From 6ab41ec20604658a925b15925c07804ef36d06a7 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?F=C3=A9lix=20MARQUET?= <72651575+BreizhHardware@users.noreply.github.com> Date: Wed, 8 Oct 2025 13:50:48 +0200 Subject: [PATCH] Obisidian vault auto-backup: 08-10-2025 13:50:48 on . 2 files edited --- ISEN/IA/CIPA4/TP/TP4/tp4_IA.ipynb | 945 ++++++++++++++++++++++++++++++ ISEN/IA/CIPA4/TP/TP4/tp4_IA.pdf | Bin 0 -> 268226 bytes 2 files changed, 945 insertions(+) create mode 100644 ISEN/IA/CIPA4/TP/TP4/tp4_IA.ipynb create mode 100644 ISEN/IA/CIPA4/TP/TP4/tp4_IA.pdf diff --git a/ISEN/IA/CIPA4/TP/TP4/tp4_IA.ipynb b/ISEN/IA/CIPA4/TP/TP4/tp4_IA.ipynb new file mode 100644 index 0000000..993e2cf --- /dev/null +++ b/ISEN/IA/CIPA4/TP/TP4/tp4_IA.ipynb @@ -0,0 +1,945 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + " # I- Clustering des données synthétiques via K-means" + ], + "metadata": { + "id": "_YVruElAnSR2" + } + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "id": "js4scDNGnN5V" + }, + "outputs": [], + "source": [ + "from sklearn.datasets import make_blobs\n", + "import numpy as np\n", + "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])\n", + "# \"X\" représente les données et \"y\" représente les indices de clusters réels\n", + "X, y = make_blobs(n_samples=2000, centers=blob_centers,\n", + " cluster_std=blob_std, random_state=7)" + ] + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "def plot_clusters(X, y=None, centroids=None):\n", + " plt.scatter(X[:, 0], X[:, 1], c=y, s=1)\n", + " if centroids is not None:\n", + " plt.scatter(centroids[:, 0], centroids[:, 1], marker='X', s=100, c='red')\n", + " plt.xlabel(\"$x_1$\", fontsize=14)\n", + " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", + "plt.figure(figsize=(8, 4))\n", + "plot_clusters(X, y)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 393 + }, + "id": "dQxwUMMgnRFS", + "outputId": "81b05632-c8bf-4d8c-c531-21898d2c09c3" + }, + "execution_count": 32, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.cluster import KMeans\n", + "from sklearn.metrics import normalized_mutual_info_score\n", + "\n", + "# 5. Appliquer la méthode KMeans avec k=5\n", + "kmeans = KMeans(n_clusters=5, random_state=42, n_init=10) # n_init is set to 10 to suppress a warning\n", + "\n", + "# 6. En utilisant la méthode fit_predict, prédisez et affichez les indices des cluster de X.\n", + "y_pred = kmeans.fit_predict(X)\n", + "\n", + "# Afficher les indices des clusters prédits\n", + "print(\"Indices des clusters prédits:\")\n", + "print(y_pred)\n", + "\n", + "# 7. Calculer le NMI\n", + "nmi_score = normalized_mutual_info_score(y, y_pred)\n", + "print(f\"\\nNormalized Mutual Information (NMI) score: {nmi_score}\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "4vZpKR9zngBk", + "outputId": "24b3bfa7-ebbe-4f62-ccbc-36764d466de6" + }, + "execution_count": 33, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Indices des clusters prédits:\n", + "[0 0 4 ... 3 1 0]\n", + "\n", + "Normalized Mutual Information (NMI) score: 0.8412804765645479\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# 8. Intégrer les centroïdes dans la figure\n", + "plot_clusters(X, y, kmeans.cluster_centers_)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 454 + }, + "id": "B7SHReBinu8N", + "outputId": "6fdda5f2-6dbb-4a07-a648-5c1016ec9ae0" + }, + "execution_count": 34, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "#9.\n", + "# a. Créer la nouvelle instance\n", + "X_new = np.array([[-3, 2.5]])\n", + "\n", + "# b. Calculer la distance de X_new aux centroïdes\n", + "distances = kmeans.transform(X_new)\n", + "print(\"Distances de X_new aux centroïdes:\")\n", + "print(distances)\n", + "\n", + "# Trouver l'indice du cluster avec le centroïde le plus proche\n", + "closest_cluster_index = np.argmin(distances)\n", + "print(f\"\\nLe cluster avec le centroïde le plus proche de X_new est le cluster {closest_cluster_index}\")\n", + "\n", + "# c. Prédire l'indice du cluster de X_new\n", + "predicted_cluster = kmeans.predict(X_new)\n", + "print(f\"\\nL'indice du cluster prédit pour X_new est : {predicted_cluster[0]}\")\n", + "\n", + "# Vérifier si l'indice prédit est conforme avec la réponse à la question 9.b\n", + "if predicted_cluster[0] == closest_cluster_index:\n", + " print(\"L'indice du cluster prédit est conforme avec la réponse à la question 9.b.\")\n", + "else:\n", + " print(\"L'indice du cluster prédit n'est pas conforme avec la réponse à la question 9.b.\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WVc8nz6nn_h1", + "outputId": "2ec0d15a-9530-484c-8e3a-8957f9ec5306" + }, + "execution_count": 35, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Distances de X_new aux centroïdes:\n", + "[[0.96879317 3.08818836 1.54672634 0.36159148 3.35573094]]\n", + "\n", + "Le cluster avec le centroïde le plus proche de X_new est le cluster 3\n", + "\n", + "L'indice du cluster prédit pour X_new est : 3\n", + "L'indice du cluster prédit est conforme avec la réponse à la question 9.b.\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# II- Clustering des images faciales via K-means" + ], + "metadata": { + "id": "y0klGUnFoUww" + } + }, + { + "cell_type": "code", + "source": [ + "from sklearn.datasets import fetch_olivetti_faces\n", + "\n", + "# 11. Importer la base de données\n", + "olivetti_faces = fetch_olivetti_faces()\n", + "\n", + "# 12. Afficher la description\n", + "print(\"Description de la base de données:\")\n", + "print(olivetti_faces.DESCR)\n", + "\n", + "# 13. Afficher les indices de cluster (cible)\n", + "print(\"\\nIndices des clusters (target):\")\n", + "print(olivetti_faces.target)\n", + "\n", + "# 14. Afficher les données\n", + "print(\"\\nDonnées (data):\")\n", + "print(olivetti_faces.data)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "NX_kGIrloSfN", + "outputId": "03bd229b-c1e3-4a17-f650-2abaec539f89" + }, + "execution_count": 36, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Description de la base de données:\n", + ".. _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: https://cam-orl.co.uk/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", + "\n", + "Indices des clusters (target):\n", + "[ 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n", + " 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4\n", + " 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7\n", + " 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9\n", + " 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11\n", + " 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14\n", + " 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16\n", + " 16 16 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 19 19\n", + " 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21\n", + " 21 21 21 21 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 23 23 23\n", + " 24 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 26 26 26 26\n", + " 26 26 26 26 26 26 27 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28\n", + " 28 28 29 29 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 31 31\n", + " 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 32 32 32 33 33 33 33 33 33\n", + " 33 33 33 33 34 34 34 34 34 34 34 34 34 34 35 35 35 35 35 35 35 35 35 35\n", + " 36 36 36 36 36 36 36 36 36 36 37 37 37 37 37 37 37 37 37 37 38 38 38 38\n", + " 38 38 38 38 38 38 39 39 39 39 39 39 39 39 39 39]\n", + "\n", + "Données (data):\n", + "[[0.30991736 0.3677686 0.41735536 ... 0.15289256 0.16115703 0.1570248 ]\n", + " [0.45454547 0.47107437 0.5123967 ... 0.15289256 0.15289256 0.15289256]\n", + " [0.3181818 0.40082645 0.49173555 ... 0.14049587 0.14876033 0.15289256]\n", + " ...\n", + " [0.5 0.53305787 0.607438 ... 0.17768595 0.14876033 0.19008264]\n", + " [0.21487603 0.21900827 0.21900827 ... 0.57438016 0.59090906 0.60330576]\n", + " [0.5165289 0.46280992 0.28099173 ... 0.35950413 0.3553719 0.38429752]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.model_selection import train_test_split\n", + "from sklearn.cluster import KMeans\n", + "\n", + "# 15. Diviser la base de données\n", + "X = olivetti_faces.data\n", + "y = olivetti_faces.target\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n", + "X_train, X_val, y_train, y_val = train_test_split(X_train, y_train, test_size=0.25, random_state=42) # 0.25 * 0.8 = 0.2\n", + "\n", + "print(\"Dimensions des ensembles de données après division:\")\n", + "print(f\"X_train: {X_train.shape}\")\n", + "print(f\"X_val: {X_val.shape}\")\n", + "print(f\"X_test: {X_test.shape}\")\n", + "print(f\"y_train: {y_train.shape}\")\n", + "print(f\"y_val: {y_val.shape}\")\n", + "print(f\"y_test: {y_test.shape}\")\n", + "\n", + "# 16. Appliquer KMeans sur les données d'apprentissage avec k=40\n", + "kmeans_faces = KMeans(n_clusters=40, random_state=42, n_init=10)\n", + "kmeans_faces.fit(X_train)\n", + "\n", + "# 17. Prédire les indices de cluster des données de validation\n", + "y_val_pred = kmeans_faces.predict(X_val)\n", + "\n", + "# Afficher les indices des clusters prédits pour la validation\n", + "print(\"\\nIndices des clusters prédits pour l'ensemble de validation:\")\n", + "print(y_val_pred)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "U1hDkDTuob35", + "outputId": "bc12df51-ff76-4197-f6a1-caa087897161" + }, + "execution_count": 37, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Dimensions des ensembles de données après division:\n", + "X_train: (240, 4096)\n", + "X_val: (80, 4096)\n", + "X_test: (80, 4096)\n", + "y_train: (240,)\n", + "y_val: (80,)\n", + "y_test: (80,)\n", + "\n", + "Indices des clusters prédits pour l'ensemble de validation:\n", + "[ 1 8 31 7 15 6 13 20 33 5 15 1 18 36 1 23 7 33 28 38 1 0 4 18\n", + " 8 20 17 35 39 15 17 38 6 24 4 13 5 29 18 7 23 23 4 22 7 19 39 5\n", + " 39 0 20 39 0 5 35 39 6 37 37 12 38 37 12 37 5 16 9 0 39 35 39 39\n", + " 6 18 6 35 20 19 28 7]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.metrics import normalized_mutual_info_score\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 18. Calculez le NMI\n", + "nmi_faces_score = normalized_mutual_info_score(y_val, y_val_pred)\n", + "print(f\"Normalized Mutual Information (NMI) score pour les visages: {nmi_faces_score}\")\n", + "\n", + "# 19. Proposez un code qui appelle la fonction ci-dessous et affiche les images faciales de validation et leurs cluster\n", + "def plot_faces(faces, n_cols=5):\n", + " n_rows = (len(faces) - 1) // n_cols + 1\n", + " plt.figure(figsize=(n_cols, n_rows * 1.1))\n", + " for index in range(0, len(faces)):\n", + " plt.subplot(n_rows, n_cols, index + 1)\n", + " plt.imshow(faces[index].reshape(64, 64), cmap=\"gray\")\n", + " plt.axis(\"off\")\n", + " plt.show()\n", + "\n", + "# Group validation faces by predicted cluster and display them\n", + "print(\"\\nImages faciales de validation regroupées par cluster prédit:\")\n", + "unique_clusters = np.unique(y_val_pred)\n", + "for cluster in unique_clusters:\n", + " print(f\"\\nCluster {cluster}:\")\n", + " cluster_indices = np.where(y_val_pred == cluster)[0]\n", + " cluster_faces = X_val[cluster_indices]\n", + " plot_faces(cluster_faces)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "7G8C9bN9ojZq", + "outputId": "50704466-7096-49c8-fd3f-5804144d0c57" + }, + "execution_count": 39, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Normalized Mutual Information (NMI) score pour les visages: 0.8373253357325356\n", + "\n", + "Images faciales de validation regroupées par cluster prédit:\n", + "\n", + "Cluster 0:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 1:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 4:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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jUBEs8C8p02q1CofgTgGFdliPY/a0RdobrKcYkoK/cAL0WCVF0gzfRAEipGqCjtZqNTWbzYiQd3d3Gg6HkYKAalqtlqSft40uFgsNBoPYNCMpHLLn6KQGDw8PymQyGgwGgSZBPrQ4b7db9Xo91Wo19ft91et1XVxcJLaoDgYDzWazWAP0hPVbLpdqNBoHy+xJbLkTCsBiIgmkmjPXQKZ+v6/Pnz+HR6vX66rVamE8wEwvPwCr2+22Li8vdXl5qWazGdF9sVgERMJgx+NxRCOUYTKZ6Pr6Wu/fvw/Fx/hLpVIYBw4KA/xS/vic0Ww2JSU3X0wmE/V6vZCLIwq6u/r9vq6vr3V/f69ut6tyuaxWq6VcLqd2u61OpxNkIYZEzg4x5xsovFcB5wfvQAoEophOp/r8+bOur6/V6/USPQ3FYlFnZ2dBVqLcREvu77X45wxPAZEVqQ5kI46lVqsFClmtVhFYyMFJId+8eRM6DG+BToFUCQpwIaBVHAKlQZBVvV6PtudKpSLpEfVSkr28vAxEW6/XY40zmYxarVaipMY9cACTyeTPnjOQHgcbd61Wi2g7n8+DOOj3++p2u3EQAgIgkux2O00mE93e3ur6+lqS9PbtW3U6nVCIfD6v8/Pz8MLkRGdnZ2HYkD1E2Gq1qrOzMzUaDZXL5TDs+XyuFy9ehMKv12t1u1397//+r5bLpc7OzqLe3Wg0Qgm5twvvmMZNFJjNZhqNRsFSD4dD9fv9BMdQr9cj98Kj5/N5tVotNZtNXVxchIE1m029ffs2eAvKKCghA0gt7RELCAoFZ/C3mUxG3W5X//M//6P3798nkEe73dbr16/1+vXryOvn87nu7u50dnYWCumO8jlICHgq7dGFd/BlMpkgTqVHAvP8/FytVkuTyUQ3Nze6ubmJNW2327q6ulKj0dCPP/6oyWQSKWaxWAyiFwLZ74vjQNez2ayGw6EqlYrOzs7U7/clPSJSSer1ekHcPTw8BFtfq9V0cXGh9Xqtm5ub6E3w5+QfDuQ3MW68FQZ9c3Oj8XgcELfZbEZtznOdQqGg0WikZrMZUfXq6krn5+ehZI1GI6LA7e2tRqOR6vV6fK5Wq/1sM0KlUtHl5aXevXsXzC25E0bPQnc6HbVaLU2nU52dnUX9l8VCwWFUeRbPFZ+rnDC1oIztdhtG/OLFi1AaZA1cpgRyeXkpSQH1qAiAPNi7Tn2fPBjyUNr3qKOEyNPr/5VKRe12O3JMlLxer2u1Wv2s1pzJZFQul9XpdFSv1/Xw8KCbm5twnsB3ZPgc+Xmbbrvdjhq3pOAwiKRwNTTx4BQJDN98841arZY2m43a7Xb0cYNsMEzfSUjK5ylNtVqN31FdkKTxeBxrdXZ2Fr0KcC+Xl5eBgC8uLoLoxJC94gFPAzI5WGaHfpDIjdK122198803qlariTwWSEEOgyHBorJA7XZbi8VC3377rTqdTuRRQKZOp6OLiwvVarUEacY9JIWB39zcBKxHgAiJhSwUCup2u0GkkHdiFPf397q7u1Mmk9Hl5WUw0z6eo5yNRiO8PdCNOUsKSExuRf6K4aUbT+Aj+PxyuVSlUlGn04k8kZw4TdrhdFmLly9fBleC8lLaarfb+qu/+itdXl4GRN3tdpEbotDNZlONRkPv37/Xp0+f1G63w2kdI8VBn8rlsubzucrlstrtdig+pBcICIdXKpX04sULPTw8RIWAz+KsC4VC4igmglQul9OrV6+iJMazO8oif2eNvUkKfuPFixdB+IJur66uoqU0n8+r3W7HdbgPBo5zmk6nevHixcEyO9i4z8/P48Hfvn0bCT9RD4/k9T9ImouLC718+TK8/mg0ShAjDw8PWiwWkQe9fPlSjUYjhEevrh/hg6EAy3/44YeE0W82G3W7XWWzWb148SKMHKKKz9KkUCqVtFwuowmBZzvWoF5MFIBk8Xxvt9slOs0ajUaCIYcld+cJfG40GqpUKvG9l1dQSIfHThw5UeZ592bzeBQQ56FRAVmtVhH5mSeIgUabdrutd+/eRQXjuYOqBjrhzU0XFxdR7qOysFqt1O/3I/dttVrBfudyuXgOUOCbN28S5ScINyI8zpG00KM3SBF9qdfrkWPDcrfb7UA66LbvtyAdg2vh76S943/qOFjqnkeRg3iOB7FBrRWPKimx8wvB9Xq9uA6liVevXum7777TxcWF8vl8sLTkPl7q8voli9vr9TSbzdTtdiOPx6jcsLytEPadSM49uc+xBmx5oVAICIdT8YYS5EJU8Z5wIgbQkxyTKOU90ThESoA0xXgO5zV2HFuv15O0Twfq9XpEMt9M4b359CGQd0uKGrp0nN5yb+pI97Vj8NJ+m67vYaAGz8+d+We9qfOjqxzGeHV1lSDn0FmvpjQaDb19+1Y//PBDojWYHgzmR4MMqQpOwvse0GnkzXykvdM4dDzJpULDFwoFzWazRMM7D9/v94PSJ8J4iWs2m0UugbcFwr1580YvXrxQpVIJiOhQ0ruDMErY48vLy2DOHx4eNJ1O9eOPP0bewxyJis6o73a7IDeIfE9p0D90MAcnTCBxgF3j8TjKYyihN7HA8qOMPAcEk+8kI50