{"cells":[{"cell_type":"markdown","source":"# Recordemos\n\n\nExisten dos tipos de metodos para hacer **clustering**\n1. Los que permiten obtener una partición directa mediante un algoritmo, entre los que el más conocido y utilizado es el K-means.\n2. Los que construyen una sucesión de particiones anidadas, que se representan mediante un árbol o dendrograma, se conocen como métodos de clasificación jerárquica. Los más utilizados son los de **clasificación jerárquica aglomerativa**, que parten de todos los individuos, como n clases de un elemento, los que se van uniendo en pasos sucesivos hasta llegar a un solo grupo o clase de n individuos.","metadata":{"id":"AHvAHkTPMm4g","cell_id":"bf1d0055dda14f84bbf97ca1e1bd53f4","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Agrupación jerárquica\n\nEl agrupamiento jerárquico (también llamado análisis de agrupamiento jerárquico o HCA) es un método de análisis de agrupamiento que busca construir una jerarquía de agrupamientos. Las estrategias para la agrupación jerárquica generalmente se dividen en dos tipos:\n\n**Aglomerativo:** se trata de un enfoque \"de abajo hacia arriba\": cada observación comienza en su propio grupo y los pares de grupos se fusionan a medida que se asciende en la jerarquía.\n\n**Divisivo:** se trata de un enfoque \"de arriba hacia abajo\": todas las observaciones comienzan en un grupo y las divisiones se realizan de forma recursiva a medida que uno se mueve hacia abajo en la jerarquía.\n\nEn general, las fusiones y divisiones se determinan de manera codiciosa. Los resultados de la agrupación jerárquica generalmente se presentan en un dendrograma.\n\n","metadata":{"id":"77M6TV4nyRoj","cell_id":"0eac1569b0c545ad8a90a9ab7b32a70d","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"Los más usados son los __aglomerativos__, conocidos en la literatura de Ciencias Naturales, como métodos de clasificación ascendente jerárquica aglomerativa (Sokal & Sneath 1963).\n\nEstos métodos requieren de un índice de:\n1. similitud\n2. disimilitud o distancia entre individuos. \n\nSe dispone de unos cuantos en la literatura dependiendo del tipo de variables y de las aplicaciones. En nuestro contexto se selecciona la distancia Euclidiana canónica.\n\nAl conformar grupos se necesita definir una distancia entre ellos, que se denomina __criterio de agregación__ y que le da nombre a un método especifico. \n\nLas mas sencillas son el de enlace simple y enlace completo. El primero define la distancia como la que hay entre los **dos individuos más cercanos cada uno de diferente grupo** y el segundo entre los **dos individuos más lejanos**.","metadata":{"id":"0IX1X8rSNeJw","cell_id":"c768c8282f094e46ad2d76fc9da8f972","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Algoritmo para metodo aglomerativo\n\n1. Seleccionar y calcular un **índice de disimilitud** entre individuos.\n2. Seleccionar un **criterio de agregación o disimilitud** entre grupos.\n3. Construir el árbol de clasificación o jerarquía de particiones indexadas:\n\na) Buscar el menor valor en $D$: $d_{il}^0$: grupo $I_{il}^0$.\n\nb) Calcular los índices de disimilitud entre $I_{il}^0$ y los demás individuos.\n\nc) Eliminar las filas y columnas i y l e incluir la fila y columna $I_{il}^0$, para colocar las disimilitudes.\n\nd) Volver a 3a y repetir hasta tener un solo grupo de n individuos","metadata":{"id":"Qhe7EfXyOfUL","cell_id":"c09802488ff5417d8a10d96517f719f4","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Agunas definiciones\n\nLas **medidas de similitud** evalúan el grado de parecido o proximidad existente entre dos elementos\n\nLas **medidas de disimilitud** ponen el énfasis sobre el grado de diferencia o lejanía existente entre dos elementos. Los más altos indican mayor diferencia o lejanía entre los elementos comparados.\n\nA un **índice de similitud** se le puede asociar un **índice de disimilitud** mediante la siguiente ecuación:\n\n$$d(i,l)= s_{max} -s(i,l)$$\n\n__Medidas de distancia__ La distancias entre dos individuos i y l se calculan a partir de filas respectivas de la matriz $X$, cuyas columnas son $p$ variables cuantitativas\n\n\n\n\n\n\n","metadata":{"id":"_-jpR2hbP8t2","cell_id":"46365ec895e4408297258a0b815b1505","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"__Criterios de agregación__ selección de una\nsimilitud, disimilitud o distancia entre grupos.\n\nHay dos tipos:\n\n__Enlace simple:__ La distancia entre dos grupos A y B es igual a la distancia de los dos individuos de diferente grupo más cercanos\n$$d(A,B)= min[d(i,l); i \\in A; l \\in B]$$\n\nEste criterio tiende a producir grupos alargados (efecto de encadenamiento), que pueden incluir elementos muy distintos en los extremos.\n\n__Enlace completo:__ La distancia entre dos grupos A y B es igual a la distancia de los dos individuos de diferente grupo más alejados\n$$d(A,B)= max[d(i,l); i \\in A; l \\in B]$$\n\nTiende a producir grupos esfericos\n\n\n\n","metadata":{"id":"G4eau31HRlQN","cell_id":"e452e526224148e883c4f5c5dc1ab3ef","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Ejemplo de construccion de dendograma\n\nPara entender el proceso de construcción de un árbol usaremos un ejemplo de puntos sobre un plano, con la __distancia de Manhattan__ entre puntos y el __enlace completo__ como criterio\nde agregación, es decir, la distancia entre grupos\n\n__Pasos__\n\n1. Se unen los puntos d y e a una distancia de. Se tiene ahora una partición en 5 clases.\n2. Se calculan las distancias entre el grupo de y los demás puntos. La matriz pierde una fila y una columna. La distancia de __enlace completo__ entre dos grupos corresponde a la de los __dos puntos más alejados__, uno de cada grupo. Por ejemplo la distancia entre de y a es la de a y e (5), porque e está más alejado de a que d. Se unen a y b a una distancia de 2, y se forma una partición en 4 clases.\n3. Se calculan las distancias de enlace completo entre el grupo ab y los demás puntos y grupos. Se une c al grupo ab a una distancia de 2. Ahora la partición es en 3 clases.\n4. Se calculan las distancias de enlace completo entre el grupo abc con el grupo de y el punto f. Se une f al grupo de a una distancia de 3, la partición tiene dos clases\n5. La distancia de enlace completo entre los grupos abc y def es de 7, finalmente se unen estos dos grupos y todos los puntos quedan en una clase.\n\n","metadata":{"id":"uDLzwWgyTZm7","cell_id":"19c52c76f5e8439cbdaa77ddb080551a","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"","metadata":{"id":"S51zd3JXUfK2","cell_id":"47ff590b09244f5a92603a2cfe74d0f8","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Método de Ward\n\nPara lograr grupos que tengan __inercia mínima intra-clases__ se debe utilizar una distancia\nEuclidiana y unir en cada paso del procedimiento los dos grupos que aumenten menos la __inercia intra-clases__, que corresponde al método de Ward (Ward 1963, Wishart 1969).