = X_train[:n_darkened].copy()\n", - "darkened[:, 1:-1] *= 0.3\n", - "y_darkened = y_train[:n_darkened]\n", - "\n", - "X_bad_faces = np.r_[rotated, flipped, darkened]\n", - "y_bad = np.concatenate([y_rotated, y_flipped, y_darkened])\n", - "\n", - "plot_faces(X_bad_faces, y_bad)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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ZVKPR0NHRkcX9WA4AMZh0cXFRo9FIzWZT+XzeNpm/EVom6zEdrxzZVN6xubmpSqWiF198UXfu3NG9e/e0tzdb/zSPCfFOBK/b7ZpXQ+jU7/dVrVbNA8LzyWazWlhY0Hg8ViqVMo+LkAKFi/fBe4jRAQ6xXHhtKCmvoBFi1nkWymazU6ERSqbVamk0Gqndbk9hTmBhhUJB5XLZPCeUKF4SfxO6+rDSA/N4j51OxzAR4IFkMmmKeX19XZ/4xCe0vLysMAz14MEDJZNJzc3NaWlp6cw5gn2BgxGeLS8va2NjQ6VSSSRv2HeUs3QS/nnewKjAez5U86E9+A7GBMFut9u6cuWKXnnlFd25c0ftdlv9ft8MHYo5ioedRZVKRbVazcL4559/3kK2wWBgeA8K2sMlPtkBZALsMRqN1O12LUpBvjw/osgxQsAKrId0Av14Hi0Wi/r4xz+uVqulq1evPnJuM4VvWIbBYKCDgwNVq1WLR3u9njF1MplUr9dTsVhUIpHQcDhUrVYzoSHUKJfLevfddw1I7/V6arfb5g5CHgglbOPnbDjKinh2YWFBzz//vNbW1nTz5s2ZNhjlClOwkHgxnU7HsJhOp2NYSqlUss1fWFiQJPM05ubmpsIjv8m42HgfKB42mTkmEgml08d9xGAOhAmviTBnFiqXy1PzQ4BarZbS6bQSiYQWFxfNWqJYvDX3mVhAzFQqZWuEx5lMJpVOp23eKEO8QTwGQjjeUSqVlMvldPPmTd28edMAVxTISy+9dOYc8YgWFxe1tram9fV1LS8vm0eLYOHxj8dj4x0ULeNnzN478FkqPAeED8UMX8K38/PzWlpa0urqqi5fvqxaraZarWaguCTDq2ZNWiwvL2t/f1+7u7tKp9O6fPnyFJaL14XHTSiLEel0OuZVEqEMBgM1Go0pniJJBWwzGAyUyWRsznyGfcc79t+D56TjZEur1dLh4eEj53amUmKRccnb7baq1ar29vYUBIGuX7+uQqEwhbiTbUFg6/W6Wq2WIfmg+c1mU0dHRyYEeCVRy8rCIpSQt1R4Wt7tTqfTev7552fa4FwuZ/PFG8Sj8Z4bXuLOzo6lyJnX0tKSeYRYXywVng9gcBiG5pF4QBxPQpKl2KUThQRj4XUCmrPx5xHhrFfq29vb2traUqVS0erqqpaWltTr9XTv3j1Vq1V1u13l8/kp5cu/2ZvBYGDeCd4USn1+ft7WFQFhXZrNplKplNrttmKxmNrttvb29tTr9ZTL5cx79J7LefTKK69odXVVq6urWlxcNDyJ8hTpGCRutVoGQKNgvdEAI0EYo2C8pKnvoZzw/ADBKQ9gzxYWFlQqlbS7u6v9/X09ePBAmUxGuVxOlUpl5rkWCgUlk0ndu3dPn/vc55ROp6e8T0J0cCE/zlgspoWFBcv88nvmTAjqsV7mjQyihHzmznubeGJEDih3El1/9Ed/pN/6rd86dW5nKiXSw8TzjUbDsidsymg0Ur1e13A4VDab1e7urhYXF01QSH2DzfDdfr+vdrutdDptLixW1WedPK6FIHi8woN23psihJiFwAv4HlYcVxjhH41GarVaplhRCL1eT7VazeaNxcJaeQtCFg3mIUULkN7v962kgMwKzwLvAIsj6zMr0M33MALNZlOtVkvScfr+wYMHphwajYZ5iq1Wy5jLCyQhEpgDwk/Y5kMjvAesODhOq9WaykglEgm1223zwEjl+7DyLPrlX/5ly356/pGOjc79+/dVq9W0tLSkTCZja+9LFsCgPCFwPkngPSc8AYwjSQUMNmAz6xMEgTKZjB4+fKidnR01m00rTZmFqE/K5XL66Ec/ajzKWmLI8FiQExSW96IYI94hzojHt5BbPERC2mw2O+UVkbSRZO/wWCRruLq6+si5namUms2mDYLNq9VqltpsNBra3d3V7du3LeOG4qnX65YC9x4QE+j3+zo8PLSJA9r6bIAPc3A1iV0RChY1Foup0+mo1WrZ92YlPkvhY7VatT/NZtMsNsqq3+8rnU5PzaXdbls46utEYGbCQx+OsD54S1gulCRuNRiS9H6cj9qhWQjlxXrl83lVKhVNJhOVy2XdvHlzat0oFCS89ZgBn0N4sb6ErQiG9zYwPHgM6XTa1sITRmo4HKrRaCiXyymdTptSPYtI5YN9+FB0a2tL9Xpd169f1/LysgaDger1ura3t9XtdpVOpw16QKkxX+8JQB4j5P8eF2JPIYwTn5mbm9OlS5dUKBT07rvv6v79+6pUKjPspPSHf/iH+kf/6B/ptddeUy6Xs2d6zxsPjTWg2FWSZRJbrZZqtZp9Purtw7f8HPwQRYZyBX/0yh3Z9Lgc6/i5z33ukXM7k5uJ92EI4t56vW7u3+HhoVqtloU2i4uL2t/fN21JMWFUiNgwvA5Cu6g19sV4LCb4C5YQEJLP9Xo9zc3NzQwcIlBheFzpyxwlWWYJoQJTm5ubU7fbtVCGKnYsnbegvqTCKxvv7voCOq+Q8dyOjo40Ho8t/eqB8ccBSJkveFUQBGo0GqpWq3r33Xe1vr6uMAyVz+fVbDZVqVQMQEXxIqwoZY9ZMD48JebLZ7wHApNT1Aj55Ea73dbOzo7S6bSF2WcRvBr1kg4ODnR0dGShUiqV0uHhoW7fvj2115lMZur93gP0oYx04j1hOFBSPhz3yQvq0Hw0QMiUz+f1zjvv6MGDBzPt4Y9//GMtLS3pc5/73Pu8IN5LXRhz6PV6ljDIZrNWzgB0IsnAd2QMELvb7WphYcFOVJCtQ/EvLCyo1Wqp0+mYAsSIsR8opiAIzqw5OxdTQhgJmVqtllqtlubn503L4qHcv39f9+/f1+LiosrlsnkM1O2wkSwcIRaLBy4FphN1O305vwch+QwKAmD5cYjFw0KmUik7igAu0u12Va/XVa/Xlc/nDR8C8B8OhyZojA8rxfr5TCYeBRYUbAamgZEBhLFOZPkeVyH5wjcfUo1GI73wwgva39/XtWvX9Oabb5oX0+12TYjxVLwQ4g1GhYJQDFyDfcXD9VlZSVOlDXjnvV7P1oHw/zzKZrPvs/KsP+Upc3NzOjg40P3793VwcGAeSzqdfl/NGjzr/zA/nwBgXfi8xzxR0siTTzKg3OPxuLLZ7MyQA9gPIZMfJ7/3yaB0Oq1ms6nRaKRSqWTyFo/HLZSnBAQZAprAUy8Wi+bFUhKTzWZNqY9GI+NT1iNah+Wxt0fRmUrJp8gBfRHMfD6v4XA4hb80Gg2NRqOptCwC52NqBBUNzcKSWsU9xMqQsWEyvnYC95nF5x3S6WesHkUwhz9rdnh4aJsB2D4ajUwBUcfkvQNqO6IeAWlY5uYVk1fEmUxGhULBKsZ9JTRgLd4UHka0APFRhFLxIRgKYmlpSb/0S7+kzc1NPXz4UNVqVbdu3VIQHFckF4tFU1SeP3yxoveeYDqvuNhfigf5mSTjEUlT3ma/31ehUDD86TzyzI7wsweMK51O6+7du7p9+7ZBD4PBQJ/+9Ke1vLw8lQWVTs4ZeiXl34ESlWS4Y6PRMAPjFTXhDCE4EYIkO54yC5XLZV2+fNmy4D7CkGS86E83jMdj7e/vm7e/srKifD6v3d1dvfXWW0qlUspkMnY6Ynd318p8WI+9vT3VajU1m03DGfGgyGpSzoNi9CFwFBQ/dQ/PmjgAK8yB4CeTSX32s5/Vxz72Mb377rv61re+ZTF5s9k0C+KPTcCEvqIZENmHNZJMoVFkR30NWjiXy5n3xSLwXYSA0GcW4jgLVbCdTkcHBwfa2tqyhe50OlbkJ53UepBWDoLA6nywjj7zFM1AoYRZC/AXcCmPsXmMrlwuWwYO5TQL1iLJEhYIBthOPB7X3bt3tbOzYxmclZUVPfPMM4rFYmZkAIC9cQEQB9z3GVvwRfacc2Nra2taXV21fZ6bm5sqSPQeRr1etyLVWfdSkgkG8wbAL5fLOjo60t27d3X//n1tbW3ptddesxDVe1oewIai4LDPFgNvVKtVtdvtqXOCQAz+ZAAGHY/DF1WeR88++6xVi/t1Y3/hG0kWemFUUGTvvvuuEomE7ty5o729PU0mE12+fNnGTEj/qU99SkEQmNwRit27d88SPJlMRpubm8a7rBuGiDX1FfOPojOVEh6JBzkpgrp27ZrW1ta0uLioarWqw8NDUxgwBAMjJPLegy+YZPAIQDKZtNQptRVsYKVSMQYFyEMp+IJAgNZZyKdE+T9KgecQRi0sLGh5eVnPPvusVSQT4uH14dHAwDAMlssXrnHcIplM2ubiifl0LqHk5cuXrbYF6zhrGtnXHAFYklr+9re/rVqtJrolTCYTra6uam1tzXAkQjjvFTYaDaXTaVsjSabAfMkGNW5vvvmmJpOJlpaWjB8IYREa72UNh0MzdLNkpvCMWDv+nUgk7LwV1frwYLPZVDqdVj6f18HBgZU2YFB96AZf+0JfBJ36G38ujfo7ZAivq91uW9iDl4mnMgu9+OKLU6cEMDQA3V5ZIT9zc3PKZDKan5/XM888Y+UtCwsLWl1dtcTWvXv3pmT96OhIg8FA3W53CtJYWlpSLpfTysqKLl++bAWd4E0obmCLKM73SD4965e4ndLJ8QTpOBX9ne98R41GQ/1+X3fu3LG0sRcYMkuAYWhLlAkTB90nFZ5Op+1QJJmuRqOhWCxmh2dB+3kXCsTH+7N6ENE0L8/BCwIQlKS1tTU999xzunz5stVk+cO2/vgAHiaM4ZUbID+eFyfWYTI8hyAILKx55513VKlUVCwWVSgU7FmzeoQ+k4kBoOL59u3b5pHCnPl8Xpubm7bO/kwYbWUQUJIbWGRKGzzWR4V7vV5XrVZ7X+jBmADIAZ7xuB43o+rDmU6no3q9rk6nY5X4165d04svvqjf+I3fUDKZ1OHhofb29sw79rVY0okHh1eNspNkyYKjoyM1Go2pspX5+XkD2FHAw+FwynOhUHXW4zTr6+umMKNlCVGPczKZWEcLsq3JZFJXr17VysqKJRPAiwGrvUdMseVkMjHcLZvNqlgsanFxUevr6+r1ejo4OJg6euMTPWRG2Z9H0UyYkj8tTUVvvV7XX/3VX1kLh/39fQtHcPMB46jSTaVSxhgUzuEV4eKSli0UCnZebjgcam9vT+PxWNevXzdPifd5cM0fB5g1Ve4XiFDTZ7Y81kWYRhYCBksmk6Yc/KFlFBGKxtf+cHg5mnZnMxkLldZzc3O6efOmyuWynnvuOXvP42BnHhdh7Tc2NqxQUpKdzM9ms9rZ2bHuAB6YPTw81P7+vp1+73Q65gkSWrOOvAtvazwem1LCiDEuQh6fTSXU90rmvL2Meo88F4s/HA6Vz+f16U9/WuVyWZPJRHfu3FG1WjXlQZjigWrCbbJajFWabifTbDat2vqZZ55RpVIxrFCSQR2EtXivs55jpBAWPJZss/difdoegHo0Gk2FwtQ6EX63Wi2rO4SGw6FKpZIZaBQSBcRghNVq1eYSPZ7iEwfI/aNoJk8J95PDjWBDWAVOkPf7ffvM/Py8SqWSVldXlUgkzKWlipi2H4RrCEi5XFY+n5/ydLa3t1Wr1fT8889byANmRXbA12XAKI+bKpdO2jlg0WA4cJIwDLW/vz+l9WE0n/LEExwMBmZ5GDtCgbuOQvJM5IFxPJpyuax+v69bt24pm81OhXKPS977WVpasozM2tqaDg8PdfPmTfPkXnjhBWNqcEWyrt1u1/a80+no/v37arVa+shHPmL762utCFMkTR1N8VkZDIIkCxVO6yhwGiGAeL8egAYvhEdarZZu375tPFir1Wx+vjzDZ9JQaiQ0eD6fITHDeIvFotbX16cKiuETwjiOL0maCcyXZDgchtJ7NYSZPtOLAa1Wq7bGGE6fvaYiH4/Jd42Ix+PK5XJTBa0os263q52dHVPW/gQGYwFvPI/OVUpMGKAW9xyAjvoEAF68m0KhoPX19al6IZhrcXHRmrdJx64vGjca/uElJRIJKxLb39+fyvYA6sFEMOGsHgRWxYdxPnMjaUopJJNJA00XFhYsNPHFnYPBYCqryKYgyHgSfMd7UT7j6ZXixsaGyuWyeYPxeHzqOMp5dBr2FIvF7Dzi4eGhPvOZz0iSvvnNb+rWrVtWQ8Z+0EeIsATchXCz3W7rxo0bCsNQq6uryuVyU0c1wBXgKaw8QgH47Us0qC6eBQT24anPxC4uLlptHXxK0evu7q5heYzLh5KQz65yVhD+8a1owFbX19etQwYeI3vAunP2DHxyVp5ljTwgfxrgzd8+21etViWdGFqgD7Ag1qBWq5kHTRYWr5Ksbzwet6Lq/f3992W+fdmKLwc6y+s9Uyn5DUFA0dA7OztKpVJmYQeDgbLZrCkWskT1el2j0fFh3fv37yuXy1nXv/X1ddVqNd24ccMYgcVDi1M4eOfOHc3Pz6tSqUy1m8B6eQsZHfsshJCTDcpkMiqVSpaqJ8zpdDqmhHBhE4nElMdDqIFn4PvuUIRIWOctuW/f4j0lLF4+n9fa2poGg4GlZZeXl99XET0LEZakUinlcjlduXJF5XJZGxsbNo9vfetbZolv375tyokGZmRjsIwU2oZhqK2tLd27d08rKyvG/HNzcyoUCoYxgnX4Q7yE8h4roQxjFk8JQcXzgh/S6bQKhcJU6xRwvWazaYYEJZvNZi0M8eUwZBPx9jzoTfhL+p15EP77Q6wUHCIb/lmzEMA2e0nJA8/2ZQy+/IJ9qtVqxufwG8onDEPt7OzonXfesTAbrw7eZ5zdbldHR0fa39+XdHL0jCjDZ5yBJXxN2mk0U/HkaT/H4q+srGh9fd1Cs6WlJWWzWZVKJQNNY7GYdnd3zYuYm5uzmLjX62lra8sWCMWA0FIr8fDhQ00mE33sYx+zE99YT06Z0z+bEoFZrQ7VrnyezAL1JngJHHcA7KMxGCEICglFiaKBkdl8r5z29vbMS/RHFvD+fHHhzs6OhYO1Ws3qiwqFwkzz9Jk6X5SaTCZVqVRUKpUUix0f1wH4pB85wHWhUNDCwoLhfj7T2e12VS6Xtbi4qF6vZ9gE4Xk6nVa5XFapVJrK6sDgjEXS1Hd6vZ4ymcxMmSkfwnhPnyQMoQfKs1qtamtry3COeDxuhZQIKkJGVrZWq1liBiyR9ssoaT8f+NFn71AUnHBgXx7nFAJhPokfSlu8UkZxoRRQyigTjDEhaa/X0/7+vra2tkymfE801gSlQ8bRRwZU1cMbzB8ZQMk9is71lKgm5vAo6e58Pm+FVGtra6YocL9Ho5FhR/l83vAlPCmYD6tPShxXFkAUxSCdVKlKsiMegHO4+VgjFMQshEUmo5dIJMwbiHowPmyE0cjmMC5wCc7J4VrDhJTvt1otPXjwQDdu3FA2m7XGY4Rnkkzx4vKmUimtr69bZrDZbFpLkvPIF/EhBP5cUhAEllAgTAYIRthgJjxKKrP9dzY3N3X//n2zkh7oZG/Acfy5SB9ueQVFVuoscBSiFMAfTyJUunTpkgkEz8zn81bHQ3ZqaWnJBIkQJQyPOzj8+Mc/1v7+vq5cuaKVlRXz9vDiMFokiPAI8P4xNGTe+L0vn5iFfK0az8G4UqLhlbok85Y6nY7hXsjQ4eGhDg8PjUcuXbpkx3wo6CV6YR/39vamlDZ/41x4BYsz4hXlI+d21i99Ch/Aj5/R75jYv1Ao2Jmx3d1dVatVHRwc6Pr161pZWdHq6qpZVzaO7oXLy8s6PDy0M2seUGy1WlbURYg0Ho8t69Pv99VoNKzqmjHhMs9CCA+WBuHPZrMGSsOkLKo/4xS1BtQZ+fIAlAFgIgAwAOvBwYGCINDy8rKFMB5f8UrKn92i7ccs5IXfj4t/IyAI/+bmpl566SXDT/AAfMkCTOhruDY3N6cKHhFs70GgZPwBVRQRYTxhU7/ft5DrPALExjiRnKD4b21tzbBR9oNkzOLiooVteLy+k+jR0ZHeeustXb16VaVSyXgYoffYEeTBYLxcPG8EFQNGPc8s5Gun4NfRaGSdD/BckVeUYhAEJmfD4fGJfjyt0Wik5eVlraysaDweq16vWyYSb6nT6Zjymkwm2t/fV6lUmuIFvFB/rInaNY4NnaWYzm3yRhUxqDnFf0EQGC4EIFgsFm3wi4uL+uQnP2nntJLJpKWVcf9A8JeXl3VwcKD9/X3r3T2ZTCyzF4/Hde3aNYtFYWTcYdKUhEaeqWchlAl/yDQuLS0Z0Etoh1ICT/I9k/w1SKyRr/Pi//6oSbvd1sHBgeLxuGq1mhUJ0qsJBqR+C9xuMBjowYMHun37tubm5vSpT33q3Hl6PMP/P1pkmEqllM/ndfXqVSuGRVCZR1Rx4M7H43HDvlAAjUbDEiS4+FHcAe+GffV/8DxmIV8Z7udL6QWpbbwWr1AwvL5JH8+p1+sW2mE4wAzxWvr9vgmo7/CAN9Vut23fOa5FGIiymFUp4VXhKdHFlWQDe8p6gEtKJxhUPB5XpVLRtWvXdPXqVTt7mUqltLOzY8qYtS+Xy1paWlKxWDRlR9ImFjvuHcUeey8ZD2k0Glnl+lk0U49u/u09ETwIFoDm8CyYB2t9Z0QPvPX7fe3s7FgsfvfuXY3HYy0vL9tG8z7CGOJcf3yDgjhfvAioNwuB8ZBRxB2mVgow0mcW8KxgbgTHW36fyfPxNALJhgEiUruFUJGpAlwkSQAAn0qltLe3N3P45j0qX3HrK4CZA2GAVwy+hoo1YE/YT9x5PBSyiZJMuWMl+R7C7b0p1s2/bxYjg2BCHvSNhoHMnSNU0nS/dogwLAxDvfbaa6ZE0+m0hfAoMMBiX1pAdurw8NAUJEaH97EfsyYtWBdCYQwjBYzNZtOiD3BNxgSmtbCwYBX7tLHmWdJxxtkX+YJ7+hA1k8kYvOK7fjA2PLdEImHeJQrqUXSuUmKxsYZYM7yZyWSilZUVJZNJvfPOO1NHKRBGBItQh82gnw3nmzqdjn7yk59IkoGuuKK0r9jc3DQlwvvZJDIlvGNWoNuHVr7mCbeYalwuq0QZt1ottdtt23QvENG0NBgX3lQikbACxWeeeUY3b960FqHMY25uzrwj32iP+9VYm9NS/Y8i1sXX2BA+MF9qoShypUzDA/nSiXIGF8LjPDo6UrFY1PLy8lRdCusM3gLm4S0pDAxTe2s9i1KKrj/j9IrNA/w+pPQ4FmMdDAZWuU97mtFoNFUgzO8xarlczsBv5kjGlZAV40xBpy+9mYX8XJAt2u4kk0nDJlk3ZAZD32g07Cznw4cPDTfECCOf7G8QBNrZ2TEdwD7Trz+VSllrFM9f3W7XIp5cLmc1bWfRmUoJBkwkEtY/iD+kB4fDob73ve9pMjm5SgehglFRShwZgRnwMKgXASSuVqvm7lM/sb29revXr1s2D1cbwfSbiWKcVSl5LwDL5ntL+zNDnOnyICaW01dtEw6wid7b82BrJpOxKvX79+8bHpfP561PFd7bcDjUgwcP7P8PHz6UpCnBP4u8FUZ5+3qw8Xisvb09DQYDFYtF7ezs6M/+7M9UKBRULBatLgtF4jEVLHCn07EbUAhvmT8N86STinI6ADA2D3bHYifdLWetzvc1MAitP62Od8fzfeiIYvKhKcau2Wyq0+lYtk6SVdkj9F5BkKXyVf0oCIwISnw8Hk+1j56FmA/JgrfeesvOZB4cHOjg4MCKdnmnbxQ4Hh9fkZZIJKwtzMbGxpTnjxLzdWrsebfb1a1btzSZTHTt2jXl83kLx6Prz97u7+8rkUioUqmcqZjOPZCLhfahkBc6LDY4CwqGSlzwJpgeXAIwDO/JVwUTAuAFlMtlPfvss7YJWDA/Tg/Ko0hnxSEA01Eq1BWxoaT/fW0RCptT/T48Y0MIQRBKGNCHJGQaveW+e/euGo2GgiBQpVKZAtQJJX3L3McBR6Njk046PVIAx40zly9fNk+hXq/r6OhIuVzOsqhYXzxiPCt/oNYLPbzj+Qnr7EMq7/mhSB6n7gzB8ApOmhZk3uUrn1FgUQWYTqet2juVOr4qiTIUvlcul630AAOLJ+yxMjwjUuh4NXhJi4uLM88xFotpb29P9Xpd6+vrKpfLJjt8xld8AzfAa76kptPpqFQqWYgNf/u1QVl3u10ziM8///xUWyISRX5tMGKlUsn6kFPXdBqdC3T7QjFvOVqtll0agKWo1Wom1Gwgiwej4b578BjvI5PJqFqtmmtLASKgnCRVq9WpWiRJUwrSA8qzhjWEQ8yZeXvFCmbChoFf+bCCNDk4kScwluiGt1otq/eYm5uzc2YHBwdmqbxFBeuqVCp2m0Wz2Zxpnn4vfM0Mqd/d3V0TWC57mJ+ftzooiiL39vaM2QeDgWEMlEmQifHFcz5j6YWF9LHH3vDAfajoU/xnkT9zhQKPeibgIih1+NUbHW/1Ae/xHjqdjnnLtJRhnngUrBehKWEcYQ5zQSGjlGYpe2Auh4eHqtfrevXVV60XE0Ydz8z30/f4YKFQ0GAwUD6f1/379y2kg9+Rdbwkxktipt/va2Njw7J4PqT3UQvYsCR7VqlUss60p9G54RsPSyaTBmShcFBEKKqDgwOzPgBtc3NzWltbU7FYnOoRnUgktLa2ZlcgU9lLKTtej3R8c8Py8rKazaaKxaJhIDzLZ0k8qDyryy9NH1SFqb0byg0YPhvBRiNsMDt4g4/5sdD8n/NO9XrdhCVaxgAGxZ9ut2sM02w2rWvirOCox1v4P3t18+ZNHRwcaH19Xa1Wa8r7pNgQQ0FNCy1N8HYGg4H1vkboUSaEu76cgBR61Mtljb1H6fHDswhlFDWmZLvAAKlkptiQ5ItPluBNAD2Mx2PduHFD4/FYa2trJuTAFYPBwIpp/R/WyJ+QJ3Hhfx+Px2c++zaZTLS9va2XX35ZyWRSrVZr6rAw/EJ2zBt6jAfhdrlc1oMHD+yUxtzcnOr1uilrPJ52u63Dw0PVajU7sYH36eXC18MRsbCGNIj8/ve/r1//9V8/dW5nSi3nybwVQ/nUajU78gFITXsRwh1fIYo2JetA7B6Px6eaty0tLU3dhUXl8507d8xziMVi9l5qKAgTEYLHqVMiW4QgYk3wTtrttmXHCOuSyaRVGftiQMIqFI+fJ4KJsFKHhcuNZfOWlPAJobp//7729/fNS9nY2DjT6pxHQRBY8zUqxTEy3pqzrmQk6WAIqMua0xOKmiKPqflECWA32JQk8x5RlggWHRVmnQ88K00fKidERdCOjo60vb1txYLPPPOMXS+El4Aip5L7Bz/4gbrdrr74xS/qypUrphB84gDvB4EE2uA5nOMkjY/R8r2yzyPWKZU6bttMUSY9872HjXcOX3K9FXJWq9VUKpV0dHRkxbnSyY1AePncV0dhMR4UIaDHzHxCAaU1mUzMKNy7d++Rc5updYkXdha2Xq9rdXV1qt7Eu65kXkgn0meFNh2kUxuNhnlUtFz1J+1ReKT4PcMzHg42esb0+M55hIuJImJhsZzNZtP6j7NJtGRhbFH3GOVMxgGgnPexmfSwAbOhSpYNZf4oaNqKSNKVK1cUi8V0dHQ00zxZL+8xMT+KBqVjhifmPzo6Ur/fNwOEJ5hOp3X//n0dHR1ZXx3OPCJkzNVjhx509mG95zeP9cyKl0H+PJjnAzKmjUbDjkZw99rc3JxqtZp2d3f10ksv6dKlS+YFoCQymYxWV1f10ksv6c6dO+/bX1+HRGKIOSWTSUu5c2THQwycr4TnZyF/IQCJJwz4eDw2T5WyAIy/dNLuxHf/pJ01nQ183R5j3d7e1mQysfo91pXzraw1yo/aK3gNHvSthk6jM5WSBx0ZIFY92h+GNqCj0UjFYtG6+RWLRTu0yvVMHKfw4Q2ejvcuxuOxFVxSNoBlwePi/z5rgts4a3qVefo6I7IxhKE7Oztqt9uGg7DovngSsJcarvF4PFUb47EUD+5yS8re3p5lKGkMhovdbrdVq9XUaDSUz+e1urqqVCqlRqMx83EaX5CIB9Hr9ayx2dbWloUrvJfKfTAXjBDdC0ulkm7duqVLly5NVaBL016KT1xIJ8dbfAkAf/C6SL9DsxgZX0+Gp0yIyrVZPIt0djKZtHT6/v6+Pv/5z+vZZ581gJZM7vLysj7/+c9rc3PTSjU8ZsXewwsYnM3NTRNQlDResy9DeZzSDo5+sYbwCEkjbh8CwgDrZWyNRkONRsOaxaFcb9y4oevXr5v348Hufr9v5z8peSB6YK9RyHQ0JQQETyLCOQvQP7dHt88cSTKNXCgULIXsb8HkD1Ypl8spDENrVfLw4UNriUG1cL1eV7PZtAvqSMMHwXF1M+DalStX7EAo5QLUT/kMDxt11klkT3g/PobmOQgnIRVgIq16YSRwF4A/apjoSUMIAk7BM7kRhtoQPEmEFcyj0+lof39fzWZTuVzOUtGEnj8NwXBBcHzbcalU0t7e3lQq/fLly4Z3+OJPDMiVK1fsggWUsz/nhhKGyQeDgQkACQSfBcTiesVOODWLFxF9HmvUbDatVSvjwcL7TOBwONQPfvADu+EEI0n4ThMznsE64EVytgzvd2dnxxRcIpFQsVicarNDCQFZzFnb4aLYgBwwpr7dCvMCC47W4LEfdI9cW1uzwkvWjbHBu2BD1B4RJqIrKPWgXILutISSjPksQP/cLgFkHwAQvfIZjUZ66aWX9Gu/9mv65je/qT/7sz+zRUIw8RImk+Py/fX1db399tv64Q9/qHv37qnVaqlarapSqRgAyQYmk8edKzns+8ILL2htbc0yGWStfI0LE36c8A3FhjXw1tpjZVi7brdrHiD9ownR8ApJq2M9+R6hi38nNUzUA3ncxdfLhGGoUqmkjY0NCwcex7p6ABKKxU6OB6yurtq+UTQHBuI9Gawv6WGUSKFQmMpEIrA+LS3JMDiUEnyFcHmvDJCf9ZuFfJ0ThBJCedLFQJLVn0mygt53333X1mU4PO4Oye26voanVCqZN0+JBD2LMEQHBwd2NANFwVw9bkkSaRYiPAQkl07CcX/DEDgh2VQwN8bhu0xSi0Y7YOaE/NIumQsmvHJBefX7fa2urqparZqS4vAx2WwU4qNoposDoGgtT61W0/z8vL773e9qd3fXLD4pZLJLdJIEmLt06ZJu3bo11Xd7NBoZgEtRYTKZ1NLSkpaXlyXJGIfsFgAvYRJeiM/AzUKtVsvCQTaMzAUdFiXZwu7v75sQ0b4EZc0cyYph4WEQMCEUMPfH4e2x7r7eajQa2V1w6+vrqlQqhs0Qss5CPlPJ2lCl/Z3vfEdbW1t6+eWXLSN2//59jcdjvfLKK1MeM2OFyTkk7TE1lC5CMDc3Z03myQJ5RUX2yhegRuvGZpkn82JsPqNHSOhDpna7bbhYpVKZqlbe3d3V+vr6FFjNPuLZBEFg/A6cgMIiDAeAJiFD8sKXzfgQcBYitGdu/f7x3W1guBTBLi4u6vDw0MJWTibAi9Q4ARcUCgU7SI0nycWkyMVoNLJzmouLi3Yqo9c7vg3ms5/9rL7xjW9oOBzq+vXr5kRMJhOrUzqLzvWUfEZKkiH5ALUPHz7U22+/bd+p1+smkKSAOTALWM4pd18RDeBHl0kOpa6ururKlSvWFQ8lQCPzaEsLD1LPmn2j7sJ7WOBLhBBYJDZpd3dXnU5Hy8vL5tkBzKKwAOTJOmYyGQvpOKnNv8GYEGiEie+n02ldu3bNBICwzrc5OY+i4DLP99kSxoA3dO/ePWtDzPr6tZZk+xwtwfB1StRXXb9+3X6GggBz8r3MwbEoi3ic7Fv0/b48hG4GtCrZ2tqyfcZTpc7s6OjIgHueAZ7CWLlajB5T1GnFYse9rvL5vHmblBVwPiydThtW6vdjFvr617+uSqWiMAzt6vGjoyMzVhR4oow89kmmrN/vW4g1mUxUKpUsuzqZTAyrJWHlT1FgcFgXlF+v19N3vvMdpVIpu64Jj8rfGHMW3jvTgVxf24B1xip495tBDYdD20gsEgvuq2bpLUT9D+/b3t627MDCwoIqlYo2Nzftbi4K4MgioCBZJJhsVnd/b29PQRBYvyjvIXqhp1aD4kG6P3LoMKocUE7gDR7Y9TU6MLmvV0HBsW4cmozFYuY6E/48DjNDHoSmvKFSqdj8YUy8IMYSrXVib329Ec+HsOhkoTwQ7vEGDAG8RoqcbOPjHDWJ4oK+7govHI+P/kkoTjwcvB5/Qwvj8sWSQBy0bkmlUlNZNn/7CfyEcYrH44bheFz0PPrYxz5mYdra2poymYx5NuwXR3ioIYMXm82mtre3LclETVcymZyqnVpdXdW3v/1tw57YP+Y7Ho/1K7/yK9rd3dUbb7xhN89wbdPR0ZFWV1ctgzyZTHT79m1tb2/r4ODgkXM711PyYBqbzIaCj+A9jUYjw1QQLhjZ157wDElT2BDx63g81tbWlmq1mj2PjfaWjoWBPBjrQ5XziFs5/NxQgGh6lACbSIsWvA+Yic/7LBtrxzwkTX1nOBzq6OjIQFjmEYYn7Vi9MUDBcbhz1opuSVMGgv9LmmI2rH2xWLQjJT5k89iUB3qlkzatXnn51Lyv6ObzKGC8D8JE5s54Z6l29gaFvWG8ZHnpM12pVGw/P/7xj2tlZcW8GJQT4yGj5J9LKIuhgaiupr+YP44DbuRlA2VF2cIs9Ku/+quq1Wp64403tLS0pEqlYuUO+Xxe9Xpdt27dsr5gvV5PpVJJr776qu7evWt4J4qYJFO9Xle5XLbOG/Aoa8+xmdXVVdVqNX35y1/Wd7/7Xb355psWpvuEBVlOIAhuPvmpMSW/0d4K+vNBAHPpdFpf+MIX9Eu/9Ev6y7/8S9PWHmvxZfQwrwe1OYUNsI41IQMC4Oq9JVxtmM+HULNa1ocPH1rfcLwUlBphKNgJ3TFXVlYsdPP3m3lcSzppnI6HiBfgPQyukapWq1Zj4ufpM4mAmj7lPCsje+yCQjZurSAd7jsXPv/88xqNjm8BLhaL9hz2lDoqngszsn+8B6Xgw2FwGoQbAfcFlL63uee/swiF4ceKQqeKemlpSe12W5VKRZ/+9Kf18ssvKx6Pq9Fo6MGDB5JOAGRf4kCfKUpSfKsb9pLMM55hJpOxVLh0EingZbEegMCzAt1kekejkV5//XV95CMfMSVC36gwDO0uularpV/91V/VZz7zGf3whz/UgwcPVKvVpi59pQ6J83uNRsOU0GQyUa1Ws3CbjPAf//Ef6+DgwDLwPiIi40oZATWItVrtzBbOM0mtt4zEyKTs0YAUYH3jG9/Q5uamSqWSnc2Juv2eifkdGRkfKnFY1Vdbw+y49OAfMLQv0ppVKd29e9c2mZPSKA8UJylPUv+U3F+6dGmqPor5+aMoKBQUJWlgj8nA5HQG8N4Sbjd7AU6H0pr1vJQHxj2O0Wg09NWvflXXrl3TaDTSn//5n+uv//qvlc1mrWODdFJbhAGQTjoyeAXlnw9DeyUPxuBxo+hRGzwLv6ezYoTS9O3Okix5IsmuCapWq3rw4IGuXr1qlzRS+0N47fkPr4j/+7vW8C4J9VhvMk2EoZSUMGf21BfJzrqX0nGRchiG1tonCAIdHR0Z35KaB3QGW3r22We1u7trCpFbS8rlsra2tqxDJtGLpKnMbKlU0uLioik3z6s4GQDny8vLZhwajYZqtZqeeeaZR87tTKnlFHM05PAn2sfjsXXOK5VKunnzpnkwPvSLutQwgBdij5Pwfn9+iu/7NKP3Tvw5HTCvWYgYm6xesVg0z86fsfNj4sBssVi0dK9XgowZyy+d9Hzyf0jdSrKzZP54A3NgnXx1N54HTbbOI44asL6UISwuLpr7nkgk9OKLL+revXuWceF7FP7h1bA+KEYUJnvAZ6KlCAgxSsh/BrwF4NsfdZilHS4K34eonMQH+yNUp1neG2+8oV//9V+3cByrD295Y+gzjPztvUX2GuEHqyQ8pec1JQq0o6X4cVav14f5ly5dUqFQsJq3W7duGbaLNzccDvW3f/u36nQ6+tGPfmT1YpK0s7OjMAy1vLxstYO+sDcWi1kf/Gq1qnq9bqEvmBkyB5+gM+jbRFHp0tKSGfJH0Uw9ulFEhBQ+xeurscfj4xtsGQxAHxiIfyYpSJQWChB3GKY4DSBH4H3I5l1prPCsRN9hQL6NjQ0bC8yE8kA5+BobWlTgYUknt0dQcU444vETFItvN4GC9aEvoRrhDEqM5MJZ54g8AbiynoTQzzzzzFRpAQB3o9HQ2tqadbYEEJVOFAvM7b0GPhsNRViPaAiLcuJ5YI++PzqZm/PIe+TMiexnNpu18LhQKGg0Gunu3bsaDAb61//6X+uTn/ykXn755akMG3uOHKB8fOcI5uYVK4Azhtl7xShkCmDJfvHOWch7nb69kPdiJ5PJ+wo5i8WiqtWq9cYqFou6dOmSRqPR1KWonG2jErtcLk95gxwvgT8xHN6R8bAL5SwbGxum3B5FZyolyuDZbLJIWA/OvrVaLZXLZds0Ml+cmvaHZQFnCVkWFhZMefEewjkPXPtDodJJbxwfJgDG8n2Pg5xFuJVHR0cGvOOJUUIvyRrYAwr7nkZYFFx/H9L4lide6BA8FE20R7NPacN0CDDjrdVqj3WI0wsqa+4PN4/HY7tdZmVlxTwfrlvyRZ14zB7M5z3si68TwiNCYP3PmSdYC3Visdhx/2mqwM+jXq83VUyIoeCmEubpu1Hcu3dP3W5XN2/e1MbGhpaWloxn4Ud43mcmyVhxHAa+gw+8l8y6gB3FYrGpA+94FBzcPY98TRxHS3wZTK/Xs7CKxA2Kn1ZBGEp/iarfV4/jsScoY87bwY8eTwyCwC4h5ZA6RoE1/ak9JQ9wM9DxeDx1y8fCwoIVUjFxj4v4O6BQbIQ9HD3B24hmq8hIYHGw5J7hpRPvy3tS/X7/sTyIyWSi3d1dO89Eit4zAJkNmqdzAJI0M5gTVsyn9T3WMhqNrMqbYjwa44FV8BzwFbwq7qg/PDw0pp6Vkcnu+f2VjpXy9va2NXXb2dlRNpvVYDDQ1taW3Q9G22PWnqJTMljeA0Lx+L3yygflxM/4Lrgalfr5fF7FYvF9iu9RdHR0pLW1NRMO+EOSKpWKer2efSaVSun69esqFovWSyoWO7kx1guPhyE8LkfY6t+F0vfeaBiGtk+EvdRC7e/vq1qtWnZqFiJ09AWqqVTKjikBUoNfoZB8dhrPEYJX/VlNQmbWAlwSL4v9k06SXn6dkH9wSZyWszLj5559k6Zv48xms1pdXdXW1pa5fAgRd0z5NCq/8/U63W5XGxsbdiFlIpGwSmeUChqeNKqvC/G1HF5Z1Wo1bW1t6ebNm7p165YODw/1e7/3e+duMFauVqtpe3vbjh34FiL+qIOvGcLjwYuo1+vvu9qGGpUopkQbFMJiSVNxOsqLYwK0qMDLoABwVkDfHzXwAh6GoR4+fKjd3V17Hl7e/v6+arWaNjc3zRvlWb6gFCXkcSKY35eMIEDRtDGhC5XBMD0CglE8j/7iL/5CX/jCF7S+vv6+yvFYLKbNzU3duXPHrkqiNocaG4BplAq9xMCHokkMeJQwhp9LJ7cBRY8NYYQPDw/14MED1et1O7Y0q4FBJpkbSgPPCWxybm7Oym089BHNlnK8Br7CaJDk4R2DwclFCT7Dzb56WIVSEY81opDwZk+jc1uX+NQ2LiJ1GF5A5+fntbm5ad4PygnvASQehbOysmK36NLYCoGMFpDhdXhG99q2VqvpRz/6kV5//XVVq1Vb2CtXrsy0wd6Kb21tWWjqCyd93QxMCKCHQjo6OrLFZpwoIoSS92C9PHP4imZOtXslTNhLCcKs3gOE0PhaHqjf75t3AlZIkSZXeYMDkN5F2Lz1jVpkGJJ5Y235rPcc/VEFX1kdDSXOoq9//eva3t7WF7/4Rb344ovmZYF95vN5FQoF3bp1S/v7+6pUKhayE5ZNJhPzQjGsHsbwoTjekPcCpROFhfKI8gNHPGKxmPFprVazNrPnUa/Xs3ID74V7RUF4Bt/57LCk9xl4DAu4FhEDsAiKxWfNfULB7zlKCZ6DDySdqZCkc5QSmAnMwIsSiePrUrhKezw+bkKezWY1NzenxcVFmzyVrmjwZrNpjcO9MmDjfB2HdHKCH0vFpnqPihscvvjFL1omrNFozNyEnefiVj948EDNZlOlUsnWACWEZSQbkUgkrEAumu2LekpYWRga5cYm8jNCNuZJASk4HcWbs5YCQDCQx+18ppN6KdLAu7u7kqT19XWVSiXbAy+MXhiYmxdSr4h9GYg0fbUVx4hKpZK13vC8xz6dRwcHB/rTP/1T3bhxQ6+88opee+01vfzyy9rY2DAlmkgk9Pzzz5sH4flLmi498BiR9/CiWcXoESWUrv8/nuDOzo7u3btn/YuazaY1+5v1OE2/37cLWf3+Mga8en8IHN7yf3vvD2Pn15xMqy9f8BlHkjFeOfn98t5kFMZ4FJ1bEuAzZ4Cy3rV98803rbcvLUmkkzYQXBt09epVffrTn1YYhqpUKjZh73L6hfV4h89coBgfPnxoB4F/8zd/U5/85Cd1584d1Wo1ZTIZ63kzC0W9s8FgYKe8fQaBcAWPjkWnQVYU3PVWlzWDuUkAoFhQECg/b024zQPL89N4SczTM4SvLWG9mdutW7f05ptv6sqVKyqXy4aZeeXpgWt/Xi+KH6GQPGOieCmOJPwn1EewyKpKmmm+pNdv3Lihe/fu6Yc//KE++tGP6hOf+IQ+/vGPW4uWfr9vHr1vq0GIGvUmo9gSStMfO/GhjfempWPZuXPnjl5//XX9zd/8je7evWv4jT8XOiuBv/mzigg/UAOyisLAW/JZQu8Q+LWHP7yHJE1nGTFEhK7eM/LrBt8RaRBaPooCBP6CLuiCLuhpoJ+uO9gFXdAFXdDPiT4UpRQEwf8RBMF2EASNIAjeDoLgt9zv/uMgCN4KgqAZBMGbQRB87cMY04dBQRD8eRAEvSAIWu/9+cmTHtMHQefs55eDILgRBEEnCIJvBUEwW7bhKaS/j3z7VPCsjy9/Xn8kfUzS3Hv/flHSjqTXJG1IGkj6qqRA0r8nqSNp+cMY14cw7z+X9FtPehwf4n4uSapL+o8kzUv6fUnfe9Lj/TnM8+8s3z4NPDv7xWg/A4Vh+Ib/73t/rusYaK+FYfj/vve7Pw6CoP3e7/Y+jLFd0OPTGfv5mqQ3wjD8PyUpCIL/XtJBEAQvhmF440Mf6M9IF3z7ZOhDw5SCIPhXQRB0JN2QtC3pTyT9taS3giD494MgiL/nAvcl/ejDGteHQP9TEAQHQRD82yAIvvSkB/NB0SP282OSXuczYRi2Jd187+e/kPT3lG+fKM9+aEopDMPflpST9AVJ/5ekfhiGY0l/JOnf6HhT/42k/+I9Zv67QP+tpGs6dvf/N0n/dxAE15/skD4YOm0/JWV1HL55qr/3uV9I+nvIt0+cZz/U7FsYhuMwDP9C0iVJ/2UQBF+R9HuSviQpJemLkv4gCIJXP8xx/bwoDMO/DMOwGYZhPwzDP5T0byX92pMe1wdF0f2U1JIUPbyVlzR7a8ynkP4+8e3TwLNPqiQgoeP4+1VJ/18Yhn8dhuEkDMPvS/pLSV95QuP6eVOoY2D07xqxn29IeoUfBkGQcT//u0B/H/n2Q+fZn7tSCoJgOQiC/yQIgux78fc/lPSfSvozSd+X9AUsTBAEn9Cxm/wLH5sHQVAMguAfBkEwHwRBIgiC/0zSL0v6xpMe289C5+zn1yW9FATBfxAEwbyk35X0o19EkPvvI98+NTz7IaQYK5K+LakmqSHpx5L+c/f7/0rSuzp28W9J+p0nnRb9AOf9/ffmVZP0PUn/4EmP60PYz6/oGBTu6ji9fPVJj/nnNM+/c3z7tPDsxTGTC7qgC3qq6OKYyQVd0AU9VXShlC7ogi7oqaILpXRBF3RBTxVdKKULuqALeqroQild0AVd0FNFZx7I/Zf/8l+G/rbPfr+vMAytdzKXA9AF0X/W33pQLpc1Nzener2uZrOpdrut27dva29vz/r20lKUtqS0tB2NRpqfn5+63HI8Htv95K1WS9VqVXfv3rX+znTyi8fj+sEPfnBu4ddv/MZvhDR5/2f/7J/plVde0b179/Td735X0vG9cLVaTTs7O2o2myoUCnZpXxiedBjk9o1MJmMdKn0XSt9aNQzDqe57vhOjb4lK5z7uKyuVSnbVOd0yd3d39Tu/8zvnzvNrX/taSGdJT8yBfs607/W/49/8n3/7yzLp2Ejv5zAMp/qq84yzWqFGbyHhezTD/9a3vnXmPL/2ta+F8CSdJAN32wfkr4/37/bz43e+la+/porWzL41MJ9nntyMS4dLrtDmogxuf/HtaSeTybl7ubS0FFYqFWv/7OWHDpL+Mlja0s7S3dJn5KO8ct733BwUhqF1m/Q96qE/+ZM/OfXh515GKcmUDgu/sLBg1xixoCwATEgLV0mmjG7fvm3tMweDgZaXlxUEgR48eKBEIqGVlRUdHBxob2/PmtfDjMF7t48G792EkMvlrDd3uVxWvV7Xw4cPNRwOp9rrzkL0Od7f39ff/M3f6IUXXrD2riwo/Y4zmYzdP4aC5kYXrshhfWjfi2LyfaBpYQpx0WMqlbIbUvwFCZPJ8cWCXhlJJ9c/zUIwr/8+goRSCcPQfs9eQf5yUMZES9zozSF8hr+9gjlNMLyCj36ff88iIL51sG8x65WMvysQxemVr38fv4/eSHKacuUdXsEE7towxsZdedyd5q8on5U8//h1Zhxn/X0ezbLO/saW077n38W/PR+cNZYzlRJ9pREWNB+WqFgsqtFoqNPp2M0H9FvmfretrS1Jxzfm/uQnP9FHPvIRlUolFQoFlUola4LPDZrNZlN/+qd/qrt376pSqdi7EomEPZ9bJvy9aouLizo4ONBgMLC+xefdmuAXGKXx3e9+V7/8y7881c+a5u7pdFrZbNYEl0v2aHQ/NzenbDZrd7rzt7+5Vzq5SJM5cIsEt6OgBMMwnLpb3l/R7a+nmlUBeyXohZW/8QhYj1gs9j7FxGcROP6gALynwbOYPzwFscZRheOfM+v1UdE5egUY7S+N53JaT2nvLaHEvWHxisj3ZPf8ggflr/pmfXK5nD2XK4iazaaazeZj3eocJe+9spfsIeNnnaNGwe/3rIrxrM+5Ysz3Gc1ZFN65Vyz5pvIsIsJDSDUajdRut6fuBavX67p7965u376tq1evqlgsqlgsmgCj6GgM3+l0tL+/P7XxOzs7mkwmWl9f18rKyhSDcDcbN2Jks1ktLS3p4ODAvIrHbay/sLCg/f19fe9739NnPvMZ85I6nY5drInlwyPyioh/Ywm5UBIlxnhQRIlEwm474eYSfs61Uv77eGtc1OAbvs9CUYbwFt/f1+ZDLh/GwQOeyaL/Rzh5PkLqLaT3CjzzeiL85h2S3ueZnEbRUNFbZRQSIRXej79+iPAaReJvzfGK3N9o4sfu3+cvvfDKmauemCdhr7984qch5sD+Ycy9QSDy8LLh9yt6cUDU+znPG8JxYc6P8ojOUk4zmSHu6ore7MHvgiCwO8OSyaTa7bbu3Lmjmzdvajgc2v3h8/PzdhtoNptVtVpVs9nU9vb28WDeuyeLzWk0Gtrf37f7wFZWVqZuKOFK4F6vp3g8ruXlZdVqNXU6nSnhOI+8YCwsLOj73/++3cXFza2SzEPL5XJaWFiwq6O4595fa+5vJIHBUTDcKMslgCgcb539+/r9vuECsVjM7ob3ezDrPH34yN+Ei/6iTB++eq+D/eedHvPi+f6uL3+Dqhfk0zAr8C5v4Qnd/XPPo+jVT7yHmzm4ygijwKWgrDnjSSaTZkQJx33IF70mKxqm4l350NhjZBghrrfCAM5C0TCcvZBkV3FhRJk7zgTKiu/7m3Q8X3jy3o+/Nsp7uVEc6VE37qCgH0VnKiWUDLelEqJgTWAyALvRaGSK5J133tHc3JzK5bKOjo40Ho/tbnPp+ELDXO64zQ4LxEV4+XzeQEnA162tLQOPw/D4FlOuA+YixVwup7m5OTUaDeVyucd2/cMwtEsXf/jDHxpuNZlM7AJG7kTn3Xhs6XTavEeUh99kH8pgGbk/DY+Ku97YUH8DKgyAlWu326rVanbZ4qzkgWj2rt/v23U87AGeUxAEphjBxDAeUUsZvVPM3wXn8RivxBgTXp/3WIbDoYH6s2Jnntk9wIpQcfElPITnyRVJXvlzTRh7G4ah5ufnp8Ik7wVKJwIOHsh4WEuPSSFHGJ3oPW6zzhPCmLTbJ22duIfPr2sqlVIul7MrvlAeHpuKhoE8H+NFkiaZTE5hdNKJIZ+bm7MLaKP0U3tK3ivCEvBv4mY+54HwZDKpj370o1paWjJFgWCzIXgSZAoQhk6no2w2q263q1wup8XFRVOIfJb3MjkyLZPJ8f3o9XrdmHlWYpFgyK2tLS0vL6vRaFg2jeudsTb8kWR3fvmLNBFyf1+bvxONzfQKh//7dRqNRsrlclNZuclkYldnzzpPz2hYNK8cWAf2PZVKaXl5WblcTru7u1OXZbbbbdtrj5XxXLzrWCw2hTV6cBZB4N/+XjwEGGU56z133qKjEBFW7+GwxoPB4H2XJULgiQD6fny8y99GO5lMTOEhwP57zNPfkgzPSXpfWDXLXFlL5pNIJMxbn5+fV6/XU7FY1MLCgprNph4+fKhWq2W3LcPXfm94NgoUA9VoNOwa80QioXw+r3g8rt3dXdsjMNErV65oYWHB9rHb7arVak3hi4+iM7kZzMhbBFxqhCuZTKpYLCqdTmswGKhYLEqSKQosi0/9+6zE3NycXQcNZuXvmGejuDKczQMf4HuSbIGlk2u2ZyHvfkvHGp8bcPGIALT9FdD+1l5/MSNjxgP0+JB0onQQAh++wBAeDPUhD9YaRmy325qbm5tpnrw7DEPL+uCFFAoF894wOJPJRKVSyTyGvb09Cy+4iLHb7ZrRQCGgYLgGm4sm5+bmTBGjGLyi9PuLAUMoOp3OY+EtUawMpURoyPryHn+7L+RBYr8mzAvhDMPQBJ3LNVHE/nkoe0mnhqIor1kI/I8x9nq9qTKcdrttt0R3u12tra2p3W7bNdxEOb1ez5wDHzazhh6H47ZdSWq1WiYb7XZ7irc7nY5hZn7enU7HlNpZdK6nFASB3Q9PBgzriHdSKBRs8CwMSodJJBIJw34AxwGp9/f3bRO50tpraWJ6H/t2u10D7hjn/Py8CoWCxuPxY2UzomGB93hQRtls1q7KRtnCkB478a6tdJLZQEH52hGfuWJTSSR4b4P3IAyMt1AoGIY2C/EOGLZYLJpS5dl4B+xlrVbTysqKYXzwAVgahiGdTtt6o2AInwjNUXqlUknxeNzCDB8OoaTxMHmXJO3tnd+Tnzl6/vEgtfdaPNaFAmGvMMg+5JROcD54X5KF3fV6Xa1Wy4BzPu/JK1rIX2s+S3ZKOrkh14eEhIBgm/BvPp9XNpu1TDeUyWS0vLysbDarIAgsWXVacgVlh3fH5yeTicrl8vtwqSh+CYaKPJylfM+9tttvFB4K9Trz8/PqdrvmOXhrwncouPQ4gldI3W5XDx8+1OHhoQF0vBvPBOFkUl7To5RgNq4Zn9VLYoE9LSwsGJjtlRLYAkopFotNXduMS87YYJZut2uZOXAosme8P1qP5b0H1gzX2APNUSV4Fnk3vFwum5JAQAaDgZrNpv1sMploe3tbg8HA7rrH+6CYc2FhYQr8TqfT2t3dtXeiaHwmbXNzU7u7u6rX61PhlgfSo5iW97bPIq/cmINXQgD7eBp+z6QThToajVQoFMzT914aBsl7UIPBwJS2Vy4YzGiCgDVE+SMjs4biYJfIFN4fc8BYTCYTVatVMwCpVMo8R/gGr5c98DwH7BJVMmCA4HAeBE8kErp//75BL+BcyOp52OBMmJJ/OQtKbZKvcUAxeab2g6B2CWC60+mo0Wjo8PBQ9+/fN8yEBS4Wi1paWjJlRK0PY/IAGwuZSCRULpfV6XRmTpVDLDzKcH5+XplMxpQTigOPyTMrHh6KlXXwmzk/Pz9VR+XxJxiSDQZY9V4Ue+IzOvPz8zN7hNvb2xoOh8pkMmbdfRjlQ3SPe6GYKPLzng9KGsXq8QIfQkkyg/XgwQPba4SKufu1Ym/j8biVZZxHHr8j1PJ4D7xJ5TzeLRkw3k8SgHFFs6KEIChAnuvDedYVbxEFzhrF43HbP8Y8q1J68cUXDXtFLhgPhkXSVI0fygVl2mg0dP/+fQVBoE6nY3JKhENxsnSCmbKOyLx0Asn4ottOp2OKyBtceJ96u1P38KyJo409xoOQNRoNS5MimIVCwawa1gaLwoQ8gNlsNi3uTSQSWlpaUhAcH3fwla5MjMnhCeHis3C9Xs8K1FCIsxLzQwmlUinzasi2gRexwAhvp9OxtDKCwOewlGQ5eA/KwM/NMwwCzjux8j6VDFN73OIsqtVq5qF1u1076uCtOkBwu922AkBwxKghYExU0UuyvSQE9aER70LJSTIvc3V11bxBhIOQl9qvZvP8+weiYC1jaDabFlqRgeNEQhiGymQyWlpasrkzhyhOJr2/Fol18J/BO0ilUmq327a33lsAkwET9GHmedTr9Sy89F7bZDIxZeu9y0ajoXw+r3Q6bQofxfTgwQNbk2w2q3w+b/vXbrftSJWkKaVNBrfVatn4KarGq5eOQ3uMBO8BRz51D8+aOEqFTQVtZ2CdTketVmsKyCoUCuZpILy4qGwW3+t0OqrX6xoOh7py5YqKxaJZ7/39fR0dHVnIgGAkk0lzPcMwtAlLmipCfJxjJiw21ozSA4DzdDqt8XhsChHrRyhUr9fNWgD8E6IRgvgMFUAoc0skEspkMlOhLkJOoagH07335bGR8+jKlSuWjEC5YBUBPUej47OG4AV4dHhHrC3rQ62Vr6RG8UYze37srCHrWqlU9PDhQxMenoWiinqMjyIUIB4f1duTycSwSfiVdQUXyefzBv4zJwQf4J53sB7MDwNBxEDY57OUmUzG+B/+JAFAKD0rpnT//n1dvnzZ1p2/8bZY14WFhSmMK5vNKpvNmhFlnRKJhJaXl7W4uGhyOxgM9ODBg6kyFulYIVJWwBo0Gg3j4zAM7fnZbNYSMtTiSZoCwqN0plJCG7OxuImELz47geLpdruqVCqWlgQY5DOtVsvwhGazqWq1quXlZV2+fNmOXZDNQWllMhmtr68bhoMVB+fBm8A992HR4xDpVLApLDTzyufzll04ODjQ1taWarWaAcV4QwgFChQGhhBY4m1wExibYlNfTey9JZ9Gl94Ppj6KfIWxxy/wdgklyMicFjoiqPyN1+WzSh53wmNFufhnwT9BEGh/f38qfEIhYRh90ex5ewhmgiEEA/TFmeB2eGrsFd4oyoL99ErNQxkYBF/Bz36CDyJHXhlgqNh/72XNQn7/R6OROQKMxRtnb0DwRFOplEqlkiVUBoOBYWU+Cwr/++pw77XHYjEtLi6qWCzaGvFueEqS1TISiZwFrZyplNgktK5PO1JIySTBVIbDoQ4PD5XP51UsFk1BwPgPHjzQ3bt3zZ1Op9Pa3NzU8vLyFICdTCZVq9V0584dNRoNra6uGqgsSeVy2Q7GYt0B7hjXrIVoLDRzQvFioX1tBbjRzs6O3nrrLdswGJtMJMyKMgGI98KG4vLZxJWVFWNQQlfe7UFglJzHOs4jX7gXLV4koYBxiSp2H8J4IScsI4zkmT77hVLx4DJjZ16SbL0xTL6Oy3/uLEIQfVjpa4R8Fg6+JYxDQBFahJK58ByP17AuPlyXZGuCB8zYCKHgKXBHn12ehXgX/CDJvDO8JaASMtNRXppMjss1KB7l9967BQeVTowfe43Hy//hc5SjD2UzmYxyuZwZ3rP28sxdxqrEYjEVCgULLxAwPKbJZGIpR7CKZrM55T0kEgk1Gg2L18fjsbLZrJ555hktLy+rWCwql8uZ0KdSKVWrVT18+NCYGw1MexDOziEkMABu8OPUtbDYWBWsHpvk4/5EIqFKpaKXXnrJqmJJy5OO9WsEiMgzsFgIEOsGHpbNZo0B/DELGIwxRYX7PPLpWvYR4fe4En97Dw8+mJubm6oZA5sB+MeLADeJ4oI+08V68nxKRnwa3oens4SpPinCdzwMgcLzmVzWhH/7+jJfHsLY8DjxYtkTwhwIpcG+8xxfeOzLHzD6sxCRCobB7x1KWTrBfjweG01msD4+YcS8KMDkuawDz/d8KJ0YeJ/xTCQSVkhJxHWW8j1XKWFFETaYGeH1C8Ek5ufnLbvBotVqNbXbba2vr+vy5cvqdDpKpVLKZrNWS0EKsdVqWXq5UChY1gLQOZvNTrUnwU0ejUaq1+uP5T3wfcIRiiP95nhAGSbjUC6KN+pJeDwNV5WWJjCIVxCAiT5kQAnwOfAQXyXuFcp5FI/HzbBIJ0zswx2fovchHnvOHPCKwQ18eOlPyCOseJQoY1+oCGMzDhjfW3bWchby8/MCyznJaC0c8/QhEfVRjMOP0ydu+LkXdg9Z+HWApyS9L3HCs2edYyaTMaVKWOl5xGfSWD/GyDgwBHiGUfL87ksKorzrlRLv4R18NpqZPYvObV3CgUR/Kh1FhSBHLRoTb7fbhv80m03F43FtbGwom83axgIs+iyXdxk52sEZM5SYT6kDeJN6ZbEep1Yp6lZ6b4IKY7AjMoswA/Mn5mZcNG3Dk8CKsJEwkAdJfVGlZx7mwncYhw9zzt1s5xXA0AgNobq3ml6gUUoeR8SLgDe8MoMymYxVAgP286wocM/fXiHhbcyKm0UxKX8UCMWEwiCE9bVlPtT2lcd4FlFBZL+8Z0DhIuNgXXzoyFj5DmD8rEkL+MVnCL2nFvV8/c/4LAoWRcN4Pd8RenOI2ZctRLFNyD8D8lnbaAIkSmcqJbwh0ogIjWdQmNEvqK/hIduAa07KESaIehi0IwGwJFxgDFSsopR8qhHF1Wg0TCnMQnh4VFN76+YtJp6Ud0OZM94a4WM0fPDYBAoJZvDKjA2E2RF+jyF5Zfk4Ssmnc9lPLwRgKjAV++uBT48vcMSFcNW79h7sp0o8Gm54RcY7GafHgNgTjhCdRR5c98C8L7Vgf/lZLBYznmNcXsl4jMt7V94zYe94jt9L9s2HlYyFxMLjlK9IJ3Vc/j3eQ4zigayr95DwVn33WObmlQhlPr1ez8bqvdAoeR71njd1X35Mp9GZK+Hb0OK2I7i4Zmwom+WPlgDg+vMuTD4Wi5li8gzoszYIN8oApYTlm5ubM6DQn+bmz6xKCUzLMw5z9WUAKA/CKkoQyCweHR3p7t27qtVqko69vNXVVUlSpVIxZe1rXPC4YCQvnGywTxUjMDDh44Cj0rHn4vE+D+KexmTec+NdiUTCWtVgLBB0rK/3sgBgYWjGz3PhFU/8H0UWBIGWlpbOnR+Qgfd0PMbBPHi2NF0f5MMbjKbHkZgXQovR8jgN3gfC69cyWiLBM1D2ZwmrJ2SQzKefn/deovxEHRrFsx628GFq1KuXZDLVarWUz+ftM1Hj5t/N+0nsROd+6tzOmrjPKHjF4BUML/RtGoiLPbAWi8Usw+RPUrOBeA48D6HDkvlWIX7DUYq+/gRGntWDeO655yzUIjT1niAM7pmK7F6321Wz2dT9+/f15ptvamtry1Kh6+vrtmmdTkfr6+uSNJUkkKZbd6DQo+GKL1bz+IW3vueRTxGT+fRnvLw3wbiinhRW1mfMyEIhDFhR/39qgjqdjpVdIEC+jgbyXhJe6CwC642K9xC85yOdCIVfZ++dwjteGfmQ7VEeJQYq2qUiitX5sPW0cc0yT8aEjKAU2WuPrfpMI7/HMHisyYfnkiza8Z4vJUJEPDyD+SC7yDFrDF/4kPY0Ohfo9gVzCKYH11gcf7SEQfrwDCVEVa9nRp4PKIr3QwgHFkCNQxTLQmGSiYtiIudRsVjUzs6OzZHn+ayLZ3TmRTuGarWqt956S2+//bbCMNTS0pI2Nja0ublpG3d0dGTdDnu9nsrlsp599lktLCzYGvrNZ26+vJ+5em8kao1nITxOaqzINErT7WOl6bayZAlx9z32w7j5rA8VpGPhx0ur1+vKZrNT+x4l5shaM+bzyI/HCyjj8ngOn/dHNPwfxuFP+3tjACGMeMJ+H70gevLeiF/7WZUSssN7fMiPPDJ+Tz4r6vfvNIOCJ886ocioricS8QabdWHf+J2fWxQcj9K5SolCOjQng8cL8hNDM1Jw5btRRjNaLITP4mERKTgD6+HgJ5gRE0Px+O6MLF7Uyp9FHgNByPGU2Bwfp4fhSaUwAGA2m9WLL76oTCajUqmklZUVqznqdrsql8vWUAzPjxJ+3h/1GDwYy6aSdUOQUHSzkB9/MpnU4uKiVaV7oJvPeAzMGx4UN8eQ/LN9iIfL7sOkIAhUrVZtHaLhp89k0eXzcXpjwYcec2T/8B78WNh/b9n9up+G2UW9U+YBjz+qHiuqrAnbPOg8q1KiQJJxIwvR+jXW1yss2sAQRnsj52vyokqaNeNwuYdt/Dqc9n7PRz+TUkLYfaMsmJFNgDwDSMcaGWCL7Bib4DMDHsfxWp+snceS0OJRa+4XnXE9Dtbiw0jp5JS1r0fBa/TZvSAILOS7fPmywjC00obV1VUrofCdBLrdrobD4VR/cRjJM6THZBgb7/dFeyjIWcgbBdaR8At8jHnDoH5svDuRSFjhKmNl36LCRX2Kr65utVrmCXovxhsGFJ/vNjqLwOJd+bIMyH8fQfGhinRyDIjnnKUoosqGtcHb97gfvIsi4HPRTNisdUpEEfCGV/CMB8Plk1GEY4yR/cML5f3wAJ6fD2F5B1ihXwu/1lGPE57+mcI3n471WtTHnmxu1JUfj8eWJSOdTZcAyIdxMAYZATJ2WEqUnj/IGrXgWFeYedbmZ2Bc3rXFIrAh1E7hJfKubDYrSZYGXlpaUrlc1uLi4pQibjab1llhPD4uHMVboOOmHwdzADPzngleCEr4cTwlhDRaFOm9VZSx3xc+xx77Frf8DIXrLSFZt2iXCY/FnJby92Hp43i9PtyIZtpOC3Oi1tv/8YLJOKKGw4deRA++nbAHkD15ofXvmpVQQF4p+DIKv76M1X+XSAYvkhMR/gYexkVtG0kNlCDzgDzOxTsxnijgnxlTGo9PeuZ4vAWsg03xm+Y3CgGMxWKWFcH78m6sB+RYCC6ipEG/X1w0PESqknc+itEfRRRc+jATHMsrYAr7EMj5+XktLS3ZInsLH4/H7UAu1jIa7k4mEzWbTT148MCOp/gqeb5LnU8ul5vqa47b7utpziKvlPDgsNTeo4CJmDuMBLMPBgNrLseZKe8VYiCw5jA2yol+3z5cjHq1eBN8R5r9jJ/HqrylZk7ea0Ax+HS/9xJ9mIewRsfrQXmUOfNmLbw3yfs8iO5l6HHIC7oPvaJ77Q0YcgnWKWmqMBlszLdu8SHxadlLvxb8zK89f//MSqnf75um9+1fEVAsgXeDfZMrNgFh9lkYn/qPAnwAqoCjuLoc1/AbizvssZAogHgecaiXMTJOn/HzmTKsDGeGUqmUjo6O7EAr60DLCpQHRaEcyqR52rVr13TlypWpU9TespPCJYymShxGe1yg23u4KAbWMBq6wVxY5mgoEgTB1IFt9o8xeUyM33sPlvXxCtB7N/44xmmA+GnkQ0nPh8zjtDAzWori18IrOMbrBQy+8VEDMuKzXT58i+J1KJdZedY3cfN/ohCDV3Z4TigdWle3223jabx49okwnXDQGwa/Z4zF72vUG/XK6KfGlKST5uukcdGgFNpJJ+AiGInvHokSI+amuplnY12ZAMKKVs5msxbieCvlM2FYIz7DuGa1rDBJNOPG7SWM14cz9Jyp1WpWqk/o511fFPRkMrFqdebYbDZVKpVULBatxYVX0Fh2MLxkMmlV8ngorMcsBCNE43xvuf16eLzF32Tiiz2pjqZ+hf3wob8vLVlYWDBsjfn51HR0Ll7wZ91LPu+Vjg+zvLCwHszZezmELYzde1VeoRPOezzHr6nnQ/99H755T24WqtVqtifeS/IKiXXwUYg0XaGfyWTUarWmlCeKCNgEiuJzPnQ8Tcn4sDs615/aU8rlcrY5XGlEzAzOwcOxCp45JU2FMywEg8NqsGlgKygZFgVGwWpGMym8G1AemtWyttttZbNZraysqFarva9Ln/e+mG8YHp8XKpfLGo/Hll5vt9uq1+sGzqOwfdYyDEO7Bmpzc3OqOpa/PWN7b4ViS0JIwoZZKBpmR3EU3h8F3vECfCkI68sYCAnwHj0u59te8DxJUwc9PRbEe30t06y4kj93h+Hk72jWjDkyX3jMzx8lC6965emF0kcH0gngznd9ksFHCj7MI2SdhQjpfc/tKBjNz3i3D5XxeCmMjq4tY/FKzuNW0gnOeBr59fEKif+fReceMwHU8pkZvB7CLF/ZTDMnvAFAVDwtFgPLQx0Sng5dBsBXeHYQTBfQ+dRzLHZ8QSNeyqyV3FCtVlM6nVa9Xle73TYMK4pfeSXM36TWk8mk9vb2dHR0pETiuCWvd+nH4+OiukajoWq1qlgspqWlJWMINjjqAiP0vmiSsBZ8Z1br6r2SR1ll3u+VBIqPJAKf89kzLyAIGnzigVGehYJgr1Ek3rL7f89qYPBevCB5nvFC5fElvodSg09pOsh+MFef0UKZYWgxqr6nkVcSvMv/Yd1nxQcZhzda/vkoSMYS/Z1fY1/+4g9FR/cgumYeQ44mAfz6++xm1AieRucC3b6am7ocwpparaZWqzXVpZBN9ClH2op4IBmgE/cerAbrAXDs25Yi5KSmfQzd7XZtHB7Um4V2d3dVqVSsrS0Hg72nMpmcnOD2oQtCBmbEPXGSzMtDMFqtll1FTskADOoZ1W+oNB2Gsl6JRMJS67Na19Ni/yh55eEVDx5P1ALiQfAd32fJJzAQEg8K4yFSz8Yzo5b0ccBf+MiHRx7o9ceGorgnHhWeXRiGdvNLPH5ym3G024HvPCDJEgjUEjF+5uhxR8Ya/cws5MPOaPW49/a8Z8O+eMXsfwZvR4nfRcMwSe/zqHivf+esILd0jlLy8be/1lmSqtWqbQabhELi57Q7QPjwfGKxmFUy01jNZ5M4MU3mBWXj05X+iAnHV7h7i7CvUCics63HtLW1pRdffFG9Xk/NZlOLi4vmhRBOhuFxi08OoOIVUNuUSqW0uLioeDyuer3+PgWQSqWsz9Szzz6rcrlsh5V9ERzkXWMULOExwsH157OWPjAWb708g3jGROH4ui//O29EfG2P5xuez+e8sMP8o9FJG16UXlSBPS553MbXzUXDCfjHd6kEV8TIpFIp7e/vTx1DKpVKdk2UdALIk4iAf+kxhjBiTPx64WGdpoxnmafHBKMdO9gn9p5eZXjbvqyEtcYIsR4+0eDroDxm6g20D9Oi3mEU33sUnZt9I8TyrWY9iu9bmuBJeW8JRQNj4vV4AJT2KGh9FtjHw4DJXKNdKpUkaarWgiwCf2YVVi7pazQaNj5qhprN5tTxkIWFBWMmfzyBTUqn01OAr98owjYyVv5aHtaQteL5PnPJfGu1mgkNjD4LkWQ4TQh8mOO9GxQTeyKdHL1AYfsQxLv7MLYPBf0ZSo4Mec/Kh0X8YW1mIY//wb/+mRgY6QT34d2sJ4aP5AQGBSNZrVZNUfMO3seNvuwz+wmwjxELw5NurT6B8jheIXMgFEcO/PzgDZIL1Wp1yuDhGZI08YqMPWNsp2FIwCweL41CEI+rbM/t0U1RH/21fTsRYlYUERdAck4N4aKXEi4wrms8ftyOolwuG/PhMoNNUQ5Qr9fV6XRUq9Wsv9Lh4aGdWaNzpa/BmJWRwaPCMLTG59y24Nv2+pQ+lwrEYjE7auJrsbD+vtK9VquZh8Wa7u/vazQaWVbOM3Y+nzeFORgMtLi4qMlkoq2tLR0cHGhjY0Oj0UjlcnmmefqbS6PM4wnFQujuBR3Mj3ojvDyPNSB8YTh9mzJeUzKZtB7oJAN85gqKhgmzCCyKTZJ5J+BDHrjGu0BxnNZ3Hk8gn88rCAK7HswfF/KdFkjyUFKC90EUEVVMnkd5xqwUVaze8Ps6OOkEFwS/ZM+8N+o7rZ42Dh8K++f6TLgP2XzI6I3dLErqXKWEoCaTx4356/W6tra2ptxu7njCDX755Zf10ksvmYCxUdJJDQs/44JGXN/J5Pjmg2q1atq73W7r1q1bhvlQO8QFiXS6rFQqkmT3Xs2qob1nkk6n1Wg07HxQtVpVv99XPp9XpVJRt9vVrVu3FI/H9dJLL2lzc1ONRkO3bt1SMpnU8vKy5ubmdHBwoLW1NVNcZOUqlYoJM90FBoPju9d7vZ7eeOMN3bt3T+l0Ws8884wymYyq1aoxUrlctoxfp9PRu+++q2Qyqa997WvnzrNWq1kNimdqz2jeEvpiSUl2qJjEAi2AM5mMXfvd7XZ1dHRkpRx4joQPhDbSSe/maClANMPlM7TnkU/Pg4WhZL1yRHlhRPwRI/5GoEidMy5JVuFP3d14PLY6n2hjfKCGMAxt/Tw2h+H12NKsxDhRsAD1PqHAO+hLRqaatQbjxXHwQLl/h18f6aQNkd8374lGcSQvjz810J3JZKbAOxit1+tpZ2fHrH21WlW9XresVzqdNiu/v79vfX59NWmr1bLrmGgSxkJxSBSrXK/Xtbe3p+vXr9ullbu7u0qn01paWlIYhioUCkokEjaWx3Ebv/rVr2pzc1PNZtMEC9ca67a3t6ednR3FYjHdunVLzzzzjHZ2dsxrwFu6dOmSms2mfvCDH2hvb09Xr15VOp1Ws9m0Nr7gZNVq1Qoo3377bbuQAKxld3dXzz//vFZXV6dwiWKxqEuXLqnb7Wpvb09vvvnmTPMkPPVhpyfPiL6Sl/CLdY6eCick5Hv+iiQMFfuRzWZVLBZNuH22yoO9HgsBA5tFMXmvy/c5gnw/L0JHMBRv1b0geqghDI97rWOgufOMkB7vkvGTPfVYDUXHJHMe10vyhLInacDzUbq+bi8KVrMveHmMMYrr+bX1v/eZxdNKZ1CWHlPiZz4jF6UzlRJKB2sJrsDpd0Is76LiGb3zzjtTWMJgMDCvASaEoZkkcToLjPcVBIEqlYoSiYRWVlasPshjAIRRCB6ZkVkon8+rUChMpVixoLFYTPV63T6XTqe1sbFhlyc2Gg3DkF588UX9yq/8inZ2djQajXT58mVls1n1ej29/fbbWl9fnyoORQCIyefn57W4uGjCAp7XarW0vLxsAH4qddwru1AoWFnBLEQIXiqVppiCccDIvj5IOml14t1333IFBQbo6Y/jgBfhhVIXI53cOceaeyzrpyU8Bh8y8H+8ARQc/ObBaJ+58j+DxyEyrd7jQGhZU77vsUWvbD3mRKTwuNX5HnRGtihl8KB3FEdiz6KhtT/c7ZU2CihauuH3jPf4f7MWnne8oTuNZgrfsHgeuS+Xy9a+gLYco9HIFJXPcHBcw2tzJoN3xaYQ33MYFuWA+7m4uDhV98QzEDh/8eWs9Up/9Ed/pC9+8Yt69dVXTbEiPJubm1pcXJyaz8bGhoIgULPZtBBheXlZX/7yl3Xt2jUtLy9rb2/PLhaIxWK6du2a7ty5M7VRicTxBYA+e+JPfE8mx2fjPvaxj+nFF1/UZHJ8AcP29vZU+cTa2tpM8wSMfZSV8hkbFJOvcqfZPSFIFOj3rr803R/aPw+h4PN4CxDC47GqWb1e3u8zbTwTT8d7Q1htH756AWJc8Xh8qgQE4UXAUEp4kV4J8AwviL7aHKzuLO/hPPKGnoyZdHKqIlrEyVyjyQU/b8JAj/f5efmwn+94xe7DNv/nPLz3TKWEVQG48+evpGPtSM9tFhTcp9lsajwe20G/eDxuWE8QBHZ5Xa1Wm1JUw+FQuVxOly5d0u7urilC6cRFBlxHyaF8wjC0bKAvXziPGo2GNYgj7qeqmyxRLBZTo9HQ1atX9dGPflRvv/22vve970k6tprlcllhGFrNDWPw4OP8/Lzu379vWRuuoaYbQjabnWqCR9bnS1/6kgnwxsaGrl27phs3buju3btTuMF5RJ+ndrttlztGPYNo3ZPHFbznCSMjDF6APeMjDAC8CIH3mD0I7T0N1o0QhHv9ziKfGkcwCL8YD/PBgPkQy2f6+J0PZSggHY2OL4D0SRX/PdYOxRoVWN4D75+W2TqP/HcoVGYe3tvkc/5vxueB6qiH6pXRac9jvaMKLep1+r9R4md5hOcWTxLKoJS8u41yYAKegWACUqhYQ7IZaHQ62LVaLQsRMpmMNjc37c40Dzz7TSXEkaZPQnM27CwX0VMul7PT/tRcgIdRmNnv9/Xuu++q3W6rUChob29Pe3t7hrPdvn1bW1tb+sxnPqPLly9PCUEYHqd/Act3d3e1vb1tDfSoXVpZWdHXv/51xWIxVSoVZbNZHR4enlo8SfU6x2Fmoeeee06SdPfuXa2urk6d55JOrtSJMiK/B2yPhlqPSgH7UMpbXPgi+h5vmT0PMv+9vb1z5+gFzmeH+B2KM3ro1n/Hp9GZk/8MfOo9LYw184p+x2cQCZskWcIIhfc4xZOnzZ2oJvpzxuSVgVc67IsP3T1fRTNvUcXkAfcorsT3mat09sWiMwWwKBkyDSgUDpXiwdADaTgcqt1uG1MSevGHZxH7kmb1Z9tyuZwJDWA3IK0/S8f7GAfW/Ly41RPXf2PN6YdEsefi4qIWFxf17LPP6vnnn9fS0pI6nY6KxaJ6vZ4KhYJKpZLK5bKN2xcJevyAW4P7/b4ODg6UzWa1tLRkxXgbGxuaTCaW0er3+7p586bW1tbMuyB8412zuv2Li4s6ODiw8oRKpfI+ZmPM7Hs08/Io4NI/41HkM0T++f6dUUXoFcosnhJZVPjDvxtPgsSEP3iLsHDJKfvnwywwM59y9xgJIDNZZPjA3xl4WkgHz3rlMAt57weFQ1+k03A5XyzJHFDCUQPh98MX2kZDMhSSV0xR/vDznEwmtr6PopnCN+Jp30aEMIfBowBqtZpVtXqrk0qlrCtjNptVqVQyK4/lpSE9C1wul00B5nI5s9S456SUwUkorAyCwAr7HmeDWWQyKJPJRPv7+9rf39fh4aFqtZrefvtt20wuB9jY2NDS0pJdTeyzEsTz3LQyPz+vfD6vXC6nRqOhRqOhvb09vfvuu8pms1ZNTiiZz+f1jW98Q4uLi7p69aqBw3iKHjA/j0hWZLNZ7e/v2/pGPR0PxkIIH/+GEWE2bwTYA2+F/VEE/wy//j51z8+80F+/fv3cObKHKHCPc3mh94qG91SrVR0dHVn2mAsWIPBDSVMegS+PobZPOsZzKPKNKgkvxPAv4ewsdJoXRi+kaMbU84c3kCjpaIbNP1uabijn69L8HLxC8jg078QAcPrjLDr3NhOPqNOIjDgdIJwDrYCigIC+jmFhYUFLS0uWUkbBoelRXt6Fx0oCsPI8GsWhILFMZC+Gw6GOjo5mzr75PlG8F+8pmTxukl6pVLS2tmZKi1t9c7mcFhYWpq71QQA9U0TT3JlMxjJ4eHseb0GB4HEWCgXDqfg8dJ6HAmEoKNRst9tWJ+S9HS+43kryLi88ZKV8gaIHUtnTaEYvKnxeaeBR8dmjoyMFwWxXLHlcQzoJn1GIfo3hO38T89HRkRkR+qd7PAneazQaZrDJ9PIHPDKXy1m9ks8qE2V4hcQezLqXXnkQxi8uLqrRaJjhihplH1af9rwoQB81UF7p+Kyd5x2/7t6TpGwBXjnLkJ7rKeHagbV4wY3FYiqVSuZZEFLwe5SUJOsl5D0hJoz1YUFQEGySbybnmZp6EV8t2+l0tLOzo3q9PnNYQ7zrMRAs4erqqkqlkpUDMO/TGsCxZlGrj7VmM2BO5h5tHeHdXgBpwPHTxj5rCt03YovH49ZixeNyHvT1jOPfEVU20knmzns5XtE/6hnRn/Mc1m84HKparWptbc0SA+dR1DPgHewFv/c1S0AK6XRaR0dHphyppEchUdWPgmP98MzxBPL5vJU+AOx6zAeh5VwnDsDjlkPgsS4vL9tFrChbztdFQ2vKECRNJSD4nl+zqFLyOFrUS/KlBczbg/j+fsCfWilhBXmYB7JTqZSy2azCMFSlUrGiQM+UKCDCET8YlICPuz0zesszGp0cw/DHBCaT4+zdw4cPVa/XVavVtLu7q62trcdqX8JC+9QoC59KpczioXwZr6+T8hgI8+DvqIB6l9kLrY/VGUc2mzWPjxDTb6jHPM4j7+3kcjk1m03zXCFfWxYVEL//3rB4K+qV1KNwIh8y+T2IUjwet/5WNAiclTwO5mt2+BlerQedaW+MkaQgFivv0//wNLgjxNVRviZKOtk7n4Ah1PMe3OMC3XhJXHrqw2XkEYPuu22wDtEQzWOLPtz1RseHhh5T8sqIv3me71UOJPMoOrdOyVfFegFA88ViMTtQC2gYtd4+1QpYTdjCxqHVEV5vNfDWwIywNPv7+7p796729/dVrVa1t7dnvaN/mpoPL1AwHi6nr6+Jgu3MUToRPK9c+L//THR9/Hd5N0zjlWWUSR7HshLujsdj5XI5q0guFAqnYhQ+ROOd7Jcfs1coHhPiOz6j5ufm1ylqyflss9m0dZmlsNDzjwdg4V1q6HiHx0sISwuFgoXQ/I5kC5/HI2m328Zv3LIcXQeAXX9TzGQymeqO4LOFs5AP3VZWVpTJZKwrB8+iUyljABPi/d4z8vVMfl+iYXb0974kIuqVIUe+i4CXsUfRmbtcq9WUy+WmMIEoYk918WRykm3weBCbw2B9DQm/j8a63nLwWbIaHMptNpu6deuWdnZ2dHh4qEajMVUKgADNQlgVX4DGGHxKm/HymWh44sl7XJIeqbz8vx+lyABt/XN8gmDWeXJekO/Mzc3ZYWOY06eDfY1OdKzSCdjLzz3465VbVMl58nvOu/j3aDSyAtXhcGjn9s4iz0v8kTRlmX0WzHu1rDFhGpefciCa/mFeoXKGkzY5GGVCNvbGG2xKaQino5nCWYgoJJvN2mkH74Ejo6wdISprwxwI5XxDuqi3JJ3sncep2HPftkaa7jKBUfcy4z9z6tzOmvje3p5puuhkWZioZfUHIrHw/jYKJuK7+U0mk6nQjw1l8QBlG42G9vf3tbe3p62tLd29e9fOyLGwvgxhVqvjXV0Y9FEhUVSZ+M9GwzDGzxpF8RfWLPp8H9Pzf5/ZinoWszK0B3uDIDBMjjAuqjw8XuCB0KggeyaOFhJGAf9oSIAhiGb8yHxRWNrv9/Xbv/3b586RkB9PwXviPmRjTvCaN54+8YKC8qC4dHKbDHVJHtf0a8g+cwg7Hj8+clWv1w0rRRFL0pe+9KWZ9pI+Wtz2w1p7JeIztMgbMst+EJKyLtEaLSgabvv983vtQ3OiCp9YwOj983/+zx85t2BWPOKCLuiCLujDoMdv63dBF3RBF/RzpAuldEEXdEFPFV0opQu6oAt6quhCKV3QBV3QU0UXSumCLuiCniq6UEoXdEEX9FTR/w9H0l1QjQJMewAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "oZ1dqLc9DRof" - }, - "source": [ - "X_bad_faces_pca = pca.transform(X_bad_faces)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "Bu9fZXneDRof", - "outputId": "f9551937-0a67-4a2f-fec6-cc367bff53c7" - }, - "source": [ - "gm.score_samples(X_bad_faces_pca)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-2.43643215e+07, -1.89785007e+07, -3.78112400e+07, -4.98187827e+07,\n", - " -3.20479233e+07, -1.37531167e+07, -2.92374130e+07, -1.05489348e+08,\n", - " -1.19575691e+08, -6.74258528e+07])" - ] - }, - "execution_count": 210, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "yvDSPw8FDRof" - }, - "source": [ - "잘못된 사진은 이 가우시안 혼합 모델에서 등장할 가능성이 매우 낮습니다. 다른 훈련 샘플의 점수와 비교해 보세요:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "6FPy86ujDRof", - "outputId": "7d682341-72bf-48ec-fa83-7b0401b6779b" - }, - "source": [ - "gm.score_samples(X_train_pca[:10])" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([1163.02021 , 1134.03638011, 1156.32132914, 1170.67602799,\n", - " 1141.45404884, 1154.35205159, 1091.32894775, 1111.41149481,\n", - " 1096.4304912 , 1132.98982702])" - ] - }, - "execution_count": 211, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "n-JdrzP3DRog" - }, - "source": [ - "## 13. 차원 축소 기법을 사용해 이상치 탐지하기" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "VGZX6GEuDRog" - }, - "source": [ - "*문제: 일부 차원 축소 기법은 이상치 탐지를 위해서 사용할 수도 있습니다. 예를 들어 올리베티 얼굴 데이터셋을 PCA를 사용해 분산의 99% 유지하도록 축소해보세요. 그다음 각 이미지의 재구성 오차를 계산합니다. 그다음 이전 연습문제에서 만든 수정된 이미지를 선택해 재구성 오차를 확인해보세요. 재구성 오차가 얼마나 커지는지 확인하세요. 재구성 이미지를 출력해보면 이유를 알 수 있습니다. 정상 얼굴을 재구성하기 때문입니다.*" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Jz9Fcl7tDRog" - }, - "source": [ - "이미 PCA를 사용해 축소된 데이터셋을 가지고 있습니다:" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "bIh1SoF8DRog", - "outputId": "a98e8041-406d-42dd-b479-c2e805152aa8" - }, - "source": [ - "X_train_pca" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[ 3.78079820e+00, -1.85478783e+00, -5.14404345e+00, ...,\n", - " -1.35626271e-01, -2.14086279e-01, 6.11932427e-02],\n", - " [ 1.01488419e+01, -1.52754605e+00, -7.66981125e-01, ...,\n", - " 1.23930663e-01, -1.35260880e-01, -2.32627261e-02],\n", - " [-1.00152855e+01, 2.87728739e+00, -9.19881105e-01, ...,\n", - " 7.26118162e-02, -2.96031404e-03, 1.24887630e-01],\n", - " ...,\n", - " [ 2.47587585e+00, 2.95596790e+00, 1.29985642e+00, ...,\n", - " -2.09106505e-02, 3.48509997e-02, -1.54325500e-01],\n", - " [-3.22031474e+00, 5.34897757e+00, 1.39427149e+00, ...,\n", - " 5.75551763e-02, -2.28310779e-01, 1.55573860e-01],\n", - " [-9.22876537e-01, -3.64702821e+00, 2.26087856e+00, ...,\n", - " 1.36852771e-01, -6.91269413e-02, 6.26907572e-02]], dtype=float32)" - ] - }, - "execution_count": 212, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "-g0YlU2SDRog" - }, - "source": [ - "def reconstruction_errors(pca, X):\n", - " X_pca = pca.transform(X)\n", - " X_reconstructed = pca.inverse_transform(X_pca)\n", - " mse = np.square(X_reconstructed - X).mean(axis=-1)\n", - " return mse" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "suH8UlTQDRog", - "outputId": "85de12ff-2af6-46a5-e5a6-5a25d271a07b" - }, - "source": [ - "reconstruction_errors(pca, X_train).mean()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0001920535" - ] - }, - "execution_count": 214, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "fKZOLHPBDRog", - "outputId": "3ea6f749-df9e-4f55-cb8a-f919de9f7a93" - }, - "source": [ - "reconstruction_errors(pca, X_bad_faces).mean()" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0047073537" - ] - }, - "execution_count": 215, - "metadata": {}, - "output_type": "execute_result" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "z_Od-LALDRog", - "outputId": "901be062-559a-4e41-c529-1dd73a1db0bd" - }, - "source": [ - "plot_faces(X_bad_faces, y_bad)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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ZVKPR0NHRkcX9WA4AMZh0cXFRo9FIzWZT+XzeNpm/EVom6zEdrxzZVN6xubmpSqWiF198UXfu3NG9e/e0tzdb/zSPCfFOBK/b7ZpXQ+jU7/dVrVbNA8LzyWazWlhY0Hg8ViqVMo+LkAKFi/fBe4jRAQ6xXHhtKCmvoBFi1nkWymazU6ERSqbVamk0Gqndbk9hTmBhhUJB5XLZPCeUKF4SfxO6+rDSA/N4j51OxzAR4IFkMmmKeX19XZ/4xCe0vLysMAz14MEDJZNJzc3NaWlp6cw5gn2BgxGeLS8va2NjQ6VSSSRv2HeUs3QS/nnewKjAez5U86E9+A7GBMFut9u6cuWKXnnlFd25c0ftdlv9ft8MHYo5ioedRZVKRbVazcL4559/3kK2wWBgeA8K2sMlPtkBZALsMRqN1O12LUpBvjw/osgxQsAKrId0Av14Hi0Wi/r4xz+uVqulq1evPnJuM4VvWIbBYKCDgwNVq1WLR3u9njF1MplUr9dTsVhUIpHQcDhUrVYzoSHUKJfLevfddw1I7/V6arfb5g5CHgglbOPnbDjKinh2YWFBzz//vNbW1nTz5s2ZNhjlClOwkHgxnU7HsJhOp2NYSqlUss1fWFiQJPM05ubmpsIjv8m42HgfKB42mTkmEgml08d9xGAOhAmviTBnFiqXy1PzQ4BarZbS6bQSiYQWFxfNWqJYvDX3mVhAzFQqZWuEx5lMJpVOp23eKEO8QTwGQjjeUSqVlMvldPPmTd28edMAVxTISy+9dOYc8YgWFxe1tram9fV1LS8vm0eLYOHxj8dj4x0ULeNnzN478FkqPAeED8UMX8K38/PzWlpa0urqqi5fvqxaraZarWaguCTDq2ZNWiwvL2t/f1+7u7tKp9O6fPnyFJaL14XHTSiLEel0OuZVEqEMBgM1Go0pniJJBWwzGAyUyWRsznyGfcc79t+D56TjZEur1dLh4eEj53amUmKRccnb7baq1ar29vYUBIGuX7+uQqEwhbiTbUFg6/W6Wq2WIfmg+c1mU0dHRyYEeCVRy8rCIpSQt1R4Wt7tTqfTev7552fa4FwuZ/PFG8Sj8Z4bXuLOzo6lyJnX0tKSeYRYXywVng9gcBiG5pF4QBxPQpKl2KUThQRj4XUCmrPx5xHhrFfq29vb2traUqVS0erqqpaWltTr9XTv3j1Vq1V1u13l8/kp5cu/2ZvBYGDeCd4USn1+ft7WFQFhXZrNplKplNrttmKxmNrttvb29tTr9ZTL5cx79J7LefTKK69odXVVq6urWlxcNDyJ8hTpGCRutVoGQKNgvdEAI0EYo2C8pKnvoZzw/ADBKQ9gzxYWFlQqlbS7u6v9/X09ePBAmUxGuVxOlUpl5rkWCgUlk0ndu3dPn/vc55ROp6e8T0J0cCE/zlgspoWFBcv88nvmTAjqsV7mjQyihHzmznubeGJEDih3El1/9Ed/pN/6rd86dW5nKiXSw8TzjUbDsidsymg0Ur1e13A4VDab1e7urhYXF01QSH2DzfDdfr+vdrutdDptLixW1WedPK6FIHi8woN23psihJiFwAv4HlYcVxjhH41GarVaplhRCL1eT7VazeaNxcJaeQtCFg3mIUULkN7v962kgMwKzwLvAIsj6zMr0M33MALNZlOtVkvScfr+wYMHphwajYZ5iq1Wy5jLCyQhEpgDwk/Y5kMjvAesODhOq9WaykglEgm1223zwEjl+7DyLPrlX/5ly356/pGOjc79+/dVq9W0tLSkTCZja+9LFsCgPCFwPkngPSc8AYwjSQUMNmAz6xMEgTKZjB4+fKidnR01m00rTZmFqE/K5XL66Ec/ajzKWmLI8FiQExSW96IYI94hzojHt5BbPERC2mw2O+UVkbSRZO/wWCRruLq6+si5namUms2mDYLNq9VqltpsNBra3d3V7du3LeOG4qnX65YC9x4QE+j3+zo8PLSJA9r6bIAPc3A1iV0RChY1Foup0+mo1WrZ92YlPkvhY7VatT/NZtMsNsqq3+8rnU5PzaXdbls46utEYGbCQx+OsD54S1gulCRuNRiS9H6cj9qhWQjlxXrl83lVKhVNJhOVy2XdvHlzat0oFCS89ZgBn0N4sb6ErQiG9zYwPHgM6XTa1sITRmo4HKrRaCiXyymdTptSPYtI5YN9+FB0a2tL9Xpd169f1/LysgaDger1ura3t9XtdpVOpw16QKkxX+8JQB4j5P8eF2JPIYwTn5mbm9OlS5dUKBT07rvv6v79+6pUKjPspPSHf/iH+kf/6B/ptddeUy6Xs2d6zxsPjTWg2FWSZRJbrZZqtZp9Purtw7f8HPwQRYZyBX/0yh3Z9Lgc6/i5z33ukXM7k5uJ92EI4t56vW7u3+HhoVqtloU2i4uL2t/fN21JMWFUiNgwvA5Cu6g19sV4LCb4C5YQEJLP9Xo9zc3NzQwcIlBheFzpyxwlWWYJoQJTm5ubU7fbtVCGKnYsnbegvqTCKxvv7voCOq+Q8dyOjo40Ho8t/eqB8ccBSJkveFUQBGo0GqpWq3r33Xe1vr6uMAyVz+fVbDZVqVQMQEXxIqwoZY9ZMD48JebLZ7wHApNT1Aj55Ea73dbOzo7S6bSF2WcRvBr1kg4ODnR0dGShUiqV0uHhoW7fvj2115lMZur93gP0oYx04j1hOFBSPhz3yQvq0Hw0QMiUz+f1zjvv6MGDBzPt4Y9//GMtLS3pc5/73Pu8IN5LXRhz6PV6ljDIZrNWzgB0IsnAd2QMELvb7WphYcFOVJCtQ/EvLCyo1Wqp0+mYAsSIsR8opiAIzqw5OxdTQhgJmVqtllqtlubn503L4qHcv39f9+/f1+LiosrlsnkM1O2wkSwcIRaLBy4FphN1O305vwch+QwKAmD5cYjFw0KmUik7igAu0u12Va/XVa/Xlc/nDR8C8B8OhyZojA8rxfr5TCYeBRYUbAamgZEBhLFOZPkeVyH5wjcfUo1GI73wwgva39/XtWvX9Oabb5oX0+12TYjxVLwQ4g1GhYJQDFyDfcXD9VlZSVOlDXjnvV7P1oHw/zzKZrPvs/KsP+Upc3NzOjg40P3793VwcGAeSzqdfl/NGjzr/zA/nwBgXfi8xzxR0siTTzKg3OPxuLLZ7MyQA9gPIZMfJ7/3yaB0Oq1ms6nRaKRSqWTyFo/HLZSnBAQZAprAUy8Wi+bFUhKTzWZNqY9GI+NT1iNah+Wxt0fRmUrJp8gBfRHMfD6v4XA4hb80Gg2NRqOptCwC52NqBBUNzcKSWsU9xMqQsWEyvnYC95nF5x3S6WesHkUwhz9rdnh4aJsB2D4ajUwBUcfkvQNqO6IeAWlY5uYVk1fEmUxGhULBKsZ9JTRgLd4UHka0APFRhFLxIRgKYmlpSb/0S7+kzc1NPXz4UNVqVbdu3VIQHFckF4tFU1SeP3yxoveeYDqvuNhfigf5mSTjEUlT3ma/31ehUDD86TzyzI7wsweMK51O6+7du7p9+7ZBD4PBQJ/+9Ke1vLw8lQWVTs4ZeiXl34ESlWS4Y6PRMAPjFTXhDCE4EYIkO54yC5XLZV2+fNmy4D7CkGS86E83jMdj7e/vm7e/srKifD6v3d1dvfXWW0qlUspkMnY6Ynd318p8WI+9vT3VajU1m03DGfGgyGpSzoNi9CFwFBQ/dQ/PmjgAK8yB4CeTSX32s5/Vxz72Mb377rv61re+ZTF5s9k0C+KPTcCEvqIZENmHNZJMoVFkR30NWjiXy5n3xSLwXYSA0GcW4jgLVbCdTkcHBwfa2tqyhe50OlbkJ53UepBWDoLA6nywjj7zFM1AoYRZC/AXcCmPsXmMrlwuWwYO5TQL1iLJEhYIBthOPB7X3bt3tbOzYxmclZUVPfPMM4rFYmZkAIC9cQEQB9z3GVvwRfacc2Nra2taXV21fZ6bm5sqSPQeRr1etyLVWfdSkgkG8wbAL5fLOjo60t27d3X//n1tbW3ptddesxDVe1oewIai4LDPFgNvVKtVtdvtqXOCQAz+ZAAGHY/DF1WeR88++6xVi/t1Y3/hG0kWemFUUGTvvvuuEomE7ty5o729PU0mE12+fNnGTEj/qU99SkEQmNwRit27d88SPJlMRpubm8a7rBuGiDX1FfOPojOVEh6JBzkpgrp27ZrW1ta0uLioarWqw8NDUxgwBAMjJPLegy+YZPAIQDKZtNQptRVsYKVSMQYFyEMp+IJAgNZZyKdE+T9KgecQRi0sLGh5eVnPPvusVSQT4uH14dHAwDAMlssXrnHcIplM2ubiifl0LqHk5cuXrbYF6zhrGtnXHAFYklr+9re/rVqtJrolTCYTra6uam1tzXAkQjjvFTYaDaXTaVsjSabAfMkGNW5vvvmmJpOJlpaWjB8IYREa72UNh0MzdLNkpvCMWDv+nUgk7LwV1frwYLPZVDqdVj6f18HBgZU2YFB96AZf+0JfBJ36G38ujfo7ZAivq91uW9iDl4mnMgu9+OKLU6cEMDQA3V5ZIT9zc3PKZDKan5/XM888Y+UtCwsLWl1dtcTWvXv3pmT96OhIg8FA3W53CtJYWlpSLpfTysqKLl++bAWd4E0obmCLKM73SD4965e4ndLJ8QTpOBX9ne98R41GQ/1+X3fu3LG0sRcYMkuAYWhLlAkTB90nFZ5Op+1QJJmuRqOhWCxmh2dB+3kXCsTH+7N6ENE0L8/BCwIQlKS1tTU999xzunz5stVk+cO2/vgAHiaM4ZUbID+eFyfWYTI8hyAILKx55513VKlUVCwWVSgU7FmzeoQ+k4kBoOL59u3b5pHCnPl8Xpubm7bO/kwYbWUQUJIbWGRKGzzWR4V7vV5XrVZ7X+jBmADIAZ7xuB43o+rDmU6no3q9rk6nY5X4165d04svvqjf+I3fUDKZ1OHhofb29sw79rVY0okHh1eNspNkyYKjoyM1Go2pspX5+XkD2FHAw+FwynOhUHXW4zTr6+umMKNlCVGPczKZWEcLsq3JZFJXr17VysqKJRPAiwGrvUdMseVkMjHcLZvNqlgsanFxUevr6+r1ejo4OJg6euMTPWRG2Z9H0UyYkj8tTUVvvV7XX/3VX1kLh/39fQtHcPMB46jSTaVSxhgUzuEV4eKSli0UCnZebjgcam9vT+PxWNevXzdPifd5cM0fB5g1Ve4XiFDTZ7Y81kWYRhYCBksmk6Yc/KFlFBGKxtf+cHg5mnZnMxkLldZzc3O6efOmyuWynnvuOXvP42BnHhdh7Tc2NqxQUpKdzM9ms9rZ2bHuAB6YPTw81P7+vp1+73Q65gkSWrOOvAtvazwem1LCiDEuQh6fTSXU90rmvL2Meo88F4s/HA6Vz+f16U9/WuVyWZPJRHfu3FG1WjXlQZjigWrCbbJajFWabifTbDat2vqZZ55RpVIxrFCSQR2EtXivs55jpBAWPJZss/difdoegHo0Gk2FwtQ6EX63Wi2rO4SGw6FKpZIZaBQSBcRghNVq1eYSPZ7iEwfI/aNoJk8J95PDjWBDWAVOkPf7ffvM/Py8SqWSVldXlUgkzKWlipi2H4RrCEi5XFY+n5/ydLa3t1Wr1fT8889byANmRXbA12XAKI+bKpdO2jlg0WA4cJIwDLW/vz+l9WE0n/LEExwMBmZ5GDtCgbuOQvJM5IFxPJpyuax+v69bt24pm81OhXKPS977WVpasozM2tqaDg8PdfPmTfPkXnjhBWNqcEWyrt1u1/a80+no/v37arVa+shHPmL762utCFMkTR1N8VkZDIIkCxVO6yhwGiGAeL8egAYvhEdarZZu375tPFir1Wx+vjzDZ9JQaiQ0eD6fITHDeIvFotbX16cKiuETwjiOL0maCcyXZDgchtJ7NYSZPtOLAa1Wq7bGGE6fvaYiH4/Jd42Ix+PK5XJTBa0os263q52dHVPW/gQGYwFvPI/OVUpMGKAW9xyAjvoEAF68m0KhoPX19al6IZhrcXHRmrdJx64vGjca/uElJRIJKxLb39+fyvYA6sFEMOGsHgRWxYdxPnMjaUopJJNJA00XFhYsNPHFnYPBYCqryKYgyHgSfMd7UT7j6ZXixsaGyuWyeYPxeHzqOMp5dBr2FIvF7Dzi4eGhPvOZz0iSvvnNb+rWrVtWQ8Z+0EeIsATchXCz3W7rxo0bCsNQq6uryuVyU0c1wBXgKaw8QgH47Us0qC6eBQT24anPxC4uLlptHXxK0evu7q5heYzLh5KQz65yVhD+8a1owFbX19etQwYeI3vAunP2DHxyVp5ljTwgfxrgzd8+21etViWdGFqgD7Ag1qBWq5kHTRYWr5Ksbzwet6Lq/f3992W+fdmKLwc6y+s9Uyn5DUFA0dA7OztKpVJmYQeDgbLZrCkWskT1el2j0fFh3fv37yuXy1nXv/X1ddVqNd24ccMYgcVDi1M4eOfOHc3Pz6tSqUy1m8B6eQsZHfsshJCTDcpkMiqVSpaqJ8zpdDqmhHBhE4nElMdDqIFn4PvuUIRIWOctuW/f4j0lLF4+n9fa2poGg4GlZZeXl99XET0LEZakUinlcjlduXJF5XJZGxsbNo9vfetbZolv375tyokGZmRjsIwU2oZhqK2tLd27d08rKyvG/HNzcyoUCoYxgnX4Q7yE8h4roQxjFk8JQcXzgh/S6bQKhcJU6xRwvWazaYYEJZvNZi0M8eUwZBPx9jzoTfhL+p15EP77Q6wUHCIb/lmzEMA2e0nJA8/2ZQy+/IJ9qtVqxufwG8onDEPt7OzonXfesTAbrw7eZ5zdbldHR0fa39+XdHL0jCjDZ5yBJXxN2mk0U/HkaT/H4q+srGh9fd1Cs6WlJWWzWZVKJQNNY7GYdnd3zYuYm5uzmLjX62lra8sWCMWA0FIr8fDhQ00mE33sYx+zE99YT06Z0z+bEoFZrQ7VrnyezAL1JngJHHcA7KMxGCEICglFiaKBkdl8r5z29vbMS/RHFvD+fHHhzs6OhYO1Ws3qiwqFwkzz9Jk6X5SaTCZVqVRUKpUUix0f1wH4pB85wHWhUNDCwoLhfj7T2e12VS6Xtbi4qF6vZ9gE4Xk6nVa5XFapVJrK6sDgjEXS1Hd6vZ4ymcxMmSkfwnhPnyQMoQfKs1qtamtry3COeDxuhZQIKkJGVrZWq1liBiyR9ssoaT8f+NFn71AUnHBgXx7nFAJhPokfSlu8UkZxoRRQyigTjDEhaa/X0/7+vra2tkymfE801gSlQ8bRRwZU1cMbzB8ZQMk9is71lKgm5vAo6e58Pm+FVGtra6YocL9Ho5FhR/l83vAlPCmYD6tPShxXFkAUxSCdVKlKsiMegHO4+VgjFMQshEUmo5dIJMwbiHowPmyE0cjmMC5wCc7J4VrDhJTvt1otPXjwQDdu3FA2m7XGY4Rnkkzx4vKmUimtr69bZrDZbFpLkvPIF/EhBP5cUhAEllAgTAYIRthgJjxKKrP9dzY3N3X//n2zkh7oZG/Acfy5SB9ueQVFVuoscBSiFMAfTyJUunTpkgkEz8zn81bHQ3ZqaWnJBIkQJQyPOzj8+Mc/1v7+vq5cuaKVlRXz9vDiMFokiPAI8P4xNGTe+L0vn5iFfK0az8G4UqLhlbok85Y6nY7hXsjQ4eGhDg8PjUcuXbpkx3wo6CV6YR/39vamlDZ/41x4BYsz4hXlI+d21i99Ch/Aj5/R75jYv1Ao2Jmx3d1dVatVHRwc6Pr161pZWdHq6qpZVzaO7oXLy8s6PDy0M2seUGy1WlbURYg0Ho8t69Pv99VoNKzqmjHhMs9CCA+WBuHPZrMGSsOkLKo/4xS1BtQZ+fIAlAFgIgAwAOvBwYGCINDy8rKFMB5f8UrKn92i7ccs5IXfj4t/IyAI/+bmpl566SXDT/AAfMkCTOhruDY3N6cKHhFs70GgZPwBVRQRYTxhU7/ft5DrPALExjiRnKD4b21tzbBR9oNkzOLiooVteLy+k+jR0ZHeeustXb16VaVSyXgYoffYEeTBYLxcPG8EFQNGPc8s5Gun4NfRaGSdD/BckVeUYhAEJmfD4fGJfjyt0Wik5eVlraysaDweq16vWyYSb6nT6Zjymkwm2t/fV6lUmuIFvFB/rInaNY4NnaWYzm3yRhUxqDnFf0EQGC4EIFgsFm3wi4uL+uQnP2nntJLJpKWVcf9A8JeXl3VwcKD9/X3r3T2ZTCyzF4/Hde3aNYtFYWTcYdKUhEaeqWchlAl/yDQuLS0Z0Etoh1ICT/I9k/w1SKyRr/Pi//6oSbvd1sHBgeLxuGq1mhUJ0qsJBqR+C9xuMBjowYMHun37tubm5vSpT33q3Hl6PMP/P1pkmEqllM/ndfXqVSuGRVCZR1Rx4M7H43HDvlAAjUbDEiS4+FHcAe+GffV/8DxmIV8Z7udL6QWpbbwWr1AwvL5JH8+p1+sW2mE4wAzxWvr9vgmo7/CAN9Vut23fOa5FGIiymFUp4VXhKdHFlWQDe8p6gEtKJxhUPB5XpVLRtWvXdPXqVTt7mUqltLOzY8qYtS+Xy1paWlKxWDRlR9ImFjvuHcUeey8ZD2k0Glnl+lk0U49u/u09ETwIFoDm8CyYB2t9Z0QPvPX7fe3s7FgsfvfuXY3HYy0vL9tG8z7CGOJcf3yDgjhfvAioNwuB8ZBRxB2mVgow0mcW8KxgbgTHW36fyfPxNALJhgEiUruFUJGpAlwkSQAAn0qltLe3N3P45j0qX3HrK4CZA2GAVwy+hoo1YE/YT9x5PBSyiZJMuWMl+R7C7b0p1s2/bxYjg2BCHvSNhoHMnSNU0nS/dogwLAxDvfbaa6ZE0+m0hfAoMMBiX1pAdurw8NAUJEaH97EfsyYtWBdCYQwjBYzNZtOiD3BNxgSmtbCwYBX7tLHmWdJxxtkX+YJ7+hA1k8kYvOK7fjA2PLdEImHeJQrqUXSuUmKxsYZYM7yZyWSilZUVJZNJvfPOO1NHKRBGBItQh82gnw3nmzqdjn7yk59IkoGuuKK0r9jc3DQlwvvZJDIlvGNWoNuHVr7mCbeYalwuq0QZt1ottdtt23QvENG0NBgX3lQikbACxWeeeUY3b960FqHMY25uzrwj32iP+9VYm9NS/Y8i1sXX2BA+MF9qoShypUzDA/nSiXIGF8LjPDo6UrFY1PLy8lRdCusM3gLm4S0pDAxTe2s9i1KKrj/j9IrNA/w+pPQ4FmMdDAZWuU97mtFoNFUgzO8xarlczsBv5kjGlZAV40xBpy+9mYX8