{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "3XueErKzhVZI" }, "source": [ "# Clustering \n", "\n", "> **Importante**: Il contenuto di questo notebook proviene dal noteook [Kmeans Python Data science Handbook](https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.11-K-Means.ipynb) . \n", "\n", "Ulteriori references si possono trovare ai seguenti links:\n", "\n", "* [Python Data Science HandBook Github](https://github.com/jakevdp/PythonDataScienceHandbook)\n", "* [Python Data Science HandBook Colab](https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/Index.ipynb)\n", "* [Kmeans Sklearn](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html)\n", "* [Example implementation Kmeans numpy](https://flothesof.github.io/k-means-numpy.html)\n", "* [DBSCAN slide spiegazione](http://staff.icar.cnr.it/manco/Teaching/2005/datamining/lezioni/lezione11.pdf)\n", "* [Sklearn Clustering Come scegliere l'algoritmo di clustering giusto?](https://scikit-learn.org/stable/modules/clustering.html)\n", "* [Kmeans from scratch tutorial](https://mmuratarat.github.io/2019-07-23/kmeans_from_scratch)\n", "* [Silohuette score explaination](https://www.youtube.com/watch?v=5TPldC_dC0s)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Qq0e4wncn1IJ" }, "source": [ "## 1. Overview Clustering\n", "\n", "Apprendimento non supervisionato. L'obbiettivo è strutturare i dati in base a qualcosa che essi hanno in comune senza avere una conoscenza a priopri di essi.\n", "\n", "Se volessimo creare un classificatore binario capace di capire quando in un immagine c'è o non c'è manuel dovremmo avere un dataset con immmagini di manuel e immagini di altre persone. Tuttavia avere immagini di tutte le persone del mondo è complicato e pertanto risulta più facile usare un algoritmo unsupervised (non supervisionato) cioè che non ha bisogno di labels (etichette). Pertanto dato un dataset dove vi sono 100 immagini di manuel e 100 immagini di altre persone vogliamo costruire un algoritmo capace di raggruppare le immagini in manuel e non manuel senza avere le label associate alle immagini.\n", "\n", "Obbiettivo è usare unlabeled data (dati non etichettati).\n", "\n", "### Clustering Applications\n", "\n", "#### **Che cosa si intende con il termine clustering?**\n", "* Clustering: raggruppare elementi \"simili\" dentro dei cluster (insiemi). \n", "> It is the task of identifying similar instances and assigning them to clusters, i.e., groups of similar instances. \n", "\n", "#### **In che tipo di applicazione è utilite utilizzarlo?**\n", "\n", "* **Anomaly detection**: l'obbiettivo è imparare il significato di normale. Vogliamo essere in grado di distingure qualcosa che è normale da qualcosa che è anomalo. In particolare in questo campo sono molto utili algoritmi di clustering basati sulla densità (density estimation). Dove vi è una alta densità di dati avremo qualcosa che è \"normale\" mentre a areee di bassa densità corrisponderanno delle anomalie. \n", "\n", "* **Image segmentation**: l'obbiettivo è quello di semgmentare l'immagine in diverse parti basandoci sul colore. Il numero di colori (o numero di cluster) lo definiamo noi a priori. Per questo tipo di applicazionee algoritmi basati su centroid come Kmeans sono adatti in quanto partendo da un punto aggregano i punti ad esso vicino in base a una condizione.\n", "\n", "* **Preprocessing**: Clustering può essere usato per capire quali elementi del dataset sono più importanti di altri. Per esempio se consideriamo il MNIST dataset esso e formato da 70000 immagini ed è diviso in 10 classi (0-9). Se volessimo ridurre il dataset mantenendo pù o meno lo stesso contenuto di informazioni potremmo usare la PCA ma anche il clustering. Infatti un algoritmo di clustering come il Kmeans con numero di cluster uguale a 50 ci ragruppa le immagini in 50 classi. Qundi adesso pescando 1 immagine a casa da queste 50 classi possiamo allenare il nostro classifier con 50 invece che 70000 immagini. In questo caso è imporntante essere sicuri che il numero di cluster scelta è ababstanza grande da avere una rappresentazione significativa del dataset.\n", "\n", "#### **Come selezionare i clusters?**\n", "\n", "**Elbow Method**: Si basa sul calcolo dell'inerzia per stimare il numero ottimale di clusters. Tuttavia l'**inerzia** (inertia) NON è un ottimo modo per selezionare il numero ottimale di clusters (k). Questo perchè tale valore tende ad essere molto piccolo all'aumentare dei clusters (k). Infatti, aumentando il numero di clusters ogni elemento sarà più vicino al k centroide e pertanto l'inerzia diminuirà. \n", "\n", "**Silhoutte Score**: Il coefficiente silhouette puñ variare da -1 a 1. Un coefficiente vicino a 1 signitate che l'elemento è dentro il propro cluster e lontano dagli altri. Un coefficient vicino a 0 ci dice che l'elemento è vicino a dei \"cluster boundaries\". Coeffieciente uguale a -1 significa che l'elemento è stato assegnato al cluster sbagliato.\n", "\n", "**Kmeans limitations**:\n", "\n", "it is fast, scalable but we need to run it multiple times to avoid sub optimal solution and we need to set the cluster number. Kmeans does not behave well when cluster varying size., different densities or non spherical shapes.\n", "So depending on the data,\n", "different clustering algorithms may perform better. For example, on\n", "these types of elliptical clusters, Gaussian mixture models work great.\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "S8vXVVFB6kYJ" }, "source": [ "## 2. Kmeans Algoritmo\n", "\n", "Importante:\n", "> È imporntante scalare gli input prima di applicare l'algoritmo Kmeans, altriment i clusters protrebbero risultare molto strecciati. (Rule of thumb it is to scale (Standard Scaling).\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Wi-DtD1B0gRt" }, "source": [ "![(run code in Appendix to generate image)](https://github.com/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/figures/05.11-expectation-maximization.png?raw=1)\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "6tm-ol3W0ki-" }, "source": [ "Kmeans discussione:\n", "* **hard clustering**: L'istanza o elemento SI o NO appartiene al cluster?\n", "* **soft clustering**: L'istanza o elemento ha un punteggio di appartenza ad ogni clusters. Tale punteggio può essere calcolato come la stinza che il punto l'elemento ha dal centro dei clusters.\n", "* **kmeans performance metric inertia** . Questa metrica è the mean squared distance tra ogni elemento (punto) e il centroide piç vicino. L'algoritmo Kmeans viene eseguito N volte e viene preso come modello migliore quello con inerzia minore.\n", "* **sklearn Kmeans usa K-means++ smarter initialization**. Questo forza la selezione di centroidi iniziali in modo che essi siano distanti tra di loro. Nel Kmeans originale i centroidi iniziali erano scelti in modo casuale.\n", "\n", "Limitazioni:\n", " * L'algoritmo K-Means non si comporta bene quando i dati sono raggruppati in gruppi di diametro diverso in quanto assegna un punto a un cluster basandosi soltanto sulla distanza che esso ha dal centroide. Non si comporta bene neanche quando i dati hanno densità diverse o forme non sferiche.\n", " * È un algoritmo veloce e facilmente scalabile anche se è necessario farlo andare più volte al fine di eveitare soluzioni che sembrano ma non sono ottimali.È importante sottolineare che il l'inizializzazione (posizione iniziale dei centroid) del Kmeans avviene random e pertanto esso potrebbe condurre a soluzioni buone ma non ottimali. \n", "\n", "Conclusione:\n", "> la forma dei dati, cioè come essi si distribuiscono nello spazio è fondamentale per determinare il tipo di clustering da usare." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "3rlRlkKz02HI" }, "source": [ "### Implementazione" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 268 }, "colab_type": "code", "id": "B257mcNt04kU", "outputId": "41def33c-519c-43a7-ce0a-f77403bded86" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set() # for plot styling\n", "import numpy as np\n", "from sklearn.datasets import make_blobs\n", "from sklearn.metrics import pairwise_distances_argmin, pairwise_distances\n", "\n", "# Geta data\n", "X, y_true = make_blobs(n_samples=300, centers=4, cluster_std=0.60, random_state=0)\n", "plt.scatter(X[:, 0], X[:, 1], s=50);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "HNZt2fpg2dWT" }, "source": [ "#### Implentazione da zero" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 359 }, "colab_type": "code", "id": "LtG0_8Uw1JFK", "outputId": "4cae703e-2826-4e6a-cf09-5cca65d2a96c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.27239604 5.46996004]\n", " [-1.36999388 7.76953035]\n", " [ 0.08151552 4.56742235]\n", " [-0.6149071 3.94963585]]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def find_clusters(X, n_clusters, rseed=2):\n", " # 1. Randomly choose clusters\n", " rng = np.random.RandomState(rseed)\n", " i = rng.permutation(X.shape[0])[:n_clusters]\n", " centers = X[i]\n", " print(centers)\n", " \n", " while True:\n", " # 2a. Assign labels based on closest center\n", " # https://scikit-learn.org/stable/modules/generated/sklearn.metrics.pairwise_distances.html\n", " labels = pairwise_distances_argmin(X, centers)\n", "\n", " # 2b. Find new centers from means of points\n", " new_centers = np.array([X[labels == i].mean(0) for i in range(n_clusters)])\n", " \n", " # 2c. Check for convergence\n", " if np.all(centers == new_centers):\n", " break\n", " centers = new_centers\n", " \n", " return centers, labels\n", "\n", "centers, labels = find_clusters(X, 4)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, s=50, cmap='viridis');\n", "plt.scatter(centers[:, 0], centers[:, 1], c='red', s=200, alpha=0.5)\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 358 }, "colab_type": "code", "id": "MUjKZ6dj3Ldj", "outputId": "be92cdb1-5c00-4b63-c1a0-c8102c987be2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1.07627418 4.68480619]\n", " [2.47019077 1.31451315]\n", " [1.24258802 4.50399192]\n", " [2.5270643 0.6178122 ]]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "centers, labels = find_clusters(X, 4, rseed=0)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, s=50, cmap='viridis');\n", "plt.scatter(centers[:, 0], centers[:, 1], c='red', s=200, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "tou5JpGV3VTr" }, "source": [ "Importante:\n", "> È importante sottolineare che il risultato ottimale non è garantito. Infatti vi sono diverse soluzioni che sono sub ottimali ma non ottimali come quella mostrata nella figura in alto. Pertanto è necessario ripetere la procedura di E-M (Expectation Maximization) diverse volte con diverse inizializzazioni dei centroidi. Scikit-Learn di default ha un parametro chiamato \"n_init=10\" che ha la funzionalità di definire quanto volte voglio ripetere l'algoritmo." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "UxgJQVsJ2f9b" }, "source": [ "#### Implementazione sklearn" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 286 }, "colab_type": "code", "id": "D1wMxaSy2Zr2", "outputId": "47d38f5a-4094-4260-d213-2e83652bdec4" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import KMeans\n", "kmeans = KMeans(n_clusters=4)\n", "kmeans.fit(X)\n", "labels = kmeans.predict(X)\n", "centers = kmeans.cluster_centers_\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, s=50, cmap='viridis');\n", "plt.scatter(centers[:, 0], centers[:, 1], c='red', s=200, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "nCT61bzW48nb" }, "source": [ "Problema:\n", "> Il numero di cluster deve essere scelto a priori. È necessario a priori avere una conoscenza di in quante parti si vuole dividere il dataset. L'algoritmo di Kmeans non è in grado di calcolarsi il numero di clusters usando il dataset stesso." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 286 }, "colab_type": "code", "id": "yrKokmp85Ufr", "outputId": "1f7a234b-1dd5-430d-b6a6-ca0cf1ee9173" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kmeans = KMeans(6, random_state=0)\n", "labels = kmeans.fit_predict(X)\n", "centers = kmeans.cluster_centers_\n", "plt.scatter(X[:, 0], X[:, 1], c=labels,s=50, cmap='viridis');\n", "plt.scatter(centers[:, 0], centers[:, 1], c='red', s=200, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### KMeans plot usando Plotly" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "X: %{x:.2f}
Y: %{y}
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import plotly.graph_objects as go\n", "\n", "# Apply Kmeans\n", "kmeans = KMeans(n_clusters=10)\n", "kmeans.fit(X)\n", "labels = kmeans.predict(X) #hard clustering\n", "centers = kmeans.cluster_centers_\n", "\n", "# Plot using Plotly Library\n", "xx = X[:, 0]\n", "yy = X[:, 1]\n", "\n", "fig = go.Figure()\n", "\n", "fig.add_trace(go.Scatter(\n", " x = xx,\n", " y = yy, \n", " mode=\"markers\",\n", " text = labels, \n", " hovertemplate = 'X: %{x:.2f}
' +\n", " 'Y: %{y}
' +\n", " 'Labels: %{text:.2f}
',\n", " name = \"punti\",\n", " marker=dict(\n", " size=15,\n", " color=labels.astype(np.float), #\"red\", #df_train[\"T\"], # set color to an array/list of desired values\n", " #colorscale='Viridis', # choose a colorscale\n", " opacity=0.8\n", " )\n", " )\n", ")\n", "fig.add_trace(go.Scatter(x=centers[:, 0],y=centers[:, 1], mode=\"markers\", name=\"centri\",\n", " marker=dict(\n", " size=20,\n", " color=\"black\" #labels.astype(np.float), #\"red\", \n", " )))\n", "fig.update_layout(hovermode=\"x\")\n", "fig.show()\n", "\n", "#centers = kmeans.cluster_centers_\n", "#plt.scatter(X[:, 0], X[:, 1], c=labels,cmap='viridis') #, s=50, cmap='viridis');\n", "#plt.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=1)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "twbmIDJg6Rs1" }, "source": [ "### Come scegliamo il numero giusto di clusters?" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "sSkjbrDm-b1j" }, "source": [ "### Elbow method\n", "* **Distortion**: È la media delle distanze al quadrato tra i centri dei clusters. Come metrica si utilizza la distance euclidea.\n", "* **Inertia**: Per ogni campione mi calcolo la distanza euclidea (mean square distance) che esso ha da un cluster center. Ripeto l'operazione per ogni cluster e sommo i risultati." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Distorsione implementazione" ] }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Distorsione: Cluster: 10 = [0.52226331]\n" ] } ], "source": [ "# https://scikit-learn.org/stable/modules/generated/sklearn.metrics.pairwise.paired_euclidean_distances.html\n", "from sklearn.metrics.pairwise import pairwise_distances\n", "n_clusters = centers.shape[0]\n", "distortion =0\n", "for i in range(0,n_clusters):\n", " cluster_data = np.array(X[labels==i])\n", " center = centers[i,:].reshape(1,-1)\n", " dist = sum(pairwise_distances(cluster_data,center,metric='euclidean').reshape(-1,1))/cluster_data.shape[0]\n", " distortion = distortion + dist\n", "distortion = distortion /n_clusters\n", "print(\"Distorsione: \", \"Cluster: \", n_clusters, \"=\", distortion)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Inertia implementazione" ] }, { "cell_type": "code", "execution_count": 160, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Inertia: Cluster: 10 = 112.41639656079565\n" ] } ], "source": [ "#from sklearn.metrics.pairwise import euclidean_distances\n", "n_clusters = centers.shape[0]\n", "inertia =0\n", "for i in range(0,n_clusters):\n", " cluster_data = np.array(X[labels==i])\n", " center = centers[i,:].reshape(1,-1)\n", " dist = np.linalg.norm(cluster_data - center) # Euclidean distance\n", " dist = dist**2\n", " #dist = pairwise_distances(cluster_data,center,metric='euclidean')\n", " inertia = inertia + dist\n", "inertia = inertia\n", "print(\"Inertia: \", \"Cluster: \", n_clusters, \"=\", inertia)" ] }, { "cell_type": "code", "execution_count": 161, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "RyPXj3JlBoTG", "outputId": "b7fce962-28f4-4f15-faf0-b8e0debf1317" }, "outputs": [ { "data": { "text/plain": [ "112.41639656079562" ] }, "execution_count": 161, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.inertia_" ] }, { "cell_type": "code", "execution_count": 162, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "xkca9Xt7BrRF", "outputId": "b5132682-2adc-4ec8-f69b-50d63690204e" }, "outputs": [ { "data": { "text/plain": [ "-112.41639656079565" ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Score è lo stesso dell'inertia\n", "kmeans.score(X,centers)" ] }, { "cell_type": "code", "execution_count": 163, "metadata": { "colab": {}, "colab_type": "code", "id": "mGlTuBfm-a_b" }, "outputs": [], "source": [ "distortions = [] \n", "inertias = [] \n", "mapping1 = {} \n", "mapping2 = {} \n", "k = 4 # number of clusters\n", "K = range(1,10) \n", " \n", "for k in K: \n", " #Building and fitting the model \n", " kmeanModel = KMeans(n_clusters=k).fit(X) \n", " kmeanModel.fit(X) \n", " \n", " distortions.append(sum(np.min(pairwise_distances(X, kmeanModel.cluster_centers_, 'euclidean'),axis=1)) / X.shape[0]) \n", " inertias.append(kmeanModel.inertia_) \n", " \n", " mapping1[k] = sum(np.min(pairwise_distances(X, kmeanModel.cluster_centers_, 'euclidean'),axis=1)) / X.shape[0] \n", " mapping2[k] = kmeanModel.inertia_ " ] }, { "cell_type": "code", "execution_count": 164, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 301 }, "colab_type": "code", "id": "Y1ax10Od_IIL", "outputId": "ef264768-6ac8-4d3f-fcef-92d459405ca7" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(K, distortions, 'bx-') \n", "plt.xlabel('Values of K') \n", "plt.ylabel('Distortion') \n", "plt.title('The Elbow Method using Distortion') \n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 165, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 301 }, "colab_type": "code", "id": "yp-EFV72_eHK", "outputId": "09a2f587-988b-4bac-d125-b58929c0e364" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(K, inertias, 'bx-') \n", "plt.xlabel('Values of K') \n", "plt.ylabel('Inertia') \n", "plt.title('The Elbow Method using Inertia') \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "6uhusqKg9MTc" }, "source": [ "### Silhouette analysis\n", "Dati due cluster 1 e 2 definiamo **a** come la distanza media tra tutti i punti appartenenti alla classe 1 e il suo centroide mentre **b** è la distanza tra la distanza media tra il centroide di **a** e i punti **b** del cluster\n", "\n", "$Formula = \\frac{(b-a)}{max(a,b)}$" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "CJJYfvtj9o8q" }, "source": [ "\n", "> Il Silhouette_score fornisce il valore medio per tutti i campioni.\n", "Ciò offre una prospettiva della densità e della separazione dei cluster formati\n", "\n", "The silhouette coefficient può variare tra -1 e +1: un coefficiente vicino a +1 significa che il campione\n", "è contenuto all'interno del proprio cluster e lontano dagli altri cluster, mentre\n", "un coefficiente vicino a 0 significa che il campione è vicino al bordo del cluster e\n", "infine un coefficiente vicino a -1 significa che il campione potrebbe essere stato\n", "assegnato al cluster sbagliato" ] }, { "cell_type": "code", "execution_count": 166, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "colab_type": "code", "id": "irbjjTiI9QE0", "outputId": "c69116c1-2eba-4609-db41-f719daa18abe" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Automatically created module for IPython interactive environment\n", "For n_clusters = 2 The average silhouette_score is : 0.7049787496083262\n", "For n_clusters = 3 The average silhouette_score is : 0.5882004012129721\n", "For n_clusters = 4 The average silhouette_score is : 0.6505186632729437\n", "For n_clusters = 5 The average silhouette_score is : 0.5745566973301872\n", "For n_clusters = 6 The average silhouette_score is : 0.4387644975296138\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "from sklearn.cluster import KMeans\n", "from sklearn.metrics import silhouette_samples, silhouette_score\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.cm as cm\n", "import numpy as np\n", "\n", "print(__doc__)\n", "\n", "# Generating the sample data from make_blobs\n", "# This particular setting has one distinct cluster and 3 clusters placed close\n", "# together.\n", "X, y = make_blobs(n_samples=500,\n", " n_features=2,\n", " centers=4,\n", " cluster_std=1,\n", " center_box=(-10.0, 10.0),\n", " shuffle=True,\n", " random_state=1) # For reproducibility\n", "\n", "range_n_clusters = [2, 3, 4, 5, 6]\n", "\n", "for n_clusters in range_n_clusters:\n", " # Create a subplot with 1 row and 2 columns\n", " fig, (ax1, ax2) = plt.subplots(1, 2)\n", " fig.set_size_inches(18, 7)\n", "\n", " # The 1st subplot is the silhouette plot\n", " # The silhouette coefficient can range from -1, 1 but in this example all\n", " # lie within [-0.1, 1]\n", " ax1.set_xlim([-0.1, 1])\n", " # The (n_clusters+1)*10 is for inserting blank space between silhouette\n", " # plots of individual clusters, to demarcate them clearly.\n", " ax1.set_ylim([0, len(X) + (n_clusters + 1) * 10])\n", "\n", " # Initialize the clusterer with n_clusters value and a random generator\n", " # seed of 10 for reproducibility.\n", " clusterer = KMeans(n_clusters=n_clusters, random_state=10)\n", " cluster_labels = clusterer.fit_predict(X)\n", "\n", " # The silhouette_score gives the average value for all the samples.\n", " # This gives a perspective into the density and separation of the formed\n", " # clusters\n", " silhouette_avg = silhouette_score(X, cluster_labels)\n", " print(\"For n_clusters =\", n_clusters,\n", " \"The average silhouette_score is :\", silhouette_avg)\n", "\n", " # Compute the silhouette scores for each sample\n", " sample_silhouette_values = silhouette_samples(X, cluster_labels)\n", "\n", " y_lower = 10\n", " for i in range(n_clusters):\n", " # Aggregate the silhouette scores for samples belonging to\n", " # cluster i, and sort them\n", " ith_cluster_silhouette_values = \\\n", " sample_silhouette_values[cluster_labels == i]\n", "\n", " ith_cluster_silhouette_values.sort()\n", "\n", " size_cluster_i = ith_cluster_silhouette_values.shape[0]\n", " y_upper = y_lower + size_cluster_i\n", "\n", " color = cm.nipy_spectral(float(i) / n_clusters)\n", " ax1.fill_betweenx(np.arange(y_lower, y_upper),\n", " 0, ith_cluster_silhouette_values,\n", " facecolor=color, edgecolor=color, alpha=0.7)\n", "\n", " # Label the silhouette plots with their cluster numbers at the middle\n", " ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))\n", "\n", " # Compute the new y_lower for next plot\n", " y_lower = y_upper + 10 # 10 for the 0 samples\n", "\n", " ax1.set_title(\"The silhouette plot for the various clusters.\")\n", " ax1.set_xlabel(\"The silhouette coefficient values\")\n", " ax1.set_ylabel(\"Cluster label\")\n", "\n", " # The vertical line for average silhouette score of all the values\n", " ax1.axvline(x=silhouette_avg, color=\"red\", linestyle=\"--\")\n", "\n", " ax1.set_yticks([]) # Clear the yaxis labels / ticks\n", " ax1.set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n", "\n", " # 2nd Plot showing the actual clusters formed\n", " colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)\n", " ax2.scatter(X[:, 0], X[:, 1], marker='.', s=30, lw=0, alpha=0.7,\n", " c=colors, edgecolor='k')\n", "\n", " # Labeling the clusters\n", " centers = clusterer.cluster_centers_\n", " # Draw white circles at cluster centers\n", " ax2.scatter(centers[:, 0], centers[:, 1], marker='o',\n", " c=\"white\", alpha=1, s=200, edgecolor='k')\n", "\n", " for i, c in enumerate(centers):\n", " ax2.scatter(c[0], c[1], marker='$%d$' % i, alpha=1,\n", " s=50, edgecolor='k')\n", "\n", " ax2.set_title(\"The visualization of the clustered data.\")\n", " ax2.set_xlabel(\"Feature space for the 1st feature\")\n", " ax2.set_ylabel(\"Feature space for the 2nd feature\")\n", "\n", " plt.suptitle((\"Silhouette analysis for KMeans clustering on sample data \"\n", " \"with n_clusters = %d\" % n_clusters),\n", " fontsize=14, fontweight='bold')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "qiazWI1z8RSO" }, "source": [ "### Spectral clustering vs Kmeans" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "YhtXHFh18c-L" }, "source": [ "Importante: Problema Kmeans: Esso è limitato a boundaries lineari\n", "> L'algoritmo kmeans si basa sulla vicinanza che i punti hanno rispetto al centroide trovato o scelto. Pertanto esso non generalizza bene quando i cluster hanno geometrie particolari. Inoltre i cluster sarranno divisi da boundaries lineari.\n", "\n", "\n", "Nota: \n", "> SpectralClustering uses the graph of nearest neighbors to compute a higher-dimensional representation of the data, and then assigns labels using a k-means algorithm. This will alllow to achieve higher dimensionality and generalize better. " ] }, { "cell_type": "code", "execution_count": 167, "metadata": { "colab": {}, "colab_type": "code", "id": "IKp8Ve5P8R8H" }, "outputs": [], "source": [ "from sklearn.cluster import SpectralClustering\n", "from sklearn.datasets import make_moons\n", "X, y = make_moons(200, noise=.05, random_state=0)" ] }, { "cell_type": "code", "execution_count": 168, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 304 }, "colab_type": "code", "id": "LoJdmHEk8UR-", "outputId": "9ff44164-5efd-4b4f-df74-042aee53d7a6" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/manuel/visiont3lab-github/public/tecnologie_data_science/env/lib/python3.6/site-packages/sklearn/manifold/_spectral_embedding.py:236: UserWarning:\n", "\n", "Graph is not fully connected, spectral embedding may not work as expected.\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Spectral clustering\n", "model = SpectralClustering(n_clusters=4, affinity='nearest_neighbors',\n", " assign_labels='kmeans')\n", "labels = model.fit_predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels,s=50, cmap='viridis');" ] }, { "cell_type": "code", "execution_count": 169, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 268 }, "colab_type": "code", "id": "IwCejnKQ8Ycb", "outputId": "2d857bfc-1b9f-4ade-aaec-dd1b89c98260" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Kmeans clustering\n", "labels = KMeans(4, random_state=0).fit_predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels,s=50, cmap='viridis');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "OIS_GI8axT-n" }, "source": [ "## 3. Clustering for Image Segmentation\n", "Divide image into multiple segment (color segmentation). We will collect pixel having the same color. \n", "\n", "Importnat: K-Means prefers clusters of similar size" ] }, { "cell_type": "code", "execution_count": 174, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 75, "resources": { "http://localhost:8080/nbextensions/google.colab/files.js": { "data": 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"headers": [ [ "content-type", "application/javascript" ] ], "ok": true, "status": 200, "status_text": "" } } }, "colab_type": "code", "id": "4K_lLOZttbYw", "outputId": "88deedaf-897d-46bb-f45e-effaafadcfc7", "scrolled": false }, "outputs": [], "source": [ "from google.colab import files\n", "from io import BytesIO\n", "from PIL import Image\n", "uploaded = files.upload()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "iJPGJNd7urS2", "outputId": "d80ad0b8-707f-4d23-d415-48f36c10e5f9" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['selfie.jpg']\n" ] } ], "source": [ "name = list(uploaded.keys())\n", "print(name)\n", "im = np.array(Image.open(BytesIO(uploaded[name[0]])))" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 547 }, "colab_type": "code", "id": "e9KlbY6rBmwP", "outputId": "468cfd5a-821f-47e9-b5e5-662d49118373" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1067, 1600, 3)\n", "(1707200, 3)\n" ] }, { "data": { "image/png": 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OoeBV3tLaBijOa7WqT6viVPk+C2tQlUNMKijNHboKfxQWDMgTtIATAbXbWXeA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\nVwopDZrkbGz0EVJxeDorvkmt/dq2TTQ547kvvMzJOMD22jSEwFCKX33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XsLAMC4TWgslT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JY/m50GGQbQM1ZYdruJbY8sU0MLWbCb4gYfZRakFiiQzbiPGS5i4tyS35Ntkt8iJTp2vOz5TM2g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JzevThFqVijZ8ra85QZo8iyjDilw2g0GiGfLyKOY/hxBMfxUC6XMZ/PmdTZhCTT+6ZItBYS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5EEDAjXholphmDqOKlCz20+k05EGF6upqhocHcTgchMLnvQFyOW2vMT8/TyIeY2xsjM2b\nN9PZ2al2qhdddBGVXhcnj7xPU1s777zzDsuWLdP2WqEABw4cYOXKTg2wCARYubKT3t5e1QGtW7eG\nsdFpXnjhBdxuFy2tTSxbtowVK1awd+9ebFatY1u2bBl9ZwYYH5shpweHQ/uQY7EYF198MS+//LIy\nuOju7qa/v59bbrlF7TXdbjcul4YgV1VVKU7e7OwsjY2NzM/PU1lZSS6ryT737dvHsqZmAqEgCwsL\nbNy4kaeffhpPYYGidMit7vF4FC9VcpnESUk+P2VvmEqpF7KwsFC9CEKIFhBDOl4pAoK8CyVIQEiz\n2YwOuzIxmZycRMxy3G439fX16PV6uk+dZGZ6VqnCcjqNFmW32/F4PPT19ZHLW/TJ85VOpzk3M0lk\nsB9dTouXNhqNGExGRXOyWCyYTCauueYa3nzzTcVHLCoqIhKMKiqOgF0et1sptqxWq1Ifbd68maGh\nIaXck1gUoZ8lEglmZ2dVoc1kMsqoWGSZdrtdjfQi3xWVWDgcZnJyUkmTjUYj+/fvV5fBwMCARkNr\naiIY1EIJRQHW19enOsiSEs1fVxyvxHs1Go2qIixNhdFo5Kc//akSkkhhkoK2f/9++vr6FG0om81y\n5ZVX8uqrr6r3X7jmom47cuQIGzZsUMXtoYceUs/XeXc3m7qUpEgK40K6/MW5bov/nky9wuRYTMfc\nt28fp06d4p577lEFW9ZdJSUligkh3bto/uXn/e/Tr/xzk8mk1GDC1W5sbCQUCnHunCb9jUQimsRY\nb0WfS9DS0vI/1szfKz3NZjLEolFKS0oUoilyRL1Ohw7w5Q0PZGRR5tF6M3nCKNlMBqvFkhcEZNDp\njOSAsH+eWCxCZ+cFmJ1OPEWlgCztUyQSCyQTC+rWXLN6FVWV5RQWFuK0Wjhx9F1GJ6fwlpbhLXDy\nyT/fjtNuxTc7jb2gmF/u/hU+3zR/+ZdfIJ5Mc/zkSTpWreKiiy7EbDay81cv8Pb777NubSeXX3Ep\n0zPnePPNN9i79xWKi72sXXcBg8PnmPb5aW5ZxvZPXEd9XRWBQIiOjlUkE2m6Tp5ibGKKntOncXk8\nFBYVsXnLR/DPB8lkNKNit8NJJpMhEAjw7tvvYDYYaWhooK2tjdOnT6uoCKNJRyabZGpuTgXqRaNR\nogsxmltb1KQgFCNZ3kejUYLBIKA5/wgoJZeXxWSGbE51A1VVVSrTXnwFBPRbnPBZWKDtJh0Oh6LG\nBYNB5Qq/cvkK9JkckfkgVpuJgkJtjdDc3ExjYyPDw8MMDAxgMluVUiocjSjvTBEjGAxayOHk5KSa\naqampjCip9DlUS+wvHhi5iyZRc8//7xaXVRXVzM+Pq7ADQHsxBxZnONFzuotKOTEseNEwxE1IiYS\nCTWeL/59CxtAgLRIJKIKdiaT48/+7AY8nkLFNBDa02JanTArVq9eTXl5OSUlJeeZKnmhjBDhpTPK\n5XK0tLTwp3/6pxh0esbOaWIDAXgqKirU6kTiP6xWK3fddRdf/OIXueOOOxTqL13ijh07uO2227jj\njjs4deoUN910E9///vdVYQuHw2zdupVNmzap4iqxJwaDgUAgwE9+8hNCoRCZTIZdu3Zx0UUXkU6n\n2bFjB5dccgk6nRbp/dBDD3HzzTezYcMG5eEaCoW49957tTVNfo+/c+dObrzxRkKhEDt37uTuu+9W\nRa+9vZ3y8nKOHz+ueM979uzhkUceATRRhKwHv/3tb7N+/XquvfZaJXF2OBw8/vjjXHHFFVx77bXK\n4Prxxx/n0ksv5Y477uBTt/8FOp2Oh7/1KHfefS+VVeXUN9RhsVjo7Oxk5fJGGhubcLncf1hBtdnt\nGE0m0pkMiXgMgx5SqQQ2m+QnZSkoLFQ8tXQqRSIe1wj9gN5gQm84b60VX4gSXwhBTqONFHq9zPum\nGRw8i9VqxmpzqttDxg65ISsqKogtJHC4bOgyCTpXttLS2EJ7cwP1NZVEYmn+8q/+hp27XuLhbz3B\nwUNHicWMzAX9vPHOb9myZQtOp5PXXnuNI8dOMDE1w0e3bSOzEGZ8UttztrSuoef0AJFYnKaWNn74\n1FNYLCZqaqoIh6N88MF/UVdXT4HbybnhQQxmA+fGz9Hc3MjK5S1s2bwRj9OjQAG3201lZSWTM9Na\ncmg2S0c22lYwAAAZa0lEQVRHh7IYc5itGE125YkZDET48bP/QUFBAWazmeB8gFAgyJ49exShf3Fu\nkhQi6QKkAAhPM5fLaZZk4RB6o2YcbDKZmJ2dVbe7vDzNzc3kMlmqK6uwO6wEgnMaaooOi0lbYYyP\nj6uYiUgkQk9PD/FEFKvNRCgYJZRIMjXto+fUafrOnAW97jzaTg690cCtt95KXV2d2peJRNPp8VJT\nUc6ZwbNEk3GWLVuGzz9LKBLWIsijESKxqFL/SMppIpFQL43X66X3zGnS2Yza+ZtMJub9c8QiUYZG\nhhXaff311yuOJ3odk9NTapR0OBzK3k9zS9NAPvFlEAZDIpFQnV8ymeStt94kkVhQ78Pc3BxOp5PH\ndvyr+jpOp1Pzf9XrAT1Op5Oamhrq6+uVwYm4hIn/QnNzM+l0WvMvLS1RDI/i4mJl5iKXjiSVyirl\nH//xH9X4vJjadeGFF3L77bfzxBNPEAwG+ad/+icOHDigusxPf/rTvPjii7z88svccMMNCmBraGgg\nm83m94mzqpm6/vrraWhoQKfTce+99yqea1lZGb29vfzsZz9j27Ztaq9811138fjjj/PDH/6QW265\nBbPZzPbt2xVecsstt+B2uxWTyOFwUFJSwsaNG4nH43z9619n+/btPPTQQ1RXVyuWxdjYGBaLhQMH\nDrBv3z6uvPJKxTTp6upiz549PPjgg1x11VXkcjm++MUvYjTq+clPnuK6j19POp1FpzOwYuVKnn76\nP3j44Ud45tnneOrHT/PId3bw6I7HmZic/sMKqlhWTeWJ3kKDEr5jKpUiMD+v6AzW/EgP55VM8vAt\nPmLsGo/HlfWctOQS1yHHaDTS3NxMU1MTFcUFFDg0b8WCggI2btzIw999jK/8w0N845EdDIz7ONyl\nRew+99xzJJNJvvWtJxkemuTAgQNMT0+zdu1agsEgAwMDTE1NceONN2KxWNi/fz8Xb1nP93+wA5/P\nxy9/+Us2btxIaWmp2rVFIhFeeuklJiYmNHPn2lquueYaTCYTw0OT/MuTPyYYDJJKpTh69Chvv/22\ncvCRBzUUCqmwurGxMc05KM/xO3z4MMuXL1fG3AaDgVWrVimlk4w60pnodDpmZmZUNIaAgSJ5FN2z\ndCfifC4+mAJAbN68WYF9gUBAjbDi2AUotN9u11RkZrMZj8dDY2OjCu8z5RkeFRUVhMNhhcALcOHz\n+fjxj3/M8PCwotPI9yojq2QQjY6O0traquKM3W638jxwu91ccMEFaq8pBUg8WsXCThySpMOz2Ww0\nNjai1+vZv3+/MuUwGo2qiEpCqVwaZWVlyktUXlpJ/1y8MxT6mWAOYtp99uxZ7rrrLmw2G1arFZfL\nhd1ux+/XtOTiqXD8+HGmp6fVeyVUPpvNpuwWF0+I4qPb2NiIz+fj7Nmz6n2T4vrggw/y1ltv8fjj\njyuKlnyv/f39VFVVYTKZ+Pa3v01ZWZla2czMzNDU1MSJEycwGo08++yz6PV6FdAoohEBIXU6nTKO\nXmzzmU6n8fv9rFq1ittuu00ZbwuVSb7O2rVr1VgubmCL1XyAcq2SaUGMTwClcjKbzfzoRz+isrJS\ncYNlqvnZz35GR0cHdrudDRs2KN8FvV5PfX09JpOJq6++Wu2MZRISy8jp6WmFTUxP/4EFNZvJ5INE\nznsGyi8wlUqowpdMJJSbtsFoxGyxkM3lyKTTLMRi6PRaiF4uJ1lPBvQ6HfGFBTLpNNPjE7hsdtxu\nJ25vFZmMTpkSX3nllfy/Gz/J+vUd2Owmrr32Y3Sd6mH/oeNc9+d/gU5vJRiKMzExgUmXRZ/VConL\n7cZitWIwWfngwJuUFxeycvly4rEY1ZWVPPHYY6DX858v7uGyrR/hsq2X8bP/2Mk/f+9x6mqquPrK\nKygt1uJqNSmojSx6dAYTOZ0On9/PQH8/XSdOMHj2LJ4CJ26Pg5b2Nvx+P7FYjBUrVjI766esrIwj\nR44wMzPD5PQso+NT9Pf3Mx8JUeCx45uZo8hbSvfpM7zzzjsMDQ3hm54hkUryzrsHsNlsyqBXeKVS\nhEpKStTLL8YcgAJpAoGA2g0t3qeJfE/s7YTXqEXABAkGwpRXVtDT00Npaanq9kTVU1paSlt7C129\nZxif9qE3WwjMBqitrmF2zk8wHMLlcOJxuVXxFqWTGDWLCXMoFMJuMfKxP7ueZCpDQ0096WyGmalp\nykvLNGu98XFWr16tgLdTp07R2tpKY2OjIpm3tbXhcbkp9hapuIsNGzYwNz+Lf07LmRofHaOqopJY\nIEBzXR1dXV34fD61zhDJ4fLly4lGowwMDKhuXy46MeJYLJgQ56Ly8nKlhhMj9uISj0L6169fz9VX\nX00sFlNy5KKiIlUo29ra1EXUsWIluUyWkpISvF7vhySXJpOJtrY25ufnmZqaoqCgQBlDy0QYiUS4\n4YYbcLlczM7OqmKaTqf5t3/7N6WX37VrFyaTiVdffVVp5nt6erjiiitwuVycOXMG0Di6J06cUIVP\n0H4ptqFQCKfTyXPPPafUWWazmb/927/lBz/4gVozmc1mhoeHVdO1a9cuAGX4E41GFdYhz/nk5CSz\ns7NMTEwoAOnee+9VfqlyQf/93/89zz77LNlslsLCQsXTvv/++9m9ezc6nY6RkRHuu+8+9blOTU2p\nSBm326mppHQ64vEkyWQag8GExWJT001ra+v/WDN/L8pvMJhyRqNR5cIAH7K0y+bJsG63W7ndxOMx\n1ZGm01l0ixb04VBIIYdw/rbMZDW0b/Xq1cqtfnjoLB+99krKSkpw6FNY3EWMTvh44403yGa1PU9T\nUxN9fX04HA7Onj2r5IpCZVm5ciWD+UjaD36ziz2v/1Z78CqqOHjwIHfdeScLGR3PP/88sWCUTDaW\nB3c0Sks0qhlYVFdX85Etm+nu7lbjusFgYGhklI6ODn7zm1/jcDjo6OhgIRolGI6qnV8qlaK0tJT5\nWa3DW8hnagWDQTUBrF27ll+99Boet5ZTZLFYlGGz3MqiChN9uIxOsuSXPbMs5KUIp1IplQ+1uMsS\nBBqgqqqKWD762eFwkM1pO8KqyhpsDrv6HUunpMtpv1urzUxvzxmNPhRfUOhsPB5nxYoV/NcHh5Ul\nXyyu8SyTyaTqHKTjXVhY4J577uGpp56itbWVI0eOUFFWDkBzczMHD55gdWcdN954I9/8zqNcfvnl\nvPjii6RSKVpbW+nq6uKOO+7g4Lvvsf3PP0F3dzc7d+5k9erVGpXMra1UhCYke9q5uTkKCwtJZzXE\nX7NpcytakWQmiRhgaGhI0c/kfQB93tovrrphKXpisSfmNAIOCtA3Njb2oVwukY7OzMywevVq9flI\noQJUZyigyvS0Zmzu8Xjwer088cQTqqv60pe+RCAQoKysjEceeUQp0OR7SKfTvPvuu7z00kvcf//9\n6t0pKioiEonw+c9/nuuvv57t27cTi8V44403qK+v1+KD0EQVfX19XHXVVWoCevTRR/n6179OX18f\nlZWVWK1WduzYQXl5Obfddhs2m03Jf5988kmuvfZaVq5cqaYns9nMAw88wIMPPkhfXx9Wq5VNmzaR\nSqX43Oc+x5NPPqmUb88995zq+N1uN+3t7Qos/8xnPsN9991Hc3Oz+nmz2Sz33nsvjz32mFJ1vvba\na9Q3NDExMcGWiy/EmPdnMBgMJPMgbiqVydO1NDzommuuYW4++IdHoIi2enERlJHHYrEoCsziDyqd\nTuP2eM53sckk1vytJlxAQaLlZT969ChGo5Hx8XEKCwspLy/n6NET7H3jAD9++hfsffU3JOI5tVgf\nHBxUDufyPSUSGgq3fv16vF4vDQ0NmEwmHv3B0+zatYstW7awf/9+tm/fjt1u5ctf/jJjY2PEE2HV\nBTgcDkwmEys7Wlm3bh3pdJrdu3czNTWlQIb5eS36V17cDRs2cObMGc6dO8fU1JTqkKxWKyMjI6pI\nSuxGXV0ddXV1bNu2jXg8TldXl9ptNjY2UlVV9aHOUni9Xu95uaKYr8gIKmisjP/hcFhdLjKqSgEW\nUGtubo6JiQm1epHPZsWKFUxMTNDd3a26BrkIhS5kNGrgmuSzi7ImFArx1ltv0dnZqYXt5YGteDxO\neXn5h8ZPi8XCww8/zI9+9CNqamp47733lKJJXOYbGho4fXaQ7zz6GAAnTpygpKSEkpISLW+ptpZd\nu3bR0dHBzp07CQQC3HTTTYsueY094vV6tUysY8e4+OKLcblcav8oNBxhO0jxGhkZYWJigq6uLvX9\niixS9vzyRzx929vbaWpqoqysTI3CAmr19/er9YB0nLI+CYVCmplM/jKWiUQiwGWlIJ+3NDiCOUj8\niwDD3/3ud7nzzjv57ne/q8CtXC7Hzp07SaVS7Nmzh9LSUr75zW/y4osvEg5rKjPp5P793/9dMRv8\nfj+RSISWlhYGBwc5ePAgy5cvp62tDZtN4ygfPHiQb3zjG8RiMUZGRhTY1NbWxs0330xPTw+vvPIK\nOp2Ow4cPs2XLFmpra3n++ecZGxujoKCA3bt388gjj5DL5RgaGqKlpYVUKsUvfvELHn30UcLhsOq2\nc7kcnZ2dbNy4kd7eXkBbEe7evZtnnnmGqqoq9uzZg8lkYmxsjFdeeYV//dd/pb+/n1deeUVNdu1N\ndWy5cC0///nPVbPz1FNPqcu/q6uLeDzOe++9xwcffPA7+fKqZv4+t6l/+Id/fHBxwqDJZEKfB4oW\nGwlks1lFm0KnR28wksuez4AShU46lSIH+ZEPLFYbeoOOeDyB3mzGaDYRz/txJpNxhobOMTcXIJHO\n5bPQzYTC2l5l3YUf4dzYJJPj5/D7/Wo3U1NTw9mzfXR2rqCpsZ3jx7sJBucYGh5nZmaO6vJCGpsa\neOu3v+GD/zpGdWU57a3NjI6O4XLYKfB4WLtmFQ67lcBckKnJCTpWrsBksYBOx/TUFGMTE7jcbrZs\n3sCcf4ae3n6GhoZZtqyeuXlNEy1ItAAF4WgET0EBo6OjLF++XOMvxuOEYxH2vrEfv39W+W1OTk5+\naAcqRU74l+Xl5erllVF0saJMfhd6vV5FUcguVIAJ6aQqysqxWiyksxls+f3b2Ng4OvSMTYyrrisS\niWDQ6SkpLsFmt7BqVSd1ldWMjozS238Gh8OhgLjR0VEcDgd2h50Z3wx6g57ailIcriIGBvtZ07mC\nW277DJlMmltvvZWvfOUrfO3Bb3Lw0LvodTksFjN6vYFzY6Ok0mkmJkeIxqIUFVXidNoZGBhg69at\nHHrvIHabjWgsyqZNmzj0/iH0ugxDg2cJBKOEQmFmZqZJpVNYrBYy6Qxz8xE6V3XyweH3qais4FRP\nj6LcyE4/nU6zYcOFDA+PUFJS/CGaj1AD5Y/BoCeXy6rJQd4X+ey0FZeeSCSsFITRcITysnKmZ6aV\nTLOyooxoJIxOb2D79TcwPDSEzWrDoNejN+gVD1W8iMUYpbi4WHVUALfddtuH8I6GhgbVBInZR1FR\nESUlJZSXlysqW1VVlQK5rFYrjY2NxONxRXpvaWlRk5lkeskUJK5buVyOqqoqFV8tDYAAZWazmfb2\ndhKJhDK9Bk05JqbibrdbrXXkmRIvB8FXioqKmJ+fp7S0lOJi7fMR5gmgfGUlWVXI/xUVFcowRmws\nrVYrpWXFZHJZXE63Mr+22hx4CwvyCjUTuVwWl8tDc1Mjx44d4zOfveP/7jZly7tN5XI5svkbQZd/\nYRdHoYDma7m4k8rlcpjyL7pwwjTHKSEWa/nWJcUVTM9NKT/CeCRKa2sr3V3H1dLY6dKiHjS/VK2p\nFrMMo9HI/Pw8xcXFKj+mrq6GggI3R4+cYmJyGv/cFN7CQgLBCPpsjFtu/CQej4c/+dg2vv/97+c9\nGtNYTAY1vmlWcZNUVVXhcrnoO3uWrVu38uvXX6euvp7+/n6cNhebN2+mu/cUiURCUXICgYByBxof\nH1djv8h0ZZ+4EEvS3XeamRlN1iYmF9XV1VitVhVnIt2TXGrSEckNuth5SySc8jKIf60EjIlOWfaY\ndqv2Uvjn5yj2FinpZFFREcdPnmDNmjX09PRoYgifj49d+zG6uk/gcDgwZMFmczAyOU59fT06nY7e\n3l5l3iwvhNFoxGqAwXMzRKIBUvE4GfRceukl+P1+amtrOfzBcZqa6xgZHiQSidDZcQF19cvQ6/Uc\nPHiQsrISTp44jcGYU0BeoacAm83GpZdfxsmTJxkZGaHYW8Ydd9zB87t2MjY2BmgshgsvvJDf/uZN\n7v3yV3nyXx7DZrMoX4UvfOELfO973wPOc0jT6WxeOZRUqxLhUgNs2rSJAwcOfAjckJ2hFJ7p6Wk8\nnsK8uMCq8pL0aE1JZXUVDoeDAwcOYLVonG5vUQl3f/4unnjiCc2vIJkkkUoqvqYUjOHhYaVG2rx5\nMyMjIxiNRp544gkVISKXqrzjRqORyclJvvCFL+BwOFQ4pESqj4+PqxgZmaImJydVdE82m2ViYkLR\nlnw+H7W1tSSTSQU41dfXa6m0er1SacmO+9ChQ1RVVSn7v8LCQmVMIiotAX3k+a6qqlLPsMSySApD\nIpFQZuKaZ69esVfEvEa+jgiTBECX98lgMGDQZ+js7CQeCNAzOEIgEMLucGA2ae+e2+MhEAhgNJpJ\npzQjm7HxyT8gU0pvzMnDpBXY8+7WC3kkz2AwQL5rlW9UyOJKBZEnocsNX1JSQiIvVbXnc3HCoZBW\nrNFAL2fex9NisaPTaUqUmjwiW1ZWRk9Pj0K/NTTaw7XXXkswGOTdd99lZccajhw5gtFoZGhoCB0Z\nslmtq/77r3yRT3/q8/zyV79iYKCP5uZmvAVuBofPsWbNGk6fPp1XR1XR2trOkSNHSKe1S2Hdug34\n/T4CgQCTk9O48sXeZDLh8XiwWq3K6GNqakp1g4UFmnY7kYrz8Y9ezbmJaXr7B+jr66Ovf4D6+nqV\naindw4kTJ9QuTwj5MtKJsz6cnx5kDJIJQrn65y89UUPp9Xr8fr9mIrIQ1yhpsRhWo3b7T8zOMjs7\nq/5fop3OZSRCN8R1111HIBDgzTffpKmpidk5LUtqbGxMpYWKnhygtFgLtRsYGmbNmguwWq0cP348\nT/2y0Nt7iro6LSo6Go0yMzXNhRdt5sCBA5R6CynKx5HMBTQf0vXr16uQvN27dzM5OYm3wENjU7tm\nWNxQzczMDA6bXQt5s+TQ4cRs0bNixQpOnTqlXirZUcrFlUwmcbu8oEtiMHw4v12c/IXvKeCpcFP1\ner3yFrBarczNBUgmk5SXl37IT0GUWtl0hra2NgaGBkmn07S0tCg6llyIMtYLxc1gMHD27Fn1dxwO\nh1KDiWrMarXyne98R9HH7rnnHvU9y/5c4lykAw8EAmzZsoW9e/eqwDsROoh5S1FREQ0NDQwMDCgC\nvggo2tvblXm67M7FMEjk0yaTScXoiHXl1NQUIyMjrFmzBp1Op2hluVyOkpISpqamlIxdiPsiZJHP\nRRot4Q9LIyifkeyvJdLHaDSSiMfR6WDLpnUMDQ2xdt1qDn5wFI/HQzAYIpsVx7McxcXF6HQ6xicm\n8p7Bsd9ZUH+/Y//Xv/agXq/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6LolzVZQfa0H5UB65y3o5Ik4yjZzncqxMBJf3r6w4mAh8mWjJUs0aDil+PxKX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\nvLHOnxuk8qdIyZL8+H0LNYnKI+koSm2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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.utils import shuffle\n", "from sklearn.datasets import load_sample_image\n", "from sklearn.cluster import KMeans\n", "\n", "def reconstruct_image(cluster_centers, labels, w, h):\n", " d = cluster_centers.shape[1]\n", " image = np.zeros((w, h, d))\n", " label_index = 0\n", " for i in range(w):\n", " for j in range(h):\n", " image[i][j] = cluster_centers[labels[label_index]]\n", " label_index += 1\n", " return image\n", "\n", "#im = load_sample_image('flower.jpg') # china.jpg\n", "flower = np.array(im, dtype=np.float64) / 255\n", "plt.imshow(im)\n", "#plt.show()\n", "\n", "print(im.shape) # (427,640,3)\n", "w, h, d = original_shape = tuple(im.shape)\n", "#print(w,h,d) # 427, 640, 3\n", "#assert d == 3\n", "image_array = np.reshape(flower, (w * h, d))\n", "print(image_array.shape) # (273280,3)\n", "\n", "# Setting Kmeans\n", "image_sample = shuffle(image_array, random_state=42)[:1000]\n", "n_colors = 5\n", "kmeans = KMeans(n_clusters=n_colors, random_state=42).fit(image_sample)\n", "#Get color indices for full image\n", "labels = kmeans.predict(image_array)\n", "\n", "# Plots\n", "plt.figure(1)\n", "plt.clf()\n", "plt.axis('off')\n", "plt.title('Original image with 96 615 colors')\n", "plt.imshow(im)\n", "\n", "plt.figure(2)\n", "plt.clf()\n", "plt.axis('off')\n", "plt.title('Reconstructed image with 64 colors')\n", "plt.imshow(reconstruct_image(kmeans.cluster_centers_, labels, w, h))\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ze-UpWVF2Zxv" }, "source": [ "## 4. DBSCAN Algoritmo\n", "local density estimation. It allows to identify clusters of arbitraty shapes. This algorithm defines clusters as continuous regions of high density.