{ "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": 1, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:44.053654Z", "iopub.status.busy": "2021-10-24T05:02:44.052886Z", "iopub.status.idle": "2021-10-24T05:02:44.742670Z", "shell.execute_reply": "2021-10-24T05:02:44.741905Z" }, "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": 2, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:44.747602Z", "iopub.status.busy": "2021-10-24T05:02:44.746853Z", "iopub.status.idle": "2021-10-24T05:02:44.775388Z", "shell.execute_reply": "2021-10-24T05:02:44.774670Z" }, "id": "NK0bWk9dDRny" }, "outputs": [], "source": [ "from sklearn.datasets import load_iris" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:44.781107Z", "iopub.status.busy": "2021-10-24T05:02:44.780165Z", "iopub.status.idle": "2021-10-24T05:02:44.790457Z", "shell.execute_reply": "2021-10-24T05:02:44.790947Z" }, "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": 5, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.389145Z", "iopub.status.busy": "2021-10-24T05:02:45.388505Z", "iopub.status.idle": "2021-10-24T05:02:45.442726Z", "shell.execute_reply": "2021-10-24T05:02:45.441928Z" }, "id": "c4Gx5CEiDRn1" }, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.448915Z", "iopub.status.busy": "2021-10-24T05:02:45.448191Z", "iopub.status.idle": "2021-10-24T05:02:45.464693Z", "shell.execute_reply": "2021-10-24T05:02:45.464069Z" }, "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": 7, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.471816Z", "iopub.status.busy": "2021-10-24T05:02:45.468397Z", "iopub.status.idle": "2021-10-24T05:02:45.479241Z", "shell.execute_reply": "2021-10-24T05:02:45.478564Z" }, "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": 8, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.486081Z", "iopub.status.busy": "2021-10-24T05:02:45.484951Z", "iopub.status.idle": "2021-10-24T05:02:45.488502Z", "shell.execute_reply": "2021-10-24T05:02:45.487584Z" }, "id": "xPPdxkvtDRn2" }, "outputs": [], "source": [ "y_pred = np.array([mapping[cluster_id] for cluster_id in y_pred])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.547677Z", "iopub.status.busy": "2021-10-24T05:02:45.534298Z", "iopub.status.idle": "2021-10-24T05:02:45.643233Z", "shell.execute_reply": "2021-10-24T05:02:45.643729Z" }, "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": 10, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.649544Z", "iopub.status.busy": "2021-10-24T05:02:45.648642Z", "iopub.status.idle": "2021-10-24T05:02:45.652293Z", "shell.execute_reply": "2021-10-24T05:02:45.652732Z" }, "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": 11, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.658417Z", "iopub.status.busy": "2021-10-24T05:02:45.657574Z", "iopub.status.idle": "2021-10-24T05:02:45.661191Z", "shell.execute_reply": "2021-10-24T05:02:45.661634Z" }, "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": 12, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.666951Z", "iopub.status.busy": "2021-10-24T05:02:45.665881Z", "iopub.status.idle": "2021-10-24T05:02:45.668662Z", "shell.execute_reply": "2021-10-24T05:02:45.668022Z" }, "id": "ix5g86PfDRn3" }, "outputs": [], "source": [ "from sklearn.datasets import make_blobs" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.674064Z", "iopub.status.busy": "2021-10-24T05:02:45.673264Z", "iopub.status.idle": "2021-10-24T05:02:45.676239Z", "shell.execute_reply": "2021-10-24T05:02:45.675613Z" }, "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": 14, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.681800Z", "iopub.status.busy": "2021-10-24T05:02:45.681002Z", "iopub.status.idle": "2021-10-24T05:02:45.683796Z", "shell.execute_reply": "2021-10-24T05:02:45.684295Z" }, "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": 15, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.689804Z", "iopub.status.busy": "2021-10-24T05:02:45.689085Z", "iopub.status.idle": "2021-10-24T05:02:45.692049Z", "shell.execute_reply": "2021-10-24T05:02:45.691365Z" }, "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": 16, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:45.715276Z", "iopub.status.busy": "2021-10-24T05:02:45.714450Z", "iopub.status.idle": "2021-10-24T05:02:46.258977Z", "shell.execute_reply": "2021-10-24T05:02:46.259835Z" }, "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": 17, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:46.265664Z", "iopub.status.busy": "2021-10-24T05:02:46.264463Z", "iopub.status.idle": "2021-10-24T05:02:46.268132Z", "shell.execute_reply": "2021-10-24T05:02:46.266998Z" }, "id": "nrOyZDfHDRn5" }, "outputs": [], "source": [ "from sklearn.cluster import KMeans" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:46.273370Z", "iopub.status.busy": "2021-10-24T05:02:46.272567Z", "iopub.status.idle": "2021-10-24T05:02:47.168605Z", "shell.execute_reply": "2021-10-24T05:02:47.169381Z" }, "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": 19, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:47.176050Z", "iopub.status.busy": "2021-10-24T05:02:47.175166Z", "iopub.status.idle": "2021-10-24T05:02:47.179891Z", "shell.execute_reply": "2021-10-24T05:02:47.179128Z" }, "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": 20, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:47.185456Z", "iopub.status.busy": "2021-10-24T05:02:47.184682Z", "iopub.status.idle": "2021-10-24T05:02:47.187904Z", "shell.execute_reply": "2021-10-24T05:02:47.188359Z" }, "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": 21, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:47.194526Z", "iopub.status.busy": "2021-10-24T05:02:47.191552Z", "iopub.status.idle": "2021-10-24T05:02:47.196940Z", "shell.execute_reply": "2021-10-24T05:02:47.197364Z" }, "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": 22, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:47.202194Z", "iopub.status.busy": "2021-10-24T05:02:47.201562Z", "iopub.status.idle": "2021-10-24T05:02:47.204402Z", "shell.execute_reply": "2021-10-24T05:02:47.204817Z" }, "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": 23, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:47.214692Z", "iopub.status.busy": "2021-10-24T05:02:47.209479Z", "iopub.status.idle": "2021-10-24T05:02:47.270760Z", "shell.execute_reply": "2021-10-24T05:02:47.272169Z" }, "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": 24, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:47.279854Z", "iopub.status.busy": "2021-10-24T05:02:47.277693Z", "iopub.status.idle": "2021-10-24T05:02:47.309013Z", "shell.execute_reply": "2021-10-24T05:02:47.310718Z" }, "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": 25, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:47.319091Z", "iopub.status.busy": "2021-10-24T05:02:47.315881Z", "iopub.status.idle": "2021-10-24T05:02:48.219493Z", "shell.execute_reply": "2021-10-24T05:02:48.218730Z" }, "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": 26, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:48.226794Z", "iopub.status.busy": "2021-10-24T05:02:48.226004Z", "iopub.status.idle": "2021-10-24T05:02:48.230841Z", "shell.execute_reply": "2021-10-24T05:02:48.230234Z" }, "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": 27, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:48.237561Z", "iopub.status.busy": "2021-10-24T05:02:48.236890Z", "iopub.status.idle": "2021-10-24T05:02:48.239765Z", "shell.execute_reply": "2021-10-24T05:02:48.240311Z" }, "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": 28, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:48.243851Z", "iopub.status.busy": "2021-10-24T05:02:48.243188Z", "iopub.status.idle": "2021-10-24T05:02:48.358937Z", "shell.execute_reply": "2021-10-24T05:02:48.359406Z" }, "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": 29, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:48.383817Z", "iopub.status.busy": "2021-10-24T05:02:48.362634Z", "iopub.status.idle": "2021-10-24T05:02:51.696264Z", "shell.execute_reply": "2021-10-24T05:02:51.696736Z" }, "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": 30, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:51.702797Z", "iopub.status.busy": "2021-10-24T05:02:51.700153Z", "iopub.status.idle": "2021-10-24T05:02:51.705649Z", "shell.execute_reply": "2021-10-24T05:02:51.704927Z" }, "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": 31, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:51.711735Z", "iopub.status.busy": "2021-10-24T05:02:51.710994Z", "iopub.status.idle": "2021-10-24T05:02:53.222715Z", "shell.execute_reply": "2021-10-24T05:02:53.223257Z" }, "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": 32, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:53.229541Z", "iopub.status.busy": "2021-10-24T05:02:53.228649Z", "iopub.status.idle": "2021-10-24T05:02:53.232001Z", "shell.execute_reply": "2021-10-24T05:02:53.232456Z" }, "id": "gG4PPLJHDRn-", "outputId": "ed24921f-0af4-4278-82b1-871b00b03a5f" }, "outputs": [ { "data": { "text/plain": [ "211.5985372581684" ] }, "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": 33, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:53.238452Z", "iopub.status.busy": "2021-10-24T05:02:53.237243Z", "iopub.status.idle": "2021-10-24T05:02:53.242235Z", "shell.execute_reply": "2021-10-24T05:02:53.241503Z" }, "id": "80fkIcIJDRn-", "outputId": "1887dbb5-7464-4836-e339-acc6e74a314a" }, "outputs": [ { "data": { "text/plain": [ "211.59853725816856" ] }, "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": 34, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:53.251490Z", "iopub.status.busy": "2021-10-24T05:02:53.247992Z", "iopub.status.idle": "2021-10-24T05:02:53.280448Z", "shell.execute_reply": "2021-10-24T05:02:53.281065Z" }, "id": "e0w-gelaDRn-", "outputId": "2063e624-6ea9-4078-f0b5-c2a4a1d23d16" }, "outputs": [ { "data": { "text/plain": [ "-211.59853725816836" ] }, "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": 35, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:53.286921Z", "iopub.status.busy": "2021-10-24T05:02:53.286180Z", "iopub.status.idle": "2021-10-24T05:02:53.289865Z", "shell.execute_reply": "2021-10-24T05:02:53.290327Z" }, "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": 36, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:53.296661Z", "iopub.status.busy": "2021-10-24T05:02:53.295370Z", "iopub.status.idle": "2021-10-24T05:02:53.299202Z", "shell.execute_reply": "2021-10-24T05:02:53.298525Z" }, "id": "T2nDkPSdDRn_", "outputId": "344bf750-ebe7-4ca7-a95b-da166dd293ee" }, "outputs": [ { "data": { "text/plain": [ "211.5985372581684" ] }, "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": 37, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:53.304881Z", "iopub.status.busy": "2021-10-24T05:02:53.304093Z", "iopub.status.idle": "2021-10-24T05:02:54.172711Z", "shell.execute_reply": "2021-10-24T05:02:54.173284Z" }, "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": 38, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:54.177071Z", "iopub.status.busy": "2021-10-24T05:02:54.176382Z", "iopub.status.idle": "2021-10-24T05:02:54.651175Z", "shell.execute_reply": "2021-10-24T05:02:54.651746Z" }, "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": 39, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:54.657940Z", "iopub.status.busy": "2021-10-24T05:02:54.657174Z", "iopub.status.idle": "2021-10-24T05:02:54.660124Z", "shell.execute_reply": "2021-10-24T05:02:54.660585Z" }, "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": 40, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:54.675806Z", "iopub.status.busy": "2021-10-24T05:02:54.665889Z", "iopub.status.idle": "2021-10-24T05:02:54.709796Z", "shell.execute_reply": "2021-10-24T05:02:54.710329Z" }, "id": "7CE_xYseDRoA", "outputId": "c81c40d3-7ad8-4b46-fe0e-5383b81b5579" }, "outputs": [ { "data": { "text/plain": [ "211.59853725816836" ] }, "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": 41, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:02:54.717742Z", "iopub.status.busy": "2021-10-24T05:02:54.716868Z", "iopub.status.idle": "2021-10-24T05:11:08.563233Z", "shell.execute_reply": "2021-10-24T05:11:08.562683Z" }, "id": "pIaJfcmfDRoA", "outputId": "9a246ec1-1fb9-4973-9bc7-3a6e728189bd" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.41 s ± 25.6 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": 42, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:11:08.569017Z", "iopub.status.busy": "2021-10-24T05:11:08.568412Z", "iopub.status.idle": "2021-10-24T05:19:38.513788Z", "shell.execute_reply": "2021-10-24T05:19:38.514267Z" }, "id": "QuwU7JWUDRoA", "outputId": "85639ed3-590e-45d7-a0d6-c2d3d64ab8f3", "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.46 s ± 23.1 ms 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": 43, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:19:38.518619Z", "iopub.status.busy": "2021-10-24T05:19:38.517594Z", "iopub.status.idle": "2021-10-24T05:19:38.521806Z", "shell.execute_reply": "2021-10-24T05:19:38.521293Z" }, "id": "bKF_G0eyDRoB" }, "outputs": [], "source": [ "from sklearn.cluster import MiniBatchKMeans" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:19:38.526594Z", "iopub.status.busy": "2021-10-24T05:19:38.526007Z", "iopub.status.idle": "2021-10-24T05:19:38.612747Z", "shell.execute_reply": "2021-10-24T05:19:38.613269Z" }, "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": 45, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:19:38.617625Z", "iopub.status.busy": "2021-10-24T05:19:38.617018Z", "iopub.status.idle": "2021-10-24T05:19:38.619876Z", "shell.execute_reply": "2021-10-24T05:19:38.620263Z" }, "id": "_jGJqdCSDRoB", "outputId": "5592c55b-9b3e-4e70-e49f-8621f2a4ee6b" }, "outputs": [ { "data": { "text/plain": [ "211.652398504332" ] }, "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": 46, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:19:38.625766Z", "iopub.status.busy": "2021-10-24T05:19:38.625076Z", "iopub.status.idle": "2021-10-24T05:20:17.503703Z", "shell.execute_reply": "2021-10-24T05:20:17.502814Z" }, "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": 47, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:17.509883Z", "iopub.status.busy": "2021-10-24T05:20:17.508425Z", "iopub.status.idle": "2021-10-24T05:20:17.883943Z", "shell.execute_reply": "2021-10-24T05:20:17.884399Z" }, "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": 48, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:17.889278Z", "iopub.status.busy": "2021-10-24T05:20:17.888635Z", "iopub.status.idle": "2021-10-24T05:20:18.193738Z", "shell.execute_reply": "2021-10-24T05:20:18.194228Z" }, "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": 49, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:18.198796Z", "iopub.status.busy": "2021-10-24T05:20:18.198170Z", "iopub.status.idle": "2021-10-24T05:20:19.151813Z", "shell.execute_reply": "2021-10-24T05:20:19.151205Z" }, "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": 50, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:19.157309Z", "iopub.status.busy": "2021-10-24T05:20:19.156653Z", "iopub.status.idle": "2021-10-24T05:20:19.159826Z", "shell.execute_reply": "2021-10-24T05:20:19.160224Z" }, "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": 51, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:19.163623Z", "iopub.status.busy": "2021-10-24T05:20:19.162936Z", "iopub.status.idle": "2021-10-24T05:20:19.165839Z", "shell.execute_reply": "2021-10-24T05:20:19.166263Z" }, "id": "XyJEXMyWDRoC" }, "outputs": [], "source": [ "np.random.seed(42)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:19.173481Z", "iopub.status.busy": "2021-10-24T05:20:19.172842Z", "iopub.status.idle": "2021-10-24T05:20:23.581741Z", "shell.execute_reply": "2021-10-24T05:20:23.582647Z" }, "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": 53, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:23.587907Z", "iopub.status.busy": "2021-10-24T05:20:23.585595Z", "iopub.status.idle": "2021-10-24T05:20:23.608417Z", "shell.execute_reply": "2021-10-24T05:20:23.608928Z" }, "id": "6lVimMfrDRoC", "outputId": "84fa6592-a52e-4985-b0ba-288c67ce1629" }, "outputs": [ { "data": { "text/plain": [ "-211.62571878891143" ] }, "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": 54, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:23.615949Z", "iopub.status.busy": "2021-10-24T05:20:23.615212Z", "iopub.status.idle": "2021-10-24T05:20:30.661442Z", "shell.execute_reply": "2021-10-24T05:20:30.661893Z" }, "id": "GE5lbyZ5DRoC", "outputId": "23107c54-7f79-4d6d-9965-87d9887d2cdc" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "882 ms ± 108 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%timeit KMeans(n_clusters=5, random_state=42).fit(X)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:30.668176Z", "iopub.status.busy": "2021-10-24T05:20:30.667568Z", "iopub.status.idle": "2021-10-24T05:20:34.995210Z", "shell.execute_reply": "2021-10-24T05:20:34.995722Z" }, "id": "zP2-bSZRDRoC", "outputId": "a907d482-f113-4273-c001-5df1bd6d97a0" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "53.8 ms ± 5.44 ms per loop (mean ± std. dev. of 7 runs, 10 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": 56, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:35.000800Z", "iopub.status.busy": "2021-10-24T05:20:35.000157Z", "iopub.status.idle": "2021-10-24T05:20:35.002832Z", "shell.execute_reply": "2021-10-24T05:20:35.002147Z" }, "id": "wVz7R5QuDRoD" }, "outputs": [], "source": [ "from timeit import timeit" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:20:35.009886Z", "iopub.status.busy": "2021-10-24T05:20:35.009222Z", "iopub.status.idle": "2021-10-24T05:52:20.612688Z", "shell.execute_reply": "2021-10-24T05:52:20.613560Z" }, "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": 58, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:20.617287Z", "iopub.status.busy": "2021-10-24T05:52:20.616481Z", "iopub.status.idle": "2021-10-24T05:52:21.186467Z", "shell.execute_reply": "2021-10-24T05:52:21.186912Z" }, "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", 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" ] }, "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": 59, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:21.190350Z", "iopub.status.busy": "2021-10-24T05:52:21.189726Z", "iopub.status.idle": "2021-10-24T05:52:24.930179Z", "shell.execute_reply": "2021-10-24T05:52:24.930613Z" }, "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": 60, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:24.935584Z", "iopub.status.busy": "2021-10-24T05:52:24.934884Z", "iopub.status.idle": "2021-10-24T05:52:24.937736Z", "shell.execute_reply": "2021-10-24T05:52:24.938175Z" }, "id": "sudajQ7zDRoD", "outputId": "2f75359c-6b1b-46b0-cf39-f07dd7d2553d" }, "outputs": [ { "data": { "text/plain": [ "653.2167190021553" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_k3.inertia_" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:24.942527Z", "iopub.status.busy": "2021-10-24T05:52:24.941881Z", "iopub.status.idle": "2021-10-24T05:52:24.945434Z", "shell.execute_reply": "2021-10-24T05:52:24.944781Z" }, "id": "mDEs4_fqDRoE", "outputId": "9facf4ec-e30b-4e1e-ba73-7b455f3b4320" }, "outputs": [ { "data": { "text/plain": [ "119.11983416102879" ] }, "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": 62, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:24.954028Z", "iopub.status.busy": "2021-10-24T05:52:24.950317Z", "iopub.status.idle": "2021-10-24T05:52:33.755517Z", "shell.execute_reply": "2021-10-24T05:52:33.756024Z" }, "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": 63, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:33.793524Z", "iopub.status.busy": "2021-10-24T05:52:33.783131Z", "iopub.status.idle": "2021-10-24T05:52:34.172284Z", "shell.execute_reply": "2021-10-24T05:52:34.172719Z" }, "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", 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" ] }, "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": 64, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:34.178234Z", "iopub.status.busy": "2021-10-24T05:52:34.176884Z", "iopub.status.idle": "2021-10-24T05:52:34.638100Z", "shell.execute_reply": "2021-10-24T05:52:34.636969Z" }, "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": 65, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:34.642612Z", "iopub.status.busy": "2021-10-24T05:52:34.641905Z", "iopub.status.idle": "2021-10-24T05:52:34.644837Z", "shell.execute_reply": "2021-10-24T05:52:34.644281Z" }, "id": "6-xpXM_oDRoE" }, "outputs": [], "source": [ "from sklearn.metrics import silhouette_score" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:34.649163Z", "iopub.status.busy": "2021-10-24T05:52:34.648578Z", "iopub.status.idle": "2021-10-24T05:52:34.777026Z", "shell.execute_reply": "2021-10-24T05:52:34.777842Z" }, "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": 67, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:34.786455Z", "iopub.status.busy": "2021-10-24T05:52:34.784554Z", "iopub.status.idle": "2021-10-24T05:52:35.532914Z", "shell.execute_reply": "2021-10-24T05:52:35.534260Z" }, "id": "FTWjipcZDRoF" }, "outputs": [], "source": [ "silhouette_scores = [silhouette_score(X, model.labels_)\n", " for model in kmeans_per_k[1:]]" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:35.540593Z", "iopub.status.busy": "2021-10-24T05:52:35.538667Z", "iopub.status.idle": "2021-10-24T05:52:35.905164Z", "shell.execute_reply": "2021-10-24T05:52:35.904580Z" }, "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": 69, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:35.915461Z", "iopub.status.busy": "2021-10-24T05:52:35.914706Z", "iopub.status.idle": "2021-10-24T05:52:37.661480Z", "shell.execute_reply": "2021-10-24T05:52:37.661912Z" }, "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": 70, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:37.665440Z", "iopub.status.busy": "2021-10-24T05:52:37.664859Z", "iopub.status.idle": "2021-10-24T05:52:37.670282Z", "shell.execute_reply": "2021-10-24T05:52:37.670747Z" }, "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": 71, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:37.673845Z", "iopub.status.busy": "2021-10-24T05:52:37.673260Z", "iopub.status.idle": "2021-10-24T05:52:37.820257Z", "shell.execute_reply": "2021-10-24T05:52:37.819584Z" }, "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": 72, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:37.825562Z", "iopub.status.busy": "2021-10-24T05:52:37.824947Z", "iopub.status.idle": "2021-10-24T05:52:37.907598Z", "shell.execute_reply": "2021-10-24T05:52:37.908108Z" }, "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": 73, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:37.927769Z", "iopub.status.busy": "2021-10-24T05:52:37.910574Z", "iopub.status.idle": "2021-10-24T05:52:39.095266Z", "shell.execute_reply": "2021-10-24T05:52:39.094705Z" }, "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": 74, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:39.101695Z", "iopub.status.busy": "2021-10-24T05:52:39.101061Z", "iopub.status.idle": "2021-10-24T05:52:39.583560Z", "shell.execute_reply": "2021-10-24T05:52:39.583982Z" }, "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": 75, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:39.588739Z", "iopub.status.busy": "2021-10-24T05:52:39.587902Z", "iopub.status.idle": "2021-10-24T05:52:39.613852Z", "shell.execute_reply": "2021-10-24T05:52:39.614254Z" }, "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": 76, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:39.618827Z", "iopub.status.busy": "2021-10-24T05:52:39.618245Z", "iopub.status.idle": "2021-10-24T05:52:47.493973Z", "shell.execute_reply": "2021-10-24T05:52:47.493221Z" }, "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": 77, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:52:47.498789Z", "iopub.status.busy": "2021-10-24T05:52:47.496707Z", "iopub.status.idle": "2021-10-24T05:53:16.732462Z", "shell.execute_reply": "2021-10-24T05:53:16.732925Z" }, "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": 78, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:16.756814Z", "iopub.status.busy": "2021-10-24T05:53:16.735658Z", "iopub.status.idle": "2021-10-24T05:53:18.574916Z", "shell.execute_reply": "2021-10-24T05:53:18.575408Z" }, "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": 79, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:18.579820Z", "iopub.status.busy": "2021-10-24T05:53:18.579198Z", "iopub.status.idle": "2021-10-24T05:53:18.580895Z", "shell.execute_reply": "2021-10-24T05:53:18.581295Z" }, "id": "e8xEwx5TDRoH" }, "outputs": [], "source": [ "from sklearn.datasets import load_digits" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:18.585461Z", "iopub.status.busy": "2021-10-24T05:53:18.584881Z", "iopub.status.idle": "2021-10-24T05:53:18.651471Z", "shell.execute_reply": "2021-10-24T05:53:18.650864Z" }, "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": 81, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:18.656230Z", "iopub.status.busy": "2021-10-24T05:53:18.655656Z", "iopub.status.idle": "2021-10-24T05:53:18.657944Z", "shell.execute_reply": "2021-10-24T05:53:18.657478Z" }, "id": "99-CnolKDRoH" }, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:18.665082Z", "iopub.status.busy": "2021-10-24T05:53:18.664219Z", "iopub.status.idle": "2021-10-24T05:53:18.666774Z", "shell.execute_reply": "2021-10-24T05:53:18.666281Z" }, "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": 83, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:18.671343Z", "iopub.status.busy": "2021-10-24T05:53:18.670515Z", "iopub.status.idle": "2021-10-24T05:53:18.672732Z", "shell.execute_reply": "2021-10-24T05:53:18.673157Z" }, "id": "UzbvgZj4DRoH" }, "outputs": [], "source": [ "from sklearn.linear_model import LogisticRegression" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:18.677459Z", "iopub.status.busy": "2021-10-24T05:53:18.675381Z", "iopub.status.idle": "2021-10-24T05:53:21.055190Z", "shell.execute_reply": "2021-10-24T05:53:21.056546Z" }, "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": 85, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:21.063279Z", "iopub.status.busy": "2021-10-24T05:53:21.061356Z", "iopub.status.idle": "2021-10-24T05:53:21.075198Z", "shell.execute_reply": "2021-10-24T05:53:21.076439Z" }, "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": 86, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:21.082948Z", "iopub.status.busy": "2021-10-24T05:53:21.081104Z", "iopub.status.idle": "2021-10-24T05:53:21.090947Z", "shell.execute_reply": "2021-10-24T05:53:21.092448Z" }, "id": "VqkJYSK5DRoI" }, "outputs": [], "source": [ "from sklearn.pipeline import Pipeline" ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:21.099064Z", "iopub.status.busy": "2021-10-24T05:53:21.096885Z", "iopub.status.idle": "2021-10-24T05:53:32.478278Z", "shell.execute_reply": "2021-10-24T05:53:32.479548Z" }, "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": 88, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:32.485548Z", "iopub.status.busy": "2021-10-24T05:53:32.483749Z", "iopub.status.idle": "2021-10-24T05:53:32.497752Z", "shell.execute_reply": "2021-10-24T05:53:32.499107Z" }, "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": 89, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:32.505207Z", "iopub.status.busy": "2021-10-24T05:53:32.503406Z", "iopub.status.idle": "2021-10-24T05:53:32.515188Z", "shell.execute_reply": "2021-10-24T05:53:32.516407Z" }, "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": 90, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:32.522423Z", "iopub.status.busy": "2021-10-24T05:53:32.520651Z", "iopub.status.idle": "2021-10-24T05:53:32.527277Z", "shell.execute_reply": "2021-10-24T05:53:32.528465Z" }, "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": 91, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T05:53:32.534386Z", "iopub.status.busy": "2021-10-24T05:53:32.532610Z", "iopub.status.idle": "2021-10-24T06:26:00.585824Z", "shell.execute_reply": "2021-10-24T06:26:00.587480Z" }, "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= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=2; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=2; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=3; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=3; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=3; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=4; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=4; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=4; total time= 1.4s\n", "[CV] END ...............................kmeans__n_clusters=5; total time= 1.5s\n", "[CV] END ...............................kmeans__n_clusters=5; total time= 1.5s\n", "[CV] END ...............................kmeans__n_clusters=5; total time= 1.5s\n", "[CV] END ...............................kmeans__n_clusters=6; total time= 1.5s\n", "[CV] END ...............................kmeans__n_clusters=6; total time= 1.5s\n", "[CV] END ...............................kmeans__n_clusters=6; total time= 1.5s\n", "[CV] END ...............................kmeans__n_clusters=7; total time= 1.6s\n", "[CV] END ...............................kmeans__n_clusters=7; total time= 1.6s\n", "[CV] END ...............................kmeans__n_clusters=7; total time= 1.6s\n", "[CV] END ...............................kmeans__n_clusters=8; total time= 1.6s\n", "[CV] END ...............................kmeans__n_clusters=8; total time= 1.7s\n", "[CV] END ...............................kmeans__n_clusters=8; total time= 1.7s\n", "[CV] END ...............................kmeans__n_clusters=9; total time= 1.8s\n", "[CV] END ...............................kmeans__n_clusters=9; total time= 1.8s\n", "[CV] END ...............................kmeans__n_clusters=9; total time= 1.8s\n", "[CV] END ..............................kmeans__n_clusters=10; total time= 1.9s\n", "[CV] END ..............................kmeans__n_clusters=10; total time= 1.9s\n", "[CV] END ..............................kmeans__n_clusters=10; total time= 1.9s\n", "[CV] END ..............................kmeans__n_clusters=11; total time= 2.5s\n", "[CV] END ..............................kmeans__n_clusters=11; total time= 2.8s\n", "[CV] END ..............................kmeans__n_clusters=11; total time= 2.4s\n", "[CV] END ..............................kmeans__n_clusters=12; total time= 2.7s\n", "[CV] END ..............................kmeans__n_clusters=12; total time= 2.9s\n", "[CV] END ..............................kmeans__n_clusters=12; total time= 2.8s\n", "[CV] END ..............................kmeans__n_clusters=13; total time= 3.1s\n", "[CV] END ..............................kmeans__n_clusters=13; total time= 3.1s\n", "[CV] END ..............................kmeans__n_clusters=13; total time= 3.2s\n", "[CV] END ..............................kmeans__n_clusters=14; total time= 3.4s\n", "[CV] END ..............................kmeans__n_clusters=14; total time= 3.5s\n", "[CV] END ..............................kmeans__n_clusters=14; total time= 3.4s\n", "[CV] END ..............................kmeans__n_clusters=15; total time= 3.7s\n", "[CV] END ..............................kmeans__n_clusters=15; total time= 3.4s\n", "[CV] END ..............................kmeans__n_clusters=15; total time= 3.7s\n", "[CV] END ..............................kmeans__n_clusters=16; total time= 4.0s\n", "[CV] END ..............................kmeans__n_clusters=16; total time= 3.7s\n", "[CV] END ..............................kmeans__n_clusters=16; total time= 3.8s\n", "[CV] END ..............................kmeans__n_clusters=17; total time= 4.1s\n", "[CV] END ..............................kmeans__n_clusters=17; total time= 4.1s\n", "[CV] END ..............................kmeans__n_clusters=17; total time= 4.1s\n", "[CV] END ..............................kmeans__n_clusters=18; total time= 4.5s\n", "[CV] END ..............................kmeans__n_clusters=18; total time= 4.1s\n", "[CV] END ..............................kmeans__n_clusters=18; total time= 4.2s\n", "[CV] END ..............................kmeans__n_clusters=19; total time= 4.7s\n", "[CV] END ..............................kmeans__n_clusters=19; total time= 4.6s\n", "[CV] END ..............................kmeans__n_clusters=19; total time= 4.5s\n", "[CV] END ..............................kmeans__n_clusters=20; total time= 4.9s\n", "[CV] END ..............................kmeans__n_clusters=20; total time= 4.6s\n", "[CV] END ..............................kmeans__n_clusters=20; total time= 4.3s\n", "[CV] END ..............................kmeans__n_clusters=21; total time= 5.1s\n", "[CV] END ..............................kmeans__n_clusters=21; total time= 5.1s\n", "[CV] END ..............................kmeans__n_clusters=21; total time= 5.0s\n", "[CV] END ..............................kmeans__n_clusters=22; total time= 5.4s\n", "[CV] END ..............................kmeans__n_clusters=22; total time= 5.9s\n", "[CV] END ..............................kmeans__n_clusters=22; total time= 5.1s\n", "[CV] END ..............................kmeans__n_clusters=23; total time= 5.4s\n", "[CV] END ..............................kmeans__n_clusters=23; total time= 5.5s\n", "[CV] END ..............................kmeans__n_clusters=23; total time= 5.2s\n", "[CV] END ..............................kmeans__n_clusters=24; total time= 5.7s\n", "[CV] END ..............................kmeans__n_clusters=24; total time= 5.6s\n", "[CV] END ..............................kmeans__n_clusters=24; total time= 5.4s\n", "[CV] END ..............................kmeans__n_clusters=25; total time= 5.5s\n", "[CV] END ..............................kmeans__n_clusters=25; total time= 5.6s\n", "[CV] END ..............................kmeans__n_clusters=25; total time= 6.0s\n", "[CV] END ..............................kmeans__n_clusters=26; total time= 6.0s\n", "[CV] END ..............................kmeans__n_clusters=26; total time= 6.1s\n", "[CV] END ..............................kmeans__n_clusters=26; total time= 5.6s\n", "[CV] END ..............................kmeans__n_clusters=27; total time= 5.6s\n", "[CV] END ..............................kmeans__n_clusters=27; total time= 6.2s\n", "[CV] END ..............................kmeans__n_clusters=27; total time= 5.5s\n", "[CV] END ..............................kmeans__n_clusters=28; total time= 5.9s\n", "[CV] END ..............................kmeans__n_clusters=28; total time= 6.3s\n", "[CV] END ..............................kmeans__n_clusters=28; total time= 5.5s\n", "[CV] END ..............................kmeans__n_clusters=29; total time= 5.9s\n", "[CV] END ..............................kmeans__n_clusters=29; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=29; total time= 6.2s\n", "[CV] END ..............................kmeans__n_clusters=30; total time= 6.4s\n", "[CV] END ..............................kmeans__n_clusters=30; total time= 6.5s\n", "[CV] END ..............................kmeans__n_clusters=30; total time= 6.2s\n", "[CV] END ..............................kmeans__n_clusters=31; total time= 6.8s\n", "[CV] END ..............................kmeans__n_clusters=31; total time= 5.5s\n", "[CV] END ..............................kmeans__n_clusters=31; total time= 6.1s\n", "[CV] END ..............................kmeans__n_clusters=32; total time= 6.4s\n", "[CV] END ..............................kmeans__n_clusters=32; total time= 6.9s\n", "[CV] END ..............................kmeans__n_clusters=32; total time= 6.6s\n", "[CV] END ..............................kmeans__n_clusters=33; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=33; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=33; total time= 6.4s\n", "[CV] END ..............................kmeans__n_clusters=34; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=34; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=34; total time= 6.6s\n", "[CV] END ..............................kmeans__n_clusters=35; total time= 6.7s\n", "[CV] END ..............................kmeans__n_clusters=35; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=35; total time= 6.3s\n", "[CV] END ..............................kmeans__n_clusters=36; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=36; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=36; total time= 6.4s\n", "[CV] END ..............................kmeans__n_clusters=37; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=37; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=37; total time= 5.8s\n", "[CV] END ..............................kmeans__n_clusters=38; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=38; total time= 6.8s\n", "[CV] END ..............................kmeans__n_clusters=38; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=39; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=39; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=39; total time= 6.9s\n", "[CV] END ..............................kmeans__n_clusters=40; total time= 7.3s\n", "[CV] END ..............................kmeans__n_clusters=40; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=40; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=41; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=41; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=41; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=42; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=42; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=42; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=43; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=43; total time= 7.3s\n", "[CV] END ..............................kmeans__n_clusters=43; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=44; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=44; total time= 6.9s\n", "[CV] END ..............................kmeans__n_clusters=44; total time= 6.4s\n", "[CV] END ..............................kmeans__n_clusters=45; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=45; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=45; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=46; total time= 6.8s\n", "[CV] END ..............................kmeans__n_clusters=46; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=46; total time= 7.3s\n", "[CV] END ..............................kmeans__n_clusters=47; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=47; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=47; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=48; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=48; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=48; total time= 6.6s\n", "[CV] END ..............................kmeans__n_clusters=49; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=49; total time= 6.9s\n", "[CV] END ..............................kmeans__n_clusters=49; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=50; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=50; total time= 7.3s\n", "[CV] END ..............................kmeans__n_clusters=50; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=51; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=51; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=51; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=52; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=52; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=52; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=53; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=53; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=53; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=54; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=54; total time= 7.3s\n", "[CV] END ..............................kmeans__n_clusters=54; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=55; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=55; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=55; total time= 9.6s\n", "[CV] END ..............................kmeans__n_clusters=56; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=56; total time= 6.9s\n", "[CV] END ..............................kmeans__n_clusters=56; total time= 9.0s\n", "[CV] END ..............................kmeans__n_clusters=57; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=57; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=57; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=58; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=58; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=58; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=59; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=59; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=59; total time= 7.3s\n", "[CV] END ..............................kmeans__n_clusters=60; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=60; total time= 8.6s\n", "[CV] END ..............................kmeans__n_clusters=60; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=61; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=61; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=61; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=62; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=62; total time= 8.5s\n", "[CV] END ..............................kmeans__n_clusters=62; total time= 6.9s\n", "[CV] END ..............................kmeans__n_clusters=63; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=63; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=63; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=64; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=64; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=64; total time= 7.2s\n", "[CV] END ..............................kmeans__n_clusters=65; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=65; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=65; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=66; total time= 8.6s\n", "[CV] END ..............................kmeans__n_clusters=66; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=66; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=67; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=67; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=67; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=68; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=68; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=68; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=69; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=69; total time= 8.8s\n", "[CV] END ..............................kmeans__n_clusters=69; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=70; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=70; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=70; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=71; total time= 9.2s\n", "[CV] END ..............................kmeans__n_clusters=71; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=71; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=72; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=72; total time= 8.5s\n", "[CV] END ..............................kmeans__n_clusters=72; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=73; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=73; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=73; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=74; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=74; total time= 8.8s\n", "[CV] END ..............................kmeans__n_clusters=74; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=75; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=75; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=75; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=76; total time= 8.5s\n", "[CV] END ..............................kmeans__n_clusters=76; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=76; total time= 6.9s\n", "[CV] END ..............................kmeans__n_clusters=77; total time= 8.6s\n", "[CV] END ..............................kmeans__n_clusters=77; total time= 8.8s\n", "[CV] END ..............................kmeans__n_clusters=77; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=78; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=78; total time= 8.9s\n", "[CV] END ..............................kmeans__n_clusters=78; total time= 8.5s\n", "[CV] END ..............................kmeans__n_clusters=79; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=79; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=79; total time= 7.0s\n", "[CV] END ..............................kmeans__n_clusters=80; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=80; total time= 10.2s\n", "[CV] END ..............................kmeans__n_clusters=80; total time= 11.0s\n", "[CV] END ..............................kmeans__n_clusters=81; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=81; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=81; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=82; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=82; total time= 9.0s\n", "[CV] END ..............................kmeans__n_clusters=82; total time= 8.5s\n", "[CV] END ..............................kmeans__n_clusters=83; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=83; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=83; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=84; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=84; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=84; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=85; total time= 8.9s\n", "[CV] END ..............................kmeans__n_clusters=85; total time= 8.8s\n", "[CV] END ..............................kmeans__n_clusters=85; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=86; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=86; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=86; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=87; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=87; total time= 8.6s\n", "[CV] END ..............................kmeans__n_clusters=87; total time= 8.7s\n", "[CV] END ..............................kmeans__n_clusters=88; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=88; total time= 8.6s\n", "[CV] END ..............................kmeans__n_clusters=88; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=89; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=89; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=89; total time= 8.4s\n", "[CV] END ..............................kmeans__n_clusters=90; total time= 8.2s\n", "[CV] END ..............................kmeans__n_clusters=90; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=90; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=91; total time= 8.1s\n", "[CV] END ..............................kmeans__n_clusters=91; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=91; total time= 8.5s\n", "[CV] END ..............................kmeans__n_clusters=92; total time= 8.5s\n", "[CV] END ..............................kmeans__n_clusters=92; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=92; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=93; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=93; total time= 9.1s\n", "[CV] END ..............................kmeans__n_clusters=93; total time= 7.5s\n", "[CV] END ..............................kmeans__n_clusters=94; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=94; total time= 9.6s\n", "[CV] END ..............................kmeans__n_clusters=94; total time= 7.1s\n", "[CV] END ..............................kmeans__n_clusters=95; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=95; total time= 7.3s\n", "[CV] END ..............................kmeans__n_clusters=95; total time= 7.6s\n", "[CV] END ..............................kmeans__n_clusters=96; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=96; total time= 8.8s\n", "[CV] END ..............................kmeans__n_clusters=96; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=97; total time= 8.0s\n", "[CV] END ..............................kmeans__n_clusters=97; total time= 9.5s\n", "[CV] END ..............................kmeans__n_clusters=97; total time= 7.9s\n", "[CV] END ..............................kmeans__n_clusters=98; total time= 7.4s\n", "[CV] END ..............................kmeans__n_clusters=98; total time= 8.3s\n", "[CV] END ..............................kmeans__n_clusters=98; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=99; total time= 7.7s\n", "[CV] END ..............................kmeans__n_clusters=99; total time= 7.8s\n", "[CV] END ..............................kmeans__n_clusters=99; total time= 8.0s\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": 92, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:00.595038Z", "iopub.status.busy": "2021-10-24T06:26:00.592957Z", "iopub.status.idle": "2021-10-24T06:26:00.606387Z", "shell.execute_reply": "2021-10-24T06:26:00.607801Z" }, "id": "9UQHQ3ZODRoJ", "outputId": "9a57b751-c085-49b6-e76f-bfde2c527f91" }, "outputs": [ { "data": { "text/plain": [ "{'kmeans__n_clusters': 88}" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grid_clf.best_params_" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:00.614411Z", "iopub.status.busy": "2021-10-24T06:26:00.612429Z", "iopub.status.idle": "2021-10-24T06:26:00.628425Z", "shell.execute_reply": "2021-10-24T06:26:00.629669Z" }, "id": "bitUjGYtDRoJ", "outputId": "596f6c09-c88c-44e4-fa28-3c2a952dd006", "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "0.9822222222222222" ] }, "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": 94, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:00.636500Z", "iopub.status.busy": "2021-10-24T06:26:00.634639Z", "iopub.status.idle": "2021-10-24T06:26:00.641281Z", "shell.execute_reply": "2021-10-24T06:26:00.642472Z" }, "id": "8auX2h11DRoK" }, "outputs": [], "source": [ "n_labeled = 50" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:00.649126Z", "iopub.status.busy": "2021-10-24T06:26:00.646669Z", "iopub.status.idle": "2021-10-24T06:26:00.821959Z", "shell.execute_reply": "2021-10-24T06:26:00.823345Z" }, "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": 96, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:00.829739Z", "iopub.status.busy": "2021-10-24T06:26:00.827920Z", "iopub.status.idle": "2021-10-24T06:26:00.834668Z", "shell.execute_reply": "2021-10-24T06:26:00.835869Z" }, "id": "Ae_Mrc62DRoK" }, "outputs": [], "source": [ "k = 50" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:00.841737Z", "iopub.status.busy": "2021-10-24T06:26:00.839955Z", "iopub.status.idle": "2021-10-24T06:26:02.897474Z", "shell.execute_reply": "2021-10-24T06:26:02.897918Z" }, "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": 98, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:02.913308Z", "iopub.status.busy": "2021-10-24T06:26:02.901583Z", "iopub.status.idle": "2021-10-24T06:26:04.838050Z", "shell.execute_reply": "2021-10-24T06:26:04.838450Z" }, "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": 99, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:04.843544Z", "iopub.status.busy": "2021-10-24T06:26:04.842893Z", "iopub.status.idle": "2021-10-24T06:26:04.848633Z", "shell.execute_reply": "2021-10-24T06:26:04.848135Z" }, "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": 100, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:04.854306Z", "iopub.status.busy": "2021-10-24T06:26:04.853706Z", "iopub.status.idle": "2021-10-24T06:26:04.856114Z", "shell.execute_reply": "2021-10-24T06:26:04.856552Z" }, "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": 101, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:04.876177Z", "iopub.status.busy": "2021-10-24T06:26:04.873232Z", "iopub.status.idle": "2021-10-24T06:26:05.163901Z", "shell.execute_reply": "2021-10-24T06:26:05.164823Z" }, "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": 102, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:05.173706Z", "iopub.status.busy": "2021-10-24T06:26:05.172640Z", "iopub.status.idle": "2021-10-24T06:26:05.177690Z", "shell.execute_reply": "2021-10-24T06:26:05.178410Z" }, "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": 103, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:05.186150Z", "iopub.status.busy": "2021-10-24T06:26:05.185094Z", "iopub.status.idle": "2021-10-24T06:26:09.644495Z", "shell.execute_reply": "2021-10-24T06:26:09.645815Z" }, "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": 104, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:09.652071Z", "iopub.status.busy": "2021-10-24T06:26:09.650170Z", "iopub.status.idle": "2021-10-24T06:26:09.663583Z", "shell.execute_reply": "2021-10-24T06:26:09.664841Z" }, "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": 105, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:09.671230Z", "iopub.status.busy": "2021-10-24T06:26:09.669351Z", "iopub.status.idle": "2021-10-24T06:26:09.689351Z", "shell.execute_reply": "2021-10-24T06:26:09.690685Z" }, "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": 106, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:09.697126Z", "iopub.status.busy": "2021-10-24T06:26:09.695202Z", "iopub.status.idle": "2021-10-24T06:26:09.703158Z", "shell.execute_reply": "2021-10-24T06:26:09.704401Z" }, "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": 107, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:09.710452Z", "iopub.status.busy": "2021-10-24T06:26:09.708615Z", "iopub.status.idle": "2021-10-24T06:26:13.561468Z", "shell.execute_reply": "2021-10-24T06:26:13.562763Z" }, "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": 108, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.569081Z", "iopub.status.busy": "2021-10-24T06:26:13.567184Z", "iopub.status.idle": "2021-10-24T06:26:13.580172Z", "shell.execute_reply": "2021-10-24T06:26:13.581384Z" }, "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": 109, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.587735Z", "iopub.status.busy": "2021-10-24T06:26:13.585887Z", "iopub.status.idle": "2021-10-24T06:26:13.597746Z", "shell.execute_reply": "2021-10-24T06:26:13.598945Z" }, "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": 110, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.605381Z", "iopub.status.busy": "2021-10-24T06:26:13.603541Z", "iopub.status.idle": "2021-10-24T06:26:13.610435Z", "shell.execute_reply": "2021-10-24T06:26:13.611683Z" }, "id": "0k6sAJXxDRoM" }, "outputs": [], "source": [ "from sklearn.datasets import make_moons" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.617857Z", "iopub.status.busy": "2021-10-24T06:26:13.616022Z", "iopub.status.idle": "2021-10-24T06:26:13.625174Z", "shell.execute_reply": "2021-10-24T06:26:13.626438Z" }, "id": "SRht0NLLDRoN" }, "outputs": [], "source": [ "X, y = make_moons(n_samples=1000, noise=0.05, random_state=42)" ] }, { "cell_type": "code", "execution_count": 112, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.632617Z", "iopub.status.busy": "2021-10-24T06:26:13.630751Z", "iopub.status.idle": "2021-10-24T06:26:13.637624Z", "shell.execute_reply": "2021-10-24T06:26:13.638837Z" }, "id": "s4S955nPDRoN" }, "outputs": [], "source": [ "from sklearn.cluster import DBSCAN" ] }, { "cell_type": "code", "execution_count": 113, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.644903Z", "iopub.status.busy": "2021-10-24T06:26:13.643022Z", "iopub.status.idle": "2021-10-24T06:26:13.667245Z", "shell.execute_reply": "2021-10-24T06:26:13.668594Z" }, "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": 114, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.674763Z", "iopub.status.busy": "2021-10-24T06:26:13.672899Z", "iopub.status.idle": "2021-10-24T06:26:13.684659Z", "shell.execute_reply": "2021-10-24T06:26:13.685889Z" }, "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": 115, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.691958Z", "iopub.status.busy": "2021-10-24T06:26:13.690118Z", "iopub.status.idle": "2021-10-24T06:26:13.698828Z", "shell.execute_reply": "2021-10-24T06:26:13.698300Z" }, "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": 116, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.704801Z", "iopub.status.busy": "2021-10-24T06:26:13.703758Z", "iopub.status.idle": "2021-10-24T06:26:13.707428Z", "shell.execute_reply": "2021-10-24T06:26:13.706902Z" }, "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": 117, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.712801Z", "iopub.status.busy": "2021-10-24T06:26:13.712182Z", "iopub.status.idle": "2021-10-24T06:26:13.715233Z", "shell.execute_reply": "2021-10-24T06:26:13.715669Z" }, "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": 118, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.720089Z", "iopub.status.busy": "2021-10-24T06:26:13.719007Z", "iopub.status.idle": "2021-10-24T06:26:13.723314Z", "shell.execute_reply": "2021-10-24T06:26:13.722798Z" }, "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": 119, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.728187Z", "iopub.status.busy": "2021-10-24T06:26:13.727608Z", "iopub.status.idle": "2021-10-24T06:26:13.736848Z", "shell.execute_reply": "2021-10-24T06:26:13.737292Z" }, "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": 120, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.746857Z", "iopub.status.busy": "2021-10-24T06:26:13.745512Z", "iopub.status.idle": "2021-10-24T06:26:13.747560Z", "shell.execute_reply": "2021-10-24T06:26:13.747989Z" }, "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": 121, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:13.770823Z", "iopub.status.busy": "2021-10-24T06:26:13.770161Z", "iopub.status.idle": "2021-10-24T06:26:14.589798Z", "shell.execute_reply": "2021-10-24T06:26:14.590226Z" }, "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": 122, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:14.594281Z", "iopub.status.busy": "2021-10-24T06:26:14.593710Z", "iopub.status.idle": "2021-10-24T06:26:14.596898Z", "shell.execute_reply": "2021-10-24T06:26:14.597282Z" }, "id": "4kLWvBiFDRoO" }, "outputs": [], "source": [ "dbscan = dbscan2" ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:14.601312Z", "iopub.status.busy": "2021-10-24T06:26:14.600689Z", "iopub.status.idle": "2021-10-24T06:26:14.602696Z", "shell.execute_reply": "2021-10-24T06:26:14.603123Z" }, "id": "Z3FLIQ32DRoO" }, "outputs": [], "source": [ "from sklearn.neighbors import KNeighborsClassifier" ] }, { "cell_type": "code", "execution_count": 124, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:14.607557Z", "iopub.status.busy": "2021-10-24T06:26:14.606965Z", "iopub.status.idle": "2021-10-24T06:26:14.612095Z", "shell.execute_reply": "2021-10-24T06:26:14.611509Z" }, "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": 125, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:14.614810Z", "iopub.status.busy": "2021-10-24T06:26:14.614260Z", "iopub.status.idle": "2021-10-24T06:26:14.620480Z", "shell.execute_reply": "2021-10-24T06:26:14.619975Z" }, "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": 126, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:14.624828Z", "iopub.status.busy": "2021-10-24T06:26:14.624259Z", "iopub.status.idle": "2021-10-24T06:26:14.628514Z", "shell.execute_reply": "2021-10-24T06:26:14.628964Z" }, "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": 127, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:14.634467Z", "iopub.status.busy": "2021-10-24T06:26:14.633871Z", "iopub.status.idle": "2021-10-24T06:26:46.304580Z", "shell.execute_reply": "2021-10-24T06:26:46.304042Z" }, "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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\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": 128, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:46.311280Z", "iopub.status.busy": "2021-10-24T06:26:46.307419Z", "iopub.status.idle": "2021-10-24T06:26:46.314777Z", "shell.execute_reply": "2021-10-24T06:26:46.315191Z" }, "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": 129, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:46.319650Z", "iopub.status.busy": "2021-10-24T06:26:46.318920Z", "iopub.status.idle": "2021-10-24T06:26:46.320918Z", "shell.execute_reply": "2021-10-24T06:26:46.321347Z" }, "id": "Dy9pP8R0DRoP" }, "outputs": [], "source": [ "from sklearn.cluster import SpectralClustering" ] }, { "cell_type": "code", "execution_count": 130, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:46.326594Z", "iopub.status.busy": "2021-10-24T06:26:46.325718Z", "iopub.status.idle": "2021-10-24T06:26:46.907547Z", "shell.execute_reply": "2021-10-24T06:26:46.906895Z" }, "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": 131, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:46.912704Z", "iopub.status.busy": "2021-10-24T06:26:46.911808Z", "iopub.status.idle": "2021-10-24T06:26:47.244114Z", "shell.execute_reply": "2021-10-24T06:26:47.244627Z" }, "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": 132, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.247891Z", "iopub.status.busy": "2021-10-24T06:26:47.247225Z", "iopub.status.idle": "2021-10-24T06:26:47.265188Z", "shell.execute_reply": "2021-10-24T06:26:47.265614Z" }, "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": 133, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.269128Z", "iopub.status.busy": "2021-10-24T06:26:47.268527Z", "iopub.status.idle": "2021-10-24T06:26:47.274044Z", "shell.execute_reply": "2021-10-24T06:26:47.274488Z" }, "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": 134, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.277428Z", "iopub.status.busy": "2021-10-24T06:26:47.276862Z", "iopub.status.idle": "2021-10-24T06:26:47.601235Z", "shell.execute_reply": "2021-10-24T06:26:47.601936Z" }, "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": 135, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.605298Z", "iopub.status.busy": "2021-10-24T06:26:47.604731Z", "iopub.status.idle": "2021-10-24T06:26:47.607716Z", "shell.execute_reply": "2021-10-24T06:26:47.608150Z" }, "id": "y5WPpEUdDRoS" }, "outputs": [], "source": [ "from sklearn.cluster import AgglomerativeClustering" ] }, { "cell_type": "code", "execution_count": 136, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.613174Z", "iopub.status.busy": "2021-10-24T06:26:47.612485Z", "iopub.status.idle": "2021-10-24T06:26:47.631876Z", "shell.execute_reply": "2021-10-24T06:26:47.630916Z" }, "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": 137, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.636721Z", "iopub.status.busy": "2021-10-24T06:26:47.636136Z", "iopub.status.idle": "2021-10-24T06:26:47.637637Z", "shell.execute_reply": "2021-10-24T06:26:47.638046Z" }, "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": 138, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.642855Z", "iopub.status.busy": "2021-10-24T06:26:47.642281Z", "iopub.status.idle": "2021-10-24T06:26:47.645378Z", "shell.execute_reply": "2021-10-24T06:26:47.644896Z" }, "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": 139, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.651355Z", "iopub.status.busy": "2021-10-24T06:26:47.650739Z", "iopub.status.idle": "2021-10-24T06:26:47.653330Z", "shell.execute_reply": "2021-10-24T06:26:47.653742Z" }, "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": 140, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.660053Z", "iopub.status.busy": "2021-10-24T06:26:47.659040Z", "iopub.status.idle": "2021-10-24T06:26:47.662831Z", "shell.execute_reply": "2021-10-24T06:26:47.663250Z" }, "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": 141, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.667594Z", "iopub.status.busy": "2021-10-24T06:26:47.666838Z", "iopub.status.idle": "2021-10-24T06:26:47.669149Z", "shell.execute_reply": "2021-10-24T06:26:47.669562Z" }, "id": "RqbXr5tZDRoT" }, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:47.679597Z", "iopub.status.busy": "2021-10-24T06:26:47.673545Z", "iopub.status.idle": "2021-10-24T06:26:48.305717Z", "shell.execute_reply": "2021-10-24T06:26:48.305128Z" }, "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": 143, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.311259Z", "iopub.status.busy": "2021-10-24T06:26:48.310550Z", "iopub.status.idle": "2021-10-24T06:26:48.313763Z", "shell.execute_reply": "2021-10-24T06:26:48.314182Z" }, "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": 144, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.318876Z", "iopub.status.busy": "2021-10-24T06:26:48.318314Z", "iopub.status.idle": "2021-10-24T06:26:48.323712Z", "shell.execute_reply": "2021-10-24T06:26:48.323170Z" }, "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": 145, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.326485Z", "iopub.status.busy": "2021-10-24T06:26:48.325906Z", "iopub.status.idle": "2021-10-24T06:26:48.330003Z", "shell.execute_reply": "2021-10-24T06:26:48.330431Z" }, "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": 146, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.333379Z", "iopub.status.busy": "2021-10-24T06:26:48.332740Z", "iopub.status.idle": "2021-10-24T06:26:48.337170Z", "shell.execute_reply": "2021-10-24T06:26:48.337584Z" }, "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": 147, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.343249Z", "iopub.status.busy": "2021-10-24T06:26:48.342304Z", "iopub.status.idle": "2021-10-24T06:26:48.345743Z", "shell.execute_reply": "2021-10-24T06:26:48.345246Z" }, "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": 148, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.350102Z", "iopub.status.busy": "2021-10-24T06:26:48.349151Z", "iopub.status.idle": "2021-10-24T06:26:48.353109Z", "shell.execute_reply": "2021-10-24T06:26:48.353532Z" }, "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": 149, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.357597Z", "iopub.status.busy": "2021-10-24T06:26:48.357014Z", "iopub.status.idle": "2021-10-24T06:26:48.361501Z", "shell.execute_reply": "2021-10-24T06:26:48.361923Z" }, "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": 150, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.368849Z", "iopub.status.busy": "2021-10-24T06:26:48.367887Z", "iopub.status.idle": "2021-10-24T06:26:48.370903Z", "shell.execute_reply": "2021-10-24T06:26:48.371328Z" }, "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": 151, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.375379Z", "iopub.status.busy": "2021-10-24T06:26:48.374671Z", "iopub.status.idle": "2021-10-24T06:26:48.377444Z", "shell.execute_reply": "2021-10-24T06:26:48.377859Z" }, "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": 152, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.382245Z", "iopub.status.busy": "2021-10-24T06:26:48.381674Z", "iopub.status.idle": "2021-10-24T06:26:48.385228Z", "shell.execute_reply": "2021-10-24T06:26:48.385739Z" }, "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": 153, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:48.388712Z", "iopub.status.busy": "2021-10-24T06:26:48.388138Z", "iopub.status.idle": "2021-10-24T06:26:49.792305Z", "shell.execute_reply": "2021-10-24T06:26:49.792735Z" }, "id": "N8VnLq2jDRoV", "outputId": "71dcb63f-ed09-47fd-93ed-d8f551c175ac" }, "outputs": [ { "data": { "text/plain": [ "0.9999999999215021" ] }, "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": 154, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:49.802869Z", "iopub.status.busy": "2021-10-24T06:26:49.802192Z", "iopub.status.idle": "2021-10-24T06:26:49.804335Z", "shell.execute_reply": "2021-10-24T06:26:49.804722Z" }, "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": 155, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:49.809832Z", "iopub.status.busy": "2021-10-24T06:26:49.809250Z", "iopub.status.idle": "2021-10-24T06:26:51.468156Z", "shell.execute_reply": "2021-10-24T06:26:51.468592Z" }, "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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y50kO9o9k7bQBzFqXQlCZges/XOKCUbpxc/YgSAS8+oZD34voczlUZ5eh2f83a189RFWxiT5Tw+k7I4LoYWe/2DkvBc5r75Xz3mcVvPtdEJHR5+UhcJqgD3REvlTZQCyUXqTC2qvGnL/6lNVm7iVqhj83vctLjRccKefPFw8glQv0euEKVL1Cumzf+hNF5H79N1WHcwm7eDiqiy9H4uGuS+FKHJV6pGpVhwPD//d/n9LnZAkbx/TipX/M5oF/Xu6iEbpxc3bjGR2ANXouCfNrrNDee7ey7rVD6EtMJE2PoN/sSCIG+Z+ViTfn3ez+4htavvypkne/dxfwa41elxbhvdNS99yhgENbQ7EHyykvs/Pyk+WcOGpl7uvjiRjYtVYbo87CxrdTOL4hn8l396NsZNe1V9AfLyTnq23ojxUQcelIPK+6FpSKszpw2F5lwLB1N+qxw5F6qbt7OHVYi0rxiPBt/wYa9ZSatO0Eb99iwuDlLqToxk1jVOF+WMLnkjAXjLla1Lu3suKZvdjMDvrNiaT/hVEExndPS532cN7M8KIo8uyrWn5aruftb4MIDHY3NWsNm7+kLlah6AZP8p6pCRhe/2c1Lz9RzpyFaoY+3bVWG9EhcvC3bDa+dYQ+08Lp98GtaL1UXeKO0h8vJOeLrRjSi4i47ALU1y3GoZCf1cKmFsPW3VT88AcA3rMmdvNoTmMtKMYjqv2B6t8t/rBO3ADc9/zF7p5Sbtw4gUekP7bIefReIGJIL8a+fStf37IVTZCKAXOjSZ4d2eN7ZZ03AufZV7X8vELPm98E4h/oFjdNISm30XdOEZXjVOS8EkDmB0GYXqmg6CY1op+cSp2DV54u59A+C3Ne6foMqeI0HX++sB+7VSTh2ctR9e6aKsSG9GJylm5Bf7yQiMsvQHPDDdjl54awqUU9dniDx56CQnsSz/h21E8SRdYs+A+eptNd7K/88AayY4NcODo3bs59BEFA0ysEel3MgCsdNcVKt/zNX++lEjM8kIELokkYF4pU3vOuiOeFwHn+9TJ+Wu4WNy0R/Y9SAn80AhD0fTWGUSq0i9QUPugLwLZNRl54uJyJ0z24/JvZXVrXxlJtY/P7qRz6LZvxt/elctz0LsmOqs4uI2fpFioP5xJx2QV4XrcYu0LeZcHLXYnUS92jLDe16I8VEjStf5vXi8grx6OeuPm/V690ixs3bjqIIJXgOywWhsUy+GYzpZuOsf2znax8fj8D5kUzaGEMAbGdUHG8nZzzAudfb2v5dlkVb30b5BY3TSArsNF/fAGS03MBNo2A9qKaYFljtYP/vFjB5vUmpjzT9dWIj28sYPXLB4geGkjy+zdT5afudIFhKqgg54utlO/KIPySEXhccQ2OszzG5mzEYbZgzNGi7uX8OedZZcIhhbxIf36f0Z85a48w79vbqfTtOXFFbtycC0g9lYTMHgizBxKUUwab/+KLGzYTGO/FkEWx9JkWjkzRvXOuIIpitw6grQwfpBJ3rop2atl3PqngrY8rePf7IIJC3OKmMdF3lxL4q7HuuQjkPuJNyW0+ABzcY+ap+7UMHKqgz32Tu7TUd2VhNatfPkjpySrCbr8QnyExnb5Pi1ZP7ld/U7oxldAFQ2HUzB6fFSVardgrqrBXGXBUGxEtVnDYQZAgKORI1J5Ifb2Q+nojSM4uiWZKOYFx5R8M+M/VTi1/wfYTvP7Uz5yMDuDm/1yNSdOzvzs3bs41HFY72r/TsKz5m+LjOgYuiGHIpXH4RXbuDcZLg5btEUXxDP/6OWvB+ey7Sl57r5z/usVNs3iknzbbWH0FDm8LQ1RLsVpFPnqzkl++1TPxkeEkTeu6KrwOu8jub9LZ+tExhl8Zj/8/Or93lM1gJv/7nRQu30fQ9P6EPP8gkh5Wx8ZeqceSnYc1txBrXhHWwhJspVoc1Sak3hqk3hoEDxUSpQIkEhBFRLMFh6EaW7kO0WRGHhmKslcsHoP6ouwd1+MFj6LgMPKBUU4te/FHG3D8sItSID67jAUrD/DdpRd07gC7GNHuwF5twW60YDdZEa02HDYHnOqlhURAkEqQKGRIlDKkHgpkamWXFrt0c34jkUsJnJAEE5Lwy9PiWL+Rz67eSMQAP4ZdmUD86OAurZp8Tlpwlv2h585Hi3n32yBiE9xF/Opw1DTHzHjdH3M/JVhtDBxUSN5jPpRdU+M3zUiz8sS9ZQQESRn2xGQ0gV13F1yYWsEfz+1D4Skj4LYFHcqecQaHxUbh7/vI+24HviPjkU+biyyg+zNsRIcDa24h5uMZmE9kYk7PxmEyo4gKQxEdjqcqHEVgMAq/AKQaL6eEit1kwlyYS6X2ONX7U3DoDXhNHYtm8ugaUdQDKX/tTaKuG4fv0NgWl3vlsR/YujuDh4B/AxfHBHLdR2dPAT9RFLFWVGMuqMBUqMNcXImlpAqLVo9Fa8BaUY1NV43dZEXqoUDqIUeikiNRyBAkkjoBI4oios2OaLFjN1trhFC1BalKjszbA7mvJwo/NYpALxSBXiiDvFCG+qAM8UERoDlny/W76V7sJiulG1LR//E3VpOd4VclMHB+tEvjOJuz4JxzAmfjtmquuKWQNz4PpO+Annnh7g78ftAT+0A5AjXWmiPbwnCoT1u2RFHk+8/1fPCfSu540AdxzsQuK+xkqbax+b1UDi3PYcq9/Si7YGqn7lt0iJRuSCH7sy14xgainDMfRWTXZGQ1h620HNOR4xiPHMd89CQSjSfKPvF4+SfgERmDPCDIpcfElJ9L8e7VWLLzCLjhUlRJCS7btitwVBvJf+hFRv5wV4sWvOee+4WpW45TCnwKRI1L5O2nFnbZONuC6BAxF+moziihOrOU6uwyjDllmPLKEaQSVOG+NYIjyBujPKzGtejjjcRLjdRLjeCharPVTXQ4EE3mGhdmlb7GnamrxMNWiKW4ElNRJeZCHXaDGWWIN6pwX1Thfqf+av5Xhngjkbmt4G46hiiKVB7KxbZyE9l7Shl0UQzDr4zHO9Szw9vu0S4qQRASgUPAj6IoXtPe7RxMMXPFLYU897a/W9ycQpZrpe/8YuRlp7sxS4wiDo/TF8qSIjvPPqilUufgys+nQoymyzKFTm4tYuUL+4kcHEC/929G6+vZqfvW7c8i88ONCFIJPtdfgapPfCfurXlEhwNLZi7GfSkYD6Ri11Wh6t8bn6gBqCcuQubt06n7V4VHEj1/Cfq0VAo++Brfi2eiGT+yU/fZFkyp6XgnR7Tqnpy85TgAgYD0tim8vbBnpLmLDhFjrhb9sQIMaUXoTxRRfbIYqacSz7ggPGMDccT0QzMqCL/QICTqhhd5V+WhCBIJgqcHEk8PCAls8J4MqN2rw2zBVqLFVlyGsbgUR1Y+2m1pmPLLsWgNKAK9UIX5ogrzQRnqi+qU5UcZ4o3cx9Nt/XHTKoIg4DMwCgZeg7qgAvuadXx86XoSxoUyanEiIX1cf83rEQIHeBfY1ZEN5ORZmXdtPm++GESfsW63FEDMXaUE/GZs8FrpAg+y3zp9oduwqpp/Pl7OxVdp8L92cpfVMqguN7P2lUPk7Csj/M4L8Rke17n7yy4j66MNVGeVoVlwIZ4jBnZ56XHR4cB8Iovq3Qcx7j2MoFLhOaQfYbMuQxUR3ezduc2gp3L/TrwHj0Smdm1skCaxLzHX30X2l+8iUXviObTtKdmdgTTjAJqWzgmbDWQy3rhtKve/t47vLxrKT90obmwGM1Wp+VQdyaUqJR/98UJkXio0fULRJIbikTAU7+gwpJrTwZY9KcpLolSgiAxtYMlUAj6AaLNhKy3HVlKGpUSLpCIP/bECzIU6zCWV2KstKIO86lxfikANigANCv/aRzVyPzVSd7d2N6dQhfnCdYsYeLEJ9aZ1fHfHNoITvRm9pDfRwwNddm3udheVIAhXABcDKUCv1iw4TbmodJV2JizI5frLvZmyxF2CvZYhsTkIp75eq7dAyp8h2CNqxF+1wcHrz1ewc6uJqc+PJXJw1xTtE0WRlJW5rH31EP1mRyJcOq9TL3zWimpyvthK6V9Hibj8AhxDpyPIu07Xi6KINTsfw/Z9VO86UCMihg/EL2IIyiDn+mZpt66nZM1ygqbPxX/slE4ZpzEvm9xvPyLs2fuQ+nRvHQtRFCl69EWS/3kZntENz0vB7mDD3NcwqRTM+uEOkHXPPZq10kjloVwqD2ZTeSgHY245msQQvPpFYg7qgzIh+rxpuOowW7CX67BrddgrKrGV6/CwF2Mp02PV6rGUGbCWGxBkEuR+ahR+auSnRI/CX43cX1MTGxRQ87/bInT+4bDY8N+1ge2fHsfDV8GYm/rQa0Ko00KnR8bgCILgDewGpgA30Q6BY7WKzL0mn94JcpY87XVWNgRzGVYHES/pyHu6JlA2/AUtIR8byH7Wh7LrT/cPSTlo4Yl7yug/REHS/VNQarrG4qUrqObPF/dTWWgk9O4FePUJ67R9OSw2Cn7bS953Owic1BfplLkN7p47G3tFJYbt+zBs3YPDYkF9wWD8Y0agDG57rE9LFhxXWnfyty1DtNnwv/qiDm2no1jziyh7+2OGfXFrg9+z4BD5a9YrdfWIdg2K5t5XruiSMdnNVqoO5VKxLwvdvixM+eV49Q3He2A05tB+KGIiu1Q4n22IoohoNGHXVZ3+q6xCLZbUCKFyAxatAYtWj91gRu6rrrH+BGrqAqIVQV4og71RBnnXBEW7s8POOUS7g7Itx6n4cRMCMPaWPvSZEt6q4O2pAudNIF8UxX8JgvAMzQgcQRBuAW4BiI6QDcvYXWO6FkWROx4pISvXyrMf+SOTnb/ixv87PTEP1QQRZz/vS+l1Z96F2+0iSz+o4quPq3joOT+qxk3okrGJDpG9P2bw139TGXFVApY5c5DIOydoURRFyv8+QeaHG/CI8kc1byHysK4pTija7RgPHkW/eRfmtEw8h/bDv9cFeER3Xkq2s9YdZ4SQraqSk+/9i4hXH+vWzCrJ7lVUZ5bS675Zda9JbXY2XPga0lOXKxGY+eNdGLw7x2IriiLG7DLKd52kYncmVal5qOOD8RkSgyVyIMq4KIRush6d64g2W00wdIUOe/kpi5CtEEtpFebiKsxFOmxVJhT+GpSh3qhCfVGF+aIM80EV5odHhB8yL3cNpLOZ2ut4xfcbsFsdjP+/pBaFTo8LMhYEYTAwDRjS2rKiKH4IfAg1Fpza19/9n44tO4z896eg81bcCEYH/cfkI9eeFqqhb1aeIXCKCmw8dZ8WhwOu+mo6VWEdj1x3Bm2WnhXP7sVhddDn39dgiwnstIrAhowSMt9fj0Wrx+vyRXj0791Je2qITVuB/q+dGDbvQhrgi3//MXjNuQ6JsvMb0XkPHtngsTkq9++kZM1ygGaFkMzLG0V0OKbUE3gOTnbtQNuAbl8WQVNO79+7wsAfl73bIPh82q/3YPJw7fG1m6zoDmRTviOd8p0nAfAbEYd89ATCb4ivCdQF3FNn5yLIZMgC/ZAFNizZIAdqbbCi1YZNW4GtVIuttBy7MQ/tljRMBeWY8isQZFI8Iv1QRfrjERWAZ5Q/HjEBqEJ93ZafswBBEPAfk4jf6F6U70hn28fr2frhMSbc3pdeE513XXXnLcgkIBbIPjVYDSAVBCFZFMWhra28bnM1L72p5cOfg9F4nZ8nbORTWoI+NzS48FdMUXLy04YWiw2rqnnpsXIuv16Dz9VTkEg7Xww67CK7vjzBtv8dZ+xNfTBMndlpFxZrpbEmzmbjUaKuHo1t0FSETk5rtVXq0S1bhb1chyU9G89Rg4m68laUIZ3ndmsKmVrjVFyOs0JImRiL5WROtwkc0eGg8nAuCaesN2q9iZWXvXv6fWDaL/diclHclkWrp3x7Otq/T1B5KAd1rxD8RsYTcNdNyMKCz2+Xdw9GkMuQhwQir5cZpj71J4oijkp9TTHMwhKsFdkUHszBmF2GtcKAKsIfdVxgTTZbXBDq+CDk/hr3d90DEQQB/1G98LsgAe22E2x8ex3bPjnGpLv7ETOi9d5y3SlwPgS+rff8AWoEz22trZiRbeXaOwp59i1/IqPPTzOxPMtC8OeGuucOKRzeEIwt5vRdrdHo4I0XKti+ycS8N8bjN9C/S8ZWerKSFU/vRaqQ0vc/11Md7tcpqd+i3UHRnwfJ+XwL/uN6E/LsA9i9OrdXlcNswfD3XnS/rsZRacBjaD8S7nnKKWtNW+NlXBlf46wQ8pSFUJl3pEP76gi2whJkXh4o/Gru1aV2B39MTWb0rpOozDam/XYfdHAiqs4uQ7stDe22NIy5WvyGxyEZOIKwq69BovZEpMZa0BFkZjM3rt7MqLRMNGYLq4b0w6SQM2PvEZ65ci4nI7pWCJ9PCIKA1MerJli+TzxwAXLAm5rfrzW/CGteIZayDCp2Z2A4WQKCgKZXMOpeIagTQ9AkhqIM9XGLnh6CIAgEjE3Ef1QCpRtTWfHMRvyj1Uy+px8hSb7Nr9fdWVS1tBSDU5+hA1SiCFx/mRcTrj/PMqZsDlSHLJiG1BjJBybnIjWI5DztQ+kS7waLph218NidZST2VdDvoSmovDo/kNhhc7Bj6Qm2f57GhNv7UjlhRqdlQ1Sl5nPy7TVIVHLUixahiA7vlP3UYiuvRL9+G/q/dqLsFYN3zECqjhwgeOb8TsuG6orsqcboj6dQdvAvgu+7sUv21xjDjv2IKXu4+sJB/PO5X7jw+zuxKuV46k1Ut7O3lCiKGNKKKNt6HO3WNOwGM36je+FIHIYqKd4lsTThxaUsfeNT4otL61yw9c/8k8EBBFXq8TKZqb3ifjF+JE8uXtThfbvpGKIo1lhis/Px0J1An1aE4XghDqsdTe9QNElheCWFoUkKR95JMV9u2obDasd78xq2fnSMwRfHsvWjYz0vyLg9BPpLxRmT1PzjjfNLXfv+YiDuHi0A+9LDQCZDKLci+soa3NGKosiPXxp4/3Ud9z7ui3nqhC45TiXplax4ai8KtQz/Oy5GFdo5heos5QayPtmEbk8mMTdNxJQ4vlM/n+l4BuXf/o6tuAz16CEE9ZuEIiCoXeKjOy04zqJPS6Vs/0aC77+pS/bXGN2K9TyYdpjHD+UBkBXpx3UfLMHWxqB00e6gKiWPsi3HKduahkQuxX9sIvbEEShiI10S9H3tum3YBXj62+Uo7fYmLYciUK2Qs2pIP5JzCuiTX9RguZcvmsZ786Z3eCxuXI+tvBJLRg7KsuNUpeZjSCtEEaDBKzkCr/6RePePQBXud17NQz0Nm8GMubiSA7d+em4IHA+VRFy7PxwPz/Mj7kZSZqPflELkFae/p5LLPMl55cy6NboKO889VE5hno2JL04kILbz65nUWW2WpjHx9mR0E6Z3yg9etDsoXLGfnC+2EjStH9LJ8zq107c5LRPdyo2Yj6Yjmi0ETJxJ4OSZde93h/joCioP76MiYz9Bt7e7oHiHuO7td3h+f07d85PRAVz7sXPWJIfFhm5/Ntqtx9FuT0fu50nA2N5Ye41EHhHikvPyhpUbeeKnlUjFGgvNiiHJzNmXggB1lhk7kBXkx8PXXcyepF446okpwWZj/93P4mu2wKl1Yj9+ucNuN1dhrzJg2Lob9djhSL26rqzC2YBot9f0iEvPQpp3jMrDuYgOEe8BUfgMjMJ7UDQeUf5uwdMNbJvx756VRdVeImNl5424ibmjlIDlpysRi4BunIKcf58ZS7Nvl5kn7iljyiwPRr4wHZmi83vHlGVW8fsTe5B7yOj75g1Uhvp0SvxLrTtK6iEn8P7/Q95JfaNEUcR05DiVKzZg0+rwnjWB8CmXUHV43xnBuc7GtJxt2Cp1SH29W1+wE/jHjyu5u564WTOxD888vqDFdayVRip2nUS7/QQVuzPxjAnEf2wigQ/NQh5ccxPQ0XDkoalpfPfG/5Dba9qd1J7jIpARGswbc0MZkZ7JDXctxtpKLJYokzHov8+TeePDCKe2FVNcRlajNgrdhWHrbip++AMA71kTu3k0PQtBKkURE4EiJgIYg4coYi8tx3TsJFVHU8n9bgeizY7vkBh8hsTiMzQGZWD3Fs083znrBI78PKn2Hb+4GN8N5rrnVl+Bw3+HIXo2FC52u8in71by/VI9U54cSezEzg9eFB0iu75KZ+vHxxh/W1+qJnZOrI2tykTW/zah/fsEsTdNwtS7c9xRoihiPJBK5e/rEC0WAkdNx6vfYARpzbE+F4VMcxjNhci7IQD2io3buXvlxrrnB/qENiluHBYbVUcL0O3PQrc3k+rMUrwHRSP0HkTogkuR+ni5JEgYh4MP313KlP2pyGgYTyMCeqWCJXdex87kxHZtfuXAvsw5mAqA3Gbv6Ghdhnrs8AaPbppHEARkQf5ogvyB4aguF7GVaDGnnqB85xEyP1iP3F+D7/BY/EbE490/stXeam5ci/to9yREEewiyCScfMufIQMKAMh6zhft9WfeCZQU2Xny3jLsdrjqqxl4hXR+AFx5roHlT+1BdEDf/1yPvhMypERRpGRdClkfbyRgbG9Cnn0Qs6dHp+zHuC8F3W9rAZGg0TPQJA3otKJ8ZwOWrHzUo4d1+X439u+NA5AAX8UGsqTMQMB/1yH3V+MwWzEXV1GdWYIxW4tHTAA+g6JRzZqNb+84BLlrAugFu50pB47y9HfL+WzyKGbsT21grbELsDM+hisf+T/o4Dny+fQxdQKnJyH1UrstN+1EEATkwQE1lsOJF+B5rQNLZh6ynH1kf74FY1YpPoOi8RuVgN/IBBQB545ru6fiFjg9hIgntQQvNWCKl5G6IQy8ZWS+4U/5HBWoznQ3/f2XiafvL2PR1Rr8r+v82jaiKLL/p0w2vp3CmCW9qZ4+q1Pq2hhztaS/uRq7wYT/bTegiI9y+T5qLTa6X9eACEFjZ6Hp069bfOc9KZbHYTZjLShGHhPRZft88pvfWDWkHzuTEnj2irkcDQ9le79E/LPzMaakIehLkShk2MP7oBk+Hr+o8Loqy666eMXl5PHHi+/iYT0dKHznyo3sj40kOSef9OAAFj56Oya164pj7kjqxaGocAbk5FPl6S4deC4iSCQo46MgPgr/iTXxTabDx6jYe4DMjzbiEemP/+hE/McmntFzzY1rcAucbkZxzEzyhcVIrDXPVSdtde+VX3xmkJ/NJvL+6zpW/FTNzJfGEDiy9WJHHaWq2Mgfz+7DoDXT55VrMMYEutya4rDYyPtuBwW/7iXyqtHYh06rcxG5itoYG90vqxGtthphkzSgW4MCnakw3FVUZ55AEReFRNE1vcl+eOldRqZns2jbXuY+dRefTR9f954iOrxB6n9nSL+bl6/nsWWr6mJharFJBJaNGszzV7Yc/9MRnvr6VzICfCj20VDk1zkZh256FlIvNerRQ2H0UDyvsmE+noElbQ8pD3+HVK0kYFxvAsb3wTM+yB2o7CLcAqe7EEUSFxbhtc96+iWg4PbmL+WF+TYeu6sMT7WEK7+eiTqg81sBpKzKZfXLBxl6aRy2BRci6YQKwbqDOZx8cxWqSH+Cn7wXh7+vywWUOS2Tip//xF6pJ2jcbLySB3a5K6opa42zFYa7gorcg3gMTOqSff3x9Bv0yy0EwK/aiKMLL+hXbNjOC1//gswhNnRBAY9cu5AfJ4xE7MRz45YVG1iyYTsA67uonYibnoUgk6FKToTkRELmObBk5OA4voujz/yMRC4jYFISgZP6ui07HcQtcLqJQX3zkBpPp35X95JybFkwonfTX8nmdUaef1jLlUu88LpicqcV0KvFWGlh9T8PUHCkgoRnLsORFObyHlI2vYmsjzZSvusk3pctxHNYf5du315loHLFeiz5RdgKS/GZP5XAyAtcbhmqT0sup6asNT0lG0u02zHuS8FnbiePRRTZe89zBBiq6156cdFs8gM7t8r2zSs3csfKjRwPC6FvXgFyR81vTwR0KiUTX/gHFV1kSXno5z/r/v9w6pgu2WdX4k41bxuCRIIyIQYSYgieJWLJyMGesp2Uh79D7utJ4NRkgib3RRHgzshqK26B05WIYl29C3OEFM8TNkQBjv4QhHFE0354q1Xkv6/oWPV7NXP+PRbvoZ2fTpqxo5gVT+0lcWIYiW/fjFTlWpeFKIqUbT5O5nvr8Bvdi+CnH6hrZOgqbGXllLz7BdasPFSD+hJ/26NIOqH7c2NB05LLqSdZaxpjSEtFHhqErJOFxqZH/tVA3Fx97xK2DOjTKfsSbDbWPvUGCUWldZaakScyWdu/N5NSTrB2YBL/d8e1HQ4YbgsSm61Bhteuvu3LwurJuFPN248gCCjjoyE+mpA5DsxHT2I8vJ39t3yKpncoQTP64z8mEamya9zIZztugdMViCK9Li/Ga4eF/QfDEH1kHP8qEL8/jZQtbr7mSGG+jcfuLEPjVeOS8vTrXJeUzWxn41tHSF2dR+S981AOj3P5PixlVZx8ey3GnDJ8b74GZaJr9+GoNqJbsQHD5l14jhmKd/wAfIeP6RRxA2daZVoSMZ1trelIwHJZ6t+ox3VuanCIVodPtanu+ZTn7iM9wvU1jaLzClj1/Dt4WG0NXJ0WqYSXLpnDpzPGN7tuZ7P09Y/r/jco5Njk594l2J1q7hoEiQRVci9I7kXoAgvGfUcoXrWdjHfWEjAxiZA5g9D0cq5NzPnKWVfJOHmgQvxyeecUeusM/H6sIvaBCoRTh9nqI3DoYGSr621Zb+S5h7RcdaMXmss73yVVfFzHr4/uJiBOg9eti1zec0UURYr/PEjW//4i9MLBCBPmIrjw4i7abFRt2E7livV4DE4mdMQcZN41LofOzFRqatv1X4MaEaTu3Q/D8SOdmi3VUvuIlo6BtVxL5ievE/7vR+sylFyOzQYyGX6VenY98CKXPXALe3u7VtzG5hex7OX38TNUN4itEYE/BvXljrsXu3R/7aG2wB/ApOfuJcPddNNNG7GVlSM9tJmiVYeQ+3gQeuFgAif3RepxnhSJa4JzppLxWYPVQf/RBShKHHUviUDWq34trmazibz3mo6Vy2pcUl6d7JISHSI7vzzBtv8dZ+r9/SkbOdXlEfymggrS/7MKm8FM4H23Ioly3UW9tpZNxY9/IAvyJ/qa21GGNNy+qzKVmhIJTVll6u9PFEVK167AkJFO9YnUDo+hJVqyHrV0DEpSNqIeO7xTxI3gcLD/7mco8/Lir36JvHjFXHp9+E/X7cDh4OGfVjLiRBYaoxn/U+6v2qDhe5dcyu89xJKgbiS83OLGTXuQBfjBpPmETJiL6chxyndsJuuTTQROSSZs/hA8otyBybW4BU4n4PtDFXEPVDQwj5dPV5LxUVCLPWdKiuw8dlcZCqXAFV/PRO3fuS6pqiIjvz+1B5vJTt//LEYb5trsJdEhUvjbXnK+3EbEZSNxjJzp0gBfS04+5d8ux1GpJ3T6xah7NZ0B1FrsS2Ph0py1oymRIIoi1vIyTPm5WIoLsJSVYCktRqJUUbJ+JdjtgED1iVQEuYLKQ/uwlGtRx/dGnZiEpIOluRuPtb54qf9ec8fAXm3AsHUPoc/e26FxNMeBu57Bx2TG12gmvriU566a75LtelVWsvmx1/A1murO2ceums+zX/9GQYAvCx65Ha1/z0q/fvTHlXX/fzLl3AsudtO1CBIJHgOSYEASqrJyhH0bOfyPb1D3CiHsomH4Do/rdMt/T8ctcDoBc5Sc2u57NrXAkU2h2INaPtQ7t5h48r4yLrlGg9+1Uzr9xDy2Lp+VL+xn2OXx2OZf6PKifcY8LSde+xNEkaCH70AMDXKZeLJX6dEtW0X1vhR85k0jKH5si8KptdiXxsKlOWuH9+CRiKKIMiwK7baNVGemY8zJQCJXoAqLRBkSRmBAMsrY8cg9fZCp1EikcgRBwOGwYzMZMFeVorXnUrFrK0XLf8RvzCT8R09st/BryTJTvnML2k2rsVssBE2e1eQxKE7ZgMew/sj8fdu1/5Y4dMdTeJtOtxsZ9J8nGzSebA/Tdx3g/Q++QSo2TPEu8vFiT2IcvT75V4e231kk5eQzPiWNd2ZPYtqBVJ6/uvNq7Lg5/5AF+MG0hYROnIthxwGyP91E5gfrCV80gqBp/c7bFhHn56d2MdJSG70vLcbhIXDsjzCMo1QUL1ZjTJSjvbrl1D6HQ+STtyv58Us9018Yjf8FwZ06Vku1jbWvHiJzRwkJT1+KvW+4a602dgcFv+wh95vtRF49GvvQ6S6rNyPa7FRt+JvK5etRjxpM/G2PIPXoeHXZxtaNxo8OixlD+jH0x45gSDuKRKlCHZ9ISPhQNIMXoVC3bimQSKQoPL1ReHrjRTyET8CkKybj4K9kHz1M5FU3IvVse0qt9+CR2C0WHBYLNoO+gcVJaPTYGHu1Af2G7YQ+eVeb99siosjBO59uIG6mPHcfOq/2xx4t3Lqbf336I4pGwkYEHr5qPt9PHduhIXc2K559C5kocunW3Yx848nuHo6bcxRBLkczbjjqscMwHztJ2aa1ZH++hbCLhhI6bwgyzflVNdstcDqCKBJ3Uwl+a2su5CIQ9WAZOa8EkPdM6+m25Vo7T96rxWQUufKrGXgFd24vqcLUCn55ZBfh/f3o/fZNyNSudYHVWm0EIOiRO3GEuK7isSn1BOVf/4bU15vo6+5AGey6QPPGFh6ZWoPviHEY0lKoPLyf6pPHUYVHoUnqT0yv6Si9XOPjVvkEkzTuRk4e/Z28bz8l6vrb2mzJkak1SBUKStYsR6JQNPgcviPHIVEomnXNFe1fjeeIgciCXJsafuOff+FTT9zMfvLOdmdLzd51gABdFS9883sDYWOSSpn36O2kxbUesN/d3P/9cmSnkjn8K/XdPJpzB3e9neYRBAFVUkLNX24hxs2r2Xv9h4TMGUTYxcNR+J0fx8stcNqJ5w4TfS4vqcuOArB7Qt6Dzad91+fQXjOP3FnGzHmehN40Bam882px1Hb/3vbJMaY/NJCSYa4Ncq0faxN51Wjsw1xntbFpK6j4fgXmkzmETFvQqa0VRIcDY9ZJdAd2oT96GFV4FMFhg/EdcikyZY2lyGrSU3hoAwGJI5CrOp4NJQgS4pPmkVLwPrp9O/EdPrrF5dtSDbmlmBzRYsGwdQ9hz93X4c/QmE9mT+TBX1ejstoY99KD5Ia0MVBeFPngrc+YeuQ4cruDNaeqK4vAwahQFj52B3bFWZIxIorcvWpz3dOPp4/rxsGcW7jr7TiHIjIUrrwO+XQtts2r2H/TJwTN6E/EZRec80LHLXDaQfL4fFTZ9rrnIpD2WQD6ya27S0RR5LvP9Hz8diVTnxxBxOTwVtfpCPoyE8uf3Iu5ykLSfxZTEubr0u2bCnWceG1lTW+nh+/A4aJYG9Fmo2rtVipXbkQzeTQR069C0kmTmq2qEt2+Hej27kBQKPEZPILYPnNQeJ4pVsvSdpG7uybmJXTAZKf3YTXpKUvb1aQwEgQJ0ckzydi5rFWB05FqyPXXNZRn4TVtLFJf5wS5M3z78nsU+Ptw3y1XMeg/T2JWKlsMqm+Mh8HAX4+9RpDe0OAcGnoymxlP3sXx2O6x1oiiiGg0Ya8y4Kg2IhrNiFYrov3UNUAiQaKQI6iUSNSeSH28kKhqrKNPfvFzA8vTy1fM65bPcC7irrfTNmSB/sgWXknwJB2OzX+y/6ZPCJ41kIjLRiL3cV0j2Z5EtwocQRC+BKYCaqAQ+Lcoih+3vFb3Y4qT1QmcqiFy0n5xzvxebXDwwiPlZJ6wcsXnU/GL6tzu0Se3FbH8qb0MXBCN4+J5Lu0jVVPX5hBZ/9tExKUjcVwwy2VWG9Oxk5R/uQypvy8xN9yDIsD1DUVFUcSYmU75rq1UnzyOV/Igeo27Fs/AqBYtRAGJI7DbzNitFqwmvdNWnNaEkSYkDltlBTZ9FTJN83FbHamGXLuO3D8I854t+C+5rM3baArB4eDo/z2Bym5HBP43bTyH2tAFPlBbwdZH/o3Sbm8gbETg+Utm8cls54VkR7DrqrDkFmDNL8ZWVIqtuBRbaTn2ch0IAhIvDVK1B4KHCkEurwvMFx0ORIsV0WTGrq/GUVkFUimyQD9uzCmo2/6r7YwTcrtimkbqpXZbbtqBzM8H5l9O8LgK7JtWsu/GTwi7aCjhi0acc7V0utuC80/gRlEUzYIgJAEbBUHYJ4rinm4eVwN8fjMQ+3A56f/1Rz/Zk5OfB9F3aiHHfgjCEeDcIcxIs/Lg/5UycKiS+Z/ORq7qvH5IdquDv95N4fCKHGIeWABDYlzaR8qi1ZP+xiospVUE3v9/iJGhLrHa2Kv0VHz/B6bUE4RMvwhN34Eud0c5rBYqD+6lfMdmcDjwHTmWxCGXIVU4F3wnV2mQypTk7l6OVK5o1orT2GJTXxgZdUXoslMaWHMEQYIiMARLWUmLAqcj1ZBlag1+oyaS8ckr+F0+12V1b47c8RSqU9YMAajycC62S24y8fsL75JUUHxG4PAH08fw8hWdl2nkMJowp2djSc/CnJmLJSsPrDbkUWHIw4LxVIUiH9QPuV8Acm9fJErn49VEUcRhrGbQ4X0IOT/XvAY8smMfwt7DKHvFoEyMQ9k7DnlESKs3Bm5XjJvOQObvW2PRGVeGcdXv7L3hIyKvGkPInIGd0lS5O+hWgSOK4pH6T0/9JQA9QuDIim0kXViEorimWF/83VoOHvIEQSB1vfNFulYvr+ZfT5Zz9yM+2GZO6qTR1lCRa+CXR3bh4asg6Z2bkPu61vRYtvkYJ99ZS8isgWiWLEFwQQsEURQxbNlFxc+rUF8wmPj/exiJUuXSCsQ2g56KXVup2LUVVXgUMYPn4R3eu10CKiBxRIPHpmhssakvjKrLctDlpta9V4tEqUS0mJvcnqsoSlmHNMAPD1c0NhVFUm97Ak+rre6loa89TlkLbi/BbufTNz9j7NETaL3U2AVJbUUFLFIplzxwEwd7x3d8bI1wmMyYj53ElHoC07GT2IpKUcREoEyIwT9pFKopUch8fF0iqAVBQOqp5tXtf9W9dt11t9ErrhdWbSnGnEyqck5QtXYLjmpjndhR9o5DERmG0Ghycbti3HQmsqAAZNcsRjY+D+3vv1L4yx5ibpmE3wUJnRbv2FV0twUHQRD+CywGPIB9wB/dOiAAUSTxkmK8dltOvwRUjmrbHa/VKvLWPyvYtNrIxf+diK2vr2vH2YjUNXmsenE/o5f0pnrGbJeenDaDmYx311KVkof/bdcjSYhxyXatBcVol/6MaLUSdeWtqMIi6t6rjRmpzkwn9KIr2yVyrBVatNs2UnlwD159B5I043Y8fDvWv6XWItNcTA00LYICEkdgt1pw2M14BkSdIZAcFjOCovOKO1rKSqha9RehT9zV8XNDFNlzz3MNxM30Z+5pUdy89e4XzN97uM5aE1JRxQ13XssVW/Zw182XY1G5LoVVFEVsBcUYD6RiPHQMS2YuithIVH17ETptER7hUS4R501hM+gZt/QDMuVylo+bRnx5CbviExEARUAQioAgfBgBU8FaWYExM52qwhMYtuzGVqpFERWOPCYcxSlrkiwkCK+ZE876ycZNz0YRE4H8jtswHTxK1oe/UfjrXmJvm4pn9NlbGbnbBY4oircLgnAXMBqYBJxxCysIwi3ALQChEZ1rOhOqbQxOLmiQHWXzEji0OQTRz/kOriVFdh65oxS1RsJlX83Cw6fzfJs2s521rx7i5LZiEp67HGOfMJfWttEdzOHEK3/gOzyWwCf+4RLXhmi1UfnHBqrWb8Nn/jSCek04w1TvPXgk1ZnpGNJSqdy/s02uGUtZCWWb16E/dhifIRfQf8FDdUHDLQX8tkbtunabmYL9awCaFDtyleYM95VcpUEqV1BwYDWRw+cCNMjIslVokfv4tmk8LVHfAib18CR/9Xd4z5nskrRw36pqfIwmHIAEGPWvhyloohO53GRi0+OvEV5ReUZ8zYLH7+BAfDQbhrjAmkRNLIwlPZvqvYcx7k9BtNnwGNiXwKGT8VzUC0knisf6eK/7g8+L8ugHLLTZmHvXo80uK/f2RT5wGN4Mg8lgNxkx5ediLsil+ngG+k07sBaVgd2O1N8HqbcXEo0nEk8PJColgkJeI9Sk0joBJIoiiCLY7Yh2R00wtN2OaLUh2myINjucehRtNkS7A2x2RIcd7A5Eh6NmfVGs+aKgxvcoCCAINbFHUimCTIYgk9aMQS5HUCqQKBU1wdYeKiSeKiSenkjUHkg0nkg1aiReapdWM3fjWgRBwGNQX1T9eiPdu4bD//ia4On9ibp27FkZn9PtAgdAFEU7sEUQhGuA24C3Gr3/IfAh1DTb7MyxCGah7kctCnD05yCMQ9t2Z7lvl5lH7yjj4qvV+HdyVeKyzCqWPbQL/xiNy2vbOKx2cpZuoXjNYXyvuRTloL4u2a75RBbaz39EFhRA7M0PNDupy9QaQi+6skHjytawlBZT9tcaDGlH8b1gHAMXPlqX4l1LrfuoqjCd2PFXtEnk1K4bNmgGkcPn1okbZzOr6lt26q8X0Gs4DqsVmbdvg+Vba+bZklWrftaULUiKaLXh1dE0ZVHk+rVb+Xz6OHp99E8WbdnFX/0SKfFrOG6l2cxvL7xLn/yiM4TNyUA/pr34AA5XuDdPiRrDrgMYdx9ColHjMbQfEQsXowwN73qrhyiyau92PgNuAF4YP71Nq0tVHqjjE1HHJ1JfLtpNRmyVOmz6SuzV1ThMRhwWM2K1FYvaDBYrjlO1doRTQgSpBHm1AkFySox4ShGkMoRacSKt91wqBYkUQSKpudGo3QYCglBPNIliTVC13Y5orxVMNhxWC6K1puCkWajGXq7DmleEo9qIw1CNQ2+oCcA2VCPx8EDq41Xz5+eN1N8XmZ8P0kC/mkwff1+XNuKtO4ZNBGu7A7ibRpBJcYycRUifsVj+WMa+Gz8h7vap+I9NPKssiT1C4NRDRk0MTtdhshN3pxa7r4TsVwNw+EkpvdwTebGdk5+1raqwKIp886meT9+tZPpzowgY27mt7I/8kcPqfx9k4u3J6CZMd+mJV51dRtrLy1EEaAh+8n6k3h3P+HKYzFT8/CfG3YcInr4Qr36DWh2zs0G1Fm0ZZZtWY0hLwe+CCcQPWIhMcbpwYn2rTUDiCKoK09HlplKWtqtN6d71BUqtMHImJqeW+pad+utVFZzAIyruDCtWU2nhzjYPrRWFHjEJ5H77ESGP3t7hTLft/3iJMF0lDkHglzFD+Wlcw8+8YNse7v9tLT+MHkpSfhFwOrjuq3HDeeKGSzu0/1qs+UUY/t6HYcd+JEo5niMHEX3tHSgCO7cSeGv89vY/CQIepOYz/znYNXEzUpUHUpVHiwUuXRmz1lmIDgf2agM2fSW2qkpslTqMghZzejbWbXux5hchms1IfbyRBQcgDw1CFhqIPDQYeXgwUv/2x0k1FaztDuBuGamPFx5XXocw9CTZn/5A8ZrDxN85HWVQyxX6ewrdJnAEQQgGpgDLASMwDbjy1F+XEPpqBWFvV9UFOXoetHB0dRg5/267z9FY7eD5h8vJTLdyxefT8I3svLsBq8nOmn8fJHtXCb1fupLKhBCXuaREUaRoxQGyP9tM9OJxWAe6pru48chxtEt/RtU7nrhbH2pXW4KmsFXqKP1rDVVH9uM3chwDFj6KTOFxRkG+xlaW2PFX1AmettCc66k1kdSUW6z+eiVlR1AnnraQ1U5W6t79gIZp4c6mitdmTWV+9RY+86YhD+1Yuv2O+54n9FQl3ue/+Y0fx52evCfuPcxn735Rl62XlF+EXqnAJpGw5K7r2NOn4/ctDkM1hh37MWzdg72iEs8LBhN56RKUId1gqTlFfVERKDrorS2te++5WV3bb8pZ4dudCBIJMo1XTaZgaE28ne+p97Rb11NyIpPAqRfi1W8QVm0plrISqosLMe5PxVpQjGixIA8PQREZhjw6HEV0OPLIMCSK1sMHmgrWdgdwO4eqTzzKx/+BuGUFB27/jOjF4wmZ0/oNanfTnRYckRp31PvUuPGzgHtFUfyts3es2Wyk1w2lSKz1BiOBzFf82rW9nEwrD9xaRp9+cub/r3NTwMsyq1j24E4C471JfOsmpJ6uc0lZK42kv/4n5iIdQQ/ehi2848LJUW2k/PsVmI6kETb70gaTeEewG41ot66jYs92vPoPJqTPWILDx9ZZbRoLmsZWFmdEiStwJmbHbjVjSEsleMbpTtstTVZtSRUv3P8nEg8VmiktFxBsjZVPv14nbgDmPXYHRpWSf/7vO67cuhegQar3X8mJ3HnbNR3aJ9QIbvOxk+j/2onx4FE8+vcmeNwcPON7u6zuUkeo/z3t3/Bn3esmqYxvRnWtRaAjNZJ6AvXHL1NrUPgHou6VRP2rsr3agLm4AHNhPoaMHPQbd2ArKkEWEogiNhJlQjSK+GjkYcFnnB9N1c1x19JxHkEuQ5i8gMDECyj66hvKNh+n1/2zUAa7rlioqxFEsVNDWlxO8kCF+OXydvYhEkV6zy9Cc/C0shGBwjs0FDzUPnGzZb2RZx7Qcsu93kjmTepURZuyKpdV/zzAhNv7Ujlhhkv3pduXRdorfxA4KQnptItc4gM3HjqKdunPeAxIInT0AqQuyJJx2GxU7NqKdvM6NH2SiUmcifbkPnJ3Lydy+Nw60dKRQGJXUnhoA7m7lxPSbxImXRGRI+ehy05pMN7StJ2UFB0i8uqb6tZzhbuhOuskeT9/TthTd4NU2u5Yg+XPvsmA7Py651fdt4T5Ow5w+bY9Z8TXVMtljHjtMQzqjlno7PpqDNv2oN+0A0EiQT1hJIHRI11m+XMV9b+ntFeeqjseIx96jkrPnukmOtdwWK2Yi/Ix5WWjL8/Ekp6F3WBEmRCDqnccyj5xKGIiz0i/P1/ojDgj0W5H2LaS/GV7iLt1MoFTk7vVmrNtxr/3iKJ4hhmup8XgdCrK41Y8jtaIGxGoTpZxbFkwtMPiUtsF/KevDMx9bRzSIZ2XSmez2Fn36mHStxaR+MIVVCW6prAegMNmJ2fpVkrWHMbnusuR9e/d8W1WGyn/djmmY+mEzb0SdXzHtymKIvqUg5SsXY4iMJikGbfh4VcjdJuKgekqC01r1I7JbjOjy03FKzShwXhFUaTgxBYCp8xusF5HCvpBzZ1u/q9fELD4EqS+3lT+ualdsQaXbN7ZQNx8NHUsn7y9FA/b6fRwEcjz82Liiw9ia0NBvKawZOdTtX4b1bsP4TEwibDZl+MRHddjTeEytQb/MZO5bvtf/B3bizGZJ9geE+8WN12IRC7HIzIGj8gY/BgP1LRfMeZkUFl2AsPSZdjKtCh7xaFK7oWqXyLy8JAee065ms6IMxKkUhg/l8DoIeR+/hXlO9OJv2emyxs4d5Rz3oKjPGIm6eJiDu4MR/SRgtlB7D1l5Dztiz3M+bTv+lRVOnj6/jIqtA4m/msqmqDOa0Gvy6/m5wd24hWswveuS13a7t5UUMHxl5cjUytRX32NSwKJjUeOo/3sRzwGJBE2ZgESZcfHa8rPofjPX3CYTcQMno93eMcFU0t0hvWnuW3q8o6Ste83Ym970GUuF9HhIPuXj5GHBuF3eU06envv4iKLyrh59Sau27ijJlZNENjcN4GJKSewAb8OG8j9t1/d4fEa96VQtWYLttIyNJNGE5gwpsWKzq7AVUG5H332HuMz0/hm0AgEqZRn5rumBYYb12Ez6DFmnqCy+CjGw2ngcOAxsA+qgX1R9e3lsqrePZHOzhRzWKxYV/xIxe4Mej82H68k54vguorzzoIjlFvpP6kIeUWNgBs4Mp/jPwVh7K8i8/32B1tmnLDyj1tKGTFayah/zuzULuAnNhey/Km9jF6cSPVM1xbuK/3rKCffXkvk5RdgHzGjw5Orw2Sm4oc/MB5MJWzOFah79enwGG36KkrWrsBwIpXAybOI9B/ZYJzNiYa2vN7Ua43jdzrL3SWKIjkpawgYP82l8SRFR9biMFTju+i0VaitsQbv/PdLph9IRSI6kNsdpy2Gosi340fw9typ7OrTsYrDDqMZ/ZZdVK3ditRbQ8DQSXj1HeCSOinOiBdng3Jb2tawk8cZn5kGwBUHdtH3mdfbPA43nY9MrcGr32C8+g1GnCRiKS2mouQwVWu2UPbRt6j6xOMxtB8eg5ORanqWG7SjdHackUQhR7nwSryiD5P65E9EXjWKsIuG9QgL2bkncOwO4m4rw3eVqYEbp7q/AmO/jpnPNq428sIjWu56uHNbLjjsIpvfS+Xgb9nEP7EIY/9Il7mk7GYrme+tR7c/i4C7b8QR2/Ftm09kUvbJ9yh7xRB380NIPTxaX6kFRLudss1r0W5Zj/fgEQxY8HCDlO9amqs/05bXm3qtscurue1ZTXqKU7aCIBLcd1yL4qepbehyjuCwmPDqP8S5A+ME1RlpVK3dSugTd7Y75uCe71cwb8+hBq/VxtfMfepuToZ3rPyBXVdF1dot6P/aibJPAhELrsEjKrZD22yMM+LF2aDclrb1xdL36/7/pd+Z3+PZkNl0viEIAsqgEEKCQiB5KnajEUNaChUHDlD+7e8o46PxHDEIz2H9kXh27Fp2PuE5rD+K6DBKPv6cqpR8et0/q9uLA55TAkeWYWXApMIGE7YlQODob8HYItt/oB0OkY/erOTX7wwseHM8tgEdrwTbHAatmV8f3YVoF+nz1hIUfq67m6jOLuP4C7/iGRtI4GP3IfHomPtItNnQ/bYW/eZdhM6+BK++Azs+xowTFP3xMw6rFdFmxdOqaVLcQPP1Z9ryujPxO7Xv+UQnU3hoAz7RyeiyU7BbLRQcWA2AVKY8I+anvuXHJzqZqsJ0fKKTAXDYbWTvX0HQzPkus95YdeXk/fIlgTddgczft13beOzb5dy6ZnPdcxGwSiRcc/cN7BjQMdegtaiUqlWbqN51CM9Rg4lZch8K/86JXXNGvDgb59Tctr786I26tHgReGzRma66sz2zqTXOBQuV1MMD74HD8B44DMcsM/rjqVQc3EP5d7+j6tsL9ehheAzs02mtPc4lZEEB+D9wF+Zl33Honi9JemYhqvD2JfC4ZDzdtudOwBZ+WtqIQOarfpRf2rEfnb7KwZP3lqGrcHD5lzPQBHZevE3eQS3LHtxJvzlRcOn8mpLoLqJ49WEyP9pAzJIJWPpN7rD50JpfROlH3yL18yHulgc7HC9hq6qkePVvGLMziBk6n2ptPgUVa2jQM6MRTQUSt+ROaqqHVO02GtfNaWo/tRlRtUUCwwZPJ2zQDBDEJuvp1LfaAHVBxh4DQsgp3Ircz99lafMOq5XcZZ/iPX0cquRe7d7O9Rv/rvvfBiS//QzmDt7FWnILqfxjA6Yjx9FMGkXcHY92+mTY0SDt1rblbdAzPC+n7vnS4WMRmxCqbR3H2SYYXG2hau3zd/bxkSiUePcfjHf/wdinG6lKOUDF6s1ol/6EetQQNBNGIu+gBfNcR5DLUV56Ner9azl039f0fnQuPoNd07uwrZzdAsfioM/8YhxKSPs1FJQydFOUWEOl5Lzkf6rUePvJOmnl/ptKGTZayeiXOy/eRhRF9v6Qweb/phJ9z4UIYxJdtm270cLJd9eiT80n8P5bsUZ2rE+VKIroN/yN7te1+CycQVD8uGbFkjMXI9HhoGLP35Rt+BOfISPpNe9BpHIlmtB4pHKlU4X46oua1tomtNWtVZ/6lpzabKiW3FLNWYws+nK0m9cRfdPdLvFTi6JI/obvkAX549UeX/upvkXIZMx94k5WP/0fvph0AU9de3GHxmXJzEW3fD3mk9l4Tx9H+OTLXFIqoCfw/lcf1/1vEwT+OXeRS7Z7trm0XG2hau3zN/d+ZwgfqYcHvsNG4TtsVE1vu/TtFL/6EbLgADSTRuE5fIDbqtMMgiBgHzIdP1Ucx1/6iugbJxIyc0CXj+Os/XaiHioj8LvquirEmG2glHHyU9eUaq+tb3P7gz6Isye5ZJtNYTXZ+fPF/RSmVNDn9evwiHCd+6s6u4xjz/+KJjGEgEfuRaJqPgbJmUh7u66Ksk9/wKE3ELP4rlbL4rd2sTIV5lP0+/cIEmlNl2+/UKwmPSVHtxGQOMLpNO8GPZ2aEBWNXUW6vGNYTVVYTfq69WtdRy0JqvoWI48Brd/FNbYwhQ6YjCiKHN3zP3wvGIcioGOVhWspTl2PJaeQkEdva7NguuvXNdz3+zp2JMaxvU8cb140g7hP/tWh8Zgzc9H9thZrVh5esyYSOftaJIpzKEtFFEkuPp06P/TRl1y26bPNpSVTa/AePLJD4qK+OGnt8zf3fmcLQ0VAEGEB8xCHzUF/7DBlm7dQ/v0KvCZegGbyaJdkoJ6LqPr2IvDB28l952PMRTqirh3bpcHHZ53AkVY6GJyQg+R0GQ5EGTU9yF2Qgi+KIp+/X8U3/6ti3uvjEAd3Xn2bilwDP/1jBwFxXsS/tsSlAVkl646Q8f56YpZMxNKv9QKErdVKMB48StlnP6IZN5zQoXOcynRp7mLksFoo27QG3d4dBE6dTWTASAShxjrWlsaVtTTuD9W42F/9WBmAqoI0qgrSkKtq3Gr1xVFnFwfMyt1AdUY6QVMvdMn29MdTqFr1FyGP39HmVNdP/vMp0w4dBWDM8ZMEVFbx5kUz2j0WS1YeFb+uwZqdh/fsyUTNXYxEfmYphrPNDVMfmdXC3/9+ircmTOf2zetY2W8QFhd2KXela62rqBUX1ZnphF50ZZu/08bipKXP39zx6SphKEileCUPwit5EObiQkoObyT/8VfxHD4A75kTOtwO5VxEHhpE4EN3Uf7eR1jK9CTcPcOl4RctcdbVwRkuCOLuU/+LQM5T3pTe6OOSbRuNDp5/qJycTCtTXp2Kd0jnRdCf3FbEb4/vYcyNvTFMm+UyVeuw2Mh4bx26/dn43nw9iijnahI0Z8ERrTYqfvyD6r1HCJ9/NZ6xHespVJ2ZTuFv36MMDSdhwEXIPb0bWFgAl4mM2piZsMGnOjqLAv4Jg9Gm76/LfKq/v/qdwqVyRatjcDZ9vHY574g+pPz+H3DYUSf2JfLqmzv0+cxF+WR/+R5Bd16PspfzPm651cq+e5/Hy2Sue+23Yf256/Zr2zUOS24hul9XYzmZg/ecSQTGjW1S2NSi3bqekjXLCZo+t92TeXeJpL3PPYCnw4EDuOaS61ir056VQs2V2Ax6Cn/5BkNaaru+07NZ8ELN+EuObkK/YTuqvgl4z52CIrLra8H0dBwmM1Uff4JUraT3o/OQyF1XWfqcqoMjAvrBctJ+CelwnE0thfk2/nFzKXG95Fz4Uef1kxJFkb//d5zd35wk7rGLqR4Y5bIUcFNBBcee/xVVmC+Bj97bpiyppmolWAuKKf3ga2RBAcTd/ABSD892j81hNlGyZjn6Y4eJGbEIv5j+de81ttq4qgJxfctO7T6kcgURQ2c2ECeN08PtNrNTViRnrU21y8nTt+M7fAzW8lKC6vWdag+2qkpyvv8EvyvmtUnceBpNpN75dIPXHr9qPl9OHdvmMViLStH9ugZT6gm8Z00kcpZzrihX3G231yXh7GTa1HKLN6/F0+EAavpura3QUrL27ImX6Sxkag2hF11Zd7zas35Hj193BifL1BrChl2Io/80Sk5spvi1j1EmxuGzYBqKiHa2FToHkaiUeN96C4YvPuPoM8tIevoiJIrOlSBnncARZbD/YDii2nUCZP8uMw/fXsrVN3rheXnHM4yaw1Jt4/cn91BVaKTPf25wact57fYTnHjtTyKvGoV9WMf6VImieMpltbLVQGJnMKQfo/C371HHJ9J/3kPIlA0tY82ldbeF5rp1h/SbiLlKi9VcTdig6S3WtqmfUSWVtR7g7Oy4AxJHoK04gcNoJHjWgo4XVbSYyfn5YzRjh6Ee1bYaOgqbHQc13W0dQJ/3XsDiRCfm+tjKK6n8fS3Vew7hNW0sEVMua1PFaldMaO0VSc4KozOWE0UeWfdH3ft/xffBe8hIEM6eeJnOpLtda+0NTnYlEqWSkH7TCEqcQEnaXxS/8iEeA/rgc9EMZAHdlyrdkxDkMtTX3YDxm6Ucffpn+jyzEKmyfR0FnNrf2eai6lCzzSb49Ts9b/9Lx4znLiBhXOepbW22nh/v3U7EQH88blzkMuUq2h1kL91CyZoj+N18DcpesR3ansNoRvvlMqzZ+UQsuA5lSPtNrQ6zieLVv2FIO0rcqEvxiUhqcfmOVAyudUcF9hmF3MMbQ0k2pooirNU6ECSIDhuCRIpXWCIh/SbgGRBRF1ysy05ptbqxszS1blVRBic2fUbMLfch9+nYhU50OMj57X9IPFX4L7nMOeEpity3bBVfTh5FiZ8vz3y5jEEZuSx84s42WUAd1UYq/9iI/q+dqMePIGTgtB7R/LItd+fOLGsz6KnYuQUR8Bs5Dplaw64XHsbLdrqPXeOKxW6cpzOsKd2dXt4UdpOJ4sNr0W/YjmbCSLwvnNzh2mPnCqLdjvHrpdgMFpdYcs4pF5UrsNlE3nypgi3rTVz6yRQC4zqv70361iJ+f2IP429LcmkXcKuumuMv/Y7oEAl6/F6nIvlbypayZOdT+v5XKHvHEbv4vnZlvtReSOT+QZSs+hXPuF70n/fAGcX6nGmR4Ax2qxldTgpVhScRJDKqS3PwDu9NjO8w1BEhqJS+2OwmCgr3EhTQl8qqXE5s+5HgvuMa1Lapv8+2jsOoKyJ35+8NOoXXrms1VpG+5UtCF1zRcXEjiuRv+QmH2ULgbVc7dR75V1Sx9x8vIACTDx9j/pN388zVF9W86eR5KFqtVK3/m8qVG/EYnEzsLQ8g9/Ft9+dwNW25O3fG0lC5fydlm1YTNH0uMrWGwSdP1IkbgNm3PdjxQZ/HdIY1pbXvtTssTFKVirDhc7H2HkfR9hUUPP4qPpfMRj16aI9oY9CdCFIpHldeh2Hppxx/eTl9Hndt3bdazkuBU6Vz8OhdZTgcIouWzsTDu3NSWEVRZPtnaez6Kp34JxZR5cKWC/rjBRx7/lcCJiYhnXaR0/17msqWEkUR/aYd6Jatxu/KeQRGtN/krtuzndL1fyBRKokffw2+UclNLlcrIuw2c507qLUU7zoLi1FP/v7V2C3V6HKPog6KJlydzIBRF6GQn2lRUEjUxETVdBn29AzE1zeOHXvfxj9+yBn7tJr02K0WwgZPd9pllrvzd3S5qQDEjr+ibnuiw07a9i/xHjQcTe+mj0NbKD68FvPxDEIe/j+n6m+MPnKcb1//pO5539zCmn+cFTYOB9U79lOxbDWKqDCir70DZXCNlbMnBYaqe/ejOjMdde9+Ltme9+CR2C0WHBYLNoOeN3/6ou69Ai9vMjtg1TzbccX3fralwncUubcvkTOuxpicReHanzD8tRP/6y4+7wsGCjIp6msXU/nBh6S/tZqEe2e6XPiddwInO8PKvTeWMmq8iri7piKRdU66mtVoY8Uz+yjP0dPnjcUog71dtu2ilQfJ+t9f+F69CNmw/q2vUA/12OENHh1GM9qlP2HNL3aqtk1LmApy0R3YhTI4jMRx16HyqdlWUyKlLqDXamkywLguxdtmpmD/GgCCk8ejPbmPvL0rsVbr0IT2IjL0AqIix5whbCxWAwWFewkMSKK07ChhoUPrllEpffAK64W+ML1O5NTPpCo4sJrI4XPPcE81l+0VOXIeAJEj5zVIU09P/Q2kUgInz2r3Ma2lJHs7VRv+JuSx253qj/Pbc28xKCuv7rlJKiXp/RecFjemo+mUf78CQSKpyZ6LadhYs7sK0jU1wRqOH8GQlopnbALKIOcnjeYma5lag1ShoGTNcvwsFoq8ffC0WfCwWJn8j2dc/ZHOKlzxvXd3vE534REZQ+x191KSvoWif32AZspofC6cfF4XCxTkMrxuupHy/7xL7pfbiLq27ckOLXFeHdmdW0w8fk8Zt/3DB3HOpE7bj66gmh/v3U5QgjfRL9/gsiCq2hTwygM5BD14G/KwtouR+tlSltwCSv/7ZY1L6vp7kMhbt2Q1NSmIDgfabRsp37aRoJnzifBpaIJtNaD3VEp2fYpTt1Cwfw0h/ScSPmQWdquFQz++iIdvKInRMzGbddgdVjKz1iOTqeosNLUUFO4l/eSflFdkoNUeA2iwjFShwmKspPDQhgZ1cloKHG7ceqH+Z0qcflODZXO1u9AfP0LMzfd2OKhYfzyFiuV/EPLgLcj8Wi+J8M2/328gbrb1juPKh//PqX1ZC0uo+H4FlrxCgifOxav/4CbvqrriLrypc62pCbbxWJy1MrQ0WXsPHkl8cSHL/96IROXByqQBvDjHNdWKz2Z6ivWlJ1kQ24IgkRCcOAG/WwaSv+4HCp9/h4CbLkMRFd7dQ+s2JColvrfdTPG/3kYV5kvQNNdYYuE8Ejg/fKHnozd1zH55DOKIzivGlLO3lJ8f3MkF1yVinDnbZSY3S1kVx57/FbmvmoBH7ulwsJp+2x4qvluB7+UXEhQ1qsllnJlgrLoKCpZ9BQ6R5AvvQak5sxJzS6KhqX5SUNNbCUBfnIW5shSvsF4M7nstXprTFwKL1YBUqiAsdGidxabWUhMWOhSAwIAkirwisNstWKwGFHI1FquBqsJ0RLsd7cm9hA2eTuTwuQQkjsBmNtQ1xWxswWmpWWd9qopOUrJxOVE33NGh1HoAY3YGBb99Q9Dd1ztt0v5wxgTGHMsA4Pabr2CFE5lWdr0B3W/rqN6xH+/ZE4lspkhfLV1xF+6MmGlqLM5aGVqarGWeav4+sLvGpWwysjUxCbPSdQX9zgaa+v33FOvL2dbSojFyb1+iL7qJ0uztFL/6Md6zJ+I1Y7zLGu+ebUh9vPC7fQkZr3+AKsIPr75NCz6rrpriVYcInjkAuU/r19ZuEziCICiB/wLTAH8gHXhUFMWVrtyPzSby+nMV7Nxq4rJPp+IX1Xlqf//PmWx86wgxD8zHNCLeZfE2VSl5HHv+V0LmDoZxF3boRyBarZR/8zumo+lEX3t7s1lS9Yt3QdMTTFXqQYqW/4jfBeOJiZpyxriaqjXjTIaSw2alurymFL7dYmLYgJtQezYUpfVdUAWFe7HbLWRmrQdqLDW1IqegcC8AmVnr68TQkZTvsVRpkccOInL43LpMKjgznqapxpy11P+/9nNpQhM48ddSwi6+qk3ukqYwFeaT++OnBNx8ObLgQCr/3NR0Kw1R5KGfVjLl4FFmPXc/GwYn899ZE3h/5kR0rQSeizY7+o3b0S1fh+ewAcTd9nCPuSP2HjwS0eFAkzQQe7UBQSZH6qmuOxebu4t31srQ0mS99rVn636/IrCq/9AOf57upD0Wj54sInqKJakjCIJAUMxofG/sQ+6KLzClniDgpsuRevWM319Xo4gMxfe6Szn2/E8MfOc6FP5nHofiVYfI+ngTABGXXdDqNrvTgiMDcoCJQDYwB/heEIQBoihmumIHVToHj9xZhiDAwk9nouqkYGKHzcHa1w5zcmsRfV69Fo8o17V3KPrjAFmfbsbv+ssQBnWs87SttJzS975EGuBL7A33t9j4sHL/TgxpqagT+55xt+w7chwlq37DcOIoiZOWoAmOqZvg66ddN+WaavxafcEjU3rWxNjsWYnKJ5ioyLHERE9sMnC4sQvKzzeB2JgpdZab+svExkwhIX5WneAprziBTKUhtP8k5CpNg0yq+vE0LWVTNRZqtctKPNUETZ6NulfLKfGtYSkrIffbD/G7cj4e/ftQ+eemZltp/P3gS4SXVwJw0dY9/DJ2GP+6ZE6r8TbGQ0cp/245Mj/fBgHEXY1os1GdfZKKXduQeHhi05VjrdBiq6pEtFnRblkPgoBoswICcr8AVOGRiHY7VYf3YbdYkCoUdZN3R60M/bJOEqmvrHt+6xU3uOBTdi/taafQk0VEV1mSusIVJvfzJ/bKOyncvYLC594i8LZrUMZHd8q+nOk52J14Dk5GVZ7G8Rd/o9+/rzgjsyr4VMPOYCcbd3abwBFF0QA8U++l5YIgZADDgMyObj8328a9N5QwcqyKuLs7L5jYWGnhl4d2AdDrjSXINK6pc+Cw2sl8fz26/VkEPXR7h3ucGI8cp+zj7/CeOYHg5Kmtus7qX9zq/7DNJUXk/7AUZVAI/S68vy79u3aCL03biUlXDDTsvl14aEOTmVK165n1WgylOQgI9E+8BF+f2BbHV98FlQZotccQJLJmlyktq+m5FBoymKz8LUSPuviMgOdacRY7/oqa96Kpc1c1prH48Y8bQmHaVjR9kvEdMaZDF0arroLsb97HZ/401CMHAWcGhwMEl1ew9eF/obA7Tq8snKpr1cL3ay0sofy75diKSgmZsgB17+QuTVt12GwYszOozkjDmJWOqSAPiUKJ3VCFT2RfwpPGofTyR+7hg1ShajA2u9WEubIUfUk2pYUHEORyTDmZVJ88DrjG0vDjp+/U/V+hVPFXUtd3QXY13oNHUp2ZjiEtlcr9O506Ti2JiLM1BqatdJUVS5BKCbtgPnqfeAre+gzfS+agGXdGWZcO01rPwZ6AMHEewpH3yfliK9GLG8ZWyn08nbLc1NJjYnAEQQgBegNHOrqtfbvMPHxbKTfd5Y10gWvK/jdFWWYVP9y9nfixIcivXeiyPH5rRTXHXvgVqYeCgIfudiprpjlEUaRy5Uaq1m4lYuF1eMb1cmq9pi5uuv27KFn9G4FTLzzVIPP0xBOQOIKqwnR0uan4RPZt0Piy1kJSVZhO7PgrGlhDfCL7oj25j/KsQ/SOmUVI8EAEQXJGTA00nxmVnLSIlKM/odUeo6Bwb10wsUJekx6elbOZ9JN/AuCI8EPpFYBf7MC6MdSOM2/fnxTsX4PdZiZiyCx02SnoclPxCk04o3t4faEmOuycPLgMj+g4gmctBDrQSkBfRfY37+E1eTSaiad/yI1baUw4mMoXb37WYN1ZT9xFalxks9t2GE3olq/HsGUX3rMnETx/SbszONo6wdn0VeiPHUZ/LIXqjDSkHp5okgcSmTQdzYQYHHabU8UVpXIVngGReAZEEpw0BpOumBO7vkMeEISXC9xIV/79VwPX1OiHn+/wNnsCbWmn4Mx3W75zC9pNq7FbLAQ1kSXY5vOjhwomV1mxnP18mqT+RAcEkfvDx1gLivFdNMulcTlN3Sj1NASJBM2111L0whv4DI3FZ2BUu7fVIwSOIAhy4Cvgc1EUjzbx/i3ALQChES3Xe1nxs4E3Xqhg5vOjkI7tvDoDGTuK+fWR3Uy8sy+6ce3vwNwYQ3oxR59ZRuDkvkimdqysv8Nkpux/32PX6ohdcl+7i7M5LBaK/vgZU24mfabfhqf/mXE7cpXmjJgVOFVXxmbGKywRXW4qZWm7CB0wGdHhoOToNvL3ryYwcSS9fccjkyrrREzjmBqA3LztZGatR6tNo7wive69WpFTK4jqY7EasFj0+Pkm4OcTx4E9X5Mw+ToEQTgzHkg8NbWdenQmOFoURU4c+AGHzUrkpddhN1ZTuX9nXU2WtlwY7dUGsr99H88RA1u+uxLFBuJGr1Qw/PXHMTbjchQdDgzb96H7cSWq/r2Ju/UhZF7Nly1w5mLsjICz6auoSjlA1eH9mIsLUCf0ITh0MGbPCPL3r0bMLcFz/FSkchVSufPFHeuj8gmm35TbObbrK8o2rSJ0/uVt3kYdDge+pmpEanpNPTV7IaKkc3rSdQfOunWc+W6FRo/t2UZHlu9MGp//rhhPWz6fMiiE2MX3kvPzJ5R9/B0BSy51WSp5Uz0HeyJSHy98r7mUE68sY/AHi5F6ti/Av9sFjiAIEuALwALc2dQyoih+CHwINa0amlmG91+vZOUyA5d8OJmgXq6rO9OYvT9k8Nd/U4l7dCG6Qa7zlZZtOU76m6uIv30apl7jOrQta1Eppe8sRZEQTeTs65C08gMxlxRRsvo3gmbMbxAcayktJu/7z1GGhNFv1r1I5c2faE1lRJWl7aJg/xrCBs3AJ6IPAYkjqNbmk7n1eyRSeU0Asfp0untTcTON0WjC8PdPbPBerbWmbtz1hFJO7hYAUnP/wCeiD0rvwDPSw0MHTCY4eWyDlPXmMrxqEUWRk8dXYC4uIOq62xBkMip3tO9CbTcZyf7+A1TJvfBZML3lhQWBAzERDMzKY19cVE3LhWawZOWh/fpXsNmJuHQJHpGtN+Zs7e4cmr6ztRn06Pb8jdTDk6qjhzHlZqHunUxE4iS8J/VBIq05B60mPYbSnAaCtyMIEimJQy/j4LJ/UvTnLwSMn9ZmK4Bgt7Pr5ccp8vZhX2QMeT5+/HDB+NZXrEdPtUK0FWesFr4jxyE5FffU3m10ZPnOpDPEVls/n9RTTfTl/0fuiqWUvP05gbdfi0TZOTGkPRWPQX0Rju0h8+NNJNzdPiNCtwococbH8QkQAswRRdHayipNYjaJPPuglvwcG5d8PhN1QOekczrsIuteO0T61iL6vHYdHhGuaaAmiiK5X/9N0YoDBNx9E6bY5t0MzmA8fIyyT77HZ/40ghLGOxVfUbL6t7qMqcirbwagKuUARct/InDyLCKDRrUrTqO+FUQqV1FwYA3FR//GKzSBfuEXolQ0nAhqRUt911QtkRGjkEoVDWJqmqO+UIqNmYLRWIZWn0Hi9JspPb6d3N3LG6SHQ+uCpjFZ2eswpKUSfcMdOGxWKnZvbdJy09rE5zCbyf7xQxTxUfhedmGTx3lk6gm+e/Uj/hjajzvuuI5Fj/wfgihiaSZ12a6vRrdsFdV7D+O7cCaBMaOdtga2dncOZ1oDTPm5FP3xE6bcLOT+QUQOmIHvmMVIZWdelGutfcWpW7BbLVhN+jb3/KqlvhVOGRxGxfa/kHt5t3liWvOf59BYLWjKSvhm2CienXdZm8fSHVaIxudWS+easwLMGauFq1sjOLN8VwnIzhBbbT0etZ81fOplFGz9lZK3PiPo7sXnnchRzF1E8TOvUjklGe/+bZ8Xu9uC8x7QF5gmiqKxPRsoL7Nz/02lhEZImfX+LOSqzjEpmw1Wfn14FzaLg16vLUHm5ZpgYrvZSvrrf2LKLyfo0buR+rbf8iSKIlWrN1O16i8iFi0+o/psSwTNmF/3KNrtlKxdgT71IL2n3oQ6sP0+0FrRYCjNIWPzt6i8A4gMGUFW1kbyCKxL3a4VM40tMbXUj8mpdVXZ7RYiI0aRm7cdgJDggXWxOfWFkuiws/PAe8RNvBqZ0qPJQOfmYj+aS2vPyv8L3f5dRN9wJ6IoNplSX0tLE5/DYib754+QhwXjd+X8JsXNY9/+zq1raqxQc/ce4V6bDWszfcJEhwPDlt1ULFuF57ABxP/fw21uiNna3Xkt1opySlb/hqWsBFu1AYV/IMHJ4wkbNK1VwSJXaZDKlOTuXo5Urmi3FadBsHfMaHIqtG2emGbv30VkVVXd8+cuXNSuybQ7rBCNz62WzrWe5AaCtguWjo7flQKvs6n/WSNnXE3e2q8pfedzgu5ejNBCfapzDYmnB96XLuDkW6sY+N/rkcjaNr93Zx2cGOBWwAwU1ruw3yqK4lfObCPjhJV7bihh5jxPQm6aiiDpnEwQXUE139/1NxED/VHduKjNB7k5LFo9R59ZhirUB99770SiaP+JK1qtaJf+jCW3kJgb7kXu2zbrkjIohMirb8amryLni/cRpDL6zb4XmapmcnSmfk1TyzgcdgoPrKUodSve4Ykkh9YUPxQECTpdFuUV6ZRXZJCYMPuMlgr1qbXIANjtlrrHgsK9dbE6lVV5DaoWx0SNx+Gwszv9MwL7jMI7rCbAur6lpqlmm/VpKlU8u3gbFTs2E7X4DmRe3mi3rm8ypb6W5iY+h8VC9s8fIwvww/+6i8+0sIgih+56Gm+jue6lk0H+WJtxN1qy8tB+uQwQiLryFlRh7bMEtnaBt1ZoKd+5tabjts2KX9wQrEIV+qwT+A5KQK7SOHW+tBTj5Cz1t2GtrkSQK9rWTVoUef2Xb+qelnhqECXSdk2m7Z0YO2KZaHxutSSyepIbCKBi5xbKNq3GYbE41c6ko+N3hcDrDiuSIJEQMe0qclcupfTDbwi87ZrzqiCgx/ABWHdsoej3/YQtHNamdbszTTyLlq3gLbL7bxOP3lnGXQ/7YJ0xyXUDa0T+4XJ+vHc7F1zXi+oZrqtMbEgvJvXpnwmZNQAmzOvQdu0VlZS8uxRZgB+x19zdri7gAKa8HPK+/wzvgcOIi5/Z4EfkTIftxsuYKkvJ2PQVUqVHjdUmYyOpOiPJSYuQShWUV6Tj4RGEVnusLtUbaNKCU98iU2uxqbX+1Aoef79ERIcNi0VfV7X4SMmfSOVKwgefGdfSXGPN+pNz40k4p3Q72s3riFp8R52IbC6lvpamJj6H1ULOLx8j9fXG/4ZLzrhgBVRUsuuBl5CKp0PO/r1gOu/On3bG9h3VRiqWraZ690F8L55FYPSodl8AW7qA608cpXT171gqK/AdPJKk2XdQVXACu9VCeca+mrHYa8SYM+dLY5egM6KopW2Yq8qQyGROt3gA2P3CIw2ypsY/9BxwZsPNzpzMOjLxNj63WhJZPS3tW2z02BStBfy2ZdwdFUjNFT/tKM5UjBYkEiJmXkP2Tx9S/s3v+F+9wCX7PhsQBAGPiy4m5/UPCJrWr03ek+52UbWLFT8b+M+LFcx8aTTWC9rfHLI1jq3L54/n9xFzz4UYxyS6rDKxdvsJTrz2J/F3TMWU0LFgYktWHiXvfI5m/EhCBs9qt1DSHdhNyapfib3gkgYp1LU4c7cdkDgCu9WC3WqmKGULBftXEzZ4OtGSvuTl78DPN6EulbtBK4Xig9jtFry9IprMgqpdvlb4REY0bC0RHzsVgKyczacsQukoFBqsQR5UFaSTNPcubObqMybP5hprNp6cayfQnNLtlG1aQ9T1t6HwP13Msa137g6rhZxlHyPx0hBw42VNipGdD/6zgbgZ99JD5IQ0LCApiiLV2/dR8cMfeAzu2y53VGMaT7aiw4EhLRXt1g2YiwtwmIyED5lFeN8awagOjMJq0qMvzqCqIA2JtCYmqD3WGWdEUUtYqrTIfPyabfHgsFiw1xMsErsdtf102N+Sq26u+79+w02JQtGu+AlnxUJPsKzUHjOHxYJEoUDdux+G40c6VfD4jRxXV6CxtXFB04KiLeKwo66n5oqfdhRnP4NEJiNqwQ1kLX2TqvV/4zVltMvG0NNRRIbiPzqBvO93EHOj81lgZ53AKSm2895rOhZ90HmZUqIosvOLE+z84gSJz1+BprdrKryKokjBsj3kfb+DgDtvwNTBapXVew+j/fxn/K+9iICQtpnu6sZkt1Oydjn6o4dJmnE7Hn5Nf9b6zTFri/Y1vsuWqzQIEgn5+/5EptIwtP8SNKpQsnI2k5m1ntiYKXXZT/VjbaRSBZlZ60mIn3WGe6q+a6p+fRupVEH6yT/rrDi19XFqrTkKuZrsg2tIuvBOZAqPJl1RzU3CTb2eU/I3ZX+trRE3Ae0vuuiw1FhumhM3vbPzOR4dTsJH/2Tujn3cvXw98564C3Oj4EJrQTHaL3/BUW0k4pIb8IiKrXvPJS6PgcOpPLiHsi3rECRSIvpMxmt0AmXpe844XnKVhvhJ1zTotN7WgG3ouMuq3JyNKjyy2X5VklOCRXpKsHzx6bt1Ny0Z/oH83bthpXBnhEdbrEWuxNUWl9rPaLdY6ioeu9pS0RhnBEdr30FXisPWLLWu2G5rSFUeRF5yE1mfvokiKgxlYqzLxtHTkU25kKLn/0P4ohHIfZ3r8SeIYksGwp6Hh6dEvGX5LDSBrgnybYzD5mD1vw+Ss6eM6GeuQhnsGhEl2h1kvLcO3YEc/G6/CVlg+zOwRFGkauUmqtZvI/LSJajC2xcEbDcayf9xKYgivUddi0zZ+klTKxQih889YwIzlhdwYt2nSJWeDE64ApXKF6DJon31aen95t6r/3qtCEqIn0VM1HjKKzI4dOxbEqefDpBuj/ujluyCzWj/3nTKchPYpnXr47BYyF72MVIfrzPEjcRu5/htTyC3O5j+9D0cj2662ZzDYqVy+Xr0m7bjPXcqwYkTEKQNY8K0W9dTsmY5QdPntnlyEu12Kg/spmzzWmRe3kT2mYZ3RJ8WLYNWk57ilK0giAT3Hdem49uR76XBuEWRQ7//m9CLr8Ijoukbh/qi4J7tm9FYjPQpLqRvYT6jH36hXftt6ljbDPqa+CRqrBStTYbt+b468h23RO0xcoUF52xJmz9bxlkf/bEjFK76kdCn70WqaVtD357erqElzMu+QaZREbNkQoPXt8349x5RFM+oXnjWWXB8Yrw7TdxYqm388tBO7FaRuFduQKZ2Tbq5vdrMsZd+R7Q5CHjgzo5VJrbZ0H6xDEt2PjGL73G6eF/jH7GlrIS8rz/BM6E3CX3nI7RQ0KylmJRaytL3kLPjVyJHzide0r/Be/WtNcEh3vRKDABKsdu9+OuvVWRn5yKVtj/9MTAgifKKDAIDkqiszOXQsW+Jn3h1g+yv9lgUADJzNqDb8zfRi+9A7ndmp3RncZhrsqVkAb74XDKHqtWb6y4wU/ce4ZN3l9ZZE37+13v0f/fMCrrGw8co//IXFDERxN7yAHJv3yb31Z67WtFuR3dgF9q/1iL3CyB+1OV4hSY4tW6tq68WqUzZpGBpSsx01C1VS3VZHqLd1qLYr7UYXL59M3dtXgNAlq9/u8UNNN/dvLG1qK3bcHa/6t790G5d79Tk7MxEXt+q0tFmsV2VtdXc56r/eu14mvrsPS27zBk0ffrhWXqM8i9+JvC2a9q07tnQrqE5pONmUPTS20RecYFTxf/OOoHTWZlS+hIT39/1NyFJPnjcfInLMqXMpVUcffInNL1DUVx0BUIHtuswVFPy3y+RqJTEXn0XkmZqoDRF/R+xKiKa/B++IHDSTKKCW/fjNheTAjVZUrUduIf2X4JGcqaLy2I1oNaU8tBDdzJwUCx2uxm73YIgSLnzrhls2bKFZ555hty87WekjTflomr8usWiR6s9RqbMg7LKE8SOvQzv8N51y1pNeopTt4AoEJw81ilLgSiKZJ5cRVXKAaJuuKNZMeEMdpOJnJ8+RBYSiP/1i6havbnuAvOatoIl67bVLesARv/r0Ybr66oo/+Y3zBm5hM5chCax5aarbYk1EB2OGlfUptXIff2JH3MlXiHOlxeoDdQO6T8RiUwBotCsYGlKzLgikwogP28b3kNGth6DJoo88+eyuqevT5nTof02d6zbIlraExtSu06tJQdan5w7MpG3p/WCw2LBf+KMTncfNfe56r8ONPvZe0IMVHsIHTmPjP+9SvXug3gOPzNusjnOhnYNzSELCsB7YBTFa44QtqD11ixnncDpDErSK/n+zr8ZtDAG6/y5rsuUyigh9YkfCZ03BHHMnA5t11aipfjNT/Hol0jYmIVtzpKp/fEKUjn5PywlYdzVeAf3bmWt060WwgbNOGMSspr0nNywFEEqZ+TA/0Mua9oyldxPzuIbFuPlJQdEHA47ABKJFJCSnDyAzz77go8+XMbHn7wInBYz9a0z9amfVXXoyNcAFJUcJGHStfhG92swxszN36LLrYkncKbmiig6SE/5FWN2Rk0quMar1ePUHHajkewfPkARFYbfNRchSCQ1FxZRZMXm3YwpLK5b9khkCHOeua+uUabocKD/aye6ZavRTBhBxPSrmsyQa4+JXRRF9CkHKd2wEqmnuk0Wm/rUD9T2iU4m++9lhPSf2KRgaUrMtNeyVh9LdSVVKQeJu/ORVpc99Ow/GmRNrRrY8f5VTdFVtVScnZxtBj12i4WAdgqO9rReKNu0mqDpc50+J9vrKmruGDT1elOfvTvq3rjCLSaRywmbfQX533yOql9vJB7OeTbOlnYNzSEbPYnC738idP6QVufU817gZO0uZdmDO5l6f3/KRk51WaZUxd5Mjv9zOfG3T8XUa1yHtmvOyKH07c/xvnAywb0ntWsbUk81DrOZykN/1wQT+zY0PzcXC1HbaqFxppGxvIC0tf/DP24wCZqR5BfsrsuIgppMJ4VcTUxMILfcMpqLF81DpVLx00/L8Pf3QSKRIZUqKCkp5ZJLLsZkMvHjD7+yZ+9GBDGmQasFrfYYpb5xqD1PB/fWd3spFTVxUt6Rfc/IACtO2YouNxVNSDzqwGjsNnOLlXMdDjsn9n2HtUJL1PW3I/VovzvRXm0g67v3UfaKxe/K06UApF5q+g0bQOCW3XXLfj1+BI8uvqTuuSW3EO3Sn0AQiL72dpQhZ/b/qqWtk4/h5HFK165AdDiIGbKg1Rib5micZp+5+dtTmVSyJo9ve8VMa3E62Rnr8Bk8olUhevHOLdSvNDX/1n+0eSyupqmJri2Tn7Op35X7d6Jto+CoT1sDrtvjQmvtPG7uuDR3DBq/3pPcT65yi3lGx6Hql4hu+Xr8Lu2YNfJsQdknnkq7A31qPl7JES0u65TAEQThEmqaYfY+Vb8GQRDeBOYCY0RRLOrgmLuFlD9zWf3yAWIfWUjZkNZ79DhL8dojZH24Af9br8XUy3lzf1NU709B+9mPhF14OZre/VtfoRE2gx7d3u0Y83OxV+lInnkXco8zJ4LmYiF8opOpKkzHJzq57jVd7lEyNn9D1Mj5xAn96rp15+btwGwuB2oyo2KixnPd4vF4qpWoVCqOHz/GokUL+e235USER1BYWMTChRdy7NhR+vRJQuUh5ZFH7mbx4jsJCR5AZtZ6/HwTiI2Z0mRPKgBteTpllen4xQ1B5RN4pngRaoLovcISTlfOlSmbnGjtNgvHty8FBCKvubXd9YTgdFdwj4FJ+Cw6nb5/6V87kTgcfDdpFAsfv4Mtj/yLeY/eQU5YjXirCSJeh37TTnwWziAobmyr1jpn7+JNBXmUrF2OtbyMqAGz8IsbRE0ruPbROM0+cuQ8gLpHV9FSnI5JV0LVoX3E3vFQi9uQ2O289MfPdc93RsWRFtbyxbEzaNzzralid66a/Opvp6NuGGesHI3H3VYXWmtjPBtjZZrDFW6xWsEXNHAK2UvfxWvqGGT+vi4aYc9FEASCp/WneO0R1wgc4CfgEeAJ4GZBEB4ArgTGnq3iZsfSNHZ+mU7iP69CHe+aWjqiKJL37XaK/jhA4D/+D3l4x4L0qjZup/K3tURefpNTTRKbomLXNso2/okiKJT+s+5FIqu5hzXqisjd+TuRI+fh4RPSbCyELjsFXW4qngFRSOUKEAQKD28kudfFGHKLsYQaCAsdSnlFRl2hPg+VP2GhQwkO8ab/gAjsdivLli1n4cK5HD9+jIsvXsDXX3/NVVddVSduli1bQWBgAAEBAQSeCiL39++DVnsMf//EJrOvsiTHyTr+E72mXI+hJLtJ8RLcd1xd0GstTblPbCYDqRs/BCDyqps6JG6sunKyv34P9agheM+bWiduPnv9YyYfScMikXAkKozDCTEMfuuZuvVMqSfQLv0ZeVQ4cbc+2GLH7/q0WnlYV07p+pUYThwjYOJ0IoNGnXIPdozG54yHTwiJ029yat22ZE813k/dur1GkHHwF/zHTW7VenPpnu11/4vAdTfeBXR9Bk3jnm9NFbtzVUxI47TmzhYFLbmEXBGLdLbGyjSFK76P+oJPPX4ElSs24H/tQlcMr8djSxpN2T/fIf6OaQjS5m/SnBI4oiiKgiA8BqwQBCEdeAyYKopimiAIUdR0Aw8GbMDzoij+0PGP0DmIjpqGmSe3FdP7tetdmwb+33VUHskj4MG7kPl1rKeU7pfVVO88QPR1d7a77opVV0Hl4b2oomLpM2ZxnbgB6gKDTZUl+McNJTh5bJNWjdpJxW41n+ob5EFEyHAqq3LrWiTERI0nOWkRWdl/odcX0DtxHgq5mqSkcOx2K3a7mYAAP5YvX8lFF80lJSWFwYMHA5CcnMzPP/9KQEAQICKRyJgyZQFHU2RERoxqUBSwPifMeyg4sJbeM27GMyAS1SmXW1M1Wup/rqY+o7lKy7ENHyHVeGHMSqfy4G78x05p1+RnKSsh+5v38ZoyBu+ZNamMcquVI3c+jdJWE3ukcDhIKCrlcEKNaLXrq6n4fgWm1DRCZ16Cps/pGKL2jKF2Ha/kwej27aB811Z8h49h4EWPIFW4JgOxo+ndbcmeavwd1q6rM+Vj1VXgd8GEFtaG0PIyEO2YpDJUdhujHny27r2utgrU7/kGTRe7c5UY6eh2RFHEbtBj01VgLivBcOwwiqAQzIX5eETHI9NokHp4IvXyRu7j3+T+al+zGfROu6o66/O0RE9PFW9qfPUFn7cocvK/L+OzYDpS7543flcjCwpAGaih8kgePgNbyJx0doOiKK4WBGEX8AIwTxTFXafesgH3iqK4XxCEUGCPIAh/iKJo6MgH6AxsFju/P7EHfYmJ+FducGnDzLSXl2M3mPG/7/aOpYHb7WiX/ow1r5CY6+5ud4CruaSI3C8/xHfEWGIiJ50RYxE5ch7mqjJMumIKDqxuNvhWrtIQ0m8i6Zu+QCJXERI4kOzczcTGTCEhflad+FDI1SQmzG6wrlojBUSkUgVSqZyQkCC+/vrrOnED8PXX3xARHoHJbDslhiyoVFaKilOIj516RtsGUXSQol1HRfYRki68E6VXQN042xPfYSjNJW3jJ/iPnYLXgKFnpJW2ZfIzFxWQ8+0H+MybhmbiBQCMOZLGN69/fHr8wDOXzeXXMcNqKhHvOkj5t7/jOXwA8bc+jETZ8JxszwSs27eD0rUrKPtrDere/eg/934UmtbrLrVFtHQ0vbsj2VM1FbPNFKVtI/KqmxCa6c0F4G0wsOHNF9ErFGxI7MvWXkno1Kd/U51tFWg8MdX2fKulJzR2rMVhNlOdeYLqzHRMedmYCvPA4UDuH4Bot2MtK0Hm7YOtUoetsgK5XwB2YzU2fSXWinIkMjnKkDBUEdF4xsTjEZNQZwnt6e6ls3F8jc8dz2H90W/eic+FPW/8nYHfqATKd6a7RuAIgjAFGERN/6g6t5QoigVAwan/CwVBKAX8gR4lcMx6Kz/etwOVl5yI565HonBNfLWtysTRp39GEahB/X+3Isjbv12H2ULpB1+D3U7MFXfgsFlbvOtp7q7DmJNJ3refEjR9LpF+TacCeviE0GfOHXXp081NNA67jfQNn6MvzsRhNaFQqImNmVJXMbglsrIOY7ePQCpVAgJFRSVcddVVDZa56qor+fWXFfj6BSCVynE4bJSVlZ2xLYvVQH7+TkpteTisJvpeeBciYrNVlZ2hIieVjG3fEDL3UrySa4KT618w2jL5GXOzyP3+E/yumIf6gsEAzNh9iI/e+7JuGQeQ+P6L2OQybNoKtF/+gr1ES2SjSsT1aesEbMzJpPLAbiRKFTGjLyUgbrBT60FD0RKQOKJJsVMrgmpjspwVKI3FU0eyp2RKNZXGPHyHjmrVdbv9lScRAC+LhaOhEfw4vGFZhM4WGC1NnD3BaiA6HOiPp1C5byfVGWk14iS2F1F9p1Plf5KC/WsIjh5edz74RCejy06pewwYWPN9iqKI1VhJdVk+5dZsyjavw/zDUjzjE/EeOAzvgTXXodrzuCd89qaConuq+8uZ8QUkjSX/l6V4z5nsskzgnow1ajD6H39qcRlng4wHAcuAu4ALgX8CM5tYbhggFUUxp82j7UT0pSa+u30bEYP8Ud6wqEWfXVuwlFWR8ugP+AyJQTbnzIaJbcFhqKbkrc+RBvoROf0qBKmUit1b29yHxXDiGAU/f0ncmCvw9Us+Y536yFUaIobMavbO3WGzkr7hc8x6LXZzNR4qf+x2C1KpgpzcLcDpYOKmKg4X5CuQSpVIpXJKSkrqAoqTk5P5+utvuOqqK0lJSWHuvNksW7aCoKAg5HIPCgs8zug3lZO7lazsTXj4huIfPxQRsUNWhOzibZRtX03ElTc2Ky6cnfwMJ4+Tv+wLAm64FI9Bp2vUZIQGYJZJUdrs7ImL4uLH76hJz97wN7pf1uA1dQwh827AbjZRuuHPJivfOjMGm0FP2ZZ1VJ88jl1fhWdsLywlRVj15U4di1rqW1WaEzvtPeZNrdeaxai593OKtmLXVxF42eIW9/nLOy9T+4sUgQ8mzXB6vK6ipYmpO60G9esfST3VhMaOwnfYFciUp63PHv411bTt1pqbmdrvzWNAyBmtTwRBQOHpg8LTB1/6QvxMbOZqKrIPU7RjM8Url+E3elKHLTqurLTcOMC7J1puanHmOqAKjwKZFMvJbJQJrkua6ako4iIx5pVj05uaXaZVgSMIQgywEnhNFMX/CYKwEzgoCMIkURQ31lvOH1gK3Nz0lroHbbaeb2/bxoB50dgucl2NG2OulpRHfyDkwkEdrnFjr6ik+PVPUCX3Imz0RXVCqa19WKqOHKBoxU/0mnQDXiFxTu+/qcnHoq/g6Mp3kcjkDEi4jPSM1Wi1x8jJ3UJszBRiY2p+bLUuqtrCe+UVGSQnLUIhV1OutZKaUkxIqLJBttSvv6wgNDSEn3/+lQUL5nHs2FEWLryQZctWUFRoRiFLwmI1kJWzmcCAJHLz/qZQexjviCTUgVHk7f0Dh8MKonBGJ/DWEB0OTh5bjiEtlegld3Wo9QJAVcpBClf+QOBt16DqE4+X3sC2h//F5JceIC0ynHuXXI7MYeO30cOwFpag/ewnRIed6OvuQBlcUxSxckdNzRDAqcq3UO/uc+BwCn//HsPxFADCh8zCL24guToz6pDYNlm46ltVWhI79R9borUK2K2Jpabe1+Udo2TDCqIW317nmmrKGhBSriWp9HSNodcnn3E/1iW0NDG1t9dVR7GUFlOw7GsQJMSPugKv0KYzPeUqzenMw1Mu7NAAL/rFhaIZ24fctLFkVXtQqrc3ub5M6Ulg4kgCE0dSXZZH9vE1lO/YTMjshf/P3lmHR3Xm7f8zbkkm7gYhRHAtDm2BQgulpe7utu26d9/d3767b9el2607bWmhxaVY0eIaAiHEPZlkknE7vz+GGSYyySQzwZr7urjCHHnOc86ceZ77+cr97VMaOZwnRqGolRVINfPLCSKRCPXYEZgOnvhOEByRVEpYdiKGwhq/x3RLcM6RlnXASkEQ/gdAEITjIpFoKW4rzuRzxymAL4E/CIKwy09zFxy1J1v47LndTH8yF/30uSHTuDGcruXkr74g/YHp2IdfHVS79vomGv7yJprpE0gYMbcdUeqJtfvu1x/aS8Om1eTMfhx1TO/SXztOPi6HnVPrX8Nm0AHQ0HiCiPCUdjo0HguLx2rjm0lVU3vQGzvz/rvbeeb5KVgsFm+2VGRUDBarncjIKG92lcViwWQy8f67u7ztFp9dR5XuEJaWOmKGTGTQ9DuwWwxIZAqcdluXlcC7g9Nu4fTejxDsdtIffR6JqnMNl96sEBtKdqJfv4H4Fx9BnpHCyx9+yUNbdgOw+jf/4KHnH2LNVaMQnE7a1myldf02tAtnE5c9o521z1PpWiBwE7lnoNft2oY8Np64nClIVRricifTVLTPK2zo+dsVgejOguJbXNUj9KhNz+/W4tIxM687BWzomSx1lT1V/M0HCHYb5tIz3ppTHa0BIqeTrX8/X37BIpHwxsyLQ3C6Q19Sr6H9O9p6/BAiILKHmleec6TaaOrXfEHMORXznmQCPM9+wqz5PHX7tYzO9h1b3GJxh4uqeOOr3ZRU6/y2o45JIXfyg7TWnKFk/WdohuQSP+8mmvds65Ulx5cYqTOzgnIpBVLN/HJDZMIwajZ+Dt8RTZywoYkYivwncndLcARB0AGddOEFQbjD83+Re0Z+F9gsCMIHfe5piFG2r4HlP9zLvF+MpnbErJC1qz9SzqnfrSDy3luxDx/W8wndwFZZS8Pf3nIXTcya3vMJftC8dye6HZvInfNUJwG/nuA7yQHUHN1EW00xSm0ciZHDvANgadlm0lKn0dh0CrO5wVs7ytdqk597S6esp6IzZbz+32q++HwFao2GuDg3SfJkV0VHR7J8+SoMBj2ffLyHLds+BSBSm4lMrcVpt5Mw/GoSz32HvhOvRCYP2HpjbdNx6pu3UaVmkHDDLZ0KVHoQyApREATqjm3E8M23xP/4SWQJsXz5u38ypqTSe4zKZudkehK2ihp07yxFrFGR8ciLyKNiOl1TqgnzaqAEAofRgLm6ErFCSeqo+cQObV+iwPNMtOn5hCdmEZM9ocuCmIG4m+oLdlJzZCNJo+aiLy/oNkbHk5kHkD3n0R4JTE9xOL77XS4np3e/T1j+SJxtrWiGnv/tdbSE3Ld7Wzu14nE/+1+/14DO2jSB4kLEkXRl5enqHRX3YPnznCOSyRk657GAy3HIlGHcft8j3DUzG7W6a+mElEg5P7ptAku2FfHN4bPd30/SEIZd/yKn93xA9efvk3D9LZ3urzv0plZWIDWqLmW3VCDoeI/KlHQc9U24TOagkl0uF1i0gxAXH/W7PxSRtlOBO3C7rW46t+0+QRCOhaDtPuHU5mrW/s8hBv3kZmpHhM5Up9tdxJm/rCf68XtR5vZe1t4X1pIKGv7xLlF3LiQ2ue91eHS7ttKydwd5c5/2ZhT1Br6TnIBA1YE1KLXxTBr5DGKx+/Ww2Y1IJHJ0uiLM5gZUqjgvifFYbQoKvyA/95ZOWU81tQfZsWsdZWU1/OQn3+Mcv0EikXn/lpyt4gc/fJK6OpdXS0csVeByWEkeM4/k0XM69bs3QapttWc5s/19oqdeQ9SkGd26E3taIQouF9U7l2M9VUzCT54mUi5l/5M/R2V3eI9565op/OaOG2hduYm2zbuJvGUesZlTgnaPCi4X+sN7ady0hogR4xh12y+RyNpnXXUkrB74FsT0aAX5IyDt2jgnlIhI8Ou28nwPqRMX4nI6UEbGewUXgy3DAG5CWXx8OWKZAnl0LI0Hv0WdmeWd4HwnPbndTlqLDhcgBh6651Gcku6HuY7aNIGiv2JoOk5avm37llwIHz4GRXIaInomCOH5o2n65msyJ93aq1pjg5KjuWtmNrcsWoBKpWTZijXeRQpAQ0MDi2+8HrPZwhdfraKivqVbSw6AVK4id+rDFO54C93ubcTPDa0wpAeB1Ki63AlOJ+ulRII8LRlbeXXQc9TlAFliPIZt/t+3oAmOIAg7gO7tnBcQR78qY8s/TjDkt3cSNrRz4ce+ouHrE5S+sZWY5x9BkZkaVFuW0yU0vvoBSQvuJCy571agph2b0R/YTd6cpwNKA+6IjnWmKvetQiRVEq3KoLR8m7fcgqcsQmxMLkXFa73p4DW1B8nOmk8RdHJNeeAhQkZDLL/9zXLi4yPIzUsmQquiVW/m6LEzHDy4HkhiyOARnFSJaKs6hSomhbDYNASXq9vSCj2homEPjdvWkrT4bjRDcns8vrsVosvhoGr9hzj1bST8+EnEahXfvPAbL7kRgCeeuoeVcTE0/fZfSKK1ZD7+/aAKdXpgbaijbuVSBKeDnGv9uyF9iQfQzuLitNvaERWH1ehVqfZ9vvUnd1BzeCN2SxtiqZykUXOJz5vqN0bHA5U2AW1KDpX7VyFThvvNxOotymu2Y64oIf3h5xGcDkQikd8J/Zs/vUxVZBRbs/OIM7SxJ7v7QHvorE0TKPor86a7Cdi35IIiLoE4P5a/jiSp7eRRNENyCU/O7lVc1mOLJqNWy1GplJwqLGTxjdezcvVaEhOTqKmtYfGN13OqsJChOTmoVCoeWzSZn/1ndY/tiiVSsq+6h+MrXkE7ahyKhOQAnkzv0JsaVRcDobAAdnUvstRE7FW13wmCI42LxlKr97//AvalHUQi0bPAg8AIYIkgCA8G2+beD86w96MzDP3jvajSem/N8IeaFYeo+mQPsS89EbQ6sfn4aZre/ITkm+5Dk9Vzscuu4DAaqFn+MbbGBvLnPoNco+1TO751pppLj6KvLEBwWKiudUsceTKkPNCo4xg94n4Ab3kGoEvXlAcecmSzGzlbuomzpVBZ5SZONruRgsIv0OlOMSjjWs7otmNuqgQEjHVnkcoU6CtPdlsg028GmNPhLphZeoaUux7GXH4WRVJqnwcSp9lMxZdvIQ5TE//SI4hkbgvUwp8/w86fvoJDIib7ny/TvGYrho++Iuq2G4hJDaC6dQ9wORzodmyiZe8OYmbOJS1+SrfZel0RD8+zic+fSlPRPu92j0vJ5XSgTck5/wwFd59NTdW01RR1GefkzzoTSCZWx7a6iwVqLj1K8/4tpD/yPBLlOYVrP6vu3f/7UyKtViLrzNRFaLntiZf8Pidf+GrThKoOVDDobgIOdHLuWKahee920kcv7FUWXGJMuDfmZtmKNV4yc9PCG/h4yRLuvusuL7lZ+tlnxEZpiY9XkBAdTp2urcf7lCnDiLpqOs37dpG44NYej+8tAq1R1VsES0w857tsNm9yQV/709W9qGRxWBq6t6JdKRCHqXFZHX73X8xim9W4RQOvA4JyFgqCwDevnuTkhiqyXwmdOjFA5Sd7qFt7lNgfPI00LjqotsxHTtL0zlJSbn0IdUbfa1RVf/4B5pIi4ofN6DO5gfOTkSI8mrI9yxmVdz81tQfR6U4THT2U2Jhcyiq2t0v99sC3yrdv4cuO8KSP22yGTqnl7mudIiIijcrGA0Sm5pG38Hs0nt4LIoHowWO8MST+0GUGmKmVol3vI1GrSX/0e+gP7ArKJG3XN1Px2RsocgeTdPNcNvzyL7w2dwZLrplMVXwsk//4Y8qMZpp+/yrSmCgGPfaDgMssdAdzRSm1X32KPCaWYQteQq6J7NX5/hSA4VzQ76hrsbY1odTGtdsenz8ViUzuzsI6Im1XhwwCC04G/2Sn48Tq2ddWW0zm9Du9bbbVnaX0289JvfcJZJHd//Zu3buDKKvV+/nnC28L7CF1wKXgvuhuAg50cvYlQq2H9+JoacakqyJhmFv1OZDYtWGDzlvA4+LiWLl6LTctvMGtRD5qFOBWIl++YhUREREIgnssHj44MSCCAxAflsuZY0sCOvZSQbDviOf86JlziZuzIKSWJIfRgKWmEoesZ52yKwEikYj4Hz9F3e/+1eX+i0ZwBEFYBiASicYDffb5CC6BDX88SuXhJgb/8QHkUZ1rFvWxf1S8u4OmnaeJ+f7TSKP6TiQATAdPoPtgWZ/rSnlZv8OBpcYdzCqR9k6JuSuxtahBoyhY+TcSIvNRqaKwWFuwWJuxWFtobCr0Wml8CYzNbqSoeG27Kt9d6eDA+WyoqEi3uTQqMstr6UmIH0G9sQiTvo7MqbcTme5213ksDVKFpkfLTUfBOUNdCWe2f4B23CRiZsxBJBYHZZK21FZR+embhM+eyrDReex49mUA/vDRl/y/j79i8Ku/pXDnAdq27Cbq9gV9ttr4rgrFMhkNm9bQduIwGeNvIipzVMBtesiC02FFIlWcF2TrIlXbWFeKRV9PVOZoUscv8G73kJTaY1vQV54kPDEL1YiETteA7q0A7TKxfKqOd0RM9gTaaovRV56kdPsnZE6/E4e5jTPb3iNp8b0ok7sfHkQOB7/zKaR5JCmV5j66BS8V90Ww8CVCEaMnotu5lYjkob2Ki9KGtV93JiYm8fGSJV5yA/DxkiUkJSVjMrrd3SJR5/M6wncckijUuKz+dUwuNfjGQHV8RwK17HSsERZKtB7eS9vxQ0gTgpO/uJygGBQCJeNLES6Hi9W/OURzuYGM3z+ANCw0pRcEQaD0tc20Hq0g+qWnkYQH9xKa9h9F99FXpN35eI+DtT94WL9YqSJ37lO0VZ/ucRXWkdB0nJhcTgdnt3xAWGw61ZX7UKljvDE12VnzkcncadQdLTkey0t0dE4nHRxwx934po972mhsKvS20dpawfGS5Si18Qy75oftLAGBTKAdjxEEgfLaHTRt20jiTXcSNvS81aGvJmlj0Umqv/qYqHsX8cvyGl74+Z+9+5wiEcN+9Dg1f/gPknANmY8FF2vj+X5tTY2Yzp5GlT6YEQt/iFQZOGH3JRIuh42awxvRV52iraYI6JyqHZM9AcHlRBmdjN3YQvWh9RgbK1Bq41FGxKGJyyBp9Bycdlu7OCi/xS/9xHW4M7E2kDRqbpf7ZcowMqffSen2T9BXnqTu+DYaSw8Qf90iNENyerzvo7/7EY3AO7h93nc88VKf3QiXUumEUEGqCSMsdzg6ezkRDAn4PL3B3O5zbW0Nd991V7ttd991F8tXnlMiB0RSeafzOsL3t6uKTkYW2T5+8FJQOfYH3xiojn0L1LLTn+9YxOiJ2JoaMbfW9kv7lxsuC4IjEokeBx4HiEhyrw4cNidf/WQ/NpODlN/cj0TV9+rPvhBcAmf/tRFjUR1RLzyFWNNZK6U3MO07iu7jr0i76wmUSb3Tp/GFSCZHrFCSM+cJNDEpaPwEmfpONh1JgG/6cNWhdbRWFyGWKRiedhO18gwv+fDE2YCbrJwo+JTmlmKcThuDM6/1khZfa43vtsqqPZSWbfYe77H+aNRxOJ02TjRtpPHMPiKSh5I+8aZOk15M9gScDmunibXjMd5j7VbOHF6KraGO9EefD1q8D6C+6Bv0qzYR99z97H7zUwb5+LRbFXIybpxN678/JHLxdcQOmhp0rE14/ijaTh7DcLqAQZNuIzKt5+DYjvBkSqWOX+CNo1HHJHvjazyw6BtoLj9GS/kJTI0VKCMT0MSm4WrQYWquQEM4TpWFsl2fIZGrMeuqMDVVkDn9Tu91fMlMTyrFnkwsl9PqN8DVQ3LqCrbTWHqA6OmziRg5Duh+wsupqkCGm9z8CPjv1KuR4n+yuZQnz/7sW+SEqVR+9DqpCZOQKgIb006UnJ8kPdlSpwrPKZGfi8EpKCjgxhvmt8uuOn62+8nVE/DudFipLt9NWM7wdvs7fneX0ncWivio/oRUE0Z4/kisBzuXu/ku4rIgOIIgvA68DpA0LEqwW5ws+/63SORiEn5+b8jqSglOF8V/W4+5qpnI555ErArOIuQlN3c/gTKx7+SmrfA4Tds2knf98351bjwTikcADzqvtH1dDzWHNwKQmX41CnlYJxeUxwJTU3uQ5pbidtfqKubGd5unTpX9nBqxhwg16YooLF2JJjaN+Jwp1BzZiCY6xevG8J04OyqodoTnXswttRRtfx9VWgbpjz6PWBYc0RWcTqp3fYml4DSJP30KaWw0mT7k5l8zJvKDukY4XEDGw99DHh18MLuppIjarz5FlTmE3BmPtZPL7w06ft8enSCZMgy7xUDtiW00ndmPw9xGZPpwwkXRGF2lJITnInHIiR0yuZ2VzRI2gX3H3kQREYe+8qQ3QLkjmelJpTg+bxoSqVucsVvLnCCgqzpG5PgpRE2c6t3sq/uSeNNd7Sa5f332LgAPAWejY9k4xd2uv8nmUoix8Yf+rFulTEohYvgYivZ+RM7UhxGLu9aB8kVtUxuHi6pIiZR7yU1Obi7LV64mKTGJ5StXc+MN873ZVctWrKGqxdZj/I1MGYZEJqdy/yrECiXJN7e3CnX87i6l7ywU8VH9DZfVikipuNjduCRwWRAcXwgugU+f2UV4vIqI5+4IWV0pwemi6JU12JoMaJ9+ArEiuInSdOB4O3LT1wHKVHqGuhWfMfTaR7sV8fOk9iYMn+mNp/Cb6ZI1jtrjW4kMSyc1dXKn/R3dTR7C0rE+lD94RACbdGewWJpwOCy0SlowNpSTMXkx6tg06gt2tovJ8Gdt6s4NV9m83y3QNmch2jHBr5qcZjOVq98Dl8CQFx5GpFFhFIn4ZPp4bt9xgMXzZrBqx34irptBfP61AdUe6+57d9lsNHy9CsPJY2RedRuRaZ00NXuFjt93wvBZGOpKKC9cTmtVIRHJOURI41HF5ZAQMYo6y1FvyY2u3It19cewG5tRhMe2i9GBnoNUfa1wQI/ijA6LkcItrxOeP5KY6de22xcxeqJX1K718F7vJPLhW/9k1+BsYo0GBjfWs+X5n3kHNH+TzcVeZXf3PvR33aq4OQup+vQdTu1+l6ET7+mkodQV3vhqNz+6bQJms4Wc3FyWrVhDVHQsFpudqOhYb3aV2exWIn/jq309tgmgjEpCJJOTePNdiBXKbrV/LsR3dilZiYKFw9iGJDw0saiXOy5mmrj03PUlgEQkEikBhyAI/nO+AF2ZgWHXp6F67DZE4tAUXxCcLk7/YRWONgsRTz6OWC4Lqj3T4QJ0Hy4n7a7HvZabvgxQltoqqj97n6zp96KJ9R9I5b4J97MQSxQ9yvI3lx9HFZnIiKF3d+la8Y2bqak9SEL8SBqbCgG6DCbuuC01ZRIt+jJaWoqRh8dQWfst8blTyZx2BxKpnKpD69zquKPneF0V2vR8ryYLdC/k57RbKT7+JZaKUtIeeCokGhq2xnoqPn8LZX4224vLGPWTP1KUFMec3/2AH92+gEetduxHTpJ295O9cjX6+97NlWXULP8YZXIawxf+IGC3QSAQXE50pUeoO74Np91CfN40hicvoLpmP8X1biLT0lpOS0sxmRnXkJoyCYlE7iU3vmTHaKzHIGpt9114yIrH3dSVi6orK5zvd+r7PopEYk5ufR11Vg4xXei6SDVhJN50l3cCAvjzkrcZX1HC+IoSVuePYv7zPwvo2VzsVXZ340Cwdau6g2cCT1xwG41b13N8zd8YPOmOHmvWlVTrWLKtiC++WoVarW4n8gfu7KplK9ZgMplYsq2oR5E/QRCobPyWxp1rSL7tfm+sXF+fS2/hj8hcSlaiYGF2NiKJ6b0u2uUKweXyu+9iWnB+Afza5/O9wG+Al7s7SaaSonr8tpAVzXQ5nBT9YRVOk42Ixx/16pv0Febjp9C9+7k7oDjpfEBxbwcoe0szVR+9Sfz1i4kIz+7xeE9qr0eW31+chOByUl+4k1G59/p9hh53k0frprrmAGZzg3d/x8wqT8yNTlfEsPw7kEnVyGVuN4sIEXkLXkCp9RkYz5Ex719AX17QZcZOR5h0NZzZ+QHK5DQyHn8RsSJ4U6zhdAE1K5eQfP01nPxyPWFWt9VhaE0D1tNnaXzzM1Sj8sh86KVeu8A6fu+C00nTtg20HNhDxoSbiR40qrvTA4Ln+44ePBZ9ZQG1x7YgU2sZkjiLmJgc7A4z1TX7iY3J9VrjnE4bLedcj77uxY7p/yREIdQ2t4uFslsM3oBg8F9TqjsrnOd9dDnsNNWdQJ2RRdwc/8VwfSe5EaVnueHUce++v1x7+dTd6WuRya4UjXtjcfCdwBNvvJ22giMUr30fVfpg0rPnoIryL4r6zeGzVNS38NiiycTGCggOGyKp3PtdVbXYeOOrfT2SG0N9KWXHVuOy20h76Nl2Qpq9GR+Dsbb4IzIX27IXSthr6gmb3nd1/MsN1S/82u++i5km/jI9kJmuIIqJDC25+d9VOK12wh99JGhyYykspumNT0m9/WGUKe0tLr1ZhdiaGil/+x9ETpxGSnjXE2BXKd8x2ROoP7kDQ10pbTVF7XRFPC4DQ30Zioh4lMpIvxo3HvgW0PTNmPLs64jmlmKOHv8Ah0zAZmgmevAY0q66qd3E2FS0j+is0Z1cFb6TYVcETRAEKhp207RlHXFzb0Q7+vy5fR3wBJfLXVNqy26m3zqfre983m7/4omjafjPRyTdcAdhOX1TnPb93m2N9dQs+wiJWuPWtVG318rpKRvJHxpPf0vVgTXUHNmEJi6NYVmLidRmevf7WmUGZ7rdPza7Ebk8zPs9eqxwTqfNm/4vlaqoL9iBy2GldPsnpE5ciL68AKfD6iajydntXFAd0Z0VLiZ7Ai6Hncaao2gGDSXuuhsD/l1/9u55zQuLREJVTFw3R19a8LwPup2be20x8H3Pe2tx6DiBh+ePQpOVS/Pe7RRufA1FfCIJaROITBuGRK7s9C6WVOv42X9WI64/TrqqjSFjZyFo0zl+tpY6XZvfd9dpt9BSdpzasj3Y9S3EzJiDdszETu7d3oyPwVhb/BGZC2HZC2ScCtZVJggCttJK5PfcFGRvLw+4zBYEp/968JddDE6oIDhdbsuN1U74w48gkgX3KKxny2l87SNSbrkfVXr3Zt/u++Wk8sPXcRoNqNr896krt4BHmRhAqY33BoZ63AMIIvSVBcTHjWg36fkT6ZPLNO1Uij1EqOPxqSmTsFkN1DWfoLW1AmVkIg6rEXV0Srer/o4EzXMftce2tLs3h8XImUOfYde3kP7wc8hj49tdvy8DntNipmrdRzjbDLw7dBD3+pAbm1jMkMwU6lvbGPTo95FGBKeBJAgC+oN7aNy05lwV5/Z1qbwB4g6r9/vzJQb+Jg9BEGguOUxD4R5kYVHEaAYxJHOeVyXaN1Xf6bThdNrcxMan/IYHnvchM+MasgbPIylxLCUlX+NyWL1BxuCuTp40ai6p4xd4A9q7U5rurv9NtcfRDM4hbu7CgMnNpldexvfI0b/4v4DOu9TQF4tBR3Xirs73N0F2NYGLFQpips8mavIsDCePUn/0AKV7vnBXaReLMRWfwumwkjLmvNvQGpHJnqJ9FMmakCndwoq+v22Xw054UhZN9nJMJUVYKkpRZWQRddUMwnKH+y1y2xsEY225mC7KQMapYF1ldl0jIokESUxkn/t5OcHR2IwiMQJzWddZY99JguOJuXGa7YQ/8nDQ5MZWWUPDP98jaeFdqAf17E7y2y9BoG7NF8iiookffJVfawZ0bfHQJGQSnpSNOiaZyIwR1B7Z1E6FVnC5w5tUquh2ad0ARlODt86URn1+RdydSjFAW1s1RU3fYNSXEp8/DbFITGTmCK+4nAdNRfvQV55Em5rnN26jK/G+1urTnN31CZqcYShT0hGr1J0Gcd8BL5AVkKW2iqpl76IcPpTYp+6hau02777ycA2DxGLCR+aRMXJuQIHE3cFpMlK74jPsLTpyr3umy0Bxz7PwEIeO33tXSr9ttWep3LcSQXCRn7WINkMNxWfXodHEe1WifQmsRCKn+Oy6TuU3POiY+i8IAi2OOiIzRpIybh768oJ21ck9mVn+goZ9++/RwXHabaSMvQ67uY2Tm18jbOgwYq+9vkdy4/lO04fkkWJs9W5/ed4iCJE190Ij0InWU+k8evpsvwJzvujLBCmWSokYMZaIEWNxWS2YSosxFJ1EGhlN7cnt1J3aiSwyGmlYOCKZHIe+mVZHPSKpFMFux1Jdjq2hDsQSqo9vRtlwEnlCMlJNOBlPfj8ksg2+6O7ZXcrBwoEQs2BdZS1NJ1DmDwmZl+NSh6O2AVVK9ADB8UBwuij6v9U4DRbCHws+5sZe30TDX98m6s6FhCX3XrsE3D/K5r07sFSWYdc3M3zeC94Mh47WDA98VWI9qydtah5tNUVoU3Iw1pV2imkJTxpC05n9pKVO7URcPMrERdCl1cYXgiDQ3FLM2aZdmHRVaGLTyV3wAgqfgp++cTRmfR36qlMkDJ9J4gj3wOR0WEkYNgunw+qN7+iYWlxyZi1txw+TeNOdWGuraNi4yks4fAdx3wGvO9O/IAg0luykZdl6Jl43nd+eLuERqZRXF17LvIPH+Ve0lnfKqkhZdC/qzMAF0fzBVFJEzfIlhA8bxdCJ9+K0W7rUgfHVJ9KdPUR9wU4QCV5rjq/Sb93xbVjbGjE2VDAkbTYJ8SMRicSEhSUBdCKu/v52RMf3ob7hGC6HjaxZ9yISS7zfp2pEQrsA40CEGH0rktuMLRRu+i/hI8YQM3NuQAOxZ9J+aOeW8/3ThPPJpJk9nnuxEKqJ1lPp3NbchL2x3isw5+89D3aCFCuUhOUM87pkBUHAaTRg1zfjNLTRevQAlqpyJGHhaLJyEctkqAZlYa2qQDt+Moq4RERisbd/ioTEC2oxuZSDhQMhtcFamEwHTxB+7dSeD7xCoGw7C5mx6HYVdbn/O0VwBJfAmb+sw95sJPyJx4MmN86WVhr+8iYRC68lNrnvQV0edUyAxBHXtEvf7Jhd5IGvW8NDblInLvSusH0rRXsglsqRh0V1SVp8FYz9ua8cDgulzhPUF+5y93XYDMITsqg6uIbmhMFd6tmAu6hjW00RYokUmTLMq8OjTc1zF9OUKtqlhqtj0zi+/m/IY+LIfOoHSNQaFOey0XwH7t6IbbmsFqo2f4a9spYXrp3CX75w398Tqzfz6vQJXKVRg8VG5iPfRxoW7ve7CgSC00nj1vXoD+1l8JQ70Ka4q5jXF3St0NyVPpGvNUemDCNj8q2U7vyE+lO7SRw2g7yE66hrOIbdYe7S5dQVnE4blVV7vFXi/cFmN3K6dA1Z1zyIqAu9lJ6E/TwxX+CjySNVEJaYxckN/yZywlSipwZWLgDc32VudRXX6HXUi8XEGdq45sWfB3z+xUCoJlpPhfPo6bOxVJR0er/7O5ZEJBIhDQv3/iaUqRkok1M7EzeffjiMBlw2G9E9WJt8ESpCeCUFC/cWdn0z9vJqVCP6VsT5coThdB0J80f63f+dITiCIHD2nxuw1rQQ8fQTQaeCu0xm6v/2Npqp44nP6n5i6QnqwTmIZOuJSh9BwvD2q1J/2UVduTVkyjDvMR6XkDo2FYlUQUz2BFTaeCz6OhwOC9IOdaxkMjVRkYOQydTtYjbajLVUVu7GorTTWn2KiKShpF91E+FJbjOo3WJAJBb71bMBSJ24sN1fX4uFbzFNqVyNRStQ8837xM29kYhR470rfN+B22E0tOt7dxoaAJbqCqq+fB9FbhZnTWZSv9ro3XfLtm/51dZv0UwaTeK4G4KOEbDrm6n5/ENEcjnDF7yETHWeLPWk7eMJBEcQEZ8/1UsQ9ZWFlO9Zhjo6hUljnvUGiHfUrvEth9GRpNbUHqS0bDPQuUq8LwRB4HjlV0RnjSMsPtNvPzveR8fvvWOAsTY1j1ObXidmxhwiJ0zp/iF2wD3HDvKbE4ewiSWsGDGa/523GIc0NMrlvUFvJuFQTbS+lc7VPrF9FyuWJJDrth7eS5OfcgbdnXOpWl4uFzQW70Y9cVTQC/fLBYLLhaGwmiEvdZaW8OA7QXA8taWMxfVEPvtU0CJ+gt1Bw7/eR5E9iIRR1wXVlsvhoG7lZ8TOuo6M1C5E+QJIwfUq1fq4Pzz7fdVjY7InIA+L4dtj/2FMzn2o1ed9477lFeJjh9HQWIDRWEtZ+VYEwYU2LZ/hi3/SbsKGzpkyXVmcVNoEsuc86u2jJiHTe4znXIu+gTN7lyCWycl4/MVuq0d3HAz9DY6Cy0X9yc20rttG3sLZHPx0FXKn07v/88xU7mhsJvGG2wjP878KCBSGUyeoXfEpUZNnkpE6C5GoffyOr1uxK1eVTBnWLqDTbmql/NsvMTVVkpu5gJjo8yszX62igsIv0OlOeTPeOu4vq9hObEwuNpsBg6GG2JjcLvtvsxs5VvElNkMzg2fd3+Uxvvfhi+7Im6GhnKItbxN/3Y1EjBzXK6Kgspj5zbovAZC7nLw+fQ5GVd+UnoNFbybhi6230xEXMjalL+QuVITwQhClSzHOx2W3Y9j2LfHff/Rid+WCwV5VizRciTzG/3fwnSA4Fe/uoPVohbu2lCo43RTB5aLprU8Rh6lJnrY46GCuhg0rkEZoSU+Z1W67r8k/kBRcfyto30DQpqJ9mHVVAOzZ/3fCEgahjkpCJJbQ2nYGgNLKHV5So4xMIO2qxZibKgJOXdYVH3ZbjmLSSBnbnvx5+qjUxmPR1wMw5NqHKa/dge6br4mZNZfICVN7DOz1Z6b3HRztrS1Urf0YwW4n8efPcPwn57NtBGD2mGF8U11H+gPt9Tj6AsHppOHr1bQVHCF75oOE9SCe1lMxUUEQqC/YTtXBtcRmT2TSqOeQSM6vyjqW0vCk8WdnzacxcpA3dspXy6i5pYSI8BSaW4ppbCpsF0juwdmSr9HXFJA44hrEksCGhp7e09bq0xRv/5DERXeiTM1At3MzTpvN65LtaRLa94fzrigXUN4hg66/0NUkdrHcH6GYUPsy8QdbsNRhNPjV+unYdqgI4YX4ji5Fa1Nj6S7kGSnIU/zrGV1pUFQeRjs2s9tjrniCU/XZtzTtPE30S08HXTgToGXpGpwtraTf/lSvMmy6GizaTh7DeLqAYde/2Iko9TQJ9hTz4IEvEdKm59NcUYDNoMNubEGmDEcRHoPdakKmjkCpjUOmDKP+5A60qXne4ormpoqA79M3oLQjPH3TJGRSe2QTcXnTKNj8KohwF8kMUM+k42DY8XPbicPUrl9G+NWTibjhaiQiEXuHZDDxTBlGmZTkzFRsDgeZD76IJEhrgF3fQvXS95Go1Ay//kW/1b99M8Q8Fb+7snZYDTrKdi7F3FKHy2Ej3BrWjtxA51Ianr9ymaYTcfHVMooIT/GmgHeEvrWSmoZDRA8e28lN2p0+T8f3tF32lL2Y+h3LSL7jIdQZg72BpzEz5xI3Z0G7Sair38cPP3uXv+KuMxULjPvJ77t8tv2Briaxi2WVCcWEGmxael+u2935/UUSLsR3FAyJ6g/rj8tmpXX1FmKfeyAk7V0uaN5TTPIdV3V7zBVNcGpXHaJ21WFifvAMkvDgX6a2zbswHy0k8/7nEffSz9nxB21vbaFu1VKyZz3UpUx/T/Ea3Vls/FVs1pcXYKw76/2s1MaTMGwGtce20Fp50hvLI9dEes+vOri+XYpvT/AUVuyq354+Ci4nstwsSnZ8TMzMOUROnBZ0OjaAramByq/ew2W2EPfsA3y04mt+rDfQEK3lsWcf4IYN3/DK/mOoBqeTftWNQV3TYTTQ+PVq2k4fJ3rSLDLSOrukfOGb6u3RkvElDYIgUFfwDVUH1qKJy2B0/v3odEVdkpGOpMZfoVRP8HFm+izMZh3RUdlEatPbPzO7kaqqPZTX7kFw2HHazH777rTb2hXwhM7vqefYZkMp1qoKkm69D0tlKfLY+HYTQ8fBvePvI6WpEV3BUX50bv+kQdmYlcEVv70YMTTB9slhNASUHh5I26ESxQvF+T21fSHdQL29VjAkqj+IXd2xr1EMHYQiM7Xng68QOPVtGEsaiByT0e1xVyzBadhSQOXHu4n5/tNIo4ITagMwHy1Ev2ozGQ88j0QdeCEzz49HM9SddhkxeiKCIFD75SdETpjqN5DTX90efxOLB56im/qqUwyedW+ndGSnw4rLbkcskxGfN7VdCneXBTq7sch0129/RMvUVEXxvs+QKFWkP/495FHBV+MGMJ45RdUX7yGYLeTMnMTJ3/8bEbDvh7/nbHwMk++9iT9u30fkrfOJy+hdkGtHCC4XNV98iOnsaWJzJpGZfk2PKsS+gdXqmDQMDSW0VRedCyoWMDSUY2muRXDaMdSeQacu6pa4ePZ5tnsCjJ1OmzeWylNfqrR8K2ZzA6XlWxk9on1sTXX1XkrKNqOJy0CqUKOvPEnp9k+8eju+fXc6rF3WnPJ9X2KGTKCpqRBrbQ1pDz+LoeBIuwE90FpLryz7EA8Vuw+Y9cBTgX053aA31bovlLWmpwmvee8OdNs2ED1zbsjKEgSKYJ9BV+f7Pufu2r6QbqBQXCtQkhRq4mxrasCwZTeJv34hJO1dLpCf2U30pCzE8u4pzBVJcJr3nqX0P5uJefEJZPHBT6C2ihqa3v6M1NsfQR7dfXsdX/Sufjwt+3bhspjJzLi2u6a88FfMsEsNknP1ndpqirwqxh50DGIFKN3+SbsU7o4TdXcWmd702emwUXZ2A/pD+865JyaERIzKZbVQs3sF5qMniX7wFmZ+vZP/btvjVbt1ikQsnDaBpjc/JeWWB1FnZAV1PVtTA5VL3kIslZE4ajYJ+W6iEUjqtGe7RCanrboIbWoeFn0DzSWHUYTHMDr/fhoaC4DOejW+QeCecgtw3l3lcUN5lIidTpu3jlh21nwA71/vs3M5qDOdQabWkjntdqTKMK+mku+70y6eq5t3weVyUlK4CsFqJeOxFzqJMHYH38kwpbmJzbnD+X5VOT8A8n79527PDRT9Xa071H0CvO9xX34pl2LKdMfn3HG87GpB2N8IxXMK9P0JJXEWXC6q131CxIJrkEZHhqTNywX1G46T8fCMHo+74ghOW0EVRa+sJubph5CnBh9w5Ww10PDP94i660ZUyZk9Ht/xRe/447G3NNOweQ1xgyfgsJkDCtztyV3li/j8qW5riyBqd7zvZAt4/98xhbundN9A4dtnfVUhJXuWIlGpSXvwaRTxoQmEM54tombNJyhzskh6+Xsc+en/EW0872Ipi4lkxIRRmHfuJ+OB5wKO8fEHS201Fe+9istsImXc9SSNPE80Akmd9j3WYTPTWnUKm66KiIg0WlsrqK07jNHUQHbW/HY6NTa7kRZ9WZd98s2WqgtPabetrv4YZrNboXrcmMfatWmxtnKw8F0QBOwmPbqzR5DI5O20lHzRk4XKabdwavf7iMQS0h58GrHcHczf2wF92snjvPnp2+wclM3xpFTemTwzZGrF/Vmtu6/o6flETpyGWC4PuizBhXL5OIwGWvbuQACiJk7rdK2OzznQjMj+RChIx8V4f+oLNgF8p4T9AGyllTjazGh7cE/BFUZwTKWNFL68nKiH7kQxpOeb7wmC3UHjvz9AM3lMwEJ+mqHDMJUWe1cgvj8edymGZSiT06g7sQ2ZKjwg8tATyeg4+XS00kAHZVloN/FmTr+T+pM7QBARnTUaCIxM9dTn6KyxnD26HEtVOZqsoegP7cVYVBA0wfFabY6cJPr+xahG5nL7tr3tyM3vF83h/1XX4SwuI/OBF3rlVuwKrccOUb92GXHXzEdWZ+02mNsDf8TUYTHSWLQXh7mN9LTpiMUyoqOyadGX0dJSTBG0cyXV1B6kpaWY6OgcUlMmtWvL113VsRxDXs5ijh7/ELO5gZrag97jXC4nBwvfw9JSR+LI2UjlSq/7yemwIpF2zjTsLujdZmrl1LY3USankXDDLUFpCb3x6dsATC0p4r77n2Tf4AsjWuZvkrvYKcGhWvFfKOLg0cABkMjlna7V8X58x8tg4o0uJi7GO2IuL6F1w3YSf/5sSOIXLyc492wh4YbRiCQ93/cVQ3Cs9a0U/HwpmY9fjTWna52P3kAQBHQffYk4XEPi2OsDPs94+gTGopOoM7M6pR8bT53A3tRA7rVPoos6iDY9329AcFfwW7TQz+Tje3zHydbpsOK027zHeBR0/RVODLTStd1ioPH0t1giXLR8ux3tuMkkLroTl93WLtC0rzCeOUXN2s9Q5maR9D8vIla7s6A+mzGB//fRl0idTqb84lkOf7oKSWQE6bc/1euAcF8ILheNm1bTduIIObOfQB2TAgFmKndFepqKD1C+50s08RlEiRMRiUSUlm0ma/A8crIXUlS8lulT72bMmFwitCpa9WaOHXP3v7vK7579vn/1rWU4HMZ2leBdLgeHyz5Dpo4gZvBYYnOuOl9XSqrw6ib51r0C/2TN3FzDqS1vETluEtHTZwfldtz/2x+ddy3CBSM33eFSTAnuC3pjYQhmwo4YPRGXzYYQ4LU846UiOQ1rdQXGopO9Egi8FHCh3xFHq56q5e8R8+CtSGOjej7hCoKjuZXmPWfIfOKxgI6/IgiOo81Cwc8/J+mmcVhzevbLBQLD1j3YisvJfOCFXjFkv6UCHA7q139F5oRbkGu0Xmn+7lLBO6I7l4fvX+hcvTtxxNXtzpFIFVTuX+XNivEo6AaateUP1QfX0XBqN7KoWNIeOq8xI+5iNdcbOE1GanZ+iaXwrNtqM3woa3/1V3KrarnpZ09zJCuDvH/8CovBTP3f3kI1Mo+kHjKlehrInWYzNV98gOB0kj//hYBIqD+4nA4qvv2S1poikuJGU1m5i7jBGSQljkUikRMbk0tklImlny1l5KjMDmfP4fixBbz/7nbKyhq7vY5vOQZf91VN7UES4kZwvHIFEqmC7Nn3t9O68Y2zMTVVdIrD6QpujZuPiJ+3iIiR4/r6aAB4bMt6wpwO7+dH7g5sAOtvXIpxLH1BbyxBwUzYUk0YsVfP63XQrctmw1h0Ek123mX3rC/kO+KyWan44k3Crp6MalRen9pwthkx7tyPZup4JOHBWbYvNIRd64mbPQxZRGDyHpc9wXHZHBS+vIzIsRm4rprXp2C8jrCeKUP/1UYyHnwesaJ3qan+BpKWvTuQxyWgTcnxbutNbE13x3dpKehQvbu7tvy5tQK5tgc2YwslJ1djqjpD+IixxM9bhFQTXE0ncFvSDAVHqduwDNW4EST95kXUIjj++E+ROV0AvPv3dxjzj5cxNTTT8Pe3Cb9uJgm5PRPG7gZyW2M9lUveQjMkl6zchV3WZAoUNmMLxZvfQ6bRctWIp3AJThSKiHYZUUOG2njwodsJD5eey4CS4RtampCo4Jnnp7D8i5Ps3lXUKavKZjd6FY3hfDkGX7G/irpvCU/MInPa7X7vR6YMI3P6ne3itaAzwa1o+pbGHWtIuPE27E0NOIyGPq+6xU4n39+23vv52/TB7BqcjfnMKVqbTmErq8Rer8NlNLrvLTwMaVI8yqGDiEoeE7JMvK5wMbRvQuXyCKSd/hI07G3QrbWhDkt1BXFzb7ykrTddPa8L9Y4IDgcVK99FlppExPW9j4v0wLhzPy1L1+Cy2hAr5JcN0XG2tNKw8TijX38o4HMua4IjuASKXlmDLFKD9PpbQ5KV42w10PjaRyQtuDPooFQPXFYLup2byZ1zPtW1O5ePv329CfjtSGA6orfBw/6OdznslFduQ7dnG5HjpzD4+Z96A0yDhb21hZotX2CvrSf2qXtRZGcy98AxXn/1w3ZE9v4XHsZSWEzjax8Rdc8iYhPHB9S+v4HceOYUNcs+Ivba60mL7V5Iqic0l5+gZNuHqGPTGZa8wFsDzDfNWxPWyGOPP8sttyxEqVSydOlnJCQkAyIkEhkNDY3cfPMNWCwWvvhiJdVVzXyzo30tKg+5iYzMIlKb0S4LKyZqCKVKDVJVOKkTFvRI1rqNJxoynrOnV9F28hjpDz2L4dTxoM3zy147nyUlANemRWH6y6+RJcejzM8mfM50pAmxSMLcelHONiP2yhosBWcoW/s35IPSiJ84F1VaZp+uf6khVC6PQNrpD0HDvhTb7M61H8j1LlQMzMVyWQpOJ5XrP0QkFhN9f3AK+pqp7vHRZbXRsnQNABHzZnZ3yiUBx5bVxM0djjwm8IXzZU1wyt7ehq2xjcjneqcq7A+Cy0Xjfz9GM2UcYTnDQtBDN5r37kA9eCiqqPPBtd25fHz3eUos9CVOpy/ZT4FCEASaSw5TdnAlEpWK1HufQJWSFpq2XS4azu5A/+VGwq6eROwTdyOSSXnjH+8y98hJ73EmmYyrXvkptadL0H2wjOSb70eTmB3wdboayJu/3U7TN18zZOYDhMcODuo+Gk7tpmLvClwOG4baM9SqD3XSr3E6bfzx/55AqZShUqk4daqQ2267nRUrVpGQEEtdXT0337yQU6cKycnJRa1WccttQ1m/sZmoyCy0ERlechMdnUN+7i3t4nQMxjoOF36EJiaN1qpCms7s79N7IVOGEZc7haL9H+M0m0h/5Hl3GriqPUns9WQjCB5lAwAyo7XIUhJJXjwPSWREl6eINWpkiXGox48k6q6FGHYeoGr5eyiyMkicfhOyiMhe39+lhFC5PAJpJxTX6koao7fFNoPpx4UkHRfDZekhNy6TmbjnHkAkDa4gsCRcQ8S8mTjbjF4LzqUOe3UdTdtPMeat3tXauqgERyQSRQNvAXOBRuCngiB8HMi5tasOo9tZRMyPngtZ9VT9iq8BSBwXeFBxT3DZ7TTv2U7unCfabe/O5eO7L9DYFw96e3xf0FZXQtnRlQgOB2E5+ej378ZcWhQSgmOtr6V6w6cAxP/ocW9tFZnDwVWnS7zHnUxOYN5vX8Kw7Vv0X20k7e4nUCb1XclTcDqpX/clppIz5M9/DkV4390egstJxb6VtFYVMmb4wzQ1nwbaa9t49GtGjJjOzJnXIJHIWb58NTfffAOnThWyePEiPv54CXfffZeX3CxfvproaC1arQqJtJrmlgpE5VK/5EbXXMzx05+RNvFGIlJyOrmdegOboZlT299BkZhM8q33I5K6h46OJLE3k01EazM7/vo7fqlR8TLw/6aNR3jgFiJ6sVgRyWSEz5qEZvJYWtdupfT1P6O9eS5xg6eFxKJ7MRAql0cg7YTiWj1JYwSCYPpxIVWRL7TL0mW3Ubn6fQSny01uQlgp3EN0LnUIgoBp2Rek3jU54NgbDy62BeffgA1IAEYDq0Ui0RFBEE50d1LL/hIqPthJ7A+fRhIWGt+hpbAY4zd7yXz0+yFNu2s7cRhFYjKqqKR227tzEfnu8xdA7M+q09vjewOLvp7SgjVYqiuIvWY+ESPH4TSbkEfFBL2icdlt1B1ej2HbXrQ3zSFs5lWIxGLkViuCSIRdLufmnz7Fut/8nSefuIevxw6jdfUWDN/sJf3+Z7t1J/YYTGyxUPP5+wiCQP51zyGV970+ldNu4ezWD3G5HEwY/gQyqQqtNg2b3Uhl1R4AbwBwc0sJOTkJuGNtRMTFxfLVVytZvHgRBQUFjB49CoD8/HyWLfuKmJg43E4cgRuuf4B163aRED+yXYFND4odh6k6vZbBs+4jImkI0HfCa6gv48w37xI1aQZRU67uljgEOrmZSs5w8r1XEQF/NJi46n9/RG18TJ9j6MQKOZE3zUU9YSS6t5diPnCc5OvuQqaN7GOL/nGxU8cvFvzdd8fvPBgS0Jdn29P1LtdMOKfJSMXyt5BEaYl95HbvouK7BtPeI9ibjSTeOKbX5160JyYSiTTALcBwQRAMwA6RSLQCtzL7T/yd57I5OP3H1UQ/dT+yhNiQ9MXZZqTpzU9IWng30vCuzeJ9hf7gHpKH9J0l+wsg9mel6e3xgcBm1FN2ZgOGwmNETZlF0i33IJbJgdCsaIxnTlG74XPk6ckk/eZ7XtfEE6u38NNl66iPCGNHfjYvPXYn2a//L4Ig0PLZaiwnisi8/zmkEd2X4uhqgPMMpOqsXGqXf4Q8MZkIaQKCy9nn+zA111K0/r+EJw9hTPJNiH1iXWpqD1Jathk4HwCcn3sLQ4fGAgJOpxWAhIRYPv74Y0aPHu099+OPl5CcnILJZEIikSGRKBg6dAqnC91EzLfApktwUtD4NfrKk+Re/yxKbWBxZP5IcGXLARq2rCBx0R0BuW17eh/sLc3UbF/OqoPH26WE14ZAcRxAnpJIws+epnXNFkrf/DNRd90YsIZVoLhcJ8xgcSHuuz+ucTlmwtka66lY+iaq0flE3jr/O6d144HTYKT18xXk/uomxH1wzV1MSjgUcAiCcNpn2xGgWzZgqWoh66V52LIHhaQTgiCge/dz1BNHoxmS0/MJvYC9pRlbQz3aWefT+YK1ptgthm6rUXeFnjKgOqoc1xfsBJFA9OAxVNfsRX94L5Fjr2LQsz8JWjDPF462Vmq2L8d6toLoexahGnlOv0gQOPDib4ltc2fNJLQakDncKcSC04nu/WXYq+vJuOeZgPrT1QDnGUjF33xN9PTZKFoEqvavxuW0e8sRdPX9+Pv+LPp6Clf/E5fdQoRd247cAN5aUYLg/j+4Rfpa9SacThsAIpGE6up67r777nbn3n33XSxb9hXh4WrcFhwROl1Lp0wqu93EkdKlAOQteB5BcHWps2TW11G5dyWpExei0roDOjuSYMHl4mzRagwnj4VEfVpwOqkv2Ezr+m3Mzx/CNT6lzX58/+Kg2u4IkUSCduFslCNyaXrzE8xpBSTPujVk7+7lOGGGAh6NG6fN1i5rLpSkpD+e7cWqAt9XGE4XULNyCZGL5xE247v1jnWEdflnxM7MJTw/pU/nX0yCEwa0dtimBzqFSItEoseBxwEkajm2EGndABi378PR1ELqggdD1qYHhlPH0QzNb6c3Eqw1paloHzVHNpA6fkHABKmnjKmOKsc1R9xKpLXHt6IdM5FBT/2wRytJbyC4XDSc2Y5+xdeEzZhI9IO3Ila4LUKpdY188/M/IRHOz4BfThjFC0/e7VaWfmMJgtlCxh1PIVYElq3V1QAnjYxBJJMTN3chabGTsMcZECHyCt0BXl2Y+oKduM5ZWExN1bTVFLUTwjM2lHNm09uEJ2ahrzjRqbSA0dTA0eMfYTY3ANDYVIhMpqam9iDhEZORSNz33tTUws03L+b06VPk5+d7Y3AKCgpYtGghn3++nLi4WJxOK1+teJ22VrHXKhQdNYSjp5cQmT6c1PE3IBJLvDpLHnVibXo++vIC9FWnaKspAiB7jjtoz5cEO6wmTn/7IbhcZDz2vaCJgbmyjJp1nyKJjCD5x0+x8pfns6YMchlLZwaXqeYPisxUEn/1Avov1lLy+iskzr8tJMkDl9OEGer4E7FcTsPGVe1Uijuqtwdzzcvp2YYagtNJ7cE1GHcdJO7Z+1EMybzYXbqoUJzZTsOZekb+54E+t3ExCY4B6OgPigDaOh4oCMLrwOsAiszUwMpaBwBHg46WL9aRfv8ziPvBv2kqOUNc/Mh223wnkr5Yc3qrndObNrXp+VRV7wGJFEVcAomL7ggqcLcrmCvLqNn4OWKlgoQfP4Es+XxKaH5pJWt/+892x49/5Wc0RGtxWW00vvoBIrmMtMWP9+n78gy8YrmCxq3rGTr7UcJj3cU3fYXuEAntVZ7PET4PlNp4rxCeOjaNs1s/IC/rJrTadGpkaZ0KZRYVr8VsbkCljCYhYTRJiWO9QcZOp40D+2eROSiZm29ewOnTp8jJyWXZsq9ISkpk6dKl3HzzYk6dKuTWW29m+fJVnDp1mmPHtnoLa9rj1Rw69A5pk24iZvD5a2vT82mrLcZlt1NzeCNttcXoK0+SMHwmYonUW3/M9/7NzTWc/uZdwobmEzdnYVBlF1w2G7X7V2Pcc4ioOxagvmo07/7lTa9rSgCGvfrbPrcfCMRymbuO3Njh1L37Oc1nD5A0Y/EVFTvTHaEItcunKwtLxxTv76oLLxjYm3VUrf4QkUJG4q+eRxJx5byffYG9vonqVzeR//vbkCj6Hlh9MQnOaUAqEomyBUEoOrdtFNBtgHGoILhcNL2zlIj5M0NW/LEjLNUVaIYt8H7uSGh6q2QMvdev6Q6e/kSk5mKUGahe80/Ch41i8LM/QRYVHZJreOA0Gan9diWmwyeJuvV61JPHdApWbQlT4xKBWIDGMA2T/vRT7DIZLrOFhr+/iyQ2itTZd/V50vW6pRRK8uY/1y5t3wOZMqyzyrPd5rXgiKVyogePQV9egDwsirNbP2D40NuJjnITJU8auC+ys+ZTdO6vJ17GQ4KcThs/+OGTvP32O1gsZoYOHcrnn39OeLgas9lCTEwCX365mptvXoDFYsFkMvPF0lNkDZ5HQvwITuu201ZwgJz5T3UKZNeXF6CvPIk6NpXU8QvQpud7C2l2RairDUep2/A5cdctQjsquNRRU3kJNauXIM9IIel/XkQS7r7e9MKz3mMW/OLZkBXS7AnKnMEkvvw99F9uoOS//0fkLfOITZ982WZa+aI7QhFql09XFpaO1+ho0bnQuJyCwAVBoLFsNy2fryVi/kzC507/zsbbeCDY7bS+9R5pd08hLDu4ufmiERxBEIwikWgZ8D8ikehR3FlUi4ApF+L6hm/2ItjtxOf1T7S/y27HaWxDERbtJRJOh9Vb8ylxxNX9Yo3pDWqPbaHu+FZEh9cROW4ymU/9MORZJ4LLRWPpLlq+3IB6/EiSf/d9b/0oAG1rG0+t28YfbruB6tho/nHDNUhdTl65xZ2q7zSYaPjrW8gzU0mecWuff/yCIGBraUaiCSPn2se7JDcedFJ5Hntdu/1mfR260iNYWpsYk38vWm3nwq6+8TEadRyjR9yPzW6krGK7Nx4nKXEsdruJo8eP8fvf/z8+++xzNJowEhKScbkcXjXjuLh4li9fjclkYvkXJ6muMhEXk8fBwvcRicQMnfMYioj2Qbq+sVrxedO8hEY1orOImuByUnJmLa3HD5N67+Mok/ue7u+y26ndvxrTnkNE3XsT6rHDARC5XKz8n3/wwPMP8tHf3mbL8KEcH9T36/RFbl6skBN1xwI0k8age38ZRul+Eq+9BWVS3/z7lwq6IzH97fLpahwMRrQvFLhcLEj2Zh3Vmz7D2Wog/gePIU9L6vmkKxyCIGBZ9gnKlEgSbxrb8wk94GLnnT0NvA3UA03AUz2liIcCjmY9+uUbSL//mT5PmD39iFxmE2KlGpFY7I1xSRo1l9TxC7wTaKisMb1xdQmCgKHuLFVnt2EqL0U9OJv4+Yv7ZSAyV5ZRu+kLkEiI/97DyDPaTyQL9xziX298ggA8vGkXv7xzEX+9+TyZcOrbqP/LmyiHDSVp0qI+r7YFp5PalUuxNdYxYtGPkSrU3R7f0/dS8s0STI0VRESkdUlugHYuKIlETlLiWCqr9lBathmdrojmlmLvsWZzAzt3nuZf/9jJI49eR2Ki2BuX40FdrZX3391FaWkDJa7jVBxZgUwdjrm5huayo11mzgUSq2W3GCja8yGCy0XE6AlItX0v3mepqaR65YdIk+JJ/M2L7YhHwRM/Q+0SeOef73LzT57iUHZmn68D5+XmofcqrPKMFBJ+/gzG7fuoWPJf1GPySZhwA9Kw4EuL+ENXRCBUloauSMyFsmJ0NQ5e7CDsi339niA4HNSf2krr2q2Ez51OxHUzgxbvu1Ig2b8BY1EdI/52T0isqxeV4AiCoANuutDXbf54BWFXT2rnmurtgNDjj0gshnOBsj2VTQgWgQQuuxx2dGcPUlO8E8FuJ2rSDJJuuQ+xXN7l8cHAYTRQu2cl5qOFRN4yH83kMZ2I5JL/e40pp9zCfSLAIpWyYvKo820066n/8xuoJ4wiccz8Pr3sDqMB/cE9mMtKEAQXebOeQCILroxEW20xFn0jERFp5OXc4vc4XxeUh+jo9WUAhIUlER2d3S5WJylxLKWlDTz66EuMGnU1I0cMQRMmoazsONXVMlp0DuwOMydqVmPSVRMzZDz1Bd8EVGvMHwE2NJRxZvsHRIwYg1ipovHr1e2CRwOF4HJRd/xr2jZud8faTGrvflz623+idrl/C3Kni0NDuiaFvYFHfbWvKqwisZiwmVehHj8C/cpNlLz2R8JnTyU+75qAg9d7g66IQH9aGoJpuzdjYVfjYHdWowtBvPwRvpa9OxCAqInTLprrynimkNpNy5HGRJHw82eRxcdc1sUvQwnzkZO0fPYtI/52LxJVaOali23BueAwHyvEXllD6vz72m3v7YDQk+lXolLjslmwGpppLPoWjx59qET3fNGdq8uir6eifDutR/ahSssk7trrUWfl9IufV3A6qS/6htZVm9FMHtPJHQVuV8Wpp36BwnFeb+ZwRjKLfvWC97OjqZn6P71B2PSJJIyY0+f+6A/spnHzWuTxSQyf97122Wx9QWv1Gc5seov8obcQHze8y2N8XVMZadOx2Y1IJHKcThvNLcWoVHEkJ41vp13jOc63WGaLzuEtkpk1eB4R4SmcOLMMbVoe+QtfxOmwIldHBFRrzBPr5cn8kio0VNTvomnrBhJuvJ3w3OE4jAZEIlGvV732Zh1Vaz4EsZjEXz6HNKa9BSi/pJyJpZXez08+dkev2veHUKmwijVqou5cSNg1U9AvX0/xlt8TMX8WcVnTEIdQNbYrItCfloYLVfqgty6wi+U+8pSPAPpE4oOFta6a2h0rcdQ1EnnHAlSj8ryLgGCskVcKrGcraH7vM/L+ZzHKxNBl7H6nCI5gd9C8ZCUJcxZ3GrxCNdj4rlDkcUkUb3kPU2MFAJJz4nihLqXQ0aXitFtpLj1KXflebE0NyGPjEex2NFk5aLLzummp7zAWn6Zu0zIkkRGdsqN8seeH/9uO3Nzx/UfYkz/U+9nR0ETdn94gfPZUEnIDH4Q6rgydFjOGUydQJKeSO/3RoMmNtU3Hmc1v43LYMFua/R7ncUM5nTYGZ17rrRZuNDVQV38Ms7mBxqbCdgQH3C4tT8kFj2UnNiaX5uZidK4aSgq2kDnlNqIHu9U8xVJZrwqvejKoGgp302avw9ZQR/ojz3kVoPuy6m6s2kvzJyuJmOc/OHL17/7t/b9BLmfdpOD96v0BWXwMsU/cja28Gv2XGzi7bhsR82cRO2hKr6yc/p5Vl1IF/Rgf05+lD4LBxXIfeTR8hAt8bZuukbp967CcOE3E9VcT/uz9nRSJg7VGXu6wV9ehe/Udhnx/HuF5ySFt+ztFcNo270KaEEtYF5N8qAYb3xWKVKvFWHic8ORswuIGtbOwBBJY7M/a09V2l8tJW/Vp6uoOYTh1AlXGYKImzSBsaD5Oq8U76IYatqYGard/hb2qlsjbF6Aak9+tO+mlh27j47++hQCM/cvP0WnPKwXY6xqp/9PrRFx/NfFDeqd15Pvcw3JHUPHeq6gH55A9+jZEouCsVQ6bmaKv3yRxxDXIm6w4nTZsdmO70gg9obGpELO5oR2B8