Files
Data-Visualization/.ipynb_checkpoints/Line Charts-checkpoint.ipynb
2020-05-09 17:40:43 +05:30

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<!DOCTYPE html>\n",
"<html>\n",
"<body>\n",
"<div align=\"center\">\n",
"<h3>Prepared by Asif Bhat</h3>\n",
" \n",
"<h1>Data Visualization With Matplotlib</h1>\n",
"\n",
"<h3>Follow Me on - <a href=\"https://www.linkedin.com/in/asif-bhat/\">LinkedIn</a>&nbsp; <a href=\"https://mobile.twitter.com/_asifbhat_\">Twitter</a>&nbsp; <a href=\"https://www.instagram.com/datasciencescoop/?hl=en\">Instagram</a>&nbsp; <a href=\"https://www.facebook.com/datasciencescoop/\">Facebook</a></h3>\n",
"</div>\n",
"\n",
"</div>\n",
"</body>\n",
"</html>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"#Graph Styling\n",
"# https://tonysyu.github.io/raw_content/matplotlib-style-gallery/gallery.html\n",
"plt.style.use('seaborn-darkgrid')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Line Graphs"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EhYVBrVbDaDRe83GN5sZfAIPB3MYyW2m1Iaira2rXc0iJ3MYLcMxiOVBai7nbihAZEoi1mf3QOUjp1pq8Ycye1p4xR0Xd/H+od3y3fnJyMg4cOAAA2LNnD1JTU5GSkoK8vDzY7XZUVlbCbrffMAsnIu/0zU/VmPPxMcRqg/Hu5IGI1XIfFCm545n4vHnzsHDhQqxcuRJJSUnIyMiAUqlEamoqJk2aBLvdjpycHHfUSkQulltYieXfnMGArmFYOa4vNEG861hqFIIgCJ66WHV1Y7seL7c/weQ2XoBj9hRBEPDXA+ewfm8p0pIi8dojvRHkwX1Q+HO+M7daTuH/dolkxi4IWLWrGB/8cB4P9Y5GTkYP+HMfFMliiBPJiNVmx5KvTmH78UvISumK5x9Igh/b6CWNIU4kE80WG+Z/dgJ5xXrMGJaIJ4bEcR8UH8AQJ5KBxmYr/vuTYyg434CXRnTDYwNixC6JXIQhTuTjaowtmJ17FCWXm7Dskd4Y2TNK7JLIhRjiRD6sos6EWblHcdnYglXj+2JIYoTYJZGLMcSJfNTpagNm5R6D1WbHuon90bdLmNglkRswxIl8UOH5ejz/cRGCA/ywLmsAkjqEil0SuQlDnMjH7C3WY96/jqOTRoW1mf3QJSxI7JLIjRjiRD7k3ycu4o9fnEL3jqF487G+iAwJFLskcjOGOJGP+PCH8/jLzrMYFBeOv4ztA7WK/7zlgD9lIokTBAHv5Jfh3f3leKBbBywd3Rsqf7bRywVDnEjC7IKAFTvOYGthFR7t2wnzR/aAvx+7MOWEIU4kURabHYv//RO++qka0+6JxbPpOrbRyxBDnEiCTBYbXtx2HPtLazErXYdpg+PELolEwhAnkph6kwXPf3wMRRca8cpvumNsvy5il0QiYogTScilRjNm5R7FuToTXh+TjAe7dxS7JBIZQ5xIIsprTXh26xE0NFuxekI/pMZrxS6JvABDnEgCfrpowOyPjsIuAOt/2x+9O938uC6SF95MSuTlDp+rw+//WYhApR82Zg1ggNM1OBMn8mK7z1zGgs+Oo2t4MNZk9kMnjUrsksjLMMSJvNS/jl3Asq9OoVcnDVZN6AttcIDYJZEXYogTeaH3v6/Am7uLMSRBiz8/2gchgUqxSyIvxRAn8iKCIOCtvFL834PnMKJHR/zxoV4I5D4odAsMcSIvYbMLeO2b0/j06AVM6N8FLw7vBiX3QSEnGOJEXqDFasfC7Sfx7ekaTL83Hs8MTeA+KHRbGOJEIjOYrZjz8TEcKq/D8w8kYcqgWLFLIglhiBOJSN/Ughf+UYDjlQ3440M98XByJ7FLIolhiBOJwGKzY0tBJd7bXw6z1Y4VY/sg/a4OYpdFEsQQJ/IgQRCw83QN1nxXgoq6ZtybEIGFY5IRreIthNQ2DHEiDym60IhVu86i4HwDkjqE4M0JfTFUFwmtNgR1dU1il0cSxRAncrOqhma89V0JvjxZjciQAMwf2R2P9u3MY9TIJRjiRG5iMFvxt4Pn8MHhCigUCkwfEodpg+MQGsh/duQ6/G0icjGrXcAnR6rwTn4Zak0WPJwcjRnDEtE5LEjs0sgHMcSJXEQQBOwt0WP17hKU6JuQEhuONx9I4tax5FYMcSIXOHXJgFW7i3GovA7xEcH4y9hk3HdXB3ZdktsxxInaodpgxvq8UnxWdBFhQf747wfvwmMDuiBAyU2ryDMY4kRtYLLYsPnQOWw+VAGbIGDKoFhMvzcOYUHc85s8q80hPm7cOGg0rWt9sbGxmDRpEpYtWwalUom0tDQ8++yzLiuSyFvY7AI+L7qI9XtLUWNswYgeHTEzXYdYbbDYpZFMtSnEzWYzAGDz5s2Oj40dOxZr1qxBXFwcnn76aRQVFaFPnz6uqZLICxwoq8Wbu4txutqIfl00eH1MbwzoGi52WSRzbQrxkydPwmQyYfr06bBarZg1axZaWloQHx8PAEhLS8O+ffsY4uQTSi43YfWeYuQV6xETpsKy0b0wsmcUX7Qkr9CmEA8KCsKTTz6JiRMnorS0FE899RTCwsIcnw8NDcW5c+dueJxarYK/f9v3iFAq/aDVhrT58VIjt/EC3jXmywYzVu88gw+/r0BwgBIvZvTEtCHxUAW4dp8Tbxqzp3DMrtOmENfpdEhIaN20XqfTQaPRoK6uzvF5o9F4TahfZTCY214pILs9JuQ2XsA7xmy22vHB4Qr87eA5NFtsmDAgBk/9Kh4RIYEwGc0wufh63jBmT+OY70xU1M17DdoU4lu3bsWpU6ewePFiXLx4ESaTCSEhISgvL0dcXBzy8vL4wiZJjl0Q8NXJarz1XQkuNJqRnhSJ2fclIbGDvGaMJC1tCvHMzEzMnz8fkydPhkKhwKuvvgo/Pz+88MILsNlsSEtLw4ABA1xdK5HbFFTU443dxTh+oRE9o9VYNKonUuO1YpdF5JRCEATBUxerrm5s1+Pl9ieY3MYLeH7M52pNWPNdCXaerkG0OhAz0hLxcHIn+HnwRUv+nOXBq5ZTiKSu3mTBe/vLsaWgEgFKBX4/NAGPp8YiyMUvWhK5G0OcZOXnx6IZzFaM6dsZzwxNQEe1SuzSiNqEIU6y8EvHoj13fxK6RYWKXRpRuzDEyefd7Fg0Il/AECefxWPRSA4Y4uRzeCwayQl/q8lnXH8s2kO9o/GHNB6LRr6NIU6Sd/2xaHfHhmPV/UlI7sxj0cj3McRJ0q4/Fm3Fo8m4vxuPRSP5YIiTJFUbzNiwtxT/OsZj0UjeGOIkKSaLDe8fqsD/HjoHq53HohExxEkSbHYBnx+/iA17S1Ft4LFoRFcxxMnrHSyrxaorx6L17aLBa4/wWDSiqxji5LV+fixaFx6LRvSLGOLkdfRNLXgnvwyfHKlCUIASs9J1mJTSFSp/vmhJdD2GOHmNxmYrPtxTjPW7z95wLBoR/TKGOIlGEAScrjYiv0SP/BI9jlQ2wCaAx6IR3QGGOHmUwWzFwbJa5JfUYl+pHpcMLQCAntFqTBsch9EDuyJBzZk30e1iiJNbCYKAszVNyC/RY2+JHoWVDbDZBahVSgxJiMBQXSSGJkY4DmWQ47FdRO3BECeXM7ZYcaisDnuvLJNcnW13jwrF46mxGKaLRL8uGvizu5Ko3Rji1G6CIKBE34S9xXrkl9aioKIeVruA0EAlBidE4GldBH6VGIloDY9AI3I1hji1SVOLDYfK67CvVI+9xXpcaDQDAO7qGIIpg7piqC4S/WPCuJcJkZsxxOm2CIKAMr3JsUTy4/l6WGwCQgKUGJygxRP3xmNoYgT37ibyMIY43ZTJYsP35XWOWwArG1pn27oOIfjtwK4YlhSBgV3DOdsmEhFDnBwEQUB5rQn5pbXIL9bjh4o6tNgEBPn7YXBCBKYNjsNQXSS6cLZN5DUY4jLXbLHh8Ln61tl2qR4Vdc0AgMTIYGQOjMFQXSTu7hqOQLa8E3klhrgMnas1Oe7b/qGiHmarHSp/P9wTr8WUQbEYqotA13Bu8UokBQxxGTBb7fihog57i/XYV1qL8loTACA+Ihjj+3fBUF0EUmK13GCKSIIY4j6qos7kaG0/VF7nmG0PigvHpLtbl0l4oAKR9DHEfUSL1Y4fK+odtwCWXZltx2qDMK5fZ/xKF4lBseEIClCKXCkRuRJDXMIq65sdt/8dKq9Ds9WOQKUCKXFaPDYwBsN0kYiP4GybyJcxxCXEYmudbeeX1CK/RI8SfetGUTHhQRjTtzOG6iKQGqflbJtIRhjiXu5CQ7Pjvu1D5XVostgQoFQgJTYc4/p3xlBdJBIignlkGZFMMcRF1tRiwyWDGdUGM6oNLbjUeOWtwYyKejPOVBsAAF3CVHgoORpDdZFIjdMiJJCzbSJiiLuNXRCgb7Kg2mDGpcaWKyFtxiVDi+NjlwxmGFtsNzxWrVIiSq1CfGQIRidHY6guArrIEM62iegGDPE2aLbYHLPlSwYzqq8EcvXVgDa0oMbYAptduOZxSgXQITQQUWoVEjuEYHCCFlFqFaLUgYi++lajQvCVNW0ekEBEzjDEf8YuCKgzWX4Wyj+bORtaHEseDc3WGx4bGqhElLo1oFPjwq+EswrR6kBEaVrfRoYEQunH2TQRuY5sQtxstTtC+NpljWsD2nrd7FmBq7PnQMSGB+PuruGI1qgcgd1JrUKUJhChgbL5VhKRF3Fp8tjtdixevBg//fQTAgMDsXTpUiQkJLjyEjcQBAH1zdZrXhC8fuZ8qdGM+l+YPQf5+zkCeWDX8BtmzlFqFTqEBsKfs2ci8lIuDfFvvvkGLS0t+PDDD1FQUIDXX38d69evd8lzHyirReXxSyi7ZLjhRcIW242z54iQAESrVeisUaF/TJhj5hzteKuCWqXki4VEJGkuDfHDhw8jPT0dADBw4EAcO3bMJc+rb2rB7NyjsAuAyt/PEch9u2gQpe54zQuDnTQqdAwN5CG8RCQLLg1xg8EAtVrteF+pVMJqtcLfv/UyarUK/v53fn+zVhuC/BcfRGCAEupA+cyelUo/aLUhYpfhURyzPHDMruPSEFer1TAajY737Xa7I8ABwGAwt/m5lQA0apWsbrmT4y2GHLM8cMx3JipKc9PPuXTNISUlBXv27AEAFBQUoEePHq58eiIiuo5LZ+IjR47E3r17kZWVBUEQ8Oqrr7ry6YmI6DouDXE/Pz/86U9/cuVTEhHRLfAWDiIiCWOIExFJGEOciEjCGOJERBKmEARBcP5lRETkjTgTJyKSMIY4EZGEMcSJiCRMMiFeWFiI7OxsscvwCIvFgrlz52LKlCnIzMzEjh07xC7J7Ww2G+bPn4+srCxMnToV5eXlYpfkEZcvX8b999+Ps2fPil2Kx4wbNw7Z2dnIzs7G/PnzxS7H7d5++21MmjQJEyZMwJYtW1z+/JI4jmbjxo3Ytm0bgoODxS7FI7Zt2watVosVK1agtrYW48ePx/Dhw8Uuy6127twJAPjHP/6BAwcO4LXXXnPZXvTeymKxICcnB0FBQWKX4jFmc+smeJs3bxa5Es84cOAAfvzxR3zwwQcwmUzYtGmTy68hiZl4fHw81qxZI3YZHjNq1Cg899xzjveVyjvfvldqRowYgSVLlgAAKisr0bFjR5Ercr/ly5cjKysL0dHRYpfiMSdPnoTJZML06dMxbdo0FBQUiF2SW+Xl5aFHjx6YOXMmnnnmGTzwwAMuv4YkZuIZGRmoqKgQuwyPCQ0NBdC6P/vs2bMxZ84ckSvyDH9/f8ybNw9ff/01Vq9eLXY5bvXRRx8hMjIS6enpeOedd8Qux2OCgoLw5JNPYuLEiSgtLcVTTz2FL7744potq31JbW0tKisrsWHDBlRUVGDGjBn44osvXHomgiRm4nJUVVWFadOmYezYsRgzZozY5XjM8uXL8eWXX2LhwoVoavLd/aZzc3ORn5+P7OxsnDhxAvPmzUN1dbXYZbmdTqfDo48+CoVCAZ1OB61W69Pj1mq1SEtLQ2BgIJKSkqBSqaDX6116DYa4F6qpqcH06dMxd+5cZGZmil2OR3zyySd4++23AQDBwcFQKBQ+vYz097//He+//z42b96M3r17Y/ny5YiKihK7LLfbunUrXn/9dQDAxYsXYTAYfHrcgwYNwnfffQdBEHDx4kWYTCZotVqXXsM3/4aRuA0bNqChoQHr1q3DunXrALS+uOvLL4D95je/wfz58zF16lRYrVYsWLAAKpVK7LLIxTIzMzF//nxMnjwZCoUCr776qs8upQDAgw8+iEOHDiEzMxOCICAnJ8flkxO23RMRSRiXU4iIJIwhTkQkYQxxIiIJY4gTEUkYQ5yISMIY4kREEsYQJyKSMIY4EZGE/X/PaDha3D0hxwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# By default Plot() function will draw a line chart.\n",
"x = np.array([1,2,3,4,5,6])\n",
"y = np.power(x,3)\n",
"plt.plot(x,y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 10, 1000) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"# Recover default matplotlib settings\n",
"mpl.rcParams.update(mpl.rcParamsDefault)"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 10, 1000) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [],
"source": [
"plt.style.use('seaborn-darkgrid')\n",
"%matplotlib inline "
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,5))\n",
"x = np.linspace(0, 10, 1000) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Solid blue line will be plotted using the argument \"b-\"\n",
"plt.figure(figsize=(10,5))\n",
"x = np.linspace(0, 10, 1000) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y,'b-')\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Solid red line will be plotted using the argument \"r-\"\n",
"plt.figure(figsize=(10,5))\n",
"x = np.linspace(0, 10, 1000) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y,'r-')\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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t6h9qabxbWZhJkqTKbVu/nWV9y04ZW9a3jG3rt7cpojJZmEmSpMrZ53N+3JUpSZJqsXnNFguxOThjJkmat+EDe1m3Zy3nXreCdXvWMnxgb7tDkjqKM2aSpHmxD5VUvZZmzBq3VZIkdSH7UEnVm3PGLCJeyMS9LJcCfx4R12TmX1QemSSpKPahkqo3nxmwPwQ+CfwWsBr4tUojkiQVyT5UUvXmU5g92Pj3aGaeAAYqjEeSVCj7UEnVm09h9n+BzwE3RMR24J+qDUmSVCL7UEnV6xkfH5/zRRHRn5ljEXFuZn6jhrhacvjw0bm/idM0OLicI0eOVf02apF5KY85KZN5KY85KVMdeVm5cqBnpmMzzphFxBWNfz8AvDsibgLe1vhXUgXsESVJ3W22XZkfa/z7rinjlc9OSd3IHlGSpBlnzDLzS42Hm4A7MvN24EvApXUEJnUbe0RJkuaz+P8E8KmIuAC4Hfh4tSFJ3ckeUZKk+RRmbwVGgQ8B78rMGyuNSOpS9oiSJM2nMLsd+DbwY8DzIuLd1YYkdSd7REmS5nMT8z/LzL9vPH5BRLjGTKrA5AL/nSM7ODQ2yqr+Ibat3+7Cf0nqInMWZpNFWUQ8AXgNE7dm2l1xXFJX2rxmi4WYJHWx+dzE/HzgtcAzgP8BPGWhbxYRS4DrgCczsangosy8t+n4K4BXASeBqzLz4xHxw8BNwDLga8CFmVlbR77hA3udwZAkSbWYrcHsH0TE3cBLgGuBz2bm1Zn576fxfhcAZ2fm04HLG1938v0eD7yOiQLwucDVEbEUeAtwU2Y+E/giE4VbLSb7So2OHWSc8Yf7Stn0U5IkVWG2xf9/CHySiTVm/wB8/wy83wbgNoDMHAGe1nTsPGB/Zp7IzPuBe4GfaT4HuBV49hmIY17sKyVJkuo026XMHwc2A2+PiOXAYyNiRaNoWqhzgObzH4qIvsw8Oc2xo8CKKeOTY6fo719KX1/vaYQ1vdn6Sg0OLj/j76fW9fYuMReFMSdlMi/lMSdlandeZizMMvMEE2u7boqIJwIXAV+KiM9l5m8u8P0eAAaani9pFGXTHRsAjjSNH28aO8XY2IkFhjO7Vf1DjI4dnHbcG8+WwZsAl8eclMm8lMeclKmmm5jPeGw+fczIzHsz83LgJ4C/PY1Y9gPnA0TEeuDupmN3Ac+MiLMjYgXwU8A9zefQuD3Uabx/S+wrJUmS6jSfPmYPy8yHgJtP4/1uBp4TEZ8BeoALI2IrcG9mfjQi3sFE4bUE2JaZD0bEVcCNjR2b32JiM0It7CslSZLq1DM+Pt7uGE7b4cNHK/8mnHIuk3kpjzkpk3kpjzmZn7rbVtV0KbNnpmPzupQJEBGbzkw4kiRJc+vGtlXzLsyAN1QWhSRJ0hTd2LaqlcJsxmk3SZKkM222tlWdqpXC7IrKopAkSZpiVf9QS+OdYN6FWWburzIQSZKkZt3Ytmq2e2X+dJ2BSJIkNdu8Zgu7Nu5mqH81PfQw1L+aXRt3d3Tbqtn6mH0oIt6VmX9ZWzSSJElNNq/Z0tGF2FSzXcp8KhAR8YmIeHxdAUmSJHWr2e6V+R3gkoh4FrA/Iv6p6Vht3fclSdWou3GnpLnNekumiPivwNXAPmBPHQFJkqo32bhzskfUZONOwOJMaqMZC7OI+GPgYuC1mfn39YUkSarabI07Lcyk9pltxuxpwNMy89t1BSNJqkc3Nu6UFoPZ1pi9sM5AJEn1WdU/xOjYwWnHJbVPK53/JUkdohsbd0qLgYWZJHWhbmzcKS0Gs+7KlFQ+Wx5oobqtcae0GFiYSYuYLQ8kqbN4KVNaxGZreSBJWnwszKRFzJYHktRZLMykRWym1ga2PJCkxcnCTFrEbHkgSZ3FwkxaxGx5IEmdxV2Z0iJnywNJ6hy1FWYRsQx4P/A44CjwO5l5eMpr/hzY0Ijr3Zn5noj4QeAAcE/jZTdn5tvriluSJKkudc6YXQLcnZlvjYgXAVcAr588GBG/CDwxM58eEUuBL0fEh4F1wAcy89IaY5UkSapdnYXZBuCaxuNbgTdPOf5Z4J8bj8eBXuB7wFOBdRFxO/BN4HWZ+e/VhytJklSvSgqziHg5cNmU4W8A9zceHwVWNB/MzAeBByPiLOBGJi5ljkXEV4HPZ+anIuKlwG7gN5vP7e9fSl9fbwXfySN6e5cwOLi80vdQ68xLecxJmcxLecxJmdqdl0oKs8y8Hri+eSwiPgIMNJ4OAEemnhcRPwB8GNiXmVc3hj8NHGs8vhm4cup5Y2MnzkzgsxgcXM6RI8fmfqFqZV7KY07KZF7KY07KVEdeVq4cmPFYne0y9gPnNx5vAu5oPtjYHPAPwA2Z+SdNh94LbG48/mXg8xXHKUmS1BZ1rjF7J3BjRNwJfBd4CUBEXMPELNkzgCcAr4iIVzTOuRC4HLghIl4NfAe4qMaYJUmSatMzPj7e7hhO2+HDRyv/JpxyLpN5KY85KZN5KY85qc7wgb3sHNnBobFRVvUPsW399nn3e6zpUmbPTMdsMCtJkjrG8IG9bN13KcdPHgdgdOwgW/dNdNxaDM24vSWTJEnqGDtHdjxclE06fvI4O0d2tCmi1liYSZKkjnFobLSl8dJYmEmSpI6xqn+opfHSWJhJkqSOsW39dpb1LTtlbFnfMrat396miFpjYSZJkjrG5jVb2LVxN0P9q+mhh6H+1ezauHtRLPwHd2VKkqQOs3nNlkVTiE3ljJkkdYDhA3tZt2ct5163gnV71jJ8YG+7Q5K0AM6YSdIit9j7Nkl6hDNmkrTILfa+TZIeYWEmSYvcYu/bJOkRFmaStMgt9r5Nkh5hYSZJi9xi79sk6REWZpK0yC32vk2SHuGuTKkLDR/Yy86RHRwaG2VV/xDb1m/3l/git5j7Nkl6hIWZ1GVsrSBJ5fJSptRlbK0gSeWyMJO6jK0VJKlcFmZSl7G1giSVy8JM6jK2VpCkclmYSV3G1gqSVC53ZUpdyNYKklQmZ8wkSZIKUduMWUQsA94PPA44CvxOZh6e8pqPAj8EfA84npmbIuKJwPuAceAe4DWZ+f264pYkSapLnTNmlwB3Z+YzgT3AFdO85onAhszcmJmbGmO7gCsa5/UAL6glWkmSpJrVWZhtAG5rPL4VeHbzwYg4FxgEPhYRd0bErzYOPRW4fabzJEmSOkUllzIj4uXAZVOGvwHc33h8FFgx5fhjgGuBtwM/COyPiLuAnswcn+U8+vuX0tfXe4ain15v7xIGB5dX+h5qnXkpjzkpk3kpjzkpU7vzUklhlpnXA9c3j0XER4CBxtMB4MiU074OvCszTwLfjIgvAgE0ryeb7jzGxk6cochnNji4nCNHjlX+PmqNeSmPOSmTeSmPOSlTHXlZuXJgxmN1XsrcD5zfeLwJuGPK8WcDewEioh94EvAV4IsRsXGW8yRJkk7L8IG9rNuzlqV/ehbr9qxl+MDetsRRZx+zdwI3RsSdwHeBlwBExDXAhzPz1oh4bkSMMDFL9qbM/FZE/AHwnoh4DBOF2odrjFmSJHW44QN72brvUo6fPA7A6NhBtu67FKD2no894+Pjc7+qcIcPH638m3DKuUzmpTzmpEzmpTzmpBzr9qxldOzgo8aH+lfzhZd9+Yy/38qVAz0zHbPBrCRJ6mqHxkZbGq+ShZkkSepqq/qHWhqvkoWZJEnqatvWb2dZ37JTxpb1LWPb+u21x2JhJkmSutrmNVvYtXE3Q/2r6aGHof7V7Nq4u/aF/1DvrkxJ0jwMH9jLzpEdHBobZVX/ENvWb2/LLwipm2xes4XNa7a0fVOGhZkkFaSkbfuS6uelTEkqyM6RHQ8XZZOOnzzOzpEdbYpIUp0szCSpICVt25dUPwszSSpISdv2JdXPwkySClLStn1J9bMwkzQvkzf4Pfe6FW29wW+nK2nbvqT6uStT0pzcKVivyW37krqPM2aS5uROQUmqh4WZpDm5U1CS6mFhJmlO7hSUpHpYmEmakzsFJakeFmaS5uROQUmqh7syJc2LOwUlqXrOmEmSJBXCwkySJKkQFmaSJEmFsDCTJEkqhIWZJElSIWrblRkRy4D3A48DjgK/k5mHm44/D7i88bQH2AA8CVgGfAz4l8axd2bmB+uKW5IkqS51tsu4BLg7M98aES8CrgBeP3kwM28DbgOIiDcA+zPzKxFxEbArM6+tMVZJkqTa1VmYbQCuaTy+FXjzdC+KiCHgt4GfbQw9dWI4XsDErNnvZ+bRimOVJEmqXSWFWUS8HLhsyvA3gPsbj48CK2Y4fSvwtsw80Xh+F/DezPx8RGwDtgN/2HxCf/9S+vp6z0jsM+ntXcLg4PJK30OtMy/lMSdlMi/lMSdlandeKinMMvN64PrmsYj4CDDQeDoAHJl6XkQsAX4V2NY0fHNmTr72ZmD31PPGxk5MHTrjBgeXc+TIscrfR60xL+UxJ6caPrCXnSM7ODQ2yqr+Ibat396WOyiYl/KYkzLVkZeVKwdmPFbnrsz9wPmNx5uAO6Z5zZOAr2bm8aaxT0TEeY3Hvwx8vroQJenMGT6wl637LmV07CDjjDM6dpCt+y5l+MDedocmqVB1FmbvBNZGxJ3AK4EdABFxTVPhFcC/TTnvEuAvI2If8AzgqnrClaTTs3NkB8dPHj9l7PjJ4+wc2dGmiCSVrmd8fLzdMZy2w4ePVv5NOOVcJvNSHnPyiHOvW8E4j/546qGHb7z6/mnOqI55KY85KVNNlzJ7Zjpmg1lJlRk+sJd1e9Zy7nUrWLdnbdddwlvVP9TSuCRZmEmqhOurYNv67SzrW3bK2LK+ZWxbv71NEUkqnYWZpEq4vgo2r9nCro27GepfTQ89DPWvZtfG3W3ZlSlpcaizwaykLnJobLSl8U61ec0WCzFJ8+aMmaRKuL5KklpnYSapEq6vkqTWWZhJqoTrqySpda4xk1QZ11dJUmucMZMkSSqEhZkkSVIhLMwkSZIKYWEmSZJUCAszSZqnbr/3p6TquStTkuZh8t6fk7eZmrz3J+DOU0lnjDNmkjQP3vtTUh0szCQVpdTLhd77U1IdLMwkFWPycuHo2EHGGX/4cmEJxZn3/pRUBwszScUo+XKh9/6UVAcLM0nFKPlyoff+lFQHd2VKKsaq/iFGxw5OO14C7/0pqWrOmEkqhpcLJXU7CzNJxajzcmGpuz8ldTcvZUoqykIuFw4f2MvOkR0cGhtlVf8Q29Zvn/Vr2CxWUqlqL8wi4teBF2bmS6Y59grgVcBJ4KrM/HhE/DBwE7AM+BpwYWYeqzNmSeVaSJE12+5PCzNJ7VTrpcyIeDtw9XTvGxGPB14HPAN4LnB1RCwF3gLclJnPBL7IROEmScDCWmyUvPtTUnere43ZZ4BLZjh2HrA/M09k5v3AvcDPABuA2xqvuRV4duVRSlo0FlJk2SxWUqkquZQZES8HLpsyfGFmfjAiNs5w2jnA/U3PjwIrpoxPjp2iv38pfX29pxXzXHp7lzA4uLzS91DrzEt56s7J6nNWc98D9007PlMcO39pJ5fccjHHTj6yKmJ533J2/tLOjv3/kz8r5TEnZWp3XiopzDLzeuD6Fk97ABhoej4AHGkaP940doqxsRMLC7QFg4PLOXLEpW2lMS/lqTsnbzzvLaesMYOJFhtvPO8tM8axaegCrt343UdtGNg0dEHH/v/Jn5XymJMy1ZGXlSsHZjxW0q7Mu4CdEXE2sBT4KeAeYD9wPvA+YBNwR7sClFSeycX6rezKnDzPhf6SStP2wiwitgL3ZuZHI+IdTBReS4BtmflgRFwF3NjYsfkt4FG7OSV1N4ssSZ2iZ3x8vN0xnLbDh49W/k045Vwm81Iec1Im81Iec1Kmmi5l9sx0zM7/kiRJhbAwkyRJKoSFmSRJUiEszCRJkgphYSZJklQICzNJkqRCdES7DEmSpE7gjJkkSVIhLMwkSZIKYWEmSZJUCAszSZKkQrT9Juali4glwHXAk4ETwEWZeW97o+puEXEWcAPw48BS4KrM/Ghbg9LDIuJxwOeB52TmV9sdT7eLiDcCzwceA1yXmde3OaSu1/gMu5GJz7CHgFf4s9I+EfFzwJ9l5saIeCLwPmAcuAd4TWZ+v854nDGb2wXA2Zn5dOBy4No2xyP4LeDbmflMYBPr/nwFAAAD8klEQVTwV22ORw2NXzj/Ezje7lgEEbER+HngGcAvAKvbGpAmnQ/0ZebPA1cCO9scT9eKiD8C3guc3RjaBVzR+P3SA7yg7pgszOa2AbgNIDNHgKe1NxwBHwLe3PT8ZLsC0aP8BfAu4GvtDkQAPBe4G7gZ+Bjw8faGo4YDQF/jisw5wPfaHE83+1fgN5qePxW4vfH4VuDZdQdkYTa3c4D7m54/FBFeAm6jzBzLzKMRMQB8GLii3TEJIuJ3gcOZ+Yl2x6KH/TATf0y+ELgY+NuI6GlvSALGmLiM+VXgPcA72hpNF8vMYU4tjHsyc7LB61FgRd0xWZjN7QFgoOn5ksx0hqbNImI18I/A/8rMm9odjwD4PeA5EbEPeAqwJyIe396Qut63gU9k5nczM4EHgZVtjklwGRN5WcPE+uUbI+LsOc5RPZrXkw0AR+oOwMJsbvuZWA9ARKxn4rKA2igizgX+N/DHmXlDu+PRhMx8Vmb+QmZuBP4ZeFlmfr3NYXW7O4HnRURPRPwI8FgmijW113/yyJWY/wDOAnrbF46afLGxNhMm1jDfUXcAXpKb281MzAJ8homFgBe2OR7Bm4AfAN4cEZNrzTZlpgvOpSaZ+fGIeBZwFxN/iL8mMx9qc1iCtwE3RMQdTOyWfVNmfqfNMWnCHwDviYjHAF9hYrlMrbxXpiRJUiG8lClJklQICzNJkqRCWJhJkiQVwsJMkiSpEBZmkjpSRDwnIr4UEcsaz38kIu6OiFUtfI2zI+LrEfGGOV73lIh4y+nGLEnuypTUsSLiGqAfeD3waeDKzPxkC+e/FPhZ4DnAT9d9M2NJ3cc+ZpI62TYmmqz+HfCpVoqyhouA3wcex0Sj6Y9HxK8Cf8zETcG3A8uAW4CLM/NFEfE+4CeYuCnyX2TmB8/ENyKpO3gpU1LHyszvMXEvwucAf9PKuRHxk8BjM/NLwA3Aaxpf8+PAF4AbmSjO3tR0zgDwi0zcFHkTdnOX1CILM0kdKyJ+DHgD8EfA+yOid8rxDRGxr/G/X5ly+kXAYyPitsbX2BART2wcuwZ4MfCO5nvnZuZR4LXAu4EPAkur+L4kdS7XmEnqSI1bqtwB7MjMWyLi/cC/Zeaci/Qjog/4V+C/ZeZ/NMa2AT+UmVsj4qPAJ4CLgWcxcSPqi5m4OfWrMvOtjZtSHwT+S3PxJkmzccZMUqe6FrgzM29pPH818OKmGxTP5vnA5yeLsoa/AX47Il4PfDMz/7rxHu9tes3XgcdHxBeBTzKxxsyiTNK8OWMmSZJUCGfMJEmSCmFhJkmSVAgLM0mSpEJYmEmSJBXCwkySJKkQFmaSJEmFsDCTJEkqhIWZJElSIf4/qzLMDuRybdQAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot green dots using the argument \"go\"\n",
"plt.figure(figsize=(10,5))\n",
"x = np.linspace(0, 10, 40) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y,'go')\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plotting red dots using the argument \"ro\"\n",
"plt.figure(figsize=(10,5))\n",
"x = np.linspace(0, 10, 40) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y,'ro')\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plotting traingular dots using the argument \"r^\"\n",
"plt.figure(figsize=(10,5))\n",
"x = np.linspace(0, 10, 40) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y,'r^')\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plotting traingular dots using the argument \"rv\"\n",
"plt.figure(figsize=(10,5))\n",
"x = np.linspace(0, 10, 40) \n",
"y = np.sin(x) # Sine Graph\n",
"plt.plot(x,y,'rv')\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Plotting multiple sets of data\n",
"plt.figure(figsize=(10,5))\n",
"x = np.array([1,2,3,4,5,6])\n",
"y1 = np.power(x,2)\n",
"y2 = np.power(x,3)\n",
"plt.plot(x,y1, \"b-\" , label = '$y1 = x^2$') # Setting up legends \n",
"plt.plot(x,y2, \"r-\" ,label ='$y2 = x^3$') # Setting up legends\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.legend()\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Plotting multiple sets of data\n",
"x = np.linspace(0, 10, 2000) \n",
"plt.figure(figsize=(10,6))\n",
"plt.plot(x,np.sin(x) , label = '$Sin(X)$')\n",
"plt.plot(x,np.cos(x) , label = '$cos(X)$')\n",
"plt.xlabel(r'$X$' , fontsize = 18)\n",
"plt.ylabel(r'$Y$' , fontsize = 18)\n",
"plt.title(\"$Sin(x) $ $ & $ $ Cos(x)$\" ,fontsize = 14)\n",
"plt.legend(loc = 'upper right') # Legend will be placed at upper right position\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Changing the line style\n",
"plt.figure(figsize=(10,5))\n",
"x = np.array([1,2,3,4,5,6])\n",
"y1 = np.power(x,2)\n",
"y2 = np.power(x,3)\n",
"plt.plot(x,y1, \"b-\" , label = '$y1 = x^2$') # Setting up legends \n",
"plt.plot(x, y2,color='red',linewidth=1.0,linestyle='--') # Setting up legends\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.legend(loc='upper center', fontsize='large')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x648 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Line Styling\n",
"x = np.linspace(0, 10, 2000) \n",
"plt.figure(figsize=(16, 9))\n",
"plt.plot(x,np.sin(x) , label = '$Sin(X) $ $ Dashed $' , linestyle='dashed')\n",
"plt.plot(x+1,np.sin(x) , label = '$Sin(X) $ $ Dashdot $' , linestyle='dashdot')\n",
"plt.plot(x,np.cos(x) , label = '$cos(X) $ $ Solid $' , linestyle='solid')\n",
"plt.plot(x+1,np.cos(x) , label = '$cos(X)$ $ Dotted $' , linestyle='dotted')\n",
"plt.xlabel(r'$X$' , fontsize = 18)\n",
"plt.ylabel(r'$Y$' , fontsize = 18)\n",
"plt.title(\"$Sin(x) $ $ & $ $ Cos(x)$\" ,fontsize = 14)\n",
"plt.legend(loc = 'upper right' , fontsize = 14 , bbox_to_anchor=(1.2, 1.0)) # Legend will be placed at upper right position\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x648 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Line Styling\n",
"x = np.linspace(0, 10, 2000) \n",
"plt.figure(figsize=(16, 9))\n",
"plt.plot(x,np.sin(x) , label = '$Sin(X) $ $ Dashed $' , linestyle='--')\n",
"plt.plot(x+1,np.sin(x) , label = '$Sin(X) $ $ Dashdot $' , linestyle='-.')\n",
"plt.plot(x,np.cos(x) , label = '$cos(X) $ $ Solid $' , linestyle='-')\n",
"plt.plot(x+1,np.cos(x) , label = '$cos(X)$ $ Dotted $' , linestyle=':')\n",
"plt.xlabel(r'$X$' , fontsize = 18)\n",
"plt.ylabel(r'$Y$' , fontsize = 18)\n",
"plt.title(\"$Sin(x) $ $ & $ $ Cos(x)$\" ,fontsize = 14)\n",
"plt.legend(loc = 'upper right' , fontsize = 14 , bbox_to_anchor=(1.2, 1.0)) # Legend will be placed at upper right position\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Shading Regions with fill_between() function\n",
"x = np.linspace(0, 10, 2000) \n",
"plt.figure(figsize=(10,6))\n",
"plt.plot(x,np.sin(x) , label = '$Sin(X)$')\n",
"plt.plot(x,np.cos(x) , label = '$cos(X)$')\n",
"plt.fill_between(x,0,np.sin(x))\n",
"plt.fill_between(x,0,np.cos(x))\n",
"plt.xlabel(r'$X$' , fontsize = 18)\n",
"plt.ylabel(r'$Y$' , fontsize = 18)\n",
"plt.title(\"$Sin(x) $ $ & $ $ Cos(x)$\" ,fontsize = 14)\n",
"plt.legend(loc = 'lower left') # Legend will be placed at lower left position\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Changing Legend position & font\n",
"x = np.array([1,2,3,4,5,6])\n",
"y1 = np.power(x,2)\n",
"y2 = np.power(x,3)\n",
"plt.plot(x,y1, \"b-\" , label = '$y1 = x^2$') # Setting up legends \n",
"plt.plot(x,y2, \"r-\" ,label ='$y2 = x^3$') # Setting up legends\n",
"plt.xlabel(\"X - Axis\")\n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.legend(loc='upper center', fontsize='large')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Changing line width\n",
"plt.figure(figsize=(10,6))\n",
"x= [1,2,3,4,5,6,7,8,9] \n",
"y= [7,8,9,10,7,11,12,13,14]\n",
"y2 = [7,7,7,7,7,7,7,7,7]\n",
"plt.plot(x , y, linewidth = 4 ,label = 'Line -1') # Changing line width\n",
"plt.plot(x , y2, linewidth = 3,label = 'Line - 2')\n",
"plt.xlabel('X Axis Label')\n",
"plt.ylabel('Y Axis Label')\n",