\n\nSi tenemos los 3 grupos de abajo para un proceso de __clasificación jerárquica con el método de Ward__, hay que tomar la decisión de cual de las tres parejas de grupos unir. Es decir qué unión es la que causa menos incremento en la __inercia intra grupos__. El incremento de inercia al unir A y B es $I_{AB} - I_A - I_B$. A estos incrementos los llamaremos distancias de Ward entre grupos y la __notaremos W__, entonces hay que calcular $W(A,B), W(A,C) , W(B,C)$ y la menor de ellas determinará los grupos a unir\n\n\n\n","metadata":{"id":"ol-X5JirWcFN","cell_id":"d9824523410248a193965daacb6a9ce3","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Notacion\n\nSean A y B dos grupos o clases no vacías y disyuntas y sean $p_A, p_B, g_A, g_B, I_A, I_B$ los pesos, centros de gravedad e inercias de los grupos A y B respectivamente\n\n$$Inercia-entre(A,B)=p_A d^2(g_A, g_{AB})= p_A ||g_A -g_{AB}||^2 + p_B ||g_B - g_{AB}||^2$$\n\n\nSi reemplazamos $g_{AB}= \\frac{1}{p_A +p_B} (p_A g_A +p_B g_B)$\n\n$$W(A,B)= \\frac{p_A p_B}{p_A + p_B} d^2(g_A, g_B)$$\n\n__Es el incremento de inercia intra-grupos al unir los grupos A y B__\n\nPara los individuos cualesquiera i, l la W es:\n\n$$W(i,l)= \\frac{p_i p_l}{p_i +p_l} d^2 (i,l)$$\n\nSi los pesos son iguales $1/n$ para los individuos se tiene:\n$$W(i,l)= \\frac{1}{2n} d^2 (i,l)$$\n\n\n\n\n\n\n\n\n\n\n","metadata":{"id":"BcOixkWkXc5D","cell_id":"a64bd8899c9c4036a5bb302e6255d5b6","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"import numpy as np \nimport pandas as pd \nimport matplotlib.pyplot as plt \nimport seaborn as sns\n\nimport plotly as py\nimport plotly.graph_objs as go\n\nimport warnings\nwarnings.filterwarnings('ignore')\n\nfrom sklearn import preprocessing \nimport scipy.cluster.hierarchy as sch\nfrom sklearn.cluster import AgglomerativeClustering ","metadata":{"id":"DZP-cmFxy-nR","cell_id":"004629fb429b4f5b897d811ae82de0a8","deepnote_cell_type":"code"},"outputs":[],"execution_count":null},{"cell_type":"code","source":"from google.colab import drive\nimport os\ndrive.mount('/content/gdrive')\n# Establecer ruta de acceso en drive\nimport os\nprint(os.getcwd())\nos.chdir(\"/content/gdrive/My Drive\")","metadata":{"id":"cuWp7iuczFuc","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"55ebf45efedf47db8b6bc59c78798653","outputId":"b18f361c-b7c9-4228-b5c1-500da6d2f79a","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","name":"stdout","text":"Mounted at /content/gdrive\n/content\n"}],"execution_count":null},{"cell_type":"code","source":"%cd '/content/gdrive/MyDrive/Diplomado Python Análisis y Visualización de Datos/Modulo 5. Aprendizaje No Supervisado'","metadata":{"id":"rMfimSQAzKpw","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"f6c39639220a4f9fa8509ffcd532f9b2","outputId":"71559bbc-8d42-4bf0-ed88-da05538a6f52","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","name":"stdout","text":"/content/gdrive/MyDrive/Diplomado Python Análisis y Visualización de Datos/Modulo 5. Aprendizaje No Supervisado\n"}],"execution_count":null},{"cell_type":"markdown","source":"# Ejemplo 1","metadata":{"id":"QYQ7LpI23WOC","cell_id":"fb40df332ff94b7f8f90074291f0a08b","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Data","metadata":{"id":"leu2pLgmzPY9","cell_id":"3175792f92ad46be81add310484ca771","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"df = pd.read_csv('Mall_Customers.csv')\ndf.head()","metadata":{"id":"jgvJukjizQNK","colab":{"height":202,"base_uri":"https://localhost:8080/"},"cell_id":"62baca49b7c142aba60854744179709d","outputId":"35d6ea86-1845-4c0d-b813-8f6efc4ed82f","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n
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CustomerID
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Gender
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Age
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Annual Income (k$)
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Spending Score (1-100)
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0
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1
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Male
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19
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15
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39
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Male
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21
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15
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81
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3
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Female
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20
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16
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6
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Female
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23
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16
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77
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Female
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31
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17
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40
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","text/plain":" CustomerID Gender Age Annual Income (k$) Spending Score (1-100)\n0 1 Male 19 15 39\n1 2 Male 21 15 81\n2 3 Female 20 16 6\n3 4 Female 23 16 77\n4 5 Female 31 17 40"},"metadata":{},"execution_count":4}],"execution_count":null},{"cell_type":"code","source":"df.isnull().sum()","metadata":{"id":"vA9YxF6LzT7O","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"ce3054b78d5e4786864688674aa4c6a2","outputId":"e239e901-9ab9-483e-8c76-4b6356fa0b1f","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"CustomerID 0\nGender 0\nAge 0\nAnnual Income (k$) 0\nSpending Score (1-100) 0\ndtype: int64"},"metadata":{},"execution_count":5}],"execution_count":null},{"cell_type":"code","source":"df.describe()","metadata":{"id":"vQXaIf_azXOP","colab":{"height":294,"base_uri":"https://localhost:8080/"},"cell_id":"09116930c83f442783918085f9bf3663","outputId":"59ea6908-3e78-45fe-9353-b0c254ea9890","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
"},"metadata":{"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"# Scatterplot","metadata":{"id":"qGjVL3gJj8V-","cell_id":"4cbe838a23864a5790ba6bddbe8a35b0","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"plt.figure( figsize = (12 ,6))\nplt.subplot(121)\nsns.scatterplot(df.Age,df['Annual Income (k$)'])\nplt.subplots_adjust(hspace = 0.3 , wspace = 0.3)\nplt.subplot(122)\nsns.scatterplot(df['Annual Income (k$)'],df['Spending Score (1-100)'])","metadata":{"id":"G6lP5iqlj9iq","colab":{"height":405,"base_uri":"https://localhost:8080/"},"cell_id":"cd6978015177417fa1ee9c4ba0306b57","outputId":"c6586b9e-3c47-49d5-bfea-6948e7b5d711","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":""},"metadata":{},"execution_count":15},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":"