XJAt2u4kk0nDJlk3ZAZD32g07Cznw4cPDTfECCOf7G8QBNrZ2TEdwD7Trz+VSllrFM9f3W7XIp5cLmc1bWfRmUoJBkwkEtY/iD+kB4fDob73ve9pMjm5SgehglFRShwZgRnwMKgXASSuVqvm7lM/sb29revXr1s2D1cbwfSbiWKcVSl5LwDL5ntL+zNDnOnyICaW01dtEw6wid7b82BrJpOxKvX79+8bHpfP561PFd7bcDjUgwcP7P8PHz6UpCnBP4u8FUZ5+3qw8Xisvb09DQYDFYtF7ezs6M/+7M9UKBRULBatLgtF4jEVLHCn07EbUAhvmT8N86STinI6ADA2D3bHYifdLWetzvc1MAitP62Od8fzfeiIYvKhKcau2Wyq0+lYtk6SVdkj9F5BkKXyVf0oCIwISnw8Hk+1j56FmA/JgrfeesvOZB4cHOjg4MCKdnmnbxQ4Hh9fkZZIJKwtzMbGxpTnjxLzdWrsebfb1a1btzSZTHTt2jXl83kLx6Prz97u7+8rkUioUqmcqZjOPZCLhfahkBc6LDY4CwqGSlzwJpgeXAIwDO/JVwUTAuAFlMtlPfvss7YJWDA/Tg/Ko0hnxSEA01Eq1BWxoaT/fW0RCptT/T48Y0MIQRBKGNCHJGQaveW+e/euGo2GgiBQpVKZAtQJJX3L3McBR6Njk046PVIAx40zly9fNk+hXq/r6OhIuVzOsqhYXzxiPCt/oNYLPbzj+Qnr7EMq7/mhSB6n7gzB8ApOmhZk3uUrn1FgUQWYTqet2juVOr4qiTIUvlcul630AAOLJ+yxMjwjUuh4NXhJi4uLM88xFotpb29P9Xpd6+vrKpfLJjt8xld8AzfAa76kptPpqFQqWYgNf/u1QVl3u10ziM8///xUWyISRX5tMGKlUsn6kFPXdBqdC3T7QjFvOVqtll0agKWo1Wom1Gwgiwej4b578BjvI5PJqFqtmmtLASKgnCRVq9WpWiRJUwrSA8qzhjWEQ8yZeXvFCmbChoFf+bCCNDk4kScwluiGt1otq/eYm5uzc2YHBwdmqbxFBeuqVCp2m0Wz2Zxpnn4vfM0Mqd/d3V0TWC57mJ+ftzooiiL39vaM2QeDgWEMlEmQifHFcz5j6YWF9LHH3vDAfajoU/xnkT9zhQKPeibgIih1+NUbHW/1Ae/xHjqdjnnLtJRhnngUrBehKWEcYQ5zQSGjlGYpe2Auh4eHqtfrevXVV60XE0Ydz8z30/f4YKFQ0GAwUD6f1/379y2kg9+Rdbwkxktipt/va2Njw7J4PqT3UQvYsCR7VqlUss60p9G54RsPSyaTBmShcFBEKKqDgwOzPgBtc3NzWltbU7FYnOoRnUgktLa2ZlcgU9lLKTtej3R8c8Py8rKazaaKxaJhIDzLZ0k8qDyryy9NH1SFqb0byg0YPhvBRiNsMDt4g4/5sdD8n/NO9XrdhCVaxgAGxZ9ut2sM02w2rWvirOCox1v4P3t18+ZNHRwcaH19Xa1Wa8r7pNgQQ0FNCy1N8HYGg4H1vkboUSaEu76cgBR61Mtljb1H6fHDswhlFDWmZLvAAKlkptiQ5ItPluBNAD2Mx2PduHFD4/FYa2trJuTAFYPBwIpp/R/WyJ+QJ3Hhfx+Px2c++zaZTLS9va2XX35ZyWRSrVZr6rAw/EJ2zBt6jAfhdrlc1oMHD+yUxtzcnOr1uilrPJ52u63Dw0PVajU7sYH36eXC18MRsbCGNIj8/ve/r1//9V8/dW5nSi3nybwVQ/nUajU78gFITXsRwh1fIYo2JetA7B6Px6eaty0tLU3dhUXl8507d8xziMVi9l5qKAgTEYLHqVMiW4QgYk3wTtrttmXHCOuSyaRVGftiQMIqFI+fJ4KJsFKHhcuNZfOWlPAJobp//7729/fNS9nY2DjT6pxHQRBY8zUqxTEy3pqzrmQk6WAIqMua0xOKmiKPqflECWA32JQk8x5RlggWHRVmnQ88K00fKidERdCOjo60vb1txYLPPPOMXS+El4Aip5L7Bz/4gbrdrr74xS/qypUrphB84gDvB4EE2uA5nOMkjY/R8r2yzyPWKZU6bttMUSY9872HjXcOX3K9FXJWq9VUKpV0dHRkxbnSyY1AePncV0dhMR4UIaDHzHxCAaU1mUzMKNy7d++Rc5updYkXdha2Xq9rdXV1qt7Eu65kXkgn0meFNh2kUxuNhnlUtFz1J+1ReKT4PcMzHg42esb0+M55hIuJImJhsZzNZtP6j7NJtGRhbFH3GOVMxgGgnPexmfSwAbOhSpYNZf4oaNqKSNKVK1cUi8V0dHQ00zxZL+8xMT+KBqVjhifmPzo6Ur/fNwOEJ5hOp3X//n0dHR1ZXx3OPCJkzNVjhx509mG95zeP9cyKl0H+PJjnAzKmjUbDjkZw99rc3JxqtZp2d3f10ksv6dKlS+YFoCQymYxWV1f10ksv6c6dO+/bX1+HRGKIOSWTSUu5c2THQwycr4TnZyF/IQCJJwz4eDw2T5WyAIy/dNLuxHf/pJ01nQ183R5j3d7e1mQysfo91pXzraw1yo/aK3gNHvSthk6jM5WSBx0ZIFY92h+GNqCj0UjFYtG6+RWLRTu0yvVMHKfw4Q2ejvcuxuOxFVxSNoBlwePi/z5rgts4a3qVefo6I7IxhKE7Oztqt9uGg7DovngSsJcarvF4PFUb47EUD+5yS8re3p5lKGkMhovdbrdVq9XUaDSUz+e1urqqVCqlRqMx83EaX5CIB9Hr9ayx2dbWloUrvJfKfTAXjBDdC0ulkm7duqVLly5NVaBL016KT1xIJ8dbfAkAf/C6SL9DsxgZX0+Gp0yIyrVZPIt0djKZtHT6/v6+Pv/5z+vZZ581gJZM7vLysj7/+c9rc3PTSjU8ZsXewwsYnM3NTRNQlDResy9DeZzSDo5+sYbwCEkjbh8CwgDrZWyNRkONRsOaxaFcb9y4oevXr5v348Hufr9v5z8peSB6YK9RyHQ0JQQETyLCOQvQP7dHt88cSTKNXCgULIXsb8HkD1Ypl8spDENrVfLw4UNriUG1cL1eV7PZtAvqSMMHwXF1M+DalStX7EAo5QLUT/kMDxt11klkT3g/PobmOQgnIRVgIq16YSRwF4A/apjoSUMIAk7BM7kRhtoQPEmEFcyj0+lof39fzWZTuVzOUtGEnj8NwXBBcHzbcalU0t7e3lQq/fLly4Z3+OJPDMiVK1fsggWUsz/nhhKGyQeDgQkACQSfBcTiesVOODWLFxF9HmvUbDatVSvjwcL7TOBwONQPfvADu+EEI0n4ThMznsE64EVytgzvd2dnxxRcIpFQsVicarNDCQFZzFnb4aLYgBwwpr7dCvMCC47W4LEfdI9cW1uzwkvWjbHBu2BD1B4RJqIrKPWgXILutISSjPksQP/cLgFkHwAQvfIZjUZ66aWX9Gu/9mv65je/qT/7sz+zRUIw8RImk+Py/fX1db399tv64Q9/qHv37qnVaqlarapSqRgAyQYmk8edKzns+8ILL2htbc0yGWStfI0LE36c8A3FhjXw1tpjZVi7brdrHiD9ownR8ApJq2M9+R6hi38nNUzUA3ncxdfLhGGoUqmkjY0NCwcex7p6ABKKxU6OB6yurtq+UTQHBuI9Gawv6WGUSKFQmMpEIrA+LS3JMDiUEnyFcHmvDJCf9ZuFfJ0ThBJCedLFQJLVn0mygt53333X1mU4PO4Oye26voanVCqZN0+JBD2LMEQHBwd2NANFwVw9bkkSaRYiPAQkl07CcX/DEDgh2VQwN8bhu0xSi0Y7YOaE/NIumQsmvHJBefX7fa2urqparZqS4vAx2WwU4qNoposDoGgtT61W0/z8vL773e9qd3fXLD4pZLJLdJIEmLt06ZJu3bo11Xd7NBoZgEtRYTKZ1NLSkpaXlyXJGIfsFgAvYRJeiM/AzUKtVsvCQTaMzAUdFiXZwu7v75sQ0b4EZc0cyYph4WEQMCEUMPfH4e2x7r7eajQa2V1w6+vrqlQqhs0Qss5CPlPJ2lCl/Z3vfEdbW1t6+eWXLSN2//59jcdjvfLKK1MeM2OFyTkk7TE1lC5CMDc3Z03myQJ5RUX2yhegRuvGZpkn82JsPqNHSOhDpna7bbhYpVKZqlbe3d3V+vr6FFjNPuLZBEFg/A6cgMIiDAeAJiFD8sKXzfgQcBYitGdu/f7x3W1guBTBLi4u6vDw0MJWTibAi9Q4ARcUCgU7SI0nycWkyMVoNLJzmouLi3Yqo9c7vg3ms5/9rL7xjW9oOBzq+vXr5kRMJhOrUzqLzvWUfEZKkiH5ALUPHz7U22+/bd+p1+smkKSAOTALWM4pd18RDeBHl0kOpa6ururKlSvWFQ8lQCPzaEsLD1LPmn2j7sJ7WOBLhBBYJDZpd3dXnU5Hy8vL5tkBzKKwAOTJOmYyGQvpOKnNv8GYEGiEie+n02ldu3bNBICwzrc5OY+i4DLP99kSxoA3dO/ePWtDzPr6tZZk+xwtwfB1StRXXb9+3X6GggBz8r3MwbEoi3ic7Fv0/b48hG4GtCrZ2tqyfcZTpc7s6OjIgHueAZ7CWLlajB5T1GnFYse9rvL5vHmblBVwPiydThtW6vdjFvr617+uSqWiMAzt6vGjoyMzVhR4oow89kmmrN/vW4g1mUxUKpUsuzqZTAyrJWHlT1FgcFgXlF+v19N3vvMdpVIpu64Jj8rfGHMW3jvTgVxf24B1xip495tBDYdD20gsEgvuq2bpLUT9D+/b3t627MDCwoIqlYo2Nzftbi4K4MgioCBZJJhsVnd/b29PQRBYvyjvIXqhp1aD4kG6P3LoMKocUE7gDR7Y9TU6MLmvV0HBsW4cmozFYuY6E/48DjNDHoSmvKFSqdj8YUy8IMYSrXVib329Ec+HsOhkoTwQ7vEGDAG8RoqcbOPjHDWJ4oK+7govHI+P/kkoTjwcvB5/Qwvj8sWSQBy0bkmlUlNZNn/7CfyEcYrH44bheFz0PPrYxz5mYdra2poymYx5NuwXR3ioIYMXm82mtre3LclETVcymZyqnVpdXdW3v/1tw57YP+Y7Ho/1K7/yK9rd3dUbb7xhN89wbdPR0ZFWV1ctgzyZTHT79m1tb2/r4ODgkXM711PyYBqbzIaCj+A9jUYjw1QQLhjZ157wDElT2BDx63g81tbWlmq1mj2PjfaWjoWBPBjrQ5XziFs5/NxQgGh6lACbSIsWvA+Yic/7LBtrxzwkTX1nOBzq6OjIQFjmEYYn7Vi9MUDBcbhz1opuSVMGgv9LmmI2rH2xWLQjJT5k89iUB3qlkzatXnn51Lyv6ObzKGC8D8JE5s54Z6l29gaFvWG8ZHnpM12pVGw/P/7xj2tlZcW8GJQT4yGj5J9LKIuhgaiupr+YP44DbuRlA2VF2cIs9Ku/+quq1Wp64403tLS0pEqlYuUO+Xxe9Xpdt27dsr5gvV5PpVJJr776qu7evWt4J4qYJFO9Xle5XLbOG/Aoa8+xmdXVVdVqNX35y1/Wd7/7Xb355psWpvuEBVlOIAhuPvmpMSW/0d4K+vNBAHPpdFpf+MIX9Eu/9Ev6y7/8S9PWHmvxZfQwrwe1OYUNsI41IQMC4Oq9JVxtmM+HULNa1ocPH1rfcLwUlBphKNgJ3TFXVlYsdPP3m3lcSzppnI6HiBfgPQyukapWq1Zj4ufpM4mAmj7lPCsje+yCQjZurSAd7jsXPv/88xqNjm8BLhaL9hz2lDoqngszsn+8B6Xgw2FwGoQbAfcFlL63uee/swiF4ceKQqeKemlpSe12W5VKRZ/+9Kf18ssvKx6Pq9Fo6MGDB5JOAGRf4kCfKUpSfKsb9pLMM55hJpOxVLh0EingZbEegMCzAt1kekejkV5//XV95CMfMSVC36gwDO0uularpV/91V/VZz7zGf3whz/UgwcPVKvVpi59pQ6J83uNRsOU0GQyUa1Ws3CbjPAf//Ef6+DgwDLwPiIi40oZATWItVrtzBbOM0mtt4zEyKTs0YAUYH3jG9/Q5uamSqWSnc2Juv2eifkdGRkfKnFY1Vdbw+y49OAfMLQv0ppVKd29e9c2mZPSKA8UJylPUv+U3F+6dGmqPor5+aMoKBQUJWlgj8nA5HQG8N4Sbjd7AU6H0pr1vJQHxj2O0Wg09NWvflXXrl3TaDTSn//5n+uv//qvlc1mrWODdFJbhAGQTjoyeAXlnw9DeyUPxuBxo+hRGzwLv6ezYoTS9O3Okix5IsmuCapWq3rw4IGuXr1qlzRS+0N47fkPr4j/+7vW8C4J9VhvMk2EoZSUMGf21BfJzrqX0nGRchiG1tonCAIdHR0Z35KaB3QGW3r22We1u7trCpFbS8rlsra2tqxDJtGLpKnMbKlU0uLioik3z6s4GQDny8vLZhwajYZqtZqeeeaZR87tTKnlFHM05PAn2sfjsXXOK5VKunnzpnkwPvSLutQwgBdij5Pwfn9+iu/7NKP3Tvw5HTCvWYgYm6xesVg0z86fsfNj4sBssVi0dK9XgowZyy+d9Hzyf0jdSrKzZP54A3NgnXx1N54HTbbOI44asL6UISwuLpr7nkgk9OKLL+revXuWceF7FP7h1bA+KEYUJnvAZ6KlCAgxSsh/BrwF4NsfdZilHS4K34eonMQH+yNUp1neG2+8oV//9V+3cByrD295Y+gzjPztvUX2GuEHqyQ8pec1JQq0o6X4cVav14f5ly5dUqFQsJq3W7duGbaLNzccDvW3f/u36nQ6+tGPfmT1YpK0s7OjMAy1vLxstYO+sDcWi1kf/Gq1qnq9bqEvmBkyB5+gM+jbRFHp0tKSGfJH0Uw9ulFEhBQ+xeurscfj4xtsGQxAHxiIfyYpSJQWChB3GKY4DSBH4H3I5l1prPCsRN9hQL6NjQ0bC8yE8kA5+BobWlTgYUknt0dQcU444vETFItvN4GC9aEvoRrhDEqM5MJZ54g8AbiynoTQzzzzzFRpAQB3o9HQ2tqadbYEEJVOFAvM7b0GPhsNRViPaAiLcuJ5YI++PzqZm/PIe+TMiexnNpu18LhQKGg0Gunu3bsaDAb61//6X+uTn/ykXn755akMG3uOHKB8fOcI5uYVK4Azhtl7xShkCmDJfvHOWch7nb69kPdiJ5PJ+wo5i8WiqtWq9cYqFou6dOmSRqPR1KWonG2jErtcLk95gxwvgT8xHN6R8bAL5SwbGxum3B5FZyolyuDZbLJIWA/OvrVaLZXLZds0Ml+cmvaHZQFnCVkWFhZMefEewjkPXPtDodJJbxwfJgDG8n2Pg5xFuJVHR0cGvOOJUUIvyRrYAwr7nkZYFFx/H9L4lide6BA8FE20R7NPacN0CDDjrdVqj3WI0wsqa+4PN4/HY7tdZmVlxTwfrlvyRZ14zB7M5z3si68TwiNCYP3PmSdYC3Visdhx/2mqwM+jXq83VUyIoeCmEubpu1Hcu3dP3W5XN2/e1MbGhpaWloxn4Ud43mcmyVhxHAa+gw+8l8y6gB3FYrGpA+94FBzcPY98TRxHS3wZTK/Xs7CKxA2Kn1ZBGEp/iarfV4/jsScoY87bwY8eTwyCwC4h5ZA6RoE1/ak9JQ9wM9DxeDx1y8fCwoIVUjFxj4v4O6BQbIQ9HD3B24hmq8hIYHGw5J7hpRPvy3tS/X7/sTyIyWSi3d1dO89Eit4zAJkNmqdzAJI0M5gTVsyn9T3WMhqNrMqbYjwa44FV8BzwFbwq7qg/PDw0pp6Vkcnu+f2VjpXy9va2NXXb2dlRNpvVYDDQ1taW3Q9G22PWnqJTMljeA0Lx+L3yygflxM/4Lrgalfr5fF7FYvF9iu9RdHR0pLW1NRMO+EOSKpWKer2efSaVSun69esqFovWSyoWO7kx1guPhyE8LkfY6t+F0vfeaBiGtk+EvdRC7e/vq1qtWnZqFiJ09AWqqVTKjikBUoNfoZB8dhrPEYJX/VlNQmbWAlwSL4v9k06SXn6dkH9wSZyWszLj5559k6Zv48xms1pdXdXW1pa5fAgRd0z5NCq/8/U63W5XGxsbdiFlIpGwSmeUChqeNKqvC/G1HF5Z1Wo1bW1t6ebNm7p165YODw/1e7/3e+duMFauVqtpe3vbjh34FiL+qIOvGcLjwYuo1+vvu9qGGpUopkQbFMJiSVNxOsqLYwK0qMDLoABwVkDfHzXwAh6GoR4+fKjd3V17Hl7e/v6+arWaNjc3zRvlWb6gFCXkcSKY35eMIEDRtDGhC5XBMD0CglE8j/7iL/5CX/jCF7S+vv6+yvFYLKbNzU3duXPHrkqiNocaG4BplAq9xMCHokkMeJQwhp9LJ7cBRY8NYYQPDw/14MED1et1O7Y0q4FBJpkbSgPPCWxybm7Oym089BHNlnK8Br7CaJDk4R2DwclFCT7Dzb56WIVSEY81opDwZk+jc1uX+NQ2LiJ1GF5A5+fntbm5ad4PygnvASQehbOysmK36NLYCoGMFpDhdXhG99q2VqvpRz/6kV5//XVVq1Vb2CtXrsy0wd6Kb21tWWjqCyd93QxMCKCHQjo6OrLFZpwoIoSS92C9PHP4imZOtXslTNhLCcKs3gOE0PhaHqjf75t3AlZIkSZXeYMDkN5F2Lz1jVpkGJJ5Y235rPcc/VEFX1kdDSXOoq9//eva3t7WF7/4Rb344ovmZYF95vN5FQoF3bp1S/v7+6pUKhayE5ZNJhPzQjGsHsbwoTjekPcCpROFhfKI8gNHPGKxmPFprVazNrPnUa/Xs3ID74V7RUF4Bt/57LCk9xl4DAu4FhEDsAiKxWfNfULB7zlKCZ6DDySdqZCkc5QSmAnMwIsSiePrUrhKezw+bkKezWY1NzenxcVFmzyVrmjwZrNpjcO9MmDjfB2HdHKCH0vFpnqPihscvvjFL1omrNFozNyEnefiVj948EDNZlOlUsnWACWEZSQbkUgkrEAumu2LekpYWRga5cYm8jNCNuZJASk4HcWbs5YCQDCQx+18ppN6KdLAu7u7kqT19XWVSiXbAy+MXhiYmxdSr4h9GYg0fbUVx4hKpZK13vC8xz6dRwcHB/rTP/1T3bhxQ6+88opee+01vfzyy9rY2DAlmkgk9Pzzz5sH4flLmi498BiR9/CiWcXoESWUrv8/nuDOzo7u3btn/YuazaY1+5v1OE2/37cLWf3+Mga8en8IHN7yf3vvD2Pn15xMqy9f8BlHkjFeOfn98t5kFMZ4FJ1bEuAzZ4Cy3rV98803rbcvLUmkkzYQXBt09epVffrTn1YYhqpUKjZh73L6hfV4h89coBgfPnxoB4F/8zd/U5/85Cd1584d1Wo1ZTIZ63kzC0W9s8FgYKe8fQaBcAWPjkWnQVYU3PVWlzWDuUkAoFhQECg/b024zQPL89N4SczTM4SvLWG9mdutW7f05ptv6sqVKyqXy4aZeeXpgWt/Xi+KH6GQPGOieCmOJPwn1EewyKpKmmm+pNdv3Lihe/fu6Yc//KE++tGP6hOf+IQ+/vGPW4uWfr9vHr1vq0GIGvUmo9gSStMfO/GhjfempWPZuXPnjl5//XX9zd/8je7evWv4jT8XOiuBv/mzigg/UAOyisLAW/JZQu8Q+LWHP7yHJE1nGTFEhK7eM/LrBt8RaRBaPooCBP6CLuiCLuhpoJ+uO9gFXdAFXdDPiT4UpRQEwf8RBMF2EASNIAjeDoLgt9zv/uMgCN4KgqAZBMGbQRB87cMY04dBQRD8eRAEvSAIWu/9+cmTHtMHQefs55eDILgRBEEnCIJvBUEwW7bhKaS/j3z7VPCsjy9/Xn8kfUzS3Hv/flHSjqTXJG1IGkj6qqRA0r8nqSNp+cMY14cw7z+X9FtPehwf4n4uSapL+o8kzUv6fUnfe9Lj/TnM8+8s3z4NPDv7xWg/A4Vh+Ib/73t/rusYaK+FYfj/vve7Pw6CoP3e7/Y+jLFd0OPTGfv5mqQ3wjD8PyUpCIL/XtJBEAQvhmF440Mf6M9IF3z7ZOhDw5SCIPhXQRB0JN2QtC3pTyT9taS3giD494MgiL/nAvcl/ejDGteHQP9TEAQHQRD82yAIvvSkB/NB0SP282OSXuczYRi2Jd187+e/kPT3lG+fKM9+aEopDMPflpST9AVJ/5ekfhiGY0l/JOnf6HhT/42k/+I9Zv67QP+tpGs6dvf/N0n/dxAE15/skD4YOm0/JWV1HL55qr/3uV9I+nvIt0+cZz/U7FsYhuMwDP9C0iVJ/2UQBF+R9HuSviQpJemLkv4gCIJXP8xx/bwoDMO/DMOwGYZhPwzDP5T0byX92pMe1wdF0f2U1JIUPbyVlzR7a8ynkP4+8e3TwLNPqiQgoeP4+1VJ/18Yhn8dhuEkDMPvS/pLSV95QuP6eVOoY2D07xqxn29IeoUfBkGQcT//u0B/H/n2Q+fZn7tSCoJgOQiC/yQIgux78fc/lPSfSvozSd+X9AUsTBAEn9Cxm/wLH5sHQVAMguAfBkEwHwRBIgiC/0zSL0v6xpMe289C5+zn1yW9FATBfxAEwbyk35X0o19EkPvvI98+NTz7IaQYK5K+LakmqSHpx5L+c/f7/0rSuzp28W9J+p0nnRb9AOf9/ffmVZP0PUn/4EmP60PYz6/oGBTu6ji9fPVJj/nnNM+/c3z7tPDsxTGTC7qgC3qq6OKYyQVd0AU9VXShlC7ogi7oqaILpXRBF3RBTxVdKKULuqALeqroQild0AVd0FNFZx7I/Zf/8l+G/rbPfr+vMAytdzKXA9AF0X/W33pQLpc1Nzener2uZrOpdrut27dva29vz/r20lKUtqS0tB2NRpqfn5+63HI8Htv95K1WS9VqVXfv3rX+znTyi8fj+sEPfnBu4ddv/MZvhDR5/2f/7J/plVde0b179/Td735X0vG9cLVaTTs7O2o2myoUCnZpXxiedBjk9o1MJmMdKn0XSt9aNQzDqe57vhOjb4lK5z7uKyuVSnbVOd0yd3d39Tu/8zvnzvNrX/taSGdJT8yBfs607/W/49/8n3/7yzLp2Ejv5zAMp/qq84yzWqFGbyHhezTD/9a3vnXmPL/2ta+F8CSdJAN32wfkr4/37/bz43e+la+/porWzL41MJ9nntyMS4dLrtDmogxuf/HtaSeTybl7ubS0FFYqFWv/7OWHDpL+Mlja0s7S3dJn5KO8ct733BwUhqF1m/Q96qE/+ZM/OfXh515GKcmUDgu/sLBg1xixoCwATEgLV0mmjG7fvm3tMweDgZaXlxUEgR48eKBEIqGVlRUdHBxob2/PmtfDjMF7t48G792EkMvlrDd3uVxWvV7Xw4cPNRwOp9rrzkL0Od7f39ff/M3f6IUXXrD2riwo/Y4zmYzdP4aC5kYXrshhfWjfi2LyfaBpYQpx0WMqlbIbUvwFCZPJ8cWCXhlJJ9c/zUIwr/8+goRSCcPQfs9eQf5yUMZES9zozSF8hr+9gjlNMLyCj36ff88iIL51sG8x65WMvysQxemVr38fv4/eSHKacuUdXsEE7towxsZdedyd5q8on5U8//h1Zhxn/X0ezbLO/saW077n38W/PR+cNZYzlRJ9pREWNB+WqFgsqtFoqNPp2M0H9FvmfretrS1Jxzfm/uQnP9FHPvIRlUolFQoFlUola4LPDZrNZlN/+qd/qrt376pSqdi7EomEPZ9bJvy9aouLizo4ONBgMLC+xefdmuAXGKXx3e9+V7/8y7881c+a5u7pdFrZbNYEl0v2aHQ/NzenbDZrd7rzt7+5Vzq5SJM5cIsEt6OgBMMwnLpb3l/R7a+nmlUBeyXohZW/8QhYj1gs9j7FxGcROP6gALynwbOYPzwFscZRheOfM+v1UdE5egUY7S+N53JaT2nvLaHEvWHxisj3ZPf8ggflr/pmfXK5nD2XK4iazaaazeZj3eocJe+9spfsIeNnnaNGwe/3rIrxrM+5Ysz3Gc1ZFN65Vyz5pvIsIsJDSDUajdRut6fuBavX67p7965u376tq1evqlgsqlgsmgCj6GgM3+l0tL+/P7XxOzs7mkwmWl9f18rKyhSDcDcbN2Jks1ktLS3p4ODAvIrHbay/sLCg/f19fe9739NnPvMZ85I6nY5drInlwyPyioh/Ywm5UBIlxnhQRIlEwm474eYSfs61Uv77eGtc1OAbvs9CUYbwFt/f1+ZDLh/GwQOeyaL/Rzh5PkLqLaT3CjzzeiL85h2S3ueZnEbRUNFbZRQSIRXej79+iPAaReJvzfGK3N9o4sfu3+cvvfDKmauemCdhr7984qch5sD+Ycy9QSDy8LLh9yt6cUDU+znPG8JxYc6P8ojOUk4zmSHu6ore7MHvgiCwO8OSyaTa7bbu3Lmjmzdvajgc2v3h8/PzdhtoNptVtVpVs9nU9vb28WDeuyeLzWk0Gtrf37f7wFZWVqZuKOFK4F6vp3g8ruXlZdVqNXU6nSnhOI+8YCwsLOj73/++3cXFza2SzEPL5XJaWFiwq6O4595fa+5vJIHBUTDcKMslgCgcb539+/r9vuECsVjM7ob3ezDrPH34yN+Ei/6iTB++eq+D/eedHvPi+f6uL3+Dqhfk0zAr8C5v4Qnd/XPPo+jVT7yHmzm4ygijwKWgrDnjSSaTZkQJx33IF70mKxqm4l350NhjZBghrrfCAM5C0TCcvZBkV3FhRJk7zgTKiu/7m3Q8X3jy3o+/Nsp7uVEc6VE37qCgH0VnKiWUDLelEqJgTWAyALvRaGSK5J133tHc3JzK5bKOjo40Ho/tbnPp+ELDXO64zQ4LxEV4+XzeQEnA162tLQOPw/D4FlOuA+YixVwup7m5OTUaDeVyucd2/cMwtEsXf/jDHxpuNZlM7AJG7kTn3Xhs6XTavEeUh99kH8pgGbk/DY+Ku97YUH8DKgyAlWu326rVanbZ4qzkgWj2rt/v23U87AGeUxAEphjBxDAeUUsZvVPM3wXn8RivxBgTXp/3WIbDoYH6s2Jnntk9wIpQcfElPITnyRVJXvlzTRh7G4ah5ufnp8Ik7wVKJwIOHsh4WEuPSSFHGJ3oPW6zzhPCmLTbJ22duIfPr2sqlVIul7MrvlAeHpuKhoE8H+NFkiaZTE5hdNKJIZ+bm7MLaKP0U3tK3ivCEvBv4mY+54HwZDKpj370o1paWjJFgWCzIXgSZAoQhk6no2w2q263q1wup8XFRVOIfJb3MjkyLZPJ8f3o9XrdmHlWYpFgyK2tLS0vL6vRaFg2jeudsTb8kWR3fvmLNBFyf1+bvxONzfQKh//7dRqNRsrlclNZuclkYldnzzpPz2hYNK8cWAf2PZVKaXl5WblcTru7u1OXZbbbbdtrj5XxXLzrWCw2hTV6cBZB4N/+XjwEGGU56z133qKjEBFW7+GwxoPB4H2XJULgiQD6fny8y99GO5lMTOEhwP57zNPfkgzPSXpfWDXLXFlL5pNIJMxbn5+fV6/XU7FY1MLCgprNph4+fKhWq2W3LcPXfm94NgoUA9VoNOwa80QioXw+r3g8rt3dXdsjMNErV65oYWHB9rHb7arVak3hi4+iM7kZzMhbBFxqhCuZTKpYLCqdTmswGKhYLEqSKQosi0/9+6zE3NycXQcNZuXvmGejuDKczQMf4HuSbIGlk2u2ZyHvfkvHGp8bcPGIALT9FdD+1l5/MSNjxgP0+JB0onQQAh++wBAeDPUhD9YaRmy325qbm5tpnrw7DEPL+uCFFAoF894wOJPJRKVSyTyGvb09Cy+4iLHb7ZrRQCGgYLgGm4sm5+bmTBGjGLyi9PuLAUMoOp3OY+EtUawMpURoyPryHn+7L+RBYr8mzAvhDMPQBJ3LNVHE/nkoe0mnhqIor1kI/I8x9nq9qTKcdrttt0R3u12tra2p3W7bNdxEOb1ez5wDHzazhh6H47ZdSWq1WiYb7XZ7irc7nY5hZn7enU7HlNpZdK6nFASB3Q9PBgzriHdSKBRs8CwMSodJJBIJw34AxwGp9/f3bRO50tpraWJ6H/t2u10D7hjn/Py8CoWCxuPxY2UzomGB93hQRtls1q7KRtnCkB478a6tdJLZQEH52hGfuWJTSSR4b4P3IAyMt1AoGIY2C/EOGLZYLJpS5dl4B+xlrVbTysqKYXzwAVgahiGdTtt6o2AInwjNUXqlUknxeNzCDB8OoaTxMHmXJO3tnd+Tnzl6/vEgtfdaPNaFAmGvMMg+5JROcD54X5KF3fV6Xa1Wy4BzPu/JK1rIX2s+S3ZKOrkh14eEhIBgm/BvPp9XNpu1TDeUyWS0vLysbDarIAgsWXVacgVlh3fH5yeTicrl8vtwqSh+CYaKPJylfM+9tttvFB4K9Trz8/PqdrvmOXhrwncouPQ4gldI3W5XDx8+1OHhoQF0vBvPBOFkUl7To5RgNq4Zn9VLYoE9LSwsGJjtlRLYAkopFotNXduMS87YYJZut2uZOXAosme8P1qP5b0H1gzX2APNUSV4Fnk3vFwum5JAQAaDgZrNpv1sMploe3tbg8HA7rrH+6CYc2FhYQr8TqfT2t3dtXeiaHwmbXNzU7u7u6rX61PhlgfSo5iW97bPIq/cmINXQgD7eBp+z6QThToajVQoFMzT914aBsl7UIPBwJS2Vy4YzGiCgDVE+SMjs4biYJfIFN4fc8BYTCYTVatVMwCpVMo8R/gGr5c98DwH7BJVMmCA4HAeBE8kErp//75BL+BcyOp52OBMmJJ/OQtKbZKvcUAxeab2g6B2CWC60+mo0Wjo8PBQ9+/fN8yEBS4Wi1paWjJlRK0PY/IAGwuZSCRULpfV6XRmTpVDLDzKcH5+XplMxpQTigOPyTMrHh6KlXXwmzk/Pz9VR+XxJxiSDQZY9V4Ue+IzOvPz8zN7hNvb2xoOh8pkMmbdfRjlQ3SPe6GYKPLzng9KGsXq8QIfQkkyg/XgwQPba4SKufu1Ym/j8biVZZxHHr8j1PJ4D7xJ5TzeLRkw3k8SgHFFs6KEIChAnuvDedYVbxEFzhrF43HbP8Y8q1J68cUXDXtFLhgPhkXSVI0fygVl2mg0dP/+fQVBoE6nY3JKhENxsnSCmbKOyLx0Asn4ottOp2OKyBtceJ96u1P38KyJo409xoOQNRoNS5MimIVCwawa1gaLwoQ8gNlsNi3uTSQSWlpaUhAcH3fwla5MjMnhCeHis3C9Xs8K1FCIsxLzQwmlUinzasi2gRexwAhvp9OxtDKCwOewlGQ5eA/KwM/NMwwCzjux8j6VDFN73OIsqtVq5qF1u1076uCtOkBwu922AkBwxKghYExU0UuyvSQE9aER70LJSTIvc3V11bxBhIOQl9qvZvP8+weiYC1jaDabFlqRgeNEQhiGymQyWlpasrkzhyhOJr2/Fol18J/BO0ilUmq327a33lsAkwET9GHmedTr9Sy89F7bZDIxZeu9y0ajoXw+r3Q6bQofxfTgwQNbk2w2q3w+b/vXbrftSJWkKaVNBrfVatn4KarGq5eOQ3uMBO8BRz51D8+aOEqFTQVtZ2CdTketVmsKyCoUCuZpILy4qGwW3+t0OqrX6xoOh7py5YqKxaJZ7/39fR0dHVnIgGAkk0lzPcMwtAlLmipCfJxjJiw21ozSA4DzdDqt8XhsChHrRyhUr9fNWgD8E6IRgvgMFUAoc0skEspkMlOhLkJOoagH07335bGR8+jKlSuWjEC5YBUBPUej47OG4AV4dHhHrC3rQ62Vr6RG8UYze37srCHrWqlU9PDhQxMenoWiinqMjyIUIB4f1duTycSwSfiVdQUXyefzBv4zJwQf4J53sB7MDwNBxEDY57OUmUzG+B/+JAFAKD0rpnT//n1dvnzZ1p2/8bZY14WFhSmMK5vNKpvNmhFlnRKJhJaXl7W4uGhyOxgM9ODBg6kyFulYIVJWwBo0Gg3j4zAM7fnZbNYSMtTiSZoCwqN0plJCG7OxuImELz47geLpdruqVCqWlgQY5DOtVsvwhGazqWq1quXlZV2+fNmOXZDNQWllMhmtr68bhoMVB+fBm8A992HR4xDpVLApLDTzyufzll04ODjQ1taWarWaAcV4QwgFChQGhhBY4m1wExibYlNfTey9JZ9Gl94Ppj6KfIWxxy/wdgklyMicFjoiqPyN1+WzSh53wmNFufhnwT9BEGh/f38qfEIhYRh90ex5ewhmgiEEA/TFmeB2eGrsFd4oyoL99ErNQxkYBF/Bz36CDyJHXhlgqNh/72XNQn7/R6OROQKMxRtnb0DwRFOplEqlkiVUBoOBYWU+Cwr/++pw77XHYjEtLi6qWCzaGvFueEqS1TISiZwFrZyplNgktK5PO1JIySTBVIbDoQ4PD5XP51UsFk1BwPgPHjzQ3bt3zZ1Op9Pa3NzU8vLyFICdTCZVq9V0584dNRoNra6uGqgsSeVy2Q7GYt0B7hjXrIVoLDRzQvFioX1tBbjRzs6O3nrrLdswGJtMJMyKMgGI98KG4vLZxJWVFWNQQlfe7UFglJzHOs4jX7gXLV4koYBxiSp2H8J4IScsI4zkmT77hVLx4DJjZ16SbL0xTL6Oy3/uLEIQfVjpa4R8Fg6+JYxDQBFahJK58ByP17AuPlyXZGuCB8zYCKHgKXBHn12ehXgX/CDJvDO8JaASMtNRXppMjss1KB7l9967BQeVTowfe43Hy//hc5SjD2UzmYxyuZwZ3rP28sxdxqrEYjEVCgULLxAwPKbJZGIpR7CKZrM55T0kEgk1Gg2L18fjsbLZrJ555hktLy+rWCwql8uZ0KdSKVWrVT18+NCYGw1MexDOziEkMABu8OPUtbDYWBWsHpvk4/5EIqFKpaKXXnrJqmJJy5OO9WsEiMgzsFgIEOsGHpbNZo0B/DELGIwxRYX7PPLpWvYR4fe4En97Dw8+mJubm6oZA5sB+MeLADeJ4oI+08V68nxKRnwa3oens4SpPinCdzwMgcLzmVzWhH/7+jJfHsLY8DjxYtkTwhwIpcG+8xxfeOzLHzD6sxCRCobB7x1KWTrBfjweG01msD4+YcS8KMDkuawDz/d8KJ0YeJ/xTCQSVkhJxHWW8j1XKWFFETaYGeH1C8Ek5ufnLbvBotVqNbXbba2vr+vy5cvqdDpKpVLKZrNWS0EKsdVqWXq5UChY1gLQOZvNTrUnwU0ejUaq1+uP5T3wfcIRiiP95nhAGSbjUC6KN+pJeDwNV5WWJjCIVxCAiT5kQAnwOfAQXyXuFcp5FI/HzbBIJ0zswx2fovchHnvOHPCKwQ18eOlPyCOseJQoY1+oCGMzDhjfW3bWchby8/MCyznJaC0c8/QhEfVRjMOP0ydu+LkXdg9Z+HWApyS9L3HCs2edYyaTMaVKWOl5xGfSWD/GyDgwBHiGUfL87ksKorzrlRLv4R18NpqZPYvObV3CgUR/Kh1FhSBHLRoTb7fbhv80m03F43FtbGwom83axgIs+iyXdxk52sEZM5SYT6kDeJN6ZbEep1Yp6lZ6b4IKY7AjMoswA/Mn5mZcNG3Dk8CKsJEwkAdJfVGlZx7mwncYhw9zzt1s5xXA0AgNobq3ml6gUUoeR8SLgDe8MoMymYxVAgP286wocM/fXiHhbcyKm0UxKX8UCMWEwiCE9bVlPtT2lcd4FlFBZL+8Z0DhIuNgXXzoyFj5DmD8rEkL+MVnCL2nFvV8/c/4LAoWRcN4Pd8RenOI2ZctRLFNyD8D8lnbaAIkSmcqJbwh0ogIjWdQmNEvqK/hIduAa07KESaIehi0IwGwJFxgDFSsopR8qhHF1Wg0TCnMQnh4VFN76+YtJp6Ud0OZM94a4WM0fPDYBAoJZvDKjA2E2RF+jyF5Zfk4Ssmnc9lPLwRgKjAV++uBT48vcMSFcNW79h7sp0o8Gm54RcY7GafHgNgTjhCdRR5c98C8L7Vgf/lZLBYznmNcXsl4jMt7V94zYe94jt9L9s2HlYyFxMLjlK9IJ3Vc/j3eQ4zigayr95DwVn33WObmlQhlPr1ez8bqvdAoeR71njd1X35Mp9GZK+Hb0OK2I7i4Zmwom+WPlgDg+vMuTD4Wi5li8gzoszYIN8oApYTlm5ubM6DQn+bmz6xKCUzLMw5z9WUAKA/CKkoQyCweHR3p7t27qtVqko69vNXVVUlSpVIxZe1rXPC4YCQvnGywTxUjMDDh44Cj0rHn4vE+D+KexmTec+NdiUTCWtVgLBB0rK/3sgBgYWjGz3PhFU/8H0UWBIGWlpbOnR+Qgfd0PMbBPHi2NF0f5MMbjKbHkZgXQovR8jgN3gfC69cyWiLBM1D2ZwmrJ2SQzKefn/deovxEHRrFsx628GFq1KuXZDLVarWUz+ftM1Hj5t/N+0nsROd+6tzOmrjPKHjF4BUML/RtGoiLPbAWi8Usw+RPUrOBeA48D6HDkvlWIX7DUYq+/gRGntWDeO655yzUIjT1niAM7pmK7F6321Wz2dT9+/f15ptvamtry1Kh6+vrtmmdTkfr6+uSNJUkkKZbd6DQo+GKL1bz+IW3vueRTxGT+fRnvLw3wbiinhRW1mfMyEIhDFhR/39qgjqdjpVdIEC+jgbyXhJe6CwC642K9xC85yOdCIVfZ++dwjteGfmQ7VEeJQYq2qUiitX5sPW0cc0yT8aEjKAU2WuPrfpMI7/HMHisyYfnkiza8Z4vJUJEPDyD+SC7yDFrDF/4kPY0Ohfo9gVzCKYH11gcf7SEQfrwDCVEVa9nRp4PKIr3QwgHFkCNQxTLQmGSiYtiIudRsVjUzs6OzZHn+ayLZ3TmRTuGarWqt956S2+//bbCMNTS0pI2Nja0ublpG3d0dGTdDnu9nsrlsp599lktLCzYGvrNZ26+vJ+5em8kao1nITxOaqzINErT7WOl6bayZAlx9z32w7j5rA8VpGPhx0ur1+vKZrNT+x4l5shaM+bzyI/HCyjj8ngOn/dHNPwfxuFP+3tjACGMeMJ+H70gevLeiF/7WZUSssN7fMiPPDJ+Tz4r6vfvNIOCJ886ocioricS8QabdWHf+J2fWxQcj9K5SolCOjQng8cL8hNDM1Jw5btRRjNaLITP4mERKTgD6+HgJ5gRE0Px+O6MLF7Uyp9FHgNByPGU2Bwfp4fhSaUwAGA2m9WLL76oTCajUqmklZUVqznqdrsql8vWUAzPjxJ+3h/1GDwYy6aSdUOQUHSzkB9/MpnU4uKiVaV7oJvPeAzMGx4UN8eQ/LN9iIfL7sOkIAhUrVZtHaLhp89k0eXzcXpjwYcec2T/8B78WNh/b9n9up+G2UW9U+YBjz+qHiuqrAnbPOg8q1KiQJJxIwvR+jXW1yss2sAQRnsj52vyokqaNeNwuYdt/Dqc9n7PRz+TUkLYfaMsmJFNgDwDSMcaGWCL7Bib4DMDHsfxWp+snceS0OJRa+4XnXE9Dtbiw0jp5JS1r0fBa/TZvSAILOS7fPmywjC00obV1VUrofCdBLrdrobD4VR/cRjJM6THZBgb7/dFeyjIWcgbBdaR8At8jHnDoH5svDuRSFjhKmNl36LCRX2Kr65utVrmCXovxhsGFJ/vNjqLwOJd+bIMyH8fQfGhinRyDIjnnKUoosqGtcHb97gfvIsi4HPRTNisdUpEEfCGV/CMB8Plk1GEY4yR/cML5f3wAJ6fD2F5B1ihXwu/1lGPE57+mcI3n471WtTHnmxu1JUfj8eWJSOdTZcAyIdxMAYZATJ2WEqUnj/IGrXgWFeYedbmZ2Bc3rXFIrAh1E7hJfKubDYrSZYGXlpaUrlc1uLi4pQibjab1llhPD4uHMVboOOmHwdzADPzngleCEr4cTwlhDRaFOm9VZSx3xc+xx77Frf8DIXrLSFZt2iXCY/FnJby92Hp43i9PtyIZtpOC3Oi1tv/8YLJOKKGw4deRA++nbAHkD15ofXvmpVQQF4p+DIKv76M1X+XSAYvkhMR/gYexkVtG0kNlCDzgDzOxTsxnijgnxlTGo9PeuZ4vAWsg03xm+Y3CgGMxWKWFcH78m6sB+RYCC6ipEG/X1w0PESqknc+itEfRRRc+jATHMsrYAr7EMj5+XktLS3ZInsLH4/H7UAu1jIa7k4mEzWbTT148MCOp/gqeb5LnU8ul5vqa47b7utpziKvlPDgsNTeo4CJmDuMBLMPBgNrLseZKe8VYiCw5jA2yol+3z5cjHq1eBN8R5r9jJ/HqrylZk7ea0Ax+HS/9xJ9mIewRsfrQXmUOfNmLbw3yfs8iO5l6HHIC7oPvaJ77Q0YcgnWKWmqMBlszLdu8SHxadlLvxb8zK89f//MSqnf75um9+1fEVAsgXeDfZMrNgFh9lkYn/qPAnwAqoCjuLoc1/AbizvssZAogHgecaiXMTJOn/HzmTKsDGeGUqmUjo6O7EAr60DLCpQHRaEcyqR52rVr13TlypWpU9TespPCJYymShxGe1yg23u4KAbWMBq6wVxY5mgoEgTB1IFt9o8xeUyM33sPlvXxCtB7N/44xmmA+GnkQ0nPh8zjtDAzWori18IrOMbrBQy+8VEDMuKzXT58i+J1KJdZedY3cfN/ohCDV3Z4TigdWle3223jabx49okwnXDQGwa/Z4zF72vUG/XK6KfGlKST5uukcdGgFNpJJ+AiGInvHokSI+amuplnY12ZAMKKVs5msxbieCvlM2FYIz7DuGa1rDBJNOPG7SWM14cz9Jyp1WpWqk/o511fFPRkMrFqdebYbDZVKpVULBatxYVX0Fh2MLxkMmlV8ngorMcsBCNE43xvuf16eLzF32Tiiz2pjqZ+hf3wob8vLVlYWDBsjfn51HR0Ll7wZ91LPu+Vjg+zvLCwHszZezmELYzde1VeoRPOezzHr6nnQ/99H755T24WqtVqtifeS/IKiXXwUYg0XaGfyWTUarWmlCeKCNgEiuJzPnQ8Tcn4sDs615/aU8rlcrY5XGlEzAzOwcOxCp45JU2FMywEg8NqsGlgKygZFgVGwWpGMym8G1AemtWyttttZbNZraysqFarva9Ln/e+mG8YHp8XKpfLGo/Hll5vt9uq1+sGzqOwfdYyDEO7Bmpzc3OqOpa/PWN7b4ViS0JIwoZZKBpmR3EU3h8F3vECfCkI68sYCAnwHj0u59te8DxJUwc9PRbEe30t06y4kj93h+Hk72jWjDkyX3jMzx8lC6965emF0kcH0gngznd9ksFHCj7MI2SdhQjpfc/tKBjNz3i3D5XxeCmMjq4tY/FKzuNW0gnOeBr59fEKif+fReceMwHU8pkZvB7CLF/ZTDMnvAFAVDwtFgPLQx0Sng5dBsBXeHYQTBfQ+dRzLHZ8QSNeyqyV3FCtVlM6nVa9Xle73TYMK4pfeSXM36TWk8mk9vb2dHR0pETiuCWvd+nH4+OiukajoWq1qlgspqWlJWMINjjqAiP0vmiSsBZ8Z1br6r2SR1ll3u+VBIqPJAKf89kzLyAIGnzigVGehYJgr1Ek3rL7f89qYPBevCB5nvFC5fElvodSg09pOsh+MFef0UKZYWgxqr6nkVcSvMv/Yd1nxQcZhzda/vkoSMYS/Z1fY1/+4g9FR/cgumYeQ44mAfz6++xm1AieRucC3b6am7ocwpparaZWqzXVpZBN9ClH2op4IBmgE/cerAbrAXDs25Yi5KSmfQzd7XZtHB7Um4V2d3dVqVSsrS0Hg72nMpmcnOD2oQtCBmbEPXGSzMtDMFqtll1FTskADOoZ1W+oNB2Gsl6JRMJS67Na19Ni/yh55eEVDx5P1ALiQfAd32fJJzAQEg8K4yFSz8Yzo5b0ccBf+MiHRx7o9ceGorgnHhWeXRiGdvNLPH5ym3G024HvPCDJEgjUEjF+5uhxR8Ya/cws5MPOaPW49/a8Z8O+eMXsfwZvR4nfRcMwSe/zqHivf+esILd0jlLy8be/1lmSqtWqbQabhELi57Q7QPjwfGKxmFUy01jNZ5M4MU3mBWXj05X+iAnHV7h7i7CvUCics63HtLW1pRdffFG9Xk/NZlOLi4vmhRBOhuFxi08OoOIVUNuUSqW0uLioeDyuer3+PgWQSqWsz9Szzz6rcrlsh5V9ERzkXWMULOExwsH157OWPjAWb708g3jGROH4ui//O29EfG2P5xuez+e8sMP8o9FJG16UXlSBPS553MbXzUXDCfjHd6kEV8TIpFIp7e/vTx1DKpVKdk2UdALIk4iAf+kxhjBiTPx64WGdpoxnmafHBKMdO9gn9p5eZXjbvqyEtcYIsR4+0eDroDxm6g20D9Oi3mEU33sUnZt9I8TyrWY9iu9bmuBJeW8JRQNj4vV4AJT2KGh9FtjHw4DJXKNdKpUkaarWgiwCf2YVVi7pazQaNj5qhprN5tTxkIWFBWMmfzyBTUqn01OAr98owjYyVv5aHtaQteL5PnPJfGu1mgkNjD4LkWQ4TQh8mOO9GxQTeyKdHL1AYfsQxLv7MLYPBf0ZSo4Mec/Kh0X8YW1mIY//wb/+mRgY6QT34d2sJ4aP5AQGBSNZrVZNUfMO3seNvuwz+wmwjxELw5NurT6B8jheIXMgFEcO/PzgDZIL1Wp1yuDhGZI08YqMPWNsp2FIwCweL41CEI+rbM/t0U1RH/21fTsRYlYUERdAck4N4aKXEi4wrms8ftyOolwuG/PhMoNNUQ5Qr9fV6XRUq9Wsv9Lh4aGdWaNzpa/BmJWRwaPCMLTG59y24Nv2+pQ+lwrEYjE7auJrsbD+vtK9VquZh8Wa7u/vazQaWVbOM3Y+nzeFORgMtLi4qMlkoq2tLR0cHGhjY0Oj0UjlcnmmefqbS6PM4wnFQujuBR3Mj3ojvDyPNSB8YTh9mzJeUzKZtB7oJAN85gqKhgmzCCyKTZJ5J+BDHrjGu0BxnNZ3Hk8gn88rCAK7HswfF/KdFkjyUFKC90EUEVVMnkd5xqwUVaze8Ps6OOkEFwS/ZM+8N+o7rZ42Dh8K++f6TLgP2XzI6I3dLErqXKWEoCaTx4356/W6tra2ptxu7njCDX755Zf10ksvmYCxUdJJDQs/44JGXN/J5Pjmg2q1atq73W7r1q1bhvlQO8QFiXS6rFQqkmT3Xs2qob1nkk6n1Wg07HxQtVpVv99XPp9XpVJRt9vVrVu3FI/H9dJLL2lzc1ONRkO3bt1SMpnU8vKy5ubmdHBwoLW1NVNcZOUqlYoJM90FBoPju9d7vZ7eeOMN3bt3T+l0Ws8884wymYyq1aoxUrlctoxfp9PRu+++q2Qyqa997WvnzrNWq1kNimdqz2jeEvpiSUl2qJjEAi2AM5mMXfvd7XZ1dHRkpRx4joQPhDbSSe/maClANMPlM7TnkU/Pg4WhZL1yRHlhRPwRI/5GoEidMy5JVuFP3d14PLY6n2hjfKCGMAxt/Tw2h+H12NKsxDhRsAD1PqHAO+hLRqaatQbjxXHwQLl/h18f6aQNkd8374lGcSQvjz810J3JZKbAOxit1+tpZ2fHrH21WlW9XresVzqdNiu/v79vfX59NWmr1bLrmGgSxkJxSBSrXK/Xtbe3p+vXr9ullbu7u0qn01paWlIYhioUCkokEjaWx3Ebv/rVr2pzc1PNZtMEC9ca67a3t6ednR3FYjHdunVLzzzzjHZ2dsxrwFu6dOmSms2mfvCDH2hvb09Xr15VOp1Ws9m0Nr7gZNVq1Qoo3377bbuQAKxld3dXzz//vFZXV6dwiWKxqEuXLqnb7Wpvb09vvvnmTPMkPPVhpyfPiL6Sl/CLdY6eCick5Hv+iiQMFfuRzWZVLBZNuH22yoO9HgsBA5tFMXmvy/c5gnw/L0JHMBRv1b0geqghDI97rWOgufOMkB7vkvGTPfVYDUXHJHMe10vyhLInacDzUbq+bi8KVrMveHmMMYrr+bX1v/eZxdNKZ1CWHlPiZz4jF6UzlRJKB2sJrsDpd0Is76LiGb3zzjtTWMJgMDCvASaEoZkkcToLjPcVBIEqlYoSiYRWVlasPshjAIRRCB6ZkVkon8+rUChMpVixoLFYTPV63T6XTqe1sbFhlyc2Gg3DkF588UX9yq/8inZ2djQajXT58mVls1n1ej29/fbbWl9fnyoORQCIyefn57W4uGjCAp7XarW0vLxsAH4qddwru1AoWFnBLEQIXiqVppiCccDIvj5IOml14t1333IFBQbo6Y/jgBfhhVIXI53cOceaeyzrpyU8Bh8y8H+8ARQc/ObBaJ+58j+DxyEyrd7jQGhZU77vsUWvbD3mRKTwuNX5HnRGtihl8KB3FEdiz6KhtT/c7ZU2CihauuH3jPf4f7MWnne8oTuNZgrfsHgeuS+Xy9a+gLYco9HIFJXPcHBcw2tzJoN3xaYQ33MYFuWA+7m4uDhV98QzEDh/8eWs9Up/9Ed/pC9+8Yt69dVXTbEiPJubm1pcXJyaz8bGhoIgULPZtBBheXlZX/7yl3Xt2jUtLy9rb2/PLhaIxWK6du2a7ty5M7VRicTxBYA+e+JPfE8mx2fjPvaxj+nFF1/UZHJ8AcP29vZU+cTa2tpM8wSMfZSV8hkbFJOvcqfZPSFIFOj3rr803R/aPw+h4PN4CxDC47GqWb1e3u8zbTwTT8d7Q1htH756AWJc8Xh8qgQE4UXAUEp4kV4J8AwviL7aHKzuLO/hPPKGnoyZdHKqIlrEyVyjyQU/b8JAj/f5efmwn+94xe7DNv/nPLz3TKWEVQG48+evpGPtSM9tFhTcp9lsajwe20G/eDxuWE8QBHZ5Xa1Wm1JUw+FQuVxOly5d0u7urilC6cRFBlxHyaF8wjC0bKAvXziPGo2GNYgj7qeqmyxRLBZTo9HQ1atX9dGPflRvv/22vve970k6tprlcllhGFrNDWPw4OP8/Lzu379vWRuuoaYbQjabnWqCR9bnS1/6kgnwxsaGrl27phs3buju3btTuMF5RJ+ndrttlztGPYNo3ZPHFbznCSMjDF6APeMjDAC8CIH3mD0I7T0N1o0QhHv9ziKfGkcwCL8YD/PBgPkQy2f6+J0PZSggHY2OL4D0SRX/PdYOxRoVWN4D75+W2TqP/HcoVGYe3tvkc/5vxueB6qiH6pXRac9jvaMKLep1+r9R4md5hOcWTxLKoJS8u41yYAKegWACUqhYQ7IZaHQ62LVaLQsRMpmMNjc37c40Dzz7TSXEkaZPQnM27CwX0VMul7PT/tRcgIdRmNnv9/Xuu++q3W6rUChob29Pe3t7hrPdvn1bW1tb+sxnPqPLly9PCUEYHqd/Act3d3e1vb1tDfSoXVpZWdHXv/51xWIxVSoVZbNZHR4enlo8SfU6x2Fmoeeee06SdPfuXa2urk6d55JOrtSJMiK/B2yPhlqPSgH7UMpbXPgi+h5vmT0PMv+9vb1z5+gFzmeH+B2KM3ro1n/Hp9GZk/8MfOo9LYw184p+x2cQCZskWcIIhfc4xZOnzZ2oJvpzxuSVgVc67IsP3T1fRTNvUcXkAfcorsT3mat09sWiMwWwKBkyDSgUDpXiwdADaTgcqt1uG1MSevGHZxH7kmb1Z9tyuZwJDWA3IK0/S8f7GAfW/Ly41RPXf2PN6YdEsefi4qIWFxf17LPP6vnnn9fS0pI6nY6KxaJ6vZ4KhYJKpZLK5bKN2xcJevyAW4P7/b4ODg6UzWa1tLRkxXgbGxuaTCaW0er3+7p586bW1tbMuyB8412zuv2Li4s6ODiw8oRKpfI+ZmPM7Hs08/Io4NI/41HkM0T++f6dUUXoFcosnhJZVPjDvxtPgsSEP3iLsHDJKfvnwywwM59y9xgJIDNZZPjA3xl4WkgHz3rlMAt57weFQ1+k03A5XyzJHFDCUQPh98MX2kZDMhSSV0xR/vDznEwmtr6PopnCN+Jp30aEMIfBowBqtZpVtXqrk0qlrCtjNptVqVQyK4/lpSE9C1wul00B5nI5s9S456SUwUkorAyCwAr7HmeDWWQyKJPJRPv7+9rf39fh4aFqtZrefvtt20wuB9jY2NDS0pJdTeyzEsTz3LQyPz+vfD6vXC6nRqOhRqOhvb09vfvuu8pms1ZNTiiZz+f1jW98Q4uLi7p69aqBw3iKHjA/j0hWZLNZ7e/v2/pGPR0PxkIIH/+GEWE2bwTYA2+F/VEE/wy//j51z8+80F+/fv3cObKHKHCPc3mh94qG91SrVR0dHVn2mAsWIPBDSVMegS+PobZPOsZzKPKNKgkvxPAv4ewsdJoXRi+kaMbU84c3kCjpaIbNP1uabijn69L8HLxC8jg078QAcPrjLDr3NhOPqNOIjDgdIJwDrYCigIC+jmFhYUFLS0uWUkbBoelRXt6Fx0oCsPI8GsWhILFMZC+Gw6GOjo5mzr75PlG8F+8pmTxukl6pVLS2tmZKi1t9c7mcFhYWpq71QQA9U0TT3JlMxjJ4eHseb0GB4HEWCgXDqfg8dJ6HAmEoKNRst9tWJ+S9HS+43kryLi88ZKV8gaIHUtnTaEYvKnxeaeBR8dmjoyMFwWxXLHlcQzoJn1GIfo3hO38T89HRkRkR+qd7PAneazQaZrDJ9PIHPDKXy1m9ks8qE2V4hcQezLqXXnkQxi8uLqrRaJjhihplH1af9rwoQB81UF7p+Kyd5x2/7t6TpGwBXjnLkJ7rKeHagbV4wY3FYiqVSuZZEFLwe5SUJOsl5D0hJoz1YUFQEGySbybnmZp6EV8t2+l0tLOzo3q9PnNYQ7zrMRAs4erqqkqlkpUDMO/TGsCxZlGrj7VmM2BO5h5tHeHdXgBpwPHTxj5rCt03YovH49ZixeNyHvT1jOPfEVU20knmzns5XtE/6hnRn/Mc1m84HKparWptbc0SA+dR1DPgHewFv/c1S0AK6XRaR0dHphyppEchUdWPgmP98MzxBPL5vJU+AOx6zAeh5VwnDsDjlkPgsS4vL9tFrChbztdFQ2vKECRNJSD4nl+zqFLyOFrUS/KlBczbg/j+fsCfWilhBXmYB7JTqZSy2azCMFSlUrGiQM+UKCDCET8YlICPuz0zesszGp0cw/DHBCaT4+zdw4cPVa/XVavVtLu7q62trcdqX8JC+9QoC59KpczioXwZr6+T8hgI8+DvqIB6l9kLrY/VGUc2mzWPjxDTb6jHPM4j7+3kcjk1m03zXCFfWxYVEL//3rB4K+qV1KNwIh8y+T2IUjwet/5WNAiclTwO5mt2+BlerQedaW+MkaQgFivv0//wNLgjxNVRviZKOtk7n4Ah1PMe3OMC3XhJXHrqw2XkEYPuu22wDtEQzWOLPtz1RseHhh5T8sqIv3me71UOJPMoOrdOyVfFegFA88ViMTtQC2gYtd4+1QpYTdjCxqHVEV5vNfDWwIywNPv7+7p796729/dVrVa1t7dnvaN/mpoPL1AwHi6nr6+Jgu3MUToRPK9c+L//THR9/Hd5N0zjlWWUSR7HshLujsdj5XI5q0guFAqnYhQ+ROOd7Jcfs1coHhPiOz6j5ufm1ylqyflss9m0dZmlsNDzjwdg4V1q6HiHx0sISwuFgoXQ/I5kC5/HI2m328Zv3LIcXQeAXX9TzGQymeqO4LOFs5AP3VZWVpTJZKwrB8+iUyljABPi/d4z8vVMfl+iYXb0974kIuqVIUe+i4CXsUfRmbtcq9WUy+WmMIEoYk918WRykm3weBCbw2B9DQm/j8a63nLwWbIaHMptNpu6deuWdnZ2dHh4qEajMVUKgADNQlgVX4DGGHxKm/HymWh44sl7XJIeqbz8vx+lyABt/XN8gmDWeXJekO/Mzc3ZYWOY06eDfY1OdKzSCdjLzz3465VbVMl58nvOu/j3aDSyAtXhcGjn9s4iz0v8kTRlmX0WzHu1rDFhGpefciCa/mFeoXKGkzY5GGVCNvbGG2xKaQino5nCWYgoJJvN2mkH74Ejo6wdISprwxwI5XxDuqi3JJ3sncep2HPftkaa7jKBUfcy4z9z6tzOmvje3p5puuhkWZioZfUHIrHw/jYKJuK7+U0mk6nQjw1l8QBlG42G9vf3tbe3p62tLd29e9fOyLGwvgxhVqvjXV0Y9FEhUVSZ+M9GwzDGzxpF8RfWLPp8H9Pzf5/ZinoWszK0B3uDIDBMjjAuqjw8XuCB0KggeyaOFhJGAf9oSIAhiGb8yHxRWNrv9/Xbv/3b586RkB9PwXviPmRjTvCaN54+8YKC8qC4dHKbDHVJHtf0a8g+cwg7Hj8+clWv1w0rRRFL0pe+9KWZ9pI+Wtz2w1p7JeIztMgbMst+EJKyLtEaLSgabvv983vtQ3OiCp9YwOj983/+zx85t2BWPOKCLuiCLujDoMdv63dBF3RBF/RzpAuldEEXdEFPFV0opQu6oAt6quhCKV3QBV3QU0UXSumCLuiCniq6UEoXdEEX9FTR/w9H0l1QjQJMewAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "jKkMD3R1DRog", - "outputId": "7916d9db-4486-445a-9bc1-9fba652f0e2e" - }, - "source": [ - "X_bad_faces_reconstructed = pca.inverse_transform(X_bad_faces_pca)\n", - "plot_faces(X_bad_faces_reconstructed, y_bad)" - ], - "execution_count": null, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ] - } - ] -} \ No newline at end of file + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "iBWR152fDRnt" + }, + "source": [ + "**9장 – 비지도 학습**\n", + "\n", + "_이 노트북은 9장에 있는 모든 샘플 코드와 연습문제 해답을 가지고 있습니다._" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "qtz_SmlnDRnv" + }, + "source": [ + "\n", + " \n", + "
\n", + " 구글 코랩에서 실행하기\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0jCCcpBgDRnw" + }, + "source": [ + "# 설정" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "R5WSjhOtDRnw" + }, + "source": [ + "먼저 몇 개의 모듈을 임포트합니다. 맷플롯립 그래프를 인라인으로 출력하도록 만들고 그림을 저장하는 함수를 준비합니다. 또한 파이썬 버전이 3.5 이상인지 확인합니다(파이썬 2.x에서도 동작하지만 곧 지원이 중단되므로 파이썬 3을 사용하는 것이 좋습니다). 사이킷런 버전이 0.20 이상인지도 확인합니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "9yhTCQy4DRnw" + }, + "outputs": [], + "source": [ + "# 파이썬 ≥3.5 필수\n", + "import sys\n", + "assert sys.version_info >= (3, 5)\n", + "\n", + "# 사이킷런 ≥0.20 필수\n", + "import sklearn\n", + "assert sklearn.__version__ >= \"0.20\"\n", + "\n", + "# 공통 모듈 임포트\n", + "import numpy as np\n", + "import os\n", + "\n", + "# 노트북 실행 결과를 동일하게 유지하기 위해\n", + "np.random.seed(42)\n", + "\n", + "# 깔끔한 그래프 출력을 위해\n", + "%matplotlib inline\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "mpl.rc('axes', labelsize=14)\n", + "mpl.rc('xtick', labelsize=12)\n", + "mpl.rc('ytick', labelsize=12)\n", + "\n", + "# 그림을 저장할 위치\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"unsupervised_learning\"\n", + "IMAGES_PATH = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID)\n", + "os.makedirs(IMAGES_PATH, exist_ok=True)\n", + "\n", + "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n", + " path = os.path.join(IMAGES_PATH, fig_id + \".\" + fig_extension)\n", + " print(\"그림 저장:\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format=fig_extension, dpi=resolution)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ZjHtcWTGDRnx" + }, + "source": [ + "# 군집" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "A-t07gJNDRny" + }, + "source": [ + "**소개 – 분류 _vs_ 군집**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "NK0bWk9dDRny" + }, + "outputs": [], + "source": [ + "from sklearn.datasets import load_iris" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "je2OuMEnDRnz", + "outputId": "64d21520-94e4-4139-8387-d44137986f91" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['setosa', 'versicolor', 'virginica'], dtype='" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 3.5))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(X[y==0, 2], X[y==0, 3], \"yo\", label=\"Iris setosa\")\n", + "plt.plot(X[y==1, 2], X[y==1, 3], \"bs\", label=\"Iris versicolor\")\n", + "plt.plot(X[y==2, 2], X[y==2, 3], \"g^\", label=\"Iris virginica\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.legend(fontsize=12)\n", + "\n", + "plt.subplot(122)\n", + "plt.scatter(X[:, 2], X[:, 3], c=\"k\", marker=\".\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.tick_params(labelleft=False)\n", + "\n", + "save_fig(\"classification_vs_clustering_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-ecTCluLDRn0" + }, + "source": [ + "(아래에서 설명할) 가우시안 혼합 모델은 3개의 클러스터를 잘 나눌 수 있습니다(꽃잎 길이와 너비, 꽃받침 길이와 너비 4개의 특성을 모두 사용합니다)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "c4Gx5CEiDRn1" + }, + "outputs": [], + "source": [ + "from sklearn.mixture import GaussianMixture" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "PNp2fNGCDRn1" + }, + "outputs": [], + "source": [ + "y_pred = GaussianMixture(n_components=3, random_state=42).fit(X).predict(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4J_DxxOTDRn1" + }, + "source": [ + "각 클러스터를 하나의 클래스에 매핑해보죠. 이 매핑을 (책에서처럼) 하드 코딩하는 대신 (`scipy.stats.mode()` 함수를 사용해) 각 클러스터에서 가장 많은 클래스를 선택합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "in6fvsHwDRn1", + "outputId": "c445736b-fd31-4f93-d994-42713dd02950" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{1: 0, 2: 1, 0: 2}" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy import stats\n", + "\n", + "mapping = {}\n", + "for class_id in np.unique(y):\n", + " mode, _ = stats.mode(y_pred[y==class_id])\n", + " mapping[mode[0]] = class_id\n", + "\n", + "mapping" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "xPPdxkvtDRn2" + }, + "outputs": [], + "source": [ + "y_pred = np.array([mapping[cluster_id] for cluster_id in y_pred])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "VO2iUrFHDRn2", + "outputId": "2bfb0c08-3de2-4434-c5f7-43a87f54bafb" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(X[y_pred==0, 2], X[y_pred==0, 3], \"yo\", label=\"Cluster 1\")\n", + "plt.plot(X[y_pred==1, 2], X[y_pred==1, 3], \"bs\", label=\"Cluster 2\")\n", + "plt.plot(X[y_pred==2, 2], X[y_pred==2, 3], \"g^\", label=\"Cluster 3\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.legend(loc=\"upper left\", fontsize=12)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "MAvROvrGDRn2", + "outputId": "37242143-a543-4643-a273-8c72f57765ed" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "145" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(y_pred==y)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "GV_ZUa-QDRn3", + "outputId": "20d2d9b6-11d4-4958-85d2-467cd05ef1c2" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9666666666666667" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(y_pred==y) / len(y_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jShtxQDsDRn3" + }, + "source": [ + "**노트**: 사이킷런 알고리즘이 이따금 업데이트되기 때문에 이 노트북의 결과가 책과 조금 다를 수 있습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "xbi5pS5SDRn3" + }, + "source": [ + "## K-평균" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Xe7OmDeZDRn3" + }, + "source": [ + "먼저 예제 데이터를 생성해 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ix5g86PfDRn3" + }, + "outputs": [], + "source": [ + "from sklearn.datasets import make_blobs" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "I5NtJdKaDRn4" + }, + "outputs": [], + "source": [ + "blob_centers = np.array(\n", + " [[ 0.2, 2.3],\n", + " [-1.5 , 2.3],\n", + " [-2.8, 1.8],\n", + " [-2.8, 2.8],\n", + " [-2.8, 1.3]])\n", + "blob_std = np.array([0.4, 0.3, 0.1, 0.1, 0.1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "GgW2CeBCDRn4" + }, + "outputs": [], + "source": [ + "X, y = make_blobs(n_samples=2000, centers=blob_centers,\n", + " cluster_std=blob_std, random_state=7)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MqZ6R5yaDRn4" + }, + "source": [ + "데이터를 그래프로 그립니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SoBIySCCDRn4" + }, + "outputs": [], + "source": [ + "def plot_clusters(X, y=None):\n", + " plt.scatter(X[:, 0], X[:, 1], c=y, s=1)\n", + " plt.xlabel(\"$x_1$\", fontsize=14)\n", + " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "XPobAJYpDRn4", + "outputId": "405d8227-613d-4b63-be37-7d0e5b0b71f2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: blobs_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plot_clusters(X)\n", + "save_fig(\"blobs_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "hI6mBvcEDRn5" + }, + "source": [ + "**훈련과 예측**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "tW5mZU-0DRn5" + }, + "source": [ + "이 데이터셋에 K-평균 군집 알고리즘을 훈련해 보겠습니다. 이 알고리즘은 클러스터 중심을 찾고 각 샘플을 가까운 클러스터에 할당합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "nrOyZDfHDRn5" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "9Q11f72sDRn5" + }, + "outputs": [], + "source": [ + "k = 5\n", + "kmeans = KMeans(n_clusters=k, random_state=42)\n", + "y_pred = kmeans.fit_predict(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dRnO6cReDRn5" + }, + "source": [ + "각 샘플은 5개의 클러스터 중 하나에 할당됩니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "pRteTrQjDRn5", + "outputId": "b6624063-992c-4354-8384-ee3cbce5584b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4, 0, 1, ..., 2, 1, 0], dtype=int32)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_pred" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "5o-bhV4HDRn5", + "outputId": "38ff4ed1-aedd-4052-9a4d-de8a0ce58838" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_pred is kmeans.labels_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mKSHX6zUDRn6" + }, + "source": [ + "5개의 _센트로이드_ (즉 클러스터 중심)을 찾았습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "d3GRS2QwDRn6", + "outputId": "90205ef6-83cf-4829-a610-49bb46fb9f01" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-2.80389616, 1.80117999],\n", + " [ 0.20876306, 2.25551336],\n", + " [-2.79290307, 2.79641063],\n", + " [-1.46679593, 2.28585348],\n", + " [-2.80037642, 1.30082566]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.cluster_centers_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gnIBkKeLDRn6" + }, + "source": [ + "`KMeans` 객체는 훈련한 샘플의 레이블을 가지고 있습니다. 조금 혼동스럽지만 여기에서 샘플의 _레이블_ 은 샘플에 할당한 클러스터의 인덱스입니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "k2v5up9QDRn6", + "outputId": "000dc45d-e2e5-4e30-97da-f886cbc3c4a8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4, 0, 1, ..., 2, 1, 0], dtype=int32)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.labels_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_ZG8jqh-DRn6" + }, + "source": [ + "물론 새로운 샘플의 레이블을 예측할 수 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "wmUKGmd6DRn6", + "outputId": "023857d1-811c-477d-be8a-6782e550c62a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 1, 2, 2], dtype=int32)" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_new = np.array([[0, 2], [3, 2], [-3, 3], [-3, 2.5]])\n", + "kmeans.predict(X_new)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0icguIZ_DRn6" + }, + "source": [ + "**결정 경계**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wvoMN8MeDRn7" + }, + "source": [ + "이 모델의 결정 경계를 그려 보죠. 이 그림은 _보로노이 다이어그램_ 이 됩니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ReWwW7UmDRn7" + }, + "outputs": [], + "source": [ + "def plot_data(X):\n", + " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", + "\n", + "def plot_centroids(centroids, weights=None, circle_color='w', cross_color='k'):\n", + " if weights is not None:\n", + " centroids = centroids[weights > weights.max() / 10]\n", + " plt.scatter(centroids[:, 0], centroids[:, 1],\n", + " marker='o', s=35, linewidths=8,\n", + " color=circle_color, zorder=10, alpha=0.9)\n", + " plt.scatter(centroids[:, 0], centroids[:, 1],\n", + " marker='x', s=2, linewidths=12, \n", + " color=cross_color, zorder=11, alpha=1)\n", + "\n", + "def plot_decision_boundaries(clusterer, X, resolution=1000, show_centroids=True,\n", + " show_xlabels=True, show_ylabels=True):\n", + " mins = X.min(axis=0) - 0.1\n", + " maxs = X.max(axis=0) + 0.1\n", + " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", + " np.linspace(mins[1], maxs[1], resolution))\n", + " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + "\n", + " plt.contourf(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", + " cmap=\"Pastel2\")\n", + " plt.contour(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", + " linewidths=1, colors='k')\n", + " plot_data(X)\n", + " if show_centroids:\n", + " plot_centroids(clusterer.cluster_centers_)\n", + "\n", + " if show_xlabels:\n", + " plt.xlabel(\"$x_1$\", fontsize=14)\n", + " else:\n", + " plt.tick_params(labelbottom=False)\n", + " if show_ylabels:\n", + " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", + " else:\n", + " plt.tick_params(labelleft=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "3ryAVBMUDRn7", + "outputId": "056c30d3-e72f-4b42-eedc-b4f6c0b60ce1" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: voronoi_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plot_decision_boundaries(kmeans, X)\n", + "save_fig(\"voronoi_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BYgQ0bVMDRn7" + }, + "source": [ + "나쁘지 않군요! 경계 근처에 있는 일부 샘플은 아마도 잘못 클러스터에 할당된 것 같습니다. 하지만 전반적으로 아주 좋은 것 같습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5BpGmZYSDRn7" + }, + "source": [ + "**하드 군집 _vs_ 소프트 군집**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4hiS2mTKDRn8" + }, + "source": [ + "_하드 군집_ 은 각 샘플에 대해 가장 가까운 클러스터를 선택합니다. 이 대신 샘플에서 5개의 센트로이드까지 거리를 측정하는 것이 나을 수 있습니다. `transform()` 메서드에서 이 거리를 계산합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "hOkmBNyCDRn8", + "outputId": "ee0f8380-c9b9-444a-dc79-c3d0d8fc735a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[2.81093633, 0.32995317, 2.9042344 , 1.49439034, 2.88633901],\n", + " [5.80730058, 2.80290755, 5.84739223, 4.4759332 , 5.84236351],\n", + " [1.21475352, 3.29399768, 0.29040966, 1.69136631, 1.71086031],\n", + " [0.72581411, 3.21806371, 0.36159148, 1.54808703, 1.21567622]])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.transform(X_new)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mm_xZcwGDRn8" + }, + "source": [ + "이 거리가 샘플과 센트로이드 사이의 유클리드 거리인지 확인할 수 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DDm5zKfHDRn8", + "outputId": "3e78803f-b778-4d01-ced5-9253e9ad8993" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[2.81093633, 0.32995317, 2.9042344 , 1.49439034, 2.88633901],\n", + " [5.80730058, 2.80290755, 5.84739223, 4.4759332 , 5.84236351],\n", + " [1.21475352, 3.29399768, 0.29040966, 1.69136631, 1.71086031],\n", + " [0.72581411, 3.21806371, 0.36159148, 1.54808703, 1.21567622]])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linalg.norm(np.tile(X_new, (1, k)).reshape(-1, k, 2) - kmeans.cluster_centers_, axis=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uUg1eRjrDRn8" + }, + "source": [ + "### K-평균 알고리즘" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6guLvX6gDRn8" + }, + "source": [ + "K-평균 알고리즘은 가장 빠르고 가장 간단한 군집 알고리즘 중 하나입니다:\n", + "* 먼저 $k$ 개의 센트로이드를 랜덤하게 초기화합니다: 데이터셋에서 $k$ 개의 샘플을 랜덤하게 선택하고 센트로이드를 그 위치에 놓습니다.\n", + "* 수렴할 때까지 다음을 반복합니다(즉, 센트로이드가 더이상 이동하지 않을 때까지):\n", + " * 각 샘플을 가장 가까운 센트로이드에 할당합니다.\n", + " * 센트로이드에 할당된 샘플의 평균으로 센트로이드를 업데이트합니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-GgbWnnfDRn8" + }, + "source": [ + "`KMeans` 클래스는 기본적으로 최적화된 알고리즘을 적용합니다. (교육적인 목적으로) 원래 K-평균 알고리즘을 사용하려면 `init=\"randome\"`, `n_init=1`, `algorithm=\"full\"`로 설정해야 합니다. 이 매개변수들은 아래에서 설명하겠습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "j7iiWdeADRn8" + }, + "source": [ + "K-평균 알고리즘을 1, 2, 3회 반복하고 센트로이드가 어떻게 움직이는지 확인해 보겠습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Qt9_WHYoDRn8", + "outputId": "873b926f-b90c-4cb7-a68f-987a064e587f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "KMeans(algorithm='full', init='random', max_iter=3, n_clusters=5, n_init=1,\n", + " random_state=0)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_iter1 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", + " algorithm=\"full\", max_iter=1, random_state=0)\n", + "kmeans_iter2 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", + " algorithm=\"full\", max_iter=2, random_state=0)\n", + "kmeans_iter3 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", + " algorithm=\"full\", max_iter=3, random_state=0)\n", + "kmeans_iter1.fit(X)\n", + "kmeans_iter2.fit(X)\n", + "kmeans_iter3.fit(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Epxlp7oMDRn9" + }, + "source": [ + "그래프를 그려 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bE10MraADRn9", + "outputId": "d94e6dfa-c2c8-47ad-f49d-a3e704124606" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: kmeans_algorithm_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 8))\n", + "\n", + "plt.subplot(321)\n", + "plot_data(X)\n", + "plot_centroids(kmeans_iter1.cluster_centers_, circle_color='r', cross_color='w')\n", + "plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", + "plt.tick_params(labelbottom=False)\n", + "plt.title(\"Update the centroids (initially randomly)\", fontsize=14)\n", + "\n", + "plt.subplot(322)\n", + "plot_decision_boundaries(kmeans_iter1, X, show_xlabels=False, show_ylabels=False)\n", + "plt.title(\"Label the instances\", fontsize=14)\n", + "\n", + "plt.subplot(323)\n", + "plot_decision_boundaries(kmeans_iter1, X, show_centroids=False, show_xlabels=False)\n", + "plot_centroids(kmeans_iter2.cluster_centers_)\n", + "\n", + "plt.subplot(324)\n", + "plot_decision_boundaries(kmeans_iter2, X, show_xlabels=False, show_ylabels=False)\n", + "\n", + "plt.subplot(325)\n", + "plot_decision_boundaries(kmeans_iter2, X, show_centroids=False)\n", + "plot_centroids(kmeans_iter3.cluster_centers_)\n", + "\n", + "plt.subplot(326)\n", + "plot_decision_boundaries(kmeans_iter3, X, show_ylabels=False)\n", + "\n", + "save_fig(\"kmeans_algorithm_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UlAficcvDRn9" + }, + "source": [ + "**K-평균의 변동성**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "aLMO5it1DRn9" + }, + "source": [ + "원래 K-평균 알고리즘에서는 센트로이가 그냥 랜덤하게 초기되고 알고리즘은 단순히 한번씩 반복하여 앞서 본 것처럼 점차 센트로이드를 개선시킵니다.\n", + "\n", + "하지만 이 방식의 문제점은 K-평균을 여러번 (또는 다른 랜덤 시드로) 실행하면 아래에서 보듯이 매우 다른 결과를 얻게됩니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "I6mSUIGTDRn9" + }, + "outputs": [], + "source": [ + "def plot_clusterer_comparison(clusterer1, clusterer2, X, title1=None, title2=None):\n", + " clusterer1.fit(X)\n", + " clusterer2.fit(X)\n", + "\n", + " plt.figure(figsize=(10, 3.2))\n", + "\n", + " plt.subplot(121)\n", + " plot_decision_boundaries(clusterer1, X)\n", + " if title1:\n", + " plt.title(title1, fontsize=14)\n", + "\n", + " plt.subplot(122)\n", + " plot_decision_boundaries(clusterer2, X, show_ylabels=False)\n", + " if title2:\n", + " plt.title(title2, fontsize=14)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "TkX2ABn5DRn9", + "outputId": "79ab1820-a892-45f3-f0ea-8093bd24c2b1" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: kmeans_variability_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "kmeans_rnd_init1 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", + " algorithm=\"full\", random_state=2)\n", + "kmeans_rnd_init2 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", + " algorithm=\"full\", random_state=5)\n", + "\n", + "plot_clusterer_comparison(kmeans_rnd_init1, kmeans_rnd_init2, X,\n", + " \"Solution 1\", \"Solution 2 (with a different random init)\")\n", + "\n", + "save_fig(\"kmeans_variability_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ClG6cQmTDRn9" + }, + "source": [ + "### 이너셔" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "aji12IHnDRn-" + }, + "source": [ + "최선의 모델을 선택하려면 K-평균 모델의 성능을 평가할 방법이 있어야 합니다. 안타깝지만 군집은 비지도 학습이기 때문에 타깃이 없습니다. 하지만 적어도 각 샘플과 센트로이드 사이의 거리는 측정할 수 있습니다. 이것이 _이너셔_ 지표의 아이디어입니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "gG4PPLJHDRn-", + "outputId": "ed24921f-0af4-4278-82b1-871b00b03a5f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "211.5985372581683" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.inertia_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vkPeB0yfDRn-" + }, + "source": [ + "이너셔는 각 훈련 샘플과 가장 가까운 센트로이드 사이의 제곱 거리의 합으로 쉽게 검증할 수 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "80fkIcIJDRn-", + "outputId": "1887dbb5-7464-4836-e339-acc6e74a314a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "211.5985372581688" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_dist = kmeans.transform(X)\n", + "np.sum(X_dist[np.arange(len(X_dist)), kmeans.labels_]**2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "34pZnkDvDRn-" + }, + "source": [ + "`score()` 메서드는 음의 이너셔를 반환합니다. 왜 음수일까요? 사이킷런의 `score()` 메서드는 항상 \" _큰 값이 좋은 것_ \" 규칙을 따라야 하기 때문입니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "e0w-gelaDRn-", + "outputId": "2063e624-6ea9-4078-f0b5-c2a4a1d23d16" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-211.5985372581683" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.score(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HxMSHTyQDRn-" + }, + "source": [ + "### 다중 초기화" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Jc4rvV5cDRn-" + }, + "source": [ + "변동성 이슈를 해결하는 한 방법은 단순히 K-평균 알고리즘을 랜덤 초기화를 다르게 하여 여러 번 실행하고 가장 작은 이너셔를 만드는 솔루션을 선택합니다. 예를 들어 앞선 그림에 있는 엉터리 모델 두 개의 이너셔는 다음과 같습니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2JHWNvmvDRn-", + "outputId": "7d78e812-2636-4ce4-e33e-9d5e319ea429" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "219.43539442771402" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_rnd_init1.inertia_" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "T2nDkPSdDRn_", + "outputId": "344bf750-ebe7-4ca7-a95b-da166dd293ee" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "211.5985372581683" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_rnd_init2.inertia_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vN7CEsLkDRn_" + }, + "source": [ + "여기서 볼 수 있듯이 앞서 훈련한 \"좋은\" 모델보다 이너셔가 더 높습니다. 즉 더 나쁘다는 것을 의미합니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Ze6UsZizDRn_" + }, + "source": [ + "`n_init` 매개변수를 지정하면 사이킷런은 원래 알고리즘을 `n_init` 번 실행하고 이너셔가 가장 작은 솔루션을 선택합니다. 이 매개변수의 기본값은 `n_init=10`입니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "q1DOKtbmDRn_", + "outputId": "ab38b60e-860e-4698-b6fa-667275bed99f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "KMeans(algorithm='full', init='random', n_clusters=5, random_state=2)" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_rnd_10_inits = KMeans(n_clusters=5, init=\"random\", n_init=10,\n", + " algorithm=\"full\", random_state=2)\n", + "kmeans_rnd_10_inits.fit(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "sx2e02-DDRn_" + }, + "source": [ + "여기에서 볼 수 있듯이 결국 처음 만들었던 모델을 얻었습니다. 이 모델이 최적의 K-평균 결과로 보입니다($k=5$라고 가정하고 이너셔를 기준으로 했을 때입니다)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "J0RqlWHQDRn_", + "outputId": "086cb82b-c484-4bc7-c8e9-dbfd8a29fc87" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plot_decision_boundaries(kmeans_rnd_10_inits, X)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gVAo_fPzDRn_" + }, + "source": [ + "### 센트로이드 초기화 방법" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HAl26tjbDRn_" + }, + "source": [ + "센트로이드를 완전히 랜덤하게 초기화하는 대신 David Arthur와 Sergei Vassilvitskii가 [2006년 논문](https://goo.gl/eNUPw6)에서 제안한 다음 알고리즘을 사용해 초기화하는 것이 더 좋습니다:\n", + "* 데이터셋에서 무작위로 균등하게 하나의 센트로이드 $c_1$을 선택합니다.\n", + "* $D(\\mathbf{x}_i)^2$ / $\\sum\\limits_{j=1}^{m}{D(\\mathbf{x}_j)}^2$의 확률로 샘플 $\\mathbf{x}_i$를 새로운 센트로이드 $c_i$로 선택합니다. 여기에서 $D(\\mathbf{x}_i)$는 샘플 $\\mathbf{x}_i$에서 이미 선택된 가장 가까운 센트로이드까지 거리입니다. 이 확률 분포는 이미 선택한 센트로이드에서 멀리 떨어진 샘플을 센트로이드로 선택할 가능성을 높입니다.\n", + "* $k$ 개의 센트로이드를 선택할 때까지 이전 단계를 반복합니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "N_ELopShDRn_" + }, + "source": [ + "K-평균++ 알고리즘의 나머지는 일반 K-평균과 같습니다. 이 초기화 방식을 사용하면 K-평균 알고리즘이 최적의 솔루션에 수렴할 가능성이 훨씬 높아집니다. 따라서 `n_init` 값을 상당히 줄일 수 있습니다. 