\n", "This algorithm works well if all the clusters are dense enough, and they\n", "are well separated by low-density regions.\n", "\n", "* For each instance, the algorithm counts how many instances are located within a small distance ε (epsilon) from it. This region is called the instance’s ε-neighborhood. \n", "\n", "* If an instance has at least min_samples instances in its ε-neighborhood (including itself), then it is considered a coreinstance. In other words, core instances are those that are located in dense region.\n", "\n", "* All instances in the neighborhood of a core instance belong to the same cluster. This may include other core instances,\n", "therefore a long sequence of neighboring core instances forms\n", "a single cluster.\n", "\n", "* Any instance that is not a core instance and does not have one\n", "in its neighborhood is considered an anomaly.\n", "\n", "In short, DBSCAN is a very simple yet powerful algorithm, capable ofidentifying any number of clusters, of any shape, it is robust to outliers,and it has just two hyperparameters (eps and min_samples).However, if the density varies significantly across the clusters, it can beimpossible for it to capture all the clusters properly. Moreover, itscomputational complexity is roughly O(m log m), making it prettyclose to linear with regards to the number of instances. \n" ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 53 }, "colab_type": "code", "id": "-8h7yBtY3Wnt", "outputId": "8426f97e-c696-4de0-c232-914e152a987d" }, "outputs": [ { "data": { "text/plain": [ "DBSCAN(eps=0.1)" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.cluster import DBSCAN\n", "from sklearn.datasets import make_moons\n", "X, y = make_moons(n_samples=1000, noise=0.05)\n", "dbscan = DBSCAN(eps=0.1, min_samples=5)\n", "dbscan.fit(X)\n" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 268 }, "colab_type": "code", "id": "l6ql0uBw3aEt", "outputId": "0d5d62be-1041-47d5-b298-693b36259212" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], c=dbscan.labels_,\n", " s=50, cmap='viridis');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "wwfbrlwy5nE6" }, "source": [ "## 5. Other clustering algorithms\n", "\n", "* Agglomerative clustering: . It can scale nicely to large numbers of\n", "instances if you provide a connectivity matrix. This is a sparse\n", "m by m matrix that indicates which pairs of instances are\n", "neighbors (e.g., returned by\n", "sklearn.neighbors.kneighbors_graph()).\n", "\n", "* Mean shift: can find cluster of any shape. it has just one hyperparameter (radius of the circle bandwidth). it relys on local density estimation. It can recognize shape but we need same density. Not suited for large dataset. Same type of DBSCAN.\n", "\n", "* Affinity propagation: voting system\n", "\n", "* Spectral\n", "clustering can capture complex cluster structures, and it can\n", "also be used to cut graphs (e.g., to identify clusters of friends\n", "on a social network), however it does not scale well to large\n", "number of instances, and it does not behave well when the\n", "clusters have very different sizes." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "hLU-kICyGOib" }, "source": [ "## Example: Electrocardiogram Analysis" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 283 }, "colab_type": "code", "id": "u--vks1UZ1dt", "outputId": "069600e6-aa3f-480f-b950-43aec1f114ae" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 94, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import find_peaks\n", "from scipy.misc import electrocardiogram\n", "# https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.find_peaks.html\n", "\n", "ecg = electrocardiogram()[10000:18000]\n", "#ecg = electrocardiogram()[17000:18000]\n", "\n", "fs = 360\n", "time = np.arange(ecg.size) / fs\n", "plt.plot(time, ecg)\n" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 283 }, "colab_type": "code", "id": "8CDnG7yPhGe1", "outputId": "581af7b7-af9a-4888-8f57-f2f902d21d6c" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "peaks, properties = find_peaks(ecg, width=20)\n", "peaks\n", "plt.plot(ecg)\n", "plt.plot(peaks, ecg[peaks], \"x\")" ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "colab_type": "code", "id": "YJ2zm2AchTK_", "outputId": "b69e4a2b-efb7-46e9-d662-07c0a4d882cd" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(8000,)\n", "(8000,)\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import LinearRegression\n", "from sklearn.preprocessing import PolynomialFeatures\n", "print(time.shape)\n", "print(ecg.shape)\n", "X_lr = time.reshape(-1, 1) \n", "y_lr = ecg.reshape(-1,1)\n", "poly = PolynomialFeatures(2)\n", "X_lr = poly.fit_transform(X_lr)\n", "reg = LinearRegression().fit(X_lr, y_lr)\n", "reg.score(X_lr, y_lr)\n", "y_hat = reg.predict(X_lr)\n", "plt.plot(time,ecg)\n", "plt.plot(time,y_hat)" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "colab_type": "code", "id": "Dr-aGziNmRax", "outputId": "b7f62112-eed3-402a-c883-f9b3919f7926" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3237] []\n", "[3237]\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# find peaks\n", "peaks_p, properties_p = find_peaks(y_hat.reshape(-1))\n", "peaks_n, properties_n = find_peaks(-y_hat.reshape(-1))\n", "print(peaks_p,peaks_n)\n", "peaks = np.array(np.concatenate((peaks_p, peaks_n)))\n", "print(peaks)\n", "plt.plot(time.reshape(-1),y_hat.reshape(-1))\n", "plt.plot(time.reshape(-1)[peaks], y_hat.reshape(-1)[peaks], \"x\")" ] }, { "cell_type": "code", "execution_count": 98, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 301 }, "colab_type": "code", "id": "VBJSAfpfwnm_", "outputId": "8bae85d1-ef83-459f-9d7c-6aa003b4e729" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0 1999 3999 5999 7999]\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 98, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# split line into n segments\n", "peaks = np.linspace(0,len(y_hat.reshape(-1))-1,5, dtype=int) \n", "print(peaks)\n", "plt.plot(time.reshape(-1),y_hat.reshape(-1))\n", "plt.plot(time.reshape(-1)[peaks], y_hat.reshape(-1)[peaks], \"x\")" ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 447 }, "colab_type": "code", "id": "QWqRk30ea7xO", "outputId": "79b9979c-316a-4ba8-bdc7-692a075ea82c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0 1999 3999 5999 7999]\n", "[[ 0. -0.31766497]\n", " [ 5.55277778 0.02362275]\n", " [11.10833333 0.05991783]\n", " [16.66388889 -0.20902677]\n", " [22.21944444 -0.78321103]]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/manuel/visiont3lab-github/public/tecnologie_data_science/env/lib/python3.6/site-packages/ipykernel_launcher.py:8: RuntimeWarning: Explicit initial center position passed: performing only one init in k-means instead of n_init=10\n", " \n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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+ZkRROO4kuM4+84yMDO644w5effXVWhvyhiLrYDYHtx86baJZDu08jNvhy/I8ut8ncKQoCt899yMPj36Sb5+dhSL7xrwrOQOP7PWZO10eNm1Pa9iBG5wQi6j3VfePa1Wv599v34dHdWvbmS69OFa54ssvEBApl8s5HlasAfvsHiNHoSlTZ2P+ySef4HQ6efHFF5kyZQpTpkzh22+/rc+xnRTzP1rEQyMf56kLXuTlK944LQz6uGtHYbaaMVlNmMwS/c7pq7Ut/epv5n+0iLRdh/nz48Us/nKZ1ta9UzwmyftRWS0m+vWq+eP7ofR8Xnh3Pv/3yWLyCsrq780Y6PHzellECXs9x213Cuqs012Jt+hvFpNanIdJMGERLCRak0i0Jh33fINChwTsW1H4d/0M1qBRqLObZfr06UyfPv3EBzYSP77yC66KWfDeNftI33uUxO5tGndQgoCqqgiCN67cGuybHaXvO6pF3LjsLtL3+SKDenRqxSO3T2Td1gN06xjP2QP18qaqqlJmdxIcZNH50p0uD4+99ivl5S4EUSD1cC4z/nfZKX6T/0z6xsSzNsurdhlpDaJNWP2u0QiCiFqhUx5vaU2wqF8AHRg2iM62zpTL5cRbWp0wlX9E5CiWly7T7VtR8jfjY86p13EbNBynd4jHSRASEUx5kfdRU1FUgiPqd/W/Lsx9bz4el3fGJogim/7cwpirRwJw1iXDWPr13wgVBv/sS/SJHX17tKFvj8CbUXGpg2lP/8DRrKKAYs9FxXZcbhkVUBWVjKyiipuJoXlen6iqyoZs3803x15Gvr2cmOD6KYgiqzJbyjZphSQOOw9RqpQS5hcv7lE9bC/bRplcRrAUHCDCVZUW5sD2Mownt6ZMs03nv+ezO4lvH0dYdBjXv3gV0a2jGntIxHeM1/RXVFUhNskXfhjfoSVdB3fGYrMy9ppRdPSTuVUUlTmLtvLyhwtYu+Wg7py/L9nG0cxCZFkhK6+YOYu2aW1hoVZkP997WIjVMOSnCMUvvlwF9hfVX5lCEZFg0XdjMAkmbKK+2MpX2V/wR8HvLC5axOvpr+FUmm7NW4O60WyNebteSfzfmhf5YNebjLri7MYeDgA9hnfVkkoUWSUsyrcy/dWT37Nr5V6Kc4tZPHMZ2/7yJXH8smAL38zZwOpNB3j908Xs8ls4lT0KckVUkKLAYb9ap7n5ZboaoWWneeJUU0UQBOL8ZuFmUSTUXH8V7wVB4Nb420mytCXBksDN8bdhEvQP1ZULpCoKHtVNTkVkS22RFbk+hmzQCDRbY346sv6PTVqUiqoobPGbRWelZmkuGFVVyT2cp7Xt2J+Bs6JNlhX2H/LpsSQlROnKxqVn+dKyY6NDtdqhJpNIl/a+UDWD+uXpoWMIkkyICExo24le0fV7rVtbE5iWcA/3JDxAu6D2Ae1tg9prC6SiIBJtjgk4JqCPFKjf8nvOryc/WINGwTDmDUinAR2xBHtnbGaLmba9fT+m8+6YiMVmwRYWhDXYSn+/SJfh/TtgtZi8C6eSSJ9uvkIUrVtGamXjRFGgZbTPjxpkNfPiQ1MZ1q8Do4d04TG/JKUTsXP/UR568WeefusPsnKL6/ye/yn8fmAfoGKRRMrcrgZ3Z10bdz2Dw4ZwRnAf7mx1d4Abpjomx0wJ2Le83Ihoaao02wXQ05FJt05AdsvsXr2XoVMGcaafZvmZ4/vwwuL/cTQ5k66DOhHawueCGTusG5FhwaQezqV/ryTaVQhwAXRuF8fN/z6Lb35ZT8vYcO68dpTuNWfP38KG7WmoqkposJVrLgoMSatKWbmTZ96eh9PlQRDg2RnzeNuIgjkmblnmjwP7NL/5iqNpFDkdRFgbTjd8VfEK1pWuQ0RARuG6uBtOeENpbwuc4QPsKd9Nt+Du1bYZnL4YxrwBEUWRKdMmM2Va9UlWrTrG06pjfLVt/Xsn0b939bHDl50/gDFDugbsLylzsGztfjwVrp1fF23jiikDMUnHF2PKLSjF5a50+cDRbENR73iYRJEQk5kSt3dNwiyK2EwNW0B8QeF8Lalon30PeZ5cYsyxx+1zLGP/cdYHvNq+6dTPNfDSbN0sG//cwp197+OugQ+yd93+xh4O4I0f//zRr3l66ousmbP+lL+eJIm6NHNJFJD8dNLXbD7AjQ9/ye2Pf8ve1Cxtv9utT7AyImCOjyAIvD16Mp0jo2gf3oLXR56L5QQ3zNpil8tZVLCARQULsFeT3WnxU1FUVIWgGrhZAAYEDa52f6nH0MVvajTLmbmjzMFbt7ynpc6/etWbfLj37UY3SjMf/5blP6zC7XSTuuUgcW1j6dCn3Sl7vaycYiRJxOPxGmdJkrRrUGZ38n+fLsbt9kYvPP/ufL549VoAoloEY5JE3BX9Wsc1vkjZ6U736Fi+Ovdfxz3GLpdjEkyYxcBIlyJPIQsK/kRFYUKLibo4cVVVeSfjbS1CZUvZZu5LeFD3ffaovoxTBSUg2uVYjI+ewIb0wMIU72fM4P7Eh2t0DoPTg2ZpzJ1lTlQ/ES97qeO0SJY5sPUgbqf3BiOIAun7jp5SYx5aJa48yi9xyu5wI3t8M/ASv2sUFRHCA7dM4Muf1xIeFsR/rxl1ysZYFY+i8MG2DWzMPsroNu25qvsZjf651YRCp4Pv925HEAQu69IrwF8+M+sztpVvRUDgwqh/MSzCV7pNVVVmZLxFoacQUNln38ujiU9oWZxO1Um2OwsF7+eV7c7CqToJEoK0/i5VH3bqVBwBGujVYanmxgKQaUjiNjmapZslIi6CQef1xxrs1TWf/J9zdGXYGovRV43wjinIjCSJ9Dq7ZotMqqry1S/ruPnRr3np/T+xO2oWLx4bFcZtV5xNi4hgElu34KHbJmhtNqtZyygEQBB0iS/ldhcut0eb1TcU3+3dzrd7trIzL5sPt69nyeEDJ+7UyKiqys0Lf2Xmri18sXMLty6aoytSccR5hG3lW73HovJz/o+6/i7VRaGnEBUFFZViuRin4tDarYKVFqYWCBX/IqVIrIJPCkJG1n2WKiqmGs7TQqW6S1EbnF40y5k5wB3v3sKhHWmYzCba+IXyNSbjrh1Nq47xZKZm0XfsGbSIP37KdSWLV+1h9p+bUVXIKyhj5uy13OqXCLV45R5WrkthwBlJDDyjna7vmKFdGTM0cHFUrPCfVy6OmiTf7Dczp5i3v1iKrKhk5Zbw9Ft/8M7T/67DO6498w/ux11hCF2KwuK0FMYmdWiQ164rpW4XR0tL8KgqoHKopAiH7NEWQav6uHU3UcAqWok3x5Pp9iaDxZrjdD5vQRCYFHU+X2fPREUl2hyDiopQqe5VjZJ0da6c6jjWU0+Y2Ly0vv8JNP509SQozi9h8cy/SN6UGtAmCALterc9piEvzi1mzttzWfDpYs310RD0PKs7Y68ZRXSCXl7A5XDz5RPf8dQFL7D2tw26tnl/7aJyoqeqKnsP+BYrl6/bzwvvzGfBit28+tFiNu2smTyuLcjC9ZcMRZJETCaRO64ZpS2OZmQXalml3u2GizPPtesNX3rp6R/jHmq2EB8SikkQMQkCiaERBEm+eVJHWydCRd8MuHNQF11/RVWw+0nYKqoSYGTnF8xFqZi5H3Ie5IDD95334PEZdqiYv9ecXrYzAvaFS8Y6SVOjyc7M8zMKuGvAg8gVtTH/9eAULrovMAmiOtxON4+Nf5rCnCJESWTL4u08+PXdp3K4J+Szh2ay7LuVAOxdu5/7v5xGvwnexKGgKiXvzvC7QW3ZfQSH07v45XJ72LE3g349jy9/WsmkUb045+weIKCLcmndUl9UQRCFBltz6B4Vy6qMw9p2n9jqQzVPJwRB4OPxU/hmzzYEBK6o4ucXBZFHE59gW9kWrGIQPYN76fqXK+WUyCXajD3Xk4NH9egWMau6TfzbgsQgYs2xZFcskCZY2tR4Zg5wbcvr+TLrC7bZt2j7qj49GJz+NNmZ+e/vztMMOcBvb8+rcd+cw7mUFpYhu2XcDjc7/t51KoZYK7Yu1RfUnfvBAu3vay4agtViwmyWiI0O49JJ/bW2/r2StAxQi1miT/fauZQkSdQZcoCWMeGMHtIFk8k7a79qyqAGW4R8ZNDZBFe4J+JsIfy374mTnE4HnLLM+sx05qTu4Zfk3QHtKipW0UqIFBIgTxssBmuLmQChYlhANMplsf8mRAxFQGBA6CCSrL7s4TK5jFx3rrad7jqCotZ8rUMQBKIs+idFu3L84hYGpx9NdmYenRCt27aG1DzbLrp1FCaLCZfDhSiJtO0ZWOxh5ew17F2zj1FXnE2HvtVnytWFwuwijuxJJ6lnIuF+qfed+ndkw9xN2nar9i21v7t2aMnHL1xFXmEprVtG6sSzhvXvSHR0KEtX7WVAryT6VKPZXlrmxGKRsJj1H/eRzAJ+mr+FEJuFy88bQGiIb1Htv9eO4l/n9sNsFomNajj/6QfbNuCSvU8aJW4nK46mMTqx/q7/qeLpNX+xpyAXFfhs52YGxifQs0KfxaN6ePPo/2nRKiMjRnNOC720gkP1uVnKlTLK5XKC/Yo2t7Em8lTbZ1FUJeBmoKJqkS6V1M7Rgq7EHBCgl25w+tNkjfmkWyewds56kjemYrFZeOCru2rc1xps5em5jzHnrbnYwoO46N4LdO3fPfsjc96eC8CiL/7if78/QpeBnU96zId2pvHU+S8giCKCAM8tfJKW7bw/ojveuZknJz/P4d1HaNMtgcum62OWQ0OsOmNbiaKo/LlsF3+vS2bZ2v08dse59OrSGvD619/6/C+Wb0jGJIk8fNsE+vbw3rjsDjcPv/wr5XYnkiiSfCiHFx+cqp1XEARaN0IR7Fx7ecVColdWtsDRNEqZ5TnKNceEKAgUOHzRKOnOIxR5CnGpXlnalcUrAox5VeNbnSnOcecgIhJt1k9kHIoDEVEz6Cq1d4mZ0Cc5udSGW0cyqB+arDEXBIGn59a90lGrjvHc+uYN1bYt+UpfgWXu+wtrbMztpXben/YpqVsOMPziIVz26MXaD2vBp0twlHl/0IIo8Pd3K7nk4QsB7w3mxaVP1fp97EnJZM3mA8iygiwrfPDNck1HJTUtl9WbU7W2d7/6mw+fvxKA3PxSZFlBVcEjK6Sm5erOm5tfyooNKUS3CGF4/46IYsO4Wa7v1Y8tOZlIgkCw2cyY0zySpZI4WwgHiwsBsEoSA1q21toiTJG6mXO0SW+MRUHkXzGXMSv3O1RUJraYhE3Sz4xn585ifek6VFRGR4zV3QyCxCDd+f1dNjVFqOJxdRvGvMnRZI35yZK8KZWvnvwOS5CF61+6mlYdfG6NmMRoSv3qZSb1rHm5ue+f/4nNC7ficXn48+PFdOjbnkGTvT7usKgw72KioiJJIi1anXz1dlEUdKFp/kZXFAUUv6gU/wiV+NhwQoMteDwyoijo3DPFpQ7uee5HHA43kuSdtV//r6EnPdaa0Dc2ntnnX87B4gJ6RMc1uMZJXSh0Otic49OYL3I6MPutQ0SaIulu66ElDfUK7h1wjlhzLG0siZgEE71C9NEl5XIZa0vWIONdI1pcuJBxkROQBO9sukQuRkRCqWiviyE2i2YkJO01JOpXjsDg1NNkF0ABFFkh+1AOzvLaVVVx2V08c+FL7FuXzI6/d/HM1Bd17Y98fx/xHVpispjoO+4MLrzn/BqfO/tQrqZLLntk8o/6ikVkJGdohldRVDqc2a5G51RVlZUbUpg1dxOHjxbo2rp2aMnYs7ohCgIhNgt3XD1Ka0uqUl3J7nBpxt1slnjlkYu54oKBXH/JMB64Zbx2XMqhHBRZwSMrOF0eVm1MqenbP2lKXE6mLZ3LHUv+4Lo/f6bQ6Thxp0bGIko6N0mQyYzo5+Yok0vZWe5d4FZRWVA4X5dU5FJcfJj5HodcB0l1pvBh5ru680uCSec2MQkmRL+frqqiGXKovb8cIMYUqxlyAHMN5QAMTh+a7CfmKHPyxKRnyUzNQjJLPDnnEdr18oXkpW45wGvXvk1pYRkX3nM+U+8+T2s7sveIptsCUFilNmZYVBj/t/qFOo2ry6BOWtEJj9tDN7+EnaPJmdqP2GKzkJuWR4czTry4N/vPLcyauwmX28PsPzfz+vRLiI8NB8LLpt0AACAASURBVLzupof/cw7XXDgYkyTqfvQut6wT2nK5PDhdbmxB3rC1yHAbF/rppleS2KqFNos3myS6+C3Gnmre3bqO5IqSaweLC/l852bu7tcwTwV1Jdhs5okho3h5wwpMoshTQ0frQxOrzJmqLmCWK2XIfv7uQk+h7vtoFa38O+Yqfsr7ARGRK+Ku1p0/z52jO5+/Ua4pB+z6G7aRzt/0aLLGfMVPq0jfm+71+bo8vD/tE15c4vM5z7j9QwoyvT7MX17/jYGT+5PQuRUAksmkuTu821LAgtHBHWlkpmbRY3g3XdTJidjuF2JotppJ3XxAu8lMuHEs3zz1PYIgYLVZ6DG8W43OuWpTqlZpCGB3SqZmzO0OFw889xM79mYwqE9bbr9qhBZqaAsy07dHm4oycwI9OsVrhvx4xESF8uS0yfy2eBux0WH8+/wBNX37J83qo4d124cq/NANRa69HJcs0zq0dhE849t2ZHzbjtW22aRgLoieypy8XxAFkSti9MY4XIogwZJAhisDUOkVHKhH0ye0L31CA2+8ALYqkSdmau+ayvHknvggg9OaJmvMc9Jy8XtSJfugvuaho8z3eC6IIk6/7cTubegysBOpWw6gqnDxA/pko1U/r+XDez5DFAXMQRZeXvYMERXG80S07BDP/o2peFweRFHUFW0ef91o2vZMJCctl96jeuoKUID3puQocxASGaL7Mffq0pojGYW43B4UFTok+s75/e8b2bAtDbdHZsWGFLp1jGec303i0dsnsmH7IQAG+FU2OhHdO8XTvVPDJ+wkhUWQUe6VXxWAMQ0Ylvjtnu28u3UdAJPbd+HhQfVXO3Z4+Nn0sg4gSDJjNel/dqIgcnurO9lZvgOzYKabrXaFIZQAeYDaL4C2MQfmJ3gUDyaxyZqIfxxN9pMaOKk/f7z7p1ZTM6Fra1371U//m/enfYIgeFPo253hM2SiJDJ99oPs35BCSEQwiVVis/94dz6uiuLHLoebLYu3MfLys2o0rqufvgx7iZ2D2w8x5qoR9B7ZU9feZWAnugzsFNAveVMqL1z6Gi6Hi94jenD/l3chSt4Z9jUXDiY8JIiD6XmMP6sbbf2kAAqKynFXJE95PApFJfpQPkkSGVyPcfKnmocHjeC/S34nvayEcUkdmNwhUFfmVPHO1rW4K9xSvx/Yx429+hHrV6j5eOzKy2bGlnUEm83c138YrUJ8M3tVVXli9RKWpB3AJIq8NuIcBsTrjadJMNEnpPqZ94mQBEm3eBks1UzL3J+OwZ0hX78vzZFGh+CmEU1k0ISNead+Hbj8sYv5/d35RCdEM+3D23XtQ6cOoufZ3bGX2IlrGxvw2CqZJLoN0WtkVOLyUyVUZIWj+zOqPa7avuUuDu8+QtbBbLYs3s45N47DYjuxa+PzR77GXmGI96zZx7a/dtB3rDeqQZJEkhKi2Hcgi90pWfTo3EqrFjRlfB/Wbz+EAJhMEqMG699Tbn4pKzemEBUZwlkDOuqug8PpZunqfQCMHtqFIKvv8dzucLF09T5ESWT0kC5alumppnVoGD9d0DCiXlXxXziUVaXGBSbK3W7uXPIHZR43Al7X0KzzfGX2duRlszz9EB7Vu6j84vrl/Hj+5bUam6IqpDpSMAtmkqxtdZ+jrUpoYl10VapTT/y7cJlhzJsQTdaYA5x3x7mcd4wixaqqUphVhDXYUusEisTuiaTv8xpwURQJiah5NtxX//teM/571+5n6TfLOefGsSfsJ5mqLJJJvu39B7N57eNFOF0etuxOx+l0a7U8OyTF8MO7N7Nt1xHaJUQT7HfjqBpimHIoh+sqQgxVVeWJ13/jULp3OrZ49V5eefhCBMEbzvjIK7+SkV0ECCxft5/n7q+Z7k1TxaMouBXfwqF/tMmJKHDakSuOVwkUB5MEQecSPFbMvqJ6hbQqQw79x/JJ1oeauNbgsKFMib5Qa89x5yAgaHoqBR59xFNNqM6dkuo8PSp0GdSMJh2aeCxUVeWtW97niUnP8uDIx/n1rbm16j/17vOwhdmwhQYRFh3K2ZcNP3GnCnav2qv9rcgKh3cfqVG/G16+mtAWoQiiQN/xfeg1oofWduBwnva3y+1hd7I+0qBFRDA9OrXSGXIIDDFc6Rdi6HC6SUnLxeWWcbllDh7OxV4R4VNc6uBoVlFFm4fdKZl45NpHSDQlJEEgyM+XbRYlrFLN5jrxwaEkhUVgM5mwmUyMS9IvhHaPiuXc9p294aNmM9MHjQw4x/bSbTx66EEeOfgASwoX6toK5UJSHMm4VBcu1cXK4uW6dm8yv195wHqKES/H0GdpSpz0zLy0tJTLL7+c999/nzZtap5ccyrJPZzHpgVbtPDD2a/+ypRpk2rcP6lHG95c/xJZB3NI6NKKoGp0X1wON6IoYKrifgiPCSM/wzszEgSBTv1q9pjatmcSH+x+E4/Lg9mqj0bo3bU1iqoiCN5QwRGDAn3u1dGmVeRxQwz9Z5+SJGIL8r5uaLAF/+i56MiQExaBri88isJ3e7dzoKiAKR27cUY9qybm2cs5UlpM58hogs2+6ywIAi+dNYEnVy9FVhUeHni2zrgfD0kU+Wj8FBYeSiHYbA7QkhEEgYcHns19/YZhEsVqnxS/y/1aK/32Z8F8BoYNIUzy+t1tok3nAqrqEilX9OskitCwBUUMjoGqYFVnYVJ34RQn4xEGndKXOyljvnXrVqZPn87BgwfraTj1gzXEiv9zrS289gtCoS1CA6JNKvnl9d/46dU5CKLAbW/dwLALfcp+Vz11OS9f+TogEJsYzZApNf8A961PZsvi7XQ6sz39J56p7V+39SDg1fwQRYGh/aoPgatKbFQYT06bzJxFW4mLCdeFGKZnFWGxmHBWyOeKfkZm34FsXVZpRDXXz+5wk19YRsvYsHo19DO2rGV28i6cssyitFS+nHgRSeEnnykLsD03i/8u/QMRAZvJzJfnXkxUkO+9DW7VhvkXXV2nc3+8YyPf7NmGJIqYRZERbdoFHGM+xnWSVRmn6kt8U1B0qodBYhDXxd3IL/mzMQtmLo+5Qte/qkJiTasMVUVARMW4EdQXQeqnBKufIODCqiykSPwEWahdpFJtOClj/sMPP/Dkk0/y4IMP1td4aozH5eH1G95h65LttO7cikdn3U9kReHh8OgwbnnjBmZO/xarzcKd799aq3OX5JfywV2fkJGSybm3TmDctaO1tuLcYmb/32+a/O6H93zO0KmDNUPYY3g33t70GgUZBbTu0gqTn1JhYXYR70/7hJzDuUyZNpkRfu6b5I0p3mgWuwuLzcINL1/NiEu97YtW7dEKL1sEgV37MxjW3zvjVxSVu5/6gY3b0wgOsvDkXZPp3M6ngHesEMP4mHAkwTvfkySRLu19fewOd0WZvYooGbf+B755ZxrPzJiHqnq11j947grCQ31GsbTMyQ9/bKDU7uLic84kIV5vjGfOXsP8ZbuIDA/m6XvPI8bvprkuMx1nhUtHFAR25+fWmzH/Ytdm7B7vzcutKCxKS+HSLj5t8bTiQp5Zu4xSt4u7zhzCkFaBaprVcbS0mB/27UBWVWRZ5tm1y1hQjTE/FnnuXF00CkCESb+IGWmKxK24yJNzWV2ykossl2jfuarCW/GWVjV+bX/CxDCKlaI69TUIxKouRKAymMKJWVmBLJ06Y35SPvPnnnuOAQMaLqHEnxU/rmbnyt0oskLG/gy+e05fV3H4RUP4YNebvLXxlWpDARVF4cjedAqyApNSPrr3M7Yu2UFGShZfPfk9qVtqV4cyLCqUpJ6JOkMO8O4dH7Hj711kJGfy6UNfcmRPuta2c8UeTQbAZXexcd5mra1jYqwme6soKm38NF0+/3E1G7aloapQZnfxsp8O+vEIDbHy/ANTGDG4M5NG9+KhW331Qc/onkDbhCisFhNWi0lbNK3k7ZnLtAcfh9PDzJ/11d2ffWce85bt4q81+3j45V80Xzx4nzJ+XrAVu9NNRk4Rj7z8i67vyDZtCZJMCHizIXvH1F/2aYwtBFOF/0gSBFpY9U8c9y6bz/bcLFKLCnhw+UKKqkgJ5NnLmbbkD25e+Ct78/VJNidTyiHcFOGnXy7Q0hx48/0h93sK5UIUFDaWbiDFkay1lcolOjdMXQtLtLcEugQrXXF2xc7Cgj+Znz+XUrm0Tuf/56FfZxKFU7sG0WjRLNHRdS8kGxsbhsUkQoU/WFEU8MjExtYsa09RFB6b/ALbl+9GVRTu+eg2xl05QmvPPZyrzbwlScRZVKadOzY2jJGXDGXx195FqMsemkJcXM0SinLScrS4eEVRcJeWa+ft0ret9sMxWUwMmXSm1jb9rnN5Z+Yy0tLzufS8/vTv44uZP3AkT/caDqenxtchNjaMAX3bVdv20UtXcSSzgMjwYMJD9WsGkqT3+YbYLLrXTE3L0WqLemQZGUVrP5Kpv3kWFtt1fR8dM5oerVuSWlDA+V270TU6hrpQ3TW456yz+OvwAQqdDjpFR3FZvzN0hTlydDK2QLBey33s+59T6vLOtK5b8DNbbrmDUKuV6JhQWoaEcrjYO6u9sFv3al+/yOFAECDcWnUNJoxHQh7kp/SfsUk2rki6jBYWff/y9BLfhgDB4SZiI73HFNnzdAa8UM2r9vVP9L04zzqRrXs26/YdMaXQL+pMHt3+Mun2owBsKF/H631fCZAlaGrU9HdSV5SiMWD/HJARsBAcMZSQoFP3mo1mzPPySnWKfjUlNjaMnJwS+k48k+g3/yD3SB5mq4nzpk0mJ6fkxCcAUjYfYPvy3ZpA1/v3zaTPBJ+P+tzbzuGTB2YiSiK2MBtJfTto5y4vtrP4G180wTfPzWbibRNrFP7YbWhXsg56dTQ8Lg+H9mXSfoD3vD/5RdyoikrrHkm693Otn1/ef//IwZ3YlZyhXctLJvWr8XU4ETazGafdTY5dr8J3x1UjefrtuagqBNvMXDqpv+41w0ODyCv0zkKcLhlVVrX2IX3b8dXPazXT06trQsB4z45J4uyYJFCo9XuZtW8H89KS6RIRzT39huoiUv63YhEFFbPtHdnZzNq8XVcsOj44VJOxtYgSoW6T9vqqqmqGHLxa63/vO8DA+AT25ueSXeabrc7es5vbe+rXSj7buZmPd2z0Xr8+g7iim14ZMZRoro26CQBPEeTge99lcin5Ll+4oaIotHT5vh9FZWW6cymewOtW+bs5HqFyVMC+j1I+5wFHS82QAxS6C9l39BDRlrrdaE8HanI9TpYgOZhgKkNWFYqKElBK6v6aoigcdxLcZOPMbWE2egzrypKv/sZkligvrnkRg+BwG7JfqF1QqL7ow9mXDKNtzyRy0nLoPqwrweG+OPMje47onqllt4zskTWXirPcyayXfuZocibn3DSOPqN9PllrsN/rqHBw+yHAmzKeezhP04oxB5kpzCqstgJSVcYN705iQhSr1qcw8Iy29Oqqzyz8af4mZv+5lbBgK9PvPJc2rVqc8Jwnom+PRL598wYKi+3ERIUGlJ0r93OrWC0msnNLCKuICGrdMpJn7j2fb3/bQPs20Vx/ybCTHk8lazKOMGPLOhyyh/35eQRJJp1I15YcX0inCixOS9GMebnbTZqfDkyJy4lTlgmueG+CIGAzmTSfuwD0iIoFvBE4Tr/vU7HLSZ69nGhbsHbuj7Zv0GLRZ2xZyyWdex5zQbQqZXIZoiAiq77X8I9Fdyp6d1BVYa+aYpYCNV3K1VKeOvJ4wP5cT26TNuYNgZVFCJqAmhkzm3BSu7KOtaHJPicd2HqQFT+uRlVU7CUOPrjr0xr3je/QkhA/A222BH6JFVkmP7OQvHR9jnNSz0REvwSfsKhQnW/804e+ZOFnS9myaBuvXz+DdL/s0YHn9sNisyCZRCw2CwPO7ae1TblrMhabhaDQICLjIo6ZnVodZw3sxPWXDAsw5PsPZvP1r+spt7vIyivh/hdm1+lpqCrldhczZi7j+Xfns2jFnoD2OD9hMllRiIvxbReXOnj140WkHs5lwYo9rNmcGtD/15Td3PPXPH5J3l2r5J3DJYV4KtLxXbJMcoHeBdW1hd74dPHbtkgSQX7a6UEmM9Yqxvb7SZfSJ6YlXSKj+Wj8FEIs3rh+u+yhKhuz/WayfklF4L2R1CaRLaZC69wqWDELFkZEjNK1t6qy4NnOenz5Bil5P+YF85GS654UFFGHLNN/Gm76ouKdwAmoeISa/6brQr3MzJcsWVIfp6kVskfBv7iWotQ8pKokv5SyIt9iRPq+o7idbi2+e+eK3bxy1Zve8EZBYPrsB7V48aCQIJ5b8ARfPv4tQaE2bv6/63TnTtmUitvpnZmKkkj63nRNrbHn2d15dNb97Fmzj25DuugWZkdfOYJO/TqQn1lIt8GddbP4snInj7/+O2lH82kdF8H1/xrK2q0H6dQ2lrHDjq1dkldQqss8dLo8FJXYaVGLjNbq+PDbFazZcgCPR+GzH1fTtk0U3Tr4Fu2y83yPkqqi6BbnNu1Iw+5wayqQvyzcyrD+vlDLD7at59OdXr/t6ozDyKrCxZ31+jbHIiE0HI9fmF64Vf/E9fjgkdy86FfSS0s4I6Yll3f1FYkwiSJvjDqXF9Z5XWiPDjo7sNB1SCgfjg/MhO0UGYWIoAleiYJAUphvkTqlqACLKOKq+I5GWCyYxJrPo0RB5LZWd5DqSMEqBpFkTdK1l3j0C5JV64H6IyXvx/bGqyBJIMvY774fuVPtSyJGmk7+Ca+pY1K3E6o8DrgoEx/GLYzQtZeLd6GqoUjqPpziRcjCqdUZarJulk79O9DvnL6s+30DkknipleurXHf0MgQwqLDKMoupDIe3D9RZ+VPqzWhLYD1czfqkn/a9kxi+uyHqj33WZcM49c3/0CWZURJpMsg/Q/lWEJb4FVzrCr6BfDcO/M4cNgbPXE4o4CnK+qT/gns2HeUCyf2ZduudPr3StLV7ezbIxFJEpErFiNDbBbdYmZhsZ1Vm1KICLMxrF+HGs8Wj2QW4PF4zykIkJVTohlzVVU14S9vu4jL44GKGYr/rN0kibSK1c/wftq/S/tbBRYcSqmxMc+1