"},"metadata":{"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"# Dendrograma","metadata":{"id":"wqaIuAJY0MwS","cell_id":"4bbf0f8b380c4c5ea3071a717562b185","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"- Los dendrogramas ayudan a mostrar progresiones a medida que se fusionan los grupos\n- Un dendrograma es un diagrama de ramificación que demuestra cómo se compone cada grupo al ramificarse en sus nodos secundarios.\n\n- Los dendrogramas son diagramas de ramificación que muestran la fusión de grupos a medida que nos movemos por la matriz de distancias.","metadata":{"id":"uW7TdqEf4m2R","cell_id":"63dcd848032b406482bdc70cef9c676c","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"df=df.drop(columns=['CustomerID','Gender'])\ndf.head()","metadata":{"id":"YUroS30NptcM","colab":{"height":202,"base_uri":"https://localhost:8080/"},"cell_id":"bd3845e8e2ba4d828b6c068097346739","outputId":"a835593a-e3c8-497e-ad71-3b50e7cc4f83","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n
\n \n
\n
\n
Age
\n
Annual Income (k$)
\n
Spending Score (1-100)
\n
\n \n \n
\n
0
\n
19
\n
15
\n
39
\n
\n
\n
1
\n
21
\n
15
\n
81
\n
\n
\n
2
\n
20
\n
16
\n
6
\n
\n
\n
3
\n
23
\n
16
\n
77
\n
\n
\n
4
\n
31
\n
17
\n
40
\n
\n \n
\n
","text/plain":" Age Annual Income (k$) Spending Score (1-100)\n0 19 15 39\n1 21 15 81\n2 20 16 6\n3 23 16 77\n4 31 17 40"},"metadata":{},"execution_count":16}],"execution_count":null},{"cell_type":"code","source":"plt.figure(1, figsize = (16 ,8))\ndendrogram = sch.dendrogram(sch.linkage(df, method = \"ward\",metric='euclidean',),\n orientation='top',# Diferentes formas: right, left, bottom, top\n ) # Si eligen del metodo de Ward deben usar euclidean\n\nplt.title('Dendrogram')\nplt.xlabel('Clientes')\nplt.ylabel('Distancias euclideana')\nplt.show()","metadata":{"id":"GWu3lk8-0N2l","colab":{"height":512,"base_uri":"https://localhost:8080/"},"cell_id":"20db685560d04035849a98487d6d8b87","outputId":"6a3b4937-f5b8-460d-d9ab-8498e92d4f26","deepnote_cell_type":"code"},"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA7MAAAHvCAYAAACGzYjKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzde5wsd10n/M+XJBAgQLiEJIRgEBAX5XGAyEX04SxeYFEBXUU46gKLe3afB1S8Al4AXVnRR7noKrvHRW7rgCgoqKgLyImgC5jAQAQWiUAkIQnhFnK4BJL8nj+6JunTp2emZ07XdNec9/v1mtd0V9flV9XV1f2p369+Va21AAAAwJDcZNEFAAAAgO0SZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgCWQFU9oaretuhyAMBQCLMAsIGq+mhVfbGqrq6qz1bV31fVf6oq358AsGC+jAFgc9/dWrtVkq9K8twkT0vy4t0sQFWduMzzA4BFEGYBYAattataa69P8gNJHl9VX19VN6uq36iqf6mqK6rqv1XVzZOkqvZV1SVV9VNV9Ymquqyqnrg+v6q6fVW9vqo+V1XvTHK38eVVVauqJ1fVh5J8qBv2H6rqoqr6dDftncbG/46q+mBVXVVVv1tV51XVj3SvPaGq/q6qnl9Vn0ry7Kq6W1X9TVV9qqo+WVV/UFWnjs3vo1X1M1X13qr6fFW9uKpOr6q/7Gqq31RVt+1xkwPApoRZANiG1to7k1yS5Fsyqqn9miQrSe6e5Kwkzxwb/Ywkt+mGPynJ74wFwN9J8qUkZyb5993fpEcneUCSe1XVQ5P8apLHdNNcnORVSVJVd0jyx0mekeT2ST6Y5Jsm5vWAJB9OcnqS5ySpbn53SvKvkpyd5NkT0/zbJN/ereN3J/nLJD+X5LSMfkP82IYbCgB6JswCwPZ9PMntkhxI8hOttU+31q5O8l+SPHZsvK8k+eXW2ldaa29IcjjJPavqhIyC4jNba59vrf1jkpdNWc6vdvP+YpIfTPL7rbV3tdauySi4PqiqzknyiCTva629trV2bZLfSnL5ZJlba7/dWru2tfbF1tpFrbU3ttauaa1dmeR5SR4yMc1vt9auaK1dmuStSd7RWnt3a+1LSf4kyX12sO0AYC5cMwMA23dWRt+ht0hyQVWtD68kJ4yN96kuXK77QpJTMqrZPDHJx8Zeu3jKcsZfv1OSd60/aa0d7poMn9W99rGx11pVXbLJvFJVpyd5YUY1zLfK6AT3ZyamuWLs8RenPD9lSpkBYFeomQWAbaiqb8woQP5pRoHu61prp3Z/t2mtzRLwrkxybUZNe9fdZcp4bezxxzPqhGq9HLfMqEnxpUkuS3Lnsddq/PmUeSWjWuSW5N6ttVsn+aGMwjgADIIwCwAzqKpbV9V3ZXSd6v9srb0nye8leX5V3bEb56yqethW82qtXZfktRl1xHSLqrpXksdvMdkrkzyxqlaq6mYZhdF3tNY+muQvkty7qh7d9VT85Iyu193MrTJq9nxVVZ2V5Ge2KjcALBNhFgA292dVdXVGzXR/PqNrS9d7JX5akouSvL2qPpfkTUnuOeN8n5JRM93Lk7w0yUs2G7m19qYkv5jkNRnVxN4t3fW5rbVPJvn+JL+e5FNJ7pXk/CTXbDLLX0py3yRXZRSGXztjuQFgKVRrk62OAIAhq6qbZNTj8g+21t6y6PIAQB/UzALAHlBVD6uqU7smyD+X0fWvb19wsQCgN8IsAOwND0ryz0k+mdE9YR/d3dIHAPYkzYwBAAAYHDWzAAAADM6Jiy7AsbjDHe7QzjnnnEUXAwAAgB5ccMEFn2ytnTbttUGH2XPOOSfnn3/+oosBAABAD6rq4o1e08wYAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYnBMXXQA4FgcPJquriy4FAEB/9u9PDhxYdClg+aiZZdBWV5O1tUWXAgCgH2trTtzDRtTMMngrK8mhQ4suBQDA/O3bt+gSwPJSMwsAAMDgCLMAAAAMjjALAADA4AizAAAADI4wCwAAwOAIswAAAAyOMAsAAMDg9B5mq+qEqnp3Vf159/yuVfWOqrqoqv6wqm7aDb9Z9/yi7vVz+i4bAAAAw7QbNbM/nuQDY89/LcnzW2t3T/KZJE/qhj8pyWe64c/vxgMAAICj9Bpmq+rOSb4zyf/onleShyb5426UlyV5dPf4Ud3zdK9/azc+AAAAHKHvmtkXJPnZJNd3z2+f5LOttWu755ckOat7fFaSjyVJ9/pV3fhHqKoDVXV+VZ1/5ZVX9ll2AAAAltSJfc24qr4rySdaaxdU1b55zbe1djDJwSQ599xz27zmCwDA/Bw8mKyuLroUw7e2Nvq/b99CizF4+/cnBw4suhTMW29hNsmDkzyyqh6R5OQkt07ywiSnVtWJXe3rnZNc2o1/aZKzk1xSVScmuU2ST/VYPgAAerK6OgpiKyuLLsmw2X7Hbv2EgDC79/QWZltrz0jyjCTpamZ/urX2g1X1R0m+L8mrkjw+yeu6SV7fPf/f3et/01pT8woAMFArK8mhQ4suBcc7tdp71yLuM/u0JD9ZVRdldE3si7vhL05y+274TyZ5+gLKBgAAwAD02cz4Bq21Q0kOdY8/nOT+U8b5UpLv343yAAAAMGyLqJkFAACAYyLMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACDI8wCAAAwOMIsAAAAgyPMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACDI8wCAAAwOMIsAAAAgyPMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACDI8wCAAAwOMIsAAAAgyPMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACDI8wCAAAwOMIsAAAAgyPMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACDI8wCAAAwOMIsAAAAgyPMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACDI8wCAAAwOMIsAAAAgyPMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACD01uYraqTq+qdVfWeqnpfVf1SN/ylVfWRqlrr/la64VVVv1VVF1XVe6vqvn2VDQAAgGE7scd5X5Pkoa21w1V1UpK3VdVfdq/9TGvtjyfG/zdJ7tH9PSDJi7r/AAAAcITeambbyOHu6UndX9tkkkcleXk33duTnFpVZ/ZVPgAAAIar12tmq+qEqlpL8okkb2ytvaN76TldU+LnV9XNumFnJfnY2OSXdMMm53mgqs6vqvOvvPLKPosPAADAkuo1zLbWrmutrSS5c5L7V9XXJ3lGkq9N8o1Jbpfkaduc58HW2rmttXNPO+20uZcZAACA5bcrvRm31j6b5C1JHt5au6xrSnxNkpckuX832qVJzh6b7M7dMAAAADhCn70Zn1ZVp3aPb57k25P8n/XrYKuqkjw6yT92k7w+yb/rejV+YJKrWmuX9VU+AAAAhqvP3ozPTPKyqjoho9D86tban1fV31TVaUkqyVqS/9SN/4Ykj0hyUZIvJHlij2UDAABgwHoLs6219ya5z5ThD91g/JbkyX2VBwAAgL1jV66ZBQAAgHkSZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBEWYBAAAYHGEWAACAwektzFbVyVX1zqp6T1W9r6p+qRt+16p6R1VdVFV/WFU37YbfrHt+Uff6OX2VDQAAgGHrs2b2miQPba19Q5KVJA+vqgcm+bUkz2+t3T3JZ5I8qRv/SUk+0w1/fjceAAAAHKW3MNtGDndPT+r+WpKHJvnjbvjLkjy6e/yo7nm617+1qqqv8gEAADBcvV4zW1UnVNVakk8keWOSf07y2dbatd0olyQ5q3t8VpKPJUn3+lVJbt9n+QAAABimXsNsa+261tpKkjsnuX+Srz3WeVbVgao6v6rOv/LKK4+5jAAAAAzPrvRm3Fr7bJK3JHlQklOr6sTupTsnubR7fGmSs5Oke/02ST41ZV4HW2vnttbOPe2003ovOwAAAMunz96MT6uqU7vHN0/y7Uk+kFGo/b5utMcneV33+PXd83Sv/01rrfVVPgAAAIbrxK1H2bEzk7ysqk7IKDS/urX251X1/iSvqqpfSfLuJC/uxn9xkldU1UVJPp3ksT2WDQAAgAHrLcy21t6b5D5Thn84o+tnJ4d/Kcn391UeAAAA9o5duWYWAAAA5kmYBQAAYHCEWQAAAAZHmAUAAGBwhFkAAAAGR5gFAABgcIRZAAAABkeYBQAAYHCEWQAAAAZHmAUAAGBwhFkAAAAGR5gFAABgcIRZAAAABkeYBQAAYHCEWQAAAAZHmAUAAGBwTlx0AYbi4AUHs3rh6qKLwYS1y1+QJNn30qcuuCRM2n/v/TlwvwOLLgYAAHuUMDuj1QtXs3b5WlbOWFl0URiz8nQhdhmtXb6WJMIsAAC9EWa3YeWMlRx6wqFFFwOW3r6X7lt0EQAA2ONcMwsAAMDgCLMAAAAMjjALAADA4AizAAAADI4wCwAAwOAIswAAAAyOMAsAAMDgzHyf2aq6Y5KT15+31v6llxIBAADAFrasma2qR1bVh5J8JMl5ST6a5C97LhcAAABsaJZmxv85yQOT/FNr7a5JvjXJ23stFQAAAGxiljD7ldbap5LcpKpu0lp7S5Jzey4XAAAAbGiWa2Y/W1WnJPnbJH9QVZ9I8vl+iwUAAAAbm6Vm9lFJvpjkJ5L8VZJ/TvLdfRYKAAAANrNlzWxrbbwW9mU9lgUAAABmMktvxt9bVR+qqquq6nNVdXVVfW43CgcAAADTzHLN7K8n+e7W2gf6LgwAAADMYpZrZq8QZAEAAFgms9TMnl9Vf5jkT5Ncsz6wtfba3koFAAAAm5glzN46yReSfMfYsJZEmAUAAGAhZunN+Im7URAAAACY1ZZhtqpOTvKkJF+X5OT14a21f99juQAAAGBDs3QA9YokZyR5WJLzktw5ydV9FgoAAAA2M0uYvXtr7ReTfL619rIk35nkAf0WCwAAADY2S5j9Svf/s1X19Uluk+SOW01UVWdX1Vuq6v1V9b6q+vFu+LOr6tKqWuv+HjE2zTOq6qKq+mBVPWwnKwQAAMDeN0tvxger6rZJfjHJ65OckuSZM0x3bZKfaq29q6puleSCqnpj99rzW2u/MT5yVd0ryWMzujb3TkneVFVf01q7bsZ1AQAA4DgxS2/G/6N7eF6Sr551xq21y5Jc1j2+uqo+kOSsTSZ5VJJXtdauSfKRqrooyf2T/O9ZlwkAAMDxYctmxlV1elW9uKr+snt+r6p60nYWUlXnJLlPknd0g55SVe+tqt/van2TUdD92Nhkl2RK+K2qA1V1flWdf+WVV26nGAAAAOwRs1wz+9Ikf51R098k+ackT511AVV1SpLXJHlqa+1zSV6U5G5JVjKquf3NbZQ3rbWDrbVzW2vnnnbaaduZFAAAgD1iljB7h9baq5NcnySttWuTzHQda1WdlFGQ/YPW2mu76a9orV3XWrs+ye9l1JQ4SS5NcvbY5HfuhgEAAMARZgmzn6+q2ydpSVJVD0xy1VYTVVUleXGSD7TWnjc2/Myx0b4nyT92j1+f5LFVdbOqumuSeyR550xrAQAAwHFllt6MfzKjoHm3qvq7JKcl+b4Zpntwkh9OcmFVrXXDfi7J46pqJaNw/NEk/zFJWmvvq6pXJ3l/Rj0hP1lPxgAAAEwzS2/G76qqhyS5Z5JK8sHW2le2mCyttbd14096wybTPCfJc7aaN6w7eMHBrF64uuhiMGHt8tH5q30v3bfYgjDV/nvvz4H7HVh0MQAAjsmGYbaqvneDl76mqrJ+DSws0uqFq1m7fC0rZ6wsuiiM8X4sr/UTDcIsADB0m9XMfnf3/45JvinJ33TP/3WSv08izLIUVs5YyaEnHFp0MWAQ1JYDAHvFhmG2tfbEJKmq/5XkXq21y7rnZ2Z0ux4AAABYiFl6Mz57Pch2rkhyl57KAwAAAFuapTfjN1fVXyd5Zff8B5K8qb8iAQAAwOZm6c34KV1nUN/SDTrYWvuTfosFAAAAG5ulZna952IdPgEAALAUNrs1z9taa99cVVcnaeMvJWmttVv3XjoAAACYYrPejL+5+3+r3SsOAAAAbG2zmtnbbTZha+3T8y8OAAAAbG2za2YvyKh5cU15rSX56l5KBAAAAFvYrJnxXXezIAAAADCrm2w1QlV9T1XdZuz5qVX16H6LBQAAABvbMswmeVZr7ar1J621zyZ5Vn9FAgAAgM3NEmanjTPT/WkBAACgD7OE2fOr6nlVdbfu73kZdQ4FAAAACzFLmP3RJF9O8ofd3zVJntxnoQAAAGAzWzYXbq19PsnTd6EsAAAAMJMtw2xVvSWj+8oeobX20F5KBAAAAFuYpSOnnx57fHKSf5vk2n6KAwAAAFubpZnxZGdPf1dV7+ypPAAAALClWZoZ327s6U2S3C/JbXorEQAAAGxhlmbGF2R0zWxl1Lz4I0me1GehAAAAYDOzNDO+624UBAAAAGa15X1mq+oWVfULVXWwe36Pqvqu/osGAAAA020ZZpO8JMmXk3xT9/zSJL/SW4kAAABgC7OE2bu11n49yVeSpLX2hYyunwUAAICFmCXMfrmqbp5RJ1CpqrsluabXUgEAAMAmZunN+FlJ/irJ2VX1B0kenOQJfRYKAAAANjNLb8ZvrKp3JXlgRs2Lf7y19sneSwYAAAAbmKVmNq21TyX5i57LAgAAADOZ5ZpZAAAAWCrCLAAAAIOzZZitqrtV1c26x/uq6seq6tT+iwYAAADTzVIz+5ok11XV3ZMcTHJ2ktVeSwUAAACbmCXMXt9auzbJ9yT57dbazyQ5s99iAQAAwMZmCbNfqarHJXl8kj/vhp3UX5EAAABgc7OE2ScmeVCS57TWPlJVd03yin6LBQAAABvb8j6zrbX3J/mxsecfSfJrfRYKAAAANrNlmK2qeyT51ST3SnLy+vDW2lf3WC4AAADY0CzNjF+S5EVJrk3yr5O8PMn/7LNQAAAAsJlZwuzNW2tvTlKttYtba89O8p1bTVRVZ1fVW6rq/VX1vqr68W747arqjVX1oe7/bbvhVVW/VVUXVdV7q+q+x7JiAAAA7F2zhNlrquomST5UVU+pqu9JcsoM012b5Kdaa/dK8sAkT66qeyV5epI3t9bukeTN3fMk+TdJ7tH9HcioNhgAAACOMkuY/fEkt8ioE6j7JfnhjG7Ts6nW2mWttXd1j69O8oEkZyV5VJKXdaO9LMmju8ePSvLyNvL2JKdWlfvZAgAAcJRZejP+h+7h4Yxu07NtVXVOkvskeUeS01trl3UvXZ7k9O7xWUk+NjbZJd2wy8aGpaoOZFRzm7vc5S47KQ4AAAADt2GYraoXtNaeWlV/lqRNvt5ae+QsC6iqU5K8JslTW2ufq6rxebSqOmrem2mtHUxyMEnOPffcbU0LAADA3rBZzewruv+/sdOZV9VJGQXZP2itvbYbfEVVndlau6xrRvyJbvilSc4em/zO3TAAAAA4woZhtrV2Qffw/CRfbK1dnyRVdUKSm2014xpVwb44yQdaa88be+n1GV1z+9zu/+vGhj+lql6V5AFJrhprjgwAAAA3mKUDqDdn1AHUupsnedMM0z04o86iHlpVa93fIzIKsd9eVR9K8m3d8yR5Q5IPJ7koye8l+X9nWwUAAACON1t2AJXk5Nba4fUnrbXDVXWLzSboxntbktrg5W+dMn5L8uQZygMAAMBxbpaa2c9X1X3Xn1TV/ZJ8sb8iAQAAwOZmqZl9apI/qqqPZ1TTekaSH+i1VAAAALCJme4zW1Vfm+Se3aAPtta+0m+xAAAAYGOz1MwmyTcmOacb/75Vldbay3srFQAAAGxiyzBbVa9Icrcka0mu6wa3JMIsAAAACzFLzey5Se7V9TYMAAAACzdLb8b/mFGnTwAAALAUZqmZvUOS91fVO5Ncsz6wtfbI3koFAAAAm5glzD6770IAAADAdsxya57zdqMgAAAAMKstr5mtqgdW1T9U1eGq+nJVXVdVn9uNwgEAAMA0s3QA9V+TPC7Jh5LcPMmPJPmdPgsFAAAAm5klzKa1dlGSE1pr17XWXpLk4f0WCwAAADY2SwdQX6iqmyZZq6pfT3JZZgzBANtx8IKDWb1wddHF2NPWLl9Lkux76b7FFmQP23/v/TlwvwOLLgYA7HmzhNIf7sZ7SpLPJzk7yff2WSjg+LR64eoNYYt+rJyxkpUzVhZdjD1r7fI1J2QAYJfMUjP76NbaC5N8KckvJUlV/XiSF/ZZMOD4tHLGSg494dCiiwE7osYbAHbPLDWzj58y7AlzLgcAAADMbMOa2ap6XJL9Se5aVa8fe+nWST7dd8EAAABgI5s1M/77jDp7ukOS3xwbfnWS9/ZZKAAAANjMhmG2tXZxkour6tuSfLG1dn1VfU2Sr01y4W4VEAAAACbNcs3s3yY5uarOSvK/Murd+KV9FgoAAAA2M0uYrdbaFzK6Hc/vtta+P8nX9VssAAAA2NhMYbaqHpTkB5P8RTfshP6KBAAAAJubJcw+NckzkvxJa+19VfXVSd7Sb7EAAABgY5v1Zpwkaa2dl+S8secfTvJjfRYKAAAANrPZfWZf0Fp7alX9WZI2+Xpr7ZG9lgwAAAA2sFnN7Cu6/7+xGwUBAACAWW12n9kLuv/nVdVp3eMrd6tgAAAAsJFNO4CqqmdX1SeTfDDJP1XVlVX1zN0pGgAAAEy3YZitqp9M8uAk39hau11r7bZJHpDkwVX1E7tVQAAAAJi0Wc3sDyd5XGvtI+sDup6MfyjJv+u7YAAAALCRzcLsSa21T04O7K6bPam/IgEAAMDmNguzX97hawAAANCrzW7N8w1V9bkpwyvJyT2VBwAAALa02a15TtjNggAAAMCsNr01DwAAACwjYRYAAIDBEWYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMHpLcxW1e9X1Seq6h/Hhj27qi6tqrXu7xFjrz2jqi6qqg9W1cP6KhcAAADD12fN7EuTPHzK8Oe31la6vzckSVXdK8ljk3xdN83vVpX73AIAADBVb2G2tfa3ST494+iPSvKq1to1rbWPJLkoyf37KhsAAADDtohrZp9SVe/tmiHftht2VpKPjY1zSTfsKFV1oKrOr6rzr7zyyr7LCgAAwBLa7TD7oiR3S7KS5LIkv7ndGbTWDrbWzm2tnXvaaafNu3wAAAAMwK6G2dbaFa2161pr1yf5vdzYlPjSJGePjXrnbhgAAAAcZVfDbFWdOfb0e5Ks93T8+iSPraqbVdVdk9wjyTt3s2wAAAAMx4l9zbiqXplkX5I7VNUlSZ6VZF9VrSRpST6a5D8mSWvtfVX16iTvT3Jtkie31q7rq2wAAAAMW29htrX2uCmDX7zJ+M9J8py+ygMAAMDesYjejAEAAOCYCLMAAAAMjjALAADA4AizAAAADI4wCwAAwOAIswAAAAyOMAsAAMDgCLMAAAAMjjALAADA4AizAAAADI4wCwAAwOAIswAAAAyOMAsAAMDgCLMAAAAMjjALAADA4AizAAAADI4wCwAAwOAIswAAAAyOMAsAAMDgCLMAAAAMjjALAADA4AizAAAADI4wCwAAwOAIswAAAAyOMAsAAMDgCLMAAAAMjjALAADA4Jy46AIAAAB728GPfzyrV1yxkGWvHb57kmTfuy/a9WXvP/30HLjTnXZ9uccLYRYAAOjV6hVXZO3w4ayccsquL3vl93Y/xCbJ2uHDSSLM9kiYBQAAerdyyik5dJ/7LLoYu2bfu9+96CLsea6ZBQAAYHDUzAIADMHBg8nq6qJLMbu1F4z+73vqYsuxHfv3JwcOLLoUwIyEWQCAIVhdTdbWkpWVRZdkJodWBhRik9G2TYRZGBBhFgBgKFZWkkOHFl2KvWnfvkWXANgm18wCAAAwOMIsAAAAgyPMAgAAMDjCLAAAAIMjzAIAADA4wiwAAACDI8wCAAAwOMIsAAAAg9NbmK2q36+qT1TVP44Nu11VvbGqPtT9v203vKrqt6rqoqp6b1Xdt69yAQAAMHx91sy+NMnDJ4Y9PcmbW2v3SPLm7nmS/Jsk9+j+DiR5UY/lAgAAYOB6C7Ottb9N8umJwY9K8rLu8cuSPHps+MvbyNuTnFpVZ/ZVNgAAAIZtt6+ZPb21dln3+PIkp3ePz0rysbHxLumGHaWqDlTV+VV1/pVXXtlfSQEAAFhaC+sAqrXWkrQdTHewtXZua+3c0047rYeSAQAAsOx2O8xesd58uPv/iW74pUnOHhvvzt0wAAAAOMpuh9nXJ3l89/jxSV43Nvzfdb0aPzDJVWPNkQEAAOAIJ/Y146p6ZZJ9Se5QVZckeVaS5yZ5dVU9KcnFSR7Tjf6GJI9IclGSLyR5Yl/lAgAAYPh6C7Ottcdt8NK3Thm3JXlyX2UBAABgb1lYB1AAAACwU8IsAAAAgyPMAgAAMDi9XTMLABs5eMHBrF64uuhizN3a5WtJkn0v3bfYgvRk/73358D9Diy6GACQRM0sAAuweuHqDcFvL1k5YyUrZ6wsuhi9WLt8bU+egABguNTMArAQK2es5NATDi26GMxor9Y2AzBcamYBAAAYHGEWAACAwRFmAQAAGBxhFgAAgMERZgEAABgcYRYAAIDBcWseenHwgoO7cj/C9ftU7sYtI/bfe38O3O9A78tZtN1676bZzfdzI8fL+wwAMHRqZunF6oWrNwSTPohI54QAACAASURBVK2csZKVM1Z6X87a5WsLC3i7bbfeu2l26/3cyPH0PgMADJ2aWXqzcsZKDj3h0KKLMReLrClchL303m3H8fY+AwAMmZpZAAAABkeYBQAAYHA0MwYAAI5rBz/+8axeccVc57l2+HCSZN+73z3X+e4//fQcuNOd5jrPoVIzCwAAHNdWr7jihvA5LyunnJKVU06Z6zzXDh+ee+geMjWzAADAcW/llFNy6D73WXQxNjXvWt6hUzMLAADA4AizAAAADI4wCwAAwOAIswAAAAyODqAAAOjHwYPJ6uqiSzGbtbXR/337FlqMme3fnxw4sOhSwEKpmQUAoB+rqzeGxGW3sjL6G4K1teGcJIAeqZkFAKA/KyvJoUOLLsXeMpTaY+iZmlkAAAAGR5gFAABgcIRZAAAABkeYBQAAYHB0AMWed/CCg1m98Nh6/Fu7fNQT476X7jum+ey/9/4cuJ9u9AEA4FipmWXPW71w9YYwulMrZ6xk5Yxj665/7fK1Yw7VAADAiJpZjgsrZ6zk0BMOLbQMx1qrCxxf5tGqZJ7m1UJlnrR2ATi+CbMAsITWW5Uca6uQeVmWcqxbD9d7LswePJisbnASY61rZbTZPUb3708O7LFtArABYRYAltQytCpZVstUQzxXq6uj0Loy5eTBtGHj1sOuMAscJ4RZAIBlsrKSHDq0/ek2q7EF2IN0AAUAAMDgCLMAAAAMjmbGMEeb9T66VU+geuUEAIDZCbMwR5v1PrpZT6B7tldOAGDPO/jxj2f1iis2HWft8OEkyb53v3vT8faffnoO3OlOcysbe9tCwmxVfTTJ1UmuS3Jta+3cqrpdkj9Mck6SjyZ5TGvtM4soHxyLnfQ+umd75exBn/fe3I37aKqBB2CvWb3iiqwdPpyVU07ZcJzNXlu3HniFWWa1yJrZf91a++TY86cneXNr7blV9fTu+dMWUzRgWfV5782+