대부분의 경우 `n_init`를 줄이는 것이 초기화 과정에 추가된 복잡도를 보상합니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vjVEhQD7DRn_" + }, + "source": [ + "K-평균++ 초기화를 사용하려면 간단하게 `init=\"k-means++\"`로 지정하면 됩니다(사실 이 값이 기본값입니다):" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "dtlHrvfoDRoA", + "outputId": "419b494c-4318-4dbe-9580-271a3e7fa893" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "KMeans()" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "KMeans()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "7CE_xYseDRoA", + "outputId": "c81c40d3-7ad8-4b46-fe0e-5383b81b5579" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "211.5985372581683" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "good_init = np.array([[-3, 3], [-3, 2], [-3, 1], [-1, 2], [0, 2]])\n", + "kmeans = KMeans(n_clusters=5, init=good_init, n_init=1, random_state=42)\n", + "kmeans.fit(X)\n", + "kmeans.inertia_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bf-yt9YJDRoA" + }, + "source": [ + "### K-평균 속도 개선" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "RTANhQZtDRoA" + }, + "source": [ + "K-평균 알고리즘은 불필요한 거리 계산을 많이 피하는 식으로 속도를 크게 높일 수 있습니다. 이를 위해 삼각 부등식을 사용합니다(3개의 포인트 A, B, C가 있을 때, 거리 AC는 항상 AC ≤ AB + BC를 만족합니다). 그리고 샘플과 센트로이드 사이 거리의 최솟값과 최댓값을 유지합니다(더 자세한 내용은 Charles Elkan의 [2003년 논문](https://www.aaai.org/Papers/ICML/2003/ICML03-022.pdf)을 참고하세요)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Wej3luuADRoA" + }, + "source": [ + "Elkan의 K-평균 방식을 사용하려면 `algorithm=\"elkan\"`으로 설정하세요. 이 방법은 희소 행렬을 지원하지 않습니다. 따라서 사이킷런은 밀집 배열에는 `\"elkan\"`을 사용하고 희소 행렬에는 (기본 K-평균 알고리즘인) `\"full`을 사용합니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "pIaJfcmfDRoA", + "outputId": "9a246ec1-1fb9-4973-9bc7-3a6e728189bd" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "125 ms ± 1.36 ms per loop (mean ± std. dev. of 7 runs, 50 loops each)\n" + ] + } + ], + "source": [ + "%timeit -n 50 KMeans(algorithm=\"elkan\", random_state=42).fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "QuwU7JWUDRoA", + "outputId": "85639ed3-590e-45d7-a0d6-c2d3d64ab8f3", + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "116 ms ± 366 µs per loop (mean ± std. dev. of 7 runs, 50 loops each)\n" + ] + } + ], + "source": [ + "%timeit -n 50 KMeans(algorithm=\"full\", random_state=42).fit(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "RhSuSgm2DRoA" + }, + "source": [ + "데이터셋이 작기 때문에 여기에서는 큰 차이가 없습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5k6KAvP1DRoA" + }, + "source": [ + "### 미니배치 K-평균" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ZGWTsbcTDRoA" + }, + "source": [ + "사이킷런은 미니배치를 지원하는 K-평균 방식도 제공합니다(이 [논문](http://www.eecs.tufts.edu/~dsculley/papers/fastkmeans.pdf) 참조):" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bKF_G0eyDRoB" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import MiniBatchKMeans" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "sl1hpxcsDRoB", + "outputId": "053ab7ce-b993-4bd3-c1ee-a0f98b8d0124" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "MiniBatchKMeans(n_clusters=5, random_state=42)" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "minibatch_kmeans = MiniBatchKMeans(n_clusters=5, random_state=42)\n", + "minibatch_kmeans.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_jGJqdCSDRoB", + "outputId": "5592c55b-9b3e-4e70-e49f-8621f2a4ee6b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "211.93186531476786" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "minibatch_kmeans.inertia_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jTksbh4-DRoB" + }, + "source": [ + "데이터셋이 메모리에 다 들어가지 못하면 가장 간단한 방법은 이전 장의 점진적 PCA에서 했던 것처럼 `memmap` 클래스를 사용하는 것입니다. 먼저 MNIST 데이터를 로드합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "mcWbyh-PDRoB" + }, + "outputs": [], + "source": [ + "import urllib.request\n", + "from sklearn.datasets import fetch_openml\n", + "\n", + "mnist = fetch_openml('mnist_784', version=1)\n", + "mnist.target = mnist.target.astype(np.int64)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "C3wnrmzVDRoB" + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(\n", + " mnist[\"data\"], mnist[\"target\"], random_state=42)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Cs4q4J8ZDRoB" + }, + "source": [ + "`memmap`에 데이터를 기록합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HIh14ESsDRoB" + }, + "outputs": [], + "source": [ + "filename = \"my_mnist.data\"\n", + "X_mm = np.memmap(filename, dtype='float32', mode='write', shape=X_train.shape)\n", + "X_mm[:] = X_train" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "oIMPXDkJDRoB", + "outputId": "96e20418-8ffa-4770-e264-38728600d017", + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "MiniBatchKMeans(batch_size=10, n_clusters=10, random_state=42)" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "minibatch_kmeans = MiniBatchKMeans(n_clusters=10, batch_size=10, random_state=42)\n", + "minibatch_kmeans.fit(X_mm)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0SPpc5SgDRoB" + }, + "source": [ + "데이터가 너무 커서 `memmap`을 사용할 수 없다면 문제는 더 복잡해집니다. 배치를 로드하는 함수를 먼저 만들어 보죠(실전에서는 디스크에서 데이터를 로드합니다):" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "J44lkWPIDRoC" + }, + "outputs": [], + "source": [ + "def load_next_batch(batch_size):\n", + " return X[np.random.choice(len(X), batch_size, replace=False)]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ZzNe3OjQDRoC" + }, + "source": [ + "한 번에 하나의 배치를 모델에 주입하여 훈련할 수 있습니다. 또한 여러 번 초기화를 수행하고 이너셔가 가장 낮은 모델을 선택합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "XyJEXMyWDRoC" + }, + "outputs": [], + "source": [ + "np.random.seed(42)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "L0hIyBrdDRoC" + }, + "outputs": [], + "source": [ + "k = 5\n", + "n_init = 10\n", + "n_iterations = 100\n", + "batch_size = 100\n", + "init_size = 500 # K-Means++ 초기화를 위해 충분한 데이터 전달\n", + "evaluate_on_last_n_iters = 10\n", + "\n", + "best_kmeans = None\n", + "\n", + "for init in range(n_init):\n", + " minibatch_kmeans = MiniBatchKMeans(n_clusters=k, init_size=init_size)\n", + " X_init = load_next_batch(init_size)\n", + " minibatch_kmeans.partial_fit(X_init)\n", + "\n", + " minibatch_kmeans.sum_inertia_ = 0\n", + " for iteration in range(n_iterations):\n", + " X_batch = load_next_batch(batch_size)\n", + " minibatch_kmeans.partial_fit(X_batch)\n", + " if iteration >= n_iterations - evaluate_on_last_n_iters:\n", + " minibatch_kmeans.sum_inertia_ += minibatch_kmeans.inertia_\n", + "\n", + " if (best_kmeans is None or\n", + " minibatch_kmeans.sum_inertia_ < best_kmeans.sum_inertia_):\n", + " best_kmeans = minibatch_kmeans" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6lVimMfrDRoC", + "outputId": "84fa6592-a52e-4985-b0ba-288c67ce1629" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-211.70999744411446" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_kmeans.score(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VBLoVGe5DRoC" + }, + "source": [ + "미니배치 K-평균이 일반 K-평균보다 훨씬 빠릅니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "GE5lbyZ5DRoC", + "outputId": "23107c54-7f79-4d6d-9965-87d9887d2cdc" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "73.1 ms ± 2.15 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "%timeit KMeans(n_clusters=5, random_state=42).fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "zP2-bSZRDRoC", + "outputId": "a907d482-f113-4273-c001-5df1bd6d97a0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "11.9 ms ± 573 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + ] + } + ], + "source": [ + "%timeit MiniBatchKMeans(n_clusters=5, random_state=42).fit(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bHM-N8JYDRoC" + }, + "source": [ + "*훨씬* 빠르군요! 하지만 성능이 낮은 (즉 이너셔가 높은) 경우가 많습니다. _k_ 가 증가할수록 더 그렇습니다. 미니배치 K-평균과 일반 K-평균 사이에 이너셔와 훈련 시간을 그래프로 나타내 보겠습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "wVz7R5QuDRoD" + }, + "outputs": [], + "source": [ + "from timeit import timeit" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "qFzfesCzDRoD", + "outputId": "e4542bfe-44b4-4e20-f31f-b7f2e879866e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "100/100" + ] + } + ], + "source": [ + "times = np.empty((100, 2))\n", + "inertias = np.empty((100, 2))\n", + "for k in range(1, 101):\n", + " kmeans_ = KMeans(n_clusters=k, random_state=42)\n", + " minibatch_kmeans = MiniBatchKMeans(n_clusters=k, random_state=42)\n", + " print(\"\\r{}/{}\".format(k, 100), end=\"\")\n", + " times[k-1, 0] = timeit(\"kmeans_.fit(X)\", number=10, globals=globals())\n", + " times[k-1, 1] = timeit(\"minibatch_kmeans.fit(X)\", number=10, globals=globals())\n", + " inertias[k-1, 0] = kmeans_.inertia_\n", + " inertias[k-1, 1] = minibatch_kmeans.inertia_" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "aI0_pg99DRoD", + "outputId": "e29be046-6c67-45e3-c89c-fef5e2463fba" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: minibatch_kmeans_vs_kmeans\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,4))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(range(1, 101), inertias[:, 0], \"r--\", label=\"K-Means\")\n", + "plt.plot(range(1, 101), inertias[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", + "plt.xlabel(\"$k$\", fontsize=16)\n", + "plt.title(\"Inertia\", fontsize=14)\n", + "plt.legend(fontsize=14)\n", + "plt.axis([1, 100, 0, 100])\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(range(1, 101), times[:, 0], \"r--\", label=\"K-Means\")\n", + "plt.plot(range(1, 101), times[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", + "plt.xlabel(\"$k$\", fontsize=16)\n", + "plt.title(\"Training time (seconds)\", fontsize=14)\n", + "plt.axis([1, 100, 0, 6])\n", + "\n", + "save_fig(\"minibatch_kmeans_vs_kmeans\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ptPO7e7_DRoD" + }, + "source": [ + "### 최적의 클러스터 개수 찾기" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lmRYFRavDRoD" + }, + "source": [ + "클러스터 개수가 5보다 작거나 크게 지정하면 어떨까요?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "-qZ-WA-mDRoD", + "outputId": "5d86aaf7-1eb1-4c52-dfde-c68613f8526b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: bad_n_clusters_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "kmeans_k3 = KMeans(n_clusters=3, random_state=42)\n", + "kmeans_k8 = KMeans(n_clusters=8, random_state=42)\n", + "\n", + "plot_clusterer_comparison(kmeans_k3, kmeans_k8, X, \"$k=3$\", \"$k=8$\")\n", + "save_fig(\"bad_n_clusters_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "D8w5q1Z2DRoD" + }, + "source": [ + "두 모델 모두 좋아 보이지 않는군요. 이너셔는 어떨까요?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "sudajQ7zDRoD", + "outputId": "2f75359c-6b1b-46b0-cf39-f07dd7d2553d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "653.2167190021556" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_k3.inertia_" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "mDEs4_fqDRoE", + "outputId": "9facf4ec-e30b-4e1e-ba73-7b455f3b4320" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "119.11983416102889" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_k8.inertia_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gyyp7KwoDRoE" + }, + "source": [ + "$k$가 증가할수록 이너셔가 줄어들기 때문에 단순히 이너셔가 작은 $k$를 선택할 수 없군요. 실제 클러스터가 많을수록 샘플은 인접한 센트로이드에 더 가깝습니다. 따라서 이너셔가 더 작습니다. 하지만 $k$에 대한 이너셔를 그래프로 그리고 결과 그래프를 조사해 볼 수 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "8GSTJ3z4DRoE" + }, + "outputs": [], + "source": [ + "kmeans_per_k = [KMeans(n_clusters=k, random_state=42).fit(X)\n", + " for k in range(1, 10)]\n", + "inertias = [model.inertia_ for model in kmeans_per_k]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "5x4jh4iMDRoE", + "outputId": "690fa52d-752d-41b7-f4e6-bf932258996a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: inertia_vs_k_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 3.5))\n", + "plt.plot(range(1, 10), inertias, \"bo-\")\n", + "plt.xlabel(\"$k$\", fontsize=14)\n", + "plt.ylabel(\"Inertia\", fontsize=14)\n", + "plt.annotate('Elbow',\n", + " xy=(4, inertias[3]),\n", + " xytext=(0.55, 0.55),\n", + " textcoords='figure fraction',\n", + " fontsize=16,\n", + " arrowprops=dict(facecolor='black', shrink=0.1)\n", + " )\n", + "plt.axis([1, 8.5, 0, 1300])\n", + "save_fig(\"inertia_vs_k_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1y6_U9dtDRoE" + }, + "source": [ + "여기에서 볼 수 있듯이 $k=4$에서 엘보우가 있습니다. 이 값보다 클러스터가 작으면 나쁘다는 뜻입니다. 이보다 더 많으면 크게 도움이 되지 않고 배로 늘려도 그렇습니다. 따라서 $k=4$가 아주 좋은 선택입니다. 물론 이 예제에서는 이 값이 완벽하지 않습니다. 왼쪽 아래 두 클러스터가 하나의 클러스터로 간주되었지만 꽤 좋은 군집 결과입니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "W1XUeRkyDRoE", + "outputId": "2d40a129-36ae-4fe2-cb16-0d5faab1269e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_decision_boundaries(kmeans_per_k[4-1], X)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YjmnRYTmDRoE" + }, + "source": [ + "또 다른 방법은 모든 샘플에 대한 _실루엣 계수_ 의 평균인 _실루엣 점수_ 입니다. 한 샘플의 실루엣 계수는 $(b - a)/\\max(a, b)$입니다. 여기에서 $a$는 같은 클러스터에 있는 다른 샘플까지의 평균 거리입니다(이를 _클러스터 내부 평균 거리_ 라고 합니다). $b$는 가장 가까운 클러스터까지 평균 거리입니다. 즉 가장 가까운 클러스터(샘플 자신의 클러스터를 제외하고 $b$를 최소화하는 클러스터)의 샘플까지 평균 거리입니다. 실루엣 계수는 -1에서 +1 사이 값을 가집니다. +1에 가까우면 샘플이 다른 클러스터로부터 떨어져 자신의 클러스터 안에 잘 있다는 것을 의미합니다.0에 가까우면 클러스터 경계에 가깝다는 의미입니다. -1에 가까우면 샘플이 잘못된 클러스터에 할당되었을지 모릅니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Sqw36SNHDRoE" + }, + "source": [ + "$k$에 대한 실루엣 점수를 그래프로 그려보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6-xpXM_oDRoE" + }, + "outputs": [], + "source": [ + "from sklearn.metrics import silhouette_score" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Nqa5YmXcDRoE", + "outputId": "74a8929f-38f2-4e92-91d3-d54e4bb85ba3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.655517642572828" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "silhouette_score(X, kmeans.labels_)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "FTWjipcZDRoF" + }, + "outputs": [], + "source": [ + "silhouette_scores = [silhouette_score(X, model.labels_)\n", + " for model in kmeans_per_k[1:]]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "FXFYmXUJDRoF", + "outputId": "976c1066-1af3-4adf-84e8-2245f9e74403" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: silhouette_score_vs_k_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 3))\n", + "plt.plot(range(2, 10), silhouette_scores, \"bo-\")\n", + "plt.xlabel(\"$k$\", fontsize=14)\n", + "plt.ylabel(\"Silhouette score\", fontsize=14)\n", + "plt.axis([1.8, 8.5, 0.55, 0.7])\n", + "save_fig(\"silhouette_score_vs_k_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XUGKdG3ZDRoF" + }, + "source": [ + "여기에서 볼 수 있듯이 이 그래프는 이전보다 정보가 더 풍부합니다. 특히 $k=4$가 매우 좋은 선택이지만 $k=5$도 꽤 괜찮은 선택이라는 것을 보여줍니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1ymawYL9DRoF" + }, + "source": [ + "모든 샘플의 실루엣 계수를 할당된 클러스터와 실루엣 값으로 정렬하여 그리면 훨씬 많은 정보를 얻을 수 있습니다. 이를 _실루엣 다이어그램_ 이라고 합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "NYzoLj6LDRoF", + "outputId": "eebde800-3bdb-4e1e-9ec6-ffc44cc3dba8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: silhouette_analysis_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import silhouette_samples\n", + "from matplotlib.ticker import FixedLocator, FixedFormatter\n", + "\n", + "plt.figure(figsize=(11, 9))\n", + "\n", + "for k in (3, 4, 5, 6):\n", + " plt.subplot(2, 2, k - 2)\n", + " \n", + " y_pred = kmeans_per_k[k - 1].labels_\n", + " silhouette_coefficients = silhouette_samples(X, y_pred)\n", + "\n", + " padding = len(X) // 30\n", + " pos = padding\n", + " ticks = []\n", + " for i in range(k):\n", + " coeffs = silhouette_coefficients[y_pred == i]\n", + " coeffs.sort()\n", + "\n", + " color = mpl.cm.Spectral(i / k)\n", + " plt.fill_betweenx(np.arange(pos, pos + len(coeffs)), 0, coeffs,\n", + " facecolor=color, edgecolor=color, alpha=0.7)\n", + " ticks.append(pos + len(coeffs) // 2)\n", + " pos += len(coeffs) + padding\n", + "\n", + " plt.gca().yaxis.set_major_locator(FixedLocator(ticks))\n", + " plt.gca().yaxis.set_major_formatter(FixedFormatter(range(k)))\n", + " if k in (3, 5):\n", + " plt.ylabel(\"Cluster\")\n", + " \n", + " if k in (5, 6):\n", + " plt.gca().set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n", + " plt.xlabel(\"Silhouette Coefficient\")\n", + " else:\n", + " plt.tick_params(labelbottom=False)\n", + "\n", + " plt.axvline(x=silhouette_scores[k - 2], color=\"red\", linestyle=\"--\")\n", + " plt.title(\"$k={}$\".format(k), fontsize=16)\n", + "\n", + "save_fig(\"silhouette_analysis_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-S34TEliDRoF" + }, + "source": [ + "여기에서 볼 수 있듯이 $k=5$가 가장 좋은 선택입니다. 모든 클러스터의 크기가 거의 동일하고 평균 실루엣 점수를 나타내는 파선을 모두 넘었습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dPNi68Z5DRoF" + }, + "source": [ + "## K-평균의 한계" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "aMgN6WCTDRoF" + }, + "outputs": [], + "source": [ + "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n", + "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n", + "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n", + "X2 = X2 + [6, -8]\n", + "X = np.r_[X1, X2]\n", + "y = np.r_[y1, y2]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "gmW_YZwgDRoF", + "outputId": "0c2e3cc2-d2d4-42b6-af17-3cf61fb6380d" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_clusters(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "7bomC4NpDRoF", + "outputId": "3ada4c37-41ee-4544-b46b-5a2a591a4419" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "KMeans(n_clusters=3, random_state=42)" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_good = KMeans(n_clusters=3, init=np.array([[-1.5, 2.5], [0.5, 0], [4, 0]]), n_init=1, random_state=42)\n", + "kmeans_bad = KMeans(n_clusters=3, random_state=42)\n", + "kmeans_good.fit(X)\n", + "kmeans_bad.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "C20Eu9e2DRoG", + "outputId": "e634571f-526f-42f5-ee78-6f49ddb06373", + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: bad_kmeans_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 3.2))\n", + "\n", + "plt.subplot(121)\n", + "plot_decision_boundaries(kmeans_good, X)\n", + "plt.title(\"Inertia = {:.1f}\".format(kmeans_good.inertia_), fontsize=14)\n", + "\n", + "plt.subplot(122)\n", + "plot_decision_boundaries(kmeans_bad, X, show_ylabels=False)\n", + "plt.title(\"Inertia = {:.1f}\".format(kmeans_bad.inertia_), fontsize=14)\n", + "\n", + "save_fig(\"bad_kmeans_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OQ1d3ijdDRoG" + }, + "source": [ + "## 군집을 사용한 이미지 분할" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "841Y1rGpDRoG", + "outputId": "0454b8dc-a64b-408e-c388-6eaa94c77b51" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Downloading ladybug.png\n" + ] + }, + { + "data": { + "text/plain": [ + "('./images/unsupervised_learning/ladybug.png',\n", + " )" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 무당벌레 이미지를 다운로드합니다\n", + "images_path = os.path.join(PROJECT_ROOT_DIR, \"images\", \"unsupervised_learning\")\n", + "os.makedirs(images_path, exist_ok=True)\n", + "DOWNLOAD_ROOT = \"https://raw.githubusercontent.com/rickiepark/handson-ml2/master/\"\n", + "filename = \"ladybug.png\"\n", + "print(\"Downloading\", filename)\n", + "url = DOWNLOAD_ROOT + \"images/unsupervised_learning/\" + filename\n", + "urllib.request.urlretrieve(url, os.path.join(images_path, filename))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "hiD7xsPKDRoG", + "outputId": "8ff739de-2712-4b54-b875-f9b676005ce8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(533, 800, 3)" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from matplotlib.image import imread\n", + "image = imread(os.path.join(images_path, filename))\n", + "image.shape" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "AwMvu9icDRoG" + }, + "outputs": [], + "source": [ + "X = image.reshape(-1, 3)\n", + "kmeans = KMeans(n_clusters=8, random_state=42).fit(X)\n", + "segmented_img = kmeans.cluster_centers_[kmeans.labels_]\n", + "segmented_img = segmented_img.reshape(image.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "sfVGnoVKDRoG" + }, + "outputs": [], + "source": [ + "segmented_imgs = []\n", + "n_colors = (10, 8, 6, 4, 2)\n", + "for n_clusters in n_colors:\n", + " kmeans = KMeans(n_clusters=n_clusters, random_state=42).fit(X)\n", + " segmented_img = kmeans.cluster_centers_[kmeans.labels_]\n", + " segmented_imgs.append(segmented_img.reshape(image.shape))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "puGXvOZODRoG", + "outputId": "522dc834-17bd-4b73-a603-613f96b983b8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: image_segmentation_diagram\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "plt.subplots_adjust(wspace=0.05, hspace=0.1)\n", + "\n", + "plt.subplot(231)\n", + "plt.imshow(image)\n", + "plt.title(\"Original image\")\n", + "plt.axis('off')\n", + "\n", + "for idx, n_clusters in enumerate(n_colors):\n", + " plt.subplot(232 + idx)\n", + " plt.imshow(segmented_imgs[idx])\n", + " plt.title(\"{} colors\".format(n_clusters))\n", + " plt.axis('off')\n", + "\n", + "save_fig('image_segmentation_diagram', tight_layout=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cghm3ZFrDRoG" + }, + "source": [ + "## 군집을 사용한 전처리" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OPDV0t67DRoH" + }, + "source": [ + "MNIST와 유사하게 숫자 0에서 9까지 8x8 흑백 이미지 1,797개로 이루어진 _숫자 데이터셋_ 을 다루어 보겠습니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "e8xEwx5TDRoH" + }, + "outputs": [], + "source": [ + "from sklearn.datasets import load_digits" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "AfqcNFCoDRoH" + }, + "outputs": [], + "source": [ + "X_digits, y_digits = load_digits(return_X_y=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "osSGY8GIDRoH" + }, + "source": [ + "훈련 세트와 테스트 세트로 나눕니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "99-CnolKDRoH" + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2gtFlhdfDRoH" + }, + "outputs": [], + "source": [ + "X_train, X_test, y_train, y_test = train_test_split(X_digits, y_digits, random_state=42)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "SkjcRRBjDRoH" + }, + "source": [ + "로지스틱 회귀 모델을 훈련하고 테스트 세트에서 평가합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "UzbvgZj4DRoH" + }, + "outputs": [], + "source": [ + "from sklearn.linear_model import LogisticRegression" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "xKw50hLwDRoH", + "outputId": "58ff9b43-74fb-48f4-91f2-2853bad14176" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", + "log_reg.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "b3cCO_xNDRoH", + "outputId": "260de0ff-b2c4-4822-f8ad-d11f20588bcb" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9688888888888889" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg_score = log_reg.score(X_test, y_test)\n", + "log_reg_score" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Bg533_J-DRoI" + }, + "source": [ + "좋습니다. 기본 모델의 정확도는 96.89%입니다. 이제 K-평균을 전처리 단계로 사용해 더 향상할 수 있는지 알아 보죠. 훈련 세트를 50개의 클러스터로 만들고 이미지를 이 클러스터까지 거리로 바꾼 다음 로지스틱 회귀 모델을 적용하는 파이프라인을 만듭니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "VqkJYSK5DRoI" + }, + "outputs": [], + "source": [ + "from sklearn.pipeline import Pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "T8U0_5B2DRoI", + "outputId": "e0398633-f4df-4a3e-d703-7508d18afb37" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Pipeline(steps=[('kmeans', KMeans(n_clusters=50, random_state=42)),\n", + " ('log_reg',\n", + " LogisticRegression(max_iter=5000, multi_class='ovr',\n", + " random_state=42))])" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pipeline = Pipeline([\n", + " (\"kmeans\", KMeans(n_clusters=50, random_state=42)),\n", + " (\"log_reg\", LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)),\n", + "])\n", + "pipeline.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "WF6wWEVLDRoI", + "outputId": "d6f95346-9a51-4c53-a540-373c7021d9e8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9777777777777777" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pipeline_score = pipeline.score(X_test, y_test)\n", + "pipeline_score" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "g8Qi0WKSDRoI" + }, + "source": [ + "얼마나 오차가 감소했나요?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "n8DR_2GSDRoI", + "outputId": "bd1ae2c2-b40c-4b2c-d23e-33505a469c7b", + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.28571428571428414" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 - (1 - pipeline_score) / (1 - log_reg_score)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b_efAhZuDRoI" + }, + "source": [ + "어떤가요? 오차율을 35%나 줄였습니다! 하지만 클러스터 개수 $k$를 임의로 결정했습니다. 이 보다 더 나은 방법이 있겠죠. K-평균을 분류 파이프라인에서 전처리 단계로 사용했기 때문에 좋은 $k$ 값을 찾는 것은 이전보다 더 쉽습니다. 실루엣 분석을 수행하거나 이너셔를 최소화할 필요가 없습니다. 가장 좋은 $k$ 값은 가장 좋은 분류 성능을 내는 것입니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "yCb6cDKVDRoJ" + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import GridSearchCV" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wXGc5VWVDRoJ" + }, + "source": [ + "**경고**: 사용하는 하드웨어에 따라 다음 셀을 실행하는데 20분 또는 그 이상 걸릴 수 있습니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Mra8yx-7DRoJ", + "outputId": "7357a07b-0262-4de3-bba5-d98fcec6c3a9" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fitting 3 folds for each of 98 candidates, totalling 294 fits\n", + "[CV] END ...............................kmeans__n_clusters=2; total time= 0.6s\n", + "[CV] END ...............................kmeans__n_clusters=2; total time= 0.3s\n", + "[CV] END 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total time= 0.6s\n", + "[CV] END ...............................kmeans__n_clusters=6; total time= 0.8s\n", + "[CV] END ...............................kmeans__n_clusters=7; total time= 0.5s\n", + "[CV] END ...............................kmeans__n_clusters=7; total time= 1.1s\n", + "[CV] END ...............................kmeans__n_clusters=7; total time= 0.5s\n", + "[CV] END ...............................kmeans__n_clusters=8; total time= 0.6s\n", + "[CV] END ...............................kmeans__n_clusters=8; total time= 0.7s\n", + "[CV] END ...............................kmeans__n_clusters=8; total time= 0.7s\n", + "[CV] END ...............................kmeans__n_clusters=9; total time= 0.9s\n", + "[CV] END ...............................kmeans__n_clusters=9; total time= 1.1s\n", + "[CV] END ...............................kmeans__n_clusters=9; total time= 0.8s\n", + "[CV] END ..............................kmeans__n_clusters=10; total time= 0.8s\n", + "[CV] END 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total time= 1.7s\n", + "[CV] END ..............................kmeans__n_clusters=14; total time= 2.1s\n", + "[CV] END ..............................kmeans__n_clusters=14; total time= 2.2s\n", + "[CV] END ..............................kmeans__n_clusters=15; total time= 2.4s\n", + "[CV] END ..............................kmeans__n_clusters=15; total time= 2.3s\n", + "[CV] END ..............................kmeans__n_clusters=15; total time= 2.0s\n", + "[CV] END ..............................kmeans__n_clusters=16; total time= 2.5s\n", + "[CV] END ..............................kmeans__n_clusters=16; total time= 2.2s\n", + "[CV] END ..............................kmeans__n_clusters=16; total time= 2.3s\n", + "[CV] END ..............................kmeans__n_clusters=17; total time= 2.6s\n", + "[CV] END ..............................kmeans__n_clusters=17; total time= 2.5s\n", + "[CV] END ..............................kmeans__n_clusters=17; total time= 2.4s\n", + "[CV] END 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total time= 3.4s\n", + "[CV] END ..............................kmeans__n_clusters=22; total time= 3.5s\n", + "[CV] END ..............................kmeans__n_clusters=22; total time= 3.3s\n", + "[CV] END ..............................kmeans__n_clusters=22; total time= 3.7s\n", + "[CV] END ..............................kmeans__n_clusters=23; total time= 3.6s\n", + "[CV] END ..............................kmeans__n_clusters=23; total time= 4.3s\n", + "[CV] END ..............................kmeans__n_clusters=23; total time= 3.9s\n", + "[CV] END ..............................kmeans__n_clusters=24; total time= 4.0s\n", + "[CV] END ..............................kmeans__n_clusters=24; total time= 4.1s\n", + "[CV] END ..............................kmeans__n_clusters=24; total time= 4.2s\n", + "[CV] END ..............................kmeans__n_clusters=25; total time= 4.0s\n", + "[CV] END ..............................kmeans__n_clusters=25; total time= 4.3s\n", + "[CV] END 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total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=29; total time= 4.6s\n", + "[CV] END ..............................kmeans__n_clusters=30; total time= 4.5s\n", + "[CV] END ..............................kmeans__n_clusters=30; total time= 4.9s\n", + "[CV] END ..............................kmeans__n_clusters=30; total time= 4.4s\n", + "[CV] END ..............................kmeans__n_clusters=31; total time= 4.9s\n", + "[CV] END ..............................kmeans__n_clusters=31; total time= 4.6s\n", + "[CV] END ..............................kmeans__n_clusters=31; total time= 4.4s\n", + "[CV] END ..............................kmeans__n_clusters=32; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=32; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=32; total time= 4.8s\n", + "[CV] END ..............................kmeans__n_clusters=33; total time= 5.4s\n", + "[CV] END 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total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=44; total time= 5.0s\n", + "[CV] END ..............................kmeans__n_clusters=45; total time= 5.5s\n", + "[CV] END ..............................kmeans__n_clusters=45; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=45; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=46; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=46; total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=46; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=47; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=47; total time= 4.8s\n", + "[CV] END ..............................kmeans__n_clusters=47; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=48; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=48; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=48; total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=49; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=49; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=49; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=50; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=50; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=50; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=51; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=51; total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=51; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=52; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=52; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=52; total time= 5.5s\n", + "[CV] END ..............................kmeans__n_clusters=53; total time= 5.5s\n", + "[CV] END ..............................kmeans__n_clusters=53; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=53; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=54; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=54; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=54; total time= 4.7s\n", + "[CV] END ..............................kmeans__n_clusters=55; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=55; total time= 5.3s\n", + "[CV] END ..............................kmeans__n_clusters=55; total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=56; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=56; total time= 5.1s\n", + "[CV] END ..............................kmeans__n_clusters=56; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=57; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=57; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=57; total time= 5.5s\n", + "[CV] END ..............................kmeans__n_clusters=58; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=58; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=58; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=59; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=59; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=59; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=60; total time= 5.5s\n", + "[CV] END ..............................kmeans__n_clusters=60; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=60; total time= 5.1s\n", + "[CV] END ..............................kmeans__n_clusters=61; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=61; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=61; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=62; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=62; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=62; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=63; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=63; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=63; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=64; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=64; total time= 6.4s\n", + "[CV] END ..............................kmeans__n_clusters=64; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=65; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=65; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=65; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=66; total time= 6.4s\n", + "[CV] END ..............................kmeans__n_clusters=66; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=66; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=67; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=67; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=67; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=68; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=68; total time= 5.2s\n", + "[CV] END ..............................kmeans__n_clusters=68; total time= 5.3s\n", + "[CV] END ..............................kmeans__n_clusters=69; total time= 5.5s\n", + "[CV] END ..............................kmeans__n_clusters=69; total time= 5.9s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] END ..............................kmeans__n_clusters=69; total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=70; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=70; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=70; total time= 5.7s\n", + "[CV] END 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total time= 6.6s\n", + "[CV] END ..............................kmeans__n_clusters=75; total time= 6.4s\n", + "[CV] END ..............................kmeans__n_clusters=75; total time= 6.5s\n", + "[CV] END ..............................kmeans__n_clusters=75; total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=76; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=76; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=76; total time= 4.8s\n", + "[CV] END ..............................kmeans__n_clusters=77; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=77; total time= 6.4s\n", + "[CV] END ..............................kmeans__n_clusters=77; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=78; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=78; total time= 6.1s\n", + "[CV] END 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total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=82; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=83; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=83; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=83; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=84; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=84; total time= 6.5s\n", + "[CV] END ..............................kmeans__n_clusters=84; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=85; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=85; total time= 6.6s\n", + "[CV] END ..............................kmeans__n_clusters=85; total time= 5.4s\n", + "[CV] END ..............................kmeans__n_clusters=86; total time= 6.8s\n", + "[CV] END ..............................kmeans__n_clusters=86; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=86; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=87; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=87; total time= 6.8s\n", + "[CV] END ..............................kmeans__n_clusters=87; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=88; total time= 5.8s\n", + "[CV] END ..............................kmeans__n_clusters=88; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=88; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=89; total time= 6.6s\n", + "[CV] END ..............................kmeans__n_clusters=89; total time= 6.5s\n", + "[CV] END ..............................kmeans__n_clusters=89; total time= 5.5s\n", + "[CV] END ..............................kmeans__n_clusters=90; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=90; total time= 6.7s\n", + "[CV] END ..............................kmeans__n_clusters=90; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=91; total time= 5.9s\n", + "[CV] END ..............................kmeans__n_clusters=91; total time= 6.4s\n", + "[CV] END ..............................kmeans__n_clusters=91; total time= 7.1s\n", + "[CV] END ..............................kmeans__n_clusters=92; total time= 5.6s\n", + "[CV] END ..............................kmeans__n_clusters=92; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=92; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=93; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=93; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=93; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=94; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=94; total time= 7.0s\n", + "[CV] END ..............................kmeans__n_clusters=94; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=95; total time= 5.7s\n", + "[CV] END ..............................kmeans__n_clusters=95; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=95; total time= 6.4s\n", + "[CV] END ..............................kmeans__n_clusters=96; total time= 6.0s\n", + "[CV] END ..............................kmeans__n_clusters=96; total time= 7.7s\n", + "[CV] END ..............................kmeans__n_clusters=96; total time= 6.1s\n", + "[CV] END ..............................kmeans__n_clusters=97; total time= 6.5s\n", + "[CV] END ..............................kmeans__n_clusters=97; total time= 6.8s\n", + "[CV] END ..............................kmeans__n_clusters=97; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=98; total time= 6.7s\n", + "[CV] END ..............................kmeans__n_clusters=98; total time= 6.3s\n", + "[CV] END ..............................kmeans__n_clusters=98; total time= 6.2s\n", + "[CV] END ..............................kmeans__n_clusters=99; total time= 6.9s\n", + "[CV] END ..............................kmeans__n_clusters=99; total time= 7.0s\n", + "[CV] END ..............................kmeans__n_clusters=99; total time= 6.6s\n" + ] + }, + { + "data": { + "text/plain": [ + "GridSearchCV(cv=3,\n", + " estimator=Pipeline(steps=[('kmeans',\n", + " KMeans(n_clusters=50, random_state=42)),\n", + " ('log_reg',\n", + " LogisticRegression(max_iter=5000,\n", + " multi_class='ovr',\n", + " random_state=42))]),\n", + " param_grid={'kmeans__n_clusters': range(2, 100)}, verbose=2)" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "param_grid = dict(kmeans__n_clusters=range(2, 100))\n", + "grid_clf = GridSearchCV(pipeline, param_grid, cv=3, verbose=2)\n", + "grid_clf.fit(X_train, y_train)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "SdUN_S5WDRoJ" + }, + "source": [ + "최고의 클러스터 개수를 확인해 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "9UQHQ3ZODRoJ", + "outputId": "9a57b751-c085-49b6-e76f-bfde2c527f91" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'kmeans__n_clusters': 95}" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.best_params_" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bitUjGYtDRoJ", + "outputId": "596f6c09-c88c-44e4-fa28-3c2a952dd006", + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9777777777777777" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NvpjoZDXDRoJ" + }, + "source": [ + "## 군집을 사용한 준지도 학습" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Q3lj6pOmDRoJ" + }, + "source": [ + "군집의 또 다른 사용처는 레이블이 없는 샘플이 많고 레이블이 있는 샘플이 적을 때 사용하는 준지도 학습입니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "73h2VNgkDRoJ" + }, + "source": [ + "레이블을 가진 샘플이 50개만 있을 때 로지스틱 회귀 모델의 성능을 확인해 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "8auX2h11DRoK" + }, + "outputs": [], + "source": [ + "n_labeled = 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Qd8dBzexDRoK", + "outputId": "37e972b8-0f22-4ad8-836c-62ad0dc3c6ef" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8333333333333334" + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", random_state=42)\n", + "log_reg.fit(X_train[:n_labeled], y_train[:n_labeled])\n", + "log_reg.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TdUCcWd7DRoK" + }, + "source": [ + "당연히 이전보다 훨씬 낮네요. 어떻게 더 향상할 수 있는지 알아 보겠습니다. 먼저 훈련 세트를 클러스터 50개로 군집합니다. 그다음 각 클러스터에서 센트로이드에 가장 가까운 이미지를 찾습니다. 이 이미지를 대표 이미지라고 부르겠습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Ae_Mrc62DRoK" + }, + "outputs": [], + "source": [ + "k = 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "UZkoHL_BDRoK" + }, + "outputs": [], + "source": [ + "kmeans = KMeans(n_clusters=k, random_state=42)\n", + "X_digits_dist = kmeans.fit_transform(X_train)\n", + "representative_digit_idx = np.argmin(X_digits_dist, axis=0)\n", + "X_representative_digits = X_train[representative_digit_idx]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1NokWddgDRoK" + }, + "source": [ + "대표 이미지를 출력하고 수동으로 레이블을 매겨 보겠습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "S72VQTXSDRoK", + "outputId": "451fab90-5eea-4708-eb22-3de7772311d9" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: representative_images_diagram\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 2))\n", + "for index, X_representative_digit in enumerate(X_representative_digits):\n", + " plt.subplot(k // 10, 10, index + 1)\n", + " plt.imshow(X_representative_digit.reshape(8, 8), cmap=\"binary\", interpolation=\"bilinear\")\n", + " plt.axis('off')\n", + "\n", + "save_fig(\"representative_images_diagram\", tight_layout=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rYuOS06ADRoK", + "outputId": "9421600e-9943-48d5-ede6-59620f659368" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4, 8, 0, 6, 8, 3, 7, 7, 9, 2, 5, 5, 8, 5, 2, 1, 2, 9, 6, 1, 1, 6,\n", + " 9, 0, 8, 3, 0, 7, 4, 1, 6, 5, 2, 4, 1, 8, 6, 3, 9, 2, 4, 2, 9, 4,\n", + " 7, 6, 2, 3, 1, 1])" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_train[representative_digit_idx]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "-aRkRAZQDRoK" + }, + "outputs": [], + "source": [ + "y_representative_digits = np.array([\n", + " 0, 1, 3, 2, 7, 6, 4, 6, 9, 5,\n", + " 1, 2, 9, 5, 2, 7, 8, 1, 8, 6,\n", + " 3, 1, 5, 4, 5, 4, 0, 3, 2, 6,\n", + " 1, 7, 7, 9, 1, 8, 6, 5, 4, 8,\n", + " 5, 3, 3, 6, 7, 9, 7, 8, 4, 9])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mwljDbMdDRoK" + }, + "source": [ + "이 데이터셋은 레이블이 있는 샘플이 50개뿐이지만 완전히 랜덤한 샘플이 아니라 각 샘플은 클러스터의 대표 이미지입니다. 성능이 더 나은지 확인해 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2V8bC6dtDRoL", + "outputId": "bedbe927-6830-471d-8a73-40a38f1ac24b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.09555555555555556" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", + "log_reg.fit(X_representative_digits, y_representative_digits)\n", + "log_reg.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_g9gbgERDRoL" + }, + "source": [ + "와우! 83.3%에서 91.3%로 확 올랐네요. 여전히 50개의 샘플로만 모델을 훈련했습니다. 샘플에 레이블을 다는 것은 비용이 많이 들고 어려운 작업입니다. 특히 전문가가 수동으로 작업할 때 그렇습니다. 이 때 랜덤한 샘플보다는 대표 샘플에 레이블을 다는 것이 좋은 생각입니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "n2XHVew_DRoL" + }, + "source": [ + "하지만 더 향상시킬 수 있습니다. 이 레이블을 같은 클러스터에 있는 다른 모든 샘플에 전파하면 어떨까요?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "f3R5DARKDRoL" + }, + "outputs": [], + "source": [ + "y_train_propagated = np.empty(len(X_train), dtype=np.int32)\n", + "for i in range(k):\n", + " y_train_propagated[kmeans.labels_==i] = y_representative_digits[i]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "CGrOu3ezDRoL", + "outputId": "c4503470-0160-46db-e357-2f5c2d07faa9" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", + "log_reg.fit(X_train, y_train_propagated)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "aTyOap7ODRoL", + "outputId": "d2dfcea7-db1e-46d9-b271-393f1e68e553" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.15333333333333332" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "igwOkk_9DRoL" + }, + "source": [ + "아주 조금 정확도를 높였습니다. 없는 것보다는 낫지만 센트로이드에 가까운 샘플에만 레이블을 전파하는 것이 나을지 모릅니다. 왜냐하면 전체 클러스터에 전파하면 일부 이상치를 포함하기 때문입니다. 레이블을 센트로이드에 가까운 75번째 백분위수까지만 전파해보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "RQbmKjKRDRoL" + }, + "outputs": [], + "source": [ + "percentile_closest = 75\n", + "\n", + "X_cluster_dist = X_digits_dist[np.arange(len(X_train)), kmeans.labels_]\n", + "for i in range(k):\n", + " in_cluster = (kmeans.labels_ == i)\n", + " cluster_dist = X_cluster_dist[in_cluster]\n", + " cutoff_distance = np.percentile(cluster_dist, percentile_closest)\n", + " above_cutoff = (X_cluster_dist > cutoff_distance)\n", + " X_cluster_dist[in_cluster & above_cutoff] = -1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "m5f5QHC8DRoL" + }, + "outputs": [], + "source": [ + "partially_propagated = (X_cluster_dist != -1)\n", + "X_train_partially_propagated = X_train[partially_propagated]\n", + "y_train_partially_propagated = y_train_propagated[partially_propagated]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "vTrW_uZpDRoM", + "outputId": "571e9bad-a3bb-4a24-d6f4-1b42b0ff4a71" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", + "log_reg.fit(X_train_partially_propagated, y_train_partially_propagated)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "5kdGrnnODRoM", + "outputId": "1973907e-3683-45c4-8dd9-21f01bc54676" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.15777777777777777" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_reg.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "W1Pc0p0lDRoM" + }, + "source": [ + "조금 더 낫네요. 레이블된 샘플 50개(클래스당 평균 5개 샘플!)만 가지고 92.7% 성능을 달성했습니다. 레이블된 전체 숫자 데이터셋에서 훈련한 로지스틱 회귀의 성능(96.9%)과 매우 비슷합니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8equ0b6YDRoM" + }, + "source": [ + "이는 전파된 레이블이 실제로 매우 좋기 때문입니다. 이 정확도는 96%에 가깝습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "970Xsy47DRoM", + "outputId": "fe25ae73-8847-48b9-bd71-ef813e162928" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.19541375872382852" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean(y_train_partially_propagated == y_train[partially_propagated])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "aOAeuL-nDRoM" + }, + "source": [ + "*능동 학습*을 여러 번 반복할 수 있습니다:\n", + "1. 분류기의 확신이 부족한 샘플에 수동으로 레이블을 부여합니다. 가능하면 다른 클러스터에서 샘플을 선택합니다.\n", + "2. 추가된 레이블을 사용해 새로운 모델을 훈련합니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8aH83lIbDRoM" + }, + "source": [ + "## DBSCAN" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "0k6sAJXxDRoM" + }, + "outputs": [], + "source": [ + "from sklearn.datasets import make_moons" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SRht0NLLDRoN" + }, + "outputs": [], + "source": [ + "X, y = make_moons(n_samples=1000, noise=0.05, random_state=42)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "s4S955nPDRoN" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import DBSCAN" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "J6cJAhw1DRoN", + "outputId": "6c7bf999-795c-4b1a-874f-61724bf05a0c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DBSCAN(eps=0.05)" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dbscan = DBSCAN(eps=0.05, min_samples=5)\n", + "dbscan.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "3v717Tc7DRoN", + "outputId": "381637ab-3a97-47bc-ccd5-1f3af6f2c9b1" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 2, -1, -1, 1, 0, 0, 0, 2, 5])" + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dbscan.labels_[:10]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rhatMyCSDRoN", + "outputId": "25750a8b-24db-41f8-9da5-2d3801dba519" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "808" + ] + }, + "execution_count": 115, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(dbscan.core_sample_indices_)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "hXJ_wwHvDRoN", + "outputId": "4861e9af-903e-4dc8-f024-1cd31fd50ced" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 4, 5, 6, 7, 8, 10, 11, 12, 13])" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dbscan.core_sample_indices_[:10]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "D5cJGTCvDRoN", + "outputId": "ffa1e275-be38-4584-8b07-cf1f98ad703a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.02137124, 0.40618608],\n", + " [-0.84192557, 0.53058695],\n", + " [ 0.58930337, -0.32137599]])" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dbscan.components_[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "TEq332hQDRoN", + "outputId": "1270c951-cf3e-40e1-ef3f-5410a677ab5d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1, 0, 1, 2, 3, 4, 5, 6])" + ] + }, + "execution_count": 118, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.unique(dbscan.labels_)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "kBVqOVYCDRoN", + "outputId": "bc7d1bf4-0881-4f81-b267-1e7cbce52084" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DBSCAN(eps=0.2)" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dbscan2 = DBSCAN(eps=0.2)\n", + "dbscan2.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "RLOprVMpDRoO" + }, + "outputs": [], + "source": [ + "def plot_dbscan(dbscan, X, size, show_xlabels=True, show_ylabels=True):\n", + " core_mask = np.zeros_like(dbscan.labels_, dtype=bool)\n", + " core_mask[dbscan.core_sample_indices_] = True\n", + " anomalies_mask = dbscan.labels_ == -1\n", + " non_core_mask = ~(core_mask | anomalies_mask)\n", + "\n", + " cores = dbscan.components_\n", + " anomalies = X[anomalies_mask]\n", + " non_cores = X[non_core_mask]\n", + " \n", + " plt.scatter(cores[:, 0], cores[:, 1],\n", + " c=dbscan.labels_[core_mask], marker='o', s=size, cmap=\"Paired\")\n", + " plt.scatter(cores[:, 0], cores[:, 1], marker='*', s=20, c=dbscan.labels_[core_mask])\n", + " plt.scatter(anomalies[:, 0], anomalies[:, 1],\n", + " c=\"r\", marker=\"x\", s=100)\n", + " plt.scatter(non_cores[:, 0], non_cores[:, 1], c=dbscan.labels_[non_core_mask], marker=\".