{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Learning Notebook: Quick examples to learn jupyter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Learning Jupyther with Python\n",
    "This cell has type \"Markdown\" so it contains text, which can be **bold**, *italic* or a Latex formula such as\n",
    "$$\\sum_{i=0}^{\\infty}\\frac{1}{i^2}$$\n",
    "You can also have bullet lists such as below. This is great for documentation or instructions.\n",
    " * To execute a cell, press Shift-Enter (you can re-execute a cell as often as you want). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello World\n"
     ]
    }
   ],
   "source": [
    "# Get the hang of it: Edit the text then press SHIFT - ENTER\n",
    "print(\"Hello World\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## String operations\n",
    "A string is a kind of list, so all list functions (index, append, +, sort) work for strings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "146\n",
      "four score and seven years ago our fathers brought forth \n",
      "      on this continent a new nation, conceived in liberty, and \n",
      "      dedicated to the proposition that all men are created equal.\n",
      "      \n",
      "(30, ['four', 'score', 'and', 'seven', 'years', 'ago', 'our', 'fathers', 'brought', 'forth', 'on', 'this', 'continent', 'a', 'new', 'nation', 'conceived', 'in', 'liberty', 'and', 'dedicated', 'to', 'the', 'proposition', 'that', 'all', 'men', 'are', 'created', 'equal'])\n"
     ]
    }
   ],
   "source": [
    "speech = '''Four score and seven years ago our fathers brought forth \n",
    "      on this continent a new nation, conceived in Liberty, and \n",
    "      dedicated to the proposition that all men are created equal.\n",
    "      '''\n",
    "# Find something\n",
    "print( speech.find('prop') )\n",
    "# Convert to lower case\n",
    "speech = speech.lower()\n",
    "print(speech)\n",
    "# Replace punctuation with spaces \n",
    "speech = speech.replace(\",\", \" \")\n",
    "speech = speech.replace(\".\", \" \")\n",
    "\n",
    "# Split the words into a list:\n",
    "words = speech.split()\n",
    "print(len(words), words)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(29, ['a', 'ago', 'all', 'and', 'are', 'brought', 'conceived', 'continent', 'created', 'dedicated', 'equal', 'fathers', 'forth', 'four', 'in', 'liberty', 'men', 'nation', 'new', 'on', 'our', 'proposition', 'score', 'seven', 'that', 'the', 'this', 'to', 'years'])\n"
     ]
    }
   ],
   "source": [
    "# Only select each word once\n",
    "words = [] # Empty list\n",
    "for word in speech.split():\n",
    "    if not word in words:\n",
    "        words.append(word)\n",
    "\n",
    "# Sort the words \"in place\":\n",
    "words.sort()\n",
    "print(len(words),words)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Catching Errors\n",
    "You can try code and catch (or silence) errors:\n",
    " * Run the code\n",
    " * Fix the error and run it again\n",
    " * Break it again then uncomment the last line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "You should not do that\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    x = 1 / 'a'\n",
    "    print('All Good, x=%s' % repr(x) )\n",
    "except TypeError, e:\n",
    "    print('You should not do that')\n",
    "    #raise e # UNCOMMENT THIS to raise an error"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run external code, use external functions\n",
    "Select the textstats.py function and run it to use the textstats() function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/berthoud/edu/outreach/programming/python/textstats.py\n"
     ]
    }
   ],
   "source": [
    "# Select File Dialog\n",
    "import tkFileDialog\n",
    "codefile = tkFileDialog.askopenfilename()\n",
    "print(codefile)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "path = /Users/berthoud/edu/outreach/programming/python\n",
      "name = textstats.py\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import sys\n",
    "import importlib\n",
    "# Split the filepathname into path and filename\n",
    "codepath, codename = os.path.split(codefile)\n",
    "print(\"path = %s\\nname = %s\" % (codepath, codename))\n",
    "# Add the folder to sys.path: sys.path is where python finds packages to load\n",
    "sys.path.append(codepath)\n",
    "# Import the code\n",
    "textstats = importlib.import_module(codename[:-3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total text length is 196 characters\n",
      "There are 9 words with 5 or more characters\n",
      "    These words have a combined total of 72 characters\n",
      "Number of words is 9\n"
     ]
    }
   ],
   "source": [
    "# Run textstats on the speech\n",
    "wordcount = textstats.printstats(speech,5)\n",
    "print(\"Number of words is %d\" % wordcount)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Text and Data from File"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "It was the best of times, it was the worst of times, it was the age of wisdom, it was the age of foolishness, it was the epoch of belief, it was the epoch of incredulity, it was the season of Light, it was the season of Darkness, it was the spring of hope, it was the winter of despair, we had everything before us, we had nothing before us, we were all going direct to Heaven, we were all going direct the other way—in short, the period was so far like the present period, that some of its noisiest authorities insisted on its being received, for good or for evil, in the superlative degree of comparison only.\n",
      "\n",
      "Total text length is 614 characters\n",
      "There are 32 words with 5 or more characters\n",
      "    These words have a combined total of 242 characters\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "32"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Open a textfile (select TwoCities.txt) and read entire text\n",
    "text = tkFileDialog.askopenfile().read()\n",
    "print(text)\n",
    "# Run textstats on it\n",
    "textstats.printstats(text,5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Formatted Data From File\n",
    "Open a file and load data from it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17-06-01 00:01:01\t43.3\t0.000\t18.6\t27.5\n"
     ]
    }
   ],
   "source": [
    "# Get filename\n",
    "filename = tkFileDialog.askopenfilename()\n",
    "# Open file as read text\n",
    "infile = file(filename,'rt')\n",
    "# Read all lines in file (print top lines) - use list comprehension\n",
    "lines = [line.strip() for line in infile if len(line) > 5]\n",
    "print(lines[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['text', 'e']\n",
      "`%matplotlib` prevents importing * from pylab and numpy\n",