76OpBh6ATe8lPKtZ7jk8qzndm3jllFNy6D73OaZ5bFVrC5OWqZnxo5Ls6x6/LMmhCLPAFEO996YaeAA2vZfwrI5l2nHuTczALSrMtiT/q6pakv/eWjuY5PTW2mXd65cnOX3ahFV1IMmBJLnLXe6yG2UFAID52em9hOfNvYkZuEWF2W9urV1aVXdM8saq+j/jL7bWWhd0j9IF34NJcu65504dBwAAYNnM0lnWZmbtSGsre6WjrYWE2dbapd3/T1TVnyS5f5IrqurM1tplVXVmkk/sZN59dQ7Td8cwOoUBAIC9bZbOsjaz0+nG7aWOtnY9zFbVLZPcpLV2dff4O5L8cpLXJ3l8kud2/1+3k/n31TlMnx3D6BQGAACOD/PoLOtY7KWOthZRM3t6kj+pqvXlr7bW/qqq/iHJq6vqSUkuTvKYnS5gaJ3D6BQGAABge3Y9zLbWPpzkG6YM/1SSb93t8gAAADA8y3RrnkGZ57W5874e1/W3AADAXneTRRdgqNavzZ2HlTNW5nZN7trla710gAUAALBM1Mweg2W8Ntf1twAAwPFAmAUAABiYnd6z9ljuVbts96cVZgGAXTWPfifm1d+EfiaAodrpPWt3eq/aZbw/rTALwFTz7Ohu0rw7vhsnnCy/edwTfh59TbjPOzB0u3nP2mW8P60wC8BU8wgcG+ljnolwMiTL0O+EfiYAhk2YBWBDyxA4tkM4AYDjhzALx4HtNBfdTvNPzTltWwCARRFm4Tiwneaiszb/1JxzxLZlM8dy3fGxXlfshAgAs5i1V+RZe0HezR6PhVk4Tsy7uajmnDeybdnIsVx3fCzXFTshAsCsZu0VeZZekHe7x2NhFgB6tIjrjp0QAZbdtNrAjWr+lu3epnvRvHpF3u0ej4VZAGDPcB07DMO02sBpNX/LeG9TlocwCwDsGa5jh+GYpTZwGe9tyvIQZtm2Wc56z3K2e15nubcqz6xn3p11B9gbXMcOcHy4yaILwPCsn/XezMoZK5ue8V67fG3HPXxutzxblWXe5QEAAPqnZpYdOdaz3vM+y71s5WE2O7ltyU5uV6LWHQBYp/OpvUOYHYhZf/Rv94e+H/ks0k5uW7Ld25W41g0AGKfzqb1DmB2IWX/0b+eHvh/5LIO+b1ui1h1217z6VUiccIXj0WStaV81pjqf2huE2QHRoQUAy26Wk6+znHh1wnVJHTyYrG7j8pC1rk+LfftmG3///uSA9/x4NllrqsZ0+Uxrpr1uo5MP6+bdbFuYBQDmah4nX51wXVKrq6OAujJjS7BZx0tuDL7CbD+mnYjY6GTDDCcVxgPNtABzLKFlq1pTNaaLNa2Z9rppw9b1cRJCmOW4M60J3EZN3jRxg8XbTkdhOgiDXbCykhw6NP/5zlp7y85MOxEx7WTDjCcVxgPNZIBRc7r3zdJMe1IfJyGEWY4705rATWvypokbLIftdBS21zsI0xkgN5i1lk2zXcbNciJiGycVNgo0ak7ZLcLsmL7O/vuRsHxmaQKniRssj746Chva51xngNxgllq2ZWq2O8u1ttu5vlZIByLMHqGPs/9+JMzf5EmHyRMLu33yYLw8005ybFSenU4H87TZSbytTtrZRxdDZ4DcYKtatmVqtjvLtbazXl+7TCEddol7404nzE7wI2H5TZ50GD+xsIiTB+PlmTzJsVl5djodzNNmJ/E2O2lnH4U5Gq+13MtNhed1re0iQ/p2e3OeZrs9PG9kr+wXM5jldj17PcAN7d64uxW+hVkGaaOTDos6ebDT8izberB7lqlGdCcn8eyjMEfjtZbL3FSY7ffmPM2xTLvuONsvtrpdz7IEuGnmed/cId0bd7fCtzB7nJi1B98+mg3qPXj3bBSQ5hGOtmrePet85m2ra92XtamsGtG9ZSefPce7Iy3bJSS7bqNay2VqKsxIX705b8dxuF9sFuSWJcBNczzfN3c3wvfgw+xx/+U3o1l68O3rR7Leg3fPRgFpHuFos+bd25nPvG11rfsyB8NlrxFdptrjZbfdz96i971ltGyXkADMi/vm9mfwYdaX3+y2+uHc54/kjZY97WTEomv6hm67AWk77/tm815ks9OdXuuuqezm1B5vz3b2w93e94ZyYsKlF8Astmq6u9evn+VGgw+zyXJ9+S1rU8xjtVnPu8eyPsvWCVJf6wlDtey1x8zGiYnjxGTnRHu5M6k+bdbJ0yydN817Gw/knsLjAXM8XPYRLDdrurtXm+wy3Z4Is8tkXk0xly0UbxQ65/FDZ5lORvS5nuwdbqvEEPV5YsJnYklMdk6kM6md2ayTp606b+pjG+/GPYU361F7xpA8HjDXw2WfwXKjprtDabK7m+F/LxNmezCPppjLeH3itPUaUg3M+o+t8R9a035gDX09d9PxWpO9bC0KFmVInR5tt6x7ef/tw176TGyn08JkCfeVzTon2s1Og7aqJd4qIB1L7eg8aih32slTX9u473sKb9Sj9jZD8mTAHEqwXIR5hf/jvcm1MLvElvX6xKGaPEGwbD+whlizcTzXZC9Ti4JF6aPTo756P99OWY+H/bcPe+UzMWunhckA9pV5NTveyX1wN6slniUg7bR2VO3zzk0LzMdhr8m7aR7h/3hvci3MsiPTajmT5Qxc48Z/bC3bD6yh1mwMqSZ72Zrv7wXz7vSoz97PZy3rsuy/i7yl2pD08bke2r6yoXk1O97pfXCP9XZDO6kd3a3wtVHN8Ua1xq5VHozJ5r9fbi2nvvWtN7w+eWudZaj5nAzFk+uwl5svC7MDsdNbEM3StHbW5rfjpv3gXGTg2sk6LKPdqtnQPHh5mu9ztFmCxNKHiDlY5C3VhmRPfq43qgndSSCaDITTamtnafq7jPfBnbVjpGT+YXKjmuNptcZqi28whOtEJ5v/rh0+nMPXXZdTTjjhqHE3qvlc9HpO1tZOK+dGZUyWI6DP6rgNs7t5Tcw8gsO0L+vLrr4sa5ev5aprrsra5WtZvXD1qPnN0rR2p81vJ39wTm63ndTebrStthuuF/3jZbfC9U5PcmgefGjqa8sYkNQm32iITfGP1W7fUm3a/vbl676cU5976g3lSXZvW++kr4ONvt/nccJu1z6P02pC5xWI5nRt5FKYpWOkpL912yjgbxSy++h5eH1Zx3rSY5f02UnUejibR3gcr+lcD3jb6WxqtzvDmmbaOmxVxq3KOc9tPC/HbZjdzWtiJoPDtBCabP0FOC08XvH5K/KQr3rIpuWcpWltH81vd1J7Oy1k7SRcLzqU7Fa4Ppb7LG/0429eP/r6MsuPyWT3y76dVhDJzk48JHuk1mmH+mqKf6wtX3YyzbGe6OrrhNm0/W3t8rUc/vLhnHLT7gfZLu5zOzmW7vS4OMs23dXP42RQmmcN6DJfG7ndcDZroJy1BnoedrNX6cllzWve096HZC7brq9OomapjdxNQ+gMa1qP0JuVc9m2cXIch9lk4zPeW53VTY7t+pvJELo+/2T7X4DLFOCm2ar2dl7T9OVYrg3erfdmHk2Td7PZ+LHWrm31Y3J8vrOUfV5NrrfbCmIeJx7Gp9/u8Wk3r3ufZ/Dqoyn+TsPPTt7PeZ3o6vOE2UbH4O0cz+ZZi76TY+lO9pNZt2kfn0fGzBLOZgm8i66Bnkev0rMG+/FlzeukxLRa7wHU3m9VGzkPu9mEeBHL2qrJ8Ty28WZNnKctczN7Mswe6w+n3TjzukyBjY0t27XBfZrHPjlLQJpH7dq0H6rTate220T9WN/n7baCWHcsJx7GW3skOarFRzL9x/Ru7tuzhISdHLd3elnCNJPvy7TWCvO6lddW+8lOmtZuNp/1dRgfr++AtRc6tNtJh2VDWtcb7LQGbifNW+cVzmatjRyfz+R1yLtVSzu57PXlJ1uXYV61rjttitxn64AB280mxIta1rpjuVXQZuF7oybOO1nmngyz8zhjvdWP5WVvisn8LOrEwzx/qO+WWQPSdmtNZtkW82qiPoTP+UaXHGy3lnon+/ZOA9JWIeFYm5NuNN1Oa6B3Up551Xb3UXt7LJe47NRmNZiznmyalz77MdjsREiyvMeRG+y0Bm4nQWueTWK3Wxu5yJrGY7lN0TxqXftqijxA87rmczebEA9tWbM2RR5f1rR75c763ixdmK2qhyd5YZITkvyP1tpzdzKf7Z5d3e6P5XWDOOvKIO00nC26Z+c+wv+s22Iey15Ek+t5N7/tMzj0GZDm0Zx0crpjeT+PtZZuO8s61mXPOp95XeKyXcdysmney+972bN8RpYu1O60Bm4nQauPJrGzmkdN47xqOafVFPdZS7zI7b5ElvGaz71ou02Rj6UGeqnCbFWdkOR3knx7kkuS/ENVvb619v6+l72bP5ZhVjvZ35atZ+etzFoDvZufvd1aVl/vVd/BYVkC0qz24r6zU4ss36K3zW72MbHZZ2TZPh+MmaXJ9bxqOdWWLsxuXFfL9u20VnipwmyS+ye5qLX24SSpqlcleVSS3sNssvgvWpiXZe8YbNzqhas57+Lz8pCvesgNweu8i89Lcnz82OvrvRLgYHkM6Zh8XFtdTc47L3nIjSfnct7o++iIkDmvWk61pXDMqrW26DLcoKq+L8nDW2s/0j3/4SQPaK09ZWycA0nWjyj3TPLBXS8oAAAAu+GrWmunTXth2Wpmt9RaO5jk4KLLAQAAwOLcZNEFmHBpkrPHnt+5GwYAAAA3WLYw+w9J7lFVd62qmyZ5bJLXL7hMAAAALJmlambcWru2qp6S5K8zujXP77fW3rfgYgEAALBklqoDKAAAAJjFsjUzBgAAgC0JswAAAAyOMAsAAMDgLFUHUNtRVf89yeuS/HVr7bodzuNhSe6YpJLcMskXW2svrar7ZrRtvj3Jh1trr9zBvH8kyf27p69rrf3FTsq4aFX1C0k+l+TWSb7UWvuNBRdpaVTV4zK6fdSLkjwoyUndSw9I8pnW2gumTPOEjPa5JLmitfayqnpM9/zBSf6utfbqXgu+R1XVKa21w8fr8sctU1n6dLysJ5uzHwB9mjzG7JVjziLXY57LHmyYTfL+JJ9K8nNVVa21Xx5/saq+P6N71n5tRkHsz1prf1BVr0zy7owC7DcleVuS27fWnl5Vz+4mf0iSk1prz6mqZ1bVjya5eZKrk9y8tfa8qtqX5OQk90vy2STfkuQtSV7TWvtkklNaaweq6seS3DPJEWG2K9+Z3TzG5/uHSf5mbD5HTNNa+6Mpy77ZlPX8scl572Q+ST6f5MzW2jOq6me6+d6s235fbK39drd9bpfk9zIKdWeNj9Mt9obXW2uvmTLN3ZO03Bjofr2qnjY+LMmXZlj2tPk8Lsn1Se6V5Lokt+rW69okN22tPbOqfj3JF9aHJfnA+DSttV+uqv9vfLru//OS/Gz3/Kru71eT/ES3rX+2W//1dajW2q9NvPbVSS7s3oO3T5a3W/YR2z3JN0/uJ1PK99kp72eq6tRuvldPbr/uvZncFvccX9bkftNa+50Z97f1EF9J9if55yS3SHK3JDdprf3nsWlu3c3rIVOWNbmeJyX5TJIHV9X6e/6XSd6a5A2ttbWx9U5r7bMZU1Untda+UlWPnCzP5Hyq6lkZHTdfneTc1tpLqupXx5ef0bHihnFy42e/kuxvrT2/qirJN3TD39O6nviq6pattc93j+84Zbob3rtunGdmtD9/OKPP3QlTtsW09Zq6Lca2yVHrObkNu3VIkvsm+aduf1pfr2tba/9YVbfNaD/8+iQXt9Y+183n9kk+3Vprk5/zrsxHlG9y/0py2pT1nLYvT5vP+OfowTnyuH3Uuid5zMQ+MMvn85NTxjnieyTJKePvXWvtF6YcL67N0cf2fZn4TIy9b+uftZ8cn6577yeXdcR+0b1HR333TLxXR6375Dhj092ptfbxaZ/FsX1p/Tg07XN11P7fTXfrJFd35Zn87J08ZT0n389pn8dbtNa+kAnjy9rg+RGfx4lpK8kzJ9dryjY94jMzNv34sWCj8p3UWvvKxLBbttY+v8l8p5a5+x01/v5tdlw8ojxTjkO/NWUbT45zvxx9jD5qWZPrOWW/fc+U8k1+19wqE/vFtG0x5fnkfL5jSpknp9noeLvZcXvatpj6uRl/rybnM7ZeW+47E/OZPG5P++6Z/C7c6Nh+p9bax9fn383nvkn+KcnhTPnem5xuWjlnnc/YNFPL1712xPFq8nM9MZ/JY8xtM/HdMzbu5PFh2nHx9kk+3T3dcltM+Q7b6Lt5/Lg4ub1OnNwWk+u1vh4blHnD4+C03xIbDBs/5h217FnXcyNDDrPvba29I8k7quomyQ0f/rfkxqD6jiRPTXIgN9aG/bfW2nnd+P9XRj8o3t69dmH3//ok6x+q85P8qyTXt9ZeVFW/2A3/1iRf7g5UP5/kf2d0T9zHdgeCC7oDzWvSbeeqekOSQ2Pl+9sp8/37ifmc202TjH7g/NGUZV8/ZT1PGp/32LI3m0+bMp+Lk1xUVf8hyRUZBa//3K3Dz3fj3Kob9rNJ7prksolxvjLx+mu6aX45ydO6YW/pprumtfbCsWXfMKxGJxvW5/tzGyx7fT5faq2tf6HePaMP8v9M8sMZfYhOS/ILSX6mG+ezE8Mmp8mU6d7TWjs8Vq7XJfneJP+l275J8i8T6/At3Q/W6zPaZ9Jae25V/d8Z/TD9l6p6/JRl325imx6xn7TWnjlWvp/vtsfJmXg/uwPEyUnuUlVvy2j/n3xvJrfF33frtr5PVo7cb5Kj97f1z2Jy4/7235P8STf9/bpt/Lk2OlHy9K58L0pyTZKLkpyTUTCYXNbk+3BeRj8exvedv0ryu0m+q6q+J6N98OOjRdQZbXSi6je77frWqrpPRj+MjijPlPl8sbX2S1V1IMm3JXnJ2PK/3Fp7QVU9fWKcR3brnW69k+Q5Sd7UbYtfqaoPdPM4uaru0lr76Yntde7ke9dae1FGweijrbWXV9XPJXnXeFm6ZT1sfL1q1Npicls8P6MfCG/J6Avvmsn1nJyue2+uzeiH1GMy+iz/avf83lX1sSR36faNP0/yhKr6p4xOKJ2cUauGp+foz/lR5ZvcvzZ4z4/Yl6vqX02Zz22T/Epu/BwdcdzuPkeT6/5XGbW++M5uH7g2o8/IK7Lx5/PUHP0ZvunEOky+d8nRx4ufy9HH5COO21O+V/4oo2A9Pt20ZR2xX+To755Lp7xXRxwXq+o/To5TVQcz+vyu//g7Yvu11p415Th01P6W5L8l+dNuve435djw05P7QVX9xJT1nJz3+uexMvp+TZLXVtU7MjrR/RdJXpjky+vLqqpbTi572uexqtZbY1VGn4krx5ddVTedsk0nPzMfz9HHgsnyPTdjx67W2o9W1Q+NT5cbP5v3rqqPdT8YJ7f7BRPl/akZj4uT5bk6ox/JL+u2+xHHrm6ayXGO2i9y9LHqiLK01n50cpwpzzNl+edPLHvad+EdJ9/PKfOZPBZcP2WayXXY6Li91baYXNb4SZjHJPmpyflM7gMb7Dv3mTKfyX3wQVPev8ny3D5HHttvlbHPfReOfiJHfkdcl7HvvSQ/P+V4cWbGvou633GzzGfyO+xrxsuX0b59xPGqRqHshs95Rp/ryflMfr8/PBPfsVX1uznyePGhHH1cnDxWXj/Dtrhpjv4Ou2bimPKNk+swZXvdcnJbTFmvacfyyfW6xcTzz06Wb8rvhE9OznfKsqd950/7TtjQYMNsa+0tY4+v7x4+vbX2niTp3pi1JP8pySsz+gLLepDtHr93Yp6v6f6/cGzYG6rq4nbj/W7f1f0/P6Mdft1bW2uXJfmvVfWw1tpfZxQAxr01o8D4oox+kJ+R5ItVNR6ob5NR8+brMtoRr01yeUY7459243woyUlV9f9k9EE4qVvPkzP6IZRu/I9241ye0c5zcUbB4u+7cd6f0Qf6lIy+sK5N8uQkr0ry8G79Xzu+AlV1jyRP6Z6un136u+49eG6Nah9u241zi4x20GuS/FBGtZbnd9N8NKMP3e8keVy3Hg9J8umq+vbW2hsz+iDfK8n1NWqee11G4eUZSdabO384yfcluVOSS3JjDc/PV9XlbdRk9+KMQu/3ZfRjcX3cH8voB1sy+jH45Yz2k3/IqEbjHkl+IMnHunFO6Lbv93br/MZuG12fG4P9+8e3V2vtVVV1ryRXj+0Xb82E1trfZnRyI0kOJvn+JN+Z0QmEdOv+kxm9xx/P6Iv3WzI6YL+tG6cyaq3w7oxOFNw5ox+0X9Vtp2T0mX95Ru/vzTMKeed263ZJN8553bx+KqPa03My+kH+oox+LN82o/3vhWPlu3mSD3XD3pnkDd2yvi037ttv6sp3/4x+RN0iyeeq6pcy2veS0T51avL/t3f2QXcW1QH/HUgkfBgwbUMFI4RpGBGaQFoBQUhAhEpGwQ8qHSnW0GI7EAM1rXyGKI4iUDtjxgpx5GMw1RnETgdQPkoI7Qy2OtAQEluNHYOMA6JjklGTNCE5/nF28+5znr3vve/lviQ3nt/Mnfd9nnefs2fPnj27++zufXkU+EvM/leKyL6MTI7PAh7D6uE/kk5bgf1EZJHaVvjJwN+kn7/EBkT5RdclSc7zwOOq+kAaBL0MnJ06lGdSmi2Yj4K1558AqOoyEXku/f5QGvyfntI97NJMw1bSd/0t6aHF7/Owt5aXia1UAlyhqs8BiMj9WAd1N/DOZG+wVbQfp98fVdXvOl3A/Glb+v0BbIXB2+JFVf2siJyf5D8ptto4Gchx8gD33A7sBcgWrGPOZXk+6Tcx/W2/4uehKc2T2IoEwJnYi8QcT8t85qd784Bbkx88mWQdBHxERHLM/jBWb7em546slHMOVs9bgX9O5ZuGxd3/SWkmisi5Sb+nU9nOAo7H4vYLWGx4CvhseuZBLJ5NSOlXAGcAF2JtDOzl6naxlzLrk14/T/6fV8nWYXHvILFV0CewNjyhkLMRG6xeg8XtCcAazLempTRnJPn3pDQfAnakQcPWlObFpM91Ke3ZKf8vquoOsZexgq0QH5aemYa10fOBu7C4nuszp1mGDQLzG/cZqroNGxznlzo+Dvk2AxbHDkl19Ez6/RAsjuT6fAPW/k8TkR9icf4YEXkbI3Hby/5f164AvpUmwydgfcwGl5ePS7UygMWcO5NNXoP1XcvS3+7GXmZlm2b/922mFgu8fj52UXluipNb09nrS0X2t7A+HCx+1PS5R1WzvR8Fllds3IhV2FEc7xfLirzux8ZCvpxlmgewvquMb9COnQcW+j1SscUBFdvU5EwpdRaRG52Mmn4fqKT5utNnY8UW33R53Um7rrxN/5buvjOjIsf7oC83wINOn1toxvZGu0/PvIZmH+H7PfxzIvLxoi/6E2yVvxc5vg9b4/SDdv+zARvPlDGlIUdVP5/61NOg0d+fxgheTq2f8/d6scWnafdhDyU9cjw7vVIGby/fD9fGLTWdfbn8tR8TULnXkluxYU1OrU/oyF71f2alvYV4MzahBThFVc8bhFxVPa9DXo00FTmLaW5L3QL8Q75W2+r8dzS3Pf+6uL4hvakYLc0SVV1SSbMVGzC+BbhDbQXQ67O5vFbV3Hl4WzRsWrGF37pd069r3qOU4UTgy6kMV5XlwgbqPk0v9vJleKqizw2+vrx9OthrVL/o5RmfNzag9fWZbXEi8OUOtliADcxmY52XYFvqbxaRxWrbIa8s76U0tbxr9ZDzfl9F7tXYC407SNuwy2tV/UyaQG3EBt8rsfPa/4kNtCXJWVjewyYCUzVthVfVW1IZdt1LOs1Jea5U1Q0icoiObGmZAcxLbwk/CkxQ2/Z/RXkP6+j9ltjaNvtJSfcDsNU4L3dfYGbS5xlsEL5DbaX/DaqaXyxkn7gA60SuwiZKT6jqPT6Nqt7b6bqQMx0bkO8LLFHVe0Rkuqr+KKU5DhtEeptOAeam8mcb/mGSs1pVd4q96Z6BTQIFm3DuwFbSNyebvCPZcoWqbqrUJ6lOX4uthN9SSbOdtu/4oWIFTgAAC1ZJREFUNOuTrEXAnWpb5Wq+k/30erXVzlH9NJXf+79vM6XcTu2qVoZ+5GxiMG1km3sm1+GngLs62A9ssLRPrqvkQ/sDb1F7SdfwP7Vt0NOxGPRI8oWLaG8R9/rtn2wvgKa68u2z1dZ8/thLZJ/XVFV9qUh3FPbS4wgsXp4KnIztNPgXteMO12M+fSCwWVVvFZGDVXVTkjEBuNzptw2bcOwEblDbNu7bTCsWVPRrxC5VXSciB6fy/1JEDk91nuWiqlqx+85SX1V92cn+A2wXiT/Scqiq/rTQp3E8SupHUXycPKxSD/5o0ZdUdUPWRVV/KO0jB09X8vLb9SmvU9vJtng42eJ1pW1SfMtHA3Isb8R/bBdEljGxeKYs59Md0pRHDl6m6DO0fpTtK5W6aqUpfUBVf1LxnYMrckofBFsA8scvfB1PTnpPxfz/JRGZBJxYtvuyj8D8e1e/p2khqowXInKkqq5P94/TtEW+mxz/HLaIsRPre36tqj9L+r0jyXkcW11+GWvXG1R1baUvPLf0HWzc7o8dHlXKwRYBduWT+jmfd94qraPYYgoj45YnVPUXlXpo5K1p4c3Zq+yHsy2+Vtax02+l2lGi6em5I1K58vGzHBdfoD2uKnVemezlbTGXpt9+lfbYopFGi+M0NYZ2ZbYDfgvx69z1oOT2m5fflrrKXYM1lnLb8wvF9Zoe0jxbS5M6itOBTTryJs/r46/7tYXful3Tr5e8O5VhYy6DjmzRzeW6yafp0V6+DNMr+tTqqxs1e/XzTCPvSrlb25U72CIHtWuxgflmmlvqob3NfmKHvGv1kLdKexnQ3oa9ifa27AOxYDkv6dc6TlC5dz62Ff5SRlaKn3P3PsjIAONMbDv1xSJSnnP8kbijAZV7x9DeDu+3uv8AG1Dclga8qytyL8MCNdiqrWAry1mXpdI+NvG4qh6VBnO/B7SOVojIfPfMvR3kHF3KAd7lbOHth6r+AvhGyvcCEcln/sHesC7FtjBNwrbCbsnlynJVdSm24pInFvdW6nMhzUlMrc7fRNt3fJqPYz52IiOTUp9mASN+mrdcjuqnqvrtSrvy/j6D7u1qfaUM/cjZMoY2ko+LQPsIyfMd7HfSKPZr1ZUU54dFZBY2GGz4ZBos5gHjBbTb0H20ffB3fF602+eRvq1V/P+/KnldWPp/8lOAHyf9DlDV+UXZwAajXp8PdYkpZxRt+ND0zCVYXMnnm6diq8v5ejlwkYiUZ6Cnim2jz9frsJi+WUTydwlMwuL7O9P1Ymw76ePAfmkAe7OIlN+PsBj7HpLyXu1Iy5kpxufvofBb1IX28RBfx891qPNym/2fuXw+SfvIgT8uBe3t+hfSjtsXJD0vZmSSMgU7evDWpE8+GpBj+Tond26y8UJsUP6FSjkPwyY/f55+fo72kYPNLh8q5Tq3YotWGmw3QJlmkavPDc53lmP97U5sZ9oO6scvfB1voPDbdO8YYLKITFN7UXMlTd+exciE6D1A4/tKROQsYKPz9TXS/B6P9/q8UxkuE5HyuzQm0fzuj8XYC6nt2ET4cGAtzUnVWuBkseMC2YY/cHX+MVd3JPuVLye2YfHqS9iunvuwnYA5Bh2NLSbk+nwX8EkpvpMg+dabGZlw5p2Qvh7yjqY82V4rze82eDfmt953/NHIo4u88lnXm2hOnP2LmnmpTKdifdXN2Fgr2+LDyd75+hLM/73fzsTa32ysvXyhkmZ0VDU+8YnPb8knBbPrUkB56+7W59XSDztjvQ+2snl7urcEe1s4AVslGYuO84Fz0vWc4m8LgGOL63kdZDTyrukCzCrSfwQ4D+uQj81/q6RpXHeR8+ZCTldbYNsN/x6b5PxrB51HLZeX0SGf92Kd+18BF+9pvvTb8unFfkVdXZrrqlLnNZ/0vjSnSLNgkH5R8f9WXt38tEPb61r2ii61tncNtup3BfbSoHE9xjT/iL0QXOKvU5qF2JnEy7EBbS2NlzO70D/HvOuxWDcjyWmkSeV8e7q+Nv1s2L1TnVPEV59P+nsjvtby8nI6XF+IrSAtLMrt+4hWLHf63Qhc36WcHwMWZbt1KEMtn0a5OtiilzQ1v/C+M2p9pp++jvv1227+1qtv9+P/jfrqUH81G5Z1XqurRh1T9yXvb7V8fD002muHemjI7SCnlpeXU8urFi92latD3t4WNf/3flurh2q77vTZq7YZB0EQ1BCROTqy2r1A7ZuwZzCyhWinjqzGjCZnUEcOGnlj52AautTy6qZPLe8e5XS1hYjM0uZ3Eqyo6DxquYB/L2Wo6u0+n2C4qfjAKbR90vvSXJ9mgPr00ka8zn35aZ8x5SRsZSN/t8eq8lpVb+8xzSnYitAMbLvqhvJaVR8Ukdmq+nTK9xxstcSn8XIuqtjrUGxlM5/lflsPNh5zrMJeFOzKR20LcT9yqjE5rWCejH0XwtZKHzGqHOyIwK9U9TERuVbtC3D8M9foyNbPecnG42WLWhpfnz+v+M6o9dlBn0/34JPeb5/twd9q+vWTpub/55X1he129PXXj28fW9ZxktnwpYq/rarUlc/722V7VdWHO4xBdslNabycr/fgO5+o5OXjRa2N+Ly9Ldb34P9d21G3PiEms0EQ7PWMMgkd05l6Nymeqaqr/T3ckQN1XzRX6LMrbyrn+2t5ddOnlnePcrraosMArHZ+vmO56GGiHww3FR/4XMUnvS+10gxQn17aSM1vx+ynfcaUXmJBr2nGY0I55vqjhzjUY5qrK/r1I6dTnXezxahyetRvUGXoN69e43a3Oq/l1Y/fDkK/3eb/r8CXBpWm3zofuJxxLkPXcUsD7XGrTnziE5/4DOuH5tavmZ3u7S59dqcuvdqiF527pdnd5YzPnulLe5rO/erXz3ODaFfjmWZ31t945jOIOn81bdVvXoOq837stzek2dNsMag6H4Sc8cx7rJ9YmQ2CIAiCIAiCIAiGjn26JwmCIAiCIAiCIAiCPYuYzAZBEARBEARBEARDR0xmgyAIgmCcEZHfF5Gvicj/ichTIvJNETlaRNakv/+xiHz+Fci/ZnDaBkEQBMFwEGdmgyAIgmAcERHB/tn93ap6W7o3C5gMfFFVjxtAHr9S1YNeqZwgCIIgGCZiZTYIgiAIxpczsP/vd1u+ofZ/TJ/P1yIyV0QeSL8fKCJ3iMh3ROS/xf4/IiLyFyLyDRF5SETWicjN6f5NwP4iskpElqd7F6XnV4nI7SKyb/rcJSJrRORZEbnyVbRBEARBEAycCbtbgSAIgiDYyzkOeGoM6a8FVqjqfBE5BPiOiPxb+tvxwAnA/wPfF5GlqnqViFyuqscDiMgxwAeAU1V1u4j8E/BBYC1weF4JTrKDIAiCYGiJyWwQBEEQ7FmcDbxbRBal60nAG9Pvj6nqJgAR+R5wBMUKb+LtwB8B37UdzuwPvATcDxwlIkuBB4FHxrMQQRAEQTDexGQ2CIIgCMaXtcD7x5BegPep6vcbN0VOwlZkMzuo9+OCnc+9uvUHO6t7DvDXwJ8C88egVxAEQRDsUcSZ2SAIgiAYX1YA+4nIpfmGiMwEpnVI/zCwIH1xFCJyQg95bBeRien3x4D3i8jU9PwUETlCRH4X2EdV7wOuA2b3V5wgCIIg2DOIyWwQBEEQjCNq/zbgPcBZ6V/zrAU+A7zY4ZEbgYnA6pT2xh6yWZbSL1fV72GT1UdEZDXwKPB64HBgpYisAr4CtFZugyAIgmCYiH/NEwRBEARBEARBEAwdsTIbBEEQBEEQBEEQDB0xmQ2CIAiCIAiCIAiGjpjMBkEQBEEQBEEQBENHTGaDIAiCIAiCIAiCoSMms0EQBEEQBEEQBMHQEZPZIAiCIAiCIAiCYOiIyWwQBEEQBEEQBEEwdPwGQXnYe2p3dK8AAAAASUVORK5CYII=\n","text/plain":"