hnYIMg1EnMpDeULOlbRJ+BZlLCsKJRiHgY9rggafHagTCWKXknmxPMdxxg1pgyJkH6QeGUygUgoCVHp1DrVZTvV5Xq9WKtNDZa+4Ncjo7O9Pbt2+DXccZZLPZIHrhK/zv0AFIXYKWV0tAu7vdLqokh44n7QrDSDx3RulgH1EOSjwQMpBIPASbEN6+fat2u62XL1/Gljtv6EjvIgM6QZ5QUmg2m+r1euEcvPuMU01RQubgfewQQHzGFfoYgzkhN4+y/BzuwXvQvVuK+j+GiULyO1COpxNEKtbMIx7QPJPJ6OzsTOfn50Hcec80ra3wHt5kg8HhOOEIOp1OpGjHGmm9A2EhQ5AIKO7+/j4MDkOBB6LxqtlsxtxxShiWnx1ARF4sFomtoZCXlUpFFxcX0bfPcVT1ej1SFuYpKaEHIDHQAESbOxMaXJ6SKj6JLUfZ6X5K53LSY3TvdDqRJ7IpYTweB2RjETqdji4vL4NEo4aNQqR7blFeP1IHhhfDLJVKevv2bZS38JwIBUjkNVtJsdgwyseMOi4/dxg4Sv8Mxu3w2UlKjwpScn+3Nwj59cnpMWiujYLSaESN2MtK7hz4nzXiukQl2iMhgJ5StvlLg5QOKOuVBRqoQCTtdltnZ2d6/fp1YgsyBsU8kQ/EKgZGmuTtv1wfZ+dNUpIS0JtmqW63G/l9Pp9PNAqBeNNBkzWV9m3ZyJ5/h46DjRvPhremqwYj8F5iJ9soRzSbzfC0eHc8FkqPZwO+e2Sgjzl9SASej8aF9XodpZ7ZbKZarRYtiyiJCxEH4qy0lDxT6xiDqMs83Euny2weXd0B+Wfc8aSbHpg3BohD9PKe8w5sBIGUowefz/p1cbBEMT+ls1arqd1uazqdBul1rMFON3QCngZn6RtnQJM4fAbGSKQmN6bvAUdI6sSacU/6yAkELntf01arFT0alLfo9/DuPic4kS1rhlNn3sj8KTr5pGOWHAJJe4/mXseJD+At7DXlADqaEB7QBwG5gnr5wRULA2eh2u12KBb1bWrr3B94RYRDMSGMSAl43mOONDlC5PxSmyvKgDz992mFSI/033lbpV+/VCoFGUd31WQyibKPH8jguSLoiEjKupJqUTvmsz6n54zhcBgkpCs96AMk5ykHn/GyX7o9F3mw7vwtvAuGSKWAFl6uQ/qEg3Pn0Wg0ojLkCIiSbXofgXMEfg+qAPR/HDoONm4gtT+8D4c4CA+jReh+ygoeygWMAaNQvtkC5eLhyYe4brPZ1Lt37/T+/fvY04siSvuTL8vlclyDcoUrBTAXZOKK+ZxIhNfnOjhKV0Q3WOToFYVfGk6cOZLCqL1vnvuBpojA/X4/dv55CpFGFMx7s9kEqQnkhWjDifF8MNPPGQ8PD+p0OokNL55iMLzRxeWIkbPGPAsy5jk9Ekt7Nh1DdFm70UpKoATuAaLke4yW3WmsC7Vx+hvo1ASNQrLCiRwyDjZuP2oVj+kL74Yt7fNHj+QeGfkM/3tOk67PuneT9lEVUiqfz6vRaOjVq1dar9f66aefNBqNoqSA48Fbo4yeNxLlnLT7khP7tSPtqHBQ5Hk4N3cmPLdXHKS9E2D+7LP3TR4MZMTfYbSkIrD0voPPS4fpgdzSNXNPI1ByIs+fc0yHjvF4rG63G62uIAZ2XiEvR0ROVqbTIX7nRo2s+Rn6QJrp6Y47TBqjisWiptNpgtUHpbK+fh2P5NwHu/FNOdvt48EYtVrtt2liAYahpF5eYnge+aU8kYfxqAI0x8hQUs+N0zVOJzGcQT47O0s0xdAF5ukDSogBMAd3Tk8lLg4ZLJgjFRyae/x0BPmSgfO3fkiAN63AgH+J8WdtQDVAczZe+IESPh+UM01wOmLIZPbvL6Mk51H0OYOaMQQZkRiyyXWE/9PEFc4Gxwiq4fpOzBEtpT38l/bvd/sSIoWcHAwGUcFx8o9rMVdk5UQphg7CzGQeexxqtZq+++471Wq1g2V2sHF73do9Ed7JI12aCHLlRMAM3+GDQiBo/1uExGKmmwny+XzUi1utlq6vr8NBOOR2D+05PAvrzKTP87nDlcyZeoeEaXm53Jww81yPXNmjludy/qzk/cBtDAQEQf0X+SIDl4MbuBsCzoC+aKAl2xafO7LZbDh+3h5K9CQ39hzfUSQydtLXESQ6R+AaDofRK0DkzWT2Lznk2b0RBT3O5XLRjESDkAezdOrF/+io944w/91up8vLy8Sx3YeMJ70rLP16HpTOPRsPnobsXrdDsCzMarWK00HI3fzwAW/K4HsIDveg5Hz1el273S7qtFxL2vdbE3X4RxT0/OqYbG86lQBWppWExXdH42QMiupnv6FUpEzZbDYUlkhApYH1c4adf9yD3A+CyNt+nfwhLXDjxlFI+zdrHMO4qdRMJhOdnZ1puUy+AIFn4n+enXmznh6p3ajRK/iH3W4XDTvoj8P8dKWDa9PoNR6P9dNPP+ny8jKxBdUJSkdDrpPMzR00PfVPCThPamKRFISKR2gmmFYcvkbYTkoAK32zfSaTieOGECAEG73XRNvxeJxoZmDBUDoYTHaMkdu6sWDYfO/dXd5qeIyBojtJ5eRP2pk47OWfOzIiI2RVOrf0Z/Iot9vtoszCttOHh4c4k40GIeaJ3L1cmXaINHiQx/v7u4CWzx0gAJ7bjyBCV9IIh2jLuvM75E1KwzPudjsNh0N1u101m81ENEWmHl25DnMAPWaz2diHv1qt1G63Va/X4zPeCuzOlXo8eugEqfcSHDqeZNwOuxlOPjjMcONOw12PvjwMDK5HHxeA95mjUOTUREB6o+/v7+MkjdFopN1uFzVPlN6PCHZlJYoeG5bjgIigkkKp0hHbyT0/uiityJ5/ImuMj/ZRnFylUtFkMokecOkxutzf38dhEMvlMnZHsQZERq+R++GU3rkFrEUBWXNHTr92YExEbw8ApIee9jlM94DiDTm01/reBc4qYMOSoyWH+0RqUgLfpsnvnSM4Pz+PTUGgDnSbezgx6ikqOvvU98YfbNwejb110mGPf85hh0dLlI3JoyR4M5RT2hNHs9ksdhtRPsjn86rVarHNbrVa6e7uTnd3d/r48aPu7u50eXkZhxDgPBzSEvn8kIgv8QLHGCi5R2+icTryoHxe88xkMokDC4HM7KnHcVHOonaN4+RwC84Bkx6N+/r6WtfX16HQdHDRfsraee8zCovzwAH5Wz4kJaLkcwf6hD44Eluv12FcTqQB5b0agzHRuDMajdTv9zWfz3V1dRXVlJubG0n7451BLr55KZ2qggSy2WwcyOHHPzcajYDt6LsbN3ro6ZanNcViMQ48OWQ8aeOIHwOLoL2k4PkDhi8pERWB374hwoXkJImzwbSx0kTPxhMO318ul7q9vdXd3Z1ub2+12+3idBeUA4/pZ5chVAg9SVFfPOag2kD64sx82rg9YuPoMDyMDJSzXC51c3MTMqSvn22P5ON07XH6DI7g4eFBvV5Pq9VKl5eXibo6babL5TJxsstqtT9mmZTK4SQ5LFD6GHXudrutwWAQ8+HVuKQYlJlAj9SHWXOCBgbe7/fj+GFKbEDuUqmk29vbaB8FDhNMKEv5/vDVaqVutxvn3G232+i1gPB0pMZc3eF4kPGIDepbr9f69OnTwTJ7sgZjeNTryImdsPCIJO3f3+SMrffm4o15mdtsNosDAXmDiL8mRtqf40wL63K5TJwVfXV1FXmV18fJA2GGURbgkLR/GdsxCTWagHCCGKqX3FhQ5IWj87ewgJQ4OHIymeju7k6DwSAihfcIULumz5/OM0cGEDZ+dK6nUy73NFOPcXv5kvXkGY/hKP/6r/9a//3f/63xeBzG7Q0kzu5LyeoE9/fKCDwDbyC5urpSp9PRarXSmzdvNJvN9P3336vb7UZad35+rvPzc7148SKBbtB9TqGB2JUUKGmxeDwC2uvwzJuBY3R+yQm/wWDw25xb7hGah8E4vePL2VTPJYC8EArU69hBgyddLBbq9Xq6ubnR7e1tKK20J/N2u12ccOkLh3PgVBAMxVljkId7ceAP/7O/9piEGgZBFCGyIC/nJEA5RGiaSpzYgc29urrSZrPRp0+fYvOHOy3aFjEKZMmAAOOEWX9lDggDh+5Ow7mKNKmGUY3H49hAQsT6tePVq1d6//594jhr5iLtDcPzbAzJ0z1k0Ov1NB6PVa1W9fr1a3333XcRlSuVin7/+9/r/v5enz59Ur/fjzMALy8v9fDwECcQofeFQiFeznB1dRWRmS3JvLKp1+uFg033L6CD2BpyHo1GUV5j88kh40nv53bPCHRNQwsEiwfyGjJCYGM6xkOXFNH69vY29mQ73Ep3ssGY8/1u9/j6ndevXwdpxD2Yj/MFLlAU1/PdYw4nvXB8pAzpejGKiZPhZBQcqzvPXC6n8/PzIM04FQenyr5vJ9jS5Kczws6LeIOGs7pe6XAmH2fA114N4Nl/7eBUHY947hxJ8+i38GckHcKhg2RyuZy++eYb/f73v9f5+XmgI5zE3//930e1hbW5ubmJDUk4MRqlMpmMrq6udHFxIWl/pl+n01GlUon9+pvNJtEMw1rytaR4juVyqT/96U/BOz2luepJveUIkKjDJBC2wwl/2wIRmy2F7BjyJpg3b94kjo2lLOYL6OQD6YDv0d5sNnGmlxM5vrgIPI0yXJkhatLdXc8ZdFMhKycevS6LfDkpBbY67QjcuJC1s8bSvpuK69VqtYiwXqcm5fFSGfIkRyeVYi7IMt1Q5HJn3/MxCLV///d/T9zDDcIJWa/FpxtweF4+/+7dO3377bextRUnhxO6urrSH/7wB61WqyDdHFl5m24ul4tDJdFv5E9QefPmjb7//vvYBJPuTfev0YXhcKgff/wxHM9TxpNeBOgGlhZyGt4StYlC5HTUQD1CIRwOjavVarq5uUkQQ24QnpOyiJR6IHmI+DC9/gwIjr/3ur0/1zGHN1J4qdA71jCudJ5ItGWuzhPgQNOchNdjkZF3QlF28Zovc/Rz0CUl3rP2JUP9UjTlGsdiy//4xz+GgWB8Tv4ReHgG0INHSCJhoVDQu3fv9Lvf/S72TCNHdBNk+u7dO223W3348CH0EZLOm1JIn0AqTvTRPwBE/+GHH7RarQJd+vN4KTSTyQScf/nyZQS9Q8eTXIHvp+UmnJvmkdvzCKA4Df8okjPjHPqHU2g0GpFTssPLGUbeYMJxThhErVZTt9vV7e1t7J7ZbDaJ89OYe5qV9rIe0cbLOs8dtGJ6cw4lLpCHpETZkP/TXUuSEhHXGVVk7lHLIwPoRErWobk+77omsnhHIvMnimPI3AN0RzXD+6WfOzjuiKDgtXNHYKSJBA6v2aOz79690+vXr7Ver4PJRh5cD5lxwiqy4FVMvmkJ4tBr48hgt9vFyxp8XTimzJ0AcuZz0uOZ576r7CmyfJJxA6/JX9nbygO513Th4vkhcxAW0We328XmB5wDnhhyzI2PjfXb7TYa7CXFTquHhwfN53O9evVKkqLrCqbXBYXz8d1jXrc81oA4xNO7Q/STZbxs6OUQRxySEmjG0VO6L1lS4u/8mR2NefSlF6DX6yWcnBt8mvyTHg2cgzFAHuxJOMYA4mJE3sHI8OjnZbFCoaDVaqVmsxlnkjNXj/BepmRdCAaFQkF3d3dR/nLU6V15uVwummJ4do6K3mw2cQYhCMARo3MhvEklvcvu0HGwcfPGA0/6MYR07uglLybum9NRKCDMYDCICIXh4s28+QQh5/P7I23IJb3Jhfvd3t7GkU/Sz/eiMxeeybuCaGY41uCZURY/hhhjh9kmFfFyFvLyeveXZOpoIJfLRY5JucoVxJEMpRvvwKLHwFEB6A0n5C+98wMNuNZisQh2+LnD14tSGzrnqMjLhvSGI8dyuRzEIoiQ44mlPZHFwFFxIMiLFy90e3ubkItzNS5bXnKZy+WimoNup88j5O/Qz81mE002/M7RxyHjYOPu9/uqVqsaj8cR6VhQfgYh5lGCNj+vay+Xj+/qdqiF0qGwwE4eylsvqYOztW673cZpmywE0bzX64U39Y0Gq9UqhEdzDDlrPp+Ppo9jDUjG2WwWZ2inX9Hk73dGcdxp4gCApLyjzXNnlMOJQQzcjdQjr5f8UB7Qy2azCWbZ0zKvqVO58DINRogSH2Psdo+bgZiHN/546Qv9xLDZpYZz6Ha7Go1GWq8ft1J+++238UJInLs7WGfgeSMLc8GxjUajBKfhFQgIaGRHypluy/XPbbePp/iOx+PgjpDBoeNJWz6ZNJF0NptF1xARPE2g4EkxXNhdSjWcf4YDcGKOyOG5DXmSv3h+MpnEDh7gf7PZjPouLX+8kcJJOWqTwC6MgeaMYw1PO0AGzWYznJt34aFgICNkxXY/d5qUvpwvYH2QTxqqIlucGQoDmgBdUGclMg2Hw2hn9bQBeWEQ3FtSNA0dYwCDe71e8DdeovO9CeiLt45yjh/15sVioVarFYQZu66YP3ySw2KcIg6Tci3PC0/kbaa8tEHaH+DAQZTI02WGk8EBscsunYL8pfGkwxpccfBQKChJP2UZFgOBYHQYq5+sifHzfmO8IS/KI/9G6ei2ckh5c3MTbLkLq1wu6/b2Nt5bxT+PWigy+RN/e4wND4yHh4d4hsVikYjaRAoM1dME30RApMS4cEwuQ04tTTfrSPuclbPRHR2AaOia43VB2+1ji6c7WXJTnCMvg3C2Hyh8zH4B9IkXI8J+83MnXdFP1pu0Ax2hB//+/l7/9V//pfF4rFarlTibH8PzXXIMdBfUAP8kKV6CwBFedBM2Go1wOF7m9ahOgByNRrq5uQlZ83y/Sc6NcTMZvJnnM9QB02UyPB0dU25QkDa5XC6Mtt/vh1JOJpPwyjw4uSnGSVTh787Pz4N4A07xahk8up8o491YUrK0cqwBy8rZZekdX6Qh3qZLzzYydQfH1xwxTW3aa/NEcu/SQtYgMCcnvYcAmWPgKCs6gOGwzpBuvp+bazrP8WsHa5/L5aLLi/l5Ew0lLK9X+5tylstlHJjJCTT9fl8fPnxQt9uN9anX67q/v4/31uFIMHZQDV/D6xB0bm5utN1u1Wq19Pbt20hZMew06YnD5h+QHN7Ey26HjoM/yTuGgXN+kPqXyACPikRbPBW7bsidyXGLxWIYOD2/OAicC0Kml/z6+jqUlXwZCETO1+/345U5/gYNL9k5iywpynLHGshPemRpUVLvsCJd4GvIRA7KTxNwKDwIBVjtjgHFwBg9JfGqBZ+DSCS6M3CSTk5KSkQUns/bKzGw55bDnFDN5XKRQ7N/Gr3juZx9xtjRs3fv3oVMdrud/u7v/k7/8R//oe+//z423vzjP/6jfvzxxyDbisVibB/mTS+z2SxRuioWi/r8+XMw3Bj2xcVFVGPgA7xnxB1qLvd4VFO3240NOwzX10PGwcZNId5f34rwHJ74QX0IdrVaaTAYRLMAufBgMND9/X3UCCnqex861/TDHLLZbNS6eVUqO3cwcOqI3hMNAcK8vCbpkcWJlWMNFjyfz8decyCl1y+ds4CkrNVq8QohcjZvvCGye1mPUorXxnEOvj3TDdtfJM8+7+FwGDv2SCnSxJyTokRJ73fAiJ4TvflbmlDa7XbMzRlu1s2ZbAySLrJGo5EgtFarlf7whz/oP//zP/XHP/5R19fXsWHk/v4+9jF4tcM5E4fooMO//du/1fn5ebRae4mLdQe9+d+v14/vk+92u2FbPN9v1qEGIUT+4sfE0oSCoDzv9hx5u90m3gBCZPImE3Ih2E/QAjkd9yaSt9vtyJNQdGASR+/iNcmhuI8TGOQ80r7k8lwo6YN7wyqTm0L++CuMiIoYKnAOQ/cD8d2IWAMU2luD3XlwPW+2KBaLiTdxjMfjOK4Kss9fo0Nk91JiOhViLujBcwfrUi6X9ebNm2CUvTuMZ4Rb4PPZbDaejzfDMie6x/7hH/5B33zzjXq9nkajkX73u9/p48ePGg6H+vjxY5Brnz9/jrefQsJKiu7KVquldrsdL3hwFOGOxzcv8Xt4J1ABlZ/VahXbTA8dBxv3cDiUpDguZjQaBUTz16QQFbyxgb3SwGp/ASBvUZQejZPc2bdq0rqKM/AmCpQyXVdkzhgIuSGCAsJ5SYXPMPdj9pZjhGxaYO5+/LL3RnN/FLVYLAbJ5TVddxAYONGa5/V82ufD36Hc3rMgJRGUpAQ77Idt4FA52IBn9XbQ5w7mvtls4iV9q9XjHmrk4qfywKNAUEr62auZpH1dH+d0fn4eJ8JWKhX1ej3d3d3F+9t5/51zF5LCkL3unn5zizthEKX/bLVa6f7+PrFJhvXgVVe/CSynlu3MJIIBZvC1N5OwuJSpKFlJinxJ2kPGTqcTKMFLayiL12+/RHAAv0qlkn766adoLeVzeEryTiApiuP98MeE5dwX+IpRQE5S+/SohwIA3UqlUihEs9mMiMRwAo3nTvMKadbViR0v9Th5SaoDX0KZ0NcHJ4FxIbunKuSfkx+G1Gg0VCg8vp2z3W4Hf+NtpkRL5C4lj4fCGeKMpP2LKzC0TqejZrOpV69exXlz9/f3UdHhOQkSOAlJAc+RAc0zoC3nTJDhcDjUzc1N1MzTJUVvQDpkPIktB1YiSGeXWVhYX3JkWE0IH4dPtOy5FyUfSm8WcejixBCGyMJi3JvNJrFtlAiGd3c4xOIS6bjHc0kgHzDhfM1C8T8G4mUrFBqDh1iUFD34RA/vDmQQWZ1UYs0wRtAKPAnIi3lwIIEjJtIk1t5r41KyBHqsgYxwgpJiP/v9/X002gBlnTBlLdk2CZrzQOGOHITCiSs4tmw2G41XOGjgPykAhkwAc0fjCDGdCi4WC3W7Xd3f34fDd4eGvv8mbDkTYVHJrTA+HihdJqFlko0j7IMlurpXR1ELhULi9bFuCF4S4e+5Bw5mt9sFcYKS4bGJbm7AXoZgQbjXsYYbmpc2cFDc2w/aQwmYr3dKsYGfv3HOA/l4c4VHVr73Uhef9U45kBFzlpKHMHpqwJwd1juH8dyBocI9YGy80fPTp09RYYHDcKNCNu7AkBtpBY5Aekw1B4NBotNM2iMwZOLkJCmT7w7zLa+ssSNfUEK/39fd3V3k2h7RPbV5SsB50kksKKNHUYzLWWeHOmmjo3+cCOp1SWexuZY/jBNmbgAYNwuIIGq1WpzOgrHSvunXRcAI/0tR8LkDyE9qw32IxkBhyB5q0zwTv3e23I+K4vkcBaVhKY6T35PzYyzMkW4z6rikW/y91775ma+xo6FjDRAGJVPuUSqVdHFxoW63Gxs64BB8TwL6hSMHSvvONRwVZCOn13he7EHBuQycje/B92qRlHw9lBOcw+FQnz9/Vr/fl5R8awr3dMdz6HiScRN9YMjJMfCA7pG8z9w7d3yXGPmkl38cEqI4nt9zH6K8E1EYAZCJRYZwYWcQgvXPk9+mvf2xBrBqt9vF4jsER76gC6/dIiffaeQ99M7EuoxAPjhkojUwE8dHWYguuPRZ3iAtNxTKYtIeFXyprOf/P2d4mkJaxdyazaY6nY4+fPgQ74jDuL2/3E/YRT6OMp2cRH/TW2v5DPJkrVy2GKGX6BwhEmxw0Le3t7q9vY02Yjdmguev0cknvcKXvmeEQ+RlItTkeEgi5Wq1P/0E0siVAGVz74ii+r0QokcpHAARHYaUCMTL2ZijRzQIFs+5PCc9ZocaOZy03yPsxgN6wTCRgxs+jRvI2dMK78py9EJKAtpBOUErKC4nlbJ/3iNGmnEnJaKMBgpzGO7Q8hgD/Ws2m5FaeDm10+mo1+vFyxUwbj9/Lv1+O4zbjRIDpAyIbCER+Rk8g7R/XTU1ftbBN3y4DD3P5mhp4Lj08zyd/51gO2Q8aeOItI/geG5yGLrWYDLxjPRL8/D0VNN26jml53iSQoF9EYFM5Mi5XC5xhpW/VL3f7yeO5GUh3JFwHc9Tj5krMvr9fkBrdiB57kia4ekLVQYWmAjsG0UkRaRK8wisA7KB3CS9AVExLyI3CIz5cF/WCweBIwcmO3Lw1OMYTrLb7erDhw969epVyMojealUig0anMdHFAbKIzMCzW63S2xegnPAWBuNhtrtdvSjQyajd86GY+w4CubGWnh9mlSp1+tFHf1LURl0wP2416HjSR1qzWYzcp98Ph8MMAYIXET4ftaWCxblwrhQSm8q8WjsDDECBdJQImIBYctdiMBGF7DnWOkcx0s5xxp+NI8fEuCphTexIOc0YYUcnAD046S4h0dpjJVmFSdCvToACw7CAElg6P41JU13Ml498WrDMWT5pz/9KRpWmIujOYybt85wsCHy8TKqIyUGv/d+fdaA8u5wOIyeDWTq/AzHOLtD4/egIE+XuB5QncHauMGnvz9kPOmARFjATGbfY45XwTjJG1EqhOb5MwoMFITg8pwYo3Ziy6MDAkDJUe7NZhPnqDWbzcRZa2khoXwYF9+zEMfMu5fLZZwo4/wCb6xkHtzfz4WX9udwMydIoXQKg4I6MYkSp2GfN0ogD2TsJCNrxZoT1bwezvzThsy6PHdcX18HMkROGAsQnJNecVD9fj+RXiDX1WoVuuwOEyTi/dysV6vVUqfTSRxr5frnu/nW63Wkgl5yBXXhPAl8nrq4DqR18qlpzsHGnclkogXRb0SUADJL+436eHA/nscZcy8FEc2BIQ4bfQ4OTzyieAljvV7HJnd6uv2EEGlfdvNTP715n+c41uBZyMnY202pD4eJE6QnwA+X8MiIUXlODblJFPFSlbRPqRzip6OEk3msr9d1cSjpdk9fd2eEvXb/nDGdTvX69evEi/BYNy+RUSFhHwMbMJAT+kI+zrwxPlLBNPPPuvjPfA24Z/oVQvwe/omttumeBjdmL/36mjx1HGzcbPejUd+ZQ4wMeO6sn5e5yKlhfr1kgGLg3SiRgQCkvWG4h/RSWrlcjl1fkqKTCOExHxTDGWlXQBaFxT/GIDrSoshL3dgC67uz+L2/wgZYjUOSkueFTSaTQFeVSiWxZdUjK38HmUYlgTUsl8uhrE5YImcng5zL8PvgqFHKYxj3drvVmzdv4pAG7u2MN9G7Wq2GXNfrtfr9vjab/X6Cq6urBEcDTC8Wi6HfHkEx/rTBu0Pk98iP6ghOlD0FOEeG245zGunc2rmZQ8eTSmHSvlQFVCO6ePR2mJuGFkRKDBJF80Z+BMWD4/3weAicDSps52QDPHMbDAa6uLgIQg+Fc1KIuSJM956QiMcY7IyT9ru9MEIqCl6PpdwIX4Dh40Bd4Ryae8mMNAgZozyOVJANfAlKTdWhWCwm9p17U4b3s7tyYtw4omMcejEcDmNfdbpciZ5Qb+el93AWXgUguqJPHJnkhor+8Cz+vOgGMqJPAZmC0EhpOIJqOByGU/ayMaQqDiEtR+b0axzkkw5IJC8pFosBtZvNZsLrp/dDE5XoUmPbKA8AwSDt38HsTKSXHqT92V9elpjP58F2wkyyJY8WQqLbYrF/Cb07IVd87nfMJhY6mNrtdjwHbbwYMM9LbRoYybE80+k0FpreeIeRGL7LGwND0R3aO1sOVE/zEKwh6RMHHrLGDGTvJVEM+yk7mX5pzOdzvXv3TtLPz3nz6AchhuPkWYDld3d3YeA4PJqIZrNZRPI0x+Gy41lpUMHpcrBIt9uNtlRyfycucRagDnoxuI8Tku500I9Dx5ObWDjcD/jBVk4IFz9/2wUg7d/bDMTk4SaTSQioUChoMplEZHPyIk38gBQoUUh7Vn+73aper8c53F4rJBLRT00kd4/sjQbHINacCCPn844nd14eOZywIhL4gQTZbDZ2DEHWEMFBM5J+5jRJRSj9eOcacuDwjNVqpV6vl0gNHK46eedogTTuqfuQvzT+5m/+Rufn54lre5rhSAYDx0GSQjAf8nDycs7bo7mK3W1ujE42OhLl3nAmsOqcqU9qiNycgObMOdh5+tOlvY77vn/KqIeOJxk3N2o2m1H7Q1EXi0Wwk5LiuBqEANFDlCiVSsG8sg2y0WgETB0MBrExghzbWwZBDvRCU+LZbDb6+PFjvNal2+0mesZRfH+TSbqBBZiUNuznGDqGMRqNVKlU4uwz8ijIGncwGJETMURYSYne+TTLzTNw0AKpgJfbgIf+jmnKjazjYrHQYDCIZ4cTYY5AVXec3pSE3J47/umf/inxPWkEEB0HlWa96YokLeMAw+l0qp9++knT6VQXFxfqdDpqtVrK5XKhd96BhnGl+yJIeXDatKxympCfXOP9+SDh6XQabL8ftyzto7Wk0PWn6F9mdwzJn8ZpnMb/uXG8/srTOI3T+D81TsZ9GqfxlY6TcZ/GaXyl42Tcp3EaX+k4GfdpnMZXOk7GfRqn8ZWOk3Gfxml8peNk3KdxGl/pOBn3aZzGVzr+H+gCAH6zBwULAAAAAElFTkSuQmCC\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 5:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 6:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 7:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 8:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 9:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 12:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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sFo1FCAaDyufzOjo6kiSr3Ozs7Kher+vBgweqVqtKJpNaLBbq9/tKJpNWiZNkXrVer6ter6vT6ejrr7/W8+fP9eDBA5XLZfPY4FJyCyp5RKNAIKDNzU1tb2/rgw8+0DfffLOSvFZWzM3NTQ0GA7169UqdTkeS7EL29vYse47H42q1WqZwg8FAp6enOjw8tAyX8BONRlUul00Z8bDlctkaDBaLhZrNpoW2dru91DSAUAuFgiqVikKhkBqNhqLRqI6Pj9VqtTQcDlWr1YxSAWMOBgOtr69bAkBbVq1WUyKRUD6fVz6fN0WuVCorVy4ur2w2q0ajYQlZMBi0ik40GrWqk2/UkM6z+WfPnqnZbFpZjwaatbU1kzlKRXFgMpkY3Or1ejo+Pja6p16vG2FPZIjH4yqVSgoGgxZdwKXffPON/v7v/94owtPTU21sbJhhp1IpgwG+tp/NZhWJRNRqtfThhx9qd3dXT58+XUleKyvmj370I3399dd68eKFZrOZksmk8vm8qtWq1tbWlEgkzBsR/sj8qJdTlSkWiyoUCqpWq2q326pWq1pfX9dsNlM6nTaFbrVa1vRBQuM7cAiHcJ25XE6VSkW1Wk3j8diMiXAJf9psNpXJZMwrYyh431evXlkDQiQSsTr75uamXr9+fSWF9IuSY7VaNYK8UCgY/KCJuVarqdVqKZ1OKxKJ6Ntvv13qeEI+w+FQhUJBt27dMu4W2NTpdKwSA54tFAoaDoc6OTkx2AXzEYlErOrV7/dVqVQ0HA5VKpWUSCSsmkckIakiAyeCUo1KJpOmuI1GQ48fP1axWHzzPGYymdTBwYHxaGR8u7u7lmH6djeEncvllMvldHZ2Zp6MmyXjg68Mh8PK5/N68OCB1YHL5bJtCGW7Xq+ng4MDS2Tgx1BiwglY+PXr1yqXy8YIRKNRbW9vm8cBi1HZoAtnOp1qd3dXX375pebzucrlsh4+fHgtpYzFYgYJyuWy0U5ra2vG7YZCIWsLKxQKCgQCajablgyBi7PZrJH+FBgSiYQVB6DiwNPdbtcSJyBNNpvVJ598on/91381Ws/3GZB1sy9cL94Vmms8Huvs7Mxe2+12lcvlVC6XlUgk1G63tb+/r3A4rD//8z+3EufvWysrZqvVUjKZtBDzJ3/yJ2q1WspkMspkMup0OobBIpGI1Vrh0+AlCRm+TY5Odum8pry/v6/bt2/r5cuXajabVkvv9Xo6PDxUJpPRxsaG6vW6Go2G5vO5da0Q6lmj0UjVatVCdb/fVyaT0ebmpiUEZMIkcBDNi8VCp6enajQa+vjjj5XP56/NY25uburk5EQnJyeGywnHwBaSuXg8rq2tLWUyGT1//lzT6VS1Ws08E5h9Npvp7OxMkUhE6+vrxrU+f/5cpVJJn3/+uXK5nG7fvm2GeufOHfX7fdVqNVWrVStsxGIxnZyc2D4Oh0MVi0VTWnAvnOlwODS8K8mMwnf7A70Wi4U+/fRTTSaTN9+PORqNVKlUNJ1O9fLlS21vb+vo6EihUMgoD9rbINEZxaCzBxzqy1/06VFz7/V6loxQAo3H4yoWi8aBHRwcKBwOq1wu6+zszL6b76d1rFQqmQDJWMG5MAmEa15D6AYzPXz4UNFoVD/72c/06NEjayq56qpUKkokElamA4e1220jq2EGoI4wpHQ6bXgvm82aAkPTgNOLxaJVx7rdrtLptO7du6dbt25ZVJtMJspkMppMJrp//76R6zs7Ozo5OTHD8C2KVOxIYOmFQC/Y12w2a9Bkf39f6XRar1+/VqlUUj6fV6/Xe/P9mIVCwagMMt6NjQ3rCgffcDP0EUK0gzXb7bZarZZVXSCsfa9juVzWycmJKpWKyuWykeSBQEBra2vmOfF0cGPtdlu9Xk/9fl/1el2np6dW9uO/gUBArVZrqSkEwdI04WeMpPOKyc9//nPl83ltb2+vro1uLRYL7e3tKZPJKJlMKpvNGkaDOfD9BcPhcCnEU3MGMvH3ZDKpSqViDSrxeNwUfH193UIqnhYGIBAI6IsvvlA0GlWtVtMPf/hDlUolo6l8QzLGCv/piyaeHoQCTCQS2tnZUTQaVbfbVSqV0osXLyxKrbJWVsxKpaJ//ud/VqPR0P7+vv7qr/5Kf/zHf7xUV6X646s0hIJ2u616vb7UTXP79m2jX8jQf/GLX1irWS6Xs1os4J7kJxKJWFMIoB2vSRID/QMe9pUeMKnvmOG6oWnw8rdu3dJwONR333137dGKRqOhO3fuLJVWoa/g/2gaISvHQOB7eS0VtGg0ahgffP7rX//ayqrZbNYyYzqpCN14PfaDQkapVFIqlbIETJLxqmTdl+UGQ8K/423X19f12WefaTgc6l/+5V/013/912++Vg7ndnJyIkmq1Wra29sz4RG+2+22Zc9ktt1uV41GQycnJxoMBkqn03r33XdVKpUslNDf6ZWZciVCgxT2OCcQCCidTlt3NlQM1lqv11Wr1cwjcS/whCgDnTr8l/JoPp9Xq9XS2tqaDg4OVq71Xl71et02EsUBzhDiKJ1i6Hh1CHl6UentBFNKWmrchu4pl8tWoPBzP3jAcDhsoZheTKLi+vq6zs7ODGPDliCvyyVnavK0L/qJ1PF4bFWoN14rh/M7PDw0q51MJlZ1oZcRXAjOgyaSpFKppFwup7W1NcM8fnDq2bNnCgQCevnypfb29owK8k29kgy3np6e6tatW+p0Olaqw9OFQiHlcjmlUikLc9BObKS33slkona7bfAAgU8mE+3v76tarX5vTukqCwoLVoMaM40X3nNCDdFMgleDQtrY2LCEjmbr+Xyug4MD/e53v9NgMFC1WlWlUlnqn/TNHNTG8aCPHz/Wzs6O3TM17lwuZ/0CQA44ZTw1EIOwT8cY99vv9/Xxxx/r7OzszdNFk8lEW1tbevjwoYVkMmvpYsBKWm7rh7f0xCstbJKMT6Mr/fT01CgmEhAwKuGNzJiM+tGjR/qzP/szNRoNC/fRaNQydLrXIex9qZTr91N+zLFgbDQt379/XxsbG6uK7Hvya7VaqlarpiR0nDNTTrTwhzGgEPRabm1tmcfDY0Gw379/XwcHB9rY2NDe3p5V4WjWQN6e90Wujx49soobeyidE/zVatU86uVGafIKPCgeGXny993dXR0cHGhtbW0lea2smNPpVJlMRu+884729/cNr4A/pIuyJZsJYJa05IG8YtBA+5vf/EYHBweKRCK6deuWyuWyfTfJFEIG9BcKBR0fHxsDgPLBr6G49FfiocFIPvP0w3TgZRK6UqmkV69e2WdfZ21vb+vp06fa2tqyv+FVUBZgjb8ecC+G6sec6UIKBoN69OiRvvrqK8OV4HPfRYQMcBjZbNYGB7vdrp48eaK7d+9aAaVery/N8lweuyZBxGt6DIqBTadTJZNJpVIpDQaDlbPylc8uun37ts7OzvSHf/iHVj4E97CZdAoxdATp6kMxyRI4LxqN6tWrV3r8+LF5EWreJFC+uYKwhadlzOLzzz83tkCSXRuehxCPYMFD/FBJIXT2ej1rhE6n0zo9PTUy/DrrRz/6kY6OjtRoNCTJiHwyWY6MIdTDEmSzWeXzeStC4G2Z3ZHOE6sHDx4YJi+VSkv4HKVBiSXZXvH3aDSqs7Mz1ev1JQpQ0lJzsr927zB8KRXdoMFnsVioVCrZET2rrJXN/86dO/ryyy8Vi8X0l3/5l9Z36c8KgiKSZADeW5i/Aazq7OxMX331ldEfVHLAXnhIPwskyW4eCNBoNHR6empdMoxegDd97yHJDZkqzbksPwkKK3BycqJSqXTt0Yr19XVtbW3p6dOnxkCQweJV6OzhBA68mySj5TAyVq/Xs4YJmqFzuZw5A5TRN8r47iDulx5KhveKxaJFDrCs7+onRPvhQRQXhwKjcPfuXT179mxpjOX3rSt1F7377rvqdDra3t62G+aG/JyJJMMuKK33XGC9Xq9nSloulzUej60vEEvDmkkIJFlS0Gg0lgzkP/7jP/TBBx9Yec0rJrQGyuCrTX6MFoFSD65Wq3rw4MGS57nOSqfT+uijj/Ty5Us9ffpUs9nMyHrfRe7HFryX8uPQ/Fuz2VS9Xlc6nbZuIU/gE1l8Jk1EkM5pIJLGQCCgp0+fqlAo6OHDh7p3757S6bTxqVwLe+D3hT0gIuIIGI5jnv8qo88rKyZEablctlYtSWbFWDaUArVbvABuHnqEsBkKhaxDm24eSSZYODi8Gx3fkMWlUkmlUkkPHz7U2dmZvvvuO2sQqdVqZgxgOEC5b1r2w1Z4y2KxqI2NDUuo/DlN11nz+Vz5fN5CJpmu77/0TIE3ZhTXjx/TTU5iiCHBQwKdUCrfdoiXKxaL2tzc1Gg0shJvrVZTOBzW48ePVa1WtbGxYcyJr/ggK2TiMax0YVSMjKTTafPWq6yVFZPKCW1OKAbKB9D1BDsVBkA+jcX1el29Xk8nJyfa3t42GonmDjwZXsp/PhgLWiefzxvI39/f18uXL63tLp1OW1NCp9MxuICX5r5IMqChUqmUgX/6GvEO16WLSHKo/NDGNplMdHR0ZKVZjwc9c+CpIxSr3+8bliyXyyoUCiqXy+YhJVmnPqPVdJyjZDs7Ozo8PFQ2m9WHH36oJ0+eqNPpWFM4JeJYLKZsNmuKxyJxY6/YHz85yQKrrqRvqwqWNjY8jQfqeELIX0Ixk35+fKDb7erk5ETdblfHx8fWdJrL5azWi/fACimRkX3jodPptM1+r6+vK51O69/+7d+sJIf3oAWLQgCG4zvAUTzKhBw+4Lvt+f06y/dYUqXxXoXCgY8s0sVJdCgxDoHRhWAwaEQ6R7DgwVAMmim63a7hUcZbMBT6OFOplA4PD5VMJq29jgpYo9EwBSUBgkDHI2NENHPgYdmzVVmNlRXz8ePHGg6H2tvbs9YxjlHhy6m+4FXo1aPywwEF9XrdMOJkMrFxgHQ6rVDo4hxOwhXtYggAKyUJoN9yfX1d0+l0qf8zmUyqWCxaa9x4PLbGVpavsPADDkaJ/bzMdRbJHt6EhASjTKfTlmj484t4j58qpcK2v7+veDyun/zkJ9bATDTBYdTrdTMyIhUGyYkbs9nMpgUoBzPaQukUDpn2Q/CjbxGEiiNKIjMw5/+V5Of+/fuaTqd69913rcICfiEsQPPQBBsKnR9I0Gq1TBHPzs7slAd6+abTqXWXl8tl81ocrHB2dmZK7zeazT48PDRuFBDODDYtYpDKdN3TmOvDC3SSr7z4pAsBX2dxLbwfDO3/H6iEIlLOZfCOkmytVtPZ2ZmOj4/tPphXpwUum81a0zbOoFar2dlGGEA4HLZxFX+v3W5X0nmCRFKDcWMs4F6fXLJo7AYjoy9vHGMeHBxYd7MkswzcOZvqCWA6tgkhjUbDjsHmta9fv9a3334rSTb0NJlMdHZ2plqtpqOjI52cnCwNYCGEyWSily9f6uzsTOFw2Gri0C2U+TAUBvvxxNTK4VvxxFwbCu2z8esmP2wSn+GNQdJSSQ9j8eVGRnZPT0+tfj2dTs146/W6njx5ona7rbt37+q9996z8Y1Go6FarWbNMzAPi8V5Yzc9n1TImN5E5iSbnO1EOMbY/EJhiSzAFe5pVbrtSlOSbD59mR6k46kIpYQbQrifBkQweLD/+q//0vr6us1KF4tFew8DUeArv1k0afhxVuniiGdfQkO5yK4RoE+EUE6Uhtdi6YS66yw8CF7Y168Jc3w2iksyCeFfq9V0cnJirAiN219//bUKhYKazaaOjo4Md4ZCIQvjOAXumyaYo6MjHR8fG6bv9/v6yU9+Ym2DkqzdDUX1nUTcizdYf4+eSwX3rrJWVszt7W0D0hwy5TuB+B3FY9YGDwmI9qErkUiYctLh7uvZUA1Yr08eBoOBarWafSbKTt+mL2Fipd5jAcz5ISQFg8Elb4ni0LrnselVl8dcGIVPHn2igIdn9htmwU8jlkolo5/y+bxu3bqlYrFojdbD4dBCfrPZNGovFoupUCjYHmazWYtuiURCm5ubluBw6rGv6gABqL5xP56L5X75Qear8sArK+bu7q5VS7gAyFdfj+XiadiFcwOX0oTBoQMIkoZhPp9MkvEJbhRw3mg0rMWKcB0Mnh/kFAqFls4CQqEvWzsK6c8l8l31YFiUnzHg6yyfIKCAyE66oJPw4CglHVH+QAHq3BsbG8rn8xqPx0qn06pUKjbPA7ySzsdioL2CwaAdLZ5Op7W7u2sjytPpVLlcToHA+ckce3t7NmnJNZLp483ZE/ApDgH5cu/8/sbPx3znnXfMY6KQ1D690LF+FBQayXs7ivo7Ozva2dkxOoaHAMC1gZ3g/Hj0CGHFN6VGo1HlcjndvXtXgUBAT548sfHYy+SvdPFwAvpI4f58wuQJZKDKdWvleG02yCcH/B0Mj5e/XKuGuy0UCtZpVC6Xl+gkihKz2cwG0WhXwyGQkErn54aWSiXt7e3ZmVAkU+FwWGtra3Z0jaeICMm+ZIzBeyIe3YANeeP9mBycBS7hMAD4KxSThbDILqVzK0qlUuYhf/CDHyxVkkicyESZbZG0RJXwSA42i1NCNjY2tLm5aSGDpgkKAXhL6SKr59ppRAEvAQ181YX+w+usyx1SKIDvdPJDZhgSXp9ow5Tk2tqa1tfXrRTJ3jCZSA8AUECSyQrMCC1VrVZVKpXs7CNmsoAuJI8saEJfIsZoMWTeg350u10bT15lXantTTpXrn6/r1wup8VioVartTQnw2Z6nMQmUJlYX1/X3t6eqtWqhUzOCIJba7VaVuUA/5GMeD4znU5rZ2dHe3t7xq1NJhOjUSKRiHV0Qyz7xINMHQjBfeIh8D5gqevymAzkQaFB2F+ulGAEl8l2vBEhu1wu2xE3GJc3HJq3KU6wN0CBdrttUY1hPAbVhsOh1tbWDGPSxeUhDZ4R9uBylYoIgIzpEnvj3UUkLb4CweJCUU6wCAJFSUqlkmEjBtnAeMzZMH5BCU3SUlKCYUiyUzXW19etxu7xZDKZ1ObmpoLBoGGly905CJDv8l08eAA/KnBdHlOSnRpCj4DPzlFKj3c9ZqdkSvmW+/X1ezwn8qQTn14BIAFy5B75d+mi+RpqKBQK2WgFdBPY3jMUKCgyBI/7DikfNX7fWlkxf/nLX+r4+FjHx8fa3d21Y1Z886kXJMrL6G0wGLQEJ5/PL/GdZIqU5fwwmxccm+m9GJ00hO9g8PxxeBzbzMELbBDcpqd/UBA8GCQ7/0YDCZ77OovvorOeA1DxPEAMCGyfTFKHJoxTZiXsgo9p8oCd2NrassfJdDoda0Pjv1yP3y8UjiQzFovZuQEwCciauSFJpvhESemixRFPz99WWSsr5j/8wz9Yue7jjz/WO++8YyOh4AmsHI9JxzU35zMyTyExJsBRgJ1Ox7plUCTpApt5bpIxC1+pAD/F43E7QhvODyzs67wIko1CmPRGItBgMGjPObrqAsN6BsOHbjaWRMvjTOAOZwtBiXm5X4YDgcD5UdUfffSRksmknj9/rtlsZp1MGB5NH51Ox7wpBsMJKsiFxJPvIZJcxt6Ecjy5p+eoPP2+daWTOBDGycmJjo+PValUjH7wx/7h3Xw7F4P6i8XCKhEo72AwsL6+4XBoD6+SZAcY+MzYt7EB1FFYDgG4DDfI6uly94JEyL5nEy+OYElErnuoFpOQyBACnfvwWG1pg/73azFyPA642BsumBTyXJKN+Obzec1mM/P+3W7XPBleGpYF+XH/fu4J3E9yeLk1j5Kqv37vZd94EwdAmwt9/vy51tfXjeaRLspPVBYQGKOwdBmhTBxDSBc29XEORCC0IHCeL+OrNmSPTO5RvYDOIgySeCSTye/N/XgiWFp+1AtNEZ4quc6iOYUSJ4bkq2eSjF6DI6TzB1nxXrqFmKMhStFwwQFiNNygMH6ilS52DDgYDFqvLIoJ9uc1UD7gVF/580kq7yHZI/F645UfbwXz+VyPHz/WJ598YpmrDyfBYNDcvnTxVDAqETwSJJfLaTY7f2gVIxKXn37h8aYvMQYC50/dZTMIuWAveE5ODiE8k5WiBHwPHtGXLvFmfBZe7jrLVz58GPaDcnhBwj6VJ4wCJSIq0D1FIQI8SbWN9+AowNi+V4H6OPPnKD4zT8ArZODPr6LPAMOVLuAWEA+9icXOjx3/4osvVpLXlZ5a4ZXz+fPnlsHhVdhkMCPCBlvQwvbq1StNJhO9ePFiqczmD2BFECQAhAyPMSHHeaQIiQqvITv0wmFQDsVgxBfPjOf0SQCYynffXHXN5xfHA3JWkaeMaHZeLBZ2D96wCZvIA0w9HA5Vr9f18uVL+xtVHO6Le/UN1xgqs97pdNqOK4RoJynymTRQBnmQRPmeA196RGm5t2azuZK8VlZMQDqr1WrZOZM+g/YlKd6HV2s2m6rVanY83mWyleMDCcmXOTJ/w3ge5lV8Gx6eh42XLho0CE28n8MQCNtUTvAEeEkMr1KprCqypcV5lfCEGIHfVHAacmPxd0KsL/GilHRkgePBjXyuTxz5QWmp6HHkISf48XffEU8i6YsB3qN7I/eJGJwoiebvW1dSTL9CoZCePXtmfCQYAyEgHBISQk2j0bBN+vDDDy2rBnty/qU/TpAw4UlezzNKF9UHfvdgG2FK5wrNSXJgWBK0+fziyRqXB6egYVY9FOryOj4+XjoYy2fkYD+ulVl4kjI8P5vdarXsgLInT57o9PTUWsp4nR+Z9krpOU8UiYYVYEG73VahULCD/cGaHu4QHX1E8gYvyaIN10P9f5V1vfqazqf+Xrx4oT/4gz+wY/K4QAAx4YBGDM4DD4VC+vGPf6yf/vSnlhRx5Ay1cVq1Wq2WcXnUkgkjPrTiqX0SAYaD6PdNGbzGQwOfMfN5l8l46tdXXcfHx/roo48sNGI8JAwYlm8Xu3zI1ng8tk505pFqtZp5LU+co0wkiF6B2Bu8Jd6XDB/PnM1mra+B6pB3CBiSdw4kSb4C6DP3er2+kryupJg+jErnzcMHBwe6ffu2JQ0kLiyyZvDKfH5+ssUHH3xgnTHFYtHqtslk0kYtwFZ0V/uyF4KicRUFBdyHw+cn6tJQ68MK14EA2XjPKSJYFNdzgNdZr1+/ViKRsKcYgym9QV+WM9eCgdO9TuQplUra3d39XgKHDIAjGOJisVjqh/XVJ2g/qDQ882KxMA4aloOKj2/V8zBBWj4kgQQZpmCVdSXFvGwdg8FAL1680MbGhmE3z8VRvvK8ImXCjY0NU9ZwOGx1bjyjx5f+MSwkBszKMLkXDAbN8sGJKBgC9UkPIc9fM5sF5UF4RHk54/0669WrV0uhld8ve0qWp5FQShqnm82mbt++rU8//dToGNrQ4vG4RR8UkP3ye4JcmSVCBovFwg64ffnypU5PT60hxHOcnuLyxP7l5Y2MI7FXWdcO5QDy/f19exgRoZLFDYHn4OU4vIlpv9FoZOEC5QcXMoLrqRWE6oehBoOBHdyKkDknh5M9wEQec3ml9BgKA/HGuL6+bieiXXW1220dHh4aDwhuvhxefTOMpKUZcv6bTCb16aef6v3337e/A4kk2Qy3v1fv0cCwsVjMngMKRUU0Al/iWLySA6X8dfuIg9L6iADNtSoPfGXFvIzH4M4YIvNAGCqHm4tGoyoUCnbQKn2CHOwEh9dsNk3JIIx9JQdPRpc7HCnNHQB/vCuhBy/pK0h+Edr48bxpLBazY/muswKBgB49eqQf//jHS0oIae6zZZ9AwFciy9lspt3dXW1vb5s3JTpwetx8Pler1bKyKp+JEcINg0vpZ+XzCeecsEwEQukuV9QuJ1bska8OSRcVpFXWlbJyv2lka/ybd+2+UsOQ/mRyfkIwm0sTBYlPp9MxIpdBND8j5K3W0x94U/7OPDRtauAsz4H65AelBWcRyrlHvEM6nVahUFi5CeHyikQievbsme7evWuh8nIZkmjjvSgRBeOORCLa3d1VNBq16Um8LxUePDJRhlDvCxc+QcVI2SsvS05UIeKwB74cKWmJs+b/PQyi92HVRx5eaeaH2W+ekUMY4NB+n/nS/0goj0ajWltb09bWlorFogkFvOMf6E43DCVI3zjAd6CoKJB/PAuVJzwRvZZUisBD/v0I0CslSgp0yGazK/Nw3xN0OKz9/X2dnp4qn8+bogBFfFLmwx+RADaCB45irGTRPjmjatNsNm0aAPlxz3C13DdQYDweG52WSqXsyXYM+PkQjgGAj/Ga3nP6xOz27dsrQ6GVFfNnP/uZSqWSCoWCPShAOveWzWZTJycnZkGeqmEj8/m8jQOk02l7zAZhgWz38uZAk2DVHjexmF+hf5AwTriCPiFUeYrIewAESzIAaT+ZTOyxeNed+UFOjx8/1vvvv2/ktXRh0N4bY0D0plId4wkQJI7Ip9/v2zHjKDPPk/R9BZexoHRRWQJfM3AXCJwfeutbBblmHIYvvPgEku+hpLpYLLS1tfXmCfbPPvtsqQpD+Ysyn69asOme2slkMlpfX1ehUDDlwuuFQuezzHCM4BuSI2+BbCKCxXNTSkOxSF4QJhm//25CvQ9HvP9ysvDee+/9t7h01cUmffXVV/qLv/iLJS/DfV1OhPwxi3SXb29vG+RBMaF5kNV0OrVEiXvntb6lDpaDx8fwu39SMgko+JBoA+Phr9l7X99sw15lMpk338HOQBhC5mcwGFjWS0IiXUzJUQbM5/M2OIVSSBcHiEKZ+GNngsGgzawQzn3mTlMG3dpUcPhs/p0EjL+zMdT4+azLB8yyKpWKisWieYjrrlAopMPDQz179kz37t1b4hR9PR4ZoZgkhhsbG9ra2lqCM576AoKAKQnZHqNiqJfDMvcPv+qJev98d//d3lP6pJh79eMp7M0bT34Ii74eTZsUoNxnYlgU70F5wUrUshHmZDKxSgVdLJlMRvV63Zp/fTVBungGDQpFQuaxLkpGG5m3Yjw03hTBeo8fCATs0X6X+zivsvAosVhMn3/+uX74wx8aNvSeDi/kWYfF4vzpGVtbWzZe66taKBneH8Xy3ekoLg6A42jI5iHOfYufp87wdD5Z8tCHe/RVM64nEjl/HjpN4auslaWM1XiejYugO4Y5DwTszwynoYJmVJQJT4u10jwsXeDOTCZjAvnvuEdff06lUpbk4L39cYke/Psj/cDMfgNRUKor1636+M+Nx+P65ptvbFTDl1d9KIQKms/ndoAs3eZAHOb3CbkoLPQP+0XjsJ84pXLG7zgSvvtyuZeys0+2MCJwpIcnRFcw687Ojr777rs3/2S0y93cl39ns6fTqY6Pj5eyYRIaGjM8F8YN4LF8KILW8XPKnsSHX8PSecIDn+ezcOa0+T7OLSKEoij+eeAwDnR/X67OXGX5RGA4HOo///M/9dOf/tTCNp/LPfNdkN14ba7VswiwIzR98HD7WCxm3erdbncpggCJgE7I1DMfVNKIMJFIxJIwypbT6dS64P3ynpvE9/j4+M2P73rl8ML2pGs2m9XOzo6m06md5Q3GAdATlrFIQosnX/256N4ze+7ShxC8KcLyczwQ+e12e4kq8tmp71ryiREPG+XvXO//dCUSCX3xxRe6e/euDcqB31A431KWSqWMPCfqUGKlPEtDr+9EQkZ4Tb7DT2JyPAz7IslmrSTZmAvd7uwXmTZMCXiS5XMBKn08M2iVtbJi+n48lqcbKJ3t7u5qZ2dHX375pZ4+fWpt/wibkyCwssViYV1HHEFDGxhKKF00IHiPeLnsJV1USujcQcFRWKzYnwSHl/TPEoKC4mBYruO6HewoCt+/v7+vX/3qV/rss88MY1+GKN7wwYooD72rGOzl+7jMNxJV/PfQIwl5zlAaSklyy/cjw8lkYjAAZeUafCI0m81UKBS0tbVl7MAbL0l6bHlZOREgI6r37t1TtVrVb3/7W/3yl79cmlXBGzHb4jeaaoE/uNSHfv4Nqwcu0PfHrAxhKBQKLbXJ+XIk9wAtEwgEzANJ516tWq3aBmNE183KeZ8n9n/zm99oa2tLd+/etbApaSncQhWhcDTCgIPxUigoDsRTSHg4zxkT1v2AG14Yj4uyMdPFlKxPGj2LIF00ZONZ7969a7Aqm83q6dOnq8lrcV3QdLNu1v/FtfIDqG7Wzfp/uW4U82a9letGMW/WW7luFPNmvZXrRjFv1lu5bhTzZr2V60Yxb9ZbuW4U82a9letGMW/WW7n+F/vfM+JwKTZVAAAAAElFTkSuQmCC\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 13:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 15:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 16:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 17:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 18:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 19:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 20:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 22:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 23:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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r2tjYsM+rVCoGxemCKxaLRrSNx2PTSVAJ9+8darfbtUoLRCxE3cbGhjHq3tHirDxR5oOlr7PH43G9ePFCjx49Wl1mq74Q4/3ss890eHioN954QxsbG5rNZuadgWgYba1WszwccuPu3bvK5/OKRqM6OjrSwcGBWq2WQZxSqaR4PK5SqaREIqFcLqdSqWR5dTQatYgnaUHINF+gcIeHh/rggw8Ui8XU6XRUqVQkndUWfQ2Zv3e7XXU6nS/0k2cyGcXjcT1+/Hhl4foBwzwcDvXs2TPt7+9rbW1NmUxmgXwiQvb7fTWbzYWKQ6/X089+9jNdvXpVBwcHOjg4sHQDJcjn84aIeG+xWLQckHKbZ8+Hw6GlHby22+3q/fff149+9CM9evRIjx8/VqfTMV1A7kRunEu/31cgELCId+XKFcXjcTUaDX344YdqNBoXkp902mvR7Xb17NkznZyc6M6dO9aBBuzFCGu1mo6OjgwZAdvv3r2rQqGgRCKher2uw8NDW29KsJlMRrlcztK8TCYjSUZ0UcnwOTIoyQeFg4MD/eAHP9Dbb7+tyWSiZ8+eLURwdM8HGgjAUChkBClQPZlMqlqtriyvlY376OhI2WxWH330kb73ve+pVCpZZG42m8aOt9tttdttHR0dGePqa7X37983CHL//n1Vq1XbvUMUyuVyKpfL2tzcVLlcVjqd1mg00tbWlmKxmNrttnZ3d60riNILRB4/x2IxvfPOOxqNRvr4448N5nhCCaYczw37TB4Hsw1Eh8A57zg4OFAoFNLOzo52dna0vb1tCINrdDodqy4QedvtthkflYlHjx6p0Wjo8PDQaqPRaNSY4itXriidTqtQKKjX6ymdTqtcLtsmhKOjI0MFfqNOOBw2tp5SJSkDURBFlGSEHHAdec7nc9Xrda2trUmSEWC9Xk97e3sXkl+321WhUNDdu3fVbrf17W9/20g1DAJd63a7evXqlRqNht0L6eH9+/cVDoeVz+f16NEjy7UTiYSlLNJpyri2tmbNVI1GQ8lkUlevXtWrV690eHi40CE3nU6tj52/9Xo9/f7v/77efPNNPX78WA8ePLCSLcaNLfBFyRV7ikajSqfTdq3fSp37pz/9qbHYRF1KDPV63ZQDD0lewiRZ4FarpY8//ljSqcNoNBrWiBGJRFStVg1iw2BibCcnJ8rlclarph0SY4ZdBpY1m0395Cc/UblcVq1WWyBGpEWyiGiEgBnJZFKz2UyVSuUrlXJ+8YtfaDabaXd3V2+++abJDccWDoetlAjTjPNsNBqWM5LbSbIoPBqNlMvlNJvN1G63lUwmlc1mVSqVlM1mrRyIsh4eHqrZbFoaM51OlUwmTc4YyYcffqhWq2VVCElG3lGf9Qww+TqRqdPp6NWrV8adAEcvMh49eqRkMqlPPvlEP/zhD22NPR+CE4brIS2gskMV4Fe/+pUikYhevnyparX6BQKQlCOXyymfz5u8c7mc1tfXjckG/dAb0G63zWFTuvz0008VDAbVbDatv8FvMsFB4lSA9p7ADIfDxi+ch9Bd2bh/+ctfKpFI6IMPPlClUjEh1mo1K5GwqEAaIk61WlW9XrdOKq8Q1HoxcHIYn98BjQ8ODlSpVNTv91UoFCyykBsBr4CzkUhEH330kaLRqGq1mgKBgOr1uqbTqVKplM0znU5b7jkajZRKpYwYKhQKKpfLSqVS2tvbuzAh9LOf/UyFQkHf//73FYvFtL+/bywt6Uyn07FclbrtbDbTq1evLF2gNZEaKOgFp4D8cESsS7fbVbPZtG2skgxGHh8f23Vns5mazaYmk4kqlYo6nY4x0pPJRLVaTePxWLdv37aUIpvNGnGXTCYtBYAcisfjlotfFPn8x3/8h5rNpt5++20dHx+rUqkY/KaDUZIhlVKppG63azIGzsKQQxLS9XVycmJzb7VaSqVSxlhTHmy323r58qXpSCqVUiAQ0PHxsaWfvL7ZbEqSPv74Yz1+/Nh0FMLT8wXon3SaIqXTaWPfM5mMyuWy1tfX9eTJk9+Ocf/Zn/2ZqtWqbt26tUAKAX+lsxpurVZTu92WdKpA3W5XR0dH5tUymYxisZiy2ezCphL6eamdEonT6bRyuZxBV19K8A0ag8FAxWJRnU7HWNJGo6HxeKxqtap0Oq1Xr15pOp3q9ddf1/b2to6OjtRqtaxDiUguyYjBUqlkkeeiG0eOj4/12muv6b333rPSyc7OjhGQnU7HImmtVrMGi1AopEqlokQiYRWHUCikQqFgjUSgmVgsZoyxTzFSqZTi8bjq9bra7fYXSo0HBwcLVQMMcDAY6Pr166pUKhbRgejvvPOOtre39dFHH+nzzz/XjRs37NogH3L4K1euWInx+Pj4QvLLZrNqNBr69re/rfF4rFartdDVB1EqnTYwPX/+XO122/ondnd3DZVRGiwWi19owfXdYtT20+m0MpmMlc0o+6IvkqwZJRQKWQtsIBDQ4eGhWq2W9vf3FY/HjVSORCK6c+eOrSHrIZ3xM3AkkUhE6+vrOjk50WeffbayzFY27kKhYIz12tqaksmkarWaESssPAIPBoPKZrNKpVJ69eqVEUY0OuDtiZxAkEQiYd6MUko8Hl9g4Kmn4glxEEQMBEOpAgfUbrfts5LJpDY3N9VqtVSpVCxXpaGGXHI8HiuTyViLKkTeecff/d3f2f5gWO1cLme1TJSHrrBOp2OpQqlUUrPZtMYUvDqePZ1OGzmWTCaNNYY0Qs6UEkFCvhedhguchC9zpVIpS13S6fRCgw25om+vBaYCX/P5vO0f6Ha7F5LfX/zFX+jnP/+56d5sNtPjx4+NRyBP7ff7qtVq6vV6ymaz1o1Gjtvv95XL5RSJRJROp9Xtdo3dpnpAORSCkJ4I3x0IMoLv4f4TiYTa7bYRZ/F43BAV6QP7KeCDPvzwQx0eHurq1ava2NhY2AMAgoNQ8/30v2msbNyeaJFkN0kk5sKxWMzINiB7NpvV9evXTaEgB0ajkTmAXC6nyeR0LzZs5f7+vhE7GKXfUNHtdheMLZlMajweK5VKLew+C4VCKpfLRorhrX/1q18pk8no3XfftUYb6ssggXA4rGq1arXzixo3ZJd3PkQLFMqnKvV6Xbu7u2q1WpaD+2YSSnbUl/P5vJrNpoLBoME8lJ7vQEbkRyrkS37ValWFQsHm0Ww2TflxQOvr6waLb9++rUQisXCs0Xw+V6fTUTKZVKPRMP34KjVuSFt2YRFlqcmn02lNJhP1ej0lk0nTVxpbNjY2DGFirCcnJ+boQEkYEUjDs/CenINLQk7skaBpK5fLmTMNBAJaW1uzHWtE5v/5n/9RKpWya1Mtmc/najabViNPJpPK5XJfOLDjN42VjdtT+Nwkv/tGiGw2a2UF4DA1UBYGWO2bURAItd5UKqV6vW6lDd+Uwvum06lFpslkolKpZI0U5K+SjGTDoNLptJUX8vm8LQQ98DgQNmegsMCqiwwWlcXxDRFAL8opKGQul7PXsxUQUsofASSdOttyuWyGuLm5qQcPHliZyKMcZIijorxDiej4+NgUk0YZnBNNIiAlevNBTaRIEESe4CwWixfu8KMSwrZjvxGINIScnzp2rVbTy5cvFY1GdeXKlYWdh5KsNRq502TDqUPBYNC4Hxyr7xGnn1w62+ufTCZNXgQxZMiJKtTiJSmTyWhra0uhUGih6sT76FAjtTrPYRfnaj9FybmZcDisZDJpyoYXJUJns1k7Tw1I45VLkr1vc3NT+Xxew+HQ8otKpaJcLmcsL0L2de1AIKDbt2/r3//93/XWW29pPB4rm83q+Ph4ofMLWE1HE11rQOVQKGTtrb6Di3sFEVy0t9x3Jfn+byICqQWRgI4/5MzOL6KG3/6aTqd15coVcwYo6d7enhFlfh8xkF6SRfNOp6N8Pm8Qem9vz2qwdJgxR3JqT3x6noKc1nc1oqgXHegOracQfPA4vmxE1YbKgt8w4xtIcPisc7FYND5oc3NTT58+VaPRsCDhG1iks372cDiser2uwWCg27dvK51OG5HnS15Uafr9vjkB5o6jXO6JZ439uq46znVYAx4I4dDcQemBSQAvTk5OjKUmb/M5Okq7tbWltbU1K7HV63UdHx9rMBjo2rVrFlGog6NA8Xhc29vbevDggeLxuJ4/f658Pq8rV65YTt/tdk25fWcRkBgHgIPC0ClBYBzM+aKwnDq0J0swAFh65uFP8+B6nGBCwwT3xP2WSiXjBEqlknq9np4/f67r168v7IX37Y4w7fv7+2o0Grp9+7ZGo5Hy+byuXbtm8l6eL0QmGxtw+pSfmD+k1HQ6VaPR0N7e3oXZ8kgkYlFbOju8AtThG0FwzETz6XSqTCZjMB3DRgcxZtqXe72ewuGwPv/8cx0cHGhjY8NgPw1AzAGne3h4aGsSDAZVLBbNZiAp/bohU0qdpIIY9nLrLxWB30qdO5/Pm3FAvmQyGZsINVoidSAQ0HA4VCKRWNidxYKQg125ckXlcnnBQ6HYt27d0o0bN+zafkcXwk2lUlpbWzOo5OHubDZToVCwfJq5+giKU/L9veT4HrZBrrCw5x2pVEqVSsXej2MjGtKeO5lMzOhg/7k3340HFCXS4ozozDs6OlK5XNa1a9cMCuN0/V5wSXaN4+Nji/6RSMR6GpibR22sEbkta4ux+O/0Pfz61782YzjvwFCB4z6SscOO9ANkARLr9/vKZrNGZhLF6aWg1ETv/Ww208OHD9Xr9bS5uWklK/TG64uvW89mM+3v7+vatWvWzAOp6RteaKEmUNH5R5QPhUKW83tHT3fmquNcp58CCWnDo26JJwcOYUhAWSbu8w5fXyYXhjyj/Q72GvLDbzX0xBxMPl4XogOkAMGGYngE4Z0BJTjuzTP8lKnOc7SsH/l8fmGvM/vWgXVsGfT5PgocCoWM3Eun0+ZsfDvkycmJ9dCz4eTWrVtWZ0ZeOFAcbjgcVrlctmtKsnkxT/YBwH0Ac0k1kFUymVzYYcd3P5Z/P4/+YcTMjfyfiEi+iiOiTAgfAOylVwAirlwum8E1m02l02kdHR1pa2tLqVRK+XzeKgLoOQ6O9HNra8ucoGe0g8Ggtra2rB4PasAZMk9JCzyGtxMQJBWIVcfKxg1ZVq1WdfPmTTsiNhaLGZzFaDz5wN98acWXYNLptJrN5sIBCpSs1tfXjSkm0nCjvlsskUioVCqpWq1aAwH9wCiyr136TQ/S2SYKBMj8QAp4+Eqloj/4gz9YWbh+0HlUr9d19epVpdNpK4v4vM+TMX67az6ft/lBSkJU7u/vG+zO5XI6ODgwpaOPH6be76QjcoPAqINjmD5Pp8EIeO77o3GMfo8yRg45xbbPr7JxJJlMqtVqWd+/d9DAXRwdXzgB0kQIX+YHXIfU9C21iUTCGpjQPXSC9UKPqZmzfRk0Ksn23gcCZwdNeNYbY/dO2+8IhLCkF2NlmZ1HuG+++ab+93//V2+99ZZBOWAQ5AZelEkQraQvns0snfbw1ut1g9g7OzsKBk/3IkNw+JqprzdKZ0cW53I5ywFfvnyp119/3WqQPiXgPSi7H35eKDY1efZSQ66cdwQCAW1sbOju3bu6fv26QWTp7Fw1FtLvDUaJfDqCvIk+GHwoFFK73VatVrP+/FwuZw6Dtl2gsiSLYuR/ONZCoSBp8ZhdjBpY7Mki/1ocMekNSpvP5/W3f/u3F5LfdDrV5uam9vf3bR+A36a6vMbME5bdG4/nUjKZjHU00mexu7ur2Wym9fV143tg/XFkvnIDjM7lcgoGg9rf37fP8jrFWuKYl1M8Agv3wndSsEAgoJs3b64ss3PRl+VyWW+99ZZ+/vOfq1arfem2NL4QIk0TfoJ8QYCQT7x8+dL6oenpLRQKyufz9jgaHIiPdCxasVi05g0IDqId0YNchr/xf+94UBAMDQYWXuGi4+2339ZwONS9e/cMTfhrUYbx0Y6Ijzf3Bk4zz2w2s3qpj9q5XM5SHz4TWfE5QEHen06nbQstcJ4Ij/Egc98lyEBhSbvYRjmfz/UP//APF+4tHw6Hun79umazmR48eGBNKHA3/t68k0T3/O4q0CP70DG+crmsarVq+/bZtQc0p5kJB+mDBU1JQP2jo6MFBIgcuT6R2aNS/3nIMRQKKZVKKZPJaDgc6k//9E9Xltm5zi0fDoe6c+eO7aeFsAEiUaLwHsjDCBQalpJ+8dlspqdPn6pYLFqE4Awz2lARAopJY4bf1UWp6uTkRPV6XS9evNCNGzcsugEpqRGjtOSOPn3AGVH/ZIfRN77xjZWF+2Uy/P73v6+nT5/q008/1WuvvWa93ygAua/33r7xxbPdcAxA0P39fSOY8vm89cgTXfjy0BwlZR8zbZMQQ8iMqOUZd49iQA8Yle82hCvwNdzzDlKR7373u3ry5Imi0ahef/11u66/NpEcneNn0grvUNkyS03bN40wfw4L8fLza4ERJ5NJra2tWf/F4eGhtre3LbdmrlQaGJ5998EFNEuzDgThyjJb9YVe0TY3Ny1K7O3taWNjw7yRF6Qv9ZCjAdNRrHa7rUajYRCJrYIIlmv7fAcHALnCZ4EAyuWygsGgHj9+rMFgoDfeeEP5fN7IFF+DRWkxHgyMhWYBk8mkSqWSOYTzDqBwPp/Xt771LR0fH+uTTz7RnTt3tLa2Zk5veeDxcUC+EQMDHQwG2t3dtXPeaBbxHVne4fpdXJIW4CangMzncz148EA3btwwphoZs5b+c4lIkEFEOLiRfr9vjvIiA6K1XC4rm81qf39fn376qd544w1zxMgEYtCvNbL0uhcIBNRoNDSZTGx78sbGhhqNhnVOsjnGl1BxmBBkGC9OZm1tzcrAoVBIa2trprfogq8wLOsiTgp0RFXi1atX2tjYWF3nziNgn2tweMF0OlWtVrPmD19LRAn4DqOJklJ6oAQDu06rHYpIlEB4dIv1er2FHBCojaNh//CTJ0/sXLVUKmVKTd7I4nlig1zbwztJX2qAqwzyQ2AWJM3u7q6VdDAED9Wks/3CKADkEJs42MWEYRcKhQXCxzfeAAdp8vC5cyAQsB1JnL7y5MkTfeMb37Aecz7T59veWVAO5RQStp6yg+qiveXS2QP4OMbo2bNnevjwoW7evGnHOC3XwZEfawzXwmcFAqdnx9Xrdd25c0eSTLdxVugFn0+k5lroHoYpSRsbG5pOp9rd3VWn09Hm5qbppSclGcyVigZr2+v1lM/njTw9zzFf5zpDjRuiNownns9Pjzo6Pj62Fkd/GLz/8v3bnmWHhMtkMtbbTKT1aADFIop7JhzhzmYzg6f06LLX1p+W6ZlzFBRvSb6/trZmm+VxWBcZvhQHE3v16lXL/16+fGklHH+CJ07HP0EDdpfNM5RvNjc3jVXlflg3X4LzcoWwITXAyWQyGVUqFe3u7mpnZ8eQABHIlxNxujhB+t3Ju+FkcG4XGR7B0IV469Yt7e/vazab2Z5z2odxWqwXhs0XQWo4HKpSqZhuB4NB25yC3uFsuVf+tpwCSDIDhhTlrDw22fiqgtclTzqjhyAHzn/3eflKOrfqC/FMGAOKBlOYzWYXzrhGKf3uKrwm0Q/F4jtlB7wfTDwOhS9f5ggGg7YlD6gDhEyn07p37555W/JAlNELlfvzuTZECnzD8kKeZ3gW17P9pVLJmmP4e7vdXuhz9xtAiNq0rHI/EGgYLZ/nmz/IL0FNyI9z8Lrdrq0xpb9Xr14tlDU9miJi0ZvNOpKzrq+vf+GAxvMopx9esYHE6XRa29vbtpPOn5vm5eXRDvojaaGngNIpDSv+zHJvjAQRjJWGINh7vgaDgZLJpO2jB2lxPNNykCC1YRsu5G+5XDbGnvtYdZyrt5wIQFTFaDBCPB7eyUNwWkbxnJ6EoJUUqMIhBZ5MarfbdmiA/1wWnSN+UWCE50/eJK8EciFkX5/3ZJCPfijKV408XMcjCEnGtEKQYYBEFxwlSsq2Wp8nNxqNhfwNIoituHAbOBFIUIhJmodQLsgvtizC2qPsrBFIJ51O2yGJEEE4E+/wLzI8gvNBg3UlKCBjf9yxDwyet6AiQD853Y6esKRJy8uKxhOP5NbX1xUOh81BIhPOB0QW9BB4XfoyIpdTghOJhOmvPzBzlXGuyO3rc377JUJbhseeBWYgLN8DjBHRWtdoNCwqcRIlp2rQn41BhsOnRzfN53MdHR2p0+mYIqLQ2WzWyB1/TreHbJ6x9Hk+Cs45Zxc1bp//MReuDZtNuSsejy/stCMyEMWBiNls1spB/X5fT548USh0dhILyhoKhWyPuH+AAcQQTTDHx8cWQWq1mu7fvy9JVvFgHr4Uyd998wWlNdbXt2teNK3xHATrwVr5fQ44cOmMb/ApDM4N9OnvJxAILOg1pVTSpGazaXu1PRqAi0LO0tlz6OE2fPkVtAUqJYBxPyBHTgcCyeKMVh0Xoi6ZBM899gbuu4OIsF6haAaQzp6eQCltf39fo9HIjhWi9gpBxFnovjGFo5ZgE5vNpjGk+/v7CzkiaMLXYhkoH8qCZ8YZ+AX6KoNdcN5BeZgNFOd3ICRzRhGKxaL1S2NoR0dHFmHY10w+HgqFFs5Ip8wyn5/uvZ7NZnbUMlt1j46OdO3aNXPSGIlPMVhH9ABdYK7IHRLzqyAfIqikhaiK4frONXJ9UMoyGuJePKLjZFYOp5zNZoZGZrOZHVzp1wSjrFQqikajqlarhihbrZaePHli8qCygeGjpx6RSIsP2gwEAoZGcfirjnPt5+Y70cdPxueGKCs/ezjuowY3R6Qld4JFZ8dMsVg06OmP1SEv4vrAUto8gVsw1Xg9v7vIwz3m4qGdV66LRh1kxFx9GQtjxJD9lz/8wENKoDikJBGV3+m/n8/ndsQ0EJ2qhi8dMoD5nAKzvr5unXQQYiAYrxO+Z4B7wynijHBkFzVu5kcq4JUeWXnSdpnj8T9j8L7+T1kWnePoqXw+bw/GkM62ufJe9lij7+TXnFR0fHxsMsTZ+KOlPTRHln6tw+GwPUrqt5pzexLGt056hfVGjNARCv/znUTcoD/6plAo2DOSBoOBKpWKnUGFokciEWM0gU3SKSHCFj5Ob0HRPLRDST1L6nNickV658kzL0qokScC/Yg8yBVG3J80s7zTjRIKsM6TgWzaQNkhYNgXz9lxGH0sFrMDLYh4RDtyZiKWb4HlM7knrw+sL4y/7yJc7mQ772BdPOpDNj64ePTD33yA8d+B4+hgMpm0yIqjbDabdtQXhyzQA+HTFY9IOVih0WgYWen7KeBRCGq+EuNREDva4EDQlVXHuR4ESB0WwfLdQ0YfzVloIhHOgbwDRWXXliTLNyB0gDiff/65nTLpCTlyd07goPkAkg0FxBv6hWODP0bua+bL+TW/X1RBfWnG90P7ffB8p67NgvucFceIvMPh00MdqH+Sj1N2wml0Oh01Gg0jhFAiDp8EGYECKL9w2KRvWqFuTgQlKuKUmL/vX+d6F20/ZR2RpW+QwVH6iM0XeuedKakRdXv6Gujqg+2nH58nlRwdHS1UG9jZ12q1FoIWiHRtbU3lctmeHuM5K5yO72vASfoyJSiTxpvzjHO9GoUBIkCkcJY1i+3LYERv8g6OOIK19of7SYuPLUL5YK4DgYCOjo4WCI9AIGBnrl27ds28IdHJRxsObvAGhoL4eXuPjhPx9c2LDJyej9T8zlz8F44ARfLowSsB5Tp/GAPtu1x3bW3Ntmx6iC+dHaUL2w3M5MQP4Kp3znzuMoMtyfYfE408kSh98Zlpqw6fb/rSHHDcr7NnxnE2OG700JOCGDrIB1RI8OAAz729PVWr1YXUhno0zoH7l2RBjGsDx+m3wNHC8vs+DhytrxqdV37nMm4YbPIBjIJJIXDvuX3NEbhCtKBcw4SX2Wv6hQOBgAqFgubzuTKZjLHmwFRIN7xmNBo16I6R+wPv/HbR5eG9pjduouVFIw/34z22dJbn+4gtnSEF36iDvAOBgNWWyQdxkP1+3wg7HBktkZFIRK1Wy6LxfD63KJXNZk1GzIvHEkUiEdtO61l8L0NfceD3yWRipR+M6qvk3P4oKr8rEH1crnpgEL7DT5KhRuSIUZKC4ZjQLxpyllGo50ey2aw9HYdUByYdVMWR1TgQ0giGn7NPXX2lyncb/qZxrtNPWTCgnj/UwHt1DNxHcHKURCJh/bFEI0kLJQpyXc90QupwpBAC9ttMWQwvKBQfj8pxOXh3Dxc9bMLI/MaUr5IzUsLCYPl8H7mlxUPzlzukeC2RhmjrjxZGLh4+smY0+3iF4r0YDfMLBALWlQZSw8BZL+bkOwZ9asF9+g0m51FOPyhJ8ZnIUzpj5ZEnX755hs04vgQFx0NKguNBp0nvWBfy52w2u/Co5Wj09Ams7B70jpmKTj6fVzgc1v7+/oKj81Ga9yJbj9JAVL8VQg3ojXKRX2MYvuzhj4bhNfTFbm1tWecOZAKRHQWHjMEI/edLZzmc34jgyT5vtLPZzHb4UNeF1UdZPOHDz3h7X1f+qnVajvvFgHEwOBau4ZUDg+Ha4fDpc658rZXa9mw2s95uKg5cA8VhPbxiwcjzSGbPN2SzWXMMlNFwDr5HAWNZZoYh93xJ8iIDp+AbcJAVfAkEJM7MN/SgH5CyGKTfFw4n41+LDiJnzuYD/sMh8VofCEClPHyDx/rW63UjyrxcgPogHT5nuWS26ljZuClJEW0DgcBC9443dm8MKEkymbQnUBL5PYPKomGswCOEvVz78+ypJ1Mo+eDxPDmVSqV0cHBg+5vb7fZC1xBzBobzhaP5KsaN0nGf/G05tYE4oTRIxMHgeKolDC3NKbSrdjodg89e0bkXPx9q1pA25PAca0XlATkTpVBi5uxTGb87DCPBaQPTLzL8Fkl+96kS+sHaYXisL/pCUGDvOhUXDAeylVzYBxUcP/fty6s4G08us6uRAON5HRyvN3CGJ4t9CdrvcFtlrGzce3t7KpVK1tjhoZekBdKJm2fiePRUKrXwOFoeRMANket4KN7r9exsMW4QWAVJBvMdi8VUrVatLMRh+Cg40IZTN3yk9vDcl0NYNKDdRWElRuvTGxSSQfrgYToKiQzD4bB1mnEiJnXX0WhkJ5ZCfqIM3mFJZ+eAe7g/nU4Nhh8dHenw8FBra2sKBALW+uuV0RuFRzpEQkpF3jAv+jgmyDFfz/fQ2/+MvAhCHskFg0HbVUZggVzzAcRvzkHHWHsPvYH98/nZ8c3+WV9852fO5mf/ANdDp/miyYX1Yq6/FeP+/PPP9fbbb5sQEbiPvCjkMinFaRg02kOuYaBslgBOUt/zdUtfDsKR+Ppmt9s1pptctFqt2kYGolA2m7UIg6PwEQ1FAZlgXNzLRY27VqupVCrZGWWwzTgeXz/Gw/v7nUwmFrUHg4Gq1ao9L4uzvprNpg4ODmzzxPr6upE5RDeMAueGLOleY115Sse9e/cMUZVKJdvTzrpjSKRi/M+3h3KvX2W0220jc1knEBAy82jR66BHlH4bp+eNMJrRaKRWq2UPQ/S66GvsvH48HttmEJw/211pIR0MBnb+PsQdB2768qbXLebGfcznc4Pyq46VjfvevXv64Q9/aDeEsKQzSE0O64WN9+RBfjwPGSHm83k7tZNNE8BL4CbwDi9MFJbOHAwQh7IOJaLRaKSdnR09ffrUjs4pl8vGDaDc3Au90bCw0uLOsYvCcq6Pw/Cf41lyz1tQG2V+wGEM73d/93dVrVZVLBatnsqD5x4/fqxMJqPr16/b5x4eHurJkyeaTCYmA2rkPPKYXUj5fF43b97UL3/5S0my3XGsgyd7fL7t80P+z6CcdJGxv7+vb3zjG+Y0SDl8ioYzWSaoPDzn9Nher2dBh3ZbdJOKAryM70VADyi5gqCi0ejCSSkgwnQ6bcd/bW1tWXNVKpWywx79HD0J7Vt9SRF+K00sdDlduXLF8mVgq29Y8OQDQpbO6qVHR0caDofa2tqyx/gEg0GLMBAPpVJJ9Xpd9Xp9ofxC1xoGQDQlV4QQInojGGBarVaz0yhJHxgohK+n0vDg2dmLDCKzj9ZENX9tFpeSoW+qgRDkMIFsNqubN2+q3+9bLhsOn+60KxQKdooqsDSXy+nmzZtWeUCBAoHThguM+urVqxZ13njjjYUHSoDQqAkv36Nfe65Ls814PNYvf/lL/c3f/M255VepVHT79m27VxTdczAoPg1XyJYA45+hJsl2bR0dHeng4MCegMrx2J1OZ2E7q3Sq30R1HmJAyhkOnz5HG4RWqVQ0HA515coV5fN5HRwc2DnyvsPN8wHeXkgHfRPReYLLysbd6/X02Wef6caNG5bjMXzuuOzFPSQKBAIql8v2MAKgSbVataeZQCTQfMHOGF8W8gsJpGTLIhCH43EkaXt729oxOYzAk0iehed330NNtJhOzx58f97xwQcf2Nlf0hdPgfF1ae8sPY9B/oYikd/l83nb6BCJRIwb4aB+7sU/dM6zzvP53PoIqHdzrddee02ZTMac4nLziq/LS2dNOj5HxDEOBgPdu3fvQvK7d++e3n//feMW+GwM2ZOVOBOiOUGIxp52u61A4PQElqOjI1WrVeMzOKAilUqp2+3q5s2bunHjhpW5Op2O7t27p263q+3tbSPO1tbWDDFxQKeP6icnJzo4OFAoFLKymEdlHnl4BETFgeOnzzNWNu5UKqVPPvlEP/jBD8wL+5KHjwK+8YKoSySifg1p4UsGNFl4JSfqeuZ9eV8uwpPOiIeTkxNrmkFAEBqkBQhSOoPDy0y8/306PT347iKD011v3bq1UDNfrlt6YsiTfeS0RBIIOcpXwE6UHwKPe8LRetZ/edspp4GiXBwOiFNjrmyoWa6MLCMeYDnOc2dnR8+ePbuQ/Pb29nR0dGTVFg/5PT9B9POlMN8IAmeB/na7Xa2vr+vOnTtGGNKWzBnndJah95TDgODh8OkBmru7uyoUCtrb29NwOFQqldKNGzf0rW99y7glnp5Dqolu+zTWlynREfba/1YidzweV6VS0b179/TNb37ToCUXZzLk40TzQGDxSYqUKfjigAXYVRQVxpyFI3ry2b7MJWmhmwcHI8nyJkoRfPfbUFEA5u8bGjzJEQqF9PDhw5WF60ez2VSlUlGxWDQG2tfvlxsxuCd+94QLhouMlmuuvj9AOjs5lHvwCuJZdd/FhaJxUAQdWjgI/15v1DhcegVIawKBgP7rv/7rwh1+nU5Hjx490vvvv2+OTdKCI/TQlqCB06csRTmOXJjOvbW1NbXbbZVKpQX95pgjnuZZKBTM4YVCp/u3OfwxFovpzp07evnypYrFohKJhOXZvV5PoVBIhULB8nsvC9AOegckx0FhE34X328a53riCMQDBoCwPJSkxOKhOMYNhMIL+Qeme+Z82WksM+Z+MZc9nu/NBRL5sggGzcYUFNRvciCKAV8DgYChg88++2xl4foB4/rpp5/qj/7ojxa8si/lMIjayFiSsace+mJsnsjx8pNkDsB3Qy2vnZcPXzStgAA8imL4qOjvBZmyRs1mU48ePTqXcvoRCoV09+5dvfvuu8a9LN8r82Y+nlPBgflqSi6Xs/wYw+LsPCA+rw8ETvcwFItFO1MgkUio2WxqOByqVCqZU81kMtaGCpznpKJgMGhR36MNf5/eWXqH6p3vKuNc7advvPGG/vAP/1AHBwfWmudrtl4xqAMSjYGFvqmfnMSXnijX+PPDKO1gmN55eObSPz7YQzZfi/XKtxwNeS21XF7H5z979kxPnz5dWbgLgg6HdfXqVf3kJz/R9773PctpubaP4t4AvePCWQKt6V/GIfpyF9UH5MyJIMjFcxi++QSnC1FEHu+blHwb5DIByd9xiqFQSLVaTW+88YbK5bJqtdqF5Aek5nly/u989wy9d8o+704mk2Z40+nUTulhGyc7FT2BSBBivzY5v2fsOdV1NpvZgxl95YX99367MrzPsj7zOaQC0lmvwHmQz8r0byQS0Y9//GPdunVLT58+taONmIg3Jm/gRG2MBUdANPaPX0Wgfg+u78OlRumbCHxNGOXyJTgUn8+ktuhr3XhO39LpmVfpVIl/8YtfWC34vCMej+v69evq9/u6f/++wT5fTsRBenLSt6FKZ8iCufnGGo+g+v2+nTtXrVZ1fHxsX69evdLBwYGq1aqq1arq9bqVfkAzfBby8FAf2S6vgV9DWPPxeKy9vT21Wi394z/+41d6yuef//mfazo9fVgf1/QpoZ8riGy5EYQAQMrg+QMQHuSaJHMOwGIcJrKHW6DWTRUGvgIjp2zmOxBxOH5nG+vqyU5+hwRcdaxs3O+++65+8IMfWCngxYsXC7CLiUhnHpyarIfKftMGUJsF4T0+6hP5vbCoE/pH5XAd32CAo/DdZV/WDLMMK1EEPm8ymdgjdvjs8w7up1wu66OPPlKtVltgP1FMPwdk4ct1/nVflsZ4R8e6QLb5gxm8rLy8PILxMvEGj7Ivy9o7eSJopVJRo9HQixcv9P777+uDDz64kPy++93v6oc//KGdFcd8/Pw8AkJ2fjulb9/ECdK+i3GiR+gE8iNAsZbLFQOv/8u6xRZP/7AEHCTDp7EeAWMr8C7n4XxWhuU//vGPVSgU9PDhQxWLRT1+/Fjb29t2xjjD5xAotN8o4aG3b0LweTTNFcASDzkRpM+vfROAL2f5hWcOniX29VgPV30uHwqF1Gw29etf/1rvvfeenfhy3hEMnm4cuXbtmj788EP9+te/1re//W2rZS87SM+gSouogt99xPYwknujDZdyIorC8GQNhu931TFIA7zhe2ZaWmz04f+9Xk/37t3T1taW2u226vW6/uRP/uRC8vvLv/xL27312WefaXt7W8Vi0e6b4ODRm9dFb0y+dIvD991fXo+8zvm0BBl5EtmnfJ7UBdIvBwZfPuR6rInPrSE0e72ePv7445VltrJxf+c737FTSTc2NvSzn/3MHpXrWUrfoebhs4cxnsRBWfh9Npst7LLxhIIXtM9PGEQLX4Lxhr7cWecdAcL2UFM6Xfxnz57p008/1V//9V/rRz/60crC9WM+nxvxUiqVdPfuXZXLZXuWFA7FNyww12ViBaIP54dcfB7tH7GzDFc9MvA/S2d9097ogYy+Q8vzEcjJG3wgENDDhw/16NEj3blzR9FoVPfv39f3v//9C8nv3Xff1c7Ojj3M/smTJ/rud79r0N8jGp/usMYY5Hw+XzhnzvMUyGo5cvrfkZXncfhczz34ci/zY98A60lk9wHKByUfzalC7O/vryyzlY07Foup0WhYrRg2lS4kBAhbyY3iiTy8wBl4b4dR+5zOQ3YaMZajmy8ZeDbce1lfk/ce3H8Wn+fJK+mUSHz48KFevXql4+NjvffeeysL1w9qq5FIRN/85jf1n//5n3r06JHtlvMy8yVAH9X9dz/nYDC4UBnwjgGl/LLyoUcFyMMrLuvEe1BC/14Pxz3yGo/H+u///m81m007EOH58+d66623LiQ/6XRnYiQSUblc1t27d/U7v/M7tleAeXjCCQckaWHuGORydcdvwYV/IHWEBF7ml3zw8qQkgUQ626Pv0aN3QEB4z3MsB53nz5/r7bff1ne+852V5XWu/dztdtsepZtMJlWv1+0pn57IAnr7Ug37jaXFMg9GjJCIFsu5p1c6/zfvRLyB++jCXPi/j36e1SXyMDc8N+W/RCJhx9+ed1Dym8/nunHjhqLRqCqVinK5nG7dumWtspIWSBbq/pKMgEEOvtnBO01ySx8BpMV+BGTmIxzX9tDSKxqv99HH9wF4pHRwcKBnz56pVCppNBopm82qXq9rd3f3QvKr1Wp2ssn169f1r//6rzo6OrItmxBeOBkfAKRFB4YT8Md/EYB8MPEbl6jeeDjPmuA0qH/zPDovZ2TPmnlHjXEvrxfzHQwG+tWvfqXt7W391V/91coyW9m46bnlIfe5XE6vXr3SrVu3Fg4D4IutjeylxStyAyiP3z2E0SGUZSbUK+nyz954gUA+Qi1DcN8F58kh/7m8n62G+Xz+whsfyHshCIvFoobDoV6+fKlYLKatrS1rbcXRUP7wjK1HOr4zj22QRGvkiXw83PROlu8+0vuc2jsOH/G88/CyDQQC9gzy6XRqR/zidF68eHEh+VWrVUs3QDp7e3t2/LJHcdyrd/CenOI+vGFj7CAfGG0YcNqW0Rtk4IMUO77gL7wus6aeF/GQ3CMkjyDn87keP36sWq2mWq1mDytcZaxs3LVazRa01WqpVCrZRSngcwPcBL3e0mK92QvH59wICVZx+UhaXu9huBeS99jMxUdm8hZvKLx/2bAnk4nVJbvdrvL5vPL5/IUjD5/Lgq2vr6tSqWg0GunFixeaz+f2JMhAIGBRAFYc2Oh7730zkc8lfY7tSUSfk6KYPjJ7LoS58pmgsS+D9Z6Nns9Pd589fPjQUjhOHtnY2FCn07mQ7I6PjxeeJJJIJLSzs6Pbt29bS6dHZp6bQfYe8tKg4ok4n3LQm4Fsl6s6vM4Tb55v8ASZdPYADJ82+LTHN6n49/Z6Pf3iF7+wmvnz58/1x3/8xyvJbGXjZj/tbDazn0OhkF68eGEdPeTNeDuEuNxY4gWGkLhRPscz6l4hJZkgfN81f/fKCoFEhPMwFKjOXPz/yO+TyaQqlYra7bYde3vRDiuef8bhjbQhksbs7e1pOp2qXC4bFEcmQHRPuHF/y4QWnt9vpkCe3hFIZ0cjL8ue03bIN5GJdybeIIg04fDpQRiPHj3S8fGx1tfXlU6n1el01O/3tbW1dS5CyI92u63NzU1L765cuaIXL17o4OBg4ZBNCEY/d990sxwUIAzn87PHK1E18LpEh58nNRmQczhePzyhB+LygQenw1p5hxEOh/Xq1Ss9e/ZM77zzjjKZzLmCy7mMe21tzaBMNBrVtWvXtLu7q6OjIxN8v9+3hfb7oj2zi9CICsuH3LPrbDab2dlty3kkUYbo6plbBLa899cLzntfT1ZxCgsbKA4PDzWbnW7B7Pf7KhaLKwvXj06no2DwrOYZDoctxSEqc61isWi5nCeL/OYY6rHSmbPzPII3dgzCIyfkQt0bSO+REbKGXPJlNpwhzgGZ7u3t6cGDB5pOpyqVSkqn02q1WpJONx+99tprF5JfKHT6fOoXL15oNBrp9ddf17Nnz/TixQvr40Y2kmz9JRnJxRp7HfAHNyBP/6gfH0iQoT9G2vMfPuJ6pOmRoZerr8mjj57MlU4fEYXs19fX9eDBg5Vldq7202QyqVarpXa7rVAopHK5rJcvX2p3d9c281Mz9E9j8Hki8A5mHG8pyfI1uoY8nPQRww+UGshNjk89mp/xzMsMOdclH8OwqSuyhY/nQG1ubq4sXD/YG8wWVUlaW1vT8fHxQj0U8o6dR8sG7uGxP0XGR2r6rlFwZOOdH4rnjyvyiuq3xPpcFUVljzeONxgMqlar6cGDBzo+Prb95uw97/f7unr16rlOEvGD47Jgrjc3N20H1vb2tjY3NxcILKIoBx6w7sv8ig9W/M+ned7o/Od77oLqgEd/vA6C1geQL2vc8qSudxwvX740/adnYdVxro0jPLVwPp9btxgnSrx8+VLXrl0zmMmBfbTycQOc1oIi8kgblIz2ToQAZPLRB6HjWX1u5MsUeHN2JkmLLCeL6B8kRyUgEAhod3dXjx49UjabtXsvFAorC9ePZrNpeSnyzOfz9ndSjJOTE+snYAOCVxgUiUfD+jIKjgwlw+N7Q/8/DV+aIcfOZDJ2Ko5v/cVwiGiSdHh4qAcPHujly5emH8Vi0Z7RXa/XFQic9WCfdxSLxQUnE41GdfXqVX3++efa29tTLpdTKpUyPZJkraagEoIATp7BfdDIAqIkuHj0x+AzpTNizjPy6FYsFlM0GlW327Uc3+f5y7wP+s4Z6i9evFAqldJkMlGn01E+n19ZZisbd7lcXugqY1MBz9euVqu28wWBYjQohWdbibhsl2Pnkm9W8dCZfAel8l4W4/X5Dn/3i0I3mI9YbApgwwBsZ6/X0yeffKKTkxNtbm7accI+1zrPmE6nFh1wTCAEHAvP5x4MBtbDPBwO7SQQ3/kE0TcajQxGkguibL43QFpsL5XOIpw/SZRoFgwGVa1WbR1oVoI8Ag2huJ9//rlevHhhx1IXi0UVi0VtbGzYXnaeInqRsba2pqOjI+NzxuOx1tfXdXBwoKOjI62trenq1au27ugoebU/4NBDcHTM6w5y88GFVMcjHgKEJ4Vh1H1gAUXSxOWdBDLncyi5RiIRPXv2TMfHx9rc3NRsNtPh4aGuXbu2ssxWNu61tTX1+301Go2FvCaVSqnX61mujJISYbzxSFooUbGfG6F4Y/RlAemLLZaeDFom2yCkeCqJr1vzWd6AODgRIzo5OdHOzo4eP35se3RzuZyhlosOHIffSphOp1Wv1w12cSqnP78LaIky+cck8TqUDmfhZeZJJJ8icU0vm+W8MBo9fUAga8F2RyJ4u91WtVpVpVIxvqJQKOi1115TJHL6NJher6dsNqtKpXKuJgw/PKuMk0smk/ZwPh6hWywWzRA9z0JwoMeblMdHaORAxcajAB9YGB4JLcuRo8BwnjhZdAgn7bcWk6YS7D777DPN53N7GEKtVtONGzdWlllg/lW09XJcjsvxf+34aufNXo7LcTn+rx2Xxn05LsfXdFwa9+W4HF/TcWncl+NyfE3HpXFfjsvxNR2Xxn05LsfXdFwa9+W4HF/TcWncl+NyfE3HpXFfjsvxNR3/D5cTYqt66wIyAAAAAElFTkSuQmCC\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 24:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 28:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 29:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 31:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 33:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 35:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 36:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 37:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 38:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Cluster 39:\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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Iwg2Grj4RNp1OzSKj3AiLUf4+meQ3GR5p0JjVajXbrPl8XvF4XLlczu69Xq81HA61Xl/Xj1Azwca9vLzUeDxWuVzW+++/vwEZbes5ek/Y4/ue4YQi8fUjnsVDQtC/K79DocOr515BpcHCYEPgBfGOQQiMBTuZTOwa3sBLm9Edz+tzPBiE8Xj8Rgl9b+BY/DynJxZ4aMArF6IInn84HCoej6tarW5Apdls1pwKYF3pxjNmzfDeJKuXy6XBwtlsVtFo1AwJEIX36Ov1uuWS2ODeceJ+3NsnfLcdQ2jGw+HQFAlQFQp9sbiuuyGHihHhPdfrtZrNpim2QqFgtRTtdlvtdttg7Xw+r3K5vJGE97A6kfB0OjUkZDqdqtvtqtvtajgcajKZbEBj3jljLsitYmSi0ahqtZoymYw5a36dbyNED54yzTpgXCKRiPr9vmazmQaDgfr9vqbTqTlt8/lcnU5H3W5Xy+VSqVRKtVpNkoytiiGGjUaNERFtEIJljPr9vlqtlmazmdrttkVHwGVEfV6XFotFIzylUikVi0WDEaPRqFqtlvb29mw/3CV6vlPkslwuzXtvNpsajUZm7VDO6XRapVLJBoEN45UCiqhcLpvR6vV6tsEIY4OhOPch8mGTYsXT6fRGAioajW54p5HIDV2QzYvi4/1Y8N1uV61WS6VSSbu7uxtwwrbik8L863MaHl/Ge2QTSjI823tDGBYwUuoT0um01uu1bWqfAPSwAQoUI8T9GIvBYGCbBGWOt+bhLh/KM1ceUolErqne20Yu3nAxXh5CQrms12t7ZknmeEjXG7FSqeidd95RoVDQfD7X+fm5GVqYhh999JHh4ldXV+r1era5WLeMt4d2+/2+Li4uNJvNdHh4qEKhoOFwqE6nY5Ac6zSbzW48J1EFYwY8hFJBoW2bs5Jkzp6PQnCs+v2+hsOhEXIopEQRAq8QxYBg4DyyN6PRqPr9vsrlsmKx2EZRNB65z0mhsEhGY3D7/b7a7baGw6EZNwyzj8rz+bxyuZyRgoDlvBPhqeDeEbmr+MgFxxCHbzabWUoARY8OGY1GFrkCB7LnCoXCxv4l8vFQuHc8fFSOMcMwM1agOaPRSMPhUP1+3/QaTrl3/NbrteVwJVkUylx1u11Vq1Vz2NBHv01ubVwIo7PZrDqdjur1uorFoorFom2GVCq1EXUEcyy89HA4tMkmwU7kg5VmQBmAeDxum5JFTN7Ge6ooklgspnK5bHkVoDIWIIuejcsE4V2Dg758+VKVSsWMKte/q7Awggl8JhBDwObxMAv0buYBmIo5kWRKAoyU8NozwDyk4zFgrgN8wxxOp1N1Oh31+331ej2Nx+MNg8L1Ca09/OmjJeYQavi24mEovDAcHiKloEFms+I19vt987rn87kajYbG47Hq9bpGo5Ha7baePXumnZ0dpVIpnZ+fq91uK5/Pm4PSbrc1GAxsHb18+VJffPGFJpOJrq6uTFGWSiVNJhO1Wq1v5B7K5fI3ok8PrwBLsT5QWHi5265B8m/ALvF4XIPBQM1mU+122+AUotXxeGyOBT/znRDYq0BOXkFC8Sd/GkxsB0kEwGTB/Uithmcy+Twl6xsHilwBEZHvJnIXWCcoOBh8eTiv1Wqp0+louVxalT7j6iML72Di3AF/BksyqJlh/KQbQhVjFySleIga2A09gzOAnvBoCajRcDjcgNYZf194elv04U7GBQWGh/fgwQPlcjmDT7xh8QwYQmqsM1BCu922hDFsMVpNYLl5EZKBxWJR2WzWLDa0PuAbXh7L7L1+Pzl4NChFvLXhcGgLG09qOByqUCjYQtpGiN4kfcO4eOowP0dYJGCeLBjGlc/AxKHqGkUO3h2MLDwMRqIfrwwDg2KEHIER8hvAOxAsdKIJDBrvtlgsDI+/q+BEeNYbDKRsNmsKigrqbDZryeLV6oZZ2O/39eWXX5rHORqNtLOzY++yXC51dnam8XisfD5vG240GimTyRhV3Ud7zWZTZ2dn+u53vytJ6vf7Bo+wpoBkgISBMFHIKGPGsFAobDgS2WxWz54925qtyBgGmZer1UqNRkONRsPetdfrbVRyFwoFZbNZlUoli35QRlzTRyO5XM72M2xQogdJG7CLZ0JKN7Vzg8HAxg3EAdgL59LD1ChpumBIMmditVpZhPAmkYuPmqTr9Q6hCSeMCAWD6IlIxWLRFLfPI/siSZQ/BZ+lUknFYtHWv3QD77IHGT/0K2sO+Bxjkk6nrTMDDiZ6j3/R2UQvnU7HHCro5289chmNRsZK6vf7KpVKqtVqpjR5eTY5G8NTVj1kApyAt9jtds1bzGazqlarZjhY0MViUeVy2WAzDAF4qleMbB5JlpfJZDJG84ORhvdJsWUmkzGPaTabqdfrWX4mGo2q0+ncdsg2hEUZTOT6hLPHofFofRToITyUDNfg2nw/Go2MEZfL5QwDB9PFePsoBcoo/cAGg4G63a7NAV/MIV9BHNsnMPkeb5U1dFcJ5ojIVaTTaTO2kUhEpVLJvD3mKhaLWbK03++rWCyqUqloNpvpiy++UDQaNXppoVCw6JnxKxQKuri4UDab1cOHD2294Zig1P7wD/9QxWJRp6enxgoiIsWbLxaLymQyZlg81IoT5okW7JlyuazpdKpXr15tNX6SzPHw8JKHbjCuKCKeA6Xi82ij0UiDwcAgH65JtEIuoVKpqFQqWVTsGX/Mn8+F4Qh0Oh1zeqiFw8gB6fIu3iH0uUXKHgqFwgZScVvl+DrxBpLIFyIRUKInDuDA8r7oyfF4bPsMQhJ7iRwx4/e6djXMh++rBvRKX7j1em0RI9fDwHmiD445bDNPcmKvtVot7e7u3ilndWvjMhgMdHBwYANXrVaVz+fNaPj+QAwYi48oQJKFWiRA8cRbrZaazaYlsLD0eDkYHWAtJoxFBD7LQgMuYYCHw6GKxaINnDeAuVzOQk/gMz6L18+gb2tcMIKMF4oaaMQnrP3f+CjQb3C8SpQ4hkG6hgYpZMvlcpbQJCr09SHASzgCeK5sFH7uQ3XfNDLocftIBceC58VB2EZQdIT5PvrifWG1YDSBIGHFFAoFFYtFvf/++7p//76N5fPnz01J4el5hlmtVjMjOxqNVC6XjVI7HA51dXVla6ZQKKhQKJjiIOnN7+/du6f79+9bFEwEBMnEJ9SB/8gdTKdTXVxcbDV+kqxFEo6WhwVZa7FYTJVKxfaYh2uJSFkTRAa+joJGopLsnVlrkmyd4hD5KCQej2s8HltSGsVMDnFnZ0f5fH4j77lcLi23QM6DSGe9XpvRBCLHsdxGvCMnXefoMCw4aZCbcBzYa4wfTDvvlMCgw3AyHqxp/3mfjw1GK6vVyhpLoveIinFwMBj8jHsUCgXTxegkSZYOYIzJa95G7hS5wJTAy/dUP7zp0WikXq9ntSaEiIPBwBQRIRvQCf9vt9tKJBLa3d3VcDhUqVSyzsg+DPZsERgmvV7PvCj+HsUCnxx4wXs/y+VS7XZbzWZT1WpV+/v7pjSJzMCKoRFuI57d4ReJD7ODxgSvwUOD4PaE2yhRFgS/I8wlUsN78XgryhjMnHFEMQ6Hww1j4bFqTyiQNhsv+r/xcwWlchthPqfTqXlfr2MgttvtDfweyBQvN5vNWhQDXRRWFGs4EokYg8pTNZvNpr788ks9fPhQBwcHRqF/+vSpPvzwQw0GA0tI+32QSCTU6XSUz+f18ccf6+HDh5rNZjo9PVW9XlelUrFNiwLw7CgcIh8NbiPBYkLWCDlND9/glLA3GUeiHIgO1LuQLyiVSnYvnx9j3tlHwLoYF+7R6XQMJQFKA/Ly+U50Cc/LvPqaJzoHgEAEYa27Cs/N88Jm452IMCEVIB5NGI1GarVaxrRlXCFCgS6wl8bjseWNuZavjeKdPNIArCVdO5qJRELdblfn5+d67733dHZ2Zg0vyXdDiEDfesgeVIVr3VbulHNByUAv9GEy1DcGEat8cXFh1fKEZnhOeKIoUeiPWEkwdQaPBcmG8FFSKpUyD8Dj8dHodeU+mHm9Xlc6ndbJyYnu37+vo6MjxeNx2+iJREJ7e3uSZHRS6abKetumd9JmgaRPePv/s9ig/PkoZj6fbzDhvKdDshC82RMToGSThMTb8Q0DITAwdz43Rd6CsWcjcQ28IE879waQdYIXto0QoQBpMf9ENGwuMG8MZL/f19XVlXnV6/Vaz54903e+8x2l02k9e/bMHB/gHxhekiz5DoSEwYnFrgtyLy8vdXFxoU8++UT9fl+/+MUvLFL3ecZ2u23eqHSNBJyfn+vVq1e6uroyOijj6HNp/IwNvq2wNzw93SfguQ/t4zudjhqNhq6urtRqtSxKKxQKOj8/12Aw0P7+vjKZjFqtlqLRqPb29sxoYLyBaEAqgvlZ6LlEATSZbLfbFoHX63XF43FdXFyo3+8b2kAOAeVIuQTOGUZuNBqZo/Amwnrj+VkjRAaFQkH5fF7r9dqUfbvdNmQGY/nFF18omUyqVCopHr8uACcdAPGISMSz7NiD3rnEeR8MBppMJnaER71e13q9Vq1W049//GM9efJEH3zwgT7//HPN53OVy2XrM0eETm0fUQ8GjPv53PFvkzvVuWD1wYxZrGxg6doburq6MqtM9X4qlVK1WlWlUlG9Xtfjx48N32VBwE7ykAKJV+mmqI/wnIRZPB7X8fGxKRPC4729PaVSKZ2dnZnBwkBQAHpwcKCHDx8ap/vLL79UuVy2zcE7etrzNoL3jvLFS8Zgem9oMBhYZCFdR41w53d2dqwO4Ac/+IEZk0KhYAoR3BvmTa/XU6lUMk8k2JkAqMG3k8GDJ6fR6/UsCiHZS5M86aYxJ2sDw+ghFeCCbQRY9fDw0CI0jCdz62m0ntnYbrctD5NIJPT111+rUCjo+PhYqVTKkpeS7G+eP3+ui4sLg79wjo6OjrS3t2eQYq1W0/379/Wzn/1M7777rilscjb5fN4SvV9++aX+1//6X3r+/Lk+//xzrddr7e7uarlc6vz83KAM2I04BvwsFotZE8JthL0C7dQn50EiJJkyf/78uc7OzlSv163T7ldffWXPHI1G9d5779lcDIdDtdtt3bt3z9YSzqYkQwBY9+wloCHgzWq1qouLC/V6PX3wwQeazWb627/9W33/+9/Xs2fP9PTpU8XjcR0dHVk+Ip/Pa29vz9AOoFigKiA+osNtBeeQ92OumR8QkXa7rZcvX+rVq1fmuIIunJycWPHkhx9+qE6noy+//NJYejjU3qElosVo+rIOonTpWg8cHBzos88+U6/X08cff6wPPvhAX375pRKJhKE7rVbL0g7tdludTke5XE6Hh4c6Pj7W3t6eGUkQFSC02zrYt97pPhwihMZ77PV6xn3/1a9+peVyqT/6oz/S/v6+/vIv/1JfffWVGQQm/6OPPtL5+bkuLy9t0LkeXVEptMRb8IwqFghc80qlYpg4CrtWqymdTqtSqZgXQHJ+f39f5XJZr1690rNnz/To0SPt7Oyo3++rXq/r3r179s4YtCD98S4SpFACb3m6rocp+PvhcKizszNj8+TzeS0WC3U6HcshfPHFF4rH49rf3zcYECgCLwc4BC+VzUAkilfHGRrM6c7Ojn7xi1/o9PRUo9FIjx8/tjYdjx492jAWMHx2dnaM0cc8YWjehAZ6eHi4wQQiauVQLd4xkUjo3r171iMOD3i1Whlf//j4WB9++KG++uorw6Glm81Jiw6M6ng81v7+vh49emTtzWezmQqFgj755BP92Z/9mZrNpt5//31dXV2p2+0qFovp3r17Ojs70/7+vhqNhjqdjtbrtU5PT3VwcKCTkxPFYjF9/fXXRmPGKWCO8MBBC7YVolwMCwlnIttIJKJWq6Vnz57pyy+/1OnpqWKxmKrVqqECPOuDBw+si8Xu7q7i8bjl6DjvJOhdo6RY56xN8gWJREI7OzvmaedyOb3//vtqtVrKZDL6/PPPbR1S48I8SdLp6akePXqkR48eqVQqKZlMmgOKogQG3kZgaKHYQQo48E+SRXdPnjzRl19+aY7YcDjU4eGhfvazn2k6napUKqlQKOjk5EQnJydWu9bv97W7u2uRKuUd1BR6JiYMRKDvbDarx48fm54sl8u6f/++dnZ2dHR0pHa7rb/4i7/QeDy2A9jeffddvXjxwlIDUNHJU8IQJFoBsbiN3HqU8Wpg/YDTk8/wDJoPP/xQf/Inf6LHjx+rXC7rv/7X/2pK/eLiQg8ePND9+/eVSqWs2SQKlsHCu/eJP9/Gmoktl8tWa5PNZrWzs7PBp1+v1xbqMUmpVErvv/++7t27p2fPnunJkydWTHf//v2NJLbHiv33dxVf1AVuCuOJjc718cbBjfGA2+22fvrTn+rk5EQffvihdXEejUb69a9/rel0qgcPHpiRpEEoXrn3ePCy8F53dnaMOkrB3Hq91snJiT7//HMVCgW9evXK5iCRSOjo6EjlcllfffWVms2mQRUYYt/fCVhq22QqdSaMCxEVihKcGy9/Z2dH1WpV77777kYuDgN57949ZbNZi0Kg3y4WC2UyGR0fH6vValmuhXtUq1UVCgXz5CKRiKrVqh4+fKi/+Zu/0T/6R/9IZ2dnG9TT3d1dq3IeDAaKRqO6f/++7t+/b2t3f39f0Wh0A0JCOaM89vf3tbOzs9X4STf97XzBLXuW/NFnn32mn/3sZ2o2m4rH4/rggw/09//+39fZ2Zn+/b//93rnnXf09OlTHRwcKBKJ6PDwUIlEQqVSSZ988onVvwElSput8T3qwNqn9xVODvP47rvvWg705OTEIPNisahCoaDDw0OtVis9ffpUjUZDl5eXFiV9+OGHxv7EMEIqeROJxa6P+GDv8KwUgj979kyfffaZvvzyS/V6PX33u9/VBx98oP/4H/+jisWiSqWSRqORRblHR0caDAba29vTo0eP9OLFC9VqNTPkQZIPUaJ0A9WzTmDTwbw9OTkxB2Vvb0+NRmOjV1itVlM+n9eDBw+0XC7VaDTU6/VMF0JOIJeFM3BbaPvWxgVYBTYNnjfYvi/E++yzz/Qf/sN/0He+8x199dVXxi4Cyz05OTF89fDwUMlkUpeXl1osFuYJ0emXa8IWA2YhyVQsFvXgwQO9evXKmA2LxUKFQsEm5969extFQYSy8XhcDx48sJoIYCI2Nzg0+Y83oTCCdYOt48l59gqRDdFNJpOxZG8mk9H+/r7m87lKpZLeffddHRwcWKKeyvNnz57p6OhIu7u7isVi1rMNZ8CH075e5fj4WM+ePbPjb8mNlUol3b9/X6vVSu+8847BAUR+pVJJlUpFjUZDg8HAijfBjYlGpWsHod1ubzV+jUZDlUrF3gMvHG8Op4N6KPJR77zzjsrlsk5PTy3XRx0MUUkymVStVtNyuVQmk9F0OjXsnCgRI0+OAqiPdf3pp5/qf/7P/6l33nnHktGS1Gw2VSgU9N3vfteUIzUj4O20VDo4ONigweMlku/Z29t7oyJUSA84HPl83phOvV5PX3zxhX71q19pNBrp5ORER0dHOjo6Uj6f16effqoXL15oPB7r6OhIJycnGgwGFvmg8A8ODqzYFEcJg4KT48sSUJ7xeNwi8UQioUePHpkzkUql9O6776rRaFhOp1Qq6eDgwKDYy8tLXV5eqtvt6unTp5bgBzYL0vu3EfYnuTkMVS6X02Qy0cXFhX7+85/rxYsXSiQSeu+99/T+++/r008/1XK51M9//nO9//77SqfTOj4+NugLI10sFq1pLqgNugcnwNeM8XnQD/Tfzs7OxtlanU5Hu7u7+uSTTyyvKkk7Ozsbunk4HBqaNB6P9fTpUzPy7Cdf7Pvb5E7G5XXFfYRPy+X1Wdt7e3tWjfpXf/VXmk6n+uCDD9Tr9ayWIJ1OG24KM4czVh49eqSTk5ONM12CHHvpxgtKJBI6OTnRYrHQs2fPjC4N24zJI/IhWY/nwalykswrxwvGuABT+dqZuwp4N3g63g7KbLFYmMEDBiEBjgLHwyNPhLdBBW0kEtG7775rXlrQG5Rkit6/RzweV7lc1uPHj3V+fm6U4WazqX6/r08++cQU7mg0Ui6X0/7+vtLptIbDoarVqr7zne9Y0hrDwimFwYTuNrJardTr9cyx4Z2gNns2nv83lUrp+PhYtVpto8YJ54bP4eFhdFh/z54902KxMEiKhLNX/PStOz8/12g00tHRke0PnJp8Pm9tkTy8AoMRZ8rXHBABQlbwOa5thfv5vlXdblcvX75Uq9XSycmJ9vb2rNQAJ202m+kP//AP1Wg0JMlqxubzuRWXEg0FWYVB1iB7ibXA9xQqj0YjY9/Rq+2jjz7Ser02llUmkzGK8u7urt555x0jSPR6PV1cXNg+I9JET/EOdxUcT3KRQFeLxUKnp6f68Y9/rMvLS1WrVb3zzjt68OCByuWy1uu1/uAP/kCpVEqtVkvpdFrlctnaK8ViMTMuODToPiRIPcah96dC+uag1GtJslzso0ePNJ1O1W63N9aBf5ednR3du3dPg8HAulWk02k7Jto3t/xtcidYzHseYH7UT0CVpFCMTRqJRMxTxOLCTSdpmUqltL+/r8ePH2t3d9da75NvYWEGYSo47el0Wg8ePDCP77333ttgZwDHkG8gfOQe/L9SqdiElMtlM4bSZguabQXvGsXo24AAA5LzocKequSjoyMzslQbs0iq1aotTIwT1Et6q7GxeR88OBTuer3WwcGBERro8QaU9p3vfMdYeCx6WmugQL2RhnkUjJLehO1EuE9iEQ8YGJRCSs+II5FLTskX0bF2fMNDcOZCoaDPPvtMn332mY2xLwwG4iRSoobE04UZG8aayArIAQeAeaELA+Pl4RA8WKi+2wqEi2q1agnkxeL6GOBPPvlkg+zB3iB3B0NRktFkgRHZV0T/qVRK0+nUEAbPMvQRO9GNp0IzNz7qIJdGLzEMh+8pl8/ndXh4qOFwaC1+Tk9P9c4772w0sRwOh1uNHXrI1+Ysl0udnp7q66+/Vjab1Q9/+EPt7e2pUqlYvZB0TUh5+PChObeSNsY0Ho9bZM7aQp8ybqwBYHT0sCSjEO/s7FjOGVSCSKXdbluOyOttCAnspYODA4PmcTBbrdZGKcNt5E5uuG8/AGuBcAzvTbqxsiwovEuPs7J4JdmLkoD31cueAstgMwGwUbg3yayrqysdHh7q4ODAEoA+cYiiBeqgCpbFiiLEU/W4rX/Pu4pX7Hj3bC4WDBFCvV63XkkoHgyrpy4T/eD9STL4DWMTiUQ2ivPIQUAH90VsQHZegbMh8Yx4Ljxv5gUKJBvQh/E4H9tCi7CzYG35/JSPavEsUWAYHOadpLHPB2AUvMI6PT3Vy5cv1el0VKlU7PkhhaBg1uvr5o8kR58/f679/X2D6rimF08RZ6/gYPA51ji/Ix9z7969rcZPklGdKaYlb1WpVAxiZSyCjhxMP4wLEZyHj/2Y+L0KPMM8sB54P+aMeeQevgASp4SxxEHjGWn7c3BwoPX6uiAV+jQkGe65rYOI4cMJhfoei8X07rvvmtMKdB90bmjnwvhBpfcohh9zD79Km9090E846yh9yjJ8sSpGv9/vb7w/Thg6GWfUd904PDxUq9XagBJvSyq5ExUZvJaaAx+q4bHAZPBV1J6dRKKXn4/HY1UqFWP24NFjOPACUWYoCx/JADEkk0m99957KpVKOj091Ww203e/+92NrqAemioWi9rZ2bFwj0Fm4H1lPMpn2wpzT71kIjFkPnLJZDLGwsEI+JoTFq1PqrGZIR1IsogIvNYz8oBdPB1ZusHkGVuYKng7wCD8HmXNJvJKBvG1LiTgtxHuxbuyVrxSlm7Oeef52KQ4BSgxIm/GhV5OYNR0ky0UCtrd3bXI27OcgCcY13fffVfpdFpff/21isWiHj58uEHWYBwYZ9/Ch7nzNG5YVb6OaX9/f6vx4925B0o9FotZ7yrPymReGW/PlCT/yJj4eifmJhh98d4YS56DDgZAQexRHAj0DN49a4vnQ5egT3gPavGA1fg7SVtDi0RH5XLZ1tZkMtH9+/eVz+dtXlmHnvwTjUbtrBUcBRiV5Fe98+iheHSSd0bYa6wPIkgPB0M+4LNAZRhJ/u/LShhLDD+5FhwqzwD9bXLnw8IwDoTTSJB2yiBIsnAWb4bIB6wRaicvjGIPQglcl7DPJ98ZmGQyacnun/zkJ1qtVtZEj8WFsaPvFp4D1hpF4CeU8122bbxISAstmKiNe/pxBlYgcegVAePrPXTppqke3+MAeKiIv6fIDzyde3g6OPkHOO3MiyTrYE30FDR6KHcfFVClvi1bDCIDOQiS5tyHvlIYbc8sBHbxtVEYCF9MFolErEnl6empdnd3zbCQg5FuzlrB0/atifb29jQej/WTn/xER0dHlgPEyHsngb3gFTf1MRgfqKHpdFrtdvu1faZuK+wx9pJ0k6T2e4N1gOIH/uGZ/J70dSTQ2KEKSzfetoe8iKARX/tFctzX9kgy5IDrELl46FG6cR5Yl+Rb/Htta1yAQRkT3pnoAyPKOHqdxToBSvYKnmcKFsoy7j6K8Q4Tzg3vizHgWAQcUM+c9XqW4sngevDQG//HkbgLsenOh4VhkT0M4xWG94K9F0nkAXaIRazVaspms+aZ+bYsDCDeiK/X8AOFN8zzEZGsVit99dVXNriEi75xoDdODK4P3/kdkUcQ4rit4F1THMrCQAEyVihPNjFhsYdRCPNZcBhISdbZgEJSX6Pj58xHZX5+wNcp8trd3bXcDrCZJ1MEiRbMu3RTEU5E+CYFgP1+3+i8QLIoNq+QWQd+HUEk8N2fMdwcp0C+q9Pp6MWLF5JkUQKsNO+5+80aj8e1s7Nj0Wa1WtW9e/f005/+1KBakuI4GVwHI+PzcRhCFISPet4koQ98whyjQKQbyJo1xrrxistDZiguxga4cjgcmkHgXfnewy9+bXjIlPnkM+xR6eYoAgwHxpnn8JAcgiEkIkKPbStcH50UjFB8PoL3xxjROoa9I8k6eksymNKnDohMvD70CIV3oNBPMCjRK4wLzqDPDfK74D72MCbPj4546xX6JGe9h4wlRuER3gYNgyT7GUlUkoXeg2dgMBa87Os2tR9YJpzKXP726OhI6/XaGuEx2CwI/1kUq49a+DmQG0ZtG+E6bGJvpFlMfiH6Bevpr/45PXOKXAhRoYfTMAZ+o6Nw/cIBavJ1LkCG4MsocL+JGC//3CxEFjmGbtvx8weNEWFI2njG1/Xn8nCZdMOowSigOIG7rq6ujLqJEiHCY5xYFx6SgUJPl9wPP/xQz54905//+Z/rH//jf2z5CmDjYI6IcYNA4duL8LcYhW2F9c+hVYyHX3s+/4OC8bkgDIEncARZlRgEcpw4Rv4+PiIP7kMMKmOOMwacydhgLH3djnQDxTJmXIc9cFtYJyjoMOmGBYdS9oQhr8gRIlf2P+OOPmSMiP55b5xp4Hz2EuL1AuuGk4IZY1/P5HPhFFvjjBFReQfbQ5qSNt7pt8mtjYsfuNlstuFBBRUZL+oTUkwyngkeBQoAaIEF5g2Zh8O84mAhv+5+TChMNarHPTbroS/vHXhjxn15lm0T0r5/mn9+FhfX91AXixSoBzjP4/iI90gYL7xTH/L6jcYCZF5RkvSIYy6JjKbTqUVEPBtGMpiAJLKAr0/OZVvJ5XJqtVqqVCq2iShI5Bl8cz8fdTJOQcPtx3o+n6vVatnBYKwHClgx2tJNFMq44g3v7u5aw89Wq6Xvfve7+su//Ev9xV/8hf74j//YlATKwM+zdAMXeWfAN2KNRCJqNptbjyFz43NWREmMB/96BcMzsi/4mYde2NN41UCAjJdHG4C1PbRLvpbIypNB/Hzxf9afh+18RODfwf9NEIa+6/iRowxGZT4lEEwLsI88bEaOiWcm/8J9vBL3jpB32Px84XjA7vMM0VgsZrR4iDHsEfSZd6jRjT4a9Pe6rYG5tXGJx+OWjJJuvBXgLP/ifgC8V4tVxmozQOv1zXGrWFM+4zeDv14QfvGTIG16FvSLIuHGPRlIFK6/DuITxsvl0hJkdxVo0r79BBMHZOeVvOe5+/fm/97r84s3+MVGYgESufl54W/i8et6FyjcsAEZbwwhipb38HPA+HmHAE+MhpjbyP379/XkyRPt7u5azQpevsfwvffqny3ogSEowkajofPzc6stms1mG8fmslbIz0kyWJH7lstlO2Z2tVqp3W7r7/29v6e//uu/1l//9V/rww8/3Eji8ox+roBPPGWfqPttCKeJsh+8QWaOcYA8FM1+p16EWiwS0UQcFP75KNUzP4kw8KBZzxhuHCSo2iASJPalm2gLYdx8Mpsx9vvFw3vbCMgM/wYhMZ5FujnSHL2B3iGqw1n3PQz51xt8D79isP2eRljH7An2HL+jjor5YD37NIM3/h6mZ8yDUdNvk1sbF6/gPGvAe9Leew0qNSIVv/kZAIrhgh4BxoCJIemFIeLFKVjjxbm/944YYG9EvEfDc3jMlonivVar1dZ5A9+plQXmQ02it6AB9QYPT4Nx9F6ZhxuCEQpRIIlQnwzlGZifnZ0ddTodXV5emlLzuSHPLmORegjH52RQ/ODHbyKFQsGovih9NigQH/f1a9EbaQwM/zI+nMTIZge28mw6HACcAD/2RAR0taUVPS1Q/uiP/khPnjzRT37yE6OsesPsN7aHkDy0Eo/Hre3PtoJi9I4FzhfKnHXkK+q9Imd9MQbkXFD+QDA+pxOJRMwI+RwB7YlqtZq+/vprc2goAqTlkdcvnpnKnPKMHq73Chtd4bt9bys+h0nkF43esPl8Hhfx65/x8PkfjDZ/5w0tn+FduS/7EiMHQgCkTU6R+7NGffTsa9E8auPnzUejwG23JeXcybigtMHx4MV7a84g8HcoL/6en/uwlZMSG42GJbRYvN7joC4lkbgu1MTCRqNRO+DKUyRhTUg3sJ5XMAy8n0QfFfhwnu9brdZth2xDYDTh9XkaK2PGuPLe3oD6BevH0IfQPi/goRYULhsN4+zzD8wRVEuaU2JgvCL348Q9/DgFi/98xPAmeDdV4M+ePdP+/r4ePHiwoZhZf4yBNwD+3jwjJxVeXV1ZRO2bRkKS4B344prB/7NuC4WCnfVBYdzjx4/Vbrf15MkTK7CDXuvf0b8D80OvLgzhtgLkhhL00Udwb3rIjvXkYSyv8DA2KDqYeySrp9PpBuzNIYJBogmRO2c0QYX39yTy9rR+71Qhfq68Y7Rt5Myc+G7h3mlljNCR3jHwDg3fe1IDz4rjCKHG53jYm+wtD1NTF9TpdDSfz+1QLxL73mHHqQ86DPzeO6pBFIX3fetFlNzEY6mSNm7GAnudBfQ1HSxwLHUul7Omklzn8PBQzWZT3W53Az5YLBYaDAbq9/vK5/N2BKp001XYwxV47QjKG4XIc/pNxMLw8JF0rUS3NS6STFlDOQzCep4hg3L2Bt0b2+Az+2ghmPRkzJkX4EkiJb/hMOAwgKBOYsR4niCM6Jk8/OtpyN4AbSOz2fXZKNVqValUSpeXl1ZjwAmjQQPsc3Y8K0aFg6nm87m13SGyjEQidkYI74JH6uE1v3b8u1FFzqFX0WjU6jbI63BAlM9F+qgTz5TnpyX96enpVuPHuzNfzM9oNLI14CMaH50FIVY/BpFIxKA28ngoSU7kZLx9ryveJxqN6uLiwujHxWJx42CyoDJ83bx6+NgnpD1Zxud932QNemKIzyeC4Pj96GF/xpVx9rCU/x1oCXRkn7/a29vTcrlUs9nUarUyA0Syn/Oo1uu1HT8RzN94I+EdaISf+1xLEGr2DtH/Te5Uoe/hGiArNpX3mnkJv1E8xBNMRq3Xa2OwwHOnkeDp6aktQjZDLBZTu922Bm0wYBgATs1kg3ovnmf3MI6HlvwXv2MhQ/HdRki4+TwBnonfOEE8NQh7rddry4V4z5wFSQtyFrGncgaxfeaG3zFPOAwog6BR8F6YN1rBxK1XACz2bXMH3sgBNw0GA11cXGzAqr4w0of0rAW8QkJ7lD9zS8sS3z3BQzlcm7nwBtxHiblcTqvVyurByNfQrBKDwZr0xW2sBcaLvw0ykO4qfh34PQHL0EMhrAWUF+/nI1bGYDqdWjTB2SP0YhuPx9Y8lSORqSXi2r1ez5hRvgtvt9v9xrG6rF3EPzNrl/ny+Rz/fttGz5zEiNNBVO/1oh9bnEXm3+9h/x5EFzg3OMjU5nHoGGuy0+nYGUtEdsvl0o5sJwLv9XqGCnldzd5n/IL724+ph1F9zdJt5E5FlDwYmJ3vheQVoA+fPKSCEvRGaLFY2Kam/qTX61mEsFhcny0SNFTQaIEfYrHrcydYBBgP7uUhBxaEV+ReWQYHkBAcLH0biUajdv4INT4oFq+I/Xj7hYriJkoIRg8spk6nY5sAj8NfAwVL9OSLwvyCQnGiMIlAXhc5ee8nGEnhOHBY0ra5F66HUSiVStZeHOXkcy8oGRL0PloFHvREA5pDLhYL68zrNyHvHYx4vWGhjsV7k8vlUr1ezyJCnzPAm2fsMB7eiMH+YY9tW2fFOvARvd+T0g184yM172kHlSLX8Q4PHjfsuydPnuinP/2pNTtdLK6P04Y5mEql7Myi+/fvK5G4Pl4c6JLoAI+atSVtlioEnTH+z3VQwG8SPftzZ7imPxXSR37+C13onUkfFfKerKHJZGLOCMZmMBjo1atX5qjRvUO6jqjodjwajVQqlRSNRtVsNg0Gj0RuTs/0e5Xx8w5uEF4MQu23lTsZl2DSx+OdPgfAQ7BA2dDeE3rd2SIw0trttn75y1+qVquZ5+FhHjZnIpHQ1dWVLi4u9PjxY+vx5BW1b20g3YR2PrfBguA9+ZdNzoS8iXHhusAG/tqekcN4+PGWNjHkoDEC6un3+9aBmFoBlAf3YFODQXuD4t8bz9knB/3fBJlO/uf+iw7EdEwOsmtuKx6y8pArbeNpn8+z4AAFIQqS9IwNLWnwFiVtQEKeCcm4BqMH5pIKdg/LRqPRjQP1PGmDXIfP8THGOAjALSifNxGvWP24IF7hecfrdX/r3xvhXefz6xb+z58/11/91V/pxz/+scrlsr7//e/b8cX0r1uv1/r5z3+up0+f6oMPPjCEgn3rCUM8D8/io+bXPW8QrvR7eVvxjioRXTB35KM/xtrvs+CzsT+ZY2DF5XKpfr+vs7MzaxxJpDcYDLRarSxX2Gg0zEnnVFGMvq+TwxEPjoGnfvv1EtzfPnL9bXJr4+K9ZW6A0fCVpJ5mG2SNea8C+CoejxtVeDwe68WLF/rlL39pfcHy+bwymYwdm0wSkvDwV7/6la6urpRIJKxHGVGVdNOZ1oeoPgLjWf1i9V430RnewbZFbDwDiwc81EN1KDEPWXlP2XvR0o2ni+ftj4r18BdeG9X7PlEq3dAMmROuN5vNLG/ANT0Mx7P4L4wAzz0YDHR1dWVOxbaQBOOOV42CISfiK8bZ5KxHvwbIz6EUqSPxTU29YxGEBIDegM98JODf3XuksBmBOYKQoo8wvRFHaXItrv8mwrr20Sn38kbYe9y+I0RQWbNeiZSBvBqNhn70ox/pxz/+sTqdjtLptDkqrKtY7Lr31ZMnT9RoNLRcLvXgwQMlk0lbc9VqdeN+vo7FK/Mg+uANko+2fCHwtuKjSw/3+/nzEVbQgfW/9/uG/7OGRqORXr58qR/96Ed6+fKlDg8PdXh4qPl8rm63q9XqOrG/WCz0k5/8RN1uV9/73veUSqXsIDXmhygdnUt0751/9ERQx2PseL/bOjm3Ni5g3gxAcBF6nJaBlm68QD8R4LT9fl+JREK7u7uaz+d6/vy5fvSjH+lnP/uZlsulDg4OtLOzo3w+r3q9ruFwaJuDEyy/+uorTadTXVxc6L333tuAvDAKvp2ELyAKKu3XRStsrPl8/ka9sdLptClcoClomxgXfu/D92Ai3Ss5jC14KsZF0sY7jcdj2/Tr9TVVE49/NptttFXnHIder2cGxtPBvbGSNgsKvTJF8RBREf1s6zX6a/rWG6wnn4CUNiO94HXwjr2i9EVqEEt8gahvHUPSFHwbr5OebeR9ut2u5Vyo8vfeNvMTVITc2xfFYvDfpELfe6bea2a8fPQUdAbJsQafGWYdUdZ4PFav19PZ2ZlevnypdDqtH/zgB7p//74dWwD0Q+fud99912BKzoKinQzNLYOJZvYG7/U63cO7eRiI9byN+PYtHvUIRlY+z+mdRg878rnXwczj8diYYD//+c/1t3/7t3r69KmOj4/1d/7O31GpVLIc3Hp93YHks88+U71et1o170x5xwBdw9x6I8jzej3Ne/vamNvKrf+y3+9bIpWwNbghfDTgcUj/s1gsZmwQuOEcgfzixQudnZ0pEonY0bA0w2OQ/PP0+33zcjiAxxcissl9vgZFwHv4kJGfeUUKlsyi3/Y8Ev9c3IdEKBPq+zsxnj5H4eEA8Hp/4BILEtbOen3TpBLWznp90yKe9vHkGIAzzs7O1Gw2Dd8PJi99xOCNiy/+w4CCSSPbQjse3ovFbopBiUp8VOUhBw+RoCjZ7Iwb54lPp1OdnZ3p4uLCroVztF6vzRlg/EmgrlbXCfdOp6NOp2PdINrttpbL65bx/pAlv3k9vBiEc1h3jD8e7bZCXtN73TguQfFRnId5vFHG2/YFd0Srk8lEhUJB7733np2ueHl5qVevXtlpm71eT3t7e/q7f/fvand31xh0GHjOLcK583Clp4f7NlOvg8BZj8CWt4V1goIeonGqd/iIDLzDAtzPHvFIDp/jXVjHGOx+v6/z83M9efJEl5eXBql6qJv+fxzXDSuv3++r3W4bbMw745h5uJgx89EfzqMnIXjozu/n/5vc2rh0Op2NAWVR+USzD0dfN/G064CKiPcOEyKVSumTTz4x5ZHL5dTpdNTtdm0iGIB8Pq+HDx9ay4OPP/5Y9+7dsyI4H65iREiy+nDUTzrv4ft/MYko3m3ZYt7A4SVj5FBakjaolISgGCbppjoZ5bZer41F4k8zlK6bWHIuNko+ErlOCu/s7JgBGA6Hlnw+Pz/XV199pfl8bh19GUP/7IyVb+URzCH5XkreW9tGPJzCemEsgrUijKn3FFGgHlZhw5JkX6/XZlwHg4HlrzzTiw3MOS2MPfUyzWZTV1dXarfbmkwmdgw3z0rrodcZP9ajx/VxkIDFtlWM0g2k6OEbnzvw0V5wX3v4zOcMvae7XC5VLBatbujdd9/VO++8o48//tjW3ng8VrfbtehhsVjo5ORE1WrVDrOi9qZSqdgz+6jBH0vAmvJ6x/8uGP29SQsiHzGxL4O5KA9lexjbK3DvlPEuIArknck9TyYT60rx8OFDVatVQyFABMrlsv7oj/5I5XLZxg/G6PHxsemLYCqAOfb62kPKvHMQqbitg31r49JoNFSr1Tbat0ibBWsk7D3c5JWlJINeYPdg2Wezme7fv29nJTx79kxff/21QTSEyigVKIvZbFaHh4d68OCBHQOLV+AjJhYp7S5I4Aa9M58T8pHWbDZTs9nc+qAhFJxXdN4TDyYB8TZQkL5Qy8MZFKdGo1FVq1V1u129ePFCo9FIw+Fwg0m1XF6zqTqdjhkl7kXLky+//FJffPGFRTdeGQbp03iUPlrx/8fT9pDGtjkXam+Wy5tjk4Mel/cavfPjeyWx6ckR0LXA99maTCZmXIBCyekdHByoVquZx4h3OhqN1Gq1dH5+bkfX7u/vq1arqVarGazkGxayX7z4vEEw7xdUZHcVn4xlT6A4YED5fcO4sna8QeLzNA3ld/v7+4pGo9rf31ckcn1OTjKZVLvdVjKZ1OHhoaLRqLXwAaLN5XI6OjoyQ47hl256omFcmUOe2zsU3iljffox9nvnrsJax+nkeZgTz7xkrXlGqE/84wCDknh2IhT11Wqlcrmse/fu6eOPP1YulzNn0UNohUJBx8fHKpfLarfbpqOIyHFcfdTkoXYf0Us3eWr+zueKeMbbyK2NS7PZNNqkb+znLR6T6pPSPkQlL+CZPwzqcDg04zGbzdRqtfTs2TNdXFwYB55J5MRKFCtRCZRPFHG/3zd4CPZJLHbTbj3YosIreDadp0Kfn5/r4ODgtkO2IX4SpRvPATgsqPz4nnoTv9FZeL7J33q9VqFQsGju6upK0k1DQTZjs9m0LtH9ft+8mkQiocFgoGazqUKhoJ2dHR0cHNjZLXhr3hh6g8JXMOfiMf03EX/KoVcyiI+aWWu+2yvFumwMH1V7nByYplQqqVKp6PLyUq1WS91uV5eXl+p2u3aiIG1cOHwLRtj+/r4qlYrVGHBtSBy+J5U3ItJmc0ZgWdaPL7rbVrxzEmSqeY/fO0CMF04gnivvxtzGYjE7O8lT2L0CpSYJJzGXy9n9/Z6mSJG5AerlHYL03mD+gGsGoz3yZ9sIqAZOBeOCgeGe7HNvrBkHn3fEKII6MNc4Ufl8Xg8ePNDu7q4++uijjZxfsVhUvV5XJBIxR5DjldELpAu8gfO0bA/9evG6xkfXHlG5jdzauNTrdZsojxGyWXzE4hNa3vMBYsKr8JX15DOAnVar6wI0TpLDm8KS+jM8iCiopajVakqlUkbNRQEwwCxOiqGkb57Rwb38iYX9fl9/8id/ctsh2xBvXBgb/054qF4BMX48tzfe0ejN2R8s8Fjsutbngw8+UKVSsbDaGy42Pw1CyXvR7uT999+3TsDQuieTyQam7qMRH6Hwf4yL9xp9hLutxONxa/sDK873R2OMfYQXjEwwJn6u/bqgvxqedL1eN/IIxqXRaKjT6Rh8A6ORI7Np7cI4ASWgfPDM+Z48hjd4QSOEAniThL53XIKJZG9EvCfrFSFOniRzBLPZrK0x3tUbKuAvxph8TKlUslIDYCCYjOv12q7p1wvP7w3iarXa6DbBZ4n2PJwOo3Vb8UiIh7eCa44xYi6D4+gdMNAUH8l+9NFHqtfrdoAdZAl0Wz6fV61WszOr2NPkgmBO+mS+n2/fQ9FHKEFSBF8+j+WN428dr9sObKvVMqMyGAw2irl8szU8DawkhgTlSbW975vVbrfV6XR0dna2gc8Ph0NbPPQpQkH5NvCLxULPnz/fOIoWT6Df71vB0YMHD+znXIcF440LHiLV3Ov1Wufn50omk/rhD3942yF7rbBhwN89NCHdtF+QbhYin8Nz9JRab3zYfFC7faM5780zn0RM2Wx2A+oh8vPGD0/XQwLMt4fH/Mb3cIRPHm4jLPJ8Pm/rgDwIURVKxZM8MACMEbx/xsOPvc95kJcqFAra39/X3t6eLi8vLfIjb0B0Sf8vWusEn5ux8UqO9/Bt9f1xzH5jB8kz20iwT5e/j8+NeRw+aAS5hj88DYVE/s7DbxhOel4NBgODs9jTQdgWZcs9WdPSTSkBY+lrnxDPqOTfYC7pTYT94J1Exs2Pl4dq+R1MMNaZ/zzRHqdbsmY8JEn0TT1LsVi00zaZH08uYJzQHx7i8iQmdCFr1zv0PnC4bTJfuoNxgeGRTqfV6XS0v7+/4RWzoBhEFJHH5KFlokCJZobDoZ4+fapOp2MYIQOzt7dnuC2sMk6axFAsFgtdXV0Z24d7wIC6uLgwmOjDDz/c8DD8wvQbis8uFgvl83mdnZ2pUChsXWHO5LAg8SB9VML4+c4GPJOHGn0OQbphxcBA43uMhY8sWMhAIjRahFbrIRmeG48KjBwF6T0i/4Wi8J1131Sgpsbj14du9Xo9pdNpM6QwoYBVJG1EDkGD6N/TR+Pea2YuyCvUajX1ej11u12DXH2BKW1jPDwSJDh4GNT/DmXF83tv+HWRxLbCmPi8aTQateg0CHfzLhyZTaTH/vIwHZRhjiSWbuApIlocS9+0k2vhGEqyteiVOPlPchU4Z4ynJ/Hwrr4fGEZ823ICn5Pw+VPmCEPKs/ooP7gWyKP6Lts4Gh4y9XuKn02nUzPIxWJRlUpFrVbL1jEGGoSDMfCGA/F6h8+jX3AC+Mx6vbZ6pdvIrY1LJpOxim0iAdqIsJhYnMHJQBlx1gUeB33BOJwKq7xer1WtVrWzs6NKpaJisShJ1p4DbBELH41G9eDBA41GI7169cqiq0ajoWQyqVarZRXctVpNlUrFJjvo+bAgeD8WMgbpb/7mb/RP/+k/ve2wmXjj4qE3T3hggSH+Zyge3+xQ0saC9bi0tNkLjs3H/fEOSWp7DNuH0B7qYJPiJfl7+GeWZLTPoFfp3+8uQoTqYQ7u7x0ZYC9/gB0bHM/OM98YV0kb3rGH8NiMGJJMJrNR3OcVh486mXd/jg0G18+Vh5GZryCEyru+Sc6FfYdj4aNQ7sPc+/NUIpGIdRhn7UEi8SeCekgKyjOOk2dr0rGX1jz9ft/WI/NFpOzHw5MQMCoYJf6P8+TXoY9Y3sTh8dHGcnlzZIgk2zvMj3cSGUf2DUYJZ4h9ydiiG4lm0A/eeNAixueoyFPxzsHGtFzHGxDWhXf2fbEzhtMjKrfdw7c2LjSUhIIn3Xgq3uPigXwibTqd2vGvKGp/rU6no1QqZdhhLBazRB8LMplMGsNkvV6rXq+r2+3a35ZKJR0dHVmSsdvtWghOk7wXL17oV7/6lb73ve+ZsWTBMOk872KxsM/Rr6rf7+vP//zPbztkGwKe7GEjJt9zzz3bSrrBOH0EE2Rr8LwkWj2rJ+htSbKF5w0UC4fPeK8ZBcOzeQ+Tze0VLQsYD/FN8iwIHjFwKHBKMPpjrPGuvMHmM+Q/WGPRaNRo3BhcNpyHS7me91ylGxYRRs3j74wlFFhflIqSRgnxf3KBfsxxEN5EeL/FYqFsNmswMo6C79rAPUEWQC1gFZJTwkGMx+PWRoccCGMAVAb7kLWOU8o4QhTyUSZjyf7ki2f00A0KF4eG9wFyhPW5rXBvoibEOwDsDw/D4tgwxsEjL6SbqIq/IVr0ZQg+Z+ghy2QyqXK5bGgCa5BWL6Ad3lmluJzn97/zMBzvxL++TdJvk1sbFzx/lDwbpN1ubww0SWYGKBK57ob66tUrXVxc2KZiEdVqNR0dHRl2GI1GjXbc6/XMkpJkZrFzX3oPoawPDw91cHCgarWqhw8fajAY6OzszK774sULHR4eand31wYWOAnF6r0blBeGZtuW+8Ph0PB/6ZtRCYvMY68+b4UhIqzH6wR/ZeIxVl6oIcJDRfnzHMBKLCrvubPYvNfi8dsgo4R//VkwXjHflsb4OvH1QHiKeKxEmcAAnU5n430wdp40QiPJaDSqSqVic81Y865BA4MwBj7RjRHx3vFyubSCVRLa5I+opmZemCsIFz5qpOh2W2GtE8F4B8OvRaJVP+fj8XgjR0KEIF0rQ47NID+CYWLsWc++r1uv19OLFy/sAL7d3V1jYvE3QLrAdtwPz5u1yv0kbTw/RoZn8U7IXYV96NfC69aHz3f46ICxZ4+y3qbTqbVzYV+ynwuFwgYsSsQD7DUej61Fky9LAL3xSISP4lgP5G7Z78E8FnubufWoy2+TW6/UV69eaTqdam9vT5Is/+FZOD7k80mrfr9vtSqr1cpyAeVyWcfHxyqVSppOr09Qu7i4sIpy72XCf2exoKhJuJN8/+KLL1StVnVycmKDQQtvksFQlun1xED7UJqNwKYGStlWgNoYLzaAj1j4uU+68Wx4ZkAsvpBNuoGHPHTBtQqFwsZxthQCwjDxP2Nh+mSiz5XhBQWjKZ6BRQxG78fsLgszKJPJZIM6G4/HrQ+aN3Y4IqvVSo1Gw8aX2hWKcnnXarVqzRSz2awl/5kLPk/EjQHzsBrj5KNS8H6+aKeTTqdVKpWMpMLhd0T/OGc4Od4b9xHjNoKCA/5jLjxc6qEnDx3z3hQU0/EBQgXOHYaUCvNms2lNFr3Cwsj7WqhsNqtcLmctnziriXvSf5AoBFjIG0XegfXGOvVw6ptE0uxVIHrWyOucjyBEiuMjycg2sVjM8nfSda6JYnNyvJFIxDqEEHEzFxj1q6srGyfPjiRSoi0Rzjh6E+eS52S8WBvAcvytP/H3t8mtjcuLFy90fn6uhw8fKhaLWR8b4CU8SW/pvAdLQc98Ple5XFapVNLh4aHK5bI6nY4NDhache0TiUH8mU1IvQqb/fT0VF9//fUGRRSlCXTHcwU9AzwcD/9RiPim8M5gMLBJD7J//LX9z3huPAo8x263axAhisrTkhEiRx+OFwoFO7IXOjLvjjfrPW+qgWFhcQ8f1vOsGFESjj689vDZXQXnwx/TTCv/Wq0m6Xr+mO9SqaR2u23zSIEtRXu0H2k2m2o0GpZkxukhoYyBxnCh/D2TDuMCHIFThALi73O5nHWsJULx6wAGlo+y5vP5Buuv0+lsNX6SzLvH84dZRP6Afca7wfAiVxmLxewMEaBiopZEImEHobVaLbVaLZ2enury8vIbBpF1wDui+JlXCk+pTPdGyZNKPEFA2mw5xbz4KPx1e+0u4mEi3p16HdaINyj8DOfHO2ySzPEAwkU3+OPcMcTsKQwa70e5Qb/fV7fblSQrLt/b27N1hpOQTCbteh5eC1KQeUevC4LP/9vk1sZluVxar6RoNGpRgE/mj8djm3gUNB6KD/uBdMbjser1urWDYdH2ej1rrEgPMY7y9O1XfN4Gz4eN6xOsq9XKvHRYMixSPERazEg3YbdnudFNdNuFmcvl1Gw2NRwON5TK65K0ngWGp+SNLcaYUzpTqZQZbJ/zYAww/owNC47NB1yzWq02TnXE+67X6xukAoyKp3H7hCOtfV6X7N/WuHDsrcem8WCBmYgEC4WCMQqph4F+XCqVzDuDZELx6Gg0UrvdVrfbtToqn3TlfigwX5MBdINxRWHj4HjcG4Xkux9Eo1Fjw0GhR7FL14qInmXbSiQSsegPheeJGSgVTxjByJJ4H41GpnRYB4vF9emSz5490+npqV69emVRS71eN33hGWGsD9YETTkZM7ob7O7uKpPJWEcOD6t5Aod3Yjw863OpPlezjeAo+Gad7C0fEfnoz+fOOMuJIlMgLc/gIzfFmDQaDT1//lzn5+fW0oX3ZZ5wytnD3GN/f1+Hh4eqVCpmJFg/ECh4L+mmyTAGJgjdkwO6rdzauMTjcVOOpVJJ0ibfG6+Ih/HJcfpBERKiyF++fGmW0B97SpV4PB43ZUrOhXwIR6LmcjlVq9WNamgilUqlIkm6uLiw6IbB8YlCBtcbJN/tlpoGBn8byeVy6na7trF8yM5i8ZsCo0fBHc+HMQX6QZmfnZ2Z8ecaeJeeDcS7pdNpC42ZN+layZTLZZvTfD6vnZ0dG1MiKRa2T7Ri/Ch8fZ1sa1wGg4FKpZIRIyQZJOI7LcB6SyaTOjg40Gg0MkUexOfH47H29vY2IKjl8rqLga/cR0n4sUUheFo49yb6o2bI56SAc4P5Nr48rESejmfleO9tJUiBlmQwiidrMI8+R0FDxF6vZw6Ip/p/+eWXevLkier1ul69eqWzszO7FvkBDBWRHZE0CjPoYJ6fn9u+R1Hu7OwYexTv2ytKnpfx9VFzEEreZvw8ycJ3DvDdQrifvzeOFmxP8srD4XBjrTGmV1dXOj8/19nZmXUq8SQV6YYFCkzpz3LC4aRNPzqbMcfB9ew2v569sfRG8i6EiDtlB4kySIZ7pg4LiciGhwXrB/Pu9/uq1+vWbh+oAEgGz5oJocAvl8tZuIcnhIcKFOKhi0QiYZ78YnHdwsXDRkBKeMGea0+YGI1eHzEKFOCph3cVJtR72oyhH0fpxojQWZaF4OsodnZ2zNB2Oh07bxxjyeYPVswvFgv1+32rMGdTsOgikYhFeUBoe3t7xizyzgPXZN6DnaN9UhzZ1rh0Oh3DmpljvFfm0HvU3hDzfvwNn0NJAEFUKhUlEgkdHByYAmKMghuNMQZH9xE6c+iT0uwLHxWgrNgrzJdv1sqa6Xa7xrbcVsD4iex5TgyfT0TjffsIx7PWmO/Ly0s9f/5cX3zxhdrttkajkZrNpiQZ7ZhqfAg53W5Xu7u7tqeJAjyU6CnjrGEgQZzLoKFnXHGmeEe/Z5nzbYQ142FtafOwOO7HWPpIAMNDnokx9wXl/X5fT58+1ddff62XL1/q8vJSFxcXdsCaTwdw3WAuE/1FX8Zms2nOaC6Xs/54ntDCXGPggjCiz1299YT+arVSp9PR5eWlHj58aPhwEPpAacNESCaTlvTrdruGx85mM6uYBzoAFuAAHM/MgMctXUdRwQULCysejxvrDHx8f3/fvFW8JzYHSpsogPdhgS4WCzWbzQ1vaBvhuagVQtHAwmDTck8WKl2fUXIe7wezpRUEVFBfiIXHwUIhGSnJICJftNftds1IQ7xgEXo2CTkAv5FplOk3dTDM3lY4AoAxoucZ5AHvhUFfR0Hi4QJBsRk9G8aPUT6f3/A6GXtfx+U/B+HDnwXvNz/GyJMhvAL38MZkMlGz2TQGFVEEivtNxpA5xuv2UFiwvgHh7/3Yovi73a6+/vprffHFFzo/P1epVNLu7q5OTk7Ma/adq/H0YS35oj4POxJlDAYDZbNZM/7A051OR4vFzRnzvIOP/oK5Fhwg2IXbCBCo76zujXMQSpL0WoODM+JzHURzFxcX+uUvf2mw4nQ6VbvdtgiH+iDgOSA6HGz0Mk66j0bZo6enpxqNRqpWq3YchI+kvQH1RpN3fuvGBYyacDeIuaNQ2Mx4ztK1EgMeYIBzuZz+4T/8hxbWkfAkgTmZTDZokt6r8jkJX+DoGzmySRKJhHZ2dozpAFef8JuFzULxSp5F0Gw2zQu9LVMiKOv12lq2E7Vh/LzyQWGiuMk1UEFPvkSSvYOHXPjyOKrn1Uuy+fG1PuC/KD+MCovVQ3ieDeY3EQw//7esCe/5byO9Xs9yPx4+JMfhiQx4uz4ZCVTAswYVkH821hCRBIYJQ+qjLx95cNaHv7fHyF+3JjxcuVpdMxnb7bblB6fTqR314KGKbcQbPK7vmWJ+f6L4/DPS3kWS5eqKxaJ++MMfWtRGjgrIGiUYjJRYH6w970B6KJIonUR0t9vV8+fPzenyToCPSJhX3pnoB+W5jcDQ8nVORLAeeg5G7Bhz/i/dRMCSNph1Z2dnxnI8OjpSPp/Xxx9/vJGjwjGFSUh+cL1e24FtwK8YVAw6+T6o8ev1dccTn9D3RhPniXfhnW8jtzYuKOSzszNjf/lFyYb1i9GHrPl8fgOmikaj1iafyn0WYjQatap97zX5/AEhKrAYnhHeBQQAH/HgsXucG/gJY+nhKek6P4RRwhBuK8B+UA9RQl4Jem+XCIR7YzQ8TOOhFjwNPwdEaNJN3zc+jweKEfUQIVx6wmYf+XBcsp9niBcoU4Rn8YtzGyHnR6QH1g7EiUeNUQY6wYCgFNn4vu6B5yQqY0x9Z17WJdEG4+QjUF9PId1U4wdzXgjGmWeaTqfqdDobxcm+H1cQjrmreAeG6Ji8VRDm8V61N2rktyKRiCqVysYxGbSC9/MNsYE1zXtxH6Ia/gUe9IQa9gDOFU6XNyb8388J78kceAd4G/HrJrhvGTPuLW3qGemGqOPXyWQyUb1e15dffqnz83OtVteNKGl7ReSGYfTrKWgwaLfvOxswZsxntVo1evfFxYWdDUOkT/6VZw/u/7sY51sbFyYL3jpsMb/weAAUPZtmubzugVOtVo3nD5Tgu5myGfFeIAMQYQTDTypuS6XSRpItSDGGilqr1WzzekMCHEYBl4d6OBkz+I7byGq1soRekDHjk7o+gQ8O7b065iMIq6B0gwaZCA8jKt1AJPyesWdBci+Pv/I80IxZgCQm/UFMXoHw/Zt43UdHR3r69Knq9bp5rMCt3vCxDnxSEuPi2+d4Bp736Jl7nA1+/zrFzj18bosxhUxB9LJcLjeYTkRc7CHYYBgW1vFgMNhoNf8m64+6CJ8jC0aY/vvgu2Jcob7TSok16SNm1geQpM+jcH1gXMb3dbAhhh0HC6IGSITPBfnoy0eOfOHUbluI2m63tb+/b+uE3B7PjNFhvLw+ZI+zNqD/E5Xm83l99NFHtv9edzwE69IbcJxd1j7j7SE61px0A/MynvV63ZwyIEOvj9BZrOf/VyIXPAv41NQWMHhe8D6YcB6QhDzeBwdaSTJrC2sHAoA/h1y6gSGAwbg+k0AOhjwKCwqKqg8H8XKCoTUbA6o0ix6ltY3wzISxnU5nowGcjz5YTGxG6Mtewfn8AYuBReM9eMTz6f3zsAC5L/AR7+y9MMgAHgqAnAAW7M/e8TDL6zz3u8ju7q6Gw6GePXumRqNh1wF6CXqNGEzehToB4EifZyJPiGEiovSQo3RjTLzi8N8HI1EP7aA0WLMoO4yc72hANIEhx4GQtve6pet6JaBQ6aYw1cPbvCffB99TktUCcbQAY+cjhmCeDxYh+TFJG/mpdDqt6XRqBZ5E2SSvPUwDEQjHEOfwdXlTn3PgfRjLu8qXX35p5zkRSQAvMtdBQ+edPw/V4TDzzgcHB6pUKgaD+nemewiODtdhfHwEjvEOojPMJ+UiGLD1em2Ig+8AwRr0uTgchLeec2FSYE+xkYKKw3uD3uiQYI9GrynCyWTSOi3zAsArnU5H7XZbzWbTKHve88XTJIkF24IB8xs+mJfh836QmAS/6ZfLpTFXPOa+bTJQumm1ks/nv3Fkst/QKHa8VxSjh8CCuQI8FH9GDVi3j8T4HAuX+3gqJaGw/2Icfc3SarVSvV5XpVLRycmJstmsncToN4HPmb3J2D148ECdTsfYSMwZiV0oxz6Kk64NN04LcJ8vhqR6ObgevEJiswc9R++YeMXllTLOFsQM7sV8MPc+SpxMJmq1WhoMBvZ+bxL5SdrwPj2q4OeIMfB7zSdxUUwwvPzzsy/9eSo4Nf1+X61Wy0gJGCS/HskboswoL/CKFSXHWvcMLubJ53P4GfvYz81d5Ze//KU+/fTTDYPqG2ZyL54hGGmyPnzekJqUYrFo18Nh89fxesnPH8aDdkEekvS0fXQH0Y10k4/FkfEpAp9n9cSYu7Dt7sQWI2HJZvTetI8sPCvDLzw2GYVS3iL66nMoy9BavWftFwhRAEaGxcgGhm2GYuz3+9+AK3hm78X6xpXck4nZNnLxyonnbbVa9n7e8/Gdj/1zUffjGTjei5a0kaMhIezpwj4pvV7fMMW4p889eeOFQfZ9zRKJhOr1uiTp448/tt5QV1dXFiG+SY7KCzUpjx8/1o9+9CN1Op0NTj7v7qMu/x5+U+P4gEfj6NDtW9KG8vXKVbpxonCI8BYZQ/7WzxOGOxgde+iEdYL3+urVK41GI+3t7Rkp5U0EBYRR8IraG5UgPOYZQ7yjz08RZXsIBp3A+HnjwDUZA/QEY8Dc4fTweW9EpJumqeRr6RLC/T1pw0dT20Yul5eXevnypUqlkkWAHoryRpMI1Bts6aajOO9LjoRIGUMcjH59fpR34ver1Wqj47wvdKbzhIfZPGzOOvaGmnHGILMXuPdtWxDdybhIN3S8aPQ66c5ZFwwCwkDwGe/BoTjhXhOS+WiEyCKbzdp1PUtjvV5bcVW5XN44awXsFy+eSaDGhGfyVhhDRG7CV84GFfg2Etx8uVzOIkBv3BgrPA7GnkVJ8n29Xpsh9VAMHgowHgvcJ+vY6CxqDA6eIwvfe4AwxFCO0nWbifF4rBcvXujTTz/VgwcPjCbOkQf1et28Iu9V3VWYN2jXnArpHQSMib8HY+trA1BGGGC8Y4oXg4lib4x9bi8ajRq8AVQjyRwr9gXj6GGcoIJAFotrqvjFxYWeP39u0SLJ2DcxMOQoGYtEIrHRrVu6iaBZq34MMKAYE9hK3vlh7cLuAqLO5/OmO1BQ6Affgp89TM6VcUbflMtlGzOMC/kuLyhE5ivolG4j6/Vaz58/t1IM5tE70sHolvHj87wz+xvnzudI+Tvf+QGHnqgQXeAVv8+nUEaAfmDeEPQt+pS9wPt4ONLDpvz+NnInKjID12g0VC6X9fnnnysej1uYyO+BGrDAHnPmy+O75Fukm+RXNptVtVrdoLeiNLkGTe6IWPAcYLONRqON5C0W2rfV8HkJFDJdSql3YJF6dshdxXtvGIZCoaBGo2HRC8/kWTrSjafBImJTeyXnC0AxCK9j+3jsnIXtN7QnDGAMWFC+JTjHqc5mM52fn+vFixc6OjpSMnl9TPDBwYFOTk707NkznZ+fq16v2wbYRvhsLBbT3t6erQve07+jf0+vJMGvMcDk5TAwtBnxisrnXKhR8k4TG5cICOPF/fEAPQ0W5YADxbqFwDIYDNRqtTQcDpVMJtXpdPTVV19puVyqWq1uNX7SDQXdFyd6T1vaNKY+cvbkEd4xCIcxT8yDr8uiFAEPnTnyDhHj4PF/kvkYBfYrOoNnJTrHweA9eD4UPvm3bSSVSuny8lKNRkOVSsXGjucK7jfui4MXJHFIN/26uBa6D0ibRDv5NxABCDTMSTwetzWInsvn81ZD6ElWfi0wPuhH5hAYHseSdQPx5zZyJxPOhrm8vNTe3p4+//zzjaZqKE3CUL8gfXLtdQlDFB3KjDANr5IJiMVipgTItwCF+EXkaYxELd7iBpkyhIMsVGBANv3rorO7CM+HAopGo4b909EZ4+CT9owhMB+GBnjDR4NUofsF78eZxerfwYe9RHx+cxD54anipRWLRWvTcXp6qvPzc/NsUVbQxPf39/XrX/9ar1692hom40RNottaraazszPrq+Tzf0RykjaUN3ON0gfbxutkbfE51hyRiaQNhpLPNwSp0Kwb7o2DwtwRRfvf+QapJycnevr0qT0/UOMHH3yw1fjx7DgE3JfnxhB44+uZXx5aQthfGAj2Ke8fJOF4JwiD45lwPrpnD5Ivk250BNfkX88MwxEIOnP+eWnweFeJxWLWQ+29997b0GXB3BG/Y10GjTS/904G70uTVYwDUQjrfLlcbtQBRqPXfenK5bIVRlJvRENbn5bwRpc1HNwzniaPfsAwepjv/ya3Ni4sEDx/ihPpNyZttlbggYJhfJBRwd9GIjd1Fyh1H8r6xU3kQs4HBRlkf6GQMH7+/GqeBeXC/X1k4KMhxmBbATv2HiHJfSbO3wdPgmfE40IJ+ESmx0YTiYRVr7OA2egekvGL2tchsFm8AkIZogiAME5PT+0QuHq9blW/bCTG+ujoSPfv39d/+S//xWqN7ioPHz5UvV63pH0mk1E+n1en07Gqdp9f4mhsxkS6MfAUmvIz33gw6PnyxeaktRA/82simLdgTaFwYUHSyQBSDIal1WopEono6OhI+/v7evLkiZ4+fWoKYjqd6te//vV2C1A3ytUrJbxTz+zkHbxSZj/zWQ9JobxYO7yzh6QZa9aOd+qAz4KkimAk7n/GeuXvfS6G63olivHiyPJtx282m+np06ffIDQFHVCPdHhYjL3HM/rf846+4LdQKKhUKtlR5LTM2dnZ2di/5IGIWtChHtHw8xUk7XgHzENiy+XScu1E37eVO0UuFLCxQR48eGBJchqj0TzN43QoGRYEUQMJOI/tkYSazWZWle69dQ/j+DwO+QOEZHYkEjH6LDjvYDDYGEAWPVXm0+lUlUrFWGgectk2Z4BRYdGl02mLRsCn6TjLRHuPGi8XrzuYTGWR+fDXY+X83C8iFj8K1edGuP5yedMVmnmGLvrq1StzLur1uq6urozZxIYpFotmoD799FPrO3ZXuX//vs7Ozsww0LPKQ1UcLTAajaxCnNYhrA2/ASElYKSpAWHMfQTuHZwgjOET9T6vIG3my1CkNGllXOgnNp/P7Vjvo6MjffDBB/r666+1XC4NwvO1RHcVX/1OhIWC9Mwt3sUbTgp6g8pKulaSOHLMj3dOfDSJMgsyrchfYQQo6vMHmnnYmGt7NARHi++DubPVaqVCoaAXL15sNX5c9+XLlxqPx5ZzxOElEuR+Hirk8z7vIm12H2FsfM4UhU6OOhaLWUU9LV783+NgeVibyJummN5x97l0/3/ppmO7J3R41t1vkztFLgzebHbdhv3x48c6OjrS8+fPtVgszHJ7WCkajW54vEBAvleW36S+VQlYn4d3MC4k/4hivCJmkIbDoR2J2+12beMz+UwI2CWFjcvl0ijNRGlBaOWugrHwkQjFSShAlA4TzTh4XHm9Xm9EGry3Z3qQRGWReI/JKxGfuMdr9BsWo047b/JrGMPnz5/bEbbgwDgHRLh4i4vFdf+3dru91fiVy2V7Njod0NgT2BDlSxKcFjacoYLSQhEAI0Is8TUDPveEB+cZSNJmJbvPS3kDyv9xwiANwEgEWozH49bnqVwu6/3339fV1ZV+/OMf6+rqaqO327YSPCDK5z7wuINwDgo6iNmv12sjMPjWNB768pCLf3aMKoaO6+K0oA/8mSOpVEqDwcAUKUoPY+KdAfYq12Hv4Kh+/fXXW42f1xn1en1j73kHw79DkKLsEQPWcfA8F59cR6kDo5OYJ89HA0//jPP5fKPHIHPOvvRJeW/cgtFgMC9E5PjWYTFJBims12u1Wi298847Ojo60vn5+QZ0AATkq3FZZDSe89XSXslhKIJWHmMUxAh9MnQ+n1sEJV0X2OF1d7tdWwhMJB4RXhaKP5m8PpOapJlvgXCXsNAL18DYYVwoZCKqQkF5bJNIDcgHOI3FzgYkIUwkwhcGh3nwHqVXjj53hqKBmBGJRIw+LkmNRkOXl5daLpeWp2CuCLM54XE0Ghn5YtvIxZ/QCL2S8WJO/cYABu10OsZAlGSJ1Uqlomq1asqATU/1P+uDNeI9Nr+upU3j7RmJkqzhICd9drtdOwnTj3elUlGpVDLjeXx8rFqtpg8//NDGGc92W6E7BZALzk2hULD5DnreQS+X73kO1jHOA/vzdV0efKTmvW2/3ryRInrx+S2cTfYMx4/7hrSeYYbg+Z+dnb3RmTgYvKurK9VqNVuXjJnPVyIekuJ7r/R9VIcBRMf5FAHf43T6FIBHO4hg2Pc+n+MNns9/esPHOvBj72HG28qdiij9Q1xcXNhmfPDggZ49e6Zms2kKyDOc/MD7SeeFC4WCbU4WvleO/rMscF5Y0gZ9jvoHPDDOYgEu8R4U8ACWnmT33t6ehbyj0Whjg70pLOaTw7FYzCIkT3hA6TC5vgp9MpmY9+83EouG9/OLl+vj1fkvb8TxqPz4kkRkXnkH2oAzh6wL/9l4PG4nV77O+N9FeCcMDDCWx4LZULw3m4z2NIxRp9PRO++8I0mmWNnUwKRUXjPfGJcgjs7cesooGxLoi5qIfr+vy8tLO8KBa4Kjs29SqZQdGPXxxx/rF7/4xcaREdsKxa2MFQQRYBRPipE2j/v27DLmg24HQLOs7dlstsGeI9JAuQIPSrI1BbTpIyPpBrZB8ZJ7YuxYdzw7usJ72ijrRCKhRqOx9Zk4oDLZbNb2K3on6PXzzDwLf08UxrstFgsVCgWrteL9veFYr9cbBCb/rvyedRl0Jr1T4h0iHHrWLs4lURTOPNAp12UP3Gq81tu64qGEEkoooYTyG2R7NyiUUEIJJZRQfoOExiWUUEIJJZS3LqFxCSWUUEIJ5a1LaFxCCSWUUEJ56xIal1BCCSWUUN66hMYllFBCCSWUty6hcQkllFBCCeWtS2hcQgkllFBCeesSGpdQQgkllFDeuoTGJZRQQgkllLcuoXEJJZRQQgnlrUtoXEIJJZRQQnnrEhqXUEIJJZRQ3rqExiWUUEIJJZS3LqFxCSWUUEIJ5a1LaFxCCSWUUEJ56xIal1BCCSWUUN66hMYllFBCCSWUty6hcQkllFBCCeWtS2hcQgkllFBCeesSGpdQQgkllFDeuoTGJZRQQgkllLcuoXEJJZRQQgnlrUtoXEIJJZRQQnnrEr/tH/6Lf/EvNB6P9e677+ro6EjFYlHlclnZbFbxeFyRSESSFIlEFI1GFYvFFI1G7f/8fr1ea71eaz6fS5Ki0aj9TpJisZji8bii0agSiYRWq5XW67UikYhWq5VWq5Xdh/9zTX42nU7tZ6vVSsvlUsvlUvP53L7nXpFIRIvFQsvlUqvVSrPZTIPBQP1+X71eT+PxWNPpVLPZTMvlUpFIRP/yX/7LOw/0n/7pnyqXyykSiahUKikSiSiRSCidTiuRSCgWiymRSCiZTNp4MnaJREKpVEqSlEwmbcx43+VyaePm33m9Xn9jfNfrtY37er22seB+s9lMk8lErVZLT5480Xg8VjQaVTab1eHhoQqFgiaTiX7xi1/o6upKkUjE7sl4rlYrjUYjLZdLjUYjjcdjJZNJLRYLzedz/et//a/vPH7vvPOOotGo9vf39d577+nTTz/VvXv3FI/H1e129dOf/lT/43/8D7XbbR0cHOj4+FjValX5fF6pVEqJRELZbFaZTEbpdFrRaFT9fl8vXrxQMpnUycmJcrmcksmkYrHYxrphncXjcWWzWRWLReXzeeXzeeVyOaVSKSWTSSWTSRuPSCSieDyuWCxm4zydTtXr9dTr9WzMJ5OJRqORVquVIpGIer2ePv/8c/23//bf9Dd/8zf64z/+Y61WK7169UrPnz/XYrHQ6enpnccvlFB+13Jr47JarRSNRk1BTKdTTadT20BegfH3KLxYLLbxO5TeYrGwn6EE2aAYJkmm1PmKx+P286BgVPgdyiGZTGo+n9vn1+u1bXyed7FYaDabaT6f23tieLgef39XQeFEo1HN53Ol02m7lr8m/8fA8JnFYmHPvVgsbAwxuN7ARqNRxeNxMzDSjTHmbxjzoCQSCUWjUSWTSaXTadXrdXv/4XCoeDyuVCql999/X5VKRY1GQ51OR/P5XLPZzJ5vPB5rvV5rNptpOp0qlUqpVCopnU5vNX4Y5b29PdVqNZXLZeXzeS0WCyUSCR0cHOjTTz/V1dWVUqmUKpWKSqWSisWi4vG4ksmk8vm80um00um0ORsYTAwQThHKnrFMpVJKp9PKZrMqFAoqFArKZrNKp9PmDLGemDfWPXMTjUZt3ieTiabTqa274XCo9XqteDyuWq2m4+NjPX36VBcXF9rb21M2m1U0GtVkMtlq/EIJ5XcttzYubB4MSzwe13Q6VSaTMeUTi8XM0HjlyObzCprNt1gsNjai99j5P56j99jZ9BgSbyR4jsViYUYRA4OXzb8YD29MUIj8HGX+JrJYLDSdTpVIJDSfz5VIJDbGCAUUNDQYBZ6hUChsRGHxeNyiQAwmY4VR9hGNH2Nv7FB+fh6q1aoSiYQGg4GN02Qy0Xg8Vjqd1v7+vorFovr9vjqdjlqtlnq9nj33crlUJpNRPB5XOp1WqVTSdDrdavyy2axKpZIZlmw2a8o8m81qd3dXi8VC2WxWq9VKhUJB+XxemUxGhUJBuVzOophyuaxIJKLRaKR6vW5j5yNhxoxoJZ1OK5fL2f8LhYI5QoyXd1YwspI0mUxs3IiGO52Oms2mBoOBlsulGcR4PK5KpaKPPvrIfs89YrHYax2qUEL5fZRbG5d8Pq9+v6/JZKLZbGbGZTabKZVKbWwsvD8PcQUjEa8EPWQmyRSuPeT/2ej+d/5vPGQG3OPhIRQdxgZljuHwkNh4PDYojJ97OG5bI8P4zOdzGzveyyt77uFhJkkGu/DcGFDG3kch3vv2UY03HHye381ms2+8XywWU6FQUDQa1XA4VCwWUzqdVqfTse8jkYgpeqIDoj/ecblcqtvtKplMajwebzV+hUJBu7u7qlarKhQKkq6VNtBiPp9XpVIxWBHDkkwmzSjkcjmVy2WDGKfTqbLZrEajkYbDoSluH73xWb5PpVJKpVLKZDIbc8baWy6XNpbz+Vyj0UgXFxfqdDoaj8d68eKFJpOJms2mWq2Wut2uJpOJSqWSHj9+rJOTExWLRVWrVb333nu6uroyaJT7hBLKt0FubVyk64XNJlytVprP5waHpFKpDaWI4vJK2W9Gj017o4MElbiHc7y3L93AO5FIxKCvYD6G36PsULwYmOl0qvF4rNFopMlkYj/3UQGKehuZzWb2nPF4XIlEYgNuCyoqIpVEIrERrfEefCaZTNr/faTC9VB0/tp+TMlt+bHE6M1mMzMofA4lNxqNzDDzTrlcTvF4XLPZTLPZzDx38jjRaFSZTGar8YtEIqrVaqbgcRT4XbFYVKFQMCMHxIViBtrK5XKWy0ulUioUChoOh+p2u2a0ge4wXKlUyu5FfsXDwT6nh6EaDAa6vLzU8+fP9bOf/Uy1Wk2DwUDPnz/XcDjUcDg0R2Y8Hisej+vZs2d69OiR3nvvPYMAiaIzmYytmVBC+TbIrY2Lh7HY2Hios9nMlKCHqfCyUVj+WggRDZ61NwrBBH5QARMF8L33wL3X7u/p4SevFHgXn2chh+ANy7bGhfv4xDbKwt/Dv6c3pjw7BgQDlE6nLe8gaSMaQbECe73OwHh4zM+LN1KSzNhxT6Iv72iMx+NvGEHgyGQyqW63a1HHXWVvb2/DMAHHzudzpVIpi1SIVhgvnmO5XJpRwQHx+ZTd3V0zpqzDSCRiuRhv0IORMtccDoe6urrSixcvdHZ2ppcvX+rq6kqdTkfn5+fqdrtmxMbj8QYkS7Q8Go10eXmpo6MjHR4eqlarqd/vq9/vq1QqfSN/GUoov69yp5xLOp02WIwNFUy2A0Wx8SRtJO49u4jfBzds8O+IhiRtGC9JZgD4nb+/T+oHoTZvJIL35TNB5pWkrTc3BhQjhVLh/4yHjzpQdP69l8ulXQulxLUSiYRms5mNpY/gGOvgGHmj4f/Gjz/P4o0vP/cGi3EiT0GugWvP5/OtE9KxWEzT6dSik2g0qul0qkgkonw+b7AX9/G5vKDxns1myuVyFk2yPiaTibH3iIJZ5z4H6KPZZDKp5XKpfr+v09NT/frXv9bnn3+udrutV69emdGZTqf2/sxhLpdTJpMx48c6rNfrNnaPHj1SsVhUs9ncyE2GEsrvu9wpcvHK3itsv/GCDCiUok/oI17Jkaz01NjfdD9+L2lDMXv6KNEBeQ7PuvIb2b8fnr5X6P7v/PvdVVDcKH+SwdB1eQfYREHDCsOIPMN6vdZgMNBwODR6Mvfwid/VaqVEImFev4czmRMMHpEpz4jyTqfTRqMF7mI+JNlnJpOJRZNEENDCkW2NC2MSj8c3oE0/VqPRyCjkQFyJRMJgMZ51NBrZs/Hc5AHL5bJ2dna0WCw0mUwMBkun0xtwGO9E9Fmv1/XVV1/p5z//uZ49e2a5lkgkok6nY1HWfD5XLpfTgwcPdHx8rHK5rFwuZ8Z7MBio1Wqp0+moXq8rn8/rwYMHymazkjaj/lBC+X2WWxsXr5Q93h1kGKEw8e74OddA8M7xnMG18S4lbRgLn7PxCt/DaB7mAqbxSXSejfv7SILcgyTzMD2E9qZssSDchzGA0o1C954zkQyeumeuAXfF43GjxfJ5xg8YiAQ1zDIgQEnGAGNM5/O5zs/PjXoMDAY0gxHi+X3ujDler9dG2w06HdsmpKET88VYUK8yGo3U7XZ1cXFhdSSMXTabtfVFXQnGZjgcqtVqabFYKJPJ6ODgQPfv31c0GtVoNFIkEjEiANAbOR8M2HK5tKjl7OzMDBzj1+v1jBSRyWR07949ffLJJ9rb21O5XNbe3p6q1aoikYi63a7q9bqePn2qr776Sqenpzo6OlI2m91wvkIJ5fdd7lTnggL3cBheHJECvwPSYTOAg6NYU6mURRtBmrKH04LGDOPiIRogDE8lns1m32AASbJcRyaT2YBMuDfPmk6nNR6PzcN/U7YY10EwyIPBQJ1OR5PJxPIc/h29IQCORHlTw1EoFFQqlTYMDbUcGAKSxuTKyE0tFgv1+30NBgMNBgNNp1NLOk+nU/X7fRsH4CG8eSIongeIB4NGwSGsQQziNhKLxSypjWEYj8fGtur1erq8vFS9Xrc8DGvOG2fGlLFeLBb2mXK5rG63q/F4rFKppMFgoNlsplKpZD+D1gwJhCj5/PxczWbTikaZK9ZuLBZTtVrV/fv39dFHH+nw8FC5XE7FYlG1Wk1HR0fKZDL2Lnt7e0okEvryyy/V6/VULpctwgollG+D3Nq4ePzf148QGUynU8vHUM0u3XjqnlXjC9Jg5/T7feVyuY37eYjLV0v7BDIbbjQaWf6FAjU2uaSNwst0Oq1yuWyQho9aeOZIJLLBopK0YWTuKhgFD/dhWFqtllXCezrrcDg0rxwDThV/IpHQ7u6uMpmMer2eut2usZ9qtZqq1aoWi4WSyaSNGe8IFMRYUXNBnUq73dZgMNBoNFKj0TAoi+Q8Cj6RSFg0CmWX+cpms8rn85YnYTx99HoXATL0EefV1ZUajYZarZYuLy/NGEjagOV83ZKHWKXrdUakAwwYj8eN8TWdTi1C8RRrolucqUajYXuAiBlYrlgsGvvr5ORE5XLZKvZ5tslkYlFZqVSyeYtEIur3+1ZEy/uFEsrvu9zJuACvoCDW67Vt2ul0qsFgYHmB6XRqkJmPdlarlXmgpVLJFCK/w/MFxsBQ4QV6+jMGZDgcmnHxhX78jU/GU9CH4vXYfLCGJpiXkV5f1X4bCUZpwEzdbleDwcCYVpI26m3wgD2DCcUzGo1sHubzuVWs846+Gt5HaUR3y+VS7XZb3W7XnqfdblsEiAECCvIMMuaTtcA4w3hKJpMqFosaDofa3983w7Dt+GFUUfL9fl/n5+c6Pz+3LgE4CYz1ZDKxNTkajTbgTiDCVCpl8GKv17NiyV6vZ+sOWA1Dw1oDAlytVgaDYTCog+G5aRUTiUSskJKuEZIscmKsk8mkjo+PNRgM9MUXX2g0Gtm6DSWUb4PcKaHv4SoMCslKjAtJVQroUNpECCSKgWqy2ezGhiFawLiwocnPkKPAexyPxxoMBvZ/FKNXzNINs0e6jl48FdTDUZI2Ighf/+HH4K7iadb0L6vX6xZ9kdT3bLhYLKZSqWTG2LO6vCECFkSxUkOBQeD9SIRL11EIsBJQEMwunjORSKhSqWz8SwQ7Go2sJohn4Gu9Xlu0NRwOFY1GVSqVTLluI560MJ1OVa/XLbKIRCJWHOkLbj1dOB6Pb+TgMIyQURjD0WikZrNp6yUWi220vSEXtVwuN6I3HALqbKrVqqTruhiKjnu9nsGfGBHgyE6no2q1qnK5rEqlonw+r2g0qmq1qkqlona7/Q26eCih/D7LnYoopZtCR2AboAiiidFopHa7bRsSCAXcG48RSigbPplMajabKZ/Pm3fKfXzuxUdGFD1yPbxG752jkKhX4HuiIummAFG6STh79pl0g9tva1yIhIgeiBgwzESAPCt5FJLI3mPHcKKoPD15uVwaHMRze8YUOS2f3IZ1RpsXFDIMM54JsgEtVIhSPNV2tVpt9ECbTqc6PT21qMvDj3cR380A6DUWi6lSqahWq1l0gYHAgKRSKUusT6dTFYtF9Xo9jUYjM5YYXiA/ug8QQQNZRSIRc0ooYGU9E6XQP61Sqdj67vV6NidcB4iZqH4wGKjdbmt/f9+gNyKYQqGgwWBghcqhhPJtkK0iF9/ag8JFTwlGmXklD3zgq6Z9SxOS0JHIdTsRPHeUMhsVb3kymRgcBsyB0cHIAdVEo1Hl83kriuP5UbhecXloDtjDFwNuu7k9U41EORGZJzigoHZ2dlQsFk2hEFVMJhOLNIgAMchUfsdiMe3v79u7YxgYTwwPCng2m6nb7Wo0Gm10BEYh93q9jSI+ihYhPqBgeR4S/0RTKE76jG0jnnhBQST9vSAORCIRtdtte37fYNWTI4guiFio+s9ms7b2/NxLMhII7V8YA4ydJKuzIWIaDoeq1+tmTHy/MqIQ9grOEusPlh5dBVarlc1zKKF8G+TWOx2YKpPJGBTmcxm+2A4vzSt6FD9wAth2qVSyPAndaWHkkHAHhgDuAvbxBsRHLhgdFDoeva8xQaGQmyCy8R6+tEm19vmmuwrKZTqd2vP7qMorICi8/X5f9Xpd3W5XrVbL3unq6krRaFQ7OzsGG9IDrNlsKh6P6+DgQPv7+8baApLykJFvfeON9Gw2s1qR1Wqlp0+farVa6eTkxJLYlUpFOzs7FlkxnxA1gM2IBLrdrnZ2drYmRDDuEBMwJr4BKIawXq+r3W5bQ03e0eemcBSCDDwMBNEhhJNKpaLd3V0r2PRzRJ7Kjy8kieVyaeOSTCYN/iSH4utogJQ7nY5RoHG4YrGYUaJDCeXbILc2LiSHa7WabViiEZQQmwNqK/kPEqDg82DN/X7fII5CoaD5fG7c/1qtZooO7x3YxsNxREvSjXdLw0WigmazaQlX6YZJRANCr9Tz+bwpat9SBdkW8yZqQwmidCg49LAWfam63a6azaaurq50dXWlYrGoH/zgBxoMBkomk/rggw/UbDb18uVLDYdDYxmNRiO1Wi31+31Vq1VT6L6RKNGgz/dwngmfffjwoQ4ODtTv9/XVV1+pVCqp3W7riy++UD6fNzptIpGweo1KpaJyuWyQEXOCN76tcSbaYhyJMFh/rVZLjUZDL1680Onpqfr9vkUmk8nEIq/hcKhUKqX9/X3lcjk1m00rtiXKBmLD2JbLZd2/f1/37t1TNpu1aIloA5jNj2mn07H9srOzo9FoZAWTQI4k95vNpjXfJOLzvej4XTqd1s7OzlbjF0oov2u5tXEBf6eQjjwJHiEUVnj+0+nUKr4pIpvP5+r3+1oul5a09Il6oAAUFJ4+kdF4PN6APXz1Oqw0nyc4PDxUJpPRZ599ZpET+LtvgEjuAkJAIpEwpek7AmzrdUuyfAQGC7wfL5pDr+r1uk5PT9Vut609CO8DxXd3d1eRSESffvqput2uVquVGo2GFouFisWisZCAs4rFokFJGDjfZJGq/52dHcvfFAoFffe739X+/r7Oz8+tlUm5XFaxWLQW+OPx2H6/u7ure/fu6f79+0omk9b/azKZqFgs2ntsI6/LicFOG4/Huri40MuXL3V6eqput6tsNmuR0mg0Ujab1d7enkULqVTKDr77/PPPLerwxw9ALDk5OdGHH36oo6Mj+7tMJmPOTqPR2GgQShS4v7+vTz/9VK9evdKvf/1r7e7u6kc/+pESiYTeeecdffzxx5KkX/3qV3r58qVV41P8So4GCJkINJRQvg1ya+MC0+jJkyfqdDp2gJEkowdTfzIajVQoFPTo0SNj9JAUBQbIZDIql8vmoaHogR1g/qAIM5mMRRa5XM4onD6n0Gq1TNk8fvxYjx49UjqdVqPR0NOnT01xxmIxFYtF7e3tbRTRAU3g3bKxfSX6tkWA0k2tC/U9QIjR6PUhUFdXV3ry5ImePXumUqmkP/iDP1CtVjN2Ubvd1v/+3/9bx8fHun//viWPqShfr9c6ODiQdMNSAoID4vFdDDDo0vV5Kfv7+7q4uNB7772nbDarcrls57Dcu3fPTkDc29uzSvZut6vpdGqRA/Do/fv3rZuy73KwbVdkmFswsijIHAwG6na7ajQads5MPp9XtVpVLpdTp9OxqDgWi+no6MiKSaPRqO7fv2/NIj0EijGr1Wq6d++ednd3LaLlXYBsYYPhcMGQOzo6UqlU0n//7/9dL1680D/5J/9Ek8lE/+Af/AO9fPlSk8lEn376qXK5nPr9vhqNhk5OTuwYBXKE7JtoNBrCYqF8a+ROCX3olL1ez1hBwAPpdNqgp9VqpVKppGq1qmKxqEajobOzM02nU1UqFasup+gO7LxWq6lQKBi7jEQxrc/J0VATwlG6/D1RAYlnIoX9/X2LnlBO+/v7qlQqpmQmk8k3CkWlm3NUPINtG8EbxYCSw0JJNhoNvXr1yhLfnF1yfHysyWSiL774woxJrVbTo0ePDB6kVxXXpT1MLBazmh+S7UBTnu7M+AEXdbtdFYtFyyWcnJwY7Zw6EU6ELBaLms1mRhjI5XJqt9uKRCI6Pj42xUgU+CYJaaJVSTo4OLBEeK/XUz6f1+7uriX3i8WiJdWbzab16qLaXZLRfZmL+XyuYrGoRCKh0WikTCaj4+Nj7e3tWSTrIUWMNlFFPB5Xs9m0902n0xbNZzIZ/af/9J9UKBT061//WpLUaDTU7/dVKBT0+PFjOzmT6K5cLqtUKlkk3W63Q+MSyrdG7gyLZbNZMyAoYyKHXC6nvb09SbIEcj6f171791QoFNTpdGwTorQJ+YvFou7du6d8Pr9xNLJnnZE45m98u5fpdGo0TiIUTvnL5/M6OTnR3t6eQWqw06RrJeNbwPgjcWEIwQB6k/Yb/jjcdDpt0UO73bbcUqFQ0M7Ojh4+fGjtSR48eKBisaj1eq1cLmctXoBvqNT3kBdwpS8k5fn5Od48Hnm/3zejMRgMzKCS6wFCIzoBPksmk8ZOy2Qyms1marVaevXqlQ4ODgzeo4p/GwFuJSJbLpcqlUrGlmNcOdGR9UeUQhFkr9fT119/bTk1Cj739/cNsoVCf3Jyonv37lnxom/2SY1MJpNRsVjcOAOmUChsUOE//fRTM0I4ZByVjGP1+PFj7e3tGcU5n8+b8Zau2wRVKpWtI79QQvldy62NCxvhwYMHxlpik6DwqH2Qbg6disfjevjw4cZRuVBriX4qlYoeP35sx8/yWa/wPaUZhheGZzweWwsV6YZ8QPQSi8UMLkJ8Q8VgLgVMHmUgyfI028JiKL9cLmd5iE6nY0p8f39ftVrN2sHjhfOce3t7pmgkGZUaZZ3P59XtdiVdOwCcGurPavcMMV8rwjkos9lMjUbDDAyfp2UOyW2KCTHk5XJZBwcHFgWuViv1+321Wi2DTIE6KWTdRjgZkh5qxWJRJycnkq4bUHY6HTM88/ncOhkQPVE7RCQKlEtiH4ajJB0eHuqdd95RrVYzqBdoiuszVzg1KH5IJxBTqtWqQbrVatWgROA1b3jIR+7s7KhUKpkT0el0LIoJJZRvg9zauBCO7+7uqtVqWaPESqWi/f19U/CDwcA8WxQ3niP0VJQNXtu9e/e0s7NjyXPfFBMmGkoKBk8kctNBmCgEhQo2D1tIumF8+RYm3Eu6qcr3tGS8XhK0GKNtJZfLqVarSZLa7bYmk4lOTk60s7NjyXRYcNRVYJSAXkj04gHTwgYvXJIlooHE6A0GqQI4x7eKAeenewEJ+3Q6bZEqzgKUbSK6bDarSqViXjfXms/najab6na7G/O1jXiGWCaTMUMBgYGq/cvLy41eXBA2PPkDB8HX9DDfuVzOmHAYbiIiCmmDa8qvXRynYrFo0ST7wbf58bVGwJbUtOzs7Gw0IF2tVuZQhUWUoXxb5M4VbdAoj4+PbcH7Q49o/YF355v7kXAFtshkMpYnQJHzt97zBObx1GMUBUoDGIRaGd+Y0Vds+7blvnOAV5YYIDoL+0hrWyoylGM8ZwwNStwX7wFZEbUA/2FU6coLrOg7/cK+g93G+2J0vZGGIkwEyNnzvkEiXQLI2fh1wL/MOxEnBmS5XKpYLKrb7Vqvrm2VIwal3+9/o0bH96zb2dlRLBZTs9m0aIT35/5Eqjw3Ri8ejxt5ATYY6+B1p1vi2MxmM1WrVSUSCeXzeWv2iWFvNpuW/yLCwQgDY6bTaR0fH+v4+FiFQmGjgJM83Zusv1BC+V3LrY0LyiaRSNjxq3hm0s157ul02pQjtTD8nKK7IKffKxy8TVpsADFgIHyvMN9rC+WGkfBnn/uzyr1i9c9dLBY3el/5/AoKnOT3NgJDjn+BUHx7HK4NPOPzJLwTEcBvalmDoeE6XlCu/ox53xQTYgZsPObQt9n3eSPmQdqs/wl68XT6BWbbRnBGmE86NAyHQ6vPWa/X5lzk83mDyuihRgU8706+hi8Pm0HxJpobjUZm4BkHjBJssXK5bDkzHCHgT4p/J5OJOVQ4GZVKRYVCwZiQzC2tgfi/n/NQQvl9l1trSorE9vf3jaKK14pHhddbKBSs5QYKjdYfKH3gCunmjBdYOHjtGBmSub7aPlgv4Z8Fhc09yWXA8PEGylOZfX7F4++wqqTtiyjx6ukUAPTmr8v/vaGBfAAt1bcuAVLh+sCBvAMMOjxvn/dBITOm5LiIGlHkQGG+HQoG3EePwIpcD+gHWJR33Hb88vm8vSfzA5PQRxFE0zS4hMFIDzvfdl+6zk9Bi8dQ+p5zRHWscbo++MJU5gKIMJ/PbzhXMNukG6eFdUdExNz4iBMDT31WKpWy+Q0llN93ubVxOT091Xq91oMHD1QoFGxz0SgRjzaVShkNFEUKa8Z3SMZw+HYk3mCAL2NUfHsZNp7/GRsfb5J/UcZ4/b4mh9wOiheYxEM8nhVHpLSNcG3f9JD35vl9rskfd4wyIsLxcCHQGV4yhgJmE1550IiRW/CNOfGUUXT+1EXfscB3Zub+fm65pocfSbRvO36sudVqpWKxuHEIF1Cc7/uFYYU95iE5ntOTIjjDBYMo3bT5x/nwORTGPpvNbhguTzhh3UwmE3MsMLx+PnwdkI9CeUYcrMVioVQqtdX4hRLK71pubVxevnwp6bq+wBfHwQBD+fqEJz+n9sL35vKYv69+R7F5TN8nM9nEvl8UCWZfgU4kAozBM+Gt+3yEJx944+KbEAY3/10lWITpT3L07+8NGT9DWWKMMSDUeaCsgO94Jw+9kPhH6GzsW+b744OhINNSHiUe9KxRkj5hzpj5Q7r4m21hHejivBdJeKIVr6yZO2/4pJtIFUPKe0Wj0Y0D7qSbdYeBwoHyc0VECyQXdIIwTr4+BscG54Lr+bXta5BYM97RCSWUb4Pc2rj0+31JUrfbNdoq3hUwAorRt0zx4T7KDS/c1wzwcz7nDQDMKenmYCwULc0saafOBuV5+ExwU2LUvGFBPMTmDZk/Hviu4pUxUQX3R/n5M2V8REbE4pWXdGOgfMsS4CCu5yMen9D2XRE8Ldw372Ts+J7nxEAGk+OMF942MKSHM7elcgPTYZCTyaTlOFgbjI+PUBgTP+5879cHkRDvwbj5kzf92vb3gPru35HrEOXxe8bV/8wbZeYdxqA/FiASiWy9/kIJ5XcttzYuGIBWq6WjoyNTHiQ5UehsFp/o9/AJmxwBhvA0TxLBKCq8ajw/FATJcZoFYgDpweWT79z/dQl7X+/isXWMHEaF1jLbCEV4RAKME+/u6c+Mn8+9oDT9M2IQpBuF7z1y8lt+DPgbbzS8YvWHcmGQiFT5OdcIQoWRSMROfySi9ee+B6ODuwiGI5vNKhqNWrcGIlQ/v56wwTyisD01mPHwTESIDYxFMCr2Tgjjj+FjTnC8uL5fh8E16KN3n48KklMk2fEFoYTybZA7HXMsyU6ZlGTMJE/pfd3GljaVo2fCeGjFQ2TD4dAKzHzOAUWCcvY9yIbDoS4uLlQoFMzDJb/gTx0MUpI9ecDnksjP+I7O2ypHz77iy8N1NO2kwC9YSOoNAw0NIR34LgUwqehf5hP1zCNf/ngByAG05mEsiIikmz5uXoEH4UUcAIgTfO9pw9sIRwdTyAhk5RW/hxR5Hh+FeiPkIzicB+aYuiHWi6/dwTBjfOm04M+zIdr0UTufCUZVr9svrHe/5n0LnVBC+TbIrY0LBWXD4VC9Xk+FQmGjt5JPUPukpceSUTQ0VOz3+6bcPCSA9yjpG0rMK1CPpbNB6X9FhJDL5TYiBEmmODEkwBee3UaNDvUKPPe2ORffvJNnINGL8rFJcUWe/l8UF12ceWYUG+PCWPMZP/4+T+B7imEgut2uYrGYdawmMkGx+VwZRtIXJXrjSXQDVEduZxuZTCYb9VSsLcRHy4yXjwh8noR/WQPUQtGB20eLGApf1Y/hol8c1+KZcLgkbYyb3w/+Wfz8eyeCv2EcMa6hhPJtkFsbF5QitQO7u7sbJ+cFk7V+Q6O8KaQcDAZqNBpaLpdW/+Ar0T0GzmdHo5F6vZ4ajYadweHPTAe+ojqbs1u4bz6ft2gGA+IVDHASygNPFqMARXpb4+KhNR8t4NH6pC5wjPdkyXn46ACFhNH1bd95pyDJwjOTMEp4x/l8XldXV3YODH8PI5D7SjJF62uSIpHIxpHNPAuG6E0IEb61jzcU3mgG6cEeJvPj4aNX1iMGgcQ5ESGGN8hm5Dr+vtSo4DgQnXo2ot8X0o3zEFyT/vpEppw/FEoo3wa5U1dkpNFo6L333rPF7xO13lv0m883aWy322q1WiqXy1osFur3+xsHJLERUQCz2UydTkeXl5e6urqyam8PieAxTiYTYw+t12urcZhOp1b3wgZH4bCZfRt6bwz4v4fS7iqefu3hGJLU/N4/V9Dw+DwWxoX3RPlms1kziuPx2I7I9XM4m82sVT2tWaCQS9e0c+qaPNwpaUOxe2Pso1KUK7kIfkZks414SruPoIIGhmdkjL3jgaMh3USvtAzy1HMMDo4T/cx87RHvyymrPsLJZDJGa/b7gufxEYyPWnxU4wsmMc5EL6GE8m2QWxsXFn08HreKYyrgaSjpoRhP8UVZ93o9Mw7S9QaiwSGHY02nU2vQh2IYDoe6urrS+fm5tSkHNqPbLhRjnhGcerlcmgLgrBiiIx9RYVxQQhgT74n7Wom7ijcuKDFPl/VEB+/dAl152MVHJhhL/g9lu9lsGrGB6nCS2oPBQM1mU/V6XYPBwOo3FovrztOJRELj8dielef1CtIbSubJQ2HeWFJ/E/Ta7yKr1cq6NPA8PndGyxtp80hk5tm3IeKz/l28c3F5eblhHDD+wJXAfJ1OR1dXV/a7yWSycfQzzgPjxtziMPg1FTSSPI835sHoKZRQfp9lK+NCvmRvb0/dbteMid98HjsmwdtsNtVutyVdN/vLZDJqNBpqNBp6+fKlotGoer2e9dxCaQ4GA9XrdTUaDXU6HTseeb2+LlibTCbW+p1IxtdmUOHM36FAg963/8LIeNqz9yzvKh5uSyaT9i/PgJHg/ygglCZj4WGu17HcJFmlPmeL0DLeK8V6va56vW5NKqVNiIbcjc8J+UgqaGx84l6SvSOJfK67beTiqc2ZTMYiVSIO8jn+WTzdF0Ph+9PBNOPETuDU8/Nzi3Z7vZ7m87mdYomBH41GtnYZh3Q6rel0ak0niRwZR+8gYEi8MfFwJ9Gfj7hwdkIJ5dsgd4bFUDDtdlu7u7vmTQaLGH3UAszQbDY1m83snIpUKqVsNqv5fG6bGM8a+iX4N/3FoJNS0+LrOGDUSNrwOmmVPxqN1G63NZ1OjarsKdXemyTH4g/Z8h7oXcUTEqDTBhPvvkWIN84wu3xCWbqpfKfbNGM/HA51eXlpik+6Jjpwz8FgoKurK52enqper1tn6v39fcViMfX7feVyOYs2eCb/7p584RWlNyCMo/fOtzUuGIjRaLRRg+NzK5FIxCIbHykAG6Kso9GoQXbr9dqOlu73+5bXI7q+urrSaDRSq9Wyg+wmk4l6vZ4Gg4F6vZ4ZglQqpcvLS5XLZZXLZRsTzpvxjEXWsYfFPLsOiNcbmPV6vXVvtlBC+V3LrY2Lx+2TyaTq9bqq1ap5eMBQwbYWKLNut6vBYKB8Pq9KpWKRQ6lU0s7Ojtrtth0PS54DWAClhVGhxsUzn3y7F1+cycbF6+Q5+JmPUrxy9JBFLBaz2oc3Ea88KH6UboonibSCDC+fQyBX4999Pp+r3W4rlUoZHfsnP/mJms2mMfoYN7zuy8tLffHFF/rqq6+0Xq/10Ucf6YMPPrC+cMzDb2JZ+dyAr4uR9A2aNz8D6tlGotGowXusM+BKihZ9VbwvSAVa5QRVmHA872Qy0enpqTqdjjqdjs7Pz9VqtRSNXh9VLEm9Xs86FkynUzuIrtPpqNls6uLiQtlsVsfHx7p3757K5bKRIHZ3dxWJRCw6Yryy2ewGvZi1BxSLUwabzTPzQgnl913uDIuRgB6Px3r27JkxYTwu7SEkIpfxeKxoNKpKpWKeO2dYlEolOwkQLxTD4D13PFWYU76mAKPik6X0jkJpo3D6/b4dC+BhCiAJFKrPjwTH4a7imUK+6FC6iU6AdjzbyStPFJMfW9/FNx6Pazwe69WrV3rx4oXBO8vlUru7u5YLATIbj8c6OTlRPp9XMpm0EzH9Eckoc08sIM+G8ffRVHAeiCbehCnGdekwjHHwnYdZI7QaYkwlGfV9NptZY0mgQFq7eNaYZzZeXV2ZAe/3+7beuS+OE3VZ3shz2uRwOFQkElGv11On07E6pWq1atGQZ9thUOjmDGPxTWDZUEL5XcudIxfpBhLh2GJqSqQbL9xDTDT242wQjyvHYjGVSiX1ej2r9McrRUH5pLVXvhgyT9NFMaAAeV4KFoFL8AQRT0SQtJHwDcIW20iQQUfOxbPigOl8kh9F6d/VJ82l66aOkiyfVS6X9Z3vfEe5XE7D4VBnZ2cWLfk8zgcffKCDgwMVCgXNZjPV63V1u13t7u7aIWGcOe87Rvskup/nYOcBn+jn2X21+l0EWnCz2VS1WrVx81RzP48eguM90um0yuWyHcKGIaUpJnVIxWLRilAxljgjvpEla59TOxFf7wOkxnHIq9VK5+fnqtfrarfb2t/fV6lUsuJUGIrD4dBgNwwN4xlKKN8GuXPkgoLkZ+Px2Lzu1Wr1jWp94BA2safNkkMoFAo6ODhQv9+335HDQVlhsLzSRYCHuB7RFUocIbpCqUMh5Xo+weqxcG9wthWeH+Pgk+RcG2Mr3XQe9kWmKEveK5vNarlcqlAo6OHDh/rxj3+s1WqlcrmsYrGoWq2mXq9nNRxEmKVSyc4PSafTGo/HdnR1sVjU0dGRwWODwcBgR4gBnliA+BoSvufLv+u20CLU8+VyqXa7badyjsfj1/b+Ipc2Go0sciiVSlqtVsacg62YSCSUy+VULBbNoHBYnY/CPVxVKpXskDe6UPM5X3Q5HA5Vr9c3alSy2awuLi706tUrXVxc2GmknrrNfUajkfr9/jccilBC+X2XrdxIX3fhK5Yp9AI6CJ5VAYtptVrZ5oM+u7+/r2KxaMlpajW85+uZaJ69hqfvlTFKHC+w0WhoPp/bWSYeJvMRjYecfN4D2XZzk6T3njudBDxzzXvLKBQgRN7LM8Ywlp9++qk6nY6ePn2q8XisYrGod99914w5xsofj+A/j+EoFosql8sG/cDQwjB5I0+kGEzukxsAYuJv3yTyI/Jar69rlzwLkKMDfL0SkFKz2dRqtdLOzs7GcccwxehwwOmTJNCBoSAkYNyZA+DAoDNAXQzvC0HFn8Q5n89VKpXUbrf18uVLdTodnZycaH9/X9lsdqOdD9DbarUy4xNKKN8GubNx8RARSsVvfBa/j174t9PpWFThlSiKnfPQPW6P8fLJfY/9s6k9ZOaVIPBEv9833F2See0ewvFetc8loECC3vpd5HVsM0/zZTy9kvLj6PMc0F4lGXyYy+X0/e9/X4eHh3Y8L3j+YDAwNlkwyqQ4kRMVPSkCQwTpAQqwz6HAyvNGGUoyxsWvnTehcvOMvrh1Op1aO36ETg1nZ2dqNpt2wiNrA/o6c75arVSr1Qz+IjqbzWbqdrsGiUEk8PkwjJUnE9Auh/nzCXnfT+/4+FiTyUSvXr3ScDjUfD7X7u6u5bigRsMse5M6q1BC+V3LVhX63sCAXdPzCM8V48DP8YCBJKSbeozRaGT38NRaX9DocylBA0fFOn/jlTPKqNPpaDQa2amAeK5ALShNIgSiFhQ7BnJbWMc/PwYGpUQ0FIQeMWY+kkGCrWB47v39fdVqNa1WKzs4K5/PW7IeIwdMw3hL2uhbhbL0Ed1oNLLnICr0UJ2fA79WMPxvUkTpz5+Hlk6iHQdCuqGuNxoNPX/+XPP53HI0/vl9Yh5D6/OHrNFSqaRWq2UMQ9aWHxtJloshMuXzjAGdEFhTzDu5nbOzM/v7Uqlkz8n4URAcSijfFtkuu/p/JIhv+9oB4C7w8EgkYlAFRXrNZtOMEclmciHkAHz0Id1sbqipnU5H1WpVsVhMg8HAmDgozU6no0ajYdh8NpvV7u6u3cu3Uscr9RRg76V6OO6u4qut/X2lm1YqPkrx7Cv+742mV9JEWBhZHx1Go1FLdrdaLcu/0IEZBU1k4M8mQXlyL9h3zEewfsVHKhhRTyN/E8ZYsL7DOzBAV9y73+/r8vLSeqRVq1VjcAGnMa9EBfF43Lpnwz5j7EqlkjqdjgaDga1t3m08HhthxBuYYC82Xy9FVBiJRIy91m63dXFxYaeGQu7wzVSlN8v7hRLK71JubVyCOYmgB08RGW1YgEoI8VFKiURCo9FIL168sCjm1atX+sEPfmDNExOJhNrtttXEJJNJq8ovFAqqVqtWa9NoNJRMJnVycqJ6va6rqys9ePBAz58/1+eff65Go2GU3cPDQx0cHGhnZ0flclm5XM5yDV5BeeWJh0ptybZ1BigaPo9i9IaEMfYKxCfF/d9gPDGCRBG+jsZ3KoDhBBwEhEM+xTPXksmkRqORstmsKVPfyoXrshZ8kR/vAwWZ9/URzDbSaDR0cHBgrWowWNls1saCfEWv19NoNFImk9Hu7q4ZFMYTA0xOkCiGOSevRWS5t7en3d1dvXr1Sv1+39YBxrhQKGzUES0WC3Nw8vm8rXuiaEkGjcGWrNfrFp15KNhX5IeQWCjfJrm1cQkqPOnmkC2we2AL6QYGowo/nU6rVCrp4OBAuVzOFEKr1dLPf/5z1Wo1/fCHPzQa6Gq1UqFQ0KNHj1StVtXv99XtdlUoFLS7u6vlcqlcLqdms6larWYtXUajkTHOIpGITk5OdHBwoL29PR0cHOj4+Fi1Wk25XG6jNxpfGBaMo/fOg5v9LuJzJhAL8IDJa/jcC56+N0Yk/xHqITA4eO5EYL4wMx6Pq1QqmeLEmPhCQiIfCmMHg4HNBV46tTi5XG6jeSbK2RsX6cYZ8bTqbQTWG0aZGqRUKmX5DJiLRDmVSkXlctkgPMaGHJV0Q1PPZDLfcDSYm0KhYNDU1dWVjTvjCr1ZknUQIHeI8WNOYCgyDslkUvv7+2o2m2o0GtbGiHGEfcZYbpvzCyWU37VsBYsF4SEUCZ1w0+m0MW7Ix0BFjkQiqlQq2tvbU6/X09dff63FYqGrqyujX9L4L5PJbFT0s+lRcFRIUyg4Go2stUk2m9Wnn36qSqVihZu05aBoEA/YUz9hqHnKM94/UcQ2guIFPvTwnqQNQ4bRxtCQVwBG8fAXCp45QeHhjfO7aDRqBhi2FIo0lUptVLtzpkun05F0A4fRpodIIJPJfOOZ+QrCX8FK/7vKq1ev9MMf/tCiLCJJ6O04BzgNtVpNJycnqlarqtfrVnzJ+2NcvRNBsSqt86E30+cO6KzX620w6GiGivHAeHnYDEOOEZSuCR17e3tKpVLqdruSrkkthULBCjrn87ldH3QglFC+DXJn4+KZWpI2lBobhzwL/bzAo8nBjMdjFQoFHR4eam9vT+VyWc+ePVO73daLFy+USqWsQLPb7er4+Fjr9Vrn5+eaTCaqVCqKx+PG/+92u6pUKsrlcvrOd75jNRls/Ewmo2QyaTUJ3rPmXyIKIhefgPYEgm17Y5HTwXjiedNsU9okSvjxDdKRfZElyozoAIXoa4OAuqhK5+98oSjRpyRL9g8GA4vWeEaMKwYe2FPaPIQtOL5vwhSTpL29PV1cXKhSqZiiXy5vjmButVqaTqfK5XLa39/XgwcPdHx8rEKhYDR3Wrz0+31T3vRRy+fzFvkUCgWl02mLblhDQFi+pT6FkkC8Pnc2GAzU6XTMgMdiMY1GI3W7XSWTSe3t7enevXtaLpc6ODgwSn42m7VWMThCPjcWSijfBrm1cfHV7j6x7D1sogcUWTQateZ7eF/ALIvFwnIe6XRaJycnkjaV/Gp1fWY6Cuzg4MC69bKJHz9+rEQioWKxqEwmY33OSJpj1DxdlGjEN4r0is/XZfhoxZ/PcVfx0RB0Yt6RMaV+wo8piXEaJnI+PRAZ5AM8Wp7Zn0gZi8XMwOKt09qF9iJBMgPzwrOTqyFPhCPBvYM1Q77fl68X2Tbyu3fvnilqKNKsPyJj8iVHR0eqVCp2amWpVNLDhw+1Xq/1+eef68mTJ2o2m2q1Wlqv19rZ2bFIDqNCVJJKpVQoFFQul1WtVlWpVBSLXfeo63Q66na7djAYhhr4bjqd2vEQHnItFov63ve+p729PeXzeTUaDaXTaT18+FB7e3tGfebdoDeHEsq3SW5tXDzW7xVxEO6Am48CoGeTP6KVqnASyzQEJIGOYkJZeIoohWV0uYVGGolEjF6MgkMBk2cAv/ZHDi+XSysy9O/i6cAUInrq7V2l0+lof3/fSAl4ub6WBsUtaSMK8RRekupEI4lE4rUFfxgi8g8oSrzndrttNRw4DvF43M7HofqcpDfQFywzChgZd+mGhu4hPtbEb4LLbiscqz2fz5VOp02RM6esD96XM34oyE0mk3r06JEikYja7baePn2qVqul8XhsbXOAYj25gZwLcC9EkPl8bsYZowmDjMPvUqmU1Vedn58rEono8PBQR0dHeu+993RwcKDpdKpms2nPl81mrRAW1h+5xFBC+TbJVr3FggbFM5lQ1sALQDfD4XBj8/qEKVRZ2px7aCeoZP2Xr0kA6iI3w7WJBogIhsOhKXUSpySqPRTlIwjICcGiwLsIdTY8H0aQSA8YL1gkihEiv0KuAWUPJAWRYTKZqN/v24mfHPcMTRZKOEcl0NSRPEAymTQvneLDYrFo/a888y9oHDHGKFvPwHuTGhdJFvFKN+uP+xM5ETn7pqREiNK1gXr//fdVrVb1ve99T7/61a/07Nkzq39Jp9O2lmGC+Q7MUNuZP18fU6lUrBU/cCfXKZVKKhaLOjg40MOHD/X9739f77//vnK5nC4uLjSbzYxw4lu+cH3u72tnQgnl9122YotJN0wxSd/wSIleEomEVXVjXCjs86QAYBsS88AuQZwfOAtP2Ff44/X77snSTf7CF/759h38DMgLxe4LK2lF8yYHNRHBcc4HMAoGmRyMT/B7Zcr3KGrGGFIDUQi1RJeXl7q8vDTGHh43nrWPoPyckdDneIRUKqWdnR2tViuj25L8Zl78XPoiS4wL8iZUbo5vZm7i8bgROEi4S9ekEroUA836QtlIJKJqtWpG4f79+xZpYMTJccByBF5jHoigcWLI5Q2HQxtD5ssfR1EsFrW3t6cHDx4omUyq1+tpOByqXC5bcS/kA9h7Hq6UFBqYUL41cufGldJm88rX/Q2Kvt/vG9XTRy8Im94zcQj/MTK+tQiGwhsyPDsPa1HN7CEar+g83IXxCLaX8cYIGG2xWGzN1kHx02yS9/YU3WChKJFbsLaIsWk0Gup2u6rX62q1WjbWRFp42VwXD53vgdaq1ap2dnYs2YzChC7t+5Hx7D7vE6yB4h34mWe/bRv5AdnhXHBNIFJPzKAg0fev88WeXG93d1e5XM6MEYWOrCla8zMOCNEshAd+l0wmVSgUzPCylhinfD5vNVp0q4hEIqrVaioUCna6Zbvd1mKxMFYhebf1eh3CY6F8a+TORZTSplft6aeSNiIGPM1CoaBo9LoDLV4eGxKFT24EqAoFwj38vf3zBNlIvhAxSDX27CZfR+IPC+ML79RDZiiqbWS1WlmdDkwrr5jxjL1n6iEaYETpur4lGo2q2+1aRDQajSxXIsnavvDe3hmAigttl2aeRC+MD1BauVxWoVAw2I58GR7+byJ4+J9jlLaFxiB3oNi5NsQClC/QGEnyUqm00YXBw6fr9dqaXq7Xa4MmMeyMC1AukQvzQTQlyYwM685HwkTY1HCt12ujfsPMW61WarfbVkfjx5LnSyQSarVaW41fKKH8rmXr9i9BmMwrL29wgLqoRxgOh5aQlW5gFEmGMfsiTe8texYX//fGBoPhc0C+15U/DoBcEErARy7UTBBt+JYd28ISdB3Y2dkx5UiVt29g6ceQd/CeMclrPOJcLqdaraZmsylJ2tnZUTQa1eHhod59992NaAFFvF6vjX4LPOSVr/9MPB5XsVi0fATRIIy3oGOBQoTezLX42bawGLRcYCcMM9CTJ5wsFgsNBgO1223rToDRYC15J8EXPTIXGE4Yh0BjODCMP+MBccA3/8QpYb0xzjgXPhocDAbWcYIISrohSXA/8pKhhPL7LlvBYj4X4L3iYBTDxiEZiXLI5XKmDKivoHJZ2jxYC4MQrKvxz+KTt3imPorhGkH2lS/0xAjBOAJugbmGstl6oB1zjlwHNUEYRT+mHhrzZ7HAiJtOp1bNTV7En5TonxmvnPwM9SBUr2PQSZCjsHken4vgWam5wTAH38HXEnFtoshthPsTXVH1Lmlj7fhcB2fR0PqGiCPoSDC2njTCs2Lc+TdY+8R7Q1Lh/hgUrslnye34I8GBXq+uruwoZn7n4VJJVtgaSii/77K1cWHxB5WiNy4+iqAtBgypdDq98Xtp03Bwj2DSHo8VDxtlAbxFhOMhGX9tFAdtTjzFGChsOBya0QFK88pnG8Hbpbkmz4Ox8KQEr5gYD+9R+zNzJJkBhBLsISJJG4aRPEsmkzFYx/fdwhHgmkCDPoIKFkh6woU3JEGYkSh2G0HpU1gL887Did5gRCIRO3rAn6/iFTqRtW/y6a8BvTt4FIGPqJkvaoH8GgxGcv50Va6xWl0fXtZut62xqI/mfeeA6XQaRi6hfGtkK+PicfXfhKF7AyPdeGCz2Uy9Xs+6waI08OR8zYWHKYA3oJ16aq5Xcj4hi0fqE/SSLGKB3UNNAUlaD4X5Lxhq2wjX4Nq8JxX20s3ZLX4MfccAcH/eFegJpQMu7yEgPkvymLGGkuwPxsIAUB8CmQKjhZGgLQnPjfL0NGTf/DNIzthGyJ9R8zQYDAxe9XVC/r5+Dfieaow7kQRjyrVY30B40N09a4taGJpU+kLTIGRLhIdz5Eka8/lc/X5fzWZTw+FwYz8xnhgwWGShhPJtkK1zLmw0Fr60CYsF6cDg/Ov19aFhnCmOgvDMI7/BJW0oCu7t8y8oFOkm90JTSl97w2YFnhoMBq9t40HuB8PGM3DfbccrCCECwfnCTwgH3vtFyUUiETstUZJ1PmDcKJoEBkL5MU5AYMBLRBLkBqDX0hZFuml9gvElusOwedq2p3d7Je/htjcRjEM2mzUmnFfknrru83IYR57HrzEiA67P731jT59UZwzIf/k8FQ6Ah2WDORP2Dc4K1HHavbCevfHhs81mc2tYMZRQftdya+MSpJDyvY9eXmdYPAUUBtPLly/VbDaNyYM3yebk72kpH1TMPmry9/PFlN4Qodyg6Ha7XfV6PfX7fatQJ8fiWWE+5yHdREbbCM+P4uI9UOb83htRb2B5Hq+YgNfi8biq1aoxyGg5L93URQB5QTP2xoLn49pEe9ls1hhOkjZYdRhfb1zoQwakFKR1v4mg0OkXR52Lz2X4PAbPhUEmAuPZiXL4W09lxwCTp+L9ME78nznDQaBtTDQatWJKjLg3Up7FOBgMrEVMkEzBM7KGae4aSijfBrm1cfFwkGcKSd9M5PufSTeFjKvVys5o73a7urq6Mg+bpLJni/EZlBvKIpgsBq5CyfhkNMlSch1sZpoXjkYjY4x5j9WTAbxH/CbGBU+XyIEvf4wtcJwnHvjIhd/TzgVYjXb6nH1DLonPj8djU2IYBgwZOSUIAz4JTp0HuQGMLxRanom5ImGNcfFV/NI3nZTbCpESnR9yudwGjMTYMnfRaNS8fH/qJOuGKILn5zkZcx/1YfR9JMP/oTTzjNHoTT89jMtkMrGWMXwWerw/7gFnibyYdHPo2mQyUb1ef+PoL5RQfleyVYV+EDcPRirBv/ORDdX4kqw1vmfVeCjBe/JAEihMn2D2EIf3AMkzdLtdazA4HA7tVEHapYCHe6YVXz4ZjpLeRsDkPVMOZcPz847r9dryIt7790lgDIGPELLZrLLZrKrV6jfeb7G4PjCNn3MPDAtGhX+J2OiyQHRFR2dql5gPnx/w74Tx9BTmbcfPQ4c7Ozu6vLzcIEfwdxg/KMIYydXquiEnUZ2nL5OI98bGs/Qw+BgxvofuDrSK40DE43MtvD9zxu89jIjx9gSE5XKpy8tLo/GHEsq3QbZK6PO9z7cEPSoPV/nN5M8aGQ6HevHihZbLpXZ3d605IFCDJItG/Al9vm4FDxUlQzNLGF/L5dLYRRyfDCTmacYYMjYzz+lhjG29bgRFBNwRzFEFIRFf68D3JOSBt6SbxpAoMX8iKFAg+ZlSqbRRN0THaIyM7268XC5NmU0mE5sbz5rzkYr/Fw+d+1BYuC085p8rFoupWCyqVqvp7OzM1pg3bhgi1i3j3u12bd3WajUzIkQO3lGhDsg3XfUsPL73fekgpXi4EbhuvV4bkcA7CkHiA+OGsRsOh7q4uLDxDiWUb4Pcybh4Gq6nnwYhMf8ZSRubSbquHl8sFspms+r1enr16pWi0agKhYIpMTasp5l6zJ97gqP3+/2NojqME3kVDw1RiOdzKj7P4SMmTwn2nu5dhevyjEA8VHYDy5DH4DPewKCkMDZAWd6zppaD587lchstSXyU5HNceOSSrDO1hySLxaKNrc8/EJkwJz5y8UQLH4VtIzwnY0KDzXa7/Q3GVzB/BQMuGo1uHNTG83hHAoNMVMY7+QPqeAYIBjgx3J/xYW1xfAGECyJDT4DwOUPmnnu12211Op2NCC2UUH7f5dbGxRsWJEibDBogu8n/gVc48IhzV8DPW62WXrx4ob29PWutzubyfbB8/QT3A27AgKDs2Jgk7IlY/Bnyr6tdeR39WNI3/u6uwrWAsmAb4c37fAvQIGME/DeZTMyQkMPxrWE8tEd0xAmgvtO0J0cwt96DjkZvzmOhizMt5qEA0x8L4oVnUwH/wMxLpVIbp4huKzyzh8YuLi42HAWiLz+3q9XKTknF8EHrZqwrlYo9LxX/fJ6ciHTDfPTRGHk+unsToZLbyufz9hkgSEkbdT8+8vPsvtVqpdPTU/X7/Y1i4lBC+X2XrajIeHNsArxxabOpJUo8n8+r1+uZJ8gmy2azppz6/b5evXqlQqGwcWKk//KeMcqQe6OMfYNKfgblGI8exU7E4p8Zherfwf9uW6nX6/r444/1wQcfmKftWUsYEpQX9/YkAqBBlH+woNTnBXhWEvNAZZ6Y4aM0D12SC2BOaTff6/Ws6JPxh76NYZe04ZUzD0CS28Ji8/ncYCqcFGA+zyr0tHYMDeMznU43xsBHcxypTcElBovn99AXSXpvKAuFgnWNhrkmaaPVEfAj4+vXlicm8HvW7vn5+RtHzqGE8ruWyDqMs0MJJZRQQnnLsh2vNpRQQgkllFD+LxIal1BCCSWUUN6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