UVsTC7NLSVkZ833tltZtRtdcxFSSwQuuxWbsaVP/Zcpw8icfic1RzbRULof9aAs0h993qtG3RM6rrqdFjPVWz/HVlZJ/IuPdIqt8mDtL/+M75Mf8a+X+9T/Cwl5ejJxzz+IrawK/cpNFK/eTPi1U4nLnhaQHtDlEuDaHS5V4hXsdWOvnnfBrmfTNVJ/cAPmwwWEXTOF5N//ELFK2eWxl0tNqP6Avb6Jpr+/QcZjs4ieNCTk7X9nCI7TYKR1zVbSH3i2X6/ju0IJHz6W0vISVCOHk5I0rdfuKX+xNZ7tgsuJKjqZhqZjGE6dQBYdS8TwMcTNvbFdwKRUGvpBxWkxU3d4A8Yd+wifO4PYJ+/uuhCcIHD0uZdp1qiY+cefsHP4UB565gE2j8lrlyJsr22g/k9voF14LXGDp/W6P57nHpYznPJ3/42zrZVwaVzQ5EZwuSjZ9hHhiVnkhk+jrMXtNvKUW+iI1JRJ3v8bTQ3ebCkPqfGtGeXrzmpsKkSnO0URkJU5mxPlKzHpqlBGJZIx5VaMdaU9aif52ycIArXGEzSVHuhTCrjvO22uKKXqqw9RDcsm8ZfPewUaOz84gbzqeu/Hpx+5HVcQmjoXGvKMFOKevR9bVS1t677h7Prfo540mrj8mchj4/2e1x+W4Es91XkA52GpqaLh8CYsJ04TdvVkkv7fD5GEdZ/U4MF3LRbH0aBD97fXSL17EvGz+0dS4DtDcFrXbEU9bnhQ2UKBDDodVyjpDz5Dxfv/QZjiRN7kpOrAaqA9Yek4MXk+a9PzgfPWHkEQsOjrEVwuZLHxVB/bhDIplbC8EWTMnIsssmftmmAHTsHppKF0F/qvNqIakUvSb1701o7qiCGVNWz89d8QAxFmC398eyk/fvg2No/Nb3ecvaae+j+/gfamucRl9E0lQKoJI2L0RCrff43wvBFoXJHEZgdvsao8sApTcy2R4gRsdmM7otIV5DINEomc4rPraG2r8sbUZKRN70SIPJlWnvaaW0rQ6U7RrC9GcLpLU1iaazHWlXaKp4HOLs6uCLG1rYnTO97DZbeT9uAzfdJ8kmrCiJo8i7qjG2jbvIvo+xajHtvNgCQI3Ld5F0aFHI3VxubhQ1k9ZVyvr3spQJ6SSOTtNyCJ0uKyWSl775/IM1KIGTEdTXZeJ7dcsBYKz+/TZbN5Y0Z827sciM/l0MdQQnC5MBadpPHwNhy19YTPnkb0fTcjVilxthlpXbctINLStnkXrSu+xmW1Ebmo77GHlwPsdY00/e2/pNx+FYkLel9EM1B8JwiOs6UV4/Z9DHryR0G10xfzsyI+kfRHnqf2yyU4DAYi04cTkdreRdZxYqo9uoW6E1uxtjURmTGCqoa9WKrKMZeXIpJKUQ8aQuzMuWiycvyazf0NMsGY0I1nCqnb/BXicE2Xad++eGDjDv7nk5Xttv1x8XWdjrPX1LstN4vnEZc+qdP+QOE0Gal8/zU02bkMGnJ9SFIMm0uPUF+wA8HlpMy4FalU2Y6oGE0NFBWvJTN9Frpmt1alp1I4nKs/da7Sd1fwuKViY3IRXE6cYTIkBhWp4xdgM7XgctgQSxRdujZ7ypwCMDZWcurr13GZjcReM78TuQl0IrLrm6lafS6Q+FfPI43qPgjwxJM/I8zh4nRiHE8/cx9FfuKxLhcYd+6ndfVmIm+7npRXforx2yM0bN1A7frP0UybQOzgSQEtLgKB5/cZPXMucXMWdLIEhcoF1p8k5Epw0wUCh9FAU+ke2rbsQRKmJvzaqagnjmwXY+MJIHZZbYgV8u+MdaY72Cpr0f3zDdLunUrC9aN6PiEIfCcITuu6bajGj6D12IGgftB9NT/Lo2JIe/AZTMWn0R/6lsJ1/0KsUCKLjMZltSCNiUWZkk6zsZzm7W9gKnOrvTYUfUubsQaRWETEiLHEX7co4IHU3yDTl3uw1FZTt/0rHI3NRN56fZdxNl7z6pRx7PntP0jV6b37arThTPvjT3DI2r9uISM3ZhMV77+GZkhOr8mNr7VMX17gtaI5rGbObv8UweVEG5FJVNTgLksw6HSnMJt13jpTTqcNo6mB7Kz5yGTnTdMed5RH5C82Jtd7foFCwFhfQnTWOBKGzyIyY7hfF2Z3Gj2efYIgUFb9DbrtXxN37fW4rOYuv+9AJqK2gqPUrvuc8NnTiJg/s8fsu/998xPCHC4AsmsbOJMYWDXzSxm+QaAimYywaeMJmzYeW3k1hu17KX3zL8jSkonKmUB43gjEiq5jLQKB7++zq3EqVC6w/iQhl7oOTTAQXC5MZ0+jO7UH8/HTqMcMI/aJu1AMTu/yeM+747LaesyUCr9mipcEXamwFpWie+09Mp+6hrir83s+IUhc8QTHaTBi3HmAyHFTg/5BB2N+FolEaIbkoBmSg+ByYW9uQrdjE/pDe5FFRqMdMxGRTI5EpSZi7CT0+3cRP/9mjKdP0LBxFWE5w3q1SvQ3yPTmHuz6Fur2rsF8rBDtgmsImznJryCVZ6UyqKa+HblZOzqPJ597sHPbtQ1ut1QfyI3v6lMkkVL5wX9RZw5hUPYNvbbceKxnniwjcFvRKvevQhURh0lXSVTUYAZnXtvpXE8JBl8Ljl5fRnNLMaddDkRiqddFBVB8dt15N9S5v2KpHGtbIy6nHWtbE42n9yA4nZ3UkwOF3dzGmQOf4jQZSX/0e8ijY/we291E5LLZqNm5DEvBGeKee8DvAO6L8DYDd+8+5P18/3P3I1wBsvP+gkDl6clE33MTUbffgOlwAS27D1G3fhmq4TlEDh6HZkhur1PNfX+fXVlZQhWk258k5EormCkIAta6anSl+zF9ewhJRDiaaROIvn9xJxmMjvC8O842Y4/k5UoPNjYdPE7Lh5+T/eMFRI0fdEGuecUTHMPWb1GNGUbUpBlIlMp+D/4LxPQrEouRx8QRO3sB8tj4Lo+NyHcX6fS4oHrb72AGGafZTP2xjRi27SVs5kSS/98Pevwhe3649VPHs7+6nrFny5n5+x9SnhDb6Vh3ttS5mJs+WG48q0/B6cR45hTK5DQG5y7sRG4CCer2uHM0CZmAu0ClsbECfUUB40c8Rn3jiS5dTDa7kcamQrKz5tPYVEhqyiTkMo3XbaVURFJd8y1RkVntzo+NyaVaHYfOXo1EoSZtwiK0qbk0ndmH3dLmrvIt6ls9WX1lIWd3f0r4sFGo0gf3KFjn7x2x1FZR9dUHyDNSSPz1C36zPzri6PfOF84UgG9GX5xaRBcaIpkMzYRRaCaMwtlmxHTgGE17t1GzYgmqETlEZoxyk51eWnb608pypZGQUEMQBGz1NegqD2HafxTB5kBz1SjiXnwEeUrv49iudPLSHQRBQLx3Ha1f7Cf//91G2ND+qf3YFa5ogiM4nRi27ib1jsf6JQ28q/aa9+5At20DTpuNuB7SEgPVHuluRRdKuOx2Goq+oXXtVlSj8kh8+QVEMhmGb/Z26zte+T//YFBtA1+PyuOtoYO45efP+L2Go0F3PluqjwHFEaMnugP7ik8hi4wma/jNXVpuAlF49qC16hT6ypOEJ2bRWn2a5NFzUcmju8yUgvMBwh5LDLgDiT11p86WbgJAq83wZk0lxI/ktG4bLQ3HSRx1LfHXPeHV5/FUMpcpw3stISCRKjh7ejWGk8dIvuUeLNUVNGxchUgs6tU7LwgCDUXb0K/YROQdNxDWi8Dgr84Fk3uQ8+/fBHzulQRJuIbwWZMInzUJp74N06ET6A7toWbFJyiyM4lIG4YmO79by5oHV7Krp78QzBgpOJ2YK0ppqT6K+XABgsOJetxwYh66Dfng9CuiMOuFhmB3YF3+CYaiOkb8/V4U8V0npPQXrmiCYz5aiCQmCmVi6Irp9TToiDr87St6I+0eisyoxopv0a/YiDw9hfgfPu5dpbSu2+bXdyyz2jj53K+ROd0xFzfvPcK6scM45sed4Whqpu5Pr7uVYvuQCu6BRKXGWluNRKkie8ztflPBten5tNUWe7PRukLHOmGKiFgMhzcSJU3CmHA+zbuj5k1PgcQJ8SNpbasiIX4kNpuBotadNJ7ZT9zQqxh+y0+6rIfVm9pknn7bTHpaGopQxCWQ+eT3kag1yOPdRft6MzE6jAaq1n+Mq81Aws+fQRbf8wTshcvFqMoa78fHnrobq7LvcShXCiTacC/ZcZktWE6cxni0kMZ3NyJWKVEOyyYiPg91RhYSVWcL6YCVpffordXLrm/BVHyK1uoCLAVnkMRGoRqVR+yT9yBLTx4gNUHA0ayn9c13kMeGM+Kvd4es/EJvcEUTHOPOA0TlXxXSNnsadCInTkMslwe96uqNtHtfTdmCy0VbwVEadqxFog0n9ol7UHSoE+RPZfO6/cf4738+bEfkFv7saY5mdV1nyNHcSv2f3iD82qnEZ/dOxK9dnwWB+rXLcRjbyJv+GCKxf20VfXmB1yrTVRVtOE+CorNGo9ImULjm37gcVsrKt9FmqG1nnfGFR6EYQCZTe/VsPETIo2tzXGrD0lJLTNY4ht30Q+Rq9wrG1wID9Lp8R0zWeHQtZ2gsOUD8vJuIGDnOOxj3dmI0njlFzaolaCaPRXvTnE5Kqz3h1u37vP9vVSrYML5/MyMuR4hVStTjR6IeP9Idg1dRg6WgCN3R7dQs/xBZUjyKnMFERA1BlT4oIFHBAXRGTwtQR1srprJi2hqLsJw8g8toQpk3BOXwHCLvvBFp1IW1MFypsJw8Q/PbH5O0aCwpd0xCJL44RPGKJTgukxlL4RlSrrv7gl43VKuu3ki799aULQgCxtMF1O9Yg0giIequG1EOy+5ytdKV7/ifr33IjfuOeT+bZTImvvJTWv24sJxtBur//AaaaeNJyAvu2ei2f425vIS82U8jlp4P4PTNhtKdPQSCiOis0UD3qtEdSZDTbiExYSxKZSQJ8SO7TfP2wLc8Q2rKJDc5krQikkhRRSaSNes+5Jr2qdW+7jNwl+9wOqxIpIoeiY6ltZHivZ+AWEzmEy91Cj4P1KLncjio3bsS074jxDx6B8q83iuJrv71XxlaXcer82dSFhvNpzMG3Ck9QSQWI89IQZ6RQsT8WW4z/tlyrKfP0nR0O9YvP0ISFYFicAZhUYNQpqSjiE9EdBkJJV4s+I6RgtOJtb4Gc2UZxuYSrGfKcBlMKLIzUeQMJnbGRGRpSf1Sl++7CsHlgu2raF51mOwf3UDk2MyL2p8rluCYj51CMWQQEmX3wbFXAgIlVYIgYDxTSMOutQh2J9pFc3osrdAREQYjN+w/joDbDXciNZHrf/Oi3+NdJjP1f34L9djhJI7sW2aQB/oj+2k5sIf8ec8huJzUHtviJQNdZUNJZPIuXT6+1hNNQiZKbbw3yNhubiNr6H0oFO6VXMeaUd3BaKxn37HXsbY1EpGcw7BF36el/AQiiaRTwHNXejZOu63bmCFBEKhs2EPjlrVET7uWqEkzuhycA7HoWRvqqFr5AdKYKBJf/h6SsN5bDO5b/w3DK2sBeHLtNga/+Yd26tQDCAwimRRlzmCUOYMB98Rsr6rDWlyG4exZmg5sw9nUjCwlAXl6CpqwNBQJScjjk5AMuAIBd9afraEOS20VRkMFtrIq7FW1SGMikQ9KRzEkk/DrZiJLjh8gNP0Eh64FwwcfgghG/ft+5DHhPZ/Uz7hiCY7l+Gki0r4bWRw9wUtsdq9DsFjR3jgH1bjhvfqhDyupYP6B4/zp1vkMfvMP3LN5N+WxUWwfmev3HJfVRv3f3kYxdBCJ428I6h5MJWdo2LCC3LlPIVdrvYq+TrsNiUyONj0fp8OKy2FDGRnfSSDPF77Wk7baYiz6eqoPrkebkoNUrsZibfESnI7wLa8gk6ppM1RjVFoQSxWYRK0kDJ+J02omNueqLq00noreHpLjIT2eIGOJTN5lv62GZooPfIbLYibtoWe7VeTuzqInCAINZ3egX74B7c1zCZt5VZ/iDNQmM7/7bLX389cjcwfITYggkkiQpycjT0+GqycD4DJbsVVUYy+vxlBRSvOJPdir6xCHqZElJyBLiketSEQWHYc8JhZpuPaym8h7sjwKgoDTZMSua8TW1IDJVoO9uh57dR3OZj3ShDjk6UnI0pJRTxiJPD0Fsar7TMLu8F0rnRAMlGd2UPKfTSTdPI6U269CJLk03r0rl+CcOkvcnbP7pe3LRYrc44pq2LMewWonYuG1qMeP6PXA99v3l3H/tm8RgFVDB7G3uo73e/jRC3YHjf96H1liPMlTu85yChS2xnqqP3+frGn3oop0Bz/HZE/AabdhaCihrdqtQSORKqg5vJHU8Qv8Wm7qT+7AYTYSnpyNNj0fTUIm1rYmlNo4KvevQpuWT2HlWkZn3dUlyamq+paSsk3UGk5hN+kRiUREDxpD/o3fQ6mN91pqPH30/euxLjUV7SNxxNXtCJAv2elYR6qy6VsaN60hatJMoqde3aOrwp9Fz2E0UL3xExy6FhJ+8iSyJP81lXrC8edePt9H4PEXHupzWwPoGWKVAuXQQSiHntcPEVwuHA067DX1OGrqMdSW4jh1AHt9I4LJjCQmCmlsFNKYSCTRUaiEaKQRWqRhEUjDIxArVZdUEK3+wG4aN6/F3tKMOjMLu74Fi6DD0dSMo6EZR6MOAFlCLNKEWGRJcWgmjUGWkoA0PtavRldf4dH2Av/ifN91ONuMWJZ/RsPZevJ+dwthQ5Mudpfa4YokOM5WAy6zpduieMHgUpci9wQPN367EQDtgmtQje2dxcbdkMCxZ39NhMUKuF1SMV9tpKW0EvD/oxdcLhrfWIJIpSDlmjuCWkk6zWYql7xF7DXziYjN9m6XKcOQyOS0VRehTc0LqFJ7U9E+ag5v9H7WlxcAYNHXo03NR5uaR+r4G9CdPcyeg39HFZWEPCwaBAGHxYCltRG72YAiPIbwpCyiM0ehikpqN0l0TE33JVqZ0+9sF1js+7frOlI6ig8uxWk2kfbA0ygS2g8evSHaxqKT1Kz+FPWkMcQ+dU+vA4l98drf3sF3Ksm7DKqEX4kQicXIEmKRJcTC6PaZgi6rDUejDmdjM46mFpy6FlqbC3Ge1ONsacXZ2oZgdyAJ0yAO1yDWqJGEqRGpVYjVKuRWFRKFEpFcjlgmRySVIZJKEUmkiCQS929aLEZ0Ls1AQABBAJcLweVEcDoRHA4Ehx2X3Y7LZsNls2JTmHCZLbhMZlxGMy6jEZfBhLPVgGC3I1IpMdaXYHXqkURpkUZrUWRlIImLRhobHXDhylDAX4LFANwLL/P+Y+g/+5LYWXkM+cF8JIreiVpeCFyRBMdeXYc8JaHfVieXqj6Fy+GgqfJbWtduQ6xRo71pLqpReX16DqOLylj+h1fbaZv88s6FfDNpDJHnzLZdQRAEdO8vQzBbSFv8eFCBkYLLRc0XH6DJyiEttrMgoC9B8Fg9/FlCPPucDisOsxFLWwPa9HykCrcVyumweoONU8bOI3H4LIyN5dhMrQBIFRqUEbEowmO6JWwdyUvH2BuPK6rq4HoQCcTnTesUkyO4XFTU76Jp6waipswiesqsLp9jIETbZbdRs2cF5kMniHnsTpS5WX77HhAEgXnHCr0fN4zIwdxFivMALi7ECrlb6qEbUTrBbncvBg0mnAajm3CYzAgmC3aJBaulFcFgQ7DaEOwOBLsdweEmLzhdbjJzri0RgFgEIrH7XZVK3IRILkUkkyFWyBEpFYhlCqThMYg1biIlCVMjDtMgiQhDpFJeUhal76o4X0+uOYeuBfOypViqmsn91U2E54dOhiXUuCgERyQSPQs8CIwAlgiC8GAo23c06JDGhab4XVe41PQpnBYLjcU7aPt6B7LkBKLvX4wiZ3CfB4uhlbV89YdXvZ9dwMRXfkZDtBYJ3Ztr9cvWY6+sIePOpxEHYSUAaNyyDsHhICvvxi5VibvSjelO3E+mDCNlzDxqj22h4dQu9OUFXiuL3WLwZjD5Xisieaj3fLvFQN2Jbd1mOXXsU1f9aSraR80Rd6VoiVRB4oirveeZW2o5tf0dRGIR6Y88160VsieibamppGrFh8hTE0l6+XuINcGvfn//3hdeaQCjXMZj33s46DYHcHEgksmQxkRBTNQFv7ZnElUMxLdccvDnmhMcTiQHNlL/yR6SFo0l5+c3IpZf2jaSi9W7auB3wHVAyJd/LqMJcRdZIZdi7EwwfbLrm2k4sRXjzgMohw8l7rkHu63wHShsYhGV0VpSdXqqoiKY8qefB3Re29c7MR08TsZ9zwVVcNBhNNCwYSXG4lMMX/ASIrEkYFVif9W2zfo6KveuJHXiwnbH+JIZT7ueAOaO1+quD/7KQnQlNuiJH0IkePvicjooK9tEy76dxMyaR+T4yT269qSaMCJGT+z0/gguF3UnvqZtw3ai7lyI+qrRIVkZv/en15E4BX5x10KuOl3Cs4/fhbOlFXtDE642E7hciJQKd9xHXPRAWvMAOsFDbFxWG60rvgYG4lsuJAIJnO7KNWcpLKbts2XIY8IY8bd7UKX2nwEhlLgoBEcQhGUAIpFoPJAa8vbtDkSyzrd2KcbO9LZPgiBgqSyj8dg2LCeK0EwZS+KvnkcaG9wqbEhVLcv+9z+88OjtbBk9jIdeeJgb9h3hrzdfF9CPwrjvCK3rtpJx//NBk8fm3dtoPbKPuNypyFTuVEN/xKUj/KkBV+5d6U0fz57zaLdkxt+1PC4up912rqzC+fv0R366EhuUKcPaFdNsqy2mZO/n7qKr4yYTPmwUTrMpIOLb8f2x6ZqoXvMRSMQk/vI59wo9BHhs1SZmnSwGYPLpsyRdnYf+p79HcLhQpUYh1aoRiUU4TTZaa/XYW4yE56UQPSkLW9YkJJEDAmrfJfgbMzzWgYgbZxN52/UD8S0XGIEETvu65hwNTVhWfYmxqJbMx68metrQS8qN2BMubftSHyGSy3AZTZ22X4qxM4H2yeVw0HbiMLrD23G2GQm/doq7mm2AhRC7w8079vO3d5YC8O//LiH/P7/jdGoip1Pd/vuefhSWU2dp/ugr0u55EllUcMzeXUCzEE12Pslj5nq3B1LGoLvimqkTF7b760FXZMbftWTKMCRSBZX7V3XS2PFXFqI7Yma3GCg5uQrT2SLi59+EXddIw8ZVXm2TQIjv+fdnAg1nd9CybD0R188ifM60kKQJO9uMGLfv5YnlG7zbXkkKRzsqnfQHp6NI1HY54DnaLOiPlKPbVYTu/T8RMSwF6aSZKIcPvezSl/uC73qKsb8xw9c68F18LhcbgQZOOw0mhO1rqF9/jORbJpD94xsuySDinnBZEByRSPQ48DiAJCayx+MlkRFYi8s7bb/UYmeg5z7Zm3U0Fu3EsGMf8tREIhZcg2pkbsgmiZ0//D2pOr33s0Xe+SXu7kdhr66j8bWPSL75vpDU/Grcuh5pWDi5Ux/yW2PKHzpaUXwJj0qbQPacRzud05v6T+CfsOjOHkJfeRJ1bCopY84XWe2qfUFwUdm0j8bNa4gYMZZBz/wIsUKJw2gAui7P4Q9STRgRI8dTtW4JTn0r8T96vE/VjruCIAi0fL4G4479vAv8EHdK+Kr3nsK/Cs+5foUriZk2lJhpQ3GabTRuK6R2xRraPv+S5MXjseXNQKy48LVpLhS+6ynG/saM72rg7qWCnp6/y2pDfOBr6j7fS8zUoYx+42Hk0ZdGOEdfEHKCIxKJtgL+nuBOQRB6XWVREITXgdcBFJmpQg+HI0tNxP7lhp4Ou2QhOJ0YTp9AV7AbW0kFmsljSfjxk8gSA1fV7QmxzXp2//iPyJ1O77avR+TyyPc665n4+1E4W1qp//s7RN12A5q0oZ329xbmilL0B791x930ktxAZ/LRnc5Md9YeX3Q8zi8hEkTt//qBsbGSkoNfgEhE6r1PoEw6Two7kt2eyLggCDTV7Kf5k5WEzbwK7YL7Q6YFYikowrRqNe8U11AKeN6K+/9zf6/bkqjkJMwbSfx1I2g7XknV5/toe38nSTeOwTXu2ityJf9dTzEeIDKXFwS7A+nxLdQu2UNYXjLD/3w36vReFNy9RBFygiMIwqxQt9lbyJLiEaw2rA113Sq+9gb+goFDGbhsra+l6ey3GHcdQJYQi2bGRGKfvg9xF1aVYKC0WNn/g9+3K5Q57xfPcnJQWsBtuKw2Gv75HmFTxxObFlhBU4fRQPPeHYhwFyX1fV4uu42aL5eQOXExMnXf4jU6ko/udGbqC3ZSc2QDTruNlLHX+SU8gQY3x+dP9atCDOCwGCkpWofh5DFir52PdvTEoKxwDqOB6s1LsVfXEff8gyh68d11B1tlDZYVX2KpaSH9genc+r8rve/Jupm5nM3qu3VIJBIRMSKNiBFpmMqbqP5iH7pf/h+xV+chnjIHadzlP6B6MDDBD+BygGB3IDuxlcpP9qAeFEfubxYTNjQ0FuBLARcrTVx67toSQCISiZSAQxAER0jaF4tRTx5LY+EOUuJuCUWTfoOBgw1cdhja0FUfwLjrIM6WVtSTxoTcWtMOgoBLLOJn9yzinm/2kdqkY/Iff4JJHXgym+By0fTmJ8iS40kYPa/nE86h9fBedNvcljWxXN7ueTVt3YAyMYWozJGB38s5+Bba1JcXdGlt6eRaEgnt/vojMsEGNwsuJxUN39K0dT3hw0Yx6NkfI1EFl67dVnCU2vVfoJk0htjH7kAkC54AO9uMOL5egW7HaVLvnkzCgtEs3HDcS24cEhG//fmNQV/HA3V6DENenIft/mnUfHmAut//E+2odKTTru1U0X4AAxhAaOGy2pAe2Uz1F/tQD44n5xeLCM9LvtjdCjlEgtCjxyf0FxWJXgZ+3WHzbwRBeLmncxWZqULir57v8RrOllZqfv1X0h94LiRWnFBacJxmE4bC47QUH8RaXI5qVB6ayWNQ5me3W9WHMlAxzGhiz4/+gMpmY+hr/w+nRAIOB5zTqunNtVq+WIu1qIz0O57qldaNPwuOta6GivdeZfjCH/TJeuPJhNKm5qGvPNmuVIM/y0zH7R1Jkm9V8vj8qd26sfyhtbqI0kNfIVGpiZ9/M8rE4AYQh9FAzbYvsJVVEfPwbSiGZAbVHrjJquzYFsrf20HsrFzS7puKLELFT/60muSaFgSxmLFHK5i77HnMmv4r7Og026hfd4zq5fuRRapRzJiFetzwoBSXBzCAAbSHs82AaP8malceJmJEKql3TSIs+/K32Oya+38HBEHo5A++KAQnGARKcADatu7BsHk3Gfc9d9GrijvaWjGcOoG+9AjW4jKUeUNQTxiFalSe32DL1nXbaFm6hsjbrg/K3D3+VDFf/N/r3s97hmRyx0+f6tO1jLsOol+xkYwHvxcSLSFBEKh471XC80eRnjA14NgYX/iz4MB58uOvPlXHdkq3f4K+8qSXLAEBnesLi76B0hOrsNZVEzdnIWH5I4NOrWwrOELt+mVoJo5Ce/N1IQnQtZVVYfh0KSKpmMHPzUEz2C0qeMPqw/zs7xsQgCN5Sbzwyl04LpCgl+B0odtTTM2X+7FUNpNwwyhco2YNpJkPYABBwF5dh2vPJhq3FRIzPYeUWyegSrtyXML+CM4VvTwKm3kV9up6ypa8StriR5BpIy/YtQWXC0tNJfr6E5iPFmKva0Q1LBvN1PHEPnlvQFVuQxGo+MGf32BGwRnvZ4tUwpPP3Nuna1nPltP82SrS73umz+Smo8XLUHgch6ENWZ0Fu9YQcMyLL3zdQx6tGQ88riVtej61x7Z0G2TcVLTPS25SJy5EHZsKgqhH95T33ixGys5uRH/kAMrUdNIeejbod85haKN6y+fYq2qJe/rekFhtXBYrzs0raNpUQPrDM4ifOwKR2BMkLfDTv7vdiCJg5fxRF4zcAIgkYmKmZhMzNRtjSQO1Kw7S+Os/ETkmE8nEGShyB38n0swHMIBgIbhcWI6dwr5rG8YzdSQsGM2Ytx5FHnXlBfX7w2VvwenJtSIIAq1rt9K2cQeRN80lNmNyvyisCi4XtoZaTGVnaas7jbXwLBJtGMrhOahG5KIYmnlhze2CwLHnfk2E2erdVBIXzaw//LhPzTlbWqn93T9JvO5WwnKH97lbup2badi4irg5C4iaPIvSV18hPDKDpjN7SR2/oNtaUsGgoyXH8zlp1Nx2wcGBXtuXIEmkCsprdtC8awvh+aMQqzXovtlI3JwFfZYlEASBpup9NH+6Cs2UcWgXzQlJsLn5WCGtS74gYkQamY9fjSyyfTzQlnmvIHe5xwQBmLbhR0FfM1g4jFYaNp2gbvURXFY78fNG4hw2fcCq0w/4ruv3XAlwthmQHv+G2lWHkYYrSVo0jthZuZd8WYVgcMVacHrSmxCJRGivvxrVsKE0f7Ya/eothE0fT1TKWOSx8X1yHQguF/bmJqx11RiM5dhKKrGWVCAJ16AYOgj16GFE3XUj0iht0PcXDMJ8yM1Tj9/FmqtG96kdweGg4T8fEjbzqqDIDbQXNmw7cQSxUkXq+BtQRca3K0jZV/hzcXVVwRvcRTb9Vf/uDh5Lk95UgbmyDGVyKmkPPYsiLgGH0YBEoeizoKRd30z110txNrcQ98JDKDKDF/t2thmxrvictoIqsr43j8hxmZ2O+dErK73kBuChf9wX9HVDAalGQdKNY0lcOAZDYQ11a4/Q9JlbPFAydjKqUfldKpcPoPf4ruv3XK4QXC6shcU49++gZX8J0VOyGfqzGwnLSbyslIdDjSvegtMR1tJKjDv3Yz58EsHpRJ6ZiiwxDpUoGolag1iuALEYXC5cDjsuiwWnyYiFZpxNLTgadDgamhBHhCNPTUSWnow8MxXF4HQkERdfEOnRtdtYMnMiRrWKn3y2mnu37WH+r75HRULf/a26D7/E2awn7caHQ+YeEASBsv/+hbTh84hMy++0318QcE/WFV9LTSDWoL7E/AiCi6ai/VQcWoUsKpb4eYtQpWUGdG637bpcNBRvR//V14TPnkLE/FlBW/0EQUBVvJOS1zYTe00e6fdPQ6LqHL8jcgnsmPeK9/Omqdn86tc3B3Xt/oTTbKNp+2nqNx7HdLaemBk5CCMmo8jKGHBhBYEBC87lBUdDE+LjO2jYeAKJRkHC/JHEXZOPNLz/EgIuRXwng4y7gyAIOJuasZVVY69rwNmsx2Uw4bLawOkEiQSxTIpIpUQSpkGsDUcaE4k0LhppfKw3yPNSGhD2vfhb4lsNbBo+lN/cdSNlIUg1N+4+iH7lJjIfejGkgdqmsrPUrviU/DnP0HRmfyeC4ZsZlTn9Tq/FpKeAX1/CEug5PbXj6ZcgCOgrT1JxYj0AcdfMRz0kNyQrJGt9LdUbPgUg5oFbkCWHIPOvWY/580+x1OgZ8tK8btNAv/+39SxecwRwV4+ffgm4pgKFtb6Vhk0FNGwuwGm2ETsrF1fuJGTpyd/p1esArkw4DSbMB47hOLgXU0UTsbPyiJ87/IrIhuorrlgXVV8hEomQxkYjjQ2udtKlYNJNrm9i50//D8+69drjp3k5BO3aq+to/mQVafc+FfIstNbDe4kcexVNZ/b71Z9pqy1GX3nSSzQ827tDt9o3fuAv4NjTr4Ths2itKqSiYAMuu43YWfMIyxvRafLsi5SAy26n7ugGDFv2oL1pDmEzrwraAiEIAvKCrVS/9Q2JC0eT84tF3frfs0/VENfURptGQZjRyoJPnw7q+hcaivgIUu+aRMqdV2EqaaBxy0ma33gfkQhiZuTiHDpxgOwM4LKGy2zFfKQA17F9tB6tIHLcIJJvnUDkhMGIZaGPKb1S8J0lOKHCxZZkf2ztFn7x+TrvZxcw/1fPUR6k9cZltdH4nw+JvG1+0PotHSE4nbQVHmf4wu8jinW/gh1JiEwZ5rXc9DU2J9BzusrcismegICATBXOiQ1/x2W3EzNzLuH5I/0SkN6KQZpKiqhZtxRZSgKJL78QkpgtR2Mzps8+wa43M+wPt6PJiu/2+KTKJt597gNMSilbpgzlvXsmo4+6+K7WvkAkEqEZHI9mcDzpD8/AWFRH0/ZTtLz5PoLTRfSUbJzZ41EMyeiXRIMBDCCUcJnMmI8WIhQcQH+ojPBhqcTOyiX7xwuQanrOwh3AAMEJGhdTkv2DP7/JjIIi7+cmjYqxf/81hGCl2rxkBbKMVGLTJwfdVkdYqsqRaaOQayKBzungvhaVYAKOA0VHS4/gctJafZqG8oOIxGJips92W2x6sKz4qwzfcbvDaKB255dYCouJunsR6jHDgr4HweVCdnQz1e/vIHnxeJJvm4i4h7pUYoeTpQ+/BYDa4qAmSUvVFaKNIRKJCBuaSNjQRNIfnoGppAHdriJaly1HV99G1IRBuLJHoxo2FHEvVLwHMID+hKNZj/nISYSTh2krqCJiRBox04cy5KX537m4mlBggOBcxlgybYKX4Lw2Zzr/e+eCkLRr3HcE66mzDHrk+/1i1jdXlfsNyvUV24PAtXC6aifQ4GGPpcdpt1Jet5PmXVuRRmiJm30Dmuy8gJ9Bj9XqBYGGkp20LF+PZtIYkn77fcTK4FdijoYmDEuW4LI6GP6nu1BnxAZ03prF//CWYhCAdx6YHnRfLkX4WnbS7p2Ktb6V5m+L0e3ZQ/V7SwkbkkDkhMHYUkcjS0saCFIewAWD4HJhK61EVnqQ5m+Lsda1Ejl+ENHXjSDnFzciUQ9YaoLBAMG5zHD14RPEtBn5fPpE1lw1ihUHj/H3G67hTHpo3EgOXQvNH31F6p2PIVb0z4rB1lhPGFHthPc88BXbC1RgDzoTmt4IBtqMeiprdqE/sBtV+iCSFt+DKn1Q326uC3hcVLoDO5BEhhP/4iPIQ/B9CS4XkoMbqf9oNyl3XEXy4vGIJIFNznPWHyHcYvd+vue/Dwbdn8sFivgIEheOIXHhGJwWO61Hy2neV0LL+g9wGq1ox2TgyhyOMi8LaUzUxe7uAK4wOJr1WArOID57lJaDZciiNERNHEzmk9cQMSw14N/wAHrGAMG5jLDpZ68wpK4RF/C7j75i1D9f5rmnOqsS9xWCy0XT20sJnz0NVUp6yNrtCJfZhNlicdd6wn9xy96kh3ckND0FGAuCgKG+lOrynRjPFBIxchzpjzyPPCa0RU6dFjMmaz0ihZzw2VMJnzMtJBYCe20Dho+XgEjEiL/dgyo18GB5lcHMy39e7/1cHRdO2aDuY3WuVEiUMqImZhE1MQsAS60e/cFSWg4dpX7ZKqQaBRGj0nGm5qMYOghpdOTF7fAALjs4DUasp0qQVp1Af6gMe7MR7ZgMtOMyyXh0For4AcHK/sIAwbkMENPSyq4f/xGlw11sXQysGj8SawiqSPvCsHUPgtVKwvDZIW23EyQSNPGZqKNTugwu9iU89Sd3UHN4I06HlZQx/iuXdyQ0/gKMHTYz1S2H0O/fhcvuIGLUOORxCUSOnxKS2loeCIJAU9VeWpauQTkyl+Q//iQkMgKC04l473oaPttL2r1TSLxx7PkyCwHi9//z1fn2gNs+fDLofl0pUCZqUV4/ioTrRyG4BEylDbQeqUB/9AD1n36FRC0nYngqzuQcFNmZSBPjBlxaA2gHR3Mr1jMlyKpP0nq8EmutnvD8FDSj08n+0Q1ohiT0+jc7gL5hgOBc4ph48gxL//SG97MA3Pe9h9g+Ijek13E06NB/tZGMB5/v9wwTeXQsRmcLg/Nu6PlgQdT+rx90lzElCC7aas9SW7MPQ+Fx1IOHEjd3EepBQ2jevZWGjasQS6U9llUItHK8pbaK2k1f4LLZiX3mPhRZGd3fY4CwVdbQ9tEnSDUKRv7zPpRJkb1uI6LVjMQlIOCuNXXtihdDEpR+JUIkPh+7k3TzOASXgLm8idbjlbQVnEK3cTOONjPhucmE5SZhjclBPigVSfjlmYU2gN5DcDiwVdZiKy5HUnOatoJqnCYr4cNSUAxPJeuF69BkJ/QY8D+A/sEAwbmEcd3+o/z3Px95P1skEob/82XsIagk7QtBENC9/wUR82Yijw3OVREICdAMyaVm+RKErPk9rn7j86e2qxUVKOxmAzVHN2ELFzAUHkesUKIdPYG4OQuRhoV7j+sqw8lf//2le3vgNBmp3bcG04FjaBfNIWzGxJCs7gWHA2H7ahpXHiLj4RnEz+tbdfL0sw18/OQ7FA2KZfO0bJYtGodVGVor4JUMkViEOjMWdWYsiQtGA2BrNmI4WU1bYQ22bZvQvVmHNEyJJjuBsOxEzJFDkKenXBIq5wMIDoLTib2mHltpFfKmMxhO12IqaUSZHElYbhLhYzJIvWcKqrToAc2lSwQDBOcSg0dJWaxWcWBwBluGD+Wa46c5MCiNxb94tl+uadp9CGebifi8vhWG9EVPJABAmZqBRK2mcNfbDBl/Z7exNb3RvxEEF8bGCZ2tdgAAJltJREFUSur1J9Af2I3TZESVkUXKXQ+jTEzp8pyOmU/d9d9fGrjgdNJwdif6lV+jHjeCpN9+HwSBtg3bg1a4tp6toPXDT1AmaRn1nwdRxIb3fFIXEDldfPzkO4iAoSWNLL15HIdH9V+c1XcF8igN0VOyiZ6SDYDgErBU6TAU1WEoqsV6cCO64nrEcimawfGoB8dhjRiELCURWVIcohC7mQcQGjgNRuyVtdirapHpSjAW12Mub0IRF4EmOwFldiIxM3IJy07osvTJAC4NDBCciwhBELBX16GoPETrkQoMp2vJ0hs54YK/hyl45WfP8/RT9xKrb6UiIbTBrx64jCaaP19D6u2P9Nk15Wv18EcCfCESiVBnDkG3YxNFwifkTe17jSubUU9b7Rkamk5gPF2INDyc8LyRJC6+B2ttNdox3buTOqK7/neVBm48e5q6TV8iDlMT/9KjyNOSAGhdty0ohWuX1YZz01foNp8k88mriZ0VeLp6V1h+xz+9KeFOYM28UX1uawD+IRKLUKXFoEqLIe4ad401QRCw1rdiOluP8WwDFB1Gv7ERa40eeVw46vQYVOkxmNXpyBLjkCbGIgkbqAPV3xAEAWezHkddI/aaBhSGcsxljZjKm3BZ7Kgz41APikWTnUj8dSPRDI4bIDOXGQYIzgWGIAjYyqqQFH5L047T4HIROWEwcXOGs9JkZWqzEYDvGaxsXv0lRx9+lApl/5AbgJavNqIenR9U1lRHq0dPsSwAUZPdk76ptJhjq/9E5PjJxKtzUETEIhJ1JjuCy4XNpMeir8fcXIPeXImlsgyX1YoqYzACAoLdSuS4Od7rhw3pfZxSj1o252BraqB2+1fYKmuJuv0GVGOHtSMgwShcWwqK0H+0lPC8ZEa//hAyrbrXbfhi3tojxLWeryz/wH8eCKq9AfQOIpEIZYIWZYKW6MnZ3u0uhxNLVTOmsibMFU2Iy05g2KnDUqlDJBGjTI5EmRyFMjESkyIFaWwU0tgoJFGRiAZiOgKCYHfg0J0rktyoQ2WpwlLTgqW6BUtVMxK1HFVKFKq0aJTpMURNHIw6IxZ5XPiAm+kKwADBuUCw1zUiKdhJ4+YCAGJm5pLzy0VosuJRWh2suv1fqH10ScrClOyPCaM/1wv26jpM3x5h0FM/DqqdQKw2HSHVhBE3+wYEQcBUcobWo/spLNmG02REGq5FLJPhNJsQKxS4rFYchjakGg2ymDgU8UlosnKImTkXeYw7i8VhNNCaltmrPvQFTpORukPrMe4+SMR1M4l98h5EsvY/o74WYHUajNhWLUN/pJys5+cSNXFw0P3VtJr45V/Pp4TrtCpKsoIv5DmA4CGWSlBnxHYSZhQEAXuLyT0J17RgrWlBUnkSywE9lrpW7DoDskg18rgIFHHhyGPCMEsTkERGuP9FhCHRhiNSq67YSVoQBASTGWerAae+DWdLK86WVlSOOqwNbdga2rA2tOJosyCPCUOZqEWRqEWaFEnsjBw3cUyJGih5cJlDEAScJpvf/Rec4IhEIgXwKjAbiAaKgZ8KgrD2Qvelv+E0mFCc2UXDphNYqluInZVH9k8WEpaT6B14hp6u4Z1nP/CeIwC/e2kef95yEmlyXr8SnOala4i4flbQ6dGBWD38Be+6VWaz0Qx2r2ydFguONj0t+3bSsncHkVfNIHryDCSacMTdxCsEannpK1wOBw1F39C6ZgvqscNJ+p+XkGi7jofpbQFWQRBQFu+g9L9biJmew5jXHwqZgum/f7Dk/HWAhUufC0m7A+g/iEQi5FEa5FEaIoZ1jh0TnC5sTQasDa3Y6tuwNrVBYz2202ex6AzYmo3YdUZcNgcyrRqpVo1Mq0IaoUIarkQWrsLgjEasViJWqRCpFIhVSsRKBSK5HJFS7v4rk/YbQRIEARxOBJsNl9WGYLHispz7a7bgMptxmSyESZtwtFlwtJqxt1pw6E3Y9SbsejNimQRZlAZ5tAZZdBiq2DAUcRGE56e4iV9cBPJozYBw3hUIQRBoPVyOfslGYgb5j0u8GBYcKVABzATKgeuBz0Qi0QhBEEovQn9CCsHhxHLiNK7Du2k5UErk+ExS7ppM5LjMLlMFF60+4v2/UwTXrHyJtjo9xre+IemJ/H7rp+V0CfbqOtJufLjfruGLQIKPASRKJRKlkpiZc5FpI3tMye5vCIJA24nDNGxbjTQxnoQfPYEsuXsLSG/cU45GHaYvltJU30rur28mPC90hU0VZhsGzXk16mu+fCFkbQ/g4kEkEaOIj3ALxHVTxsxlc2BvcRMCh96Mvc2Mo9WCo82MylKLo9qK03jun9mG02TDabbjstpxWuwIDidiuRSxXIpIJkEskyCSShBJxOf+iUAkOqfpcr7ohyAALheCS0Bwutz/7C5cdgeCw4XL6sBldyASixArZEiUMsQqGRKVHIlagVQtRxKmRBGmQCRXokqJRpqndBO1CBWySDWySDVi+YAD4rsGQRBoPVJO66dfY2ywMO2JXPLnp3FkeVmXx1/wN0QQBCPwss+mVSKRqAQYB5Re6P6EAoIgYK+oQXRsJ41bTqJM0hI3ezhZL1zXZYE0kdNFTGMbjQla/vLcHOZuOcmZQXE89bd7QCSicskekhaN7dcMC/2XG9AunI1YemFegd66sfrbIhMITCVF1H2zEsElEP3ALSjzhgR0XiAFWAWnE8n+jdR/sofkW8aT/OubEctCF1cx+Ewt7z39Pn97+lqySxr4ZvIQbAN1bb5TEMul54lQHyA4XbhsDlx2J4LdgcvmRHA4EZw+xEUQwCW0P/Ec6RFJRCB2kyEPORLLJedJ04BlZQABQhAEWg6U0vbZJkw6K1Mfz2XY/FTE0u7foYtOgUUiUQIwFDhxsfvSWzia9cgKd9K4qQCnyUrcNcMY/ue7upXNj6vTs/y+/9IYreHM4Dh+/NtbmbPiRe9+49l6WvaXkPC72+kv77mlqASnroXY1P6NV/HFpUBYAoWlpoq6nSux1zYSufg61BNGhlSt1lpaiWHJp0jDlIz4+z2oUgIvsxAo3n/6fUTAS69u4t7/PkTJoP4LVB/AlQmRROy2qgwUWx/ARYLgdKHbVYT+i204LE6mPpZD3nWpiCUBFkDu5/51C5FIJAM+At4TBKGwm+MeBx4HkMREXpjO+YHLZMZ08DjOQ3sxFtcTPSWbQU9fS8SItB7lt3/2f6u54Ws3j4vTGdHqzTh9VjGCIFD62mZS752CU9U/hS4BWtduI3zezH5VLA5U9fdSatvW1EDd3rVYCovR3nA1cc9dhSiEFi6X2YLz6xXothWS8ehM4mYP65cYhyX3v+Ylxw4RA+RmAAMYwGUFl81B1N7NfPveGZQRMqY+lsPQWUm9LnERcoIjEom24o6v6Qo7BUGYdu44MfABYAO6VbATBOF14HUARWaq0N2x/QGX1Yb56EmEY/vQHypDOzqDhAVjiJ6UFZAfWOxw8snDb5BS2+rdVhMXzq0dagDpdpzG3mLCMfKafrPe2OsasZ0tJ21B/6YKBxpz4w/BKAr3FnZ9M3UH1mM+eJzw2dOIvn8xYmXo3DmCIGA+cIzWpV8ROW4Qo994GFlE/yyL5606RLrPe/aLMVGUvPg6+moTVqMDsViEKlJOZKqGxLxIWoeMQDsqPWRBzQMYwAAG0FfYW0wot2ziyGdnScyPZP4vR5M+PrbPC8GQExxBEGb1dIzI3du3gATgekEQ7D2ccsHhstqwHC1EKNhPy/4SwvOSiZmZy5Dvz0caFrh1RWOwsH7xP9oRlrfunMTbD89od5zTbKPktc1EPnR3yC0rvmnLhm3fopk6HrGsfwWr+pI67ou+KAr3Fo62VuoOb8C05zBhMyeS9P9+iCQsOM2ZTtdoaMK07HOsdXqG/nQhESPSQtq+LwSjhV/+Y6P3c6NMzKHr0pmTqyUyRYMiXOYuIKmzois3UHOihfo1Ozj7f82kj41BNHk80VOzB8TMBjCAAVxQGEsaYN1mTn1dTc7sZO5+YxpxWcFXWb9YLqr/AHnAbEEQzBepD53gbDNiPnISCg+hP1LuJjXTcxj83Jw+i63d8+keb2FDAbj3tQcpHdy53lPFh7vQjkxDmRO89klHeNKWBZcL4+6DZNzfPyUffOEv5iZQ91JvFYV7A0dbK/VHv8a48wCaqeNI+q3/lG/om66NYHcg2rOO+mX7Sb51QsiDiH1hbzEh/3ojb7xx6vz1gb/uX0RXeVxytZTIVA2DpyQw9bEcLG12znxTS8Ha/Rz+zwayZyYizJhCxMj0garHAxjAAPoFnvga89qd6MoMjL19EE+smIMmOnTW5Iuhg5MBPAFYgVof09MTgiB85PfEfoAgCNirapGXHaT522JMJQ1ox2YSPT2HIT+4vssMqEAgcgl88Nib/PJni3j9kVm88dBMHvpgB+/cNw2hiwnDWNJA/YZjJPz6+8HeUpfwpCtLYqOQRkcGXFCzIxkJRexLoO6l/ghK9iU26slj3cQmsudVQm91bcwnTtP22TJUaTGM/Pf9KBO0Qfe9K9j1JiSr13NsWSm5c1LIlojA4fbg/nPJrIDbUYbLGH5DGsNvSMPYZOXEmgqOvrmWSoODkYsyME6Z0W/3MIABDOC7BVtTG6pvtnL4ixK0yWrG3ZlF7uxkJLLQZ9WJBOGCh7QEBUVmqpD4q+f7fL5T34alsBhx6TH0B0oRySRETRxM1FVZaEelB62toG0ysPquVxEBjVFqnv/jHZRl+g/yFFwCx1/6mLjZ+ThGzQ7q2j1B99GXSKK0JI6Y22lfV+RFt3MzDRtXETdnAdFTr+n0uS/oz+Bjf7C3NFN/9GtMew6jmTKW8HmzkEYFbv4M1ILj0LVgXbUMQ2Etg56+lujJgaWV9xZOsw3F+vXs+7iYvLkpzFuYyq8e38Vbr0/jqfu2cXx2Ep/8eVJQ1xAEgdqTLRz5soyT6ypJyI1ENmsi0VOHIhmoQD6AAQygFxCcLloOlOLcvJPyfY3kXZfC2NsHk5ATmoXT70ctPyAIQieD9UVPE+9vOHQtWItKkVafpPVYBbZGA9qRaYSNzST1zkkoU6JClsny6Dvf8NCSPd7P0c0mantY+davP4rgcmEf0X+BxR5Yjp8mZfGDXe7ryrLS0U3k+7evROVCpovbGuupP/w15kMFaKb///buPD7K+k7g+OeXO5ncmdwHEJJAAiGIIAiCXB5g1Up11Wpbt7S2dd1Xu9V1Xep219btbrfdHrv1qK213l1rRU4VK0orqBxyCAkkJCH3nUwyk8lkrt/+MTFC5EhgJjNMvu/XK6/wPCQz37yeeZ75zu/5/r6/eWQ+ct9Zb0Wdybn62mink5A922h/eTcZ18+m4P7VhEZ6PwnQbk3yh2+z41fl5F1q5K4XlpKUY+CRsvUo4Gtf+ys/2XoVvdkXnjgqpcgsSSKzJImV95VS+U4Lhzbu5eBj25i2IgvnFZcTP/PcMweFEBOXrbWXmJ07OLShDkNKJLPXTOb6Ry4l0jA+H5KCJsHRWuPuNWNvaCG69ziWyhYsR1twO93EFmXgDlFM+dZyEsomeb/BlNb8/ptPU1jbObyrIymGL7x4zynTwEdymKzUP/1XUr79da/2WTkdV5/Fs3REWuZp//90NS8jk5FPtp39Flpfe4n+qgrAOzOZvGmgqZ6Oj/7MYGUtccsuJ/NH3i8eHn6uI5VYXl5PZFYipb+8k+jsJJ88T9+RJjp/s4X68BC+8LP5ZM/y9M75zuo3hhPjELvbK8nNSGGRoZRcm0PJtTmY2wc4srWBj5/YSkO/g5mrc7HOv4KYycZzP5AQIui5Bux0vVeJY8ce2it7mbEqh1t+uYD06YnjHstFl+Bop4vB6jqc3SZcHT1EWJuwNXRjre8CrYnJTyOsII2UJdOYfPcyIjMSaP7jbup+u4P40hwS50zxekzPfONpCk58mtxsWzKdhx+64Zy/V/fUDozLignP8157/jOx1zcRkZf1mUTq5JGY0SYqfQd2019VgaGw2OeLW46WdrvpP36Uzn3bcXZ0EXf1YlK++jdene59MmdnN7ZN6+k/3saUby0/ZZVob7J3Wxh8YRN1H3aw7NszmHFd7vCI45yXqkht+rRG/+n/vbDbUqMRlxbNgruKWHBXEW3Hejm8pZ7qh14kOjGCkmtz6Lv0CqIyE30ehxAicGiXm94D9YTuep+qd1vJnp3MnFumULg0g7AI3/VbO5eLLsFxtrXT/6dXiUiNJyYjgaiCdFKXFhOdl0J4suG0t5vSrik95bu33f+DNaz/8pMA3Pn4VzgxitWa+440YtpXS9q//aNPYhrJ2d5NePpnP2WfT0+Zk0d7fFFHM5bbX26Hna6G3fS99R4qLJT4a5YQM68MdZp1v7zBPWiHXa/TvuEjMm+aS9GDn/PJmjja5Sb2nW3s/81Rym6cxN2vrTxlWFe53Kz5z8PD26bUKE4sPv3onK+kT0sgfVopy78zk/p9nZS/0cjR535PUo6B4quzMV1yxXkvEyCECGxaayzHWonavYuKN5uITY1i5nW5LPuHmcSm+K5R7VhcdEXGsUUZuuxR3zapOyet+Zcfb2bfrDy2ri4DYP4Hx9l76WRc4ed+s9MuN4fufZaoFSswzJ/t42A9TBveAq3JvPS6U/afK5nwR1HwaIqZHX0mOo+9h+UvHxIxJZf4qxYTWTzVp6sfW/cewvzqZuKKM5n89WU+e/M2VzTT9tgmouPDuWZdGcb8zz7PA1duJsHkaR+lgYcOfB589LePhcvhpm53BxXbmqh8t4WkXAPTV2ZhKltIVJZvbt8JIcaH1pr+6nZi971P+ZtNhIRAyapcSlblYDzLqt6+NmGLjL0tpaOP9Xf+mlCtuXZ7Bet+8SZXvn4/Hy4Y/YyZtq0HCTVEEnNZmQ8jHcHpJML22TqUcxX9ertr8GicqQeO1pqBumq6Dv8VW/lxYhZcQvqD3yI8w7dLEdjrmrCufxVnv53CB1aTMCvPJ8/j6BvA8dImav/SyorvzqRkVc7pEzatiTd92hvz8WcWB0RyAxAaHkL+onTyF6VzrcNN3Z4Ojv65mapnn8WQEknR8iz6Zs3HMDXNZ8moEMJ7tNZYKluJ/egDjr7djHZpiq/OZs1PLyN9ekJAn8eS4IzBdVsPsu4Xb56y7/6H15y1kHgkp9lGw3M7SfnO3eP6wlCRkdgZe09Fb3UNPpPTjRCNTLpcAwN0NXyI5d0P0FoTt+xyku+6mRAfrtcFnpYCjrc20vNBNblfWkT6qlk+WQFZa41xz3a2//ww01dmc/erK4iKP3034QiLg1vW7WXH3xax9OlK9t6QS9PswCzwDQ0PIX9hOvkL03F/bzZNB7s4tr2Fhv94BZfTTeGSTKxll5IwK9cnt/mEEOfH7XRhPtxI9P49VL7TQlhkKNNXZvH5H88jozgxoJOak8lVZZR++3fPUlzVOrzdFxvJjS/eg32MPUEant9J8qJCInLHt14iLCXR06V5rL/n42ndZxoh0lozUF9L97FdWPeXEz2ziKQ7Pk/ktHyfn1za4UDt3kbbK3tIu3omlzy1dkzLc4zFQEMX3U9soMbs4Jb/uZysmWe/jfO9xZsJc0Nsl41ND5TywR2+6bXjbSGhitw5RnLnGFlx30w6q81U7Wih7eW3qflRH5PmpeIqm0XivHwiU/031C3EROW02DDtrSX8wH5qdraRmGOgcGkmtz66EOPUuIsmqTmZJDijsO4nW05JbvbPyOHen39xzI8z0NRDx9vlpD98vzfDG5WI/DxMr7yOdrt9PiV9LEaOEDlMPXTV7aZ/514IDSV28Tyy/uY6QuN8X/+jtca65xCW17ZgmJrm02nfbruTsM1bOfqHGhZ9fRpzb8snJOzsx+W+q7YQ5vb8O/ewiV+/sMwnsfmaUorUgnhSC+JZuHYa1p5Bqt9ro/q9I5Q/vZ3YtGimLkqnr3gO8TOyZXRHCB/QWmM90UlyxW6q32ujtcJE7pwU8pdksvw7M4lL982CwONJrhxnkdhpxhYTwf98Yxn/d9NcfvTDDfzbg5+jovj8pnXXP/0XstbMhfjxKdY9WVhaCiGGGKy1xzFMLRr35z+TMEMsCXMWYC4/hKlyL47GVmLmlpLytVuJyM9DKYXL3E/fGzvGtBbUWA0eP0H/axvQDhcF968iocw3dTYApv11tD66GWNBPGtfXk78KC4kMzfVkdxuH97+2YYVPotvvMUkRVJ6fR6l1+fhdmmaD3dTs7Md0/PbOF5jJmd2ClMWpNJZOJeYyanSXFCI8+ToG6D3QB3RRw5Ss6udkFBF6BXpzP9yAZMvSyU8OrhSguD6a7zokYdfY9nOSg4WZ3HPz27HUhDDrc/cfd6PZ6lsxXykiejb7sQf4ydKKeKuXUL7O1uYPKXA76M4rgErlmNHMNXsZ7CqlqiSQuJWLCJ61nTUiJloY10LaiwcbZ3YX9+IuaKZvLsWk7pyhs/eQO09/die3UjjR51c82AZhUtHeZtSa2576KPhzd7USLonB+f065BQRU5ZCjllKSy5p5iBPjt1uzuofb+d+pf/yKDFwaR5qQxOn0HC7DyvdiIXIti4Bh2Yy5tJOLafEx+203XCQu6cFNIuT2fBXYUkT4oN6vNHEpwR4kxWNt7xOBEOFwCzKprJbTLRkJdyQY9b/8x7ZN++AFfk6YtHx4NhwSX079xHy+5NZM6/4ZwvbG9PEXeYuulp/5iBA+UM1tQTNX0qhvmzMd59+1kLhj9ZLPST797gMltwv7uVju3lZH1hLgX/uNpnayxptyZx51vs+FU5pTfkcferK4mIGf2p973LNw53K9bAf/15tU/iDETR8RFMX5nN9JXZAPQ2W6nb08GJ3RUc/7+/ot2avEuN2AqLiS/NJTovRUZ4xITltjsxH20mufoAdXs6aTnSQ1pRAkmXpbL8u6XklCX7ZFHLQCUJzknKDtTz2AN/OGXfuu9df8HJjbmiGeuJDuLWrvX5elNno0JCMH7zDtp/8iTN9lfIXHgTIWFnfglc6BRxt32QgboaejuOYjtcictsIbp0GrFLF2D8uy+NusvwudaCGlNMg3ZC9myj7U97MS4r5pLfriU80TfLOAD017TT+fhG6oEvPnkFaUVjW1wustdGzIB7ePvXT1/h5QgvLglZMcy6cRKzbpyE1hpTYz/1ezup/+gYJ9bvYtBsJ2d2CjmXpNCRV0ZsUYbU8Iig5ewfxFzeRNKJj2n4qJPWchPG/Hji5hlZcFchuXNSxm3dp0AkZ/6Qf394PUt3Vg1vD0SEcsNL92CNu/BCq8YX3yf71gWjagLoa6FxBtIf/CZdv3+F2t/8F6mLVxFXPAsV+tnOv2OdIu409zHQVI+ltwZbVS2OhhYi8rKIKikk+W9vJmJyjt9ujWmni/Dyd2l8fhdxM7Ip/eUdRGcn++z5XAN2+NNmqjbVc+W9JcxeM3nsIwtuN9PfaaUrJ4aURisHrsmiYY5ve/5cTJRSJOXGkpQbS9lNkwEwtw/Q8FEXjQe76dy2lWM1ZlIL48melUxvXgmx0zOJzAjs3h1CnI7WGltzD+aKFuJqy2k62EVPQz8ZJYkkzTGyaO00smcnT+iEZiTpZDzk5JXAj09K4Su/WeuVx+2v7aD8n18m40f/jAo/9wvPZe6nf+denxbUwtDJcriSvi3bcbR1EnNJCXHGIiIzsolISkGdYWRHO504LX04ek04ujvpH2zB0dSGo7EZPeggIj+XiPw8ogqnEDE1jxA/3pIDzxpVA/sOY9m8lUhjHHlrryRumu+m6Gut6d5ZRcuTb5I318iK75ZiSDm/9bD+de5rhGjNoauyibY4ef5XC70cbfCzW520lJtoPtRN06Fumg/34Ha6yZyZROaMJDqzSogtyiAiefwL/4U4G4fJiqWyBWPTEZo/7qH5cA/hUaFkzUomZ1Yy2WXJZBQnTqhbTmdypk7GEzrByavtINE8wKGhzrRP3fN7HvvqEvbNzffK4wNU/XQr0VlJsPhzo/r5vjd2YPrjVhJvWe31gtozcbR1eupijp/A0diKs8tESHSkpy4mLBTcGu1w4h6woe12QuNjCU1OJCw1hfCMVMKzM4jIzSTUGDgFn1prbEcqsW7aAsCkry4hca73F1o9ma3FRO9vN2BqsnLtujImzTv/0ZZ/uOp1jO02AFyhiu/vuzFguhVf7PraBmj+uJvWchMtR0y0lPcQFhlKRnEiGcWJdKRPxzA1TUZ6xLixd1voP95OWms5rRWe1+SgxUlGcSJZM5M8X6VJxKVd/FO3fUGWahjhyXufpaSyFVeIwmyI5HOv/D1rH7vLq8/hMFnp3lVFxiP/xGiXfowqKyHqWA1RZSVejeVswtONhF+zBK5ZAnhGPdwWK+4BG7hcoBQqPAwVFUVITJTfZ2Cdi62qFtvmzTh6reR+5QpSFk/z6RuV2+4kYuvrVLxYzfwvF3Dzzxdc0KeqpJre4eQG4MfbrpHkxovi06OJT/+0cFlrTW+TldajJlqP9uJ8530qH+/FYXORVhhPWmECPekFxExJJWaykTCDb1aoF8HP7XAx0NiNtbaDlNZjtFf20nasF5fDTfr0RGzFCUy/Kptl355BUq5BCuYv0IRLcKItNl678wlirZ6eImFuzaEZ2T55A2nf9jHJCwvHdKvJdrAc26Gj2KblE5E5PiM4I6mQEM8ozRj69YzXrbWzGaxtYPCNLQw0dJP7pYWkrpjhk6UVTmbaW0vrE1sxTo3nqy8tIyHrAguWtea+m7YPb1oSwuk3yqc2X1JKkZhjIDHHMJz0APR3D9Je1UtHZR+OqqN0vL2bYzVmohMiMObHYcyPoyu1gOjcFKLzUgiPl+MkPNwOF7amHqz1XaR3VdJZ3UdHdR+mxn7iM2NIK0ogoiCeObfmkz4tgfiMaBkt9IEJleBMOtHJi3f/7pR933/wOt5ePsPrz6W1pu2NQyR86fYx/Z4vpkSPB1/2qjkXe10Tg9u20H+8jZzbLyft4VmEhI92zOz8DLb30f/MRlrLTVz9YBkFSzK88rjfv2zDqVPC37rWK48rxs6QHMmU+WlMmZ82vE+7NaZmK53VfXTWmBmorqDrLTNddRZCQhUpk2NJnuT5ao4vIDo7iajMREJjZNQn2Gi3xt5lwdbUzUBTD6k9NXSdsNB9wkxv6wAJGdEYp8bjyo+j8MoMFq4tImVKHGGRvr02iU9NmARnzfq93Pf4p5+MnSGK61+6h74k34w2WI62ABAxdWwdcb05JXo8+SMxsze0YH9rC+aKZnJuXcC0h270+ZRgt8NF9LY32P9MFZfels/1j8wlPMo7F6zkejOR9k9r4h59bgmuyAlzil4UVIgiKcdAUo6Bwis/LVbXWtPfNeh5g6sz011ngY/30FRvwdRkJSImjKScGBJzDCRkG2iLnUJkRgJRmYlEZYytdYAYP26ni4G6LgbberG19ZLaV0dPQz+mxn5MzVYiY8NIzoslOS+W6DwDZZ+fRPJkz7YU//rfRVdkrJTqAOr8HUcQMQKd/g5CDJPjEVjkeAQWOR6BJVCOxySt9WdmdVx0CY7wLqXU3tNVnwv/kOMRWOR4BBY5HoEl0I+HjKEJIYQQIuhIgiOEEEKIoCMJjnjS3wGIU8jxCCxyPAKLHI/AEtDHQ2pwhBBCCBF0ZARHCCGEEEFHEhwhhBBCBB1JcIQQQggRdCTBmeCUUpFKqaeUUnVKKbNS6oBSapW/45polFLJSqn1Sqn+oWPxRX/HNFHJORG4lFKFSimbUup5f8cy0SmlblNKVQxds6qVUov9HdNI0gdehAENwJVAPbAaeFkpVaq1PuHPwCaYRwE7kA7MBrYopQ5qrY/4NaqJSc6JwPUosMffQUx0SqmrgB8DtwK7gcyz/4Z/yCwq8RlKqUPAw1rrP/k7lolAKWUAeoCZWuvKoX3PAU1a6wf9GpwA5JwIBEqp24A1QDlQoLW+088hTVhKqV3AU1rrp/wdy9nILSpxCqVUOlAEyMjB+CkCnJ8kN0MOAt5f5l6MmZwT/qeUigd+AHzX37FMdEqpUGAukKqUOq6UalRK/UopFe3v2EaSBEcMU0qFAy8Az2itj/o7ngkkFugbsa8XiPNDLOIkck4EjB/iGTFo9HcggnQgHLgZWIznlvolwEN+jOm0JMEJckqpd5VS+gxf7530cyHAc3jqQO71W8ATkwWIH7EvHjD7IRYxRM6JwKCUmg2sBH7u51CEx8DQ9//VWrdorTuBn+GpVQsoUmQc5LTWS8/1M0opBTyFJzNfrbV2+DoucYpKIEwpVai1rhraV4bcEvEbOScCylJgMlDvOSzEAqFKqRKt9Rw/xjUhaa17lFKNwMkFvAFZzCtFxgKl1BN4hhlXaq0tfg5nQlJK/QHPReJreI7FVmChzKLyDzknAodSKoZTRzjvx5PwfEtr3eGXoCY4pdQPgFXAdYAD2Ai8q7X+F78GNoKM4ExwSqlJwDeAQaB16BMSwDe01i/4LbCJ5x7gd0A70IXn4i3JjR/IORFYtNZWwPrJtlLKAtgkufGrHwJGPKPPNuBl4N/9GtFpyAiOEEIIIYKOFBkLIYQQIuhIgiOEEEKIoCMJjhBCCCGCjiQ4QgghhAg6kuAIIYQQIuhIgiOEEEKIoCMJjhBCCCGCjiQ4QoiAppS6WSk1ONSA75N9v1RKVQ+t9C2EEJ8hjf6EEAFtaF2oPcB+rfXXlVL3Aw8Ai05au0sIIU4hSzUIIQKa1lorpdYBW5RS1cA6YMUnyY1Saj2eBRnf1lrf7L9IhRCBREZwhBAXBaXULuAy4Hqt9esn7V8KxAFfkQRHCPEJqcERQgQ8pdRyoAxQQNvJ/6e1fhcw+yEsIUQAkwRHCBHQlFJlwHrg74HXgP/wa0BCiIuC1OAIIQLW0Myp14H/1lr/Tim1GziklFo6NHIjhBCnJSM4QoiApJRKBt4ANmmtfwCgtT4M/BEZxRFCnIOM4AghApLWuhsoPs3+W/0QjhDiIiOzqIQQFzWl1J/xFCAbgG7gFq31+/6NSgjhb5LgCCGEECLoSA2OEEIIIYKOJDhCCCGECDqS4AghhBAi6EiCI4QQQoigIwmOEEIIIYKOJDhCCCGECDqS4AghhBAi6EiCI4QQQoigIwmOEEIIIYLO/wOmDxAOzOJNIwAAAABJRU5ErkJggg==\n", 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" ] }, "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": 156, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:51.471917Z", "iopub.status.busy": "2021-10-24T06:26:51.471265Z", "iopub.status.idle": "2021-10-24T06:26:53.155348Z", "shell.execute_reply": "2021-10-24T06:26:53.155803Z" }, "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": 157, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:53.161428Z", "iopub.status.busy": "2021-10-24T06:26:53.160765Z", "iopub.status.idle": "2021-10-24T06:26:53.163271Z", "shell.execute_reply": "2021-10-24T06:26:53.162750Z" }, "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": 158, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:53.184040Z", "iopub.status.busy": "2021-10-24T06:26:53.183398Z", "iopub.status.idle": "2021-10-24T06:26:55.879465Z", "shell.execute_reply": "2021-10-24T06:26:55.879937Z" }, "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", "text/plain": [ "
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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": 160, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:58.201223Z", "iopub.status.busy": "2021-10-24T06:26:58.200583Z", "iopub.status.idle": "2021-10-24T06:26:58.205010Z", "shell.execute_reply": "2021-10-24T06:26:58.205451Z" }, "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": 161, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:26:58.210603Z", "iopub.status.busy": "2021-10-24T06:26:58.207823Z", "iopub.status.idle": "2021-10-24T06:27:00.041482Z", "shell.execute_reply": "2021-10-24T06:27:00.041970Z" }, "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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\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": 162, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:00.046791Z", "iopub.status.busy": "2021-10-24T06:27:00.046048Z", "iopub.status.idle": "2021-10-24T06:27:00.052852Z", "shell.execute_reply": "2021-10-24T06:27:00.052256Z" }, "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": 163, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:00.057299Z", "iopub.status.busy": "2021-10-24T06:27:00.056685Z", "iopub.status.idle": "2021-10-24T06:27:00.061196Z", "shell.execute_reply": "2021-10-24T06:27:00.061603Z" }, "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": 164, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:00.067565Z", "iopub.status.busy": "2021-10-24T06:27:00.066702Z", "iopub.status.idle": "2021-10-24T06:27:00.070499Z", "shell.execute_reply": "2021-10-24T06:27:00.069896Z" }, "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": 165, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:00.075258Z", "iopub.status.busy": "2021-10-24T06:27:00.074333Z", "iopub.status.idle": "2021-10-24T06:27:00.077662Z", "shell.execute_reply": "2021-10-24T06:27:00.078088Z" }, "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": 166, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:00.082469Z", "iopub.status.busy": "2021-10-24T06:27:00.081891Z", "iopub.status.idle": "2021-10-24T06:27:00.085333Z", "shell.execute_reply": "2021-10-24T06:27:00.084808Z" }, "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": 167, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:00.090145Z", "iopub.status.busy": "2021-10-24T06:27:00.089552Z", "iopub.status.idle": "2021-10-24T06:27:07.208894Z", "shell.execute_reply": "2021-10-24T06:27:07.208099Z" }, "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": 168, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:07.213506Z", "iopub.status.busy": "2021-10-24T06:27:07.212909Z", "iopub.status.idle": "2021-10-24T06:27:07.231209Z", "shell.execute_reply": "2021-10-24T06:27:07.231721Z" }, "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": 169, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:07.272815Z", "iopub.status.busy": "2021-10-24T06:27:07.268189Z", "iopub.status.idle": "2021-10-24T06:27:07.654745Z", "shell.execute_reply": "2021-10-24T06:27:07.655261Z" }, "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": 170, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:07.661794Z", "iopub.status.busy": "2021-10-24T06:27:07.660883Z", "iopub.status.idle": "2021-10-24T06:27:26.940515Z", "shell.execute_reply": "2021-10-24T06:27:26.939852Z" }, "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": 171, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:26.944937Z", "iopub.status.busy": "2021-10-24T06:27:26.944353Z", "iopub.status.idle": "2021-10-24T06:27:26.949284Z", "shell.execute_reply": "2021-10-24T06:27:26.949671Z" }, "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": 172, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:26.953775Z", "iopub.status.busy": "2021-10-24T06:27:26.953213Z", "iopub.status.idle": "2021-10-24T06:27:26.958258Z", "shell.execute_reply": "2021-10-24T06:27:26.957680Z" }, "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": 173, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:26.963003Z", "iopub.status.busy": "2021-10-24T06:27:26.961855Z", "iopub.status.idle": "2021-10-24T06:27:26.963679Z", "shell.execute_reply": "2021-10-24T06:27:26.964098Z" }, "id": "jGzspmUTDRoY" }, "outputs": [], "source": [ "from sklearn.mixture import BayesianGaussianMixture" ] }, { "cell_type": "code", "execution_count": 174, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:26.968273Z", "iopub.status.busy": "2021-10-24T06:27:26.967696Z", "iopub.status.idle": "2021-10-24T06:27:30.003462Z", "shell.execute_reply": "2021-10-24T06:27:30.003955Z" }, "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": 175, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:30.010039Z", "iopub.status.busy": "2021-10-24T06:27:30.009365Z", "iopub.status.idle": "2021-10-24T06:27:30.014948Z", "shell.execute_reply": "2021-10-24T06:27:30.014459Z" }, "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": 176, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:30.020557Z", "iopub.status.busy": "2021-10-24T06:27:30.019976Z", "iopub.status.idle": "2021-10-24T06:27:32.714814Z", "shell.execute_reply": "2021-10-24T06:27:32.714233Z" }, "id": "hHUizzBaDRoZ", "outputId": "7639219d-3105-4166-ea89-b99fbd869035" }, "outputs": [ { "data": { "image/png": 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+feKgTxxd7zJRvOs0JzbsZt3bh0kYGELnsdHE9g2+rKPcW0XcDj77roSVf2n5bEnQJdFS1HOzlsQZ5+ugG4MkHNkTbrebcscWPc89VMi1z/aGa5smVzjjQCFLHttNz5viMI4d3WSeDs3JbE5/sBapSk7gI3cjj7R/oXO5I/NSYVbrnS7iErOF32/9zHb7YFI4a0Z0cuo57KXfzlP87/kltt9KXqAnE3++t1FjPfLhWsavOWK7/dRz421lWltxPVKlnMBr2sM17fEt1eG7dwubPkxGV7yfzuOi6TohBt+Iy6+4TKuI18Oq9Vpefa+ILxYH4+Pb8oNSvFdrib/7vIDr2sk4vjbM7uev+l3Lu6+UMOZ/A4hqohzw/YvOsvnjZKIfGYupb3yTWMBmrYFz322lcMsJYu4YhKH9NZfEFklTIlEpsOhN9R/YQNZO/MD2GavdFdz3/q1OP4e9vP3CeQE/nhDMHZ/ObPRYE1ccsP3/iRcmsG2A66PQW6kZuY872qGjiBsK2jN5GDZv4dtpmwjt4Ev3SbEkDgpr0hLRruTyeBUu4shxA7Pm5vL6ZwFERl8a6x1FphljpASrtKITWUME/Oev1Hz0Zik3fD6kSQTcYrKy+rUD7P7pFO3emYF/33iXnxOgcNtJDtz1NVaDieAXH6vY+24V8IsQZBJEs9WpY34290fcDGYArMB1ix906vgNZd6MqxGBjQMSHRJwgMdfvhERmD+xZ6uAtyA84oJRzJpE15/mILumN3t+Ps0n161hy6fHUOeWN/f0HObSUKZmIL/AzPgZWfzvxUA69Wr5ueAh/ytGPUBFwR0+FNzhAxozeNr38YqiyMf/LWXTmnImfds0bUS1hQaWPL4Llae8yfa/jYVqznz8F+VphfjefguqdnEuP+cljQsyVwQq8sClVpExC+5HbMK0wUq+n/0NCyb2YuV1Xfjxlv4suKEXxkZ2RxOsInM+X89H9w1jZ794Bi975LJpaHK5IVHICBraEYZ2xP9sProNm/hy0npi+wXT++Y4IrsHXJKL+dZvWw0YjSKT78zm5oledBrX8gU8flouPtuNWD/XcPBIBKJKYreAm80irz9VzKmTJiZ8PaJJahfnnihl0UM76Xh9JOKk8S6Lfq5EFMWKMpRfbyH0+q54TL8NQX5lRK46gmi2InGWy9FqBUHgng+m0+1gGqIoUtrEhXskZgtrJ36Am8HMk++vxlOj57fJfRot4AB/TvoQH40BT62B9+YMQ+926ZRfvpLxaBMEd0ymy1QDPjs38ucL/6DwlNPnlng6jIy8pFztrSJeDVEUefCZPHx9pdzwcMsPgmg/LAv3lIo66BITSEutmFX2fQENepGnHijEoBe57rORTVLE5fhfmax69QAjn+xKXvchLt//1ueWcvq9NZjLygl8+C4kUc3TmetSxKI3IVE5vojtu+sU/31hKSnxwTz8xhQOdI1xwuwahptWz9obPkTyr3PBKpGwpb9j3dE+fGw+PhoDANf/dZQ3H73e0Wm20sTIPJRoh46i3RCR4t2nOfj7FjZ+cJTet8TT7cY2qLxa/mK/VcSr8cUPpWzfrefzpUEtO5VMFOncIwt50fk66MlrgjGH2PeRqsusPHpXAYHBUvq9PsLlK09RFNk+7wQHlqSS+MpU8tq6NgpcFEVyVx7k3HdbCb+hF+JV1yG0VstqEBaN3uFtDt8iLe8+twSADim5BBSoUXs3bcnM/n+n8N8Xl9oWjBo3OdctmYvVAVf+zQt22NqTAkz+bjZiS75etFIngkTAv18C9EvA51QuuSvW89noNXSdGEuf6QlNVma6MbSKeBX+3lPOi28XMW9xEB6eLdedIikx06VHNpJ/G5GJwOEdoZjD7Vs1FhVYmDMjny49lCQ8Mszl7myT3sKK5/dRmqmj7XuzUAR4uvR8hnw1p99dhUmtJ/DReyAi9JLJ+baotWi378VjQC+kXs3nCRKtViw6o0OtXiVmCyumfmK7fSI+iNS4YGdMz27mfLaeqUv32T7/5IQQ7vpkhkNV4eJTspnz9Vbb7dceGUVOmK9jE22lxeCZEAIPTaPD1FJMK9cxb+JfJF0XyVUz27bIEq8tV6mamOxcM1PvzuGZt/2IbtOyXShuR40I/wq42VPg4KEwuwU8O8PMnZPzGDjUjYRHXS/gmnw9P92+FYlUIPpN1wq4KIrk/XWUg/d9j1enSPwfexBFxKWV963dvpeShSvRbt/brPOwlmmQeakcqle/6saPzqc6KmXc/tks50yuAeyv0sBlyeiu3PXpbQ4JuNxg4vv7f7Td3jggkZWNbE/aSstGFeqD8vZJdPpyNkp3Gd9M3cCfL/5DSYa2uad2Aa2WOGAyidx8dzZ33uLNwKEtvzuOdoA7pYM0KHIsDUohO3vKxP3T87n1Ti+UNzauqUNDyDlWwqKHdtLtxlhM48a4NPLTVKrj9AdrKU8vInDunQgxES47lyvxGNDrgr/Nhbm4FEVg4xdcnz78E57lRqDCUzTi94ecMzE7iDudS8/9aSyc1IftA9ryzbR+pMSFsPUax2vwh+SXUeqlwlNroNDfg2dfaJoGMa00Hwo/D7h5Ip1Gl6NYs5Zvb9lEu2vDGHBX+xZhmbeKOPD06wV4eEgYc3/zfyC14bdAQ9DPGjKf9KG8nZwzPzTMLXnssJG5s/J54ElfjMMGuWiW5zm5MYs/X9rPqKe7kdt1sEvd2cV7znD63dUEDumAx60zLunIc6mXB96jXP/51IelsBhlSONrfodllwIVAj52/r1Nlkp23epDPPPuagB29WzDuTZBfDPzGqeNnxEZwOjFDxKQX0phUGtN9CsJubcb4uTxdBpZjnz1Gr6ZuoGkUVEMmN2uWffMr3h3+u+rNCxeoeHxd31bbCBb+OtFtPlPMZ4HTbS7uQDfPxtWoGD/bgMP3JbP4Kd6u1zARVFk1/cprH7tIAkv30Ru18EuO5fFYOLMJ39x+v01+N4+Ddl1ky5pAW9JmPIKUTmwzzvx1/v5bVwP7nlnakUrzibg23u+5Zl3V9sWjHf8/LfTxlboTWwZ+V/+99RvAK0CfgUj93aDKRPoOG82ErnAlzf8xaaPjqJXO7+6oT1c0SJ+9pyJex7P46WP/fH1a5mRy7F35xH6xfk9mPxbPSiaYf9FcfvGch67u4BRr19Fu6GuTa+ymKyseuUAh1eco917M/FqZ7+rv6Foz+ZzaM6PmEq0BD/3CKr2TVPt7UpBqclEFd7wpiTLJ3/E3I/XAfDBnGEc6ez6tsFepVrWj3mHtmfyEaiw/t+5bygvPDveaedYdeOHSEXoty+VXvvOOm3cVi5dFH4eyGfcSNInd6DJ1/P5uHXs/vkUFpNzqxzWxxXrTjcaK/bBn3rQj87dW2aBhrZjcvA8fH51l/6MD/mz7e+I9NefOt56vphx719NZFfXtvTUq00sfXw3EqlAm//OQurumvdUFEVylu0n/aftxN41GEP71pKprqA8vZCg4R0b9Jz5s+bhX1rO5GX7SY0J5I+x3V00u/MM3HKcN15dZrO+DXIpd354C2finRfQ+MgHa1CZKiJJrRKBvT1inTZ2K5c+ymBvlPdPJfH6fM7+uJJ9888w5KGOtBsa3iTXpitWxJ95o4CQYBnX3NYy8//aD8/G/WRFjWkROPVVAOrh9u/ZL1uo5ZP/ljDx08GEtHOt6680W8dvc3YQ1TMA5cwbHYporgtTWTmn3lmFsUBN0BNzMIYEtpjUMdFiwZxbgCkrF3NeEebiEqxqLVaDEaxWBLkciYcbsgA/5JGhKBNikXq7NtWusYiiiC6tEPeY2uvnm0p15K05TPDIzsh93Hns/dVEZ5YAFaVV11zboUnmmh9UsagVgaxgb6b8dI9Tx3fTGrjxz4O22zMdjG5v5fLFo00QHs/fhnJfKls/W83e+WcY/p8uLr/+XpEivnqDlt+Wafh+ZXCLteLS3vKn/cQ8ECD5z2AMHe23bBd8p+b7L9TcMO9aAtu4dj8yO7mYhQ/upO+MBHQjrnPZ+1l2OJ2Tb6wgcHB7PGfOQpA171dXNJkwpKShP34Kw8lUjOcykfp4IQ8PQRYcgLsiBGmUBxKlCgQB0WzGUq6l3FSAZsseCr9dhDw0CM9reuPRrweCvOX8FC1FJUgUsjpbkOatOUzaV5sBmBgTyMSVh2yP3fP2VPQerlscS8wWFEYzenclxzuEs3Zwe/b2iGHlqK71Ple0ihiLNBhyyzAWqDEVazGVlWPRGrDqTVjNVhBFBKkEQS7l1KrzAr4tPpijcilKoxmJouV8Xq20LHx7xuLTbTbe29Yx/57ttB8WzqA5Sbj5uKaEtyC6oMmBK+nVVSXuXtP4fbbcfDM9h5/jxQ/86XVVy7LCZTkmQj9Vk/GyPwDef2pRD1Ehutu/X//dZ2Us+UXD+M+Hurx37qktOSx/fh/RD1xPwNWu6dokWqxk/LqTnGX78Z0xBbcu7V1yHnuwaHSUH0imfP9R9MdPIw8PQdUhAW+/RFSR0UhV9qcnihYL2tMnKDy0BVN2Pn7TxuHeLcmFs7ef8oPHMG3fRNIbU2o9ptISb3NVAhvv+Np2/8839uLTu6912dymLNrDnC83oXNXkBXiw+2fz6x9jmXlaE/moDmdh+5MHrq0QvSZxUjd5ChDfFAEeaHw80DmrUJj8kdQKhBkUhAkYLXgV6YhZcmaiqYtQED3GAy5pRjy1SiDvHBvE4RHfAiebUPxbB9WEfDUSitVMJWVY1m4guPrshg0pwPdJsY2qjbH612X7hNFsca80ytqOSmKInc8nMttU7xbnIArTxpIGp6HAOijpRTc6UPZaPtFWBRFPnunjPUrddzw1XC8Qlx7Qfnnt7Ns/eIYCS9OwauDawLmjMVaUt76E9FkJuiZucj8mj4iWDSZKD9wDO2Of9CfPIOqQwI+bboRMeJmpO6NXyQJUimebZPwbJuE7mwKWfMXYDhxBt/J1yNImjfeVFVyCkVCSJ3HyH3ciZjSl6/vPC/gKTGBrhNwUWTBbfOIyClFADy1BqzV3iZDXhmlB85RdjidsqMZmIq0eCSE4JEQgjW2E14DQvAPDUZSQ5OSmiJNTMCrUgnPLlzFxKfvwye+oua7aLZgzivAmJ6NpeQ0mQt3o03JQeHviVenCLw7ReHdORJlqE+L9fS10jTIvd2Q3zGZhEG5HPp8GYd+T2PUs92d6mJvEZa4IAiJwGFgkSiKt9Z1rCOW+GfflfDdr2V8vDgIubzl/LiCPi4l8u0y2/6utqOcEyvtD8wRRZH3Xi1hz98GrvtkOB7+rgvUE60imz5K5sRfmcS+PK1REcz2UHoonZQ3lxM0vBOSIeOavO65KTsPzaadaHfuRx4Zhl/7Pnh16FzhHncBlnId6Uu+Qh4egt/0ic168dd89SWB1yYROKh+r0dQfhlvvrAEhcHM9K/vdMl8uv+TxnvPLkRuPt8n4PmnxrCufyKlB85RsucMJftSMWsM+HSNwhrVHmViLPKIUOcsiMxmqGf7RrRaMWXkYEhJRZJxnLLDGQhyKT5dKgTdu1Mkqkj/VlG/ghGtIr5/r2PzR8l0GR/DwHvaI3ezz46uyxJvKSK+FnAD0lwl4idPG7l6bDrzFgcTG99ycomjHi0gaNH5vG91bwUpi+q2gqpitYq89Vwxx46YGPHRcNy8Xdc61WKysuL5fyjJ1BL+7LQ690wbi2gVyVy4m+wle/G97SbcOjteZcv+c1spP3Qc9V/bMWXm4DmwNwEJ/VH41RzZb9ZqKDuwG+9ufZB5OB6kZjXoSf3pIzyv6YvXtVc5PF5jyXniVTr9b2qdC7RJi/ew/PouGNyUFX3HXSRONyzZw6Ofb7Td1qpkjL6lP4eTsyg9eA6PuGB8+8ZjjOyGPNI5on3NoWN889EPqFVKXpsymkUDezd4DFEUMecWYDhxpkLUj2RgNZjxSgrHq304nu1C8UwMdag2fSuXJsZiLbrv/iDrcDHXPd+NNn3rL9zVot3pgiBMBUqAvwHHegPWgtksMvPBXF54LKBFCXjClBy8d51PIct80IvcR33tfr7FIvLqE8WcSzUx6pMRKD1d99r0ahOLH9mF0kNG5Ku3IVU6/1xmjZ6Ut1diKtER9PSDyPx9nX6OmhBNZrR/76Ns7VYEpYKAHoPwurEbknqsr7IDu8lftwIA/wGOu5ElShWR428j7bsPcevWoclef1UspWqsBhPKOgq93DJ/B/d9u5W58zaS3DaUuz+a4bL5SEWRSjPjL28V15mt+BzLRkjqSejUW5B6ViwknbZ0FUV++OA7BMBfV05pI/uDC4KAPDQIeWgQ0Bd3wFxUguF0Gqb8k6T/9Dfa07nIvd3xiAvCvU0QbjEBuEcHoAr3Q+pAj/NWWjYKPw8UD09D3H2aP59fSVz/YK59pHOj2542q4gLguANvAxcC7jGFwf879NiPD0ErprWcvLB/eeX4bXLZLtAnX3Pj5Ib7LfmzGaRFx4pojDfwrAPXdsLXJ1XzoL7/yaqeyCKmTe4JIVMezqPE6/8jm/vuCaLPrcajGg270K9ZgvyyFDCRk7GLTbebpend7c+F/ytxBELXREYjOegvpQu+4uAmZMa9FxnYEzNwCMhpNb3ICotn/u+rejgJRHhtwk9nT6H/n+nkBHiw8FCDa+dyKG7AF8khLB28BDCuibVuKftLD74Yr5tWyvf25N1vZzX3ETm7/vvwqwrfteDr9WKOa8QU3o2aM5StC2FjHM7MWSXIPNSoQr3RRXuhzLEB2WoD6oQ74qAvABPl6VxttJ0+PWJx+uz2Rh/+oOvJq3n+he6E9fffi9sJc1tib8CfC2KYkZdF05BEGYDswGiIxo25SPHDbz3RQnfrQhuUWVVi272puhmb6IeKaRwqge6Pva71UxGkWfmFlKuFRn83kjkKtftFxecKWPB/TvoPikWw+jRLtnTy/vrKKlfbKDNfUMxJAx0+vjVsRpNaDbtpGz1ZpTx0UROuRNVeGSDx5F5eNZogddnodcn8kFJQzjz8ev4TrreZmk2FcqikyjqqLT30z3f2/6/YUAi64c2rCBMfXx159e0P1eIFghrF0bQ8E7cMnEKUk8PXN2Y1b1cz4Q951PKBrz5hEvPJ0gkVaz1LngAHvzbBraoFHN+Iea8QuTGLEp2n8aQV4Y+pxSzWo/C3xNliHdFoZEQb5ShvhUiH+qLMsirVeQvEWQeSmR3TyGyVyorX15O/NWhDH2kU4OMsmYTcUEQugHDgHrLOomiOA+YBxV74vaew2wWuX1uLq89HUBYA8XfFUgLzbS9IY+ise7ouspRD/cg/d2GVVIzGkSevL8AUYSr/zcCmcJ1Ap5xsJDFD+9iyEMdKeo7zOmFVawmC6nzNlKy9yyBj9yDIdK1bUNFswXt9r2ULv8LRUwkUTfPRhXq/G5ntVnoldQn8jIPT1RJiZTvP4LnwJrHcBXalByCR9Zsff50x1fILBXBZUapwHNO6uBlNVvwX7qXBV9vwdNa8fP2AKLun43Ww52mCmnc/ejrtv//3bYNBmXzuLQFiQRZoB+yQD/oULHD6P7vP6jY/jEXlWApLMFcWAymTMoOniM/pxR9TimmUh3KIC9U4X6own1xi/BHFemHW1QAymBvl7cfbqXh+PaMxfPT2ZR/s4Svb9rAuNd6EdHF367nNqeyDQZigXP/WneegFQQhCRRFHs44wTvfFaMr6+EnpOaf3/Jc7OOxBmFCEDER2p07WQcH94w28KgF3n8ngKUSoHer45AKnfdajtlczYrXviH2EfHUdQnzunjG4s0nHjlD2SeKgKfnIvE3XUpcaIoUr7/KCWLViH18yHixlm4Rca47Hy1WeiV1CfyAD5RnSg70rQiLooimpO5xD1w8WJq0MZjtEkvst0e/dsch89nLNSQu/Ig/1mwi/uNZtsi0SiVMvKFB9F6NJ0XQmUwojRVxKdYgZv/c3eTnbuhCHIZ8pBA5CGVFfV640ZFZDD8K/IFRZjzCtHnFUJGBkU7T1GeXoRZrcctyg/32CDcYwMrct3jgpH7e7RGzjczMg8lXg/cTPDWEyycu5peN8fR/452SKR1fy7NKeLzgF+r3H6MClG/1xmDnzxt5J3Pivluee37e02F/w9qYp8rsd02Bko4vqZhVqdeb+XRuwrx9hHo/oJrBfzg72ls+vAoCS/dhFd75zcxUR/L4sQrfxA8qjPCoLEuy4u2qLWULl+P8ew5RKOJ0OE34B7frtm/D/WJPIBbVCz5W1Y20YwqsJSoES1WFEEXV/mzyiSoPRR4ao088OZkdF6NX3SpT2STvWQvxXvOkGIVaWM02x5b0qcbD8+e2uSlTQ1yGd3ef5bDc1/hvntuuaRLqwpyGfKwYORhwTZhVwA+gLVcjyk7D1NmLsbCs5TsPYv2TD6CRMAjIQTPxNCKyPl2YSgCWmZZ4MudgIHt8OwQTtp7Czm7M4/xb9SdHdFsIi6Kog7QVd4WBEED6EVRzHd0bKtV5O7H8nj2YX/Co5rXjR7xYiEh39peJsXDVZz9KqhBY5SXW3nkjgL8A6V0e344EplrRE8URXZ+m8I/C8/S9r+34hbl/KYpuf+W6/SdMRmJCyuUWUrV5H3wLaa0TNx6diJq9EynLRacnVpWE3K/AKwaHdZyg0sDuapiysjCI/7CUsTuWgMyi4WtA9txU6dI3HQGciLsc/NVRbRYKdpxiqwlezHklRE2vgeqG25C8tKHoCvCCjw280YWN/H2AcDYnfs5ERHMyagI4j5/td6c8EsZiZsKZVw0yrhooDc+gLcoYikuxZiWCcUp5Kw4gOadVUjcFHh1CMc7KQKvThF4xAW37rU3EcpAL8Jfnoniz5V8e/PGOo9tMd9WURRfdNZY38wvQ2+wMuDW5s3B9NxWfoGA58zyJOvFhhVHKddZmTurgNAIKZ2fGVGva6WxiFaR9e8e4czfuST87zaUgc6tuW41W0ibt4niPWcIeuwe5OENj8K0B9FsQb1+O2UrN6Lq1hG5zJPgfqPrFfCGCLOzU8tqQpBIkPr7YikuQeLmmveqOqaMHNxjL2x68ufkj9C5KfhzeCc+vedaSv0atgVkMZjIX3uErMV7kHm54X7NNXx27DRP9x2FRBAY8dJDfPTFfO6eMx1rExf0AXDTG/joy1/RKeRMfOo+TkS7tl1vS0QQhCqR8x3xvha8KvPcT59Dl3qcnD8PYCzU4NUxAp+u0fh0i24VdRcjSCWYxo0hLjGLw3N/qvW4FiPiziI338yzbxTy4U+BSF0kePaiGaDCKgfBBOde8aFwhv1tRAF02goBj4iW0vEp1wm4xWRl5Uv/UHROS9x/Zzm9AIWprJyTry1DkEpctv9tUWsp+X0thuNnkPn7EDPzQTQnjpB/eg/ak0dRBtUthA0RZnv2tJ2B1NMDi0ZHU1U2UKgzcKsSmf7KS0tRmK0o1HpGrzvCp/fYv2AxlZWTs2w/Ocv+wbN9GN7Tp9LRTclfL36ABPDT6rh3zm3oVUrumjvT+S/GTpa9+hEC4GE0ccvmXTw/3TnBepc6F+a59yRoEljKNBhOnsGQkUzKmyswlZbj0z0a355t8O3VxukL/1YqqK+s9WUn4o+/VMCMKV60TWqeYDaJ2kLbyfkcXxUCgsDhbaFYfSSIbg2zMnRaKw/OLCA6VkbSU8NdFlFq0lv4/T+7sVpEIl+e4fQiE7q0Ao6/sAT//olIR97gkv1vi0ZL3vvfYErNwLtLD0In3oIgCHi72S+2DRFme/a0nYGgkCEaTfUf6CT0OaUEDqloITpyzSGu3Z5ie+zOD+sspGjDkFdG1pK95K87gn//RAIfvQd5WDCffPYTo/cdsQWvxeQXO3v6Dca/VEPb7IrdOxF4/tYJzTqflo7U2xP3Xl2gVxeCJlQUr9Enp1Cy7whpX25CEeSNf994/PrF49kurDUKvom4rER843YdW3eW8/O6pnE/VkeWaaRz/1wEoN2YXE4uDsYS2nA7yibgbWQkPek6AderTSycuwOvYDe859yERO5cd2bx7jOkvL2S2LsGY+wwyKljw799r3cdoHjBCty6dsC7TSd8e/W37ek2RGybSpgbhgA0XVlkU5EGRYAnIdklPP/Oatv9n9w+kOx69sF15wrJ/G0XxTtOETSiE8HPP4zM35fIvAI2zX4aufV83fP1ndtxx0O3u/Kl2MXGZ962/f+T6wY7LZjNotai3b4XjwG9kHq5Oru9+ZD5++J5dW+4ujfut1gwnDmHeHY/p95ZhVmjx79/IgFXt8Wna3Sr292FXDYibjSKPPBUPg8874O7R9N/Ydx2ldN+SoHN0pCVWBFVDZ+HTmvlgdvyiY2X0+EJ1wm4tsjAgvv+JryLH8pZk5x6HlEUyV66j8zfdhFw720YE2OdNnYl5qISin5YiqW4hMgpd7g0Zay5EE1mBHnTlQm2lBuRquQsmv6F7b79HSP4ZWrtddzLjmaQ+dtuNMeyCB3Xg5BXn7AVqGl3LpM1L31o+02UqZSMfWYOqeH114p2Nbet3YpvuR6oSCl7+8ZRThtbu30vJQsrMgu8Rzl/8doSEaRSVIltILENQSPAlJOP/Mwezn27BX1OKQH9Ewkc3AHvLlGtgu5kLhsR//CrEqIjZQwZ2fQ9fSOeLiL4Z63tYqXrIOP46oanZlVa4K4W8LIcHb/cvZ32wyMQJ41zasqV1Wzh7Md/oT6WRdATD1QUrHAioiii3bKbkiVr8BrWn5BOtzdJidbmwFpejsS96YIzBbkMpUaP2lOJj8aAxk3OnPduueg40WKlcPtJshbvxVSiI/zG3nhMvw1BqbigMMvJiFBEQQBR5GhkKKNferjJXkt9DD183Pb/6Q/d7tSUMo8BvS74eyUiDw2C0Ovx73895oJi5Ck7SP1yE8YiDYGDOxA0rONFmRCtNI7L4uqXnWvmvx8X8dXSpv9StLkzD791Btvt3FkeZL7Y8BScqi50Vwp4UZqG+fdsp9fUOMpHXe/UKmxmtZ4Tr/6BRCHF/9EHnJ4aZS4spui7xVh15URPvw9liPNz2FsSljINUq+my9V1C/elMKeMcb/ez6LpX3Drlxe6vI2FGvLWHCbnzwMog71RDb4Wvx4dsUgkVNpWo3ftZ/Dhkzx+502IUin3zr6ZcqWczV1dl07YGGY8ehd7H3qZI9HhbHNypzypl8cVY4HbgyzQDzHwegKuuh5Tdh7So39z4qWlSN2VBI/oRNDQjsh9m7a88OXEZSHiT75awJ23+BDdpuk7lEnV5/csz77nR3EDmphUUq6z8tDt/waxuXAPPC+llF/v/Ztr7utAyYDhTh1bn13CsWcX4durDbLrJzk1gE0URbTb91GyaCVew64mpNOwJukv3hT54LVhNZmw6sqReDfNeTueOceig+eIKdHh0yWKCQvuB8CQr6Zk71kKt55AfTyLwIHt8L93FoqYC8vVeqk1rHvxA0JLygD4bmh/jraJYnWfrk0yf3tRGI1M3L6fBUP60uv955t7Olcc8rBgCJtA8LXjMJw8i3b/dtJ/+hvfXrGEXt8N727RrdZ5A7nkRXznvnI2bNOxYINr625XRVJkQjCCJVTOqZ+CaD8ml7Pv+GPo1HDLs7y8QsDDIqUujULPOlzEbw/uZMQTXcjrPsSpY5cdzeTEK78TOa0/lu7DnDq2Ra2h6PslmPMLibrlHpfUOq+NpsgHrw1TcSGyAD+XVbOrzorXP0UiipxJLSDg1s+QBnhi0RgQRRGfrtFIe/Qj7PYkJDXUE+9yKpVlb3xm8+pYgdjcQo62iWqSuTeE31/7mI4ZuUixMn9QX8Qmen9buRBBIkHVPh7axxM2vhz5iW2c/XwDVpOZ0DHdCR7RCZlna691e7ikRdxqFXnk+QJefSqwyYLZlMcMJI3Kw+oucHB/KKhkHF/TOLeuXm/l0TsLCAmT0unpES4T8LS9BSx9bBfRD48hr7tzW7YXbDnOmY/W4TdrKpbO7Z06dvnh4xR9uwj3q3oQOfq2evt7O0p1y7up8sFrwpifU2G1NAF/PfM2ErHCoyRIZYS8/SyW4hIENzekvl61WkYSi4U/Xv2YzueybAJ+IjSIUS8/3CyFW+rDT62hY0YuAK/99Du/DO7XzDNqBUDi7oal+3ACug3DcCoV9Y5NpP+0naBrkwib2BO3RlQIvJK4pEV8/lI1FotI53FN40b3n68m5skSBECqEwl/R03WM40L3DLoRR6bXYhfgJTOz7qukMuZ7bkse2YvbZ6ciE9350Vwi6JI1sLdZP/+D4EPzUbhxEpXoslE8cKVlO8/SviE6bi3ce7CozaqW97NmXamKc9A7uKubgCv/LCExJwC2+2+/3sKiZuy3ipx3lod++e+jOxf8ReBXwb25ulm6IFuL+uffcf2/y+HX31J10e/HBEEwRbhrhxbhmTfBg4/9AveSeGET+mDd8eGtwu+ErhkRby83MqzbxTy/Pv+TdInPOqxAoIWlttu69rJGi3gJqPIf+4twNNLqKiF7iIBP7Ehi1Uv7yfu+cl4d3SeG1q0WDnzyV+oj2YS+MScf8s1OgdDSir5n/2EMjaSNnc9jtTN+QEvte11N6flXR1jagaeLrYUO51JZ8bmXbbbNz16Fxo7O4d5a3QcjQ6nc1omuT5eDH/5YdSeLTcnOiEjiwBNRQlkK/D6TWOad0I1cKXkl9uDzM8bhk0gdOD1yJO3kPLflSj8PYiY2g+/PnGt++ZVuGRF/IMvS+jZVUn3Pi5uDiGKdOyfhTLrfLGKrIe9yH3It1HDmUwiT84pRC4X6PHiCJc1Mzm6KoO/3j5EwitT8WzrPIvOUm7k5BvLsRrM+D86B4mbc/atKlPHin9djmg04REU7zQBry7ate11t5SCL6LVivFMOsrbp7j0PIvf+tz2/3nDrmZnUt0ej/5HU5j3yQ+MeOkhMkICGff8gwQWlVDgxEWcq1j58se2/z89fUKLtMKvxPzy+pAoFVi6DyO4yxB0ew9z7pu/SP9+K5HT+uM/ILFVzLlERbyg0MK7nxfz1VLX7xl6ryu/QMCP/R6EvnvjhMtsFnl2biEWs0j/t0a6rJ3ooT/S2PRRMgmvT8OjTcM6ptWFqUTHsecW4xYdgGrWNASZc/Y9reV6in5Ygikrl8hb70Gfftap1nB10W4qi7ux0e3G/Bwknu5IfVxbi3pVjySS0nNQmM28dvPYOo+d+/taHlm+HoB1L7xPx09fAbgkBFywWlFYLACYJBLmD669eE1z0ppfXjuCVIpH32649+5C+YFjZPyymoyf/yZqxgD8+iVc0WIuiGLTlXV0Br26qsT+vd2wiiK3v9CwhiKNpcPQbFSnzRzaF4oloHH77xaLyAuPFFFSbGXg2yOQKV0T+PPPwrNs//IE8a9Nwz3aea1E9VnFJD+9kMBBHRCGjnfaj8Z4LouCz35C1SGesKtvQCJ3fs375koVK9q+gfx1KwgaPqZBFn7u8Y2YsnIJuO1G10zMYqmwRO2IzI7PzGHZa5/gaTACFQvZTUmJzHz0TtfMzUUM2X+Ubz7+gfFP38+h+Ojmnk4rDiKKIuX7k9GtXIVEKSPmjkH4dL18P9e/R/x3nyiKNa7uLjkR79xBKWblmlnwVyj+ga4RQu/lWto8UczRv0Iwh8vh37rP9lz0asJqFXnlP8VkZZgZ8v5I5CrXzHvPL6fZ/eMp4l+/BVW48yqlaU7mcOz5xUTd2h9zV+ekkImiiHbrHkoWr8Zv2jgCw883vm8K0a08h0fbjmhPHrX9deY563oddT2WtngengN64t67i1PmURXfMg3/PPIqZW4qtnZM4IF7am9s8uiS1Tzw50Zb5LlRIuGu+6ezyYV94J1N+7QMsv19KW3CojmtNB2i1Ypu90E0K1bjFulPzJ2DnOp9bCnUJeKXnDs9K8fMg3f5ukzAw18oIvQ7LQBJo3I5dCiy0eINFWL11nPFpJ01Mfwj1wn4ru9T2PfbWeLfmo4qxMdp45bsPcvJt/7E99ZJmLt2dMqYVoOR4p9+x5iaQfRtcy5qE9oU+dmV59Clnkabcsz215nnrGuPvbbXaDUZMaScJfCum5wyh6oIVisHHn4FAfDTlaOso0NaSGHxBQL+R6/OPHjPLS1yL7k2JBYLq1/+iGxfH6Y+didpTZSy10rTIUgkePTrjnuvzkgPrCf5iQX4X5VA1MyBKPyujODAS07EyzRWhs5yTX30thOz8fzHDFS4DUuGOxa0JYoi771awrHDJkZ9OgKFu2ve7h3fnOTA0lTi35qBMsh5+6j5G5JJ/XwD/vfOqEj9cAKmvEIKPvkReWQosTMfQqK4ODCxIXvWNVm09ljylWN7tO2Ie2y87a8z9slrO3/V+2t7jbozKShiIpDYGSXeEP586QObKGsVcmY/OOvig0QRBIHcAD/yvD0JKtPw/LTx/Di0v9Pn42rmffQDAhBeUsqTS1Zz7/0zmntKrbgIQSbD2mskIUnXYNm4ggOzvyHypn6ETuiBxEmxOy2VS07Ew0Jkzi/sYrTScWA2ypzzAWwnfw1Ee5Vji4XP3iljz98GRn8+AqWna3LZt395gsPLzxH/1gwUAc4T8Kyle8lauIeAh+9G4aR85fKDxyj8diE+44YRlHBNrfvq9UWJVxXDmizamu6zGg2UZ5xDn5WOMT8XU0kRFp2Gkr07EKQyNCnHUAaFUp52Go/EDg7tzdd0frNWQ87v8y+w9mt6jSXnDuLW3fnu6hnrt9ExIweo+H53+vilCx6XWCz8/tonROcX0u2jisf6/vdJBImkRRZuqQ+FyczwKk1OHrx7WjPOppWmQuLuhmT0ZIJ6DqZk6WJyVx8ibs4wfLpdfl0OK7nkRNzT3/nuvK6dM5FWdCVEFODIxhBMbRwLsPr20zLWr9Qx/ssRuPk4P1gLYOvnx0lenU7cmzNQBDhnz08URc59t5WirScJfPx+p3QhE61WylZsQLNlF5GTb8ct2jGrvqpI1mTRVv7fLSaewm0b0J5MRp+dgTI0HLfwKPw8Y1GG9kTu5okglSNazJjKyygWsynZ8ze5KxbjP3Aofn0HNqrsaU1zKjuwG23KMTwSO9Rq7YtmM+UHk/EZ79zStQGlal75Zbnt9vM3j71AmGev3MRTi1fZmpg898syXpk2DlEub8Ju5s5l1Qvv2f6/rmt7TJdpp7tWakYeGoTsnruR7T9Kyv/+wKdzJLF3X3tZNlpp/WYDRaPdCFxcjlUFB49EgIOpX79+q+b3X7VM/GoYHgGuyWPf8tkxjq/NpM0bM1D4O0nALVbOfLQOzalc/B+73ykdtKzlegq//g2LWkPs7Y8g83I8o6CqSFa32i06Leoj+1EfPUjR35vx7NCZiLbX4nVNHFJ57Z+Fm18o3rSFiEGUl+Rw5p/FaE8dJ+KmmTW6/OuismRrbSVca3Pxa8+cRBYSiCzAue1bBYsFk0SC3GplY1IiPwy7uuIBUWTDM/8jLrcAgQoLPdvPm/fHNn+uvCNIrFYSciuq0InA3a1u9CsSQRBw79EJVVIilg3LODD7G2LuGkzQsI6XVUraFSviIe8Wo+2lRHONO+nvBKDtpaFomuPu6D8WaPjxSzU3fDkUr2Dn792LosjWz45z/K9MYt+Y4bTgDavJQspbKzCXleP34H1OaSNqyi2g4OPvUSbGEjX6Nqf1/a7J3a7PzqR41xY0xw7jkdiBqE7X4R2W2ChL2s03lKTB95Cy/zeyF/9M+NRZDf7RN6aEa/HpvXj0697g+dZHgb8vMx6axc1bdvHAvdMBGHLgKF9+8hNy6/ktpHvumcbq3i2r61hjeG7+Mtv/F1/VA8sluB3gTK70SnASlRLJ9ZMJSMog6+cFFGw6TvxDI50aP9ScXHktfESRhKm5RHygIWFWIbIsEwiCUwR87XIdn/6vlPGfDsE3wvk/FlEU2fLpsQoBf915Am4pN3L8hSWIZive98x2ioDrk1PIffMzPK/tT8SQqU4T8KqIooj29AnSv/+MzF++QhEQTOcbniKu8wTKi7IwG3WNHluQSEnoNhlTWQllh/bVeaxZq6Fo+wbMWo3tPu9ufQgaPqZW13n151j05ZQfOo67E0V0/I5/OHrvswhWK393bGsTcID3vl5oE3C1UsE1rz52WQg4wNfDruZQdDgi8NSMic09nWanshKcdvve5p5Ks6KIjSTgiYfw6hDOwfu+J2/tES61FOuauKIscUFjoXO/bGT/9gAXzCDPs2J2Qu+OrevLefvFYm74bDABsa5Z4W397Dgn1mc5VcDNGj3Hnl2MKsIP1eRpDvfpFkURzYYdlK5YT8QNM3CPdX7zElEU0Z06TsGmNVgNBsI7XIv/wG5IpBVf55zDG8nYW2EFh3ZufNtViVRGTNexnN2yCO8uPWu1xmsKZKvP8q7+HPXRA6g6xDvNUlIYjXzw1QIEYOdjr9P33WeR6/WYVBUZF2OfvZ8Nz73Lx9cP4YMJI5xyzhaB2UxGSCA3PnUfcdm5GBWuiUe5lGitBHceQSaFQWMJjOtJ1ve/ULTzFPFzRyD3uXT3yq8YEZdlmeh8VY4txUYU4NCuUCwhjkeN7/lbz0uPFzHu/YEEt3VejnZVtn5+nOPrnOtCNxZrOfb0Qrw7RyEbPcnh3tWi2ULx/GUYTp4lZtZcFH7OqxhXie7cWQr+WoFFpyOy43D82nRFEC6cd0BiReEYn+gkcg5vJCCxN3JV3fv7Jr2GwpQ9Fx3rFRqPgIA+8xxukTVHuDamjGv15xQf2YnP2KF2P78+/nn4Vdt33SSV8tsbn9LnVBrvj7mW9yeOJD0kiMR5bzjtfI3BajBiyszBlJGDKbcAc34RltIyrBodot6A+G9lOUGhQOrhhtTPB1lwAPKIUJRxUcjCgi9YWEXlFrD16bd5ZfL1fD1qEMdjau56daW5l6VeHq212KuhiAon4ImHsPz1Owfv/Y6Ex0fj68Quj01Js4q4IAg/AUMBDyAH+K8oil85+zzeq7XE311ku6hZ3AUOHgp3OIAN4MgBA0/NKeS6N/sT0cU1fW+3f3mC5NXptHnzNqcJuCFfTfITCwgY1A5hiONlVK1aHfmf/YwgkxEzYy5SlXMao1RiLMwnf90K9NkZBA4eSYRvz1oXHXKVJ6Gdh9RrkVcV7sKUPTUeKwgCHgnt0J09VauIN6ZxStXn6LMzsZSWoercrkFj1MbTv67AS28AKjp2RRSVEFVUAsB9qzbz/sSRTjlPQ7FqdeiPn0F//DSGlFTMufnIQoNQRIYiCw3CN7YbMm8fpO4eSBTKCq+QKGI1GbHotJjLStFZctEnp1C6fD2i0Yhbp3a49eyEW8e2rH3hPQTguYUrmT+4HzpVzdtCrY1GWgEQ5DJk103CNyaFU//9laARnYiecTWC9NLaZW5uS/wN4A5RFA2CILQHNgmCsF8Uxbo3IRtImweLgIrgHWOYhKM7wp1SeerUCSOP3FnAsBf6ENvHNaX+/v76BIdXnKtII3OSgOuzSzj6xAJCx3ZH7Hedw+OZ8grJ/+Bb3Dq3I+yqCQ5b9FWx6PUUbllH2f7d+PUfRNvetyCR2ec9qbTIK/9Wp6pwByT2xmI2YDEZKS/NpfRcss0q95GHU5iX4pwXVAMFx7bieU1fp7xvvU6c4e51W223hX//ARS7uzHk1UccPkdDMOcXott3hPIDxzCmZ6FMiEHVPh7/EZNQhkUisTdWwj8QAC+AzhV3GYsLKck/gnr1Fnp98QvupopCTVZBqFXAodW93MqFqJISCXrmITQ//cTR//xK26fHOS1ltyloVhEXRfFo1Zv//osHHBdxUUSWZsEcK+PgySiURw147TZQMMs5TVPS08w8MKOAR57zRTsozCljVmfX9ykc+j2NuLecl0amO1dI8pO/EXlzP8zdHM9HNqSkkv/pj/iMG0ZwwjW2+x2tfy6KIuoj+8lfuwz3uHZ0GvcYcveGfXaVFnltVBV5ucoTqUxJxt4V6ArTKc2oKMoS2nkICg9fLBllDX4N9mAp16Hbe5jwVx91ynjvfvPbBbcrU8f2JMQw+an7nHKO+rCUqtHuPoBu5wHMhcW4de9IYO+huE9JcGqDG4VfAMF+g6DtIJa/dP79GxcZhj45BWWHmrtbtbqXW6mO1McL73vvhq0rODTnB9o+PRbvzlHNPS27aG5LHEEQPgVmAm7AfmClw2NqLXTtnoVggIMHQrH6yTF0VGLo6Jyc7fxcC/ffkscdD3ijHeSai8Gen0//WwvdeZXYtGfySH56ITG3D8LYwfF5a3cfpPiXPwgfNw2PhA4XPFayexuFm9diNRoJHDKqQeMaC/PJ/XMxFq2ahIEz8AxpXHGY2va5K6ku8gGJvbGYjFgtBtwDomwiL5EpsZqMjZpDfRSc+Ru3Lu2d1nZ08KuPcvreZxHECgHXKuTc8MQ9HI+teX/YWYhWK/rDJ9Bs2Y3+xBncuycRPHA07rEJDgdLVqWmxeGtOzYj+zfKWCeXs3PoVajnLwOpFK8RA/Ho3RVB3uyXulZaOIJEAoPG4RPQjhOv/ErkLf0JHde9xeeUN/s3WxTF+wRBeAC4ChgMGKofIwjCbGA2QGhE3RcExRkDHYfk2VyI7cfnk7zFCeHn/1JSbOH+W/OYOM0TYcxgp41blX9+O8vun04R/9Z0p+Uyak7mcOy5xbS591r08Vc7NJYoiqhXb0a94W+ibrkHVWjExcdU+2vXuBYLRTs2U7x9I/5XX0t0+EDMxnK7g9OqYtJrSN36q82irtz3rmscucoTqVxB9sG1RPYac/440eqSxh+ixYJ6/XaCnFCMpO/hE3jojWzo3Zk+bz/NG98tJCUijLemjHbCTGvHotGh3bob9cadSL088OvSn8jrbkWidG5MRCU1ZQI8veYP2+Nj7v0PQf4BBN7VH23KMQp3bKJk0So8r+6Fx4BeyEMCXTKvVi4f3Dq1Q/7kHHI//wbtmTzi5gxHIm+5tQaaXcQBRFG0ANsEQbgVuBf4sNrj84B5AEldFLXqQtC8UiJfKzsflRsgIXltSG2HNxid1srcWQUMGOKG9zTXVLU6+Hsa2786QeJbtzqtG5n6WBbHnl+C762T0Mc71olMtFop/vkPDKfSiLltLnIf3xqP8+tzNVKFwu6IbUNuNjl//IpE5UbS6LkovSoi22sLOKuPwpQ9lGYcwyeyQ52Ba9WpKbLdYtJfJErVLUJ7tg+qH6M+egBZUAAKB63kdmkZLHj/G0Sgf+TjZIcFcufDru33bcorRL12K9pdB3Dv1oHIG2aiinC9+7GmTIAsb18CtRpOBYeQ5V/xvREEAc+2SXi2TcKQn0vhye3kvvkZsgBf3Lp1RJWUiCI6vCLlqIkQRbGiwUwlgtDirbwrLZK/EllQAP6PPYj25x9Ifuo32j0/Abm3axpvOUqLEPEqyKjYE28wieNz8DpwvrVi0SgVqV84L9jMaBB5bHYB8W3lRNzrvFSgqhxdlc7mj5NJfNN5/cDLjmRw/KXf8Zt5E25d2js0ltVgpHDefESjkZhbH6gzAt3eiG3RaqVo+0aKd2wicOj1RAb0veDCVjXgzKTX2G2NV9/vri/IrZKaItulSndknhfux1e3CO1pn1r1GL/+QyjYswFfByPFrzpynPnvfWsLYHv/6wXc9Oz9Do1ZF8b0bMpWbkSfnILnoL7E3fuEU0rp2ktN36thjzxf53OUQSGEB92A2G88utTTlGYfpui7RZgLipCHByMLDUYW6IfUx6uigYZKCTLpv6mLIqLFimgyI5pMiEYjVr0RUW/Aqjec/1uux2owIhoMFY8bTRXHm0yIJgtYLLYOccB5MZdKEWRSBLkMQaFAolIguKkq5uHhjtTTHYm3F1IfT6S+3sj8fZH6+yJRKV0isNXHvJIj+SVuSjxvvwPLmiUcfugnkl6bjCrMt7mndRHNJuKCIAQD1wIrgHJgGHDzv/8aRNRjhTYBF4GMp73Jv9t5+doWi8izDxXi4SmhwxPDXbJ6PrE+i7/+d5iE16bhFuWc/OrSQ+c48coy/O64GbeObR0ay6LRkv/hd8iCAogaM9MpFdiMRQVkL/0FiVRG0uiHkMgU5B7ZZBPaSvd3ZcCZVK6w2xqvvt9dX5BbdaqKfnrGVuR+59MHzVoNVqMR/0EjLrIM6/I8VD1Gd+o4iCIqBxZWqnK9TcAB9BKJywTcmJ5F6R9/YThzDu8RA4kYepPLXOb2MuLIftyMRnbEJZLn41fvlocgleIR3xaP+LZwdUXmgyEvG1NBHjqxAFN6FlZtOVaDCavegKWkFKmPNxKlHEEmQ1DIERQKBJUCiUqJ0uSJxD0AiZ8KiUKJRKms+KtQIsjlSGRyBJm8QqQlUpBILrh2iFYrotUKFjPWfwXfatRjMRiw6sux6LRYdFr0ulLMOXmYi8uwFJdiKSqpmIdChqWotGJBdU1f5JGhyIIDHMpyqC7aV3okvyCRILtuEmGhf3H44Z/p8PKNeLZ1TldHZ9GclrhIhev8cyrKv6YBD4miuKzOZ9VA/nQPDPEyAhdoOfNBAPquzms6Iooibz5bjLrUyuD3RyKROl/AT2/LYdWrB0h45SY82jjHe1B6II0Try3D/65bUXVwrGqauaCYvPe/xq1rEmF9xjpeFEYUKTuwh/x1y/EfOIzosKsRBMkF1i9wQfpX1b/OpqYAuKqib8zLxrvL+YtY2YHdFG5eS9DwMTbXuT2eh8pjRFEkf/c6vK8b3OgFoadGw5G5r5yvfQC0+9L5xVtM2XmULF2L4VQq3qMGEXnddCRNVAWtri0KqcXCB4t+tL3+Ts+9jbmBAXRSlQr36DYQ3YbqS/6i7RvIX7cC/279G1wDwF4EiaTitySTNWhBJIoiFo2a8uwM1Af2IIZ6oP17H8bMXKxlauQRIShiIlHERqKIi0IeFmz3b7a6aLdG8ldg6T4MHzGM5GcW0vapsfj2iG3uKdloNhEXRTEfaPS3Q3VYT/vx+ZxYGkR5VxX6riry7nV+tbRP3y7l+BEj130+EpnC+ftnqbvzWf7sPuJfmIxnonNWeCX70zj5+jL8Z09H1b5RuxM2jBk55L//DV4jryGkfeNLmFZi0ZeTu3wh+twsAmJ7Eubfw1ZxrSaxrhRWR8qn1kX1ALjQzkMuEHWZ0gN9VjpBIyfYntOYCm1VKU89jaVUjXufxtcqP1xNwBO+eK3RY9WEubiU0j/WUb4/Ge+R1xA5clqDu7k5Sl1bFB/N/9r2+k8HBDdYwOvD0c/YlQiCgMzLGy+vJLzaXth73mrQo8/JwpCdgeb4acpWbsSi1qKMj0bZNg5V+zgUsZG1Zgy0inbtuPfoiMTDjZNv/Ej8QyMJGJDY3FMCWt6euF2Ev1REyDdaBKD9hHwOHonA6uH8Kju/fKNm/epyJnw1AqWH4+VZq5N5qIil/9lN3NM34JV0cYR3Y6gQ8OX43z0DVbs4h8YynEol/5Mf8btpDIERjl/MyjPSyF70Ix4J7QmO7knmP6tQuHvbBLq6WLtKuKtSGQDnFZaIxWywCXilF8AvtiuiVbzAnd6YCm1Vyd32J/LoCKza8kbvZb4+YSTP/r4GEYj78g1wUoEda7mBslWb0Gzaiec1fYi7/ymkbs1TV7o2IZWbTFx76rjt9oR7nJNjXxVHP+PmQqJU4R4Th3tMHJVRNWaNmvL0s6gLUyj6YSnmwmJU7eJQdW6HW+d2Tm9929JwZuyAql0cgXPv5MyHX2M1mggaklT/k1zMJSfiqhQToYfPB7AVX+/mEgFfuVTLT/PUTPpmGB7+zrdAck+UsnDuTmIfHYtP12injHlewKc7LODlh49T+NVvhE+4BY8IxwLiRFGkeOcWirauJ7bvjfjFdsGk1yBIpC5zkdtL5fktZgPZB9YhlSkv8AiUnjuKe2y80+IgdGdPYc7Jx3g6DW2byAZbPY/9tpz/TRnLl2OvJVit4aMxQ5wi4KLVinb7PkqXrkGZlEjs7EeR+zTvxb02If3mh89s/9+U2B6T3PkL7MsJmacXXh264EUXuLpC1HVnTlKakkzp0rVI/bxx65aEe89OyCPDWnzEfENxdnCeIiaCgIdmk/rBPESLSPAwxzJ+HEW41Fqx9RIEcS8VG+rnXvGlcIbzO4b9vamcFx4t4sYvhhCU4PzI28JUNT/fuY3h/+lCbtfBThmzdH8aJ5wk4NpdByj+dTmRk2/HLSrWobEsej05f/yKqaSItgNm2FLHWhq1FYY5sesHPBLa49Ojr8PnEEWRtF8+xq1PFzCaGmwZHHjgBfx0eg5GhfLgXbeQGhHs8JwADKfSKP7lD5DLCB0yEbcI5ywqK3G0el91jr34iK0SXcfn3sZ6hfcLdwTRaqU8PZWSzIPo/jmCIJXi3qcrHn27IQ9zzveruXFVmpwpK5fC9+cRc+cggoa6Vsj/HvHffaIo1hhdeMlZ4gCiFI5sCMEU6/wAm8P7DTz/SBFj373aJQJemqVj/j3bGTQnyXkCfvAcJ15f5hQXunrTTspWrCf6lntRhjhWTtaQm03mgu9wj0usqHkudf7Xrar4AvUWdKmNmvbdrRYz2jMnCb7OOT2pdadPYNFo8Brcr8HBgUfvew5PQ0XVuC7pORiUjguXpUxDyaKV6I+mEDRkTJ3tVuuiPpG2J/2uIRwPDiMoL5s3vLwx6sudsjC4UhEkEpv7XbxqAvrMcxSn7SPv7XlI/X3wGNALj77dkLi3zBxpe3DVPr88PAT/uXeR+v48JAoZAQOd08CooVxyIm5Vwv4TkS6poJV62sSjd1U0NIns5nyLUVOoZ/7d2+gzPYHiqxyvWw5QdjidE6/+G4XuoICXrdqEetMuoqfPQeHvWGWrsiMHyFu5mKAR44j0O7+ArM3iren+6vfVdEzV/Wug0X3Eaxq7LOskyqBQp+RBi1YruVv/xHf8iAYL+Pw3P7MJOMCrE0eQHdj476dotaLZspvS39ficVUP4u590qF0sfpE2p4gsYZY65NnP8xVX7zDV/m5BB3YfUnuXbdEBEHALTIGt8gYxKsmoDt9gqLjOylZvBr37h3xHHIVyrhLo554U6GICCXggTs588GXSNwU+PVqXIloR7jkRFzfVu4SAc/PtfDAjHzm/McHkwsampSXGfn1nu10HB2FbpjjncMA1MmZHH/5D/zvnOZQGpkoipT+vhbdvsPEzJiD3Nu38WNZrRSsX4n66AHaDZuNu9+F1chqq5xW0/3V76vpmNoi2isx6TXkJW8HQSS4w9W1Wug1jZ2bux+vTt0a8S5cjDr5EALg1rNTg5733Ttf0j8l1Xb7y8H9+GpM44sNGTOyKfp+CUgEom+9F2WI4yWJ6xNpe4LE7LHWf/zqQ3bGteWTa0exceb9BP0r+q04H0EiwSOxAx6JHTAP0VB4dgcFX/yC1MsDr2EDcO/VpUmr3bVkFNHh+N97GylvfU+Hl2/Aq4PzynzbwyUn4q5AXWrlgdvymTjNE9OIwU4f36gzs/CBHcT0DsI8YSzOWIJoTmZz/MWl+M2aiiqp8akOoihSsmAF+uNniLn1AYdck5bycrIX/4hFp0PlHoBQQ8vQ2nK+6xLj2v5CzRHtJr3GVjK1MGUP2QfXAiCVKWu10H2ik1DnnMYnuiLa1GLSoz2ZTPDI8Q14B2pGNJvJ3/In/tNvaJAVHlJYzJDkU7bbZwN9eXV641z7oslE6fL1aLbsxnfiSAJj+zutZawzIrnrWwgElZXQOyOVXhmp+Ok0vDpmUqsF3kTIPDwJ6TSc4KShaE4mU7hlEyWLV+M1YiCe1/RBomyaugEtGWVCLH63TeH4iwvp9M7NuEX61/8kJ3FpdT93AQa9yKOzC+jRR4n3NOenNFlMVpY8thu/aE9k029wSuSn9nQex55djM/0ybh1bvw+jGi1UvzjEgyn04iZdp9DAm4szOfcVx8g9w9EIbijzkohY/fyi46rFN36XOmVx1YKcWXJ1erPrYlKqzrv2DYsZgMhHQcT1m34RQuHSrE36TWUnkumNOMYpeeSASg6exD32Hhkno4HTuaf2YYsOABVUsO8JaXuKrSKioXQ0fAgBr/1VKPOr085S/YL72PKyafN7McJirvaqT3fnUHlQqC272BlRLoAZPraf4E0azUUbd+AWatxxjSdSkueW00IEgle7TsRe/McIm6cieHkWbKefIuylZuw6i/qW3XF4da1A9Ezr+bYs4swleia7LxXtCVutYo8/0ghvv4S2swd5vTUCqtFZPmz+5DKBTzvnYIgcXx8XVoByc8spM2c4ejbND5HUbRaKfp2Eeb8ImJuutehPVHtmRSyF/9I4JDriArqR3lkLhm7BSL7jLXr+XU1J6npsfpajNrSxkxGW0eymizwqmNXt/JzU3cScM1wu+ZfFxZ9OaUrNhD8iP0NSZTl5QSWqskMCaL3209z96pNvDv5+gaf22owUrJ4FeV7DxMy8ka8kro0eIyWgI9GQ2JBPlARkf59/8F2P9fZQXXOxBlzqy2WoKH3NxS3iGiiI27HkJdD3p7VZD31X7yvH4zX4Kuu6Lavpk7XEpBdyvGXltLxrZuQKFz/Xlyx77Yoirz7SgnFhVaGfuj8cqqiKLL2rYNoCvSEvTAdQeq45VOeWUzyU78Re+dg9G36N35uFguFX/+GpUxD9OTZdVbiqu9HX7JvJwUbVhI/cDpuXqE2N3bi8PpFq1KMK13YNeWM1+RCr68jWaXFbtJrkMoVteaiV2+SUjmWtiAds0aNR2KHGp/XEHIPrMWtS3sUUfbFWbTJyGLjCx9gBfRyGUmfv9YoAdefOEPRtwtRJMTS5u7/IHW/dDtQrf3ofDW67/tejbUBXoSWXHnNGXOrbSHQ0PsbizI4lKjRM9H3zCJ3x5+o/9qO7w2jcO/T9bLLN7cXydDxyDO+5cxH64h/ZJTL34crVsR/nKdm9zY9478eicwJ6TrV2fr5cTIPFhHzxkykSseLURjyykh+cgFRtw7A0O6aeo+vLTdSNFso/HI+Vr2B6BvuRCKvez+rth+9LYDt2CE6jJyDyifogtrn9kSH1ybG1dPGLCYjece24R/XndJzyXWKflXqK9da2+OZadvw7T3AYZezsagQ7dY9hL38sF3Hu+l0bHzhAwRACqhM5gaf02o0UbpkNbo9hwgdNQnP9g0LpGtptM9Mw8dQ4aq1Am9ed0ODnt+SK6/JPDzx7tanwZZx1YV1bQuBht7vKKrQcGIm3oUu9TS5a35H/dd2/G4Zj9LBNruXIoJEgvvNt1L0v4/IWbafsPE9XHq+K1LEV/+h5dfvNEz+bjgqb+cHZexbcIajK9OJf3smMg/Hq70ZizQcfWIBYRN7Yeps3wWppipFotlCwbxfEI1mosbfgcSOSlc1/eitJhM5v8/HXFZK0sgHbC7thjYqqen46rXMAVtgmq4gw3Z/5V55Y3LC60JXlI06+QCxgx53eKycbX/gNWIgUt/6U9S81BoOP3RhPfT4BtZDN6RmUPjVrygiw2gz+/FL2vqupF/qacyCgEwUeWzitOaejtOpXCTrUk8TOuFmu4S8+sK6pkVKbYsXVy9q3GPjib3tYQrSd5L/4Xe4d++I7w0jkXg0T+ne5kKiUuJ79ywy3vwYj4RgvDu6bjHTsqJbmoA9f+v530sljP1wEN4hzi9gcGxtJn9/dYI2r9yCws/xi6iprJzkpxYSNLQj1t729572GNAL38nX27oRiWYLBV/8gmi2EDX+drsEHC4OOLKU68j48QsQRToMvtuWv51zeCOAXYFnldQUqFZZy9wnsgMBib0JSOxNWNcRhHUbTmSfsUT2GmMT8Iy9KyhM2WP3e1IblfMvL83l5OZvEM1mNMcPOzSm9kwKxnOZeI0YWP/BoniBgItA/LzXEe1s9ypaLJQuX0/+B9/iM3YYUaNn1ijgjgRSNUcQllmr4V3grrFTOBUYzMqul187TO9uffBI7IA25RhlB3bb/Zyg4WNa5BYBVFiiQTH9ibvnSQCyn3sX3d5DzTyrpkcWFIDvjCmcfG25SwPdrihL/NQJI0/NKeS6N/sTnOj8jmdnd+Wx5vUDJL4+zSnN4y06A8eeWYRvz1i4ZkyDnlu1SpFNwC0WosbOQtLIXuCmkmIyfp6HR0J74tqNsXUfq2+PuiFUWuU+0Uk2Szuix/nFi1vnENtxFpPR1rSkroVDfYFwlfMvyzqJuaQIt9gEhy6QosVC7vql+E0ejURR/2Lp1OynLxDwhE9fRrSzlKg5v5CCL39FUCiIveMR5D6+tR7ryH6oKwLE6ou3kG/5i/xdW/hz+Bh2zHnSKedsacg8PAmdcLPtfbD3Oc4OhHMFUjc3IgZPoTzuLFm//4p290H8p09E6nXlVNhz69oBeU4HUt5eSYdXbnRKcHN1rhhLPC/HzIMzC3jsBV9i+zinZ3dVco6V8McTe2jzzA14xDtec9hqNHPshaV4xAcjHXVjo4MjKlzo8xHNZocE3JCbzblvPsKne1/i24+zCThUCGqlhewoldZ56bnkCyztqulglcdJ5QqyD6yr1xqvz2qvnL8QEYgqPIrwyTMcusDln9qKxNvT7sIuerkMKxUC3vmD5zAr7duC0e74h5xXP8G9Z2diJt9Tp4CDYxZcQ59rj+VeuTCoyQK9KuUYW3Zt4XVB4L+Z6Q2e76VEfel1zqSu99xV3ha36Da0uf0xZIH+5LzwPuWHjtf/pMsI6dAJmNXlZP++zyXjXxGWuEZt5cGZBUyZ4Yl2kPNr6BZnaPntgR2MerYbOZ0dbx4hWqycfG0Zcl93FBOnNl7ALRYKv/oV0Wis2ANvpICXnztL5oJvCR45ngifi4M0HOn3XVu5VYvJeEFut73V2mqivuPkKk8C2/Yle+mbRN8116GLqVmjpnT5ekKeuLvez+2RxX/y9fBr6PTpK7hpNJhlMkyq+lP9rOV6in5civFcFlG33oMq1L42to5YcA19rj2We11BVl/98hVS4ClR5I4W6jZuSpxlQdf1nrsyHU8ilxN+1QR0YZ3I+vEX3Ht2wnfSdQiNvCZdSggyKV63TSfjzY/w6R6DRxvnGpGXvSVuMon8594CuvZU4DnV+cVctEUGFty7nQF3tSOn82CHxxOtIqfeWYXVZMF92vRGR0iLViuF3yzEqisnatztjRZwTcoxMn/9hrj+N9co4JVUt5TtpSYrubLKmlSmvCBoLqzrCJv7HC4uBlMb1ffea5rrufTNeLbv5HDN+Jy/l+HRvwfy8JA6j0u+91keXLmFnY+9AUC5p6ddAm44k07OSx8gUSloM+sRuwXcmdhjsdVnudclSrf+vRnpv90Vy2Vytrd1PNXvUqcuC7oh1GX1N8Veu3tsAm3ufBRzfhG5b36GubDYZedqSciDA4i5/RpOvf0nVrPFqWNf1iIuiiKvP1WMQiGQ8LDzi7kYdWZ+m7OD9iMjUQ+2P+isNkRRJHXeRvRZJXjefrvdq1SLWkvZ6s1Y1NqKcaxWir5fjKWkjKgJ9kWhV6XyIl2ybwc5v88nccjt+ERe2FO8uhA2NtCsJld8TffV5j6397zlpbmkrPuK8tLci55j0pVRsvdvAgY5VtxFl3YG/bEUfMbVPc7iVz/Gw2hCANwtFgRL/T9q0WqlbPVm8j/8luAhY4kYMhWJonnKXdojKPW5iOsa44m/zlf6G3vvY45P+DKgKQS2qdz6UncPosbfgXuvLuS8+jH646dder6WgrHjEOR+nmT+utOp417WvoyvPiwj5biR0fNGIZE5d71iNVv5/T+7CYr3Qpw0zin10DN/3Unp/jT8H76vQfWIq6aTeY28huJflmHOKSB68t315oHXROUFVqJU0n7UHNz9Ly7oXymEFrMBqUxZY+62PV3ILEY9SCSkbV+EvjQXi7EciVyFZ3As5vILA9aqu8VrcrvXRsbu5bb0tNiBUy8YJ+30Ony69kLegHKe1REtFnLWLsL3pjFI3Grf0/7qva/pdfb8Hu8nwwbUG8RmUWsp/Po3rFodsbc/jNyvYp5NGaRUFWfkGnt364PFaMRqNGLWamzzv/boAeRWKwA6uZyMAOfHrzQXjnxeLTnfvTEIgkBIx2F4usWQ9cWP+IwbhteQq5p7Wi5FEATcp9xE9qvvEzCwHe4xjnn9KrlsRXzlEi1//KZl8vcjULg792WKosjq1w5gtYL7PZOdYuHnrjxI7qpDBDw2p8E5lZVpZO79e1KycCXG1HSib7oXiZ0BUtURLRYkKjfaDr2rRgGHC0ub1lYW1WI2kH1gne2xSuE3G/UYyvIxqAsw6srwjepIuEcHlH79yC84itVqxurhw4lVnxI3+Fa8w9sCF++9V7rdI3uNqTetrbIEbGSfsReMoy/NQ518kNj7n2jUe1VJ3vGNSH29cO9Ve2nTB5euZviRk7bbp4L8+O/N4+ocV59ylsIv5uPetxthvccgVBH8llxStCo1iZfMwxOpQlGxWFQobPP/cNGPtufdOnNOs8zXVVwqn1dT4hGXSMzMB0lf+CXm3AJ8p4xucXX9nYnM35eo6QM4/cFaOr1zs1O047IU8b079Lz7agmT5g3BM7DxNcFrY9sXJ8g5VkrMmzOROKEdX+G2k5z7YRuBj92HzK/hvasr08lK/1iH/uhJYqbdj1RVdw58bVZB4db1lB7YQ8exj6D0PG+ZVrei6yptmndsG9kH1hHSadAFbnH/Nt1R554hL3kLVrOR0JAetO99NxKh4j1MS99KRubfAMS7jSK03U0kb/uNzpOeQpBIL5pHbQFr1Su+Vf6/plKwqUdX4Nd/iEOWrKmkiLJVmwh5+v5af5QKo5FHVmy03d4fFcaEFx+qdUzRakW9egtl67YSNmYqnm0vrpPfVCVFq39XGipGtR1f0/yHPvgMCfm5TPpnJ8kRl1fv6pZcArY5UfgHEjtjLulLvqZw3nwC7rzpsg54M3cdinXtEfLXHSV4hOMVFS+7d+rsKRNPzSlk1BtXEZTQcEGsj0N/pHF4WRoJ78xE6ub4nmTpoXROf7CWwAfvQB7SePdK2dqtaHcdIGb6A3ZV6qp+YRVFkcLNa1Ef2U+H4fehcL8wj762XPAaI9PFCiGTSCtaf4qiSOHpfWTuW4m7fwRdkm5FrckiLLSHTcABwkJ7YLEYbf9XyD2QqTzQ5Keh8gmusO7/bWpSOY/6GpsAteawl2WdxJCXQ9ikGfW+X7UhiiJZGxfjNezqOj8/hcnEroQY+p1KQyeV1ingFo2Owq8XVLjP73gYuY9fjce5wsVa0+Ku+nelqhjZ4yKuTbxqmn+unz+5fv6XZTBbc7nEm2vbpSFI3dyJnnIPGSt/IP+j7wm8b/pl2+JUkEjwnDKJtE+/xX9AosNVPS8rES8utDB3Vj4PPOGDqa/judrVObsjjw3vH6Xtf29F4e/4j0F7Np+Tr/6B/53TUDhQY1izdTfqv7YTM2NOna0za6u5LIoiBRtWoTl+hA7D7kPudvEYDSmp6h/fDV1hOv7x3SgvziZtx2KsZhOdEifj6xNbcYxfPEaTlrT0rTbBVsg9iIsditGkJTvnH8JCe+DmF4a2IIOcQxsozThWUbntX+u+vDSXjN3LiewzFjef89HgdfUmr8RqtZD6zx8EjRjb4MC/qmiSD2HOKyTovltrfDw6K5f7Vm7iyTtv4qan7uOZn3/ntVsm1Dqe4Ww6BZ//jHv3joT1G3+B+7wpqMlqri7CVcWoaPuGeq1ye8Trpt1beWbNMjQKJcMeeg5dI7eCWrmYS8WNL5HLiRozk4x1v5D/wbcEzZ112Qq5sk0Ufr3jyJi/g9g7B1/wmKlUR96awwSP7Izcp/6t1WYTcUEQlMCnwDDAHzgNPCWK4qrGjKfXW3nkzgJGjfPANGKw8yb6L7knSvnjqT3EPXsj7tEBDo9nyCvj2DOLiL33WgwJiY0eR7f3EKVL1xI9/f5aLbZK8bYajRRurrBiK2sui6JIwfqVaE4m02HYvbXuLVd1n1d2Kqvt2Mre3FarmfLCLMJ7jCJe3g1BkFwg0Nk5/3D6zGoAYqLOlyeter8oWCg4uQt9SQ4+kR0I7nC17byVNdatFjM+Ee0ucvVXUlML06yif5B5eePZvnND3u4LsJSXk7tuKQH3TKvR/eel0bLluXcBWN+pLev6da9VwEVRRLN5F6W/ryX0ukl4JXVt9LwcoWJRB57tu2AqK0EQJEjd3BuV6203osiLK5ciAP7lukpHToukIVZtS7GALyU3viCVEjniFjLXz68Q8odut6vq4aWIfMQ4cl98h9Ax3VGFnvd85q05TNpXmwGImNK33nGa0xKXAenAIOAccD3wmyAInUVRTG3IQFaryEuPFREaISX4DuevNMtyy1n44A5GPNmVvM6O79OZ1XqSn1lI+A29MCTYUVu7FsqPnqTop9+JmnYPisDaPQ+VK3H/QSMuSFOptMC1Kcl0GHqPLYI8L3k7CCLBHa4GuGAv3J4Sqx5B0cjcvAGBvt3noFSc39aoFGijUYNGk01U5NWEhVbkn1cKfGBARTpbWGgPMo9+hb40D5/IDrao8spFRGWwmso3uN5uaFXnbjbpKUrZQdSsOQ4FluTsXIYqKQHj6XPIQ4Mv6BaHKHJ47su2rIUPvl1IUr/uNY5jNRgp+nEppvQsYm57oM7P0tmYNWoKt61H5u6BIS8HQ142pqJCirasQ1AoQbRiKS9H7uOLKjIGiVKJX9+BaE8m28TJUevu+RWLbO9Tvocn5XW0xm1uindvo2jzWixGI0FDRtV5bEuxgF3lxnfVIkWQSIgYejMZa3+m4NMfCZoz47LcI5f6ehM6vgfpP2wj8T+jbfcHj+x8wd/6aLZ3RhRFLfBilbtWCIJwFugJpDZkrM/fKSMn08Koz0c5vTatQWPitzl/03NqHHndHS8WYzWaOf7CEnx7tcHat+6LQJ3zOnOOwnm/EjF5Fqqwugt+VF2JXxDEtnE1mhNHbQIO5yO+AaSyiotpVYGsKc2rUihlSg/yj28na/9aInqNJk7a5SKRrBTsoqIUiktOI0hkKOQV4leTZW4xGwnpNNhWrKWy3anFZEQqVxA7cCpmgxZ9SZ4tzc32+qotOCrnXKxJw6dHP5RBdRdkqQtd2hnKDx7Dc1Dfi7rFYbWSetdTF9RDT/q85o5kptwCCj79EXlkGLEzHmqS3G/RYkGXegp18kHKDu9HNBpQRUQT2uYq3OMGo/QOQio/L6Si1YK+NJ/Uo3+iPvwP6qOHsJZX1CRwWBxEkWn7dthuXtfCa6QL1f7WxaVkATcGVy5SBImEyOHTSF/+LYXfLiLgjilOiVqvrUVzs9FvJCXPvoUurcCWcib3cbfLAq+kxSxvBEEIAdoCRxvyvBWLtaz+Q8uk753fF9xqtrL0P3uI6OKP/rrrHc4FF60iKW/9iTzAE9moGxs9jikrl/yPvids7FTcY+LqPb6mlXjh5nUVvcCH3ntRLrapXIOuOBOf6CRkyoovuk90ks0Crp7mlbF3BVaLifKibAyaIrp2mE5JdiqmUJ1NoIELXOmBAe1JOb2K2OjBtn3xSoEPDGhPWvpW/H3jEc1GInuNttVqP794UJN9cK0tT7004xheofG2BilVj638K1d54uYfRu6pvwkZNYGi7RsaZUVYTSayVy3Ab9p4lG3bICjktjQ/gDOzLxTwXm8/CTVY/LoDyRR9twifccMJShjo9GJE1SnPSCN/3QoMBbkofPzw6tiNdiPuQZNzus7tEUEixc0vlIReN1HgvQuNpBT14X9wj2vr8Jze/e172/8PhUehcWvZLSt9+1yNRKGwS5hrs4BbipvdUVy9SBGkUiKvn0Hagk8pXboW3xsbb/RUUlOL5uZE4qYi7MbepP+0nXbPjG/UGC1CxAVBkAM/A9+LonhRdXxBEGYDswFCI84L9f7dBt5/rYRJXw7BI8C5LjhRFFnzxkEAVHdMcsoFNnXeRkwlWnzuv7fRq0pzUQl5732D7+Tr8Yzq2KgxirZvpPTQXpJqCGKTqzyRu3miPppC6blkmwVbuf+szjlN7MCpF5RDNZWrKUjZg1doPKHeHSgsPklq2gbgvEVtNGlJPr6YoqITtvu7dZ5BWvrWC6zvmKiBtvtKA5Pwjmh/QbOVyv3uzH/WVNwhCrUG3VXfG7eYDKTuXkzI6BtRH93faCsi98Bq5OEhuP/b4KTqxSD53meRiv9ODej84fOoPS5c8YtWK6XL/kK7bS+RU+7ALSq2QecH+4VAFEV0p09QvHMLurQziCYjIR0HEdXnfH66Z5B99f7lKk/CugwFIM3Xn9zlC4m+c65DFtKoY+dbVN5ye8vPC7fHNV3fZ1OXS97ez7UlLAQcddPb8xokCgVRN9xJ2nfvIwsLwrN/z0afD87X1Ki66G5urD2GUrroTXTnChsVb9XsWfVCxRX6R8AI1PgrFkVxniiKvURR7OXnXzHl9FQTT9xXwKjXriIo3vmpZLt+OEXmoSICH5uKIHX8bcpaupeSvWfxvusOBHnj1k5WrY78977Ga2h/gqL6NWqM4t3bKdmzvcKF7l7z+1a97Gllj2+VTzClGccuKHGqyT1L4am9hHcfia81gDNnK4q7xMeNumCvu1LA/f3b2e6HCvd69WONRg1+vvHoxDL8YiuKp1Qv8xqcNIDIXmMIThpQY1/ymkg9vQZVVCzK8CisRiP+g0Y02IrQZ2ei2bIb/1tqXjWXuqkwSwREYMYD0y8ScKtWR/6H32M4cYbYOx6pU8DrqlFeX+lT0Wql7PA/pH72P/LWLicotCudJzxBZK8xhHZx3PUZHTEIQSqj7PA/Do2zOyaObC8ftsW1xSS7PAKY6vts6nLJ21sj3Vm11BuDs7qd2fsaZB6eRE6+k5IFf2JIzXDonJU1NVqEK/1fJColYeN7kLWwcZ9ls1riQoV5+zUQAlwviqLJnuepS608dHsBd831QXKV84OATqzPYs9Pp2j77kyHc/gACrenkPXbbgL/c3+Dq7FVYjWayP/oe1Qd2xLScVi9x9e0yi09sIeibevpMOI+FB6+tT63ugVbtcd36blkAhJ7I4oi2YfWk3/8b7p1nIG3JBJjaMU+aWXKWCXZOf/YBDyp/Y0XPKaQe9RqrUtkCnwiO2DSa2yeAMAm2A3pnKbJT6Ps0D/E3vc4ZQd2U7h5LUHDxzTIihEtFrJW/4rvpOuQ+l64APr8g295ffJ1XPXus2A0gkwG1SxUY0Y2BZ/8iFuX9oRdNaHe9LG69hxrc2WKVivqI/sp2LwWqbsH0V1G4xPZ3uZJsjfDoD4EQSAkph8ZG1fjkdC+cdagKDJzln3Wd0uwPO2lPjdzXS55e13Uzbnf7qy98Ia8BmVwKKHXTyL3058Iff5BpJ4te9uloVh7XkvhM28RPXMgioAGluR10Zzs5TOgAzBMFMVye54givDE/QX0u0aFZOxgp08oO7mYla/sJ/GVm1AGO27hq49nc/r91QQ+eCeywMbV5hatVgq//BWpnw9hV02w6zklu7dRuHktVqORwCGjUB87RP5fK2g//F6UXg1z2VQVTLfOIVgtZlK3/Up5cQ59utyDUlnxPlUV5KpU3euu3BOvKuSVVIq9r288RpkJz6AoJFIZeckVngCfyA6N6lluNZs4s3MBgdeOouzAbjzaVmxDVF487BWI3OT1SD3cL3LFLX/xfbqkZzP80HHGPDOHY3EXZzBo9xyk+Kc/8Js6hsBI+4JWPNp2RJd62jbfqlR3ZYqiSNnhf8hfswyZtw9tet2AV1hijdtAlRX1LGYDEd0bts9YNZDRpCvBXFJE6d4dDW4e896C7/AwGNgfHcMX14zAWo9LvqVEettDfW7muh6310Vd33GuXPQ4awFh72ut+lrce3Sk6NuFBM6Z4fIYkqZE6ulB0JAkcpbtJ3pWwzKWms2dLghCDHA30A3IEQRB8++/W+p6Xm6WBalEIHbOUKfPqSy3nEVzdxL9wPV4tg1zeDx9dgnHX1yC74wpjS7mIooixfOXY9WVEzHiFrv3H8Uqf7VnTpK7fBFth9yJm2/jI7KhomHJiTVfoM1Pp1vCzTYBr4tKcc/NO8TpM6vJyNxpK/Si1eWTlr4Vo0lrc623TxyHoSyf0M4VP/BK935kn7F1th2trR1q6pm1KIKCsZSXk79uBdqTRy/o1mSPW8+Qn4t6zRb8b7vhgovHFx98S5f0bKBiReyr017wPNFqpXjhSkoWrSLqlrvtFnAA7cmjaFOOoT1Zd6ynPiuD9O8+JX/NH1i0agIjuuId3rb2i1xlInYjErKrdoALbNcPqZc3ygaWR5VZLIw6doikMycwbFqLsVxb73OaoosXXOgqrs1t7Cx3sitxpbu9qbqdVVL1tYT2HYe5qATtlqbfRnA1Qt9ryV19CKvR3KDnNWeKWRr2ZWpcgFZrpd9rw5zelcyoM7PwgR30viUe/dWOR92aNXqOPbeYyKn9sHS7uO61vajXbMFw4gwxtz7QoJ7gfn2uRqpQoAiNIHvRTyQMmoFHYOOrwlXkj2+jJO0wErkCfWkuWTn7kEoVtVrWlVRGpVeWVAXIyNxJatoGCotSKCmpaEVYGdh2rGQTfjGdbS7/Sk9AZXoZ1JyjXlMOuyYvldIDe4i67V7Kjh4goIZ98PosC9FqJWvNr/iMG36BN+XJX5cx6tD5OMzk0CB2dDrfstWi0VE47xdEi5XYWQ83+KJX37wMeTnk/D4fQ0kh7hExBMb2QCJTEZhYt9AFJw24qN69vVQNIpSrPFGFRYL5/EXHHgvwyx8/RwC+BZ4Agg7sqdcia6qSpVUtfqBG6785vQL2WtiNtZZb4rZF1dcikcmIGHMr5374GFVSIrKgxncebGnIw4JxjwmgaHsKgUPsLzvc7IFtDcUn2huVl3MDYKwWkWVP7yW0gy/lo653fDyzhROv/IFvj1gsPUc0ehztnoOo/9pO1JS7kLrV3dCkOjIPTzzbdSJn6S+0uWoyXqHxtsdqs1jrejz36GayD65D5u5Ft4RbiI25luKSM5w+s5q0c1ts1nRNVM3/9vdvR0jw+U5fXp5hFwa2GbXkHd9OWNeL9/1r6jNe1+MWk4HTO+YTMvpGtCnJFG1ei0ShuOjiVJ9lkXdyE4IgwXPI+WDCp3/5g3vXbbfd3hMbwXWvne99bczIIfe1j5FHhBIz+Z5GXRBrm5dosVC8aytpX76HPisdL99ItCnHyD26BcBWtKe2z9jeQMCaqP5cQSpDtJwX8fosQLnJxFWpFYu2mUDItde7xLpurLVc1eKvzfpvKq9AdcxaDTm/z6/1/a36mhtrLTfWgneld6L6a1EGh+I9chBFPyxBFMV6nn1pIet7NbmrD9V/YBUuORGXyp0/5U0fHkWvNuF2l+OpZKIocvajdUgUUmSjJzV6HENKKsU//0HkTXfWWk61LszqMjJ+mkfQtdfjG31hp5yqLtGaqP64vjSfwlP78IlKIiliNDm5+wEoLU0FQK3J5vSZ1WTn1BypXOkml0oVFBWdoKDwOJER/YiPG0V4WC8sFqPNxX6yZAsBcd3t3revKlbVBebMseW4RcXildSl0RdeY1EBZSs24D9rkm0rQ2YyM3v937ZjSpVyJj33oO22bu9h8t6eh8+4YYT3n9io+ue1XRQ1p09w+v1XKDuyn7bD7yay1xii+k3AK/zf0r1CxUWtvs+4KvUt6urCqtehSTlmm2d97/O6D84XvfmnfSc8e/aj7MBup1/8GytGVQWjNiGs6f6mcLGXHdiNNuUYHokdanx/63vN9syxMb+T+hYXDcHe9zE46Vosag263QcdOl9Lw717EtpTuRjyyux+TnMHtjU7h/5I48T6LBLeux2J3PFiMVmL96A+kY3/Iw80On/WlFtA/qc/Ej7+FlShdVdjqwmLXk/GT/Pw6dGXyICLf4z1NTPxiU5CnXMan+gkyktyObnmC0I6DUJZYCQ37xCpaRuIjbmW2JgKV6K/XyKp52S2cqmVVC3uEhM10GapV7rVK3PCK3PKLRYjRfn76XjDfy4qmQo1u8trKwNbcu4outMniLnnUaBx7thKN7r39UOqdSgT+fnqXty6bS/Fbkq6ffyy7fjS39eh3fEPUdNmowpvfIne6i5bq8FAwYaVlPyzG9FkILTdQLxC2uAV0gaA6H4Tydi9HP+4itKuDWlYY08p3dowFOSjO3sKZVCITdjqep9DNBUXJxGYe9Msyv7eaLdruiGu3qaO3q78vKxGoy3y3JUBZTWNXd9rtmcboDG/k/oWFw0dy57vgyCVEjZ8EpkLv8etawckqpZbqrchCHI5Ade0I399MpE325dGfEWLePo/BWx47wht356O3Lth7uqaKNpxiuzFewl8Yg4St8Z9qSwaLfkffIvvhBF4xLWv/wnVEM1mshZ8i1tULDHRNQf/1ZeeVdnAROUTTNHZ/UT0HI00s5jTZ1YTG3Otzf1duQ+elr61wsL2bYOHe5BtnOplVBVyD6RShe0+qVRBYED7ClEXRfINaYR1HXZBeVU4Lyx1dSerep9RV8bZXQsJn3xbvX3V6yL/zDZEkwmv4RU15H3L1Hz26U/c/OS9PDNrMtvaJbCqf4VoWnXlFHz5K6LeQOztD9fZTc4eql6QtadPkrv8N9xi4ug49iFKzh29SJwrP7PKqnUNScFriOBXRRRFrAb9Rfn2dYntb937cNP+3Szu1hsEoUFi25Ij1CvnbzEayV+3AovRiNTJYu5I1HvVOTp7YVPf4qKxY9WHW3QblO3iKVu9Gd8Jjd+2bGmIHftRsGhJq4jXR0mmliWP7ybmsXFO6UqmPZPHqXdXEzDndmQBDXd/Q4UAF3z6E27dkgiKu7rhzxdFcpb/hkShIL7jxDq3BmqydCsJSOyNSa+l8PReInuNIU7SqdYc8Mr7qv6t6/7K/1ssRpuYx8UOJSfvIFb1cYI7DLDNoepfqHnxUf0+UbRyas98fHteZVdJ2towlRRR+vs6Qp64G0EiwUut5sDDryIAX777Ffc9cJtNwE3ZeeR//AOqpATCB9xwkfu8McFCMg9PfHv1J2/tMrQpx2nTdzI+kRWLutDOF9dGaKwQQ/2LutowaouRKBQXVR2rS2xfGD+VXC9fPh0yEmhYqlTlhd2jbcd6S+Y2RPCdEcxV+TrMWg1ShQLrv2Juz/ldMZ+65uhsnDluQ8cK7Tea1C/fxWvIVUh9HFs4txSUibEUl+gozyzCLaL+wL1Lbk/cGRh1ZhY9tJOrZrXFr3fjL/S28Yq1HH9hCXH3DUVZQ46wPYiiSNEPS5C4uxHWd1z9T6iBwk1rMBbkkdjn1npd+XXtmVpNRorP7ieix3XESSr20yvTxGqKQq/tsZrur7yvck88LLQHJpOOlNRVxPSfjCCpEMDGBl+lpW9CNJkIuKZhectVEUWRrHUL8BoxEHl4CFitHH7oVVsqxbCjKZj+7UFefvAYuW99jveoa4i4ZnKN+9+N2Z/VnT1F6mf/A6tIp7GP2QS8NswGLeqc05gN9adrgWP74JVo8lJxi4i56P6a9lVXfPwGn/80D4BPrx1VYy35mqj63lVe4LUnj9b7fjZkb9eZ6ViVc/Ttc3Wjg99clR5W337zpZhSJ/f1x71fd8pWbbL7ORa1lrLVm7Go7futNDWCRIJ//0SKtqfYdfwVJ+KiVWTZM3sJS/JDO8zxgvpWo5kTL/1O0LCO6BMabj1Xol69GWN6NpHX1S/AlVT9cZUe2EPZwb20G3g7UlntnbAqL94+0Uk1RnqbdGX/7oEPJl5Wc0/rqjneKadXsf/gN2h1+bUeVzVqvfI+wNZT/HDmMvzadMcz+EJBaKjQaPJSKd65mbAbb21UMFkleSc3YczMxWNATyRm88UdyT56oWL/e/l6in5cQuSUOwiKHVDreA0RFKvZTN6aZWQv+YmYXhNJ7DYFmaL+LYGM3cspzTjGuZ1La3zPqr+XDQl8q40i9SncYuMvur964FdQaQkJBfkMOnWcd3/7rkHnqOm9s+f9bEh0duV4lRZ+fWJlj6g5kkvtquj3mhYHVV9LbYuH5izxag8hXYeh3b4Pi9q+60RlExTt9r0unlnjsSZ0p2jnabuOveLc6Vs+O4auyID/Izc7JRL99Idrkft7IAxunPUMoNt/FPX67cTMfAhJA3opV/64jMWFaJIP037kvRc1NKlOXUFMZmM5J9d9SUBCTxJVF4p7ZZBat67XEhbuTkdzDGp1Gdm55yguOcfJlOX4+yde4G6vqbVo1X7iBYUnKC/PR6p0p8uU5y44X02lVuvCbNBxattPhI6dgty3cdsZUBHVX7pkNaLBhG7nfjIWrrxQwD98Aa0gpfCzn7GUlFXkf3v71DmmvS5CQ14O2Yt/RO4XSMcxj9rthTDpNah8QrBazbj7RdT4+dbWlrUx7neo+O5rU47j379+N/zP33wEVBSF+CeqTYPOU9N752y3cOV4Rds32OUCb8zefEtobFLTfnPV11LbfnRLb6kq8/bBrVdn1Bt24Du+fg9cS2yCUh1lu3iK5v2MWaNH5qmq89grSsSPrcvk8PJztH3/diQKx1969uK9aE/l4f9Y4yPRjenZFH23mMipdyL38W3Qc7279cGs01K6fzcJA2/FzTe0zuNNeg0Ws4GwriMuunhbLWZOr/8Wz+A2tPO6uOyfh2cBr78xi0GDhiKVyjGb9VitZgThdXbt3MdHH81nw8afgPOCXdeeeFFRCuXlFdZ7dL8bL/AeVBVwe0qtiqKVlD3z8Urqgmf7TnUeWx9ZGxfhcU0fZL4+vJiVe4GAd//fU5RqdBR8/AOK+Ggir59RYwGehl6IRVGkdO8OCjauInDYaCL9+zRogVmYsofco5sI6TQIXWEmIZ0GXfSe1dSWtTH74JVo888hUSpRBNbduyCgtITo0mKg4j38pW/DSko2JfaIlVmrwWI01lg0qC7sFf6GLhAa8l2rafFTPSitpnM2RaEdRxcvQZ2HcO7HT/C5fki9DaYqm6C0ZCQKOV4dwik9cI6AeoqPXTEinnuilNWvHSDx1ako/BzvYFO89yyZi3YT9MQDSJS1u6/rwqLWkP/x9/hNG4db+MV7i/UhSKRoTxwlcMgovIMv/KBrS9HKPrCOyF5jLrDyRNFK6rZfkciUeBs8KS1LJ/XcJhLjr8PDPYir+icy8YaxKFVyJBIZFosJqVSJIEiRSuW0a9+e//73P8ybF0/yUZPNaq+ecgbn98QD/NuyZ/9niBYTJm3xBcfkJW+viLQOS7yg7WltpKVvxFKuI2jYmAa/h1VRHzuEKTOHwNlTEeRy3jUYeGD7PgRg2PMPkJWeQ+E3v+EzfjhB8bX3/27IhdhSriNn2QJMxUV0GDUHlU/DG/pUCnNp5gnU2SlIpLKL3jNHRbs6OQX78erYrd7j1nz8pu3/n189tN4a6c2JPf2/yw7spqgRzXMa0tjEYjRiNRptRVvqorbvmr2i2FSV8OrD0cwDZVAI8vAQdP8cwaNvNyfPrnnw7hZD6cFWEQdAV2xg0UM7GfFEV/IT67ZW7aE8s4iUt/7E/54ZyAIdi0T36NONwPCGuzTN6jLOffcJbtFxRAf3v+jxmtzmtblQs/5Zg0FdRIhHW06fXYObWxDl5fmkAOPHPMLEGztw441jUCpVLF68FH//CvexVKogPz+fiRNHo9frWbRoGQ8++CQZ6WWkZ2wjK3ufzdqu3hglw5qCu384XuGJWMwGW7EWwFawxD0gvNYI+krKslIo3rWVmLsedmgf3KLXk7t2CQF33czcFRsoVan4/rpBDHj1UcwSSNl9GM2mnURMvh336LpdwvZesMsz0she9CMebZNo2/tWJNKG/xyrLtZ8opPI2L2cyD5jGzxOXeNWf++tFjPqw/uJvvPBWp5dQdfUM3iaKmoCWIEPho12eF61UV20qt4GHLLy7HE510ddYll97lKFgvx1K5AoFPUKWm3zacnpeDXhDJe9f8f+FG/bedmIuCGkI+qNi+o97rIXcYvJytLHd5M0MoL8Ho5bImatgeMvLCX6tqsxt23Y/l5ViucvR3BTEdqrcRe2rIU/YCrMJzi29hKkVf9WxWzQ2i7QZRnHKTi9l4iAHgQFdcRkLqe4+AwqpR+x0YOZMXMg7u5KlEoVJ0+e4MYbJ7Js2Qoiwv3Iycll4sTRnDhxnHbt2qNUCjz00G3Mnv0E/v7tauwfDlBccoa8k9tIGvswRWf+IWPvCqQypW2xEdzhaqQyJRazoc4iJEZNMae3/0zYDbc0eCuiOjl7/kTVqR17v1pAZFEJAD+OuJoMHy8Kv1qARauryP+uZ/8b6rduRFGkZNdWCrf8RWy/SfjFdG70vKsv1hKH39noseoatyrFaYdQhoSh8A+s6ak2Jhzaa2vEc+/UO5wyr9qo3rWv6m3Jv6IIjRM0e1zOjlBdcBsiaLXNp6XvY1fHkfe1chHk1ak7OasWYSkpu6hV8KWIIiYCfWYxFp2hzuMuexHf8N4RpAopTBnv8FiiVSTlv3/i3TkSc9fGd1HTbN6F/sRpYm97qFF76aUH92IqLSa820gC21Z0xTLpNeQd2waiQHDSgBrdp5UXZnXOaUozjmHQFFOcepCwwK6kntuAVKZAq8tHo80CwMOznE6dIwGRxYuXcuONEzl58gQ33DCeX375hWnTptkEfOnSP/H39yYgwJ/27Xogl9XcdtRgKOXIyYW0GXgzCg+fOvPBTXoNUpmyxoWIUVNC8pqP8OnRD484xxrW6LMz0e05yPzENkT9K+AA3TfvYvm6bag6tSNq7CyEBjSgqQ2LXv+v+7yQpOsfbHBb2Oo0JkCtLiu7tnGrPif7zHb8rxpc73leGjeFl8ZNAbMZs0FPWT253Y4g1vHXUUFztcu5+vyccb6W4iZvCqougty6dkC37wheQy/2Tl5qCDIZHvFBaFJy6zzOrquSIAiTgJ+Btv92H0MQhA+AMUB/URTrPkszcXj5OU5tzSHxvTsQpI7vxWX8/DfmsnI8Z85q9BiGU2mULF1DzG0PNKqamD4rnfw1f9B+xL24+Z1vl1q53w1QnHqA+KEzcfO5sO1o5QXZJzoJt4AICk7uIil+At4+0SgUXoSF9iAwoD0nrWY8PcMYNKgiBc9iMeHv78OyZSu44YbxJCcn061bNwCSkpJYsuQPAgICsViMSKUKevbswqGDxotc6FarmQOnFxDcYQA+Ee2Auvdqa3tMFEVObv8Oc1lpg6L5a0IURXI2LGGxtxcT9h223b8xyJ8//vgLv5vHEhhx8cW/MYE4hrwcshZ8h1tsHG17zkEic7yRT2P2uu0ps1p93MrnGDTFWNRleLa7uMd5VfqeOsGu+LYV+eAyGWW7XOverezaVymEVW83t6BVflc82nZEe/LoRd+Z5p6fPbSU7mY1zaPqIkh+7iyF+7deFiIO4JEQgiYlp85j7DUtFgNPAs8CdwmC8BhwMzCgpQp4dnIxf71zmHZv3YrMq+4QfXso2nGK3FWHCHp6bqMtMktJGQWf/0TYmKn1RvXWhFmrIXPBd8T0vfECAYcKgbaYDRSd3o++NI+M3csvcq1WXpitVgua7FMEJPRCqy3A2yfaJrgKuQfdu94OgL+/LxW2jFjRcjTMm19++cUm4AC//DKfiPAItDodFosRQZBgsWaTnZN2gYiLosjhnBUo3H0I7eJYL/j0vL+xGA0EDrkOn+59HLrAaI4fYWZOPhOq5JjudFcxUi4nespdKINq7r/e0Ipg+Wv+QJNyjOAR44j0b1xaV1XssaZrozHWe+WxxcWn8LtqUJ3xB8OOHuSjhd8DsDM2gVkz73O6e7f6Z15dCFuSMFZ+V3Spp9GmVKRMOjs1zdW0lD32muZR9bP2iGtL9u8/Y9UbLot66ka/OCxnjtd5jF1qJIqiKAjC08CfgiCcBp4GhoqimCIIQhTwIxAMmIFXRFFc6NjUHUNbZGDJo7uJuv863GPr3rezh/KMooqSqvfPbHRpP9FspuCzn/G8pi+e7TrW+eOs6THRaiV70Y94d+qOf+zFRVjkKk8iuo/CP657vcFN6TuXYjboUJXC6XMX5nFXpay0HIvF9K+FrSQ3N59p06ZdcMy0aTfzx+9/4uvnjyhasFrNGAzK861F/41U13lb0RVm0v76ORfsyTdUgMqyT1G4dS3Rdzxo25O1N7+3OqIoUrhtFZ9VEfAcYFivLsRefQMSRe1ZB/aKkmi1krXwe8pTTxPc4Wq7BNwegXakaUljrHf5/9k77/AmrrTt/9Qly7bcewNjimmmhhpCCAQCSQjpvZfNJtnNliTb93333V6/bek9IQUIJbQAoUMIEDouGPfeiySra74/hIRsS7aawRDu6+JClmbOHM2M5j5Pux9lOJGpI6gr3EXKnQ/1ue1fPvvQVZr37zkOTetQk+pgIZW+4G6Bg0MuVpUxFGVaFk1fbkQzfjKymLg+Q2o9k+ouFqEPlhh7f/MQKxTIs9IwnSlDNc7/3hODDbLURHT79/a5jc8mpSAIW0Qi0SHg/4AbBUFwSj1Zge8LgnBMJBIlAd+IRKKNgiBcFE07u9XOmhcPkbswDdHVI4Iez9ZlovB/VpPx0Cys2f6XgTnR9skGxGoVieMdmtF9PYQ8fda8fRMAQ4Yt6vM4Kk1in8lNzcWHaT57CMFmRRQ1hvS0WbS2FhMXO7Jb8xKAwsJaJBKHy7e1tZ1bbllCUVEhubm5LF/+Effcczf5+fksuXERq1dvID4+DpvNQmdHKnKZo8e0U9xFLFMweumPkcgUNBXuD4iATNoWSvZ8QPKt93VLqgr0AWOsrsBmtfLLpfP53zVbaQQm3fkwaaO6J5p5WlT5ovndfmg/hoqz2M1mIlJyiB/lm4vPnaBjc6bQUnwITUYuHZX5br3SzSTnzffJmg7GandHZdEWYmbM7XNxM66qHOW5/uImiYRvhgwL+Hh9wds1HyyWK0DH0a9p3raB9m8OII3Q0HZgN1a9DpFYgmC10PbVTgS7HWmEBkVCMqqMLNTDRqFISnGVL7p/z0AXLoGeE6teR9vBvYiAqKmzBsViyZfFoGLE0MuHxJMTMFS39rmNzyQuEomuBcbjEF5yudAFQagD6s69rheJRM1ADHBRSHznv/IRi0Vwe+AKak4IgsDZv20mYlQK1iBcwPoDRzGeKiLr4R+4Vt19EU/Pz3RFp+k88Q2jFz/vUyKct4e2Wd9O5YFVCDYrKmUMNpsZna6OtvYSiks2kTf2gW7tQxsb4NTJGhKTFC4CHzFiJGvXbCAhMY4VK1Zwyy3LKCoq5JZbFrN69QYa6k00NnS4xghXJyKWyMiaeSdtZcfQZOT6RUBO2MxGina9SezV1/VKZAvEygvr0jP+xDesNBj53dZ9fHzVOJhzOxFh3TUEnL2S/XWDtuz8gvZD+1CkpBOXPJaabzbSUZmPaqxn97w73N3dPZMRnag7vqVXvb/XufSw2vsidW+f6ZsqMdZUknzrvX0e68O3/+16/eLSu/udW6Dwds0Hg4VuMxhoP7SPtkP7EMkUWFqbiYwZQsrCu5GHabCau1znWCJXYda1YWitpUVXSu0nbyOSyoiaOhPNhO7xfH8Xq07ytpnNtO7aAvh3Tpw18YBP5W6DBZGR2TQd2nqxpxESiMNUiGVS7AaL1218TWwbD6wGngUWA78Hrvew3SRAIghCVUAzDhIFW2so2FLD8H+GJpGtbtVhjHXtxPzw2YDHMFfX0/bR56Tf9x0kqvOJbH0Rj/tnlrZW6td9Qs41D/tsRXlytRra6ync+B+ih05EaG6jtbWIquq9pKfNQiSWkpPtsPCraw5QXrEdm83M0Kx5vPfOHr773AyMRqMrCz0qOhaz2U5sbCJr1mzglluWYDQa6erq4r139rusb6OxnbrGo2TOuB2zrrUbGflKQACC3caZr98nLDObqKmB69M7IbbZ+OZP52VeJz35A7qS0zxu60+vZOdDUxoVQ/tRh850TPwoojLHoGsoQ52YRf3JHf1axO7ubvdkxIikbI9tWL3BSciajNxu2/flivf0mcWg4+y+D4iePgexTO7Vslt87BAyux1wWOGbx3YvLbwQ8FV1bSCsdcFup+ObAzTv2Ix62EhGzH0EmTqq16KoZzhDGRmHMjKOaMYhjLoZXUMp1Wd30bp3OwkLbyYi1xE+c++U1l8XNzi/oImdsyAgLXan8IyIi+9G9wfKlDTMlTUIdnvASpqDCYokDdZOg9fP+yVxkUiUCWwC/ioIwlsikeggcEIkEl0jCMJOt+1igPeAx4OedQBoLu10KLL95q6Q9AbvOFFFzYqDxL/0LCJZYFnEdoOR5v++T9Sdi1Empfi9v2C1UrviXWJmXkt4QpbP+3lKXCrZ/i42Uxe2hiaiojJRh8UjkchJS3X0rK2rP4JMFtZrrIqKZlavKmDVqs8JCwsjPr67yz0+Pp7VqzfQ1dXF6lUFVFQ0k5w0EavVSFXdAexWExZDZ59k1B9KCtYh2O0kLOreXrWnu8+XB7LUaubk/73kitnawSuBg3+9kp0PTZFMQfac+zB1NLmsaacV7U0L3psFLFOGu8ZwJ2FPCwFDR4MrH0KlSfRK1n0ltnn6rPrweixtLQg2W7fvCd0tu6zWZgQcrrpbH3++z3M1UPDFK9Nz/la9jvaDe1015X3dS94WADajgbpVH2Dr0jNi/lOExZxPPPUnZCQSiYhIymZUUjba+lLKvlyB7kwBiUtuc0n8+uptCLbPt1Qd3qvN7KUASZgasUKBrbUdaVz/rTwHOxTxEejPeM9Q75PEzxHzZuBzQRD+F0AQhFMikWgFDmt8+rntFMAa4A+CIOwPzdR9h0lvYdUPvuba742mbXjwimzmFh3Fv/+cqAfvDFyRTRBofXcVihFDiU/3rbl7TzRt24A0IpKMlKv92s+9zrr+5A7UCVmYuzqJ0gwhIiKZ8ortZGU6fvzVNQcAKK/YTlt7GTnZixyZ6G4CLbt2HePwN9t44YVnXCTuSHhziBDU1er505/+TVOjiPLKnaSnTKOm8RvicqYgD9O4CMf5MPPFpexEZf1eukqLyXj0uV4Z0YG4+3oS+ISf/L7P7X111Qs2G6bmJiRh4eRc+yjh8RmuzzwtYHqSdl/WcWP+PuqOb8FmMSORyak+vN712p3MnZ3MAHLmP+aVrP0p67PbrLQ3nkWRku7Spfdm7f7n2kVMLy3GIJdz1sOi1dTUQNOWdcQvuMlr1r87Bspi7jn/zmMHaTl3H0Hf95InArUZDFS9+19UaZmMmPEwYrH3zP2k2AhGD0lCE66iQ2fgdFk99S1aj9tGJA1l9KLvU3z4I2o+epPUux9FLJX67FYPhYDKYMgtCATSpHgs9U2XBYnLY/rRxO/rQ0EQWoFRHt6/0/la5DCN3gG2C4LwfkCzDAKCILDh10dJnxhH24zAe0i7xrPZOfO7dSTeMB7R2MAT43Q7vsJS30zWA31LU3rdv+g02oITjFn8A7+aYbiTg5MY5Opo0iYuYphyMmaLHrk8HLNZR1W1I+sxK/Nal8JaMZA78tZuAi1O9/jZs5VMmbSYkaNSUIdLqKg4RW2tjOPHd1BSutkl19rWXoJgtyILiwxKr7u98jQtX39JxqPPdgtFOOGXu08QyP+fH3ZraDLuZ3/AKgtM994ddpOR2pXvI9hsjF36ElLF+bm6Xw93uBNz6sTrPRKuc1/7ucUSIuF8YpsHNTtnRYLz/1DopVfV7UEsl2GqrUJ/5jSK+ESP5PDQvu28O/0a7utDirVpyzpXbkHavf077EIZ3+5JSu7jReZNxX5Or1zsVmvuCT0JVLDbqV35HqqMIWTnLvX6Wx2SEsPjN08nLye112fHimt4fe1XlNX2TmCSyBSMuOp+ig6+T8P6FSQvvTukmf7eyHow5Bb4Co+Jp/ExWJvb+tnz0oAsqreH1B2hUGybCdyJw8W+9Nx79wuCcNL7LqHDoQ9KaK/Sk/XnR0IyXuU7exwdzq4OvJmGubyajrXbyHz4OcQBkIS1s4P6dZ8ybM4DSBV9X8Ce6JnZrGssx9zVQbbCYVk7G5CUln8JQFRUtsulnl+4itbWIurqj3QrOXPvRtbY2EljY+e5T0SA1fV5eHgypwo+Jjw5m/CETOJyAo+j6ZsqKfvqE1LveQx5tGdVM3/cfYd//xOc0TEBuOGpH4WEwC2d7dQsfxNlSjrZY5f1ssLcrwdw/vU5fXjX/x7g3Dd5/AJX7/e+1OxUmkSyZt9FS/EhpDnqoDLRAcz6Dlr37iD13scwVJR4Jbendmzm+7u2cFVZCd+78yHMXsJP8Qtu6vZ/fwhlWZMnUnJ/+Mf5eB9J1eHdSr10+Sewm01kj7rJK4FfnTeUu+fkEBbm+X5LjZLzwu1T+GhXMbuPlfb6XCSWkDPpbk5t/Du6otP9Cu34A29kPVhKynyBx9rxaA22to6LOa2QQWfrW9UxaBIXBGEvcFGyB6qOtrD/rTOM/MdDIWkt2vrVWZq25xP/s8DkUAHsXQaaX/mQmPuWIo+N73+HHhDsdupWLydqygwiEof6tW/PVqNWo4726kIi1cl0GVq6lZClpU5DIpETF3teHjV35K2u1+5wEr8nOLPZE+LHcKJ0BfKIaMKik4nKGO13BrQTJm0LZ3a+TeJNd6JKC7yszx3bhucysbKctM52Zj//C1o0gfccd8LUUEv1h28QNWUmmelzPT7EPVnYztfuJNzTMgeH+72jpgi7zeSS0nXCm5XtJH6b1eQaP1AyLz25hqgpM1ClZfZ5HZ7Z7cgEnnu2AKndjtnLdor4RJ8scCdCaXH210u7v3JBd0vPuZ9gF2g/uIecax5F5MWFPiQlhrvn5HDrzUtQqZR8tm6jKyQlCAKNdTXctuwWDEYjq9aup6qx3atFnjnxJqq2b0I9PNcv71xf8EbWF0MsJ1AXvqfvoLBp6NJdlPzqkEOkHKT9xEUi0TPAQ8BY4CNBEB7yZ399i4k1Lx4i4/klKJP6b0rRH4wNHZT8fTMx33kQSURgDz1BEGh97zOUo4cTmzQpoDFadm3B3NZMztS+S3k87tuj1Wjx1jfAbqVTW+UqIXPCScwVVXsoKT0v+OKNrMFB2M4Yek/rvarxa6TKcAyttRhaa+lqqfaaxNVX/Ndi1FGw7VWUaRmo0rP8Pgc98ddP3qZDoeKl2x4Ai8UlAxosusqKqV3xPgkLbyZV4z0LuyfZujK+jbpu2zld5tr6s1iMDsLuqMxHW1eMtq4YmTLCJ9e4ex15z1rznoTe12KqvSofU0Mtycu6i/v0xI3HDyIVHN4ErUJBl6J/layLEW/tr5d2X3CSttPd7hRvkWpikGpiUMd5T4x8/ObphIXJUamUFBUWsuymG/h8wyaSkpKpqa7i1ltu5syZM4wYOZKwsDAev3k6P315g8exNGmjqDi8GlNDXUCJsp5wIVzzvu5nN5tduQn+zMnTd5Aow7A3eM/ovpSgnjGR1rc+9fr5xWyAUotDOOZ6wK90crtNYO1PDzH2xnS4KjvoidgtNs78dh0pt09FGJYV8Dj63Qex1DWS9eD3A9rfWFdD674dCFYLjUX7SJ3gX2aou9XX1VqLSddKYsJ4WlqLSUoYT0XVnl4NSdxd5d7gtLbd4+gSicM12NpahFimJCJpGGmTF9NYsB9EAjFDJ3jNQveWcGWzmCja/Say6Gj0hafoTM8K6gGz+j9/ZlRTHQKwOXc8B4f3Su8ICJ0nj9K4aTXZV99PpCYwMZOeCxmxxEF+uoZSWooPkTR2rkNK12LGbjNhs5i7tWvtK5vd5W4/l/jmbdHkXoPu3rfdZjFSfugzkm6+s99w0B9Wf+x6ff+DT/v03QdLvNVXAnOSvM1s7jbv5u2bCOtDzCYpNsIVA/9s3UaW3XQDRYWFLL1xMcs/+oh77r6bM2fOMHzECFat3UB8fDzx8ZAYE0FDa+9kN5FIRNiQHAyVZSEj8VAi0Ovq3C8mwFK4nrDqdehLCrGZLw8S78/rctFIXBCEzwBEItFkwPtS1gP2vlqI3Sog3HoToXAqVby1C5kmDPtVCwMez1LbQPtnX5Dx4DMBxcEtnR1Uf/AaqsxsukoKQfB/Ju4P8JId75GUOwdDeQlWaxdlFTs89vaWy9QkJ03s5kbv2X3MmdgWHeVYMEVHZZOcNBGzSUuFch/RmWPJmL4MkUjkcgWD9yx0T65gu81K0VfvokhIIu66xXQeOxTUj/k/H7zOqKY6wBG5v6a4ICQk3vrVLtq+2tWrjMgb3Gu1Oyrzu/0P5xcyCbkzHTu4Ja/JlOGkTrye+pM7HO1aZXLXeetPdtX9XvAmrhObM8VVt1++52MXkZcVbSRsSE6/3eF++MU6nE7kVlUYhSnp/Z4PuLTirdC9Ptu9yYpVp0Wj6J2o5sToIecrZeLj4/l8wyaW3rjY0UBovKP2Ozc3lxUrVhAbfd6bOGZoUi8Sd95HSmsYFu3gi/Va9TpsZjOxcxZ0u66+WOfBlsL1ROexg3QeO4Q0MXjJ7UsBl1wrUrPOwrHPyhn5r0dCIujS+tVZWvacccTBA4wzCRYLza8uJ+q2hT6VznhC3aoPsOm1aMLTiZk8rM866p4Zzz0tstqjX2DqbELRZiEtexHFQFbGNXR0VhAXO9JlkYODoG02M+UV213jO93rTnKPi3XIF8bFjqS5pdBRB24xcKzoQxJzZ5E0bp7r3PUX7/b0uSDYKT7yMWKplMQltyOSSIKy0F7+4FXmni1y/b1i3ET+tHhZwONZ9To6jh7E2tlOV8kZRl3/DIpw32LqTrLtqC1CW1tMR00R2rpioDv5OgnbCffz1Fdcvb96e2esPXn8gl7XQ6YMJ2v2XZTv+ZiO6gJaig+hjs9AV3iSrKdf6Pe7PfrVTgCagcmTZyDV63yr1R9EzUn8Qc95i6RShHMSs56gCe/uYExKSmb5Rx+5CBxg+UcfkZaegdEqeN0Pzt9HqiHDCIsbGCnbYOAs94yfv8TvLPdQ3w+ReVMxNTdiMrSEbMzBjEuCxEUi0RPAEwAiMeT+4c5+a+d8gamx83wcPFzd/w5e0LZiE9LEeOIyA2t/Z6gsw9RcT3LefBJGzeqX/DxlPLvXDRvaG4nKHEtK8hTkMrUrFh4WFuuKYTtRUrqZrMxryR66sJtL3Ung7vFyAHVYPB2dVZwo/JCUiQuJH969Br4/C7Hn54IgUHJ6DVZtB2n3PdFndyxfcNvBfd0IvCpCwy+W3RfUmB1Hvqb5yw1II6MYvfh5vxLFNBm5aOtLkKuj0VJMWGwKmtQRHslXEARMnc10tdbSWnqE9spTWIx6ksZeg81iprFgr+v+cPdm9LlwOpf9breZPKrFOYm8pfgQ0VnjKfzyFRIX34ZE5b0qwmld/b9J05nS2szrBgMVe7YRr1R2exhf6rXG/UEen0hHTSXelu0duu7u3Pr6Ou65u7sU7T13383qzzcQ7dYLoOd+cH6x1tp2BkWPDoiD4Tx7865cDK+LVB1O+IgxWAq+umDHvJi4JEhcEITXgNcAIhJVgiYv+IxlwWbnzB/Wk3zLZAgiDm44WYjh6GmGPP6jgCx5u8VM3dqPGTL1NqKzxnndrmfpmPv/ABajlrrjWzBpWzB1NDJ58g8Ri7tf3rr6I7S2FqFSxRMXO9Kl0NYzTp6ZPhuzRY/ZrCM6KttliQNUiM9Qkb+S9KuWYunq6Bandc7JZu0dw3X/3P3/spLNGKorSH/wOwGFIbpBEPjNxlWuP8uiY1j0vZ8HNaTdYsFQUYosJo6R1z7pd6Z3R2U+HdUFJOfN71Ym5o6u1loaC/bTVnYUkVRGeHwmEpkSVUwKzcUH0TWWo28sA85ntPcnFOMk9pihE5BIFd0S3XourpwLgrOnPkOVMYTwkWP6JAandfX7+UuIufF2rHod8ee29bQdXLzY90ASXPiwUbTs2Ix9rMVjb/jTZedVtpqamlwx8dzcXFdMPD8/n5sWL+qWtX6qtLc6l0wZTlTGGGqObiZxUXev0mDodObNmr5YXhfBbEJ0GbQiBbCbveumwyVC4u4QNMFnogNUfbAPsUyCMGNRwHFwm1ZH69srSVl6f5+WS19o3rEZZVKqVwL3pH/tKeO55sgXAOibK4kfMa0bgTsT0+JiR9LWXkZraxHNLYV9ZqPX1R9xJbEVl2xi1IhllJuO0Vi4n5wFT6CtK/baVEMiVfSK4TrhPveK6h3oCk6Q/vAzSJTBS+UiEvHo3Y/y5kdvopXJgydwk4maj99CrApj7JIfI5b4/3NxX7S4k7cgCHTWFFF3cjumzmaUmnhsFiOZydORShUkJ05EnqbGajVy8PRrKCMT0GSM8pio5mlR56npidNT4wkdNUXoik6T9Z0fA917YCedExhx4qX2NloVSmYVnuKFqbPBy4N6MMS+vS0kQkHusugYVOlDqKrfR2baNb0+r2/Rcqy4htQouYvAR4wcyerPN5CclMzqzzdw0+JFrqz1z9ZtpKbd7DGpDaDk6EoEmxVd0Sli4jzXdA+GhdNggM3QhTgsBM+UQYCug8f7/PxilphJzx1fAkhEIpESsAqC4D3IFCJ0nKikYdMJEn7uW1cwTxAEgdZ3VhE2faIrQ9XfB4OhppLO498w5sYfet3G177RCbkzEUsk1J3cwRBlXrfP3N3i3mrBeyI5aSJms46m5nxaW4s4UvguIomEUUu+h0gi6ZUs1Z+noCcqG/bTfmg/6Q8/E7TFkF5fz5zi03wwex77R4xm1Eu/g35qK/uDzdBF9Yevo4hPYti42wK+Tzwl8WnrS6g+vAGLQY9MkDI653ba20uJzXRItZaUbj7Xw90hfxulSKW+4QhxyqkuLXXo+/z23KYv9TarUU/ZV5+QtPRulzJeZN5UuspL0BcX0Hns4HlCEAS+f2ifQxiiqpwf9+F9upBWmLffnreFRKjILn7BjVS++U/i54/wmOj4+tqveOH2KRgMRkaMHMln6zYSHROH0WwhOibOlbVuMDgaCL2+9pCHo4CusQJTfR0xs68jMm+qVwW6wbBwGgwwituRRF4eIRzBaOrz84vZ4uXngAF4Cbjv3OvgTCcfYOk0UPzHDUQ9cAcSTUTA4+j3HsLa0kbS5MWu95wPhs5jB/vdX7DZaFj3KfELbkSm8j4PTUYumrRRLkvcHU5tdKfbWqlJQB2XjkLR3VuRnDSR7KELiYsdSXXNAWw2MxZLFxVVezBbPHeMlcvUSCRyjMZWRBI5Sk08Ixd9F7laQ2PBXuqOO+o5ndal+zydhOHN9VzdeojWvV+S9sB3kGmi+j1XfUFmNrHllT/xsy83UPDrH5Dc1uoXgTs7Qln15+u2rTotVe/8F1VaFsPG3x6yTkgmXSsl29+lbM9HZMZOJVwWg15fT2HRaldiYVrqNLKHOkoLS0o3U1d/hLSUq5DIVL0I2Xl+nQuoluLzBODeOKVnTbr7fSMIAmePrSRi9HjU2eez0aXqcJKW3t2r5Oe5Lze6Hhq1kRosIai5DwW8/facBNdzoRiZNzUk5Uzy2HgSFt3CmR1vYOxo6vV5WW0rH+0qZtXa9d1c5k7Ex8fz2bqNrFq7no92FXsUeulqraN419skL72L+Hk3dBOc8fX7+gOPvwkP7w1mWFs7kMSExmt7saGWNPf5+cUsMfs18OsLfExK/vEFsbOGIxsbeMN4a1Mr7Ss3k3H/067OQuDfKrj1q11IwiP6FAqB8zHViKRspDnqPmOh7VX5JKt76727S606yaJTW+NKcHO61PVdTRSXbCInexHqsHjacdw8EUlDGXrN/edj/kKP/3vMs68GJzUdR2jevpH0B59GHtO3nGB/UBn0HPnjL1zhEBtQF+1fw4NeHa06O6h672UicseTNfT6kChjCXYbDad3U39yO7E5U4kWJRITk0NERCrFJSJUyihqah2ZtM5rpe9qolNbQ1zsSKwWI4i7z8O9Y5k3y7y/+nAAa4oac0sTyct6iwv1sqQFge/s/dL1520XqVOZJzh19O1mM1YfsuQD8RJ4tfbHTsRuMVPwxX8YOuMuNGndny27j5VS1djO4zdPpweHA1DTbub1tYc8EnhbxUnKD6wkYdEt3eRWfX3WBBI28OSluNTc9NamFqSzfe+UOJhhae/q8/PBsYy+QGjcfAJjbTvq+x4MeAzBbqflrU+JXDQHRWJ395mvDwZLWytt+3Yw6obn+iUJ9wd0T3GOng9vbX0Jw0b2nyEfHZVNTvYimqOGdHOrF5dsorW1iBOGZlQpWXQ1V5EwahbJefO7zTMhd2av+KovLt4a7TEat6wj/YHvII9LCCouKbJZexH4uJ//0a8xoPvD0NLeRtW7/0UzcRpZGYE/qNzzA6xGHWV7PkYiUzB5/FM0NedTUr4ZkVhCZvps8sY+gNmiR6mM7nYtmlsKHbkLUUPo6mrCZupyicBA745lnlzl3q6J8+/wxCEUb3uL9Ie+i9iHdruvfPi663yXxCbQGhHp97kZKEjV4Ujkcpq2rve5o50Tvt6HfRFZ1MRpyKPjKFvzEWEN2WSOuB5F+PkFZVltKz/++ycoOsu5ev4iYqKj6dAZOFVa7zEGbuxspqJwE8baKlLvfqSXeqGvz5pAyNfTAmEg3PQD1tddELDWNiJLTuh/40sAlpa+vR/fGhI3VLdS8eZu4n/8HUSywL+29st9YBdIGBX4Q75+/QoUKWlI5J7dvj1LhmJzptBYsBe71UxEco6rpteZ1NRSfIiIpGFYujqQyrwnczj10p3Z6O5a6gA52Ys4qqvDYGhBaJYSN/wq4kdO76YS1pi/D0RCr1K4nu1PeyZy1eqO07hpDWn3P4kiwSGCEejqXmS3kf+bF7p1JBv9y79AAG5v58PQ3NZC9bsvE3XVbDI9tH7tr/7dHa7FVkMp+sZyUifewFBZHiKRyKNCnrs2vXsSIjhq80/rz6BOyEKTkUvN0c0giEgaPw+73YpSk+ixCgC8x8FlynAScmdzess/iZ270HU9+sPVZwtdr29/4vs+7XMh4S/ROEnEZja7Wtr62p/bE8KGDGPI0z+mZe92Tn3+N+SaaFJGzCU6cyxiqcx1X9Q2NHksD5RIFXTWFlFfexhDeSlRV80i6ea7EMsDr9oIhHw9LRAGIr+hv99/wDKune0glVw2MXFTU2efn38rSNxutVH8x/WkPzATW0pgYiwAlvomOtdvJ/Ph7wUcJ9WdycdYW43doKcl+pBPtdROTXSA5PELutUZO8U81PGZCHYb9Q3HvGac99XIxGo1Uab7BovNCIAsLJLao5sRS6TdVMKcsXDAY4MNTy7cGu1xGjetJu3+J7rJRQa6uv/mdz/tRuDTf/jLgAjcCXNrM1XvvkzMzLlkJM7s9pnzIWuzmlzXoL/6bE36KJrOfI1Z10ZKwiTSRcOxWLtcCYXuCnnupX1Ar9r8iqo96BpKiRsxjY7KfNccJDI5mpQRVB9ej0zlPWnN2xxLCz9HFh1D1GTftQ1eXHoXf17zMaeSUulSBJc4OBDwl2icJBLrQe7TY3tLH8YXK5TEz7sBkURKy87NVJk2Un5gJcqkVGQxcWjSRjk+KzmC1aSnqXA/xo5G6ov3YevSo0xJJ3LMBJKX3o04BOd4MAvr9Pf7D3SRb6ypQp7plwjooIaxvm+Fvm8FiVd/sB9pZBjWvOsCLicT7HZa316J5sbrAupOBmC3WmnctJqsq5Zh1rWhycj1aLU6Cdr5uSYjF5vVBIKImOw8Oirzzw96TsxDERmPSdfab9Z5r+8lCDQ2neRMxWYiU4Yz+ubnaa887ZIH7ekyt1nMjmMKIo+1ye5d1ABqOo/S+MVa0u5/EmlEJK37trsejO5ylu7v94e/X3M9M8qKmV1yhskv/h9GD73GfYW5pYmqd18m9urrSI+f3utzT+1AnfDUeayz7ixluz8kdtgUwrQSSsu2IDtH1E5ydn/dc1HV01LXRGYilipIzbsexGLXfeAplOEJnubYVnES/Zl8Mp/03qveE4l9njcVldnCpjF5Xo832GFqaqBpyzpiZl/nkgmNmjrLay08BBYDjpoyA7FMSmTeVEQSCcaaKgzV5XS1NtGmK0OkF2NuacLU0YgsPpG4uQsJzx6B3Wp1NAOxWhEPUJnzYBCHgf4XGIEu8rXtJSiGhab74cWGTacHu/d2xfAtIHFtfo2jnOwXzweVpKT9cj+IID6nt6vVF1j1OmpXvg9iMRHJw5Apw12a2NBbgjM2Z4pLDtO9rWRPSzdh1CwkUgWa9FF0VJ1GJnUQmnuSmkwW5tHya2sv40ztVuw2C0Pn3EdE0tBz4zpiSe4Jau6JVFKFmsaCvSSOvgab1eRy5/bsolbddpjGrZ+jGTsJaUSk1wejrw/Mzf/4LdVRUTz20Hd5f1bw1sV5Ap9Pevw0j1ar+4KqozIfq0l/XvLWrSe4IAjUn9pBw+ndjB52K7HROZjD9YhE4l5KeJ5eO9HTW1JjKXSENMIc8WdnU5y+3PvdZHl79C03aVsoP7CS1Hse7VPbwP2a/LepnnlF+Ux/4Td8OnWm130uBIIloKYt69AXF2Bua8HS3OiSCe05brAx4J4Epc4ejqm+GkNlGfHzl7gWrz2/S/vh7QOeQHapJKkF6kUwFpYQfY9vPesHO6x1TajSY9EV1Xnd5rImcZvBTPGfNqC5Z1lQ5WTWplY6139J5kPPBexGb/t6D4Yyh2a2ezwbPFtSLcWH6KguQJM2ymX12iyOTs3u9dnucU95mIbWthJiY3JcSWrFQHTUEJfll5E2k9bWYkqb92HStZEy4Xpih07Eau5yeQWcx3cnCPdEqoikbOqObUWTNoqO6gIkUkWv71PVfICWnVvQjJtM21c7kUZEBCXNeOw3P0Zps5HZ3kJ8RytNGv+y0HvC3NpC1XuvuAjc+Z17Lqqc57fm6Gbqjm11aaADrgVUdNZ4Sne+j7GzidS4iUREOEIGPQnZ22tvsFpNtJw9xKgbv9/rM09iLp5keZ1zjM2Zgt1mpXj/+8TMntdvn3bntYgaP4Vb//IrRMDKV//GbU951zS4EAiWgOIXOB7uMbOvw1hV5vqePccdCDd0z/s8mPaooZzH5QSrTou1qRXFkIyLPZWQwFxTT1hW3LeXxMtf20HE6DRUE8cEPIajR/gqIhfOQR4XeLajpaMNZWom0XEjuhGwp17P7p2nEkbNAhwxUGdc1mnp9kTqpBvI/2oVYyV3knOu8UlO9iKkUiUmUzs6lYH9R/+BRKYkcfTVRA+dgFjs0Cr3pMcO58ksbeqNrv+lCoc1r8nI7dZu1El4lXV7aP1qF+kPPY1YqUIaHt5LlMKbWIUnrHz5LyhtNsDRkSyusyMoEre0tVL17n+JnTXPReDQT4b9uXK6sOhUNCkjXNcrekgeZ798i7CYFJI1oykt24pUpupF0s6ENffGM+4NZXrGxgFKTUeISM5BEdG7FK/nXL2J7bgv8s6e+gxpZBTR0/r3JjmvyV8/eed8CCoULQODRLAEpIhPJO3exwEIyxgSsnF9QX/3uT9ehmA8Ek5Pw2BwqYca+jP5KHNzEEmD68EwWCBvLSVsaN+8c9mSeNuhUtoOlZHwix8ENY5+3zfY9IagstFNTQ10FRcwdulLSBXdXZierD9nApk7WbukM6UKr7H0qIzRCHYbpw6tQBDsiERijhd/hEnb5kiEUo5CkzaK5PHzkan61jTv+VqlSSRn/mOuv51zdXe5C4JAecU2Oo8fJuPh7yKLchCtJ+L21aL6/F9/IKel0fX3n+ZcT0H6EK/b9wdLh6OMLGbGNaQndI+B96Vq5l5W5zznuqYKSra/Q+LoOeSorsJi7UIkkqCJzOTYyfe6hTI8dYpzSuBCb8vcYGyj9thWhl33qMf59JyrN+J2oqbzKPqzhX3GwXtCYrOxuOCE6+97H37Wp/0ChS/ENFCJWoMhAcwfL0OwHolLxaXuL9rLjqOelnexpxEy6IobiL9udJ/bXJYkbtUaKfn7F0Q9dFdQ+rm2Th3tqzaRfldw3bWav9xIzMy5vQgc+iZP5//urtKksXO7xdJjc6Z0K/uKzhpHVOYYKg+soalwHzFDJyIP09BZewarSUdLySHk6qg+Nc2d43qKuVqMOke5m8WCWCZzlZoJgkBp0Xr0JUVkPPwMUg81xD0bNbj/7wk/2rS6G4EfTknnrbnXe92+P1i1nVS9+wpRU2eRkTTL63ae4s09z09b+Qkq9q8kd9gtxIU5+pQ73efHTr7XK5Th7BQXFzuShsYTpKc5jh8ZkeoxNn66ai12q4mu5koik7P7/W59LUAMbXU0bllN2gNPIdhsPicRrv3vn1yvv8oahimIUidfcCkQy0AmhfnjDQjWc3Ap1X37c3zT2XLinrzngh97IGA3WzBUtKDO7rui6rIk8bL/biNmxjDko4Lru9v2yXrU0yagTAm8XMFQU4mxppLhU7orYvUkZnf0fCD31fCiZ9lX6oSFiERil8vbpG9H31BKRHIOaVNv7Ob+9gaLUedKqnMe030uzjIncJSZJY6+muLjKzE3N5Dx0NNIwjy3dXV/cPhi+Tzy9R7X669TM3nw8e/1uX1fsOp1VL33Cprxk8lMndPntv3p1dce30b9ye2MG3UPMdHn7zGnyzwr4xoAlyUO5zvFOVXzoqOyaWsvIXvowl6udJOpA31zNUljr/XpWvVVv241Gyja+TZhQ3KQRmj8IsphLQ4ZUQF49P4n+9w2EIQ6mexCwJ/z5y+p+eMNCNZzcDHqvgcaLVWHUI0biVh1eXQvM5dVEZYVi0TZtxDTxdROHxC07i9GW1CLdOGy/jfuA8b8s5jOlJE06Qaf9/GkL9yyYzMxV1/Xq1WhJ71rJ9y1rcFB1u7lTe7a2bE5U1AnOrLKO+tKXPsk5M4kbfISwuPTAQhPzHIRe39wT6rzpPaVnDefxNHXkJw3n5ghEyg68C5WbQfpDzzllcDBf13nJU/9AAEo10QHReA2o4HqD14jfEQumZnzPG7jfs57nm8nBEGg+puNNJzejd1iQqvrnmzirPHu6Kwgb+wDqMPiXdZ5T6IOD0/u1cMdHAuBI2c+IHbYZNImL+6WJ+F+TzjR130kCHbOHv4YaXg42tPHXITiXhPdl072EU00ANtGjMEeZJ93T+ip/x0K3W9fEIwOuD+a6/70UvBlboNdvzwQPfpQfSdBENDvPkj41YN3AegvFA2niRjTvwF5WVnilk4Dpf/aStRj9yFWBO76EyxWWj9YTdKCZYgVvq/qeq5EDdUVmJoaGDHj4V7b9peZ7m4JekuAc8KZnKZvKO2WoXye9CNcbveeNcOe4K19pmOscFeZk9XURdHet5Bqokm7/UFEIWiGMbU4n3lFp/j9kjsoTUpj1K//FtR4drOZmuVvoErLZMiwG7zGg90lbZ1JfE44lOr20l6VDwhMHve4KyHNHZ7U2Hqip2qeO8wWPSdOvodBW0t0ZvfWtM752SzmbrF592vV0yovr/gSa5eO1DseovPkNx49IH3pZC++dhErys7y/Tse8Pp9gsHFsryDsRj9sWAD+X59ze1iW7r9IRDrPlTfqavsLIIgoBgxNOAxBhs6jlWQclv/985lReLlL39J7OwRyIYHnvgE0PnFbmTJCYSP9C2r3ek2Uw93JCA4f7Qtu7YSM+taj32o+4pheiL4xoK9jhKnmiKGXnNftw5W2rpiIpJzCE90SHOW7voAbW0xNquJ1AkLzx+nR82wN/Q1NydMujaKdr6OOnsk8QtuDLj0zt3lmGwy8u6HbwDwwOED3PTUDylOSg1oXABrZweV7/4XRWIK2aOXdqvx7rk4ic2Zgra+xBVCcA8lNJ/5mrrjjhDCkMzrUIfF95KshfMxcbNFT2m5o1FIYsK4bhnocpmauNiR5BeucjWacaK29hCd2mpU0SkIdns3OVXnvWCzmnot8JzXyj1XQhmVSPvBfWgmTQOJxOsD0hPRvHa2iJdHjKZk0nQeu3q+z+fbHRczSa2vY1v1OpfIi7/yrP7GegP5fn0Rf1+fDWQ8erDkAfSF5qM7iJw/KyQNiwYD7EYTujP1aMal97vtZUPirQfO0plfS/wvgqtjtTa3od26h6xHfc9q97SaNNbXYqyrZsS0vq0YX5KoAFeJk7auuFsjjJ5Wc/3JHa46ZvcuY9C9ZtgXeIu3drXWcmbHm0RPu5qYGdf4NJY3OM9dRFcXu/dtd1UxWSE4AtdpKX/t79h0nSRkTUEkEvcZ65Ypw8mafRctxYdQJ2YBoE7Mou74l7TXFKGIjCMpajSpqd0fNu6lY07Luq7+SK9uce79wd1r+PPGnr8/tEo9quhkojLGUHd8C10tVWTNvguZMrybNr23a9itscmOt4kYPZ7W3VuRKBReyaQn0cgsFpaWFXMTIlZs28Cvbr7Tj7N+Hp5+Excq8akv667t4F5ad20hZs6CoLp6DRQ8Eb/7efN2/IGcY6BjX6iFnLGuBktlDerv3hfUOIMJxvyzRIxMQaLq36N8WZC4VW+i9J9biXr47qDc6OBIZou4biYyH1paerPAAdr27yB62uxesfCe6C+JyomE3JkuuVP3B7inrHKnNGdC7sxeRNyfhd3f3DpqCind+xEJNywjMgTym5F5U1GYTBzYvbUbgY/55V8CHlMQBGo+fgubrpPI1BHEDb8K6Dvr350o60/uoKO6AEGw01lThFQVwdTx30HZo0+72aInv3BVrzKx5KSJ2GwOYZ7EhHE0Rw3BZjNTUrqZ2rpvyMleBOD6H6Cjo4L2ipPkLv0RAF0tVd0a3TjR1zWUKcOJGzGN/M3/JG7eDYSPHIMsKtovK+fjN/8fAGIE4vS9u2v5Ck8W1oUiw76sO1GP/4Md70KgZ1WHOzH29QwKFQL9/hfqejd+vYmIhXMQ+dCJ71KBqPgI0dP6r0qBy4TEK17fSfTUoShG+valvcGYX4y5spa0Rff7tL23m9TS2Y626DTJ4jgs8Z47TDnhSwtP6B6Ldh3HXV6T8ypr7tt5k3b1BT3jrSXHVtFVUULqnQ8Tlhma2JNSIafYjcDtwJgg4+Atu7ZgN5tImXA98SNnePVweFtAaTJy6awrxmoyIFVFYjV0UnhmLbkjb+0Wx66uOUBraxHRUdm9upINzXIk0JktesBB5g2NJzEYmqiu/bqbBW4wtHGs4ANS8q53lQt6qiToLxNdsNspPvghYUNziJrkELHx5+EZbtAzur7WMRbw3J29czl8xcVSI/N2bCeips5CLJcH3NVroLwJVr2O9oN7EYDoHlru7uet5zPnQhBloNbyhbjehqpyzBU1xF4mZWUAgtVG24ES0u/3TeL4kifxjhOVtB0sIeFXPwpqHMFmo+2jdSTOu9mn3srg/SbtOPwVivhEao99gVgq65M8+7Ks+ntoe1NZc7YudTZMcb7nL5xzE+x28ne+jKGilOiZc0NG4ACH/vDzbgSe95PfBzVe++H9dB4/TO71zyJT9S21620B1V5+is6aIlTRyUzN+w6FRWtobS0iv3BVLyIH0GgyPSquQfeuZKNGLCO/cAVKRRRmi961z/GSj7GZuuisKXTF4p1Stu7oz2tTWrwRwWIhYeHSPr+3N3z8xr9crz+dMA1biDPSB4OgSrBzGCjS7Dx2kJZz7VAlPfqhu8/Z/ZkTSHz/QmKgr7cgCNTvXINm6XzE8svHCjcWnkWZHIUyUdP/xlziJG43Wyn5+xdE3rUsKFEXAN2urxFrIn1OZvMGwWql/ZsDDJvzIPqk8qDiz94e2s5tNRm5QPekJ5vF7EqCA4dcq78WuPsxorPGUXpiLYLdTuyc64kKcQOMux94mhGNtfxsyzqmv/B/2ILIcNcWnKR55xZGXf/dfgkcPC+g7HYb2oZSlFFJjBl6Gw0Nx10Stq2tRdTVH3G5zd0zzb3BPWO9rv4IRmMrtXVfo1JFk5k+mzLysZoMpExYSPSQcYTFpoNIcPQOP/JFt97tfXltqtsOoys4Qebj3w9ImEhuMTPsnLCOAPzqptv9HiMQXGyBEH8xUNZlZN5U7GYzQj9ju0um2s/1QXc2cRlsGOhr21J9EKw21DMmhXzsi4qTXxM3d5TPm1/SJF794VeEDYknbELfsnT9wd5loOPzL0m/5ym/shs9rcp1RaeRxyUQkTiEiMQhrvpeb9a0E54I21sM12YxuwRe3ElIIlW42mYm583vFT93oj8L330+dQW7CB+RS+odoSkhA8Bu5+AffkZDeAQ3PvdTCjOyWOtHX2tPMFSW0fD5pwyf9zjKyLiAxhAEO6U7P8CkbWFS7sM0NJ5wWdG5I2+lrv4IeeOvZezYbCI1Kjo7DBQWJtPY0Ol1TPcmKMlJEzGbdeh0dcTFjqSrq5mqE2sYfv0ThMU66kGdpX/1J3e4rrEnq9wd2oYymnZ+TnofQjv94defr3C93pkzCi5Qlu9gL5vqCV+ty0CEXuLmLux3Ozh/zlRDcwatFQ4De21thi7aVm4k/pkHAq6MGYywG020HjhL5mN9C1K545Il8a7yZuo3HiPxl8FpowN0rN+OavwolEkpfu3naVXecfRrkjLO/+1r4ponK8tbDDc5b75HMZK+6rvd4cucFJFxiOQKoq+aRczs60JaunH6Nz9GIghEtJoYVVlGgVsjCm/o66Fobm6k5pN3GDrzbtRx/ZdkeIIgCFQeWENXSzVmXSsNjSdcVnRc7EiUqjr+3/97kaumTaRnWtSpk9W8984eKiqae43r3hJWHRaPXB5OW3sJTU2nqOs4TcrEhS4Cd4d773ZPTU6c182kbeHs7ndJvuVuFAlJAX13gJ/edCe/vPFWrivIZ/PYCQGP4y8udtKYLwjEohzIjO7IvKl0lZegLy4gPHvEoLTCYWCvbd3e1YRNGotiqP/dymxaPfp9h1HPnIwkIrBF70Ch6/AJIkenIY/xo5RxAOczYBDsAiX/+IKMB2Zhjeqt0e0PrM2t6PceZshTL/i9b89VuVWnxVBdQZRbWZk/iWv9ub37I2lfs8/7mpMgCFTV76Xl622k3vUw6qHD+x3PH3z9+58iERx16iJAK1f6tJ+3h6JVp6X6w9eJm7cITazvLqieqDu+FV1jGZNyH6ax+bSrZCwzfTbDhpt56OE7UKvV2GwWJJLuFRCJSQq++9wMVnx6lJUrl7v2NVv0nDj1IQZDk6ucLDlpIggCLfY6VDEpxI+Y7nE+MmV4L0GentfNajZQuOMNlKkZKFICW7wAYLOBRIJVJGXzOMfCRbDbMTfVY6yrwarTIpZKkcXGE5Yx1C8BpP5woeLkwbh2+yNkT2MPZEa3VB1O0tK7XcccDPB0Dgbq2uqKTmMsKiP5f74f0P76fYdpX7ERu8mMWCEfVGRuPrCftLuu8mufS5LEGzefcIhhjLs26O6I7au3ED5vhseGHf5Ce/oY6pxRSGSOh5w3t7Uv7mxP8LdEzN9xbFYzJcdXYmqoI+Ox7yGP7t0CMxjs/+PP0JiMrr+fXXov1UnJPu3r6aFot5ip+ehNIsdOJD3WvxvfHfWndtGQv4fJYx9HpYrp3vc7M44nnpjOsltvRKlUsmbNBuLjz7cGbGpq4pZbFmM0GlmxYhXrPq+grt7hOs8vXIXB0IRKFe8qJ5PL1BiiROgKyxm15Dm/PBzu181ut3HmwPtIVCr0RafpPHYwoAdmRFcXB/78C0wSKVtHjeWH82+kqWg3+v1HEMmkyIekI9FEIJhtWA6fwPzZ+6ivyiNx0sKQ/GYuFIJx7fZHyJ7GHswZ3QOBCxUWsWo7qdv4KXFP3YtYGdhiUj1zMgB2k5n2FRsBiFzou/t6oGCuqMHcrCV6qn9VVpcciQs2OxVv7yHu+ceDjoWYq2ox5heTPTc0STzaghOkZp/v1ezNbe2S0LSaXMId/pD5QEDXVEnxzrdQZQwl49HnEIe4Y9X6f/2BGIPB9fdTtz/AztF5Pu/f86Eo2O3Urf4IWUwcWUMD72zWUnKUmm82INhtNLcWoVY7CNps0VNdc4Af/OgXhKnDUKlUFBUVcsstS1i79nNSU1Kpr2/gllsWU1RUyIgRI1GpVPzut3/hN/+7zlU/HhMzoltGe2vbWerzd2C3mmgrOxbQokwQBEpOrUYkEpF658N0njjcTQvdH4tz47//gEQQCLNaqGmvo+yVPxE2fQLx338EeVpv97ytQ0vnlj2Uvfpnou9cQlx64IunC4lgyLE/Qg4V8fpz7QIhzUtBea0vCHY7NZs+IPzqqSiDUOWURKiJXDgHm1bvssQHA2xfbSfpxgmIJP7x2iVH4uZmLfHXjUGW7l/82hPaV32BZvG1iBW+uXT7gq1Lj6m2msjZI1zveXNbu7LJLWafa7gDtd59QVvFSUr3LEewmFGmpIecwAGGurUUXTdqvF8E7gnN2zdi03Uy6hr/khHd0dVSQ8X+TxHsNmJiRnTLMq+uOYBdOMuEicORSBSsXr3BRdjLlt3M8uXLueeee1wEvnLlZ8TEaJh6VR4W2589EnhXVzOnzqxgyJx7MHU0BVT2B1BZsxNjdTkZjzyLWKHsVwvdGzIbG4jvcjSeEIAXh2aQ/PyjSDTeM/slmgiib78B9bQ8ml9Zjim3kpSZy4Jq1XshMJBu+2DGdidWf65dqHXZgyX4CxEWqT+yEcFmR3Oj5yZG/sJJ5oMBtvZO2g6cJevJx/3e96KSuEgkigHeBBYAzcBPBEFY3tc+ti4zkmtvCvrYprPlWGrqSb/5kaDHAtCXFqPKzO6m0ObNbd1NQvNcMwsnvJG1rwly/sBus1JWtB5d0WlS7nwIc0NtSFfSgiBgqq9BsFqZ9YNfsO9vv+GNyTP565Jbgxq34+hBtKePk7vwOY+69L7A3NXB2S/fIn3qUqT1nR4bkkydOhWRSIJEIiM+Pp71n2/i5qWLyc/PJy8vD4Dc3FzWrtlARGQ4NpsZkUjCksUP0qVXdhvTYuniaOH7pE5aRHRG4GWMtbrjtH291+Et8bD49Ofh/uHb5+vCfz5/NjF3LfF5HvL0FJJ+9l2aX/mQqnVvkbbkQcSy0Cz+LrWys2DQU43N/f++4CRNZxcwX85VX+MP9ioBbf5x9Pu/Iennzw76BWMgEA5sJe7aXGSR/pdKX2xL/D+AGUgE8oANIpHouCAIp73tIImJDkm/2PbVW9DcOA9xiMqmusrOEDY0x699PJG8N7LuTzLUXxg7mzn71QdIIzRkPvG8ozRp2Ei/x/E6fm01L3z8Kil6I7cgIH32Zz53JOvrId5VUUrT1vWMvP7pgD0SdquFki/fIW74NLJl4yGdbk1L0lKnkZY6jZEjkpDJHD8qm81MUlIiy5d/RF7eeNdYy5d/RFJyEkajGRCdI/zEbnF1m93C0ZLlRGeOJX74tH7n5+3aahtKadi5irT7n0KmifK4r68Wker0MeIMXY7zIYIP/CBwJ8RhKuKfe5iWtz6lcuVrZCx7PCRJb4OdUAJFfwlwA90FrK/xB3Ms3lhbRf3GlSQ8/0ifXqJLFTadnsbNJxj33wcD2v+ikbhIJFIDtwJjBEHQAXtFItE64H7gJW/7iVXBu76NRaXYWtqIy+j/georDJVlpKQEP543F7yvkqH9QRAEajqO0PTFWmLnLCBqamg7/9gtZuoPbeB3X+7naZsNAYcS253NDZyIivZpDG/NM9q+2kX70QNkTV1GR1U+UqXabyK3GHQUb3kNWXg0IyJmud53b1oikcjPkXAcNpsZu92GINiormnmnnvu7jbePffczdo1G4iKjnVlrXd2nI/9C4KdE1WrkakiSZ3sW296T9fW2NHI2V3vkbzsXpTJgTeGEQSBxtPb+M2arQg4KgReXTC7v928QiSVEPvYnbS+9xmVK14l/bYnkCiD+40OZkIJBj3v61B4HEJ1rgaDmp4nmNtaqP70TWIeXIY8q//e2pciRAe2EjNruM8KbT1xMavkhwNWQRDOuL13HAhOucUHdHz+JZGLrw2ZW8ZuMmFpa0UVcz5O7xR5sRh9b3bvj3UdmzPFY614Txg6Gije+gaGjgasJgNnDn9I654vSXvgKaKvmh1SAjfWVlP21l955uQZnrHZAAdJHA1TcsIPKz8ybyrx85d0r78//BWte79ElZaFWddG9eH1NBbs9escW4w6ijb9h67WGmLFSd2+e3LSRNLTZhEVlU1crGOuu3ZtxmYzIwg2Wlpaufnmm8jPzyc3N5djx46Tm5tLfn4+i5cspLGx4dy2drZ9uQazRY8gCJxu3oLFoGXI7LsRiXr/3NyvjxM9r625q5Oi7a8Tf91i1EF4S+wWM9Wb36fr8El+//sfUx4fg1Eq5Q93+G+Fu0MkFhPzwDJkaUlUfvoyNrcExkDgJJTLzZXe8752knrnsYMBj3m5nitwZKJXffQKkYvnEjYxOCXNwQqbVkf9+qOk3e251NQXXEx3ejjQU+qqA+jlLxGJRE8ATwBIYqOCOqjpbAXWxpaQZtWamuqRxyUgFp9fFARiKfuzj6+a69UHP6ejugCLUYfZrCV8xGgyn3w+ZPFLcGSNNhZsp3PzLu68ajy/27bf9Vk7cPuTP8YfZWNPmeiG6nKUKekMm3CHS2vFPTEwNmeKq3lIzNAJtJYexW6xIJbJXLKltUc3Y+xoJEozhJSU3paLvquJ9vYSmlsKkcnCqK6p5sg3hWQNSeb222/nzJkzjBgxkrVrNpCUnMTaNRtYvGQhZ84UccstS1ix4lNKS2vYu+99socuxBgtRlt3lhGLvovNaqKxYK9rgea8Rh01RWjrHK1jc+Y/BnS/tjaLkaJdbxA5YSqaCYFbW1ZtJ1WfvYk0IZaM7z2EOSKca377o5Aps4nEYqLvW0rbR+uo/Pi/ZNz5VMDqcYMRAxGnj8ybis1sxm42Y9XrLksiDhRWvY7KT15BPX0iEdcGp+Y4mGHftZG4uaNQJgVmhcPFJXEd0LPQNBLo1f9QEITXgNcAFFlpQjAH7di4g8hFc0KaHGFuaUIel9DtPacVpcnI9Ul21X2fQLOWnXBfDKRMWIheW4fR0EbKLfeiHjain739g1WnpWbzh9iNJu65eT7vfbDG9VmzWEz2ojkka3xzo/ca+9yD09rVhc1gIPe6Z1yJbM7EQESCQy8+f59LprSt7DjGjvPZ8BKpgthhk2mrOEVy4kSysxd2S2LTdzW5RFmcWepO9/q//z2M3/7uWYxG47ks9NVooqLR6/VERcewZs0Gli511IkbDCY+eP+gg8BjpDQV7mfk4meQKlSubnLOskKb1UTdsa0kjpmDWCIlbeqNvb6/3WalaP+7KFMziL16fkDnEMDU1EDVJ6+hnjGJMVflsff5/2P51VP46YO3BTymJ4hEIqLvvon2lZuoWP4fMu586pKqJQfvZB2KOH3PMaTqcCRyOU1b17s6q31bEvr6glWvo/Ljl1GNG0lkiDLRByMsjS00fZlP3uvBJVdfTBI/A0hFIlGOIAjF594bD3hNagsW5up6zOXVpC95KKTjWrUdSCMdKyl3K9jZmzoU1rU/cC4CFBGxnN3zLmFZw0hYuBSJKizosd3RVXaW2nUfoJ4+Cc3S+Tz959dcn1mBpKhIho5fEPD4zoeeWKFkzNIXe2Wiy5Th5/Xi8+aTPH4BuqYytLXFRKTkEBadilgmI3bYZMp2LycuZyqjons/gItLNrlEWZwlYc6e4EVFZ/l4+QE+/XQlKpWCmJhIbDYTdrsVgPj4BNas2YhO185vfvNr8k9bsKfF0Hh4AyMWPY08zHFfOGVUdQ1laOuKSR6/wOUy99hWVLBTfORjxHI5iYtvDbyMrrKMmpVvE3XbDYTPnMS2p36GCLhn9yH+dOsi2sNDay2LRCKibltEp0JOxfv/Iv3up0IuGjSQ8EbWoYg9exqjrzaj30ZYtZ1UfvQyqrxcNMuuD2m4b7DBtH41KbdORh4d3G/wopG4IAh6kUj0GfC/IpHoMRzZ6TcDA+Y70X6xi4h5M31uNeor7IYuwkwOguzpEg+Vde0LnAuIqIwxaG1N1H+zl8QltxE+PDekxxHsdhpObEG74ytiH7kD1RiHNOtdL32HnS/9kcS2TjSxUSTOvQmxPPBsZVVmNiKZnKFX34c8zLNF11OK1lNeQd3J7ditZkZGea4JdXYpy8le5LLQ5TI1EomcktLN/Oflk2zYFMevf/1rrr76GiQShav0DKCh3sSbb+wm/7QFa3IktYc+Z/jCp7o1YpEpw5HI5GjritGkjSIhd6ZXz4wgCJQUrMPa2UHa/U8ELGqkKzpN3ecfE/v4najGjGD28QJUFsfiwy4ShZzAnRCJRGhuug6xOozK9/5F2h2PB5WMdyHhjaxDkfjlaQz399TDR9NVXoJ6+ICnBQGDr5TP3NJE1cevop49Bc3iy3sRY8wvRl/SyPCf9PbA+YuLXWL2NPAW0Ai0AN/pq7wsGFjbOjEcK2Dos8v837efm12wWhFJpFiMOmwWM8l5813kEirr2hc0Fx+k5vAGak5sRTN+MllPvxB0pnBPWPU6ajZ9gGCykPSLZ5FHqCl99EUODknnjh89xjV/eJH21V8gq20gIoi2rnazifq1n5Cw4CaiErxrovc8v+5/GzoaKN+7AkN7A1dNeBqx6HwIxWzRU1d/hOSkiajD4l1dygCaWwpJTppIXOxIauu+wWBooq4ukhdfeJWJE8sZN3bY+S5mBbU0NjpSO8JUseR/s4bYoROR9iBo93vDGaP3hvKKbRjKz5L+0DMB5y40V31N24YNxH/vYRRDHbrqr77yoevz+573z4UXSNOIiHkzkESGU/XhK6TcdA/qnMC17S8ULmSWds/niv7MafTFBYRlZaOITxzw4w8my99QXUH1ireIunk+4XMuDRXAQCFYrGg/+Ywh37kWsTx4Cr6oJC4IQiuw9EIcS7fjK8Km5QXkUu7vZhdJpQhGKy3Fh6g7voW0yUtCpqrma8Z6V2sdLfWnkUREknTzXYSHsObbCUNlGTWr30M9bQKaWxYgt9kpftLhnp1aVsV7/3yPu+6+Ed3OrxnyxI8CPo4gCNSv+xRlajpp8YGX7VV9vRZ9Yxmq6BRUyu5x+br6I642o5nps11/t7WX0dpa5NrOGSd3utnbW63s3lXY61hNzfkUlKwldshEGvP3IA/T9CoJ9OXeqGzYT8eRr4kcPxnBbgvoezee2Unn5l0k/vgJZCkOMhhVXoXabAHAIhazf7R/jW2cTSPAP53psCnjkERFUvvyB2humEv88DkhdZEOtDU5kOP3fK5c6NK6wVLK11x3mLaP1xL7yO2oxg/+hV7Q2L8RZXoMMdP90xXxhottiV8QCBYLuj0HyXzgmYD27+9ml4SF02XrJGOIg+BD6TrvL2PdatRTfvYLtKePE3vNAqImzwh5f11BEGgs3EHnpp3EPnSb64dW/MRPuzWgefjZ+2n58+tE3bbQlSPgD5wPTEEQMDc1MHqBfw1CekKmikSqimBsdm9tfPc2oxVVe9BEZhIdlY1SEUVW5rXdJFg9qbm5o1xURGXpOoZcfR+6xhKSxy/os02sN9R0HqV1zzYixk2idfdWJAqF3xZS/Ykv0O89TOKLTyGNi3G9v+b3L7te//gh/xXznPrSgehMK3KySPrJ0zT9+13MlbWkXHN7yEJa3jQFQkW8A2mt9nyuXOha7V5dGPU62g/uRQCip84acBe7YLdT/80G9AeOkfDDx5BnpAzqNqGhgKW2gaY1RxgfoLCLJ3wrSFx/6ATy9OReGeS+/tj7+3HJYuPRny2gxRp6bXNvD3+71UJF5XZa9+8gYvQEhjzz4oCU9NgMBmq2LsfW1kHSz77rIAZBoPTxl1wELgBDX/sdbZt3IVGHEZcZWFqD84EpkskZfdMPu0nY+gOLUUfdsa20V+czfcJzyOU9+o+7udKdFnh0VDZt7SW0tZeQPfR89rpTec19H8D1ukZSRvXh9Qxf8ASdNUXUHdvq0dp2d/N78q60V+XT+NVa0h94Ckl4BNKwML8sJEEQqD+8HsPR0yS88BTS6O45BAWpSWQ2t2KRSlkdABEHqzMtjY8h8SdP0/rOSso/+CdpNz+EPCb4hDdPC+xQEm8g1mqoniv+jhcsOo8dpGWXo8JDIpcPbDcyvY6aje8jWG0k/fwZJJGO7xWox+dSgGCzoV3+MekPzEKRELqqjW8Fiet2HCBu6nW93g/Vj12VlkntinK6ys5is5pIGDUrZM1KesZ87TYrNa2Hadm9FbFCgWCxoIhPGBACN9ZVU7P6XZRjhhP3xD2IZI7b5ewTP0VyrtBPAOb/6jmMdU1ot+wl67EfBGw9h48cS8ueL8mYdFO3pDB/0XzmaxoL9hI9JK8XgUN3V7qTlA2GNtraS4iMzOpmhYODwJ1dycAhwVpesZ0mUxmGtnqGL/wOqqhEZOeS7/rzxDQW7KXu2FZsVhOpExbSWXeWsv2fkHrPoygSHa1Z/bkfBUGgbv9qjIWlJLzwJJKI3t956S+fA6sVQiQzHAjESgWxT96D7sv9VLz9D6LvvZm4pOA6SHkiwlC6iQdaCvVijOcNkXlTsZvNCAysi72r/Cy1az90heXcy32D8fgMdoi+2oxEISVpSV5Ix73sSdxcXYetrZ1wD0k1wfzY3VfHiESOuLjNCoJoYJqVWC3UtB2mde92ZDFxpNzxILLo2PNzCCEEQaCpdC8dq7cQfe/NqKeO97rt1D+9SINGQ+vv/kPUsuuR+SitCt3PoSRMTdPWz4kcP5m44cF9H8FuRxERR27Sol6fmS16bDazy2Uul6nJTJ/t0k2PiR7ay3VeV3/E1ZUsOWkiVdVfAaBrrCBh5AykSsf2PicxCiLX/7rGckp2v0fK7Q+iSsv0uos3a0yw26ndswpzeTWJP34csbp7zseM00W89493yP3XrzCHQNc8WIhEIiKum4liWCbNr32EMbuI5Ktv9SkBM9QW7kAh1LHmCxW7lqrDiZu7cMDGF6xW6o9sQrfvMLEP34ZqbO+8ncHUWSyUMFfU0PzZYcb9+35E4tCWzV32JK7fexj1jMkexV2C+bG7r44BBJMRkVxB/Mjprph0fxaZJ7dqz/csRh01DV/TdnAvyqQUkpfdiyrjfC/dUD+s7CYTNTs+xVJVR+JPvoMsKb7XNqP//WsKvvsrXrj3ZhpjY+hcvx2xOoy4ITP9Opb7ORTsdgw1VYwe53/1gDssBi2N+bsZN+p+6huO9opnO0Vc3F3m4Gh6IpHIPVrhTtJPS52GTKpCJ9chVUUSOzSP+pPbkSrC/FqsJeTORCKTo4pJo3jn2yTdcg9hQ4b1uY8na0yw26nZ8QmWukYSfviYx74C7//9baSCwKnn/peJ/++X6ELQeyAUkGelkfTL52j/dD1lr/+Z5BvuRJ3dd7LdYMqm7guhXkRc7EVJKGCsr6F2w3IkMVEk/+p7l2UjE2+wm8x0vPUBQ75zbcD66H3hsiZxwWpD//UxMh98NuRj91wdCwJ0lRRScXYr4aJo4nKm9utK92SxO98z6VoxKSzoik4RPnIMafc9gTIp+B7qfcHUUEf1mndQDM0k8WffRaw4X9507NlfE9VlYPh/f4NJoWDoG38AwFxVh3brXrIe99+N7jx3iuR0aj56A8FiobX0SFDei9qjXxCTPZmOzopu2edOOEk6OWlitzi30yJ3wvmZ03WePXQhdpuF/adex2azEDtsMnE5k5GpIv1S5QOHxa5JG0nh1lcddfw+lF71ut/sdmq+/AhrUysJzz+KWNnbyh53thyp4Ih72MWiQUPgToiVCmIeuBXDySLq3vsIZW4OyTNu9hoaCpXnbDDURH9bYLdYaDj+BbpdXxN12yLUMyf79Jy4XBLcBEHA9NnHhI9KIf7a0Op1OHFZk7jx9BmkCbHIY3tbk76grx9+z9Vx7KxriZp4FWX//RMdOi2CzUZKnmepTKe1rclwXNTYnCkIgoChrQ69TItYFUZ7wxmiJk8jfsGNA58lKgg0V35F+4pNRN2xmPCZk7p9vvuF3xPd5WhqUfD0L8h+84+O/axWWt78lKjbFiELQFpVqg4naspMKl77OwkLbkLWYAoqs9/Y0URb+QmmT/o+Ag7y6mlZO9XY3AkauhM9nI+bZ2VeS/bQhURGpHHgyL+wW4wANJzcjuycBe5Nlc9beaChvYHCba+RsHApEaPG+fTd3O83wW6n+lyyYfz3H+m22HLHyj+dV9C788dP+HSciwHV2BEkvPAkLa9/QsnLfyD6thuIS7+qV5VFoBapVa+jfs1H6IsLgMFtxV9O0J8ton7LSmTpyST96vuuZEtfCPpySXCTn95J85l6xv3r/gE7xmVN4vqvj6G+akLA+/vrvpOEqcl45FlqP32XhjN7MUeLSdSMRqpQ03L2sOth7tT5Nna2oI5Pp6xgPV2lxYgkkvNWd0q6xxWrp4VFMFaG3WSidtcKTGXVJLzwBPLUpG6fr/rNv8hsaXf9vXLa+fPZsX47kqhI4jID78DT+MValCnppCfMgIT+t/cGQ0cDRZteRhEZj4DQzbJ2WtVxsSNpbil0kbeToHsSPThKz9ray0hMGIfdZuHIybewW4xEJOcQFpuCWKLoVTnQcwHiydOia6zgzLbXiLv2BiLH+n9vCjabg8A7tMQ/95BXAp//zQkU5zrJWcRijmd7j7cPBhi+OYW5pILweTPR7fwKnehrkq69pc88AV/Reewg+uIC1Dmjulnxg806H2zzCRTm1mbq96zFUl1H9N039ar9dhK0saiU2Efu8EjkyvG5KItKUY4fGOv1QsBcXk3tW7sY89d7kKhC13CqJy5bErebLRhOFJI8+5aAxwjEfSePiSPrqR9irKum45sDFB1+Hau2AwSBuqLdSFRhmFtbAGipPI5JYUKVPoTYWfOQxcb362rytLAINFZoaqiles27KIZmkPSLZxEr5N1WyWv/8RaTyqtd2/9j0dX8/bbFgOMG1e08wJDHfxRwNrq28BRdJWcYs/iHPu/jzbqt3L8Kq0GL1aClLuJINwJ3ZpY71deiorJdMW65TI3Zoqeiak+3+HlzSyGtrUUUR6nprCkibcoSbGaDR5e5t4S2nuRu7GjizLbXsJuMCFZzt219eYALNhvVWz7ErtU7CFzuvQTvlZeXu17f+tJ3vG43WOCelSxWq9Dv/4aalW+jGDGUxGmLg9Jfd/8dh7KpSahJ91KJ+XuDrUtPw7Et6Pd/Q8SC2cQ9eTciD3oA6pmTMRaVYjxRiH7fYY+WtvF4PsYThRhHDEWefOlZ4rYOLa2vvkv2cwsIyxjY3gGXLYkbT59BnpECIhGt+7YH9EMLJqFEmZyGcsltyPZtp2nrelQZQ4mdswCJOpyOYwdpP7CbqAlTkYaHEzF6vM9z66+Jgi9wzz6PunMx4TPOu8+dq+SZp4q6EXh+cryLwAWLlZa3VhB9140BibqAo/tZw/oVDLv6QSRy32O1TutWW19C1uy7XIQqUYYjlilJihvfzbJ2ZparVPGuJift7SWIxVIslq5ebnWnqz0iIg1FeAwddUXEZk8kPGkIHZX5fn1Hd3I3djZTuO0VYudcD4Kt17Xq7wEu2GxUb34fe5eBuGcf7JPAwREDF2wCzRFqjmdn+DXvi4GeWcnhs6YQNnkc2i92U/HG3wm7ajyJE64PqCuat99xsFnfoSbdwaKg5i/sJiONBTvRbttL2KSxJP/vD/pMXJNEqIl95A6XseAJl3KpmWCx0vnm2yTMH03s7NB2jfSEy5bEDUfzUU0YfdFXt56sAOns65BFRGI3m/2eW39NFPqDzWCgZtvHWBubSXzpKWTJ3X3Yzh/NrWcrEHC07v4mI4Vlv/qea5uOdVuRJsQSm+Jf/Pq85TKF+nWfosmbSkTikP53dENszhS09SV0VBfQUnyIpLFzsVstdFblY7dZUKmiu2WduyuzNbcUEhc7kuKSTbS2FnHGbqWtvYT0tFkut7ozFi5RqLCZDESk5NCYvwdDWz3aumJsFjOpE6/3a87GjqZzBD6fqEmeQw99PcBdBG4wEv/sgx6tm57Iee33fs1xMEKsVKC5eT7h106nc+NOyl7+I2HTJ5Iwbh4yTVRAY/a0noN5JoSadC+1LHSb0UBT0W602/aizM0h8affRZbom75Df6Vkl2qpmSAIGFd8iCxaTfr9sy7IMS9LEhfsdgwnC0mYdD3idEfW7sXKaO2LdK16nauP8IWAoaqcmrXvoxo3krjH7/RIBhKVgsgFs/n1wjmM/N1/GdLY0o3ATaWV6PYeZsgTP/bbje5cUBlrqrB2tDFi2gPdPvdFJ16mDCdr9l2u7QA6qgtQxaWRpB7RZyKb013ubHZiNutoay9BIpG73O8qRTRiqYKYIROQq6OJyhxNR2U+FqMWbV0xiPxrZ2/saKRgy8uo0rMIHznW63beHuCCzUb1pvewm8zEP/NAvwQ+rqSCiC4j+8YOvAVwoSCJCCf6ziVELpxD5+ZdlL/6Z1QTRhM//loUCUn9D+CGUC7qLzXSDRWsnR00FexCt+cgyjEjSHzhSZdG/7cdwo61GKrbGP3nu0JeD+4NlyWJW6rqEKuULlnHUNSC9xwjWIIPdYJaX3C1Dt2+n5gHlhE2wXOrw4UHjvLK6x9THhvFNX/6CXf99Onu41gstLz1KYkLbkEa7n+dZ2TeVGxGA+2HDzBywVO9+oMHKpLTVnmK1MixpKV0737Us0wMHFnoTmKvrjngio3b7BYKW3fQWnGMYfMeJjLlfHMC1dhELEYdMmWEX9nzhvZ6ira9SljGELT5x1GlZfinxGazUbXxXQSzlfjv3t8vgYvsdtb+7r+IcLQazXn1t9g86CNcqpBoIhxkvnguuh0HqPzwZeTpycSOuxr1sJE+9Qy4VF3WgwGGmkqaT+7CeKKQsGkTSPr5s0jjY/rf8VsC6fEvqd1RwJi/34tEGdp2130e94Id6QLCWHAWZW7wHWL6+sG3HdxL664t2Mxm4gNQOfI1QS1YYre0t1Gz8QMQiUj6xbOIZDI6N+/qVd4RodXyyusfIwKGtLQT39pBU0z3eHf7mq3IUpKIHBNYxr8kTI2proboabMJi+ld8x6bMwWb1YTNYj5Hmr2/r8Woo3zPx3RUF2CzmpBIFXTUFBIeH4bZou8l7OJeJtYzVl5esZ2YmBFodXUUVW5CqYkn9+YfeDyuL2ps7p4ES1cnRV++Rvz8G1EPG4kyNd0/LXSbjaoN7yJYnQTe/0916f5vcNJYW3jYZUXg7pCEq9HcOI/IhXPQHzxO05ebqN/yGeFXTyVuyLQ+4+bfVuu5J3x9rthNRjpPHaPt5H5sOj0Rc6cTc89NvZQBv+1Qlu2j/MP9jPnr3cijL2xd++VJ4kWlxIwYWN1kUY///YWvCWrBuP+a6w7TtnwtEQtmE7lwDiKxmM7Nu3rVX8a1tnP4x793fRcr9CJwU0kF+v3fMOSJH/s1B3d0Hj+MVaclM8Pz95Apw5FIFVQfXo9EJvdImi3Fh+ioLkCTNgq7xULdsa2AiMqqPch6CLa4C7v0lFJNTppIW9tZWluLaO8sI3PGbcQMnRhU1zSnJ8Gsb6el8jgJi24hckwe4KcWutVK1cZ3wWYn/mnfCBzgr++scr2+8ReBdey7lCCSSQmfOQn1jImOaoldX1O6+Y8ohmUSM2Iq6uG5Afdjv9zR13NFsNvpKi+h7exBuo7loxwxFM3N81GOGR7yDomXAwwnC6l7Zxu5v78dZYr/ehnB4rIjcUEQMJdUopp/14AeJ2rqrKDi2b4mqAXi/rMZDdTuXIm5vJr47z+CIivN9VnPrM/syhq+/J9/diPwYa/9rtt4gsVCy9srSFywLCA3Ojiy0Zu2fM6I6x5HLPZuIfbVstNi1GGzmEnOm0/CqFk0FuwFQCJTkZV+tcd4uKcuZDJpGO3t5WjNTahiUhg6515UUUndjuMec/e1mU1szhRMuhaay4+SfPOdhI8c48OZ6Q7BaqVq/TsAxD19HyIfG5Y8teFLJOfU2bRKObWx3x43p0gkQjEkHcWQdKLvupGub07R8tV+6jasICxvFFGZEwjLHoH4IjZ/GWzwpABorK6greooXYdOII4IRz19Aim3LfpWSaT6C2P+Wdre/oRR/3ML6uyLkxdw2d3V1sYWRApZQKUo/uBCueX8PU5XWTG1n3+EatxIkn75XC8xEPesT6nZ3I3AbUD2G3+AHtboeTd6XsDfo3HTajQTphIWm9btfYtRR2PBXuxWM2KJgoTcmV7d1i3Fh6g7vsXV6jNh1CzsVittZcd6Ka71RHXNAcortqPXN6KjHZvZwJBZd3eLfbsfxxmbB6g+vN7luu+LzLtaamitPEHKbfehzj6fWOaz69Jqpfrzt0EsJu6pe3wmcIAXP9vien3d//7A5/0uN4iVCsJnTiJ85iRs7Z10HT5J8+EvMa9djmp0Dpr0saiHjRyQrn+XEhxqibPoKj9LR81JDMfyEavDUE0eS8IPH7uSqOYDjAVnaX3jA0b8YikRuakXbR6XHYlbKmuRZ1y8E3qxYLeYqT+4nq5DJ4h56FaPHYJ64s49BwFHO1EBGHpOTtUdprKqoN3ouuICjLVVDJt4Z68M9JbiQ+dc4g54cqM791EnZqFJG+WSq5Upw0mdtIjmMwcwGttRKqM8Hl8Q7BgMDoGdhpbTRKWOIPuaB5CFebYwPHkDbBZzn0l3tfoTNOxdRcpdjxCW0b1szpeQiN1ioWrd24jkUkfbV6l/8WyDQobaZKEuKpL62Avv0huMkERFEnHdTCKum4mtQ4vheAHtx49Sv3ElspRElKNz0MSORJmW+a2w0gW7HVNDHR1thRjzizGdrUCekYJq/CgSXnjSY7OjK/AMw6kztL21nBG/uBnNuPSLOpfL7s411zYgS/Wv7ORSh6G6gtr1y5GnJ5P0P99HEu6DlWE08uG8WXw4bxb3bNvHx9dc1WsTwWKl1SnqEqAb3W4x07hhFVlTb0UildNUsM9h2VrMSGRyNBm52KwmlyXuyY3utIwjknPQ1hWj1CQiU4W7FgIJo2ZxonwV44bchlLhiOXbBRs6XT019rO0lhxBJJYQnTUeRWQ89Se2oY7PIDZnile3uftnSWPnYjHqkMjkHudX3XKQpu2bSLv/CZTJab0+7y8kYreYqVr7FmKVktjH7vKbwAGm/PXnfP2j3/LA9x/xe99vAySaCMKvnkr41VMRLFZMxeUY84tp2LkWS10j8qw0FMOyiNAMRZmacUnInvbn4bGbTRjratBqSzAVl2M6W4E4PAzlqGGEX30VcU/egzhMFdCxL5cGJYGg68hp2j9Yychf30Lk6N6/9wuNy47ErfVNRKZ6LqG63GC3WGg41583+p6bUE/x3vf7/E52yh7/CS3AuBvnIZk3k+XXeW4h2rFhu0PUJTlw1aTWPV+iTElHk+rwDDhJ0GY1uZG5goRRs7xmo1sMOiJScpCHRQGgb65E11AKOKzilLwF1B77gq+P/BOJPAyRWIxZ145EriQ6cyxD5tyLOs6hRW/oaMDQWoMmI9ej29ypBNez3M1bdnpF9Q7aDu4j46Gnkcd5Fn/vKyRiN5upXP0GkshwYh+9w2PL3L6wdN9h9AoFWyePZcx/fuPXvt9WiGRSlLnDUOY62r/aDUZMZ8sxFVfQfGQH5s+qEYerkWemIM9IJVyZhjw+CVlU9KBK7HJ6eAQBNHlTMDXWYWqoo0tbjbmyBmtjC7LURORDMwmbPoGYB5YhiQpNmPFyaVDiL+QFu6j7aBe5v72N8OGDw1i8/Ei8uQ3Z6NAl9QzWpgSGqnJqN36ELCWR5F9/3+fkk5InfooYeAeo//xLopQKjz9Cc1Uduh0HGPJE4Nro5pYm2g/tZ/SN52O0Tiu3MX8fyXnzAcGrm9q9nAwgItkRv1bHZRCVnutaEIjEYlInLiI5bwFmXRuC3UZb+Qlqj25GERFLePx52dGOynw6qguISMru5TZ3V4Jz/8yTCI0g2Ck9swF9cQEZjzwbkIKY3WSi8rPXkcZGEfPw7QERxN/fWoFdJOKRZx9k1/j+W5peQW+IVUpUY0e6QlCC3Y61oRlzRQ3mqjpaivdgqWnAru9CmhiHNCEOaXwMYZJ4pJooZJoopBEaxKqwoKob+oLdZMKq7cDS2Y61o50uexOW1kYkMRqa922j9avtyFISkaUloRiWSfi8GchTk3yubPAXl7IsaiAQBAHxgU1UrjvK6D/dNeB66P7gsiNxW3tnwHrennCxZVt7wm4yUX94A/qDx4m5+ybCpvjWyhLg7OM/cfWXfhj4++JrEXv4EQo2G63vrCTq1oVBncvGL9YRPeMa5Oqobu+7J6jF5kxxJYz1hLOcLCI5h/DELGKGTqCjMh9NRq5HHXOxWIIy0iH7KB05HbFE2mtcd3LuaV27K8G5f9az1ajdZuXssRWYW5vJePiZbklSvi76bEYjVStfQ5ocT8wDywIi8KfXf4kYEAsCv/74c+ZeIfGQQCQWI0tOQJacgNqta5/dYMLa0ISlsQVrUwu6pgpsZcextXdgbdcimM1IItSIw9WIw1SOfyoFIrkckVyGSCZFppcjEonPJY8KCHY7lnALgtWGYLYgmMzYjSYEgwG73oBN34W9Uwc4YvySaA2SaA3S+BhU40YQMX8mssR4xBHqAVtAeMKlKosaCAS7Hcvnn9J5ooqxf78XRfzgyta/7Ejcru9CogpdjGYwKTzpiwuo+2IlipwhJP/v877Fvs8h/6mfIbPbAUcS2y8fuQNZj77hTmi37UOkVBCXNSPwuZYUYW6q7yWtCr2J1D3+7O5Sd27nJG2pQt1n/253eHN/93y/p5Xt9BIgElwufvf52ixGir56D5FEQvoDTyGWd8/+92XRZzN0Ufnpq8gzU4m+9+bAXLSCwAurz2ek3/vDx/wf4wr8glilQJ6VhjzLcxxUsFiwdeqw67qw6w3YuwwOQjaZESwWBIsFS4QV7HZwqveKRYgkEsQKBaJoGSKFDJFSgVilRBwWhiQiDHF4OCKl/IKS9LcVPWP9doMJ/fvvYDfbGPP3e5GqFRd7ir1wWZG4IAgIZkuvB2swGAwKT1ZtJ3V7VmMqrSLm/mWoxgz3a//9P/wtaosVcDw77v3eQ+wb59lqsza10LlxB5mPfD/gh4Zgs9H4xVoyJtyIzWKkMb87QfckUm9yq87tepJ2X7Xk4JsGu7djO70EABKpols83NLVSf7Ol1Emp5G4+FaP8ev+Fn1WvY7KT15BOWIoUXcuCfgc//qDNa7SwMrYKGrjvj114YMVIpkMaWw0DFB1wLc5mexCwT3WHzZ5LO2vvEXEyGSGPDsfcQAJpxcCF4XERSLRM8BDwFjgI0EQHgrJwIIAgtDNshkMMe1A5yDY7TSV7KFj7TbCZ08h5qHbetV9+4I/LL2ef76zAhGw9IUnOTZiqOfjCQKt760mcuEc5DG+dSPqCateR8P6lYjlCqIyxtBwame/VrMnUnYnYneLvP7kDlfGeM/tnITtbVHgaduex3ZY22YQCd3mY2hv4MyON4icMJXYq+d7JV+pOpzIvKker7dV20nlRy+jystFs+z6oCyrB3cecL2+wa1BzRVcvvi2JpNdSDhj/NKEOJr+8G9S77qK5KWTBrUX5GJZ4rXA/wHXA4HVOHiCSAQiEYLN5rKSBkNMO5A5GKrKqdu2CrFCTsILTyAPoGwuprmNDk0462ZP5ubDx1l9VZ5XAgfo+uooNq2OhFGBn6eOb75CV3CC+FGzEIlE/VrN4Nn13Zi/j7rjW1ytP7250T0Rtrdj+tJgRaYM79VqtLPuLCV73nfooOeMom3/jj4XZJ6ut6WjjcrlL6OePhHNjfO8ngtf8NCWPS6N9OZwNdorOtaXNZwWuHJ8LlF8e5LJBgL9eTPE4WFooruoXb6KnJeWEDUh8yLM0j9cFBIXBOEzAJFINBkIWaGdSCRCrFJiMxpcD9jBENP2Zw5WbSf1Bz7HeOoMUbfdQNj0CQGtAjf94m+Mqm2gTaVkwr//h0effxTwfhPbdHraVmwg7c7H/C5zcofdakOekERK3nzAt8YhHuFs+enW+tMTOXt6z1uc3dO2/RF7ddthGnetI2LUWNQ5o3xakPW83ubWZiqXv0zEtTOIvP5qX8+AVxwelsny2VOYUlzO7Q/cinbbPqSNZzE1acEuII0KI3xYIuaMCcgyUga1FXEF3eHp9+m0wKO4YoEHi768GfYuA12fLMfU2MnYf96HMjF0CdIDicsqJg4giYrAqu10kfhgiGn7Mge7xUJT4U46v9iFetYUkn/7I8QqZUDHe/Pvb5Bb2wBAtMGIzGTGcs4N7+0mbl+xkbAp41ClZvQe0EfYjEY6Du9n5PVP9xuLdsJb/Dph1KxeWeueFgTeFgm+tjX1ZrULgp2yki/QnjyCJm8ybV/tQh4b59OCzP16mxrrqfroFSKXzCPimmle9+kP7g/3k1lpfK+1A1NrLcbX3yd6WjYR4zNQJGoQSURYWvRoi+poe/09JCoZqrnXEnbV+KAWZ4MJl3Ns2NPv89tWzjWQ8HYuTeXVdLz5PpqJWQx/aQli+aVDjZfETEUi0RPAEwCS2Kg+t5UmxmNpaUSZ1LvV5WCEYLejPX2Mxl0bkKclk/jT7yJLDCweDfD/Xn6f604Vu/4+MDTTReDg+SY2ninDePoMQ558KeDjArQf3ENY9nBUUb7rLvckW3dSD8iCPwdP5NxYsJe6Y1uxWU2kTnC0j/W0CLBZzRR/8zFWbQcZj38fAGl4hMuF7uui0FhbRdUnbxB9x+JupUqBwPlwf+rzbdxjs/FppJIVT19HzIwcRJLe2e1xc0eR9cRc2o+UU7N8H81bthK+7GZU4/qX4x3suJxjw55+n9+mcq6BRs9zKdjtiA99QcsnBxn67HXEXX3p/T5CTuIikWgn4O2O2ycIwix/xxQE4TXgNQBFVprQ17byzBS0neVEkOfvYS4oBEGgq7SYxt2fg0hE7CN3oOwjXu0Lfrp8LUsPn3L9vWvEUB544clu2/S6ia022t5fTeJ1tyBRBmb5g6N+ve3AHkZe/7Rf+/UkW08WtK/Z5j2367UIEETd//cAs76doj1vo4hPIv3Bp12a2v56c7oqSqlZ+TYxD9xK2MTgFQSV43O5e9OX/FBnIg6QxISzffaIPvcRiUVETx5C1KQs2r4uofzVNVgPxqJaehvSuEtXX/1ytkyvEPaFg7W1Hf3y5dhNVsb9636USZeG+7wnQk7igiBcE+ox/YFiZDZtH66F6cGNM5BZ7YbKMhr2b8TW1oFm6QLCJo8NWs4xs66BJ7/c7/q7OUzVi8A9QbttL5IYDeG5vovGeEL7N18RlpXtlxUOvS1hT5nofVnr7qTenws9IXemV/1zAF1jOWd3v0vUVbOJmXltwLFk3Zl86j7/iLgn7kaZ27tLmr8wHC+g8/1P+VBncpWVPfsX31vtikQiYqYNI2piFjUrDlL32/9H2l3TsE2ef0m62K8Q3RUEA0EQUJ7ZQ+2rO0heOpG0u6Z59GZdKrhYJWbSc8eWABKRSKQErIIgWIMdW5Gdia1Th6mpAUV84O30PCUwBUvshqpyGr/ejKW2Ec2N81DPmBRQswtPsInEdMmkhFms1GrCmf63X/S7j7W1nc5NO8l8+Hs+E5apqYGmLeuIX3CT6/wKNhttB3aTM+chn+frjYg91YZrMnLR1pe4upd5I+v+MuH7SrKravma5h0bSVp6F+HDc33+Hj3RXHuItvWfE//sgyiyg8tsFaxWrJs/o2NfMZsTNYjaugA4NiYVo8p/0QmxXEr6vTOIu2Ykpf9vC9Yd+UTcfSfyzG9f178r+HbC2taJcdUntNS1k/u72wjPGRz658HgYsXEfw78yu3v+4D/AX4d7MAisZjw2VNoPrWD1Lm+Wys94SmBKZBSMYfb/AxNh7ZhbWol8oZriH/2Qb96RfeFaSeLSG9qZcW105n015/yl7dX8vQzD/q0b/unGwifOx15rO8tCJu2rENf7NAyT7v3cQC0p48hi4lFHed7Sz4nEXvr0+1OyC751aRsVGMTvZJ1IJnwdpuV0oJ1dJUWk/7wd4Na+DUW76Zz43YSfvg48rTgHg7W1nY633gHeYyavJcf4ppb/wk4xHq+94c7gxpblRpD7h/vpHHLKSr/+QZx83KRXHsTYuXgU6O6gisIBQRBQH56J7Vv7SZp8XiG/+ymSyp5rS9crBKzXxMCwvaGiOtmUffzv2IaXY8iIbCHqacEJn9KxQSrlc7Tx2g5vBNsViIWXoP6qrxulnewWba5ZZV8/I+3ANg5bjhNcbEuAu9vbGNhCabSKlLn3+PXMeMX3NTtf4C2r/eQOsK/2mdXN7Mefbo9Jbb1JG2XgppRR/3JHagTs6g//iVpU29EpfGdhM1dHZzZ/x7SMDUZj38PiTIwyQJBEGg4thn9V0dIfPEppPHBNUcwFpXS9sYHJN8ymdQ7pvL427vPq7OlRmMNwcNHJBKReP1YoqcOpeL1nbT8z1+IvH0pqgm5V0rSruCygqW2Af2nn2I3Wxn9hztQZ3vuNnip4vJYivSAJEKN5pYF1Gz4kKz7nkUsC40Mqy+ZyZaOdppL9qPf9TXSlESiblmAcuwIjzHvYLJss6rr2Ph//3E93F99+UOW/eI5n8YWbDbalq8jcd5NfkvUKuITXRY4gLGuGqu2k6h0hwva1yQ0dyJ2j1N7cpV7srDdO5wpNQkYOxoByJnvm4a4tr6Es3s+IHrKTGJmzws4J0Gw26nduwpTcTmJL33H525y3iA9/iVt7+0l58UlRE3KAmDjgjHcsO0UCc16Hvmvb14WXyGPVpPzwmI6jlVQ+q/1WA/tRbX01qAqJK7gCgYD7EYTwu4NNG0+Qfq9M0i6ccIlHfv2BpEg9JnsPeigyEoTkn75XL/bCYJAy+sfI5jMpC15yJVlPBCwW63oi/NpLfwac3E5YVPHO9zU/bhUA7XElQYjhc/8ykXgdmDIm3/0eWztl/vpOnKKzDuf9tvq6pkX0LBhFSKZHLVZ3S0JLW3ykoBKxJyLAGfTE+dioOfiwBkz16SNImn8PJ8tcUGwU1G9k9b9O4kYMYa46xYHnLhot1qp+eIDbJ064p95AHFY4OKDgs2GdeMq2g+XMfI3y1CldtdCj2zTM/xsA4enBFfB0BfsFht1qw9T8+lBEheNQzR7MeIAYu9XcAUXE4Ig0HXwONrP1hM5Lp2sx69BHjt42kgHgv0L/vSNIAgeyzEuaRLvjwQFq5Xm1z7C3qkjdcn9yDShK6sRbDa6ys/SVn4Ew9HTyFKTUM+YSNiU8QHpm/uKcJ2OU9/7jYvAbUD2q79F8HGRYtN1Uffzv5Bx39MoEpP9Pn7rvu00bV1P/PwlRF11NaV//R/ic66i/sR2V2tRX5uP9AUnSTsXA+6knTXbkevg73GsRj3Fhz/GZugibEg2rXu+JH7+koDEgGxGI1Vr3kQcpiLuibsQyWR+j+GEe6ekEb+4GWm4o9RParbys79s5HfPL8IqFSEMUG/onjC3aKl4czftR8rJeHA25tw5QVdPfFtwOQvRXAowlVbStXo1drONIU/PI3JMyARBLyr6IvFL2p3enztaJJUS99S9dG7aRfnrfyXi2hnEj5zTrf+zP7C0t9JVWkxnXQHG08VIk+IImzQWzS+fc3QvugA46UbgAjDstd8h+FEm1LFuG2GTxgZE4NA9L0B/thB5QiKJo+cglYd5r88OAJ4ak2jrS+ioLqCl+BBJY+f6dBynBa+ISqDi4GdEjM4j/rrF2IwGJEpVQHK8Vm0nlZ++hiI7I/BWos6x2jrpeOV11MMSGfrcgm6dkv7x0idMOFXDgp2F7L1qKC/+5raAj+MP5LER5LywGG1RHRWv7sC6+jDqm290hIWuxMv7xOUsRDOYYWlswbx5LdrTNWQ8NJv468YgEn877tXL2hJ3h6Wxhc712+k6cgrl8CFEpIxEmZyGLCYOSZja9SAW7HZshi6s2g4srS3ozbWYq2oxl1Yh2GwoRwxFOXo4qrEjkERFDvj37Yn7vtjNbz/dgABkv/wbbH7EtC31TTT8/r8M+c5LIal9r/vsQ5RpmWQkzux+HDfXN/RvMQcq5uLTHE9sp+abDYhkClJuu4/wEcEJr5ibG6n8+DXCZ00mckngteQA5pp6Wv/9JkmLx5N617RuY8lNFnbc+HfAsVibs+lH2C5CPE8QBNq+OkvFW7uRRapQLlmCMmfIBZ/HpYIrlviFhbWtE/uujTTvKiT5lkmkLJuMRDVwntCLhcvWEvdH9EGWEEvsI7cTfdcSDCcK0ReV0r7jENamVux6A6JzrkrBYkWsUiKJikQaH4M0OYGwSWOJunUR0oTYi2OJ2O38++UPeObp+/ng+quJMJr54NppfhE4OPTRIxfOCQmBCzYbuuICskbe0Osz9+Q0oF8Nc/ft+3LH+2vlm3SttNSfQhYdS8pdD6NMDE6K11BZRvXKt4latpDw2d67svkCY1Epba+9T9YTc4m/rvfC4ud/3OB6vW3OyItC4HBOKGZGDtFXZdO47TTVby/HnB6L4vobUAwNXGf/csUVIZoLA1unDmHfZhq/OEn8gjFMePNRZJpvZze/S5rEA4E4TIV62oRuWtaC3Y5gtoBIhEgmHXTxv/LHf4IIGPHTPzH/9y/y8s3X+T2GsbgMc2UtaYtDk91srK1CGqFBJJG6lNXcu4XZLGZsVhMxQye43vOGnjXhvjQuccKTdS4IArWdR2ncvJboGXOImTE36GuqzT9B/cYVxD52J6qxfcud9gdl2T5qX93G8J/e6LHVodhqY97eM66///j89b22udAQScQkXj+W+GtzafziBNWvvUdYZhyK6xaiyMm62NO7gm8JbO2d2Pd/QdOWU8Rdm0veaw8jjw2uIuRSx7eOxD1BJBYj8kHo4mK4ykofe9EVA89pbA1oDEEQaF+xkfg5NyAOIgHLHV3lZ1EPzfFaEiaRyak+vB6JVNEvGbtb2P2prvUkbU+SrKUnef3rTgAALo9JREFUVmNqqCPtvidQpnRPbPGkutefEl9D4Xa0W3eT8INHg1Y3k3yzhfJPv2b0H25Hne05k/79J95yvT4yNg1D2ODJEBfLJCQtmUDCgrE0bj1FzTvLUcRHoJg3H+WYKzHzKxgYWBpbsO/bQsuuQuLnjWb8qw+jiPt2k7cTV0jcD1zopJXiJ36C5FzKggAs/Nl3AxrHcCwfwWQhcuzEkM3NUFVBYsokIpKzgd6k2x8Ze0N/LvOepO1+nLaKU5QfXEXkmAkkLb3Loz6AJ9U9b0p8gt1O7b7VmAqKSXzp6aCahgiCgH3rahr3nWHM3+7ts9mCptOIVSxCbBd47k+Bqw4OJMRyKUmL80hcOI7mnQXUfLoe/dr1KOfORT11vCs8dQVXEAxMpZVY92yj41gliYvHk/fGo8ijr+QauOPKL80PXMjuSWee+Alym9319/Tf/5i6BP8FOAS7nY7PviBhzpKQhglM9TWEjb2pF+mGqpWoN3hSb4vNmULpyTUYaypJuf0BwjK911J7Ut3z9J7dbKJ64/vYjSYSf/J0cDXgVhvGVcsxVLYw9u/39hu7W7LyWRLq2lAbLAiDXJxCJBETP280cdfm0v5NObUrD1K/ZgNJi/OwT5gbtPjNFXz7IFhtdB05hWn3TiytepJvmcSwHyxEMog8UoMJV0jcD1yopJXPf/0PFOcIXAB+eudNARE4QNfB44hUCtRBNPXoCbvZjK1LhyIiptdn/sa03eFL9rn7okEQBGo6jtC05XMix00k6zs/7leBzpPqXs/3rJ0dVK56A3laEnHfuTconXu7yYz+3bcR7DD6j3f2mTmr1hl585n3uPeNR2lMvrRahYpEjran0ZOH0FXeTN2ab2j+5Z+JnjIU8dQ5KHKyrrjar6BPWNs6EB/bSeOmEyhTo0m9fSox04ddliprocQVEh+EqIvWMKShmXCzhaceu4PN0ycFNI5gs9GxbhtJ198e0geoVdvhSGoTdf9xWYw6bFYTyeMX+O1GB/8WAMaOJkqPfYZNryP1nkdRpQaeKe0eE7d2dlC94g3Cr5lG5A1zgzpvNp2ejlfeQJUaTfYPFnarAfeEV773Aem17ax84FXuff1RutSXpuURlhVH9vevJ/PROTRuPUXDh5+ilYhIXDQey8hZV0qvrsAFwWbDeOoM1kN70Z6qJnbOSEb97nbUQ3xvyvRtxxUSH0TY9PO/8c7caTzxvYcRWa3IugyYIwN3R+oPHEOiiUA9NPie1u6wGQ2I5PJeWektxYeoO7aVtMlLAlJr8yWObrOaqazYTvuh/cTMnkf0VbOD7ontjImbGhvQleQTc99SwqYE11/d2tJG279fJ/qqbDIfndOv8ITUYmNolSNxMb5ZR1fYpV/rKo1QkrJsMsm3TKLzZBWNm07Q+v4f0UzIRDJxBsrRw0PWivcKLi1YahsQn9pH49ZTKBIiSVw0juEvLbksa7wHGldIfJDg09/9l9y6Bv6wfC2aLgOv3TgvKAIXbDY6N2wneeHtIZylc3ABu6Grl9Xck4R9cY/33MabBS4IAm1lx6g8tgFVWiaZT/0QmSYqJF8nMm8K2vpidGUFxH/vYRRDfW+p6gnmmnpa//UGKbdMJuU23zwSrz37nuv1V5OHwGXkehaJRGjGZaAZl4FVb6J5ZwFNW7fQ/t6nxM4ZiZA7DXl2xhV3+2UOa1sn8uL9NG3Px9yiI37eaEb/8U7CMq802wkGV0h8EGDFb//N1NIqAMSAMQSZvV2HTyKJCEeVNSzosXpCLFcgkshcWulO9CThxoK91B3bis1qInXCQo9j+eJC1zaUUXHicwSrleRb7iEsKztk38VusVC/by22Di1Jv3gWaUxUUOOZistpfeVdsp6cS/w839Th1FoDI0qbAEcOxEv/uyyoOQxmSNUKkhbnkbQ4D2NtG03bC2j+4GPsZiuxs0dgG3EV8iFpVwj9MoGtvRN52UFadhfSVdZE9PRhZD4yB01expVYd4hwhcQvMv7+yocuAgcoSorlvSCT5wRBoHPjDhKuXjIgD0OZJhqrtoPE0VcjEvfhDhVE3f/3gL5c6F2tdVQWbsJYV0PctYtQDxtJ5/FDyOMT+1Sd66/u27WdtpOq1W8hidaQ+NJ3gm5c03Usn/b3PiXnxSVET/ZdmvSV5z90vf584Rhs3xIXszIlmvT7ZpB273S6Spto2V1E67sfYjdZiZmRg33YJBTDh1xxuV9isDQ0Iy8/ROu+YroqmomeMpSUZZOJmjwEsfwK5YQaV87oRcRv3lnJskMnXH+fSE3ixv99PuhxjSeLQCRCnTMq6LE8QaxQIIuJQ99USXiid7JKyJ3ZrVe4J3hyoXe11lJVvI2uilJiZl1L8m0PIJbJXB3UgD47j3mr+3aHsaaK6lVvET5rCpE3Bt5P3PU9Tm2n48O9jPq/24gY4V9zmazKVpwdDP74g94ytpc7RCIR6uwE1NkJpD80C0NFC637i2ld/zktNW1ETcpCGDYe1ejhV0rWBiEEqxXT2QqkZUdp+7oEq95EzFXZpN09DU1e5hXiHmBcObsXEffvOeR6/U1GCst+9b2QjNv5xW7ipgTenMMXSzZi9Hjq6g+R0weJ+6N1LggC7ZWnqDyxEZtBT+yMuQ7BFvn5DO2e9dze5ump7tsdzdVf0/bxemIeXEbYxDE+za+vebP7c6q3nmbMX+/u1QfcF8ze8gIZ5U1kVbYENZfLASKRiLCsOMKy4ki7ZzrmFh1tB0tpO3SM+o/XokzWoJmYhSVtLIphWQPa9vcKPEMQBKx1jRjzz0LpaTpPVqFKjyVqyhCGvbCY8Jykb00HscGAKyR+EXHHDx7l07+9SadCHjICN1fUYG1oJuL2vIDH8MWSjRydR/mrf6MjLg9N6vCAj2UzG6ntOEr7of1YtR3YuvTEXXuDx+P2rOf2Nk9PteDgSPar+3odhqOnSfjxE8jTkgKeNziEdMxrPkZXVMfYv9+DPCbwxjKVWfFUZl0pq+kJeWw4iYvGkbhoHHarDV1hHe1HyjFu3kxLaSPhwxKJHJ+OKTEXRXYmYh/kk6/APwh2O5baRkzFZYirCuk8UYVYLkUzIYOoebkM+9Gib23zkcGAS7oV6aWIhV8f5ffvr2bCv/8XAGW7FmNU6FyELW9+ijQ5nqSxCwIewxdL3OnaFisUjFjwNOq4NI/beYLdZqWz9gwNDUfRn8knbEgOUZNnoEhKofP4oX5j2f7M033b6s/fRSQRE/vEPSAIQeng201mut5/F5vRwohfLkUaQE333176hMnHKjEqZdz48XcxKUOja/9tgc1gpvN0DZ0nqug8VY3+bAOqtGgiRqViSRiOfGi6o/PgIGtoNNhh03VhLq9C2VKEtqAOXWEt0gglEWPSiBybjmZcOsrkqIs9zW8N2g6WUvDzlV5bkV4h8QuIUSUVbP7dfwEojo/huj+8GNLxbVodtT/9C9nP/BRJmP/E5C8pdh47iFilpnnbeiJG55GcNIWw2NReIjA2iwlDez36xgraOs7SVV6CIjGZiNF5hA3JQV+c7zNxBwJH/Ptt1NPy0NxyPSKxmM7Nu2hfsZGo22/wW4XPptPT+eobKJKiGPbDRYhl/idehemNbL3ln4AjI3325h8jXHFBBgW72YquuAFtQQ26wjp0RXVYdSbUwxJQD0vEHJWNLD0ZWXJ8UCp8lwsEQcDW3omlug5VRwn6kgZ0xQ1YO7pQD0skfGQyESNTiBidekWv/CLAbrZiXb6W4p11dNR2XZ79xC8lZNU2sOkcgQNktATWkawv6PceJmxCbkAEDr650Z1wd1mHD8+l7es9lOxfjkXbgUwThVgmR7DZsOp12I1dyOMSUaamEzFmAok33ekibF+T1QKBIAg0l+2j/bMviHlgGWGTzse/A9XBtza10vrv14iZkUPmI/2LuHjDRw+/7nq95oZxVwg8BBDLpUSOTiVy9PlOc5b2LnRnG9AXN2A+e5yOLVsxNXSiSI4iLDMWVUYshrBMZIlxSBPjEKuUF/EbDAwEmw1rSzvWhiYs9U0oOqvoqmzBUNEMYjHqofHIshOImT6M9AdmoUqNvlL+dZHRVdFM7V9WEZ2m5pFP5vL32Ru8bnuFxAcQgiAgGIxMKK9m7V/fcLUUNYtEDH/t96E9lt2ObvdBUm66L+Ax+ksI8wZpeATx824gft4N2IwGTPU1aE8fJ3zUOOSxcQ6JVi8uzUCP2R/sFjO1O1diLqsk8aWnkCUnBD2mubya1v++Tepd00i+OfCOcGmVTcS1GwCHFf7X5y5+v/DLFbKoMJemuxN2sxVDVQtdFS0YKlug4Aid21ox1rQjVspQJmtQJmlQJGrokiUjidYgjdYgiYpEHKEedO55u8GEraMTW3snttYO1LZaTA0dGBs6MdW3Y2rSIotWo0qNRpUeg2pIPHFzRqLKirtiYQ8yCIJAxM4tHH2lgGuezSVvWf89B66QeIhh0+rp+uYkQtFxtKdrkFqtrDXZuhF4zht/CPlxTWfKEMlkKIPQEPeWEAa+u9olShXGmkraD+1DFhXdr+RrX8cMFOaWJqrXvIMsJZHEnz3jMdnJ37ayhpOFtL39Mdnfu57YWYEn8gH890efuF7/46m5V6zwCwyxXIo6O7FXP3dBELC06jHWt2Oq68DU2Im8sQxTkZauFi3mFh02nQlppApZdBgyTRjSSCXSCBXScCV6SzSiMCVihRyRQo5ILkMkO/dPKgGJ2LEAcF8ECALY7Qg2O4LNBlYrgsWKYLZgN5kRTCbsBhMR8jasOiNWrRGr1oClw4ClvQtLexcIArKYcBSx4cjjI7AlRBKWnUjMzOEokhwLkitlXoMfpiYtrf9eRYXWwgPvXE1slm+5Uhf8yopEIgXwX+A6IAYoAX4iCMKmCz2XUEGw2zEWnMV2cA8dRyuInjKEmPljGPbDRfz61e2IthcAYIMBIXAA/b5vUM+cNGBKV/642gfKuvYF2tPHqd+8Es1N8wmfO83r+fDHnS47uZ26d/cy6n+WEZGb2u/2/SFS67DC7SJYucz/RjFXMDAQiUTIY8ORx4bDaM+JmnarzUWe1g4Dls4urFojNp2JMGsztlYzti4zdqMFm9GC3WLDbrYiWG0IVjuC3Q727nlIIonY8U8qQSSTIJZLECtkSJQypCo5EpUcQSpHER9J2NAEZJFKpJFhyKIc/yRh8isKd5cwBEEg7tB2vvzrSSbdlc3Mx4Yjlvru7bkYyzMpUAXMASqBG4BPRSLRWEEQyi/CfAKG3WRGlr+bujWHEculJC3JY9gPF3XLVP7dSzeycEcBggCp9y1lICJudpOZrmP5DJ1+4wCM7oA/xDwQ1nV/sFut1O1fg+FEIfHffwRFVt/Z8r60lRXsduzb19K4q5AxfwusBtwTln7wHdbf/V+W+6irfgWDB2KpBEVcBIq4K6IzVxA8TM1aOl7+jJIGA3e9PJOkUVF+j3HBSVwQBD3wa7e31otEojJgElB+oecTCGwdWji0jYaNx4kcnUb2968ncmz6+dWw3c4ffraSl37naD5y9RcvUPg/qxGHD0z8yXCiAEVWGtKIyAEZHy4OMfsKc0sT1WvfRRoXQ/KvnkMcpgp6TMFixfDJBxjrOxj7j/uQRYWoDtZqpT02nGvW/QCr8oqL8wqu4NsIwS4QtW8rO/+dz6Q7h3Lr36chkQWWa3HRnyIikSgRGA6c7mObJ4AnACSxURdmYh5gqW3Atm8rLXvPED83l7H/uA9VanS3bcRWG7tv+CsiYO/1f6Y2PpI7PnwKfWkTMQsTPQ8cJLoOnUSTPWFAxh7saK45SNtHn6O5+TrC504PiVvRptOjff0tZNFqRv/pTiSK0NRv/+f5D5Cb7ZwZFs9fvue5IcwVXMEVXN7oqmyh5b9rqLDYuff1WSTkaIIa76KSuEgkkgEfAu8KglDobTtBEF4DXgNHnfgFmp7z2JjOlGHZvQ1dYR1JN01g4tuPe1Qokpit7FryN9xp5MFXH8LY0IGty4w0KfSKXILFgjH/DCnXDkDLUfyrHb+QY9lNRmp3rcRUWkXCDx9DnpES1HhOWBqaafvPG44SMh/6gPuKpNo28k7XAjCquJ4/P78oJONewRVcwaUBm9GC5PONFK0oY/ZTI5l4x1DEkuCfLyEncZFItBNHvNsT9gmCMOvcdmLgfcAMPBPqeQQLwWqj65uTmHbtwKozkXLrZIb/7KY+rTJ3AheAueuex6KU0bbtNNFThgxIaYqxsAR5WvKACaX4k9DmhDeyDmQsTzBUV1C77gMUI4aS9MvnQqafbTxTRttr75N+/0ySluSFZEwnPnjiLdfrfz0eXJe6K7iCK7i00PrVWepf20zS6Gge+/RaIhKDD/k5EXISFwThmv62ETl8nm8CicANgiBYQj2PQGHTdSE5sZOGdUdQJmlIu3s60dOG9W2RCQI7b/hLNwK/+b3HsZyT0WzeXYRi7rzQzlOrR7/vMJb6JpRjR4Z0bHcEkmnujayDzVoXbDYaTm5Fu30/MfcuJWzy2IDG8QRF0W5qX93B8BcXE+VHG1FfEN2iRWW2AWATiVghbqDx/95D12xEJILweCVJo6JpHzmJ8JHJVzKNr+AKLhMYalrpfOtz2ir1LPrFBIZMD16voiculjv9ZWAUcJ0gCIaLNIduMFfUYD+4g5a9Z4iZNoyRv76F8BzfGmQs2nwcqc3h5ReAu155iJYkR6zcWN+BobKFqDHB1Rb3hLPOWRyhJv2uJ0I6tjsCSWjzRtbBJMeZW5up2fABIrmcpF88izQmKqBxekKw2xF2rKPyy3zG/PkuwrLiQjKuO5Y/et4K/26sFJvZxribM4hMVCEI0NlgoPZkKzV/X4NgF5h42xC0s+cFpMd+BVdwBRcfVr0J8dqNFK6pYNpDOdwWROJaf7gYdeKZwJOACah3szqeFAThwws5F7vJTNfB45gP7MPcqifphvFMePMxv1WMNi3KQ2q28eJ/vuTe/9xP9dDzq62mraeIu2ZkyLWa1TMnYzea6Ny6F0Wyb7XLoYpJ9zdOKDPZBUGgqXQvHau3ELlkLhHzZnoNSzi9E742NbGbzBg+/gBzs5ax/7wv5OpVgiAQ/8kBIrtMjr+BmG2LmdvD0k4FRs1P5drnx1B7so1Dy0soe+tlJt4+BPP1C5BFhs71dgVXcAUDB8FmR7N3G3teKSB7ViKPr5pHeNzASvlejBKzCuCi+QsFQcB0thyO7aNl7xkix6SRds90oqcM9VsveN0d/yJca+LaTT/i85sn8fnNk7ofyy7QuOUk0U8+FLovcA6SCDXyrDSU2Rk+x9rd3dyReVMDJvRQxbb7g6WjndqtH2PX6kl88UlkKX1n9/ujwmZt66TjtTdRpcUw+k93hVzRytjQQfvLqxlV0kFTjJyYDgur/mdCn65ykUhE6rgYUsfF0FatZ/8bRZx57FUm3TUU8/XXX7HMr+AKBikEQaDtwFma3t1GeKyCO/8zI6Ca70Bw0UvMLgQEQcBSXY+k6ADNOwoQy6XEzx/DhNcf+f/t3Xl4lPW1wPHvL/u+khWyAFkghARZJRB2sMimvWotGlCxV6u2fWytt4t9bqu1t95uWtyKAlpEFErdioIiRVYFAgTZIQkkIftKMtkmM7/7RyA3SAITMpPJJOfzPD4kQzLv4XVmzvtb3nNwC76xog2bb38eX0MzAB/cuZxFG35w1c9UZ+bi4uuJW0z3q3x1pDk3H7fBUR3+XUej5fbT3N1JxLauyKa1pjxvL9UbPsF3Vhp+c6e3lq28DkursDWfK6DylTcInz+Kgd/tvKrbjdBaE7zvcz7/81HG3xtHyF8n8ryrEy51LbT4WP52CxzkzbxfjyZtWR27/naS7AdeYcLSeOpnzMFZWpYK0WtcPFpA9ZotNNUamfl4MkPTw3p0X0ufTeLabKY5Ow/nnEwq95xBG00EpyeS+KtFeMd17yT/6z/+2pbAAdYv7Pge7ZJNWYTNS6Xlho90bcaCYgLjO6761VGSbj/N3T4Rd3Wa3ZaFX4zVlRRuXY/pYh2hTzyIW5Tlt45ZUoXNI2c3hS9+ZpUa6N/UYmiibsVGzpyu4Z4Vk/nDI7up2FvKqpXpXUrg7QVG+bDgt2Mpy77IzldOULD2FSben0DtlFlSD1sIO6o7W4Jh3WbKs2tJf3gYyfOjrXLLWFf1mU8BrTUtJeU0ncpBnT9GzcHzuAZ54xbozZDHZuF/0/W7wVhifcarBNY2tn3/j1uSWZsx+aqfayqv5eLX+XgtzsBWPY+MxWW4pXU8xXy90XL7RGzLdqCW0mYzZWd3UvPhZ/jOScfvlqkWjb678vx6+4ec++wYI35/11XNL7rLkFtG/u82ED12APe/PZ2EwxUElDXhX9bEdx//knV/ublbzx8y1I9v/3ECxSeq2fHyCUrefIW0ZQnUpM2UZC5EDzLkltG4fgsXjlQy8YEE/uPPE3Bxs95nVVc55Lvf3GykpayClqJSPC7mUHemhLpTRTi5u+KfEoXf2CHEPjSD8m3HOf/6FwSMHUzA6O7fNrTuvhUMLLnY9v2K747nzfundfizJR9nETx1GE6etlnH1FrTUl6Fa0DH9bwtGS1fHoF7J4wA7NOwBKCppJDCLetRzk6E/ez7Vmkb2p65oYn6t9dgrKknZXmG1TewhRzcxqHnjjD7iZEkz2/tIpfxo71A6+aPzNtirHas8OEB3LV8IoVHq9j56glKV77CxPvjqZk002qV5YQQVzNkl9K48VMKDlVw89J4Fj47BldP+6dQ+0fQRcaCIi788L9xD/PDMyoYYkMI+1YKQ390C+4hV65vh94y8oo/u0Vrogqr0bR+ML9yTxpvLb16BA6tOxRLNx8h6LEHu3/cTpgNDSg3V5zcrix00pWp8Z7aoNYZc3MTJYe2ULdzP/63z8FnynirF8QxllZQ87dV+AyPJOGXC3FyteLo3mTG/M77fLG1kMV/m0xYYmv5xJDTNbg3mgEwuShOT42w2jEvi0wO5DsvplF4tIrdr52k8PWXmZARh2HqLJy9ZAOcENZSe6KQxn9upeh4NRMy4ljwzBjcvHpP6uw9kVjIMzqY1JeXWrST3NXfi4F3TbDOgZVi8qdPcuumQ8Scr+w0gUNrdR73UH/coqz/4X2Zub6hw0Yf9m4ZaslFhNaaupNHKdn6Pu5xMUQ8/TjO/tbvCtVw7DTVq9Yx6N40whdce2d4V7XUNVL+x3cwmzT3vT0Nr4D/T5yPLv5329cf/Zf1CtJ0JDI5kDtfmEjp6Rr2rDxN7upXuOnOwTTPmmX1GQch+gutNdUHcjG8t52awnomLI3ntv8dj6uH/abNO+NwSVy5OHX5VrDueO4XG5h0IJc7V95PUWQQH8+7fqORkk2HcZvYeZK3Bt1s7HAt9FqJ+ZsJ1hYb1K53EdFcXkrR9n/SUlFF8P134DE8zqrHh9Y3oNNXm6neuJ+EpxbinxJt1edvuFDJ+d+8w5CJocx6YuQVvX/jtxfhamwt/GNyVuy/a6hVj92Z0AR/bntuHJV5dXz197OceHAFw+YMhLkz8YoO7pEYhHB0ZqOJ8u0nqHl/FwA3L40n6VuDbFaoxRocLon3pLvX7WHygVwANixbzYJ1j1AVfO0p6saiaurOlhDxPduOwJSTQpuv7gVzrcTcE9PnnV1EmBobKDm0BcPuA/jdOh3fmWlWL4ADrQVcGtevpaGgipS/ZuAeat32rDWHz5P7+/eZ+uhwbrrj6n0WSdsLufx/ZcUb6VY9tiWCon2Y+9QopjwynMx3czj45FtEjAjAfe4U/MdYZ3OnEH2NsaYery+2kfluDgOG+jLj8WSGpIU6xPtFkngnbv/nAX6welfb9+UBXtdN4AAlnxwhZOYIlKttNxkpD3d0Y1OXfqcnps+/eRGhTSbKcndT8+FWPFOGEfH0j20ydQ6X1r9XrMZ7aCjJf1ls9Y1eAbs/4/Dy49z2+3HETui4I90Hvx7DB78eAy0tYIOLFEt5B7kz5fvDSXsggaOb8tm/egslr5kZ+92hVI+fJuvmQgB1Z4rh0+2c3lZE4sxI7n45jdCE7rUG7WmSxDvw0GvbyNhwoO370kBPbn/3+o3WzC0mSj/9mgGPP2TL8ABw9vPBVGdAm0woZ8vWaXpy+vzyunfpjn/h7O9H6OPLrNYutCMNR05S/ea7DLonjfCF1l3/vryB7ct/F5GxOp3g2I4vQoZvvcCJmZGglF0TeHsu7s6M+nYsqbfHkHegnAPv5HD+xZdJmjsI04xpeA+2fntcIXozU5ORih2naNiyl9rSRkbfNZiHP5qNV6BjXtj2jk+aXmTxuj0saZfAK/3duf3dq6uxdaR6Xw4eEQHXLQ9qDcrFBZegAJorynAPtaxRiy10NLqvzz1Dyc5N6OZmAr8zH4/kRJtNS2mzGf3FR9RsPkLif9+G34hBVn1+U0MzVc+/S2OtkSVrpl6xga296ANl3POTfQDkjBvAqtd7fir9WpRSxIwLIWZcCBdLGji88RxZv1qHX4QXnrMnEJyeiLOndVq6CtEb1Z8rx3XHFxzdlE/E8AAmPpBAXHr4FXtaHJEk8W94cM3etjXNejdnFmz4kcW/W7L5CK7jJ9omsA64DYmmIS/Xrkm8/ei+/nwOpXs/wVRZjf+i2XiNT7VJD/XLTHUGDGvWYG4ykvLiEtyCrNtTvbmiloJn1hES58ftfxh/zc0tDzy8u60hwKaf2nY/RHf5hXky5ZHhTP7PRM7uLObwxoNkrdjKsNkDMU2ZLO1QRZ/RYmiiYsdJGj/fR01RAymLornvrWkEDuo7d25IEr/MaASlmPHxT3A3NHH7B5m8szjN4l9vrjJw8esCIjKW2jDIK3mmDKNmTyYBY3vuwuGbtNbU55yhbN+ntFRU4z9/Bt5po9um+LvaWcxSTbn5VL/2d4LTE4lZNtXqdywYskvJ/c273HTHYNIeTLhmUkvcduH/d6Q7KUoSA6wai604uTiRMD2ShOmR1JY0cOSjPL7+03vgpBi5IJq6CVOsvjFQCFvTJjM1h86jdn3J2Z3FxIwdQNqyRIZODnP4UXdHJIkDCcfyWfX4OurdnJmz8TGavN27lMAByrcdJ2hiHE4ePbeu4jkqiaq3P6S5ogy34J5d29QmE7UnjlCxfxvmZiN+t07De/yoq0qldqWzmEXH1RqXw59TsWY3Q380x+r1zwGq9mVz/k8fMednqSR96/rT8/demkYHWLliktXj6Qm+YZ5MejCRtGUJXMiq5OuP8jj56EpC4v1xmTSa4PREaYkqei2tNYYzxXh8uYfjWy7gE+LByPnRzPrpSLyDHHOt21L9PokPKK5m1ePrUIBXs4lf/nEzz/5yUZefp+zzY3gvWmj9AK/Byd0N3zmTKd75AVGLlvXIFGiLoY6KnL3U/nsPLsFB+C2YiWfq8E6nzS3tLGYJc0MTjf94m/q8SkY+vxjPgR2XnO0On22byXr9FHe8cDODUq9/f/XAw+U4tRZno9HLhfPjHHujmFKKQaOCGTQqmNn/lUL2zhKOfXKUIyu3EXVTMEwcS9DEOGmLKuxOa019bhnemXs5uaUANCTNHcTi1yYzYLBt7oDpjfp1Eo/KLWXdQ2+0rWWaFDz7i64n4vq8CoxV9bgP65nCHu35zZlC8W+XU3ZmB6EJnY90u9qprD1tNlN/LpvKU3tpOHISr5tGEPLoEtxirz9KtaSzmCWa84uofv1N/EZGMfKFe6x++5g2mTH+/Z9kflXG0jenEmDhmtnwHcVtpXjfeqF7TU56Gxc3ZxJnRpI4M5Img5Ez24s5sSWTwy9tIXp0MHr8aIImxskIXfSY1hF3CT6Hv+TUZ4WYjGaGzYrktt+PIzwpoF/u5ei3SdzJ2HJFAm9RMHXLkzf0XOXbTxA8JdGmm7g6o1xdCHlsCSXPvQpoQuKndvhC7mqhF601TcUXqMo7iOGrwzh5e+I9aSyBixfh7ONl7X/GNeNw/XobhW/sZPBDMwiZNcLqxzDVN1H+p3cwGc0sfXMKHn6W79Le+sNk3GtbGLazmNzxjj0KvxZ3b1eS50WRPC+KxlojZ3cUc+rzLI787TPChgWQMD2CyuSJeEQE2DtU0ceYjSYuHi3AK+sAp/9diLOrE4kzIln47BgikgP7ZeJuT2l9ddWv3swnIVynvtT9zWO75vxvWwI3A+mf3lgC11pz+MGV+GXcjftQ63Wr6qqWsgrKXlyDc3AA4ZMX4h5y5W1ulozEzU1N1OflUFN8jIasEyil8BqbgteEUTatA98Zc0MjDRvW0ZBXQcIvF9qkfGhT6UXyn36byJFB3PLz1C6VVwzMraUq1qf1vvB+ythoIndvCWe2F3NmRzFeAW7ETQmnNnkMvkkDcbJiO1nRfzRXGag+kItrVha5e0sJivEhbmo4CdMjCYnz7XeJ+3ep72VqrTtck+y3I/E6T1d8G4yYgRkfWH4b2Tc15FVgajDiNsSy+ty22q3tEhJM+FOPUfvZLvLWvIRrRCieo5Lw8xmCW3AIzl7ebSNwbTLRUleLsbqS5vISDIYCmnPzMRaW4hY7CI8R8YQ8thTXQeF2e7M05eZTvfItAsbEMvKv99qkzWbtySJyn9nAhIw4xi+J69K/NX7HBZb8cB8Nfq7sWTyE7Q8nWT0+R+Dq4dy2w12bNYVHqzi7o5iKlZvJLjAQPW4ALckjCRgTK6N00Smz0UTtiUL8T2aSs6eUqnwDseNDGDw5jNlPpuAT4mHvEHutfpXEvS4aGJWVz570Ycxf/xirH3mDJSuWobtxe1Ll7jMETYq3OAFYe7d2e8rVBb9bp+E7exINX5+i8egpis4doqW0At3c3Fqr3GxGm804+3jjHByIa3gIrlEReI1LxS12EE5u9u1Jrc1mnL7aTMWG/Qz5wWwGTEm0yXHCsrZz6HeHmffr0SRM6+Isg9Ys+eE+nDR41xjJS5EGI9Baz39gShADU4KY+lgSdRWN5O4pJWfPCU6t/QI3LxdixodQnzgSv9Ro6bLWj2mzxpBTSkh2Juf2lZF/sIKgGB/8J4Yy8ycjGZQa1KubjvQm/SeJa82nd7wEwF2vBlI4JIyMld/r9tNW7j2L1/z5Fv+8R2oSHqdy8Ei13chNubriNToZr9HJbY/plha0sQWcnFBurr1yOspUfZG6tWsxNxpJWZ6BR7j1axhrrXH98F98vvEci1+dRNiwgC4/x+RVp3G6tArV7OFMTprtK/Q5Ip9gD0YuiGbkgmi01pSdvci5L8s4v3s/R5dvxjvEg+gxA6iLG4FfchTuIf1nR3F/Y24xYcguJfTcIfIyy8k/WIFXkDvO40JIWRjDgt+O6bQaori2fpHEnYwt7Jj357Y18Lce/TszPvlpt5+3ucpAQ0ElgQmxFv9OY9ZxGo+cpDFxCG4R1h2JX4tycbGoa5itpvuvp/7wcWrW/oOwW1OJuifNJu1mzc0t1L68gcrzddz31rQbnqKb8+KJtq+ff2+mtcLr05RShMb7Exrvz/iMOMwmTcmpavIOlGP4MpPjr36Kq4czg1KDaRiSiM/wSLyHhOLkKmvqjshYU0/tySKC8o5y4XAFRceq8Y/0wnV0MEnfimLuUzfJFLmV9Isk3j6Ba2DeBstqoV9PTeY5/FOju9RS05r3TduCLaf7O2Juasb48UZq9+eQ+NQi/JKtW/v8subKOop+tw6/cC/uXZWOq8eNJYcRn+ThfKkFbJOnMzWRMiV8I5ycFRFJgUQkBTJhSTxaayrP11FwuJILR7K58Nl+qvMNhCb4EZ4USE3UMLzjwvCKDrbJBZ64cS2GJgxnSwgvOkrhsSqKjlXTUN1ExIhAVEoQN98XT2RKEJ5duOtDWK5vJ3Gt2XnLH65I4AvXfI8GH+tcAVYfPIce0rVbnqx137St9ORFRtO5Ai6uXot3Qjipr95vswIihuwScp9eT8qiGNIfHtatpYS7f57Z9vWK1VOsEZ6gdaQeHOtLcKwvqbe13uXRXN9C0fFqio5VUX8ki/x3q6ktbSQkzo/QRH9qIuLwHhyCV2wILr4yqrM1bdY0ldRQn1tGaOlJSk7XUHqqhrryRkIT/PEYHsDQyWGkPzyM4FhflFPvW7Lri/p0Ev/g7pe4fM2ugYyXMqgMC7TKc2utqcnKI3j6XKs8X2/RExcZ2mSCXR9T8cFBhjwykwHTh9vsWBW7TpO3/GNu+XkqSbd0f5T/8Y9HEHGyBv+yRoqHB3Q/QNEpNy8XYsYOIGbsgLbHmgxGSk/VUHKqBs6cpfSLTE5n1+Lm7ULIUD8GDPWlIngInlHBeA0OkUI0N6ghv4L6vEoiqk5Rca6O8uyLlOfU4uHnRmi8H8Z4P4bNimTqo8MJivHFyVkStr043H3iSqky4Ly94+jFBgDl9g6ij5JzaxtyXm1Dzqtt2OO8xmitO6wm5XBJXFybUupAZ0UBRPfIubUNOa+2IefVNnrbeZUdIkIIIYSDkiQuhBBCOChJ4n3PCnsH0IfJubUNOa+2IefVNnrVeZU1cSGEEMJByUhcCCGEcFCSxIUQQggHJUlcCCGEcFCSxPsgpZS7UmqlUuq8UqpWKXVYKdW3Ssv1IKVUkFLqPaWU4dI5XWzvmBydvEZtTykVr5RqVEq9Ze9Y+gql1N1KqROXPguylVLp9o6pT5dd7cdcgHxgKpAH3AqsV0qN1Fqfs2dgDuoloBkIA0YBm5RSWVrrY3aNyrHJa9T2XgL22zuIvkIpNRt4DvgOsA+IsG9ErWR3ej+hlDoC/EZrvdHesTgSpZQ3UAUka61PX3psDXBBa/0zuwbXx8hr1HqUUncD3waOA3Fa63vtHJLDU0rtAVZqrVfaO5b2ZDq9H1BKhQEJgIwcuy4BaLmcwC/JArrWvk5ck7xGrUcp5Qc8DfzY3rH0FUopZ2AsEKKUOquUKlBKvaiUsnuHHUnifZxSyhVYC7yptT5p73gckA9w8RuP1QC+doilT5LXqNU9Q+uIscDegfQhYYArcAeQTuuy2k3AU3aMCZAk7pCUUtuVUrqT/3a1+zknYA2t67mP2S1gx1YH+H3jMT+g1g6x9DnyGrUupdQoYBbwFzuH0tc0XPpzuda6SGtdDvyZ1r0cdiUb2xyQ1nra9X5GKaWAlbReQd6qtTbaOq4+6jTgopSK11qfufRYKjLt223yGrWJaUAskNd6evEBnJVSSVrr0XaMy6FprauUUgVA+01kvWJDmWxs66OUUq/SOuUzS2tdZ+dwHJpS6h1a37AP0npOPwbSZHd698hr1PqUUl5cOXP0BK1J/fta6zK7BNVHKKWeBuYC8wAj8CGwXWv9K3vGJSPxPkgpFQM8BDQBxZeuyAEe0lqvtVtgjusRYBVQClTQ+oEoCbwb5DVqG1rreqD+8vdKqTqgURK4VTwDDKB1dq4RWA88a9eIkJG4EEII4bBkY5sQQgjhoCSJCyGEEA5KkrgQQgjhoCSJCyGEEA5KkrgQQgjhoCSJCyGEEA5KkrgQQgjhoCSJCyGuoJS6QynVdKkgy+XHXlBKZV/qNiaE6CWk2IsQ4gqXaprvBw5prb+nlHoCeBKY1K5+vBCiF5Cyq0KIK2ittVLqF8AmpVQ28Atg5uUErpR6j9ZGG59rre+wX6RCCBmJCyE6pJTaA4wHFmitP2n3+DRa+6kvlSQuhH3JmrgQ4ipKqRm0tlxVQEn7v9Nab0f6qQvRK0gSF0JcQSmVCrwH/AB4H/gfuwYkhOiUrIkLIdpc2pH+CfAnrfUqpdQ+4IhSatqlEbgQoheRkbgQAgClVBCwGfhIa/00gNb6KLABGY0L0SvJSFwIAYDWuhIY3sHj37FDOEIIC8judCFElyilttK66c0bqATu1FrvtW9UQvRPksSFEEIIByVr4kIIIYSDkiQuhBBCOChJ4kIIIYSDkiQuhBBCOChJ4kIIIYSDkiQuhBBCOChJ4kIIIYSDkiQuhBBCOChJ4kIIIYSD+j8jvJM1dOYk6QAAAABJRU5ErkJggg==\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": 177, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:32.720579Z", "iopub.status.busy": "2021-10-24T06:27:32.719958Z", "iopub.status.idle": "2021-10-24T06:27:32.876935Z", "shell.execute_reply": "2021-10-24T06:27:32.877365Z" }, "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": 178, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:32.880338Z", "iopub.status.busy": "2021-10-24T06:27:32.879757Z", "iopub.status.idle": "2021-10-24T06:27:32.883812Z", "shell.execute_reply": "2021-10-24T06:27:32.884199Z" }, "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": 179, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:32.888779Z", "iopub.status.busy": "2021-10-24T06:27:32.886667Z", "iopub.status.idle": "2021-10-24T06:27:32.891572Z", "shell.execute_reply": "2021-10-24T06:27:32.891994Z" }, "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": 180, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:32.897650Z", "iopub.status.busy": "2021-10-24T06:27:32.896442Z", "iopub.status.idle": "2021-10-24T06:27:38.610795Z", "shell.execute_reply": "2021-10-24T06:27:38.611239Z" }, "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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PUnLoAn7XdUc1eAxO3SJt8rsyZGRT/PHXBE/uT8iUAe09nFazc+L7OMqWVckPH7uJX28f0s4jujrYd8t79c5bHc4AVBJtmYHFj+yl+/UhbWb8Zf1ykNy1J/B/7nHUQdbxygmTieJFyzGk5xA572nU3j5W6QfArKkif9MqNKkX6DLsTrwjelmtL1tE5eSEbDRceUcFMVVV4OBVv4G99O1PCK6wVGQSQI9P/tGyPopKKN+4C82B47iNGEDUQ8+i9vFr6ZDtAKkXjCyYU8DsBz1xuVO5m9i2orJQxy8L9xPcyxvXh+5E5dicYh+2jTDLFO8/T/ZvhzEUVRIybSAu0+9C5W57Xr/aOHUKw/+5x8n84BMcPV0JuL5new+pxay74781xl+Vs6Pd+GsDrlkDUFdu4OdH9tJ1ZBBi5jSrG39CCDIW7aFoVyL+zz2Oo5+PVfoxV2oo/OQHVK4uRM15ApWT9e7QK+JPkbduOZ69+9P31udxUF993oArIknQxnG0sk6Lyu3ymPr7N+1kxAXLjZ4Abv3ro5icmldW1JhXSPn67WiPncX9+mF0eeyFNvVuXq3otIKH785n4Qs+GMff0N7DaTaFKRUsfXwf/adHYpw21Sa9YS1BNpkp3BZH1pKDOLg74XLTzfgM7I1wcOgwEhnqIH/8Hn+Q5P98iVukP26RTSm+Ylt8+8g3+FTqAMvcNXlZy1ct7DSda9IA1FcaWfLYPjoN8keaNb1NjL/UL7ZTdjwdv2cX4OBlnbgGY14hBf/5Ftf+MYSOmIakss4UZtZUkbdhBbqsDKKvn4NncFer9NPeGHWVFCUdxr/7UNQu9X9nQpaRVG3rCRFGI5JTnZ+uEPz9l/U1T1+8dxqnu3dpcpuGjBzK129HF3cej5tG0nXhSzi4uSs15Gue9BQT73zsT+l117f3UJpN5skilj1zkBuf6k3xiHFXRfSnbDJTsOUsmYv34xzijec9M3Du1a3DGrZOkeF0njeGpPfWEfOPGRRsPUvQhL6ovW3bgwnw3Ieb6JFSCFiMv5tWPY2p7vxmxypcc5+yQWNi6YJ9hPT2wXHuHdY3/mRB8sdbqErKw+/px6y2pKA/n0rB/37Ae9p4grqNsUofAJVJ8eSt/gWP2H70mfIsDo7N8zB1JIqSDpN5ZC0AIX3rX7KTDXqkZnrZWk09XkeVEGjVDrgazRzp2pmfb7quSU3pk1Ip27ADQ2omXuNHE37z3aicr46AclvCO8KjQxp/53flsubVo0Q9dxvFwzr+jZ6QBYU748n4fg9OgV54PzALl2bcKNkyxr434bA9nuSPtlC811KiN3zm8HYeVeN0P5fN7etPAhbj74m378LgevVeU2yNa8oANOrM/Prkfvy7eOL8wJ3WN/7MMuf/vRFddik+TzyKytU6F1bN4VMU/7iS0Gmz8egWY5U+ZIOegs1rqEyKp+uo2XiFRlulH2vRFG9eXfy7D73kf12ELCPrdTi4NCRxZh1ULq7IVdo/Nuj1yM7O9P74Dd7/5leee3hWo8cLWUZ7KoGKDTsxlZbjNfF6Ok29H5XaPvFaCyf3jjfVnl6TzrZ/nyH69Zl4xoS193BaTenxNNK+3I7koMJr9l24xNj+HGauqKJq7xHcRw3BwbNxj7wkSbhOm07xx9/Q+YExBE3o20ajbCFCMHX9KctD4O/PT+b4kKvDGO8odLxZqYWYDGaWPXMAj0BX3B6+y+pyL8Isk/TeOowlVXg//ggqZ+UvrkIIKjbvpmLLbjrd+yguoeGK9wGgy84kZ9mPuIR3os/U53B0aluDRwma4s2ri9rFo9F9jbpKHFzdkBzadgnYyS8AY34hQpY5/tQb+Gm0DPjgZUp9vBo1/mS9gap9R6nYuhfJ2YmAITfhGduvzcdvx/Y59ON5Dv1wnu7v3odb5zaQkLIi2owiUr/YgSa9CM9pU3Ad0rfDLPVW7T1C6a+W0A6viVeOHXWOisCtSyBOgV42v/z7xOfbuXP9KZbeOoAqd2e2jLeXGm5rrgkD0GyUWfmXw6jdHPF64m4kB+uG98omM0nvrMWsNeD5yMOonBoSWW85QpYpXboWXdx5Iu9/CrWPr1X6KNm/k+K92wmaNJ1wr4GK99FWXMmb1xIMlSWovZX/3K+Eg5s7jv5+fPnWx/hrLJ7AvS++R+9P36x3f0NWLpU7D6E5cBznHl0InXgXrpEdN97JjvUQQrD70wTiNmYS/f5cXIK923tILcas0ZPx4z7yN58h/O7heDzwIJK6Y13y3EcNueR/U1CPGEP+ph0EjettrWG1DiHYOen/ajJ+z/cIZb2teyuvUjrWr6EFyGbBmleOIptkAv58n/WNP6OZc2+tRphlPOfPt8qEI4xGir5airmiisg5T+DgqvydnqmygpwVi5H1emInP4WzZ8eWALmSN68l6MsLUPu1T8bdS4H+3HL8DGBZPrnhH89e8rqpoBjN8bNoDp7AXFqO+6ghdikXO40iZMHW/ztN2pFCur53P06+HTMJSAhB0c4EUr/YjvfAKIJffw7h7dkhk1ccPN2b5PmrjWu/npR8txRjqQa1j+15ATdP/7DG+Ns9rKvd+GtHrmoDUMiCDW8cp6pYT8jf7kOltu5Sl2wwkfjmKiRJwuPBB5Eclf94ZY2Wgo8X4eDpTuc7H0GlVt67WJWcRO6Kn/AaMIwuXW9p8yzXjkKZyMMpIKjN+w0uLuS142eQsBh/T/foQvLRMwiDAWNeEYYLachaHa79YwgaPQW3rt2tlhFu5+pANgs2vnmcggsVRL1zP44eHTMRSJdTSvJHWzAUVuA7fw7O3aPae0htjqRW49WvE2Un0ggYa52Y8Jay6KGvcdcaAZCBF/9+R/sO6BrnqjUAhRBsef80hSkVRLwxFwdn5Q2l2sgGE4n/WImkdsR9zv1WMf7MpeXk//sbnHt0IWz0HYpf1IUsU7RrC6VH9tP1unvwDu+4oqJtgT43G+/BI9u0T0e9jh3/fbvGm7E7rBPf9+2JXFyK5OSEZ2A0Lv1vwjkoxG702WkSsklmzd+OUVmgtcyVHTALU5hlclYeJfPnA4TdORQxfCLSVSRU3Vy8+kRQEZdtUwbgy++upVtaEWC5cZ3682MIK6/I2Wmcq9YA3PW/eDKOFRL59v1Wn9AuNf7mWWXiMeYVkv+vr/G4fijBfW9RPH7LVFVJzvKfECYjvac8jZObJfanJdmz1wJCCHQ5mQSHRbRpvwffe7XG+CtxceXhh5/BOsUE7VwLmI0yq146gqHSSMirc6x+o2wNtBlFnP9gA5KDisC/LoTgAORmZM9ejWi8otEf3tzew6jhtjXHmPR7HGAx/u76+kHK/K+NcqG2zFVpAB74PomErVl0fXee1ZcyZIOJhDdW4uCsxu2++61i/BnSsij4z7d4T7+FwC6jFG9fm5lG9q+L8OozkC7REy9Z8m1J9qyS2KoBaqgsBkmFo5dPm/Y7+G/vgSzzxQ+f8/D9j7Vp33auLsxGmRV/OYRsEgS9dB+qDia+K2RBzqqjZP60n05zRmEacHON17u52bNK0xz5FmugDg6gLKu0zfutFyF4+Ls9NSErbz47kZxOHa9aydVIx/rFN4Hjy1I4uiSZ6Pfvt3oArMXztwqVk6PVjD9dYjKFn/5IyKS78OzST9G2hRCUHd1P4baNRI24C9/Iy9PwrZE92xza2wBtiIq8FFw7d2mzTNqvvvuEbB8/Xp1+D6hUduPPTqswG2VWPH8IIQQBL9xr9fhopdEXVnD+/fXIeiOBf12IOTjgkiSPlmTPKkl7G6AOPl4YS6oQsrC65NmVePKzbZyODWPkkRR+mTaQjROVvY7ZaTlXlQEYtzGT3Z8m0P29OTgHWte9LBvNJL61GslRZbVlX+3JeIq+/ZWw2+fi3rW7om3LRiP565ejzUwlZuJCXLwD693PGtmzzaGuAWorHsHiigu4RXVrk76e2bSa0annEcCWnn3YHWPXy7LTci4afwD+z3c8469ozzmS/7uZkNsGwejJ9epYtiR7VknqGqBt7RGUHB2RnBwwaw04urdPjXaVycwPD31NVLUn8tF/z+Z077YNmbHTOFeNAXhhbx6b3z1F97dn4RpuXW022WTm3NurkQD3udYx/qoOnqBkyRoi7p6Pa0Skom2bysvIWvotjl4+9J7wFA7q9pkgwOKFNFQWoynORldWgFFTikmvRchmVA6OOLp64uodhFmvRe3iYRMeQSEEmuRz+I2yfv/Xx53i4f07ap6b7EHTdlqB2Siz8oXDCFng/5eOZfzJBhOpn2+n5HAyfo/PQ+qm7LyoJHUN0PbwCKqc1Mh6I7STAfj7bf/GySQD8PW919mNPxvkqjAAM44XsfrlI3R79S7cu1pXlkOYZZLeXYtsNOP54J+sku1bufMgZWu20vnex3AODlW0bW1mGtlLv8Nn6CgiO9/ULmLABk05ZRlxlGcnUpGbjKRywM0vDBfvILwNPjg6haKSHJBlE/qqCko158k6vhFHZ3cCeo4kfMiUdluSBtCV5oEkWV0CxlVbxee/fFeztLUhpj/7e8RatU87Vy+ySWb1y0cwGcwEdrBlX112CYlvrsIl1JfAl59B5daxqhG1x5J0e+q8r7r74xrjzyRJfDNX+dh1O62nwxuA+efKWPbsQaKen4ZXb+uUQruIMMskvb8ec6Uez4esI/JcvmkXFdv20fm+BTj5178s21LKTh6hYNNquoyciU/ntlWJN+k1FCcfpzj5GNrSPLzDexLi3J2Y/hNwcfG5bH+DsYqc3GOEhQ4hSu2OiJApKUkm6cI2JJUK/26D23T8tcmrjMOje4zVjeej7/6txvhL8fXn2bvvt2p/dq5ehCxY9/oxdGVGgl/pWAkfxfuSOP/vTXS67zpMA8fZdAWbhpZ622NJWjaZ20UKZ9H8rwko0QCWpI/xK55sX2vUToN0nFmgHkoyq1i6YB+3vNCP/IHWLSItZMGFDzdhKKrA65GHkRQWYBZCUL72d6r2HydyzkJFS4wJWaZw23oqzpyg1y2P4erbNsIhQgiq8lPJT9hLWWY8XuG96Bo0Br+e0ahUllPPYKwiLWM3oSGDcFL/MWHm5B7jQvJGACI7jUGSVPj5RTPMtyuJFXtJWPcxvaYsrJGraUsqE84SMPYWq/ax+71XuLjYW6VWM+mpl63an52rFyEEG98+SWm2hrDX5nYY40+YZdIX7aFg61n8Fz6AuWtnm6rmUZ+x197JHxcRQiBrjTi4ta2m42NfbKdb+h9af7f8thCDW/uFGNlpnI4xE9RDZZGOJY/u5br5PckfaN1YLCEEKZ9sRZtRjPeCR1A5K/ujEkJQtnwT2hNxRN63EEdPL8Xalg16cpYvxqypInbSU22SOCFkmZK0U+Se2YFZryEwZhS9QyajVl+elV3X0LtIaMigS/5fRJJU9PIaQ0J3SN7xAz0nPt6mgseGqjIMhXm4RUVbtZ9H7nmQZd98jAAGv/yuVfvqSJiqKik/cQivAcNwdLcdWSBbRQjB9g/PkhtXSqc35+Lg0jF0/kyVOs79cy2yzkjgS0/j4GV733V9xl57Zx9fRK7SoHJRo2pDD2BEWgH3/nYYsBh/cz6Zg8bL9krRtQfGMg35m04TNKEvam/b+Uw6pAGorzSy9LF99JnaiYqxE6zalxCCtK92UpGQg+8Tj6JyUfZuRghB6dK16BKT6XzvAkUvaqaKcjIXf4VzUAg9ht2HysG6X7eQzRQlHyfn5BYcnd3pFnw9Af69kKSGDbSGDD0ntfslBmFdenqO4pAcT9GFowS0YTxgbvkpPHr2sUrsJ0Cn/BwygkKJ69yVR+56gAPdlc3+7uiUnzhEwRZLEpDfqJvaeTS2z76vz3FhTx5R/7y/3bJBm4s2q5iEvy3He3AU6sl32mxFj/qMvfbOPr6IuaQcp4C2NZqf+2gLRT6u+Jdqef/xm0mJVjZ+vSOTv+k0aV/tBCB85vB2Hs0fdDgDUAjBb08fIHyAH6bpt1p9SSDzp32UHknB9+nHFA88FkJQsng1hpR0Imc9joOrcncG+rwcMhd/hc+gEURG3mzVuBkhBCWpp8g6tgG1qyexUdPw8WmaRt6VDL2GkCQV3UNvIvHsRvyjh7RZXFD56WMEWOmmY86e33lp6zrigkKZO/cxdvW2F0mvi9eAYZf8t9Mwx35J4eSKNIsmqlfHSJooO5HGubfX0On+0Zj63dzew2kUWzH26sNUUIxLSNuExzhpDTz56e8MO5XJ8b4RLHhvPJlRysavd3SCJvS95L+t0OEMwLJMDb4jg3CeN8PqF/3sZYcp2BaH/7MLcPBQVrtJyDIlP63CkJ5N57sfw8FFuQm6KvkcOb/9SNDEaYR7D7ryAa2gIi+ZzENrEEKmV+QU/Hyj28wY8/Xpium8Bl1ZPq4+wVbvT1dWgLG0BLeuPRRvO7Qwn5e2rkMCYvNzcDfqqML2lr1ai6zXYSwtwVRRjllTiVmnQxgNCCGQVCpUTs44uLnh6OWDk18ADm6X/u4c3T3snr8mEL85iz1fJNDj/Tk4+XeM8yh/s8VL4jv/Xkwx1g2xuNpx06VhjPCzfkeyzO/TP0QlLE+3jo2xG3/1oPZ2synP30U6nAEomwU+T96NZGU9tLwNJ8lZeRT/Py/AwVtZUWkhy5T8uAJjVj6dZz6Kg4ty5erKTh6hYPNqom+Yi6e39YSKDZUlZBxZS1V+KtGdxhMc1A+jSUt65p7LEjqshSSp8ArrTmVecpsYgNkFR/DqO6he4dlWIcts+/ifNd7sw52iyPft2KWShBAYiwvRZqahz8lEn5eDviAXWadD7eOLo6c3Du4eqFxcUanVlixBWUY26DFXVWEsL8VYVIDKxRXXTlG4de2BR8/eOHrY64deidSDBWx6+wTd356NS5h1NVGVQAhB5o/7yN9yhoDnHkUdZv3fcm3au2ybNdCkFOA90Po6idum/qvG+MsO8mDlrQOt3qcd5ehwBqA61M/qWWyFO+LJWLQX/+cew9HPR9G2hSxT/MMKTDn5dL7rYVTOyhh/QgiK926j9PA+S6avj3UyfWXZTN7ZneSd3k5gr1H0C5+Gg4MlKaahhA5r4isHUl6SZ/V+hCxTfvIIEffOV7zts2/8ucb4y/PwZO6fnlS8j7bAWFJM1YUENMlJaNIuIDk44hIRiUtYBOGePXEdEoza3afJHmIhBPqKIirzUihKTqBg82pcI7vhN/J6XKPaztPckchLKGXlC4fo8vIduHezrk6lEgizzIX/bqbqfB4Bf3lC8ZvtpmArmbtKUpWUS/hd1g2TWHHP/3Cu1vozS3DXj49btT87ytPhDECsXNew5FAyKZ/8jv/TD6MOVtYLc9HzZ8rJp/OdChp/skz+plVoUs4TO+EJnNytE/tRWZBG2p5fULt7M6T/o7i5+l/yekMJHdbE2dkLozbb6v2UZSXg6OmFc3CYou0eeOdFLvoTTZLEDX/+u6LtWxMhBLqsdCoTTlOZcBaztgr3bj3x94shqvdUnD1atwQlSRIuXgG4eAUQwFDMA/Vklx0nd81vqL28CZp0u+JC6R2ZsmwNvzyxnwkvDSCvX+f2Hs4VMeuNJL29BtlgwvfpBYon2DUVW8ncVQpZo0VfWIFblPVWET5+9ieCiqsAS8bv2HXPWa0vO9aj4xmAVqT8TCZJ76/D//EHcOqk7IVFCGGJ+cvKI/KuR1ps/NWVwRAmEzkrf8ZUXkbsuAU4Oisf7G02Gcg6uoGSlOP0iJpMUGDfer0vLU3oaA0OKjWyydDoPkrUD85J34/P4JEtOrYx3IxGwDKJ9nn1/xRv3xrocrOpOH2U8jMnUDmq8YjpS9cRd+Me0KnRjO/mUN935qB2plPACCJuHUpGwUEyvv8Ev9E34zvyhmveG6gtN7BkwT6G39+dvP5j23s4l1FXBsOs0RP/2nKcfN1xn/eA1bLqm4KtJnO0dGlan5SKZ89Qq4VJvfLPNQw8kwVY5q1bf3oE2UYztdsaW5V7aQi7AVhN1YV8Et9Yie+Ds3GOVjZ2oibbNz2bzjMfbZXnr7YMhs/QUWQt/Q6Vo5qYGx5G5ai8xldFXgqpu5fgHtiJ4QOfaJPYvuYgEFc0OlpbP1hfUYwuI42wO+e2aIyNMeivb3HwvVcZ99SLNq2Wb9ZUUX7qKGXHD2HWavDqN4geYx/E1TfUKsZXY9+ZpHKgc/B1BE/pRdLeRehzswiZdo/ysZkdBJPBzLJnDtL1uiA04ye193DqpbYMRtDEfsS//Bvu0UE4Tb+nTXU8OxItXZp2zDqDi5U8wI5GM50zS6gO++Our+dTEtj2Yvy2iq3KvTSE3QDEUmcy/pXf6LJgHDqFMzyFEJT+sg5DSnp1tm/rln0vyl949OpLxqLPcQoIpHv/u5BUyl78ZLOJ7OObKDp/mF5dbyUwoG1LxzXGxTJxoSGDMJl0ODg1/plerBvc0vrBmdn78BowBJWTMgLgQ88nMC7xDO9MuROTkzODX7FNoWchBLrMNEoP76Uy8SzuPWKJHHArnqHRinn6GqIp35mzhx8xNz/OuQOLyFn+E6Ez7rvmjAkhBBveOI6LpxrHe29v7+E0yEX5C98R0Zz9y1K8B3bGcdKd15TntrkevZYuTZcdTaXbMxNbNMbGUJll/u+V34jKLGbf4C78ePdwcjq1QaZxB8JW5V4a4po3AA3FlZx98Vci7h2JrqvyBavLVmxCF3+ByNmPKyL14ujugVf/oWT+8BluXXrQtdetik+iurJ8knf+hNrNi+EDFuLkZFsyErWTTXQ+EmpD45VT1C4eLfL8AZiNesqPH6LzQ0+36Pi6eFWUs+jHLwCYe3gfY596hTxf25pEhclE+dkTlBzYhazT4jN0FF17T8PRpe28v039zhwcneg54n7id31B4bYNBI6b0gajsx32fXWOwuQKOr/zgNWVEVqD2tuNwPF9iHthKb4jo1HdPP2aMv6g+R69lixNm4pKMBRX4dFD2SRAz9IqVtz3Ga4GMwA/3DeS070jFO3jasBW5V4a4po2AE1VeuJe+o2g8X0w9R+nePtla35HezyOzvcuUEzk2VhWQsaiz/DqO4ioqPGtmkTrxlkJISg6f4TMw2sIGzSRbuqBNjlJ1042iS/Ygkeg9eQOsooO4xrZFSc//yvvfCXMZg588HpNxm+Sf5BNGX9mnZbSI/spPbgbp4AgOvWegHdE45VcbAGVo5oe193P2bX/wr1bD9y6XBvVU+I3Z3H8txR6/PsBmy/xZizVEPfCUvyu645007RWzSsdVbalLZJNnNOO4Dusq+I3Axtm/q9m3vr4wTF24+8qwbZndisiG0wkvL4crz7hcP1Uxdsv37ybqv3H6DzrMcXKuxmKC8n49n/4DB5Jly63tNo4uxhnVZR0GLNRT+qeJeSe3s6gPg8S7TSo1e0bjFWkZezGYKxqVTt1uZhs4qR2R1ucYzXJGyGbKTmwC7/rxirS3ul//KXmB6dxVHPrE39VpN3WYqqqpOD39aT85230edn0uPFPxI59FJ9OsTZv/F1E7eJB1PA7yV3zG8Jkau/hWJ2cuBI2vn2CLq/NtHmhZ2O5lrN//QXfkdGtNv7gD09a1d4jCo3wUswVVZRv3Im5Qtl566JHz5pGa9GeRPxGKRjGJAQ7Jr1fY/yVuTvx8z3KJ8PZaR/azQMoSZIz8AkwDvADLgAvCiE2WLtvYZZJencdam831LfOVNzLVbnzIBVb9xI5ZyGOno0vTzYVQ2E+GYs+w3/MODoFKfMDvBhf5RHchfi1/8XdP5zhfR+t0fVrLdbWBTTLRksVEP9wxdsGKEk9haOHF66du7S6rQPvvIS6OnRaBgbZQNyfqaqS4r3bKTt2AM/e/Ymd8hTOngp4OtsJn06xZKfsoez4IXyGXtfew7EalQU6fnv6IJ2fmIx7t7YVTW4uZo2e+Jd/xXtgZ8WWfa3tSeuouoDmsgqqLuTjMyRKsTY33PFf1GbLvGVSSUxe8bRibbcnwiyjzy9Hl1OKPr8cQ2ElxjINpnItZo0es86EMFs0DiUHFSpnRxzdnVF7u+EU4IFziA+unfxw7eSHqgNnQLfnErAjkAHcAKQDk4FfJEnqK4RItVanQghSPv0dY7kG78ceVTxovOrgCcpWb6XznAWofZRR4dfn55L5w2cE3DSZCL+WJTLUh9rFA2evAM7//i3hgybS1XGAosawtXUBy8szcfEJxsFRGYO1NkIIshK3E3Bj64OpR8efwVuvs7QL9HnlvVa32RrMWg3F+3ZQemQfXr0H0OfW53DysP2KEU2hU8/xJO9fgvfgEVdlQohJb2bZswcYcEcU5tHKlyRUErPeSPxry3GPDlY04cPasi0dVRdQfW4ffiOicXBWJhxgyf2f41WlByw3rR1V689UoaPyXC6VSblUXchHk1qIPqcURx83XEK9cQ7yxsnfA51rOA6Bbji4uqB2UsNFVQGzjGwwILQ6tOWVUJJHxdksNBlFGAoqcY8OwqtfJ3yHdsUzJsymY3Hr0m4GoBCiCni91qa1kiSlAIOBVGv1m7X0IOVnMvF7ZgGSWtm3rz0ZT8mSNXS+91Gc/JWph6jPyybjhy8IuuVWRev6CiFXZ/keYUDMHLzUysd0WFsXMJdUvEKtE+9VlhkPQsa9R2yr20oMC+V4WAQDszO56YkXkNtJ80w2Gig5uJuSfTvw6NmH3lOfabVYs63hERSFSq1Gm3bhqosFFEKw6e2TeAS5Ypo+FduLzv0DYZZJensNah93i9SLDcYSN4St6gJeiYKtZ4icP1aRtrok5RGRUwZYjL/r1z+H6CCGjaGokrKT6ZSfyqD8TCb6gnI8ooNx7x6CiO6H9w0hOIYGoXK61FBuzlqdGvAAZK0eQ0oGZJ0m+aMtGMs0BN7cm5Ap/TtEGUabSQKRJCkY6AGcree1h4GHAZyCWr6kmr/1LHnrTuD//EJUbsoKJusSkyn65lci7pmvWLUIXW42mT9+TtCE6YR7DVCkTQCzUUfKzsWYDFqG9XvM5rJ8m0ppRhydh09XvF0hBJnxW/Ab07okG7+yYkwOKgq8/Zn98LM468rRuygTEtAcLpaxK9y+EZfwzsRMXIiLt+2XCWsJkiTh2WcQFXGn2t0ArD1veYW2fr459msKWaeL6favP9m0QSWEIPm/mzHrTXjNe+Cq9MTaGob0bIzlOrz7t17/z1Vr4J03V7JyQh8mbo/n9kWPIGx4mVM2mak4k0nJoWRKj6RgKKrEq28n5M698J53A+qIkBqNUKVTpVSuzrjERkNsNAHjwZidByd3c+qpH/EZGEmnuaNxjbDdm2ybMAAlSVIDPwHfCyES6r4uhPgC+ALAo0eIqPt6Uyg9mkraF9sJeO5RHH2VFa40pGVR+OmPhN0+B9cIZTJS9XnVxt/E6YR7DlCkTbCIGp/f+jXuQVEMiJqJSmUTp0Cz0WqLMWrK8QiKUrzt8qxEZIMez9h+LW4jpKiQ7R+9jQAqnZ0Z9uI77WL8aVKSyN+0GkmtJnrMHKt8XrZGkEcMSce+be9hXDJvhfb2bdG8dZHMk0Xs/iSenv+6HwdX5UMelCTzp/1UJuXh+/SCdq3wcS0hju4keELfVi8/jtkZz0v/3oSXxoCbzsTkZU9iUGhJWUnMeiOlh1Mo2nOO0sPJOIf64DusK5733o1TVES73XSow4Ih7E5Cxt6K6uhWTj/9E8GT+9PpvutQOdneb6HdRyRZ0gx/AAzAQmv0UZWcz7l/rsXvkTmWL0hBjHmFFPznW/zuux33YGVicvT5uWT8UO35U9D4q8xP48K27wjpeyPRLkNt2otwJdLN8fhG9lVcAFsIQcbZjfjfMKHFk4hkNrP9o7eRAAnI92h7w89QUkTBptXoc7PoNGAqvlH9OvT33RxcfYMxazWYKitw9PBs7+G0msoiHSueP0znZ6biGm7by0r5W8+Sv+k0AS88gcq1fWr7XmvIWj1FOxPo//kDrWqnS1Iu77y1pia04Lm377Qp4082mSk7lkrB73GUHErGo3swqt6DCHpteo1Tx1bOOJWrM4yeQnDf69EuW8qpJ3+k59+m2dzvt10NQMlyRfoaCAYmCyGMSvehL6gg/pVldF1wM7puXRVt21xaTv6/vsZ72nj8g5WJzzMU5pP5w2cEjr9V0WXfktRTpO1fRmz07QS49lKs3fZACEHRhaNEjrxT8bbLMs4im0yt8v6d/sfzNZOoxtGRqU+8qMzgmoBsNFC8Zxulh/biO+J6egy91yolAm0ZSVLhHBKGPjcbx+ie7T2cViGbZFa9cJh+t3VGjIhu7+E0SvnpDFI/307Ac4/g4N3xDe+OgjphF179O+Mc0PLP3LO0ih8WLKqZt34fFU2SjWSYV6UUkL/xFIXb43EO9SHwplicb53RIc4xB29P3B/4E94ntnLm2cX0ev12PGOUCRFTgvb2AH4KxADjhBBapRs3VemJf+U3QqcPQtdttKJtyxot+R9+g8foIQR2VaZtQ3ERGYuqs319BivSJkDe2V3kntnBwNj78fS0nZOvpZRXZCDMZjyCWy/PUhshy6Sf3kjgTZNa7P3b/e7fan5UMjDo5baTe6k8F0f++uW4hHWi99RnrprM3pbg5B+EobgAdzq2Abjr03gkBwn5jlttOulDl1NK4lur8X3wHpzCraPLaedyhCyTs/Io3Z5uhVqBEJcIPSdF+vPqa3coMr6WYtYaKNyRQN76kxiKKgga35eAvyxAHRyAGbDdiMTLkSQJ88Dx+KgiiH/1F2LfmoFHj9D2HhbQvjqAkcAjgB7IrbU89YgQ4qfWti+bzJx7cxWevcORR0xSdPIURhMFHy/CuXsUwf0nKNKmsayEzEWf4j9mnGJSL0LIZB5ZR1lGPEP6PoSry9VhEKRWHCWg53DFlzSLU46jcnLGvWfL6h5/8+3HBGot4rECiH3tA2iDZVdjWSn5G1agz88latideId3bKNHCdyFD7ry0vYeRqu4sDeP06vT6fnRn2xaWsKsNZDw+grC7x6O3Md+7rUl2lMJOLg44dW35SoO26b+q+b6WOHqxLwv/6TM4FqANquE3NXHKNh6Fs/e4bhOmIBv355IKlWHr1rh2j8Gcd+dJLy2nH4fz8HJv/09mO0pA5MG1rmpFUKQ8tEWcFDhdJuyQs9Clin6eikqDzfCRs9QpG1TZQUZiz7DZ9hoxUSeZdlM2p5f0JUXMLT3fNRqZUrRNQeDsYqc3GOEhgzCSa2M+r3BUEVp+ln6DL1VkfYuIptNZJzcQOjts1v8ne7v0o2RackA3PDUy1Y3/oQsU3p4L0U7NuMzbNQ1udzbEI7Obpi1Je09jBZTkadl7d+OEvXiHTj52m65MyEE5/+1AffuwZgH32KzXspwdy/6B4bi6+xKiV7LyYIcsqrK6923I5Wa02//nbC7Wh7P/a8XluBstNT31aodmLjyKSWH1ySEEJSfTCd72REqErIJntiPoFeexjHg6nBY1MZtUG9cKy6Q9N56Yv+pfBGK5tLeS8BWIfvXQ1Qk5uL37MKa9G+lKP1lHebSCjrPVEZE2qzVkPmDpbZvZLgy2lOyyciFHYsQssyQnvMUq+zRXKxRCSRZewTfqH6oXZSVrsnI3YtzcBhuUd1a1oAQfHnDRHyqdGT5+ZHva92KGvr8XHJXL0VSOdBr4gJcfWwjXsdWcHB0Qq40tPcwWoRsFqx66QiD7+mKqV+n9h5Oo2QvO4wuuxS/555o94tZfXT38efpgaMYGny5h+xwXiYfHt9LUmnRJds7SiUQfVIqhsIKAq5vWUx3r3M5pIX7MOx4OmaVxLi1z7bJisVFhFmmaHciWb8cQtYbCb1jCO73z0PlbNtZ7q1m9BRMB/5LwdazBI3v065DueoMwKLdieSsPEbACwsVz0Ir37Ib7ZlzRM19EpW69Z4W2aAn86evcOvSnaio8QqMEMxGPee3foPa1YN+EXegUjhLtjkoXQnEbDaQn7CPnpMeV6S9i5h0VRTv+Z1ODzQ/Cd1NU8m2/7zN5ph+bO0Ry/tTbld0bHURZjNFe36n9OBuAm6cRETg8A5Tr7ctMZsMGPJzMVVVKlaLu63Y+2UikgTGqVNs1qMGUH4mk+xfDhH44pNICsyHSjOuUzSPRPTETar/OhAlOfN2zAg+z0xka8b5mu0dpRKIfutGwmcOb1F4QN+Tafzn5WU4G0x89MBolt41vM2MP9lopmDrGbKWHkTt447rpIm49uuF6SpY5m0KkoMDHjNuJ/3rnwgYG4NK/cc12limIX/TaYIm9EXtbf1Vu6vKAKxIzOHCfzcT8NRDOPr5KNq25shpKjbtIvL+J3Fwbf0XI0wmspZ+h1NAIF173arMUrJeS9KWL3H1DaFvyNR2NwyUrgSSbDiBR3AXxb1dqRc249l7AM6BzW/36HuvIgEzTxzCXa9nVyuyh6+ELjeb3JU/4+jhSe8p13aSx5WoyDmPPi+b8hOH8Bt1U7OONVVVUn7iEF4DhrW58ZhxvIhjvyQT8/GDNh33ZyzTcO7tNfjcf7dNLtV19/HnkYie3DV5Ki6uLixbv57AoD+qMxXkFzBj8mR0Wh2/rl9LWkVJjSewI1QC0adkoEktpNfrzb/h/Ps/VnLz7nNIQIGfO6unDW4ToWfZYCJ/02kylxzArbM/XvfdjUtPZZU5OgrO0VG4hvtStCuBwJv/iDnP33SatK92AhA+c3iz2myJ8Wi7M0wz0eeXk/j3FfjMuQunyHBl2z6fRvEPK4iYOR+1T+tVvS2ZWz+jcnSke/+7FDHUTHoN5zZ9hntAJ/qG3Nruxp9SGIxVpGXsRqcrJff0dsL6j1O0fW1pHhVnjuM/tvnJPKdff+6P4GknJ567+35Fx3YRYTZTtGsLmYs+xXf4GHqNnm83/q6Am38ELhGReA0Y1uxjy08comDLWspPHLLCyBpGV2Fk9UtH6PTkZJsIEG8IIQTn/289ATfG4NrPNiWlnh44CjdXN1xcXTgXn8CMyZMpLSzE1dGR0sJCZkyezLn4BFxcXXBzdePpgaMU7d9cUUX5xp2YK6oUbfci+k3rCb9nRLPFhe9ZcqDG+BPAA/+7H42bddXzZJOZvPUnOfbAlxQfuIDvw3Pxevyxa9b4u4h6xGjyN52+ZFvQhL5Ezr+BoAl9m93eReOxbpuNcVV4AM1aAwmvLSd0+mDEwJZlcDaEMb+Igk9+IPS2WbiEtr5erhCCgk2rMJWXEXPDw4oIGZt0VSRu+gyv0O7E+reufJmtcTGOsNCQhntgZ9z8latZLIQg5dQq/MaMa7an5+ibL6DGUtxBBoa+9E/FxlUbQ2E+OSsWo3J2sXv9moGQzbhFRbfIg3fRaGyJ8dgaNv/zJF2vC8J1pG3XMM5ddQxjqQaPB6e391DqJdzdqybmb9n69TXG3h2TprD455+ZPWsW5+IT6BHTq8YzGAiEuXuSXVWhyBisGUeoP5+KJq2QXq9Nb9ZxEakFLPxmV43x9+7Cmynxt56HW8iCwh3xZCzag3OwN77z5+AcrUylrKsBl34xlHz/K6YKHY6eLgCovd2a7fm7yEWjsTnGY4c3AIUsSHp3He7RwYrLvZgrNRR8+A3et96MR3SsIm0W791OVUoSseMWKpKxafH8fY5XWA9i/ca1u/GndOZvaMggZLOR9NwD9FI49q80/SymshJ8hzVPx3HpZx/gbrJolgug38vvKDousBinZUf2U7htA/5jb6FT8HVXjVe3LdA4VuDk2bJ6x47uHs1eNm4t8ZuzyD5VTPePHmrTfpuLJq2QjJ/2EfjCQiQbrQ/bP/APjbXAoEBWb9zAHZOmEBcXx4D+/QGIjY1l+YZ1+AQEAJZVmZ5ZpWQ46BTJ/LVWHKEQAu26tc0uLeZTXMGSh7+tuT5uvqEHa25TTmu27hhLj6aS/vVOJLUDXvfOxKVXC5PrrmJUTmo8eoVRfiYDPwVu+lpiPHZ4AzD9u90Yy7W4z52nrNyLyUThJz/g2j+GoOjrFWmz7OQRSg/vJXbCQhydW18c3qTXcm7T53iGRtuE8QfKZ/46qd3ReoOPOhZXX+UEZmWTkfRjqwi+9a7mZYoLQd/cLMtDYMBf38akVnYJxVRZQe7qpZgqyu0Zvi3EWFaCW1dlSjNam8oCHZveOUm312fadJ1f2WQm6d11dJ43BlNwQHsPp0F868ytoSEhLP755xrjD2Dxzz8TGhyC1mwCQBiMuJxLo6o4QxGPnbXiCHWnEzGWVDU7e3TNPZ/WGH/nugbyxsvTFR8bWMqupn25A11uGR63TcF1cB+buC7ZKp49Q6lMylPEAGwJHdqlULAtjsLt8XjNfwBJrZwtK4SgeNEKVK4uhI6YpkibVcnnKNi8mp43zsfJ3afV7ZmNepK2fIlHUBebWvYNDRlEt64TFcv81epKKEjcT/igVijd10Na+jacwzrh3q2ZwrWSxM0LX0QGHrx3PnoXF0XHVXU+kbTPP0Dt40dAaD8cXWxbh8xWMRYX4uRnXSkeJRBCsP7vxxh4ZxSevWyjOkBDZC05gNrHDWPftvWONpcS/aVFpXJyc5k9a9Yl22bPmkVOXm7Nc8lJja5HpE1n/gpZpmrVGjo/eEOzEoTG7oxHV13T90InPx74rHU1g+vDUFLFhX9v5OxfliI5OeL37OO4DelrM9clW0Xr1hldVvvplXZYA7AiIYeUT3/H9/EHcPBUNo6hYuNODOnZREyao4jWnz4vh5zffiT6+rmKeLFkk5HzW7/B1TeE3oETbOpHdjHzVynh54S8LQTFjFbEaL6IrqyA0kN7CZpwW5OP6ZSby673XwUgJyCQ2Nf/xf7uyoQFgMXjnL95DbmrltD1utl4yD5kHVtPUdJhxfq4VpDNJoylxaj9Aq+8cztzalU6Ffk6zNOmtvdQGqUqpYCcVcdwu/sem5pv6uNkQU7N44L8Am6bOIm4uDhiY2M5cfIksbGxxMXFcdvESRTkFwAgqVQkhvvYtPCzU9xOHD1c8LuuiTWhheDGnfG89dYaDg7sxO7hXZn79XxFxyQbzWT9dogTD32DytUJ9xtHU7L/PJoDxxXt52rFwdcLQ3Flu/XfIZeADUUVJL6x0pLxG6HsXbPmRBwVv+8lct7TqJxbv7Rnqignc/FXBE2chqd36+MgZNnMhR2LULt6VEu92PZk3BpKSpKpKkgnasw9irUphCD5xHL8xtyM2ruJCRWyzObP3kMCtn/wd2587jXFxgNgKCki57cfcHDzoPfUZ1G7eODqZzmv/bsrUxbwWkJXlo/ax08RrU5rUp6nZduHZ+jx9uxLtMBsDWGWufDvjZalX4XltaxBVlU5h/MyiZKcaxJAesT0YvmGdYQGh7B8wzpumzipJjt42fr1pAq9Ygkg1kDW6kn/fje9/n5Hk+f8Zfd+SkihxbjQebjy5vOTFR1T6dFUUv63FecQbwJfWIA6JBCPiiokJ7VNe1JtCcnVBXNV+wnWdzwDUEDC31cSPKU/ksIZv4aMHIq//Y2Ie+aj9vZpdXuyQU/m4q/wGTSCcO/WL4kKIZO25xeELNMv4g6bTApQKglElk3Ep62l07DbcHBULi4qu/w45qpKfIc3MT5RCOLe+HNN/IyrQa/YWAAq4k+Rt+Y3/EbfROew62smd7WLByF9b1S0r2sFTWEGzgpk7FsTIQQb/nGcIfd0w9ytZckqbUXuuhNIjg4Y+9xo08LUtfnw+F7ejhmBTquryfb1CQhAazbhExBQkx2s0+rQaDV8cGQ75Rt32mz5N7F7HT6DovDs2TSHx6/3/WH8GVXw1p8nKyb0rC+oIPWzbVQm5eJ513Rc+8fUzFsdQUPRlpAkCSGLduu/wxmA+vwyvPtHwhhll0zMFZUUfPw9vrNvwzWs9anqQpbJWb4Y56BQIiNvVmCEkHlkHbryAob0nNeuFT4aQ6kkkCTNQZw9/fCJbL4eUkOYdFXkb1pN+KwHm5z4ceIfz9fESZgkiREvvq3IWITJRMHWdVQmnKb7TQ/iEWiXR1CKEm06rhG2/XmeXZdBRZ4W418n23QcjqGkiowf9hLwnDKlL9uKpNIiPs9M5Nf1a3FzdbtEBBos2cHL1q9Ho9XweWYiJ9ZssNnyb8a8Qgo2nGLA5/OatP/Hz/xEWL7FmymAcaueQahab/wJs0zOyqNk/nyAkFsH4Dp7Dion2/ay2zrCaETl1H7X8g5nAMo6E66z7lM+4/d/P+I+fAABYcosuRX+vh6ztooew5QZa97ZXZRlxDO09/x2q+3bFJQo/6bRFJJ3Zgcxtz6j6PecfHY1Xn0GNNk42Pqvv+Miy4BlIu37t/cUGYexrJTsXxfh4OZG78nP4Ohs/ZI/1xLa9GR8hlzX3sNokKoiPVs/OEP0GzNteukXIO3rnQSN74NjuHIZ+G3F1ozzpFWU8PTAUdQXDZoq9HwYf4Ck0iKbLf8mhEC7chnhM4c1SRz8xffWMfDsHyoFd339ICbn1htpledyuPDvTTh6uRL4wgJUIbYfX9sRkKu0OHq2XhGkpXQ4A9AhKEDxYtElP69B5eZCyOApirRXduIwFXEniZ34JCqH1n/ExaknyT2zgyF9H0Kttm1jobXl34SQOZOxmpD+43D2bH3VlYuUZSagTU8m6rHnm7T/5GOHiSgvs4wJGP30KwgFvK5VyUnkLP8R3+FjiOx0o00u43dkDJpyTJUVOIeEtfdQGmTr/52i762dcOhh21m/FQk5lB5JIfiNv7T3UFpMUmkRC7avJszdkwGBYfg6u1Ki13KiIPuSmD9bXbrUnohDn11K6GtXLvk2e8kBpmw9C1jmrIf+NYucTq2T6zFrDaR/v4fC7fFEPjQWfY8xV3XceVtjKinDyb/9Qg46nAHYLM22JlCx4wC6xGSi7n9akSUObUYqBZvX0GvCY6hdWp+dXJmfSvq+ZQzsPQ9Xl/atAqG0yHN9XDAcR5iNBMcoV0PYbNCRcug3Qm67u8mJPYeiu6JXqXCSZSY+/meKWlkCUAhByb7tFO/fSbdRs/EK6xgadR2NiuxzuEVF2+xy5YW9eWSdLKbnJw+391AaRQhB6ufb6DxvDEZXZaWO2hpzRRUJG3eSYaPxfQ0h6w1U/LqS6GcnXdFT7GCWeeTb3TVVPp5/fRrxfTq1qv/SY6lc+HATXr3DCXrtOQye7h0mBrSj4KrNxDGs/a7rHc4AVBL9+VTKVm4m8v4ncFBAz81YVkr2L9/R5bq7cfVp/ZKJvqKIC9u+I7b7HXh6Ku/RCAr2olevMLy8XSkv05KQkE1+XnmD+yst8lwXjbaI7JMb6Tl5oaIX8OT41bh364l7tysbXZ3ychEqyAwIZsgLb9GtIIe0oNZ99rJeT+7qpRhLioid9BTONlzOzairpCjpMP7dhypyA9PWFJYk4N7dNuvTGrUmNr11gtDHJ9u04DNA8d4kzFoDhpgbOvxF35pl2ayJvH0Nnr0j8B7YeMiKyizz/iu/ca57MFnBXhwd2Jn91zVT37QWpio9qV9sp/RoKt6zZ+Da1zZ/T7UxV1RRtfeIzSbxNIQmpYCQacpo5raEa9YANJWUU/jpT4TeOgungNZn4clGI9lLv8Vn2Bh8OrVeH85s0JG09RtC+t1MgIuyP8DIyADmzhtDn76XZ0qeOZ3Jou92k5ZWCFzq9VMivq8hhJA5k7qckP7jFK18UZaZQNWFc01a+nXS69n8qSXO78YFL5IbGEhCRFSr+jcUF5G15BtcwiKIvXmBIuX/rElR0mEyj6wF6HBZyLJspup8AkG3NF3fsS3Z80UiYX398Bnatb2H0ijCLJP+3W487rjNZj2pV6K2QWCr8X2NYUjPpnDzGQZ80bhos1uFlnUz/4eT2RKr/MET40loYqZwfZQcSeHCvzfiO7QrQa8+h6qDeH87opEvZJnKc7l49Gi/+Npr0gAUJhOFn/6Ax9gRePRovbEmhCBv7W+off2J7NT6i6aQZZJ3/YRncBe6uyirAzfyuu7cPiMGN7f6l0KDQ5xZ8OR1rFgWz/59SZd5/azh+QM4V7kPSeVIcKxy7Zv0GlIO/krI9Huu6OF1MBk5+c6LNd6OJ3Zv4eU7Zreq/6rkJHKW/Yj/9ePoFDyqQ8TOXNQd7Ij6gxU553HyD8TRy7u9h3IZJr2ZEytS6f2JskK81qBgWxyOXq649Gm5F6m9qWsQdBSjAECYzVT8vJTIP12Pk2/D3iy1zsDmGR/VzFmvvTi1xcafWaMn9YsdlBxJwWfu3TjHtk9pspbSEY18Y3Yejp4uOPm130rLNWkAlixZi4OnB8H9blGkvdJDe9DlZNL7licUuchnHd+I2aind9AkBUb3B5GRAdw+I4YZM27FxcWFFSvWERj4RzZXQUEBt98+BZ1Ox7Jla8jOKsFgtJ7X7yLl5Rnkxe8m9tanFU2KuHBqOR69+uDehJqwp998oWYi1TiqW238lRzaS9HOzXQbfS9eIR1nMu3I+oP5hafwiOnX3sOol/IcLTc8EUuVv20vqwuzTOZP+/C6d2aHuGFpiI5oEFxEdXgzjm5OBE1oRAJLltl224c1c1ahtxtbb2yZM6P8TCZJ763Du39ngv72LCq39stKbSm2msTTGC5ZJ/Ee0L5yVR3Tv98KqvYdQxeXRPjEexVZ3tCkp1C0aws9xszDQd30yiFGXSW5p7dj1F1aBqY49STFyccY0OVuxbX+5s4bg5ubGy4uLiQmJnD77VMoLSnCxUVNaUkRt98+hcTEBFxcXHBzc2PuvDGKl3ari8mk4/T5X4kcOQMnBWPjssqPo8/NInDclfUiD77z4iVaf4Ne/meL+xVmM3nrllF6eA8xExfiFdZxjL+OjGw2URl/Gq/eA9p7KPUiy4LKscrccFqTwh3xOPl54NKr/qpF5ooqyjfuxFxR1cYjax4XDYKOFA8GFs2/rKUH6fbMxEYN8O1T/1UzZ2mcHZn268Jm9yUbzaR9vZPEN1fhedd0XGbe1yGNv45K8cHz+A5v33CQa8oANGTkULJ0LRF3zMPBpfUnuqminJxfF9Fl5N24eDUv3f5irFXtWq/a0lzS9y2jX49ZODkpO3EFBXvRp28EgYGBrFixjp49e5GYmMC06VO4cOEc06ZbjL+ePXvVeAb79I0gKMhL0XHURgjB6ew1eIX1wDdKOc+NvrKY/A0rCb3jPlROjQfbb/vg73jrLdU9BNDntQ9arJhv1mrJ/OlLS7LHLU80+5yw03LKsxJwCghC7aucdJCSqEN8kRxse7oVQpC19CDO4xs2VC8urVbtPdKGI7s2ELJM5U+Libh3JC6hPg3ut/bOj3AyWWL+TCqJ8WuebXZfmvQiTj/1A5q0QoL+9ixuA5Sra27nypjLKqg6n4/3oKh2Hcc1swQsa7QUfvojvvdMxTm49Rm1wmwme9kPeA8c1qKkj7qxVmajjgvbvidi6FS8HMJbPb669Or1x3sODAxk7ZoNTJs+hbi4OAYM6A9AbGwsq1auw8fX/4/jYsLIz284M7g1XDAeR1eWT8yUJxVrU8hmzh9cjO91Y3EJu0I5MCEIqSjjYiGeoX/5R4v7NZQUkfXTV7h17U63mNuQbLRSy9VKbvYRvAbY7nKfrQs+A5QeTgGVCpfeDYdMdOSlVVvH4fBmJEkidNrgBvcZdDgZn3ItAGZJYuza5hl/Qgjy1p0k/fvddL5/DMZ+N3Xopf6OilPSfvxGdMNBAZHu1mDbt6QKIYSg6LvfcImJJiBiuCJtFm7fiKRyIKpLy5Z1LsZaqV08EEKQtvdXPIKi6OpgnRgmL+9LPZ4hoSEsXvzzJdsWL/6ZkNBLM5LqHlcbg7GKtIzdGIzNXw4qL88k+/gmuo2dq2hmbGrqViQHR/yuG3vlnSWJ2Nc+4JG75zFt/jNUurXM66rNTCP964/wGXod0b1vtwnjr6EQg6sRo7YCTXISnr0HtvdQOjTZy4/gcuPYRg2Cjrq0WhtbXMY2ZueRueQA0X+ehNRA2bbwrBKe/XgziV0DkYEb1z6DcGz6XGMs15L4xkry1p0g8PnHMfW/2eaMP1v8bpRGCEHeptMEju/T3kO5NgzAyt/3YSosIXTUldXUm9ReUjzlp47SfdhsReIICxMPoC3No3fw5CYf01zjq7xMe8nz3JxcZs+edcm22bNnkZuT2+hxtbmYIZyTe6yJo7ZgMFRxKmkJkSNn4OKtXEmh8pzzlB7dT+gdjcd3Dk+KJ/71Z4nOSQeTiV0x/TgX0TLR1Ir4U2Qt/oouI+6ic8jolg5dceoLMbiILJvRluRSknaGnNPbSdryFVknNlN4/giV+WnIZlM7jLjlZBUewSOmryJantcqmvQiNCkFuA/tb9V+bOECb2vL2MJkpnzRT3SeNwaXBkSB71+0h8+f+J4uOeXkhfpw/YY/Y1Y3fQGv/EwmJx//HucgL/yefwp1aOulz6xBc74bWziXWoIhOR1ZZ2j3BBC4BpaA9ckZlK39ncgHnkalbr2nyVhWSu7KJURfPxe165VrM14JTXEOWcc2MLjfQzg4NH18zRVlTkjIrnl8Mds3MTGB2NhYFi/+mdmzZxEXF8fUWyddkh2cEJ/dUJMt0gWUhZmTqb/g12WAonF/Rm0FyXsXEzrtHhw9G45bdNVp+O6nL5GANZ9/yPiFL5IZ0DIjtOTgbor3/E6Pmx/CPaB1qvtKUzvEQMgylQVplGcmUJ57Hm1xNmo3b1y8AjDqqtAUpmMy6HD28CH/7C70FUV4d4oltN9NuPradrkyIcuUHd1P6Iz72nsoHZq8tScImtgXqRlGRUuwBb02W1vGFjvWoPZxJ3hK/cb3vO93Mf+nA0iA1kHi/54Yj2hiPKmQLXGdOSuP4jPnLtT9YxQcufI057uxhXOpJZj3bydk6sAGPb1tyVVtAMoaLYWfLyZk0p04+flf+YArIMxmcpb9iO/w0XiGtD57RzYZSd75IxFDp+Lu0DQj5KIwc4C/RRy6qcZXfl45Z05nEhziXGP89ezZi1Ur1xESGsKqleuYeuukmuzgFSvWkZerbzT+ryV1f+MKtyJJKsIHNd3beSWEkEk6/DNe/Qfj3r3hCU4ymTj6z1dqpBOyvbxbZPwJWabw93VUJpwlZsITitQsVroCh6OzO56h0eSc2EJJ6kkcXTzw7hRL95Ab8ereCUdHS8a6wVhFjlet8n6dLNtSDadI3PgZQTGjCO0/3uaWii5SlpWAysUVl/DO7T2UDotsMFGwLY6gl5WLxa3LRWFml/6x+NC+xpctSYboklIo2XiK/p/eX+9vbPSuhBrjTwBv/GUKxU3UjTOWakh6bx1mnZHAl57E0c9H0bGD8hU4mvPd2Joh3xRMhcWUHkmh65O2oQhw1RqAQgiKvv0N13698IxVZlmjaNcWJAcHIjvfpEh7mUfW4OobQhdVI3pPdWhNObZF3+1mwZPXodPparJ9fXz90emM+Pj6s2LFuhodQI1Gw6Lv9jWr/SuRbD5FWUYcMbc+pWiFgdTUrQiTkYAbG9dNPPvmX2piHrQOjtz87GvN7kuYzeSuWoqhuJDYWxbi6KJMLFRDFTiaaxjKJiPFKcfJj9+LSa/BP3oIg/vMx82t/ozk+ox4J7U7PdQjiRzQmxPnf8Zs0NFpmG1W18hO3o3vcHuB+tZQvDcJ9+hgHAOsl0F90VvjQ8fy1lgTWaOl7NvFdHt6Qr1iwJ2S8/nnm6trjL8ltw1gVxO1/srPZnHu7dUE3hSL6uZpSA7WiUtuyAvXFqXZbMmQbyrm3ZsIntwfR/emS8ZZk6vWAKzccQBTQTERk+cq0p4mLZnSo/vpPeVZRcSKy7ISKE0/y/D+C5t18WpNOba0tEJWLItn2bI1uLm5XSICDdRIxGg0GlYsi68pB6cEpaWpZCauo+ekx3F0dlOs3bKsBMqO7ify4WcbneSOvPnXGuPPLEkM/Nt7ze5LNujJ/uV7UKmIufERHByVq+faUAWOppZmMxt05CfsJT9uN65+4XQPvQk/v+6tOlednb0Y1GMuh05/imdotCIlDpVEU5yDPj8Xzz725I/WkL/1LI6DR1i1j47orbEmQgi0v/2M7/Bu+I2Mvux138IKfn70u5rVin2Do/h44ZW9RkIIclYeJevnA/jMnYmDlZd8G/peO+ryrDUxFZVQtDOBgV/bTjWgq9IANGTmULZyC5HznkDl2Pq3aNZqyVn+E11GzMTJrfW6eCa9htQ9v9A7egZqdfP0CFuy7Fqb/fuSyM4qYe68MQTWs/qZl6tn0Xf7FDX+NNoiTp1bQpfrZyta51dfUUzy3iWE3TW30bg/J6MBd5MBsNxJ9/7b+83uy6zVkPnTVzj5B9J9wF2KZ/o2VIHjSqXZzCYD+XG7yTu7C6+w7gyMnYeHh3K1JdVqV3pGTibp6Hq8I2JsytOWmbID3+FjFPmNXwmzTktJwSmr99PWGEs1VMRlEfpAb6v20xG9NdbE6cx2itKL6f7RlHpfX3XvpzXG39nuQfzlnZlXbNOsNXDh3xvRZhYT+NcncAy0viZmQ99raw3+cHcv+geG4uvsSoley8mCHLKqrCNH1laYfl9H8NQBqH2Uc4C0lqvOAJT1Boo+X4zPzCk4BbQ+08mim/QbHj1iFfOAZBxchU/nPvj51q+2b23S0gr5x99XEBTkRa+YMLy8XSkv05IQn6245p/RqOF4wg+EDbgF73DlaouaTQbO7fkOv9E34RbV+OdocFTz2cgbeXT/dkY//Qo0c/nZVFFO5o+f49alB117TVW0XN2VaMgwFLJM0fnDZB3fiEdQFwb3nY+7m3IZ1bXx9+tJYtoGNEWZNpPsoq8spjIpjq6TlMnsvxJ5xzchV2napK+2pGhPIj5DuqByVs6bbadxDJk5ZH+7iz4fzEbldPklePYvB9kxqgc37TnHmZ6hPPrRnCu2qc0qIfHvK3DvEYLvc0+icmpffbmWGvzdffx5euAohgZfruF6OC+TD4/vJam0SIkhtimGzBxKDl5g4De24/2Dq9AALP1lHepOYQR0Ukbvr+L0MfS52fSZ9Iwi7ZVmxFORl8zg3g+SlrH7j+D7diA/v9xqIs8AZtnI8QuL8encm6Be1ynWrhCC8yd+xSkwGN8R1ze43x2H93Lr6eM88OBC/jPhVv4z4dZm92UsLSZj0ed49RtEVFT7JEPUjQOszEsh/cAKVI5q+vecjZeXdY0ySZLwjoihPCfJZgzAjNQd+AwagYOr9UtXGQrzqdp7hNA3nqVqj21IhyhF0e5zqEc0fUWhLWK7rmZkrZ6yLxcR9fCNuHWuk5goBA9+u4s/LTlImacLz7x5B4eHXb48XJeSw8mcf389EfeNwjTAdrT9mnuujOsUzSMRPXGT6o+Pi5KceTtmBJ9nJrI147zSw7UaQgi0K1cQMXskjh62JVV1VRmAmhNxaM8k0mX+nxX5ERjLSsnfuIoeNz+kiFix2agjff8yYrtNJ7/gTIuTOToCQsicyliO2s2biCH1L3O0lLTMHRgK8+n8YMPxk0OT4nlr3TIAnt2wkn9Nmt7sfgxFBWQs+gzfEdcTGdawoWltLsYByiYDhqpSyrIS6R45geDAfm022fuZAygoyWiTvq6EoaqM8tPH6LLwr1bvSwhBzs4VeE0ai4N362WfbAlTpY7KxBxCH2q6Z94e29VyhBBof12MZ59wguqKAAvB9skf4GS2lHhbOXXAFY0/IQTZvx4ie/kRfB+di7l7F2zD9LPQnHOlu48/j0T05K7JU3FxdWHZ+vUEBv2xolGQX8CMyZPRaXX8un4taRUlHcYTqD16BkNxFcFTB7T3UC7jqhGCNpdVUPz9MsJuu0+ROr9CCHJXLcF3+BjcA65QUqyJZB3bhGdoN/x8owkNGUS3rhNblMxh6wghOJO/AZOuii5jZim6ZFqaEUfpwV2E3/MAKnX9y1b+5SUsqtb6k4DIFkwU+oI8Mr77BP/rx7Wr8QfgHz0Uv64DyU/Yi8rRiZEDnyQkqH+b3uk7OXnYTFWR9JTf8R44HEcP6xtkVefiMBUU4zlulNX7amtKj6bi2SeiWcu/7qOG4HPXZHsyRwtwPLoFXWYxXRaMu+y1TdP/U2P86R1VfDGvcaeAbDBx/v31FO5IIPDFJ3Hp3sUqY24NzTlXnh44CjdXN1xcXTgXn8CMyZMpLSzE1dGR0sJCZkyezLn4BFxcXXBzdePpgR3j9yhr9ZT/toquT4xD1YyqLW3FVWEAWiRffsXj+mG4dVbmh1B6ZB+yTktk54YzL5uDpiiT4uRjxARZMrkuJnO01/KvNUks30Vlfirdbn4AlYNyTmZNcQ4p+5YSNnMeau/6FfMRgj3/+kfNnXCqrz9PzfpTs/rR5+WQ8f2nBNw8mU4B1s2OvBJGXSXp+5ehKcqmf8x99AmahKNj2y8jSJIDCLnN+62LvrKE8jPH8RulzO+yMWSjgbytK/CddRtSGySatDUlh5ORopsuQQVXRym49kCXlELmz/vp+er0y+q/Lp/9CR5aS5KaDNy85llo5ObOUFLF2b8sQTaY8H12oVX0/ZSgqedKuLsXQ4MjCAwKZNn69fSI6cW5+ATumDSFlIRz3DFpCufiE+gR06vGMzg0OIIwd9v3yJu3rsJ7YCTe/WxTp/SqMAArdxxArqgiZGDjOnBNxVBSRNH2jXQbPkuRbE8hZNL2Lyd88CSbMPhaU8P3SiTpDlN04Rg9bnkYRyfl4rOM2gqSdn5D0MRpuHaKqn8nITj79+dqjD+NWs3Ep15uVj/6vGwyfviMoAm3EeHbvl6O0ow44lZ+gJOnH8P7PYa3V/tNImazHpWCsjctJf38ZnyGXNcm3r+801tRdw7DtU8Pq/fV1gghKDuWiksHem8dtfSXqaSM0i9/JPrPk3EJ9bnktV/mfEZwocWzLoCxa55ptMqHJrWQ00/+iPfASNzmzLsqknf6B/5RbSgwKJDVGzcQGxtLXFwcA/r3Jy4ujtjYWFZv3HDJsvCAwLD2GG6T0SelUrgrgaiHrX+z2lI6vAFozCukbOVmwqbcq4jYpRCCvNW/4HvdWMUkS4ouHEMIma4OypU+aw0treF7JZLNp8g7s4MeEx5RpEzeRcwmA4m7v8Gr/xC8+g1ucL9NH77FxTPAjMSgl99tVj8W4+9zgiZOJ9yr/bTlZLOJ9AMrSd+/nD49ZtLbfzwOqsZjUK1p1APoDRWoFZBAag3a0jwqE8/id531J1RDUQGV2/bhe0/zE4c6ArrMYpAkHINaXyGprbC1Gr5NQRiNlH/5LSG3DcJ32KXVo978+3LC8yxJeAKY8e18zM4N/85Lj6dx5vkldL5/NKqbpisqpt9emCuqcL2QgZD/WF0IDQlh8c8/X7Lf4p9/JjT4UnkrX2frJ4C1FFlvoOyHJXRdOB61l+2Os93OIEmSFkqSdESSJL0kSd+1pA1hNlP01VK8bxuHc6AyxlrZsYPIeh2R4coEOJuNerKOricmYnKTYuGsdSGv3a414g9TiSfr6AZ6THhEkdJoFxGyTNLhn3DyD8R/7IRG9505fwECy2Ta59XmCT3r83Mtxt+E6YR7DmjxeFuLrryQhLX/xaApZXj/Bfj6NC2kwVpG/UVKHUtw9qq/mkhTMOoqyT29vVVxhGlx6/AbdZPVM3+FEOT8/itek2+02eW11lJ2KgPv/p0ViyO1lneudrsdLf5QCIHu18U4h3gRfs+lqhQ+pRryAjxr5qtxy58kL7zheTN/yxmS3lmD3yNz0Pds35hkJanae4SMzTsRBmPNtpzcXGbPmnXJfrNnzSInL/eSbSV6rdXH19Lz2rRhOR49Q/Efbdse9va8hcgG3gS+aWkD5Zt2ITmpCYxW5gdhKi+j8Pd1dB06UzGh37wzO/AM6Yq3d9OW76x1Ia/drtLxh2mqc6QfWkX3Wx7Gxbv12osXEUJwIX4Vsk5HyG13N3ixGnYuHoAyT19uf/BJYv/2HqIZ35+hMJ/MHz4j6JbbCPcaoMTQW0RJ2hkS1n2Ef/ehDIy8u0YkvCk3BdZOKtIUZeLmF37Z9qYadhczmYuSDreo/4rcC+hys/EZNrpFxzeHouzDmCuqrsrEj4tUnMnEHKacLqe1vHO12+1o8YfSvvVo0oqIfm7yJXOXR7mWrxcu4vYNp9k6pif3fPEAugbkQYQQZC45QMaiPQQ89yguPVtfg76taIrx5D5qCImB7kjVuoUF+QXcNnFSzbLviZMna5aDb5s4iYL8gppjTxRkW3Vs0LLzWnsynpJDF+i68PJkH1uj3SKbhRDLASRJGgI0O83WkJlLxabdRM1/RjFXeN6GFXgPHombnzKxBUZtBXnxexg24PEmH9OaUm/t0W6a6hxpB5bTY/xDuPmFXvmA5rSduR1N6nk6P/BEg0H4z21czvwDe0j2D2DOnMdI6BzVrD4MJUVkLPqMgBsnEe7dPhnZQshkH99M0fnD9I+5F2+XS28WmlL/ubUVYhrDbDagLcmpVwOwqaXqrlTRpDGEkEk9sZrAcVNQqa0rcGvWVFHyyzoCF861Wv1UW6A8Lhu/sRMVa89apd46agk519R9pKw+Tt//3oeDyx/n7H2L9/Hod3uQAK2DxKcPjyUv2LveNoQsSP18G2Un0vF//gkcfds3BKO5NEUGxsHTnbIhsRwpyCZKcq7J9u0R04vlG9YRGhzC8g3ruG3ipJrs4GXr15Mq9GRXVVh1bND8889UUkbpD7/S82/TbE7zrz46ZGqbMJsp/vZXfO6YgNpHmeXGysSz6PNy6DFktiLtAeSc3Ip/18G4ujSQsVoP1rqQW6PdVFUi6QdW0GP8fNz8L/cOtYbMkiOUHt5H5z890eCS390HdjH/gGUy7VpUiNxI8HR9mMrLyFz0GX6jbyLCf5gCo24+ZqOOlJ2LMRm0DOv3GE5OlxeFt5bx3lRKS1Nw8w/HQX25QGtTDbuGKpo0haySo0gOjm1S8zdn7yrchvTFuattZu0pgbFUg6lMg2OIcpVjrFXqrSOWkNNfSCP7f1uIfftOnAP+iIUet+V0jfEngOf/cUfDxp9Z5vwHG9DllOL3zOOo3G2nfFhTaY7x9OHxvbwdMwKdVleT7esTEIDWbMInIIBl69fX6ABqtBo+jD/QJmNrzvknzGYqv1tEyG0D8eqjjHSctekQBqAkSQ8DDwM4+PtQvnEXKjdXAroos0QjG/TkrV9O1xEzFRF8BjBUlVJ04SgjBz/d8jaMVeTkHmvXaiENkUIcmQdWWzx/Cht/pelnKTiwlk7zHkft5VPvPtFZ6by+cWVNxu93Q0dT6ln/ZFofZk0VGT98hvegEXQObp+lPn1lCee3fo17YCQDomaiUtX/c7Smd68pZBuT8G6gDGJrDLumYDJoKfh9PeGzHrS67mHVhXPo4s8T+sazirRXe95yCrId703luVzcu4dYNYngWq0YYswrpPiz74n+8yQ8uv+RtNDtXA6vv7+hxvhbNHMYx4fUX8JSNpo5984aZJ0R7wWPdthM3+YYT0mlRXyemciv69fi5up2SbYvUCMRo9Fq+DwzsdUi0Na4sTBvWYnKRU3ErJGKtmtNOkQakRDiCyHEECHEEJWzMxWbdxN2S8MxYc2laOcWXDt3wStMuYDN3NPbCOgxvF6PTlOxdmB/S0k2nSTz8Bp6THhEceOvIvcCKft/IXzWgw0m9jgYDaz58sMa429fZFfenXJHk/uQ9Xoyf/oSjx6xRHW+SYFRN5+qwgwS1v0X/+ih9A2Z2qDx197IspmStNP4RfVvl/7TLmzBo3svXMOt65GTDXpyNvyC35zbUbnWX4qqudSet9TetpMJWHU+D4/uyiTNNdhHB8zYbS3msgpKPv6SznNH4zf8D+MuILeM7xf+UDNf7R7WlS/mj623DdlgIvGNlWCW8Zw/v8Mafy1ha8Z5Xoo/QKrQ1/t6qtDzUvwBmywD55Kyj6JdCXR/YQqSypbqsTSObV51GsFUVILPnZMVW/rVF+RRdvwgfW79syLtgSX2r+jCMUYMfqpV7bT30l99JGkPkXd2Fz0nPo6Lt3JLSGAxis7vXETonffhGhFZ/05CcPqtv9ZMpgVu7jz4wMIm9yFMJrJ++Q7noFC6dFe2RF1TKcuMJ2X3EmK6TSPQrX7Pmq1QVJyIi1cAzp7WlQupW+8YLMLf5aeOErXgL1btGyD30FqcoyNx7dfL6n21N5Xn85BiBll18u+osXstRdZoKf3fFwTe3JvgyX/cLPkVlLNy7uc189WpnqG8+Oad9bdhMJH4j5WonNS43Xc/kg1WjrA2SaVFLNi+mjB3TwYEhuHr7EqJXsuJguxWxfxZC3NFFeXrtqE5cITe78xE7d2xlurbzQCUJMmxun8HwEGSJBfAJIQwXenYwG7KZAIKIcjfsAK/MeMU1TjLj9uDX5cBODu1TguvvZf+aiOEIKF8J8XJx+k5+XGcPZSTegHQluRwbtvXhNw2E/euDXti5+7ZVrOMYlSpGPOXfzS5DyHL5KxagsrRkeh+M9qlaHrh+SNkHllL/173Njkz/EpYM1QgvewYAT2GX3nHVlI3mUQImZRjy/C/cQKO7i33ojcFTVoymsOnCHnjGav2YytokvPxnWBdEd2OGLvXUmS9gfLPv8KzTwQR9113yWv3LT1Y8/h8pD+PfTSn/jZMZhLfWo2kdrxmjL/GwgSyqyrIrkpsp5E1nYpt+6jYsoeAsb3w6BFy5QNsjPZcAn4F0AJ/Be6rfvzKlQ5Se/srFrtSmXAGU0UZnUKUiwGTTUYKzh2gm1f7lhBTEiFkzuStoyw9jl6TFypu/OnK8knY+gVBE6fh0atPo/suGnMzMa//ixdum0m/v73frH4Kf1+HsbSY7sPuU0zmpznknd1F9rENDO79oGLGHzQeKtAaXUmNppCqwgz8ulg/+cK/+1AihkytSSbJLD6MkM34DLZuPI1sMJCzfgm+903HwePqj1Uzaw0YiipxDG65pqOdPxBGE5XffINziDddHrsZN42eJfd/wf+e/hGE4JadCfx660BO9A7j/i/rL0kpZMH599aBLHCfc20Yf9B4mEBHqPoijCbkc2fx6t+p3vrOHYH2lIF5HXi9uccpJc0gm0wUbF5N1NAZqBQ0BopTjuMe0Ak3t6tjgjWbjZxMX4bZqKXnpMdxcFI2tV1XXkjC1s8JvHkyXn0bXur+6ttPSA4MIjEohGXDRrN6UPMM7JJDe6lIOEPvW57AoY1LmgkhyDm5laILRxjcZ36zssKbQmOhAk2RkGmIC+UHCOwxQrHEqMaonUxi1FZQuHU9EXMesXq1g9xDa3CKisBtUOM3HlcLmvQiXML9rmqJm7ZCmExUfvcNDq5OjJo1gu9n/BfPKj0SEJFTyt2/HsS3TMvMNce5cW39iUVCCFI+2YqhuAqvxx65KmtON0RjYQJNlWlpLywi3z/hFOBJz1emdai4v9pcO2dbHUoP7sIpMATvcOXEUAEKEvbTLcT2TtiWYDBWcfz8Ypw9fOk69iFUDsqeLrryQhK2fIr/DePxHtiwDMtniz5jdNp5RqedRwDLmikGXHkujqJdm4md+ASOLm3r5RFCkH1sIyXpZxjSe36rwwLqo7FQgZbGker15RSnnKDPHS+0enzNJfn0SrwHDsUlVNkEo7poUs6jOXKakL8/bdV+bAltWiFuUVfHzWl7Ikwmqr77lr+mF/FMXhmOuxNr4vwEYHBUEROfA8DZXqEYnOqfO7OWHqT8TJZF6sXJ+jdatkRjYQK2HkMqtq1Cm1lC7/fv6bDGH3SQLGClMVVVUrx3O136TFW0XW1JLgZNGf5+tl3+pSloNIUcPv0FnsFd6XL9bOsYf1s/w//6cY0u8z21aTU3JJ8DLBPrnDmPNK+fnCxyV/5M9xsesHoiQ12EEGQd20BpxlmGxDxoFePvSrS06ktS2V4Cug9VtKZzUyhJO4MuJ/OKZf9ai1mnI3vdz/jNveOaWPq9iCatCLfIjlP/1xYRRiOV33zD3XllPJ9ditosauKSq1zULHj3bm5a/2cGJFgMwK1jY+ptp3BnArlrjuPz+EOo3GwnS9wWsOWqL46nfqdwRzy93rjjEpHvjsg16QEs3rUFz94DFC1bBlB04Qj+XQc1qeavLVNSmszpc78QPnAigT2Vj2XUlRX8YfwNua7B/WYc3M2j+3fUTK7/vHkKR7o13WNrqign6+evCZo8Aw/PBrKKrUj28U2UZcQxOOYBm9NxbAytroSi5GP0ud362be1Mek1pB1eRuiM+1CprbtMn7NnOS4x0bj2r//ifLWiSSvEcdhoOlauom0wIu4cX338A4+HerKhUwDHP55LxV0f41mlJyPUhzlfPIDJ2WIQdE4vIrDIUh5x5ZTLJZQqz+WS/PEWAp5+uMNV+LiW0Rw7Q9nPe+nzwWycfDvOnN4Q15wBaCgpouzUUfpOU/biJoSgOOUk/XsqV0mkPbhgPE5W4ka63nBvq3UR65P20Jbmkbj1c/zHTsBncMPGZc+MNN7csKJmWeXHwSP5fszNTe5bNhrJWvIN3oNHEO7Z9hp2Oad+pyT1FENiH+xQxh9AYsHvBMWMbnPvX/LZVXj06otbVLRV+6mIP40+MZmQ1562aj+2iDatEL/p1tUA7OjUzk51cVKz9P0vGJCSwcWoye9Tixj98VwkRwcmLX8S6lETuHOVJSHrVGw4BudLvUTGMg0Jb6zEZ/YMnDpbNxvbjnLoEi5Q+uMyYt++E9dwZeO424trzgAs2r4J32HKX9y0xdlIkoSH+6Wp4LZczaM2smzmbMEmKnLO0WvyQkU0/upKe2iKs0n8/UsCx03Be0DjpcP+uWpJzeOjEZG8detdTe5XCEHeml9R+/gRFdn22Vn58XspPHeQIb3nt0oIvD0oK0unIvcCkdc1/fNWgtL0M2jTU4h6VDk9zvowVZSTu+FXAhfMUUzwuaNg1howlmpwDGxaFv+1Ws3jYgLCsys28YrJTG3zTgBlni6ozWCCeo2/ixweGMnvYy/VlRSyIOnddQSM7YXjkL7WGL4dK6BPzqD4ix/p+cptl1R46eg0yQCUJOlO4CeghxAirXrbf4CpwHVCiDzrDVE59Pm5VF1IoN/0FxVvuzQzHu9OsZdpy7UmC7Ot0BsqOJn8Cw5qZ3pNfQpHJ2XiUWrXia0sSCdp+zcETbodrz4Drnjs7Qv+wqF3XsTgqObe+c0T1C7ZvxN9fg6x4xe2udZfcfJxck79zpA+83F27lhLO0LIxGesI2LI1Hrr/loLo66SlIPLCLtrLipn6/UrZJmsTYvxuGE4ztFRVuunPrqmFjJh4yk2TezXpv3WRpNehGuEX5Mzq209E1NpXHQ6jA4OuI8aQufcAh7bfbjG+JOBQ0GePP/1n5CbUJ3jX0+Mx1lnvCz5I/u3Q5g1BhzGTVd8/HasgyEjh+L/fUP0cxPx7n911QhvqgdwGRa9vleAhyRJ+jMwCxjVUYw/gKIdm/AdOVZxKROA8uxzdAu4XE/QFqt51KasLI1T55YS0GMYYQNuUTR+8aK0R3nOeS7s+oGQaXfj0bN3o8fsev9Vbp//DEU+Pgx76Z/N7rMq+RzF+7YTO+nJNpd7Kc9OIv3gSgb1fgBXV2W1EtuCC/pjqByd8OvadueqEIILx3/Dq99g3CK7WrWv/HM7kDVavKc2PZRAKZyMZl7910Ze+fdGTseE8dQ/78bYxgHkmpSCZmUA23omphKozGY++98ixp1KRCUEr86ayqJxYwi8eST+uw9T5ejAPU4q4h8bR/CEJnrshABJQl/n+626kE/Wr4cIeukpuwxPB8GYnUfRf7+ky4Jx+I2wbmhKe9AkA1AIISRJeglYJ0nSBeAl4GYhRJIkSZ2AH4AgLF7xfwghfrXaiFuIPi8bTVoy0YPuVrxt2WxCU5iBd7fLEw1sqZpHbYQQJGkPkZuwjajRd+PTyTolyUrTz5Cy/1fC7pqDW5fuje57/I3ncZXN7P7PP5h1/+Oc7NK8H5yxtISc5T/RbdS9iotVXwltSQ7JO3+kb8+78fBo3RJBULAXvXqF4eXtSnmZloSEbPLzyhUaaf3odKVkn9hMz8kL2tRrmlV8GGNJIaF31l8hQSl0uVmUr91O8MsL2lVoVyWgf1w222/7NxXuzvzjz5PYN6ptVAM0KQW4dQlENHH/q7Wah8ps5pv/fMvo+As4yvIlS7w+lVoAkiLC6PnCFFI+206PF6YQPKRL0xoXgr+9t468IC9WTe5PXrA3YKn0cf7/1hP10FgMAVdH/NjVjjG3gKL/fEHk/LEE3HB1lohscgygEGKzJEmHgTeBW4UQh6tfMgFPCyFOSJIUAhyVJGm9EMKmJLyLdm3Fd+QNVlna0pbk4Ozhh6Oj8p5Fa2A0ajidsRKDtpyYqU/h7GkdYymz5AgFB9YSfu98XMMbd53vfu9vuMpmACTgZFS3Rvevi2wykf3Ld/iNvAGvsMYNTaUxaitI2vo1nYbdhq/Uci9WZGQAc+eNoU/fiMteO3M6k0Xf7SYtrbA1Q60XIQRns9YSFDsaV5+2SxDQlRVQsHUtne5/HJUVBXBlg56sVYvwvWcq6qD2kUBJjA7miKuaQaczUWE5x72q9Lz395WM3tw22dZVyQWYovpzTQuOGI2ce/xV1LJ8yWYZiI8I4ZvxoxCyjNi+mvTfz9L7vbtx79L0eOgb9iYx8fc4AL6e+4deac7yI6h93dH3uoGOqxp37WDMLaDo35/Red4YgsY1vmrVkWnyrCtJ0k1AfyxzV82yrxAiB8ipfpwrSVIh4AfYjAFoKMxHk3Ke6IEzrdK+tiQHV7+Okc1VUprC2fO/4RvVj643zlVc3w8sBkV61k5KDu2h07zHcQ5s3KhY9fE/CdRYThcBDPzrm40GV9dHwaZVOHr50Dl8bAtH3TJkk5Hzv3+Lb1R/VJnFGEKqWpTsM/K67tw+IwY3t/pvUIJDnFnw5HWsWBbP/n1JrR32JaSYT2HQlNGt702KttsYstnE+QM/4X/DLTgHh1q1r+xdy3Du0gn3ke0XhiEkeOoDi0JAt3M5fPL8Ety1Rj54/I/PfM3Mj/Au05LWyZ9n3ppBYbCPcv0LQdWFPDzv7xjzlBJE5BTw0VdL6J+WicbZiT7/+weo1TUeUBnI9/Lg8Udnc7Sn5YZT1urRfPcNxhINff87p9lSH3estmT//n5DT8wOlnAafX45Wb8cIuilJ9ql/nhjXKuJPo1hzMmn6MPP6XT/GIJuuboTdZqaBNIfWAE8AUwB3gEuU2qVJGkw4CCEyFBykK2leO92fIZeZ7XAdl15oSJZs9ZElk0klO2iKOkQkaPuxqeTdfTPhJBJTlxL1fkEOj/4BGpvn0b3f2rTGnoW5luOBcYtfAGdS/NUysrPHKfqfAK9Jz/TphOsEIK0/b/h5O6DR5UzF1JaluwTGRnA7TNimDHjVlxcXFixYh2BgX+cTwUFBdx++xR0Oh3Llq0hO6tEMU+gVltM5sl19Jj4mFVuBhoi5fwGHDw88WlmVZfmUph1CH1SKiF/e9Kq/TSHCz1CmbDqmUu2PfDdLnxLtUhA1/QiVs75AiFBTpAXj/57NsUBrUso0ueW4eCixsG77cXI2wxZ5vnlG7hn91H8K6su8bS5GEw1jz+bcD07+vTgaK9LVxmMeYWUfv4tnrFh9HjxVlQNVO9oiDF7zzHkRDoAP941vGZ72tc7CZk6AFWg7QlwX2uJPlfCkJlrWfb90w0Ejb/6y0NeMeJfkqRIYAPwgRDiG+A1YLwkSWPr7OcHLAIeVn6YLcdUUU5F/Ckiwi5P0FAKo6YMryrblVatrMrj0Nkv0JbkEDvtOasZf7LZxLkji9FlpdP5gYVIjo4U792Gqaqy3v19ykt5dP92wGL8/WnWn8gKaN4SpKGogPz1y+k+Zq5i2ctNJT9+D5qiLPpFTCc0dDDduk5sUbLP3HljcHNzw8XFhcTEBG6/fQqlJUW4uKgpLSni9tunkJiYgIuLC25ubsydp0xMqSybOZXyGyH9bsbNz7peuNqUZcZTceYEIdPusarBbijMp+TnNQQ8MtvmJV+W3DmMC5H+mCXLb0HCEi8YnlfOmtmf8d/nFreq/cqEHDx6tN133FYEFhbXPD736Css3LCLgFrGn8Di6dsd+4ex98Gdky4z/jQn4ih493+EThtI5wfGkLPyKMYyTZPHEZFZzDt/X1nz/OHv9+BoNFN5Po+yk+kwalIL3p31cR81BJ+7Jl/ViT5NxZCWRdF/viDqkRuvCeMPruABrDbqNgJrhBBvAAghzkiS9CsWL+DI6v2cgZXAP4UQ+6w64mZScmgPXn0H1QgRWwOzXovay/YMQFk2k1S1n7yzuwgfMpmA7sOtdsE16TUk7v0OBzd3IuY8gkrtRPHebRRssegA+o26fHnRQ6tnfWxfJsedZumAYey7QoZwXWSTiexfF+E/dgJu/pfHzVmTyrwUck5uZWi/R3BwcMLBwalFyT5BwV41MX8rVqyrMfamTZ/C4sU/M3v2LBITE+jZs1eNZzAwEIKCvMjPb11iSELZThycXAju3XZJSoaqUpL3LSXsrrk4ulvvNykbDWSu+h7v6eNxirRuTWEl0Hq4cP+XfwLAvUzDv1/6lZ4X8nGQLQuWz751JwAeJVVsvPt/CCAz3IeP5t/IvlFXjnmtSMjGI6ZjL/9KZjNzt+3n8Y078C+vwrE6ji/q63cBeObBu/jflxb9UIODA7tjo1nw6L3oXBo2/oXZjPz7Ksq3xRHzxh14xoSR9ctB0r7aCUD4zOENHlubf7y56hKP48jDyXzx1A/M8HAl4p4RmBsZQ3tytSb6NBf9+VSKPvmebk/dgv/ojl/Ktak0agAKIYqBy9xFQoiaVFrJYlF8B2wTQvyg9ABbg2w0UHb0ADETF1q3H9lsc+XfKiqyOJu6CkcXd2Jue9qqWbH6imISd3yFe3RPAm+5rUZnzGvAsEv+XyS4pJAx5xP5begonpv5AO8XFJAb2Pwl9MKta1H7+NIpqOFyctbAqKskeeePxEbf3mq5l169/rgoBwYGsnbNBqZNn0JcXBwDBlgqmMTGxrJq5Tp8fP9YQuoVE9YqA7Co+BxFF44Qe9szbXbuyrKZpAM/4jt8DG7NTPJpLjl7lqMOCcRjrPKlDK1NlbcbD//vfgCctAYiskowuVgkjVbc/wUSFg9h56xS3v/7CgSWGMMyDxee/udMztcjVFt+Ngv326fTMdLULuXndz9jxLmUmvddGwF0ycolJTyEdUP6ciS6C3kBPk1q11RcSuX3P6BydqT//+5H7WO5iQ+qlnsJaqrsC/D8m3eydN6X/PPZCWSE+/Hua8sJyyrB4FyJ6dGH7IkfNowuLonir36i+1+m4DvUulJUtoYSQT+jgLuBU5IkTa/eNkcIcVqBtltFxenjuIR3snp8nspBjSybrrxjG2Ay6Uks3UHRhWNEDJmKf/QQqy6zVRakc37nt/iNugnfEddf8pqju8dlnj+V0ciO/7wNQIpfIEe79WiR8VeVFE9F3Cn6TH2uzeP+UncvwbfLAAL8Wy8N4OV96bJ1SGgIixf/XGP8ASxe/DMhoSHodMYGj2sOWl0JZ88vp9vYOW1a7i0laT0qJ2f8Rls32aQw8yC6hGRC/mZ7QffNxeDqRHL0H2ERz/xjBn/5aAuRmcU4yKLGKJIE+FToEFi8Yk5VOjbd9TFaFzVnuwfz3IVcsiNt0AMoBIHFJTy6aTc3nk4kvLgUZ5MZg4MDPb6wzBN7e3VlZLUBCNXLuhIUebjz85ihpIZUzx+Ojk02/jQn4ij78TdCpw0i/J4RSKo/zhO1t1uTPX/+hRUUBXhSGODJLSuexKy2XFLv/+wBHN5Zg2FwFJJaDULgZDJjUF9zxbdsGte0/WR/tZler07Hq2+n9h5Om9Pqs1EIsYcmxBK2ByWH99Kp90Sr96N29cBgqD/Ora0QQpBXcIqktE14hfWg9+3PW3XZGyC76hR5234j5La78ejVhJgJITjz1gs1E/lrG1Zw28IXmt2vqaqS3NVL6TrqXhyd23bpPT9+DyZdFTG+yhgx5WXaS57n5uQye/asS7bNnj3rMg9g3eOaitls5OT5JYT0uRHPEOt64WpTknqKirMniXrk2SZXomgJ+rwcSpasJej5h1C5dkR/V+Oc6d+ZuV9ZloqRZcZvPctDP+wlsLCSvcO7cqG7xchbO+sTnEwyTpV6rjuezn5APP4qAFVOanp/+iYAASVljExMxuTgwKZBvZEVFih2NBi45UQcPpUa7txnyZC94xXLikzfC+mseft/9XrHnM1mfnvrY+58eSEfT7uF68+ex1On44W5d3CqFVVcZIMR08bllO8/T89Xp+HVu+WhI3ctP8ITX2zn+1kj+O7e62qMP4B8WeZ4Ui6hDz6ACvjTlj3M2HeMhY/OJjnEthMGrxXUZ7aT/P1uYt+5C4/oa7M+9lV7O6LLzkDWavAO72n1vpy9AykpL6Rto9D+oLw8k4SsDcgmI13HzsEzuImipS1ECEFa+jZKj+wj4r5HcAlrwjsXgjN/f67mTsGgUrXI+BNCkLf6Fzz7DsYrtG2V2bUlueSc2MKQ/o+gUilzoUxIyK55fDHbNzExgdjY2JoYwLi4OKbeOumS7OCE+OyGmmwQIQSns1fh4h1IcO/rr3yAQujK8kk9+Bvh9z6Eg5v1pCbMOh2Zy7/FZ+YUnCKuvoSHy1Cp2HJLX7bUI1WRHu5HdGohjmaLR7D28qm74Q9P8gdf/8LY+PM1z2uLRAvgunefJyfAUj3k8NP/wM1guKwvSQhmP/snTnS3zDvf/PsbbjqTWNNvbWq371hPnV0BVDk7cS40iL/OuaPmtZkvPX75+28mhvRsyr77CbcofwZ8Og9Hz5bfIAw/lMzTn20D4Lb1p/j6/kvjaPM3niZgTE9Ubq44mszM2nWI7jn5rH3jv7w1cwqLrx+GsOKNkJ2GEUIg7V1P5vqT9PlgFq7hHa9qk1JctQZg6bGDeA8cblVvw0U8grpQmHgQ2vgmQqMtIrFgG5W5yYQNmkhA9FCrv1/ZZOT8yV/RF+QROf8pHL28m3Tc8Tf/UnOyyUC/V95rUf/lJw5jLC2ix3DrVo6ojVFXSeG5gxQnHyd88GTc1MrJOeTnlXPmdCbBIc41xl/Pnr1YtXIdIaEhrFq5jqm3TqrJDl6xYh15ufoWxf+dq9yLrryQXpPartqH2ajj3K7vCLh58hXFwFuDEIKszYtx6dUNj1GDrdZPR2H+p/NqHp946GtuHT6ceedS6JOWdcl++jpSJ1Kdx661wg4CKyobjGVb/u7ndP3yHZAkOhUV17vfRQPvIikh/uyPjuLnMUNYP7Q/xibU2G0JwmxG2r+RwuWHiXrkJgJvvrxme3MIzivj//72GwAmBxX3ffngpf0JQf7m03g/cJ9lH0cHpr+8gLd/WMG0gyd4+4cV3Lf9AK/Pvo2DPa0Xc2bX+LscIcuY1v9G2Yl0+n44Gyf/q1gWqQlclQagbDRQcfYEfaY+2yb9uQdEIJv0VFRk4+lp/Tgbra6EpJLdlKadJij2eqJGzbSaxmFtDJpyzu35FrWPH50fWIjKqWkT9u8f/B1Xs6XKhwB6v/o+tMBQNZaWULBlDT3HP9qmmnVFSYfJOroeZ69Aujr2v/IBzWTRd7tZ8OR16HS6mmxfH19/dDojPr7+NdnBOp0OjUbDou+an2ifKiVSkLifXlOfROXYNjVohZBJOrIE185d8Bk80qp95Z/ZirmkjICHZ11552sIfX45hhIN+8aPYf+Ey7M9H35iHgCROfncuf8YTkYTN51OxE2vB6DA+48wEq2TGrWp/lhno6MDblotGjc3frxhOLN2HWJ7316YHFQsHjOMnMBqL0stw6vU24t7XnxMoXdaP8acfCp+XIyDi5r+/7sf56DW6Sk6GE0seeArVKJauuqjOVR4XRqPW5mQg6RS4dTlj5WRSlcXnnzoHnbFduelX9cTm5nDL+99zrt3TOSTKTe2akwNYdf4uxRhNKH5eRHG4ir6fDALR4+rL0SkuVyVBmBlYhwuoRE4ebRNzUVJUhEUM5qk/J0M8rTeBaiyKo8LpfsozYgjqOd19JnxYpvFwFUVpJO063u8B4/A//rxzbqDDqosr7nzH/DXtxAtWD4VQpC7eim+I27ArY2rrrgHRaFyUNMveqZVPGdpaYWsWBbPsmVrcHNzu0QEGizZwStWrEOj0bBiWXyzRaBLy9JIj19GjwmP4OTWNI+tEqSmbsVUWWH1Or9VF85RvnUPIa8sRLIH2V9CyaEL+Azp0vDKQPX5nBYWzAczLFp179xza727xlTHDV6J78eP4fvx7Vv/XJjNqA5touCXQ3SaO4qQqQMvSfRoCZIsWDbnc5xMlpvZl/42jfP1xI4V7kzAf2yvy+cKSeK30UPYMLgvz6/YyL07DhJaUtaqMTXGRW0/u8YfyBot5V99jaOnK7HvzGy2yHdHRV9Qge/xPQ2+flV+ChWnjxEUNrBN+wyKGU3BuYOkiLN0kZSrHSiETFHxOVJLDqEpziYoZjR929Dwg+qavttWE3zrTDxjml8ap+9rHxCZl4OsEuhdWpa9Wnb0ALJOS2SnsS06vqUIIcg+toHwIVPwdLGe4bl/XxLZWSXMnTeG+pKi83L1LPpuX7ONv6qqfE4lLKbLDbNx8287PbyStNOUHTtI5ENPW7XOr7GkmOxVPxLwyGwc/Xys1k9HpfjABRwGdjwpnNZgSM+mYvESHD1c6PfRHFxCfRRpt+/ZTJwNZoyOKn6ZPphdYy6PLxdCULw3Cd/HH6Ch9ZEqV2denz2Nn68fRnhRac32yUdO0Ts9my9uuZ4yj9bP73aNPwum4lJKPv4Sn4GRRD1yI5LDtRF7aarUkf7aT3hNbTi7+aozAM06HZrU8/gMuadN+1U5qul24/2c2/QZ0ggHokTrJEKqNAWk689QdOEIalcvAntdR/RND7TZ8h1YdNuSE9ZQlRRPp3kLcA66XF+sIW4/sp+31/7KoqGjeGfKDNJaUe/VWFZK4bb19LrlMSSFki+aSnHyMcwGHdHO1o8rS0sr5B9/X0FQkBe9YsLw8nalvExLQnx2i2L+dLpSjscvImLorXiHt16ypqloirNJPfArEfc+jKNn65bcGkM26MlY/jVek2/EpVfbZTR3FMxaAxVnMgmdc20I28p6A/KONRRuOkPkn64naEJfRT32p/p2YtLyJwnNKiEnvP7VJU1qISBQh195rkyMCCWxOlkpsKyCd75fjo9Gy5+27GHx9cP4dtwoMmywfFxHwpCeTfH/viH0jsGE3znsygdcJcgGE7lvLyZyWCAj5nVn+4dn693vqjMAq86dxbVz1zYvCwbg5hdKj1se5vy27ygLjqOH/9gmCwXLspmKikyyRTKl6Wcx6arw6zqA6HF/avMlTwCjppxz+39A5exM5EPP4ODa9M8zOjOdt9f+igTMPbyXdyfdjtzC5BQhBHnrfsNn2Ghcfds2s9Ns1JN5ZB39etzdKrFkg7GKnNxjhIYMwkl95WDs/PzyVlf5MBgqOZbwHUG9xxAQ3XZLQEZtBed2fEPQpDtwCbeerpYQgqwtP+PUKRTPcdYr89iRKTmcgmdMGCq3tp8L2xrtyXjKl67AMzaMAV88gJOvckkPs385iJDgl9uHYHZ0aND4Ayg9koLP0K7NNjwLPd3584N38eSa3+mXlsWftu7lT1v3snFQbz6fcAPHoiNb+zaaTUdPItGeTqTk2yV0fWIcAde33Q1weyPMMqX/WYKbnzPjn2/8JuiqMwArE88SENR+dfzc/MPpPf05ck9t5/DJT3HxCcEzNBp/gx9OTl6oVI4I2YzRpEGvL6NEXYKmKAtNURbOXv54h/Wk88gZeARGtkkGc31U5KVwYfcPeA8ajv8NtzRrHH7Fxaz56sOaLMCTYZ1abPwBVJw9ibGkmJ4j7m9xGy0l78wOPIO74O3dusk3J/cYF5I3ArSoXFxzMRo1HE34Dt8uAwjp3XZLQLLJSOKeb/EeMBSvvtYNwcg7vQVTYTHBLzzaJhnNxuw81MlHrN6PkhTvS0LqNaC9h2FVTAXFaFctQ5teRLenJ+AzOErR9qeuP8mC6rJwfeKyefm12xvdv+x4Go7DRje7H6FSsWVgb7YM7M31ZxJ5eNMuxsSdZ+Kxs3hXaZn154faXDamIyeROJ76ndJFe+n1+vRWaT12NIQQGBctR1Ni4J5Pr7ti3OtVZQAKs5mqC4l0nTatXcfhoHYhfPAkQvuPozwnicq8FDIrz2DUViDMJiQHBxyc3HBy98bFLRDviBjcAzrj6Ny+d+pCCNJzdlO853dCpt2DR4/YZh3vYDSw979v1hh/md4+3PPwMy0ej1mrJX/jSrpfP7dNs37B4snKi9/DsP6tz1IMDRl0yX9rYjRpOZr4PV7hPQkbMMHq/V1ECJmkY0tQ+/jhP9a6/VYmnKFy+z6CX15oqbJgZWSNlpLPviViVseJpZNNZkoPJxP02vRWtxXu7kX/wFB8nV0p0Ws5WZBDVlXrPNStRdYbYN8G8lcdI2zGUHq+fJvigf0jDl3gxQ83AVDlqubvL0xtdH9hlqmIyyLkvtbpsO7q05NdfXrSPTuPhzfuwlOrqzH+gkrKeWH5BtYO7c/2vj0vyapWmo6YRCJkGfOWFeTvTaLPv649jT+X9es5f6SQOd+MwdHpyuFSV5UBqM1MQ+3jh9rNenFHzUHlqManUyw+nZpnSLUHJoOW88eWYiwtofP8p3DybX7syem3/lpj/JU7OzPumVf/v73zDo+iXPvwPdvSey+E0EINvUlXFAQFRBSl2rF/9l6PvR/LUXqzUAUVAUG6gPReAiRAeu/J9t2Z749IBAQJye7OJpn7urggy+68z2x23v3NU+tkU+GGVfi2bo+vkxtbX4rcIxsJad6lzrN+AXRaHxd5/ozsOzUf34jmxHa/2aVj0M6mrMFaXkqTyQ87dV1zXjY5qxYT9n93owlyfkWzJIpUfvstgd2bET4kkZRPfnP6mo6g4kgmHlGBdXqPWgWG8GSXvvSI+KcHZU9eJp8f2E5yaVFdzLxqJFHEsPsQFT+vwq9dDJ2m3l3n1i6Xol1SFp+8ugyo6vU3dt4ULJ7/frOhP5OPLszPYeHS5OgInrv39r8fkCQ+mbuEgceSue3P/RT5+rCsT1c2dGrLroRmDvcQ1rciEtFswbDgO2ylBhK/mIjWv+GnPpxPyO4NbFlyhrvmD8TTv2Yt2hqUADScOYVPi8aR8OxI9IWZpGz7Fp+WbYgaM6lWVZsJWenV4s+iUtHzpffrZJMxK52KE0dIHPl8nY5TG6zGCgqT99C76/+5fO3aYrHq2X9iPn5RLYjtMdKl4i+jcCcVxw4Sd/8TqJzokbNVVpCxdDZBd47Ao7nzmkqfj7j+Z0SLjfgHndOrzVkU7z5NcK/aF8Zc36QlD8a2xlu4dH/ReMGD99r2ZnrmSdZnpFzyOY7GlHwWw0+/IIkiCS+NwL+Dc0J7bU/kMP2JHxAAu0pg3Ox7Ka1BTmFFUjZ+bZ2Yry0IfHzrjWSEBjNi9yFCKvVM+X0rU37fSqGfD5/eMoQFg+qPl9qR2MsqKJs+C8+YYNp90HjavJyjdF8qBz87yoRZ/fCLqLnwbVDvkiHtNDEt69dGLSeSJJGRt52iLb8TPvxW/DvUPm/rVEwcj906kU9WLKLLKx/WzS5RJH/VMsKuv9nls34B8o9vI7hZZzw83MOTfCXM5nL2nZhHYJP2xHQb7lLxV5qRROGONcTd+xgaH+fNnhZtNjJ/notPry749HZNiyeP5K2kbzlBx68modK4tvq8rpTuTcV/4p3Upj18q8AQHoxtze3Db8bTy5Nlq1cTFv53b6KC/ALGDB+OyWhi6eqVpFWUONUTaM3Ow7x6BZWn82l6d39Cr2tX555+/0b/P5NRAaJQ1eg5O7pmUYDKk7nYo5zrgDgSH8uR+FhenzCKGw4mMWL3QQYePYWf0cSBFn/fFA0+eJyI0nLWd2pHflD92MdqiyUzh5Jv5hA+JJHYiX1cuv+5A5UpeaR+9DO3ftaLsBZX97tuMAJQstsxZWfi2ydeblPqBTazoSrkW1ZK3H3/hy6kdgPKt370GoU+fox+9Hk2dOxKl451z3Mr278LQa0hJtD1I73sNgsFJ3fQvdODLl+7NhiMRRxImk9oQi+iOg526dr6gnTO/rmImHH31vrzUxMkSSJrwyJUAb4E3HKD09Y5H/PZDLKnbqD9R3eiDXD9TUhdsBRXYimqQBdfu76PT3bpi7fggaeXJ6eSTjBm+HBWrPmNqMhIcnJzGTN8OKeSTpDQtg3eXt482aUvj25a4eCzAFthMdYNqyjZdYaYsT1JcEKe36WYce8AmqYXseD2niS3qnnrK31KHn69XeOAsKvVrOnWgTXdOqASRdqnZ5P0V0uZyOJSPp2zlCC9gfe/+4m0sGDWdW7H7oRm7GjdnHKf+vV5/jeMh09QMm8xzR65jrBr3T/VytGY8so4++Zihr7SmbiuoVf9+gbTEdGcn4vWP1D2Qor6QEXuaY6u/LRqpFsdxN+PUz8mzKCnTUEuny2a6xDb7EYDhZvW0KzLLbLcyZWcOYBPWBzeXu7ff6uiIpt9R2cR0WGQQ8Wf1VRJ7pFNWE2Vl32OqayAU5vnEDlyLF5N4h229qXIO7QWW04+Iffd4ZLKeFtJOSXT5tHiyRvxaeY8YessKo5n49cuplbvVYyPPz0iYgkLD2PZ6tUktG3DqaQT3DrsJs6eOMWtw26qFn/nPIM9ImKJ9nHcTFVbcSnmnxaS/84XeIT60XXeA8Tc3tOp4s+33MjrH6ys/vmVN0dzrH3NBbRosWHKKkEX4+KB8ICoUnEkPra6IEQA5tzQlyNNq+xvWlDM/eu2MePr7/jz+Q8QRBEArc1GfF4hSNLlDu22SJKEeu/vlH63hDZvjibs2nZYywxkLdmFtcwgt3kuwVZhIu2NBfS6uxVtb6jdzV6D8QCac7PwiHLdpIP6iCjaST3zO2UHdhE58o6rrvI9n2++n06HvJzqn78a6BjPTNHmtfi2aY93iDyl+wWndtEiXN4xVjWhqDiZY8k/0vSaMQTFd3TssZP3kLm36sswMvGfHg2LoZyTm2YSeu2N+LZxbsulwuw9VP6xm8hXHkXlUbPE5rogWqyUzZhN5IguhPRt5fT1nEFlci6+CTX3XJ1Pp7C/e22GhYexYs1v3DrsJo4fP07nTlVzsNu1a8fy31YRGPq3x6FzWDTZ+pN1sttWWIx961qKtpwgfFhHusy53yXeV63ZyvJJ0/AxWjF4afnkiauvYjdmFOMRGeCSqvQrkRMcyJcjrufLEdfjZbZw3eEk+h9LptepswRX6KuLRfyMJra8/DFFvj7sa9mUY3HR7GvRlIPNm1Dhxr0jJZsdy69LKDySSeLnE/GMrCp0yl97hLS/WvbEjO0lp4lOR7TYyHnvB1r0CafnhJa1Pk7DEYD5OXjUYdpEQ8dUVkDKzh9Qe/sQ/+AzdZrQ8OTaX7g2pWqzl4C7Jk3hbFTdBZulMJ/yI/vpMMr1hR8ApvJCzBVFBLdNuOrmza7ktPUAWSlraXHdXfhFNHf48UNa9bjg7/OxmY2c3DyDgC49Cex2jcPXPh9D2hlKflxB+LMPoA50fh6TJEkYF32HV0wQMXfW32R6Y0YxQofu1OZTG3RRBCUqMpIFCxdWiz+ABQsXEhURidFuu+zrrgZrdh62P36nZGcKEcM70WX2/WgDXROm1FhsLJ80HR+jFYCzTa8+jAZgSCvEO752r3UkFzdvNnroWNWjE6t6VP3+fIzm6ufqrDasahUhlXqGHDzOkIPHq/9vf/M4Rr/yKACCKBJTXEpWcKDLexFejGgwUjFnLoJaReLnE9D4/J3lGj408YK/GyqSKFH+9RK8gzwY/EzdzrXBCEBLYQGRXrX/MrSaKilK3kNIqx5oPZ2XzO5qJEkio2AHRRvXEDJoCIE9+9UptDr00F4e3LEFgSrx9+H1N7G7hWO6rBes+5XgvtfK9v6XpB4iKL4jKkHt8ubNNUGU7CQVrac0I4k2wx7FM8A54Umtp+8lPX92q5mTW2fjHd+S4P7XO2Xtc1gK88laNo+Q++9EF+uaGztp8wrMeeV0+GRcvUkkt5YZyF97hPChidXeMktRJT6BtWv/UmI2XvBzTm4u48eNu+Cx8ePG/cMDePHrroQkSZhPncX6x3oqT+QQOaorXedNQePnWSu7a4PaamP5pGkEl1aFDGdP7MOyW2qXd2xML8IrTv60kSs1b9Z7/S2YcoMDaT31HbqeTqd9ejbdU1Jpn55N87xC/Iym6uf5msws+ngGUcVlnIiNJCM0mJSocM5EhnImMoyDLqrIt+YVUjp1NoHdml1ypq82wLvBe/4AhB9/oSzbwPgZ/epcDNVgBKC1tAiPdrW/AK8U9vrXtd1UPFr0ZaTsW4xoNNDk3sfwCKt7fsonPy+sbvfyc4cuzOvnmNwzQ+ppTLnZJPSc5JDj1YbS9GO0irwOcG3z5ppgtRo5lLYUSRJpe/P/ubw6WrTbOLljPtrgEMKGjnKqQLJVVpCxeAaBtw7Fq4Nr2jp5pGwlfd1REr+cVK9aSFwq7CWabQi6K4ciLzXq61DB32kd56p9TyWdoF27dixYuJDx48Zx/PhxRt447ILq4IMF2TWyV7Ja0e85jHnLFuwmC9G3difhlZGoPVwbOhVEiaV3zSSkpEr8zRvXmzmTr36CxzmMmcXQukutvK6O5GqbN9vVavYkNGNPQjPm/TVSUSWKxOf/XdV9+/a9BFYa0IgiHdKz6ZD+9+86OyiAaz5+CQQBL7OFT2cvITUihAJ/P85GhpITFEB6WAhGnbZOTatNJ89QMvN7mkzqQ+TNrukC4I4Ebl/HjrVZTP52IFrPuncmqD873RWwlZeh86l909N/C3tdibqIR2cgSRJZpfso+P1XAnv2JaT/9Qhqx7Sx6Pf0q+z89G3+jG/BS7c5RqxJkkTBul9p0mkYKo08OTQ2ixFjSS4BbarGvrmqeXNNqKzM5dCpBQQ0aU+THjcjqFzbkkQS7Zza8wMqrY7Ikc4txBAtZjKWzcS7dxd8+7tmeLs5JZXsbzbS/sOxDp0h6wouFfZSe2qrJmVcgUt5i7L05ezJyyRe8Lig2nf5b6uIiohk+W+rGHnjsOrq4GWrV5MqmcnWV/zrWraCIoQDW8hfewSfFuE0uasfQT2aO7Wdy78xaOtJIgqrbF5yS1dm3jOgTsczZZfgO0D+ELAjmjeLKhVnIv+OLsy5oT9zB/clqqSMhOw8WuQU0LSgiGa5hXhZrNXCTmO3c9O+I5c8ZrGvNwPef746t7B1Zg7dU9LQe3pwOjIMSRA4HRmG8RJ5vtqjm8iZ+wetXryZwK7xdTq3+kzpgTQOfnWcSXP74xP8zwZPWqONsNSqwj2VVSQ0rRKd0c7x6y4fQWkQAlCy2RCtFtS62uehXC7sVRPqIh4djUVfxumDP2ItLSF20hQ8HZCbpzObWTzzC0Y/9jxlfkG0ffMzB1j6N5UnjiDZbAQ3l+/OTl+QjndIDGqV/Enc53PGfoTMo7/SpNcthLRwvTdSkkSSDyxBtJiJGXefw24kLrmW3U7GyvlooyMIGOWadi+2gmKKp39Lq+eG4dM83CVrOpJLhb08Y4KwZufhmfDvE3Qu5y36/MB23mvbG5PRVF3tGxgaitFuIzA0lGWrV1f3ATQYDXyetPOSx5esVgz7j2HbuwP96TzCBrenw2fj8YqVfzzXpoFt+GPjcfLD/PjikbqlM0iShCm7lMAw+UPAzkJSqcgOCSI7JIjNiZdO+THqdLwy8RaaFJYQn19IWFkFzfIKCa40EFxpQPir2tjDauXzmYtpl5nzj2PYVCpenjyaxf17Ioki/iuW8MjGYwRe0wr1rtNkZRRT/leaQJm/F7u7V33G1XaRyNwyTJ5aikLcJwp3KTxMVkKLLuywICARl1FMatNQsqMCAWhzKofBm0+gsYtYK0xUbE2ibwt//F/fT0mMD0vfr7putUYbr/Vdidp+6WrunNaXz59uEALQbjah8vCULW+nLuLRUUiSRGbxbgrXryawRx9ixt6NUIuJHv9AFDn4/kuogHX/fZsbnnqt7sc8D0kUKdz4G3GdRiAI8iUYG4qy8AltUufjOKp4xGY3cyx3NfqCdFoPexivINcXOEmSSMrhZVjLSoid8ECtJsTUfC2JrM1LQBQJnjzGJdeyaDBS8s0sYsddQ1DP2k/NcDcCu8VTsO4AXGEqxOW8RcmlRUzPPMnS1Svx9vK+oAk0UN0ixmA0MD3z5AVNoCVRxJycinB0J0VbT+LTMoLwGxMJ6Xur7KF1tdXGA/O3Me2+gSAIvPSfWx1yXFuFCQQBtW/97a93qXSAq8WmUfP9tf8sDFOJIs1zC6j0qhJu0UWl7G0Vz5H4GJrnFuJlsRBgMNKksASNKCJIIBrN6L+dx2encrlNb4H1x/5x3GNtoqoFoF+5kSX3zATA4KnFpr3wRvW5t8Zw9K+2Pnf+uJse+9MueQ5pTYL58uGqtCaN1c6Hbyy/7PkuGtODPd3iAej3ZzKjVx4EwL/CSEx2aXWqVEmAN+Pn3F/9uqV3zSCkRH/JY7793PBqAZh4LIvxP+658AnHSwHwrLRe8PA58VcS7Y3Rv8qJYfLVUtTUl8qQy+fVynpFCoIQDMwGhgCFwEuSJC242uNINptTv5zcHVN5IWf2/4hoNhE7+SE8Ix03jujIW89VN4sMq3T8APjyI/tReXoREOuYQpLaYi4vIIS6iyxHFI+UV2RxJGUpvuHxtB3xJGptbeY51A1Jkjh97GfM+bk0mTQFlc65LVhy96/GmpFD+HNTEFwwdUOy2aiYPYfAbvFEjXKPPE9HEdIvgbRZW9CdOI1nm9oJ2/UZKaRVlPBkl75cqtQoVTLzedJOkkuLqkWfOnkvRVtPovHzIvTatk6b01sbVHaRhffNJia3jKASA+8/N9xhxzbnluER4fy51M7kSsUjdUFUqUiJ/jv//GxkGK9NvOUfz1Pb7QBYisoo+fQrAlpHcvy+AXyhr0pnCCgzEp1bWv38rOjAv9dQq8iKCiQirwxvkxVMFwsksfrfLc4W0nvv2Uva6mP4u0pakKTLPg9gw6C/v7Mi88sv+1zrRfuZqBIoDvTG4H3hnmry0JIf+nc/zfTYYH64tRspu5MIiPGh1YBILN4aCuJ9sXj9rXesnmpe2zeq6tiaq3OiyK2avgYsQATQGVglCMIhSZL+KfcV/oFot5GeuYWSHVsI7j+YoF79HRqi2//282ipurMQgc6vfeywY0NVyK9oyzqa9XCNx+ffsBjK8QhqXefj1KV4RJTsnKr4k/ykbcT1ukW2kLgkSZxJ+gVTdgaxkx5E5eHcysz85D8w7D5ExIsPo/J0vtiVJAnTjwtReemInyJ/zq6jUek0tHz6RpI/+YGQx+5D17R2/VGTS4t4dNMKon386BwWTZCHFyVmIwcLssnIy8V0LBnVmcOU7DmDR6gfwX1b0e6DO/B2g2rY86kq+JhBZH7VDaxV59gbDHN+OR7hjmuELQdXWzziDOxqNebTaRRPm0/M7T2JurU7a2v4vVDu78XY+VPQWmx4XiT+gAvE1sLberB+0KUdDpW+f+91No2ap9+97bJrnj6vSfzWa1qSERNU/XNmTBDl54510TmMm3M/Rq8r31Dv7N6MjXv2YGwVwJjPelFwuXxZQUDU1O77UzYBKAiCDzAG6CBJUiWwTRCEFcAk4MWrOpZGg2izXfmJDYiK3NOc3bMMbVAITac8hTbIsXk1Wz98Fe+/+nxJQPvXPnLo8QHKjx5A4+uHX1TtG1k6CtFqQqOuu9CpbfFIpT6Po6k/odF50W7kU+h8AutsS204J/6MGanETnoItadzG8IW5u6lfPVGIl54GLW/i3J3tvyKIa2QDh/f+Y9WEg2FwO7NaP7o9Zz+YiZRo7oh9bgeVS2b+2brK0jP3I3ldDra3CTKj2Rgyi7FP7EJ/j2a0+Sufni6qQdMbbPz46TphP+Vc7VodDe+etixIxMthRV4hLmHp7O2OKJ4pK54JG8le+pGWj47jOBetfNcW3UarFdINTjTLIwzNZjwI6kEdvWoWWu5vIgA8mp4DdRE/AH4rFvD6eMlTJ4/0GnFUnJ6ABMAmyRJp8577BDwj0+hIAhTgCkAmoCgi/8btacXotmEJImy5pHVlZq0k7EYyklNWokh9TThN96Cb9tEh3vP7t6yjjBjVXsECej2wjtIasd+VCRRpHjreuK7jZbd+weAoEJCvPLzHIxdtHKqfBsFJ3YQ0204oQm9ZHs/JEnidNIvmM6JPy/nij/96ZOU/LKC8KfvRxPmmsIAXdJmMtYdJfGLiahruBHXlvP3LZ0ModCQ/q3xaRlB+vxtlCx7n4AuTZGatkPXJAp1aBBqXx8EbdV1LdnsiEYTYkUltpIy7IUleOjTMaYVoT+Tj2QX8WsThXe7WJo9ej2+CVGo/sqzOjeC6/xehO6AzmRl6V0zCP0r32r+nb2ZcW/dqn0vhaWoEqM2HOfPqWmYSKKItHkF6euP0/6jO+rl+EVHU7r3LIfmneLu7wah83aeTJNTAPoCFyeVlQH/8KVLkjQDmAHgGd3kH6UuglqN2ssbq7ECnbd73onWhH9rJyPabWTkbqd46wYCuvai2aMvoPJwTrhsQ9sOPLPpNzTAoMdfxuDl+E29MukIKg9P/KLcY9yWxtMHi+XSibnOorDoJCfTVuEdHEO7Uc/UqY1RXZEkkdPHfv4r7Ot88WfMSCX75+8JfXQSuiauKXAxHj1FztwttP9knEvavZy/b/kmRMoycNUzKpCEF2/GWmagZNdpyo+eRr9vF+b8cmxlRqTz5sBqfDzQBHihC/HDMzIAbUwQASPi8G4ehke4/2VvTNx1BNf7b/1cLf7mjbuGmfc4p62TpagSdZO6F5A1RkSzBeOi77EUVpD45cR614bJGRizikn9ZAW3ftqTgGjn3lDJKQArgYtvi/2Bf28odRl0wWGYygrqtQC8VDsZSZIoy0wi7cAKdEEhxN33OLpQ57Sr6J90mD9btSUjPIo+z7xB05JC8kIc39tKkiSKtm0gtu317uH9A7wCIigWinDFKHe9Pp8Tub9jKi8grvetNS6AcVbDcUkUSTnyI+b8PGInPej0sK85L5vMpXMIuXcsnq3+vVWJo7CkZVEyZyFt3rjF7XLUXIE2wJvwIYmED7lwdJR0LjleJdT6WnTXEVyvvTySh+ZsoTjIh3mT+jptHWuJHm0HeXMAY3z86RQWVZ2neagghyy944v2asPlKoxtJeWUzZiNV2ww7T+6U/YqcXfAbjCT8fZiBjzclriuzu8rKec7fgrQCILQSpKk5L8e6wTUqgDEIzKaEjELf+TPJ6stF7eTMRRlkXrkV2wVZYQPHYVvQjunrf3o+pU8tm0jRo2W8Xc9wokmTTnq5xwxbUxNQbJYCIxr75Tj1wa/qBZk7lsNgYOctobJXMap4j8oTTtCZMfraHHd3aiuIrTujIbjkmgn+cBirGWlVdW+Ti74sBQVkLFwBkF3jsCro2sqv22FxRR/PYfmj9+Af4e698VsSDgiB9KdRnB5Gs3ctWAn0+8biMHXg88ev6FOEyhqgrXMgIefPL3nWgWG8GSXvvSI+Ofnek9eJp8f2H5Bmx45uFSFsSUti+Kpc4kY3onY8de4jSNATiRJovSrpcR2CaHrWNfcGMsmACVJ0guCsBx4SxCE+6mqAh4F9KnN8bzimlNxdD/EyJvI6gjMlcWknVyL/vRJQgYOIbBbb6c24L119zYe27YRAfCyWQkwGZy2FkDxn1sI6jPQrfI1/SJbYDNWUF6egb+/Y8M5RlMJKWV/UnzmAGGte9NhzIu1GuXm6Ibjot3GqT3fI1osVX3+nNzqxVpWQvrCaQSMvB6fXp2dutY57JV6Sr6aSczYXoQOqHuVt4L74q0388u4b/AyWdF7e/D9uN5OF38A1jKjLD0Ar2/SkgdjW+MtXDoVKF7w4L22vZmeeZL1GSkutu5vLq4wNuw/Run3S2n++BDlmjwPj1WrqMg3MuoD11Viy+1zfQSYA+QDRcDDtW0B49MigbyVS7H3MMvSN80RWA3lpKVupPzwPoJ69KXZ4y+h9nSuRyYhM413Vy+vblq5oOs17GrV1mnrWYoKMGWl07r3ZKetURsElZroLkM5nrSSHu3ur/NEEEmSKK/I5GzZLsqyThLWqhcdbn0BrVftQ0WObDhut5o5uWM+Kp2OmHH3Ob2Ppq2ygvQFU/G7rg++A13jLRLNFsqmzSKoT0uiRndzyZoK8hCRV8aC+2bjaanqXFDp67rvAFuFCZWPawVgq8AQHoxtze3Db8bTy/OCuczw9xxnk9HE0tUrSasokc0TeK7CWJIk+HM15b/so+07t+HX2vXN7d2V0n2ppC88w90/DELj4DZF/4asLhhJkoolSbpFkiQfSZLiatME+hxqbx+84ppTknrIkSa6BKuxgtMnf+XILx8hAM0efYHQ64Y5XfyFlhTxy6wvqsXf/pg43h55u1PXLNm9jYCuvWSb+ftvhLTsgYd/KAdTl2Czmy/4P4tVT1rGVizWfy8UsVgqSTbtYefRbziashTvkFgSb3uZ2B4310n8ORKb2UDSlhlofP2Jvm2y08Wf3aAnfdFUfHp1xn+o46swL4Vkt6OfPxevmCCa3lf/owIKlycyp4Qld8/E02JDAt55dhg/j3BND03JLiJabAgu6F95Pk926Yu3lzeeXp7Vc5lLCwvx0mgoLSysnuPs6emJl0rNEx3kDdFLVhumJd9TtCWJxC8mKeLvPEx5ZaR98guj3u+Of4Rz868vRm4PoEOw6SspP7gbv47dyN66jpCW3d0qvHg5LPoyMtK3UHZwN/6JXYl/+Dm0AYEuW3/rF+9Wi7+0wGDGP/CkU9cTLWbKD++j/c1PO3Wd2iIIAs36jyN953J2HvwfLWMHEx7WAZVKc9kJH5IkUqnPJUdIoywzCUNxFgGx7YjtfjP+0a3c7nNoMZRxYtNMfJq3ImzISASVc+2zG42kL56GZ4fW+I+s28zVmiJJEuZlC5FEaPH0jW6dX2QtM5C/9ojbtVCpL7Q9kc30J39ALUpIwLNv38rOXq7LA7cbLKi9dC79jMX4+Ffn/J2by3wq6QS3DruJBQsXMn7cOE4lnSChbRt+/OknQvz8CfX0INrHj2x9rWos64S9opLyWXPRBnjR4dPxTm+/VJ8QLTZyPlhCr7ta0bSH69vfNAgBWH5wNwXrVhJ6/c2otDqySvYRG+yYPClnYCzNIzN1CxVJhwno3IP4R55D6x/oUht8jEYqdDr8LRbKPDwZ+uSrTl+z/OgBvJo0w8P3n70c3QWVWkN837GUZ58i4/AGTp75FZ+weHQ+QQQHtcRmM3G8ZCNWQzmmsnyMpbnovP3xi2xJRPuB+EcnuKV3E8BUVsDJjTMI6Nqb4P6Dnf6lJZpNpC+djq5lPIG3DXPZl6T99+UY0gpp/+EdqFwwVq4uuGsLlfrCw7O3oBYl7ILA0+/dxt5urkmeP4fdZEXt6drrvVPY396zsPAwVqz5jVuH3cTx48fp3KkTAO3atWP5b6sICA5GslgRdFo6h0WTrT/pUlstWbmUTJ1L6IDWxN0zwGkNjesrlu9+wi/Ck16T5SlebRAC0L9zz+q/fZq1InPBTMJvaiXbNIVLIUkS5dmnyD67DVN2OoF/5fhpfFxcPSZJYLGg9/Ki54vvMe37GTw0+SGXLF22byexbW9wyVp1xT86Af/oBKzGCirz0zCXF2Dz8MIsSajUWnwjmhHaqgdeQVG1KuhwNfqCdE5tnkPotcMI7Nbb6euJZjPpP85A1ySKoHEjXCb+hF2/UbLzNB0+qx+eBndtoVJfeOad25n1f9/x9nPDSWnpiiZOFyJarAgubl8S5HFhmDAqMpIFCxdWiz+ABQsXEhURidH+d3j64tc5G+ORE5TMXUz8lEGE39DBpWvXB8L2b+KPP/O5Z+G1skUpGoQA1Pj4Etz3uup/B/UewKlt82h73cOyFoRYTZUUJP2JJVhF+aF9oFYT1Ks/0WMno9LK8+V04O3n8RDt9H76Tcr9/V0m/sz5uVjLSgmIqV9VX1ovP4Ka1u/NqzQjibN/LiRy5B34tnH+uYgWM+nLZ6KJDCNo4i0u29x0SZtJ/3k/iZ+NR+vv2i+72uJOLVTO4e5h6dt+2otVq+aXm7tg9dBw1/R7ZLNFsomoNK5N8ygxGy/4OSc3l/Hjxl3w2Phx41j+2yoCQ0Mv+zpnIUkS6j1rKV26mzZv3oJ/e6X10sUYM4r4/cNDjJ/WF08/+SJG7pWgVEts+kqKt2/Epq+a9xjcbzAeEVGc2DoLm4s+9OcjiSJlWSc4sXE62QfXUnHsEBEjbif+4WcJ7NZbNvG3/YNX8RLtqIBfp3/i0rXLD+0hoFM3BJV7h+QuxmqqJPfIJqymSrlNqRUZhbs4u3MxMePuc5H4s5C+fBaa0CCCJ9/q9BzDcxj2HyNtzh+0f/92PGQYu1Ybzo1Qs5Y5t+3S1XIuLJ2/9ojcpvyDSQt38tTUjTzzv/UkHsmQ2xwkUQIXhzUPFeRU/7sgv4CRNw7j+PHjtGvXjoOHDtGuXTuOHz/OyCE3UpCXV/3cgwXZTrdNstkw//gD+X+NW1TE3z+xm61kfrCUQY+1I6JNoKy2NAgBWLJ7GwXrVlKyextQlcwfMWIsnpExHFvzBfpC528UkihSkXuGlGM/cXDZW2QcXYNfh86EDBxK7OSH8I5vIWsy+vYPXiHE9Pd838FPvuKytSVRpPzIAaLC6l8rjnPNl4uS98htClBzQSpJImdSfqN42wbi7nkMrybx1f938Q2To6j2/AUHEHz3bS4Tf6akFEq//5G2b43Bq0n9mfKR88t+0mZtIeeX/XKbcgHhQxNpev9AtwtLP/H1eh6a+wcAlT4enG7unIlI7k6Wvpw9eZnVrV7OFXws/20VzVonsPy3VSS0bs2pkycZM+wmCvIL2JOX6fQCEHtFJWVfTcVWZiTxvxPwjPh7kIAjbnbc9YbpajHPXU5YS386j4mX25SGEQIWLvobQFCpCB82Gs/YA5xaMwvfth2Ja3adQwsQbGYD5dnJFJaeQJ98HI2vH77tOhF396NOG9dWG1Z89T4hpipPqAQMfeQZbC4MjRszUlF5euIVVP9K/x3dfLmu1GQaiGizkrx/EdayUuLuf+IfeabniqaA6tSJuiJazKQvm4kmJIjge1wn/sxn0ime+QOtXxuJb0KkS9Zs6LhjWPo/767g+i0nAMgL9WPSjHsw+Mjf71VQq/4ep+dCPj+wnffa9sZkNJHQtg3LVq8mMDQUo91GYGgoy35bxZhhN2EymzAYDXyetNOp9lgysimZOo/Q69oSd1f/fxR7OKLYqSEUTIXt38jWvYXcs0i+vL/zaRACMLBnP1Q6XXUxyPn4J3bBp0UCRds2cuzXT/Fu2oKwiE74R7e6qr5skmjHVF6AoSiLElM6xrQzWEuK8GraHJ+WbQgZcAO6YPfzPnz93XQSigqAKvE38P9eIj/YteXmFccO4te+s0vXdBSObL7sCK4kSK3GCk5um4c2IJAmdz10yXSD84umHIFoNpO+bAaasGCXev4smTkUfz2Xls8OI6BjnEvWdCRRo7qi9tS6nafNrZAkvnx+Ed0OVUVxzjQN4Z6v78LmJnNjVToNotnm8nWTS4uYnnmSpatX4u3lfUETaICwiAiWrfkNg9HA9MyTTm0C7ZX6J9lf/k7zR64n9NpLDxFwRLFTfS+YMmaV8PuHhxk3tS8ePu7RKcI9rqI6cn4RyKVQe/sQPmQEoQNvoOL4YQpOHCRt1zLUXt7owiPRBgSh9vHFq1ILggpJtGH0tmDXV2KrKMNaUoy1tAiNfyCekTF4xsThf/NteEY3ceqINkfQtKTqwpeAu8c/4HLxJ0kSlSeO0nrwAy5dt6Hyb4LUUJxD8pY5+HfsRsigoZcVYle6Xq4Gu8lExo8z0ESFuTTnz5pXSPGXs2j28GCCe7VwyZqOxh09be6Gyi7R7mQuAHs7xfHER3e4ZLxbTVF76xBNVlnWXp+RQlpFCU926culdvVUycznSTudJv4kUUTatIKz64/R7r3b8W11eQ+8Iz7r9fl6ES02cj5aSv8H2xDZNlBuc6ppEAKwpqg8PAno0pOALj2RRBFLUQGWwnxsZSXYDXr02gqQJASdGkHjgWdULJqEdmiDgtEGh8pWvFEXbv6/l/nzg1f4/Nph7Epw3oi3y2HOzULQaPAMcH2LhsZEafpRzu5YSviNo/Dv6JpcS7vRQPqS6eiaxhA0YZTLxJ+tsISiz6fTZHLfy3ocFBoGokbF4x/dwahVh/jgmWFym/MPND4e2PRmJFF02ef/fJJLi3h00wqiffzoHBZNkIcXJWYjBwuynZrzJxqM6L//DrveTMevJqEL8nHaWg0B+6Jf8I/0otudzeU25QIalQA8H0GlwiMsAo+whidMrj12kN6pKbx/020A9HnxXdls0Z9KwrdVW7fId2iISJJEWsZGSndvJ2b8fXjFNnXJujZ9ZdWEj9bNCbzjZtc1eS4tp/iLaUSP6U7EsE5XfoFCvSM6u4TPXl7K0+/eTnZMEEltoklqEy23WZdEUKvQ+HoiVhpQ+7u4p+t5ZOsrXNbk2ZKVS+n0eQR2b0b8g9e6fbN1uSnemUL2hmzuW3yd230PNogqYIW/aZdxlm+Wfstde/4k6c2nScjOlNUe/emThPq3kdWGhordaubUnu+pPHGUuAeecJ34qygn/Yev8erQ2rXir6KS4i+nET40kejR3V2ypoJraXc8iwX3z6ZJdilfvrBYbnNqhC7UF3tJmdxmuATPlG0UfjqN2PHX0PzR6xXxdwUsRRVkfLGKUe91xyvA/SKIigBsQMTm5bFs9lfV1dBHomI5FS1fHybRYsaUk4lvhGvHM12K+t7P72JM5YUc+/0rBI2WJnc/6rJRgtbSYtK++wrvXp0JHOO6Obv2SgOlX00npE8CseOuccmaCq6lz44Upj/5A1qbiCgIfPaoa2ZH1xXPyEBs+c7Js7NX6ClfswV7hd4px68pks2G9dclpM3bSvsPxiqTPWqAZBcp+Gwp3e5oTpOuoVd+gQw02hBwQ0NltbJu6ofV4u90SBhjH3xaVpuMGWl4REbLOo3lHDVpn1JfKM1I4uyORYQMuIHAnv1cJsIshfmkL5iG35D++N/QzyVrQlW+Udk30/HvHEeTu123roLrGLnyIM9/+TsCYFWruHvqXaTGu7ZgrbZ4NQlGZUgFOjr82PrteylduhoA/xsHOvz4NcFWWEL53Plog3zo9L/JaPw8ZbGjvqFbtRpJgj73u+/0K0UANgAEu52j775QLf5KPb246fGXZLUJwJhxFu84+b1/4H79/GqDJIqkpq6jbP8uou+4x6XvrSkni8xFMwgYPRTf/q57D0WjmbKpM/BtHUX8FPl6ZxnSiwg/vVeWtRs6D87ewqTFuxAAo4eWCbPuJe+8JsLujk+LcAo3n8DXCfrMp2/3C/52NYYDxyj7/keib+9J9Jge/+jvp3BpKo5ncXrBae5ddC0qtfu+Z4oAbABM3r6pWvyZVWp6y1j0cT6mrAwiY91DcLlbP7+rxWqqJHnXD0h2O02nPIXGz3XjzgzpZ8laOofgibfg3d3xXo7LIZrMlE+bgXd8GM0euV428WfKK+PMqwto8lg7WdZv6KTHBgOQH+LLXVPvpjzQ/eYP/xu+baI5O3UjPpLk8M+o2s9HFs+fZLVi/W05FTtTaPPmaPzaxbjchvqKrdJE+kc/Mfz1zvhHuPdMckUANgDmD7ieCft2EF1eSqdXP5TbnGpMOZl4dxottxn1noq8M5ze9gP+HbsSeu0wl/aerDx1nJxfFxJy/514dUhw2bqi2UL5jJl4xgTR/P+GyOZ5sJToSX3le3pObkniiDh+fXWfLHY0NDxMVmwaFXaNmt+GJqKxi6wemohdXf/S0j0i/FHp1Fiz89DF1P9pNJbMHMrn/YBXk2A6fXO3EvK9CiRJomLaMlr2jyThWvesXD8fRQDWYzZ/8gbP33IHu1u2Y8hTr8ltzgXYDXokqwWdA0fvNTYkSSQtfRMlu7YSOeoOfBNc64EqzNxFycpVhD1+Fx4tXFNhDFXir2LGTDzC/Gnx5FDZxJ+t0kTG69/TbngTek5oKYsNDRHfciM/TJlDSrMwXnrjFiyeOn4dXn9b+giCQFDPFuhS90HMTXKbU2skUUS1Zy2Fi3fR9P5BhA/p4HZtS9ydoD/Xk3K2gnveqR9z7+vf7ZYCADvef5nIygrmfz+LxNTTcpvzD8yF+ehCw5UNpJZYDOUkbZmBPuUETac85XLxl3diI6XL1xD+7AOuF38zZ6EL8aXlM8MQZPII2Y0Wst/6niZdQ+j/kNLGyFGEFpTzy/iphBbr6bUvlZZnCuQ2ySGEDGhN4eYkJEmS25RaYc0rpOyLryn5M4WOX04iYmiisndfJYa0QjZ9eYxbPuyBxqN+tMdRPID1CEmSsFeUs3rWlwSZTdWPH3NR/7erwVpciDbYPUvf3Z3SjOOc3bmEwG7XEDLgBpeGfCVRJGf3rxgPHSfixYfRhLjOg1st/oJ9aPnscNnEn2ixUfDhAoKa+HDD8x2VL0IHcc3OFD74z89o7CIS8O7TwzjeQHLL/BObYDdYsJzNwKN5/ZlLLYki6j2/U7BoJ7HjehN1SzfZrrv6jN1sJeujH7n2/9oT1sJ1+dl1RRGAbo65II/S/COYjidjPpNBktHEuUwsCWjXqyN2UXQ7V66tvNRlvekaCnabhbMnVlJ56jjRt9+Fd1PXjg2SbDYyNyzClldIxIsPo/Z13Xinc2FfXYivrOJPsouU/HcRGk81N73ZVal6dBC3/bSPJ6duQABsahUvvjmaHfV0hvOlEFQCUbd0o3zLOjya3ye3OTXCkppJxeKlqL20JH4xEa8YJV2ntli+/ZnQ5n50Gu1+zph/QxGAboi1rJSi9N0Ydh5E1Bvw6twO30HXsMpipXVyKlAl/kY8Npn03YcQf51H3K0PuJWnwlZZgR8hcptRb9AXZnB6xwI8ImOIf+hZ1F6urR4TzSYyVsxF0GgIf/YBVB6u61ovmi2UT5+BR5i/rGFfSZSonLoEi8HG7V/2RqVxt9uq+kmHY5k8NXUDAAYvLeNm309hqJ/MVjmeiGEdyV66G+3ZDDyaNZHbnMsi6g3Y1q+g6I+TxN03UMn1qyNFW0+StyOfexfJ16aqtigC0E2QRBF9chJFx7ZjSUnDq3siQRNvwaNlUwSViuZpuVx7nvi74+n7ONI+gZDENuT+53MMZ5LxaeG6Ks0rYTca0AS67yboLoiinbS0DZTu3k74sFvwT+zqchtsFeWkL5mBR/NYgibc4tKQs2g0Uz59Bp7RQVUFH3KJP0nCPPdHSjL03PlNHzS6+pHDUx842i6G9JhAvA1Wxs6fgtlTK7dJTkHtpSPunv7kLF6K7rknXHod1QTJbkd7ZBMZ320nuF8CnWfdh9bfvduUuDumnFIy/vcbY//XB0+/+ve5VgSgzNiNBgrP/EnFph2o/XzwHdSb0Icm/MMDU+bjwbKenRiz+xBP3TOGXe2rxJ6gUePTtzulmYfcSgBKVgsqjfvNPnQnjCU5pOxahNrbh6YPPS1LyNycn0vG4pn4DuiJ/02uvYMVjSbKvpmBV9MQWjwhX7WvJElIC38m52gJ46b3Q+etbIt1xa/cQPcD6Wwa2AYEgfu/nITJU4td27Df27AbOlC4+QTiphWor3ePFliSJGE8cAz9ilXoQnxp9/5YfFqEy21WvUe02sn5aCl97mtNdIf6GT5v2FejG2MpzKfg6Gb0uw/h1bENoQ9NuGTYYPSWXUSXlvP1qBt45sHxvDxuJGZ/3wueo2sag/FgkqtMrxGSKCKo/unNsZoqKUreQ0irHmg9fS/xyoaPKNpJT99Eya4/CB08nICuvWUJHejPJJP983cEjb0Jn2tc63kU9QZKv56Bb0IkzR69XtZcO83Pv3Jiex4TZvWrl3fx7kZEbinfPjQPb6OFKeF+JLWNQe9Xvz1N1jID+WuPED40EW3A5RtVC4JAy+eGc/jx72gaF4I5YYALrbwQSZIwHT6BYc0aJJtI/IPXEtijeb0LU7or4sKf8Q31oMfE+pvLqghAFyJJEsa00xQe2IT5TDq+A3sR/fbTqAMvXTXU5WQK//12OQCbOiRwvEXTf4g/AHWAH/bKSqfafrUIgnDJlggNaSZvbdAXZnBm9xI0fv40nfI02kB57hwL0ndS+vNqQh8cj2cb125g9go9pf+bhn9iE+Ifuk7WLyTP31Zx8LdMJs7pj3eg/DOr6zuJRzP533ML0dglJKB5ahFJbet/pW/+2iOkzdoCQMzYXv/6XF2QD23fHsPxF5cQPwWXi0DJZsew7wimDRuQRInYCdcQ0q+1UtDkQIr/TCZnY069zPs7H0UAugDJbqfi+GGK9m5ENJnxG9KfkIcmoNJd3tvQNDOXnz6aWT3ibeIfu3n5cv3Y1Gqwi443vA4IWh2izfKPxxvCTN7aYLeaST39O+WH9xJ2wwj8O3WXZeOQRJHcfasx7D5IxHNT0EZHuHR9e1kFxV9MI7h3C+LuHSDr5umzYQ17lqYycU5/fEOUaQd15Y4f9/D4jKqxlDaVwDPv3sbebu4xC7yuhA9NvODvK+HTLIx2H4wl6bVlhA0uQnXtSKfnBNrLKlAf2ULeyoN4RgbQZHI/gnq1UISfgzHllJL+5Wpu/6I3XgH1O81JEYBOxG4yUXj2TyrWbUMTEoT/yOvx6tjmkqHR84nMK2LLG/+tFn8nosN5+Z7bL/t8yWpD0LhXwrHayxub2fCPx+v7TN7aUJpxnNQ9y/GKa0b8I8+j8ZEn9C1aLWT9vgBbcSkRLz+K+hLeZGdiKy6l+PNphA1uT5OJfVy69sUEbP2d7d8mM3F2f7ef11kfeHT6JsYv2wNApbeOhz8bz5nmDSfPTBvgfUXP38X4NAuj41eTSPl4NdY9n+N7+xg8WsY71C7RbMF0+AT2Q7soP5JBSL8E2vznVnxbuvbGrrEgWmxkf7iEPvclENMxWG5z6owiAJ2AtayEguNb0G/bi2e7loQ+MrHGbQH8yivY+fJH1eKv0NeboW89/a+vEY1GBG/3+hLT+AdQaSyjMW9D5opizh75BXNBHpEj75C1SMdWUU7G8tlowkOIeG4Kgta1uW7W/CKKP59O1KiuRN8mr/c3eNd6tkw/wYTZ/QmMcV2vw4aKT6WJsT/vBaAgxJfb503B6qF8tcBf4eB3b6Nww3HSZn2PV5MQtH0G4JXYGkFTu/fIVliM6XgKJB+m7GAavq2jCBvcjoQXbkLtraQxOBPLtz8REOVNjwn1N+/vfJSr1IEYM9MoPLwZ07FkfPp0JfL1x9GEXt1dwsGn3qkWfwV+PnT//PUrvkYsq0Dt514FFbrgUMoP75fbDFkQbVbSMjdTsvMPgnsPJOr2yahqudk7AlNOFplLZ+Pbvwf+Iwa7POxqycql+MuZxI7vQ+TNnV269sWE7dvIhi+PM35mP4Lj3Ouaqa/ofT35+P+G0G9HCi+/fguim0Uj5EYQBMKub0/IwDYUbkoib81GSucvwb9THGJ0K3RNolCHBKH290Xw0IEgIFltiHojYlk5tsJivAxp6E/nU3kiB8kuEtA5jsC+rWjx1NB/LUpRcByhezawbWc+dy+o33l/56MIwDpSnd93YAv28gr8rutD8KTRqGrpkfvmxoE8vmYLJq2mRuIPwFZShjoooFbrOQuPiGhMub/KbYZLkSSJkrTDZBxYiUdULPEPPo02UN4wQcXxw+SuXkrQxFH49Ojk8vXNqZkU/28O8VMGETa4vcvXP5/wg5tY9+kRxk/vR2izhteI2JVEZ5dw28/7mXFPf8weWlYO68TKYa7/fNUnVFo14UM6ED6kA5aiSkoPpFF5IhvD+sOYc8uxlhkQzVaQQNCq0fh6og3ywTPCH3uTYEL6JdD0vgF4Rgc1GAFSX9CfLeDAJ0eYMKNhdQpQBGAtsVWUU3h6O5Wbd6GJCMV/2EC8Ore7Yn7fZTGbwcODT28fzr4WcWzu2qHGL7UXluCldq+pG9qQMCSrBXNlCR6+9bNH0tWgL0gn9fAKRLOJyFF34N2slaz2SKJI3qG1VG7dTfhT96KLj3W5DaaTZyie/h0tnxpKcB9534/II5tZ++Fhxk3rS1jL+jOr0x0Zuv4or3zyG2pRYtj6Y4xY/Cg2leL1uxp0Ib6EX9+e8OvlvSlSuDK2ShPp7y7hhmcTCU9wL0dLXVEE4FVwro1L0bFtGI8l4909kbAn70XXJKpOxz354EtobSImrZb237x1VeIPwFZQjLaNvF+wFyMIAt7NEyjPPEFYm2vkNsdpmMoLSTu5BmPaaUIG3UhAl561vwlwEKLZTObvP2AvKSfylccu22bImRgPJVEyfwmtXx5BQBd552MWbTvFoa8Pcec3fRrcBu5q7vrhT6bM3waAWafmxTdHY9Mq4k+hYSKJEsWfL6FF3wg63BwntzkORxGANcBWWUFR+m4q/9iNoBLwHdib4Mm31jrMez5JD72Cp62qhYuX1YpUC/FgzS9C1ye0zrY4Gr92ncjfvbVBCkCLoZz0M+upOHqQwN79iRw5FpVO/gRsS3ERmctno2saS+jz4xBkmLzgceoPcr7bTNu3x+DXpm43R3WlaHsyGf/7jTu/6UNEm0BZbanXSBL/fWkJPfenAVDm58nt86eg91Xa5yg0XNQ//4qpwsrgZ2rW/qe+oQjAyyDZbOhTTlB8ahempNN4d2lH8N1VZfyOyr849OjreFttVesBrb956+rtFMUqD2CQ+wlAn4R25K1ahrE0D69Ax9cDyzFVxGqsID1tM2UHdhHQpSfxj70gW1uXi9GnnCR7xQ8E3DwY3+uukSVPSL3vd9KW7Kb9h3fgHS/vZ7L4z2QyvlrNHV9fQ2TbQFltqdeIIt89OJfmaUUAHG4Xw2Mf39Hgx7o5i5pOFVGQl+I/k8n6KY17FgxCrZU3quMslCv4PCRRxJiZRknqXgx7DqONCMOnbzdC7h2Lysuxd7rbn32XQJO5al2g9f/exOJx9R4ke1EJan8fVDr3a0ip0mgI6tmPjNMbSOg23uHHd+VUEYuhjIy0LZQd3I1/x240e+R5NP7uEU6UJIn8o+upWL+N0Icm4Nm6uSw2SJt+IX/zCTp8Nh7PSHnfm+I/k0n/skr8RbVr+DmoTkWlosLXEwlYd21b/vPSCLktqtdczVQRBXkwpBWS/sUqbv/yGnxDG66XWxYBKAjCY8DdQCKwUJKku+WwA/4WfaWZBzHsPYzK0wPvnp2JfOVRNGHOKaxY/vaXxJaUV60PdPzsFcxetQsnW3ML0USEOdA6xxLUuz9nvvqAyrg0fMMcmwvmiqkiprICMtI2U3HsEAGduhP/yHNo/QOdtt7VYjeZyPp9AfaSMiJefQxNcKDLbZBEEcvPi6g8mUuHz8ajC5K3t17R9r89f4r4qz3heWXkR1QJ+Sc+uIMe+1P585qWMltV/7naqSIKrsVabiTt7cVc93SHBtHs+d+QywOYDbwDDAVc3sFYNJvQn0mmLPsoxkNJqP188eranrAn7kUXG+n09X/v3I6uqVkA3PD6Y5QH1D5J35pbgDbSfQWgysOT8KGjOLNlMe1vfAK11nF5cs6aKiJJEpV5Z8g6+wfG9LMEdu9Ds8dfcptQ7znM+blkLp+LZ+tmhE6RJ99PslrRf/8t9koT7T++E42PvHmQkUc2c/CrqoIPJexbe+7+bjv3f7ed594ew45eLbB6aBTx5yBqM1VEwTVIdpGCTxbRakAkHUfKW7zmCmQRgJIkLQcQBKE74PT+FKLViikrnfLik5hOnMaSloVHizg8O7bBf/i1aMNd1ELlr1Yv00ZcT3RxGXOvu4azTaLrdEhbfiFeOvceueTXoTP6lBOk7F9MQs+JCIJ75lPYrWaKzx4g9/SfiFYLQb0GEHXrBLco7riYwuw9lCxYQeDtw/Ht110WG0SDkfIZs9AG+9D2ndtQ6eTNKIk4tJm1Hyjiry7oTFb++/JSOh/NBOCRWZvZ0athTD1QULgSlvnLUalVXPfU1XXiqK80uBxA0WbDUpiPOTeLyop0LGczsGbmoI2JwCOhOf7DB+GR0ByVh2tz5r76+ltG7D/GR6MG883IIbx+1xiHHNeWV4iuk3v3khIEgYibbyPz++mkHPqRlh1vk71VyjkkScJQlElOzm7Kjx7AK645YYOH492itdvYeD6izUbO9p8wHTtF+DP3o4ur2w1EbbGVlFH69Uz8Ozah2cODZR84H7Z/E79/cpg7p/YlorV75GbWN3z0JhbdPYvgsqoZ3ofax/Dk+2NltkpBwTX4bV7LyV353PXdIFQa99v7nUG9EICCIEwBpgCofXzRp5xEtJiwGw2Y1GXYS6vG5djyi7AVl6EJC0IXG4UuPhbvbh3Qxce6XPCdz72rNjJi/zEE4PlfNvDNyCEOO3ZVBbB7NYG+FCqtltjx95O1aC4ndsylVfdxaDzkq4AzV5aQU3KQ8sN7kSwW/Dv3IP7hZ9EGuG/OmKWkiKxf5qMODiDytccd0oaoNliz8yj6ahaRI7oQM7an7FMJQnZvYMMXxxg3rR/hrdynyfP5+5Yu3H3suhQ99p7lg//8hKfZhgR8d0cvpt83UG6zFBRcQunesxyafoLJ8wc0qEkfV8LhAlAQhM3A5XaO7ZIk9bvaY0qSNAOYAaDy9JAK929E8NSh8vFG7eeLNiYCr45t0IQFowkPqfWQbWfwyC+/8/yKDQhUFXx8PXSAw44tiSK24tJ6IQChKh8wdsIDFKz7laMrP6Vp99EExrV3mYAwlRWQV3GMiqTDWIsK8W2bSMTwMXjFNXNLb9/5VCRVjXTzv+la/K7vJ5voMp06S8n0b2k65Vq3mGIQ9Oc6Nn2dxPgZfQlt7l4i6/x9yzchUpLZnMuitdh4551f8DTbsKkFPnxyKKuHdpTbLAUFl6A/W0Dqx78w5rNeBDVxrzxvZ+NwpSRJ0iBHH/N8tJFhhD9zvzOXcBjX7jt6gfj7sVdnPh57k8OOby8pQ+3rg8qNBO+VEDQawoeNxqd1BzJ+W052ymZiEq4jIKaNw0WYzWKkMu8shRWn0KecQDSb8W3djtCBQ/Bu1sqtbhQuh2izkbPjZ4yHkgj7v7vxaC5fN3rPs9vJnraehBdvJrBbvGx2nMNvy1q2zj7FhFn9CIlXZvvWFqtWzauvjOSdd1cwefo95EUoIXSFxoGlqJLU/yzm+uc60qSr+/XSdTZytYHR/LW2GlALguAJ2CRJsslhjzNolZrN3G++45yfZnXX9jw7ZZxD17AVl6KWoe2HI/Bp3or4h56l4thBMnf+TuruZfi160iof2t8w+JR666u95LdasZUlo+hOJtScyamjFQsxYV4xTbFu3krosdMwiMy2u09fedjKcwnc8W3aEKDiXrjCdlCvpIkodq9htTl+2j/we34tHB8U++rxfv339i54DQTZvcnKFbetjP1EbXVxm2/HGDp6G6IahV7ejTnxuVPIMmcy6mg4CrsRguZby2g0+imdLipidzmyIJcLpBXgTfO+3ki8B/gTVmscQI6m6X63/viY3nk0ckOX8NeUo46qPZ36zZ9JeUHd+PfuacsLU4EtRr/jt3w79gNc34uFUmHyTy5AdOmTDS+fuhCwtAEBKL29sXLoEMQVEiSiMnHit1swq6vxFZeirW0BLuhEl1IGB4RMXhGxxLQqTueUbH1wst3MZIkUZi+k9Klqwm45QZ8B/WWLeQriSLWlUspP5RO4ucT8HCDXDbtryvZ90saE+f0JyBKmaRwtbRMyeOr5xfhX2lm0uKdTJx5H6WB3vVG/CmTNBTqimQXKfxkIRGtA+j7QGu5zZENudrAvEkDEnuX4ljLeL4d0IMuZzO59bXHnbKGvawcdWDtQ1/lB3dTsK5qkkZw3+scZVat8AiPxCM8EgYOQbLbsRQXYi0qwFpRhmgwYPQ0IYkigkpAELRoA4PxiolD4xeANjAYTUBgvfLuXQ670Uj2piVYM3MJf+4BdLHyzdIVzRb0385DNNvo8N8Jsvf4kyQJ4ccVHN2QzaQ5A/ANa7gd+p3F0HVHefWT1agkEAVYOqobpYH1S0QpkzQU6oIkSRhmLEUS4cZXO8texCYn9c894saEFpaw94UPWNCvOy/fczuv33WbU9cTy/V4irX3APp37nnB387karyNglqNR1gEHmHyhxpdiSHtDNkrfsCrYxsiXnsclU6+ajR7aTmlU2fh3TyMFk8MRaVVy2YLVG3atm+Xk763kImz++MT7H69Gd0aSeLxaRu586d9AJh0Gh787wRSWtW/a8yVkzQUb2PDQ7VsBfmnypgwq3+DnfFbUxQB6CAEm429L3yAAIzftpdvbhxEZpRzJ3SIej1q39pXAGt8fF3m+XMnb6O7Idls5B74jcptewm5awxendrKao8lI4fib+YQObwTMePkCz+fQ7KLGGcupSClnPGz+uHl735zr90ZndnK3EfmE59RDEBhkA93TbubUplH9tUWV07SULyNDQu/zWvZvSaTyfMGovNW5I/yDjgAjclE8qNvVBd8VHronC7+AES9EVWoPIUBV4srvY31CXNBHlkrv0cd4EfUG0+gDpC3mtV4+AQl8xbT/JHBhF4rrxAFEG12yr9ajL7QxLjp/ZRNuxYkHs1E+kvEb+zfmtdfGVlv8v3kRpnb23AIP7CJ9TNPMmneAHxClAgCKALQISQ/+gbnHMkGrYYO37ztknVFswWVR/34ILvS21gfkESR/FObKV+5iYDRQ/Ad2EtWT5skSWj2r6N00U7avDka//YxstlyDtFio+jjBUiixNj/9UHrKW8Yur7hV26kwt+Lfd2acc83d9F79xm29kuQ26x6hTK3t2FQsvcsBz85zPjpfZWuAeehCMC6IIqceeClavFnValoO+1dly0vWawImsbTtbyhYCkpInvNQiS7nYiXH0EbIW//Kclmx/LrEgqPZJD43wl4RgXKag+A3WAm990f8A72YOS73Rt9rs7V8tCszYz/cQ+Tp95NarMwrDqNIv4UGiXlxzJJ/fgXbv+8N+EJjavHZcHpcgqW7Lzs/yu7ah0IqDRUv4E2QaDljPdca4BdRFArXpH6giRJ5J/eStrs/1YVerzwkOziT9QbKJ82HXNuGYmfT3QL8WctN5Lx6rcExfky6v0eivi7CnQmK18//QOTluxGLUq88MVauU1SUJCNyuRczrz1I6Pe605s5/oxMctRmPVW1j23hU7dLp8zreysdaDM35dPb74Og1ZDi1kfgItDeBJuO11K4SKsJcWkLZmKftteIl54CP8bB8retsaaW0DhR1/iHR9K27fHyN7mBcBSVMHZ5+cR1z2UYa91RqVWctVqSlR2Cb/e+TWdj2YBcKh9DE98cIfMVikoyIMhtZDTry9m2GtdaN6n/lW71wVJkjj49ga69PRg5NjLd91QQsC14NjDr7IzoTn3PXUvX40eylejh8pihyCoQBJlWVuhZkiiSEHKVspWrMd/6AD8hvZ3C6+t8dgpSucsJO7u/kQM7yS3OQAYs0o4++oPdB4TT5/7Gm9z1trQa88ZPnp9ORq7iAR8NWUQi29TCq4UGifGzGJSXlnA9c8m0npwtNzmuBz94k3kZtt554t/93oqAvAqOfzo6/harAw+epIXFq/iwzscN9v3ahF0GiSrVbb1Ff4dc0EeOWsXIyER8dLDaCOdXxl+JSRJQrNvHaWLd5Lw6igCOrrHCCT96XxOv76I/g+1octtzeQ2R1Yku4i11ICluBJrmRF7hQm7yYJosYMkIWjUqH106IJ88IwJxt9bx8evLUMtStjUKp57+1Z2d28u92koKMiCKbuElJd+YOCjbWk/3D32N1dydmc+v8+q4NsVEeg8/j2CogjAq2DPE/8hwGSu/nnqsP4yWgOChweixXzlJyq4FMlmI+/IOio2bCdg1F+j3NxgSolktWH+aRFFp3Kr8v0i3SMhuvxIBmfeWcbQlzvTdoj81ceXw2a2O+5YejOmrGKMWSVElZ2mJFNPaZaesmwDlQUmPP11+IZ54h2kw9Nfh5e3BrWHCgEBu03EXGmlvMDE2dRKAOY39eHGYjuPfjWJ/MhAh9mpoFCfMOWUkvLS9/R9oDWdRsfLbY7LKc3U8/urO3jvqxAio68s7xQBWEO2Pfse4ZUGACSg9f/exOwlbw8+lY8XdqNBVhsULsSQdoacNUvQhocQ+cYTaIID5TYJqJrsUTZrLroQXxI/n4Dayz2aKRfvSCH985WMer8Hza4Jl9ucSyJJEoVzN5Kdaav1MaylBowzl1J0toKi1AoslTaC4nwIbuqLtYkvTbqEkHhzHAEx3vhHeF2x8CU4rYKBc5NZPqc/ZdkGFm/N46VlZ1G9v4TwR0fgmyDfCEEFBTkw5ZRy+qXvuebeBLre3viiCBaDjfXPbeLuR/zpfk3NxmQqArAGrHn1U5qUlAFV4q/fO8/ILv4A1AF+mFSlcpuhANgNenJ2rMB09CRBd47Aq1ui7BM0zmE+k07J9G+JGN6J2PHXILhJE+Dgnes59OUxxv6vD9EdguQ255JIkkT+rI1sXmdk2oIwVi2r3Q2XxmYmtLkfbQZHExzvi3+EV61/D70WnebmDw+jEqEs3JONj7Sj+53N6XZHM46tzmT9a4sZ/EwiRT0H1+r4Cgr1jaqwb5X46za28aU/SJLEoXfX06qtlnH3/Puo1fNRBOCVkCTa5ORX/RPo/9ZTZEa5h6dCExyI+Uy63GY0aiRRpDB9B6XL1+LdoxNRbz+Dyqtmd1+uQHt0E9lz/qDl0zcSfE1Luc0BqjYrz9Wr2br0LBPn9CckXt7pJ5dDkiRyZmxg20YT0xeGERRS++Id/yhveoxvUWebxj+1k/YbcwAwe6k53fPvvFJBEOhwUxMi2wawYMp2Yh9r6ja/cwUFZ2HMLOb0yz/Q5/7WjdLzB1D+wyayM+3MXBx+VY4HRQBeCUHg6btu5bP5yxn93BQyYiLltqgaTXgI+p0H5Daj0WLKziBn/TJAIvzJe9E1dZ/8Nclmw/LrUgoOptPh03F4x7lHDyxJlLB9v5yjOwuYPG8AfhHye9IvhSRJZHy9gT3bTUxbGEZQsLyV27pKK/c9sI3Y46UAZLYLZNas/lh9/rmFhzb359ZPe/Ljk6vwbXM/uno681dB4UoYUgtJeWUBAx9t2yhz/gBObc7hj+8qmf9LOB6eVxdVUATgZZj7yUx8zBbGvvIoywf0YvkA9xsHpI0Kx5qdhyRJbhNubAzY9JXk7V6F4cAxAm8dik/f7m5R5HEOW0kZFXPmoQ3wJvGrSW7R3w9AtFbN9S3PMzJxbn+8/N0jD/FiJEki9cv1HNxjZurCMAIC5RV/kSdKefCuP9CZqopQjg+K5IcvrvnX18R2CqHD8FisP66GB253hZkKCi6lMjmX028sZvDTiXS4qfFV+wLkJ5ex4a3dfD4nlPDIq5dz7vOt5Ua88f1yrktKoeeZdN6bt1Rucy6LKsAPVCpsZSVym9IokOx28k9t5uy0D0GjJvqdZ/Dt39OtxJ/p5BkK3vuCoJ4taP3GaLcRfza9mdy3vsVmtjNuWl/3FX+iRPIn6zi838LUH8JlF38ApVHeCKKEXSXw8yudrij+ztHn/tYkrcnEUqJ3soUKCq6l/FgmKa8uYuhLnRqt+NMXm1n95BaeeT2QDp1rt88rHsCLeO37n7hn067qnw/Gx8pozb8jCAIezeMwZqSiDQyW25wGTWVyEnkbf0ET5E/4s1PQxbpPKgBUea3Uu9dSsmQXLZ+/iaDu7pMLYymqJOPNH4juGMzQlzq57XQP0S6R9OE6Uk9b+eb7MHz95BP2gijhXWxCH+qFKUDH3Kl9KIv0ojS25gne3kEeJFwXhf/OzZiGydevVEHBkZTuPcvZj39h1Lvdad63cU34OIfNYmfzc+sZdosPw26pfYqHIgDP4/Gf1nDfpp0IVBV8zBrchyWDana3LRcebVpQnnUSf7rKbUqDxJyXTe4fv2ArLCFw7E14dWrrduF20WjCuHgBptxSEr+c5Db9/QAM6UWcfX0hnUY3pe8Drd3uvTuHaBM58u46crPt/O/bMLx95BN/gZl6ptz7Bzq9nfc3DsPuoSate+2aiLe/qQmbvzhGs2EONlJBQQbCD27i4CeHue2/vWnSxT3yml2NJEkce389oWFqHnrGv07HUgTgX4xbv51nVm6qFn9Th/TnwztultusK+KV2JqKNVuQrhXdKhRZ37GWlZK3ezXGIycIuPk6fAf2RtDIHw68GEtmLqUz5xHQMY7EFyag0rnPJV1+LJOz7yzj2ifa03FUU7nNuSx2q8j+N3+nolzii3mheHnJdx11W3aWUe8eQm2vmvTdZksOx4bUPgrRtFsoJRl6Yooq0YXU3HuooOBu+G1ey/qZJxk3rS8Rrd3nJtfVlH63kbMpVmYsCUdVx5Ze7vNtITPvLVxRLf5+7NW5Xog/AG1kGIKXJ6bMNLzi3CfsV1+xG/TkHV6PfusefAf2JPrdZ1F5u2elqu7EFrJnbCJ+yrWE39BBbnMuIPLIZg6+c5CRbh6msVns7Hr5d0QRPpsZetVVdI7kxk+P0O/bFATA4qnm+y96cbp33d47lUZF0x5hlB1II+z69o4xVEHBhUiShGrZCnavyWTSvAEExTbeqnbfP/5gziI9836KcMiNqiIA/2LCE/ew4Iu5rO3UhmenjJPbnKvC55ouFJ/eRYwiAGuNaDaTf2IzFeu24dW1PZH/eRJNkHveZYoWK5YVSyg4kkn7j+7Ep5n8M4bPIUkSPuvX8Pu8ZO6c2pfItoFym3RZrEYbW59fh4+vwLtfhKDVySP+tEYb90zZRtPDVcVc5SEe/HfFDVh8tQ45flz3UPJPHQVFACrUMyS7iGHGUvJOljF53kB8QtyjqE0OMg4UsfLNEqb+EEZYhGOiUY1aAPY6doqnf1nPHS8/wp8d2xA/+0O5TaoVPn26k/v6Z9h7j0LtBhNK6hOixUJBylbK12zBs00LIl56GG2k+wiqi7HmFlA2ez7ecSF0/N8k1N7usyFKdhHb9z9xcEc+d307kIBob7lNuixmvZXNT68jIkrNG58Eo9HI5/kbNPNktfg70y2EedP6Ytc5Lt0grmsI+5ecobXDjqig4HzsRguFHy9EkmDi7P7ovBuvXClOq2T1c9t467/BtGrruA4KjfYdbXs2jcWfzQbgg9mLefG+O2S2qPZogvzx7NiGguQ/iOw4VG5z6gWixULB6W1UrNmCrkVTwp+5H12se89P9UjeSvbUDcTd1Z+Imzq5VUGF3WSl5L+LMFVYmTx/AJ5u2uYFwFhuYd3/rSOhrZaX3g2qcx5NXVn3eDtabc/jwIg4dkx0/OSOsJb+VOSZsFWY0Pi5z5QaBYXLYSmqIOM/C4hsG8iNr3S+4mzshoy+2MzKxzfx8DMB9BnoWAdPgxWAotGENSsXa04B3pYsLMWV2A0WkCBesvHbttOc2/bbZuXJaqsjCLjpWvI+mk5Yq/6ovdzX8yI3dpOJwuStlK/bikfLeMKevBddXLTcZv0rotmCZcUS8o9k0v6Dsfi0cK+cOkuJnuy3FxAc78voj3u69WatLzLz22Pr6HGNB0+9FiiPiJYkbn19PzvGtyCnTQAIAt8svs5py6k0KiLbBVJxMset2gMpKFwK/Zl8zv5nMV3GNKPP/QludaPraqxGGxueXs+Qm70YPc7xRVwNQgBKoog1MxdzSirqnGQqT+ZgKazEq2lI1QisyAB8W0eh8fEgqqSSTVM3VYu/M2qBG8eNxH0CabVDGx2BV5f25O79jZj+Y+Q2R3Zs+krKD+7Gv3NPND6+2PSVFCRtpnLzLjzbtyL8mQfcrpffpbBk5lI251t8WkTQ6evJbhXyBTCkFXL2jUUkjoij/8Nt3HqzLs8z8uvD6xlyszcPPuUvi61+eUYevPsPgrINdFmZzq8vdmT3HXWfEXwlojsEoc04il0RgG6NtcxA/tojhA9NRBvQ+G7kS3afJu3TX7nhhU60H+a+PXhdgWgT2f3aOpo20/DIc87JR6+XAlASRSzp2XjmHqH8cAblxzLRBnrj3z4Wv05xxNzRC++4EAT1hZ6I8Mwilt/7a7X4yw31ZfjDgyn+aj7N/28Ixqbu3fPvSgTeeiM5r3+GMb4bXk3i5TZHVsoP7qZg3UpsBj1WrRHD7kN490gk4uVH0EaEym3eFZEkCe3hjWTP30r8A4MIH5Iot0n/oPRAGqkf/szgpzuQOCJObnP+lZKMSn55aCO3T/Zl8oN1651VWzqvSOPWNw9Ut3jZP7Ipu8c2d8na0YlBHPo5jYjRLllOoZbkrz1C2qwtAMSMdb/xo85CkiR8Nqzh0JxT3PZ5b2I7N84ef+eQJInkz9ZjMkp8+E2w025WBUmSnHJgZ6Hx9ZQQQBfiS0DHOPw7NcE/sUmNBp5vvvEjtGLVvwuCvLll8WNA1UzB4y8vJfylx9GE1e8PnmHvEUp/XE38vc802oIQSZKoPHGU/K2rsJdV4jeoN36D+6AO8JPbtBphrzRgXLoQc04pCS+PwKuJ+30mA7evY/NXxxn9UQ+a9nDfohmA/ORyVjy2mfv/z58xE+oWRunWNGOfJEndr/Z1Hfy00pFKGwJg9VCx4JNenBrgOg90Rb6RWbdtoPOSJ93aS9vYaYweQNFqxzT7R7KOlHD7F70JjGm8bV7OUTR/A5vXGpmxONwhE4kut2/VOw+gxs+TxC8m1kjwXcy9X07i28e+o8zXs1r8Afi2iiTqlm4Y1/6KZuLdDrTW9Xh3T8R08gyZq78j7pb7ENTu17zYWYgWM0WZe6jY+CeS3Y7f4L749OmGysN9CxIuxnTyDKVzFxDSL4GEF292q8bOUDUrV1r0Mzs2ZjNpbn9C4t1bVGcfLeHXJ//gqVcD6zQyqa54/iX+clv6MWPuAMwuLpLxC/dC56PFmFFclRaj4JZoA7wblefPUqIn78NFeAXomDx/AB4+jml9VJ8RVm9m5Y965iyLcPo4Svf6dqkBGj/PWok/gDMJUQxZ/BiGoH/eWUXd0o19E6fhMaoStV/97pgfdMfNFHw5l6yNi4kZfGeDnxBizs+l8MQ2DLsO4tEqnsCxN+HZrlW98nRINjvi5hWUrD1Cy6eHEdTTNaHBq8FutFDyxWKMpRbu+m4g3oHulY94Mam7C/jtxT95/aNgBlwvvzd86+SWrHlGvlB+bOcQKo5lKgJQwS2oPJVL6rtLSbw5jgGPtEWQuRrfHTi5IZst/y1j1tJwQsOd77ypdyFgQRAKgDS57XAAoUCh3Ea4AOU8GxaN/TybSpJ01TFvZd+qdyjn2bBo7Od5yX2r3gnAhoIgCHtrk0tU31DOs2GhnGfjprG8L8p5NiyU87w0DTs2qKCgoKCgoKCg8A8UAaigoKCgoKCg0MhQBKB8zJDbABehnGfDQjnPxk1jeV+U82xYKOd5CZQcQAUFBQUFBQWFRobiAVRQUFBQUFBQaGQoAlBBQUFBQUFBoZGhCEAFBQUFBQUFhUaGIgBlRBAED0EQZguCkCYIQoUgCAcFQRgmt13OQBCExwRB2CsIglkQhHly2+MoBEEIFgThJ0EQ9H/9HsfLbZMzaKi/v/NpTNdjXWhM71ND/dwr+1bDoS7XY70bBdfA0AAZwEAgHRgOLBEEIVGSpFQ5DXMC2cA7wFBA/rlcjuNrwAJEAJ2BVYIgHJIk6ZisVjmehvr7O5/GdD3Whcb0PjXUz72ybzUcan09KlXAboYgCIeB/0iStExuW5yBIAjvALGSJN0tty11RRAEH6AE6CBJ0qm/HvsOyJIk6UVZjXMSDen3VxMa+vXoKBr6+9SQPvfKvtXwqen1qISA3QhBECKABKCh3YU1VBIA27lN9C8OAe1lskfBgSjXY81Q3qd6h7JvNWCu5npUBKCbIAiCFvgBmC9J0gm57VGoEb5A+UWPlQF+Mtii4ECU67FmKO9TvUTZtxooV3s9KgLQiQiCsFkQBOkyf7ad9zwV8B1VORmPyWZwLanpeTZAKgH/ix7zBypksEXBQdT367GuKPuWsm8p1D9qcz0qRSBORJKkQVd6jiAIAjCbqmTc4ZIkWZ1tl6OpyXk2UE4BGkEQWkmSlPzXY51QQmH1loZwPdYVZd9q8Cj7VgOjttej4gGUn6lAW2CEJElGuY1xFoIgaARB8ATUgFoQBE9BEOr1DYgkSXpgOfCWIAg+giD0BUZRdRfWoGiIv7/L0CiuRwfQKN6nhvi5V/at+v37uwy1ux4lSVL+yPQHaApIgIkqt/y5PxPkts0J5/rmX+d6/p835bbLAecVDPwM6KkqwR8vt03K76/W59horkflfarxuTbIz72yb8lvmwPPsdbXo9IGRkFBQUFBQUGhkaGEgBUUFBQUFBQUGhmKAFRQUFBQUFBQaGQoAlBBQUFBQUFBoZGhCEAFBQUFBQUFhUaGIgAVFBQUFBQUFBoZigBUUFBQUFBQUGhkKAJQQUFBQUFBQaGRoQhABQUFBQUFBYVGhiIAFRokgiDcJgiCWRCEpuc99oUgCKcFQYiQ0zYFBQWFS6HsWwquRJkEotAg+Ws49h7ggCRJDwiC8CzwPNBX+nsAuoKCgoLboOxbCq6kIQ5FVlBAkiRJEISXgVWCIJwGXgYGn9tEBUH4CRgEbJAk6Tb5LFVQUFCoQtm3FFyJ4gFUaNAIgvAn0BMYIUnSb+c9PgjwA+5SNlIFBQV3Qtm3FFyBkgOo0GARBOE6oBMgAHnn/58kSZuBChnMUlBQULgsyr6l4CoUAajQIBEEoRPwE/A48DPwvqwGKSgoKFwBZd9ScCVKDqBCg+OvCrrfgE8lSZojCMJu4LAgCIP+uoNWUFBQcCuUfUvB1SgeQIUGhSAIwcAa4FdJkt4CkCTpKLAU5W5aQUHBDVH2LQU5UDyACg0KSZKKgbaXePwOGcxRUFBQuCLKvqUgB0oVsEKjRBCE9VQlWvsAxcDtkiTtkNcqBQUFhcuj7FsKjkQRgAoKCgoKCgoKjQwlB1BBQUFBQUFBoZGhCEAFBQUFBQUFhUaGIgAVFBQUFBQUFBoZigBUUFBQUFBQUGhkKAJQQUFBQUFBQaGRoQhABQUFBQUFBYVGhiIAFRQUFBQUFBQaGYoAVFBQUFBQUFBoZPw/Vq3QEH4Z/v0AAAAASUVORK5CYII=\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": 181, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:38.616787Z", "iopub.status.busy": "2021-10-24T06:27:38.616176Z", "iopub.status.idle": "2021-10-24T06:27:38.620793Z", "shell.execute_reply": "2021-10-24T06:27:38.620231Z" }, "id": "RVCwOr5fDRoa" }, "outputs": [], "source": [ "X_moons, y_moons = make_moons(n_samples=1000, noise=0.05, random_state=42)" ] }, { "cell_type": "code", "execution_count": 182, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:38.625495Z", "iopub.status.busy": "2021-10-24T06:27:38.624850Z", "iopub.status.idle": "2021-10-24T06:27:41.469427Z", "shell.execute_reply": "2021-10-24T06:27:41.468826Z" }, "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": 183, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:41.493058Z", "iopub.status.busy": "2021-10-24T06:27:41.492371Z", "iopub.status.idle": "2021-10-24T06:27:44.691765Z", "shell.execute_reply": "2021-10-24T06:27:44.692201Z" }, "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": 184, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:44.696425Z", "iopub.status.busy": "2021-10-24T06:27:44.694897Z", "iopub.status.idle": "2021-10-24T06:27:44.698934Z", "shell.execute_reply": "2021-10-24T06:27:44.698317Z" }, "id": "qvtG1K6zDRoa" }, "outputs": [], "source": [ "from scipy.stats import norm" ] }, { "cell_type": "code", "execution_count": 185, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:44.704283Z", "iopub.status.busy": "2021-10-24T06:27:44.703704Z", "iopub.status.idle": "2021-10-24T06:27:44.708111Z", "shell.execute_reply": "2021-10-24T06:27:44.707565Z" }, "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": 186, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:44.736390Z", "iopub.status.busy": "2021-10-24T06:27:44.734753Z", "iopub.status.idle": "2021-10-24T06:27:45.838605Z", "shell.execute_reply": "2021-10-24T06:27:45.838033Z" }, "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", 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" ] }, "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": 187, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:45.843563Z", "iopub.status.busy": "2021-10-24T06:27:45.841577Z", "iopub.status.idle": "2021-10-24T06:27:57.242607Z", "shell.execute_reply": "2021-10-24T06:27:57.241923Z" }, "id": "ppcrzVPtDRob" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "downloading Olivetti faces from https://ndownloader.figshare.com/files/5976027 to /home/haesun/scikit_learn_data\n" ] } ], "source": [ "from sklearn.datasets import fetch_olivetti_faces\n", "\n", "olivetti = fetch_olivetti_faces()" ] }, { "cell_type": "code", "execution_count": 188, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:57.247421Z", "iopub.status.busy": "2021-10-24T06:27:57.246767Z", "iopub.status.idle": "2021-10-24T06:27:57.249152Z", "shell.execute_reply": "2021-10-24T06:27:57.249560Z" }, "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": 189, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:57.254839Z", "iopub.status.busy": "2021-10-24T06:27:57.254268Z", "iopub.status.idle": "2021-10-24T06:27:57.258527Z", "shell.execute_reply": "2021-10-24T06:27:57.258958Z" }, "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": 190, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:57.266072Z", "iopub.status.busy": "2021-10-24T06:27:57.264655Z", "iopub.status.idle": "2021-10-24T06:27:57.273887Z", "shell.execute_reply": "2021-10-24T06:27:57.273299Z" }, "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": 191, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:57.278299Z", "iopub.status.busy": "2021-10-24T06:27:57.276329Z", "iopub.status.idle": "2021-10-24T06:27:57.282564Z", "shell.execute_reply": "2021-10-24T06:27:57.281873Z" }, "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": 192, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:57.288656Z", "iopub.status.busy": "2021-10-24T06:27:57.287255Z", "iopub.status.idle": "2021-10-24T06:27:57.506715Z", "shell.execute_reply": "2021-10-24T06:27:57.507580Z" }, "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": 193, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:27:57.511959Z", "iopub.status.busy": "2021-10-24T06:27:57.510987Z", "iopub.status.idle": "2021-10-24T06:28:44.464515Z", "shell.execute_reply": "2021-10-24T06:28:44.465795Z" }, "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": 194, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:44.472224Z", "iopub.status.busy": "2021-10-24T06:28:44.470300Z", "iopub.status.idle": "2021-10-24T06:28:44.816943Z", "shell.execute_reply": "2021-10-24T06:28:44.816353Z" }, "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": 195, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:44.821994Z", "iopub.status.busy": "2021-10-24T06:28:44.821385Z", "iopub.status.idle": "2021-10-24T06:28:44.826537Z", "shell.execute_reply": "2021-10-24T06:28:44.826017Z" }, "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": 196, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:44.862426Z", "iopub.status.busy": "2021-10-24T06:28:44.853505Z", "iopub.status.idle": "2021-10-24T06:28:44.958766Z", "shell.execute_reply": "2021-10-24T06:28:44.959200Z" }, "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": 197, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:44.964317Z", "iopub.status.busy": "2021-10-24T06:28:44.963709Z", "iopub.status.idle": "2021-10-24T06:28:44.966517Z", "shell.execute_reply": "2021-10-24T06:28:44.965729Z" }, "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": 198, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:44.987889Z", "iopub.status.busy": "2021-10-24T06:28:44.979521Z", "iopub.status.idle": "2021-10-24T06:28:55.654095Z", "shell.execute_reply": "2021-10-24T06:28:55.654664Z" }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 2\n" ] }, { "data": { "image/png": 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C3JfP53VwcKBisajPPvtMf/u3f6tcLqcnT56oWCyq2WyG7pRdqVAoJGLM+XyuXq+ny8tLDYdDtdtttVotff3114mYFkgErMd6RlGkRqOhk5OTcE0aLKbTaTBKjPHw8FBPnjzR1dWVLi4uElb56OgoKBS5gLOzM0kKcd6udVY8IEiGkAavv1gsVKvVgkEBihaLRf3sZz/TfD7XV199FQyVdF9fBfV4YozMvKTQnXNycqLPPvtMo9EoZKGPj4/105/+VC9evNDt7W2QETeC1Wo1yMIuhCIBR2ld3Gw2arfbwdsTQpyenur58+eh+uD9A8SWIItmsxnkYD6fq9/vB1Qk3SnccDgMfJCk4+NjtVotffnll3r16lWA/YeHhwG1VCqVRw3S1mywl2+Wy6Vub2/1+eef67PPPlOv19P5+bmePXumTqej1WqlarWq58+f6/T0VFdXV0GAydJ6HZGyC9awUqmE77daLS0WCxUKBZ2engYoul6vdXp6qjiO1Wg01Ov11O12dXx8HNoBvdi8CzEGPB1ecLVaqVar6dmzZzo+PlalUtHl5aXm87mq1ao+/vhjHRwc6Pr6WtJ9Qq5Sqejw8FDHx8cqlUrBgmPdvXSFRX/27FloG8xkMhoOhzo+Ptb5+bnm87m++OKLkJUlhiuXyyFO3oWArF7K8OzkwcGBPv7446CUV1dXOjw81B/+4R/q5z//ucbjsVqtlgaDgSqVSvBgKKjXfz2/UK/X1Wg0tFgsdH5+rvV6rS+//FK9Xk/lclkff/yxnj9/Hrzx1dVVUBTqrLlcbqe2ykajEXIshE+SQsgCyjs8PNTFxYVms5mq1ao+/fRTnZ+fazAY6NWrV4FfrGs+n1etVksguUqlol6vF0JCxkryrdPpBDR2cnKiTz/9NPCt3+9rPB6HfnPQ6tOnT187t0eVlWbnbDYbmo1fvnypy8tLlUolPXv2TKenp8rlcqrX6+r3+yGmWSwWyufzIdlSKpWC9ywWi6pWq4kkDFnFarUaGDqfz8O16/V6yPqWy2XNZjN98sknGg6HiYyidF/H3BUGw1ygqKSwGP75+fl5aHsDFfC99XodShutVivEPtQmMVYYLFAESZbRaKRSqaSzszOt12u1222dnJzo4OAgpPyZP/FhuVxWpVLZOevdbDaDx2ae5A0ajUbgO5BzPp+r2Wzq9PRUo9FI/X5fmUxGzWYzxOaLxSIYDUIPz6q2220NBoMQb49GI9VqNf34xz9Wt9sNBmA0GqlYLOrp06cBUkdRFNALPNxljuRGiH0Hg4Fub29Dwgc5KRaLGo/HqlQqqtVqAW0QulCKAkkcHh7q9PRUR0dHofTSbDZVKpWCIQSBnpychFxAPp/X8fGx8vm8Go2Gnj17pqurqwTEr1QqiuNYJycnr53bo8paLBZDjIqlyuVy+slPfhIWFS/UbrfV6/VCSp6gXlKAz4vFQvV6XQcHB2q32wlhhrn1ej14x2w2G+CZQwQY2Ww2QzzE77xJYVfPitVEMAaDQagJjsfjRAvZ+fn5d0oIrVYr8Ov4+FhHR0cql8vfaXPDi+KFEAxKU3jJJ0+eBLgK7xBe4iXCiGq1ulOWVLrzOjRU1Gq1wCPKI4QZdH8BE+M41s3NTficzDwJGJSV2iVjLRQKajabwSOyU4ox4FWiKAqVA2AhvMOgr1YrNZvNrXMklq5Wq3r69GmoZ5OVZnPGbDZTq9UKiT5JoV7P/MgJEF8fHR2p1WqFagSGuVwuByX1hp3j42M1m83AUxpBSJBKCsnDarWq6XSaCB3S9KiyYkVRWm7itSavF+KByZyuViu12+0QrFcqFR0fH+vJkyc6Pj4OC4xSkRonS4llGw6HwfOQkGJ8QE4vKUj3CaNdCAjeaDTUbrdDJrPf7wdjgdWlqcF3wOAJiFPb7Xaio4l7EG8DP8fjcfDodGhlMhm12+2grF7DJX7kmmTV8ZLbiPISFp2YihwBc/QWO28HJAtcLBbD+vhuJem+Js/YQFDE9AguYQaKyRxrtVqICX3Oo9FI9Xp96xwxaL476uDgQMfHxxoMBiGDSzLI67HwEUWFR41GQ0+ePNHBwUFQYGAraJAcC2EPCIY1BA2BSrgGv8HBfe92w0qlEmBetVpNBNUE4t1uV9fX1yFjTKa0VqsFq+OdL0dHR2q32wFCSsl9oMQ50+lU5XJZtVpN7XY7XN/3iJJOd/gLk96kWYBkBsYiiqIE9KZOSncK5MoEMnC04HVMjIh3I1UqFS2XS9Xr9VCvA8mQOAKCpb0rMBrB2IW84A9a4D3guPfBekMBSMd3q6T7cL0uz/zpcFoul+H/jN3bLcnK0nnkDSooNnx9jJA/5ufdUF4uRMHIwJNX8MYb5LjZbKrZbIZkoneYEY8zZ/TEQyp4zjricPyVrgU/RI8qKxCMhcLjeVobBQVz06pFbNloNAKUAfZ4WxUTY2FoKiB7jMJifRBk4ly8abpl7k3KNr5TiEVlsaiL4XWIyVzwWEAXOAQHi/lQL3G1WlW73Q4lFGqsnoTDG6Ek3IMY1ncpbSMMgQsv6+xCyBwh74FFUdM8975bjCXrV6/XQ+bX47uHcgtcG0PhPcaP1SAhDDpzSzfJo6he74aPntVmvhgyDBx8AhGSUALiei+Bb2uU7g11WlG9DfIx2trBhKJys4duWq/Xg5WnNlqtVoOXIQvHAjr09foVkKdarSZqYHhP/qbmSeLBYSAp+1wut1N7mqRQ1AZ2s0jAqXK5HOAv40RhvPXPLWO6Psfc+b6kRD9tu90O8ZNnaTGKKBn3oLnAW+G2EfVfX0vGCXlDunfXIHTc3198h3F6IwDJKzp7JAXhT/ficn+uRbwp6TvG+HWE/Pm8HKWQmKNE6FlxjPRmswkoxzdN0CDiZZ1sNhvQI7DX75HuB3bUhIJ6Y/9jhndrzAoD0y1tKA7xC1k24hrPenr/rC8qZRKgJ8JZrVZDmQLFgSEON9wCp8f2JkStEZiS7g9GgRFgvLmXF3zRQSBem8ajMGYUAqRCuAEMTHtXVwRqtSj2rjCYVko6pKT77YGsM/dyL844pPutfIzfPa03lXj8VSqVQimOUk86g+0bI7gP7Z3I1y4Igp5ixiYpUXf3PEO6hTHdTZT+F68NP5DNZrOpq6ur0Pder9cDX/0In7T8Uyr0Pd+P0dZ2Q1dSZ5hDIwTSg3JXLH6bztDyf4/DCNr7/X64l7exsXDgfE/4eJwDBN2FfIePGygYyzVdweCFewSUEKV3SAucIhMpKXEd5u/j9216KD+JELqN4MEuxH3d63hy5yEj54rr88E7EEIwBsbvmwIwRDSIkEXmvm4sIG9hRfl28ay+U8zX342N84D5+bp6Uo334I+jDeTVy5WgSpcBh/K88Kjpez5GO3UweZYVC8oN8B70TcKMxWKRKL6nsbp03+uLheK3rVZLvV5P4/E4xIou9O7xmPBDMGnXWI6WNBSSvZX0cEr38YvHWcwf5aG2jMDCP8YHkazq9XpBiLH2rgzSffKL5BmZSzLkJEd2Ibydx54YiofujZL6PCCMB51lzn83rB5K1et1dbtdzWazkLtIQ8R0vzRQX0rGxa8j5oTScn/3oun1ITzBGLKmnv13g5oOVcjN3N7ehjF6kwhrx7UkJXhGrucHxay+SCRHiC/c2qaVML2xVlJii5cLJ8zx2KtcLuvw8FA3NzcaDAaJBAslAoczMMUn67HTLgScpNbm82GBpHuo5CUO39lBbM5ipdvW2NFBI7hbYYQpPW7uw9ZBtmHRsrerZ2X9SDS5IjJn5sffTh6zxXEcmtY92eQ9sCAJ6rNkYMfjcQhr3PukcxmuPIx7G7E2Ph8PwVwu3KOT/UZJqd/7XmOUHmPC76h55/N59fv9UOJEFlwGuLdn8vncS30P0U4nRfAvAbd0nynGOnqigIVza+U1VDyt19jA90AfUuKdTke9Xi8E/rQkspgeY6THvitxLQSCRUPYKOt4DdebxKfTaQJ54Gn52zPBxGxkc29vb0NWmVcakvk1PYMJBN5VWV0B4DtxmIcXTumSDOvLBgSSVr4WZH49BsYQYXAwWg5Z3ct5mAHvdoXBHt+7gXHldPlAMam5+oEAjD0dpzNO1hY4zP5rKhie7Hpofd2AbqOtyuqWDsvksNWZ6kpKBxPJGzqWEHRJweI5LOGetGZVq1UNBoOQbcObSvfHxzjTds2MOrkwupKmN3f7fNliBQzlt91uN/QsV6vVYJxGo5EuLy/19ddfB4XNZrMhE00rnZdovEbrpw/wclj1JnOV7s90hueeAGGdH8r6MhY6ntJQmR1T1ChRyOVyqU6noxcvXiiOY9XrdR0dHSUEl7E8ZKh2nacnHB0dcW3fMcN9UFS8PiERO2LcyLqcu9KTBKXrbjQaJRwLL0dmjs48u/w62ukoUveuaSa45QI+IFSj0SgsaqvVCq1lXBdGeA8yC0sKnmRTr9dL1MwcenE/X+w3yQi7UjAejJLHqp4sYF8k86SlDatKXblYLIZtf+zRZXcQ/ADixnGcqEG7sKKgWH5gt6/LLvPEK7g39bbQ10ExEIfv1PEmlTiOQ3cQsNerAMvlUldXV3r16pVKpZKOjo704YcfJjyqx/cOS702vY08xvecCn3YjMcdjJ+KMR6PtV6vQ8+1H6XLXlnCF+k+p0PHGygHxaeM6PPC+ODJHbE9RlvrrFwIRURwcdsILwKFpWLXfLfbDRNCCPm/J6P8hHSYx0Ty+bwmk0mA3HTbIIAOBRlzOvO8bZ7u2TEcGAe8HTAQuM5nw+FQX375pS4uLnR5ealGo6FGo5GIz6fTqb755htdX1/r+PhYZ2dnYZeQb+r3ZNRqdb8HFqPA3x7r79objCCnPSfrQiLIoRqC7bEjf3c6HUl3iOPm5kaff/65bm5uVCgUdHh4qIODA2UymbCm7Fg6OzsLEB5B5j5xHAfEwncwyrtk91kbV1Y2i2NcPNsOAvT4EcNDIpCmFWSMs8RY2yiK1Ol09PLlSw2HQx0eHgZPLd0fNMfcSAx6cs4zzq+jR5UVoWFh8TieHnflxDswEN+X6Z1NxDUsBF6DOIid9hxxyn04xcFjAQSHsbmC7upxiKEymUwidqAWRhLBM+HZbDZ0N7Xbbb148SLMtdfrab1eB0+F8JOAIubzPaHOS74PX70vmZd7m10hInNjEwFrQYiB4joP0wkgDC3JFLzH9fW1vv7667B9DyjIZvd+vx+goc/XY0FCJD/FIX1G0jbCqXgCkpoqysW84aOfnEGbYLfbDQf1DQYDXV1dab1ehzZUGnIwlHyfHnHG7kaefdJsgGddge7bnMtWz+pWlq6LKLprQvfYCoVhsy9JBjY6397e6tWrVyGRxNlKXo/DE3NiAOUbvA5KzWYCjzu8zeyhut1jlE78MCeOJQGySwqWmi6cXC6nZ8+ehYVF4YlJJYW2xVarFRraa7Va2JbmmUaH9+5VXVHdaLBOuxCoID1n5kRN1JN+ECgCHp+cnOjq6iocQcs+Twxct9sNZxSBjj766KOwa4d5o1jw1jfFu+fZldLowRsgvI+bexMCUELz+uhXX32li4uLxOkVNDKw5RMZZq5nZ2cBfaaTi+xu8oMFQSzpTPVDtLV04wkkYhNgDZOiqZ+D1Oi15BQ8aoq//vWvgxKyN/Pg4ECtVkubzd2Rk91uN0CIXq8XYg0slHsYNl27Z/Hs8K4wOF0nhGnp2IbF9E4nSWFvbxzH6nQ6oVUSXvmWs1arFTY2IDwIJY0C6RpcumzmqX6HzduIa6W9PS/fKIAXgh8OtVm3P/iDP1C5XNbV1VViHzB7kzl7ivUoFothg0ehUFC3202cW5Ve3zTk33Ut01Dfa8iSgiPhPbrL/KSLDz74QLe3tyGMSx+h45suuEar1dLh4WEwut6qiAGi3IVRYk2l7TvFtp7BlG4nw4s5ZAG+8kKwUVYGfnl5qevr6xDfdrtdffPNN3ry5IkqlYr6/X6AVp5AkZTIKhLjubdHeXzCuyorgsG13PLS3EFsyDU9KSXdbXr+0Y9+pI8++igkGzhXGa9Ecsx3vXhZhsQMygmsdmv7UFy7qyDzWwwIcaBnUDHIKK/HeH4fFP6jjz4KR8/44e5+bjR8Y5M1UJMuNcIKz3o7b/n/LkiJ3+JVPauOYhCb+ski3oEFffjhh4rjOBykhxfGmXi/sZei8L40TDAuN8KOoJwHj8XlW0+KSC82C8WC4AF9Hyu43Q+cIhYjTuMpbYPBIEDbxWIRzhoio0rMgMCzgOyfZaude0HGuKsQo/xuhBCw2WyW2JLmTQjpzhviIkpOxIbAQBRW+m6cyrnIpVIpvAc/PSOJ0eQab6qsXmPlvc3m/mwoV17gqseTnmxjbn4EK4LMHFgfHzN8BtJzABvdY2T3fc7upR6jdDkRD0uSyK+1XC5DxhePimxjWM/Pz3V0dBRyKOyF9e+gtPBztVqF2jtxK8Y3nRz0uvAP9qxpqw6UojjPcR80iXugDjbHe3itilMViG+ur6/DDh2szGQyUblcDqUbIAZJLN/W5mPeJWvo5CUC39rEIvtJF545pR7MYuFJCoVCOC2C0hPGCouKd9xs7o7jRAEwcGQhPRHnVtljz4c2MzxEfBeBTJeIgHXMfTAYJBoM0t7Wy3APNTf4TivPvsJf8hcgC3iMh8YT+bi3EfDePSl8I6O7XC5VKpXC+Um0lgLHOQKW3wOTPfHnBli6NxKOyIi7+R3vp/ngPcrfW1mdvKCLhSb+JPimJsk5RZ4JZiHX63XYlTOdTnV8fKzlcqnr62vFcazT09MwcBdyYloSE0APVxTPqr1Js8BisQjHY6b3LEr3B8d56YoQgdMraDfj/sViUa1WS2dnZ+FMYup40n2PtUO/8Xic6GGl7xlo6YkzxujdUtuIeyKE6dKMrxfKiLKgwMA9T0Tx8s0BHE/iCuleEqXxa8Jbz5Qi2LuupydrUH5k1g/ldmThh3pvNpuw7xpZwCHQMkkd1suHnk9g7NJ9/zu8TOcJ4AGG8DHa2hQh3SuqdH+ODrWobrer5XIZGgBYRJID7EPFq3JdzlrNZrN6+vRpsEKbzSacLUt8QcCOEpKIqdfrCQvvUGtbZi1NxN6eHeW6eHKHy3gCP+SbBUGJj46O1Gg0wsO7SJg5AXNJhPiROVhdeObxJALCc4F2oXSixEMFUBQewYXJzzHGMCHg/uxaUBVHAYFMOIHSvQ6GnkRku91OdI4xLozRrjDYvbaULD05HPeyEAaDUmO73VatVgvbPZkfe1cPDw+DvFD58AYdjjmKoigk0Hw8yGW6ZPODmiIQPAQJy+DxKo9O8GdL8tAhb6gm6UQ3CckmzmIiJlwsFom2xLQlku6KzHhVLCReAXLl3UYYBRovqDtiXPAEeEbKSfP5PHEmErElgtVqtcJGeh4DwcLTG808if1AHV4a8njIY2tvptiFaKUEiSDE/B7v4yfZj0ajkDRkd5WfAMIGeu/oARlxnEun01Gn0wm1eIS50+kEBSLpBLxnjN7ls0t4Q6sgRtzjcw42I6b0zeZULFgrSms8TQLESCYf5fYeabL6PHyLZgjCI+J/j/d9Y8q2Oe7cG+zZYBjqMIDAOZvNqtvtBi9AGYC/idtoS/MMJRaVAdNy6MkYWruIbXnxHUcBu2aDmQcti36WMbGKCwAlCBYDRXaazWa6uLhIJLx8PFhiL9YjuHS+4FW9TOOwNw2PtxHr5vXkdKyEdwdB4U1IkPDi6FAMJ94DOIdSz2YzvXr1KtGRNBgMQhKSY2p9fCg5BtE9+zai2cS3KvIvO31wMKA1j8lR5KurK3311VcJPvlZYtlsNrSXglDY+scpKVwbRcVRYfw9Y+0G83W0U28wUNATBSwyk3cv3O12lc/nE50/HNcCzPQDolarVajJoYgwO80sssSkxImF0gK76+I6ebeSP/xKum+GIHHEuVIoF1lCWtTgmSd0IJAGPPHtVDwexM8p4vuObBy57NpuSKeOlzZ8+xi92GzhI3b18oYnbzAaxIjIB40xjAtUxf04cha4CaJar++7qfDsoBjfS/wY0dvrZT0Pk6IoCjG3w3fmKd0ZbXbP0BqIQe50Orq+vk40+EMYIE70XC6XiZZDTy7FcRxKPS7jj9HWE/ldQKR7K48FJmAnw4YV9DobkJnkAQMsl8sJqCwpPN4vjuNw0DSCBdwmVvW2O4c7eIld4WG6JNXpdBLxCgtOUgtohDJjVDxTikWl7oZXwUPyOEfuQWIJ6IvQec8z3sZrdA6TtxGtm15qIIHHi9Ia1wf6IVCeFfXYmesyTgTcY05kg4QNp12u1+sQz2cymVBdICb0bOk2YoPBcrlMnF/FGnubKPDW+e5op1wuhwYGIK57RK+TSgqHp1HKwsjhmJABSka+c82z6K+jR1eZGIsLQTAAb+DZRCazXq/DoIGsKDOHIGcymRAnUpcFAkkKMS738z2wLrDbUt67EIrKAtGJ5QkZxjafz8Mi41l9e5V3priHREi90QCPgmFDCKgDOjwiTFitVuGBX36+0Dailkp+gRfX9CQRiosxQWHcOLL26YYGBJj5AgF5kBee0nf+sIbeZsjGdm+Y30a3t7eq1+tBWdONBryX7o1Gxn0bIjmZdJun508Ii9AHjCBQN93Xjex4O6rL7/cu3eAJSP5ISgiZdH8mKgpGQzyDQaDcO/GZt5WRXaSOKt2XgryJHmZ5bRSGMdk3Vdx0trtcLuv6+jrR4E+DhG+z8h01KGwariK8EAbOyZNSLgzMzRNLXs7w41l3IWrTXobDo6I0cRyHfZxeqnOYm96exzqkj+CBF/yWNWNt4zgOySsSNHhTSn8YkF09K3kH2jfdOKKQ3sjiYR6/J9Obbg0ETTA/PPJ6vQ7jdH7EcZw4ICB90Dnk3vWxEtXWmBVrTBcR9TCYKd17QKynQyWEgQK/ZzMRBIyCdB//cC0sOhP2Uspqdfe4yfF4rE8++SQBTbj/LuTCSCwhKcSgzIekhD8rlJCA1jWuB2G9Gbd7Me9mcg/Kd1AGvBYeFe/4Jg0R0t3OEFAOjSneQvkQpAYpsb5e2vGGBf8bYWWNPWZ3AXdoyXWohfLUcOfpLkaJ5geMGvKHjJI05DMpedwNJUdkDaNMOOfr6fkDTwCSXYYvbMbgWn6yI4YTHn3vbDCu3xUMi+iexLtAiGU9iwv5yQLpYjNCTyo7/XQ0zwhjQDabjV68eBH2kJ6dnYVrSbtng9kvy33Yi0krJA0Ts9kseH8EgG4XrCUehBdxkNfhPA51FEC8h6B7O55vOMejfvPNN6rVao8+zMiJrXvw3tsHWVdQELzGo3nXDQlFH6t7aj9/CkX0OXoy0pWcZ8P6BnZ+w3i2UZr/GJrFYhGOXmHcGKB0ksgP8vPyIPEnCMBLSu4VqS/zos2x0Wgkdot5X4Dz8HW0tTfYrb50X0t02IPHbTQaiRYsPAQL5E3PxEa+EMSmKK639nnHCfdHgV69eqUvvvhC2WxWp6enieL3LgSM+eqrr9RqtYKnrFQqurm5Cd6OeJuMsT8OASQAjAfyoYCeaXZYBrzyvY14UKAYQoHXR4AuLy/fqFOLBA9r41v9MHLeQJCu8TrE91Y5OntoJMhmsyGjent7G3Zk8VuH197VBAT2Ti7Pl+xifMnCgthAWzTXeGMLnoxQC+cAyvK/vebrCS88tCND5J4tcbe3t4nY/XXZ+23G6FFlpTXOmeueFqjAA2bb7XZYQCycKyyf+ZYoFx4vB3iM5GPwtq5CoaAPP/xQn3/+uS4uLkLNzuPkXQjYMxwOwxPEfJuXx2goni8ii42n9XFK9+Ulj/VdWOElSIWngQMFpftQwyE4R8m8SelmvV4noLQrjG82YD0cJntxn8QWSs34/HtkVT3bzCvtWdlmyZzpUnP4vAulz2ZGYaMoCsjOE6HS/YOepftzwRi/NzA4imD9UT7vAAPKTyYT/fa3vw1HztJee3R0FGrZGMh0x9pD9KiyjkajRAzjcQgvt6rS/en1rmwsHtYLZuA1EFgsufeCovQ0XURRFBI69Xo9PN2LaxHLwsxd6PLyMjwn1q0qzw2lFAVzV6uVLi8vFcdxeP4oHg+L67EkCpeut7K4wFyyjzc3N8EL+YZpyj1k1QlHrq6udponUJcN4XhKlM2fGgAaAsE49HfkxFrTTMAGfK/LkgD0Fk6PWcm+39zcaLlchgYL5v8mxMkUDred5xgm+Hd0dBRq+MgzCukZYjesvineE66sBx1gkhKwnn3ccXz3HFY/3dEh8etoa8zKhNOdRBCL561TTJpEFF602WwG6OHN8V7cTyckYARKuFqt9M033wQLxIN/X758Ga4dx3enTtA4sY3c83tnUaVSCc+ggfmSwnx5QO/19XXi8YcIBYqNAWB+nszyriAv6PvmbzLUKKvDQ2/c2EZ4BPjtyTggIv/SmsgeVHjtyRS8Ca2ChE0oCskob1b37CuC3ev1dHV1FRpF3Lt4DXIXwugyV/jJ/zG4jAuP7s+ZdU/p9W0MqJemXKExuPTEExJxneFwGFoV1+u1zs7OAm89zHsdbTVbnmr3hIMzD9gBdseCEpeye9/LPG6JZrNZYC4CzL28IL3ZbHR9fa2XL1+G7O96vdbR0ZFevnwZ+j0lhc2/u5CXBdyj06lEdpGtbJISm8Rvbm5CDIqySsmSEArmxgrv5kkfeMTiebsanTdeC5XerPnDa6IIHR4X9OAthMTlICY3pB7DulC74qK8yAQx42KxCCc+giTos3Z4+KZECRB0k4bS/J+x3NzcJJ6MADz1FkQ34vwWtIjn9mNa4J10H3rA9263m8jZHB4eJpzKY3OOfmgzwZ72tKe3Q2/WPLunPe3pndFeWfe0p/eE9sq6pz29J7RX1j3t6T2hvbLuaU/vCe2VdU97ek/o/wHZhl2K2HV0vgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 5\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 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 8\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 9\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 10\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 11\n" ] }, { "data": { "image/png": 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ZDEqlEhaLBY6OjmAYBqrVKur1uoSkTCaDTCaDTqcj1TUFwSInFAoJDBeNRpHP56X6ffToESzLwuXlJRaLhcw0sFhgmCIcRTxx03Ys/59wEfmjpweAYrGIUqmEYrEo3ml3dxflcln2Yj6fIxaLoVqtSpQisD+bzVba14SVCBFmMhkpnC4uLmCaJorFIrLZLHZ3d3F6eioembniaDRawbfvI+bmNNThcIjlcolMJoP5fI5UKoVqtYpyuSzKE4/HcXx8jJ2dHRiGAcdxYBgGGo2GyG8+n0tdwzqEaE46nYZpmmIcpmliZ2cHjx8/Rq/Xg2EYKBaLSCaTkoP7vo9kMint8GQyeac871TiUqmETCYjHjUej2MymYhnymQymE6niMViODo6WmkATKdTKVKoqPQY6z1zVrisTolB2raNfr+PUCiEo6MjZLNZ6aJxI6kIhMeIabLw2pSI41LRNA6qmz6FQgHZbFaUbzweSzSoVCpIJBKYTCYol8viPRh9iGeziGN3ioM+2WwWn332maQu5XIZlmUhHA6jWq1KYcf9isfj0mXchLSTYIOIihwKhZBKpaRQfvToEY6OjmStnLuoVCoiYxorO4pUQHr7VColeXUmk4FhGJIj7+/vo1aryR5MJhMYhiGpChsnnuchkUjcWajfqcTsPpFpvhgFylyFCye0QuEnk0nBkWezmRRD7JUDb6ErbcFkmgUQN41CYI5Zr9cl6V8ul1KgaChqE2KnkQgI17neTGBaxWqeuTP3hm1b7UEIHbGRAtwYTDabRb/fF7iMSsDIRyMcj8eIRCIiXDoA7n00Gn1vE2CdmEZQnuzEsWiiHOmYtNNhMZ9KpaQ76nmerJXRVbfjU6mUrJcAAaFIGiIRL6I/hPv0QBaj7PuM9U4lphDJMCt4LoihjYpNYTKPpoI7joNoNCqWRYUgpKPBfTLBRgqFT+UHIEZE63YcRypuvh6Z34RoFHr8kMUsX5PCoCKyqKKyUjGInnieJ11AYqzM1xlm2ayIxWJIJpMCDVLRyCf3nArFNUQiEeTzeezv72/EJ4svNlG0R6Ys+Ew9Qci/odJHIpGVpoxukCQSCYnI8XhccN9UKiXenl1B1kXsRfAZurVPqPGuiHOnEjNJp4KQWXoLeh8KnJtDHJmehMTuD19zfaSSrWhivvSy7Cjp9AOAeA0qC+Ebzhts6onp9ai0fG0AAvOQP24wBaNHRcPhMCaTiYRerpszznr9NNh4PC6dKDZxWAjqJgkATCYTMWYK9cGDBxujE/SWAERWjD7MOzWqQ6WjAnIPWAzSEQVBgMlkInug953GyEJbT/StK7HmU6eDuiC+je5UYloXALFcMkJFS6fT70yyARCoihuj8yVukJ6k0tWo7pZpfFB7CDK07rWo7HfNn67TZDJBJpMR4RG05zOpcAy9FNZtY6h6/pgDTUw79HytnqlliKYX1xNtACTVoHPgzwBIkbsJDYdDMTDOD1MeVGRGUvJHOeghLT3cxDqGKaLeE+4BZaidEtvTlClTUT6DDoNpGz/fRvdOsTHxp3B1yOWmUrBaCYG3CmAYhoxI6mERboieCWCblptAhvX4H59JZacSayz2tnnW95Ft20gmkygWiyvr1gPiVCIanFby9VDMJsJ4PJY1MMWhV6MS6WEjPcOhR1KJctDT87nc7007k+12G67rolarifHrsUuduug5Y22wOq8nOsHf0UB0zeQ4jrw291J3DYG3Tk7j+3qQiPvyo5T4/Pwcjx8/XhmX1OGQguSDdbeGC2Zb2fd9CZ3a02lBERDXIUYD9LLoHwosWqpmXCsBBX4fsbEwmUyk40ce+Vkrsl47+edn/g+VmHkif6a9NZWAz6Oy0Cho/FR27oOOaJwy24Rs20a320Wj0RB5MhfVsyncR6YL2jnpyMcRVV3/6D3RQ1V6Tlg7HPKpiYUcX4N7/b7Ieic2M5vNMBgMJEdhkcUCS1uofqAemGbnhjPAuoGgLZODRb5/M3SvvR7wttukv9YzANp7sZhyXXcj4VqWBcuypLvGfEyD91TmdWJEYZgkvMguGMMxeeZekY/FYiF1g07J+CydwvH369FmUyiRwza2bb9Tn5BHPfDE32mPSZlr5IjFrVZOEscV2GbWerLO87ou6Znru+am71RiQje2bQukwrDJip6ksV99lGc4HKLf78tQNA1iNBphPB7LCCVPMABAt9uFbdsreZjOt9ZPQjD/ZgeKa3Ac5x6x3hAPJxL+YTGmlZi0bjDMe6n48/kcV1dXgpjw1AmVUdcBRGG4Nzrv1Tg6n6mdhPZMm+b+h4eHSKfTMpS+Dv0BeGedOo1gFPI8D51OR8ZBWfgywuqGWDqdFpy53W6v4Mm3zbgw0rBryTXymNZtdGc6sbu7i729PZkTZjeLG02F1jkqBU8hcyCm0+kgGo3i8PAQw+EQ2WwWwM1c68nJiYR0dgcHg4GcIiBz2jr1mTsagz4gyi7ZJhSJRGQWuFAoCEKheZ3NZgKlcT3kl82QaDQq46eLxULgJhZSwNu6gYNGHJ66urrCcrkUiEnnh3wOu2PsArLY3NQTP3nyRLyibdsoFAowTVOcBQ2DcJ5+tj5sYFkW2u228AFAYDMOgAGQISp6bnZ8OaW3PubKNEbLdzqdynz3j0InyuUyGo0Ger0ebNuWmVaGBeK4VARg9QwZN30+n+Pbb79Fq9VCo9HA9fU19vb2pIPz6tUrtNttpNNp7O/vY3d3d0UJtVfQXogKRKvl0A4Vez3Xeh+xSLIsC4PBYOU4FV+DeakOsxQuZ0EYeQaDAXq9Hvr9vnjbfD6/0tCZz+fodDq4vr4WJTAMQ2ZsNem9JJ+TyQTZbFYaJZsQoTzXdWHbNobDoUBseh5jPQpQhvz5eDwW/uhxOWKbzWZFAS8vL3F6eioDR+xysljj+llv6MhCOWp+30d3KvEXX3whyfdgMBCBEJrRzQt6A52jUihPnz6VCbaLi5tLw3u9HrLZLIIgkHmEIAhQKpWwu7u74rmIATOUMQro07Ic4qZSf0izgw2N6XQq02XM9bThUMDAWyXWp1lY8KTTaXzzzTf4+uuvZQjm+PgYo9EIOzs74rG+//57nJycoNFo4ODgQCAwzpqwwKFjIF/T6RTj8RiFQgGJRELmde+jYrEog0S2bcvwDeXJCMBijUSlolNhV/b09BTn5+dYLBZ48OABbNsW/mazGV6/fo3T01PBs/f39yUl4IkdzoJTzkQhtPKOx2NMJpMf13YmiM6TCxzmWA+pFDo/M8wYhoFKpSJw1f7+Ps7Pz3F5eYlutwvgZlB6d3cX+XxehrGJy3IYnjkRN5C5J5nlZ824Dov3EVOg+XwO27ZXMFL+nDguX5NGzMtN9FGmhw8fYjgcwrZtNJtNvHnzRng+PDxENBqVEUjTNMX7ptNpiQg60tGIKEzbtmXYZrlcotPpbMQnT2an02l0Oh10u10puHXnNZlMrpykJs7NtrPv+3jw4AH6/T6ur6/R7Xbx+9//HpZl4eHDhzBNU9b85MkTJJNJ1Go1eXa5XMZwOJTzhNxT5ubj8ViMRt+t8aOUuNlsipVyHJBJPL2DblYwNLHFzKqXo3aFQgFPnz5Fs9mEZVlIpVIoFouoVqtSINB70jqJoerqlEqsvS4VnT8PgvefBFindDotLd/5fA7XdVcaAYTf+Pq6YmcHk8ehfN9HvV6X2ZFSqYRWq4Ver4c3b97A8zwZIjo4OEA2m5WhG2LkrVYLtm1LvsmIx1yfeKlpmuh2uzJcfx81m03Zv+l0CsuyEIvFJHfnPDWjyjqsmc1mJYfe2dnBV199hXA4jG+++QbNZhOu6+LNmzfI5/Oo1+uo1+sol8tyRlB3H/P5vAzH6/Yyvb7ebxaDrKPW6U4lTqfTojgULjt1GvKi8lKR9ZwDwy+Ftbu7i+PjYziOI96VE2M6cSdGykERdod0SKXnpafQihwEwcadrFqthrOzMykoKGDd8mZon8/nK4NA9KLkmWmUaZp4/PgxUqkUrq6ucH5+juvra5mbaDQaUlhxP1kM5nI59Pt92QfNK1OJUCgE13Vxfn4Oy7I24pP5KhsRk8kEjuNI1GRRyQhIhUsmk2JgrIdisRgKhQK++uorNBoNnJ6eotPpwPM8FItFOYrGtIgGyWEiXhPGkzK5XE5ky5liRjq229+XHt6pxEwLUqmU3HU2Go3kECctlQxqzJPCpiLQs8ViMeRyORSLRalY9fwB8Da8E/pi9a+VdN0Tcz6B7U9WwZsQ18Bcm8/o9/uSo+kbafS0G5WMCA33hTPRvOvs6OgInU5HPDS9mm7Q8AQ0UylGBN26piET0bi+vt4YYmOqkM/n5TwjsXQ9bMVCTOP5hmEIDEhlMk0TqVQKOzs7ODo6guu6GA6HK1NyHLHVXp3wHiNvv99faf6sQ6VU6NPT01v5ulOJv/76a+TzeRl0If47mUxEABQ88xYWPMDb1qTGeKnIHBTyPA+u667MoTInZbePeafuqfN5ugmjr7jyfR+Xl5cbCfdPf/qTnMTW8CC9K41R4+TcDwqWQmUxqOeTOfDN+VsAKwC/Rly4hwz5rD90e382m6HVasmJ5U3p+fPngtvqI/ksngDImtdnF7i3egJOG3K9XketVpPjazr1I+luIxES6tR4PL4VlaFDmkwm+POf/4zb6E4lfvHihXidXC4nHZ/JZIJ8Pi/FD0OtxmupaBpmo/LS8zKF0J6MRR1vfKGC6mPb2msyBWDBx59bloU//vGP+M1vfnOvcFutFoIgQDqdXgH1aWiMSOtHtXgEnd5ZDyZRAXTRyzyfe0QFZAGpi1imY7rdy31m9OGebAolvnjxQtrLrG10F5brA96iL1R0rpXOi4ZGPjk0xHSMiI3uKLJzyZMeRCNYD5F0W5/Pnc1m70Vh7r0BiBvOEMnCgh6DADj/vtPpoNPpSDVOoXIGgHipzsO4Sbo3z3yTpyWIMbIAIK0Pi7Ci7vf777XcdeIJB7aJKRzOwlIBWbSytcyxT2KYWqAUHit/Pd2nrwDzfV/4YvFDI2KzhwcmWamzwNOvuwlp40kkEqhUKsIz91RP4XHgiCfZ6Wx00c5IRS9KhaUD011IGmI8Hkc6nUY2m5UT84VCAYPBYKVo1pGeKchtdKcS62EODnEwweaZMj2sw5FCTnG9evUKzWYT5XIZvu+jUCjISQBWu7pgmk6naDabMjRDfPXg4EAOEhK+iUQisibmk9yoxWKBTqezcROAxsmCSQ+zr4drtosBCIzW7Xbx6tUrdLtdgQlp4OwA0mC1B6bX5Z4mEgk5n8hIRB7olXhrj55n2LRjxzWRPxoHiyeN7xN6Y1RzHAfNZhMnJyewLEvkwzOUPOXOIlz3C6iEtm3L3x8fH0vOXCwWRW+0odG5eZ4nTuY2uvfqGG4WPY9pmlLcsWqlxymXy0gmkzg4OMDnn3+O4+Nj/OEPf1g52cBqfzAYIBaLoVwui6crFAryu0KhgP39fRGoPrbCdbEI06EVuMEZW63WB53sACAQIvC20BmPx0in0ytYtZ7iYsRYLBbo9Xq4urqS9IYHSFmY7u3tiSdlgdZut9Hv92GaJnZ3d1EqlZBMJkX56eXZhaTC6Q7mhxDTIxopYTXHcZDP54VXpjf6RHUmk5F8vNvt4rPPPoNlWcjn8yiXy3BdF41GAzs7O5IXM/05OzvDcDiUk9PHx8eoVCqC7uhaRhfv/H44HP44dILEXIfHjEKhEHq9nhRivNCDSIbnecLY3t6eIAy8FIPXP7GS5QyAaZp48OCBFArEGIllMkzzylMaFoemgyCQlGYwGHxQ25nt1OFwKF2kIAgknJJXduC4XuaGjx8/xtHREZ4/f44gCOQqK0Yhw7g5znR8fCwDT2xaxONx7O7u4vDwUIbc9VVZzDHJN6FH4Pab999HupVMVIXemTf7cGCJ3pUhnynB8fExjo6O8OLFCySTyZVR1VAohG63i2KxiEqlImhKOByWKFwoFOSSSeoN954fuonFqUbtYH6UErMwYQXJvNRxHDmmw/NmGtBeLG5OLjOs8uaaSCQCy7Ikt2J1yjFB3hjD81yc2eDfDQYDCU/0kMyHXdfF69evpVDZhBiO9VwIw7vv+wIpMlcnOsODlPTQn3/+OdLptMCL/X4f0+kUruui3W7j5cuX+OKLL5DJZCRnrtfrePDgARqNhuTAvJiG90DT4B3HWTnmpNe+qRz598yxgbfXW/FwACE2NnH01bfRaBS/+MUvUKvVMJlM8OWXX4q3jUajGAwGODk5kbY/ax0eOqD31cfdRqPRyi1HGieeTCbodDpYLBbvhUw3SifIvOd50uUhwM/24fqxFgLihGp4d5eeH+YH80JOimWzWRkk5/8Ab2++ZGuZoUbDfLy9hrnfhwi4Wq0KPgxAZkX0JJvjOHIFKXnRtQObPYxCLNLoYVjtE5sOh8NyLQIFy0kzXk7IUU1+rafbKKNNiJAV94WIEqOJ591caRWL3VwKyVZ4LpdbmR1nkW0YhtyNwZRwMBgIWjOdTkU5WTMxytHZLRY3N/pz7oW6wLzYcRy02+0bZb1lnhvYQIn13C4AsRre0rNcLmUGgMddWNhEIhHpxHCmmD/ngggvMS9d9+rEUqlAfDMS7X1pAJyIs217BTXZhHjEvFwuSxOAa+GUF0O767pSwOj5DKZahIN4MR4LQSIVustI+FJfxsc73VzXFWSASqxPhhCq3NQba6xZF4ZsaTPa8RBor9eToXaecGdRbZqmzIrP53Px2NqgqT8A5IovfR4yCAJJlYh46TpnMpnIbDYh3dtoo9POJCotq1MWdovFQlrS7MJQIDxWbxiGpAHj8XjlWDxzYla89H5UZG4yvbCGbfRcQbPZxNnZmWz0pkrMIobQz+7uLs7OzoRPhj0WHDRkEvFdTuExd2VLl8UssFowsnXLoSdizTRW8sy5FY1K0HjXu5330XrzIRwOY2dnB9fX15JOcH30gsvlEsViUYZ/DOPmXpDxeCz3UOu7o/m6jBY8tUODoBLrIlfn/1Tofr8vXTpG5tvoTiXWJyu0ZRFsH4/HKJVKElp0IcSwQcZ4LZO+8kg3AXjgk4Uc/4+D7mRuPYQyVeGFhHxdFoybkO/7omxBEMg5wG63K4rNIkYPa8fj8ZWuGr1MqVRCEARy7Im5v25MsMjhheDcC0Yc1ghMnQgxMYpp/jctYIHVI/XsxhUKBUQiETFcKhvTN321l+5C8gqvXq+3UsQxzaIM2H4nZEejW7/tlB/UrXa7jdlshnw+v3J8aZ0+yBPr71OplFjiusJqoJ/CjUQiqFQqwgDfh0PnZ9pb8Wd6Qo2vz/yMo5Nsqui7E3juaxNaB+t5FUGv10On0xHMlikKQx6NkRNgzP+ZIyaTyZUuJruUoVBIog6Ng2kb80MqBdMXDsFoOTCV2DSd4P9RkRmxlsslGo0G+v0+ut0uSqWSpIt6RsXzPEn16FF5+Jf7QeSE7WnWPxwE0vMQuoDTIw28oJAz3PpaiFvltwnTwNswwWkyFiLX19dIp9Oo1WpipdprZzIZKSb0cXeeMtCwD5VjHeDWbWX+HS/fa7VaGI1G2Nvbk0p43aNvQtprUwHj8Ths28b5+fnKzUTa4ADInDGLXdM0USqVVvI7pgLcG90FpLIwhPNvmaZZlrXShGBLmN570/kJviblSK/Iz+VyGb1eD5eXlxJ9gLc3JGmkQU8XktjJZOTRv2P0YDTVEY0GQIO1LEugPXYx+fq30b0dO1046GEV4Oa4i+u6ePXqlfyMb09wW7tR58q6qucz6LE5aqmVmnkSi552u43z83O5Xjafz8vhTPbo31fNvrMJCuckz6ykh8Mhrq6uVkZQ9bv4aMOl1+HJX/LH3J3ej3vLr/UIIq925ehrt9vFbDZbOa/Hky58nU1JOxcqBPeIsyPZbBatVmvlbb9YcOk5FSqw5p06QR3RDRl2ZfXgkX7jotFohG63i06nI1GKgMFdXhjYEJ3Qn7nxzOMymQzOz88lbOpL9Qix6R4/mV3Ps7XSs3InwE+IaTweo9/vo9Vq4c2bNxiPx6hUKqjVanLvF5VND9jfR2yDU9CMHAyd0+kU5+fnAG46Zzs7O+LtKRhCa9pb6qik+dT7qQ2VTRAiEsSZmQ9qw9fDRpsSUz0aGGVApIBhv9vt4uTkRNYXDofFM7MJo09aaFhVpzrrRkNDpkyZJk2nU7RaLVxeXiIcDuPw8HCl8L9tLzXdq8TaO1EI+qYaQmsczmZFqq2Xx110YcAFMZwxxLAwZFjhOxOxUj49PZXDlZVKBbu7u1KILJdLgbSYf21Cep5VY9ycpmMkODs7k2NFzFmZkzKN4T4xfaKQ9byxHk3VI52E1QaDgZwg4f+v04d4YJKOAsBbBdUKzdvpLy8v8d1330mEIE9UeqYxhNUoV20Y2jkRkybywmLcdV15cxp2LrnnrG2oJ++je9MJLooWrEMFwxo91ps3bwSCevjwIRqNBlzXRaFQkNaxnqPVwyhUZDJGYXY6HfT7fVxdXeHk5ATD4RCRSAQ7OzvY29tDuVyW1+Copr4ydBNi65dn5FiwcAyVCu55HprNpjQieCEIvSn3Rh/RYjgGVsM5P6i87XYbnU4HrVZLEAO9T1TC9dFMnd7dR9pLsrbhABcLTzY4kskkhsMhXr58KW+MqU/WsBvLLp5WcO2VqcQcO+AbErXbbXnvD57129vbQ61WE8hyPVX5UZ5YTyPpF1ivijm51e/3cXl5KTcHHR8fo1qtCgzH9zzTeTE9AZN7YqPdbhftdhvNZhPtdlvmL0zTRLVaxcHBAer1+spwPnBzolfPJm9CvBeX0JAecmfLW4duzm0QRZjNZjIrwFlrfZJFd9dI7AAOBgM0m015/77hcCgHEQjfaeXXUexD04l1ZSdKoI1Ej0qyNrm6upLcdTweo16vYzwey5ts6t4A9UM/w/d9eW+O6+vrlTdmtCxLhoLq9bocwFjn7a6oeqeU5/P5ikdjn5uhhLPALGY4E9BsNqWq53H8QqEgDBOq0tZLRXYcR/JevpMOw1Yul0Mul8P+/j4ajYYUEXr4Wl8tuyl+qmecmbsRB6Yi8/Apo9JsNpMDr5ZlyVsy2LaNUqkk0YltZD23QKydF7ZcXFzgxYsXcj6N0YWR8C6o80MwYhopT8v0er2VhgmNRA9ksSDjfLZt26JwtVoN+XxeohZTQ0Y0rpWwGSNqs9lEv98XuR4cHMh7tXA0lJH5LnxY9uBDR/m2tKW/b7R5v3JLW/p7Slsl3tInT1sl3tInT1sl3tInT1sl3tInT1sl3tInT/8X8LS+nyz9IgEAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 16\n" ] }, { "data": { "image/png": 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nME1T5lYsFgEAqVTq1P6QZDKJIAgQj8dRrVaF7E+n0/jRj34kZdZCoYB33nkHjUYDjx8/xpdffimeWJeNWbJdZJ7MRYIgEPjS6/Xw9ddfo1arYWVlBdevX4fjOAJTVlZW8OabbyKRSMgGzuVyKJfLiEQiwhHrsrPv+/Jzy7JQqVRgWRZs20axWMRHH30kRZZ0Oo1yuYx+v4+HDx8COC6Rr66uIpPJzPWVnCZnGjF3Lr0EQ//KygquXr0K27aRTCbhOA6uXLmCUqkkSmIhgCVd4uJsNiu0CpVL0M8MGICwBMSlN27cEJ7U9330+32srKzgxz/+MXK5HEqlknDQTKAW5U81bNK01mw2Q7FYFLrPtm3cuHFDsntSXpwTIwC9SCqVmivbcpMwOgGQDUt8f+XKFWxsbKDf7wsPDQCXL1+G4zjI5/NzlKNhGAtX7AibmDxxbJVKBdeuXUO1WpXfXb58GRsbG3NFriAIUC6XheY0TRPJZFIKFVw3XZHNZDIIgkC8ar/fh+M4uH79uhRvGAm2trZQqVSQSCRQqVSQTqeRzWZlHV6IJ6ZydWML4UW5XJaqk+M4krmTMuKDi5ZMJqVer/EnCyKkmVhgAI43EXcg8dNsNpNsnjufRkNjchznqUals0RzuSTfic9WVlbQ7/elEKOTMb3B6bWSySQymYxEL+CkL0SX3Kl4ehfyzYQKhCRkIiqVijA7hUJBSr4sgiwi1CEdEg3xwoULKJVKGAwGgtGZiHN85HSZdIUbwrQ+9ZqS72akIofs+z7y+bwk5JrWi0QiSKVSkrBHo1GMRqNn6vO5Rqz7G8LGHIvF0O/35Tl5Pq3IdDotz6lMzYeGuVUqitW8RCLxVHWMWI7hkbBHN6Qs2jfB8eiuNz0+KkVzv1xwKpKdV+wr4GbWzTKaK+c4qSDf9xGPx+eYDyZRwIl34yankRPikZZ7noSbdfgzzVpEo1EMBgPBucCxM0mlUojH40ilUtJKEO6+0+9Jp0ODTKVSEr1yuZzolJuVzoy2RI6dxn9WC8FzZ68nTOPghOPxOAqFgiRq9I78O9bEyePqggGVQyOJRqOyU9kfwbo8iXi9i/k3unGHmTaVsqic1uuro0U8HpfkQvPgXAcaseZ4dbjW78/3pIfjJmQHHAsstm0L1tWwjvPl5xDjvojQ+Phgn0i5XBboyHGylYDMiG7WCq+jthPCykgkIvosFApz1VA+tOFr1oo6eFYCe+bsNZgO95cy4dNK0i13VCJpl7P6UzUHrEubNEaWmcNtn3wPXQXTC7Jo1n5am6iGF7rMDUDGp8dOw6LSTlOuhle6ZEsjZk7Adeem4TryddxITL4WNeKwLrmOfG+tz7Bew5BB60+/L9ePWJpcN+fBvhe9nuHuR64BqT/q4j/EiHWJVz/nB+nsMbwY4YXT5L9hGHNth+Qh+TutqPCJCV0GpbegR39WIhAWGp42Bj1GXUzgXHRpmD/nWDR205sDOMkzCL3CUUUrV78OgGxWHfnCZeqzROcROrqG5xv+bP2a8EbQpX+9PowwxPo6gnIz69fqXhuOQVdHz3JIZ2Y+rJ5pT8XJ6AnqhQgbLgeva+3hCpNlWYLzOGgaoMbONChdstTCz/M8Typui4hWrg7VYdFGHY4o2qvwQfzLv2FYJL7jZuVa6QSWm1pTnJpZ0P3Ai0YczfU/a276edigtccMR93wmsRiMaRSKWlb4MbTEEZDNp0E83O1frmBT5OFPDEXV3uV04xaN3FwUBpXcQL8HRXLn/E5cGzI+Xz+1JJq2DtprMyyMam5RYSegpAmbMDP26hawXrhwxAFOOHeDcOQRu9wcqRZm/B8tYL5novyxM/KS/T7hr26znPoiXWRRG9qvj5spOyEo55Oi+TaKepxcuPpMn9YzjRiNuSEO7j05MMLTVqGFBINiVloeNBcHGIg4IRnZuOPhiwUvp4bjWFW9+wuWrE7LWyGPRN/T+jCeekkh4YVBCeFBD3m0zYr+y4AzL3+rKhGQyLefNbZs7Bo49Dz0nMPz5fQTDcPsRHrtI2t35N8OjEwT6uEPy8Mn/gZNHr2mjwrsp5pxAx3bErngLW30uGJytNJC5MPKr/ZbAq1RJlMJnjy5AkGg4EYfxAEYtT0knrhdOKjT4Ww84yNSouIPlUd9lJ6rvo5O84Ia9h1xQ14WhJFQyRO5Fwnk8lTTfRhzxRWLv/P3oVF56kTX87ptHHqfIXz1mfw2Dmnm5/0Jm+32zg6OpIzcgCkX5t2EmZqdI8yjVc3Y73QGTvdmELF6sOb4aRNK5thg4vW7/dRr9fx4MEDbGxs4MKFC9JF1el0cOvWLQDAG2+8IQ3gQRBIGCLG4uLSG3Gy9MDs+DqLHA8LXx8+6cwFPi1xonfhorNAQD6U7aqEDow2PHKl15KKCsMu4CRz17kFlcsusUUjjm531exROL/Qm1f3Q+hNSB6fJfLz58/Pda89fvwYtVoN5XJZjtxzrpxT+OSLZqZ0Fxy98Gl5CrAAnKA31s0aYXaAi8AHPRsTtul0isFggEePHuHrr7/G4eGhdC+xrfPw8BDdbhfJZBKbm5vI5XJz7zWbzeYSJXp68o2c7Hg8Rr/fF8J+ESEMYdsn8WjYO/FfPWe9+FQwm2mSySTW19fFAGzbxuPHj9Hr9VCtVoUDpSencnXI1R5Yb1w6F56kWUS0p2PFUcOAcIKqYQ7ZH+pgNBqhVqvhH//4ByaTCX7xi1/MlZXv3buHe/fu4ebNmyiXy5Lk8bPZxaePNBEDU6fsghuPxxiNRnPlbS1nGjF3hF5sLnKY49OTBjCXRZNueeONN+QMV6vVktPDAPDOO++g3+/LESTCDTIWPHWsqSiC/uFwiH6/j/F4LPX48XiMixcvLqRc7Z3CmT/XIcw+cF0IP0jtdTodbG9v4/bt26hUKvj5z38um2s0GuHOnTs4OjrCT37yE+RyOWm11IbKNdZQQsMmGjCjzqKeOLwJAMwVaAAIdNT4Wes1mUzCNM25U+aTyQSHh4cAIMeeTNPE6uqqbFjOh8IrGMJFEToCrhd1yS7B0+S5RqyTMWbBGpfqkOp53hwlpBtqotEo1tfXkclk5AxVEATIZDISslZXV6W0qQsD9L76+AoNiDuVFS56d1a+FhEdxuiNw2yMzsi1N9GGz36DeDyOtbU1RCIR7O/vi7HpQwGNRkPK8RTdbqi9Y5h5oZK5YRdlJ6hPQr0wTUid6ugCnFQZOVc2H8ViMWSzWQwGA7RaLWlqTyQSKJfL0szDA6GaddGdadw4rODpzcloEwQBVlZWTp3XmUbMnagzdcIKnkDgrvZ9f+5of5hnNIyTeyh835d6Og2H3kfDBlJ1hCY6uaBitfdiBjybzbC7u4vPP/8cv/nNb56rXL4PiXYNnTgO/Xl6M+vNRl53a2sL+XxeTgszSsRiMayvr0sDP/ty9VwJO7ju9NKe58kxIipXHxxYRDSuJdPAeQCY8/bErtohab2yJ4J94nxvdp5prpsSrsTqCE6ISFhHp8STJ2SqTpMzjZjUzWlcoMbArHbRSE/zZGGazDAMOcrD7n+9U2m89LhUJn+mjQuAKIWNQrVaDY8fP/5eCibui0SOe3R1z4c+kcEj9rzpR3fhBcHxsSi2Zj558kTOrRUKBVknff8Zo50uXpDV4cblz4iB2T3IRvVFRPPQXDfNJNGh8Jg+T7vTGDXFSmGHIq8BIyyjzviexOB0AJpmBE6qcprz53PHcXD79m00m038+te/fmpeZxpxr9fD+vr6XIau6+faY5I208kfhSyFLp5wN5L05+Low6Pa0/Iz6T10gw1/xwVqtVo4PDx85s4NSzhq6DDK/xOqkPfUUSdMybEPIZPJyK07pNQMw5B10q2O+vWcDyOL9o6aD+fj4OBgoXlqGlHPlzphFBqNRtIDrq/24lppjM7XsbNN325EvekyM4C5/EMzERqacpy+72M8HmN3dxf37t07dV5nGnGtVsPly5fniHxtpBxEmNinoXGxifVYTma3VL/fl15djbd0aZnPadz6s5jYaVhDKEH8uahoQ9ahXUcb13Wla40KPg1XAiddX/l8HolEQnAfoQr/hkaguWX9nuSUteFoanM0GuGvf/3rQnPUm4YbRRs155xMJpHP5wUKUJ+6ckZD5e8YSYlnmVvotdDz0lFbl8PDrEgQBJJPvFAD0BdffIEPP/zw1P4J3QhOD8lEo9FozN3cQ2pFl6BN05SQyJ8xEeMmsSwLxWIRlUpFDqWS7dB4jjiZp293d3ef8q5nia5i6aIOhT/jSQWN9bQhaExH3MleCHrV8OaiYfO9OEdNH+rQGo5QjUYDR0dHC81zOBwin88Ll63HQX0S5/r+8ekZ4nqdD2iD4gbUeFtTeWQhyCrx6oO1tTUpues1DxeKfN/H48eP545LheW5RtztduXqTW209Fbae3F3BkEgZ+t4QjkSiaDf7wumJXhnlYsKDXOf5BOJI/lewElfBm8gchxHTl5/Hy/MfmWdYHGeNCrP8+TOsSAIpDeD4ZesCI2Om4KJERkFnayy6YkKpsHT+OmFNbzQcGw2m6HRaDxTuWE5PDzE6urqXMWO687/MxJyTgcHB/jqq68wGo3kkhZSaOwXLxaLmM1m6Pf70m/M+zqazaZsXt5fcu7cOenB1gUXnejx0e128eDBgzPndaYRNxoN3L9/X8476VsJdZbLEMcjQqurq9jY2ECz2ZSBG4aBXC4nySKJbOB4B/JEg+d5cgixUChgbW1NTjlo3MaF4b/j8Rjdbhe3b9+WMuii3V3D4VCKK+F200jk5Ag+veFoNMLDhw/x+PHjuciiWRQaBsfKMqumkej92BBfKBTk8CVxZDjM6s3Jy7YXlW+//RY3btyYY5gAzDFC/Fze/byysoLV1VXs7OyIt+WmTyaTiMViuHTpEkzTRL1el0OyTGjJovBylGKxiPX1dUnyyM4wMde4eDqdYmdnR660eqGK3Xg8xu3bt/H222/L7elcUBowATs9lsauhmFIzZt4WCtYh1neIlQqlSTzz+fzcmEGmz9YhiYBrpt9eAmhTiIWkW63KwlsmEnR5XYmY553fIT+z3/+MzzPw5UrV/Dee+/BsizxRJZloVAowHEcbG9vY2NjA0EQ4PDwEEEQYH9/H47j4OjoSJR05coVvP/++3K4UifO2kPRgfDk9aKw6fPPP8fPfvYzuUJBJ2lkD6hf3f555coVlMtlOTDLJJqRkwkmL0Rhg5BpmiiVShgOh3KJztWrV7G2tjZHvdE46djISAyHQ3zzzTdzTNFp8txix61bt/Dxxx8jl8sJZtIhnQAdOEkWKLyzgOfPOp3O3GUhJN1jsRiq1arwi2QAyHj0ej30+/25G8RHoxF8/+Qu4Xa7LRBGsxmLyHfffYcrV65IgwpFQwvtYXO5HD744AO4rouHDx8iCALkcjmsr6/LbZr0sLPZTK61NQwDm5ub8H0fm5ub6Pf7+Pvf/4579+7Btm25xI99GIQVlHDVbmdnRwxrEbl37x4ePHgglzTqZDScTOkknqfUtdEyurI7EYAcSRsMBnLcjK2nvNmeVx/oyqEuoVO/juNgZ2cH33zzzal1By3PPbJfr9fxhz/8Qa5kAk4M1zRNqVCFeVvg5LI5hln2UdB4+Rn6ouZwiZdJZSQSmTuxwfcZjUbodDpznVWLGi/l7t27+OCDD6T4EmYMdOjlvKvVKj7++GNsbGzg8ePHODg4QLvdxuXLl5FMJufuWSD74vu+XAVVr9flnt5yuYzz58/j/fffF9ypKUSyArrhaTAY4N69e3Me9HnS6XTwl7/8BdeuXZs7iKn7QMIRSK8lqcPZbCZ3NDMik3tmXwVviSKMJOMRjUZFf1xr5gtM8nkX9J07d6RIpO0iLM89nGVZFv72t7/hjTfewL/8y7/MEd/ctZyc7oYKGzNw7Kl5cFTX47lgrNw8K4EklKBhc7JMKDQUCGffZ8n9+/exs7ODYrE4dxRel2g5Hs6dodLzPDngyS9L4f0Y5E15S5LuPiMVlUgk8Oabb+LKlSs4d+7c3MlrriGxpe6Y+/bbb7G/v78wlACOcf6tW7fkrg5eD0Ah5iUWJ/PD12oOnL0i+sJA7VwAyJ0UnJO+f3g8HkukYgWSOJj3GvP+Oc2AnCbPLTszOfnd734HfpOSTgKAk2YOXU7UrAV/To/N3aj7ETRE4WT1uTomcBQacLvdlmqYVtb3UW6tVsNnn32GCxcuzEUZvdloWJon51F24Pj7TdbW1ubuZ2Ye4Pv+3HW3bPuMx+NyApgwhMbLrrbwhd6u66LT6eCrr76SBHZRicViaLVa+P3vfy9XRUUiJzf4hGlDRiHN7dJQiX/JEFH/hFKaz6fxkQTgc52U01BHoxHq9frc8SYmtC8EJ/TOHAwGuHPnjnRd6YIEwxwrN+GqHjcDQxEVqZto+Bpdx2ciRU/E29h938dwOJTMfGVlZe7oOxW26PEkx3Hw2Wef4ebNm+KhaByaIz6NQ6ZiyNDo8jnnw3HxClM27bD/IHyJCGEMy8wMswzj7XZbvNT3gU5Mvu/cuYNPP/10zkuGOVu9aXW1jsUe/p+GzVyEoospet30ulCnhEz8igvDMOQLfPQcX8iIAQjO8X0f9Xod/X4fT548QRAcX2lEr0kD0wageWR9MTcwf6CSP9MhnOFlNptJ8kbDtm0b9XodruuiWCzKaQomIJ7nSahfVLl7e3v45JNPcOnSJfEmXPwwFuPG1RUp9tFqTMkbi2jgvMeOSSkNggktM3KuFXskdItit9udK01/H9EGdPfuXbz77rtzd3cw59EwTONj/X/mOzpB41xp+JrT5hoAmHNkWt/NZlMSXH1Vgm6eP00WvnXDMAwcHBwIqf3w4UM4jiNhkBUeYmbiWr2L9e7UYRnAnPfhc9d10e120el0pFAwnU7lW3d4nRM3SzQaFXyaTCbnbtE5Sxiy/vSnP+Gjjz4SD6WTHj32cGKaTqdFEbpESgxJnKgTIV4BxSKO7gvRPcP8Ga991fPmWBbF/vxby7LQaDSksT0IAqyvr0v/A/WjdcS5EGKQRaJofpcGG27m4bz0cxa9iIEZlTQDovtpTpPnGrEux7ZaLfT7fWxsbGA4HOLhw4col8vyPXc0ZH19KHe/zna1wnRZmorjv/wmo06nI5iSfHE+nxe+U4erbDaLZrMpsGZRMU1TMmImWOEkS0cWiv58Ggi/p4JJHMemG4fYDK4va2QkYxsi8TQ383A4RKFQEOikE9lFhGtvmqZ8a2csFsOTJ08wnU6xuroqFxZ6nicOQmNlTb3x/Sjaa+riEGkz3ZXGs5AsUrHgRCpXF0JWVlaeIgO0LOSJuVjj8Rj1el3KhpPJBHt7e3JDJW+k5FmzcMjVRqAbYYATolsbc7PZxMHBAbrdrhi3ZVlyD7BmSgj+6UU1f73o/CzLwt7eHnq93hzjwr8hlaW9E/E+TzywUZxJSxjSaB6aRg/MH8Blls7n/Jou3hLE6qimAhcVGiC/0Wh9fR2j0UiKL+VyWXjkIAjmKD+Nb7UB02i1B9e5DQ2acInz4Ve78Upctijw9ew5Z+FIr93cmp414XDTj+M4ePLkCW7cuCH0zGQykV3Nr5Eaj8eoVCrS3BIuhoTxHE8z6JbHdruNWq0mDeXA8XWvvL6VHk1zqTQoPhbN3Ln4LJ1OJsffL0eFsemHn6eTWg036Fl5ekU36tDQNFbUn685cVJxbHrvdDqIRCKiSM/zhMng6fJFhevveR729vbw7rvvIplMYjQaicMYjUYolUrS7M5rdvVacd01bAgbL6FCEByfXO/1emi322g0Gmi32+h2u1IoKhaLc20NmsrjaekXOmOnB8qQyi/I5iIyq6Xn7Pf7cqKXfQC60sQJ6sXQYcd1XYERxISkothsrikwshzcFORjz5r0s5RrmiaazSYGgwGKxSJqtRp830e1WpXeClautAclPqSBa748jBWBp68IYKglC8PzZczWAchX2fL9CEkKhcLCdKKmzYDjhqDRaCTfKUjcTSPmeUj2zlB3wAn3z/HwfalXQiluZv3lmrQTUqOFQgHJZHKusQs4+X5B5h0v5Ikp4apVv9+XxSPWI/CezWbSy9DpdJ5aYF190u/PcEMvxEkQpqRSKSlDaw+oFw6AfGcIS7eLCj2U6x5/iWO1WoVt26jVanBdV8rimg/XcIXPySwQcmhvpb0WANmAuquv1+vJl/qwE4wGrJMtfrUDDXkR0REwCI6/ULHb7Qo0oy5c18XBwYGMpdvtChOl2QZd8KIn5kbRnWi825kemCddSqWS9FsTbuqoqsdLYz5NztQyBwucfK9YLpdDo9GQQ506S9c4ETg53qSbTPSDCqWCCQcYkpm86XNexEw6HDMRIE/L/y+KFTW08TwPh4eHeOuttxCPxyXM8vtDSKOxNwJ4+iadMI3ItdS/53g9zxPjbTQaaDQakuiQL+VhWv0+7Ef4Ps1OetOTwut2u9jc3JSIwsjKqiJhQKvVQqFQEIZCMw+cB8enu9F43KnX6wnDlE6nkc/nxYD10SdNxVmWNZcYPyuBNb4v17iUpfxnk8U5qKUs5T+pLI14Ka+9LI14Ka+9LI14Ka+9LI14Ka+9LI14Ka+9/H/KfBHJGup9+wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 20\n" ] }, { "data": { "image/png": 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mQdM0BINBwdsJh9Ib+/1+HB4eYm9vD9VqFZFIBJZlfSYK80Ih9vl8qNfrePDgAdbX13H58mXMzc0Jlkir1+12JWHJ5/Po9/vyGsREiYceHBzgz//8z7G+vo5EIiFx2fHxMVKpFNxuN05PT+FyuQSey2az2NnZgdvtxtOnT2EYBjY3N5FOpxGPxxGLxdBoNFCpVFCpVNBqtRAMBnH//n1897vffenlMnHb3d3F6uqq4J6hUAihUEgsAeNzwzDw7NkzTCYThMNhsTpES6LRKP75n/8Z2WwWly5dwq/+6q+iVquh2+3i4OBAMvTNzU1UKhWYpolsNotAIIBSqQTLshAOh7G8vIzl5WVkMhkJa2iZotEonj17Bp/Ph9u3b88kxJqmYXd3F16vF3Nzc/B6vVIk8ng8KBaL2N3dRaFQQKFQgM/nw9HRkSA/DDtCoRB0XUe320WlUsHf/d3f4Vvf+hYURUE6nRbvQ5nweDyYn5+XHCiXy4mHK5VK8Pl8WFhYwOLiIlKpFPx+v8Bt4/EYpmkCAJ48efLFhDibzUJVVWQyGcTjcdEk0zRxeHiIhw8f4ujoCJVKBalUCvv7++j1etjc3EQ0Gp0qaBiGAdu2USqVcPv2bSwsLGB5eRnVahWPHz/GvXv3UKlUxAq63W5sbm5iZ2cH+/v7UoL0+/144403cHp6ivfeew+bm5vY2trC+vo6dF1HtVp9btXrs9bBwQEmkwmWl5dhmiYsy0IymYRhGHjw4AHee+89qKqKTqeDw8NDpFIpHB4ewu/3Y3FxEX6/H51OR7yFy+VCMpnE1772NcnCGTc/fvwYlUoFfr8frVYLhmFga2sLDx48wOnpKY6OjqCqqsSaH374IdbW1nDp0iXBWqmo3OOdO3fw7W9/+6X7fPToEfL5PEKhEEajEVqtFsLhMEajEX7yk5/gxz/+sWD3R0dHiMfj2Nvbg2EY2N7eltzB4/EgHo9DVVU8ePAAW1tbWF1dRa/Xg8/nQywWQ7/fx8OHD3F6eoqtrS0MBgOUSiUsLy/j6dOn6Pf7KBQKKBaLcLvdeOutt/Do0SPEYjGB1rjfRqOByWSCjz766PML8d7eHvb39xGLxeB2u9HpdKDrOmq1Gr7//e/jyZMnMAwDyWQSjUYD9XodiqJgZWUFb7zxBlKpFHK5HCKRiGzuH//xH3HlyhVcv35dEqNIJIJMJoM7d+7AMAwsLS0hEAhgY2MDr7/+Oubn56FpGsrlMtbW1qBpGq5du4Zer4dKpYKTkxNUq1XcunULqqqi3W4LvjnL2tzcxJ/92Z8hGo0inU7DMAyEQiE8ffoU+Xweq6urWFpaQq/Xw8LCAnq9HmKxGMLhMDY2NqAoCvr9PrxeLy5duoR8Pi+xa7FYlGrk4uLiVIiUyWSwuLiIWCyG27dvI5fLYWVlBS6XS/6/XC6jVqvh6dOnuHr1KlKpFNbW1hAIBPD9738flmXh4cOHM+3zT/7kT5BOp7G9vY3j42NsbGzA5XLhzp072N/fRyqVQjqdFg7DeDyGpmmIx+O4evWq5D2ESn0+Hz744APcvn1bDJvL5RLLTmNAHH1tbQ03b96Ez+fD+++/j8FgIJ7stddeQzabhWmaePz4MS5fvoyLFy8imUyiVqshl8vhzTff/PxC/Bd/8Rc4OTnB9evX0Ww2sbS0hGq1ip2dHdRqNXzlK1/B/Pw8vF4vNjc3JcMMBAJYW1sDABiGIV+Li4v4t3/7N1y6dAnBYBDNZlOSmKWlJQSDQWiahu3tbSwtLSEUCsEwDGxsbMAwDClF67ouyaXP58OTJ08kLl9fX8fCwgLi8Tju3bs30+Vms1m88847KJfLuHLlCsLhsNTzv/3tbyMejwMAut0uNjY2cHp6KiVTQoWapiGZTMLr9aLdbiMUCqHb7UoIQFD/6tWreO+99yTBZYn84sWLIkAsZhiGgbfeegtHR0d4/PgxbNvG1tYWAoEA4vE4/uVf/gWqqqJer8+0z9/8zd/EysqKYL6Li4s4Pj6G2+3G7/7u7yIWi0llNpPJoF6vS+WNBSzGtgsLCygUClhdXUUymUSz2ZwqTW9sbODOnTtYW1tDJpPBysqKGMNr164hHo+j0+lgNBpB0zQsLCzg2rVr6Pf7eO+999But3Hx4kVsb28DAP793//9iwnx9vY24vE4DMNALBaD1+tFNpuFpmm4ffs20um01OGJELCQ4fF4RDMVRUEqlRLew4ULF6SkCZzFpLFYDK+99hru378vHI1GoyGvFQwGkUql4HK5hOtA1725uYlEIiHEIZKNmMG/bCWTSVy4cAHf+973RGD7/T62t7clCVUURfgVo9EItVpNEAmC8aqqotVqoVqtYnt7W8IZeoTxeIwbN24IDFmtVtHr9VCv16FpmpTK+fMejweapiGTyUDTNFiWJagMi0qRSAQ/+tGPZtrnH//xH2N3dxf9fh+Li4tCJFpcXEQmkxGcezweIxgMSnzOLya2hDuz2SwymYzkR16vFz6fD/1+HxsbG8hkMgLNjcdjQXZ8Ph8WFxeF+0I0IxaLCc5+cHAgyFQikZA7eN56oRD/4R/+Ie7evYtarYatrS1JmDKZDFKplODAzg0Ui0W0Wi2pbPn9fkSjUZimiVwuJxwHWjrDMFCtVtHpdPD222/jyZMnoiiapuH4+Fh4Bx6PR1AJj8eDTqeDaDSKaDSKUCiEXq8nVa79/f2ZiTFMIHZ2dnD58mWp3QeDQSHmEAqs1+sSj2qahnA4DJ/PJ4WAUqkEXdeRSqWE/MM4MhAIIBQKYWlpCblcThIlAIKVsohANIScjtXVVUE+/H4/7t69i3feeQe7u7szoxMulwsnJydSeSM8SVomAClU9Pt9WJaFWq2GdrstcN/c3JzAfp1OBxcuXBBkhcYFAILBIH7jN34Df/M3fyPxsm3bqNVqglpxn4y1+X9LS0tyd36/X7z7Z62Xlp39fr8UINLpNDY3N4U95ayXdzodSTgACIeAMJHL5YJpmtjc3BTBoCaSoWUYBm7cuIG9vT3EYjFEIhGk02lx2yyHkgBDxhTjUfIqFEVBNpvF1tbWTJdLTJYJhJOM4nK5JNlhkrq0tAQAUvBhCXw0GsGyLFy8eHGKnsoyK+Gra9euYWdnBz6fD5lMZoryOBgMpog6tECE8Yj0VKtVvPXWW7As6zOLAJ9exNtN04TP50M8HhclId7NsjCTTl3XxYioqopAIACv14uTkxP4/X7EYjExKpQJQpbr6+tYWlqCZVmYn58XAWd9gEUrejlaYZfLhWg0CuATboht259J6HqhEPd6PRiGAdM0oes6YrHYFHuq2+0KbggAiURC3DHpm4xbyZq6ceOG0Pd48QwNJpMJrl27hg8//BClUglbW1tTxG3ydIkPAxCskUA9XXqv15u52EEX/eabb4q3YGxILjT5A8SAWeEDILhxNptFNBpFPB4XoaSVHw6Hwv9dXl7G/Pw8Dg4OsLCwgGQyOUXR9Hq9U9xb7p9729vbw8rKyhSPepbFQtXR0ZEUeMgZ4bPOzc2h3+9L/DoajaSkzP0ylLhw4YJg94yZye8eDAbw+Xy4fPky7t27h8lkgrm5OcGFafxI5uJ5UdFpHDwej+QgVIKfur8XbXowGAgQ7ySts9RKLSYLzVnYIHhOa/TjH/8Y6XQayWRS+BUsJjD2sW0biUQCr732Gn7wgx8gk8lgdXUVAMRlMYZydh4QlKe7yufzuHHjxsxuFjgTxN/7vd/Dn/7pn2J7exuBQEAEh9Z0MBig3+/L+zGRtW0bp6ensCwLv/7rv45utyuXQPfs5A2rqor5+Xnouo779+9jcXFRElUAwgADILRJMsC63S62t7exurqKRqMhXmOW5fF4JLFkfuIk8LOKxvOgAjmpuN1uFx999BF0Xcf6+rrcA70jLToTwitXruDw8BD3798XuqoI38eGjgUVvq/znsm1+JVf+ZXP3NdLuROEU3Z2drCwsDBl8YBP2PlOi+G0mu12G9lsFru7u/jt3/5tiW3H47FoFsk/FOpLly6h0WjgH/7hH3D58mWsrKwgGAwKjZMCxYoh22SIx16+fBnpdBr5fH6my6Wb9Xg8+P3f/328++672NraQiaTEXIP40S2H7EUaxgGGo0GqtUqvvKVrwjxn0R4no+TLulyuSRJTSQSePLkCX70ox8hEolIUYNnSE5DJBLB1atXMTc3B7/fL2c+K5cYOBOaWCyGW7du4Yc//CHeeustLCwsyDOTGM/9EY1g2NRut5HL5VAsFvE7v/M7UkKmoCuKImw9Gjyv14u1tTWMx2O8++67SKVSiMfjkkPw53jGwCf5Qb1ex3A4xNe//nUYhoFisfj8fb1o00wsXn/9dfz93/89IpEIbt68KebfScqhNQYwxRUulUp48OCBMJHonumaqPn8HRJI0uk0Ll68iL29PTx8+FDohy6XS6iKdPOhUAhzc3PY2tpCLBYT2p6zU+RFi3E0cIYZ06WdnJxM9ZjRulCQiSj4fD5cuXJFSum0IlR2ohqkTRKCZLfC1atXkclk0Gw25Qw1TZOYc2lpSfIQnhkVj4neLIse5PXXX8dwOMTR0ZEQ+p2vw8YHvh/zhadPn8LtduNrX/savF4v+v3+VNcKz9HZG0leOT3b7u4unjx5ImfE3IYIhaZpCIVCiEQiuHz5MhYWFqBpGtrt9mfu66XtSaqqIpVK4e2338ajR49QrVbxa7/2a9LbRYvQ6XTE2miahk6ng3v37qHVamFtbQ3r6+tyKExWGDdxwwDEmrMSlkwmsb+/L7xbhg+GYUi8nUgkxIrZti1FlM8zootCbBgGVldX0el0BAOmAJBPAEBi4263i2azKXEelYzxJPkIVAyiAslkEj6fD61WC6ZpSizNJMmp6Cy/O8MSejoq8qyLZJsrV66INzk5OUE+nxeojKEhy+mJRAIej0fw+lAoJArJ+6IX5Z9UsnA4jEQiIaHD9evXYVmWkMIYyvC95ufnMT8/L7xpetoX8aZn4vCRGjk3N4fhcIiDgwMhPTNJY/DvzFLX19cFgqK2UzspGAwv6M6cLSjBYBD1eh3Ly8vY2NiQS+B7MmkiRkuLQLINrfws+3MKKwlHFBQ+LxNIJ3m+XC5jPB4jFotJ3x1dozPkMU0TnU5H6JqBQADRaBSapmF/fx8AxCoxu3f2ntGqE8Fw9jXOyifmfliw6PV6wv9YXl6WvMfZHMr7ouDxnD6NyvBumNQpioJIJIJAICDGzjRNtFotRCIRLCwsyOs4C0J+v19khSxGZx/n89ZLWWyMXfkmjM+osRReHgAfaDweo1QqoV6vS9JC68VLJg2PpHQ2fTpZVH6/H7lcDl6vVxoISRyn8JMTSziMGPWsjaIUVFp5arwTIuP3KUClUgmVSgX9fl+wU3aZlMtlaJqGRCIhZ1QqlYRzTBz86tWrWF1dxc7ODra3t0VZnM2n5Ng6z5XPxkudlYrpbB+i62bszfcl0kJl7Xa7qFarKJfLGAwGmJ+fn0KoGEczUWR3D8NDJxxq27aQ8NnQ67xLhjTE57lXnvkXbk+iIPNAKVyMiVl548Hz0nK5nADb1Ehm6iRZ01qx44PtSAT8WQ1kKxCFjWVdVriY9dNiOZONWZYzkeLvOGNh/pvhRb1eR7FYRKfTQTgchmEYQt65f/++cGrJ+mNDAYswp6enwv7L5XKo1+tydkREeP7cm3MWBatefNZZW/adyI4zD2CIxPtmzD0YDJDP56UTg4gKANTrdTQajZ96PsuyhE5AHnQymUQmk4GqqiiXywiHw+JF2AHN+yYuHA6Hp56dBuV564VCzKyV1oiWli7AacHYLkSrw41vbm5CVVUcHx+jUqlIGVLTNNFi0zSFg1wul/Hs2TMAwNraGlZWVlAulxGPx9FutwUdAc7iV8ZaFGBWEJlAzrIoqM6mTidvmMo6GAzQbDal24G4aigUEuTi+vXriMViqNVq2N/flwSKAphMJvGNb3xDKIihUAhvvvkmDMOAZVkCXRLg5/PQAPCc+Kxkec2yPg2X8XWpwDw7epxSqYRCoSAFlUAgIN0ed+7cQbFYRDQaxZUrVxCNRmFZFk5OTgBAKqClUgkejwdvvvkmQqEQSqWShBgsYDjxZWdhy4kn05I/V05fdrlOfgOtLTfuTOroikqlkrDy2bZ+9+5dPHr0CHfv3kW320U0GsWtW7dgGAaazSaKxaJgzo8fP0atVpPqGbN9t9st+LOz7YlxKnv6nBNnZo2J+VpUWu7ZOVeDB8vYlu1LDGVWV1clSa3VamJdWAyqVqsYDodIp9M4PDyEy+VCPB4XtpqmaXj8+LEIMtl4RCts24ZhGCLAfF12e3yeRVyWBoHCy4LMeDxGtVpFqVRCp9OB2+1GOp0WISwWi8I2dHZH12o1HB4eYn5+XgplN2/eRDabFQ9AiJB3QxycsuScGeLs/qCgP2+9UIj7/b5YM2fMSAFmwM4myFqthkqlIkWAxcVF+Hw+VKtVAGfAN7kPpVIJpmkin88jn89jfn5e2v2/+tWvotVqCXTGEjS7jSkgrCY5kw1eEEvFsywiK/Pz85I80cXSErDiSA4F+REclEJlsywLz549k3kVACSB63a7SCaTEucTRiMrbWFhAU+ePEGj0ZC4kI21VF4aEWKpTK5n3SeTa2dISMXnWbbbbenSoeKFw2Eh/LOLZTQaIZfLCQGeoQfx+kQiAdM0EYvFkE6nhacBQDrmAUj8S0UCMJXzABBZe956qb9tt9tTWTeFmVUl0iPJnaAbTCaTEgt//etfR7PZFLfM/rJ6vS6anc1mZUgIK4WpVAqJREIgF4LpzWYTuq6LYNASA2chBjHLWWNFckNYiXRWqmj1Op2O9JsBwMLCArxer1hlFlYY/zpfmz2Ezn64yWQi3R6maaJarYpFLhQKEroRYiI05qwgWpYlsfUsq1wuIxAISCjnHIxDj8b5IsxZnIaEiEE8Hker1cLOzo6MVmBNgfkTEZ5GoyGwIofLsIRPj8uEnW1l9LykxLLg8oWEmG6F7DEnh4ExFDdOvgI3E4lEEAqFBDVQFAWWZeH09BS7u7tiPbhxVVWxsLCAubk5AGdWI5fLSSyYSCSki9iyrKn5BM1mU7oVaKWIVHyeRevCJIIWttVqCVbZbreFL3ByciLMvmfPnkFVVeRyOeRyOSGwMLllOGRZlpwNCTAc32SaJur1ung1FgEIjbFzgkLN358VD+csCQoj9wxAlMU0TZimKaXzVColfXikx/b7fTSbTRwfH8tgk8lkIuR20kSJSuzv7wu61el0xBvpuo5isShhDY1cKBSSvjx6/+Fw+Jmx/0sJQK1WC5ZlTcUpTjfU7XYlI6U7YuGB8U6325VxVNlsFu12W7QyGAzi6tWr6PV6iEajEsA3m02Ypon9/X00m00kEgkkk0khavPZyODiofNSKXSzLBLtnXPmeLGExVjUoGI8efJEcgFyb1VVRT6fF4Vl82owGJQwaDQaoVgsCuTIZkvOGyM0aNu2sMwGgwECgYBQXmmVeLazxsSMf6mo3CM9KpWVCBPHVbEvjspKymkul5MplpyTsbCwICgTraqmacKOs21bQgyGK4QTOcKBRohzPZgffdakoxcKcbPZFC0g/OOcYklB49ATTosJBoPSj6YoCkqlkrweOwmYKHa7XQSDQUSjUYmTo9EoIpGI9NMxzmW8FQwGhRjOciYpjN1uV/78PBU7XiTdWiAQkGmMhMwIIVUqFTSbTXS7XYRCIRSLRei6Lr9PyMyyLAm7dF0Xa8xLYrhDC1Or1SR5IyH+woULMliEzZUMJ8hl+Dweh7kMPQ1dOJXUOX/Osizs7e3Bts8G5cTjcRQKBXi9XhwdHcGyLPl9Clq5XBblpYeORCJidBieFYtFtNttKXXbti2jH+gtqJysLH6hcGJnZwcXL16cqqVTUwhYE4lotVpymHt7e8LzZbhhGAay2SzK5bIMT+FQEKIKxIPb7TbS6TQACLZIRRqPxygWi5ibm5M+Ll3Xpf+OF0xC+ixrb29P3o8TMfmMfH5ajlqthlarhWw2K5N6yMxjUkSuAS0RM3XCdAwXGGpw1pppmqLgy8vLKBaLWFxc/KnLBs7CrePjY1GmWRdxfVo/KmatVhNjRPI/hx1yOhJjfScyRAVj4tXv9xEMBkXwXS4Xut0u4vE4Go0G2u22dOFwBh4NQDwelwbaSCQy5XHoMZ63Xjo8hRk+rR2rd2xZYcLmcrnEHeVyOdE6ZtR0qQDkd7rdrpDoGTt3u12oqoparTaF81J7Acgsg0QiIa3yjJNJSjFNc+apmAcHB3Ip5DfzWWgtdV3HycmJTP45PT0Vi53P5yXJ6/V6U10JDKV4IYw73W63zG5j2MXpoYuLi6LYlUpFvBDREWcVkMWdWZZpmoK8OCmsNDij0Qjz8/OCTNTrdeRyOWlXYpMD8MmYsmazKbPZONWJyVi325V5dNlsVvbK2X3MOVKpFILBIBqNBmKx2JS3YC4wHA7RbDafu68X7p4D5kh0p2Vj8sROi1gsBkVRsL+/j36/j3w+L9TKQCAgdEEC2iRVA2fuzdmCwriaA+/YwgIAhUJBaumMtTiEhH1vrHIxQfrOd77z0svl6zqrgbZty8Qf5yDAZrMpoUsikRDLUavVYNu2dHazNB+LxaSB1LIsmWWhaRquX78ucBtDkLm5OcFfgbPKmNfrRa1Wk5YlKiyH982KwhwcHCCVSglcx+SXfG4iFycnJ2g2m2g2m4I+JJNJxONx8cSlUglutxvlcnkKegXOhtGwRY3TkVhmZnjK12ETMWNfUhOq1erU3OMvnNixi8CyLCwuLgrTiFaUhYG5uTkcHx+jWCwKQaharUJV1SlryWFznMtLfJCwmaqqYrlo6Un24XKSkWj9ObvANM0pCzZrYseYi6w0jpcFINk3LQ0P9ebNm7h165Z0axPaI3eDrpYdFEQgiDEHg0E509PTU3z00UcSV7JzmMMV2drl7GpmQqiq6swx8fvvv4/NzU30ej2BLG3bRqVSQa1WkxEBfC8Slyh41WpVvCkbR1utFhKJhJxLsVhEPB6XGgOZiCRUUWHZBraxsSFlaA7hASDGicJLaPZ566WJHYFvssXY6t3v99FoNKQYQGodN26aJsLhsGCgtJChUAjlchnRaFRiT2auztAjlUpJoO/MmlVVha7rcph0V3TrzOYZVsyy2Dp+cnIiJVlFUQSxIMbLylI4HMbS0pIMEKFQUgmZQ/BsnKw95+R4LhYSGFbQbTIJ5Kxghl6dTkcGDtKKzrIKhYKMxAqHwyiXy/JMRAIIlRL/39jYwM2bNxGPxxGJRBCLxSSGNU0ThUJBngPAVDcPhTgUCmFhYQHD4RDHx8di6RnrszhCRMflcknuQU/jFPBPr5cKMXHBQCAwNaO33W6L+a9Wq+J2OWqULTQkjsdiMbnQ4+Nj0VxWZaLRqKAQJNVsbGxIxY/TYhjGPHr0SCpaLGOSQcUq4qdJJJ+1GAt3u92p7uNoNCrWmRhvp9PB4uIiVlZWhODuHBxOoJ5JExNDum1nGZUVNAAiGCy4OEfg8v85n5njcCkwFO5Z9pnP52FZlsSeHo8Huq5LMkXjwJDj9ddfx/Xr1+HxeKRyysJQt9tFOp2eoqc6aZlEGUh0p2Hwer2oVCrC++j1eqJAHM9AeaLh+MLoRDabnYpfotEofD4fcrmcuCKSWNjpMBgMsLGxgbfffhvxeBwul2uq4tNutyWmY4JBS0qrQKtMel4sFhPFIX7otMatVks4zbQgpmlKifNli25xNBoJesJnYqsN/864j+QjJzFlMBiIVaEVpREAINY5GAxKlwuTPOfwbnoe0zQxNzcnCSb3Tc9HTzarJfZ4PCgUCtKwSXiTlp+8ZioYh0cyjKTXc1b5nCVv/p1VW+YujKFZnGJ4peu6cEWcik0FYMjSbreFJP+89VLuBB+KMWyj0ZCuA1Il9/f3xdTbto2FhQVEIpGp+jdnJpBU46Q/ckSWcxMUbtb5+Z7OfjxaJsaaLEzw4PjRBC9bhG8Yx7LEywSRz0DIiK6PmDnDAAofv0/okbE5/6SVJnhPRSCZnCVf8m9Z6GCowZ/jHcya2FUqFYxGI+TzeUSjUaFBsqGAnpEeleO2GDI5B3ubpikzk6lgFEh6HnpV8kuYD1AG6vW6VB15DgxnGJqq6tnI2Be1m720PYmWwUlw7vf7U9rJiyOQzY8AIGBPuIpxjbMHj5fsbMak66LwOkk4w+EQpVJJrBOH4gGYgmDITZhlEfGgAAWDQcFFSWbqdrtTADzH0LKSROtBbJlj/tkBwoHghOI4hJDD+ZwEmF6vh2azKV3EpG0yCSM3m5DV52GxscLHyiLviUUk3iffj3tyEup5Z0yIOROPuQR/ns0O/AIwdVbj8VjujHAt8yh+PgsFnoW3562XAozsdOWb02UkEokp9hhwJjicxMOLYhuLy+US2IbEHXKO6Q4ppHwNCimbMT/NdwXOLH+1WhV3z2oYlW6W5eyiYMI5GAwEx6W3sO2z7mOOYmVVy/nJSwy/6H2IvpRKJQmT2NrOATNer1f4Ckxy3W63IDzkj3DPpDUytPo8FTueYa/XkzusVCri+Ugf5Xk0m014PB7xFgxD2CZF4js/CYAhExWEVpYlc+AT+iU9IA2cqqrS4ewsqDi57M9bLxRiHqCzzMmhJCyrUpCZbfOCSByi22SFzskIY3mTvWfcOOMhCjcnCDGZ4HvTzWiahqOjIxFAcpZntcTOkIV7dSoD5/jSStNS6LoO0zQRj8fFK7G5loNjmKywp41NrqzM8dNa/X6/lPFpWRlXOoec0FVzMs+LGig/vViSZ4zP8jyZZjQ8PJNGozH1+SQApqw/74Kxv9/vl5YtxswkQvEj2wBI0ub8MB7y0bl35gkApHj0hWJitt0An3ziJZlpjM+oJczEFUUR9+lyuaQEyaC+3W6LBjOOZsnV2RhJni0ZVwzw+dlr3BQPAPiExE4XP2sXMLuznR81QA/k5NsyNGArDWM6RVEkPmcLD3+GH13FeJAehbgow6JqtSqhWjQaxfHxsSgEOSssU/P8GX/OGk6QJklPSCGkseA9EgIsFArSTUNmWigUkhCEzEH2SVqWhWg0Kl50MBhI0UfX9SkushPp4shY4JPRaTxvJ/33C5HiWVpl/EUtZRGCCQWTAmp5Pp+XmjqFntMe+TrOTlnGm0zuOHjP7XbLVE7gE1fFoN/JwHJ2AozHY0m8ZllENwht8fkYttAS0lpRcY+PjxEOh1EoFKRhlJVHwzAwGo2kxb1Wq03NlGg0GkK6oTejMPBZnB3kjNspPPV6fWrOxyyLloxxqFN4qby09ESaJpOzATjNZlME1Ov1IhgMIvLxxxCr6tlQcH7KlWEYGAwGcoaEQAkj0pAxhiZcyNdmAs/35jl+VgL70oodg2vnMDi2rPDgaQlZRmw0GjBNc4rZTzA/FovJmFfW6+laSdLmxuiOx+OxWAW+N3u6Pm3paaH40WOzLMZowCfxPQWYAsKPaHXmATx4wnAswUajUbF0xF7puahsnU5H2rLImCOiQ6WidSNnBYAkVoxP6XlmWU4CFzFicnkZ6rCEzI8/CwaDOD09nWoG5XT709NTxONxjEYjKWowbo9Go5L48jMOGYaRtMXfI2zH4TgEFHgm3OsX6namgDED5SGwaKGqqgiZs4RJMrSzmlMqlRCNRqHrOnK5nMTVqqoinU6jUqnIsA3ycRVFkbiWcBXRDsbexFfJyWAcSVholkXhj0QiArFxsAlL40x8OP2IQk+mHj9lil6AgtnpdAQ7ZsbORK7ZbMoHLLIPj+7bmewysfP7zz4tisUNpwWfZTGWdibGRBCo/EzgSL1lguXz+STJIx5OIaXB4vM0m01BXsgl5nswNPT7/VOkdyonPQBfi+HPiwaJv3SgIAWEFqLT6UgiwniRAkTMkn8/Pj6W0Z48bDL+CfTTQpMRRSSAwsRJkkywaK1IbySWS+Fl636r1RIe88sW2VxEGFhx40HzHBivUZAY8lQqFeFO1Ot11Ot18QT9fl8I5YQPaRQASFEHgHzM2PLyslTpqKzkEodCIameft6WfSbNAMR7UXiYODM/YJJNL1Cv18X7Mj4Oh8MYj8eCGVNmKITkZlerVTSbTemYpsK43W4Ji9ixQvni950jAT6LRqB8HuL4+Tpfv4jr+cDb+Tpfr9A6F+Lz9cqvcyE+X6/8Ohfi8/XKr3MhPl+v/DoX4vP1yq//C08N5TZDGZT/AAAAAElFTkSuQmCC\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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 27\n" ] }, { "data": { "image/png": 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8xgNer9cSztSmNRWneqvaC6aCVcpSnZjgZ5nPAEgPlY0NACKs2ideLBYSWd6lH0wswG6QpmniXQQ96siNOtFCo+S/bw9B8Ks6zqR21AzDEHCmfkZtLBB/ABBjPzk5QavVEv7/detcBW9Tfdy86pXcpDpyoh4a8w8/rz6bB8avtHCGWj6XEYHvopcS+RqGIf3V2WyGJEngOM6FUbSqYO6TSlbDJX9WNVjucXtQQR3h4TkwbfDs1M8xgtCgmfYo63K5lH8juzaZTDCfz1Gv198o21vbhW+yTH6vImIKoDI96kCaWhrx55i7Cc74b1mWifIBbBwKOWxGFKaCLMtwenq60Xy/yFI9fVvR6qiOqrTXTWps//ftZzO8q89WETPfsz13Rr6eewnDUN43m83QaDTeKNtbPVhVlioUFc6wwfyocsgMp8wlwMvSi0oplUoScmlMLPpZejEMqgQID07NcXEc4+TkRNDmRbno7TJGXXy+aqwqqGHk4aACDZBnxf2rExh0HObPMAxFVhW3qGlPdZzpdCrvIB99KQUvl0vZIMdsAGx4Bg+XAjKszOdzIebb7fZGycLnqSUNpyAMw5D6kIhdHcRTgQa9nflxPB5jOBwKkXJRD9423u1OlHrYlJPnQz6AXsWaGniJW7h39blsM7I1yhTE3MyJFZ4pHSaOY/T7fUlLpmmey0Wfq+A0TTe8TT207Tkjjt2EYYjFYiEjKI7j4Pbt21Kr0dNf18ojL10qlWTYjJZNDyBnzBqcbcTlcomTkxMEQSDE/EXbhdtRgfKp3ks52elRBx3YGSKVqDqEmrbUiKjWyuyrs9YHIPIRYHGcKQgC9Pt9MTAyXZdWMMOm2p0hUmaI5oA2O0/z+VzCrjq/RCWx3qMncO6IP+v7PobDoQy9qfmeHsueLAFIHMc4PDxElmWSDi7qwQRo6lD7NuBT58Q43MChPxojqVzXdTfSGj+/XTKR5mSvmemL76dsNKrlcimtRuKR0Wh0+WZDFEVS5pTLZRlJ5fcApAFPoUejkdBnu7u7EnLH47GwPmS96GGsWykMCZMoioS9IkBRIwbDWJZlmM/n6PV6G+XIRcskkjD8LL+nMfKdnAfjRAfHlkh48DwYktVbH+pMtzo2yzqXlKiu60jTVHI1z4XhutvtIo5j2LaNcrmM+XyO0Wh0OQWzka0W7wBk0oIeNJ/PMZ/PEUWRkP0creEU4Ndff408z7G/v4+9vT00m02h/OI4lsnJ09PTjfFYAOI5am2renKapuj3+5jNZqKc1wGmN600TV+hNunBqueyjchGy2KxkGZKo9FAnucytJfnOVzXRbvdlqkTGuhqtcJiscB8PpdnsioAsDGSS7zBtHB0dLRhiHzWpRTMjXK6QLVytUbjNCCnNdROCg+g2Wyi2+3iyZMn6PV68H1fSBIOoE2nU8k7ZKVoxQy96h4YtpIkweHhodxHAl7ehrjIYouwVCptjBABEHS+Wq02DJnv8n1f2oS6rmM4HOLw8FAmLRqNBlqtlvSS6aH0vNlshsVisTHQTzaQI8U8g36/jxcvXmyM4aqVxTsrmJQYlUuLoedSULataLF7e3vSCwXOUPP+/j7yPMd8PkcYhnj27JlskvUuqbvt0kf1JGICKpY58ejoaAMBvwuKDsNQ3ktP4p6IL9RBe1YXnueh1WoJMCT7dePGDZkn59waeXziljx/ecOB5RJTIgfvGD1ZJz9+/Biz2Wzjsh/p4kspmF4CYMOiyA8TXJBq47SB53lwHGeD1Wk0GpK3eRtQ7QxxrIcK5OK7mAdVRURRBAAYj8cbg3bbZc7bFuegVeKChqzOMYdhiKIoYFmWzHpz6EDdNxVM75xMJnLthHiGNKwKHnljQe0kEWylaYqDgwNB5aqMl66D1dJIZZlI/vOAKRxRsMqzcjOu66LVaiFNU8xmM+kLq8Nl5IGpTNaRs9lMDoLvY/6tVCp48eKFkAUqE3RRJdNoVVpRvW3BEK5pmgztEzASZ9CYVV46z3MEQSDNCZ7l9qU+tktptCovzgjHSVa1dOO5UQ/vrGAVBXK9jp4k+e15ngjHXMZDY2Ffr9elQa8qUiXiGY7ZKuR0P8dZeHgkBA4ODl7ZI3/mIkvthlE2NTRz/lktYQgk2TPmuZB148RFpVIRhE1lsk5Wx16ZazlYQTnpzUdHRxsIHXjZyj2vWnirB6tcLAXjwRJY6bqOyWQiit7Z2YHjOGKpPDjmNU78qxed1Ts4zKscOKe1skXI59B7j4+PxRvUvV7Ug4luSehwH1Q+AFEAuW+2B9XOGZ/F/jb7vSp5sd2sUKMiowgZLe4/iiK8ePFiI8LweTyXSylYvd+zPaVPDrrRaKBeryNNUzx//hy//vWv4fu+oEYO36nAgBOYzG+LxQJxHAtDxTFW1tyWZckMNutRosfHjx8Len+XvLutYPU6DfdLwiIMQxl3JXNFLoD7YsjlwTNv1mo1OI6zcatBbaREUSQjugBkiJDTGgBwcnKC4XAoDB1JJhJPl/ZgeietkpbHMsJxHOzu7qLVasG2bdy7dw8HBwfodrvo9/soikLQM0EXlUMFs9QJggCDwUAU2mg00G63oWka4jiWKxr0dk3TcHR0hG+++UYiCvf6Lt7LA1KROwDJq9wvJyF938eTJ0/w29/+FvV6Xa7OMmKpXSU1Z7M0IqpOkkRCNCcmmdfZa2cV8ejRI7nvxPCsdq7OW+cqOI5jAT48CEJ7XdflNh1DbrPZxN7enlz15JWP2WwGz/NQq9XQ7/cxmUzEA1XaMUkS1Go17OzsyARhnueS/1iaMWd99dVXQjZwfxRYDWUXVTLrTd7I4DNs2xZZTdNEp9PBixcv0O/3RWmsHjgEQYBFo1UHBrvdLoIgQLvdxs2bN2Uqk1dyGMWIL3q93oZit+U7j9A5V8Gc1me+2Z7q4EwUJy+BM+RHj+YtvcFgIPeamFM5icB5JNu2pSmxu7srAIYMFkEX8/zXX3+NZ8+ebXifyiO/TXB1qVUC8BLk8fMckOPg287ODu7cuSNXWxi2iUl2dnbkORxKNAxDQJumnY3ctlotKSkpo67rkromkwm++uorafowgqpR6m2M3VuZLLIkRMXqxD7DEsEGuWP2Opl3aP3876PRSPIapxA5ekuErVJ1wMtb/mmaYjAY4E9/+pNMOagKVfHBRRWcJImgetVTSE7wHhSZNF0/m6lyHGejmzWbzdDv92VOjewYb2Uw/XQ6HZTLZZnCpCFTXl70e/DgAU5PT1+pZlQl53l++YmO+XwuFJy6SSqQ3gtszkypzW1SkWzzEf0SUBFwsAyiNau1JOnSJElwcnKCBw8eSMlA1km1atW6L7JI5gAvR4QIujhRSkMGIIrjWbBJYts29vf3ZcQWgPDqeZ7LzYssy6R+ZmQkck/TFEEQ4ODgAIeHh6/gCkYptX/937p8xmsrfBETvToByQlGVREq2cCwEwSBdEXUupOlBEsdWux2r3k4HOLPf/4z+v3+xggRBd8OYRdd3C8VSuUxYhHVEjfwqok6RsP3syeudsXUcpA5mr96gQpW+fVut4tHjx4JTav2prnUFup561wFE5bP53N5ENkqCspZZloVvZFlD7shDHe0eDV/0HrJwTIUEoTxJvwf//hH9Ho9MRw1d2578EW9F4CEdHoUvYN1/PasNL2IUxxEw8BL4ofyq1dq1VBP2dWWZBzH6PV6ePjwISaTibxT5dZVToH08aVzMAto9lvpIeqwGw+FIVm9i8N+rdoV2mas+HOMDo7jyCGnaYrFYoFut4svv/wSvV5v40C3lUvFq2zXRdZoNJK70OrYjEpacE/M+bwIzrqc8pEwASARYNuYVUPmTFqSJOj1evjDH/6A0Wi08fPqACGVzX2og/jvrGCCAipZvezEA+XNQLXFpV6ZdF1XSgnmn+3DpzDqrypgl+Tw8BAPHz7EycmJ9KVVIn4bMW+PFl1k8VaB2hNmHmbqIb2ovpcAkEqjfK87cHVqksP1lDXPc/T7fTx8+BCDwUDuPnFP24uy0smY71+3LvSL0BhK2NkhvUZY32g05GX8w5Bdr9flFjyRs8q90hvUw+V7vv32W/z+97/H6enpa+e46Plqvn8dJ/22ZZqm5HimD/UM1AYCZaNySFuy5cfme5qmG4P8wMvGi5rjV6uzG4xffPEFnj17JulBXSq2UClUDvfR8V633vp7stQrjiqTxF/MpU76M3Sw9KHVEumyhiWYYMuQ92zoBVTu7373O5ycnIhgKrBQZ5yYkwC8NlS/bTEkZ1mG0WiE1Woll7oJkBiqGaEYwjl+xF/V0Gg0Nn5/F4Giyjur1O1yucSDBw/w5MmTVxoe2+lGTUcqwL00VUmER49TeWiGUHVuyPd9KXNU8EUBVUKCDBmLeIbVIAgEaHDGigrbBhT8fnuclz970YkO1sA8dBoc8yxl5MQkz4ZezK/cD1G/asjkBFgy8UwPDw/x5ZdfSj+a8qhyqmfAr3S+1WoF3/ffrMPzBGcIYa9SRX0quUHwobbBCLioOIZmGofa92VUYO91MBjILyPhUulSLrU0Uhf3c1EP5u/OACDXN9VWJalUdeiA93Pp1WqLUh181/Wz3wZA1o5nw18uwxSktgEpp4olqHT15+I4hud5547NXv9fV674uv6N71d8XSv4iq9rBV/xda3gK76uFXzF17WCr/j6T2FFvwI9luYIAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 40\n" ] }, { "data": { "image/png": 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sra2Jo/q+L+xRv99HtVoVA97a2sLW1hbeeOMN3L9/H9FoFJ988gk8z0On08Hh4SHS6TQmkwlSqRQGg4HsJdcfCoXQ7Xaxs7MjTkpmyXEc9Ho9JJNJpNNpfP/738fh4SGePHkCx3Hwl7/8BQBw5coVqQvOk+casWma6HQ6yGazWFxclIUzerqui8PDQ3Q6HcGtb731Fmzbxo9//GOhdI6Pj2HbNg4ODuC6LhYWFgBA0j1xFBfIVERIQgzu+z4KhQJGoxFu3bqF9fV1/OMf/4Dv+3j69CkymQwsy0IsFhMFzSK9Xg/hcFiyjWma8icUCqHf7+OTTz6BYRjS9FleXkalUsGbb76JVCoFAJIZ9vb20Gg0kM1mMRgM4Pu+MB9n+dLRaCTRigUdC5u7d+8KC3D16lXcvHkTv/zlL9FsNvHJJ5+gWCwikUh8KfV0VhqNBm7cuIFSqTRFkTFbtNttfPbZZzBNE77vY2VlBbZt4+7du7hz547sydHREQaDAba2tnB0dCQQxPM8WSeAqfkY13WRSqWkSVar1WCaJmzbxq1bt6TmWFlZwZtvvonf/OY3aLfb2NraQqlUQiqVQjKZPHddzzXiSCSCRqOBzc1NKZZUcp8UEwBUKhWpbGOxmKQUYqYgCGAYhlBOhmHA9/2phoLv+zAMA5VKBe12G7ZtAzjlqpPJpHSr3nzzTYEVP/rRj/DTn/4Uruvi+PhYnsUO1yzS6/WwuLiIhYUFaa+rTY1+v4/JZIJoNIp8Pg/f97G5uYnV1VWkUinJDjRwRidmsvF4jH6/L7yn53kIh8OwLAuLi4syKDQcDoUujEaj8DwP5XIZJycnmEwmuHr1Ku7cuYNPP/0UAIQxmdWIXdfF8vIyksmkBCK1Jd7v9xEEAdLpNO7evYv9/X1sbm7i9u3bwmRYliWM1NHRkUBMOkO/3xfczDWRihuNRqjVaohEIsjlctK9s20ba2tr8o6rq6v45je/iT/96U8IhUJot9vPhYYztZ2vXbsmHgQ8awGPx2NRUiwWw4MHD+B5HizLQqPRwM7ODlqtFjzPg+/70hXL5/NTcwJse9JINzY2JHpTQcViEel0GoZhoFwuo9vtYjKZIJFI4K233sKTJ08QiUTEETRNk67WRTIcDrG2toZSqSTvw1TIjc7lctIgyOfzkur39/dh2za63a5U3nQgGjQbGuRoSRlGo1HcuHEDrVZLqDo2TZaXl1Eul7G/vy8wIwgCrKysIJlMwvM8MbzzuNPzpFAo4MaNG1IQq4UU8Wwul0M4HBaYlE6nUSgUsL29jW63i1arhU6nIwbNgpu41XVdCVx0Xl3XcffuXbTbbTFIXddRqVSwsrKCXC6HXq+HJ0+eiNEWi0W8/fbb0mQhVHlhIyZNdeXKFSlMWG2TUspkMkIHlUolJJNJ4QObzSZ83xcsqOs6isUiksmkRDZ1ms3zPEmvt27dQq1Ww3A4FGoqk8kglUrBdV1Uq1WJmLdu3cLS0pKkMZW+mUXS6TSuXbsm2YbOynRvGAaWlpYwmUwQj8fF2I+OjlCr1dBqtaTDxQGmWCwmRSLnT1THZRt6cXER9+7dE9rpLAvQ6XQEwo3HYySTScRiMaHlCEFmkc3NTaytrUnWIHTjCGwymcTS0hKA01HNjY0NTCYT7O/vS+OJHctYLIZoNIrRaISFhQUkEgnhc8nGGIYhDZ6FhQV84xvfQKfTQbvdBvBsFDUWi8G2bYTDYQmK2WwWhUIB/X5fmJsvy6wXRuJKpSIENPvoVDShAVkH8sDsvliWJfMP4XBYqCGmeyqcQJ9GMxqNUKlU8O1vfxsffPABOp0ORqORcNE0MnLH5FNZzDG6fBk5flZKpRLK5fIX1sh5WdU4mZFIq5EuY8TmcE06nRYIxIqdQvhEZ2NB+umnn6JarUo2UbG9ruvwPA+O40jQUFvws8ja2prQh9wb0oDAs64Z2/mmaUp3lrCF7x6Px2GaJjKZjBRdKqzi/rNPMBqNcP36dQDARx99hMPDQ8l2bOGzQGWjJJVKwbIsCW5fNlo7UyTmZnKzOG7HuV9+j/+G3sROVSgUkgiiaZooiQ7ATVThSjgcxpUrV2CaJra2ttBqtaRbl06n5dlcsLrBjEzqIM7zhB1HdbyQX7kW0zSnBlJCoZB06GhMakNGHfRWWR1+Xx0AIjWYTqextLSE4+NjGfrhZ3HPWSfQ6ZkhZxHy12dngrlXNFQGFeqBdGA4HJb3SqVSyGazEk3VbKNpmhgoszAhy40bN1AoFPDZZ59hb29P4BcbZlyn4ziSjYi5v8xZL6TYWDmrkUPFm0xzNBimREYfRiz1tIM6OqlSTnQMpo5YLIZKpYJkMonj42O0Wi3B3+qwjcpqqAYyqxET0nCj+bNsJbMQUwdbqEw2cagAKpQZiAbBn+c7EV7xmaZpSscrm81KB49Ow+YJcNrl454Ris0ixMLUJUdEmWm4f+pX6oqRlxw3AwiZFuqczIZ6iICwAoBASuL+ZrOJbrcrTAmz7Wg0gm3biMVikuW+UtuZxqp6Ej2NG3d2NJH/r57mYIFEDKcWIuzHA89OLLBAIA0Ui8WwtLSEXC4nLV5GYlJT3Hj+3Kx4mM9VB5H4WYwizDI0InV/zs5IA5jqMjIK8zlUJo1nNBpJ5lBndhnhiTvpCHRcNfPNCif4DurAPd+dWfEs1GFNwIivzh57nic6VQ8NsJBVZ4KJvVXIwY5fuVyWvVejLqEc8Gwk+Dy5EE6oTIQ6lK5unDooTQUxwnIzqEC1KmYnh7hLxZ7A6Zk34ipWzxwiYoQ420AgA/IiiiVbQGPhZ6nwSV2zmkWYOjnIxG4W/52aulXoc3aOmIZM/A9A9ov7y89TGR1+bxZxXXcqelIv1OvZWWEKn8OIy7VyfFRttlAvNEB1D8imqHumUpHqrDUjOb+qOP6szESxcVZYxV98MfVFVeVSOdwMYipuYKfTEerEtm20222kUil4ngfP82SGwnEcdLtd2WSmbj6Hz2fGYBRWMelFwqk5Vt4qdqUS1ciuOqk68E2eFMDUmORoNBLWhhGKEcd1XYlM7GxxnfxZDjrxucS1auSbRdg5VQtp9TiQqlO1YFRnftUI7rquREhCBzamXNeFZVmSTRzHkUjf7/ext7cnWZuMFOEO916FpM9z1Ocasa7r6PV6QmDTKFXvVyOE+j1GXiqCmzcYDNBqtWSj+PnEyuPxGK1WC4uLiyiVSrBtG3t7e0gmkwiHw/A8T/hilaU4G5VeBE64rouTkxNUKhXhmtWTCZSzxquOgDKFMrXqui5TfKSPer0eer0ejo+PEY/H0el0pAlSKpWEOgQgqbbf76Pf76NQKIghE3MSl846T1yv19FqtaZmHdQApH4Fnp1vU50ROI22DCzErOwFpNNp9Pt9wbosDtlI4bwNxxFyuZysiSSCGpzUAPJlzvpcIx6PxzLnmkwmxYjVAk9dLL/HjSXHy5ak53n4+9//jocPH2J5eRn379+H53loNpsSlR89eoQPPvhADkB2u13hJ2OxmLSSU6nUlFGdFx1nTbO6rmN3dxfXrl2TwkQ9paue/VP3hmvihBlxH09qbG9vIwgCwXxcCwvcdruNhw8fIggC3Lt3T8YV1XTMqbYgOD07yFYuR1tpVLPIzs4OGo3G1OeoEZ14WO3M0llZ01Cn3W5XMmer1UKv14NhGPK5zWYTnueJTtjQuXz5MgzDQK1Wg23b0qzhjDHpSVKLZCjUo2pn5blGXCgUZLqKMwtMKVQwRR1uJ83luq6M8bE3X6vVsL6+jlKpJN59cHCAcrksE1Ku62JnZ0eO3RNL0RlYrasZgP+vziTMCicSiYScOEilUsIucJ1qWuX7sNlg27ZM2REC2LaNzz//HPv7+1hZWcFwOBTIUq/XBc82Gg08fPhQ3oEMBx2f2YyNJXYo2a5X6atZpFar4eTkBKurqzLnQIzN9fHz1AjMmWdOmDFy0oH/+Mc/wvd9XL9+HZcuXYKmaajVamIToVAIv/vd7/DkyRN873vfQ6VSke4mmQl1JpsGS46dzqUeplXluUa8vr6Ozz77DK1WSxTKlA988dIQbjQrbg6/xGIxoV/W1taQzWZlpphEN6PN4uIivvOd7whHy4k3dqZYOLB6Z+dPxWucRZi1HbuysiIZoVgsSkRlSlOzD9fHNE/nYjHCIXOeCGeLnRRRo9EQLjkajeLBgweIxWJYWFiQbpamnZ5LYyRjBFKxKYvuF+GJFxYW0O120e/3EY/Hv0D5Ac96APwzHA7hOA5s28bJyYnAuXg8LsxEMpnE9evXhU8ejUao1+sATg8F1Gq1KS6cOJmBjmukbmnAPMlDXXylUcxKpYLj4+Op1qbKHVLBKh5m6lEPdtLT2YplZOWgUD6fn6Lz1tbW5EwZHYIbygWTqlMjMTEeo9isHbvNzU35TNu2kc/nZaBFje40RnYVSQ+y+8ioQW6cBzg5bkgulOvgYBNPHqv0ID+ffDTnEIi3efqFnzmL/NM//ZPMP2QyGQD4UhqMQUF1VhbnsVhMzlTmcjlcv35dxgb495yB4JnMmzdvIh6PY3V1FYPBAIeHh9Jd5Tp1XYdt20Ktcs9ZZ3wldiKVSuHq1asIhU7HEVVvYUQgpFCLHRoQX4SbxaYJI6o6FDSZTNDpdMSYeaEHyX9GJzoHCxN+3lke83lD1Gcll8vBNE3s7+/LOrketWFBxapQg80GFpp05tFohFarhWg0KgWO2knsdDpTjSK2z3O5HGzblkBASoqfr74b/82smPjSpUuoVqty8FaN8EzZ1CXXSWdiamebXaX+GGwcxxFakAyKOtfBn+PtQ5wXpy75LNd1ZbyA+vA876sNALFjxgEXRllVodxQ4Fn1SAzJ76ujhixUqHBSL6TJWBQRLoTDYWk1x2KxKZyl8p2M1mpRN+tgDLtR2WxWsBc5YypPXY8aqdTUy7FUYmXCIOJHx3Hged7UkXfChl6vB9M0USgU5N25fkItnhYhPDsLdS4SnqGrVqtTUZfOerbZoXYwGSTYBlehVq1Wg6ZpQlGqFBuZFHVgie+hOgghEm2L7Wi1afKVZid0XRfFqpQSo7HqucCzljOLG26wSjWxEcCUSkCfy+XkOZqmCd/KKE1j44QUF8r3Ir4j3GDUn0WKxaJgaB4lJ2blO6l7QmaB61KbD1yP4zjilCpFFQSBQAbuVxAEci6R0IB/x8OcnU4Hq6urMiTPmkJtQV8kqrEwsKhHqNQAATzr2DJSc518Jk/rMLiRJmVBz5FVzniTRw+FQshkMlIwAqenXDRNk/s/CNEIMQF8NUysjiSSOlKHd4Dpy0CA0+5Xr9dDs9mcKgbV07wciAcg4J0QhRtBuok8JBfOQpDNBJVWAyCQ50XgRLFYFKPnSRWeR1OHmIDTKGzbNprNpkQSFcowy5AOpLL4jqFQSK4bUC+bYQGjUneETpZlycmYcrksDQAqeNbh/5s3b+Lw8BDVahW9Xk8cgVmRkZXrZJBR8TehILMM51xITRLPEwKRdqPd8OQz78DgnEQoFBI4ol62w7mbs8Fkyk6ft+jl5WXE43EEQYC9vT252pQgW52noAHZto1GoyGMhoq1eOrDMAwZcmGFHY/HZY4WwFQEZzPB932USiUAkCjFSKd22F6UJ+Ym5nI52Uw6LU8UUMFBEAiRD0Cqc85Yh0IhmSPgQEs8Hhej5DuqmJTYmhGRB0Kp+Hg8jlwuJ8882+SZdZ2hUEgKzFqtJmOZdEKVcqMxUpfkgdWxgclkIuO4vMRGHQlQz/+px6F6vZ6shU0S2laj0UChUBAHYDZkcDpPnmvEvE5obW0NDx8+lA8iXlE7KeylN5tNOfkLQGYd1GM/aoOCM8dniwL+W96UQ1xIpTqOM3U8nBurtmJnVW6325V2Nm/8IYbnCQwVAzuOg/F4LIcrCZM4m6vy1LwgxHGcKY6VqV1tr7IdX6vV0Ol0kEwmUalUBEcTi5JS437NSrHx1EU6nUa9Xp9qZKjXbzEz+r6PWq02dQlOIpEQGML/ZrufE4jpdBoAhItWB3l45QPJgl6vN3UM7ejoCO12G4uLi1PZhkzGeXJhx47DyTwBzO/zRh/+PztSjuNIamRHhobKfwtAaBViMxZFfHFSZnQMRrmzl29wzE+N+DToWbEiu1i6riOfz2Nvb29qsozKpvMVCgWhkxzHkRMeNLL19XVMJhNkMhnUajVcuXIFtm0LWzEajUR5xMDMOMSGhUJBLoihIjkPfN68yixCx7csC4eHh1Otfp7KUBmmXq+Her2OUCgkV06xLnEcR/DxeDxGo9FAr9fjxeaiYzorsy1He1nU8/yg53lYXl6W/VHrq4tmYZ5rxO12W1LZ0tKS3BMGPEuvXDALFrXoIse8tLQkXq62cMfjsRRSZBf474BTfpX3k/H0BrtEPIhIz1aLTbIKs0bi3//+99jc3ES5XJYrpnq9ngw90aD57vl8XrAdU14ymUStVkO73cbVq1fhui7K5TJc18XKysoX5h5GoxEODw8xHo9RKBRkjpYpP5PJCBXHjMAGBfeb65uVD6/X60JXMjukUqmp7Mj6h5yt53nIZrMScKrVqmBbHh+jEdIAa7WaZCNCB0Z4njnkPuu6Lo0hrlGdFVcDyFcy4pOTExnQKBQKePTokSyG+EdNozRiHnrkPWKkyxhhWZQRD4/HYzkOw0KKkYDHw6PRqMxL8LQtFUk8p3LRNOZZ5P3338fHH38spzii0SgWFhbkKDrZDtVZedZP13UsLCzg2rVr0kIny7G/vw/XdfH+++8LBOIhSMM4vbkzl8vJJYu88ZIsB4soUnOknLhW1TFmkZ/97GcolUrwfR+tVkuuBNN1Xeg7XhkAQO4vDoLTwwrNZhMff/wxXNdFq9XC/fv3cXJyglKpBM/zsLCwgFQqhVqthlqthlgsht3dXZycnMg+8jTIcDiUq9HUBg+bRCw2CRVVDv6FjPgPf/gDbt26JfRXp9ORYyMqh0iPYSTly1y6dAlLS0uy+cCzSTAWbmQf1EhNSLGysoIrV66g0WhMDRGxiiekUSfX+GfWeQLgNJU3Gg0MBgM4jiO3C/GZdDT1Bh9GDMdx5ESwYRgolUoYDAbI5/MSWXhYlhcp8tZMOiDb66TOAEiTI51OS/Ql6c9Irs51zCJ//vOf5TMsy0KlUpHJPa6LPC6DUDabRa1Wk8/I5/N4/PgxdnZ2oOunpzTq9ToMw8Du7i7i8TiOj4+l7dxut7/Q6GH7+fLly3LAlE0NFpXUC+V50PC5Rvzhhx9ib29v6gDo+vq6HMqkx6pkNI2QV5Dm8/mps3CMJP1+H+12W6IMjYSpmVGXtyU2Gg2JFIz+ZC+4SEZ3RmLi7FmF1Fir1ZKrXNXbN1nwMSqwoCF3y/enM6gMBOkoOphaqLBwY1RlF4sZjpCGUZl4+Ozc70VCSpAGU61WcfPmTbnWVm1gcM2JREKYpkwmg1KpJHduPHnyRObCFxYWZH+WlpaQz+fR7XaRTCalrimXy7h9+zZWV1flkpsgCNBoNGSPCEdV3pndv6/UdmY3xvM81Ot1LCws4O7du5JmGeZ5KkLlbC3LkgOdfAHiGt/34TgOGo2GRFUarIqZuShGPhYRhBGMzADk4hFmCN/3sbOzM5NyWRSyC8a0v7+/L9h0MBhMVePsPLIRQIMjxcbChcMznLFVRxp1XZdKPpFICIQgtuc8BwBhapiKyY5wTntWIZTrdrtoNBo4PDyUwp2DOWrzg4dHx+MxMpmM3NlWqVSwv7+PnZ0dbG9vY2dnRyAYHdr3Ty9g57WwGxsbqFQqAl2Y7ag36oLNKzodi+6vxE4w2lBJvV5PRiTVjhGNk9GPP6OeGFCrYN6ow3RKnpSR3fM86Yxx9pUbSRpHdQYS6lQ2oc/f/va3mRSrNmVUrpl3B7NqJ9XHa6bU4R/gWYOA78/JPdu2pUilU3PAiewDO5T8OXUfSMPRAAlzUqkUhsMhjo6OZv7lM8yoDCq9Xk8MWR0CIjRkVI5EInKJpGmaKJfLiMfjWFpawsbGBnZ2duR6L57oYK3DPeM9d+wCMggRmrH2IORhNmI2cxzn3DVdaMTcWF4YxyjFS7LVYRhOHDFC82dVY1GHVmioTKPqz5KtYKTlYAiVSMVzvpabQH736OhoZiNW18qN7Ha7SKfTePLkidyhQTzKDhzb65xEo7Ny8o2TXyx6OdjEQowKU8crVc6XSmT6J7XF4EJ9fPTRRzOtUS2a6WymaaJarWJhYUG6btQPIRtxMpkYOisNMpFIoFAooNfrCdVK2MVfr8DMyqYQGRcOEdGpqD/OlfOdhsMhdnd3z13XheU7IyY9wvM8tNttHB0dyV2xameO1A0Pf9Lr+BnszHE+Qe2LMxXTk4mvmeLJfHDhxI9qUcJI//Tp05nhxNk5EJ53KxQKknIZDRkV+v0+Go3GVMeR2UftLvFd2dih8rlnLOzU34NCx+c8Bc+t8axer9dDNBpFs9lEvV6XI00vIsxoiUQCjUYD29vbsgbCQraceapGbYTQ6QaDgcAcBhR24Zh5qVuyL5wtoWOqTkIHI+3KrNBut/Hhhx+eu5bnGvF5GISMQL1eF1qMkYQTaJ1OR64mUl9ehR3tdlsMg5EVgFyszO4cozWH6wlFiHt5IyexJH/3BccfZxGVuqEBsfO4uLiIx48fQ9M0KV4YESlst7OLRYjEO4A5N8KihbidhSQvlGYni7yrrus4ODiYKnai0agomBH6RQtYCi8Jz+VyMpeRTqclcKiM0tnTy9wncsb81Q38/RwswLvdLjKZjNBm/L56vo+OzwDC7ixwWut0Oh0cHBxgf3//3HVcGInplSy+2C+vVqvY399HpVKZGvJRj6vT43gfGb1NTU2ckSWHzJSnYnGeKet0OlO4DcDUKdpWq4VqtSpRedbbItUUS8fiDAiPUvGyu7PP5/u1Wi1xakYsDrfwVz+wGqfBn71whewOCxq+mzpSysEo27Zlwo13m10kNAzSmbwfOJfL4fj4GDs7O7h69ap0ZxklGYwIndSBI3V2g79jg80mGj4z8ng8nvotAmfZFbI5pmnKRYT9fl8uXGd7+qw814hVuoWbQK/n1Z5kIBgRmF6JjdiaVI9es7JmFGYBwEEUFXcyaqkdPvV7pmlKq5YzB2tra1M3as4iajTmLMPh4aFEJ9u28ejRIxlgsixLqmoOsXOtHFnkDAiH3dXhb2JF9WQGoy3HOenMTMeEahx/5FzFrJeJU6fAs5ubGo0GKpUKSqUSjo6OkM1mkc/nZWSSMxM0KDayyMawRtF1XdbDfWHHk0NU6gkUQinWFcTaw+FQrjIIhULyC4g4dH+eXBiJGfaZPhgJOB64tbUllS0A6eTRCHmei4ZCrKUOAfH6JmJi4kXyqSxmgGdXXaknH+gwzWZTjt30er2povIiUSMx8TivFjCM0zuTeSs+eWzeAE82gTe8s+tHBoXGQ6zMiK0OLjFYsJhVxzGZ5XhZSb/fl0qf659VuO/MFqRQs9ksbNvG9va2pHOVneKUHfeEN+jTaAn/OGWoYmbe18xf+6Y2auiEjO40ahbFrVZLKLkvGzm9kCdWDYFshG3bKBaLKJfL2Nvbw+effy4Tb6RT1M6LOktMAyfZTwdhgabrupxq4IYz+vPfExuqv42HsCWZTMrA+ovwp2eHwdneVoeOlpeX5dg915FOp2Wk0fM8mYhjFiNuZXpV5zFYkKoGzOjEA6iM3CqMyGQy0rpmE2TWNfIP/5/6Mk0TxWIRjx8/RqvVEjzPe9NCodMzc2w+Ac+ONbEh5Lqu3JDJjMSAwAJWZZ5YH/B71LHruoKth8OhTAt+ZZ6Yoho0uWDeas7rSMkW8FQEuWUS91QIuzH0rk6nI17KSShiTla8Ko9Ko6IRe54n0TGZTGJ/f/+FUiwVMrUx4bB0qojPyI9yWo+RlRW0el6M70ojJvyhcaowgobIVMpoxVTuOI7MOkSjUWQyGTkX+KLrPCt8P2JRy7Kws7Mja2BEZuYAIFfWknNmliHzxK4n5zsIz4BnbBfxL4MHz9Oxs0l9kxTgSaHzRJt1XHEuc/nXKrPn27nM5V+pzI14Lq+9zI14Lq+9zI14Lq+9zI14Lq+9zI14Lq+9/G+uKn9+MCeU5wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 