"},"metadata":{"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"### Limitaciones de la agrupación jerárquica\n- Comparación del tiempo de ejecución del método de vinculación\n- Aumento del tiempo de ejecución con puntos de datos.\n- Aumento cuadrático del tiempo de ejecución\n- No es factible para grandes conjuntos de datos","metadata":{"id":"cf56RX3-5Ayc","cell_id":"03eff22f6baf46ed9122c3b4a5c6a74b","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Clustering aglomerativo\n\nEste es un enfoque \"de abajo hacia arriba\": cada observación comienza en su propio grupo y los pares de grupos se fusionan a medida que se asciende en la jerarquía.\n\n__Atributos importantes__\n\n__linkage__\n\n1. ``ward`` minimizes the variance of the clusters being merged.\n\n2. ``average`` uses the average of the distances of each observation of the two sets.\n\n3. ``complete`` or ‘maximum’ linkage uses the maximum distances between all observations of the two sets.\n\n4. ``single`` uses the minimum of the distances between all observations of the two sets.\n\n__affinity__\n\nMetrica usada como criterio de enlace. Puede ser ``euclidean``, ``l1``, ``l2``, ``manhattan``, ``cosine``, o ``precomputed``. Si linkage es __ward__, solo se acepta __euclidean__. Si se elige ``precomputed``, una matriz de distancia se requiere como input para ajustar el metodo","metadata":{"id":"esmexcZY0g-H","cell_id":"ce240d494b3b45aca00db8eed9e4d0d0","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"hc = AgglomerativeClustering(n_clusters = 5, affinity = 'euclidean', linkage ='ward')\ny_hc = hc.fit_predict(df)\ny_hc","metadata":{"id":"x5XFwy3G0_rL","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"c64d9369710c402fa1c62299f5c2ddf0","outputId":"f5d1acf5-0263-4d9b-9ca9-d6ccfe7ac5e5","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"array([4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3,\n 4, 3, 4, 3, 4, 0, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 0,\n 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2,\n 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2,\n 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2,\n 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2,\n 1, 2])"},"metadata":{},"execution_count":18}],"execution_count":null},{"cell_type":"code","source":"y_hc.shape","metadata":{"id":"YjiRSgGL1JXx","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"61640057614e48548186971fc20c9b26","outputId":"5727e699-f49d-4744-f156-130ec1451c4c","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"(200,)"},"metadata":{},"execution_count":19}],"execution_count":null},{"cell_type":"code","source":"df['cluster'] = pd.DataFrame(y_hc)\ndf","metadata":{"id":"grC1ACjz1-qu","colab":{"height":414,"base_uri":"https://localhost:8080/"},"cell_id":"1418f8942c9742409bc3b3a163a5145f","outputId":"4b162944-c7f4-48cc-ce66-9cc3cdcdef66","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n"},"metadata":{}}],"execution_count":null},{"cell_type":"markdown","source":"# Proyeccion en plano 2D","metadata":{"id":"BBVDNrrg2T0K","cell_id":"0e9dd055c08b497993d383360131885b","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"df.head()","metadata":{"id":"Vs_uOVjp2iBz","colab":{"height":202,"base_uri":"https://localhost:8080/"},"cell_id":"f40fde21af1e42458b716d717f33e6ad","outputId":"91fa0207-d984-427b-94ee-24db64a51594","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
"},"metadata":{"tags":[],"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"# Ejemplo 2","metadata":{"id":"_XdStMJC3YKy","cell_id":"5a6ff9e601bc48bb897c9a9beeb4661c","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"## Recapitulando clustering\n- Crear una matriz de distancia usando criterio de enlace\n - ```method```: como calcular la proximidad de los clusters\n - ```metric```: metrica de distancia\n - ```optimal_ordering```: Orden de los puntos \n- Tipos de method\n - single: basado en los 2 objetos mas cercanos\n - complete: basado en los dos objetos mas lejanos \n - average: basado en la media aritmetica de todos los objetos \n - centroids: basado en la media geometrica de todos los objetos \n - median: basado en la median de todos los objetos \n - ward: basado en la suma de cuadrado ","metadata":{"id":"px8RICN734sq","cell_id":"6f58f1949c1b4acead7cbadb624aa78a","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Agrupación en el conjunto de datos del vehículo\n\nImagine que un fabricante de automóviles ha desarrollado prototipos para un vehículo nuevo. Antes de introducir el nuevo modelo en su gama, el fabricante quiere determinar qué vehículos existentes en el mercado se parecen más a los prototipos, es decir, cómo se pueden agrupar los vehículos, qué grupo es el más similar al modelo y, por tanto, qué modelos. estarán compitiendo contra ellos.\n\nNuestro objetivo aquí es utilizar métodos de agrupamiento para encontrar los grupos de vehículos más distintivos. Resumirá los vehículos existentes y ayudará a la fabricación a tomar decisiones sobre nuevos modelos de forma sencilla.","metadata":{"id":"_I17e45Y6XrZ","cell_id":"1fe06065eece42979da408185801595b","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"### Descargar datos\nPara descargar los datos, usaremos **`!wget`**. Estos datos se encuentran alojado en una API: IBM Object Storage.\n__ ¿Lo sabían? __ Cuando se trata de aprendizaje automático, es probable que trabaje con grandes conjuntos de datos. Como empresa, ¿dónde puede alojar sus datos? IBM ofrece una oportunidad única para las empresas, con 10 Tb de IBM Cloud Object Storage: [Pueden registrarse aqui](http://cocl.us/ML0101EN-IBM-Offer-CC)","metadata":{"id":"oKu5Qhtf6gSZ","cell_id":"91000589fd0d4b689b44de27dc3d7bc7","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"!wget -O cars_clus.csv https://s3-api.us-geo.objectstorage.softlayer.net/cf-courses-data/CognitiveClass/ML0101ENv3/labs/cars_clus.csv","metadata":{"id":"4BOVSiNP60UX","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"1061af75279048a086b128a42c168f8d","outputId":"7d866b28-f3f5-4282-e36a-aa98a675d2dd","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","name":"stdout","text":"--2021-09-21 02:53:27-- https://s3-api.us-geo.objectstorage.softlayer.net/cf-courses-data/CognitiveClass/ML0101ENv3/labs/cars_clus.csv\nResolving s3-api.us-geo.objectstorage.softlayer.net (s3-api.us-geo.objectstorage.softlayer.net)... 67.228.254.196\nConnecting to s3-api.us-geo.objectstorage.softlayer.net (s3-api.us-geo.objectstorage.softlayer.net)|67.228.254.196|:443... connected.\nHTTP request sent, awaiting response... 200 OK\nLength: 17774 (17K) [text/csv]\nSaving to: ‘cars_clus.csv’\n\ncars_clus.csv 100%[===================>] 17.36K --.-KB/s in 0.01s \n\n2021-09-21 02:53:27 (1.42 MB/s) - ‘cars_clus.csv’ saved [17774/17774]\n\n"}],"execution_count":null},{"cell_type":"markdown","source":"# Leer los datos","metadata":{"id":"2Omvu1rE62W0","cell_id":"909a7e44471248778cf51a85b0eacefb","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"filename = 'cars_clus.csv'\n#Lectura\npdf = pd.read_csv(filename)\nprint (\"Shape: \", pdf.shape)\npdf.head(5)","metadata":{"id":"HswW3Ygn63Xt","colab":{"height":221,"base_uri":"https://localhost:8080/"},"cell_id":"c4fa1d05fa1d4c7bb9b886f0d6f29e37","outputId":"05bfd315-4521-45ed-f64b-86678ba6e4e5","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","name":"stdout","text":"Shape: (159, 16)\n"},{"output_type":"execute_result","data":{"text/html":"