"plt.title ('Line Graph')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EPAxrtZcRrffSOMGB4hwSjc/95MnXV/s3GrVJ7tbaHCDTGHMN8DhwZeBrzjprXMTrmD17JhMnXh7x88QqN4/fzWMHd49fY3fn2MEd4/9iYwEPfLiOvBCpVe/2KUydYDjBhamV05/7qDRYxpi3gN9ba9cB+4DKaJxXRESkodpbUsbj8zfy7urgWTeNE+DUlnt49PLTaZKoOwSdEK0E6yHgJWNMKVAMXBOl84qIiDQ4R1Kr/aFTq7vHG1Z//paaKwdFrMGy1mYDw3x/XgCMjNS5RERE3GBfSTmPz9/AO9WkVlee2o2rh2XQJLERqx2oT47SQqMiIiJx4MtNhTzwwVp2hUiterXzzrXq19F9c61ilRosERGRGLavpJwn5m/g7RCpVaMEuGJoNyYNz9DlwBijBktERCRG1ZRa9fSlVv2VWsUkNVgiIiIxZv8hb2r11iqlVvFKDZaIiEgMWZhdyP1zq0mt2qYwdUIW/Tu1cqAyORZqsERERGLA/kPlPDl/I/9btSPoWKME+NmQblw7IoOmSq3ighosERERh9WWWt09IYsBSq3iihosERERh+w/VM6Tn27kf98qtWpo1GCJiIg4YFF2Ifd/sI6d+w4FHevRthlTJxilVnFMDZaIiEgU7T9UzlOfbuS/1aRWlw/uynUjeyi1inNqsERERKJkcXYR93+wlh0hUquMVG9qdWJnpVYNgRosERGRCNt/qJw/f7aR/6ysPrW6dkQGyUmNHahOIkENloiISAQtzini/rmhU6vuvtTqJKVWDY4aLBERkQg4UFrOnz/dxL9Xbg86lgBcNrgr149UatVQqcESEREJsyU53rlW2/eGTq3uHp/FyV1aO1CZRIsaLBERkTA5UFrO059t4s0VSq3cTg2WiIhIGHyVW8R9c5VaiZcaLBERkeNQXFrBnz/bWG1qdengLtwwsodSK5dRgyUiIlJPS3N3c99cy7ZqUqu7xmUxsKtSKzdSgyUiInKMiksrePqzjbyh1EqqoQZLRETkGCzbvJt7565l256SoGPd2iRz93ij1ErUYImIiNRFcWkFz3y+idnfbAs6lgBcckoXbjxdqZV4qcESERGpRU2pVVdfajVIqZVUoQZLRESkGgfLKnjms03MUmolx0gNloiISAjLNu/mvrlr2RoiterSOpm7J2RxStc2DlQm8UANloiISBUHyyr4y+ebeP3r4NQK4JJBnbnxjJ40U2olNVCDJSIi4rN8ize12rI7dGp11/gsBndTaiW1U4MlIiKudzi1mvX1Njwhjiu1kmOlBktERFzt6y17uHeuDZladW6dzN1KraQe1GCJiIgrlZRV8Ncvsnlt+daQqdXEgZ256YyepDRRaiXHTg2WiIi4zje+1GpzNanVXeOyGNJdqZXUnxosERFxDaVWEi1qsERExBVWbN3DvXPXklt0MOhY51ZNuWu8UWolYaMGS0REGrSSsgqe/TKbfy0LnVpdfHInbh7VS6mVhFXEGixjzGnAw9ba0caYgcDTQAVwCLjCWrszUucWEREB2HqoCZe/ujxkatWpVVPuGp/F0O6pDlQmDV2jSLypMWYKMANI9u16CviVtXY08G/g1kicV0REBLyp1RPzNzBzZ3rI5urikzvxrysHq7mSiIlUgrUBuAh41bf9U2vt9irnDL5tQ0REJAxWbtvLvXMsOUUH8T6S+ahOrZpy57gsTs1QYyWRFZEGy1r7pjGmR5Xt7QDGmBHATcCoSJxXRETcq6Ssgr8vyOGfy7ZQGWKy1UUndeLmM3vSvImmH0vkJXg8oab8HT9fg/WatXaYb/sS4A7gR9bajaE+ZtasNz35+XkRqeewoqICUlPbRfQcsczN43fz2MHd49fYG/7Ytx1qwnsFbSksTwo61qpxORPaFdIj+ZADlTnHLZ/76kRj/JMnX59Q3bGotPHGmJ8B1wGjrbWF1b3urLPGRbyW2bNnMnHi5RE/T6xy8/jdPHZw9/g19oY79tpSq5Nb7OfJq8bRoqn7UquG/rmvjdPjj/hXnDGmMfBnIBf4tzEG4FNr7dRIn1tERBqub7ft5d65luzC4EnsHVo25a5xWeR+9Z4rmytxXsS+6qy12cAw32bbSJ1HRETc5VB5JdMXZPOPpaFTqx+d2JFfn9mLFk0Tyf0q+vWJgBYaFRGROLJ6+16mzVnLpsLioGMdWjblznGZDOuh3+nFeWqwREQk5nlTqxz+sXRzramVSCzQV6KIiMS0mlKr9BZNuHN8FsOVWkmMUYMlIiIxqbS8kukLc3j1q9Cp1Q8HdOQ3o5VaSWzSV6WIiMSc1Tv2MW2OZVNB6NTqjnFZjOip1EpilxosERGJGaXllTznS60qQqRWPxjQgd+O7q3USmKevkJFRCQmfOdLrTZWk1rdPi6LkUqtJE6owRIREUeVllcyY1EOrywJnVpd2N+bWrVM1o8siR/6ahUREcd8v9ObWm3ID06t0lo04Y6xWYzspdRK4o8aLBERibrS8kqeX5TDy9WkVhf078DvlFpJHNNXroiIRNWanfu4R6mVNHBqsEREJCrKKiqZsSiXlxfnhkytzu/fgd+N7kWr5KToFycSZmqwREQk4tbs3Me0OWtZn38g6Fj75k24Y1wmp/dq50BlIpGhBktERCKmrKKS5xfl8lJ1qVW/dH53Vm+lVtLgqMESEZGIsDv3M22uZV1e6NTqtrGZjOqt1EoaJjVYIiISVmUVlbywKJcXl2ymIsRDBM/rl87vlVpJA6cGS0REwsbu2s+0OaFTq3bNm3C7UitxCTVYIiJy3MoqKnlxcS4vLA6dWp17gje1at1MqZW4gxosERE5Lmt37eeeGlKr28ZkcmYfpVbiLmqwRESkXsorKnlx8WaeX5wbMrWacEI6tyi1EpdSgyUiIsdsXd5+ps1Zi921P+hY25Qkbh+byZl92jtQmUhsUIMlIiJ1Vl5RyUtLNvP8olzKQ6RW4/umccvZfWij1EpcTg2WiIjUSW2p1W1jMhmdqdRKBNRgiYhILZRaiRw7NVgiIlKt9XkHmDbHsqaa1Or/xmRyllIrkSBqsEREJEh5pYdXlmzmuYU5IVOrcSaNP5zdhzYpSq1EQlGDJSIiftbnH+DeOZbvdwanVqnNkvi/sZmcrdRKpEZqsEREBKg9tRpr0pii1EqkTtRgiYgIG/K9c62qS61uHdOHc7LSHKhMJD6pwRIRcbHySg+vfuVNrcoqglOrMVlpTDmnN6kpTRyoTiR+qcESEXGpjQUHmDZnLd/t2Bd0rE2zJP5PqZVIvanBEhFxmfJKD//4ajPTq02t2jPlnD5KrUSOgxosEREXqS21mnJOH8YapVYix6vaBssYsxAI/NUmAfBYa0dEtCoREQmr8koPM5du4e8LskOmVmdntufWMX1oq9RKJCxqSrB+GrUqREQkYjYVFDNtjmV1iNSqdXIit47JVGolEmbVNljW2hwAY0wX4GEgDXgDWAnk1PbGxpjTgIettaOr7HvC+9b2b8dXtoiI1Kai0sPivS158tVllCq1EomquszBmg48BtwFfAa8DAyr6QOMMVOAnwMHfNtpwCtAFvDIcdQrIiJ1UFJWwa/e/JZvdrchcLZH6+TEI3OtEhISnClQpIFrVIfXJFtr5+Gde2WBkjp8zAbgoirbLYB7gFePuUIRETlmz36ZzTdb9wbtH92nHa9fNYRxfdPVXIlEUILHExwbV2WMeQ94CrgduBW4x1o7obY3Nsb0AF6z1g6rsu8eYEd1lwhnzXrTk5+fV+fi66OoqIDU1HYRPUcsc/P43Tx2cPf43Tb2cg/8dWtnSiobH9mX3KiCsalF9E05iJv6Krd97qty89ghOuOfPPn6av811eUS4bXAo0B74BbghjDVFeSss8ZF6q2PmD17JhMnXh7x88QqN4/fzWMHd4/fbWP/eG0eJZu/P7LdOjmR164aRvvm7ptr5bbPfVVuHjs4P/5aGyxr7RZjzAN450+tstZuinxZIiJSX++s3um3Pb5vuiubKxEn1ToHyxhzJ/BXYCTwvDHmNxGvSkRE6iX/QCkLNxX67btgQAeHqhFxr7pcIjwPON1aW2mMSQS+AJ6s7YOstdkE3G1orb2nHjWKiEgdzfl+F1VXZGifVErf9BbOFSTiUnW5i3AXkOL7cxMgsrPQRUSkXjweD++s3uG3b0DzYt0tKOKAujwqJx1YZ4xZAfQDCqJUm4iIHIM1u/azIb/4yHbjBOjX/ICDFYm4lx6VIyLSQLwbMLl9eM+2tCjf7FA1Iu5Wl0fl9AEmAkl4H/bcGbguKtWJiEidlJZXMuf7XX77LujfgcIVDhUk4nJ1mYP1iu//pwM9AfeuWiYiEqO+2FTInpLyI9utkhM5o5e+XYs4pS4NVrG19kFgi7X2KkD3+4qIxJh3VvlPbh/fN50miXX5Fi8ikVCXf30JxpiOQAtjTHOgbYRrEhGRY1BwoJQFAWtfnd9fvwuLOKkuDdY04EfAP4BNwPsRrUhERI7J3DX+a1/1bJdCvw5a+0rESXV5VM5nwGe+zXRjzBmRLUlEROrK4/Hw9ir/uwcv7N9Ba1+JOKw+F+gfC3sVIiJSL2t3HWB9/tG1rholwLknpDtYkYhA/Ros/VokIhIj3g5YuX14j7a0b9HUoWpE5LD6NFie2l8iIiKRVlYRvPaVJreLxIa6PCqnqgSgb0QrEhGROvlyo//aVy2bJjKqt9a+EokFelSOiEiceifg0Tjj+qbRVGtficSEWh+VIyIisaewuJQvAta+ulCXB0Vihn7VERGJQ3O+30VF5dFZHD3bptCvY0sHKxKRqtRgiYjEocDLg+dr7SuRmFLrQqPGmFFACt5m7GngLmvtPyNdmIiIhGZ37Wddnta+EolldUmw/gSsA24GRgLXR7QiERGp0bsB6dVpGamkt9TaVyKxpC4N1kFgJ1Burd0B6F+xiIhDyioqeT9g7asLNLldJObUpcHaB3wEzDLG3AjkRrYkERGpzoJNhew+WHZku0XTxpzZp72DFYlIKLXOwQImAr2ttd8ZYwYAz0W4JhERqUbg5PbxfdO19pVIDKppJfdrrLUzgHsAjzGm6uHbI1yXiIgEKCou5fON/mtfnd9PlwdFYlFNCdZm3//XBOzXswhFRBwwd02e39pXGanNGNBJa1+JxKKaVnKf6/tjM2vt3wCMMUnAg9EoTERE/AVeHrxAa1+JxKy6XLgfZoyZaYwZCHwO7I1wTSIiEmDtrv3YXfuPbDdKgPN0eVAkZtXaYFlrrwJKgWXADGvtvZEuSkRE/L37nX96darWvhKJabU2WMaYmUBrYARwtTFGE9xFRKKovKKSOYFrXym9EolpdblE+KW19iJr7WJgFNAuwjWJiEgVC7KLKCw+uvZV8yaNObOPvhWLxLK6XCL8K4AxpiXex+ScG+miRETkqMDJ7eP6ppGc1NihakSkLurysOd+wE3AT4A3gSsjXZSIiHjtLi7j8w0Ffvsu6N/RoWpEpK5qWmj0YuBGoAnwImCstddFqzAREYG5a3ZRXmXtq+6pzThRa1+JxLyaLhG+AiwEfmitfR44FJ2SRETksMC7B7X2lUh8qKnB6gMcAD43xrwO6GmiIiJRtD7vAN/vPLr2VQJw7gnpzhUkInVW00ru24EHgAeMMecAk4wxm4A3rbW31PbGxpjTgIettaONMX2Al/A+ZmcVcKO1tjIcAxARaagCJ7efmtGGjq2SHapGRI5FnR7Bbq392Fr7U2AosLW21xtjpgAzgMPfCR4H7rTWnoH3l7Af1q9cETlWX+UW8fRnm8g+qEUp40l5RSXvfx94eVCT20XiRa13EVZlrc0HnqjDSzcAFwGv+rYHA5/6/vw+MA74z7GcW0SOze6DZTw6bz1z1+T59qQxYlMhI3u2dbQuqZuFIda+Gq21r0TiRoLH4wl5wBhzorX22/q+sTGmB/CatXaYMWabtbazb//ZwC+ttT8L/JhZs9705OfnBe4Oq6KiAlJT3ftNys3jd9PY1xY344PCVIor/ddKSksq5aqOO3HbHOl4/Nz/N68daw+mHNk+qfl+JrQrOub3icexh5Obx+/msUN0xj958vXVfjetKcGabYz5m7X2yTDUUHW+VUtgd6gXnXXWuDCcqmazZ89k4sTLI36juI5WAAAgAElEQVSeWOXm8bth7EdSq9zQv6jklTWh/cBxnJ2VFuXKnBVvn/vdB8t44u+L8E5b9br5wpGc3KX1Mb9XvI093Nw8fjePHZwff01zsAYDxhgz1xhzvBf+vzbGjPb9+Vzg8+N8PxEJ8On6fC55aWmVS4KhPbcwl8pqkmuJDR+syaOs4ujnqFubZE7q3MrBikTkWNV0F+EB4AZjzCjgS2PM4irHLjvG8/weeM4Y0wT4HnijPsWKSLA9B8t49JMNQQ8DBmjcKIGLT+rE7G+2HclC1ucfYP66fNelWPHkndU7/LYv6N9Ra1+JxJkaJ7kbY/oCDwLz8S48WmfW2mxgmO/Pa4Ez61WhiFTr0/UFPPjROgoOlAYdy0xrztTxBtOhBXtKyvySrRmLchmd2Z5G+qEdc9bnB699dV4/rX0lEm9qelTOrXgf7nyTtfbd6JUkIrXZc7CMxz7ZwPvVpFa/OLUbvxzWnaTG3lkAVw/LYO6aXXh/XMO6vAPMX1/A2ZlaPzjWvBuw9tWQ7lr7SiQe1ZRgDQGGWGsLaniNiETZZxsKeODD0KlVn/bNuWeCN7Wqqme7FPqmFLOmuPmRfTMW5jC6TzulWDGkvNIT1DRf0L+DQ9WIyPGoaQ7WxGgWIiI121viTa3e+y5EapUAV53WnaurpFaBRrTeiy1ufmQullKs2LM4u8ivcW7epDFn6fMjEpfqtJK7iDjr8w0FXPLSspDNVZ/2zXnp8kFcP7JHtc0VQPukcsYa/4ntMxbm6I7CGBI4uX1MVhrNkhpX82oRiWXHtJK7iETX3pIyHv9kA+9Wk1pdeVp3rqkhtQp09fDufGjz/FKsT9cXKCWJAXsOlvHpBv8ZGbo8KBK/lGCJxKgvNhbw05eXhWyuerdP4cXLB3FDLalVoF7tmjMmIMV6TilWTPjA+q991bVNMid30dpXIvFKCZZIjNlXUs5j8zcE3U0GvtTq1G5cPSyDJon1+/3o6mHd+UgpVswJ/Hyf36+D1r4SiWNKsERiyJcbC7nk5aUhm6te7VJ44bJB3HB6z3o3VwC92zfnnKzguVjVPZdUIm9jwQFW79jnt+98XR4UiWtKsERiwL6Sch6fv4F3qkmtrji1G9ccR2oV6Orh3fl47dEUa60vxRqtFMsRoda+6qS1r0TimhIsEYd9uamQn768NGRz1dOXWk0+ztQqUJ8QKdZzSrEcUV7pCbo79EKlVyJxTwmWiEP2lZTzxPwNvB2isWqUAFcM7cak4eFLrQKFSrE+21DAmX2UYkXT4pwi8qusfZWSpLWvRBoCJVgiDljgS61CNVeHU6sbzwhvahXIm2L5/yCfvkApVrQFXh48J6u91r4SaQCUYIlE0f5D3tTqrVWhU6uf+1KrphFsrKq6engGH63NP7KtFCu69paU8en6fL99FwzQ5UGRhkAJlkiULMwu5JKXloZsrnq2TeGFSwdy0xk9o9ZcgTfFGhOQYj23MFcpVpR8aPMorbL2VZfWyQzs0trBikQkXJRgiUTY/kPlPDl/I/9btSPoWKME+NmQblw7InqpVaDAFMvu2s9nGwo5s087R+pxk8AbG87v30EP3xZpIJRgiUTQIl9qFaq56tG2Gc9fOpBfjYpuahUo1Fws3VEYedkFxazaHrD2VT9dHhRpKJRgiUTA/kPlPPnpRv73bXWpVVeuHdHD0caqqmuGZfCxUqyoeuc7//RqcLfWdG6tta9EGgo1WCJhtii7kPs/WMfOfYeCjvVo24y7xxtO7Bxbz5jrk+ZNsao2Wc8tzGFU77Z6XEsEVFR6eC+gwdKDnUUaFjVYImGy/1A5T326kf9Wk1pdPrgr147IIDlGb8EPlWJ9vrGQUb2VYoXbktwi8vYfXfuqWVIjzs5Mq+EjRCTeqMESCYPF2UXc/8FadoRIrbqnNmPqBMNJMZZaBeqT1pyzM9szb12VFGtBDmf0UooVbu+sClz7Ko2UJrHZeItI/ajBEjkOB0q9qdV/VganVgnA5UO6cl0Mp1aBrhne3a/BWqMUK+z2lZQzP3DtK10eFGlw1GCJ1NPinCLunxvfqVWgzLQWSrEi7MO1/mtfdW7VlEFdtfaVSEOjBkvkGB0oLefpzzbx5ortQccSgMsGd+X6kfGTWgUKlWJ9sbGQM5RihUXg5UGtfSXSMKnBEjkGS3K8c6227w2dWt09PouT43wl7sy0FpyV2Z5P1vnfUXi6Uqzjll1YzLfb9/rtO09rX4k0SGqwROqgttTq0sFduGFkj7hNrQJdM6y7X4P1/U6lWOEQ+GDnU7q2pmubZg5VIyKRpAZLpBZf5XrnWm1rwKlVoKx0pVjhprWvRNxFDZZINYpLK3j6s4284ZLUKlCoFOvLTYWc3kspVn0szd3NriprXyUnNuLsgEcUiUjDoQZLJISlubu5b64NmVp1a5PM3eMNAxv4nV9Z6S0Y3acd89cXHNk3fUEOI3sqxaqPt1f7L+VxTlZ7mjfRt2CRhkr/ukWqqC21uuSULtx4esNNrQJdMzzDr8FSilU/+w+V+/09AlzQv6ND1YhINKjBEvFZtnk3985dy7Y9JUHHuvpSK7etV2SUYoXFhzaPQ+WVR7Y7tWrKKd3c9bUk4jZqsMT1DpZV8Mxnm5j1zbagY25MrQKFSrEWbCpiZK+2DlYVX94JuHvw/H5a+0qkoVODJa62bPNu7pu7lq0hUqsurZO5e0IWp3Rt40BlsSNkirUwhxE9U5Vi1UFu0UFWbvNf++p83T0o0uCpwRJXqim1ArhkUGduPKMnzVyaWgW6Zph/ivXdjn1Ksero3YDJ7YO6tNLaVyIuoAZLXGf5lt3cO6f61Oqu8VkM7ubu1CqQ6RCcYj2nFKtWFZWeoMuDmtwu4g5Ra7CMMU2BF4FewF7gRmvtumidX6S0MoFH563n9a+VWtVHYIq1esc+FmQXMbKnUqzqLN0cvPbVOUZrX4m4QaMonmsSsN9aOwz4FfBMFM8tLvf1lj28tKNDyOaqc+tk/vaTk7jl7D5qrmpgOrTgzIBH5Ty3IAePx+NQRbEvML06W2tfibhGNBusfsD7ANZaC5wQxXOLS5WUVfDYJxu47vUV7C5PCjo+cWBn/nXFYF0SrKNJwzP8tg+nWBJs/6Fyv5XwwXv3oIi4QzQbrG+AC4wxCcaYYUAXY4ziAomYr7fs4dJXlvHa8q0EZiydWyfz7MSTmHJOH1Ka6MuwrkKlWDMWKsUK5eO1/mtfdWjZlCHd1ciLuEVCtL4xGmMSgUeAQcCXwFhr7alVXzNr1pue/Py8iNZRVFRAaqp7V6F2w/jLKhP4bE9rlu1rgXclK3+DWuzjzDZ7aNLIXU1BuD73O0qTeGWH/0TtH6fl0atZ8E0DscKJr/t/7kxny6GmR7aHt9rDGW321vARkeGGf/M1cfP43Tx2iM74J0++vtq7fKI5GWAo8IW19rfGmCFA78AXnHXWuIgXMXv2TCZOvDzi54lVDX38K7bu4d65a8nddzDoWOvG5Tx40SCGdk91oDLnhfNzn/3f1Xy24eiE9zWJvZjy44Exe0dhtL/uNxcd5E8vfOW37w8/HkO31Ogvz9DQ/83Xxs3jd/PYwfnxR7PBWgfcZ4y5BdgNXB3Fc0sDV1JWwbNfZvOvZcGXAwEuPrkT3Qq+cm1zFW6Thnf3a7BWbd/HwuwiRuiOQgDe+c5/cvvALq0caa5ExDlRa7CstfnAmGidT9zjSGpVFJxadWrVlLvGZzG0eyqzZy9xoLqGqW+Hlozq3c6vyZqxMIfhPbQuVqXHw3shHo0jIu6i+4UlbtUltfrVqJ66LT5CrglIsb7dvo9FOUUM7+HuFGvZ5t3s2HfoyHbTxEaMMWkOViQiTtBPHolLtaVWd47L4tQMXQ6MpBM6tOSMXm35fGPhkX3PLchhWIa7U6zAta/OymxPi6b6ViviNvpXL3GlpKyCv32Zwz+XbQmZWl10UiduPlOpVbRMGpHh12C5PcXaf6icj9f6r311gR7sLOJK+ikkcWPltr3cO8eSEyK16tiyKXeOz+I0pVZRFTrFynVtijVvbX7w2ldaxFbEldRgScwrKavg7wu8qVVliNhKqZWzglOsvSzOKWKYC1Osd1bv8Ns+r186jRu5r9EUETVYEuO+3baXadWkVh1aNuWucVmc1kOplZNO6NCS03u15YsqTdb0Bbmc5rIUa8vug3y91X8hUd09KOJearAkJh0qr+TvX2Yzs5rU6kcnduTXZ/bS5OEYMWl4hl+D5cYU692Aye0ndW5FRtsUh6oREafpp5PEnFXbvalVdmHo1OrOcZmu+sEdD/p1DE6xnlvonhSr0uPh3YDFRTW5XcTd1GBJzDhUXsn0Bdn8Y6lSq3gUmGKt3LaXJTm7XXEJd/nmPWzf67/21VitfSXiavpJJTFh9fa9TJuzlk2FxUHH0ls04c7xWa699T9ehEqxpi/M4dSMNg0+xQqc3D66Tzv9IiDicvoOII7yplY5/GPp5pCp1Q8HdOQ3o5VaxYtrXJhiFZdWMG+d1r4SEX/6qSWOWb1jH9PmWDYVhE6t7hiXpYcHx5n+IediNewU6+O1eRwsO7r2VXqLJnqouIiowZLoKy2vZPrCHF79SqlVQxSYYq3Ytpclubsb7CKwgY/GOa9fB619JSJqsCS6akutbh+XxUilVnGtf8eWjOzZli83+T+j8NTuDS/F2rL7IMu37PHbd74uD4oIarAkSkrLK3nOl1pVhEitLuzfgd+O7k3LZH1JNgSThnf3a7BWbNvLV7m7G9wDuN8LWJrhxE6t6KG1r0QENVgSBd/5UquN1aVWY7MY2UupVUPSv1MrRvRMZcGmoiP7nluYw9AGlGJ5177a5bfvgv7pDlUjIrFGDZZETGl5JTMW5fDKEqVWbjRpeIZfg/XN1oaVYn29ZQ/b9pQc2W7SOIGxRg2WiHjpJ5tExPc7vanVhvzg1CqtRRPuUGrV4A1o4ClW4OT20X3a65cFETlC3w0krErLK3l+cS4vL84NmVqd378Dvxvdi1bJSdEvTqIuVIq1dPPuuF/GoLi0go/X5vntu2CAJreLyFFqsCRs1uzcxz01pFa3j83k9F7tHKhMnDKgUyuG90hlYXaVFGtBDkO6xXeKNW+d/9pXaS2acGqcN40iEl5qsOS4lVVUMmORUisJbdLwDL8G6+sGkGK9G3B58NwTtPaViPhTgyXHZc3OfUybs5b1+QeCjrVv7k2tzuit1MrNTuzcsFKsbXtKWLrZf+0rPRpHRAKpwZJ6Kauo5IVFuby4ZDMVIZZjP69fOr8/q7dSKwFCp1jLNu9hSPc2DlZVP+8GrH01oFNLerbT2lci4k8Nlhwzu2s/0+ZY1uUFp1btfKnVKKVWUsWJnVsxrEcqi6o0WdMX5jC4W+u4SrEqPZ6guweVXolIKGqwpM7KKip5cXEuLyyuPrX63ejetG6m1EqCTRqe4ddgfb1lT9ylWN9sDbX2VZqDFYlIrFKDJXVSW2p125hMzuyj1Eqqd1I1KVY8NViBk9tH9W6vy+AiEpIaLKlReUUlLy7ezPOLc0OmVuee4J1rpdRK6iJ0irWbwd1iv8k6WFbBRzbfb5/WvhKR6jRyugCJXWt37efKmV8zfWFOUHPVrnkTHv1hf+49r6+aK6mzkzq3YljAo3KmL8hxqJpj88m6fIrLKo5st2/ehNMayGN/RCT8lGBJkPKKSl5cspnnF4VOrSackM4tSq2knq4Z3p1FOUdTrOVxkmK9HXB58Lx+6SRq7SsRqYYSLPGzLm8/V/3zG6YvCE6t2qYk8cgP+nGfUis5Did3aR13Kdb2vSUszd3tt+983T0oIjVQgiWAN7V6yZdalYdIrcb3TeOWs/vQRo2VhEG8pVjvBax91a9jS3q1a+5QNSISD9RgCevzDjBtjmXNrv1Bx9qmJHHbmExGZ7Z3oDJpqE7u0prTMtqwOOdoKvTcwpyYbLA8WvtKROpBDZaLlVdU8vJXm5mxUKmVRN+k4Rl+DdayzbGZYq3Yupctu4+ufZXUOIFxWvtKRGqhBsul1ucfYNr71adWt47J5GylVhJB8ZJiBaZXZ/ZupzmIIlIrNVguU+mBFxbl8tzCnJCp1TiTxh/O7kObFP0AkciL9RSrpKyCj9bm+e27oH9Hh6oRkXgStQbLGJMEvAz0ACqASdbaNdE6v3hTq1d3dmDn5uygY6nNkvi/sUqtJLpO7tKaU7u3YUmVO/RmxFCK9cn6fA6UHl37ql3zJpzWQ2tfiUjtorlMw3lAorV2BHAv8McontvVyis9vLg4lyv+sZydpU2Cjo81acy6aoiaK3HEpOEZfttLfSlWLHhnlf/lwXNP0NpXIlI30bxEuBZINMY0AloBZVE8t2ttyPfeIfj9zuC5VqnNkrh1TB/OydKEXXHOwK6xmWLt2FvCV1r7SkTqKcHjCZ6HEwnGmG7A/4AWQHvgAmvtgqqvmTXrTU9+fl6oDw+boqICUlMb/kOJKz2wZG9LvtzTmgqCf+M2KcWMTS0ipXGlA9U5wy2f++rE8vi3lDThn7v8m5dL03fRLflQWN6/PmNfuKcln+852uR1bFLKFR131vARsSmWP+/R4Obxu3nsEJ3xT558fbWRdjQbrMeBQ9ba23zN1jzgRGvtkfuf8/L2RbyY2bNnMnHi5ZE+jaM2Fhxg2py1fLdjX9CxZo0quPu8AYxx4W3mbvjc1yTWxz959kq/xGhI9zY8O/GksLz3sY7d4/Hw4xeXklt08Mi+P5zdh58M6hyWeqIp1j/vkebm8bt57BCd8aeltay2wYrmHKwiYI/vz4VAEtA4iudv8MorPby0OJefvbo8ZHM1Jqs9V3fa4crmSmJf0Fys3N18vWVPNa+OrJXb9vo1V4mNEhjXV/9uRKTuotlgPQGcYoz5HG96dbu19kAUz9+gbSw4wDX/+oa/fJFNWYV/ENimWRIPXHACD17Yz1WXBCW+DOramqHd/eddPbfQmWcUBq59Nap3Oy24KyLHJGqT3K21+4GfROt8blFe6WHm0i1MX5BNaUXwFdazM9tz65g+tE0JvntQJNZMGp7hd5nwK1+KNahr66jVUFJWwYc2cO0rTW4XkWMTzQRLwmxTQTGTXvuGZz7fFNRctU5O5I/n9+WhC09QcyVxY1DX1gxxOMWav77Ab+2rtilJDNfaVyJyjLSSexyq8KVWf1dqJQ3QpOHdWRqQYn2zZQ8Do5RivbN6h9/2uSd0ILGxfhcVkWOj7xpxJrugmGte+4anlVpJA3VK1zaOpVg79x1iSY7/2le6PCgi9aEEK05UVHr457It/O3L0KnV6D7t+L8xmbRrrsZK4l9girUkSinWe9/tpOq/rr7pLeiT1jyi5xSRhkkJVhzI9s21+vNnoVOr+8/ry59+0E/NlTQYp3Rtw5Bu/s1UpFMsj8cTdPeg0isRqS8lWDGsLqnVrWMyaa/GShqga4ZnsHTzyiPbS3J3s2LrHk7uEpkU69vt+4LWvhrfNz0i5xKRhk8JVozKLixm0msrqk2t7vOlVmqupKEa3C26KVbg5PYzerejTYrWvhKR+lGCFWMqKj38a/lW/vZlNofKgxcFPbN3O/5vrFIrcYfAFGtxTmRSLK19JSLhpgQrhuQUFnPt6yt46tONQc1Vq+RE7j3P8MgPlVqJewzu1obBUUixPttQwP5DR9e+Sm2WxAitfSUix0EJVgyoqPTw+tdb+esXoVOrUb3bcduYPrRv0dSB6kScNWl4BssinGK9HTC5/dx+6Vr7SkSOi76DOCynsJjrXl/BE/NDp1bTzjU8+sN+aq7EtUKlWDMW5obt/XftO8SSnCK/fbo8KCLHSwmWQ2pLrc7o1Zbbx2aqsRIhOMValFMUthTrve92UlnlPhKT3oLMtBbH/b4i4m5KsBywuegg188KnVq1bOpNrR77UX81VyI+g7u14ZSu4U+xtPaViESKGqwoqvR47xC89JVlfLN1b9Dx03u15fWrBnNevw4kJCQ4UKFI7Lp2RIbf9qKcIlZuC/53dCxW79hHTpW1rxo3SmB837Tjek8REVCDFTWbiw5y/esrePyTDSFTq3smGB7/UX/SlFqJhBQqxTreOwoD06szerUlVc/xFJEwUIMVYVVTq6+rSa1eu3Iw5/dXaiVSm0nDA1Ks7PqnWIfKK5m7ZpffPl0eFJFwUYMVQVt2H+T6WStDplYtmjZm6oQsHv9Rf9JbKrUSqYvB3VozKEwp1qfr84PWvhrZs+1x1ScicpgarAio9Hh4fflWLn15GV9v2RN0fGTPtrx+5RAu6N9RqZXIMUhISODaECnWt/VIsQIvD044QWtfiUj46LtJmG3ZfZAbZq3k0U82UBIitbp7fBZP/D+lViL1FY4UK2//IRYHrH11vi4PikgYqcEKk6qp1fIQqdWInqm8duUQLhyg1ErkeCQkJDBpeHe/fQuPMcV6/7tdfmtfZaY1x6Rr7SsRCR81WGFQU2rVvElj7hqfxZP/bwAdlFqJhMWQbm0Y1KWV3766plha+0pEokEN1nGo9HiY9fU2LnsldGo1vEcqr181hB8otRIJq4SEBCYFrIu1MLuIVdtrT7G+27GPTYXFR7YbN0pgwgnpYa9RRNxNDVY9bd1zkMmzV/LIvPUcLAuRWo3L4qmLlFqJRMqQbm0YWI8UK/DBzqf3bEtbrX0lImGmBusYVXo8zP5mG5e+vIxlm4NTq2E9UnntysH84ESlViKR5J2L5Z9iLdhUc4p1qLySD22e3z5NbheRSFCDdQy27jnIjbNX8qePQ6dWd4zN5M8XDaBjq2SHKhRxl6Hdjy3F+nxDAXtLyo9st05O5PReWvtKRMJPDVYdVHo8vOFLrZaGSq0yvKnVj07qpNRKJIqqS7FWV5NihVr7KklrX4lIBOg7Sy227Snhxje+5eGaUquLlVqJOGVo9zac3DkwxcoNel3+/kMszC7023dh/44RrU1E3EsNVjU8Hg9vrvClVrm7g46fltFGqZVIDAh1R+GXmwqDUqz3vw9e+yorvXk0ShQRF1KDFcL2vd7U6qGP1lNcVuF3LCWpMbeNzeTpi09UaiUSI06tJcXyeIIvD57fTw9YF5HIUYNVhcfj4d8rtvHTl5bxVYjU6tTubXjtqsFcpNRKJKZUm2Lt2AfAjtIkNhZUWfsqAa19JSIRpQbLZ/veEm5641serC61GtOHZ358Ip2UWonEpFO7t+GkgBRrhu+OwlUH/C8FjujZlnbNtfaViESO6xssj8fDv1du59KXl7EkRGo19HBqdXJnpVYiMSwhIYFrA+4o/GJjId9s2cP3xSl++y8YoMntIhJZiU4X4KQde0u4/4O1LM4JbqxSkhpz85k9dTlQJI6cmuFNsVZWefDzrW9/R0ll4yPbrZMTOUNrX4lIhLkywfJ4PPxn5XZ++vKykM3VkO5t+NeVg7lYqZVIXAmVYhUWl/ltj++rta9EJPKilmAZY64CrvJtJgMDgY7W2uAOJ4L2ljfm5jdXsSinKOhYs6RG3DyqFxed3IlGaqxE4tKpGW04sVMrvq1msdELBujROCISeVFrsKy1LwEvARhj/gK8EO3m6q1VO3hhe0dKPcHN1ZBurblzfBZdWjeLZkkiEmYJCQlcO6I7v3pzVdCx3u1T6JvewoGqRMRtEjweT+2vCiNjzBDgUWvt6MBjeXn7IlbMx2vzWP/eo/wm8U1aJJRE6jQiIiISA0oTmlA6/FYODrouYudIS2tZ7eUuJya53w5MC3Xgk08+ID8/L9Sh4za3MJXpie+quRIREXGBJp5SyhY9yez1kUutJ0++vtpjUU2wjDFtgAXW2n6hjkcywfpiYwGr3/qTEiwREREXcFuCNQr4KMrnBOD0Xu1o+9M7+cP7w7l54rm0b9HUiTIcN3v2TCZOvNzpMhzh5rGDO8dfUlbB5xsL+WrR50z52Y9IdOHdg278vFfl5vG7eezgG/8g58Yf7e82BtgY5XMe0a9jS05sccC1zZWI2yQnNWasSSMz5aArmysRcU5UEyxr7SPRPJ+IiIiIE/QrnYiIiEiYqcESERERCTM1WCIiIiJhpgZLREREJMzUYImIiIiEmRosERERkTBTgyUiIiISZmqwRERERMJMDZaIiIhImKnBEhEREQmzBI/H43QNIiIiIg2KEiwRERGRMFODJSIiIhJmarBEREREwizR6QKizRhzGvCwtXa007VEizEmCXgB6AE0Be631r7laFFRZIxpDDwHGKAC+IW1doOzVUWXMSYdWAaMtdaucbqeaDLGfA3s8W1ustb+wsl6oskYcxvwA6AJ8Fdr7fMOlxQ1xpirgKt8m8nAQKCjtXa3UzVFi+97/st4v+dXAJPc8u/eGNMUeBHoBewFbrTWrnOiFlclWMaYKcAMvP/Y3ORnQIG19gzgXOAZh+uJtgsBrLUjgbuBx50tJ7p832z/Dhx0upZoM8YkA1hrR/v+c1NzNRoYAYwEzgS6OVpQlFlrXzr8ecf7y8XNbmiufM4DEq21I4B7gT86XE80TQL2W2uHAb/CwZ93rmqwgA3ARU4X4YDZwF1VtsudKsQJ1tr/Atf6NjOAnQ6W44RHgb8B25wuxAEnAynGmA+MMfOMMcOcLiiKxgPfAv8B3gbecbYcZxhjhgD9rbXTna4litYCicaYRkAroMzheqKpH/A+gLXWAic4VYirGixr7Zu46wsNAGvtfmvtPmNMS+AN4E6na4o2a225MeZl4Gm8fweu4LtMkmetnet0LQ4pxttgjgeuB2YaY9wyNaI9MASYyNGxJzhbkiNuB6Y5XUSU7cd7eXAN3ukRf3a0muj6BrjAGJPg+4Wqi2+aSNS5qsFyM2NMN+AT4FVr7T+drscJ1torgSzgOWNMc6friZJfAmONMfPxzkF5xRjT0dmSomot8A9rrcdauxYoADo5XFO0FABzrbWlvt/kS4A0h2uKKmNMG6CvtfYTp2uJst/i/dxn4U1xXz58ufSGQtgAAAPGSURBVNwFXsA79+oTvNNDlllrK5woxC2/ybmaMaYD8AFwk7X2Y6friTZjzM+BrtbaB/EmGpV4J342eNbaUYf/7GuyrrfW7nCuoqj7JXAiMNkY0xnv5ZLtzpYUNV8AvzbGPI63qWyOt+lyk1HAR04X4YAijl6tKQSSAEdSHAcMBb6w1v7Wd3m4t1OFqMFyh9uBVOAuY8zhuVjnWmvdMun538CLxpjP8H6j+Y21tsThmiQ6ngdeMsZ8AXiAX1prXTEH0Vr7jjFmFLAE79WKG536Td5BBtjodBEOeAJ4wRjzOd47SG+31h5wuKZoWQfcZ4y5BdgNXO1UIXpUjoiIiEiYaQ6WiIiISJipwRIREREJMzVYIiIiImGmBktEREQkzNRgiYiIiISZGiwRiTpjzFhjzApjTDPfdmdjzLfGmC4hXtvZGFNsjJlYy3tOMMZcW9NrfK/rYYxZVMc6I/JaEWn41GCJSNRZaz8E5gKP+R5G/TrwO2vt1hAv/wXwFHBjLe85x2XPmxORGKaFRkXEKXfgXW38f8BHvqbLj+/ZeT8HzgD+Z4wZYK1dZYy5ERhprb3M94zJxXhX6e8L3APMAloDzYAp1tr5tRVjjDkTmOrbTAGuAEqBNGPMW0A68K619j7fo6emA8l4H0FTa3ImIu6iBEtEHGGtLcP7INqxwIvVvOwc4FtrbR7eZ4zd6PvYvwApxpiXgCbW2r9W+ZjeQEe8zyG7DG+zVBf9gZ9Za88G3sL7kGSAFnibvJHAucaYk/E+QPrP1tqzfH9+qI7nEBGXUIMlIo4wxmQAfwCmAP+o5on3k4Cexpg5eJulS4wxrX3HHgKuBB6p+gHW2tXAX4B/AX+l7t/ntgJ/9jVtZ+F9rBLACmvtHt9jZpbgfWD4icDtvuc73o033RIROUINlohEnTGmCd7LeL+11j4B5HL08tzh17QHhgGnWWsn+JKlN4ErfR//JHAd8Kxv+/DHnQi0tNaej7cBe7qOZc0AfmGtvQrYBiT49p9gjGlhjEkETgNWA2uAW621o301vHGMfwUi0sBpDpaIOOExvE+8f8+3PRlYZoyZV2W+1BXAmwEPKH4OeAXoCbxjrZ1ujOmMN81a6XvNOmCqMebwHKq7Q5x/gDFmaZXt3wOvAouNMUXATqCz71gh3kn4acDr1trvfA+SfdYYk4x3ntev6/W3ICINlh72LCIiIhJmukQoIiIiEmZqsERERETCTA2WiIiISJipwRIREREJMzVYIiIiImGmBktEREQkzNRgiYiIiISZGiwRERGRMPv/gxEcsKK0X04AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot with Grid Lines\n",
"plt.figure(figsize=(10,6))\n",
"x= [1,2,3,4,5,6,7,8,9] \n",
"y= [7,8,9,10,7,11,12,13,14]\n",
"y2 = [7,7,7,7,7,7,7,7,7]\n",
"plt.plot(x , y, linewidth = 4 ,label = 'Line -1') # Changing line width\n",
"plt.plot(x , y2, linewidth = 3,label = 'Line - 2')\n",
"plt.xlabel('X Axis Label')\n",
"plt.ylabel('Y Axis Label')\n",
"plt.title ('Line Graph')\n",
"plt.legend()\n",
"plt.grid(b=True , linestyle = '-' , which = 'major' , color = 'grey') # Grid Lines\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Setting the background color\n",
"x = np.array([1,2,3,4,5,6])\n",
"y1 = np.power(x,2)\n",
"y2 = np.power(x,3)\n",
"plt.figure(figsize=(12,5)) # Setting the figure size\n",
"ax = plt.axes()\n",
"ax.set_facecolor(\"darkgrey\") # Setting the background color by using Hex code\n",
"plt.plot(x,y1,\"bo-\", x,y2, \"ro-\")\n",
"plt.xlabel(\"X - Axis\") \n",
"plt.ylabel(\"Y - Axis\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Display multiple plots in one figure (1 row & 2 columns)\n",
"plt.figure(figsize=(14,6))\n",
"x = np.linspace(0, 10, 100) \n",
"y1 = np.sin(x) # Sine Graph\n",
"y2 = np.cos(x) # cosine graph\n",
"plt.subplot(1,2,1)\n",
"plt.plot(x,y1)\n",
"plt.subplot(1,2,2)\n",
"plt.plot(x,y2)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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L2lb685fAB5ZlvWyaZh9gItC97JtWq+bB5UqtZHc6HeTl+ZMdRpVavhwuu8xBLAZz50bp1s0JZNe/QWVKZE4NGgTnnBPjkksc9Ovn55prYowbZ+PxJOTtJU1k43FKKpdyKjFmzTK46iqDQw6BF16I8Y9/uKjY6Vf6SvWcuv56uOCCGH37Orj4Yj///neM0aNtzdicwlI9p/ZVkf/5u4DqZX527FN0AfTht4XVq8DegZhLgdv2fdOionAFQqocqTh+tLIUF8Ntt3l49NEcGjWK8uijQY491tb6UQmW6JzKz4enn47/7SZOzGHVqihPPBHkiCPUo5otsuk4JVVDOVUxoRDcfLOHmTNzOPvsCI88EqJOnexuT9Mhp446Cp5/Hm680cu4cW4++CDC5MlBqlc/8L5S9VIxp/Lz958sFanh1wDtAEzTbAJ8WnajaZo1AI9lWT+WeXoa0K308XnABxX4fEmwbdsMunf38eijOQweXMyzzwY49liduKcLjwf+3/8L89RTQdavjw9ree89ddOJiFS17783aN/ez8yZOQwbFmbRIg0tTCc+Hzz4YIhx40K8/LKTCy/08803uu9LKq4iZ2VLgZBpmmuB+4FrTdO8zjTNjqXbjwe+32efm4Chpmm+DlwB/LMCny8J9MUX8QUcP/7YydSpQcaNC2uoWppq2zbCypUBcnOhSxc/8+Zl55AWEZFkePNNJxdckMuGDQ5mzgwwapRmnU1HhgGDB5ewaFGQX381aN06l5deSq1bYST9lHs6+cqi6eSr3osvOhkyxEe1ajZPPRXk9NNjyQ4p41VFTv36K1x2mY9Vq1wMHVrM6NFhnGozMlamH6ek6imnDt7MmW5uvNHDccfFmDEjyDHHpNwpTVKla079+KPBpZf6WLfOwciRxfzzn8Wa3TlFpGJOVdZ08pLmbBsefthN374+jjsuxosvBlR0ZZBatWDevCCDBhUzZUoOffr42LnzwPuJiMjBiUbjS69cf72Xc86J8txzARVdGaR+fZtnngnQpUuEceM8DB7spago2VFJOlLhlaXCYbjmGi+33ealQ4cIy5cHqFtXjUSmcbth/Pgw99wT4s03nbRtq3HqIiKJVFQEAwZ4mTo1h0GDipk1SxMxZCK/H6ZMCTFmTIjnnnPRoYOfLVvUnsrBUeGVhbZuNejSxc+CBW5GjAjz2GMh/OkzE6eUQ79+/zdO/cILc1m1SmMORUQqatMmgw4d/Lz4oovx40OMHx/W/VwZzDDgqqtKmDMnyPffO2jXzs+XX+pUWv48ZUuWWb/eoG1bP5995mDatCA33KBxytni7LOjvPBCgLp1YxQU+Fi6VGcHIiLl9fHH8UmpfvjBwZw5QQYNKkl2SFJFWrWK8vTTAUpK4KKL/Kxdq85M+XNUeGWRDz90cNFFfoJBWL48QMeO+y67Jpnu6KNtnn46QOPGUYYM8fHII+5khyQiknZWrHDRqZMfjweeey5Aq1bRZIckVezkk2OsXBng8MNj9OzpY9kydWbKganwyhKvvuqka1c/1avDs88GOPVUTaKRrfLyYMGCIO3bl3DLLV5uvdVDTOkgIvKnzJ7tZuBALyecED/xbthQB9BstXfSjdNPj3L55T4mT3aTYpOFS4pR4ZUFFixwccklPho0iPHsswEaNNBRIdt5vTBtWogBA4qZNCmHq6/2Ulyc7KhERFLbxIk5XHutl5YtoyxaFCA/X+1ptqtZM96Z2aFDCWPHehk1ykNUF0BlP1R4ZbjJk91cfbWPpk2jLF8eoE4dNRIS53TCnXeGGTkyzKJFbi65xKfpcUVE/oBtw9ixHm6/3UOXLiXMmBEkNzfZUUmq8HrhscdCDBlSzGOP5TB4sJdgMNlRSSpS4ZWhYrF4IzF2rJeOHeMz8Gh6W9mXYcC11xbzwANBVq1y0qWLn8JCzbYiIrJXJAL//KeXyZNzGDiwmClTQuTkJDsqSTUOB9x+e5jbbw+xYoWLPn3UmSm/p8IrA5WUxNfo2ttIPPJICI8n2VFJKuvdO8KMGUG++spB+/Z+fvxRxZeISDAIAwd6mTfPzb/+FWb8+DAOnTnJ/zBkSAkPPxzirbec9OzpZ+fOZEckqUSHjwwTDsPAgT4WLnQzcmS8kXBqllP5Ey64IH7Pwq+/GnTq5Oe771R8iUj22rULevXy8cIL8TW6/vUvLb8if06PHhGmTQvxyScOunTxs22bEkfiVHhlkGAQ+vePNxJ33hni2mvVSMjBOfPMGEuWBAgEoFMnP19/rUOEiGSfX34x6NLFz7vvOpkyJaQ1uuSgtW8fYebMIOvXO+jc2ceWLTohExVeGWPPHrjkEh+vvebk/vtDDByoRkLK55RTYixdGiQahU6dfHz+uQ4TIpI9CgsNunb18fXXDmbNCtK1q9a8lPJp1SrKvHlBNm1y0LGjnw0bVHxlO51RZYCiovhwiDVrnDz8cIg+fVR0ScU0bBhj+fIAbjd06eLnk090qBCRzPfzz/Gi6/vv40WXFkaWijr77CiLFwfYscOgY0c/69er+Mpmhl3Old5M03QAk4FGQBgYbFnW+jLbHwKaAbtLn+oEuIE5gA/YDAywLCtQ9n0LC3en3HzneXl+duwIHPiFSbBzJxQU+Pn4YwdTpoTo3Fk9c+kglXOqrO+/N+je3c+OHQZz5wY480wtFJqq0iWnJH1kW0799FO86Nq82cGcOUHOPltFV6JlW06VtW6dg549fQAsXBjkxBPVniZCKuZUfn71/VbXFenG7gx4LctqCtwE3LvP9tOBNpZltSz92gmMBuZYltUC+AgYUoHPz3rbt0P37n7+8x8H06ap6JLEO+YYm+XLAxx6qE3Pnn7eeksztYhI5tm82aBzZz9btjiYN09FlyTeSSfFePrp+EiSrl39rFunkSTZqCJXvO4D3rUsa17pz5ssyzqi9LED2AKsAeoA0y3Letw0zQ+BdpZl/WSaZiNgnGVZ7cu+bzBYbLtcqXVy53Q6iEZTq2eisBAuvNDBV1/B/Pkx2rVLdkRyMFIxp/6XLVvi+fb997BkSYzzzkt2RLKvdMspSX3ZklMbNkDr1g4KC+HZZ2M0bZrsiDJXtuTU//Ltt3DBBQ4CAXjhhRinnJLsiNJbKuaU2+3c7xUvVwXe9xCg7OoEUdM0XZZlRYBcYCJwH+AEXjNN8/199tkN1Nj3TYuKwhUIqXKk2mXMbdviwyF++AFmzIj3zO3Ykeyo5GCkWk4diM8HixcbdO/uo2vX+DCcZs3UI5xK0i2nJPVlQ05t2GDQtauf7dthwYIADRvG1J5WomzIqQOpVQsWLYpfYW3TxmDJkiANG6ZW4ZBOUjGn8vOr73dbRa5z7gLKvrOjtOgCCAAPWpYVsCxrN/Aq8XvByu5THdDh7SD9+it07+7jhx8czJ4d5NxzdfIrVaN2bZtFi4IcfXSMPn18vP12al2ZFhE5GD/8ED/53bnTYPHiAI0b6+RXqsaxx9osXRofdtitmw/L0rDDbFGRv/QaoB2AaZpNgE/LbDseWG2aptM0TTfQHPiw7D5AW2BVBT4/6+zcCT17+vnmGwdPPRWkeXMVXVK19hZfRxwRo1cvH++9p8ZCRNLPxo3xK