\")\n", + " if show_xlabels:\n", + " plt.xlabel(\"$x_1$\", fontsize=14)\n", + " else:\n", + " plt.tick_params(labelbottom=False)\n", + " if show_ylabels:\n", + " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", + " else:\n", + " plt.tick_params(labelleft=False)\n", + " plt.title(\"eps={:.2f}, min_samples={}\".format(dbscan.eps, dbscan.min_samples), fontsize=14)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "q3gV9aeLDRoO", + "outputId": "7a045e7e-8421-47f7-84dd-f287ac98265f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: dbscan_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 3.2))\n", + "\n", + "plt.subplot(121)\n", + "plot_dbscan(dbscan, X, size=100)\n", + "\n", + "plt.subplot(122)\n", + "plot_dbscan(dbscan2, X, size=600, show_ylabels=False)\n", + "\n", + "save_fig(\"dbscan_plot\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "4kLWvBiFDRoO" + }, + "outputs": [], + "source": [ + "dbscan = dbscan2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Z3FLIQ32DRoO" + }, + "outputs": [], + "source": [ + "from sklearn.neighbors import KNeighborsClassifier" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "S2rYq_U5DRoP", + "outputId": "48766f09-fe8d-4cf8-ad06-72073d50a72d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "KNeighborsClassifier(n_neighbors=50)" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "knn = KNeighborsClassifier(n_neighbors=50)\n", + "knn.fit(dbscan.components_, dbscan.labels_[dbscan.core_sample_indices_])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "aMFOsu_HDRoP", + "outputId": "4e5e34f0-f5b6-49ea-cd17-c50b541e5a4a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 0, 1, 0])" + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_new = np.array([[-0.5, 0], [0, 0.5], [1, -0.1], [2, 1]])\n", + "knn.predict(X_new)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DMQcUe6YDRoP", + "outputId": "cec2036b-285a-4dfd-80e0-e1da13cfebf8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.18, 0.82],\n", + " [1. , 0. ],\n", + " [0.12, 0.88],\n", + " [1. , 0. ]])" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "knn.predict_proba(X_new)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "z1ar9sjdDRoP", + "outputId": "acb21021-e4e3-4d68-aebc-ac0e35d4e283" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: cluster_classification_plot\n" + ] + }, + { + "data": { + "image/png": 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5JIcliU20gnIBdg8PpWhU0oNaTKmsIVWPbeXKlfTt25e8vDxKS0uD2mloYpNwccFQ71knKlbF1Ldv36C29ACpqamkpqbq71M9dIyvW1ZK0zToUkcuw/rgiLR8kE4H1zQE5fLLyckJqgzSr18/+vcPVOW2fv/0d6wu6enpxHWK56UPCp0WJarRpY5cSqg27Gohpd26Fztaqyvv888/56mnnmL//v1AYFX/zp076dixo7FP27Ztyc3NZdiwYcTHxzslqquwWlp33HEH27ZtY+vWrWzdujWoG7BCLznQtDRaQTmMddBb07/VTNecIGEuFtqaZrSvv/46c+fOxefzUZ/lX1NTE/R65syZzJw503gthOC8885j7NixDBs2rFnkdQt23xPrhCY9PZ1t27Zx+umn89lnnwV1A1altKqrq3UvKU2LohWUw1hnsom1nVTVA8Wc9mudvYZrThcrrFixgjlz5nD06NGg7QmnJHFOv970uWggw66+jE4nnRj2OF/v/4K7x9zEl/v2E39CPN99c5AdO3Zw5513Bu0nhKBXr1489dRTtImR8jX1WT7meOegQYN44oknjO7K6vMqgUL3ktK0JFpBtQANbeqnFE9FRYXR10c9MCoqKli4cGFQW/FYo6KigtGjR1NRUWFsa9e+PTfffxeXXnNFo475gy6dWbTxlTrbP9j6Lq8sepb/vvs+5V98Tc3hw7z33nt4PB7i4uLo06cP06dP54wzzmjk1ThPfYutzVXRt23bZqybUxMllUDRs2fPiF3OGk1ToBVUMxFprTu7/RXmpoLx8fHEx8cHtWfPzs6OmTVOa9asYeHChXz22WccO3YMgLbt2tGj97n8ZcXiZjvvOf3O565HHwza9vHO3fx+zM0crPyGoqIirrzySiBw7yZPntxssjQX9cUn7RSY+XubkpJCaWkpAwcOZMOGDToOpWkxtIJqQkIpJbtWCaGSIwBD8WRmZvLKK6+we/duMjMzSUhICGrPHu2JER999BETJkygqqoqaPuZPXsw79Vnad+hgyNyde/Vkxd2/AeAo0ePUvDXp3gh/zGWLFnCkiVL6Nq1KwUFBUGJGNGM1a1s7uqr1kJ5PB78fr9hycfCpEjjfrSCakKUkjG3PFAD31puqL7kCLVfUlISXq+XDRs2MG7cuJiJNf3sZz8zYh9t27Zh/B9yuWLCNc4KZUPbtm25dmoOI28YzfRfTqTsv59QVlZGRkYGHTp04JFHHqFv375Oi9kgrP3DrBMk8yLvWbNmUVBQQElJCYsWLTJay2tg48aNAHT9yY8dliR20QqqCTEnNJg7nYZyoZh/21lDPp8Pv98fM5lT+/fvZ+LEiXz55ZcAxHWK5/kd/6F9+/YOS1Y/JyUl8Ld1gd5KlRU+bh3+K3xflxt9l6ZOncr111/vpIgRY056UAonVDsPVfbI6/WGXQTe2jJKAQ4cOADApLw7HJYkdomNNCWXoJRMdnZ20BoStT3UwPX5fEblaTPqQRIfHx/Vg/6bb75hyJAhZGVl8eWXXyKE4Fe/ncBLHxQ2m3K6e/RZ3D36rGY5dkJSIku3rmXVp8X0G3IhAPPmzSM9PZ3bb7+9Wc7ZlGRlZZGTkxM08VHfURVjWrlypbF/ZmYmHo+H008/nYKCAnw+X53vrLLAzJ8L9b3WaCJFW1DNQKiyMuZeOxUVFSxdupS///3vdO7cmW3btgGR1U+LJq688kr27dsHwAknn8yz29fSrl3sfO1mPfswADOu/y3bNxaxYcMG0tPTefnll12b+ZeYmBjSVWz+zpmrmni93qCEHeUlUEsc7L6remGv5niJnSeFi7HrtePxeICA22v//v1GHTSreyVaB/ahQ4e46KKLOHbsGO3atuWBl54gNf18p8VqNmY/+wgAD0y8naJ/v8GVV15J//79jWrX0YJdBfSuXbsyatQo9u3bR69evcjKyjJiWHafU8TCBEvjLNrFd5xE4sbIzMw0mgZmZWUxefJkpk+fztixY+nSpQsAaWlprFmzhgULFtQZ/NHGV199RUZGBseOHePMs37My594Y1o5mfn9E39hYe16q+LiYoYOHVpv1Qu3kpWVRUpKCmVlZWzfvp2tW7eSlJREYmKi4cYeMWJEyO+/OTtQu/k0jcFRBSWESBZCvCyE+E4IUSqEuDbEfnlCiBohxEHTT/eWltcOO9+7GZ/PR35+Pps2bWLDhg1AIIlizZo13HDDDfz1r38lIyMjaOV+dXV11Pru//znP/Pzn/8cgFv/7w88su7vjspTWV7B8seWUFleEfR3c9Kl2xms+rSYE048mYMHD3LhhRc26/mai8TERPLz88nIyCAvL882rmoXs4LvJ24FBQVhx0c0s2TJEgDiTzrBYUncQ1OPMaddfI8Ah4HOQB/gVSFEiZRyp82+BVJK16VJZWVlGd1HS0tL63S+VSnmah2JqhIBGIVLVQq6Wv9kV9YoGvj5z3/OV199BcCCf7/Ij89pfJJCZXkF65atYvjokSQkJzX6OOuWreLpOfON1+rvq25u/v/ri7v+ww0XXEr5F19zwQUXsH79ek46Kbr6BoVqJw/hs0zVxM3j8cRMFqqV//3vfwB069nDYUman0jGY2V5BfNy89iyPlDZvSnGmGMKSghxAnA1cJ6U8iBQKIRYCYwF7nJKroZi7T6q2haobrYVFRVGmZhFixYZ2VNQN+08mrvg3nrrrXz11Ve0adOGFXvfOe7jmRVLuC96qEy994oCiuBIzUxOPfNW3n7tFAB+dPotrHr6GP6qh7h8fPZxKb9IeOad17jjihv5YOu7/PSnP+Wvf/1r1FpUVlSWaUZGBpWVlUZB2bi4OEaMGGEs8h04cGBUZ6GG4pxzzuG9997jv+++z0/OP9dpcZqVSMbjumWr2LK+kPRhgxk+emSTnNdJC+ps4IiU8kPTthIgM8T+I4UQ5cD/gIellI/a7SSEmARMAjj11FObUNzQmNeQqBpmPp+PmTNnGgorLS3NcJFYB6vVSoq25Ii8vDyKiooA+PtHbzXJMdUX/Hi/6O3at+MHXTobr9u0bcuXn/2PF+ctIr5TpxaxpP70ytMUb3yLvOtv47bbbsPr9cZEIdqsrCyKiorYtGkTNTU1RpYfBLwDqqFmNE20GsKoUaN47733qDlcU//OUYbVYrKORzuLyrxPU038nFRQJwLfWLZVAnY+kGXA48AXwADgH0IIn5TyBeuOUsrHa/clNTW12aLT1oWJSqGYM6CUay8tLc1YsR9r7Nmzh9WrVwPw8sebmyyFPCE5KSLl8cdlHwW9VgPnSM1M2rVvZ/v+q4uXIclpslleJPQfMogeaansKdmFx+NhypQpjB07tsXO39z07NmTtLQ0w4KKVaXUWrBaTNbxaGdRRTpmG4KTCuogcLJl28nAt9YdpZS7TC/fEkLMB34J1FFQLUV9azxUbAqIWeX0+uuvc9ddAW/s5AfvdcX6JjVwTj3z1iDLSZGQnMS1uc6Ui5q3aimvL1vJ/N/NYv78+WzdupWHHnrIEVmagoKCArxeLx6PhxtuuKHOd1ylqUN0xVJbC+HiSvVZTE3l4agPJ58oHwLthBBnSSnVNDcNsEuQsCIB0WyS1UO44LB1Ua5KiIikhl40lYupqakxlNMTm1bR+YwuDksUQA0YFXMy01SJF8fDz0Zn0f28nkwZcS1vvvkmu3btIjU11RFZmoq0tDQSExODGhuqOJRKIPL5fK7/Trc2wsWV6rOYmsNassMxBSWl/E4IsRy4TwgxkUAW3yhgkHVfIcQoYCPgAy4AJgP3tJiwFsz9c8yDzhp3UlRWVjJlyhRyc3NJSUmxrSwRaVsOt6Aqsw+9+jJXKKfK8gpWLy5AILhs/GjeWV/3q20dZE4prO6pPXn8zRVMumgU48aNi9qYlLXdi7nGH3zfImbBggVBRWajaSIWjkcfDYTBT05OdFaQRhKJFaTGiOfiIbb7NvcYcton8xvgKeBL4ABwi5RypxDiIuBfUkrVJnVM7X4dgTJgrpTyGScEhtAr5FVKubmoZnx8PEVFRUYAef78+baVJcId123ccsstHD58mI4d2nH7Q/c5LQ4QUD4vzvv+4fj1/hQSfxhsRVkHZKSZgs3BaSldObtvLz7cthOPx8PmzZtp27Zti8pwPNgpmczMTF5++WX27duHx+OxLY4MsVMCKTExkfLycg5X+50WpVHYWUFmhbRxxWu8v6WE7YWbgcC4sSqj5h5DjiooKWU5cIXN9jcJJFGo167qwxAqy87aMgMCAzAzM5P8/Hxyc3Pr7Gf+bDRk70kpeeedQBp5we6mydiLhPpmasNHj8RfVYVAIJF8/mlZnc+/ungZ1X4/ry5exmXjR7eYHz0Uf1mxhN9dMZ7dW3dw4YUXBmXBuR2lZIqLi5k1axYA+fn57Nu3j4yMDGbNmhU0BsxEy0SsPq655hoeeOABqqsOOS1Kk6EUztqCFZTt2QtAn8ED8FdV8eriZbww73Hge2XU3GPIaQsqKiktLTUUTkpKirE9lIIxL3a028/tSsmMqhKReeXPW3TGX99MLSE5icvHZ5vcEc8jEJTtuRTv2o1UV/mNwQWBVh9X3TyuxS0nK39+ZTE3nJdJ+TcHefbZZ6OmZYe5maGqEqG8B2blZGdpRcNErLUyfPRIdhQVs2V9Iad1O4N+mRdStqeUF+ctYszUHG68Z0qQMmruWJRWUI1g7ty5eL1eampq+Nvf/ua0OC3GSy+9xNdff02bNoLfzb+/Rc9d30ytsryCP9/6e7YXbqa6yk98p048PWc+H727iy3rCxkzNYdrpk6i2u8nLj7eMavJjgUbX+H6Pj9j3rx5dOrUiauuusppkepFNTNcuXIlmZmZrFmzhpycHEaMGBGkkFTlFFX1PJaoqGjeklktwffLLqSxcH1qfp5REeKL7imUFG6ma49uZI4aQdce3ep8PpZjUFFJz549DQXVWrKTpJTMnTsXgBd3bnRYmrqsW7bK8JVLpKGAUj19AOoMLlUzzMmMPkVCchLPbFnDDekjmDNnDsuXL+fZZ591VKZwmK2icePGsWTJEiNpaM2aNTGrkKw8+eSTAHTpfqbDkjQOa2ki88L1n5x/Lmedn8qQUZcCsGV9Id61GzkpKSFIIbkiBiWE+CXwHHC2lLK0dtt84HJgkJTyiyaXzMXccMMNfPzxx4Z7Q5UnioXMpFBcd911APQe2J/4Ezq1+PnrGwjmGNRl40cbrofljy1hy/pCeg/sH6SgnEyQsCP5Rz9kxd53GNXtAj744AOOHj3q2qQJa5KDWvNXUVHBe++9F7SvNdMvljh69CgACVGaxadKE6UNHsC56eczfPTIIKV14z1T6NqjG1Pz8wylZB03dp6NprSqIrWg/kGgPt4fgBwhxO+Aa4CM1qacoK57Y8mSJUYDN4iumFIkHDhwgA8/DFSkmrPs8Xr2bh7qc/ElJCdxXe7NIRcUei4eEmQxOZ0gYUebNm2YcG8uT96Xz9ChQ3nzzTedFskWa5KDqkepvv8ZGRlkZ2cb71nHg3UyF+uTO7diV5pITejM9fTMcSbruLGLQTXl5C+ixRcy0NDmHmC8EOIu4F7gMinlR0KIM4QQbwghdgkh3hVC/Oq4JIoCzANKtRsAmDx5sqGwVKuMWGh7fdlllwEw6b47HJNBDYT6ZmRqcMzLzaOyvML4nHftRp6eM591y1Y16HgtzRUTr6Njh3ZBEx63YW1q6PP5gtrIm5MkAHbs2MHVV1/Njh07gLotauprWeNWjhw54rQIx4XdGBg+eiQ33jOFCTOmsW7ZqjptMyIZN+oYTTH5izgGJaX8txDiHeB+YKSUUpWsPgJMlVJuF0KcChQLIf4ppfzuuKVzmFAzO7OLIzMzk+LiYgYNGsS2bdsMH7xKv1X7+v1+w9URTbPEhx56iCNHjtC2XVtGjh/jtDj1Ys5CWrdsVYulwzYlL7xfyFU9BrJw4UKj8r0bsbr6QsWc8vLyKC0tZdq0afz973+vY4FFe9q5/7sqR9zezYHZNf70nPlUV/mJ6xRPqqcPBQueZMKMaXUSJUIdoymIWEEJIYYRKEUkCBRtBUBK+T8CFcaRUn4uhPgaSAaiXkFZB6BSWH379qVfv368+eabVFRUGJUjNm3aRE5ODhkZGUZ8Simw6urqqHMBHjt2jOeeew6AZ7e97rA0kaGykJSbz7zdDbGmSGjfvj0/6NKZr/d/wdq1a7n44oudFsmWSBVLXl4e06ZNM8bPuHHjgsZAtKadt2nThmPHjtExPs5pURpFJLX4/FVVPD1nPl17dDPWRc1cPN96qGYj0iSJNOBl4DbgMuCPwKU2+/UH2kop9zWlkE5hHYBKYWVkZLB161Yg8DBRrj3VakPtq8oXbdq0idTU1KCOpNHAE088AcCIsVdzYoK1rq87MZc8sm53ug5fQ5j36nNc3/dn3H333a5VUJHElwDOOOMMfvWrgOc/mr7/4ZBScuzYMYCoLFMF9rEi8zi56uZxlO3Zy3/ffZ/Lx49m9eJlTJgxrUVlrFdBCSFSgH8Bf5FSPiWE8ALvCiGGSinfMO2XDCwB3OuTaCDWAWju+9S9e3d2797N9OnTjcW6dotv7apLRAtKQd14zxSHJYkcc8kjtRi3OTp9NjcJpyTR56IBbH9zM8OGDWP9+vVOixQRZq+DmqCpeJqqXRlqoXs0odyZl1x7pcOSNB47t7dVaXnXbjSyYFvSclKIQP5DiDcDSmcTsFFKeZNpewFwppTywtrXHYG1wCIp5dLmFTlyUlNT5dKlLSdOLGUjvfXWW0yePJkOHdvzj4+KnBYnJOYZH2CUM4qLjzfSzZU/PX3YYKbm50WFBaUYeWZ/gKgpKGseA0pZ5eTkBMVfp0yZYlSdMFdYCXcst42n9PR0AFaWbkEIxxorNCnWgssJyUm2C3mbg5Fn9i+WUqZbt4f9xkspy6WU55qVU+32bJNyEsBiYL2blFNjiCTjzufzMX/+fH7zm99QWloa9J45Gynas/emTAlYTU971zgsSXjUjG/dslVGrbC4+Hij59Pyx5aQck4PuvboRvbkCVGlnACuu/1mAC6//HKHJYkM5XVITEwkKyuLyZMnM2jQIIqLi6msrAQgNzeXjIwMcnNzw44Tt2b3Kdde4g+To0Y5qYXp1qw883uvLl7Gi/MWEdcpHgiMHQh4Il6ct8jIgI3k2OHO1xCaYkqWAWQDVwghttf+9G6C47Y4kQyIlStXsnTpUrxeL/n5+UHvqQFpnj26bXBFQlFREVJKTuoUx8lJiU6LExZzSqsk4A1Qv1cvLuDpOfNZeO+fKNuzl4IFTzopaqMYMyXgMf/yyy/5/PPPHZamYShl9cQTT7Bp0yZjvKjalCkpKWHHiXk8uYmDBw8CgbYp0YJ5IhfqPYk0xpJ5uYbn4iFh08btjh3ufA3huEsdSSkLaRpF5ziRZCVlZWVRUVHB7t27jRmguUmb6p4bzamzqjr1/P8sd1iS+jFn510+Ppv4Tp2MgaQSJXp5+tK2bVsuHz/aNeWNGsLUP89k3u9mcfnll/POO+9Ezaxdoar4q99mwo0Tt2b3TZ48GYAR11/tsCSRE26Zhd2CXfNyjd4D+9u22gh37KZa1hE2BhXtNGUMys4fbteg0FrNORoZOnQoBw8e5E8rFnNOX3caw3ZZedZt6rXvQDkvL1xKrwH92Ll5K2Om5nBd7s0OX0HDuOtXE9m5eRuJiYm8/np0pPwrfD4fzzzzTJ2kIus+bo03WbnggguQUrLq02KnRWlWyvbs5cnZDzFhxjRjofuN90xpliSjRsWgNN9jdUWYlZPH42Hs2LF4PJ6g9gPRSjSskLe6EFSmnl21iLj4gE9d2R2H/YeaxD/ekvzfS4GMSp/PZ7iYogWrW9wu7hQtLvGamhqklLRpE11WbCgqyyt4Pn8hz+U/RmV5RVDsSGXwbVixhuoqP2Om5rT4QnddzTxC7NZEWfvfWFu5RyvV1dUArrWeIOA6qK7y46+qMiwlaw0xxWXjRwNQ7fdz3oWBrDg3FYqNlNyH7iN/2r1ccsklvPVWyzWLPF6UW3znzp10797daMEBwcsxVMHZhQsXGq5yt6HigAMuGeqsIE3EumWrgvqkqTY18L17TvVSu/GeKS3uGtcKKkJCrYkK55KIJreF4qOPPgIg+dQfOSxJeBKSk4jrFM/Tc+YHxZ1CufziOsUbg2z46JFBn4kWfnr1Zcy7fSaHDx/m0KFDdOzY0WmR6hDqO5+UlET//v1ZtGiRUbNPKaMRI0awYcMGAJRLPj4+3pXxp3vvvReAjF8Md1iSpmH46JFs3VhESeFmBMKY+PkOlLN6cQGXj8829lWTwZZUUlpBNRKlsJS7wpy5B4GZofV1NFBTUwNAXBSUb7EqJbM1ZF2cG27faOK2B2cw/3f3MWTIEDZv3uy0OHWw+86b10OZs1yVFbVr1y6jTJiqPehWL8SuXbsAyLzi5w5L0jQkJCdxx8MPBMVu1WQOMNZEqcaf5p5RLYFWUA3AbnZoXTkf7nc0cO655wLw1WfuTmmur3TR6sUFbFlfSK8B/fBXVfFtRWXIY3guHoJ37caoyO772ehRPDz9AY4ePcrOnTvp1auX0yIFYfed79u3LykpKQwaNIjevQNu48zMTIqKikhJSSEuLo7U1FTXuvUUubm5HD16lI5x7p+8hcM6dqwTtuGjR7JtYxHbCzcjkYb7vGuPbnguHtKisuokiQZgF8hVg69v375BixSBOq+jATUr7zNkgMOShKe+dRYqxbxd+/a8OG8RT85+KORaDbv33MxD/woU8P31r3/tsCR1sX7nfT6fUc1clc4C2LBhA16vl/3797N06VLi4+NdPU4qKyvZuDHQSfql3YUOS3N8vLp4GU/Pmc+ri5fZvp+QnMTvHn6AG++ZwuXjsxk+eiTpwwZTtmcv3rUt201bW1ARoCynzMxMIHh2+MQTTxiDL1zZlmhBdQkd/kt3Vy6ob53FZeNHE9cp3rCOUj19qP6uCu+6jXguHkLXHt2Cmhn2Htgfz8VDeD5/YbOXdTlefnzOWbTv2JGaQ4fYunUr/fr1c1qkkKxcuZLS0lK6du1Kly5djAQIc11Lc5Flt3LJJZcAMOPJ/Khbh2bFuqDdDrNVVVlewVnnp/KT88/VWXxuRFlOqseTueCl6hxqtwgxGomWwVdfHMn8ftce3Xgu/zHe2xyoQP/k7IeYmp9n1Bg7KSnB6IGjfO8t7WtvKAvfWM6vL7yMm2++Ga/X67Q4IVGKx9yAUSVAqBiVOZabmZnJmjWB8lpucfl9+umnHD16lBPjO+K5ONNpcY4b64J2K1bXt7+qihfnLdJZfG4lKyuL4uJiY43TuHHjyM/PNxbomi0nVVkC3DPANN+7/E7rdobRLdSqjFQGk0S6PsPvh6efyklJCXxbUcnw4cNZt26d0yIBobP4Bg0aRElJCT179rS1lsyTQDWu3JDJJ6XkqquuAuCBVxY7KktTYZdQpGJS31ZU8sDE2ynbs5e1BSso27OXa6ZOarIOuQ1FK6gQWAea6o6rBtfEiRMpKytj4sSJQZ8zZye5YYA1lFNOOQUIWBkZv/iZw9I0HcrlZ17bceVNY+kYH2dsS0hOMorMRgPPl6zniu4eKisrmT9/vlHgtyWxjpNQmawZGRl4vV4GDhxoO2kzu/xSU1ODtjmJipv1uqAv3c8922Fpmg6zUjK32NhRVEzZnr0kJCdRtmcv6cMGG5XNnUArqBBYB5p1HdS2bduM2JOqXae67Xo8npAzRbfTs2egAKbvqwMOS9K0mGeNypVnLtsSbQ0NFQW7NvLLszNYunQpkyZNIr62akZLYR0nqoO0NV5bX6wpMTGRzMxM1/WJWrhwIQD3Pf+Iw5I0LWalZI7nqiy97MkT2OXd7vh40AqqFutMsL4U8czMTFasWBFU2iiSmaLb+eSTTwDodNKJDkvSPFSWV+CvquKaqZOMgVm2Z6/h1oDoqi7RMS6OnFnTWTRzLhdddFGL942yjpMNGzawadMm+vfvX2diF8qboMZeUVGREU9zQ8LRxx9/DATaTXRw4aLoSAhVs9I8BsyTt4TkJKMx4WndznB80tbq08xVcLagoCAohby+FPE1a9ZQWlqKx+MhKyuLzMxMMjIymDhxoitbBIRj0qSzmTQp4L5o1y4wZzlSu2A31li9uIAX5y1CIo1B9+Tshyjbs5fTup1BdZWfyvIKyvbsZdb4KYbSstJU/W6agqwbR9Nv6IUAeDweDh061GLnto6TxrTIUFZYz549jT5RbmDMmDEAPPTP5xyWpPGEaoWh+j6posp23+WmaplxPLR6C8pulXtDSEtLIzExkYKCAjZt2kRqaqrRDjoaOeOMMwA4XH3YYUkaT7hK54f8gTqDgu+zFSfMmEbN4RqO1tQEGh52ijdaDQC2ra6trbGdZtaSh3n47jm89tw/yMjIYPPmzbRt27bF5QjVIsOaPAQYHgtVhw8C2bAbNmxwvDzYoEGDOHbsGMmdf0TX7u5wNzaGcK0wPBcPYfljS4wsPSDI5e07UE6fwQNafHGumVavoCKpqWdHdna20cZa4y7slIfads3USYyZGiino+qKde3RjX5DBhpt4c2++Akzptmeo6n63TQlt/7xHsq/+IJ3Xi9k4MCBbN682TVt4q3JQ0BQ7Co+Pp4FCxYYZY/UdicYMGAAR48eJTH5Bzzzzr8ckaGpSEhOCurlBNRJjrBm6VnLhHnXbqRrj26OyN/qFVRjmqLZpdJqheUe6mugpgbmR+/uMnrdKIWk9vOu3cjU/LyQvne31vO796n5TL3sevbseB+Px8O///1vkpOTnRYryEoyjxFrDEtl8fn9fnw+X4taUVJKPB4PUkpO63Ymj298ucXO3ZyYJ2yAbXKE+Xv+6uJlRpmw3hf2d3QS5qiCEkIkA08ClwBfA3dLKZ+32U8A/weonO4ngLukA90WrU0KlXJza/fP1oid8lDbVIA4bfAAY4aofpuz/MK579ye8Tfv1Wd5YNIdFK1ZzyWXXEJKSgr/+Mc/WlwO60ROub7tJnjm8aOsqZZepnHHHXcgpaTbuWfx19debLHzNgfm7+jw0SPxV1VRXeVnyKhLgfBFk1WFid4X9ne8safTFtQjwGGgM9AHeFUIUSKl3GnZbxJwBZAGSGAt8AnwWItJWovqA5WSkmKk0mqiBxUgHjM1h35DBhpljsL56K2KyG3xJzt+//if+PKz/UwafCWlpaVcd911PPdcywb7Vd8nv98fFJetr8q/E0WW58+fzxtvvBH4+1915siuo75JkvU7qvo8xXWKr/c7W1+liZbEMQUlhDgBuBo4T0p5ECgUQqwExgJ3WXa/AfiLlLKs9rN/AXJoJgUVajW8z+fD7/fTt29ftm3bxpo1a8jOzo6ank8qU8/K1q0nWd7/D0dqBHePPguAPy77qCXEaxHs3BpW/7qaWYaypNwYf7LjR6d34ZVPNjPyzP7s3r2bW2+9lYcffrjF5SgpKQly19WngFraG/H73/+e1157DYCHX3/JNXG7cCgFtKOoOMgVbS5TBHW/q+G+s2al55aJl5N34mzgiJTyQ9O2EsCuf0Cv2vfq2w8hxCQhxBYhxJaKisalAIdqP60Cve3bt6+zb0FBQZ021hr3oZRPKNecOeV2+OiRdUq8uN29Z8fy/74NQFFRERdeeKHR86u5yc7ONtYFmseSm6r8X3XVVYZyKti1kZSzuzssUWSoCuNb1hcaaeAqueHpOfONuOq83DyjMoSKv4ZaGuGGtHIrTrr4TgS+sWyrBE4KsW+lZb8ThRDCGoeSUj4OPA6QmpraqBiVdTW8tZp5ZmamkQqr8Pv9rm9O+PjjH9puV5aTej89/ae0a9+BPy57u8VkcwtW10i4JohumWXWR/sOHVj1aTETB4/ki0/389Of/pQNGzY0exq6XYkwt7Bv3z6uvvpqjh07Rtt2bXh5jzdqCiVDYKI1NT+vTnbelvWFRiaq+q4eOVzDuelp7NqynZLCwEJoc2afmmi50TPgpII6CJxs2XYy8G0E+54MHGyuJAnrang7n7lZCalqzDqLL3oIZQmZB2lleYVR8fzy8dl1HgANOa4beKJwFdnnZlD1XTUDBgzguuuuY9o0+zT6piKcu848MQrlVm8OysrKuPLKKwGiOiHCrtGg+p2QnGQskTjjrB8bhZHVd9cujurGzFQnFdSHQDshxFlSShXkSAOsCRLUbksDvPXs1yTYpb6aLSpN9BMq0cHsCqmu8gdVPLc+AOyUkdsTKAre38S6ZauY97s8nnvuOV5++WWjEZ+T1Jc40VTcddddvP766wBkT5nE9bdH76J6K1YF07VHN6bm57F6cQFX3TSODvEduXx8YJF0dZWfMVNzQiYCuQXHFJSU8jshxHLgPiHERAJZfKOAQTa7LwFyhRD/JJDFdzvw1+aSzTrrs1pUdrTUANM0DVZ3hlnZqHJIV940lmumTqLa76e6KrCGx/wAsFNGbnSTWFGpx2NTL8J3sIr09HQWLVpE3759m/xckVpGzZ2599FHH3H99dcbDTn/vHIJPfvYhrGjEqu1ryZQys2nYqnmidc1Uyfx5OyHXO2ydjrN/DfAU8CXwAHgFinlTiHERcC/pJSqYulCoDuwo/b1E7XbWoRIBo8TqbGaxmOdbZqVjSqD9PHOD7ly0nU8NHUmleUVdVJ07ZSRG90koVi6601mjZ/ClvWF5OTkcPnll5OXl9ek54h04tZcmXtHjx5l9OjRlJaWAnB69xQee2N5k5/HaV5dvKyOta+Uk9WtN2ZqDjfeMwV/VZXxvlstKUcVlJSynMD6Juv2NwkkRqjXEriz9qfFiWTwxNpC3WPHjjotQotiVTYfvbuLLesL2bvrQ6Mkkp21FS3KKBQzF8/ny/2fM2HgZaxevZpXX32V1atX07lz5yY5vqog4URliDlz5rB8eUAZtW3blifeWsUPTmua63IbKjPvnH7nG8pIKR+Vhm7nolbKzK2uaactKI0LsMvuO3qkdSkoq+WTPXkCn5eWMWrSdbz86BL6DBlovOfWwdxYftTlVFZ9Wsy0kWP5b8kuLrvsMk4++WRefPFFfvSjHx3XsRMTE1u8MsTq1auDLMGJM3IZlXNds5+3JbDGPdXrT3fvATAqlJsXm5v3t8Zb3e6a1gpKY4uIgsWKoWiKTLqCBU9Stmcvm1/bwKXXXsXTc+bTuWsXozU8hB7Mbs7kC8dDq5ayZ+dupl/1a7755ht+8YtfIIRg9OjR3HHHHY0+7htv5HH66bfyxhs/oLDw+0dO3QXiwYRaFhGKwsJC7rzzTg4fDlTi75t5IfctbfmFyc2JdXKkXl9501jiTujE5eNHM2v8FCbMmBZ2sbkVt7qmtYLS2CKPHXNahEbTFBaOStFVv3cUFdfbdkApJrv2BdFCj149+fvuTRw5coTJI65h34cfU1BQQEFBAYMHD2bevHkNPma7du3o3PnUphcWeP/998nNzeWrr74ytp2UnMizW9dGRUWIhmKdHHkuHsKOomIuGXMFXXt0M2KKEHDfutUyihStoDQxR1MMyq49uhl9oJY/toQt6wvpPbA/XXt0C6kAQ7UviEbatWvH315/iSNHjjDrxils31BEYWEh6enp9OnTh7lz53LKKadEdKxIF4hHyvPPP8+CBQs4cuRI0PYR11/Fb+f8vkHHigasFrn5O+dduzHou6lc09mTJwB1221Ek0UPWkFpQtC+QwenRWg0Te2uMFeDViWQqqv8+KuqjAQKtZ/6HW0PglC0a9eO2UsfAeDRGQ/yz2cK2L59O5deGqiKfeKJJ5KRkcEdd9zRLAkQDz74IGvWrOHbb7/Fui6/Tdu2ZN82gWumTYqqKhANJZxHwDoZ2+XdTtmevezybuecfufX+3m3oxWURlNLqNhRQnJSnWrQcZ3ieXrOfOI7dXL1Svym5JbZd3LL7Dupqalh5rjb2Pn2Fg4ePMhrr71m1LNr06YN8fHx5Ofn079//0adZ+7cubz00kt1trfr0J62bdvyy1tvZMxtE20+GXuo9jDXTJ0UkUXuuXgI2zYW4TtQXif71Pr5aIiVagWl0dTSkJmq+p3q6cMfrr2Frt27cVJygrFIMpZp3749c174vpFAtd/P0w8s4N8vLOdIzRG+++47o71GmzZtGDx4MJMmTeLss88OGRf65z//yd/+9jc+//xzY9uJiQnc8/iD9B6Y3rwX5GJUe5gb75li+71S65+qq/xcNn40T85+iO2Fm9leuJnEU5KNwsh2E6dosKy0gtKEoMV7QTpOuNhVqBTdWeOnUFLoNYpwQmChr3lFf6wTFx/PLfdP55b7pxvbHpvxJ9a9tJLqqio2btwYopzSf4BAcWIzl90whptnNz5rMJaoz/qpru1SLJHG2qc+gwdwbnpavRZXNCRQaAWlCeLAgQNAwL/f2jB33Q21qt5aUmbCjGnUHD5sWFACEbSiXx0vnCslGlwtDeXm2XcYSubYsWPsfGcbL857go93vM8xeYyTEhM5WBlIM+/R20O/zIFcffMNTorsGOHuf6jvpLJ+eg3oR9pgD5mjRnBSUgIQeQw0GlzSWkFpgti9ezcA4+78rcOSOEc418e6ZavqKKD7n3/UeL9sz152bSmhe6+zg9oghHOlRIOr5Xho06YNvQf0p/cLoWJSj4bY3joIdf/Nisu6z/DRI9lRVGyklHvXbqzTHiYW0ApKY8sppx1fBYFoJpzrY/jokfgOlPPJzg9t10V5126kpHAzAlj+6BI6xHek/9BBRr2zhp5PE/uEuv9mpWTdR/WDUta8W2vpHS9aQWmC+OMf/wjAD7qc5rAkzhHO9ZGQnETiKclsL9yMd+1GuvboFjTTNc9stxduBqBw1VrK9uw11qo05Hya2CfUWiW1CNdz8RDbfRKSk7g2N5CMEmnFiGhDKyhNEOXl5QAx1YqgqTGv4l/+2JI6lSMmzJjGkcM1dOl+Jp99XEpJodfVFaM1zlFZXsHqxQW8v+VdSmonNErBmBfhnpSUYFQnr67yE9cpHs/FQ9i44jUkksxRI4DYs8K1gtJoGoiyeNSs1Vo5wrt2I9sLN3NuehoJyUmcm55mdOQ1u2xWLy5AILhs/GitsGKMSBNjqqv8xuTGOokxu/VUhl7aYA/vbylhe+HmoBiUeT1eLKEVlCaIQ4cOOS2Ca6jvIROqcoSqNLFry3ZKCr3GGhbrA0c9mKx9puzk0MosurBORkJ1Xh4zNYcxU3OMe2te13Rt7k11qo2rZoPpwwYzYcY0zjo/FYmMOctJoRWUpg7xJ57gtAiuoL7sulCxo4TkJOI6xdu69tTDynPxEPxVVRz2H6pTMslOjkiVmcYZrJMZ62QkVOdlz8VD8K7d+H2poi3bgcC6JjPmdPO4TvHGeVQMKlbRCkpThw4d2zstgis4nuw682f/8egzvLxwKb4D5SSekmw8rK7LvTkouK2ax1kVlaoFKBAxO1OOdpQSUvEhczPLcJ2X1f3fUVTMT84/l5JCL117dDNiSlZaW0JN7NWj12iaCPPDYPljS4yupQ35bEJyEh/vDFTr/njnhwwfPTIoXqVeCwRPz5nPumWrbI91Xe7NXJt7k3bvuRR1HyUy5H0EjAW36rs0fPRI0ocNZsv6QgSC9GGDKduzF+/ajXX2tb5WlO3Zy6zxUyjbs7dZr9EJtAWl0dTD8S6kvXn2nSyc8SA/7nV2nWPYuW7MxGKViWigof93831UljAElMcDE2+nbM9edhQVc9b5qbww73F2FBUbrdin5ucZ54JAfT1/VZURj4Lg5oTqteLJ2Q8F9YCKJbQFpTH4+OOPAWjTpvWVOQqH1eppKF17dKPvkIG8vHCpMbNWs+GyPXtZ/tgS/rd3HzuKivm2ojLos6sXF/D0nPmsXlwQtL1sz15mXPsbnnpgXtCMOtQsW9MwlDIIZQmFIiE5Cc/FQ5iXm0fZnr08OfshyvbsJSE5iS3rC5FIw2JavbiA5Y8tATCsbRW/fHHeIiTS1tq2fg8nzJhmJE3EGtqC0hisXr0agDv/NtdhSdxFU/j9rXEI9QDctrGI7YWbOa3bGfxv7z5qDh+m35ALjZn7YX8gq/Kw/1DQrP6xGQ9SYqlabT4uxNaCzZamIfHHD7a+y/zbZzHlLzM5p9/5QRaNUhrZkyewy7s96P5XV/lt71Wo7NBQ30Nzc81YQysojcHKlSsBOOMn3ZwVJAaxPlzUQ8h3oJzthZvpN+RCvuiewplndQ96aHWI7whAh/iOQcqne6+zKSnczDn9zqfyQAXP5T/G5eOzgx5uVjeVdhd+T33/C/P9qm/f+bfPomzPXu7/dS6PrH/JUEoTZkwLUh6qgSAQ0q0b6lyt9d5pBaUx8Pl8ACSc0noGgFOYYxaJpyQHKZGEU5KM1PT+Qwfx33ffN7K6dhQVk+rpw9Y33jbWz1iL15oTO8zKTltX39OQ/4Xdvmpt2mH/Ic5NT6OyvMKodB/XKd6IL4XDrlJ5KLla673TCkoDwIoVKwA4q+95DkvSugjVZ0opFxWv6D0wUAl8y/pCPi8to2zP3qB4hN1izVBNFiOZsR8Pbp7tK9lU4d5IXHh2/zfz2jSAK28aS+IpyfirqhqsSMIVhQ0nQ2tAKygN8L177/+WPe6wJBoIXsjZe2B/47Uqb9Nn8AD8VVV8W1EZtHDTjF3MorrKz+rFBUYzxUhm5g11Fbp5tm9VBq8uXka1309cfHyDqnSotWnvvV3Me5u30jE+zjaLL9Jjqd/hFn+77X/ZEmgFpQHg3XffBaBDx44OSxL7qOwuFaOww+z+MW9TKcmq5M1/333fCMhfdfO4sMc297KCwELhSGbmVoVTX/+ihlgnzYmdIrVWeDD/P0JV6VDX66+qAgIJKx3iO3L5+GyjxqK5DUaksStFa1U+kaAVlIaamhqklLRpo1cdtASh1q3YPdCsysC6bspqYdkd26w4tm4squ1XJSJ+gEbiKjTLqqopNCWNcRta/3fmmobfVlTir6riqpvGIZHExX+frGD+f3nXbjQUrpoUKKwxv/rOfzzX0lrRCkpDVe3M0HPJUGcFaSWYs7zMhKvZZn14qlI61vVOgRb0NXQ+owtPPzCfDvEdgxIp7nj4gZBdWhXWB2ioOJl1XyVjY+Iw9WGnbOp7yKuivb4D5TyfvxCJNOJGH727iy3rC0kfNthIaFDJCqp9irlauDpnZXkFxf95i/4/HWSbKWk9v/l3qGvRhEYrKA333nsvAOd5+jgrSCsh1LqVcDXbFPW527r26Ea/IQONbQBjpuZwzdRJ+A6U8+riZUasJVTSxJ9uvYeSQi/+qiquy7057LVYz9/YOEx9hFpHps4bCqWIAK6ZOsnIfOw39EI+Ly1jy/pCQ8GofktpgwcwZmoOmaNGBFmnCclJfFn2P77Y9xmffVwa5GqtT45w16IJjVZQGt5++20ARk28zmFJWjeRxCIicbepAL45VmKOt6hYi935Vi8uoKTQC2DrBrTGuCJRqg1BpWpLpJHIYXfMSGNnKqHk3PQ0hoy61Kgcvm7ZKsr27CV92GDj9Zb1hXTt0Y2Sws30GzKQrj261YnjKatXrVcbMzUnZJWRUEpUx5wiRyuoVo7P5+PYsWM6/hQlhHO3mbddl3uz8bBfvbiAzFEj8B0o5+OdHxoxFSuV5RW893YxAL0G9OOy8aPrPGQfmzGXkkIvNYcPc//zj9qu5akvrhLOLWZWpPU14VMZiZmjRhixIqWArBZiQnJS0Low1U59woxpQfta219YUdavWq9Wn4vR/FvTcBxRUEKIZOBJ4BLga+BuKeXzIfbNA34PmDvpnS+l/Li55WwNfPDBBwBcf+dvHZZE09RYH/aJpyRTUrgZ79qNttmD65at4r3NWwHofWFg3VV1lZ8xU3OMhcNdu3ejpNBLj17nGJ+rLK8w3GPQuIWvChU3sq7rsio187XteLuYnZu34l33Jjtr5VdWkefiIXViZGaLCQJWkZ2CC0ckVpC2lI4fpyyoR4DDQGegD/CqEKJESrkzxP4FUsrrW0q41sTatWsBOK1bV4cl0TQ15oe95+IhbFzxGmOm5oSc0av9q/1+BMLoY5U2eAAAL85bZOvSenXxMiN2Yz12fane5v2srr1QFRaUC1Nl4L31z3XGcZRsan9zooPVDWp+b8v6wjpJERrnaXEFJYQ4AbgaOE9KeRAoFEKsBMYCd7W0PK2df/7znwB0O/cshyXRNJZQLjPVcdVs4VwzdZLtvubY0oYVa3hh3uP0GtAPgJLCzfTo1dN4+Fs/98Yr/wLg3PTzDcWi0rkBw9KxLow1Y+faMyuZ7MkTSBvsofJA4NgvzlvEjfdMAeCLffvp2qMb4+++jV3e7cD3LrzsyROMRAer5abWlKlUfWvKfiT/Z50y3rw4YUGdDRyRUn5o2lYCZIb5zEghRDnwP+BhKeWjoXYUQkwCJgGceuqpTSBubKNiT11/nOKwJJrGUl9GmzkBoNpvn3VmXj911vmpAPTsEyh7tXPzViTS9thPzn6I/+3dR9ce3bh8fLZxPpXOfeVNY0kfNphUT58gNyAEL4y1c+1ZrZySQi8lhV6umTqpjhVnVkD+qipjAXPvgf3rnMNfVRWIIZlccMrlGWrhdKj/s04Zb16cUFAnAt9YtlUCJ4XYfxnwOPAFMAD4hxDCJ6V8wW5nKeXjtfuTmpoqm0TiGObQoUP176RxNfUF480P+sEjLw7ZU0j9PikpwSiftHpxATtrS/mYUZZD9uQJxufMLjyVkCEQQW60tMED6N7rbAQiSFEoa8+MuXJGqqcPNYcP06PXOXVKElnXjFVX+Y01TtbswrhO8Tw9Z369CRih/o/m36G2aZoOIWXTPsOFEG8Q2hraBNwGbJJSdjJ95nZgqJSy3rsshLgLuEBKeXV9+6ampsqlS5dGJHdr5LvvviMzM5OTkhN4fvt6p8XRNCONdUWF+pzKiLvxnim2C2efz1/IC/MeN4qoWhMQrJ+vj4bsH652IKBdci5k5Jn9i6WU6dbtTW5BSSmHhnu/NgbVTghxlpTyo9rNaUCoBIk6p4Ba57bmuHjmmWcAuG5q+MWYmuinsRlloT5X38JZSWDiq4qoQrD7LFyFDDvFoWJKoVLkw8lst5i4Ieg4k3O0uItPSvmdEGI5cJ8QYiKBLL5RwCC7/YUQo4CNgA+4AJgM3NMiwsY4BQWBNuIXjbrUYUk0TU1zP1TrWzh7+fjsoGoS1vp2w0ePxHPxEP506+/p3uts4uLjg2JjVvm9azcaMSVrnKi+az1eN5yOMzmHU2nmvwGeAr4EDgC3qBRzIcRFwL+klCfW7jumdt+OQBkwV0r5TMuLHHt89913AJyclOCwJJqmprkequEyBsMtIFbyrC1YQdmevUCgdUhJ4WZKCjfXSV+3ym+X4BDptR7veiQdZ3IORxSUlLIcuCLEe28SSKRQr69pIbFaJR07dnBaBE0z0FwP1cYqPnOihkpe8Fw8hJrDNXTvdXZQWSM7+cMlODS3AtELbp2jyZMk3IROkgjN3/72N5566ikGj7yE6Y/80WlxNFHC8bgOj9ftqGNBsUuoJAmtoFopP/vZz/D5fKz6tNhpUTQaTSsnlILSFUJbKT6fz2kRNBqjnJG1r5VTx9G4C62gWiEVFYFB/IOEUGujNZqWQcW01i1b5YrjaNyFbrfRCpk0aRIAv1lwv8OSaFo7TZXgoDPtYhOtoFohn3zyCQAX/HSww5JoWjtNlSGnM+1iE+3ia2V88cUXAMR1iqtnT41Go3EWraBaGf/9738BmDDjdocl0Wg0mvBoBdXKuPfeewE419PHWUE0Go2mHrSCamV8++23AKSc1d1hSTQajSY8WkG1Mo4dO2Y0KdRoNBo3E9OVJIQQXwGlzXDoHwBfN8NxnURfk/uJtesBfU3RQnNfU4qU8ofWjTGtoJoLIcQWu7Ic0Yy+JvcTa9cD+pqiBaeuSft6NBqNRuNKtILSaDQajSvRCqpxPO60AM2Avib3E2vXA/qaogVHrknHoDQajUbjSrQFpdFoNBpXohWURqPRaFyJVlAajUajcSVaQUWAEOJWIcQWIcQhIcTiCPafJoT4XAjxjRDiKSFExxYQs0EIIZKFEC8LIb4TQpQKIa4Ns2+eEKJGCHHQ9ON4raRIr0EEmCuEOFD7M1cIIVpa3khowDW58p5YacjYiYZxA5FfkxBivBDiqOUeDW0xQSNECNFRCPFk7fftWyHEdiHEz8Ps32L3SSuoyNgP3A88Vd+OQohLgbuA4UAK0B2Y1azSNY5HgMNAZ+A64FEhRK8w+xdIKU80/XzcIlKGJ9JrmARcAaQB5wMjgZtaSMaG0pD74sZ7YiWisRNF4wYa8DwA3rbcozeaV7RG0Q7YB2QCCcAfgGVCiG7WHVv6PmkFFQFSyuVSyleAAxHsfgPwpJRyp5SyApgNjG9G8RqMEOIE4GpghpTyoJSyEFgJjHVWsshp4DXcAPxFSlkmpfwM+AsuuycQG/fFSgPGjuvHjaKBzwPXI6X8TkqZJ6XcK6U8JqVcDXwC9LfZvUXvk1ZQTU8voMT0ugToLIQ4xSF57DgbOCKl/NC0rYSA7KEYKYQoF0LsFELc0rziRURDrsHunoS7Vqdo6H1x2z05HqJh3DSGvkKIr4UQHwohZgghXN/FXAjRmcB3cafN2y16n7SCanpOBCpNr9XfJzkgSyhOBL6xbKsktIzLgHOBHwI5wL1CiGuaT7yIaMg12N2TE10Yh2rINbnxnhwP0TBuGspG4DzgRwQs42uAOxyVqB6EEO2B54BnpJQf2OzSovep1SsoIcQbQggZ4qewEYc8CJxseq3+/vb4pY2MCK7JKqOS01ZGKeUuKeV+KeVRKeVbwHzgl817FfXSkGuwuycHpftWqUd8TS69J8eD4+OmqZFSfiyl/KTWbbYDuA8X3yMhRBtgKYEY6K0hdmvR+9TqFZSUcqiUUoT4GdyIQ+4kEIxXpAFfSClbzF8dwTV9CLQTQpxlkdPOpLc9BeC09dGQa7C7J5Fea0tyPPfFDffkeHB83LQArr1Htd6EJwkk51wtpawJsWuL3qdWr6AiQQjRTggRB7QF2goh4sL4kpcAE4QQqUKIRAIZMYtbRtLIkFJ+BywH7hNCnCCEyABGEZg91UEIMUoIkVSbru0BJgMrWk7iujTwGpYAuUKI04UQXYDbcdk9gYZdkxvviR0NGDuuHzeKSK9JCPHz2ngOQohzgBm48B7V8igBl/FIKaU/zH4te5+klPqnnh8gj8Dsx/yTV/vemQTM3jNN++cCXxCIJzwNdHT6GmyuKRl4BfgO+BS41vTeRQRcYOr1CwQylg4CHwCTnZY/3DXYyC+AB4Hy2p8Hqa1D6bafBlyTK++JzfXYjp1oHTcNuSbgz7XX8x3wMQEXX3un5be5npTaa6iulV/9XOf0fdLFYjUajUbjSrSLT6PRaDSuRCsojUaj0bgSraA0Go1G40q0gtJoNBqNK9EKSqPRaDSuRCsojUaj0bgSraA0Go1G40q0gtJoNBqNK9EKSqNxIUKIX9Z2bE0xbZsvhNijyudoNLGOriSh0biQ2uKd7wDbpJQ5QojfAXcCGVLKj5yVTqNpGVzfPEujaY1IKaUQ4h7gVSHEHuAeYLhSTkKIl4GhwDoppWtbOGg0x4O2oDQaFyOEeAvwEKgy/S/T9qEEmsTdoBWUJlbRMSiNxqUIIYYR6LcjCFSPNpBSvkEUN/PTaCJBKyiNxoUIIdKAl4HbCLTf+KOjAmk0DqBjUBqNy6jN3PsX8Bcp5VNCCC/wrhBiaK3lpNG0CrQFpdG4CCFEMrAGWCWlvA9ASvke8BLaitK0MrQFpdG4CCllOYHW29bt2Q6Io9E4is7i02iiECHE6wQSKE4g0Mb+V1LKt52VSqNpWrSC0mg0Go0r0TEojUaj0bgSraA0Go1G40q0gtJoNBqNK9EKSqPRaDSuRCsojUaj0bgSraA0Go1G40q0gtJoNBqNK9EKSqPRaDSu5P8BGONiv7S0QJIAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(6, 3))\n", + "plot_decision_boundaries(knn, X, show_centroids=False)\n", + "plt.scatter(X_new[:, 0], X_new[:, 1], c=\"b\", marker=\"+\", s=200, zorder=10)\n", + "save_fig(\"cluster_classification_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "__KNFR97DRoP", + "outputId": "917ea6f9-7c89-416f-f84d-de6c818d7b61" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1, 0, 1, -1])" + ] + }, + "execution_count": 128, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_dist, y_pred_idx = knn.kneighbors(X_new, n_neighbors=1)\n", + "y_pred = dbscan.labels_[dbscan.core_sample_indices_][y_pred_idx]\n", + "y_pred[y_dist > 0.2] = -1\n", + "y_pred.ravel()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "X1y-03BTDRoP" + }, + "source": [ + "## 다른 군집 알고리즘" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Yy5utEyNDRoP" + }, + "source": [ + "### 스펙트럼 군집" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Dy9pP8R0DRoP" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import SpectralClustering" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Lj9WqI5BDRoR", + "outputId": "e3a3a1ae-7be8-4c02-84b3-50f3bb5b1975", + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "SpectralClustering(gamma=100, n_clusters=2, random_state=42)" + ] + }, + "execution_count": 130, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sc1 = SpectralClustering(n_clusters=2, gamma=100, random_state=42)\n", + "sc1.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "IK3Zv50BDRoS", + "outputId": "5abf5d63-196c-4f15-ee93-101901b23869" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "SpectralClustering(gamma=1, n_clusters=2, random_state=42)" + ] + }, + "execution_count": 131, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sc2 = SpectralClustering(n_clusters=2, gamma=1, random_state=42)\n", + "sc2.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Q-NwNTIBDRoS", + "outputId": "95872943-b630-41f7-b5e9-de84a2114e41" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.04251990648936265" + ] + }, + "execution_count": 132, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.percentile(sc1.affinity_matrix_, 95)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "c14vz-xADRoS" + }, + "outputs": [], + "source": [ + "def plot_spectral_clustering(sc, X, size, alpha, show_xlabels=True, show_ylabels=True):\n", + " plt.scatter(X[:, 0], X[:, 1], marker='o', s=size, c='gray', cmap=\"Paired\", alpha=alpha)\n", + " plt.scatter(X[:, 0], X[:, 1], marker='o', s=30, c='w')\n", + " plt.scatter(X[:, 0], X[:, 1], marker='.', s=10, c=sc.labels_, cmap=\"Paired\")\n", + " \n", + " if show_xlabels:\n", + " plt.xlabel(\"$x_1$\", fontsize=14)\n", + " else:\n", + " plt.tick_params(labelbottom=False)\n", + " if show_ylabels:\n", + " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", + " else:\n", + " plt.tick_params(labelleft=False)\n", + " plt.title(\"RBF gamma={}\".format(sc.gamma), fontsize=14)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "0aIfIHa1DRoS", + "outputId": "207c12dc-c1b0-425f-d157-3a14da21bc25" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 3.2))\n", + "\n", + "plt.subplot(121)\n", + "plot_spectral_clustering(sc1, X, size=500, alpha=0.1)\n", + "\n", + "plt.subplot(122)\n", + "plot_spectral_clustering(sc2, X, size=4000, alpha=0.01, show_ylabels=False)\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "yAUMO1reDRoS" + }, + "source": [ + "### 병합 군집" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "y5WPpEUdDRoS" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import AgglomerativeClustering" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "koPgYqYyDRoS" + }, + "outputs": [], + "source": [ + "X = np.array([0, 2, 5, 8.5]).reshape(-1, 1)\n", + "agg = AgglomerativeClustering(linkage=\"complete\").fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "8mOkyPSHDRoS" + }, + "outputs": [], + "source": [ + "def learned_parameters(estimator):\n", + " return [attrib for attrib in dir(estimator)\n", + " if attrib.endswith(\"_\") and not attrib.startswith(\"_\")]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Y3aHxyh6DRoS", + "outputId": "7171eeb6-b22c-48cd-b505-a21620e6604f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['children_',\n", + " 'labels_',\n", + " 'n_clusters_',\n", + " 'n_connected_components_',\n", + " 'n_features_in_',\n", + " 'n_leaves_']" + ] + }, + "execution_count": 138, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "learned_parameters(agg)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "4WTD27tfDRoS", + "outputId": "2f005937-7fbd-4eca-86a4-6b9b095bafc0", + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 1],\n", + " [2, 3],\n", + " [4, 5]])" + ] + }, + "execution_count": 139, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "agg.children_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pfAhiUbzDRoT" + }, + "source": [ + "# 가우시안 혼합" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HVPsfjmwDRoT" + }, + "outputs": [], + "source": [ + "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n", + "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n", + "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n", + "X2 = X2 + [6, -8]\n", + "X = np.r_[X1, X2]\n", + "y = np.r_[y1, y2]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5L4sexjiDRoT" + }, + "source": [ + "이 데이터셋으로 가우시안 혼합 모델을 훈련해 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "RqbXr5tZDRoT" + }, + "outputs": [], + "source": [ + "from sklearn.mixture import GaussianMixture" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "x5lTq2z-DRoT", + "outputId": "5484f031-55a2-4077-c8db-d5be85da23d0" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "GaussianMixture(n_components=3, n_init=10, random_state=42)" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm = GaussianMixture(n_components=3, n_init=10, random_state=42)\n", + "gm.fit(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "t_gkV3dpDRoT" + }, + "source": [ + "EM 알고리즘이 추정한 파라미터를 확인해 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "jD0jMM1FDRoT", + "outputId": "798acf7e-cddb-4bcc-e4a9-1801c017e22a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.39025715, 0.40007391, 0.20966893])" + ] + }, + "execution_count": 143, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.weights_" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "McsdGifNDRoT", + "outputId": "66070d50-759e-4c58-f411-7a4802d23e37" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.05131611, 0.07521837],\n", + " [-1.40763156, 1.42708225],\n", + " [ 3.39893794, 1.05928897]])" + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.means_" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "LosLKLY0DRoT", + "outputId": "91afef04-5fea-4b62-a58c-546851214f95" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[[ 0.68799922, 0.79606357],\n", + " [ 0.79606357, 1.21236106]],\n", + "\n", + " [[ 0.63479409, 0.72970799],\n", + " [ 0.72970799, 1.1610351 ]],\n", + "\n", + " [[ 1.14833585, -0.03256179],\n", + " [-0.03256179, 0.95490931]]])" + ] + }, + "execution_count": 145, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.covariances_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BqlRCC4EDRoT" + }, + "source": [ + "이 알고리즘이 실제로 수렴했나요?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "V0qseWjJDRoT", + "outputId": "a808e18c-83b5-4440-a7ed-0ef446987053" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.converged_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GoxhgkYSDRoU" + }, + "source": [ + "네 좋습니다. 몇 번 반복했나요?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "iyxnU77JDRoU", + "outputId": "a1ae9da9-6323-4b03-d79c-1991ad23d3ab" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 147, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.n_iter_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "oLYLjLsEDRoU" + }, + "source": [ + "이제 이 모델을 사용해 각 샘플이 속한 클러스터(하드 군집)나 클러스터에 속할 확률을 예측할 수 있습니다. 이를 위해 `predict()` 메서드나 `predict_proba()` 메서드를 사용합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "INdST7VVDRoU", + "outputId": "5be93ae3-f184-4215-a643-864f73edb20f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 1, ..., 2, 2, 2])" + ] + }, + "execution_count": 148, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.predict(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "L9QoqVAYDRoU", + "outputId": "77007fef-bd31-4ddf-c990-798734d93939" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[9.76741808e-01, 6.78581203e-07, 2.32575136e-02],\n", + " [9.82832955e-01, 6.76173663e-04, 1.64908714e-02],\n", + " [7.46494398e-05, 9.99923327e-01, 2.02398402e-06],\n", + " ...,\n", + " [4.26050456e-07, 2.15512941e-26, 9.99999574e-01],\n", + " [5.04987704e-16, 1.48083217e-41, 1.00000000e+00],\n", + " [2.24602826e-15, 8.11457779e-41, 1.00000000e+00]])" + ] + }, + "execution_count": 149, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.predict_proba(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jwBazDtDDRoU" + }, + "source": [ + "이 모델은 생성 모델입니다. 따라서 새로운 샘플(과 레이블)을 생성할 수 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "KqD-ZkfuDRoU", + "outputId": "4352f5fc-4103-44e0-c03e-3fd75a872f41" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.86944074, -0.32767626],\n", + " [ 0.29836051, 0.28297011],\n", + " [-2.8014927 , -0.09047309],\n", + " [ 3.98203732, 1.49951491],\n", + " [ 3.81677148, 0.53095244],\n", + " [ 2.84104923, -0.73858639]])" + ] + }, + "execution_count": 150, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_new, y_new = gm.sample(6)\n", + "X_new" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "9Vg9rPX3DRoU", + "outputId": "513631af-3ed7-4c5f-f815-b0ed9dc1234a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 1, 2, 2, 2])" + ] + }, + "execution_count": 151, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_new" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "urh2f4GdDRoU" + }, + "source": [ + "각 클러스터에서 순서대로 샘플링되었습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "08HwDknMDRoU" + }, + "source": [ + "`score_samples()` 메서드를 사용해 로그 _확률 밀도 함수_ (PDF)를 추정할 수도 있습니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "whWWZFWcDRoU", + "outputId": "49e83951-c429-454d-ca75-c2d2c4beb417" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-2.60768954, -3.57110232, -3.32987086, ..., -3.51347241,\n", + " -4.39798588, -3.80746532])" + ] + }, + "execution_count": 152, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.score_samples(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IHMTTMZfDRoV" + }, + "source": [ + "전체 공간에 대해 이 PDF를 적분하면 1이 되는지 확인해 보죠. 클러스터 주위로 큰 사각형을 정하고 작은 사각형의 그리드로 자릅니다. 그다음 작은 사각형에서 샘플이 생성될 확률의 근삿값을 계산해 보죠(작은 사각형의 면적과 PDF를 곱하고 이 확률을 모두 더합니다). 결괏값은 1에 매우 가깝습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "N8VnLq2jDRoV", + "outputId": "71dcb63f-ed09-47fd-93ed-d8f551c175ac" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.999999999921502" + ] + }, + "execution_count": 153, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "resolution = 100\n", + "grid = np.arange(-10, 10, 1 / resolution)\n", + "xx, yy = np.meshgrid(grid, grid)\n", + "X_full = np.vstack([xx.ravel(), yy.ravel()]).T\n", + "\n", + "pdf = np.exp(gm.score_samples(X_full))\n", + "pdf_probas = pdf * (1 / resolution) ** 2\n", + "pdf_probas.sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BMW50LSzDRoV" + }, + "source": [ + "만들어진 결정 경계(파선)와 밀도 등고선을 그려보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "GXZ7Tu4DDRoV" + }, + "outputs": [], + "source": [ + "from matplotlib.colors import LogNorm\n", + "\n", + "def plot_gaussian_mixture(clusterer, X, resolution=1000, show_ylabels=True):\n", + " mins = X.min(axis=0) - 0.1\n", + " maxs = X.max(axis=0) + 0.1\n", + " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", + " np.linspace(mins[1], maxs[1], resolution))\n", + " Z = -clusterer.score_samples(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + "\n", + " plt.contourf(xx, yy, Z,\n", + " norm=LogNorm(vmin=1.0, vmax=30.0),\n", + " levels=np.logspace(0, 2, 12))\n", + " plt.contour(xx, yy, Z,\n", + " norm=LogNorm(vmin=1.0, vmax=30.0),\n", + " levels=np.logspace(0, 2, 12),\n", + " linewidths=1, colors='k')\n", + "\n", + " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + " plt.contour(xx, yy, Z,\n", + " linewidths=2, colors='r', linestyles='dashed')\n", + " \n", + " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", + " plot_centroids(clusterer.means_, clusterer.weights_)\n", + "\n", + " plt.xlabel(\"$x_1$\", fontsize=14)\n", + " if show_ylabels:\n", + " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", + " else:\n", + " plt.tick_params(labelleft=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Ud6jwnGYDRoV", + "outputId": "a0aa75af-1a5c-4d6b-8952-a6562d734b0a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: gaussian_mixtures_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "\n", + "plot_gaussian_mixture(gm, X)\n", + "\n", + "save_fig(\"gaussian_mixtures_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4NdiIM6eDRoV" + }, + "source": [ + "`covariance_type` 매개변수를 사용해 이 알고리즘이 찾을 공분산 행렬을 제한할 수 있습니다.\n", + "* `\"full\"`(기본값): 제약이 없습니다. 모든 클러스터가 어떤 크기의 타원도 될 수 있습니다.\n", + "* `\"tied\"`: 모든 클러스터가 동일하지만 어떤 타원도 가능합니다(즉, 공분산 행렬을 공유합니다).\n", + "* `\"spherical\"`: 모든 클러스터가 원형이지만 지름은 다를 수 있습니다(즉, 분산이 다릅니다).\n", + "* `\"diag\"`: 클러스터는 어떤 크기의 타원도 될 수 있지만 타원은 축에 나란해야 합니다(즉, 공분산 행렬이 대각 행렬입니다)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1gEfqJ5rDRoV", + "outputId": "cf2ac91a-f773-4c16-a3a1-fed18ceb5697" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "GaussianMixture(covariance_type='diag', n_components=3, n_init=10,\n", + " random_state=42)" + ] + }, + "execution_count": 156, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm_full = GaussianMixture(n_components=3, n_init=10, covariance_type=\"full\", random_state=42)\n", + "gm_tied = GaussianMixture(n_components=3, n_init=10, covariance_type=\"tied\", random_state=42)\n", + "gm_spherical = GaussianMixture(n_components=3, n_init=10, covariance_type=\"spherical\", random_state=42)\n", + "gm_diag = GaussianMixture(n_components=3, n_init=10, covariance_type=\"diag\", random_state=42)\n", + "gm_full.fit(X)\n", + "gm_tied.fit(X)\n", + "gm_spherical.fit(X)\n", + "gm_diag.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "AODaiMcaDRoV" + }, + "outputs": [], + "source": [ + "def compare_gaussian_mixtures(gm1, gm2, X):\n", + " plt.figure(figsize=(9, 4))\n", + "\n", + " plt.subplot(121)\n", + " plot_gaussian_mixture(gm1, X)\n", + " plt.title('covariance_type=\"{}\"'.format(gm1.covariance_type), fontsize=14)\n", + "\n", + " plt.subplot(122)\n", + " plot_gaussian_mixture(gm2, X, show_ylabels=False)\n", + " plt.title('covariance_type=\"{}\"'.format(gm2.covariance_type), fontsize=14)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "0NPFzYI_DRoV", + "outputId": "c17e2569-6bcc-47a1-93ce-6c310b7284bc" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: covariance_type_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "compare_gaussian_mixtures(gm_full, gm_diag, X)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4F3f4AWFDRoW" + }, + "source": [ + "사이킷런 예제:\n", + "![scikit-learn-docs](https://scikit-learn.org/stable/_images/sphx_glr_plot_gmm_covariances_0011.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Ftiu1WaWDRoW" + }, + "source": [ + "## 가우시안 혼합을 사용한 이상치 탐지" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "n5P-Rhi7DRoW" + }, + "source": [ + "가우시안 혼합을 _이상치 탐지_ 에 사용할 수 있습니다: 밀도가 낮은 지역에 있는 샘플을 이상치로 생각할 수 있습니다. 사용할 밀도 임곗값을 결정해야 합니다. 예를 들어 한 제조 회사에서 결함 제품을 감지하려고 합니다. 결함 제품의 비율은 잘 알려져 있습니다. 이 비율이 4%라고 하면 밀도 임곗값을 이 값으로 지정하여 임계 밀도보다 낮은 지역에 있는 샘플을 얻을 수 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bFyyH9u0DRoW" + }, + "outputs": [], + "source": [ + "densities = gm.score_samples(X)\n", + "density_threshold = np.percentile(densities, 4)\n", + "anomalies = X[densities < density_threshold]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "cE_cttoRDRoW", + "outputId": "2a61b60a-ccec-4ac7-c067-3c707d6388d3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: mixture_anomaly_detection_plot\n" + ] + }, + { + "data": { + "image/png": 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vJv7eKhxeAvvSo9Fe7ot+hif2UCWSJLHitxpeerKSuRdqGPFE9xfsM+msrHsrjcOrCjnz1v5UjZverZ2+TQWVFP6wnYoNhwmZNoDQR+5EEXxq1OrozdiNFuRervt9JmaVIOGMFbMq5Uxd+h+kf+kF3o0bALmHksCxfWBsHwbdIGE4UoywbxvLHt+FpdpG36mR9J0eSezwIGQufJjoaU5bgfPup1U8/2Ylb30dQmKK+8mtRewSA8cVoip1ugkUNRLKo1ZsfVTYQ5VUlDn478OV5ByzMe+1iUQO6t6aIaJDYu+SbNa9nU6/GZEM+OAmdD7qbqtnY8wqo+DbrVT9k034nKGEPX0fch9NN23dNfjUmPj5uXc4/6FbqPbqPamnkihi15tQ+nV+TGO2ZbJ3UAwrpw9i1qo0giuMXPPBQheM0o2bUwdBJuDTLwL6zafvxc7edt57t7D6lQPoS0z0nRpB/5nRxI4MRnaKJ9qclgLnpXcqef9zHe98F0JU7Gl5CNpMyLs6op/XNxAL5ed7Yuujclptlpp46clK5l2sYdTT3W+1KTpYyZ/P7kWuFEh+9lLUSd2X9m3IKCb/m61UHywg4rwRqC+49JStXzN13yFSikqZsv8wv40Z2tPDqcOhM6DwVnc6MPyTmz4mJauctWf04bm7z+ae/17iohG6cXNq4xUbhC12DolzwVxUhd+uTax6ZT+GMjP9ZkQx4OxoogYHnpJurNOuDs4zr1Tw9c/VvPZ1MKHhbnHTEn0uKsF3u7XuvaiC/ZvCcYQqqaxw8N9HKjl2xMakJ8Z3u9XGpLOy9o2DHFlbxJQ7BlAxelq3Zb4ZjhSR9+VmjBklRF40GvvgKcg8Ts34rdff/5qZe9LQ2ex8KUlcIQj4KRWsGJrKHTct6OnhYT58DNOypQx67YqOraBRTymA8z+/kZJwf9cM0I2bfymmAi0+OzZx8M987GYHA86OZsDsGEKSeqalTkuc9nVwJEniiRe1/LzcwBvfhhAceroWv2879kBZXaxC8UIvCh93Bgyv/qOG5x+tZPb53R9rI4kS+37LZe0bB+k3PYoB79+EtpvcUYYjxeR9sQljZglRl4zF+5prEZXKUzoj6pX5MxmQV8T3JeU8IklYBYGLggJ4+byzenpoANiKSvGM6Xig+ndXv99A3Nzx34vc4saNmzbgGRWIPWouKedK1BwrxbF1E9/ctAnvYDUD58YwYFZMr++VdVoInFpxs+R3A69/E0xgsFvcNIWs0k7/c0rQj1eT91IQ2e+HYH6pipLrNEgBSvQ6kf89VsmBPdYeyZAqzdDx5zN7EO0SSU9egkdKeLds15hZQu7nmzBmFDuFzbXX4lD2TM8qV5MTFswr82fw2Htfg1zOQlHkqfkzyA3t/uy3plBpj+GV2IH6SZLE3/NexctyokbTZR8uJDcu2IWjc+Pm348gCGiSwiDpfAZdKqLbk0vxxi1sePcQcSODGXxuLEkTwpEre9+j3mkhcJ5+xSluXvvaLW6aI/bucoJ/NAEQ8kMNxnFqtBdoKL7HH4DN60w8c38lk2d6csk3Z3drXRtrjZ0N76azf2kuZ96Sim5C92RH1eSUk/f5JvQH84m6ZAyaq67Bofp3CJv6zN6xD43aA2nuNDRLV3HOjv38PnJwTw8LAMPhYkKmD2z3clH5WjzriZsbX77MLW7cuOkkglyG/4h4GBHP0BsslK8/zNbPdvDH03sYNDeWIefF9aoaO/96gfP8G1q++6WaN74NcYubJlAU2Rk4oQjZiXsBdm8B7XxnsGyNUeS156rYtMbM1CfHkjCme6sRH1lTyIoX9hE7IpjU925AH6DpcoFhLqoi74tNVO7IIuqiUXhedgWih+qUdkW1xPuzJvH4gnMp9/NhydhhRFTqenpIAIgWK6Y8Ld7JrQeOa4wW3r/jS+567kKMXh4UxATx21mDmP33AeZ+ewt6/1Mrq82Nm96O3MuDsFmDYdZgQvIqYMN6vly4gaAEH4ZdEE/faZHdnnTSmH91kPGbi6t486Mq3v4+hJAwt7hpTNxt5QT9Zqp7LwH5D/pR9n/OILJ9/1h47D9aBo9Q0ffOKai7sdS3vriGFc/vozyrmohbZuM3NK7Lt2mtMJD/9RbK1x0ifN4wGHtWr8+KEq02RJ0eR7URscaEZLWBQwSZDEGlRKbxRO7vi9zfF0F2akk0c9pRTH/8zqDXLm913hmr03ji+WUAZMUEcv3rV2D27t3fnRs3/zZEmwPtlqNYV26m9LCOwefGMeyiBAKiu/YB47QLMv70Oz2vvFfJO25x0yweWba6v23+Agc2RyBp5NisEh++rueX7wxMemBkt3b+Fu0iO785xqbFhxl5WVK39I6yG8wU/LCdkmV7CJkxkLCn7kXWy+rYOHTVWHMLseUXYSsswVZcjr2sAtFkQe7ng9xHg8xLjaBSgVwGooRktSIaTdgrdUgmM8rocDz6xOM5pL+zc3kvFzyqwgMoB8e0OM/jzy1l4taj6M02XgSuBRLytLx1zzdc/9613TLO7kJyiDhqrDhMVhxmG5LNjmgX4XgvLQQBQSFDppQj81Ai91Ih91J1aRd2N27qI1PKCT6zL5zZl4CCSqQ1a/j0irVEDgxg5KWJJJ4R1q3p5v9KC86S3w0serCUt78NIT7JXcSvDlGi39nFZL0SgGWAGmx2Bg8pJv8hP7RXOP2mx47YePSuCoJD5Qx/eArewd33FFycXsXvT+7Gw1tB4M3z8Yzu2tRz0Wqn+Lfd5H+3jcCxSSimzUYR1POVhyVRxJZXhPlIFtbMHCyZOYhmK6rYSFQxEXipI1EFh6IKDEau8W6TUHGYzViKC9BXHqFm90HEaiM+08fjPWVcr01xr3z5dWKumoD/8Phm54kqqOTT//uYty0O7gP+B9yukHHl4usoiOz577ItSJKEraoGc2EVlhIdlhI91vJqrBUGrJVGbFU12HU1OMw25J4q5z+1EkElR5DLnN+/4MwwlOwiks2Ow2JHNFmdVaDVShQ+nij9vVAGalAFeeMR4oMqxBd1mC8e4f6ogrxPyTonbno/DouN8jXpGJZvwWayM3JBEoPPjXNpHOdpY8FZu7mGm+8r5dXPgt3iph4B3xuIv7cSAUhZUM7BzRGIGgX70qIB50X2u08NfPC6nlvv9UM6Z1K31ZWx1thZ/046B5bnMfXOAVSM6dqaNpIoUb46jdzPNuCVEELw3TehiuqejKzmsJdXYjpwGPPBDCyHMpH5euORkoBv1AA8x85GGRjcqWMiV6vxik/CKz4Jhp2NuSif0p0rqF69haCFF6Hul+TCvek8Yo0JY1YZvgOjW5zv/z5ai5fFQa2t5mrgqQfm9kpxI4kSluIqjFnl1GSXYcqtwJSnxVSgRaZUoI7wxyPcF49QPyw+McijfdH4+SDz9Ubuo0FQe7Tb6iZJEpLJjMNQg6g3OC2BVXoUNcVUbc/EUqrHXKzDYbDgEeqLR6Q/npEBqCP9UUcGoI4KwCPM120FctNh5B5KwmYNJvSsQVQfyCfnj3VseDedwfPjGLUgCd9wry7bdq8QOIIgJAP7gR8lSepgRS/Yl2bh0huLeerNQPoP6p1Ppd2NIs9K/3PLUFac6MYsM0mIniculGUlDp68V4teJ3LZZ9MgzrvbMoUyN5Xw5zN7iBkWxID3bkDr79Wl29btziH7wzUICjl+1yxAnZLQhVtrHkkUsWblYdqThmlPOo5qA+oBKfjFDUYz+QIUvn5dun11RDSxcxdizEin8INv8J8/E+8zR3fpNtuDOT0T3wHRrbonJ2/MACAYGDmuD157c5m6/hBrz+zbDaNsHkmUMOVrMRwuwnCkGGNmKTXHSpFrPPBKCMErPhgxYRDeZ4QQEBaMTNPwIu+qPBRBEBC8PJF5eUKj1H+v4//AGdBtL9diL63AVFqBmFuAdstRzIVVWLUGVEHeqCP8j4swP9ThfniE+eER5ovSX+O2/rhpFUEQ8B0UA4OuQFOsQ1yxksUXrSZpQjhjr+5DWD9/l2+zVwgc4G1gR2dWkJtvY+6Vhbz+bAh9x7stNwBxi8oJWmpqMK38PE9yXzuRLrv6zxqef6SS8xd4E3jllG6rZWDUWlj54n7y91QQtWg2viO7VmjU5JSTs3gtNblavM89B6+Rg7vNQlWLJIpYMrKp2bkf064DyLzUeA4bQMTZl6COim326dxuNKDfsx3foaNRaLxdOiZNcn/irlpE7pdvI9N44TWi/SnZXYE8ay/eI+Kbn8FuB4WCV2+exn/eXcUvZw/mpbtmEVBpJKxM323jrBuO0UJ1WsHxf4UYjhSj8PXEOyUc75RwxOQR+MZEIvc+IWRc+012DpmHClVUeANLpgfgB0h2O/bySuxlFVjLtMj1hZQfKXa600r1OGqsqIJ98Aj2RhXs4/wX5O38F6hBGeh8lXu6HzrdOFGH+8FVFzD4fDOa9av4btEWQpN9GXttCnGjOmetrk+Px+AIgnApcD6QBvRpzYLTVAyOTu9g4rx8rrnUl6kLe0+jwJ5mWHwewvGv1+YrkPZnGI4op/irMYq8/FQVOzabmfbMeKKHdE9hN0mSOPh7Pqte3s+Ac2IQLpzTpRc+W1UNuZ9vpGLDYaIvGYtj+HQEZffpekmSsOUWYty6m5rte5F5e+E1cjABUcPwCGlb3yztptWU/b2MkBlzCBw/tUvGaSrIJf/bD4l48i7kfj1bx0KSJEoefJbU/16MV2zD81JwiKyZ8zJmtYpZP9wKip55RrPpTej35Tn/HcjDlF+Jd0o4PgOisIb0Q5UYg9ynN0mYrkO02nBU6nBoq3BU6rFX6fC0l2KtMGDTGrBqjdi0RpALqAKOC54AjTMeqPa1nhBS+nl1S50rN70H0WoncMcatn6agdpXyfjr+9JnUnibhU5zMTg9KnAEQfAFdgJTgevpgMCx2STmXFFISpKShY/7dPtTea/CJhL9TBX5TzqDcyOf0RK22EjOU35orzrRPyRtn5WHb69wpn//Zyoemu6xeOmKavjz2T1Ul5gIu+1cfPpGdNm2RKudol93UfDdNkKmpiKbMhu5d/dlRjmq9Bi37MK4+R9Eqw3NmGEExo3EI7T9sT4tWXBcad0p3LwEyW4n8PL5nVpPZ7EVllDx5mJGfHFTg9+zIEqsn/ViXT2inUNiuOPFy7plTA6zDf2BfHS7stHtycFcWIVPahS+g2OwhA1AFR+N0ENi61SgLhboeByQo0qPQ1+NRipzCqBKozOoWmvAYbSg9PdyWoBqLULBPniE+DjjhEJ9nUHRbhH0r0NyiFRsOkLVD+sAmHBjX/pOjWzVBdpbBc7rQKEkSS8IgvAEzQgcQRBuBG4EiI1SjMja6XRnSJLELfeXkltg58kPA1EoTl9xE/itgbj7nUHEOU/7U3HVyU/hDofE5+9X89Xiau57KoDqCWd2y9gkUWLXD1msfyedUZcnYT3nHGTKrglalCQJ7eaj5Hy4Bs+YINTzzkMZHtIl2zpp2w4Hpr2HMGzcgSUjG6/hAwhMHotnTHyXpWS31brTFiFkr9Zz7J3niXr54R7NrJLt+IuanHL63DWrbprc7mDN7JeRH79cScBZP96G0bdrLLaSJGHKqaByxzGqdmZRfagQTVIY/sPisEYNRpUQg+AOvO0SJLvdKYIq9TiqdNgrdXjZS7CU6bGWVWMp0WPT1TizwcL9UIcfjwuKOB4YHemPsovOCzfdgyRJVG49iu77NdgtIhP+rx/9pjUvdHpdFpUgCEOB6cCw1uaVJOkD4ANwWnBqp7/9sY7NO8y8/WPIaStuBJPIwHGFKCtPCNWIN/QnCZySIjuP3qlFkmDBVzOojui6yPX6aHMMLH9iF6JDou9LV2KPDeqyisDGrDKy31uNVWvA55IL8ByY0kVbaohdW4Vh3TaMG3ciDw4gcMA4fGZfhUzV9Y3ofIeObvDaHPo92yn721kIrzkhpPDxRRUXhTn9KF5DU1070Hag25NDyNQT2/etMvLHxW83mGf6r3dg9nTt8XWYbej25FC5LZPK7ccQZAL+oxJRjp9E5HVJdUUfe3d7wVMfQaFAERRwUskGBVBrg5XsduxaHY5yLfYyLUpzAdrNGZgLKzEXViEo5KijAvCMDsQzJhDPmCC84oJQR/i7LT+nAIIgEDgumYCxfajcfowtH69i04eHmXRL/3a5rnrSpjoZiAdyjw/WG5ALgpAqSdLw1hZetaGG517X8uHPoXj7nJ4nbPSjFYR8XtMg66hyqgdZnzRsp7D6zxr++3All17jg++CKcjkXS8GRYfE9i+PsuXjI4y/oS/GqWd12YXFpjeR98UmytceIubycdiHTkOQd+3TtV1vQLfkLxzaKqzH8vAaO4yYy27CI6zr3G5NodB4tykup61CyCM53rk/PSRwJFFEfyCfpOPWG43B3EDcSMC0X+/E4qK4LWuFAe3Wo1RuPYp+fz6a5DACRicRdPsNKCJCT2+Xdy9GUChQhgahrJcZpjn+T5IkRL0BW0k59uIy7PpcSv7YiymnAlulEXV0IF7xwXglhKBJCEGTFIIy0Nv9XfdCBEEgcEwSAaMT0W4+ytq3VrFp8WEm3z6A+NGtW+Z7UuB8AHxb7/09OAXPza0tmJVr48pbnengUbGnp99bmWMl9POauveiHA6sCcUed+L50mQSefXpKrauNzP31Yn4D+7awnm1lB/Ts+yxXSg85PR/7WpqIgO6JPVbcoiU/LGPvM83EjghhbCn7sHh3bW9qkSLFeOWXeh+WYFYbcRz+ACS7ngMmUfrz/XtjZdxZXxNW4WQlyIMfcHBTm2rM9iLy1D4eKIKcD6ryx0iv09L5Yztx/Cw2Zn+613QyRtRTW4F2k0ZaLdkYMrXEjAyAdmQMURcfiUyjRcS0NmoNKXFwvV/bWBMRhbeFht/DU/FrFRy1q6DPHbZXI5Fd68QPp0QBMFZ3dvPB1ISgNH4Ar44f7+2whJsBSXYKrMo3JWN8VgpIKBJCsU7OQxNchjeyeF4hPu5RU8vQRAEgsYnEziuD+Vr0/n9yTUExmqYcseAFtPLezyLqpaWYnDqM3yQWhIliWsu8eXMq08zP6tdxHOfFdNwp6l8cGo+cqNE7lP+VFzd0CWVccjKQ4sqSElVMeC+qXh4d30gsWgX2fpZBtu+OMqZt/RHP3Fml9XHqE4r4NhbK5GplWguuABVbGSXbKcWe6Uew+pNGNbvwKNPHL7xg6k+sJfQs+Z1WTZUd2RPNcZwJI2KfesJveu6btleY4zb9iCl/cPls4fw/FO/cM73i7B5KPEymKnpYG8pSZIwZhRTsTED7aYjOExWAscl40gejrpvkktiaaJKyvnstY9JLK2oc8HWP/OPhQYRojfgY7ZQe8X9asIIHr724k5v25X41Jj4+bl3OP+hW6j2Oj2ur5Ik4ajSY8stRF2VgTGjBENGMaLFjnffCLz7ReDTLwLvfpHu2J5egmhz4LtxJZs+PMSQ8+LZ/OHh3hWD0xhJkp5oy3w5BTZmTdEw8arTq5Ge/xIDCXdWArA7MwIUCvZvCUfylTd4opUkiR++MPD+q3rufNgfy7Qzu+UppCxTz7JHd+HhraD/69dSHe7XJZYUa6WRnI/WofsnG5/z5+A1ZmiX7p/5SBaV3y7FXlqBZtxw4hbegSowGO2m1dQcTceYkNRmgdNWN1FH53cJggA9+NBjL9dyn87IQw/+AMBnN3/KVe8vbLe4kRwi+oMFaDcdoWJTBjKlnKAJKfhedZkz48kFQd9XrtyEKAg89t1SPBxik+e7BNSolOxJjCE1r4i+BSV1812x8R8KggJ4Z96MTo/FVUzdd4iUolKm7D/Mb2OG9vRwugVBEFAE+KEI8AP64z3JGS/hqNJjycpDKj9CwQ87MGYUowr0xmdAFD4DovAdFI06MsBt5ekBZEo5hilnMXDMZIwlevjwcJPz9RoLTlvx9JRJK3dH4ul1esTdyMvtpE4rRll14nsqu9iLvBdPrlujq3Lw1H2VFBfYmfTsJILiu76eiWgX2fb5UbZ+nsGkW1PRTZzRJT94ySFSvGwPeV9uInTGQGST5yJzcZBpfSwZ2ej+WIvl8DEks4WgSWcRPOWsus+7svheT6I/sJuqrD2E3NLhguKd4qo33+LpPXl174/GB3P1BwvbtKxotaPbk0vFpiNUbjmKMtCboAnJ2PqMRhkZ5pLzcuEfa3j4pz+RS04LzfJhqZyzOw0B6iwzDiAnNIB7r7qAXX2TkOqJKcFuZ8/tT+JvscLxZeIXP99pt1tnef39r5m5Jw2dzc6XksQVgoCfUsGKoanccdOCHh1bb0ESRWz5xViO5iAvPIx+fz6SKOI7KBrfQbH4DY3FMybQLXh6gM0z/9e7LThtJTpOcdqIm7hbyglafqISsQToJqrI+9/JsTS7d1h45I4Kps7yZPQzM1Couj6FtTyrmmWP/oPS02m10XeR1aY6vZBjb65A7uVB8N3/h6KL+kZJkoT5wBH0y9fgqNLhM2sSkVMvpPrA7pOsKG2NaTnVsOt1yP19W5+xC7j3h99ZVE/crJjcjycfmtfiMja9iartx9BuPUrVrmy84oIJHJ+MYtIiFCHOh4DOhiOPSM/g21c/RulwtjupPcclICs8lFfmhDMyM4eFt12NvZVYLEmhYMg7T5N93f0Ix9cVX1JOdjeVMmiOV+bPZEBeEd+XlPOIJGEVBC4KCuDl885qfeHTBEEmcza8jY0ExuEpSTjKKzEfycJwOI2C77ch2R34DY3Df3gcfsPj8Qju2aKZpzunnMBRnibVvhOvLsV/raXuvc1f4MDWCCTPhsLF4ZD4+C09P3xhYNpjY4g/s+ubRkqiM0Nq88dHOPPm/ujP7JpYG5veRO7H69FuPUr89ZMxp0zsGuuQJGHak4Z+2Wokq43gsdPxGTC0LhPr3yhkmsNkKUYZ1f0BsJeu3cqiP9fVvd/TN7xJcSNa7VQfKkK3J4eqf7Ix5ZTjOyQWoe8QwudfhNzPBwkXXNgcDj548zOmHjiMQmoYTyMB1R4qFi66mh2pfTq0+j+G9OecvekAKBxiK3N3PTlhwbwyfwaPvfc1yOUsFEWemj+D3NDuqXB+KiIIAoqQQLxDAoEReF4KttIKLOlHqdx+kOwP1qIM8MJ/RAIBoxLxHdR6bzU3rsV9tHsTkgQOCRQyjr0VyLCBRQDkPOuP9oqTnwTKShw8emcFoggLvpqJT1jXB8BV5htZ9ug/SBL0f/VqqrsgQ0qSJMpWpZGzeC1B41MIe/JeLF6ert+OKGLak4but1UAhIybiXe/gV1WlO9UwJpdgGbciG7f7tqBKTgAOfBlQjDXVRgIemcVygANosWGpVRPTXY5pjwtXvFB+A6JxeuccwhIjkdQuiaAXnA4mL4njUe//51Pp4xl5v7DDaw1dgF2JMZx2QP/B508Rz6bfkadwOktzN6xD43aA2nuNDRLV3HOjv38PnJwTw/rlKIudX3SGLyuFLFmF6DI203eFxupyXaK8cCxSQSMTkIV9O9xbfdW3AKnlxD9iJaQL4yYExWkr4kAHwVZrwVSdbYa1Ce7mzavM/HE3VouuNybwKumdnltG0mS2P1jNuveTuOMa1OomTGrS+ramPIqyHzjbxxGC4G3XIsqIcbl25AkCdPedHS//A0ChIyfhXffAT3iO+9NsTyixYKtuAxlXFS3bfOxr37hzxGD2N4viScuncvh6HC29e9DYF4hpoMZyGoqkKkUOKL74T0qjICYiLoqy666eCXl5LP8uXdQ2x11gua2P9ayJz6a1LxCjoYFc96Dt2BxYVbRtn592BcbyeDcQvS9JFvp/VmTeHzBuZT7+bBk7DAiKnU9PaRTGkEmwyMxBhJjCJgEvgYj5gNHqNq1h+wP1+IZFUjgGX0IHJ9yUs81N67BLXB6GI90C/3nliKzOd+rj9nrPqs67+TeSTabxHuv6Pj95xpm/fcMgkd1ve++utTE8id2U1Npoe//rsAUF+xya4potZP/7VaKf9tN9IJxzqaYLi7WJ0kS5oNH0P2yAsnmcAqbfgN7NCiwLRWGu4ua7KOoEmKQqbqnN9lPz77NyGO5nL91D3Meu43PZ0yo+0wVE4kq5kTqf1dIv5uWruKBX1bUxcLUYpPJ+GncMJ65tOX4n87wxFe/kBPoR5mfN6UBPRPz1Jh99R4myv18KO9g09XTMdW8Lci9NWjGDoOxw/Ba4MBy5BjWjH9Ie+A75J4qgib2JWhiX7wSQ9yByi7CLXB6Ckki+bwSfHbbTkwCim5p/lJeXGjnoUUVaLxlXPbNWWgCu75ofNqf+ax4YR/DL0rAfu5sZF3Qf0e3L49jr/2FZ0wgoY/eiRjo73IBZc7IQvfzXziqDYSMPxuf1MHd7opqylrTI6ngzVCVvw/Pwf26ZVt/PPYqqQXFAATUmHB04wX90jVbeObrX1GI0kkuqAeuOJ+fzhzVIPPJ1dy0fDXXrN0GwOpuaifSnZyOqebtRVDIUacmQ2oyYXNFrNn5iIe3c+iJnxGUcoIn9yd4cn+3ZaeTuAVODzGkfwFy04nU75o+Cg7/EoLk0/RXsn6Viafv03L59T54XzKlywro1WLSW/nrub0Up1eR9OTFiH0jXN5Dyl5tJnvxWqp2HMP3kvPwGj7Qpet3VBvRL1+NtaAYe0kFfvOmExw9ukvbOLTkcmrKWtNbsrEkhwPT7jT85nTxWCSJ3Xc8SaDxRHbgsxecTVFw11bZvuGPNdz6+zoyIsPoW1CMUnT+9iSgSq1m8rP/ocrfr0vHUMu9P/9V9/cH08d3yza7g/qp5i8CD334LS98+qM71bwVnK6sWEiMJXSWhDUrH0f6VtLu/w6lvxfBU1MJmdofVZA7I6u9uAVOdyJJdfUuLFFyvI7akQQ49EMIplFNFzKz2STe/p+OFctqmP3SBHyGdb2iz9payvLHd5E8OYLkN25Arnaty0KSJCo2HCH73VUEnpFM6OP3IHOxKdteXknZO19gyylAPaQ/iTc/iEzh+tO9saBpyeXUm6w1jTFmpKMMD0HRxUJj/QPPNxA3l9+1kI0D+3bJtgS7nZWPvkJSaUWdpWbU0WxWDUrhzINH+Xtof265+YpOBwy3B5nD0aANxI5+HcvC6o24U807jyAIdXE7YWeLWA4fw7R/K3tu/ATvlHBCZg4k8Ixk5B7d40Y+1XELnO5AkuhzcSk+263s2ReB5KfgyFfBBPxlouLq5v3vRQVOl5SPn4zLvj4Lr4CudUnZLQ7WvHGQQysKiLlzLh4jE1y+DWtFNcfe+NvZA+iGK1Elx7t0/aKxBt3vazFu2IHX+OH4Jg7Cf+QZXSJu4GSrTEsipqutNZ0JWK5I34Jmwkl1slxKmFaHb82J0gdTn7qLzC6oaRRXUMifT7+Np83ewNVplct47qLZfFIv1qe7+ezlD+v+NqiU2JX/nkuwO9XctQgyGer+faB/H8Ln2zDtPkjZii1kvbWSoEn9CDt7MN7JXV8W5FTm3/Pr6qUE/FBN/L1VCMe9UQMnFLN/fzRiuJKKq5tX4RtWmXiqG11SJYd1/PbQToISvOn3zg0u77kiSRKlf+4j5+P1hM8ZiubqaxFceHGX7Haq12xBv3wNnkNTSfi/+1D4OMWj3WhAu2l1l2QqNRY0Co03vkNH1wkNcIogTcoAjEcOdmm2VEvWo5bEj7WyAmtmDsFd6Uaw2ykJ9GPyc/ew4+5nueSeG10ubuILS1jy33cJqDE1iK2RgOVDB7Dotqtcur2OMPFwVt3fcx65tQdH0jW4U827BplKiWbMUBgzFC9tFfL96zn81C8ofD0JO2cIIVNTkXueJkXi2oFb4HQVNpGB44pQlZ0o4iUBOa8GtLiY3S7x7ss6/lhSw+wXx+MzPLhLhymJEtu/OMrmT44w7T8DqRg9zeUR/OaiKjJf/RN7jZXgu25CFuO6QnKSJGHanUbVD8tRhAYRe+WteIQ2vHG6KlOpKZHQlFWm/vYkSaJ85XKMWZnUHE3v9BhaoiXrUUvHoDxtHZoJo+rSr12JIIrsvf0Jyn18WD8gmWcvnUPyB/913QZEkft/+oNRR3PwNlkIrHG6vyScLRMWLbyEP8YPd932OoHGWNOwCnIPFFTsatyp5l2PItAfJs0jdOIczAczqNq2ntyP1xM8NZWIecPwjHFbzGpxC5wuIOCHauLvqWpgHtfO9CD7g5AWe86UlTh4cFEFHmqBS7/u+iyp6hITSx/9B7vFQf/XrkEb4drsJUmUKP51F3lfbSbq4tGIo89yaYCvNa+Qym+WIlYbCZ95IZo+TcdytBb70li4NGftaEokSJKETVuOuagAa2kR1ooyrOWlyDw8KFv1B4gOQKDmaDqCUoV+/26s2go0SSlokvsj62Rp7sZjrS9e6n/W3DFw1BgxbvqH8Cfv7NQ4mkSS2HvbE/iZLfiZLCSWlvPUAtekXvtV6Vj3yCv4m8x15+xDC+bx5DdLKQr0Z+5Dt1DVQy0nmuPBH/+o+/ujqWf04Ei6DlelmrtpHUEmw3NQXxjUF7W2CtmutRy4+xs0SaFEnDcS/5EJXW757+24BU4XYI5RUtt9z64ROLguHEdIy4d620Yzj91VwYVXeBNw5dQuPzEPrSzgz2f3MvLSRGxzZ7u8aJ8pX8vRV/4ESSLk/luRwkNcJp4cegO6X/6iZncafvOmE5IwvkXh1FrsS2Ph0py1w3foaCRJwiMiBu2mNdTkZGLKy0amVKGOiMYjLILgoAF4xJ+JyssXhdobQa5AEARE0YHdbMRSXY7WkU/Vjs2ULPuRgDMmEzh2EkIHY4RassxUbt+Idt0KHFYrIVNmNXkMStPW4DlioPOp0MXsX/Q4vuYTMTdDXnsUsZMBvWdt3cM7i79FLjVM8S7x82F730T6LH6+U+vvEiSJAbkFnJmWwRvnTGHG3jSevvzcnh7VKY+73s4JFIH+MH0+4ZPmYNy+l9xP1pL9/moiLxhFyPQBp22LiNNzr12MvNxOyoWliF4Ch3+PwDRWTclCDeZkJdrLWn6CcTgkPnpLz09fGpj5zBkEjunawn3WGjsrX9pP9rYykh6/CHv/SNdabRwiRb/8Q/43W4m+fByO4TNcVm9GsjuoXrMZ/bI1aMYNI/HmB5F7dv7C1ti60fhVtFowHj2M4fBBjEfTkak90SSmEBY5Eu9hF6Lyaj29WCaTo/LyReXliw+JEHkmZl0pWft+JffQQaIXXIfc6+TCjm0Zu8NqRbRasRsNDSxOQqPXxjhqjBjWbCX80dvavd0WkST2NRI3k5+6C51Px2OPzt+4g+c//QlVI2EjAvdfPo8fpvbudOvfnn4LhSRxycYdjH710Z4ezr8Cd72dkxGUCrzHj0BzxnAsh4+hXb+S3M82EnHucMLnDkPh03S27r8VQZKk1ufqRaQOVklfLuslkeOSROJ1Zfivcl7IJaDiYi9yX2ybD7RS6+CRO7RYLRLjn5mCT2jXPoUUp1fxywM7iBwYgNd156PQuNYFZirQcvSlPxAEAc2Cy1CGuS5+yJx2lMpvfkXu70f4lPPxCAlz2bqbQrRaMRxJo/rgbmqOZaCOisW77wDCNP3x8HGdj1uSJI4dWoq5MI+Yq2/ukAtPu2k1ZX8vI2TGnGZdVE0FNhduXoJktRF45Xmd2ofGXPfHOh778fe692c/uoi0+I613Ji9fQ8B1Uae+fq3BsLGLJcz98FbyEiI7vyAuxJJ4u4flnP7XxsAsAF9PnqhZ8d0ilO/3s6XksQVgoCfUuGut9MM1oJiHOtXULktk7BzhhBx/khUAe1/mOrNbJ75v38kSTopDdRtwekgXtvM9L2krC47CsDhBfn3ts3vv3+XhQcWVXDWXC8ibpiKTNF1tThqu39v+fgIM+4fTNlw1wa51o+1cbXVxq6touq7ZViy8wmbNr9LWytIoogpJxPdnp0YDh9AHRlDaMRQ/IddjMLDCwCb2UDx/jUEJY9Cqe58NpQgCCT2m0Na0Xvodm/Hf+S4FudvTzXklmJyRKsF46Z/iHjqrk7vQ2M+OnsS9/66ArXNzoTn7iW/vUJXkvjwtY+ZknYUpSjy9/HqyhKwNyaC8x+6BYfq1MkYue24uAFYPGNiu5d3u2Ia4q630z5UUeFw2VUoZ2hxbFzBnus/ImTmQKIuHvOvEzqNcQucDpA6oRB1nqPuvQRkfBqEYYpXq8tKksS3nxr46E090x4bTdTkrs2kMFSYWfbIP1gMNvq9dg1lEf4uXb+5WMfRl3939na6/1ZEF8XaSHY71X9vRP/nOrynjCNq5uXIuuimZq/Wo9u9Dd2ubQgqD/yGjiKh3zkovU4WqxUZO8jf6Yx5CR80pc3bsJkNVGTsaFIYCYKM2NSzyNr+c6sCpzPVkOsva6zMwWfGeOQuDMT99vl3KQ7w486bFjDktUexeHi0GFTfGC+jkfUPvUSwoabBOTT8WC4zH7uNI3E9Y62RJAnJZMZRbUQ0mpDMZkSrDUTR+eOXyxCUCmSeamQaL+S+Psg8ndbRR7/4uYHl6flL57R7+25XTEPc9XY6hiI4EOZfSugkPeKGP9hz/UeEnjWIqEvGoPRr/d51KtKjAkcQhC+BaYAGKAb+J0nS4p4cU1swJyrqBE71MCUZv7TNZVZjFHn6fi05mXYu/Xw6AdFdq56PbS5h2WO7GHxuLOL5c13aR6p+XZuoi0YjjpnlMquN+fAxtF8sQREcQNzCO1EFuj5VXpIkTNlHqdy+iZqsDHxSh9Bn4lV4BUW3aCEKSh6Fw27BYbNiMxvabMVpTRh5hyVg1+uwG6pReDcft9WZasi1yygDg7Hs2kTgwovbvY6mEESRQ//3CGqHAwn4aMZE9ie23SUVrK1i0wP/w8PhaCBsJOCpi87h41mTXDLOlpAkCVFvwJpfhK2wFHtxGfbSCuwVlTgqdSCTIffRINN4Iag9EFRK5/kuCEgOB5LNjmQ246iuQdRXg1yGIiiQ6/KL6rbx0rT2xQm5Wx80j7veTsdRBPjCvEsInVCFY90f7F64mIj5I4i8YCRyr67vb9id9LQF57/AdZIkWQRB6AesFQRhtyRJ//TwuBrg96uB+PuryHw3EMMUL459FkL/6cUc/j4EMahthzArw8Y9N5UzZKQH8z45G6W66/ohOWwi695K4+DvecTdcy4Mi3NpHymr1kDmq39iLTcQ/J//Q4oOd4nVxqE3UPXD75gPHSVs+nl49x/kcneUaLOi37eLym3rQZLwHzWB5OGXIFe1LfhOqfZGrvAgf+cy5EpVs1acxhab+sLIpCtBl5vWwJojCDJUwWFYK8paFDidqYas0HgTMOZMsj5+iYBL5ris7s3BWx5D7XAKfgGo9mzbRVJlMrP02bfpW1R6UmG+d2acwYuXdl2mkVhjwnIsF0tmLtasfKw5+eAQUUaHo4wMw0sdjnLYIJT+gSh9/ZF5tP3CL0kSoqmGoQd2I+T/7JwGPLBtD8Ku/XgkxeGRkoBHSgLKqPBmHwzcrpjmcdfb6TyKQH8U511G6IQKTCuWsWvhYqIXjCPsnCFd0lS5J+hRgSNJ0sH6b4//SwJ6hcBRlNjpN7ukrlhf4u1a9u33AkEgfVXbXUsrltXwwqOV3P6AH/azJnfRaJ1U5Rv55f4deAWo6PfW9Sj9XWt6rNhwmGNvrSRs1mC8F17X4fTm+kiiiHHTTqp++hPNuOEk3nQ/Mg91p1oPNMZuNFC1fSNVOzejjowlfti5+EQkd0hABSWPavDaFI0tNvWFUU1FHrr89LrPapF5eCBZLU2uz1WUpK9GHhSA5/ABnV+ZJJF+8yN42ex1k4a9/Aha/+YFmuBw8MlrnzD+cCZaHw0OQVZbUQGLXM6F91zP/pTEzo+tEaLJguXIMczpRzEfPoa9pBxVfDQeibEEpo5FPS0GhZ+/SwS1IAjIvTT8b+v6umlXXXUzfRL6YNOWY8rLpjrvKNUrNyEaTXgkx9cJHlVMJMLxm4vbFdM87no7rkMREoTi8qtRTCxE+9svFP+yi7gbJxMwJqnL4h27i5624CAIwjvANYAnsBv4vcUFugNJIvnCUnx2Wk9MAvTj2me+s9kkXn+uivV/mzj/nUnY+/u7dpyNSF9RwF/P7eGM6/pinDHLpSen3Wgh6+2VVKcVEHjz1ciS4lyyXlthCdrPlyDZ7cQs+D/UEVF1n9XGjNRkZxI+/7IOiRxblRbt5rXo9/2DT+pg+s28BU//zmVg1VpkmoupgaZFUFDyKBw2K6LDgldQzEkCSbRaEFRdZyK2VpRR/dd6wh+5rfPnhiSx646nGoib6U/c2aK4eevtz5izK63OWhNWVc21i67kkk3/cNsNl2Jrh5Wk9eFJ2ApLMO89hOnAYazZ+agSYlD370PE9AtQR8a4RJw3hd1oYMLn75GjVLJs4nQStWXsSExGAFRBIaiCQvBjFEwDu15HTU4m1aVHMW7+B3uZFmVMBKq4KFTRESRu243JQ4U4dxqaZavdrphO0FSwtjuA+wSq2EiUt96Mef9hcj78leJfdxF/8zS8Yk9dQd3jAkeSpFsEQbgNGAdMBk56hBUE4UbgRoDwqK41nQk1dob2L2rgcrH7COzfEIYU0PYOrmUlDh64tRxvHxkXfz0LT9+uy/qwWxz8/eJ+sraU0ufpS6hJiXBpbRvdvjyOvrgc/5EJBD9yt0tcG5LNjv73NVSv3uIs1tdn4kmmet+ho6nJzsSYkY5+z/Z2uWasFWVUbFiJ4fBB/IePYeC596E6HjTcUsBva9Qu67BbKNrzN0CTYkep9j7JfaVUeyNXqijau4Lokc5g0/oZWfYqLUo//3aNpyXqW8Dknl4UrvgO39lTUYR0vmO4f3UNPiYzIiADRv/vQUqC/E+aT2Uyse7hl4nQVZ8UXzPv4VvZlxjLmmEDOz0ecFoCLZk5mHYdxLT7IJJDxHNwP4JHTMXrgiRkXSge6+O3cjmflRQyADjPbmfObQ82O6/C1w/fQcPxZThMBofZjKUoD3NRATUZWTyrN/CgICD+tpJn/XzQlFVgeucLZF6eyGpjgRQKkMtOBHRLgCgiiSI4RCSHA+x2JLsDqfbVZgfHifd184kikkMESXL+q48ggExwFgWVyxHkcgSlAkGpdI5DpXSOSe3hDLj2VDvH6e2FzNsLubcGmbemzkLV3TQVrO0O4G6IIAh4Du6HOjUZ+e6VHLj7a0JnDCTmijNOyficXlUHRxCE94A0SZLeaG6erq6DI6t0MGRoodNsLsChX0IwDW1fcaTd2y08uKiCCy7XdHlV4orsapbcu52geB98br7QpbVtRJuDvM83Uvr3AfyvuAjPIf1dsl7L0WwqPv0JZVgwEVMubPGm3l43lbW8lIr1f2M8egj/0ROIiZxQl+JdS/H+NeTvXIZfdH/iJ17aLpFTu2zEkJnIlao6cZO/cxnRI+e0mllVX1zVXy6oz0j2//ICfe57uoHQa2r/23pM6tfHsYfIMW7dTdiDN3cuGFySuObvTXw609mR+/yNO9kwoA9lAf4NZvM0mfjl2XcaxNeA8957NCSImc/8B9FF7k1rZi7G7Xsx/bMfmY8Gz+EDCYgYgkd4ZPeb2CWJDU/ezafAtcDT8y/nr6EjOr1ah9mMXV+F3VCNo8aIaDYhWi1IdhtWjdUpVkTntVw4LkSUBiXIZE4hIleceFUo6r2v/UyGIJM755fJQHAKpjrNJB3/T3IKJ8nhOP7PjmSzIdqsSDZnwUmLugbJZEasMSPWmBCNNYiGGhwGI6KxBpmnGrmvD3J/X+QBvsgD/FAE+iMPCkARHIAiKMCljXibqpsTIgggSZSBu5ZOCzh01Vh/X4JuTy4JN08lcEJKr3RbnSp1cBQ4Y3C6D7ODhFu12ANl5L0YhBggp/wSL5RlDo59EtquVUmSxDcfG/jkHT0znhpL4PiuLUZ38Pc8VvxvH5NuSUV35gyXnng1uRVkPL8MVbA3oY/+B7lv52u+iGYLVT//iWnnfsJmnod36pBWx9zWoFqrtpyKdSswZqQTMOZMkgad3yBwuL6wCEoeRXVxJrr8dCoydrQr3bu+66lWGLUlJqeW+pad+stVFx3FMybhJPHRVFp4W5uH1mZNecYlkf/th4Q9eEunM9223v0cETo9kgA/jx/BzxMaXlPmb97JXb+u4oczhtOvqBQ4EVz31cRRPHLNhZ3afi22whKMW3Zh3LoHmVqF1+ihxF55K6rg9v1mXc1vb/6XEOBenPvsCnEDIFerkavDT2okWx9Xxqx1FZIo4qgxYjfocVTrsVXrMKHFkpmLbctu7IXFiGYLcj8fFKHBKMNDUIQHowwPRRkRijyo/XFSTQVrLwgOQJAkvqqocgdwt4DczwfPy65CGH6M3M9+pPTvAyTeNhOPkFMj5qnHBI4gCKHAVGAZYAKmA5cd/9cthL9YScRbhrogR81eK4dWRJD3v/b7HE01Ik/fX0l2po1LP5uOfxemgNvMDv5+YS+5/1SQ8twC9EmhLnNJSZJEyfK95H62gdirJ2Ab7Jru4qYDR9B+8TPqlEQSbrqvQ20JmsKmr6Ji3d8Y0vbhP3o8g857EIXKE5vZQFk990/joN/4iZfWCZ720JzrqT2Wm6bcWGUVB9Ekn7CQ1d6sNCnOYOD6aeFtTRVXaLwJGDuJ7K/eIHTWJNa+9XmnYg223fU04XoDAE9+u5TvJ544dpN2HeDTt7+oy9brV1iKwUOFXSZj4W1X8U/fzj+3iMYajNv2YNy4E4euGq+xw4i++DrU4VGtL9xF1BcVwaKDFG153WdPzJrfrWNpq/DtSQSZDIW3jzNT8Pj35n/8M+2m1ZRlZBE8bTY+A4Zi05ZjrSilprQY095D2AtLEC1WlJFhqGIiUMZGOl9jIpGpmg8faDJY+4JZAKdFALcr4ozUfRPxeOg/sOl39t7yKbHXTCTsnNYfUHuanrTgSMDNwHs43fg5wJ2SJP3W1Rv23mCiz7XlyGz1BiOH7Jc6FpuQl23jnpsq6DdQybyPuzYFvNYlFZzoS/Lr17nUL2rT1ZD5yp9YyvSE3HsL9ojOCyexxkTld8swpx0l4pyL0fTp55KxOkwmtBtXUbVrKz4DhxLWdzwhkeNRqJw/4MaCprGVpS2ixBW0JWbHYbNgzEgndOaJTtst3azakypevOdPZF6eXOjv26lYgz8ee6VO3ADMfuRWTGoPXlj8HZds2QXQINV73YBkFt10GXTSYiRJEpbDxzCs345p3yE8B6YQOnE2XokpLqu71Bnqf0971vxZN92kUPDd2DO7dSydqZHUG6g/foXGG1VgEJo+fQmoN4+jxoiltAhLSRHGrDwM67ZhLy5DERqMKsGZFadKikUZEdrg/Giqbo6AdFrU0nFVnJGgVMDkeQT3GU3p199Qsf4wfe4+G49Q1xULdTW9KganLXQqBkeSSJlXgve+E8pGAooWeVN8b0Dzy7XAhlUmnrxXy413+iKbO7lLFW3an/n89fzeLnFJ6XbnkPHi7wRP7od8+nyX+MBN+w+h/exnPIf0J2LcPGQenW/0JtrtVO3YhHbDKrz7DiAueSbaY7tPioHpTCCxK6mN2QkbMBmzroTo0XPR5aY1GG95xnbKSvYTffn1dcu5wt1Qk52J4av32QF42R0djjVY/vhrDKxXsO6yuxZy/uZdXLhtz0nxNTVKBSNffogaTecsdA5DDcZNOzGs24Ygl+M9aQxBMaNcZvlzFfW/p4wXH6s7HqPvfRK95tQw45/qiDYbltIizPk5GCqzsR7LxWGoOV5vKB51SiIjkCgOCaLcz4dgXTURlToESaIw0L/BtP3xvby3WTvoyp5dksOBsOUPCn/eSfxNUwmZltqj1pxTJQanS/E4YsPzkFPcSEDNAAWHl4SCR/stLqIosfhNPUu+NjL3lQnIh3adadNudbDqpQMc21xC8jOXok92TWE9ANHuIO+zjZStPIjfVZegGJjS+XXWmKj8dhnmw5lEzF2AJjG50+uUJAlD2l7KVi5HFRxGv5k34xngFLpNxcB0l4WmNWrH5LBb0OWn4xOe1GC8kiRRdHQjwdPOabBcZwr6gfPGW/jbl/RbcC7iig183MFicRdu2N5A3Hw4bQIfv/kZnvaGrUryAnyZ8uw92DuZ6m3NLaR61SZqdh3Ec3A/ImZfhmdMfK81hSs03gSeMYWrt65jc0Iy47My2BqX5BY33YhMqcQzKhbPqFgCcPb6shuqMeUeQ19xFO2XS/ijXItHnwTUqX2wDkimLC6qwTn1b6yl05WFIgW5HCbMITh2OAWffknV9kwSb5+Jwrt3dSv/11twPA5Y6H9BKXu3RyL5ycEiEn9nBXmP+eOIaHvad32q9SKP/6eCKq3IpBem4R3SdV9qVYGRJfduxyfME/9FF7n0BDIXVXHkv0tR+HiiWXC5SwKJTQeOoP3sRzwHu85qYy7Io/SvXxAtFuKGzsM3svOCqSW6wvrT3Dp1BYfI2b2U+JvvcZnLRRJFcpcsRhkZSsDFszln5z4ee+9rPpbJnLEG/7egzab46JIKrlu5nmtWbz2eWSiwoX8Sk9KOYgd+HTmE/9zcyadBUcS0O43qvzdiL9fiPWUswYlntFjR2RW4Kij3o0/fZXx2Bt8OGQlyBU/Mc00LDDeuw240YMrORF+ajulgBjgcqAf1q0uJdlVV795GZ377bUW02rD//hOV24+R8tBcfPpHunT9beG0s+AIlTYGTi5BWeUUcINHF3Lk5xBMA9RkvxvS4fVmZdi4+8ZyRo9XM/a/05Aruy4O4Oj6YpY9votx1yZTM/Nslz7Flq87xLG3VhJ9yRgco2Z2+uYqmi1U/fA7pn3pRMy+FE1S306P0V6tp2zV7xiPphM85WyiA0c1GGdzoqE905ua1jh+p6vcXZIkkZe2gqAzp7s0nqTkwErEmhr8z3cGUnakb8/bb3/BjH3pCJKE0iGesBhKEt9MHMUbc6ezMyWhU+MUTRYMG3dQvXIjcj8fgoZNxqf/IOfTYSdpi3hpa1BuS+sakXmE8dkZAFyydyf9n3il3eNw0/UoNN74DBiCz4AhSJMlrOWlVJUdoHrlJioWf4dH30S8hg/Ac2gqcu/e5QbtDN3Rs0umUqKafyk+sQdIf+wnoheMJWL+iF5hdf33CRyHSML/VeC/wtzAjWMcpMKU2jnz+Zq/anj2QWfLBdvMyZ1aV0uIDon176az/7dcEh+9ANOAaJe5pBwWG9nvrka3J4eg269DjO/8ui1Hs6n46Hs8+sSRcMN9yD07VxFUcjio2LAS7cbV+A4bxeBzH2iyV1RzDSzbM72paY1dXs2tz2Y2UJq2CQSJ0P4TWhQ/Ta1Dl3cQ0WrBZ8DQNh2XtmA8lkH1qk2EP7KorqBae/v23PH9cubsOtBgmjO+Rsmcx27jWGTnyh84qvRUr9qEYf121P2SiJp/FZ7RrqmMXUtbxEtbg3JbWtcXX7xX9/cvA4Z1aBxuuhdBEPAICSMsJAxSp+EwmTBmpFG1by+V3y7FIyEWr9FD8Bo+AJnm1O6y3Z09u7yGD0QVE0nZ4k+pTiugz3/ORu7Zs5axf5XAUWTZGDS5uMEN2xokcOi3UOzRHT/QoijxwWt6fvvByLmvT8Q2qPOVYJvDqLXw64M7kETo+8ZCVAGue5qoya3gyDO/4pUQQvBDdyHz7Jz7SLLb0f26EsPGHYSffRE+/Qd1foxZGZT8/jOizY5kt+Fl9W62EWZz9WfaM70t8Tu1n/nFplK8fw1+sanoctNw2KwU7V0BgFzhcVLMT33Lj19sKtXFmfjFpgIgOuzk7FlG6Kz5LrPe2KoqKfz1S4KvvxRFoH/d9Pb07Xn4m6XcuHJj3XsJsMlkLLhzITsGdM41aCspR//nOmp27kczdihxC+9CFdg1sWttES9tjXNqbl1fffBqXVq8BDx0weUdGsepzL/BQiX39MR38Ah8B49APMuZ0Vi5bxeV3y1F3b8PmnEj8Bzct8tae3Ql3d2zSxESSOA9t2FZ8h377/iSfk+chzqyYwk8LhlPj225C7BHnpA2EpD9SiCVF3ROIFTrRR67qwK9TuSSL2fiHdR18TYF+7QsuXc7A86JgYvmOUuiu4jSFQfI/nANcQvPxDpgyknmw/bWSrAVllD+4bfIA/xIuPHeTsdL2Kv1lK74DVNuFnHD51GjLaSo6m8Qmo8RayqQuCV3UlM9pGrXYTMbGrRNaGo7tRlRtUUCI4bOIGLITBCkJuvp1LfaAHVBxp6Dwsgr2ogqIAjvZNdUhxZtVvJ/+QTfGRNQp/bp8HquWre17m87kPrmE1g62aPHml+EfvkazGkZeE8ZR+KtD3b5zbCzQdqtrcvXaGBEYV7d+89GjUdqQqi2dxynmmBwtYWqtf3v6uMjU3ngM2AoPgOG4phhojp9L1UrNqD9/Cc0Y4ehmTgKVVTXVdL/NyAolXhcdDmaPSvZf+dXpDw0F7+hrrXQtpVTW+BYRfrOK0X0gIxfw8FDgW6qB9ZwOfnPBZ7ozdJBsjNt3H1DOSPHeTDu+bO6LN5GkiR2/ZDFhnfSib1jNsIZrguidZisHHt7JYb0QoL/83/YopvOwGprrQRJkjCs3oLut5X4n38WwQnjm/W1tuViJIkiVTu3ULH2T/yGjaHP3HuRKz3wDk9ErvRoUyG+ptofAE1mUbXXrVWf+pac2myoltxSzVmMrIZKtBtXE3v97a3uW1uQJImC1d+jCAnEZ9akjqwAHA5QKJjz8K2seOJ1Pp88hsevPL9T47Jm56NbthrLsVx8Z0wgatolLgk67w2899Xiur/tgsDzsy9wyXpPNZeWqy1Ure1/c593hfCRe3riP3ws/sPHOiulZ26h7OXFKEKC8J4yFq+Rg05Jq053IAgCjmEzCFAncOS5r4hdeCZhs7q/xtApm0UVc28Fwd/X1FUh3n0kAjxcd7JtXG3iiXu03HKvH9LZk1223sbYzA7+fGY3xek6oh++GM8o17m/anLKOfzMr3gnh+Nx/qVNZgq0p1aCQ1dNxSc/IBqMRM25ElVQy8Ha9XshNXWxMhcXUrL0ewS5nMThF+IZEN6hgN5ay0r0yDlNNr6sv067xUjuliV4BUUSPsg5poqMHXVup66umyNJEoc2f4w6Mobgya4pC19ycCXGrXsIe/DmdmeD3P7r39y5dBXbkhPY2jeB1+fP7PR4LFl56JauwpZbgM9ZkwhJGo9M+S/KUpEk9jx7P2q7s5P64If+i9VFjTxPNQsOdH7M9ZcHOmTBae1a4yokhwPD4YNU7N+IrbAE70lj8Jk8Fvm/LMXcldiKy9C+tZiQqf2JuWpClwQf/2uyqOR6kaFJecjsJ6ZJCsAKuOAaI0kSn75bzXefGpj7ygSkLqxvU5Vv5Kf/bCMo0YfElxe6NCCrbOVBst5fTdzCSVgHNF+AsK21Ekz7DlHx6Y94TxhF+PCz25Tp0tzTnWizUrFuBbpd2wmedjbRQaMRBKd1rC2WlMY07g/VuNhf/VgZgOqiDKqLMlCqnRel2u01JY5cTU7+GmqyMgmZNtsl6zMcSaN6xQbCHr613eLm49c+Ztr+wwCcceQYQfrqTgkca3Y+Vb/+jS2vCN9zJhMz5xpkypNLMZyKN/FaFDYrW//3GG+eOZObN6xk+cChLhM34FrXWndRa1Wpyc4kfP5l7f5OG1tlWtr/5o5Pd8U6CXI5PqmD8UkdjKW0mPKDayl85GW8Rg7C96wzUYZ3PEP334oyPITg+26j8t0PsVYYSLrjLJeGX7TEKWfBGSkI0s7jf0tA3uO+lC/0c8m6TSaRp++rJC/bxtSXpuEb1rnYg5Y4tqmE3x75hzOuT8E4bZbLVK1otZP1zip0e3Pxv+FqVDERrS7TUq0EyWaj8oc/MO0+SOS8y/GK71xPoZrsoxT/9gPq8EgSB81H6eXbwMICuExk1HX+HjrDOUESCEwaijZzT13mU/3t1Yqr+p3CWxpDW61NtfP5RvUlbelrIDrQJPcn+vIbOrV/lpJCcr98l5BFV+PRp+0+bqXNxu47n8LHbK2b9uuIQdx+yxUdGoc1vwjdL39jzcrD95zJBCeMb1LY1OKKp+2eEkm7nroHL1FEBC6/8CpW6bSnpFBzJXajgeJfvsGYkd6h7/RUFrzgHH/ZoXUY1m5F3S8J39lT23TdPd0QzRaqP/oYuZeKlAfmIFO5zr7yr7HggFPYGIYpyVgS1uk4m1qKCuzcfUM5SSlKZn/Ydf2kJEliy8dH2PnNMRIeOp+awTEuSwE3F1Vx+OlfUUf6E/zgnW3OkmquVoKtqJTy979GERpEwg33IPfseMqkaDFT+vcyjIcPEjfqfALiBtZ91thq46oKxPUtO7XbkCtVRA0/q4E4aZwe7rBb2mRFaqu1qXY+ZeYW/EedgU1bTki9vlMdwV6tJ+/7jwi4dG67xI3GZCZt0eMNpj28YB5fThvf7jHYSsrR/fo35vSj+M6aRPQ5V7bJFeWKp+2Oxqq09Wba1HzXbFiJlygCzr5bq6q0lK08deJlugqFxpvw+Zc1cDO1d/nOHr+eDE5WaLyJGDEbceB0yo5uoPTVj/DoE4ffuTPcAcn1kKk98L3xBoxffMqhJ3+h3+PzXSpymuKUEziSAvYciETydJ0A2bPDwv23lHP59T54XXxyhpGrsBhtLHtsF9UlJvq+dq1LW85rtxwl89U/ibpsLI4RM5vdh6aypRrXSgjXVmHYsIOqH/9oNZC4LRgzD1P82/doEpMZOPdeFB4NLWPNpXW3h+a6dYcNOBNLtRabpYaIITNarG1TP6NKrmg9wLmt4w5KHoW26iiiyUToWed2vqii1ULeT4vxnjASzdiTa6+0hNLuQMTZ3VYE+r77DNYWOjE3hb1Sh37pSmr+OYDP9AlETb0EWTtaNLjihtZRkdRWYXTSfJLEA6t+r/t8bWJffIeNAuHfmwLeHnratdbR4GRXIvPwIGzAdEKSz6QsYz2lL32I58AU/M6diSK451KlexOCUoHm6msxff056Y/9TL8nz0Pu0bGOAm3hlBM4pv5Kl4qbX78z8OYLOmY+NQbNhK5T29pcAz/esZWoIYEE3Hmpy5Sr5BDJ/XwjZX8fJPDmqxH7xLdoEWoqW6p+rYRSlYpDf2/ElldE7FW34hHa8WMiWsyUrvgN49HDJIy5EL+opjuJtyVVuzVqBYtZX47SywdjWR7mqmJsNXqQyZAcdgSZHGN5HmEDJp5U26Yj22xrmrpZV4qlKJ+4G+/qtLiRRJH8379AGRmG79xpbVxI4j9L/uKLKWMpC/Dn8yljGZydz3kPL2qXBVQ01qD/Yx2G9dvRTBxF4i0P9ljzy/o31PY8nbdFGNmNBkSrlcBJM+vm2/HsA3WfS8DNV92EQpJOa8tNR+kKa0pr32t31iOSqVSEDZhOcNIESg+spPipN/A+czS+s6d0uvbYvwFBLsdzwVXw9eccfvIX+j1xXpdZck65GJxOdROvh90u8fpzVWxcbWbWq5MJTui6KPjMTSUsfeQfzry5P/pJnc9SqcVWVcOR/y4FScL76qtb7CXVlmwpa24h5e99hUdKApETL0Cman/Qc+3FSxkYQtlfv+KV0IeE1HkoVA2tNk0JgfrZUG11UzlsFnR5aZRn/kN1YQaeAWH4RvYlRIzAWxOOh9oPu91MUfEuQoL6o68u4Gj+SkL7jyd84OQmt9necZh0JeRvX9pkp3CbqZqDv79G2JwL8U5JbefRbIgkSRSu/xFbcRmhd17bphTVwKpqdt39DAKwJy6Kcx9rf2q6ZLNRvWoz+j/X4Tk0lbBRZ6P09W//DnQRrs6gaby+oceO8u3n79R9ftYt95IT6o6x6CjdlfHUW7DrdRRvW4b5wBH8LjgbzRnDe0Ubg55GcjgwfvYJCAJ9H+5c3bd/VQxOZ6nWiTywqAJJkrjg87Pw9O2aFFZJktj6SQY7vs4k8ZEL0A+Mdtm6qw8XcfjpXwmZ0h/ZtHNbzWpqKVtKkiQMa7ei++VvAhbMIziy464i3T9bKF/9BzIPDxInXoF/TNM39VqLi8NuqXMHNeXyabJ/lMlA4Z4V2K1G9PmH0YTEEemdSvDY81ApT7YoqJQa4mKcXYa9vILx949n2643CUwcftI2bWYDDpuViKEz2uwyy9++FF1+OgDxEy+tW58kOjiy9Qt8h4zstLgBKDnwN5aMbMLuv6lN4mb8gUN8/eonde9T63UFbwuSKFKzbQ9VS1agiokg9qpFeIQ42zT0psBQTcoAarIz0aQMcMn6fIeOxmG1Ilqt2I0GXv/pi7rPinx8T2tx44rv/d9e3bkxCl8/omdcjql/DsUrf8K4YTsBV5532sfnCHI5miuvQf/Bh2S+sYKkO89yufA77QROzjEbd11fzrgz1cQvmoZM0TXpajaTneVP7KYyz+DyeJuSP/aR8/F6/C+/APmIga0vAOSEBfPK/Bk89t7XIJc7s6XmzyDbxxvt+19jKyoj7prbUAWHdnhc5qJ8dHt34hEWSfL4K1H7OdfVlEipC+i1WZsMMK5L8bZbKNrzNwChqRPRHttNwT+/YzPp8Y7oQ3T4WGKix50kbKw2I0XFuwgO6kd5xSEiwofXzaP28MMnog+G4kwCE4c1SA+vyNhB0d4VRI+cc5LLqrlsr+jRcwGIHj23gdsqM/1XBLmC4CmzOnxMaynL3Yph7TZnrZs2VBZe+tTrDM4prHtvlsvp994zbd6e+VAmld8vR5DJnNlzcYkNPu+pgnRN3WCNRw5izEjHKz6pToB1dF3gdH/JVSrK/l5GgNVKiZ8fXnYbnlYrU+5+wtW7dErhiu+9p+N1egrP6Djir7qTssyNlP7vA7ynjsNv9pTTuligoFTgc91CKl97m/wvNxNzZcvJDhqjhffv+JKbXr8Co6b1uL/T6shu22jmkTsquPmeri3epyuq4cc7txLSx5fY5691WRCVaLWT9e4q9PvyCLn3ZpQR7RMjjbOlUtdtZ/HPf+HRN5H4q+9oUwZMUzcFSRTRbl5D5eZ1hM46lyi/4Q2WaTWg93hKdn1K0zdStOdvwgZOInLYLBw2K/t/fBZP/3CS42ZhsehwiDayc1ajUHjUWWhqKSreReaxP6msykKrddZ6qT+PXKXGatJTvH9Ngzo5LQUON269UH+fkmdc32DefO0ODEfSiLvhzk7H3RiOpKFfupylag/u9VBR3cr8377wXgNxs6lvAgvu+782bctWXEbV98uxFpQQOnk2PgOGNvlU1R1P4U2da03dYBuPpa1WhpZu1r5DR5NUUszSLWuRqz35s+9Anpp7oWt38BSkt1hfepMFsT0IMhmhyWcScONgClf9QPHTbxF0/cWoYiJ7emg9hkztgf/NN1D6wpuoI/wJmd68JfaMbZkk5FYwbnsmK6e0bhU/bQTOD18Y+PB1HWc/fwbSqK4rxpS3q5yf793O2KuSqTnrbJeZ3KwV1Rx66ldUgRqC7r+jQ8Fq9bOlFstlFP36N36XnUtwzJgm52/LDcamq6JoyVcgSqTOvgMP75MrMbckGpoK1AUQbTYADCU5WPRl+EYmM7T/Vfh4n3APWG1G5HIVEeHD6yw2tZaaiHCnyAoO6keJTxQOhxWrzYhKqcFqM1JdnInkcKA9touIoTPqqiDbLca6ppiNLTgtNeusT3XxMcrWLSPm2ls7lVoPUJObRdFv33DB1HGc/dtKfm+llQbAe7MmMe5IFgA333Apv7ch08phMKL7bSU12/bie/Ykoudei6yFJ8vueApvi5hpaixttTK0dLNWeGnYvG+nM2DfbGJjSj9s/6ZqzG2gqd9/b7G+nGotLRqj9PUndv71lOdto/SlxfiePQmfmRNd1ni3Odrbc7C7kPv5EHDrQrJefh91VAA+/RsKvsefW8rErUfRWe28CNz8wnIeePUvNoztw5MPzW12vT0mcARB8ADeAaYDgUAm8KAkSX+4cjt2u8TLT1axY7OZiz+ZRkBM16n9PT9ns/bNNOLunotpVKLL6tvoDxZw5JlfCZszFCbM7vCPYF9CjLNw3+c/YT50jOirb8MjrOl4gvrFu6DpG0x12j5Klv9IwJgziYuZctK4mqo105bieKLdRk1lAQAOm5kRg29A49VQlNZ3QRUV78LhsJKdsxpwWmpqRU5R8S4AsnNW14mhg2nfY63WoowfSvTIOXVtGuDkeJqmGnPWUv/v2v3yDk/i6PrPiTh/QbvcJU1hLi5E//m7/IzE6KWreBF46MNveeHTH09qpXHf978z9cAhZj31H9YO6c/bsybx3tmT0Hu3nOUk2R1Ur9mCfvlqvEYOJuHm+3vNE7Hv0NFIooh3v0E4aowICgVyL02r2VNttTK0dLNe+fITdb9fCfhr4PAm5ztV6IjFozeLiN5iSeoMgiAQEjsW/+tSyF/+Beb0owRdfwlyn677/bW152BPoIoKJ+Dqizn89I8MfvMqVEEnjsPiqyeQfKyUbwoqeRgJmyBwWagvi6+Z0OI6e9KCowDygElALnAO8L0gCIMkScp2xQZqg4kFAc77dBZqn67JtxftIitfPsCxTSX0ffEKPGNc196h5Pe95HyygYCrL0YY0rnO0/bySsrf/RJ5UADx1/4Hubp5K5B+z3aMGelokvuf9LTsP3oCpX/9Rk3mYZKnLMQ7JK7uBl+/p1NTrqnG0+oLHoWH1/EYmz9Q+4cSEz2euNhJTQYON3ZBBfgnER83tc5yU3+e+LipJCXOqhM8lVVHUai9CR84CaXauy5rCmgQT9NSIb/GQq12XpmnhpCpZ6Pp03RKfFuxVpSR/+0HJF94NqnrtvFxC600tt79LBFVegDmb/qHX8aP4H8XndPqNkz7D1H53TIUgf7EXtm5kgCdQbLbqck5RtXOzcjUntj1VdiqtNir9Uh2G9qNq0EQkOw2QEAZEIQ6MhrJ4aD6wG4cVitylaru5t0pK4MoMjA3m2jDCUfgTZde65od7UE60k6hN4uI7rIkdYcrTBkQSPxliyjeuZzip94g+P8uxyPJtd2362fRtvSg1NN4DumPh3YwR577jQH/u7Qus6ogKoDFV03gtud+Q1LIWChKvHnVBAoiW64v1GMCR5IkI/BEvUnLBEHIAkYA2Z1df36unTuuKWPMRDUJt3VdMLFJb+WXe3eAAH1eXYjC2zV1DkSbwxlvszeXkPtu6XSPE9PBI1Qs/g7fWZMI7T+1VddZ/Ytb/R+2payEwh8+wyM0ggHn3FWX/l17gy/P2I5ZVwo07L5dW2umsZundjmLQYuxPA8BgYHJF+LvF9/i+Oq7oDIArfYwgkzR7DzlFYcACA8bSk7hRmLHnn9SwHOtOIufeKnzs1jq3FWNaSx+AhOGUZyxCe++qfiPOqNTF0abrorcb97Db950aiaN4ZUA35OCw3NDgwitrGLT/S+gcognFhZaL/tgKy6j8ttl2EvLCZt6LpqU1G5NWxXtdky5WdRkZWDKycRcVIBM5YHDWI1fdH8i+03AwycQpZcfcqW6wdgcNgsWfRnGsjzKSvYiKJWY87KoOZYBuMDSIAj88OlbdW+rPNSs7zeoc+vsBfgOHU1NdibGjHT0e7a36Ti1JCJO1RiY9tJdVixBLidizDwMfokUvfkZ/heejfeEjmezNqatPQd7A8KkuQhp75P3+SZirz0RNzlt3SG81Up8rzgD7y83M3X9Idae2bfFdfWaGBxBEMKAFOBgZ9e1e7uzMvH1t/sin+easv9NUZFdzQ+3byVpQhiKK85zWQMxW1UNh5/+BbmXR4fjbWqRJAn9H2sxrNxE1HlX4ZXQp03LNXVx0+3ZQdmK3wieNvt4g8wTN56g5FFUF2eiy0/HL7p/g8aXtRaS6uJM4ide2sAa4hvdH89ju6nM2U9K3CzCQocgCMJJMTXQfGZUar8LSDv0E1rtYYqKd9UFE9emh+fkbSDz2J8AOKIC8PAJIiB+cN0YasdZsPtPivb8jcNuIWrYLHS5aejy0/EJT8JzUEN3U32hJokOju37Gc/YBEJnnQd0opWAoZrcb97FZ8o4vCc5Y6OaaqVhVCr5/I1PGyx71qO3cSi++VIEosmMbukqjJt24nv2ZELPXdjhDI723uDs1XoMRw5iOJxGTVYGck8vvFMHE91vBt5nxiE67G3q6yVXeuAVFI1XUDQh/cZh1pVydMd3KINC8HGBG2nBlvUNXFPj7n+60+vsDbSnnUJbvtvK7RvRrluBw2olpIkswXafH71UMLnKitXW/fPuN5DYoBDyf1iMragM/wtmuSQup7ks2tzQrmsm3VEEmQzvK66g5JlX8RsRj99gZyHary4ezSuLplMZoOGvaQMIK9O3uq5eIXAEQVACXwGfSZJ0qInPbwRuBAiParney/Kfjbz6TBVnPTMW+Rmdi4Foiaxtpfz6wE4mLeqPboLrivcZM0s59MQSgqf2Rza1c2X9RZOFik++x6HVEbfwLpR+/h1bj9VKye8/Y87Ppt/Mm/EMODluR6n2PilmBY7XlbFb8IlIRpefTkXGDsIHTUESRcoObaZwzwqCU0aT4jcRhdyjTsQ0jqkByC/YSnbOarTaDCqrMus+qxU5tYKoPlabEavVQIB/EgF+Cez952uSplyFIAgnxwNJx29tx1/bEhwtSRJH936PaLcTfdHVOEw16Pdsr6vJ0p4Lo6PGSO637+E1egi+sybVTW/cSiNCW8WyZ05YGao9VIx65WFMzbgcJVHEuHU3uh//QD0whYSb7kPh49vsONpyMW6LgLMbqqk+uIfqg3uxlBSi6dOP0IihWLyiKdzzF1J+GV4TpyFXqpEr2949vj5qv1AGTL2FIzu+omLtX4Sfe0m711GHKOJnMSHh7DX12NnnIcm6piddT9BWt05bvluh0WtH1tGZ+buSxue/K8bTnv3zCAkj/po7yfv5IyoWf0fQwotckkreXM/B3ojczwf/Ky7i6ItLGPLeNSg0Hhzqe+K+UxmgoTKg9SrqPV7JWBAEGfA14AucK0mSraX5m6tkLIoS772i589fjJzz+mRCkpq/gHeWXd9nseG9dOIfOA+/IbEuW2/FxiNkvv4XibdMx9yn5eCp1rCVlFP+1ueokmKJnHRRixkx4HQ9la34jZCZ8xoEx1rLSyn4/jM8wiLoM+RC5Mq29xyCeh2963XottXoyd70PTK5kgExc9FoTqS711pb4uOm1gUF11pwjmWvIjtnNTHRE1CpvBt81pimhJImJBZP/3CiRs521tg5nh5eV3W4jd3Ba5EkiWNHlmHKOUbMVTcj8/DocJVWh9lE7rfv4tE3Ef+LzmnVZfTbU28wOKeA3QkxnPfIombns+YUoP3qFxBFwqddgGd06779sjV/ol23gsBJM5t8OoemRZDdaED3zxbknl5UHzqAOT8HTUoqYaFD8Y3qi0zuPAdtZgPZG75Fl5/erqrVLeGwmdm35L/4DBpO0MTp7bYCCHY7O154hFIfPyo1Ggp9/bn3oqvatY7eaoVoL23ZD1c3t+xNx64rKi13ZP9Em5X8379AstkIvuVKZB6dy+IbnJVHYaA/5X4+BOuqiajUsb8Fi29vwPzDlwgKOUm3t2xEaK6ScY8KHMF5Ff8YiAfOkSTJ1NoyTQkci1niiXsqKC5wMOWl6WiC2ncTbiuiQ2LVy/vJ3FRC3OOX4RnlmgZqkiSR//UWSpbvJeDma/Do5ElnOnCYio++x2/edEL7nNmmZfK/+rAuqDj68hsAqD64l5LlPxI89Wyig8d2KE6jvmiQK9UU7fmb0sNb8AlPYkDkbDxUDX/sTbmmGn/WVPG+xtQXSgAmUwVaQxYD5t9H+ZGtTtE1dEZdFeX29qECyM5eif7gbmKvudXpCjxuuTEeOXjSjb+li5tosZDzw3uoYiMJWHBuk8d5dPpRvnvpQ34fPoBbb70KpdWKIElYm2ly6TDUoFvyFzW7DjgbpsaOa7M1sHzNn1SsW0HQpJltLlJoLsyjZPlPmAtyUQaGED1oJv6xA5Ermr4o28wGStM3giQQmjq+Q8e/dj2151fG1i+pycro0I1p1UuPE3U8sPib4WN5ct7F7R5LT7QgaHxutXSu9SYR0RG6a/y94TjVjWHwSIo2/YqjSk/I7dd0WuScaog1JkqfeImUh+fh20IngN7aquFdoD8wvS3ipim05Q7uvqGc8Cg5Z707C6W6a0zKFqONX+7fgcMm0uflhSh8XBNM7LDYyHz5D8xFOkIevB25f8ctT5IkUf3XeqpXbCDqgmtOqj7bEiEz59W9Sg4HZSuXY0jfR8q0G9AEx7SydPPUunKM5XlkbfgWtW8Q0WGjyMlZSwHBJ1lp6rdVqE994VPrqnI4rERHjSW/YCsAYaGD64RPrasqInw4kuhg+953SZh0OQoPzyYDnZsTOc1ZdXIK16Pbu4PYaxchSVKTKfW1tGSeFq0Wcn/6AGVkGAGXzWtS3DzyzW/csHITAHN2HeROux1bM33CJFHEuHEnVUv+wmvkIBJvfqDdtXj8R09AdjwrqSVsVZWUrvgVa0UZjpoaVIEhhKZOJGLI9FYFi1LtjVzhQf7OZciVqg5bcRoEe8eNI69K2+54iTm7t9eJG4Cn5lzQoZtcT2QdNT63WjrXepMbCNovJDo7/rZurzfU+qm/r9EzL6dg5deUvfkZoXdcg6Dsuu7bvQ2Zlye+F51L5ut/MeTdq5Ep2nd/78k6OHHATYAFKK53Yb9JkqSv2rKOrKM27ri2jFnzNIReNxVB1jWZILqiGr6/bQtRgwNRX3dBuw9yc1grDBx6YgnqSH/877wVmarjJ65ks1Hx2c/YCoqJu/ZOlP7tsy55hIQRffkN2A3V5H3xHoJcwYCz70ShdgqPtrhvmppHFB0U7V1JafomfCNTSA2fhSAICIIMnS6HyqpMKquySE46u0WrTG3KN4DDYa17LSreVeeC0lcXNKhaHBczEVF0sDPzU0L6jsU3whlgXb+eTf0U8aZusk2liueWbqZq2wZirrkVhY8v2k2rm0ypr6W5G59otZL782IUIYEEXnneyRYWSWL/osfxNVvqJh0LCcTWjLvRmlOA9sslIAjEXHYj6oiOWQJbu8DbqrRUbt9I1fZNSHYbAQnDsAnVGHKO4j8kEaXau03nS0sxTm2l/jpsNXoEpap9LhNJ4sVfv617W6rxRpLJO3Qz7eiNsTMWg8bnVksiq7elfVdt30jFuhWIVmubLIWdHb8rBF53WXfq76sgkxE1fQH5f3xO+fvfEHzLFV1eELA34TlyELZtGylZuoeI80a0a9meTBPPofkYtVbZucXMg4squO1+P2wzJ7tuYI0oPFDJj3duZcxVfaiZ6brKxMbMEtIfX0LYrMFw5pxOrddRpafs7c9RBAUQf8XtHeoCDmAqyKXw+8/wHTyChMSzGvyIWqoJ09w8Zl0ZWeu/Ru7h6bTaZK0lXVdDar8LkMtVVFZl4ukZglZ7uC7VG2jSglPfIlNrsam1/tQKnsCAZCTRjtVqqKtafLDsT+RKDyKGzjhpnc011qx/c258E84r34p2wypirrm1TkQ2l1JfS1M3PtFmJXfJYuT+vgRec+FJF6ygyip23Ps88nou5Bfmz+CdudNPWr9YY6JqyV/U7NyP//mzCI4d2+ELYEsXcMPRQ5StWIpNX4X/sNH0O/tWqouO4rBZqcza7RyLwynG2nK+NC6c2N4YqMbrsFRXIFMo2tziAWDnM/c3yJo6896ngJMbbnblzawzN97G51ZLIqu3pX1LjV6borWA3/aMu7MCqbnip52lLRWjBZmM6LOuIOenD6j85jcCL5/vkm2fCgiCgOf888l75X1Cpg9ol/ekp11UHWL5z0Zee7aKWc+dgW1M17VdOLSygD+e2UPcHbMxnZHsssrE2i1HOfrKHyQumoE5seXmYq1hzSmg7K3P8J44mrChszoslGpTwOPHXNgghbqWtjxtByWPwmGz4rBZKEnbSNGeFUQMnUGsrD8FhdsI8E+qS+Vu0EqhdB8OhxVfn6gms6Bq568VPtFRYxvMkxg/DXDG3TgtQpmoVN5YQ9RUF2XSb85t2C01J908m2us2fjmXHsDzSvfSsW6v4m5+mZUgSfSK9v75C7arOQtWYzcz4eg6y5uUoxsv++FBuJmwnP3kRfWMKVTkiRqtu6m6off8Rzan8T/ux+5V+uZBS3R+GYriSLGjHS0m1ZjKS1GNJuIHDaLyH5OwagJjsFmNmAozaK6KAOZ3BkT1BHrTFtEUUtYq7Uo/AKabfEgWq046gkWmcOBxmGvW/7aBTfU/V2/4aZMpWpfqn87xUJvsKzUHjPRakWmUjUZS+ZqAkZPqCvQ2Nq4oGlB0R5x2FnXU3PFTztLW/dBUCiIOfdacj5/nerVW/CZOq5D2+ut7RpaQhUdTuC4JAq+30bcdZNaX+A4p5zAKSt18N7LOi74YEqXZUpJksT2z4+y/cujJD99Kd4prqnwKkkSRUv+oeD7bQQtWog5sXMZWDX/HED7+c8EXjmfoLD2me7qxuRwULZyGYZDB+g38xY8A5re1/rNMWuL9jV+ylaqvRFkMgp3/4lC7c3wgQvxVoeTk7eB7JzVxMdNJTAwuc4NVStY5HIV2TmrSUqcdZJ7qr5rqn59G7lcReaxP+usOLXBx7XWHJVSQ+6+v+k3exEKlWeTrqjmbsJNTc8r3ULFhpVOcRPUcVEtWq0U/vQBM3IKyHzhfgyNxE1KbiFHYiNJ+vC/zNm2m9uWrWbeI7dhaRRcaCsqRfvFEkSTmaiLFjbIjnKJy2PwSPT7/qFi4yoEmZyovlPwGZdEReY/Jx0vpdqbxMlXNOi03lyPsZborMuq0pKLOjK62X5VsuOCRX5csHzxydt1Dy3HAoPZmtKwUnhbhEd7rEWuxNUWl9p9dFitdRWPXW2paExbBEdr30F3isPWLLWuWG9ryNWeRF94PTmfvoEqJgKP5Ph2b683t2toCcW0OZQ89SqRF4xC6d+2uMIeTxNvL55eMunGZbPwDnZNkG9jRLvIiv/tI29XBbGPL8Aj1DUiSnKIZL2zCv3+PPxvvh5FcMczsOqK963eQvRFC1FHdiwI2GEyUfjj5yBJpIy9EoVH6ydNrVBoKr3XVFnE0VWfIPfwYmjSpajV/kDLmVGtfd7cZ/Wn14qgpMRZxMVMpLIqi/2HvyV5xvV1AdIdcX/Uklu0Ae2WdcRcfUsDy017ccbcfEi83c7BoznceeNldRcYmcPBkZsfQekQmfH4HRyJbbq7sGi1oV+2GsO6rfjNnU5I8pknWYA6k80jORzo9u5Au2EVCh8/ovtOwzeqb4uWQZvZQGnaJhAkQvtPaNfx7cz30mDcksS+pS8Qef4VqKOa/j3UFwV3bV2Pl9lCSnkRqcWFjLv/mQ5tt6ljbTcaqNq+EQmnlaK1m2FHvq+uytiqPUausOD0hmyktnCqjLM+hiNpFP/5A+GP34G8lX5ztdRv1/ClJHGFIOCnVPS6dg0tYVnyDQpvNXELG2YH99YsqnbjF+fbZeLGWmNnyX3bEe0SCf+7FoXGNenmjhoLh59dCqJI4N2LkHXCLCjZ7Wg/X4I1r5C4a+9A6evfpuUa/4itFWUUfP0RXkkpJPWfh9BCQbOWYlJqqcj8h7xtvxI9eh6JsoENPqtvrQkN86VPchBQjsPhw/r1f5Gbm49c3vH0x+CgflRWZREc1A+9Pp/9h78lcdLlDbK/OmJRAMjOW43un63EXnsrSv+TO6W3FdFiQfXWM1xgrOEFUeIVTvSD2RcbyZijOXXWhJ9feJeBb59cQde0/zCVX/2CKi6KhBvvReHr1+S2OvJUKzkc6PbsQLthJcqAIBLHXoJPeFKblq119dXSXOp9U2Kms26pWmoqCsDhwCOy+cDqWovBZVs3cOuGlQDk+gd2WNxA893NG1uL2ruOtm5XkzIA7abVbbo5t+VGXt+q0tlmsd2VtdXcftWfXjuepva9t2WXtQXvlFS8ygah/XwJIbdc0aZlTqV2Dc0hnzCTkufeJPrSMci9Wr8/n3ICp6sypQxlZr6/bQth/fzwvOFCl2VKWcqrSX/kJ3z6hqOafylCJ9YrGmsoe+dLZGoP4q+4DZmq7QKs/o9YHRlL4Y9fEDzlLGJCWvfjNheTAs4sqfztv6HLP+R0SclOdnFZbUY03uXcd98iBg+Jx+Gw4HBYEQQ5i26bycaNG3niiSfIL9h6Utp4Uy6qxtOtVgNa7WGyFZ5U6I8SP/5ifCNT6ubtSM0VSZLIPvYX1Wl7ibn21jYLyaZwmM3k/fQB/imJPFZQzGelFTwiilgFgZsVcsYezambVwTG/u/BhstX6an8dimWrHwizroATXLLTVfbE2sgORzo9++iYt0KlP6BJJ6xAJ+whDbvW22gdtjAScgUKpCEZgVLU2LGFZlUAIUFm/EbNqb1GDRJ4rE/l9S9fWlq601JW6K5Y90e0dKR2JDaZWotOdD6zbkzN/KOFO4TrVYCJ83scvdRc/tVfzrQ7L73hhiojhA+ei5ZH79Ezc59eLWhIvGp1K6hORQhQfgNiaX074NEnNt6a5ZTTuB0BWWZer5ftIWh58djnTvbdZlSWWWkP/Ij4XOHIZ3RenXalrCXaSl9/WM8B/YlYtz8dmfJ1P54BbmSwh8/J2nC5fiGpLSy1IlWCxFDZp50E7KZDWSu+Ry5QsXowf+HUtG0ZSp1gJJrrr0GHx8lICGKDgBkMjkgJzV1EJ9++gUffrCExR89C5wQM/WtM/Wpn1W1/+DXAJSU7SNp8pX4xw5oMMbaqrlAm2quSJJIZtqvmHKziLl2UafM1g6Tidwf3kMVG4Xq8nN5bdeB4xcYGTc6RAJrzHXzHowO55wn7oTj54kkihjWbUP3y994nzmKqBkLmsyQ64iJXZIkDGn7KF/zB3Iv73ZZbOpTP1DbLzaV3C1LCBs4qUnB0pSY6ahlrT7WGj3VaftIWPRAq/Puf/LuBllTKwZ3vn9VU3RXLZW23pztRgMOq5WgDgqOjrReqFi3gpAZc9p8TnbUVdTcMWhqelP73hN1b1zhFpMplUScfSmF33yGekBKm3oWnkrtGppDPm4yxd/9SPi8Ya3eU097gZOzs5wl925n2n8GUjF6mssypap2ZXPkv8tIvGUa5j4TOrVeS1Ye5W9+hu/sqYSmtD2CvD5yLw0Os5nqA1ucwcT+Dc3PzcVCVGTsoGjP3ydlGpkqi8hY+TGBCUNJ8h5NYdHOuowocGY6qZQa4uKCufHGcZx/wVzUajU//bSEwEA/ZDIFcrmKsrJyLrzwfMxmMz/+8Cv/7FqLIMU1aLWg1R6m3D8BjdeJ4N76bi8PlTNOyje6/0kZYKVpm9Dlp+MdlogmOBaH3YLNbGjWiiOKDo7u/g5blZaYa25Bru64O9FRYyTnu/dQJ8fjf+lcBEGou8D4Th5L4J/r4HgM3NcTR/HgNRfWLWvNL0L7+c8gCMReeQseYSf3/6qlvTcfY+YRylY6548bdm6rMTbN0TjNPnvDt8czqRRNHt+OipnW4nRys1bhN3QUCm+fFtdz/vaN1K80Ne+mu9s9FlfTXMuLtt782pr6rd+zHW07BUd92htw3REXWmvncXPHpblj0Hh6b3I/ucot5hWbgHpAMrplqwm4qHVr5El97Sp1Hd52T+GRkoDeIWJIL8QnNarFedskcARBuBBnM8yU4/VrEAThdWAOcIYkSSWdHHOPkPZnPiue30v8A+dRMaz1Hj1tpfTvA+R8uJbAm67E3Kft1YSbomZPGtpPfiRiziV4pwxsfYFG2I0GdLu2YirMx1GtI/Ws21B6nnwjaC4Wwi82leriTPxiU+um6fIPkbXhG2JGzyNBGFDXFiG/YBsWSyXgzIyKi5nIVddMxEvjgVqt5siRw1xwwXn89tsyoiKjKC4u4bzzZnP48CH69u2H2lPOAw/czjXXLCIsdBDZOasJ8E8iPm7qSenjtWgrM6nQZxKQMAy1X/DJ4kVwCgifiKQTlXMVHk3eaB02C0e2fQEIRF9xU4frCYGze3but+/hOaQffuefSN/PDAtmT1w0H54zmR/Hj2TpM29y9mO3kx8WDNQGEa/CsG47fufNJCRhfKvWurY+xZuLCij7e6lTvA0+m4D4wThbwXWMxmn20aPnAtS9uoqW4nTMujKq9+8m/tb7WlyHTBR57vef695vi00gI6Lli2NX0LjnW1PF7lx186u/ns66Ydpi5Wg87va60Fob46kYK9McrnCL1Qq+kMFTyf38bXymnYEi0L/FZfYlnIhLLPfzodyv5YeC3oggCIROH0jpyoOuETjAT8ADwCPADYIg3ANcBow/VcXNts8z2P5lJsn/XYAmMbT1BdqAJEkUfLuVkt/3Enz3/6GM7FyQXvXareh+W0n0pde3qUliU1Tt2EzF2j9RhYYz8Kw7kSmcz7AmXQn525cSPXounn5hzcZC6HLT0OWn4xUUg1ypAkGg+MBaUvucjzG/FGu4kYjw4VRWZdUV6vNUBxIRPpzQMF8GDorC4bCxZMkyzjtvDkeOHOb888/l66+/ZsGCBXXiZsmS5QQHBxEUFETw8SDywMC+aLWHCQxMbjL7Kkd2hJwjP9Fn6tUYy3KbFC+h/SfUBb3W0pT7xG42kr72AwCiF1zfKXFj01WS+/W7aMYOw3futDpx89kri5l8MAOrTMaWvgkcSIpj0NtP1S1nTj+K9vOfUcVGknDTvS12/K5Pq5WHdZWUr/4D49HDBE2aQXTI2OPuwc7R+Jzx9Asjecb1bVq2PdlTjbdTt2yfUWTt+4XACVNbtd5ctGNL3d8ScPXC24Duz6ApW/FbXfp19OU3NFnszlUxIY3TmrtaFLTkEnJFLNKpGivTFK74PuoLPs3EUeiXryHwyvNcMbxej73fOCr++xaJt05HkDf/kNYmgSNJkiQIwkPAckEQMoGHgGmSJGUIghADfAGEAnbgaUmSfuj8LnQNkuhsmHlscykpL1/t0jTwY2+vpDqtkKB7b0MR0LmeUrpfVlCzfS9xV9+GKjC4Q+ux6arQH9iFOiaBvmdcXSduAPK3L0WXn45ZX0ZgwnBCU8c3adWovak4bJbjfYM8iQofib46v65FQlzMRFL7XUBO7noMhiJSkueiUmro1y8Sh8OGw2EhKCiAZcv+YP78OaSlpTF06FAAUlNT+fnnXwkKCgEkZDIFU6eey6E0BdFRYxsUBazPUctOivatImXmDXgFRaM+7nJrqkZL/f1qah8t1VoOr/kQubcPppxM9Pt2Ejh+aoduftaKMnK/fg+faWfge5YzlVFps3Fw0eN42J2xRypRJKmknANJTtHqMNRQ9f0yzOlHCT/rQrz7nogh6sgYapfxSR2Kbvc2Kndswn/kGQye/wBylWsyEDub3t2e7KnG32HtsjpzITZ9FQFjW24oG6EtBxyY5QrUDjtj7j0hKrvbKlC/5xs0XezOVWKks+uRJAmH0YBNV4m1ogzj4YOoQsKwFBfiGZuIwtsbuacXcm9flP4BTW6vdprdaGizq6qr9qclenuqeFPjqy/4fCWJY+88j9+5M5D79r7xuxpFSBAeId7oD+bjN7j5enJtjsGRJGmFIAg7gGeAuZIk7Tj+kR24U5KkPYIghAP/CILwuyRJxs7sQFdgtzpY+sg/GMrMJL54rUsbZmY8vwxHjZXAu27pXBq4w4H2s5+xFRYTd/UdHf6xWUqLyf/qQwJGjyc2avJJMRbRo+diqa7ArCulaO+KZoNvlWpvwgZMInPdF8iUasKCB5Obt4H4uKkkJc6qEx8qpYbkpLMbLKvxlgMScrkKuVxJWFgIX3/9dZ24Afj662+IiozCbLEfF0NW1GobJaVpJMZPO6ltgySJpGlXUZV7kH7nLMLDJ6hunB2J7zCW55Ox9iMCx0/FZ9Dwk9JK23Pzs5QUkffN+/jNm473pDEATDhwiK9e/eTE+IHHL5nDr2eMcFYi3r6Xyu+WORtj3nQ/Mo+G52RHbsC63dsoX7mcivV/o0kZwMA5/0Hl3XrdpfaIls6md3cme8pZMdtCScZmohdcjyBv3hrlazSy+o3nMKpUrE5JZXNSX/T1flNdbRVofGOq7flWS29o7FiLaLFQk32UmuxMzAU5mIsLQRRRBgUjORzYyktR+Pph1+uw66tQBgThMNVgN1Rjr9IiKJR4hEWgjorFKy4Rz7ikOktob3cvnYrja3zueI0YiGHDdvxm977xdwUBY/tQuf2YawSOIAhTgSE4+0fVuaUkSSoCio7/XSwIQjkQCPQqgWMx2Pjxrm2ofZREPXU1MpVr4qvt1WYOPf4zqhAfNFdeg6Ds+HpFi5Xy978Gh4O4S29FtNtafOpp7qnDlJdNwbefEDJzLtH+TVc49vQLo+85t9alTzd3oxEddjLXfIahNBvRZkal0hAfN7WuYnBL5OQcwOEYhVzuAQiUlJSxYEHDglILFlzGr78sxz8gCLlciSjaqaioOGldVpuRwsLtlNsLEG0W+s++DQmp2arKbaEqL52szd8QNucifFKdwcn1LxjtufmZ8nPI//4jAi6di+Z48b6ZO/fz4btf1s3jAFLeexa7UoFdW4X2y19wlGmJvvBaPGPim1xve2/Aprxs9Ht3IlOriRt7EUEJQ9u0HDQULUHJo5oUO7UiqDYmq60CpbF46kz2lMJDg95UgP/wsa26bre++CgC4G21cjgskh9HNiyL0NUCo6UbZ2+wGkgOB4aMdPS7t1OTleEUJwl9iOk/k+rAYxTt+ZvQmBF154NfbCq63LS616DBzu9TkiRsJj01FYVU2nKp2LAKyw+f45WQjO+QEfgOcl6Has/j3rDvTQVF91b3V1vGF9xvAgW/fIbvOVNclgncm7FFD8Hw408tztPWIOMhwBLgNmA28F/gpOpAgiCMAOSSJOX9P3vnHR9Fnf//5/aWTe8dQiAJHQEpIqiAoBTFs/deznbenV77nnp3v+vN887z7B0VBaUL0qT3HgIhvfdssr3M/P4Iu2yS3WSTXaq8Hg8eYXdnPjM7OzOf17zL69XnvT2DMDZa+eyJbaSMjEZ1/0095uz6AltjO8d+sYiI0RnIr+tumNgXCCYzDf96H1lcNKnTb0cik9G6Z2uffVhMJwuoWfwxAybdTmRkz3opCnUYKaNn+X1yF5wOija8j83YjMtmRqOOxuWyI5MpqajcApwuJvalOFxTrUQmUyGTKWhoaPAUFOfl5fHJJwu5447byc/PZ87c2SxZsoK4uDgUCg21NZpuflMVlVspK9+EJjKR6IFjEBGDiiKU122jaccaUm5/0C+5CHTyMxWfoHrJh8TcfzOakaePeVFSHDa5DJXTxd4BaSz45Q872rPXb8fw9Rr00yeTMPd+XDYrjRtW+1S+DWQfnCYjTVvWYS4+gcvYjjZzEPaGOhzGloCOhRveURV/ZKe/x9zXer1FjPx9XlG7BZexndhb7utxm1+9+kfcV6QI/G/azID3N1ToaWI6l1EDURBoO7iHpu/WItOFkZg5gcixtyFXno4+a6I71LRdjo6HGffvphme0M36RCKRoNRGoNRGEEkuDLwWp81Ma/kR6nZupn7VEqImTkOqCC6iE0ql5a4F3udj5MaNQO4DquRUkMuwF5ejygpd08z5CuWAVCxVLTiNVr/L9EpwJBJJBrAK+Jsoiu9IJJJdwCGJRDJNFMWNXstFAx8AD/se6dygudzIp49vY8S8dBzzg3Pt9oalspn8ny8i4fqRwWvctLTR8I+3UecN6qRx01cflvajB6lb+SWDpt3fJ7E2X5OP3dhKwar/IJUrGJ51C0Ula2huPk5F5RYyM64mM6PjYnOnqNzCey2tJeTl3IRSoaOl2cGx/HoSElWduqW+/moFiYkJLF78NfPnz+X48QJuvPF6lixZQV2tDaU8B7vDRFnFZmJjcqis2k5t8xHCU3LQxaZRtW8lguAAUdLNCbw3iIJA8fFlmAoLSH+g//VNnmNXv5/mJYuJffwu1EMGojea2PbCn5j2+59SlJLIsw/cikxwsWziGBy1DTS/9yWi4CL9nidRxXeIIrbt7NAMAQJSvgWvp88RY6ld9jmmE/kAJI+eRdSAEVQabOgSMvsU4fKOqvREdrz/9oTeFLB7I0u+Pm+tOk7DhpWk3fcEErm887HwmuwSWprJaar3jPW3q86NWmtPE1N/va6Chb2xnpoln4BUysAJt6FP9N3pqVCHne48PJXCTozRM3RAImGTh1BZOJkys4ZGo8vn+nKVltjs8cRmj8fcVEV54Vpadm4mYfaN/Wojh9PEKBReWYG4mV9IkEgkaMcMx7zv6PeC4EjkcsKyEzEW1PhdpkeCc4q0rAaWiaL4GwBRFI9IJJJFdERxJp5aTgV8BfxRFMVtodn94FF7rJXPn9rOlMdyMEyZGTKNG+OJWo79+kvS75uCY+hVQY3rqG+i4e9voZsynoThMzoRpd5Yu/fnhv27aFi3kiHXPII2pm/tr10nH8Hp4Pg3r2M3NgPQ0HiUcH1KJx0ad4TFHbXx7qSqqd3nqZ354L3N/PDpSVitVk+3VGRUDFabg8jIKE93ldVqxWw288F72zzjFhWvpqp5P9bWOmIGjWfAlFtxWI3IFCpcDrtPJ/Ce4HJYObHrY0SHg/SHnkam6e691ZcnxIaSrRi+WkP8jx5EmZHCyx8t4b4NOwBY+fIr3P/0/ay8fCSiy0X7yo20fbPJp3+U2+laJPAQuftG37xtE8rYeOJyJiFX64jLmUhT4W6PsKH7ry8C0VMExdtc1S30GJGe12PEpWtnXk8K2NA7WfLVPVX83YeIDjuW0pNoUtI7HQvomOwkLhcbXzltv2CVyXhr6vknR9+f1mvofI62HdmPBIjsxfPKvY48Ipr6lYuJmXYtafETepUJcB/7cdNm8/gt1zAq2/ve0qHJdaCwije/3k5JdbPfcbQxKeTE3EdbzUlKvvkc3aAc4mfdQMuOTX2K5HgTI21mVlAppUDczC80RCYMpWbtFxCAJs7FgLDBiRgL/Tdy90hwRFFsBrrlOURRvNX9f0nHjPwesF4UxQ/7vachRtnuBpb8dBezfjWK2uHTQjau4UAZx//fMiLv+gGOoUN7X6EH2Ctrafjn24TPuYb4rCm9r+AHLbu20rxlHTkzHusm4NcbvCc5gJpD62ivKUIdEU9i5FDPDbC0bD1pqVfQ2HQci6XB4x3lHbXJy7mpW9dT4cky3vhfNV9+sRStTkdcXAdJcndXRUdHsmTJcoxGA59+soMNmz4DIDIiE4UmAsHhIGHYVSSe+g29J16ZQhlw9MbW3szx795Gk5pJwvU3+S1MDeQJURRF6g6vxfjdLuJfeAxFQixf/fZVRpdWepbR2B0cS0/CXlFD07uLkOk0ZD74HIqo7n5Wcl2YRwMlEDhNRizVlUhValJHziZ28PhOxNh9TCLS89AnZhGTPc6nIWYg6ab6/K3UHFxL0siZGMrze6zRcXfmAWTPeKhXAtNbHY7354Lg4sT2DwjLG4mr3YBu8Olrr2sk5J5tmzqpFV/2iz/43QZ016YJFGejjsRXlMfXOSrtJfLnXkeiUDJ4xiMBR3gV6jBuuftBbp+ajVbrWzohJVLJ8zePY+GmQr47UNzz90kaxNDrfsSJHR9SvegDEq6/qdv36wl98coKxKPqfE5LBYKu31Gdko6zvgnBbAmq2eVCgTViANKiQ34/D0Wl7WTgVjrSVjeceu9uURQPh2DsfuH4+mpW/WY/A35+I7XDQxeqa95WyMl/fEP0I3ehzum7rL03bCUVNPzrPaJum0tscv99eJq3baR11xZyZz7h6SjqC7wnORGRqr0rUUfEM2HED5FKO04Pu8OETKakubkQi6UBjSbOQ2LcUZv8gi/Jy7mpW9dTTe0+tmxbTVlZDT/72bOc4jfIZArP35LiKn7y08eoqxM8WjpSuQrBaSN59CySR83ott99KVJtry3m5OYPiLniGiIvn9JjOrG3J0RREKjeugTb8SISfvY4UUo5ux/7JRqH07PM21dP4uVbr8ewbB3G9duJ/MEsYjMmBZ0eFQUBw/5dNK5bSfjIyxh58/8hU3TuuupKWN3wNsR0awX5IyCdxjgllIhE9Ju2cv8OqePnIricqCPjPYKLwdowQAehLDqyBKlChTI6hsZ9O9BmZnkmuE6Tnt1OqqEZAZAC99/5EC5Zz7e5rto0geJM1dB0nbS8x/a2XNAPG40qOQ0JvRMEfd5Imr77lswJP+hT+npAcjS3T83mpvlz0GjULF660vOQAtDQ0MCCeddhsVj58uvlVNS39hjJAZArNeRMfoCCLW/TvH0T8TNDKwzpRiAeVRc6wekWvZTJUKYlYy+rQp076Bzv3ZmHIjEe4yb/51vQBEcUxS1Az3HOs4iDX5Wx8dWjDPrtbYQN7m782F/Uf3uUsjc3EvP0g6gy/TsWBwLr8WIa//sRSXNuIyy5/1Ggpi3rMezbQe6MJwJqA+6Krj5TlbuXI5GridZkUFq+yWO34LZFiI3JobBolacdvKZ2H9lZsymEbqkpN9xEyGSM5bcvLyE+Ppyc3GTCIzS0GSwcOnySffu+AZIYNHA4x9TQXn0CTUwqYbGpiILQo7VCb6ho2EHjd6tIuvFOdIOG9Lp8T0+IgtNJ1Tcf4TK0k/DCY0i1GjY987KH3IjAI4/fyfLYaJp++yqy6EgyH/lxUEadbtga6qhbtgjR5WTIdP9pSG/iAXSKuLgc9k5ExWkzeVSqvY9v/bEt1BxYi8PajlSuJGnkTOJzJ/ut0XFDE5FARMoQKvcsR6HW++3E6ivKazZjqSgh/YGnEV1OJBKJ3wl9099eojoiig3ZecQb29iRnedzOW901aYJFGeq86anCdjbckEVl0Ccn8hfV5LUfuwwukE56JOz+1SX9fD8iWi1SjQaNccLClgw7zqWrVhFYmISNbU1LJh3HccLChg8ZAgajYaH50/kF/9d0eu4Upmc7Mvv5MjSvxAx8jJUCckBHJm+oS8eVecCoYgA+vouitREHNV13wuCI4+Lxlrr327inHlRSSSSJ4H7gOHAQlEU7wt2zJ0fFLL7kyIG/+kuNGmhc0itWbqPqk93Evvco0GrE1uOnKDpzU9JXnA3uoG9m136gtNkpGbJJ9ibGsib8UOUuoh+jePtM9VSeghDZT6i00p1bYfEkbtDyg2dNo5Rw+8B8NgzAD5TU264yZHdYaK4dB3FpVBZ1UGc7A4T+QVf0tx8nAEZ13Cy+TsszVWAiKmuCLlCiaHyWI8GmX47wFzODsPM0iJSbn8QS1kRqqSUft9IXBYLFV+9jVSnIf5HDyA5pe8x75c/ZMvP/4JDJmXwKy/SsnoTxo++IuqWOcSkjg86aiM4nTRv/pbWXVuJmTaTtPhJPXbr+SIe7mMTnzeZpsLdnvfdKSXB5SQiZcjpYyh27LO5qZr2mkKfdU7+ojOBdGJ1HaunWqBq02Fatm0g/cFnkKlPKVz7eere/oefE2mzEVlfQ21EJDc/+pzf4+QNb22aUPlABYOeJuBAJ+euNg0tuzaTPmpun7rgEmP0npqbxUtXesjMDXOv55OFC7nj9ts95GbR558TGxVBfLyKhGg9dc3tvX5PhTqMqMun0LJ7G4lzftDr8n1FoB5VfUWwxMS9vmC3e5oL+rs/vr6LRhGHtaHnKNrFAmmYFsHm9Pv5uTTbrKZDNPBaIKhkoSiKfPefYxxbW0X2X0KnTgxQ+ekO6lYdIvYnTyCP614/0RdYDh6j6d1FpNx8P9qM/ntUVX/xIZaSQuKHXtlvcgOnJyOVPpqyHUsYmXsPNbX7aG4+QXT0YGJjciir2Nyp9dsNb5dvb+PLrnC3j9vtxm6t5R3bOk64Po3Kxr1EpuaSO/dZGk/sAolI9MDRnhoSf/DZAWZuo3DbB8i0WtIfegbD3m1BhaQdhhYqPnsDVW4WSTfOZM2v/8H/Zk7hk6snURkfy8Q/vUCZyULTH/+LPDaaAY8EbrPQEyzlJdQu/RxlTCxD5z6HUhfZp/X9KQDDqaLfkddga29CHRHX6f34vMnIFMqOLqyD8k4+ZBBYcTL4JztdJ1b3Z+21RWROuc0zZntdMXUbF5F616MoInuOUN68awtRNpvn9S/n3RzYQeqC8yF90dMEHOjk7E2E2g7swtnagrm5ioShHarPgdSuDR1wOgIeFxfHshWruGHu9R1K5CNHAh1K5EuWLic8PBxR7LgXDxuYGBDBAYgPy+Hk4YUBLXu+INhzxL1+9NSZxM2YE9JIktNkxFpTiVPRu07ZxQCJREL8C49T97t/+/z8nBEcURQXA0gkkrFAv3M+oiCy5k+HqDzQRNaf70MR2b0zpp/7R8V7W2jaeoKYHz+BPKr/RALAvO8IzR8uIfXW/vlKeVi/04m1pqOYVSbvmxKzL7G1qAEjyV/2TxIi89BoorDaWrHaWrDaWmlsKvBEabwJjN1horBoVSeXb186OHC6GyoqsqNmKSoyyxPpSYgfTp3pBGZDPZmTbyEyvSNd5440yFW6XiM3XQXn2utKKNr8IRGXTSDmyhlIpNKgQtLWmioqP38L/YwrGDYih81PvgTAHz7+mt99spSBr/2Wgq17ad+wPaiojfdToVSuoGH9StqPHiRj7A2nTDEDG9NNFlxOGzK56rQgm49WbVNdKVZDPVGZo0gdO8fzvpuk1B7egKHyGPrELDTDE7ptA3qOAnTqxPJyHe+KmOxxtNcWYag8RunmT8mcchtOSzsnN71P0oK7UCf3fHuQOp381stI80ByKi36yICOV1ecL+mLYOFNhMJHjad560bCkwf3qS4qIqzzc2diYhKfLFzoITcAnyxcSFJSMmZTR7pbIum+Xld434dkKi2Czb+OyfkG7xqorudIoJGdrh5hoUTbgV20H9mPPCE4+YsLCSovA9GuOJcRnKAhOAVWvLSPlkozGX+4D7lOFZJxRVGk9PX1tB2qIPq5J5DpgzsJzXsO0fzx16Td9kivN2t/cLN+qVpDzszHaa8+0etTWFdC03ViElxOijd8SFhsOtWVu9FoYzw1NdlZs1EoOshi10iOO/ISHT2kmw4OdNTdeLePu8dobCrwjNHWVsGRkiWoI+IZevVPO0UCAplAuy4jiiLltVto+m4tifNvI2zw6ahDf0PSxsJj1Cz9hOg7b+D/yqt5+ld/83zmkkgY+vwj1Pzxv8j0OjIfDq7Wxv372psaMRefQJM+kOHzfopcFThh9yYSgtNOzYG1GKqO015TCHRv1Y7JHocouFBHJ+MwtVK9/xtMjRWoI+JRh8ehi0snadQMXA57pzoov+aXfuo6Ojqx1pA0cqbPzxXqMDKn3Ebp5k8xVB6j7sgmGkv3Ej/rhoDqpg7+7nkagXfpyHnf9shz/U4jnE/WCaGCXBdGWM4wmh3lhBN4XYbBaOn0ura2hjtuv73Te3fcfjtLlp1SIgckcmW39brC+9rVRCd3i86dDyrH/uBdA9V13wKN7JzJcyx81HjsTY1Y2mrPyPgXGi4IgiORSB4BHgEIT+p4OnDaXXz9sz3YzU5SXrobmab/7s/eEAWR4lfXYCqqJ+qZx5HqgosImXcfovmTr0m7/VHUSX3Tp/GGRKFEqlIzZMaj6GJS0PkpMvWebLqSAO/24ar9q2mrLkSqUDEs7QZqlRke8uGus4EOsnI0/zNaWotwuewMzLzGQ1q8ozXe71VW7aC0bL1neXf0R6eNw+Wyc7RpLY0ndxORPJi08Td0m/Rissfhctq6Taxdl/Es67Bx8sAi7I31pD/4DMro4Ouv6gu/w7B8HXFP3sP2tz5jgFdOu02lImPeNbT95yMiF1xL7IDJQdfa6PNG0n7sMMYT+QyYcAuRaT2rUPuCu1MqdewcTx2NNibZU1/jhtXQQEvZYVrLj2BuqkQdmYAuNg2hoRlzSwU69Lg0Vsq2fYFMqcHSXIW5qYLMKbd5tuNNZnpTKXZ3Ygkum98CVzfJqcvfTGPpXqKnTCd8eMc51dOEN6SqAgUd5OZ54H+Tr0KO/8nmfJ48z+S+RY6bTOXHb5CaMCFg0ny05PQk6e6WOl5wSon8VA1Ofn4+866f3am76khxz5Oru+Dd5bRRXb6dsCHDOn3e9bc7n36zUNRHnUnIdWHo80Zg29fd7ub7iAuC4Iii+AbwBkDS0CjRYXHy5Y93IVdJSfjlXSHzlRJdAif/sRpbdSuRTz6GVBOcGaeH3NzxGOrE/ncJtBccoem7teRe97RfnRv3hOIWwIPuT9reqYeaA2sByEy/CpUyrFsKyh2BqandR0trUadt+aq58X7P7VPlOKVG7CZCTc2FFJQuQxOdjDY6mebi/WijUzxpDO+Js6uCale4v4ulpZbCLe+jScsk/cGnPFLw/YXoclG9bQnW/EISf/448thoMr3Izb+vHM9P6hrhwDEyHng2JGTKXFJI7defockcRM7UhzvJ5fcFXX9vt06QQh2Gw9JO7ZFNNBXtwWkxEpkxDL00BpNQRoI+B5lTSeygiZ2ibNawcew+/Baq8DgMlcc8BcpdyUxvKsXxuVcgk3eIM/YYmRNFmqsOEzl2ElHjJ3ve9tZ9Sbzh9k6T3L8/fw+A+4Hi6FjWTpoG+J9szocaG384k75V6qQUwoeNpnDXxwyZ/ABSqX+DUjdqm9o5UFhFSqTSQ26G5OSwZNkKkhKTWLJsBfOun+3prlq8dCVVrfZe628U6jBkCiWVe5YjValJvrFzVKjrb3c+/WahqI860xBsNiTq0GQzLnRcEATHG6Ig8tmT29HHawh/6taQ+UqJLoHCv6zE0Wwk/IlHkaqCmyjNew6fIjePok5M7vcNylxykrqlnzP4mod6FPFzt/YmDJvqqafw2+mSdRm1RzYSGZZOaurEbp93TTe5CUtXfyh/cIsANjWfxGptwum00CYzYGooJ2PiAiwttVTuWU5Eaq5nUvQXbeopDVfZsqdDoG3GXCJGB//U5LJYqFzxPggig555AIlOg0ki4dMpY7l5y15umDWVVVt2E37tlcTnXROQ91hPv7tgt9Pw7XKMxw6TefnN/YraeKPr750wbBrGuhLKjy2mrfoE4cmDCZfHo4kbQoJ+JHWWQx7LDV/pxbr6wzhMLaj0sZ1qdKD3IlXvKBzQqzij02qiYMP/0OeNIGbKNZ0+Cx813iNq13Zgl2cS+ejtf7F9QDbHzSayGuvY8PQvPDc0f5PNuX7K7ul8ONO+VXEz5lL12Xsc3/4eg8ff2U1DyRfe/Ho7z988DovFypCcHBYvXUlUdCxWu4Oo6FhPd5XF0qFE/ubXu3sdE0AdlYREoSTxxjuQqtQ9av+cjd/sfIoSBQunqR2ZXtf7gt8DnMs2cfmp7csAmUQiUQNOURT993wBzWVGhl6Xhubhm5FIQ2O+ILoETvxxOS6jFf2jjyBVKoIaz3wgn+aPvyLt9kdQJ3akkvpzg7LWVlG96AOyptyFLtZ/IVXHl+g4FlKZqldZ/pbyI2iiEhmefYfP1Ip33UxN7T4S4kfQ2FQA4LOYuOt7qSkTaDWU0dpahFIfQ2XtLuJzJpN5xa3I5EqU+mjaa4tIHT/Xk6qISM/zaLJAz0J+LoeNoiNLsFaWkXbv4yHR0LA31lPxxduoh2azubCMkT/7EyeS4pj5u5/w/M3X85DVjuNgfkc0rg+pRn+/u6WyjJrFn6BOSWPY3J/0qdamN4iCi+bSg9Qd2YTLYSM+dzLDUuZSXbOHovoOItPaVk5raxGZGVeTmjIBmUzpITfeZMdkqscoaev0W7jJijvd5CtF5SsK5/2bep+PEomUYxvfQJuVQ4wPXRe5LozEG273TEAA//jkbcZWlDK2opSVuSOZ/fQvAjo25/opu6f7QLC+VT3BPYEnzvkBjZu+4cjKfzJwwi3oE3ru5iypbmbhpkK+/Ho5Wq22k8gfdHRXLV66ErPZzMJNhb2K/ImiSGXjThq3riT5lnsJy+4g9f09Ln2FPyJzPkWJgoXF1Ygspu+6aBcqREHw+9m5jOD8CnjR6/VdwMvASz2tpNDI0Txyc8hMMwWni8I/LsdltqN/+CEkiuDIjeXwcZrf/5K0Wx9GnXS6oLivNyhHazNVH79FwvULCA/L7nV5d2uvW5bfX52EKLioP7aVUbl3+T2G7nSTW+umumYvFkuD5/OunVXumpvm5kKG5t2KQq5FqehIs0gkEnLnPIM64vSN0VCe3607x9d7vmBuruHk1g9Rp6SR8fCPkKqCD8UaT+RTs2whKddfTf6SbwizdUQdhtQ0YDteTOPbn6MZmUvm/c/1OQXW9XcXXS6aNq2hde92MsYvIDpzZE+rBwT37x09cAyGynxqDq1HqYtkUNJVxEQPxuG0UF2zh9iYHE80zuWy03oq9eidXuza/k9CFGJtS6daKIfV6CkIBv+eUj1F4dzno+B00FR3FG1mFnEz/Jvhek9yI0qLmH3iqOezv02/cHx3+msy6UvRuC8RB+8JPHHuLbTnH6Ro1Udo0geQnj0DTZR/UdTvDhRTUd/Kw/MnEhsrIjrtSORKz29V1Wrnza9390pujPWllB1egeh0kHb/k52ENPtyfwwm2uKPyJzryF4o4aipJ2xK/9XxLzRUP/Oi38/OZZv4S/RCZnxBEhMZWnLzh+W4bA70Dz0YNLmxFhTR9PZnpN78AOqUzhGXvjyF2JsaKX/nX0SOv4LkMN8ToK+W75jscdQf24KxrpT2msJOuiLulIGxvgxVRDwqdaRfjRs3vA00vTum3J91RUtrEYeOfIhTIWA3thI9cAxpl8/vNDH6au32/r8/giaKIhUN22nasJq4mfOIGHV63f7e8ERBoO7QGowbdzDlB7PZ+O4XnT5fMH4UDa9/TNL1txI2pH+K096/u72xnprFHyPT6hg658cotZ21cnrrRvKHxhM7qdq7kpqD69DFpzNs0E1ERmR6PveOygzM7Ej/2B0mlMowz+/ojsK5XHZP+79crqE+fwuC00bp5k9JHT8XQ3k+Lqetg4wmZ3dKQXVFT1G4mOxxCE4HjTWH0A0YTNzMeQFf15+99x/P/60yGVUxcT0sfX7BfT40b13f54iB93ne14hD1wlcnzcSXVYOLbs2U7D2dVTxiSSkjSMybSgypbrbuVhS3cwv/rsCaf0R0jXtDBozDTEinSPFtdQ1t/s9d10OK61lR6gt24HD0ErMlTOIGD2+W3q3L/fHYKIt/ojM2YjsBXKfCjZVJooi9tJKlHfeEOTeXhgQLFZEl38/+AuuBidUEF1CR+TG5kD/wINIFMEdCltxOY2vf0zKgnvQpAfu9dJ9v1xUfvQGLpMRTbv/ffKVFnArEwOoI+I9haHu9ACiBENlPvFxwztNev5E+pQKXSeVYjcR6rp8asoEbLZ26lvyaWurQBOZiNNmQhud3ONTf1eC5v4etYc3dPpuDquRon2LcLS1kv7AUyhj4zttvz83PJfFQtU3H+NqN/L+4AHc6UVu7FIpWRkpNLS1M+ChHyMPD04DSRRFDHt30LhuJTFXXduhRuw1mXsKxJ02z+/nTQz8TR6iKNBScpCGgh0owqKJ0WUyKGOWRyXau1Xf5bLjctk7iI2X/YYb7vMhM+NqsgbOIilxDCUl3yI4bZ4iY+hwJ08aOZPUsXM8Be09KU33tP9NNYfRZQ0hbsbcgMnNur+8iPeSo37154DWO9/Qn4hBV3ViX+v7myB9TeBSlYqYKdOJmjgN47HD1B/aQ9mOL1GnpINUirnoOC6njZTRp9OGtvBMdhTuplDRhELdIazofW0LTgf6pCyaHGWYS05irShFk5FF1IQrCRsyzK/JbV8QTLTlXKYoA7lPBZsqczQ3IpHJkMVE9ns/LyQ4G1tQJYZjKfPdNfa9JDgdNTfLcFkc6B98IGhyY6+soeHV90maezvaAb2nk/zulyhSt/JLFFHRxA+83G80A3xHPHQJmeiTstHGJBOZMZzag+s6qdCKro7yJo0mulNbN4DJ3ODxmdJpTz8R96RSDNDeXkVh02ZMhlIS8jqMLCMzh3vE5dxoKtyNofKYp7C4p9Zi7whPW/UJird9im7IUNSp6Ug12m43ce8bXiBPQNaaKqqWvId62GBiH7+TytXfAQcBKNPrGCiVoh+ZS8aImQEVEvcEl9lE7dLPcLS2kDPrhz4Lxd3Hwk0cuv7uvpR+22uLqdi9FESRvKwbaDdWU1S8Gp0u3qMS7U1gZTIlRcWru9lvuNG19V8URVqddURljCD5slkYyvM7uZMr1GE9Fg17779bB8flsJMy5loclnaOrX+dsMFDib3mul7Jjfs3TR+US4rpdIfOS7PmQ4iiuWcbgU60bqfz6CnT/QrMeaM/E6RULid8+GjCh49GsFkxlxZhPHkMeVM0tcc2U1ewBUVkNHJ9OBKFEqehhTZnPRK5HNFhx1pdgb2hDqQyqo+sR91YgDI+CblOT8ZjP0YZHVrRuZ6O3flcLBwIMQs2VdbadBR13qCQZTnOdzhrG9CkRF8iOG6ILoHCP6/AZbSFpObGUd9Ewz/eIer2eYQl9W7s5wtOk5GWXVuwVpbhMLQwbNYzng6HrtEMN7xVYt1PTxGpubTXFBKRMgRTXWm3mhZ98iCaivaQljq5G3FxKxMXgs+ojTdEUaSlpYjipq2YW2rQxaaRM+cZVF6Gn951NBZDHYaq4yQMm0ri8I4bk8tpI2HoNFxOm6e+o2trccnJVbQfOUDiDbdjq62kYe1yD+Hwvol73/B6Cv2LokhjyVZaF3/D5TOv4LeFpTwgl/PanKu5dt8R/h0VwXtllaTMvwttZvBGdeaSQmqWLEQ/dCSDx9+Ny2H1qQPjrU/UXLyf+vytIBE90Rxvpd+6I5uwtTdiaqhgUNp0EuJHIJFICQvrqKHoSlz9/e2KrudDfcNhBKedgdPuQiKVeX5PzfCETgXGgQgxejuS202tHFv3OuHDxxAzdWZAN2L3pH3/1g2n90+n59MJU3td91whVBOt2+nc3tKEo7HeIzDn7zwPdoKUqtSEDRnqScmKoojLZMRpaMVpbKPt0F6sVeXIwvTosnKQKhRoBgzCVlVBxNiJqOISkUilnv1TJSSe1YjJ+VwsHAipDTbCZN57BP30K/q9/oUGdXsxZMbSvK3Q5+ffK4IjCiIn/74aR6sZ/SMPB01uXK1tNPz9LcLnXkNs0th+j+NWxwRIHH51p/bNrt1FbninNdzkJnX8XM8TtrdTtBtSuRJlWJRP0uKtYOwvfeV0Wil1HaW+YBsSIGHolegTB1G1byUtCQN96tlAh6lje00hUpkchTrMo8MTkZrbYaYpV3VqDdfGpnHkm3+ijIkn8/GfINPqUJ3SEfK+cfdFbEuwWala/zmOylqeuWYSf1/8DQCPrVjPf6aMY4JWA1YbmQ/+GHmYvodfq3eILheNG7/BsH8XAyfdRkRKhxpvfb5vhWZf+kTe0RyFOoyMiT+gZOunNBzfTsLQK8lNuJa6hsM4nBafKSdfcLnsVFbt8LjE+4PdbuJE6Uqyrr4PiQ+9lN6E/dw1X+ClySNXEZaYxbE1/yFy3GSiJwdmFwAdv2VOdRVXGVqok0qJN7Zz9Y9+GfD65wKhmmjdDufRU6ZjrSjpdn6f6VoSiUSCPEzvuSbUqRmok1O7Ezev/XCajAh2O9G9RJu8ESpCeDEVC/cVDkMLjooaNMP7Z+J8IcJ4oo6E2SP8fv69ITiiKFL8rzXYalo7dG6CbAUXzBbq//EOusljic/qeWLpDdqBQ5AoviEqfQQJwzo/lfrrLvKV1lCowzzLuFNC2thUZHIVMdnj0ETEYzXU4XRakXfxsVIotERFDkCh0Haq2Wg31lJZtR2r2kFb9XHCkwaTfvkN6JM6wqAOqxGJVOpXzwYgdfzcTn+9IxbeZppypQZrhEjNdx8QN3Me4SPHep7wvW/cTpOx0773pKEBYK2qoOrrD1DlZFFiMpPy9VrPZws27eT/Nu5AN2E0iWPnBJ2ScrS2UPPlR0iUSobNeQ6F5jRZ6k3bx10IjighPm+yhyAaKo9RvmMJ2ugULh/9JOpTBeJdtWu87TC6ktSa2n2Ulq0HurvEe0MURY5UfU101mWExWf63c+u36Pr7961wDgiNZfj694gZuoMIsdO6vkgdsGdh/fx8tH92KVSlg0bze9nL8ApD41yeV/Ql0k4VBOtt9O51qu271zVkgSy3bYDu2jyY2fQ0zrna+TlQkFj0Xa040cG/eB+oUAUBIwF1Qx6rru0hBvfC4Lj9pYyFdcT+eTjQYv4iQ4nDf/+ANXgASSMvDaosQSnk7plnxM77VoyUn2I8gXQguuuh/BOf7g/91aPjckehzIshp2H/8voIXej1Z7OjXvbK8THDqWhMR+TqZay8o2IokBEWh7DFvys04QN3TtlfEWcNBEJZM94yLOPuoRMzzLuda2GBk7uWohUoSTjkR+hiPTv3N71Zujv5igKAvXH1tO2ehO586az79NlKF2nNRMWZaZyW2MLidffjD7X/1NAoDAeP0rt0s+ImjiVjNRpSCSdyZJ3WtFXqkqhDutU0Gk3t1Gx8yvMTZXkZM4lJvp0fZe3VlF+wZc0Nx/3dLx1/bysYjOxMTnY7UaMxhpiY3J87r/dYeJwxVfYjS0MnHaPz2W8v4c3eiJvxoYyCje8S/y18wgfcVmfiILGauHl1V8BoBQE/nflDEya/ik9B4u+TMLnWm+nK85mbUp/yF2oCOHZIErnY52P4HBg3LST+B8/dK535azBUVWLXK9GGeP/N/heEJyK97bQdriCqGeeQKoJTjdFFASa3v4MaZiO5CsWBF3M1bBmKfLwCNJTpnV63zvkH0gLrr8naO9C0KbC3ViaqwDYsecVwhIGoI1KRCKV09Z+EoDSys0eUqOOTCDt8gVYmioCbl1uLjrQETmKSSNlTGfy595HdUQ8VkM9AIOueYDy2i00b/6WmKkziRw3udcoir8wvffN0dHWStWqT8DhJPGXP+TIz05324jA9NFD+a66jvR7O+tx9Aeiy0XDtytozz9I9tT7CEvouYuuNzNRURSpy99M9b5VxGaPZ8LIp5DJTj+VdbXScLfxZ2fNpjFygKd2ylvLqKW1hHB9Ci2tRTQ2FXQqJHejuORbDDX5JA6/GqkssFtDb+epoeo4xVs+JvGG21GnpNO8dT0uu92Tku1tEtr9x9OpKAEo79JBd6bgaxI7V+mPUEyo/Zn4gzUsdZqMfrV+uo4dKkJ4Nn6j8zHa1Fi6DWVmKsoU/3pGFxtUlQeIGJPZ4zIXPcGp/GwnTVtPEP3cE0i1wT/5tS5aiau1nfRbHutTOsPXzaL92GFMJ/IZet2PuhGl3ibB3moe3PAmQhHpebRU5GM3NuMwtaLQ6FHpY3HaLCi14agj4lCow6g/toWI1FyPuaKlqSLg7+ldUNoV7n3TJWRSe3AdcbmTyV//GkgkpD/4NMoA9Uy63gy7vm6q3UvzJ1+jv3oi4dddhUwiYdegDMafLMOklJOUkYrD6STzvh8hCzIa4DC0UL3oQ2QaLcOu+xFyte/aFu8OMbfjt69oh83YTNnWRVha6xCcdvS2sE7kBrpbabj/KhW6bsTFW8soXJ/iaQHvCkNbJTUN+4keOKZbmrQnfZ6u52mn7ilHEfVbFpN86/1oMwZ6Ck9jps4kbsacTpOQr+vj+c/e4x90+EzFApf97Pc+j+2ZgK9J7FxFZUIxoQbblt6f7fa0/pkiCWfjNwqGRJ2J6I9gt9G2YgOxT90bkvEuFLTsKCL51st7XOaiJji1y/dTt+IAMT/5ITJ98CdT+/ptWA4VkHnP00j7mOfsekE72lqpW76I7Gn3+5Tp761eo6eIjT/HZkN5Pqa6Ys9rdXg8CUOvpPbwBgyVxzy1PEpdpGf9qn3fdGrx7Q1uY0Vf++3eR1FwocjJomTLQmKmBRa1CQT2pgYqv34fwWIl7sl7+XjptzxvMNIYHcHDT97LdWu+4697DqMZmE765fOC2qbTZKTx2xW0Hz9C9MRpZKR1T0l5w7vV260l400aOqI231G1dxW6uAxG5d1Dc3OhTzLSldT4M0p1Fx9npk/DYmkmOiqbyIj0zsfMYaKqagfltTsQnQ5cdovffXc57J0MPKH7eepetsVYiq2qnKSb78ZaWYoyNr7TxND15t71+khtaqDp2CGeP/X5hAHZWNTBmd+eixqaYPfJaTIG1B4eyNihEsULxfq9jX0200B93VYwJOpMELu6w9+iGjwAVWZq7wtfJHAZ2jGVNBA5OqPH5S5agtOwIZ/KT7YT+5MnkEcFJ9QGYDlUgGH5ejLufRqZNnAjM/fFoxvc0XYZPmo8oihS+9WnRI6b7LeQ059vj7+JxQ236aah6jgDp93VrR3Z5bQhOBxIFQricyd3auH2adDZQ0Smp/32R7TMTVUU7f4cmUZL+iPPoowK3o0bwHTyOFVfvo9osTJk6uUc+/1/kAB7fvp7iuNimHjXDfx5824if3AdcRndDUb7AlEQqPnyI8zFJ4gbMpGM9Kt7VSH2LqzWxqRhbCihvbrwVFGxiLG+DGtrHaLLgbH2JM3awh6Ji/sz9/vuAmOXy+6ppXL7S5WWb8RiaaC0fCOjhneuramu3kVJ2Xp0cRnIVVoMlcco3fypR2/He99dTptPzynv8yVm0Diamgqw1daQ9sBTGPMPdrqhB+q19OfFH+OmYncD0+59PLAfpwf0xa37bEVrepvwWnZtoXnTGqKnzgyZLUGgCPYY+Frf+zj3NPbZTAOFYluBkqRQE2d7UwPGDdtJfPGZkIx3oUB5cjvRE7KQKnumMBclwWnZVUzpf9cT86NHkccFP4HaK2poeudzUm95EGV0z+N1PdF9XTytu7chWC1kZlzT01Ae+DMz9KlBcsp0s72m0KNi7EbXIlaA0s2fdmrh7jpR9xSR6cs+u5x2yorXYNi/+1R6YlxIxKgEm5WabV9jOVxA9H03MfXbrfxv006P2q1LImHOlLE0vf0ZKTfdhzYjK6jt2ZsaqFz4NlK5gsSR00nI6yAagbROu9+XKZS0VxcSkZqL1dBAS8kBVPoYRuXdQ0NjPtBdr8a7CNxttwCn01XuNJRbidjlsnt8xLKzZgN4/nqOneCkznQShTaCzCtuRa7WeTSVvM+dTvVcPZwLguCipGA5ot1OxsPPdBNh7Anek2FKSxPf5gznp1Xl/ATIffFvPa4bKM60W3eo9wnwnMf9uVLOx5bprse56/3S1wPhmUYojlOg508oibMoCFSv/pTwOVcjj44MyZgXCurXHCHjwd51sC46gtN2tIrCv6wk5on7UKYGX3DlajPS8Or7RN0+D01yZu/b73Kid714HK0tNKxfSdzAcTjtloAKd3tLV3kjPm9yR7RFlHRa3nuyBTz/79rC3Vu7b6Dw3mdDVQElOxYh02hJu+8JVPGhKYQzFRdSs/JT1EOySHrpWQ7+/M9Em06nWMpiIhk+biSWrXvJuPepgGt8/MFaW03F+68hWMykXHYdSSNOE41AWqe9l3XaLbRVHcfeXEV4eBptbRXU1h3AZG4gO2t2J50au8NEq6HM5z55d0vV6VM6vVdXfxiLpUOh+rLRD3ca02prY1/BeyCKOMwGmosPIFMoO2kpeaO3CJXLYeX49g+QSGWk3fs4UmVHMX9fb+hXHDvCW5+9w9bMQRxJSuXdiVNDplZ8Jt26+4vejk/k+CuQKpVB2xKcrZSP02SkddcWRCBq/BXdttX1OAfaEXkmEQrScS7On/qj6wDQXzP5rG3zfICttBJnu4WIUem9LntRERxzaSPHX15C1P23oRrUc24uEIgOJ43/+RDdpDHEJgcWwdANHoq5tMjzBOJ98XRYMSxGnZxG3dFNKDT6gMhDbySj6+TTNUoDXZRlodPEmznlNuqPbQFRQnTWKCAwMtXbPkdnjaH40BKsVeXosgZj2L8LU2F+0ARHsFmp2b4Uy8FjRN+zAM2IHG7ZtKsTufn9/Bn8v6paXEVlZN77TJ/Sir7Qdng/9asWE3f1bBR1th6Lud3wR0ydVhONhbtwWtpJT5uCVKogOiqbVkMZra1FFEKnVFJN7T5aW4uIjh5CasqETmN5p6u62jHkDlnAoSMfYbE0UFO7z7OcILjYV/A+1tY6EkdMR65Ue9JPLqcNmbx7p2FPRe92cxvHN72FOjmNhOtvCspv6M3P3gFgculJ7r7nMXYPPDuiZf4muXPdEhyqJ/6zRRzcGjgAMqWy27a6fh/v+2Uw9UbnEufiHDGXl9C2djOJv3qyz7WEerOFxb9/jQW/eIL2EDTenG0IOzaQcP0oJLLev/dFQ3Bs9W3k/3IRmY9chW3IkKDHE0WR5o+/QhquI3H07N5XOAXTiaOYCo+hzczq1n5sOn4UR1MDOdc8RnPUPiLS8/wWBPuCX9NCP5OP9/JdJ1uX04bLYfcs41bQ9WecGKjTtcNqpPHETqzhAq07NxNx2UQS59+G4LB3KjTtL0wnC6hZtQh1bhZJv/mRpzPu86nj+X8ff4Xc5WLi/z3JwU+XI4sMJ/2Wx/tcEO4NURBoXLeC9qMHGTL9UbQxKRBgp7Iv0tNUtJfyHV+hi88kSpqARCKhtGw9WQNnMSR7LoVFq5gy+Q5Gj84hPEJDm8HC4cMd+9+T87v7c++/hrYynE5TJyd4QXByoOxzFNpwYgaOIXbI5ad9peQqj26St+8V+CdrlpYajm94m8jLJhI95Zqg0o57fvv86dQinDVy0xPOx5bg/qAvEYZgJuzwUeMR7HbEALflvl+qktOwVVdgKjzWJ4HA8wFn+xxxthmoXvI+Mff9AHlMVO8rdMHVhwoYXFPP7D2HeXjN5guK6DhbDLTsOEnmow8HtPxFQXCc7Vbyf/kFSTdchm3IlSEZ07hxB/aicjLvfaZPDNmvVYDTSf03X5M57iaUugiPNH9PreBd0VPKw/svdHfvThx+Vad1ZHIVlXuWe7pi3Aq6gXZt+UP1vtU0HN+OIiqWtPtPa8xIfTzN9QUus4marV9hLSjuiNoMG8yqX/+DnKpabvjFExzMyiD3X7/GarRQ/8+30YzIJamXTqnebuQui4XqLz4AQWDo7Gf9toAHAsHlpGLnV7TVFJIcN5qKyq3EDUwnKXEMMpmS2JgcIqPMLPp8ESNGZnZZewZHDs/hg/c2U1bW2ON2vO0YvNNXNbX7SIgbzpHKpcjkKrKn39NJ68a7zsbcVNGtDscX2qpPULT5Y+JnzSd8xGX9PTQAPLJhNWGnzGABHrwjsBvYmcb5WMfSH/QlEhTMhC3XhRF71aw+F90KdjumwmPosnMvuGN9Ns8RwW6j4su3CLtqEpqRuX1a95X/fcLMA/kYHE7+Avzk/S9JAN7757vc9Isnzsj+hhritjXETR+KIjwwQnbBExzB7qTgpcVEjslAnBB4pKUn2E6WYvh6LRn3PY1U1bfWVH83ktZdW1DGJXh8iaBvtTU9Le8zUtDFvbunsfyltQLZtht2Uysl+csxVxWhHz6G+FnzkeuC83SCjkiaMf8QdWsWo7lsOEkv/witBI488nMUp1SJ33vlXUb/6yXMDc00vPIu+munkpDTO2Hs6UZub6yncuHb6AblkJUz16cnU6CwG1so2vABCl0Elw9/HEF0oVTpO3VEDRps5777b0Gvl5/qgFLgXVqakKjih09PYsmXx9i+rbBbV5XdYfIoGsNpOwZvsb+Kup3oE7PIvOIWv99HoQ4jc8ptneq1oDvBrWjcSeOWlSTMuwVHUz1Ok7HfT91Sl4vnTqU1AHamD2TbwGwsJ4/T1nQce1kljvomBJO547uF6ZAnxaMeMpCo5NEh68TzhXOhfROqlEcg45wpQcO+Ft3aGuqwVlcQN3PeeR298XW8ztY5IjqdVCx7D0VqEuHXTevz+n+/YSZDK2pYXFPPzwAjEAbcVVTGscd/xZpReTzz6B0h3uvQwdXaRsPaI4x64/6A17mgCY4oiBT+ZSWKKB3y634QkjFdhnYaX/+EpDm3BV2U6hnTaqV563pyZpxude0p5ePvs74U/HYlMF3R1+Jhf8sLTgfllZto3rGJyLGTGDjvFk+BabBwtLVSs+FLHLX1xD5+F6rsTK7de5j/vfZRp66Se555AGtBEY2vf0zUnfOJTQzM+NTfjdx08jg1iz8mdvp1pMX0LCTVG1rKj1Ky6SO0sekMTZ7j8QDzbvPWhTXy8CNPctNNc1Gr1Sxa9DkJCcmABJlMQUNDIzfeeD1Wq5Uvv1xGdVUL323p7EXlJjeRkVlERmR06sKKiRpEqUqHXKMnddycXslaj/VEg8ZSfGI57ccOk37/kxiPHwk6PL/49dNdUiJwTVoU5r+/iCI5HnVeNvoZU5AnxCLTd0TQXG1GHJW1WPMLKVv1T5QD0ogfPxNNWma/tn++IVQpj0DGOROChv0x2+wptR/I9s5WDcy5SlmKLheV33yERCYj+p7+KeiXJcTy9xtm8OLrnyARRUzA84BdKuXmmCj+dmNwtkNnGs4NK4ibOQxlTOAPzhc0wSl7ZxP2xnYin3o8JEJxoiDQ+MZCdJMuI2zI0BDsYQdad29BO3AwmqjTxbU9pXy8P3NbLPSnTqc/3U+BQhRFWkoOULZvGTKNhtS7H0WTnBaasQWBhuItGL5aS9hVE4h99A4kCjlv/us9Zh485lnOrFBw+V9+Tu2JEpo/XEzyjfegS8zuYeTO8HUjb9m5mabN3zJo6r3oYwYG9T0ajm+nYtdSBKcdY+1JarX7u+nXuFx2/vTnR1GrFWg0Go4fL+Dmm29h6dLlJCTEUldXz403zuX48QKGDMlBq9Vw082D+WZtC1GRWUSEZ3jITXT0EPJybupUp2M01XGg4GN0sWm0VRXQdHJPv84LhTqMuJxJFO75BJfFTMZDHYXb4ZrOJLHPk40gIHjdrDOjI1CkJJK8YBayyHCfq0i1GhSJcWjHDifq9rmYtu2jasn7qLIySLziBhQRkX3+fucTQpXyCGScUGzLlzRGX802g9mPs0k6zkXKUnS5qFz9IYLZQtxT9yKR9z+afP3uQ2jVKgaOymPq9n1oJHCvKPKbG2ZQHn/mIqHBwlFdR9Pm44x+u29eW+eU4EgkkmjgbWAm0Aj8XBTFTwJZt3b5AZq3FhLz/FMhc081LP0WgMTLrgvJeNBhgtayYzM5Mx7t9H5PKR/vzwKtfXGjr8v3B+11JZQdXIooCIQNycOwZzuWksKQEBxbXQ3Vaz4DiYT45x/xeKsonE4mnDitwpyfksDs3zyHcdNODF+vJe2OR1En9V/JU3S5qF/9FebSk+TNegqVvv8Xuyi4qNi1jLbqAkYPe4CmlhNAZ20bt37N8OFTmDr1amQyJUuWrODGG6/n+PECFiyYzyefLOSOO273kJslS1YQHR1BRIQGmbyaltYKJOVyv+SmuaWIIyc+J238PMJThnRLO/UFdmMLxze/iyoxmeQf3INE3nHr6EoS+zLZhLe1sOUfv+PXOg0vAv/virGI995EeB8eViQKBWFTL0c7YTRtqzZS+ubfiLhxJnEDrwiJztK5QKhSHoGME4pt9SaNEQiC2Y+zqYp8tlOWgsNO5YoPEF1CB7kJcq7736ypvHjHfF7+5GvUahVxV4xFt3Uv1+0+zMqxwRsOnwmIooh58Zek3jEx4NobNySiGJhC7ZmARCJZCEiBB4FRwApgkiiKR/2tEzY4UUy//0pO/mUlsT99AkVCrL9F+wRrQRFNbywk86EfI9f7fnLsDwwHdtN2eB95Vz7Sr/V9pav6mt4KtAOqN1gN9ZTmr8RaXUHsNdcRPnwMLos5JDcPwWGn7sA3GDftIuLGmYRdOR6JVIrKZkMURexqNVlVtax++RUefexO1o0eStvKjRi/20X67Y/2mE7stZjYaqXmiw8QRZHBE+5Grux/R4HLYaV440cIgpNRA25FIe8Yy+4wUVm1A8DT6p1f8CVXXz2cf//7dWQyJSDS1FTPggXzyc/P94yZl5fH4sVfExOTAIi4XHZeevEVVq/eRkL8CBqbCrp1WBU5DlC1bxVZV92DPjE4cUNjfRknv3uPqAlXEjXpqh6JQ6CTibnkJGXvv+ZJNV7+h+epDcETpKO6jqZ3Pkeq0ZB87e1nJJpzrlvHzxX8fe9QHo8zcWzdHmhxM+ZcUJ1wLrOJiiVvI4uOJOaBmz0PFaHAiJIKqqMjaYzQE2toJ6nFwOHz1OrBtPMAlrXfMuI/9yD1E73aNvPPe0VR7FabcM4iOBKJRAfcBAwTRdEIbJFIJEvpUGb/mb/1BLuTwj+tIPrxe0JGblztJpre+pSkuXeElNwAGPbtIHlQ74qL/uCvgNhflKavywcCu8lA2ck1GAsOEzXpKpJuuhOpQgmE5onGdLKA2m++QJmRQtLLz3pSE4+vWM8Li7+hPjyMLXnZPPfwbWS/8QdEUaT18xVYjxaSec9TyMN7tuLwFVVw30i1WTnULvkYZWIK4fJ4RMHV7+9hbqml8Jv/oU8exOjkG5B61brU1O6jtGw9cLoAOC/nJgYPjqWDtNgASEiI5ZNPPmHUqFGedT/5ZCHJySmYzWZkMgUymYrBgydxoqCDPHkbbAqii/zGbzFUHiPnuidRRwRWR+aPBFe27qVhw1IS598aUNq2t/PB0dpCzeYlLN93pFNLeCjIDYAiOYGEnz9B28oNlL71N6JunxewhlWguFhax/uKs/G9z8Q2LsROOHtjPRWL3kIzKo/IH8wOSQmGNw4NOB1tb4zQ0xgRfEPImYDLaKLti6Xk/PoGv+SmJ5zLFNVgwCmK4gmv9w4CPbIBa1UrWc/Nwp49ICQ7IYoize99gXb8KHSDgtfP8YajtQV7Qz0RV+Wdfi/IaIrDauzRjdoXeuuA6qpyXJ+/FSQi0QNHU12zC8OBXUSOuZwBT/4saME8bzjb26j5bjG2kkqi75qPZnhOxweiyN4f/ZbYdhMACW1GFM6OFmLR5aL5g8U4quvJuPOHAe2Prxuc+0Yq/e5bYq6cjrJFpGrPCgSXw2NH4Ov38ff7WQ31FKx4FcFhJdwR0YncAB6vKFHs+D90iPS1Gcy4XHYAJBIZ1dX13HFH506GO+64ncWLv0av19JRhiuhubm1WyeVw2HmQOnnSJCQO+dpRFHwqbNkMdRRuWsZqePnoonoKOjsSoJFQaD4xAqMBYdDoj4tulzU56+n7ZtNXDc0m6u9Ascv3LMgqLG7QiKTETF3OurhOTS99SmW1KMkX3VzyM7dC3HCDAXcGjcuu71T11woScmZOLbnygW+vzAeP0rN8k+JXDCLsCu/X+dYV9iWfE7s1Bz0eSn9Wv9cEpwwoK3LewagG5WUSCSPAI8AyLRK7CHSugEwbd6Ns6mV1Dn3hWxMN4zHj6AbnNdpsgs2mtJUuJuag2tIHTsnYILUW8dUV5XjmoMdLbu1RzYSMXo8Ax7/aa9Rkr5AFAQaTn6HYek6wq4cT/T9NyNVdUSE0mob2fSrvyLzSp1+NW4kzzx2R4ey9JsLES02Mm59HKkqsG4tXzc4eWQMEoWSuJnzSIu9HEesEQkSj9Ad4NGFqc/finAqwmJuqqa9prCTEJ6poZyT695Bn5iFoeJoN2sBk7mBQ0c+xmJpAKCxqQCFQktN7T704RNPpaegqamVG29cwIkTx8nLy/PU4OTn5zN//ly++GIJcXGxuFw2vl76Bu1tUk9UKDpqEIdOLCQyfRipY69HIpV5dJbc6sQR6XkYyvMxVB2nvaYQgOwZHUV73iTYaTNzYudHIAhkPPxs0MTAUllGzerPkEWGk/Kzx1n6q9NdU0alkkVTg+tU8wdVZiqJv34Gw5erKHnjLyTOvjkkzQMX0oQZ6voTqVJJw9rlnVSKu6q3B7PNC+nYhhqiy0XtvpWYtu0j7sl7UA3KPNe7dE6hOrmZhqJ6Rrx2b7/HOJcExwh0zQeFA+1dFxRF8Q3gDQBVZmrIioacDc20frma9Ht+iDSE+U03zCUniYvvXLjlPZH0J5rTV+2cvowZkZ5HVfUOkMlRxSWQOP/WoAp3fcFSWUbN2i+QqlUkvPAoiuTTLaFDSytZ+dtXOy0/9i+/oCE6AsFmp/G1D5EoFaQteLhfv5f7xitVqmjc+A2Dpz+EPrajPsVb6A6J2Fnl+eCaTuOoI+I9Qnja2DSKN35IbtYNRESkU6NI62aUWVi0CoulAY06moSEUSQljvEUGbtcdvbumUbmgGRuvHEOJ04cZ8iQHBYv/pqkpEQWLVrEjTcu4PjxAn7wgxtZsmQ5x4+f4PDhjR5jTXu8lv373yV9wo1EDxzt2W5Eeh7ttUUIDgc1B9bSXluEofIYCcOmIpXJPf5j3t/f0lLDie/eI2xwHnEz5gZluyDY7dTuWYFpx36ibp2D9vJRvPf3tzypKREY+tpv+jV2oHLzUqWiw0duzDDq3vuCluK9JF254KKqnemJUIQ65eMrwtK1xfv7msILBvaWJqpWfIRUpSTx108jC794zs/+wFHfRPVr68j7/c3IVP0vrD6XBOcEIJdIJNmiKBaeem8k4LfAOJQQBYGmdxcRPntqyMwfu8JaXYFu6BzP666Epq9KxtB3/Zqe4N6f8NQcTIp2qle+in7oSAY++TMUUdEh2YYbLrOJ2p3LMB84RtTN16GdMLpbsWpLmBZBAlIRGsN0TPjrz3EoFAgWKw2vvIcsNorU6bf3e9L1pKVUanJnP9Wpbd8NhTqsu8qzw+6J4EjlSqIHjsZQno8yLIriDR8wfMhtREV1tJS728C9kZ01m8JTf931Mm4S5HLZ+clPH+Odd97FarUwePBgvvjiC/R6LRaLlZiYBL76agU33jgHq9WK2Wzhy0XHyRo4i4T44Zxo3kx7/l6GzH4cTVRSp+0ayvMxVB5DG5tK6tg5RKTneYw0fRHqauMh6tZ8Qdy184kYGZiWkD+Yy4qpWbEQ5YA0kn7znEfDZkrB6U64Ob96st9Gmm65+asOH2fp5aN6XV49ZCCJLz2L4as1lPzvz0TeNIvY9IkXbKeVN3oiFKFO+fiKsHTdRteIztnGhVQELooijWXbaf1iFeHXTUM/44qQ19tcaBAdDtrefo+0OyYRlh3c3HzOCI4oiiaJRLIY+I1EInmIji6q+cCks7F946adiA4n8bn9e8Lo7SISHA5cpnZUYdEeIuFy2jyeT4nDrzoj0Zi+oPbwBuqObERyYDWRl00k8/GfhrzrRBQEGku30frVGrRjR5D8ux97/KMAItraeWL1Jv5w8/VUx0bzr+uvRi64+MtNHa36LqOJhn+8g3JAGslTbur3xS+KIvbWZmS6MIZc84hPcuNGN5XnMZ0FsCyGOppLDmJtb2J03l1ERHQ3dvWuj9Fp4xg1/B7sDhNlFZs99ThJiWNwOMwcOnKY3//+//H551+g04WRkJCMIDg9asZxcfEsWbICs9nMki+PUV1lJi4ml30FHyCRyBg842FU4Z2LdL1rteJzr/AQGs3w7iJqouCi5OQq2o4cIPWuR1En9z9qJzgc1O5ejnnnAaLuugHtmGEASASB5S+/wn1P3cdHr7zD+mGDOTKg77ICXeXmf/Hmp/zpvS8CUmGVqpRE3ToH3YTRNH+4GJNsD4nX3IQ6qX/5/fMFPZGYM53y8XUfDEa0LxS4UCJIjpZmqr/9DFe7ififPowyNan3lS5yiKKIdfGnqFOiSbxhTO8r9IJzLfT3BPAOUA80AY/31CIeKjhbDBi+Wkv6PT/s94TZ20UkWMxI1VokUqmnxiVp5ExSx87xTKChisb0JdUliiLttUVUFX+HpaIU7cBs4mcvOCM3IktlGbXrvgSZjPhnH0CZ0Xkimbd9H6++9RkicP+6bfzfbfP5h5eapsvQTv3f30I9bEiHr1Q/n7ZFl4vaZYuwN9YxfP4LyFXaHpfv7Xcp+W4h5qYKwsPTfJIboFMKSiZTkpQ4hsqqHZSWrae5uZCW1iLPshZLA1u3nuDf/9rKgw9dS2Ki1FOX40ZdrY0P3ttGaWkDJcIRKg4uRaHVY2mppqXskM/OuUBqtRxWI4U7PkIUBMJHjUMeBMG11lRSvewj5EnxJL78I0/UBiD/0V+gFUTe+fd73PCzxzmQndmvbbjl5j+va+RXoohdIumzCqsyI4WEX/wQ0+bdVCz8H9rReSSMux552JnrJPFFBEIVafBFYs5WFMPXffBcF2Gf6+33BtHppL5gA22rN6GfeSXh114ZlHjfxQTZnjWYTtYx/B93hiS6ek4JjiiKzcANZ3u7LZ8sJeyqCZ1SU329IfR6EUmlcKpQtjfbhGARSOGy4HTQXLyPmpNbEJ1OoiZcSfIP7kaqVPpcPhg4je3U7lyO5VABkTfNRjdpTLeT9dM/vc7EEyVAh+OSVS5n6cSRp8doMVD/1zfRjh9J4ujZ/TrZnSYjhn07sJSVIIoCudMeRaYIzkaivbYIq6GR8PA0cofc5Hc57xSUm+gYDGUAhIUlER2d3alWJylxDKWlDTz00HOMHHkVI4YPQhcmo6zsCNXVClqbnTicFo5WL8fcUkPMoLHU538XkNeYPwJsbCjj5OYPCR8+GqlaQ+O3KzoVjwYKURCoO/It7Ws3d9TadEk/Lvrtq2iFjmtB6RL6TW7gtNz8r1//BGQyHhCEfqmwSqTSDoHAscMxLFtHyet/Qj99MvG5VwdcvN4X+CICZzLSEMzYfbkX+roP9hQ1OhvEyx/ha921BRGIGn/FOUtdmU4WULtuCfKYKBJ++SSK+Bhc7SZMW/egmzy200PB9w3mA/kYPt/J8H/ehUwTmnnpXEdwzjoshwtwVNaQOvvuTu/39YbQW+hXptEi2K3YjC00Fu4EseOGHyrRPW/0lOqyGuqpKN9M24HdaNIHEDf9erRZQ85Inld0uagv/I625evRTRzdLR0FHamK44//CpXztN7MgYwU5v/6ac9rZ2ML9X97k7Ap40kYPqPf+2PYu53G9atQxicxbNazndyz+4O26kJOrnuHvME/ID7Od32Bd2oqI20KdocJmUyJy2WnpbUIjSaO5KSxnbRr3Mt5m2W2Njs9JplZA2cRrk/h6MnFRKTlkjf3R7icNpTa8IC8xty1Xu7OL7lKR0XdVpo2rSVh3i3oc4bhNBmRSCR9fup1tDRTtfIjkEpJ/L+nkMdEdfp8aHEZ40srPa9/ccfcrkP0GdfvPoROrUKcew26ZeuCUmGV6rRE3TaXsKsnYVjyDUUbfk/47GnEZV2BNEQK6eCbCJzJSMPZsj7oawrsXKWP3PYRQL9IfLCw1VVTu2UZzrpGIm+dg2ZkruchwLR1D62LVgIQPqv/mmkXMmzFFbR+8Dm5v7kJdWLoOna/VwRHdDhpWbiMhBkLut28QnWz8X5CUcYlUbThfcyNFQDITonjhdpKoWtKxeWw0VJ6kLry3dibGlDGxiM6HeiyBqPLzg3JNrvCVHSCunWLkUWGd+uO8saOn/yhE7m55ScPsTP3tH+Us6GJur++iX76FQE5gnvW6/Jk6LJaMBYcRZWcSs6Uh4ImN7b2Zk6ufxfBacdibfa7nDsN5XLZGZh5jcct3GRuoK7+MBZLA41NBZ0IDnSktNyWC+7ITmxMDi0tRTQJNZTkbyBz0s2eLimpXNEn41V3B1VDwXba7bXYmxpIf+hplNEdYpn9eepurNpFy6fLCJ81Ff3MKd1Jsyiy/P+95nlpVCr55JorAtrnnuCWm2+M0LNkwmiSWgxBj6mIjyH20Tuwl1dj+GoNxas3oZ81lbiBk/sU5fR3rHxKFZzB+pgzaX0QDM5V+sit4SOe5W3bmxup270a69EThF93Ffon7+mmSKyb3FHQnzBmKEt/9bdeOwMvNjiq62h+7V0G/Xg2+tzkkI79vSI47eu2Ik+IJczHJB+qm433E4o8IgJTwRH0ydmExQ3oFGEJpLDYX7TH1/uC4KK9+gR1dfsxHj+KJmMgUROuJGzIUFxWi+emG2rYmxqo3fw1jqpaIm+Zg2Z0Xo/ppOceuJlP/vE2IjDmH7+iOfx03YOjrpH6v75B+HVXET+ob1pH3sc9LGc4Fe+/hnbgELJH3YxEEly0ymm3UPjtWyQOvxplkw2Xy47dYepkjdAbGpsKsFgaOhEYb8TG5NDSWkJ21mzPuJVV22luKURuDUdw2LCbWvu1/wp1GJlTbqPm4DoaSvegHZBF+oNPedSoe0PXp26X1UL1xi+wl1US/6MHu9VWubHq13/H+8gP//dL/dr/rjiTKqzK9GTinr4Pe1kVhuXrKFq5Af01k4nLviIgPaALpcC1J5yvxCvY7cZeNeusbc/e1ED9/rVY9ucTds0kkn//U6Qatc9lZXod4bOmMu+7nQyuqWf23sN8PuX8rB8KNRz1TTS98iYZD08jesKgkI//vSE4LqOJtlWbSL/3yTO6He8nFP2wMZSWl6AZMYyUpCv6nJ7yV1vjfl8UXGiik2loOozx+FEU0bGEDxtN3Mx5nQomz8RNxWW1UHdgDaYtu9FfeyWxj93h2whOFDn01Eu06DRM/dPP2DpsMPf/8F7Wj87t1CLsqG2g/q9vEjFvOnEDJvd5f9zHPWzIMMrf+w+u9jb08rigyY0oCJRs+hh9YhY5+isoa+1IG7ntFrrC7TMFHQJ/7m4pN6nx9ozyTmc1NhXQ3HycQiArczpHy5dhbq5CHZVIxqQfYKor7VU7yd9noihSazxKU+nefrWAe5/TlopSqr7+CM2wwST+39MegcbuB04kt7re8/Lxh25FCEJT52xDmZFC3A/vwVFdR9uqTRR/83u0E0YRlzcVZWy83/XORCT4fG91voTTsNZU0nBgPdajJwi7aiJJv/8psjBth26Tn+iMuzOwze7gL8CP3/uSlz9ZGlBn4IUMZ0Mzzf98ndQ7JhI//cxICnxvCE7byo1oLxsWVLdQIDedrmQi/b4fUvHBfxEnuVA2uajauwLoTFi6Tkzu1xHpHRYP7miPKIpYDfWIgoAiNp7qI+tRJ6UQljOcjKnXoojsXP/Q3+/QE0SXi4bSbRi+XotmRA5JL/8IWWR4xwX88r86XcCDKmtY++I/kQLhFit/emcRLzxwM+vH5HUa01FTT/3f3iTihpnEZfRPJUCuCyN81HgqP3gdfe4IdEIEsdnBPwVV7l2OuaWWSGkCdoepE1HxBaVCh0ympKh4NW3tVZ6amoy0Kd0IkbvTyj1eS2sJzc3HaTEUIbo6rCmsLbWY6kq71dNA9xSnL0Jsa2/ixJb3ERwO0u5/sl/nv1wXRtTEadQd+ob29duJvnsB2jE93JBEkbvXb8OkUqKz2Vk/bDArJwbf8nkuoEhOIPKW65FFRSDYbZS9/yrKjBRihk9Bl53bLS0X7MOE+/oU7HZPzYj3eBcC8bkQ9jGUEAUBU+ExGvdvxFnXgH76FUTffSNSjRpXu4m21ZuYqVb51W3SWW2oHQ7+BPyGDgXcFx0OdDb7Ofg2ZweOukaa/vk/Um65nMQ5o87Ydr4XBMfV2oZp824GPPZ8UOP0J/ysik8k/cGnqf1qIU5jO5HpwwhP7Zwi6zox1R7aQN3RjVjbm4jKGE5Vwy6sVeVYykuQyBVoB2QTO/VadFmD/YbN/d1kggmhm04WULf+a6R6Xbe2767Ca/eu3cJvPl3Waf0/Lejeyuuoqe+I3CyYRVz6hG6fBwqX2UTlB/9Fl53LgEHXhaTFsKX0IPX5WxAFF2Wmjcjl6k5ExWRuoLBoFZnp02hu6dCqTE2Z0KmGpjFygF8y5E5LxcbkIAouXDo5MqOG1LFzsZtbEJx2pDKVz9Rmb51TAKbGSo5/+waCxUTs1bO7kZtAJyKHoYWqFacKiX/9NPKonosAjz76C8JcAicTYnnsyXso9FOPdaHAtHUPbSvWE3nzdaT85eeYdh2iYcMaar/5At0V44gdOAFFZGiEMd3XZ/TUmcTNmNMtEhSqFNiZJCEXQ5ouEDhNRppKd9C+YUdHlGb6ZLTjRnSqsbnmb2/yQUUNieBXt+m3t81lWHk1tJ52LqqNDOc3twVfkH8+wl5ZS/Orb5J212QSrhvZ+wpB4HtBcNpWb0Izdjhth/cGdUH3N/ysjIoh7b4fYi46gWH/TgpW/xupSo0iMhrBZkUeHYs6JY0WUzktm9/EXNah9tpYuBOjqQaJVEL48DHEXzs/4Bupv5tMf76Dtbaaus1f42xsIfLm69CMOl1n00147Y2FvPLGwk61FzUReq74089wKjqfbh5yc9Ms4tKCIDcWMxUfvI5uUE6fyY13tMxQnu+JojltFoo3f4YouIgIzyQqaqBPC4bm5uNYLM0enymXy47J3EB21mwUitN6O+50lFvkLzYmx7N+vkrEVF9CdNZlJAybRmTGUL8pzJ40etyfiaJIWfV3NG/+lrhrrkOwWXz+3oFMRO35B6ld/SX66VcQPntqr913f3jrU8JcAgBZdY2cTAzMzfx8hrsIVDd5LBKFgrDJlxE2+TLs5dUYN++i9M2/o0hLIipnPPrc4UhVvmstAoH39enrPhWqFNiZJCHnuw5NMBAFAXPxCZqP78By5ATa0UOJffR2VAPTfS5/4p4FPP+v93CZLDwvCD51m8oSYqmOjuTJ1jbUUgkPCSJlUZF9lj64EGArLKX59ffJfPxq4q7K632FIHHRExyX0YRp614iL5sc9AUdTPhZIpGgGzQE3aAhiIKAo6WJ5i3rMOzfhSIqmojRE5AoFMg0WsLHTMCwZxvxs2/EdOIoDWuXEzZkaJ+eEv3dZPryHRyGVpq3L0W26yCRC2ahmDGlmyBVV+E1h0TCL7yMMleNyuWxp+7rPra75mZB38mN99OnRCan8sP/oR0wiAHZ1/c5cuOOnrm7jKAjila5Zzma8DjMzZVERQ1kYOY13dZ1WzB4R3AMhjJaWos4ITiRSOWeFBVAUfHq02moU3+lciW29kYElwNbexONJ3Ygulzd1JMDhcPSzsm9n+Eym0h/6FmU0f5vkj1NRILdTs3WxVjzTxL31L1+b+De0LcbuWP7fs/ru5+6B/EikJ13F4F2hTI9meg7byDqlusxH8indft+6r5ZgmbYYCIHjkE3KLfPrebe16evKEuo6unOJAm52AwzRVHEVltNc9kezDv3IwvXo7tiHNH3LOgmg9EV1QPTabvrBn79+ifoetBtsqgUqNUqXPOmo176LRZ16PXJzjXMe4/Q+vEXZL8wh6ixA87KNi96gmPcuBPN6KFETbgSmVp9xov/Agn9SqRSlDFxxE6fgzI23uey4Xkduh7uFFRf9zuYm4zLYqH+8FqMm3YxelAG6wSRX0VHstSH2mZX4bX7BYGi+BgG1Ddx5R+ep8LHU0hHt9SbRNw4s19pKffTp+hyYTpZgDo5jYFD5nYjN4EUdbvTObqETKDDoNLUWIGhIp+xwx+mvvGozxST3WGisamA7KzZNDYVkJoyAaVC50lbqVWRVNfsJCoyq9P6sTE5VGtjaXbUIFNpSRs3n4jUHJpO7sZhbe9w+Zb0z0/WUFlA8fbP0A8diSZ9YK+Cdf7OEWttFVVff4gyI4XEF5/x2/3RFYee/a3n/yKwedS58SI625AoFOjGjUQ3biSudhPmvYdp2vUdNUs/RTNsMBEZowjLzulzZOdMRlkuNhISaoiiiL2+hubK/Zj3HEJ0ONGNH0ncjx5EmdI3f6RAdJv+dNNsqqMjQyp9cL5AFEWkO1fTtngPef/vZsIGnxnvR1+QiGLIzLnPClSZqWKilyhcTxBdLqpf+COptz6MOjE0fjPNW9fTsHY5cTPm+LxBNGxYTfOmNR059CDaEs+ktLs/CA4HDYXf0bZqI1epVPzX0EaY08VHoshdEgkRCrnPyv4DT75IhMXK0fRkMmvq2Tgyjycfv9P392popu7PrxMx5xriBvZPE8WtUGwqOo4iIors0bf67JZyF+Smjp3jN63T1Scsdewc2qpPEJUxgizlaJ/rAB4RvujoITQ3d5hfehcRF5euo7RsPZkZV3uiP1abgRNNG2ktP0riyGuIz5ncSZ+nL1123svK5CqKT6zAeOwwSTfegbW6vMdz1B9EUaThxCYMy9Z1eDZNCrww+OsX/8moyhrP6+zXfoP9DCgCX0hwGdox7z+KZf9RbCfLUA3KIDxtKLrsvB4ja25834p1Q4FgjpnocmGpKKW1+hCWA/mILgHtmKFox41AOTC933V9I0oqPOQl1tBOUouBw5n993u7kCA6nNiWfIqxsI7c3yxAFR9+Rrazbeaf94qi2K099KKO4FgOFSCLiQoZuYHeQ7uSLn/7i75Iu4eiM6qxYgeGpd+iTE8h/qePYJfL4dX3eacHzx+lzUb+Uy+hOFVzMby8mp/efSPH/Fy8zqYW6v76BuGzr+o3uYEOlWhbbTUytYbsUbf4bQWPSM+jvbbI043mC119wlThsRgPrCVKnoQp4XSbd1fNm94KiRPiR9DWXkVC/AjsdiOFbVtpLNxN3JAJDLvpZz79sPriTebeb7vZQGtDIar4RDIf+zEyrQ7lKQuSvkT9nMZ2qtYsRGg3kvDLH6LoS/5fEBjpRW4efOLO7z25AZBF6NFPm4B+2gQEixXr0ROYDhXQ+P63SNUq1EOzCY/LQZs5CJmme6rjUpSl7+hr1MthaMFcdIK26nys+SeRxUahGZlL7GN3okhPDkmzwpnUbTqf4Wwx0PbWuyhj9Qz/xx0hs1/oCy5qgmPaupeovMtDOmZvN53I8VcgVSqDToX1Rdq9v6FsURBozz9Ew+aVyCLDiX30TlSDOswjy6BHz59r9xzif//9uBORm/uLJziU5dt80tnSRv1f30R/zWTis/sm4tdpn0WR+lVLcJrayZ3yMBKpf20VQ3k+hspj6BOzfLpow2kSFJ01Ck1EAgUr/4PgtFFWvol2Y22nNm9vuBWKARQKrUfPxk2E3Lo2R+R2rK21xGRdxtAbn0ep7XiC8Y7AAH2274jJGktz60kaS/YSP+sGwkdc5rkZ93ViNJ08Ts3yhegmjSFi/sw+G//d/N1uz//b1Gq+vax/tgkXM6QaNdqxI9COHdFRg1dRgzW/kObDW6j56mMUiXGohgwkPDobTfqAgEQFL6E7ensAdba3YS4ror2xEOuxkwgmM+rcQaiHDyHytnnIo85MhOH7Buuxk7S88wlJ88eQctuEkBDF/uCiJTiC2YK14CQp155doaRQPXX1Rdq9rwWDoihiOn6U+q2rkMhkRN0xH/XQ7G4nob/c8av//Yh5ew57lrMoFIz/y89p82MU52o3Uv+3N9FdMY6E3OCOTfPmb7GUl5A7/Qmk8tMFnN7dUM3F+0GUEJ01CuhZNborCXLZLSQmjEGtjiQhfkSPbd5ueNszpKZM6CBHsjYkMjmayESyrrobpbZza7W3NAB02He4nDZkclWvRMfa1kjRrk9BJiXz0ee6FZ8HGtETnE5qdy3DvPsQMQ/dijq370qiK178B4Or6/jvrKmUxkXz2dTQPlBcjJBIpSgzUlBmpBA+e1pHGL+4HNuJYpoObcb21cfIosJRDcwgLCoTdUo6qvgkJBeQUOK5gvc9UnS5sNXXYKksw9RSgu1kGYLRjCo7E9WQgcReOR5FWpLfzkC92cLi37/2vbNOCAaiIMDm5bQsP0D2C3OIHO37gfds4aIlOJbDx1ENGoBMffGfmIGSKlEUMZ0soGHbKkSHi4j5M3q0VvDl+ZPS0MTcPYcR6UjDHU1N5LqXf+R3m4LZQv3f3kY7ZhiJI2b28xt2wHBwD617d5A36ylEwUXt4Q0eMuCrG0qmUPpM+XhHT3QJmagj4j1Fxg6rkawhM1CpOp7kunpG9QSTqZ7dh9/A1t5IePIQhs7/Ma3lR5FIZd3qa3zp2bgc9h59ykRRpLJhB40bVhE9ZTpRl/vwfyKwiJ6toY6qpR8ij40i8aVnkIX1PWJwz+rvGFZZC8Cjqzcx8K0/dlKnvoTAIFHIUQ8ZiHrIQKBjYnZU1WErKsNYXELT3u9wNbWgSElAmZ6CLiwNVUISyvgkZOr+t6RfTBDsdmwNtdhqqzEZK7CXVeGorEEeG4VyQDqqQZnor52KIjk+YKPhrtpel9AznM2tGD/8CCQw8j/3oIw596m4i5bgWI+cIDzt+9HF0Rs8xGb7akSrjYh5M9BcNqzXC907d5zQ3Mq1e49QmJqIBPh00hiWjxvB5hH+zTsFm536f76DesgAEsdeH9R3MJecpGHNUnJmPo5SG+EpIHY57MgUSiLS83A5bQhOO+rI+G4Ced7wjp601xZhNdRTve8bIlKGIFdqsdpaPQSnK7ztFRRyLe3GakxqK1K5CrOknYRhU3HZLMQOudxnlMbt6O0mOW7Skzj8KhxWIzKF0ud+24wtFO39HMFq6VWRuKeIniiKNBRvwbBkDRE3ziRs6uX9Ch9rzRZ+u2iF5/W3I3IukZsQQSKToUxPRpmeDFdNBECw2rBXVOMor8ZYXkrL0R04quuQhmlRJCegSIpHq0xEEROHMiYWuT4i4In8fEFvkUdRFHGZTTiaG7E3NWC21+CorsdRXYerxYA8MQ5lWhKKtOSOwuD0FKSavteCddP28iHOdwmdoT65hZL/riPpxstIueVyJLLz49y7eAnO8WLibpt+Rsa+ULobRFHEdCKfhh3fINochM+7Bu1lw/t84/vtB4u5Z9NORKCWDkXOu7bvZ96ew34vetHhpPHfH6BIjCdp0o1B5WDtjfVUf/EBWVfchSayo4A2JnscLocdY0MJ7dUdGjQyucrTCeUvclN/bAtOiwl9cjYR6XnoEjKxtTehjoijcs9yItLyKKhcxais232SnKqqnZSUraPWeByH2YBEIiF6wGjy5j2LOiLeE6lx76P3X3d0qalwN4nDr+pEgLzJTlcfqcrGnTSuX0nUhKlET76q11SFv4ie02Skeu2nOJtbSfjZYyiS/Hsq9YYjT710eh+BR565v99jXULvkKpVqLMHoM4+rR8iCgLOxhYc1XU4axsw1pbhPLEXZ30jgtmCLCYKeWwU8phIZNFRaMRo5PoI5Ppw5GF6pBrtOauN8AXD3u00rl+FvbUFXWYWDkMrVqEJZ1MrzsYWnI1NIJGiiI9BnhiHIjEW3cTRKJITkMfH9rl2zB+6anv5arC4mNGX1Jyr3YR1yec0FNeT+7ubCBucdJb2MjBclATH1WZEsFh7NMULBue7FLm7eLhx51oAIuZcjWZM7xGb7gOJHHnyRfRWG9CRknoP+AX0eNGLgkDjmwuRaFSkXH1rUE+SLouFyoVvE3v1bMJjsz3vK9RhyBRK2qsLiUjNDcipvalwNzUH1npeG8rzAbAa6olIzSMiNZfUsdfTXHyAHfteQROVhDIsGkQRp9WIta0Rh8WISh+LPimL6MyRaKKSOk0SXW03vIlW5pTbOhUWe//17SPVTNG+RbgsZtLufQJVQuebR1+ItqnwGDUrPkM7YTSxj9/ZSU6+r3j9n+/iPZXkhsgl/BL6Bom0Y7L31fEm2Ow4G5txNbbgbGrF1dJKW3MBroI2XK1tuAztiA4HsjAdUr0OqU576p8GqVaD0qZBqlSd+qdEIlcgkcuRyORIZLKOa1oqRXKqzUBEBFEEQUAUXIguF6LTieh0IDgcCHY7gt2KXWVBsFgRzBYEkwXBZEJoN+FqNyE6HEg0asz1JdhdBmRREchjIlFlZyKLjUYeG40srHv3YajRVdvLnzjfxYpAUnOiKGLZcxjD518Re1Uug34yG5mqb6KWZwMXJcFxVNehTEk4Y08n56sUueB00lS5k7ZVm5DqtETcMBPNyNx+HYdRhWUs+eNrnSwXPp18Gfdt24cglfq96EVRpPmDxYgWK2kLHgmqMFIUBGq+/BBd1hDSYrsLAnoTBHfUw18kxP2Zy2nDaTFhbW8gIj0Puaqj9sTltHmKjVPGzCJx2DRMjeXYzR3+MHKVDnV4LCp9TI+ErSt56Vp7405FVe37BiQi8blXdKvJEQWBivptNG1cQ9SkaURPmubzOAZCtAWHnZodS7HsP0rMw7ehzsnyu+8BQRSZdbjA83LN8CFYfLQ4X8K5hVSl7BCk60GUTnQ4cLWfIhhGUwfhMFsQzVYcMiuCtQ3RZEe02REdTkSHA9HpApeA6HJ1kJlTY0kApBKQSDvOVbmsgxAp5UiUSqRKBRK1CjUyHtlziPfmTcceHdlBqMJ0yMLDkGjU501EKRBxvgsRPUVnAk3NOZtbsSxehLWqhZxf34A+L3QyLKHGOSE4EonkSeA+YDiwUBTF+0I5vrOhGXlcaMzvfOF806dwWa00Fm2hfe0WFCkJRN+zANWQgf2+WQyurOXrP77meS0AxXHRRJosvV70hsXf4KisIeO2J5AGESUAaFy/CtHpJCt3nk8RPF+6Mb4iIW4o1GGkjJ5F7eENNBzfhqE83xNlcViNng4m722FJw/2rO+wGqk7uqnHLqeu++Rrf5oKd1NzsMMpWiZXkTj8Ks96ltZajm9+F4lUQvqDT/UYheyNaFtrKqla+hHK1ESSXnoWqS74p9/ff7DYIw1gUil4+NkHgh7zEs4NJAoF8uhIiI4M+dj+JtL5O/bzuzYjtVIpX9bUo5s8Fpmf7stzCV8NFhcDeorO9JaaE50uZHvXUv/pDpLmj2HIL+chVZ7fMZJztXfVwO+Aa4GQP/4JJjNSH10h52PtTDD75GhtoSF/I6ate1EPG0zc0/d1cvjuL+xSCZXREaQ2G6iKiuBPP5jNv978lCWTx/LLexb4vejbv92Ked8RMu5+KijDQafJSMOaZZiKjjNs7o+RSGU9Ehdv+HPbthjqqNy1jNTxczst401m3OO6C5i7bqunffCnQuxLbNBdP4RE9OyL4HJSVraO1t1biZk2i8ixE3tN7cl1YYSPGt/t/BEFgboj39K+djNRt81FN8G/InNv8J6o/v3aRyhcLn51+xwuP1HGk4/chqu1DUdDE0K7CQQBiVrdUfcRF/29bmv+vrcYd51Iu0YHkj5YTCswb8d+Nr707LndWR+42MT5AonO9JSasxYU0f75YpQxYQz/551oUs9cACGUOCcERxTFxQASiWQsEHLNatHhRKLo/tXOx9qZvu6TKIpYK8toPLQRa/5JdJPGkPjrp5HHRgW1H9mVtXz5x//y7IM3s370MO5/5gH+9fpHZDS18vO3PusoLP56LT9cucFzUXhf9KbdB2lbvZGMe58Omjw2b99I28HdxOVM7pR68v7rD/7UgCt3LfO0j2fPeKhHMuNvW+4Ul8thx2E1diIy/siPL7FBhTqsk5lme20RJbu+6DBdvWwi+qEjcVnMARHfruePvbmJ6pUfg0xK4v89hTwmuPPCPVG99N4XTDt2EoDLT5SQNC0Hw89/j+gU0KRGIY/QIpFJcZlstNUacLSa0OemEH15FvZBE5BFfr8E1L6vLcb+JtKtOVlUxUR5ogM/l0j4aZiW7+696Vzv8vcCgRZOd03Njdmyh88P78ZUWEvmI1cRfcXg8yaNGAjO7/hSPyFRKhBM5m7vn4+1M4Huk+B00n70AM0HNuNqN6G/ZhLR994UsBFiT1iwZQ//eHcRAP9+41Py/vs7TqQm8uhT9/H2q+/3elFYjxfT8vHXpN35WJ8cz31BdLkwnzyOLjuP5NGndXMCsTHoycspdfzcTn/d8EVm/G1LoQ5DJldRuWd5N40df7YQPREzh9VIybHlmIsLiZ99I47mBhrWLvdomwRCfE+fP+NoKN5C6+JvCL/+KvTTJwdV3N11orpv7xHPZ39N0hMxOoP0+69ElRjh84bnbLdiOFhO87ZCmj/8K+FDU5BPmIp62OALrn25L/i+txj7m0h/c/s8hpVXdY4O3HUDNV6Rkks4cwi0cNqdmquTyXjHXEX1+nwSbrmc7BeuPy+LiHvDBUFwJBLJI8AjALKYyF6Xl0WGYysq7/b++VY7A73vk6OlmcbCrRi37EaZmkj4nKvRjMgJ2SSx9ae/J7X5dKrJqjx9EgdyUdiraml8/WOSb7w7JJ5fjRu/QR6mJ2fy/X49pvyhaxTFm/BoIhLInvFQt3X64v8E/glLc/F+DJXH0MamkjL6tMmqr/FFUaCyaReN61cRPnwMA374PFKVGqfJCPi25/AHuS6M8BFjqVq9EFdbO/HPP9Jnt2Nf+PsNM8krr+Z3dY18eOq9n9LREr7s/cfxr8Jzar/0amKuGEzMFYNxWew0biqgdulK2r/4iqQbx+LIuxKp6ux705xpfN9bjHu6Z7zw5aqLsnD3QkEghdMHkhOQ7v2Wui92ETN5MMPfeQhl9PlRztEfhJzgSCSSjcBUPx9vFUWxzy6Loii+AbwBHW7ivS2vSE3EseSbvm7mvIHocmE8cZTm/O3YSyrQTRxDwguPoUgMXFW3N8S2GNj+wp9Qulye974dnsODz3bWM+nponC1ttHwyntE3Xw9urTBBAtLRSmGfTsZNue5PpMb6E4+etKZCdS5u+tyfgmRKOn81w9MjRWU7FsMEimpdz2KOuk0KexKdnsj46Io0lSzh5ZPlxE29XIi5lwTMi2Q400tXCV18LooMhxwnxV3//eePo8l0yhJmDWC+GuH036kkuovdtP24VYS545CHDv9vCwy7S++7y3G4P+ecbEW7l4o6On4iw4n8iMbqF24g7DcZIb97Q606Rf+ORtygiOK4rRQj9lXKJLiEe0ObA11PSq+9gX+ioFDWbhsq6+lqXgnpm17USTEEnv5KFY2NHPHvOkhLVRUW23s+cnvOxll/uCnD/H7j5aiN1s6bcvfRSHY7DS8+j5hU8YSmxaY/5DTZKRl1xYkdJiSeh8vwWGn5quFZI5fgELbv3qNruSjJ52Z+vyt1Bxcg8thJ2XMtX4JT6DFzfF5k/2qEAM4rSZKCldjPHaY2GtmEzFqfFBROKfJSPX6RTiq64h7+j5UIQr12ytrsC79CmtNKz/Wa5hDK+6kXk1MGCVZ/Y8OSSQSwoenET48DXN5E9Vf7qb5//5M7FW5SCfNQB534d9Q4eJtMQ4U/u4ZF1vh7oUGX8dfdDhQHN1E5ac70A6II+flBYQNDj4CfL7gXLWJy09tWwbIJBKJGnCKougMyfhSKdqJY2gs2EJKXGiK2PwVAwdbuOw0ttNctRfT9n24Wts6RWvm79jPiNqG0BYqCgKCVMIv7pzPnd/tJrWpmYl/+hkz/BRF+rwoBIGmtz5FkRxPwshZPjbiG20HdtG8qaM9WqpUdjpeTRvXoE5MISqz7xOBt9GmoTzfZ7SlW2pJInb664/IBFvcLAouKhp20rTxG/RDRzLgyReQaYJr127PP0TtN1+imzCa2IdvRaIIPjfuajfh/HYpTZtPkHbnRBLmjGLgB1uQHK8BwCmV8KuXbwx6O25o02MY9KNZ2O+5gpqv9lL3+1cJH5GGYsp0j6P9hYrve6TiEpE5/yHY7MgPrqf6y91oB8Yz5Ffz0ecmn+vdCjkkothrxif0G5VIXgJe7PL2y6IovtTbuqrMVDHx10/3ug1Xaxs1L/6D9HufCkkUJ5QRHJfFjLHgCK0n92IrrkAzMhfdxNGo87KRSKWdChU/EkXukkiIUMiDKlQMM5nZ8fwf0djtDH79/+GSycDp5JW3P+/ztlq/XIWtsIz0Wx/vk9aNvwiOra6Givf/y7C5P+5X9MbdCRWRmouh8lgnqwZ/kZmu73clSd6u5PF5k3tMY/lDW3Uhpfu/RqbVEj/rRtSJwd1AnCYjNZu+xF5WRcwDN6MalBnUeNDRUq44vIHy97cQOy2H9HuuQK5X87O/LCe5xoAgk3HZoXJmLn4ai+7MGTu6LHbqVx+m+qu9KCI0qK6chvayYUEpLl/CJVxCZ7jajUj2rKN22QHCh6eSevsEwrIv/IjNtpl/3iuK4tiu758TghMMuhKcnvQm2jfuwLh+Oxl3PYXsHKutOtvbMB4/iqH0ILaiMtS5g9COG4lmZG63YsuMusbT3UuCwO+kUm5OiOXBp+/rVy5/7PEivvzzG57XOwZlcuvPH+/Xtkzb9mFYupaM+54NiZaQKIpUvP8a+ryRpCdMDrg2xhv+Ijhwmvz486fqOk7p5k8xVB7zkCUgoHW9YTU0UHp0Oba6auJmziUsd0TQrZXt+Qep/WYxuvEjiVgwC6ky+KiNvawK42eLkChkDHxyOrqBHaKC1684wC9eWYMIHMxN4pm/3I7zLAl6iS6B5h1F1Hy1B2tlCwnXjUQYNe1712Z+rvB91++5WOGorkPYvo7G7wqInTKE5JvHXzBaNoHAH8G54B+PetKbCJt6Oc6aeso+fY20BQ+iiIg8a/slCgLW6goM9UexHD6Oo64RzbDB6K4YS+zjdyFV+3e5DWWh4od/e5Mr8096XlvlMh774V392patuJyWz5eTfvcP+01uuka8jAVHcBrbUdRZcUQYA6558YZ3esitNeOGO7UUkZ5H7eENPRYZNxXu9pCb1PFz0camgijpNT3l+W5WE2XFazEc3Is6NZ20+58M+pxzGtup3vAFjqpa4p64KyRRG8Fqw7V+KU3r8kl/4EriZw5HInUXSYv8/JWONKIEWDZ75FkjNwASmZSYydnETM7GVNJA7dJ9NL74VyJHZyIbfyWqnIEXdZv5ucb3Vb/nYoQoCFgPH8exdSOm4gYSrh/J6LcfQhl18RT194YLluAEojchkUiIvG0ubas2Uvr234m8YSaxGRPPiMKqKAjYG2oxlxXTXncCW0Exsogw1MOGEHnTLFTZmX0KtwddqCiKHH7qRcItNs9bxXHRXPXHF/q1LVdrG42vfUjS9beiiu9/SNO7Zilq4jQa160kPDKTqr0rkUikAde8BAo3+ekq6OcmUi6H3VMc3NXbyrvduyu8CZJMrqK8Zgst2zagzxtJ5PjJNH+3lvYj+/otSyCKIk3Vu2n5bDm6SZcR89CtIYnaWA4X0LbwS8KHpzHqzQdQRHSuB9ow+6+e4nMRWD3r3BXH6gbEkfXMtWQ8NI2GdfnULf6KNpuD+GtH4Bo25VJUJ4T4vuv3XExwtRuRH/mOuuUHkOvVJM2/jJyXc857W4UzgQv2GweqNyGRSIi47io0QwfT8vkKDCs2EDZlLFEpY1DGxvcrdSAKAo6WJmy11dgNxQzZuIPtMinScD2q7Ey0o4YSdfs85FER/f5+oShUDPMiN488diffjPM9WfW2LdHppOG1DwmbejlhOcP6vB/e8BY2bD96EKlaQ+rY69FExncypOwv/KW4fDl4Q4fJpj/3757gJkgGcwWWyjLUyWmkP9DhHeU0GZGpVP0WlHQYWqj+dhGuFgNxz9yPKjN4sW9Xuwnb0i9oz68i69lZRF6W2W2Z5/+yDKVwOmV9/7/uDnq7oYBcpyJp3mgS547CWFBD3epDNC3qEA+UjZmIZmSeT+XySwgc33f9ngsdoiBgKyjCtWcLrXtKiJ6UzeBfzCNsSOIFpTwcalzQNTjX7TnEr1//hHfc7taP3dFrlMNWWolp614sB/IRXS6UmakoEuPQSKKRaXVIlSqQSju6jZwOBKsVl9mElRZcTa04G5pxNjQhjdCjTElkmEzKr/cdZcndN/LttO6O12cbD63axMKp4zFpNfzs8xXctWkHs3/9LBUJ/W/Bbf7oK1wtBtLmPRCy9IAoipT97++kDZtFZFpet8/9FQH3VpvjXXPTk7O4v+0Etu8CjYW7qdy/AkV0LPHXzkeTlhnQuj2OKwg0FG3G8PW36KdPInz2tKCLbEVRRF20hdLXNxB7dS7p91yBTNNdYE8iiGyZ9RfP63WTs/n1i6Hrmgo1XBY7TVtOUL/mCOaSBmKmDEYcPhFVVsalFFY/0Z/76SWcWzgbmpAe2ULD2qPIdCoSZo8g7uo85Poz1xBwPuKirMHpTxpHlZmKKjMV8Y55uJpasJdV46hrwNxSh9BsRrDZQRBAKkWqkCPRqJGF6ZBHxKLOHYQ8Lhp5fCyvvvfF6e4j4HcffcWrny0/pyHdPc/+lrh2I5MKTvLy7fP44y3X88dbrg9qTNP2fVjzC8m8/0chnTgs5SUIDju62LROtTFuuCMk7bVFZE65rV9mm4Gs4y9i5Iv4iKKIofIYFUdWg0RC0o13oB2UE5InJFt9LdVrPkOChIQXHkWRHILOvxYDli8+o7HGQM7LC9DnJPld9rl/rfH8X4DzmtxAh3hg/IxhxM8Yhq2+jYZ1+TQs/IJWi53YaTkIORNQpCd/r59e+4rvu37PhQKX0Yxl72Ec+3ZhqWgidlouQ349/6Lohgo1LmiCE0waRyKRII+NRh7bv0ry8ymkm1zfxNaf/xk3/bjmyAleCsG4juo6Wj5dTtpdjyNTh7ajou3ALiLHXE7TyT1+9Wfaa4swVB7zEA33+z2hR+0bP/BXcOzer4Rh02irKqAifw2Cw07stFmE5Q7vNnn2R0pAcDioO7QG44YdRNwwg7CplwdNJEVRRJm/keq3vyNx7iiG/Gp+j/n37OM1xDa10xamQm+0MeezJ4La/tmGKj6c1NsnkHLb5ZhLGmjcWEDLmx8gkUDMlTm4Bo+/RHYCwPddv+d8hmCxYTmYj3B4N22HKoi8bAApPxhH5LiBSBWhrym9WHBBE5xzKSh1vkiyP7xqA7/6YrXntQDM/vVTlAdp6yDY7DT+9yMib54dtH5LV4guF+0FRxg298dIYjtOwa4kRKEO80Ru+lubE+g6viI9MdnjEBFRaPQcXfMKgsNBzNSZ6PNG+CUgfRWDNJcUUrN6EYqUBBJfeiaomi03nI0tmD77FGebhaF/vAVdVnyPyydVNvHeUx9iVsnZMHkw7985EUPUhek9I5FI0A2MRzcwnvT7p2AqrKNp83Fa3/oA0SUQPSkbV/ZYVIMyzkijwYWOSwJ95xcEswXLoQLEo3sxHChDPyyV2Kk5ZL8wB7nOfxfuJZzGBU1wzjXOdUj3g7+9xdT8Qs/rJp2GMa+8CCF4Um1ZuBRFRiqx6RODHqsrZmEfWgAALrRJREFUrFXlKCKiUOoige7pI++ISjAFx4Gia6RHFFy0VZ+goXwfEqmUmCnTOyI2vURW/DnDd33faTJSu/UrrAVFRN15A9pR3WuQ+gpREFAcWk/1B1tIXjCWlFsuRyLreX+lTheLHngbAK3NSU1SBFVpF4ddgkQiIWxwImGDE0l/4ErMJQ00byukbfESmuvbiRo3ACF7FJqhg5Fe0nu5hPMEzhYDloPHEI8doD2/ivDhacRMGcygH8/+3tXVhAKXCE4QONch3YVXjPMQnP/OnMIfb50TknFNuw9iO17MgAd/fEbC+paqcr9Fud5iexC4Fo6vcQItHnZHelwOG+W1W2jZvgl5eARx069Hl50b8DHo1a1eFGko2Urr4tXoJo4h6bc/7lEPKVA4G5owLlyIYHMy7K+3o82IDWi9lQv+1akl/N17pwS9L+cjvCM7aXdNxlbfRsvOIpp37qD6/UWEDUogcuxA7GmjUKQlXSpSvoSzBlEQsJdUoCjbT8vOImx1bUSOG0j0rOEM+dU8ZNpLkZpgcIngBIFzEdK9ev9RYtqNLLryclZdPpKl+w7zyvVXczI9NGkkZ3MrLR9/TeptDyNVnZknBntjPWFE+S0udovt9UULpyuh6YtgoN1koLJmG4a929GkDyBpwZ1o0gf078v5gDtF1bx3C7JIPfHPPYQyBL+XKAjI9q2l/uPtpNx6OckLxvYatXFjxuqD6K0Oz+s7/3df0PtzoUAVH07i3NEkzh2Ny+qg7VA5LbtLaF3zIS6TjYjRGQiZQzuaCmKizvXuXsJFBmdzK9b8k0hLDtO6rwxFlI6o8QPJfOxqwoemBnwNX0LvuERwLiCs+8VfGFTXiAD89pOljHz1JZ56/K5e1wsUoiDQ9M4i9NOvQJOSHrJxu0KwmLFYrR1eT/g3t+xLe3hXQtNbgbEoihjrS6ku34rpZAHhIy4j/cGnUcYEV7vUFS6rBbOtHolKgX76ZPQzrghJhMBR24Dxk4UgkTD8n3f2SXZdY7Tw0t+/8byujtNTNqDnWp2LFTK1gqjxWUSNzwLAWmvAsK+U1v2HqV+8ArlORfjIdFypeagGD0AeHXlud/gSLji4jCZsx0uQVx7BcKAcR6uZiFHpRFyWScZD01DFXxKsPFO4RHAuAMS0trHthT+idroAkALLxo3AFgIXaW8YN+xAtNlIGDY9pON2g0yGLj4TbXSKz+Jib8JTf2wLNQfW4nLaelQW7kpo/BUYO+0Wqlv3Y9izDcHhJHzkZSjjEogcOykk3lpuiKJIU9UuWhetRD0ih+Q//RyZPniJdNHlQrrrGxo+30XaXZNInDfmtM1CgPh/v/n69HjAzR89FvR+XSxQJ0agvm4kCdeNRBREzKUNtB2swHBoL/WffY1MqyR8WCqu5CGosjORJ8ZdSmldQic4WwzYTpaiqD5G2+FKbHUG9Hkp6Ealk/389egGJfT5mr2E/uESwTnPMf7YSRb99U3PaxG4+9n72Tw8J6TbcTY0nzLRfPqMd5goo2MxuVoZmBuARo8o6fzXD3rqmBJFgfbaYmprdmMsOII2awhxM+ejHTCIlu0baVi7HKlc3qutQqDO8dbaKhrWLGJAeTXhT9+La+jgnr9jgLBX1tD+8afIdSpGvHo36qTIPo8R3mZBJoqIdHhNXbP0RyEpSr8YIZGert1JuvEyRFHEUt5E2+FK2vOP0/LtehxtFvQ5yYTlJGGLGYJyQCoy/YXZhXYJfYfodGKvrMVeVI6s5gTt+dW4zDb0Q1NQDUsl69lr0WUnIJVf6to7F7hEcM5jXLvnEP/778ee11aZjGGvvoRD1V2JNhiIokjzB18SPmsqytjgUhWBkADdoBxqlixEzJrd69NvfN5kj1dUX+CwGKk5tA67XsRYcASpSk3EqHHEzZiLPOx0rZSvDid/+++v3dsNl9lE7e6VmPceZuqIHNYWl/Os0czSPu15d4hOJ+LmFTQu20/GA1cSP6t/7uTpxQ188ti7nMyMZcMV2Xw5/zJs6tBGAS9mSCQStBmxaDNiSZwzCgB7iwnjsWraC2qwb1pH85u1yPUadNkJhGUnYokchDI9BVn4JdJzoUN0unDU1mMvrULZdBLjiVrMJY2okyMJy0lCPzqD1DsnoUmLvqS5dJ7gEsE5zyDY7OByIdVq2Dswgw3DBnP1kRPsHZDGgl89eUa2ad6+H1e7mfjc/hlDeqM3EgCgTs1AptVSsO0dBo29rcfamr7o34iigKmxkvrWIxj27cBlNqHJyCLl9gdQJ6b4XKdr51NP+++vDVx0uWgo3oph2bfMVKt402JFtnUvfyd400JbcTltH32GOimCkf+9D1Vs/wrZJS6BTx57FwmQXdrI5wsu48DIM1dn9X2BMkpH9KRsoidlAyAKItaqZoyFdRgLa7Ht+5bmojqkSjm6gfFoB8ZhCx+AIiURRVIckhCnmS8hNHAZTTgqa3FU1qJoKcFUVI+lvAlVXDi67ATU2YnEXJlDWHaCT+uTSzg/cIngnEOIooijug5V5X7aDlZgPFFLlsHEUQFeCVPxl188zROP30WsoY2KhNAWv7ohmMy0fLGS1Fse7Hdqyjvq4Y8EeEMikaDNHETzlnUUip+SO7n/Hld2k4H22pM0NB3FdKIAuV6PPncEiQvuxFZbTcTontNJXdHT/vtqAzcVn6Bu3VdI9Trin3sIk1KB7ZV3+bKukReg3wrXgs2O69uvad5wjMzHriJ2WuDt6r6w5NZXPS3hLmDlrJH9HusS/EMilaBJi0GTFkPc1R36RqIoYqtvw1xcj6m4AQoPYFjbiK3GgDJOjzY9Bk16DBZtOorEOOSJsUh12ktRgDMMURRxtRhw1jXiqGlAZSzHUtaIubwJwepAmxmHdkAsuuxE4q8dgW5g3CUyc4HhEsE5yxBFEXtZFbKCnTRtOQGCQOS4gcTNGMZyk41JLSYAnjXaWL/iKw498BAV6jNDbgBav16LdlReUF1TXaMevdWyAERNnAqAubSIwyv+SuTYicRrh6AKj0Ui6U52REHAbjZgNdRjaanBYKnEWlmGYLOhyRiIiIjosBF52QzP9sMG9b1OqVctm1OwNzVQu/lr7JW1RN1yPZoxQ5FIJJQBm4YN5oG6RpxSCfeLYp8Vrq35hRg+XoQ+L4VRb9yPIkLb5+/hjVkrDxLXdtpZ/t7/3hvUeJfQN0gkEtQJEagTIoiemO15X3C6sFa1YC5rwlLRhLTsKMatzVirWpBIJaiTI1EnRaJOisKsSkEeG4U8NgpZVCSSSzUdAUF0OHE2teBsbMHZ2IzGWoW1phVrdSvWqhZkWiWalCg0adGo02OIujwLbXoMyjj9JYJ5EeASwTlLcNQ1IsvfSuP6fABipuYw5P/mo8uKR21zsvyWf6P10iUpC1OzJyaMM/m84Kiuw7zrIAMeeyGocQKJ2nSFXBdG3PTrEUURc8lJ2g7toaBkEy6zCbk+AqlCgctiRqpSIdhsuEztyLQ6FDFxqOKT0GUNIWbqTJQxHV0sTpORtrTMPu1Df+Aym6jb/w2m7fsIv3YqsY/diUTRcRm98r9PmHkgH6PdwbvAg4JIPPDLT1cEpHDtMpqwL1+M4WA5WU/PJGr8wKD3V9dm5v/+ebolvDlCQ0lW8EaelxA8pHKZp6bHG6Io4mg1d0zCNa3YalqRVR7DuteAta4NR7MRRYQWZXw4qlg9ytgwLPIEZJHhHf/Cw5BF6JFoNRftJC2KIqLZgqvNiMvQjqu1DVdrGxpnHbaGduwN7dga2nC2W1HG6lEnhKNKjECeFEnslUNQJ0ehTom6ZHlwgUMURVxmu9/PzzrBkUgkKuA1YDoQDRQBPxdFcdXZ3pczDZfRjOrkNuq/PYqtppXYablk/3wuYYMTPTeewSdqePfJDz3riMDvnpvF3zYcQ56ce0YJTsuilYTPnhZ0e3QgUQ9/xbsdKrPZ6AZ2PNm6rFac7QZad2+lddcWIi+/kuiJVyILC0cq93+6Bhp56S8Ep5OGwu9oW7kB7ZhhJP3mOWRdhB3dBqyL6hr5pSBgl0q5LS6aP/zguh7HFkURddEWSv+3gZgpQxj9xv0hUzD9z08Wnt4OMHfRUyEZ9xLOHCQSCcooHcooHeFDu9eOiS4Be5MRW0Mb9vp2bE3t0FiP/UQx1mYj9hYTjmYTgt2JIkKLPEKLIkKDPFyDXK9GoddgdEUj1aqRatRINB1/pWoVEqUSiVrZ8VchP2MESRRFcLoQ7XYEmx3RakOw2hGtVgSLDcFiQTBbCZM14TRacbZZcLRZcRrMOAxmHAYLUoUMRZQOZbQORXQYmtgwVHHh6PNSUMXpUcaFo4zWXRLOuwghiiJtB8oxLFxLzAD/dYnnIoIjByqAqUA5cB3wuUQiGS6KYuk52J+QQnS6sB49gXBgO617SogcN4DUOyYSeVmmz1bBG1Yc9PzfJYGrlz1He50B09vfkfRo8B5F/mA9UYKjuo60eQ+csW14I5DiYwCZWo1MrSZm6kwUEZG9tmSfaYiiSPvRAzRsWoE8KZ6E5x9Fkew7AuJtwCq6DVgXXMvaMUP9ju9sbMb85SKa6tvIefFG9LmhMzZVm220h51Wo776q2dCNvYlnDtIZFJU8eEdAnH+Ty0EuxNHawchcBosONotONusONstaGx1uGpsOI1WXCYbLosdl9mOy+JAsDlwWR2IThdSpRypUo5EIUOqkCGRSZHIT/2VSUAiOaXpctr0QxQBQUAURESX0PHPISA4nIgOF4LdheBwIpFKkKoUyNQKZBolUo0CmVaFXKtEFqZGFaZCEqZGkxKNPK+DoCnCNSgitSgitUiVlxIQ3zeIokjbwXLaPvsWU4OVKx7NIW92GgeXlPlc/qyfIaIomoCXvN5aLpFISoDLgNKzvT+hgCiKOCpqkBzeSuOGY6iTIoibPoysZ671bZAmCMQ2ttMYH8HfnprBjA3HODkgjsf/eSdIJFR+sp2k+WPOaIeF4as1RMyd3mNUJJToaxrrTEdkAoG5pJC675YhCiLR996EOndQr+sEasAqulzI9qyl/tMdJN80luQXb0SqCF1dxcCTtbz/xAf88/FryC5uZPPELOyXfG2+V5Aq5aeJUD8gugQEuxPB4UJ0OBHs/7+9+46PqkobOP47k9476QkEAoQWqtK7CPa2a1k7q+6yXd19XXV3X13X96O+77quDUV0XeuyKkgVREQXUCnSQwglJCG9TTKTmSRTzvtHAiYxkMIME5Ln+/nkA3O5c+eEO3fmuec85zyOpmDF7vwucNEanLr1E5uDHuWlwGDA4N0cFHl7YfD1+i5okp4V0Ulaa4y7TmBa9hmWqgam3DuU4QuSMHif/T2ktNZn3cHdlFKxQB4wWmud3dH+fv2TdNwff+n+hnWCvboGn+ytlH+WhcPSQMzs4cRcMvysy+bHlNaw/LZXqIgM4mhaDP/15xtwtLjQ646XkfXQMmKf+C8MAe6pBVV/JJeqpctI+8nv3b6o34WovriQ0q2rsJdWEHbtpQROGNXpWV6jcgsoigynIiyE6BoT8dU17O+f1GqfhhMnMb/3L7yD/Un71TwCEjtfZqGztsx7+vQ99a2v3EXuAPclqgshhDtoh5OqbUeo+fAL7PUOptwzhIxLkzB4tR46fTJz+S6t9fi2z/doH59Sygd4B3jzbMGNUupe4F4Ar6jw89O4M3BarFi+PYBj93bqjpUROTmdAYvmEDoyucPltx9+eg2XbzwIQExVHWE11lbBjdaaE4s3kXTrZBwuDG5CLFY+evIlrnt4EabAAGrXfUHI/BluDW46u+pvTzp2Y2U5pdvXUZ99jLDLZxM84yJUF3u4zlaA1Wmtx7FxJVVfZJP64xnEzB3ulhyH925ffDq4sSskuBFCXFCcjXYitm/imzeP4h/qw5R7hjB4ZnyXS1y4PMBRSm2mKb+mPVu11lOb9zMAbwGNwFlXsNNavwq8Ck09OC5rbCc5Gxqx7juE3r+Dmt15hI1OJfaKMUROHNipcWCD3cH7dy8hsaT29LbimBBuaFMDqGpLDjajBfuo2bjya2/2vmwGF5cxa/9hPuyfROPxfJKvcO9U4c7m3JzJuawo3FW2mmpKd63H+u0BQuZOJfL26zD4fzec0zZA7CqtNdZd+6n998eEjxvA6CV34xPa9eN0xvzVu0lp8T57dEwEub95lZoiCw11dgwGRUC4L+FJQcRlhFM7aCRhmSkuS2oWQojushkt+H/+GXuXHSduWDgL/jiGlHFR3b4RdHmAo7We2dE+qqm1S4FY4DKtta2Dp5x3zvoG6vcfRmftxLgzl5CMBKJmDGXQAwvwDu5870qQuZ711/29VcCy9KaJvH739Fb7OayN5C7eRPhdt7isZ+XUtOUam51naFpV10sp8mOjyPJx74JV3Zk63lJ3VhTuKrupltI9G7B8vYfgGRcR/5ff4hX8/TVnWgaIKy8e3bXXKK/E8uEHNJTVMPj3VxI6MrnjJ3WTrqvnD3//9PTjCh8Duy9N4ZKMMMITg/AL9mkqIFnVQFW+meKDRsrWbuH409WkjI1CTRpP5JR0WcxMCHFe1eWWwyebOLyxiCFzE7hlyVRiBp57lXWP5OAopRYDo4G5WmtzV57rzhwch6kO695DkL2bmr35TUHNtCFETknv9mJr9y7dzG3/2o6B5kKZi+8gN+37s3BOLNmMrcpMwC2u61lJLa1g6fNvsqy0gkedTh43GPg7kP6je6gaOMRlr9MVnR1ecusQl6mWsn0bqdu6i6Ap4whdMPN7U76hdYD4ttbcqhRhPt6dKrugbXb4ah3Fy3eRcMMEEq6f4NIk4pZsRgu+Gz/l1SWHGdZ8OWvg0b3Xdur5DWYbR74oIWtdAQV7qkifEYeePpnQUSlS9VgI4Ran8mus67ZSlWdm7A8HMOaGAQRFdr03ucfk4CilUoH7gAagpEXX031a63fO+EQ30FpjKyzBN+9bqr85hiW3nLCx/YmcNoRBD17W/gyoTlBOzVv3vMYfHr6aVxfOZMldM7jrrS28cdtUdDtfGHW55ZRt2E/snx4411+plZbTlvHyYqDDgYqJ7HRw0zbIcEXQ0dnhJXfMomoZ2AROGkv8n+/HK/zMdwmn1rVZVlrBo1p3uuyC9WAOpmUfEZAcxagXb8c/Nsylv8cpthoLXmvWc2D5CYbMTSTdS4G9KcJ5/r2ZnT6OX7APIy5PZsTlydRVNnBwbQH7XlvHSbOdUVenUjd5utt+ByFE39JYaSLgy83s+TCXsIRAxt00kKFzE/Dycf2sOk9ME88Dl6aYdKhlDoXRZqc++xiGE/up2XUC5eNFxEVpJN0yibDMlHNeWyG80sTqm19GAX97eBm/fOpG8vrH8Pod09rdXzs1x5/bQModU7G304twrlpOW9704Scs8PXlm3b2ay94aRuMuCL3xVXDS11hM1ZTtm8jlq/3EDR5LHGP3493RMfdn20DxLudzrOWXbBXGWlY9RHmwyUMWDSHyEkdTyvvDoe1Eb/169n97jEy5iXymxcm8sd7t7Hk9Wn89PYvOTA3ntJhEd06dlCUHxfdNogJtw6k5JCRvSvyOPTz14kdGo7PzIuInDIYL6lALoToAu1wYtx1AsdnW8nfWUHG/CR++MJkYoe498ap16+UZK8ykrR2M38rLqPssf+lymojbFQywWP7k3TTRPwTI1w2k+XHb3zJXe99ffpxZLWFkg7ufMvW70M7ndhGujax+JRX5s/gT7dcTUVYCKWbtjH14rnt7tde8NI2GGn5Z3d7c87n+jaNFWWU7dmIdXcWQdMmEP/EA+0ORZ1NZ9a10XY7hh0bKFu2nbgrRzPot5fh5ef6IEA7NZHffMYXL2SRMi6aO9+ZSURSEE9kLkcBP/7xf3hm7SXUJJ77kJ5SivhhEcQPi2DuAyPJ+byYfSt3svelDQyZk4B96iRCR3Q8c1AI0XfVl9QQuPUL9n2cR1CUH6Ov68+VfxmHX9D5uUnqNQGO1hpnjYnGgmICao5izilG7cjF0GhH0bR08j8rzUz19Wabnw+PXT3WlS/OP37yBum5Fac3lUcEcv27i1pNA2/LZrSQ/8Z/iPrVPd2upt2RU9OWHbVmGi31FIwY3W4g1V7PSttg5NRje52ZkhXvUXfkEOCamUyuZC3Mp/zbjTTk5BIyaxLxT7afPNwZLQPE5RPHEF9d0/q1DuZgXrYcv4RwRj53KwGJ3es56UjtwUIqlqwh38fA9X+9mMRRTWvn/PqyT06fT4NNuyS4acvbz4th85MYNj8JU5mVg2sL2L94LQV1NkZclozl4qkE9o/u+EBCiF7PYW2kcksOts3bKTtSy/AFSfzguYnEDg0/72254AIcbXfQcCwPe5URR3k1vpZC6guqsORXgtYEpvXDe1A/oqYPYdBVY3nhhU95v8jIIw4nkwwGhsSG8dqdU13apjfve4NBJ74LbjZMH8pjj17V4fPyln5B9KwMfFJctzz/mTTmF+KbkvC9QKplT0xnA5XaPdupO3KIoPSM8zrUdDba6aTuaDYVuzZhL68kZN40ou7+Yavp3t1xpnVt7BVV1K9aTt3RUgb8dHarKtGu1FhlpuGdVeR9U86sX49g+GVJp3scx72bQ0yh9fS+bzw/0S1taCmkXwAT7xzMxDsHU3q4hgNr8jn26LsEhPsybH4SteOm4h8f7vZ2CCF6Du1wUrMnH69tX3FkcwmJoyMZ+8M00mfG4e3rucVkL7gAx15aRt2HH+EbE0pgXBj+g2KJmZlBQEoUPpFBrYabaoCld0zjF0+uRHsbuNupef72qRQmuPYu+8HHr2P57a8CcNvi28lNi+vwObUHT2LclUu///6tS9tyJvayKnxiv3+X3Z28mpa9Pe6oE9WV4S+nrZHKgu3UfroF5e1F6KXTCZyQiWqn7pcrOBsaYds6ylbuJv6acQx+6Aq31MTRDifBn29g95JsMq9O5d4Vc1t16yqHk2ufOnj6sTHGnxPT4l3ejrOJHRJG7JCRzP71CPJ3VZD1yUmy3/oHEUlBZMxLxDhmarfLBAghejatNebDJfhv38ah9YUEx/gz4vJkZv1mBMFR7lmFv6suuAAncEAMo56/vdP7z/kim2B/H0JvnUzw29uY/WU2m6ef4xRprfnDU6vZNSqFtZdlUh4XzgOPX8fOcf1x+HT8X6odTnJf2EjIdVe6rRxDWw6TGUPo94OFjpJ+2ws23J1H05mgy1ZrpOLwFsxffoPvgGQib7kav4yBbq1+bNm5D9NHqwnJiCfzpTvc9uVtyiqk9OXVBIT6cNvr04hO+/7r/Hb22hblDeGZT+e7pS2doQyK1AkxpE6IYd5DmeRtL+fQhkJylr5ORHIQQ+cmYMycjL+LbyyEEOeX1pq6Y2UE7/qKQ+sLMRhg2IJkblkyleizVPX2FI/Xouqq4MFxOvPFzq8VM/RwMaX9QqmOCCKiuo7Y8lqyB3f/TjeqvJblt76CV/P/mwZmrHvwrLk2bZWs2k3FF9mE/fJnbvtCbsv44Tp86wOJmt5+kvGZVG3dRPmnq4m55Irzlmtzph4crTXWvGNUHvgP9VlHCZw4hpA5k/GJc28pgsa8QizLP8Je18iARbMJG5Xiltex1VqxvbeKo1+WMOf+EQxbkNT++0Nrnhi94nSA89Kb0ygc3fNyYBw2J3k7ysneWMSRzcUERfkxeHYCtaMuJmhgv/P23hdCdJ/WGnNOCcHffk32xiK0U5MxL5GMS5OIHRrWI67jHrMOzvmWPeS7YKY6IojqiKBuH+uydXt55Nn1rbY9+Nh1XQpubLVWCt7aStSv7z2vbwzl50cj1o53bMPd07o700PksFqpLPgG8+av0VoTMmsSkXfe4PbeL0eNCdunK6n++hjJt00hdsEot1RA1loTvWMTm549wNC5idz70Rz8Q9tfTdjXbOMHD+9g88J0Zi09ws6rkntkcAPg5WMgbXIsaZNjcT4ymsK9lRzeVEzB/3yAw+4kfXo8lsxxhI1KdsswnxCie5x2B6b9JwnYs4Ocz4vx9vNi6NwErnl6AnEZ4T0iqOkM+VTppNd+9k8yjpScflwb7MfV7y6isYtrgpx8ZxuRU9LxTT6/+RLeUeFNqzR39XkeGo7SWmPNz6Xq8Dasuw8yX0PWPTfhyMxw+8WlbTbU9g2UfrCDfvNGMGbpwi6V5+gKa0ElVYs/5rjJxg/+PomEEWcfxnlk2mq8nRBS0cCq343k6x+5Z60dVzN4KZLHRpM8Npo5D4yg4piJI18UU7rsM44/WUvqhBgcmaMIn5CGX0zP6+oWorezm+sx7szFZ89ujm0pJSI5iPSZ8dz44mSiB4ZcMEFNSxLgdMLDz6xpFdzsHp7Ez589+1L97bEWVlP+WRaxjz3oyuZ1im9aCsYP1qGdTrdNSe+Otj1ENmM1lXnbqdu6E7y8CJ42gZvTUljy9gp+0dDISjdeZFprLDv2YV6xhqCB/dw67dvZaMd79Vqy3z/OlHuGMP6mNAzeZz8vD1yyBm9n09+TDhpZ/O4st7TN3ZRSxAwKJWZQKJMXDsFS3cCxLaUc23KQrDc2EdwvgIFTYqnNGEvo8ETp3RHCDbTWWE5UEHloO8e2lFJyyEjy2CjSpscz+9cjCIl1T0Hg86nX5+Cci/AKE/WBvnjbHcSWmXjy8RX89++v5FBG96Z1H37iY4LS+sG0K1zc0o5prSn509+InX0NQQMHn/fXPxuH1YIpax/GnJ3YTpYQOH4kQVPG8fKnW7h076Fu1YLqqoajJ6hb8THa5qD/T2a5Lc8GwLg7j5IXVxM9KJR5D2US2okPkhGr8rj50W9PP/6/j+dQ1b/3zVByOjRFB6o4vrWM49tKqThuIml0FAMmxlCRPp7A/jGyuKAQ3WSrtVKzO4+ArL0c31aGwUsxcGosA6fG0v+iGHwCLsybiT6bg9NdTzy2gllbc9ibkcCiv96MeVAgN/7zvm4fz5xTgulgIQE33Yon+k+UUoTMn07Z52voP2CQx3txHFYL5sMHMR7fTcORXPyHpRMyZwoBo4aimmeiPRscxIiTJV2uBdUVttIKGtetxHSoiJQ7pxEzd7jbvkAbq+uo/+dKTn5bwaUPZZI+s5PDlFpzU4vgpibGr1cGN9A0lJWUGUVSZhTTF2VgrW0kb3s5uV+Vkb/s3zSYbaROiKFh6HDCRqe4dCVyIXobR4MNU1YRYYd3c+KbMipPmEkeG0W/SbFMvDOdyNTgXn39SIDTRojRwsofvYyvzQHAqENFJBcaKUhpv/5QZ+W/uYXEmyfi8Gs/efR8CJo4hrqtuyjevor4i6/q8I3t6oreNmMV1WX7se7JouF4Pv5DBxJ08Wii77253YThrtaC6gqHyYxz81rKN2WRcP34pvIKbqqxpJ2a8K2f8sULWYy8KoV7P5qLb2DnL71HJq1sNSX86Y2XuaWdPVFAqC9D5yYydG4iADVFFvJ2lHNi+yGO/us/aKcmZVw09ekZhI5MJiAlSnp4RJ/lbLRjyi4i8tge8nZUUHywmn6Dw4i4KIbZ948kKTPSLUUteyoJcFrI3JPPS797v9W2hx+58pyDG9OhIiwnyglZuLDDelMtC4OaAl07BqoMBqJ/8iPKnnmVosYPiJ98LQbvM78FzrW4prOxAWvecWrKs6k/kIPDZCZg5BCCZ04k+me3dWqV4c7UgupSmxoaMezYQOmHO4melcGY1xbiE969Mg6dUXe8jIqXV5IP3PLqVPoN7lpxOb+aegKtztOPX3nDtatwX2jCEgIZdXUqo65ORWuN8WQd+bsqyd91mBPLt9FgaiRpdBRJY6IoT8kkeHCc5PCIXste14Apq5CIE/sp+LaCkiwj0WmhhEyIZuKd6SSPjTpvdZ96Irnym/3lseXM3Hrk9GOrrxdXvbcIS8i5Bxkn3/2KxBsndmoRwNn7shlcXMas/YdZefHoc37ttrxCgoh96CdU/uMDcpc8Tcy0BYRkjEJ5fX/l365OEbebarEW5mOuOU79kVxsBcX4piTgPyydyLt+gG//xC4PjXVUC6qztN2BT9ZmTr69jZDhiYx87kcEJEZ261id4bA2woerObIqnxk/H8bo6/p3vWfB6SRjUwkVSYFEn7Swe34CBWPdu+bPhUQpRURyMBHJwWRekwqAqcxKwe5KTu6pomLDWg4fNxGTHkriqEhqUoYRPDQev7iesXaHEF2htaa+qBrToWJCcrMo3FtJdUEdccPCiRgbzZSFQ0gcHdmnA5q2JMm4WctK4EdTo7hjyUKXHLcut5ys3y8j7snfo3zO/MZ77pV3mbcni5pGG28DtwJhvj5uSaiF5ovlQA61azZhK60gcMwwQqIH4xeXiG9EFOoMPTvabsdursVWY8RWVUFdQzG2wlJsJ4vQDTZ805LxS0vBL30AvgNTMHhwSA6aalRZdx3AvHotftEhpCycQcgQ903R11pTtfUIxa+uJ2V8NHPuH0lQVPfqYf1p/AoMTs3+eQn4mx28/cJkF7e292u02CnOMlK0r4rCfVUUHajGaXcSPyKC+OERVCQMI3hwHL6Rri85IsS5sBktmHOKiS48SNH+aooOVOPj70XCqEiSRkWSmBlJXEZ4nxpyOpMzJRn36QAnJbeccJOVfc0zZpYu+gcv3T2dXePTXHJ8gCP/u5aAhIgOZ06lllaw9Pk3+aCknIe15kmluD4uhoW/vNMlOSdnYyutaMqLOXoC28kS7JVGDAF+TXkx3l7g1GibHae1Ht3YiFdoMF6R4XjHROET3w+fhFgioiNY9cq7XP/Iz1w+tNYdWmvqD+ZgWbUGgNS7pxM+foBbX7O+2EjNax9jLLQw/+FMUid0v7flN5esI7qsHgCHl+KPu64G6XVwidpSK0X7qyjJMlJ80EhxVjXefl7EZYQTlxFOeexQggb2k54ecd40VpmpO1pGv5IsSg41vScbzHbiMsJJGBHR9DMygpB+nv9s7YlkFlUbS37+TzJySnAYFKYgP6744BcsfOlOl76GzWihatsR4p74Lzoq/Xj/ig2klFdyrdZsAa7VmtTySh5Yvt4tPTgt+cRG43PpdLh0OtDU6+E0W3Ba68HhAKVQPt4of38Mgf7tDjPN/3o3Q0rK3Ta01hX1R3KpX70aW42F5DumEjVtiFu/qJyNdnzXruPQu8e4+PZB3PDsxHO6q4o4XnM6uAF4asOlEty4UGhsAKGx3yUua62pKbRQkm2kJLsG++dfkfNyDbZ6B/3SQ+mXHkZ17CACB8QQ2D8a76Bzq1Av+i6nzYH1ZBWW3HKiSg5TllND6eEaHDYnsUPDqc8IY+glicz61XAikoMkYf4c9bkAJ8Bcz4pbFxNsaQTA26nZNzzRLV8gZRv2Ezk5Ha+QjstD/PWaeczZl81Ku4O1wAzgp97eLp0S3VnKYGjqpWmnOGdbp4fWbHaeAR5e8j5P/eMDtw2tnU1DbgENn6zBWlBF8m2TiZkz3C2lFVoy7sylZPFaogeGcvd7swhLOMeEZa154NpNpx+aw3yoi5a7NndSShGeFER4UtDpoAegrqqBsiM1lOfUYjuSTfln2zl83IR/qC8xA0OITguhMmYQAclRBKRE4RMq50k0cdoc1BdWY8mvJLYyh4pjtZQfq8V4so7Q+ED6DQ7Dd1AoY29MI3ZIGKFxAdJb6AZ9KsBJPVHBu/e+3mrbHx+6nM9mD3f5a2mtKf1kH2G33dyp/fNio3nh8lnc9dF6bAYDtzudvHD5bLcPT52rv14zj+EFxW5dq6YjjXmFNGxYQ93RUpJunkS/x0Zh8Omoz+zcNJTVUvfmSkqyjMx7KJNB0+Ncctw/XvRx6ynhHqwS3tcFRfox4OJ+DLi43+lt2qkxFlmoOFZLxXET1mOHqPzURGWeGYOXIqp/MJGpTT9FoYMISIzAPz4cr0Dp9elttFPTWGmmvrAKa2E1MdXHqTxhpuqEiZoSK2FxAUQPDMWRFkL6jDgmLxxM1IAQvP3c+9kkvtNnApzrlu/kgZe/uzO2GxRXvreI2nMovnk25uxiAHwHdn5F3JF5hQQ2T4kOXPUZI/IK3dI2V3LnWjUdaSwopvHTNZgOFZF040SGPHq126cEO20OAjZ8wu43jzDupjSufGI8Pv6u+cCKzDfh1/hdTtyLb03H4ddnLtELgjIoIpKCiEgKIn3Gd8nqWmvqKhuavuDyTFTlmWH/DgrzzRgLLfgGehORFEh4UhBhiUGUBg/ALy4M//hw/OO6tnSAOH+cdgfWvEoaSmuoL60hpjaP6oI6jCfrMBZZ8Av2JjIlmMiUYAJSgsi8JpXI/k2PJfnX8y64JGOlVDmQ5+l2uEMwBDZAow3sPuDtB75msLj5ZaOBinM5wCBIC4HQUiiOhXgT1B6F4y5qX19zzudDuJScj55FzkfP0lPOR6rW+nuzOi64AEe4llJqZ3vZ58Iz5Hz0LHI+ehY5Hz1LTz8f0ocmhBBCiF5HAhwhhBBC9DoS4IhXPd0A0Yqcj55FzkfPIuejZ+nR50NycIQQQgjR60gPjhBCCCF6HQlwhBBCCNHrSIAjhBBCiF5HApw+Tinlp5RaqpTKU0qZlFJ7lFILPN2uvkYpFamUWq6Uqms+F+e3kJc4Ta6Jnkspla6UqldKve3ptvR1SqmblFKHmj+zjimlpnm6TW3JOvDCGyigqb5nPnAZsEwpNVJrfcKTDetjXgQagVhgNLBGKbVXa33Qo63qm+Sa6LleBHZ4uhF9nVLqEuAp4EZgOxB/9md4hsyiEt+jlNoHPKa1/tDTbekLlFJBQDUwQmud07ztLaBQa/2QRxsnALkmegKl1E3AdUAWMEhrfauHm9RnKaW2AUu11ks93ZazkSEq0YpSKhYYDEjPwfkzGLCfCm6a7QVcX+ZedJlcE56nlAoFHgfu93Rb+jqllBcwHohRSh1VSp1USr2glArwdNvakgBHnKaU8gHeAd7UWmd7uj19SDBQ22ZbDRDigbaIFuSa6DH+TFOPwUlPN0QQC/gANwDTaBpSHwM86sE2tUsCnF5OKbVZKaXP8LOlxX4G4C2a8kB+7rEG901mILTNtlDA5IG2iGZyTfQMSqnRwFzgWQ83RTSxNv/5vNa6WGtdAfyVply1HkWSjHs5rfXMjvZRSilgKU2R+WVaa5u72yVayQG8lVLpWusjzdsykSERj5FrokeZCfQH8ptOC8GAl1JqmNZ6rAfb1SdprauVUieBlgm8PTKZV5KMBUqpxTR1M87VWps93Jw+SSn1Pk0fEj+m6VysBSbLLCrPkGui51BKBdK6h/NBmgKen2qtyz3SqD5OKfU4sAC4HLABK4HNWus/eLRhbUgPTh+nlEoF7gMagJLmOySA+7TW73isYX3PIuB1oAyopOnDW4IbD5BromfRWlsAy6nHSikzUC/BjUf9GYimqfe5HlgG/MWjLWqH9OAIIYQQoteRJGMhhBBC9DoS4AghhBCi15EARwghhBC9jgQ4QgghhOh1JMARQgghRK8jAY4QQggheh0JcIQQQgjR60iAI4To0ZRSNyilGpoX4Du17Tml1LHmSt9CCPE9stCfEKJHa64LtQPYrbW+Ryn1IPA7YEqL2l1CCNGKlGoQQvRoWmutlHoYWKOUOgY8DMw5FdwopZbTVJDxM631DZ5rqRCiJ5EeHCHEBUEptQ24CLhSa72uxfaZQAhwhwQ4QohTJAdHCNHjKaVmA5mAAkpb/pvWejNg8kCzhBA9mAQ4QogeTSmVCSwHfgGsAP7How0SQlwQJAdHCNFjNc+cWgf8n9b6daXUdmCfUmpmc8+NEEK0S3pwhBA9klIqEvgEWKW1fhxAa30A+DfSiyOE6ID04AgheiStdRWQ0c72Gz3QHCHEBUZmUQkhLmhKqY00JSAHAVXAD7TWX3m2VUIIT5MARwghhBC9juTgCCGEEKLXkQBHCCGEEL2OBDhCCCGE6HUkwBFCCCFEryMBjhBCCCF6HQlwhBBCCNHrSIAjhBBCiF5HAhwhhBBC9DoS4AghhBCi1/l/GUPzhWAp/FoAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "\n", + "plot_gaussian_mixture(gm, X)\n", + "plt.scatter(anomalies[:, 0], anomalies[:, 1], color='r', marker='*')\n", + "plt.ylim(top=5.1)\n", + "\n", + "save_fig(\"mixture_anomaly_detection_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "oTc4Ft-mDRoW" + }, + "source": [ + "## 모델 선택" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nprykaPODRoX" + }, + "source": [ + "이너셔나 실루엣 점수는 모두 원형 클러스터를 가정하기 때문에 가우시안 혼합 모델에 사용할 수 없습니다. 대신 BIC(Bayesian Information Criterion)나 AIC(Akaike Information Criterion) 같은 이론적 정보 기준을 최소화하는 모델을 찾을 수 있습니다:\n", + "\n", + "${BIC} = {\\log(m)p - 2\\log({\\hat L})}$\n", + "\n", + "${AIC} = 2p - 2\\log(\\hat L)$\n", + "\n", + "* $m$은 샘플의 개수입니다.\n", + "* $p$는 모델이 학습할 파라미터 개수입니다.\n", + "* $\\hat L$은 모델의 가능도 함수의 최댓값입니다. 이는 모델과 최적의 파라미터가 주어졌을 때 관측 데이터 $\\mathbf{X}$의 조건부 확률입니다.\n", + "\n", + "BIC와 AIC 모두 모델이 많은 파라미터(예를 들면 많은 클러스터)를 학습하지 못하도록 제한합니다. 그리고 데이터에 잘 맞는 모델(즉, 관측 데이터에 가능도가 높은 모델)에 보상을 줍니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "sNe51FXTDRoX", + "outputId": "b4aca6ae-5e06-4331-e77e-a39e5bb59676" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "8189.747000497186" + ] + }, + "execution_count": 162, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.bic(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "4SwtJJbUDRoX", + "outputId": "657f0a6b-7f4b-4b20-d588-297bc5a82a8f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "8102.521720382148" + ] + }, + "execution_count": 163, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.aic(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "H7fsoFT7DRoX" + }, + "source": [ + "다음과 같이 BIC를 수동으로 계산할 수 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "UcTkemHoDRoX" + }, + "outputs": [], + "source": [ + "n_clusters = 3\n", + "n_dims = 2\n", + "n_params_for_weights = n_clusters - 1\n", + "n_params_for_means = n_clusters * n_dims\n", + "n_params_for_covariance = n_clusters * n_dims * (n_dims + 1) // 2\n", + "n_params = n_params_for_weights + n_params_for_means + n_params_for_covariance\n", + "max_log_likelihood = gm.score(X) * len(X) # log(L^)\n", + "bic = np.log(len(X)) * n_params - 2 * max_log_likelihood\n", + "aic = 2 * n_params - 2 * max_log_likelihood" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bfxOKCuhDRoX", + "outputId": "84bf4d75-b90c-4908-b465-80f3ff6a2ef3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(8189.747000497186, 8102.521720382148)" + ] + }, + "execution_count": 165, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bic, aic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "vsuGJbevDRoX", + "outputId": "f46161f5-b0d4-43bd-c440-d94f728bb850" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "17" + ] + }, + "execution_count": 166, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n_params" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WkDX9h-oDRoX" + }, + "source": [ + "클러스터마다 하나의 가중치가 있지만 모두 더하면 1이 되어야 합니다. 따라서 자유도는 1이 줄어듭니다. 비슷하게 $n \\times n$ 공분산 행렬의 자유도는 $n^2$가 아니라 $1 + 2 + \\dots + n = \\dfrac{n (n+1)}{2}$입니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zoc7HWS9DRoX" + }, + "source": [ + "여러 가지 $k$ 값에 대해 가우시안 혼합 모델을 훈련하고 BIC를 측정해 보죠:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "4Wh2qVf1DRoX" + }, + "outputs": [], + "source": [ + "gms_per_k = [GaussianMixture(n_components=k, n_init=10, random_state=42).fit(X)\n", + " for k in range(1, 11)]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_WSnfIWCDRoY" + }, + "outputs": [], + "source": [ + "bics = [model.bic(X) for model in gms_per_k]\n", + "aics = [model.aic(X) for model in gms_per_k]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "tQdJ_lcADRoY", + "outputId": "c91c6d83-fd3b-4845-eb6e-439d7bab57ea" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: aic_bic_vs_k_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 3))\n", + "plt.plot(range(1, 11), bics, \"bo-\", label=\"BIC\")\n", + "plt.plot(range(1, 11), aics, \"go--\", label=\"AIC\")\n", + "plt.xlabel(\"$k$\", fontsize=14)\n", + "plt.ylabel(\"Information Criterion\", fontsize=14)\n", + "plt.axis([1, 9.5, np.min(aics) - 50, np.max(aics) + 50])\n", + "plt.annotate('Minimum',\n", + " xy=(3, bics[2]),\n", + " xytext=(0.35, 0.6),\n", + " textcoords='figure fraction',\n", + " fontsize=14,\n", + " arrowprops=dict(facecolor='black', shrink=0.1)\n", + " )\n", + "plt.legend()\n", + "save_fig(\"aic_bic_vs_k_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NhJ9-lxwDRoY" + }, + "source": [ + "클러스터 개수와 `covariance_type` 하이퍼파라미터의 최적 조합을 찾아 보겠습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "So5EDgaIDRoY" + }, + "outputs": [], + "source": [ + "min_bic = np.infty\n", + "\n", + "for k in range(1, 11):\n", + " for covariance_type in (\"full\", \"tied\", \"spherical\", \"diag\"):\n", + " bic = GaussianMixture(n_components=k, n_init=10,\n", + " covariance_type=covariance_type,\n", + " random_state=42).fit(X).bic(X)\n", + " if bic < min_bic:\n", + " min_bic = bic\n", + " best_k = k\n", + " best_covariance_type = covariance_type" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "niKPRTqYDRoY", + "outputId": "75937d83-5e9a-429a-b48e-57004ed3d4b4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 171, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_k" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "X-Qw7xm5DRoY", + "outputId": "3824cd45-c9cc-4706-878f-39b8edc4c203" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'full'" + ] + }, + "execution_count": 172, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_covariance_type" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "PPkBme3ADRoY" + }, + "source": [ + "## 베이즈 가우시안 혼합 모델" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wmHkCkijDRoY" + }, + "source": [ + "최적의 클러스터 개수를 수동으로 찾는 대신 `BayesianGaussianMixture` 클래스를 사용해 불필요한 클러스터의 가중치를 0으로 (또는 0에 가깝게) 만들 수 있습니다. 최적의 클러스터 개수보다 큰 컴포넌트의 개수를 지정하면 됩니다. 이 알고리즘은 자동으로 불필요한 클러스터를 제거합니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "jGzspmUTDRoY" + }, + "outputs": [], + "source": [ + "from sklearn.mixture import BayesianGaussianMixture" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "n8qrmkziDRoY", + "outputId": "1077a2fb-8762-426d-d30d-00e034e7d534" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)" + ] + }, + "execution_count": 174, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", + "bgm.fit(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zsanXevHDRoZ" + }, + "source": [ + "알고리즘이 자동으로 3개의 컴포넌트가 필요하다는 것을 감지했습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "nqAETp3dDRoZ", + "outputId": "5ed7b733-9682-4d73-8dd7-9eb6806eb615" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.4 , 0.21, 0.4 , 0. , 0. , 0. , 0. , 0. , 0. , 0. ])" + ] + }, + "execution_count": 175, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.round(bgm.weights_, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "hHUizzBaDRoZ", + "outputId": "7639219d-3105-4166-ea89-b99fbd869035" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 5))\n", + "plot_gaussian_mixture(bgm, X)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1NGfkTxzDRoZ", + "outputId": "390c1be5-86f2-4cd9-ec6f-0cb60c7dc820" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "BayesianGaussianMixture(max_iter=1000, n_components=10, random_state=42,\n", + " weight_concentration_prior=10000)" + ] + }, + "execution_count": 177, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bgm_low = BayesianGaussianMixture(n_components=10, max_iter=1000, n_init=1,\n", + " weight_concentration_prior=0.01, random_state=42)\n", + "bgm_high = BayesianGaussianMixture(n_components=10, max_iter=1000, n_init=1,\n", + " weight_concentration_prior=10000, random_state=42)\n", + "nn = 73\n", + "bgm_low.fit(X[:nn])\n", + "bgm_high.fit(X[:nn])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "P6Epp0-LDRoZ", + "outputId": "bd81dc09-33cd-496a-ca32-5ba0c292c1ba" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.52, 0.48, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ])" + ] + }, + "execution_count": 178, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.round(bgm_low.weights_, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HPn654aXDRoZ", + "outputId": "b87e4b8e-0219-4e91-9192-7655f0e49a8c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.01, 0.18, 0.27, 0.11, 0.01, 0.01, 0.01, 0.01, 0.37, 0.01])" + ] + }, + "execution_count": 179, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.round(bgm_high.weights_, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "WIt9zFf_DRoZ", + "outputId": "91cd0249-d29a-440a-b77e-98704e19b75c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: mixture_concentration_prior_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 4))\n", + "\n", + "plt.subplot(121)\n", + "plot_gaussian_mixture(bgm_low, X[:nn])\n", + "plt.title(\"weight_concentration_prior = 0.01\", fontsize=14)\n", + "\n", + "plt.subplot(122)\n", + "plot_gaussian_mixture(bgm_high, X[:nn], show_ylabels=False)\n", + "plt.title(\"weight_concentration_prior = 10000\", fontsize=14)\n", + "\n", + "save_fig(\"mixture_concentration_prior_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "RVCwOr5fDRoa" + }, + "outputs": [], + "source": [ + "X_moons, y_moons = make_moons(n_samples=1000, noise=0.05, random_state=42)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "OdezfDVjDRoa", + "outputId": "253d80fe-e61c-42d9-994d-2a5733f5a80c", + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)" + ] + }, + "execution_count": 182, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", + "bgm.fit(X_moons)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2oMhTT5RDRoa", + "outputId": "d3d7c1c3-5589-497a-da36-42782b862f71" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: moons_vs_bgm_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 3.2))\n", + "\n", + "plt.subplot(121)\n", + "plot_data(X_moons)\n", + "plt.xlabel(\"$x_1$\", fontsize=14)\n", + "plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", + "\n", + "plt.subplot(122)\n", + "plot_gaussian_mixture(bgm, X_moons, show_ylabels=False)\n", + "\n", + "save_fig(\"moons_vs_bgm_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YzWdpuvaDRoa" + }, + "source": [ + "이런 좋지 않군요. 반달 모양 클러스터 2개를 감지하는 대신 이 알고리즘은 8개의 타원 클러스터를 감지했습니다. 하지만 밀도 그래프는 그렇게 나쁘지 않기 때문에 이상치 탐지에 사용할 수 있습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "fH1GWynkDRoa" + }, + "source": [ + "**가능도 함수**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "qvtG1K6zDRoa" + }, + "outputs": [], + "source": [ + "from scipy.stats import norm" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "KngXxSwlDRoa" + }, + "outputs": [], + "source": [ + "xx = np.linspace(-6, 4, 101)\n", + "ss = np.linspace(1, 2, 101)\n", + "XX, SS = np.meshgrid(xx, ss)\n", + "ZZ = 2 * norm.pdf(XX - 1.0, 0, SS) + norm.pdf(XX + 4.0, 0, SS)\n", + "ZZ = ZZ / ZZ.sum(axis=1)[:,np.newaxis] / (xx[1] - xx[0])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "jbX4SWlbDRoa", + "outputId": "9fd330c8-fd04-4489-a9d4-a1e785ce1b0d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "그림 저장: likelihood_function_plot\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib.patches import Polygon\n", + "\n", + "plt.figure(figsize=(8, 4.5))\n", + "\n", + "x_idx = 85\n", + "s_idx = 30\n", + "\n", + "plt.subplot(221)\n", + "plt.contourf(XX, SS, ZZ, cmap=\"GnBu\")\n", + "plt.plot([-6, 4], [ss[s_idx], ss[s_idx]], \"k-\", linewidth=2)\n", + "plt.plot([xx[x_idx], xx[x_idx]], [1, 2], \"b-\", linewidth=2)\n", + "plt.xlabel(r\"$x$\")\n", + "plt.ylabel(r\"$\\theta$\", fontsize=14, rotation=0)\n", + "plt.title(r\"Model $f(x; \\theta)$\", fontsize=14)\n", + "\n", + "plt.subplot(222)\n", + "plt.plot(ss, ZZ[:, x_idx], \"b-\")\n", + "max_idx = np.argmax(ZZ[:, x_idx])\n", + "max_val = np.max(ZZ[:, x_idx])\n", + "plt.plot(ss[max_idx], max_val, \"r.\")\n", + "plt.plot([ss[max_idx], ss[max_idx]], [0, max_val], \"r:\")\n", + "plt.plot([0, ss[max_idx]], [max_val, max_val], \"r:\")\n", + "plt.text(1.01, max_val + 0.005, r\"$\\hat{L}$\", fontsize=14)\n", + "plt.text(ss[max_idx]+ 0.01, 0.055, r\"$\\hat{\\theta}$\", fontsize=14)\n", + "plt.text(ss[max_idx]+ 0.01, max_val - 0.012, r\"$Max$\", fontsize=12)\n", + "plt.axis([1, 2, 0.05, 0.15])\n", + "plt.xlabel(r\"$\\theta$\", fontsize=14)\n", + "plt.grid(True)\n", + "plt.text(1.99, 0.135, r\"$=f(x=2.5; \\theta)$\", fontsize=14, ha=\"right\")\n", + "plt.title(r\"Likelihood function $\\mathcal{L}(\\theta|x=2.5)$\", fontsize=14)\n", + "\n", + "plt.subplot(223)\n", + "plt.plot(xx, ZZ[s_idx], \"k-\")\n", + "plt.axis([-6, 4, 0, 0.25])\n", + "plt.xlabel(r\"$x$\", fontsize=14)\n", + "plt.grid(True)\n", + "plt.title(r\"PDF $f(x; \\theta=1.3)$\", fontsize=14)\n", + "verts = [(xx[41], 0)] + list(zip(xx[41:81], ZZ[s_idx, 41:81])) + [(xx[80], 0)]\n", + "poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n", + "plt.gca().add_patch(poly)\n", + "\n", + "plt.subplot(224)\n", + "plt.plot(ss, np.log(ZZ[:, x_idx]), \"b-\")\n", + "max_idx = np.argmax(np.log(ZZ[:, x_idx]))\n", + "max_val = np.max(np.log(ZZ[:, x_idx]))\n", + "plt.plot(ss[max_idx], max_val, \"r.\")\n", + "plt.plot([ss[max_idx], ss[max_idx]], [-5, max_val], \"r:\")\n", + "plt.plot([0, ss[max_idx]], [max_val, max_val], \"r:\")\n", + "plt.axis([1, 2, -2.4, -2])\n", + "plt.xlabel(r\"$\\theta$\", fontsize=14)\n", + "plt.text(ss[max_idx]+ 0.01, max_val - 0.05, r\"$Max$\", fontsize=12)\n", + "plt.text(ss[max_idx]+ 0.01, -2.39, r\"$\\hat{\\theta}$\", fontsize=14)\n", + "plt.text(1.01, max_val + 0.02, r\"$\\log \\, \\hat{L}$\", fontsize=14)\n", + "plt.grid(True)\n", + "plt.title(r\"$\\log \\, \\mathcal{L}(\\theta|x=2.5)$\", fontsize=14)\n", + "\n", + "save_fig(\"likelihood_function_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6alksrcuDRob" + }, + "source": [ + "# 연습문제 해답" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Nc4al8u5DRob" + }, + "source": [ + "## 1. to 9." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HQhBj9qDDRob" + }, + "source": [ + "부록 A 참조." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y_kYgPHtDRob" + }, + "source": [ + "## 10. 올리베타 얼굴 데이터셋 군집하기" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "etEFi3bNDRob" + }, + "source": [ + "*문제: 전통적인 올리베티 얼굴 데이터셋은 64×64 픽셀 크기의 흑백 얼굴 이미지 400개를 담고 있습니다. 각 이미지는 4,096 크기의 1D 벡터로 펼쳐져 있습니다. 사람 40명의 사진을 10장씩 찍은 것입니다. 어떤 사람의 사진인지 예측하는 모델을 훈련하는 것이 일반적입니다. sklearn.datasets.fetch_olivetti_faces() 함수를 사용해 데이터셋을 불러오세요.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ppcrzVPtDRob" + }, + "outputs": [], + "source": [ + "from sklearn.datasets import fetch_olivetti_faces\n", + "\n", + "olivetti = fetch_olivetti_faces()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "QQg7UPHbDRob", + "outputId": "865e64fc-b99d-40e4-86f9-75727c738622" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + ".. _olivetti_faces_dataset:\n", + "\n", + "The Olivetti faces dataset\n", + "--------------------------\n", + "\n", + "`This dataset contains a set of face images`_ taken between April 1992 and \n", + "April 1994 at AT&T Laboratories Cambridge. The\n", + ":func:`sklearn.datasets.fetch_olivetti_faces` function is the data\n", + "fetching / caching function that downloads the data\n", + "archive from AT&T.\n", + "\n", + ".. _This dataset contains a set of face images: http://www.cl.cam.ac.uk/research/dtg/attarchive/facedatabase.html\n", + "\n", + "As described on the original website:\n", + "\n", + " There are ten different images of each of 40 distinct subjects. For some\n", + " subjects, the images were taken at different times, varying the lighting,\n", + " facial expressions (open / closed eyes, smiling / not smiling) and facial\n", + " details (glasses / no glasses). All the images were taken against a dark\n", + " homogeneous background with the subjects in an upright, frontal position \n", + " (with tolerance for some side movement).\n", + "\n", + "**Data Set Characteristics:**\n", + "\n", + " ================= =====================\n", + " Classes 40\n", + " Samples total 400\n", + " Dimensionality 4096\n", + " Features real, between 0 and 1\n", + " ================= =====================\n", + "\n", + "The image is quantized to 256 grey levels and stored as unsigned 8-bit \n", + "integers; the loader will convert these to floating point values on the \n", + "interval [0, 1], which are easier to work with for many algorithms.\n", + "\n", + "The \"target\" for this database is an integer from 0 to 39 indicating the\n", + "identity of the person pictured; however, with only 10 examples per class, this\n", + "relatively small dataset is more interesting from an unsupervised or\n", + "semi-supervised perspective.\n", + "\n", + "The original dataset consisted of 92 x 112, while the version available here\n", + "consists of 64x64 images.\n", + "\n", + "When using these images, please give credit to AT&T Laboratories Cambridge.\n", + "\n" + ] + } + ], + "source": [ + "print(olivetti.DESCR)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "re8jDiztDRob", + "outputId": "b54e4727-ee47-4d4e-818a-93fcd70cb04b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,\n", + " 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5,\n", + " 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6,\n", + " 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8,\n", + " 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10,\n", + " 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11,\n", + " 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13,\n", + " 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15,\n", + " 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,\n", + " 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18,\n", + " 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20,\n", + " 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22,\n", + " 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23,\n", + " 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25,\n", + " 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27,\n", + " 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28,\n", + " 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30,\n", + " 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,\n", + " 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,\n", + " 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35,\n", + " 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37,\n", + " 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39,\n", + " 39, 39, 39, 39, 39, 39, 39, 39, 39])" + ] + }, + "execution_count": 189, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "olivetti.target" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "qwHs8pINDRob" + }, + "source": [ + "*문제: 데이터셋을 훈련 세트, 검증 세트, 테스트 세트로 나눕니다(이 데이터셋은 이미 0에서 1 사이로 스케일이 조정되어 있습니다). 이 데이터셋은 매우 작으니 계층적 샘플링을 사용해 각 세트에 동일한 사람의 얼굴이 고루 섞이도록 하는 것이 좋습니다.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "nXwGS4KLDRob" + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import StratifiedShuffleSplit\n", + "\n", + "strat_split = StratifiedShuffleSplit(n_splits=1, test_size=40, random_state=42)\n", + "train_valid_idx, test_idx = next(strat_split.split(olivetti.data, olivetti.target))\n", + "X_train_valid = olivetti.data[train_valid_idx]\n", + "y_train_valid = olivetti.target[train_valid_idx]\n", + "X_test = olivetti.data[test_idx]\n", + "y_test = olivetti.target[test_idx]\n", + "\n", + "strat_split = StratifiedShuffleSplit(n_splits=1, test_size=80, random_state=43)\n", + "train_idx, valid_idx = next(strat_split.split(X_train_valid, y_train_valid))\n", + "X_train = X_train_valid[train_idx]\n", + "y_train = y_train_valid[train_idx]\n", + "X_valid = X_train_valid[valid_idx]\n", + "y_valid = y_train_valid[valid_idx]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "xdVsZIMwDRob", + "outputId": "56395bfc-b3e2-4bc1-ebe4-3c72eaf36de4" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(280, 4096) (280,)\n", + "(80, 4096) (80,)\n", + "(40, 4096) (40,)\n" + ] + } + ], + "source": [ + "print(X_train.shape, y_train.shape)\n", + "print(X_valid.shape, y_valid.shape)\n", + "print(X_test.shape, y_test.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "61tzdOHPDRoc" + }, + "source": [ + "속도를 높이기 위해 PCA로 데이터의 차원을 줄입니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2t17kT3gDRoc", + "outputId": "c3ba1418-56b2-4e68-bcdc-f0d91920334a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "199" + ] + }, + "execution_count": 192, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA(0.99)\n", + "X_train_pca = pca.fit_transform(X_train)\n", + "X_valid_pca = pca.transform(X_valid)\n", + "X_test_pca = pca.transform(X_test)\n", + "\n", + "pca.n_components_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "p1i_dLopDRoc" + }, + "source": [ + "*문제: 그다음 k-평균을 사용해 이미지를 군집해보세요. (이 장에서 소개한 기법 중 하나를 사용해) 적절한 클러스터 개수를 찾아보세요.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2u8ifzTmDRoc", + "outputId": "50a00b18-17f0-4976-d288-ad55e9904c6f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "k=5\n", + "k=10\n", + "k=15\n", + "k=20\n", + "k=25\n", + "k=30\n", + "k=35\n", + "k=40\n", + "k=45\n", + "k=50\n", + "k=55\n", + "k=60\n", + "k=65\n", + "k=70\n", + "k=75\n", + "k=80\n", + "k=85\n", + "k=90\n", + "k=95\n", + "k=100\n", + "k=105\n", + "k=110\n", + "k=115\n", + "k=120\n", + "k=125\n", + "k=130\n", + "k=135\n", + "k=140\n", + "k=145\n" + ] + } + ], + "source": [ + "from sklearn.cluster import KMeans\n", + "\n", + "k_range = range(5, 150, 5)\n", + "kmeans_per_k = []\n", + "for k in k_range:\n", + " print(\"k={}\".format(k))\n", + " kmeans = KMeans(n_clusters=k, random_state=42).fit(X_train_pca)\n", + " kmeans_per_k.append(kmeans)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "kXb2hAZFDRoc", + "outputId": "13800ecd-bf65-4973-c808-9dcbb9566e9c" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import silhouette_score\n", + "\n", + "silhouette_scores = [silhouette_score(X_train_pca, model.labels_)\n", + " for model in kmeans_per_k]\n", + "best_index = np.argmax(silhouette_scores)\n", + "best_k = k_range[best_index]\n", + "best_score = silhouette_scores[best_index]\n", + "\n", + "plt.figure(figsize=(8, 3))\n", + "plt.plot(k_range, silhouette_scores, \"bo-\")\n", + "plt.xlabel(\"$k$\", fontsize=14)\n", + "plt.ylabel(\"Silhouette score\", fontsize=14)\n", + "plt.plot(best_k, best_score, \"rs\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "IXOX5gG7DRoc", + "outputId": "c200ecea-4e2c-4f55-f9f0-bb9b037ae878" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "120" + ] + }, + "execution_count": 195, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_k" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ICT6YDJHDRoc" + }, + "source": [ + "최적의 클러스터 개수는 120개로 매우 큽니다. 사진 속의 인물이 40명이기 때문에 아마 40 정도로 예상했을 것입니다. 하지만 같은 사람이 사진마다 다르게 보일 수 있습니다(예를 들어, 안경 착용 유무나 서 있는 방향이 다를 수 있습니다)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "KEF-5XgMDRoc", + "outputId": "68a78678-5803-4541-e3d8-3a2e5f1c8c7d" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "inertias = [model.inertia_ for model in kmeans_per_k]\n", + "best_inertia = inertias[best_index]\n", + "\n", + "plt.figure(figsize=(8, 3.5))\n", + "plt.plot(k_range, inertias, \"bo-\")\n", + "plt.xlabel(\"$k$\", fontsize=14)\n", + "plt.ylabel(\"Inertia\", fontsize=14)\n", + "plt.plot(best_k, best_inertia, \"rs\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "em78FKyPDRoc" + }, + "source": [ + "이너셔 그래프에서는 엘보우 지점이 없기 때문에 최적의 클러스터 개수가 명확하지 않습니다. 그냥 $k=120$을 사용하겠습니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ysbfHV12DRod" + }, + "outputs": [], + "source": [ + "best_model = kmeans_per_k[best_index]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "K032vkFzDRod" + }, + "source": [ + "*문제: 클러스터를 시각화해보세요. 각 클러스터에 비슷한 얼굴이 들어 있나요?*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "B9zXy2JUDRod", + "outputId": "ec9b3c64-74b6-43cb-b84d-49906a85d0dc" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 0\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 1\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 2\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 3\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 4\n" + ] + }, + { + "data": { + "image/png": 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Dgc0vz5rNZrW3t6e9vT3l83nDafjsxWJhoYFXaIRJk8nEFBEeryRbQ2/VAYVLpZJ9/33CvPGZ/X7f9g1KdTQa6fPPP1c6nVY8HjdvH4XJPgT3wjj6EHA+nxsuNJvNbJ38WhCm4/n6rOltnPLo6GinNUR8wiGRSJjCYf/H43GNRiO1221TIu12W51OR9PpVNPpdCt8LxaLFtazf7PZrJ3D2Wxm4/TUFLxG1g3PmnGTjCJCwIO6y7vfaTd7995nhQjtALkqlcqWgvKWDQsCuAefAcCVCYHbguc1mUw0GAw0mUy2MBxcQ+kGJPSALc+1i3isg7ga6wDmxWu63a5Go5Fms5nhZ4SnqVTKFtdTErAizKHP4HleFRvf0wxQTKlUagsILRQKCsNwK6u161oyTuaW+RsOh1vjZDN61z2TyWg8Hms8HqtcLpuyBjT21ACUNwpmPB5bGMYmzmQyhk+AafGcKM0gCAxEvk/8YfV4kd87jG0+n2s8Huv8/NzmYTwem9EDq/HZvHK5rHw+b5k49qUHvL1X5vclXjXGj/9j7PV63bKv9wnZMEkWLo5Goy0axWAwUK/XUyqVsrCfcXt6AiEVIDkhr8/OYaiJXJgjSYa5sl/JxHtvPJ1OWwb65OTkTg//zlPr0/W3XXM0JS6fJ1zhSeFBFItF5XI5i7vZNLh1+XzeiF3dblfj8VivX7/W5eWlaWdJW9gG1hhAVtrO7BEe7CI+Pctzs5k5GD4DQbhHuMgc3Qbli8WihXilUkm5XE6j0ciAP6wPi8e8kNZlE7MWt+kTALpvQn/wXgTeKxk9gO1YLGYYIJgKXgFKC68mCALV63VVKhXz/uLxuKX4IbwC8nsMivny2BrzyEHDMgNY77qeeEd+HVkrvF0gCThuPAfhDgZkPp9vZcrYh3iceMBghygsDC9ZXZ/o8cC9D/nIzu6yjkEQmELg+VCuGB1oJOB9GAHpRoED+DN3jJ89iJeOseX5Z7OZ5vP5VriM8WQNPF0ml8up3++b8vs62Tl844s5kBxSLCGa1GcysIZkU4rF4pa1J3uWyWQsNicbcXp6qtFotOUqsjFJ9aKpmRw8GB/m7SJYOukGlGYTszGZXHCn2Wym4XBoKeJsNmvgH7hWMpnU8fGxWZXlcqkXL16o2WyaG83nsnkJMabTqT0/yh98xGMWhAC7jtMrNzYUhx8DgfWEq8OGJqNUKBTsoLIvWEd/4BaLhWVfPDmT9cfD4vuwwHiOXrkQAt0nKBGME0Bvv9831rzHKHl+vHgSEhxeDDBVBXjEEGoJnyCBkujhHPhMnt+3kGqZF7/HdxGY8GEYmvJhDADmrBvPwus4a7FYzPBBH1mwfjgNKKNYLGZ8QB8GooiZRxQakYznQOFFYcC+Su7lKQHiAYyhgTudjimBVqulfr9vlIBcLqfj42Oz/LiLcEb8BOAao92xwoB3bBRPcU+lUqrVarZxCOdKpZJZBjbWLrJarZTNZrc8Lo/nwJUhBAG45vkBYVlkQod0Oq0HDx4on89LuiaU+XQ7B8dbYp6dTCKYxm0+EZbyTT1C3ivJFCoWUZIB3mB/w+HQjAOZGKweioQ0caFQMC/ztnWWtBUijUYjw1lKpZKKxaKtGWES+M+bjBOvln3qS5AomyDU8aG4JDt8q9V1qc/x8bERiPHYYrGYqtWqHj16ZP8eDAbGPbq6urLDP51OLaxjnOCdi8XClDKK0pM975NcLmfemTek0Az6/b5hwJ1Ox54nkUjo6OjICMcon3q9buuBsS+VSnr69KmF15PJRB9//LGGw6EuLi62jDd7itd6rp7fcxjdX5s86b0RFMZ8PrfaHkBvDxRK1xyKDz74QOPxWM1m03AGny4mO+Pr33x6lRCCbEmz2VSpVNLV1ZVtPDR8GIYqlUqq1+sqFosWFuy6wJIM32LxUBxXV1dmbePx+FY9G3VFBwcH6na7Zqmkm/Q5jHgsjbf4bCasM8oOjwFyJQD6wcGB8vm8ucU+rb+LAEJiZPL5vHkmi8XCsnnUqYHpJZNJPXz4UPV63Sw6hw1sw68dBwUFK8msJKB1u91Wu902DI/QEM4LB8cD/7ukyyuVis0l8zkajdTr9XR2dmaJGTh2GLtsNqv3339fqVRKL168kKQtcBdDCvv/8ePHdgAvLi6M2Y2Cmk6nloTwRNJcLqdut2uVAxgtFMauPCWf9SKSGQ6HajabOj8/N8OwXq8tYYFjcXR0pP39fX3yyScaj8emWJh/1jifz+vx48dmSFutlp4/f27fhcGCkIlh9rWGeN/eGHs86qvkTqU0Ho/N5Q/D0BZysVjYhiFsgWeyWq30/vvv6/Hjx+p0OspmsxqPx3a4ONyFQsE4I8TvxLXJZNIsVLVaNQC90WjYwh4eHmo8HqvValnYUKlUVCqVFASBWdhdxGelJpOJYWPNZtOyBpQL4IbynAcHB2bdUYRBcF0oCSaEN+EBbQ9es5CSzEvhMyQZgDmfz/Xs2TNTtij4XcWHEWxYsjZXV1dqtVpbXDTpGlAvFot6/PixTk5OzO3H+2ODweqXZCERY6tUKsrlcppMJsZ0zmQyZsHxeklzwxXy3iFh/H0CrQElNhqNdHl5qXa7rV6vZwaxXC5vgen7+/t69uyZGd9ut7vF3PZzkc1mzdj4UF26wf7whvCSUqmUHjx4oMPDQ/3yl780OkEymdTTp09VqVTeiDwJHgZw3e/3dXl5qW63q1gsplqtZiFwOp02jGt/f1/vvfee4vG46vX6Fu0ExUJ1BKEqHjJGjT2CAfaZXHiE1WrVWPr5fN7gGxT7XfSOe8O3yWRiFgfrWq1Wlc/nDeAG0CN1nsvljA+RTCaNm1Qul22zQOSDKwKuwoavVqvmbRQKBcViMaMG5PN5HRwcqN1um4bP5XJbVg3lsIuQGsZFRRlD4CObhIcG/QCFMJ1ObcLBGh48eGAEO1+wLMnwGzYLfKparaZyuWzM7QcPHmxlxWKxmMbjsSQZFvMmnhJkT8IbcIfhcKhcLqfHjx9Lknmuo9HICi+r1aphHmQ+CWuy2axGo5GxpD1uCAYF0Ev4/ezZMx0fH2uxWFg5D96V56YR0gFQ3yfZbNawDugAlJw8e/ZsK+GCZzOZTExJzedz25u8F4VTr9d1dHRk7Gj4TJKMHsH75/O5cZI4sCcnJ8pkMjo5OdFkMjES7WAwMExu16QF1JBYLKarqyslk0k9evRIjx49Ms8aXM+H4fl83vZAsVi0ZE2pVDKvtFKp6Pj42JQuXLrNZmP7G68ZzA/DG4ahHj9+bE4DuGu/37eEFwrw6+RepUT2bDKZ2CA4DFgyNuJwOLRCSl83xMakaHG9XtuG5pCVSiXzJAjbUCzD4dDCJLhL2WxWDx8+NAvjwx/fumEXIQzJZrP63ve+p4cPH255iWBlCJsM9x5XOp/Pq1QqqVQq2YZhw3sKANQBn6kjW5fNZrW/v69sNmsZSf+cgOOEQ5J2SpVLMmyKUANLfXBwYMWbnm/D5/qMkiRTIl7Ab9j0WF0UPp+NB0RbETxGOGeEg8vl0hIbkEd3Cd+o63vw4MFWyxAOF0C8dK18wV6AJsCviAQgOm42G52cnOj4+FiJRMLInZyFQqFgpRbL5dLYyxgrSUYx+OCDD8zg8v14ELuSJ2lF8uDBA33ve9+zPYm3Cf4KrouxBTKAJ4bRwZCvVisdHR3p4cOHRhXw3UFyuZzq9bo5Fu1222g9YKnUNx4dHVmhOwaQOf21lRKTHo/HrQgPLgaKxysBsBNew2Hn9/F43EIgvARf2oCVxFJy6HAJoegDKBMa+Lq5+XyubDa7hXHdJ2wIJr5QKKhUKmk0Gm2VGcA78coOTzCXy1nRJaEcpQsoHRSZJAM9fXaHchkUHO9FWWMIcLfxVHe1rnCL0um0KQTP2vbAKbWKZOY4sITshCweUAa89V4lip1n92EfCoc54JAQyuGxDQYDSbpzI3vBmzs6OtJ8Ple327V91e12rR5MuiFIYuU9Dy6RSCiXy6lYLKpUKunhw4fK5/NaLBbqdDrK5XIWslJ4CwZXqVQMmqAIuFqtbpVRedIwc8lY7xOeFeB6tVqp2WwalgNe5nlUJGR8mYk/nz5Ur1Qq2mw26vV65piQfa9UKqasfNkKjgde8f7+vp1LsDb0wF0lYPcW5AJqkrqkmHF/f984RWQwWFAmGbcXC+HTnxxUNjsHC94HFpv3cnA8JsPzFQoFTadTcy05XLsuMACdr9cCR5JkVedkBT2YSxxdLBZNORHioSBxb1Fo8/ncmNDlctm8H8bv0/7MH4qQMXPgmcddBE8JwiefixLCOwLD4iBjRPCgWF+UrOe4eAAc70e6KZYulUr2/RyW29mY9XqtUqlkhsWXUNwnrCOGKpFIaG9vz8qCKHcAxGfMHE6UZiKRsNcCV9wOicrlsmq1msEOxWJR7Xbb5rJYLNo8ENLi/VOeQ70cns2uReSeIMrn7u/vGycqm82qVCpZVwK/Jp55j+Il/GQP+7Ul7OJ8kyAJw1C1Ws3WCGNQKBRszOgPf6YoDP7afXrXwP1khmFoDdAkWVoepi0ZIbJlcB3Y0D6TRx0N4DIAH6EhiousCGUMHGyejUll4Ew4mbBd3H1Jlr73rGLabMBtSafTxmD2fCzCrkqlYmEGHiCHlU3HYeT3lUpF9XpdkmwOOSD8SDfdAPE++WyvDHYR1og5n81mFnYwh4QFhDiEBBwWwhmUPp6uZ557VrMfE32ppBsOHAYGvAsAFZa8rxncdYy8xzcDBFYg/U1ihpDfVw0kEgnr98RB4rk8WXY4HOro6MisPy1warWaUqmUeZl8JrWHCJyeX4fG4rleFC4XCgXrxAoOSO8j9iuZOE/joCsGZ5QQj5B2PB7r6OjIziUeIorXE38xBJxHz60jOsIr/Tq5Uymx+alf4U+ftoadyWHhYX0mjU2KhfHuPdqeg0+qlAwYn++xgNu8Hax6JpNRv9/feWERrPZ0OrWyDb4PmsBtngxlMVgGH8YQykg37HPAfDwH6BTSdWU7+BPfRXgG+c6PXZJldaQbwP0+wXvg81gXj/Xh4bLBCM99HZvnjuE5YCQI+7y35zciOCWKjO9l/Rkvh8bTHnYJU0m3Uw7C57MnMA4oQ8+kxgMAG8SLYpwYE8bv8U1+CPE9Ix8vhSQM4RvhKwbYUyjuE86Gp9tQuBwEgXGk8Bo9a565KJfLlgnF64dQ6zl07GfOJjBNsVhUsVjc8u7JSnrogfnHY8N4fZ3cOQNkZdhoLCKgpf9wNiUuvCRTHHhbt62ND1kkmdJjQHhcgHC8zoPrCG6xr57e1VPikHI4/YFCGaFEeR4yKzwHXBFfzIuC5vDhqYArDAYDwxvIUPoDjyKQtIWxEMby7LumkcGQZrOZ4UIoNBQJh4XXsy4es2O+WEdCH54JpeZZ4ZAWcfN9HZh/Pp8qJrzCU9xF+RKKkDkig4axgUyJt4h34js4oixYUyIAz+4HO+M8AAZLsmxatVo1Hhj7wuM4/X5/C6MEJ9pF8M7wvNljPpGBsScL7tfKFxejOHEaPJEZY7vZbLY6ss5ms6020bye8bCPcEbYY9SR/to8JUk2CL8YKCU2EJuZzZjNZrcsPYsJDoJWlmReBINhUnnvaDRSrVaz75RkVsUfcDI3/Jvn2kWYTP4O8YznQwHxezwpDiebAsuCx+G9K8BqPE14I4PBwDKP4E8e22IeWGDPFGaMuypfr8g8wM76eSzPGxnP5/HeqQ+n8aIwQgDieBcQCjFObEzvQUiy+cMj8cz+XTAllCv0AZQRyQxS/2CCjFeSrSHKgQN924PlWdnv+XxerVbLDjqhIs/juTl+XsEfqT1Eye0iPDeRB96PT0Z47AiqjffQGLM3Mr5MS5Kdd4whP5vNxmg/e3t7liiBeOz5jT5qwLG5a5z3UgLABgg78CZ82p1N5n/vNW0ymTQLhQb3gDULxST5SWXgpOw53H5x8CiwRBzmXa2OD1Hg0XgsjIWQbpSADzNIteLq+wyOL36UZCRCFDSeEZQDQmKPKYFNSLJ55HD7z95FUJhYWBSTdLMBpRsFhncYj8fNiqJ8PRaI98YmJ6ylZzqdAtj47JXbeKDfD1AIvMW/Tyit4LBQGgWxFat+u22KD8vACvHk2LMYGuaPPeNrMvf399VsNtXr9YznhjHyXiihO2RZHxruIsw/qXkMCYoRx8B70uxZlIc3pt5L4lyihPGyWGeST3QMYS1Zf/8n5GOMAM9011reqZR8lseDYGEY2sHhS7wF5bAyyUwGlk+6qd3CijFx/JuYHowGzep5LShENC8D5+9vEr759DjpeEBeFAzfx5j48dYdpYkiYYH8szAvsOShV/iMpX+fD6s8DcCHg7uIzxaikDy7m+/y84rigTCIAuW78aQgTvIs3mtlA+JB+DQyr/chMHMD1jKfz8063yfUYO7t7alerxu8wAH0xa9e8WBQxuOx+v2+vQaFhDJhHX13DPC5ZDKp/f19u/gA+MMre97jwWC8ieVyqVwut9Na4nWSaUMpcMZwBm5jVuxxyKXMvU/MSNsdM32UApRydHSkV69eWY8sMrKe6uIxVOpHWVvP+7stdyolFosMGF/ksQ0/0SgfhNQ4B5fJ8l4RC8PmZLGpl0GD89lMEKEkG4LP9lmsXUmF/hAC0nm3Fs8GnIGF5WCyGXyalU3mx8kmh6wH2xemLd/rU/ccGjwk5t9/9q4Cc1e62XQod6ylx+tQYihcr5Q95ubnQbrBO/CQvNcFw92XZXiPmzCC7+YzAHPvk/V6rXK5bC1AUAA+a+Y9Ok8QxcNindlHPD8GwJfRkDlDCeTzefNCYTH7li7sM8J35pHP27XZGx4IOI/3qqWbtjaeuMhaAV6jqFAe/NuP18Mw7DkyqZQDQaz2nSyZQ+91ea/sLo/wTqWEdWGAaF5cPLIueFAcIL6c/+Ng+3idg8BCeQsNoY0yFCw0wJp0A8JKN3Ex1pZDs+uBjcfj9uyAhB5IZ7x8vrfibDAsATV7/M6DpRwCvDH6NNNjhs+klamvuMZb5P3MHWPfRZhn76Xe9ha80UBJYX0JZVDSVKrDfufzCeU8lYT6Rpj6PDvkVNbTY0kei/RZuLuEMINQjH2KYvIHjrGzFz2VhR94PKVSaYsdDg6EcpFu8CPmeDgcWi0a88L8evIxypewdxeBziHJFA4h5Fc1WKQEizXAK0JJcf68gfBwhA/Xyfqxt/v9vvXe9xlTj5MxJ3zGw4cPv3Zsdyol0odoXA8A+vjUA6E+vPFZDo+18MOGQymwSSHasQHQxnhreBIces8Mvx1y7CJ8PxsR7ojPNoFR+TGwqFSkr9drKzXAQlD3c5v6wMEkZUuhM8WreILSDajsrTmL/CbjxHr5myloT8O/PbnVGw+sK2OdTCZ2o4bHJjh0HDLGmslkNBwOt7J27C+wJEmWkvagK4D0LulyD6z6jBe/83ikB+79WoKD8TvS/XhrHEb2HePyCRbWtdVq2XvYQ/wOhYaSJwO8i3C2ULQeQmDtvCFFKeIBMrd8dzwet+p+vOQwDK2OkPWXtHVpQBheFwZ3u10FQWBOA3PlKQXMUSwW07Nnz752bPcqJe9FoBBQOKSBPb4h3TRd4wCQvcAL8BaehfV4hv9cmMMcCPAd3HI27e3Mnt/o9wmHVbrZmLjtPJMPM1Go0g0RFDCcA8uBXC6XppToQBAEgVV3c6Bh83JYvVfmx3g7Nb1LRgrxSQusMh4YIKZnfLMHGCfhhidG+jQ2ioj3MScclOXypsgW75P59Sl4lC97hrXcxSMk7e8PA8/POvo9BhTAIaPI23uy6/V1MbDnb/lsKP3jPY2DMYNxkcX1XraHJt7Es0e8h8me8/vBY40euyOrDXM/mUyq1+upXC7bawlHefbZbKbRaLQVKWC06DLBXHo8y2PLt8H5r5N7yZNYKb8BwT5YaBaAH9x8LAGZFywBLUw8TwUt7+vkwDe8xsVa8lq/Gfg8vLU3AYD9d3GxgQdp4WuxiNJNQzEaos9mM11eXtolAfv7+5bt8bE8loWwhgUE5CVbg+LxgLqP/fFidg3feBZJFoahPMncoJx89sV7v2BuvV5PV1dXhlOwgek9BVbD+vNZpVLJnp973mh/Q8jFPDEfrOMu2TcydhgZ/yxk3Shbur2XAbkrlYoODg6MJNhut9XtdrcSPCg2sq+Mk77tPCuKJwgCC+09HsmB9WH1LoJi56z5+UExksll7jnHwA3z+dw4XMw9Hg9C9ML8+EjEEyQ7nc4Wn40Qnvn3ni/P/7Vju2vgVFaz0P5PXzmM9eDw8V4YnGhnNhnpWF8I6/EIv+jEx0wa3+szbt4V9njArq4wG5iQEHwBJcdB5dk8bkamENyh2+3qJz/5iTKZjH74wx/aQjA+woPT01MdHh6qXq9b/5rNZqN2u63Ly0tjJEsypUTY47G4NwnfeB/KCctH4TBArSfEMj8YIBIN2WxWf/EXf6HhcGjKlb7jnhXcbrf16tUru5iRecbtp+UJZToov9tgLM++yxgJ6anLXK1WW61ZfSKDsJUQpVar6cGDB6rVanaoP/nkE3388ceGb+7v7+sHP/iBdStl7FzFhZLhe+jUOJlMVKvVtqIPvtcnDnYRnAGUnjfIKF/AfhSLJJuX+XyuUqmkg4MDO2+dTkfn5+c2LzDbUXZ49HTwJHGDx4i3hGMh3UQS7AcP33yd3Hvvm88u4NZ7npJPO6KUCNtQIt6icDURrqZP9xLjMslgO4lEwli6YDE+C+UPgr/TbFelxOcRnvJchDiwzH32LQxDYw9Dl1iv10Yk63Q6Oj09tUp1n10Kw1AHBweWCZNkgGomk7Guj+Px2JrWeSwPD4rNsmuWET6WD7NgWlNDhXWTbmru2NQ05ttsNoZ7vXjxwhITPuu2WCzU7XYtvQ7nCwWaTqdVq9XU6XRMObHGGBu8JLCQXQQDslwureQE5cI+Y49AksXbPTw81PHxsarVqhF6E4mEDg8P9ZOf/ESvXr3SYrHQF198odlspu9///tbtWR4LQDkzEcqlbIGiev1dbEx4/QhKnjmLsJ8xONx6whAaO3DTNbPA/hhGFp3T7oKFAoFjcdjffbZZ9aBNJ/P64c//KH29vbMGUEp+UsJCIkB9eGHAUf4sO12iPlVci9PyWeO+JOJppqYycGV91wUNtpms9HV1ZVOT0+VTCaNpEjNEcWvNHin8RkFsaVSaetKI9KsbAKUIDgLpK9dxHtoMMrBWfyhYLNB5GRBERTp8fGxVquVLi4u7ED6A4EVkm74SChwXHxuTF2tVgY++jCN8eHx7CK38ZlUKmXkVLwjX+JCWEtnTSw8m//o6Eij0Ujn5+f65JNPbF/wXRcXF1qtVnrw4IG1g8EbkmTe02QyUbfbVbvdtgJaD5Sj5HYRCLbgGg8ePDBlDv3CK14allGk63tK4YHH43G99957VuwqSZeXl9aOxPPobtNEYrGYhUh0igzD0HoSkd0ejUZqtVo732bieXOnp6fWzx1uEWfAZ/fW67V1haxWqyqVSspmswbRUFnQ6/W0Xq+tz9Nv/uZvmkeH14/jgJOAYSZJQJNGnxjw2flf21MCQ/Iutc+Y4DFxqHFHWThCEzZqoVDQL37xC/V6PbVaLcViMT19+tRavPJdND+nz7HHqXgWmqz77BybAy/qTeT26ykc9WAydVGEW9LNLcLSDfD43nvvGWbSaDS2auCkG0Uk3YQynlLBxpFkRDzfvuR2wmE4HO48Tm+9Pb3Ck+8YcyKRsLYtGAHWWJKq1aqePHmiWCymFy9e6K//+q91eHhoYX6j0bBD6dtdAJ5y4Cm65gJMTyxEeXs84i7x+BEWm8JZsot7e3t2QPf397fulCP08pnXMAz16NEjzedzffHFF4aPvnz50nhyvJdkDBgO/09fJgyT9wLBbFifXYT1ms1urqoHM2L+USJks8vlsiqVihkYz5tiPh48eGBeehBct5U+OztTrVazs8f3+qiBtjBecdOmxrO5+a67HIadsm+ei+KLYwEUUSY8NMxOtCeHjdYnrVZL8Xhc4/FYn3/+uRGxiP9Xq+vWuvSMZvEIA7vdrpbLpW1YFBZlDEzUrkD3YrGwYlgsNEAvHKxKpWLeDErZh7aet5TJZPTo0SMlEgnrOUVNEPiLdJP18+xqSaagAdA5vNK1AoHbg+e0a7fCyWRilAXCHDYonx2Px628yHe/BNTHQOAV0k9nMpno4uJCrVbLQFg2uU8a3CbYoqw9hkia2xsKn+q/S/AMKIplPLPZzFrFkEk7ODiwZAlgMc/CunPwMpmMcWuurq7UaDSMY8Z+x6P2GUwysIRNtLEBlsCbkKTj4+Od8UGf/aSzK5nN5XJpa4vSK5fLxrXyXr90g1nG43GdnJzYFWeEuefn55rNZuaBsfc96RndUKlU7C5B30ED43N5eXnv2bxTKZEZQuNCmfccIjQmmp+NikJCE/P7k5MTBUGgXq9nt+C+fv3a4n42Qrfb1dXVlWl4DqOPz2ezmbm73pKShtwVNByPxxaKMoF+0cjW4PKPRiNTCp4zxcH1Xk02m1Wr1TKgno4LnpzJAfSAOB6JJ6ZK22l3xn1XFz8vhG5saA6FLyEANwrDcMuoYHw89wxvan9/35TKxcWFzcHBwYFhbHw/c4wy4jk4tBxsvDVPOdgFOwM2wCPhIBKuwKYvFouaz+fq9XpGkQAbY47g3uENcfsICh3jinfCHmadmB8fLpIcYS5Rts1mU9Vq9c5UuRdCS/Y5yhT8j8JjWPwUguM1okR4FvYzBlWSms2mms2mRSEwyBmHLy1ibamNQ/Hi0UFenc/npty+Tu4tyGVSPa4A1kQ4hxYErceDAZD17NxCoaCDgwML/SSp0WhYFovXX11daT6f2+2rLDTPsV6vrV1tMpk09xDL9ybpVbAMJpvnX6/XNoFca0wGhrH75lhYIen6gHNLRyqVskLR22UsKAWfrWCj+YwTngmbicPS6/V2Vkp04kSxEFYCdGNwPCjJIUaRIP4zPMZ2dHRkXgftUVHWPmHiw2w8IK8gfVkCB3CXK63x0Hzb3SC47pZIyj+RSFhXS7JDYDu0C2ZeyIwR9qJsaTdDyMaa306Zk2n2ay/dlDaBCV5cXEiSKbX7BC+dH+acEq3N5ro1Dt53s9ncqisEt/NZO5JOnAWMZ6fTsT0n3cAHt4Fr9i3zxf9hRDebm0tLf21KALF9IpGwsMO71HhOKCUW1IOlPKTHUHA3sZTdblcvX760CQQn8gceEB3NDLqPN8GCwhHxE3OfgNsQVgHkYnX4Dm6E4M4r+jHTLMtn6Fg85o+58xk8hNATrOc25YJx+IwjngpdNneRy8tLffjhh1utaDisrLf3EHDfb29GT+xkjWntW6vVtrItPnSBEoHQj5t54aDA/vbhLcTG+8Szvz1Og3eLV3B6eqrBYGDKCQzlyZMn2tvb22r5i1FiDtjDdL/w3h3Py/dwCasnk/I5PN94PN66WGMXIZNKwoMMGM+CAg/DUI1Gw7LaZBrpjokHw/OWSiXF43Hz2Dj7KGh/RlBm0Ej4P/YG+4OoAwD9b5R98+l6b8XCMLRDiMuGF0WoxwN7nonHerw3RT/mVqslSTbBviOi5yWxwVEchG2UTMCX2ZUSEASBGo2GxfRgPMTnbCjYwp1OZ+t+MTCp4+NjSdrCnrCIPrwNw9Dq3cbjsRqNhoGh9XrdsA4sKcAphxsFv1gsdHl5+UbKl/5NPjvkaRaME54ZpEDP9+HyBjYy4D/jBVsk7U4WkbKL2ey6yRz3j+FNef4K+wivaldPye8X38YXq05yhIwfr+Gev8vLS9Xrde3t7en4+NjY4YQoHFYMgfc22CuffvqpVquVSqWStZsF32LvYlDZU/v7+2aod5HV6qa9MkLE4KsaWHO6FlBT+fDhQ8N9mbNYLGaKHyOBt8d7GTuKDAfBZ9l81YPHW8/OziTpb+YpeRyDPzmsPAgbGyvoKfMoLe+GSzceDTE4KW3cS0nGTfJuoufpMClMEtZ2tVoZb2NXCYJArVbLPDhP6PTsbk9W5MqnWCyms7MzNRqNrc56x8fHhs+MRiPF43HrhbxcLvXixQvzUjabjQ4ODn5l43osBkXhWdmvX7/WYDDYmfqwWq3sxmIKN1kTn6XxtWp4jYlEQmdnZ7q8vFSpVNL3vvc9C4Mk2bVQhFpYb1LdeJyXl5fK5/N6+vSpYYVgNiglsqlkeZbLpV0meZ/48I+slt/H3pOmpQhM9ul0qtevX6vVamk+n+vg4ECNRkNBEGh/f1/x+HV1fBAE6nQ6Vo8JLQAQd7lc6sGDB1YbyL4Fm5SuW6zEYjHzwDxksOta+tejXDCoKPNOp6OrqyujIwyHQ/V6PT1//lzHx8fa29tTPp+3zwN4Z0/hyeL9Yhjn87ndq9doNCyJRUaX6gfOM4p7FyD/XvIkm4UPp0xEuolrce2wbmhKatRQSvyOAaPcFouF9vf3jXYANkOc6w8oC8zn4g6iqckI7uo9SDeN4j777DN9+OGHljHwwDV4jt+g4AofffSRPv30U7XbbV1dXRlBjvQrzGlYyxRw9vt9I+xxoykA92w2s4sK2AR+XN1uV59//vlOZDQ/zvPzc1O8cMrgjUnaCk3g/KTTaZ2cnOjRo0f6y7/8S11dXVlv5yAI7PqhQqFgNIjDw0OVSiV1Oh0rPeFWkYcPH+rw8NCAWDJWbFy8CDDHfr+vs7OzrZD3vrXEk+bwAHh7YJombGF4fSsH1yJ9+umnOj8/V7PZ1Keffmq9qLlUE6qIJL333nvKZDI6OzvTT3/6U1UqFb3//vtGh/G9svzela4VAD3l35TCwuHGeBKZeIjDc4Ok6z7k1WpVxWJRrVZLP/vZz/T06VM9efJEr169MiwOh2C9Xtt+htoD2XY8HuvnP/+5Dg8PVavVbL3wonEUyAiORqMtrtpdTsO9nhK4CtaajYKbGIahgb8oFc/4JoTiIZg8XgNoTewJ8xvEHxeV90nbDeL8c9JGgZh41/CN8OGLL76wiww9OA92QPaMDJof42//9m9rsVjo4uJCz58/19XVlc7Pz81bXK1W6vV6lp7e29uzLKW0TT71ZEtvEVHo0+lUH3/8sbrdrpELd5FkMqlut6tWq2XeKiB3GIbWVsQ3JPMUAq6FAv+DmoECxvMZj8d2wyoNwAaDgY2ZUJ+DDRiNMYI+kUhc9+s5Pz/X1dXVTmPEy8UQALQSZnc6HSOvZrNZ83xgpOOxEhoHQaCzszOdnp5qvb6+Oj6fz2s4HFpZhXSN11WrVbv1A3wHw4si8zgbnhvr6/f0fcK5YL8wPkI4v2e5z0265g4WCgV1Oh397Gc/02Kx0KtXr/Tpp5/qvffes9fW63XFYjGdnp4qCAIdHBwomUzq+fPnBhk8ffpUDx8+NK9IknlZGFcMz2g0skjhPh7hvZgS3hKHhoPDpBObMwHc+CldX0NNkysfevnMhL+QgBAP9x3lhLXmLiuYpGTGfPjHd3tQcReBB+XDT5Sh77SIdwCPyWeajo6O9OjRI/3Wb/2Wut2uPvnkE11cXJiXQ0qVrFw8HjdcAW+HDSbdFPz68o0wDNVqtXR2dmahyK4bGXD1+fPnZhU5IBwWwk/wRBShJ61++OGH5t2Ay5ydnanValkmiUPTarUsYwpgSqYUKIB1giXsOUPD4VDPnz/fKsa+SwhHyVyyVwn9UPZEAJLMc4fUmE6n7ebZDz74QJ988onOz891eXm5xZ+TrjlL4ImAuSgFvg/lj5IMgsDCaOYJw7Jr+MaZIsylHQ1rNRqNzCBgRKXrM1mr1fTs2TN99NFHOj8/1y9/+UtdXV3ZWnLF1v7+vtrttoLguph4Op3aRZ602OHaLHTFbU5bKpVSs9m0efZQ0NfJvZ4SX8Dh8JwMJp64mQ28XC71y1/+Uul0Wnt7ezo5OVGpVLKYW5JZKUn22VhJMiJYdSzbs2fPjCWKENr4MgLc/12VEqS2Dz74wBQdSpeGa0wqSoBnxkujEBM+S6FQMEuSSqVsXLjXXBpA5hLvz1sQH6b69H273TYLuWvohiQSCTUaDU2nU5VKJVWrVTswsIOpiKcWDuUxHo+NoX14eKgHDx4YC3s4HJpBoqQiHo/b/WlQOFAW4FQcSrKaKF68pJcvXxplZJfwzYdueHpglRgVvHySGmQU4ZJhFACCP/zwQx0fH6vRaFhmjb3P+/CiptOpqtWqKQEMNwpWug69PQ8OD0ravSDXd/TEK+Eao81mo06nY2vlSbvgnkAMjx8/1u/8zu/o448/1scff6zLy0s1Gg29ePHCHIVyuWzZvnQ6rQ8//HDrjHh94KkOGHK8fJ6V13ztHr1vgfGUPK5BeOGZ1my2arWqx48fa39/X59//rnm87llMji0hFflclmDwcBcYwDW169fazKZGDBXrVZ1cnJi4QGZOUIOqsnJuqVSqS2A8z5JJpN67733dHBwoC+++OIrNwebCI8NBep/z78pqRiNRpZejsfj5nGRnvbhradMcLCkmzIWwmYON/MP8L6rsJG++OILHR8fGzYEMbXdbm91LeDgkjVkjOAHtEGl+h0CKOtCphFj4cfIRgU7pFibti3D4VCvXr0yJbNLmAp24cMXb0hms5kdIvg8eGaE6xSGt9vtrfpNqB1cUtnpdKz/Ur/f12QyUbVaNQrAZrMx0iJeEpk/n/XyrO5dlZLnd8Et8pypQqGwxbwnukBZ4MlwZn/wgx+oUqmo1+vp9evXW2eJfc9573a7Gg6Hhk1KNxfXQkRlLfh+oiHW+y7ZyZVgc7JobD5/qSA4QSKRsFYUe3t7ev78uVn4yWSiBw8e2N3s1WrVMjzwfcLwps9OqVRSsVjUycmJ9vf3Jcn4S5Js84BnNRoNrddrY2fvelh/9KMf6cc//rEVwjLm9fr6vi+yCliY6XRquAIbBJfdg3ibzcY6D4IpsVF8PRzjZ0N6hjMeFMqJMdPDnHKFXYTPBw9rt9s2BirFwfTwwnzVPuxuTw8gPJjP5+YhMl64MZTZ+MwiISvKG2XGfJDGBufCk75PUPreaGUyGePUgXmCXwIIezY9+8YfLrA8Mm/SNRm12Wwa7IBnRQjJfOJdoZQYi58L/twV8F4ul9aXjLAJgQ6DAQfHYQ1RkuylXq9nHLlqtarZbGbY2nq9NjoA2BD9wjCohIweL6P5ne/b7Q3RXWfzzt2MBmei2GiemEaZAJRzvJNyuawPPvjAuBe9Xs9IimwOsiGx2PV10fv7+0aak6SjoyOl02mVSiUrdwmCwL4HhcQGQQHwebv2O/793/99PXnyZKuwFSXEZHoc6TZPA6CfA0oIwCbjoLFZcXmZK+/OMudkpXypDmvAAajX6/a6XQRFTSGqdAOwelY1tWB4R9QpsqEoL2ItCT+Hw6GR6OBxgRPxXQjWkz3EXLOW/rII2Oa7eErZbNb4VWB4KAKv+KWbAmr+j3VjD+G58zysB+GzJ71S1gHUgcFmLuidhSfuM1S8bldqhyTrZ8Te8cqbufI4MPQWQjL2JJ05giAw/JeqBj4b7h+th9Lp9FbnCr4HBYnnCNXCj9GTi79O7m1dwkRzGHjI1WqlbrdrmwYSHHEkLv/jx4+NDc1CtNttnZ6eGth4dnamRCKhZrNpdWJPnjyxsFHaPlBYV48VEKejjPymv0+ePXumXC5nnCE2JMoTMJqMHt/r6Q1Yd+kGY7tNZfDgOV4lv2fzwOJmHnGbmWdY5JKswPTy8nKncXrmOyluyHtYOEotPDEVI0TGDGVBtrXX620ddrxJqsVRwGRmwM4IDQeDgVlrvFMfChJa7lKCgVfg2yfjHcCLKxaLGgwGtrfJRBJ+eN4bB5oz4LNoHkclbCF1TlYPL7Hb7erp06fG1UIpcMb4966ZVHDMMAzNG2G/kPWMxWJbF1CwDz1/yGfUCXWla0OBF0hfdrwuFNdqtdq6Eoo9y3d7DFrabjv9a2ff+ABfmIhLzGRyaPwisbh4LBAN6/W6adwvvvhCV1dXW6FOo9EwTkwsFjMmMIfVp44JITyxjg3yJhiLdEPmXK+vr+eh6t5jaWEYGjDvr8zxRDUAVN/wC8Y7zFe+CwvtywR87yBPDeC7PBYTj8fV7/d1fHysp0+f7jROiIrlclk/+tGPtkqACHl8lg9F40FY5hzLh5L16WwSD2xSr4D5oSYMC45C5LNvZ8kIL+4TD6STXPCkVMI6PHRvWHh2jC/PhqUnSuD9fu/TTI7npbj8r/7qr4zzNZ/P9ezZM43HY2NO+5D2TbhKZGnX6+sOHuVy2YpmpZtLTQml1usbNrrHP1lT9sbtaMRXYngvjLVhX/EdPink95H3qnxVwlfJnUoJLQ+Zik2DtfaMa0lb7Q18IR71a2RiOICQ6bjfbTgcWqiA5+PjewaGYksmkxoMBnr16pXdPbVryOaFDRqGofb39826YEWwEr1ez3o3r1YrO1jFYtEOJ0AjCofX3fbg8BTIiIAhQTRDkXmSnCRjYUP66/V6+uijj3Yea6VS0Y9//GP93u/9nl6+fKnPPvvM1o7wFa/QUxFQJGR6sIj+APvMCgoJ7xbSIQoK5dDv922voOjY/MyPdHOP2X3CgfKHkmZl0k2lAMaVPTwcDi2DhPInFPHkRMi0UCpg6ONZk7Fcr9e6uLjQ+fm5ZWDH47Hq9boePXpk2CUKXdr9mnnGgbNAqMpzg6mCE+LZMTfSjVeDYfEgNGOUbrKZPsRHmRMuYqiq1arBKj5EQymxth5b+so1fFMmaSSRRBLJNylvFudEEkkkkXzD8o0rpSAI0kEQ/MsgCF4GQTAMguAvgiD4J+73/yIIgp9/+buPgyD459/0M0USSSRvr+xeh/E3+47Xkv6RpFeS/kDS/x4EwQ8lLSX9K0n/vqT/98vf/R9BEHwvDMPdip0iiSSSv1PynWBKQRD8paT/WtKppP8zDMMD97umpD8Mw/An3/qDRRJJJN+5fOuYUhAEh5I+lPTXkn4q6edBEPxhEATxL0O3uaS//LafK5JIInk75NsI30yCIEhK+teS/ucwDH/x5f/9L5L+N0kZSQtJ/2EYhuOv/5RIIonk77J8a55SEAQxSf+rrhXPn3z5f/9Y0n8j6fckpXSNO/1PQRD86Nt6rkgiieTtkm9FKQXX7LB/KelQ0n8QhiFt534k6d+EYfjTMAw3YRj+uaR/K+kffxvPFUkkkbx98m15Sv+DpI8k/bMwDKfu//9c0j/EMwqC4B9I+oeKMKVIIvl7K9949i0IgieSXugawPYNjv6zMAz/dRAEfyLpv9C1F9WU9N+FYfjffqMPFUkkkby1EpWZRBJJJG+VRGUmkUQSyVslkVKKJJJI3iqJlFIkkUTyVkmklCKJJJK3SiKlFEkkkbxVcmeZye/+7u+GtJ19+vSpfvzjH+u9995TrVb7lcbi3GPW6XTU7/etETw9nOfzuYrFonWsoyMhXQZpk0mHPH+FEP+m1zDtcC8vL/XixQu9fv3aLrzLZDLWmTGZTOoXv/jFm12MFkkkkXyncm+P7mKxaP13aVtK21b6FdNcnSt3aO3KVUL0+6UNLi0x/Q2b9K6mheztmw/odU1v4Ewmo1KpZMqHa37oqU2T/UgiieTdkjuVEn2vudyPfsx4Mb5x/lfdiild31rArbZcLUR/Xi6lzOfzdjEgfZr5oTcyN2vQx5jG7bwfBUQ/Za7oiSSSSN4tuVMpcQ1NIpGwW2G/6kYC/o/G6Xg6NPr3V/vS1J33cpsHVydxCwhXVvubUvyVN3hruVxOe3t7Go/HWxcMohwjiSSSd0vuVEoohnQ6vXXd0GAwsCuZJW1dGYSy4MaIxWJhtzXweo8V+TvBbt/eQfjm7wDjPfzk83mVSiXVajW7Dlu6uXstkkgiebfkTqXEHeLcFzUejw1U5m43rmsulUp255S/T0zSlgLi9lduUuXOtNlstnXVDNfBcOMo1z+PRqOtywHX67VSqZQqlYouLi7sM/3d5ZFEEsm7I3cqJfAaSZbx4v4sQqVer2f3ynPnWyqVUi6XUyaTsauACdvwXrj2mhs5ufjPX+jITbTcST8ajezuKW6y5fWEgNLNVdS/zh1wkUQSyXcr9yolrimWtKVESNHHYjF1u12NRiP1ej1TCHhPlUpF5XLZLv0DIyKjh3fFrarj8djuIh+Px3ZdOJcD+quDUUjcFMrtpLzuTe5mjySSSN4OuVcpkXXLZDJ2Zzk3nnI7ZrlcNpxpOBzaNczcdU74tVqt7P56MCJCMW5cHQ6H6vf7dgsuIVosFrMbdkulkhKJhGazmSaTiWXcoBZwg2/UASGSSN49uVMp1et1JRIJIyOijOAG+dQ/KX+usgYf4mrnyWSixWKhRCKhYrFoVwuTvu/3++r3+xoMBoYjcYd5KpVSNpvV3t6eqtWqeV14THhPKCN/jXQkkUTybsmdSunRo0cWaqF01uu12u22YUqbzUbNZlONRsPuokeBwGWSZEqpUqno5OREhUJBs9lM0+lUp6en6nQ6ajabW4pOugHN2+22Go2GZduOj4+VzWaVTCZNwZXLZQsHI5A7kkjeTblTKe3v7xvWw5+tVkuj0UipVErJZFJ7e3tqt9saDAaiJCWZTG5l18Cier2exuOxisWinj17pul0qk6no0ajocFgoPF4bFwm6dr7yuVyCoJAr1+/VqPRUDqdVjqd1mAwULFYVK1WU61WswxcpVLR6empMdAjiSSSd0vuxZQymYwB0O12W2EYqlAo6PDwUJlMRoVCQcvlUldXV1osFspms3r69KkODw/Vbrc1m81UqVTMU0omk8pms6rX65KkdDqtTz75RPF43Lwr6Tq7lsvl7HWNRkPL5VKj0UjHx8cql8saj8dqNpsql8vKZrMqFos6PDzU559/btSBSCKJ5N2SO5VSJpMxUBoqQK1W02q1Ui6XU7lcthq4zWajs7Mz5XI5nZycbJWdgEUlk0k9evRI2WzWwsFCoaC9vT3V63UrW4FJns/n7X0oufV6rSdPnmh/f1+lUskAdAp8j46OVCqVNB5HV8dFEsm7KHcqJbwaSSoWi+bJTKdTtVotjcdjVatVHR4eqlAo6P3337eMF6HYarVSEARKp9M6PDzU8fGx8vm8eUSpVEoHBweq1+vG3s5kMvY+UvvPnj0zvlOlUrFMG6B7PB5XIpHQwcGBqtWqut2uZrPZNzx9kUQSyd+23KmUICDSXgSvaTqdKggCNRoNXVxcKJPJWNuR5XJpmbdsNqt4PK58Pq9qtapSqWTKJJPJGIBeLpdVq9U0n88tYwb/iBYoQRDo6OjISlni8bh5Uev12ry6IAi0v7+vs7OzKPsWSSTvoNx7bTclIrlcTtls1kiPhUJBq9VKk8nEil9pK0LWLZlMKp/PW3sSlBUA9mw22yquzWazSqVSGo/Hmkwm9ie1cZAvY7GYtS+BIBmGoWKxmGX4CAUjiSSSd0vuVErz+dy8HcKjbDZrLUGgCGw2G+Mj4Z1kMhnjFAVBYL9LJBJaLpf2ebzX17CVSiVNJhMrK/Hpfbwh/yf9mjyw7bsYRBJJJO+O3KmURqOR4TgUzBLS4f1IMqAZRZBOp1Wv11Uul40cCVEyCALNZjONx2NrQwJ1YDabaTabWXEvCgxlRm0doR0KEK8I3hTviWrfIonk3ZM7lRJlHJIM4PaV/L4RG1m2bDZrHlIYhppOp1a7xvskWXdKyk34/F6vZx5ZsVjUcrm0MI/OAfCe6NPEZ4JpjUYjhWGoXC73jU1cJJFE8s3Ivf2UfAYLWoAXQiTf5iSRSJgng8LabDbWlymTyVjbW/AkatYmk4kGg4F1HqC8ZT6fW/kJGBYtSjzIPpvN1Ov1lEwmVSqV/panK5JIIvmm5V6gm/BrsVgYWL1er42fRDjn+2yDHwGEE/rRCgWcio4CkDDb7bZWq5VxjAC0UVpe+fie3f4ZUWjHx8fWMC6SSCJ5d+RenhJV/PF4XJPJxLwlFAVpeY/roJDm87mGw6Hm87kRLTOZjCk3eiL5DgTD4dDaouBl8fkecOemlNVqpcViYQ3nJOn73/++5vO5Xr58+c3PYCSRRPK3KncqJTJcKBtJ1jfbh03QBqSbrBe9tufz+dYtJuBCgNUwv+nVvVgsNB6PrebNX0YADrVerzWdTjWdTn/lgoF8Pq9KpaIvvvgiwpQiieQdlHuVknSjaEj/06ub8AsviSwc76HZWrFYNA8Lz2swGBgITrcASVv4kc/Y+cZw4/FYg8HAiJq+CV0ikdBkMlEmk9FHH330jU1cJJFE8s3IvYzu214Q3g0gNUqIUhKY31wgSXgHe1vSlmJbrVYajUYaDodaLBZ2GwpdCXyHSTwvn9HDY/PPSuYuogREEsm7J3cqJTwfQiw8EUI46abJv6QtpRMEgYrFot2ai/dC5wGPCdF/m+/zWBbe1nw+13w+13g8NgXmb0ABZ6J4GPZ3JJFE8m7JvYxuX9eGMiLbls1mTcnQr5tatGQyqWQyqfF4rKurK52fn1sGji4B3gOSZJ4VGJSkrVQ/OJK/043QEq6S78sdlZlEEsm7J3cqpel0asrGC90DfGsRX2tGliwWi2lvb0+bzUanp6caDocql8uqVCrmgYVhqG63q8VioVqtpsPDQxWLRSNJEiqSZQNjAgSXbjw6vCTq7yKJJJJ3T+4N36jIR0kQGnH4pe3LKCVZMS61adVq1f6+WCzU6/VMKX0dL8mD54ivdUOh8See3HQ6tVa7UefJSCJ59+ROpUQpiXRTXwZ+gyeC14Li4t+UgKxWK9XrdT169EiNRuNXPjeTySifzyuVSun4+FjFYtFAa17LDwpJkrHEebb1eq35fK5ms6nhcKjVaqV+v/8NTFkkkUTyTcqdSomDDr4DqRGvCY6S5xoR6pEZ22w2KpfLev/9940c6av+aYlCwzZ/JTcC9uRBdUBtvKvVaqXhcKiLiwv7XroZRBJJJO+O3KuUSOUDYnu+ETyheDyu+XxurUzAf6SbZm2VSkUPHz5Us9nc6sGER0X1v3SNWVHgSxaOG3V98a104yWt12sNBgPNZjPzpqLWJZFE8u7JveRJWNQ+w4YS2Ww2VtcmyX7vuU3L5dKwqL29PaVSKXU6HXW7XWNkewIk3heeUSqV2vKUPEBOOBeGoV1kieCpRRJJJO+W3FuQS/8jatS8wkHgG/kSE3Ahukxms1nrLIknA2ANcA73iL5I0+nUOgr4Bm638aXJZKLz83MDzFFwESUgkkjePbmX0Y1MJhNls9ktFjcCf2g0Gmk0Gm2FfPRGkq6bxtEVgIZto9FI0+nULhPwOBBYFdwjlBifK11fUHB5eWkXWfK625daRhJJJO+G7KSUYrGYRqORMbKTyeQWvrPZbOxeOO5687hSLBYzBcFllaVSyYp2Jdklkz5zB+XAX06JUgyCQNPpVI1GQ1dXV79SdxdJJJG8m3Jv+OZlNBrZ1dgA3eBKKKJcLmeN+8fjsTGwfVHtcrlUo9EwvCoMQ+vHRHM3msFJMoY3Ck26DtFarZYuLi5MsdFjKQrbIonk3ZU7lRIeBxm2xWJhfbthUJMZk6RqtWoeD1wmFJZ04/H0ej11u12Nx2MjR3LNdxiGVkwLcRMvy3eanEwmOjs722rR60HwSDFFEsm7KTsB3f5PlEwqlTJGNk3gYHGTvvfvo34NkmWpVDLvCRyJBnDZbNbAba9gPHv74uLCMCoEpXS7QDiSSCJ5d+ReT8ljR1z4OJlMtpQBVAB/U8l6vdZwODSyJQqLPtt4XrPZTMlkUul0eksZoVD4XEK3MAzVbrfVarXsdR6z4rk9kTOSSCJ5d2QnTMlfrQS2M51OLb2P0vD1aPCT/GWSkrYulkTp+W6UlKbQMhfQG89rNpvp7OxMk8nkV1ql+Ofl/yOJJJJ3S3ZWSvF43LAkmrZJsv9DOVGKAgA+Ho+t7Qh8JgiTpPthc9MWBbAaL4tn4Mqm0Whkz+YJlpFEEsm7LzspJS6YJAxDAYARAWzDHSKcmk6nVnw7HA7V6/WsYyT9sz1o7pUUlADvTeGRkbXjuxaLhTV58xJ5SpFE8u7JvV0CCIV8q1uwnNlsttUxgDQ+7GzCq2QyqWq1qnq9rvF4rH6/b8oHb4iLAfC2PK5EVs7/HU/rdm+lSCKJ5N2WnYDubDZrxbhgQVyBxA26ZM7oOolCwTOCKsDnQqz0CiUejxuYziUFPiyDYuAbvd0lEdAdSSTvntyrlBKJhB4+fKjxeGyeDWA2NWpck02KH2VG+p5m/2TnfOM2wjsUDQRIinIlbeFKFPHeBspvP3fEU4okkndT7sWUKpWKjo+P9fLlSwuXaHULwLxYLDQcDs0Doo0JnspisdBkMtmqSSM883fKJRIJA8MRXuOzdCgkf1uvpwHgeUWKKZJI3j0JojqxSCKJ5G2SCHSJJJJI3iqJlFIkkUTyVkmklCKJJJK3SiKlFEkkkbxVEimlSCKJ5K2SSClFEkkkb5X8/1qUEJBZ0BFDAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 6\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 7\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 9\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 10\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 11\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 12\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 13\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 14\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 15\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 16\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 17\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 18\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 19\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 20\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 21\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 22\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 23\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 24\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 25\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 26\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 27\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 28\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 29\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 30\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 31\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 32\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 33\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 34\n" + ] + }, + { + "data": { + "image/png": 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Tx3gXCgUDE+12W8Fg8FcP35rNplnKRqOhSqVioYbH41E8HjfLnkwm1W63FYlEDM52u13V63XzvFhjvKqLPI6Pj7W/v69araZarWbwWjoxYsvLy0awsngcjHK5rHK5rMFgoFwup3Q6rV6vZ6jgrNFut8cOhcvhpFIpC+eI49vttg4PD41sB/G4yAESGVSEtwFpVioVu3hofLiAyWRyjD8DPbZaLcXjcaXTafPqLnF81rh79656vZ5WV1fV7/cVj8d18eJFLS0tKRQKmVMoFApqt9tmMEqlkmq1mpG+xWJRP/3pT3X9+nUtLi4qn88rk8koGAzaGalUKqrX69re3laj0dDs7KwymYzm5uY0Pz9v3jMSiVhIFAgELLzc2dnR/v6+7UW5XJ5oP3GIIJ7d3V3jy0DsfA9n6NGjR6pWq2N0gJvGb7VaCofDhnBAQp1OR/v7+yoUCkZJRCIRpVIp5fN5u+wQ3qDH4+NjHR4eGpEei8W0uLj4uZm8LxouzzYajQz1wgPOz89bOObxeJTL5czItFotux8YbBd5cVb5xTk/Ojqyu4YjxRHD4/Fs4XDYUH+lUrFohp87LZN6qlHiYuJ58GjhcFizs7OKx+N2QZeXl7WxsWH8S6vVUrFYVDwe1+rqqiQZksFoQRb3+30dHR3p3r17xsz7/X7lcjktLi5qZmbGUvbdbnfsgNTrdRUKBYPVxWJRm5ubGo1GWlxcnGiDOSSStLOzYx4vGo0qFAqp1WqZJyyVSup2u1pbW1O1Wh3LGoVCIZXLZaVSKc3NzSmbzVo4yUEoFos6ODjQ1taW0um0hWHZbNbQw+Lionm2QCBgl3lra8sOBuvD5ZhkvPPOO4pEIvr6179uYaGLajigh4eHqlarRk4TBnDgLl68aGHj22+/rTfeeMOcEAd9bW1NP//5z1UoFHT+/HlVKhXzoiAqiG0OtyTjA0ejkZ2N4XBoIsqzRrfb1ebmphqNhu7evatUKqXLly8rm81qbm5O/X5f+/v7ZoQ8Ho/y+byR0G6ms1Ao6Otf/7pu3Lihubk5czAg/e3tbdVqNSWTSeN3CLmTyaRSqZSi0aja7bZmZmYUi8UUCARUrVa1sbFh3EupVNLDhw+Vz+cnRr04uE6no0ajocPDQ0MhmUxGPp/PHDyZvs3NTUmyjCvPe+fOHaNE4O9ceqVUKqlYLKpcLkt6yttFo1Hj3lKp1C+dlUAgoHa7rVKpZMg+mUyOia4/b5xqlA4ODsxDclmJfbvdrtbX1w264s3W1taMd2i328YL1Ot1ffOb39R3v/tdLS8vm7oTePnhhx+qXq8rGo3q8PDQLhv//fDhQ+NxEomEcrmcwXoQFCiHQ4UK+KwxNzenu3fvqlQqKRaL2UFOpVIWP5MxWl9f12g0sv/H27mSiHg8rrfffltXrlwxY8lhe/Dggf7lX/5Fly9fViAQUK1WM5IVMhWkODMzo1QqpUQiYZk8LhPG+OjoSHNzcxPN88aNG6bh6nQ6FnIfHx9LksHz27dv25+RqCAjGYlEFI/HdfXqVT169Ehra2s6f/68Pv30U/s36XRah4eHWltb08rKio6OjsypEd7MzMxoYWHBwtRwOGwcHVkcQj04xUkIfb/frw8//FC5XE7f+MY3lMlkTC9Wr9fV6XSMW3r48KGFZO12W4FAYEyBPzs7q0KhoFdeeUWzs7NaXV1VuVxWJBLR3Nycdnd3NRwOde3aNR0cHKjVaikSiWgwGOjw8ND4m8FgYGc2FouZ5AF0lUgk5PV6dXh4qEQiMdFejkYjPXnyZCxrnUwmzdFVKhXj8R48eCCv16tqtToWFaDR2t/f16uvvqpr165pfn7enBwc4ZMnT3R0dGShn8vDEalAsMfjcaVSKcXjcUWjUdXrdWWzWdVqNTuzxWLx1HmeusvZbFYffPCBDg4OtLi4qPPnzyuXyymRSKhYLEqSqtWqdnd39eDBA83MzKhWqykej9uhCgQCisViunjxoo6Pjy31+vDhQxWLRWWzWfl8Ph0fHyudTpu1j0Qi6vV6mpubU7lc1ieffKJaraZwOKzFxUVDJ8Fg0Cy1dOJB0um09vb2Jk6vsqBzc3OGcPCEq6urRh5+//vf1w9+8AP73sXFRROBIUsAFbRaLc3NzenevXsWU+NtA4GAFhcXtbGxYVmJcrlsKKrb7crn8ykWi+mFF14wUtjn8ymZTFqYWalULEs1yXjllVdMg0Q4irE5Pj425wKvRQjJAcJgXLhwQVeuXLFEAKE5hgdECUEdj8c1GAyMOMcQPnnyxIw1fAMIDDlKKBSyz59EWJjP5zU3N6dwOGx8CU51a2tL9Xpdh4eH+s53vqN//ud/1sbGhmKxmBYWFjQ3N2c8Xjgc1vz8vPb29rS+vq6rV6/aHg2HQ926dUuFQsHKaUB2nNF2u62bN2+ao81kMnrhhRcM6adSKUM0kPFk/iYZwWBQR0dHisfjWllZUSqVksfj0fHxsR49emRn7oUXXtDf/d3f2X0ExZGcCgaDevHFF9VsNrWwsKDLly/r8ePHKpfLisfjSiQSdk5zuZw2NzctcYOzun//viKRiHZ2djQ/P6+FhQV1Oh3Nzs7q6tWrlglPpVLa2dkxuuKLxqlGqdPpqNls2kbDG73//vuW9kwkElpZWdHt27e1tbWlhYUFLS0tKZvNqlQqaWZmRvPz87py5Yreffddra+vmwXtdDra3NxUv99XsViU3+/XpUuXFIlELOa+cuWKer2excSSNDs7q3A4bFkdPE00GlUymVSz2dTa2trElzUcDuv111+XJONParWaDg4OzJtdv35dnU5Hi4uLqtfrikQiOn/+vBYXF40Ajkajeu2113Tz5k2trq7qW9/6lqrVqprNpsrlsp48eaK1tTXjHq5cuaJGo6GDgwO9+uqrSiQS+vjjj7W/v69+v69wOKxkMqlisWihMM/TaDSUyWR0dHQ0MXdGhgQyOJVKGSdVLpftWVz9GITpaDQyvoRLj9dfXV2Vz+dTNptVMBjU9va2QqGQ8vm8vF6v5ufnx87UcDg0BI3QLhgMWrrezV4Oh0Nls1nLIJ01crmc5ubmlMvljP9ot9uqVqvy+/227q1WS/l8XrFYTP1+X4uLi1pcXFSj0dD58+e1ubmpN998Uzdv3lS73TZUNDMzo263q3w+byF5Pp/X4uKitre3FYlE9Hu/93tqNptjGb7Z2Vnl83mVSiVD3shncL5ujd9ZY2FhQS+88IIikYjRDY1GQ1tbWzo+PlYymdTy8rJmZ2d16dIlFQoFxWIxraysKJ/PW2IpHA7rzTff1H/8x39oe3tbmUxG29vbxpEOh0M9fPjQDGs0GlWxWFS329V3v/tdSSfRwe7urs6fP69MJqM333xThUJBq6urKpVKunz58lgY65btfN441Sj1ej1dv359TEFdrVZtUYbDoaWGb9y4YVk20BRQLpfL6eLFi3rnnXdUq9W0ublpsXe1WtVoNFIqlVK73daFCxfU7XYNEbCpmUxmTKDV6XQUDAaVz+eVzWYtG8eFisViE3sdiDdCN8jHTCZjmRO4hv/0n/6TpXkjkYiFHbFYTLOzs5qbm7N08qNHjwzSSid8zPLysgqFglZWViz04/uDwaCuX7+ubrdr5GoikdD8/LwODg5MgAfalKRKpaLt7e2J5knYRBYU+D0zM6NMJmOqbS6OK2aFfwmFQqpWq0qn08a7JZNJxeNx4xt3d3e1vb0tv9+vWq1m+0x6newVjoQUNQYKLRoaKf7NJDKPer2uXq+nRCKhZDJpiQJQOFKMVqull156ydLUhDSBQEDNZlMrKysWZoEsCUtKpZI++eQTpdNplctlzc3NqV6v69y5cxYmeTwevfjii3aPSLuHQiFVKhWTBvB7r9czTd4kg/MCpzMcDsfkKYTFtVpNr732mq5cuSKPx6NIJGLrnU6nTQibSqVUq9W0trZmKBGjm0wmFQ6HdeXKFfX7fS0sLJijCofDeuWVV3ThwgXTd8XjcftFuOjxeIxj297ePlX6cKZOiQ8DqRCjo0+CkL127ZqJ7siqcYG8Xq+Ojo6sPCMSiRiBHIlE9N5771lqtt/va3d31+As2al+vz+WcncJRb/fb4pi+BnCv0kGCIzP59+TKXQzfKwDpH+1WrUUpyuNgDCcn5+3VOwnn3xiBB8/i9E6ODiwjSJ88Pv9xsGQdeOycmAikcjE3pXvxgiS9UKXRSoco4ohikajltWCIC+Xy7p586a+//3vW8hFndeFCxeMBG40Gnr55Zcte5bJZIzvI82Ofo0wFaEhfByZzEmMEnPDgHIm3OwnmiVCL9A1nhzZxGAw0Pb2tvL5vKGLer2u2dlZdTodbWxs6PDwUKPRyLo2pNNp49YQfJJhrNVqGo1GSqfTymazxj9hiNwax7MGeh8SJa5wkr2sVqsqlUqanZ21zB4GmbPu9/stcyed1N5hyCVpY2PD6hKJaKST6OLg4MBU3cwTowzHtbi4aKF9v983Z8vnfN441SiVy2XT3JD2Q4MAJ+Hz+VQqlcYk9OgxwuGw6X/IGo1GI2UyGUMf6XRaCwsLunPnju7du6dr164plUqpUqlY4R4cC4YpEAhYlgb1KcjB6/VaRmTSiuv5+fkxtTCkNelWuBUuMkphshAgFzakUChofn5e6XTaNjiRSGhubk5PnjxRoVDQxYsX5fF4dHh4aBeOi8ozsNlwZpFIxIwI9W6hUGjiGj/QCF6Og8ZlcMtYXFHsaDQyYjOVSikUCukHP/iBut2uLly4IOmp1guxXDab1dbWlp48eaLvf//7unDhgunOIEp5BgR3HGwuczAYVKfTMUQ5SfjGOmPgQUDufjLfXq83VnaCAc7lckomkzo4OND777+vP/uzP1MoFDJJBPxgJBLRp59+qs3NTWWzWXOyIHwMDrxdIpEwtAWpTuiKnOTixYsT7WU+n7fMqfS0JpWQi3mi/WLt4CCRY4RCIR0dHenu3bt6/fXXlUgkTN83OzurnZ0dFYtF7e/va2FhwbSKnCXOo1tXxzmhdpFsG5qts+7lqUYJGM3FfLYYFA+Ntab0AnUsmYX5+Xn967/+qw4PD8fCMDJmFy9e1N27d60P0o0bNyzDhwd2BxfElcxTtgLqiUajOjo6mmiDFxcXx6qsMQa1Ws20QhQ/YqAxkHjVVCqlWCym999/X8Vi0YSjrInP59PS0pIePHig/f193b9/X2+99ZYdLAwtg8tKmYWLEEFIlUpFkUhES0tLE80T1MpzgchAKRwcngfxIPwRpDcCuj/8wz80T8gg84luKZ1O6/Hjx/rmN79p4RMeGj0X64txR8zJ+qIYdotjv2hks9mxglyQFqQu5xMtTSqVssJg6u0IZ9577z1ls1ldvHhx7HnYyw8++EDValVra2u6fPmyiTvdQnZ3HV2VuLvPJAiSyeREpTSS9NJLL5noEs0fThMjhwoeOYLr1KEcotGo/vEf/1HRaHRMQoODWFxctDO7tbWlq1evjs2TM8X3s8Y4F7esxu/3Gx+bzWa/cG6nGiViR0ljFhkmH1KSsgOKSdG7kD72er0qFAr61re+ZbojoP5wOFQsFtO5c+dUKpW0s7OjCxcu6PXXX7dQ0BUIcpkQyLnFg5Ispdvr9fTo0aOJNthFWWwsXpPDyvdHIpGxuJ1yFwzWxsaGbty4oQsXLtim8JnI+mdnZ03QR3iH8XL1G/A/FJlyWNySgOFwOEYknzZASfy3e5Dd4k0MLcYXlAhavn37tpaWlvTmm28qmUyawUBBTKU+fMWjR4907do1JRIJ+yy3ghxSn3+LMXadEcrlswafy4XlEqJi58zgBAhpMKac23K5rOPjY/3RH/2RcZagysFgoIWFBWUyGb3yyisqFos6PDzUq6++aokBkC9GyY04uD8Yf7i7bDarhw8fTrSXqVTK9o/PwtC6lf6JRMKEjHCsFFNHIhE9fPhQMzMzevvtt61A2H0+9HMLCwva2trSlStXLCHgFhNLsrXlnCBS5XcAA8b/i8apRsmFnhxeyElQBCJIHgRCEmgYj8d169Yt5fN5fe1rX1MulzNJPxNBE3L+/HkdHx/r8ePHWlpaUjKZtEvBYWNyHBKUuoQYzWbTvHA6nZ5ogw8ODrS0tDSm4uUANRqNMe6FsBTrjwAxmUzqgw8+UDKZ1I0bN0xR6yJMSZal8Xg8evjwoS5cuKB4PG5lN6h/3bVx0afLSUkyYeEkw1UquxCf8IhQDeNC6IPhGAwG+vTTT9VoNLS0tKTZ2VlzMG6zMQ7rwsKCCoWCMpmMPv74Y333u9+1Obg8CBwHz0G1AIaCsGSSbGqlUlG73bbQ2S1pwNCxzji0WCxmTgGEf/fuXV2+fFkXL160EgyXKmi1Wsrlcjo6OlImk9G9e/f02muvmWzBvbAYVxcxuBkoZAiovicZOzs7OnfunO2Ra4TJbJLpxEizN5RK1Wo102FdvXpVoVDI1pls8sHBgXK5nFEWa2trWlxcNHKdMw73SggHQnIL58m2hkIh/exnP/vic3raxD/77DODrO5B5UupA3qWe4D/IUVZKpW0uLho3A0PjEfmQAANI5GIPvroI+3s7IwVQFLoS8jmSuPZFFTffr/f+I6zxk9/+tMxbwMkZtHRVUCUSk8LIjlIq6ur2t/f1/nz57WwsGCw1jVehEkrKyvGqdy7d8/mB6RG+QtqYNO5NMTkZD8m9a5wgMzRraUDebEObsjBft6/f1+VSkW5XE7nzp0zJMngs0G4lJ8kEgl5PB7duXPH0AoHlPAQ5AZKAm1ITw/zJEap3W5rf39/LPx10aFbb8l+umvR6XT06aefKhQKWfmNy8NBVUCU5/N525Mf/ehHhnr4WbeWDbJXeloOAxdJpnJSGctPf/rTscJt1or9c7kljAUGGpX2+vq6oSBkGKw7zoMKhXQ6rWg0qn6/r9u3b5vhc9ERdxHUTTSE+hvUuru7e6rm7FSjtLe3Zyw5E3czJiAeNs0lujwej3Z3d82TzM7O2iEG/cAXSDLOZn5+3jiazc1N3bx504p/uThsJgI7NtttjzBpVbl0op3Z3d21BQQdMNwSCy4rF1CStre3VSwWNT8/r3w+bxmMZy8ZHnFlZUXJZNJagVCTxvdwKNhk0I379zxnp9OZOHz78Y9/bM/AYYYXcP+btDHPXiqVdPv2bXk8Hs3Pz1vhMM+Fw2LdBoOBGdZEIqF2u618Pi+/3687d+6oUCgYCne9K3sKH4HxwvhPEr6dP39ee3t7JsJ1DRsDw+CuJ0bxs88+M5U2wl+cBueDvuOsB32mhsOhfvKTn6hcLlsGDOPohjLcHdf4U5o1abfU5eVl3blzx+4fF1562kcep4ZhZR13d3d1cHCg+fl5K9kCPUEZIE52W7oMh0PNzs7K6/Xq/v37JoTECBP6sm5k3Vyutlar2bp90TjVKP3+7/++PvzwQ+v74hockABW0tWbIE2vVCqan5833dCzRXtcajRC6FxQ/s7Nzcnj8ejBgwd699139fjxY6vBQXxJwd/29rYqlYr6/b6pWyftEvDtb39bt27dUqlUGpun2xuKS0u3Avifx48fq1qtan5+Xj6fT+l02g4H5Kj0FKXAwaXTaXW7Xc3Pz5sg9eDgwNpFSBr7TshujHIwGDQB3qQ1folEQv/2b/9mQkAOLQbKDSkolXjvvfd07949JZNJDQYDU5FjLEhDc/BYu3Q6bReOTg5kZDY2NvTpp59qbW1trFbKDUMoXIara7VaEzXtW15eViQS0aNHj9RqtewzuZjuL1eycnx8rPfee884OpoLuhkujDDKc4wKgkrav9y6dcuKfF1ymdoy0BFpc1Tm58+fnxgpvfzyy5JOEBPpe/aRXyBQzuPR0ZFWV1d1dHRk96xer9teojt0S20ymYyhLLSKaMAODw/1wQcfWB2fm8GkLQ3RwezsrCWeqAn9onEqp3T58mW1Wi3dvHnT6n+oKJaeNuMiTqeafW9vzwoD19bW7KC5sN2FuMSvMPOBQED7+/vKZDJWnlIqlbSxsaH19XVbOESXCLbgfwi17t69O9EGMy9qvpaXly2dScsR5ovkoVgsam9vzw7a3t7eWNjBBeV3Nh5FLL2NkOOXSiXdunVL2WzWMkg0swOhUV+4sLCgVqtlCuVJK8tv3Liho6MjffTRR4rFYlpeXrY2wP1+38o/0GTVarWxtPFwONTi4qJyuZw9k4tAnoXz1CmORiMdHh5qcXFRS0tLisfj2tnZ0e3bt3X79m3Nz89bQoQLhQqb0oxYLGb6n9OG3+/X0tKSms2m3n33XV28eFHLy8vmFN16S7Ri6+vrVvLk9/u1u7trl9R1pJx7r/ekBjAWi6lYLMrr9apUKimVSmllZcW6RmxtbZkCHmOEc6IPE3WNlCdNqlMKBoN6+eWXNRgM9POf/1y5XE5LS0vG/0DeN5tNVatV0xOyT7u7u8bZ0h1VeiotYC9BSoR31WpV+XxeKysrarfbOjg40OrqqlZXV5VMJu3nycAdHx9b0gN5y8HBwel7eNpfer1evfTSS+r3+1pbW9P6+rry+bzOnTsnSVbISKaCKmuf76TTYrVatZQ1HRS5nMSseH4XLQHB2XzKG1xuhwwDYYNbW0VN16SSgMHg5MUB2WxWOzs7Ojo6Ui6X08LCgvx+v1U/c1FRO0MqHh8fKxaLjbUndY0vUB1k4laMVyoVZbNZa82yt7dn6mfS4wgKIZX5nU1n3pPMM5/Pa3l5Wdvb21Y+4fV6rXKeJncoq3u9niGDdDpt3KDbcyiRSIxxGGQz+fcXL17UwcGBcWZITSD46VCJExgOT1rI5nK5sSTLJAp9wpBLly6p0WhYh81Lly4pFAppb2/PLiqC3W63q9nZWSuGDofD1uwOzREpdXgcMoacZYjeXC6nCxcu6OjoSE+ePNHBwYEVoBIaB4NB6yXl853U+dFCd1IHs7+/b3qwhYUFQ2WVSkWlUkmlUsnOLevi3iGMdDQaNfErPCeDe8kaLS8vq1wum0Rkbm7OKjcompae9pyXTjL4riaNLgunVSGcapQeP35sRbizs7OGhLa3txUOh7W6umq1XS6EB+bSiuPcuXNjLVBc6M/hn5mZUafT0fr6umlfUFVjsEhZDodDUzpjpFC4SuOZqUnGgwcPdP36dSUSCWWzWesDhcfZ3Ny0rgYsOmEZaVN0HsB9MpBkDcnasPmdTkdLS0uWOYtEIlpeXrYWECQPmA98BIWr/Fm/39dnn3020Tzh83y+k3IXyErKIlhnfpYsFZwCF4D1RZtGLR5rjiSgUqmo2+1qZWXFLiRng2JbjDYiRjJG9PBiT0GoZw23hSvogUt1eHhovbsoX+JiEl5hZDBUOL54PG5CV34Ww4SjACEkEgkLYS5cuKBarTZGqnMXRqORCY5xtLu7uxPt5Y9+9CP9yZ/8iVqtlmZmZqw+0C3RIhxnb0GIOEZCPAwl/Zhw6pTW0MjuypUr2tvbUzabtYwlYlnuPvWyfIbb3A8QMxgMdP/+/S+c21kvo9Rf/uVfGlqh3SuSfISQKLfhF9rttnkArOnBwYGx9+6FB+F4PB5tbGyoUqlYzI2HpM0uoSN6EiwvmTg4JhZk0jqid955R9evX7cLC9HKYYHUpVwAw4ihSCQSyufzJvh0eQh65tDEDb1Rs9nUuXPnDDXAP9E7STrRXJXLZQtVKcNx1bSStLW1NdE8QXBcbg5rOBw2gh7DACLEq7o1U+wbvXxKpZLq9bqFRpDYe3t7KpfL1r+clD8yEvgsdG6oyHE4blaXLOxZ4+///u/1x3/8x5YSJ5TkLLkZYFAoKXC+iwucTCbNQMG/EOoi/huNTt6ag0Qi9YvXOxEW0RIaxEnPcEoucJzU93300UcT7eXOzo7tKfcNQ+QmDpCY4FQ9npOyMUS4rVZL+/v7Ju+p1Wp2PgaDgdbX162/FoXY3A3aYbs8HcbYlQlAU9C9cjgcWv+yzxunGqVCoaBKpaLFxcWxHtOubH5mZsbqsAglsLDEywcHB9rb29P29rax8TTJHw5P3vJaLBZVKpXMe3Q6HeMDiIdp+8BlZFHdzXE1N5NqPtwFYkPczEkmk7ENdvtHQQzidfDGGKFms2lEImiAdsKNRsOMOeEnHgVeLZFIjOmxQAvMjf2YJCvFnEB4oFWX2KbbJ1XsiP/i8bhlX548eWKH68mTJ0ZsVyoVW7tKpWLhPMaLdVhYWLC1Qw6AEcfgEz65uq1JjdJ7772n733ve1pcXBxTOktPe0ORCePzQGcY6F6vp3g8brWJrAlyhtFoZK+konsD6AE+jLONs3FFnOiBONOcK/cFGWcNnoVw1w2n+V7QNC+oGAwGhur9fr/xQTxjOBy2pAQc5vHxsdEgS0tLVitIVwfQLCiYjDHAAHTuyocknTrPU40SsbMbZ7pwkEWh8tptRJ/JZKw/zJ07d1QsFsfIUXo389n1et0a4pOKBl6ziXg+NpnNd0VnWHw3jDxruOpy0qYu8QfpSUjB68GJp2OxmHZ3d42ruHv3rqE6jDR1VjReh/SsVqt69dVXFQ6HrYEbokEuDh5Hkqmn+TuQxyTDFbq5GVX38sPv9HonrUvpAIDh2NnZ0c7OjnGCGNzDw0MrOKXFMVoeSPl0Om0e3X1BAsbyWcEfFxbjMYlIlMSLu5cu38XesidcFEjYQCBgbyZ59OiROSbppGk+z46DQZJBx4hWq2WUhquOR+HtIlWcJ8/iarPOGtQRSk8dsisIdfcGGQjlMyDeXC6nhw8fWq3o7u6u9vb2LFEVCoVUr9ft7UKj0cj4QygMHJsrcgYscD7dom/WkfP8eeNMo8TiumlaUr2ulcb7wctQxxMKhXTlyhVDD7VaTeVy2TJpgcDJq2JoA8vhhNPwer3WC5y3J4C2UP3CR7h6HmD2JANdBvMBbgKF0ZzUajV7W0UymVQul7OaN0nWiZNnbTQa2tnZsVcVofk5ODgwSI/npZaNmJx5SBpLILDp7AfFkZMMkBUhNOp8V+T3rBYs9Yse5fzZuXPnxpIKNIdDWMlLJNHusIbsB+EtiA9eAifEz2AsUGF7PB5rx3rWHOGVpKfdNN0SD/aTkNPrPXn1uYt0Hj58qE8//dRKZWjAB6LqdrsmDL506ZL1ksrlcva9nU7HSlkwiBDCGBLOOHOc9Mw+KwglvKe2DgpkMBgYPcA7Gbkr6XRa3/ve9/Tw4UNtbm5qf3/fRJWE9CRweFbaUlNYy7O74mP2kQwjzpDnI5P7RePU0+zz+XR0dKROp6NYLGYWkE10yx7wpJBoiN/QKNE4q9ls2ksBOWStVksrKytGKOJNMUZuWp3YlO/hrQx4NBaPrOAkA4TA92E8ISwhb0mRSjLlNfOOx+O6du2aze3g4MD0U8ViUclk0hp9XblyxRACpCckNp7T1fwQCuB98KYc8kmHGypyuTjEeG3+3M1uut43FArp4sWLevLkiYljeafb3t6e8RXpdNpeGcRFwwC79XvPCkaf7VCA8fV4Jqt9A2HhoECotEXhe10kA+LF+KZSKZ07d077+/vK5XLWPndra0u9Xs/a2i4sLNgr0z2ekwZ6zA8dGwJa1pjIArTLJQYlfZk2NPQ5f1bEyhl1wyfGsy2cR6OTmrtisWjaNH539XoknbifzI3v5ndQLzQLEQjPPBw+bfD3RePU+AZVtv3wL4wMAinSrwyaZRG6YME5VBCm/X7fXl/U7/etST2GhMvP4jF5UvDwHTSQ4jCzcD6fT8ViceImb8TchKRcJCA5vI6bPYSoxVhKMh4Ncn5nZ8cubKFQsH7j7iHkomCgOMwu50GbFuA4A65p0oPMIR0Oh4ZC0OG4PByN/DD87l5yyGkQNhgMxl61c3R0ZBeO95zhPPDYIAf30hByuZUDhAYY4lKpdOYc4X/gV+AoObOgBUljhgpagQu8sLCg73znOyZuLJVK1kGUS5XL5XT16lXl83mrAySrx7lxhZcICiHWOatuicukyRle2OE6ErcsyN1r0C/nCcNIqNloNJTL5XT+/HlrkYN2yUVC/B17BrLj3LiEOueU7CZZSyKbXxkpoSdAaS2deB4IQxaE0IZFJwZvt9tWIAtpOjc3p5WVFW1vb6tardqh51DiOcjU8eYOSVY/Q18muJdnCbXBYKD9/f2JOaVWq6WjoyOrY2KBSeGzqWRhSGfjkUA2hF1wMPBkkqx3NQpZSSZMfJa749C4haQorjHWEJcY80kGe4VH5TKCjDhU9Ewic8W/I/0MYksmkzp37pz29vaM7yOs59lcJTVODWcGIiJ7CtfiZsagC0ajkQqFwplz7Pf7FuaDini3HUYRJ4kTJR2PYSaURZzK88IJ1Wq1MYQC0gLVceFYV9ZeOokokK9QIoXzdDnWs0a73dbjx4+t2yUJAqgI7hIRC++zg1Nyn5M9mJub04svvmh3EL4UZ+lKB5BBwCVBeONcMYIuLcAa0uf8i8apRsnjOXmRXLlcViwWGytx4IvgNGg0dnx8PKbPabVaRpbWajVTA/d6PWWzWbXbbdtQem9jqCBj3cwUqmi4CaA4cS7E787OzsTxOS16X3jhBfNcFL1ijPhc+BJJ5i2KxaJB/+Hw5CWHy8vLOjg4UKFQsAvCZ7E5HHi3HAJPR7bKLd9xS0HwXvRSnmRwudEWueE3z5PL5UwwClfIXsJrEc4FgycvT3j55ZeNECUU5bBWq1XroQ6hi/GCGMah0TlAesqZwCHu7u5OpOiWToSFbmiYSCRM0ImcBc4PWgL0iHElqeHqnUC9XDa3NAMn6oZFIEZJZiD5b8JEJCOj0ci6s04yfD6fHjx4oNdff90ypOwvAxkDXCgoH7SD/AWOGOX2ysqKhahId+C+3AaHGEMiFOZKqMp3IS0ZjUba29s7EzCc+Ybco6MjbW9vWyMxDhOwzSWVi8WiISlJ1qMbzgbux+fzaWVlRUtLS+ZRq9Xq2HvHQUKgDV6VzcVJJBIW9mCFEW0Vi8WJRWjSCTJZW1uzvt8QwG4GyI2TeWXQs3VRKJIRRhKebmxs2ObTwhc4DymOdwEl4Mmlp72s8EKgwdFo9KXm6X4ehxeP5oZJvFCSVzpRv4R+i2wSZ2RxcVFf+9rXjOis1+vGm7hlSUB3XphI6M0as/YgG5e0Xl9fn2iOXq/XVNusI2lwjDmF28Fg0F5nBbGPI5RkiMDn82l2dlYrKyvKZDLq9U76VpMkcEN8lOluSIjiX5IZPBCMK3colUoTK7qlE33a6urqWEYNqoPwrlwuW8/1wWBgLYFodU1lwmg0MtU3SRw3DAN5gaZpq4sj9fv9liwAMeIAIfcHg5OCZxeNft441SgR6//kJz/RG2+8YeIsCCvp5KCVy2Xt7u6qUCgY0fu1r33NQpbDw0MjC92MWjweV7lc1ubmph1UNplLgMp1Z2dH2WxW8/PzY9J4V48Ev3Lv3j07aJMMvA4N/QlpCCs4bBROQrjyUs5UKmWZSbQmqGzfeustvfjii4YqKa/ge9EzwX3wnVxmDilzBH2ORiPrBjipd93c3NTly5fHFOkgil6vp1KppEqlokKhYCTl66+/bq1fEdeR/JA05l0JQ4+Pj+X3++0zeG54DMInDDNcj0u408sK9LKzs3Mq5Gd4vV5r3+qqjt30OZIHEAROlPDOJXZxehjy8+fP28Vz1edwgF6v114JJT1tqYORZI1AbnBQ8FWTzJGzU61WdefOHSsEdms1eVsJGS8MSrFY1NHRkZ1Z1NpIXGgjvbq6qkePHqnZbFr7XjeUPT4+1s7OjmVocVhkxBH6Uh3R7/e1ubmpQqFgCPOLxqlGCSRy8+ZNffrpp3r99dfN23ChRqORlRNQGX7v3j29//775lHoxXJ4eKhoNGq1cjw8MBCkQkhGyDQ/P69Lly7p6tWrtvCgM4R5fr/fyOWtra2JDZJ0YlgLhYI++eQTQ4QgB37nlUv7+/va29vTJ598ouvXr2t5eVmDwUlhJ4cdDxKPx61UgVBOknkq0u2dTkflctlesYN6fmFhwbIdhBhIBvr9vh48eGCebpLxs5/9zER+pMYJKd2EA2FdrVbTP/3TP2lubs4am5HSrdfr1m4GLm5/f19PnjxRo9EwdMILDyCB0adBpkKAw5WBjEjZD4dDFQqFM4s43XF4eKjbt29reXnZkLkkOy+Hh4fa39/Xzs6OGQtJplgmgeG+eKBer1s9JC8HaDabtheovQlx3Cyj2wYGZEpWFZ5qf39fh4eHEzsYnOW9e/d06dIl+f1+61HkGvR+v2+RBQZlfX3d2gERpnIfQYvoknw+n/FFGGde/XXt2jXjCrEFICneKuO+zPWzzz6zqONXNkqw+p1OR//+7/9upRRuGppwJRg8eVng1atX9fbbb+vOnTv6+OOPzfNDyPHqlvX1dR0cHIxloNDzADfRSXz961/XtWvXNDMzY68nJrvjWvrj42Pdvn3bJj4pacilf/fdd/XWW29Z8TDeFZJ3MDhpg5rP53V0dKRbt27phz/8oaGl2dlZC2EptnUVviBMNptwDoPM21cvXrxooTFGGgONMTk4ONDa2tov8QinjY8++kgvv/yyLl++PMZxsIeQ64uLiwqHw8pkMtrY2NB7772n1dVV7e7u6q233pLH49H6+rq+/e1va2dnx+QPZOF8Pp82NzfHpAS8M4wEAcJMQg5+dy8qiZI7d+5MzJtJJ6jy448/1je+8Q1ls1mbH8ifqnnWGLEg4WO327V3myEiZV2CwaAKhYL29/fHimu5L9Vq1daCsC4ajWp+ft7OFQiS+Y5GI92/f9+c2SSD7GStVtOtW7eUy+Us8YNDx3lj/DlPdDvlu3FIGBOv16ulpSXjVeGbOGec71wuZy/eRAtGRhj+Dyd6//59e5ejpF+dU4J8HQwGunPnjj766CPduHHD2HsgOpPNZDLWjPw73/mO0um0KpWKdnd3tbm5aa8oSiQSWl5eVjAYVKVSsXet0QIkmUzq6tWrWlhYUCqVMsWs9LSfNuEO3t3r9Wp9fd0WZ9KLymcFAgE9fPhQt27d0je+8Q1bNBS+eHCas7322mt67bXX9KMf/cgkClwA3gjy6NEjq/oncwZcj0ajJjikM+dLL72kc+fO2fuyeDa8GQRjs9nU48ePVavVvtRcj4+PdevWLZMuEBp5PB4T+4XDYeVyOWugh6Bwd3fXXsmOvOOll14ylEmWFVU0XBfEcSgUsrTz0tKSXR7IcQyGWw/ZbDb16NEjFYvFiREEZ3ZtbU337t3T9evXDemQDGEvMZRojfb391UoFKz+DtU56fBMJqODgwN7Eavbu4iiXlA+NYFIBdijbrdr2TcSMzs7O9rc3DRHNclARuDz+YxbkmQveJBkNaLQAG6DOVcK0u12zWEQ2TAXl1dzi6JpxeJSLlAL5XLZZCVk8NfW1uy5XX3T542JkBLe7p133lEmk7GOda5eAWvMZJLJpF577TVtbGwon8/bK54RwUWjUV27dk1bW1uanZ21NCvCQpTAeFbQBBCZg0PNVbVa1ePHjw1ifpnBAs3MzOiHP/yhVlZWFI1GLTRCgzMzc/KWDnp/86zb29va3t6210KnUil79TftMji0pMGRFuTzeV28eNH6JFNdXyqV7CBwkEEP29vbevLkiW3ypEZpOBzqww8/1MrKijVDI3QhQ0hbFYR8kUhEly9fls938gbcvb09PXr0SLFYzDKLvJ+PNPFwOFQ+n1c6ndby8rIJE0kg0F0SPY/P57M1gVfrdrva3d3V48ePjYecdJ4QvZzXhYUFuzz1el3dbteyX3TSJAwtFArm+be2tuzS7u3tWVLGPYPox1BM8xptitUJi7iMINJwOGz6p08++WSsimGSATmOEazVakYjuDWFhOIYE1e/hJyEljWcc0J6BnccoSUvE3BFuDhvep/xPsRSqaR79+4ZuT3J/M7EihC+1D198skn9hYLDBC8CQ8O30OFdKlUMkIMa4uWYmVlxUhvDosrrHOl68BGFgxP2+/3tbq6OvYmiS+DlIhxafD1wQcf6PXXX7fsChlFV9GNduPSpUsajU5qgmq1mtbX19Xtdu2V33BOCMjwkj6fT9euXVM6nbaMItk4yGM8D2ldMmMPHjww4eiXOcjD4UmN2s2bN5VKpdRoNKx63+Px2J5yeNAVkVmRZAI71prXObN/CB5Jw7MfEMFolgjHID1rtdpYlqhWq+nx48fG1UxKACOABfnevn3bqtfpEEnRM1IVuB+v16u5uTm1222TAVAJT9dFOoHiLNwMrKudoyUI0QS/VyoV4+YODw+1vr5uUoBfxZnyi7a2GBrABGvB87p1nmS3t7e3raMDWXWSEfROymazmp2dNX6QgmDuA/+GRoF836NHj8yQcwbP0g9OVJDrpi7X19f16quvqlarWV8ZUoKuTgF+iEwa9WRkk9z/RjPCRSNkdDVBaGTgBojHu92uSqWSCoXCGOH2ZTcYI+n1enXnzh0tLS2ZMRqNRsYb4PEwyD6fT3Nzc+b1M5nMmKDR4/Ho8uXLVvnOgeQQEm7Av7jPD3wm3pekJ0+eWLfDL2OQpKdlCI8fP9Yf/MEfWJKA0JLnAJGCluAFQSCQwYPBwDJchHqgOTg0vG+z2Rzrw4MB4xxQQwdfub29bbVmz2qXzhoY68FgoLt37yqfzyuXyxmZzplEW+YWgGMk3a4U/CwcmCTT3nB2CMUSiYRyuZzVhbkN+cn29fsnjfsJiTEAX+bcsv84DtAexD1tZNyOCGRAOVvMPZlMmiEjI4dhpWskGTaQGVwZe9xoNIxOITze2NgY0165codfmehG/eumRJvNpmKxmMFgt1cNP8tBdOUD/FvakpAxgxtyoSBpYsjYcrls3gzSGbFepVLRvXv3DD3hOb4sFOYZ2RiXHHU1JkDZYDA49urkeDxuHgKBJ6gQTRWhDYgBSIsw0i3/wBGQ2uWw0GqC8WWML4aGQ4xRh2MApWGUXJU5Bw0D4mYmucykgAnDCHFGo5EhE4jQZ5W+dFggdFpfX7e1wgF8mXlKJwi4UChobW3N9oN6RZcvdTVahJJuaQmOAskCv7gXoJG5uTktLCzYywZYF5wNnRO4Jw8fPjTF/5dxLgxQJ04zFotZ5oyMoM/nMweBg0fOQeeAYDCobDZrzt6tvURvJcnQD3OCawVwEAJikHZ2duxOuft31l6eSXQT1riZOGqegLQU57JAEKgccLJk5XJZh4eHKhaLOj4+tr9nAcLhsOmQ8DDwOryympCNNrQPHjzQ7u6ueQU8GcZpksHPchGB92RJKHng4OBxIMhBkcFgcKy+zT24rn6EjCPcGy103YtMeEMGqtls6uHDh/a9Ls/yZbQt6G7cy46nh1/iELptPajLajabdlnJCHKZ4UvYU1BvPp/XwsKCPB6PpZdBXRD/eNtms2myAi78r4II+Z1aPvaM/cQIw1W6GVuErBThHhwcGF8GAna7KKRSKS0sLCibzZpOifXG6JFMAPEic3Dn9WXCVFdaQOLB5/NZS2mXX8J4NZvNsTIwOgm4oZVb+oPzxLlyfgjHMYBkwpn36uqq1tbWNBqN7Jw/uz+nOdOJ8o+obrGsgUDASkRQIxO+wUkQv4KwiD/D4bDS6fRYO1GEkrx99tkSCP672WxaTF4qlVQsFrW1tWUenUVkwTFsZw3ibxZMknENKNEh3NlE0BQxOJuC8S2Xy2q32xZz452A9Bx+vJcb7mLIidEbjYZ2d3d1eHg4FpO7l2+SgZEAkSWTSStybTabVn7As8I5ULk/GAzskhcKBZVKJdOZMQdJFtbncjnNzc1pfn7e9DsUTvNZlH3QRuTx48fWuN91LKCas4arVGeQOCEx49bokTrn4rgOMplMWr0f8+az0GAlk8kxvRmIy33dF066VqtZCL+xsWHzcZ3bpMMVwEpPURN7uL+/L+lElU54zhyZP61c2GvayWB4+EycEnwuhgvVPrWjXu/JS2VXV1fNweLkQaYYRJdIf3aciZSwyKQQCW9CoZC1xi2VSmMTB862Wi1T6uKh6PkLV8ECg0bwoq5VhtmnQrtcLpvQi1DARSRwFSzAWQM0SKoSYxGLxbS+vm5N2QhRmA8FnZLGym7w+swTdTkHmeyT26/J5/ONlakQoqJ5uX//voWG7A3P/mUQoatshpxHpFitVo3QJ6zEGPHvAoGAlVqACpgvJLDLQ5CFYj/YExAvmaNWq2UelnIazh9nCwN/2nBT5aCjQOCkiyfnBifT6/WsDc6zpTd+v9/ecoNQktcqIawEnXDWXXGha4wIvQkF6ejqIhRJXxoRcu5ZJ7Lg0okQlDA0EolYKMZ3cOZA5oTyLrp3OU8AhqslQ4vEXSbTGQwGrZAa3o07zj0/TY91JqeEtZSeanYgPhFsra6u2ssY4UK4YCAkatpQ+LplE26FOX8GlMUAcDDgV2gIBzcCQiPscRfkrOF6Y+npRQ+Hw/aGE3ozQe5xablswHle1ucSumR82BQQI/oVl0gGDTJXXgR5dHRkUJy1cgt0Jxl4Y9APodX6+roZJ+mkgJV1iEQixp3xfdFoVNls1mQA8EaSDGVw0bk4JAUIU5E99Ho9K6/Y3d218JaQ2FWcn/b+eXcvMUiukeAMcn5QakMhgII588whFAopkUj8kvgV54Uz4txKTx0UnRz6/b4R3Ht7e8aXsV7M98tmjfkM9gVEQjcNj8djIb8LMNwkg9vqhR7eIFr2zOWKMeR8Py+54DVWaLp2dnbMbrg8L2tzGmA4EykBKbm4hGsccFKoOzs7lnHgYSAX3T9z0QgH2n1RALGsK7CCOC0Wi2o2m7p48aKFkul02rQtbvgmfTkS2J0jPIrHc1LM2Wq1tLe3J7//6XvWiLFdiItHj0ajFmtjfCGTny1odSF1p9NRtVq1X5DchFjwE3AlSA2+TEmN13vSxgIvHwqFtLi4aIbJbb7mcmmuUSLrxgsqWS8cFhccY8Qc2XMXJaEg5gUTtE1+NgxzP+e0gYfn3+HpcRSEi+6rhzA28KI8KwkBqADWnH3gXIMo+H74Fi4x2dNKpaLPPvvMMtestcvrTIp6pacvGwC1gSolmYbq0qVLWl9ft8QUzpI9drm24XBoaB8JilvwDp0gnRhgiqtXVlasUqPVaimdTpshc4EG1AFUyxeNicSTbCwkK8ZnOBzaoa5Wq2YdyT7wMFhIPJF7qXh416BwSAKBkx7XNHYrFosmxkOfxKT5Pg7IlzFIeFTXe7mh5NLSknl3shV4YMI+DA5ICHEgKMJtYeF+LxuHjIImWZVfvA+O9qMopt25ckEmCWvYC+aIN5VO+LMLFy7o7t27BvcxnMwJrsVN7xKukz2Fz3BDYQ42mSu4QQ64z+fTwsKCAoGAFhYW9OTJkzGNGpf/2QzOFw23ftJNYIAos9msrbErf2BNWWPWxtWCuU0DMXRumQxaHerhQB2VSsVaeFBTBv/EmuLMJkVKKPDhLSlXwplGIhF7m+25c+f08OFDa0fDPrl3E/RE4oLzSmaNcA/KAknEwsKCFhcXxzJ08IwYuWdREefqi4bnV0lFTsd0TMd0/I8ak2PF6ZiO6ZiOr2BMjdJ0TMd0PFdjapSmYzqm47kaU6M0HdMxHc/VmBql6ZiO6XiuxtQoTcd0TMdzNf5/guv3VHmvqz8AAAAASUVORK5CYII=\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 