{"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![hierarch.gif](data:image/gif;base64,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)","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![ejemplo.png](data:image/png;base64,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)\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":"![ejemplo.png](data:image/png;base64,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)","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![ejemplo.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAecAAAEDCAIAAACAuluXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAHtUSURBVHhe7Z0HXFPXF8cfDgSMypQhoIAgq4Ks4kBw4WxDsdZZtBattdTW/o3a5WjFWqhFAUcFrVC3BUNFGYIMARGRocygIBAIMyAEwuZ/w33GAAECJCHA/X74xHvuQyAv7/3eueeee65Ye3s7hkAgEIhhwhj8XwQCgUAMB5BqIxAIxHACqTYCgUAMJ5BqIxAIxHACqTYCgUAMJ5BqIxAIxHACqTYCgUAMJ5BqIxAIxHACqTYCgUAMJ5BqIxAIxHACqTYCgUAMJ5BqIxAIxHACqTZC9Ggoj/7L30Ls1KQ1926llr+Kjj2w2ENM7NKBS5S8hnasvSbVP+QT2XNb/8hgmYD2+gz/qAsxbzgKobUU3PT73L+Sa2m09orCexcDFk86JWZ2/dAfwQe2euuYXXMm0xis724tj4n57Sa1o41AiCJItRGih4TCwp1W/9s4jtEsbfyegtbCuQcOqCtjbZP1VTUkxDCxyUbLNXTnGRz4Rp9lYg2UKxG3JhpuXzAFGDht5WGXim79k5PXhndwIiavtnqr0SpFDDOY9eW+Fb/7bI34YcKZjwJdYhgYNlZhwVxHhczDt0qa8W9HIEQLpNoIkURMdtEmFZlQSvCLBnCVys7V+VSZceZOfg3rWHv9i/wse23d8ax2Q/rT/cFTt9vKjWMdwml6kR1QOX48OTOQ9d/7ZPy0uRrLsLprTypaWOZYhUXGFndjbrxq6jiKQIgWSLURoslYBQut9TI1N6PKgHa2VzMKazHaPy8Ta9oxjPk8vHbFAvmOa7fu6U0KtkJd7Z2bDahPCixfcnKek26NV2BRPd7ZC+31xfQcTHyZ7pSxsENMes7ihuM+rzseEgiEaIFUGyGiiCmor14/Pu4G5UV9c+HjgrGfK8+lFd6Orm6vp4WnKi6YyfK0sVZ6cmDr7BmETqJdk3/nscoKK+1VWyamnUl7ROcWJYGkZ5/744Hrodtr1ufNPm97aIXM258zbpq2bN21/JwO3xuBECmQaiNEFbHJFquVZB6/Dk4tehwo+dlP72+Y13zzXv7Lx1mPV2jOhFduWcWz5DGTpXAXuYPWsmhK0ac62mOkTNZozaMV+jzgPifJQkl+/qKZVtYzVlq1Xz2ZFJRd//Y7xSZIjRd/VZ1f3op3IBAiA1JthMgCgyR1V5wj/lLRMJNXsl4/uerK070na+3x8Ag32ukR12jVj5+d/OOB+90KcULL9YuZmT1NLMrJzTbVsFxiQfprhbMC7fOdT56jUDZC5EGqjRBdYJAk616j+XLVyZiE/lKtZYy6e61qeHgEMFXedE5L+Zt3qtycmXVr5uJrp1bs27ds308f+XgrEx68vP+ciR/uCfGJqjPHYnEVryqhc93eWN/cNEdeayqnF49AiARItREiDAySKE9bbkYA1nhd7Q22Yxd8NEOLfdmOVZi/SSLlNQMPXbcz4m8WmqwCEg8Zp7bMwFG59uLt1/R2cLDkwa3URBoXx7udXpaQ0CqzaYaZIpTplqIc+pS16tpItBGiB1JthCjDCpJs3jrTbHLHNOEY+QXr1dfNlePQUkmTzXO07r7MAlLcXpN67eHhPxtqMqj46hus8fWLSuYULOvM49+v5ZdRX/35eYTt79l0RsWT+5QEOj4b+Yczeb1tZIKNMfkPY3V4QzSXx9ybsH+DmlSHhUCIFGLt7WgRGGJY00wLj7ncMJu0ulPKNlfa6em/+EiR9mr0KsfNBeTIq5NMSUtk+/yBCITwQaqNGAE00yIS/Mfq717ITt3jRnMp2bNQe4eJAaGXIWYr7dHTIGyWg5UMkmyEaIJUG4FAIIYTKK6NQCAQwwnka/cDOp1RUcEADSkpcVVVWdiJQCAQwmTUqTaVSq+vZy2lSEsrhj3x8YWwQaFUBwRUwTZXzM0lbGyUQaPP72Tj6KgsIyOBG29RV5+iovI2Oe0thoYqeKsDNTVZSUlx3EAgEIi3jFjVhn7x69eVDEYj1GVX1zzwSiTK6OhIg4ah4VQCYQJoaGrKA98ZNAThQVMoJXiLA/hX4UYHwExLK8ONDuBfy4b9wICw/3gIaM+YIYcbSPERiBHNCFFtJrOpsJAO3OesrPLq6gYgeVDmoFcLdZlfWtbEbKIX0nGDG5WvK8GrHIeM9oSsmqw4b38SOzgDYQ8UIMXFNQUFb3Cjm+KzH1SQLp5+Fx9fR0cJbyEQCJFkGKs2lUrPyKBRKOVhYfkBAVWOjspGRoo6OgrA6xywQJd0uMbFbzWxsMNJb6hqoHnTYA9Eg6SBt7gxRX0KeH3DIaM9kddZXiXMJZTfOtQS0hIKugqwPYEwAT4DxKXEZfs/GmAHhSCcnn4XH7+qqsGb4512D+908fFRVAeBED7DTLUplBLgZsbHFwJ3EriQS5dOhzI9MA8RaDTwi8sp5UBhaZG0hqcNyo7KEjISQHYnd3ij8pryQChBQ0koHiiDzmC8dahry2trS2thu6a4Bj4DqinVVR3xdBmijHSH+zzVcCrQ9EmKkyYpTCLIEwiyrJXf/KJ7eIfTx+8zqtPFx4dYWqrhrbewI1Rs0GQvAtELw0C16XRGZiYtKiqXTM5TUZEESj1nzjQ9PWXZ/isUnUqnZdCATJemlgL3GWi0opGigo4C8GT5LnkCBbyRpg73GQ4LyrPKG6ob4IMHCjpQ88lKk8H74j0Iw3e6+PgAYObmVuDGW9izwWx6muzlOrUrLS2h+3ZQ0h1FxUkKCpNwgwP0YEAMX0RXtWEA5OzZRHADOzvrWVtrDkypm5hN+Un5RclF+WH5zGKmroMulGnhuM/CBwo6UHPooee55sHAi5qlGhg6yKrLDqOHUxe4Tu2Wl9eWvh2UdAfOc+AGB71nAXF9PAC6DxTYdAkWQVDICCEIRE61gWcdGPjC359SXMx0cNBdsEDT2FgdP9YfGHQGLZOWG5Wb+WOmnrOeqpmqsr7yAILCIwBwKugF9IrcisL4QiDiwBmfvnT6tDnTpptMHyo3XMTh+njgOlCAdA8WQbqEjCBcA0fdk0G7jxLk5QkD8FoQIw9RUW3gWSckvPb1fTFIsYaeNVusNa01kTZ1AYaJ0m6n0bxp8BQp6ykPXwd82MFjMmj3UUJkJO3p0049pM6z4r3MFSPFH0kMsWoDsX74MBt41qC9dOn0AYs1AHiUidcSs3yzZIxkTLaZ9CTWVCo1Pz+/tLQ0Pj4e9lRVVXl7e8P24CESiTo6OrjxFmlpaV1dXdgmEAgzZsyAbTU1NUlJSdgWPuCM5SfmUxOp4Aln7GGsa6s7UqNGIxKY7YobHXDOFfeSDMrp7HPGfNgqjyRexBky1QbX3OHDQcB9cHIysrTUGEyacAmlJPXf1Dxynq6Drtkms57cxtjYWFdX1+LiYjs7O6ChmpqaUlJ4wc7uOjtgwFOhvr7rtuCvX79mMPDkEPAHFBQUwDb4e2DD3NzcxsYGNCwtLcEr/NuEpulAvimRlBe+L0B7Hmme9nxt2I8YkbBniTljPpwqz+nUs9357qvSUGr/UDE0qg0ke+PG68C5/vzzeYOZrgF6/cT7STWl+j2H9wxXGvYUCWEymYcPH6ZQKCQSaf78+XivKAG1HpCbmwtMOA6Amg6dd3V1dRUVFUNDQ3l5eVlZQUXnc2JzMgIywPlE2o0AsN15Tn2HOT/s1H72zC1022E4HqXoCJShUe39+wPU1ac4ObG8y4HB1us+9QUIor29vYODw+effz6E4YgBAwUdeOslJSVpaWmRkZGgEzjmQMG1tLSmT5+uqqoKv5NfAO2Oc42TUJBYdnjZ6Jy/RfAODNOzZR1qOjtFB2o6nGuFgo7CL4NnCFQbfMxbtpCjorYPzMsGw/nY87F55DyrY1YGtgZ4bw9AyXZzcxNNF3tg0On0iooKoOBZWVkJCQkBAQFgDGFpaQl0nI9BlST/pOi10Qv9FprYm+BdCEQ/gZoOA+7sahOgDQMvwD2HJXRQimS/GALVPn48RFdXwX5AWgCkJOFEgpGTkek60z4zQ0akZHcHiHhBQcHz588fPXrk7e0NFHzp0qX6+vqD98HpVPqDow8kZCRWHl2J8nAQ/AIGXmCiPYynAymHhYMMDacqKU1GOt47wlZt8IFJSZ2trHTs7yiphFISsj9EWkfaao8VL8P2USLZXWAymUlJScnJyb6+vioqKuAMLF68eDDy3cRsirsYl+Wb9Yn/JyhaghAcsD4a8Mq76DjwxzU15dXVZVFchY2wVTslpeDMmcdeXutxmwfYwsFLSAQCJdvJycnBwQHvGn2Ak/Dw4UN/f3/QBufBxsZmwNOYObE54XvDR59wN+Y9enH3atI3f9VjptNO7zf+4MOZGhK97UyJ4CNAxwsK6Lm5FfHxhZGRrJlPJOIQYau2p2ekjo6CLW/iC4B6oeugO+/zeTwO0oG/uWfPHiMjI6DaeNfohkKhhIaGfv311x4eHra2tgNLcxytwo21PHuga5aOudpl7ZuB9v8dQjhFHHjisHjcgEsSDWuErdp2dj6enh/wmBUU6RmZH5a/6MgidZ6X3iDJ7gk6nR4ZGXnixAlwcrZt2zaAwJFICjfj0aHAJ0TiPlPOOdh3PjLBdIqdgcQYZl1sUIvJt0bf7TazVB6PfxdvINUWTSgc5T8dHZWtrNRnz542a5bSaIiGC1W1qVS6k9NdMnkrbvcKkOzS1NKP3D/ifR4MSTYvwNVGoHHkyBFjY2PYySOiJtztZam7dSMCti5N+9NQtnPooovathSnkpZEeqvNjiHbGEn1I8qBVLsnmpjMiqKu9RrFpaTkVficitonUMGDgnK8vWkkksbSpTP19ZVHcMK4UFXb3z+puLiGlzTtgpSCiCMRG69v7Ffqwo4dO2RkZFxcXHBbZGnIe/RfwFWXX/56hpl+cWj/ZuKHVhpcSswJEqjdOjo64DnXr+nKJP+knKCcfj1NBUZz7j9+K46W55ROvZG+dr16J1HtprbMeOcrc38aezpl8x6jd8U6+mTUqjYU5TcV5TXlpQ0MBi07DXRW5lEqngfAbwDMIpLw1lu6fAMAfo/MNHVpJdaK+ckKilPkFSbJyU+S4b+qMplNSUn5yclFvr5ZKiqS9vY6ixfPGnnyLVTV3r8/gEjUn9/XorsmZtP1jdf7FRgBeHp6pqamuru7DyJhufLRIdITots+U9ZmNAKG8eyPD8xImGvi3X2mQxOVA0OToKCgEydO9HcJ0gCGQQKhqcB9efI0kuTJ1ZmY64dh+zTwAgUddFPb2ocHri45O9k3dd2nmv0IknT+OS0FNwOOjrfxtpdju+vtFYX3A5JOfpsXMUvx5w0yjS+od9Kltv606BuiMmFYzVzWVtGp2ZlAo/OexRcmRNbTngLBlZgsrazNKqGjpmcIXrm60nABAWikpbGUHcJgMIDZ1tJSz2DV0Z05TaW5kQkapa8oEuLirQVZzPIXmiZrlGbqaZiyqjiAny8/TU2cf+vgUlIKYmJyR6R8C1W1xcRO1dfv7jPwBLy5wvhCogsRt3mAH5INhtuBu3U/CNganPbn8i7DbQEw9KoNAbfc+fPnyWTyhQsXeA+Y3NxxU91Kfa7DXNweAtprHgV/EK0TtH+C72r/Lws1w2NXLZYdgx/kVNtdkzKyq8vT052/Kpp+eo3HZ2r9EtNOqt1Gu7Ty9jdSFql+lprvfhX4ptd/6JJJ8xcW+5goY81F/v+Zr6U7Rm/8xUrUZ8kqiqnUrIzXKYk5YWRgai+1Axo9dbrmJHl5roEOuDggNzc3Kyururo6MjLy6dOn7Co6hoaGBMK7twxM2GCXaoDAUjzsqm1b7O0kxo+b1N7MTA2QUzEyXGirPMtwiqLSVPUZKjP5UCCIU7537zYzM5s+7GcvgWoLh+xsmqPjDdzolcvEy7RsGm7wgIeHB5FIBFcGbg+Qhle+27S11DDC9hv5jXifAKlNdAUXuo1rYi3eMaRkZ2eDc+js7MzjaaytrD1nfi4/OR+3hU8b/e6uK6dTmO3tLUV+t2Uwz8/8KtrwYyyaE0O1MDcZG19Hh2sO67y0sFPa64P9Ut4048d5Bf4cLdc88B8bUyI+ND0rg13q+L0cNOe5arlhDs+KoVn8zOHtfxFBauiVGY9j7px0dllp7ulADL7gAUzQiR/uDLgekpOT/fz8SCRWoAMINGgAMyYmBlwzlZXc/xfvgJ8Afk5ISAj8FSZz5oDfAnR8z8aPD66x+XE2dv0wKfKaTy9/Ie8kJ+c7OwdjmJuHRwSQI7x3GCI81fbzewZOFm70zDO/Z2QSGTd4AFw94EoqLCzE7QHTmHzahvTvvd/mYjJzXRPq8F7BIVqqDQD3J1BtcDLBXYR39QqQbCDcQL5xW7i0vnpsb//4VSur3Vb54ltlN2xZVHpTx7EOONWWZZa9dF/viREuuz5lcIp7n3D8nLrHx26djkz5WfeU4bGXna6QTqrdVpf4YC52Ztdder9+kaApLypMDg+59I3jEWMMSHbvSg1uK+gMAQ0FYurj4wO0e/AazQvgt4MrkP2cWG//0aFvv/7ti63OtqZ9PmN4obKyFmgRkXgZfMXEUOrrheCi8RnhqTaJRAbnCDd6BggB74423yS7vfVN9C8Lj8XVNb04t0wZ0/0pvLIFPyIouKp2Y/6Nr7f75Q/h3Q5PKfB9cLtX4nzi+vWI5R/MlNOXTVdfcQB+NOvr6jobTwzzOvb4nZZ2UW0gpozoe2rA+/7mRb/u+Hc/503G/tUx2a1Au70wZXJwZccTAwJV2/Taz66hLj/fXKR14YvzOcWi4WkDgYv/zw/oHfCsgeTlpibjB7oBtdLR0REqNbgGeHx+CxTOv+rLHY6nj/7sfWg/HCUAHxy8ncaBDrKBHAFRMjc/B0R8eGm38FQbnB3wlMONHqDEUHhXASDW4IPkz4XVRr27a9PpFPDnNRX5fSmD6X4mcOnkptqtmRdtlQl2vtCFHCrAiQVOFnC1+oyWNNY3XiZeTgtJw21h0VaZcWDB/eg37z6ixpSH84Aif/as6G0fP1S7ITf66ekv/gJjasz0pvOBK0TfUvDjO36Xx8YbZe9+PVTt1aHBibmPw564bPuLoH3zYlqdgC+h3gBaBnxS4Fn3LtbQrYZjLPChQ5+6z899SAB/FfjbwGUJ/1SvMx6hV33YQwcwjBiYA56dTfPwiAAf8TDSbiGpdmFhJVBt3OgZIAFAuHGjV4CygA8PXHC4PThaX/na2+Na2VYZ/K0yhi07n94k0Juuu2q3NaZ4fmhqJIOt7nh+DCXgDgHeFnBw+ryBwcBI6HGShuyLVxec7jz50FZ2Y6MHRrhyMbsBdnRR7bba4pvfnMcIl5zjagbyubJ+/rnV3wS5uoa6/nrLhtA5INMlrt2Yf3reKWzew5ShEAEgXkCmgVhfP0wCws3VFWWLNfB7wCtoCyf6wS/Y8g0u0Xv//fc45D4M0wMRBw54eVG/B9/AoQTaPVz8bs6JcAFSUcGwsQFa2Bs5sTnglZdi/Ewm8+jRo05OTnyqDMV4Eeif3xh89LOtgG17rxTN0sYe3Ljz7N0GTkLhTVLgiyUnf3XSjfMKfNF1OxzhIikp6eLiYmRktHHjRiqVivdyQ0lHyeKgxb0D93Bb0LTXpJKjnU9UNObmPUiteZv/1JgXk/eyRQxjVJw4FHErtfzVo8SzXnmvMKz0RsRnW69v/fRvc+VbPzyXc79nt3/upAHkBzVnZt2aufjaqRX79i3b99NHPt7KhAcv7z9npbJxQXyi6syxWFzFq8pWvEco5D1PuXFk//nNK0B719XgDUdc9Cznc+bSgRsnNjb2+PHjUlJSUVFR1tbWQL5/+OEHcB8JbqsNQWBsbAxuf/AWtm3blvLixdzlqzIasHk/utls/6qBUfO3o/3f3+5IeRjaxOzhA+qGrCzBycnG3/+T+PhCa+tLoaHp+AHRBFdvAQOeYOALN3rghuMNHh1t8IAFT1rcGDRtlWEHFvwS/YYdlQA+r/s8DJP5zI893BYA3XztN+H7V1/Mbq16fMwGUyYFCzywzhPQo+lz5gB8dsKPkwiPttroQ1c5g+Yd85+ndA9kVMIrpLOvzQrg6J6S2ZSQL5RIFwyGeDoQwVdyeAhX5xo6p+B+B/dOSEjI8PKs+wQ8e8CbAm8NXKs+Pj7g3eWmJgPvGwZPegnlcwVmuxGJl5OHMEWqV4Sk2iQSufdTAAbal4mXcaNXwMXHy8idZ+qyL25ZcDq583A798ZGLYyw6WK2YHJJmLnRN92+MJUBjwbTL9xuRucy25tL7+7ffCO3DX9maG1ktUUCOD/Zu3APRZxEWLS9SbkSsIhwcf/F7Fwm/EwaciMjv9A9hYHOK6/LasrjA0LWyeCzka7H7qwzPbtoV2RUMUdGi2AAAg1kGgZDuGoT0C+gYsQORp5YdwdcpdDPcHZ2zs7Ohuen9+dZT8TEUMzNzzk7B/c5Gyd8hKTafU5FRnhEPOvLGQdABeGbZLeVpdxxddBWNv/mbGAKe3KJkRt97dg6bQwjaK8/dvNdvyBhPSdMV39zzBXw6xc2BCEE1vsBL8INPsFg52DcQAie+P/8oF4X5XSdkIdhaxKJBD41oGKikAoiTKDrDZ9V4DyAHuh6g9MFThrvk5b19Y0+PnFAu0JEbBwpDNUGet37VCTw0dwwtz49NaAaYIjX52h9GNLWlP6X/c9Rb3CzMf/GdgK2wjWxGu8QAaDL1svzsrG+sV9Zm4iBARxGmMnHVa+BNw2dTSDZQLD4NyQdloAzwKndcJ72iDEGXnnXbhgwAV+i43QLQ7XB2yb1ms8HvGzgqeFGD4DrD1yL4BGK2yOJtoroQ1uOPa7CTdDBymMh6B4Iw8OmokGfsSlKDOUy8TKQb9xG8BsYv+aq18nJyWzneph4NmBQe+v0F/NY02umu07ffPQ2AMVnumt35DWf/mo3dLpFJNItDNUG44veV0Xy4qOBKxJcjrgxkmgrS7lyYBHBdv/FqLdXLSM38swXugSMsGL/lWfloiTczs7O4IPADW6QSeQ4nzjcQPAPINOXvnEEkt1FrzmjAaAhEOf63TSMsunqTQ4OW9bZaBNMN/50Ma64ebBXZ3OiqxaGabkmCnpNUk9+Nxi48BjvBpINhBtI2ZCnBgpDtcH77CWBBDhoN/qqTwKG53ydgUQMEPARgA8CfBy43Q0eg10I3oH64rLSPDm800CTMxgCHG28V1B0SXlqKLpL0sXUlp1+Nsj5eqGpNgRqNzhjMNYPzi0YuIBzCwYx8Bt6B+g1iUR2dLwxtMItDNUG77OXWi19JvyBEw0uzRE//T1cAB8E+Dh6kQnga6NpSX4BpxyBanP6g1CvMQwDr8K6L7olqjY8PjYDw+acThlchqqQVRvi5+cHQ0nw7OWmJsO4E4/Lc+B6nMLCIVMkYayyiYykyctzL41Ip9KrUqt6WVlDpVL37t175cqV4bUKYAQDPogLFy7s3LmTTqfjXZ0xXWeaR84roZTgNmJAFL+knNlql/cs/jNv/+U7nOBiGQqFsn///hUrWOtogOI4OTkN2X3RWF/TiBGmywxkzdJQY29vHxUVBRrgTPr7+2vMNv7Kh6xhanlmtdqTu6zdsXvHycnGzW2Jvf2tlJQCvEvI4OotSDDMDW91A/hlvcxDwvE4eDDiNkJk8PHx6SXADaclcQPRT4Bb3T0kAkb04IQDDxHcDkMRKmT72tW1BS8SH4f67F9B0N5xMa16kIHtIfG12RQWFoKzCkQGzt8CX/vSN47gixenOyaGApSNl4p4fEfgvjaVSicSZXCjG6meqbPtZuNGN27fvi0jIwMejLiNEBnWrVtXVVUVGhqK252BgydYogDRL1Iehp5eaw0a3/hFGS+2BQ3oX2/ZssXS0hJ4iOB2GMzWH4Pj9b3fv/3qp99///6rrS601dtWmE6VGIau9jtUVVVdXFzAxQzOqq+v70QZuc9OeekvWcmL0z1/vnZ29oa9e8NjhX+d4+otMHpJ++t9HhI4FyicLcrA9PmePiC4WhJlAfIOnBnjzBIZav+ak66zkWUJZ9bLYIRlbk/fDCqw/c7XbitLCbywf5Eahs11+Pm3Y/sdbLTnrj9Gzq4VRmkHcBmDU00kEuEsJXS6wcfRZ3pJYWGl8D1ugat2SEiacw9zU8HOwT0VrwDXaO9TXghRoPc4CZlE5mW9KwIAZx3ZWWhARGB+iAjoNaTbbGR7ZfTPczHM6JvgErxjQHSOkMDf8oUfqzZ5WzP1zi5lgu671WcCJyQkBJ5z0GbHqfqMlsC178KcnBR4hITBaNTVVcANDpqYTZk/ZmpbcZ+HdHNzs7Oz430bQ8SQAIaWYPyekpKC251ZcnBJ9NpoBp2B2whuVBRT//52R0Z40Gfe/u9/YM9gMj09PVesWKGiojLU8ZChRWzcNNNlyxSzriXktOBdgsbW1tbf3z8oKGj//v2tGLZ8h9Oyfcf+drTPjI/Fv4Mb8+drw8lJKpX7/DzfEVKl1u7kJ+UrOypz3eQbqACZTN67dy9uI0QVIChHOsDtzhBkCe/7vB97vrcrfpST8jD0zGo1/SUrPzvlNUZCCui1nJwc6Bd5vW5lvHrod/sFYdHm9RbyeF+/qct7dPus151XGPbqhvfZWzF5DZ13Hq8vyc2hyyzTVRuLdwgBVVVVd3d3Q0NDa2trIETGi20/PnEh8Je94JPCv4MbQLgPHrQ4evQBk9mEdwkU3OcWGD1V+wt2Duaapg3Gg0QiEcVGhhGkju1fcaMzqDhJT7Cj2GAADq55oedf94euayMdtqw2JWDai3adiSrG96DgEzBCMtfh599dXX76YpGh6RcXHvP5V/AKkCDztyU0wGcEPqngC32szfbwiOi9dAe/EIZqd19iA25mN8yN61QVuP97CZUiRBA4b9xT+LW/2zePBnJTk11Wmkde86murAQXPDh7IqrXwgaqtr1rcHzi49DrLtvNCXO2XUytHaKiDoUdG2aBjwa0G+vrL33j2Ltw19c3Ojre6HMjgcEzNBGS/KR8PWe97uEROp2+du3aPXv24DZiOKCjo2NjYxMUFITbnTFcaUiLpKFFN5AmJjPEy/PfgzvBuLtRTmnZihXx8fH+/v5DuV5G5FDQnG1qarlsA+m0l7PK5c9/uPR8aKZGVFVVo6KiUlNTYZh782/uxemp4OPDD3dDUlL88OFla9dGCzrALXDVrqpqwFscFCUXqZqp4gYHJ06c8PHxAScLtxHDBEdHR/DZMblt+ASezVbHrKJcWUvRRjnFLyleuzYya2tsDnvsPXQkLCzsypUrLi4u6ILvAYmprDOT9exVFd4hdCQlJd3d3aWlpYEryYtwq6rK+vktPHr0AW4LBoGrtrc3TUdHCTfekuWbpazfdRtJCoUSGRm5bt063EYMH6C7/ejRI9zujIGtQUN5wyhfdPPkrv/VPVsMP/o0rqTa+bffSCQS0Gtw3vDDiO600zMTXmAyi1aZTcV7hgIg3D/88IORkRGncEdd98UPd8Pe3gS8CnbnSTxSIjC6L2evLKzkutyZXUQRMRxJTk4GnyBudGM0r3FvrK+/fph06RvHe+Q75h0bG4pGCraI0VabH+/nzNpDqmM20vVX0rq52ou+co+iDsli9+54vK0vX15U6NJrmcDsbJq5+TnB1QUcAtXmugcCrKCIG4jhSe/JP6Nz0Q28w4MveESGhwPJhkvvEMMUtnAX5WQfMcZ6WYDj4REBvnCD3wzBbGRhfOG0OdNw4y2urq5gzIgbiOHJ7t27r127hhvdeN/x/YQTCU3CSWgVDZ7c9T+zWm3ZvmOK5gtIBw/6+/ujkMiwxsnJCbwePnxYZaYO8WTIze+dmrjN5QA2bTL7+usUumCWmAlWtcEfbW4ugRtvyXPNm24yHTc6gIvr5s+fD03EMMXKyioyMrKnCq5KOkrKNsppQWm4PaIBN/ONI/szwoO+uldovNh2586dFy5cQLOOIwB3d/eqqirwAAYf6zQji/vn3PADnZGVJXh4GF+7lojbfEWwql1RwbCx6TTrWEIp6b4kEjhowE3DDcSwRVJS0sHBAQg3bndjlLjbFcXU02utZaapb/7NXV5FNTY21sjICJVnGBmAixz42idOnAC+5qov9+aEkYtfUvBjnRGcuy3sCElxWrGikSJudABcM3CfAzcNtxHDmQULFvj69ji9DtxtXQfdZ7ef4fZIJDM+9sxqtTWH3NhbGbx69WrlypXwKGIEAMZMcGOQVgwDH/SdX/fjBzoD3e3ISO6aPhiErdrlWeVdgtqBgYHAQRPhkguIfgA8yuLiYiqVitvdMNtk9mTrk5FaUirqum/gL3u/uleoZ/ku3JeWlmZoaIgbiBEBuM6dnJyA0w0+aDkNnZ6Kcdva6p44kYAb/EPYql2SUDJJYRJudODv729ry6r+jhgZgGdwQkKPVypBlmDsYZwomHjfENLEZP797Y7cJ492XQ2WV0Hx65EPLHgZGhq6cItj9LkTXKcldXSUVFQk+b5RmbBVuyqgCgyTcePtPCSaWB9JLFiwoKfV7ZB5n8/L8s0aSWvcYSBbxcDos1Nek2TQwvRRgaSkpIuLy08//SQzTU3NwiY5jPs1v3u3WUxMLm7wCcGqtpqarKtrHm68nYrEjQ5iYmLQBmMjDDB49Pb27imTBCAuKW5x0OKJ9xPcHuZkxsf+7WgPA9l4V2eqqoZsQTZCoLAr8Kz+5mBP7raZ2XRf3yzc4BOCVW3Jzrkila8ru0xF+vr6Ll68GDcQIwUSiZSZmYkb3BgxJaVgIHuz+xXOQHYXwDMMjSZHKrACzzgJSeBuv0pNwns5kJUl8D1IItQISU1JzWSVybjB2giYqqKiMjqSWFsZuQ/OH/zfofNXfd09bme86Vz+faSxdOnS5ORk3OAGcLeXuC0J2R+C24OjnVEaej7w20NRN3wjTt4uYgjl5ALHivzncRjIVpmJRHmUAt3tpKQkoxXE1OAAvLcz9vY6z58X4QY/EKpql6WVqRiq4AaGZWRkgNsbN0Y07bT7+1fYf5lssGXnZodtBolLpSebrfnU+WEFfnykoa+vHxYWhhs9wLd93Nsr7+2/s/zLqtlb5m1wMJuTeHfS5PNrPn3wsKIN/wYBUFFMvfo9q57w5t/ceQlkc62GiBgZbNq06fLly1pGJtkBrrVVXAKDlpYa/v78zP8Thmqzd+UBg2JxqXcxk8TExNExcmytePbgnxwGpiQ9CZxvqSkKUhgm98FB0qIB790k4oDxU3FxcS+hbchyl+Xhe8MHu+imghr4TwOGSXSc3PFTFMaBU7zm4MLF8oK6totfUv52tNd838ruux9gRnbvkEgkuJ89YkRibGycmprKYDKNPnV+lcwlOUpHRykgoIqPm5MJXLVJJI3CQvzubXjaIKv6zjFJSEgAThlujGTGTFHTng3+bWxuAYP31ubGVowRmpxd2QoPj0js7Ox6D20D+LPGfYqM/mwx1mll7Qnb3tzYjjFqHmcLKh88Mz726p4taw65WW90wLsQ3BlFUUEHBwfgg86aZ/06hXtKK5DB7Gy+zeIIw9eGMOgMCY6aJGDMGBAQMDqC2mLis9edOL5WK/TunfAnj8nkgNcE7S9Xz1UCXuGIRVdX99WrV7jRM1Z7rBJOJAxq0Y34tI0n9D/UqrxzJzPx8Ys7AfWY9rR1c6XxoyxaCm76fe5f+U412mtS78UcWOwhJvbX1kOhzgeuL9L5a4NzCoXRR1DlyV3/wF/2fubt38vcIwIyqqKCCxYsCAsLU52llxNGxrs6Y2mpxsfQthBVu4IBHCvcwDAwZhxFRf7Epppv+9/+L3QnvqFVKth5ZVOS3NcoAwfxHU0FN/d87l8wYvwRQ0PDtLS+nWgw9tJ10B3copux8uZm3+/XmDWxoaBy0kde64uTPlyjzLGtd1t52KWiW//k5LE1WWyy0WqzT1ZJgt9P/HLJj79vfBBhIXMmiujysgb/jq40dewclhEeBCR7AIto6uvr8dZoYXRFBWfNmuXq6jpJRlZKQaWimMvCYE1N+bS0MtwYNAJXbUPDqWlpxaBRnFY81fDdnhSj6jpup937ztr2WJvxknnvm+ppTldXJIzrpNlYW27YpX9v/RP1TlmGOWpqauA6xo1eMdtkluWbRR/wVnvtlfe+uzn3WIv5kplzTZVnTJdTInBINhDcF9kBlePHkzMDX3DZDA8ybpr6smVjs67l57DCLF0Bkn31+z3F6amwGhTeyzOWlpa5uXxeZyHyjK6oICzIQafTZy5YSs3KgJ2cyMsTKJRq3Bg0AldtAmEC3sKwCRxtcB2Dqxk3RjptZXnxOYxClw80VACKMpKqZhtOPqQ14oex9qYX4QGVU8eTbwa+GCEFOsB1bG5u3ueEJIAgS7A4aPHInfvuZX3TVpcb34gV5n6gcVlF5bKyzJnJZtf+eEh/K7/1SYHlS07Oc9Kt8Qos6tFTqK/JzWmVWTZVrZPgswCuk9eujXDdIy9zj1wpLmY5LqOJURcVJJFIFRUV0koqb0q5xK9VVWUDAvi22Ergqq2oOCkrqxw0GhlskWLBYIzM+kFcGWuw7oy7AyvTDYf27Oa+Ladi347H3yQFvlhy8lcn3TivwBcjZgxiY2MDrmPc6BXDlYbVlOoBZgGOVdlwxmij9ruxC+NZGWlLbHRNR7SpJv/OY5UVVtqrtkxMO5P2iN5lLEMPOBf+h2vgrjVBN2ab3j+kP7XzEAhI9t+O9vO37u5p3SMvGBoaFhTwuRLFMKDvqOCIQlpaury8XE3PkJbNPTBIJMrwa+92gau2gsKk6mrWyLRLsnZaWpqmpiZujHDa69P/Pew65QS1AW4g1MYsfuT6IX4QUJN057HFCiurVVuM0s7ceUQfIaNIcB2/fv0aN3pFXFJ8HmlenGscbveL+qIbh7OnnNjc3P5tO/hq+6rskeEi/FhrWTSl6FMd7TFSJmu05tEKfR5wzEmykHxv/sxFVpo2K+XGXH3xV1AJ5wodds1V48WDqm7Ge7BoJME1KthekXrv4oHFk8TEzLYe+uPYga2Ldcy2OJOzhLMwSqDo6uqWlpZOkpMvTOBeX15HR7q+nj/JfwJX7S6lSDiRkpLCW6OBlqoyWlUD6+psqasqr2iy+PNzi451oi1l0SFFny7SHjPFZI39PJq/z4MRMicJrmPeR1Ta87WldaST/LmsCeaBtqqymrcnt66sov39P83mTRbD2ukR12jVj5+d/OOB+90KcULL9YuZmc3wv0AkNWdPN7XU30AiejlLXP487NJzPPYNJDvwl707bmcPPl1EUlKSSCT2Ur12RMI1KhjRrLt66yerFDHMgPjlvp9+9wmK+EH2zEc7XGIq8f82zJkkI1tPe4obnZGWligvr8WNwSFw1YalSJjMJjAE5lxiM5oQkzL66r/nR+YyU4Pv+PuTw5PLJi747vsNOgTWwfbCiGvh1Y+vnfzjpPvddHHCq+sXQzObR4JuKyoqZmX1o27OALMApaZ//d/mX+e2JgUn+/unhCfXiC+wOb5BWQLDmjOzbs1cfO3Uin37lu376SMfb2XCg5f3n3Ndpjh+qir4OOqevaoDRoiXJ8zw49dSdQsLi4wMLpNUI5i+ooKQCdPm2izDYq49ec1tGng40aeDoqurUFo6TFQbABfaVAVUcS6xGWWMkZDXMrJabmdvb2+33MpIS14Cnvn25swHt2b+ee3Uj/sAP7n7eG8nPCDff95TBtpwQkFBobq6H/Pm4PIwcjKKPR+L2zwjJjFZ20h7uZ2Jvb3xcit1bfnxrPBpOyP+ZqHJKtW3hW/GqS0zcFSuvXj7Nb37M7G9LjOhCpNRsDUUJ/95vDg9lb9lsq2trRMTR1pJ8V7pKyqI015fnJeDGS7TVeo2DTzMYO99IT+byDX5j48IQ7XV1ae8fj1CRkB8pp0ef/ORyarZb5VFXG3ZJ47KMRdvJ3JRlmFIf4uUmq4zzSPn8aEWYHtN6rWHh/9sqMmg5nVETjCs8fWLSuYULOvM49+vZiU+zghJaMRnI/8I3r/++q4E2T9vLWSe/a6hpprH6iK8o6enRyZzX38xkukxKohh6QHn/vjD9dAXa9aTZ5+/cGiFyoiZp5TT0GkSdFozfBIKFD+/Zz4+cW6YG253QCKRsrOzcWN00laWcuXAIoLt/otRucy2ji5GbuSZL3QJGGHF/ivPymHfcGYAFxglhnKZeBk3hEgNvfLSN47BFzxwm98QicTk5GTcGBW0MstfpkQH3/Hz87sTHJ3yspzZyupuTnTVwrDVrsGJTx+HXXPZNo+gveNiWvVwv9jBpV5fXw8a1w+TinK4KBuQQfCFG4NDGL62oaHK85SRs3EJ3xBTMNp84mFtyO/bF2pIQFdjoob17vOZte21Qb9vNpEfuWlSvTC4ackBAoa05zevUDEwGkyGX+84ODjExMTgxqigp6hgB3Kas03NLJdsJP11xlnh3893+j5vGsajSyqVCp7KQtv8VhiqraYme9ItX4OkgdsIRK/woThJf4A1/HrZjIYv2NjY+Pr6opKtXRGXU50pi8WlvxrOyyY5i04zqwW+dZEwVFtSUnzTOrniqk7riXmsU4EYhcBpyfAT4bgtSDLjY73WzQKSLeiCULKysrB8Pm4jOminUxISSmU2LTJTHMbLJsPCwubMmQPbBVHegt4lQxiqDTDQlc0v76TaBAJhVC2PRPQL03Wm1ZTq9NB03BYMfEzK5gUwiL58+TJujEraGflP7j9IoOOzkX84/2+97f8SbH4n/2GnLiQp4j9g/OTq6mpiYoLbPRAfX6ipyZ/aWUI6Ve/pTy2id1oXpKmpiXxtRE+IS4ovd1n+6KdHg90zoWf4npTdJ/Pnz09NTaVQ+LmtyfBCjDD9/Q8P3qK3tyf6/LJv374fT95KTHl4bvdC5XcVioYdQUFBzs7OMKhdW0WXUjaH/d2R4tOCFSGp9kxN+ficThE9eXn5yEjuSz8RCICSjpKug26EWwRu8xUg2XxPyuaFgwcPent74wZiRODr6/vxxx/Ddm1lhZqFDWx3ITKSNsxUW0ZaUo4whrN4iqqq6tOnT9HkDKIX5n0+L4+cV8DX/a2bmMwbR/bDsqv8TcrmhZUrVwJnZTS72yOM2NhYnQ6gWVbwWmaaOmx34enTBlU+LTMUXjBJf6p4RgYNNzpA++khekdcUnzVhVX3d97nV5wEVsoGDSDZAy67OhjAONrNzW3//v24jRjOAKdz7969jo6OuI1hpa8oilpcAm7AYSUSZXBj0AhJtcFod1JcfVjYS9zuAKWRIPpE3Vhdw06DL3ESKNkqBkYbjrgMiWRD5s9nzXyGhoZCEzF8CQoKsrGx4dyyHIzhpqrPwA0OKioYOjqcu+INCuH52qoY5uqax7lR8ezZs+Pj43EDgeiBRXsXDX6ZO3tzA4EmZfOIi4vLTz/9hMKDwxo6nb527do9e1hDN0htFb2ntL/nz4ssLdVwY9AIT7XHY5ijo3JSUj5uv91sDV27IxV+fbIwTkLeQh5wnARubmC4wl4UJBsAvDM7Ozs3NzfcRgxDTpw44efnx7lfOTU70+hTZ9zoTFpaGb/S/gDCU23AunWGycnvNiqWlJR0dnZG6w5GKnzc0HkwcRL20kfrjQ54lwiwd+9eMpkcG9vvAocIUcDf37+qqsre3h63O8iOi5o1zxo3OuPqmjdrlhJuDBrhqbayo7KatJSvb6eCy9bW1lFRUbiBGFnwd0NnGCfp7y5lQlv62F+Ay3LlyhWg3aNtt4QRQEpKCnC0Dx8+jNsd1FbRU//5UcuIy1obCqXE0VEZ7jTAF4Sn2hIyEjLSkkZGMikciVx6eno//vgjCpKMSPi7obO4pLjdFbvwveG81yeBSx+/ulcoapIN0dHROXjw4NGjR9H1P4wAT9mdO3deuHCBMzYCyIiJtNztwXWWOz4+z8qKezrgwBCiaktL1JbXgr8+JiYX7+oozuDs7Pzo0UD350aIMHyvWKCko2TkZHTvwD3c7pUnd/3h0kchr6PpF2CIraGh0cVrQ4gsQLLBR+bm5mZsbIx3ddDEZEafO2G62g63O+PvT7G05GftPOGptoKuQm1p7Zo17/n6ZnFmkqxaters2bO4gRhBsHf34CNzHeaC18e+j6HZEyFenuAuEnHJhuzdu7eqqsrT0xO3EaIKGBI5dQBzNzlJDgtSs7DherHBpYU6OnwLagOEp9qTFCcVxhfKyhJsbDplksCnFpqWGXlERkbKy/Nt3pzN6t9Xp3qm9rJgcqhWqw8MSUnJ33//3dfXFwm3KAMke8+ePUuXLnVw6DqnXVtFDz60dunOdymAnJDJz+3t+VzoRniqLTddjhbJWhtJJOpfvtwpb4REIo3yWmgjDzqd5WLIyvJ/yThBlmB3xe7+zvtcA9xQsodktfqAAWfJ398fCbfIQqVSgWQbGRkBRxvv4uDe6RM2+324ughMZpOvb9aaNe/hNp8QnmrLqso2PG1oYjaZmExPTa2ic9xyYMRRXl6OijOMJDIzM21suJfRGTzsADdnBjdngZEhXPo4MFRVVZFwiyYwlt2TZKc8DK3Mo8y1W4fbnUlKyrexUZaVJeA2nxCeagP0nPXyk/IlJcUdHHQDA1/gvR0AdxsVZxhJvHr1io8JJN2Z6zBXQkYi7mIcNIe8wMjggcKdmpqKhFt0gJJ97NgxrpJdUUwN+N/y9b959nTJubrGEYn6uME/hKraqmaqRR2rbOzsZnt6pnLOSQJ3W0FBARVnGDE8evSI71ORXVh5dGVpaulj38fg5hGFAiODBwi3u7s7EO7jx4+jdMAhJzY2Vk1Nzc3NzdbWFu/ioLaK/rej/SfnYnqaPqF01GCYP18bmvwE3/VXKNRW1p4zPwfbJBI5JoYC25Ds7Gxzc3O4zzFiWAPX1+CGIKksrPQwO/6bzXuC21td+ICzB4aejo6OlZWVeBdCuICPwMPDA8hRYWEh3tWZxvr6S984Rl7zwW1udJc4fiFUX5sgS5BUkYSz/2DgAIYPsB+CijMIiXZmWWj0f9/ej77xOOJkUhGjDe/nH0lJSc7O3Asy8Je2MfV1MrfH5M43ssbL0o8AJCUlXVxcrKysVqxYkZKSgvcihAWdTt+zZw8Y8URFRXVZSgNhF4/spUZCSkoBhVItEEdbyBESwHsO7+V2rLKB74dznSQAFmdAV6ogaa2+F3x7eUrF7DlWGywt5xT5TfI8v+ZG8MM3+HF+AC53a2vuBRn4CKwJ9eEvHh9d+468hUzn2HNjBODg4AA8mJ07d/r7++NdCMEDxAc8LMEj08vLCzw+8V4OgGTfP8fyLBdt+Rz2dIfJbDpyJIJEmofbfAf3uYVFbWWtG+bWWN8I2mD4AAYRsJ9NcnIyGJigsaHAoKd84emGeVzzqwBGS2KoB+Z+8VxBMzzID2B4RNCRrvKiQpeV5hmPY6D5zO/ZOfNz4OqC5ogBjNAdHR1JJBK6IwQNOyqSnZ2Nd3UDBkbAF2jgXdzw83vWXdn4iLB9bYIsQYOkkfOIVQPIxGR6ZCQNxuzZGBsbOzk5HThwALcRfEZSVl8KPKxbm9uB0dbc1o611jwu5+Pa80ePHrE3PxUQmfGxZ1arcdaEMrE30XXQ7ZILOAIAI3Tg9BkaGqJoiUChUCgbN24sKCgAw0TOXQ44gYERGXWN3vOUqFT6iRMJBw8uwW1BgKu3EKFl0y4TL8N2Tw8l4F/4+PQW6UcMmLayrOAPPU+tf5j+NDthv5cbdu723Yo2/CAfIBKJMTG4CywIgH8NvOzc1GTc5iDCI+KG4w04khthwDEoeBwKehAz2mC72CEhIXgXN2rolcDF7nPSu76+0dHxRkhIGm4LBmH72gAlHSVpHekkf9byyJUrDbu724Dff//d09MTLXMXBGLyM97/3lhj1viGggbCR8s3FG/7aI2cGH5wsMClUt0LNfALWMbvM29/jdmdyvdAbJxsFI0U7+y5M8I8bgAYgwI3cPLkydbW1ihBll+AMwnOZ01NDTi3XNP7IBXF1PObV2i+b9Xnrhq3bz+TkZGwtTXAbQGBq7dwAe72OfNz0CcCzyXwdIL9nMCNgHuJMSEGREvVXX9P7Bz5Lq2quKqKVtfUyc1urrjx7w0/bq53bUnauQBfm0u3fg4O2n/Dd931m+uuPEhk4kffApxBPz8/3OA3wNMBXnZ5EfdkLDYj2OMGgDsCjGZIJBK6NQYD3LIDnMk+TyMY2x0xxtgzKL0QE0MxNz9XKfjJlaFRbUCwc3CcTxxsE4mXuSY2goF2LymTiAHRUHD6ohvm9u6LcO4f14wqOB3ZWhxje/qU3ePS1g6TTW1BzLZzntviqLX4gZbi9MBFF0M7q3ZlZSX4vAQ0hAeSDYaofUo2ZGQLNwA8GsGpBkN7NEvZX8D16ePjAzxCXtyLyGs+vDgKgMJCcPGfS07Ox21BMgQREsj8XfNTPVPhFq5HjizqkrsNAQNtNzc3e3t7Ktrvg29MUNlgZbRxAm4BGA0VpKio6FrQbHmRnVM5HiNnpr9ogAc7aCy5FZ14Weo9ksk0An7BjFXWtT4wrbm+FZqQEydOHDx4UBDzkOyaUDyW8RvBoRIIuCmCg4NBY8WKFf7+/mghJS+AswTOFQyJgKcdOIf4AW7Asja5Tx7xUjySSqXb299yc1tibMzP3Q96BFfvoSAtJO0y8TJ0iEgksp/fM9jfBeRx85X6/NOX3Xcl0fFcv7amsuzQRX+Rw2va2+teHrv1MDIlUPfUmWMvG+BxQAs1asEptwVR1Ba8A6eWXl7+LmMQjDQF4WjzmGvFlRHvcQPgSB+ceYHOAI8AQkJCwFniMbJUlJMNXGwwvOPlqoMzkB4eEbgteIZStQHBzsHgCzTg+KKnkBASbv7BUu3T66Nyy5pYVjOzKi0p+OBTGrOt/U0GeXUMrRVot5ebMvlF5dsoSVnKLYKbm8OzKtzmDpFI7H0WfgAMRrIhULgrC0d4GAEokaOjo6Czd4Yp4Jz0ayYg/j8/zqUAvQMkS8iSDRhi1QZ+ELipwK0F2j4+cb2kpkPhRhclH2hrqqHkZwcnP/N7lhRMyae86ZiQbHlzl3z1RhloNqc8/AvzuNLRZsGDavv5+QHVwA0+ASV78AVG4nzizgGHYPgJdwszLzT06He3L16JPO8el1mNd/cMlCek3RAw7ANuBDwhPOo1uOSuHyaBq47H6RPoawpZsgFDrNoAcDuBm4oSQwEDDSLxci+pjjBlle8OHYJFW1nCxnOXvgkKdQ0N/fWWF5DpZVHUDnccj5AYPch7FzTpBBgDYRjG35EQvyQbAq4ueI3h9nCgjfbf5YWEI59cLAJjnprw65bY0RWrL/wR/gY/3iNs7QaPUgHNDIs4lZWVPj4+MB4CRAPv7Yvc1GTeoyKA7GwakGxBp2ZzZehVG8AWbvjsAq/4gW4AaQAfhoeHx+i8HAVHS3q0z8/Zb89pc8WNG6ewi6GJsKOBes7H7Z35lraGuupm8EEAL5u/2X48rmjoF/nJ+cNKuFuqg74+aowd2e1HB1Zz4n9W2NFPzuc3csnJ5ArwLp2dneHNMnryTOC7Bj4EeNe8uxFApsHFBiSb69ItrgCxxjA3AZX065MhyyHhRFZV9hP/T8L3hjPzKw8etDh69AF+oBuqqqpRUVGpqal79uyBe1wh+EA749XNwqmrVN8mf4yTW2agrlxLuf26jrXufcK0TVZGRGbG4RgKrRl+B9ZS9cozPC6DefHiRRkZmd6n4/sFXNGgYmDU54qGfqFurA6vsUjPSLxLpBkzUVV7Ivi3ubkVfAStza1tWDslmUbvlLTTCzo6Oj/88AM7z2T//v0jeM0ak8kE787Ozg68TV1dXeBJODk5cS3X1x1wvXnt2lhVVPCNXxTXpVtdYDKbjh8P+emnR4WFDgIq6dcnY48cOYI3hxTJyZKaKzUDtwearNCMzyhraWnS01PGj3Vm/PjxH374YXV1NRBufX19dXWhpNqMYNprCq5FPPyxZoKZtJye7MRxYhjWWJ6QkxtWUh1eVjVddtp70hMkZDTWqElW5Dz+Kjop5mX2f0nP7jPkti1klMW6ubmB0Sj4UPCfNjhgGb9l+44t+Hgj3sU/wDWmu1Y3+Uryq5hXmgs0x44fix8QRcTGKEyXZr7OeZDbpjOt7Tn5cVgqtvT75R/pSfZnGaukpKSFhcWWLVumTJly+fLlY8eOTZgwQU5ObvLkyfh3DHMoFMr169f37t3b2Ni4fft2oNp6enq8X41P7vpf32G5bL/70s92jeXhf1EoJbt2kadNI/z1l72cHJ/3FeMdMeBv400RgE6l37K/pbJW65jfqytX7Hrfjh58YOByBA9Y8JkJtFYRgivAuwFn3t/fn0enpk+gZHPWhBIETcymCLeI6rzqZYeXgUEe3iuKtDWVPIn2Ch9jZDhZWkleZbrSDCUJ1jN14FCpVDKZ7Ovra2RktG7dOjMzM0FsxywEwBt5+PAhrGELxnlr1qzp7xupraLfO32CWV31wf7DvCwCAC72xYtxvr5Zx45ZCXzBep/AQInoALNK/tx5y8y0twA3BAyFnJ2diUQi73MOCL4AU3r4OAMJa0LxmG41eGBiCS2bhtuiB5yN/PXI3VJaMZ1Wymjoslx1UID7BcZ/HR0dQ0JChkvgG1xvYGAH7ncYrx/w5QcvtshrPjxOPPr5PYO5IvWikfsvWr42BHpD9wJeV2sR/rq4TlJSHD/QA9DpA073rl27hqnvMLzgu5edGR9768sFn5yLEaiX3YWc2Jx7C+6tjlmtPUTRyd5pS3P/49NvOJY8Kkua/2/F3oXNif9Gn3KpmepgsEq7Jethbq6K/lc/LV+ti0dO6l6m3PR+HJgmaT5fuuklraBdAmtQcLqwZg6X4TyTyUxKSgIKDrxvFRUV4LQuXryYX58pH0lJSXn+/Dm43oqLix0cHBYsWGBs3HcAmivQxa7Mo3z0s4vKTO4VWTmJjc1xdY3T0ZF2dHy/96G/UIHiLYI883u2frr7ug/+5uX5BpxumOvD32QGRHfgeea7l12UMwS1kGDyUoRHhCiun2wuzjrv4GyMHeH4+vVIeF1HPgmeW9LeUPHf178aL7gdy9rjor029aGTqbPT5fxauIy1rYUW+u/aFf8l9V3PCGg3240FbjhwwPn4EQ+A7OxscC+TSCSgUbBuM485170Ac/t4cbGB5gD/mki8TCKRs0VvQCa6qg0AA9j5Cqc3LPXm8aYC1xn4mFHARECAcTS4fwCggXcNGijZPC5qEATg0iKTyDccb4jYPjhtDc/dT839Or74bZJ8Q3GG+4fdVBvcJH5expize2JLex31n01Hje1DMxnwSActNWHOfrH9+LzATQQk28PDA9xHQDHBDQXUE9xQgs61BRcVfHJApQa/HfwNMTExfPm9QKbvnHTmxTkoLKz08IgwNz8nmnoNEWnVBlRX1i6e5fnB7DNlRfhV2idwlQH47Af/cEawAXcy8MLATYXb/AAmyQ6hZLOBYe58oRRs440O1bbcEppE60jRbmbSUp+cPBaTUwtzt9+qdltD0h+uxoaXg6jtLS9CiTJHiOcKupSLYRSVVPSwPqovuigpuABAA5jgYgA314DvLyDE8L+D5wGQZs4fLognBHSxgWr34mJXVtbCktFAr3184oRQbXUwiGJcuwtMZtOmD/8pT607d2PZe4v18N6+iI2NdXV1BQ1wKQiuSP9ogE6nnzhxgkKhuLi49LQ50wAI8fJ8GRO2/jdPHsv4CZqc2JzwveEWBy1M7E3wriGmrakyryj7ZXllXbvYxEnTZ6rqaEyeMAZreXZ3sVnSRAeDVe9NYFBeBmXKfOZC/NRSpvre5eUf5Fv67TljL4P/BD4DroSKioq0tLTi4uKCggJwSQQEBIB+4CTBC0NdXV1FRaXje9+RlZVVXV0N2/CWBIARm4yMjKGhoZKS0owZM9TU1ASRBtbEZEZcufj8ju9m9ytco9hUKj0h4XVQUI63N83ZWW/VKj0hFe0bHMNAtQFAuN1+e3D//KufvzdYvrcfG7KxtXv37t1WVlYoQbBfMJnMoKCgtWvXAvdq3bp1fDx77Mqrvey/J3zoVPqDow8kZCRWHl0p3tcc+JABVVvNlbjPRrImh/KvZ/JzA6vzrosUHglatXuCSqUC7xg0Xr9+zWB03YJUUVFRQUEBtgWkzlwpfkm58+v+aUYWq77cy3mZAaXOyKAlJlLJ5DwVFcmlS6cvWKA5LMSazfBQbchpt3BPl/TvFsmtd1nZr0xb4BR4e3tHRkY6ODjY2dmJ4Cy5qAH1GrjYNjY2e/bs4eMZg+6PCEo2pInZFHcxLss3y+6KnZLo5AxwAlX7vbfq3JQS9PHiBOzo1puLcjYujKv/YXPg/2aK82tHuWEJuMbun3PLCSN/fOKCxmxjINP5+ZWvXoFRQpmrax6RKGNhoWRmpqqvr6wq0gn7PTKcVBsQGpq+fPmDXRjmFLLMoJ+57mB8d+3aNbjEYNu2bSYmJsj17g44S4GBgZ6enkCvwTCWjyERANzlGjREU7LZiF60hIMuqo0VPvlqUXDc0hVBv6vc337Jo97k0o0P5kzp+NYO2uvrasZNnCKqQwe+Agblj8Pi/Y5fmqRrMHGGfm1dC1umdXUVDA1V1NRk+8wkFn2GmWoDwJPzi8/JkoXM9StUiM6r+zuShTmqAQEBrq6uzs7O1tbWSL4hsbGxUVFRP/74o4eHhyBGJFCyVQyMFm35XJQlG8KOliw5uIQgO2Rrl7nQRbWrwm/a22XP8v7y7HqFuqfBTg4JLds/PrlHX6lju6KW4uxLF14aO622kGeZIwI6nVFRwYrDvH5dyWA0gi/gRAMTCDR4tdasMl89a66NLoEwYcYMuZEh010YfqoNAE/UC+cfnT+VsWbimK+vfaA+oJgUcCoTExNv377t7e1NIpGWLl06fBf4DoaUlJSYmBj2KmcBRf/Zks3fmlADAFw8hYVd646lpRXjLQ5amlr++ye9LKlWc7nC5KlSeG/PUCjVAQFVuMEDJJIG3uINQ8OphPH0N1nBpYGejVKrJxvOHNNSycxKaFW2V15JlIbedMPrpmS/grgETM1YUryueaz5rM1btNUndfwAFiK0VOQtwA+rr++0URz742ArMoB9es3NJWxsWEWK1NWnqKiwCqoAJ5qaTXnkfsxopU2XKPaIZFiqNiQlpeDA3tD2rHrHvbp2X9sMePqo+woxLS0tPT29Eazg4ImVmZnJ+ZYFuiiOv5JN6dhrFAK9LdzofJNDIiNpT59y7oHJortcsgSRwLGX5ls0NeXf5NOjfo7TtJs+Z93s8RN6KzAkJSXOe5yU68Ojd7g+WrqTlVVeXd31LUOqqhq8vWm4wTOOjsoyMhK40X+4fgScEIkyOjrSuNEB58cBFBk2ejq9XaLYeO+IZhirNgBc+ncDUn7cG69DGPPjmUXzBl3VhUKhpKWlxcfHR0ZGAjkDDriOjs6MGTP4G94dEoBSFxQUPH/+/NGjR8IcXoCbymvXxpkLlnaX7C7KxalKnNLTxYflFBG2t8WGfZND5OUJsoOObzQxm4IOBzVUNYh8wSmBwPmYHAB8+Qh6Iu95yr8Hd2ovtRsNLjab4a3aEFbA5MQDt5M5c+ZO2ndkIb+K3lKp1ISEhKysrLy8PCBzjo6OVlZWAk0v5S9ApmF2LXgL4I0EBAQApba0tDQ0NBTcQ4gdcwQAR7iazoi+cldWfepU/dkFBW9AZxcJ5nR7OT0sRcVJCgr4uL5fPqzgSPJPil4bvaz/0+AIQQC8AZiLPXpcbDYjQbUhDDrjz23/RlHqqiTGfPud8eLFs/h4qzOZzMLCQvb6Avb6HWlpaV1dXQKBAKRcXl5+qIIq8M+rr6/Pzc2FixrYfyFcyKCvrz+YAAinU8wOShQX10AhBrBHweyYIwA4wlnBYUCyjZcugFNDoFNEJHhg0Kn0u053pXWkRW6KcpQBXOz7J4/IaejYHzg6elxsNiNHtSHAIfpvbfQEksYTCms5lr29jqWlhiBmYKBQlpeXl5aWQqGMjIx8+vQpOAS0ErwCuQRqDhqDX2XAXsUAYC9kiI+PB6/s9WnwlwJXGj5CePxFbNe4vr4pN7cCNLjO/wDYTjE7KMEWYgDXUXDUdd/cJ48+O+WF2yOCJmbTs9vPUj1TV11YNbBpcMRgGIVR7O6MNNUGsHO2dB1MnyQV+vtTiouZdnYaZmaqQGUEPYcO1Rw0gGMOe7iu6O0X7BXDAPaiYU1NTakOuDrR7Fgk2zXmlGOYIwXgdI0tLdVggzM0PODTVfyScnXPll1XgyfJjMBAcEFKwf2d93UddOd9Pm8IVlE25GUEBSRc+CW/REJSf5Gs9Jhm2pNyppne5q+XbrCUebdzQmvD60dx1y4k3qFImhtIvHlZPXaOhsk4Wu7CLe7CXj/JF0ZnFLs7I1C1AV0cIuBRZmbSkpOLUlNLvb1pjo7KGhrSMOt+eA3YOaPGXLOj2HLMnrLjnK9jy7EQkljPbLWbv3W38WJb3B5xwCnKakr1B54fDMUUJeOlxwdXL2Eml+5+wKqd3UgP/vmv729I7SLv+sKkY3KgkR7l6vOd/6Sdrh9ssVGcOLZDxIMC9+1OVzwl/FXvgwS52JyMTNWGQIfIyMnIdJ0pp0ME/FDggZaU1ACxg0EAqHFQ4NjzYEKQNk4VBvSZRMHpGnPNjhKRNQVP7vrnPYvfcMQFt0cu6aHpD5Y/WOi3UOirKLuoNlDpePKSuakTT2+9v2fG2PaWvGsXP9lSannzS7d1Cu+87/aWl3//dVp6k8dwUm3oYs/+yGFYrM8SAiNZtQEMOiP8RHifOVswngBFky2XbL8VwDVlVVpaAjjsuMEBp/PbHc70VU4VBnAKMWfUeHgNCIBbdHqt9Wfe/r0X8+MM1vNOTxGhIQRG5EBj9e+rhThF2U21ax/esF1CmeW789KnSmMYr//a4HO+ZNbp4A0LO6+KbKem/Fs4c91cof2hgwG52FwZ4aoNSfJPSjiRsMRtyYD3muKaslpeXltaWosbnemSNcyJQNNXRYGo674NjBquC2ooFEpoaGhYWFhAQABnsJ532LOvbOA0LKBLxF/IKT3wGrM6ZiWsvEC2apOXKRRSabSi+39GPVRjFf/Tm4K1v4zetjji+cJFdy4unIH7AcMOFMXuiVGh2oASSgl5C3nIpo9GDbVV9D8Xy333sLLLJCSTyTx8+HBkZKSTkxMf12Gy534BXbJrYEoPfDbAfB7wKlApB9dYyP4QaR1poRR6har9erKJzSSJlmbak7I8KaVPD9k6rNaQn4DXKqn9YkWQ5/tK4/D/MXxALnbvjBbVBozyFW7CgfzncRllVeuNDrjdAZVKtbe3d3Bw+Pzzz4W8OgnGYdLS0oCgg1co5cA9h4450HH+LpgC1xgs9Cr4vMCus5Fvki7e+OKrUg23TRe/njkx5+HGxY8oi4ejr53yMPTBHz8hF7s3gGqPKp75PTtnfo4SQ8FtBP8oysl2WWneZZ8nIJrm5uYhISG4PdSAvyc7Oxtujejo6AhuAfAKtyjk136Y+cn54BqL84nDbYFQm+Nuc8TYhmMn38r043OPGBv9E1bS3l6V9Qc4CtvDBri7o6cDcUi2fh5GjIHaPXowsTexu2IXvjf8se9jvAvBJ+78un/ZvmNd/KM9e/YAL9vWdvApgK2MvMhLP28ykzVb8+nWT9fMtyA6HTrx7Zrt/v2qhwQ8ax0dHfD3ODk5eXl5gXsAuN6gJyoqasWKFXZ2dp6enikpKUwmE/8P/Qd42VuCtxQ8Kri54yad2r8SUXxiihbxU/kxqbnkqPKWLoPpxqpsypuunUNP3vOU02utJSdN3nH+OtfdwhDvgOI92qitrL3heINMIvO4+zuiTzIexwAvCTfe4ufnBzxZ3BgUDcVhvy4izHE4HZZbC7ezbal9dffnRWqYg19xh80XCgsL4d8Mbg2g5sAlH4wDLsiBXRdfu4WZe/sfG8LRtS5ZVfD81NEC9rqYqP15/C6N8XYD4OaSnBtHblxNrWftICwqsDdQz01NxrsQvTJKVRsA9DrCIwLcVJWF/BkXj3KAZAPhxo0OYGwE6CBuD5y2ppdXNspgMttu5jdz6k1bU/ZF4raBqTYjN/rW6S/msTwX012nbz7KZXZSMvDHx8TEeHh4gONAxEEb9ODH+gMtmwauMXCl4TZfYOam+7v9vULmiLHy75s2ee12uLDJ9Kix9p//O5NO49yOvaH6+Z27/7N1Boe2b/Ha/qHHd85RCUVd9nAfWnjZQB3RhVE0G8kVuEpidczqAScFDh0MyqHAfCJxmSm3GRtGWdathKdnX9cpyUyRaXqTPUZhhYJYUsMML6KJ8lj8e/hHZnzsw3OuX/mQcbsDT09P8OrkNPia2oxU9w3G35TsDw/+fXHX7OPQ64Xmm+YObM1Iy7M/dM1ImGti1j7TnjItmB3l19m7/Nja2vY3YbGJ2XRnzx3QEG5Ct6iDEkUGDhTv0QzwtfnvDQmB0pRbMm6nv31R222021KcHrjI3dPhYUbuW/+llpby86VT2K1nxQLxtLo72pWVlcDRHph/2pW2HF+iGoZt9s3ldCT5QHOiqxaGabkmNuMdvQHekZ+fH7GDAbjecT5x4DIDrjduj26Qiz0YRt1sZHdkVWW3BG8pTS0N2B8A3CK8V9RpLgvJLJMd2+adnlnYgvdBmkue/i8iJ0XJ4tcFehpv3XCCktHPy82IAvm4n9z1l9PQ0bOcj9sdnD9//uDBg/xJqmt9U5pWCN7DRAn+jxJ4R1ZW1t7enkwmk0ikgIAAa2trf39/3ict5zrMXeK2hLyFDIZ3eNeoBLjY5D+P/3twJ3Cx7b77AeX2DQCk2izAuPUj94+mqE+5vvH6EE3695MmWvolSUv3WZKMkqRbhZyPmpaMzOfXm8fsMDRU77xd1nhFg90akyTYJSn4A7gJo8+dWLiFNX3HhkKhAHVbuXIlbg+SMRNltZQxjFHX0Ir3DCnz5893cXG5cuVKfHx8v7Rbe772J/6fJJ5NjPSMHD7+AT8pfkk5vdYaNL7xi0JRkQGDVBtHXFLcxsnmPYf3btnfKkgpwHtFlHbmk/SXSw0Nl+nrLRNjXkx/RW/Dj2AtVc9p9djYKYay3Xb6Gytta6Itw+dPPDksSM3Cpkuqlre3N98cbcAYJf2FszAs7VlHzXQRQUdHp4t24wd6BQzsNl7fCAZ2d/bcGVXCDZ7uUdd9r+7ZglzswYNUuxMm9iarLqy6v/N+kn8S3iWCtFdTrtFnrpk2Ybzye7tUxLLyUyOr3s4pt9SV1mOYmPjEd3XeBEdPjnZkZCTfHG0WU0zXfUokpPreiCroln1ckkHplpIsPDi1287ODrx3/EDPAP9gvdd6RSPFYTOwGzTAxfbatZGWnYZcbL6AVLsr6sbqYBibE5QjssPY9rzs1DItg/eAMz1WxkZXXbm55Hx6cTM8OFZCdgL4lqY6YSiZMBxtFmLjdTb8eXnvzH/3bfvlXi7jbZykpfTZPydOJTRIjuXvE6qVkfvg/IFNi2x3HnI9duCzDZ/s+PyTxW7POk8fcAK1m0Qibdmy5fjx47wETNgDu5Et3GwXe/7W3RuOuCAXmy8g1eYCGMZ+5P6RqA5jG6iB2fWNr8I/u3596/Xre58zZo3HHlBePINVT8fJ6E8Vx1qrn5X3uwpq/0n811fwjjZESnPtb/di3FeVe9hO0lv0yadbPyESnS5maO84tm02gZ+i3cpIv/L1iu+fzDp4N+TCL6Sffv/b5/QGjQpq3yH1+fPnR0VFgYa1tTUvTjcY2C1xWwKEOyc2B+8aWVQUU69+vwe42LuuBo/g/TGGADyXBMENUVyGU5kRsOB+9pt36X7NKQ//wtxOffaMDvuaimKI7m4ytxLymzrsd7TQaEVlvCS58UT8f37XD5Nw4y3A3/Tz88MNkYdL5l9T+kXiDGzZ+fQmjoTKNlowyTWa0S3FsgdiYmLMzc19fHxwu1dg0RJ+rp98twZH5vfv3GJjc4dk+S+4PI4YY8nholJ/ZiSBVLsPwO3khrmJTLWpBtrFqxdO53eS3rayhI0eboQrMdl4OnPLq8Tb5qdPLbqX8oqdDNv8JjE+4EA8tbYV7xgcjfX1LivNu1T5yc7O5luOtsDhvjayJf3cAkxmwbkXndPaW2oL88s7Lcvsg8rKSscOeDkbcMUAX6+x7rWlhEd5UeGlbxzBF2jgXQi+giIkfaA9X3tD9gaRqDbVXlNIjo44UdGam5eRWvM2bN1YHpNX2SKGMSpSDkUkdvSP1TT96J6d1ar6p7YXPBf5Xt/6z9/EO3EZ8guPvT+NwJ9P/FVqUveI9r///svviLbgmKhhtW7P+VjWTZB4bs8nCzRYOZGt9NyMFExWc+qUzpnhYwmq6vL9md+VlZX18vIyMjKytramUql4bw/Iqsp+4v8JuMZGQKjkyV3/M6vV9Jes/OyUV++bGSEGTod2I/oAVpsCX6jaFMTTgdil1g8/F0MOGS1ld78mYFoOfgV4x6CB0RLwits9w1ePewh87Rp6JXKxhQPytXmCIEuA2VqXrC+NkmytXsh7ngJeu6RwXbt2bfg42j0xVlZT3xgrTc0tbcR7Bsv8+fMvXLiwd+/e2NhYvKsH2B63yC8X4EJmfOz5zSs037dCLrYQQKrdD2ycbKyOWY3gSX8eeeJ/bfGX+G6NEDqd/vXXX9vY2OD2sGWs9oLNyyal+kel1XfKnGyvezPgmtTGxsb+/v48CvcStyX3d94fRp4BXKH+8JzrZvcrXfYwQgiIsUeOHMGbCB6YqjV1qvnUUKfQMXJjlPXeba8+eqgopkad+33lnh/Gjn+3Yv727dtLliyxtmYtVh7ejJXT0ZfK9PF42Gi0aO70SWPEgGK30GLPuoSNNzdVkxyglzN58uSVK1du3769sbHRwsIC7+WGnLrcFP0pgdsDZ2+ZPXb8gOuuNNETrr9IxpSJm2Ypi7dXpib5ud3cbhtKzquoSn/ue+Q/zweV0vrTteXHw1h9e01JxOXAYz+ER1PK04JjLv6dGnk98qWWhYVK72+YtXzmsw/lNHU3HP1DWlEJ70UIGjxSgugPlYWVNxxvBDsHj8Iwd/AFj/j/OuX21fOtjraI0FKbHei6y1ZLy2adg8OWD+0+cw3MxrdiGBTgFPGYERjhEUEmkXFjIHSLazcn/meFHdntR2cZDRX/ff2r8YLbsRUsq606/58dzgt3PMyoZpmA5sLU31Y6uyf2/p4jr/mgrQyGBBQhGQhwGQ5o3NlzZ1SFuWur6PFnv9Zf0CkS8ujRIxsbG35tuy4CjCXorN53LuTly4hbPj7/BNy5tG+1DoEP5QbBKfL39/f09OwzVDLv83kNVQ0CK6swQc7cRgmLoTx73QpGEq/87roFTty6x0pvCn58nOrsL77RZNbj6227AcZbf3+7Ay6fQSvUhQ9S7QEiLim+/Ifl2iu1h0O1Kb6RERNpudtjkkynHe7Pnj27adMm3ED0ChTuvXv3pqSwZnR7Alxdyw4vSziRUEIpwbv4SXsjLa8aM5ymrTQWY9Ki/6tos9Cfp9lpXwjp+UvX63cuGomT8jAU5vZtOOLS5UpACAek2oOCXW1qlOwdnPivr877C3CjA7h029gYOVy8AoTbzc1t586dvedxg/Gc1TGrkP0h/a6p0JCXccc75n4qhqVmXvGOi8t79/9zA8I9/rj72xdnvyHL77nw4VIVDKsuTc/GMKXJ0uL490DECPLT5bqML+DEY6zP2a/uFb7/gT3eixA6SLUHC+eG3CO79mbxS5ZAdxkRh4aG2tujG7h/zJ8//9ixY05OTr3XmTKwNZDWkX52+xlu84iEhv5H324Loh9Opu8/+e28eRrv9Fj2vZkLbHTmLZpp1FZw+e+UnBq8nwfYpbF3nL+OcvuGFqTafGCUZHO/iAg1XNFJoIHo+Pr6rlmzBrcRPGNra2thYQGcbtzugSUHlzzZ+oRBZ+D2IJHWnD7HbJb1xg9OnjGf8m/0Ad/XTdKKBrOAE15G663a2JO7/lf3bFlzyA2VxhYFkGrzDRsnmyVuS3zVfIdui6n25rycRPfb58VOnRK7cNs9kZLHr8UiLJ7f8TWwXowbHSQlJRkZGcnKouDmQNi7d29CQgIYrOA2N4BDsNBvYfiJcNzmF+JysmqyWGF6KV1ced5KaSwxOya787XS2vCmprUjKnLjyP6M8KDPvP27bDKHGCqQavMT7fnaDoUOiWcTQ473PxzJB8TGa2ib7TbXYhWy0zDfbaajMQE/MmjynqfI6xh1GRpHRUWtW7cONxD9RFJS0tPTc/ny5b0HuA1XGtIiaXyelqyivM4oFXt/kebUceNmrVu9a0XT5eNBcUVvy9E2ViVcDLjyoqiY6rVro8w09c2/uaOoiOgg1t4uhOr5owug1xFuESUJJR94fiCrKnQ/tOX1A11yOmZgl7VsRqe0gEER4uWpqKXDWSWZyWRKSUnV19cP81XsQ4y/v39QUJCXlxducyPJP6k8q3z5D8txu7/U5VOirocf/r5M3sFg1XsTmmjUsPAGg53L932ur9TxXG9/UxRyKcz7QlGbwVTlCQ21k6Zv+lZRvCDof8uJJ0O4lMZuyMu4fvqe+2mm/qGl32/TrImI/PNI9iu9Wf/7cdHHVooTKl4HegX98u/4rb9/4LhUUUIM/PzCwKvZcvO1ahOeeP2a/Up12icfyjdl5j3MkfrwwJov1kzrnljJWvhzPfKqX6n0+5oqjWUZ1DGTm6q1/rfVNP0RzdL2I0NJfhZVH27AtG0E30kLSXPD3MArbguN5rxQLTc3rdA8vlXSZuGy0rxLVaCYmBhnZ2fcQAwCR0fHkJDe6lA31jeeMz9XWymkUlCN9fV3Tjp7OhB7qwPVlhuzU+vIJxeLWKV/W2rCSL8a29xJqIIH2+uib286X4DXKK+l3vj537CCjjU7cPnPF/E0cHW2tRTfuWxJOH48qq7j+97R28Kf5uoo16t+FL5e3cMMFCERFAa2BkMaLeEnFcWsIXz38MhIWMIuApBIpJ9++olO73EeW1xSXNdBN/FaIm4LEvBZe+3aCBp95IqIqRl+tEaM4p+awcCwsZMsVsyUiEy7n9Qxp9nemB5fvtJ6Gmu9fHtT5jVyhMHCxWrd3GmxscqmuiaKTUEJxZ12d+t94c+4KVZrpz9wi8sTwmZNIgpSbQEi27EhN2gM931dqVkZsz/qWhjoxx9/1NPTww3EINDR0XFycjp//jxuc8Nsk1nK1ymCfvxnxsf+7Wg/f+tuHnJFxk0xXTp9XFxG7Esgue1vyt80Ya3BYa9q2zDszevoolmWMzrEhf6S/C+2yFSea0CDWVJWQBez0FXopOh9LfwRU9aYT4+9kThqZRuptmCBSyjNdpv5qvkO0b7vLZU3/W76V3abvmhryM2IPnDV2/bWPdfggM+u/LPj5j+Lw19z29O29BVFUavTBggpKSlgXC+q2SMd2/Ue/N+h81d93T1uZ7wR/ambdevWkcnkXnabJMgS9Jz18pPycVsARF33Dfxl72b3K7zu8Sg/x8B6GiMw/DWzsSIhdsxyx4kNd5NiaVh9ZmbGbF1NCdb3tFLzI+sU1WQ7i/bzF3//edf958ufbs/U+X39vmVTOh3uc+HPBFlN3dauHvooAqm2MIDRkpygnJs7bgrb6W4rz7pUVPJPTjnwgd7R1pD+hLwiunjWwi0hn6wmrSD+vf6DDVMaqZ2+ic3LmDBVXX3c6OD58+dWVla4IWK00+7vX2H/ZbLBlp2bHbYZJC6Vnmy25lPnhxX4cVFEUlLy4MGD3t7euM0NTWvN3Khc3OArML0v98mjXVeDu+xP1BtiitpLl4hRA9NepFHC5Cz/t8tArSg/LLH4aVDhonlKUFrKXxWViU+Q7Ky/mLKihbXe3IXaCy3EIs/FhGUz+/dcFRsvSRhT+7KyYpTKNlJtISGrKrveaz2sWyLM8twtL7JzKsdj5Mz0Fw14F6C55NmPiSUz9K0+VWNtvMVivPTiuZZ2Yk2NXW8gcEtXPA/oEuJMS0ubPXs2bogWrRXPHvyTw8CUpCeBq1tqioIUhsl9cJC0SB7/BhFl5cqVkZGRvbjb002mZ/6YyfcgCQxkw/S+ftYVgUGSxMzTPycoWmnJzdJbPa894k+/vwoN8PBITyhMNTCdab5s/p7T63aqUE/+EJnOuYyIp4U/oxmk2kLFxN7E7opdnGucsKYo6/MDy6efnDdTtyYzsIi9jKIt52VGQNtEey1lzvpAYpNm7pmjPKFrALKiqHAWsdMeCABXV9dZs8CtJYKMmaKmzXqeNDaztjFobW5sxRihydmVb3ORRZU+3W1xSXG+B0nYgezlO5wGsuiRFSSZ0ZRRprxothQ2UdX6A+m2aHqrFR4eAShoTZtaV1fL4TF0QmIKyxvIKsqrwjtYSPa+8AeMppqZjLap+ooK/MtsHVYg1RY2SjpKG69vnKw6+ZL1JX4XC+xYG3n26atXGPYq7+nZRMqLV2mPVfSstHW3TGw6k5ZDhwGQNkZueT02ljBVovPHP0ZCVW5StxuhrOA1cMRwowPgDzo6OopqmraY+Ox1J46v1Qq9eyf8yWMyOeA1QfvL1XOVhsEdDt3tXpJJVM1U+RgkSXkYGvjL3o9PXOA1kN0dGCSRsDWYA5x0sXE61u/pzJi03AIPjwDGztBeo1xaUME99NZOpya/wMYt0jOeirW/KY7wS0imtYKf0/PCn45YSiM9N2ucrblyt6yUUQLay2YIGDt+rJqR2lTzqfd33q8sr1Q3Ux/EriWciI2VkVN538DsiKXlEVOD9xXHP32Srmds+Z705Clv0v54STfRfM9wohjW3kjJSrnOmLj+vff0pPD/2jP5aakShEmqs96li0RFRSkrKxsZGeG2qCEmpThTndBaO0FOaoyc2ZYff/5+k4ncWK5JDKLF+PHjGxsb8/Pzezq3UjJS0T9Fm+0ww+1BEOLlmXr35hZ3n2m8B7K5MEZiSkvBm1nzl2l2ZHcQJjSWt5oSdaayA9kSMtMJ2RfS5VebTBlTV/4s9FngnVJaLbO5qiglIvnCr08KTMx/+dnaUGZM2+unP24J96mRWbdESXKirOlSzen0zDPfBN2IzI4OiLv5sGbm+pUbTcDlizVTnro/n77LQUuGaynZkQ9aGzmUwFWUeeS8VRdWqRt38mf5QHv5081+aVNnqKqOxRqq838vYsw1WXdv4bTxWFtG9EWD5BbXD3fs0+jTBe2+KtLT01NHR8fWdqAOmoBpp939ynpT4EfXo781nYCNlZSRl+48qGhnvHxwxdv7Zpqs1Xy1xpepee3SWIPOgQv7TAn4dwwdVCrV3t4+ISEBt7vhY+czyDW3TUzm1e/3gMbm39yFUgqqkR514VEDcc1y9T58k/aSFNcAwtc7Z/a28LGhPNAjbtLGNdbgsh6twMU2iCEkPzn/MvEymUTm7+K3lvRon5+z63GrueLGjVPYxdDEjo6mwqhlp93mPsirg6vX3sKoq+u25uz6YVJRTjZudEAikbKzO/WIFC0pp+fgVzdE2XT9H+HFDfBoW23qxW2m2tsup+GbirU1F4ceWrTCNVFIKw/7hEgkJif3uK1XsHMwJYaCG/2nvKjw0jeOwRc8GuvfXhrCoKEy+mJwbFHnq60LdbS756PZiyG500SP9X0YS+XDdnDDGaTaIkFjfWOcT9w583N8WwHfVpt96GrQY46lwpUv/JVPeR7IYLBundb6xIjLWh6XnDOr3sp0SzHl4YHIl3TWCmVOuqs2EMJ6od7z/aS5OM7dQRsq9luU94e/YR2ry764iYDZn0tndHwrpKUy2PlIdCVuDTU+Pj4eHh640Y1nfs/AF270EyDZLivNu2z7iRh2oNlIkUBcUnyuw1y7K3Zpt9Nu7rg52AJv7TUF1x5G/9nQmEEtb4ARsMbyF5UtU7DmM4/DruXXto+RNF24/v5CtcK4K7re/2y9fo3oc/sqU+8nKy0Zni4JEa4Y1V6f/u9h1yknqG+da2bxI9cP8YOtuQ//DmIsWLZw1kS8h8VYmfnbtupx9gwlixcvDgsLw41uTFKcVBhfiBv9ITM+9sxqtTWH3NA2NMMeeGWPFphl2ef9zmFup1YHPk0pK42KIS9yd8Muki9mlzHb2tveFPgF+8qcveaazjJZtDLTkx78RXnzbmjXXHHj3xt+Fb2N9drqS0OiyOu8vb+4G3qMfH3dlRs7fLxc81rKKBHHE6m1XZ3ZLgB3GzjdwPUWkQ3gu/ja2dnZjo6OuCGKtNWluC9T3nLuKa3jM2yuLU6943zsenZHAKTs7hcEDHPwK2YZoksve97Tsmk3HG/gBs8kh4d0r/+FGKaMMl9bQkFnp5XpxnHtzdKq7ylMXTh3yQH1MVjbBH1VBQkxTGyy2nIN2XkGC7/RZ5lYezMlMejWeLPt2pPZsyPclxpy0F5f9Pfd204l8oc3fn5+zbIfiRuurZyt3MrKPFXQtnaUSj2cVNbT3tcdGNgabAneUkOtuWR9SZjrcXhHRkYGb4kiYlJGX/33/MhcZmrwHX9/cnhy2cQF332/QWfoZxp5x87OLiMjAzc6o6SjRPOm4QZvhHh5Pvjjp8+8/VGN7JHB6IuQiMnO2qQiFkrJZK0VHEOYqzNdmUG5k9+xf19744t8ur22CkwoaqA+3l+gul1XmiPNgvtSQw5ac5LDvimR+G6epcHbpLpxsnrfmKvWNbWAX66g/b5F/oMbJb0v+SDIEpb/sByuxwnYHzCCdzUTDGMk5LWMrJbb2dvb2y23MtKSZ+eQyM4wNpbBUnOLuy0BFSnMzMwSE/lT4Q9IdnF6KpLskcQojGuPnWyhpSJTkxNVxqpVVs1g1GJt/7x8XQNuYyY1vFZzASxP1s58+uIFpjpDjTM1jvtSQw6aSh6+rGJM0V44tVNaksxMq60qHT9onOwcpcbjSa9Yv64P4HocNUs1XzXfx76Ph6rcq8Rk6TcV5bgx3BmrsXDzIiw1PCKt80a37fXVb0Somu6MGTPy8vJwgxu8XAxNTObf3+4Ako12ohlhjELVxjAFdZ314+tvUKj1zfTHBWKfK0vSCtOiq7F6Wk6qotZM6Gk3VSSXtM2WfRcbAdTkc1tqyEldRQoDw6QIMp1zScUkZGfg23WITVNQrCvOz+Gm+d0QlxQ3sTdxrHSEAZMh2ZFSWVu3prwUN4Y9E/U2HXQnvj56+EI07e1H0FL82NPlYgYPD1JhoaOj08vSdg2SBr2wj+GX0JOyEcJjVKq22GSN1Upij19npRblBkrO+el9nXnNxffySx5n0VZoKuKnhFH+rF5ssjiHp91aE02p+1RHcYzU9DVaUrTC1Afdy5/ywARxcfGGivw63OQBdsAk8WxiwP4APm8h2BcTJhKqS4pxY/gjNtnc6cqd6zZ5R6yMF33y6dZPPyLuvFa5fO93c7mXgB6OQMlWMTD67JQXkuyRx6hUbTxIUvfKOSJVRWOGvNLM9ZPbrzwNOlmrg4dHuNFOz75Ga3z8LOyPBxF3K8YQWsovZhZ3nVecKG9MAD55ZTH/h9tKOkpbyVtnLp1J3kIWZrB7qvqMqiL+1ksZYsQIumv2nX34MjPi1j8+/9wJuLRvjU7nCs8iAJFI7H0X4J5gS/byHU54F2JkMTpVGw+SNN9rVFiuKolJqCzVmsSoe9Oq9jY8AiAomEq1lb8LH7ZmZmXOXLzh1Ipl+5Yt++mjj7yVxR68zHjeMYv5DnGlhRqTMEZuREln2W5rrGbiM5CNTU1NUkpaA0xpMLA12B61HQa7Iz0jhRDslp+mlh3gihsIYaGjo1Nfz71UaZ5rnqwa9xXttVV0JNkjntGq2jBIojxNx4ylnmN1tXVtx078aMbUd+dDXHG++oQU+hsYu25nvLpZOHUVkHjIOLllBurKtZTbr+vaWTOXJQ+SkhOrgS6P1TNd4i7ffDQ6IrrqbaJIc/Xj2JCLVLjepb2ovHTKNHXtLnXi+wE72A3al6wvJfknCVS7wRBbfjYRbh0JqarirKuJGALANYC3OACf0fnNK5Bkj3hGq2p3BElUt86cAWcbx8hrrVefOVeO43SIiZvMsdSiUrIa+15q2Fr96s/YKNvITHobJjZxhpP9x9dVa45cO7fI9/rWq5eJ5KeVM22/02aVK8MaS2OoE/YbzZAa7IicIEuwcbKxu2JXGF94feN1gWZ2z1ywlJqFpw/3PlGGGCqAZP/taD/7Iwck2SMffLUNghstxekhx5/TednEv636xZGorsWYutGSn3zveDq79Ae/gOvlLhMvD6auUC9kPI65c9IZNzrKG/W0cg/BL8C9ybXYC9e1kbDASPCFHquXIEYSo9bX5omxyvpLtom/+Cu7uo9kkaaygNS6j81696DbaZTHYRPnkfQ5l+3wBSUdpfVe6+eR5sFVOXxPMlGdpZf6z49NTDyIb2FhkZ8vwG1nERCuxV5qy2ulNaRxowPkZY820K4IfTBmkvx0C/m3myv2xNiJutNVp/ZRo11skpz6HLku+8fwETl1OeMNxvW19eHfhRflFElPlybI8WcZ9wRJybysookKigqqrCLgTCYzPT0daDc8iuA7FAqloaHhww/fFr3igBJJmawyWVlPGZrgUfrvLwdnLlyOJHv0gHztkYaJvQlMMoEJgvzyuy03bEsNDoBtfX39XorSIQbP69eve9rOpuBRgYqhCmyjJL/RCVLtEQhMMuHU7sEnd2sZmRQmRNZWsX6OqipreXQvu4kjBkliYuKcOZ23duigidlE86bBtD8k2aMWFCEZsYwdPxaMo2dvmd3Y0Bj6dSijkSE/U55rxhgvjB0/nlHfWF6QP+M9lg8oLi6ekpKCgiSCgMlkLlmyxNPTc/z4rjG33ITcFrkWg1UGoH3Xw1VMTMzufz/CQ4jRA9o3clQAfLS0oLSEEwm6Drpmm8wIsgOJdwNH+/zmFd/4RYlLSgJlkZKSqqyslJUd+AaGCK7ExsYGBAS4uLjgNgdg2DRz6UwDWwNYyQ/VGBmdIF97VMD2u9+UvgnaFTQwv3uCpGR5aTnjTbXqLD3gBsrLy7948QK523xnz54927dvV1fvuvszg86IOxa39PDSsMvnkGSPZpCvPeoAN3/itcSUr1OMPYz763fDJDPobtPpdDk5OeRu8xfgaLu6upLJZNzm4LHv48aaRkWz8YG/7N11NXiSDDrtoxSk2qMUoN2USErCiQRlG+X3Hd9X0lHCD/QFGJuDVzgD5u/vHxQU5OXl1XEEMViYTKa1tfWFCxeMjY3xrrc0MZsuWV9633lmmNsPaIuDUQ5S7VENjHe/8H0hoSBhss1Ee36Xnc250MRknl5rvdn9ispMHWDu2LHDyMjIyQmlMfCB48ePg9cffvgBmpwk+SflPIovyL6MJBuBVBvBIic2J841DjTmkeb1qd0pD0OT/7v92SmWi02n01esWOHm5jZ//nx4FDEwQkNDz549e/369e5LIsHD9cLCk3VTbn14zFPPEp3n0Q5SbcQ72NpttttM20q7l+nKv7/dofm+lfVGB9CmUqn29vZIuAdDbGzs3r17/f39YS58F8g/XE2PPGb/pzeSbAQAqTaiKyWUkifeT2iRNCMno/fWvMd1uhJmAbLjJEi4BwOQ7AULFiQnJ3cPZwNePaFc3WW76vhZs5Wr8C7E6AZl/iG6QpAj6C7T1V2rW5hYeN/mfoN8w2SVyZKTOw3bJ0hKymrp+x38YvaqtaA9efLklStXbt++vbGxEeUC9gvgX//8889PnjzR0WE9/7pALy6/vHnTLOK6ZTtY5dQRCADytRG9wZlqok/U7xLy7rLWg06nHzhwADQOHz7MdaSP4ITJZIITVVVV1dPpamIy3WzXKOgbb//rJN6FQCDVRvBCE7MpPyk/6XJSVWpVl7BJ90V6wHlcu3atn5+fvb097EF0JyUlZefOnQ4ODp9//jnXiqxAsj0/Xje2deqXd84PuA4BYkSCVBvRD0ooJVmhWSlfp+g56xl9bKSkowRrGElKy2w48m4FNpVKPXr0aHl5OYlEQpHuLlAoFG9vb/B65MgRroFsADirXju21mWO2f3Ae2DlBxAjGKTaiH7DzvIGbbPdZtPNVW8f3SejrrHqy72ca6zhMj/QQNoNgXodGRl58ODBlStXcnWxAWzJdgw4K6uKFkAiuoJUGzFwcmJzcqNyM3/MfM9Nr+D1f0BwuhfHANp9+fLl1NRUIFU2Njajc/k7OAkBAQF96jUASTaiT5BqIwYLe8ayXiK2fXLxOpez6vqz8GNvAW5maGjo119/DfxuIpFoYmLSi3KNGKhUKplM9vX1NTIy2rZtW5/vuraKfvnLncyccUiyEb2AVBvBNwpSCiLPX3n9+K9ps7cv3LVpusn0LtNoTCYzKSkpKirqxx9/dHR0XLdunZmZ2QjzvsF7zM7OjomJgdv92Nvbr1mzhpf3WFFM/evjZeMbjZBkI3oHqTaCz+Snp/v98O3YViXxMgs9h/c0F2iqG3ctOgrlOzk5GfihKioqS5cunTNnjp6e3vBVcDCYSEtLi4+Pd3V1BQ+klStXWlhY8J7++CI6KoDkqKj+6VbfgyhjBNE7SLUR/KeJyYy4cjH137/1l+2qy55clVql66A72242VxeSSqVmZGQkJibC8qQ2NjaWlpaamprq6uqiLOJApsvLy1+9egXEGig1kUgEbvXs2bNnzZrV3+BPgItb6vXThqt/WvOjA5JsRJ8g1UYIiuKXlBBP1/qqcouPv2ipkqb4s/aZ1LHXmTZ7WnfvGwIUPD8/v7S0FDitkZGRT58+JZFI0tLSurq6QMelpKS4LiAUNHQ6vaKiAmg0/MOAXgcEBACZBn8MfMAMQKkh9OJy3y++qisqXnvqrO7C2XgvAtErSLURgiUzPvbhOVb+3+IvSTLyGnlx+QWPCqD3zTV4wgmTySwsLHz9+jWDwQByWVVV5e3tDfqhYkI1B6aioqKCgkLH/8CAsvd3WSZ4VNTX18M2aOTm5oIG+HXgFT45zM3NwQgA/jr4uwb/8GhiNkVc8Hty+XtVi7WfnDhEkJmCH0Ag+gKpNkIYAO1ODQ4oTIi0+NTJwHqxhIR0fmJ+2u00mjdNz1lP1Ux1utl03peTAG8XvELnFzSysrKqq6s7jrAOAUcYtnkEPgNwA8OA+wxeoWsvLy/P9ygN0OvEf2Oj3H4Tm1iz8vDvRkut8QMIBG8g1UYIj4pi6rN75Od3fOV1jOZ8uE5rjplYuzgtk5YblZtHzpNUkYTxE6VZSiMyvMugMzJCX0S6nma23TTd6m77hWOX3HYEgheQaiOGgLznKZQnMVC+9ZesVNMzVJmpU0IpKU4rLowvzHPNU3ZUVrdSHxkKDqu4ZIWkpl+70zo1SXfNp7Zf7kK7PiIGDFJtxFAC5Lsg/XlasH99ebH2UrsZxmZT1WcABS9IKSh6XlTwqIDmTWMruKy67DAqygHFGgwjnnuGjTWg1lbcMN9xymrjp0ivEYMEqTZCJKitor9KTix9RXkZE1bxPGAWkaRhajl1uqa8mnpdeRPbB5chyihZKCnoKqgYqhDkCaIm4gw6g15AB8+b15EvqcHPJS1qaqvj5PVNzT/epDXHDOk1gi8g1UaIHEDBKwoLgA9Oy04rTIispz0FIq48y3CKotKECTLtTRJvChllaWVAxCXMJZRtlKcaTp2sNFluhpysmqyQwyl0Kp1RwajIrSjPKs8lU5raSiW1W1rH0crSfNWtHfWXrNRfYIPEGsFfkGojRJ0mJrOiqLAwM42Wk9VQU50dwMojBDoOXpVnGddXMMa0TaotYo7H5ICOg04NkgZ4BVI+gTBBXlNeXIql44MU9BJKCXitLa+tLa1tZDSCZ0ZDVUPhf8+ljMTGybWMmcSoKc2uLQiDTxd1g9nTtGehmUaEgECqjRh+QB1/U1FeU87K/Mt7Fs+sriqIYqVyA9Std4PXhkqG/Iz3ql5WgLa4hHTF/dqOgyzklyiIT54wcbIKbnemrqYYNorvUGGjTYJOMJIaN3F8G1bbPo4BeoArDV6BNy0pLaNhajlZQVFBfbq8Ctq+ByEMkGojRhRQ0EGjsb6+LJ+1XgYAnXTYbmtpa2QwG2urS5OuwZ4uKJpsmjBJGjTGSYiPlxgPGjLT1KWVWBI/YSJhqvoM0JCfpoZcacRQgVQbgUAghhNj8H8RCAQCMRxAqo1AIBDDCaTaCAQCMZxAqo1AIBDDCaTaCAQCMZxAqo1AIBDDCaTaCAQCMXzAsP8DoVd4Rt/T45AAAAAASUVORK5CYII=)\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![ejemplo.png](data:image/png;base64,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)\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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
CustomerIDGenderAgeAnnual Income (k$)Spending Score (1-100)
01Male191539
12Male211581
23Female20166
34Female231677
45Female311740
\n
","text/plain":" CustomerID Gender Age Annual Income (k$) 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$) 0\nSpending Score (1-100) 0\ndtype: int64"},"metadata":{},"execution_count":5}],"execution_count":null},{"cell_type":"code","source":"df.describe()","metadata":{"id":"vQXaIf_azXOP","colab":{"height":294,"base_uri":"https://localhost:8080/"},"cell_id":"09116930c83f442783918085f9bf3663","outputId":"59ea6908-3e78-45fe-9353-b0c254ea9890","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
CustomerIDAgeAnnual Income (k$)Spending Score (1-100)
count200.000000200.000000200.000000200.000000
mean100.50000038.85000060.56000050.200000
std57.87918513.96900726.26472125.823522
min1.00000018.00000015.0000001.000000
25%50.75000028.75000041.50000034.750000
50%100.50000036.00000061.50000050.000000
75%150.25000049.00000078.00000073.000000
max200.00000070.000000137.00000099.000000
\n
","text/plain":" CustomerID Age Annual Income (k$) Spending Score (1-100)\ncount 200.000000 200.000000 200.000000 200.000000\nmean 100.500000 38.850000 60.560000 50.200000\nstd 57.879185 13.969007 26.264721 25.823522\nmin 1.000000 18.000000 15.000000 1.000000\n25% 50.750000 28.750000 41.500000 34.750000\n50% 100.500000 36.000000 61.500000 50.000000\n75% 150.250000 49.000000 78.000000 73.000000\nmax 200.000000 70.000000 137.000000 99.000000"},"metadata":{},"execution_count":6}],"execution_count":null},{"cell_type":"markdown","source":"# EDA","metadata":{"id":"yR6aL4_4zZnm","cell_id":"7b9c92a7cf4749ffa36c05ae30bb15fe","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"plt.figure(1 , figsize = (15 , 6))\nn = 0 \nfor x in ['Age' , 'Annual Income (k$)' , 'Spending Score (1-100)']:\n n += 1\n plt.subplot(1 , 3 , n)\n plt.subplots_adjust(hspace = 0.5 , wspace = 0.5)\n sns.distplot(df[x],bins=30)\n plt.title('Histograma de {}'.format(x))\nplt.show()","metadata":{"id":"tzS1w_7RzaX6","colab":{"height":404,"base_uri":"https://localhost:8080/"},"cell_id":"64f9efa21c174e8e92a8f04e04df39f4","outputId":"0fe99ef4-c5e0-4284-af1a-89c0bcd3d25c","deepnote_cell_type":"code"},"outputs":[{"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":"# LabelEncoding","metadata":{"id":"g43cG9ZpzkLa","cell_id":"e5c26f02c5ea445fb2b3e9988063a460","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"label_encoder = preprocessing.LabelEncoder() \ndf['Gender'] = label_encoder.fit_transform(df['Gender'])\ndf.head()","metadata":{"id":"U4W_v1FpzlZ9","colab":{"height":202,"base_uri":"https://localhost:8080/"},"cell_id":"d56d53deb1484b038f06d23a2b18a346","outputId":"af06d76c-86bc-4ee1-9197-cf20ab9ecb88","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
CustomerIDGenderAgeAnnual Income (k$)Spending Score (1-100)
011191539
121211581
23020166
340231677
450311740
\n
","text/plain":" CustomerID Gender Age Annual Income (k$) Spending Score (1-100)\n0 1 1 19 15 39\n1 2 1 21 15 81\n2 3 0 20 16 6\n3 4 0 23 16 77\n4 5 0 31 17 40"},"metadata":{},"execution_count":9}],"execution_count":null},{"cell_type":"code","source":"df.shape","metadata":{"id":"hOJ9yY4O1HL5","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"04cc8ddc6b8a46fdb252b96905e2d9c5","outputId":"b44169d8-59c7-4f96-f218-62fa41294283","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"(200, 5)"},"metadata":{},"execution_count":10}],"execution_count":null},{"cell_type":"markdown","source":"# Heatmap","metadata":{"id":"p7bS9eIczsrk","cell_id":"19e402df33c24ab6964a6df29960172b","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"plt.figure(1, figsize = (16 ,8))\nsns.heatmap(df[['Age','Annual Income (k$)','Spending Score (1-100)']])\nplt.show()","metadata":{"id":"QqqMlCqrztmF","colab":{"height":485,"base_uri":"https://localhost:8080/"},"cell_id":"eb50b87a281c4408b179ded887ab235c","outputId":"6b164dd7-98da-4500-f9f5-bc1b6dbd839f","deepnote_cell_type":"code"},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":"
"},"metadata":{"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"# Scatterplot","metadata":{"id":"qGjVL3gJj8V-","cell_id":"4cbe838a23864a5790ba6bddbe8a35b0","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"plt.figure( figsize = (12 ,6))\nplt.subplot(121)\nsns.scatterplot(df.Age,df['Annual Income (k$)'])\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":"iVBORw0KGgoAAAANSUhEUgAAAtYAAAFzCAYAAAAaKU4GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdfXwV5Z03/s83BAgBCeE5AhGjWbU8KU017kq3hV1rWXel1ofau+pad7O9a4Vdt61u17v2wfZVt9sH2dr2htqtdrsF1K7aLaJdq5X+bqQbtCDUVSACBhMIiIEAIZDz/f1xzoRzTmZOZs48z3zerxcvksk5M9c8nDnXXNf3+l6iqiAiIiIiIncqwi4AEREREVESsGJNREREROQBVqyJiIiIiDzAijURERERkQdYsSYiIiIi8gAr1kREREREHqgMuwBuTJw4UWfOnBl2MYgo5TZt2nRAVSeFXY6k4r2eiKLAzr0+1hXrmTNnorW1NexiEFHKicjusMuQZLzXE1EU2LnXMxSEiIiIiMgDrFgTEREREXnAt4q1iPxQRPaLyFaTv/29iKiITMz9LiKyXER2iMgWEZnvV7mIiIiIiPzgZ4v1jwBcUbxQRGYAuBzAnrzFHwTQmPvXAuB7PpaLiIiIiMhzvlWsVfUFAG+b/OlbAD4LQPOWXQXgYc16EcA4Eanzq2xERERERF4LNMZaRK4CsFdVNxf9aRqAN/N+b88tM1tHi4i0ikhrV1eXTyUlIiIiInImsIq1iFQD+ByAz7tZj6quUNUmVW2aNIlpY4mIwmQ2nkZExovIL0Vke+7/2txyjqchokQLssX6HABnA9gsIrsATAfwkohMBbAXwIy8107PLSMiomj7EQaPp7kLwLOq2gjg2dzvAMfTEFHCBVaxVtVXVHWyqs5U1ZnIhnvMV9VOAE8CuCnXmtEMoFtVO4IqGxERlcdiPM1VAB7K/fwQgCV5yzmehogSy890ez8FsAHAeSLSLiK3lnj5WgBtAHYAWAngk36VK20yGUVbVw827DyAtq4eZDLq6nVERDZMyWsc6QQwJfdzJMbT8H5HRH7xbUpzVb1hiL/PzPtZAdzmV1nSKpNRrNvWiTvW/A69JzOoGl6Bb153Ia6YNRUVFeL4dURETqmqiojjmquqrgCwAgCampo8q/nyfkdEfuLMiwm26+DRgS8PAOg9mcEda36HXQePlvU6IiKb9hkhHrn/9+eWhz6ehvc7IvITK9YJtu9w78CXh6H3ZAb7j/SW9ToiIpueBHBz7uebATyRtzzU8TR27ncMFSGicvkWCkLhmzK2ClXDKwq+RKqGV2DyGVVlvY6IqFhuPM37AEwUkXYA9wD4GoA1ubE1uwFcl3v5WgCLkR1PcwzALUGXd6j7HUNFiMgNtlgn2MwJo/HN6y5E1fDsaTa+IGZOGF3W64iIiqnqDapap6rDVXW6qj6oqgdVdZGqNqrqn6jq27nXqqrepqrnqOocVW0NurxD3e8YKkJEbrDFOsEqKgRXzJqK85cuwP4jvZh8RhVmThg9qNXF7uuIiOJuqPtdqVCRhkljwigyEcUIK9YJV1EhaJg0ZsgvBLuvIyKKu1L3O4bGJVMmo9h18Cj2He7FlLHxazyKe/nThBVrIiKiHCNUpDjGmqFx8RX3uPm4lz9tWLEmIiLKYWhc8ljFzZ+/dEEsemnjXv604eBFIiKiPEaoSHPDRDRMGsNKdczFPaVs3MufNqxYExERUWIZcfP54hQ3H/fypw0r1kRERJRYcU8pG/fypw1jrImIiCg2nGbI8CNuPsgsHYz7jxdWrImIiCgWys2Q4WVK2TCydDAlbnwwFISIiIhiIQozY0ahDBRdrFgTEVHiZTKKtq4ebNh5AG1dPchkNOwiURmikCEjCmWg6GIoCBERJRon2EiOKMyMGYUyUHSxxZqIiBKNXffJEYUMGVEoA0UXW6yJiCjRSnXdczBYvNjNkFFO1g6772GWDiqFFWsiIko0dt0ny1AZMsoJ/XH6HmbpICsMBSEiokRj1326lBP6w3Ah8gpbrImIKNGi0nXvJDwhyAlIkqac0J9yw4V4nqgYK9ZERJR4YXfdOwk1YBYTd8oJ/SnnPTxPZIahIERERD5zEmrAsAR3ygn9Kec9PE9khi3WREREPnMSasAsJoWchluUE/pTznvScp4Y7uIMK9ZEREQ+cxJqwCwmp5UbblFO6I/T96ThPDHcxTmGghAATvdr4HEgIj84CTVgFpPTohxukYbzFOXjH1VssSY+kebwOBCRX5yEGkQli0kU+BFu4VVoQ7nnKU6hFWkJd/ESK9Zk+UR6/tIFqfrg8DgQkZ+chBqEncUkKrwOt/C6AcXpeYpbA04awl28xlAQKvlEmiY8DkRE0eJ1uEXYoQ1hb9+pNIS7eI0t1sQn0hweByKiaPE6LGbf4V7UVo/A1fOnQ3KreGxTe2ChDXELrWBYknOsWNPAE2lx11Tankh5HIiIosfLsJi6mircdOlZuP/Z7QP3+WWLGjF1bDANKHFswGFYkjOsWBOfSHN4HIiIkq0/g4FKNZBtLb7/2e24/F1TA9k+G3CSjxVrAsAnUgOPAxFR/NjNtLH/iHkoRldPL86Z7P9932kDTpwyiFAWK9ZEREQUW04ybUw+wzwUY9KY4EIx7DbgxC2DCGUxKwgRERHFlpNMG8MqgGWLGguyXCxb1IhhEawNxS2DCGWxxZqIiMgldtmHp1SmjZkTRhecl32He/Hwht249bIGiACqwMMbduOi+nGYOTFaIYBxyyBCWaxYExERucAu+3BZZdqYOrZq0HlZeWMTDh3rwwPP7Sh4bRSzcsQxgwgxFISIiMgVdtmHy2oSk/4MBp2Xu594Bfd9eG4sJjzh5CzxxBZrIiIiF9hlHy6rTBsb3zg46LzsPngc08ZVYa3HaVW9DgUy1jfpjBFY3dKMY339DDGKCd8q1iLyQwBXAtivqrNzy74O4M8B9AHYCeAWVX0n97d/AHArgH4AS1X1ab/KRkRE5BV22YfPLNOG1XkZP3qkp2lVvQ4FslrfJWdPYKU6BvwMBfkRgCuKlv0SwGxVnQvgdQD/AAAi8i4AHwEwK/ee74rIMB/LRh7KZBRtXT3YsPMA2rp6kMlo2EXyXRr3mYjMscs+moI6L16HAjG0KN58a7FW1RdEZGbRsmfyfn0RwDW5n68CsEpVTwB4Q0R2ALgYwAa/ykfeSOOgnTTuMxFZ46yt0RTUefE6FKjc9TEzTTSEOXjx4wCeyv08DcCbeX9rzy2jiEvjk3Ua95mISjNCEZobJqJh0hhWaCIiiPNihJzkcxMKVM76jAafxcvX44aVG7F4+Xqs29bJ3tQQhFKxFpF/BHAKwE/KeG+LiLSKSGtXV5f3hSNHSj1ZJ1Ua95mIiMx5HXJSzvrY4BMdgWcFEZG/RHZQ4yJVNR6l9gKYkfey6bllg6jqCgArAKCpqYmPYiFL46CdNO4zERGZ8zrkpJz1MTNNdATaYi0iVwD4LIC/UNVjeX96EsBHRGSkiJwNoBHAb4MsG5UnjYN20rjPRERkzeuQE6fr8zochcrnZ7q9nwJ4H4CJItIO4B5ks4CMBPBLEQGAF1X1E6q6TUTWAPg9siEit6lqv19lI++kcdBOGveZiIiiy2jwKR5Uzwaf4MnpaIz4aWpq0tbW1rCLQUQpJyKbVLUp7HIkFe/15IekZdEw9ocNPqW5Oe927vWceZGIiIhSJYlpU80myaFCQZz3MNPtEREREQWOWTTSKYjzzoo1ERFRmTgLazwxbWo6BXHeGQpCRERUhiSGE6QF06amUxDnnS3WREREZWA4QXwxbWo6BXHe2WJNRESJEWSmB6eTciQtC0WcMW1qOgVx3lmxJiKiRAg6NMNJtzLDRqKHWTTSye/zzlAQIiJKhKBDM5x0KzNshCgd2GJNRES+EJG/A/BXABTAKwBuAVAHYBWACQA2AbhRVfu82J7T0Ay3nHQrB102IgoHW6zJUhBppJiqiiiZRGQagKUAmlR1NoBhAD4C4D4A31LVcwEcAnCrV9s0QjPy+Z3pwehWbm6YiIZJYyzDOsIoGxEFjxVrMmXEAy5evh43rNyIxcvXY922Tk8rvkFsg4hCVQlglIhUAqgG0AFgIYBHc39/CMASrzYW5UwPUS4bEXlHVONbiWlqatLW1tawi5FIbV09WLx8/aBBOWuXLvCs2zKIbRAFQUQ2qWpT2OWIGhFZBuArAI4DeAbAMgAv5lqrISIzADyVa9Eufm8LgBYAqK+vf/fu3bttbdPIvGFnxH/QWTqclI0oCZKWCcfOvZ4x1mQqiHhAxhwSJZeI1AK4CsDZAN4B8AiAK+y+X1VXAFgBZBtR7L7P7oj/MLJ0MAsFpUlaM+EwFIRMBREPyJhDokT7EwBvqGqXqp4E8DMAfwRgXC40BACmA9gbRuGYpYPIX2n9jLFiTaaCiAdkzCFRou0B0Cwi1SIiABYB+D2A5wBck3vNzQCeCKNwpXrMKNk4aD4Yaf2MMRSETAUxOxFnviJKLlXdKCKPAngJwCkALyMb2vELAKtE5N7csgfDKJ+TyV0oOdIanhCGtH7G2GJNluymkYr6NogoHKp6j6qer6qzVfVGVT2hqm2qerGqnquq16rqiTDKxh6zdEpreEIY0voZY4s1ERElzlDZCCoqBJdfMAWrW5rR0d2LupoqzKqr4cN9hHmRYYKD5oOT1l5pVqyJiChR7HT3ZzKKZ17dx5CAmPAqhCOt4QlhSWMmHIaCEBFRotjp7mdIQLx4db7SGp5AwWGLNRERJUp+d39dTRWunj8dIkBXz4mBrmiGBMSLV+eLIUDkN1asiYgoUYzu/trqEbix+Sws/9V29J7M4Afr2wbCBxgSEC9enS+GAJHfGApCRESJYnT3X9s0faBSDRSGDzAkIF68Ol8MASK/scWaiIgSxchGUNzCCRSGD0QxY4EXmS+SKD/DxOHjfTiVAQ70nMAre7sxq24sKivttRO6DSkpPj/1tdXYc+gYzxcNYMWaiIgSp6JCMHPC6JLhA1HLWMDJS0qrqBDU11bj8T2HcPfjWweO0b1LZmPJvGm2KtduQkqKz89ZE0bh9oWNBWXh+SKGghARUSLFLdyDYQpD29bRPVCRBbLH6O7Ht2JbR7et97u5JorPz5Vzpw0qC88XscWaiIgSKW4TVDBTydA6us2PUWd3L+bNsH5ffgjHu+rOwC9uX4CuHmfXRPH5EQHPlw/iHg7FijURESVW1MI9SmGmkqHV1YwyPUZTa6yPkd+Ty/B8eScJ4VAMBSEiIoqAuIWuhGFW3Vjcu2R2wTG6d8lszKqrsXyPX5PL/Hzz3kFl4flyJwnhUGyxJiIiMpHfJV1XU4X+DLD/SOnuaTvd2FaviVvoShgqKyuwZN40NE4eg87uXkzNm+ClravH9LgXh3AYkwa9vu8IANg+xmbnp762GvPra3m+PJKEcChWrImIiIrkd0nXVo/ATZeehfuf3V6ye9pON/ZQr4lT6EpYKisrMG9G7UBM9VDHND+Eo66mqmDSIKehBmbnh+fLO0kIh2IoCBERUZH8Lumr508fqFQD1t3Tdrqxk9DVHTVDHdP8EI6r51tPGkThS0I4FFusiYgoVeyEa+R3SdvN/mCnGzsJXd1Rk39MjTAPEaCr58TAuTVCOF7fd4THP8KSEA7FijUBsJ/exuvXBVFmIiKD3awDxV3Sdrqn7XRjJ6GrO2qMY1pbPaIgzOMH69sKzq1Rcebxj7a4h0MxFIQGvmgWL1+PG1ZuxOLl67FuWycyGfX1dUGUmYgon91QjPwu6cc2tWPZosYhu6ftdGMnoas7aoxjem3T0GEePP7kN1GNb0WkqalJW1tbwy5G7LV19WDx8vWDnuDXLl1Q8MTo9euCKDNREERkk6o2hV2OpPLyXr9h5wHcsHLjoOWrWi5Bc8PEgmVGr9j+I72YOjabFWSoSUXy32P1OjuvIXuMY3nw6Am8c+wk/vrhTYNeU3xuefypXHbu9QwFIdsxf16/LogyExHlcxKKYdYlfc7k0vcXO93Yce/qjorisJ5li861dW55/MlPDAWhgS+afKXiB716XRBlJiLKx1CA5CgO61nTai9kh8hPbLGOIa8H7RlfNMWDeaziB716nRtBbCNOOJCTyJ4kZB2grOKey47uXjy8YTceuuViKJTnlkLBGOuYsTuivZz12ok58/p1bjBOLsuva4LsY4y1v9J4r6ehcawNBc3Ovd63UBAR+aGI7BeRrXnLxovIL0Vke+7/2txyEZHlIrJDRLaIyHy/yhV3fk0uYMScNTdMRMOkMZYVMq9fF0SZk44TThBRGjGsh6LIz1CQHwH4DoCH85bdBeBZVf2aiNyV+/1OAB8E0Jj7dwmA7+X+pyIctEfFeE0QURpFKawnCuF4USgD+VixVtUXRGRm0eKrALwv9/NDAJ5HtmJ9FYCHNRuX8qKIjBOROlXt8Kt8ccXJBagYrwkiSqsoZPiIQjheFMpAWUFnBZmSV1nuBDAl9/M0AG/mva49t2wQEWkRkVYRae3q6vKvpBHltOsrk1G0dfVgw84DaOvqSdQEKkneNyfYHUpEFJ4ohONFoQyUFVpWEFVVEXFcE1LVFQBWANkBLZ4XLOKcdH0l+Qk2yfvmVJS6Q4mI0iaMcLzisA+GBEZH0BXrfUaIh4jUAdifW74XwIy8103PLSMTZl1fZrFVVk+w5ydgxHSQ+xaHuLUodIdSfInIdAAfAbAAwJkAjgPYCuAXAJ5S1UyJtxOlWtDheGYNSytvbGJIYEQEHQryJICbcz/fDOCJvOU35bKDNAPoZny1fcaHbPHy9bhh5UYsXr4e67Z1lnyCjbug9s3q2KY17ISSR0T+FcAPAfQBuA/ADQA+CeC/AFwB4Dci8t7wSkgUbUGH45k1LN39xCu478NzGRIYAb61WIvIT5EdqDhRRNoB3APgawDWiMitAHYDuC738rUAFgPYAeAYgFv8KlcSWbXerm65NLFPsEG1ECS51Z8o5xuqutVk+VYAPxOREQDqAy4TUWwEHY5n1rC0++BxTBtXhbUMCQydn1lBbrD40yKT1yqA2/wqS9JZtd6e7O+3PTthEOEOXm4jqJkXGbdGSZdfqRaR8bllb+f9vQ/ZRg8ishBkOJ5Vw9L40SMZEhgBnNI8AUp9yObXjx/yKTqIgYBebyOoFgKmsqOkE5F6AP+EbKPHO9lFMhbArwDcpaq7QiweERUJqmGJysMpzRPAbaU1iGlh4zr1LLOPkB1xntJcRDYA+DaAR1W1P7dsGIBrAfytqjaHWT7A/3t9HAYoE+UzrlmGfQTLzr2eLdYJ4Lb1Nohwh7iGVDCVHaXARFVdnb8gV8FeJSJfDqlMgeHDM8URM0FFFyvWCeHmQxZEuEOcQyp4A6OE2yQi30V2Nlxjoq4ZyGZuejm0UgWEA5SJyEtBp9ujCAoiVRBnBySKrJsAvALgiwCezv37IrJZQW4MsVyBiHpaUs4wSxQvbLGmQMIdGFJBFE25rB/fy/1LnSj3pjFMhSh+hmyxFpFLReQBEdkiIl0iskdE1orIbSJSE0QhyX9GuENzw0Q0TBrjy007iG0QkTMiUikifyMiT+Xu81tyP39CRIaHXT6/Rbk3zSpMZdfBoyGXjIislGyxFpGnALyF7AyJX0F2CvIqAH8A4P0AnhCRb6rqk34XlIiIfPFjZNPsfRFAe27ZdGRjrP8NwPUhlSsQUe5Ni+ugb6I0GyoU5EZVPVC0rAfAS7l/3xCRib6UjGKDqarSgec5sd6tqn9QtKwdwIsi8noYBQpaVAcoRzlMhYjMlaxYm1Sqy3oNJRdjANOB5znR3haRawE8pqoZABCRCmTzWB8KtWQpx4lAiOLHToz19SLSkPt5rojsEJG3ROTD/hePoo4xgOnA85xoHwFwDYB9IvJ6rpW6E8DVub9RSIwwlbVLF2BVyyVYu3QBH2YjhllbqJidrCCfAfBHuZ+/DGAZsmEgTwN4zKdyUUwwBjAdeJ6TKzdl+fUAICITcssOhlkmOi2qYSrEnjwyV7LFWkTuAXAmgDtF5IsALgPwHgAtAGpE5PMi8l7/i0lRZcQA5mMMYPLwPKeDqh7Mr1SLyJ+GWR6iKGNPHpkpWbFW1S8CeB3AGwC6AaxT1S/klu9V1S+p6gsBlJMiKsqpqsg7PM+p9WDYBSCKqqhPLkThsBMK8r8BfAHACQCfBgAReReAX/hXLIqLKKeqIu/wPCeXiFilSxUAE4IsC1GcMGsLmRmyYq2qr4rIzaram7fs9yLS6W/RKC4YA5gOPM+JtQDAx5BNpZpPAFwcfHGI4oFZW8iM3SnNHxORq1T1FACISB2A/wTwbt9KRkREQXgRwDFV/XXxH0TktRDKEyt+53dn/vjoYk8embFbsX4cwCMicg2AGQCeRC4shIiI4ktVP1jibxycXoLfWSGYdSL62JNHxYbMYw0AqroSwH8hW8H+OYBPqOozfhaMiIjCISJXhl2GOPA7KwSzThDFT8kWaxG5I/9XAPUAfgegWUSaVfWbfhaOiIhC8SVkw/1cEZFxAH4AYDYABfBxAK8BWA1gJoBdAK5T1VjO8Oh3fvdS6585YfRAiEhdTRX6M8D+I+GEizBchei0oUJBzij6/WcWy4mIKDm8qhXdj2ya1mtEZASAagCfA/Csqn5NRO4CcBeAOz3aXqD8zgphtf6pY6sGQkRqq0fgpkvPwv3Pbg8lXIThKkSFRDW+0282NTVpa2tr2MXwlduWALYkxFeY547XjTMisklVm8Iuh1dE5GJV/a3LddQg28PZoHlfNLkBke9T1Y7cQPjnVfW8UuuK6r0+rBjr86acgT/7l/XoPZnBbe8/Fw/+pm1Q5Xvt0gWBxP22dfVg8fL1oW2fKEh27vVDhYKsBHC/qm41+dtoZKfBPaGqP3FVUjLl9qbNloT4CvPc8boho1ItIn+qqr8sczVnA+gC8K8iMg/AJgDLAExR1Y7cazoBTDF7s4i0IDvLL+rr68ssgr/8zgphtf6NbxwcqMiKYMhwFONBuft4H/ozwIGeE6irGYVZdWNRWWlrqJUlu+EwVg/rfIinpBkqFOQBAJ8XkTkAtiJ7k6wC0AhgLIAfAmCl2idWA1fOu30BRDDkjcjq/eebtCR4fXPr6+vHlre60Xm4F3VjqzDnzBqMGDGs7PWl7ebr5NwladsUOQ8iO7amHJUA5gO4XVU3isj9yIZ9DFBVFRHTblNVXQFgBZBtsS6zDL7zOyuE2fqLQ0RKhaMYD8o//M1OfHh+Pb74n9sGHpjvXTIbS+ZNc1W5thMOY/WwfvkFU/DMq/v4EE+JUrJiraq/A3CdiIwB0ASgDsBxAK+qKvOb+syqJeDVzsP49CObh7wROWlJ8LKFsq+vH49veQuff2LrwPq+dNVsLJl7ZlmV6zS2oPo9KCqq26bg+TjzYjuAdlXdmPv9UWQr1vtEpC4vFGS/i22kUv7EJI9taseyRY2DYqyNSUqMB+V/umYePvvo5oIH5rsf34rGyWMwb0atJ2WxmiTF6mF9dUszH+IpcWzlsVbVHgDP+1sUKmbVEvD6viO2bkR2B9a4bRkvtuWt7oFKtbG+zz+xFQ0TR6Np5njHx8FpC2oSWrfDnCqX0/Smji8zL6pqp4i8KSLn5RpiFgH4fe7fzQC+lvv/iXK3kVbFISJTx1bh8ndNRVfP4HAU40H5+IlTpg/Mnd29mDfDu7KYhcNYPax3dPMhnpLH7gQxFAKzloCvfmgOvv50YWeB1Y3I7nSrblvGi3VarG/f4V6nh6Bk+cz2OSmt22FOlctpelPHz5kXbwfwk1xGkDYAtyA7f8IaEbkVwG4A17ncRiqZhYicM3lwZdR4UK4eWWmeYaSm/Afm4kaMi2dOML3PWj2s19WMsvUQn4TGEkoPVqwjzKwloEKAQ8f6Cl5n1Zpod2CN25bxYnUW65sytrwbuJMW1KTEB4c5VS6n6U0XP2dezIUTmo2gX+RmvWSf8aD8w9/sxD1XzhoUYz2rrqas9TppxLB6WJ9VN3bIh/ikNJZQejhKtyci1ap6zMfyOBLVFEx+8uMmY7ZOo2W8o7uwlXlVyyVobphYcn1hxlhv2HkAN6zcOGgddsodFLa+JE+c0+2JiOgQXwR2XuOnNN7rvWTccw4f78OpgawgVZhVV1P2wEWnafaMMhQ/rFstL3c7RH5ynW4vb0V/iOzsWWMA1OdSJ/2Nqn7SfTHJCT9aE922jBerrKzA9NqRWHHju3Ho2EnUVg9H5TCUfQN3ss9Rjw9m6wtF0HMi8hiAJ1R1j7EwF75xGbJx0M8B+FE4xSO3jLCRcpk1Bjgd5GyVPcVsef72jp/sZxw2xYrdUJBvAfgAgCcBQFU3i4irLkIqnx/pnYrXmclo2XG2uw4excd/tMnTFga7+xz1+OCkhKpQolyB7FTjPxWRswG8g2xa1WEAngHwbVV9OcTyUYhKTVLjRyNG8faWLTo30o0lRMVsx1ir6psiBS1q/d4Xh6LCTct4mOnaoh4fzFR2FDWq2gvguwC+KyLDAUwEcFxV3wm3ZBQFVo0B65Yt8KURo3h7a1pLpxMkihq7Fes3c+EgmrvxLgPwqn/Foigot2U87HAMvydscCPsY0NUiqqeBNAx5AspFuyM5xjqNVaNAZ2Hex01YtgdW7LvcC9qq0fg6vnTYbTlPfVKBx665WIoNHKNJUTF7FasPwHgfgDTAOxFtnvwNr8KRfEW9XCMMPHYEFEQ7IznsPOaUo0BdhsxnIwtqaupwk2XnlXQQr1sUSOmjB2JmROj11hCVMxRVpCo4Ujx6BpqpHea8dgkT5yzgsQB7/XO2cmmYec1Xgy4dpLZY+f+HvzZvwx+7S9uX2Cap5soSF5mBTkb2UT/M/Pfo6p/4aaAlFxRDscIG48NRZWInAWgUVX/S0RGAahU1SNhl4ucp+k0C6l4bFP7wHgOY31DjfmoqBBcfsEUrG5pRkd370CavvxUeUaZ6mursefQsUFldDK2ZP8R89d29fSyYk2xYDcU5HEADwL4OYDMEK8lIqKYEZG/BtACYDyAcwBMB/B9cDKX0JXTamwVUjF1bNXA+l7rPDzkmI9MRvHMq/sGbfvyC6YULD9rwijcvtHHdlMAACAASURBVLARdz++dVAZJ59hHk4yaczgsSUch0JxZzexcK+qLlfV51T118Y/X0tGRERBug3AHwE4DACquh3A5FBLRACsM3PsOnjU8j39GQxUqo333P/sdvRnTq9vTWs7li5sRNXwbFXAbMyH1ba3dXQXLL9y7rSBSnVxGYdVAMsWFW5n2aJGDDOpgRjjUEqViSjK7LZY3y8i9yA7aPGEsVBVX/KlVAFK4yx4adxnIhrSCVXtM9KqikglgPgOwkmQoUIpzO7ppUIqVLM/d3T34scv7satlzVABFhw7kS8Z+Z4W1lBOroLl4vAsoyqwMMbsts5o2oYzhxXjV0HjmLfkROoH1/4/RP1lKlEQ7FbsZ4D4EYAC3E6FERzv8dWGmfBS+M+E5EtvxaRzwEYJSJ/CuCTyIb/UchKhUeUO4GL8beO7l488NwOVA2vwNUXTRv0PWAVxlFXM8p0udX2Dh3rw89easeNzWfhs49uLvn9w3EoFGd2Q0GuBdCgqn+squ/P/Su7Ui0ifyci20Rkq4j8VESqRORsEdkoIjtEZHVuOl1fldO9Fndp3GcisuVOAF0AXgHwNwDWArg71BIRgNLhEVb39GEVsHyPk3ALqzCOcdWVBev4+ea9uHfJ7JLbu7ZpOpb/aju/fyjR7LZYbwUwDsB+txsUkWkAlgJ4l6oeF5E1AD4CYDGAb6nqKhH5PoBbAXzP7fZKSeMseGncZyIqTUSGAdimqucDWBl2eahQqfCIcidwsRtu0dHdi6de6cA/XTMPx/tOoXpEJVa+sBMX1Y8btI762mrMr6+13F5xi7ZRVn7/UJLYrViPA/A/IvLfKIyxLjfdXiWy3Y0nAVQjO9PXQgAfzf39IQBfgM8V6ySNPrYbN52kfSbnGF9PZlS1X0ReE5F6Vd0TdnloMKvwiHIncLEbblFXU4UPzqkrCN8wsouYraPU9mZOGM3vH0o8u6Eg9wD4EICvAvhG3j/HVHUvgH8GsAfZCnU3gE0A3lHVU7mXtSM7y+MgItIiIq0i0trV1VVOEQYkZfSxEWO3ePl63LByIxYvX4912zqRyQwed5SUfSbnnFwnlEq1ALaJyLMi8qTxL+xCUWl+39NLZReJWlmJosD2zIsiMgXAe3K//lZVywoLEZFaAI8BuB7AOwAeAfAogC+o6rm518wA8JSqzi61Li9m40rCLHhOZrUCkrHP5JzT64TsS8LMiyLyx2bLo5BalTMvDpbf+1RXU4X+DNDVY35Pd9NTtWHnAdyxZvOgiWa+df08NDdMtFW+/G2eOpXBto7ugslmKivttvERhcvLmRevA/B1AM8DEAD/IiKfUdVHyyjXnwB4Q1W7cuv+GbK5U8eJSGWu1Xo6gL1lrNuxqI8+tnNDLBU3XV9bnXcTG4VZdWNRWVlR9j739fVjy1vd6Dzci7qxVZhzZg1GjBhW9r4AsLXMbcXf7rbtbieOIRWMr6dSVPXXXjWgkL+cZHdymwmq1EQzTstXPKkMs1JREtmNsf5HAO8xbrIiMgnAfyHb0uzUHgDNIlIN4Diys3q1AngOwDUAVgG4GcATZaw7UezeEK1i7CaOHonHN+8tmAnr3iWzsWTetLJaCPr6+vH4lrfw+SdOr+9LV83GkrlnDlm5ttqXEZWCT/37y0Muc3PjNdv2dz56EfpOaVk3+LimLGR8PZXicQMK+cgqE8j5Jr1PTl5rxioU5PJ3TXVcvtUtza7KQhQHdmtXFUUtFwcdvLeAqm5EtkL+ErJpnSoArEA21dMdIrIDwARkp1BPrExG0dbVgw07D6Ctq8c0ztXq5vTGgaMF762vrTaNW+s91T9oJqy7H9+KbR3dZZVny1vdA5VqY32ff2Irtrw1eH1292VLe7etZW7SMZlte0t7d9lpB+2el6jFLjO+kYZgNKDcrKo3AbgYwP8JuUxkolTvUz6jZ814bV1NFW57/7n4qwUN6Oo5Yesetf9IL2qrR+C295+LTy3M/qutHoGunl7L99idVMaq3ERxZrfFep2IPA3gp7nfrwfwVLkbVdV7kB0Qma8N2Rt54tlt8bS6Ob3aeRiffqQwwf7lF0zB2qLUSc/8vtM8DVN3L+bNcF6eTovy7Ds89E3Ral+K7+tWy9yEK5htO6PWs4QNtR0n5yVKrdic0YyG4FkDCvnLTu+TcV9/rfMwqoZXoLZ6BG5sPmsgj/QP1rfZukeVEwpiVT6rSWXYa0ZJYuumqaqfAfB/AczN/Vuhqp/1s2BJZneSFuPmlK9qeAVe33dk0Hv3HDqGhklj0NwwEQ2TxqCiQgZuYsXvn1pTeBOzW546i/JMKXGDHWpfiu/nVsvc3HjNtj1MYFoeO9txcl6iNvGBMaYg/zohylknIk+LyF+KyF8C+AVcNKCQf+z0Phn39TWt7Vi6sLHsyVnKyQpiVb5ZdWPZa0aJZ6tiLSJnA1irqneo6h3I3oBn+lmwJLPbjWd2c/rqh+bgkdb2Id8LALPqxg6aCeveJbMxq66mrPLMObMGX7qqcH1fumo25p5ZuD4zVjfaudNrbC1zc+M12/ac6TVl3+DdnheiKGIDSnwYvU9rly7AqpZLsHbpAlwxKxvzbISjGSEgHd29+PGLuzGtZpRpSMdQ96j9R8y/H0qFglRUCC6/YApWtzTj+x+bj9Utl+LyC6agsrKiaHkz/uS8ydh18GhkQ+iInLIbCvIIgD/M+70/t+w95i+nUuwOIjPruhcAh471FbyuangFJo0Z3NJaWVmBJfOmoXHyGHR292KqRWqjyWeYl6d4nSNGDMOSuWeiYeLogWwYc21mBbEKQwAwKITFbJmbltVS2y4nLMJsfRVifl7YxUlxkdeA8rPc76NEZKaq7gq3ZGSmOKNVcUjfskXnDtzXO7p7ceh4n+OQDqC8Qc+ZjJpm/yjOCnLWhFG4fWFjwQD7qIXQETllN36uUlUHag25n0f4U6TkczKIrLjrXgRYtqix4L3LFjVimMWZrKyswLwZtfjA7DrMm1Frmg1kWIX9dY4YMQxNM8fjz+aeiaaZ422n2jPbl4oKsb3MLa+3U/ze+vHxHRhoZ+AqpcIjAPKbJo0GFIqB4pC+Na3tBfd11fImeiln0LNVeOG2jsJB41fOnTZogH0UQ+iInLDbYt0lIn+hqk8CgIhcBeCAf8VKNjeDyDq6e/Hwht249bIGiGRvlg9v2I2L6sdh5sTyBvdZrfPCGeWvM23iOjAwrqkDyReDGlBEhA0oMVEc0mfc1x+65WIoFMf6+k1DOg4dO4G2Lljm5C/n3pZflrqaqoHJZTqKyihS/iByoqiyW7H+BICfiMh3kM1v+iaAm3wrVQqUOzHNlLFVOHSsDw88t2NgmduQg+oRlabrrHbQGk3Rn2zIjNsct5QobECJMbOQjUPH+jDpjJFomDQGbV09g/5+1oRR2PtOLz724G9LPlg7vbcZ4YXFmUjyw1MMzBJCSWM3K8hOVW0G8C4AF6jqH6rqjqHeFwdx6wb3IxdxX38/li4sDAVZurARJ4fqI8yJ2zGk0+wOXKVU+ASAz4nIHhF5E9m5Bf4m5DKRTUN9N5j9/ctXzcGdj23xPBTDCC8szkRSHJ7y8817Bw2wj0sIHZEVu1OajwTwYQAzAVSKZJ9kVfVLvpUsAHHsBvcj5GDC6JFY3bqnIBRkdeseXDHbemYtQxyPIZ3G2RjJoKo7kZ0Vd0zu956Qi0QODPXdkJ+po6O7F3U1o3D0xClboRjGRDNW4SLFjDCUv13UOCgkZPTIYXj44xfj7aN9qKsZhfMmjUHj5DG5MmUH2PO7g+LMbijIEwC6AWwCcMK/4gTLqhv8vNsXQMQ65ixsZt1yTm98+WZOGI07r7hgUOXYTqtBnEMJ3ByzpDBasco595QMIvLnALao6u7cojsAfFhEdgNYpqpvhFc6cqJUyIZZpo6VNzbZnmjGSeOJEbL45jvHC0JCVrfuwfVN9bjph79lVhBKLLsV6+mqeoWvJQlBXGfQK+ZFq/GISkHLexuQUaBCsr/bUSqUIMoVa7a0Z8V10CV56isAmgFARK4E8DEANwC4CMD3AXwgvKKRV8waQe5+4hXc9+G5A+EgpSaacdJ4Yjyw37fuVSxd2IjeU/1Y/qvtuPWyhoLQEKusIHFomCGyYrdi/f9EZI6qvuJraQJm1Q1uNoOe1x90L1tLnd74iretCnzq318edBzW2tjnuIYSxLml3WtxHHRJnlJVPZb7+WoAD6rqJgCbROSTIZaL8rj9zth3uBe11SMGMnQAwGOb2jFtXFXJeQPKaTwxwk6mjavCwaMncKo/+57iLCDMCkJJZLdifRmAvxSRN5ANBRFkb8ZzfStZAMy6wb/6oTn4+tOvFbzO6w+6162lTm58Ztv+52vmlX1zi2soQVxb2ol8ILm46mMAFgH4bt7fov2EnBJefGfU1VSZThAzccxIzJxo/WBtdwKx4vLmh50Y2UCM9zIrCCWZ3Yr1B30tRUjCmkHP69ZSJ63GZtvevv9I2Te3uIYSxLWlncgH3wbwOwCHAbyqqq0AICIXAegIs2CU5cV3Rn/GfIKYy99VepC6keGjuEJuNSmZWXmNbCCr/nsPli5sHAgHMbKCFMdYR71hhqiUkhVrERmf+/FIAGUJhdm0sH63wHrdWuqk1dhs22ta2/HVD83B5/7jlbL22U0ogVn3JgBby5xU3ou3U19b7eo8p3HgYxr3OQ1U9Yci8jSAyQA25/2pE8At4ZSK8tn9zjC7z+05dAz7Dvfi+EnzCWK6enpxzmTre3dHdy+eeqUD/3TNPBw/cQrVIyux8oWdBZOSFW/XarKab19/IUZWCi4++xIc7u3D2KoRyKhidUszjvX1875CiTBUi/UmAIps6EcxBdDgeYlCFkQLrNetpU7KbDWJwPz6cSXj7Pxg1r35nY9ehL5TOqjCO6JSBuLAnXaDWnWjXn7BlLL2OY0DH9O4z2miqnsB7C1axtbqiLDznVH8GS3OuGE1OctQ3zt1NVX44Jw6fPbRzQUt1lPHVplu1yrbyKFjfZgydiR+33EE9617Fdc31Q+0XBv3k0vOnsD7CcVeyQliVPVsVW3I/V/8L3GVaoPRAtvcMBENk8Y4bhkdarIUPyZ5sVtmq23Xjx9d9j6Xy6x7c0t7t2mX55b27rInMbDqRt1z6FhZ+2y1PreTKkRZGveZKCrsfGcUf0aLM24UT85i93vHKoTEmD+sVLaR4m31Z4A71vwOV86dVpAdhPcTShK7MdZkg91WvbDjkstNrec1s+7NjJqPEi9+PnESOuN16E0aBz6mcZ+JomKo7wwjFKNUxg0jHOOhWy6GQm1/7+w/Yv7ZN0JIzO4Nuw8eN802svGNg6bZQYx18n5CScCKtYecDDAJK8XZroNHy06t5zWz7s1hYj5KvPje7yR0xuvQmzQOfEzjPqdN3piafEdU9WTghaFBrL4zjAad1zoPD5lx49CxPkw6Y6Sje/1Qn32rv48fPXJQeY3XmpWN9xNKipKhIORMqVa9qIhSGc26N+dMr8E3ri1c9o1rL8Tc6TVlh854HXrjRyhP1KVxn1PoJQBdAF4HsD338y4ReUlE3h1qyciS0aCzprUdSxeeDvUwMm64/cwO9dl3cm8wXvvzzXsLysr7CSWJqA6OAR74o3kLxgBVfdvzEjnQ1NSkra2tYRahQFtXDxYvXx+J1mArUSuj0YVpdBfW11bj+e37saW9eyBUZe70GgwfJti0+52CZQvPm2I7fKZ4O25Db7xeXxykcZ/tEpFNqtoUdjncEJGVAB5V1adzv18O4MMA/hXA/ap6SVhli9q9Pko27DyAG1ZuBJAdaGhMALPg3Il4d30t9hw65voze+pUBts6utHR3Yu6mirMqqtBZeXpdjkn9wbjtW8fPYHhwyqYDYRixc69fqiK9RsokRUk7AGMUbvZxiFzQtTLaFXxb3lvA5Y/u6NgWZQeWCjdElKxfkVV5xQt26Kqc0Xkd6p6YVhli9q9Pkr8biyJ+ncGUZDs3OtLxlir6tneFinZwh6UaEfUy2gVquJm8CIR2dIhIncCWJX7/XoA+0RkGICM9dsoTH7Pfuv1hGZESWd78KKI1AJoRN4Ut6r6gh+FirOwBiU6EeUyWg2EcTN4kYhs+SiAewA8nvv9/8stGwbgurAKRaX53VjidUagUpPYeDUhGFGYbFWsReSvACwDMB3ZqW+bAWwAsNC/ohGQ/Nnu7M6IOKJSBirccR/oYne2ySSdZ4o+VT0A4HaLP++wWE4R4GdjiZcZgYaaxKbUJGEMPaG4sNtivQzAewC8qKrvF5HzAXzVv2IRkPzYNiczIgIIfGZIP1jts5uZJYm8ICJ/AODTAGYi77tBVdmAkmJehpoMNYmNMUnYihfaGHpCsWW3Yt2rqr0iAhEZqar/IyLn+VoySnxsm9X+GYNuivcxquErTljtc8t7GxJ7nik2HgHwfQA/ANAfclmoSGFmjlGYVTe2IDOHU3Z7QysqBJdfMAWrW5oLsoIM9dBvrP/g0RMYMawCff0ZvHPs5MB9rq6mCvW1o2xPEsYxNRQXdivW7SIyDtnYu1+KyCEAu/0rFgHJn+0u6ftnhoMzKcJOqer3wi4EDXbqVAaPb95bEDJx75LZWDJvWlmVaye9oZmM4plX9znqOTXWf9+6V3F9Uz1Wt+7B9U31OHGqH1XDK1BbPQI3Np+Ft7qP254kjGNqKC5sfSJV9UOq+o6qfgHA/wHwIIAlfhbMa5mMoq2rBxt2HkBbVw8yuZqM1fIoyJ+lypCkG0zS9w8YfH1NPsN8n9M4ODPKn72U+rmIfFJE6kRkvPEv7EIRsK2je1DIxN2Pb8W2ju6y1mfVc7br4FFXry1+z5Vzp2H5r7YP/G9MYnNt0/SC34snCeNkVBRndgcv1uf9+kbu/6kA9nheIh+UiuV1+iQeJL/TKIUt6ftndt1956MXJX5wph1JHz8QUzfn/v9M3jIFEOp8BQR0dJv3dHV292LeDOeD3J30Fu473Iva6hEDE88AwGOb2k1fa5Tj9X1H0HsyAxEU/N/R3Ysfv7gbf7uoseD3Wy9rGJjU5j0zs89yUU0JSzQUu6Egv8DpiWKqAJwN4DUAs3wql6esnrhXtzRHOoY56jmn3Ur6/pldd5/695exbtmCxA7OtCvp4wfiiPMWRFddzSjT8IipNVVlPaQ6yfRRV1OFmy49C/c/u31g/csWNWLq2MLX5pfjrxY0FLQ4jxpeMbC9ju5evPnO8YLfH3huB6qGV+Dqi6YNlDkJY2ooneyGgsxR1bm5/xsBXIxsur1YsHo6t2oF2H+kN8jilWSkUWpumIiGSWMSW9kqMQFobFldd52Hewed07ScZ0OpFjMKlogszP1/tdm/sMtHwKy6sbh3yeyCyuq9S2ZjVl1NWaEaRm+hnXCL/gwGKtXG+u9/djv6i6YMyi/HY5uyIR4/37wXSxc2YniFYNmi0yEfP9+8F/f8+SyGe1Ai2Z4gJp+qviQil3hdGL9YPZ1btQJMGpPs2NaoSHo4gJf5X5OGxyZS/hjArwD8ucnfFMDP3Kw8N3NjK4C9qnqliJyN7OyOEwBsAnCjqva52UYpSZgLoLKyAkvmTUPj5DHo7O7F1FxmjsrKirIGgTvpLdx/xHz9XT29OGfy6fXnl6Ojuxfrtnbg7y8/P1t5VuCeJ7cNhHyoAj/duBsP3XIxFDpo+16esyScf4oXuzHWd+T9WgFgPoC3fCmRD6xiecdVV2LZosZBXVzDys9gRA4kPRwgyBjyuH15OD02ZvuXyait9GNxOzZBU9V7cv/f4tMmlgF4FcDY3O/3AfiWqq4Ske8DuBWAL9lIkvTwXllZgXkzajFvRuHych9S7U4qY3f9+a+rq6nCFbPr8NlHN6P3ZAbLFp2LQ8f68MBzOwrWMemMkaZx2l6dsySdf4oPURt98CJyT96vpwDsAvCYqobab9vU1KStra22Xmt8ueY/nW984yDuWLN5YFCGKvCzl9rxzevm4dJzJvpcetqw8wBuWLlx0PJVLZeguSEZx9/suvP6hh7XLw+7x8Zs/75x7YXIaAafeXRLyfRjQR0bEdmkqk2erTBARQ0ng6jqN12sezqAhwB8BcAdyLaKdwGYqqqnRORSAF9Q1Q+UWo+Te32+tq4eLF6+flClcG1CHt4B/69xu+vPf92tlzXgwd+cnuTFLE7bqoxenrM0nH8Klp17va0Wa1X9ojdFCo/Z03n1iErTp+jqEcPCKGLqpCEcwM+phg1xbfm3e2zM9u/vHxk8qc7dj29F4+QxmDejtuR743BsAnZG7v/zkJ1h98nc738O4Lcu1/1tAJ/N28YEAO+o6qnc7+0Appm9UURaALQAQH19vdlLTOX3UBw/2Z/4XPl+DwK3u/781xlZQQwd3b14eIN16Ec+L+c3SNJcCex5iw+7oSCJnOq2r78fSxc2YvmvTj9FL13YiJPFozJg/6J2c/Gn7YOT9HR7gPezpZlJ0peHGSeT6nR09+KMqp6Bz1DSj40XjIYTEXkBwHxVPZL7/QvIZoQqi4hcCWC/qm4SkfeVUa4VAFYA2RZrO+8pbl1dtujcxD+8A/4/wNtdv/E6YPAkL4eO9ZmGfhTzssElKY03ce2VTCu7gxcTOdXthNEjsbp1T8GAitWte3DF7KkFryunK8zpxZ/GD07S0+15PVualaR8eVix2j+zSXVqRg0f6PqtGl6BlTc2JfrYeGwKgPxBhH25ZeX6IwB/ISKLkU3TOhbA/QDGiUhlrtV6OoC9LrZRoLiHYk1r+6BxNEl7eI8iN40mXja4JKXxhj1v8WI3xnqTqr47gPI4Um7cnaHUxDF7Dh0baPVSBf7sX4aO03ITz8VYsPgr7nE4cvwkrl/54qBzurqluSBcwYvtJvmhzG6M9Zevmo3V/70brbtPz0Z31oRRuONPz8Odj23x9djEOcbaICL/COA6AP+RW7QEwBpV/aoH634fgE/nsoI8guwYHWPw4hZV/W6p99u915uN26irqcK3r79wyBAE8pab8SVejk0JYpyL39IwHikuPIuxRm6qW2RvuCeMhar6tovyhc6sxbS+tnrQbIz/fM08W93Jbrqd2WUdb2aVv69bXDfGbGleSXrLv9X+ZTKK+vHVA+nHMqoFlWoA2H3wOKaNq0rV5DvlUtWviMg6AJflFt2iqi/7sKk7AawSkXsBvAzgQa9WbNa7YTcEgbzlJjzFy9CWIMa5+C3pvZJJY7di7elUtyIyDtmwktm59Xwc2ZkcVyMbx70LwHWqeqic9TtR/KFr6+oZ1OWyff8Rx+mGSr3ODD848WbWVScyOM7QmC3Na0n48ijFbP8qKqQg/VhbV4/p8R4/emSij43HfgegA7nvBhGpV9U9bleqqs8DeD73cxuyk4x5Lild/0T5eF3Hi92sIF5PdXs/gHWqeo2IjABQDeBzAJ5V1a+JyF0A7kK2ZSNQZi3Ha1rb8dUPzcHn/uOVkhe11cVfX1uNtq6ekoMS3bzXC1EfOBm18hWXx+y6WfHrnfjSVbPx+ScKY6xn1dWEVOpk45ePOyJyO4B7AOxDdiyNINvwMTfMcjmR9N4bSide1/FiK8YaAETkDzE4K8jDjjcoUoNsq0iD5m1cRF4D8D5V7RCROgDPq+p5pdblNsbajFWs87plC5BR2Mq5mx/PZRZaYhXj6ea9bkQ9Rjdq5TMrz8obm/DXP241vW66j58cNFsa+SOseMqExFjvAHCJqh4MuyzF/LjXExE5Zedeb3fw4o8BnINshdjICqKqurSMQl2IbAql3wOYh+yUtsuQne52XO41AuCQ8buVciaIsZMuz8tKXBwGNEZ94GTUymdWnrMmjELLe8/Bl//z9wWzeH5w9lTMnBj+MUyzIHo7ElKxfg7An+blmI4MVqyJKAq8HLzYBOBdard5u7RKZKdEv11VN4rI/ciGfQxQVRUR022VM2mAk8qy110ucRjQGPWBk1Ern1l5dh88jiO9JwtSNz68YTcuqh/HinWIotbbEXFtAJ4XkV+gcJB62TMvkntRC4OLKx5HCordivVWAFORHdTiVjuAdlU1csc8imzFep+I1OWFguw3e3M5kwY4zQHp5UCwOAxodLKdMG5OURvYaVWeY339g2bxjMoxTCvmf3VkT+7fiNw/ChkfDL3B40hBshvsORHA70XkaRF50vhXzgZVtRPAmyJixE8vQjYs5Emczj5yM4Anylm/mVItnn4zBlRVDc8e6nIS5ZfzXj/KaNycFi9fjxtWbsTi5euxblsnMsVT4HksqOPgtjxzp9dE9himVZif/bhR1S/mZmH8uvGzMSsjhcPqwXDXwaMhlyxeeBwpSHZbrL/g8XZvB/CTXEaQNgC3IFvJXyMitwLYjexEBZ4Is8XTTWhJUCOB7W4nrNa/qI2ItioPgCHzJbMFNVhR6+2IMhG5FNmc0mMA1IvIPAB/o6qfDLdk/rPqRQqzd8nYdpTC4KLC6XmxesB+++iJgb+z95C8Yjfd3q/zfxeRywDcAODX5u8Ycn2/QzZuu9iictY3FL/ScNn9cEclUb7b7YQZ6xy1PM1W5YnSMWTICVPwOfRtAB9AtvcQqrpZRN4bbpH8V2oG3iCyMpUq02udh/lgWKScsA6zB+yzJozC3nd68bEHf8vwEPKU3RZriMhFAD4K4FoAbwB4zK9Cec2PFs80xmyx9c+9oI5hGq9PM1Hr7Yg6VX0zm5RpQL/Va5PCqhdpdUtzaL1LRplqq0dg6cJGLP/Vdj4Y5pTT62f2gP3lq+agJS9FKnsPySslK9Yi8gfItkzfAOAAsjMjiqq+P4CyecrrFs80dumz9c+9oI5hGq9PK1Hr7YiwN3PzFaiIDEc2DeqrIZfJd1a9SB3d4fXQGWXq6O7Fj1/cPZBtaMG5E/GemeNT/WBYfL7qaqpw9fzpeH3fEQAwfXA2e8COWrYpSo6hWqz/B8B6AFeq6g4AEJG/871UMZDG4Z0gRAAAIABJREFUDyVb/9wL6him8fok1z6B7Ky40wC8BeBpALeFWqIAWPUi1dWMCq2HLr9MHd29eOC5HagaXoGrL5qW+vtt/rGpq6nCjc1nDWrRt0qlW/yAzR5Y8sNQWUGuRjbF3nMislJEFiE7zW3qGR/ufGn4UBo3p+aGiWiYNCb1N/lyBHEM03p9UvlU9YCq/i9VnaKqk1T1Y1GchdFrVll+ZtWNDS0bUdQyIUVJ/rG5ev70gUo14CzbB48x+cXuzIujAVyFbEjIQgAPA/gPVX3G3+KVFuZsXIxhpSjj9RmshMy82IBsi3UzAAWwAcDfqWpbqAWD//d6Y6BvcS+S1fIghLntqDOOzev7juAT//bSoL+varkEzQ0Tba+Hx5js8mxK86KV1iI7gPF6VfUli4ddYU9zyw8lRRmvz+AkpGL9IoAHAPw0t+gjyM6Qe0l4pcoK+15P0dTW1YPFy9cPCudYm8KxJBQML6c0H6Cqh5Cd+XBFuQWLI6vUZcUxW25SnKUxPZrdfQ7q2JhtB0DZZbT7Xj/YHbQXtXPgRhzKGGHVqvrjvN//TUQ+E1ppiIbAAfUURY4r1mlkt1vdTfd7GrvugziubsvznY9ehL5TWnYZR1QKPvXvL0f2nEbtHLgRhzJG3FMicheAVciGglwPYK2IjAcAVX07zMJFFR/mwpPkAfW8ruLLcShIlATVPWi3u8lNt1Qau7SCOK5uy7N00blY8UJb2WVseW8Dlj+7w9dyuxG1c+BGmGVMSCjIGyX+rKraEFhhikQ1FIQPc+QHXlfRZedeP1RWEELp1GXlvM7NNpIkiOPqtjwZhasyZoqeW6N2TqN2DtyIQxmjTFXPLvEvtEp1lFnli7eTlYLICq+reGPF2ga7qcvcpDhLY3q0II6r2/IME7gqY3HjQtTOadTOgRtxKGMUich7RGRq3u83icgTIrLcCAMhc/kPc3U1Vbjt/efirxY0oKvnBDLFT9VENrGRIN5YsbbBbr5LN3kx05hTM4jj6rY8c6bXuCrj3Ok1kT6nUTsHbsShjBH1fwH0AYCIvBfA15BNqdqNlA1Sd8p4mDMmKnnwN234zq924OYf/hbrtnWyck1lYSNBvDHG2ia7qcvcpDhLY3q0II6r2/IAKLuMdt8bpqidAzfCKmOcY6xFZLOqzsv9/ACALlX9Qu7336nqhWGWD4h+jPX/dB62NRaDyA7GWEeXL3msoySqN1siSpeYV6y3ArhQVU+JyP8AaFHVF4y/qerscEsY7Xt9JqN4/vX9+PiPBpfP7kQlRMXi0JCRRr7ksSYiokT5KYBfi8gBAMcBrAcAETkX2XAQKqGiQjBzwmhUDa8Y1GLNrnsql915CCh6GGNNRJRiqvoVAH8P4EcALtPT3ZgVAG4Pq1xxwvh+IjKwxZqIynbqVAbbOrrR0d2LuppRmFU3FpWVfF6PG1V90WTZ62GUJQqcTs6R5IlKooSTplAcsGJNRGU5dSqDxzfvxd2Pbx0YYHPvktlYMm8aK9cUW+UOHGPXvb84oI/igt9+RGXIZBRtXT3YsPMA2rp6UplWa1tH90ClGsjmWb378a3Y1hHPsFyeUwI4OUdU8bxQXLDFmsghtpxkdXSbT2LQ2d2LeTNCKlSZeE7JUGpyjjBaoxn+kBW180L+ifs1zxZrIofYcpJVVzPKdBKDqTXxy4TAc0qGKE3OYTzwLV6+Hjes3IjFy9enduKZKJ0X8k8SrvnUVKytunnZ/ZuV9OPg5f5xutmsWXVjce+S2QWZEO5dMhuz6mpsvT+oa87OdnhOyRClDB984DstSueF/JOEaz4VoSBW3byXXzAFz7y6L/Xdv0nvBvd6/4yWk7TnrK2srMCSedPQOHkMOrt7MbWmCrPqamwNXAzqmrO7HZ5TMkQpwwfDH06L0nnJF/ewhahJwjWfihZrqyegbR3dsX8y8kISnhBL8Xr/othyElaPQ2VlBebNqMUHZtdh3oxa29lA/Lrmio/DGwfsbSeK55TCY2T4aG6YiIZJY0KrKDH8oVBUzoshCWELUZOEaz4VLdZWT0BWg6/i9GTkhSQ8IZbi9f5FreUkjj0OflxzZsfhn6+ZZ2s7UTunRMDpB77izzYf+KLBqoHg/KULEvHdGYYkXPOpqFhbdfMag6/S3v2b9G5wP/YvSjlr43hz9+OcmB2H7fuP2N5OlM4ppVdxaMHlF0zBWj7wRUb++Tl+sj/RjVJhSEIjRypCQay6eWfVjY18928QXfxJ7wZP2v4VXxNxHHjnxzkxOw5rWtvx1Q/NsbWdpA/gpegzCy145tV9mDlhdGTCH9Ks+PxsfvOd2IctRFHUQn6cSkWLtdUTEACMqBS0vLcBGQUqJPt7VATVxZ+EJ8RSkrR/ZtfEyhubYtfj4Mc5MWsFP3SsD/Prxw3Z4hfHcBpKnjj2PqVJ8flZ09qOZYsacf+z22MbtkDeS0XFGjDv5m3r6sGn/v3lQRWStRG5iQV5k016N3hS9s/smrj7iVdw34fn4s7HtsTq5u71ObGKzasfP3pgW1ZYoaEoSPp4l7grPj8d3b14eMNuPHTLxVBorBttyDupqVibifpNLOrlo+CZXRO7Dx7HtHFVqY/DdNMKzs8aRUHSx7vEnVWv2KQzRvI+QQNSEWNtJeppXaJePvKO3fheq2ti/OiRsY5J84rd2Lzi4z35DH7WKHxJGw+SNDw/ZIeoxneATlNTk7a2tpb9/qjHVUa9fOQNJ+eZ14R7ZsfwOx+9CH2ntOzjKiKbVLUpgOKnktt7fZwYWSfS3PsUZVE5P5yYJhx27vWprlgD0fmQWIl6+ci9tq4eLF6+3nasP68Jd6yO97plC5BRlHVcWbH2V5oq1kRDYQNLeOzc61MdYw1Ef1CbH+Xjk657bo5h8XudxveGdc0m5bqxOt6dh3sHQkiIiKKKg62jLfUV67Thk657bo5hXNPlJem64QAxIoozq8aBt4+eGPh7nBs/4i7VgxfTyOpJd9fBo4NeywkzzLk5hm8csE6XF+UBMU72Oeo4AImI4sxsEPtZE0Zh7zu9BZMLrdvWye/tELDFOmXshh0kqYXSa26O4T9fMy+W6fKSlI4uSRMGEVH6mOXs//JVc9Dy41aGh0QAK9YpY7cbnDFc1twcw+37j5i+10iXF9Vjm7TwiaiPrSAi/8R9vIhZ40CSGj/ijqEgKWO3G7zUhzTt3BzDNa3t+OqH5sQuDIHhE0SUBEZPYtxDJopz9nPei+hgi3XK2O0GT1oLpZfcHMNDx/owv35cpMM+zDB8goiSIKm9sWbhIWz8CEdoFWsRGQagFcBeVb1SRM4GsArABACbANyoqn1hlS8q7HZZldO1VSqFOT+kpdkJJbA6htPHVWPPoWMlj38UMXyCiOIuqSETbPyIjjBbrJcBeBXA2Nzv9wH4lqquEpHvA7gVwPfCKlwU2B1A6MfMffyQumd2DOtrq/HMq/s4KJSIKARJ7o1l40c0hBJjLSLTAfwZgB/kfhcACwE8mnvJQwCWhFG2KLGb4sxJKjQnry2O4WLFz7niY7jn0LHEpK0jIoobjhchv4XVYv1tAJ8FcEbu9wkA3lHVU7nf2wFMM3ujiLQAaAGA+vp6n4vpjXJHINvtsnLStZXUbrAoMDvPAFzNskgUVyIyA8DDAKYAUAArVPV+ERkPYDWAmQB2AbhOVQ+FVU5Kl4oKweUXTMHqlmZ0dPeirmYUZtWNddxwFPfMIuSfwCvWInIlgP2quklE3uf0/aq6AsAKAGhqaop8lKqbfNB2u6ycdG1NPsP8tZPGxL8bLExm5/k7H70Ifac0drMsEnnkFIC/V9WXROQMAJtE5JcA/hLAs6r6NRG5C8BdAO4MsZyUIpmMug7H4zwPVEoYoSB/BOAvRGQXsoMVFwK4H8A4ETEq+tMB7A2hbJ5zM2Od3S4rJ11bwyqAZYsaC167bFEjhjHxoitm53lLe3csZ1mMIs4CGj+q2qGqL+V+PoLsmJppAK5CNtwPYNgfBcyLWWSTNBMteS/wFmtV/QcA/wAAuRbrT6vq/xKRRwBcg2xl+2YATwRdNj9Ydf3vOzx017/dAYROBhp2dPfi4Q27cetlDRDJZgZ5eMNuXFQ/DjMnMhShXGbnOaOI5SyLUcPWofgTkZkALgKwEcAUVe3I/akT2VARs/fELuyPos+LcDyG9FEpUcpjfSeAVSJyL4CXATwYcnk8UT2i0rTrv3rEMFvvtzvK1+7rpoytwqFjfXjguR0F5WEogjtm4TjDBLGcZTFqkpp3Ni1EZAyAxwD8raoezo5Vz1JVFRHT7oe4hf1RPHiRFSTJmUXIvVADAFT1eVW9Mvdzm6perKrnquq1qnoirHJ52e3c19+PpQsLQy+WLmzEyf7MEO/0R1AjotPWdW92XOdMr+Hocw9wFtD4EpHhyFaqf6KqP8st3icidbm/1wHYH1b5KH28+A5kZhEqJUot1pHgdbfzhNEjsbp1T0HoxerWPbhi9lQfSj+0IPJTp7Hr3uq4AmAucJfYOhRPuTSqDwJ4VVW/mfenJ5EN9/saEhT2R/HgxXcg53mgUkTjNv1bnqamJm1tbfV0nW1dPVi8fP2gL/G1ZXY7p7GS6fUxpHSLw2dIRDapalPY5YgSEbkMwHoArwAwbgafQzbOeg2AegC7kU2393apdflxryeidHKTKtHOvZ4t1kW8HpSQxidbDuwgL6XxM5QEqvobAFYnaVGQZSEiAoJpqGGStSJGt3M+t93OaZvB0I9jSOmWts8QERF5L4hUiaxYF+GgBPd4DImIrKVtcHfUJPX4J3W/vBTEYHiGghRht7N7PIZERObiMGYgyZJ6/JO6X14LYjA8W6xNJKnbOawn2DCPIZ/aiSiqOGtfuJJ6/JO6X14LokedLdYJlsYn2DTuMxHFBwd3h2vf4V7UVo/A1fOnw5ir6LFN7bE//lG9rtxk4PBDED3qqalYuz25Ubs47EjjjHVR22c/rps4XotElMW87OGqq6nCTZeehfuf3T7Q+LJsUSOmjo338Y/idRXVhi67M1WXvX5f1hoxxsldvHw9bli5EYuXr8e6bZ22QwTcvj8saZyxLkr77Md1E9drkYiyOLg7XP0ZDFSqgez3w/3PbkdIkyF7JorXVVrDU1LRYu22FTNqraB2RfEJ1m9R2mc/rpu4XotEURRG7w8Hd4dr/xHzxpeunl6cM7n8e6hf15Ld9UbxuopqeIrfUlGxdnty43pxGE+wxd0wSW4ZidI++3HdxPVaJIqaMLup/e6KJmt+NL74dS05XW/UrqsoNXQFKRWhIG4nLInrhCfGE+zapQuwquUSrF26IPTYJr9FaZ/9uG7iei0SRU1au6nTzo+QCb+upbhfo1EMTwlCKlqs3bZiRqkV1KmoPcEGISr77Md1E+drkSgqjO51L3p/nIQAcOBx+PwImXDak2j3Ooh7D2UUw1OCkIqKtduTm9aLg9zx47rhtUjkjtG9/lrnYdfd1E666qOaISGNvG58cRLy4OQ6SEIoRVQauoKUilAQwP2EJUmaNIaC48d1w2uRqHxG9/qa1nYsXdjoqpvaSVd93Lv1yZqTkAcn10FaQyniLhUt1l5gFx7RYPxcUNwY3esd3b1Yt7UD/3TNPBw/cQpnTxqN+TNqHV2/Trrq496tT+aMe2BdzUj8262X4EDPCdTVVGFWXY3r8A72UMYTK9Y2sAuPaDB+LiiOjO712uoRuGJ2HT776Oayr18nXfVJ6NanQsY98L51r+L6pnos/9V2z8M70hhKEXepCQVxw0nXTSajaOvqwYadB9DW1cOJOzzC4xo97NqmODK6169tmj5QEQLKu36ddNWzWz95jHvglXOn2b6WeB0kH1usbbDbdcMWPH/wuEYTu7Ypjozu9eJWQ8D59eukq57d+uHyI2zNuAeKgOEdNIAVaxvsdt2EOStemLGufm87yOMa15jhMMrNrm2Kq4oKwcwJoz25fp101bNbPxx+Nc7kzyvA8A4yMBTEBrtdN6Va8Pxk3DQWL1+PG1ZuxOLl67FuW2cg4RJBbDuo4xrmcXQjrHKzS5PijNdvevgVtmZcQz/fvNd1hhlKDrZY22C36yasFrwwW8qD2HZQxzXM4+hGWOVmlybFGa/f+HLaQ+dX2NrANTT1DLx99ARWtzTjWF9/rHo7yXusWNtkp+smrFnxwox1DWLbQR3XuMYMh1ludmlSnPH6jZ9ywjr8bJzhNUTFWLH2UFgtIGHGugax7aCOa1xjhuNabiIip8rpoQur0YvSiTHWHgtjVrwwYwWD2nYQxzWuMZdxLTcRkVNDjbkxS81qNM6sXboAq1ouwdqlCzzLKsVUsFSMLdYJEGasYJLiFOO6L3EtNxGRU6V66IYKE/E6ZIOpYMmMqMb36aqpqUlbW1vDLgYRpZyIbFLVprDLkVS815OhVGV218GjWLx8/aBK91qfBnK3dfUEuj0Kn517PVusUyiuuZrDwuNFRBQNFRWCyy+YgtUtzejo7kVdzSj8/+3df5AcZZ3H8fdnEyCEQAgkhDVkCWhUSCQkRAwHUvxQRI+SoJySoxRL6nJWqYClp6CUhVecJYeFBxyiiJ6Hxwny05wiP0RQvOKABBKSEAIoCSS1CYgxoOFXzPf+6GfC7GR2d3a3d3p69vOqmtqZntmd79PT+8zT3/4+3TM696CjQ02fyF3WCe82vDywHmF86GpgvL7MzFrHtm3Bnas21u2Tmz2R2xPHrR5PXixIURMehuNE+e08eWO4LixgZmYD11ef3OyJ3J44bvU4Y12AIrOgeR+6aveMrg/1mZm1jv765GZO5B4pE8ddDjkwzlgXoMgsaOXQVbWhHLpq94xu3uvLzMwGr78+udmnvC3iFLvNVEmefeCy+1jwvQf4wGX3cfvKDW11ZDpvHlgXoL/zcA6nvA9dFdmWZijyUF87l9iYmQ2Gyy+aq92TZ8PBpSAFKHLCQ96HrvbZvX5bJo1rj4xuUYf62r3ExsxsMHrrkyE7/Z3LFfLlcsiBc8a6AEXvced56GpUB5x9/PQebTn7+OmMaqMtq4hDfc4SmJnVV9snAy5XGCYuhxw4Z6wL0E4THro3v8I196/lzKMORIIIuOb+tczu2pNpE703O1jOEpiZNaa3RMTbfaGWIaskAmuPnrr0pnceWNfRjBmww3F51SJM3mMMm7a8xhX3PLV9mfdmh87nRzUbmtp+vGvCWJ7ZtMWlAm3IiYjh006JwGbxwLqGa1sHpmvCWC6cP5Pzb12xfX1dOH8mXRPGFh1aqTlLYDZ4tf34/nvvymePm96jn3K/3j6ciBhe7ZIIbJamD6wlTQWuASYDAVwVEZdK2gu4HpgGrAE+EhGbmh2fDykNzDObtnD5r57sUQpy+a+eZE7XBK+vIXCWwGzwavvxkw6Zsn1QDe7X240TEdZKishYbwU+HxEPS9odWCLpLuATwN0R8Q1J5wLnAl9qdnADOaTUaMlIO59cfeOLr7D2hZd7lIIAQ1pflikyS+DPysqsth+XGHKpgP8nWldHhzjhoMlcv3Ae3ZtfoXP8GA6avMeAPy9/xpaHpg+sI6Ib6E73X5K0CpgCnAwck172n8C9FDCwbvSQUqMlI+1eWpL3+rLi+bOysuutXxpsqYD/J1rbtm3Bnas2Dqn0x5+x5aXQk6JJmgbMBh4AJqdBN8AGslKRpmv0VHiNng6t6NOmDfdFRvJeX1a8oj+roWyzvqiOwY790v8sW8+F82cO+hSnRf9PWN8aLf3p6/PyZ2x5KWzyoqRxwE3AORHxovTGHmFEhKS634iSFgILAbq6unKPq9Ha1kZLRoqcrdysPfCdR4uFRx/ItoAOZY9redZ2eZR1m3XGySrq9eNdE8Yyp2vCoOYs5FUi6FKD4ZFH6Y+/oywvhQysJe1ENqi+NiJuTos3SuqMiG5JncBz9X43Iq4CrgKYO3fusKSjGqltbbQEosjZys2YiLnmhb/wmf9+ZIf23VbzHp61XR5l3WY98diq1evHBztnIY+SN8A7fsMkj9Iff0dZXppeCqIsNf19YFVEXFL11CLgjHT/DOCnzY5tIHorgeiaMLbHoeiuCWMLu8piX3vgzX6Poq82aY0r8rMayjbbjO3dRqY8St5cajB88ij98XeU5aWIjPWRwMeA5ZKWpmVfBr4B/ETSmcBa4CMFxNaw3g41Vk+gqPxjnnDQZG4r4LRpzdgD32f3+u8xaVzP9/Dp48qjyM9qKNusM07WqIGWZORRIhgx9DOTWH15lP74O8ryUsRZQX4L9LalHt/MWPISqSBl7R+31M1IVMoimt159nZuz0pWPY86v1EdcPbx07n07ie3v8fZx09nVJ1jIT7JfHkU9VkN5Xy0PpetNWKwtfh5lAh6x2/45FH64+8oy4OvvDhI9Trnb546q6UyEgPJqg+2zq978ytcc//aHheIueb+tczu2pNpE9052cAMJWvkjJM1Yjhr8fvbufOOn1n788B6kOp1zk8+91LLZSRq98B///yfc/1SmbzHGDZtea3HBWKKbrOV21CyRs44WX+G8+wP/e3cecfPrP0Veh7rVtXIuXDrdc4/WbyOr5/yjpae/JD3BC9P+DCzMqmUa1TLMxlQ2bmbd+BEDpw0rsfAua/nzKw9OGNdo9H6u3q1dJu2vEbn+DH9ntO5SHlP8PLhdzMrE9fim9lwUkR5r0w2d+7cWLx48ZD+Ru3s8Aj428vv22Hg+fPPvhuJ7a+rV6t80YcP4ZK7VrP2hZd7/G7tOZ2L5ItomOVP0pKImFt0HO0qj76+WqXfdzJgZNq6dRsruzfTvfkVOsfvyozOPRg92gfwrX+N9PUjOmM9kAmIqza8yBduWNbnafRe+MurPQbVld9tpdMpOcNsZiOda/FHrq1bt3HrsvXbL3k+ZqcOLpw/k/mzpnhwbbkY0VtRXxMQq43ZqYMnNr60w4S/ZzZt6VEvt/duuwxr7V5eXOdnZmYj0cruzdsH1ZB9n59/6wpWdm8uODJrFyN6YN3oBMSvn/IObli8rsfrfHVBM7PBkXSipNWSnpJ0btHx2MjRvbn+BP4Nm32FVsvHiC4F6W0C4pyuPXuUeHQoW16tXibaZRZmZn2TNAq4AngvsA54SNKiiHis2MhsJOgcv2vdCfz7jm+tI8tWXiM6Y91bhrlrr916lEp07dV4JtplFmZmfToceCoifh8RrwHXAScXHJONEDM69+DC+TN7fJ9fOH8mMzrHFxyZtYsRnbFuNMPsTLSZWW6mAM9WPV4HvKv2RZIWAgsBurq6mhOZtb3RozuYP2sK0/cZx4bNr7Dv+DHM6BzviYuWmxE9sIbGZ4d7FrmZWfNExFXAVZCdbq/gcKyNjB7dwaypE5g1tehIrB15F83MzJppPVA9pNkvLTMzKz0PrM3MrJkeAqZLOkDSzsBpwKKCYzIzy8WILwUxM7PmiYitkj4D3AGMAn4QESsLDsvMLBceWJuZWVNFxG3AbUXHYWaWN5eCmJmZmZnlwANrMzMzM7MceGBtZmZmZpYDD6zNzMzMzHLggbWZmZmZWQ48sDYzMzMzy4EiynulWEnPA2uH8S0mAn8Yxr/fTO3SlnZpB7gtrWowbdk/IiYNRzDmvr5GmWKFcsXrWIdPmeLtK9Z++/pSD6yHm6TFETG36Djy0C5taZd2gNvSqtqpLdaYMn3mZYoVyhWvYx0+ZYp3qLG6FMTMzMzMLAceWJuZmZmZ5cAD675dVXQAOWqXtrRLO8BtaVXt1BZrTJk+8zLFCuWK17EOnzLFO6RYXWNtZmZmZpYDZ6zNzMzMzHLggTUgaaqkeyQ9JmmlpLPT8r0k3SXpyfRzQtGx9kfSGEkPSlqW2vK1tPwASQ9IekrS9ZJ2LjrWRkkaJekRST9Lj0vZFklrJC2XtFTS4rSsdNsYgKQ9Jd0o6XFJqyQdUca2SHpb+jwqtxclnVPGtlj/ytjXl6n/K1O/IOlzaRtYIenH6buzZdatpB9Iek7SiqplddelMpeluB+VNKcFYr04bQePSrpF0p5Vz52XYl0t6X3NjLW3eKue+7ykkDQxPR7wuvXAOrMV+HxEHAzMAz4t6WDgXODuiJgO3J0et7pXgeMiYhZwKHCipHnARcC3IuItwCbgzAJjHKizgVVVj8vclmMj4tCqU/mUcRsDuBS4PSLeDswi+3xK15aIWJ0+j0OBw4AtwC2UsC3WkDL29WXq/0rRL0iaApwFzI2ImcAo4DRaa93+EDixZllv6/L9wPR0Wwhc2aQYK37IjrHeBcyMiEOAJ4DzANL/22nAjPQ735Y0qnmhAvXjRdJU4ATgmarFA1+3EeFbzQ34KfBeYDXQmZZ1AquLjm2A7RgLPAy8i+xk56PT8iOAO4qOr8E27EfWgRwH/AxQiduyBphYs6x02xgwHniaNEejzG2pif8E4H/boS2+NfyZt3RfX6b+r0z9AjAFeBbYCxid1u37Wm3dAtOAFf2tS+C7wIJ6rysq1prnTgGuTffPA86reu4O4Iii121adiPZDuH27+rBrFtnrGtImgbMBh4AJkdEd3pqAzC5oLAGJB06XAo8R7bX+DvgTxGxNb1kHVnHUgb/BnwR2JYe70152xLAnZKWSFqYlpVxGzsAeB74j3SI+mpJu1HOtlQ7Dfhxul/2tlg/StLXl6n/K02/EBHrgW+SZSa7gc3AElp33Vb0ti4rOwoVrRb7J4FfpPstGaukk4H1EbGs5qkBx+uBdRVJ44CbgHMi4sXq5yLbVSnFKVQi4q+RHdreDzgceHvBIQ2KpJOA5yJiSdGx5OSoiJhDdmjp05KOrn6yRNvYaGAOcGVEzAb+Qs3h3RK1BYBUS/lB4Iba58rWFutfGfr6EvZ/pekXUm3yyWQ7A28CdqNOaUAra5V12R9JXyErwbq26Fh6I2ks8GXgq3n8PQ+sE0k7kXW010bEzWnxRkmd6flOsgxwaUTEn4B7yA5p7SlpdHpqP2B9YYE17ki9SMCgAAAHLElEQVTgg5LWANeRHQ69lHK2pZIlISKeI6vjPZxybmPrgHUR8UB6fCPZF2oZ21LxfuDhiNiYHpe5LdaHEvX1Zev/ytQvvAd4OiKej4jXgZvJ1nerrtuK3tblemBq1etaInZJnwBOAk5POwLQmrG+mWwna1n6f9sPeFjSvgwiXg+syWZ9At8HVkXEJVVPLQLOSPfPIKvHa2mSJlVm30ralax+cBXZAPvU9LJStCUizouI/SJiGtlh+l9FxOmUsC2SdpO0e+U+WT3vCkq4jUXEBuBZSW9Li44HHqOEbamygDfKQKDcbbFelKmvL1v/V7J+4RlgnqSxaZuoxNqS67ZKb+tyEfDxdAaLecDmqpKRQkg6kayM6YMRsaXqqUXAaZJ2kXQA2aTAB4uIsSIilkfEPhExLf2/rQPmpG164Ou22QXjrXgDjiI7pPIosDTdPkBWz3Y38CTwS2CvomNtoC2HAI+ktqwAvpqWH0i28T5Fdrh7l6JjHWC7jgF+Vta2pJiXpdtK4Ctpeem2sRT3ocDitJ3dCkwocVt2A14AxlctK2VbfOv3sy5lX1+W/q9M/QLwNeDx9D35I2CXVlq3ZDv63cDrZAO9M3tbl2STWq8gm0+1nOxsJ0XH+hRZbXLl/+w7Va//Sop1NfD+Vli3Nc+v4Y3JiwNet77yopmZmZlZDlwKYmZmZmaWAw+szczMzMxy4IG1mZmZmVkOPLA2MzMzM8uBB9ZmZmZmZjnwwNranqT5kkJSKa9AaWZmZuXggbWNBAuA36afZmY2CEUmKSStkTSx0eWtQtJsSd9P9y+Q9IU+XntBzeNJkm4f5hAtZx5YW1uTNI7sohBnkl29DEkdkr4t6XFJd0m6TdKp6bnDJP1a0hJJd1QuH2tmZk5SDMKXgcv6eoGkgyX9GviUpIclLQCIiOeBbklHNiFOy4kH1tbuTgZuj4gngBckHQZ8CJgGHAx8DDgCQNJOwOXAqRFxGPAD4F+KCNrMrJXUS1Kk5cdIulfSjSlZcW26THglm/y1NFhcXsl012ZuJa2QNC3dvzUlNlZKWjiA+KZJWiXpe+l375S0a3ruLZJ+KWlZiuXN6RLVF6f3Xi7po1Xt+bWkn0r6vaRvSDpd0oPpdW9Or5sk6SZJD6XbDoNfSbsDh0TEsjrP/YOkX6QYLyD7vvkOcCTwUNVLbwVOb3Q9WPE8sLZ2twC4Lt2/Lj0+CrghIrZFxAbgnvT824CZwF2SlgLnA/s1OV4zs1ZUL0lRMRs4hyxZcSDZ4LDiDxExB7gS6LUMosonU2JjLnCWpL0HEON04IqImAH8CfhwWn5tWj4L+Buyy1l/iOwS7LOA9wAXVx2hnAV8CjiILPny1og4HLga+Gx6zaXAtyLinel9rq4Tz1yyS6b3IOkzwEnA/Ih4GXgNmAh0RMTLEfFU1csXA+8ewDqwgo0uOgCz4SJpL+A44B2SAhgFBHBLb78CrIyII5oUoplZWSwgG0zCG0mKJenxgxGxDiAlJaaRlYwA3Jx+LiEbzPbnLEmnpPtTyQbLLzQY49MRsbTq/aalrPGUiLgFICJeSXEeBfw4Iv4KbEylGO8EXgQeioju9LrfAXemv7kcODbdfw9wcErOA+whaVxE/Lkqnk7g+ZoYPw48Szaofj0t+xJwMXCipNnA+VVZ7ueANzXYfmsBzlhbOzsV+FFE7B8R0yJiKvA08Efgw6nWejJwTHr9amCSpO2lIZJmFBG4mVmrqEpSXC1pDfBPwEf0xqjy1aqX/5WeSbtX6yzfSs/xx5j0PseQDViPSNnlRyrPNaivOAai+u9sq3q8repvdgDzIuLQdJtSM6gGeJkd419OtuOx/WhoRKyPiL8H/h24ijd2Rki///Ig22EF8MDa2tkCdsxO3wTsC6wDHgP+C3gY2BwRr5ENxi+StAxYSnbY0MxsJOstSTHYEoU1wBwASXOAA9Ly8cCmiNiS6rHnDS1siIiXgHWS5qf320XSWOA+4KOSRkmaBBwNPDiAP30nb5SFIOnQOq9ZBbylZtkjwD8CiyS9Kf1uJYGzjSzTvlvV699KnXISa10uBbG2FRHH1ll2GWQTcSLiz6l+70GyLALpMOLRTQ3UzKy1LQAuqll2U1p+/SD+3k3AxyWtBB4AnkjLbyc7M8YqsiOI/ze4cHfwMeC7kv4ZeB34O7KkyxHAMrISwS9GxAY1firBs4ArJD1KNpb6DVld9nYR8bik8ZJ2TwP8yvLfpsmbP5f0XuAUSVcDU8h2Ys6q+jPHAj8feJOtKIqIomMwazpJ9wJ7AjsD/xoRPyw0IDMzazuSPge8FBH1JjfWvvaCiLigZtlvgJMjYtMwhWg5c8baRqSIOKboGMzMrO1dSZYhb8S91Q9SicolHlSXizPWZmZmZmY58ORFMzMzM7MceGBtZmZmZpYDD6zNzMzMzHLggbWZmZmZWQ48sDYzMzMzy8H/A/GJ44UEmshhAAAAAElFTkSuQmCC\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 \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
AgeAnnual Income (k$)Spending Score (1-100)
0191539
1211581
220166
3231677
4311740
\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":"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\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":"
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AgeAnnual Income (k$)Spending Score (1-100)cluster
01915394
12115813
2201664
32316773
43117404
...............