      "  \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x113132d90>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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KIjYKAJGgK1dTc8BDru8Sfy1NvS4FUR0KAJFI9dsEVEMJkNBpANFRAIhEqn8A1E4CJHUi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111c4b650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get data into numpy arrays / lists\n",
    "import numpy as np\n",
    "%pylab inline\n",
    "light = [] # light value is 4th word\n",
    "for line in lines:\n",
    "    words = line.split()\n",
    "    light.append(float(words[3]))\n",
    "light = np.array(light)\n",
    "# Plot raw data\n",
    "plot(light)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/ipykernel_launcher.py:5: RuntimeWarning: divide by zero encountered in log10\n",
      "  \"\"\"\n",
      "/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in log10\n",
      "  \"\"\"\n"
     ]
    },
    {
     "data": {
      "image/png": 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JPs9R01LHdirMc2qliKyHGVTqPBHJfWbY+uyTiAyCab1xB0zf+uGFliciBrZEiSEiQ6wa\nwwdg+urYD9HBMLUF7SJyPIAvOP5sE4A0TP8hOJbfATMwyj4AflxOuqxmVi8DuE5E+okZSOgieNd+\neBKR/QE0OZrhAWYE0J+LyGhr4I8zYALYh62/+biIHGS9jLXA1Iz2AJgOoEVEfipmEJo6ETnSKijI\nt/0vicgoVU3DDAACa11uTUkB4AoRGSAiR8D027RHK70NwDViTcshIqNE5NwCu+523vLycQ5mwzS7\nHG4Fk993/PkrMC9y3xMz8NKnYfqG2nKbXP8NwDet2kyxAv2zrZd6r3XNAXCEmClE+sE0yXb6mL0t\nq8bvIZjjNtg6dj+EaWFg79MHRWRfq4bospx1bYD38XsSwCEicoGYwYMaROS9InKY9X2he+teAGeI\nmV6lXkRGSM5UKHmcDGCuqrbkfP5jERlmBR2XIHuk21z3A/iBiOxvvfxeC9NftBvmPjhHzHRCjTC1\naF4v+INh7pUdYgYh+pbH8lF5CGaAoWFW3pWpycyTVwDAxVZeMRwm2HEe18dg+lVfguwgL+j7L688\n6f4LgMNggqXcrgn/AXCkiJxn3UNXwlxPi6z11Vmf1wNIWenJbeFyAUzLiEItDgDTj7MH5n5uEhH7\neE+2/r8TwKes+7kBZqTmaaq6re+q3Fl50hdhRg6+QVW3wLTUaII5D91iBulyDjC4AcCInJphP9dw\no3U87H91KONeEpHTYM7xeao6PWdbt8MUOBxt/bsNpvDio3kOhVt+dTOA19VMhzXeWkeh5YlqHgNb\novh7QkRaYWqIfgbTJ/Yrju+/DeBqa5krYV7+AGSaTl0D4CUxTS3fB/NwPgamr9R4mMEyyvV5mNLp\ntTAvXr9Q1dwaqVK49WO9GuYlchqArQB+A+CLqjrf+v5gAM/CBO+vALhVTV/JHpgA+GiYvmCbYfrB\nFWo2dyaABSKyA+Yl43yryV2+UZpfgGkG/RzMQB/21Bc3w9T8TbLO06swgy+5ynPevBQ6B3fDBJXL\nYfqqZV7urb5jn4YZHGcrTL9W5zWRta+qOhOmn+0t1vJLrL/1XJeaKXyuhjk/b6O31QHEjPK9w6op\nsn0XpmZ2qbXsfQD+Ya3rGWs/5sIMCvZkzvG4GaYf81YRye2LaaenFeaF+XzruK2HqZlvshYpdG+t\ntI7Nj2CaT85Gdr/JfPJdO/+19mM2zH1ZaEqvf8Cc06kw13I7zLGCmj6s34UpAFsH02x0I0w/6Hz+\nDyZob4UpuCgUVEfpagCrYfb5WZjAw94vt7wCMNfMJJhraCmAzOjgVtD4CEyLD+d1GvT9V0hWuq0C\nnG/A5FPrpbdp8BettG2C6R97Dcw9dgKyxwm4AKaJ8F9gClF2wZxTp/+Bqa0uyLqfP2ktvw1moKVP\nWp9DVSfDFBaMh7nGDkJ24U8hc6x8dQnMQFc/UNUrrfW2AvgezP221Vrn4450LYIJSJda52dv+LuG\nF8AcD/vfV1DevXQFzPNjguM8PWX9bZuqrrf/wTyP2u2WL2LNKexI2x0ADrf25zGr4PNMmO4PgCnU\nO8a+DuAjfyOqRfZofkREsSMiE2AGfwl9/lS/xPSLWw/gQDUD51QtEdkDJtDa26V2Ouht/QTASFX9\nSZjbiZqIvAngM6r6puMzhWlCuSSE7Q2CCUoOVtVlQa8/SiLyLZjCplPc8goRWQ4zcuyzBdZxJYBD\nVPVLoSfYffuxy+PIXTXfS0TVgjW2RBRnU2CmQYmT4QCuqPag1jIUwA/DDmoty2GaNlYtqznjv5xB\nbUjbOcdqEj8Qpp/iPJjjm2gispeInCSmC8K7YGrL/2N9PQVF5hVW8+SLYJqNRmUK4pfHkaVa7yWi\nasUaWyIioggFXWMrIn+HmapEAMwE8G1VfSuIdUfJaqY7Hqbp8DaYJqKX2U1jXZZfjjw1tiLyNZiB\nee5W1W/mfk+lE5GTYaaA6kNVC42GHTvVei8RVSsGtkRERERERJRobIpMREREREREicbAloiIiIiI\niBKtPuoElGPkyJE6duzYqJNBREREREREIXj99dc3q+oor+USHdiOHTsWM2fOjDoZREREREREFAIR\nWeFnOTZFJiIiIiIiokRjYEtERERERESJxsCWiIiIiIiIEo2BLRERERERESUaA1siIiIiIiJKNAa2\nRERERERElGgMbImIiIiIiCjRGNgSERERERFRojGwJSIiIiIiokRjYEtERERERESJxsCWiIiIiIiI\nEo2BLRERERERRWZnRzfWbNsVdTIo4RjYEhERERFRZM6//VWcdP3kqJNBCcfAloiIiIiIIjNvzfao\nk0BVgIEtERERERERJRoDWyIiIiIiIko0BrZERERERESUaAxsiYiIiIiIKNEY2BIREREREVGiMbAl\nIiIiIiKiRGNgS0RERERERInGwJaIiIiIiIgSjYEtERERERERJRoDWyIiIiIiIko0BrZERERERESU\naAxsiYiIiIiIKNEY2BIREREREVGiMbAlIiIiIiKiRGNgS0RERERERInGwJaIiIiIiIgSjYEtERER\nERERJRoDWyIiIiIiIko0BrZERERERESUaAxsiYiIiBJIVfHLJxZg4bqWqJNCRBQ5BrZERERECTR9\nWTPufGk5Pnbzi1EnhYgocgxsiYiIiBKoeWdn1EkgIooNBrZERERECdSvsS7z88X3zYowJURE0WNg\nS0RERJRATXW9r3Hj566LMCVERNFjYEtERESUQBp1AoiIYoSBLREREVECSdQJICKKEQa2RERERAnU\no6yzpeqivKapDAxsiYiIiBIozRiAqgzjWioHA1siIiKiBEozsiUiymBgS0RERJRAPQxsqcrwiqZy\nMLAlIiIiSiD2sSUi6sXAloiIiCiBONAOVRte01QOBrZERERECdSTjjoFZNu6sxN3v7qCgRlRhBjY\nEhERESVQmkFUbPzwodm44rH5eHNdS9RJSbSdnT1RJ4ESjIEtERERUQI5A9vD9xoSYUpoa1sXAKCj\nm9Xo5fjgb56POgmUYAxsiYiIiBLIGdiy7jZaKTH/cwqm8mzf1RV1EijBGNgSERERJZCzjy37dkYr\nJSayZVxbGrtggKgcDGyJiIiIEoh9bOOjN7DlOSkFCwQoCLEJbEWkn4hMF5E5IrJARH4ZdZqIiIiI\n4qqtozvqJJAlZb1RM7Alik5sAlsAHQBOU9WjABwN4EwReV/EaSIiIiKKpZff2ZL5mfFUtOwaW56H\n0uyzW/+ok0BVIDaBrRo7rF8brH/MHoiIiIhcTHpzQ+Zn5StTpNgUuTwfPGQUAODY/YZFnBJKstgE\ntgAgInUiMhvARgDPqOprLst8XURmisjMTZs2VT6RREREEWlp78JONj8lF9vaOJpslKy4Fh1dnO6n\nHD3sbEtliFVgq6o9qno0gNEAjheRI12WuV1Vj1PV40aNGlX5RBIREUVk3FWT8N5rno06GRRDG1s7\nok5CTbNrbL9z/6yIU5JsrPGmcsQqsLWp6jYAUwCcGXFSiIiIYqWtsyfqJFBMNNRxjpS4sKeraWeN\nbVlYY0vliE1gKyKjRGQ36+f+AM4AsCjaVBEREcUD5ykliq86TsQaiLQCre1deGExuxtS8WIT2ALY\nC8DzIjIXwAyYPrZPRpwmIiKiWHjx7c2Znx+YvjLClBBRri07O6NOQsKZgrt0WnHOn6bhwn9Mx6rm\ntojTREkTm8BWVeeq6ntUdZyqHqmqV0edJiIiorhwNkG+9NF5EaaE4iJfJf7qrW346cNz0dXDZrGV\n0trOQd2C0KOK5VtMQPvorDURp4aSJjaBLREV1szSYKJIbWhpx9hLx+P1FVsj2X5jfXZTx7GXjsf2\nXRwJl/r6ycNz8eDMVXhtaXPUSakZpx+2e9RJqAppRx/bm55djG4WzlARGNgSJcDsVdtwzK+ewVk3\nv8iBFYgi8urSLQCAq598M5Lt16f6PrJXbmFTPerLnnqGc9tWzoiBjVEnoSr05DRDaOviYHnkHwNb\nogSYscyUur+5rgV/mbIk4tQQ1aYRA5sAAAMb6yLZfkNd30f2oH71EaSE4k5gIluON1Y59jGn8vSk\nFQeMGpj5ndcwFYOBLVECOPvW/XbS4ghTQlS77ArTqLoFuE3t0tHN2gzqq7fGligZ7AA2ndas2m/2\nE6diMLAlSoCNre1RJ4Go5tVZ0cKi9a2R9G2td6mxfXvDjoqng+JPxK6xZWhLyaIADtljcOb37h5e\nw+QfA1uiBLj3NU7tQRQ15zyV101YWPntS98a2+/e/0bF00Hx4fXKz5CAksiZ1c1fsz26hFDiMLAl\nIiLyIeUIbDu6K988ziWuJXKVuVQZ2VICORsa3PXK8qiSQQnEwJaIiMgHZ41po0uzYKK4sK/UNJsi\nVwwLnsKx7/ABUSeBEoRPZiIiIh+cTZGdtbdEcSOMsiqurkJ5QvPOTqzZtqsi26qkfGUwh+452P0L\nIhcMbImIiIo0fGBD1EkgctXdk8bWNjNyNytsK8cZ1q7YsjO07Zxw7bM46frJoa0/LhrrTYjCMUao\nGAxsiRLgktMPjjoJROQwoDHa+WPvueiEzM/XPbUQre2VH6WZ4unnj83HGyu3AWBT5KiEOSVYV42M\nEjzEmqN70fpWtHdxWjPyh4EtUQKMGNTovRARVTVnjPKBg0dmfv7rC0vxO85vXZPcpvMZP3dd7/eV\nTEyNq9Sx7t9QZ7ZXQ4UWh14xMeokUEIwsCUiIkq4rp7Kj9JM8VdDsU+shHnYd1m1l+u2V9f89upy\n1B799vsjSAklGQNbymtjazuueGw+uvnCRESUJW61JRwriNzF6zql4HRGMOVYJTiz1mP2HYbPHz8G\nALCtLbzm3VQ9GNhSXpc+Mg93v7oC4+et816YiKjKxSWW/fv/HNfnMwEjW+orLtdsLaj0sa7m/tPO\nPXvv2OEAgBnLt0aTGEoUBraU14iBpl9na3t3xCmhKn5+ERFRSO6bzhFlo1CJZ3alpheKjtk/O7B9\nYfHGKBNDCcHAlvIaMagJALB9F0fbjNrK5rbMzweOGhhhSoiIKCkWrmuJOgkUklpppTFm+AAAwPw1\nvJbJGwNbymtofzNPIwPb6N0xbVnm50H9OH8mUdTi1oqCfWxrk9dlmK7wdbpySxuuf2pR7PqgU/wV\numQOGDkQbZ1sPUjeGNhSXrsNMAHUovWtEaeEoqCqeHTWanR0c/44IsB91M5a2j6Rlw/e+Dxue+Ed\nvL1xR9RJqTgt8BuV5/j9h2NbGytZyBsDW8qrX4O5PLbs6Ig4JRSFyYs24ocPzeH8mEQx41Y7ywpb\nihNOP0VBGjawEVvbOtkSgDwxsKW87PyjpZ2lZHFSqRdY+7xvbKmuufKIgsDXK4qtGJRysHYtfLXU\ngmNwv3p09SivK/LEwJY8dXXXTuYZlJb2Lvz5+SVIh9DB6aDdBwW+Tjf2wBSV7qNFRMV7ZNaaqJNA\nMRRVjPvjf8+JaMvRcdYmsmKxPLnHb2BjPQCgmXPZkof6qBNA8ccO+8Ubd9UkAMA+u/XHJ9+zT6Dr\nbqyvTHmU3dyRz2ciI84vqzs6mE9TX/V10YS2a7ezpQ8VJzd7dXa5GD2sPwBgB6efJA+ssSVPu7o4\neFCpWqugGTf7tBARxZNX9nzRB/avTEIK2Nhae0FuVw+fm6Vya2I9qMnUw90+dWmlk0MJw8CWPDGD\nLl2Sj5xYxaVJ3geisERR3sMyJvLFcZ30a6iLLh0Axs9dh+OveQ6vLt0SaToqbctODroZpAarpdr4\neet8Lf/7SW/h8v/MCzNJFFMMbIlClOQX0ZTdDCjB+0BUjThnLSXFGyu3AgCeW7gh4pRQkm3fVVzr\ntz9OXoL7XlsZUmoozhjYUl5JDsri4hePL0BndzKnPegdPIoXAlEcPXbxSVEngaggu6btby8uizgl\nlSVxGJq6mvA1hHxiYEu+9HBo3JI9OCOZpYaZwaN46okAZL9bxWGqjXfvMzTqJBAVtHVn7Yxi63xW\nVqJVRbU9mwvtTyfnRSafGNiSLxxAqnQPv746sHVVsgmivaluFmoQxVKKlUIUY+m04oEZqzK//+eN\n4J6FVFuS2vKNKo+BLfnCKX9KN2f19kTWeNtB9LPsG0UUS8LOtuRGXH+suNxath88WDtz2/LOLFf2\nO9PRY3ZS02T1AAAgAElEQVSLKB2UNAxsyZf2TpaWlePRWckrqeZLMxERlaqjq7beG5zdE/j4LJ/z\nEI4ZPgCfOGpvjB0xILL0VJtdnT2JrHTxwsCWfGH/hvLcMS15A2fwuUyUzTmncyTT/VR+k5RwUV4z\nHT3swkT+eY1bUF8nnH4yQIddORE/emh21MkIHANbysuZfXQxsC3Z/iMHYtH6VjQnbBAN1tgSxRNH\nXKW4GjO8f+bn2u4XyXs0aA2pVFXWMEbpsdlro05C4BjYki8MbEt34Yn7AQBueGpRxCkhIqJaEkV4\nVWeNatZR04Ft+Ko1xMvXGqauTtCd5jVFhTGwJV8Y2Jbuo0fuCQB4blGyBmFieTNRftX6UklUrsY6\n82pZazW22QEZc4igNaTYFJm8MbAlXzq7mZmU47PHjsbmHZ3YsqOjrPUIKte3r6faJskjqkL9GvgY\nr1Ua0zy6ybomO7rTGDmoKeLUULWor2NTZPLGJyL5whrb8nz48D0AANOWbC5rPZXs99pQxzpbIqc4\nvlKl2BeeYsZZY3vQ7gMjTg0lhiODdSuzqU8J30XJEwNb8oWZSXlOOGAEAGDttvaIU+LfHkP6RZ0E\nInJwq6GLaaUd1bDG+t7AtpauT+euVst+PzFnLc66+cVIWgfkltnV1wm6WWNLHhjYUl7OjKzW+soE\nbWj/Bgwb0IBVW9tCWf/kRRtw0vWT0dHN6RWIKiLKN1fHC1+6Wt6gKTBR1uGrAk31dlNkPo+S7rv3\nv4E317VgfUv0hfL11qjIcW2CT/HAwJZ8YX/L8o0ZPgCrmsMJbK94bAHWbNuF9dujf/gQUTT4wkdA\n9E3mm+rrAFg1tgBO2H94tAmiss1YvjXqJKDeGm2btbZUCANb8oUd9ssXZmBrT6/AwJYoPHGMG53N\n9eKYPqo99uBRnVYXplrpBu68/ypxK1ayICsdg3fAOmvcD76PUiEMbMkXZiTlGzNsANZs2xXKsVxp\nBczfundW4OsmomRgs+Ta4ut0RxBV2oNHdXSlo68+pkAsWt8a+ja8LhW/NbZsuVLbGNiSL2z6Ub7R\nw/qjq0exqbW8KX8K2dbWGdq6iahXHHPEOKaJao89eFSHXWNbg7OiV9se3/bCO1EnAXUpc131eMxl\ny9fV2sbAlnxhjW35hvRvAADs6OiKOCVEVI1YY0txYPex7ejqgdZQcUst7WuY8h1FewrC7nThwUz5\nvlrbGNhSXs6sgRlFcfYdPqDPZwMbzcN+Z0d4I0UGeZb4jkwUL163JO9ZigN7VORa62NLwXHLy+yx\nRLzeR/m+WtsY2JIvzCiKY5csOg1orAcA7OzsLnm9fD8gilJvPhiT2X6yMLANxv/+cwYenbU66mQk\nVq3OY1uNdhvQULFt5faNzW3C7rePLWfxqG0MbMkXBrbFEUcRtZ05D2wyNbZtYdbY8jQR1RTnyx+b\nIgdj8qKN+OFDc6JORmKJmMLdju7aqrGt9O1Xic3ZwWQcZPrYegW2Hn1wqboxsCVfGNgWx+1RMLCp\n/BpbngUiyoeBbW3Jd7bjEIqICNLKXqcUHNbYkh8MbMkXZhTlG2g1RW7rDK/GlohqS13KWWMbYUKI\nHCTr5ziE2pR0vX1sCw8e5TW4FFU3BrbkC2tsi+PW9GpAkz14VOk1tkQUHWf5XlzqorKymngkiWIk\n0pBSOado0sXp9PmtsWVcW9sY2BKFwK2EekCD1ceWNbZEVAKvl0zWVFBciPSWs9RKH9tqVMm41mtb\ndo1tt0cfWuaDtS02ga2IjBGR50VkoYgsEJFLok5TzXPkHW1l9AutRW4P8vq6FBrrU2X1sSUikjyR\nwqtLmyucEoq7qCrcBAJ19LH97LGjI0oJJZFbi5j6On/T/TCurW31USfAoRvAj1R1logMBvC6iDyj\nqm9GnTBi361iDWpyv7Ua61Lo6ubBJEq62DTRc8S4XT18o6N4yC172Wtov2gSUsVikwcFzN6v3GvI\nHhXZqykya2xrW2xqbFV1narOsn5uBbAQwD7RpopsHG2zOMMGNrp+3lAnfPkkSqi454JeL3xUXfL1\nX3V+GmUrYFVH8FUD7ZGrsT9xnPapPuWzxjZGaabKi01g6yQiYwG8B8Br0aaEbMwnitNY535r1del\nWJpIRKHgwHQUF3YYq8jfdL6a8ZUpeJk+tp6jIvPo17LYBbYiMgjAIwC+r6otLt9/XURmisjMTZs2\nVT6BNSrNjCIQjXUpdJbRFLn2Xg+IyK//zl4TdRKI+uBzi/zwqkDxO3gUZ/GobbEKbEWkASaovVdV\nH3VbRlVvV9XjVPW4UaNGVTaBNYz5RHHyTQWSSgGLN7RWODVEFLS4ZInOoKGT3RwIMQskrWglVmkK\nSTW2bIvTLqWsmn+vNLFRXG2LTWArpq3KHQAWqurvo04PZQdn7LMQjFXNuzBvzXa8zeCWiIrG0UCp\nOJVuBZw913M0aaDgxOnVz6qw9XwfZXev2habwBbASQAuAHCaiMy2/p0VdaLIiNMAAkngdbjWbNtV\nmYQQUWDikg064wRnklgASbmiuCQEkulXyyuSgmLX2Hp1jWM+WNtiM92Pqk5DbbRWSSQ2RQ4W812i\nZIvjPcy+ZbUlKWc7qyBGtWoHk6r8+Qh/i1FVarhtNhPYeiQpjnkzVU6camwpxlgCVhyvw5WvDy4R\nUal6mE9TzOSbk5QoV27ulXvJWNPYer6PsnyvtjGwJV+YUQSLY7wQUdBYY0u5ogwoe4NaRrVUvszg\nUR6BLbvO1TYGtuQLM4rieNXIsgacKHning9+44MHRp0EIgDOeWyz75mY30JlqcZ9i6ghsuunvpsi\nB50cShQGtpSXM5NmIBasuL8gE1FhUXQn8Mo2Rg1uqkxCiIogMANK1ZKqecTHaD/8jorM99XaxsCW\nPKWETZGL5cxX3Vph8XgSUanYspOSgjEG+eVV4G83affscsFrrqYxsCVPKRGWgAWs1ONp8nWeCyKi\nWpfvMRKXPq12qwZncqr56VXpVhyVeC2L0/mqS9l9bAsvF6c0U+UxsCVPKRGWugas1ONZa825iMg/\ndnGg2LAeVRwVmYLCpsjkBwNb8iTCjKJYPFpE1Ufz/kJE+TGqpeK4Za+cx5b8YGBLnkxT5KhTUV14\nOImIKAxxqrnPTUmc0kbeojxfuU3qxWeNLa+w2sbAlvKyM4cUa2yL5tkHhMeTiILArIQKiLL7irMZ\nci3U2fKxXh6vw+d3Hlu+r9Y2BrbkKZUSBmI1iKecKL8obg/ekpQUmXls+SBJtDidvVRmVGSPBeOU\naKo4BrbkKSXiPbw65fBoKsPDSZQ4cblvs2rhamTEWerLzyi8Ucy3nMtZWxt9aqgYccnzACBlRSze\nTZFjlOgEqLbCJwa25KkuxT62QSs142WGTURESSJSG6Mih/V0bu/qwX9nr+kTgFTr20C+OMt3U2Sv\nGl3KUmVxLQNb8paS6ivRCZt3H9vKpINq25YdHWjv6ok6GURUo2r1WRdkIH/j02/hkgdmY+rbm4Nb\naQL5HhW5Ammh+GJgS56EoyIHrpyH/YzlWzFjeXNwiaGqdeyvn8Xn//Zq1MmoSizso7hyjiYb1eBR\ncUhDlILMHja0tAMAtu/qCm6lPlW0lZhjU27Hz+88tsybi1NtR6vowFZEBopIXRiJoXix8waOilw8\nr6NV6tEUCJZs3IHP3vZKiWugWvPGym1RJ4GIalRuYFTVrxIh7Zz4bIJb7SQzeJTXqMiVSE31qLbr\nyjOwFZGUiHxBRMaLyEYAiwCsE5EFInKjiBwcfjIpSnWssQ0cCwqIkieOfdxrry6Mksb0seWVWqre\nEaYjTUbk7Bpb7+NQ4weqSNV2tPzU2D4P4EAAlwLYU1XHqOruAE4G8CqA60XkSyGmkSImwul+iuV1\nvDjKNFGyRZElum1TPb6n6hXX8y2ZAERjm8YkibJMIE7nry5l97HlrBOUX72PZc5Q1S4R+YOqft/+\nUFWbATwC4BERaQgthRS5VIo1jEHrZmBLRCVi5RfFnfMalawpqar32RfWnmVqbKu8WbfXteF38Ci+\nXhWn2q4jzxpbVbV7q+8QkSdEZCAAiMhHROSlnGWoCqVEOHx6kbzyiR7PGcaJiIiSrcremSNhN+OO\n4j0sTudP/A4eFatUx1+1HS/fg0ep6s8B3A9giohMA/AjmObJVOUErLENGmtsiRKIty1R0WpxVOQg\nhX30Wtq78L5rn8OslVtD3lJ5/M5jy9fV2uY7sBWR0wF8DcBOAKMAfE9VXwwrYRQ9uxQnJcL3uSJ5\nZazsY0uUbLyDiQpT9A1CqjnoCHvfwlr96yu2Yn1LO25+9u2QthCMVGZU5MLLVfElFopquyeLme7n\nZwCuUNVTAXwGwIMiclooqaJYEQFzijI4S1vftcdgAED/Rs6YRURE4YqqP7bk/MJ+4WWo0LFzfc2L\nYpA8uDeP5Ty25EcxTZFPU9Vp1s/zAHwMwK/DShjFh4j4aoo85a2NmYnEa12+o3XDZ8YBAEYNaqpc\nYkpUbf0uiJLO+4WN9yzFC6/I+CsUN1fyPSA3e8stDBERiLApctCq7XgVU2ObRVXXATg9wLRQTPmt\nsP3ynTNw7i0vhZ2cROvfYGpq2RKZKHniMrUOK78oSeJ0vW5sacfYS8djylsbo05K2YIOOt0CxrgF\nPSkRz/cnFsrXtmL62M4QkTtE5PsicpqIjFLVXWEmjuLBTwmZbT1rbAvKTDBeasYbpzcEIiKiPNS0\nKQUQnwGk5qzeDgC459UVga87qQGVJKideEq8myJzFo/iJPW6zaeYGttzAfwbQCOAbwJYLiLB5wwU\nOwIOHlWsfAUBvcPVl7bezm7m2EREFG/OYClOgVOqzGewX2EEC2H1HY3P2fEmvmpsqRhxq5UvV73f\nBVV1LYC1ACYCgIgcBjOIFFUp+2I3NbbRpqVaiM/h6uNGVWP1ckJERPEXtyed37lQ4yTK2u64HSU/\nNbb2+1WKryy+xO0cl6uYpsj7On9X1YUAjgg8RRQ7KREfnfWr7dYIh53P8nARJVscm28xX6E4csYX\nUV+jdpAYRjrC2rdK5TVRnxs/268TQdqjyra3UoaRbS3yXWMLM73PGADLAMwD0A7gsFBSRbEi4l2i\nE3WGmBSZCcZj+FJMRIUxn6M4ifv1qNBMoXdcYgzJjHNBtkLnJrJKizyb9dcU2brmAk5Staq2iqli\nmiKfCAAichCAdwMYDuB3IaWLYsRPU+Tqui3Kl+94ZZpBJayrrGp8XkyIahXzWSpWVNl2pnUS4vXs\nSCWwO1ClmiK7FbhHeZTcrhtT0eKvxjYVpwsvxpJzJ/hTTI0tAEBVlwBYAgAi8hKAk4JOFMWLGTyK\nTZGD0FtjG6xj9xuG11dsDXitRBRLfF+jBMlqihzxa3SYfWwrvWdB7UKYzbODJvBOZ6ZGl/lkXs53\n9iSc92KUPI+tZe9AUkGxlmKNbdG8Ht5JGriCiPriLUxJEPVlmunvGG0yMpIUxFVK3Co2C1WUpFI+\nxnxhU+Sa5lljKyJ/gulTOw/AfFVtdXzNrKEWiHjPG8anhC+pVLgdfMaNHhrKenl2iaKvbSLyIy6B\nShwH8ck8gnkr9+F2TCp5nPzkrwLvqZrYFLm2+WmKPA/AOABfBHCkiLSgN9AdHGLaKGJ23mFqbP31\naSAjbx9b6/+gCwLs83PgqEGBrpeIkoPZMOWKrI9tpgw3+6qM+l3BDrJDaYqc0BswSeGfiP+ucYxr\na5NnYKuqtzt/F5HRMIHuuwE8HVK6KEaYNwQnrD62RERUW+LYgsCtEFwQnyBDKlRjG8p0QsGvMnGK\n6RoXk0su/qrswvLTFFnUkVOp6moAqwFMyLcMVRcR8c5IePazeI6KnIAD5kyiub35mCCKklu2wbuS\nckX9eInTvLW5eL/kF8eCkr58TPfDpsg1zc/gUc+LyHdFZF/nhyLSKCKnichdAC4MJ3kUBykfw6sn\nIVCLg7BKi3n0iWqHc/oP3vsUV5lrU1w+i0ioTZErvHeB7UJM4r+swvQ8y5jT5/N9NCb7RZXlp4/t\nmQD+F8D9IrI/gG0A+sMExZMA3KSqs8NLIkVN/JSQ2csyIwGQ/wHXOyJj1I93IioWb1tKmuieydmj\nD1dqLlYvIY/fGIpKncO45W9u14yvpsgx24+4S0ZNvX9++ti2A7gVwK0i0gBgJIBdqrot7MRRTPga\nPIrDq/uRxIcqkLz0EoUtjoVTMUxSok2cvw5nHrlX1MkoSxyuibgEtYCz1VQMDkxMZArcI06HH6ai\nxWu6H4NNkWtTUfPYqmqXqq5jUFsjrMzDNEUuzK7RjdOw/lHKyncdh8TOaNNeVeDlbI+IiMq2aH2r\n90KUMMkJ4iolSa9t4qvGlqMi1zI/TZGziMgXAHwCQA9MDvGEqt4fdMIoPgQ+Ilt2afCld/Co8tfV\n1ZNGQ11RZVNERORTnGoa3cS9QLN3HlvnZ9EmOshncB8xPx+eEpD+lIj36yjfRz3FPe8oRylvxaeo\n6vmq+kVV/QKADwSdKIqXVMpPXMsSMj8kwOl+1m9vD2Atfe3q7OnzWTVngkR+aZ6fieLE+RyO6pmc\n2+Q3Lu8G29o6AQCLWRufEZNTk8lTvVsIejVFtlsbxmXP4q3a3u9KCWybRORsERknImfBDCRFVcxX\nn4aYDRARtcIj+gVfah3U2haua8FhV07EdU8tDGiNRBSUahvkI+74XhyMOB3Gxro6AMCIQY0Rp6QE\nvP2RSsHzOKRdWgpQ7SglsP02gGEAzgIwHMDFgaaIYsdPnwYOr+6PXYIYRFwbRinb+hZTC/zXF5YG\nv3IiCgRf2Cgpch9TUcdm/RvNa++owU2Br7vS+xZ0Qdf05c3oCaWNdvHyFf4XU9HCF9LaVHQfW1Vt\nA3CP/buI/BTADUEmiuLHKwPNTPcTflKSIc/hso9PEHPouZ2TcmuC8zXdYU0RUfzxPg1WKc+zja3t\nmLFsK/YfORCH7z0k8DRF4Y2VW/HasmZ885QDi/zLeDVDNiqTmFD2OaSkOwf9fG3pFnT0pHHYnkNw\n5s1TA9/WwT+bgBEDm/Dq5af7SJf7Z+waR4WUMnjUQ85fARwNBrZFe3tDK0YPG4D+jXVRJyUv55Dp\nfucNq7WMRFXxxNx1+NiRe/oayClVQh/bw6+c6Pp5VsFqQNW3UQ/sQZQUvFWC8db6VnSn0zhi76FR\nJyUQx1/zXObn2y84Fh85Ys/At7FlRwfmr23BcfsNC3zdbj5168sAgM8dNwbbd3Vha1snjtm38Lbt\nV4FK3yeqWnB2ht7uQBVKUJG+cud0PP/WJkz+0Sk4YNQgNO/sxNTFmwAAv3riTQzt3xDo9to6u7F2\n267M7w/MWIXH56wNdBtOXT2K9S3tSKcVqVTxL4zFvI+WsPqaFNNboWSlNEVuUdXPWf8+C+DZoBNV\n7XZ0dOPDN03FtROS0Y/R14TYdgmZR5HiC4s3oa2zO6ikRe7xOWvxvfvfwN9ezG66m6/mpHdERn9Z\niaqizWUwJ/u7oDnX2N7lvt1Kmb6sGcs374w0DVS71m9vx6k3Po+VW9oyn1W64Oet9a2Ys6q6Z9f7\n6B+m4uw/Tgt8CrQ4+Prdr2PspeMxYd66QNd70g2TceE/pmOdywCCd728HNvaugLdnu2NlVvxod9O\nwaetQLcnrRh76Xh86taX8v6NQrPeC8K8heau3ob9L5uAmcub8y6TCbiLWO/iDa1Zz8MNLe3Y1taJ\ni/45A+f8aVrm8yDyh+ffMkHsI7NWAzDPwY2tHQCA1o5ufOPu18vehtPRVz+D7z84O/N7mEGt0+Yd\nHX0+83P4BD4Gj1J/76NUnUoJbK/J+f1nQSSklizdtAMAcPerKyq2zXJeGkTEM8P2U2O7aH0LLvzH\ndBx+5dMlpyUObnpmMa4Z/yYA4JIHzAPhNxPf8vW3xZYWt+zKXwgQyvuBY6V2f1sgmtLtz/31FZz6\n2ymV3zAlQkt7F+as2oZ0WnHj04uwoSXYUcKfmr8Oy7e04eonFwS63mJ89A9Tce6fX8IBl41HS3s4\nwUpc3Db1naiTEJpv3zsr0PW1d6UBAP98eVmf737xeHjX65adnVm/d6dNOt5YWbjwRSS8Oe5VFRPm\nrUNXTzqTjt887eN57POhtnVnJz5y01QcesVEbGhpx1fvmokTrn0OR1/9DJ5btBHz1mx37Zda6jPz\nvGNGAwD+PdMEtt+8J9hANldndzrU9eezNKfQevOODjy7cIP3H/ppilyjLQjJKDqwVdVlOb/nLxoj\nV86HQyVKqdds24UDLp+Am55ZXNLfC4rISAoss3BdS0nb99LVk8Zlj85Dq/XiZw/nH5abn3sbf3tx\nWWZ7bvI91OwSRL8lu2scTYQKbSOoq8hZ0/zIrDUBrZUoeOOummSCvssn4M/Pv4OLAw4exgwbAAB4\nduFG1+/D7s+6bnvvvZ9W4Kt3zfS80WcsS9bj2Jm/BVmrOX1ZM8ZeOh7zVm8vaz3FvBjPX7MdYy8d\nn/f75p3BP5fueXVl4Ot001hvXhW3OvbhBw/ORnePd4F32IWi4+etw7fvnYUjf/E09hraD4A5//kU\nO+XeiubeFhsnXPuca/DV1RNccDh6mJloZGNrBx57o3qfwW85plvavqsLx/3aX+PPlI9Ots5udOSt\n2rqg+Q5sReRtEXlURH4hIueKyNjwklXdnMHsqq1tBZYMxsK1JqC8+bm3S/p7P6Mi+3nJK1T7WI6D\nf/YU7p++Eu++ahIu/Md0HH31M/jdJH81qOWYYjUZKkaqyBrbHR2FjlkITZEdq7T79URte0jN6qi6\nzFyxNdD1DbDGPwhj9FQ/Trxuctbvzpf1fK9rd71Seiug/85eU/Fa4V898Wbm5/lrgiv4HD/XNKc8\n5xbTTLS9qwermtvw+Jy1+M3ERYFtx+mZNwvXNi3fEk23iiCaY/azAltncP6fN9bg0QKBV965dAN+\nbH3nvjcAAB3daTTUe7/S2i/xfp/Ba7bmL1y2dVi1nkHHB84mwm6SGI/UWS9B9rWkqjitiJZZfpoi\nBzE4JyVXMTW2fwWwHsAWAB8DMF9E5onI1SISbG/2KuespJ2/pgXtXT0Fa//Ktc7RRK+juwdLNu7A\ngrXFlGSLZ+Bq71OhEjJnkPaO1Rw7aC9YwdifJi8JZf1OhZp85Z/H1hwfvxX1hUrSqjnvdvZnuunZ\n0loaUHTau3rwlTunB1qTUWn27bV9Vxda2rtw4nXPYVNr335hcfK540aX9HdLNrbikgdmY9xVk/Ch\n307B2EvHV6QUf+KC9aGs9z85AdehV0zEyb95Ht+7/w3cOuUdvL2hNc9fls7raCW5gM6+FHJrndsK\nFrxaf2v9X4m6s6/cOcNzmWKvaj952NMBXsfVHpQ11Jkr4ebn3sZ3738D+182oU8T90J8VbRE3BQ5\n95p5cMZK/OeN1dEkJo9qvsqKCWy/pKrfVtVbVPWbAD4AYDKAFgC/DyIxIvIPEdkoIvODWF9cOTOu\nl9/ZjEOvmIh3XzUJf39xKb5x90z8+flgg7L127Obe53x+xdw9h+n4doJCzF+7rqsEfGcnCPLeWck\n3m2RW9t7H4JB94dz09HdgzdWbg38ZdSudc19yD//1kb80aNWPFNj6zNbKRQAO78L6lkYh2fq9GXN\nmLyot/ln4VprioO0NYjM2EvH4x/TluHQKybi+bc24YRrn/P+4wD9e+aqwNZl3wud3WmMu2oS1m1v\nx48fnhvY+sOw55B+Jf1dl6NJ6TKr79srS7cEkqYotDieNYtdgtgP3zQV3T4CliD7hUY1FVMQ27Xf\nWTblDPhz3VO9td+FC+fj0yTUvq/9P4O9l/tJgPlCtQe2acdt90SegapU8wdeKfGuaMkUpkRw2T0x\nZy0O/tlTWLJxB3Za7y4/fWQefvDgnMonpkYVE9huF5Fx9i+qOhvA+1T1twBOCig9/wRwZkDrii1n\nSfi9r/X2kfnr1KV4esEG3Pj0W74eun45Bwdw3ly3T12Ki++bhfdfP9ntzzJSIp41jH7y4jBrpd28\n6+cT8albX8aHb3ohsHWqat5j8ZU7Z+D3zyzG3NXb8k8uXmyNbYEMPIwXpagfqVt3duJzf30la7CV\nqEdnrgbXTliIc/40LdB8xenWKb2FcVc/2du8NIx+hQCwK89I4ZUMPKN4//TKN3pKTFSjSxPOGcuC\nbdodlY/c5D4XZznNtl35HGAxiezrbr3LKMw2u3Bk7fZ2/Pt1UzulCmxq7cDqCnS5Kpbf81HMMChB\nnOJKDw7+7n0qO81Wj2pWwHnbl47Ju2y+uNT7fTS6m81uhXL/9JU44hdP4/7plekHX44EZ02uigls\nvwngThG5Q0S+KyK3ALDfkhqDSIyqTgWQrNEvSmDflM7S9ZMPHplVs/hWgE2l0ur+4uJUqLmNyYT8\nXfqFmiJPcvZBquCdFOTUB34eOpMWFO5rJQLfT9VCi2UPHhXMAbUfCFd+/HAcv/9wX+kIW1SjNlaT\n26cuxbw12z37AZbqpSWVrd17eFb4zbqiqmErZOnmwl04Si23qHPJt9e3ePctLIdz8JgovLU+2MEM\n/Q6wWGlB9LG1axHdpmjp3Y6ZX9e53bVWa7EX396c+Tz6+6q4PrZ+a1C3FDg2xah0jW0U2zvTMbfz\nR4uc57mYeWyjYBf+3DHNjLMb5ijl5M53YKuqCwEcD2AigN0BLAHwcREZCOCBcJLXl4h8XURmisjM\nTZviMbhNseyM5MDdBwIA9tmtP961x+CsZVZsCa6EM62aGfwBAC7+0IEYMTC7LCJfc2TAX58Ge58K\nNf2Ie/80P+xh/ceOGJB3mS07O7Me3bmDZpnBD/xtz29gGxR7lcfvPxwfPmyP4Dfgwe366QyplrEn\nrTjw8gm47qmFUFXcPvWdRPeD82PJxuD7tnd09+CVpVtw+F5D8MUT9g18/bnumLYMVzwWfm+VONaw\neTXL70mXdq+4daHY1Bru6PK3BNzlplgPzaxsn7cYXk6+2ffC5h35r4mdnd3Y6sg/17e0ZwW0YTQL\n7eNA6D4AACAASURBVOguvjVPsfe139q/3DmFSz3flZ7PuZKbU1WoAofsMRgfOXwP/O6zRxXd3N+8\nj3o1RS6u8CJIr+cMYhh2wfwfn3s7dv13o1bMqMjDAVwF4AwAmwHcpapbVHWnqv46pPT1oaq3q+px\nqnrcqFGjKrXZQNkZyd5DzbDux+43DNt3mQfCUaNNsxA/I/H5pQqkUpJpcnL+e/fNdNY/+eCRAIC1\n2/I3MRJI4KXRziH0k8QObD9x1N59vhs7YgDqU4KOnKazuQ9f07S7/P49oTRFjnjQBTdhPRg+ccs0\n9KQVf31hKfa/bAKunbAIR109KZRtxcXvnllc0stgIV//l5ln8bRDd8fWkKfaAoBfOZo6h8kzz6tI\nKrJ5zZddahnQtCWbs37/4CGjQhkHYcWWnXhjpXnx63S5DpM87USCk+7JTxP37h7FwKa6CqSmV0eB\nZ0NPWrGhpR0b81zHfk+X3/Pa1ZMO5BpIKzCoqb78FflUyXvOfvetSwlu/5/jcN6xxQ9252O2n4o3\n545KW2c3fv/M4j79dz9y0ws4988vYdZKf91Jqi3vKqYp8gMAWgE8AWAAgGkicnwoqapydkbyhRP2\nxWePHY1ffuIIfPe0g/HZY0fjwW+ciAGNdX1K/8qRVkVKBPd89QT89YJjMWb4ANz2pWPxhRP2xa/O\nPRIACvaB8VdCZi3rM02XPTrP55LxYj/gB/frOxD4lB9/CONGD8W67e1ZGcWBowZlLecnY7YVWi6r\nKXJgGZNV855zJqNsPrZ0U/5pMi7/zzwccFn+uSPdpNOKdFqxYG048yrHXVtHsIHtHkPMdDhfP+UA\nfPn9+we67lyFWpbYXsoJ0krlmedF+DKQr5aj1GaF9ans9e05pAnrAw5sm3d24pQbp+BTt74MoHfa\nD6cgWyrFTZgBRJOPaW7KkVZF/4bCQavzkrzu0+/Ou1yQh0ELFOTMWN6ME659DsfnDGBnb97v+fAb\nJHUHFE2lc/qghq2STZHtigGXW9830xQ5vnlzJbl1LUqnFYs37MCcVdvw6VtfxsbW8AdqjZticsO9\nVPU3qvqkql4H4BwAfwwpXVXNzkiGDWjEjZ89CsMGNmLfEQNw42ePQr+GOuw1tF+g/ZtMYAsM7d+Q\n6c9w5pF74tpPvRt779YfIsAqlxpiO/PwN3iU3RQ5RlV9IchkzHly5t0GNGL+muyplPrlvBAIvPuI\n2KIaITGq0+i2u3ZrBjf3vbayqNLZts5uHHD5BJz8m+cBuJeMJ7nWyI9SBxjKZ+/dTMuTQY31OH7/\n4Vh+/dmBrt/pE9a8pIX8aXJp83UXK47XSU+JL9e5+dmowU1o3tkZ6D5eM35h1u9uz4q4jYBezP5H\nVfh3+F5DMLBQDV+ZebndfNRr/7p60nhx8ea8mwzjkdJdoOm9s2WHc9C8Yi9pv8/gIGcmSInghR+f\nGswKPVSydtM+lvnen/zw05Ur+n7cldFQ1zeE68q5Jza2JL8LYLGKCWybc0ZFXgpTcxsYEbkfwCsA\n3iUiq0XkoiDXHxf2dZdvoKWRg5oK9mUpVk86f8DZWJ+CqnsfK5ufGls7o4lrWFvqC18uu/9LXZ4d\n7deQQn2dR9NtKSLjLbBYGEGvc5VxKaPYFeCoyLe9sBQAsMaq+fv3N0/MfHfxhw4EgKLm1EuKDxw0\nMvNz0H24vJqvvxlgzbgzX/z88e79eeeuLmaO7vy8m7vF7+Wp1EKL3HM3bEAjetKaNW1OuXKPl9vl\nUuljGmTNj/fLdjie/O4HQt2wfQzauwq3c+/sVvzkkcpOh1Xoub7TUUhy4Z3T+3zv99z6LdwIqhCo\nJ20qIvYbMTCQ9Xmp5D1nb8ttsLpceZMlwXeNSyq3GMI5dRtQO8fCqZjA9hsA7hORv4jIt61Rkd8J\nMjGq+nlV3UtVG1R1tKreEeT648JroKVBTfVZmXK51KqxLZXAz7Oxd5+unbAQ+xfZPDRsXvPL+mU3\nN6pLCc5x6We734iBptZBFaccMsq19qqIQaYrX1ps/Z97bVYqcwx7M7nXwaF7DsbsKz+MhVefiXGj\ndwPgr7lr0uzs7M1PgmoyZ+u9Ztwzmflrt2PG8ubACpds+ZpftuWZCqhoLsn98Uffhe986CDsNbRf\nyf1Zw9TTU9oxzu16MMTqahHmFG1u18tzCze6LBmenR7XShLeCcup/fLD7zPIObNCobglyGNaKEtx\nDmTlHLW92ADU/9R8wdQUplVdm+mHpZKBT29TZH/755ZHpPx0jStip1rau7Bue/Kf+faI5V0ljElS\nbTXcxYyKvAjAMQCehxkVeQ6A80NKV1Xzao4xMODANq3qq4QsH/HRKbQ3HxHcPnVp7EqJhg8MZEaq\n3hLHVAp/+vx7+nw/uF89unq04KAWRfWxLbCg23flHvZM7ZtLc+m2zu7Ezyk7bIB5Yd93+AD84IxD\nICLYbUAj+jfWYR+rSW2hgdSSaldnT6bWtrvE4Ccf9egT9pOH5+Kzt72C304qPPBRscLuV2g/7B/4\n+vsyn40c1Ij/++i7UJeSWL4MBFVjO7ifadraGmCNbe4l4vb4+4c1RUal7PDYv2Jqs+I8BUk57Gvq\n/PeOKbhcVmDrUh8fRjelQucntwuL/ewq9jT474sbVB/bynbpqmyNrfnfqzCm0DH3M1tiMbs07qpJ\nOPG6yf7/IEZudhTUn3Xzi/jv7DX4wt9f8/W3cexKE5Si3gxUtVNVH1LVq1T1bwCSeTVELHNz57m3\nBzbVB9rXqNyM0k8glq+mL2x+b86g5hLrydTYun8/uMn7hdDP4Ae2Qg+dUJoiO2renZp3duLwK5/G\noVdMDHyblXTc2OE4bK8hmPqTD+GSMw7O+m6voWZe6WoovQWy7w0RwcfH7QUA2BTQfIu92/FXAv/q\n0mDnunXrXxQG56A59anKbBMwgfs3PnhAUX9TajNz59k7+eCRmcHxggxsC23T1lrhPrYrPUbnLyaL\n9S7oCC6/ds4x7qnsPrbm//1GDCzYfz6rCWSF3gOKaQXSktP6wG/BlO9NBNbHtrwWdsWqaGAbwOBR\nIt6FirUyKvLCdb3dfDa2duCSB2ZnfQbEs8tM2Mp9Svdti0mevPoZDGqqCziwVZTzPibwnp4m07za\n8dmaCjTp9MrA3ndAES8APng1pbFfCFt2deUN8ouax9bnd0FlXb01ttken7M2oC14bT/cTDidzv/S\nMHxgI5rqU4GOSB4XX//g/jhwdzM6d5CtQQBrFE8fy72xclug2w27CabbpfiJox2PvBAv1Xmrt6Oj\nO110gWTpNba92xk9bICjxrayTZErzWte52KO5kqPEZ0Dzdoq+K6aaWHmcbqc04jlLvr7zx2V+TnI\nPN7ZxcKv0AaPKmHdbkwfW3/3RiDTC1WwS4WdP5XT1Dol3mmOY2uaqPh6n6myw+UZ7ojIn0Tk6yJy\noogMzvm6yg5HZWQGWsob2DagvSudNZJfWdsrIqN0sk+u6dPgsWxmn3o/W1ZgmhbzN8H0RynkhP1H\nlL0Np5504Yw580JYIHgQ8T8qcqFjFEYMmK/m/cane5uRvr6iObDtbWrtwLMuQ9aHpadA/yURwV5D\n+1VdH9vvn3EwPvWe0Rja3yp0CThYUUQz0Fi/hpCbIrvkaXYtcdj7e441+nPewrE8nwfVjzmMpsi5\n0U70Ya2PmqMiMlmvYx9sXJu9tkLvCtdOWIibnllc8rZ6W5gVPlhvrW/N/Pz8W719pW8479349DGj\nQ7lnzvzDi30++9W5R7h2U7CbRxcb9Pi9BF55J5gWKWmfLWCCUtl5bO0WYeWMiuxdY1vKLgU9qKKb\nnR3deHJuZSoJbNc/tdB7oSrj581gHoBxAK4HsFxElonI4yJyDYDcQJd8UI8SUHuSc6+BLfzym1Hm\nezCLj1F8nX0zM59VoNyjUGD7rVMPDPxh6lXi6JzfNt+mzWBcPkuBC/axjaZc6d5XVwa2rnNvmYav\n/mtmZoqksPfIqzR81OCmzCAMSZfOuSdDCVZgrtEoat8aQ26KnCnkiTAEK3bLpTY7y521evjARnzq\nPftkmucHrRIvkX4EXchTSJDZde66Co1eva2tCzc/93bJzwv7vSDfLf7l948FAFz31KLMZxPmrc/8\nPGZ4oJNneLrgxLGuY2q8sym7dj7oKfdueX6JvxV60DJb2BWrkreifSjLG/PFT0VL8TsV9DR4bi59\ndB6+c98bgVYOeAlyVomk8Lx9VPV2Vf2Oqp6iqiMAnAzgNgAtAJ4OO4HVKO3RnNWeWzOo5sh+J/xu\ny9Osx8+8q24jPXu9EAYxlUShdF144ljsG/BDNe2zxrYgHxlzZnsFlnN+F1SQ27seyXvNBJlRrrWa\nyXz8T6aG6saJxQ0wdPheQ4paXrVwM6gh/RpC7VdYSfZgLvV1dmDb20w+SOqzKXLQgh7dOZe65GlZ\n34e6dcNPDeyAxt4+wCUPDObYx7qUoH9jHYb2b8CeIQW2B1w+IRZVttdOWFTw+zBrWctbV/FmldgV\nwDmffa4ZPzsD3zv94D6fX/SB/TM/f+/+2dnrKykVxdltQN/ANtMFo8gEVLoIJq2ltbArZ3uV3lZ5\nfWx9BLYlrDfoUfvd2K3TzvvLK6Fvy3bsfsMqtq24KLpcSFVXq+oEVb1BVb8URqKqnVfTHnuy9aD6\nwqn6KyHb2eEesKRS/jMK51a8NrlkY2vhBXwolBmJAKccMqrsbWRtz7N/dG9gm68Wq5g8vdDL0Jfv\nnI7v3DeriLX555b0m88/GrsPbvIccKUYzpE2T7p+Mh6cucp1ubGXjnc91+8/cETWi72XngJ9bAFT\nMFHJWpww3f3KCgDAnS8tBwAMbKxDY10KzW3BztOrqEzTudxRTkcUGOl8xvJwS8TDrMV9e0Nvvmif\nu0JOPWT3zM/FvqS2d/XgG3fPxOrm3ub39akUOrrT+OfLy/FEhfrWx1Vxg0dVTikFmatKzLftbDe3\nQHBIv3qMGtyU9cyzfebY0Zmft1r5Tdg5xN0XHY/x3zNz+u4xpKnP93YWZR85v0ew0oPv9FS4KXIl\na2z9NmsH8p+fsJoiBzX/eSFR1J4eP7bwODMH7z4IQ/o3FFwmaSrY4IFsb1sBneQ5+mHU2PrJSPLV\n2ALeo/i6fe21xSCaL3oPalX2JrLYNSL5Bq4Z0s87g5CiRkXO/11bZw+enLsu0GZ9boNHnf/eMXjs\n4pNw7tH74PC9h/QJMMrhfCnyGmzsnU07+hw3P6W3Tj0e98KQ/uHW2I69dDzGXhr+HM+qimsmmL41\nHzzYTPMjIhgxqBFbdgQb2KbT/lqElCu3prmhLoWvnDQWAHDf107I+m76svID26gay/53dm8w2elj\nnAXnsS+21mHq4k14esGGrO18/vh9MbipHiIoOG1Z2fIkNU7TUBRTy1rJ6X5KWVWp92huLdvtFxyL\nu/73eEz9yYcAAI0u/VnrHc/HStSE7TdiAE4+eBSO2HsoAGSmbnOaungzgOLPQzHLdwUwLkq6wqMi\n+73fChUk+pX2aNaey22xVMr7nJRSGPHAjPK7WFXiWi+WVx7+iaP2Rr8G/5UDScDAtsLWbtuF+6eb\nWqm8TZH7BVtj2+PzxbMtT59ef00/XAYF8NhmfQC5d6F8JCXeozkXvz2PGltHU+S8fWx9TJ9k8/PQ\neXVZcNOouJ3HgU31OHrMbgCAw/Yagg0t7YEF08U0J/3ITVNx96srsj7zM/S/Uzqdf/AooLcpctgv\n179+8k2MvXQ8NraGMwLzRXfNzPw8bvTQzM/DBzaieWcya2xzC5PqUoJfnHMEll9/Nt5/4Eg88Z0P\nZL7LX0jnn9vgUdnfh3ONlHMoy52i+KVLT8O79hwMEUFjXQqdAQa24+eu87Xc/pdNCGyb5QryFNvP\njpnLm/Hf2WvKegkuJV2zV5XWFDl3wJ+PHLEnTjlkVFZz33OPzp4go9Kv9xd/6KCs3/cZ5hbYbsr6\n3XfhchHnKd87VDG0iKbIQYxa7nxH2n/kwLzLFfqu2G2V87zwM0tHSddfABft7wKeqz0I7V1p9KQV\nN0xcFPizP64Y2FaY88LKO3hUo1VjG1DNkd/Bo/I1kzCDHXlvAyjupSyI0q18D6erzz0CowY3BV6C\nlhkV2eq3mNsMti4lGOjRNFbg/8XEz3LOaVSctT2lyDfdj60+JejqUSzfUnjEa7/Sqv76JVsefn11\n1u/FHEt7e4UC28H96tGT1kBeUGx3v7IcG1va8a17Xs989vdpywAAVzw2P7DtAGZaprGXjsfkRb2j\nkg4d0NuKYMSgJmwJeHCs11dsrUhzvdyzllsw9m5HAP/n598JYIvWC73L3RBmHO9n1fmWKbbAKbfV\nzO6De5twNtanAq2xzV3XoXvFf+zJYo6m30DpM7e9gksemI1rJ5Q2WqmqllSo4qdZuxt7apVC7xC5\nz0Fn8r516oF5vwvK0JymlMNc+tgu3bwT67e3F93XuZhbyjnlUanSaf+B3xf+/lr523Ps38PfPLHs\n9fnZVlnTT/qoGChpVOQALsyZK7aWvY6g7ezsxuNz1uAvU97BxfeG03UtbhjYRqhSg0f5HWUvt4mi\nfZ+nfDSdtb+//KzDMp/l64f2ly8eAwCB1Abke+j8z4ljAWQHz0HUMubW2F5/3rg+y9iD9OSfqsN/\nLWOh5S54334AvOdiLEW+tNul9Ms2BxPYdqcVTfWpTCHP3RcdX3D59tzClyJqvwFTo1WoCfyQgKfE\n2dDSjiv+uwDHX/scnpq/vs/3Ty8Idqqj793/Rp/Pzj1qn8zPjXWCOQH2JTrk509h9qptgRYE5JN7\nnZczF6IfXjW2ocmzQefu5h/QqsjAtsDvTfV1oTZF3nNo31q1KBTKy4p513U253abimpXZ09WU9VJ\nb/bND/y457WVgd7DXvwM+JPblNF5Hf70zEPNDyHcSPa0Ph961+5Zn+d7t7hh4qK853Ti/PUYe+n4\nPu9dxQQ8zkVLHoXa52CfQSlmnt5y/fMlU6DrFbgX2paf6RJLOfaBlLfEoCXyYTkDaq7b3o4fPDgH\nANDmeH+KQVJDw8A2Qvnu7cx0PxXuY/vd+91Lc1J+Ssis//s7Sm7zbXKkVSvgp/+YF68aWXtEWABY\ntL78wapes/ru2S/Vnzhq7z7LDPKogUyJ/1LgfBORz7nyI/jVJ4/E4KZ6DO3fEFgpuNt6nJ/ZTZKD\nGgTBnmN56XVnY/n1Z2dNlzS4qR63femYrOXbu7IPiBQZ2abTiroCt4LdRzqofrZvrm0JZD1+uBXc\nfOTwPbKa8D670NTkBtVPOsimql7uyWmG/v6DRvZZJoxYt9CoyOm0YkNLMM3J/z973xlmx1WkXd03\nTdSMcs7ZluQgWXKSczbYJMMagzEZkzM2YdcYYxtYFtiPZOAzeeFbsFmCA2DjBI44ykGSZVk555Fm\nNDP3dn8/uk/36b6nu6tOndsaa+d9Hj0zmtu3T4eTquqtt/Z090F3XxX+8+4XlZ+3I/L3qfNA/N5k\nZ0GlaJaKHMdfnks27EzVcMfgIr9msAq6ObbxeQrAK/VhopTYbxME9hqFwLBNGVzrdkaFqfJKk+5s\nKcGbFk2sy/O9W2KsyJAdC/FLfJ/PqJn3b9FiHyTHqSEWWqOddtH2pN8b3NZPfUFDHhU523DV6X/x\nclA6yKPEZRYKNsAEiYovCwBOU9DJD0UN+kZj0LA9hEjK0wxUkQ1EQfqqDtyzYjtKqKk/IUEL5yHz\nfsoTVlKLov6kiU1TfIIb2V6BJ75wdvD/sVJUwER+wVf9cjRpE3NIrU3MsmXX0BP00q7eKvzkwTW4\nkyEgWkuKto9o8yK2vf1OIIS0lkFLrjpucq615VFnZcQjtpgayzJqGTm24t3t6+mHvqqjrSQqMKQ5\nm2ZtipmxaW+9+FZSHdI1hiLueUIec1eeNl2pxirwpdfMY7eXGjXwf37zrpWw5Pq7YVOG8BkGR1/7\nVzjr6/clfh5NcVD3YSqdLr4Rl9eJctE24nxMwp9Scm7FBjgPdB2sBnW060B4nH9ftSPzmB5pTV+/\nS7PP5LwT/YvPKklb8/5l8aTI/1Prrxvc/FdrbsR5LdCblFZlWeTWKdG/vzzPY+Cs39UNd72wDZ7z\nHaKUNB1dyHNGXg6JLMM2zbGMC7R4R1Du59mNfCc0tj3TZSgBABZP9dSPC5YFly2ZrDxmIAnzNRKD\nhm3OkDcSSYO7UrShYFtGIrbC+/+0pnCEjLRBEdR8lP6WZEwL76oJmpt4nCLH55KFE+qKs//bq48A\nAIDlW8xFz9KMo7QNN4DYl+RH/6Egq3aniBrJObbfZeQzOo6bGAmwAGDbvmiEo86wBXqObZYqMgDA\n0xv2wqzP3wFLv3oP7GY4REa11xuWS2eOgDU3XgjX+P1yy14zET/hMIr8TaFYCgDw68f4UR85QnzX\nx09ln4+CrK39wy/tZKceCGGWtNI+9/qCNNu7zOQtb0rpCy2RUmLqY6j7lrQ52BOPyr88BQDArgNm\n88CzIOpox2F6/o0/722Gov2NxLV/eh4A0tkQZ82NUoHLRRt+874T4N5Pnhb8TXy95rhwy+Mb2OPT\ncVzYeaAPSop5L8nBs2zDHvLm3tTYxiCu5j55eLYBxGXfYJ1huw2WicMEpLcoHLUA3r7SVDWM6/y+\nbQrYZ1ku2vCPVTvYjnMZY4Z4e420ven/DrN20LDNHTf7OQYA6TmYLeWCkby1LQYWzqD+W6oXNnos\nACg9qQDhZttMjq3X8r+9+gh45LNnwifOmV13jKCD/uiBl+s+0wXGsE18v0ARj0o/8O0nTYG2StGY\nF1x1Fvk+hAdZFqnazqDX1dxoxDb+yKoxLnYdFZmYY5tl2AoRki9JC95//HUloYUoVK/v+GnDAQBg\njp8LYypHWihMf/KcWcHfCgnJ9U8YELl48KVQjXvGqLbIZ+fPG8M+fxwRwfUUejAAwG3LNsOO/b2w\ncU8P7NHckH3mlmVBW//zgZPgTx86OfJ5Xs5vUbpkpvSM5dsf3hY68qiXJFMz47U/KyWz4lEUNLJO\ncBJUjB7TEY44FVlFWR6oSJs3LcsKapLPH98BM0a1wXFThsEUBfXxhBv+Bp/4zdPw30xK9b/7CrQq\nwy6JErxGpkzHDnnVgrEAEK37uben34gTEIv4Ix7eWl+PN46jvvgXVptYI3D19gPGxIcwDMLH1uxW\nejAx+yfMsK05biDiaApPrMMFkFZt2w+X/egRWPrVe4y1LfbbBduC2WPalMes3v7KY2rpYNCwzRmy\n9y9tcHuGbePqaSbhvxWTuNhkpM0VKipyEipBxNaAgqBUimD0kCalwfmOk6cCAMCJM4az2xOQ21k6\ncwRcfkJI/WhFRGxNqSKPHtIE+3urcKBXEgXgbMYyBHOEd3yd5GnMut80VNMitpZV542PUyMtRI1l\nGVlU5PjmHgDqSgxRIHtw19x4Idz18VPgylM9ldARPs16b48ZT7jYzMkKoUm3utNAROz5zckCNktn\njmSfPw4MA1NW9d3fW4WTbvwbHH3tX3ntgpdbPm98qLpsogY3Fq85xsvjl+9Nbv/DZ86Er75+ARw/\nbRh57MvqsWfNHR35zHS5HwrS8jkbhbf+33qFWZ2p9C3HT0r87EMxcbcXt3XBagO5fXkgq8uLPvma\nY8anH+hjdzcv0vhXn/arNGwRTvg4Zo32VLqPGBeK78RrZ1MwcxRd9Tv+jFVli0xDnjOyHOS3LcOV\n7MoCZ3ijUuMQLj4T+880zBnTDq9FjgUTKPlObAssOGPOaPjrx06pO2ZZUsrFYYZBwzZnYKkKreVi\nLkqjcXz6lmeCiU5cqZiE0jZN4r5kj3TS4YHybA/fcMeUIhB5hrc+sZHdnoCcH/3zdy6Bay8Oc/qC\niG3Cdy3AqyJneVObfCfBRgM5fgAJ9YhTMKSpGBEnoMITc0oybEFJM4sfQ4vYpm+aW8pmc5rEuPjm\nm44GAIAZo9qD9kW+sqlxHpSikqK08XEx3Kfp79jfBzfcoVduRGCkb2j95O3H1X32Jj96EweHenn7\nslBsKCkS/dv3nRj8vtkQxTuN9ZKncnJLggOpUizAG4+b6KvX084p94FKMapsW26weFQaOI9zcwKF\nMQvPKYTedFyEV54Wral636dOAwCAC+aPgT0xY+6dP/0nnJGSVz2QkOW0Fh8naSbEv84dMzW/szeX\n6svrpTp4Ej5SjeWkVA4MSmkqhQmIMxWwZ+CkWVEFr75y53K4+wVeLjFWPEoVYbQsxD4acUuNZktM\nG9marB/SAIgSlKLTzBytdqx8+29qccLDCYOGbc7AbjyaywXYsNuMsULF2d+4P/J/sRFPm//EfX3k\n109Jfwu/IE+eYiG6L1YwXQdB+Z2UniwiWMdPG5Z8EBFp5ZOEqnXS4yJFbDNm6EmKHBwT7Lm06VhW\n1tvnizzoCiBVYxFUmVZpgZrOHmE9AO1+axmqyEnQjYKrKPoCItJtql511akfC/F2x0hiUjfdt5rV\n3l5/kz5fimQKJEXF1xrKKaokbDgnDmuBqX7/lPvJXkZ0aPYY9QbBBckR1CDq7JsWTYSL/HJNr5O8\n/6rWbA1hnJVbw2hhJVaixnQd2ziOndSZ+BnH6DHpENYZ9uWCDdNGhnPkhKHeHD1nzJCApWEaWJGh\ne1ao1YIxyDJGxJDHvjvuiBFGjyoVRlWtIA7Mqz3UirHY9r91l76xQk11/t69L8E7f/pP7fYAmHVs\nEcdgAkh1pQMN4/ZlW3LtP3bUrgUAgOe+eG7dcTdr1rN+JWHQsM0Z2IhtvOadLh5H5NLdcmW0KHc8\n508MlDQjS/WZ/Bf5XsT5MCqSWQhr7KXn/4zraILxneaU6IopM3NbxTOkkzaFFuAjAVmLjmjLFELj\nKPl5ygbDGxZOAACA1333H1rtOTHDdsLQFvjDB08CAI/KNWV4fY7WmV+/N/wPceVw3GTqcxp++/gG\n8ncAAN74/YcAIHQAyCgVbKgUbdhvKOVAOI/kyFs88h73IHNo66KvlBKMzLiIGwB/MytwTIpRrnwo\niQAAIABJREFUJGppy/PYs5v0KVgqATBxH4Ix0qgNzMVHj4PZY9phzY0XRjzwqvZQkYwUxIdFo8v9\nzBvfAUNb1PMXxzmXxADRgY52QakQdXOI5/ryjgPwpuO8+TK+5nLx90+fEUmHScL9DGdy1rQp1mC8\n09YM4oJLAJ4TIQli3orPfco9jPQnkeveSMS7LvZZqmqkY1A3/0v//dhZs6BRiK9Lj33uLHjqX89O\nODoKDDMF89jy0A/glDWiQuwVV2wNy1qq0sT+NygjDxq2OQPbp6aPajMy8NKKzwscPXFo+gEI8SjV\nTCKrHlal303mp4nTZp1zb08/3PKEnnGiQlqEuC2jDjEmRyRAxoEiOhz5CvLUKvT7fU5W2I1fwl8/\nfip88pxZ8NwXz4UvvMpT9pUjPxSoyv0smNAJP3vHYvjh5YuUxpFsJAZOF+QDFXVzqfjevXrKzzt9\nQZrNCVTx9qaisYitMGybJGreEWOj0cZvvzlaF/hnjLIqor0kutUTXzi7LpJ01a3LtNuTkbZxFdHc\nJ9aFTj0TTsJDgaTooypCTJpXFHgyJnzy+NrdsGJrV8M2Qh5bQz2Rclo0uZnUufWmGDVWrE2/e3Ij\n9NdcaC4VoLlkNuWho6UUycFOwo8Z0ZqsNVY89yTnSrzPcpwwAF5uOYA6FSINSc6agIosXaeJurQD\nGeL2Lj56HFx52vQgvQQA4CNnzWxYu/ExOrK9Ap0t5VSHpQDGgYfpWo2O2ALkG/F/0Tdo4+kO8Sod\nhyq9JE8MGrY5Y7IiAqXCsJYyS7iAgqxi4BianWr+F3/a1nUwuJcz54wyStpzg4ht+nEmagLLSNs8\nBXWIEw1bfCQgO2KbvkHq7qvCkuvvgn8go+OilnGSojWAR2f94BkzobVSjAgVUTfAjuPC+l3dygjq\nKbNGQkdLKfOcGMVuGTU3Oac3DauZdV+TcoXbKkVjdWxVhuZ588ZGjpkYq5/HKUovnFVpY+Gpfz0H\nfvf+MO+VowB9pCTqkvYGhWErqzY3YjF33XAUN8oJ/vuE/HVlxBZ43vh4ruKO/Z5TphHlThZM6IBa\nLbmGNec+DjV9tFywE2f33v4alIu2Vv7lQId47klrVryEE3fMDPGdZgsnJzvmT5w+HJZ/6bzI3/pq\n3l4A0zzX+B7oEPc3c1QbfOa8OXXOi2XXnNOQdpP2a797/0mZ38XoamDeW6MjthOGNucqMpjU1v2f\nPh0e+PTpwf/FXvhw7tqDhm3OOG5KRnTUx5DmIuw7mI9hq4K8scCV+6n/UEwui798N7zpBx4l8/Q5\no4xuPGpu9uZahqnoQ5ozIMidTDNskZexYXd6TmKWIvHKrfth675e+NqfV6DaE6rDWaJNKnyXGNW8\n6f7VsHrHgVRWQZZhj1HsllFzDo3iapIISWvFXMRWlEbKclTJ4ERsHQRtvWBbsGBCthceA+wYryjE\nZKqmIy/BnOidt1Eb4P0Ja4AqkkQVUosjHmkUWHz93YyzqtHRXKrLr5fBoiIbHN8664VtWzDLV8SN\nl73qrTpQKdpQjM2vrwx6YPo1hlRk9XHfZOSBqiBXREhDvD+8vEO9pqqu+lC/lksWqUX4TEH1DOeO\nDR2Iom69afQyhJs8ZkpGxBZxnjiLR3bSm8B3Lzs2+yCDSJr2hrWW6xzaMvI0vvPCoGGbM7BUvI7m\nEhzsdxouSZ6E9bt66qKhqTm2ylUhej4AP/9IGkhZhlsWQlXk9OPOO9LbYPSn1QEgIG2TLaIQ2xIi\nHdgSNa7rwg8zau+qIrbyuXt9ug1W3bHqPx+KYfvLdy0BAICfPLgG/R0AgIdWexG1OHVGRtJT7vI3\n/FbMwMiC67qpNPJGISkyZTJiGwqp5bNQCadSVgQ8fj0rtnQlHJkOR+FsU2FEWz19/cGX+Pn8KohL\nquW0A/742bOgXLAjpYcEdFSRZcTFoxoJ1wWoOQ4UC1YwN8v49j2rtNXWOVTk+rxLPbT50cTTZ48K\n/ja+sxn6qg5USnbdfGDC8YLZoCaJrmGQ1beCvPOEA+P3yDXmQ+pwOuLzU5sifSdyQgmyA+nzF86N\nfLbiuvPih7MRf4dzx+JLBunkT6vKNN565Ynwz8+fFfz/ihOnkM+bhVUMphBKMBLRteK13JsMz38L\nJnTm6rAaQnBCHO4U+0HDdoCiw2BJHB3c+VxYryzMnUk+XvWR40bzbAHqRZdO/so92tfotSE28+ld\necFEbyPIcRTIk1QaVVeIzcTvXQAbWcFMPlkbFRGBLSOtue7+KtgWzTg6acYIAGgMZXFoaxmuvfjI\nOrEVUbswFDbDoebq5dgC6Cs/AyRfX3tTEbpMRWwFjdy24NfvOR5+fAUu90w316jmuGBZ9Ai4Lv15\nbEe9iJMKY4aEx03xVcN/8fA6rTbTIL/TpLFuGh8+cyas/PL5yvFpAS9yrCqb0ig4rhtEbL//1oXB\nPCYrJcdrvmLB8evEHZ/Yx5k4hvxrOWZSJ0wb2Qq9VQfKBbvu/ZnM95s6IjndqbfqaOebZz0KTPUE\nGQ+v3gXbuvRLcolmsqbz+PyUdX2yA18eT6fPGRU5rlIs5FqndPmXzksVHbv85kfJ53RiwQsAryKH\nrN59zUVHwmmzzdYl5wi8YdTfs+bBvT39cMMdyyN/k7/y5+e2GAkqXbZkMvscWAj23mRFpYw4OCUa\nXwkYNGwHKEStV1Xx8Txw/e3hoMcI9KgmEhfcujwGlYLqMdf+BR56aSd0a6jDVjMEbAR+cL9X2uQW\nTXVbgOiCmDYxC0GnJC88yuMIuCiQyksvf4tSZ/PlHQfgpvtWk+X/dYH1Zl5+whRYOHkYfO0NC4K/\n/fV5r44eOcdWUzwKAODnDNpu0vW1Vopa/V4F4QixbQuOnza8biOWBN2811pKDeI0dGmmWMwfHxo9\naYwCmeZ51flzE4/jIHSoeM98IHjAueJRcSoytoSMDryIbZhjK7rRl187PzhGd+/LodYJOj8VX70z\nmuoRfw8l24b+msfAqhQLdY5Rk/l+KsaCjD89o7epzYzYZszF42KOqb+v2gGLv6xPc9/q15emzudi\nr5IiCFx3LIC6P77GsGGbdCflgg1NpQIsnByWLDxqIj/FQ0xbWc/QdD1WDvvVhHjUR3+d7DR7ZPVO\neO/PH4cbbl+eeIy6zfpGZWaNrBHRCPzuyY0AAHDh/LEZRwI8v1m/7vErAYOG7QCFMGzvZdSdAwCY\nlMKtR0PkzqQdo/jQces90SXFBLm7ux8u/eHDdZsDDGr+RiQraiSEnK754/PkNsK2wptMay8r79VC\n1puU29Pf5Hk/MRveFxiTnZhMtXLSkPemUky0gr6JazdeXoiCr9xJW+hkJF1fS7kI+3vNRGuEI4S6\nCdGN8tU0SyfpChTL15mUDyog+v0YZJRXhfGdzUE5q+Rriv40DcppueV+4uyPowzlRqvgghtRRX6L\nH9mQjWndW8HOBSrF9bqILfJcm/d6qTajh1Qi3xOjo1iwoFrzHL0eFTn6rHUN29chDauLjx4HP33H\nYgAA7fkm61lkqSK/55RpWu0mIU3hOb5e/u0Tpwa/i8uL34/qspPG9bf+5WgAADh11kj49XuOz7xW\nLOLNiX7y5iWTgr/ZFsCMUW3KvRQVK7Z4a37W/kL1bP7ynF6JIa89/WvHBAay+qpK10N8Y7efGrUx\noZJBErLWgJmj2kjno0LM3xgGWI9hMdWBhkHDdoBCdNLrbnsBplx1m/Z5dOrwCYiBHUZsae24rltH\ne0qLtNynkSMiTp+1mf/UubMj16UD2dBMi1RlKRVj1Usjhm325SlhEw0/GbP8upnzJ2R7Gmf4k7ZQ\nUqUgrSZwtI0w3+g790SFqrCv1HGzadYfPmMGAAAsSlHbpCLp+toqhUT1bCowNYhVuFOzBqKjKNWE\n+p7m+JPHTNY9ikPbm4pwwXwvh5MaVXVcN33cSafjikclpi0QzsHd5l509LjI/2XnwQ13vMA8u6cS\nCuCtbSJiK5aDz104F1Zed36dFsDzmxoXWTh2Uv34rsbWK+xrFSyBoIJAwJTx/l+wLag6bkBFjkds\ndajITSUb/v2So+r+rqpi8I03Hh2oB28ibtgFsoZPoMWR8NDeduKUBuWlZh8jRySzqk24CeNafq5D\nW0KnyJKpYRSVi9WxNI2CbcHK686Hf/XL6gEArLzufLjzI0uN1AF+/fc8Uc8/ZxipqvntPT9/XLtd\njk3uUZHT7z6rr67ZWa/tEt5i1CmFhfyMZo+uz43GlN6kYvGUsO/d/pGlUC7aKAfS4a72PWjYDlCI\nPE2BRdfdpXUeTWYVAIQ5k8GikDIWVO24bj0dVyzoJ88YUbcg6ZTkwCrBnnNEKFAy9erbye0ARKnB\naWJMLeWMXDVkjq38TCl0K3nOCgQ9NPrBKbNGwj2fPA1ee0x61AogfP5CEIoCnQjqqxZ4EWKq47fm\nupnf+fg5s2HNjRfCb688EZZdcw7893tPANvCUXxkYJwXrZUi9PTXjFBZazWcYfv6Y6Pvk6pmLVDV\npCJzIsQAAL//QHZJCIEhTSVY5NP3qBRo103uXwFTwDVDRU5KO6CclSseFc/NlEvS3HTfarYQSkdz\nCc6cMwqOmdQJLkTr2FqWBeWiXdef3vuLf7LaTINqA9gTMzCxd5zl4CkVbKg6jh+xLdQdT1KJDZgZ\ntpoxEfvTMZM6wbatwOGqW/oq6/13NnvGXpJj17IsqBTN53FjyhHK3eomPy2pnopcf3+YcW1ZFjzx\nhbNTj7lnxTZ4/y8fh+/csyr1OFkfQKBcjL7nYsFT1TaZ/vDYmt2pn5s2g1gCh1b2fkZvqopS1KkU\nd/l9TBtZn+f+9Ia9OheV3qZ0o9NHtsHK685PVED+5Dmzgt8HDdtBGMURY3E8+xmj2uDFL58Pi31v\n4I79vVobC2zO0AwFTaLbpyuIOShtMKg+ccGtm3yFiNEv3rUEXr7hwshnBzRyDVW1O1UQ0QIBHSpG\nTaKppdGNs2g2FgBqpZAnretfOz9SPB2NwCeR3aDq9aYJkcgQggU7NASkdBa5pzfsAQCp3A82Yks0\nxtqbSrB46jCYNbqdnH8n0xqTxq7YBJoo+ROoFGc8z2svPpLdFoCXm9uv4THRFVpyXG/+oOSWtTcV\nobPFS+tIU99WwQU3c9MsXis7Yptk2BJOy6EinzFnVKbRoesQFBCOAgssePTlXXD/yu2wcXc0emhE\n0Rv5CFTkoetvj0amsY9zx37hBFZ/XrQ9KnKfKPcTY6n85vH1uIYkJL3r+CXI/x/f2Qy7u+msGgyu\nOGkKXPPqI+Atx09uyPmTgOkyqnFcZ9gqHmfESSydIn6oitYu4+0/fgxuX7YFbn1CX+MjjjyNkybD\nDom08jNZwDgysiYB1b7GdQHW7eyGLp9BRfXZyq9D9Wqw4ocUrN2JjwLL+9KqoeogAxWDhm3OWDpr\nBPrYUsGGX787zN9YrlEmY+s+nKFxjGKzKNRLEQFb5cbdcVQR2+QuR914AuDpl8WCDWtuDA3pnz20\nhtwWpaTHnz96CvzjqjOUn2GoNABRD+DFx4yDxz53VsrRIeRzUww/Dm1d1Cod2oqXnBfXlKYwnQRR\nX88iGO4A3jvU2Twv39IFf35uK+k7cvQniYLf6VPaTIjEhU6e9Gm9tVKEP37wZOV3sejpq8EDL+6A\ngxr1CHV7meNkR9sF/vu9J8Cbl0yCStEODVviM06L2AJ4fU7cC5+KzPo6APDq2F4coyEngaOm6YK3\nuZKfqTAIBfKoqXjNq4+Az10wV6mkH69xinUmC02MJp+tE1ebLRVC8ahy0Y5EwwH06knr9LnOllLD\n6N2lgg1XnDQ1dY1vBFR9ZuJQz3A6wxfQU4pb5pQOJCMrl5oyR+VV1g0AYHiGIBkWE4c1w9CWUqQM\nVtqxHzlzZt3fbSv73WUtZyq9DhcATvnaPfDp3z4DAHTDNms8UsrxYCFSv95/2vTMY+X7OXkm3g55\nJWLQsM0Z1LXIti348mvnAQDAJ3/ztHa75x45OvVz1cZ2rZ+HEKfdqaD6xHHdQNxJIL6gqyYYCrD0\nS4Gn//UcAAB4UUMJlhKxmz2mHcZ3Nis/sxBUGoD4opp8f3GBsN0HwsUxzHvKbo+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ge3PhGWtdp9AF/DPatNbFexLYuV3hDk1BP6purZLZ1J728DHYOGbYMR70cmqMgU+qzj8vImZVCo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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113079d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Data is once per minute: make time axis in days\n",
    "time = np.arange(len(light))/60./24.\n",
    "# make wide log10 plot with labels\n",
    "figure(figsize=[16,6])\n",
    "plot(time,log10(light))\n",
    "title(\"Data from %s\" % filename)\n",
    "xlabel(\"Time (days)\")\n",
    "ylabel(\"$Log_{10}( Lux )$\") # This has latex code\n",
    "savefig(filename.replace('.txt','.png'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numpy Array Manipulation and plotting\n",
    "How to generate and manipulate Numpy Arrays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x113b71750>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2hFkigjW8DyERXbdu1qFpkb+S2pEiqu65+Mv8/ggzbzh+eR9/ztHzhMkM+Yl8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5omvXr/OF9SQYSLSggl7zAsVbVzJR2m06s9eVPjyWOsamRfJft8xyhe86vVcYG2i3PoiTosVX5m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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111c4b610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "# Setup plotting\n",
    "%pylab inline\n",
    "# Make sample plot\n",
    "imshow(np.random.random((100,100))+np.linspace(0,2.0,100),cmap=cm.inferno)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x114274310>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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0Sg0R6ZO127Cw7Jw+r17MpgYe/ypJgPACCSSQMrHYXIT3qyTX9IU3tZLCP1w6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1117cde10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pGdcaynfRsQTeU5sCfFDcNpJgmcZZm6E18cbMUnzsyQJpVasRaTyytt5b1SSD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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1141a4f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Make an interference pattern with two point sources\n",
    "n=100\n",
    "x = np.ones(n).reshape((n,1))*np.arange(n)-n/2 # X is a 2D array of X values\n",
    "y = x.transpose()\n",
    "r = np.sqrt(x**2+y**2) # 2D array with radius\n",
    "pwave = sin(2*math.pi/10*r) # 2D array with wave (Tip: add /r)\n",
    "imshow(pwave) ; colorbar() # nice graph of point source wave\n",
    "# interference pattern: Add the point wave to the shifted one\n",
    "interpat = pwave[:n-5,:] + pwave[5:,:] \n",
    "figure(); imshow(interpat) ; colorbar() # nice graph of interference"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load FITS file into numpy array and display it\n",
    "Use astropy.io.fits library to open fits file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Filename: /Users/berthoud/edu/outreach/programming/python/skyM104.red.fits\n",
      "No.    Name         Type      Cards   Dimensions   Format\n",
      "  0  PRIMARY     PrimaryHDU      60   (1024, 1024)   int16 (rescales to uint16)   \n"
     ]
    }
   ],
   "source": [
    "# Import\n",
    "from astropy.io import fits\n",
    "import tkFileDialog\n",
    "# Get File name (select a FITS file)\n",
    "fitsname = tkFileDialog.askopenfilename()\n",
    "# Get File information\n",
    "fits.info(fitsname)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('Image Properties:', (1024, 1024), dtype('uint16'))\n",
      "Header:\n",
      "SIMPLE=True\n",
      "BITPIX=16\n",
      "NAXIS=2\n",
      "NAXIS1=1024\n",
      "NAXIS2=1024\n",
      "BSCALE=1.0\n",
      "BZERO=32768.0\n",
      "OBJECT=''\n",
      "TELESCOP=''\n",
      "INSTRUME='Apogee Alta'\n"
     ]
    },
    {
     "data": {
      "image/png": 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+M1CxfD3/SX2DsfmMcbXyCvnxSZ5lmQJyzKSSJ2lcP7O7lNfHym1qEc2N1BZW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\nvndswQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114c6ce90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get header and image\n",
    "img,hdr = fits.getdata(fitsname, header=True)\n",
    "# Get image info and make plot\n",
    "print(\"Image Properties:\",img.shape,img.dtype)\n",
    "imshow(log(img))\n",
    "print(\"Header:\")\n",
    "for key in hdr[:10]:\n",
    "    print(key + \"=\" + repr(hdr[key]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Sort image\n",
    "npix = img.shape[0] * img.shape[1]\n",
    "imgsrt = img.copy()\n",
    "imgsrt.shape = (npix,)\n",
    "imgsrt.sort()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7b492fa2d5454c6fb3f2c68790185aa0"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.scaleshow>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Use interact for image scaling\n",
    "from IPython.html.widgets import interact\n",
    "from ipykernel.pylab.backend_inline import flush_figures\n",
    "\n",
    "def scaleshow(scaletype = 'lin', percent=0):\n",
    "    #clear_output(wait=True)\n",
    "    clf()\n",
    "    vmin = imgsrt[int(npix*percent/100)]\n",
    "    vmax = imgsrt[int(npix-1-npix*percent/100)]\n",
    "    if 'log' in scaletype:\n",
    "        if vmin<0:\n",
    "            vmin = vmax/1000.\n",
    "        imshow(log(img), vmin=log(vmin), vmax=log(vmax))\n",
    "    else:\n",
    "        imshow(img, vmin=vmin, vmax=vmax)\n",
    "    show()\n",
    "    print('Scaling = %s   Range = %.1f%% - %.1f%%' % (scaletype, percent, 100-percent))\n",
    "        \n",
    "interact(scaleshow, scaletype = ['lin','log'], percent=(0,10,0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scipy: 1D Interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy.interpolate import interp1d\n",
    "# X values\n",