35\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 36\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 37\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 38\n" + ] + }, + { + "data": { + "image/png": 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FTdOQSqXQ6/XgeZ6kGPPz86K9qqri9ddfn4rTyWRSWDOi7pMKmC6vUCig1Wqh2+1KDtput6HrOhKJhOS0TGNIzRqGgXa7jddffx2pVAqdTgeWZUkc5mszmQyuXLmC999/H8vLy1hcXES9Xke/30c0GoVpmojH45IxLC8vw7ZtwQU0OirP7OwsXnrppdMJGHjE0/q+L7lnMpmEaZqIxWIYDodwHAeapokVERCwLKaqKi5dugTXdQX9hUl8AEKBvvnmm/j973+Pt99+G+fPn4dhGHBdV/JhXnI4Z4xGo1PVnPF4DN/3YVkW8vn8iQScTCbh+z4URYFpmlN77Ha7YqG6rkuaxkUSZG9vD+fOncP58+cRBAGi0ajw9mTmyE1fuHABtVoNd+/exfnz58UVEzzSc9i2LcJUVVVYNYZC3/eRz+eFJn5mAQ8GA6TTaTSbTaniAI9cUqfTQTablYfzwweDgXCwdM9BECCZTAq1aFnWVMmPVN8rr7yCarWKDz74AF/96lfxzW9+E0dHR+h0OuJFLMtCJpOBZVkYDAaCKKmAuq6j0WjIa06y1tbWsL+/LwrHsEMBxeNxxGIxRCIR4cfDlGqj0YBpmrh48aKQIHS1fH24KEFac3t7Gzs7O7hy5QoWFxfh+77cBeMy75Zl2bD1EuRms9nTCdj3fWQyGezs7KDT6SCXy2EymYgwi8VH05C0MHKuLBRsb28jCAIYhgHbttHr9US4wOMyGJUnGo3i6tWr2NnZwc2bN/HNb34TKysrkmezeBGLxQRRMu8OF+NbrZYg3JMs5tHhEqVpmnLZuVxOPoOLOOLg4AC+72NtbQ3JZBLtdlsaGrjf8N4ZM1OpFBYWFlAqlfDxxx/j/PnzWFhYEIECj2vo9F48o6qqqFarEq6IZZ5ZwM1mE8ViEaurqyiVSlhZWRH4rqoqMpnM1GGoseVyGTdv3kStVhMCw3EcsV7WT2mBFPBoNEI2m8XLL7+MDz/8ENevX8f58+eRy+XETfLy2XVhWZZ0dACPtNowDBQKBXS73RPFYbJwsVgMQRCIpZBoYWoXrudWKhWUSiV0u13Mzc0hn89jMBhIqAgXU1hODb9f0zQUi0UEQYBWq4WbN2+iXC7j/Pnzktfqug5d16fc9Gg0EuZwfn5+qqniVAJmNckwDOzv7wvisyxLSI/JZIIgCOD7PnZ3d/HZZ59BVVWsra1JNYX0HCtEbGuJxWJTHSKKomBxcRF7e3toNBr4zW9+g5dffhkrKytYWFgQIPJkS02/30ez2YTrulhcXIRlWWg2m08VLgC4riupzu7urgAugicSKJ7noV6vo1KpoNPpQNd1ZDIZpNNpqKoqyuq6LlzXlVJiv99HKpUSVovAbG1tDeVyGcPhEK1WC/fv38fu7i6WlpawtLQkuW8kEgEAqdaNRiMUi0Xouo7hcChG9swCbrVaUo4jqGKpr91uC5M1Go0E8SqKgtXVVSSTSXHlBA5hRD4ajaSoEHZ9ALC8vIy//vWv6HQ6sG0b9+7dw+7uLpaXl7GwsICFhQWsra0JSvd9X6i9ubk5sZadnZ1jESYXkb2maZibm0Oj0UCpVBKmrVQqTdGU8XgcuVwOtm0jGo3CdV3xIJ7nod1uiyAGg4Hc1cLCgvSnWZYlhEW9Xkc2m0UkEoHrutjb20Oz2cS5c+ewtLQk7NV4PBYPyIYBAMLmPbOAWaIi2TAej2EYhnR3kHsmoAIgaE9VVRwdHUlc830fg8EAnU4HhUJBuGrGlHC3QyaTwerqKra2tgS1BkGAg4MDbG9vw7IsvPHGG7h27RocxxHEyTSJrvXu3bv41re+9VQB93o99Ho9wQvFYlFyV9d1pbcrm80iFotJqKCw2u024vG4ULi1Wg3RaFTup91uC0Iej8fY29uDaZrY3NwUiycGYYGD2QJLp+FmP3428Bjwksl7JgGTuSkWixIzuZh30t2QOHccRwBFv99Hr9fD3t4eXNdFEASiHCyKM14SfXa7XeTzeWiaJnFQVVWkUilhqWzbRjwen+qeYIxkC8xwOMRnn332VOHytb1eT2IdYzoJkGQyKRZKr+O6ruTJDE+DwQA3btwQLprpW6vVAgAUCgUJO5ZlSSMBWSwaENNBepUnG++YKjGD2N/f/5eM3bECzmQyAo4YY/hwFuaJqkmcs+pBDVMUBbVaTcplS0tLCIJA8kfWTRVFwf3791EqlbC+vo7xeCzxOQgCQen0FvQgdP0UDC/V93185StfOZGAGYYYy4grwhZDooGVHs/zMBgMEASBIG7mv/F4HNlsVp7jOI5Qi8PhEBcuXEA8HhdCo9VqTcVStkTRmnn3vM/RaDTVj3bqjg5qHLWbeS4vklpHF8fKiGmaEq9pDfPz8zAMA77vo1wuS3WGhfbDw0OUy+UprY3FYuKeqFjdbldIlHC3ZjQalfx1NBqh2Wxic3PzRALu9XoijLDi8sLp9geDAXq93lRe+yQdubGxMSUACiEajUoImZ2dhW3bSKVS0uPVbrdFeEEQCFBjehbun+ZPsoCNRuN0AiZYabfbkprQYsOaxNzO933pCgwfkvlkNpuVPl5FUSR+TiYT1Ot1ZDIZaQRotVpIp9NoNBrQdR2u68qlMhcOt/YQ0CWTSYlrbOt52uJ+wzl8OBclOubrqLRUYqL4cGM+O1LCLJvrulKYYZ8blV9VVbkbYp9mszkVMqgw4X7x43qinyrgbrcrLpSH5mGZdLPM1Wg0ROvDPcQ8MDWVVs5JBzbj8eAEMOw1Csd9NvTF43EhTyzLks9gvKanOSnRQfcc3ge7IIn4+XtaE72TpmkIgkA8DNE2lTuceXieJ10hmUxG0DCrZsQtvGtmJmTRSKWS+BiNRkLqnErA7777rnRj8CJY36T20RLb7bZosGmaGAwGiEQiomHsVGCMpvujorAAQdBhmqa0piQSCRQKBRweHmJvbw+ZTAaxWEyqR2zco/VRMCddjuNIrg88drcUEAABQLROhgqGKN/30el0pHTHPVDwxAxUxjDoZJpHMoegimcKDwuwD52G5vv+6Qv+f/nLX6TPeGVlRQ5KZobWyvyQbioej0/FE2o/3ZuqqkJ00JWHW1cIsHzfl/YXwzDw0ksv4eDgQCzBsiypLFEgtJadnR3cuHEDr7766lMFTO76yUkKKnG4GZ6tOhQwcQABI9mnJ4ERyQrSuszbSYQ0m02YpinFA9/3pQeLn8EVxgdUoFMJmOCpVCphc3MTqqoKBxyOw6xVhhE242V4vMUwDJmAYFMbqUQehNbD5xNRMrcsFApSBw1PPlDzKYi7d+/igw8+wI9//OOnClhRFInlpE/D4yjck+/7shcqJq2eaUssFoOu66LkBEn0evx7NBoVKw2CQJog+v0+EomElEGZioYH8oDHbJjneaevJjF+lMtl+L4vm+LG+O9kMindfp7n4eDgQNghulsejj3FPDz7m6g8FDQHqw4ODuA4DorFImq1GmKxmLw3jCTJ9Oi6jv39fVQqlan4fdxKJpNCwdID0NMAj0mFVquFdrstlkyGLyxICptgiXtjwYTCDTN7tVoNh4eHovi5XA6zs7MYDoeCUcLgigbGOH/qyQai1FqthmazKYQ6MD0aytIWL5ujpWx74aaYftBdM/Wia0un05iZmRHgxhZV0zSliT0ajSKXywk/zPeGkeWtW7ewt7d3LEcbXrZtC6AMM0X0UPwcCozMHNMT8sVhKyMwY8bA95KsYcdLo9FAuVxGo9EQNqxSqYh3I6bhXYfbo/jfTt2yE56r6Xa7KJfLKBaLMnhFUEQXyctmfzTwyF0y3jD2eJ4ncZvdFyQH2OfETpHhcCiTEXxPoVAQgMHJB7rscrmMP/3pT2i32xL3nrb+9re/YTKZIJ/PiyegcofdtW3bglwpNFo+zx6e/SUBwv411pXDhQemQblcTrxXu91Gq9WS1zAl46ISuq6LO3fu4ODgANeuXXt2AXNWxnEcTCYTVKtVZDIZyXUJlnjJjMdhBoYxh8CAbpWphaqq0itNnpdlwPF4jGq1Ki0w4TSNpEM4LgHAhx9+iL29PQFAJ1nvvfceisUiVlZWpNgOPJrmY3pCSwIgCs2+Z6YuTA+Z/tADEEskk0np6WaZk5MhpVIJlUpFRoGazSZmZmYAPJ5SDLODAFCtVnHjxo1jx2SfKmDys+zAPzo6wtzc3FTtk8EeeFykDrNMYYovnC8SVHAeh10fbKGhUrAb0XEc2LYt3DdjHSnNUqmEmzdvSpvuSRf7kbvdLjKZjJAa4bSEAgzn67lcDtlsVgYByIjR2oiS6a6r1aoMuuXzeZn2IAFEhadncBxHQgTBH8Fdr9fDzZs3sbu7K4r3zAJmgZojKpZlTfXxEtTQmpjf0ropYF4We7gajQZarZbEKnY0jsdjZLNZ+L4vhwqPmLKITmZrPB5LF4Xrunj33XdRLpdl/8d1G05dwt9BECf52GZEhNzr9aRZgdiD1CPBElE8hcx0qlarSawEgPn5eUSjUQRBIG1H4UZ+VodopZ7niQKFZ7QPDw/x5z//WYDbqQQcHtp2XRdLS0sy6DUzMzOl6Uz2u92u0Jpkg2iJnKbjcxmjotGoxHq2ovBzGX9YTqMLZR7NNOPWrVu4c+eOzDqFe8hOIuAwr8uGAnodxjx+Hi05TNvSGIDpYe/BYCC1dMbg8XgszB8zEd43wwOVk54MeGxwvu/j1q1bMuB+XCh6qgWHe60ikQhisRgODw//YaKfLBXwGFgROdMKGbMZkwikWDQ3TROO4wgFynkkKgvfT60ej8fodrs4ODjA7du30W63RbAnjb+8IF4oZ3eZCXDQjPdA7xKOicDjwXSCKqJn4gN6MxI//P6TcDhjmNN1XUIiDYjejnXxzz77bIrrP5WAeUkUJMFWJBLB/fv3pSshTDg82ZoTiUREK2OxmMz5MI+lApimKTXf8EA5G9DDKVW/3xcX3Wg00Gw2UalUJPaSWAkL4CTnDIIA8/PzODg4QDwel8lAXiBd9Wg0Qr1el32GSRrSjWSs2J7En3SnVHAi9vA3GwCPUi8CUU4vRCIR1Go1fPjhh9jd3T2Rh3rqK9g9CEA2pygKjo6O0Gg0ZF6X33PBSg7w2FURGfNZ4QSeaZWiKDJvzLyaQMpxHDiOIyObbBXyfV9IFjYChhH1k9Tjv1qGYUi/1cWLF6HrOiqVirQa0UUSSHW7Xfm34zgyd0VLC+ensVhMiApy5+wKZSgzTVNiN8MP8CgNarVaEsqazSa2t7dxcHAgzfj/XwLmBZG5oisbjx8NjTGnZbmMrApjMgCpJVOg7I1meZHf+cGvewh/ThjFUkF6vR6azSZarRYMw8D6+jqOjo4QBIHk3rSMkwqY+T7Jh2QyKd+lMTs7O4Uz6GIJLrvdLmKxmHDjTH9YZrUsS+6CnShkskjdMpQ1m80p+td1XaRSKdRqNdlfq9WSIQLK5rjCylNVgK6XsYhgZzwey4Q6Ywk7DZkn0lWTWmNnBl1tPB6XPJMIlTm14zgiLF4Yh94cx4Hrupifn4dt26LNT3K1J3XRbBhwHAfdbheRSASzs7PY399/dEl/z2vZlsQL5SQlSZ/RaCQWqSiK5LEUYDqdlvAU5rDpqRRFESHzrprNJkajkXyFRDweFy4eOB5gnUjA4YeEma1YLIbZ2VmUy2WJ0d1uVxgh9ilx/ELXdSEmmBcS/oeLDLwMwzBQr9enChalUkly4HQ6jeXlZUQiEUmNmEM+K8himsIYy6+ZyGQy2N3dhaZp0nLDenW4BJhIJASfMOUiFcsyIEdsuMLlRBpC2DjoKfndJpPJBKurqwAez4yRnj01yOLh6YLpMtkLlUwmUa1WxXJ6vR4ajYZ8rQJhf7fblUoNARcb19hqQ0AxHo+lsY4JP3+6ritWzyG1brcrDW+0nJPmv1y8eJ6RZAVzbH6LQbjhniCRSJskBVuZKFi6c4LUMAvIyUXWyplaEccwJHieh5mZGViWhVar9Q/lwVO76Cc1JNzJwG9+yWQyaLVaoqVsNSFRwHjIi2DNWNd1GRFl3CYYIUAZDAZiHfwMXgzHN3kJVD4Cj3DN9KRCJilDto1jo+z27Pf7QjgMh0NRQgIhfma325X8l4oJQIiNMIXJ3NjzvCnqlbgCAJaWlrC4uIh8Pi/f1XVSD3WsgGm9dJPhhxLEsMGdlCPzYdKKLAkyPwQgcZsXxlyYzyQHTBfX6XSE+eFEA2uvvLwwoGI8e5Y0iW59MBhIoZ3VJXZdsGDiOA58359qCWIGQOKFYYvn7fV6klsDj0ux/AoMYo7R6PFXR1CRU6mUkCpsdQpz7ceByae6aD6E1sM8kICIYx8cwQi7D6YyBCgc4ajVavI8tgTxeznoJhkH2dnBPmVWbEjwh+u4vIRwi8tJFi+I4IYCACA17LA7DTft86soKByCRU5/ECD6vi9ANRaLSerJ++r3+0gmk/A8T0ZumDI+SddSgYnkj1PkExEdLJUxsJNeIzBgvsc22HDPUKfTEUul+wlbHQvnivLoy9OYA4Zbcok8iWYLhYK06vDCyejwQnnhJ1m8PGINpm3M2xmSwsJnisTLDitTuKuU31DH85Oz5t7oGQzDkFA0Go1kip/zyvwqCBI84ULPcZjj7P+68oKvs298f8HXmYBf8HUm4Bd8nQn4BV9nAn7B15mAX/D1/wD3qanzin4xmwAAAABJRU5ErkJggg==\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 39\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 40\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 41\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 42\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 43\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 44\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 45\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 47\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 48\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 49\n" + ] + }, + { + "data": { + "image/png": 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\n", 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IAty4cQPj8RhHR0cYjUabAWeIEsRgMBBtTlAXj4/YJTFsmeckIRqAspX9NcfTJCamCS8c0BBN00hHqIshGowN0cOHD3Hjxo3NgfM8vGkaDAYDPHnyZK3s6J4yDEPKGQmOxiGx0Yv6nJ5lS7/+xSjiXJ1zgOFwiDAMxTj64cK3336LXq+H9957D/1+H5PJZDPgJAce96Rp+qMKi7VZP6dmXutHSXpqUKoC65OeiwQHQCYu29vbUhp5GkOvW5aF4+NjeJ6Hd955B3t7e/jkk082A05LUzKOx+O1gzz9JiMbD4KgqGENJvmQ4HiLifWeZ+P6vTfKYU5imTaUrnqkUTwdHx8jjmP0er3NLwbQ05xzJ0kiuQ2sD/T0U1PXdddGQZSdbCB4rk5wvBKmn5zyEmEYhvA8T9JBP3ml8SloeIeVlej4+Pgnsb36X0hXbb0CftXWK+BXbV1Z4P8DJ089r/aX3rAAAAAASUVORK5CYII=\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 51\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 52\n" + ] + }, + { + "data": { + "image/png": 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YELQZx7GgXcMwUCgUoGma1I5BEODx48cIgkDYrlKphFQqheVy+VoY9jfvrlarUl5kMhnM53PYti3NDHr9arVCGIaYTqeCSpvNpqBc5uZCoXAtA3OT1dB+69YteJ4Hz/MkHDP3p1Ip+L6PTqcD4DxkAsBwOJQ5N5tNrK2twfd95HI5cSRN01Cr1aRDROTN+vc3v/nNBQLItm0kSYL79+9jMpmgWCyi2WyiXC5LurgMa1zZTeKmsT2WyWQQhiHS6TSOj48xm80wGo0EFLCeJcNFwxeLRZTLZamR30SLjBKlUkneQ6rT8zyMx2MBQmr5Vi6XUalUxJgEaPl8HuPx+FoGJvJ2HAfFYlE46NlsJqQLmy2srVldsILIZrPC+tVqNSnbOF81dKvomZGB35/P5+X1xCxsYjSbTayvr0vnLgxDqZvfycDFYlEYHuZQXdflNKfTaYxGIwwGAxiGgfl8jtVqBcdxpCRwHOfCJNg7JcHB1hpPhmEYwlCpXC+5b24qT1Uul5OUQUqT0eK6zYZcLgfHcQRvECnruo5qtQrTNNHtdgUQeZ4nkYZdsWw2KyxTtVqVDhDrcTZgeGgYyYigfd9HEARSKRCRs5PVaDSws7ODfD6P1Wol308+/50MzLpSJeA50uk0NjY2sLGxIbmEnST1S2nsKIoEXFiWBV3XhQhhiWGaJhaLBQzDuJBXlsul1L9qo5wdK4IVgjyyTNcduVwOqVRKyiACH3bNarUabt26hV6vh/F4DN/3L/C/ruuiUCgIhgiCQAxMUQIPCNdOkqNYLAr/HYahYBNGK0ZNRhmC0iiKhKd4Z6KjXC4LCKIB+F9OmkU2aTt6Ko1OYKZOhjSj4zhSb7IMC8NQAA+7MHwfcxjRPetIzo+bxwVfRgCoI5/PI0kSZDIZYZ2Y88kmaZqGUqkkpRgHGw4MtWqzRQ39hmFcyPVssbLzpXa/WCqq6Yiv57rZwZrP5+9OdBSLRQkvqnEIdliWqO1CVWWQTqelfFgsFgLaXNcVepILUYkUTpwMEIEVDUuH4ikmgaI6z9u0C13XBQDJoaxzGeI5Bzbz+b10ZBqF+VnTNGHzHMcRRo0Rx3EciYpk51QxAH/HNi3BKF8P4IJNLhuXGpj1ITeLsZ8T5hdwIlwAf8fJsgsTBIF0p9T8xAlTUTGfzzGfzwVFciO5GPZvaXBVJUHHAyD19VVD7dOSAUun07IOVdDAPeF30PnUDhOVL1S7MA3xPTztSZJIlOPe0aA8vdxj9WfWwfzsyzj3S5msKIrEYzh5fhi/TA2V9DC+jrmCzXr1sxiSuRBVwsNcGkURoiiSE8ONVssrNVwzjHPe172WwzDLOjqdTouOSnVuDjq0qkohuzSdTgFAQB7zJx2PejQSRwSQatmogkM1RPPfmSLpROrBenNceoJns5lMkgiPlKDrumJMdbFq+4qbzTYhAHS7XeFQmZ+Zr8fjsYQ5cs8MZyrxToOrOUtF3OwhXxdFU0igynPeTAnEH28KCQiOptMpwjCUJonKb6vtRFVRSXzheZ4oXegIqjOrqYBzY9Rg7f5OBubkeZJY/7IBzy9Wcx49UT1NPP29Xg+tVktAhOd5EuLa7TZarZaUQJVKRRgmOgxDJJ2I38+/h2Eop0kNo1eNIAjEGNxEtXLgd3B98/n8Qn9XNe5qtZK/67qO6XQqxmaTgiQHyyCefuqr3gzXqtPx3zlPMovvZGCGWkJ+ljs8HQRJYRheMDiNSyNEUYSjoyOcnJzgxYsXIk9ZX18Xh2EJkiSJyFXJ0ryZ42l4nnwAkreZC5nDrzOIftmXXSwWF8oypgmWKPwunnI6CSXCbC8STbOWjaIIJycnGA6HUgo2Gg3RlqnGU9fK1Md58MDREd+54c/QN5vNROStAhy1gE+S5IK0lI185tS9vT2cnZ3hiy++wOnpKZbLJba2tiS8jEYjfPnllxiNRvj000+FhqSwXlVgqr1WgjLP8+D7vshMGTmua2AKGlTmiYamGF9VfgZBIBXBYrHA8+fP0W63MRgM0Gq1EIYh6vU6hsMhyuWytFJ7vZ7IdNhWpfCflQWAC2UVTyojIkkRrpHO8dYG5ikk68QmPo3PMomlkkrdMQSxbGFuZEM/iiJZLPPx5uYmwjBEv98XgQAVG2roZV6jA6qGpSiQZdl1B0kONYeSQnUcRwwfhiGGw6HQpHTwfr+Pvb09dDod7O/vIwgCbG1tIY5jYcNmsxl830e73cbh4SGKxSLu3r0rGjOK5Nm1InevnmY68mg0EkXJO2uyVMBE8Zga/ljnqe1EDv5dbVjYto179+6J11PjZJomGo0G1tfXsbu7KzIY6pKazSZc18VgMMBgMIDjOCI8I1L3PA+TyUS0YW8DsgCIBIflked5yGQy0tFiCqJmmdd1WBtTK8b+uG3botQIgkCQOancZrMJy7Lg+z7Ozs4AnNO4jFZnZ2eSxnjJgPl+Mpmg1+uJmO+ySHWpgRnn2WRnaFElKQCknuVi1RNN5ufRo0fY2dmRcEcFByU/DIfNZlOADUN/v98XQsC2bRwfH+P09BT1el06WAyzFMlfl+QAIN81HA6Rz+eFNAFey2aA81PueZ6I/knNrlYrKbGYlvheAHJDoVgsolQqoVKpYGNjQ76fDtJut1EqlZDNZuE4Do6Pj/HixQvs7u5ibW1NetWMUsPhUND0OxmYQmxSbZR+0sBM/jzpahlAFBpFEabTqdB5bJJTU8USAoB0mdTuiG3bcrcJgGiTX758iW63i52dHVSrVQFzpDrV7s1Vg/w35UC8GcH18bbF0dGRnM5eryfOvFgs4Lou7t27J4JDRhWmCiJiOjLwup6lCnM2m2E4HMo6stksOp0OPvvsM9y5cwfb29siDmRf+io69lIDU9HA/iSNRmOowErdXFJ+anlFIp2bSXEbJ0zj8bPp/fwMhlwaznEc7O/vI45jqZXV+hXAtQ3M/nEURRcurjFKBUGAw8NDtFot3LlzR0AcczP3gQwYo9xwOMRgMBCSQmWniE0ISml0ynkIYMvlMlqtFr788ktomiY9c+KEq9LQpQb+5ptvRI/MD6JqUqUO4ziG53lCu9HQDB/8A0Byb7VaFTUEN5WNDJZeLI/IitHAzGfZbFaa7G+GKtad1xm+70vTnE0RppbFYoHhcIijoyPp16oAjrlR0zQBlYxklUpF2qnAa1qT3AFVmayfed0HOHdylRvf29uTBgjXqgLedzLwzs6ONApUoEEWizWhaZpIp9OiKFRLFHovQzOF4uzBqs7CE0j1IAe5Wm4O51OpVOD7/gXynieCxMN1RrfbRbPZlM2jqIGomnNZW1uTDeX6WVJRIB/HsaQy27Zx+/Ztqf15X4kqFWIHx3EuNDDYsqRTV6tVHB4eiqPzO7i/l41LDfzw4UOcnp6KNosniuGEJQrzEmlM1sqU5rAmpmdrmiYaX2qMNE2TUoc6Yy6A6J15m86SSqWkD8vXsJnBaHCd0ev1pCsVBMEF2SxP9Pr6OjY2NkS9ovZoGXLVtiINTHaq1WphNBqJIDCXy124DUFcw73jz47joFar4eXLlyiXyyI6ZBVDHv+dDJzNZtFoNISaY4hUuWfeNWJLbTKZSKOAp4ASHvZ9aTjHcVCtVnH79m0kSYLDw0O0221B35w8FRQ89Q8ePMDGxoaEsFwuJ7fzeAUFgJRbVw1d1y9cOaVkqNvtIo5jbGxsoF6vY21tDa1WC/v7+1Iu8b5RLpeTveFlcYLNVCqF7e1tFAoFSV/qXtDhJ5OJ8NDsA9y/fx+VSgX3799HqVRCsVhEr9cTBYyqSn1rA2va+Y1+1r4MJUR4BAyqJomTIygZDoeymEKhIMQIcwxv8GmadiGXUoeUJIl0aSqVCra2tqRJrmmaiO144QuA5N7rUpVra2uYTCbCOCVJckFFeufOHTQaDcRxjM3NTViWhT//+c/44x//iMPDQ7lgx0qB4TqTyaBarYqS1PM8uUlIByZXMJ/PMZlMMJlMhBz57W9/i62tLYxGI2xsbIiqhBouRsXLxpUGZv4LgkAQM+8oMedxkjyVu7u7qFar6Pf7aLfb8DxPpCsU8VGsTWaG8lxOmmQKo4eun18839jYwObmpoTFXC6Hbrcrd3hp4De7PpcNasxUvpmpiIiZsliSHJ9++qk8f+Pg4OACfapy851OB8fHx9KG5KMeXNeVxgPfy9q2Xq+LYN62bXS7XZFHHR0dCcdtGMaVdOyVwnd6M69HkoNmkueJJOplDmGYqtfrGI/H8jgF1o4svag+JL/Lskm9dEaFRLlclud/UJMMACcnJxiNRhf60aw5rzP4mWTdZrOZ5NEgCNDv97GzsyPhW9fPn9nxq1/9Cjs7Ozg+PpaLcSSGXNcVwkIFj1SqqBowrkfNubu7uygWi3K/enNzU54HwjYh8Fqv9k4GprHoLWwAEM4TVCVJIrcNmIu4EKoZGJI5CEqIoAms1LYfu1l8PALv9pAgieMYrVYLL168EGWH2l4cDq/3MFe1lie2mE6nUhGcnp7KfWSGcDoeRfG8z0wswksB3C8AUhtzz7h+lQwxTRO1Wg25XE66U2tra7AsS7huRhq+hyKDtzYwP4AeORqNRJPFBjUJCKJfvp6TVgl7nhKGXbULotas9GYiYYIptunoCN1uV+Ssb35GHMfX1kUD+H9QPiW9AORKKHMsu2UApFog6cGUxotkFOZzMFpQVA9AUhFwzm6p0liV2j08PJSDxX3kwfuucWUdwbBVKpWE5+VDQVSZDp/FoTapWYyzmU7oH8exNMX5XnovARgNy1PPPM1wl8lkMBgMhKhX8y4/820MzFPIVANAKFPOt9/vyzVRAJL/1DYjkTHTDQV1KrvGkowHhH8nDiHQZOODVGm3270gdCDBctnThK4EWax/CShms5mcFCZ7PhmGIV0VA6jNeXop87AqA1WNx0tVBCHcZGq4FouFGJdPA1D1Y5qmyeOXrjPY9jRNE5PJ5EJkYqShhoyX31njv0mjcq2kZ1nukGfnHJnm6PzcA/abyekz/R0fH4vem6+jkS9LRVfmYJIbqVRKHqJCj+XiGTJHo9GFU6c+9EsVavN00nPVZ0nR0BTKA69JeZ4s9qd5k4GgiqeEDnBdFE0ndl1XbviTOSOGYE4mJ69SsXQuhnTDMISEYJTintFwjFhkz1SJE52f9O9gMBCMw6hBrMHS6p0MrCI0XdcF+bI7xE4KN4gAiI9rUIVlqvqQzsEN4wapikhKZpj3CN6YJlSvZ9Tg6ZjNZnIx7DqDp4vzpVaMfW4AUstnMhlZixp6uXaedJ5Whmw1D9MZ+dnqM0rYOgXOHZV9brKJBJgMz4PBQKLcWxtYFXxzcc1mUxQTrGlpKKJOtdHPTWd45c+UnpBi5AaoUhhuFMsKvp51pKr/UrXQDN3XHXTQdDqNSqWCvb09IXnoZKZpYjQaCR1J51YNzBTEtKQqXpij2d6jZJY/MypkMhmJDmQD1T1VBXlhGF7pyNcia9VrIZVKBWdnZ+j3+1K+0Hg8obyeQbRJFotPoptOp6Kj4lPl2KBIpVJy95ecsJp3AFyIFmqtG8fnzw05PDy8IDS/aqja7Gq1ilarJY5Hp+XJ4jwpEKSqA4CkjPF4LDiCrJvaelQ7X2rJxfTG71Hltm+GZwDo9/sYjUbvruhgHmI4oEfWajUMh0PJS2RpAEhupGSUuYaSn0wmc+F6CZkiAHJLr1QqXZDIqjmXqJTCM3ZcWEKdnp5iNBrJtZnrGpjrdV0X5XJZUDuRMHMnu1csX5gm2FhQ56nuAU8fUwl5c1YbRNXq4590Xb+gTlHlyHEcSyPo0rVdtXiVb6aBydKcnZ0JZUhARo9nvahqs4jASWqQ4GBBX61WJc+rrTdy0yQ9gNcCNIZpgr83JbzXGQR43PByuYxOpyNYgClCvUhHjMHTwxTGGpaDNT/w+s4VHYKX3qieZMTiGt+8WUJbUC1yenp6pRPf/F9XPvBx88T3D3zcGPgDHzcG/sDHjYE/8HFj4A983Bj4Ax//F+Cso97VnZAhAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 54\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 55\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 56\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 57\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 58\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 59\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 60\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 61\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 62\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 63\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 66\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 67\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 68\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 69\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 70\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 71\n" + ] + }, + { + "data": { + "image/png": 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au91G0zS4vr7eAW/ayGhQSZLs1ONJkoiyDllEp9p767pGmqY7NSfDMSc6xuMxxuMxZrMZhsMhkiSB7/vSRNBAzHEcFEUhe2fYXSwWyPMclmVhNBrtEBusuznhQk6ABkedPJiq5LwxAQJRJjfAVuH+odmJCYIAWZZhPp9jPp8Lc+V5HtI0lW4NEfPNzQ2Wy+XOXNJisRAEr+eRWF9yfkrTilTMoTk4jmMxVgqPeVlThWVZSiPi3bt3mEwmSNNUosnt7a1452g0QhzHkmc9zxMyhCE7yzK8ffsWNzc3sCwL0+lU8j8ACdd0IA4I7A8WPJjooJWRAmSTW+dSlidsIY7HY2RZBt/3MRgMUJYlvv32W7x9+xbz+Rz9fh8nJycYDAaSx1utFpIkEc+vqkqaDI7jYDabwTRNIVcIupgqGKbZdiyKQp59yNL0KXu5uiykMdGQF4sFxuMxVqsVLMvC+fm5pKHvvvsOFxcXuL6+RhzH8DxPGhAs38iEcSaraRppwozHY0ld3W5XDJulFPepQ/ld614FU4hpmsLzPAE9BDtULg++XC7hOA56vR6Gw6E0yG9ubjAajTAejzEajQQd87BFUWA2m2G5XML3fYRhCNu2EYYhqqrCbDZDXdc7M10ABE3rER0K8tDFXM3WHUsUPc1CD6JS2PCPogjn5+eSikajEbIsEwp1u93i5uYGs9lMPJMYg8zW8fExPM9Dt9tFHMcYj8fSEyfnzvRGcKdr7wfXwfRgXTrsgyOGWoZJwzCEeGfB3u/3pd3HwbokSXauvNAq2Zzg+wlEONi3WCx2eF/NjGl27WMWm+4kIThcp+t2Kni1WkmDpdvtotfrodPpCAv34sULpGmK8XiM5XIpJAzrbKYNXgMKgkCYKpZJWZZhPB4jz3MEQSB89v6VHz308CAF84EEVbS4drst5D8VzHAxHA5xfHws0wibzQZRFOHLL7+E67pSUjDHkpigZzJk891sIRLkcMSUB6dS+Of+bNQhi2GeRI6et9KdJD1GS/6YU5P09CiK8NVXX6HX6+Hm5gbT6XSn3GQFEYah7JPdJ3bh2NQpigL9fl9S0j5RopnGBylY5yRyyZzSIDAiCmy32xKujo+PYdu2CKzVauHk5ERC7u3tLebzuXgCgQhrYE2/MdR1Oh3x+PF4LB0X1sf8vAYch3qyrg5ocIwoJDE4EswhuX6/j+FwCN/3pTIA3jtFr9cTyjGKIkynU9ze3opRk7HSe2S5w+7ddDrFZDIRdo9n05fgdOPmQQrmABqb7kTBVBrDNPlbdpnyPJdNsGygxesWGgD57D7fzfqP9TYJes5A8dn0dApYM1mHTlUy7+oQr89HDwYgNKK+naG9k3U0W5AEoQRpbGfSkNklojNQlr1eD0VR7OAAGsJ9xMfBCl6tVjuD2+ScNcHBEVfWkAQZHEfhBgmEbNsWhO267o5wNCGvBUPL5fsJaPjFte/5hyqYlCS9iArXZInmpnkRgO/TI0iO4+yQJK7rigxpKKzpSYbQmDlBw7qZc1v7fQBdzt237lQwCQB9F5gv0rPRRHWsFSeTCWaz2c5sMZEtlTUcDuF5ngx0Ew3zqspisRA0yilMMl2+78vdnv3GBr8+RsFUEo2W5+VMGMM28GHGm+xZVVUIw1Dm0SgbMmqcguSel8ulTJAul0shMOg4BFrtdltah0Ts9GR9Pp2LP1rBZVliuVzKBmnFrIk5JMcDAx8Aw2KxwNu3b4UJo3JarZYom0pliRXHsTQb5vM5er2ejN5wRIajNWStNPrl0i3JQxWsbwTyGZZlSblGYKkZtHfv3uHVq1cyqgNAHAKA5E89o8VKoGkaTCYT3NzcSE5nbub8mx6U0D1gYqNDzndviGZXRxPf5GV5Q4GeSD6ZiojjGK9fv8bV1RUA7FyPpKFQMUVRyMB6FEV4+fIlXr58KZQl8zgjBnMvwd7R0dHOHj/Gg/VFNf4s0TKjRxiGcnOCXpOmKa6vrwG8xytZlqHf70s5qFt+VMhyucRsNpO7TaZp4vz8XIgfKtiyLJl5+7FF3KGN8qMVPBqN8MUXX2C5XKJpGkRRJDmCYYXQnpOOJENM08TJyYnMMC8WC/EA27YFvDD/EmnrUoXPBXYvZHNOua5rrFYrvHnzBk3T4Pj4+AdKPmSx38owyNqS6JgRjACRXEC73cY333yDJEkwmUxwcXGxMyrEKQ3mXZ6Z/e5OpyOzzQRtmhcgZftjTX0i/fvWnQqezWb4zW9+A9M0hRNmjqL3JEki+Vgrl9a1Xq9ldosDeE3TYLVaCUpmHZplmdzsY/Ndd3P4Jw+eZRnevXuHxWIh7Bg9/pCJQ64kSaSJQQTP99HL+FwqNgxDUX6/38cvf/lLfP7553IZLU1TCavMyXVd4+joSMAlGwW6JUrj5AyaBrV60THuq/Xv7SaZponT01P8+c9/xmq1kocy15IjJormJoHd+pKMGHO1HigHPuRNPcWoLVd3oPj+yWSC8XiM9XqNxWIh3DA96FAumkoJgmBneIHlGO8zE+DRmIn8Gc55o0PfROBdY3ouweF8PsdisRB6lMQKU6D2Xi4dkg8uAe/6JhFet9vFyckJRqOR3JEhgGA+piI1k6SHxtI0xWw2E15Vd4xY7mg6T88M66kKgqssy/D69WtMp1NEUYSqqnB1dYXtdit3gg4FWXowQF9P5T5I7jBMM6poIbPOnc/nOyM3vBifZZk4Ac9F8LVP0uiBeaJ7ylM72P+5H0zPI7/M0oVASt/4Yx7TVCOVor2Yv7aAB9NKpneSw9YGxBKMn8/zHLPZTKLAdruVZke325VL54cqmO8jwaHLJgpfl0paqOxjcyiO95o2m430qtk42J+45HP4TD3/rcM2P8/97Q/7PUjBVJ5hfLh7Q46UrSyGFCqZZQwPrpkmPeVAxRBJaxSrR100cmerjD3l/aKfoXk6nUpX65C1WCxEmETUNFRNvtCImVspH4ZNPQzBvnCSJIIn9keHyWRxAkVPb2gD0rXvvmHdl4YOuuHPSQpeKBuPx3JIDonRirRCNT9LAoJghUKgFTPn6iY7Fcjcxa4WaUDP86QTpCk8sk365sRdi5w6ha1nqjSlSCWu12vJwVTY/v0olk16zIZ75Of1L1sDdn/LAfkCDRjJJn5MLr5TwbZtYzAYiNV0Oh2cn59Ly49WHoahvIxWtn+dhNdIuWGCIQIv0zSFCNEX3pjbOD6qZ5j0ojHp6cVDxkqB93mXAJIK1swbcQMFTLKD+9Q0JxVDBXByg4qmzJintUHX9fvf4sPa+he/+MV7JambijQETe48uJs0GAzk/isnKfv9Ps7OzlBVFSaTiYRcWjq5WODDnR+yQFS2biTocEQL1+Q6AQfzJMsTfl93VujxfNehSDMMQ2lFapKEveh9pgzYvSinQzUrCbZKtTKYf5kO9G1DYpTb21uRa13XgiWIe3hG4pf7GK07FUz+Vy/++oW6rnFxcYE3b97IHDN/VQHz6P7tdoY31sEcrtP3hMlUsZYkKwS8Jw50qNSUpG7Q0+gO9WD+BoLVaoXZbCY9cJ6FfWcaKC+/08j0GJMeiWUrkfw6IxH35TiOTImygXF1dSXGzIE+thD5O7hIADG6PBhkHR0diYfo0MsLzLTIq6srpGmKsiwxHA7R6/UECZum+QPFMMzRe/fzHb2Iv9aIl8jb7bZ4SpIkOx0breCPnepg3UrlLBYLAXSsj3lbEviAmoH3kYPK1LcPCTo5JJHnufy8RtLk3tfrNSaTCUajEcqyRBAEAD6MJHHmzXVdRFEk94OJBR6kYH2LjQLgIBxv6xPMsGhni4+35ei5+pexcHhN//4rKonfT5IEy+VSrFkjczYzeJNA53saI43rkNXtdkW5AGTU5vLyEmmaYjAYoNvtyjAgP6cH4hmpGDqBD+mDxqz7vcQj9L7lconr62th1YAPxAa9nmGbzZkwDOXrQQrWdRcRHsEH21+dTkdKgjRNcXV1tXPZjLNaBC+s82i1VBiVw1nhsiyFmeLdXV2OvX37dgfNaiSqa+hDllaaVgi9KssyGRUqy1J+KQtlwJ41L5IzFelffcx2IssrYgWG8NFohMvLS2EFdY2rwSsNh+TJdDr9QRrV6/n/uvLE1/NvfH/i61nBT3w9K/iJr2cFP/H1rOAnvp4V/MTXfwO/eAG+36BHRQAAAABJRU5ErkJggg==\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 72\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 74\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 75\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 76\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 77\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 78\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 79\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 82\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 83\n" + ] + }, + { + "data": { + "image/png": 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+nxegRqaKMYjukLQe05vzLF6fJT8qWS6XEyDJqhGrZvl8XqhSxlUCOx4++XgqMYVKKpOfo0Kbpinfr9Kxqru3LEvum0WeC3PRFK5av9V1XQRPLpkFBFogP8ebo8C4eEPML6k8RKP8e9ZgCWZoFZlMBlEUwTRN4Wp5b/QELEmeZ/HeX/4clZMImvsjwgUgVS2WBXlWL/P4rAzR25DhozApuM1mg2w2i81mI94on88jm80CeFGu5Vmo3vVCAlZvUt0o81BaNRWAVBoFyM0z/ui6LvHOsqwzxXAiaipRKpUSS2bVidahLpYP+XlVac6z1DyWwuP3qvxxLpcThed7vFeeDbEEiwNE4fyeKIrkdXoKGgoFTU9EoVNxaeH8mQrxqvVKAatlNN64WjtVD5gxkAdC7VStHYDUflVr48/cJDelXlu1TPXQuUEeMDfNwzzPYlmO96juj96E95EkiQiM1sviPgBRVNaj+Z7KxvGzBIRUSgIzGop6dkmSnDECyofVuP9onStN4g2pmktXph48D4QWTQ2N4xiz2UzyWs/z5KYoGNVSVSuiFyCrQ8tUFYBWr8buKIrOTXRQSXhNVZm5uEe1CE/PQfTN62w2G9i2LffL6zEFU5sWaPW0aMZdKgvjLt08YzY5+m8kYDXQqxehoNWYRRen/kwBkHrM5/PiBomceR1aBuOuGlfYLKACM1onfyb65efIGZ93qTVn3jf/fRlDUAH5Hq1OTY3iOMZ8PpewRCuOogjr9VoUhfsn+FKNJgxDUSaekWVZsCxLZMOGiAsLmAd6Zt7ly5ugu6CFMS1QXftisRAEScGR4qNFFItFlEol6cPyfV82TFRJwfHwqAhqPFatjPnseRa91FfFbVVpgbOejEstqOTzeWHhptMparWa/G06nRb2ab1eS8eMWh9Ww4zaiqOifLp5uu0LC5gXUF0zXwcgrunlOEu3FAQB5vO58KusrHQ6HaHtkiSRChIrKOSAS6WSoOUwDAU9AxCrUcERD4YWfV6Q9VWhh3tVhcvv5XVZhWL3J/eyXC6lRp3NZsULfv/735diiOd5GI/HKBQKEodVZaLrpefg/gggySsQ03wjARO9qe6Ch0G3ycUDJinv+z4sy0K325WD73Q6mE6n0r3A6xiGgXa7LQwO8z9VyeTGv/Qa6n0CLyz866BoukQVIb/8efV1/hsEARaLBXzfRy6Xw2KxEKbt+fPnUhN3HEeEMZvN5LO+70s8ZZZBz0Whql2kqiLzekwnLyTgzWYjCJKHxy+jVlOT1FyWGkoSHQD+/Oc/4+joCB988AGWyyU6nY5QmJ7nYTAYoFQqCeHBpjmV/GCeqaJn/ssuEcZ8KtN5lhp/1T2r4UYNO0mSSElyOBwKbfr5559je3sbAHB4eIjhcIhisSil0U6ng1QqJYWXxWIhzBhzXjUNJTFC18z/2IBHtoutQV9bwGRx1LyXB/yyq+KXs/o0m82wWCxQKpUwn8/R7/fR7/cRxzGq1aoc1nq9RpKctsx0u11sbW0JJ9toNM6UC7/qANTQwW4LluVelyNyvUysEOxQibk33jOtlCGn2Wzi4OAAv/vd72AYBn71q1/BcRw8efJE8uEgCITqfPDgAQzDwGg0QrVaPQM+6RnJ9qmKF8cvujNZgCHQupCASZJTa1WmSY1xfI+IjnVccskA8Mtf/hIHBwcIggCr1QqZTAaz2Qy2baPVauH9999Hv98XAr1YLMqhsm2Whw+86I+mABjDef3ztuvwWlQadcJB3R/fJx05m80EKNECuVfP81AsFiWMsDbO2Fyv15HJZDAej+G6Lur1uiBwlSVT7+HlcMRiBHu8LiTg8XiMVqslKY2aAqiHS8vlhILv+8hkMlKUD8MQW1tb0g3R7XYxm80wHo8lB2QtVtM0FAoFFAoFccWMNSpNqMZMKiJjNePxealKfl7Nv1UiRkXn7DSJ41ia8SzLQqPRwE9/+lMkSYJerwff91EulzEYDDCbzVAul/Gzn/1MKlLkntmQR0V42Wi+StGYAvL3C9eDT05OUCwWhcCndqud9uy7YtxdrVbC4hSLRamf7u3tYTAYSD/TYrGQv6tUKmcKFg8fPkSj0RDUrKJiMkAULjv7yYnzsGjN51mz2UzIf5WRU4kPljbZUsTUjvfCJofBYID5fI5er4fJZCK12s1mg9lshkqlImXU3d1dOSMKTlUuFezxnC3LEoHyXC6cJo1GI9RqNZRKJdRqNYkDXHRZ1GrGbNZJoyjCeDzG559/jkePHgmQYP8zKzb5fB7T6RSe58HzPEynU2xtbQlro3oJpglcFDoAyUX599Pp9FwCJnhTLUW1fioMvQkLALw3NvY/e/ZMUDKVwrKsM8V513WRy+Xwve99T1pzyblTYK/COMAL9o/h6MJp0t7eHprNJorF4hmeWCXneWNkoWhhnufh+PgY3W4Xn332GebzuTQB8EZLpZIABsuysFwusV6vcXR0JClTvV5HLpc7U9EiICHdR8aHc1HsGz4v0cF6bBzH0guuhiC6T3WagoDOcRwcHR3hiy++QLfblevxjGjZbCGip2s2m9jZ2RGiiOkmFUOd0GT4oUuntWuahvl8Dtu2LybgR48eSd8utUZtQ2GdlIfKGLlcLnF0dIRerwfbts8QCMCpRl67dg03b97Es2fPYJomPM+TbgXHcXB4eAjbttFut9FsNmVEVM2HCYaYQ9KC2aP8qvRBXRwgY96t0qKsYwMvqla+78NxHOzv78v4zrNnzwR0AadewXVdtFotrFYr5PN5WJYFx3EQRRF6vZ6M5mxtbQnmoPBYf1ZZqziOpSPV930sFgvYtn1xC6Z2uK4rsYOEBIVLXlUFPAcHB+h2u7IZNrGTertz5w7u3LmDOI5RLBalDTWfz0uHJFtpSXeGYYharSbWTIsjLuDfqPzzq8CHuhaLhUwlMoxQidTqEHBKS45GIzx//hxHR0fSPMjYSCFpmoZarYbr169Le06SJGg0GoKo9/b2YNs2ZrMZtre3sbW1JbTsy40MrIero7Yc47lwDDZNE6PRCNPpFK1WSwAAN6ECEvYUPX36VCbywjBEsVhEPp/HycmJHECpVBJXw7i2Wq0kvSGw4yQeXS+1vVQqyXfT2vgzrXe5XJ67XEiQRRCj1rF52HF82lu1v7+P/f19mWyg5yoWi7I3Xddx7do1vPfee0in0+j3+xiNRuKO6SU4jUlWK0kS1Ot1lMvlM9Uwgj9Wj16el75wmlSr1cQKJ5OJDFlxjpVCJovU7XbxxRdfYDabnRk+49gjqyHT6VQQNacDWJQATt0bh7mZU89mszOFdLbyME4RhHDCT52aeN1ieY9YY71ef2UrTqfTwSeffIJ+vy8KZpqmgCjOYkVRhEKhIAwXhUVSJ5/PC/LnmKyahqlN8WqThZqPsy+bwPZCAuZ03mKxEOKBj0lQH1VA6m44HJ7R1EqlAtu2cXx8jOPjY0kxbty4gXw+j8lkIvGJ6VMURXAcRyi9xWIhDQK9Xg/FYvHMyAyVhCheBUTnFfB4PIZpmshkMmesQU2VGHoODw8BnPaQsUes1WpJPGT3Y6FQEO651+thPp9jsVhI8xxDAgCJ4+SyqTwEc0w1VSqY12OP2oUEPBqN0Gg0MBgMUK1Wz0wbEu5zFCWKIgwGAyEkSMQ/f/4c4/EY0+kUlUoF2WwWDx8+FCAxn89x7949ZDIZrNdrfP7553IwjMFsovc8D/1+H+12G9VqFZvNRoiVIAiwXC5lwkCd/HvdIlAEXnDbaqWK0/lU0q2tLRmQOzo6QqfTQbfbxf7+PsbjsTTB+74vA97z+VzGV1hJKxaLsCwLtm1LnXcwGMjQG7EI96daLCcmyEdfSMAnJydIpVIyV8RUCHhRKmOsZfzi+Ea325U0gmW/H/3oR7h58yZ+/vOfY29vD41GA0dHR3j//fdlWr5QKODx48fignRdl8NkqGB8VcdC1ISfP5/Xgjk/pLpIAFLOVD1CpVKBruuYTCY4PDwUL3R0dIR+vw/f9/GTn/wEpmnCdV04jiO8QCqVkh7mJEmk64M9Woyz/X5fDIoeLQxDORPgtI2XIzQXjsGMfcPhUASqaacDXhxhIZtEJElAwA5913WxtbWF8XiMe/fu4e7du9LAXqvV0Gg0cPv2bWnnoVY3Gg35+1qtJk3uvCeCDR48hUAXDbxowXndYrmP1kDKkGkhr1er1TCfz888zcAwDDQajTO9Vr/4xS8Eba/Xa5lkYMMdh+qIYZrNpgiYZdb5fI5arXamtEgEzYyFxM+FXTSnBInaWL3gXBJrtnQR+XxehsBbrRY++OADjMdjQYi9Xk/A0nQ6RTqdhuM4ePr0qaDNTz/9FMViEXfv3kW73ZaOCMdx5LBYWFBdFb0Le7A5EXCeRXDEtMS2bWk+5yhnHMcyW6XrOm7fvi3zz8ApMGR6OBqNBCvcuXNHMo0oimQmSe0QoXWqw+JsDKBrVttzdF0/M3j2Ks79tfVgAijbtpHP56UUx3lYWgxzR87N3LhxA9VqVVzIrVu3cHR0hNVqhS+++EJadThYxumIO3fuCIhi/hyGIZrNJlzXlcKHGjN1XUculxP3xRzxvDF4tVrBcRzU63XJ7TmxQeDFs+D4yO7uLjKZjMxFl8tl5PN5XL9+XbiDzWYjI5+0Ns4cEx2T2NF1XdA0a8AcT+U5M5QUi0XJPKjoFxIwiwlRFKHT6aDVamEymQhlRvjPEUqOP25vb8uMEZ+EUywWUS6XZbyS46OcH1JHXDjWQlKDhMb29jb29vbgeR4mk4l0FrJ+zHSHgOa8AubUfb1eR6/XQ7PZFLfPJ/2QY89kMjIuoz6wjFMGVE6eC+u6L5c81XZcPsmAAExlzBhfWSNmp6ZhGDg+Pv5maRLj62q1wt7eHt566y0R1Ff16rZaLZimiWq1Ck07HXamu2PVh206TLcYY5gWsKlNBTpcmUwG9Xodw+EQjuPItTiPy1RlOp2+tpXlZQEPBgO0Wi2xStZ42XMVBIEIVh0MJxFTqVQkTDAu0sXSAKjEZMY4zM2CP3Aa54+Pj+U+CGQ3m408AG0+n0uW8I1QNPMuNo8dHh5KDks6jv6fuR8nAKhhk8kEACSdoeUvl0tRIJUR4ixPqVQ6wzlTa9vt9hmKlISIioT5Xedt2SFwOz4+xs2bN8+0qzIUmKYpdVzDMISEoPBppa7rYj6fy74ZLlgiZBsSh+aZ1vHRE7VaDYPBQHrWwjAUPMAOEtd15frEDhcWMC10Op3i8PAQrVbrDGerttJQGADECnkgBGWO46Df7wvIopZTQajRHGkBXlgxARVrsHSRan2UD0J5nWary3EcnJycyOQ8AHnwC4VJheY9UXk4N8T0kKzXZDIRofOZIgSBatcke8j4HQxFJycnZx5DQYwyn88lHqvZw4UEzMWDZRG70WjIDdHiDMOQeMHYkyQJWq2WEOfqwzb5hBp2f9Ct0XKoJPwOIm/HcQR4kXs2DEMOgCW5IAjO3dEBQIgVx3FQqVQENDK0pFIpuX9aHhWXFOl0OhVSZzKZIJVKwXVdyW/5SAt2sJCpYmhaLpfy+AYOm9E7MD9nymTbtrjvV3WPvjYGE4rzZg8ODtBut+U5VNRqHrraHVitVqW0xgNkjkfrU5vUyYhxMa9mvOcjmjhIvtls5PkWfG84HMp7512Md91uF7dv38ZoNEI+nz8zh0uFZqsrmSiSHqRM6aWo0CwYkMWiMpJqJQWZJIk8D4uAEXjx5Fs2V/B5oCr//o0EzHYdEujPnz/H7du3BeoTqZL1YdxWabZUKiU5nkqOUKhMc+iauXl6AnX4jAicFRcCm/F4jH6/L17hdfmhulinZdWHpVG13s14C0C4eDb+5fN5jMdj8R4MXezwJDXZaDSkZkyPU6lUJFPhk/tUD8gzMgxDXL86EA+8uvfs6v+6csnX1RPfL/m6EvAlX1cCvuTrSsCXfF0J+JKvKwFf8vX/AJS7fd2J/WJzAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 84\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 85\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 86\n" + ] + }, + { + "data": { + "image/png": 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Un2EjAFJT5i/DtixLaX/q9LYqYnB0raoKL1++xJdffonpdCpeXQWtPiB4IuDcEWVlJlPjE80U/V+/fi3UlFHQ6/Xg+34LlHqtsixbTz0RSK/XQ6fTgeu6iKJINiLu3buHx48ft1QglU2u7pkd5f33/wvpvB3vgZ+34z3w83acW+D/B9VtwOvY6gmSAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 87\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 88\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 89\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 90\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 92\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 93\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 94\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 95\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 96\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 97\n" + ] + }, + { + "data": { + "image/png": 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x5cW8OI51sjIYDIjjWOtvkxpLdSi8/0m1/UTA5WDNZlPZ1P7+Pg8ePGB/f59Wq6Uv9cgB+/2+0lxzevpbwwehsEJg5vO59tXn8zmXL18mjuOVJqVkEnEX4RASKEXQpwZuTjvEb2Vi2Ww2lZJWVaUsrSxLDg8PCYKAZrO5QnbknRqzNSyRO01T8jxXRgjw3XffsbOzoxnCfB1MensythJC9KcQGHMDMSdpKfV6PZrNJq1Wi8PDQ6bTKVEUaXlZ17WSF8n5tm1zdHS0Mog0ub50WrMs4/r161y6dImDgwNVgrieWKC8fGC+XW3WEo/FdlIQ+P+6ntv/ofAC+PO2XgB/3tZzC/x/AVrkIO2EAsciAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 99\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 100\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 101\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 102\n" + ] + }, + { + "data": { + "image/png": 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9Fw8ePBA+mZQqmzMApAwigdJoNKQkZIMiiiKYpombN29iY2MD5XL5cgre3t6W/iTzJenLer0unjebzeB5HobDoYAgomlaKt+DcN9xHKysrIg3x3GMXC6HRqMhBEGj0cD6+rrwrWqbkO/LTkuapvA8D+PxGLVaDaZpSunxslWtVvHJJ5+gWq2KIvm+lmWhXq9L7akCIxofaVH+DlMXvY8cQbPZlHqW710qlSTU06DVNmI+nwfwvFYn4URen/zCpRScZZmADH4IG+98jYW8YRjSm+TPCJxI0NPKgyDAzs4OTNMEgKXCnmUAjYFRQO0Js3tDY+OeWE4xpF90BUGAzc1NoRwty5L2Ho2Vn8/vC4WCEA/0KhorOz1UNhXAfY9GI9i2jfl8LumFCqTRqMQQAJGPn7e+vi4on0bwygr2PA9ra2vwfR9BEKBWq0nuY0eH/1Yb4vQAKnk+nwtlOZ/PpaVHA+AGSWQ4joNutysI1PO8pTxD7pVImwZFz2C+LJVKF1IwjbNWq8H3fWiaBt/3MRqNxJDYrqRs6hQGjYHtS+IEGi6pTHbQvvnmG2kg8Lx4fmxFLhYLOV/mfHIOHCpwXRe1Wu3cauFcBTOn0ouzLJP6kOGDr9NjOP3AjasTC4PBAPV6HWtra+L1DLdUmG3bWF9fx+npKTqdDlZWViSsAxBhX2wHMo/XajUBNeeBD3Xt7u7i5OREqNFcLofRaCQg7sWoBWBpT2Tper0e4jjG3t6eeB8jkmEYsCwLGxsbcF0Xh4eHMAwDGxsbMtgAPPdU1ZuJmvn5pmliMpnA931sb2/Ddd1/UrZzk1ShUIDruigWi0iSBP1+X7yJ81NqfqbiSRky9zD06bqOzc3NpbzMDfM1wzBg2za2trag6zra7Tam06kgc9a3aq1M5dKoVM76IqtcLmNlZUVqclKj6uwYDYo5NI5jBEGAIAgQxzEmkwkODw9RLBZhWZaUl2pPnVGs1WpB13U8efJEzowkCr8ni6h+z2ZLkiSYz+doNBrY2toSZu3b1rkefO3aNWlr1Wo1zOdzsUrWruoIigr1GfLK5TIeP36M9fV1bG5uol6vy/AcO0YESQCk1LFtG++++640Lci5smziUjsxVDZxwe3bty+k4K+//hoffPCBTI6wHCJaZt5TwybLQlKQT58+xWKxkME94pUXowgbGFtbW/jmm29wcHCAnZ0d2LYt50dlqjNsjJIErs1mEzdu3BDm71IKJuHQ6XSgadrS9AXrX7Vtx3CkaRrK5TKKxSKOjo6g6zpu374tyuHwwHw+XxoYo7UOh0MMBgNkWYadnR2kaYr79+9jOByi0Wgsja0Az/M+DYA89UWJDs/z8OWXX+L69etCVRIj0GNpgPRKlojdbhfdbheDwQAffPABWq2WeFgURRiPx0t9Xubwzc1NGIaBg4MDPHr0CLu7u9I+VdMdlUqjB86MuFKpCBdx6ZGdxWIhZYLrunj27JkAIbbCiC452UCCgKFuNBrh008/xWw2w3g8llxFIsM0TfFO9p7Z8mM4ZvN8f38f7XZb6l56P4Cl6U4A4vUXWRzXuXfvHh49erRU5jDXMrIwF7InO5lMMBwOUavVsLe3h1wuh+FwKPvhaDD5azYsAGBtbQ2LxQL7+/t49OiRECB0GjUCEKETA3meBwBSE19KwaxNHceBruvodrtot9sygUAgwXyrdpc4YQkA7XZb8tpoNEKn00G/30ez2US9Xke32xUa0PM8nJycyFSk67poNBpSRtCIxuMxCoXC0kAAAKFT2du9yIqiSBgqslf9fl8MiPmU/WpOZ9AzDcPA9vY2gDPu/OTkBIZhYDKZYH19XVByr9fD0dGRkEQbGxswTRPNZhNxHMvrnD1XSyR+DiMowaA60PjKCmaXBoA0o9UR0G8bo+VBM1dUKhXM53M8efIEw+FQ2m2j0QiWZcncEtFxHMfodrs4OTkBAIzHY7RaLekWsS4lzVcul5fKCC5Gh4ssGiUH9lQsQSNl6uGIEetex3Fw/fp12LaNR48e4eDgAHfv3oWmaXj//ffRarVkHnowGODx48d48uQJGo0Gbt26hWazKanQdV0xnBdJGg4cvjhz/f+kYFoJP4BFNZVnmqbUciT6uRFypa1WC6VSCb1eT6Yxa7UaVlZWYJomgiBAv9+XCFAul2FZFjY3N2XggEpll4U9atJ9rKOpAJYcF/Vg7oNNEWIJtc5lRcBmA3Niq9VCq9WSRn+v11sKw57nSdswDEMcHR1JB4ngiHy2ZVkyRM9czJKJe1NzOfd2Xr1/roI5BajO9tq2vUR4q0U6WZ5SqYR6vY5Wq4VarYY4jnH9+vWlwTEqi1Qn0WsURTK3Ra9hKGIZVSqVMJvN4LouTNNEo9EQKyahn8/nLzxVyfzPHnKhUJA98SB5uNxHrVZDs9lEtVoVQ6OhM+IAkPYhb4FsbGxIl4rYhWCTTkPFqowgWTCmo4uOBL+UqvR9X2jExWIhdZ36gZzGZ1isVCpYXV2V3ipJ85s3b2I+n0tNyTbaYrFYoi3VmSv1ugpHdE3ThGVZGA6HePr0qVg/Uwfffzi82CMwCBw5jst8y5kyAAKwHMeBZVloNBpwHEdAV6FQwNbWFk5OTmQeOkkSmeIAIJ0q8gqUl2lPnccCIPKyTCLfoBp7mqbnVgsvVTDfmFZDXpiLU4bT6VSmJtkoZ84AzryE/WGGvNFoJJ4MPOdqKTA9Sp354mFzVqzdbmNjY0OiCdmfIAjQbrcvpGDWziQ1SEiwlmXotCxLqFSSGWSpSOJ8+umnckuCyPn4+BhxHEvPl+wd051qaCwlyRGQElUrFRoGI8Z5cp6rYDWpU1GczODi3DKn+zjJTwFp+QytDPm6rqNWqyGKInieJyUAPZBlDoGcek+JeahcLi/dblQ7N67rXljBPPBSqSQNAJaAlIstT9bg6m1HnkehUMD29rbMZMVxLOfBqQ+mDtbKJE4oA6Mj053aYQIgTRjqha3aSylY/UB2N+hRzL3j8VgQLZXJoW16gXpxql6vi1JUz0ySBOPxWFqO9HSVg1bzIAA5+HK5jFKpJEP1bLpfdGRHTRNMIZyNLhQKcBxHWDn1Goq6N35PL6Pc+XwezWZTDFS920XvZVeM5RAnQ4ln+P6kgcn8sWS7NIqm9XADtm0vDZIxpNXrdcnT3IxKuxFVqyCGfDIAMQbWogz56mA5e60q0+M4jjT2i8WijLcCEAO5qILVsMk9EVHTmykzz0S9r6Ui3vl8LmVlmp5dAV1ZWUEcx3BdV37OVAMsd93y+bzQwDwTtb/Ov0nTVHDMpRTMtpgaPnjARL2WZWFlZQWz2Uy+OB/MgXl6Pw1A5WpZe9q2jSiKpJxSB8t5gTyKIpmB2tnZkYigUngMgWwWXGSpHsnwp4Zn5lp2jXgm9ELVO4HniJuTLTw3GiG5ZgBLIZjGoToPPZbpioQQhwzYH7iUghnvAUi4VdGzaZpYX19Ho9HAeDyG67r44osvZD6ZiNC27aWpCF7tYKimB9i2LfeTeNCmaaLb7crNAta6169fF06Wg2s0Po7XXnSig6mAQEj1pGKxKJGItCzPg4iWXAEVx/+SkFGJINM04TiOgCZ1cIFn/qLRkSMgylanSl7WFn0piuYH8QOY7KkoctKcRHRdF0dHR9KCazQaWFtbw97eHuI4xsrKCsrlMvb39wVtP3r0SG4jxHGMo6Mj6a6wic59sJPCUqNSqUgXCDjzHt56vGi7MAxD4bbV4T2GYbXWJ5Ajv6xSs/x9nh2VqyqKZSb3y8W0o86g8XV6uGoE7Am/+D6vpGDWgeqoitqaUx+7kMvlsLOzg88++wyff/65TEZwsvDDDz+Uwe1ms4m7d++iXq+j0Wjgq6++gu/72N3dhed5aDQaMjIaBIEokdTm7du3JbJYliVoEoB0cFRDfNlSAQ8JCTXPqo0MVhQMjVQivVG9EEcUrBoMa/okSWS8l4whAS2ZLHXAD8BSBNF1HaPRSPL0pRT8Yi+UB0EB1HoVOEO1v/nNb9BoNHD37l08ffpUBJlMJrAsC4eHh3J9gwJtbW0hTVOhIQ3DwGAwkCG6Xq8Hy7Lw1ltvyb2hOI4F6ar9U/XxDhcFWSoyp0J5sPy3OlFBo1AbEFEUwfd9qW2Z0kqlkgAj1udBEGAwGGA0GmE8HgvBommaAEeWVMQUaleKiJo3SS49skP3V3uhVLA6l6R6cqlUwscff4zd3V08ePAAh4eH+Pzzz5GmKVZXV7G/vy+c9jvvvCOThrRghvjT01PppQLAhx9+iGvXrskkplpaBEEgCu52u5hOp680dEfFkjakzDxM0oc8SDVKsHXI8VqVwuUZVatVIWPY8mR3jdUGWUIaMrl6TdMkWqh3o33fx2QyeSnOeKmC6QWsffkMCra1eNgMmVQWb9tvbGzIfFOWZfj0008RRREODw/x9OlTHB4eLk0qkm6s1Wri0cViUeaPSWnyM9W2ZBiG0ri4KMBS9zwej2UahO054HkqUs9lOp2i1+thPB4LHcm7yQCWSiDDMOQCAAGgmuYIFEntsioghlAfREMsRL5AzfuXUrAqqFpkq5OShO0qqCCi5eMLaBzb29vY3d3F119/jW63uzRaS4E5NMAczLlh0qTkbbkXCuq6rjwfC8CFQzTz2GAw+NbSh4wcp0gYSsl/q43409NTeJ4nHS9elQXOHvbCSKXe9iADyGuo5A2IttUWInXBKRumukspmM/WoLewjFC7KiQpeOjMWQxt7K/yOsfdu3fRbrdhGM8fv8DRzxcnC/n+bM29OOFAuo/4oNPpLF2OvmgdTK8wTXPpnpA66M8LcMz9lI9GximWra2z/9kKjZRYgkqnYRI/8CY/SSTuhZfriJRVj+dDXAgGL+3BQRAsPSeLz9kg4ODFMiqBBws8D+/qfBaHvRlyiCrVEoTThRSG1kykyPcnKc8SajweYzAYyO+ogOgiizPLh4eHIo/a+crlcqjVahKV6L0sodRHPdDoGG7Z/SLSZ0VAXpuGTOTN0R315qVKV3Y6HYmgVPKlFKw+A0udIlDHU+lFFJRWrjYpiCLVaQxuWiXdyUlTSRSAgjNXc3RFpUN7vZ6M5r5YXrxsESw1m0202+0l0MfZq8ViISFWvYHBz6GCOerKZ3iodSpHcSiHWnfTyJjr6UxsNQLPHYADiTy/80L0uUiE+UcdiWXpRABBb6HimKv499wY8Pz5k6TlyEeTimS+5aGRHqXSmPP5ZDoq1/M89Hq9JQqQCPYii/V+oVDAxsaGHCD7xACkpFH3RBpVHUxQ23sqZ6/y9CqfruIF0plqn5lycw0GA7iuuzRVeukyyXEcmRAkwqXgXCT1yYsSfKhTGOx4MKypYY9lgBohVPpOzbnMUzxAGsVwOJTHTBB4nEffvbj4fpxr7nQ68DxPblTywTIsSxzHWbrlyGdbAZB5cF3XpcbluBHHetWrPaKI3NkdazXa0eBVI+BNR0YyRs1LKXh9fV02qU4QMP5zI1Q+GSUeApvoBF+5XE4esUDwoIbnFwkGlY+1LEsG7FSPn81m6PV6/1eoehUmi5/P0NxqtbC/vy8lGaMGyQzeP+K1UQ7Jq8COoJAVAlONClDp3bnc2Z1mXnc9PT0VZM5IwHOkM6g94/PwxrkK5lgrIbmqZIYa5hwVKKihRQUSDOW0YgIIhjBuVAUpVLRt23IxW9M0ubLqui5Go5EoVaUVL0p2cG/cA3MxnyQEYKkdmiQJnj17hslkgrW1taUhB+ZdVhA8I0Y6tZ/MFFMsFmX22/d9uSbKcyW9yVkxGvJFjPjq/7ryhq+rJ76/4etKwW/4ulLwG76uFPyGrysFv+HrSsFv+Po/aEF7kRRvdEQAAAAASUVORK5CYII=\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 103\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 104\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 105\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 106\n" + ] + }, + { + "data": { + "image/png": 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IAClUqBU9Jek+r6c+ugVBl2WJLMtweXkppIT+r7+lTGFyjM2XEN7WfQHe/y+kh7feA39o6z3wh7YeLPD/A3NYxuIai+qGAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 107\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 108\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 109\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 110\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 111\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 112\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 113\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 114\n" + ] + }, + { + "data": { + "image/png": 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RhNVqxc8msvVSe2fdl3QoIlEUbZEbEhqJVCyXSx4tfd/Ho0ePMJ1Oeeam+1KfJiCzLAue52E8HqPf7yOKIt5WIlqc5zlHNQxD3h/PsmwL/LrS2AsbTsBDUpFt23BdF3me4+zsbOsVDgAs4JumicuXL0NRFGZlxLBoY4FIC72/QvvqpMsvl0smLTQNbjYb7s2k500mE0Zy4Bfd/6XERr7oib69v7/PrYWGCt/3ua8SKjuOw9MREQyaq+M4huu6KIoCtm3Dtm3OGlEUcXp6ysLHYrHYmvLKskQYhls7JZ7n4cGDB1sdgFjczqjeBTdZljEYDFjhpBm5+xJOV1oOw5DJDU1VRF6696eDhowoiriVxXHMLxDRjgtxB9u2MRgM0Ov1eABSFIWNf+n9ceBxfV27dg29Xg9t22I6nWK1WrGwAICjQMJ/URQsTADglFZVlcdVIjFEgQEwWJGDF4sF/54cYJomHMdBr9fjoYaMp/IkSruT4cSZP/roI3z22WdomgaLxYLbEKmn3ZGV3kDq7lPLsszSEzlAFEXMZjM2iLan6CXCOI4hiiK3RUJrWZbR6/VgmiZPY5SRBMSkCTzveK7hx8fHuHr1KkajEddqkiTsZVEUeZSkSJLnu/N1d16ntyJpV5Q2I+mtqW4WULmQUbSHRveilkXXdF8nffqV0Rcy/IsvvsDHH3+M69ev48KFC+x9yoTVasUL32w2W4uimqc5PkkSfguJZGC6Fyk79LYU7bWTvtd9fcQwDM4QIjiTyWTLObSX97waf/O/kM7b8cbw83a8Mfy8HefW8P8FYMuXtfRaOvoAAAAASUVORK5CYII=\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 116\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 117\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 119\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def plot_faces(faces, labels, n_cols=5):\n", + " faces = faces.reshape(-1, 64, 64)\n", + " n_rows = (len(faces) - 1) // n_cols + 1\n", + " plt.figure(figsize=(n_cols, n_rows * 1.1))\n", + " for index, (face, label) in enumerate(zip(faces, labels)):\n", + " plt.subplot(n_rows, n_cols, index + 1)\n", + " plt.imshow(face, cmap=\"gray\")\n", + " plt.axis(\"off\")\n", + " plt.title(label)\n", + " plt.show()\n", + "\n", + "for cluster_id in np.unique(best_model.labels_):\n", + " print(\"Cluster\", cluster_id)\n", + " in_cluster = best_model.labels_==cluster_id\n", + " faces = X_train[in_cluster]\n", + " labels = y_train[in_cluster]\n", + " plot_faces(faces, labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "fGmzm1zHDRod" + }, + "source": [ + "약 2/3 정도가 쓸모있어 보입니다. 즉 적어도 2개의 사진을 가지고 있고 모두 동일한 사람입니다. 하지만 나머지 클러스터는 다른 사람 얼굴이 하나 이상 있거나 하나의 사진만 가지고 있습니다.\n", + "\n", + "이런 방식으로 군집된 이미지는 부정확해서 (아래에서 보겠지만) 모델을 훈련할 때 바로 사용하기 어렵습니다. 하지만 새로운 데이터셋에 이미지를 레이블링할 때는 매우 유용할 수 있습니다. 일반적으로 훨씬 빠르게 레이블을 부여할 수 있습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u3afsk1JDRod" + }, + "source": [ + "## 11. 분류를 위해 군집으로 전처리하기" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "oDtX_TAmDRod" + }, + "source": [ + "*문제: 올리베티 얼굴 데이터셋으로 계속해보겠습니다. 사진에 나타난 사람을 예측하는 분류기를 훈련하고 검증 세트에서 평가해보세요.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "7FijK5FgDRod", + "outputId": "5a84620a-4fb1-455a-b575-659207065fa9" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.925" + ] + }, + "execution_count": 200, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", + "clf.fit(X_train_pca, y_train)\n", + "clf.score(X_valid_pca, y_valid)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-xW4AGS5DRod" + }, + "source": [ + "*문제: 그다음 k-평균을 차원 축소 도구로 사용하여 축소된 세트에서 분류기를 훈련해보세요.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "US-2Y0IVDRod", + "outputId": "863d6460-39c6-4cd2-8891-352075880fb6" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7" + ] + }, + "execution_count": 201, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_train_reduced = best_model.transform(X_train_pca)\n", + "X_valid_reduced = best_model.transform(X_valid_pca)\n", + "X_test_reduced = best_model.transform(X_test_pca)\n", + "\n", + "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", + "clf.fit(X_train_reduced, y_train)\n", + " \n", + "clf.score(X_valid_reduced, y_valid)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IuZ6mOjGDRod" + }, + "source": [ + "윽! 전혀 좋아지지 않았군요! 클러스터 개수를 튜닝하면 도움이 되는지 알아 보죠." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7ZR1CDrHDRoe" + }, + "source": [ + "*문제: 분류기 성능을 최대로 만드는 클러스터 개수를 찾아보세요. 얼마나 성능이 나오나요?*" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_WSXt_HBDRoe" + }, + "source": [ + "앞에서 처럼 `GridSearchCV`를 사용할 수 있습니다. 하지만 검증 세트가 이미 있기 때문에 K-폴드 교차 검증을 할 필요가 없고 하나의 하이퍼파라미터만 탐색하기 때문에 간단히 직접 반복문을 만들겠습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "382Nn0LpDRoe", + "outputId": "aa8e85d5-9e26-47b1-a349-c167e16387ef" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5 0.3875\n", + "10 0.575\n", + "15 0.6\n", + "20 0.6625\n", + "25 0.6625\n", + "30 0.6625\n", + "35 0.675\n", + "40 0.75\n", + "45 0.7375\n", + "50 0.725\n", + "55 0.7125\n", + "60 0.7125\n", + "65 0.7375\n", + "70 0.7375\n", + "75 0.7375\n", + "80 0.7875\n", + "85 0.7625\n", + "90 0.75\n", + "95 0.7125\n", + "100 0.775\n", + "105 0.75\n", + "110 0.725\n", + "115 0.7625\n", + "120 0.7\n", + "125 0.75\n", + "130 0.725\n", + "135 0.725\n", + "140 0.7625\n", + "145 0.6875\n" + ] + } + ], + "source": [ + "from sklearn.pipeline import Pipeline\n", + "\n", + "for n_clusters in k_range:\n", + " pipeline = Pipeline([\n", + " (\"kmeans\", KMeans(n_clusters=n_clusters, random_state=42)),\n", + " (\"forest_clf\", RandomForestClassifier(n_estimators=150, random_state=42))\n", + " ])\n", + " pipeline.fit(X_train_pca, y_train)\n", + " print(n_clusters, pipeline.score(X_valid_pca, y_valid))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7ql62xwcDRoe" + }, + "source": [ + "클러스터 개수를 튜닝해도 80% 정확도를 넘지 못하는군요. 클러스터 센트로이드까지 거리는 원본 이미지만큼 유용하지 않은 것 같습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zS-9reNSDRoe" + }, + "source": [ + "*문제: 축소된 세트에서 추출한 특성을 원본 특성에 추가하면 어떤가요? (여기에서도 최선의 클러스터 개수를 찾아보세요.)*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lORga8U3DRoe" + }, + "outputs": [], + "source": [ + "X_train_extended = np.c_[X_train_pca, X_train_reduced]\n", + "X_valid_extended = np.c_[X_valid_pca, X_valid_reduced]\n", + "X_test_extended = np.c_[X_test_pca, X_test_reduced]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "zHFnDE4iDRoe", + "outputId": "60d99ddf-48b1-42d2-8c9f-e68d91c98714" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8125" + ] + }, + "execution_count": 204, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", + "clf.fit(X_train_extended, y_train)\n", + "clf.score(X_valid_extended, y_valid)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8jEDqF1hDRoe" + }, + "source": [ + "조금 나아졌네요. 하지만 클러스터 특성이 없는 것이 차라리 낫습니다. 이 경우 클러스터는 분류기를 직접 훈련하는데 도움이 되지 않습니다(하지만 새로운 훈련 샘플을 레이블링하는데는 여전히 도움이 될 수 있습니다)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "syckFiy-DRoe" + }, + "source": [ + "## 12. 올리베티 얼굴 데이터셋을 위한 가우시안 혼합 모델" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "f8oJXYriDRoe" + }, + "source": [ + "*문제: 올리베티 얼굴 데이터셋에서 가우시안 혼합 모델을 훈련해보세요. 알고리즘의 속도를 높이기 위해 데이터셋의 차원을 감소시켜야 할 것입니다(예를 들면 분산의 99%를 유지하면서 PCA를 사용합니다).*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "CWFx_gwbDRoe" + }, + "outputs": [], + "source": [ + "from sklearn.mixture import GaussianMixture\n", + "\n", + "gm = GaussianMixture(n_components=40, random_state=42)\n", + "y_pred = gm.fit_predict(X_train_pca)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "oQNW_sOmDRof" + }, + "source": [ + "*문제: 이 모델을 사용해 (`sample()` 메서드로) 새로운 얼굴을 생성하고 시각화해보세요(PCA를 사용했다면 `inverse_transform()` 메서드를 사용해야 합니다).*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "nMPG5j_EDRof" + }, + "outputs": [], + "source": [ + "n_gen_faces = 20\n", + "gen_faces_reduced, y_gen_faces = gm.sample(n_samples=n_gen_faces)\n", + "gen_faces = pca.inverse_transform(gen_faces_reduced)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "elDGNRWiDRof", + "outputId": "6f2f88fe-1ec5-446b-8552-95c0c39d1c99" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_faces(gen_faces, y_gen_faces)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lmwNttHXDRof" + }, + "source": [ + "*문제: 일부 이미지를 수정해보세요(예를 들면 회전, 뒤집기, 어둡게 하기). 모델이 이상치를 감지하는지 확인해보세요(즉 정상 샘플과 이상치에 대해 `score_samples()` 메서드 출력을 비교해보세요).*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "TcuM2sPeDRof", + "outputId": "35e4a923-e42e-447b-adcb-a6e998223c3d" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "n_rotated = 4\n", + "rotated = np.transpose(X_train[:n_rotated].reshape(-1, 64, 64), axes=[0, 2, 1])\n", + "rotated = rotated.reshape(-1, 64*64)\n", + "y_rotated = y_train[:n_rotated]\n", + "\n", + "n_flipped = 3\n", + "flipped = X_train[:n_flipped].reshape(-1, 64, 64)[:, ::-1]\n", + "flipped = flipped.reshape(-1, 64*64)\n", + "y_flipped = y_train[:n_flipped]\n", + "\n", + "n_darkened = 3\n", + "darkened = X_train[:n_darkened].copy()\n", + "darkened[:, 1:-1] *= 0.3\n", + "y_darkened = y_train[:n_darkened]\n", + "\n", + "X_bad_faces = np.r_[rotated, flipped, darkened]\n", + "y_bad = np.concatenate([y_rotated, y_flipped, y_darkened])\n", + "\n", + "plot_faces(X_bad_faces, y_bad)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "oZ1dqLc9DRof" + }, + "outputs": [], + "source": [ + "X_bad_faces_pca = pca.transform(X_bad_faces)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Bu9fZXneDRof", + "outputId": "f9551937-0a67-4a2f-fec6-cc367bff53c7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-2.43643215e+07, -1.89785007e+07, -3.78112400e+07, -4.98187827e+07,\n", + " -3.20479233e+07, -1.37531167e+07, -2.92374130e+07, -1.05489348e+08,\n", + " -1.19575691e+08, -6.74258528e+07])" + ] + }, + "execution_count": 210, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.score_samples(X_bad_faces_pca)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "yvDSPw8FDRof" + }, + "source": [ + "잘못된 사진은 이 가우시안 혼합 모델에서 등장할 가능성이 매우 낮습니다. 다른 훈련 샘플의 점수와 비교해 보세요:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6FPy86ujDRof", + "outputId": "7d682341-72bf-48ec-fa83-7b0401b6779b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1163.02021 , 1134.03638011, 1156.32132914, 1170.67602799,\n", + " 1141.45404884, 1154.35205159, 1091.32894775, 1111.41149481,\n", + " 1096.4304912 , 1132.98982702])" + ] + }, + "execution_count": 211, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.score_samples(X_train_pca[:10])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "n-JdrzP3DRog" + }, + "source": [ + "## 13. 차원 축소 기법을 사용해 이상치 탐지하기" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VGZX6GEuDRog" + }, + "source": [ + "*문제: 일부 차원 축소 기법은 이상치 탐지를 위해서 사용할 수도 있습니다. 예를 들어 올리베티 얼굴 데이터셋을 PCA를 사용해 분산의 99% 유지하도록 축소해보세요. 그다음 각 이미지의 재구성 오차를 계산합니다. 그다음 이전 연습문제에서 만든 수정된 이미지를 선택해 재구성 오차를 확인해보세요. 재구성 오차가 얼마나 커지는지 확인하세요. 재구성 이미지를 출력해보면 이유를 알 수 있습니다. 정상 얼굴을 재구성하기 때문입니다.*" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Jz9Fcl7tDRog" + }, + "source": [ + "이미 PCA를 사용해 축소된 데이터셋을 가지고 있습니다:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bIh1SoF8DRog", + "outputId": "a98e8041-406d-42dd-b479-c2e805152aa8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 3.78079820e+00, -1.85478783e+00, -5.14404345e+00, ...,\n", + " -1.35626271e-01, -2.14086279e-01, 6.11932427e-02],\n", + " [ 1.01488419e+01, -1.52754605e+00, -7.66981125e-01, ...,\n", + " 1.23930663e-01, -1.35260880e-01, -2.32627261e-02],\n", + " [-1.00152855e+01, 2.87728739e+00, -9.19881105e-01, ...,\n", + " 7.26118162e-02, -2.96031404e-03, 1.24887630e-01],\n", + " ...,\n", + " [ 2.47587585e+00, 2.95596790e+00, 1.29985642e+00, ...,\n", + " -2.09106505e-02, 3.48509997e-02, -1.54325500e-01],\n", + " [-3.22031474e+00, 5.34897757e+00, 1.39427149e+00, ...,\n", + " 5.75551763e-02, -2.28310779e-01, 1.55573860e-01],\n", + " [-9.22876537e-01, -3.64702821e+00, 2.26087856e+00, ...,\n", + " 1.36852771e-01, -6.91269413e-02, 6.26907572e-02]], dtype=float32)" + ] + }, + "execution_count": 212, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_train_pca" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "-g0YlU2SDRog" + }, + "outputs": [], + "source": [ + "def reconstruction_errors(pca, X):\n", + " X_pca = pca.transform(X)\n", + " X_reconstructed = pca.inverse_transform(X_pca)\n", + " mse = np.square(X_reconstructed - X).mean(axis=-1)\n", + " return mse" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "suH8UlTQDRog", + "outputId": "85de12ff-2af6-46a5-e5a6-5a25d271a07b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0001920535" + ] + }, + "execution_count": 214, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reconstruction_errors(pca, X_train).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "fKZOLHPBDRog", + "outputId": "3ea6f749-df9e-4f55-cb8a-f919de9f7a93" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0047073537" + ] + }, + "execution_count": 215, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reconstruction_errors(pca, X_bad_faces).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "z_Od-LALDRog", + "outputId": "901be062-559a-4e41-c529-1dd73a1db0bd" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X_bad_faces_reconstructed = pca.inverse_transform(X_bad_faces_pca)\n", + "plot_faces(X_bad_faces_reconstructed, y_bad)" + ] + } + ], + "metadata": { + "colab": { + "name": "09_unsupervised_learning.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +}