"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Introducción\n",
"\n",
"Python cuenta con una potente librería para generar gráficos [denominada matplotlib](https://matplotlib.org/index.html){:target=\"_blank\"}. \n",
"\n",
"Gracias a esta librería se pueden visualizar desde diferentes puntos de vista la estructura de los datos con los que estamos trabajando. Antes de entrar en detalle en la generacíon de gráficos, conviene exploner y aclarar dos conceptos básicos sobre los que se sustenta la generación de este tipo de objetos.\n",
"\n",
"Todo gráfico generado con matplotlib tiene dos zonas que son las a continuación se detallan.\n",
"\n",
"1.- figure. Es una instancia de un objeto [matplotlib.figure.Figure](https://matplotlib.org/api/figure_api.html#matplotlib.figure.Figure){:target=\"_blank\"} y **va a ser el contenedor** de los gráficos que se van a generar.\n",
"\n",
"2.- axes. Es una instancia de un objeto [matplotlib.axes.Axes](https://matplotlib.org/api/axes_api.html#matplotlib.axes.Axes){:target=\"_blank\"} y representa la zona donde realmente se va introducir todos los elementos que conforman el gráfico.\n",
"\n",
"Para entender mejor la anatomía con la que trabaja matplotlib [en este enlace](https://github.com/matplotlib/AnatomyOfMatplotlib){:target='_blank'} puedes encontrar una expliación clara y detallada sobre los conceptos que rodean a esta herramienta.\n",
"\n",
"A la hora de trabajar con matplotlib es importante distinguir entre **modo interactivo y modo no interactivo**. Cuando se inicia una nueva sesión con esta librería, por defecto se entra en modo no interactivo, lo cual significa que aunque se genere un gráfico, el mismo no se muestra hasta que se utilice la propiedad show().\n",
"\n",
"Para inciar una sesión con matplotlib, se puede hacer con la siguiente instrucción."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Como podemos ver en la instrucción anterior se importa \"matplotlib.pyplot\", que según la documentación de matplotlib contiene un conjunto de comandos inspirados MATLAB.\n",
"\n",
"Como ya se ha dicho antes, al inicio de una sesión se entra en modo no interactivo. Para comprobarlo se utiliza la siguiente instrucción:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt.isinteractive()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para cambiar al modo interactivo, se puede utilizar el siguiente comando:\n",
"\n",
"> plt.ion()\n",
"\n",
"o bien\n",
"\n",
"> %matplotlib inline\n",
"\n",
"Si quieres tener información sobre \" %matplotlib \" puedes ejecutar en Jupyter notebook la siguiente instrucción:\n",
"\n",
"> ?%matplotlib\n",
"\n",
"Si quieres cambiar al modo no interactivo de matplotlib se tendrá que ejecutar la siguiente instrucción:\n",
"\n",
"> plt.ioff()\n",
"\n",
"Si se quiere que los gráficos se sobreescriban, es decir generar uno para posteriormente poner otro encima, **se deberá utilizar el conmutador**\n",
"\n",
"> plt.hold()\n",
"\n",
"Para saber si este conmutador está activo o no, se utilizará el siguiente comando:\n",
"\n",
"> plt.ishold()\n",
"\n",
"Veamos un ejemplo sencillo sobre esto:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"D:\\programas\\Anaconda\\lib\\site-packages\\ipykernel_launcher.py:4: MatplotlibDeprecationWarning: pyplot.hold is deprecated.\n",
" Future behavior will be consistent with the long-time default:\n",
" plot commands add elements without first clearing the\n",
" Axes and/or Figure.\n",
" after removing the cwd from sys.path.\n",
"No handles with labels found to put in legend.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solapamiento gráficos?: True\n",
"Está en modo interactivo?: True\n"
]
},
{
"data": {
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O58Iyp0NEV2jX17XX9QuAntdB7gKoOOXaa7uBsooqnvk0h5vf/g5/X2Hmrwbyu5E9CPRzbGteV0pPiyPv4Am2HjSlmYbwvOS+cRq8OaRZ11T/MDYZHxGenpeDWzbfPLZHz1hJu8maRl4pE6H8BGz93PXXttAPu48y+rWV/Ofrndw+sCMLHxhCv47Oac3rSqNSYnVpxozeG8TzkntIlO7dveEDqyOxTLtWLXhoeCJf5h5iSc5Bq8M5X9ZM/bejNuVoqE5DITiq2bQBLq+s5qUluUz852rKyqv44M5LeWacc1vzulJMyyAu6WRKMw3lecm969XQrh+s/HuzHr3fMagTPWLDeObTHEpOV1odzo9q2g20vxQiOlsTg68fJI2DvMVwusSaGFxk8/7jjP2/VUxdup2JfeNZ/NBQBnXzvk3QxqTFseVgCVtMacZudiV3ERkpInkisk1EHq3j6y+LyAbbny0icszxoZ65GFzxKBTvho0fOe0y7s7f14c/ZaRy4HgZr3y+xepwfnQgEwpzXTe3/UJSJkLlKb21nxeqrKpm6tJtjP2/VRwuKeft2/rz0g29aBnkwplJLjSypjRjNvGwW73JXUR8ganAKCAJmCwiSbWPUUo9pJTqrZTqDfwDcO774YRroG0fWPlXqKq7fW9z0LdDayYP6MB/Vu8kZ1+x1eFomTPAxx+SJ1gbR4eBEBbnlbNmtheWcP0b3/DSkjyuTYrls4eGcs05bbC9TUxYEANMaaZB7Bm5DwC2KaXylVLlwDRg3EWOn4zeas95akbvx3brG6zN2O9G9KBVC38en51NVbXFN1erq3S9PXEEBFt8I8/HR7/AbPscTjnvjaQrVVcr/vP1DtJfW8mOw6W8NrkPU2/pS4SntKNoojFpcWw9ZEoz9rInubcD9tT6vMD22HlEpCPQGfiq6aHVI3EExPW2jd7dqObsYuHB/jwxpicb9hzjo+93WxtM/jIoOWjdjdRzpUyEqnLdCtjDFRw9yS3vfMczn25iYJdIPntoKGN7tbU6LJcaYSvNzDelGbvYk9zrmst2oSHiJGCWUqqqzhOJ3CUia0VkbWFhob0xXiAqgSt+B0d3QtaMpp3Lw43v3Y6BXSJ5cXEuhSdOWxdI5gy9gChhhHUx1NauH7Tq4NG9ZpRSTF+zm5GvrCSz4BgvTkzl33dcQpuW1vdcd7WYsCAu7axLM245BdjN2JPcC4D2tT6PB/Zd4NhJXKQko5R6SynVXynVPzo62v4oL6T7KIhNhRUvNevRu4jwxwkpnK6o5vkFm6wJorxU93RJGg/+bpJ4RHQ7gvxlUFpkdTQNduh4GT9/dy2/+ziLlHYtWfzgUG66pIPb9Fy3QnpaW7YdKmHLQe+eBeUI9iT3NUCCiHQWkQB0Ap937kEi0h1oDXzj2BAvomb0fiQfsme57LLuqGt0KL8a1pU5G/bx9bbDrg8gdwFUlEIvF7cbqE9KBlRXwubzfmTd2ryN+7jm5RV8ve0wT41J4sM7L3PLnuuuNjI5Fh+BBZkXGl8aNepN7kqpSmAKsATYDMxQSuWIyLMiUnsHhsnANOXq90vd06FNih69V9dZDWo27hnWlY6RwTwxJ5uyChf/W2ycBuEdoP1lrr1ufWLTILKbx5RmjpSWc++H67n/ox/oHBXCwgeG8LPB7ttz3dWiwwK5tHMkC0xppl52zXNXSi1USiUqpboqpZ63PfaUUmperWOeVkqdNwfe6Xx84IrfQtE2j/kFdpYgf1+eG5fCjsOlvLF8u+sufOKg7sKYdoP7bU4tom+s7lwFJ9y7s+DyLYVc+/IKPss5wCMjujPrVwPN5tB1SE+LY3thKXlm1sxFudlvYiP1uA5ikmD5X5r96H1oYjTX9WrL60u3s+NwqWsumj0LVLX1C5cuJDkDUHoLPjeVVVDML95dS2RIAHPvHcy9V3bzqNa8rjQypaY0Y2bNXIx3/PScGb1vhZzZVkdjuSfTexLo58OTc7Jd89Y1c7qelhrd3fnXaoyYHhCT7LYLmo6dLOfuD9YRFRrAR3ddRlJbF2xJ6MGiQgO5rIspzdTHO5I7QM9xEN3TVnt3840snCymZRCPjOzOqm2HmbfRyTeeDuXC/o3udyP1XCkTYM+3umOlG6muVvx6xkYOHi9rVguSmio9LY78wlJyD5jSzIV4T3L38YErHtF9TTbNsToay91yaUd6xYfz3PzNFJ9yYouGzOkgvrqu7c6SM/TfbvbO7p/Lt/NV7iGeSE+iT4fWVofjMUYkm9JMfbwnuYOeYx2VaKu9N+/Ru6+P8PyEVI6UnuavS/Kcc5Hqat1uoOtVEBrjnGs4SmRX3Y/IjdoAr952mL99lsd1vdpy28COVofjUaJCAxnYNdIsaLoI70ruPr4w9LdQuNnj5jU7Q0q7cG6/vBPvf7eLDXuc0F9l92oo3uO+N1LPlZwB+36AIhfOJLqAA8Vl3D9NT3f8c0Zqs16Y1FjpqW3JP1zK5v2mNFMX70ruoBetRCaY0bvNr69JJCYskMc+yaLS0ZtqZ06HgFDoke7Y8zpLTadKi0szFVXVTPlwPSfLq3jj1n6EBHrHphquNiK5Db4+woIss6CpLt6X3H18YegjcCgHcudbHY3lwoL8+cN1yWzaf5x3v9nluBNXlEHOXL1faYCHrJxs1V4vsrJ41syLi3JZu+soL2SkktAmzNJYPFlkaCADu0SyINOUZurifckd9M29iK5m9G4zKiWWK7tH8/fP8thf7KBNo7cshtPFnlOSqZGSoV/4D+VacvlFWft5Z9UObhvYkXG962yuajRAelocO4tOsmn/catDcTvemdx9/fTo/WAWbFlkdTSWExGeHZdCZbXi2U8d1FgsczqExkLnoY45n6skjQfxseTGan5hCY/MyqRX+1Y8nt7T5df3RiOSY3VpxsyaOY93JneA1BugdWdY9me9r2cz1z4imPuvTmBR9gG+ym3iptqlRbD1M0i9XpfBPElYG+g4SLeqcOHPxanyKu75YD1+vsLrt/Ql0M/D/t3cVERIAJd3NQua6uK9yd3XD4b+Ru/p6aX7aDbUL4Z0oVtMKE/OyeFUeRPaNOR8ojstuvvCpQtJmah7ER3IcsnllFI8PieLvIMneOWm3rRr1cIl120u0lPj2FV0kpx9pjRTm/cmd9D14FYdzejdJsDPh+fHp7D32Cle+2pr40+UOUP38mmT4rjgXKnnWPDxc1mjuWlr9vDJ+r3cd1UCw7q7+XoAD3RtTWnG7K96Fu9O7r7+evS+f4MuIxhc2iWS6/vF8/aK/MbtRXkkHwq+1y+cnjo3OyQSugzT70Cc/KKfvbeYP8zLYUhCFA9cneDUazVXZ0ozZtbMWbw7uQP0mqy3WjOj9zMeG92T0CA/Hp+dRXVDN9XOnAGIvqfhyVIm6g3W965z2iWKT1bwq/fXERkSwKuT+uBrerI7zZi0OHYfMaWZ2rw/ufv6w5CHYd962PaF1dG4hYiQAB4b1ZM1O48ya32B/U9USs+S6TwEwj18Gl+PdPANcFppRjcE22AagrnItUm6NGM2z/6RXcldREaKSJ6IbBOROjfkEJEbRWSTiOSIyIeODbOJet0M4e3N6L2W6/vFc0mn1rywcDNHSsvte1LBWl2W8bS57XUJCodu1+jVqk5YC/HP5dv5MvcQj4/uSV/TEMzpWocEMKhbFAuy9pnSjE29yV1EfIGpwCggCZgsIknnHJMA/B4YpJRKBh50QqyN5xcAQ34Ne9fC9q+sjsYt+PgIfxyfyomySl5YuNm+J2VOB78gfUPSG6RkwIn9sNux2/6u3v5jQ7DbL+/k0HMbFzYmNY49R06RvdeUZsC+kfsAYJtSKl8pVQ5MA8adc8wvgKlKqaMASqlDjg3TAXrfAi3bwfIXzejdpntsGHcO6cLMdQV8l1908YMry3UJo/toCPKSzSQSR4JfC4eWZg4Ul53Z//QF0xDMpa5NboOfjzDf9JoB7Evu7YDaOxwU2B6rLRFIFJGvReRbERnpqAAdxi8QBj8Ee76D/GVWR+M2Hrg6gfjWLXhiTjbllRcpT2z/Ek4d8dy57XUJDIXuI/X2e1WVTT5dRVU19320ntLTVfzz1n6EmoZgLtUq2FaaMbNmAPuSe11Dj3P/5fyABGAYMBl4R0RanXcikbtEZK2IrC0sLGxorE3X9zYIa2tG77W0CPDl2XHJbD1Uwjur8i984MZpEBype7d7k+QMOHkYdq5o8qn+sjiXNTuP8ueJqSSahmCWSE+Lo+DoKbL2FlsdiuXsSe4FQPtan8cD577vKQDmKqUqlFI7gDx0sj+LUuotpVR/pVT/6OjoxsbceDWj993fwI6m/zJ7i6t6tGFkciyvfbmVPUdOnn9AWTHkLdLTB339XR+gMyVcAwFhTe4UuTh7P2+v3MFPLjMNwaw0IikWf1/TawbsS+5rgAQR6SwiAcAk4NydMOYAVwKISBS6THORYaCF+t4GYXF69G6c8YexSfiK8NTcOjbV3jQXqk5DmheVZGr4t9DTIjfP0/cVGmHH4VIemakbgj0xxjQEs1J4sD+DukUx35Rm6k/uSqlKYAqwBNgMzFBK5YjIsyJSM21iCVAkIpuApcAjSql67tBZxD8IBj0Iu76GnausjsZtxIW34KFrElmaV8ji7ANnfzFzhm6h3K6vNcE5W0qGfnfSiJlUp8qruPv9dfj6ClNv7mMagrmB9NQ49h47RWZB8y7N2DXPXSm1UCmVqJTqqpR63vbYU0qpebaPlVLq10qpJKVUqlJqmjODbrJ+t0NoGz3v3Tjjjss7kRTXkqc/zaHktO0G47E9sHOlvpHqrTM/ulwJQa0a3AZYKcUTc7LPNASLb+0hm5Z4uWtrSjPNvNeM969QrYt/Cxj0gE5au1ZbHY3b8PP14fkJKRw6cZq/f7ZFP5g1U//t6e0GLsYvQO8olbsAKuzfzGTamj18vL7ANARzM+HB/gw2s2aaaXIH6PdTCIkxo/dz9OnQmlsu7cB/V+8gu+CYXrjU/jKI6Gx1aM6VMhHKS2Dr53YdbhqCubf0tLbsPXaKjc24NNN8k3tAMAy6H3Ysh93fWh2NW3lkRA8iQgJ4Z9ZcKMyFtButDsn5Og2BkGi7FjQVn6zg7g90Q7BXbuptGoK5oWuS2thmzTTfBU3NN7kD9P8ZBEeZ0fs5wlv48+SYJJIPL6ZK/CB5gtUhOZ+vHySNgy1L4HTJBQ+rrlY8PHMD+4+V8X839yUyNNCFQRr2Cm/hz5CEaBZmHWi2pZnmndwDQvToPX8p7Pne6mjcytjUGK4P+JZl1X04VNVMbhSmTITKUxfdueuNFdv5YvMhHk/vSb+OpiGYO6uZNbNhzzGrQ7FE807uAJfcqVdemnnvZ5EdK2hdfYTZVUP443w7G4t5uvaX6RXMFyjNrN5+mL8uySM9LY47TEMwtzc8qQ0Bvj7NdkGTSe4BIXD5fbrXe4HzNm7wOJnTISic7kMzmLdxHyu3WtAuwtV8fHQJatsXcOrs0d7B4z82BHtxYpppCOYBdGkmioVZ+xu+KY0XMMkd9Oi9RWtYbmrvgK45b/4UksbziyuT6BwVwpNzsimraMKm2p4iZSJUletpkTYVVdVM+dA0BPNE6Wlx7CsuY0NB8yvNmOQOEBgGA6fofVaduO2ax8hbCBUnodckgvx9eW5cCjuLTvL6su1WR+Z87frqTdVrlWZMQzDP1ZxLMya51xhwl16luPwvVkdivY3TILyDrkEDgxOiGNe7LW8s2872wgvPJPEKIrodQf4yKC060xDs1ss6mIZgHqhlkD9DE5tnacYk9xpBLfXofcti2PeD1dFY58RBPXso7UZdg7Z5PL0ngf4+PDmnjsZi3iY5A1QVh9fM1A3B4sN5ckxS/c8z3FJ6Whz7i8v4oZnNmjHJvbZL79J7azbn0Xv2LFDV5+2TGhMWxO9G9mD19iLmbvDyhSGxqVRHJFCw6gPdEOyWvqYhmAcb3rMNAX7NrzRjknttQeFw2b265rx/o9XRWCNzOrTtA9GJ533p5gEd6N2+FX9csInikxUWBOcaCvjCdxBpFVlMHdvWNATzcGFB/gxNiG52pRmT3M916S8hsJmO3g/l6he1c0btNXx8hOcnpHCktJy/LMl1cXBwSYQsAAAgAElEQVSuM33NHl4sSMZHFIPKTFtobzAmLY4Dx8v4Yc9Rq0NxGZPcz9WiFVz2K8idDweyrY7GtTKng/jq6YAXkNw2nJ8O6syH3+9m/W7v+0XJ3lvMU/NyaNutF6pNcoPbABvu6eqeMQT4+TC/GZVmTHKvy2V3Q2DL5rVqtbpat/ftehWEXrx97UPXJNImLIjHPsmisuoim2p7mHMbgknKRL2h+rE99T/ZcGthQf5ckdi8SjN2JXcRGSkieSKyTUQerePrd4hIoYhssP250/GhulCL1ro8s3keHMyxOhrX2L0aivfoTTnqERrox9Njk8g9cIL/rt7p/NhcoM6GYMkZ+os5s60NznCIMWlxHDx+2ivfcdal3uQuIr7AVGAUkARMFpG65oVNV0r1tv15x8Fxut5l9+iNk5tL7X3jNAgIhe6j7Tp8RHIsV/eI4e+fb2HfMfs3uHBXb67I54vNh3hsdK2GYBGdoW1fu9oAG+7vatusmeZSmrFn5D4A2KaUyldKlQPTgHHODcsNBEfoqZGb5sIhL2+cVVGmv8+e1+k+93YQEZ4em0y1UjzzqWe/u/lmexEvLcklPS2Onw7qdPYXUzJg/wYoagarc71caKAfwxKjWZTdPEoz9iT3dkDtomOB7bFzTRSRTBGZJSLt6zqRiNwlImtFZG1hoQc0oho4RTcWW/GS1ZE415bFcPr4BWfJXEj7iGAeuDqRJTkH+WLTQScF51yHjpdx30c/0OlCDcFqetmbG6teId1WmlnXDEoz9iT3utrfnfuy9ynQSSmVBnwBvFvXiZRSbyml+iul+kdHRzcsUisER8CAX0D2J1CYZ3U0zpM5HcLioPPQBj/1ziGdSWwTyh/m5XCyvNIJwTmPbgj2A6WnK3njQg3BwuOhw0D9M2B4vKt7tiGwmSxosie5FwC1R+LxwFlLFJVSRUqp07ZP3wb6OSY8NzBwit5Q21tH76VFumFa6vXg0/BVmP6+Pjw/IZW9x07x6pdbnRCg87y0JI/vdx7hhYx6GoIlZ8ChTd5fnmsGQgP9GNa9ecyasSe5rwESRKSziAQAk4B5tQ8Qkbhan44FvOe3ICRKtwTO/hgOe1byskvOJ1Bd2eCSTG2XdIrgpv7t+dfKHeQeOO7A4JxncfYB3lqRz62XdWB8n3oagiWNA/Exo3cvkZ7WlkMnTrN2l3eXZupN7kqpSmAKsASdtGcopXJE5FkRGWs77H4RyRGRjcD9wB3OCtgSl98PfkHeOXrPnAExyRCb2qTTPDqqB2FBfjwxO9vtR0Q7DpfyyMyN9jcEC2sDnQbrF3hvb5rWDFzdI8ZWmvHuHkl2zXNXSi1USiUqpboqpZ63PfaUUmqe7ePfK6WSlVK9lFJXKqW8a216aLTeTDtrJhzeZnU0jlO0HQq+1x0gm6h1SACPje7J2l1HmbnOfRf9lFVUcff76/DxaWBDsJSJcGQ7HMh0boCG04UE+nFl9xgWZh+gys0HIk1hVqjaa9AD4BsIK/9qdSSOkzUTEEi9wSGnu75fPAM6R/DColyKSk7X/wQLPDknm9wDJ3jlpt4NawjWcyz4+Jk5714iPS2OwhOnWbvziNWhOI1J7vYKjdGj98wZ3jHnWSm9cKnzEAh3zCYUIsLz41MoKavkTwvd783b9DW7mbmugPuu6saVPS7eYuE8wRHQ5UrInm1KM17gqh4xBPn7sCDLe2fNmOTeEIMeAF9/WPl3qyNpuoK1cHQHpNXfbqAhEtqEcdfQLny8voBvthc59NxNkb23mCfn5jC4WxQPDj+/nbFdUiZC8W79b2d4tDOlmSzvLc2Y5N4QYW2g309h40dwZIfV0TRN5nR9k7jndQ4/9X1XJdA+ogVPzMmivNL6xmLFpyq454P1RAQH8Oqk3vj61LV0ww49RoNvgCnNeIn0tDgOl5xmjZeWZkxyb6hBD+ja68q/WR1J41WW6wTVfbTeXtDBWgT48uzYFLYXlvL2ynyHn78hqqsVD8/YyL5jp5h6i60hWGMFhUPCtbqRWHWV44I0LHGmNOOlC5pMcm+olnHQ73Y9ej+6y+poGmf7l3DqiF0dIBvryh4xjE6N5bUvt7K76KTTrlMf3RDs4NkNwZoiJQNKDsDub5p+LsNSwQF+XNUjhkVeOmvGJPfGGPSgXtTiqaP3jdMgOEr3bneip8Yk4+cjPDnXmk21zzQES62jIVhjJY4E/2BTmvES6altOVxymu93eF9pxiT3xghvB31vgw0fwLHdVkfTMGXFkLdI3xz09XfqpWLDg3j42u4s31LIwqwDTr3Wuc40BIsM4c8TU89vCNZYASE6wW+aC1We1UvHON+VPaJp4e/LgizvW9BkkntjDX4IEM+bObNpLlSdblK7gYa4bWBHktu25JlPczhR5ppNtSurqpnykW4I9s9b+xEW5OAXsZQMOFkEO5Y79ryGy9WUZhZ7YWnGJPfGCo+Hvj+BH96H4gKro7Ff5gyI7Abt+rrkcn6+PvxpQiqFJaf522dbXHLNl5bk8f2OI/wpI4XusRdpCNZY3a7RG7mYNsBNV3na8nUDetZMOd/tcJ+pu45gkntTDP61/nvVy9bGYa9je2DnSj1qd1SZwg692rfiJ5d15L1vdpJVUOzUay3JOcCbK/K55dIOTOgT75yL+AdBzzGw+VOdnIzGKVgHf02ET++3NIwru8fo0oyXzZoxyb0pWrWH3jfD+vegeK/V0dQva6b+20HtBhriNyO6ExkayONzspz29nfn4VJ+M2MjafHhPHWdHQ3BmiI5Q9+/2P6Vc6/jrQrWwv/GQ1W5/v354X3LQmkR4MtVPXVpxps2fDfJvamGPAyqGr5+xepILk4pvXCp/WV6b1AXaxnkz5NjksgsKOb9bx0/hbSsooq7P1ivG4Ld3ICGYI3VZZjeSN20AW64PWvgvfEQHAn3fKs3iVnwMBzItiykMalxFJWWe9WsGZPcm6p1R+g1Gda9C8fd+G3dgUwozIVerrmRWpfr0uIYkhDFS0vyOHi8zKHnfnJONpv3H+eVm3rTPqIBDcEayy9Ar+7NWwgVnr9BuMvs+R7+N0Hvk3DHAv37M/FfeoHYzNvh9AlLwhrWPYbgAF/me1GvGZPcHWHIw3rDC3cevWfOAB9/SBpvWQgiwnPjUiivqua5+Zscdt4Za/Y0viFYU6RMhPISvZOVUb/d3+nEHhoDP134Y8O60Bi4/t9wJB8+fcCSG6wtAnzPzJrxltKMXcldREaKSJ6IbBORRy9y3PUiokSkv+NC9AARnW2j9//CCdfO57ZLVaWutyeO0N0NLdQpKoQpV3ZjfuZ+lm9p+ibpOfuKeXJuNoO6RTa+IVhjdRoCITFmQZM9dn8L72dAaBu4Yz60bHv21zsNhque0P+Wa/9lSYhj0uI4UlrOd15Smqk3uYuILzAVGAUkAZNF5Ly7VSISht6F6TtHB+kRhj4MVRXw9WtWR3K+Hcuh5KDL5rbX55dXdKFLVAhPzc2mrKLxPVqKT1Vw9/vraR0cwKuT+jS+IVhj+fjqLfi2LLGsnOARdn0D/8uAsFhdijk3sdcY9JCeZrr497B3vWtjpFZpxktmzdgzch8AbFNK5SulyoFpwLg6jnsO+Avg2GKqp4joopPn2n9DySGrozlb5nRd00wcYXUkAAT6+fLH8SnsKjrJ1KWN29lKKcVvZtY0BOtDVFMagjVFykSoLIO8xdZc393tWg3vT9QJ/Y4FujfThfj4QMZb+t3QzNvhlGv3OA3y9+Xqnm1YkuMdpRl7kns7oPa+aQW2x84QkT5Ae6XUfAfG5nmG/kav/vz6Vasj+dHpEj0fO3kC+FmUAOtwebcoJvRpxxvLt7PtUEmDn//minw+33SQ34/uSb+OFpaa2l8KYW1NaaYuO1fB+9fr2vod8/XIvT7BEXDDf+D4Pphzr8vr7+mpujTzbb7nl2bsSe51vdc98y8uIj7Ay8DD9Z5I5C4RWSsiawsLm15vdTuRXfUc8jX/ghI3+f5yF0DFSbcpydT22OietPD35Yk5WQ1qLPZtfhF/Wawbgv3MUQ3BGsvHR7cj2PaFy0eabm3HSvjgBr2S+3Y7E3uN9gPgmmchbwF8M9V5MdZhWPdoQgK8o9eMPcm9AGhf6/N4oPZ3HgakAMtEZCdwGTCvrpuqSqm3lFL9lVL9o6OjGx+1Oxv6iB69r3aT2nvmdGjVQc9vdzPRYYE8Oqon3+YfYfYP9i0CO3S8jCkfOqEhWFOkZEB1hX4hNWDHCvjwRv1zd8d8vclNQ112D/QYA1/8Qc+ycZEgf1+GJ7VhcfYBKjy8NGNPcl8DJIhIZxEJACYB82q+qJQqVkpFKaU6KaU6Ad8CY5VSzXMvsqgEXYdd8w6UHrY2lhMHIH8ppN6oR5huaNIl7enToRXPL9jMsZPlFz3W6Q3BGqttX2jdyZRmAPKXwwc3QquOcPuneppjY4jAuKl65D/rp1Dqur4vo1PjOHqygm/zPbvXTL2/8UqpSmAKsATYDMxQSuWIyLMiMtbZAXqkoY/ohS2r/2FtHNkf69WzbliSqeHjIzw/PpVjpyp4cXHeRY996TPdEOz5CU5qCNZYIrodQf5y61/QrZS/DD68SU8Nbkpir9GiFdzwLpQWwuy7oNo1I+krEm2lGQ+fNWPXcE4ptVAplaiU6qqUet722FNKqXl1HDus2Y7aa0R312/Vv3/bpSOO82ROh7Z9INrF878bKKltS342qBMffb+bdbvqvpH1Wc4B3lyez82XdiCjr5MagjVFykRQVbqlcnO0faktsXexJXYHlV3b9oaRf9b3NFa5pr12kL8v1yS1YXGOZ5dm3PO9ujcY+oi+kfmta28InXEoF/ZvhDTnbaXnSA8OT6RteBCPz84+7xdqV1EpD8/cSGq7cJ4a4+SGYI3VJhmiEvX+qs3Nti/ho0m6lfTt83RrAUfq/zNIuR6WPq9v1LrA6NQ4jp2s4JvtnluaMcndWWJ66gUu370FJy2YVpU5HcRXv4PwACGBfjw9NpncAyf4z9c7zjxeVlHFr95fj48Ir9/SlyB/JzcEaywRPXrfucq9eww52rYv4KPJEJkAtzkhsYP+t73uFYjoCrN+BicOOv4a5xiaGE1ooJ9Hl2ZMcnemK34L5Sfg29dde93qat1uoOtVTa97utC1ybEM79mGlz/fyt5juhnXU3N1Q7CXb+rlmoZgTZGcASjYNMfqSFxj6xfw0c267Hf7PAiJdN61AsPgxnf1SuCPfw7VjV/ZbI+a0sySTZ5bmjHJ3ZnaJEPPsfDdm66dA717NRTvgV6eUZKp7emxuuzy9LwcZqzZw4y1BUy5shtX9WjEdDpXi06ENqnNow3w1s9h2s36/tJt81zTs6hNMqT/TW84s+wFp1+upjSz2kNLMya5O9sVv4PTx+Hbf7rumhunQUAodB/tums6SHzrYB4cnsDnmw7y2OwsBnWL5KFr3PuG8FlSMqDge8/bOL0htnymE3tMD7htrmub0fW5BXrfCite0u8cnGhIQhRhgX4syPTMBU0muTtbbIpejPHtG3DqmPOvV1GmZ2z0HAsBbl7GuICfDe5Mj9gwokIDrWkI1hTJE/Tf3npjNW8xTL8FYpLgJ3Os6TI6+iWISYZPfuHU/YvPlGZyDnpkacYkd1e44ndwuliXZ5xtyyL9TiHtRudfy0n8fX2YdfflLHlwqHUNwRorojO06+edC5ryFsH0W3V55DaLEjvoQcuN7+ot+mb9THdjdZLRqXEUn6rg622et37BJHdXiEuD7ul6WmSZczeIJnMGhMXprcs8WGigH+HBbrICtaGSM/Q01KLtVkfiOLkLYfpPIDZVj9hbtLY2nqgEGPsa7PkOvnzGaZcZklhTmvG8WTMmubvKFY/oxP7dW867RmmR3hUo9Xrda9ywRk1pxlturOYugBm36UHKT2brlaPuIGUiXHKnXgnupL4+gX6+XJOs2wCXV3pWacYkd1dp2wcSR8I3/wdlx51zjZxP9HZ/HrJwyWuFt4MOl3tHaWbzp7bE3su9EnuNEX+CuN4w5244utMpl0hPjeN4WaXHlWZMcnelK34HZcfgeyeN3jNn6BtNsSnOOb9hv5QMKNwMBx23V6zLbZoHM+/QA5OffKI3fHE3foFww391E/KZd0DlaYdfYnBCFGFBfizwsM2zTXJ3pXZ9IeFaPXp39LZsRdv1FLxe7tskrFlJGgfio99NeaJNc3U3xrZ94VY3Tew1IjrD+Ndh3w+w5HGHnz7Qz5drk2I9rjRjkrurXfGoXtD0/duOPW/WTEB0Dw7DeqExegPt7I9dvptQk+XMgZk/1bN+bv0YglpaHVH9eo6BgVNgzdtOKYelp8VyoqySVdvcZBMeO5jk7mrx/aDbcNvoveHby9VJKb1wqfMQXe813EPKRDiSr2fOeIqc2Xp6YfwlnpPYawx/GuIHwLz74XDj9ua9kMHdonVpJvOAQ8/rTCa5W+GK38HJIlj7L8ecr2AtHN1hbqS6m57XgY+f59xYzf4YZv1cb3N36yzdz8WT+Prr/Vd9A/RN4IpTDjt1gJ8PI5Jj+WzTAU5XOrevjaOY5G6F9gOgy5Xw9WtQXtr082VOA78gnUwM9xEcoZu35cx2/9JM1iz4+E694fctHpjYa4THQ8bbcCgHFj7i0FOnp8bp0sxWz5g1Y1dyF5GRIpInIttE5NE6vv4rEckSkQ0iskpE3LTpthsZ9iicPAxr/92081SW6/nUPdI96y10c5EyUTdxK1hjdSQXljlTL+XvMBBumQmBoVZH1DQJw2HIb+CH/8GGDx122kHdomjpQbNm6k3uIuILTAVGAUnA5DqS94dKqVSlVG/gL4BrtkzxZB0ug85XwNevQvnJxp9n2xdw6ohbb6XXrHUfDb6B7luayZyht7DrOMg7EnuNYb/XN7Tn/9ph01FrSjOf5xz0iNKMPSP3AcA2pVS+UqocmAaMq32AUqr2qpwQ9KxToz7DHtX7Q677T+PPkTkdgqP023/D/QS1hIRr9AwUJ/cgb7CN02H2L3Viv3k6BIRYHZHj+PrBxHd0eWnm7Q6bvDA6LY4TpytZucX9SzP2JPd2wJ5anxfYHjuLiNwrItvRI/f7HROel+t4uR5dfP1q427+lBXrZk4pE/XNJMM9pUyEkgOwa7XVkfxo4zSd2DsNhptneFdirxEWC9f/C4q2wfwHHXLfY1DXKMJb+LPQA0oz9iT3uvqtnvevpJSaqpTqCvwOeKLOE4ncJSJrRWRtYaHnzBd1qmGPQslBWPduw5+7aS5UnTYLl9xd4gjwD3afBU0bPoTZv9LN5SZP99jW0HbpPBSGPabXgTTlHbKNLs204fNNBymrcLN3YuewJ7kXAO1rfR4PXKx7/TRgfF1fUEq9pZTqr5TqHx3toN3RPV2nwdBxMHz9iu7F3hCZM/SmxG37Oic2wzECQqD7KNuLsfPa09rlhw9gzj3Q5QpbKcaLE3uNIQ9D16th0e9g34Ymn250qq004+azZuxJ7muABBHpLCIBwCRgXu0DRCSh1qfpwFbHhdgMXPFbOLEf1r9n/3OO7dHbjaVN0hsIG+4tOUOvbdix3LoY1v8P5t4LXYbB5Gng38K6WFzJxwcy3tL3pmbe3uS224O6eUZppt7krpSqBKYAS4DNwAylVI6IPCsiY22HTRGRHBHZAPwauN1pEXujzkP1NLRVL9vf+Chrpv471bQb8AjdhkNgS8i2aIem9e/BvPv0jffJHzWfxF4jJEovcDq2R7/ANaH+7u/rw8jkWLcvzdg1z10ptVAplaiU6qqUet722FNKqXm2jx9QSiUrpXorpa5USuU4M2ivI6JXrZ7YZ9/oXSk9S6b9ZbppkuH+/IP0doubP3VK58KLWveuTuzdroZJHza/xF6jw2VwzTP6/+C7N5p0qtFpcZScrmTFFve9d2hWqLqLLsP06kB7Ru8HMqEw19xI9TQpGXq7xe1fue6aa/8Dn94P3a6Bmz7QLzLN2cApele0z56APY1fWHZ510haBbt3acYkd3dRM3o/vhd+eP/ix26crvtnJNV539pwV12G6e3pXLWgae2/9RTAhGthkknsgP49Gz8VWrbVLY1PHmnUaTyhNGOSuzvpepXuxrfqZd1WoC5VlZA9S//CWrVBsdE4vv7Qc6zej7Qpq5LtseYdmP8QJIyAm97Xm1oYWovWcMO7egry7F9CdeN6tI9OjaO0vIrlblqaMcndnYjofu/Fe2DjBXpi7FiufyhNuwHPlDIRKkr1XrfO8v3bsOBhSBwFN/3PJPa6tOurt+jb+hmsfrVRpxjYNZLWblyaMcnd3XS7Ws9bX/m3uudEZ07Xu+IkjnB9bEbTdRoMITHOK818/zYs/I3uaXPjeyaxX8wld+rNzL98DnZ+3eCn+/v6MDIlli/ctDRjkru7EdGrVo/tho0fnf210yX6Tn/yBPNL66l8fCF5vB4xOnqrxe/etCX2dF128Atw7Pm9jQhc9xq07qQ3KCk51OBT1JRmluW5X2nGJHd3lHCt3pR4xV/PHr3nLoCKk2ZTDk+XMhEqy3RfIEf59p+w6Ld6uuUN/zWJ3V5BLeHGd/XG9R/f2eDmbgO7uG9pxiR3d1Qzc+bYLl2GqZE5HVp10FMmDc8VPwBaxjuuNPPN67D4Ub1Zi0nsDRebCqNf0vezlv+lQU/18/VhZEocX2x2v9KMSe7uKnEkxPWyjd4r4cQByF+qb6T6mP82j+bjo0sz277Um6U3xTdTYcnv9Syc6/9juoM2Vp+fQK+bYfmLDV6HkJ4ax8nyKpblNbys40wmS7irmtH70R2QNUOP8lQ1pN5odWSGI6RMhOoK2Dy/8edY/Q9Y8phe73D9v01ibwoRSP8rRPeAj38Bxy/WG/Fsl3WJICIkgAVZ7rV5tknu7qz7aGiTCitegg0f6Tp8dKLVURmO0LaPvpHX2DbAX7+mV1kmT9CbUpjE3nQBIbr+XnFK32CtqrTraX62WTNfbj7IqXL3Kc2Y5O7ORHTHyCP5cDDL3Ej1JiJ69J6/HEoaONNi1Svw+ZO602SGSewOFd0drnsVdn8DXz1n99PcsTRjkru76zEGYpJBfHUyMLxHykRQVbB5rv3PWfl3+OIP+rkZb+vt5AzHSrsB+v1U77GQt9iup1zaOYLIkAC32jzbJHd35+MDGW/CxLch1Gxw4lVikiCqu/1tgFf+Db58BlJvgAlvmcTuTCP/rGfRzP6lXnNSjx9LM4fcpjRjkrsniE01o3ZvVFOa2fU1HK9nxLfiJfjyWX1DfcKbJrE7m3+QXgimqmHmHRfu9VRLemocpyqqWOompRmT3A3DSikZgIJNcy58zPKX4Ks/6nsuE97Qq1wN54vsCuP+D/au0/c46jGgcwRRoe5TmrEruYvISBHJE5FtIvJoHV//tYhsEpFMEflSRDo6PlTD8EJRCfqd2YUWNC17EZb+EXpNhvGvm8Tuaknj4NK79eYeORd5AebH0sxXmw9xsty+mTbOVG9yFxFfYCowCkgCJotI0jmH/QD0V0qlAbOAhi3zMozmLGUiFKyBo7vOfnzpC7DsT3pxzbipJrFb5ZpnoV1/mDsFirZf9NDRNaWZXOt7zdgzch8AbFNK5SulyoFpwLjaByilliqlahpUfwvEOzZMw/BiyRP03zm2G6tKwdI/wfI/Q+9bdWnAJHbr+AXotg6+fnqD7YpTFzz00s6RRIUGuEWvGXuSeztgT63PC2yPXcjPAQd2RDIML9e6kx4ZZn9cK7G/CH1uhbH/MIndHbRqr29kH8jSfXwuwNdHGJUSx5e5By0vzdiT3KWOx+rcOlxEbgX6Ay9d4Ot3ichaEVlbWGj92xbDcBspGXpv3LlTYMVfoO9tcN0/TB8hd5I4AgY/BOv+q7e6vIDRqXGUVVTzVa61s2bs+ckpANrX+jweOK/xgogMBx4Hxiql6tzhWSn1llKqv1Kqf3S0mbNtGGckTwAENrwPfW+HMa+axO6OrnwCOlyu96Y9lFvnIXrWTKDlpRl7fnrWAAki0llEAoBJwLzaB4hIH+BNdGJ3j0mehuFJWraFAXfBoAdgzCsmsbsrXz/dpM0/WNffy0vPP8RHGJ0ay1e5hyg9bV1ppt6fIKVUJTAFWAJsBmYopXJE5FkRGWs77CUgFJgpIhtEZN4FTmcYxoWM/ouemWESu3trGaebtRXmwfxf6/sk53CH0oxdy9yUUguBhec89lStj4c7OC7DMAz31fVKvR3msheg4+XQ7/azvnxJpwiiw3Rp5rpebS0J0QwRDMMwGmPoI9DlSlj4COzPPOtLvj7C6BRrSzMmuRuGYTSGj6/uzBkcoevvZcfP+nJ6WltOV1bzpUWlGZPcDcMwGis0Wt9gPboL5t13Vv29f8fWxIQFsjDTmlkzJrkbhmE0RcfL4eqndPO3798+87CPjzA6NY6leYcosaA0Y5K7YRhGU11+v97UfsljuoukTXpanC7NbD7o8pBMcjcMw2gqHx8Y/08Ii4UZd8CpowD069CaNi2tWdBkkrthGIYjBEfoBmMn9sPsu0EpfGy9ZpbmFbq8NGOSu2EYhqPE94dr/whbFsHqfwAwJi2OcgtKMya5G4ZhONKlv4SeY+GLp2HXN/Tt0JrYlkEscPGsGZPcDcMwHElE9+Bv3RFm/RSfU0WMSo1l2ZZCTpRVuCwMk9wNwzAcLShcb7B98gh88gvGpMTYSjOuW9BkkrthGIYzxKXpZnDbv6LPrn/r0owLZ82Y5G4YhuEsfW+HtJvwWfYC93YsYHme60ozJrkbhmE4iwik/x2iEpm051nCq4r4wkWzZkxyNwzDcKbAULjxPfyqTvJmi9dZtHGvSy5rkrthGIazxfRAxrxMX5VDn+2vc9wFpRm7kruIjBSRPBHZJiLnbf0tIkNFZL2IVIrI9Y4P0zAMw8P1msThxEnc7TuHrKWznH65epO7iPgCU4FRQBIwWUSSzjlsN3AH8J/uhqcAAAPdSURBVKGjAzQMw/AWkde/zLbwy2nbJsrp17Jnm70BwDalVD6AiEwDxgGbag5QSu20fa3aCTEahmF4BQkIpttDi1xyLXvKMu2APbU+L7A91mAicpeIrBWRtYWFhY05hWEYhmEHe5K71PHY+dt920Ep9ZZSqr9Sqn90dHRjTmEYhmHYwZ7kXgC0r/V5PLDPOeEYhmEYjmBPcl8DJIhIZxEJACYB85wblmEYhtEU9SZ3pVQlMAVYAmwGZiilckTkWREZCyAil4hIAXAD8KaI5DgzaMMwDOPi7Jktg1JqIbDwnMeeqvXxGnS5xjAMw3ADZoWqYRiGFzLJ3TAMwwuJUo2a1dj0C4sUArsa+fQo4LADw/EE5ntuHsz33Dw05XvuqJSqdy65Zcm9KURkrVKqv9VxuJL5npsH8z03D674nk1ZxjAMwwuZ5G4YhuGFPDW5v2V1ABYw33PzYL7n5sHp37NH1twNwzCMi/PUkbthGIZxER6X3OvbFcrbiMi/ReSQiGRbHYuriEh7EVkqIptFJEdEHrA6JmcTkSAR+V5ENtq+52esjskVRMRXRH4QkflWx+IKIrJTRLJEZIOIrHXqtTypLGPbFWoLcA26W+UaYLJSatNFn+jBRGQoUAK8p5RKsToeVxCROCBOKbVeRMKAdcB4L/9/FiBEKVUiIv7AKuABpdS3FofmVCLya6A/0FIpNcbqeJxNRHYC/ZVSTp/X72kj9zO7QimlyoGaXaG8llJqBXDE6jhcSSm1Xym13vbxCXTDukZtEOMplFZi+9Tf9sdzRl6NICLxQDrwjtWxeCNPS+4O2xXK8Awi0gnoA3xnbSTOZytRbAAOAZ8rpbz9e34F+C3QnLbnVMBnIrJORO5y5oU8Lbk7bFcow/2JSCjwMfCgUuq41fE4m1KqSinVG91hdYCIeG0ZTkTGAIeUUuusjsXFBiml+gKjgHttZVen8LTkbnaFaiZsdeePgQ+UUp9YHY8rKaWOAcuAkRaH4kyDgLG2GvQ04CoRed/akJxPKbXP9vchYDa61OwUnpbcza5QzYDt5uK/gM1Kqb9bHY8riEi0iLSyfdwCGA7kWhuV8yilfq+UildKdUL/Hn+llLrV4rCcSkRCbBMEEJEQ4FrAabPgPCq5X2hXKGujci4R+Qj4BuguIgUi8nOrY3KBQcBP0KO5DbY/o60OysnigKUikokexHyulGoW0wObkTbAKhHZCHwPLFBKLXbWxTxqKqRhGIZhH48auRuGYRj2McndMAzDC5nkbhiG4YVMcjcMw/BCJrkbhmF4IZPcDcMwvJBJ7oZhGF7IJHfDMAwv9P/TMUTGj4QdMQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"print(\"Solapamiento gráficos?: \", plt.ishold())\n",
"print(\"Está en modo interactivo?:\",plt.isinteractive() )\n",
"\n",
"plt.plot(np.random.rand(6))\n",
"plt.plot(np.random.rand(6))\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Activación de ventanas.\n",
"\n",
"Como ya se ha dicho en apartados anteriores, los objetos de tipo \"Figure\", **son el contenedor de los gráficos que se van generando**. Se pueden crear varios contenedores y depositar sobre ellos diferentes gráficos. Veamos un ejemplo."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure('scatter') # Creamos un objeto de tipo Figure denominado 'scatter'\n",
"plt.figure('plot') # Creamos otro objeto de tipo Figure denominado 'plot'\n",
"a = np.random.rand(10) # Generamos un vector de valores aleatorios\n",
"b = np.random.rand(10) # Generamos otro vector de valores aleatorios\n",
"# Con la siguiente instrucción indicamos que la ventana activa es 'scatter'\n",
"\n",
"plt.figure('scatter')\n",
"plt.scatter(a,b,label='scatter') # Dibujamos un scatterplot en la ventana 'scatter'\n",
"plt.legend()\n",
"plt.figure('plot') # Ahora la ventana activa sería 'plot' y dibujamos un plot\n",
"plt.plot(a,b,label='Plot')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Trabajar con subplots\n",
"\n",
"Si en lugar de sacar los gráficos de forma independiente, como se ha hecho en el caso anterior, los queremos sacar relacionados y con una cierta disposición, se puede conseguir esto utilizando los subplots.\n",
"\n",
"A continaución veamos un ejemplo sobre cómo obtener los gráficos anteriores, pero en una disposición de dos gráficos en una sola fila."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20,10)) # Con esto cambiamos tamaño figura\n",
"plt.ion() # Nos ponemos en modo interactivo\n",
"# Dividimos la ventana en una fila y dos\n",
"# columnas y dibujamos el primer gráfico\n",
"plt.subplot(1,2,1) # Divide la ventana en en una fila y dos columnas, y toma\n",
"#la primera posición \n",
"plt.plot((1,2,3,4,5),label='Plot 1')\n",
"plt.legend()\n",
"# Dividimos la ventana en una fila y dos\n",
"# columnas y dibujamos el segundo gráfico\n",
"plt.subplot(1,2,2) # Divide la ventana en en una fila y dos columnas, y toma\n",
"#la segunda posición \n",
"plt.plot((5,4,3,2,1),label='Plot 2')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Dos formas de generar plots \n",
"\n",
"Anteriormente hemos visto los conceptos de \"Figure\" y \"Axes\" que rodean a matplotlib. Igualmente hemos visto que para importar esta librería, lo hacíamos con *import matplotlib.pyplot as plt*, es decir importábamos pylot. \n",
"\n",
"Para comprender mejor cómo trabaja cada uno has de tener en cuenta que cuando pones en un gráfico *plt.xlim* es equivalente a poner ax.set_xlim() ( Con ax de la instrucción anterior me estoy refiriendo a un objeto de tipo Axes que se haya definido anteriormente ). En general, has de tener cuenta que **todos los métodos de un objeto Axes tienen una función con finalidad similar en el módulo pyplot**. \n",
"\n",
"Por lo tanto se pueden utilizar caminos diferentes, para obtener el mismo resultado. Para ver la equivalencia de estos dos métodos, a continuación se muestran dos ejemplos, con construcciones diferentes, pero resultados iguales."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.5, 4.5)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# método utilizando objeto figure y axes\n",
"import matplotlib.pyplot as plt\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"ax.plot([1, 2, 3, 4], [10, 20, 25, 30], color='lightblue', linewidth=3)\n",
"ax.scatter([0.3, 3.8, 1.2, 2.5], [11, 25, 9, 26], color='red', marker='o')\n",
"ax.set_xlim(0.5, 4.5)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.5, 4.5)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"plt.plot([1, 2, 3, 4], [10, 20, 25, 30], color='lightblue', linewidth=3)\n",
"plt.scatter([0.3, 3.8, 1.2, 2.5], [11, 25, 9, 26], color='red', marker='o')\n",
"plt.xlim(0.5, 4.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Como se puede ver el segundo método es más intuitivo y rápido, por lo que se suele utilizar más sobre todo en las representaciones más sencillas.\n",
"\n",
"Cada objeto de tipo axes tiene además otros dos elementos : **x-axis** e **y-axis**, los cuales a su vez contienen major y minor ticklines y ticklabels. Además hay que tener en cuenta que también cuentan con: labels, título y leyenda.\n",
"\n",
"Además hay que tener en cuenta los **objetos de tipo matplotlib.spines**, que son las marcas de los ejes que rodean al gráfico. Para mejor conocer este concepto, a continuación se transcribe un ejemplo de la documentación de matplotlib. "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"'''\n",
"Este código muestra:\n",
" - Ejes normales con spines en los cuatro lados;\n",
" - spines sólo abajo y a la izquierda\n",
" - Un eje con un spine ajustado.\n",
"'''\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"x = np.linspace(0, 2 * np.pi, 100)\n",
"y = 2 * np.sin(x)\n",
"\n",
"fig, (ax0, ax1, ax2) = plt.subplots(nrows=3)\n",
"\n",
"ax0.plot(x, y)\n",
"ax0.set_title('normal spines')\n",
"\n",
"ax1.plot(x, y)\n",
"ax1.set_title('bottom-left spines')\n",
"\n",
"# Hide the right and top spines\n",
"ax1.spines['right'].set_visible(False)\n",
"ax1.spines['top'].set_visible(False)\n",
"# Only show ticks on the left and bottom spines\n",
"ax1.yaxis.set_ticks_position('left')\n",
"ax1.xaxis.set_ticks_position('bottom')\n",
"\n",
"ax2.plot(x, y)\n",
"\n",
"# Only draw spine between the y-ticks\n",
"ax2.spines['left'].set_bounds(-1, 1)\n",
"# Hide the right and top spines\n",
"ax2.spines['right'].set_visible(False)\n",
"ax2.spines['top'].set_visible(False)\n",
"# Only show ticks on the left and bottom spines\n",
"ax2.yaxis.set_ticks_position('left')\n",
"ax2.xaxis.set_ticks_position('bottom')\n",
"\n",
"# Tweak spacing between subplots to prevent labels from overlapping\n",
"plt.subplots_adjust(hspace=0.5)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Añadiendo sublpots\n",
"\n",
"Anteriormente ya se ha visto la manera de añadir subplots a un gráfico generado con matplotlib, el formato era: *plt.subpot(...)* que recordemos es lo mismo que ejecutar un código similar al siguiente:\n",
"\n",
"> fig=plt.figure()\n",
"> ax = fig.add_subplot(111)\n",
"\n",
"**NOTA**: Observar que el significado de fig.add_subplot(111) es el siguiente: (111) es equivalente a (1,1,1) y lo dos primeros 1,1 significan línea 1 columna 1 y el siguiente 1 indica que se ocupe la primera posición.\n",
"\n",
"Sin embargo existe otro método, para generar subplots. El código genérico sería el siguiente:\n",
"\n",
"> fig.add_axes([0,0,1,1])\n",
"\n",
"El primer método, se puede decir que es útil para generar subplots relativos, mientras que con el segundo se fija el lugar donde se insertará el gráfico, ya que en sus parámetros hay que incluir la coordenada x y la coordenada y donde se colocará el gráfico, junto a la anchura y la altura del mismo."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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kL0yS7v54Zu+PX5vkdJInkrx90vPaewAYwxWpAGAQ0QWAQUQXAAYRXQAYRHQBYBDRBYBBRBcABvl/1MKNFjyKJlQAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Ejemplo de construcción de objetos tipo Axes\n",
"import matplotlib.pyplot as plt\n",
"fig=plt.figure()\n",
"fig.add_axes([100,0,1,0.8])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Algunos ejemplos\n",
"\n",
"A continuación se muestran algunos ejemplos sobre el uso de esta librería."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-10, 110)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.arange(100), 'b') # Dibujamos una línea recta azul\n",
"plt.xlabel('Valores de x') # Ponemos etiqueta al eje x\n",
"plt.ylabel(u'Línea azul') # Ponemos etiqueta al eje y\n",
"plt.twinx() # Creamos un segundo eje y\n",
"# Dibuja una exponencial de 0 a 5 con la y representada en el\n",
"# segundo eje y\n",
"plt.plot(np.exp(np.linspace(0,5,100)), 'g')\n",
"plt.ylabel(u'Línea verde') # Ponemos etiqueta al segundo eje y\n",
"# Limitamos los valores del eje x para que vayan desde -10 a 110\n",
"plt.xlim(-10,110) "
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Media diaria')"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Dibujamos una serie temporal\n",
"import calendar\n",
"# Para generar el lugar del primer días de cada mes en un año\n",
"dias = [np.array(calendar.mdays)[0:i].sum()+ 1 for i in np.arange(12)+1]\n",
"# Creamos una lista con los nombres de los meses\n",
"meses = calendar.month_name[1:13]\n",
"plt.axes([0.1,0.2,0.8,0.65])\n",
"# Creamos un plot con 365 valores\n",
"plt.plot(np.arange(1,366), np.random.rand(365), label = 'valores al azar')\n",
"plt.xlim(-5,370) # Los valores del eje y variarán entre -5 y 370\n",
"plt.ylim(0,1.2) # Los valores del eje y variarán entre 0 y 1.2\n",
"plt.legend() # Creamos la caja con la leyenda\n",
"plt.title(u'Ejemplo de título') # Ponemos un título\n",
"# Ponemos un título superior\n",
"plt.suptitle(u'Ejemplo de título superior')\n",
"# Pedimos que se vean subrrayas de división en los ejes\n",
"plt.minorticks_on()\n",
"# Colocamos las etiquetas, meses, en las posiciones, días,\n",
"# con color azul y rotadas 45º\n",
"plt.xticks(dias, meses, size = 'small', color = 'b', rotation = 45)\n",
"plt.xlabel(u't (días)')\n",
"plt.ylabel('Media diaria')\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Altura (cm)')"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Creamos unos valores para la altura de 100 españolas\n",
"alt_esp = np.random.randn(100)+165 + np.random.randn(100) * 10\n",
"# Creamos unos valores para la altura de 100 alemanas\n",
"alt_ale = np.random.randn(100)+172 + np.random.randn(100) * 12\n",
"# Creamos unos valores para la altura de 100 tailandesas\n",
"alt_tai = np.random.randn(100)+159 + np.random.randn(100) * 9\n",
"# El valor por defecto para los bigotes es 1.5*IQR pero lo escribimos\n",
"# explícitamente\n",
"plt.boxplot([alt_esp, alt_ale, alt_tai], sym = 'ko', whis = 1.5)\n",
"# Colocamos las etiquetas para cada distribución\n",
"plt.xticks([1,2,3], ['Esp', 'Ale', 'Tai'], size = 'small', color ='k')\n",
"plt.ylabel(u'Altura (cm)')"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'Ejemplo de función distribución')"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Construimos un histograma\n",
"# Definimos un vector de números\n",
"# aleatorios de una distribución normal\n",
"x = np.random.randn(10000)\n",
"# Dibuja un histograma dividiendo el\n",
"# vector x en 20 intervalos del mismo ancho\n",
"plt.hist(x, bins = 20,density=True, linewidth=1.2, edgecolor='black') \n",
"# linewidth=1.2, edgecolor='black' sirven para obtener las líneas del borde de rectángulos\n",
"plt.title('Ejemplo de función distribución')"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"D:\\programas\\Anaconda\\lib\\site-packages\\matplotlib\\axes\\_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
" warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.mlab as mlab\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"mu, sigma = 100, 15\n",
"x = mu + sigma*np.random.randn(10000)\n",
"\n",
"# Generamos el histograma de los datos\n",
"n, bins, patches = plt.hist(x, 50, normed=1, facecolor='green', alpha=0.75, linewidth=0.8, edgecolor='black')\n",
"\n",
"# Añadimos la linea con datos que siguen una normal\n",
"# la función mlab.normpdf es \"deprecated\". Utilizamos Scipy\n",
"#y = mlab.normpdf( bins, mu, sigma)\n",
"from scipy.stats import norm\n",
"#Ver http://scipy.github.io/devdocs/tutorial/stats.html\n",
"# pdf: Probability Density Function\n",
"y=norm.pdf(bins,mu,sigma)\n",
"\n",
"l = plt.plot(bins, y, 'r--', linewidth=1)\n",
"\n",
"plt.xlabel('valores')\n",
"plt.ylabel('Probabilidad')\n",
"plt.title(r'$\\mathrm{Histograma\\ de\\ IQ:}\\ \\mu=100,\\ \\sigma=15$')\n",
"plt.axis([40, 160, 0, 0.03])\n",
"plt.grid(True)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# imshow()\n",
"\n",
"Para poder mostrar imágenes con matplotlib se utliza la función imshow(), que lo que hace es en un array que puede representar pixeles, cada valor indica un color diferente. Veamos un pequeño ejemplo sobre su uso."
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a=np.array([[ 0.72080244, 0.25576786, 0.67696279],\n",
" [ 0.47049696, 0.54773236, 0.9342035 ],\n",
" [ 0.83608481, 0.96395743, 0.24782517]])\n",
"\n",
"plt.imshow(a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Generando contornos\n",
"\n",
"Matplotlib también tiene una herramienta para poder generar contornos, esta librería se denomina *matplotlib.pyplot.contour* \n",
"y un ejemplo entresacado de la galería de gráficos de matplotlib, se muestra a continuación."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"D:\\programas\\Anaconda\\lib\\site-packages\\ipykernel_launcher.py:14: MatplotlibDeprecationWarning: The bivariate_normal function was deprecated in version 2.2.\n",
" \n",
"D:\\programas\\Anaconda\\lib\\site-packages\\ipykernel_launcher.py:15: MatplotlibDeprecationWarning: The bivariate_normal function was deprecated in version 2.2.\n",
" from ipykernel import kernelapp as app\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib\n",
"import numpy as np\n",
"import matplotlib.cm as cm\n",
"import matplotlib.mlab as mlab\n",
"import matplotlib.pyplot as plt\n",
"\n",
"matplotlib.rcParams['xtick.direction'] = 'out'\n",
"matplotlib.rcParams['ytick.direction'] = 'out'\n",
"\n",
"delta = 0.025\n",
"x = np.arange(-3.0, 3.0, delta)\n",
"y = np.arange(-2.0, 2.0, delta)\n",
"X, Y = np.meshgrid(x, y)\n",
"Z1 = mlab.bivariate_normal(X, Y, 1.0, 1.0, 0.0, 0.0)\n",
"Z2 = mlab.bivariate_normal(X, Y, 1.5, 0.5, 1, 1)\n",
"# difference of Gaussians\n",
"Z = 10.0 * (Z2 - Z1)\n",
"\n",
"\n",
"# Create a simple contour plot with labels using default colors. The\n",
"# inline argument to clabel will control whether the labels are draw\n",
"# over the line segments of the contour, removing the lines beneath\n",
"# the label\n",
"plt.figure()\n",
"CS = plt.contour(X, Y, Z)\n",
"plt.clabel(CS, inline=1, fontsize=10)\n",
"plt.title('Simplest default with labels')\n",
"\n",
"\n",
"# contour labels can be placed manually by providing list of positions\n",
"# (in data coordinate). See ginput_manual_clabel.py for interactive\n",
"# placement.\n",
"plt.figure()\n",
"CS = plt.contour(X, Y, Z)\n",
"manual_locations = [(-1, -1.4), (-0.62, -0.7), (-2, 0.5), (1.7, 1.2), (2.0, 1.4), (2.4, 1.7)]\n",
"plt.clabel(CS, inline=1, fontsize=10, manual=manual_locations)\n",
"plt.title('labels at selected locations')\n",
"\n",
"\n",
"# You can force all the contours to be the same color.\n",
"plt.figure()\n",
"CS = plt.contour(X, Y, Z, 6,\n",
" colors='k', # negative contours will be dashed by default\n",
" )\n",
"plt.clabel(CS, fontsize=9, inline=1)\n",
"plt.title('Single color - negative contours dashed')\n",
"\n",
"# You can set negative contours to be solid instead of dashed:\n",
"matplotlib.rcParams['contour.negative_linestyle'] = 'solid'\n",
"plt.figure()\n",
"CS = plt.contour(X, Y, Z, 6,\n",
" colors='k', # negative contours will be dashed by default\n",
" )\n",
"plt.clabel(CS, fontsize=9, inline=1)\n",
"plt.title('Single color - negative contours solid')\n",
"\n",
"\n",
"# And you can manually specify the colors of the contour\n",
"plt.figure()\n",
"CS = plt.contour(X, Y, Z, 6,\n",
" linewidths=np.arange(.5, 4, .5),\n",
" colors=('r', 'green', 'blue', (1, 1, 0), '#afeeee', '0.5')\n",
" )\n",
"plt.clabel(CS, fontsize=9, inline=1)\n",
"plt.title('Crazy lines')\n",
"\n",
"\n",
"# Or you can use a colormap to specify the colors; the default\n",
"# colormap will be used for the contour lines\n",
"plt.figure()\n",
"im = plt.imshow(Z, interpolation='bilinear', origin='lower',\n",
" cmap=cm.gray, extent=(-3, 3, -2, 2))\n",
"levels = np.arange(-1.2, 1.6, 0.2)\n",
"CS = plt.contour(Z, levels,\n",
" origin='lower',\n",
" linewidths=2,\n",
" extent=(-3, 3, -2, 2))\n",
"\n",
"# Thicken the zero contour.\n",
"zc = CS.collections[6]\n",
"plt.setp(zc, linewidth=4)\n",
"\n",
"plt.clabel(CS, levels[1::2], # label every second level\n",
" inline=1,\n",
" fmt='%1.1f',\n",
" fontsize=14)\n",
"\n",
"# make a colorbar for the contour lines\n",
"CB = plt.colorbar(CS, shrink=0.8, extend='both')\n",
"\n",
"plt.title('Lines with colorbar')\n",
"#plt.hot() # Now change the colormap for the contour lines and colorbar\n",
"plt.flag()\n",
"\n",
"# We can still add a colorbar for the image, too.\n",
"CBI = plt.colorbar(im, orientation='horizontal', shrink=0.8)\n",
"\n",
"# This makes the original colorbar look a bit out of place,\n",
"# so let's improve its position.\n",
"\n",
"l, b, w, h = plt.gca().get_position().bounds\n",
"ll, bb, ww, hh = CB.ax.get_position().bounds\n",
"CB.ax.set_position([ll, b + 0.1*h, ww, h*0.8])\n",
"\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Galería de ejemplos\n",
"\n",
"Una buena galería de ejemplos de gráficos realizados con marplotlib la [podemos encontrar en este enlace](https://matplotlib.org/2.1.1/gallery/index.html){:target=\"_blank\"}."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Guardar Gráficos\n",
"\n",
"Todo lo que hemos explicado hasta este momento lo que ha conseguido es generar una serie de gráficos, pero sin que hasta este momento se haya explicado, como poder guardar estos resultados en un fichero en un formato determinado para que luego se puedan utilizar como elementos gráficos en otro documento. Lógicamente matplotlib permite tambien hacer esto de una forma sencilla y fácil de utilizar. Veamos a continuación cómo hacerlo.\n",
"\n",
"Para poder guardar una figura obtenida en matplotlib, tan sólo tenemos que utilizar una sentencia similar a la siguiente:\n",
"\n",
"> plt.savefig(\"nombre.png\")\n",
"\n",
"Si queremos obtener una figura con fondo transparente, se jecutaría el siguiente comando:\n",
"\n",
"> plt.savefig(\"nombre.png\", transparent=True)\n",
"\n",
"Se puede guardar también múltiples plot's en un determinado fichero pdf, para ello inicialmente se importa una librería que permite generar este tipo de utilidades. A continuación se muestra cómo poder hacerlo.\n",
"\n",
"\n",
"~~~~\n",
"from matplotlib.backends.backend_pdf import PdfPages # Import PdfPages\n",
"pp = PdfPages('multipage.pdf') # Initialize the pdf file\n",
"pp.savefig() # Save the figure to the file\n",
"pp.close() # Close the file\n",
"~~~~\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Formato salida ggplot2\n",
"\n",
"Para los amantes de R, matplotlib también puede establecer un formato de salida similar al que utiliza la librería de R ggplot2, para tan sólo hay que añadir la instrucción: plt.style.use(\"ggplot\").\n",
"\n",
"A continación volvemos a generar un gráfico anterior, pero en esta ocasión dándole un formato del tipo ggplot2."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-10, 110)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.style.use(\"ggplot\") #Definimos el formato de salida de tipo ggplot2 \n",
"\n",
"plt.plot(np.arange(100), 'b') # Dibujamos una línea recta azul\n",
"plt.xlabel('Valores de x') # Ponemos etiqueta al eje x\n",
"plt.ylabel(u'Línea azul') # Ponemos etiqueta al eje y\n",
"plt.twinx() # Creamos un segundo eje y\n",
"# Dibuja una exponencial de 0 a 5 con la y representada en el\n",
"# segundo eje y\n",
"plt.plot(np.exp(np.linspace(0,5,100)), 'g')\n",
"plt.ylabel(u'Línea verde') # Ponemos etiqueta al segundo eje y\n",
"# Limitamos los valores del eje x para que vayan desde -10 a 110\n",
"plt.xlim(-10,110) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para dar más formatos a los gráficos generados, se pueden utilizar las normas e instrucciones que [se pueden ver en este enlace](https://matplotlib.org/users/customizing.html){:target=\"_blank\"}."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Gráficos en 3D\n",
"\n",
"Existe también la posibilidad de generar gráficos en tres dimensiones dentro de Python. Para conseguirlos hay que utilizar la librería *mpl_toolkits.mplot3d* y ejecutar código como el que se muestra a continuación."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"a=np.random.uniform(low=0.0, high=10.0,size=10)\n",
"b=np.random.uniform(low=0.0, high=10.0,size=10)\n",
"c=np.random.uniform(low=0.0, high=10.0,size=10)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d import Axes3D"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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HlSLkSpvTkx5yoWrE7LDTYv9+mUxGPE/2aloIUCWEnO3JQJNdPB7H4uIi4vE4\nhoeHcfDgwYp+cHOp62iXuM7OzrzITskKmfahyAaJm3I4HGhubsaJEyfydtVTau0t14lOr3V5PB5R\nzcYwDDY2NtDS0pLTu7gcuNoJWQ5KqhG3e366QtYIWQUggz2DwSCmTieTSQwPD6O9vb2oD6zSxvfZ\nVS1ddba3t8u6xG33WOl0WpHjIuSe/Tr9fj8WFhZQX19fVMpJOfeQc611sSyLN954AzqdTuJdvBvV\ndKUIudJpIcVsWRSjRqRJmlYj0hWyRsgqgdFoRDgcxtzcHNLptBhBVMoJQjYtlNqxJIQsCIKYrdfW\n1ibxTc4X5Qw6DYVCsNvtMJlMeSdhy6ES5GQ0GmEymdDV1SVeQOREEolEQlKNka9SE2IqVSFXkpCV\nLlpyqRFJ24NWI9bW1iKRSCAQCCAWiyEQCEgIfi+hKgiZRKqEQiHE43FMTEwUlAW3HZQmZL1eD4/H\nA4/HIyaJFGuqr2QPmWyp0CnT4+Pje3ZanY3tRBJyQyiye0tX0/kQztVKyED5L75msxmtra2Sc5sM\ngX//+98jkUjg//2//4fz58/DaDTiN7/5DQ4fPoxPfOITeVfvOwWcAsBLL72EBx54AJlMBu3t7fjV\nr36l2GusCkL2eDxwOp1oaWlBd3e3YmQMKEd6giCIybjNzc2YmppCTU1NSY+pZIXM8zwuX76MTCaD\n0dHRop2ygL21aSBXjWXv3pIAVHKLvV01fTUTciVAhsAmkwlDQ0N48skn8elPfxrve9/70N/fj9nZ\n2bzJOJ+A01AohI9//ON4/vnnsX//fkWCHWhUBSETiTOpbpREqeIQeiDW1NSEnp4etLW1lUzGgDIX\ni1QqBYfDgUgkgvHxcfT19ZVEKNXgXZFr95aupn0+n6SaJkTNsmxFXv/VSsjAlXOMfs/D4TA6Oztx\n9OhRHD16NO/HySfg9JlnnsGHP/xh0U5B6dZIVRCyWmKcaAiCAJ/PB4fDAavVKg7EFhcXFW0zFFsh\n037Jw8PDYFkWTU1NJVd3hJD3UpWcL3JV06S3GYvFROm4XDVdTq+HqzlxOnuzqlgv5HwCTufn55HJ\nZHD99dcjGo3i/vvvx6233lr8wWehqgjZaDQqtnVAUCghC4IAv98Ph8OBuro6HDlyBHV1deLPle77\nFvpYtMyZ9kv2+XxlM6mvZmSvdHm9XkxPT0MQBNlNASKQIF9yvhDFoNKEXMmLb7bTWzm3LFiWxWuv\nvYYXXngn2Mv/AAAgAElEQVQByWQSZ86cwenTp4vK75NDVRAyQaUrZELENTU1OTcTlCTkQqTTcjJn\n+gQuVHqeC5VSD6oJxNhGzsCHTqleXl6W+EIQY3mr1VrwoPdqTwvJ9kIuRqmXT8Bpf38/2traxHW9\n6667Dq+//rpGyHIoV9DpTlV3IBCAw+GA2WzG5OQkrFZrzt9Vcnc4H3LPV+ZM9q1LBS0wqXTlpEbI\nCSSILwSxw1xZWQHDMOLeLS0Xz0W6GiG/TWU8zxclBMon4PSDH/wg7rnnHrAsC4ZhcP78eXziE58o\n+TUQVAUhl7uHHI/HZX8WDAaxsLAAk8mEiYmJvBymlG5Z5CLRQmXOSsY4kf+9mloXpYD2haBB96ZX\nVlbEz2FdXd2W3rRGyG97IRf7ucsn4PTAgQN43/vehyNHjkCv1+OOO+7AoUOHFHstVUHIQGkWnNvB\nYDBsqbrD4TAWFhag1+vzJmICJZOn5Ui0WJlzOYNONRQHub3b7GqamMvzPA+z2SxRs+0WSaqNkIHi\nd6J3CjgFgE996lP41Kc+VdTj74SqIWSgfC0LQqCRSAR2ux0AYLPZiupTlUPMQVCKzFkj5L2BXNX0\n8vIyGIbZkqmXXU1bLBbF20hqIuREIlG0qlQNqBpCLldCAEmevnTpEnieL5qICcrhsRwOhzE/P1+S\nzFlJQuZ5HvF4HCaTqaKxPlcTCFH39PSI3+N5XrQyDYfDWFtbE6OasnvTpRCqGgiZ7PWHQqE9a70J\nVBEhlwPRaBTz8/OIRCKYmpoqSb1GoCQhR6NRJBIJLCwslCxzVqqy5TgOb731lkjMLMsimUxicXFR\nNRaZ1Qi5HjLx6ZALBiC96exqmt6dzjcYQA2EXA3GQkCVEnKp0/1YLAaHwwGGYTA0NIRMJqMIGQPK\nEDIh4VQqBbPZjBMnTpR8XKVWyMlkEna7HZFIBGNjY+jo6BAJ/sKFC7BarYjH46JFJjGcb2ho2PWe\nZzWikKGeyWRCS0uL5DOdbzCAXMyW2ghZq5BVAELAhPCKWXuJx+NwOBxIpVIYGRlBW1sbBEHA/Py8\nYscpNyTMF0TmHI1GYbPZ0NbWht/97neKHFcxIhPgyibA4uIigsEgbDYbdDqdpL+p0+mg1+vR0dGx\nxXCenPykShMEQdLzbGho0FoeeaLULYvtggFINe12uxGPx8FxnCRmK5VKKWIFUCw0QlYxyKZFIYSc\nSCTgcDiQSCREIqbXt5REMQKMbJnz5OSk5LiU2PfV6/UFbahwHIfl5WW43W4MDg6KmYRer3fL65Pb\nSTYajVvim7I3CFwul6huI5U0UbdpLQ8pyrX2Jvd3yq6mvV4veJ6H2+0W73aIyGU3ggG0loUKkb2L\nnM+GQTKZhMPhQCwWw8jISNEm9sUcZz7IJXOmsVMkVL7It2VBC036+vpw+vRpyXNnC0Po7+VzDNkb\nBLRXRDQaxebmpuhjTFfSas3Y2y3s5h5ydjUtCAKam5vR1NQkysV3M2ZLI2QVI5/VN9rhbGRkJK9Y\np91UnXEch5WVFayursrKnGkoScjbkSaxD3U4HGhvb88pNJEj9lIGhrnifziOE2+l6ZO/trYWDQ0N\nSKfTSKfTeyqxuhSoQRhSaMxWdm+62Asqx3Hiaw+HwxKDoL2GqiHkfNR6qVQKi4uLCIfDsrf+uaAU\n6e2EYtKcSc+81Kj17aTTwWAQ8/PzqK+v39HHWY58y7GbbDAYZE/+ZDKJaDQKlmWxuLgIlmUlEuSG\nhgbFDH3UhEpm6u2Up5crGIBObyF/K7qarq+vz7s9RX5Hq5BVBrkKOZ1Oi4OnYhKnyWMqSch0xV1M\nmjOBUvvDco8TjUZht9uh0+lw8ODBbT06CHaLkHM9N7mV9nq9sNlsqK2tlUiQiaFPPmbzhaKSgphK\nZuoVs2WR64JKBwN4vd68ggHoczkSiWiErCbQFTI9DBsaGsLExERRVQQh5GKjlrJBB4oWm+ZMoNRe\nM03IyWQSCwsLSCaTBaeHVJKQc0FOgsxxHBKJhNiXJmbzpEIjQ8S90vJQQ8uiVOQTDJAds1VfX49M\nJiMKkSKRiLZloQbQLQsi6PD5fDmHYYVAaUm2wWCAz+fD0tJS0WnOBEpWyCzLYm5uDn6/HzabDR0d\nHQW/b3K96EoTshwMBsMWe0y630nv4tLKNtLykCOgSrrbVQMh58J2MVvhcBibm5u4fPky7rrrLsTj\ncXzuc5/D6dOncebMGVxzzTV5PUc+WXoAcPHiRZw5cwbf+9738Jd/+ZeKvD4aVUPIwBUF0sbGBjY3\nNzE+Po7Tp08r8iEtZXc4G+FwGNFoFKurqyWlOdPHViohcxyH9fV1eL1eTExMlHQBk+tFq5GQ5ZCr\n30kr21ZXVxGLxQC87WFMCyauVkLe7ecm1bQgCLBarTh8+DBee+01vOtd78IDDzyA2dlZzM3N5UXI\n+WTpkd/7+7//e7znPe8p18uqHkLmeR6vvvoq2tvb0d7ejv7+fsUeWwmHNjrNuampCWNjY4qYoBQr\n6ACuVBlra2tYXl5GW1ubIu+b3M7xXiHkXJBTtpGd6Wg0KiaCMAyDdDotxnY1NDTsmky80pl6lXpu\nOS/ka665BqdPn877MfLJ0gOARx99FH/xF3+BixcvKnPwMqgaQjYYDDhz5gySySRmZmYUfexSWha0\nzJn0Y996662K5uoRi86FhQW0tbXh1KlTyGQymJubK/l41NhDLgfkdqYZhsGbb76JpqYmyVAqH/lx\nqbhawwDkrDcLRT5Zemtra/if//kf/PKXv9QIOV+UyxO5GEKWkzlny7uVQKGPFQwGYbfbUVdXJ1lh\n4ziubPab1UjIuWAwGMS7NAKWZRGPx8W+dCwWk1hjkraH2WwuOfH7akN2hQyU53144IEH8PDDD5f9\nTqCqCBkoj70lseDMBzvJnJU+xnxbFrFYDHa7HYIg4MCBA1tM9ZW238z+3tWAXFVqLsEEkYmHQiFJ\nbFO2TLzadqaVBE3IqVSqqOF4Pll6r776Km6++WYAgM/nw9mzZ2E0GvGhD32ohKPfiqoi5HJ6Iu9U\nIecjcybYzaDTVCqFhYUFxONxjI2N5VxhU3Jbg7y27F3rakchbQOyW5ttjckwDKLRqJhWTe9M00St\nFpl4pf+uNCGHQqGiLGjzydJzOp3if9922234wAc+oDgZA1VGyOXCdoRMZM6kD7WdzJlA6QpZrkWT\nyWTgdDrh8/nykocrlTot155Q6rHVDiX6uGazGW1tbVtk4mQP1+PxwOFwbHFc43m+In1kNVhvkrZb\nsSq9fLL0dgtVRci0Q5uSU2c5Qs6WOWeb7GwHJdfoDAYDUqmU5LiWl5exvr6OgYGBvFf/lE6d3ul7\n1YhyEWKuPVzacS2VSuHixYvizjTtM13OlocaCFkJ6818svQInn766aKeIx9UFSETEAJVykuXrmiJ\nzNnpdKKzs7MgmTN9fOl0WpFjI60GQRCwvr6OpaWlgi8QgHJ9XkK+oVAI6XRaJBGNkJUFLRPv6OiA\n3+/HyZMnxZ3paDQqSaqmpccNDQ0ly8QJ1ETIoVBoT8umAY2Q8368TCYjup01Nzdjenq6aCm10i2L\naDSKc+fOoaWlBSdPnqyoqXs6ncba2hpCoRBqamqwtraGaDSKcDiM1tZWsXKrxhinSq2e0c+ba2ea\ntDz8fj+WlpZE6THdly7mb6IGQibPv9eNhYAqI+R8HN+KQSQSQTgchtfrLUnmTKAUIYdCIczPz4Pj\nOExPT5d8XKUgnU5jYWEBwWAQzc3NGB8fB8MwMBgMcDgcaGxshNFoRDQaFS0Yd/v2utyoFCHv1J7T\n6/WyMnFi5EP/TeidaeIzvR3hqoGQSbWvEbJKYTKZFOnR0mnONTU1OHTokAJHVzohx+NxzM/Pg+d5\nDA0NwefzVYyMOY7D0tISNjY2MDw8jPb2dqyuriIUCqGurg7RaBShUAjt7e1oaGhAY2OjKDHOZDKi\n2s3lcm3ZKCBEvVey9tRKyHLIZeRDRzblE61VaUKmnz8SiaC7u7tix6IEqoqQyclAWgzFgpY5kzTn\nV155RanDLHqoR8QmsVgMo6OjaG1tFRVhuw26Z02SQ4Ar2x3JZBLr6+vw+/3geR7Nzc3iiW21WiEI\ngkgipDLu7e0VV+aIp3G2iIImaTVm7VWyZaHkAFsuWov8TYLBoLgzbTabodfrodfrEY/HKxKtRb92\nrUJWKYptWcjJnMuBQitklmXhdDqxubm5RWxSDiHMTvD7/Zifnxd71vQutE6nA8MwiMfjOHjwIFpb\nW8UqOBAIYHl5GSzLiskedKuCvA5i8NPV1SUOCYkLG90Dpa0yGxoaYLFYKtqXrhQhl9vcR6/XizvT\nNNLptHhn43Q6Re9ipZJACoVGyCoDXSEXssWwncyZhlInXL4kyvM8XC4X1tbWsH//ftkVNqUEHfkg\nFothbm4OBoMBR44cQU1NDXieF5/f7XbD5XKhv78fp06dEo+VEGZvby+At1Vq0WgUkUgEa2trSKfT\nkiFTfX09LBaL+NgWiwVms1mSe0hn7a2vryOdTotKt1QqhUQisat+xpVsWVTieS0WC2pra8U7HODt\nnWnSl87emSZ/33JcPDVCVilMJpNokbgd8pE5ExASVeJqv5N7HL1a193djWuuuSbn8ypdIcuRChnY\nxWIxjI2NobGxUWw76HQ6BAIBLCwsoLW1FdPT0zuuVNEqNdLzI0OmaDQqGTLR8Usk0oeQNH17rdfr\nodPpwLKs6MC2uroKh8NR8KBKyfduN1DptBD6773TznQ4HBYvwKVGa3EcJ3m/w+Fw2e5qdwtVScg7\nSZ0LkTlnP6YShLydUMLn88Fut6O5uTmvFTYlK2SiqCPvBRnYeTweMfqKVMQ6nQ6JRAJ2u12smEsZ\nLNJDpmwvYlJJr66uIh6PS5zWCEnTF4jGxkaYzWYxwollWdE3gh5U0XLkhoaGkv+2e2mopxTyGepl\np1QT0NFaLpdLsjNNr+PlusBnF0h7Pb4JqDJC3mntjU5zzlfmTKBkaojcSUs2OiwWC44ePYq6urq8\nHktJWTIhd51OJ/ok9/X1iSbfpCJhGAaLi4tIJBIYHR0ta2SOyWSSjV+iK2ky+CNtjmAwCLPZDJPJ\nJB4zIe7u7m7xdZJB1ebmJhYXFyWp1YSkC9k11wi5MMhFa5Gd6XyitbILJIZhtg3g3QuoKkIG3rbg\npMlTTuZcaDWkdIwTQSKRwPz8PFiWFTc6KgWdTgefzwen04nW1tYtAzue57GysgKPx4OhoaGCw2KV\ngsFg2LIJkE6nMT8/D6/Xi4aGBjAMg9dff13i90BaFaTFQyryzs5O8XWQtkk4HMbq6qq4TUBveOQS\nUGiEXDpy7UyToW4sFhOjtcjPZmZm4Pf7i34Pdopv+s53voOHH34YgiCgoaEBTzzxBI4ePVr8i9wG\nVUfIwNtrb4IgYGNjA06ns+A0Z7nHVJKQeZ7H5cuXEYlEMDo6KjGTqQRIxbm+vi47sNvY2MDy8jJ6\ne3slA7tKg6SerKysYGBgAIcOHZI4zBU6PCRKN3qwS/rSO4laKiUPryZClkOuaC2v1wuv1wu/348n\nnngCLpcL09PTmJiYwN/8zd/g+uuv3/Gx84lvGhoawq9+9Su0tLTgueeew5133rnFwF4pVB0h63Q6\n6PV6pNNpnDt3rug052woRcikf51IJDAyMlKxKpMgnU7DbrcjkUjAarVibGxMJCidTodgMIiFhQU0\nNTXlNbDbTZBhIlm/kzMq3254GIlE8hoe6vV60c+YDA85jtviGUFuoWlP490QTVSakCt5cbZarTh0\n6BCmp6fx/ve/Hy+//DLm5ubyjkfLJ77pHe94h/jfp0+fxurqqrIvgkLVEXIgEMDc3BxYlsWpU6cU\nU7CVus1AbvdJ/7qxsbGoVGelQC4MXq8XIyMj6OjowOXLlzEzM4Pm5maYzWZ4vV4YDAYcOnQo7572\nbiCZTGJ+fh4ACj62XMND4kNMAmjlhoekCiZETbdBdDod3G434vE4dDodNjY2EIvFwHFc2UUtlSbk\nSnkzyzm9mUymghS1+cQ30fj2t7+NG264ofiD3gFVR8jpdBoHDx7EG2+8oaicuNgKmbRNFhcX0dXV\nJa6web1eRT/M+fYv6WDT/v5+ycBubGwMkUgETqcTsVgMZrMZgiBgfn5elD1XUoBBBDKBQEBUKiqF\nXD7EhKQ3NjYQj8fF4SFZnyMkzbIswuEw6uvr0dnZKRG1kIo8l6iFDKmKfU8rSciVfG7aQGw3dpB/\n+ctf4tvf/jZ++9vflu05qo6Qe3t7xcm60p7IhVpm+v1+2O12NDY2bnGHU3J/WC7pWQ5kpU5uYCcI\nAlZWVuB2uzE4OIju7m6JSo4YLK2srIh9WELQjY2NZRVgkL3s5eVl7Nu3D6dOndqVC4Lc8JBsAUQi\nEZFg0+k0MpmMeNdDiIK8t4Ts8xG10MrDfKXIPM9XrEqtNCGTu6NIJFLUQDyf+CYAeOONN3DHHXfg\nueeeK+u8p+oImYCsvpXaOyYopEKORCKiKdGRI0dkb6nLEXSa68SIRqOYm5uDyWTC0aNHxR4xIQyv\n14ulpSV0dXXh1KlTkr4nPVAhUUOk6otEIiKhpFIpmM1mCUkrYbEZCoUkF7VK97DpLYBkMom5uTmY\nzWbs27dPbHsQgiVVMGltkDsO4O2cvZaWFjF6jAwPY7EYfD4fEomE+HzbiVoqSYpA5TITlfBCzie+\nyeVy4cMf/jD+8z//E2NjY4ocey5UHSFn7yLvJiEToQTDMBgbG9t2P1dpT2Q5cQjJ00skEhgbG0ND\nQ4NEQBEOh2G322G1WjE1NZV3b5Puw9KL/tnDskQiIQ64CFHX19fndQKnUinY7XawLIvJycm8hzS7\nASKY8fl8W1on+Q4PyXtRW1sr8QEhKjcyPOR5XtZ9jRZPsCyrmq2X3UR2D7lc8U1f+MIX4Pf78fGP\nf1z8N6+++qpyL4Q+nrI8qgqg9Jrado/HMAwcDgdCoRBGR0cldoa5UI4KmYA2I7LZbGhvb5co7AhR\ncxyHAwcOwGq1KnIcFosFFotF8vozmYxYSW9ubiKRSMBgMIhVZmNjo8QHmeM4LC8vw+v1iseuFgiC\nIIpIenp6cPLkyZxEmM/wkGxn7DQ8JFsfPT09IknTopbNzU14PB5sbGwULWrZi1CCkIGd45uefPJJ\nPPnkk8UfaAGoOkIul0m9HIGyLIvl5WVsbGxgaGgIExMTed++laNC3m5gR453aWkJoVAINptN0aFY\nLphMpi3DMpZlRZJeXl5GLBaDXq+HwWBAPB5HV1cXpqenVZOsDLztQW0ymXD8+PGiyU5ueEg8iMnw\nMBaLSapgOZLOvkNpbW0V/aeLEbUUg0rHcmUTMlld28tQzydeYZSzQuZ5Hqurq1hZWUF/f39BEuxy\nHJ/BYIDf78ebb76Zc2C3traGtbU1DAwMYHR0tKK7z0ajUSKZjUQioovcvn37kEgk8NprrwG4slpG\n2h0NDQ27bobOcZy42TE2NlaWSX4uD+Ls4WG2tLu+vh6xWAyBQADd3d2izLwYUUsxLY9K965pUUo1\nOL0BVUzISlfIRP1HVtg6Ojq2dWHbCUpVyNFoFD6fD8lkUnZg5/P5sLi4KAayqil9g7jIpVIpTExM\nSOSyACTii/X1ddGzgpAJIepyVNKCIMDr9WJxcVFUcO3mRSyXhJgoD/1+P2ZmZsBxHBobG+Hz+WSH\nh0TU0tzcLA4P5UQtxSS1VDotBHj7jrgajIWAKiRkumWRSCQUe9xgMIhEIoFAIKCI8s9gMJR0wSBD\nr2QyiZaWFvT09IirVjqdDpFIBHa7HXV1dSXdYpcDxOeZxD7lEsgYDAZRIUf/W1I5ejwe2O12MVGE\n3vAoZRsjFothfn4eNTU1OHHihGrSSYhrWiAQQCgUwoEDB9DR0SHZeKGHh3QFTA8PSXKL1WqVKA9J\nXzpfUYsaCJmACEP2OqqOkAlKjXEiiEajmJ+fh8FgQE1NjURSWQoMBoNokFII5AZ2LpdLtOysra1F\nIBAQ46eyq85Kgh6KdXV1ia2VQpCrciQkTe4IyI4qTdI7ESvLslhcXEQoFML4+LjqTnDS2mlubpbc\n7chtvNDDQ5LqQYaHZMc5uy9dW1uLmpoadHV1iXMJWtSyvLyMTCYjrvORi14lTJWy+9fV4IUMVCEh\nKzXUSyaTsNvtSKfT4gqb0rl6hbQsaMe6ffv2SQZ2fX19aGtrw8LCArxeL2pra8FxHGZnZyWElO/K\nWTlAqk6LxaJ4xU7HBhHQt/ckOophGLEHS6sOgSvmSUtLS9i3b1/Fe+zZYFlWTLTJdytmu+FhJBIR\nq2AAYhVstVrFnXmO4yAIwraiFp/Ph2g0iosXLxYtaikW2dW5Rsgqhk6nK3poRrx+g8GgWIGSD5aS\n6r98CVkQBFFh197eLjqt0bef6+vrokfGoUOHxOOjzd2JfzFJdNgtkibvZzQa3XE3W0nkMhbKVh0m\nk0mRqAcGBlR1UtN97P379+cVpLAdcg0PST+ZECzLsqivr5es4plMpi1JLcCVz7HNZpNsihQiaikW\n2V7IqVSqYsnrSqIqCRkovEKm4+yHhoYwPj6+5cO/kyKuEOSTPE1uUS0WC44dO7ZlYOf3++FwONDe\n3i7rdiZn7p6LpAlBK0XSZBNlbW0Ng4ODsu/nboNWHba2tsLhcIg+1IIgiH3pbNXhblR82UgkEpid\nnYXFYilrH1uv18tGLpG7C3LhIubvhFxZloXL5cLg4KBoVUA+Q2R4uJ2ohd7yKKbfTxMyaV9U+vOl\nBKqWkPOtkOlWQF9f37YrbOQxlZDvblchk4FdKpXC2NgYrFarRGFH3/4fO3asoJSE3SBpv9+PhYUF\nsaJXy+AHkPpiDAwMSC4UtIAjO9+vFNVhIeB5HktLS9jc3MTY2FhFKvbtbEuDwaDo32EymbC+vo5o\nNCo7PAR2FrXQSS3ZCeLbQS5OTSNklYJ4Im+3uE5uB0mFmY95vZK7w3JBpzsp7IgiMJVKYXR0VLF0\nEaVImognlMjYKwfIHUc+vhhKqA4LRSAQwPz8PLq7u7dVAVYK4XAYS0tLEvOpYoaHNTU1sFgs6Ozs\nFM/TQpNaaEJWKutSDaiOV1EggsEg5ufnUV9fj6mpqbwrTKXFHISQaaFJ9sCO/Hx5eRmbm5sYGRmR\n9LXLhUJIur6+HqlUCul0GuPj47uiACwEmUxG9PSQ23fOF7lUh+Q9oVWHtKBlp51eEhLAsiyOHj2q\nugtZKpXC7OwsjEbjlvZJIcPD7L408PZnvFBRC8/zovgpHA5XNPpMSegKlD9WViuZJ1iWBcdxeOWV\nV3DmzBnxD0xW2PR6PUZHRwv2cJifn0dLS4vk1rZY8DyPc+fOwWazYWFhAR0dHRgcHNxiFOR2u+Fy\nudDf34++vj5VVU2CIMDlcsHlcom9w3L1pIs9PhLvNDQ0JHoUlxu0j3IkEhEJKVt1qNfrsbq6itXV\nVYyMjEjW1tQAQRDEOUCpMWP08JB8kT3nXMNDcgxkV5oWtayuriKdTuNnP/sZfvSjH0EQBNx33304\nfvw4Tpw4kVeRtVOWniAIuP/++3H27FnU1dXh6aefxtTUVLFvQV4fvKqukEkVSiqkZDJZkvxVSf+J\nWCyGeDwOj8eD48ePi6IO0p4g8UStra2qsJ3MRjAYhN1uR0tLC86cOSO5ZaQraafTiXg8vuskHQ6H\nMTc3lzPeqZyQ81HOVh2Gw2Ekk0nU1NSgp6dHDOZVy613LBbDzMwMmpqaitoXz8Z2w8NIJIJQKCQ7\nPKyrq5NkHgIQ1/M6Ojrw4IMP4vrrr8fjjz8Os9mM73znO2hpadlRL5BPlt5zzz0Hu90Ou92O8+fP\n4+677y5blh6BOv76CoOc6Hq9HnNzc4hEImJMUalrQ6W2LOj9ZovFgsnJScnALh6Pw263q7YPS46f\n5/mc8Uk7tTvKSdIMw4jv78GDB1Vj20lUh/X19YjH4zCZTJicnIRerxe3O4gDn5Kqw0LB8zycTif8\nfj8mJibK2gqgh4c9PT0A3l5NJFU0SZg2m80S/45gMIju7m5wHIcXX3wRqVQKd955Z97PnU+W3rPP\nPotbb70VOp0Op0+fRigUgtvtFo+1HKhKQiaGMOFwGK2trZicnFSkGitF/UdUYMRDt62tDS+//DKc\nTqeYuLG8vIxEIoHR0VHVqcTIe+r3+2Gz2Qq+fS2WpOvq6vJq09BrdsPDw+js7FTV1H27nWI51SHZ\n53U6nchkMqJ4g7wv5ViDC4VCmJ2dRXd3N6anpyvSHqNXE7OVh5ubm3A6nWKr57777oPRaITRaMQ/\n/MM/iEVOPsgnS0/ud9bW1jRCLhSBQAAA0NPTg9bWVsVOTKPRiGQyWdC/oQd2+/fvlwzsjh49imAw\nCIfDgVgsBpPJhObmZoRCIfA8XzbjnEJAMgGXlpbEWzulTlQ5kibWnIWQNBnStrW1qW7NDriyU0yS\nRXbaKaZVh3TVmEwmEYlEEAwGRdVhTU2N+J6UknVIt/RyJdxUEkT85PF4cOTIETQ0NOCHP/whTCYT\nPvKRj6ChoQFnz55FLBbDbbfdVunDLQlVScidnZ1oaWmB3W5X3PEt35YF8W0gA7tshR0Acem+t7cX\n09PTAK6cvOFwGBsbG2JrgAyDyIm3W4QTDofFgNPd6mNnW3MCUv9kmqTr6upEp7JDhw6ppj1BoNRO\nMTEVqqur21Z1WEzWIVn9HBgYKMjPe7dAetnEVnZzcxN333036uvr8Ytf/KLoAIN8svTyzdtTElW5\nZcHzPDKZDJaWlmA2m9Hb26vI45IP/k4x44TIampqYLPZJIGXOp0OwWAQCwsLaGpqwvDw8LZER6bT\npGqMRqMA3p7YNzU1ia5dSoEkipAoKqUSRZQCIbr19XW0tLSIDnDFtjvKAbJT3NXVhYGBgV05juzY\nqGg0imQyKe7zEqKuq6tDOp0WPajHxsZU42hHQK96HjhwAPX19fjv//5vfPWrX8UXv/hFfPCDHyzp\n4jlKRKIAACAASURBVMGyLMbGxvDCCy+gr68PJ0+exDPPPIODBw+Kv/OTn/wEjz32GM6ePYvz58/j\nvvvuw4ULF4p9yqt3y4L8oZRyfCPYSe5MBl6EyBoaGiSbEyRzj1R0+dwayk2nycQ+EolgZWUFsVhM\nIl0tVqDAcRxcLhc8Hs+u7TsXCkJ0nZ2dOHPmjORuIVclna2uKyc5MgyD+fl5ZDKZXd8p3i42irbn\nDIfDYFlWvBNhGAYmk0k1f+toNIqZmRm0t7djenoaXq8Xd955JxobG/HSSy8pkvqcT5bejTfeiLNn\nz8Jms6Gurg5PPfVUyc+7E6qyQhYEAQzDwOPxIBqNwmazKfK4qVQKb731Fk6cOCH5fiaTweLiIgKB\ngKiwI25ZOp1O/Dk5lnLIYcnuK6mkY7FY3lsM9MCpp6cH+/fvV9W+M3DlvZ+fn4cgCBgbG8ub6Gjh\nRiQSKRtJ0zvPatwpBq4oKWdmZtDQ0ICBgQFx5SwSiYgKu2zjqd38HJA7H5/PJ1bFP/jBD/C1r30N\nX/rSl/Dnf/7nqrloFIGrt0ImKHfQKc/zWFlZwerqqhiNJAiC+DtEOOF2u8tusCO3+0oPyLLd3sgX\nx3Gw2+2ora1VlRk7Abl19Xg8RYWeGo1GtLS0SC6CNEkvLS2JQaN0n74QMopGo5idnRV3dis9iM0G\nTXS0z3NNTc2WXj1ZNytWdVgsSFXc0dGB6elpeDwe3HHHHWhtbcWvfvUr1ak/y4WqrJABiCkKy8vL\nOHz4sCKPKQgCfve73+HMmTPiMKSzs1PsEdIDO6/XC6fTie7ubuzfv181k3/ixxAMBuF2u5HJZFBf\nX4/W1laRkHYaBO0WfD4fFhYWdqUPK1dJ70TSxKc4EomUJMkuJ0KhEObm5iSf00KwneqQvsso9vPN\n87xod3vgwAHU1dXhu9/9Lh599FE89NBDeP/736+Kz6ICyOtFVC0hMwyDeDyOubk5HD9+XLHH/c1v\nfgOLxYK6ujqMjIxsGdiFw2HY7XZYrVbx52oCqerX19fFfV1C0uQrmUyK03ryVexKVTFIJpOYm5uD\nXq/H2NhYQW52SiIXSRPi9fv9GBwcRF9fn+pIg2VZLCwsIB6Pi0SnFLIHzdlZh4Sod7pTiEQimJmZ\nES+4brcb999/P7q6uvDVr35VVd7UCkAjZIZhcOnSJZw6darkx0smk5ifn8fm5iZOnTolGpyQPnEy\nmRSVVsX4ZJQbxOieruq3q2rIShX5SqfTkr1XQtJKgnhSE/GMGm9Tya21IAioqalBMpmseO81G2Td\ncmBgQLS9LDfIpgu94ZFLdcjzPBwOB8LhMA4cOIDa2lp85zvfweOPP44vf/nLuOGGG1R3gVMAV3cP\nuZTUEBr0wG50dBSxWEyMSCJmJ06nE6FQCDabTZUkQvyTzWZz3v7J2Tlt9N5rKBSCy+UCwzDiCUdO\numLuCOisvZ6eHlVaT5Jettfr3bJTnMvxbbdJmqyyAcDU1NSuBtvSWYdkzVROdZhOp8EwDKxWK5xO\nJ3Q6HR566CH09fXh17/+dVUkR5eCqq2QM5kMeJ7HK6+8gne84x0F//vsgV1vby8EQYDD4YDX64XR\naBQr43379qlyMyGTyYhZbKOjo4p/2GkFGfkiPWmapLfbsyYqNpPJhNHRUVWlYxMUs1NMk3Q0GhVJ\nutTVRDkQJZvL5YLNZlPEjVBpcBwnVsXDw8MIhUL49Kc/jUuXLsFkMuHQoUP4yEc+gltvvbXSh1ou\nXN0ti2IJmTauzzWwI8MmMgCLRqNIpVKSW/qmpqaK9Y9JCgq5mOzWbSsgdfAiXxzHSUia7FQ7nU4E\nAoGSHPjKCXqneGJiouSd4nKQdDwex+zsLOrr62Gz2VS34QG87ZHR29uLffv2YW1tDffeey8GBwfx\nz//8z2hsbMTKygoikciOoqt8cfvtt+PHP/4xOjs78Yc//GHLzxW21swHVzch5/JE3g6hUAjz8/Oo\nq6uDzWaTeLPqdDpEIhHY7XZxoEdXc0QlFQ6HRSIit/RNTU3iCVfuE4bEJ7W1tWFwcFAVJyjpL5L3\nJRAIIJVKiX4Nuy0J3wnZO8WlugRuh2JJmm6hTExMqM6MCrhSFS8sLCAWi2FychIWiwX//u//jn/5\nl3/BV77yFfzZn/1Z2d7XX//617Barbj11ltlCfns2bN49NFHRRXe/fffX25rzau7h0yQTw5eIpHA\n/Pw8OI7DxMSEOLAjCjsiJc5kMhgfH5ddb6JVUl1dXQCk1SKpujmO2yJ7VoKIyGvQ6XSqs+0kBKPT\n6eDxeNDS0oLh4WFRQUZy2QBIiEhpSXg+2O2d4u32pLP3gcl7o9frsby8jK6uLlX224Erhk9zc3Po\n7+/H2NgYVlZWcO+992JkZAS//e1vy74ieN1112FpaSnnzythrZkPqpaQyZWXGH/LETLpsQaDQdES\nk+M4cWBHvGEDgYAoJS70GLL9XumVobW1NUSj0S2yZ6vVmnflQHL4gsGgaoeKxHo0FAptESZsJwmP\nRqNl67vKHaNadopzkXQoFILT6RQDVzc3N5FKpcr+3hQCsm6XSCRw9OhRWCwW/Nu//RuefPJJfPWr\nX8Wf/umfqmKDohLWmvmgagmZgPhZ0BUjz/NwuVxYW1vDwMAAxsbGtijsSA923759ilYhubwpSMAj\nUY4RRR1pd9ABj+QYySBn3759sNlsqvig06CtO/ft24fR0dFtj5GYuNO337QkXE5VV6qxPS0b37dv\nn8SnWE0ghlT79u0T9553qqR3m6TJ8HPfvn0YHx+Hy+XCPffcg4mJCbz88suqWwVVI6qWkOkKmRgM\nCYIAj8eDxcVFdHV14ZprrhFX1wj8fr+YRL1bMlg52TMt1tjY2JCINQwGAzwej2rjnYArt/5zc3Oo\nr68v6RhzvTd02Go8HofRaJQMVLMvYHJIJpOYnZ3Ny6e4UmAYBnNzcxAEYcsqm1wlTV/AdoukWZaF\n3W5HKpXCsWPHYDab8eSTT+Kpp57C1772NVx//fWqu8hVwlozH1QtIROQHjKRkFqtVkxNTYkDOyLs\nILu6Fosl713dckIu4ZgMHRmGgcVigd/vRzKZlFSLlSZnetVufHy8LBFAudJHyAXM6/UikUjAbDZL\n3hsiCaf9McbGxlTZ5hEEAW63G8vLywWZFeXK8ysXSfv9ftjtduzfvx8TExNYWlrCvffei4MHD+Ll\nl19WnUc1wU033YTHHnsMN998M86fP4+mpqaKtyuAKt6yIJ7IdrsdPp8PZrMZY2NjqK+vlxBxOp2G\nw+FAKpXC6OioKuPEiYJtc3NTYrBD9oDpzQ6yYkZaHbu1vUATyG6v2uUC8TMhX6lUCnq9HqlUCq2t\nrRgZGcmrkt5tJBIJzMzMlHWVTc4dsBCSJucWwzCYmJiAyWTCk08+if/4j//AI488guuuu66i7+tH\nP/pRvPTSS/D5fOjq6sLnP/958U75rrvugiAIuOeee/D888+L1pokJKJMuLrX3jKZDC5fvgyv14u2\ntjZMTk5KLDHpNAe1ev/SPdi+vj709/fvWMXQK2bhcHjL9gIJ2lTyljUSiWBubg6NjY07Gu5XCmSn\nOJVKobu7W1QdZkvCK70/Tvyox8fHd303O1+SDgQCsNvtGBwcRHd3N5xOJ+69914cPXoUX/rSl1Rb\nFVcYVzchsyyL1dVV6HQ6+Hw+2Gw2sVJ0u91wuVzo7+9HX19fxSfTcqDjk4aHh0siiVxeyfTtfF1d\nXcEXJJLFlkgkREN+tWGnnWJaEp69P76braBIJILZ2Vm0t7djcHBQNZ9J+rMTCoUQCAREX5SVlRWE\nQiH84he/wDe+8Q1cd911lT5cNePqJmRSIdbX14vm8CzLIpPJiJVcU1OT6qridDqNhYUFpFKpspIc\nGYyRdgfdcyXtjlx9dJrkhoaG0NXVpbr3EZDuFA8PD+d965+PJFwpkQ8RT0SjUdGUXY0ghkVDQ0No\nb2/HCy+8gEceeQTBYBBGoxFmsxlf/vKXcf3111f6UNWKq5uQL1y4gL/7u79DOBxGT08PPB4Pbrjh\nBtx2223geV60UzQajSIBNTU1VWyYRw+ahoeHy6oOywW65xoOh5FOp1FbWyu5nSfeEy0tLRgaGlKF\nEjAbZO85HA4rtlNMjHLobEM5SXgh/XoyECN3amq8qNFbHhMTEzAYDHjiiSfwve99D9/4xjfwzne+\nE8AVCbcgCIqutj3//PO4//77wXEc7rjjDjz44IOSn4fDYdxyyy1wuVxgWRaf/OQn8bGPfUyx51cY\nVzchE9x33314+eWX8Z73vAderxe///3vodfrcfz4cUxNTWFqagqdnZ1itUhIiCbpcpIO7XRGzOzV\ncrtKbufD4TCCwSC8Xi84jkNLS4vE0F5NkufNzU04HA7Jvm65kC0Jj0aj4Hl+i8gn+/0h/WyO4zA+\nPl7xjZ5cICuiw8PD6Orqwvz8PO677z6cOnUKX/ziF8uqBuU4DmNjY/j5z3+O/v5+nDx5Et/97ncx\nOTkp/s5DDz2EcDiMhx9+GJubmxgfH8fGxoYq1xehSaev4M4778TXv/518cQUBAGxWAyvvfYazp07\nh4cffhjz8/NioOKJEydw7NgxmEwm+Hw+LC4uinJnIlpQStIbjUbFdOrjx4+rzulMp9PBYrGAYRiE\nQiFMTEygo6NDlINvbGzAbrdLSKgcKdj5gOwUm0ymXdsppi0nyQ6rnBITgPh7JOvRZrOpMncPuHLB\nmJ2dhU6nw4kTJ6DX6/GNb3wD//Vf/4VHH320KPfEQnHhwgXYbDYMDw8DAG6++WY8++yzEkLW6XSI\nRqPiOd3a2qrKO7ZCsLePPg9ku0cRmfL1118v9rvIytaFCxdw7tw5/Ou//iu8Xi9sNhtOnDiBEydO\nYHBwEJlMRiLppavoQtanGIaBw+FAPB7H2NiYKlftgCvqMLvdjtbWVpw6dUqs9KxWK6xWq+h7y/O8\nOPih3x+l1HTbQW07xbmUmMT0SRAE6PV6LC0twe/3q0r2DLxdFZPd59nZWdx33334oz/6I7z88su7\nVs3LSZuzzX/uuece3HTTTejt7UU0GsX3v/99VbyHpaDqCTkf6HQ69Pb24kMf+hA+9KEPAbhyEs3N\nzeH8+fN49tlncenSJWQyGRw5cgQnTpzA1NQUWlpaEI/HRSGCxWKRkHR2lcbzPFZXV7G2toahoSFM\nTEyosm+YTqdht9uRyWRw6NChHeN/yMWJljxnB6zG43GYTCaJ812p2X3BYBDz8/Po7OzEqVOnVHky\nEl/tjY0NHDhwQFTVyQWt5psSXg6k02nMzs7CYDBgenoaOp0OjzzyCH70ox/h8ccfxzXXXLMrx1EI\nfvrTn+LYsWN48cUX4XA48O53vxvXXnutagucfKARcg4YDAZMTk5icnJSHBQkEglcunQJFy5cwGOP\nPYbLly+joaEBJ06cwPT0NI4dO4b6+npJogYRaZAqnJCHWvquNAh5uN1ucUWsWBiNxi1qOuLuFg6H\nsb6+XrSHNMMwoihBbc52NMgqW1tb25YLhpzsWU4SbjKZJHcaSgtZ6F13Ym4/MzODe++9F+9617vw\n29/+tiI97nykzU899RQefPBB6HQ62Gw2DA0NYXZ2VpHItkqh6od65YQgCPD7/bhw4QLOnz+PCxcu\nYGVlBfv378fJkycxNTWFmpoazMzMYHJyUkwZaWhoECvK3ayCtgNZ9u/o6Ngxb08p5NoBzrVeRq/b\nkYBWNbx32eA4TnS3O3DgQEmbBwzDSHbIt5OEF4p0Oo2ZmRmYTCbRVOnrX/86/vd//xff/OY3cfLk\nyaKPu1SwLIuxsTG88MIL6Ovrw8mTJ/HMM8/g4MGD4u/cfffd6Orqwuc+9zl4PB5MTU3h9ddfL9iV\ncZegbVlUAiTW/MUXX8QTTzyB9fV12Gw27N+/XxwaDg0NiYMxudW73Ux4TqVSmJ+fhyAIGBsbq3i1\nSTykaTk4z/OwWCyIx+NobGzExMSEWifp4iobUVaW4+8oJwnPTgnfrqqlZe6jo6Nob2/H5cuXce+9\n9+JP/uRP8NnPflYVA+azZ8/igQceAMdxuP322/GZz3wG3/rWtwBckT+vr6/jtttug9vthiAIePDB\nB3HLLbdU+KhzQiPkSuJb3/oWamtr8dd//ddgWRZvvPEGzp8/j/Pnz+PNN9+E2WzG8ePHMT09jePH\nj6OtrU2shFKplGT1rhxKMXoYRvtjqA3EpzgQCKCjowPpdBqxWEziIa2GOw2yysayLCYmJnb1Np+k\n1eRKCSefI7PZjFQqhZmZGVgsFtF29pFHHsFPfvITfPOb3yy3n8PVDI2Q1QpBEBCJRHDx4kWx1eFw\nONDT0yP2ow8fPgyj0SgxDSKrd8Q0qNghFskELCS0c7ex004xx3ESAiJDMfoithvGQXQPVk1tFLl2\nUDweB8dxMJvN8Hq96OjowGc/+1m85z3vwWc+8xlVVMVVDI2Q9xIEQcDq6irOnTuHCxcu4MKFC2IA\nKGl1jI6OioMxerWM9KN3IqBkMom5uTno9XqMjY2pVpBAjtNoNGJsbCzv9gSx4CTtDtpDmhC1kqRD\ndp8tFgtGR0dVaaoEXDnOmZkZ1NbWoq+vD7Ozs/jSl76EN998E01NTTh+/DhuueUWfOADH6j0oVYz\nNELe62BZFjMzMzh37hwuXryIS5cuQRAEHD16FNPT05iamkJ3d7coRMi1ekfsO30+H0ZHRyu+q5sL\n5dgppqvEcDisiHGQIAhwuVxwu92q2H3OBTr5hhznm2++ifvuuw833HADPv3pT8NgMGB+fh48z0sG\nZkpgJ+kzgP/f3rnGRHV9bfx3EAHBglqMiICiICAIcmvRJkaS+tLiBatN2w+N+hqblEpEk+IladRY\nqtLY1r416t9LbbVaYts0/lMBEw3eZbgVLMpNBS2opSogOHIb9/sB5zh4HXWYOeD+JURm2OEskFmz\nz9rPehZHjhxh0aJFtLe34+7uztGjRy0ag4aQCbm3YfRTKCgoUHfRRl8JU+ldv3791ASk1+vVdmcf\nHx/c3Nw0Kbkz1RR3ZxnFdPDsg+UgY4J+koe00bDI6OWhxd8ldO6Kz507R//+/fHz88NgMLB+/XoO\nHTrEli1bGDduXLde35zW54aGBiZMmEBWVhY+Pj7U1dVptnvRAsiE/DJgnAlnPDDMy8vj6tWrDB48\nmBs3bhAbG0tiYiJ2dnZqqUMIoRnpnammOCAg4KlNKN2B0ZPCWOp4lIe0k5MT1dXVagu5Fq1G4X7p\nq7a2lsDAQAYMGEBxcTHJyclMnTqVZcuWWUWhcvr0aVatWsXBgwcBWLt2LQDLly9X12zatIkrV66Q\nmpra7fFoAOll8TKgKApDhgxh+vTpTJ8+HYB169aRnp7OtGnTqK+vZ+7cubS0tBASEqLupI2eFFVV\nVTaR3pkOabX1YZipJ4URUx/giooKGhoacHR0xN3dXTVufx4P6e7EOGnklVdeITo6mo6ODlJTU8nO\nzmb79u2EhoZaLRZzWp8rKipob29n0qRJNDU1kZyczOzZs60WoxbpcQn5aXUpIQTJyclkZGTg7OzM\nDz/8QEREhI2itQ1Tp04lJSWly+10a2srRUVF5OTksGXLFkpKSnB2diYiIkKV3rm5udHU1KR20XWX\n9M44ANWYOLRoCNOnTx9cXFyora3Fzs6OCRMmdFG9mM7te7Ad3NoIIfj777+5cuUKQUFBuLm5UVRU\nRHJyMjNmzODYsWOaPHDs6OigoKCAw4cPc+fOHcaPH09MTAyjR4+2dWg2Q3uvhCdgMBhYsGBBl7rU\n9OnTu9SlMjMzqayspLKyEp1OR2Ji4kPvzL2dBw2VABwdHXn99ddVTwIhBPX19eTl5ZGTk8Ovv/5K\ndXU1Xl5eREVFERUVxfDhw9WJKw+63j2P9M5gMHDhwgWL+hR3B8bp5FVVVQ8Z8D84eNao/21sbKSm\npqaLh7Tx99SdyfD27duUlpbi5uam7opXr17N8ePH+f777xk7dmy3XftJmNP67OXlxauvvoqLiwsu\nLi5MnDiR4uJimZB7CuZY8u3fv5/Zs2ejKAoxMTE0NDRw9epVTUyU1RKKojBo0CDi4uKIi4sD7qsc\ndDodR48eZf369TQ1NREYGKiWOoYMGUJLSws1NTXPJL2rq6tTNcX+/v6autU3xdg44eDgQFRU1FOT\nqaOjI4MHD1Z9P0ynjdy4cUN9I3sRI/tHIYRQFSmBgYG4ublRWFjIokWLmDVrFkeOHLHprjg6OprK\nykqqqqoYNmwY6enp7N27t8uahIQEkpKS6OjooK2tDZ1Ox+LFi20UsTboUQnZnLrUo9bU1tbKhGwG\ndnZ2+Pr64uvrywcffAB0antLSkrIyclh9+7dnDlzhj59+qgG/5GRkbi7u9PU1PRI1ztHR0cuXryI\nvb09ERERmm0+ML3t9/f377ILfhYURcHZ2RlnZ2c8PDzU7208NHzQQ9r4e3oWD+nm5mZKS0sZOHAg\n0dHRtLW1sXLlSk6fPs2PP/5ocfna82Bvb8/GjRuJi4tTW5+Dg4O7tD4HBQXx1ltvERoaip2dHfPn\nz3/k3d3LRI9KyBLr07dvX8LDwwkPDycxMREhBE1NTarB/5o1a1RTIlPpnaIo6HQ6nJ2dVTOca9eu\naW7KCNxPcAMGDCA6OtrisSmKonpIG2/bDQaDqh+/fPmyelBo6nz34KGh8Q7m33//JTAwEFdXV/Lz\n81m8eDHvv/8+R44c0VQ9Pj4+nvj4+C7Pffzxx10ep6SkkJKSYs2wNI12/vfMwJy6lDlrJM+Poii4\nuroSGxtLbGwscF8xYTT4T0tL49KlS0RERBAbG0t4eDgeHh60t7erO0QtSO8MBgNVVVXcvHmToKAg\nq9a0jW3ebm5u6h2dqYe0cZq30UPawcGBq1evqpNt2traWLFiBTqdjp9++omgoCCrxS7pPnqUDtkc\nS74DBw6wceNGMjIy0Ol0LFy4kNzc3Be+9tPUHXv27CEtLU1NNJs3byYsLOyFr9vTyMrK4rvvvmPD\nhg1qXTA3N5fCwkIMBoNq8B8ZGYmXl5e6S2xubu5iYN/d0rv6+nrKy8sZOnQo3t7emvTzgM6admVl\nJfX19fTr149du3bx119/UVdXx5tvvklqaqpaGpFomt7ZGPI0Sz4hBElJSWRlZeHs7MzOnTtf2MHK\nnK6jU6dOqRMhMjMzWbVq1Uun7oDO22pFUR6ZSPV6PYWFhWqXYWlpKa6urmqpIzw8HBcXl251vWtv\nb6eyspKWlhaCgoJsbjf6JJqamigtLVU9qltbW/n88885c+YM06ZN49q1a+Tn57NmzRqLT/Qwp+0Z\nIC8vj/Hjx5Oens67775r0Rh6Gb0zIdsCc7qOTKmvryckJITa2lqrxdgTEUJw/fr1Lgb/NTU1DB8+\nXDVUCgkJUd3xXtT1zjgvbsSIEXh4eGhW6XH37t0upZT+/fuTk5PDp59+yocffkhycnK31uDN2YAY\n102ePBknJyfmzZsnE/KTkZ16lsIcdYcpO3bs4O2337ZGaD0aRVEYPHgwU6ZMYcqUKUBnMrpw4QI6\nnY5Dhw6xbt069Ho9Y8aMUZP00KFD0ev1ZkvvWlpaKC8vp0+fPlabSP283Lp1i9LSUoYMGUJkZCQt\nLS0sX76coqIi0tPTraLRNUdeCvDdd98xa9Ys8vLyuj2mlwWZkC1MdnY2O3bs4MSJE7YOpUdiZ2eH\nv78//v7+6vSHtrY2iouL0el0bN++nZKSEhwdHVWD/4iICNXg31R65+rqSnt7O/X19QQEBDy3lM0a\nGCfNGO+uXFxcOHXqFCkpKcyZM4evv/7aasoUc+Wlv//+O9nZ2TIhWxCZkM3AXOXGmTNnmD9/PpmZ\nmZp+8fc0HBwciI6OJjo6mqSkJIQQNDY2qgb/K1eu5OLFi3h6ehIREUF0dDROTk4cP36cmJgYHBwc\nqKioUAfOak1619jYSFlZGR4eHkRFRaHX61m6dCklJSXs27cPf39/W4f4EIsWLSItLU2zh6E9FZmQ\nzcCcrqPLly8zc+ZMdu/e/VK3floDRVEYMGAAkydPZvLkycB9j+ITJ07w1Vdfcf78eUaNGkVBQYFa\n6vD09KS1tVUz0jvjMNTGxkZCQkJwdnbm5MmTLF26lHnz5rFhwwabvGmYswHJz89Xm4euX79ORkYG\n9vb2zJgxw6qx9jbkoZ6ZPE3dMX/+fH777TeGDx8OdHYq5efnW+Ta8sTbfPbt28elS5fUFtyzZ8+q\ntqR//vkniqKoBv/GerRR1WFN6V1DQwNlZWV4enri7e2NXq9n1apVlJWVsXXrVkaNGmXxa5qLOfJS\nU+bOncvUqVNf2r85M5Eqi96APPG2HMYW5vz8fHJzc8nLy6O8vJxBgwZ1kd4ZDf67Q3pnMBg4f/48\nzc3Nquzu+PHjLFu2jI8++kj1rrY1T9uAmCITslnIhNwbMFdyt2HDBvr27UteXp58cTwDRmc3U4P/\na9euMXLkSDVJjxkzpstQ1eeV3hmbUYYNG4aXlxe3b99mxYoVnD9/nm3btuHr62uFn1hiI6TsrTcg\nT7y7F0VR8PDwICEhgYSEBKBT8VBRUUFOTg5//PEHq1evpq2trYvBv6enJ7dv336k9M7V1bWLD4XB\nYKCyshK9Xk9YWBhOTk4cO3aMZcuWkZiYyKZNmzSxK5bYHpmQewHyxNuy2NnZERgYSGBgIHPnzgU6\ntcxGg/9NmzZx9uxZXFxcVIP/iIgI1eDfVHrn4OBAQ0MDnp6eBAQE0NzczOLFi6murmb//v2MGDHC\npj+rRFvIhKxx5Im3NnByciImJoaYmBigs9Rx8+ZN1eDfeJjo7e1NVFQUwcHBZGZm8s477+Dt7c2e\nPXtIT0+ntbWVN954g88++6w3D/SUPCeyhqxx5Il3z+Hu3btUV1ezfft2tm3bRmBgII2NjQQEBFBX\nV4eTkxNLliyhpqaG3Nxc4uLi1DmIlkQaYWkS86Q6Qohn+ZDYgAMHDgh/f38xcuRIkZqaKoQQ9DNE\ntQAABGpJREFUYvPmzWLz5s0PrZ0zZ4745ZdfLHbtzMxMMXr0aDFq1Cixdu3aR67Jzs4WYWFhYsyY\nMWLixIkWu3ZPpKOjQyxcuFDU1NQIIYRoa2sT+fn5YuXKlcJgMFjl+iNHjhQXLlwQra2tIjQ0VJw9\ne7bLmpMnT4qbN28KIYTIyMgQr732WrfHJTEvx8odsuSxmCO5a2hoYMKECWRlZeHj40NdXZ28Fbch\n0ghLs5i1Q5anQJLHYmoy4+DgoJrMmLJ3715mzpyJj48PgEzGNuZxI8wehzTC0hYyIUseizkv7oqK\nCurr65k0aRKRkZHs2rXL2mFKnhOjEVZaWpqtQ5HcQ6osJC9ER0cHBQUFHD58mDt37jB+/HhiYmKk\nn4eNkEZYPRu5Q5Y8FnNe3F5eXsTFxeHi4oK7uzsTJ06kuLjY2qFK7mFqhNXW1kZ6evpDSg5phKVd\nZEKWPBZzXtwJCQmcOHGCjo4O9Ho9Op3OogM3s7KyCAgIwM/Pj3Xr1j309cbGRqZNm0ZYWBjBwcHs\n3LnTYtfuidjb27Nx40bi4uIICgrivffeIzg4mC1btqheFKtXr+bGjRt88sknjBs37oVHnEksiLly\nDCFlby8l5kjuvvzySxEUFCSCg4PFN998Y7FrmyPh+uKLL8SSJUuEEELU1dWJgQMHitbWVovFIJFY\nCLNyrKwhS55IfHw88fHxXZ570O0rJSWFlJQUi1/bnFFCiqLQ1NSEEILm5mYGDRqEvb38s5b0TGTJ\nQqJZzFF5JCUlUVpaiqenJ2PHjuXbb7+Vnh6SHov8y5X0aA4ePMi4ceO4cuUKRUVFJCUlcevWLVuH\nJZE8FzIhSzSLOSqPnTt3MnPmTBRFwc/PD19fX8rKyqwdqkV42gGmEIKFCxfi5+dHaGgohYWFNohS\n0p3IhCzRLOaoPHx8fDh8+DAA//zzD+Xl5WrNuSdhMBhYsGABmZmZnDt3jp9//plz5851WZOZmUll\nZSWVlZVs3bqVxMREG0Ur6S6e1ctCIrEqiqLEAxuAPsD3QogvFEX5GEAIsUVRFE/gB2AonX4B64QQ\nP1nw+t8DU4E6IUTII76uAN8C8YAemCuEeOatq6Io44FVQoi4e4+XAwgh1pqs+Q9wRAjx873H5cAk\nIcTVZ/7BJJpEHkdLNI0QIgPIeOC5LSafXwH+pxtD+AHYCDyuJ/xtwP/ex+vA5nv/PivDgL9NHtc8\n4vs8as0wQCbkXoIsWUgkT0AIcQy4+YQlCcCue1rTHGCAoihDrROdpLchE7JE8mI8btf6rNQC3iaP\nve4996xrJD0YmZAlEm2QB/griuKrKIoD8AHw3wfW/BeYrXQSAzTK+nHvQtaQJZIXwyK7ViFEh6Io\nScBB7h9gnjU9wKSzlh4PnKfzAPF/XzB2icaQKguJ5CkoijIC+OMxKospQBKdifJ14P+EEK9ZNUBJ\nr0HukCWSJ6Aoys/AJMBdUZQaYCXQF+SuVWJ55A5ZIpFINII81JNIJBKNIBOyRCKRaIT/BzxpUCAh\nUMlOAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111,projection='3d')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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L7v+ZzWbJnjQ9iqmpqUmRMkOt5VlMxKT/F41GC17l9SIBWobGcRzsdjs6Ozvz1A1LS0sF\nm2Z0L1bPXms9tAosFgvsdjsaGhrQ1dUlfF9vV6JS1JMxhEjerFYrTp8+jZ/97Gd4/etfjw984AOa\n17506RJOnTolFDivf/3r8f3vfx+f/OQnNa9NwyBkvCZdi8fjwsWqNUCbbNxsbm5iYmKiIAOiHIgz\nkXmex/r6OoLBoOpRTEoJWY6ICarZ2yWEKKduoHuxm5ubQi+WJiO3233VBw9J6ZD1diUqRT0RsrhY\n0VNlcfDgQXz2s5/F9vY2nE4nnnzySZw4cUKXtWlc04RMa4iJLvdXfuVXNN2sxPGWzWbR3NwMr9eb\n1y/VAlIhk77YwsICWltbcfz4cdXTP0oRcikiJjCZTIpzmrVAibpBbtOMVI70RiK9IUSIqVTlWA8V\nMqBOZVGuK1Hp9JJ6OScAhAcNQTQa1W1Tb3p6Gp/61Kdw8803o7GxEUeOHKnIg+iaJGQiXaMnW2gd\nKxMOhxEIBMBxnGA9Xlpa0jUJzWw2Y2VlBZubm2hrayuLiOm1pI5NKRHT69Ra/VAMcr1YekOIrhxJ\nsA5dPZKbvF7IRw/ZWylXonjMVDFXYj2cE6CwQo5EIrrqkD/0oQ/hQx/6EADgM5/5TEH8qR64pghZ\niZlD7Xo7OzsIBAKwWq0YHR3NeyJbLBZhGKQWcByH5eVlbG9vw2q16qJVFhOpWiImqHbLQi/IVY4k\nWCcejxcQEnCFyOLxeE1nAlYqy6JYKL6cKzGdTsPv91fMlagG4go5EomojgIohs3NTXR0dGBxcRHf\n//738cILL+i2NsE1QchqzBxK1yOyMofDgampqYLoR+DKTZ9IJMr+HNo00tnZic7OTvT29uqyKSNl\n6FBDxATVtE5XA1LBOjzPI5PJYGFhAZlMBouLi8LvVa2pQw9UO8uiWN/+7Nmz8Hq9FXMlqgEZGEug\nNyG/853vxPb2Nmw2G77xjW9UxAW4pwlZrYa4lBSMVjN4PJ6isjJA3Rw8GizL5k2JJqaRmZkZ3Vog\nDMPg8uXLsFgsZRExgVTrI5fLIZVKweVy1c3rrBaYTCYhn8LtdqO3txdAoaljfX0dqVSqYIKJ2+3W\nVYJWT049s9mMffv2VcyVqAYMw+Tdj4lEQtd5jM8884xua8lhTxKyFBEr+aVbrVZhY4MGvYmmRs2g\nlpAZhhGIuLe3t8C9Rzb1tIBUxLFYDENDQxgcHNS0Hl0h53I5LCwsCM49oo+VcuFp+ZxaQjwtRcrU\nUWyCCd2bLvdc1Ashyx2HUlfi+vo60uk0AH0s9XTSG7lW6uE8qcGeImStZg6r1YpcLicQMundLi0t\nob29XfUmmlJCZhgGCwsLWFtbQ19fn6x7Tyx7UwNxayIUChWt7pWCqCz8fj/W19fR39+PU6dOgWEY\nmM3mAtlVMBgUHno0SVfL3KEFSjf1ik0wkTsXYsVHsXNR6TxkpVCbY1GOK1HNrERxFrJW6WotsCcI\nWS8zB6mQGYbB8vKy0DK4/vrry6pkShEyXVH29/eXtFGXUyHL9Yi3trY0tz9YlsX6+jo2NjYwNjaG\n06dPFzw0pDbPxJtEtLlDXClVoyerFFor9GIbifSGWTKZBMuyeW0SEqxDNmProfLTS4Os16xEmpDr\n5aGlFlc1IZMbmxCA1ieiyWTC4uIiotGoLoE/hODFyGazmJ+fRygUUmWjVtMCKbVZp2U4Kd3jbmlp\nQWdnp6rWR7FNInIDxmIxrK2tCZUSUQAQwq7VRIpK3ORyygYS40nSz0gfNpPJYGVlBU1NTXC73TVL\nzKt0joXaWYlkMnooFMLm5mYBwWvBfffdh29/+9swmUw4dOgQHnzwwYrE417VhExn02q5IAlBbmxs\noLOzU6j0tEJMoCTPYnt7u6w8C4vFgmw2W/TvKFVNlEPIHMdhaWkJy8vL6O7uxqlTpxCPx7GysqJq\nHTmYTCah4uno6BC+z7Is5ufnkU6nCzTDpLKqxsSOauqQ5WI8OY7DSy+9BJfLhVgslreRKGV0qeTx\n1sqlJ+dKPHv2LLq7uxEMBvHEE0/A5/PhyJEjaG1txZ/+6Z/iDW94Q1mft7Kygr/8y7/ExYsX4XQ6\n8e53vxuPPvoofud3fkeHnyYfVzUhA9oqvXQ6jWAwiN3dXQwODmJ4eBgNDQ26XWTk2OjP0ZJnUaxl\nQYiY53lFE0DUnDeO47CysoLFxcU81QdQnc02i8UCp9OJhoaGPDE+edUnDwWijXU6nQXh+HoQUz0Y\nQ8jbQkdHR951Sl7v4/E4dnZ2CrIs6IeWXql59WSbJmhubsZb3/pW9PT0wO1246GHHsLOzo7m3xvD\nMEilUrDZbEgmk+jp6dHpiPNx1RNyOUgmkwgEAojFYhgeHsbU1BRMJhOWl5clWwzlIpPJIJVK4dy5\ncxgaGhI+p1xIbeqpJWICJf1oMsVkYWEBHR0dkr10LQ9ENZAifrlX/VQqlWcLlqogiRRNDepB5QFI\n65DlXu/p6Rxii7TWTdV6JGQCOguZvj7KQW9vLz7xiU9gYGAATqcTN998M26++WY9DrMA1xQhx+Nx\nBAIBpFIpDA8P48CBA3kEabVahT6dFiSTSQSDQUSjUSF5So/KiibRcomYXiuXy0n+GZnrNz8/j337\n9uHkyZOy5CVXIevx87IsEI8Daua60pKr/LXYguxcuu2hVOFQ6wqZQOlxSE3nIHsvpD+9vLyc93ah\nNDGvnGkhlYL47UXPYKHd3V38y7/8C4LBIJqbm/Gud70L3/3ud3H77bfrsj6Nq56QlVyYkUgEgUAA\nDMMUHXEvtwmnFMlkEn6/H4lEAiMjI9i/fz+ef/553W5ii8WCVCqFl19+uWwiJpCqbOn0uLa2NkUW\n7Uq1LJ591oI77nAgmQTa23ncc48dg4PSDxAlkMtclrMEi4nJ5XLVRctCD9CbqlIbieR80Il5Ujrh\neqqQxcei57SQ//iP/8Dw8LCgqX7HO96Bn/70pwYhq8Xu7i4CgQAAZZOVyyVkuvIeGRnBvn378m5c\nPW7kaDSK2dlZJBIJHD16VPPTnyZk4kAMBAJoaWlRpbeuRLjQ5qYJ/+N/OMBxPNxuYGsL+JM/6caj\nj/p0/RygeNtDHOWZyWQQiUSQTCYr4sCrNeiNRCWjtxiGEa4T+nzUAmINcjgc1i1lcWBgAC+88AKS\nySScTieeeuqpikRvAnuAkMU3Az1Hzm63Y3x8vKAqkoNaQo7FYggEAshkMhgdHZWsvNVMnpYC3Zro\n7+/HxsaGLq9ipP2xubkJv98Pr9eLY8eOqZbymEwmyR6yloeQz2cGzwPkmdDYCESjZmxtWVHmwAdV\nkHOa+Xw+NDQ0wGq1Ynd3F0tLSwWjpsh/9Z6PWEvIjd4KBoMwmUywWCyyo7eqdT7EhByNRjExMaHL\n2qdOncJtt92GY8eOwWq14ujRo/jwhz+sy9pi7Jmrhud5bG5uIhgMorGxEfv371etQ1RKyGTUPcMw\nAhHLoVxCluoRp9NprK2tqVpHCjzPIxqNYm1tDSzL4siRIyUnjMhB3LJgWRaLi4vY3t7O20BTEy7T\n0cGBYQCL5coXaXU3Nem34VouGhsbC37fcpGVDoejQO1RLz1XPcDzPDweT54sD8g/H+vr68JGIonw\npNtAerU8xISsd7DQ3Xffjbvvvlu39eSwJwiZKAG8Xq+i8UVyKEXIkUgEfr8fHMdhdHRU0S9cbZ5F\nsc06rVkW5O3B7/fDarWira0NBw4cKHs9ckwk6J/YzLu7uzE2NibIsEKhUN70DkLScq+4Y2M8PvSh\nLP7u7+ywWACOAz71qS24XPWhchBDLluY7seKz4FY7XE1tj3keshy54Pu15NkOJ7nJR9cWnIsAP2z\nkKuFq56QI5EIotGoqvFFcqCHktIIh8Pw+/0wmUwFmcdK1lRCokpUE+WmxwEQiNjhcODgwYNCJasV\npN/6/PPPo7OzE6dOnRIMLC6XK696orWyUkoH8uVyufCJTwC33MJiedmE8XEObncCqVRtCVlNG6ZY\nP5aoPWg7MK0XvlraHmo29bSM3iLnQ02Ohd4VcrVQ379xBWhubtYtYk/8y97Z2RGqSTW9aBqlqm41\n8rVyNL+7u7vw+Xyw2Wx5bZx4PK5JP0wUGWQC8unTp4Vql+d5SfKS08rSBg+Sa8HzPJxOJ6amrhBU\nOp2ruQ5Yj81Zs9lcVC9MUtDi8bgQjE+TdLlvf5WAHrI3JaO3wuEwVlZW8kZvFcuxAPQd31RNXPWE\nrPerHv1ab7fbZcPnlUKuqi1HR6zmZw2Hw/D5fLBYLJI/Q7mGDp7nEQqF4Pf70dzcjGPHjuEXv/hF\nQetBzbFKKR1IVCOZhbezs4NMJoOdnZ28avpqqCSVQE4vnMlkhIcVybNIJpN49dVX817zazG4tZKy\nNyWjt7a2tgQbPcuycLlciMfjWF1dRTKZLKuAqjWu/itZJxAiTiaTWFlZKWtTUApiQtZq6CiFSCQC\nn88Hk8mEiYkJ2YtSTh1RDNvb2/D5fMKQR6fTKVTDeoN21nV2dqKpqQnxeBx9fX2SI5ZIH5LeRKzE\nw7qapEeC8R0Oh9D6yeVy+OUvf4nBwUHhYbWyslKQt0zOQyUfVrXQIcsl5s3MzMDhcGBzcxMPPvgg\nlpaWcOLECQwMDOBd73oXfvu3f7usz5uZmcF73vMe4f8DgQD+z//5P7jrrrs0/RxyuOoJWesNQiq+\nQCAgvBIePHhQt91wQsiVJuJYLIa5uTnwPI+xsbGSr2tqKmTS9rDb7Th48GBei6jaVZlcJUk20OLx\neIFdmiZqLTkO9WAMIbZpueqRtowTMxStbiA9ej2u70qnvakBz/NoaWnB4OAgvvOd7+DGG2/Eyy+/\njOXlZSEEvxxMTk7iF7/4BYArD6De3l7ceuuteh12Aa56Qi4XRCYXCATg8Xhw3XXXweVy4cUXX5Sc\nGlIucrkcVldX4XA4KkbERIKnZhSTEkKORqOYm5uD2WzW3LqpJOQ20IhdWhwIXy5B1bqHDRSfFmK1\nWmXbHuQ8kLdAQPuUjnqZXAJceRiRhwM9SX5gYEC3z3jqqacwOjqqecpOMewJQlZj36Xn4nm93gIN\nrtwYJ7UgFXEqlUJLSwv279+vaT0x4vE4/H4/stlsSS20FIoRcjwex9zcHFiWxfj4eF1sjpRj0Zay\nS9PyKymCEkvyxARV6wpZLQnSbQ9a3SDu0RP3ndqRW7U+HwQMwwjHGY/HK1I8PProo3jve9+r+7o0\n9gQhKwEdmFNsLp7WPAtxayKTySAWi2k59DxwHIdXXnkFqVQKY2NjeTeZGkgRcjKZhM/nQzqdxtjY\nmOaUrHqEnPyK3tWXcuG53e68YQi1gl5VqbhHT6B05Jaew0P1AF0hRyIR3Tf0stksfvCDH+Cee+7R\ndV0x9gQhF6ue6AGlra2tJXMayiVkuR7x9va25sGkwGuRoalUCuPj4+jo6NA8HYUgnU7D5/MhHo8L\nJF8vlU+1INeXJa4z0pu9fPmy0CKhq+lqTe2odB9bzcitRCKBCxcu5LV/6mF6iZ7BQgQ//OEPcezY\nMd3yMeSwJwhZCnSoent7u6LkMkA9IZfarJMzmyhFKpUSsptHR0eRSqXQ3Nysy0XPcRwuXbqEcDiM\nkZGRgjjScpHNZrG+vi60APTY+KnV1GnadRaNRjE0NASXyyW87tOjpujX/UqpHGrRt5V6q+B5Hi++\n+CKGh4cLRm6R80CfC71C8ZUgHA7rvlfzyCOPVLxdAewRQqZJhLbwdnR0FM3ylYKaPAslqoly3XXp\ndBqBQACRSESI8iQh+lpfm3O5HILBIJLJJEZGRjQH5xMwDCOMwtq3bx8ikYhgQKlVRaknSHVKmxno\nUVP06/7Gxgb8fn/BsFKtmRb1spFG1B5yI7fotgfRCpPp2vRmaiVUGnrbphOJBH70ox/hm9/8pm5r\nymFPEDKQP3hTy6RoPZ11gHpCzmQyCAQC2N3dxcjICKanp/OIS0ueBcMwWFhYwPr6OgYHB9HY2KjL\nKBqe5zE/P4+VlRX09fXh9OnTYBhGOG56ioe4kiI3p8fjqfhMPK0oVaGbTFY0NRW+7tPmjlAohGQy\nKcwPLJXrIUa9EHIxDXKp7GnakSl+WJczaVw8YVpvQm5sbMT29rZu6xXDniDkjY0NzMzMCIM3tU6K\nJl56GuVS2SAMAAAgAElEQVTqiJVW3NlsFsFgENvb20XHPZVTcZPcipWVFfT39wvDVbVmWZART8Sc\nQc69mLjkKkraLkyHwxM5lsfjyXOh1YPsTOp3kkoBd9/dgKeessBmA+64I4v3vpcR/r7Y3AFI53pk\ns1lh84wmKJqA60ELDZRnCik1cktqaCu9kSj3wJLKsSh3s7vW2BOE3NzcrJmICcQEqtXQUYpAycTr\nUCikaACq2uGkpH3T09ODM2fO6FKB0oH2bW1taGxsxGgZQcVyJg86DJ240AgRra6uKhq1VAnIkeH9\n99vwH/9hQVsbD4YB/uIv7Bgc5PErvyL/e1ea65FIJABAqCJZlpXNCqkm9HLpyT2s6bZHqZFbYkKO\nxWIYGRnRfGy1wJ4gZIfDodtwUkLIejnr5Ag0l8thYWEBGxsbGBwcFKrWUlBSIfM8j9XVVczPzwsJ\nbHptLm1tbcHn86GpqUkItN/e3i4giHLJgrzKi/uSm5ub2NjYAMuyBdU0XVFWMtNBjgR/+lMrPB4e\nZjNgtwM8D7z0krkoIcuhVK4HqSB3dnZqmhBX6Xl6akZuMQwDjuMQCATw0ksvYX19HTfccIMuxxEO\nh/F7v/d7uHDhAkwmE/7+7/8eZ86c0WVtKewJQtbzBkyn00IEoB7OOvGx0X1cun2gFMUqZHHlWmpD\nk7QBlJy/cDiMubk52O12wdVYzjrlwmazweFwoL+/X/geqabFmQ60drga1XRHB49QyAyHgwfpqnR0\n6NdeoTfPWJYFx3Ho6+vLa/nQuR70PMBK5XrUap6e1ANre3sbm5ub8Hg8OH/+PM6ePYvnnnsOn/vc\n53D69Gncf//9ZX/enXfeiVtuuQWPP/44stmsLkOQi2FPELIeIBUxwzBwOp04fvy4ruszDIPFxUWs\nrq6iv78fp0+fLuuClqqQ6QQ2r9ereCYeIfdix0EyMgDI2qel5upV45WarqZpfSitHSZVFInzpDcR\n1QbDy/1Mn/pUFh/+sAO7uyZwHDA1xeHXf70y003oY6hlrkc95VhwHAeHw4H29nZ84QtfwO23346v\nfe1r6Ovrw9LSUtnrRiIR/OQnP8F3vvMdAFceBpWeGbgnCFnLjS9uTTQ2NuLcuXO6HRvLsshkMnjh\nhRfQ19enuY8rJmSpBDalIIlvUsdDu/bGx8eLhn0XW0cvqNnUk5pYIbYK09U0UXh4PJ6iUiw5Qp6Y\n4PDYYymcO2eGwwGcOsVC46wEWXAcV7QtUa1cj3qaOJ3L5SSnhTgcDoyPj5e9bjAYRHt7O373d38X\n58+fx/Hjx/HAAw9U1KW4Jwi5HMj1iHme18VZx3EclpaWhCf0qVOndBHHk6q2WAKb2rVoZDIZ+P1+\nRKNRjI6OFkzQlkK9KCCKQc4qTFfTdDi+WOlRqjLq6ODx5jdrv25KoVzZm965HvVEyOKZlbFYTBen\nHsMwePnll/H1r38dp06dwp133ol7770Xn//85zWvLYdrjpBLbdZpJRda2dDV1YXTp0/j5z//uW4b\nINlsFqurq2hsbNScwEYTMjGLbG1tSeqfS60jdc70bFtUqv0hV01L5VoQs05TU5OkJK0a0FOHrDbX\nw2azCdV0MpnUPDJNLzAMk3cspd4ilKKvrw99fX04deoUAOC2227Dvffeq3ndYtgThKzkZq10HjHR\n5C4sLKCzszPPmEKUG1oqing8Dp/Ph0QigdbWVs3DSYErRJrL5bC2toa1tTUMDAzg9OnTqm94cdi9\nyWRCKpWCzWbT1TJbrSpcLtfixRdfRFtbG5LJZJ4kTUlKnF6oRm9e7ufPZrNC22N3dxcMw2B1dTUv\nxrMWLkxa9qbnwISuri709/djZmYGk5OTeOqpp3RPbRRjTxAyIF/ZVoOISYpce3u7pLJBy3BScQIb\ny7LY3d3V5bhTqRTOnz8vuOvKfWDQ555kKLMsK8iRqilNqyTMZjNaWlryDB7FqsliBo9yUUunHtnU\namlpQS6Xg8fjwb59+4q6MKsxvURMyIB+b1Rf//rX8b73vQ/ZbBYjIyN48MEHdVlXDnuGkMXQQsSk\n4it24dNxnqUkZuUQcjqdht/vF0KFSC93Z2dHU4+bPm6e57F//37NriZSEft8PmQyGUxMTAjjnQBI\nStPUElY9ELhUdVqsmpQyeNAPJ6L0UIN6sU6TTdxa5nrQn0UIOZlM6rrpduTIEfz85z/Xbb1S2DOE\nTKo0PSriYiH1tNa3paVFkcTMarUqJtFsNgu/3y8ksJFQIQK9hpOeOHECPp9P882QzWYRi8Vw6dIl\nTE1NCdGd2WwWgLw0TY6wyM1KNtPolketNw7VtAvkDB5y1bRY6SH3e6kXQi61qScX45lOp/PUHqlU\nSiB1tbkeBDQhh8PhuhioUC72DCFHIhFhppzW1oQUIdMjn7xer+BSUwIlEZz0ppreWRY7OzuYm5uD\ny+XKk8aVS+5AfrIbmc6t5kaQIyw5aZbdbkc6nUYymayI0aEaUFJNLywsCEoHqfAhcZBOrVCOyoKW\n5JXK9SDpcGKbtNTDSBxOr3dbsprYM4QcjUYxMjKiyy+DrmjpyrKpqUm11hcoTqLiBLZSm2pqSJSe\niXfgwIECIiiHkImKZHFxUXAaXrx4UdUacjCbzUK+Q3d3N4DX0tJCoZAwPzCVSuUlxZGvSsuwKrWh\nVurhRJNUNpuFyWRCS0uLrgNL1UJP2ZvaXA/xJiL91lCJcPpqYs8Q8sDAgC76YeAKIedyOWxtbcHv\n96OxsRGHDx/OswurgRQh03GhxDCiV5ZFIpHA3NwcGIYpOhNPTq4mBZ7nsb6+jkAggM7OTpw+fVp4\nTVSzjlqQtLTm5mbE43FMT08DeG3CMrENk9xlqR5tPVSUakE/nGicP38ezc3NyGQyebrhcqI8taAa\nOuRibR86fCqVSuHll1/Gc889h8XFRaRSKSQSCV16yUNDQ/B4PLBYLLBarRXvJ+8ZQtYTuVwOFy9e\nRFNTEw4dOlQ2ERPQLQtap1xOXKjFYpGtaskopkQioWjentIKeWtrC3Nzc/B6vThx4kRBz1wse6sG\n5CYsl9pALNWjLYZ6IfbW1ta834FcNS2O8tSzmq50uJAc6LZPZ2enMLnk0KFDSCaTmJmZweXLl3Hz\nzTcjmUziySefFN62ysV//dd/5bVYKok9Q8h63Cy7u7uYm5tDLpdDT0+PbhF+VqsV6XQaKysrmJ+f\nR0dHR9kB+lIB9dlsFoFAADs7OxgdHVU8iqkUIUciEczOzsJutxd9Q5CSHOrt3lOynpINRHGPlmwe\nKsl2qPWmIlAYxg5IV9NyLjyygUZvIpZzHdZLlgU5DpvNhhtuuAGvvvoqzpw5gz/4gz+om367GuwZ\nQtYCkmRms9kwPT2NcDis281HlB9ra2vo6elRPVJKDJpE6f7z0NAQJicnVV2AcoRMtzwmJydLTvCt\nd+u01Ksv2UiKxWJ5G4gOhyOvqqy3DUQyOqkU5Fx4chtoDQ0NBT93qc+ph/MiFU5PEgH1qOBNJhPe\n+MY3wmKx4CMf+Qg+/OEPa16zGPYMIZdzcUQiEfh8PphMpjziicfjSKfTmo6H3gxsaGhAR0cHJicn\nNa0JvEZ+9MgktRGe9Fo0IdM5FuPj44r1yVrUGmqgJ+lLbSTJJaWRDcRcLodoNFrTUVNaZW9yPzep\npskDisjR9EyIqwSkCFlPlcWzzz6L3t5ebG5u4k1vehOmpqZw44036ra+GHuGkNWA1iqPjY0VbHqp\nnTwtBklgIzKzTCaD1dVVrYcNnueFOEl6ZFK5INZphmEQDAYRCoVU51gA0hUyOX96EVc1qjG5pDSy\ngRgKhSTD8ekAokofZyWUHsWqaTkZYiaTwcbGhtCbrlW1LCbkaDSqKyH39vYCADo6OnDrrbfi7Nmz\nBiHrhVgsBp/PB5ZlMTY2JvuLK5eQ6dYHncDGMIwmgtdrZJIUtre3sby8XHaOBZBPyERPvbm5CSB/\nE4YQVz30HtWAbCDa7XZB5UGs57FYTNLkUYmNNIJqkZ9cQlwmk8G5c+eQSqVqXk1LEbJesjfy4PV4\nPEgkEvj3f/93/Nmf/Zkua8thzxBysYuUBPPkcjmMjY0VzfYF1BMy0fuaTCbJBDYtWRbb29uYm5uD\nx+PJG5mkBcQ+7fP54HQ68yRs5cBsNgv9bELuJ0+eBHCFuIrJ08jrc6m+er31qek4TxrEuSjeSKv3\nV3+lMJlMsNvtsNlsGBoaEr5frJoWKz30fKCIQ7sikUjJ+1spNjY2cOuttwqf81u/9Vu45ZZbdFlb\nDnuGkKWQSCTg9/uRTqcxOjqquCeqxFkHvEb0DMMUrbjLIeRiI5PKBc/zwky8lpYWTExMIBaLaSJj\nnucRi8Wws7MjRBUSHTfZAW9s9CKdbkZrKzA2xsNi4YUNNbq6tNvtQnXp8XhquqEWjQJf/rIdc3NX\nZuN99KM5Rf/Obrejra1N0as/2UAkP3O1U9LKhVQfu1g1TR7I4mqaKD20PKAYhsn7t3r2kEdGRnD+\n/Hld1lKKPUPI9IWcTCbh9/uRTCYFIlZzodtstqKETK8/Pj6et3svBTUVdzwex9zcHDiOk807VhJ+\nJEY4HMbs7CwcDofgNtze3ta0Gbezs4PZ2VmYTCYMDQ3lVUzkfKfTwL//uxWbm1f+v6uLx5vexBRU\nl2RjiVSXoVAIyWRS2FCz2+3I5XJVMSRkMsAb3+hCMGhGJmPC009b8fLLFnz0o+WtJ0dWZANRnJJG\ntzxquYEoB6W/A2LqcTgcBVbpYg8oNQoXUoXT/19pU0wlsWcIGXjNGBGPxxVPu5CCXIUsl8BWCkpU\nCGpGJhFziBJCpgl+eno6j+DLVUfEYjHMzs7CbDbj0KFD2N7elj0Pr75qRigE9PZe+ZzVVRMuXTLj\nyJH8z6U3luibl2yo7e7uIpVK4dy5c8JED5q49LwJX3jBguXlK2QMAKmUCU88YcXtt+t3u8htIMrN\nAyQtHoZhhLeJWkHrQ7HYAyqRSCAWi+UpXMTtHvqNjmEYIRKgnlpa5WLPEDLP85iZmUF3d7diY4Qc\nxFZgsfFCnMBWCsX+LpGaRSIRjI6OwedrxyOPmNHSArzlLRyk3r6IOaRYq4F27clV8WoJmV5zYmJC\neGjs7u7KtmTCYaCx8bVz6XTyiEYVf6SwodbQ0IB4PI5Dhw4J9tlYLFagpaVbHuW2AHI5QPzPzGaA\n4yrvTCs1wYRhGFy8eFEgZXrDVI8oSyWoxFtKseAhWoZIx3i63W7EYjG43e68+/VqaPvIYc8Qsslk\nwpEjR3R9SuZyOczPz2NzcxPDw8OqjRdK1g6FQhgeHsb09DR++EMz/v7vLWhs5JFOm/D88yZ88Yss\nRJlARXvSuVwOgUAA29vbJV17SgmZlsVJrVlsw62nh4ffb4HHc+VzYjEzurq0TWSWSk0j/UrS8lhf\nX0c6nYbVas0jLSVB8adPs2hs5JFMAixrQkMDj2PHWLS0KOsj6w36511aWsKRI0cAIK8/u7W1VdCf\nrVQwfDXn6VksFtkYT9LyWF1dxT/90z/hkUceQSqVwl//9V/j8OHDOHz4cEGglhqwLIsTJ06gt7cX\nTzzxhB4/TknsGUIG9NuJZxgGmUwGZ8+excDAQNnGCymwLIvFxUWsrq4WSM3+3/+zoLub/++JxTwW\nFkz45S9NOHMm/2eSyrOg1x0cHMT4+HjJYy5FyGRQ6/LyMvr7+2VlcXLnned5TE7yiMVYXLhw5QY+\ndozF2Jj631Gp3y3dr5RrAYhzl+Vs02438F//lcQnPtEAv9+MU6dY3HNPBhcv1vaVWGwFLqYdJq/9\npKJ0Op15r/1aNhBrPeCUrqZXV1cxNTWFo0eP4pZbbsEdd9wBi8WChx9+GIlEAjfffHPZn/PAAw9g\nenoaUTWvdBqxpwhZK+gENgCajRc0eJ7H4uIilpaW0NPTIzkyieOuvBrn/7vCteg8C2IWWVhYQHd3\nt6pRTMWGkxLdc0dHR8nzUIzYzWbg+us5HDt25c8rNMVHFnItAEJa4k0lQtJtbR783/9bX1kISkwh\nxfqzsVgsbwNR/PbgcrkUXTu1ChaSAi174zgO/f39+MhHPqJ53eXlZfzrv/4rPvvZz+Iv/uIvNK+n\nFHuKkMu9eTiOw8rKChYXF4UEtpdfflmXaptofpPJJNLpdFFy+7Vf4/DYY2Y0N/NIpYDmZmD//sJj\nIC2Lzc1N+Hw+tLW1lRVWJEWkJMze7XYrmoYCKHsz0UrEehKjXBgPTVqrq6vIZDKwWq0CSbMsW9OJ\nHeV+Nl1R0mOW6LeH5eXlgg1E2oFIo9YVMg065EjPLOS77roLX/7ylxGLxXRZTyn2FCGrBc/zWF1d\nlUxgI1K1cvWRtOa3ubkZTU1NGBoaKlpp3nYbB6+Xx4svmtDaCrzjHazkpl42m8XFixfR3NysanKJ\nGDQhx+NxQcImFWZfDNUybVTyM+RIi05My+VyeOmll6rSp5WC3g+DUhuIOzs7eVGe5OdNpVJ1Iy2j\n3xrC4bAuGuQnnngCHR0dOH78OJ5++mnN66nBNUnI9Ct5a2urZAKbljwLEuPpdDoFze+5c+dKaiTN\nZuDNb+bx5jdLE08sFsPc3BwSiQQGBgYwODhY1vG99nlXHHYXLlwoUE6ogVQecj296msBnRS3vr6O\nkydPFu3T0ioPvbMtqlGdy22Y0uFDW1tbYBgG6+vrBVNbqvFgkoNeppDnnnsOP/jBD/Dkk08inU4j\nGo3i9ttvx3e/+10djrI49hQhl7r4SdVKxjEVqy7LIWR6ZNL+/fvzLmot9mky0TmVSmF8fBzhcFhz\nhcIwDAKBAGKxGEZGRjRJBcW9aJ7nwbKs0N8zmUyaiaTW1mm6EpPr05JsC3E4Pk3SWqzDlRohVQri\n8CGe5+F2u9Ha2lpyA9Hj8aChoaEixy0+H3oR8j333IN77rkHAPD000/jq1/9alXIGNhjhFwMdAKb\nEiuyGkIm+cG5XA4TExOSfaxyCJnWP4+NjaG9vR0mkwnRaLRscqdn4g0MDBSEuZcDQpaEMFmWBc/z\nsFgs4HkeHMflbUISkgb0yaytBpSE47tcLrhcrrzzSaRppLJMJpNCFUq3PJT0ZOtt4nSxB5PYgUg2\nEMnPrER+qPQ4CKLRKLq6ujStWWvsKUKWegrTCWxqeqNKCJl27pXKD6YHp5YCy7JYWFjA2tqaZPB8\nsTFOcqDbNO3t7UKg0PLysqp1pEBaFuTLZDIJM8gACMdKiJqQNP09s9ks3KD1QDpSKKfKk5Om0YRF\nBy6JWx406o2QpUA/mOQ2EJeWlpBMJjU7LnO5XEWzkAHgpptuwk033aTrmsWwpwiZBsk8BiCbCVEM\nxQg5m80iGAwK5gslzj0lgUW02qO3t1dWwkZyjJVid3cXs7OzqpQTSsHzPKxWK0KhEFiWFSomuuqT\nIlpCyBzHFVTR5L8mkynvq15aFlohZXYQx3kuLi7mTfLweDw1a1mIUY7srdgGopTjUklCnNitWglC\nrjb2FCGbTKa8qM3x8fGyf0FWqxWZTCbve+KRSRMTE4pvkGItC7p63bdvX0kJm9IKmSgnAKhWTpQC\nIVGO4+BwOHDmzBmh6ltZWRGqPjpik57fJlcN0wRNV9LxeBw8z4NhGIGgq1ktVvphIBXnKQ5c2tnZ\nEUJ5xK//1ZSh6TVPr9gGIh0ylUqlhPNDOy6rUSFXG3uKkIkcTE3UphysVqvg6uI4DouLi4JjrRzn\nnhwhk9622+1WLGGTGnRKI5PJCCFL5Son5ECTJanYCDmKp0DTBozNzU34/X4wDAOXy4WmpiaBpOmK\nnZxXcsPv7OTw858vI5mM4syZkTxFB30OzGZzxUm62tWpOHDJ4/EgHA5jcHAw7+FH64fplkelMpcr\nqUOWC5miMy3W19cRj8eRyWRgNpvh8/nw0ksv6TYtJJ1O48Ybb0QmkwHDMLjttttw9913a15XCfYU\nIdvtdlx//fW6rEUyfcmk6K6uLk1B7uKKmygyLBZL3nQRJZAjd/EoJrUhSMUg3rBTQn60AaOnp0dY\nh85CXlhYQDabFVxyHo8HTU1NsNvtuHBhAw8/zMLt7oTbPQaG4fGbv8nB4SispCu9eVgP7QLSQyaB\nS+KHH/36Pz8/X7HM5VoYQ6TaPGtra0gkErBYLHjhhRcwOzuLW265Bfv27cN73vOesh17DQ0N+M//\n/E9hjuINN9yAt7zlLTh9+rReP44s9hQh60k+kUgEa2trsFgsmidFA6+RKInZzGQysooMJWvRLQux\ncqLcUUxyoNsTdE+3HBBTRWNjo7AjToKBotEoYrEYFhYWEIvF8MIL/fB4WtHdzcDhSGN+3oFAwITJ\nSb6gkgby+9LilofazcOZGTPOnzejrY3HTTexdRHtWOyhIPf6Tw9t1UvxUC9OPZZl4XK50NPTg/vu\nuw+ve93rcO7cOWxvbyMSiZS9rslkEs5jLpdDLper2sN4TxEyoF2vSkYmOZ1OeL1eXSZFA1dIYnNz\nE6FQSFBkaNH9EoIhrQBaOaEWcjc6TcQANBFxMZBgIIZhsLKyAqfTiUOHDmF+3olsNoVsNoloNIbV\nVeDFF8PgOLNQSbvd7gKClepL05V0sc1Ds9mMJ5+04H/+TwfIM+/GGxncf3+2bipkpSiVuRyLxWQD\nlzweT9FrqdbnAoDQ/gLye/z79u3La3eUA5Zlcfz4cfh8Pnz0ox/FqVOnNK2nFHuOkMtFJBLB7Ows\n7HY7Dh06BJvNpsv4FoZhMD8/j9XVVTidTpw4cULzxWyxWJBOp3H27Fk0NjZqtk+LCblaRExA9NZE\nPkhexaenzXj+eQ96e93IZq8cxxve0AWXKyqQSTweBwCBRAhJ02RCV8UEcpuHDMPif/0vFywWHi7X\nlXCnZ56x4qc/tWLfvquLkOWgJnCJmDwIUeup0NEK8YBTQL8HhcViwS9+8QuEw2HceuutuHDhAg4e\nPKjL2sWw5whZbYVMT9SYnJwURO4cx2maFE2iK5eWltDf34/Dhw9jYWFB8wUTj8dx+fJlxONxXH/9\n9ZqVEyTPghCz1IZdpUBaLSsrK5J66+uv58AwwC9/aUJDA/Abv8Git9cCIJ9MiJU5Go1ibW0NsVhM\n0PXSm4d020mu5ZHN8kgmTfB6eSFpz2TiEQrl0NZ2pbqutsKDPr5Kfa5c4BIxeUSjUcF9mEqlhMG7\nlZqsrQQ0IWcymYrkazQ3N+MNb3gD/u3f/s0g5EpCbEcWKxHkoilLged5rK+vIxAIoLOzU2gjJJPJ\nst11QL5yYnh4GPPz87rI2Aghk1d5pRt2WkBb2Nvb23H99ddL9iStVuDGGznceGPx9aQcY/Qm19bW\nFoLBIHK5nJA3QYiatvWazWY4HMCxYxzOnzfD4wHSaR4cx8LhmEFvb68um4evvGLG+roJ+/dz6OtT\nfo3pJTdTCjmTx89+9jO0tbUJG4j0ZG1C6o2NjRXPtaAJWc+kt1AoBJvNhubmZqRSKfzoRz/Cpz71\nKV3WLoVrjpAzmQwCgQDC4TDGxsbKnrsnha2tLczNzcHr9eLEiRN5r3flZlmQlsfGxoZgQuF5HoFA\nQJdjNplMyGZf649Wuiom2mi73Y4jR46U3WopBXqTq7u7G8Brm1zRaBSRSARLS0vIZDLC6Cfy9Y1v\n8PjYxxrw4osmOJ0p/O//vYG3v/26vNxd8l+pzUOgsC9N8JnP2PHwwzZYrVfyr7/1rTTe+EZl1wXZ\nlKwlyDGQwCUCOnCJyNLIplulWh5iQtZLg7y2toYPfOADQtzqu9/9brztbW/TZe1S2HOELEcm4pFJ\nU1NTuhEP3X8+fPiwZE6GWkImr/NLS0vo6+sr0D5rmRYNvNYnbm1txfnz54VXVlI50ptleiCbzcLv\n9wvaaL2qGTWgN7nEeRNE4bGxsYFEIoE//MMsPvpRKwYG+go2YNWaWsjv/ec/t+Lhh23//T2AYYCP\nfMSBublEwWACKdSDdVpOYSGXa0GiPMPhMJaWlvJmAdItj3LuRZqQo9Fo3mdrwXXXXYdz587pspZa\n7DlCFqPYyCQlKCY1IqFCDMPk9Z+loJSQxcoJqUB7LQ8S8YZdf38/BgYGhOnO0WgUi4uLSCQSgvyH\n3ixT+8pMTDVra2u6Pwj1QkNDA9rb29HW1oaFhQWkUilMTU3BbrcjFothfn4eiUQiLxRI6nzI9aXJ\nOV9dNcNsfm0KjNUKpNNAJMLC6y3dJqpnQpYCLXGUC1wKhUJIJpOwWCwFsw9LfQ59PvTKQq419hwh\nk5udzoWQG5lUCiQQSEyIZFJ0NBotGSokPq5iCIfDmJmZ0ayckEKpDTspswFxR0WjUSwvL0sqGjwe\nj+R55XkeoVBI6KXL9YnrBaFQCH6/XzhWcqOLX8vJRBEl9nAgn6QPHzaB40zgOMBi4ZHNAl1dPBob\nObBsaeeheKZeLaDH+CapwCWGYYSWx+rqqmCVLzW9hGAv2KaBPUjIZGRSMBgUNozKtZAStx4hZLET\nbnp6WpcbJJFIYHZ2FhzH6Z45AaDsDTu5EBxC0mtra8Jx0yQNAIFAAA6HA0ePHq0rqZQYyWQSMzMz\nsFqtJXvaFotFkz18cpLH176Wxcc/bgfHmdDZyePRR7NwOh2KnIeEkGs9RqoSD1ar1Sp5rUlNLyHh\nQwzDIJlMwul0GoRcr9je3kY4HNYl1YwkvtFZFno64ehKe2JiIq8a0wOV0BObzWZJRUMikcDOzg4u\nXbokSJBsNhvW1tYEYqpUtkI5YFkWwWAQOzs7kiobpVBrDz9+3IOf/tQDjvOir68BVmu+OkPKeUgM\nM+FwGH19fWBZtuTmYaVQTZeenPuQ9PzX19fh9/vxuc99DgsLCxgcHERjYyOOHDmCo0ePlnWtLy0t\n4f3vfz82NjZgMpnw4Q9/GHfeeaeeP1ZR7DlCbm9v1+1JabFYsL6+js3NTc1ZFgSkWiXKCS2Vdq0d\ndvTnbW1tCUoQIpGijQb0NAlC6FKZv5UGSdYLBoPo6+vDyZMndT83Suzhsdga1tZSwqw6Wi5GS+gi\nkaTbzDwAACAASURBVAhmZmbQ2tqKU6dOCbb5YpuHlSTpWtumiauTpL8dOnQI3/ve9/CZz3wGvb29\niMfjeOihh3Ds2LGy1rdarfja176GY8eOIRaL4fjx43jTm96E/fv36/yTyHx+VT7lKgMhmM3NTXi9\nXl2yLIArFxOptKWUE2rXqrXDjmxABgIBdHd35/VeAUjKzsQBONlsViBp0vKoVIsjFothdnYWLpcL\nx48fr+rDgBCJw+EoGKIai8UQjUaFDS5CNslkEhzHYf/+/XmGjVKbh/Q1oDdJ15qQCcQuvXQ6jRtu\nuAE33HCDpnW7u7uF69Xj8WB6ehorKysGIZcLrQQUDocxOzsLh8OBnp4eeL1ezTcu2eCKx+NIJpOa\n+toERLVRC4cdcEVmpJbc5CpHEsxOpFGZTAYOh6OApMv9mXK5XJ7kTi95lB6w2+1oa2sTNrh4nsfy\n8jIWFhaEN72LFy8CKG0PB+RJOt8ezuRV4WpMLfVEyPRx6GkMIZifn8e5c+eqlmMB7EFCLhe0hXp6\nehoejweLi4ua7NPAawTvcrnQ0tKCwcFBXXqphJCJEqQaDjvgtbFV6XQak5OTqiexiEG7wYg0in69\nJ5bddDotGDhIy6NUlCTP81hZWcHS0pKkNbveQGzxbrcbp06dyrtOxGOftNjDyXrljNOqJ0Kmz08k\nEtE19zsej+Od73wn7r///qo+wPccIau94dLpNHw+HxKJBMbHx/M21qxWK7LZbFnHQTTKLMsKBP/K\nK69osk/TIGOcyM1R6aqYzPnb3NzE6Oiorg5HMeRe72mSXltbQyr1Wg+WkBIxGZAHYUtLC06ePFnT\n8fSlwLKs4B6V07PLKV7KsYfT/yXrkP9K2eiB164vhmGq3veXglSFrBch53I5vPOd78T73vc+vOMd\n79BlTaWo36tUA5QEDOVyOQQCAWEu3oEDBwoIhmRQqEExjXK59mkatMPulVdeyXPYNTU16TLNV/x5\n6+vrmJ+fR09PT0GfuJogBg46SjKbzRa47HK5HMxmM/r7+7Fv3766qOikQFpZfr8ffX19qpMA5ezh\npAVUzB5Ou+OUOg8zmQx2dnbQ09MjZARXU+FBQ1whp9NpOJ1OzevyPI8PfehDmJ6exp/8yZ9oXk8t\nTCoDdGqf0q0A2WxWlpBp597g4CB6enpkL6adnR1sbGxgenq65GcS5cT6+jpGRkbQ1dVVcHNdvnxZ\ncISphdyGHcMwglkhGo0iHo/rRtLEEu7xeDAyMlIXlZEciDRxfX0dAwMDaGhoEM4JcYLRVaPeDy61\nSKVSuHz5Mmw2GyYmJip+bvMVHjEkk0lYrda8dofcOaGVKUNDQ2hvb88jahrVIunFxUXYbDZ0d3eD\n53nceOONOHfunOa3tmeffRave93rcOjQIeH4v/jFL+Ktb32r1kNWdGB7skKWAuknLiwsoLu7W5Fz\nj/Rni+GKJXYVCwsL6O3tLaqcULKe1HGXctiJs20JSUejUSwsLKgm6XQ6jbm5OeRyOUxPT+tuVNEb\nZKhAR0cHTp48KfxexU4weiIJfU6kwu4rBY7jhNaPuEVWSUi9XeRyOYGg5ezhFosFc3NzsNvtOHHi\nhOT+RykZnt7jtAAIWc009Gih3XDDDTWdDrMnCZluWZDXQp/Ph7a2NlUKB2IMkQK9rpJJ0cCVloWa\nTcJyHXZqSJpWMjgcDiwuLiIUCglJePWMVCqF2dlZmEwmHD58uOgrq9VqlUwoI+eEDrsXk7ReLY+d\nnR3Mzs6iq6sLJ0+erHkuhc1mkz0nsVgMMzMziMVicDgcsNlsWF1dLWkPJ9C6eVgKtOxNKqj+asXe\n+ClksLu7i9nZ2bKzIeQImWwYOZ1OVeuqCRjSW09cjKQjkQguXbqEWCwGu92Offv2CfrYWrzar68D\nP/qRBbGYCSdPcjhxggP945P20NbWlqYqU8oKTed3rKysIBaLAVCW3yGHTCaD2dlZsCxb8sFRa1gs\nFlgsFqytraG1tRXHjx+HyWQqe3q43Oah2BquVi8tjt6sJymjFuxJQibyIZPJpCkbQkzIyWRSuLGI\nckINLBYLcrmc7J9X29hhtVphMpkEAwyxm5KqkbzG0v3Xpqamik6I2N4G7r3XhnTaBLudx9mzFnzw\ng1eC6mkjSm9vb0WqzHLyO8i5EVdpPM9jaWkJKysrGBsby2sX1CNotYf4+lY7PZwQNS1NLCe2lFTS\nYpKuVBZyrbFnCXl4eFizDIZM0yBZvpFIRHG6mxSsVivS6XTB96tNxACEMTwsy+LAgQNobGwU/kyq\nkib912AwWFGSvnDBjGgUGBq60nJyOIAf/tCCY8euGFEaGhqq7rIrlt9BV40kkL2pqQlmsxmrq6tC\nO6telR4EpA/f09OjSO2hxB6+urqaJ02UsocD6kwtpJLOZrPC/VkJU0itsCcJuaenR7OhA7jyy89k\nMnjxxRd1yfIV95Br4bAjE0i2t7cxNjam6OEi1X8lJB2NRmVJWnzjlQOWZRGNRnDp0uWaBdtLQS5U\nKBKJwOfzIZlMoqGhAaFQCIlEIq9XX09qlWw2i9nZWTAMo3mCi1p7eLGBCHIknclkMDMzA6fTKUxf\nf/LJJ7GyslL2cdcT9iQhawWtyACgKXOCBt1DruYMO/J5q6urWFxcRH9/v+bXfSmSJrv2Wkj6uus4\neL0WLC8DDJPE5mYSv/d7jC7TuisJEvu6sLCAoaEhQfZIv9qTCEmS30Gfl2pHlNL68pGREXR0dFTs\n/Irt4QDy5JpKpoeTdlUwGBTaP5ubm/j4xz8Os9mMBx54oCLHXm3sSR0yy7JlVcgkVGhubg5tbW0Y\nGRnBiy++iDNnzuhysZJX/gMHDlS1PbGzswOfz4fm5mYMDw9XNQaTJmkpTbAUSfv9MTzyyA6ARtx8\ncwtOnrSgjrkY8XhcGCwwOjpa8vzSs/3IuSH5HWKSrsS1kUqlcOnSJTgcDoyPj9dNLCptDydfHMfB\n4XAgmUzC4XAIZp/vfe97+MpXvoK7774bt956a10/rP8b164OuZxfDjFBNDQ04OjRo8JOOJ0ZoQVE\ni7mzs4OLFy+iqakJXq9Xl9d6OSSTSczNzQEADh48KDnrr9KQklbRJB0IBASSphPO7rxT/aZptUE2\nwXZ3dzE1NaV4p19qtp+4/yqV3+HxeOB0Osu+XmjzzOTkpK7ZD3pAvKEqHjbB8zw+8IEPYG5uDmaz\nGe973/vgdruvBjJWjD1JyGpAlBMMw2BqaqqABIjSolxCpjfsbDYbzpw5I+zYi/XAevVec7kcgsGg\nMFm7WuYDpRCTNDFLLC8vo7m5GTzP49VXX80bnCm1GVRLkI08vTKVS+V3kFChYvkdxRCNRnH58mW0\ntbXlmWfqFel0GpcuXUJDQ4OwKfr4449je3sbf/VXf4XDhw/j3LlzCAaDtT5UXbEnWxY8z5cMBSLK\niXA4jPHxcVkTxPnz5zE6OqpaOkeL4Utt2NGmjUgkIthayU3n9XoVVUZ0utnAwAB6enrqhsDksLOz\ng7m5Oezbtw9DQ0N5RCHX7qAfXuVOLC4XqVRKGPk0Pj5ek/FU9CZZNBpFKpUSzgu5ZsjDi2VZQSF0\nNbgu6b2OiYkJtLW1YX19HX/8x3+MpqYm3H///WWrnGoMRRfpNUfIJLWMTEHu7u4uekO/+uqr6O3t\nVaVzFG/YlUMYuVxOuOEIGdnt9jwyojWe29vb8Pl8aG1txfDwcN07l9LpNGZnZ8HzPCYmJhSbJch5\nEedUVJqkWZbDt761g//8TwtGRz342Mds6O6un9tB6uFFJJttbW0YHBysijVcC0hVTHrbZrMZjz32\nGO677z78+Z//OX7913+97guMIjAIWfw9opzo6enB4OCgootzZmYGbW1timzEldYTk2SzSCSCaDSK\ndDotRITa7fa6koXJgY7x1KLppkE/vOjgHLFOutzfxc7ODr7ylQT+5V+G4HRawbImNDfz+N73MqjH\nYo1I2XK5HHp6epBOpxGLxWqW31EK5N5cXl4WZkuura3hrrvuQmtrK+677766a7uVgWuXkIErvTfg\nNeUEqR5HRkZU7Sr7/f488bsUamHsIPGhu7u76OjoAMdxwm49PbeuXnSv5Pfg9/vR1dWFgYGBihKB\n1BuGzWZTRdKZTAZzc3NgGAZ/+IfXw2o1gZzK7W0TPve5HN7+dn3yrfUALb2jZxvSoPM7CEkDV+Rm\n5Lzomd9RCkTx4XK5MD4+DpPJhEceeQRf//rX8cUvfhG/9mu/djVXxTSuXZUFgLyQ8oaGBhw5cqSs\nDIFSAUPVJmKO44RqYnBwEBMTEwVz9Yikira0ulwueL3emkyATiQSmJ2dhc1mw9GjR6vSd7XZbAXa\nV7r3urm5KZA03XslSpTl5WUsLy9TxGaGyZRfj9QwFKwAyWQSly9fhtPplE1lA5Tld8TjcfA8j8bG\nxjyS1rMNRkZVraysCIqP1dVV3Hnnnejs7MSPf/zjulOBVAN7tkJ++eWXkUqlNM9QW1lZQS6Xw9DQ\nkPA9NRt2eoJUmFIbYMVAzAl0xciybN4NR6IW9QTDMAgGg9jd3cXExERd5g2IN8ji8TgymQwaGxvR\n398Pr9cLl8uFv/kbG775TSsaGnhksyZ4vTwefzyDWsdTECnbxsYGJicndTvHJL+DrqY5jhOuGanU\nN6VIJpO4dOkS3G43xsbGYDKZ8PDDD+Mb3/gG7r33XrzlLW/ZK1UxjWu7ZRGNRnWpxDY2NhCLxTA2\nNgZAnw07tSDz/qxWK8bGxnSbjJBIJISeNLnh6Ff6cl9daRdYf38/ent76/4Gy+VyguV5ZGREaAG9\ntnFow3PPDeDll9vQ1WXGxz5mQn9/bY85EokIexzDw8NVyXIm+R2EpOn8DnLtyJE0CVtaXV3F1NQU\nmpubsbKygo997GPo7e3FV7/61bp8aOuEa5uQc7mc0ErQgu3tbYRCIUxOTla9PZHNZhEIBBCLxTA+\nPl7xi5VONSM3HIACki5245McXbfbrci1VmvQDw/a8iyGuJKm2x3kS4tpQw0YhoHf70csFsP09HRe\nMFS1IX77isViyOVyBSSdy+Vw6dIleL1ejIyMwGQy4R//8R/xN3/zN/jyl7+MN7/5zXX/0NYIg5D1\nIORwOIxgMIj9+/fnxQBWEhzHCZVEMZKoBuj+YiQSkTWy5HI5+P1+JBIJXaZRVwPE8uxyuTA2Nqb6\n4UHP86OlifQDTG+SJtb+en7zIHP9CElvbm4ik8mgqakJP/7xj9HU1IR//ud/xuTkJL7yla/UvTJI\nJ1zbhMwwjKaBoqRHnM1mMTc3h3g8DpPJpKujTuozSZ+4o6MDg4ODdemoEhtZwuEwcrkcWlpa0N3d\nXRPDhhrQlufJyUldCYGQNC3BI/pxQtTlkDRJOeN5HlNTUzUxpKhFIpHAxYsX0dLSguHhYaTTaXz+\n85/HM888A6vVikwmg/379+PRRx+t9aFWAwYhl0PIxTbs6AkbpCKyWq2CekFs1lCDeDyO2dlZ2O12\njI2NaYpBrBaIiqWlpQV9fX15r66ljCy1Ahm71dfXh76+vqocD03SxFlHn5tiGRW0c01OylZvoOcG\nTk9Po6mpCYuLi7jjjjswOjqKr3zlK/B4POB5Htvb27qPCvvgBz+IJ554Ah0dHbhw4QKAK1ry97zn\nPUJr6rHHHqu2iuPaJuRyEt/K2bCTMms4HA7B8lxKB0ws3IlEAuPj41fF6xvR5+ZyOUxMTMj2MKWI\nqKGhoYCkqwFiebZYLJiYmKh5hamEpDmOE1LkxsbG6t59CVwpLC5evChsNALAgw8+iG9/+9v42te+\nhl/91V+t+EPwJz/5CdxuN97//vcLhPzJT34Sra2t+PSnP417770Xu7u7+NKXvlTR4xDBIGSlhKyn\nnpjWAZMvepPD6/XC4/HAbDZjcXERa2trFc+j1Qt0Wtjo6GhZI4nE56bSRhZSrW1sbAgusHoFCRKK\nRqPY2NhAKpWC2+1Ga2trXb1lSIHjOGHOIRn/tLCwgD/6oz/C1NQUvvSlL1U1R2N+fh5ve9vbBEKe\nnJzE008/je7ubqytreGmm27CzMxM1Y4H1zohcxxXdH4dUD1jh1hitrOzg3Q6jcbGRvT09KC5ubku\nLKzFQNyOnZ2dim3nSiD1ACNGFpqky1FrkOAi0o+v5/NLEIlEcPnyZeGYxbZwcSVdDyQdi8Vw6dIl\nQR8PAH/3d3+HBx98EPfddx9uuummqh+fmJCbm5sRDocBXLnmWlpahP+vEq5tp14xVNthZzKZ4Ha7\nBWtrc3MzRkZGhNfWpaUlxGKxPPUCMSTUuhoi8aQWi0XziB8pyGUDk3701tYWAoFAgZHF4/HIvsLT\nWQ7XXXddXU95JmAYBj6fD4lEAgcPHhTaQA0NDWhvb897G6EraTqSs9okzXEcgsEgtre3sX//frjd\nbgSDQdxxxx04cOAAnnvuuZpK8uRQLf9AObimCLlWDrtMJgO/3y84B4kkzOl05vWM6Tl1fr+/QOvq\n9XorNkVCDJZlhZttYmKiqhsg9ADN7u5uAPlvGRsbG5ibmxMmP9Ma6bW1NcHy3N7eXrc3Hg2y0Tgw\nMIDJycmSx1yKpFdXVwvC7fUm6Wg0ikuXLqGjowMnTpwAz/P45je/iX/4h3/A/fffjxtvvLGuzn1n\nZyfW1taElkW9bo7uWUIWXwzVnmEHXCE1YmsdGRkpSRBSc+qy2aywYUhuNIfDkafs0LPnSmaXBQIB\nIXy9Hl71yVuG2+0WhooS51gkEsHCwgK2t7dhsVjQ1tYmGDnquRVEpGwAcOzYMU0bjWpImpbgqSVp\njuMEyeCBAwfgdrsRCARwxx134PDhw3j22Wfrsir+jd/4DTz00EP49Kc/jYceegi/+Zu/WetDksSe\n7SGTCM5aBADRpNbd3a1rshndcyVEncvl0NjYmEfS5eiXiVHC6XRibGysLlLiSoEYUuLxOKampuB0\nOvPchkQ/Tof913ryCD1IgAzsrBZIFCc5PzRJE6KWI2nS3yZpfRzH4W//9m/x8MMPC1VxPeC9730v\nnn76aWxtbaGzsxN333033v72t+Pd7343FhcXMTg4iMcee6zaG7zX9qYeIazm5maBhKtxE0ajUczO\nzgoDL6tBalK5FDzPw+12CyRdrFIkUZ7RaBSTk5OawpiqBdryPDg4WHTQAMuyeZuGZBp2LSaPJBIJ\nXLp0CR6PB6Ojo3UhZStF0o2NjVhZWUE0GhWs2j6fD3fccQeOHz+OL3zhCzWZ13iV4dom5LNnz+Lj\nH/84IpEIpqamcPz4cZw8eRKHDx+uyCZPOp2Gz+dDNpvF+Ph4za3DHMflueloyzMhaafTibW1NaFq\nKDU9pV6QSCRw+fLlsi3PgPSEDavVmnd+9Oy5EllYKBTC1NRUXevN6YGroVAIGxsbsFgs2NrawjPP\nPAOWZf9/e+cfFHWd//HHBxeEPBCQUARRfi0/DE9gOekKu2nmaK7xD0c7ux+NNOl54zQm13T3Jb00\nPcezukzrwjQvZ6zrjrppytOmmbNysoxfARqyC4hCCggouLIs7LLL5/tHfT4tJgW47Oez+n78A8Mf\n7Ouzu5/n5/V+/aS8vJw9e/aQn5+vtbn+wq0tyApDQ0OcPn2asrIyKisrqa2tJSAggKysLLKzs8nN\nzcVoNE64RdlzA0ZSUhJRUVG6FTXPpOGlS5ewWq0EBQURHR1NRESETxs1JoKSaOzp6fF6yzOMrZFl\nIknVK1eu0NDQ4Ffld263mzNnzmCz2UhPTyckJISKigq2bdum1tW3t7dTVFTEI488orW5/oAQ5Osh\nyzI2m40vvvhCFenGxkaioqIwmUzk5OTwk5/8hJkzZ37vjed5ZI6NjSUuLs4vbjSHw8GZM2dwOBwY\njUaCgoLUWLTVah3RqKF4inqY2Nbd3U1zczOzZ89mzpw5PnvoeSbGru3EVN6j0cJSLpeLpqYm7HY7\n6enpfnOs7+3tpaGhQf1eu91uSkpKePvtt3nppZf46U9/Cnx9DwwNDU16WO6FF15g//79SJJEZmYm\nBw4c0LXjMApCkMeKUh9cUVGhinRXVxfJycnk5ORgMpnIysriRz/6EZIk0dbWRnt7O6GhoSQmJvpF\n8kuZIKd0Bo5W8aEkDRWRvnr1Ki6XS60BVjoNfbniR08tz2NtZOnt7aW5udmvQkFut3vEAyQkJASL\nxcJjjz3GXXfdxZYtW3wuhG1tbdx9993U19cTEhLCihUruP/++3n44Yd9aocXEIJ8I7jdbhoaGigv\nL6e8vJyamhr6+/sJCAhg1qxZPPXUUyxYsEAX3uMPoXSsjXfTiIKSNFREWkkaXlu54M0TgmebtreW\noU4WnuMme3p66OrqUrvBwsPD1YeYHhJ4o9HT00NjYyNxcXHExsbidrv5+9//zjvvvMPLL7/MokWL\nNLGrra2NvLw8Tp48SVhYGEuXLuWxxx6joKBAE3tuACHI3uTNN9/k+eef5ze/+Q0BAQFUVFRQX19P\naGio6kXn5ubqKnQxMDBAY2MjAEaj0avJTGVOsiLSNpvNa5ULvb29NDY2cvvttzNv3jzdvJ/fh7Ij\n7sKFC+oDRKl88dyu4dnI4suTxmgoYZWBgQEyMjIIDg7GbDazbt067rnnHjZv3qx5eGD37t1s3LiR\nkJAQCgoK+Oc//6mpPRNECLI36e7uJiIiYoSXo4wPrKiooLy8nIqKCs6fP098fDy5ubnk5OSQk5Oj\nlt75CrfbrQ56SU5O9pl3qVQueI4nDQoK+s540tHwbHlOTU31m5irzWbDYrEQFhZGUlLSqCLr2cii\nPMSU8kTlpOHLRpbLly/T2NiohlXcbje7d+/m0KFDlJSUkJub6xM7vo/e3l6WL19OaWkp4eHh/PKX\nv+SBBx7goYce0tq08SIEWQuUTiYl1FFVVUV/fz8ZGRmYTCZMJhMLFiyYlFioLMt0d3erDSlz5szR\n3LtUkmKKCClJQ0+RNhgMaqOEP7U8e85ySEtLm1D9tmd54vUaWZQ6YG9+jkNDQzQ1NeFwOEhPTyc4\nOJj6+nrWrVvHvffey6ZNmzSP1Su8/fbbfPDBB/zjH/8A4ODBg5SVlVFSUqKxZeNGCLJecDqdnDp1\nShXpL7/8kqCgILKyslSRTk5OvqGbrr+/n4aGBqZOnUpycrJubqhr8Yy3Wq1Went7sdvtBAcHExMT\nQ0REhC6O8j+EUomgdK15UzDdbvd3RNpb4SBlBZSyGszlcrFr1y6OHDlCSUkJJpPJa9fhDcrLy3nk\nkUeorKwkJCSEhx9+GJPJxLp167Q2bbwIQdYrsixz9epVKisr1VBHc3MzMTExajzaZDKNyVN0uVyc\nPXuWK1euTEpt7mTh2fKcmpoKfNtdee1y1clIGk4UxbscHBxUKxF8gWcN+bWNLGPZ3zc0NERjYyMu\nl0tdAVVXV6cmyDZu3Kjbh/jmzZspLS3FYDCQlZXF/v37dWvr9yAE2Z9QkkJlZWVUVFRQUVFBT08P\nRqNRFeiFCxeqntHw8LDaZRcfH8/s2bP94pgvyzKdnZ2cO3fue0vCfshLnD59us+2PCt2K/NJtF48\nq+C5CdtqtY7ayKLMsk5ISGDmzJm4XC527tzJBx98wJ49e8jOztb0Om4RhCD7Oy6XC7PZrNZG19TU\nIMsycXFxNDY28uijj/KrX/3KL+b9wrdhleDgYFJSUsZdMug5rF3xEj0FSBlP6m0GBwexWCwYDAa1\nmUaveDayXLlyhatXrxIQEEBwcDAtLS1ER0ezdetWfvGLX7BhwwZdX8tNhhDkmw2Xy8Xvf/97amtr\nuffee2lpaaGhoYGIiIgRpXd685Y9W56NRiPh4eFe+98Oh2NEE4vD4fDKthH49tTS1tam+1roa+nq\n6qK5uZmEhATCw8Opr69n27ZtfPnll0ybNo358+fz0EMPsXz5cq1NvVUQgnwzUlZWxqJFi1TBVY7S\nSsKwsrKSjo4OEhIS1IFKWVlZhIWFaSLSynF59uzZPqnRVpKGniI9kfpfm82G2WxWt7voPcmo4HQ6\nsVgsSJJEamoqQUFBnDx5kvXr17NkyRKKi4sJDAzk7NmzOJ1O0tPTJ92mK1eusHr1aurq6pAkidde\ne40777xz0l9XZwhBvlUZHh6mqalJjUdXV1czODjIHXfcoYr0/PnzJ/W4Ojg4SENDA5IkYTQaNW0u\nuLb+1zNp6DmeVJKkEd68sqzTX+js7OTs2bMkJSURHR2Nw+Hgueee4+OPP2bv3r0sWLBAE7sKCwvJ\nz89n9erVOJ1O7Ha7V09JfoIQZMG3OBwOamtr1Xh0XV0dt912G9nZ2WrS0Btdcf7S8uyZNLRarfT3\n96tjJ2fMmEFiYqIudhqOBYfDgcViYcqUKaSmphIYGEhtbS3r169n6dKl/OlPf9Ksxd9qtbJw4ULO\nnj3rF+/lJCIEWTA6sizT29tLZWWlKtItLS3ExcWpAp2Tk0NkZOSYbyTPlue5c+f6zTFfKWUbGBgg\nJiZGjUt7Vi0onrSeyq08Jw4qm0ccDgfPPPMMx48f55VXXiEzM1NTG2tra1mzZg0ZGRmcPHmSnJwc\ndu/ercs1T5OMEGTB+BgeHqa1tXVEPLqvr2/EgP/rbXF2Op00NTXhdDr9quXZswRPKQm79uHjOdnN\narWOmOymDA3Swvt0OByYzWYCAwMxGo0EBgZSXV1NUVERy5cv54knntDF4Kuqqiry8vL47LPPWLRo\nEevXrycsLIy//OUvWpvma4Qgj4fz58+zcuVKOjs7kSSJNWvWsH79eq3N0pyhoSHq6urUePSpU6eY\nMmUKWVlZ6lF06tSprFq1iujoaL85lg4MDGCxWAgKClIFbSzIsozdbh9RfueZNFTmUUzW6UAZFdva\n2kpKSgpRUVEMDg7y17/+lc8//5y9e/cyf/78SXntiXDx4kXy8vJoaWkB4Pjx4+zYsYMjR45oa5jv\nEYI8Hjo6Oujo6CA7O5u+vj5ycnJ49913ycjI0No0XSHLMn19fZSWlrJ9+3YiIiIYHh4mMjJyYEQa\nwgAACMVJREFUROndDw341wpZljl//jzt7e0YjUavLLq8XtJwMharDg4OYjabmTp1KkajEYPBQFVV\nFX/4wx948MEHefzxx3U54jM/P5/9+/eTmprK008/TX9/P88995zWZvmaMX34+vv0NCImJoaYmBjg\n6+x7eno6bW1tQpCvQZIkwsLCcDgcHDp0iMzMTGRZpr29XR3wv3fvXrq7u0lJSVEn3mVnZ2u+7bmv\nrw+LxUJERAS5uble82IDAgIIDQ0dUZGhJA2tVivnzp3DZrNhMBjUWPT06dPHvLNPeX+/+uorjEYj\nM2bMYHBwkK1bt1JeXs4bb7zhk/K1ifLSSy/x29/+FqfTSWJiIgcOHNDaJN0iPOTr0NLSwuLFi6mr\nq/OLDcx6xO12Y7FY1Fkd1dXVuN1uFixYoHrSGRkZPvHo3G63Ou8jLS1Ns1K20Xb2eYr0taWIAwMD\nmM1mdaGrwWBQF/j++te/pqioSJdeseA7iJDFRLDZbNxzzz1s3LiRZcuWaW3OTYXdbqe6ulqd1WE2\nmwkLCxsR6oiNjfVq84iyCcPXu/jGglJm59nE4pk0dDqd6kLXyMhIBgYG2LZtG9XV1ezdu5e0tDSt\nL0EwdoQgj5ehoSGWLFnCfffdx+OPP661OTc9sixz6dKlEQP+L1y4wNy5c0eU3k2fPn3cQupZ+aHM\n/PUHZFmmp6dHbaqZMmUKe/bs4fLly5w5c4alS5eyfft2v6lkEagIQR4PsixTWFhIZGQku3bt0tqc\nW5bh4WGam5tVga6qqsJut48Y8J+ZmTlqPbBnbW5iYqJfVX54zs5IS0sjPDwcu93Oli1bMJvN5Ofn\nc/78eU6dOsWbb75JcnKyT+xyu92YTCZiY2M5fPiwT17zJkQI8nj49NNPyc/PJzMzUz0yb9++nfvv\nv19jywROp5OTJ0+q9dF1dXVMnTp1xID/pKQkmpqaaGtrY9asWROaJqcldrsds9lMaGiougbqxIkT\n/PGPf6SwsJB169Zp1mizc+dOqqqquHr1qhDkiSME2Z8RXsnoyLKM1WpVB/yXlZXxxRdfYDAYWLZs\nGYsXL8ZkMhEVFaV771iWZb766is6OjpIT09n+vTp9Pf3s3XrVurq6ti3bx8pKSma2XfhwgUKCwvZ\nuHEjO3fuFN/FiTOmL6L2KxgE12X37t26LmXSEkmSCA8P5+c//zl//vOfue2221i1ahVHjx7lrrvu\n4vPPP2flypXceeedrFy5khdffJETJ05gt9sZpwMyqfT391NVVYXT6SQ3N5ewsDA+/fRTCgoKMBqN\nHD16VFMxBigqKuLZZ5/VxbaWWwFRL6NDLly4wJEjR1SvRPD9HDx4UE3apaamsmLFCuDr+dGnT5+m\nvLyc0tJSiouLkSSJH//4x2qoIzU11eehAFmWaW1tpbOzk7S0NNUrfvrpp7FYLPznP/8hKSnJpzZd\nj8OHDxMdHU1OTg7Hjh3T2pxbAhGy0CEPPPAATz75JH19ffztb38Tx0QvIcuy6pVWVFRQWVlJQ0PD\nd7oMR1sr5Q2UOcsREREkJiYiSRLHjx+nuLiY3/3ud6xdu1Y33uiTTz7J66+/jsFgUGd6LFu2jDfe\neENr0/wREUP2Rw4fPsz7779PSUkJx44dE4I8ySgDhjwHKl28eJHExMQRA/5DQ0NvSKSVwU3d3d2k\npaURFhaGzWZj06ZNnDlzhldffZWEhAQvXpl3Ed/FG0YIsj8ivBLtGR4eprGxccSAf6fT+Z0B/2Ot\n4ujr68NsNjNjxgwSEhKQJIlPPvmE4uJi1q5dy5o1a3TjFY+GEOQbRgiyvyNuAv0wODg4YsD/6dOn\nmTZt2ogB/3Pnzh0hrMPDw7S0tHDp0iV1+0hfXx9PPfUULS0t7Nu3j3nz5ml3UQJfIoYLCW4MsQvt\nW4KDg8nLyyMvLw/4tqNOGfD/1ltv0draypw5czCZTERGRvK///2PZ555BpPJhCRJfPzxx2zYsIFH\nH32UV155RfdescD3CA9ZMCpiF9r4UEIdGzZsoLKykpSUFC5fvozRaKSrq4uQkBD27dtHfHy81qYK\nfI8IWQgmjtiFNjHOnTvHO++8Q1FREVOmTGFoaIhTp07x3//+l02bNgmv+NZFCLJg4ohdaP6N2ICj\nO0SnnmDiuFwuqqurWbt2LTU1NUybNo0dO3ZobZZgjBgMBp5//nnq6+spKyvj5Zdfpr6+XmuzBD+A\nEGTBdYmLiyMuLo5FixYBXzerVFdXa2yVYKzExMSQnZ0NjNyAI9A3QpAF12XWrFnMmTOHhoYGAD78\n8EOxzspPaWlpoaamRn24CvSLKHsTjIrYheb/2Gw2li9fzq5du8Q6Mj9AJPUEfsELL7zA/v37kSSJ\nzMxMDhw44DdbQLRCbMDRFSKpJ7g5aGtr48UXX6Sqqoq6ujrcbjf//ve/tTZL18iyzKpVq0hPTxdi\n7EcIQRb4BS6Xi4GBAVwuF3a7ndmzZ2ttkq757LPPeP311/noo49YuHAhCxcu5P3339faLMEPIGLI\nAt0TGxvLE088QXx8PCEhIRQUFFBQUKC1Wbrm7rvv1tUwfsHYEB6yQPf09vby3nvvce7cOdrb2+nv\n7xfT7wQ3JUKQBbrn6NGjJCQkcPvttxMYGMiyZcs4ceKE1mYJBF5HCLJA98THx1NWVqbuxPvwww/F\nvkHBTcl4y94EAk2QJGkL8CDgAmqA1bIsO3z4+q8BS4AuWZbv+OZvkUApMA9oAVbIstzrK5sENx9C\nkAWCMSBJ0mLABhz0EORngR5ZlndIklQMRMiy/H9a2inwb4QgCwRjRJKkecBhD0FuAH4my3KHJEkx\nwDFZllM1NFHg54gYskAwcWbKstzxze8XgZlaGiPwf4QgCwReQP76qCmOm4IbQgiyQDBxOr8JVfDN\nzy6N7RH4OUKQBYKJcwgo/Ob3QuA9DW0R3ASIpJ5AMAYkSfoX8DMgCugENgPvAm8B8UArX5e99Whl\no8D/EYIsEAgEOkGELAQCgUAnCEEWCAQCnfD/3UAtkv2i/lUAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(111,projection='3d')\n",
"ax.scatter(a,b,c,c=\"blue\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Tabla de contenidos",
"title_sidebar": "Contenidos",
"toc_cell": true,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": true
}
},
"nbformat": 4,
"nbformat_minor": 2
}