","text/plain":" manufact model sales resale ... mpg lnsales partition cluster_\n0 Acura Integra 16.919 16.360 ... 28.0 2.828 0.0 2\n1 Acura TL 39.384 19.875 ... 25.0 3.673 0.0 0\n2 Acura RL 8.588 29.725 ... 22.0 2.150 0.0 0\n3 Audi A4 20.397 22.255 ... 27.0 3.015 0.0 3\n4 Audi A6 18.780 23.555 ... 22.0 2.933 0.0 0\n\n[5 rows x 17 columns]"},"metadata":{"tags":[]},"execution_count":44}],"execution_count":null},{"cell_type":"code","source":"import matplotlib.cm as cm\nn_clusters = max(agglom.labels_)+1\ncolors = cm.rainbow(np.linspace(0, 1, n_clusters))\ncluster_labels = list(range(0, n_clusters))\n\n# Figura de tamaño 16 inches por 14 inches.\nplt.figure(figsize=(16,14))\n\nfor color, label in zip(colors, cluster_labels):\n subset = pdf[pdf.cluster_ == label]\n for i in subset.index:\n plt.text(subset.horsepow[i], subset.mpg[i],str(subset['model'][i]), rotation=25) \n plt.scatter(subset.horsepow, subset.mpg, s= subset.price*10, c=color, label='cluster'+str(label),alpha=0.5)\n# plt.scatter(subset.horsepow, subset.mpg)\nplt.legend()\nplt.title('Clusters')\nplt.xlabel('horsepow')\nplt.ylabel('mpg')","metadata":{"id":"dKYCXqsU9FHO","colab":{"height":983,"base_uri":"https://localhost:8080/"},"cell_id":"4642ebf6c33c41e692738507d997cdc7","outputId":"0358182e-7dc5-462c-fd31-0c9fbfba9d87","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","text":"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n","name":"stderr"},{"output_type":"execute_result","data":{"text/plain":"Text(0, 0.5, 'mpg')"},"metadata":{"tags":[]},"execution_count":45},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":"
"},"metadata":{"tags":[],"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"Como puede ver, estamos viendo la distribución de cada grupo usando el diagrama de dispersión, pero no está muy claro dónde está el centroide de cada grupo. Además, hay 2 tipos de vehículos en nuestro conjunto de datos, \"camión\" (valor de 1 en la columna de tipo) y \"automóvil\" (valor de 1 en la columna de tipo). Entonces, los usamos para distinguir las clases y resumir el grupo. Primero contamos el número de casos en cada grupo:","metadata":{"id":"Nx6G2soJ9R6G","cell_id":"caf5b9f97f6a4e82b21efcf2f65cf2e0","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"pdf.groupby(['cluster_','type'])['cluster_'].count()","metadata":{"id":"o4nrXzgR9Wbj","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"142f29aad87546689ac515ccb5bae49f","outputId":"542ae962-d5f1-4c35-db54-016a006fbe07","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"cluster_ type\n0 0.0 29\n 1.0 14\n1 0.0 10\n2 0.0 26\n 1.0 4\n3 0.0 21\n 1.0 11\n4 0.0 1\n5 0.0 1\nName: cluster_, dtype: int64"},"metadata":{"tags":[]},"execution_count":46}],"execution_count":null},{"cell_type":"markdown","source":"# Caracteristicas de cluster","metadata":{"id":"4YQRFK-z9YSA","cell_id":"5b65491c0a3a4657b80187c07ca1b526","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"agg_cars = pdf.groupby(['cluster_','type'])['horsepow','engine_s','mpg','price'].mean()\nagg_cars","metadata":{"id":"V6fG4PIq9ZvD","colab":{"height":355,"base_uri":"https://localhost:8080/"},"cell_id":"7fda4b93f07445b58c8bff99f1442dd7","outputId":"20fb37f6-9113-4c13-d552-9c6d1d2321f4","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n
\n \n
\n
\n
\n
horsepow
\n
engine_s
\n
mpg
\n
price
\n
\n
\n
cluster_
\n
type
\n
\n
\n
\n
\n
\n \n \n
\n
0
\n
0.0
\n
210.551724
\n
3.420690
\n
23.648276
\n
30.449310
\n
\n
\n
1.0
\n
206.428571
\n
4.064286
\n
18.500000
\n
28.727714
\n
\n
\n
1
\n
0.0
\n
294.700000
\n
4.380000
\n
21.600000
\n
57.864000
\n
\n
\n
2
\n
0.0
\n
121.230769
\n
1.934615
\n
29.115385
\n
14.720385
\n
\n
\n
1.0
\n
133.750000
\n
2.225000
\n
22.750000
\n
15.856500
\n
\n
\n
3
\n
0.0
\n
160.857143
\n
2.680952
\n
24.857143
\n
19.822048
\n
\n
\n
1.0
\n
154.272727
\n
2.936364
\n
20.909091
\n
21.199364
\n
\n
\n
4
\n
0.0
\n
55.000000
\n
1.000000
\n
45.000000
\n
9.235000
\n
\n
\n
5
\n
0.0
\n
450.000000
\n
8.000000
\n
16.000000
\n
69.725000
\n
\n \n
\n
","text/plain":" horsepow engine_s mpg price\ncluster_ type \n0 0.0 210.551724 3.420690 23.648276 30.449310\n 1.0 206.428571 4.064286 18.500000 28.727714\n1 0.0 294.700000 4.380000 21.600000 57.864000\n2 0.0 121.230769 1.934615 29.115385 14.720385\n 1.0 133.750000 2.225000 22.750000 15.856500\n3 0.0 160.857143 2.680952 24.857143 19.822048\n 1.0 154.272727 2.936364 20.909091 21.199364\n4 0.0 55.000000 1.000000 45.000000 9.235000\n5 0.0 450.000000 8.000000 16.000000 69.725000"},"metadata":{"tags":[]},"execution_count":47}],"execution_count":null},{"cell_type":"markdown","source":"\nTenemos 3 clusteres principales con la mayoria de vehiculos.\n\n__Cars__:\n- Cluster 1: alto mpg, y bajo horsepower.\n- Cluster 2: buen mpg y horsepower, pero alto price en comparacion con el average.\n- Cluster 3: bajo mpg, alto horsepower, el mayor price.\n \n__Trucks__:\n- Cluster 1: con uno de los mayores mpg , y bajos horsepower y price.\n- Cluster 2: nivel bajo de mpg y valores medios de horsepower, pero con mayor precio que el average.\n- Cluster 3: buen mpg y horsepower, bajo price.\n\nTenga en cuenta que no utilizamos el **type** y el **precio** de los coches en el proceso de agrupación, pero la agrupación jerárquica podría forjar las agrupaciones y discriminarlas con una precisión bastante alta.","metadata":{"id":"AbRbJ-Hg9dBT","cell_id":"b5bf97a0cb48418fa5827e905cb47c4a","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"plt.figure(figsize=(16,10))\nfor color, label in zip(colors, cluster_labels):\n subset = agg_cars.loc[(label,),]\n for i in subset.index:\n plt.text(subset.loc[i][0]+5, subset.loc[i][2], 'type='+str(int(i)) + ', price='+str(int(subset.loc[i][3]))+'k')\n plt.scatter(subset.horsepow, subset.mpg, s=subset.price*20, c=color, label='cluster'+str(label))\nplt.legend()\nplt.title('Clusters')\nplt.xlabel('horsepow')\nplt.ylabel('mpg')","metadata":{"id":"7I-wHq6s-KPC","colab":{"height":765,"base_uri":"https://localhost:8080/"},"cell_id":"2a2a6a4027f4421985026e86f11d8a5f","outputId":"e76701e3-7d25-4c03-e8b5-de08ab798bc1","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","text":"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n","name":"stderr"},{"output_type":"execute_result","data":{"text/plain":"Text(0, 0.5, 'mpg')"},"metadata":{"tags":[]},"execution_count":48},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":""},"metadata":{"tags":[],"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"\n 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