19535120792
19645126281
19732126742
19832137181
19930137832
\n

200 rows × 4 columns

\n
","text/plain":" Age Annual Income (k$) Spending Score (1-100) cluster\n0 19 15 39 4\n1 21 15 81 3\n2 20 16 6 4\n3 23 16 77 3\n4 31 17 40 4\n.. ... ... ... ...\n195 35 120 79 2\n196 45 126 28 1\n197 32 126 74 2\n198 32 137 18 1\n199 30 137 83 2\n\n[200 rows x 4 columns]"},"metadata":{},"execution_count":20}],"execution_count":null},{"cell_type":"markdown","source":"# Grafico 3D","metadata":{"id":"UdaXwDyz2CCW","cell_id":"24b3d13a1bf5449aac0d7e5ecec5e048","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"trace1 = go.Scatter3d(\n x= df['Age'],\n y= df['Spending Score (1-100)'],\n z= df['Annual Income (k$)'],\n mode='markers',\n marker=dict(\n color = df['cluster'], \n size= 10,\n line=dict(\n color= df['cluster'],\n width= 12\n ),\n opacity=0.8\n )\n)\n\ndata = [trace1]\nlayout = go.Layout(\n title= 'Clusters usando tecnica Agglomerative Clustering',\n scene = dict(\n xaxis = dict(title = 'Edad'),\n yaxis = dict(title = 'Spending Score'),\n zaxis = dict(title = 'Ingreso anual')\n )\n)\nfig = go.Figure(data=data, layout=layout)\npy.offline.iplot(fig)","metadata":{"id":"2eTA2StJ2Bc5","colab":{"height":542,"base_uri":"https://localhost:8080/"},"cell_id":"83653f09daad4a2ca5b62eaee234659e","outputId":"fa21c51c-44ee-4edb-c680-b54b01332f2c","deepnote_cell_type":"code"},"outputs":[{"output_type":"display_data","data":{"text/html":"\n\n\n
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\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
AgeAnnual Income (k$)Spending Score (1-100)cluster
01915394
12115813
2201664
32316773
43117404
\n
","text/plain":" Age Annual Income (k$) Spending Score (1-100) cluster\n0 19 15 39 4\n1 21 15 81 3\n2 20 16 6 4\n3 23 16 77 3\n4 31 17 40 4"},"metadata":{},"execution_count":22}],"execution_count":null},{"cell_type":"code","source":"X = df.iloc[:, [1,2]].values\nplt.scatter(X[y_hc==0, 0], X[y_hc==0, 1], s=100, c='red', label ='Cluster 1')\nplt.scatter(X[y_hc==1, 0], X[y_hc==1, 1], s=100, c='blue', label ='Cluster 2')\nplt.scatter(X[y_hc==2, 0], X[y_hc==2, 1], s=100, c='green', label ='Cluster 3')\nplt.scatter(X[y_hc==3, 0], X[y_hc==3, 1], s=100, c='purple', label ='Cluster 4')\nplt.scatter(X[y_hc==4, 0], X[y_hc==4, 1], s=100, c='orange', label ='Cluster 5')\nplt.title('Clusters de clientes (Hierarchical Clustering)')\nplt.xlabel('Annual Income(k$)')\nplt.ylabel('Spending Score(1-100)')\nplt.show()","metadata":{"id":"hMpGUwmoHbXj","colab":{"height":294,"base_uri":"https://localhost:8080/"},"cell_id":"f3b60e945ca249fdb484633ba685821a","outputId":"7b626601-e363-452c-c23d-5a96054af5df","deepnote_cell_type":"code"},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":"
"},"metadata":{"needs_background":"light"}}],"execution_count":null},{"cell_type":"code","source":"X = df.iloc[:, [0,1]].values\nplt.scatter(X[y_hc==0, 0], X[y_hc==0, 1], s=100, c='red', label ='Cluster 1')\nplt.scatter(X[y_hc==1, 0], X[y_hc==1, 1], s=100, c='blue', label ='Cluster 2')\nplt.scatter(X[y_hc==2, 0], X[y_hc==2, 1], s=100, c='green', label ='Cluster 3')\nplt.scatter(X[y_hc==3, 0], X[y_hc==3, 1], s=100, c='purple', label ='Cluster 4')\nplt.scatter(X[y_hc==4, 0], X[y_hc==4, 1], s=100, c='orange', label ='Cluster 5')\nplt.title('Clusters de clientes (Hierarchical Clustering)')\nplt.xlabel('Edad')\nplt.ylabel('Annual income')\nplt.show()","metadata":{"id":"tcfVNYQL2mda","colab":{"height":294,"base_uri":"https://localhost:8080/"},"cell_id":"0be66359241749778a1da42711cb464a","outputId":"63b26213-4262-476e-de5d-db482498ca69","deepnote_cell_type":"code"},"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYUAAAEWCAYAAACJ0YulAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO29e5wcVZnw/316pmeSYTKQcFHkYmAIiOCAJiBRvACumhDA9Q2uSgLs6s6GYVfEqMDuKxD31aC7MS9slCyO+xMTFSGLSkxGlwV8BQmwSYRRBEyGi4AogYGYEEjm8vz+ONWTnp6+VHVXdVV3P9/Ppz7dXX3q1Knrc85znouoKoZhGIYBkIq7AYZhGEZyMKFgGIZhjGFCwTAMwxjDhIJhGIYxhgkFwzAMYwwTCoZhGMYYJhSqgIhcLSKr425HJURxDCJyoYjck/V7p4gcGeY+wkZEWkXktyJycIBtVorIF6Jsl892TBcRFZHmAv//o4j0RrkPH9sn5lkJ634UkbNE5AdhtKkamFAICRH5uIhs9G6k50SkT0RODbH+ih62WkBV21X18UrrEZFvi8j/CaNNeegGfqGqzxXaV+61UtVFqvrPEbUnNFT1y6r6yaj3UyvPSlj3o6quBY4Tka5K66oGJhRCQEQ+A/xf4MvA64DDgW8A58TZrmzqWZhUmUXAqmrsqJxrlvTr3MDPyvdxHYrEY0KhQkRkX+CLwMWqequqvqKqQ6q6VlU/l6f8e0XkmZx1T4rI+7zvJ3u9qD+LyJ9E5GtesV94ny97PazZXvm/EZFHROQlEfmZiLwxq14VkYtFZAuwRRzLReR5r/5fi8jxBY7rCBH5fyKyQ0RuBw7I+f8UEblXRF4WkYdE5L1FztFhInKriGwTkRdFZEWBcioiR3nfW0XkX0Xk9955WCkik7PPoYgs9o7lORH5a++/buA84PPeeVrrrX+DiPyn14YnRORTWfstdM5z23c4cCRwf6FjLbDduNGEiMwTkQe9c3dvdg/SuxcuE5F+4BURaRaRy0VkwLsWvxWRv8wqf6GI/NK7ri8CV4vIZBFZJiJPich2Ebknc+48zvPO6wsi8k9ZdY1T3YjIqVnX+GkRudBbf6aI/Mo7X0+LyNU+z0PNPCtZ6zL347dF5Osiss67DveLSGfW9u8Xkce88/0N79nJHnX9HDjTz3mKHVW1pYIF+CAwDDQXKXM1sNr7/l7gmZz/nwTe533fACz0vrcDp3jfpwOavR9c72orcCzQDPxv4N6s/xW4HZgGTAY+AGwC9gPE2+7gAm3eAHwNaAXeDezIOoZDgBeBubiOxV94vw/MU08T8BCwHNgHmASc6v13IXBPTnuP8r4vB27z2j4FWAsszTqHw7gXTNprxy5gqvf/t4H/k1VvyjvuK4EW3Iv9ceADxc55nmM5E3g4Z924feW7VtllgLcCzwNv987NBd71b826Fx4EDgMme+vOBd7gHcdfAa9krpt3DoeBf/DugcnA13EvoUO8fbzDu46Zdn3TK3cCsBs4Ns99+kbvmn/MO8f7Aydmnf+3eO3pAv4EfKjQfVqLz0qe+/HbuHv8ZG/77wI3ef8dAPwZ+LD33yXAEPDJrPqnefV1xP3OKrXYSKFy9gdeUNXhkOobAo4SkQNUdaeq3lek7CLci/IRb/9fBk7M7gF5/w+q6qte3VOANwHibfdcbqVej/gk4AuqultVf4F7KWdYAKxX1fWqOqqqtwMbcS/nXE7GvdA+p65n+Jqq3pOnXPb+BTfUvtRr+w7v2D6aVWwI+KK6nuZ6YCdwTIEqT8IJrC+q6h51euJvZtXn95zvh3tR5vJZrzf9soi8DPQXObxu4N9V9X5VHVHVG3Ev5lOyylynqk971wxVvUVV/+Cd6x/gerInZ5X/g6r+m3cP7Ab+BrhEVZ/19nGvqu7OKr9EVV9V1YdwAvuEPO38OPDfqvp97xy/qKoPeu35uar+2mtPP0418p4ix5yhlp6VfPxQVR/wtv8ucKK3fi6us3Cr9991wB9zts3cN/sFOL5YMKFQOS8CB0h4eshPAEcDj4rI/4jIvCJl3whcm/UyGsSNAA7JKvN05ouq3gmswPUknxeRG0SkI0+9bwBeUtVXstY9lbPfc3NehKcC+SxyDgOeCvgiOBBoAzZl1f9Tb32GF3Pq3IXrLebjjcAbctr7jzidNvg/5y/hhGou/6qq+2UWXO+5EG8EFue05TDcOc/wdPYGInJ+lrrpZeB4xqvzsssfgBuNDRRpQ/YLq9B5O6xQHSLydhG5y1PFbce9cA/IVzaHmnlWClDovL2B8c+ZAuPUXuy9b14usY/YMaFQORtwvbMP+Sz/Cu6FB4CINJH1slPVLar6MeAg4CvAGhHZBzf0zOVp4O+yX0iqOllV780qM247Vb1OVWcCb8Y9UBN0ucBzwFRvvxkOz9nvqpz97qOq1xRo4+EBXwQvAK8Cx2XVv6+qFnrp55J7rp4Gnshp7xRVnQtFz3ku/cARFb7Unga+lNOWNlX9fr72ez3ZbwJ/D+zvCZ3f4F5o+Y73BeA1oJPKeLpIHd/DqfYOU9V9gZU57SlETT0rAXgOODSrnZL92+NY4ElV/XOZ+6gaJhQqRFW343TVXxeRD4lIm4ikRWSOiHw1zya/AyZ5k3VpnG6zNfOniCwQkQNVdZS9vYpRYJv3mW03vRK4QkSO87bdV0TOLdRWETnJ6+WlcQ/ca16ducf0FE4dtEREWsSZC56VVWQ1cJaIfEBEmkRkkjcpmPsgADyAe2iuEZF9vLLvLNRGb/+juBfhchE5yGv7ISLygWLbZfEnxp+nB4Ad4iZwJ3ttPl5ETvLqLnTOc9v1DE4vfXLufwH4JrDIuw7inZMzRSTfCATcPIzirj/iJtTzGgd4bRwF/gP4mrjJ9SYRmS0irYW2KcB3gfeJyEfETXbvLyIZdckUYFBVXxORk3GqppLU0rMSkHXAW7xjagYuBl6fU+Y9QF9I+4sUEwohoKrLgM/gbtptuF7J3wM/ylN2O9AD9ALP4l7O2UPNDwIPi8hO4Frgo57+dxfwJeCX3hD4FFX9Ia6HdJOI/BnXg5xTpKkduJfSSzh10IvAvxQo+3HcZOggcBXwnaxjeBo3cfePWcf7OfLcT6o6ghMoRwG/9471r4q0McNluBfwfd6x/TeF5wxy+RbwZu88/chrwzycDvgJXG+6F9jXK5/3nBeo+9+BhT7bMQFV3Qj8LU6N9xLuGC8sUv63wDJcL/tPuAneX5bYzWeBXwP/g7t+XyHgs66qv8fpyhd7dTzI3rmHHuCLIrID95K/OUC9tfKs+EZVX8AZA3wV90y9Gdepyp7H+Rju3kk84tRfhmH4wetx/wo4Q/NM0huGiKRwwus8Vb1LRM7CWUl9JOam+cKEgmEYRoV4qs37cXNhn8OpkI4sMuJMLKY+MgzDqJzZOGutF3Dq0g/VokAAGykYhmEYWdhIwTAMwxgj0cGzSnHAAQfo9OnT426GYRhGTbFp06YXVPXAfP/VtFCYPn06GzdujLsZhmEYNYWIPFXov8jURyLyH+IiWP4mz3+LxUUgPMD7LSJynYhsFZF+EXlbVO0yDMMwChPlnMK3cc4l4xCRw4D34xyZMswBZnhLN3B9hO0yDMMwChCZUFAXWXMwz1/Lgc8zPs7IOcB31HEfsJ8ESHdoGIZhhENVrY9E5BzgWS9kbzaHMD5C4TOMj16YXUe3uMQaG7dt2xZRSxuPgcEBetb10LG0g9SSFB1LO+hZ18PA4MRAmQMD0NMDHR2QSrnPnh633jCM2qZqQkFE2nCxcq6spB5VvUFVZ6nqrAMPzDt5bgSkb0sfXSu76N3cy449O1CUHXt20Lu5l66VXfRt2RvHq68Purqgtxd27ABV99nb69b31UTIL8MwClHNkUIncATwkIg8iQstu1lEXo8LdnVYVtlDvXVGxAwMDjD/lvnsGtrF0OjQuP+GRofYNbSL+bfMZ2BwgIEBmD8fdu2CofFFGRpy6+fPtxGDYdQyVRMKXqamg1R1uqpOx6mI3qaqf8TFZj/fs0I6Bdhuwcaqw7INyxgaGSpaZmhkiOX3LWfZsonCYELZIVi+PMQGGoZRVaI0Sf0+LtzvMeKSrH+iSPH1uJy5W3GhnXuiapcxntX9qyeMEHIZGh1iVf8qVq/2JxRWrQqxgYZhVJXInNe8jEjF/p+e9V1xUQWNKrNzz07f5dRfUXb6LGcYRvKw2EcNTnuLvwyX7S3ttPtMhum3nGEYycOEQoOzoGsB6VS6aJl0Ks3CroUsWADp4kVJp2Fh2XnJDMOIGxMKDc7i2YtJN5UQCk1pLj3lUhYv9icULr00xAYahlFVTCg0OJ3TOllz7hra0m0TRgzpVJq2dBtrzl1D57ROOjthzRpoa5soHNJpt37NGujsrOIBGIYRKiYUDObMmEP/on66Z3bT0dpBSlJ0tHbQPbOb/kX9zJmxN7/5nDnQ3w/d3eM9mru73fo5oaRCNwwjLmo689qsWbPUQmcbhmEEQ0Q2qeqsfP/ZSMEwDMMYw4SCYRiGMYYJBcMwDGMMEwqGYRjGGCYUDMMwjDFMKBiGYRhjmFAwAhMkS5thmeqM2sL8FIxA9G3pY/4t8xkaGRoXcjudSpNuSrPm3DXjnN0anb4+l3hoaGh82PF02i1r1pjDn1F9zE/BCIUgWdoMLFOdUZOYUDB8EyRLm4FlqjNqEhMKhm+CZGkzsEx1Rk1iQsHwTZAsbYb/DHSWqc5IEiYUDN8EydJm+M9AZ5nqjCRhQsHwTZAsbQaWqc6oSUwoGL4JkqXNwDLVGTWJCQXDN0GytBlYpjqjJjGhYAQiSJa2UjSCZ3Q5merMA9qIE/NoNmLBPKPzYx7QRjWIxaNZRP5DRJ4Xkd9krfsXEXlURPpF5Icisl/Wf1eIyFYReUxEPhBVu4z4Mc/o/JgHtJEEolQffRv4YM6624HjVbUL+B1wBYCIvBn4KHCct803RKQpwrYZMWKe0fkxD2gjCUQmFFT1F8Bgzrr/UtVh7+d9wKHe93OAm1R1t6o+AWwFTo6qbUa8mGd0fswD2kgCcU40/w3Q530/BHg6679nvHUTEJFuEdkoIhu3bdsWcRONKDDP6PyYB7SRBGIRCiLyT8Aw8N2g26rqDao6S1VnHXjggeE3zogc84zOj3lAG0mg6kJBRC4E5gHn6V7Tp2eBw7KKHeqtM+oQ84zOj3lAG0mgqkJBRD4IfB44W1V3Zf11G/BREWkVkSOAGcAD1WybUT3MMzo/5gFtJIEoTVK/D2wAjhGRZ0TkE8AKYApwu4g8KCIrAVT1YeBm4LfAT4GLVXUkqrYZ8WKe0fkxD2gjCZjzmhEbA4MDLL9vOav6V7Fzz07aW9pZ2LWQS0+5tOEEQjYDA87sdNUqN6nc3u5URpdeagLBCIdizmsmFIzQGBhwtvarV+99mS1Y4NQiUb3MBgYHWLZhGav7V48JlgVdC1g8e3FDCxbDKIYJBSNy4gjPYKEyDKM8YglzYTQOcYRnsFAZhhENJhSMiokjPIOFyjCMaDChYFRMHOEZLFSGYUSDCQWjYuIIz2ChMgwjGkwoGBUTR3gGC5VhGNFgQsGomDjCM1ioDMOIBhMKRsXEEZ7BQmUYRjSYUDAqJo7wDBYqwzCiwYSCEQrlJKiveJ8z5tC/qJ/umd10tHaQkhQdrR10z+ymf1G/Oa4ZRhmYR7NhGEaDYR7NhmEYhi9MKBiGYRhjmFAwDMMwxjChYBiGYYxhQsEIzMDgAD3reuhY2kFqSYqOpR30rOspGJF0YAB6esZbJfX0FI6aGrT+UI4pYBsNo14x6yMjEEFzGATNsxBHjoQ4ckEYRpxYkh0jFAYGB+ha2cWuoV0Fy7Sl2+hf1E/ntE4GBqCry+VTKFi+zfkxdHYGrz8MgrbRMOoBM0k1QiFoDoOgeRbiyJEQRy4Iw0gyJhTqlCj08kFzGATNsxBHjoQ4ckHUAzYHU7+YUKhD+rb00bWyi97NvezYswNF2bFnB72be+la2UXflr6y6g2awyBonoU4ciTEkQui1unrcyq33l7YsQNU3Wdvr1vfV97tZSQEEwp1RpS5i4PmMAiaZyGOHAlx5IKoZeLIx21Ul8iEgoj8h4g8LyK/yVo3TURuF5Et3udUb72IyHUislVE+kXkbVG1q94pVy/vR90UNIdB0DwLceRIiCMXRC1jczD1T2TWRyLybmAn8B1VPd5b91VgUFWvEZHLgamqepmIzAX+AZgLvB24VlXfXmofZn00kY6lHezYs8NXWUFob2nnXW98F3c9cRfDo8NFzUDr1frouONg9+7CZVpb4eGHw7c+GhhwL9nVq516qr3dCanFi5Nr6dTR4VRFfspt3x59e4zyiMX6SFV/AQzmrD4HuNH7fiPwoaz131HHfcB+InJwVG2rZ4Lo2zNzDeu3rOfV4VdLqpuC5jAImmehkXIk1Kpe3uZg6p9qzym8TlWf877/EXid9/0Q4Omscs946yYgIt0islFENm7bti26ltYoUeQkzlY3zZkxh7UfW8vR+x89rszR+x/N2o+tneBYFjTPQrEcCWvn9rN2+ZxQLV6WLYPR0eJlRkfDVYfUsl7e5mDqn0id10RkOvCTLPXRy6q6X9b/L6nqVBH5CXCNqt7jrb8DuExVi+qGTH00kZ51PfRu7i1p2hmUjtYOtl++PRaPY4jO6zgOdUhPjxsRFNPNp9NOcK5YEc4+w6KW227sJUnOa3/KqIW8z+e99c8Ch2WVO9RbZwTET+7icti5Z2eklk3FiLJnHYc6pJZ9I+LIx21UF99CQUTaQtjfbcAF3vcLgB9nrT/fs0I6BdiepWYyAlBML18J7S3tsXgcQ7QWL3GoQ2pZLx9HPm6jupQUCiLyDhH5LfCo9/sEEfmGj+2+D2wAjhGRZ0TkE8A1wF+IyBbgfd5vgPXA48BW4JtATzkHYzjy6eUrIWMGGofHMUTbs47DJLXW9fJx5OM2qkfJOQURuR+YD9ymqm/11v0mM08QJzan4J9K5hoyZqAz/m0GSuk5qJSkGLlypJxm5q8v5axz/JQbCbjbOALimV7eiJuK5xRU9emcVeE98UZVKGeuIdcMNA6PY4i2Zx2HOsT08kaS8SMUnhaRdwAqImkR+SzwSMTtMkKmlA/ApOZJzJsxb4IZaP+i/jFrorA9jv0G7YtaxVNtdYjp5cvDgvBVBz/qowOAa3FzAAL8F3CJqr4YffOKY+qj4AwMDrD8vuWs6l/Fzj07aW9pZ2HXQi495dKSTmFhehwHMW2t15wHAwNucnzVqr0ezQsXuhFCLR1HNbBESOFiSXaM0AjDT6Ec4WIvhcalXjsFcVLRnIKIHCEiXxORW0XktswSfjONWqCYx3G2qqkY5Zi2msVL42JB+KqLH/XRQ8C3gF8DYwEBVPX/Rdu00thIoTbxG7Qv40VtNDYWhC98io0Umn1s/5qqXhdym4wGJo5kOkbtUsvOfrWIH6FwrYhchZtgHgswrKqbI2uVUde0t7T7GilEEdzPqD3a2/2NFJLq7Fdr+DFJfQvwtzjv42Xe8q9RNsqob+JIpmPULpYIqbr4EQrnAkeq6ntU9TRvOT3qhhn+8GvrX616/ODHkS7dlObSU8x7q1okzQcguz3XX196otmc/cLDz0Tzj4BuVX2+aMEYaPSJ5mLmoc2pZk474jTufuruMX+EBV0LWDx78QQfgqBmpgODAyzbsIzV/atL1l1O24VmWp45jZ3T7obWnbC7nanPLOC6jy5mwZmV2RzWYrazqEmauW+h9uTDTJLLoyI/BRH5OdAF/A/j5xTODrGNZdHIQsGPrX8ueR3DAvoMhJlPIZ8j3et3v5vf7flvaBqBpqw3wkgaRtIsaFnDqqvKe/qT9vJLAknzAfDTHgARmDLFnP3KpdLYR1cBfwl8mb1zCsvCa55RDn5s/XPJl/MgiM+An3wKZ990Nu1fbvelguqc1smKuSvYfvl2Rq4c4etv2czv9twJLa+NFwjgfrfsYvWe+axeF1ynUW5OhqSpVcImaT4AftqTTrtrsH27CxhoAiFcSgoFzx/hUWCKtzySBB+FRsdPGOtCZDuGBQmH7UeADI8O88rQK2P5n3s399K1sou+LaWTDn/qpmUThUEuTUNcclPwN1Q5L79azaOcwY9AS1rCn6S1pxHxoz76CPAvwM9xsY/eBXxOVddE3roSNLL6KLUk5SuMdSEyjmF+60lJin3S+/gyJc2Hn5hIckUHTPJR/2sd6NJgXkpBHaCSplYJil9VWZRhycshae2pVypVH/0TcJKqXqCq5wMnA18Is4FGcCq14c84hgUJh12JM5mvjGytPutvDS6YgjpAJU2tEoQgqrKkJfxJWnsaET9CIZVjefSiz+2MCPFj61+MjDAI4jNQiSDylZFtxI8vJW7SOSBBXza1rMYIItCS5gOQtPY0In5e7j8VkZ+JyIUiciGwDki4NrX+KSdpToZsx7AgPgOVCqKSIw3xWZEEV5sFfdnUcmiFIAItaQl/ktaeRsTPRPPngH/HmaV2ATeo6uejbphRnGJJc0qR7RhWKvlOdua1SgQR+FBVlZpkHis3HHjfQV82tazGCCLQkpbwJ2ntaUR8hc4G1qvqZ1T1M7iRw/SoG2aUplAY63kz5jGpeVLJl3ypenLDYVckiHyErZjSMsVXXR2t/splE/RlU8tqjKACLWlhyZPWnkbDj/XRRuAdqrrH+90C/FJVT6pC+4oSlvVRPXq5VpJhLbeeXO/ls44+CxFh7e/WsnPPTtrSbbw69CojWtgcxI/1Uc+6Hno39xY1kU2n0nTP7GbF3PIy2vvNdlbL1kc9Pc5stpgKKZ12L9kV5Z1Go8ap1KP5QVU9MWfdQ6p6QohtLIswhIJ5uRYmiPdyXBnZoqRW741aFmhGdajUJHWbiIyFtBCRc4AXwmpcnJTr5doI+PFezvaMDiMjW5D5jWpQq2oM08sbleBnpNAJfBd4A84+5GngfFXdWvZORS4FPgkoLqPbXwMHAzcB+wObgIUZlVUhKh0pNOIw228wu2qocoq1MQzVV6PjV1VWrbbUm4q2lqlIfZRVSTuAqlZkhCcihwD3AG9W1VdF5GZgPTAXuFVVbxKRlcBDqnp9sboqFQqNluYviIrHUmYaYVGrarh6piL1kYi0isjHgU8BnxGRK0Xkygrb1AxMFpFmoA14DjgdyITOuBH4UIX7KEkt26Jn8JsHwY866MzvnYksEWSJ+A5n4cfLefW6AaYt7EGu6ECuTiFXdDBtYU/gwHb5Yvmc9w8DLPjexOO/84k7I80PUSiu0J13Vh5Ar56C8JmKtvbwoz76KbAdp9IZMy9R1bIjpYrIJcCXgFdxaT4vAe5T1aO8/w8D+lT1+GL11ONIIcgwO0g+heZUM8OjwxXFSyrElJYpBfMpLFzSx+o9850PQgWhsPP2No/qg49MrLtJmhjRkbHPDOWE9/bdFqCpycXjyXyO7TdAj7hYr7q5GU47De6+u3ZUMI2ooq0FKrU++k2pl3PAxkwF/hP4K+Bl4BbcCOFqP0JBRLqBboDDDz985lNPPVV2W5J2wwYZZpeTTyFK8r1wV68bYOG9XdBSpI172lj1jv6iyXPyWtNMHYCLStRdgEosmPzG+8+73xIWP+XUnXQVTBI7Xkbl1kf3ishbQmzP+4AnVHWbqg4BtwLvBPbz1EkAhwLP5ttYVW9Q1VmqOuvAAw+sqCFJcqkPOswuJ59ClOSzSAorFHbeWD6zfdRdqK1+gvMFaYvf/ZYIoFdO3UlXwdSDirbR8CMUTgU2ichjItIvIr8Wkf4K9vl74BQRaRMRAc4AfgvcBcz3ylwA/LiCffgiSaZ7QaNyVpJPIUp2D+8ee+G+dOhqX0Jh8NDiUeXyxvLp8lF3AXwF5wvSFr/7LRFAr9K6kxixtZbDhTQqfoTCHGAG8H7gLGCe91kWqno/Tl20GWeOmgJuAC7DTWRvxZmlfqvcfQQhKbboQaNyVhLGOkpGdIQbH7rR/fAbCruleLm8vUi/dReqs8zzV2mPttj2ldSd1IitfsKFiMCrr9b+pHq9UFAoiEiH93VHgaVsVPUqVX2Tqh6vqgtVdbeqPq6qJ6vqUap6rqruLl1TeIyOuuQemWV0tJp7Dz7MrjSfQpSMvXB3+2yjjBa1EMrbi/RbdwHKPX+V9miLbV9p3UlUwfhR0ao6oVZrme3qlWIjhe95n5uAjd7npqzfdUFSUi4GHWZXGsY6KMcfFNzWYOozC0rnPlBAKJq+M29vs99H3QXwE5yvEH56vgX3WyKAXiV1QzJVMMVUtIVI+jxJvVNQKKjqPO/zCFU90vvMLEdWr4nR4Wdy9+yz3cMW9dA2aFTOisJYq7cE4NoPXht4N9d9dHHpF3dODoV8E9Z5e5sbfNRdgOzQ4UHx0/MtuN8SRguV1p3EiK2QX0WbTju1UTGSOk9S7zR0BjU/k7vDw/DKK9GPIIJaQhUNY+3nhZ/1QKZK3AZL3ruE04843Uel41lwZicLWtbAnraJL/ASbcy2EMrb23ypE27OX3eTNI37zBBG/KRiPd9UiafpssuKGy2U06vOkPTEM52dzqx7+3bnwzFpUulczEmdJ6l3GloolGPtEdXQduyFMHmUtIxPIpOWYdomj06whMobhG40zbwtMGkPpHMjWWcewpwe2ij5J1COP+h4Vv3lKv648490LO3IW6YUq66aw6p39DPtiW54rQNGU2Mqo2LkWgjlNQh4fg4LdvRz3rHjg/AtmrWIO86/g0WzFpUdnK8Y+drS3l665/uVr5S+ZwoZPsyb516kcVvJhYWZqiaXhhYKlVp7hD20nUMf/dpFNzfQwXZSjNDBdrq5gX7tYk6eLKid0zpZMXcF2y/fzsiVI2w//xHW/qiN31wP3Zug4zVIjUJ6uHQWy3QqzcUnXYxepehVylff91X+7id/R+/mXt9hLwDSMv7NteDMTl5ctQJduh1dMoKUent65FoI5fY2t2+Hq6+Gjo5RVHVsGVUn5EZ14vqntj8VWviLbOOE3btLGycEuWdyDR8OOwzWrYvfSi4syjFVrafwH0mmoEeziEwrtqGqDkbSogBUK8xFse1D88IMMwh+Htfojsthx6TSzcgEuCE7GOAAACAASURBVKvEYzqdSrPnC4UD3IYVbK9QmI9CYS7CCn9RyPPcD6XumUYJHhc0mkCjnJdqUa5Hcz6ro7qyPqrU2sP3SMNPFyeo91ox8uggdrb6a2qmd16Jx/TwaPEcyn4sp0pZCBUL8Jd54edmgiu0Pt/kdsH9FjFO8EOxe6aRgscFmUNrpPOSBIpZH+WzOqor66NKrD3A5xDYr81rUO+1UuToWtp95jXO2O9X4jE9pcS+/FhOlbIQiiLMh5/wF5WEuYDi90yY/YKkEySaQCOdlyTga05BRKaKyMki8u7MEnXDqkGl1h4lTQCDdHEinnkL2jsv1+PXjw9AGBnWogjz4Sf8RSWhKErdM2H3C5KO32gCjXZe4sZPPoVPAr8AfgYs8T6vjrZZ1aOQJUlTU/HtfJkABuniRBwkJmjvvDnVXLSsnzqKUWn6zqjCfOzcXXyuoxLjhFL3TCNa5OQzHlixYvy0WSOelzjxM1K4BDgJeEpVTwPeigt5XTfk3pg7dsDatSEEygvSxQnqvRaQqPMfl1PHBMupy7ezYu4KX9tHFeajfbT4NShHJvu9Zyx4XH7svFQXP0LhNVV9DVwWNlV9FDgm2mbFTyiB8oJ0ccqN4x3ATi9I7zyIaiZMHwC/RBHmIz0CC/uL2+36DfDW0hL8ngm9XxBlergqEnF/ycjBT5KdHwJ/DXwalzLzJSCtqnOjb15xKjVJjZygGUaC2t1FaKeX9BzNA4MDdH39OHaNhhc3sW0P9P+70PlCYYeDMC2HI607yvRwVSbKc96oVJRkR1X/UlVfVtWrgS/gQlpHnj+5LgjaxQkyPInYTi8Ms9Eo6XwJ1vzAvcgneG4HJD3i6llzM3QOFbecijIHR2h1F7s3MoJgJOekJdi2M0l5TxoBPxPNh2cW4AngQeD1kbcsCqo9nC5HJeRn5g0it9MLw2w0UpYtY87vRunP57ldwrNYRqFl2JXveM1t3389zHnKnw4iyhwcZdWde18fe6xLUFAOCbXtrEreE3OZBvypj37N3mg1k4AjgMdU9bjom1ecQOqjuIbTUal4qpD8tpDHcFAP4EgocPwDU6HrItjVUnjTtj1OCHS+lPtHDeogKnGvLkQjJkxuMJfpStVHb1HVLu9zBnAysCHsRkZKnMPpqLo4VbDTq9RsNFIKHFfnS04NlE+tlKbJqYlubRovEGpVB1Gpe3UhGs2201ymx5MdMMzvAvy6nO3CXmbOnKm+uOgi1XQ6O76Y/6WpSfXii/3tp5pMmeKv/R0dcbc0Gkoc/9ap6MVz0Y4r0NSSlHYs7dCL112sW391h7ueHR2qqZT7vPhi1a1b4z6i4FRyX1d6z2zd6vY/ZYqqiPu86KL6PY/p9MT3QL5zcNZZqjNmjN/2uONU77gj/75jOo/ARi30fi/0x1gB+EzW8llcRrafldquGotvoeD3BVpoaW8PeMqrQLk3cr1w3nn+rt1558Xd0uio9L4u955Zv161rW3i/ZdOu/Xr11fn+MOinA5WoXNQbFmyZPx+YzyPxYSCHz+FKVlLK7AOOCf0IUuUhJ1tPeiEVBgTWLl1fOc77hYqRtIzr1RCqWPP4DNMd00ShZqn1D1Tj6qWoKrYctV2V13l1JSZsAlnn53M81hIWtTCUrWRAuwd2s2dqzp5sn/pHkZvoFAdTU3jP2u9xxaERlSf5aoayrmPK71n6nGEGvReikptV8XzSIXqo6OBG4D/Au7MLKW2q8ZSlTmFoEtb21594Nat7rff8vnwU0dTk1Nx1bqOPAh+X4qpVNwtDYdy1BWZpbl5/L1xRwXzKvUojIMKuijUdlU+j5UKhYeAi3BWRzMzS6ntqrH4Fgp+XqxhLdk3j5+bTcSVKTTJFEYdYZOEScZyX05JaHspctu4zz7uxV7uPTljRnhtq0dhHLTzVu4orZwlovNYqVDYVKpMXItvoaBaWU8r6JJ5EZXTo8gdxodRR5gkZZKxHDVGUtpejKju07Cox5GCarB7w0YKXA30AAcD0zJLqe1K1LkfsAZ4FHgEmO3VezuwxfucWqqeQEJB1Q2bjzsu+guZke6V9CgyPZMw6giLMNRhcbUlSW2v5JjKXcKiHucUMmzd6k+tZnMKPJFnebzUdiXqvBH4pPe9xRMSXwUu99ZdDnylVD11OVLIvSHCqCMswrTnDkNlE6R3VwsvsyhfNmGd91oQrlFTLXV0a2tk57EioRD2AuzrCRbJWf8YcLD3/WBcKI2iddXFnEKxpaMjnDrCIkx77rBUNn57d7Wg9qiGWiKM814LarioqUYnM8lCAXgH8HHg/MziZ7sCdZ0IPAB8G/gV0AvsA7ycVUayf+ds3w1sBDYefvjh/s6A38nalhb3YslM2pZzIZub3cRgGBOEqVTlAi3Miaqgk4xJ6lXWwgRpNScwKz3vhYTxHXckfyI/LPKdg3POmejRXO6SYPXRKuBe4BvAv3nLdaW2K1LfLGAYeLv3+1rgn3OFAPBSqbpC91PI9BLLeREXsv8utD5IeyrplcQ5UkiSysZGCtGfdxtB5Ccpz28WlQqFR3JVPZUsuLDbT2b9fhfOSzo69VE5vcRiN/ikSarz5u3tIbS3l37pZ/sS+BmJ5D60ub2ScuqolKjsuavxIk6SgKqkjWEuYZ73JI0Kk0ju8+v3GiXUJPWWzMs6rAW4GzjG+3418C/ekj3R/NVS9UQ2UsgQpjVC9gunWk5tcVsfJUllUwsvrUpUhXGf91oQukki5g5TpULhLlwKzp8Bt2WWUtuVqPNEb16gH/gRMBXYH7jDM0n9b3yYvYbq0VzJDRvXBGwcw/Uo7LmrpbKpBfVGGCFN4jjvSbvWSSdmIVqpUHhPvqXUdtVYQrU+CtJLrCQGTfbkW5BwA4XMOisJWVAuUY2gym1LkInNfL4qxUIbh0Gxaxfkmq5alb/tq1aNrycO1WK5o5Mg168WvNELUY6XeoQj11BNUoFTga8H3S6KJRQ/haC9xLBM0ZI+IgiDqFU2Qc9LkkZWQQPTBa2n1BL2Cyfq0XKtPgOqiQxoGYZJ6ls9nf+Tnjrp7/1sF/US2KPZbw+32PZh+zskce4gTKJ6mGvBozmsOYIw77uoXjhRzqvV8jOQ0ICWZQkFXHTUq3ChKO4B/gF4qlD5OJbAQqFSorAOKTWMr4cJvEqFcT6Cnpc4zmMl90tYTpDZ/jdRvnCCvriDXI9afgYS2vZiQkHc/xMRkVHPSugTqrrVW/e4qh6Zd4MYmDVrlm7cuLF6OyyQLD6UegslSve7z0ZLth70vMRxHiu9X4K2vVQ9UdPX5xLDDA2NTxyTTrtlzZq9OcmDXA/V2n0GEvr8isgmVZ2V779imdc+DDwH3CUi3xSRM3Cexo1LkExXKT9J7XzUGzQrVKMQ9LzEcR7DyvgXdubAqJgzB/r7obt7fJbB7m63PiMQgrRp587afgZqsO0F31yq+iNV/SjwJtw8wqeBg0TkehF5f7UamCja2/2V6+iAkRGYMqXyev3u02+5eiHoeYnjPFZaV9C2R9WOIHR2wooVrtc7MuI+V6xw68tpU3u7/7Kjoy79qggcfzzceWewtkdBDT6/JbuzqvqKqn5PVc8CDsXFK7os8pYlkQUL3DC4GOk0LFxYXvkw9tkoxHEtguJnn37aElY9SSLI9Sjn+B9+GM44A774xfLbGAa1+PwWmmyohaXqE81xWLzUsuVFlNS79VFYgRWTem+EbX1UbInSByXM4/RbXwi+GiQpdHaYS1kmqUGciPKd6Dhs45Nmo50UJ6I4/RT8noOgNuphra9l+/0gfgp+luOP99eeOPJ+TJ6sOnduNO+eIphQUA3XgSSoiWUYJplRmHWWQxIFVLWvRdBzUCzMdPb6oIEVC9UT171RDkGuR7lB5aB0O+LI+zFvnguu6WefIY84TCiE5UTU6JgqK9pzkFCb9rwkYbQYllCoxn1daZiLkO8NEwphORE1OrX00oqKKM9BrQSVS8poMSyhEPV9Xa7qK8Iw9CYUKk1eEvdDWIxq9thq5aUVJVGegySFGs+QsEBu48gNDlhoKTWnEOU1rXSSPLPPkO+NYkIhgIdVDVMrzj9B6euDri7o7XVek6rus7fXre/rC3d/NeiIEzpRnoOk2bTnu79eeQWGh4tvNzQEy5dH377rrvNX7tpri/8f5TVdtmy8d3dQMvus4r3RGEKh0hPV1hZOO8JkYMCFFNi1a+JNNzTk1s+f78qFRdJeWnEQ5TlIkk17sfurFENDsGpVNO3K5vTTYcmS4mWWLHHlihHlNV29ujKhkNnn2Wf7K3/WWeXvy6MxhEIlzj8A06eH1pTQ8NMDCbvHlqSXVlxEeQ4WL/ZX96WXBq87m4EB6OkZH4qip2d8ByKsHm7UXHkl3HGH82DO5vjj3forryxdR5TXtJLzIAKvvuqu0Q9+4H+bSimkV6qFpSrWR+BMAJNGHPp9sz5KXo6IqOqv53m4XKK8ppWex4jOOw0/p9DZ6SI0trWVN2LYtSv8NlVKtfT72b3KGTPcrdfc7JZs0ml3ftesmRjnpp4odi+FcQ7mzIG1a+Hoo8evP/potz47qFwpckcE7e1ODeFH5VjJfRPVaNHPCKccorymlWopghLGCK2QtKiFpeIkO7Xc66nGSKFQr7K52TlRtbVNdKKK23a9WkTlTFjOSCGfBdrcuc5btlwzyEp6uFGMFqthBhvFNQ2aZMdPKtWIRwqxv9grWSqOfVTLdvdRtz3okDoptuu1TDlqjLDSw+a+WMrx7YnqWte62jLIs1GJMDbntRCEQi3fbFG3PYjQqeXzmCSiSGlZzpJKJSuNZC133jL4HYVUMkqwMBchRUmt5R7u+vVORZB7I4m49X5VDflUPEHUU/Xw0CaBoCrBKNLDZteflGejkZwmyxkpWEC8kIWCanKCzQVl/XoXUCufUJg0qbIooUE8KBvpoY2SoF6rUVi25ArvJDwbSfT0jgo/gj6EvNvFhELBHM1RIyJNwEbgWVWdJyJHADcB+wObgIWquqdYHVXP0Rw2AwPOHnz1amc10N7urBUWLy5t6TAw4LxNi1lGtbW5NIidncHLt7c779VSZMr5uY9SKZeNy8hPqXy+BwFzgVOByQK7FH4J3A+8HXgnMBl4Fbd+PfB8wDZk3wNJIaF5jiMh6HNaJuXmaI6aS4BHsn5/BViuqkcBLwGfiKVV1aLSEBVBndeClvfrsDd9unk6h0Ux88UTgKXAabgXPwptwOnAP3mfbbgs6m1euaXedn5IsklxIzlNRm3y7INYRgoicihwI/Al4DPAWcA24PWqOiwis4GrVfUDxeqp2ZGC1xsY3NXKBmbTTxd7aKWF3XTRz2w2MK1td/HeQNDeU9DybW3Om7IUbW1wwQVOmBUTOum0S+C+YkXpOhuVQr3Eg3Av+Ell1PkacAWFRwwZ/4WFC52ndNIEAlSt9xyYHQPwyDJ4cjUM74Tmdpi+AI5dDFMqbMfAgOugrVq1V4sQ4jUqNlKISyiswd3mU4DPAhcC93mjBETkMKBPVY/Ps2030A1w+OGHz3zqqacia+fgwCAblm2gf3U/e3buoaW9ha4FXcxePJtpndPKr7inhy033MUtIx9mhCZGaRr7K8UITYxwbtOtzFh0RuGXaCoVTGUTtHwQd/mtW8N9aKN82JJOX59zIBsa2itkL8T1/JuLbFeIYeBOXBcsl1pS5+U7L+A6G+m06z0HceyrlD/0wd3zYXQINKs9koZUGt61Bt5QxfYEJFHqIxGZBzyvqpvK2V5Vb1DVWao668ADDwy5dXvZ0reFlV0r2dy7mT079oDCnh172Ny7mZVdK9nSt6Xsuge/s5ZbRj7MEC3jBALAKE0M0cItIx9m8MbbClcSVGUTpYonzCHvH/pgfRcM9MLwDkDd50CvW/+HkCO/Jo05c5zw7O7e67l7KuUJBLztTi3wXy2p8/Kdl44O97u/v7oCYceAEwgju8YLBHC/R3a5/3eEGIyyisQxp/BO4GwReRI3sXw6cC2wn4hkbv1DgWdjaBvgRgi3zL+FoV1DjA6NjvtvdGiUoV1D3DL/FgYHBsuqf8MrJzCSIwxyGaGJ+3a+pXCBoHrWqPWyYTy0df6w+aaz040Qt293PfnJFQY5y6d2qkUdfO552b7d/a62yuuRZW6EUIzRIXi0CuHDI6DqQkFVr1DVQ1V1OvBR4E5VPQ+4C5jvFbsA+HG125Zhw7INjAwVH1aPDI1w3/L7yqq/n64JI4RcRmmiv9gsYdCImkHL77NP8bIZsnublT60df6wlU1zhT361/KsCyPaaqPy5OqJnZZcdAierEL48AhIUkC8y4DPiMhWnFnqt+JqSP/q/gkjhFxGh0bpX9VfVv17aKm8XFCVTdDy558PTcUFF01NbpI5LOr8YSub6QucrrochoF7sn4n2cqoVhj2GXRuqDaTTcUqFFT156o6z/v+uKqerKpHqeq5qro7rnbt2VnUPSJwuVxa9vEnFFraS5QLqrIpUn5w7S9Zt3aUpR1LWZJawtLvHMo6zmSQqYX339oabm8ziQ/bjgF4oAdu7oDvpdznAz3VVWEdu9hNXpaDNMPd7fHq4OsNvyO3dA3N2WSRpJFCYij5Mg5YLpeu808gVaITnmqCrgtOLF1ZUJVNnvJbzryElWetHz+p/soQm3kbK7mILU1vGl9HVL3NpD1sSZn0ntLprFma2vKMGJpyPj0k7cqfcRsM7IhXB19v+Bm5SRqm19icjUdDCYXBgUHW9azb2xvuWMq6nnUTJoy7FnSRSpc4NQJDrw4VracQsxfPpqm1+E3V1JrmlEtP8VVfJRSdVB/BWULJXzHYflj0vc0kPWxJm/R+wxyY2w9HdUO6A0i5zxmL4JRVsG+O4O44Gt6ztnKzyCSMlJKGn5FbKg1vqs05m9jCXIRBEOe1LX1buGX+LYwMjYx7+aXSKZrSTZy75lxmzJkBuBflyq6VDO3yn44wXz1htSdK1vWsY3Pv5qJzKKl0ipndM5m7Ym60jdkx4HrgI0X8HZra3Msxan+FB3rciKDYHIek3Uv6pBgd8qK0l69xW/xIqfFzkyg/hTgIamI6rXMa5645l3RbuvSIoUg9xZgxZwaL+hcxs3smrR2tSEpo7WhlZvdMFvUvqopAgOgn1QNRTE2SUYe8a011HNhqYdI7ytFM0kZKSaPQyO2obrc+wQKhFOW6xNQUQUxMM73hzEv7vuX30b/KeTRLkzA6PApFBle59RRjWuc05q6YG30PvAhRT6oHJvOwPbrcvXCHdro5hOkL3XC8Wh7NSZz0ziWICW/Q0UyUddcLUzrdsdfZ8TfESKHc3nDmpX359su5cuRKmic1FxUIhepJMlFPqpdF5mE7dzt8fMR9nrSiuiEukjbpnY8oRzO1MFIyIqEhhEJYveHE9apDwM+keiqdomthV5ValBCSNOldiChHM7UwUspgk+Gh0hBCIazecLn1+LV6ioPZi2fTlC5uH9uUbqqKJVRV8PsCqQULkyhHM7UwUoLkmA3XEQ0hFMLqDR999tG+9nf0WXvLRRlYLwyKTaqn0inSbWnOXXNuZVFhk0KQF0iSJr0LEeVophZGSjYZHgkNIRRC6w37td714pdFHVivHPKNWn639nd8bO3Hqm8JNTAAPT3jvat7etz6sCnnBRKWhUlU6o0oRzO+vKgVHv92fCobi5UVCeanEMAvYGnHUtfbL0FrRyuXb788WT4AJMc3Aqh+fPy4/A6itmePw0+BJmAk6zPEfQbh5g5vxFeCdIczVjDGaHg/BQjHLyDoRHOSfAASNWoZGHACYdeuidnahobc+vnzwx0xxGFNUw31RpT28vnqHjfXkGPmXW2VTS1NhtcQDeGnkKFSv4CW9hZfI4XMRHOSrJXK8dWIjCD5osNK3xnHC6Ratv5R2svn1j024ipyL1XLf6G53edIoTYD08VFw4wUwiDohHWSfACSNGph9Wp/QmFViL32OKxp6tHWP0nHVAuT4TWICYUABJ2wTpIPQLmjlkjMaXf67I37LeeHOF4gvkcnf64d+/okqWxqwWy4BjGhEICg5pvlWD1F5dNQzqglMnPaTLa2g3BJ6b8JrPY+L/TWZ5cLgzheIIEyptWIfX2S/BdqwWy4BjGhEJAgE9ZBhUiUPg1BRy2RTkwvWABva4KlwGlAG86Mt837vRT3f5g5hON4gZSTMS3p9vVJU9nUcWC6uGgYk9Q4GRwYHBdYr6W9ha6FXZxy6SljAsFPuO50W5pF/YvKciQLWn+k5rQP3wkPnAGtRcrsBk6+A447PVjdpdgxUL1ge35CgRei2mG5dwy4ifEnVzsVUXO7EwDHLh5/XpIU3twom2ImqSYUEkI1fBqC+CkE9ckIxAM96JYbEClswaLahBy9qPYjUBa09fdBtezrg/o61HguAcP8FGqCalgHBVF9RWlOO/r4qqICAUBkhNHHvxO47sSRT73hl2pM1sbp6W0kkobyUwjK4MAgG5ZtoH91ltpnQRezF88OPRZQtXwa/PpqBPXJCIKMvDIWCqRoOb+WLkkn19bftyduFSZry/WlqNNcAoaNFApS7UB2SfJpgGjNafe85u8Y/JarOZI0WZskvwMjEZhQyEO5ljdBzUmzy/vplVczr0GUIbUf23Q0paayVOHRTceMX1kvcfOTZF+fJL+DbOrlWtcgpj7KQzkhIfJN4mZGFg/d+NCEYHOFJn2LEWVeg3yqsunvnc4Tdz3B6PBowYnpctRo0uyvL5LKLpdvcjNj1//EjbU1uZkxjy01WVsN650khopI2rX2a5kVdR1VouojBRE5TETuEpHfisjDInKJt36aiNwuIlu8z6nVbluGoJO+QUcWxcrnI+q8BoVUZQO3D4BC5wc6Qw2p/aZZv0NKzCmIuHJAfcbNT8pkbZJUWZC8ax1GEp8aSwQUx0hhGFisqptFZAqwSURux/my3qGq14jI5cDlwGUxtC/wpK+fkcXQq0N8/divMzo8Sqo5xeiwv9FBa0frBJ+GMMkWULmMDrkRwpN3Plm2f0Q+mptf81nuVfelXpPIJ2Gy9tjFrvc9UuT8VjNURJKudbaAykWH3Dm7e35xn4ww6qgyVR8pqOpzqrrZ+74DeAQ4BDgHuNErdiPwoWq3LUPQSV8/IwvUvWSzP0uR8QGYu2JuZJnPgqjKwmJ4eJLPcpPdF5sMjY6khYpI0rUOI4lPDSYCinWiWUSmA28F7gdep6rPeX/9EXhdgW26RWSjiGzctm1bJO0KankTVejraoTULiXQph40yAfPu40z3vrh0Cb8Htvob6L5sY1eWtOkTobWC0lRZUGyrnUYAipJQs4nsU00i0g78J/Ap1X1z5KlZFZVFZG8rw1VvQG4AZxHcxRtm714Ng/d+BD7Tn2B2XPvpeud/bRM3sOeV1vo/2UXG9a/g507Xzc26evXpj8o1TA/LSZ4jjphC+d+6maamkdoavYERwgTfqPDxUcmGUYy5ZI4GVpvJEGVBcm61mEIqCQJOZ/EMlIQkTROIHxXVW/1Vv9JRA72/j8YeD6OtoFz8Lrg+wex6Jrredtpm2lt24MItLbt4W2nbWbRNddzwfcPGlPpHH320aG3oVrmp4UEz9SDBjn3UzfTMmlor0DIUOGE3zEzt/ibaJ7pTTQnbTLUiI4kXeswIsImKaqsT+KwPhLgW8Ajqvq1rL9uAy7wvl8A/Lhqjcq1if5BO4e8chEtrRNfiE3No7S0DvG67X/P9Ud+liWpJTz8g4dDb1KU5qfZFFKVzZ57L03NJXr0ZepCWyb5G1WNlUuSXb8RLUm61mEIqCQJOZ/EMVJ4J7AQOF1EHvSWucA1wF+IyBbgfd7v6MlnLjbyCuhw0c1Eh5j57l+Agg6Hp8WK2vw0l0JOal3v7J84QsilTF2oNu3jr1yml5W0yVAjOpJ0rcMQUEkScj6Jw/roHlUVVe1S1RO9Zb2qvqiqZ6jqDFV9n6pGn0G+mE10CZqaR+k6NbzUlWH5AASlUM6Hlsk+50jK0IWmjlyIlpjOUppJHXn+3hVJmgw1oiUp1zoMAZUkIeeTxg6dPZaEPGBIY4/RUeGfF15V/v4zCFw1GkI9FZCb8+GyG75M6+TdpTcsJ7yzxeQ3aokwcnBUM4+HDyyfQiH8RqsswGu7WvnK315R/v49yspJEDV+BGYliWAsJr9hxIblUyhEBaGZR4ZT9N9TuXVQNYPcBSJqXWhSVASGYYyjsQPi+bWJzsPIcBP39c2uuAnVsjIKTDWCtiXFNt4wjDEae6RQRmL1keEUe15Lc8t1H+Gl5/NYBwmkWlJjE8cz5s2geVLzBLPPalsZlYX15g2j4WjsOQVfidWboHkyDO9itGkfNt/+Zu5d+/b8AgFIt6UnBI/LncRtaW+JNMidYRhGMWyiuRgBJzwL5UHIzjFQLXNSwzCMcrCJ5mIEVJHMmDODRf2LmNk9M9QcA4ZhGEnARgqGYRgNho0UDMMwDF+YUDAMwzDGMKFgGIZhjFHTcwoisg14qkq7OwB4oUr7iptGOdZGOU5onGNtlOOEyo71jap6YL4/alooVBMR2VhoYqbeaJRjbZTjhMY51kY5TojuWE19ZBiGYYxhQsEwDMMYw4SCf26IuwFVpFGOtVGOExrnWBvlOCGiY7U5BcMwDGMMGykYhmEYY5hQMAzDMMYwoZAHETlMRO4Skd+KyMMicom3fpqI3C4iW7zPqXG3tRJEZJKIPCAiD3nHucRbf4SI3C8iW0XkByLSEndbw0BEmkTkVyLyE+93vR7nkyLyaxF5UEQ2euvq6t7NICL7icgaEXlURB4Rkdn1dqwicox3LTPLn0Xk01EdpwmF/AwDi1X1zcApwMUi8mbgcuAOVZ0B3OH9rmV2A6er6gnAicAHReQU4CvAclU9CngJ+ESMbQyTS4BHsn7X63ECnKaqJ2bZsdfbvZvhWuCnqvom4ATc9a2rY1XVx7xreSIwE9gF/JCojlNVbSmxfFGcGQAAA/BJREFUAD8G/gJ4DDjYW3cw8FjcbQvxGNuAzcDbcV6Szd762cDP4m5fCMd3qPfgnA78BJB6PE7vWJ4EDshZV3f3LrAv8ASewUw9H2vWsb0f+GWUx2kjhRKIyHTgrcD9wOtU9Tnvrz8Cr4upWaHhqVQeBJ4HbgcGgJdVddgr8gxwSFztC5H/C3weyGRG2p/6PE4ABf5LRDaJSLe3ru7uXeAIYBvw/3lqwV4R2Yf6PNYMHwW+732P5DhNKBRBRNqB/wQ+rap/zv5PnXiueXteVR1RNyw9FDgZeFPMTQodEZkHPK+qm+JuS5U4VVXfBszBqT7fnf1nvdy7QDPwNuB6VX0r8Ao5KpQ6Ola8Oa+zgVty/wvzOE0oFEBE0jiB8F1VvdVb/ScROdj7/2Bc77ouUNWXgbtwapT9RKTZ++tQ4NnYGhYO7wTOFpEngZtwKqRrqb/jBEBVn/U+n8fpnk+mPu/dZ4BnVPV+7/canJCox2MFJ+Q3q+qfvN+RHKcJhTyIiADfAh5R1a9l/XUbcIH3/QLcXEPNIiIHish+3vfJuHmTR3DCYb5XrOaPU1WvUNVDVXU6bvh9p6qeR50dJ4CI7CMiUzLfcTro31Bn9y6Aqv4ReFpEjvFWnQH8ljo8Vo+PsVd1BBEdp3k050FETgXuBn7NXh30P+LmFW4GDseF7P6Iqg7G0sgQEJEu4EagCddBuFlVvygiR+J61NOAXwELVHV3fC0NDxF5L/BZVZ1Xj8fpHdMPvZ/NwPdU9Usisj91dO9mEJETgV6gBXgc+Gu8e5k6OlZPwP8eOFJVt3vrIrmmJhQMwzCMMUx9ZBiGYYxhQsEwDMMYw4SCYRiGMYYJBcMwDGMMEwqGYRjGGCYUDMMnIjKSE61yQgAyEXlvJgprgHp/LiINkWzeSD7NpYsYhuHxqhcSxDDqFhspGEaFiMgHvXj+m4EPZ60/WUQ2eMHa7s143orIZBG5yYv//0NgclxtN4xcbKRgGP6Z7EWUzbAUF1rgm7h4SluBH2T9/yjwLlUdFpH3AV8G/hdwEbBLVY/1vMo3V6X1huEDEwqG4Z8J6iMvzMITqrrF+70ayISr3he4UURm4CJYpr317wauA1DVfhHpr0bjDcMPpj4yjOj4Z+AuVT0eOAuYFHN7DKMkJhQMozIeBaaLSKf3+2NZ/+3L3nDcF2at/wXwcQAROR7oiriNhuEbEwqG4Z/JOSap16jqazh10Tpvojk7pv1XgaUi8ivGq2qvB9pF5BHgi0CjJP8xagCLkmoYhmGMYSMFwzAMYwwTCoZhGMYYJhQMwzCMMUwoGIZhGGOYUDAMwzDGMKFgGIZhjGFCwTAMwxjj/wcqHuteMSalYQAAAABJRU5ErkJggg==\n","text/plain":"
"},"metadata":{"needs_background":"light"}}],"execution_count":null},{"cell_type":"code","source":"X = df.iloc[:, [2,4]].values\nplt.scatter(X[y_hc==0, 0], X[y_hc==0, 1], s=100, c='red', label ='Cluster 1')\nplt.scatter(X[y_hc==1, 0], X[y_hc==1, 1], s=100, c='blue', label ='Cluster 2')\nplt.scatter(X[y_hc==2, 0], X[y_hc==2, 1], s=100, c='green', label ='Cluster 3')\nplt.scatter(X[y_hc==3, 0], X[y_hc==3, 1], s=100, c='purple', label ='Cluster 4')\nplt.scatter(X[y_hc==4, 0], X[y_hc==4, 1], s=100, c='orange', label ='Cluster 5')\nplt.title('Clusters de clientes (Hierarchical Clustering)')\nplt.xlabel('Edad')\nplt.ylabel('Spending Score')\nplt.show()","metadata":{"id":"Xx44Z1t_2_zg","colab":{"height":295,"base_uri":"https://localhost:8080/"},"cell_id":"ee5b5556aeb945e2baecdaeb60887a1b","outputId":"8bf935bb-9143-40b2-b173-3185e79e1682","deepnote_cell_type":"code"},"outputs":[{"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":"# 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":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
manufactmodelsalesresaletypepriceengine_shorsepowwheelbaswidthlengthcurb_wgtfuel_capmpglnsalespartition
0AcuraIntegra16.91916.3600.00021.5001.800140.000101.20067.300172.4002.63913.20028.0002.8280.0
1AcuraTL39.38419.8750.00028.4003.200225.000108.10070.300192.9003.51717.20025.0003.6730.0
2AcuraCL14.11418.2250.000$null$3.200225.000106.90070.600192.0003.47017.20026.0002.6470.0
3AcuraRL8.58829.7250.00042.0003.500210.000114.60071.400196.6003.85018.00022.0002.1500.0
4AudiA420.39722.2550.00023.9901.800150.000102.60068.200178.0002.99816.40027.0003.0150.0
\n
","text/plain":" manufact model sales resale ... fuel_cap mpg lnsales partition\n0 Acura Integra 16.919 16.360 ... 13.200 28.000 2.828 0.0\n1 Acura TL 39.384 19.875 ... 17.200 25.000 3.673 0.0\n2 Acura CL 14.114 18.225 ... 17.200 26.000 2.647 0.0\n3 Acura RL 8.588 29.725 ... 18.000 22.000 2.150 0.0\n4 Audi A4 20.397 22.255 ... 16.400 27.000 3.015 0.0\n\n[5 rows x 16 columns]"},"metadata":{},"execution_count":3}],"execution_count":null},{"cell_type":"markdown","source":"Los features incluyen:\n- price en thousands (price)\n- engine size (engine_s)\n- horsepower (horsepow)\n- wheelbase (wheelbas)\n- width (width)\n- length (length)\n- curb weight (curb_wgt)\n- fuel capacity (fuel_cap) \n- fuel efficiency (mpg).","metadata":{"id":"oQdUbWNn68_H","cell_id":"c724f373989b414abbb66d362c971e0b","deepnote_cell_type":"markdown"}},{"cell_type":"markdown","source":"# Data cleaning","metadata":{"id":"rQ7dAfcq7MFz","cell_id":"53265b46d9394d8c93e6e79c4a75263d","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"print (\"Shape antes de cleaning: \", pdf.shape)\npdf[[ 'sales', 'resale', 'type', 'price', 'engine_s',\n 'horsepow', 'wheelbas', 'width', 'length', 'curb_wgt', 'fuel_cap',\n 'mpg', 'lnsales']] = pdf[['sales', 'resale', 'type', 'price', 'engine_s',\n 'horsepow', 'wheelbas', 'width', 'length', 'curb_wgt', 'fuel_cap',\n 'mpg', 'lnsales']].apply(pd.to_numeric, errors='coerce')\npdf = pdf.dropna()\npdf = pdf.reset_index(drop=True)\nprint (\"Shape despues de cleaning: \", pdf.shape)\npdf.head(5)","metadata":{"id":"K61VsBzl7NKV","colab":{"height":238,"base_uri":"https://localhost:8080/"},"cell_id":"420ccee9cb774d1abe3159a159fa9763","outputId":"f6cb50ab-835a-496a-b4b2-2a12a72be553","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","name":"stdout","text":"Shape antes de cleaning: (159, 16)\nShape despues de cleaning: (117, 16)\n"},{"output_type":"execute_result","data":{"text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
manufactmodelsalesresaletypepriceengine_shorsepowwheelbaswidthlengthcurb_wgtfuel_capmpglnsalespartition
0AcuraIntegra16.91916.3600.021.501.8140.0101.267.3172.42.63913.228.02.8280.0
1AcuraTL39.38419.8750.028.403.2225.0108.170.3192.93.51717.225.03.6730.0
2AcuraRL8.58829.7250.042.003.5210.0114.671.4196.63.85018.022.02.1500.0
3AudiA420.39722.2550.023.991.8150.0102.668.2178.02.99816.427.03.0150.0
4AudiA618.78023.5550.033.952.8200.0108.776.1192.03.56118.522.02.9330.0
\n
","text/plain":" manufact model sales resale ... fuel_cap mpg lnsales partition\n0 Acura Integra 16.919 16.360 ... 13.2 28.0 2.828 0.0\n1 Acura TL 39.384 19.875 ... 17.2 25.0 3.673 0.0\n2 Acura RL 8.588 29.725 ... 18.0 22.0 2.150 0.0\n3 Audi A4 20.397 22.255 ... 16.4 27.0 3.015 0.0\n4 Audi A6 18.780 23.555 ... 18.5 22.0 2.933 0.0\n\n[5 rows x 16 columns]"},"metadata":{},"execution_count":4}],"execution_count":null},{"cell_type":"markdown","source":"# feature selection","metadata":{"id":"uIR45snO7cPF","cell_id":"8f0cfdce96304f6086e26033012726ce","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"featureset = pdf[['engine_s', 'horsepow', 'wheelbas', 'width', 'length', 'curb_wgt', 'fuel_cap', 'mpg']]\nfeatureset","metadata":{"id":"owYJEPNq7dmp","colab":{"height":419,"base_uri":"https://localhost:8080/"},"cell_id":"705f0ea08fa342c89f56a031e3eb8398","outputId":"12767ce2-396a-4aa2-dc42-b760bd449bb7","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
engine_shorsepowwheelbaswidthlengthcurb_wgtfuel_capmpg
01.8140.0101.267.3172.42.63913.228.0
13.2225.0108.170.3192.93.51717.225.0
23.5210.0114.671.4196.63.85018.022.0
31.8150.0102.668.2178.02.99816.427.0
42.8200.0108.776.1192.03.56118.522.0
...........................