46\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 47\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 48\n" ] }, { "data": { "image/png": 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NZpVKpZRIJDQYDCwETiQSKpVKqlQqhsjuEvo/ffpUq9VKjUbDsASPCfR6PYvwiN6k+zwZRzEej1Uul1Uul3V4eKhYLKbJZGJA2Hg8tj1Zr9dqNBrmSV+8eKF6va5/+Id/0M3NjZLJpBnwfr9vepVOp5VOp5XP55XJZBSNRjeivG3aqc6aTqeVSCTM8rPBX3zxhc7PzxUMBq1nFXQ4FosZQhaLxWzDyfnYgHA4bDF9OBxWr9fT27dvNZ1OdXR0pF/96lfqdruaTCb63e9+p5ubG6VSKR0eHmo+n6vX6ymVSllHDkKcTCZ3LmmkUinN53PLYwAJqtWqIbOUEiaTiQKBgIXEmUxG4/HY8r/ZbKajoyMdHBzo8PDQwqtgMKjBYGCodTqdVqvVUrVaVT6f17fffqtXr15ptVqpWq3q/Pxcv/71ry1Um0wmSiaTKpVKKpfLyufzG7XuXQjgCMOUSCQsbwSLyOfzSiaTqlarGgwGisViKpVKKhaLqlarFpY3m03F43F98803Oj8/Vz6f12q1Uj6fN8NElMU+LZdL/cmf/IkGg4FOTk7U6/VUKBT01VdfaTabqdvtarVaqVKp6Ne//rVKpZLC4bB10tFo8BB5b59Op7VYLDQYDLRerzUajRQMBvXNN98oEonot7/9rVqtluWTuVzOogrktlwuq1AoGJiJQsfjcS2XSwO/3rx5Y57566+/1tOnT7Ver3VxcaFYLKZnz56pWCxaGJ5IJHR4eKjDw0OVSiWLwn5yGIzVwQKw4clkUvF43G72q1/9yhJ5WrsId7LZrHK5nOVxhCaARCTd1BCxLljbUCikfD6vL7/8UsVi0TzS2dmZeWFJJshYKcpNu1ClUrEcCqsL4tlut5VOp/XHf/zH+uGHH3RxcaFut6uzszOdnZ0pEono4uJCkUhEiUTCoPlMJmM5ZiQS0Xw+V7/ft8+9EkynUwWDQT179sw8USaTsefKZrPmgZ8/f25riZXeVVlZn/V6rWQyqZOTEwulyRkJzWq1mrrdrqLRqI6OjjYaR8jjgsGghcVECaFQSKenpwYM+frtYDBQKpUyEAd5wTudnJwoEAioUCjo5OTEIgxvsB6jWCymg4MDK82Q0njHUyqVVCgUFI1G1ev1DOFfr9dqNpuaTqeGu/iBDlKCdDptnp7o7fz8XJlMRtPpVN1uV7FYTF9++aWePHliz5JMJm1tQqGQyuWygaag/A81fuwEMPFQ5IvE8fl8XsFgUE+ePNHBwYHlcZPJRPV6XfF4XMfHx8rn8z+CwSWZgiaTyY2iOgjzfD5Xu91WOBxWpVLR8fGxKbBH6qgFEgF8TDOEdBdBYDVzudxGnnp0dKRisahcLqc//MM/VLFYVLfb1dOnT1UulzWbzQzMIMSkBOBD8Xg8vgHIALShLO122xSDMBXjls/nbcOz2ewGghgMBndW1oODA1ubRCKhcrlspbZisajVaqVkMqlIJKJ8Pm/lMerXxWJRo9HI9pnf82WQcDisVCplz4w80HlFuQYFAGRBgMEAfGcbYf4u9XMmxKS79IZUKpVKbSgm3o7cFoQcUBCU/30GHx4pZYEQR6NRA2MJ+3E6OCJ4jkajSqVS5qGJGn5yndW3/IVCIZVKJaXTaTWbTfMe/E48HjeQZrVaGaBULpc3HoDFZ5rECy8LEYlE1Ov1LG8C3KIGBuABOEGeTJjHPXbN5brdrhkSLGqpVFKpVLJeYRb4q6++0nw+t/AHoId8a3sjWUcMEwKNpQ6Hw2q1WhudNZSjfOtmOBxWMpmUtNlD+r6RrQ/Rl19+abk3qQIIZTabVbfb/ZGwEGWAgk8mE1MuSnIYNz+tg4ASQRG2A2B1Oh1DaBFccvdUKiXpvk6L599FWWu1moXfAJsgsPV63WSONcRYAjKB/NL0gkzTFgm+4WvqksyZDQYD9Xo9Q9apLcMnMoBRfF/TxYdoJ2UFvSWul2SlHFA8X1Jg4QGgfA8oDCNghADcKxqNqlAoqFAomACPRiN7BjYRaJ9OKcJePPcufaS2CP9WNwwEAkokEsrn85YbVqtVey6el7yPsJm/pzGDqEC673n2KDIKBgJZLpcNBEFhuRe1bIAz1s+v5a6eFU84Go0sRE0kEhYSXl1dGWLKvmIAEX4fihJ98D1f6dqBb4wmXg7Mw3tYjBFG368D19wlDH79+rVKpZKOj4835JFyUKfTMVlEqXEYeH4/cunzZC/HPnrDsMZiMWWzWR0fH1v76HanGGsKwLrdf/xQXr5T6YaOjUgkYsXibre74fW8sGJ9J5PJj9rktvtC8WhsKA8OUJXP500g/UJ5RfETPj5J37Wkkc1mlclkzKvhLZPJpKbTqTWE+EjAD9/zfL75YTQaqVwuW5jqW9V8a58kU1gMFJ9jjHxjAgbS96bu6llZu0gkYpENe3dycqJsNmt1Vp6BDjH2DR6k+wYBACvW3vfc8nuME5LbkyN6QcWI+bVkPQGtHqNWq6VAIGCovHQftmYyGY1GIysLSrK9Xq/XhtH4Z0JWfV8zPEn3kYdfX2THOyZf8kR+vdNiXR/ayweVdVvYuVkul9PR0ZE1SPiBbcooXjh9gwJ/w6ZOp1MLPWDKN6jDvG9V5Nm2BwV8Y8T7nv9D9Pz5c7OCksxbE86WSqWNBm/a0Qj5RqOR9Q+zKQgxuanvCaY5Ae8ITxg8n6fxPJ4/Twj3LoTARSIRq3HjWeLxuIrFohkXapXU072X4Jno7KFdk79hn327JXuKovuavR/Y8J7Yz6WSEj1GgFLT6dRQfloMMf4oEdNUkiyC87PCPAtySV3a1+M9DrM9Vuh7jL1z8ukNa8U+PrSXO9U2eHBc+zY4QHzvR+A8YMTvbcfnPozjGj4s8puLgLC4XhGxbvwuirGrxzk4ONB6vda7d+9M4PDcBwcHOjg4sMXk/1Cq4XBoysUmSzIgBaQTQfdTKtsbzHpBCMv25vp1oyi/C4Fsx+NxNRoNDQaDDbyAHBPD61vjfN7IOoTDYVNWmi088IWR4trsITz4TjAUlPVFuGnPpJ30MeKZ+v2+Dg4ONJlM1O/3LR0jIvFH0RA1kpKxV+zNNjCKbFGbBc/wf4OM+7zUdwRKmxEKXV+Uqd7L20OMe4XgYnhRD5h4JfIIGSEy+R7e0B+9wcNSA6Pc4ZXUK4G/hw+vfa7Kgu8qxLS80ddJ7ydpgD+DiXCURfcTFNwPkMvnntL96RnkXqwbRsoPH3gPxmYi4J6/7bzqIfqXf/kXnZ2dWbjLSRG+uE/45vfeRzv0h6/Xa4suMBx+aMOHsHzvlZJ7wI/3WN7LeGOwCw5BI4Rv+2M/mcAhBIc3f12MA+vCWhPaemSayAKPTMqyLavsrccutsFP9OshEO1BZUXIuBDIKFaVHBXP5nM2wAMUmjKFX4BtuJoGBCwPwJW0eToCC0Ddj+v4sPJjlBXFTyaTajQa1txBi510jw4iuCy2bzwn6qC8xLMAKuCBWQ+ej7yQ399Gz3k+n8vhVQnNdqF6vW4KSikI78A9tidGeGa8Kn29GDLQVA/asGag5ovFQs1m05QPYMcbJzwVfPnOJ8CmXfhk7WjyoOY/m80Uj8ctDeAZeW7uD/jm2yDZM9IFogj4RzcAQn0fPA4Lj4t+sPfIqTdKH6Kd2g1DoZD6/f6GNyTp96NStOj1ej0TUkAD75H9gWSgklhtZjtHo5EV332zNX/D88EoC+//7YIewgs9ogwp+LoYhscbFe95lsulTQj5MJ6QlzzX96xy3W63a8rCeiEcPodjbVhLP/SwK/INetvtdg1wwZP4Z0TAWJv5fG4N+YPBYKNei+dnjagAoJjSZlXBy4YvcXmQDoNNCMsc7i776aO1er2+0UWF90Yh+X26nBqNhubzuUUIOIPhcLhR95ZkuAuyQIqILPhOPl9vR0/oBPSh/r9LWVlkBB8hoetkGxEbDAaqVquGyLF5bDqhiHR3cmKr1bK2LkJnbxEjkYgxTg0M60QIulqtfqSwPkTchW5v714GRh1zNBqZdafRAYGBvHejET+dTm+ExYAjeGnCe99kThE9HA5rNBrZqB1C7Gt7eBh6U30jxq7kkejBYGCGCc9F7zbCRedVp9NRo9GwZ6FRBuUmd/fKS3sqJQnaAIfDoW5ubqxMhneGH/JwvBV7QSvgY/xJdzLZ6XSsf9sfhke9mIgIQ1Sr1RQMBg11RhG9AR8MBrq9vVWz2ZR0X3qkNZPupna7rU6nY222HkQlUiFV8iN3/26AiVgfhSXcIxyi++P29lbVatUmJGg2oAmcDZhMJrq+vra8gvqmH8lKJBLKZDLq9/tqtVoKh8PW9E1PMcrqIXB+/pjw8OXLlxqPxzo6OjLLjmHCu5JfeRACz1iv1zf6nX3oitDiGXq9njUfsFGkExTUfaslgk5qgSJgIHYF0SC8OFEQbaK5XG4DHfZIL33PoVDIJoBotic8xNgg7JeXl9aamUwmdXBwIEmWF4/HY9VqNQ0GA+sB5sABj4/wM5/twh9fF4uFbm9vLUJDzkjjiOaazaZub29tPem2olTn677NZtPaTvv9viKRiA4PD611kDLRarXSzc2NBoOBdcAhr3hV6X6uexfnsnO7oXRXwyI5Jwcg3BuPx7q5uTHvMBgMdHl5aUp5enpqnqvX6+ndu3eqVqsWemQyGZ2fn+vZs2c6PT01I1AsFrVcLnVzc2ON3/TXSvdnACH8PufZtaTR6/X03XffqVarSbpr/qARXZIpznK5tFyH5v12u22hHQrAGUmEkpSyarWaDSPM53NrvJBkgsHUChY5FAqZhybfoZTCz7vy6XN6jFI4HDYjSl833TUIEp1dhObX19emsKenp/rqq6+sxW+5XKpWq+lf//VfdXFxIUn6+uuvLWcHmMnn85Kkm5sbLRYLGwQgh0R4vSf/mDZSjNJ8Ptft7a2lOLSpIseTyUTNZlPD4dAmyJrNpm5ubvTu3Tu1Wi0dHByYnN/c3OjNmzfqdDpW2iqVSjbuR04MiPfu3TuLDnK5nPEFr8gp0eBP9qzbxd7hcKhWqyVJNjkASIHbZyCbHAzrcnNzYyFeIBCwpu7T01MLCen/9f2SgcDdCQXz+VzX19c2CSPd98X6Esd2d88uFAzenWJ4e3tr4Wej0dB6vVY6nbaRNqZUCPvIMwAxGo2Geap6va6vv/7ahHI8Huvi4kKvXr1Su902vjBg2/eo1+vWrOGVknQC47Br9AB5FBajhgfz++n7l/H8RD2AKs1mU71eT/V6XcfHxxZOt9ttjUYjnZ6e2igdITP3Jmc9PDw0ZfFvB/ANBbvWy/k7vlLTZtifejDzsch0r9ez8JiI7vb2Vjc3N5rNZtYjjMGOxWL65ptvlM/nraWWKIMQl57uUCikd+/eWYuuP4uZffUR2UO0E8DE94vFwk7pTyaTGyGKBw7IVwuFguUhxPicd8MJCwxTIygous9HA4GAisWi1uu1qtWqms2meYDtVkYfSuyqrJ4ANnhtg6+X8nU2m9kguq/brddrC3N7vZ4ajYYqlcqPgKsvv/xSuVxOJycnSqVSG2WoeDyuUqmkRqNhSs2a+jrf+5oIHiMv9L5WK8nCaoTH966igNwzHo+rXC6bkHU6HctBM5mMCoWCnj9/rkKhYCdceGMjyeZnAboAj0CIPTL+McfYbNcwSTUwrLPZzPJKjM42cJjJZGyGVZKdpnF4eKhsNqt8Pq9KpaJcLmddbNx7GxXPZrN68uSJIfFUFbjfdvPFT+5g8uSL1Bx4Re3PC5o/mS6ZTKpQKBigEgjcNVYzwsQZRtls1pjDegFqeRSOnKBer9uUCqANnsa3uu1qkQmx+Bs21edP8XjcEG0AGu5NMTyXyxlvy+XSzudhWqZQKNiGUz4hlwUVp8G+UqmY56KzyCus39iPNUpe6QkN/YkHHqzjYAHCdHgul8sWRpJL5vN5HR8f6/z8XOVy2dr4yPUJ5weDgd6+fat6va5nz57p7OzMRjDBRzyACDC0C71PETC4XjZ87zJdaHweiURsyB/lSyaTG4P2+Xxe6XTaaquS7LnJe9vttskOp0cQOvOsPN8ue/hR7YaSTCEoGfjjUwAkCIWZ1ECR0+m0WVpJhtQBQIGaeljbF4tR3lwuZwPp6XTahNiXkFjkXckrt88d8LCEo+Tp8AUKKsmAFA8MTadTlctlnZyc2PEvADg0h/B7oM6j0cigf9r8vHD56IHcc1fyYSJC5Q8LkGQTKKFQSJ1OR99//72CwaBOT083Rt+YqR2Px3aEDzwSZq/X9286YJKKKMw39ZdKpY16NfLFAWe7nvrh+duOROiJ9kqI8+FkDmavUUhJNrbHCZgMHPihDF8HBpCq1Wp6/fq1isWinj59alEUxp2IgXD9sbRmJ2X1cDjwPlYZa0QNbzwe25weUDbWynsTHzL72pjvSuIzco6LiwslEgmdnJyYJWZTeDYU/GNpu+5GEwdCg9ejhuhDZHKRUOhuoJiyFiHswcGBTc5gmPyaooCcR/Xdd98pn8/r2bNnNobojRFemJD9p/Ip3b/fh/Xkc/ZusVjod7/7nd68eaP5fK5CoWCnMFCHxOuSBuBR8Bj+oLtkMqlnz57p+fPndsAcMsTv+h7dyWSykU49Rn7vfRsnnUt4PtoE6ZOu1Wo2h0zuirMBS+D67Xbb9oCSIxEGpaBWq2WnpwCgUvL0VQyel719CPHeKWf19VQssg8b/ekQ9JwSMvvchx5N4HDugaBzfZ+joKjNZlP1el3FYlGBQMBCErw7QoPyeiPwMeRLLuQ2hMTkUDSJ1Go1LRYLOymBVkmQTUmWx4Fk0ucKuEA+NZlMDKQDvOt0OlbG8b9P6YGWQQCgx8j37XoCYAEEYnyNkcgXL15YdPPq1SsNBgPLrYPBoJW9bm9vNR6PTSBRWl5jcXZ2pi+++EJPnjyx8gaGy/fGEi5yzhH1zV32c3voAYUFTPMjmzRMdDodvXnzxnoEiGoA/yRtdD2hwKvVys50oowH6p/JZPTtt9/q6dOn1mftFZVIEeX0lYwP0c5h8Ha3BrkoYQUDw/V63UoyCDazmCCLHvXjWJd+v28CQjE9GAyqWq1qNpupUqno22+/tWFiFpBFIwSH+Y8ZyoY/r+jD4VDFYtGQQ67F869WK71+/Vpv377V8fGxzs7ODGzwDe6cbofVJOxF+VFO8rJnz57pz/7sz8xogMqykT6nRKjxio+Rb3KRNssb7XbbwldOk2Qw/dmzZ/Z7IPuclRuNRu0rRgVw8fDw0IAZvDHHmEr3WAHf+zIGrZScMrhrXu4dDDILgTjTlTSZTGz+tNvt6t27dxoOh3r58qVms5nOz8/Nq3NwGorOaSb0AACiFQoF/dEf/ZFOT091fHysVCq1YSQpk3GelwcJaUD5EO0cBvtw04eJnNyXyWRULpd1fn5uwl6tVtVut3V4eKiTkxMtFgul02kdHh4qlUrZ0aKpVEo3Nze6vb21eh5hC+cPn5ycWF7jUVjvcahFosC7Kuu2UQL5Hg6HlrdgmFAgXtT75s0bvXr1ymqKuVzOivCNRkNPnjzZ6LpiprJarVpZKBaL6eTkRE+fPtXTp0+Vy+U20FBCVZQT44QX85M6j5Evx3m+aWjI5XJaLBZ2pGoul7MD7VAijtQknKQkkkqldHJyYmULzhfyWAKexQ8n+HAZoKvf7xvGgfH2PdMfIt8i6/M/gLzhcKhkMmk5dCaTUalU0vPnz60OWiwWdXl5aUrGkTwnJyeS7g5e4MA88luwE07fwAn5Lj7W3TsWjDIVBt7c+D7aqc7qFwFhxprSqcTwNPnLZDJRPp9XtVo1oSDswML6Pl4OVqMkwHWY8vdTEFwPpslzyBMlbbQg7rLB2wobCoXUbrcN/QM0GAwGdtbTF198oclkotvbW7XbbaspcyjXzc2Nzs/PrWB+fX2tTCZjjd4oNmBGoVAwEEK6H/6ndc4PptNlhULsQj718P3H/B/dVKFQSMPhUI1Gw7wr79xZLpemQACJ/D1lF3J4QsdtLMJHCRglHACAjyR7uwF7vgtg6BsoMAweGeYcJumufFQqlawOzKFv5XJZX3zxhRmXQCBgwCJ5bigUskYeDrSjzAjvrDWGbjuyQdboJyaN+BDt3BvMhX3tq9/vK5/P2+vk8/m8jo6OzBsUCgUdHx/f3ejfrD+gEhMZIGNHR0f2SnlCPTbdt/lJ98V5nmNb2Xynzy60HS6xyLPZzDpYYrG7Fyx3Oh077pKunbOzM2tk6PV6PzI0fKU1jdMCfa8wx5oQQvvwHrDFd/h0Oh2Fw2GbgvoYPn39nJ/hP51Oq9FoKBqNql6vK5VKWXOIH6PzgwUgo17x6dryeal0PzTBka7gGURGHL6NHG0PAzxGrAUKuw2STiYTtVotFQoFa97ntEVKj3hGj8dQovG8ADzRSOLBP+leDgGgMBykQEQbGPxWq2Udbe+jnT0rDPu6qreutVpNhUJBBwcHduofArpYLDZOHSfhhmE/Vsb0B16SpB6BlWShEkfHUCvjGVmQhwZ5t/ncttoYCwYJOGGAg6I52IszfMlrOHEd44LB4ehRIgRyfH9qBh7Pt6R5j0NJiXzn7OzMOnQ+lk/u5XMm9gwD3O/31Wg0bO8YuPdIPs+0jVJTlvIK5/kBv6CMAmKMwHKcj+/x3sWzeqXeNsJ4uV6vp2Dw7tCyer2uXC6nw8NDq2AAeNEoQg8ATsH3H7P2YAu+3u9LkDwb5RmMMO2OrVbLDgP/EO2U7PgQBCvspw0kWRcLm+oPh+I1A0DdXJOFJWThd/zpBb6dcLvf1xsP6f61G8vl0t49sgs9ltvixWiMwNvSjQWy6BvgCSf9LCM80zXjw1zpPoQjl2EdCPfJzfHu/tiSXffRh4Seb990QdN9q9VSo9GwBgBJ1nCPDBDheKSUyAeQz/PO/vtDBkajkTqdjmq12sbp9dJ977f0+JvBt38HY4TM+gjMH+Zdq9UM9CJ6YKjEp2q+CuL3BsMKf/xM5OGHQTBWRBetVktXV1daLpcqlUoPIvsPKqu3iH5TvXXB0i+XS11fX9shzrQN+hP5vNVDMRHa7W6c7WIzC4eAeNQPJcaqUedi9O0xwotul6og35USDt+9l9a/GYy+UGrJHs2Gd79+vpEEIfIKSZ8uzwMyOhwOdXt7q2AwaGc4+zz2MULQtvdUun+t52w2s26r9XptuTglpO1jfAjnfYM8oS28A4yxd/60DZDoy8tLLZdL62bCcHhHsQuQ5gE0/xl77OUMo1ev1w1H4KQMFBKDQjrG9ZAXHMR22O1BWPabAQzmdBuNhi4vLzWdTnV2drYxoPI+2klZvTf0nRreIzCdweHeWNpAIGDtgpzS56fm2RRCAq7voXesF4LO3yME/CNRp6F+V8/6ocTfeyAGs+ETNBelg59Q6O50DL73Z/LQieQbvj1YJsn4ZM0IBcfjsb0j5uTkROv1/YFxu6Le/igSeGSPksmk/vEf/1HPnj0zj59KpWz0EZSTDh9mRDE2HAdL4wvrAtJLHs+1qdu2Wi1dXl5ardYrqqf1em3I/EPkDaP3pD6SYG+pYrC2uVzODC+RgMcWyF+JBPnee1wiC3rXkQHqxqRR1Wp14zUxnK/9k5sithdL2hRozzxWudFoWIMzyfh2uOub/fkMa8zPXlmkzcO8EGI8DqWNXq9n4039ft/OOH6M8Gzv49fzWCqVdHV1ZUJGAZ3Cva8Hwpu3zqDKvj7MmvqZWd+DC1+1Wk2tVsta+lhzSTs3RWwLLACKJP3zP/+zTU2x3qvVyloeLy8vDRDkTQw8hx9JxNPAC56Y+wKg4dmurq7UaDTsUHXugSHnOre3twboPbaX0Pae+moB6wewRMjvXwROWYn1AJ8ht0WufdOMN6AYnUDgbsqMnPz6+lrff/+9taIWCgXlcjlrrvgQ7dTB9D6rtG1NOAlguVxavZSFkGQbiKXxx154QIYNZyEQ4m0PBvP+DW83Nzcb85GlUunRzfW0XSLY9uzh8N1b3OjS4g1h/sxkPCKCAXhGVOHrjngXABmPB7Cm7XZb1WrVQrWDgwOl02lrIvHA2y78+fwtGLybF3758qXN2Po0hHIGI5AvX77c8MY+70Y+fA5NeoMXojXS52pv3761E/v9IenbCD/v3dmFR8iHptvGX7o/sK5Sqejq6krX19dWPgTNx7BwPZ4NmSVqAlfxr28hrZlO786evr6+1sXFhd6+favFYqHj42OVSiUdHh5uRCMfop08KygiysvPfjrDt2+hSOFw2OqKbCKWGIH2XpV7EEZ4wfahG5vNHGSr1dLNzY3q9bq1+/EKjF2IzdhWVh+OYTBoQazVaqrValYcxyNQfkEw/cmIvgHeCzcIOGuCEnc6HVWrVdVqNYXDYctriE58I/guBG/cjxcKx2IxG/KnH5gIh3yUOux3332n8Xisp0+f2gicb/VEQD2+wDOC4hMpXF1dWVmISMzLHHtAPXmXPmi/l15RudZ26L9YLGz6i/5zf1gasulfig2f/kwxjJFv1sGpdLtdXV9f6+3bt7q+vjYDUSwW7V1D5OMPDSw8qKwAF9uWbrvUwOYTJiwWCzUaDQsXyPmk+zfT+YFmUGKPKkr60WYjxBzDUa/X1e/3dXl5aWfgMBDM29Z3oQ9ZXr4n9yCsTyQStrmXl5fWrUL3FYrgTztgMzyYBSDlQyiMFecCXV1daT6f2zCAP/DcG5JdKBQKmVHwe+WbASi1+R5bH84OBgO9efNGw+FQZ2dnFgovl0t7NpSXoQ96oeGL85yIVPy5U6yRB2qWy6Uh37vs5fvWxH/OHnW7XWsXJOduNpsbb3rAGMEfYb4vH/r/8+OV3W5X7XZb9Xpdr1+/NjyHCZ5cLmdG3gONH6Kdh8+3hdgjdVgovAf9ovV63cI/aTMUJuz1ddJIJLKRk+LB6eUcjUYmxDc3N9Z4vVwurRsomUzaCQsPIWsf2uht3piyqVarevHihS0mUxn9fl+vXr1SIBCw1kIiDF+GIXwnt0PxyVMwjNPpVJ1OR61WS2/fvtVoNLIowZ8ygMJ/DMDEyQX+ILdg8K7FkBEx6R6Jp1ZKHk1JYzAY6OLiQo1GQ+VyeeNIWj9+Rvsn4KE/RC2ZTFqe5g+IQ2D996vV3YuxdvGsyKzvXvI1+MVioUqlolqtpu+++05/+qd/ujFHvFgs9OrVKzO02WxW0n006dMOnJDHX1BkJqhub2/1ww8/qNVqKZ/P24ghpTffAbbdsLJNH52z8jOgCAL0ww8/6MWLF+YdmIUkR+ItYngUf4wmXpECvw9fQJqHw6GVZDjehQOrisWiHbhGSOOHBR6jbdAFhSXkff36tfHmmwP4OhgM9OrVK02nU52fn1sPMCAYs6IU+Amv8CT+tA3C+ouLC93c3NixKKlUyvJaD75Iu70KUbqby/Sn29PUAmCEgcSQgmx7r0R4x/t3O53OxumIENNB7DnXlWRehRdf+5Y8QksPzkAf0wO9jT3w96FQSMViUf/0T/+08RZ7QEI86dXVlQ0SAAwSAficlD2BT0o27COAZKVSsVNDSKd8S6LHZD5EOzfy+6IyFyyVSnr37p1++OEHO6qFUg0KeXNzYx1FLDZ5giSbiaSkgyD7Eg4N2K1WS7VazeqnmUzGgAlCF/qIfQPGLhvrablcWiP6b37zG0UiEX377bcmVGysP2d3OBzq1atXms1mOjk5UaFQsKNgEHrPE+sE+geyzegdY2vw50Erz9d2w/pDxFE07CWlKEl68eKFDdr7cNR7Sp7fG24a0AG7fGMHew1CSo7MdbzB2a5demV9SIDfR6yP97JMxuAIOE7Gz7cGAgGrFS8WC0uzMJQAUiisP4kfJcVA05Qfi8V0enqqYrFoxxD5sJd19Wv+Ifqo4XM8DkpxcHCg3/zmN3buDhbCd4GMRiNdXV1pOBxuHIPhi+cIg0fDPHjF8Ze3t7f24uODgwMVCoUNL4fS0oixa3joFygYDNpZUAwk0AwA/yif32imYpj35Gwprk2YxP0YWidEJDTlRbz5fN7QckLF7bKZX7tdiNdCeJR0uVyqWq3q4ODATqWsVCobDQDMziL0vtwG2LINzvnQ833ytA3qbZNXNBR2F+NLqx/7RDcdTsADX+yLL+lIMsMv3aHQtVrNUjdJltcT2vP32xWTdDqt4+NjG9j3DsuvkW9UeWgvA7tu9J72tKdPSx8XX+xpT3v6ZLRX1j3t6TOhvbLuaU+fCe2VdU97+kxor6x72tNnQntl3dOePhP6/2YGhLNAGo9XAAAAAElFTkSuQmCC\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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 50\n" ] }, { "data": { "image/png": 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IAty4cQPj8RhHR0cYjUabAWeIEsRgMBBtTlAXj4/YJTFsmeckIRqAspX9NcfTJCamCS8c0BBN00hHqIshGowN0cOHD3Hjxo3NgfM8vGkaDAYDPHnyZK3s6J4yDEPKGQmOxiGx0Yv6nJ5lS7/+xSjiXJ1zgOFwiDAMxTj64cK3336LXq+H9957D/1+H5PJZDPgJAce96Rp+qMKi7VZP6dmXutHSXpqUKoC65OeiwQHQCYu29vbUhp5GkOvW5aF4+NjeJ6Hd955B3t7e/jkk082A05LUzKOx+O1gzz9JiMbD4KgqGENJvmQ4HiLifWeZ+P6vTfKYU5imTaUrnqkUTwdHx8jjmP0er3NLwbQ05xzJ0kiuQ2sD/T0U1PXdddGQZSdbCB4rk5wvBKmn5zyEmEYhvA8T9JBP3ml8SloeIeVlej4+Pgnsb36X0hXbb0CftXWK+BXbV1Z4P8DJ089r/aX3rAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "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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Xl5d48eIFiqLAwcEBcwk6BVEXPesVqF7LdwJedxdKLnVGVT+rYhgGbt++zWNbmo52Oh0MBgNMp1MeB2VZBt/34fs+Dg4OsL+/z+dZSL7udru4desWyrJEq9ViikrAaHZHul2dD9QPGewMvJ4g6MANvYxOPGVZhiAIcHBwgOVyiaurK86+e3t76Ha7LC/Vz7kYhsFKSV2xpfHP4eEhS1qUrOrVpZ7B6+W1KAosl8vdpSeiffRC0sDrmjrNtNvtNhqNBizL4lFvkiSsrtJxj/oxsCzLEEURsy4CTSNgmout1+utg0gEmt5NVqZPFEV48+YNHxx6b+AEvi7l0ECeXk7Wpk7Mtm2ery0WC25b69XBNE0+BkagLMtiiksnKchV6RRTnURJKdmrqK6TJ6zXax5d7WzxuphPJxrpNBNZgGosnVCkyQgAzOdzxHG85eJZlmE2m/FmEOujGKdWk0gKsTRaC1mbrnrlKYqCDwW96yjIn55zo1pJpJ/YEx3foPgiTyBKSwNFyrybzYbdnxIigSSBg9Qb4PcyWR8kAL8fJ6WNeJtMbTYbzOfzv8bcKEbq7SVZgf5Gikscx1uDBaKzFNNvH8SlySqdO6X+vt6V1Xt0SrLE2WkT6mWLcgudndu5jsdxzA8kgCTzUGzVj1DWaytwzfU3mw0f/tN1Ha7rotVq8cLpqo+nqFaTN9WTbJqmW2fh6t+ls7DUwoZhuBvw0WiE/f19VjzJ6iRM1JMKLaDeyNBFehqdTqKWlr73z+QlUlHJnd8uWXXmSK4/n88xmUw4/0RR9IfYPv4vpJt2fQR+066PwG/adWOB/w87eBVveENlVAAAAABJRU5ErkJggg==\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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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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\n", 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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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 63\n" ] }, { "data": { "image/png": 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+0Dl59OgRT58+Jc9zdnZ2tPaenZ1RrVaJokjdO0kSer0eW1tbPHv2jO9973vEccxoNNLvSPdTsrZstBgrVFm4+Vef71KGZ1lGEAT4vq/ZfLlcqrsuFguN++l0ShAEPHnyhOVySaVSIc9zHRAQRUWYFzynk5PJRN320aNHGIbBeDzWGh6GobashsOhlj7xAHFreS/eJNL3pQyXciIYXfpa0uadzWYMBgPNvCIDA9i2zXK5VG4ttV7qrmVZpGlKFEUEQUC9Xufu3bvU63Usy1KFRbQAOcXlcqmoTmq2ZPOvAibhDC9tuMSI7F65XL4AGXu9HkdHR5rd0zSl3+/rqSRJoohrtVqpJwihAFQRlYGD+XyOaZqcnp6qu1erVQaDAe12WzU8SVwCWcXzhPF9tdS9lOESv0EQaAlbrVZMJhOSJGE4HGo/W4QHSU6+72tWLpfL2l6WmJRyKJsiMVwul/UzQX+imIog6bqubpy4syTbLMvwfV8HBS5luEjF3W6X4+NjjdvFYkEQBAyHQ05OTrSRJ0xNEp24uHQw5/O5xp/UWCl3wtKEuAgWl9wQBAHVapUsy2i1WpooV6vVBZwhiVbw+6UMF+FwNBrx4MEDFQSm0yndble7oMKDT05O8DxPY0t63tPpFNu2cV33wvBOlmUqRZ/X2UQ9mc/nzGYzFS5kCMG2bS2Vq9WKcrms3pNlGbPZjPF4/H8jKWLA8fExBwcHbGxsMJ1OOT4+Zjababw6jkOapjiOQ6vV0vdra2t0Oh1lWJZlaQJbLpdkWYbrutrwF069WCzo9XqEYUiv12M6nSqSe/jwod4viiJarRa+72uG7/f7jEajy594EASaOZMk0YwdRZHOqVQqFUqlEtvb21QqFdXmBDOLuL+5ualzcNVqlTzPmU6n6h1SLqX2yjxLFEUcHBywv7/PYDCgWCxeGDmRmZfBYKAUdzweMx6PLx/j4i7yms1mHB4e0ul0NN5msxlra2vcuXOHarWqbEkAhigqospKUpJ+XJqmF0azTNNUz5AREUBBkQid/X6fUqnEfD7XETCZlOj1eoxGo8v3x9fW1jAMg8FgQBAEuK6rie389FK5XFZVRmQfGQMTWanb7V5IXsKgBI0JzBSZS36WPlyj0eDZs2eEYUilUrlw0oZhsLa2RhAEmnR9379801BECNl9ccujoyM8z1NDXNfV78kyTRPf9xWgyMSDKLEyMSlyc7vdVgYnCEy8QZRYSXKSwc+Pfk6nU60EcjCXFiIkywpVlP6XzKQIYZDBuzAML+DqKIo01oRASPYV4tFoNDTDy9ioTFSKuDEajcjznFqtxuHh4QWhUkJEQJVsxPmDemnDpRMidFPqr5QbMXo4HDIej1V8lBOXml4sFgmCgMlkojlBQI9co1qtEoahokORjw8PD5XCirgQBAGASmGr1YogCFTLE35wabHxfK9MHkyQmWjeMun4+PFjoijSySXXddna2iLPc8bjMXEcM5vN6Pf72vg/78YyLytd1/F4zHQ65ezsTN1WpGppEQkXkL8LgkCJkTzbpQwXlxWhod/va6cTvhyVlrFMKUnb29u4rqsKyxdffKFzKaKSSJZP05RGo6ETjMvlktVqxXA4pN/vA9Dr9ZQjSIiFYagIUbzQNE2CILgwHvbn1pv/hfS6rTeGv27rjeGv23ptDf8flMeox0Vc6RAAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 64\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 65\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 66\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 67\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 68\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 69\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 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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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 72\n" ] }, { "data": { "image/png": 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KI1erVWzbJooiPZhKpUKapipspKj5zne+o4Bk9CuTUIn5+amOZIaLiwv6/b727yX7LARc5uLdbpfd3V2uX7+uJyqNfhnzSpoRMHIjQjqsgOrq4XDI4eGh9tPnmw4yPw/DUFOjVIXzKs2yLG2SRFHE/v6+ZgjHcbBtm1KptBjwe/fuaVz/9re/5cc//jGrq6vaa5NrF9JNAdTKorjkcIQQpTEpBc14PNYCZjKZaF/OsiwlM3mPhJr0CCS+u90u7XYbz/N0uhsEgbr+Vwb+4MEDfN+n1WqRZRnvvfced+7cUUUk4GzbVsv6vo/v+ziOox2R+SmIFBTzQwpjDJPJhCAINIcLicmBCJnOT0vE7e/du6fCx/d9XNdlMBjQbrcXAy6W3Nzc1NsHh4eHlMtlbTtJHpVOp7iZWFjaT3IjSjigVCrhuu4TnRS5/CMXACQ/z1eDMquXr4eHh3z44YeUSiWdm3W7Xc7PzxcnN7Hq5uYmjUZD2fXz01AZFIqoGY/HT9xGEDCSf8MwVA+ZDwMJK9HfwiWizuabkkKG77//PoCm2aOjI5IkUS9ZCLiQSr1eZ3l5Wd1P5tnz9a60fuVijgCQDkkYhip4AN2UiB6ptOYJTTxnfqAwv6+7d++yt7eH4zhcXl7qQFE88ODgYDHggG5WrC3WE9eVElRITWJR4k0sL4ckri8HIgco0xrJDCJAZDorhyScsbu7yy9/+UvVFLPZTOW07/uMx+PFe25COhK/4tIiFSUODw8PtTKS4b1o5vlyVrqqwu5SZ0tTQw52vugQsBI+w+GQTz75hLfeektvVAjZzoeEjKEXBv75vjqg2liqs1arxenpqepkqYvlbosws1wCkG6J1OTz6UlEiagzUWpZltHr9fj973/Po0ePiOP4CU6ZFytymE9bX+rqnufprEzmVKK+hODkGlev19MLPNJblw2laUocx5q7xZLzbWeZqcVxrGEj3NHpdPjVr36lvbf5Na/m5KDFcAsBz/OcWq1GuVzWLou4vAwGRbZKXMq9Nxn2CxkaY+h0OgpcXFsaGnmeU6/XtWkoY2LHcahUKuzt7dFut7XfJ2E0n+4ATXnydSHg8Pjmk1yckw/7fP4Vlw2CgGazqRd1ZEIio1+5BirtaNEB8Di2ZWwkxCbW9n2fo6Mj1QViTQnF+b3IIcxfUfui9aVDw+3tbWVn6bdJP2wymej8G9ArIEI4Gxsb3LhxQy8DSXzLBoUofd8nCALyPKdarVIul5UfJIbPzs7+zLICXvY6v+8v+x9cL/4X0vO2XgB/3tYL4M/bem6B/z8dnAabLqCnJAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 73\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 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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 80\n" ] }, { "data": { "image/png": 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bSU5lWSLPc36wb7lcotPp8PHszs4OWq0WCxFiSdkUCemPSiS5N8VyHMcYj8cYDocIgoBrusjF8zzHzs4O8jxnzxIrDYXVQ2LEHzI34He3JRedz+cIggDz+RydToefLHRdl3dTFAMo3ohuAmAmWBQFoihiBXY8HuPy8hJxHPMhg2g4ehyFTkrEwwnTNNHtdtlr/tJpqSg2ioOeM6M4nE6n6Ha73BdTjInCgEgrKRGKwFerFcbjMYqiQK/XY7WGQoHmpc/pQQI6RKRTVuIQWz/uRWWFwIvykHjNYrFg/m3bNscrARS5veiCdP5Fz9BRu0oPDRJpEqkogSPPEnt4ml+WZbTb7QdPUj78L6SnNj4Af2rjA/CnNp4s8P8HGwGLgFxg/3sAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 81\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 82\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 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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 91\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 92\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 93\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 94\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 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", "text/plain": [ "
" ] }, "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 98\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 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 101\n" ] }, { "data": { "image/png": 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5xKP5fC60I3PKJEkwmUwwHA4xm82k2kUrzufzUiQ4KzatDk3TUK1WoWkaBoMBcrmcxMa1tTXhjweDgSxsEAR49uyZZBpEwQSh6+vrsl5JkghQBU5TsyAIJNdW82YaDufCdI0hiKkmU7s/Kw+m9ZGiIyXHtIC5HHNclexnusNdT0WRXmPSz0elUhHmiLXk6XSKfr+/xPeSOMjn82i1WsLjkvPOsgzz+VyqQucN7v5isShei4yZbduoVCqSohSLRbk+v8vdz1Ip0yyCSyqASma+67quIGsqmKwZ1z5NU8n1uU6sD1DesyjZc7loLmixWBSU6Hke5vM5fN+XRWTVh9UWxjGiYhIArHtysiQ9NE2D4zjicugi+RnGHJb1aCyMR8ViURC+umMuMrirCMzouci2maYp8yqVSkvkBQkMKs2yLPT7fUmBqBjiCn6X4MtxHGHIqCxel2naatUpSRLk83lhsWgQb61gUnGO40giTtqOCJWKVKk4lTd2HAdJkqDf7yMIAomPzDXVogMRJhEtkTYFJhMEvGbYSMAwTeMC8TcuMtRyZj6fh+d5ODo6wmQyEaNVq2CUdTKZiIHato1yuQzf96X7hYZKY2FZlUZLJo8kCj/DeXD387NqXs71VwHXWyuY7pauUd2daqDne6wKsfJRqVTgui56vZ4sFgUHXsdq1aCm0ynW1tZQLBaFWaKCWcGhYmm5pVJJUi7GNZVTPm9wt4RhCMMwsLu7i2fPnmE4HGI8HgtTpKZdXAtWtNiSc3x8jCiK4Hke8vm8GCbXhsUWkkCFQkFyXrJmKkFEmalE1TOyNnBpBTN1WW2fIc3ImqhaEqMQzJlZZiOJzrgEQHYff4MujJSoCh6oLFo2rZn1aMuyhK+ld2DF6ryhegYA+PDDD/HrX/8anU4HnU5HUhkaAMOMWtRn3GcYIlbRdR1hGGI+n8s16OXInjEcGYYBx3GW1pk7mg8qmG6b9eKvGmcSHWpTnO/7UtnxfR/z+RxhGMpEuLNd10WtVoPneQIggiAQqyZPzd3LFEwtdLOqQiDFWMWFJYhj8ZveRN0dzK8vMuhKGTer1Sp+8IMfIJ/PY39/H6PRSOSnEandKPQW7HDhGpRKJTFc5r2rm4XUZRAES/QojRZYjvXq7xGEXpqL/t73vodf/epXIiC7Jcmj0m0SODBOcYfShcxmMziOA8/zpMtBBTCslgCnqRnLg1w8xj26UhoMr89F405RF+0igyCLLjOKIrz77rt48eIFptMper2eNDKQ0aNH4Xd57SzL4HmeuGwCPuKDNE2FWyBusG17qZuUcjN8qf1vvAZ/h97xUgp+//338eLFC8lFx+PxUqcBd5RlWUt9UFxwKng+n6Ner0uFybZtcXf8HpkeFSipQwVXwOuWU3ZNMD9mIZ2p1kUGf5txNYoilEolbG9vIwgCTKdTMTjiDe4mNc6zWKFWnmicBH1pmoqLZgsOKUeO1Q5S4DVeoUunfGxA/KpxpoLL5TLW19elYjSZTBAEgaBEpikEYpwYJ8v4y35honCVZlP7ibIsg+/7cF13qaWUv0fwRItmDKchsbsxjuML715el/MhOTMajXDv3j10u11MJhOMx2MpvtAoaeC2bS/Vj4m2wzAUj0ajYLwvFAoS6phZrDbncWdy7cMwXMIt3BSXVjCT7Gq1islkIi01vu8vdUXSukhuUGlshudzMjz9fh/lclkWkmmI4zhLBXMAS5UsCqzrOiaTyVI/MwVVF4C76Lyhfv7o6EhkI5CcTCaI4xij0UjyUHoOulmWANn0niQJZrOZhBE1ZLCWS5DFuK6GIcpBJa424NETRFF0ZrZwpoIZCzY3N+WkAC84m82WEnA+1O9yQr7vYzweizJ1XRfBmIbQOBzHwXQ6FWtX80Z1F3DBuOAEV3xOj3KRoTafszPj5s2bODk5kZya4YdttWzVpetleGDhwHVdMVbTNAUMqfFYJXHUNmEaHfNfyqqyXPRqZO4upWDSisViEXfv3sXR0ZGAI7pf1aKZs/HCQRBIDxMV2Ww2BVSpLpa/SSTM9EztZ6JiafF8AJDP0oD4excZKkvG8uOtW7eWKmd0v/RQ9Bh8zlajg4MDAEC73ZYcXjVKro1K8tAlk19mdsL2YDWDURVKYzhrnPmJOI5x+/ZtIcDZWcAYyEmoE+Wu4aKwK/PJkyd4+vQp3nvvPRQKhaUTCuzEZG+UugCso3KRuCtms9mSK6cHUAW/qILVoWkajo+PMRgMpEjvuq6EGtXt04ORinUcB0dHR/j888+xubkp1SwaJEug1WpVCiHqERcAkk+rhA5DD98nDqAeLt0XzZTho48+kq4JCgVAuF+6bjUxZ35Mbvfw8FDKbbVaDfl8XpB5v9+H67q4f/++HNZSf3d1kZiSMFdW0ygugjrPtxmapsH3ffzhD3/A7du3BfgBWKIbOTf+Zf14e3sbv/jFL9Dr9dBut6UmzU0wGo3w+PFj3Lt3D61WC41GQ4CYWozg9fg/3+dgrOY6fdU4U8G7u7v47W9/K9wom+XU9IDukIujxmTHcdBoNKSfiC6bzeFE6aPRCF9++SWOjo6ws7MjDJDKs/K5akTqDqI1M0ekoi+jYE3T8OTJE/i+j1KphPl8vnSuSqVBKbuaG1erVRweHmI+n6NYLEpFrVQqSV5t2zbW1takoMJdSaNV5aIBrzJ76tpcSsFpmmJ3dxcHBwcwDAOtVkvqoQCWOjFUpRNAVCoVYaF2d3dRr9eXrLZUKqFUKmE8HqNarcI0TWxtbUlDHoVQm/5U5kwtTaoujt+5rIK5wEdHRwKINjc3pYuS15FFzOWkJGpZFt577z1hs9jsz/4rrqnjONLvxTmrDX/qblUVrr6vGvNXjTMV/Pnnn+PTTz/FxsaGNHqPx2OxYsYJWiBf50RIM5qmiU8++QSdTkdaf2iRbChn3xWBGl0f6T11xzCXpnJ5PSpfXYy3GbyOGtsIpkajETY2NgRJR1G0xL2T7DFNE3fv3pViQ6lUkqIJz26pDBwVpBosweubTiysGvtZpxoupODNzU1pqGPcU4EBJ6kWG9RYzQVrNpuS8LM9h1ZKYVVLVflh9RQj8JrpoXvk/wCWdu9FFawiU85X/T6P1YRhKEoiXco5EY+Q0lxbWxPmCzilGAuFgtSyRQHKKUbKzzxY7dHmd1Tem8WHS7vobreLn//85/jud7+LLMtwcHCAfr+PGzduLKFmxlUS/CrQUgVR68iTyQSj0WipOqQeAlPjD+nOVRACvD52QsWo8fGiIEtdPNXVq0V3EjRssmeOz1RSzS4sy5L4mqanZ7fCMJTjoZyj2sLD66tzUVMslYzhe1y3SysYAB49eoROp4NyuSypCft8qQSmL2xaU/lXtayn67rcxoHWqnLTwOsdqIYAFdhwUZgzq2h51aMwtTlvqG5O3blUMj/T7XaliQ443ZUs+vP67BT1fR9pmqJcLqNcLotLDcNQ1iIMQ5GFh+VZilWLGKsxmuVYyn7pYgN3KAvfFJrUHRkeCsWdpjbSEeIvFgucnJzA9320Wi1RNNkoumm12E2DUuPsm4gVxmM+p4L39vbeSsFqSFlVtqZp4nVqtZq41dlshslkIgpVSRjLsrC1tYVarYbxeIzxeCztvDy3pKaaakxnDFaNWiU2OMfz6sHnni5czX2TJJGORjaaEWmqfKtKVrDcyDJjpVLB1taW3MgkSRJJ/nmygMzOaqpE0KMm/GqnBRmy6XSK58+fX0jB6lCVy+eq2+/3+0uHrslika2jPFyXbreLcrks8nBNi8WitELxrJGu61LbVtt81LVXNw5x0VnHZM9Nk1RUyd04mUwwGAyWDh9TKaTWZrMZRqMRhsMhhsMhsiyTHdftdnF4eLi0O/b39yU3bDQa8lm1k5LWrLpxWrZ67SAI8OjRozNbWVblpFJV98y/Kh5gwYELzvr29vY20jRFt9tduq0FmSk1jtJQSqUSHj9+vHS/jXq9LkSQWg9f9SZZlklWc9bZpLc6fMbUhrfzYSqwWv5jDVWtaTK20DJZt+V3qcDj42M5wsIburiu+ydpD1E0G/BVPrjX6+HRo0dLxMBZYxXoqBiA8lO+OI4xHo/lBixstuPuqlQqwhm7rotcLidlVhbxNU2Tz7C7slqtLrl4Xk+dn4qyGbd7vd7lYzAFVZXLCw2HQwwGA+kZ5oUJqOr1OsrlMjY3N6XESOKDcVy9sQr/stLExRiNRuK63uQ+VVfF+2Z98cUXGAwGS0X0s4Ya25jXc2FXUTUAHB8fw3VdKQaweDIej6WLg8V9MljcjWppFXhd0GHTIGvLAJY8BQ2O8TgIAgwGA0RRdOYJjnN38CpNRqHjOEan00Gr1ZK7zBBFcleT6SIxQZfL3mpaJsttJNmz7LTtha6ZBD8rRMz/GM8Wi4WEhC+//BLPnj37E8WdNdTcWXWHqoEQnfPg3XQ6hWmakhuzNWkymUgjHrtfeGsngkEAgl8AyHfVVlu+zqFWx3hElac0yaK9tYJVxkr1/4zJBBVEguzzpStjDZMKISCgcGqHRhRF8jsUPE1T6QKhl6BRsKiuaZocEKdXoSIuuoPflEeqCqd3Uo/T9vt9rK+vL3WZsjl+OBwKOFSb51hb5g3UyO/zesyTVYKDMjKeR1GEyWSCXq8n9OdZhnwhE1fzTP5Pi+p2u7LbyOxwgnTNq3eJASBsFj+vnrdhTZSv8/qqwABkNzN9YRoF/Gk70FlDrUKRUVqNvyoGsCwLo9FIgBHZOXoo27ZxcnIipU02EVJ5ZALpzql8AEtEiEpiMKXkHQJ4BuvPOnzGQaFXOWFdPz1dzjNLqgtlzxJdNF0oT+Gp5AJTBhYf1NMR9BYABJSxFs169MnJiST/Kulw0aGiW9VbqZQn58vfTZIEg8FAGux46yS1OY5dL5ZliYzqjVPCMJQb06idqeo6qukY73cCQFhB5sxfNS6kYDUuqEKyT+rg4EDO5VBAWhjBURAE0kBOQah89SyRmpLxc6qb5PfZUMAiSL1eh+/7QhCoTXHnjVXZVLT+JvpTPV/ENIhon6CvXC4v3QKK9w5jazHJILWerXpIgjTiEGYHi8UC1WpV8uU/m6pc5XVX3YGmadIrzZ4qVpG4wNyxRMtZlgl6VDv1CbbUOM9Yq6JbAEv9XKxITadT2W1MoS4yVsEU5eL/qxhERfHEFjx3lcvlpDeLlTSmgDR8AML8EZiyRMoODpW5Ywii4fB3qdyziioXYrJWn7/JXZOP5k1GeZsCfo7AiawLwYbKFqmLTL6aiJ23ViLQ8H0fJycnchdbujU2xKtHTM4bq6kQPYmaJvH11Z4otr+ORiOpFpHCZI5LPMD1AV4fCuB8CeBI2JCmPTk5EXyheoE3pW9vlO0s7V+Pv/5xfcf3Kz6uFXzFx7WCr/i4VvAVH9cKvuLjWsFXfPw7z/7rLvsthAAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 103\n" ] }, { "data": { "image/png": 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pHeUFMzMzQ6vVYmVlhZs3b7K7u4vrurRaLU2cZM6W17b4uwjW87zpgHe7Xba3t/n617+uqaNMSaTzIdJ3HIfl5WWuXLmi2ZjU8KIRibQSByQny4bhbDoDZ4Gs2WzyzjvvcHBwQLfbPTcdFfBCi0WI+RH11EPD999/H6UUV65c0QCCINCRXlKI67pUq1Xq9TqGYTAcDs/lY0AzLzkdIVeSJDiOc+5wgWw+P+vudDqag0swFPeQyC9pUaxsf39/OuD7+/tMJhMODg5wXVdPLEajEaenp9qsxERlxCuaFcEIUNmYtJL0JnJ9tWKxqFOiNDeKxSKNRkMHTQlaYt75hkj+dMXHH388HXAxwSdPnjA3N6d9SuZVYupi2mJiMiOTTgygA6S0kESzolWp/Z8mIdJzk/eF88s9sTyxKPH5LMv44IMPpgMuPn1ycqIfKHO0fPrI52Kp4IBznRrRsPTwni5y4jg+d3BABCLfF24AaA2LtuWzQovjONbNi6mAy6aOjo7OHcEQxiSBSgqFfGkqviZ+CJ8XPeLT0piUeOA4jgYjWpeiRaxGhCUnI+T7ohSpDT799FOOj4+nAy6akZMPS0tLujwNw1B3WMQnpdUr2o7jWBMT6cnBWfGSP+Qj35E6QNaV11mWaUvLW9nTHRbpGCml+Oijj6bP41KdhWHI+vo6CwsLBEGgNyl9OLEA4e15giJpKl8vixVIlJc4IOOi/AEhEYQIQHhAvrsbhqHOFkopnjx5oqetUwEXjXiex/HxsZ49iy9JBJfAJkDg7MCQ3BfB5FOQaEjiQr7uFgsSYpQ/EzccDvX6EsSEDIkrbW1t8ejRo+nzuDxYFv7973/P22+/rWff4oe9Xk/nc6G4SinG4zFwFtBkmCemKgENzvy1VCoBn5OcfC0gwpNUlncJ2YMUQo7j6NG2KOGZgee5b5qmPHjwgHa7zdWrV88d5ZRF80FMcnpey7JRON/kkIpP1sz/nT9UKO/lTz3mecNoNNJdVhHuVMDzC0ia6Xa7ur0keblQKDAajc4VLkmSaO1I+So0VTYk2pTMIHM4+b4AkK6LCEPK5Mlkgu/7OI6D7/sA5zLD1PX402NZQDO2OI71wF/YWBRFOkAJeZlMJriuS5qmusSViC0tKumKSrqU58nGpYsj2s8ztyAItMW1Wi2t/S/T9v8buEhagAdBQLVaZW9vj729ParVqm5AyoLyWoCJH0pLWuhnnrvnTz+KMPIzunzDQirH4XCIaZo0m01s2z43S5+6ESFpSQoJOf8yGAyo1+vMz8+zt7fH/v6+Prol6UX82zRNhsOhNl8Rpvi2bFA0lW8+ChnxfV8HKhFEEASaNjebTb22dHTr9fqXlqWv/gvpZbteAX/ZrlfAX7brpQX+f9wLj38v/w1gAAAAAElFTkSuQmCC\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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\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 107\n" ] }, { "data": { "image/png": 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NlNDP1t0qQi73/rozMmbSUNh+JBxTMe12G0DdKYDLSVLKalvO3Ac7XLdSsB6FYXdEH5qK3IZuzUzxPhpm9JwTeVr2h3VJsX29hm96GUd62I3a/uwui12ubWWyNOQetNLpTUVRoNVq1VCMe+P3rAaIgDRCKlB3zLgHfVY9z0Zj0rNot47Bs9lMiA4+kFSchio9CMekiJkz4YjK1HNLAGSyg9QjWRoaF8soPcO03UzQ9TV7sTeBaJ6Hi5DK1qhu0QGQ1t98Pofneeh2uzJsqMkJ7pfIxg7YcrnEdDrFxcWFyIDdKZ08ar6AHs22pWb6bl0Hf/LJJ1Lv6WaBzjApxO3xlmaziU6nA+Cy1qUV0kt0+s/yJI7jWswmp6uRgc/UnkpvYzymQey6iFS65NJkjH4uR27YUCHsEuno2cAl+cLOk+/7YiCTyaQ270wegWejw/Ce5AO4Rz0PfisFv3jxQjhWwiF7xLrgZn9zsVggjmMURVEb0QEuvYzWzZjFJkGv14MxBi9fvsR0OpU4T6ETIgl5tGbGOw1nOuveZW0PjhOZCKXA5SAAR3Cm06nUxHpWiswbmSl6WFVVcj0nV+bzuRgzn0XU2A4FvK+G/l3aolcqmA0AwiLhg5amBcDeJT2Q9CZLC8INrY5KY5aqIU1Tk2R96CE0Kno+76dhbZfYpJeO9TpJ5CAcPYb07GQykakRXsNQo1+bIT//uiFCbZR5nmM+n4uBUH66ncppU10C7kLHXkt06LoSgDQEGo2GWBHjERvWjEnA5UDecrmUFJ9JBxMNej8PlCSJIIAeSNNDdYQ1CpWLSqdx7LK00LTwdBnCAcHz83PEcSz94OVyKe3KNE3l/Sh2m05OTjCfz2sypDxo3DwbJ1n0iBJjL3l5sleam7+1gpmC68SJUE2rzfMcs9lMYpLv+8LbzmYzSWC2LXs+n8sAms6AtScy81yv199o/9GqGfO5X51c7RqDtxMV1qTs2FC4cRyLpw0GAxkZOj4+FgintxLGT05OEMex1K7cE7tQRBsmaJQPFc/9aHJIc+2aZLmxgoHL95M0k0S4oudRWWVZYjgcIggCseblcokgCLBYLKQjs1wuMR6PxRs0q8UJST3xEccxsiyTjgoVvP2ls+Fd4RmADNbr0krnCcYYSYrSNK1xyVVVYT6f4/T0tAazNOY4jmWWi3NiuiVIgyQkU7ZUMnMR5hU6CeM1ty6TeCN2OnTSxPqVcTfPc4RhKEPgjCsnJycIggDr9RpxHEuMHY/HODk5wXg8lsYEM85ut1vbNGO9nr0idDL+ZlkmCYpOznZZaZrWPk/hdbtdSWQIveyNl2WJ09NTrNdrzOdzmS7lAKGeuuAA3XQ6rcV2Y4x03ngmOg6TvCzL4Pt+bbBQv/l4XbVwpYIJy5wPpkcx/iZJgul0ijRNpR/MkoKbnE6nOD09xWZzOQqrZ6E5JEAhuK4rcZmD5QwLHBliSUX4Zja73eTYtQ7mkL2mHsuyxP7+fi2HKIoC3W4XzWZThteJGq1WS8INjcH3fQyHQ1iWJckoQx7DG2tiTrHQ05nQ8pxRFEnIoGKv46GvVTCFRQvXM770RG3VrusKFPMNBBoCvZcJA/CqOdBut2VCg/Uh+WvGXc1aEfLZtdLEAqFeW/cua7FY1KhN1uf0HsZj/Tt+5XkuMMrplDzPMR6PZSCA92ZM5cA7lUivBy5f8qO8+UXSRxNM2ihvpWBynexNApByhZa62WzQ7XbRaDQkXmpmqtVqYb1e4+LiAufn56iqVwNmo9FImB39ohfHRukV7Hsy62QdymkRwhZhlUZ5E5KDwtWLIajdbsNxHLTbbRn0152zbQqRAxB824HDioR6Pceta3o9hEj5AqgNNjCJpA52CUPXKlgflqUBcFmOkOliHZhlGebzufyZB9bC7XYbi8VCsm2O/qxWK2GhmMwQNejNVLB+q2LbwjUfToXvurYFxWvH47FAMidYzs7OpDbntMdisZAcQTf9uS9NyuhYqt9wIFrRGFgi0nAYy+nBrDY0hXpjBWvGKkkSdDodGePRr5KwVFqtVjKBQGKEBX2/30dVVfImImGPpAmhnsrjILim/xhvgcs2Ii2fMKaHAHZdWkCcezLGSPKkPYi1KOlI27ZlcA6AUJH8nKY3ySGQnCGJRBkz32DpwwSMs+l81va71X+UghnTdDJE2GBmOB6PZQBPE++E07IsEYahzA3TKj3Pk/KKMNdut2sxnlare6ocnKf36okHALVMf5fFSQ0u7iXPc8RxLK++ssan8pj96xjN2Oh5niRUPDcVrtk8Nkfo8ZrA8DwPrVZLklrmBTQmeu+tyyQK1hgj81F6kDsMQxwfH2OxWEiiZFmWlBG6tIiiqEYpchpSkxxsQmj2JkkShGEo5AoF2Gq1pM3HuMXrdK92l/U6OKfQxuMxbNvGcDhEGIYYjUbihZynokKJKr1eT0q38XhcK5V084GwzESJyKZbsURJeir3pXvFt343STea+V4Si3wN0aQdCRksm1i/UvFkaTgpGUWRlFSEcyYYOpZSWFVVSTyMokgsXw+/bfdPd1l/6HP0pPPzc3nvqtlsotvtSszV7wPTqNrtdq28pDFsT47Qa0UZXzsP4y/lQSRi5q6NmPK7lYIpZMaIOI7lkMwQgyDAxcWFWBHrRb47oycv9ZTCdDpFq9USDwBQo0SpOP6csVbDlh5GIKzrg+/qwRQqx4/oQY7jyKuifIWHnko41dk8+WTuXUMrcPnnn2hQOtRwHzQWzY9r+WkZbpedN1bwNu2XZRmm0ymqqpJR036/j8VigYuLC/FsHaNJwrOhTagjm0XI4nVUIp+rYxOhkPDORIP1KIVB7901kx4MBgAuYzfPnmUZPvvsMzx69AhVVeHi4kLOzbhL2pFKZZJFyNVJFL2WeYRGQ80ta7jW2TLPqvvoOvG8lYKpXN5kOp2Kt3JznCvafleGls7pTL5B1+12JQGzLKsmYD5Hx1ud2RpjJBHRGbNWKGPkrhBN1GESQ5aJ7b6nT58iTVN89dVXePjwobzSQiXwtRJWDFQgw5VGGK1slpCaetRZsUZPsoh6KuaPLpMoaAASU09PT3F4eChvODAuFkUhf1GHE/7csJ462J4npgHQaBintr2JcUkX+DzkdgKie8W7rGfPntXe4GdJBgDf+973BJ6fP3+OqqpweHgoiR7zC+YkVEoQBDUigyijaV+d4+gmh0ZOTZ1uhyBe80eXSVRClmV49uyZMFc6ESJkUcG0Sh6MStIThRq2qFxt1dp6KQx9OFq0hrHXKfy69fnnn9eICT2Iv7e3JxVDVVX43e9+h263C9/3pUbWo8FsHGh6UsdK1sz6D8FR4YRbcvEairWnamVfF4quzaI9z5Nm/t7eHo6OjnB0dIR2u11r87G1xaSDnsiaT7+rRINgVwW4JBh0hk4F84AasvT0xraib6rgTqcjSuI+giBAFEV45513ALzizQeDAT766CPMZjO4rovT01NYliV/tLSqLl+IozKJYKz9qTQaLQ1Xl3nko1lW0gnIBWjPpQPcSsEkyl+8eIEnT56IcMkdk60iv0ql0JN1c5tK5N/ZoBXrbFHfRzcNNLGuZ5W2PXc7Ru36CukPf/hDed+ItSmfQyoxCAI8evQIn332GabTKQ4ODpCmKY6OjqR0418g0Jn9dDqVLhgHKIhqGmY5oUJY138oTf/9Ld0Q4Tm3XzzYWcHdbheff/458jzHaDSSRIn8MQWqW1sAahBHMoLFPWeL9HuxjFN6PJYHIg25XddSiNsQpg3hquxSr8ePH9diO2FvO3F79913sb+/L038IAgQxzG+/PJLtFotDIdD+Tw5+YuLC+lVU056zIjJk55zJnHE8oderMd+tGyuWvf/15U7vu7/4vsdX/cKvuPrXsF3fN0r+I6vewXf8XWv4Du+/h9VARJDHoZZwAAAAABJRU5ErkJggg==\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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\n", "text/plain": [ "
" ] }, "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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\n", 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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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 112\n" ] }, { "data": { "image/png": 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PQ9d5tUsmiSJoemiNm9akjXGXNeyiKDaqXdq1a+3WI7raJXddJy6LI6a7Lu6fVqzjvM41tYVxWIHkk6RPD8vRvetCD+vMjNl6XEift27AEGB+6b7yg1n0bUJtfw9A3AYthwDRgrcVRfc56W77vsdyudxIC7Tr+hAoFJ57oNBUmF0XPRT5Bu+nGSzlIPEsimIjzNAi2UC5uLjA5eWlNFziOBY5yS+0rBpgrczb4OppERLVD607AdZpjZ7B0qMrFJjNe6YMbEyzbsoiBhvhRVGIWwaAsiwxm80EfKYcGgAeJC1XpyGaXRLouwoAeuk4RxeoC//bRI4u8uzsDJeXlwjDUFI7x3FQliUuLi7w7t07KUW6rouiKOB5HoqigG3bG3FZFy+0IRED4qCtVu/zQQCTeKxWKyls0D1rRkzw2BkqyxK+7+PZs2cyets0DRaLBWazGS4vL2UKkyM+jC9684x9BFXnuzrOkdAwbeE9dGXoY3ICN5MrehCOHoZxlKDneY7z83O8efNG6u4cI6IHWSwWePfuHfq+x+Hh4UYbEYDsl+fFtW29lIfg3pZmPghg3rQsy405ZJ178gOMMSiKAr/61a9wdXUF27YxmUyQJImMp+iBs6ZpEEWRTEOQWSdJIoJRWHoCXXTXjFIDoofY7pMHE1xaKO/H0R0uym+MQVVVmM1muLq6kqdAaIUcUvjlL3+JNE3xwx/+UMZ5dCuTcvN7/ktvxPycYYE8QT/Sc9f6qItmC5BWowsZJEEs2/m+jzRN8e2336JtW5ydnW2Mgq5WKyyXS5yfn2M2m+Hg4ADHx8fSbjTG4ODgQAoEBEmnZjqF0DkmLYFu7L6Dd8DN81BUGFaINJsn6YrjGEdHRzg/P5cJFObPZNy+7+Ply5eoqgqWZcl4js7t9QiP3gdds5463VbiXRR4JwvW9V024wm4ZoLHx8c4OTkRN0w2qis/2gUvl0uZpGDTQQ+Ua0ZOpaKQBFprNAHeJTbpRfD0+zhNSQWjB2Ne7zgOXr16JZOTHErQE6BsouhBQvZ3oygSEkeOwv3q5oau2+t5at2uffBUJT+AxQZd49WNBd0MePHiBd68eSM0Xud3lmVhNBohjmMcHh4K8NysBlLXnnW8Jwhak3kIt2n5LotujnFbt/pI4HSXjN7G931Mp1PMZjNpGvDwSRRZpWPaxaFBznjpKVC2RrfHabdDji6i3JbK7gwwNRnARt6rZ5Sp+WzUh2GIFy9eAADSNN2wNhbXNRuncByM12GBwLOkqQHWKYru9NA76ELBrksTl+24zLagLiUaYzAajfDVV1/JrPdsNpMRJNbh9YNjDFd6uI91fp0d6DFlnrm2Xl0Hf7AF8yY6/gLXbohpEZ+bZQy2LEuGyK6urmQ4IM9zAZj9Uz1ATnfYNA1ms5kcKvfB2Kgti1+69kxl27VVCNxUxfq+R1mWUpTQcXG77adLqVR2Esq+75GmqfR09bV8r35SgcqgswLyCsqjFU5XDrn/BwFMAVm10VUTWmIYhjJ8NxwOhWRw8IzC8dD1c0Us03GT/D5N042ftzspVAQNNgFmWNDdmI8tHrpOC3WBhqydYzW8XnsZKi6V9eLiYqPrpjMAykvytT2YsJ0d0Lj0XDYB1n3hewNMd8UWF112URQbzYTJZIKjoyPUdS3Egq53NBptlPa0q6fLoavSTydwDAiAEDntnqjFmsDo3wObTy/etXTxhu6eTQSGKB62PlAqOd0uR3in0ykuLy/lURjOl+m96cLFbUOC2lppVPx3O0Y/uFRJ1qstja6kLEvZxGw2Q5qmODo6wrNnzxCGoQy90bKHwyEuLy/FOrTlkqBx4ywx0kXzgTPdvdIgkiRpZn1Xr3h70cVZliUVMP159BAsetBy6Jr1s0hJkmA8HiNJEmle0N1qHqGtU89fUWZda9ckk+fFs6I3exDA2wSKwZ7WyYJ+URR4+/at5J+TyUSm/DXIrutiPp9vNMAJkk7cF4vFxqEkSYIoihAEwUZVSzNIukCdP+86NkvAaJ15ngtH4J64HzbajTGieHxKAQDG4zGOjo7Q9z2++eYbLBYLADePl2oAWVZdr2/+hAQ5DeMyv9fhkpats4gHAcyD110ePu0QxzHSNBWg1+s15vM5yrLE6empzFUlSYKDgwOx6vV6LXVoHZu4aVoCFYfVLZY8WS3SDXZ6A21tHyvh6aWvZdtQfw5w7c1Y0OBAP3N1Nln6vpenFSinfuaZLp1xWnsfzmnRK7Abp/eoCRj3quPyvQEGIDFEF8P53A2fDyJIZVliPp/j6uoK3377LQDIU3d8ynC5XAqJ0gerXa4mc8YYGTYgwyXQXLRY7bYY83dZ2u3STWdZJiDrUVbKzqcoqIw6/+bTFiSKOlZvT57yvpolsyOnw5e21qIo3hu2eBDAjA8cERkOhzLdQS1jxYabYC54dnYmFnh+fo6Li4uNYv32BCSF57+aOOi+MQ9NK4ZuxDOW6xx+F4C1BQOQeSfKxiIF/6TS3t6eAMxnqCmXJn7cL8ECbkZi+YA3lZVNCl3R4tKNEObi2yTs3gDruSdqDctqfd/Lg16u60oPFbjp95IlaoEZ51j60zVenR9rVkzvwIfWqP3bLp7C0xp2ZdE6j+ReWDfXNV9yijiOhWETQN1aZDjTk6Pb7VO2X/UYMidK+VA830+ySIavawK/EcB6kXzw2SBai+5hchOMyVQO3fjXykOr0eOhBJj5M11RURQypksgSIDoqgg0v7+PBTN3pqzGGOl6MWXjFCRLkfrPMrBNynsxfutKkx5g19UyeqHtIUbGdS4CuV1KfTCL1qkBcJM28Sk5PRBHMBm/2NzXRXQyVWoxLX3bmqk41HDtlshidWqkhw/4832aDcANk9bp23q9lulF9nn5FwCosE3TyDW6qkZgdOeN4YeMWTN03o8yMqbrPrTOErT1PhhgDfRt04JM7llD1o9t6EqTBoDayfy6bduNZ1x1dei2nFFXrQiEvr9mlruOzWorua1DQ2W1bVsUnMP/VH4ODJJc6aVLipoQ8vckVgRYe0CtuDx/non++tD6KMDbbJexhwyVRIFdE8YWvkYrpYLQwrWms49KAbaB4vt0XVbHdF2E1wTrPlOVeqiActOTdF0n4YGpED2Q67oSk33f3/grOOwYcV+0TODmLwpsjxSTqOl0T7tkPYzAM3jwRAcF0v8aY6QqdXFxIe4TgDQc6HKp5bRyziVdXl5isVjIXC8B0hUj/fkETY+66Nf4Oz3NwVRll6Xrw7ReKg7DkO/7MkhX17U8KhqGIZIk2XC7jNn8KwcEgkSRZ6M9Gi2X56lj7G2tUCq6nsq8N8C0XG6EOeLBwYH89ZizszPRfB4EtVs30plqUOPZfnNdd8PdasKla8TaSjUv4OFQ+O2u0y6Lyqs/k4ufmSQJLMsSxW6aRryV9jb6wNlsoHcCIN7NcZyNfephQTZN9B+A0VUvWrkuxDwIYOCGfHCjvu/j/Pwcxlw/28vpQbYCdf9TM0YOlmnLYBdFg6eBo0vS7oguXbcG9feaJ+zaTdJAUnmobHxMln+7an9/H+/evcPbt283/uKNlp3kiCBruZhW0To5GME/J8VHZtM03ahjk9kzs9CPDt3lop/+15VHvp7+4vsjX08AP/L1BPAjX08AP/L1BPAjX08AP/L1f6wlDNWS+d3MAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 113\n" ] }, { "data": { "image/png": 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pmUEB05uoXobyUCtW/2wcacEEEBQqN84YwIebpimfY23YsizhTtUiN4sDfJZaA2YeSaLE8zzZIMEKC/3UXFoSPQvJALrNkwwWDYBnxQICKFov56JQWJDgfrlH1nnpVvf29iRjmJ6elnxbVVQSKb1eT/CONK5/rnQczL/5/XE440gBqxbCDbA+yYI6eWFqFN0ymRgeOAChGE3TFFdEbWY5Lp1OT7TjqF361H4KgAfE56ue5nnyYDWPpLBU4KIKVp2PguBZjcdjdLtdbG9vI51Oo16vY2NjY6L6E4Yh8vm8cMz0dpyDXDd5B7VGTENTO1+OA1lHumg11lLQBAnM+ahRVAYOtbWGRDzrw57nIQgCtNtt2Sg5a8YY1WppTd1ud0KROA+ACQumhp+UyVK9AvfNkMOYrx44kT0AESpJmY8//hi//e1vcfv2bakVsyjx/vvv449//CM2NzelyEKFIaBT3a7KPxwOH+oZqPH68DiW6GDzmNoDxE1ycvLNtBoujtWUbrcrYImxtdlsCo03HA6lYLG3tydlNubTasGf7owbU6lFAjMqyEnHl/Vw0eLopUzTFHdIL8I0kJShYRh4//338eDBA7zxxhvI5/MT4LFWq+G9995DJpPB0tISBoMBoihCMpkULpwKzHUdzrGpgGrsPTWTxVhLYfGBanWFgZ/lPi5C7YDQdR1zc3MIwxC+76Pf76Ner6PRaEgO6jiOxF8W+dnjxHIcXZQadygYWkG320UURYjjGI1G48RCVrlrAku6QVoLMwAqbr/fh+/7sod0Oo1SqYSf//zneP311+XwgyCAaZr47ne/i16vh1QqhZ2dHfR6PbTb7YkGAVbIOLcKxihINhL4vj8hj+cWMCcDIBMdDv7UTlqT2lPVbreFnuv1elhZWREyfXd3F7u7u8J0kXifnZ0Vgbbbbcm5yXZRyRifuUHmgiw8qLHyuKECGc6h0pYEd7Sc0WgkbjkIAliWhXQ6DU3T8Oqrr0p9fH19faIpsVQq4caNG+h2u6hWq8jn84iiCM1mcyKvJshU0bwK5kzT/EKd4FQC9n1f4D43ze/pqlXtUjs02LLDg9ne3sbbb7+NlZUV/PSnP8VgMEC1WkUURSgWi/jss89QrVbx4x//GDMzM1JDJm+t1pgZA6lozH1JfzLuLy4unkjAFCy/uE8eKP+ukhGtVkusd3Z2FoVCAaPRCC+//DIAyLnpuo75+Xl4nidNCc1mUwQWx7H8zGoZsQv3dTgGMwyqPV6nEjAJBKJeNTWhm6C2EUiRvWGXBmu2dCfsDCwUClhdXRWUffv2bXHd2WwWhmGg0+lIzFWVS6X+iOI5B1MUy7JO3JNF9oqxFXhm1SrIJG/OUOP7PhYWFlAqlcTD0Yuxlvvaa69hampKMEoul0MymUSn00Gv15MKm7pXtd2ITXhqAYOpIec5dU/W1tYWcrmcMCjUOLouTkSNI2ggX20YBorFIjqdDtrtNq5evYrLly/jypUr0iZDgV+9elWsdjAYIJ/PY2trC81mU+IvmSCyVHTlZMLULgtd1/HOO+/gzTffPFbABJJRFE1kBmSM6JbJrxNH5HI5XLhwAQBk7VR4FjpIK5LMII7wPE8ERoHzBgV7v8gRqKwc18ZzOo7JOlLA//jHP3D9+nXYti1aTiCiFtcJPNQiA6tKhUIB+Xwem5ub0qyXy+WwtraGZrMpPc7Xrl2TDWSzWei6jlQqJTVUNTXhgap9SyrSNgwDW1tb2NzcPFa4wNMWJLJmBFskdGg5LDLQQ7iui6WlJZimKYUHkhW9Xk9CRRzHqNfrUnShhdIymQ6q111IBDH3V3NehsRut3uiatmRAq5UKqjX68hkMqLFFAIAiRNElSrSzmazyOfzohwzMzMSl9ntUSgUMD8/Ly0qRI20BNZSWWpjTso5GPvpOlVCYDgc4rXXXjuRgIFnramMbwCkekaBs6Fvc3MTly9fRi6XE4UmUKzVapLfUgEZq4GnrJnrutLOxLWqTX78mXw9wweNSe3OVMmd5xZwvV4X8KBys8AzEoQTEeSQF56amkImk5loGGAzm+M4yOVyeOWVVzA9PS3KocZVtcJCN80mNs4PYCJGU/sBiLc4ychkMtIpcrjMx7jc6/XkHAzDQLlcFlfZ6XTkhsLm5iYajQbm5+fF4tlqEwQBpqam4HkecrkcCoWC9HwTETNWq6hdbZGlx2Ioogc8lYBV10fLUbVbZY3It7IhYHFxUT5P18V4pvZK8xDVNhe1eW5mZkZSKAqVIEQt1B9mddQC+3FDVWC2EKnKzD2xFvvKK6/IGtbX17GxsYHNzU2sra3B933k83k4joP9/X3s7e1JB8pnn32G3d1duK6Lubk5jEYj6RxViw5UVBXjMOypzCCNoVAonE7ArOXy8IkU1ZorD1e1Om6Q5TIqC3lWdl8ahoF6vY4wDKXuyhIh21PZYaleOqMwyKyRJaNAuPnp6ekTCbharUqra7/fl85NlYUaj8fiLqemptBsNhEEAd5//32EYYi///3vuHDhAr71rW/h0qVLuHr1Kh4+fIhHjx5heXkZjUZDGuVWV1dx7949BEGA/f19XLt2TZ5PL5hIJKT6xEzh8O1OtcHhVAJmrKAAgGekAgEEF82D1jQN6XRaiA5CfF3XsbW1hY2NDdRqNYlrpCtTqZTcdWLJzzAMBEGAVCol7p5N8Go9VGWdNO3p9U61z/m4Eccx9vb2pLuSv1OpV/aNJZNJhGGItbU13LlzB5ubm+j3+8hkMvj2t7+NixcvCsDM5/Po9XqYn5/HcDjEwsICrly5gkqlgj/84Q94/Pgx9vb20O/3ceXKFWSzWaRSqS/ktVwT90PShwbx1ltv4Wc/+9nzC/jDDz/E1NQUTNPET37yE5mMm2axW42LRHasi3Y6Hezv70uM2trakh7pZrMpnf+WZcF1XXQ6HRSLRem57nQ6sCxLrq/Qg7AVl4hUvZvMJoJ3330Xv/rVr44VMPNR1VWrhQfgWYdpv9/H9vY2qtUqtra2sLu7i1arhTfffBMbGxvY3t7GeDzG9vY2tre3UavV8MEHH8DzPNRqNTQaDYRhiOXlZTx48AA7OztCKF2+fFnOl65ZddXEAyrP7vs+5ufn/+nejhTw7373OxiGgUuXLuFHP/qRFKJVGu9wDZb/DcMQn332Ger1OprNJp48eYKtrS20221EUYRSqSRvAiCIsCwL+/v7mJ2dRb1ex8LCgvDTKhdMofLrMMGwsrKCu3fv4u7du8cKF4DEXQ4VV6i3HchgdTodXL58GZVKBbVaDU+ePJm4hclWWHIBvFYbhiE++ugjAY1E7lNTU2IczIsBfME7ce8EpMQyly5dOp2APc/Dzs4OHj9+jGq1isuXL8uG1bhHdwE8u/v78OFDfPDBB3AcB3t7e7h//z6q1aqkCWrqw/vFtm1jZ2cHYRgil8uhWq3i5ZdfFg01TROu64rHOPw6BAprdXUVT548OXFFSS1i0Hq4P+bhPGDf9zE1NYXl5WVEUYS5uTm8/PLLcmd3NBqhXq+LAEgnMgcOw1BQNdkuVtKYdgKQlJEKrDJYKrOmaRpardbpBHzt2jWsrq6iVqthdXUVy8vLQrdRoGr6QCRNF3z9+nXs7+/DsiyB9a1WS0gDgikulIdH6J/P54WpInMFTFZ+mAezNSYIArl9f9LLZ2SbeKGLQ+26oKfRdV3CBz2Xeu20Xq/LTUxaPQEiU59MJiPxnfkwwwqzCqaUBJOci4rBTpPDzQnPJWDeeP/kk09Qq9WkcsJNq3d9+eoB3/dh2zYWFhbQ6XQwNTWFK1eu4Ac/+AE2NzdRrVYRBAG2trYEoeu6jlwuJ8qTSqWkIsOCA+M9Q4DK7KgMEN2+YRhyY+G40Wg00Gw2YRgGCoXCBEoHnvVFDYdDpFIpYaC4Jube6hVYli15R5ohSPVC/JnWSWNhqkgEr1bwVF6BjfIsbDy3gKnZ165dw2AwQL1eR7FYlGsianGBxW/yyK7rSu2T9dALFy4I/7y4uCitKZZlyTs/2OjO91w4jiNMkNrABmCir5pVl62tLURRhEwmc+Kmu7feegvVahWVSgXf//735ZBVHoAHzfio5si6rkvrLhEw3anqqYgjgGc1XX5WTffUnjJiHO5TfZOA7/vIZrNHUpZHCvjjjz+WjopWq4VPPvkE169fl8Mm98w+ZgqSDQAECSxAkFDnhTIA4oZ4iOpVUYIovuaBoIJXTThowc1mE59++qn0VPOqzHGjXq/Llc5arYb5+fkvpEv0NHSH6vrZ2MB8VG0UIDBVWTLukyVDtdeL3kKtSatNhvx7r9fDhx9+iIcPH6Lb7eKXv/zl8wv4wYMHol3NZhPdbhdzc3OYm5sTIp69VsDTPM3zPNk0r6aQwQrDUC5YUUDdbleslQ1o5GepJOoba9QuErXiEkUR7t69KxfBEonEiV30jRs38Le//Q337t3Dxx9/jPn5eXS73S/0edGl0otQaBQQW4EZWsgTqGwe8AzUkaih8qjpkUpm8Ht6StbXP/zwQ9i2feQ+j23ZYcsNwcvOzo5YKnNPxg/e8wUgb6lRqx/8HUEQBcO7vnwrDzWUHoAolhaiIltu/uHDh7hz546gWb6Q5SSjVCrh5s2bqFQquH//Pn74wx8K4XC4DkvLVltWmcoxV+fdI4IzdrWofIEK4Chs9ZUXPDc19tKCAeD27dtydkcxWUd2VVLjCDYqlQpyuRwODg5kA1wM3ZHaQ5RIPH1dQ7PZFGqPnDI9g6rhtEZWVNhJyfhFzWaMYnys1+t477335GprJpNBqVSaQMRHjYcPH6LX62F5eRnpdBqPHz+WFl+uBXh2EYBKxeoTPYr6wjN+huvk5wkUDxdH2CFDcMVwwLMheOv3+/j000+xsrIifWunrgerCwCeVl1IJbZaLdFqbpRVF7VgrtYwPc9DqVQSYKY2slNJ1PKXiiIBSEmNI45jdDod3Lp1SxA+X9fENOIk46OPPoJpmnIH9/79+ygWi/A8T1qDaH0MOSqbBzwrgPDc1KKMWo1ieywHY6zagqR2UNLI6OL39vbw17/+FcPhUG4jnrptlodILpn3XbkZ9imrvLD6ZjdeTSFwmpmZEVaKG2ZcASBaTm3mvAQWBCVcVxRFuHPnDtbX1yduN/BZJ73Z0Gq1EMcxdnZ2EEWRNCe88cYbkhZaliUtTKQ1v6yFmCkjPRK/V90r4y09FmPv4U4ZCpbCPTg4wLvvvotqtYq5uTkkk0kcHBycvm2WwlX7cSlMXvUMggCe50kBYjgcCsghIInjWCo07FxgDFO7BunmODe/gEmr4M/r6+v44IMPJl7DxBFFEba2tk4kYGIJvhoqmUxifX0di4uLAhpJ1hy+G8R9sO7LM6ECM8RwT+pFAZ6pSlxQoGqHKt3z7du3ce/ePXnzULPZnHgfyKkErB4w3Sktie2vg8FAuhPUt9yoUJ8WqFKbRMJM3oFnsUgtdjMmEUmzaWB1dRX7+/viJn3fl3TNtu0TXx/lKyCogOl0GsvLy2Jh7XZbKkS8WiMHaBjodrtot9siYOIHvluEgqRn4x4PhzJiCno0tYtzZ2cH29vbkjqS0GGl61QC5qFSuzqdjuSszE8rlQpWVlaQz+cl56PmHW6nIaJkAxvfH6U2tasFf87LuESLAJ7GnYODA1Eaukk24JGkOMkgEGL9NZ1O46WXXpKXvsVxLG/W4bnQs9ENNxoNyTrID/DVg2oLLQGX53myZtV41IZ2Xdfh+/5E48DU1NQXasZH9UWf/19Xzvg4f+P7GR/nAj7j41zAZ3ycC/iMj3MBn/FxLuAzPv4fhodHoaYRCWcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 114\n" ] }, { "data": { "image/png": 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Wr6IosF6v8f79e7x9+1ZeEODzVWLzLjdX0d6DBWecpWmKDx8+yJtMp6enMtcixUQBaXUu1YpsQtiJ8buEqwQoRHbv3r3Dhw8fpAMj76aSEjxLHWHTCPclt6//F9JTW18Ff2rrq+BPbT1Zwf8PucBpDpNOzrkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 115\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 116\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 117\n" ] }, { "data": { "image/png": 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DT7+p1WrctRFhoWNcshRJ0mRFKpF0HdV9y7IAvGxEgiDAcDjk3PD06VNsb28jCAJ+0IBKGrE6ykFRFC0HnHZMPpKtqgphGLKwRxOSB1BfLVuh2+1yGSJmRfeXBQ16TTEcBAGOjo5wfHzMndfPP/+M8Xg8d+hICRB44UUUDr+JshJ3Ji5Oi03TlMuK/DltFJEU+QkpWSAk+ksLp/iWlRR6DIV0OPIcWhvxdwofyvR0bxI1lgYuP7xDpyJyBqesSyeetNNkfVl/l59Lk61EEtJ4PMZwOMTBwQGfhsoSF20c5Qt6LwugQgjYtv2K/P3awIGXmV0+86IJaJfDMESv1+PHLEkbpxIli4uLGj09lknNyPHxMQ4PD9Hr9TCdTtnb6Lf0sI/8VKQscctkaDabLQ9cJgN0Y/k5Nqq71B/7vs/1noiH/FrW3MjS9DiX7/vY3d1Fv9+fU3dt2+ZER7yegNN9yThUPuXSeSau80Cfx3wWz6VoErpm8YBBvm7xlIXcViY1Z63j1xQVeW750c7zzs7+LPCzwJ/l8mdd92vXL34mb9KvrWORA5y33vMA01ja4m9yzevcR1ZM5PMw+fuzrln83Wuv83V25//jeGf/h8J74O/aeA/8XRvvLPA/AgRM5Uv9IWJOAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 118\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 119\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "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": 199, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:55.660481Z", "iopub.status.busy": "2021-10-24T06:28:55.659053Z", "iopub.status.idle": "2021-10-24T06:28:56.440378Z", "shell.execute_reply": "2021-10-24T06:28:56.440990Z" }, "id": "7FijK5FgDRod", "outputId": "5a84620a-4fb1-455a-b575-659207065fa9" }, "outputs": [ { "data": { "text/plain": [ "0.925" ] }, "execution_count": 199, "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": 200, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:56.454863Z", "iopub.status.busy": "2021-10-24T06:28:56.453718Z", "iopub.status.idle": "2021-10-24T06:28:57.222534Z", "shell.execute_reply": "2021-10-24T06:28:57.221938Z" }, "id": "US-2Y0IVDRod", "outputId": "863d6460-39c6-4cd2-8891-352075880fb6" }, "outputs": [ { "data": { "text/plain": [ "0.7" ] }, "execution_count": 200, "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": 201, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:28:57.228693Z", "iopub.status.busy": "2021-10-24T06:28:57.227723Z", "iopub.status.idle": "2021-10-24T06:30:03.337396Z", "shell.execute_reply": "2021-10-24T06:30:03.336850Z" }, "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 0.725\n", "110 0.725\n", "115 0.7125\n", "120 0.7\n", "125 0.75\n", "130 0.725\n", "135 0.7375\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": 202, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:03.345353Z", "iopub.status.busy": "2021-10-24T06:30:03.343853Z", "iopub.status.idle": "2021-10-24T06:30:03.350093Z", "shell.execute_reply": "2021-10-24T06:30:03.348568Z" }, "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": 203, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:03.357995Z", "iopub.status.busy": "2021-10-24T06:30:03.356979Z", "iopub.status.idle": "2021-10-24T06:30:04.430721Z", "shell.execute_reply": "2021-10-24T06:30:04.430115Z" }, "id": "zHFnDE4iDRoe", "outputId": "60d99ddf-48b1-42d2-8c9f-e68d91c98714" }, "outputs": [ { "data": { "text/plain": [ "0.8125" ] }, "execution_count": 203, "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": 204, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:04.434933Z", "iopub.status.busy": "2021-10-24T06:30:04.433831Z", "iopub.status.idle": "2021-10-24T06:30:05.205579Z", "shell.execute_reply": "2021-10-24T06:30:05.206615Z" }, "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": 205, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:05.211988Z", "iopub.status.busy": "2021-10-24T06:30:05.210282Z", "iopub.status.idle": "2021-10-24T06:30:05.671833Z", "shell.execute_reply": "2021-10-24T06:30:05.673151Z" }, "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": 206, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:05.679206Z", "iopub.status.busy": "2021-10-24T06:30:05.677377Z", "iopub.status.idle": "2021-10-24T06:30:06.338050Z", "shell.execute_reply": "2021-10-24T06:30:06.338446Z" }, "id": "elDGNRWiDRof", "outputId": "6f2f88fe-1ec5-446b-8552-95c0c39d1c99" }, "outputs": [ { "data": { "image/png": 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d5fN5Qz/lctkObCwW+8RaYHE7nY6q1aq63a49ezweVzqd1vb2tnZ3d02hnZycqNlsqtfrWVRvUcU0Go20v7+vg4MDVSoVc7MxKOfn5+r3+4aEfDRoeXlZqVRKa2trWltbUyaTMZfk/PxcW1tbpjhBYu1225QAyCIWi5nAe7SG8vNzwcCsrKwYDXDdANEyH1ziWCymO3fuKAxDffDBB6rVaiajlUrF+MJWq6XhcKiDgwNtb28rErlIU+j1elpfX7c5np2dGRI8OjpStVrV8vKyTk5OjFccj8fKZDLK5XLK5XK6ffu2yuWynj17ZrQAaK3VahnaXGQgD5PJRMfHx0omk6b8J5OJPZ+fp3SBPIfDoXGmjHa7rVQqZWeUwEY0GlWz2ZxJf+GzeS3Gw7uorH2j0dDy8rK2t7eVSCRMbj+zUsJ946B7IUokEkomkzPwG809Go10dnamTqdj2vLo6EjRaFS7u7va2dlRsVi0FIFUKqVIJGKCinLq9/s6OjpSq9WyA4LrQth+eXlZg8HAFsNbmmw2u9AGS7OuJMqUeWazWa2tralQKGh5eVntdlu1Ws0EALQDfL9z546hrPX1dYsInp+fK5PJaGVlRZVKRcPhUGdnZ2q1Wjo8PFSz2dT5+bnW19eVSqWUyWSMy2Djt7a2lEgkVKvV7CB8P+RotVpVrVbTcDhUMpk0yM3nEGkEtSFcKEuED4OVy+W0vLxsPB8HAAMhyZ4RTq7T6dhB5Nnh6DAKuKcosuXl5YXC5RhNz/GAwgaDgVKplN58800NBgNls1ml02n1ej0lEgmNRiPjyYrFogqFgimlMAy1urpqXBTv7dcKtNLr9QxZgwKr1aqm06lSqZTJgufoeL9FI6mcl0KhoNPTU3OL8/m8eSR3796d8Uo8Cc+5JUXEE9jNZlPSBUJCqbM27BP5UShgzgLAZDKZaDAYqNVqWQT71q1byuVyOj8/v5JyuFIpeb/P5zLAp+DWdTqdGSgOVMTfjsfjBv+azab5naurq2ZFut2u6vW6uYatVksvXrzQ3t6eBoOBfSaKB1cD6wUngjCMRqOZiN9VI5fLKZPJGDl4dnZmbiILjBXgECFYbDJ+9mQyUS6X09LSkg4PD5VOpy1aB7QfDAY6OztTs9nU6empTk5O1O/3zT1Jp9Pm/jWbTZ2dnRlK2dnZ0fb2tj766CM1Gg3z+xcZQRCoXC5raWlJvV7PDiUkJUip1+uZtWQ/pAtBhvPqdDpKpVIzIXWMC1GuwWCgRCKhMAzV6XR0eHhoKAzeg/WbTqfmwrPm5C51u11JWmg/4XFQmisrK8bDDQYDs/qRSERPnjxRIpHQZDLR2tqaut2uXrx4oel0qm9/+9tKpVLGn+J+gCZ4JuYtXaCNdDpt7ufKyoohSYxIu91WoVAw1wgKI5VKGVJbZOAhnJ+fm8uKMt/Y2LDXgDJBOqToxGIx47c4W91u1zhSorMvXryY+SwfwJAuI9a475FIRM1m084MyLJSqVhgaDKZqFgsvnJuCyEltLpPUMT1YIM6nY56vZ5isZjS6bR2d3dNIFmEs7MzNRoNtVotJZNJlUolFYtFJRIJ08gIPBadzz49PVWtVpMk7ezs6Gtf+5qR6hsbG+YKsjC4fIsMMn1xHUFfCDZC1uv11Gg0jLsqFAra3d3V2tqaTk9PTTE9e/bMhO6dd96xTHAfFRkOh2o2m5bJG4/HNRgMdHJyovfff1+JREI7Ozv65je/acKAO0RiKBFRIn3XjclkonK5rOXlZR0cHJgRQEESkWOPTEheRjNxr0C/fPby8rJ6vZ7y+bxSqZShraWlJbVaLT1//lyHh4fqdDpG2p+dnRmHg0KGVE2lUvY5/hbBIsoXFJ5KpSxRdWVlxRROs9k0hQEHurW1pWq1qmg0qoODA1tneEPQ8tnZmV68eKF6vW4Z1BzydrttLjiKezKZ6OTkRI1Gw1zaer1ue5fL5bS1taVYLKZisahYLKaPP/54ob1EgZ2dnRmiBrXjZvV6PVMqcGYkFxeLRTNG+XzeuM9MJmNKKZlMqtvtan9/X51ORycnJ4aCiZrCMcMZkiMoydYUr4ogAcr6VeNaTgm3DEtGNIlQL5aSCBkLAjkL9E0mk0okEtrf39fp6akk2QLgEgAh6/W6+cLxeFyNRkOPHz+eQSY///M/r8FgoGq1agtBCBdFtuhhJYLgkwEJCQM9UZCHh4dGTH/jG9/Qt7/9bRWLRUUiEYt2xONxPX/+fAbmlstlNRoNvXjxwlzU8/NzZbNZ5fN5VSoVtVotVatV1et1bW5uqtls6s0331S9Xtdv/dZvqdPpqNlsqlQqmdvkozfXjSAIbE64GaC1er2uRCKhn/qpn1KtVtNHH31kSuXu3bt644031Gg0dHx8bIEAuC8EvVAoqFAomNJuNBp68uSJjo+P1elcFGskRPzxxx9rMBgoCAIdHx/r4cOHarVaarVaZqhQKqQ94FZcNdbX1zUcDnV0dGQIBrcVGUK5drtdHR4eamtrS7/v9/0+PXz4UJFIxJ736dOnqtfrikajqlarM3k3S0tL+vrXv24UA4oIZDkajfT++++r0Wjo7t27KpVKKhQKGgwGxuEtLS2Zcj4/P1e1WlWj0VhoL3mdN8QYTRRiKpXSo0ePFI/HdXx8bCkPkUhEtVpNiUTCosbQClwbIxcOOazVaup0OhZBXFlZ0U/8xE8oFosZR1kqlbS2tmaIf2dnR8+ePdPJyYkKhcIM9YI8fNq4UilBMkoyaAikR9OR80EUBn+xWCya2yVdHIhSqWRICBfPJ1tOJhNDDj4RE1fm7OxMiUTC+J1ms6lqtapms2mZzZlMZobwXmR0u13FYrFPaO90Oq1sNqtOp6NGo6Ht7W2DroSA19fXzcqdnJzo+fPnSqVS2t3dVa1WUzKZ1NramvL5vMIw1Icffmj3xXZ2drS8vKy9vT2dn5/rjTfe0Hg8VrVaVRiG5lbu7u5aNAeEIskUDND5uoHy397etsDE8fGxKpWKNjc3tb6+rlKppPv37xvXEgSBdnZ2VC6XjaDsdruKRqMqFAoWtcnlcjMcBakDuO8goXK5rFQqZcjy/PxcpVJJb7zxhmq1mr73ve+pWq1qa2tL6+vrFnWLRCILzbPVamljY0O9Xk/FYtEOoUcRGxsbKhQKhnxWVlb09ttv686dOyoUCqaMV1ZWTNHev3/f0i+KxaI++OADDYdDu9cIV5JMJnXnzh0z2h9++KGm06k2NzeVTCb19OlTHRwcWPoB995wZxcNzlQqFftszlSr1TL+dm1tTV/+8pd1eHhoVAdpMp5XAj2B5OGmQMGkG1QqFZXLZZ2fX9wtRalibDFS29vbevjwoZ4+fapkMqmHDx/O3KH0PPWrxpVKCZ/cJ9DBGQGLyY/gMEUiEb311lvKZrOGqph0IpGwRfHXJnxYnwVh4VZWVpROp3Xnzh3jaL72ta/NWGg2BmIU3stfy7huxGIxNRqNmb/JZDLGm+zu7mp9fV0bGxvmYjx48MDcvmQyqVwuZ4qQVAKfver5Lnx50Nn6+roSiYTeeecd+9k777xjruS9e/eUTqeNkwOFzV8ivWqQCwacjsfj2tjY0NramlKplHFhyWRS3/rWtywShUXHZd3c3LQUivF4bNFF9hD+7Pz83CI8JPFFo1Elk0m9+eabZkBIshsMBioUCqrVaia0hM99wuV1+4giW1lZUblcVjKZ1M7OjtbW1nR8fGzuUjwe15tvvqnl5WXl83m7NP7OO+8Y6ke5cZhKpZK2trYsiLO2tqatrS31ej3lcjm7NjUajfRTP/VT+uY3v2nKDQJ8c3PTUAmBBAIcd+/eXWgvgyCwrHQ4VtxNyPTJZKIHDx6oVquZOwtKhsfibGLwfQY7EfBSqaT19fWZiPp4PDY3tlwum7eA5/PgwQOVSiX7LCL0yPZVOVnXdteASPN3bci/gUSMx+N68OCB+cflcnkm/ZyHAnXl83lJsiiJzyDl4OGj8nlvvvmm8TdvvvmmvS++MIefMCV/v8ggiociI20hlUpZMh3RBeZ7+/Ztra2tqVqtGheTSCS0sbGharWqwWCg3d1dpdNpO0z8PcLZ7XaVSCS0vr5uvnkul9NP/uRPajKZ6N69e6bESEDlWSTZ+oA6rxselmezWTtEW1tbFmEbj8fq9XpKJpOmKEDHIC1cXPhCXBO4LpDG6empstmsEomEISr4MZTCcDhUNBq17Pk33nhDOzs7dlUIhYR7fd2AH0yn08Z95PN5O2C4d+wFUT7en0jS+fm5Tk9PLXSODGMQ0um0Dg8PFY1GVSqVNBgMLGrHwQVZcPCJ7JFgOhqNDIFLMhdnkYGBJ02l0+lYAAkFEI/Htb6+rnw+P5PUGYahzQMZ4hxiVP01JoyYv7YFf4xBZX3j8bhKpZL9nb/lQfSSpNlXjWuJbpAHWhR3gegTSXCQXD5zW5LxHkA4DjslKngtCIVEuaWlJYPeJGatrKxYxAhSLgxDI/p43vmM8euGv3YBMkRZbGxszGQGQ3zyebibZHP3+32dnp4qGo1qc3PT1sTDYkjUYrFoiWukDTB/Ph+CFXcONwGo769oXDcgWEGwoCXcXRAm7heoiflxwNgn4PjGxoby+bztDTlduPVwDD5rHEvs3y+fz5vS5GD5e4eLGBkil6VSaSaZFn6KZMHBYPAJl4LPJQrp1x2jg3zn83kdHx/r7OxMpVJJR0dHlt5ChArlhHL011RwczHwzWZz5vbEdSORSCifzxvZznvC5fpLzITzSUZmzgQw/DUewIH/WTab1c7OjqRZtI/hJ+cQHcD74+6ztii5fr9/5V5eeWpRFj7F30NwrDsWDEEGnsElwOSn02mLyPlwM/kaWE64Aw4x1gzOAtKcz+JweUvsr74sMnBJE4mE2u22CWqhULCcC4SZ9yWvg83h9zwPLuzZ2ZlyuZw9V7FYVKvVUjabnSFOyfLGymSzWVPKXtmiQIHfi3Jn/i6XFzyuOxAyJvucA8wXSptkWg4bFpP5eRSLHGGI/P0qFBToC2HmOSWZ8IMqF5kjRsPfSYOKYO8I8fO5HB7SWEg9IX0DxEw6QzweVyaT0d7ensrlsrLZ7Ew5GdJDhsOh5Vf5lAevkEFiPpCz6Dw5A1yNIcWDM0UwIpVKmVLyngTRMF9ex1+exc3b2NgwZeIv2uPJeBeNaiAe4Xq6AqT2qnGlUkLgfVkRPpzJQ1rhUrDBCBhCS14CMJIDzCKR70EtIvJDJJnm57BmMhnTzEEQmGuAy4i1WTQqBf/BImNhUKYcCgTM59awgZIMUaRSKcvjISLjM5o3NjZMAZFjxXpxULAkKGv/WaAqlNWiguwVDZEv1hbo3e/3LQdHkj0La8/VEmobsQc+MAGC5jO73a6h3CAITKFhQJAp7i4iUyiTs7MzQ23XDThGXEyibJDlqVTqE2kUHEYQjlcOcJccKvib1dVV5fN5jcdjVSoVez8SNNPptHkR0mUghwu8KD/kdnV1deaq1nUD91fSjLv2aYcdGYEmwbiQzkCSMXsGaOB75G1zc1O1Ws0AAnsHr+mTXD0PyHn0co6sfNq4UilxCPyBRfuCBiCCsZA+g9Rf2gSi8nCSLPObipQQyLlczu5MkS/kfVsED1fDa2CffLcoFOYOGAcQK4Zi9G4VC+2vWLAhKDGIRV99APRFRjCocDQaGcHsrYuHxiQysgccAH/faZHh71phcEBFWDMqOvjgBgeSCCXXiFKplIWQeVYvoLg80mX9J1AMbiRcBr8DTfBc/B40d91IJBKmfKTLe41QDD5r3P8LqiHD3pPBhLJxO3HH/YFut9tG7DYaDZXLZVs772J7ueTzu92u/XxRmV1bW5updoBMgfZQQtLlRXoMLvKNQUK+oC1wUVHQ/l5qsVi0Kyi+DhoKB5lhfnzPXNERVynfa6NvfpDhyuEl8uQ5JJQCbgglc0n/h4jGFSEbGF/Tc1bkRcwjIKA/N+19KJMN8PzHdYN5MIdsNqt6va52u21RCVwNNpCDBHQm6oEixwXhYPk7bXBTrONoNFI+nzfXSLrk4hBq75IiVCCOqxLR/IBM5sATRfHlYPH/WTv2iggcSZ8oUxJj/U16UE+xWDTeELebxDwUKnvmbwyglFinpaUl5fP5hVAESZagK/Z33v0EDYHy4Tjr9bpdWg6CQGtrazO5dHBBGOvz83NL/j05OdHa2poRz3CiPDcuJJ8HNwOyzmQylsO3yECRMDeMN0oQefV7Oc8Rcz2r1+sZhSFdRmqPj48lyVJuUqmU8vm8JUvDLfL5PqIsXZbuga7h9Z85JQCoiU9MMiRaGE3JocYVw0LiZg2Hw5kCZQiHJ9J9MTlPTIIoPA/hw+AgJB89Q1EuqpQk2QGgDgx5H4eHh4ZasGY8i/fLQXCVSkXxeNzKq/B65jVvDXFVer2e3bJmHVFwbLC/LMk+TKdT1ev1hebY7/eNsIb8BK14ohsB82S2JPusk5MTC3SwR7zGJ59S9mM0GqnZbGp1ddUqDvI53v3kGThorDFKb5HkyTC8rNfOlRAiiriAGBO+UOy+kgO8nTd2IA+qAPhrMqlUSvv7+5b8CeqCV0QhEKTgbzHu8LaLIl/WHgOJ8gGJsB+cP382MUAHBwd25ri10Gw2rb5WLBaz//vUCJA8ig3jAtr16IigDnKxiGG5NvqGi+VDiVyTwLVAO0qXMJ1CWWR4+/dcXl62Q4x1xQ8FMuInE51AUHALOLRMnp97YtZ/7lWDXBqUI6HUVqul/f19LS8vK5vN2nN6F4vwLigSTqFQKJjP7y0XAo4l5goFrhGoEVcLJYsCQSiolMhFz0VGtVo1RcHhR4BRRB61YPlQqu12W8+ePTMFg+vMHnHImQ/uKki5VqtZNjoH3t+TZE+RGR9YwG28brBu7XZbQRDY4R8Oh1aShUPJfrLG8Gn+4PkEYu9Gs3+4ddx5bDab6nQ65u6cnJxYgIcDSlTQI9BoNGqFBBcZKCP2ENknnQMliNyg/ECPtVpNz549MxeQANRgMFClUjEuGXS0tLQ0c7czHo+bC8fe++tH/pI2nwtC+oGQEmiDkGyr1TJfHSbek4o+f4kHQqD9hsJFQNZyAMjdgYAjl0K6JE9BGd5/BW2xUbg5ixaa39rasvow6+vrlnBH9IjSF0RvEGiUZz6fN0Lb54CABlGevjY0igmLBqcGepzndLyl5pByXWWR2/PSxUE9PT01PmI+4sK6gpCQAW73VyoVI40Rcp/rMu9iE9krl8uqVqvqdDp68uSJdnZ2jIsEFTFXfgZyIUmRJNLrBu4pyNdHen2iIM9H/XRcbNxFH1Dwrgh0AfMlEZYzsLW1ZRG7SOTiOsfR0ZFlarPentvygYFFc85QSBgk+C6MJsaae37zbnK9XrfL4OVy2aLkVLdgvSRZ5n6321UkEtGdO3eMsmDN+XvmQToA59TnIrJ+rxrXum/easDXsAg+dMwh5AFBOdwwZhHhG1BMHEJcNtrPgE7Qwvy9Jwn9pjJhwtrfD9cCf3RwcCDpQnC2trZmOCEqBrDxhF+ZAxeKPSnM2oFwcLkkGa8wv1Gex+MzpctmCR4V4dZUq9WF5skdRY/wUOI+ygapDzQnSjqZTJTNZg1N4ga2222FYWgpCn4fIFh532azqTAMLeFOuixh611TqjnCzUSj0YXm6VMbkDMSWDGgPD8Hg7SNo6Mj8wIajYYlg7LHnveEGyPfib8DNZMCA/r3PBpcFAgaT+D7QUr+oHviHePJeiLD3lhzDjc2NqwsEH8P78f6Ly1d5Av6fCeMKdFHzyHzuSBxDyIikcuCgp9ZKfkDwuKTTObzkbyP7n/ufV0OAQdB0gykBCpjETkIvDfvhTXFCniNzmZjKReNZLCw8Xjc+IcXL14on8+b+0BkzedieBKTvA6PFIH4bBaKFFQIGsDN8O4w1s0nlfpn5bM9r3HdwLJTaAuOw1t+H1QAYfj9wiWnSFyv11M6nbY+eaDJRqNhd/V8RQAUfKPRmIn0YcF9Um2v1zN0A+9x3fAJvaPRyLLJQXT+8GEYfEpIEFxcEP7444+VSqXUaDSstlUmkzH0zUHngPkIHevl0wo4uHCkPml4Mpmo2WwuxJkx5rk46VIJeWQ3H7HkjKTTaW1ubprCZv9JryFFBGXMGvlgBnyhv/Xhz76nT0CS/P+qcaVSSqVSarVaM7klPsTr4SAbhItGtqov/o91pQAcFhC+ikgGsBRi1kNSJuUVjieDUVbA1kXG6uqqcUHAd+ZIJIrPI7KDlcQyMncytHkPH03ym4QipqyqJDs4XJGQZBuJAHqkCopZJFQu6ROp/RwK1o51Z86fFtSIRCLa39/X48ePdXZ2prW1Nd27d88uHa+urqrX6xlnwSHOZDJ2CNgzyGcUIJ+JjLTbbYvCUhbkuuGRHyj97OzMrukQMvfRKUhmstBPT0/VarX0+PFjPXr0yH63trZmJHepVDLXLhKJaGdnx1zDdDo9U7p33n1hz/mZj0x9P8O7SygCb1hYD/8MvigdyofXkS/m0zBQQBg0UnY8mMDg4CXMf77POfO81qvGlUopk8lYXSD8zWw2a1bFVweULsP7LALEW71eNwbep++T30D9FdAS7+XD+z4tHSXIoWLCPmLjeZLrhs/fgA+4deuWvaefjy8VK8nmcHZ2poODA00mE6sIgIVhk9kwPsO7fLhPuHl+XVF4fDZr5XOnFhmeZ/AJrz564j8PBQVXyDyZ19OnT7W3t6dms2kdhCVZCRbQFNdhpNmsZtw7lARKifIeCHS9Xrdw/HUD/o/Dfn5+rk6nM7NO/toLrqV3MSGN33vvPb148UKnp6eKxy9K6MRiMUOEoC0OIxwjqMPLICgJkhuFDwrE2C0afSPQMI9QvDGcj/SyxngTPtrqgx48F2uCB8P5ROZBfz6i7nPcpMt+csg5Rvoz5ymhOLDGnqjlIPt0dJSFJ8jr9bopNipPcjBZzNXVVRMUDgjvh6X1ENP7x17xeAFASBYZHD7C9nTvJA2AueB24VLgxp2dnVmN7uPjYy0vL2tjY8M2GL6Fea2urppy9hFFFDdC8WmcmYfFCOSiqQ/cyifq5VHqvKCAIiA5kYNisagvfelLyufzWl9fV6VS0fn5uY6Pj42f4H0oKMdrKfOLxQbJeLnCfUM+uPsWBMFCjSAo2wHam08EZJ5wGhgK3IvpdGoXqXd2dnR6eqpKpaJms2l744ljSXYLAf5JukS0XgY8J8n+YlRRyIsqJW+IvJfgUcq8UmQ9vPLinHGWWCtPK7A+BK/4PPYZLwAulbX1BtSfXc7Tq8a1nBKhTP/AKCEf+fJ8D+5To9GwNitM5Pj42DYC9HN+fm4RLOrYgMjYUE/E+gHC8WSp34hFBvOEZKSONBUjpUshQxmTfR6LxVSv19XtdlUsFnV6eqr33nvPbpDDMWFdSqWSdnd3jSSGjyF64ZNJmYvfZDbaK6dF54mb4lMmUHQYEni/aDSqYrGojY0NE2C4mWQyqd3dXX35y1/Ws2fP9OzZM9VqtRniNhaLWdH8TCZjpDFkNmhB0ieaCvicNtAhru51g5v96+vrti4ceBQxBxTEhpJkTyCyv/nNb5qipGEDxoQgQyKRMBrCp1CghJBdzz/5LG+fyMn+LzLa7bYhcumSY8J4eVTsXTfoFT7fZ/cj417peNcaJQo9MV8uGnf806gUrzA9h/dpY6HKk/j9EKsIj7ewPszJIrMAntQl+W4wGJjQ0iWl0WhY1OPhw4cGFQnvMjn/fHwuC4MQ+sW9biA4zGU8Huvo6EiZTMYULp8HWiKyhoUFzm9tbemjjz7Se++9ZyViNzc3reBYt9vV3t6eJfiVSiWzsLgbWFRPGqKoPBJhDxZFhMBr9hBFT0REkgkdl0SB3XALvqJAPp+3fSErmcx2vjKZjEWhyBr2ARDe17fT8uFxUgIW7fQBH+XdOGSCnDAOqCdkUX7e6nMPjyRgOoaAqFHenkYgvweFh8Lle5I5veJCWXilcd1Aefk189eGPDKSZO/P88zfxIAm8akdfr19gGYyubiy0+12TcEQQYxEIoYWfTrP/PNcNa5USv5GPBOHbERD4tv6vBrgaDQatUJUR0dHOj09NeafRgG3bt0yAjwIAivJwKZxIDiwQHAGioJn8tGwRQ+rd0EZ5JeAlog4ooilS4Eg+hKJRLSxsaHDw0M1Gg3jEM7OzowMJtwaiUSsjbZX/qAIH11BEYMSvfCixBYZPskNy0UGLmvt0UW9Xtfx8bFdEfGhYYjZ0Whk1SSp+c3rQdK4Y76ejz+U9Bnz+8nBIaiAvF03OGwoT96TAwJiki5Jcfg6T8LyGgxENBo1A8rBhiT36x8Ege3vfJkP3o9nA52wNsj/IsMrDtaHc4eB9mgYwwPJztrwGuSJv/PBJN4bFO/lHcORTCatUJ5PzkWWGN6Ve9W4UikdHx8b74CVRsjYTAhdPzEfJp1MJnbplo1JpVImyPiyKysrVt7D55AQqpcuFQ3oaN6v9ovofevrxv7+vvWQQ8Cm06llAC8tLVnrJQ4HFhn0gSJdWlrS/fv3FY/H7XvugZVKJSvn4rkFBNRHPxAE3gOFOC9Eix5W6ZIjRAkQ7aQmj7eSoMVKpWI5Yz4KA+rBDQc1gPiq1aodOO4OemXqy26gmH2EioOKS+1ztq4ahNu5s0gpGdz84fCinx/POZlclGA+OTkxUpe18hdcSdfg/VlL74aBnunmQe1r3oP98qiMnoU+a3+R4dEQf+vTFHy+GJ9DgMXziR5J4omw1p47RjYlGYdI5NnnaOEVERjxignQ4vm4TxtXKqWjoyM73KVSybJf2RxgaSaTmSEV56+CwC+sra2ZhU2n01bOpNvtztRSRtP7SB4ogUVnU3BxmDQLG41GF4bCH3/8sRG6/C2Lzxx9zhQELWsB4Q3ievDggbk+sVjMkulAKLikpFiQ88G64bLw/giFF0LWez4f5KrBFQoOJ4qPNAwqMUynUyPvcanJUgf9QGyTWIi15N7X0dGRuRhcS2A98/m8KW3yvYD/nU7HuqsQjWJfFynyhgvOdQsih/Ot4yHCB4OBnj9/rnfffdeCMAQlcrmcKVRfq96j9/l7ligGSVavG16O6DOIBnfPnx2CLNcNb5SYE++JrNDwghsZpL3A/4DKvfH2RhmXF7eMUjwouvF4bLl7S0tLVuXBK3IffcboBMHVraSuJbqJEPkmfES2mDh+NIPDAxfkfc1kMmk+OQmGvrEj2juTydjmcZBRSD78P4+GiNSQT7LIQBCoTuAtAnyGn/s8+Tcej2cS57xbxIGLRCKqVCqGLCFzUZ7z1zewPp5Y9LWcOATLy8sLz7NarRr35RWvz83ypCxWPp1Oq16vm/CTKe0tPfwCSpu0D3LApAtBx50PgsAEGsXLPct+v69ms6lGo2HuwKKpDz6tgLLD5MSBJuBGuX1AaeDDw0OraYThoDwPF6UlmVJH6bJmRKqIxIHKIPtBuD7ahgyF4WVX4UXGaDRSrVaz0ik+Qxzaglwv0i/G44u27ew3xpD/I1s+4saawhuiE8g/bLVallTb6XSUzWZnkm7n02cYn7mbCfDNKxeUARqZ29A+JQC/GTSAVo/H4yqXy5pMJha56na7mk6nM/fgsMhkkftMUL9YCM88UoADWHSDQQY+T4ecHC4W485Jl1wEa0N7YhAdm4yi9cXzcW093PYpCBxYCGG4DR+NY778/aJtecj9Yd0kWWACpIeCgy8kGHFwcGDtyVOplDY3NxUEgfWLa7fbM6Fm0AaWVZIdVtbUp21EIhFDSa1WS5VKRf1+35Cd5zOvGigdFCWWm0RMf08vGo0agr97966+/e1v6+TkxHggyG3cEgwxmf/Miz1izYjO8tmgSbrDgLQ9PwXfs+g1k6OjI0kyhe15N4h8j+aRNwIRPNN8fhEeAYrTp1Yg26AmODbWHSOGMffJtwAL5OOqEi1XKiUOtyR7SOmyjjYIAbdAusw0RjuT1wHpDTHOZFF0TBqkAiELcQrMnPdJEXy+X11dNSW5aEkPlAdcgUeDWDbpQrujSPksYDyF1AuFgrLZrCEMNovXEMUA2npuxt8f5HU+usm/KGrWf9F5Atf5LG8JPbr07rBPnDw4ODD4jVtKThBEMUaK+3D1et1QFs0AcN2IQIICadtOigVrSvmPRS6rIhvdbtfWnnVGTqEhMB7FYtEU08nJieXTkSoSBMHMjXefi4PxAEmzZr5Anzfo0mzInTlxHWfRC7kff/yxoTjmjCuHzKAkoUYkmSJFxvA8fFAIftCnTbAGPgcKLwC0xhnFcPKePkqP3FKn6dPGlUrJJyfiQ/LGaDwgKaQvSoJDCFSGU+CB0bj+prp0Wc7UbzKTQ3h5Np9Zyu+90qpUKgttMGFdoC/EqLc8bOa8oqIzKiVEcrmcVZ2E1MaPJ7kQyyVpJvrlmzGgeLzLwd+CmFBSV22wH76GFYcWt4nDikKSLltDc+M7kUioXq+rUqmoUqlYaJi5UEG00+lYNAkDRU4PyIf3Zx2p0lCv11WtVo2YxfJedYHTDw4l/+90OlpdXTVy2ydNSjIXy+cL4XbUajVDRP4O5urqqkqlkiE4zgMH3H/hphFFBEF414/sfq+4rhuk0NA9BXn1UTjKVvt26tAnPp+Pz0SxMbxhRB59gIa/BUgwL39DAFqD9w/Di4Toqy5XL1S6BKFA47OYPDhWbN43xR3gYHtyWpIJKGUQYrGYms2mXW2QLkhSf9Oc0CPP5N/bL2q/31/YrfGcEWgCxYCV8GuQTCZn3hu3pdvtWn92NoWN8XwIFpckUZ/tzYZziP1zeDcVAaQQ3SLDZxcT2eK+HwiAyJw/pKwxOUfU6AYxAu+XlpYsourniXUl5WH+MEynU+vCure3p3a7bUqTqKdP17hqoGBR5jQcALUxdy6iguxRKqAriFt4Ew4bbuF4PDYS3N8F4+B5LhV+y0cG4Qwl2d1QXr/ICILA0ORwODQelPC/lyGIZ1D9vFvmEdN8lNdfDQHFo/QwNuwzYMQT9172UYS0IHvVuFIpkUGLfw2BxUTn70qBoqbTiwqF+/v7dr+LECmvRwDgUKTLjGM0ezwetzKxHAiaX5IHw/v46Ac5Nlcx/H5wnYS7WGwyfMhoNLJrMISacdHYLDKWKXLlD6IPB/t6PEtLS5YpzFrQ2pk2yt6V85wSFpeWyYsO+JLRaKSjoyNtbm6awsUd8IiJw8NnR6NRK1pG4iUHYzQamTJBmU4ml73yUAA+GhOJRIyTOzk5sVwnDo7P2Vok2xlkRsdeakHxHpIsV8enDsD7jUYjWwtcO+aGe4UCZk+kyw4zKH6IfhQUSgdXEqVPlNMry0VGEARW2oXIJ/vjjRfKgmeNRqN2kdhH//z78vegPWTTo2Lm4j0XuCMffPLUAPKwv79/pZG5Uin5+z7zoUBpto85E0frdrtdtVot2wBfh4WoCwvgw9E+IkASHmSjTzZjE3wSmXc1Dw8PF45KkWdFPad+vz+zuf5aAfMlncG3GqJKH5tPDWvex/M05M2gyH3DS+ky1IsyRDF4ErLb7erjjz9eOPUBJOajP6QfAPfDMLTWTt76stbUq5YuKnYOBgO1Wi1TJPPpEfAO5GZ5K0zeTL/ftwJy1EJCKYPiQBzXDT6byFqn05nJRwqCwJApsuL3z1+BIO+KVlj+HPiwPnKP0vOpG1AYHGDqhXEeGo3GjMu8KFKaTi8uu3Mvj/LLKHNkzifK4rIiA8gEqRnznJdPR/HUiFdw/D0EPQYTV8+f0SAIDKx85hZLQDvcF0/YoUX9a/A7eUAP7UjZx11jo/1dL0hV0AdXFUhtJ5WAxUSwfP4D1uf09HTh5EkEzmdge5cK3kGSuZocWJIDl5aWPtHsD16JDfQCh4LxKBClhCUHHRBU8Mh0Mpno9PRUL168mAm1XjV4nvPzc1tXQrvj8dhcOQ4oXBKtkdhzkBaKk6gZ6RieY0HZcWBQEoTtO52ORqOR9aOXZJErnpX8nUUQIZFST0Zz3YWSJBhQT+iC8DE+oCXWDKLbR7nIc+L//goJnBicFIEf//NOp2PVHEGU83c7XzVAOriXKDoUEjQE/3oXCwXKfhLQQsmiSHD7fAIlisnLIT/D6HI2PWpizfb3902Jvmos1GLJ3+/xoUa0sHRZwoOHTyQSKpfLM8QZG766umobwHsA8fP5vBWY8i2qfYiSSXqfl5/hOuISLTKYH9GWarVqoe/x+KJWDFYWwaVjK+hNurxigAKhGQDK2q+PD4szPywToVasKspdusxs7nQ6Ojg4UK1WW1iQEVgUDJwL7heIhv3jOUG2oB0vpBwAUI7nED0fiVGBlyPSBinuo2GsWafTsQgdnNB1A2UL4b66uqpyuWyy54vicYgxJKBzkiVxc5BZ6bJ5A+iD2lcgPp9jBv3BOvAaSqCQTiFd9HH7fgr2oSBIMkXWmId02ciT7+fTedg/STNpEp5jgpvz78M58NE2rwC9l8GZDMPQyiFfN65VSn5RyZRlI+bT7OFlgMjAYe7d+PweNpYDS+IiiXncrp9fCOA1JCyHGevU6/Xswuui4VWvGFAAvJdP3PP9uU5PT41wBzFKs5wNlpP0Al+bxkeT4B4QIi6w4hr6i7TA9tPTUz1//tyEcZEB8mAwT7ijarWqeDxuHX05sDwvUSgOLW4v++tdIFCUR3x8UeSPPB2CB6AJEBOJiHA11N26asAlURju7t272t7e1rNnzwzp+MYEIAUQiy8rMp1OTQ49Ke9dIdaR16B48CiYL/82m01TVlTWXF1d1ebmprrd7sL8oE8DeP78udXZ9vf3JFkJGE+vzFMezMnPy5Pe3iOZDyzx915Jca59NHA8HuvFixdmZK8a1yZPet+UgwPx5y/eeR8aApNsZSbqCTgs5/z7z4dU56EmG8Lf8HsUZ7VatWJr/gAuMtgAIlBeuHANIfSPjo4s1YFDw/PyWq9sOJxYZ+/a+dR8j2Y8yeszgGkAcHh4+Imo3FUD6x2Px+2iMfvT6XRUq9UkXRxsrmmQP8Za+7D6PAIAzWIxuQ3gEwM7nY618SGfLJvNKpvNGmlLJjYIFiS4SFoAZURwjXZ2dpTL5WYOH4YFzpRsawwmnCX5TBgXlLAntzkPnsRm3rhoXPFAGeMie44RhPf99H1DNj744ANtb28b0vNyiAJBviGt+VtPwTAnH8LHuKCk+LlPS5l/JmQZg437Xa1WrZbYVdTKtbuMhgWm+2xUT1ahHX2JERSTz03ie/xq4KHPLOVzfSIWn4/1ZIHI4eHgP3/+3DKvF1VKbI4/3EQauWjoD6InZEulkorFopUVTafTFkGBT0GRETLP5/MqlUomkL5uk0cvQGkEw5d4+fjjj1WpVOzgLDLgM3K5nLlk/G0sFjMjQYCCHCpJ9j2HzWekk/yJ0gQtE7mEVyH4gcIgoRaU0W63TUER2eOuJHW+rxv+OkgqldK9e/eMowLd+445kiw9gkRLEl8zmYwlhSLv84YVXsk3W/UEPukNKOHxeGyeBm4hymnRLsAMXG/poqpFOp1Wq9WaiZqRhoFhW1lZMfTkjZ53yfzPvBuGMUW5+1QZjJF0GQFnjYnKYpB/IKWE5cZikUgHSQkJC2HtQ9Y+6Q34yOIA0Xn/T/vceRJduiSH/WIxechSisShOBYZbCLuii9tAdcCImQeWAnu+ngyn3lidVC6kUjEojm5XM6syjwnhPJHgaOMiOQcHx/r6dOnRpT7kO5VA1dsdXXVnh9eY3Nz0yJC3ND3ya/5fN7ctmj0snSFz03xGeMc2NFoZER6t9u1pocoYxowwitSw4qiealUSsfHx3ry5MlCF3JXVlbUbDYVjUb1la98xWo+URUAXqtWq820tGJ9m82mEomENZVkjUFOHG4MGfNst9umlDHcg8FAtVpN/X5frVbL0ik2NjbUbrc1HA6Vy+VUr9c1nU4t2XGR0Ww21W63bU9Qes1m0xCtR92cS69IvGLCOHmXi+89cue8cmaQb84z8itdlrRG+fb7fVOWV6Hea5tRzvuGaHJ/8Dy0w+fEdSPcyAb6ZEK4JHgk7s74yJpn+72/Kl1eaYFfajQaWllZUaFQ0MnJyUKb69+H/8MfgMIgdxE0NoLLpr1eT7lczm6Vo9RAACAiIo++tZQkC2Ej0B4ZDodDQxf8nntP8CffDyJEedJppNvtGgEPyoCk73Q6Oj4+NsRIpQB+z3qhfH14HIWE4kPRSRfcVjabtcoJq6urVkmAaCDycuvWLW1tbVmax3UDor1UKunevXsz7hpVVJPJpFqtlobDoSE2Ug6SyaQ6nY5xepD/GBxcVuYIWgQFoaRx2fg3EomoVCopnU4rl8tpY2NDT58+VSKRmClwt2jQAv4PuYJAp1W6v5mAwZ13Pz15DSfo+WF+jjzyN/O8MJ8x796x11AcGGLyxl41rq08ycN5jYoG9FAPUppISiaTmclsZvFQRvF43BpSkovEIWYhWEwEC+skXWp0Fgi4TJdS8p0WGSAkDjef4RWe5xZ6vZ7W19e1sbFhN699c00fiZiPeLGR3tVB6YE4cHXIEPcVG7nSQjAgn88vnCSKf49geDcLFIfi4nDUajW7bpHJZEwxcY/Pc37eYEgyIhsehTB7LpezBEwiVmSCe9ccgY/H49rd3bU7VlcNElk3NzfN3QLpkn5BrXHWdp5nwR3BZSU9BRfQI3Bez55Pp1NDLchQNBpVuVw2MjqdTuv27dtqtVrmKhJcWJQfHI1GyufzZuSXlpZUq9W0tbVlqR0+LYL19C6a59FQSj7dQZptNsAes4+eovE5SaxDNpu1woAo8jt37pgsv3J4zuaL+pL0tqT/r6SWpI8l/S9ex3N8DvP6M5J+U9JQ0n/ifr4s6W9LeiYplPTPvO5nvZnjZ57n75H0/5FUl1SR9F9J2nzdz/sZ57gi6RclPZfUkfQ7kn7e/f6fk/SBpDNJ/0DS7S/iuRZLH/0hjiAIopL+X5L+jqSCpP+dpP80CIKHX/SzfA7jUNJfkfQff8rv/kdJf0zSYrdnf3TH74Y5Sq+eZ17S/13SHUm3dXGY/8YX+mQ/vBGVtCfpD0jKSvrzkv5WEAR3giAoSfoVSX9BF+f0NyX9l1/EQwUvNeIXNoIg+LKkX5eUDl9+eBAE/29J/ygMw7/whT7M5zSCIPgrknbCMPwTn/K7fUl/LAzDX/2in+uHOX43zFG6ep4vf/9NSf99GIaLMdQ/4iMIgncl/WVJRUl/IgzD3/vy50lJVUnfCMPwg8/zGb5wpPSKEUj68ut+iJtxMz7D+BlJ77/uh/hhjCAI1iU91MV83pH0HX4XhmFP0uOXP/9cx+tQSh9KOpX0bwdBEAuC4Od0AR8Xa+NwM27Gj8gIguCrkv6ipH/7dT/LDzqCIIhJ+s8k/dJLJJTSBefrR0vS544Iv3ClFIbhWNK/JOmf1wX38G9J+luS9r/oZ7kZN+OzjiAI7kv6u5L+zTAM/4fX/Tw/yAiCICLplyWNdEHwS1JXUmbupRldcGif63gt7lsYhu+GYfgHwjAshmH4hyTdk/Qbr+NZbsbN+H5HEAS3Jf09Sf+nMAx/+XU/zw8ygoskwF+UtC7pF16CBunChfuae11S0hv6AlzV16KUgiD4ahAE8SAIEkEQ/O8lbUr6T17Hs/wwRxAE0SAI4pKWJC29nGP05e9WXv5OkpZf/m6x2io/QuN3wxylV88zCIJtXaSz/NUwDP/a633KH8r4j3SRovMvhGHouxb8PyR9OQiCX3i5Dn9R0rufN8kt6bXlKf17khq6gIh/V9L9152z8UOa11/SRY6O//pLL3/37FN+d+d1P/PNHL+/eUr6P778f9d/ve7n/YxzvP1yLoO5+fzRl7//g7rIU+pL+tUvai+/8JSAm3EzbsbNuGr8qKQE3IybcTNuhqQbpXQzbsbN+BEbN0rpZtyMm/EjNW6U0s24GTfjR2pcWbpkfX09zGQy2tjYsDpBOzs7KhQK1hSSJgAU/6J2ii9pG4azZU4oeeGjxfM1lHx9Fumy2JR0WSuYSn+TyURnZ2d6/Pix/u7f/bv68MMPrTpio9G4NiT99a9/PZSkW7du6eHDhzNlSObbzEiaKX8ryVoTUarE91f3darpUEt5B4qb+YLuvm41BfEooUJFw1qtpmq1ah1WJOnRo0fXzvPtt98Ok8mk2NM7d+7MlAPxZUd8dxnKlVBQjDrkFO/znXwpvUIZGOooUcmTqqWSrAkF8+dz6NRBkTQaJBweHmpvb+/Kef7sz/5s+Kf/9J/WT//0T3+iUqWXH/8z1l6abT3ta4ZRwsbLKDWwWAdJMzXA/fsi+768MaVker2eTk5OdHx8rL29Pf3SL/3StXv53/13/12YTqetPrvvzuIbbvhSJX5+zGG+VC7DlyryMsrZY018kUUKQfZ6PVWrVT19+tTql4dhaGVfKMvz1//6X//UeV6plGgjxIdTO0XSTK0k3z6IDfeF2Xw7pvmmdfx/fkF4H5SV71w7v2jUeimXy9ra2tKLFy982PPagZKh1RHKIwxDq05IgS8aC1C8ioNKZxPqS6OEUJwUeKO2D3NbWlqyeklnZ2dqt9tqNptqNpsaDodWtY+KjdPp1Pqt8XeL1o3ya80cfNMFKgKyN+fn51bvSJLNleJ2FPHjECwtLVnpU180jF59FEJDKdEIgXWjtRU9ATn41BtapABaMpnU7u7uzN56hUHlxPlqjGEYztTq8g0pfH0hb0gpsOdbaNEgIggC68TCHKmZxVpR9thXYly0HK5XmDyTP1e+WYCvd+XHPDDw54vha6r5ktFheFnz3Fdt9fW1fCcUXx2VSp+vGlcqpXw+f/EiV2WOQ4JwUjHSPyDCyKZ/WlcEf0AikciMxud1bCKVHDno/n3pRzedXvRtu3Pnjj766CMtLy9bre7rBpUjKZrG56VSqZnuECsrK1btkfknEgnr/HF+fq56vW71iCkJzOszmYwhBjaNjha+oBsNPGnXRJVLXyecPl8c/kUGCBC0wzp3u12rsEkda9+JhaaYoAWeKQxDQ8goYipbojSph+17w9H2ejqdGlqiljcInGdkzykMeN14+PChyaM/4L5TiS8YiGFhYNHpQOIPNAcS4wBK51xQ6Mw3uWAOoCZ+x3rR+twjlkUG5wtjHQSXfdeky/r0vl/bfKslPs8X5/Nnk3XyQGBecfl19go6DMOZkru8H2f2qmqpVyol6jBjCakamMlklMlklMvlVCwWVSwWTfuhAYHfkqwynW8K4N07Dje93ngN1pWNDsNwptg6i356empQvVAoqFwuG4ReZFDGNZ1O24GkHnOtVjPURP1tlAwVCSkC7zuWsDEobrqAUEeZyobValWnp6c6ODiwHmhnZ2czFv7s7EyRSETr6+vmItOSyiv76waC6VtjgWK8MPouFNSbRvFgkHDhqc0NugTx1et1nZyc2PetVsuU33A4/ER9aLqI0Gc+n8+blZ+vhnnVuHv3ru2pR4WxWGymCiYt4lGMKGHvUrOfHDBJVqkTpUBjgWazaYqK96AbDsoDGfUGjbK7VHRctLQxlVDnPRJc/vnuP/51zG9e0YJ+fP1xX7YWQ4Tn5JUZ6yFdImqoChCkR0tXNYG4UilhVRGKXC4303Jakh0guJSzszObIPAU3xvOwB9cFgQhYDEpb0u9ZOpHU0Oatt3wG/V6XZPJxPiS4+PjhdtZw5+gSICdH330kR04Do4vCYpSQrj4HpePDcElDMNQp6enqtVqmkwmOjk50d7envb29qx4PJsPcsQFZG1prEhZVWqLLzJYZ98CB0WRTqdNEdGVptvtWr1nngs3dG1tTevr69bZF6vY7XbVbDZVqVRUq9VmuDDK784jZRBMKpUyhDWdTpVMJiVdlmS9qq4zI5/P22t9Pfnj42M9evRInU7HyscGL8sSewUUiUSMK/WNBWj0iFLCFaWpJkoX+ZdkJY89h4p853I57ezsKJ/Pm4tIWdpFBkiTwbmi9Cz74dGOp1mY6zzN4WWQ9+N7uE3fIAGZGg6HRlUwH+/K8bk821WG9EqlRFNE+p0nk0nF43FNJhM1Gg1VKhXT1r4HnG+vHQSB1tfX7SGwzkBKyDH+D1dBdwi61ZZKJcXjca2trVktbtBLoVBQEAQ6Pj5WGIZWlH5RpQSMx1INh0MdHByo2WwaOqLWMoXtB4OBcUl0U43H4yoUCioWizPdZJPJpK0Nvd+bzaaOj491enpqh1+SuZG0XfLN+6bTqU5PT02BpNNp67O3yPCNFqULt200GhmXhsLHTcM9ZI88YU9HGlwt0GSv11O9Xtfp6akajcYMvwAK9twcbi513+Gk6vW61fX2XXCuG7gHHMJGo6EPP/xQ7733nqrVqqEY5AvZxsAtLy/r1q1b2t7e1ubmpgqFwkz76jAMrX/e2dmZKpWKnj9/rmq1qsPDQ9XrdWuqwMANpicd/79z547efPNN48D4/EX30rtJoBzkxDfCoCY2RmCeuGZgjL176ZUftAFyQ0DGKyOezRPrvoEsRu8zdzOJx+M2mbW1NUUiESNgEShaGiFU+Xze3DYs30cffWQkL4KJECSTSWux3ev1rCUNDD2a+OjoyKAjygarTAucdDqtRqNhn71I80LmCf8znU61v7+vIAi0sbFhikHSDM/BosN5jUYjJRIJcxGy2axSqZQdADa11WqZy9Zut60hI91Q8vm8EomEUqnUTJSx1+spEokYZ4US9W7eIoODD0dUKpW0vb1tnT441J1OR6lUyrggurmgtOGCPMcHX0Y7bubmI4/0vUun0zMtqIjoDIdDZTIZpVIp1ev1GR5jUdcG5DsYDPQP/+E/1Pe+9z01Gg1zlzEKNI+ErE+lUta/D9lE6eIhsP/SZQBoOByqXq+rUqno5OREnU5nhijnDPnOKHBWdGVGGX1ay7HrZBYgAKLHYGBMGUSDQawereAew92xHz7SRjS0VqsZkoZaSCaTZnxoxjnfiINn+oGUUi6XU7fbVS6XUzabNSTT7XaVTCa1vLysbDZrfAwQHY1Zr9etb1e73TYUQeuXXC6ndrtt/auAwtVqVScnJzMELEJTrVZtEYnS0JLHR/mI3CwyELZIJGKo5datW8rlcpIum/5ls1lDErQd8m102AB4Et9ZFCTEZtJBhPWg/Q7P7OEyHV/g9w4PD62hoG93dN0A7aHsVldXreMEjSd9SJt1hwPDpRoMBvZa3wEZy0kaAHPgNSDdtbU1LS0tqV6v22ehtFCO8BCeb1lk0J9tMpnot3/7t/W9731PtVrNCPcgCKzhJQrAc55LSxcde9fW1rS9va2dnZ2ZlAhQAa46/OPy8rL1qaPpIrwMRpa5Mp/hcKjDw0Otrq7qjTfe+EQU+qrB+tCuCJcIxIRSAN2iYEC8uHJQL3QTAohg+FFi/X7fEDDuNcR1IpFQNpu15yfAgVHCLUVZzgcX5seVO411oHlhqVSa6SnF4jIBDjFae2NjQ8lkUrlczixIPB5XsVhUuVzWvXv39OLFCwvHw0H5LqP0hisUCioUCmZpEJ5CoaB+vz+j4X/nd37HDsAiw+dW9Xo95fN544r4HKwqVl+SuR60+e71eorFYkqn0yoUChaZSiQSajQapoj6/b6tJxsJP8Fm0/GXlkFAYngzDhiuzyIDBYlBgYDHlQJF0SGXZ4PnABXhOuC64hISJGANptOpDg4OTPBRLERLW62WWq2WJpOJKUYORSRy0U6b1y/adBN0ure3p1/91V/V8fGx0um03njjDUuB8MEHXNFGo2FuSTKZ1O3bt3Xr1i2Vy+WZXDvcFohrFO7GxoYZMvoXskYgqVqtpuPjY6MZJpOJms2mHj16pNFopI2NjYVdcSKE1WrVXDLOK4qNluKtVmsm8unTH1AqnnaQLvvADYdDtdttNRoNNRoN9ft9k3voDiLQoHaanoJCgyCYaRkPXfKqcaVSghsCvvqGjEyKzcVyEkHCzXv77be1tbWldDqtDz/8UNlsVl/5yld0fn6u09NTi1IA+4li4H+vrq5qbW1NhULBhBvrG4vFbJL0v9rc3NS9e/dUr9f19a9/faENli6tJQIICiGidHJyokajofF4rEQiYYjo+PhYk8lEhULBDh5dUEkqhJciyoebC1IkcoFFBoXRDhv+CmuEsPtGmYsMv5f0cEMhYgTgzFiLVqulFy9eGD9E1JU1Q6ETEJFkIXkIfdz4SqUikjd9qHo8HqtWq6lSqZiyZO18pHURvgUFCd95+/ZtfelLX9KtW7dmSF9cuEajocePH88QwdPpVCcnJyqVSmYUQRmgRpJYce19fpUP8xOQAJ3t7u7q5OTE3HgajVarVWUymYWV0tHR0Uz6DCgTMh2kFgSByuWyUSO07ZZkCbDSJSLyAR2UWrPZNPoAxI6RxCNoNBpG1uOpILcgUM4UCZWvGtcqJXJbsKCdTscOAq5cEAQW6qbtcRAERnpiLfb29nT//n1VKhXdvXtXR0dHhoz29/dnwpJEhyqViqQLF6pSqWhtbU1bW1taX183rew5h9FopN3dXX388ccqlUoLbTAIwnMRkIXPnz+XdOniEQ6ORCI6PT21kC5ocWdnx1wgIDUbh4IJw1A7OzsKw9C6ow6HQ7377rtkoatSqSibzWpra8vIfY+0fHTv+xmgH9wMyPNms2nkPCF9Di1uNEoBV4toKX/noz7M94033lC/3zeucDAY6MMPP1Q8Hle1WlWj0ZiJdqEUc7ncTCY91ve6waEZj8dKpVJ655139M477ygajer4+Fjn5+d69uyZPvzwQ73//vtaW1vTo0eP9JWvfEVvvPGGzTcMQ21ubhr6OD8/t5wyDjuyy8BFz2QyOjs703e/+12LBK+ururu3bva2trS3bt3jSc9PDzU0dGRpZQsamA42KQ3QGiTTY/C6na7qtVqxl/CfaL4MVS4s6BcUDPGEWUJWkZJNxoNPXv2zGiM5eVlbW1tKRaL6fDwUNlsVqVSyQy9V6SvGleuQL1eN43barVM2BKJhEFRkAAKplar6a233tJbb72lWq2mRqNhG4pl5f/R6EWn1dXVVXW7XcveJbpHhu9oNNLh4aFisZj+4T/8h/q5n/s5DQYDPXv2TKurq+YmptNp5fN5JZNJfec737lqarOL8BKBoZQIdz59+lSTyUTlclmVSkWnp6fa3983xbK3t6ff9/t+n/b29rS0tKR79+7ZpvkkyXnCkKjmixcv9PHHHyuVSunb3/62jo+PdXR0pGq1qk6no0KhoPfee0/RaFTr6+vK5XJKpVIzGcC0Yl5kfNpVhH6/r8PDQ0UiETUaDX3wwUVhwb29PRP0RCKhjY0NI7xXV1cNoUqXiXo+oxh34vbt23r27JllnsMBPnnyxFqC7+7uWgR3d3fXUh2IFqLoFuEIcfmm06nW1ta0u7ureDyu/f19U0Z0u+33+3r69KnW1tb01a9+VV/96lf10Ucf6dGjR3btA3qABFDcNdAC8tJoNBSNRnX37l199atf1ZMnT/TixQvV63U9fvzYOKd+v2+pAFtbW2aIcXEW3Us6zxIZJRUB/oq1fvr0qf7JP/kn6vf72traUjQa1dtvv23oFpeZ+XAGUezImI/mwa/xul/7tV8zbssnuRKNhAohiIDxedW4UiltbGwol8tpMBjo4ODALNr+/r5lLW9tbanT6Vj+BjAWQovEskqlom9961va2NiwQwXXBDqKRqPWhjoMQ5XLZSPQgZkbGxva3t5WGIY6OjrS1taW+v2+RfXwgYfDoaGs6wZ8CPkrRBkh4f/e3/t7GgwG+lf+lX9Fe3t7evTokdLptHZ2dvSlL33J1qDX65lr4lty+0SzeDyudDptbkChUND9+/d1+/ZtDQYD/eN//I/VarVULBb1la98RY8ePdI/+kf/SO12W6VSSXfu3FG5XLZnlbRwbgvChHLiykc0GrXDE4/H9a1vfcuIzVQqpbt37+qtt97S0tKSms2mYrGYyuWyvadPkCPKlMlkbA3y+bxu376tu3fvGm+IQZlOp3r77bc1Go30+PFji8SClFDyWPHrRhiGarVa6vf7evDggfL5vJrNpj788EM9efJEkvRH/+gftatIRCBv376tRCKhTCaj7e1ty/JfWloyAh+uj/XmeVZXV+1Q7+7uGop/9uyZ3nvvPT148ECTyUQ/93M/p3/8j/+x3n//fbtDWigULKP/ukxnP3q9nvGcREPhg1KplDY3N1UsFi0a3m639eabbyoej+srX/mKRXIJCAE++D9fuPq4ZqDilZUVFYtFbW9vq1Kp6MMPP7SA1+bmpiaTiQ4ODgx50rKcwMWVcnrVL8mmJuR+69atmZ7v+MiVSkWTycSudcRiMVUqFWUyGY1GIz19+lRnZ2fGC5FCQBQLaF6r1WauI3h+BbJ9bW3NhKRcLmtzc9PC6UQLITIXDZV7Kww0h2N58eKFotGoHjx4oNXVVd26dUvxeFwPHz6010ynUxWLRbN8PskSK0hkA8HrdrvK5/PK5/Pq9Xp6/PixEomEfv/v//3a3d01pAhyIMIIyiKHSNKVVscPIm78vb/CEolEdPfuXUv+fPPNN9Xr9VQoFJTP5025bm1tmTVHQHk/1pvcLMj7QqGgUqlkkaBoNKr79+8rkUiYq5TL5fQTP/ETlvcGccr7cZ3puoGBu3XrlrLZrOLxuJ49e2bJqd/4xjeUSCS0s7Oj3/t7f69OT0/t8NXrdUkXCZh37txRsViUJCO3fRY3cw/DULu7u4rFYqrVahqNRjo6OjKZWVlZ0Xg8Ns5xZWXFUOKXv/xlvfHGG9ra2lK1WjXOapEBb8OFaoIi3HqAcI9Go6a8CGrgrq2urlqkE8NMwir8keepABnwScjd/fv3LchEgCIMQ21sbKherxsCAzggB68aVyqlWq2mSCRiGp0Ext3dXdvkVqtli4Bw+/wLCMft7W2LspTLZYOB2WxWp6enVoWATFwgpf8ZmdPtdtuS27LZrF35IBKGEtje3l5ogyUZtMTvhax95513VCwWlclkDDmgXCBvC4WC4vG4bSJKyV+G5PCTCyXJDuDKyoqOj4+NX4LEZ5MhWr0wEQXDgi06PDG+vLxsV0XgmCaTiZGuuVzOFDTCBpfFe0G8I9SEzUGERKpwwaTLi7hcWUHgCSdLs9cmQNaLXKch2ACvAc+Yz+e1ubmptbU1VSoVtdttxeNxywAn+Q+kwCGb5wUJ5eOqgE5wZ8IwVKVSsYNeLBbNGMCbbm1t6fDwUMfHx9ra2rK0g1artXAkNZFImIGCXGb/MPStVkvT6VTr6+vGPWFABoOBuf54OOl02gJW/tYF851Op4aUoTiCIFAymdTOzo4FEiDTQZqcDwh4+MZXyuhVEwfJBEGgra0tg5kw/SRMkm8jXWbUAmf39va0sbFhyIUEtU6nYyQp3MT29raOj48ViURMobAYHGrCjzs7O4pGo2q32zNhSqxzJpNZ+Pa8vz7DohI1wEL6ZEcSxnK5nEqlkoVSyXXi0IMAEexEImERC5QKSnB1dVWNRsPuwLFpsVhMpVLJyH0ONveb4F4WGUQ+pEtuAFcbyzcYDGZysMjHIeER19Rfx/FhfNAXSNdXEEBYO52OGo2GZWhjfZGNXC5nOT64S4smiZJ9DVcTiVzcGdzY2LCILocDeeV9kUN+xxxRWihg9peIqXShRH3Cq18fzs3q6qp2dna0ubmp/f19Sw2JxWIqFotaWlpSqzXf//HTB/vh7+UhT6TtoJyy2azlVwVBYOgI5Ytbxpr7dUgmk3r+/Lm5YETKPW/ocwThZ2OxmAqFgpaWllQul5VMJmcI+c+MlOLxuEXU1tbWLITIQgCrfaIYZPjS0pI6nY5dY5Au0wfgH6bTi5v93J7n6sjh4aHBdSyzvwaABUfwsAqkF7TbbSPwFhmgG+kCvbDQfA4h81gsZuFwXFqfq8Pf48r45DGEGyKR6gEocC45l0olIyyJZoGOWHu/of6zrxveHZonkFEc7AmWP5PJGAJE+fkoEdwCxoDfsT/S5YXnSCRiGeu5XM5qKYGavCFBsfm8l0X2kyxnomORSESlUsnSC9gjjIN3Q5Av7vCBYr3c+6sauErsk98LSGu+J5JNzhlclw/hx+PxmfpWVw2CDZ4Y97wXmeR4LdLlXVYQEEnMGCPvlnKe/dkm3YV189Fy761gLPP5/My9QUnG431mpMRCw+GEYahUKmVRJXgSf0hY5CAI7O4YLsL8NROS4kjKxJrgh1PjhwOBpSJT2GdiB0FgoXQEalEEARJDmBFGTySvrq4qmUzO1Jby0SFcTRYd4WBTqIkEPEcQ8c9x87C26XTa0Aavw+qi3Dx/tehA6Xg0CF+EgioUCnYAUVAoGYhs/7woGFwcLCVENwcExcdNgEQiYQKOK+Tngiyx54soJZQYMkayKPNh4FKjXHE/4VnYY+bh74l5d9knAvokUVxH/sVtAhUSgue5vDewyOAzkH3pMlyP0kX2GNQA4+wS/fZVEjzK80oJNy+bzdpnIw/8y3rz2lwuZ/LA3mAsrooyXquU4Gh8NUS/oRwyDjMTHI1GajabVmvIJzoycGNyuZw2Njb0/Plzy6MgOtXv95VMJo3X8eQxsBptTyid13w/N+gRQuZGIpwPuxIi5aAgaIRzCcWiRCCJt7e3FYvF9OzZMyN2o9GowWgGZDuKDUHFOoNAUKC4B4sqX0kzSnI+b8TnvngFwv7yN8lk0pLlJKnVapkrDlrlbyKRiF056Pf7FoXx3IJHV7ynfybWfRGlNK9AeA+PMFlXDhH7ifLj99498h6CvzmP8fNcIAYLItwrOQwdCgTZmY/oXTcwiDw/n4ubi/Hy9wsx+KwtQRrOK2vEc/F+7Au3CCDs/R7D/8G/hWGoZDJpHCEeja8w8KpxpVIql8uGeLiM5y/jMjmEgMkhcKVSyQhvchX4PYsBqiDpsFKpmGLiPUlX5+4V7p/PFCXjGivW7XYXJoBBCdKlNUEhgXa4k4WVAKpyMRXfHWgOEclNcyJ18AhsHheSx+OxOp2O3d2SLtxdn04wbwRYg0WVEoeI50eIJM0INPP3vAtVC7gb6KsmwIlIly4Ezw3aJjBApnQmk5mx7Agywu3J0PmLnVcNrib5v+E5PE/nES6fy/99Bjl5WnA9JMtCBIMU/D5AmqM0WHeUHWsKigLVcGgXGbwf6Mu7zMwZFIfi9G4ZhsKnO/A775bBffqL5770i3QZPPF/g4GDTMfQgsyuGlee2q997Wt6/vy5Hj16ZCio0WiYBeUWPwKcSCQsQkcmKZEYyGRcMjZiPB6r2WwqlUppfX1d5XJZT5480ZMnT2wxOfgkYkLAcQWEusAsSrfbtczsRYbfMBbaF/gCkcCf+VIdCLd374jQIZCEmsvlsrkzRDqwUMPh0LKeQTIoVZAHFhEU4IVi0eGJdx/CR7jZG5AvB9SX6SWwQRQHK0xC6/Hxsd0j80mG3AE8PT2VJBWLxRmilLXwaIXP91HLqwZKxR8a5oLSkS6jrPwNP/OGiEu8uDYecYHgMcDSZSDBP/s8tSHN5pWBfHnt96OUoDA8ukKGUcS43igGPsNH1FDWPAv7z3thPEiNIG3A3yrwaIn1hxYgEIXXcV2C6JXSfHR0ZFYQBAG/4g+dzwplAyGcUQwsIlE3IC2w8ODgQLFYTNvb2/ryl7+sZDKp4+NjC9UjFNPp1DJryYXBpSBXimehosB1wxNxHoX5MhbehSJEzx2n9fV13bp1y5IQ2+22arWaksmk1e3h77i6gbI7OzuzawhcJsXyEBnDZfDuXCQSsRDyIqFy5sEcOLx8FoceweUzpMsqCYeHh8a7sV4UTatUKmo0GqpWq1YDC3eGbGYiYOShnZ2dGYryKMG7VL1eb6biwnXj7OzM5BG+jvdjbvx/3sWDBvA8G0oK2YOcx5UhPYP98RHOeWWA4SO4wWeCUHBlFxm8B5Fgjwg9cua5masv/TOZXDR58NnafGG4qCQRi8VmorJ4LPwdCgmlBJkdhhc1tjgzyM9n5pRwN4bDod0ilmRFwfDxUQYcQGA+tZjJbfCbibuCcuLu3IsXL6ycrc8HQtCA3l5Y8MtBKfMI47oB4QoK4f4Pis6TpKAHSryurKyo3W7r6dOnOjw81MnJid3gLpVKRgJTU3tvb2/mzl+v19Px8bF2d3f11ltvaXd31+CxD0cTwZIulIvvCsHPrxvekJBS4POH8Pe9W0Bkc2npoloCF6aPj49VqVTMfVteXjbXG+tLVj3rBfJlX301Su/2Af05rN69uG7s7+/rwYMHM9dUJM3sIUp4Hknxf6o+sB7IHukSBGJAEAzWzruGyI/fOw4wn8czTqfThcvQcAcVhOrdbWmWR/OBFNYCgECtL19Liz2AEM9kMiqXyzo6OrL3wIjxPUoRpTePxHhGfn8V5XAt7keRcHMcV4OSE94aMLlIJKJ2u22bgd9KiRFf9Q+LjVUjF8jzVVz2gyzHOnF4UFSe9yEEu8hIJBL2/uSeoACl2eJU8ABEmyaTiztyx8fHevLkiXq9ntbW1hSLxXR6emoRiIODAw0GAx0dHVny4NnZmTqdjl1URfH76gCdTscQGdnY5+fnVkqCu4OLzhOeCvTm3RJPPHuLJ10SsBxULCYhZzL9eT4UM5c0yVTmFgAoCNfFh4l5Lt7HRy2vGwRIyNfxiawe4XkFxyHlAHFlaDKZzDSVIKUB5YShJW+HvC4UIIdQuowK+iAMa8/6h2F4ZZcPP6AB8Ap4b86NRy0gH84YmeP1et1yl1AyPnvdF/Aj05/3hrP1RLgnzZEPvp+f92dWSuQpEVnCQnQ6HdtkIi5ofshByp54ZUTe0Xg8VqvVMmIaMg1SDojsCXUUA/445UPgeHiN5xLS6fRCG4ylZsG8wGK94cJYfISN39dqNbMcEIzHx8d67733dH5+rmazaW2S1tfXVSgUtLm5KeniHtPu7q7u378/E/YnY5xnYn7U52k2m9f6537AxaEAvGX0kVNQFJ9H8blGo2GVB8/Pz62UCtnBXBKlHhNhfBAAl7lBB+Px2IwX5DAHi/clRwwEe92gJhWW2xPXfK53UyUZ5cBBPzg4sAOG3FHDyitQmkFg0FDOeAIgNRQD7oyPyLF/ngtbZCATXl6RS87M/CVa5JgvwIDvxZfNZmfcSdZNktE36IH5z0ahdToddTodqyqCMfDn9zNH34DZnU7H7vb4MLR3A/gQXB4mg0/Z7XZ1+/ZtE+7Dw0NNJhNLsCL5kRZH8DosKCUZ/GLBucxzA5Cri9R0lmQIC0t1cnJi1wNQWJ6s85nMo9FIt27dmrnB3m63Z0ju09NTTafTmWhcMpm0ygarq6va3NxUqVRStVo1dApK4tIsgj4YDNRoNKwU8PdDdHPAfcY2oWLQG6gBRVMul40T8YcTC48gI+wkwmKBIcNJmgTag7ixzFheeBfeazwem+t53UBRe5Lcuy1eIeHCcTGZWmCPHj3S9va2MpmM3n//fdVqNd2/f1+TyUWzh+n0ogIBbn+73VaxWFS3250pC8JnY2D5bORYukRQuLiLkPnSLFLyES/2hNfwDKPRyFp4IdOSzCvgPma329Xx8bGm06ndwsB7QPa4z+YjyaBnzkq32zXFhCuO6+af8dPGldKMAkAhkMw3b4lQTOl02rKA/UVcEA0PD1Tk7300KwgCs0BkrAIRQVCeKOP9QCg8K6hkkUH0D1eE+kgoDJ97hcWRLqMtQRBYuQ0PZ7kPFAQXSYhEF1dWVizb23clabfbM3XAIYPho87Pz7W6umpdXjisi2auk+leKpXsIKKcQJ7MleQ3H/FLp9O6deuWGRKs33Q6tcqa5JShRDxH4fkkT/ay3iBMOB9+jnVeZD8hxnEV5m8ESLOKgANKqsPp6amV7JlOp3rvvffUbrftVsLR0ZF6vZ6Ojo60t7dn1AGF1KhL5REaxDpG3Kc6IMfe5VlkgIJ8wUWUEvPz1zn413dvppa6dHHPlSAMz8INi5OTEx0eHmp/f1/tdlsbGxva3Nz8hHdCQAS5ZS7cu/NzvgowXKmU8OXnQ3lsGItNSDmTyZhAEoEjqZEWNFRlJJzsFdbS0pJVuPNXILiSQQoAKM0ngjGIfI1GIxUKhYU2uNvtzkT5JpOJ5Q7hnjLP0WhkoWuUTSQSsXrN+N+sz507d/Tw4cMZEh0XmPcEEaKUyO9IpVJ2yBAyODYUIGhtkVGv17W5uWmCgYvIAcXdIDABisA94/a3v6rA6/b29tRqteySKOuEMJIWwLPCF7GPIDgOLAjJoySiRlcN8r6oWEmwwEfcPPkLIiPtZGlpSQ8fPjTkwLUfDhl5aKenp9ZG6p133jGkg4vK5/nUCs+7+tC7n+ui7rh/dh8xlmQK3CNaopHwfL6vIbwm5W7r9bq2trbs7lqr1bJLzAQQUELkLbHP8M++Dr00i1KRqVeNK5USB5M3gzuC6Seagq8+Gl1Up0ylUlpbW7O/jUQiZiE8sYmbhXKBiOt2uzMsvyS7hT/fJIDF8FYX12fRw+qVIgIMwuv1eubiJJNJK2PKzWrupfF8KEmsQ6FQ0Pb2tlZWVsyV80QyFswrP5QVCAq+A4XpkwG9Rb5usJbzeTkgUPaYgwVRPJ1OTRGShjGdTmeU09ramh0KrCDP6VGK32eeOx6PW4UEBu6cJLujtQgJHI1GVavV7B4d7rbnblB+IGPIXtwuAhOj0WiG9yNgI8mSSaPRqIrFoilhj3h9xQj2yT/HfGoM5Pqie+n3jHOE0ZJk6Q0gaRAQVQwINlWrVctD63Q6evLkicrlsra3t63W+unpqTqdjsrlsiE+FBKfB2IiMkwAwN859DL2yj28auLVatXcEekynEnI2t+BgSyD4IQvoSwD2vzk5MReRykODhoXAv11C18GxXeqwM3BjQRFgbTIoF5k4Ir4sLUkIwOli0Q/wv/7+/va2dlRqVSyIvwI4dLSkiqVipWAPTs7U7FY1NnZmVkQIli4LBxYIleerMUI4AqxLiRBcugXGfBSCAYulXcjSHYF1k8mk5n60/B7rVZrpq0Ov/OtlebRgSS7l4ii4HAScp/P3+ESqVdsV40wDFWr1bS1tTVjuJAxEIaPIvpEweXlZWvTtby8bFFmcm3G47Hd0cxkMrp165ZKpZJF5jDkyJLnwlBM85nlcDHetbtu+BsLzM8bYc6bJ5kxcJKs1VS327V8N7wZ/2ztdtsCEngo1WrV3GzQMPvDfkNzYKiZG0qYz/m0caVSOjg40L179z6RBOajJYReKYfpy3qALkAu5HyguOa1KjkRPuOYg+sRmnSZc+MVJm4VXR4W5ZR4HdYZkpecEYrdEwre3NzUm2++aaS8vx+GS0QCIdwIG0GFQeaOskGwms2mDg8PzT0jTR9BQVnxmXBNiwxgPfPl0HJJGqHyBLO/E4alpSqn7xqLkgUpwEXiomHEUAjxeNyqC7DuWHQOkt9b0OJ1I5FIWG4UF779+vroqUeaoCV6lmWzWVMsGEEih6So8NxwfcVi0d4XFwVFRzAI5SjNZuKDPBbdy1arNZNfh0uIUkdR+PPK85JviDFOJBKKxS6qiUJOY9hR2LiAEPskL3tKgzPoy/ryuaAp1uUzc0p0w5RkZCj5I1xCnNeALJgnn1lwb53ZFNySTqdjfcBw81AQvo4P9+hQSiw8h+b8/NwSFBclgFES86ghCAIrUTKdTq1UK5GJ0WhkPdg48GEYql6v69GjR6rX69rY2LCOJT7MnMvlLLudOQVBoHq9rlarZeF7up7gKuBeep5rEa5FugwK+EMB6uI96U4bhhcdP/L5vHF6rBX7ytqDqkgRSKVS2t/fVywWs8MDv8jhJ0uYgwL/g/Hze4DSWCQZtlwua29vT51OR8VicSYUD2Lx+0C6RrfbNc7MIwvogkKhYPPEfQmCQCcnJ1paWtL29raKxaIVVMPlZWB8PJLg3EBZfD/Z+Rh59pXoKIiV7yHxQVH+/iTGBqVTKpVUKpWsHRRyDRdF7hkuPIZHuiTQWTfPD6IUyVn0iO3TxrWcElc10IbUl/G5Qdxrmkwm1rqHzee6BC2HcP0If1LwLZFIWJTDhziZ8Gg0MmQCx4ClYWOxYFRxvAoi+sH7k0qPsiNHh3yrZrOpd9991ziQw8NDPX36VMvLy1pfX7cs34ODA1UqFeVyOcXjcdXrdR0dHSmXy1mrH1wkNoiUiKOjIyPpS6WSubcIkSdOOTyLRmxYE54TwfAu2Gh0WTqVnme0qN7d3bWozXA4tIRJUA1VHPb29jSZTCwKBXlPWRBSB8jt8rWafC4Y6AJBX4Rv4dB1Oh1T5tLlwQUZ8T2BEUlGZJN3Rp7N+vq6lpeXdXJyYoX6crmcXS49OjpSq9XS/fv3rdEmMkTUGsSLYeYMQLLTm23RPCUUnz8DIDoMCGtGqgOGHBLaXzEhEVnSJ3hi1s3nPYHyJVlQAHTNvVhcfAwZwQSAyCv38KqJt1ot66AK7CZXIZ1OmzuBEiLJDGH0Rah8CVdQAItKe+x6vT4TZSEhazQaWYSMyflQJIdpOBwaaff9hleHw+En3BFgMFD25OREBwcHun37tg4ODnR4eGi8Gq5CLBbT7u6ufuInfkKlUklvvfWWptOp3n33XfV6PRWLRe3s7KhYLKrX65nrCxn45MkTHR0dzdQ1wo3A0hJ1QYgWvU6DCwmfxxojSCBO0CAXZvP5vCEpn9B4enqqfr+vZ8+eKR6P68mTJ3bplr0vl8uW38RakWCHUoBzwML7BFJkgMN73cDlZK7Up0LWeF9JloTKPUeUJfcXp9OpNjc3tb29rX6/r42NDTuMPg/KI6p+vz/TKde7MdAPXqZQWqCKRXgzSZb/h2LwZ8C79B4dQzyTR4RyQM59Zj9IzifaotBJUSFPCf4WJUftdS7Jc6bg2n4gpASBTdsjn3hG8TY2yPvuaFkWBwRDNIfXoOi8IsM19NwHoUl+RoSNSAmb3u12LUrAIVpkkPdDtGQ+f4RD0Wq17L7Rl770Jd29e1e5XE7VatXcK0lmpUulkuXvkJt0dnamtbU1ra+vWwSFKyqpVEoPHz5UoVCYsWAcJKwj1sv/bpGBgGFsPL8C/MbaSpd1p7n7iBuWz+dVrVb14sULLS0t6fbt28bFUCuJ9aeULlGfVCql4XBoFRNAWz6xzwsyhwAK4LpBWyzST+Bd/OFFuVYqFbVaLeXzeVOMnU5Hjx8/toJmKDVcTpBSv9+3Z0eWoR94doIgnnTGZWLfING/Hz5JknG3eAikjeC5+HQMPjcajdo+wRv6PDSQKd4Q8sC1KObFVS8MGi4g36OcWAtQMDlMnuz/tHFtkTcmgX9KJITkKjgHFAwcEq4CBxpEAMFFfg293RKJhBVEQ0jwdcPwohAcGyHNRubgpMiHmk6nRsotMnq9njqdjrXRhoyE9PXZuJubmyqXy1abm9QASdZzbm9vzw76/v6+5WYREarX65aIBn+DsgctkldCNq3vRY9y4v+LuqmsGe/luUC+qA9O4ujKyoqVodnZ2bHyJZlMRr/n9/weW79ms6loNKq33nrLrqO0Wi3r6UcKQTKZ1Nra2gxPhdUmgouLw/Mi4IsELn7rt35LxWJRrVZLGxsbki7de94XRUzUyaOj/f19VatV5XK5mfrl3HWEV8U4cOCLxaKazaa5grdv37bifihpDq8noweDgQUGeJZFBkgeo08Cs08EpTwOSoGKo5KsZ5skI6y5MuMrIEiya0MAB19ah7XgziEuHImZnEPOqA+yvGpcqZTQfj46xeairNC0PkWAhomnp6cm7EtLS3apD22ey+U0mUysqiSELxaKTZQuBL/Van0isQ/4eHp6qmq1ah1HPHK5bkSjUTUaDa2trc1cF8FKS5d5JYlEQslk0urpkKWcy+X04MEDdTodHR4eamnpojDam2++qWKxaNcSBoOBPv74Y41GI9XrdWtBhNsDr8H1ARQr1vXT7hUu6qayVkBrf8Eaa87hoNRxJBIx8pYwNG772tqaNjY2zDh4Y0DIGN6M96GFN+4Uiha0gazg0nDoEOzrBi5Ns9m0vwcJEMhgjrghdJDtdDo6OjqyTi4gIQ7ZPJLHbUHJkCJxdnamRqNhVVe5CsRZYi99ZAojs6iB4S4hZxNKYz7/DeMK0vMyzz6i+PlbH2hCQWEkvSwid3CO/C1IzCdw4raxVv6czY8rTy1QFxLMk6wepkF6E6pOJpO2EaANX/cFV48yI/jfCM3Z2ZkpLzR2LpezolqEmVF4XA/gjhnXXBZFSkQFGo2GWVeIVu8ywHd5TgIrA4GbSqVUKBQUBIE2Njb0zjvvWLTw7OxMp6eneuONN/Sd73xHsVjMAgQnJyczGehwdz6nCeGTLisXsBaLDFyI8fiiZAoIDwFjvdhnTzpHo1ErW+LvN52cnFjOTq1WM9IXg4Jh8tFNyp34KJh3SfkiDYCDvMiBRVmg4DnsPnmRnCCMbr1et4TdjY0Nc0E3NzftjiH8YbFYtP6FUAkoQZotEtxgjn6fObjsH0qTvV00kgoP6VMa4Iy8S0l5Y2n2sjKoFYUNH4XSOD8/V7VaNeCBa+49EGSDK08YblClv1KEaw7IuCoyfq1SYpPp+okrB2nlb3/jc8ZiMbukOR6Plc1mLRERUpVQOAlZ/B0aHgtKQflMJmOdcLH0kJ/UYqpUKhY58CVRrxvwU5QawZXid2yyT98H0kMKDgYDPX782CoTvHjxwlpwcyeQzq1khYOWWq2WSqWS5TFFo1HLZ/IRHO/mMTf2Y5EByuWSL/vA3qAMcBvPz88t/AsPQ7j36OhIQRBof3//E64WSowIExYVwwNvwXx4jVdGnu+StLDixUihePxVFv7v005IdqTkLTf+K5WKvvGNb9hz8vpEIqH19fWZDPDDw0NVq1U7zDQY9ReNQVfsGYaNqBhXPBbNrYOg9zwVcgk4ANWheObvEfKFIkKOABLSZYcX0DuGGWQMXwzoQAmhfLyx88bhKh70WvcNYSTKhtWSZDwR4WUmD7ELFwGnALTFRSEr2bttLDLJlPjeaH7uhLFouAj45T6tf9E8JRZrMLioQ762tmblWYDvCABRE8oC47JIl1cRWLOjoyMdHh7a/CBziTSBWKQLA0AeFAS+P8QIAMoJ4eB1i86T92HfcAOly6L7/mqJrxjoe37Bf/hsaH+FAEWG+wZy8iFmr+gkmbDzWRwIj0iuGxjCaDSqarWqzc1Ni0hR6RKExHpwXy+Xy6lWq9kho2txuVzW+vq6Vbjg1gDRWEmW6oG7RuZ6rVZTIpFQNps1eWIPMXieM1sUKdVqNUu3ICXH334gIEOQirXjPElSqVSyC+c8B3KQyWRmIoKg/V6vZ2sEkiWA4903XH8PZFB819X/ulIpIZAcRFov+5B9JHLR3pe6KUwEF436O5BcLDzlXyn1wKL40rTS5dUIFgZ3BhQ3mUxmrIxPBFwUQXC1gmQ4EvuAu3weBPRkMpm59ImylGRZ31hJKvv5jHPQgc/HwaXB/UUwiAL6qJvPF/O823UDTioev+hczJxBAiBCMoQJGXteEYXWbDaNV/Rhbx9xZXBosKb+aox3Kfk7BJloKDk1i+wnLuf5+bkpENA2WfJ8JvuCDGazWd2/f1+dTsdyzUDiJPC2222Tt9FoZNn+pDzATxJ6J+rKXrGuhPTnEy0XRffeaJL3xlqjlJFd5o8XQdIqCgpCn7X3d9owUng1uNBEDUkLAKmBxnDlfNUMxnUVH67cZTQaiogqihSGR3lA+EGI4epgiTi8XLtACOFkYrGYMfoIj/dvmaTPV+Ew+MgNi8Dh/n4O6xtvvKHnz5/b9YF0Oj3T1x0Xk8qZkmy+uC08F+4l80Dh+v/7PBySSkkwJGnTRzhAFCg2Pn9lZWXhEqokTeLC9Pt9I2PZD1Amipf9BIF4zgZ3h+fCeJAmgnXEivvqBxwY1p/DxVxwuTjc3y9HSI7M8fGx1tbW7Aa/d0F9XSxcbL5PJpOWYoKbjsvLOlKLyNckQnYkzcgpxgflzz5DByDfi7pvRH1R4PwtgQTIeZ8YS8gfbncymdiVEgAFxgE5gHvCpeM1nDlQredZMR4gJObuwQQy/GnjSqXEh62srBh8w8JgdZk0SInWy9xj89ndflNIwCwUCpanxGQQSBaQjUPjwhewkHA1PteCw7DIwPUjy/ib3/ymJOnXf/3XdefOHft8uBOekedD6LCqHhl6ReRhLgodLo7Md+ojUQRuaWnJoo7kX3m+ACW4yCiXy3r77bc1Ho+1v7+vr33ta8rn82q323r//fcNwYFkQIuEtDkwKH721ee9SJqxyhxKrDdICguM28wBxmVEIflrIovcffNRLC4Ol8tlU5pYdf7l0BHq7/f7tgc0T2XfSAxEqWCkkF2fqwdyADW3222lUimjL3AjuajtUckiwydFBkFg6RcYOTLzkTOQvKcDQI0+iOWj1syN2wecO+8NcOagFub3mXMBQABNfubkSTYxGo0qn8+bEFFYnYebd0PQkPQ7xx3xCKrb7SoWi1k0A2XC4ZdmLQ31h6TL8p5A9GazaULHhjP5RcZgcNEaiNwqOm9AhNJUj150kixPy7sjWDsOse/oglXB+uAu0PqbkHI0GrW+aMvLy1ZaFBI8n8+bK0DX3UURxFtvvaW33nrL7nr99E//tAqFgp4+fWqVDVASWMtUKmX5LiDDXC5nXAzcAtcMcBdQ1jynJCN8EUjydDzCZH385V1SMBZJEsVSE9GDx6NSIgaAQ4nyIToKFwaCmEcXnAkfPsclggzGoJIJP5lMrM0WRorcOLLboR++HzSIywX9gUcCAgN54lZzhkE67AkGzjdr8MGK0WhkeUjwpgQTOPf+2VHQ0+nUMuPhepGlq8a1nBKLTN0cNpWFxGekHxgT7Ha7MzlFTBiB42YyZLe3irhrKAAWwz8HRCnKkSgHRDzvucj4+te/bnkc1MlZW1vTH/kjf0S//Mu/rDt37phL4BUdhc+wTJDUqVRK29vbFl2jED2/j8fjlpfl70JNJhelHrLZrKbTi7rWJycnFixgIAgc9kXd1LfffltbW1taW1tTJBJRo9HQm2++qVgsZneVwjC0/Knz83NLIvSQm7SLbDY7k3yJJUUZ8WwgXKJ/7C+FxVBqoBSfjT8eX9xGJxP8ujEej+21uFynp6fm6mDJcUVBdVh30iy4P4eiQhH5gvn+doIvJgdPg7fAHTr2TZptjsDawZ0tMohak0LDsxOE4Cx2u13lcjlr/AEB7yOi5NQRCPB8La48qB+qBuBBVJI1QiaJfIKuSY3gjF6lfK9USlh0LPzq6qpFJogycXH03XffNesC++9hHLyRh/KUByGSBnznNjYbyz0v8po8wcyBJ58JAeFzFhlvvPGGnjx5op/8yZ9Us9nUd77zHd26dUs/+7M/q3fffVf/5J/8E21vb5vwAHOplQSiYLFpvFksFk0AuMKAsvXJkdQSImOezOput6sXL16oVqsZp5dOp60RQyQS0a1btxY6rNKFIG9tbUmS7t+/r48++kjdblfZbFZf+tKX1Ov19Gu/9muWtuAjjMzDV5xEeaBYEXAIZVAkggs3BKLFYlPPmTl51wJ0tr6+vpDyRTEEQaBqtapbt26p2WzaZVoUAUYQN1W6zAHzKQUoazhL1h4eykcUyaWi8wlUBUEJ3B1QGdQDa7LINRoG6BElzxz83T8fluf9CVoAHjzBDkqFP2VOKFMKFPqUALLIAQzMG9Icg4U+8GjqVeNKpTQcDq2futfoPjcml8spm81aOL/b7VoHDm+VSBsAGodhaPeKeH/8T1ARl3alC5eNgvwIH64GCZjeSvBZiwwiDeRDPXv2TL/6q7+qP/SH/pB+4Rd+wTr9khzHAeXOG9Yd6wCnBpTm9yANX3+JqwogrV6vp16vp0ajoXq9bol98BxklLMvHNpFxpe+9CXt7u5aK6h2u60PPvhA3/72t7WxsaGvfOUrOj4+1nB4UdK0Wq2qVqvZIaSBBMiCNBEMBFdiPCJgDyD/vbuGgGO9WSP+jUaj1rigUqmYQr1qIHd8STLeRtJMhFa6PIwgHP7O74u/VoKBJUsZJc0AKXLrgTwkEAeonkgeV6+8Al5kwNd5ZIZc+pA7vCNnB9nj9RgIuE6CEb4hwXh8UZLY3/AHdeEBoXCgTzzPiktPJVDpsmXXp41r774RqWGj0PTkj7CIVA2QLhoC+pwWSTM5SCgeLMd4PLbLriwsCun8/NyUF3+H5mXRsUxsuEdOi4xo9KJSAfkk7XZbBwcH+uCDD3T//n393M/9nP7O3/k7Nk86ZjQaDcv3QbCHw6GKxaLd+UJpsfEoVVAFsBiFxhUF+nLhn3tXAYW9v7+v+/fvz0QJrxrb29uWO4Zr0Wg09Pz5c33pS1/SV7/6VevmUq/XFQSBdcb1ia2xWGymHRZzAt5zmDFeo9HIEAFuKPk6ICPIZw4Ncnbr1i09fPhQz58/X8jIYKykS05yeXnZ7hR6txL3DbREZVGfeQ3CHwwGpiz97QTWhDmjsJF/vnBxPG+F6zocDq2/3KKuONFFImPMi/f2eUKRSMQicRhwAhFwvd5tBCBA1kejUevH6FEm+8RnoLxRuugM1iSbzZqMXDlPkMrn+SVpRdIvSnouqSPpdyT9/Ke87i9KCiX9wS/iub6oOUq683JeXff1F173M38eeynpfynpey9/911J/9LrfuYfYK7/qaQjSW1JH0n637jf/XOSPpB0JukfSLr9up/3hzlHSV+S9JuSGi+//p6kL30hz/QFTTwp6S+9PJwRSX/4pdDeca95Q9J7kg5/TJXSK+folFL0dT/n5zzPbUkjST8vKZD0z788tGuv+7k/41zfkbTy8v9vSTqW9BOSSpJakv5lSXFJ/56kX3/dz/tDnmPu5Z4GkpYk/RuS3v0inmkxrPgDjjAMe2EY/qUwDJ+FYTgNw/DvSHr6cvKM/0DSv6MLof6xGwvO8cd+XDPPHUnNMAz/bngx/mtJPV0YnB+7EYbh+2EYEkUIX369IemPSHo/DMP/KgzDgS6U9NeCIHjr9TzpZx+vmmMYhs2XexzqQjFNJN3/Ip7pC1FK8yMIgnVJDyW9//L7f1nSMAzD/+Z1PM/nMebn+HI8D4JgPwiCvxEEQek1PdoPdczN8zclfS8Ign8xCIKlIAj+JUlDSe++xkf8gUYQBP9hEARnunDVjiT9N7pAF9/hNWEY9iQ9fvnzH7vxijnyu6akgaR/X9L/+Yt4ni9cKQVBEJP0n0n6pTAMPwiCIK2Lyf6bX/SzfF5jfo6SqpJ+UtJtXSCK9Mvf/1iP+XmGYTiR9Dcl/ee6UEb/uaQ/+fLQ/liOMAz/lC7266cl/You5pXShfvmR+vl637sxivmyO9ykrKS/oyk3/4inucLVUpBEEQk/bIuXLQ/8/LHf0nSL4dh+OyLfJbPa3zaHMMw7IZh+JthGJ6HYXjy8uc/91Ih/1iOT5tnEAR/UNL/RdI/I2lZ0h+Q9NeDIPj663nKH84Iw3AShuH/qAv39F/XRaAiM/eyjC64tR/L8Slz9L/rSfprkv5mEARrn/ezfGFKKbiI5/6ipHVJvxCGIZmN/5ykfyMIguMgCI4l7Ur6W0EQ/Dtf1LP9sMYVc5wf3EZ8Le7zDzqumOfXJf3aSwU8DcPw/yfpH0n6g6/nSX/oI6oLTul9SV/jh0EQJN3Pf9wHc5wfEUkJXQQzPt/xBbL8f03Sr0tKzf28KGnDfe3pIqqR+qKe7QuY4/9E0psvN7Yo6b+U9A9e9/N+DvP8A7pwVb/+8vtvSKpJ+rnX/cyfYY5rkv5VXbhqS5L+kC5I+39RUlkX7tov6CL69u/qxzD6ds0c/6cv929JFyjw/6aLyHj8c3+uL2jyt3WBDgaazdX5o5/y2mf68UwJeOUcJf2vdBGh6umCSPybkjZe9zN/HnupC1fuY124Mk8k/Vuv+5k/4zzLkv57SU1d5PC8J+l/637/B3VBDPcl/apcesuPy9dVc3wJDD54ubcVSf+1pK9+Ec8VvHyAm3EzbsbN+JEYP5acxs24GTfjn95xo5Ruxs24GT9S40Yp3YybcTN+pMaNUroZN+Nm/EiNK0uX/OW//JdDOjVQR9t3yqTAVxiGVpaEMgXUm6b+jq/zHIahlUzwhcSpbcN7UpbVl/WgNAblEmKxmHWYoJ/aixcv9PjxY3388cc6ODi4tt7Ff/Ff/BfhysqK1QynqDvlWXhO5kzJEemydAO/9/8Pw9A6hPI7Xu/bCfmW1BRmp14O5UwpH0O95w8++EAffPCB9Rs7Pj6+dp5//I//8fD8/Fy//du/rfF4rG9+85v6mZ/5GW1ubtq8qLFO3SZKpbB/FBCTNFPPmX2joBsy4iuA+rKpFD2j/RZ1mGhlfnJyokajYev2/vvv6/nz5/qVX/mVK+eZyWTCTCajfD6vUqmkjY0NfeMb39Dbb7+tfD5vc6OdNsXpfAstv7/zwxe28/NGZn3FRl9QjbpCyD6leilwSHHD/f19/dk/+2ev3cuVlZXQlwmh7DBnlYKI7M98javxeGzF3CiLQysw6vHTJJZmmhRdpICfX0M/KP08HA5Vq9V0cHCg/f197e3tWb2uSCTyyrN5bTPK+WJdfnOot8RGMrn5yoT8va914w+x7wPmi315gff/+v+j8HzZTZ5p0X5olPzlUHnhYo48HxspfXo7HF+vx4c557t3UG9GkhV8RzFTMCsML4vcsxZUvmQNqFe0yKAAHgXa/PvO927z+/OqfzEOlELlb/zcwjCcKYnLz3zrKi8rrDfrGIah9WR79uzZtXNkXqzdpykfvvhM34iR4WsReRlm3t54eqXEmP8/9YYwRAwKtfH+ixYmlGTrRzVWFDG131lDPtPXiUK5UI+M5gkoJZQUBmZ1ddWM0/w+sVa8P+WTg5eNFZLJpFWFxQhfVU/p2maU9kLX+wkk5LWlV0i+IJkXDt8jjJ979OAFmwqBXlHxTH5TeS42ACFHWS0yKJrO+8wXX/cHFsU6L4S+N9z8fFDaXjHzWl8sjKJ51F2mzCmKlhZGrA9Kc9FyuFQAzGaz6na71u0FK87z0OqJOdAeaTK5bB/+aUjCt+phjzn8CLBHipQAplAgBfHo9+Y/e319XdvbiyUT+24p1LKWLg3hPNqhcJkvA+vHvKLwCpkv3wrM16DmoPoyshgRj6p4/SINN/lb1ovec2tra1pbW1OxWDTFgvxScI1CbP5crq6uKpvNWvFAPAXOs28K6883e8w8kQ1/ZjifNKBAjj9zNxPa/1Aik5KWKCZJn4D2CB8C7uG7d/v8wUYIPJKQNGPV0di+9Cab6OtD8wxUVlxk8Hy4cAiOt/wgH//sDF/qFiFF6Hm9F1Yv9B5ZUaCd13t3xxdid8lv3xci9D3HlpeXtba2Zl0+Go2GptOpcrmctc/J5XKmJD2iRdEw3/nn8b/j+TjwlH7FHeXAnp+fm1uFUvJuz8rKiu7fv75yBkrArz/GwCMFrzyRMQysR6K+sqSfL0qJA8h7Y7j8XrN/YXjZotw3WvDVNxftwCNdVEFFAaXTaW1vb1tjCErwYhAkmULy9AfnmjONUfLPghfBa/yZngcTKDv/tbKyolwup+3tbZ2enqrRaMwY9Plx5Qp47cib41v6Fjoe3iKglBL18JYv77PP/8uGeldvHkLjE7PpKDGel89YtO8bB4nF7nQ6Oj4+ttrEHJBEIjGjGHkujwr5wkpzQOeVEs9NiWF+59vXgJi63a7Ozs7MdeNAI3SLllDlkGezWeVyOe3u7iqRSKjValkN7V6vp263q0ajoVwuZwJOyWH2G+H1++eFnkM/X6Qfi+3RFHNuNpsz/clAVri0qVRqoTn6gwfHxTPA2SE/7DnGFbfG9/VjeN7Tf89ZYK7wgHzPPvM7zw/S1DWdThuqWGQUCgXt7OxYO/BcLqc7d+5oc3NTq6urpmABEp5bmj+zXrGAztljjArfA0CYv1eon7YX/HxlZUXlcln37t3TycnJlZTDtUoJ4WDD8BG9lWCTKH4fBIER036TsegeIqNQfEtqlB3PMJ1Orf0MNY+bzaba7bZBUo+uWORFa3RTb7rX6+no6Egffvihjo+PZ/qUhWE44xayOcvLyyoUCjPuH6TjdDqdaU+EUqBbLoeTGs0U86/ValZgX5LVdfZNNlkPz6ddNyDQS6WStre3DUnSxki6IFxpC0VjymKxaHNnTKfTmdZYfPmmkr4OO4ZiMpkYEmL/qVPNIUX5U9fdK8PrxjwyYN2YF91xmINXOp478W2XXoWEvds1HA4NBWFAoCBQTnwWrgsGBiVWLBZtH64b9+7d0927d21Nt7a2tLW1ZbJII03mMx+U4NkBAfzcUyPsGzrAK2nvtrLufGFk2TOQ8vLysnZ3d3VwcGCNHD5tXKmUeGMUCwep2WxaH3SK7TMxOAE2kUkSyYKU8wI2nU51dnY2M1kgMcXm+aLLR61WU7PZVKvV0mAw0NLSkrLZrNLp9Aw/s8iIRCLa29vTs2fPVK1WzcL76BlWntbNtBJaWlpSPp9XPp9XoVBQLpdTuVxWuVyeiVKAEEA9RJpOT091enqqarWqbrdr6Igmk9Fo1A726uqqxuOxCoWCKTi4ukVGq9VSPp+3rq97e3vWf44mk6wzLdIPDw81HA6Vz+dVLBZnuha3223bSwwKCobmB3RASafTVrCebrooKuQjnU4rn8+rUqno4ODA5s3fISNXDZABLjd/t7e3pyAIrE8fskwU0HcnzmQyKhaLymazM66k7/bMPk2nUzWbTTsTcIGeXoCXgTzmrKysrCifzysMQ2uYmc1mF9rLu3fvqlwuWxStVCoZWU0TDx8phd+hyYV3ZRnzVArKd57H5Cx4UILLTLcT5BPDDPJPJBLa3d3V/v7+K+d2rQPLxF68eGHohE6mQRCYsAXBRQcF2nCjEFZWVkxYgPzAPobvtgkaki46NhwfH5sCIhx+dnY24/KANE5PT2ciD4siJTqXdLtdbW9vK5vNmtVut9v2WXS6kGQHZDKZGB8zHo+tZx1hWUlGUPOeCEOtVtP+/r4ODg7UaDSs6wWf59tHY2larZb1t/eu6yIjEonoq1/9qtbW1vTo0SNzKVZXV03BwS+gXOBBqtWqdQShy2mn01E6fVESir0ALREW9i2mULadTsd6w4FEfB88vs7OztTr9ZRKpbSxsbFQ15ZYLGapDEtLS9YMkkNEK/nz83Nr7U33V+QynU5rfX1dW1tbKhaL1p2G18AFdTodtdttPX/+XNVqVc1m04wWCMWjFYwB9AOKMJfLWbeXRaNvhUJhJlyPzHOOPKrhHPBcBJA84e+j6MiKP2PIA0qLvcEL8F1sUJS+cwnPE41GlcvlVCgUXjm3a1ss1et1vXjxQkdHR+ZiRCKRmYZ7POh4PNbq6qpKpZLW1tYsPBmLxZTJZKyhJF1GGVgs2v/gOlSrVX3wwQeGhphsLBZTLpcz1LW6uqpcLmf9rbCWV03cDzqo3r59W/fu3VM6nVa9Xler1TIXZDAYWH87kIAkc2tRIPS3w1L4sD7wHqSAgpVkOTSgI0h33hsytt/v69GjR/r44481mUzs8C8yfvZnf1YPHjzQixcvdHBwYMK6tHTRaTWdTs90qMUNk2RthnK5nFljPhdhTiaTSiaTOj8/19HRkf0diJHcnE6nY0rKKyQOEeQ6lhaBX6TvG/RCEAQWSULBRyIRMxYo4el0as98dnZmbYQ6nY5qtZpKpZLK5bKKxaKWl5ethVez2dT5+bm1oqJxKygNQ4LxBlXxjCA0+sIRbbyKAJ6fJy4me0NeHwrAp2bgygIY4IahA8jfYp04235N2u22Kc9Op2NrAELCwBDl9SkoyAKI+CpEeKVSGgwGOjw81N7enlnFYrFo8K3T6aher5vC8LAcrmV3d1ebm5sqFovWTRd4CT+DEBweHur09FTdblfValWHh4d6/PixRSukC0WZTCbV6/WUTqeVTCY1mUxULpe1trZmFoSunYuMdDptkShQ1+Hh4YyCpHFgt9s1KIpyXF9fn9loPpd18GTgaDRSo9FQp9NRpVJRGF727gL6e7cRghe3I5PJ6M6dO6pUKqpWqxZWX2SMRiO9//77pkySyaRWVlYMhbZaLcXjcYPuWEJJBsO73a7q9brtcyKRUCaTmUF5cAl8jyKq1+v2zKAF1m06nSqfz2tzc1O5XM7WK5PJaDQa6aOPPlK/39e3vvWtK+fIIQvDUOVy2YwIHAuuGMaSjrfIFr0FO52OGo2GDg8PlcvllMlkZposSjK0RfBga2vLUAVKAV6MfV5aWlKz2dTR0ZH1AYR2YE0WGbiCuEYnJycz3gf/R14JYPigDoZvfX1d6+vr1oodwOENJ55IpVIx7pMmopzl1dVVa8TqkzPRD8gQOVWvGlcqJRYXeMhGNJtN6/3OJPnQXq9nh4+Hb7VaWltbUz6fV6vVUrFY1NramvnovV5P1WpVx8fHlpVdrVZ1cnIyk8+EJo5EIiqXy5bJjZUApeVyuZkDdd1AidTrdVUqFTWbTe3t7ZnAsflnZ2dqNpvmOjHg3egAinLGakuXhxqoC5ksyZRKo9HQycnJTLhWkmWal8tl4/cymYxZxUXDyK1WS7lcTslk0tYJJYmi2draspbQp6enRpJ6i1kul7W+vq5sNqtCoWCcICiaOY5GI+uye3R0pOPjY0MOjUbDFDgtsHHF+YxsNmt5SoeHhwu5b+TngIrg80CoJGPCR7bbbeXzedXrdT18+FCJREL5fF7Hx8dqt9uKxWI6OztTv99XOp22nDbet9/vG0qWZOi40Wjo+PhYxWJRh4eHWl5e1oMHD1QsFu05fF4UHY8XTYTFnU8kEur1eoawOR9wRtPp1Hge1gDli8dTr9fV6/WUz+dNQZKXBgfaaDSMRul0Omq1LkqUDwYD48Km06khRJ4PT8IjKZ77VePaPCUsd6/XU71en8kzIK0dFy6ZTKpSqVg3TKA31pGF8K6JpJkETCw25GMikdD+/r4dPtDCP/vP/rMKw1C/+Zu/qSdPnhgiIZmMduGLjGQyaUI6HA6NP4lEIioUCrp//752dnb09//+3zcLXq/XlclkVCqVFIlEbFMTiYTBWU9cAn+XlpZmCFFaU6+vr89wC1i1VCpliAoUg7tKt95FeSWUImuYTCaNGzk6OtJ4PNb6+rohhOfPn+v27dtKJpMm1JHIRRdgkvWy2axxZ+122/aZCFSr1dLh4aGePXum4XBoxqnT6SgajarT6VheFEl2HJ5isSjpQtFsb28bf3XVQDlwwECr3l1CIbfbbUOJXKGiA/P6+vpM0iecIQmJcCyTyUTFYlHxeNyU5tbWliKRiB49eqRGo2EHO5FIGA8VjUZVKpXs/UGai6JeSXYevMuKd3N6emoRs4ODA/X7fSWTSS0vL+urX/2qnjx5ouPjY3PhgyBQu922TtG40HgKIC5SR1ZWVlQsFvXkyRM9fvxY8XhcZ2dnunfvnoGCbDarO3fuaH19XclkcmY9r4oyXqmUgHVEUghvE+Lb2NhQPB7Xd7/7XbXbbeVyOeXzea2trWl7e1v1et0O59nZmY6Pj7WysmIoqVQqWUvuyWSiSqWi8XhsORulUknFYlHpdFrPnz+3HuY7OzuGGL7xjW9obW1NuVzO+A6U0qIbfOvWLU0mE3U6Ha2srJgVWFtb04MHD3Tv3j0Vi0Vtbm7qyZMnmk4v7mqtra1pZ2dHzWbT+DJ/zw9/n2cha3YymdgmBUGgzc1NPXjwQB9++OEM4bu8vKydnR3V63X1+31b92QyqVwuZ++1KCJEmXHAM5mM3RXc39/XdDrVT//0T5uLQQCiVCoZ0c+er66uGhEehqEFCEgGBOl+9NFHqtfr6na7KpfL2traUjqdtvbgd+7cMU7lyZMn6na7+ta3vqVEIqFcLqdS6aIT1fLy8kxr6VcNIqOFQsEOAcGaRCJhkdH19XWtrKyY0bh7967u3r1rtAS5ZuVyWfl8fiYjH7SUzWa1s7Oj9fV1RaNRJRIJRSIR46GGw6FevHhhcryxsWEyRs4ZETMU4qJ7SQAhHo+bckPBw9XhJo3HY9XrdaXTad27d0/379+33/d6PctVSyaTKhQKevDggSXRgpZIiYF/W11dVaFQMHcZxHnr1i2lUik9e/ZMtVrNrghls1lLDbou5+xapET0IJ1Oa2NjQ7du3VKlUpEk5XI5Y+2BkW+//bbeeustlctlPXr0SNVqVYlEwsLdCFY2mzVyV7rwfWOxmPL5vDY2NizlIAxD3b1718LghUJBd+7c0XQ61enpqWKxmG7fvm0XaaXLJM5FRyaT0fb2tkF/UAjkbLPZVCKR0IMHD1SpVHRycqLz83NThj71HuK9WCza3xPpAKGkUimzGESaUDqrq6s6OztTqVTS5uamRSuw5Pj8pD4A1RcZS0tLevvtt/XlL39ZL168UC6XM6tKCsPZ2Znu3LljaRa4VvF4XMfHx4pEImo0Gnry5Im+/vWv2zNz8HFdC4WC1tfX9Z3vfMdQIO81Go2UTCa1u7ureDyutbU123tc+2w2awqGPKpFrmD4S+AcPFwIfg7nBNcZBIFFbVEucJKQ1yBA3CLczGQyaRE0onqkMXzrW9/Sw4cPjQaJRqNGDkuzSAce5vshujnc2WxWmUxG7XZbpVJJ9+/fN0QcBIHu3r2r0WhknCd8G+kI4/FYx8fHMxxwoVBQr9dTv9830n95eVmbm5uGiLPZrBluUiwKhYLi8bh2dnbU7XZNZvF6JBkqftW4UinBlqMlcdlisZiFdCORiO7du6e1tbWZnCTgaqlUsgfr9/vKZrMzqfHZbFaRSETdbneGC0IACLGWSiUjyXyo0V99wR2Ea1nUfcOCooRTqZRyuZz5z/V63YTl4cOH2tramrmdjfAzp3w+b/yPdHlFATKQEDyEIhD7/Pxc9+7d08bGhiXeDYdDO9SsHekXuHeLIAhJ+uCDD3R+fq7nz59rOp3q3r17ikQiunPnjn72Z3/WjAvELc/n7y8RlYvH49re3rYUEA4YKQuJREKbm5va2dnR0tKSBoOBufVhGBpCIaSNxS2VSiqVSlpdXVW/3zdeb9HkSU8Ao4BAcL7CBZ/r+bv5nDoUI3vh0wb8lRSCHsgmA3qDMDlIn5A9kWSyqHG3FhnMBWIZmUGR1Go1e14UNPsAsgehwovt7OzY+YYI5zyUy2VzffP5vLm5Pgse0luSuXeAGjgvElmvugJ2pVLiNjELhpsFUYgFgKwjekC+BiQxKQHb29uGACA5EfxyuazNzU0LNbKA/X5fvV7PhJ5JstA+SdNfG5i/n3bVIKLHSCaTlq4PD0BuFG4aUZhoNGpZtLia3LSGiyAXBCsMsiJCAVFOPotPQiTLlijX6uqqGQfyqRa9+5ZIJNRsNvXixQvt7u4ql8upWCwql8vp1q1bloMEwsN98xcwCW3fvn3bLCBufSaTUaFQMLK21+vpzp07ikajdrUA7hH3E2SBO7C1tWWIF5LZI4vrBsoCF5rP8vfrWH/C8OyPJJNx8oh8RrZXKj4QgcHmcOLSxmIxQ1iQ+Oyvz1QHrUhaWCnxtygQIqmZTMYUKgQ2CnE6nZrhlGTpC3gxzBf+jDwzuFEMValU0mQyUbvdttwln9LhFZWvDuDvdl4VGb82+kamJlEYiFrqF3W73ZlJs8BA2I2NDaVSKRUKBaVSKVs8v7ggDaza8vKyZUjDZ6EU+v2+hZsRLAg8ryAR+EUGGh8XlI1JJBImLBxGf9cMBQU/wy1oIDkHDsUkaSa7N5fLGYGM5fRIFJQqydwELKtXFIsKMtxQvV7/RH4Vmck8q3eB/F0wlGu5XDblT3pANBpVPp83JIuVLpfLisViajabJpAILRafvDZcq36/b8pt/kb6VQPE5XPaUOBwhf6Ki08cxKDBpWAA2Eufd8RnIbsQ6hw+f2/T35OEQJYuy/l447OoIeWSLIEXuCiMCvwO55Kz7K8KBUGgZrOpRqNh54s58vzIK26fN6DIEyksKG3O9/wdRKLW3gh82rhSKfn7ZGxwLBbT1taWwjBUIpFQpVIxVMTlRCzuxsaGIQ4sDOFIn87u3RuEaDKZaHNz07Kgm83mTO4OrhAuDdCQBfKJY9cNFpNMZtCLv8cWj8eNR5AuM4eJPvmLuyg1hr8HRISQ/BSfG+N5C9bDJ8ihGPi9v0u3yFhfX9fx8fHMHFBOt27dMisrXQojcyFz/fz83BLtUPzsO+gBN5y5wAel02lzNXF9MpmM5QGRO+SjWx61LXLNBJ7Hrz+KgXwwDo2/m4XiQCHNI26ff+evVfj9JRnRGyM+29/n5ND7C9mkCSya3uFTLwh4gM58VQZ/YRgFDLdLsiXBKwwL8+bZuWvJOUG5wvmhePxdOJQU64CRQia8cpwf17pvfgH4N5PJGDm4ubk5Ux+FQwdyIIzNAqA8fMEr8pzILSHjG18WzYoF5u88f+BvpaM8FkUQJPMR9eOggt5AMx6moizYHL+5/vLi/OVEDjtEXzqdNv4EdxXrg6D7dH8sDWHm6wpm+UGyI8mc0uVdw1QqZcaA10qynDMMDxwDShJL7EloOKLhcKh+v28Zxxg2/mXv2D+Uti8a1263TegXVUoQzxz8brc7MycOr3fjpMvyMRg1XJr5gnX+Eq1fQ/++80mWIA+vyLiYzVngGRYZZKRDdXgFmslkzKDixrK2YRjaevjE23l3kjlxHri07uWC33llxv6xfswNJIZ8fWb3jQWF95FkvEcmk3kl7PScCTk8hGRJX/eRJyYGcUcUB2EHFfnF4/4YrqW/qpJMJi1bdtEBAsFV8FFFlO48V4UQMlAcWC2UkxdaiHlcMSxRoVAwZc3feJ6BuYEezs7O7C7aohGb3/iN39A3v/lNvfPOOyaoWG3yx1gzrq/A6ZE1L8lIdu8eI2ysD0IKeoSzwy30yXUYKn9JFFRMxGbR/YxGo6pUKpYEyh6QY+QPKHvMazAKWHKPithPvrj/xo0E+CLmzb74Uh/eO+DcYJS5g8j1peuGv/dJQqSnF0iN4Wyxz577JVub8+RpGPbBUw9e7n3aBPvI77wrzHvMo8Sr9vLacrhMHr8ZlMDE5xeb4V0KhJdFIVTpJyzJDqvPPkVJAanJ6fBWmigVBxbybtHDCmr5NH8aforNRbn4ubERKBNcAQSaTfY8A+vK3wdBYAQ6QsSc/EHBEnU6nRn3ZpHRbDZVrVb1Uz/1U9rb2zMlxLyJcoGMMA6RSETZbHaGg2G/sZ7sJS4F8gPqxHp6lwOD5N0LXFjIbyozSFqoPhY5RXt7e7Z/84fHu2t8tndpeGbkzrso7CFzYS2QWX9lZR5x+EPq957cM0Ltiw7WiRA7sgF6hgtkoHjOzs5Uq9V0enoqSeYyI6dk0fs99DwuMtLpdCxw8Wn391hXDK030FfN80qlNBwOlUqlPgFNeWMOiYecfDiCQIgSBeKFAijP4JCwANw5I/sbhYNw4etiaaTL2kPUXVpkeIHxcB0LzuYwP4SMDfQEP4obRQ0q8ByCJHMH4/G4pVcwd5S2j8oQhibsXqvVZkp0LDLG47GePXum+/fvz5R4gQfzQoQAMh+eWZIRwD6aiBuA9eZ1fl6TyWSGMJUuy2Gwh949AC15RXjd4ICnUim1Wi29ePHCvvf/YtlBpETqiCyDeCHO4X14Xs9ZsQdhGNpVGw4z64hMsMbMmXnO1xFbdPR6PUmXcsYeecXn6Y9+v692u639/X3LuvapLZ4G8Ski5GqBfFmD1dVVS9r0JYlwT30dNE+DXJXYfKVSokgbD4eAejJMukRU3qWSLpQaYcNer2cKifIRhPbxfSFPSf+H7MRNBB35qAyLyHWJTqdjiZeLKiUEiGswHELvkvgDy4LDCSAAWHdej7uGokFZA5/haLAk/A2C5a2OdHnTu9vtqlKpWCRn0YgNOSr7+/sqlUrG+zFvj4ARPl96gsgkOWHcOAcpYqg8ee/3ad6lwTAxT0hQf6iRAdDidcO7LFTYhHLwN+D956M4e72e9vf37ZoTJD05bMhzLBYzflO6RNqSZtJgptOpKTJ/PpAdgkMoAPZokdHr9ewyerfbnYnUemPD3oJOuKPIfT6eGRSFbFJiJxqN2pmq1+v2+iAILFschMtVGQwQqJfrKURUfXmiTxvXEt08IJaVQ4CgYgk4qGdnZ4rFYnYZt9ls2iSAd7w3m+QjaiwyMPr4+NhcCTaOReYge63sKwAumhLA82GtOFh+eAuHQuE2OS5OoVCYgbAoW0kzCps180XfIM35e78+oCwOKJeGgeuLXqcB5rfbbUvqY78QGM8HDQYXbX8oqdLv95XJZEz5sl/etcF4dbtdtVotu70ej8ct8RMr6/NZJJnyYX0xZrQiWuTAcr1kPi2BdBOSXL3hob7T8fGxGo2G1fE6OzuzpF+ujXgOE7TI+vPMJGp6Y87680ygU8L5KLxFDQwuLcqP84JM8P6eF8N4Ly1dVF/g0rDnuFZWVoyPY0+5j0oACn4uHo9b4iUBAumyhRPPwZqgS9rt9pVn89o8JYSV/Adgqydx/YcjPNzA5pJiOp02OM4kOLC+vAcEK4JUq9V0fHxsgs9nkc/jLQyKCZdxUaTEIQXienfIh299iRZfzqTdblsp01QqZchO0ozwe4XnCeVOp2ORNrgWYC6fy9y5eY/beF141Y9Op6NisWi3vLe3t2cyjXFJQUntdtvQDuuA4HEZGEvsIy7e1W00Gramk8nEIne4yRDEPlmW+ZNEKl26A9cN1qnb7VomMc8C2vJpFd7I4IJ4l1nSjKLG6hOt5bNARBxWzkar1fpE3prnmjD8GNJFR6/Xs8PPfpHDx/xwt3yemc8JrFQq+t73vmeKCUKaci0YHYwX545oKcm1rCN7Nn9WUdZE4a5LY7nWfSOcS0kSDgLkGJPlg0ky5BoFf0d2LkqO/BQfcUGheUJxZWXFUE+1WlW/31er1bLMaW9lKeXqLyYuMtg8+B3cLU9GeneNvCkiENIni6gHQWBICsvMgSPLeDqdmuKGX4BQBvX5xDc2tVqtWticv1tkeEWIu8vPcGV8MhyfA+npUxDG47GVBiEQwHovLy9bljDBCt6PGtyglslkYmgNhY9wI2vSZU3w6wacDmQuaSkYFlAO+Vc+j2dlZcVIW1yaYrFoGeu4cyhYn87A3H0ELgxDk/n5IMr8PTq8AxI8rxusFS48IXvPXfprNXCxPgJ89+5dNRoNU9ikCnQ6nRljABomL9BHijH8fCZEvkf3GGT21O/rp40rd7lSqRjJR6Fv3tRzASAcrmOwuUSTsKa4Zlw+BV2hyUkgQ1AJO3PhELLRKwgE7vz83Cpj4u4teljPz8+tVAib8Wn/4o9zQXE8Hlthskjk4mZ8o9Ew1waFQgQPd8iX0p1OpyYMPhoJ6oPsRgCo+USEhPVdZPh60EB+DqUPubP+ZOuTinBwcKDpdKpCoaB2u23KBUsNb0giaLFYtPIuXGym/tVkMpn5WxAahs3n9oA8F3FtuDyNwidQgtLBRQE1+Nwzgjr9ft9K0qBgkQ/kFbfGpwCUy+WZXC/psjkA/5c0w5+xD7g3i/Bm7JHnLslb4qyxl/wfQ8nnU/jurbfeUj6ft3pZkO4+Axx0z4Vy3DZ/tnlfviDXfZ6dDw58ZqWE/8dDEEUglMuAVacWsicWl5aW1Gg01Gg0TEhYnJWVi0qGmUxmJvfm4ODADqUkg5tsLBGET/PLPfxfdIN9NrrPD+J3zA+FxKGjdhOWo9vtan9/X2EYqlAoKJ/P21USDm2z2VStVjPuwvMBhFj9OvM8IAgqc3rXbdHMdV+iFZeFMDaulIf+IDWqZD569MgK9lGovlgsWngY9La0dNFMgbt6WNhoNKq9vT2rVgqaxhDBsyHwCLY3atcNFAVz7PV6arVaFini0Pi8M6KEuB1EQ33VSPgkjJ50ecufSqq4U4x53tSjaWTC7+10Ol24LRiHnDUCzfg7pSgUn93t6QjmSMlgugThYiGLnGWPVL1i9ZfzfToMXgcIfD6S/apxbUpAq9X6RLIZD4HgeL+cpC14onQ6rclkomq1al0qguCihhBCSRPCwWCgg4MD7e3tmcuXz+dnbjl72I11IZrCM/jfLTJarZa5o5CXnkMhJwiUN5lM7KBxVw/egbIep6endn+P98YatVotI8dBB3yPuwTUBiUROTs9PZ2BwQjBIqPRaGhtbe0TKRQ+UuMhN88ynU51cnKi58+f2yFvNpva2Niw6p8Qv/l83soDDwYDVSoVc4mow0RXmm63a7WvGT5x0hO35K9dN3BJMVR0XPGHmH9JGAXNSpq5cwg/xmFE3kFd/hI1Sg2l7pWUv1blQ/U+Egdfuehe+oRGFA/XkVhnQAEuolcMzI2zxXw4S7jfHj2DWH2kTroAJURkfRkW1grZgFv8gZQSSXoIDW8GnGMCntXHZfMkWywWM66E+tSUwEUDs4Ek1hHK9Uw+cJfNxIX01wLYZN5rkeGVmXR5YRNOpNPpmNDgioGCyKFiPYrFogaDgSEhDgmIiCstPgTPZ7Fm+OTwUPwdlT+xvCCIRSM2XolzUHBJOaySzL3GLSHaR1VM6SIMns/nLapGaRVKaeDyQL7iAsJB8HNcbfbBp3zgmkuLE92sFTcAQF4eDbIGpD74VBDywQgosM7wQqQIoJjgcjgH0iV57oMc/D37wPvOy+GiMosBlS7zpAiWkMfnPx+FgrxwTWZeMS0tLVlKw2AwUK1WM5RbqVQM9YzHY8sTBPFRJYKzQAoPss35YZ9fNa5USiwkkJIPQoBBCPA83OGi2qTXpLFYzFwaFBJcir9DtrKyYnfQpMvDyuuYFBwIZUA9OgJiL8q14DoSXcAF5LNJyIQkpE5OLpczsp2NyOfzBqlPTk4sh8Rn2hIuxsJJshwr+BDyeYh8jEYjq5iANfbKZZFBPs1wOLQb+/F4XJVKZYYDGwwGVmGQ15IO4DnApaUlq3/kS790u12dnp4a5zedTlWr1czd5mKs9MnLqSgOsoZ90GGRKGMYhsaFkdyJEvBulHdjveJDtnzkGWPHe5P64Ot3QdSDlkCdDJ+kybMwJ/jPSCRidduvG96dhePFaHN2kCPmCUVxfn7R3qtSqZg3A1eEy0pmPF6EBwH+Xhu0hnSRjuEBCZ/rA2DM+6qxUEoAHIZ0CRdRTD6DdzKZqNVqmbYdDAYWagfab21t2c3/5eVlc2n8nTCUHwgKLgZtjs/KM4KmcCU4RIuOlZUVE0TIUJ9bgUBiEakQkM/nzTWQZImhhI4ReLgHclY8CgG6w0lJMsWEYHGYKIuL+4EQLoqU+Czgda/XU6lUUrVaNSSHQsZ9AXlS05tkw1wup42NDZVKJYsKIiuUQOFQoHyB+bw3qIYLpAirR3+g8kXzzvz7+CAMaAi58dnjRGp9VBVFwaGia2+v19PJyYk1cqDLDMrFrzV7j2yQcsEacHDhdwiELDJ8bpFfU++Ce/mDhsCzIMEYNM5znZycWDoAtbgzmYz1VKR5AEGlk5MTZbNZPXz4cOZyuTRbxYL8Mx81ftW4UimRVOcv5GJ9sPSEWNGcnqzlgEPuDYcXBedv3bpllSkRhmg0asXRsCj4wMPh0EpuUL8ol8sZUiAcTafSdrs9k1O1yKBJgg9n+iRGIjTATu8vs9goTBL0KCjvr0swN5/L4Q8w60WSGogU94058R7+cF03ILW5qNrr9exZz87OzF0ix4w8G9wauqpQWRMX6eDgwNAcTQ7I2sfIMNdWq6VWq2VWFONDbg8cjucoWJtF9pPP8kZLklU2JYTPwYhEImq32zo4OLAuOnCa9I0LgsC4uPF4rFqtpsePHyuVSlllVZAG7g21tsinw0XynI6kGaRbr9cX6tgizWZt+7UkIOUDQFx3CcPQuF0MYaFQUL/ft8hstVo1lP7s2TOLnGL8AApUjA2Ci358ICy4YI98cd2Yr/QDRN8oKA7ZzVhaWlKxWLSIRhAE1rzxxYsX1mwQ98aThiwgDwj6gQhGCNGuKANCx9Ty5veEaXF//EXVRf1zn4kK3AWtEeIm/4gOp9JFygREJ5DeR3CwniSOEUny68CmEf735DXkZDQatXwmDpx3b7+fzHWMgXdFSqWSXrx4YTlH5CNBrkuzV0UwTN4SewVNuyQqDHhkRFkRfzUDVMI8PInvM6YXIYHnFTTcFRVNeU8fSVpevqiseH5+WeGTA488ev6PrjUoNbKxKc8RjUY/gSzZc6gGr2iJUJN2s+hegrTJScJIUykDqsVzaNSOr1QqhmzDMLQrJKSAkKt1dnam09NTjcdjMzigdNJ+aD3ljTZ76K+UcBb4nFeNK5US/b+wYD6UjLLwmxWPx602tXelfCQJLoS/w6LxM8pBoF3DMLTOq+SbkOPk+Rr6UtFmm15Yiww4L6+UfIhYktXt7vcv+qE9e/bMoiwgAipPIsSQjRxOXBCgPS4juTOsAaiBKOdweNFsEOuGkpYuc04WGShFIoDSRXfge/fuqVaraTqdGnFNy5zpdKpKpWKdZkgPaDQaVg8Jsr/X61ljBCJsyAFKG2RBoTiir+wje4FL5NHg95PxjEzCgUUiEdXrdUN3vmLAvXv3dO/ePUtrAGnjrpObtbq6avLl23gR5SN/DbTLl1dK7L/Pwzo/v+goDOpfZGDEMBBEuZEt6TIFBNeMdtm3b9+2DjO4phh6PINkMqnbt2+bsUDh4I5jtOHTSCrFy5i/iItRwoh+ZqTEQTw5ObGFoHg8SVbdbtegHEXfiL4cHR1Z7hKkOdEn6bLyIVZpZWXFqhuCTuAucC2YKOTadDpVo9FQpVJRvV6fySxlc64baH8ULZuAa7qysmIdeCWpWCzqxYsXqlQqVti+UChYfSMEA5cO64Mlq1arF4v/kptZW1sz5ACBSi5MGIY6Pj7Ws2fPjNvzd+Sk6/M+/Dw5GBzA7373u8rn84YIV1ZWtL6+bnty//59tVot/c7v/I7JAQIGpO/1enb7HqRBKgHEKBZ1e3tb29vbdhCIzkL+TqdTc5v4OQp4EdfGGzn2AnR7fn5RZLBUKhlZH49ftHdfW1uzMs8vXrzQ8fGxIVWujiAfEPXwjii4ZDKpTCZjPJOkmesn8FNcg/LuIN2JFx1czyHIgLIIw9B4QdARiMnLCTXkSXiF5MYgSprZEx9t8+8FTcNrMcooIoIjrVbLIq0+4fLTxpVKaWdnxywdGg9hA/UQ9iUUHASBhYsREMhVBIxb1h4KTiYTc/tIuKOTK7lKPqyIgLTbbZ2cnFiHVyAjv19kDAYDi4LhN+PCAdPJtYFr2NzcNLIPHx3XCKXc6XRmKvNhaUBSpVLJmv8RWSRMTrJep9PRo0ePrJElm+4t16Lz9NErEMDjx4+VTCa1s7NjJGmhUNDy8rK5Y6VSSVtbW3r27JlZO1ArrsHy8rIpNxDl2tqa8UWlUslCyyh+HymqVqsWmQRBMVdQEsr8qsH7EbHzEZ/xeGwdiFmDIAhUqVTMKEoypYVBDcPQ3B1J5v5S9oPMdknGL6FQK5WKpZSQiArvKsnaoEsXimLRiHEsFtPOzo7S6bQ6nY7W19eNqEb5kpTrU2skzUQdiZ77O6egSZ/s6BEegRhSR6BKSN4koIK8rq2tWeL0Iqj+2maU3CQ+PDy0CUECs7iQ2NReIT0A9ATMx89dWlpSu922DWBBcIewIljker1uVgRliDLzDQy8QkLoFhlkEEOu+igJPIsv2RqNRs2fJjJ1dnZm8J1NGQ6H1heOXu7RaFRbW1uSZG6Sz1XC0uHKfPzxx3r+/LnBZB+O9W7nIoNrFFh93I7vfve75p54dEB6ByH6Bw8emPvOxVWuvKC06eWHYvOumHSZo+NdeVwbSTMuHeQtXWWJTl43SNkg6x+ZJUrIHvqSrLQRByHn83nl83lDXCBMkB8KVLqs9c3hBNHBqxGJRSnhllMOpFar2fstGjV+4403tLu7a52ZI5GLa06dTsfQDvlncIG4ez5i7tNsqKzgUTAcojTrUfiggy8tRHY/58cbOjwGT4t82rhSKeXzee3u7ur4+Nj6SEFKAtsRLCILo9HI3ACsFcJEA0pu1KOtgbSQkSymXwTpkjzzio2b7J5Y9beyFxkgMFwKHx1DkXrlwcGF/2HQkZSIJZCdQwtKWllZMR7Kl5aF9GZN9vf39e6779qcSEcAQfis3EUGhfuJiqLInz59qnv37unhw4eaTqdGCPuQLgmAvmQJ6NjfB8OtwD2Ax+I1RDJ9kiT7jPtDQiKKhDyXRVAE9yRxJVBIvB/ulI/4TadTy8sBsSNnRNBAeygeDjE5UaAThqc4oC+QcWSZwAWDdVpk/MzP/IyKxaK++93vqlwu6/nz53r69Km50KQzsMc+/w0FyxxJU/H36TDC/rz56DReBMYEmWCffDE/QAX1/LnV8apxpVKCX9ja2tLTp0/t1jh3hVhIBN1vss8f4gb0/v6+ISauongCnOJaEIMcAF+TCOKQaAfp8PBQtA9fFD1IMr8aawUM5dDTJ4sUBQ4KURyPKOAwsB5eMbL5uKc+yY1cGiJ1p6enev/9902he6HA9QJWL3rx2CMS/s/hPDo60tramtUNIkCBYgXBkaGOYgZ19Pt9I72z2axdNcH99RFD7r15OI8iI4KJm+hdi0XG5uamgiBQtVqdMWjsqUcEJFh6BU9qCIoGFE7ejs9dki5dIRAO+WgodRAtEWKMOrTH5uamMpmMKaxF7vdJ0te+9jX1ej3dvXvXFCDlWlDy0uW1HVIEiNphIHzQyff889e5UO4oKAwncsgaYzwwTuwZiCmbzapcLlsQ5FXj2g65kUhE6+vrKpfLFkFCE0ejUbv1HovF7GIiuTk+Qges5bAC6yVZejwoAkQAEsFFYfJYM6wU+RmgNN+gYJHhc5FQHBCh0mWLHqwL0UEEc/7SLuvkiVCiT9xPwgWAG4LA577Yxx9/rNPTU0NtWDEOkkeoixL6zIXQPIqR6OXJyYnW1tZMyL1l9VnWlIZh3SBMfSueIAisqzEy4RUCqRv8HRE8DhORRr7gR64bWHyMlVfiGBoinwQTyMr38ocSxlD60Pt0OrXIJAqA/fQI2a8dBgeF22g0FASByuWyocYnT/7/7Z1LbKNZdt//JPXkm5REqfSq6qqa6Vd1T0/H07BhDAIjD8OIbXjjIPA6QYAgcBZZeJdFFgEMeOUgQdZBYCBZZBHAE9iwDSTAoDFoY6a7BuluV6keXSpJlPgmRerBx5cF+3d4yKkiv2pPV/e4dQFBVRJFfvfe8/if/zn33IeharEk2UFaOkf48J5Ei38+5BuZZh7sDTIOCue7706JDPgaQKIHOFWfaPJZv5OTEy0uLiqTyWh1dXVqKD6zTmlhYXiZ4NbWlvE7CDU8DEIGBM7lcmPxN8aCbnd4SFK8ZOH8YV7vNSUZoepT2lhsX6YvjY6tvEhVN4QfxCWeH6HyvAhK6xUTjwiZCBcB8Q2qkUb3hPnKZbxMrVbTJ598ouPjY0ssELbgubyCkTgIM/D+vC9pXJ6bokkEttlsWhU24Xk0OmzxQdZUkhVLxmIx44P8wVBCB+Sk0WioWq1azVYymbT0P6hZGjX/88Z71lhYWLAuDIQdOKhkMjmGSpgv9wZKsiJeacQVEQ0QAfhiRc9DgrbZZ4/0/M0hIOlMJqOtrS3jltbX1y3DOWskk0kdHR3ZZQNkFUFyICKe1Yf4oCb0zqMrfs7wJS6eO2u1WoaifMsTj0I5igW4uLi4UCKR0O7uro6Ojp47t6lGiQXPZrPa2dmxn9ETxz88JeekWBFcrC+KTPoeT0N8D8/ir+SWNMa3YPn9nWcICWQfxDMFXWEGBxG98A0GAysC9HVZcCeURkgyyAqByXNKoyuhfEbPZ/VAAZeXl6pUKrp3756FyYRseFyMkiRTAH4XZoB+2C/W3We6Tk5OTJBYa+QAkt3XxYBgCbkpmqXAkPNSIKxms2l9p1qtliUCvMclnc26DAbDnlOVSiXUHJEvb0CpcgaZFYtF1et1VatVpdNpQ7DMAccIKkTRcYCc1ZysQ/J1fJSrNBoNy8DhwKgZ2t7eVq1Ws9dvb2+H2ster2fte6Ec4C05x0nNX7/fV71et73q9/s2Zy+n6CkyLGnM8eCgKYLk3+wTBonsLGtTKBTsWSgsvXXr1nPnNvOG3Hg8bo3MQEaPHj2yczQ+k1Kr1cY2l5QpQs3JekrbGTz8JGGOQoK02PTJox9sCJvNjbVhuRYguzSCqUEQWJsNyFv/OrwjqWQyjIRwHjnhrRFiz1lRVVssFnX//n1L6WLwWF+MBAQ+TiFsd01JY8aeueIt4UV8+2KQD4g0Ho+bkfa35HI+zRtz0AZpdVDS4eHhWFocp8NhZF9chxEFIYVBvhwVIb3darWUTqdVKBQUBIFOTk4MxVUqFbtzDxn0fB9Rgg/BiAB4dpSV8M4j32azqWq1qnK5/DMOFNJc0ljhbdgMI6U65+fnKhQKFsqBSFhDf6wDzhS+yB+sxhghnz4rh5Plffmi+BeCGz2hQh4uaXV1VZK0v7+vra0tXVxc6LXXXnvu3KYaJR6cRSQGjcVievTokRU6gjIuLi705MkT40euX79u7Uj5Wxp/Af+k0Q28hDjwMRRLYpCkUSsKFtk3cacns+eqwoxJHqvZbBpvxfPFYjHl83kLefwZHz6T9r40usebEIMj1CAOQtHDw0PdvXtXJycnFrp4XoIwDRjt651mVcf6geHE+MOFed6HNUPBCoWCGT9KJ0he+BolFIx5ElYgFxDG9Bfv9/tjR5QIB+E/cD4eTYdBhBzGvri4sHbM0tDIlstl6y6RTqfVaDR0dHSkfD5v6Ab0l8vlzMAS4vgMlS81oCQGDub8fNjwsFgsqlqtmjwMBgOtra3p2rVrSqVSqtVqqlarhlKSyaTW19dD7SUHhznPmM1mrZYN+YcX83ICDYFD8iGyzx6yH6AhX0g5WaDMa/ylDAAa1ohyIUpsplXnz0RK8BdcxUPtze7urqLRqJ2H8RWre3t7RoBvbGxYNS+W3CMeL3AsXKPRGONpgMwIG/U+/uChNDQe/qxVWK4FIp3F5+9QKgwC6wHXhTL7IjO8DF7Fk44+w8Y8Dg4OdPfuXWs1i3EENqPAGCaPoJhz2II7jCnPB2LwmUfCNNaD81JPnz61c2ReyD0ZCglP32jClV6vZ8cwcCjUemH8UXqEFllibqzLrMEzcQOPV1KQAWFrMplUu9225nXtdtsMNc+EE/X9iUB3ICRf0kKm+eTkxI7j0EpnY2ND29vb2tzcNF6VENmHjWEGSSNp1E8Jp4Lj8aGXLzlZWFiwsJz1nkTyyCx6Ko0nhNBJUBTICDvA3pMJp00x/NL+/v5z5zbVKFUqFatghrTOZrOmIAgOdS08aLfb1WeffaazszOVSiVrAubDKl5PRsIvnkcX8DAoMYqRzWbN2lIER+zPooZFEB6G+zos7xEItc7Pz7W2tjZ22BJCkY2URo34eX8fknS7XbsAYG9vT/v7+3YYmb/zKBKjDVLifVgbKnBnjY2NjTHux9eR0XcIYwXvQBjmEweEpHBehBxkZ3waHM7BH/I9Pz+3m0B8T/V8Pm9chK+RmjxhP20QSsNt+C4I0AhwXSCzy8tLHR4eGindbretgR91UxhvaYTAMbjQCyB8f+yJos+VlRVtb2/bkaLDw0NDLNTc+cscZw24umw2a2QzuuprkNhXDAn7AffkjZgvKGVvfbjqM25ENtTbITPUzZXLZSWTSd2+fVv9/rDtDnszq6h5qlE6PDzUxcWFNjc3zcMhpMSwvr8w2ZOlpSW1220dHh7arRKcCcJasiG+DgdvhNVHcUhZY6Up5fcL6z12r9f7mZ7C0wYl8jwDaACUxnvzWRhkGswxPNHpFZTveGPqqUqlkp4+fWrHa3hm7634OYruSxJAPmG96+rqqs2NAjmfRIBclmQHc3lubySZD+HUZBiJ0vpQjJDeH6HxtWCE4RDUkixr6bNoswb1bewfRz4wbhzs5jmhDOC4qH2jiyLhm++HNIkqkCGcDWfZ6JyRTCa1ubmp9fV1O47S6XRUKBTss+FlXoRy8Kf+kXmyquwLe0LyAOTJfiJXkyHcJNlNRINhJktJIsEncXzBK2cqa7Wa7QXr/tyBh/8yvyT9N0lHkpqS7kn655///A1Jfy2p9vnXX0h642U809U8f/7znHjNv5MUSPqHX/XzXs3zi81R0j+V9ImklqSPJf3OS3mmlzTxNyUtfv7v1yQVJf09SVlJNyRFJMUk/b6ku1/1Rl3N84vN0/3+lqSfSjr8RVXWb8o8p8jslqRLSb/xudz+E0kdSYUv+5nCnVj9W44gCP5fEAQc6gk+/7oVBEE9CILHwXBFIpL6km6/jGf6MsY3fZ7uJf9J0h9oKNS/sOObMM8pc9yWVA+C4H8Hw/Gnktoan/+XMl6KUZKkSCTynyORSEfSpxrCxR+439UlnUv6j5L+w8t6pi9jfNPnGYlEflfSRRAEP5j2978o45swz+fM8a8lfRKJRH47EonEIpHI70i6kHT3y36el2aUgiD4V5JSkr4v6X9qOEF+l5WUkfSvJf3kZT3TlzG+yfOMRCIpDY3tv/kqn+3nOb4J83zWHIMg6Ev6r5L+REMZ/hNJ/zIIgvaX/TyRz2PJlzoikch/kfRxEAR/PPHzqKSSpNeDIDh56Q/2cx7ftHlKui6pEQTBv//85481JE7/4it8vJ/b+CbM083xY0n/XdKvS/qxhjzT/5L0G0EQfPhlPsNLQ0oTY07Pjk2jkuIakmx/F8Y3bZ7/QNLvRyKRYiQSKUrakfQ/IpHIH3ylT/fzG9+EeTLHdyT93yAI/joIgkEQBB9I+pGkf/ilP8FLYPcLkv6ZpKSGmadf15Aw+21J/0jSdz//eVrSH2uYyVj6KjMSV/P8wvNckbThvvYl/a6k5Ff93FfzfOE5/n1JZUnvfP7a70qqSPrHX/pzvYSJr0n6P5LqGtZC/FTSv/j8d7+rIbl2qmE486eS3v6qN+tqnl9sns947WP94qbK/87Pc9YcNeQ+9zSsU3oo6d++jOf6Sjilq3E1rsbVeN74qjilq3E1rsbVeOa4MkpX42pcja/VuDJKV+NqXI2v1bgySlfjalyNr9W4MkpX42pcja/VmNpw6Jd/+ZcDSdYPmmZm9Kyh589krx0aidHFj55ENCmjox/9i/yFjv5GEq474gocerXwXkEwbD5FjyKuxKGRf7/f1/vvvz+za9Yrr7wS8Gz0yEkmk9ZA3zd0k0a3gtBB0TeSp6cNHRjpvUOPbRpvcXuLNLqDjdalvC4IRv2Z6PNTrVZ1fHxs10FzS+4HH3wwc55/9Ed/FHChAn2K6KooyfoWsdeTPa78YO35oicT3Tf5on3s5B1sXCThO2v6nuzcDVatVrW3t6ePPvpIxWJRl5eXU+f5h3/4h8HOzo7dpMG+sCfIEfOjtw+N73g+/k1/I/aFZ/SXQ9A8zV/swGuYl+9tTe8l2tlWq1U9ffpUjx8/VrFY1F/91V/N3Mvf+73fC4Ig0OPHj1Wv17W0tKRbt27pe9/7nl555RWtra0pm83aM3NTTr1e1+npqV2SQSM8LnAYDAZaWVlRoVCwvvTMB93j3zR79F/oh5fVBw8e6IMPPrBmeNxS/Omnnz5znlONEh+O0rCBdEicvFeNhmP+Dik6JbKxPLzfVN9e0xsoroL2V7v4v6Ur3vz8vHXHpK82ghBm+MZaNFXjggNa+dJkzF8qiCGhxS/zTaVS9oUy8PdsNM9NA7mzs7OxtruSrBGWv3+Nz+FSwDDXDjFoVoaB9XtK10B/RTNKhXPwHUL5/aRBYQ15ft+xkN97pceQYYSlUddOjIW/FXjWoBEb++oNKu/vf85nWI2MawXrn/FZz+87o3qDNTm8Mfbr49cIZx52cP8ilzv6pmzsK3JHi2cuyqRtL6BhaWnJdM23RfadYid7k/tW1cyR5n3+KwgC6/5ZKpWsU+e0uc68OIDNY8Pw+t7b0o2PLoUoCv1/fUdFf1uC9yosYhAEdu0Pd8Cx4HR89ELG3/L53GqCJX+RQUfLZDKpXC6ntbU1ZTKZMUTT7/dVKBTGWtSimCCPTCZjt32wBvQS98aA1qR4bvqKo6jeI7P+GG5/a3DYq54n0c+k4vnPZH0xSgi2/503Ot5g+Gf2iJY99B0NPcr2KBn5mTSes4Y3MPzfzxFZnXwdv5+ULebJz/ju5+2Rg+9h7dvl8j60+KVdMB08w7ZuZtDtdWFhQevr6yYDtINmjsifJGWzWa2srFg/cX/LMddsSTL0TJSA02W/mC/tjpk7qH4SSdKlslqtjvX8ft6YaZTo/0x7V9qJYmjYCH/VEm1xWThu2vXtNvHYHn2hdPT99Y3iPZz2fbBpD8ttCizI+fl56NaifH42m9XGxobm5+etp7hHaxgXb2gnkZ+fI4KPQSY0YW3piQ0MRgkm32/yvUByJycn1kM8zMBzsq6TBgNDKY3apeLxUC6/ZvTN9gbIOx6vpM8yUAi0n6M0Unr+zzOE2c/nNb/3ysqFEx654Ng8RcHr2Tv/TB45oKzsBYaHf6MTvlUsIarfP5xGmPHo0SOtr6+brHjjwd7isDBM3qFxQSjrzed7VI9T4Lu/PAMHytriXIMgsNuJ2Q8uqGAdZo2ZN+SurKzYnW7Ly8va2NhQJpP5mTCDTcvlchar+ruwmDCGyH+XZP/398ZNTgCh9+gML35xcWEWORaLWSP3MCMaHV5amMlklM1mzUv4zfGbiSeh0TqN5XlGPIe/ngaE55vV+97YHj35WyL8OnjjkUgklM/n1W63Q/WulkZ31bFnXuHg8EC7PDdG16MW9tPzRIxJdDG5zn4v8e782xsR+DVJZtTDhDfsE8iTOfH5PDN7gRwxR3/brTdUvIfv6z251/To9pdXnp2dWdjujTuXc3q09CIhXLVatdBIkiHzs7Mzu76sUqmYzCLPzAlj4blSZMTvsd8zzx+zR9wwxHc4M+YZ+bz/+tramp48eaJWqzXT8E5dgc3NTW1sbBjRXSgUtL29rUQiYUozGe9zfQ83WHCZo1cyhMBfWeNJyEmvxOJgxaXx614wHHA+GNNmsxlqg+PxuHkOUAuLO/lMHk1gkPB2Hu0h/Agi7+FvTvFGAeWYRBYefbAGPFc+n7fbYMOMSe7Gc3GdTseuliZxAImOUU4mk4YWCasZnnviszzHhEHgxg9uvD09PVW/37eQnffyCZJJ0nnawNExJ48S2u22Tk9PbW7sEaEpoTfy4A2VTz5Io7AZZeRWWoySv+UExZy89JQ14jIFfzX8rHF+fm53v3ERAiES68TVTdls1nRkeXlZqVRKmUzGyOx8Pm9rJI2HqYRjfr7cY9doNFSv1+2mH/ScSxr8mqVSKV27dk2NRmPM4TxrTDVKhUJB6XTabkggpMHq+lsQvGHhmpezszPl83kzUkBZDxv9w/F/vCaK6q9l8XHtZAhAiNXtdk1hw4xkMmk3YEAa+swM3xEkzwFxj1a73R5DTX5N/LN7vsEbKK+IhL3+iidQy+Li4thli+l0OjQihEznJhiucuJmXLJBOBPu7uJKHrI0fC6ZPFCAz2rxf3gowhWu7CYLUy6X7X65bDarbDZrmdT5+XlDGv76n2kDw97pdEweg2B0qWmtVlOz2TQkw80zZE4J2bleKZFIKJFImDH2+8U6nZ6eWtbXX9oJGkOxkQ1uG4GDbDQatof8LszAGeHseSYQEpm9R48eGY8bj8eVyWSUz+d148YNu1EFA+XRELefRCIRizzq9br29/dVKpVs7h5cYFhJwnS7XeOr4GkJW583pholrhDCi/kbYTE0PAzC5+NynwXxaMSnSv3dUj72xougoM/jWzB0cC2gKziiMIN7qySN3RYryTaa5yZGZ87cnXZ2dmZ8hg//QBOsCcYHz0omg/Vkzj5257OB+Qgh+xLWu+K5uIyQtSWFy+fDdfFMXKMVBIGePHlihm1jY0MbGxtaXV21pAS8BgrJRZTValXFYlHHx8eqVqvG+eFQCLNIFzebTUOFl5eXlhGaNWKxmDm1TCZjMgJy8Zegdrtdu5cNufN3w62tralQKCifzxvaICrAyIIW6vW62u22/d+T+uwXpS3o0uXl5RjHFfZSUUm2NsioJNMfrjNLJBJqt9t2U2+r1TJDDBfL+nN1uJc3IobBYKBqtarT01OVSiUdHByoWCzatd1LS0vK5/OGvoge2u22jo6OVC6XtbS0pHg8rkKhoJOTky9+Q673gP1+f0w4PcuOgcHTcxeU54w8/yLJ+BQ8lo9VPavveQcu7vPkMRyMvx/d1+CEGXiwIAhMwal1wutPXkTIulAH4zkzn3HjXnqUgzUEKbB5oB/mwXt7g83ngs6o4QprlNgHBBWkO5lFA3H6O+k9sQtnIA1DX39Hms/UdDodVatVHR4e6vj4WLVaTZVKxTiPeDw+xhVxWy7KcHZ2Zt54MBiMlYtMGxh0FInQ4/T0VPV63RwCiAqECHnLvjUaDbvzzic1WINaraZisahyuazT01MzvpVKRZ1Ox/gpUIq/Vt5fAU40kkwm7e7CWcNnDz1BvrKyot3dXeVyOaVSKQVBoJ2dHdVqNZ2cnNjt05FIRGdnZyqXy2NJJwypLzUBEXJfoc+uLywsKJfLaWtrSxsbG1pbW1MsFjPUKElPnz5Vo9Gwex+TyaTd9/hMGZ02cYyKN0ixWMyMCAYJ4SWWBjEA5VB6OAkWkdAN7xUEger1uprNpr0/3gMuh7+H0/DIDM8DzCaVP2ugFHjiZrNpnoTN8kYXIcdQ8Jnz8/PKZDJ26R4GAzQFEkAw2GyMky9mxHtOIi2UB0PpSfZZIxKJ2OefnAy78OLByDBeXFyYkVlZWbHrp3l+T9rCC+VyOavPgs/B0O7v7+vBgwdjyBBEu7m5aWjJZ7CQr/Pzc+O5QMJh9xIj5BE37+uTKYlEQtFodIyc5bWk3DOZjN0uDC8EKjo+PraQlMsn0RNq3XxZAtwdssOz5XI5K0UJOyYTIZS04Biq1epYwSSAwRufRqNh+heNRrWysjKWCb64uLDQlOdeXFxULpcbK+y9d++ejo+PtbW1ZWF4KpXS+vq6JaM6nY7J27QSiKlGiVAETzopPJ5th//w4VS73R7LZOTzeSUSCVM+r+wopveMHkouLi7aRPykMJreQLFJYTMZCE08HjcvgDH1hgG+ijCATcJg8IwYDE/Cw0mh3GRd+I6xZ07n5+cWnuFpQTU+g0S4EWawVigcysmtxxjIIAjUbDaNf5GkTCZjCIDit7m5OcsgQZguLy+bVwXuEyZyAyzrh8HDYfV6vTH+0M8bCmDWYE3gdXzans8GzYBseG0+n7fPBsmTafb8oA/la7WafUHiBkGgw8NDlctl48jgcjDo3AjsEwKxWMxu0J01fLIE8ADyhPs5Ojoyw14sFhWJRHTt2jXdvHnTPk8aOmGcok9mzM3N6fj4WK1WS7VazYw8z59IJHRxcaG9vT0dHBxYouf4+FixWEy7u7smXysrKzo4ONBgMFA2m1U6nX7u3GZqLYqAsqOMrVbLFhuilNdLsni1Xq8rnU5rYWFBpVJJl5eXhgaocyB7QSpVkil7Mpk0ASJjsrq6al53YWHBjqyAVrzChhnMEYTFswHhgfdLS0s6PT1Vq9UyBbl586YODg5MoXk/QjoviJLMU5PJkIYKv7y8rKOjI+3v7yudTuv09FTXrl0zSL+8vKz19XXlcrkx1AqiCjNApqwTGaFaraa9vT3t7e0pnU4rk8no0aNHOj8/19ramm7cuKF33nlH+/v7unv3rhqNhqXCEWgUZHl52RxTrVbT5eWlEomEzs7OlEwmtbGxoWazqcPDQzNe5+fnyufz2tvbU7/f187OjhnK+fl5pdPpsaLZaYPQkwxPNDosqq3X6zo5OdH+/r6q1aoZFGTuzp07evXVV9Xv91Wv1xUEgXK5nIXtcI04JmmYASMxgoIuLS3ZvhWLRT19+lTtdlvLy8t68OCBotGoMpmMtre3lc1mDfnz3i+C7pFTHGoymVQ0GlWr1dLTp091fn6ut99+Wz/5yU90eXmpTCajIAh0584ddbtdHR8fW43RycmJnjx5op2dHa2vr9tzFYtFnZ2d6fLy0pwfkU4ikTC0vLS0pMFgeDrhV3/1V/XjH/9Yd+/e1ZtvvqnFxUVlMhkLx/9WRglDxAKQLYJZh8TLZrNWsyDJ0qkoImlRhDebzapQKFjWCmvuyS/ibRYcowCBzbkvygAQGowZRGKYAV+BEWRQSxKJRJRKpZRMJm09MpmM1tbWtLu7q3Q6bWlSNgYIy/k50IevrwLWkt0hA9VoNJRKpbSxsWHCjSHMZDIWJvX7fS0sLIw987TBGqJorPvDhw+1v7+vbrer3d1dvfnmm1paWtLFxYVSqZS+9a1vWagFwqFADsWQNJaswHAuLS1pZ2dHnU5Hh4eHmpub0/b2tlKplA4ODoz83draUr1e171793RycmLoFI/dbDbHimmfNxKJhIVZqVTK0NDjx49VKpUUjUZ18+ZN5XI5PX36VNJQzre3t7W7u6tWq2XnwNbW1gxFg2YJrT2hzj6D8jY3N7W1taUHDx6oVCpZFrrVaunRo0fqdDo6Ojoy9JdIJLSysqJ8Pv9CR6NwxNTZYURbrZai0ahu376tGzduqFwu6/DwUJubm3r11Vf1+uuvKxqN6rPPPlOtVjPdJvykyJIMMMhodXXVdB6HdXFxYXMfDAZKJpNaXV3Vt7/9bX344Yd6+PChXn/9dSPROfkwrbxjqlEC7VBBDLKZjHvPz8+VzWaNBCf0wogwsfPzcyUSCe3s7Ghra3iRx9LSkoVvhAa+MpVMj0dXGD2Qgkcm/I0/EjFrwJOQ4RkMBlbLkk6njXQGis7NzVnMTB1IJpPR/Py82u22yuXyWHW5f0ZqjNbW1rS5uWl8He9z8+ZNQ43Ly8tGJDcajbFzdOl02sLjsGlkhJfwplQqqdlsanV1Vdvb25aB2d3d1crKihW6pVIpq6UBuZyfn1tpAHP1JDiyQAi6tLQ0Vp8C13J+fm7PdOPGDRNaDHc2m1W/3zdUPmuQ3CCUjEQiqlQqVq2/urpqB1XX19eN1I3H4xbWLi4uWrU0aBxDB1LCoZBmx7iA6LPZrN58800jwOfn59XpdLS2tqZarWacZyKR0Pr6ugqFgpLJpEUcswY6BaeYz+cNfUSjUeVyOa2vryubzep73/uehcjf//73tb29rXq9bsdTCoWC1RjBNUmjIysYHCIUnFEmk1Eul9Nv/dZv6f79+8pkMrpz546k4ZGWra0tQ6PIMfTMtCTUTKQkyUhGiibZSISWTSHr0Wq11Gw2x4oFz8/Ptbq6akQYgnxxcWF1IdIwvl1eXjaeytf5eAIdg4BhQkjgcIIgCJ3JwPtxVg1yE25rkisjQ+bDNTiHdDpt3g4j7ElNX0RJ2OVrWVAKjCNhGhkajDxIIhqNamNjI9Q8MWoUsmEc4/G48WCsN0KDw2i1WnbYORqNWh1PLpez8Bm5YO8oSqSgdXl52RIZKBNhQBAESiaT2t3dHUPJyWTSasDCICWQMrU4qVRK2WxW9XrdUClGPJPJGIFL6QPok8OlhEWEM76I14deyBHlDN1u14oUyYL1+32trq6q1WppMBgeDSFLlk6nQx3BYPhs89LSku0Dzhv+rtfr6dq1a1pfX1cqldLq6qrJ89LSkqHxlZUVQ/jMg8xePB5Xr9ezfaI4kgO+v/Irv6Jvf/vbxm9VKhU79uVrnjBMvV5vKnc21Sh5owCxKY0fpWg2m8aPeG6BDBQCwENy4t7XMBEmZjIZy4bA1nOmBm+FIWLhMBLU+/j6mLBQmFAKoUD5UVbKE6Rx8pxngKyfn583Q8b7+hocYHCn0zHCOZFIaGNjw0oCOBfF3FBaaWTUeD8Q3rT43A8fJsKhYdSp4oYngRhm3t6zA8WXl5ctlY2BJQHiK7IxSmtra5qfn7cwFuSLESLU86cC2E94yVmDjBlONJFIaHV1Vc1m0zJ5HJFgTxKJhKFvDKVHoMjspLz4QkvkMJVKjZV7eB3iuchwZTIZkycyo2ELYSkXkYbFv2tra8rlcorH43bkqtPpqF6v6+zszAojQYNwRBjMwWB4RCyTyYwdSSFEzGQyZphYZ0J4DKR3YHQx8GUfoG6M3/PGzNYlDDy8NCoV4EwLGwzPhFdjI9gcKopRfl5DuEXIhwIQ7qDknkTHayEsGDYEnNRlmIGwI0B8HilovAafi7EB6UGocvoaRWLzLi4uxp4dFIQhpc0JfwfSwDBRgkBSgAwe9VphuwSA6CRZ9ofnSafTphQIrieWUUSyOxh++Ae/bqAVX7MEL7e4uKhsNmt1QqwRc0ceIEUp8yCMmzUmj/QgW1SjY3h96w1PFfgyEEmGCjwdgJzB51E4CsrAwfDeKKx/HhA5skoJRdgjQ+xlv983pASlQLW/Bwq+MBXHBvJBnjCs6Kc/ccGJB7J+/tiJr8WSZIYIA0Zyx5fyTKMcpholhA6PB1ryxy/4cMI6Hs5XsqK8PtUraUwI6fOC8uPRMXSkdXkG3pdFIy3vzzO9SPbNzxfo7tEhSsnc+XyMLkWQQF5vABB65r28vGxGhYpxDD3owxsawlBe41PdPqU8a/jyDklj6whHkEwm7b3JcLIOrC8OhiMGoAyeESVGLnzfHpTR1+5wpAQD7pMVoAFf6jFt8L7IrXdelE9MhpjMkef2tVagUUI0FJpnojgWVJbP500efGU7xtXX52EsQMa+WHjWwMBQTwd/SwErGS/k0aN9ZAE6BGPonaU0qh9E7tk3fxaQ9WO/SIbAQ/nwTRplfqfp5lSjxMJ6T+Lrd1BOfwiT70DjyTDKKzkPi7AQBmGslpeXre0JRgmhYDFQIEmGWlCmsEjJh0QoH8aCYxyec/FGyZ+fIuSRNIYa2GiMHkogyWq+Wq2WJRJ4bubtkZk3jvwsbJiKYPBMKDrEtM8K+gp1CgaZByEmDsobDIQWghvk4ovnvED6TAyOze8tz+rlbNrwVc5exthXEByK5Y0uAwIe3ghlY038v/1JAGTFd4zwiBmZ8UWizJFQOWzTPuqK2B/mztqzh/71kwaG/Wk0GsYx+cp9b1C88caJ4ViRQ3SDv8Wo8RwkeSbXe3LMrFPyE/Hnh9gAj1xQHkI4v/igJw+Xsd4e+vE5IA1vob0R8hvKe3mUNLkp0wYEOZ6TwWLDhwG3WRfS/2QOSRsTFjBn7+F5PzaRMAJF4f+sBevKe3lin1R1WKPU6/UMCfF8Hs4zZ1+b5otfWZ/J9UUmqFxH8THihC7sny8vYW6spzTqBUTYD1ppt9sz54iiMBdf34Q8Qd761/G5oBpvCD0q9evF/DxixyB4SsCjUyrGvQPFKcA1hhl+v3wI1uv1fsYw+SNKPjJZXFxUtVq1glkyjKA5nh3dIIsGgCDpwnvyOt+BMh6PKxaLjXF40vSOD1ONks9oeRTAYvv43ZOwCBml+Exu8r19WIPSITi+KRev4W8QBLyoNDISCBPPFnaDMQQYPB+qSbKFZq7n5+djX4Qg3vjyXt6b+fUBedZqNXU6HePR+J1HLTybD9U8ogszgPoID+vt99CXMfAZ0rO9JWvT7/eN2ORzyIJ6hOXDJB9qg2AwrvzM82oLCwuh5okcYCQxMhgRjJLnI5lzNBq18NGvOzrgjTWGEueLM2Hevs4KPUImvBGBEOcrrCNNJpNGaPu/Pzs7G0N0/nlxMHNzc1bk2m63TUapxeNEgUd3rEmv1zND4422BxY+MTW5ZhjiL4yUECQ8B/Um3pv4kCoSidjPqdbFcnvjgrfAk+FZyQrFYjE7tc5ZHQQOJUGQEGAPlfHWYUsCeH/qcFg4T/h5BAMZTXEmPaO8IGOIQJKQwXgz39aBjJQkQ1x0aOBvMISEdKwhZ8rCDNYIgUCJUFRf1+WzL54bQ7FwGoQ4k4e3J0NB/s4rOJ+JjME1+AJFslEeAU0bHkn7eicMoE/Y8DvkiqycT67AMXkk4DOfKHC73baqbs+9SiPy3fOj3kDhxDAwYca1a9dULBZtPtS2dTqdn4kweBZ/qYUPsaifooUP+4LRIcsGCqKMhzVhbqzpZPKJ+YMI/9bhG0Tu+fn5GAxFABEAEAKV3WysFzwsJYvl+wLhYTzv0mw2xw7wSuNtSP0pdl+wJw3j17D9lPg7lMAT1Xg40BuChLJBzlJhjhIh5JKMCwE9wiGRToVwxMN7peJ3hIQoOAiN2pswg79DSEEVnrfyIaPnTi4vL9VoNCwLiCGEO0Kg5+bmxroY4JBOT08tNY2isy4+BGdg7ECCYUlgUAnV1t5gSrI1niSbUTbS2aA8v8/M2R+HCoLAnBLOJ5vNKpFIGCfqEaD/kjS27zx7mPHuu+/qRz/6ker1ujknvqNLksb4UJ+1RieRBxCSRzcUFPvno0rfN4Xza+TXF/vAfpyenhoImZa0mGqUaKWBsfCcCfUl0Wh0rE8N9SUIPps+aZkpyOJhgZ4gKYQfAfHEJ3zDJOrgebhOJmxYg7JSn+ENniceQVFssPcCjUZDT58+NcGUhgJLmnZ5edme++zszI7eSLJT+dKosRYGyF9lxSbzfEEQWPo17DxZY9bK83XeO3rO5OLiQuVyWcVi0SrbETrfUZG5MweOB1EtfXh4aPtEoSoOxiMpT5pPIplZw/OAODivCD7k9+jIN53zZ7VopUJoCrdF+Ue9XrdjQaenpzo8PFSn07FMJkXBkUhkrJ5v8gsKICzRfefOHR0dHZlz4/nJiBIi+7CTwd51u12rlPcJHR82SyNKA+fk15B1RC89EuRv+/2+RT5QJf7vJ8dUowSCgLRDcHu93ljRG8KDx5FGqeGDgwM74EjNjSQTXs8FsWBeWJvNpsWnvNY33PcGivfgSETYMSm8KA7zRuH4GSQulynE43FtbW1pb29PxWLRPCNFiRS1Efa12+2xVK43BAgFKWTP+eCNfKMuH+KEGZOpZEljn8182Z9Wq6Xj42MdHByo2+3qlVdeseZpkuwoDKE9p/3xmCQk5ubmdHR0ZDdaUNFLvRQCjTEhFPE1UWEUFm8+SaKjaCgQYRInEzgj12w2de3aNduHcrmsy8tLraysGIXBFUWVSsXmlE6nNRgMdHJyYgfMs9ms1Tkhz6CZi4sLQ82UV9BxIcxIJBLa3t7WgwcPzEnRRiQajZq8eQrCc13IAlk39p0w2ZdyeD3DOPusPDrpCX+cp49iWPPBYHpvrJmcEjyLJ0EnMyNMCMjt4/Hl5WX9+Mc/tvNgkUhEhUJBuVzOvKDfkG63q83NTTsGQTgIMcfiY4S8hZbGQ4GwCIIDvXgWn23yvArGkQ1jo7n48NVXX1W5XFa5XLZT6Rx6PTs7M0S0vb2tQqGgbrdrXBKfN8nz+JAZY+c3XFJooxSLxSzM8EqKQfKf1Wq11Gg0dHR0ZB6ZAj3aHfssKtXBsVjMhJ299c3s6Y0EKvBnoAjp/dEPari8UE8bngv0iRK/l8gvyoyRIQQnyUDKHTkjjPQNz4gKWDcSHqAiyko8fwWqQebpskFIHnYvOd+GfHnOBpmFBmA+GGVQEjKE8W42m3Y0inN7g8HA0K40CjlxFt6R8x5QC6w92UY+a9qYmX3z8ac3ABBzQHa4D08iDgYDra2t6Z133tHDhw/Ng5CG5DV4NorQOEyJ10CRQGIIlDeUPhvE+4WFwiAeH3b59CnoyHNMfHnSOBaLqVAoaGVlxZSBMv9oNGrnzHifWq02Ftqy0YRt8DlsLEIdiw37AoXtDsAAmT7rphCPlBDwSqWig4MD4xFQaI9UfehTq9UswdBsNnV8fKyjoyPVarUxKoC2If3+qEspcoOSUuF8eXlp56WmQX4GRoCQvNfrWf0Ncx0MBmo2m/YZ9AmC70LWBoPh0Qsqtn0VfTQatSMsfM7p6ekY/+lb3rB+npT2Df4IbaZxLX7wrJubm8b7oKMkRKRRwa0v3pybmxvrw16v1zU3N6darWbHZoJgeLFrtVpVu902agPn5CvcPVDBsKKj/J79Y/2mjZlIyddSTNZueI/uCVJvzObm5vTKK6/YgT/aKHAokfJ836AdRMXnwIV4Yt1zB/4zWRQUN8zwaWl/9gm+xGdxfBoe48VC46U5fpDJZOwkNh4LlAfc9ZkQb4RQBIZP4ePN4/G4GfcwA2NIilwaeS2ak8HPEbZ1Oh1LFRPOxONxnZycjHlLT34StrVaLVUqFbtiPBoddjaEK4TP4ECvP5dFaIOShR2dTsfCJS+7OB5p1LIFxIPxSSaTury8NOTR7XbHDh373lE8P+iQZ4acx4DT6dPXuWHYfXjqQ58wA/lcXl7WzZs3bR6Enb6dM/LDgOujn3ipVFKxWLQWJP6YTbvdNpRDSxeiEOQQ2SQU9RyvNEL28K+swXPnNm3iPtXsSS+8iS9v9ygJj4AAwEtFIsMGbdFo1DgKSGMWg8lh1Dx35a2/z6ZII97HF4LNssh+bhg13oejE3x52Es9C0ao2+1aUZnPchCD89xsGEJNOMqm+zoaQkMK1HyioN/v27r7A8BhBpCev1leXjaOg6wpCtZut63pG+1KPvnkE0NDdEHwWVVkpNvtqlKpaG9vT9VqVZKsZQ3712g0VCwW1Ww2lU6nx8pM8LS8l5evaQNDwTwxxOzX5eXlWHO5aDRqvFgul1Or1bIGdLHY8ABpvz9sPOfDFvap0+no+PjYHCAG1nOm9AaHP6QWDTSGMWHeYcbZ2ZnW1tbs5hLQymSWsdlsmkxLo6JL/1qu6dra2rIkhg91SWiQWAEp8j6+RoqQFcM8+VxEBtPKdWa2wwUZ+Dh7sg6DBeXD+btnkV8LCwt2Whyhoy8QGQpeBzpBkfnyn8vPmDSejE0JM3yZA4LvC7586t9n/DB+eE1K91FwrhD3KVGEtV6vj2Uu2WDvRTzBjRBgyCjGZPPDDPYM74Zw9Ho9yyIRKhOeYFRRnkajoUqlYmiD/fRNwUBJxWJR+/v7uri4UD6ft7nRMgSl9F1HWUPfPoPXhZmnv6+OgROgA8Lp6anJDLwnBhXlpcXKYDDQ3t6ebt++bWQ3YUqpVNL+/r6Oj4/V6/WM7PdhCzqBgRgMBmOtUNh3X9MUZiCHXAoA2pI0poOeTuE78kVjuCdPnujk5MQO9hKqQpzPzc3p9u3bdp6R+eA8fQYcw4/NwOCiQ8hbo9F4vpxOmziWfjJFy+88z+SLpiaL5qgW9RknUuJkZZiY76Pk6x4g8CYP8nmizhdlvohRkkbZhEnuxhs+ntFfS8wC12o1WxvaMlChjcI2Gg3lcjn7HATFG1r+j+GA5EeY8ELpdHrs8GqYgbD6OrFer2dhVr1eVywWs7YztAthjvwtSARuqN1uGx/HHhB+0XkTWWq1WnYlE06Jv8GhwDP5NZY0ZmieN3ACkUhkLMNDyt1fC+T5NNaVNaI9S7FY1NHRkYrFovL5vDkO0CThMwepCe1BvdAefA5oEOOHonrDH2ZsbGzowYMHhiIn+VC/589K38diw4sNBoOBUqmUCoXCWDkALXUuLi50fHysZrNpxpT39CUWPgnm9cUjaH9qYlq5zkxOyacUMTxeqXgA4lt4IArK8Ki+xiGbzZoizc3NqV6vW0Wvr32BjOTAIGlX4CpfPBcCB08TdmBYff2V7xTApgJpG42Gms2mkaN4P/pn7+zs2Lkiwp9qtarNzU1tb2/r8ePHWlhY0MOHD3VycmKhXqvV0tramm7dumWl/MB5DFK73TYU8aLkqCe4/UFnbuCA4yHBEASBXThJ2L6wsGC8EBcT0vfa1wZhFBYXF7WysjKm8L7+ytfu4Ikh+aVRWD6rtoWBA+MkAO9D+OGLFKmX6vf71qECOQX1zM/P6/Dw0HgXULyvW4IXBZGh2KBAz68mEgkz9vAycC0odZjR6XS0vr6uSqUiacTbTCIm6gIp0uWzQGqRSEQ7OztG6PNsgIdut2tzo1soz4gt8KUcHqAgl/CMPlz9wpwSBVOe5OVD8Wo81MnJicXweGF4B2Ar39PptPW+JsTh58lkUslk0rJyICQfrvgzZt5wcJcUzxWWU8KjefjJZ8H3cH1NIpHQ9evXVSqVVCqVDDrH43HdunVL3W5Xv/RLv6R4PK579+7pzp07Wl5e1gcffKC3335bKysr1ikynU4bJ8CNE5ubm9aXx1fJQox2u13jOXytTZjB/fOxWMwajPV6vbEjA4STKAk1SF6RGo2GvU8ikdDa2pqOj4+NWykUCmZc4Bp8d8pSqaTBYKBKpTKGtMi8giwhp73QzxqXl5eq1WoWJpM1guvjfeHskFd/vMj/HRnT1dVVu0hzaWlJ29vbY6EZMuKb5UmyywSgPFKplF1PhNECpZHFCzM+/PBDvf322yYrOBeU3SN8DDWtZNAZ9vy1116zokv60FOTRwkPa8jveE5CNRAg4AUHRNThL3Sd5USnau1kHYI/+ex/T7YGCA60J24E3tLHmw2gY6In/qrVqhVbEsb5g6pYeLwCIR23rvpsQBhilPkQHvlCO8oO2JBEImEVzaurq7p+/bpVjlOPc3p6qg8//NC4pUqlokgkYtcnl8tltVotS11zLxatSkGcGAeUhdQtaIUjOi9CcqPkKBKKS+apXC5b+IPynp6eKp/P2z1wQRDYtUQ4nZWVFSPk+T/tjvHUoBbQ1fn5sMc3nUv5DPgdn5UC1YTZT5xTo9GwtaPiHK6Evlec64rH48rn86Z0vj4Med7c3LT958YS31eeEIx1JuPKzSrUcWFEmBshOGgx7Pj444+1urpqHSEJgXEcvoJdGjdSrClGgltQJlEkKJyIydMEnlbBILFm3jBJo9DZ1xNOyxjPzL7xx3gaX6uEUSI+pN8w1rZWqxnaIeUPWYx3JPYktADms3FMFBhPTIsRQ7GoeyEkeREozN8R/8JdsICk0IGzID7IPp4hFovZlUgo0d/8zd8YwVwuly07SEmEr4fC+HIEB6OMgW+329rc3BwjDD0/MWucn5+bgkJoS8Ne1SsrKzo6OhpL4+JsqtWqEomEIaBKpWLz7/f7hoo4TgOPVCwWValUdHp6qlqtprm5OQt7Ly4urI0Kfay5E5BwarLSO8w8fYYNxI08kTHG+aBQXLmdy+XGTs/z3JFIxMh5jqEgN3BnHpXwRSaQZ8DhwElREoAxD2t4pSERf/fuXe3u7ioajdo1ZByRwShgJHxpjV8rPw+cPagGJ48BB/EBTjBSGFNvxCb3AkoAnZqG7mdeHEA63xsJDBPQmgwGoRcPSyqZs22grck+TL7thzQqlgSpIEQot7f+p6enunHjhtbX1/XkyZMxDxt2nJ2daWFheP0wc4rFYnYYmbDOC7E0Tkhz/xftUfkCWnsujDATw0Nx28LCghluyFKEBGEulUr2mhdRVkk6OjrS2tra2PoRpmSzWa2urqpardrRg0ajYYcoqXimhQiGMZFIGB8G90fLkEePHtnlEp1Ox26GYS8JHbe2tqzCH2Wm0h0DFbYWq9lsKp/Pj/W79llM0HqpVLL9g7BuNBpGGIPYmSNV36wHhaKVSkUXFxdmVOkaAPckybgajCQV7oR5cJiTRmPaGAwG2t/fN3nA0C8vL1txI7LsQywvt74xYTQaHcu0giY9IsJwES347DSclifWkRvCZe/wvjDRHYuNbmzwSk46XJIpFVbUIykmjaGATOahQV/AQ289MWxAShbAf/bc3PCG1nv37umNN95QKpXST3/6U4uPw2alpGHGjJszfH9wX2/FYOPIpoCQJJnCtlotZTIZK8/3x0d8ChUSF/4OA0foRpFboVDQd77zHf3whz/Uw4cPLQ3vPdOsUavVjKDFUCJghCRBEFjfZebJ3voaG44SQFpTw4IQwxFx+Bph9s3HKKbc2tqyCysJiXhGH5aEQb6NRkP5fN6I+NXVVSsMjUSGVzZh+AjtlpaWDNH7dD4XJbA+lCuUSiUzRAsLCxaOd7tdm9/c3Jz9XSaTscJEyhL8kSn/PUwjO2QQhOOznxg7310D/hHS3d+RCDrjOBmXd/he5v5snDTUWwwOJSa+dAM95piQR2xEOUdHR8+d21SjxCV50WjUCux8dkEa9a9BgIBwvorTpwg9ec1D+vonFAHBYOFQCm+NIX3L5bI++ugjfec739G7776rH/7why9UDnDt2jW7Ry2bzSoajVqI5jfbH14kpJRGjdEn+S7P+XjD4efrw1MMIf3MUf65uTm7WfStt97Sn//5n+vjjz/WnTt3Qvchl2RogGeg3AAvj8KSraHHFVwLAk3XgFqtZmgPpU0mk8az4Kyk0cFdX2TqlZ7P9WemyDD6auxZA4VfWFhQpVIZu64KxE+lPVk2nAUcGjIZjUbH2q9gOLjll7R5qVQaq2r2N6kwT46++CM6zJfjHnwPM0AxHGhGz7gKi1AYp8X74kg5/UCGG8OfyWS0sbFhPCn1V/7GYpwnXDMGxxf3wrP5iEcaoSSyhs8aU43SW2+9pdu3b6ter+vJkyd6+PChNRj31Z5kqeAACCeo9PQpUl+rwOISlrGAeIFJLoDFwPhBoL3++uv68MMP9dFHH+n73/++3nvvPb3//vuhMxkbGxvWhoKL+srlslUrkyZH8Pg5Xz4VC7rE4LCRwGtCCT9HDBIb64vSLi+HJ9TT6bR+9KMfaWNjQ++9955+8IMf6NNPP9Vrr70WOrSBI/LPxkFZDsdyzbhPTvh0szQU7Hw+b+UchOQYDiqmec+5uTkL5f1rMWR4cV+dTglEq9Uaq4ULM8d6va5cLqfz83NVq1WrOYLb5BYeFI79kmTHT/yJfZAPBoqqZp51ZWXFjDDIi77zntiFBwRlNJtNtVotlUol41XDdgnwyRyenTAZ4wY3iu71+30zQsg7haQg18XFRX322WdjPC7cMmUvcMae2PcJJnhj3sODksvLSx0fH0+d21Sj9O6779rDVKvVsUb8xKt4fcITDAaWEUFl0r7fji++miwkxHix4P6oh6+ZefTokba3t3Xz5k19/PHHevjwoe7cuaNisahPP/001AZjYKmdobJ5aWnJMigYVBQKRESdit9E+KjJkgVfnu9RFgLjMxf++Emz2bTjGY8ePdKbb76p9957T3/2Z3+mVCqlGzduhJqnNOqpBDpAeAmtQUak+3lGaVRNTuhGRgmOEGEkzPOKTBM4Hzrw3tQqseegplqtplarpVQqZcZ01gDtYDgI3TwHyrlC0BuIhmQG4XupVFKj0bBmgeypNKocZ0/j8bhdlYX841x8JhVSG84KB0hdXtiaM59dY11Q/FarpbOzszFUD01COAxPBNLFEWEw4U99JnJ+ft6KSLlCHptA4sufUPBHxDC69XpdBwcHU+c2s8kb11QD76iR8bE3cBcP7Ctqfc0Q5Jg3aMTFKCVZKWpIfM0DAswGYLw++eQT/eZv/qY+++wzHRwc6O2339Ybb7yhvb29UBtMStS3j+D5ut1RjyhIQYhxf/QG4eCZfJ0GgkzIRtYO4+wzbZIMXfrsxdnZme7cuaO//Mu/VK/X0+uvv673339fjx8/1u7ubqh5+r5UnngG2iNMhDwYKGlUnMdp/1gsZmfaJvsx+XIOMk4+Q+mL7ghlfC0SRCtKmkgkdHx8HCok9xQBmTRS1jidWGx4ps2fNcSATv57aWnJyl3gATGo7C8JjnQ6bWQxfCRzAm1gDAidjo+P7djQ6elpqKp1aeSkfUkIaLLZbKrRaFj9maQxAJFKpbS+vq719XWTb3hDOEWMC/sC1eIrtkGHoCRplIlDDvhsnNnBwYGdDnju3KZNnDj4/v37lm2gLoL6Er84KCWIAeElHYqn8QVUQRBYawmEFQ/EAoAg/Lk24v1IJGLG59atW/roo49ULpd1/fr1F2rt4SuoqUtCAVFakAXhlucbPJlHNXg8HjdvhaD7sA2FIBuH8ffn5YDakUhEv/Zrv6YPPvhA1WpV7733nr71rW/p7t27oTM2ZEYJ40DBzI+5YVBADTgHSYY0EDgcCmGndyQ+nPHrQzjGXDH2GEuUmEZptJQNQwKDMkHivokcv4eo9Z4c4yLJ7k6jNs0fDkZJMXa9Xm8sWYDi8hzMUZIhSVAIx3tIFLC+YQaf4Q0T69jv91WtVpXL5cauTWI/0Z9UKmVENvPlWdhDyGpKdoIgsCvk/efhwH1mVZLpLQedDw8PxyKjZ42pRimZTGpvb0/3798fQ0SENVhUnynz2TqfikVZMUpsrueafL0Q1hhPyqJTy9Tr9eyIQKPRULVa1fr6unq9nsrlsnZ2drS9vR1qg4MgGMue+dPuHpkR4tAjB8Pr7xGTRkQ2wuNRDzAaxUFoQWCTP2dNotGorl27pu9+97v6yU9+op2dHb3zzjszobAf2WzWiG6PfrluyKeCJVkI549oMC8q3NPp9JihQSZ8WA5qZP1AM4RW3kPDcbAOFDx6Qzht+OQBPCB8nu93BHIDgSNvnsNcXFwcm5+XF1LkHhWjgD697ws1gyCwsgJehzFnrmEJfZ8M4G8wEhDedAjAKPmWtzg8khTIHlGAT9CQGZZGRh3U6wls5sJRHRJTtVrN+DMoj2mIcKpRmp+ft/qTQqFggkJWJR6PW/EYE/DNnzxxDXTFQnoOhfCFvyHtj/Ai3CipbwrGZ1EVDFRvtVoqFAqhNhjU1u+P2t36WJhshSf2ybJMckIQ3fwt6+jnPBgMrIjSH+nA0ONR8WbE791uV9evX9fTp08VBIHeeust3b9/31rLzhrU2wRBYOl60vpkn0AwGGO4IDpE+toWf9IdVEDNFWUOnszH+UBsww0GwfA22nK5bM9JhT4hbjqdDsW38JwegYECPNLy9WhkiQjZPB2BAmF02MNut2slDJOGGE4MbofPCoLAeDKSHvBZHEEJS3RLIwrDc7j8TBoWWMJxsa9QKsgsxsu3vCZCIvvs0S+tTXwSibAWdMw+oYegcvSH9XzemBm+lctlVSoVbW1tSRpdIY3iDgYDO3MD7MfATHoRXj858FSeBPZ1I9TGMDya4v+c0KY9CKnYMKPRaGh9fd2UwB+N8ELiY2pKJFACjwpQNh8aYKQwRHwhVNKoHN8fCIXrIuOHsWWdr127Fjp8Y10IXVhXn4qmNgqjAb+UyWR+plc7Sj0ZtiKcGBRe43kHjFUkElG73VapVLKT6JFIRM1m0zJwKGwYTikej1uWCwUlWQGJyxw8P4LieT6T3yHHkoxaYI5+bmTWzs7O7NA2hgDkxhEdPhPyH+NUq9VC7aXfB54RWcMwUPBJ33RABeQ81EK73Va1WrV5eCME90bW1DtgnsHzSIRzyHej0TAqgzErRJ1JdHNOiTiRuFmS1aVwBgoFBoZ6hfQE+KQgYHB8Bo6J+ffxvAaLVqvVLPbnSIAvdgszer2eKTd1UD4dimdgw/HuZBQwnN4LAW8Jk3yhGv8GgaHghDb0MYLXOjs7s5P2xWLRwop2u61kMmmKNmtks1kdHx9b2Ikn43OZNw6BwjdpiPJ861oE0+8v+zlZ/T+puF6IOUJzdHSkSCSidDptx3TorLmysjJ2KHvagEPyYaHvpkDaHMfikxooGOn8yXS2T9kz34uL0fVaFGXW63Wr9EbJY7GYjo+PrSoemcFgYJjCDp9AkUalNZD5ZEOp1WJfueUWI8N5PjpwYHBBwQsLCzYPBv9mX9FFDONgMLDQ9fLy0spKvNOaFqZONUq0wlxdXTWCNAgCqy2B8OVgLd7SW1ufmfIehzCM/4MwfHGk52j4miysOz091c7OjmKxmHVKlEaxb5ixvr5uyIbP9uek4JGkUU9rzqdJoxQ25CecG7wT8/XIURp5DIzV/Pyw79RkFT3Fg7VazSqWyea8yDzJhLH2cAkgRN9GBG7BI7xCoTDWngZ5wIBB/DJIGBB2++MFCG+n01G9Xler1TIFxTB7h4VczBogeAwta80RCQxbp9Ox15GgwVBMXklPeOnb4SLb7D0Gq91uq1gsGpfk5wkKAr2BhH02N6xhYu9B9mQXCcV9yQeZSAwBMgiC4xpuQAB8GogRaoHw15c8SKMTHjgrDBTdIRYWFlSv180xQZM8b0w1Sv3+qPeRz5b5ByLuxCMScuFRnpW6RNkwMB5KS+NIyy8M7+FrfCjMAxKTLZuEjNMGrVQ8n0AYEYlEzLPCffFcCICvq/IHLPEMHu2xHp74xSOBkPz6UOPEJQP9ft+U2Ge1wozLy0trWQJP41v08owQwnBjfLXbbeXzeQs1MDQ0wCd8Yd+ZI/JAOMPzkpWpVqtmQOC4KHjk/TCCswZyh6KCsDzHhRG/vBxesMl6ZDKZsUwxiEnSWJtXaaSYEOisQavVMuODI8YwSKP+S4TQhLiTWc5Zw2eykRc+j+cDxfhSDoyV/yx+Tv0a+sf+SSOKhPd+XiRBiQHAhGwf6zbtaiVGJExG42pcjatxNV7WCGeWr8bVuBpX4yWNK6N0Na7G1fhajSujdDWuxtX4Wo0ro3Q1rsbV+FqNK6N0Na7G1fhajSujdDWuxtX4Wo3/D8aexGySc9D0AAAAAElFTkSuQmCC\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": 207, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.361601Z", "iopub.status.busy": "2021-10-24T06:30:06.341032Z", "iopub.status.idle": "2021-10-24T06:30:06.739904Z", "shell.execute_reply": "2021-10-24T06:30:06.740337Z" }, "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": 208, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.745353Z", "iopub.status.busy": "2021-10-24T06:30:06.744242Z", "iopub.status.idle": "2021-10-24T06:30:06.757664Z", "shell.execute_reply": "2021-10-24T06:30:06.756322Z" }, "id": "oZ1dqLc9DRof" }, "outputs": [], "source": [ "X_bad_faces_pca = pca.transform(X_bad_faces)" ] }, { "cell_type": "code", "execution_count": 209, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.764523Z", "iopub.status.busy": "2021-10-24T06:30:06.763502Z", "iopub.status.idle": "2021-10-24T06:30:06.779773Z", "shell.execute_reply": "2021-10-24T06:30:06.778755Z" }, "id": "Bu9fZXneDRof", "outputId": "f9551937-0a67-4a2f-fec6-cc367bff53c7" }, "outputs": [ { "data": { "text/plain": [ "array([-2.43643110e+07, -1.89785043e+07, -3.78112108e+07, -4.98187684e+07,\n", " -3.20479093e+07, -1.37531398e+07, -2.92373880e+07, -1.05488971e+08,\n", " -1.19575239e+08, -6.74256356e+07])" ] }, "execution_count": 209, "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": 210, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.787544Z", "iopub.status.busy": "2021-10-24T06:30:06.786300Z", "iopub.status.idle": "2021-10-24T06:30:06.805796Z", "shell.execute_reply": "2021-10-24T06:30:06.804018Z" }, "id": "6FPy86ujDRof", "outputId": "7d682341-72bf-48ec-fa83-7b0401b6779b" }, "outputs": [ { "data": { "text/plain": [ "array([1163.02020913, 1134.03637757, 1156.3213282 , 1170.67602774,\n", " 1141.45404771, 1154.35205046, 1091.3289437 , 1111.4114939 ,\n", " 1096.43048794, 1132.98982592])" ] }, "execution_count": 210, "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": 211, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.815277Z", "iopub.status.busy": "2021-10-24T06:30:06.814219Z", "iopub.status.idle": "2021-10-24T06:30:06.822478Z", "shell.execute_reply": "2021-10-24T06:30:06.821787Z" }, "id": "bIh1SoF8DRog", "outputId": "a98e8041-406d-42dd-b479-c2e805152aa8" }, "outputs": [ { "data": { "text/plain": [ "array([[ 3.78082347e+00, -1.85479248e+00, -5.14403629e+00, ...,\n", " -1.35631904e-01, -2.14083940e-01, 6.11892231e-02],\n", " [ 1.01488562e+01, -1.52754772e+00, -7.66965568e-01, ...,\n", " 1.23926833e-01, -1.35262579e-01, -2.32606847e-02],\n", " [-1.00152912e+01, 2.87729216e+00, -9.19882417e-01, ...,\n", " 7.26157725e-02, -2.96338997e-03, 1.24889754e-01],\n", " ...,\n", " [ 2.47587085e+00, 2.95597053e+00, 1.29985607e+00, ...,\n", " -2.09053084e-02, 3.48560028e-02, -1.54327497e-01],\n", " [-3.22031403e+00, 5.34898043e+00, 1.39426959e+00, ...,\n", " 5.75501136e-02, -2.28312939e-01, 1.55562788e-01],\n", " [-9.22877252e-01, -3.64703059e+00, 2.26088047e+00, ...,\n", " 1.36848077e-01, -6.91322759e-02, 6.26963675e-02]], dtype=float32)" ] }, "execution_count": 211, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train_pca" ] }, { "cell_type": "code", "execution_count": 212, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.830336Z", "iopub.status.busy": "2021-10-24T06:30:06.829314Z", "iopub.status.idle": "2021-10-24T06:30:06.833592Z", "shell.execute_reply": "2021-10-24T06:30:06.834771Z" }, "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": 213, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.840883Z", "iopub.status.busy": "2021-10-24T06:30:06.839084Z", "iopub.status.idle": "2021-10-24T06:30:06.870208Z", "shell.execute_reply": "2021-10-24T06:30:06.871622Z" }, "id": "suH8UlTQDRog", "outputId": "85de12ff-2af6-46a5-e5a6-5a25d271a07b" }, "outputs": [ { "data": { "text/plain": [ "0.0001920535" ] }, "execution_count": 213, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reconstruction_errors(pca, X_train).mean()" ] }, { "cell_type": "code", "execution_count": 214, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.878521Z", "iopub.status.busy": "2021-10-24T06:30:06.876537Z", "iopub.status.idle": "2021-10-24T06:30:06.894484Z", "shell.execute_reply": "2021-10-24T06:30:06.895944Z" }, "id": "fKZOLHPBDRog", "outputId": "3ea6f749-df9e-4f55-cb8a-f919de9f7a93" }, "outputs": [ { "data": { "text/plain": [ "0.004707354" ] }, "execution_count": 214, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reconstruction_errors(pca, X_bad_faces).mean()" ] }, { "cell_type": "code", "execution_count": 215, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:06.902606Z", "iopub.status.busy": "2021-10-24T06:30:06.900454Z", "iopub.status.idle": "2021-10-24T06:30:07.263357Z", "shell.execute_reply": "2021-10-24T06:30:07.263752Z" }, "id": "z_Od-LALDRog", "outputId": "901be062-559a-4e41-c529-1dd73a1db0bd" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_faces(X_bad_faces, y_bad)" ] }, { "cell_type": "code", "execution_count": 216, "metadata": { "execution": { "iopub.execute_input": "2021-10-24T06:30:07.266698Z", "iopub.status.busy": "2021-10-24T06:30:07.266128Z", "iopub.status.idle": "2021-10-24T06:30:07.644352Z", "shell.execute_reply": "2021-10-24T06:30:07.644795Z" }, "id": "jKkMD3R1DRog", "outputId": "7916d9db-4486-445a-9bc1-9fba652f0e2e" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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 (ipykernel)", "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 }