l2MWRU0sK6tc70uOtgUz+/x/IytKgKEG6BMbz3eTL6nRa/lT6nIhCgJKxZ2zS2QU3aJ8s/6OEVEVi4UKZkFkaKukgHNkujJYWrSEEDGECS0mElSN8qFJMGERAp8is9z6jOAi+diywWJqCkgSSkIbxPQjiKkpdTLmWe4s2ko1V+FsjoQptyNir/j7fvLFpSD4CbMJZuzCbQ02niZrzAVB4L/v30ppwZVYg60BWZPHQ5REnvr9UWa/NgfJJHHR/fqCzu3PaMfqn9fhtLuwBlto26Nm8cbgdZckdksg62AOg87rr8W+1wVF8WZ9pmcdO/Z32dr9LFvrfVz+bNYqHrljIgMrpG6DrGbeeepyPv5+BWaTxHUXD0Wq0HyxO1zc++wsyuwuBEFgd3ImN/nFva/YkMwfS3aQ2DqKGy4ZqhPhOn/sGbz71TJAwGKW6NvDdwMSBIGrpw7mq1/WgQCjh3QhKsL3Be/RuRVXXDCQ+ct2kpQQxS3/1qtRtgwOpcjlS6AZEq+/ub23dR1f7d6KSZR4Yfg4hiX4DKMk+Aw5QISleinY6gx5TZAVhVUZh5EVhbMS2mqz60MlhVglSbvBFfktlIJXPOzt0ZP4Yd9O2oSFc33PM3XtdrmcGUffxKE6kJA46krntlZ3aO2KqvB+xgzSXUdRUZjYYhIjI3y5D/6+dPBmjB4LpUNHkGXE9CMgy95tPxJNbTnsOXTc62DCFBDb/o9D8SDgv04nIygZqJJ+oiaoBYjkIdMOTnH1piZrzCs5VpbmiYhpE80tr19fbdvYa0dxNDmDXSv3MPyiIQy9cLCu3eP2sHfNfkIig2lXRSO8tKCMH1/+hUO7DrP2t/U88sN9mhyAoiis/nkdhTlFDJs6iBbxvkfVnMO5vHfnx+RnFnDhfRfwzdaDZOfVLp5XBWZ88RdfvOp7SmkZE8Zj1YiRHTich9PlwVWRjLR8fbJmzFPScpgxcxlOl4eUtFw8ssw0v8Sp9onRiKLoneFKElXd2heMO4OzBnbE49b7yysJCwlCVaGk1Em5w0WIn0vp5RETuGvJXDLLSxmb1IHre/nWFQ4UFfD5ri0AeGQPDyz/k5WX36y15znK8c5/vVSnZ+WSZYpdTqKDbLUWYHt05SJWZxxGVVV6x8TzzpjJCIJAr+g43U1kWOvAp6szYuOPKU2Q5/GFFsrIHHam6dozXEdJd6XjUr03iUWFC3TGPKdKpaFi+dgRE3Knztjvvh8xNQWlQ8eAWfm18dfz7JH/HbM/QIQUWa3KYnNEUEsJUf6HiT04hfOwC7d6H0cFNSC5QBRcushys7qGMOU+QECmLUXipyDoXX/1SZNdAPW4Pbxx47tc3/52np76os4HDt7H/e3LdvL39yspLaidUVz+wyqWfr2cnMN5LPtuhc7lIntknp7yIq9d+xb/O/8Ffnnjd13fX9/6gyP7jmrRKos+X6q1zXzsWz6+/3O+f+4nHh7zP8qLfWN++9b32btuP9kHc3jj9421NuSV+Ls4KrdT0nIoLNZfn/i4cE23xSSJtPcreHHU70nA7ZFJTdMnyPw0fzNOpxu3W6ak1MFfa/YFjCMqIqRaQ340q4j3v/mbzNxidqdk8OpHi3TtrULC+OH8y/j7sht5cuhofd8yvRqhp8pdZGB8AuaKhKMgycTYKoJXu/NzmPjzl0yd8w23Lv4Ndy3Ew9yyzF9HDuKUZVyKwqbso+Q7vTOzvQW5uhvHvvy8Y5ylemLNcVhECyIiZsFM1yrFKUKkEF0ceZikz2vwoF+Araq6WBW5U2fcEyZW616JNEfyrxaXHrd/npxLsaf4uMc0F4KVN7GwAokMbOpXmKkMSzbhXdb02XSZNgF9BRwI2BE5gJlVp3SsTdaYL/t2BVsWb8NZ7iR5YyqzX5uja5/92hxeu/ZtPn3oSx4a/ST20pqHLv7yxu+47C4cpQ4KsorYvdqnhHh4TzqHd6fjKHPisrv4/d35ur5upxu1YpamyKq2GAqw9rf1OMtdeFwePC4PB7f7ZmB56flaaCI10D+vDkkSudrvKcLhdHPvsz8y/bXfuG36t2zZ5VNwjIoI4Ylpk+jfK4kxw7rywM3jtLZeXVrj8bspVLoPKgkNtmruGlESA9Qaj0d+UZk2I1ZVyC0oO0EPHwNbtiHYL+KkMjSwku5Rsbw39jzuGjyM54aP49z2emP1xqbVlLlduBWFfQW5/J1+fHeCPyZR1JVJVoHsivhul6xf5HXXYjEevDU+72l9P2MixjE+8hyujNPrw0SaWvCv6EuJlCJpbUngurgbdO1Bgt6dlGA5ufC3IZHDuDr62GtQAkLA00BzRSIZgcrfsBNR9a5PCJQAKgK+MAyJqpniLs3QCzgR1ZrXRagLTdaYlxWVa1maHreH0nzfTFZVVX6bMQ+X3YXL7qK0oJSUTfoLXZxbzJIvl7F54daA8LeYhChNT1yRFVr4aYuER4f5ImcEaNFSrxtywZ2TCI8JxxxkJjohirF+7okOfdtrKouKrNCqoy9V/fz/TkI0iagnUQQiPiacM/38+xu3p5FbUIrD6Y0e+frXdbrje3RqxfQ7z+X2K0foXB22ILPuCTIzp4hyv6eTf58/kE7t4rBaTPTvmciYYfqQq43b07j63s+58u5PWb4uWdcWEmzB5VfPtFuHOF17SmE+U379hhE/fMIH29br2iySxO9Tr+TW3gN4cMBZfDJhasA16Bkdx7TBQzkrIXCR0SJKOoNcNaIku7yM1zas5M1NqymsksovCIKuepBZFImpiCPvHhWjhUQCjKyFLksl++z7+KtoCQsK5vNj7g8B38nW1jZ0s3WnV3BvWlSJJKlawPlEM/Oa0Cf8zGO2iYi0trY+ZnvzwuP3W1AA78RFJbTif9/MXFH1kwuZBN33TaTmE5e60GSN+YjLhhMWFUpQaBDBYTbOv9PnF85MzdLkbwHcDjdxbX0XurzEzsOjn2Tm49/y1i3vM+slvT7If965ma6DOxObGM1VT11G254+wxDVqgX/mXETce1i6di3Pfd+fqeub3RCFHd9/B+uefYKnvnzcV0x6Dvfv4Wx145iwLn9eHTW/Tqfect2cZhMEo72euNWG9KzCnl2xjxtOzTEqvmzRUEgIqxm6pEWs4nQYKs26wgJtmK1+m4yDpcbRVEIsprpkBSjU01UFJVXPlpIabmTcoebt75YgsPv6WRvShYmvzj9wirJXv9bvZTM8lKcssw3e7YHaKAEm8yc064T45I6INbS533/gOHE2kIQgGGtkjirte9zlRWFGxf8wk/Ju/h+3w5uX/xbQP83R51Lj6hYEkLDeXroGK2k3LrMdCQ/P0ttZvyV/Jo/G0/Fvy1lm8j1K7BcKpcy4+gbrCldzZLCRXyT85Wur4D+OoSINSt1dzIcb5G1OVFptL0EoVIZ1uu9gfrPzM2CfvLhEiagEqT1dQv9T+FIm/ACaGRcBG+sfYmM1Exik2IJ9jNUiqzoZjbmILPOmKdsSsVZMWsH+Pu7FVz6sK9yS4v4Fjz+c/WhhwCDzhtAbGIMqupNQPJn/seL+P7ZHxEkkV/f/J2Xlz2jLYDaQm1c++wV1Z2SrANZ3jEnnFyUQGZOEbP/3ELqoRxWbU5FVb2GvF2baG67smYFikVR4Nl7L+DTWatQUbnhkmG6CJB3Zi4j+WAOiqry47zN9OraWhea6PSbecuyissla9EwHdvGVigyKlgtJnp20c/wSt2+JwBRECj3+G4Eiqry0PIFrM08gqrC40NGMqGtPnpAVVUK7HYUVQ0w9m3DI/li4kUkF+TRNSpG954KnQ4KnQ4tuSe1qACPouhm70nhkXx2zoVUJT4kVJudSYJAYligVo/D42FXfjbxwaG0Dg1sl/x+iiqqn/AWZLmyNIPtNR3wnwAAIABJREFUwaNVHNLOrVR1IdbuJncsnkp4lifTpwfsr6sqY1PELtyAWd2AioKKBRfe6CuRwGpOgqqPOnOJ51GqWjEpW3GJI/AI/QL61CdN1piDV1J29S/riIgNZ/x1YzQXRkEVMaeqE7j49i19QlpmiaQapM378/F9X7Dq5zWAwJALBnLrmz4f5rwPFuCsuEkIeEvH9RnTu/oTVeAod1BSUOodqFo7f2tVZEXlyyoqhoqq0q1jS53U7IlIbN2CJ++aXG1bflGZFlMtCAJFxT6XRGWRi0qlRFESycwtJjzMe0Pr3C6OB24ez9I1e+mYFMsF4/UaJff0G8r0VYsREOgRHatTTdxbkMv6LJ9E7hub1uiMeYnLyc0L53CktIioIBsfj59KnF9B5v0FedyyaA6CACICX0y8iIQKw9oiyIbNZMLl8p7bZjLV2CRGWKzamGRVpU2I3liXu91cPf8n8h12ZFXhmWFjA1wxV8VdwxfZn+JSXJwTea7OldLKEo8gCAiqgEkw0TVYv0DqUPUuoRKlfjRHQiyh9AjqwS7HLt1+j+I+Ro+miTd8ML8ifFDvorKq86h89lFxYWUBTqaiEDjpUoR2Aftcwnhc0vhTMewAmqwxLy8u57EJT1NeXI7JYmL/+hSmfeQt6lx1sVN2632KsUkx3PfFf/n1zT+IaRPN1c/oCwirqspf3yxn88Kt9BnTmzFXj9QW7ZzlTpZ9t0JTP1zx4yquff4KbfYd374l+UcLkD0yskchpo3+Q1dkhaLcYkRR5N07P+LA9oOU5vn50oJOTejSvL920qNTK4YP8EV47E7O4JvfNhAZZuM/V43AFlSzhcx/nz+Q1z9dgiQJREWG0Ke7fsEtKiKYdId3liKJAkFW/desf+8k+vcO9GkDjGjTjt+mXEmR00GbsAjd7NpmMms3EYDgKpWAfk7e7U3pV1Vyysv4bMcmHhrkexqZtX+nNtMXgd9T93LrGQO9235JP+BdnE0uzKdr1In1RyrDJSuZnbybW/sM1LbXZB4m32HXXvuj7RsCjLlVtNIlqCthUjhDw/VlCoOlEO5ufR9ri9dglYIYGT5K115V8tYq1G0BvTqiTIHvP9eTi6qqutDO9SXr2FG+nS5BXRgWflatwz4bC7O6ijDlAQA8dKRY/Bj8rp83lrwiQQ4FgcobpxN0gbCgEKi7L6mpiGTjpg8Ip9Y11WSN+ZG9R73uFEXF7XCz/W/f7KFdr7aYzBKeCiMe1y7QD917ZE96j6w+s3DNr+v54rFvcNldbP9rJxabhbMrBKHMVjNmq1lTXDRZzLqEpf+8czMf3fsZ2Wm5TLlrMgl+boSS/FIem/AUhVlFyB7ZF73izyn6DajAp7NW8c5Xf+HxKFx23gC+mbNe02rZlZzBJy96oyhUVeWDb5ezbG0yCS0jePSOibrEnyFntuftJy8lr7CMjm1jsFTRbb/nxrE8/858SsqdXDyxL0mtA9X4jsX+gjweWr6AQpeTm3r244ruvpl7u/BIekbFsSnHGxUwJlGvv13udmvhigqwr1AfIhhnC8EiSbhkGbMkEWvT+5ajbMGUul0Vi1oqkQFStXCwuBARdAUz4qqcp6qMQHRQsHajkASBlsH6J6QSuYT3Mt7BpTqRkMj15HBTvL6gSpozjWXFS1FR2VO+i1tb/UfnivGnPlPtB4UOZkXp37p9MjIHHKm0D/JmDW8r3coPud+iorKrfAcCIsMial43tzEJVt7QDLTEAcysw40vkc0u3IBF/RsVNwpROAXv06pIHlSRTZDUDGR831eLModQ9SVURFRiKRS/PqUGvckugLbu3MrrPhG8Brb7UG9ExZ61+3jx8v/DZDUhiALWYCs3vnJNrc69f2OK5k932l3s3+ArhOx2ugkKsWorH/0n9kUy+R7NImLDuf/Lu3h52TMMv2iI7rwf3fsZuYfz8Lg81RtyQNp3tNr99UF+UTl2hwe3R+GrX9bpRLfyC8spKvE+0azfdohla/bjcLo5cCSPj79bGXCuuJgwuneKDzDkAB2TYvnkpav54e2buHRy7YqXPLZqMellJZS5Xby/fb1OybDQ6WB7Xpa2/c3ebbq1kdahYbp7YZlbn4k5qX1ngk1mRAQ6RkRxQcduuvaXzhpPp8ho4mwhPDJwBC1D9Eb3tY0ruWb+T1w1/yfe3PT/1J13fFvl9f/fd0iyZMl7O3acvRdhZAIJhEDYm7KhZZXSslr4AWWWUmhZpS17z7LKHiGBhAQSMgjZO3bseG9b1rz3Pr8/rizpWo7jJA5f8nm98oqlO3XHec5zzud8ztLo90MyrIPV5Hwr33hcdh5nDRmJQ1bw2BxcMtLKFGkI19NJfOyuaKhNa+WN+lcxleENdgbL2Ohbz+7gkvdPeyceNrl7L/8/NU/wx7IbmN/0FV+3zovODgSCBa0/v1bTvkKQFEcfDHVJeIJDfIpJQdSRaUbCfB4NCgCly5zIGgFwiReQCCDjQ6IeGz8eoF9h4qA15u60ZO757A5mXngUp15/Ir978ioM3eCh8x+jensNAW/Q9NqDId7/x0cJ25evr+CeUx7grpPup3SNlX0wcfZ47E47ckTd8LA5cVWIa3eahj7CSVr37QZ6izULdv8CdsK+rQZ19U4IaSSUVsbB6ejbBstmOMScYXh9wRjdyhC0dwR3v2E3CId1FvywhYU/bE0oYtoT4jXDZUlKSIhazrlLc4RRmTlR/XKHojAhx5qo+/uK72gPBTEQ7GhtZlMXpsyA1HReO+FMPj7tggSOui8c5r2tZm/SoK7z3y1rCUbUEqu9XuJZ6A1+a5hPCMFX5dsJGzqtoQC3LJ6LHkdlzLcXoEoqCgo2yc5olzWPUBWyDvAGBkrEK6/wWQ0/gJ2+C7NkO7J7XP5566eEDOugGRah3az9y0OMnWJ+6pqzsvE9EsHIUgVVmO+7RDNm04kYVFZYttXJQ0RMrISBQc/Xcn9x0BrzjlYf/7ziPyx4YxGL31mC3xsgHAxbqjXBLNxpqrLK2BqGwV/O/Dubf9jK1uXbuf/Mv0cTogCjppnqhufccjq3/vdGSzgmuygrKlylqAoFg3uf2U/L7Z1Oi620FsenZiOD3Rn0Vx65jOys/aOgZaQ6SUtxkp7q4s/XzcERSSBPnjCAzLRkkhw2khwqvzql9961EIJ7/vkpT72+iKde/5Z745pugDk4PPPmYi65+WXu/edndPitA8V144/AoSgkKSpjMnMtsrUpdge/Hz8JVZJxKAp3Tz7aEpsdlJbBg9NnccyAQZw3bAw3HGLVSq/1eaNsFVmSaPD3nvdrk2ULs8UmK9EWdEf1K8EmyyiShAwcmmtl6AR1nXqfDwPTB2gLBS2DVJKcxA2Ff+SEjBM5M/Mszsyyin0V2AstTZozlAyGR6pEtwWtPH4AVe69TlFfIFOxxtVLHInt536pUNkcZ5B1FKxMoRDTot67KWNr2gKZRL0kmVrL5w75XjTGo5NPh3Q9+sEggft/gbkvzKd6ew2GblBfXs/H//qMC+85jylnHMGSD5ahh3UUVUZRVU678WTLtlpQwxdX/h/0BQl0BEmOk4bdnbphZkEGN718He/9/UPS89K49IELe33ON7xwLY/9+j/U72rACPfMWpEBx+eryDx3CpLLTlVdW9Sunzl7PKqicP0lM7n94UQ+dG+RluLk4dsTVQKdSXYeu/NsdtW0kJmWnNA2bmdlI/c+8Tmt7X7mzBjFZWdOjhpVfyDMpu01UamADduq8QfCOJNMA/Pdyu18vWQzwZDG2i2VvPbBMq76VSxJecKAIUzMLaA9FGRAanqCN37OsNGcNXSUGeXqJsk2Kb+Ik8eO7LaLzK9HH8I9SxegSDIZSU4O7yLiZQjB+sY6HIrK0HRr4tqmKDwwbRZ/+WEhEnDnpKOj1EaBQBNGdKB4dNUSJuYW0D8SV09SVcZl57KxqQGBYGBqOil2a1w9VU3l6NSZCecMYJNtOOQkdENHIJiReky0ZVt3fTu7FhXtL+zYCbF7b3tX2Do7aNQadrPmAYAQSLSZ4ZF9KJYSFt9awsB67fzytRiiAEWUEZRPxJDMZ0YXJZjmPX4P1vfEkHJoU57d63PaVxy0xhwhQETKwjFnR0IIdm2uQpIlVLtC4dACrnv66gTv2e60c8jx41m30Ax7DJ801GLIq7fX8Mhl/6K1ro3TbjiJOXHNjqHn5GlP6D+qmEeX/o0X/vQy815euMf15WCYk4YWcMIVs9B0nU3ba/EkO+gf4aKPHFJAYU4qlXX71lF9R0UTV9/xOn/70xmkpVgTMzZVYUC/7jnv/3x5AU0tplf7xYL1TJs4iKEDTAphksOGO9lBm9dMKqW4kyxsltZ2P+GwGZ7QNIOKaitfN6hrfLVzG62hIGcMHklel7j1GxvX8NKGVWQ6XTw4bZYlEbknHFM8iCHpWdR1eBmdlUtSHBtGCMGfFs1lRW0lQsA5Q0dx7XirwNrUgmI+P/2irrvli7JtluYTumGwur4maswBHp8xh89KtyIQzCkZuldsj+3+rYRFKKpTvqh9IZMjCcYfOpYkrO9Q+pYRlWvPoyKUGM7phNLFjNh+rpmBCJJqnItCBWCnRXoZQ9477zfMMch8gll670STulS+SgpB6ayE7RRpKwgrXyHM+L3+CX2JgzbMMuvyY8gtyUZRFbIKMznluhNorW+jfF0FWlBDC+nsXFfBQ+c/xvxXFiRsf/1zv+W6Z67hd09dxc2v/sGy7ImrnqJySxXeZi9v//V9dm2q7PV5BToCvHbXWzx+xZNs+9E6ZfM2e3nx/73G168v2s3WiUjNMjnLqqIwemhB1JB34vG7zuGq86d1t2mvUNvg5de3vMqP63f/snZFc0ssPBHWDDZsjelpy7LE/TedyiGjipk4upi/3HSKxXANHZBDfO63rsHqQd/x3XyeXrOCVzes5pIv38cXjnGat7c08dTa5bSGgpS2NvPn762JNiEEH23fxDWffsj7Wzd026Wo2JPKoXmFFkMOpvb5D9W78GsaAV3jjU1re309ijypKHG/UUJieJxujG4Y3Lt0AQ8uX8TL63+ifi/COwDpagaa0CyfO9E1WXogMMTZs4EsdpREi5okJE5I674+oa/hNJ5HoSJy5BAecdNe76NDvoUO6Wb8XEar/DpC6h3zSpDISpE5sD1F94SD1jN3pyXz0KK/4Gvz40pxUldez3+ufTah41DdznpevfMtBh0ykJLRMW6zrMhMOHZs190C0N7ojQouyIqMt6X3L9+/rnmGNd+sQwtp/DRvDY8sfYD03DSC/iB3zrmf+vJ6DK33hUHxydfuoCgyF505iXc+XUlTa+/FxOJhCMHL7y3lkFFW7nd1XSuabtAvL81ikIsLMmhuiw1wbR3W4xbmpXHH7xJld8HUEnfY1WiVaHy1KMCK2iqChpm/8IaC7GhtZnSWSS1tDQUiSU8dAQn6KfMrdvDwyu8J6BoLlTKSVJU5A3rnqbltdktxWVd6IURok4u/ojUY4NdxtMljigby/NqVVPu8JCkqf5lyjCVMs7iqnO+qyhGYcfuHV37PY0dbr09NqJql7UtIU9KZljrdQjsMdUkoKsTCCWlKOjXagRVwmpU2m69b5+12+Sb/+iibRUamTqtlMLEEcnO4iZfrXsSv+zkt6wxGuEb2yXlJNMb9DTL7oDQqqQSlM/d6MzNxanUWusbbf24ctJ45mDHTUCBEY1UTN0+9na3Lt3e7nq7pCUnQnnDObWdgS7LhSHZQNKKQwRN7n9DZtnI7WsRA6bpO1dZqOlo6+PWga6nZURtpd9d79Lbpxk1XzEKRpW41vHuDZKed+qZ2giHTE37xne/5/T1vc9Nf3+PJ16084xmTh2G3mwbFblMZPbT3okslRZkMGZBDkkPFblM4/5TDLMvjS+E1Ifi6IvaCjM3KY0BqOk5VxaEoXDPOuu26hjoCEYZJQNdYU29NSPUEt93O/VOPJc/lpn9KGo8ceXzCOnd8P59KbxveLrTJ/25ZR2PAHNAMIdjRan3WQnFSuwKiLJhOtOvtPFH1GIvbvuWL5k95t+Fty/KmcGO0JR2Y+ued6JpTcNJ3tMRO2GRbgv5LPOKFvnR0ygJlluV/3/Ugu0IVNOoNPF/7DK3avoUFuyIgXQbIUbErP73vNra/MBUSYwOuWSFqJSRIwkuyficp+sXYjG840DhoPXMhBM/c+BLfvbsEYRh7NJIjp1o5xTtWlzH/lQXkluQw5+rjLE2Zp589hbTcVNYv2shhcw6xLANTcXHlFz+Rnp/GuJljLF5r0fBC1keaHGtBjV2bq3j7b+9HK0YPFEYOzufh289k84468rI9PPCfLwl08Xp7wtayeq687Q0Arr90Jh/Nj4QZdPj6+81ceNrhpLjNqeVRRwxBlmDt5ioOHds/waMHk54oyVhEuMD0zO/+w4mU7WrE7XKQm2UtfZ9RNICtzY3RcoydcTxzVZZ55thT2NrcSHqSMyGePq2wP+9v2xDVVDm6KLGxsSEEIV1PCLMATC/sz/TC3bdCq+2IeX6GELRHGCmtwQDhyGxCM3RLpySAI/v1583NGWxtbsSmyPx+grX+oDpUFe0WpKGx2ruKc7N+FX2uNKEh4gpU4j1zVbb+Do8tUUO+LzDMOYJN/u5puE7JhVfEQgxdE6AhrNdjWdtSZmXM3v+TkhSEcAEhk2kid5HNMFpw8A1hRu0+li4COI2XkaklIF+ALlk18CWjgRRxOQr1hJiGV34IJAld9MeqqAgG1uJEj/EHVH5CAlRxM23GU2iy1QHpSxy0xrx6ew1L3l8a9YJ3B9WmMPOSo6Pl9mB29bnvtAcJ+oLYk2zUltVxxcOXRpeXrd3JIxc/gQC+eHYeN718XTTh6WvzceuMu/C1+5EkiZN+O5sz/xiTYi0YVhA15gAv3/b6Pv/GsceM3qv1+xdmRmPqrz56KSvWlPPg03N7ta0WN9g89pI1Fm0IkVAcNP3wIUw/vPvekR/OW82r/1uGBPz2oqOYMcn6IimyzKDi7jm3Hps9arZUSeaMIdYpuSrLjMjsfttDcwv414wT2dzRxGBXegLPfF1DHb9f8Cl+TeO44kHcPXlGrxORrcGAxaMOGwZD08xrfUR+IW9uNgc/ARxVWGLZ1qGoPDfrVOr9HaTakxIGknx7gaXBhI5OdaiKAkdh5DqYnnFnKMOlxLxvWVgn1ylyoohXX+DS3Mv5oOF9tvu20Wa0Eowz0H5hbXxSsAc99a6SvfsKu5gXaf5gXrsk4w28iqlMKBu7SBOn0RkK6TBuIignitx5jBuxYWoZOYyPaZY+Q8ix5ytFXIlCJRJg52uSxCsEpEtQpW0IIUXmBSYcvIufWLs/lY2W+YxDfIDGgTPmB22YxeawWSoYdwfVYaNxV6Ol21D5+gpkJZI2CYTZEGd8AZZ/9iPBQCiqh77o7ViHkG0/7iDoNxtTBH1BFry52LLtESceit1pR7HtX1FPcmYyt75x4z5vryoKkyYkeqa9hS1Opnb8iH6WHqBCCJas2sHnC9YnSNh2+IO89r9l6LqBphv8+9UFvbpPnXhyjbXwYnBa76UAwGzP9tvDjkgw5AAPLPuWjnAYQwgWVpbxU31NN3voHoosW1QWHbIS5Z1/XR7TypeAZbW7um6OhKktY5NlllfvYuqbzzL5zWd4e/NaPIqHFCVWg6BIiiVm3nW8ccWVhLcYVlG5rl2H+gqqpHJW9jnc0v+2hGXxxllCJj9OVbG7JLRD6r43624hfCASC9cMKQ8isxSBik5MMM8lHia+eYRL/LPbXdtYGSdja5DE+5blMvUWg6yILZE1cyJ9huLX7dIJi+GWNXRp75yzvcVBa8zryxsSkp3dIeANsOqrNTz3x1ei3w0YVxIt9LI5bIzvotxXNKIfjkj3HLvTzoBxsam3qbhobqzaVYq7NHseOXU4d7z/J867fe+TKp2QVZmHvrlvn7fvC5x8zFjyslOYMnEgf7zSSs188b0lPP7iN7z03hJu+Ms7lsYVgKW6UdcF4S5CZ/VN7Xy7bGsCLRGwiF1JZiCyzxAvSCWESBCoAvixrop55dsTpADcNjs3T5yKXVZwqir3TZkZ9eoznS5sEcOuygrpSVamQ1DXuHLeR5zw/quc8L9X+d2Cz+gMnDz84xJKmxq5KOcSXLILGZmjUmeSY4+pRfoNv7WTUZzB7lp9afsZJtsOEpPDneenSoqlOYYkSZawEMAgV5f6DaMJl/EIDuNV6PJOO/V/kGEcSYYxDbtureQOi/HE7qpAEDcgYq3qjnUL6nJo0rqESqyS1gFOiWtAIRGQTFE+nUIEsSYu5jrW69ImPUWYwzBIJcipBKSe2/HtLw7aMMvSj5b3mhVi6AbV22NeWEZ+OkefP425L3yNoRvoXUI1R5x8KE3VzSz/dCWjpo1g9q9jLdVy+mdzxSOX8vpd/8XusnP2LVZ9a0M3qNlRa2m7tiek5aXiTE6iqboZIaBgcD6p2X0zXe5fmMHOyt4nfzuhyBJPdlGT7MSiZduiLBRF0dhR0RBNgiY7Hbicdjp8ppGxqQqbS2sYO9wstthV08wfH/gfYBrU2689njHDYtNyh6JYNMxTu4hdCSFY01CLHGmkvDd87SvGTOTWxSYrQxeCXKc15v73FYv53zZzapzjcvPmnLMtIZHTBo/g1IieS/xxR2VmR4ukdGFwSLZ1VjBv5w62NDeiCSMhng5w5w/f8OoJZ3Fv/78mqBECZCiZUY45QMCI7aOrJ56sHvhGy9mOHNqCVi80WXbjMzrItxVwSLK1CcPlOVfyYt2z6OhM9RxJsSMux2L4yBBzIGJsHXxFG6bjJRk1OHmTzmoSN/fRxCnRTW38iEBFJgToOPiCAJdF1o4lIzt5Nt2hXXqCVHE5ggAao6NCWp3wK39EN8aiijUEpdPRZXMgsmNKYHfeKYnEHqDIdtp5qtvjHggctMZ84LgSHE57VDt8T8jIj1V2GYbBVy9+E01KLnhzMWf96TRSIsk4SZKYc9VxCcVCnXj/Hx/R3tiO0SB48FeP8MSqf0STpM/e/DJLP/iBoK/3+hT/WvUwhm6w5INlaCGNKacfEWngsP949I6z+HzBeqrqWjl11thoknNPEICm6wkJTIAB/TJZu7kKTTcwDEFel4GnX146W0rrooYpvsPRkh9LCYW0qAf+5bcbo8ZcCEFzHN3QEILWYICkOAN15byPWBsx5sf1H8Tdk61Vk/9ctZT3t20k15XMI0cdH9UrBzNm3ilaqhsG725dzx8OmQyYolzvbo0l+Go62tnYVG8J1wghKG1rJklRLQ0mPt2x1cI2WVRVzsC48NCexhtb3L3ubnCqClvrHMqCO9ji38xQ5zBawtbZjU+3xq8PBMa4xrG9i4yAN6Kh3qA1EDRCFoGuBW3zo4POD97vmZ1xfLRTkZ0FQDhqFFVi+kVSQgMIw6wOjFS/6tJApMgUW2BHI1bIpzEUlU4dFTOA0h10eShNYiESvkgVaeL1D8mzCWFN2BpkItF5bBNhxnV7jJ8LB22Y5ahfTeOMm0+h/+jeNZbwxjUOliQJW5KV8tf18+5g6AbVO2rQI/K7vjYf7XH9R5d/snKvDDmALMuoNpXpZ09hxgVH4nD1XQWfJEnMmTGa35w7lewMD8//rXfyA+99sYqzr32Oa/78ZrTasxM3/eZYZkweyoRRRfz5uhMSml7cePkxDO6fRXqqi4vPONxS6FSQk4rN1klrVCguiA2yepf4qi4ELlvsvqxrqGVNQy0isuzzsm0W2t9XO7fz+qY1+LUwZW0t/Pm7+Zb9ue2OaNxblWXccSX1tT6vJTZqgIUtI4TgziVfc9mXH3DuZ+/wapyG+cDUdOyy+ZtsspLQaWhW8SDSk3YfJw7oOotaF/KX8rv5T9UTCdS9rlonMjLNmmnoupbZ+4wDb8yHJg3b7TKf0cHLdS9GP2tCY2tgS/RzWIRZ441dOz2Oj27e/dg9MaTBCJzRMIdBXtSQA+jSEAKchkEaYUbRId0cdyZWOmiPkBSE5NnzqBsHgxRiOudEEqQre739gcBBa8yFEPw0fy21pXV7XFeSJSafGssiS5LEDS9ciyfTgyvFxVWPX47THfMeg74g7//jQ1645VUqu0jSyorM8COGYk8ydcxz+udYQiL9xxTtd/LzQCIjLZn/PXVVt8uK2uuYXL2Bova6qA5MXWM7b3xk7W2Y7HLw2wuP4s7r5jBqSCLHPCfLw0O3nsELD17EiTOsdLEpEwdy5vET6F+YwbFTh3P67FgJtN5NDiSeR93gtxoqCatX+1npFsvyyg5rRd55w0YzITsfh6IwLjuf84fHzi1vx/dMVwLRF3N0Zg7ZrbsI/mQKhdX6OlhQUUZA1wjpOs+sjb24Y7Jy0Q3D5BoLwagMK0VNkWXqfLsvPGvQqvms+RNa9BZKg6X8t946e5IlCTnuVbVJNka5uk+mdY1PHwik23rWfmnVYx61gmI5d4BMW0yYS5cGoVMSNbgdcWyQWCMIEwbWZLhNfEsSHyDTgo2NOPgobtv4pKwpb9uXsIl1COJIAYDOvvfv7QvsV5jl448/5sknnyQcDnPppZdywQUX9NV57RH15Q1s/3EHocCeW1gpikzRCGs8a8xRo3h6w+PRz9tWbufHr1bTVN3Mj3NX42vzYegG3723lMdXPIQ7LRaDu/WtG1n41mK0sM5R5021hERueOF3vP3A+8x7qXdFArOvOnbPK+0lgj99hpIzALUg1l5Mq9qIXleKY/wcAH538VH865WYPkxRex0Xbf4aAxkZg1eHzaTCk4NhCMKagdcfJhDU8AU1/EGNmgYvFTUtZKS7cTpsBMMGYU0npBkEQhrV9e0IAS6Xg7BmhmP0yD/DEGQWD6DSb3Dfyyui34V1gyEdVp733c+tQJbM6KSBYGhH/2iIJsXh4J6XlqMqMqoiI3wuin35CARCEhR6Unjxs42oqoxdlXHYFOapq2RiAAAgAElEQVQkj+b0tHE4bArrtzWTZFew2xTctnxu933OogHHE8wdxEnJgsC8/5B07G8Bs41cPOJnDP/dsi5Sk2q+1AsryzhnaMzYBjWtR+/QYdOiBk9gUBGs4ObS6wGY7jkKu2y3xMyHOofjVrqPjY9LntDt930Jm7L7WayExMzUWJs0SZK4LOc3vFL/ErrQONx9BIOdMW9cZW2U+gfg5FWCmHZEppr4uLRKjDUEoIqNEKFISgRQxVqCnAdAiGNwEFPsFH3st4al0Uiic98mNLpQdUUYh/gQmWaC0skR9s2Bwz4b89raWh599FHef/997HY75513HkcccQSDBycqDR4IuNPde54+RaCFdfzeQML3oUAYf7uPB89/lLI1u9e4qNpabVVQlCSKRvQjPS8NV4q14s6dlszlD17Ekg9+oKNlz1PeMdP6prQ5HkrOgKghUgtGoFVtJDDvP6hHX01TW4B2X5icvGxsyW5kWUFSFNQklS/TzsSb5AZZIeRMIdXuRJJl1tbB7x/fnZ5MveWTLEkIYUSaahskO23kZHhQFAlZllAkCbtNjv4tyxKKIqPI5ktburMBI0IpUySZof36mfdZmC9Nke6m3tdBkqqSaktC0w00Q6DrBlmOZLyBMP6whlNWcQQcrN3RiKYLQppOaA9KlYPVqVwW+ITFPw2j2bGZt7WZ1H7SSnLSCpxJKjP1UWxsrUVSYXbuIBatrsLjspOpu3FqNgKyRgiduWXbOGPwyCh18fOdW1G6tKWLR0t7Mh4lBaG1oqFZeNuL2hdyeLK1yMgmxYypjIIR54UW2ntfjbs/cOLCT+LznalkMdFtlUwe7BzC6ZlnIgET3F061IsQxDFNZGLJep3+CNwIAoBEEOt1CEnTcIpXEGiASkiOxbVVlsUOQQ+euTAifPU2QtJxCCmReCCLcmQa0RgNkWtvkIuBG5lgdLBxMA8/MX2YZONuHHwDhEkSb9Eif4iQDlyCep+N+ffff8+kSZNISzOV4WbPns0XX3zB7373uz47uZ7QsKthr2hr44+x0g+//+AHnrruefSw1lMPCBRVpt+w2AsS9AW5/bh7aapuxtB0rn7iN0yKK0kP+UN89dLXvTLkAIMm7J/2s24YNLb6Ka1uo9UboqUjSEu7A1vKSRz+6T/5SRrFGH0dr/qPYuMbtRCnueyOsC6EELS4UxD+NhyhAI5wAF11ENYNhGFgV2XOPXECbpcdl0PlydcW0tLaYXKIhcFRhw/minOnYlNlmpo7uO6e/xKK0BG9ssS/b7rScs7fLNnMy+//gMtp4+bfzGJgsTntrvd18MpHSwjHNQi4/MSTLPzu3iA729OtBO5jPy7hgy2bkAxwKw7+Mf0EFCETDOkEwzrB0EjaysIcX/UN2zKmke4ehz2g4QuE8frCBAOC3GA6vjaNxY11LCYW4huIOaMwJINgpc6tZd9TlO7Bk2ynOthOemsqATlMWNHQVA1N0TpFPwnpEqdlns5LdS9gdNPQe1nHUsvn+B6fRpcCHPtuOgP1NS7Ivpjn6hOZGq1GCxv86xmXbIbPhBA8XfNvKkOVgMRy7zJ+m39ddH1DKgChEItxx9/rzkFLRD5tNdVSI6E3XRpFq/w8NrEcTRptUTyU47z4ToarZDQjZGuIKNm4HztfAgZO8RIt8rsQx4N3GB+SLB5EoGBQRKv8Ekh2HGIeMu1RQ26GWayOrN3S2CKMQikaPTd33x/sszGvq6sjOztWKZWTk8OaNWv65KR6g8+f+YpwsHddwt0ZbuxdEpzP3fjSHqtHc0tyuO2dmy3e9/rFG2mqbiYQ8fTfe+gDizF/7Nf/tlSA9gTFrvRIQTSEoNUborEtQGNrwPw/8ndLe5CWjhDtHaFux7QUlwubcxSTjRWs90ymeMihjHTa8LjsuJ023E4b/375ayqqGhGRWLW7vY4MbwO73Fk0eOIa1dpVJgzKiLJW2ppbLPIJKS47zojMrcftiDIyJCA9zapX0dTSwZOvLyKs6bS2+/nbU1/yzF/NaXV6khNFlglHWEY5zuS9NuQ94cud2/CLMEhmHs2r+JkY10hCq9qIb+Vy5PEnMWTTQsZMmYpaEAuXtAYDfLlzG8mqjSPzBxAM6rT7wzzw/WJ2NrWi6AqqoWAzVBSbm2ZvkPI6L20dIbKNRDlhTdYIqxqaovPUZ6sIJw1AdgaQXQHkZB+yy4ekJN7d+khD5ZCe6G12/AwJUIDh7uEc65vFvI6vEpbZ4wabgAhQHiyPholKA6UEjSAO2Ux0GhQQ5hBsmElRP5dGt5VoR6YpUpwjkKkCAhCnWKhLw9Elq1THbiH80EWv3M5XyER0dWhFoRSdWHjSKZ5BinrfFaisQeNQBEkQF1oDCa2LMdcYg43ldM484ouaDgT22Zh3V9m1N5zfzMx9n25kZ3vIL+5ea7s7zDhvCtnZVs2KPVH/VJvCbx+7lJETrVWUJUPz6dRwlRWZnOIsy743fr+520HGleYkHNQI+2PL7njrBhSHjeqGDqobvNQ0+ahv9lPf7Keu2Udjqx9Nt15nt9NGdrqTnMxkRgzMJN2TREaKg4yUJNJTkshISSLN4yBcsZ7a/71DyiFnMebHuRx7xGycJVavoLpmDI+/ECvdr/DkUOFJTOI4k2yMGJqHGul1Ov2IISxYsgXDEDjsCldffCSeOLmEv99+Bk+8uICkJBu3XnOc5fpsK6+3tJJr7whGl+9sabEU8jQGfAn3rbfobrvRubksqaggbOgYCMb1LyDbY67nK11L6RePc7djMOvKWnlm8nkUff0kaaffiLNkDEFN49RX3qDO60UAhxVs462zzPhsSbWHdeHKKBsn3+3hnxfOxG03jZoQgnZfiPd/Wscji5ehago2XUXVVVLtGm5Dpb08AxHqWrUqTOOe7Iv+U5J9bHI3s9azmcGZiVWueemZZKd0f8329VruDhdln8e8ZVZjXphUwPTiw6O2wBDJeKrctIZNXnqqzUNhTmZ0uTCaEHWbMU2igitZwR25J4aRDPVOiOi+SEo/srMTn08hwoBqsT9GY1Z89AYJyMhMRY7TrsnO9mA0DoXwWkBDliA9awiS7InbTw6E6wADGYO0jCIk1YMRLIRmLbpvELikj3Fn3xE7L+NfiI6nwGhAdl1Glu0Xasxzc3NZsSJWel1XV0dOTu+zuY2N3r0q8+5E5xR60plTePsfH++2MXI8mhvaE6bds6+cxf8eTuwN2gldN1jwzhLSi3Pwt/nYsbqMCbPGklGSy+k3n8LnT80luziLy/9xiWXfgyYOYsPijbEdSRK4XQw9dRKHn380Oyuaqa5rx2tIPLq0jtCiLy2rprkdZKYmUZLnYeLQbDJTzM+ZEUPtdCTesviwgghr1K9bG42Z6wUjcKQNoua9h6Mx9E48++biHkNMnRgxOI/m5pjHd8350xnSP4d2r58Zk4cR8IUJ+GJvTlFuOg/dGiumir8+S1ZaZUKLC9Kiy42QRjiO0eK22bsNl+wJuwuz3HnoUTyh/kBth5dLRo1HDUB9wFyvet0K7ncMZaXsBl3nhnU7+HjmNTRu3YAjuYRtLU3UeTuiachlVZWs2lFJP08KFwwaw9el2/GGQozIyOKZY0/F3xrEH5li+7Uwv//mM9Y01MY7lciyzqDDNkcZcUKXMfxJGD4nRocLvcOF0WH+rdVnYpT3izZkeeybKiSpEsl1DIqnA9njRfF4qTBkwpl1ZKYkIcdJaO7umvQ1yvw7WbVrA0VJscKgczMv4IXa59BEmCwlh9r61miVqE0swY2OjAZo6B0f0xi4AgBFbCVVhKKhDF3voDH+NwhBsnEPDj5FkEKb/B90yaRN2owj8fCZJQzib3wUv2Ia287rIYm/4+JhZOrx81u0RhXidMll405SuBwZL2GG0t6UCVI7LmMeSXFdhgSgiX60JVzjSIgxhGW/+wJZlnp0gvfZmE+ZMoUnnniCpqYmnE4nc+fO5b77fr4S9Jz+2QwcX8L2H0v3uO7it5dw/p3nkJYdK/ed//KCHrcRhuCb1xex9bXPKMBLFW6eVVN5ZOnfOPnaEzj5WqsedSiss2LpNmokG+rksUgZqea/NA+SqrAJ2PTFZlRFIjvNSW66i1EDMslJd5Kb7iQn3UlGShKqsv9hBb2u1GK41YIRpmGvK7UY8/jZiSwnVFJHMWqI1QNUFYXjj9y3xG12pgebKhPWDGyqzGFjS6LLGgJ+VEkmFFEQ9OuJYbBPd2zhzc1rKElJ59bDpke9XwDNMHjsxyWsbarlyIL+XD7qEIu35rE7uO3wI7s9r/DIY1lT/h5EeOvtoSDHfbeUSXn9uNcwyHO5LbMGGYlKbxv9PCk8uWYZ/rDJWNnR2sK6xrposZFmGPxt+SLWNSTK8bqc1qS8pBgobh+K2wdxWt2dELqE4XcidXiY7TibBZXLaW4Lo7e7CTcUgWbj0R/NUKeqSOSku8hNd5KX4WJQcQZuu0xhdjLJvayp2Fe82fAaf+oX03BZ1LoQPdJcozy4k3W+tdGYus7AKI2wa+EPCTRLaz5AZSUOvkLCQKKFZOM+2pTXAHCIRP11G+voqvgv04Sd75AIIou/0ipeBCkWVrWzIJLkNLCxGYd4n6B0Dggr1VTgoF16KOGYitiGKtagSWPQpe6F6foK++WZ33DDDVx88cWEw2HOOussxo7tvtnDgcCqr1ZTtq73XVbuOfkBHl36t+hnoxfl9v1EO79iEzrmY/WmNpz3HvuE4246naqGDqobfVQ1dlDd2EFDS8B81Q8di2IYiFYvoqkNo6wS0dzObc9fTU66i3SPw+IxHQh00g/joRaMsBhygBsum8mDT88lrOmce+JE1mzaxfqtieJTP66rYM7Ro6OGMRzW+WrxRjr8IY6dOpz0VCujRwhBQ7MXh12NyuZ2YtbU4ewob+DHdeWMGprPqcfGquZcqs0SvgvpOnN3buO4/mYscmNTPQ+tWExA1yhrM0My90+NUTtf2fATH+3YRFDXKWtpodiTxqz+VknT3aE4JY3zho3h1Y2rMYQgbBiEDYP5u0rRF89jUkERBckeqjvakSSJ9CRntGlGjc+LFklcSpJk4ZSf8sHrNAa7bxricu5dMwVJEShuH3aPxuR+2XyV9gOdfpoQIAIOrnLfSm2zn9omHzVNPmqb/azd0cjnP8TelVS3ncKsZAqykinMSqYwy01BVjKupL4pCO8622vVW6MDoYGIyv0CGFI/2uTHcRqvo1OET74mukyXBhLgXJJ4DYETr3yvZb+yqIU4LroUx64R3Zi2UDcVmk7j30i0IyFQ2IVDfEFQOiO6XBE1EFWIDCGLmsixYsc12TJhXOI5OogNYqpYS4pxtblcQJv8r8S2dH2I/bp7J598MieffPKeV+xjPH39Cyzsola4JzRVmYUM7U1e3nnwf+QPyWPriu09MmIy01S2ZI2lIrsEf3Y2bVnFLE9LY/mrZsGIqsjkZbgYkJ9C86LV+MprEY1tiJY26KJfPqJk79T/fg5MGFXEm49fjmEIFEXmnBMn8tDTX7JkVZllvVXrK6iqbaUwz2Qu/ePZr/hp4y503eDzhet58r5f4bCbj5IQgideXsDiFWajkKt+NY1j4rTkFUXmtxd27x2nO5KwKwrhuOTqh9s3RY15pbctWkQUNgxKW62KgaWtzQQjnnVI16ho37smCNeMPYwRGdncutgaB15QWcaCytg1OXvQSK4cdyjJNtNTvGzkBG7/fj4SEm6bjSkFZmw0oGm7NeQA/fKt5xdH1OgRIRHixw5rtaEkgeQMMqw4nWHF1iSfYQiEqrB+ax2VDR1U1XdQ2dDBt6urLHTNdI8jauD7ZbspzjWNfHezxc5ahniUNIUpaNPpGFHIfWV3McUzjenpR1EXis1KdKExxmV1+jTpUNoVK52xEz7lD/jEtYCScHEUsTX6t8kmiTHDJBKLtES3nrGDOL5LglhWQD4Lu/FZhKcuCMqmNky8dnmn4qKdzy3G3G58GZHojX3WlF+oMf+5YRgGz9/xxl4bcjDL8C8bcHX3pfY2FSk7HTk7HSkrHTkrDSkrjc12G5sByTBIa66D2gbC60qhuZVst51rHjifIYeYD9D5Vz6yn7/u/waSJKEosZekvSNRCEoAapwk7k8bd0Wph4FAmJr6NvoXmoNVTX0bi1dsixrkp95YZDHmPWFLS2O0U1AnhqXHqgUPyy0kSTEfWUMIzh1qrYI8bfAIFlbuRJUlhICZxYm0z6CuUeltIz/Zg1O1hhueXruCN3vR+/O9bRuYWljM5IjRLmtvMYuahCCgxeL+n+7omdXU3OrC5YoJVu0Ff4DvmnrfR1aWJbIzk1GMLMYOil1PQwgaWwOmgW/ooLK+g8oGL9+saoneP0WWKMxKpijXTXGuh+IcN0U5HuyRWoaSUQZlGTZKmsKctcbHu2NdlPlXAfB526es962zqlUiLKqKADbjG9ziQQQqXvm+bpoqd2+mhJQNwo4ZkLahxbFaZLoO5DKGlEia8MnXoxqbkKkgzKGEJKsek04JAS5BZjsB6UIMqSSyxGr0BRI6JdZtpXyEkCPlbjbAjl2fS0g+0kJ/7CscVMb8spKrCQf3Ta9Z13R0TQdVQcrJQM7NQM7NRMrJMGPbndn1QBCjvhlj/XZEfTNZ9ZUUNVZQoyXRJsWy3DXAvac+wOUPXsSM87v3NDuh9tH09efAkYcNZt2WxJ6Sf37kIzxuJ3+4dAaD+2ezpbQO3TBQFJmczNh1sdkUS6MLTTfYvKOWYQNzI591nn3rO1Zv3MWEUUX85pypKBHPz69pFn0WGbh6bIz2mepI4q0Tz+aHml30c6cwMtOacJ+YW8DLs0+nRu+gxJFKfrKVvbG2oZar53+MbhgkqSqvHH8mxZ5YHuXtzesSBpPuYCD4y7KF/PdEU9L00x1bCEU6DQV1jS/LtjI5v4iHVn7f024oqygkL6cNJdHp3COaE0SoII2ey+y7QpbM/E12mpPxg+OMvCGobfZRUedlZ207FbVe1m5v5Lu1sRBcdloSh6UdzzmrPmRJpoMjmn28O85FWYZ1gCzXdjI+eQIbfGaf0Mmeqchx+ioIHx5xSzRu7jGup1leYLkgkvACwtRPiUNAOhtVrMHGMjQmEJDidYdiidPYsRx0/dKQcmlR/rfbaVGycReOiBiYXSylRXyEkDxINHXhmBfRLj9q2TZJfEq8DFcSkUY1BjRJS6CPawIOGivz4T8/3XtDriqmx52biZyTgZSbiZSRghRJ/AmvD6O2CX3zTkRdE0Z9M3itPF2zzCY74SEA0EM6r/75LbKLuu9804mjzpu2d+f9f4hZ00fyn9cTvb76pg7qmzr4w73vAGaIKTfLw4kzxuCMS6hlpbtJ9TijTSvsNoU2byzU8Nk361mwdAuhsM7X32+mKC+dOTNMD1uRJGyyHPVs0xxO7N2oNpa2NrO9pYn8ZE+CdnixJxWP4gRfYjb3T99+iRbZt1/TeG7tSu6dYqoubm1uxK/1/vlq8vs45t2XAEix2aNqjCHD4Mk1y1lWU9nT5gAIIXX7XO0rTsw4qU/2I8sS+ZnJ5Gcmc/gIcxAWQtDaEaK81kt5bTvldV5W1EqIwHCON9bwhX8sP30/BDWjBSWjBTWzGTW9FUnVuSD7YipCFSjIFDqssho2sQosOioddIY8AFz6X6MNI/xcjl/5bWxjyY5XeXA3v8Ietxdzzwo7CDPFuprwkyReRxZeAvK5GFJ+l70sjSv80VHYjsZ4gvIpJBkfRM89IJ2L6KIdo1BuaWARb/xTxZm08vFuzn3fcFAY8+BPn7HqjXeJvzVDBwhKCmHu4rjblepGys9Gzs9Czs9Gyk6LGe4OP0ZtI8a2cvP/2ibo2Ldu9vEIeAP89ay/97jOubfue6OK/wuMGVbA2s1VPa6j6QY19e289sEyUj1OpsfJHVx9/nQeeX4+smwa/E4tc4DahrZoiCYU1qltjIUZcl3uqC44QElKmuWYQgiunvcx5e1mQm1e+Q7eOencaBxdMwyumf8x21qa0IXBXZNmcExcqKVDs/L/40W8QoaOXZEJ6L3ToY8fKtq6NLLQDIPNzdY+mF0hA5+efiF/rbytz/pvjE85pI/2lAhJkkhzO0hzOxg7yAxXaFUb8X21g2/S0plWv4FSm8qWxoGEKiL69JJASWnjscKl1LrX4c4KcMmQ0yly9ovbr99SAWqQFlVGlI1ykngvTrflBfziUgvbZLfni9diPEEmJE1PWM9j3ICN1YCGw/iEZvkTSwgkzATsfE+s8KcEAEWU0RlcEUCy+Ceq2EKHcmd02yDH4+ALQIMuzTFM3Zm+xUFhzJWcAVx5ruCZ/8KWUomhAwRXnit4dn46ymH9TOOdl4WUbHppIhTGqGnAWL4eo6YRo64pweP+OeFOT97zSr8g3HP9SZxxzTO9WjcY0njk+fk88rwpN/vSQxdxxPgB/Pve82hq6WBAURY2NeZdHzttBF8v2YIsmbVXMyfH4pw7WptJUhR8kVBHtc/K9gjqOmVtLVHt8Bqfl/ZQMNrA4qf6Gra2xDzsf/30g8WYXzRiPC+s+xEDQZKqcv2EydFlIzKymZRfxPdVFdGQyb5CCEFjoGdH4ZaJU8lIcjHKMYb14T3H6feEwbYhe1W0t7/o1PtxzbqWb4NPU97k4OI1q3h36mZ2uNxoTWlojWnoTWms29aKCA2iDrhb3cjwwnoGF6YypF8qgwom4rJlItGGhIFPimmbmBWf8bD62j3BoAhBWVRz3OSjJc7ybKyO6rYIgihUoxNL7Hrl+3GKV5BFIwH5XIRkOhg2sSjavcg8oyAOPqODmDHvkG8jxFQUYz0uYrLA5rGsM8q+wEFhzNWCETz/nsKV5+osqs1nenEDL3Ucyc5pBdgAo7kNY2cVRnUDRlU9orE1kR/1f4TMwl8ei2VPkCSpR955T7j0T6/y3AMX8s2SzXjcTvrlpXHz/e9RWdvC8EF5HDdtOBeddhiZ6R4G988mM26g65+SauGW94+LZ4PZhSjf7aHaaxZf5LnceOI0yRt8XkuoJKBpfFG2ldn9ByNJEleMmci0gmJaggEm5hZYQjiyJHHW4JG0BYOsq6+he5GE3kHB6rl3hwyX+buPyzye9TX7b8yvKLx6v/exN4ivZUgtTaMso4V3x7ooaNMpywhiL6jFXmCyWBRUQl47WmM6ekMmHe2pfLKkzAxTA/2y72RovyCDC9MZ2G8oWalmUxNNGosQKRDprRliOki9M4IhjsaGqQpqclXCOMRc/NLllvXCjIt65uBAp0tVrZSEX4oU/ug+PFyEQhUGmZahxYybd2lkLcmEmREx3FZjDn0vuHVQGHOA2bddw7fvPsuJk6r4vGYgm1Y1YlRvxqhugEAcA6OP+0buL0ZM6aVuxC8N+3ENb/rru3g7giiKwtNvxOLv67dWs35rbHqZ5FC57pKj2by9lhSPk4yRadgVJUovrPdb6WW7vG00+jswECiYnYbiQyVf7yqzrN8U9HPXkm/4vHQLj88w24GNyOw+v1HlbePmRXN7lQDdE/akGJTncjOlwKyQLEgqwIaN8B632j2OT5mTwBA50IivZTg2/Vjea36XsgxbQgIUoJ+9H+6sDRTml+JQZ3NU2uH4gxo7qtvYtquVbbta+G59iPmrGoElpLntDC5MZWhRGiOK36J/xjKQs9Fkq2oiQmAXn2ITSwlL0y2qiS6e6OLDy+gkStC2y4/gFG8gRWLmCSyTqKpiOy4eiVINZVq6GPL+tMv/6vZaySQ2+NbpOc+2LzhojPkh45PptyXIJ9/AUYfvYEO1xJbSxCmXoioYhoHQfxkWff2iDXte6ReIISU5bO5F44/uEArrEe3yng1jIKjx92fiKvUWq0hjYyJdmU5rbPSn+ho6fSEdwdLqXVwVx3bJTHJaEqidWFpTiWEYSJLEitoqvOEQk/OLLP09l9VU0l2D577Gv2ecyLjsvKg8riRJ3FV8H+83vMOPvn3rVDPYdWArC/cEsYfIx9HudqYmr0ZCIEvP0Spm4nQUM6okg1ElGSA0JKOc8oZktlaG2barla27Wlix2ZRXdjvTGFaczPDiXQwvTqMgKxlJkrCLL3CLB5AI4BDf0C4chKWjAZCI1SAIIMwYQtLxiScnufBLv9ntuScb92HnswjbRlgGiHjP3C9dk5A8BVCMdTh5wXpIzORoX+OgMOad8bln3jIN+OZSYYmhx0MY4hdjyMEU4zoYcc+NJ3HedS/secVu4O9Fw5DuoLdqGCL2SE4rKLYsH56eFTW3DkW1KB4CXDPucMrbW1lRm5i8rff7eH3TGj6KcL+L3Km8OPt0VFlm3s7tPLC897zt/cGheYUJ3yUpSZyfexFnGGfTrDWTbcvmrzvvpU20dbOHRJQ4B+x5pQOIVFtaj8tz1AXYJHNgD4sQdrGEgBS5t8JPqnEpCpWkZ8GAnH8x8xCz1L+hxc+m8hY2l9eyqbyNlRHj7nHZGFaczth+lUwoSqEoM4AkBbAZPxFWjo4ctWugS2Vfppt2vojoxiRuHW95VLGaELMsy5P0J3DxUrf77dpFqS9wUFiazvhcQ8iMP28plXjmvxIlie9FtEnzLwUFQxJH64MBDpuN6y7umT+/J9j3cuYfTCcqnCaANzattTR0GJKeySNHzmZ2/8FcOWYiV489jIW7Snl902rCmkaK3cG/Z55EniuR7VDv7+DD7Zvwaxp+TaPC28rONtN7u3vJ1wnrHwgkyT1fkCQ5iXx7Pqqk8qfi27BHClNkZGYmH/NznOI+YZRrNAMdu5dN2B50EzRMU2MIgSbFmE92sRCZSiT8SPhxGbFQRVaqnRNGPcQfT7ia5668hYevSuGyOcMZPSCT7ZWtvDBvINe9+Ecu+c+d/OPji5i37jCa2hKNpATYWIVDfLjXv00Q47b3NAGRqUj4zsUr0TaEXT16DkACVBLdadn+DNgX1cT2Zi9XDf/9ATqjA4PD5nCN1jsAACAASURBVBzCDS8e2IYdB1IRTwhBVV0Lv7vr7QOy/3iEUqBxnISIuBiKJHH5qEP4zZiJ3a5/+odvUBXHeMlzubHLCkEtSG3A+lJPyimgNuBjZ3srhhDYZYVcVzKqolDamliAcyBw9xFHc8LAofu07du1b7HMt7TbZf8Y8Nget/+5VBOBaMu7TigYnJq6k0GOdrYExzE9I1ZcYxOL8Bj/Dwk/Aokw02lXzOWqWIbHuDGqN64xiFbFfA6FENS3Bthe9jmbd9ayemcJrT5z8CvISuaQ/nOZULKJ0f22k2QPm6qJXIZfMd/F+OthE0tRxAbC0pQEbXTV+I4UcQOd1MnuDHon9dErPUhIngkiRIpxGSqbLHH1+G11cmhRPu/9ReUAqib+X8CT7uah+Xdyz1l/JxzSCXUkluYrdpmsgixqy/Yt3tsXUFQFRZWxJdk4O04K9mCEJEkU5u5dZeG+Qg5bp7K6EHxXVd6tMdcMw2LIwaQq7g4/NdTy5onncMviudR42/FpGhVeM4wxoLaOkvoGyrKzKM09ME15J+f122dDDnBC+om7Nea/dKQrQdYG0lnrT+eSvLssy8JMQ6MElY2A6NLgQe1iPGPmSpIk8lJbGT7mEU4a48cQdrbVz2Z5+eWsL2ti7urD+WTlVFRZY3hhGeNLShk88Fj65QlL0tyhf0AyfwUMEM9gkIpMAwIXLdJ7aPJUWsUb2I0XcPIl3aFTm8Ut/kyTmEGKcSEq2y1cjK6DgLSfcrjd4aAy5gATZozh2U3/RgjBBXm/Tlx+7HhqdyTKjf6c+MvcO3GlOEnNTk3ocHSw4rwTJ/LWp/uWoOst2guwPPUSREWrOqEbBtUdXtY1JKo79oSgobO5qZ5tLU2W0M2A2jqu+Wo+hiwjGwZPzjqmzw36i8edliA9sLfw2LtvLNHvADc82F84JY2781fhlHQ0IQF30078TMKPyta4wqCX8YsrQbKhMYEQh2JnESARkKyifgplEV4TyFKIQTk/kJl/N8cfUYwSfIqyXQtZVTaEn3aO5rVFs2BRFW5nPaMGZDBtfCH9s5NJtz8WJ8EbRqYhci4+UsXFtIgPsYmVKOy5orczTt9pyCFGruvqmUt7JK/uPQ46Y94TCobmc/xvjuUvZyTqCv8c+M3DlzD26NFk9et9F6SDBeeefCijhubz50c/OSD796aBv0sOZHJ+Eb8eHfPKfeEwv/7qA6q87XtNIRTAgysWJzRVLqlvwJBlqtPTyG9uoaS+oU+NuSJJFr2Z/cHlOVfwQt2zlu9OTj+1T/bdlyiU+lEpTDpens0fYbGAXRIYrOiytozVzBmkG3PQGEm7/CA21kY7+SSLJwiKU6MVoBojATUiYqVaEpAe9UvGlVQwrmQL8CWVHbfzU8XhrC9tYt2ORn7YUIskwbD8izl00EYOHbiR/tnVdKpTm/TDejzGzdhYSUwGNxHm3VXpkP7UK5EdAYS6NKfuCxy0xlySpARO+fXPX8urd77Zp8dR7Aru1GRGHzmC7977ocd1Z154VJ8e+5eG0cMKcSUp+AL7VyHZHdo6exLEvQsnDBhsmRLPK9++T4a8E63BxORYWXYWsmGQ39yCbBiUZWd1s+W+QxciYQDZV4xwjcRBEsEIE8KOnYGu3um1/5woSR5Ipdc05m26ih0jqmMlEUQVK9GkzkFaQic/jqonkGnCxmLcxv9DIp7RI5DoQGAacyGl0Cq9SBL/Q2MIISnSMEYIZCridFE0CpP/RuqIu5k86jizt25AZ+GKctZta+S1RSfw2qITyPS0MHHAJg4dtJFxxVtx2MPYWB6t9OzpLjbxFcjd9/PtmvwUJOOV7+/l1ew9DlpjDpDdL5P6CrMjiy3JRnpuGpuWbNnn/Sk2BVmWGHr4EI67bCYDJwzA1+ojtyQHu9PO0ElDePGPr/XV6R+UeOSOs7n6jrf6bH8CqJ9Ad5XWfFq6leP6xzjUDkVF76Z7fW8xITufNY21Fh56aW4OT8465oDGzJv9+68BBKYDc3f/+5jXMhcBzEo77mct4e8tjkk/lu+83yIh+FPOGhQp3mEVqGJt1JjbxVfI1CfU+pkMlCWR5hTvATIhpiCIDbayKCNVXAZo2HETlo5AkAmSRJhp2Pg+GkKRCGITKwlxHLIkMbQ4nXSnymnT8vC3v8vqHQprtjewaNN45q6ZhE0JM7poB4cMambykG/I8jTR45VWdt+YvStCTOp1Jeve4KA25re8dSPP3PAifm+AC+8+l+RUFza7Sngfec7n3X4WKVkeJp92OKrNvDSZBbFy/Nwe1BFn7CeN72BBblYqRflpVFS37HnlXqCtCDQP3U5PuxrBmUUDuHvpN/t8rJX1ZvWpKsnRzkBgGvQDlfgEop3p+wI22cYJGSf22f4OBFLUFM5Lv4BPW18kUw11ubWCsHRY3GerGbfGlcPYWYRARkI3wyhxO3MaL0e7BAlCOMRHBKTLAAhI56CK5cQUGR2E5EShLSQXzpSLmTQe5oyZiKYrbNg1gBXbR7Bixwienz+M5+dPYkheOUcMWc8Rg9dRlFmX8LjKogJDKtqtjIilwKizL2gf46A25gWD87n749ss3x12wiEs/O93+7Q/RZGYfvaU3S4fPmkYsiJ3y2X/zUOX7NMxD0acdMwYnnytb4pswqm7X7alpZEdrc0MTE0npOu8sXF1n0g1aPvh3e8LJuf9spOUBwKHph3GyORiZGJl/yJi0RzGJyg8jV+6jJA0C4f4CBs/0p2ijUQTciSs5OQFQsSaR5gccAVTV0VBENH5EQae/9/enYdHVd4LHP+ec2Ymk5WQkETWQBJkX8JSQS0YhQiEACIKLlDE7VGL1rZUey1X770sSmktKr32trbUVqtoRcUiglSlBVxAFgXEIBCUnQAhy2S2894/JplkMmeSSTLJZIb38zx5YM6cOfPmcPjNO+95399P/My7MEegUqYsw6kETkWtuD1ZLs2amyGZBxmSeZB5167lm5Ip7DpYySdFfb3DMV06nmZU772M6v0lvTt/i6IIkvWZ2JRbsQnj1aR1Y79GMbrPrJ3QiOhgbuTTFsy4OHn4TIPPW2It/HrbUl5c+DKfv7fbu/2WhTe1y6+7rWX8Vf3YvqeYz/Z4xjmnjR/Mmxv3NOtYSiUQIBeZAJZ99i+eHzeFwjV/4YLToEpUBHC1k6RvbS1OS/H58FUUz0MrnrniZrGFC7xGmfY7EDZSdP9gWzPrQ6Ch18utYlPvwqR/iYn9OPkedmVa9TNufG9YqrgU//qfAJo4RLz+FBgs+gHITn2b7FSYccX7lJQl8enBAXx8cABvbR/DG5/m0TH+It/L2cuo3nsZ2OMlVK3x+2aKQbHuUIi6YG62mrGVN32prKoq5OYb/4PXlZ6Zxk9ffAiHzcHeLV+RnN6BXoMzm9PUiKUoCv9x/0SfbTcXDOOZP3/AxzuLDV+TnBDDlSOyyb+6Hz9a9PfaJ3RoaG2dQ9cRQkRsIAdIsIS2okzEUFTDb1J1F9LEi4coY23AMeRK5V6s4hXcdKNc/YXPc0JJ4qJmkHJCMeNkJGY8ExacDPGrUuQ5gCBJvxeF89VDNcbtrJGaeJGJuduYmLuN8iorOw715eODA/lo3zDe2z2a+BgbI3J28P0+fRnaswizZjxRwFUnxW4oRV0wV9WGMxQkZ3TggZX3sGTmck8OFwWSUhOZ+lABQ/IGNvjauiyxFnLHDW58x0tErDWGR+6dwL6i4zz2K/8KKosXTKNLRjL1FxzHHwN7A5+FD+eOblIFoPboUvrW5sMgk2P9M2HmOFb374hhg+EhqtQ5VDGnae8rqjCzw/teZnai6btxq/U7ay5vIG/S4YEEaxVj++9iTP9dOFwmdhUP419fz+KzIvho753Ex1RyRc4+ruqzmyE9i6jc2xFLJxvWLhXoqufmr+v4ftynD/tkoGyJqAvmDnvDNz8n3pvPgO/340+HnqeytIIv/72f7/Yfo88VzV+dJ9Xq37sLZpPqLQgMYLVodMnwJGOqqTLkfa6Re9WfnTqGs5Hsi6FwXbde7D9/lpMVZU2+XTmv/1DKnHZeK9rfKm2LZG7SMdHwauw4/i9g5mpFnMcsPsNNd9xqvyDftWaZTg2dDuJ+ysRynEptQRIUMw6uxcJWBLYGZ6sYlcXwTnw03c6gnDguz1Z5MP+/2FPcmy1fDeHjgwP4594RxMdUUtD9M0bvOkLatcWQqXqTB1rH3U+oaE888cQTITtaE9hsjmbVj4iPj6GyMvBXbnOMiT0ffBnw+Y4ZyYycNAzNpPH+nz/gpcdfZd+Wr9jy+jZGTMwlqVPwU4zai8bOSVuLi7Xw+d7aMcjFP53mLUJhq7KzZsNun/0fmzme948dMjzWqcpydp46ztlGKve0VIXTwVtTb+Orc6c5WhZctsIai668lg4xsaw7UmT4/N0Bcsu0pXBdIzqdsbAxYKCsm4TKaB+r+DsxvIuVN1DFMZxqns/zqjiFxj7PzVClplCJwCpepG4+FQUXQoBT9dR8jY+PobK8DBc90TiMxvGAeVSM2iaIx00Wgo7E8C/MfI6VdWiqoGvHs4zqvZepIzZzeedihND44Egu+yu6kfVtGaUXLmLavcZb3CNYiqIQFxd4yC7qeuYT78lnx/qdHPikCLfLv4/V8bLaPCPb1+/EbqspGQUHPimiWx+DVIxSkxTkDSKzayoHDp1i5OBMetSZ3pkYH0t2j1S+Oeq5CZST2Ym8rCw+yfJM11qweT2bj9Xmek4wWyht5UAOkFBdsSjJYvV7zqyoOAPMgBnRqQud4hL49FToazpGA6d6HW53RzTONxogjShUePeLYR2V4kGE4plrbhK7SdLvrx7tNlGqvIauZqBQioK73mIdKy6lv/exXrmOFPGjOu/TtHad1zZX37QdU+cmbb20uJqbkdlfMTL7K5wujV3FvTm5M4PsQxsxD5vSpEAejIhIgdtUP141nzGzrqb/VX1JTq8z902BvNtq55oOGtMfS2ztJ132sCyk0Bh4eRdunJDrE8hrPPXodH7xw4n85/xJPPXIdJ/nZvYZjLnOfY+ztkrSrI0X8AWwKv6X85IrryPFEkOqNZbCXoGH0gqz+gCe5ff1BQrkAEvGjAOgW7xxNru2rf/TPjkJXaFps9iOSXwBQmDVV6FQhYodhQriRXUSL1EzXbH6IQqVyh24vhmGecN6tINFcNETyOunp20aKzpdEajGQ0R1221yMzD2W3Ls57EMm4Jz3we4jod2WC7qeuYAcUlx/GDxbTw27gnvzJbElATu/OUPyOhZuzjkhp9MISElkSNfFHP1jNH0HNgjwBGlUNJUleEBzrVJUXxWaNrcTvacb3jKKMAnt3h69m8U7ePpz7diUTV+OeZ6hmV04brM2iXvAnjnsO8q4azEZG7pMwjAm+M8WDXFpBNj/Hv0AEM7ZTTpeNHIxTBgU6P7+Sejqt3u+dNEgngMBDjIhTp1OBXAxN7q1/kPkzkPjSV2xXLQNHC7Yb4DJcd4yCLostGKgk6KQeFpf7bj8Zz5oAcJeWOg+3S0Lv28Y+ah6qFHZTAHKPrsICUnzmOv9Mw3LTtfztvPrmNY/hBMFs+vraoq19/ZfpP+S1DhbNpq3um9+3PvlVcEzN29cNQ1jOuRxWNbNlHhcnJZXAK/uXaSd8aJTQ8+70z/lNoVwb06dGT0Zd3YdtK33uONlwc/QypauZQxIH7ZsmMQj6nOkIuFnVzgBSz8E9ARKLjxpH5QRP1hOQX10Degaehdu6Ee+w4OO6BOMA82gHvqfVbfVxM6Jnb7fejUP6YA7Gdj6ZhnxtFtLuApUm8ddz/u04dDFsxbPMyyYsUKnn322VC0JaSSL0tGd9X5jyngeNEJ9m87EL5GSY2qasY0xDl9mjZFdHSXHvz3lddh1UyUOezMXv8GZ22VAEzL8i1OEGcyMTy9MxZVZWR6Z67u0gOTopCd1JHfXOM71/43eZO4e2DtkELvDink9ZBDd7rapfGdaDiYalT4bTPxBWXqCpwMxME1lKnV2VKVyvotIC7zeRS3zRPI3W7o5dsrD/TeRsMnDqpT8SoqggS/uTP1j6kASYMrcXT/k086AlOXfiGblggt6JmXlZWxdOlS/vGPf3DXXYELooZL196dueOp2byw4EVcDk+A0HWdxJTAlTqk8DM1o2bqvUO/1+TXvPzVHm/2xRihs/nYEabn9OfGywfwZclpNhR/Q6LFwoprJrFw6yZcus6xinL+mD+NjtbASZLuGjSC2/sNpcLpIMUae+nOMa8nUJGGYBlX+LGik0aVchtOZZj3xqggtc4+1QWUc07gnp+NvXg8euZlxOTUT8Vr3F4jVdxYp13ljfbMPfvV/4AJvWb3zDdt2kTPnj254447QtmekLpw6oKnKruqEJtg5YYfT6HnoEtrtWakybDGN2n/NGuct9J9U/RI7OC90aqi0CW+doXg46Pz2DLrLtZPn8PG4m88peaA4xVlPLur4TTIAFaTidTYOBnI6yjFNzV1Q8Ey0ErM+mczhg/ooM8lXvwPyfpNqMJTlEZVzlHTT619jRuRY8WZPwElp7TR9joZhJs0BGZvz1ugUM4ihNZ4DPH//Vp/rkmze+bTpnnyILTHIRaA08VneOPXa9GrpydaE6xMfTB0X2mk1qE1UvRYxTcd009HBE6e1JAHc0dR5rTz9fkSCrP6MKqzcTKsry/45tHYc6ZpFY4kD127nHL3IhJ4As8Yt+dfMdiPO6P9PBWKqqrHpWMwi83YlZsQQqVmNkvtzdNEqlRPZTIr/xvwfWr2L9NWAaCK48Tqf0AQg029B6EEV0Kxbq/cc8zWT+7WaDB/9913Wbp0qc+2rKwsVq1a1aI3bqgwaWPS0oxLaNVVebYUVa3zuex0BfW6SBUtv1unTg1fF6tnzGLe2jWUOxxc1yuL6UMHoBn0zBs7H0II8nKyEYcVMjom0qlTgmFPulOC77RIq8Ucsec6/O2+ufoHhOsg4uztwDm/vYKbfw6aooIw4VmW7yIhqSuJFgfCUQ6lNdsBUlHTN5GixqG7y+GM8eIu73vHP05aYs256gN4bt4afWfUT9auXa3bbpUOQKnP9tY+/40G84kTJzJx4sTGdmuykpJydL3pS0CDrTIem5rEyILhfPL2Z4DC7EW3tll18rbWlpXXwyk9No7u5iTeu2EOVS4XcWYz50r8b4wFcz42FB9k8SebqXK72HK0GHeVm0kG89A7W30/XDITOkTkuW5/10gGaBtJcQ83XCavE49aPXvFaLxdAIizdbboUPqgT7qs2teW4Dx9K2XqCmL1RVgJNAYPdoZRUTUFqoI7VykIv5WjnuMMJ4Z/1qkBGkdJC8+/qioNdoKjctEQeJa+3v/c3Tz9yVP89ounuWp66GvuSW1rYHVRZFVRiDO3rFD23rOnvTdAq9wuvjhrXAR8anY/UmJiiTebiTebuXNg6BbASFDFTYbj51XM9v490MIexeenZlTbf666Zw76AeL0FcTwkc8xRJ0fG+Op0HxrrDaH5z2dlPMIOvG46Uyp+lKLj9uYqJ1nXiOlc3BjXFL71yHAwpzmyE3vzKtff4nA8+EwpmtPw/3S4+L5e+Esii9eoGtiEkmWGMP9pOap1B7F6n7N+1gA5TyMxuEGX+fXS2+EghuVc4YfDDZmYlcK0YNO5FVLpwMavjdUBaBSgkO7GUf1sFJbaHEwnz9/fija0So2/eVDXn/qTRJTE3noD/fTtXfncDdJCkIHk5lSl/9ioVMV5SF7j38fP+r9CmxSVM41kP8lzmymX2rgkoFSyzgZiBlPcjxBPA71ZjroE4J+fc2/Y6D8KjVFlFV2Gr7epv2sqU0O2I7aP9s+qVnUDrOcPHyKv/zib5Seuch3B47xzF2/DXeTpCA9m2dc49LcjCmIgZQ7HLVjsQpUutpP1slLTZn6PJXKfGzcQan6OigWdEKb8M7JcLR6aW4FUMHcFh3XKHWA58MjuUXHbY6oDebl58pRaxagCLhY0p5u/kgN6dPJuLjy7H5DQ/Yedw0aTrzZQqxmIi02ngk9e4fs2FITKbFUqXOxaT9EVzz/9mX8oWmHCLC9psduYbPh83atZSMLAovhMI8guORwoRS1Y+a9hvSkx4DuHN37LbpbZ8bPpjX+Iqldy+mY2vhOwR4rOYW1U2/jjK2CrglJzVp4JLUiLaYmHbmPQDlUGsutYlT8QjT4iuDodELlmN92N22fxiFqg7lm0li45hEO7z5CQkoCl/WS2esiSff4RL6t8P02FdvCGSz1xZnNZJrb/uuwFBwb04nljaDnnQci0DD6ZDgfRCbHxri5HJNBMA92cVEoRXV3RDNp5AzPloE8Av2t4GYSNU9fQwPennpLyN+jzGFn5+njzUruJbU+m/YYLjo3sUJnrdr56QEyYWodjLc3gYOxhtsV0fbDulHbM5cim1nTeP/mea12/M9PH+f+Te8g8BSkeHniDHp2kNNY25ty9QWS9UkBxqWblg7A9xiBk6U1hR7gRqeKcRnE1hTVPXNJCuSpT//t/c/tFoJf7dga1vZIxnQlgwvqm1QxC5tyD+Xc57PQp/Feu+rdzzfwV4WkfW6uMNwub4BKUhuJ0XwTellN8r9Ce6Ur3anUFngfnxN3UhPGU/SRhq8RgJOhmNmPgr31GqdZDG/UOvm+/8ZWJnvm0iVpydXjvQE9wWzhsSvGhLlFUtAUBRTV81OPpxJQRyqV+6hiLnUX74i6f2rDW7WJOp1a9fhGZHdEuiR1S0xi8813hrsZUgu5SUCrUyACwE4BVepdWNxvUncgxmeYxZLbqos0hRK6abTBkj1zSZIilo0HDbZ6VmWa2Bf4ha49rdOgakK0fQ4fGcwlSYpYDuUGv20WPvU8RwOFS0I4D9zoRqwIw6CHDOaSJEUug5W7KucBcCkDfbb7BNz4e0PWBBvX+L+HlhKy4wdLBnNJkqKKi2wAlHrhrbaIhAlF8c/K2VxV2q9wku0N5KWsDNmxm0LeAJUkKaK56YHGUe/jcmUZ4D/UUTPXXEFHqKFNaVymrQ7p8ZpD9swlSYpoperLVDENJyMpVf6IUKvrFii+VTt9850Hzl8fqWTPXJKkyKbEUqktNNgeaLG/jhDRl79e9swlSYpaAZf7i+am72q/ZDCXJCmKBeqdR1/oi77fSJIkqZogzrh3rmW3dVNanQzmkiRFLTfGtQxUzdLGLWl9MphLkhS1FEI3n7y9k8FckqSoVcaCxneKEjKYS5IUtYR2Vbib0GZkMJckSYoCMphLknTJ8Mxsic6wF52/lSRJUrVKbvdJU1vGf4azOa2m2cv5d+zYwZIlS3C5XCQnJ7NkyRK6du0ayrZJkiS1WJX2MG73cMxsw84k3NqgcDepVTS7Z75gwQIWL17MW2+9RWFhIYsWLQpluyRJkkLGqY2hUnskagM5NDOYOxwOHnroIfr27QtAnz59OHHiREgbJkmSJAWvWcHcYrEwdepUAHRd57nnnmPcuHEhbZgkSZIUPEWIhtOHvfvuuyxdutRnW1ZWFqtWrcLhcPDoo49SWlrK888/j9lsbtXGSpIkScYaDeaBVFRUcN9995GcnMzy5cuxWJqW66CkpBxdb/pbp6UlcuZMWZNfF83kOfElz4c/eU58ReL5UFWF1NSEwM8398ALFiwgMzOTFStWNDmQS5IkSaHVrKmJ+/btY9OmTeTk5DBt2jQA0tPT+f3vfx/0MVQ1UJ7h1n1ttJLnxJc8H/7kOfEVaeejsfY2e5hFkiRJaj/kClBJkqQoIIO5JElSFJDBXJIkKQrIYC5JkhQFZDCXJEmKAjKYS5IkRQEZzCVJkqKADOaSJElRQAZzSZKkKBBRwXzt2rVMmjSJ8ePH89JLL4W7OWE3Z84cCgoKmDp1KlOnTmX37t3hblJYlJeXM3nyZL777jsAtm7dSmFhIfn5+Tz99NNhbl141D8nP//5z8nPz/deKxs3bgxzC9vWc889R0FBAQUFBSxbtgyIwutERIiTJ0+KvLw8cf78eVFRUSEKCwtFUVFRuJsVNrqui6uuuko4nc5wNyWsdu3aJSZPniwGDBggvv32W2Gz2cTYsWPF0aNHhdPpFPPmzRMffvhhuJvZpuqfEyGEmDx5sjh16lSYWxYeW7ZsETNnzhR2u104HA4xZ84csXbt2qi7TiKmZ75161ZGjRpFcnIycXFxXH/99axfvz7czQqbQ4cOoSgKd999N1OmTOGvf/1ruJsUFqtXr+bxxx8nPT0dgD179pCZmUn37t0xmUwUFhZectdJ/XNSWVnJ8ePHWbhwIYWFhTzzzDPouh7mVradtLQ0Hn30USwWC2azmezsbI4cORJ110nEBPPTp0+TlpbmfZyens6pU6fC2KLwunjxIqNHj2blypWsWrWKV155hS1btoS7WW1u8eLFjBgxwvtYXif+56SkpIRRo0axZMkSVq9ezfbt23n99dfD2MK21bt3b4YOHQrAkSNHWLduHYqiRN11EjHBXBgkd1SUyEphGUq5ubksW7aMuLg4UlJSmDFjBh999FG4mxV28jrx1717d1auXElqaiqxsbHMnj37krxWioqKmDdvHo888gg9evTwez7Sr5OICeYZGRmcPXvW+/j06dPer5GXou3bt7Nt2zbvYyEEJlOz0tNHFXmd+Dtw4ADvvfee9/GleK3s2LGDuXPn8pOf/IQbbrghKq+TiAnmV155Jdu2bePcuXPYbDY2bNjAmDFjwt2ssCkrK2PZsmXY7XbKy8tZs2YN48ePD3ezwm7IkCEcPnyY4uJi3G4377zzziV9nYAneC9ZsoTS0lKcTievvvrqJXWtnDhxggceeIDly5dTUFAAROd1EjEfzxkZGTz88MPMmTMHp9PJjBkzGDx4cLibFTZ5eXns3r2badOmoes6t956K7m5ueFuVtjFxMTw5JNPMn/+fOx2O2PHjmXChAnhblZY9e3bl3vuuYdbbrkFHywxrgAAAGdJREFUl8tFfn4+kydPDnez2swLL7yA3W7nySef9G6bNWtW1F0nstKQJElSFIiYYRZJkiQpMBnMJUmSooAM5pIkSVFABnNJkqQoIIO5JElSFJDBXJIkKQrIYC5JkhQFZDCXJEmKAv8PE8xZFWLaci0AAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array([time,ecg]).T\n", "print(peaks)\n", "xx = time.reshape(-1)[peaks]\n", "yy = y_hat.reshape(-1)[peaks]\n", "c = np.array([xx,yy]).T\n", "print(c)\n", "kmeans = KMeans(n_clusters=len(peaks), init=c)\n", "kmeans.fit(X)\n", "y_kmeans = kmeans.predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=10, cmap='viridis')\n", "centers = kmeans.cluster_centers_\n", "plt.scatter(centers[:, 0], centers[:, 1], c='red', s=10, alpha=0.5);\n", "plt.plot(time.reshape(-1),y_hat.reshape(-1))\n", "plt.plot(time.reshape(-1)[peaks], y_hat.reshape(-1)[peaks], \"x\")" ] }, { "cell_type": "code", "execution_count": 100, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 283 }, "colab_type": "code", "id": "o8J4jJ69x8XP", "outputId": "9dae002b-436a-4a4f-904b-52d563e54f98" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 100, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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t9Z4Fgxd/z39OTNRXRgq6G4wFA1dz6pdTj5CRrkSrAc35dlPvyX+F4rgfWi2Zsir0eSTcq3gUWv+rh6/HvVMPoVFpcHLjeSy7swC2jnrd98zeSxAVHAsA+Pu3XSjfoBLc/dz4dlPuyX/pP1QSnxmapuDkZGzv4NsL2nFMTAxGjhyJxYsX51uQFxVxYfEICwj/bLxZwp9H8LnHdVodooNj+DaGYbB7zn5MbjUdu2bvIzxWAm+9glbN6cxVCjUenX9StAMX+CC5c//kJ9GVKTy79oL777BcmuPIQLJ+Z2ZqJv+ZFlHEdl5Y5TGPk2tKbs5/gY8Q5n///TdUKhXmz5+Pbt26oVu3bti1a1dhju2jOL3xPH5t8Ttmdp2Phd8s/ywEetuBLSGRSSCWiSGWiPBFh1p826WdV3F643m8fRGBM5su4MKOK3xbpYYVeMOW1FKKWm1MDyiKeBmJJd+txOoR65Eck1J4X0aAwFBZKbGQGEX0fiz+TasQaW7LVSbD8vtN/RoSmQQyKxl8a/vAt5bPe/vr5m78HzoQ+bhwBitQLBRYzTJt2jRMmzbtwwcWE/sXHYY6exYcdPsVooKi4VGlXPEOiqLAsiwoijNyGuYlj3oVzXvcqBVqRL3SewZVblARE7aPxv1TD1GxXgU07kkaOlmWRVZ6FixtLQldulqhxsxu85GVngWaphEW8BaLr8/5xF/yv0nlBhURcOU5AMDW0QauPoWbV56mabAARGIanlXLwcaBzM/fvG8T+DetAnmqHB6Vy+WZz9yQPuXqYFcMWZVqX9RDDPQRjOglFbONADW09jMMC6tCtv4XhJNrT0Or1kKj0kKj1uLhGf1MqGnvxpBZSWFhLYPMSopmvckI0Oot/DFo/rdo0qshIbAzkuUYXGUshlUZi/GNyHD+tIR0fmnO6BjEhMZ+Mte5/zIsy+LFjUB+OzkmBWkJhZdWQavR4ubhO9BpdNBpGYQ+eoP0RFLfq1FpcPfEA9w9/gApsakf7NPFwlj3msoq8zhSoKRgtsJ83JZRcPMpDVsnWwyaP4AIsCgu3Pzc+PwrLMvAxVPvfujm64pKDSpAailDm+9awq+2fpnMMAxOrjuD5T+s4QKEDDi14SyiX8dBp9Uh4W0iTq4/y7fZOtpAZ2CYs3WwEbxgPhFEzU0WePs84t0H5xORWAQbB73wFUtERn7nq4atx+45+3FkxQlMaTeTTMwl8J/AbIW5dzVPLL09H+tfrEDLPHI/FwdVm1TiZ8aMjiW8EXZO34MXN4KQnpiOC9uv4OllfW3G42tOY+/8Q7h7/AFWj1iPwNuv+DadVgdGy2T3ySAySK+eSYxKgsTAvz4rQ/HJvtt/GYqi4OjuwG+LpWJY2hZeZSuKojBl3wSU/8IX3tU9MXnPBD4mIYccAymjY6BVaRATGlega+k+A9uSQMEwW2H+OXLvxEN+BscyDB6ff8q3xb2O4z1WWJZFYoQ+iOPlzSBen85odQh9rM/H4lGlHFE2LiZE7yHjXM4ZEpkUFE1BLBWj/Gfga2+ujFw3FFJL7l436tEAFer6FWr/Xv6emHVqGuaen4GK9cobtVes6wexVAxQACWi4ert8sE+q1u7Ge1b8/pqoYxXoOgRhHkRUr6uH6RWXGSqRCqBV3Uvvq3zyC8htZTC0tYCMisZ6hh4ujTsVg+ybEFBi0Wo3kwfjOLu6wapBdcnLaLh4ql/iC2sZZh1aioadKmLZn2aYOLOsSaP9eWtIPz+1WzM77cU8eFCjcgPcWXXdQCci6JSrixyddbPm0eiVf9mqN+5DmaemAoruw/biEb4NDXatzfmUR5HCpQEPu8YdzOj47D20Gl0eHkrCI261Udtg5zltdvVxLwLMxAdEotK9csTOtIW/ZrCztkO4QHhqNW2Bjz99cEofrV9MGh2P+xddBSlvVwwbMVg4ppHVp7Ew7NPAJaFjb0V/vf7h2s9ZqZlYeH/lkGlUIOiKSzsv1zwgnkPWrUWV/fcAJsdBPfw7GNkJMsJNdqn5tyWS7i86zpomgKjZTBuy6gPvlCq2+ft3XUnOQwNHL0/wSgFPiUfHc5fUD51BOh/iXfdE3mKHCOqj+Oz7dEiGlvD130wGdPblxH4rdUMXr9Pi2jsjN5U+AP/RBT1f4RlWQytNBqZaVkAAJm1DBterjTSa39KvvcezqvipBYSzL88C24+rnz7u+5J02vL8uzverNxn2agnwklUY58sgjQz50HZx5jVK0JGFtvEoLuBn/4hCJArVBj65R/MKv7fNw+eu+TX08sEfPGUYATyiKDogX3Tj7AyJrjMa7Brwi+H8rv16q0gMGkzlAnL2AMRVH4be8EePp7oGylMvj133GFLsgz07JwePlxHF5+nH9pGCIzSCyn0zGwMtEA29G5Sp77U9XvjyAV+PwwSzWLMlOJlUPX8qHziweswIagVcXulrf99124tvcmNCoNXj8OQ2kvF/jW9P5k14sNi4dIIuINq2KJmL8HWelZWD18A19EevF3K7D+xUoAgIO7A8QSEZd2lwLc/VzzvoAAj28tH8y/OPO9x2SmZUEiFRMZPXNIjknBwSVHwegY9JrYDU5l9a60LMtiZtd5iH3N5V65eegOFlyeRfyftRp9pSCWYSE28WXyvXdDnEx8abT/5ycHsLXedyb1IfB5YJbCXJWp4vWXAKCQK7MjL4tXmL95EsYLT4qmEPUq+pMKcxt7a+I727uW4j8r5EroDEqFyZMz+Xvk4GqPsZt+wu7Z+2HrZIthy0k9/KdEp9Vh3/xDeH4jEPU710Hnn74s9t/NFNKTMnBm03lQNIUvh7QlbB4AsPyHv3D3+H1QNIVB8wcQRURYlsXMLvOQFJ0MgMXTy8+x8sFCvtqUMlOJ6JAYfpUVHRIDhVzJz75ZloVSriL6Uxq0vw8rUd71QEOUQkrckoZZqllKlS6F+p3rQGbF5TXv9FOHz6JSeasBzbkxWUggEtGo1izvJW5uWJbFnrkHMPqLiVg2aDUUctP8xZ3LOeGHRd/B3tUe5SqVxfgto/g2CxsLsIYuxRSIF2BWugJqpYaf1RcVJ9efxYn1ZxD68DX2LTiEO8fuF+n1CwInjOfi6KqTOLLiBGZ2nU9E2r4JeIu7x7nvwTIstk7eSZyvylIjKToZjI4Bo2ORFp8GRYY+6MfC2gLOZZ1AiShQIgpOZRxhaaMvTqHT6IjrsQxLxBe8j1KSvAX+5//6FMiNWc7MAWDkX0MR/uwtxBKxUVKi4qLtwFZw93ND7Os41GpTAw5uDh8+CcDlXddwdOVJsCyL5JgU7PpzPwYv+FbfvucGbp18hNrtahIujQCXs6N53yZGfdI0BZFYxC/PDXXpcWHxWD/2b+i0DOLDEzD/f0ux9Oa8gnzlfHPjwG3o1JzBVqvS4s6xe2jYtV6RXLugZKUrEB+eyEfbxoTGQpWlhoU1l3snM0VOHJ/b8G9hLUO5ymX5TIjufm5EhCdFUfjftK+xesR6sCzg6lOaXGnmIXnzUuXkxbtWPQ6S4k9/IZA/in+6+hGkJ2fgwvbLCHloXPKKoih4V/d6pyBPT0zH0VUncXbzBV71URT4N62CNt+1JHSiAKBWarDjj92Y2XWe0Wz03OaL/MyLZViEPNAbK28euo3FP6zFxR1XsGrYOjy5GGDSOCxtLDFgVl+IxCKIpWIMWz6YT84U+yYOOgPDaezrgkUTFoTUODKvSHx4YpFdu6BY2VnC2cMJIjENkUQEN5/SkFnphWnVJpVh52zHb1fLVbSCYRhkpmaCZViwLAuG0RkJ2b0LDkGnZcDoGITcD0XQbb1RX6PSgBLpj6doClQ+5tYtnLIDnHQsRHFqUEoGLtKic6sUKBxK7Mw8OSYFY+tO4mdDX0/qhp4Tupl0rkalwdR2s5CakAZaROPxhQBM+ufnTzncD7Ll1+24svsGACDoTjAm7hiDL9pzs2xZrnqP1QyChp5efs6nW1Ur1HhxI5AoePE+2g9ugzbftQRFUUSWvTJ+7txsL3sCSdN0kdkcfGt54/F5/Qspr2jHzw2KojDz+BScWHcGFEWh4/AOxL2iRTRW3FuAO8fuw9LWAnW+rE2cL0+WIy0hnXths0BMSBw0Kg3hESOR6h9VluVSBuRgaWMJd183Pj++T3Uvk2fmADC7ShdMf3wUL4adgThGBYgoiBbZAl/k+1YIFCMldmZ+/K9TRBKpY6tOmXxuQkQi5KmZ0Gl00Cg1eHb1xacYYr54cukZsW2YMOub33tDZiWFRCaBs4czuo/vwrfVbluDnwVKLaVGs74PIRKLjNKlung6o3mfJhBLxRBLxeg7pVeRGSGHLB4ICxtOPeFYxgH9Z/Qpkut+LGqlBs+uvsTlf67h0k7jkHiW5ewUto62RvYbG0cbWBqoVUq52Bm5Ng5b8QPsnGxB0xSa92uC8nX0qRkykuWIfaNfPYU9e0sm/voAFEXB7wkFcYwKtJoFrWAg3hZu8vkCnwcldmbuVNaJ2M49e33vuWUcIZaKoVaqQYtoePkbl/e6cfA2gm6/Qstvmn0w0X9+SI1PQ2RgFDz9PWDnZMvvL1/HD/dP6vNLuxsEfFSo64dVj5YgOToFZcq7EbOyBl3qwdHZFlcP3UPtdtVRvYW/0TXlqZmQWkiNquFEBcfg6MoTsLKzRK9fusPGXp8je9iKwej2c2dIpGI4l3PK3eUnY+/8Q5xLJIDM1Cw8PPsE9TvVKbLrF5R1Y/5GWEA4WIbFoWXH4N+sCp8LR6PSYFqHWUiOTgbLAp1GdMDXk7oT5yvS9UZteYoc8tRM4vfwqeGFdS9WgGEYY2M+yxLxBCzL5js2wEvqAFqt1+WXUhZdwJNA4VBiZ+Ydh7XnZydSSyl+yUfeEZmVDLNOTkXzPk3QblAr/LqLjHbbPXs/1ozYgPPbLmNahz/x6l7hBB2FP3+L8Q0nY9ngNRjfcDLiwuL5tpFrfoRnVQ9QFAWPKuXQd9rXxLk29tbwrFqOEOQAp289v/MqLv97FauGrsfLm0F8G8uyWDtqE0ZU+xlDK48mMjEqM5WY0WkOru+7hfPbLmNR/+VEvxRFwd3XtUgFOQCkxqXxEasswxD52T9nUuPTeG8gmqaRkaSPLgwLeIvkmBQoM1VQZalwdsvFD/aX10oo5nUckYAth6wMBUQGVYgKohITS8SEIVWjVOfrfIHip8TOzCmKwqyTBa905O7nZpTHJIeLO68Q2yfXnUPFehVM6lchV2DdmM14/fgNmvRqSKgozm6+CGUmp9+maApXd99A78k9AHAvmPmX3h90khev7obg3unHXOECjQ5/T9rO51F58zQcd0/c59s2TdiGlQ8WAQASI5Og03IubTqNDmEBb4l+k6KScevIXTi62aNh9/pF5trZfVxnBN0JBk1TsLC1RP3OdYvkuh+LYxkHXmcttZTAv2kVoi1H7UHRgKsXmdGQpmn8uPR7bBy/FSzDovfknkRxFQDY8usOXN59HWCBLqO+Imb2VnZWxMzc0ib/6XcpmuJtJADnLilQsiixwvxjCXn4Gjun74bUQopBC76Fu69ereHs4QR5ij6c2dPf9HJze+YewKNzT6BVa3Fm0wX41vLh1QS2jragaAosw0IkouHgbv/R34MW0UQBSkP9Ny2ioTPQnRrqUV29S8O6lDU0ai3n826gnslIlmNy6+lQZiohlojw+kkYBszs99FjNYXKDSpi2Z35iA6JgW9NH96973MmPSkDgbf0OeYzkuXECsqpjCNqt62BO8fvAyyFul/VNurD3dcVPjW8ILGQoG5H0vIoT5Hj4j9X+RXL4eXH0WN8F96dNCU2FbSY5tsL4p0ltZRALBFBm91H7hWgwOdPiVWzAJxwig9PyHfxXLVCjT97LMCruyF4dvUF/uw+n2j/bc8EuPm6QiwVo1bbGugxrss7ejImPjyRD7TRaXVIjk7m22JCYvjZD8Ow8K3tbVKfLMvi9pG7OLT0GCKDyKrsFer6oVW/JqBoClZ2Vhi6bBDf5lGlLOGippAr+MLWEpkEs8/+gT6Te2LArH74edNP/HGvn4SB0THQaXRQZamLNHAnMy0L8/oswZyei/D7l7OQnvT5J0OSWkhgqNWQWckInXV6UgYenH4EsNxveWDxUSLIR5Wlwtw+S5wOZisAACAASURBVBB8PxQvbwRhXu/FRP9iqYRYGUlkEtJoTYEX5ABQEFu1m68b0ttZI2lPeSRv8obI1/rDJwl8VpTY168yU4U/Os5G7Os4iCQiTD/6G7yrefLtrx+/wZKBqyBPzUSPcV3Q/efOfFtkUCSftwXg9LSGekZbR1ssvVWwIJmK9cvzRSe0Gi0qN6rEt0WH6GtwSi2lSHybBN8aHzauHl11CoeXHoVapcHRVScx/9JMuHpzBYMpisL4jSPwvxn9IJKICF2pRqkhPH5UCjVUWSp+GV7KxQ5dRn1ldL1yFcuA0XHnSWRFW9Ri95z9iHgZCQCIehWDIytO4NtZRbMqKCgW1hYYvmoINk/aAbFEhJ/W/Ej8DiKxiJCwub2H5CmZ/O/EsiySopOJ/6OFtQw/rRmCv3/ZDlokwsi/yP7j3pBxAFoDwW4qz2LCoBjhxhUdt6IRMEKoFVvSKLEz8+sHbiIqKApatRaqTBXWjfmbaF89YgNSYlOhUWpweNkxRAXrK/CIxGJi5iQSi4wMRmHP3uL20Xv5nhkGGLgYSmQSvH6krwrU/oc2+qLNllJUbVLZpD7vHrsHlULNGdgoEFkgFXIFpnaeh59qjseGcVsIVYqFtQVqtPSHhbUMFtYyVG/ub5I+1amsIybvmYD6neqg/eA2GLbiB5PGWRjkDnqKNqicVBSkxKUi4W3+A5UadauPjUGrsPbZciOPIutSVhgwsy9EEhGkllIjYezgbg/vap6QZf9OTXo0MPo/NuhSDxsCV2Hdc+P+reysCOOl1DL/nigRZQwyMVIUICuxouE/S4mdmSe8TTRUFSPewDMEAFHQlqJpqAy2PaqUQ8V65fH68RuwLNDrFzLY6OahO9gwbgtomoLEQoqFV/5EKRc7mIKrrxuCH7yGVq0FTdNE0eZ237eCl78HEt4monpLf6NkTFq1FspMJaxzJciq0rgSooJjoM4W6D4GFYoOLj6KRxeeQqPS4tbhu6hUvwJR83TC9jFccQoAX7SvadJ3AIBK9SugUn3TjL6Fibuvq95jgwIadCk6t8ST689iz5z9ACg069MYQxYPLLS+2w9ug4bd68PCSsZXhsqBpmlMOzgJD88+gUTGqfbyA5srPYCp6W8N8XNwB9IN8x4DWkYHMS1690kCnxUlVpjX61gHJ/46w89Ey1YqQ7R/O+t/WDfmb1AUF0LvXUMvAGkR9/AE3w+FdSkreFQhDZwn/jrNJ/pXKzV4fOEpWvQzLrGVF9/O6gtFhgJhAeFoPaC50SyqYr3yeUY1hjx8jXl9lkCtVKN686qYuGMsvxz/3++9Yetog7cvItGqf3NivKnxabxftk6jNXLlE4lFqNex5ITyDVn8Peb2XoT4t4lo2K0emvc17b4XBrtn7+ftHVf33ECviV1Nzp8T+ugNdv25DxY2Fhg45xu4eOhf4izLYs1PG3Dn2H2IJSJM3D4W/rmSrElkEjToUjDPHZFEBLFEzI/dyi7/+u4apYxjLYLk0fC3M94v8HlSYoV5+S980W9qLxz/6zScyjphzIYRRHuj7vXh36wKFBkKlPZyMVq2isQiVG5YMc++1QY+toyO4V3OTEGdpUbEy0jEhcXj8YUAdPihrUmh1Vt/+weKDC5wJPD2Kzy9/Ay12tTgx+pRpRxCHr7Gq3shqNyoIl8tqNOIDnh45jFAcUWbm/ZuTPSbFJWM20fvwsHNAY261yfugzJThWt7uRQCzfo0ITxHFHIFru65CZGYRvM+TfIVHv4xuHg6Y9mdBUVyrdwY/kV0Wp3JBSaUmUrM/XoRFHIlKJpCTEgMlhgkJgt58BoPDN1Hf9mGpbfnv6dHYxgdg8DbryC1kMDvC1/id7Sys4JOp9eTF8RLyl5s/AI4FHNfEOYliBIrzAGg88iv0HmksQEP4GZDqXFpkFlJ8x1A4VHFA1GvOAFO07SRz+/72DljDy/8g+4E49K/19DhhzYfPE8kJnWUhkay0EdvsHLoOqgVagRceQFVloqv5eld3QvbQ1cj4E4IPKt6EEvsHBdDVaYSohwXwxl9AXD3Z06vhXj7MhIUuILEf575HRRFgWEYzOwyDzGv40CBwo2DtzH9yG8m34OSiE6rK5DhEADSEtJ5F1CWYY0KYHO/paH7aN6qC0bHgGEYo7J+LMtiYf/leHU3GCzLotWAFvjuz//x7bGvY0FTNHTgxp9XYNGHkIiMRcGTjLd5HCnwuWKWVg6WZbFy6Dr80XE2JrX4HUdWnszX+d1/7gxLW0tY2ljA1skGzfJIIfsuDCMwGR3De2Z8iMELv4WNgw0omkKtdjWJHCvhz/QPlVqhRtAdMiLV3qUUKjeoaKQr5VwMOSGlylLjjkGpOmWmEm+ehkOj1ECt1CD8+Vso5JxdISNJjuiQ2Ow2NV7dCSEq2ZgjtIgmdNliidjkmbmLhzPc/Vwhs5JBZiVDw271iXbfWt5o+nVjUDQFS1tLDF0+yKiPeycfYJDvCAzyHo4jK08QbUlRyXh5Myg7glSNc5vJCFJGxxJeS4bRoB9DOqv88EECnw0fPTOXy+Xo168f1q1bh3LlTA+u+ZQkRiTh4dnHvPvhwcVH0G1MR5PP96xaDivuLUBcWALKVnSHRR55X9RKDWiaMgqusHO2RXJMCgDObdBUtz4vf0+sf7kCWrXWSIhUbVoZLMPl25BIJWjcq4FJfZat4M7bFIxdDCnC11kkFvEFD6ztrYiVgaO7wweLQBcWOq0OJ9efRfSrGLQa0LzQsyamxqchLiweXv4exO9KURTGbx2FNT9tBKPVYfCi7yCzMi1giRbRmHFsCm4duQsLawvU70wabSmKwg+LvsPAOd8YuY/msHb03/z/9cCiI2jZrylKleYqQ1mVsiK8r2wNcvoAQGYaWa+TzUeSLYFPB8MwOLflEt48CUPTrxvlOwlefvmoJ/TJkyeYNm0awsLCCmk4hYPMWkZERRpmpDMVGwcbI2+THA4vO4YDi4+CoikMXzkYjXs05NsGzOyHhf2XAaDg4uFkNEt7H6/uheDxhQCUr+1DpEl9cPoxQHEFJSgRhQadTSvW4FzOCZP3TMDJtWdQ2ssFvX7Rh4DHhMRAaiHlA64oEc0LmZAHr4nQbrvSxp48ykwlkmNSUNrLpVAF/b+z9uLC9itQK9S4deQu5l2YAXc/t0LpO/h+KOb2XgxaREFmJcO8CzMJL6XqLfyx7vny9/Twbg4uOYoT685AJBJBIhOjTgfjKM93RVVqNZx7bQ46rY4P7gI475TxW0dh25R/IbWUYvhKMg2FTqMjUhYXNHpTDMC8119Fy5HlJ3B4+XFoVBrcOnIX04/+9knLRH6UmmXv3r2YPn06SpcuXVjjMRmtWotFA1ZgQJkhmNTid6TGp/Ftdk62GLp8MGydbOFczokol2YKGclyLP52BSY0/g3nt10i2tIT03Fw6TFOx6rWYsO4rcQMt2qTylj1cAlmnZiKeRdnEkbF1Pg0zO+3FBOaTMHVPTeIfkMehGJenyU4svw4Vg1fj6t79e2X/72aHQDEgKIoBN7Wh44zDINf2/+J/m4/YEiFUQg18GsHOBfDcVtGof+MvsRYSnuX5mbfFPfwl6/jx7cp5ErQBsUOtCryEX9yKQA/+I3ExCZTMbTSaGQkk5V05KmZ2P77Lqwb83eefuK7/tyHwX4/YXzDydl1L/U8u/qC9ySiRTTePAkzOr+gHFlxHKosFRQZSmSmZuH2kbtEe0xoLGZ0mYtJLX43Skn8PuLDE3B603kwWgYalQbrx27J17jiwhJA57KZ5PaicSrjCLVSjcjASJzfdpn4z5X2Jg385aoUbIVsLxYKUhQmt4/e5VMraJQaPL5gWuGYgvJRwnzOnDmoW7d4EiFd338Lz2+8BKNjEBMcg91z9hPtTXo2xPoXK7DywaI8l+oMwyAyKAopuSrbAMDG8Vvw5OIzxITGYef0PXj9+I3RMe/D1tEGnv4eRjPWv0ZuxLOrLxATEovNv+7gy4QBwPPrgbxrmVqhxoNTj/g2nxrefE1HRsegbAV3vu2f6Xvw8PxTsCyLrPQsLP9hjUljtLG3xvSjv6Hp143QfnAbjNs8km+r3rwqPKqUg8ySq6E6YGZf4tz1YzfzwkSZqcKuP/cR7Yv6L8e5LRdxbe9NTO80h/D5f3D6EY6tPgWlXInYN/GY3mkOcW6dL7/gPGeya5JWqFt4ahYHNwden0yLaKL6DwAs7L8cwfdCERkYhWWDVhu9pFIT0jCv7xLM6DwXYQGFl+/bwc2eV61RNIVylYyrY20cvxVJ0cnQaRlc33eLsM2kJ2YQnjgFVbP4WxtfN+d3zkrPwqGlR7FvwaESk8myuGF0pP+/Uv5pbRDF5s3i5FTwWYCLiy2kYhrIDpZgGAbQ6uDiYvuBM8EfP7XTPARcewmWYTBu43C07d+cb0+M0NdzFIloqNIy+b5dXGzRoncjXPjnGgCg76/dUDoPNUReJLxN4HXYDMNAI8/i+61Yy4t/cMRSMRp2rM23TdryEzZO2oG3gVHoObYTajfTR46GPQ0jrqHMVJp8H1xaVEGdFnkXlV59ey6iQ2JRysUOtrnUTaJc4ehW1jLimmEB4XyuEJ1aByZLCRdvLlNgVC6DcHpCOnHuiEUDULGmFyJeRaFVv6bwMUjRkB/yugeDZvXGvRP3kZ4sh1eVsug0uCVEBp4lqbGp/G9AURREDPmf+rHCSGRm5x2f2n4WDqdshZWtFZycrOFcxhEx2eX12n7bLM/rZ6TIQVEUkaecG6wtFl+cga2/74a1vRWGLxkI51znpyemG6i+WFhIRfw1ksLjCcGRGJGY5/U/9L/4nm6GK3eCiH0vmEi0dKuKIa2nI/x5BADg6p7r+CdsLXHvSiKmPicFpXHXOjiwPBaMloFEJkG9dtU/6TWLTZgnJcmNCtuagouLLRISMlDry9pwWnECiZFJkMjE6DymExISTAu9D330BgHXXvL64nUTtqNme72O86vhHbLzYNCwtLWEZy1fvu+sdAUu/HuNP/bfOQfx5fAvTXJ/rNyoEuLCOLc1rVqL8Fex8KnL9XvAwOOGZViUqepJfJ//zdDnJzHc37RPEwTdDeV1rD3GdzH5PnwImYMtlFoWylz9DV0+GPP7LQXLsLC0s0SPX7oT17R11BuBVUo1dGIJ316vaz3sWXCIN2lUbVrFaLy1vvoCtb76wui7msKZv8/jxr5b8KrhhW9n/Y8oyLFyzBakJ3Gz7eCHb3Bq2xU06KK3PziXc+LTPkgtJLBwsOWvz7IsL8gB7je6cy4A1ZpVRVhAOKEuOrfjKvpM7U2M6/CyYziw5CgoAP2m9UbH4e2Jdkev0hi/fQzXd67vnZ6UgcRIvbsho2PgWcuHPyY1JYvoi2WN71vOc/M+XHTG/umznhxCWZUDL8gBICkqBYGPw1Ha08Xo+JKCKffjYxFZygwS6zEoVcbpo65J09R7J8El1s/c0tYSVRtXwsWdVyGWiJBl8KB9CCs7SyLIIqdMWQ7NejeGl78nEt4moErjSlzui2wiAyMJ46BOo4NOq+NVKqosFfYtOITokFh0GNIWNVtV448lvCNYZC/VudD7xIgkPixbYiFBalxqnhWQctOqf3N4+Lni9ulHqN2uFvxz5Xs5uvIEjq46CWt7a0z652eUrVjmHT2ZTvUW/tgc+hfSEtLhXM7JKHGUwmA5KbOUIuFtAmwduNmou58bph36FfsWHoaXv0ehJtF6evkZds/eD1WWGuEvIyGzlBKpe4MM0tRymSjv8cJcmalEdGgs3y5PzYRaqeY9XiiKgoW1TJ+PnqJ4Y5ZOo4PaIHFbZkom0uLTeG8UZaYSBxYf4Ytk7/pzL9oPbm2yoTIjWQ5aLAJy/OApilDhKTPI/35u/bupSPKYaafqFOh7bxVylyiJfR1XooV5UXDn6H1+JS6WihF4+xVKe326e1Zi/czfPAnD9f23wDIsFBlKrB+72eRz3XxdYW0goCVSY39iRqdDcmwqkqJIA52nvwfxsNg62hAP1uZfd+Dclkt4fP4plg1aTST4qvcVpw8WiWlILaWo+5U+zL7b2E6QWkphYWMB+9Kl3hmdmheNutTFgBn9jAR56KM32DP3ILLSFUh4m4hpHWYRXhIFJStDgQ3jt2Dxdytx6R/jepcuHvpHX6dlUNogP01Gshyrhq5D+NNwXNp5FfdOPDA6/+LOK1jwzTJc3HmFMPR9iJjQOD7wR6PUELNJgCu9Zoi3QY4biUxCvGzzyqGy6NocVGpQAV7VPDHj+BT+Ja/MIwXz8xuB/OeMpAxekANc+uP8lHVz93OFb01vPkFbx2HkrL5cZVLXXehFsC2Nx+roblqag/8yFeuX51eGLMPC04TJ2cdQKDPzixc/XAarsOEeDv2fLD9CKiNZjsw0/dI06lU0UQ39+fWXWDRgBbdepShMOziJ99G2sLbAnLN/YMfvu2BhY4kfl35P9B368DVvwaZFNKKConiDpX+zKpiybyICb79C5YYViYeuVf/mKP+FL5JjU1G5QQVCsGSmZ2FOz4WICIyCm48rvl08CA/uvIZPBTe0+LIa3kVydirVHFQKNdITM2CfPWMsKFsn78S9Ew+hVWux84/dfOKyHOIj9FkHGR1DxMk/vvAUCrmSV3EdX3OaUHXsW3AIh5YeAwA8vfgMOi2Ddt+3Mmlcrt6libzeuXXTQ5cPxowucxEfloCK9crjq6Ht+DaRWIRfd43DponbAAA/LvneaMXhVNYR048aR8J6VCkHWkTzszBaRBPulG9fRkEsE/NeQTYONnxhCVOgaRpT9k9E4K1XsLS1hF9tMm1yboOkrpD9zKlM4/5y1+D9LxJ8PxR/jdoIjUqDQfO/RZ0OtYj2/n/0gbWdFcKfv0Xrb1sSKbo/BSVWzVK+ji++6FALd4/fh0gswpBFpme4s7G3hq2TLdLiU5HjD24YqHPjwC3ePQ7govMMA268/D0x7eCvefbdtHdjHFlxAjqdDrSIRsVcmQfflWgL4IRC7qRfALB4wAq+rFvU2yQs/P0guBfZEwQGRKDTl1Xx7HYwarWtQVRMqt6yGkQSES/grGytYOuo17mlJaTjzrF7sHO2Q4MudU1OexD1Kpr3vAFNIT48gf9OLMsSrowUTRGVb7gEVNwLRiQRwc1gvABwbqveFZRlWdw6dMdkYZ4SmwKxVJ9wKrfbo33pUlh+ZwEYHWMkqAHOjXPR1dkmXcsQRYaCEOae/uWIVYBnlXIQiWhowS23a7WubtRHZGAUjq05BVtHW/Sc2NUompeiKIhlYsjyyJET+Sqa2E6JTsn3d+CvA0KLCABgRRRYEFl2EfUqukjz3H+OzO29mJ+ULBu8GhuDVhEppsVSsVHh7k9JiRXmFEVh9LphkKf0h8xKZnLoNcDNnGYen4KDS45CJBah58SuRLtPDW/cOnQXKoUaMispvKqavjzqNrYTPCqXRVxYAup3rvNRs2CGYUFRXFELHm8PGD5ZV/fcwNUlnFvmzj92YeKOsajdjkt1a2Etw9Kb87Bt6j8QS8XoP70vPyNUyBX4rfV0ZKZlgRbRCLoTjIFzvuEvc+vwXZzZdB7lKpfFgJn9CB/1r4a1x8YJW0FRnKGwRkt9ZkiKotBvai/smXsQANCsT2M4uOoNa5UbVkTvyT1xbstFeFQui+/nDSC+s1MZB8gNXAKrtySzTu6ZewDH15yGWCrC2E0/8cnIAG52zb9kgHcGfeUlyE2B0TF4dP4pGJ0OtdvV5NVr0SGxkMgk/LUzU0mDpIunM37bOxFnNp2Hm48ruhkUSgG46kozusxFVoYCYokYYc/CMe3AJOK6s3suRPizt2B0LHpP7oFOIzro27VkThlre9NzCeWmkoUbApWx5E5LGkxpMUTx3PcTy8SE6uy/iE6rIyqcMVoGCRGJ8KxCyor0pAykxaehTAX3fK3GCkKJFeY5vOuB/RDO5ZyIEmuGtBnYEtEhMXhxIxBNejZEox5k+LxWo0XQ7WBY21sReleAqxqzf+FhhL+IwJ1j9/Db3gm8EY1hGNw6dBepCWlo3L0+ERiSEJGItaM2ITk2BT3Gd8Wh48+RGMctnxlaPxujpBIyvV+SfvbJssC6sZux/sUKfp+LpzMm7hhr9B3Dn0VApVDxs+Zbh+7wwvzN03Cs/3kz1Ao13jwNg1atxfCV+gIV3tU8IRLR0GkZiMVi5FZrdxzeAY16NIBWpSXyuedg42ANlmUhT8mEIkNBJDIbv3U05vVdiqSoJDToUo8o2RcVHI0jK7i8JTqtDku+W4UdURv59tT4NNA0xXtJGQY+5aBRaSBPzYR96VL5TsC24se1eHyBqyJVsY4fphz4BRRFoUIdX2jV+tVHzTxm3u9bkcWHJ3BjZjkvp9ePw4j2ty8iEBbwlhceh5cdI4Q58bIHiAC6/DKtYg8MeLqW3KllAQ3DzyEcyzga+eibK1kZCqwf8zfCAsLRrE8T9PqlGyiKytOWo1WTL9WAK8+xZOAqUBQF9/JumHFsCuFdVdiUWAOoVqPF8h/+wiCfEZjVfT6hAwe4JXrAlee4uucG5Cnyd/SSN9f23sSlf64hISIJV3ZfJ1QuOq0Os7rNx5KBKzGjyzwcXn6cOPfIyhPcsjfbW+W8gdpg+9Rd2DRxK/bMOYDJrWcgK10/5lXD1iHobjDiwxKw8a8rvCAHAMq9NOBVFnA1TuULCzJvjKFQ4ba1ePM0HGm5HnBXn9K8b7JYKoaXgT4vJiSGf19oVFqjAJkjK09AmcW9CDJS5Li276bRPXRwtc9TkMe8jsPmX7YjPiwBQXeDsWroOqLdxcMZS2/Oxbbw9fhp9RCiLT6crACkyzUjrda8KsQyCSiKgsxSSujiAS7x2HD/nzG27iTM6jafmMV/CK1ai3snHkCj1ECj1OD5zUCkJXC/0Zun4aAManSGP89ftkF3PzdYWMkgEnOViGq2Ju0gto62YA1sQqVyrfZyf4+PmQG6yOzws0cHYh+dqAGdxvBqlvg38R/1wihJ/DtzLx6df4qEiCScWHsGj85xhV7yqk7m6k16qvwzcy/U2aUao4KijapoFTYlVphf2XUdjy88hSpLhZAHr3FwyVGi/eCSo1gycBU2/7oDv7aaDoXcdNfFw8uPQ61QQylXIiUuDS9v6QMpIgKjEPEyCspMFdQKNY7/dZo4V6PS8A8eo2MJffGdY/egylJDq9ZCq9byenCAy4zHV4zJ5V1DURRo+1Kg3fJwayrrDki440USEfpN/ZpvUmaq8Fub6fiz+wKMrf8rAq4859scXO3x6+5xqNW2Bpr3bYIxG/X54Ks2rQKNgYDQ5BIW1vbWvMCgRXS+KtukxqbyDwHLsEiMMj1da7XmVQh1j28uQ6BvTW9MOzgJ307vjTEbR6BZrtzuO//YDUWGgrv3z97iwZnHJl9bJBGRSmMWSI7hVkVatZZ4sPPzkgA4ddic89PRdXRH9JzQFSP/Gkq0O5V1xJAl38OxjCO8/D0wLld6Cgsb8oXuXf3jDG1fudXCNB999S3GSUIo0imaQkxobB5nmh8RLyP1kdlKNe/vn5mWZTQ7z0mbnYPh/0Cj0iAxMv/lCPNDiRXmmWlZ/MxMq9ESelaWZXFs9SmoFWqoFWrIU+QIfUiG5KcnpuPijit4dO6J0Y/iXNaR16syOgYObnqdr52Trd5zhgKhDwaArqM6ws7ZDhILCZzKOqLNQL3xzreWD+9bzOgYuPvpjX9dRncELaZB5XNWRYtowMMdkEnh6ueOGgZ+7Y/PP0FiVDKUmUqoFWrsmXeQOLdyg4qY9M/PGLJ4IKHqsLC2IB7euLB4ZBn4Mn89qTv8avtAailFrTbV0bwfmSL40fmn+LHSaPxQfiRuHrpNtFmVsiKKf1SsT6oeIl5GYkydX/C913DsW3CIaJNIJVj9dCl6T+6BQQsGYNbJqUb3o/wXvvj2j9683YA4XyY2LrRsQHJMCrZN/Qc7p+82qv1KURRRPUgsFfO/vU8NbyJFcN0vjZNsfYhnV1/g2JpT2L/wMP7+ZbvRf9LL3wO12lRHvY5fwKUc6Umiy5WHvTASnzVzNnBzlVBQtbAFKwJYCqBsxSbFQJgDOoPflWVY3jZnlUfyPgc3csWU266gyPi04fwlVpg379sEto42sLCxgJWtJVFlPvZ1HJ9OFOB8jg2d9bMyFJjcajq2/74LK4euw74Fh4m+f1rzIyo1qAAXDycMmNkXXv76mY6juwN+Wj0Epb1d4FfLB+O3krMkp7KOGLvpJ3w3+xv8eeZ32BmkKx21bijaDGyJul99gSn7JhI6c1fv0hCLRWAd81clhtXqgLAIQKVGdGAkFvXXZ/2ztrfmhTItooixvA+ppYQ7lwJAAdZ2VrAwcJVUZanA6BhY2ljAu7oXITwYhsGKIX8hM5XTh68d/TcfaANwmSENg2XS4km3ur9GbURiZBLUSjVOrD1jpOKxtLZA4x4N0LBrfdB0/v6+A+f2h4ObPSiKQq021YmaqIyOwR9fzca5LZdwZtMFzO650Oj8ybvHw7e2D0p7u2DU2qH87/fs2gvixfDgzJN8jQsAtk39l1+x3Tp0B7Fv9DVt0xPTMaPzXFzceQVHVp7EmpEbiXNz3wcbx8JJmGXYa+Z4d8h/dkPWIBekr/ImAunMGUuD7ym1kurtX3m4fz6/HkhsN+xWHzIrzt4ltZSiSuNKn3CkJdgAmuNmFvM6Fi6eLsRSn9ExxMxGYiEhhHnow9dQZc/aAeDq7uvoM7kH3+7g5oDfD+XteggA9TvXhYuHM1gWRq51pzedx57Z+0GJaBxZcRwLr/zJ/wEsbSwxcPY3eXWJuDdx3JhL2Rm5gb0XLbmkj4tIwrE9d/EmJBb3rr6CztoatEYLz8pl8cOi70zqkqZp/H5oEnb8sRtgWXw763+EB8iGcVvw+vEbMDoWR1YcR9UmlfWuiQxLzLx1Wh3UKjWvHvGt6c3rl/P6gysMVgA0tz65AwAAIABJREFUTRHRpAzDYNmgNQi4/AwsCwxbORiNu5PGaZZlkZ6UAYZhjIRcmfLumHNuOiJeRsKrmifxnTKSMpCRnME/pJGBUdBqtMSLyt3PDbNP/250v5zLOfEpl2kxDTcf4yyiaoUaoY/ewKmsY55RgBKDFxzLkttRwTGc0ZvllutBd14R52amk/nMC4u9NUbj66eruA2agroVN/Msb+X6nrPMi+5jO+PFjUBuVi6VoHZ2se30ROOw/NyJ2Zr35cotvroXgi/a1USVRoIwfyep8Wm4dfguSrnYod33+vDolFgyE2Jum6Gbj6s+kZZElO/IrE0TtmWrDyg07FoPw1bo80ufWn8WquyXBAWudFxe3g2GKBVqZGi5geYjMJBDJgWcHEG5OAEsA1YqxZ6/9VGZdBk3oIwbKnWtDacyjiZ3W65SWfy2Z0KebSmxqbzxlKIo4o8tEotgaW3BC2GRSIT4sATYOXKrAr/aPhi76Sdc23MDPjW9Ca8MgCvEvWrYOoCi4PeFL+EBEhbwlkuRm73q2vnHbkKYZ6ZlYUbnuYgLi0cpZzvMPDmViFR8+zwCM7rMA0VToGgKc87+AVdvTvDaOttCZi3ji2PLrGUmz/yt7a34MTFahu8zB2WmEr+1noG0xHQwWgYj1w41KrI9at0wLBu8BqosFb6e1J17QWTjUbksl8uepiCRilGzFfl/yr18zzHMfiy2Mis0sPPDnfRQYr+aMa+s5+lJGUhPSEeZCu5Gbqs3Dt4GTdPQMTo+L3mr/s05l+NcTvmG2UxzaNi1Hhp2Na3+wMdSYoV5VnoWprafhaz0LIilYgTfC+WNeLmNnbl1ii6ezpiwbTSOrDgB53JO+NagniLAze4u/3sNj849Qc3W1dH62xa8rlWVpcKV3df5Gdz1/TcxcO43/OzbzccVydEp0Gl10GkZ4qEEuFVDWmI6aIkY6/88irCgGMjTFNAlJoFVakBJpabPysEJU7iX/qCb3fljj1Cpelk0bKHXhQbdDca+BYdQytkOQ5YMJAIe3kfvX7tjzU8bQYtoOLo7GFVQsXezhyLbXU4kEREqGgCo3bYGP8PJTZ0va2PVoyWQp8jh6lOaEKgyKxnh1ZG7EtCF7ZcR+yYOOo0OybEpOLTsGH5YqF+NnNl8gU/HS9EUru6+gd7ZKzKapsmUpSyLty8ijFxP8yLHXTKH89su8f0CwNNLz5CWkM5f+8DiI0bC3NLGAtVb+MPetRTaft+SaLNxsMHss3/g0s6rsLSzNErSxeZKWJdXZayCUkZmrPaLVqaAZVniP3d1zw3cP/UQ1ZpXRbtBrfPt9llcPLkYgGWD14CiuAnMH0cmEzErykwln8eJZVh+Na9Wqo1cFG0djdWYkUFRSIlNRcV65U2uXFVQSqwwjwyK5tQpDAuNUoOAqy/4Nu9qXhBLRHyejtLexsve6i38Ub2Fv9F+ALh95B62Tf2XK6B8+TmkllLeM0Iik0Aik/A+v2KphPjxf1rzIzaO34L4t4noNrYTkdgqI1mOqe1nIjUuDShTBhAbLK3Ts2e3FGW8lPgApjw4LAvsXH8Jfy87A62WQc++9bDn1638Synw9iusebI0+1gWm3/dgRv7b8Hdzw0Td44lDL31OtbBoqteSI5NgU8NbyPf2VFrh2HxtysgT8lE19EdjXKHvI+3zyOwNDuXeM8JXYmZe9kK7vCr7YOX2QmzGnQhc+mrMpX8i5tlWCMXQSd3B0hkEi51g1RsVMXe3sWOcxdlufPzejijgmNA0xQRrp97xZM79qFU6VJg2exQfzENpzJkXpO0hHTM7rkQykwVxFIxYkPj8OuuccQxrx+9wcl1Z8EwDB6ff4qp+395Z6Ku3P1/DB2ca+BQApk/RwsGz+WR8LcpB4qicPfEA2z4eQsYhsGDM49BS2i0/da0qN3iJsd9EOCiWp9de0lMNHqM64KHZ59Aq9HCztkWTbPlQGp8mtFLNCEiERXq6ou8XNl9HVsm7wQtouHgWgpzz8/4pAK9xBpAy1Rw52QexQnYKo24xFSBd15hfr+lEMvEoGiuPJipuuIcgh+E8j+wSqFG8H39MlOj0nD63+xr1/myFmH8KuVih4k7xmLhlT/RpGdDot+N47cgMSIJWrUWbO4Mddm6WUqrhVEUTiGRmpgJRZYGGrUOu1afI4w4KbGpfI6Ph2ce4/q+W1BmqhD+PALbpvxj1JeLpzMq1a+QZxCETw0vrHmyFNverkfPCV2N2t/HymHrEB+eAEWGAvvmHyRc4NKTMhD84DW/fXLdWWJm5OzpTCSwUqST6oemfRrDwkbGFYCoXBatDHLYA8C4LaPgWdUDjmUcMGTJ93AqSwrprVP+wdS2M/Fb6+nYOWM3v9+rGqmmy61Wq1S/AtoNag2JTAJrOyt0HduJaI95HcvbEbRqLV4/IT2vUuJSsfqnDdBqtGB0DIIfhOLhuXcbWW3yeAkVFCmdt3fVhMB/8eX9hdgTdRNHV53kPbxYhsXx1afzPOdzJMdACXAxFbm9VK7uvQmWZcFoGWQkZ/AxK6U9XUCLyUlU7riH97k4fwpKrDC3sbfGzJPT0HpAC3T7uRNGrR0GRsdg4TfLERMaC6Vcxc3aVWocXHzU6Py3zyMws+s8TO88B2+ekh4TdTrUgtRSCjo7u6HhkvhNQDgn6FkALOdSZipPL2f7eecxkxa5u4F2dgLUOkDLcIU33iPULaw+MjTYilyKi8Q0vzznArCyC3/oGMhT8mdg06g0uL7/Fq7vv5Vvn+ssg+AviqaJ1Ma59Zm5t8vX9uVXSVIL/Qs+hy2Td3L+wQyLyKBoo5J0ZSuWwfyLM7H60RI0/boR0abMVOLCtktQK9VQKzU4veE8ryePD08kok1T4sjcKCzL4tbhu5wLbWomlg9aQ7xIPat6QCITQyQRQZYrmybA/VcNV1+MjoE4u2LS6zzK6smsjfO3FJSyVu9PqLU5+hpUmeRLU52lfsfRnx+GKimWZY28VJ5cDOA942iRiC/LmJ6UAUZLPp+G1Z+AHBdn7nfL7eL8KSixwjwzLQsrf/wLl/+9huv7bkEhV0Kj0hDRmgAXuJOcK+ESwzCY3WsRgu4EI/heKOb0WkS8Vf3/z955h0lNdu//k0zb3gssy9J770hRQIpSREURK4oFGyAWxIaiYnsRUFAQEQsWQMACIihI711Aet9dYHvfaUl+f2Q3M5nMFnDRl/f7u69rr2tnniSTyeQ5Oc8597lPN1XdcOjztzB+wdO6cExszRhNlc5kNpFQ35j0KAsR8SU81ABjTFMwm9XCIEFAdLqg2Cir6o1Zi0YTW+3yKWiixUJUhyaEx4URER/OuO/Gqu3agA4D2hJVPVKVXA2ycdvzlRcLUhSFd4ZN4bPnvuKz577inWFTdOOyLPP5C1/zaNMxvDNsiq4KFuDOCbdjCbBgC7LSoH09nWBVSEQwd786FJPFhDXAwuMfPawzcjWbJDL28ye5ZlB7bnikryEXkpmShez2KBv6axlYFswWs24FZraaNYPaoX9bzFYzJrOIIAo066bv3uSyu8g6n40iKyiyQkFOoe57B4UG8vbq17jjxSE88N69ujg/QK3mSZitns+OrRlD65JQwKFNRm+v9Lz+KcS20M+BBh3rlbHlfx+8C/dkSSblSIpuvE3vltq8UGRFU6wsyDJWlWem6gvgHpvxMI06NiQmMZq7X9NTnK8ErtqY+W9zV3P+xAVkSSb9bDpLZyznnonD6HJrJ7b8uB3JJWEyi5jMZm5+epBuX7fDrfMAHUUO7IUOXeFMWVoa0QlRPPPlKBb/5yciq0UYhKLKw9i5TzDtwY/JLHRXGBcXAbnIQXz9eExmkfMp2ZSEXRk0rANms4lHxw3gjacXVPrzfRGRFM+by54zvB8YEsi7a98g5VgqUdWjdEqLAGf/Sua9u6aSm5FHvwev5+7X7tCManGBnSPbj2lG8/DWo9gL7ZoHtPWnHayfvwlHkYO/Nh1m/qTFjHj3Xu3Y3W/vQrNuTSjMKaRGowQDo6TfQ73pM0JNsPnLFbTq2ZzeQ6/x29Hl1mduYtaozxDNIuExYYaciSzLnNh9CmugxTDxzFYzYz57gtlPzUUQBEZ++KC2MlBkBbdL0r7zvAnzadq1sfagtwZaadSxgepFKwo1GtVQefxeiKwWycDHbzCcM6irjMDgQCS3jCzL3PRkf+26NOxsvEdja1ZtA4RALBTjKnP8+Al9bsJXduFKQlEUCnMKCQoLuiwBNe9bSBAEwmL1hT93vDiE2KQYUo9foPvtXTSmUvUG1QxsFmugPh4eVT2SV34sm+Jc1bhqjTmKopajURLxkNUfNvlIKoIoYLaaqNEwgVGfPGrwnq2BVtre0JoDJeXtjTs31Bny8ycuMOWBGeSm5XHz2IGGZgDlJU/LQ61mSUzd+g5fvLecP37aXeH2ItB3QCv6De2I2y1x7K9UQkIDqFlHnayNmtekemIU55Ozyj9QGTh9PI2n7vuUiR/cRXik3riYreYyPYlZYz7T2sL9/vkfdL6pA/Xbqd5YQLCNkIhg8kvas4VGheiSPnkZebgc6urJ7XST6iPf6rS72PLjNvKzC+l9Xw8DG+iXmSv56YNfiIgPZ+zcJ3SJyIrQ+aYO1GqeRFZKFvXb1dWdl6IoTLl/Bgc3HEJRFG54uLdOGgFUL23mgWm+h2XTkq2aIQeVPXVk2zHdfTd+wTNsWLgJgG63XXNJbI+DGw+r7fdKkru/fvo71w/vAcAf89YZtvdlD/1dJAXFcKTofJnjYkIAeCkjWC9BwfTvwGl38XyPV7h4Og2LzcIbv75M0iUonIKaRF+/YDMuhwtbsI1GPpLVokmk93BjMvfcX8kGY964UwPDdv8krtowS58R1xNfOxaT2URMjWhuGnUjuel5nD1wDrfDjdspcebAOd67axqrv1pr2P+pOY8zavZjPDlrpEFVcPrIWaQcTaUgu4CFby0h+XCKYf+yYC+08/Wr8/ng4Zkc331SN1aQXcDnL3zN2p8rNuSlCI1UHzJms4kmLWtqhrwU73x6Pw+Mur7Sx/NFxoVcRt05i307TlW8cQlyvHj8Loebw1uPaa9FUWTCT+NpfX0LWvdpyYSfxusMV/22dXUUwLSzei9u+iMzWfjODyybsZyX+r6u0flALfX//t0fKMguIPlICjMem63bt5RS+tqQ/7D6q7V+le2q142nWfcmBlZBZkoW+9cexFGkau78MnNlpa9HfJ04XfcpQRCo27q29lqWZGaNnsPccfP46YNfLim8A2qyWdP4EdA94E7uqfzvdrloHVY+PbPu3c21xLMgCAx9YcgVPyeAH6ct5eKpNLWYyu5i8vAPL/kY9799D/e9eSeDxwxg0u+vEh5bOTVIW5ANX+F3X7G/fxpXrWceEhHMexvepCivmKCwQNLOpvPxE58aOg6lnUln3oT51GtbV9fpQzSJZXKd8zMLvMrgRQpyKp8AnPHYbP5ccwC3083eVX8yZevbRMZH4LC7mDDobdJPpaHUSEA0mytFQexwXeNyx00mkWEjruXHb7eSnXl5lYCyrPDdp+to1UEvXFXK2VaZQ55zTWxSQ6eal5+tD2kk1K/Oc9885fezRLMJW5AVR0mSzDfHcXDjIS3hVJRXxLnDqTRopzZBKMgu9IRdFLVq0xvbft7BFy9+g7PYyc4Ve3WU0ooQFBaoK7v17VIEJbTJETMoyCrglqc9tMlOg9qz5P2fyTiXiTXIyqhZj+pWNbtW7mXPqj9RFIXM1Cy+fPFbA/Uw+XAKq+etIyYxin4P9tbRDu0+CUbvsejEKM4d8nI2rgC9+54aXVlwYWuZ43u/3knphBHNIqnHz9Osm+e+zUjJZNqIjyjMLWL4pLt0GvR/B77Kjb7spcrAZDZx/X09Lnm/gGCjMU/xWWX+07hqPXNQvQCn3UlmahbPdn2JYztO+N1OckuGJGh5GPrirWoSLthGzSY1qN+u8h1Vju86oTE4JEki9dh5CvOLGdn3PS4cv4DklnRyqRXBUsmmv0++NAiTSeAS5Uo0BAXbyEjLw1FiSOdNmM+47i/zYu+JWiu1UpSWKYMasmrapfwHjjdqN0+iXls1xGEJsOiKa0AvjyC5JLYv26m9btChHomNErAFq/sOffFW3b7Hdp3UUUqPbj9e6fMKCgti9OzHiEmMJqFBdZ772qgB/+Gjs0g7nU5Rnp42uXLOak1iWPGTRPNm9PjKHQDkpuXy6oBJrJyzioVvLzFc7/SzGR5OswJppz26LaKg/8G9w4VVBatopryUqpznghIfSnJJHNupv+7jur/Cyb2nuXgqjffumnbJK5OyMHj0AF2c3Fuf6Uoj9dgFTD6Ns32L7oryi5k5eg4v3/AGO3+t/Gr8cnHVeuaKojD76S/YtGgLiizrGub6Q1OfZscn951m9Vdria8dR/9H++o0OLrf3oWI+HAObjikMhV8VOjyMvLYtWIvkdUjaNWrhZ5R0biGJrjjdrhJOXqexfO2IksKQlAQSlERiOIlFwZVhEbNE3nz4/s4fug8cdXDmfLqDzjslacFnjhynqfuUcMWjz3Th18/+a1kRGL9/I3c8eIQTair25BrEEWBgxsP07ZPK79yBS6HS81d+Fw70STy4sJnOXPwHMHhQQadko4D23Pm4DnNeJ0/7onVmi1mXl36AmcOnCUsJswQT2/btxWrv1yD2yVhtprpMEBP8QM1yel2uLWHkTfa9Wtt6OPojUyv3IQsK9qyuiCrQCtQc7sk8n2onO1uaEPNT37jzMFzmK0m7n7tDt342UPJuEvYVC6Hm60/bWfkByO0+8rtlHQrTm/P3OLD8/fVOq8qtAury/a80rChQpDZgUlUGbSBDcJxbPJ4yRe9RMLAuLL44+t1DHlmMH8XoknEFmTF5XSjKAoN2ulZNHmZ+exYvpv6bero9Pq94Sx2snTGcjJTs+k/sq+hwC3nYi6vDXqL7AvZtO7TiqfmPI4gCFSrF2+wOZE+xVr/uXsaR7apIcgp98/gpcXPGZhOVYmr1pifP3GBLUu2evWiFCEsFHL0Sy+zxUSv4T10fNL0cxm8cfO7OIocWAMsXDydxsPv36+Nn95/hin3TUcBVny6ime+HKUlPIvyihjf81WK8osRBIGBj/djyHMe6l5CowSPeprJxNefeRo3CPGxKKnnQZbBt2jID1p0vrQeizXrxGox9U+WjGLv1pNMe/2nSu3rfWN+NH6+bkyWFUOn+i63dKbLLfqiqFL8MnMl899chCAKPDzlfkOoQzSJOsqhN4LCgzRDbjKbdBLCpe/VbV3H364qpXTRc5zdd5rE5kk07qznmR/fdYK375iCo8hBl5s78pgPtbE85GcV6Dxqt8ut6Ya36NGM5SUPP0VRDBK41gALr/3yItkXcgiNDDE8SJKaJOp0790uibN/ndNCNRabuURuQP2NgsM9ISDRR8bXV5K5qvBKg1v45Owq9uWepVDIwqX2OkcEHAkeGq0gCCRVQMHzbXN3udi+bCcuu0t7kC7/5DdNuC3tTDpjO4/X7qV73hhG/0f6Go4xefh0jQixfsFGpu9+X8cHf+OWd0k7kw7AjmW7WPbRrwx6sj/nDhkToKu+WMMd4z2rRd8agDXfrL+ixvyqDbNYbBatPRiAKTYGwWLMopttFjKTM3Xdhs4ePKeR+Z12F3/5SFfuWL4bh92p6aFvWOgxyMd3n8RR7NA6iKz9bqNu304D2mMNtGKymDDX8smsFxSCw0llYiHB4QE8975/hcXKwGw20b7b5WXXBatVJ1HQ4rpmuqYQiqKw/Zdd/P75HwZRp6K8IhZMWoTklnA73cwe+7khj1EeFnprrguQ1NTY4Lo8NOxQnztfuMVgyAE+ffZLivOLkSWZHSv2aF5TZWCymHQ8c4vNor3e5hUKEgSB/esPGvYXBLUa2Ww1s/NcMtfNnkP3T+bw/f6DhMeF64ywyWLSXX9B1GuAePf4zErRhw+9ddWrElbRzKjaNzCn1SOYBVlbWAoCyJs8uQtBFEhq4vFu/SWhAy6hmQmonr3TbqRGRteIRixxitTm4B7Zjq9e/lZXbv/d69/7PfbhzZ65L0uKgR2UdUFfAHbm4DkAoqpHGROgPisyX4flSjfAvmqNefrZDI+RsFkRRJVTLoTqS5ntBXb2/P4nc577SnuvTqvaGmfbYrPQuo8+IVOzSaLWBd0aaKVOK8+PoiouqjubrWYDFapp18a8vGQcw14aYjTakkRlZBFFk8DbX42scLsrhrAQbni0H/G1Y+l0Uwee+uxx3fA3ry1g5pNz+Pq1BbzQ61Vd4wpAK6oCNYbq7XUCZCRnsmnxVr8JI2+KnwDGVvF/A96TW1EUg7YGqFV8W3/abhBrCwoNZPhbd2GxmbEF2Xhy1kjNq4+IC9cKdcwWM+E+/TGddhevDXqbx5o/xaMtxjJm+QrcihpmnrZ5C6cysxj96WOERKodnAY+caOO1liYU6irMPU2bN5a8UCZei1ViSDBh/qooLFZ1GIqzzkIgqB2afJCk2v0Ic/cjDzmvTqfZR+vMDz4v3rlWx6s9wQP1H2UtfM36MYadqyvad4oskJIhKcewrcTkq/YXil8dXR8QyU97urueSHAjY/0ASCuVozhe/mGvF5a9BzNujUmJDKE6+7qTt8Rl886qwyu2jDL1p93eCa+t4ceEozb6VA94BLIkqz7caOqR9Ljrm78NvcPZElG8ik57zSoPVnns9nxyy6adWtCvwd7a2NxtWJ5eMr9fPPqAqxBVm5/Xp/AkyWZCycv4vYjXi+EhoCf98OjgwkMspGdno8CVE+KJqyKGgzUrBPDuVOXVsQhCAKmhFimbnvX7/imxVs1oTGHxcmZ/We15W1QWBBBoYFaPNlis3BsxwlNWTHl2Hle6fc6oIZvnvt6jG7paQ20eGKsgmAoWFIUhaM7jiOKIvXb1b0kvvZt425m2oiP1M92y0TV0E/cz8fPY/VX6xAEgaiESP6z/k1dSOT6e3vQ657rtGtUinpt6moPMMktGTTat/60nbMHzyK5JLLtdrVGwmv/iWvW8MVtQ5h9eLpBjRAgNikWyeW5b7xj0L49X8Ojr3yj5WoB0WQVeVa60ogIIg+ZKcguIKlpIl2H6MNv474Zw+R7p+N2ubnh4d7U92r3V1xgZ1SbZ7RmyNt+3sEbJZrxGckZrJi9quRD4NOxX9BjmMe4Ht5yFJPZhMuhatZs/nEbg0t0b3y9f6EMJ+r5+WN5beDbOO1O6rWuw7U+IcHhb95Fg3b1OL7zBD3uuZakJupK8c+1B1VpXDwPCV/pY4vNwkuLx5VxFaseV60xr9uqNrZAK45iJ+ZQHxqZw6gN4a1rLcsyv3++RotBrv1uI7eNu1nrOC4IAv1H9jUUC5ViyeSfyc/MR85QePfOKUzfM1nzRj599ku2/rgNKTgUwsJ0k1YwmzFFGxXtPvjxKWRZZtuqg7hdEp37NEe8ZGFz/3hr1nB+/3kvF1Ky6X9bey3JWREEMDRnKEWt5kn8tekwbqcbWZKI82lkm9CgOsd3n0SRFQRR0HVy37FsJ067U+Oar/5qrWbMSxtLlEKWZfKzCnSCVxMHvc2xXScQBIFrbunEEx89rPvsbyYuZPWXa4hKiOK5r8foJtjxXSfUkIWsILklfp+7hnsmqsnI4oJifv9ijbYSyEjO5OS+07pwjaIopBxJxRpo1SVuNyzYpHn5AqpQWWIjT6jB25BcGGoMfXmLWfl7OJ0tWdqX4uj24+xfd5AW1zXTelKWIv8Sm5dfDq4Jb8pfRV56Rk6FnLw8BLea/LQXOXQPwaUzVmirs9VfrWPIs4O1TkW7VuzWdbU/4cWb9232oMiKrulIYqMaWqjVYrNQt1VtbdvazWpyau9p7bVvzqcUtZol8dnxj7AX2gkMDfR7/bvc0okut+iboETEhRtWEf4qxv9JXLVhluvu7Matz96kKtbZKtZv9haLEgTBsCTyfV0WZEnm/MkLSCXyu0V5RbqbbseyXTiKnEgW/zePvzJ0URQwm010vaEl1w1qg62S51IZCIJA38FtuO/xXsTEhfHht4+Uu70sgGwV+fGt77mv5iOM7TyebJ+44ahPHqX70C606tWccd+ONUjAPjlzJHVa1SYiPpw7X7lNF/euVjdeJ4blbfRkSdaFVWS3TECoZ0l/fNcJju44rk5qSWbToi26EM7mH7fzy8crsBc6SD123lBUFBQWhNlcGg4xERzu8d4yk7N0v4siK7qHiKIofPT4bF6+4Q2eu/Zlls74VRtLbFwDi0196JmsZkP3qWsGd9QeaHKiccVld0us+HQVo9o+y+uD3zFc74Yd6+vIT6IoaEbc4SNqVXgJNRGXi5Yh+tivaUomlER78rMKtNUPqLRMbzE6Z7GTrT97cgy+YUpvFc6aTRJ1qobRNaJ08g5JTRPpec+1hEaGULdNbYZP8uSYfA1teQs40SQSFBZ0Sau84IhggyjXoc2Hy9j6n8FVa8wVRWHv6v0qDco3webb3V4UuGawp9uHIAiMnfsEodGhBIUFMfKDETqOqKPIwZLJPzH3+XmGuK5oEmncqSHWAFXHPK5WnK5qrFaLmpgspqpmHlYZomLC+Pq3Z/2OyQCBFsjIRskvBEXNTSx8R99YOTg8iIffv5/nv3vabyus2KQY3lzxCh//OVUXogLodFMHBo8eQFLTRHrcfS03jeqvjflKiAI6Tr4vP1kQBF2MeOP3m3Tj3nxsgBse7kPjaxpiCbDQqFNDbhzp0UqPrxNHRFy49rCt366eroFzZkoWO37ZjbPYicvuYtF7nmvSoF09JLesJSrr+SS6RLNIVmqpgTbq1Z//K5n5kxaRmZLF0R3HmTV6rn5/k4jgxae2BlrLpFCaqqCZc0WItfqsLn3UAzO9ajpMFpOuOhYg3msll9i4BgleHXq8awccRU4Eryoo3+rMXSv3svbr9eRnF3Bq3xnWeZHDiBFiAAAgAElEQVQRfGmDpR2kqgondp805CeiLqGT15XA3/rlly5dysyZM3G5XNx///3cfffdVXVeFSL9bAYndp/EaXchBsmI3k0dgoLA6aEomkwiNZvoWREtrmvGJ399oL0+cTCFPZuPknk0mV3LdlCUV6R6f4u38sHO93QVgePnP826+RtxuySuG9ZV5y2MnfskC99ewtqNelndstBnaPuKN7oCePiZfnz6vqdkXQGweSV0SuanLMl+jWz6uQxO7TtNnVa1dUYP1PBMaVOPpl0b6zweQRC4eewgbh47yPeQKsXMm+4lgNmLwtm0axNCIoI1id6+D+o72tRqlsTeVfu11+1u1FMEA4JtvLDQ/4PMYrPw9urX2PD9ZgJDArl2WFfduFr+7zFaASGe1eCKz1Z5vDRFYefy3fR7yPMQc9ldHlaHyfiUF/OdWvGLLMnsqibR+Su1afOwJs1JWH1elxhu2aOZLnTljWtuvvItyiw+tFppVBTmpy6iKOqq4eanBmpjgiDw7Fej+eChj3E53PS4q7suR3J810mN+gfwy8cr6V/ykM1IztA9+FKO6vVhTv15GofdU0l8bNcJ7bp36N+Ojd9v8ZyHn+v+d+D7wEZAi6eXwu1ys/bbDeRl5nPdHd0M+vhVjcs25hcvXmTq1KksWbIEq9XKsGHD6NSpE/Xr/zNxo5DIEM+cF0V9GbMP19ztknSNgUvhtLsoLihm8nMLOHP0IlJuHkq6MVmYeuy8Ph4mCNRskkhktQhDl/KQiGBGvHsv22+YTFF+xeXFzdv550xfaXTv01xvzK0imEqKmWKj4EIGFDsQTCLX3dlNt+/RHcd442a1e73JLPLaLy9pUgmyLPPWbZM5vf8MigLdbr/GIOlaFqwldL9S5kFAkE0Xew0OD+L9LW+zd/WfxCRGG1YFg8cM5OTe0xzdcZxGnRrwgI+ipaIo7Px1NzkXc+k0qL3BIIbFhDHgMf/KhaFRITw85QG+euU7rAEWRn3yqDZWrXYcByymEuaOm80/bKP3/T016uLGRVsQTSU8cT9LNnudcCLiwslWFFyCQnJ7j+c7/9ABRuTq2SMWr/ivyWZG8vI6L7Wf7eUilADyKbm/mwbgnp+IsKOIuPrV6DpYn0Rs2rUJw9+6G0EQDLFnl8Otq5D1prpWr1edwLAAHMUOBEGgZU+9uF2b3q1Y9tEKJLeEyWziGq9+sAc3HtJt6y7DM5dlme1Ld1KQU0jnwR39yjicP3mR3PRc6repq3nj0QmRBIcFklPKLFJg29KdOtnlT8bMZcfy3bidblZ+uoqp29/VNZ6valy2Md+8eTOdO3cmIkLlx/br148VK1bw5JNPVtnJlYeM5AyVEqV55OU/eX31IDb/uI1Zoz5DCQlBiFKfmEqBMd5oMoskNvK0fnMUOXip7+tknc9Gdks8Ov0hXcNWp8PF6iW7KmXIAeo1uzQedVVBFAVMJgGpVPTK5FWVajaVVKmCIst8+PAspu+erMUzZzw6W/PWJbfEqi/W8NDk4YAaez6x95Smr7L2mw0GY75+4Sa+nfg9QaEBjP70Ma3PZn5Wvs7Tthc6kCVZV7IdGhVSpt6K6nk/Q2xsqF8J3NLkqCIr/DBlKZM3v3VJk6vbbdcYmlaAuspb+dlq7fWZg+fY+tMOjdWhKIrfhLaCgoCA2yIy/M27mPLADIoizeoCoGRzWVD46eQhvOs6vTn/OS3CCN6bheAGOUhErH3l2SwAo5NuZdLZbz1vRJlQ+oWSITjYlXeEayJUw6soCpNu+w9nDpxFENRWahN+HK/tFlsz2vOgA911MltNaphFUa/V2YPndGyfem3q8NrSFzi48RD12tTVJatTjxtpr3mZeYT5sH0+e/YrNv+wDUVR+PnD5UzeOEnnQKz9bgNfjP8a0aTy2Cf+8hIWm4WtP++gMFdPX/Vd/e9d/acmL+F2SaQcSdW1latqXHbMPC0tjdhYT+wrLi6OixcvVslJVQa/zv4dl8OFUongdEhUiKG92Zynv/C0b1O8DJoX4mvHMem3V3Xe98GNh8g6n429QC1kWPzej7p9pr+0iEWz11TqO5gsImGRRk/gn0Ji7ZiyBwuLtW5KzmKHLinnWyjkHXIIiQr2hJ0Er4YcJci+kM1nz35JXkYeF06lMeWBGdpYaEyoznBHJURelkZ1Wdi0aAuOIrVTkKPYwek/jaGw/KwCjXbpb2zlnFWsX7hJF3r6ZZZeYVF2S7pjdLutC4mNamjVmgoKkllBDgApQEERFOaOn4fL4SKnezW8wzmKFfJaR+MONpM6ogGnXm3Nvk4hKIpCscvJ+YfqkHFbTbIGVOfMhOZkiWXrjlclWkc04Laobn7HbKLHGBbnF3Nyz8mSIjtVL8ebGx+bFEOTaxphtpgxW83cNNrTUq8ot4jcjDytJiD9bIZBmK12i1oMeOwGQ5GYv/IE32QxqLTRUqXMgpxCUo7pQzmLJ/+M0+7CXmjnwqk0rYVkQJBN47gDIEDNJnopgAbt6qmJcQFQFENivKpx2Z65v8quS8kGR0dfPo86NjaU6knRpR8KbjeK2Vzm5/cc1oXYWH0xUanBUbwy0mJYGHJhESgKZouZx6fdT1OfMEjthtU1XrtoEolLitEd+9Ces7icxhhzUKgNl8uNy+4Ze3HaPYbzulxcznH6923MzMln1IdYsI9HFx4CeYWAQmBYEI1b19Joil0Gd2DD4q3Ikow1wMpDk+4ktHR5GhvKpGUvMPPpLwgItvH0p4/pzu3kzmO6ZFRBVoE2nnrigq5VXk5a7mVfH3/7NWxblz0lipaKrNC0fV1tO0VRmPrILH6ftx5RFHjx26foenNHbV+nw8Xods+SmZoNCmxcuJmp61S+fEKdOI5uP6Yl3SKrRTDo4es9Xn9sKLN2v8cvuw7w9IpVyIKizryS21VR3KQlZyAArnAjC8peP4wzL7VCDjKBSWSblMnegjRqR4aBWSSnt0fTPTEuosxrVlX3WimejL2ZRav1FdC1g6vRt24bbS7K0cGERYeRnaYmryPiwkmsFa2N56TncubAGRQUTCaRAJtZO8/o6GACgm0U5qg1C9XqxJNYy+iAuF1uTGaTbv7H+GnRFlctjBivaxAbG0qdlkkc2X5CFcADGreupWkQAcQmRJKVmqV2iZJkajesRmxsKIl14zQ9HQAU2LBgM2OmP6i99foPz/Hd2z+QdSGHIWMHUqdR5buSXQ4u25jHx8ezc6eHYpSWlkZcXFw5e+iRmVmgK8evLEqX0J2HdGHh5KWqxondASHqV5EloyHNzsg3LLv7PdKHH97/GcXt6fojBgUiJFRDKixCEWDdDzuITIqj2OHm1KFUWndtSFTteG559iZ+nfUbsUkxjJg8XHfses1qcGjXacM5tOveiIdfuomsi7lkpuVRs148AUFWv+GAy70ml4ovnp+HXKrB3LAWxHixFBrXhbRMkCQa3dKZ7BzPkvLBKfdTr3098rMKuPaOrthdMnavz09olsQbKydor73PbftKfSPixMY1tHEngqazASqV8HK+V1nX45HpD/Ht6wvJTMli8OgBYPNc/+TDKaz+dqMWv5068hMadvUk6s7+lUxmarbGJz+w4RAHdpwgvnYcNz5+A1t/2U1hbiF1W6tL/0K7m0K7euxil4uxv/zK/osl7BofWZ6gozkoooAgK7hqeh6qipd/KYd6VpayrHD0QjprTxtVIRMV/9/9cu+RS8WxgmS2nj1K/SBPaPLR6Q8y+b4PcdldVK9fjYsXcrV8wu7f/kSSZCSXhOSSWPXNBgaOUROoZw+e01W7FuUX676Doih8MmYuG77fTEhEMC98/6yWu2nVuzXrFngSoACfPP8Nj0x5APBcj9FznuDrCd+RdT6boeNvxSHr79cH37+fiTe9TWFuEUnNa2KLVPdbt2S7phRZirjasYZrPOgpT6L/715/URTKdYIvew3bpUsXtmzZQlZWFsXFxfz2229ce+21Fe9YRYirFUvd1rURS/VYHE51OWZ3GJJMGxduISddnxRd/eVaAMTQEJ03KAQGgtOFlJ3LH1+uYUzP13np3tnMeWsZo2+aRvr5HAY9cSMf75/KxF9e0nGsTx1OJdNHY7kUN49Qr01UfDgNWtQkIMg/D/2fhHcIQzzr00nGJEL1WEisRhMvOQNQS9Z7D+/JLWMHGTjmFSEmMVrj9JutZtr29VDsci7m6s7JX7hj/YJNjO/1KtNHzjL0D3W73Hzxwjc80uoZlrz/s2H1WEqpHD//aUOVpsniCbcpQFaLRIY9/znvzv0dSZKJSYzS3yeioLEwFry1BHuBGpZKOZKiLcUB3LLMf9Zv5OBFL5qkj7/hDrN6ZB5snu/vWyssFrgIOJWP1aXQs0Yd/sw2hjV92+z901CAGeeW6N77dfbv2kPy+K6T7FjukYOt0TBBW9FYbGatxyaolE7vmexLBTy0+Qjblu5AkRXyswr49OkvtLGtP+8wnJu/Rh556XnsWfUnx3ad5LNx8wwKj7tW7sVR7ESRFc7sP6tpt9gL9fFya4CFMXMeMxz/3KFkVn+11lD4dSVw2b98fHw8Y8eO5b777uPmm29m4MCBtGxZNaLzlcGe3/dx+q9kzxuyjCJJKAUFfhUJJw56W/e6VLlNCAgwMgyKPEZCjPKqHJVkfvpCv6wsRXZGPq8+OJe0c9l+x2OrX9nO3JeDxz9+BFuQFdEkcuuY/jRuluB3uz27T+sMo8vhYuVnq/lx2jJDgwBQPaaM5ExdNWcpet59Ld1v70JU9Ug6DWqvNXgACAwJwDva6XK42PzDNu31yX2nmfv8PM4ePMeOX3YbdL+XTv+Vtd9t4NT+syydsZytPxkndFmoXq8aN4zsg2gSKe7VhOK4MIrsLjbtO8W7X6xiy4/bia0ViyAKiGaRiNhwTec+MznTw2sWBLLPe+6BW7/+jpXHT+gMs+CzIHXUCSO7TyKOuED1XvQTLrSdK6TOa3tI+Pgwdd/YhyXfxf7cfy5HdSnwXW9nX8zRVjSyLOt0UuJrxzHum6do27cVfR7oxSNTH9DGEhvVoO9DvRFNIoEhATw24yHdcTNTs3RxcG9D7K+pdcOOxurbBW8vpjC3CJfdxcXTaWxesk03npGcqSXzXQ63Vqzl9Im/u5xufpi6TPfesZ0neOXGN5k3YT4TBkzi8Lajhs+vSvwtnvmgQYMYNMjIF77S+PT5b1gzby1IEmKwFUFRVBErSVS9J7eRhlRatJGfW8Ti2Wup0a4BR9cfqPjDfLy74tx8ju86Qd02dXRe0GsPffa3vtO/gVY9mzP35ExkScZkNnErMO29pWzfovdg/txzhvOpOSSUaJl8+PBM9q87iOSW+G3uaqZte9fTwVxRmDX6sxJDqvDAO/fqxIpMZpPGfPFFWHQoFpsVt7PE61Hgj6/Xa3S2tNNp2jV3u9wG3nHK0RQtQea0u7hw8tKM3R0vDKFe6zq8sXKX7v3d89Zx4JDns3o/0JPbx92iFZoNHjuQ6Y/MQhAEgkIDaVXCnLK73WQW6z24spDbowa5PWqUOR65KhVHtUActUKQThWwafFW+GdYiJeM2tZ4Rh6cSr+o9gwI70jKEQ+zRHJJBp35pl0bG/oNlOKuV27njhduVQunfB5y57ydOdCxzor9sMn8KXBaA62IoqD2GxCMleC9h/dk4/dbEE0CioJG0/UtEFJkhU2Lt+qYW1t+2q5L2G75YRuNOxnVPKsKV5U2iyzLfD5xMesXbVO55eaS0xfUyjvF5TZoDGv7SjIjGo/BHR0DCEjpGYg1K0EL9LqBpKwstv6QyfZlu6gWE8SjUx/QloXZ6VdeE+NKQBAEnbRrfr4xtKEoYPaq4tu/7qAWy7QXOrh4Ok2jZV08ncbWn7ZrSc65z8/TK8+Vg9MHzuIo1n9+nRYebexm3ZuWlHcryLLadNkbve7twc4VezGZRRRZoeMgY0GW0+4i7XQaMTVjdBQ/gO/f+YFfZ/8OA1vpFC/NJ/SVpKs+X0Pb3p6mHKnHLqiiS5KEo9iphRSWHz7i93uKCEgq365MRq1kUnSzs6h+KPl3ewpVvgi48sv2y8XmfLV8/7v0P9h5Ti8HrMiyQe9nx6+7+WL815gsJh7/6GGDwTOZjV42QES1CMw2M26HG7PVrFFcAQpy9PNRMAmExxobd9w1YSin9p3h4qk0mnVrwjVeSW+AhPrVuGnUjZw7nEL/R/tpapYWn6bVgiCQUF/fXDzGi3ZpsZlpf70dq/QbTvFaECqWILlUXFXG/KHmz2pGQrCqnmDp01pRFJT8shMMSng4rojwEm46CGGhZbZvE+JjUdLSPTz20vdtNrBakc6lkJKexWs3vcWId++l513l5wrM1qtHNaHrtY05dMDI0X3zlcWEhAbw2Jh+1G1dh+O7TyC5ZExmkdgkD8PAYrPohJPcTjfHdp7Q+LVul5svX/yWP9ceoHWvFtw36S5tsjqKHLpKR9EkMPQFT3l3aFQI761/k/3rDhJfO04XXwXVw5v02wSyzqZTrVENQ2Xq0Z3HeePmd5HdMrYgK5NWvUZ1L7rYyjmr1Di9wwUBVs+D3EeDQ5EVZo/9nPe2vwPA+vkbtcYVzmInm5dspenQDry/SZ+A08EJlJE2kbzZLiWOSd41cVDyQFVEidM24+ozwfbP01x7hbfij9x9ZY4fC7hI9/5t2fPbPhRFoffwHrq8iL3QzocPzdSonpPv+YBPj87Qzbui/GJQFEOBXp/7e3Jsx3EObPiLxp0aMuBRT8jO7dtlS8FATwaITohiypa3/apVAswa/Rk7f92Ny+nmz7UHmbb9XYLDg8jL0NNzq9WNMzSG37Bws6YR8+HyvdRpXLLikyFL2AJi1ebNrhpjvnTm7zpKm++FFwShbOlrmxUhPExvmP00siiFKTQUJTjYEL8UAgNRCos0LRjJKTHvlfnENyp/vdu9f6tyx/+b0KtPc+Z8/Ifh/Yz0AjLSC3h+zDeg2DBHhhEXbKXfiF66Lk7RCVGExYRqXHRrgEUXO/9t7h9sWLgJp93FugWbSGiYQL8HVZ1nk9mE2WrWPNvQ6DA/HhAkH0nh3KFkYmtGG6o4q9erRlhoAG4/D+opw2do8Vp7oYPFk3/iyY9V4bGzB89hL024OtwQqPfavRQGADjdJYFB01SN/MRQk6bG6Ha6mf/WYqrFlM/3NsmCarT9QfDzv1lEERQQlTJn7RNN/Hd+upIYGNelXGMOMGrWSE7uPY3JYtI1VQc4vPWojrNflF+sM6yfPfcVq+etRUBg8FMDGOrVycdiszBmjl5rXxsLMHrOyUdTDS0O7YUOfp39G0V5xfR78HpDK8I/1x7QVqGyJJN8JIVGHRtw3Z3d+eOb9ciSjIBAnxG9CIvRUz8vnLio3Th1GkuaKVGAcGUIuSwt56pdOq4al3Hh5PK/uCAImrfuZ9CYVBIEv1x5bVg0xugAT2inBI7IaN4Z/U2553b7yF7ljv+3oVmLCsJP+UW403O4ePIi8yct1iUpAUa8dx/WAAsBwTbi68TTokTLHNR2XqWTw1nsJP2sR5cjOiFKN7F9l62KovD64HdYOuNXln20glcHvqVTx3O73Lx+8zuM6foSYzs+z7al+gSoL1PBO+fhdLi0B4cp367LlUiBFgqub4SjSTUUAVxWE8W1PQntrEBR1+hCdkscTfN8L38QgOW3laFl5KcxkyIoYJPBopQZmumbeHmdpf4O4mxGSWdf7F29nxmPfcKs0Z9x5uBZ3ZijyOlT4Ruq/S4XTl5k9Vdr1QpQReHHacsMv2FZKMrXM51Ek0jbPkan6v3hH/LDlKX8+slKXu73uqEoqXHnhlhsFs0WlIZZUo+fB0VV9pTcEt+9sYg5z+gT8l1u7YQtyEZIlNHMipw3vPd3cdUY88pALMuY2x2GRKY/KdqKIIgiYmCAJ54aHISprM/0QkjYldNjuBJ4ceIt5W+Qm68VTjkdLmZ8tY27bvmQu275kNzcIjr0b8v7W97mxe+fZdJvE3Tl0T3v7k5AsI3A0EACgm1cN8xTRZh8JEUneeqr1e2yu0g5dl7lJLslMpIzKcr1TNoj245x5sA57IUOnHYX3/q0Chv05I2atrgtyMY9E4dqY3Vb16ZVrxZqO8KoEN3D39koHnf1cIo71yHn7o5kDtMn8IIO6GPqks1Mmli+St+z3boQFRREz8Ty+2VqMJeyZfBrzDtF1bjk+7kqYBMrkGsulPngwY+4eCqNswfP8d5d03TDLa5rSkRcOLZAtVXhvW8M08bSz/noJCnGFXlZiKsVp9ORF02i32rio9uPlejyK6pz4fOZT84cyeDR/bl+eA8m/vKi1ixl9297dZoyLruLjYv0YbUH/3Mfj3/0MI9NNeaMFKreJlw1YRaT1YTkp7LSAIsZvPogijHR5cbHL+tcalRHupiOOTa6fKFkICr+n9HKqEoIgoAoGpWFNYSHwvl01aB31C9bH7t/DjM+vpf1CzYRGhVCQuMavPjcfM6nZNOwcQK9+jbnjikjiA4wU7dVbV3TkOr1quEodOpee8MSYCE2KZb0s+kICMTUiCIo3BNHzb6Qo3HT5ZAAipJiWbf1KNd2aoAgCAx5djBterckP6uApl0b60I4oijS5/6eFGQXsC/Yhrd/5mxYzaN2aDGBT2jaHROIKd+h2dj0h/TXxB+ig9WDPNSqHWuS9d6q3xx+BTbsg2sGlL/BFUS0EEKmUgYBIF/WfRdfumpQWBDvbXiTI1uPElszhsTGHkZPg/b1CI4I1jTa2/RpWaJeWTHa39iG3Sv3aq/dTjdbftyuU3QEaNChAUe3H0OWJKyBVkOexRpo5dZnBwPgkorZnPcExfJFcoqMgoLeDUtAvac69G+LWTLKCEDVdBLzxlVjzJ/44H4+fKxi+p/JakUqNeaCYIiVVwUEmw1zUuUEspq0qaTndTUhIhQa1VE9dN9rK0m82Ps1CnIKMVvMzP3RI0l76GAKhw4kw7EzkJFDQLCNkR+P5Nj5PMLCAqkWIGIJMOMsVsMwvk0aLp5OI6eEsyyYBbrc2lkXKtm+TE0wKQFWnD2akymKfPDZH6zfeoRXSirx6rb2r1KZdiadyfd9qDbxDmwKMaGe72Yy6Xu3+sya3BsaELXgAOasYgSgKLz8aRUfEsw1NdU8S92oaAJEE3bZ46hobJdK4on6HTCL/hkf/wRuqXYtc84v9z8Yb6JWx9qc3X4aWZLpPtQokhYUGkgbPyGQgOAApm57h90r9xIRF07Lns1144qisOH7zexfe5A2fVrpFBnnv7lIt61oEg3xcIBnvxrFr5/8RlG+nb4jeulWkeBRVSzMLcJ902SUki4cBdJpwONIVK9fjee/G+v3EogkG96TiPWz5d/DVWPMO/RthSXQhKu4fO9cFEA2CSiSYgit/Bv4a+fpf/sULgv1GsRz7Eg5PO3IMPXPF0UOXHYXslvGKciGfpecT4cMVafD7pT4YNY6bdzqsFPqggqiQEScvtDq8NajHs0Pt8yfaw7oerBGxIdjtpopqBWj+8w9B1OQZRlBEDi44RBF+cW07tVCN3H37ziOIoAUEQwRQfpzrmBRpwRacMUEYc4q5ZSX7Tx8OLA/LavFYy5Z8guCwPKh9/Deto2sOOWpHDUcopxbuV1c2fz0fwJKWYlcAEEgqFMk7k0nAIXNP25n4JP9dSwiyS1x4eRFIuIjCA43Skpfe0dX/GHzD9uYO24ezmInO5bvxhpgpX2Jhr1vy7kG7erR5dZOhmMEBAdwy9M3lXn6s5/+gk2LtiBLMvcMcmi3hTVEv2y9fdwtBq8e4PjuE9SNn0dIPKoKacl0MHHWsO3fxVUVM6/IkAPILrdqyEvxDxt0VeHNq8N8FfXy/Kfx0sRbK97IHwKtFJcmkWpWMxqlXC+Z4ZZ6PrFTMHmS0gq07qOvKK7bsrY2Xtr4whtDX7iVRh0bQLVww4ohK6eQea/M5/3h05k1ag6vDpykJVs3bj/OR0t3UZgQhat7UxBM5d83/m5Ds9fnucuKT0G7GgmG5g5BViuvde/F6mHD+WbQENbfPYK4AJ+GxDJlPiNaRl9ZAaeKEGMx8rc1OGT+nLoDWZLVuHSRkz/XeIr1HEUOXuw9kZf7vcGTbZ7hyPZjhkPkZebr2gOW4q9Nhz1FYsVOjnhVWCo+uk8mi1juA7EsbFm8Fckl6eY0QMpGPU/86A7jec+ftJgJN05i95oCZBkmj6lJ/5otuad9E1KOV71duqqMeVT1cm6aEkhOfXxKLioql7VS1VDyC8DlRpFlFFmmWui/t/z9O7DaLIwcdRksHLMZmjeA2Cgs1SIwWKBYL2/batEb3Zx85FJ9FEXh11krdWyVpGY1eW7eGLoO6cyQ5wYz9IVb2bb3FD//vheX201IRDAvLX6OGD9So5nZhaz5Zh2OIgf2QgcXTqaRWiJ3+uHnq8FqRm6cCIKA6FQ0BoXLhDpLvG+hEklTbyjeyTWr/988oAI532CrlXqRUVhNJhbeeAdBppK+ooLA/Q3+e+mt7cMb0TSolv/BVLdu/imKouvIs2vFHtLOpOMocuAodDB/kic8Iksyk+/7kCdbPc0jTUZzeKu+HL5dv9ba6soaaNXTDn1uu8Nbj7H22w2X/N2CS9RAzUH6hLY9U/8bXzhtXMUu+0gNPc2fXo0da0JZvywcWRZIT7Uw/YWqb+Jz1YRZAN5cOp7H279Q/kaCoJtoYuA/zCRRFKTkFLXBgyRha/zv9gX8O7iuV3Ou7dmMC6nZPPPk15XfMTgQGiThl2kdE6nGoLPzjPH2AJtOtyPrfA4/TFnKkJIEFECz7k1o1l1VM3z0ha9Jy1CX018s3EpsVAgWi0kna1yKBUt3EJMYQ+rx8yofPCKId+atx2wx4S7tYVkSfxcBSVFwB3kZX+9T9eMbKJXQXR93rX/9b38ItlhZN2SE9vrNPZXTyP+3MLH+/dr/t/850TNQzQxBAkq+Wi6fUBjjlmYAACAASURBVL+6TuQs0Ls5iADBXoVBhzYf4eDGQ7hdEm6XxNzn5/Heuje08bZ9W3PHC7ey6su11GxSQ9PKATVG7l2A5na5STvrny66f91BTu49TatezXVVpACPTHuAyfd+SNP7fRrX+NwD+1YfYPsvu+g4oB0oTnDficUWjKPITOppG9Ofr4GjuPQeEUg5VfXEiKvKMw+NDOadZeMICg/AGuifEmUNCyG+tirFKyYmQFl8cR8oslwlHrwQGoI50IbVJBAcFsjt4yug+f2XQxAEqld178LIMKhrTCAr4cHIcVHaPJElmb2r/vR7CLdb0gx5KdKzCki9mEtmjpGL/NfRC4z75ilqNatJcHQIjg4NOJ+ex7lU/8JoWtMTPzUKgksyvCdFBXpmk8sYh+lcM5F+DS9fl+OJJh0r3ui/EYEi7unVkQeFIN0ZxsvLx+uGW/duSUKDEtaSou/WI5r1oRHfsv7MlCwWvrOE8ycusPu3fXz8xJwyt7UF2vx2qPrjm/W8d9c0Fry9mFcHv8nMc0/x/vkH+PD8Y+RL2bS+viVvr36N1t27as9zf2ZCkRVmPvGpakPcQ4CDPPfFYayBbkAh47wNb4+gILdyfPlLwVVlzAFaX9uET3a/x5z9k/2P92qhle0KNlvlDLkkodjtVcJ6EUSRSb+/yn82TuKjfVNJbPTvJqeqCkOGXXljIpkF5NrVNA9ZMJsMFXuyJHPxdBpb/MRWy4PLJXHqSApnD6dQkFeMWyr/wV1OPTHW5FxDib8UGagZHktmsTbjBUlhzuCbeL+//96ilUVkgP9S/eZhVc+KqHLUsCCPjkZ+IJJZmXplQUeRg7MHPWyPZR/9qvG3G3duqOVFBFEwNNlOPX4esST/4Ha6ObnXIxA34LF+CKKAIECt5km8v3kSNRoaVUG/nbhQzZ0okPSWmyKTqgLqws636a/jtLv4a/MR3AEp2j5yGcW9knZPqPdm0y55fHFsO5YAGV9XXvazevy7uOqMeXlIqB9P33u7ce5wSsUbe0Fxu5GzcjTv/HI99BHPD2DK4lHUrB9PbM0Yv1oQVyuG3NGZl9+4cqsMN6jaI8EBSO0aIifG0uK2Ltz6rIdpYC+0M77nBJ7vMYGp7/98ScdXgE8/XK6GceSSfnjlQCgj127de47QP04i5OkL0Syp+djrRpJxa0OifzyBOaMYwe4mckMKpnN5/g92ifigfX/De6ObGnuS/tuoay47Ibu/QK/IKYqiRhJQANfICB49No23Tn6LU3FzfJfK8FFkhQVvLtJVgNZpVRuzRZWAsAXZ6DzY04u3VLVTUdRitH1r9IJfoMbvvYvOQlqjC6cVKDlMfWAG376+EHf1/dodY7KCKbDUQKt/ZouJB965x69D2KK7cfXXskdzw3t/F1dVzNwbaiNndHNy9IwRfPWKV5NZRe3VUqHHLQhgtyOdTUYICUGM9hSymCwiwaGBNGtfhy2/lS+Z2+OmNpf+Ra4iNG1ek8AgE8VFlSjeugQo4GnKIAgQHoIcHkL3YV11PPItP24nrbQPZKDNSHusADkBFswmEcVsqnA/yU8OUwECD13AWS0U87F0XB08mjz2BlE4uyeA2UTUT8dImL5XswvyU1XjhXWplkSIyUKBpLqGgaKJNjH+Nej/TTQMTeRktv9ydbfi5mDBaZqF1FbfEARiEqO4cDIN+eYQ5MGh5EqF7Ck4xtRT31PoZWwVRaG4wK5pAYVEBPPaspdY8806kpok0rWk2baiKFw8laY9ayWXxJcvfE1gsI3Ogz0rTEEQaNChPsd3nUBRFEx+uuod3HhIbTPo8+y/Y0sqG56JxpEj0nZcNkPaLiI4zP/qaei4ZA5tjcDtAESBnsOKGDbhkYov5CXiqjXmADE1oshIzgLAEmAmIj6cw1u8Mt7llOwrsqxOaElSl/UWCyZkxOICGiXVpO9jN1KnSXWKCxzE1YjEarPQsGUNvpy80u/x/q/g7Sl389SjX1XZ8WRADvTP/li7/ghdr/HEmW2BVs/y1Hrpt26TTg04CsgXci7jTEEWQQqxUXBdPdxm/QPNGR8MptJEqoBQEsaRRchx+asAvHQIgsDKfvcz59guBAUebNjuXynhrwi3VuvOimz/jUFkFI4VJWvGfOvP28m+oIY25IF6a7qv8AQ3jujF6q/WIogirXq1ICLOw2hLPX6eVwdMQnJJBIUF0eK6ZoTHhSMIAq17t2DfmgNaErQ0XOJtzAFeWPA0Kz9bjbPYyVnRuNqr1TyJ0/vP4LILBHrx6c2B0PNjj9xEWYYcIKlJEdO37yIzxUa1OsVYbH3AUrlK1kvBVR1mGff5YzRsV5eajRN4evZIgsOCsFRikssFBSiFRSiFhUinzyKfPguSxLCXbuOh9+9n3LxRtL+uMdFx4STWjcNaUvYdV04isMfNrcsc+19CXHwENWpWLK5UWciWshONuT5t4ToOau8x5oJ4SV45wIEj53FGhECzpAr39dfkXjFD7o2NUQLMEBCIkfitvi7oUB3ZIiJbRaSYIBwxVceospnMPNG4E4836YTN9N/pi0VaQhlV4+Yyx5uHeKpw1YdRiZFMNOsuqbvIze7f9yGIIrIsc83gDrqH19Lpv1KUW4y90EFuRh7r5nu6gPV5oJfOFlgDrWVWmQ4ePUBXfOaN0V8/TNs+rVCiLWWWHuSdNnPxdIk+j6L4DeAFhUrUbFyExaaA+IT/A/1NXNXGvHrdeF5Z+BRv/TKe5l1VulOHG9tWsBfI6RnIF9OQM7yEnGQZk0mg++1dDOL5pWjUKomyJF4eePbf08b4p3HjwCoMJ5VTVHX6dCbJJSsvl0vix5V/Xk7dhwHu8pJPilo5LLr9f5ISYgWTqDrhKlHBgPwetci8oynZNzUkbXgLOtb9L20JdAVxbXQrPmow2u/Y2ux9vHXyGw4VnKXzTR2o16auKoLlcy8Iu4rJS8/HWezE7XDz4zR98jQoPEhlvAAmk0hAiBp+kWWZDx6aqbWUE0wCY+Y8TpveZbe1LHAbV2sCLtbv/pa9a/ZTRACFstGgb3sjgqWD4xl33SvMf2sRsuyoRHHSmYo2uCxc1cbcH7b/UiIA76cPqIbSyezWL5UvnCpfttRqs/CfBU/Quls93ft3PH79f+Vy90qhZ59mtO1QW3s98Oa/YdwrYJV8+vl6AB4e9yXfLtqCZBbVuXKFLreQkllmLF7w8dZN3rePz9dwJoVhbxgFFhOSXBWPoKsPkTb/XOqVmTvYU3CcCSc/56KSzctLxjHn2EfGax5t1iovRZNItM/K+JanB1GvdR0sNgvNujel591qkxjZLesqRkVRpGEH/0U6yUdSePPW9/hg5uu63zBAKCLKbGfv5h247E4EUaBA1ksNOPMFjs0PQbKLuOwuls1YgcN1tGJbLpdvZy4X/53rtL8BS4CF4gJ7+ZPdjySgKAq06VtxlV1sQiRPv3snToeLQ7vOEB4dTO1G/2459T8NQRB49kW9nsUtQzsy68Pf2bH1pN99wiNsdOzSiOv7NmP8U995BipIYrpdEoqikFfgxJScoXK8ryDEiznIkSGIgVZ8fR3lMmdLsK1qO8pcLRAr4eC8dfI7Pm46xtDCD0BpamPIc4NZMWcV8bXjeHjKA7pxNQH6omE/s9VMs25N2L9OZbA07FDfoPkCaqJ00pD/kJuRR3iwQr0hHrMRbFKbSUS2kxBtJTRTn68jWlTlB0qKQy1WMwV8TJEM4SKY/Oyjop6/N/82/uc8c4394PY/6cNjQnjp+2cQSiVNBQiLCeXuiXfQqmfl6UJWm4VWXer/nzPkZSEw0MbY5wcyYZJ/TZcJk4bywMM9qJnkI0bk72dyOBGS0xAychh+b1fspR2mRFXMW66kDOrlQFAULBv+wnzigp9BjLOz1AEsZyb9X1q1ecMkVGxe0l3ZLJr6E89c+5Lf8MTAJ25kxp73eeWH53XJz/LgLHZyaPNh7fXhrUc5uuO4YTvJJamSvArE3ub/WNGdJdrN9hSnKXgYqeYAhW7vZ2KLlAmPDeOpz59EYh0uBIrKc8/NV6Zm43/OM3d6C/KUeH3ebahuGNqRZt2a8PnJWRTlFnJg4yGSD6XQ6Ap2zf6/hMZNE7FYRFwuz8rHFmCieoKaNHU69RoXZjTHRoXTjWnrXyBJCILAX8t24OqvhnGkxBjE1CxcgVXv6XZpX4cTpzPIRQGnG/FQMrStpurjlxpjP7bJJMPdHVuRKztZcuBQlZ/X1Y4oUyhZUtm9eYXNxSye9jPuBhagGr5L6ryMPP7adJj4OnHUaVm7Up+pKIqm8QMqR/2t2yfz9BdP6vjdZquZDv3bsm/NAQIblPLXFUJFfeI9qp3n/2LZQpBXdrx6Zzv9H+mPWQikZpscTQe/XDJqJR5yl4P/Oc98iFeRiZyWjlIifQqAopByUo1XWQMsbFy0hc+e+ZKfpy/njcHvkHzk0oqN/j/8467heg2SlycO0f53OY0deJ4Z1Vf7X8gtUA25rIAks27+JuYuLOngYhJxXdMYWtW5ZCZLRThy/CIz376bti092hxh3+5U+4F6zs7vvgPbN6F7w9pVej7/K3igRvmVr8IFN3LnQHjLKI5GtsTYzuP58JFZvNTndWY+OcewSWZqFgfW/0VBjkc7RTSJhnJ+Z7GTjd/rOwG5ZSd3TBlA/bZ1MZeoHoeJhVhFuczbq0AJolgxIxJEkFKPTfd1ZunUVSx5/2cctoc9xy4V//wH0yX/c575jY/0ZdeKPRzZdgypoBAlKlLXGzQ8wiNduXPFHhwlEpoKatux/5Xy+38T/Qa0JqlWDEePXKBthzrUTPI0BQgJDaROvVhOnVAfqnXrx9Gpc30WdlYTVP+ZuIg9+zxL4qDwIDJ8+z5egbBFcEnMNiTcwxc2KRC2bD9CQgTCiXQyRnRQBdS80LpWdWJCQ9h1rup7Ov4voHNEU8LOBZKnFPsdl7sGwaBQsPpJOO8spjjf89tvXLSZOyfcroVbju44zlu3T0ZR1ArM99a/SXRCFAXZBTqRLVCpiXXbeCiR+7I2893FKaTOhgvboU1JsbZFVCq8vfLlYG6NWoSjyMHsw48jywqiqI8Xln4d47HK5qP/XfzPeeYAT38ximuHdaNp18aEKQ5Ve0VRwG6nxyAPdbHFtU11DQrqta3r73D/H5eBJs0TGTykvc6Ql+KNd+9g3Ms38fyEwbz+7h26sf7XN8PsJSGbfSGHKD/JK3+wWoy387MjexMeGkBEWCDX++ife6NXF3VM9GnYbSpwIB65iOCWwSkZXK1X7rgegBoR/tuAXZ0CyFWLZsFlyOOCqqpYlupFdbM+jG4SOFBwiqOFySiKws8fLsdZ7MRld1Gcb2fWaLUTmWg26RqDI8Dg0QPoO8Ij6fxd8hQAHOdAcZSnxFM2rIFWYpNiEUSB+t1zdWN2Nyh+Yy3GfqBVhf85zxzUvoLDJ93NS71fozgzD6k4ndCoUB587z7ia3uEiW555iZCokI5vf8M3W67htrN/wdbvP0XQjSJtG5X2++Y2WLC7dXr1VHk4MjJiqlcSz59FIAVaw/y+YJNWMwmXnjyRpo1SqBLew8tTUHmj016XeyaCZEMKmmEkXosVX9gr1kuOCUUH7XOsEB1pRca4L8wqGUNP+GD/2NoHFyLLQWHy96grCrt5gHIvYMQVxUhiALKoiQ+KPgJCqBJQE2ifbSPTuxRdV8Kc4oMx7rl6UF+PyNuKOSs8njjpc/qyiz+BEEgPC6M9HMZ1Gmr1985tD6CLt1zMHTzEy+jR0Al8T9pzAGO7ThO5vlsrcFvflY+P09fTtu+rTCXVIaJoki/B6//N0/z/8MHCgLS/2vvzqOjqPI9gH+rqvfO0lm6k4AJSxKI8GQzaliGECPRkIQExBFBMoCgqIOgnAw4Mw4zAgEyPBkk+JhB38RdGd+gDxFBOU/fecCggSG4IAYhQIaQFbJ2utNd9f4o6KTT3Vk7qXTl9/mvK9Xdv9S559e3bt17fxFBaBkbBcZmR/O/qjp/UxsPzBiLRQ8loLLS/UO3Xy6+F1PiY/DSnz+DubIOYWoFfvdUiuO5yq3KNe5ovrsG85TWW/XRQ1pn5gwLNuDuqKH46rLzc5fMcWO6Fb8cxQfF4a/lPdsGg19rBP+UHVpOBbOu9Uf+bPMVbFjzKL7+uBA8LwAMHEUvLE3Ow3IdzSbS3wGMOdj62o7Ok6Ly5lAJz/P48StxSLCyxPnHvOGGAjYrC6Wab/MDMRFg3f+oeEOvh1l27NiBnTt3eiMWrzKEG8C3vdUSgKvFZTh7/Jx0QZFONdtsaJkUDejUEAJ0QFznqycz7/e8ss+dSf8WhTWz4+H/j3OwHD2LX89Yj+vl4grApEenO52r8dNgzNQ4KNQK3B0YhIRRkeBYBsONBuQudH6498c5qVh6T+swXkxoEBJjaejOpDJ0flJH/DmnRH7Lj0HlyHnnWcRMGon41ElY/Z/iMnlzg3MyF3gBv0n5gzgNEXDZFVVtaO2JW/jOB8ai1UkAxM6gNkBM4tfOOQ8FMgywaf5YnD3hj2++DMDvZt8DKN/tk+c9t/S4Z15fX4/NmzfjwIEDWLZsmTdj8oqhsRFYsnURXst5w7E/Ms/z8A92P7ZJBgbOT9vhEn93Hp2T0O3vOfAfhxy9cJVGhVOHTiM5ewZmLr4X509ewLF9J6AP1GPde89h54rd4G12VF6qwIaUyQgI9Vwl5hcJkzA/fhwaLVYE6bSDdo65V123A4GcS9dTxSoQFGbArBUpiJs82vFg1N189MvfleJvW/fhsbxsWHn3D2MBoFnQQo8Gj38HgDht6+wrc534WZNmVzudY27gcKHIDxsedN6Pvy/1uGd+5MgRDB8+HEuWLOn8ZIncKL8hVmVnGWj9xCrc7ctCkYElJNzg3HvpJBkGB+rAdaFkW3sR0WGO4TaGZRDaprL6kzuX4c3SPdj93Z9w/MMTKDt/DbxdQOWlKrzz4t86/Wy1QoFgvY4SeRt/jOnZlq/Mp/VQLCyFuxVFhYf/id/N2oi/PFeAnGm/QfVVcR+f2so6cErnHrbdboe5Xky8ly0d3Z0zqLbpEMqNggZBYNv1d6fpVyFQ4brtcECE8/Ccut2dRH8Udu9xzzwrS9wVbSAOsQBAxaVK/P2l/Y4pSho/DTKfcd3cnwwsXEd76sClxCuWL+x6Xc22Fv7+YTTWNuHSt5eR+MjPPK7+Lfn2stNrd1XYSeeG6yLwzG1zsav0QwgA+I6X1Thwf77hsifOLVfePe+4u1JqlDh1uAgzFyeB5VinWrKAWFs0a3U6AOBo7d87+1akBeUCABrsFTjT9AFYRoUJuoegYd2vQj32ejgmza52tM/qUg3arksQ+mF/nk6T+cGDB7F582anYyNHjkRBQUGvvjgkpOfDHUajm13k22mqqgXb5tfQ3mLr0vt8lVz+t9DQjtvFK5sXIGfDf6HJbMWU+GikJt/htmfe2fUQQv2QMGsiGF6AaYgBoaF+bnvSQUbnIRW1RuWz11rquOcap2DuaLEO56XGcjxzIh+1Huaf3yLoGAgJejfrtQSoRqigbFSDfVgNrpFB5PhwKAMB3m4Fp+Zgt4gJ3WAKxBs/5UOr18Bsa0J1WanL97Q1O3yZ41oZ4Y8RWOv5ZBYAD5ScCsCbv4xB4rIylH6jxz/euB2AcxHovr7+nSbz1NRUpKamev2Lq6sbxKfQ3WQ0+nucqdCWNiQAd6XdiRP//TUABos2LujS+3xRV6+Jrwsx6BAWEoCClxbDYrVBq1GipqbR5byuXI9j+05gz7MFsJitOPX5GbTwcFvw1zjc5FTRKiJ2iE9e64HWRnTQ4dU7foWHzvzB7d81UKEZVtjzwwFt+x9rHoFqC5qXC1AxAYASYMDgJfZ14GuAt9hhv1X3jwVuVNVi9c9eQM5bq3EEf+0wriHsKMQyU7t+rdrcYBQdMKLogDj1+a60OHx9awdXABq9utfXn2WZDjvBslw0BIjTkZ7KX47tJ7bilW+2Y+rc7j8kIwPLqJEmAGKj1vayvur5Uxccq38tZiuKC39ye17SwukICAmA1l8Drb8Wcz3MVyY9kxIU7/b4bNPNH9YgBaBpLUTCQICes4h7nmkYMGpGHI9uk8nYIRw0WwxgYjjxh5gXh8veeXEvLtpOe4wlhovHI2HPe+X/slltWLxlIbT+GhgjQ7Hp89975XM7Itt55rcER3ivKg6Rlp/eexV7bk8YhUN7PocgCGBZBnfe775SVHBEEP701RZcLS6DabgJfoa+W449GC2PTMPh64VOx7LDUlBqcV0oxoKHv9rSpc9V3KmCkKmDJb8esIt7nDfU1bntvY5TJ2Oc3zSEqYZ3O359kB6N113vDmsr65CyJBkpS/pvHUuvk/nKlSu9EUefOPLmF/hg64fwD/HHqlefwtBY2q7WF/jplGhocn3qVV3T8ZSx7jj1WZHYm7MDnIJDbWWdx3M1eg1GThjh8e+kd2I0Q3C+WVx5q2VUeMB4F5749iWX85Scze0uxJ4oktWwvtsI4boADacGu8H9KtSZwY/2NHSPsVgt3qn72h2yHWa5drEcb/72XdRW1qH03L/w8rJXpA6JdNH6Ne6HMpRu9l7pKXO9uXWGAcu4LDQh/Wd9zC+wIDwZc4zTsD3uaShZBUJVrnP5OaZ7z9gYfxaKdC2YAAZjpsYBStcOQrymd88DzfVNmPvqBQTc5nzHEBDc/w+bZZvMG2oaxLqCACDAsfqLDHzRUSa3x7NSvVd7dO6aTOj8tVDr1AgOD8K0eZO99tmkezSsCnNM07AgIhkhSjGJb4x5zOU8povTGW+xFVrR8kYjhHIe5y7/023xi8Sgn/co5lvueqwW0TOawNucu+gav74roOKJbMfMR4wfjqixkbj83RXwdh7zfuW5WjjxDcOGuu7A2FNRY25D/ul/R03ZdZiGGT0W8SbSUClcH3B3dw2WUN4619z0hJjLvb10J3GlOGNeHWhHQ5viVFJspS3bFswpOLywby0uFpXAL9gP4SNo9zpfEmH0R1m7qVwade9msLSn0WswJIaeowxU9xkm4fMbpxyvLTZA0Y0iU9wUNZBfD1bBQuFvd0nkK0J7v+DRTxuDer4Uscn1uHFRBbuVA6fmEZvY/6lVtsMsgJjQY+6MpkTug3a8OB+6m9vNsgzwl60Lvf4djbVNOHvsHCzmrs2QIP3riagMGJnWsXN7d/ue9TzQIs5kEVx3xYVe2ft9mgK56QADTFtVgXueqMKI6fWYlVeKiPjyXn92d8m2Z058m0LB4a2XXcdNveXs8XPYOCdPnJrIsdj6xYsYOsp1zw0irQ2jH8OKH7YDAHjBpWJsh+w/2MR90CGA0TgPsyjhnTqyHCPuCMkqgGmrW6dTNvMXvPL53SHrnjkhnrya87pjK1TezuP1374jcUTEnRBVAHaOXonUkLvxkGkGsgz3dfm97O0ccPOmSz/eecy9BR42fOmmAMXd7r+b6Vp1LG+injkZlFQa556ZWuudnhrxvnB1MJYObZ1COMuUDOHm1JQVxb/2+L7oG1H4UdUIa7O1z7YR5zj37SaAndo3X9gB6pmTQWnVnicd9V91gTo8vn2pxBGRrmIYBizDgmXcpy9/Vo/MkJlIDU5yLN6pP92626YgAJE2z/VgvUHFhXZ+kpdRz5wMSuEjwlBQslvqMEgvqaGCBc6rLRP8JyItJBn/U/a/jrnl51cAsXsAfRzQcBpQXRoNPNd3cSkZ702j7SpK5oQQn/VgaCreqfrI6VijXdxW96fTF1sP2hkUt7n50ied79vAhP5fNETDLIQQnzXdcI/LsbNmMVFPTB7v8X0BoX273J5haJ45IYR0Gcu6prAGu7iLYcyd0dAmc4j8Px3QLncveH6O12LQY4bLMRUX7LXP7ypK5oQQWRmiEhcJsioGxk1qsCrGaTYLp2Rhbe76fPXOxPrlQYlox+uRKmlKadKYOSHEp4UywagSahyvVwwRt7RV6jkwNWIWZ3WA/eYux4JdQIiX6xyM9XvXq5/XE5TMCSE+bX30arxfsR9VLTXIDE1BiEpM1GpW41jyybfd5odj0NxkgU6n6f9g+xAlc0KIT1OzKmSHP+hyvG2BblbPwN4ozlMUGB52lfeGWQYKGjMnhMheaK4abDDAaADDU0pwMtx7j3rmhBDZ04zjEPlpa/1Wpq/W90uIeuaEENlSw/3inQiN/HbIpGROCJGtACbQ7XEl591CJwMBJXNCiGzZu1k31JdRMieEyFZG0FypQ+g3lMwJIbIV53+H1CH0G0rmhBAiA5TMCSFEBiiZE0JkbZr/vU6v5wUtlCiSvtXjRUMnT55Ebm4ubDYbDAYDcnNzMXToUG/GRgghvZYWPAcj1NEobv4BE/R3YZhmhNQh9Yke98xzcnKwadMmfPTRR8jIyMDGjRu9GRchhHjNGP04ZIb8XLaJHOhhMrdarVi1ahXi4sSiqKNHj0ZZWZlXAyOEENJ1PUrmKpUKmZmZAACe55Gfn4/77rvPq4ERQgjpOkYQBKGjEw4ePIjNmzc7HRs5ciQKCgpgtVqxbt061NbWYvfu3VAq5bdElhBCfEGnydyTxsZGPPnkkzAYDNi2bRtUKlW33l9d3QCe7/5XG43+qKys7/zEQYSuiTO6Hq7omjjzxevBsgxCQvw8/72nH5yTk4Nhw4Zhx44d3U7khBBCvKtHUxO///57HDlyBDExMcjKygIAmEwm7Nmzp8ufwbI930+4N++VK7omzuh6uKJr4szXrkdn8fZ4mIUQQsjAQStACSFEBiiZE0KIDFAyJ4QQGaBkTgghMkDJnBBCZICSOSGEyAAlc0IIkQFK5oQQIgOUzAkhRAZ8Kpnv378fs2bNwsyZM/H2229LHY7ksrOzkZaWhszMTGRmZqKoqEjqkCTR0NCA9PR0lJaWAgCOHTuGjIwMpKSkYPv27RJHJ4321+T5559HSkqKo6189tlnEkfYv/LzRM90eAAAAz5JREFU85GWloa0tDTk5eUBkGE7EXzEtWvXhKSkJOH69etCY2OjkJGRIRQXF0sdlmR4nhemTp0qtLS0SB2KpE6fPi2kp6cLY8eOFa5cuSKYzWYhMTFRuHz5stDS0iIsXbpU+OKLL6QOs1+1vyaCIAjp6elCeXm5xJFJ4+jRo8LDDz8sWCwWwWq1CtnZ2cL+/ftl1058pmd+7NgxJCQkwGAwQKfT4f7778enn34qdViSuXDhAhiGwfLlyzF79my89dZbUockib1792L9+vUwmUwAgDNnzmDYsGGIjIyEQqFARkbGoGsn7a9JU1MTrl69ihdeeAEZGRl4+eWXwfO8xFH2H6PRiHXr1kGlUkGpVCI6OholJSWyayc+k8wrKipgNBodr00mE8rLyyWMSFp1dXWYPHkydu3ahYKCArz33ns4evSo1GH1u02bNiE+Pt7xmtqJ6zWprq5GQkICcnNzsXfvXhQWFuKDDz6QMML+FRsbiwkTJgAASkpK8Mknn4BhGNm1E59J5oKbzR0Zxre2sPSmiRMnIi8vDzqdDsHBwZg3bx6+/PJLqcOSHLUTV5GRkdi1axdCQkKg1WqxaNGiQdlWiouLsXTpUqxduxZRUVEuf/f1duIzyTwsLAxVVVWO1xUVFY7byMGosLAQx48fd7wWBAEKRY+2p5cVaieuzp07h0OHDjleD8a2cvLkSSxevBhr1qzBnDlzZNlOfCaZT5kyBcePH0dNTQ3MZjMOHz6M6dOnSx2WZOrr65GXlweLxYKGhgbs27cPM2fOlDosyY0fPx4XL17EpUuXYLfb8fHHHw/qdgKIyTs3Nxe1tbVoaWnB+++/P6jaSllZGZ5++mls27YNaWlpAOTZTnzm5zksLAzPPvsssrOz0dLSgnnz5mHcuHFShyWZpKQkFBUVISsrCzzPY8GCBZg4caLUYUlOrVZjy5YtWLlyJSwWCxITE/HAAw9IHZak4uLi8Pjjj+ORRx6BzWZDSkoK0tPTpQ6r37z22muwWCzYsmWL49j8+fNl106o0hAhhMiAzwyzEEII8YySOSGEyAAlc0IIkQFK5oQQIgOUzAkhRAYomRNCiAxQMieEEBmgZE4IITLw/78lRJuawXT+AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ " from sklearn.cluster import DBSCAN\n", "clustering = DBSCAN(eps=0.1, min_samples=20).fit(X)\n", "labels = clustering.labels_\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, s=10, cmap='viridis')" ] }, { "cell_type": "code", "execution_count": 101, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 378 }, "colab_type": "code", "id": "dPMpZIkFrRGA", "outputId": "859a1688-90f4-44c6-941c-63ba5528da7b" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Compute structured hierarchical clustering...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/manuel/visiont3lab-github/public/tecnologie_data_science/env/lib/python3.6/site-packages/sklearn/cluster/_agglomerative.py:247: UserWarning: the number of connected components of the connectivity matrix is 631 > 1. Completing it to avoid stopping the tree early.\n", " affinity='euclidean')\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Number of points: 8000\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 101, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#https://scikit-learn.org/stable/auto_examples/cluster/plot_ward_structured_vs_unstructured.html#sphx-glr-auto-examples-cluster-plot-ward-structured-vs-unstructured-py\n", "# #############################################################################\n", "# Define the structure A of the data. Here a 10 nearest neighbors\n", "from sklearn.neighbors import kneighbors_graph\n", "from sklearn.cluster import AgglomerativeClustering\n", "connectivity = kneighbors_graph(X, n_neighbors=2, include_self=False)\n", "\n", "# #############################################################################\n", "# Compute clustering\n", "print(\"Compute structured hierarchical clustering...\")\n", "ward = AgglomerativeClustering(n_clusters=3, connectivity=connectivity,\n", " linkage='ward').fit(X)\n", "label = ward.labels_\n", "print(\"Number of points: %i\" % label.size)\n", "plt.scatter(X[:, 0], X[:, 1], c=label, s=10, cmap='viridis')" ] }, { "cell_type": "code", "execution_count": 102, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 268 }, "colab_type": "code", "id": "prT8GV3NbED_", "outputId": "d5b1bf53-5ccc-4054-be50-45135a1a3373", "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=10, cmap='viridis')\n", "centers = kmeans.cluster_centers_\n", "plt.scatter(centers[:, 0], centers[:, 1], c='red', s=200, alpha=0.5);" ] }, { "cell_type": "code", "execution_count": 103, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 286 }, "colab_type": "code", "id": "aifwUQcGc59U", "outputId": "fa4e3a77-c718-4fbf-e732-e810de931d99" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import SpectralClustering\n", "model = SpectralClustering(n_clusters=len(peaks), affinity='rbf',\n", " assign_labels='kmeans')\n", "labels = model.fit_predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, s=10, cmap='viridis')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "YZvPh7G_Xryv" }, "source": [ "## Example: k-means on digits " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Classificazione usando LogisticRegression e RandomForest" ] }, { "cell_type": "code", "execution_count": 212, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9733333333333334" ] }, "execution_count": 212, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_digits\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.ensemble import RandomForestClassifier\n", "from sklearn import preprocessing\n", "\n", "# Quando usiamo LogisticRegression è importante applicate Standard Scaling come preprocessing\n", "X_digits, y_digits = load_digits(return_X_y=True)\n", "X_train, X_test, y_train, y_test =train_test_split(X_digits, y_digits)\n", "scaler = preprocessing.StandardScaler().fit(X_train) # mean 0 , std=1\n", "X_train_sc = scaler.transform(X_train)\n", "X_test_sc = scaler.transform(X_test)\n", "\n", "#clf = LogisticRegression(random_state=42)\n", "clf = RandomForestClassifier() #max_depth=10, random_state=0)\n", "clf.fit(X_train_sc, y_train)\n", "clf.score(X_test_sc, y_test) " ] }, { "cell_type": "code", "execution_count": 211, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9733333333333334" ] }, "execution_count": 211, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Logistic Regression\n", "from sklearn.pipeline import Pipeline\n", "from sklearn.cluster import KMeans\n", "pipeline = Pipeline([\n", " (\"standard_scaling\", preprocessing.StandardScaler()),\n", " (\"log_reg\", LogisticRegression()),\n", " ])\n", "pipeline.fit(X_train, y_train)\n", "pipeline.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Classificazione usando Kmeans" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Qui tenteremo di usare KMeans per identificare cifre simili.Questo potrebbe essere simile a un primo passo per estrarre significato da un nuovo set di dati per il quale non si dispone di informazoni sul numero associato alle immagini. Ricordiamoci che il dataset digits è costituito da 1.797 immagini di dimensione 8 × 8=64" ] }, { "cell_type": "code", "execution_count": 213, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "Iwz2HlPjXryw", "outputId": "381913b7-e742-4653-f2d7-cec31282dde6" }, "outputs": [ { "data": { "text/plain": [ "(1797, 64)" ] }, "execution_count": 213, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "digits.data.shape" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "h3-je_nBXry2" }, "source": [ "The clustering can be performed as we did before:" ] }, { "cell_type": "code", "execution_count": 214, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "Ra3dYOKRXry3", "outputId": "0cfc0891-ce90-44ee-cb09-5c74ba33ef55" }, "outputs": [ { "data": { "text/plain": [ "(10, 64)" ] }, "execution_count": 214, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans = KMeans(n_clusters=10, random_state=0)\n", "clusters = kmeans.fit_predict(digits.data)\n", "kmeans.cluster_centers_.shape" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "jpyw2ewOXry7" }, "source": [ "The result is 10 clusters in 64 dimensions.\n", "Notice that the cluster centers themselves are 64-dimensional points, and can themselves be interpreted as the \"typical\" digit within the cluster.\n", "Let's see what these cluster centers look like:" ] }, { "cell_type": "code", "execution_count": 215, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 194 }, "colab_type": "code", "id": "D0xi_7AvXry8", "outputId": "ead47c30-d121-4fd5-e670-830d420fb92b" }, "outputs": [ { "data": { "image/png": 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JiYlSbrhRT8D58MMP3cyzzz7rZhYtWiTNKy4udjPvvvuutNaIESOkXDxcvXpVyq1fv97NKKfy1NbWSvOqqqrczHA8USoE/XtceW+uWLHCzXR0dEjzlOfV29srrTVQXEkCAGCgJAEAMFCSAAAYKEkAAAyUJAAABkoSAAADJQkAgGHQ+yRVyp3NCwsL3Yy6TzIzM1PK3ciysrLczLhx49xMcnLyUDydG56yT3TMmDFupqioSJo3fvx4N6N87qJG3Zean5/vZpTXMjc3V5qnPq8bmfJ+Ur5TOjs7pXnp6eluJhaLSWsNVKxP3ZkOAMD/Gf40AgDAQEkCAGCgJAEAMFCSAAAYKEkAAAyUJAAAhn8BXeFf3qBZCCQAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 5, figsize=(8, 3))\n", "centers = kmeans.cluster_centers_.reshape(10, 8, 8)\n", "for axi, center in zip(ax.flat, centers):\n", " axi.set(xticks=[], yticks=[])\n", " axi.imshow(center, interpolation='nearest', cmap=plt.cm.binary)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "JkoymCw2XrzA" }, "source": [ "We see that *even without the labels*, ``KMeans`` is able to find clusters whose centers are recognizable digits, with perhaps the exception of 1 and 8.\n", "\n", "Because *k*-means knows nothing about the identity of the cluster, the 0–9 labels may be permuted.\n", "We can fix this by matching each learned cluster label with the true labels found in them:" ] }, { "cell_type": "code", "execution_count": 216, "metadata": { "colab": {}, "colab_type": "code", "id": "cQ-v3PjhXrzB" }, "outputs": [], "source": [ "from scipy.stats import mode\n", "\n", "labels = np.zeros_like(clusters)\n", "for i in range(10):\n", " mask = (clusters == i)\n", " labels[mask] = mode(digits.target[mask])[0]" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "k_xmPLdYXrzE" }, "source": [ "Now we can check how accurate our unsupervised clustering was in finding similar digits within the data:" ] }, { "cell_type": "code", "execution_count": 217, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "mUw6W7-OXrzF", "outputId": "5412871d-a526-490b-f340-2b70ac7dfc7a" }, "outputs": [ { "data": { "text/plain": [ "0.7952142459654981" ] }, "execution_count": 217, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import accuracy_score\n", "accuracy_score(digits.target, labels)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vNrYIBI2XrzJ" }, "source": [ "With just a simple *k*-means algorithm, we discovered the correct grouping for 80% of the input digits!\n", "Let's check the confusion matrix for this:" ] }, { "cell_type": "code", "execution_count": 218, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 285 }, "colab_type": "code", "id": "z8uahiO-XrzL", "outputId": "a2cdee88-9034-41ca-e6d7-2edda8237bec" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import confusion_matrix\n", "mat = confusion_matrix(digits.target, labels)\n", "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False,\n", " xticklabels=digits.target_names,\n", " yticklabels=digits.target_names)\n", "plt.xlabel('true label')\n", "plt.ylabel('predicted label');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Ai0Vog34XrzO" }, "source": [ "As we might expect from the cluster centers we visualized before, the main point of confusion is between the eights and ones.\n", "But this still shows that using *k*-means, we can essentially build a digit classifier *without reference to any known labels*!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Classificazione usando TSNE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just for fun, let's try to push this even farther.\n", "We can use the t-distributed stochastic neighbor embedding (t-SNE) algorithm (mentioned in [In-Depth: Manifold Learning](https://github.com/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.10-Manifold-Learning.ipynb) to pre-process the data before performing *k*-means.\n", "t-SNE is a nonlinear embedding algorithm that is particularly adept at preserving points within clusters.\n", "Let's see how it does:" ] }, { "cell_type": "code", "execution_count": 221, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "akCVdZlGXrzP", "outputId": "88aaf5d5-e774-4747-d2c4-9320fa31adbe" }, "outputs": [ { "data": { "text/plain": [ "0.9371174179187535" ] }, "execution_count": 221, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.manifold import TSNE\n", "\n", "# Project the data: this step will take several seconds\n", "tsne = TSNE(n_components=2, init='random', random_state=0)\n", "digits_proj = tsne.fit_transform(digits.data)\n", "\n", "# Compute the clusters\n", "kmeans = KMeans(n_clusters=10, random_state=0)\n", "clusters = kmeans.fit_predict(digits_proj)\n", "\n", "# Permute the labels\n", "labels = np.zeros_like(clusters)\n", "for i in range(10):\n", " mask = (clusters == i)\n", " labels[mask] = mode(digits.target[mask])[0]\n", "\n", "# Compute the accuracy\n", "accuracy_score(digits.target, labels)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "J4sxkhaTXrzT" }, "source": [ "That's nearly 92% classification accuracy *without using the labels*.\n", "This is the power of unsupervised learning when used carefully: it can extract information from the dataset that it might be difficult to do by hand or by eye." ] } ], "metadata": { "anaconda-cloud": {}, "colab": { "collapsed_sections": [ "3rlRlkKz02HI", "HNZt2fpg2dWT", "UxgJQVsJ2f9b", "sSkjbrDm-b1j", "qiazWI1z8RSO", "yZIItJHJyFlF", "6JCpy9kbzmw7", "ze-UpWVF2Zxv" ], "name": "K-Means.ipynb", "provenance": [], "toc_visible": true }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 1 }