1179sSLrlNPVdElVatBA5slSwI4HPx3+QLJfBX5Ky8FQqZprgXuB641TfM60zQ7Wpb1BTAbeBt4A5hhWdZnwB1AgWmaa4CmwMMVCz977N4dn73wiy8cPPFEkJYtVXRJchx2mM3ixUHq1LEpKPDz0UdqLEQkffz0k0G3bvErXQsXBjjlFBVdkhzHHWezdGkQgC5dfJpqPguUe3KNyqLp5H+vqAgKCnx8+KGT6dNDtG2r2QvTXbJzKhE2bzbo1Ck+1fzixTp5SbZMyClJLZmYU4WFBl26+Ni0ycHChQHOOEPHraqUiTmVCJbloEsXH04nLF8eoEGDlDsVTlmpmFOVNZ28VIFAAPr29fH++06mTlXRJamjXr34MInq1W169PDz2Wc6nIhI6tq+HXr29PHjj/F7pFV0SaowzRiLFweJRqFLFz/ffacrX5lKZ0opLBSC/v19rF3rZNKkEB07quiS1FK/frz48vlsunf38eWXOqSISOrZtSs+XP/rrx08+aTW6ZLU07BhjEWLgoTD8TVaN29W8ZWJdJaUosJhGDjQxxtvuHjwwRDduqnoktR0zDHx4svlis/O9O23aixEJHUUFUHv3j4+/dTB9OmaDVhS1wknxJg/P8j27QY9evgoLFR7mmlUeKWgSASGDvXy8ssu7rknREGBii5JbfHZmYLEYvGeuk2b1FiISPIFg9CvX3y4/iOPhGjTRkWXpLZGjWLMmRNk40YHF1/sY+fOA+8j6UOFV4qxbbjhBg/PPuvm9ttD9OtXkuyQRP6Uv/413lO3c2e8p27bNhVfIpI8xcXxkSNr1jiZODFEhw7qxJT00KRJlCeeCGJZDnr39rNnT7IjkkRR4ZVCbBvGjPEwZ04O118fZsgQFV2SXk45Jcbs2fGeuoICH7t2JTsiEclG0ShcdZWXV15xcc89YXr0UNEl6aVVqyhTp4b44AMH/fv7CIWSHZEkggqvFPLAAzlMnZrD4MHFjBhRnOxwRMplb0/d5587uOQSH4HUmuVVRDKcbcONN3pYvtzNmDEh+vZVJ6akpw4dIjzwQIg333QxZIiXiPoP0p4KrxQxfbqb8eM99OhRwh13hDE0SkvS2HnnRZk8OcQ77zgZNMhHsfoRRKSKjB+fw4wZOQwbFuaqq1R0SXorKIgwblyIlSvdDBvmJaZVENKaK9kBCCxa5GLkSC8XXljCAw+EcKgclgzQuXOE3bvDXH+9l6uv9jJlSginM9lRiUgmmzLFzQMPeOjbt5ibb1aPj2SGwYNL2L3bYPx4D9Wq2UyYoA76dKXCK8leeMHJNdd4adYswqOPhnC7kx2RSOL07VvCzp1w221eqle3ueceNRYiUjnmznUxZoyXjh1LuOsuHWskswwfXsyuXQaTJuVQu7atW1LSlAqvJFq71slll/k4+eQYM2cG8XqTHZFI4l19dQm7dhk88ICHmjVtRo1SYyEiibVihYtrr/Xyj39EmDRJV9cl8xgGjB4d5tdfDe65x0Pt2jYDB2oobbpR4ZUkn34an3jgqKNizJ0bpFq1ZEckUnlGjixm+3aDhx7ykJ9va8ZOEUmY1audXH65l9NOi/HEE0E8nmRHJFI5DAPuvTfEr78ajBzp4dBDbTp10owb6UR3EyXB998bFBT4qFHDZsGCIIceaic7JJFKZRhw551h2rcv4ZZbvCxZoj4fEam4jz920Levj2OPjTF7dkCdmJLxXC545JEgZ54Z5corvbz5pi7vppNynf2YpukAJgONgDAw2LKs9WW2XwsUlP64wrKsW03TNICNwNelz79lWdbIckeepgoLDS6+2E8kYrB0aYB69VR0SXZwOmHKlBAFBQbXXOOlZs0g554bTXZYIpKmvv3WoHdvH7VqxTsxa9VKdkQiVcPvh1mzgnTq5Kd/fx/LlgVo1EjTHaaD8l7x6gx4LctqCtwE3Lt3g2maDYA+wNlAU6C1aZqnAH8BPrQsq2XpV9YVXUVF0Lu3j59+Mpg1K8Dxx+s/iWQXrxdmzAhy/PExBgzw8dFHuuguIgfv558Nevb0Y9uwYEGAunXViSnZJS8P5s8PUquWTa9ePr79VrPJpIPynvU0B54HsCzrbeCMMtt+BC60LCtqWVYMcAMhoDFwhGmar5mmucI0TbMCcaed4mIYMMDHunUOHnssyJlnquiS7HTIITBvXpDatW1691ZjISIHZ28n5rZtBrNmBfnLX1R0SXY6/HCbBQsC2Db07Onn55/VnqY6w7YP/oBlmuY0YLFlWStLf94ANLAsK1LmNQZwN1DdsqwhpmmeA9SxLGuhaZrNgfstyzpz3/cOBottlyu1xqs6nQ6i0fIXSrEYXHqpwbx5Dh57LEb//moksl1FcyoTfP01tGzpoFo1eP31GHXrJjui9KackkRLxZwqLoZOnRy8/josWRKjbdtkRyQHIxVzKhO8/z5ccIGDBg3glVdi5OUlO6Kqk4o55XY791sBl/cO911A9TI/O/YpurzA48Bu4MrSp98HIgCWZa02TfMI0zQNy7J+U4UUFYVxZTLyAAAgAElEQVTLGVLlycvzs2NHoFz72jaMHu1h3rwcbr45TKdOxezYkeAAJe1UJKcyRX4+zJ7toHNnP+3awfLlAQ45JNlRpS/llCRaquVULAZXXunllVecPPRQkKZNI2pP00yq5VSmOO44eOIJJ336+Ojc2Wb+/OyZ3TMVcyo/v/p+t5V3qOEaoB2AaZpNgE/3bii90rUc+MSyrCGWZe29e34MMLz0NY2ADfsWXZlo0iQ3jzySw+DBxQwbpvWLRMo69dT49M+W5aBfPx/h1Ot3EZEUceutHpYscXPzzWEKCjSFtkhZLVtGeeihEGvXurj6ai+x1LoIJKXKe8VrKXCBaZprAQMYYJrmdcB6wAn8A/CYprl3EMBI4E5glmma7Ylf+bq0IoGngwULXNx2m5dOnUq4444whobeivzOuedGmTgxxNChPq6+2ssjj4RwaM4NESlj8mQ3U6bkMGiQOjFF9qdbtwhbtoS47TYvdeva3HabejNTTbkKr9JJM67Y5+kvyzz27mfX9uX5vHT0+utOhg/30rx5hIcf1omkyP+ixkJE9mfxYhdjx3rp0EGdmCIHctVVJWzZ4mDq1Bzq1o0xdGhJskOSMrSKaSX49FMHAwf6+OtfYzz5ZPaMsxWpiKuuKmHz5nhjccQRMYYMUWMhku3efNPJsGFezj47wqRJIZypNfeWSMoxDLjttjBbthiMGePl8MNtunTR0NxUocIrwTZujC/oeMghNnPnBjVZgMifZBhw++3xxmL0aA9169p07KjGQiRbrVvn4NJLfRx3XIynngri3d9YGhH5DacTJk8OsW2bwTXXeDnssCDNmkUPvKNUOg2AS6AdO6BXLx/BoMHcuUHq1cv4uUNEEmpvY3HmmVGuvNLLW2+pe1skG23aFO/ErF7dZs6cIDVqJDsikfTi9cKMGUGOPTZG//4+Pv9cp/ypQH+FBAmFoH9/H9995+Cpp4I0bKjpZETKw+eDmTODHH10jH79fFiWDlMi2WTnzngn5p498U7MI45QJ6ZIeeTlwdy5Qfx+m169fGzapBskk01nNAkQi8E113h56y0XEyeGdDlXpIJq1ow3Fh5PvLH46Sc1FiLZIByGSy/18c03Dp58MsgJJ6gTU6QijjwyfutLUZFBr14+du5MdkTZTYVXAowd62H5cjdjxoR0A6NIghx1VLyx2L7doKDAx+7dyY5IRCpTLAbDhnlZs8bFgw+GaNFCnZgiiXDiifHJ3r75Jn7fpNbMTB4VXhX06KNupk6NL5B85ZWahU0kkU4+Ocbjjwf56isHAwb4KNF/MZGMdccdOSxdGl8guXt3dWKKJFKLFlEeeCDEmjUuhg/3YmsEb1Ko8KqAZ55xccstHtq3L+H227W2iEhlOPfcKPfdF+LNN11cd50aC5FMNH26m4cf9tC/vxZIFqksPXpEGDkyzOLFbsaNy0l2OFlJ08mX07vvOrjqKi9nnBFj8mStLSJSmQoKImzcGOauuzzUrx9jxAidmIlkihUrXPz73x7atIkwfrw6MUUq0/DhxWzcaPDggx6OPNKmf38NJalKKrzK4ZtvDPr181Gvns2MGUF8vmRHJJL5rr8+3ljcc0+8+OrVS0ORRNLd++87uOIKL6eeGmPq1CAunZWIVCrDgAkTwmzZ4uDGGz3Uqxfjggt0P2VV0VDDg1RYaFBQ4MfhgLlzAxx6qMY9iVQFw4C77w7TsmWE66/38tpruswsks6++86gb18fderYzJoVJDc32RGJZAeXCx59NMhJJ8W47DIfH3+scqCq6F/6IAQC0K+fj61bDWbODHLssSq6RKqS2w3TpwcxzRgDB/r49FMdwkTS0S+/GPTq5ScWM5g3L0B+vtpTkapUrRrMnh3k0ENt+vTx8cMPGuNbFXTW8idFozB0qJcPP3QwZUqIxo21tohIMlSvDnPmBKlRI95YaEFIkfQSDMY7MTdtMpgxI8hf/qKiSyQZ6tSJL9tSUhJf42v79mRHlPnKPZraNE0HMBloBISBwZZlrS+z/TJgCBAB7rAs61nTNGsDcwAfsBkYYFlWoALxVwnbhltu8bBypZtx40K0a6d7S0SSqW7deGNx0UV+evf28fTTAWrUSHZUInIgsRhcdZWX9993MG1aiL//XfeWiCTT8cfHeOqpID16+OjXz8fChUG83mRHlbkqcsWrM+C1LKspcBNw794NpmkeDgwDmgFtgPGmaXqA0cAcy7JaAB8RL8xS3oMPGkyblsMVVxQzeLBmfxFJBQ0bxheEXL/ewcCBPoo10aFIyhs71sOzz7oZOzZMhw7qxBRJBU2bRpk4McQ777gYNsxLTIO6Kk1FCq/mwPMAlmW9DZxRZttZwBrLssKWZe0E1gOnlN0HWAmcX4HPrxJvvOFkxAgHF11UwtixWupbJJW0aBHl/vtDrFrl4tprtcaXSCp77DE3U6fmMHhwMVdcoU5MkVTSpUuEW24Js2yZmzvu0BpflaUiE7ceAuws83PUNE2XZVmRP9i2G6ixz/N7n/uNatU8uFypM1uZ3w+XXmrz4IMOfD5/ssORDOF0OsjLUz4lwuWXw7ZtMcaOdfPXvzoZOzY7qy/llCRaInNq+XIYNcpBhw42Eyc6cTqVq9lIx6nUNmoUbN0a4+GHPRx/vJsrrkj99jTdcqoihdcuoHqZnx2lRdcfbasO7CjzfLDMc79RVJRaV5XOPBMuuMDPjh0BwqkVmqSxvLx4TkliDB0KX3/tYdy4HPLzQ/Tpk3296copSbRE5dQHHzjo18/PaafFmDgxwO7dCQhO0pKOU6lvzBj47jsfw4c7qVkzRJs2qX0fZirmVH5+9f1uq8hQwzVAOwDTNJsAn5bZ9i7QwjRNr2maNYCGwLqy+wBtgVUV+HwRESC+xtddd4U599wIN9zg4dVXU+equUg2+/Zbg0su8XHYYTYzZwbxp0/HtEhWcrngkUeCnHxyjCFDfHz0kSZAT6SK/GsuBUKmaa4F7geuNU3zOtM0O1qW9RPwEPHC6lXgZsuyQsAdQIFpmmuApsDDFQtfRCRu7xpfDRvGGDRIa3yJJNvetbpsG63VJZJGcnNh1qwgtWtrja9EM+wUuxu9sHB3agVEal7GlPSmnKo8P/1k0Latn0gEVq4McOSRKXdIqRTKKUm0iuRUMAjduvlZt87BokUBzjpL06SJjlPp5quvHFx0kZ/atWM891yAmjWTHdHvpWJO5edX32+lqi5hEckohx9uM2dOkEDAoHdvHzt3HngfEUmcaBSGDvXywQcOJk0KqegSSVN71/jasMFB//4+QqFkR5T+VHiJSMbZu8bXN984GDDAp4lxRKrQmDEeVqxwc9ttWqtLJN3tXePr7bddXHON1viqKBVeIpKR9q7xtXq1i+HDtcaXSFV45BE3jz6aw5AhxQwZkn2zi4pkoi5dIoweHWL5cje33upJdjhprSLTyYuIpLSePSNs2hRm/HgPRx4Z4+abi5MdkkjGeuYZF6NHe2jfvoSxY3WZWSSTXHVVCZs2OZgyJYcjj4xx2WXqWCkPFV4iktGGDy9m40aDBx/0UK+ezYABaixEEu3ddx1ceaWXxo1jTJ4cwqkVHUQyimHAHXeE2bzZYNQoD3Xr2lx0kYYSHywNNRSRjGYYMGFCmNatI4wc6WHlSvU3iSTS+vUGffv6qVcvvlaXz5fsiESkMjidMGVKiNNPj3HllV7efVdlxMHSv5iIZLy9C0I2ahTjiiu8vP++Dn0iifDzzwYFBX6cTpt58wIceqhuphTJZH5/fI2vevVs+vb1s3691vg6GDr7EJGssHdByMMOs+nb18e336qxEKmIoiLo3dvHtm0Gc+YEOfZYFV0i2eDQQ23mzg3gdNoUFPjZulXt6Z+lwktEskZ+vs38+QFsGwoK/BQWqrEQKY+SEhg0yMfnnzuYPj3IqadqjmmRbHLssTazZgUpLDS45BIfe/YkO6L0oMJLRLJKgwbxxuLnn9VYiJSHbcN113l57TUX994b4rzzoskOSUSS4PTTYzz6aJD//MfBZZf5KNHcVQekwktEss4ZZ8R45JEgn3ziYMgQHxFNzCTyp02YkMP8+W7+9a8wvXvrP49INmvTJspdd4V5+WUXN9ygNTMPRIWXiGSlCy+MMn58mBdfdDFihEeNhcif8NRTbu67z8MllxRzww1aF09EoF+/Eq6/PszcuW7uvDMn2eGkNM2rLCJZa8CAEn76yeD++z0cdpjNTTfpRFJkf55/3smNN3q44IIId90VxtAtkiJSasSIYn7+Od6e1qljM3Cgxh3+ERVeIpLVbrqpmK1bDe67L95YaIFlkd977734sNxGjeL3dLh09iAiZRgG3HVXmMJCByNHxjsztcDy75Xr0Gmapg+YBRwG7Ab6W5ZVuM9r7gaal37Go5ZlPWaaZi3gK2Bd6cuWWpb1YHmDFxGpKMOAu++ONxY33eQhP1+NhUhZluWgTx8/hx8en5gmNzfZEYlIKtq7Zmb37n6GDvVSu3aQJk00+U5Z5b3HayjwqWVZLYAZwKiyG03TPBc4zrKspsSLrxtN06wJnA7MtSyrZemXii4RSTqXCx59NEjjxjGGDvWydq0z2SGJpIRNmwwuvthHTo7NggUB8vN1M6SI7F98geUA9evH6NvXx5dfajqJsgy7HHeUm6a5BLjLsqy3TdOsAay1LOvEMtu9gM+yrO2maeYAFnAycBXQEYgAW4FhlmVtKfvewWCx7XKl1kmP0+kgGtUaJZI4yqnU9Msv0LKlg59+gldfjXHyycmO6M9TTkmi7dzpoEUL2LwZXnklRqNGyY5I0p2OU9njhx/gnHMcOJ3wxhsx6tevnM9JxZxyu537vQP2gEMNTdMcBFy7z9M/AztLH+8GapTdaFlWCAiZpukGniI+1LDINM0vgQ8sy3rZNM0+wESge9l9i4rCBwqpyuXl+dmxI5DsMCSDKKdSk9MJc+catGvnp317g+eeC1C/fnr08CunJJECASgoqMZ338H8+UGOPjrKjh3JjkrSnY5T2aNGDZg920GnTn7atYOnnw5Qs2biPycVcyo/v/p+tx3w+p9lWdMtyzqp7Bfxomvvu1YHfnc4Lh1a+DzwuWVZ40uffhV4rfTxUuC0P/1biIhUgSOPtJk3L0ggEB9i9euvyY5IpGqVlMBll/l4912YMiXE2WfrHg0ROXgnnRRjxowg333noHdvP3v2JDui5CvvwMs1QLvSx22BVWU3lk6+8QrwuGVZt5fZNA3oVvr4POCDcn6+iEilOeGEGDNnBvnxx/ikAkVFyY5IpGrYNlx3nZeXXnIxcaImmhGRimnWLMojj4T46CMHAwf6KM7yVVvKe4+Xn/gQwrpAMdDbsqyfTNO8C1gENAPGAB+X2W1A6ffHAQPYAwze9x6vwsLdKTeuJxUvY0p6U06lhxUrXAwc6KV58yizZwfxeJId0f4ppyQRbrsth4cf9jBiRJg77nAppyShdJzKXnPmuBg+3EfnziVMmRLCmaDpHFIxp/Lzq+/3Hq9yFV6VSYWXZAPlVPqYN8/FsGE+LrqohMceS1xjkWjKKamoKVPcjBnjZcCAYu68M0zNmsopSSwdp7Lbww+7ue22/zvGJGIR9lTMqf9VeGkJRBGR/6GgIMKOHSFGj/Zyww02992XmMZCJJXMnh0vujp0KGHcOOW4iCTe1VeX8OuvBg8/7KFWLZsbb8y+cYcqvEREDuCKK0rYscPgvvs81KgBY8boxFQyx9NPu7j+eg/nnhth8uTUvaorIunvlluK2b7d4N5748XXZZeVJDukKqXCS0TkT7jxxnhjMXlyDrVq2Qwbln09dZJ5XnnFydChXs48M8oTT6T2fYwikv4MA+6+O8z27QY33+ylZk2b7t2zZxIfFV4iIn+CYcD48WF27jS44w4PeXk2/fplV0+dZJa333YycKCPv/0txuzZQfz+ZEckItnA5YKpU0P07m0wbJiXGjWCXHBBdixbUd7p5EVEso7DARMnhjj//Aj/+peHZcvUdyXp6ZNPHPTu7ePII2PMnx/kkEOSHZGIZBOvF556KshJJ8UYONDHm29mxxhnFV4iIgfB7YZp04KcdVaUq67y8vLL2dFYSOb46isHBQU+ata0WbgwSO3aKTeZsIhkgerVYd68AA0axOjXz8c772R+e6rCS0TkIPn9MHt2kBNOiDFggI833sj8xkIyww8/GHTv7sPhgIULA9Srp6JLRJKnVi1YuDBI3bo2vXr5+OijzC5NMvu3ExGpJIccAvPnB/jLX+I9dW+9peJLUttPPxn06OEnFDJYuDBIgwYqukQk+Q47zGbx4gC1atlcfLGfzz7L3PIkc38zEZFKtrenrn79GL17+3jvPR1SJTX9/LNB164+CgsN5s4NcMIJsWSHJCLyX/XqxYsvn8+mRw8fX3+dme1pZv5WIiJVJD/fZvHiIIcdZlNQ4Ofjj3VYldRSWGjQrZuPzZsdzJ0bpHFjFV0iknqOPjpefAF06+bju+8yb8FMnSGIiFRQnTo2S5YEqFnTpmdPP+vW6dAqqeGXX+L3dP34o4M5c4I0aZIdUzaLSHo67jibRYuChMMG3bv72bQps4ovnR2IiCTAEUfEe+r8fpuePX1Ylg6vkly//grdu/v47jsHs2YFOftsFV0ikvpOOCHGggUBduww6NrVz5YtmVN86cxARCRBjj46fuXL4YgPk/jmm8xpLCS97NgBPXr4Wb/ewYwZQVq0UNElIumjUaMYc+cG2LrVoHNnP5s3Z0Z7atj2wc9qZJqmD5gFHAbsBvpbllW4z2ueBg4FSoCgZVltTdM8DngSsIF1wFWWZf1msHlh4e6Um2YpL8/Pjh2BZIchGUQ5ldksy0GXLj5cLliyJMBxx1X+YU05JXvt3Bkvuj7/3MFTTwU577zyFV3KKUk05ZQcrHffdVBQ4Kd2bZulSwMcccRv29NUzKn8/Or7rRLLe8VrKPCpZVktgBnAqD94zXFAc8uyWlqW1bb0ufuAUaX7GUCncn6+iEjKMs0YixcHiUSgc2e/hh1Kldm1i/9Ox/z44+UvukREUsFZZ8WHHf7yS/zK18aN6X3lq7xnA82B50sfrwTOL7vRNM06QB7wjGmaq03TvKh0U2Pgjf3tJyKSKRo2jLFsWRCALl18fP65ii+pXDt3xouu//zHwbRpIVq3VtElIunvjDNiLFwYYPv2ePG1YUP6Fl+uA73ANM1BwLX7PP0zsLP08W6gxj7bc4B7gQeBWsAa0zTfBQzLsuz/sR/VqnlwuVJrIVKn00Fenj/ZYUgGUU5lh7POgldftWnTxkG3bn5WrIhx2mmV81nKqey2bRv06OHgs89gzpwYnTvnEG+Ky085JYmmnJLyatUKXnghRtu2Drp1y+XFF2Mce2z65dQBCy/LsqYD08s+Z5rmEqB66Y/VgR377PYTMNWyrAiw1TTNjwATKHs/1x/tR1FR+E8HX1VScfyopDflVPY47DBYssSgWzc/rVs7WLAgwGmnJX4dJeVU9vr5Z4MePXx8/z3MmBGkZcsoO37Xuh485ZQkmnJKKuIvf4FFixx07+7nvPMMliwJcOqpvpTLqfz86vvdVt6xL2uAdqWP2wKr9tl+PrAAwDTNasBJwBfAR6Zptvwf+4mIZJxjj7VZtixAjRo23bv7ee89DTuUxNi0yaBTJz8bNsTX6dI9XSKSyU45JcbixQH27IkPO/z222RHdHDK2/pPAU40TXM1cDlwK4BpmneZpnmWZVkrga9N03wbeBH4t2VZ24DrgVtN03yL+BiIRRX+DURE0sBRR9ksXx7g0EPjiyy//XZqDamW9PP99wYdO/opLDRYsCBA8+YqukQk8518crz4Ki6OjyhJJ+WaTr4yaTp5yQbKqey1ZYtBt24+Nm928OST8WFhiaCcyi5ff+2gWzcf4XC86GrUSMNXJfUppySRiouhVi0/RUWplVOVMZ28iIiUQ926NkuXBjnmmBh9+vhYtuyAt9qK/MZnnzno1MlHNArLllVO0SUikupycsCVZk2oCi8RkSpWp0582GHjxlGGDPEyfbo72SFJmnj/fQdduvjJyYGnnw7QsKGKLhGRdKHCS0QkCWrUgPnzg7RpE2HkSC8TJuSQYiO/JcW88IKTbt385OXZPP10gL/8RQkjIpJOVHiJiCSJzwePPx6id+9i7r3Xw4gRHqKaH0H+wIwZbvr392GaMZ57LsBRR6noEhFJN2k2MlJEJLO4XHD//WFq17Z56CEPv/5qMHlyCI8n2ZFJKrBtmDAhh/vu83D++REefTRItWrJjkpERMpDhZeISJIZBowaVUzt2jajR3vZvt3gqaeCVN//GoySBUpK4F//8jBnTg69exdzzz3htLuRXERE/o+GGoqIpIgrrihh0qQgb7/tpGNHP5s2pdf6JJI4RUXQr5+POXNyuP76MPffr6JLRCTdqfASEUkhPXpEmDUryIYNDtq08fPhhzpMZ5vCQoOuXf289pqTe+4JceONxRiqwUVE0p5adBGRFNOqVZQVKwJ4vdC5s5+lS3WpI1t88YWDdu38