1122.0115.098.968.3163.32.76714.526.0
1132.0115.098.968.3172.32.85314.526.0
1141.8150.0106.468.5184.13.04316.427.0
1152.0115.097.466.7160.43.07913.726.0
1162.0115.098.968.3163.32.76214.626.0
\n

117 rows × 8 columns

\n
","text/plain":" engine_s horsepow wheelbas width length curb_wgt fuel_cap mpg\n0 1.8 140.0 101.2 67.3 172.4 2.639 13.2 28.0\n1 3.2 225.0 108.1 70.3 192.9 3.517 17.2 25.0\n2 3.5 210.0 114.6 71.4 196.6 3.850 18.0 22.0\n3 1.8 150.0 102.6 68.2 178.0 2.998 16.4 27.0\n4 2.8 200.0 108.7 76.1 192.0 3.561 18.5 22.0\n.. ... ... ... ... ... ... ... ...\n112 2.0 115.0 98.9 68.3 163.3 2.767 14.5 26.0\n113 2.0 115.0 98.9 68.3 172.3 2.853 14.5 26.0\n114 1.8 150.0 106.4 68.5 184.1 3.043 16.4 27.0\n115 2.0 115.0 97.4 66.7 160.4 3.079 13.7 26.0\n116 2.0 115.0 98.9 68.3 163.3 2.762 14.6 26.0\n\n[117 rows x 8 columns]"},"metadata":{},"execution_count":5}],"execution_count":null},{"cell_type":"markdown","source":"# Clustering usando SCIpy\n\nEn esta parte usamos el paquete Scipy para agrupar el conjunto de datos:\nPrimero, calculamos la matriz de distancias.\n\n","metadata":{"id":"M6H-54eb7hPz","cell_id":"d4d44f0b054542b6943770969fb3ebfe","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"feature_mtx=featureset.values\nfeature_mtx","metadata":{"id":"1dDyi1x47voC","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"3083403321574a0eb4a9c6fd8e96fb78","outputId":"d2a328b6-cb86-47bc-88eb-e5ed8090c018","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"array([[ 1.8 , 140. , 101.2 , 67.3 , 172.4 , 2.639, 13.2 ,\n 28. ],\n [ 3.2 , 225. , 108.1 , 70.3 , 192.9 , 3.517, 17.2 ,\n 25. ],\n [ 3.5 , 210. , 114.6 , 71.4 , 196.6 , 3.85 , 18. ,\n 22. ],\n [ 1.8 , 150. , 102.6 , 68.2 , 178. , 2.998, 16.4 ,\n 27. ],\n [ 2.8 , 200. , 108.7 , 76.1 , 192. , 3.561, 18.5 ,\n 22. ],\n [ 4.2 , 310. , 113. , 74. , 198.2 , 3.902, 23.7 ,\n 21. ],\n [ 2.8 , 193. , 107.3 , 68.5 , 176. , 3.197, 16.6 ,\n 24. ],\n [ 2.8 , 193. , 111.4 , 70.9 , 188. , 3.472, 18.5 ,\n 24.8 ],\n [ 3.1 , 175. , 109. , 72.7 , 194.6 , 3.368, 17.5 ,\n 25. ],\n [ 3.8 , 240. , 109. , 72.7 , 196.2 , 3.543, 17.5 ,\n 23. ],\n [ 3.8 , 205. , 113.8 , 74.7 , 206.8 , 3.778, 18.5 ,\n 24. ],\n [ 3.8 , 205. , 112.2 , 73.5 , 200. , 3.591, 17.5 ,\n 25. ],\n [ 4.6 , 275. , 115.3 , 74.5 , 207.2 , 3.978, 18.5 ,\n 22. ],\n [ 4.6 , 275. , 108. , 75.5 , 200.6 , 3.843, 19. ,\n 22. ],\n [ 3. , 200. , 107.4 , 70.3 , 194.8 , 3.77 , 18. ,\n 22. ],\n [ 2.2 , 115. , 104.1 , 67.9 , 180.9 , 2.676, 14.3 ,\n 27. ],\n [ 3.1 , 170. , 107. , 69.4 , 190.4 , 3.051, 15. ,\n 25. ],\n [ 3.1 , 175. , 107.5 , 72.5 , 200.9 , 3.33 , 16.6 ,\n 25. ],\n [ 3.4 , 180. , 110.5 , 72.7 , 197.9 , 3.34 , 17. ,\n 27. ],\n [ 3.8 , 200. , 101.1 , 74.1 , 193.2 , 3.5 , 16.8 ,\n 25. ],\n [ 5.7 , 345. , 104.5 , 73.6 , 179.7 , 3.21 , 19.1 ,\n 22. ],\n [ 1.8 , 120. , 97.1 , 66.7 , 174.3 , 2.398, 13.2 ,\n 33. ],\n [ 1. , 55. , 93.1 , 62.6 , 149.4 , 1.895, 10.3 ,\n 45. ],\n [ 2.5 , 163. , 103.7 , 69.7 , 190.9 , 2.967, 15.9 ,\n 24. ],\n [ 2.5 , 168. , 106. , 69.2 , 193. , 3.332, 16. ,\n 24. ],\n [ 2.7 , 200. , 113. , 74.4 , 209.1 , 3.452, 17. ,\n 26. ],\n [ 2. , 132. , 108. , 71. , 186. , 2.911, 16. ,\n 27. ],\n [ 3.5 , 253. , 113. , 74.4 , 207.7 , 3.564, 17. ,\n 23. ],\n [ 2. , 132. , 105. , 74.4 , 174.4 , 2.567, 12.5 ,\n 29. ],\n [ 2.5 , 163. , 103.7 , 69.1 , 190.2 , 2.879, 15.9 ,\n 24. ],\n [ 2.5 , 168. , 108. , 71. , 186. , 3.058, 16. ,\n 24. ],\n [ 8. , 450. , 96.2 , 75.7 , 176.7 , 3.375, 19. ,\n 16. ],\n [ 5.2 , 230. , 138.7 , 79.3 , 224.2 , 4.47 , 26. ,\n 17. ],\n [ 3.9 , 175. , 109.6 , 78.8 , 192.6 , 4.245, 32. ,\n 15. ],\n [ 3.9 , 175. , 127.2 , 78.8 , 208.5 , 4.298, 32. ,\n 16. ],\n [ 2.5 , 120. , 131. , 71.5 , 215. , 3.557, 22. ,\n 19. ],\n [ 2.4 , 150. , 113.3 , 76.8 , 186.3 , 3.533, 20. ,\n 24. ],\n [ 2. , 110. , 98.4 , 67. , 174.7 , 2.468, 12.7 ,\n 30. ],\n [ 3.8 , 190. , 101.3 , 73.1 , 183.2 , 3.203, 15.7 ,\n 24. ],\n [ 2.5 , 170. , 106.5 , 69.1 , 184.6 , 2.769, 15. ,\n 25. ],\n [ 3. , 155. , 108.5 , 73. , 197.6 , 3.368, 16. ,\n 24. ],\n [ 4.6 , 200. , 114.7 , 78.2 , 212. , 3.908, 19. ,\n 21. ],\n [ 4. , 210. , 111.6 , 70.2 , 190.7 , 3.876, 21. ,\n 19. ],\n [ 3. , 150. , 120.7 , 76.6 , 200.9 , 3.761, 26. ,\n 21. ],\n [ 4.6 , 240. , 119. , 78.7 , 204.6 , 4.808, 26. ,\n 16. ],\n [ 2.5 , 119. , 117.5 , 69.4 , 200.7 , 3.086, 20. ,\n 23. ],\n [ 4.6 , 220. , 138.5 , 79.1 , 224.5 , 4.241, 25.1 ,\n 18. ],\n [ 1.6 , 106. , 103.2 , 67.1 , 175.1 , 2.339, 11.9 ,\n 32. ],\n [ 2.3 , 135. , 106.9 , 70.3 , 188.8 , 2.932, 17.1 ,\n 27. ],\n [ 2. , 146. , 103.2 , 68.9 , 177.6 , 3.219, 15.3 ,\n 24. ],\n [ 3.2 , 205. , 106.4 , 70.4 , 178.2 , 3.857, 21.1 ,\n 19. ],\n [ 3.5 , 210. , 118.1 , 75.6 , 201.2 , 4.288, 20. ,\n 23. ],\n [ 1.5 , 92. , 96.1 , 65.7 , 166.7 , 2.24 , 11.9 ,\n 31. ],\n [ 2. , 140. , 100.4 , 66.9 , 174. , 2.626, 14.5 ,\n 27. ],\n [ 2.4 , 148. , 106.3 , 71.6 , 185.4 , 3.072, 17.2 ,\n 25. ],\n [ 3. , 227. , 108.3 , 70.2 , 193.7 , 3.342, 18.5 ,\n 25. ],\n [ 2.5 , 120. , 93.4 , 66.7 , 152. , 3.045, 19. ,\n 17. ],\n [ 4. , 190. , 101.4 , 69.4 , 167.5 , 3.194, 20. ,\n 20. ],\n [ 4. , 195. , 105.9 , 72.3 , 181.5 , 3.88 , 20.5 ,\n 19. ],\n [ 3. , 210. , 105.1 , 70.5 , 190.2 , 3.373, 18.5 ,\n 23. ],\n [ 3. , 225. , 110.2 , 70.9 , 189.2 , 3.638, 19.8 ,\n 23. ],\n [ 4. , 290. , 112.2 , 72. , 196.7 , 3.89 , 22.5 ,\n 22. ],\n [ 4.6 , 275. , 109. , 73.6 , 208.5 , 3.868, 20. ,\n 22. ],\n [ 4.6 , 215. , 117.7 , 78.2 , 215.3 , 4.121, 19. ,\n 21. ],\n [ 1.8 , 113. , 98.4 , 66.5 , 173.6 , 2.25 , 13.2 ,\n 30. ],\n [ 2.4 , 154. , 100.8 , 68.9 , 175.4 , 2.91 , 15.9 ,\n 24. ],\n [ 2.4 , 145. , 103.7 , 68.5 , 187.8 , 2.945, 16.3 ,\n 25. ],\n [ 3.5 , 210. , 107.1 , 70.3 , 194.1 , 3.443, 19. ,\n 22. ],\n [ 3. , 161. , 97.2 , 72.4 , 180.3 , 3.131, 19.8 ,\n 21. ],\n [ 3.5 , 200. , 107.3 , 69.9 , 186.6 , 4.52 , 24.3 ,\n 18. ],\n [ 3. , 173. , 107.3 , 66.7 , 178.3 , 3.51 , 19.5 ,\n 20. ],\n [ 2. , 125. , 106.5 , 69.1 , 184.8 , 2.769, 15. ,\n 28. ],\n [ 2. , 125. , 106.4 , 69.6 , 185. , 2.892, 16. ,\n 30. ],\n [ 3. , 153. , 108.5 , 73. , 199.7 , 3.379, 16. ,\n 24. ],\n [ 4.6 , 200. , 114.7 , 78.2 , 212. , 3.958, 19. ,\n 21. ],\n [ 4. , 210. , 111.6 , 70.2 , 190.1 , 3.876, 21. ,\n 18. ],\n [ 3.3 , 170. , 112.2 , 74.9 , 194.7 , 3.944, 20. ,\n 21. ],\n [ 2.3 , 185. , 105.9 , 67.7 , 177.4 , 3.25 , 16.4 ,\n 26. ],\n [ 3.2 , 221. , 111.5 , 70.8 , 189.4 , 3.823, 21.1 ,\n 25. ],\n [ 4.3 , 275. , 121.5 , 73.1 , 203.1 , 4.133, 23.2 ,\n 21. ],\n [ 5. , 302. , 99. , 71.3 , 177.1 , 4.125, 21.1 ,\n 20. ],\n [ 1.8 , 126. , 99.8 , 67.3 , 177.5 , 2.593, 13.2 ,\n 30. ],\n [ 2.4 , 155. , 103.1 , 69.1 , 183.5 , 3.012, 15.9 ,\n 25. ],\n [ 3. , 222. , 108.3 , 70.3 , 190.5 , 3.294, 18.5 ,\n 25. ],\n [ 3.3 , 170. , 112.2 , 74.9 , 194.8 , 3.991, 20. ,\n 21. ],\n [ 3.3 , 170. , 106.3 , 71.7 , 182.6 , 3.947, 21. ,\n 19. ],\n [ 3.1 , 150. , 107. , 69.4 , 192. , 3.102, 15.2 ,\n 25. ],\n [ 4. , 250. , 113.8 , 74.4 , 205.4 , 3.967, 18.5 ,\n 22. ],\n [ 4.3 , 190. , 107. , 67.8 , 181.2 , 4.068, 17.5 ,\n 19. ],\n [ 3.4 , 185. , 120. , 72.2 , 201.4 , 3.948, 25. ,\n 22. ],\n [ 2. , 132. , 105. , 74.4 , 174.4 , 2.559, 12.5 ,\n 29. ],\n [ 2. , 132. , 108. , 71. , 186.3 , 2.942, 16. ,\n 27. ],\n [ 2.4 , 150. , 113.3 , 76.8 , 186.3 , 3.528, 20. ,\n 24. ],\n [ 2.4 , 150. , 104.1 , 68.4 , 181.9 , 2.906, 15. ,\n 27. ],\n [ 3.4 , 175. , 107. , 70.4 , 186.3 , 3.091, 15.2 ,\n 25. ],\n [ 3.8 , 200. , 101.1 , 74.5 , 193.4 , 3.492, 16.8 ,\n 25. ],\n [ 3.8 , 195. , 110.5 , 72.7 , 196.5 , 3.396, 18. ,\n 25. ],\n [ 3.8 , 205. , 112.2 , 72.6 , 202.5 , 3.59 , 17.5 ,\n 24. ],\n [ 2.7 , 217. , 95.2 , 70.1 , 171. , 2.778, 17. ,\n 22. ],\n [ 3.4 , 300. , 92.6 , 69.5 , 174.5 , 3.032, 17. ,\n 21. ],\n [ 3.4 , 300. , 92.6 , 69.5 , 174.5 , 3.075, 17. ,\n 23. ],\n [ 1.9 , 100. , 102.4 , 66.4 , 176.9 , 2.332, 12.1 ,\n 33. ],\n [ 1.9 , 100. , 102.4 , 66.4 , 180. , 2.367, 12.1 ,\n 33. ],\n [ 1.9 , 124. , 102.4 , 66.4 , 176.9 , 2.452, 12.1 ,\n 31. ],\n [ 1.8 , 120. , 97. , 66.7 , 174. , 2.42 , 13.2 ,\n 33. ],\n [ 2.2 , 133. , 105.2 , 70.1 , 188.5 , 2.998, 18.5 ,\n 27. ],\n [ 3. , 210. , 107.1 , 71.7 , 191.9 , 3.417, 18.5 ,\n 26. ],\n [ 1.8 , 140. , 102.4 , 68.3 , 170.5 , 2.425, 14.5 ,\n 31. ],\n [ 2.4 , 142. , 103.3 , 66.5 , 178.7 , 2.58 , 15.1 ,\n 23. ],\n [ 2. , 127. , 94.9 , 66.7 , 163.8 , 2.668, 15.3 ,\n 27. ],\n [ 2.7 , 150. , 105.3 , 66.5 , 183.3 , 3.44 , 18.5 ,\n 23. ],\n [ 4.7 , 230. , 112.2 , 76.4 , 192.5 , 5.115, 25.4 ,\n 15. ],\n [ 2. , 115. , 98.9 , 68.3 , 163.3 , 2.767, 14.5 ,\n 26. ],\n [ 2. , 115. , 98.9 , 68.3 , 172.3 , 2.853, 14.5 ,\n 26. ],\n [ 1.8 , 150. , 106.4 , 68.5 , 184.1 , 3.043, 16.4 ,\n 27. ],\n [ 2. , 115. , 97.4 , 66.7 , 160.4 , 3.079, 13.7 ,\n 26. ],\n [ 2. , 115. , 98.9 , 68.3 , 163.3 , 2.762, 14.6 ,\n 26. ]])"},"metadata":{},"execution_count":6}],"execution_count":null},{"cell_type":"code","source":"feature_mtx.shape","metadata":{"id":"NtXfBNgoRfmT","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"39eb4493d045456f8c9aaa8150067f71","outputId":"d1db6b8b-5405-4f40-a312-38d6d36c6eb4","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"(117, 8)"},"metadata":{},"execution_count":7}],"execution_count":null},{"cell_type":"code","source":"import scipy\nleng = feature_mtx.shape[0]\nD = scipy.zeros([leng,leng])\nfor i in range(leng):\n for j in range(leng):\n D[i,j] = scipy.spatial.distance.euclidean(feature_mtx[i], feature_mtx[j])","metadata":{"id":"-jB96qrw7mWy","cell_id":"88d8d1f5218d45158c1ac2bdb4e99575","deepnote_cell_type":"code"},"outputs":[],"execution_count":null},{"cell_type":"code","source":"D.shape","metadata":{"id":"VaFmi4yURij2","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"7b5722cd64ad485e9dd96842c8459de1","outputId":"ffd33fab-ce00-4642-c5e9-b87a8de9c1f9","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"(117, 117)"},"metadata":{},"execution_count":9}],"execution_count":null},{"cell_type":"code","source":"D","metadata":{"id":"GA-noKhtrpV0","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"86054fa1195b48db8d0c5f3b36bcee33","outputId":"b1be73c7-39a6-4d7e-ae08-b59bb847ff4c","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"array([[ 0. , 87.9180919 , 75.79845989, ..., 16.63650252,\n 28.07638866, 26.83496095],\n [ 87.9180919 , 0. , 17.0877409 , ..., 75.60022934,\n 115.3194773 , 114.3440861 ],\n [ 75.79845989, 17.0877409 , 0. , ..., 62.15304698,\n 103.39586278, 102.0832197 ],\n ...,\n [ 16.63650252, 75.60022934, 62.15304698, ..., 0. ,\n 43.35044747, 41.45224917],\n [ 28.07638866, 115.3194773 , 103.39586278, ..., 43.35044747,\n 0. , 3.75905427],\n [ 26.83496095, 114.3440861 , 102.0832197 , ..., 41.45224917,\n 3.75905427, 0. ]])"},"metadata":{"tags":[]},"execution_count":34}],"execution_count":null},{"cell_type":"markdown","source":"En la agrupación aglomerativa, en cada iteración, el algoritmo debe actualizar la matriz de distancia para reflejar la distancia del grupo recién formado con los grupos restantes en el bosque.\n\nLos siguientes métodos son compatibles con Scipy para calcular la distancia entre el grupo recién formado y cada uno:\n\n - single\n - complete\n - average\n - weighted\n - centroid\n \nUsamos __complete__ para nuestro caso, pero siéntanse libre de cambiarlo para ver cómo cambian los resultados.","metadata":{"id":"9DDXs9nT7715","cell_id":"ad546e6f3ee54274b4d88eb2a383cc9e","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"import pylab\nimport scipy.cluster.hierarchy\n\nZ = scipy.cluster.hierarchy.linkage(D, 'complete')","metadata":{"id":"mCNvzr5z8G-9","cell_id":"d16da4b5d92a4a27bb815cc905c17d9c","deepnote_cell_type":"code"},"outputs":[],"execution_count":null},{"cell_type":"code","source":"Z","metadata":{"id":"WtuJjkb-sCae","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"1b8e60c622e74580ab4970159b8e24e6","outputId":"860c2598-addc-4cf3-b230-71fcd8ac6d23","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"array([[3.60000000e+01, 9.20000000e+01, 7.15323980e-03, 2.00000000e+00],\n [2.80000000e+01, 9.00000000e+01, 1.14125439e-02, 2.00000000e+00],\n [4.10000000e+01, 7.40000000e+01, 7.12297939e-02, 2.00000000e+00],\n [1.12000000e+02, 1.16000000e+02, 1.64885417e-01, 2.00000000e+00],\n [7.60000000e+01, 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1.38000000e+02, 2.31406852e+01, 4.00000000e+00],\n [6.40000000e+01, 1.13000000e+02, 2.39614987e+01, 2.00000000e+00],\n [8.00000000e+01, 1.25000000e+02, 2.47504218e+01, 3.00000000e+00],\n [1.23000000e+02, 1.33000000e+02, 2.52052456e+01, 4.00000000e+00],\n [5.50000000e+01, 1.37000000e+02, 2.56583890e+01, 3.00000000e+00],\n [8.00000000e+00, 1.70000000e+01, 2.79871287e+01, 2.00000000e+00],\n [8.60000000e+01, 1.17000000e+02, 2.94217051e+01, 3.00000000e+00],\n [2.50000000e+01, 1.19000000e+02, 2.94392141e+01, 3.00000000e+00],\n [8.50000000e+01, 1.40000000e+02, 3.01296762e+01, 3.00000000e+00],\n [1.30000000e+01, 1.49000000e+02, 3.23304217e+01, 4.00000000e+00],\n [4.80000000e+01, 1.39000000e+02, 3.30523018e+01, 4.00000000e+00],\n [2.00000000e+00, 5.10000000e+01, 3.36196852e+01, 2.00000000e+00],\n [2.70000000e+01, 8.70000000e+01, 3.50006201e+01, 2.00000000e+00],\n [3.00000000e+00, 4.90000000e+01, 3.60698237e+01, 2.00000000e+00],\n [6.00000000e+00, 1.42000000e+02, 3.77471322e+01, 3.00000000e+00],\n [6.90000000e+01, 1.53000000e+02, 3.82515187e+01, 5.00000000e+00],\n [1.00000000e+01, 1.34000000e+02, 3.86593095e+01, 3.00000000e+00],\n [7.00000000e+00, 5.80000000e+01, 3.89679992e+01, 2.00000000e+00],\n [3.70000000e+01, 4.70000000e+01, 3.97217277e+01, 2.00000000e+00],\n [1.41000000e+02, 1.58000000e+02, 4.02221159e+01, 5.00000000e+00],\n [1.50000000e+01, 1.24000000e+02, 4.19953062e+01, 3.00000000e+00],\n [6.50000000e+01, 8.20000000e+01, 4.35855112e+01, 2.00000000e+00],\n [6.60000000e+01, 1.50000000e+02, 4.50039145e+01, 5.00000000e+00],\n [7.00000000e+01, 9.40000000e+01, 4.55005025e+01, 2.00000000e+00],\n [1.28000000e+02, 1.47000000e+02, 4.95386226e+01, 4.00000000e+00],\n [1.21000000e+02, 1.55000000e+02, 5.38695790e+01, 4.00000000e+00],\n [1.08000000e+02, 1.44000000e+02, 5.71562000e+01, 4.00000000e+00],\n [1.63000000e+02, 1.72000000e+02, 5.77658979e+01, 7.00000000e+00],\n [9.00000000e+00, 4.40000000e+01, 5.91698283e+01, 2.00000000e+00],\n [1.45000000e+02, 1.51000000e+02, 6.03837592e+01, 5.00000000e+00],\n [6.80000000e+01, 1.26000000e+02, 6.04112506e+01, 3.00000000e+00],\n [1.64000000e+02, 1.67000000e+02, 6.04814058e+01, 5.00000000e+00],\n [1.61000000e+02, 1.66000000e+02, 6.05308171e+01, 5.00000000e+00],\n [9.60000000e+01, 1.65000000e+02, 6.05862147e+01, 6.00000000e+00],\n [1.36000000e+02, 1.54000000e+02, 6.14147340e+01, 5.00000000e+00],\n [1.56000000e+02, 1.71000000e+02, 6.50522978e+01, 5.00000000e+00],\n [1.69000000e+02, 1.73000000e+02, 6.55089578e+01, 7.00000000e+00],\n [1.80000000e+01, 3.30000000e+01, 6.81767329e+01, 2.00000000e+00],\n [5.70000000e+01, 7.70000000e+01, 7.51732588e+01, 2.00000000e+00],\n [1.18000000e+02, 1.60000000e+02, 7.85878375e+01, 6.00000000e+00],\n [3.20000000e+01, 4.60000000e+01, 7.92986870e+01, 2.00000000e+00],\n [1.48000000e+02, 1.82000000e+02, 8.15119120e+01, 1.00000000e+01],\n [4.30000000e+01, 1.46000000e+02, 8.44417218e+01, 3.00000000e+00],\n [1.68000000e+02, 1.79000000e+02, 8.77561179e+01, 7.00000000e+00],\n [1.09000000e+02, 1.70000000e+02, 8.81280429e+01, 4.00000000e+00],\n [1.75000000e+02, 1.87000000e+02, 9.30459850e+01, 6.00000000e+00],\n [1.77000000e+02, 1.85000000e+02, 9.66864949e+01, 1.20000000e+01],\n [1.74000000e+02, 1.94000000e+02, 1.04818186e+02, 8.00000000e+00],\n [1.11000000e+02, 1.84000000e+02, 1.06553419e+02, 6.00000000e+00],\n [1.76000000e+02, 1.89000000e+02, 1.07164506e+02, 1.00000000e+01],\n [5.00000000e+01, 1.83000000e+02, 1.07589482e+02, 7.00000000e+00],\n [8.90000000e+01, 1.81000000e+02, 1.09240248e+02, 6.00000000e+00],\n [5.60000000e+01, 1.93000000e+02, 1.09607978e+02, 8.00000000e+00],\n [5.20000000e+01, 1.30000000e+02, 1.14496651e+02, 3.00000000e+00],\n [1.57000000e+02, 1.91000000e+02, 1.15015150e+02, 1.30000000e+01],\n [5.00000000e+00, 1.52000000e+02, 1.17446027e+02, 4.00000000e+00],\n [6.30000000e+01, 1.98000000e+02, 1.24112665e+02, 7.00000000e+00],\n [3.50000000e+01, 4.50000000e+01, 1.24267882e+02, 2.00000000e+00],\n [1.88000000e+02, 2.01000000e+02, 1.31988781e+02, 8.00000000e+00],\n [1.86000000e+02, 1.95000000e+02, 1.38267377e+02, 1.30000000e+01],\n [1.80000000e+02, 1.92000000e+02, 1.42225875e+02, 6.00000000e+00],\n [6.10000000e+01, 1.59000000e+02, 1.54773144e+02, 5.00000000e+00],\n [2.00000000e+02, 2.04000000e+02, 1.55967351e+02, 2.00000000e+01],\n [1.62000000e+02, 1.78000000e+02, 1.56069020e+02, 4.00000000e+00],\n [9.80000000e+01, 2.06000000e+02, 1.58875971e+02, 8.00000000e+00],\n [1.96000000e+02, 2.10000000e+02, 1.85849610e+02, 1.80000000e+01],\n [3.40000000e+01, 2.08000000e+02, 1.93383914e+02, 9.00000000e+00],\n [1.97000000e+02, 2.02000000e+02, 2.08133233e+02, 1.60000000e+01],\n [1.90000000e+02, 2.13000000e+02, 2.30571072e+02, 6.00000000e+00],\n [2.09000000e+02, 2.16000000e+02, 2.49917484e+02, 2.20000000e+01],\n [2.07000000e+02, 2.17000000e+02, 2.52297061e+02, 1.80000000e+01],\n [1.99000000e+02, 2.15000000e+02, 3.12353684e+02, 2.80000000e+01],\n [2.12000000e+02, 2.14000000e+02, 3.26867599e+02, 2.80000000e+01],\n [2.05000000e+02, 2.11000000e+02, 3.64191387e+02, 9.00000000e+00],\n [2.03000000e+02, 2.20000000e+02, 3.65288634e+02, 2.10000000e+01],\n [2.19000000e+02, 2.21000000e+02, 5.40817151e+02, 5.00000000e+01],\n [2.18000000e+02, 2.22000000e+02, 5.53975777e+02, 3.40000000e+01],\n [2.00000000e+01, 2.23000000e+02, 7.32101455e+02, 1.00000000e+01],\n [2.20000000e+01, 2.24000000e+02, 7.98352012e+02, 2.20000000e+01],\n [2.25000000e+02, 2.26000000e+02, 9.04829030e+02, 8.40000000e+01],\n [2.28000000e+02, 2.29000000e+02, 1.17807448e+03, 1.06000000e+02],\n [2.27000000e+02, 2.30000000e+02, 1.57835872e+03, 1.16000000e+02],\n [3.10000000e+01, 2.31000000e+02, 2.58674263e+03, 1.17000000e+02]])"},"metadata":{"tags":[]},"execution_count":36}],"execution_count":null},{"cell_type":"markdown","source":"Esencialmente, la agrupación jerárquica no requiere un número predeterminado de agrupaciones. Sin embargo, en algunas aplicaciones queremos una partición de clústeres disjuntos como en un clúster plano.\n\nEntonces podemos usar una línea de corte:","metadata":{"id":"nCcNQeLT8QqX","cell_id":"347d69504d204b77ae838ba206994787","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"from scipy.cluster.hierarchy import fcluster\nmax_d = 3\nclusters = fcluster(Z, max_d, criterion='distance')\nclusters","metadata":{"id":"A--9WDVT8VgW","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"e7822816fbc24a55950904f4e7cf5f3f","outputId":"3ed2c17f-5e89-4d06-cd43-45de79451492","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"array([ 51, 102, 95, 59, 83, 3, 46, 47, 38, 80, 99, 97, 4,\n 7, 84, 20, 30, 39, 40, 82, 9, 19, 29, 70, 31, 89,\n 56, 78, 55, 71, 32, 108, 76, 41, 50, 13, 66, 22, 44,\n 33, 73, 88, 90, 75, 81, 14, 77, 23, 58, 60, 87, 96,\n 12, 52, 64, 104, 28, 42, 48, 94, 103, 8, 5, 106, 26,\n 68, 65, 92, 72, 85, 35, 15, 16, 74, 88, 91, 37, 43,\n 100, 6, 2, 17, 69, 101, 37, 34, 67, 79, 45, 49, 55,\n 56, 66, 63, 36, 82, 86, 98, 107, 1, 1, 10, 11, 18,\n 19, 57, 93, 53, 54, 21, 61, 105, 24, 27, 62, 25, 24],\n dtype=int32)"},"metadata":{"tags":[]},"execution_count":37}],"execution_count":null},{"cell_type":"code","source":"# Determinar clusters\nfrom scipy.cluster.hierarchy import fcluster\nk = 5\nclusters = fcluster(Z, k, criterion='maxclust')\nclusters","metadata":{"id":"TivDWw-48YXq","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"6fea251984e24f74803ca0ae5c97aaf8","outputId":"5c405962-5cd1-4aa9-c6d4-0bdf3c66c821","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"array([3, 4, 4, 3, 4, 1, 3, 3, 3, 4, 4, 4, 1, 1, 4, 2, 3, 3, 3, 4, 1, 2,\n 2, 3, 3, 4, 3, 4, 3, 3, 3, 5, 4, 3, 3, 2, 3, 2, 3, 3, 3, 4, 4, 3,\n 4, 2, 4, 2, 3, 3, 4, 4, 2, 3, 3, 4, 2, 3, 3, 4, 4, 1, 1, 4, 2, 3,\n 3, 4, 3, 4, 3, 2, 2, 3, 4, 4, 3, 3, 4, 1, 1, 2, 3, 4, 3, 3, 3, 4,\n 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 4, 3, 3, 2,\n 3, 4, 2, 2, 3, 2, 2], dtype=int32)"},"metadata":{"tags":[]},"execution_count":38}],"execution_count":null},{"cell_type":"markdown","source":"# Dendrograma","metadata":{"id":"uWHVG65c8dKS","cell_id":"980081a5e4c547379dfc782af4e157ec","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"fig = pylab.figure(figsize=(18,50))\ndef llf(id):\n return '[%s %s %s]' % (pdf['manufact'][id], pdf['model'][id], int(float(pdf['type'][id])) )\n \ndendro = scipy.cluster.hierarchy.dendrogram(Z, leaf_label_func=llf, leaf_rotation=0, leaf_font_size =12, orientation = 'top')","metadata":{"id":"lLfC0Z5J8cLG","colab":{"height":1000,"base_uri":"https://localhost:8080/"},"cell_id":"d325c1753ed546a5ba196c7b5c281ce4","outputId":"107c96cd-bda3-43ea-eb08-9e8d24cfc9c2","deepnote_cell_type":"code"},"outputs":[{"output_type":"display_data","data":{"image/png":"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"},"metadata":{"tags":[],"needs_background":"light"}}],"execution_count":null},{"cell_type":"markdown","source":"# Usando scikit learn","metadata":{"id":"-XWdJ7UQ8szN","cell_id":"90c35b043b9d4fd8b9553fce58b2b13c","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"from scipy.spatial import distance_matrix \n\ndist_matrix = distance_matrix(feature_mtx,feature_mtx) \nprint(dist_matrix)","metadata":{"id":"pI1mVbgQ8uf6","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"161c4babd1ea4db29b226381bc72d633","outputId":"9325f3d5-1f26-4df0-f92e-4b0bbde73093","deepnote_cell_type":"code"},"outputs":[{"output_type":"stream","text":"[[ 0. 87.9180919 75.79845989 ... 16.63650252 28.07638866\n 26.83496095]\n [ 87.9180919 0. 17.0877409 ... 75.60022934 115.3194773\n 114.3440861 ]\n [ 75.79845989 17.0877409 0. ... 62.15304698 103.39586278\n 102.0832197 ]\n ...\n [ 16.63650252 75.60022934 62.15304698 ... 0. 43.35044747\n 41.45224917]\n [ 28.07638866 115.3194773 103.39586278 ... 43.35044747 0.\n 3.75905427]\n [ 26.83496095 114.3440861 102.0832197 ... 41.45224917 3.75905427\n 0. ]]\n","name":"stdout"}],"execution_count":null},{"cell_type":"markdown","source":"","metadata":{"id":"CE3aqptS8_jy","cell_id":"eedcd37ddb6a4790babef4fc658eab40","deepnote_cell_type":"markdown"}},{"cell_type":"code","source":"agglom = AgglomerativeClustering(n_clusters = 6, linkage = 'complete')\nagglom.fit(feature_mtx)\nagglom.labels_","metadata":{"id":"ior9Mdvl8_of","colab":{"base_uri":"https://localhost:8080/"},"cell_id":"dd75da32ec5f46ad8aa1d3f917db5981","outputId":"27afeed5-ea5d-4798-baa5-3d692190c61d","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/plain":"array([2, 0, 0, 3, 0, 1, 0, 0, 3, 0, 0, 0, 1, 1, 0, 2, 3, 3, 3, 0, 1, 2,\n 4, 3, 3, 0, 2, 0, 2, 3, 3, 5, 0, 3, 0, 3, 3, 2, 0, 3, 3, 0, 0, 3,\n 0, 3, 0, 2, 2, 2, 0, 0, 2, 2, 3, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 3,\n 3, 0, 3, 0, 3, 2, 2, 3, 0, 0, 3, 0, 0, 1, 1, 2, 3, 0, 3, 3, 3, 0,\n 0, 0, 2, 2, 3, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2,\n 3, 0, 2, 2, 3, 2, 2])"},"metadata":{"tags":[]},"execution_count":43}],"execution_count":null},{"cell_type":"code","source":"pdf['cluster_'] = agglom.labels_\npdf.head()","metadata":{"id":"ONLQJHt69CZT","colab":{"height":202,"base_uri":"https://localhost:8080/"},"cell_id":"afa63c0367e94deda607d2342b54844b","outputId":"770d2c33-63b6-4272-96e0-91fc9b91846c","deepnote_cell_type":"code"},"outputs":[{"output_type":"execute_result","data":{"text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
manufactmodelsalesresaletypepriceengine_shorsepowwheelbaswidthlengthcurb_wgtfuel_capmpglnsalespartitioncluster_
0AcuraIntegra16.91916.3600.021.501.8140.0101.267.3172.42.63913.228.02.8280.02
1AcuraTL39.38419.8750.028.403.2225.0108.170.3192.93.51717.225.03.6730.00
2AcuraRL8.58829.7250.042.003.5210.0114.671.4196.63.85018.022.02.1500.00
3AudiA420.39722.2550.023.991.8150.0102.668.2178.02.99816.427.03.0150.03
4AudiA618.78023.5550.033.952.8200.0108.776.1192.03.56118.522.02.9330.00
\n
","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":"
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horsepowengine_smpgprice
cluster_type
00.0210.5517243.42069023.64827630.449310
1.0206.4285714.06428618.50000028.727714
10.0294.7000004.38000021.60000057.864000
20.0121.2307691.93461529.11538514.720385
1.0133.7500002.22500022.75000015.856500
30.0160.8571432.68095224.85714319.822048
1.0154.2727272.93636420.90909121.199364
40.055.0000001.00000045.0000009.235000
50.0450.0000008.00000016.00000069.725000
\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":"\nCreated in deepnote.com \nCreated in Deepnote","metadata":{"created_in_deepnote_cell":true,"deepnote_cell_type":"markdown"}}],"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"6) Hierarchical clustering.ipynb","provenance":[],"collapsed_sections":[]},"deepnote":{},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"},"deepnote_notebook_id":"85fec40db0574429869e81b05e6ebd10","deepnote_execution_queue":[]}}