WFZ8ge1+/UqSHZKIiCSICi8RkRRkmjGefz5Ao0ZRhgzxabr5LPDccy7atvUTDMKSJQEuvFBTXIqIZBIVXiIiKap2bZtFi4JcfHEJ997r4fLLvQSDyY5KEi0Wg3vuyWHAAB9/+1uMl14K0LixFkYWEck0Gr8iIpLCPB546KEQxx8f4447ctiwwc+MGUHq1NHlr0xQVATDhnl59lk3PXqUcO+9IbzeZEclIiKVQVe8RERSnGHANdcU8+STISzLQevWmnQjE/zwg8FFF/lZscLFrbeGePhhFV0iIpmsXFe8TNP0AbOAw4DdQH/LsgrLbL8QuKn0RwNoDpwE+IBngK9Lt02xLGt++UIXEckubdtGeOaZAJde6qNDBz9jx4YZPLhEM96lodWrnQwe7CUaNZg7N8i55+p+LhGRTFfeLtOhwKeWZbUAZgCjym60LOt5y7JaWpbVEngWmGBZ1hfA6cB9e7ep6BIROTgnnxzj5Zf30KpVlJtv9jJokJddu5IdlfxZsRhMmuSmRw8ftWvbvPDCHhVdIiJZoryFV3Pg+dLHK4Hz/+hFpmkeCfQFbi19qjHQ3jTNN03TnG6aZvVyfr6ISNaqWRNmzAgyZkyIlStdnH9+Lh99lOyo5EC2bjXo1cvHrbd6ufDCCCtXBmjQQPfqiYhkiwMONTRNcxBw7T5P/wzsLH28G6ixn92vA+63LCtc+vO7wDTLsj4wTfNmYAxwQ9kdqlXz4HI5/2T4VcPpdJCX5092GJJBlFOSCDffDOeeG6NPHwfnnGNw7725XHaZraGHKeill2DAAAe7dsGkSTEGD3ZgGKl9DNBxShJNOSWJlm45dcDCy7Ks6cD0ss+ZprkE2Hu1qjqwY9/9TNN0ABcBN5d5eqllWXtfuxSYuO9+RUXhfZ9Kurw8Pzt2BJIdhmQQ5ZQkygknwMsvGwwfnsvVVzt49dUS7rknRLVqyY5MAIqLYfx4D5Mm5fC3v0VZuDBEw4Yxdu488L7JpuOUJJpyShItFXMqP3//A/rKO9RwDdCu9HFbYNUfvOYk4EvLssquOvOCaZpnlT4+D/ignJ8vIiKlDj3UZvnyGP/+d5hly1ycd14ub7+dWiMHstF33xl06OBn0qQc+vcv5vnnAzRsqPW5RESyVXkLrynAiaZprgYup/QeLtM07ypTWJnAt/vsNxR4wDTN14FmwB3l/HwRESnD4YDhw4tZujRINAqdOvm45RYPgdTqCMwKtg0LF8YL4G+/dTB9epC77w7jT5/RMCIiUgkM206tG3sLC3enVkCk5mVMSW/KKUm0sjlVVAT/7/95mD49h2OPjfHggyGaNNHMeVXhxx8NRozw8sorLs46K8KUKSHq10+5Zu1P0XFKEk05JYmWijmVn199v3daawVOEZEMU60ajB8fZunSwH+vfo0apatflSkahUcecdOiRS5vveXk9ttDLF8eTNuiS0REEk+Fl4hIhmrWLMrrr+9h4MASHn00h5Ytde9XZVi3zkG7dn5uucVL06ZRVq3aw5AhJTj1Ty0iImWo8BIRyWB7r34tWxbAtuNXv/75Ty8//6w55ysqGIQ77sihdWs/P/5oMHVqkDlzdJVLRET+mAovEZEscPbZ8atfV15ZwqJFLv7+91zuvz+HYPDA+8pv2Ta8+KKTli1zeeghD927R1i9eg9du0a0hpqIiOyXCi8RkSyRmwtjxoRZtWoPLVtGGD/eQ7NmuSxd6iLF5llKWe+956BTJx+XXOLHMGDRogAPPRSiVq1kRyYiIqlOhZeISJZp0MDmySdDLF0aIC/PZsgQH+3b+/ngAzUJ+/PVVw769/fSvn0u33zjYMKEEKtW7eGcczRbpIiI/DlqZUVEslSzZlFeeinAAw8E+eEHg7Ztc7n8ci/r1qlp2GvzZoNrr/Vwzjl+Vq1ycdNNYd55Zw8DBpTgdic7OhERSSdqXUVEspjTCb17R3jnnT0MHx7mpZdctGqVS0GBj7VrnVk7BHHTJoOxYz00aZLLggVuLrushHff3cN11xVTrVqyoxMRkXSkwktERKhWDf7972I++qiIkSPD/Oc/Djp39tOunZ/nnnMRiyU7wspn2/DOO04GD/Zyxhm5TJ3q5qKLIqxdu4fbbw9Tu3aWVqEiIpIQKrxEROS/8vLg2muL+eCDPUyYEGLbNoMBA3w0b+5n9mx3Ri7CHA7DggUuWrf206GDnzfecHHFFSW8994eJk8OcfTRKrhE5P+zd+fxUdT3H8dfs7tJNsleIAhqFbXqV60nWpWKiiciHoggt8ql4IWiVVS8URBUPBFE8OIGwQoK4l3EqrUeVauj2Fq1XghkN3eyu/P7Y2N/kcqVbDK7m/fz8ciD7MxO5g18Hjv5zPH9ijSe5WTYfSRr15ZmViAgEimipCQHf9sQ16imJN2aqqbicVi2zG1E4SsAACAASURBVMd99+Xz0UdeAgGH7t3j9OpVS+fOiayeJPirryzmz8/jscfyWLvWw157JRg2rJbevWspLnY7nfv0OSXpppqSdMvEmmrbNrjJiUV8zRlERESyi88HPXrEOeOMOG+84WXhQh9Ll+Yxf34e7dolOfPMOL1717LffsmsmMPqiy8sli3LY9kyHx98kOoaTzghzvDhVXTpksiKv4OIiGQnXfHaCpnYTUt2U01JujVnTVVWwgsv+Fi0yMdLL/morbUwJsFpp8Xp3DlBx44J/P5mibJFjgOffOJh2TIfzz7r45NPUs3WIYck6N69llNPjbPrrhl32MkI+pySdFNNSbplYk1t7oqXGq+tkIn/qZLdVFOSbm7V1Pr1sHRpHosW+Xj7bS+OY1FQ4HDIIQk6dUrwhz8kOOSQBEVFzZOnshI++sjDe+95efddL++84+WrrzxYlsPhhyc49dQ43bvH2WmnjDvUZBx9Tkm6qaYk3TKxppqs8TLGnAn0tm27/6+sGw5cAMSBcbZtLzPGtAHmAIXAt8Bg27Z/8a+lxktaAtWUpFsm1FRJSWpUwNWrffzlL14+/NBDMmmRl+dw8MEJ9t47SYcODrvumqRDh9RXONywfVVUwA8/WPzwg4cvv7R4910v773n5eOPPcTjqWPejjsmOeigBF26JOjWLU67dhl3eMlomVBTkltUU5JumVhTTfKMlzHmXqAr8P6vrGsPXAocCviB140xLwA3AHNs237MGDOGVGM2uaEZREQkc0Qi0LVrgq5dEwDEYvD2217eeMPLW2+lbvVbt86z0TYOHTokadfOIS/PwedLPVeWlwc+X+q11wsbNlj8+KPF99+nmq3S0l8e14JBh4MOSnDRRTUcfHCSjh0TtG+vRktERDJHYwbXeAN4mlTztLHDgNW2bVcD1caYNcABQGfg9rr3LK/7/heNVyBQgM+XWcNkeb0eIpFmuk9GWgTVlKRbJtZUJAK77AK9ev28xCEWS/Cvf1H3ZdX96eH776G2NjWK4s9f9V+3agXt28MBB8AOOzi0b++www7Qvr3DLrvAXnuBx2OhMaPSJxNrSrKbakrSLdtqaotHKGPMUODyjRYPtm17vjGmyyY2CwHReq9LgfBGy39e9gtlZdVbitTsMvEypmQ31ZSkWzbVVIcOqa8uXdL3M2Ox9P0sScmmmpLsoJqSdMvEmmrbNrjJdVtsvGzbngHM2MZ9xoD6ew0CJfWWV9ZbJiIiIiIiktM8W35Lg7wNHGWM8RtjwsA+wEfAauCUuvd0A1Y10f5FREREREQyRlobL2PMaGPM6bZtfw/cR6qxehm4zrbtKmAc0NcYsxroBDyQzv2LiIiIiIhkIs3jtRUy8f5RyW6qKUk31ZSkm2pK0k01JemWiTW1ueHkm+pWQxEREREREamjxktERERERKSJqfESERERERFpYhn3jJeIiIiIiEiu0RUvERERERGRJqbGS0REREREpImp8RIREREREWliPrcDZDJjjAeYAhwIVAPDbNte424qyWbGmDxgJrArUACMs237GVdDSdYzxmwP/A040bbtT93OI9nPGHMNcDqQD0yxbXuGy5EkS9Ud9x4nddxLAMP1OSUNZYw5HLjDtu0uxpg9gMcAB/gIuMi27aSb+bZEV7w2rwfgt227EzAGuMvlPJL9BgLrbNs+CugGPOByHslydb/UTAMq3c4iucEY0wX4A3AkcAyws6uBJNudAvhs2/4DcAtwm8t5JEsZY64CHgH8dYvuBsbW/U5lAWe4lW1rqfHavM7ACgDbtt8EDnU3juSAhcD19V7H3QoiOeNOYCrwrdtBJGd0BT4ElgBLgWXuxpEs9xngq7uLKATUupxHstcXQM96rw8BXqv7fjlwQrMn2kZqvDYvBETrvU4YY3R7pjSYbdtltm2XGmOCwCJgrNuZJHsZY84D1tq2/bzbWSSntCF1orE3MAKYbYyx3I0kWayM1G2GnwLTgftcTSNZy7btp/hl427Ztv3zvFilQLj5U20bNV6bFwOC9V57bNvWFQppFGPMzsArwJO2bc9xO49ktSHAicaYV4GDgCeMMe3djSQ5YB3wvG3bNbZt20AV0NblTJK9LidVT3uRemb+cWOMfwvbiGyN+s9zBYESt4JsLTVem7ea1L3JGGOOIHXrhUiDGWPaASuBq23bnul2Hslutm0fbdv2MbZtdwHeB86xbft7l2NJ9nsdONkYYxljdgSKSTVjIg2xgf+/e2g9kAd43YsjOeS9umdSIfXc/CoXs2wV3Ta3eUtInU1+g9RDe4NdziPZ71qgFXC9MebnZ7262batgRFEJCPYtr3MGHM08DapE7QX2badcDmWZK/JwExjzCpSo2Rea9t2ucuZJDdcAUw3xuQDn5B6hCOjWY7jbPldIiIiIiIi0mC61VBERERERKSJqfESERERERFpYmq8REREREREmpgaLxERERERkSamxktERERERKSJqfESERERERFpYmq8REREREREmpgaLxERERERkSamxktERERERKSJqfESERERERFpYmq8REREREREmpjP7QAbW7u21HE7w8YCgQLKyqrdjiE5RDUl6aaaknRTTUm6qaYk3TKxptq2DVqbWqcrXlvB5/O6HUFyjGpK0k01JemmmpJ0U01JumVbTanxEhERERERaWJqvERERERERJqYGi8REREREZEmpsZLRERERESkiTVqVENjzOHAHbZtd9lo+WnADUAcmGnb9nRjTCEwC9geKAXOtW17bWP2LyIiIiIikg0a3HgZY64CBgHlGy3PAyYDv69bt9oYsxToD3xo2/ZNxpi+wFhgVEP332zicax3/oo34cUJhXCCQZziAFibHClSREREHAerNIa1bh2ekg3g8+H4C3H8fhx/IfgLUn/m5bmdVESkWTTmitcXQE/gyY2W7wOssW17A4Ax5nXgKKAzMLHuPcuB6xux72ZTOGMavuuvoXW9ZY7HgxMM1TViIRK77kZ8731I7LMv8X1+R2L334Iv46ZIExERSR/HwfPVv/H9/QN8H36A99//wvPTOjzr12Gt+yn1Z03Nln+M14vTejviv92DxG/3ILF73Z+/3YPErrtBQUEz/GVERJpeg7sD27afMsbs+iurQkC03utSILzR8p+X/Y9AoCCzxuS/fBTJQw4iuX4DxKJY0ShEo1BaihWNYm3YgPfzz8hf8SxWMgmAk58PZm+c/fbDOeggkiecCPvtp6tk8l9er4dIpMjtGJJDVFOSbr+oKceBNWuw/vY3rPffxXrvvdRXSUlqtc8HHTrgtG0Lu3aA3x9Ksk0baNsWp01baN0K4gmorISqSqzKytT3lZVQVYX1ww/4Pv+MvBdWYP34438zOB4P7LYbTqc/kDzueJzjjoMdd3Tjn0PSQJ9Tkm7ZVlNNcVkmBgTrvQ4CJRst/3nZ/8i02acBIiecSElJxebfVFWF9/PP8H3yMb5PP8H76T/wrVqFd+4cvEBix52oOe4Eao4/idqjj8EJhpolu2SmSKRoyzUlsg1UU5JukUA+5StfJn/5sxSseBbvv78EUicX4/v+jvjpPYkfcGDqa+99we9Py36taAnef36B94s1eNd8js/+lLznnsU3K3WDTXzPvag96hhqjj6W2iM744QjadmvND19Tkm6ZWJNtW0b3OS6pmi8PgH2NMa0BsqAo4E7gQ7AKcDbQDdgVRPs2z1+P4n9DyCx/wHUbx09331L/ssvkv/iSgr+tITCWY/j+HzUHt6JmuNOpPr0HiQ77OpWahERkf9XVkb+Ky9RsOJZfC+tJLJ+PU5BATVHHUPFhZdS+/vDSZi9m/S5LCccIX7wIcQPPuT/FyaTeD/+iPxVr5G36lX882ZTOHM6jsdD/NDDqDq7H9VnnKkmTEQymuU4ToM3rrvVcJ5t20cYY/oDAdu2H643qqGH1KiGDxpjioDHgR2AGqC/bdvfb/wz164tbXigJpK2brq2lry/vkX+Sy+Q/9IL+P7xEY5lUXvMsVQOOo+arqdAfn7j9yMZLxPP0Eh2U01JgzkOeateo/DRR8h/8Xms6mqSrVrBKd0pPa4rNcceD4GA2yl/qaaGvHffIe/Pr1Kw9Gl89qc4BQVUn3IqVX0GUHvMseDNoMcWBNDnlKRfJtZU27bBTT5b1KjGqynkdOO1Ec/XX+GfNxv/nCfx/ucbkm3aUtV3AFUDzyGx+x5p359kjkz8oJDsppqSbWXFovjnz8H/6CP41nxOcrvtqOrVh5pup1J72BFE2oSyo6YcB98H7+GfN5uCJYvwbNhAov0OVPfuS1Wf/iT2Mm4nlDr6nJJ0y8SaUuPVSE3+n5pIkP/Ki/iffJz8lcuxEglqjjyKqnOHUH1aD521y0GZ+EEh2U01JVvL+4+PKZw5Hf+i+VgV5dQeciiVg4dTffqZv3hOKytrqrqa/JUr8C+YQ/6LK1PH02OOpWL0VdR2OtLtdC1eVtaUZLRMrCk1Xo3UnP+pnh++xz93Fv5ZT+D96kvie+xJxeirqD6zlxqwHJKJHxSS3VRTslmOQ96rL1N0z53k/2U1jt9P1Zm9qBoynPiBB//qJtleU9aPP+KfN4uiqQ/i+WkttYd3ouKyK6g57kSNMuySbK8pyTyZWFOba7w8zRlEtizZrj0Vl13J+rffJzrjScjLJ3ThcFoddRgFTy2ARMLtiCIikkV8b71J+MzuRPqciffrryi7cRzr3v+EsnunbLLpygXO9ttTeelo1v3tI0pvn4jn668I9+tF5MRjyF/2DNRNASMi0lzUeGUqj4ea085gwyuric54AvLyCI0cRqujD6dg8UI1YCIislneD/9OaEBvWp12Er7PP6N0/CTW/+VdKi+6FKf1dm7Haz6FhVQNG8H6tz+gdPIDWKUxwkMG0uqYI1LH0wy780dEcpcar0zn8VBzWg82vPJGqgHz+QiNGEqrY44gf/mzOmCIiMgveNd8TnD4ebQ+vjN5f32LsrE3s+7tD6gaegEUFLgdzz35+VQNOIcNq98hNnUGeDyERgwl0v1EfO+/63Y6EWkB1Hhli/oN2COPAxA+tx+hAb3x/OufLocTERG3WRvWE7hiFK06/56CF56nfPQfWf/Xv1N56eVQXOx2vMzh81HdszcbXnmD2L1T8H75LyJdjyVw2UVYP/7odjoRyWFqvLKNx0PN6Wey4ZU3KLvldvL+8gatjz6coom3Q2Wl2+lERKS5OQ4FC+bS+shD8c95gsphF7Dur3+nYsz1mlB4czweqvsNZP2b71I54mL8C+bSulNHCqfcDzU1bqcTkRykxitb5eVROeJiNvzlb1R3P43iOyfQ+qjDyV+53O1kIiLSTLxffE641+mELr6ARIfd2PDiKsrH3YHTtq3b0bKGEwpTfvNtbPjzW9QedjiBm66jVZdO5L+00u1oIpJj1HhluWT7HSidOpOSxctw/AWEB/YhNKgPnn9/6XY0ERFpKtXVFE0aT6tjOuH74H1KJ06m5NkXSPxuP7eTZa3EHnsSm/sU0dkLIJkk3K8XweHnYa1b53Y0EckRarxyRG3no9nw8mrKbriV/FV/pvXRh+Of8bAG3xARyTF5q1fR6tg/UDxpPNXdT2P96neoOm8oeHRIT4eaE09mw5/fonzMWAqeW0rrow8nf8VzbscSkRygT+lckp9P5cWjWP/GO9R2OpLgNVcS7ncWnh++dzuZiIg0VmUlgTFXEDmzO1ZtLSXzFlM67VGcdu3cTpZ78vOpGH0VG55/leT27Qif05fgpSOxYlG3k4lIFlPjlYOSO+5EdO5TlI6/k7w3Xk8NPb/sGbdjiYhIA3k//ohWXbtQOHM6FRdcxPo/v0XtcSe4HSvnJfbbnw3Pv0L56D9SsHAerY4+grxXX3Y7lohkKTVeucqyqBp6Phteep3Ezh0IDxlI8JIRWKUxt5OJiMjWchwKH55Cq5OPxVq/npL5Syi/dTwUFrqdrOXIz6dizPWUPPsCTnExkbN7ELjqcigrczuZiGQZX0M3NMZ4gCnAgUA1MMy27TV16w4C7qn39iOAHsDbwGfAR3XLl9i2fW9DM8iWJfbci5LnXqTorgkU3XMXeW+8TumDD1N7xB/cjiYiIpth/fgjoUtHkP/yi1SfdDKl90zBadPG7VgtVrzjoWx4cRXF42+lcNqD5L/6MtEZT5LY/wC3o4lIlmjMFa8egN+27U7AGOCun1fYtv2+bdtdbNvuAjwILLZtewXQEZj78zo1Xc0kLy91tm7p8+D1Ej6jG0UTxkEi4XYyERH5FfkvPk/rLp1SJ8sm3EXsyflqujJBYSHlt9xO9OnnoKqKVqccj3/2E26nEpEs0ZjGqzOwAsC27TeBQzd+gzGmGLgZuLRu0SFAR2PMa8aYhcaYHRqxf9lG8d8fzvqXV1Pdpz/Fd08k3L8X1ob1bscSEZGf1dZSfP0Ywv17k2y7PRtWvkbVkOFgWW4nk3pqOx3Jhpdep/awTgQvv5jAqAuhstLtWCKS4Rp8qyEQAuoP75Mwxvhs247XWzYUWGjb9k91rz8F/mbb9ovGmAHA/UCv+j80ECjA5/M2Ilb6eb0eIpEit2OkR6QIHn+M+NGdybtsFNt17UJ8/kI4+GC3k7UoOVVTkhFUUzngxx/x9uuDZ9UqEhddjDN+AkG/37U4qqktiHSAlc+TuOVmCsffjv/jD4nPmw977OF2soylmpJ0y7aaakzjFQOC9V57Nmq6AAbwy8bqZaCi7vslwC0b/9CysupGRGoakUgRJSUVW35jNuk1AN/uhtCQQfiOOYrSSfdQ3ae/26lajJysKXGVaiq7+d5/l9B5A7DWryP20CNUn3U2VCWhyr3/U9XUVrp8DPkHdCR44XC8hx9G6X0PUdP9NLdTZSTVlKRbJtZU27bBTa5rzK2Gq4FTAIwxRwAf1l9pjAkDBbZtf11v8SPAWXXfHw/8rRH7l0aKdzyUDS/8mdpDDyN0yQgCV4+Gmhq3Y4mItCgF8+cQOa0reDyULFuZarokq9QcfxIbXlxFYo89CA8eQPFNY6G21u1YIpJhGtN4LQGqjDFvAJOBy40xo40xp9et3wv4cqNtxgAjjTGvAiOAUY3Yv6SB07Yt0QVPU3HRKAoffYRIj1PwfPet27FERHJfbS3FY68mdMkIan9/OBtWvkb8gIPcTiUNlNx5F0qeeZ7KwcMomnIf4b5nYUVL3I4lIhnEchzH7Qy/sHZtaWYFIjMvYzaF/KVPE7z0QigqIvrkPOId/2e8FEmTllJT0nxUU9nF+uknQsPPJX/1KiouuJDyG8eBrzF3/6efaqrhCubNJnjFpSR23Y3o7IUkd93N7UgZQTUl6ZaJNdW2bXCToyFpAmX5r5rTelCy4mWcoiIiZ3Yn/9mlbkcSEck53o8/otVJx5D3ztvEHphG+a0TMq7pksap7juA6MI/4flpLa26HYfvrTfdjiQiGUCNl/xCwuzNhuUvE993P0JDBlI49QHIsKuiIiLZKu+1V1LPcyUSlCx9nuqz+7kdSZpI7R86U7L8JZLhCJGzTqVg0Xy3I4mIy9R4yf9w2rShZPEyarqfTuCGawlccyXENx6wUkREtkXB/DmE+52VehZo+UvED+rodiRpYond96Bk+UupQawuHE7RHbfpZKZIC6bGS35dYSGxRx5PDboxczqh8/pDWZnbqUREso/jUHT3xNQgGp06U7J0Bckdd3I7lTQTp1VroguepqrvAIrvuoPgyKFQVeV2LBFxgRov2TSPh/Ibb6V04mTyX1xJ5IxueL7/zu1UIiLZIx4ncMWlFE8YR1XvvkTnLsIJhd1OJc0tP5/Se6dQNvYm/IsXETnrNKwN691OJSLNTI2XbFHVeUOJzV6A959fEOl2PN5/fOx2JBGRzFdWRmhQHwpnPU755VdS+sA0yM93O5W4xbKovHQ00Ucex/fBe6mTmZq+RaRFUeMlW6Xm+JMoeWYFJBJEzuiG769vuR1JRCRjWT/8QKTHKeS/8hKld95LxTU3gLXJEYalBak5/Uyi8xbj+fprIqeehPefa9yOJCLNRI2XbLXE/gdQsmwlydatifQ+g7zXXnE7kohIxvF8+S9adT8R35rPiD05j6pzBrsdSTJMbeejiS5ZhlVRTuTUrvg+/MDtSCLSDNR4yTZJ7tKBkmeeJ7Hr7oQH9NZcXyIi9Xg/s4mcfjJWrCQ1OuyJJ7sdSTJU/KCOlCxdiVNQQLhHd/LeeN3tSCLSxNR4yTZz2rWj5OlniR9wEKGhgyiYN9vtSCIirvN9+AGRM07GSiQoeXo58Y6Huh1JMlxijz1Td5K0b0+4z5nkr3jO7Ugi0oTUeEmDOJFWlCx4mtrOxxC6dCSFD09xO5KIiGt8b79F+MxTcfyFlCxdQWLf37kdSbJEcqffUPLM88T3/R2hwQN0MlMkh6nxkoYLBIjOXkB199MJjB1D0aTxmhhSRFqcvD+/SuTsHiS3246Spc+T2H0PtyNJlnG2247oU0upPfLo1MnM6Q+5HUlEmoAaL2mcggJi0x9LTQw5aTzFN1yj5ktEWoz855cTHtCbRIfU86/J3+zsdiTJUk4gmDqZecppBK67msKHHnA7koikma+hGxpjPMAU4ECgGhhm2/aaeuvvA44ESusWnQHkAXOAQuBbYLBt2xUNzSAZwuej9J4HSYZCFE2bglVdTdkdd2voZBHJaQVLFhG86Hzi++1PdN5inNbbuR1Jsl3dyczgyGEEbrwW4nEqL7nM7VQikiYNbryAHoDftu1OxpgjgLtINVc/6wh0tW37p58X1DVjc2zbfswYMwa4AJjciAySKTweym+dAPkFFD1wDwBlE+4Cjy6qikjuKZg3m+CoC6k9vBOx2QtwgiG3I0muyMujdOoM8HoI3HoDJBNUjrrC7VQikgaN+a24M7ACwLbtN4H/Dt9UdzVsT+BhY8xqY8yQjbcBlgMnNGL/kmksi/Lrb6biksspfGwGgauvgGTS7VQiImlVMH9Oquk6qkvqSpeaLkk3n4/SB6dT1bM3gdtupuiuO9xOJCJp0JgrXiEgWu91whjjs207DhQD9wN3A17gFWPMOxttUwqEN/6hgUABPp+3EbHSz+v1EIkUuR0je9w5kYQ/j8JJE8kv8JG8735d+dqIakrSTTXVPKzZs/FeOhLn2GOxFj9NpCh3/81VUxlg9iySwwoovuM2/D6L5A03ZvVt/KopSbdsq6nGNF4xIFjvtaeu6QKoAO79+fktY8zLpJ4F+3mbyro/Szb+oWVl1Y2I1DQikSJKSvQo2ja58jqKaxIU3XsXNVW1lE28W81XPaopSTfVVNMreGoBwYvOp/bIo4jOnAM1QE3u/purpjLEnfcTSELhbeOoqqiiYsz1Wdt8qaYk3TKxptq2DW5yXWMar9XAacCCume8Pqy3bi9gnjGmI6nbGTsDj9dtcwrwGNANWNWI/UsmsyzKr70Bx7IovudOcBzKJk1W8yUiWenngTRqOx1J9Mn5kMNXuiTDeL2UTX4AvF6KJ9+JFU9QPvamrG2+RFqyxjReS4ATjTFvABYw2BgzGlhj2/YzxpjZwJtALfCEbdsfG2PGAY8bY4YDPwH9G5lfMpllUXHN9QCp5gvUfIlI1il4+imCI4dRe3gnorMWQHGx25GkpfF4KLvzXvB4Kbp/Mk5eHhVjxrqdSkS2UYMbL9u2k8CIjRZ/Wm/9RGDiRtv8AJzc0H1KFvq5+bKgePKdYFmp5ktn6kQkC+Q/syTVdB12BNHZC9V0iXs8ntRt+4k4xXdPxCks1GiHIlmmMVe8RLaOZVEx5nqspEPRvXfhFBZSfsvtar5EJKPlL/0ToQuGED/0MKJzFkEg4HYkaenqrnxZlZUEbrsZ/H4qL7jI7VQispXUeEnzqHvmi4pyiqY9iBMIUHH1dW6nEhH5VfkvrCB0wWDiHQ8lOldNl2QQr5fSB6ZhVVcTuP4aHH8hVecO2fJ2IuI6NV7SfCyL8nF3YFVWUnzXHThFxVRecpnbqUREfiFv9SpCQ88h/rv9ic5dhBPY9AhVIq7w+YhNm0novP4Errocx++nuo8emxfJdGq8pHlZFmWT7sGqKCdw6w04RUVUDT3f7VQiIgD43n2H0MA+JDrsmpocOfQ/002KZIb8fGIzZxEecDbBUReC30/1GT3dTiUim6HGS5qf10vp/dOwKioJXnMlTnEx1X0HuJ1KRFo47z8+Jty3J06bNkQX/glnu+3cjiSyeX4/0SfmEunbk+DIYTgFfmpOPsXtVCKyCRrXW9yRl0ds+mPUdDmO4GUXUfCnxW4nEpEWzPvPNUR6n4FTWETJomdItt/B7UgiW6e4mOichcQPOJDQsHPIe+UltxOJyCao8RL3FBQQfWwOtYcdQXDkMPJXLnc7kYi0QJ5vvibc6wxIJogueoZkh13djiSyTZxgiOi8xST2NIQHD8D317fcjiQiv0KNl7irqIjY7AXE9z+A0NBzyHv9z24nEpEWxPrxR8K9TseKxYgueJrEnnu5HUmkQZxIK0rmLyHRrj3hAb3xfvIPtyOJyEbUeInr/numbrfdCZ3TD9/f33c7koi0AFbJBiJn98D7/XdE5ywivv+BbkcSaRRn++2JLngax19I+OweeP79pduRRKQeNV6SEZxWrYnOX4LTqhXhvj3xfvG525FEJJdVVBDu3xvvms+IPj6X+GGHu51IJC2SHXYlOn8JVnUVkd5nYP3wg9uRRKSOGi/JGMkddiS6YAkA4bPPxPPdty4nEpGcVFtLaNg5+N59h9jUmdQec6zbiUTSKrHPvkTnLMLz4w9E+vbEipa4HUlEUOMlGSbx2z2Jzn0Ka8MGwn3OxNqw3u1IIpJLksnUSKovrqRs4mRqTj3d7UQiTSJ+6GFEH52N97NPCQ/sAxUVbkcSafHUeEnGiR94MLEn5uL95xeE+/eG8nK3I4lILnAcim8ai3/hPMqvuZ6qcwa7nUikSdUeezylO7IyRQAAIABJREFUU6bje/tNQsPPhdpatyOJtGhqvCQj1XY+mtjUmfje+xvhoYOgpsbtSCKS5QofuJeiqQ9QMewCKi670u04Is2i+oyelE2cTMELzxO8dCQkk25HEmmxfA3ZyBjjAaYABwLVwDDbttfUW3850Lfu5XO2bd9sjLGAb4CfR034i23b1zQ4ueS8mlNPp2zSPQSvuJTgpSMonfIIeHSuQES2nX/OkwRuvYGqnr0oH3cHWJbbkUSaTdW5Q/BsWE/x7beQ3L4d5Tff5nYkkRapQY0X0APw27bdyRhzBHAXcAaAMWZ3YABwOOAAq4wxS4AK4F3btk9rfGxpKaoGnYe1fh2B224m2Xo7ym+bqF+YRGSb5K94jsDoS6jpchyl903VCRxpkSpGXYG19keKHrqfZLv2VF54iduRRFqchjZenYEVALZtv2mMObTeuq+Bk23bTgAYY/KAKuAQYCdjzCtAJXC5bdv2xj84ECjA5/M2MFbT8Ho9RCJFbsdouW4YS6KshKJ776Vgtw4k/3iV24kaTTUl6aaa+nXW66vwnn8eziGHYC1eTCQQcDtS1lBN5aD77yO5/icCN12Hf7ddcPr1a9bdq6Yk3bKtphraeIWAaL3XCWOMz7btuG3btcBPdbcWTgLes237M2NMe2C8bdsLjTGdgVnA7zf+wWVl1Q2M1HQikSJKSjQakKuuuZngV9/gv+5aysPbUX128x4s0k01Jemmmvpf3k/+QaRHDxK/2ZmSJxbgxD2gf6OtpprKUZOnEP7+B/KGDSFaGKS2y3HNtmvVlKRbJtZU27bBTa5r6P0WMaD+T/XYth3/+YUxxg/MrnvPhXWL3wH+BGDb9uukrn7pnjHZOh4PpfdNpabz0QQvu4i8V15yO5GIZDDPf74h3LcnTlFRanL27bZzO5JIZvD7iT0+h8SehtDggfj+/r7biURajIY2XquBUwDqnvH68OcVdc3Un4APbNu+4OdbDoEbgcvq3nMg8JVt205Dg0sLVFBA7LHZJPbam9CQQTpYiMivsqIlhPudhVVWRnTuUyR33sXtSCIZxQmFic57CqdVK8J9z8Lzr3+6HUmkRbAcZ9t7n3qjGh4AWMBgUo3YGsALzAXerLfJNcCnpG4vDABx4CLbtj/d+GevXVuacc1YJl7GbMk8339H5JQTsKqq2PDciyR33c3tSNtMNSXpppqqU1VFuG9P8v76FtF5i6k96hi3E2Ut1VTu837+GZFTTyQZaUXJshdw2rZt0v2ppiTdMrGm2rYNbvKOvgY1Xk1JjZdsDe9ndupg0ao1Jc++iNOmjduRtolqStJNNQUkkwTPH4z/mSXEps6gumdvtxNlNdVUy+D761tEep1O3OxNyeJnoQkHoFFNSbplYk1trvHSmLqSlRJ7GaKzFuL97lvCA3pBebnbkUTETY5D8Q3X4H9mCWU33aamS2QrxX9/OLHpj+H78O+Eh50DtbVuRxLJWWq8JGvFDzuc2LRH8X3wPqHh5+pgIdKCFT70AEUPP0TF+SOpHHmx23FEskrNSd0om3QP+S+/SOCPl0GG3Q0lkivUeElWq+nWnbI77qbgxZUErrpcBwuRFqhg8UICN11H1elnUn7LeE2yLtIAVQPPpXz0VRTOeZKiOye4HUckJzV0Hi+RjFF17hA8335D8eQ7Sf5mZyquuNrtSCLSTPJe/zPBS0ZQ0+lISh+YBh6dTxRpqIqrr8P7n28onjSexG92prrfQLcjieQUNV6SEyrGXI/3m28ovuM2Ejv9huq+A9yOJCJNzPvJPwid25/E7r8l9vgc8PvdjiSS3SyL0rvvx/P9dwRHX0KyXXtqjzvB7VQiOUOnBiU3WBalkx+g5qguBEdfQt6rL7udSESakOe7bwn3OwunuJjo3KdwIq3cjiSSG/LyiM18kvg+vyM09BzNmSmSRmq8JHfk5xN79EkSexpCQwbh/ejDLW8jIlnHKo0R7tcLKxolOnshyd/s7HYkkZziBEPE5izEadWKUP/eeL76t9uRRHKCGi/JKU4oTHTuIpxgkHD/Xnj+843bkUQknWprUydW7E+IzXySxP4HuJ1IJCcl2+9AdO5TWNXVhPudhbVhvduRRLKeGi/JOckdd0odLMrLUweLaInbkUQkHRyH4BWXkv/aK5TefT+1xx7vdiKRnJYwexN7Yi7ef39J+Jx+UFXldiSRrKbGS3JSYt/fEXtsNt4v1hAaPBCqq92OJCKNVDRpPP55sym/coxGWxNpJrWdjqT0wYfJe+svBC8ZAcmk25FEspYaL8lZtUcdQ+k9D5L/+p8JjrpQBwuRLOaf8yTFd06gst9AKv54jdtxRFqU6jN6UnbjOPx/WkzxrTe6HUcka2k4eclp1b37Uv6fbyi+/RYSu3Sg4tob3I4kItso7+UXCVxxKTVdjqPszns1QbKICyovvATv1/+m6MF7SfxmZ6qGnu92JJGso8ZLcl7FqCvwfP01xfekJliuOmew25FEZCt5P/w7oaHnkNh7X2IznoC8PLcjibRMlkXZbRPx/OcbAtddRXLHnajp1t3tVCJZpcGNlzHGA0wBDgSqgWG2ba+pt344cAEQB8bZtr3MGNMGmAMUAt8Cg23brmhEfpEtsyzK7rgLz3f/IXD1aJI77kjNCV3dTiUiW+D55mvC/XvhhMNE5yzECYbcjiTSsnm9xKbOJNKzO6ERQyhZ8izxjoe6nUokazTmGa8egN+27U7AGOCun1cYY9oDlwJHAl2B8caYAuAGYI5t20cB75FqzESans9H7OHHiP9uf0LDztOEkCIZzoqWEO7fC6uigujcp0jusKPbkUQEoLiY6JMLSLZtR3jg2Xi+/JfbiUSyRmMar87ACgDbtt8E6p/yOAxYbdt2tW3bUWANcED9bYDlwAmN2L/ItgkEiM1eQLJ169SEkF9/5XYiEfk1NTWpubq+WEPssdkk9tnX7UQiUo+z/fZE5z0FiURq2pb169yOJJIVGvOMVwiI1nudMMb4bNuO/8q6UiC80fKfl/1CIFCAz+dtRKz083o9RCJFbseQdIjsTnLZs/iOOYrWA3oTf+3P0KpVs8dQTUm65UxNOQ7eIRfiWfUa8ZmPUXxaN7cTtVg5U1PSNA49kOTiJXhP7krrIQNIrFgJfv9mN1FNSbplW001pvGKAcF6rz11TdevrQsCJfWWV9Zb9gtlZZk331IkUkRJiR5Fyxk77kreY3MIn90Dp2dPovMWQ0FBs0ZQTUm65UpNFU24leLZsygfM5aKU3tCDvydslWu1JQ0od91JP/BhwkPO5eagYMoffhR8Gz6ZirVlKRbJtZU27bBTa5rzK2Gq4FTAIwxRwAf1lv3NnCUMcZvjAkD+wAf1d8G6AasasT+RRqs9sijKL3vIfJXr0rN8eU4bkcSafH8sx6n+O5JVA44h4rL/+h2HBHZCjWnn0nZTbfhf2YJxTdf73YckYzWmCteS4ATjTFvABYw2BgzGlhj2/Yzxpj7SDVWHuA627arjDHjgMfrRjz8CejfyPwiDVZ91tmUffM1gdtuJrnzLpRfp0khRdyS9/ILBP54GTXHHk/ZxMmaq0ski1SOvDg1x9dD95PYeWeqho1wO5JIRrKcDDvTv3ZtaWYFIjMvY0qaOA6BP15O4RMzKZ10D1XnDmmW3aqmJN2yuaZ8H35A+PRuJHbbnegzy3ECm75NQ5pPNteUuCCRIDR4IPnPP0fs0dnUnHLq/7xFNSXplok11bZtcJNnDhtzq6FI9rMsyibcSfWJXQlcPZr8lcvdTiTSoni+/opQ/944kQixOQvVdIlkK6+X2NQZxDseQmjEEHzvvO12IpGMo8ZLxOcjNu1R4vsfSOj8wfje+5vbiURaBKtkQ2oo6srK1Fxd7XdwO5KINEZRUWqOr/Y7EB7UB88/v3A7kUhGUeMlAhAIEJ21gGSbtoQHaEJIkSZXXU3o3P54v/wXscfnkNh7H7cTiUgaOG3apOb4cpzUiZWffnI7kkjGUOMlUsdp147o3KcgXqsJIUWaUjJJ8JILyP/Lakrve4jaI49yO5GIpFFi9z2IPjkf73ffEh7UByoy6xkcEbeo8RKpJ7HnXkSfmI/3m68Jn9MPKivdjiSSc4pvuQH/04spu/4Wqnv2djuOiDSB+O8PJ/bQDHzvvkNo5DBIJNyOJOI6NV4iG4kf0YnYgw/j++tbhC6+AJJJtyOJ5Az/I1MpmnIflYOHUXnxKLfjiEgTqul+GuXjJlCwfBmBsVdrzkxp8dR4ifyKmtPPpPym2yhY+jTFN17rdhyRnJD/7FIC111N9cndKbt9kubqEmkBKoePpGLkJRTOeBjPXXe6HUfEVY2ZQFkkp1WOuAjPf76maNoUkjv+hsqRF7sdSSRr+f76FqGRQ4l3PITY1Bng9bodSUSaSfmNt+L5/lv8115DQaQN1b36uB1JxBVqvEQ2xbIov2U8nu+/J3DjtSTbtdPzKCIN4P3ic8KD+pDYYUeiTy6AoiK3I4lIc/J4KL1vKvkb1hEcdSHJtttTe8yxbqcSaXa61VBkczweSh+YRk2nIwleMoK8Va+5nUgkq3h++J5wn57g8RCd+xROmzZuRxIRNxQUkFiwiMQeexEaPBDvh393O5FIs1PjJbIlfn9qnqHf7pGad+ijD91OJJIVrNIYoX698Py0lujshSR3/63bkUTETZEI0bmLcEIhwv174fn6K7cTiTQrNV4iW8GJtCI6b3HqYNHvLB0sRLakpobQeQPxffoPojOfJH7wIW4nEpEMkNxxJ6LzFmNVVRHu2xNrw3q3I4k0GzVeIlspueNOROc+hVVZqYOFyOYkkwQvHUH+qlcpnfwAtced6HYiEckgib33IfbEXLz//pLwoL6aM1NajAYNrmGMKQRmAdsDpcC5tm2v3eg9k4DOdft42Lbt6caY1sBnwEd1b1ti2/a9DQ0v0twS++xL7Im5hM/uQXhgH0oWPQOFhW7HEskoxTeNxb94EWVjb6K6T3+344hIBqrtdCSxKdMJDT+P0MhhxGY8odFOJec19IrXSOBD27aPAp4AxtZfaYw5FtjDtu1OpJqvq40xrYCOwFzbtrvUfanpkqxT+4fOxKZMx/fO24RGDIVEwu1IIhmj8KEHKJr6ABXDLqDyksvdjiMiGazm9DNTEyw/t5TAVaM1wbLkvIY2Xp2BFXXfLwdO2Gj9X4Ahdd87gBeoBQ4BOhpjXjPGLDTG7NDA/Yu46r8Hi+XLdLAQqVOweCGBG6+l+rQelN86QRMki8gWVQ4fScWoKyh88lGK7rjN7TgiTWqLtxoaY4YCG5+2/AGI1n1fCoTrr7RtuwqoMsbkAY+TutWwzBjzKfA327ZfNMYMAO4HetXfNhAowOfLrEvNXq+HSETzzshG/ngFieh6CifeQf5vdiB58y1bvalqStLN7ZqyXnoR7yUjSB59NJ7Zs4j4/a5lkfRwu6Yk92yypiZOIBnbQPHdE/HvshPJCy9q/nCSlbLtc2qLjZdt2zOAGfWXGWMWA8G6l0GgZOPt6m4tXAS8atv2+LrFLwMVdd8vAf7nN9Wysuqtzd5sIpEiSkoqtvxGaXmuuJbAf76jcPztVAbCVA4fuVWbqaYk3dysKd97fyPcqxeJPfaiZMYsnKokVKm+s50+pyTdNltTt91J6LsfyL/8MsqLw1Sf0bN5w0lWysTPqbZtg5tc19BbDVcDp9R93w1YVX9l3eAbLwEzbdu+td6qR4Cz6r4/HvhbA/cvkhksi7JJ91Dd7VQC111NwVML3E4k0qy8n39GuN9ZONu1ITp/MU444nYkEclGPh+xaTOpPbwTwQuHk/faK24nEkk7y2nAsynGmCJStxDuANQA/W3b/t4YM5HUVa4jgRuB9+ttNrjuz5mABZQDw2zb/q7+z167tjTjHpbJxG5aMkzdfCR5b79JdNb8LQ6frZqSdHOjpjz/+YZI9xOxamvZsPR5TZCcY/Q5Jem2NTVlRUuInN4Nz1f/JrpkGfGDOjZTOslGmfg51bZtcJMPODeo8WpKarwkW1mxKOEe3fH9cw0li54hfuhhm3yvakrSrblrylq3jsjpXfF8/z0lTz9HYv8Dmm3f0jz0OSXptrU15fn+OyKnnoRVUU7JspUkdt+jGdJJNsrEz6nNNV6aQFkkTZxQmOi8xSS3b0d4QG+89qduRxJpElZZKeH+Z+H9+itis+ar6RKRtEq234Ho/MXgOITPPhPP999teSORLKDGSySNnO23p2TB0zh5+YTP7oHnm6/djiSSXtXVhM4dgO/vHxCb/ji1nY50O5GI5KDEb/ckOvcprHXrCPc+A2vdOrcjiTSaGi+RNEvuuhvR+UuwystTB4u1a92OJJIeiQShkcPIX/Uqpfc8SE3Xbm4nEpEcFj+oI7FZ8/H++0vCfXtilcbcjiTSKGq8RJpA4nf7EZ21AO+3/yFydg+skg1uRxJpHMchcNVoCpb9ibJbbqe6T3+3E4lIC1B75FHEZjyB7+MPCQ3sAxWZ9TyPyLZQ4yXSROJHdCL6+Fy8n9uE+52FVVbqdiSRhnEcim8aS+GTj1Ix6goqR1zsdiIRaUFqTjyZ0inTyXvzDUJDB0FNjduRRBpEjZdIE6rtchyx6Y/je/89QoP6QmWl25FEtlnRxNspeuh+KoeeT/m1N7gdR0RaoOoeZ1F2570UvPQCwQuHQyLhdiSRbabGS6SJ1XTrTukD08h743VCQwbqTJ1klcL7JlN81x1U9h9E2W0TwdrkKLkiIk2qatB5lN10G/5nlhC4chRk2JRIIlviczuASEtQfdbZWOXlBK8cRWjkMJg/z+1IIlvkf2QqgXE3UtWzF2V33QcenasTEXdVXngJVixK8d0TcQJBym+5XSeEJGuo8RJpJlXnDMYqLydw47UkLzgfJukXWclc/jlPErz2KqpP7k7p/dPA63U7kogIABVXX4dVGqNo2oM4gQAVV1/ndiSRraLGS6QZVY68GKuslOJJ4wnkFVA2/k6dqZOMU7B4IYHLL6bm2OOJTX8M8vLcjiQi8v8si/JbJ2CVl1N81x2Ql0fF6KvcTiWyRWq8RJpZxZVj8MerKJw8GafAT/lN49R8ScbIf3YpwYvOp7bTkUQfnQ0FBW5HEhH5Xx4PZXfdh1VbS/GEcTg+H5WXjnY7lchmqfESaW6WRXLCRGqiZRQ9dH/qzN2Nt6r5EtflvfwCofPP+++kpRQVuR1JRGTTvF5K73sIEgkC424Cj5fKi0e5nUpkk9R4ibjBslK3GToORVPuSzVfN9yi5ktck//SSkLnDSC+975E5z2FEwi6HUlEZMu8XkofmAZOksAt14PPq7kGJWOp8RJxi2VRNuGuVPP14L2p5uv6m9V8SbPLf2EFocEDiZt9iC76E0444nYkEZGt5/NR+uB0SCQJ3HAteL1UDh/pdiqR/9GgxssYUwjMArYHSoFzbdteu9F7ngG2A2qBStu2uxlj9gAeAxzgI+Ai27aTDY8vkuUsi7I77gag6IF7Us3X2JvUfEmzyX9+OaEhA4nvux/RhU/jRFq5HUlEZNv5fJQ+9AhWIkHguqtxPF6qhp7vdiqRX2joWNYjgQ9t2z4KeAIY+yvv2QPobNt2F9u2u9UtuxsYW7edBZzRwP2L5I66K1+V5w6l6P7JFI+7SZNCSrPIX/Fcqunab//UlS41XSKSzfLyiE2bSfXJ3QlecyX+x2a4nUjkFxp6q2FnYGLd98uB6+uvNMa0AyLAUmNMBJhg2/Yy4BDgtXrbnQQsqb9tIFCAz5dZ88V4vR4iET1kLunzqzU17SESBT6K7p9MgT+P5LjbdOVLttq2fk5Zf/oT3qGDcA46CJ5dTjii2wvll3Tsk3RrnpoqgkULSfY5m+BVl1Pk95EcodsOc1W2fU5tsfEyxgwFLt9o8Q9AtO77UiC80fp84C7gXqA1sNoY8zZg2bbtbGY7ysqqtzp8c4lEiigpqXA7huSQTdbULXcQqKqlcNJEqqvjlF93o5ov2Srb8jmVv+yZ1OiFBx5EdO5iHPJBn3GyER37JN2ataamPkpo+HkUXHoJlT+VaLTDHJWJn1Nt2256cKotNl62bc8AfnGt1hizGPj5pwaBko02+x6Yatt2HPjRGPMeYID6z3P92nYiLZvHQ9nEume+7rsbKsopH3cHeBp6V7DIL+UvfZrQ+YOJH3wI0fmLcYIhtyOJiKRfQQGxGU8QvPh8Ardcj1VRTsUfr9HJTHFVQ3+bWw2cUvd9N2DVRutPABYAGGMCwH7AJ8B7xpgum9lORDweyiZNpmLExRQ9Mo3gqAshHnc7leSAgoXzUk3XIb8numCJmi4RyW15eZROeYTK/oMovnMCxTdfr2eoxVUNfcbrIeBxY8zrQA3QH8AYMxFYZNv2cmNMV2PMm6Sucl1r2/ZPxpgrgOnGmHxSjdiixv8VRHKQZVF+8204oRDFE2/HKi8n9tAjUFDgdjLJUv5HphK89ipqOh9N7Im5mqdLRFoGr5eyu++HwkKKptyHVVGemspFd5KICywnwzr/tWtLMysQmXn/qGS3bampwoenEBg7hppjjyf66Gwoyp6HSKX5bLKmHIeiOydQPGk81d1OJTZtJvj9zR9Qso6OfZJurtaU41A87iaK7p9M1dn9KL3nQfBpOttsl4mfU23bBjd5P6sqTiTDVZ5/IU4gSGD0JUT6nEl09gKc0P+MSyPyv5JJiq8fQ9H0qVT1HUDp3ffrFw0RaZnq5sl0iospnjAOqqoonTId8vPdTiYtiI7AIlmgqv8gkoEAoZHDCPc8jei8xTht2rgdSzJZbS3Byy7Cv3AeFRdcSPnNt+vWGhFp2SyLitFX4RQVEbjhWqzyMmKPPAHFxW4nkxZCR2GRLFFz+pnEnpiL77NPifTohufb/7gdSTJVVRWhoYPwL5xH+ZixlN8yXk2XiEidyhEXU3rXfeS/8hKRnt2x1q51O5K0EDoSi2SRmuNPIjp/CZ5vvyXS7Xi8H3/kdiTJMFZpjHC/syhY8Ryl4++kYvRVGj5ZRGQjVYPOI/bYHHyffkKr7ifg+ecXbkeSFkCNl0iWqe10JCVLnwcgclpX8l55yeVEkik8331L+IxTyHvzDWJTplM19Hy3I4mIZKyak0+h5KmlWKUxWp16Ir5333E7kuQ4NV4iWSjxu/0oWf4SyV06EB7Qm4K5s9yOJG57/30iJx+H91//JDZrPtW9+ridSEQk48UPPYySZ1/AKQ4Q6Xkq+SuXux1JcpgaL5EsldxxJ0qWrqC289GERl1I0YRxmhiyhcp/YQW+Y48By6Jk6fPUHH+S25FERLJGYvc92PDsi8T3NITO6Yf/ycfcjiQ5So2XSBZzgiGisxdS2X8QxXdPJHjxBVBT43YsaUb+GdMIDeoLexlKVrxMYr/93Y4kIpJ1nO23p2TJs9QcezzBKy7VyUxpEmq8RLJdXh5lkx+gfMxY/AvnEe53Fla0xO1U0tQSCYqvu4rgNX+k5qSTib/8Csn2O7idSkQkewUCxJ6YR2W/gamTmSOGQEVmTc4r2U2Nl0guqJubJPbANPLefINI9xPx/nON26mkqZSVETqvP0XTp1JxwUXEHp2teWhERNIhL4+yex6k7LobKXh6MZHTuuL55mu3U0mOUOMlkkOqz+6XGm7+p7VETjpWDwnnIM83XxM5oxv5LzxP6YS7KL91PHi9bscSEckdlkXlqCuIzZqP98t/0eqkY8j7y2q3U0kOUOMlkmNqOx/NhpWvkeiwK+GBfSiaNB6SSbdjSRrkvfISrU44Cu+X/yI2az5VQ4a7HUlEJGfVnHgyJc+/QjLSivBZp+F/9BE99yWNosZLJAcld+lAybKVVJ3dj+JJ4wmd2w8rFnU7ljRUMknR3RMJ9+1Jsl17Sl54lZoTurqdSkQk5yX22JOSFS+nBt24ejSBK0dpECtpMF9DNjLGFAKzgO2BUuBc27bX1lt/MjCm7qUFdAb2AwqBpcDndesesm17fsOii8hmFRZSev9Uag86mMAN1xLpeiz/196dh0dV3m0c/57ZkkwSkqCIu4CVp1bc+yqyyCYIuCtuVMWKVK2trUutC1bfV/pWq4IiFa1KWURtba0KCIgLiyBiQS1SeHCtWBXFJGSdffrHhBoshhBmODOT+3Ndc3nOmTlzbpzflTO/mec5UzP1ceLmu24nkx3gVFdReuWPKFgwn9BZ51B7932azyUisgslO5RRM/1Jgnf+muJ778Zn17F5ymMk99jD7WiSY9r6jdcVwGprbV9gOjC2+Z3W2nnW2v7W2v7AbOBOa+1a4Chg/Jb71HSJZJjjELr0cjY/PRvP5s1UnDiAwKxn3E4lreRb/TYVJ/QjsPBlau+4h9oHHlbTJSLiBq+Xhpt+Rc3DU/G983cqBvXBv3ih26kkx7S18eoDzGtangucsK0HGWP2BS4E/rdp09HAScaYxcaYR40xpW08vojsgGjPXlS9tITYwQdTNvoiim+5AUIht2NJCwqeeIzy4SdALEr1s3NT87kcx+1YIiLtWvi0M6ma8yLJDh0oO/s0isfdBtGo27EkR2x3qKExZjRw9Tc2bwS2TBipBcq+ZfdrgAnW2nDT+grgEWvtSmPMzcCtwHXNdygpKcDny64rdHm9HsrLg27HkDziSk2VfwcWLiJ+/S8ITn6AoqVLiE2bDofqB3ezSk0N3muvwTNtKomBA0nMmElJp07b3U1/pyTdVFOSbnlTU72PIbniDZLXXUtw4ngKX1tCfMZM6NbN7WTtTq7VlJNsw9VZjDFPA3dYa1cYY8qApdbaHt94jAdYBxxurW1s2lZura1uWv4ecL+1dlDz/b78sjbrLhdTXh6kulo/oCfp43ZNBRbMo/RnV+LU1lA/9jYax1wBHl1rx23+15ZS+tPL8XyygYafXUPD9Te3+lLxbteU5B/VlKRbPtZUYNYzlF5zFcTj1P12POER57odqV3Jxprq1Kn0W4entPXLj3ZcAAAPWklEQVSd1lJgeNPyMGDJNh7TA1i3pelqMt8Yc0zT8iBgZRuPLyI7ITJ4KJWLlhM5vj8lt9xI2bln4Pn8M7djtV+hEMW33kzZ6cPB46H6ufk03Pgr/T6XiEiWi5xyOlWvLCV+SA86/HgMpT+5DKeu1u1YkqXa2nhNBg4xxrwK/IimOVzGmN82a6wM8ME39rsCuNcYsxDoDYxr4/FFZCclO3Wi5rE/UXvnePwrllPR/zgCc2a5Havd8f39LSqG9CM4+X5Coy6h8uWlxI451u1YIiLSSol996P6r3Oov+4GCv78R8oH9cX3+nK3Y0kWatNQw0zSUENpD7Ktprzvrqf0ikvx//0tGkdeSP1t40iWV7gdK7/FYgQnjid49x0kdtud2vt+R3Tg4DY/XbbVlOQ+1ZSkW3uoKf/yZZT+eAzeTzbQOGo09WNvJVlW7nasvJWNNZWJoYYikkfiB3Wn+vkXabjqGgqfnEnHXkdT8ORMyLIPZvKFd807lJ8yhOI7xhE+5TSqFi/fqaZLRESyQ7RnLyoXv07DZVdSOOMPVPQ5hsCsZ3U+FUCNl4hsEQhQP/Y2qhYsJn5AVzpcdQVlpw/Hu26t28nyhrO5muKbfkHFoD54P/yAmoemUPvQH0hWdHQ7moiIpEtJCfW3/4bq+a+Q2KMzZaMvpMOo8/H86xO3k+UNp6qS4F2/wXltmdtRdogaLxHZSvzQw6ies4DaeybiW7uGioG9Kb79Vqivdzta7kokKHx8Bh2PO4qiKQ+n5nK9torwGSPcTiYiIhkSO/xIque/Qt1tvyaweCEVfY6h8JEHIR53O1ruikYpfORBOh57BMF77oSP/ul2oh2ixktE/pvHQ+jCi6lctorwiHMJ3j+Bjn2PITB3jtvJco7vzZWUDx9E6c+vJN71QKoXLKLuzvH6lktEpD3w+Wj88U+pXLSc2LE9Kb3pesqHDsS/eKHbyXKO/+UFVAzoRelN1xM79HCqXnqV5Pnnux1rh6jxEpFvldx9d2onTqb6uXkkS0spG3U+ZWediu+N192OlvWcTZsoufYqyocOxLthAzWTHqJ69gvEDj3c7WgiIrKLJQ7owuYn/kLNg4/i+WoT5SNOpezs0/C9/abb0bKe9931dBg5gvLzzsKJRNg87Qk2//k54of02P7OWUaNl4hsV7RnL6peXELd7b/Bt/YdKk4aTIeRI3TC2Abnyy8pvv1WOv7PYRQ+8RiNl11J5fJVhM85H5xvvdCRiIjkO8chfObZVC5bmTqfrn6bisH9KL10FN7333U7XdZxNm2ieOwvqejXE//ry6m7dRyVS1YQGXZSzp5PdTn5VsjGS1VKbsvpmqqro2jK7wlOuhdPdTXhYSdT/8ubiX/vELeTucrZuJHg7+6jaPoUaGwkfPqZNFx7A/HuZpccP6drSrKSakrSTTW1Nae2hqIH7ic4eRKEQ4RGXkTDL24gsedebkdzlWfDxxRNvp+imdMhHCb0g1HU3zCWZKdO//XYbKypli4nr8arFbLxRZXclg815dTWUPTQAxRNnoRTV0v4tDNouO7GXdZoZAvPZ59SNOleimZMhUiE8Fnn0PDz64gf1H2X5siHmpLsopqSdFNNbZvzxRcE772LomlTwOcjdO5IGkdfRtx81+1ou5R33VqCk+6l4OmnAAiPOJeGn/y8xfcV2VhTarx2Uja+qJLb8qmmnKpKiiZPIvj7yTgN9UT6DaBx1GgiJw4Dv9/teBnjtesoevQhCh+fAYkEoXPOp+Gqa0h0O9CVPPlUU5IdVFOSbqqplnk++pDghLsofPopnHCYyPEDaBxzOZEThoDX63a8jPH9bQXBiRMomDeHZDBI44UX03j5T0jss+92983GmlLjtZOy8UWV3JaPNeVs2kTR9CkUzpiK91+fEO+8J6EfXETowotb9cczFzi1NRQ88zSFj0/Hv/JvJP1+QuddQMNVV5M4oIur2fKxpsRdqilJN9VU6zibNlH02FQK//AI3s8+JX5AFxpH/4jQ+ReQLCt3O15aOJurKZj1LIVPzsS/YjmJigoaR19G4+jLSO62W6ufJxtrSo3XTsrGF1VyW17XVDxO4KUXKJw2hcCLL4DjEBl8IqFRlxAZcELufWqXTOJfvozCx2dQMOsZnIYGYua7hEZeRGjEudscc+6GvK4pcYVqStJNNbWDolECc2cTfPhB/K+/RjJYTOjMEYRPOZ1o774QCLidcMdEIgRefpHCp54k8MJcnHCY2IHfITTqEhovuBhKSnb4KbOxptR47aRsfFElt7WXmvJ8/E8KH5tG0czpeL78gkTHjkQGDSEyZCiR/gOz95O7eBzfmysJvPISBX/5E74P3idRUkr4jBGERl5A7KjvZ90VldpLTcmuo5qSdFNNtZ1v9dsUPfwgBc89g9NQT6KsnMiQoYSHn0JkwCAIBt2OuG3JJL6Vb1D41JMUPPs0nspKErvtRuiMEYTPPo/YEUft1Pk0G2tKjddOysYXVXJbu6upSITA/LkUzJtD4KUX8FRWkvT5iPbsRWTwUCJDTiR+4EGuRvRs+JjAwpcJLHwZ/+KFeDZXk3Qcoj17ERp5IeGTT4PiYlcztqTd1ZRknGpK0k01lQaNjQQWvULB87MIzH8eT1UVyaIiIgMHEx5+MtHefUnstbd7Hw4mk3jXW/yvLiaw7FX8y5bg+eorkoWFhIcOJzzi3NTolzTNAc/GmspY42WMOQM421o7chv3jQEuA2LAOGvtbGPM7sDjQBHwKfBDa+1W/7fUeEl70K5rKh7Ht/JvFCyYR+CFefjWrklt3r8LscMOJ9bjUGKHHErskB6puWEZOHk41VV416/H967Ft/pt/Itewff+e6kce+9DZMAgov0HEunbj2TH1o81d1O7rinJCNWUpJtqKs2iUfyvLU01Yc/Pxvv5ZwDE9+hM7MijiB1xFNGm/2bsXFZfj/fDD/C/8Tr+pUsILFuCZ9OmVI599iXauy+Rvv2IDDuJZIeytB8+G2sqI42XMeY+4ETgLWvted+4b09gAfB9oBB4tWn5LmCVtXaqMeYGIGytndB8XzVe0h6opr7m2fAxgQXzCSxZhG/Narwfffif+xLl5cS+1yPVhO27P4mKCpLlFSTKK0iWl5OsSC1TUADRKE59HU5DA059/dfLdbV4NmzAt34d3nfX411v8X6x8T/HSAaDRHr1STVa/QelLgOfZcMIW0M1JemmmpJ0U01lUCKB7+038a18A/+bq/C9tQrve+/iNL3Pj+/fJXUu7dyZxB7Nb3uQ6JS64fVCJIITi0IkihONpNajUZyazXg/+vDr24cf4Pnow63Op/G99yHau2+q2erVJ3XRqQyfT7OxplpqvHw78bzLgGdIfav1TccAS621YSBsjHkPOAzoA/x/02PmNi1P2Mb+ItJOJPbbn9AlYwhdMgYAp64W7z/+gW/Nanxr3sG3ZjVFM2fgNNR/63MkfT6cWKzl45R2IN69O5FBg4kfZIh3707sIENi/wNy74IfIiIizXk8xI48mtiRRxNq2uTU1uB7+y18b67C/9YqvOvX4X99GZ7Kyp06VHyvvYl36Upk0GASXbsR79KV6OFHkujSNSc/uNyVttt4GWNGA1d/Y/MPrbV/NMb0/5bdOgCbm63XAmXf2L5l21ZKSgrw+bLrTZDX66G8PEsnLUpOUk21oDwI+3aGIQP+symWSEBtLVRWQlUlTmUlVFXjVFWmttXVpSYWl5SQLCmBYDGUFKeukFRcTHKffWGvvcBx8LFznzhlK9WUpJtqStJNNbWLlQdhv6Fw8lAAkkAciEci8MUX8MVGnM8/h40bcTZuhGQyNfcqEIBAgGQgAL6m9ZJikl27QbduUFSEw9bn0iIX/nmQezW13fcf1tpHgUd38HlrgNJm66VAdbPtjc22baWuLryDh8q8bPwaU3Kbaqot/FDROXXr1obdNzemPVE2UU1JuqmmJN1UU1mkpGPq1u3gHdsvnIRw9ryG2VhTnTqVfut9ngwdcwXQ1xhTaIwpAw4G3gGWAsObHjMMWJKh44uIiIiIiGSNtDZexphrjDGnWms/ByaSaqxeBm621oaAccB5xpilwHHApHQeX0REREREJBvpd7xaIRu/xpTcppqSdFNNSbqppiTdVFOSbtlYUy1d1TBTQw1FRERERESkiRovERERERGRDFPjJSIiIiIikmFZN8dLREREREQk3+gbLxERERERkQxT4yUiIiIiIpJharxEREREREQyTI2XiIiIiIhIhvncDpDNjDEe4AHgcCAMXGqtfc/dVJLLjDF+YArQBSgAxllrn3M1lOQ8Y8wewEpgsLV2ndt5JPcZY24ETgUCwAPW2kddjiQ5qum8N43UeS8OjNHfKWkrY8yxwJ3W2v7GmO8AU4Ek8A5wpbU24Wa+7dE3Xi07HSi01h4H3ADc43IeyX0XAF9Za/sCw4BJLueRHNf0puYhoNHtLJIfjDH9gV5Ab6AfsJ+rgSTXDQd81tpewP8Bv3Y5j+QoY8z1wCNAYdOm8cDYpvdUDnCaW9laS41Xy/oA8wCstcuB77sbR/LAU8AtzdZjbgWRvHE38CDwqdtBJG+cCKwG/grMAma7G0dy3HrA1zSKqAMQdTmP5K73gTObrR8NLGpangucsMsT7SA1Xi3rAGxuth43xmh4prSZtbbOWltrjCkF/gyMdTuT5C5jzMXAl9ba+W5nkbyyO6kPGs8GLgdmGmMcdyNJDqsjNcxwHfAwMNHVNJKzrLV/YevG3bHWbvlB4lqgbNen2jFqvFpWA5Q2W/dYa/UNhewUY8x+wCvADGvt427nkZx2CTDYGLMQOAKYbozZ091Ikge+AuZbayPWWguEgE4uZ5LcdTWpeupOas78NGNM4Xb2EWmN5vO5SoFqt4K0lhqvli0lNTYZY0xPUkMvRNrMGNMZeAH4pbV2itt5JLdZa4+31vaz1vYH3gIustZ+7nIsyX2vAkONMY4xZm+gmFQzJtIWVXw9eqgS8ANe9+JIHnmzaU4qpObNL3ExS6to2FzL/krq0+RlpCbt/dDlPJL7bgIqgFuMMVvmeg2z1urCCCKSFay1s40xxwMrSH1Ae6W1Nu5yLMldE4ApxpglpK6SeZO1tt7lTJIfrgUeNsYEgLWkpnBkNSeZTG7/USIiIiIiItJmGmooIiIiIiKSYWq8REREREREMkyNl4iIiIiISIap8RIREREREckwNV4iIiIiIiIZpsZLREREREQkw9R4iYiIiIiIZNi/ATKp5/jYYANvAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Display multiple plots in one figure (2 row & 1 columns)\n",
"\n",
"plt.figure(figsize=(12,6))\n",
"x = np.linspace(0, 10, 100) \n",
"y1 = np.sin(x) # Sine Graph\n",
"y2 = np.cos(x) # cosine graph\n",
"\n",
"plt.subplot(2,1,1)\n",
"plt.plot(x,y1, \"b-\")\n",
"\n",
"plt.subplot(2,1,2)\n",
"plt.plot(x,y2, \"r-\")\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 9 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# # Display multiple plots in one figure using subplots()\n",
"x = np.arange(-50,50)\n",
"y1 = np.power(x,2)\n",
"y2 = np.power(x,3)\n",
"y3 = np.sin(x)\n",
"y4 = np.cos(x)\n",
"y5 = np.tan(x)\n",
"y6 = np.tanh(x)\n",
"y7 = np.sinh(x)\n",
"y8 = np.cosh(x)\n",
"y9 = np.exp(x)\n",
"\n",
"fig1 , ax1 = plt.subplots(nrows=3,ncols=3 , figsize = (20,20)) # Create a figure and subplots\n",
"ax1[0,0].plot(x,y1,\"tab:blue\") # set the color of the line chart\n",
"ax1[0,0].set_title(\"Square Function\") # setting title of subplot\n",
"ax1[0,0].set_xlabel(r'$X$' , fontsize = 18) #Set the label for the x-axis\n",
"ax1[0,0].set_ylabel(r'$Y$' , fontsize = 18) #Set the label for the y-axis\n",
"\n",
"\n",
"ax1[0,1].plot(x,y2,\"tab:orange\")\n",
"ax1[0,1].set_title(\"Cubic Function\")\n",
"ax1[0,1].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[0,1].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"ax1[0,2].plot(x,y3,\"tab:green\")\n",
"ax1[0,2].set_title(\"Sine Function\")\n",
"ax1[0,2].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[0,2].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"\n",
"ax1[1,0].plot(x,y4,\"b-\")\n",
"ax1[1,0].set_title(\"Cosine Function\")\n",
"ax1[1,0].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[1,0].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"\n",
"ax1[1,1].plot(x,y5,\"r-\")\n",
"ax1[1,1].set_title(\"Tangent Function\")\n",
"ax1[1,1].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[1,1].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"ax1[1,2].plot(x,y6,\"g-\")\n",
"ax1[1,2].set_title(\"Hyperbolic Tangent\")\n",
"ax1[1,2].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[1,2].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"ax1[2,0].plot(x,y7,\"m-\")\n",
"ax1[2,0].set_title(\"Hyperbolic Sine\")\n",
"ax1[2,0].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[2,0].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"ax1[2,1].plot(x,y8,\"y-\")\n",
"ax1[2,1].set_title(\"Hyperbolic Cosine\")\n",
"ax1[2,1].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[2,1].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"ax1[2,2].plot(x,y9,\"k-\")\n",
"ax1[2,2].set_title(\"Exponential Function\")\n",
"ax1[2,2].set_xlabel(r'$X$' , fontsize = 18)\n",
"ax1[2,2].set_ylabel(r'$Y$' , fontsize = 18)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"iteration Number :- 1\n",
"X1 Value :- [10, 20, 30, 40, 50]\n",
"Y value (i) :- [1, 2, 3, 4, 5]\n",
"iteration Number :- 2\n",
"X1 Value :- [10, 20, 30, 40, 50]\n",
"Y value (i) :- [10, 20, 30, 40, 50]\n",
"iteration Number :- 3\n",
"X1 Value :- [10, 20, 30, 40, 50]\n",
"Y value (i) :- [60, 70, 80, 90, 100]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y = [[1,2,3,4,5] , [10,20,30,40,50],[60,70,80,90,100] ]\n",
"cnt =0\n",
"plt.figure(figsize=(10,6))\n",
"for i in y:\n",
" x1 = [10,20,30,40,50]\n",
" cnt +=1\n",
" print ('iteration Number :- {}'.format(cnt))\n",
" print ('X1 Value :- {}'.format(x1))\n",
" print('Y value (i) :- {}'.format(i))\n",
" plt.plot(x1,i)\n",
"plt.show()"
]
}
],
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}