    "x = np.linspace(0, 10, num=11, endpoint=True)\n",
    "# Y values\n",
    "y = np.cos(-x**2/9.0)\n",
    "f = interp1d(x, y) # Linear interpolation\n",
    "f2 = interp1d(x, y, kind='cubic') # Cubic interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11a123fd0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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StXlrnd6Wt1LF39vFDYQbPoRju+CL27FZaskozODpX55mf9l+rdMpbmTevnlIKbmu53VO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\nkES2r6/z+/2zFoN/6DnbNZ6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a13e250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xnew = np.linspace(0, 10, num=41, endpoint=True)\n",
    "import matplotlib.pyplot as plt # This is the way to import matplotlib w/o jupyter\n",
    "plt.plot(x, y, 'o', xnew, f(xnew), '-', xnew, f2(xnew), '--') # Several traces in one plot\n",
    "plt.legend(['data', 'linear', 'cubic'], loc='best')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## System Commands\n",
    "How to call system commands."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "*** Output ***\n",
      "\n",
      "*** Error ***\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "import subprocess\n",
    "# open a process\n",
    "cmd = 'ifconfig'\n",
    "cmd = 'say Hello World'\n",
    "process = subprocess.Popen(cmd, shell=True, stdout=subprocess.PIPE,\n",
    "                                   stderr=subprocess.STDOUT)\n",
    "output, error = process.communicate()\n",
    "# Print results\n",
    "print(\"*** Output ***\\n%s\" % output)\n",
    "print(\"*** Error ***\\n%s\" % error)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sounddevice: Play Sounds\n",
    "Make an accoustic sound and play it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Import sounddevice and set sample rate\n",
    "import sounddevice as sd\n",
    "samprate = 44100\n",
    "sd.default.samplerate = samprate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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B1IpWHhVyfm4FgP07VJZvZn9XE0UJYz5MXZ1MrpFZL1bueZiC95z5P/MThaLkwvwK+3c5\nx2MxbCoPv4Yoz8+vVmwk9MQiNIeDnJ3133UGY/n5/RUqzEBAsLezifPz/hyzHWjlUSGWINxX4QNm\nLWNybs5/ysMSCpVa4ft8rDwmFtdYL8iKBWlHc5h4NMSFef9d5/VCkYsLqxVfZyEEezubueBTQXpu\nbmXHZYa2Yl9nsy/vbbvQyqNCLsyvEAkF6IvvPiYMG4L3vA9vNss1v7q7sgesszlMLBry5QN2Zs4Y\n8/4KxyyEYF9Xsy8t0rGFVQpFWbFhBMb97UeFmc0XmFxaq3rMYwtrdbOHS6Vo5VEh5+ZW2dfZvOOa\nVptpawrT1tTAOR8KlXNzK7REQnTvovq2HCEEB7r8aZ2dM72tSj0PgKs6mrjow/CkpfAq9TwA9nYa\nY/ZbcsTYwipFaYSVK2VfVzO5QpHJJX/O6dWKVh4Vcn5+Zdtd9HZiX2ezLz2Pc/Or7O1sqigmbLHP\nr8pjboV4NETHLhaB3My+zmbGF9dY95kgPVuDwtzXaSRHTC75K8vMCiNXG7YCfOll2oFWHhVQKEou\nzlceE7bY3+VP5TG+sFpRrUM5+7uazQl3f2WZnZ9fqTjryGJvZxOFomTCZ1lm5+dXaG1s2NWqyZux\nDCq/CdJSAkyVYavyc1xpaOVRAVPJNXKFYlXxUTAslclkxleCtGim2g5VqTz2dTYjJYwv+iuMM764\nxlB7lWM27w+/LQp5YX6VfdV61daYfaY8zs2v0NbUQFtT5QqzNx4h2hDwZRKMHWjlUQHWhGC1YSvr\nc34SpIl0llyhyFB7Y1WfHzQ/N+YjK7xoeg2DHdWN2brOfhOk44trDFZpJPTEIjQ2BH0nSMcWVtlb\n5ZiFEOzzcZZZrWjlUQGW0K82hONHQTpmjrlaz2Ow3VKY/hnzhsKsbszdLRGawkHO+0iQlhRmlUaC\nka7b5DtBWovCBOP+ntAT5pqdGF9cIxgQFafpWvhRkFpFjdUqj55YhHAwwLiPQjiWwqxFkBoZV/4R\npLUqTPCfIK1VYYJxj4wvrvl2UchaqFl5CCGGhBBPCSFOCiFOCCH+0GzvEEI8KYQYMX+3m+1CCPEp\nIcSoEOKYEOI1Zee63zx+RAhxf1n7bUKIl8zPfEpUM4tpA+OLa/S3RgkFq/u3lQSpj8JWYwuGMBho\nq+4BCwQEA+YD5hdqVZhgCFI/jXm8RoVpfdZPgtRSmIM1KcxGlrN5kmtX3uq6dngeeeB/l1JeB9wB\nfEQIcRh4EPielHIY+J75N8A7gWHz5wHgs2AoG+DjwGuB24GPWwrHPOaBss/da0O/K2Z8cbVqIQo+\nFaSLq+bE4M7bsG6HIVSuHIUJxpj9lG1l3ZN2CNLUWt6ubjmKPQrTf9EEu6hZeUgpp6SUPzdfp4GT\nwABwH/CwedjDwLvN1/cBX5IGPwXahBD9wDuAJ6WUC1LKReBJ4F7zvbiU8hlpmDRfKjuXq4wvrtX0\ncMGGdeYXLi6s1hTKAOMB89M8z7gNCnOgrZG0jyxSy9uqRZBaynbMJ4aC9RxWmwwCG/8vPxlHdmHr\nnIcQYh9wK/As0CulnAJDwQA95mEDwFjZx8bNtsu1j2/RvtX3PyCEOCqEODo7O1vrcF5FLl9kOpWp\n6eECyyL1z41WS42HxVBHIwsrOVay/rBIxxZrV5gD5n3iF+9jfHGN7litHqa/rHBL4A+0VX+th3w2\nZjuxTXkIIVqArwP/QUqZutyhW7TJKtovbZTyc1LKI1LKI93d3Tt1uSKmkmtIWZtlBsYDNrecYy2n\nfq1HLl9kKpWpKRsF/CdUxhZqm0QF/1mkhsKsbcwlhemTSfPxxTW6WsI0hqtXmPHGELFIyDf3tp3Y\nojyEEA0YiuPLUspvmM0zZsgJ83fCbB8Hhso+PghM7tA+uEW7q9gREzY+bz1g6guVySVDYdYqVIZ8\nJEjXC0WmktUXRVpYIRw/CdJa7+32pgaawkFfXGcwxjxQ45iFsOYx/TFmO7Ej20oADwEnpZT/teyt\nRwErY+p+4Ftl7R8ws67uAJJmWOsJ4B4hRLs5UX4P8IT5XloIcYf5XR8oO5dr2DG5Vv55a1JWZWqt\n8bDwk+cxtZShKKk5bNXRHCbaEPBF2KpQlEwu1e5tCSF8lSgwvrha85jBf5l1dmGH5/F64LeBtwoh\nXjB/fhn4S+BuIcQIcLf5N8BjwFlgFPg88GEAKeUC8BfAz8yfPzfbAH4f+IL5mTPA4zb0uyImzBqP\n/gq259yKDUGqvqViKbhalUdXiyFI/bARVslIqLK63EIIwUBboy88j+lUhnxR1nydwfC4/CBIi0XJ\nhA0KEzYy6/ySomwXoVpPIKV8mq3nJQDetsXxEvjINuf6IvDFLdqPAjfU0M2aGV9coy9efY2HRXeL\nVeuh/gM2vrhKqIaiSAvDIvWHdVbytmr0PMA/Fum4DZlWFoPtTTx/YbHm8zhNIp1lvSBrDtWB8X9L\nmynKrU0NNvTOH+gK810yXmMlqoWfaj2mkxl641GCFe5dshWD7Y2+SOEcX1wjIKjZwwRjAtkPnsdY\nKWXVBs+jvZFUJk8qo3aK8njJSLDH8wD/pCjbhVYeu8SIj9b+cIF/iuYmk2u2CFEwBJMfFObkkqEw\na/UwwQjhLKzkWM2pnaI8vriKENDfVvu1HvRJirJdCTDl5/DD/W0nWnnsAqvGY8AGKwX8Uyg4nczQ\nX0OVdTn9bVGSa+vKC9IpGxWmJUhV32luailDV0uESKj6lFULS5CqrzysGg/7PA8/GIR2opXHLphJ\nGRk4g3YJ0tZG5ldySu/rIaVkKpmxTZBa55lKqr3T3JSNCtMvqyhPpTLssek6W8JYdUE6mczQ0Vxb\njYdFa2MDzeGgL0KUdqKVxy6wBJ4dbj1sCNKZlLqCdGElRzZftFF5GEJlSuFtSqU0UlbtE6T+sMKn\nltbos2nMXS1hIqGA8oJ0ammt5kQQCyEEfa1RphU3jOxGK49dMJU0HgTbBanCN1tJYdrueagrVBZX\n18nmi/S12uN59MQiNASF+oI0mSndk7UihJHOrvK9DcaY99hkDALsaWtUfsx2o5XHLrBuCruEiuXB\nqCxIN5SHPWPu80HYyroednkegYCgJxZlRuExpzPrLGfztgpSP1jh06mMbd4WQF9c/THbjVYeu2A6\nmSEWDdESqbksBvBH/H/a8rZsEiqRUJCulrDaCnPJCk/aozAB5a1wuw0jMAwOlce8liuwtLpum2EE\nxnVOpDPkC0Xbzqk6WnnsAjszcACawiFaGxuUjv9PJjM0BAVdzRHbztmnvCC11/MA6G2NMq3w3JaV\nCWbnmPtao0aSSVHNimu7w9BgGBxFaRQfXilo5bELppIZWy0z8IFFurRGbzxKwIYCQYv+1kblFWYo\nIOhqsU9h9pvhDFWXrpgueR42CtLWKPmiZG5FTUHqxJj9EJa1G608dsFU0r5URov+1ijTKYVDODam\n6VoYClPhMTugMPtao6ytF5TdXW8ymUEI6LUp8wg25slUnQOYNPu1x+awFag9j2k3WnnsQC5fZG45\na6uVAkaMWWUr3M4MHIv+VmPpClU3hZq0OQMHNixSVUNX08k1MyvMPlFgCdJJRe9vaz7PXm9LbYXp\nBFp57MBMKoOU9sZHwYgxq1ooKKU0qsvtHrPiWWbTjihMtcfsREi2pDAVHfNkMkN7U0NNuyZuJh4N\n0RQO6rCVZgPLYrRbqFgPWCKlXlx4fiVHrmBfgaCFVZSl4gNWLJoK02bPwwoHqWqR2lkUadHRFCYc\nDDClrLdlv5FgFQqqaiQ4gVYeO2B3sZzFHjMddFLBm82JlFXYGLOK4TpLYdoZBwfoiUURQs2wlbUE\njd0h2UBA0NsaUVZhOjGfB+onwdiNVh47MLVkf3y0/HwqPmBOpDLChhWupMJ0aMzhUIDOZjUFaSqT\nZzVXsF1hAvTH1a31mEqu2e5hghGdUPE6O4VWHjswlczQEgkRi9q7yUtpUlFJQepMqC4cCtDVoqYg\ndWrMxjnVrPWYsrkQtJz+NjUrrp0oELToN+tbrpRCQa08dsCJiWPYKBRU8QGbMgsEO5vDtp97T1u0\nlCqpEglTuPe22lfjYdGr6NIVToVkYWOJEtXqWywlbteiiOX0tUYpSphdVm8e0wm08tiBqaR9K45u\nRtUYqTVmO+sdLHrj0ZKgVomZVJZgQNBpY0W9haqeh7Xmlp01Hhb98Si5QpH5lZzt564FKwzthLe1\nxwcLntqJVh474NTkGqi7gNzUkv3ZKBa98YiSS9HPpDJ0t0Rs2XJ3M32tUZZW11nLqZWWPWNm+vXE\nnLDC1ax7cNrzADUTQpxAK4/LkC+YBYIO3GgAvTFjMTXVmErZu5ZXOb2xKIur68rVt8yks/TE7fc6\nYENQqeZ9JNLGhkjhkP1iYKNQUK05PUthOuFtWddZRePICbTyuAzzKzmKEnqcUh7xCLPpLAWFFpCT\nUjKTdFBhmuedVWwBuUQq44gFDhuCVDUrfCaVpSfmkMK0NjxT7DrPpIwEmGabVsgup62pgXAwwIyC\nBqET2KI8hBBfFEIkhBDHy9o6hBBPCiFGzN/tZrsQQnxKCDEqhDgmhHhN2WfuN48fEULcX9Z+mxDi\nJfMznxJC2B9b2ALLgnDCSgFDKRUlzCs0wba0uk6uUHRwzIawUs06S6Sz9DrkefSWlihRywpPpDOO\nXefO5jABAbOKXedZBz1MIQQ98YiShb9OYJfn8XfAvZvaHgS+J6UcBr5n/g3wTmDY/HkA+CwYygb4\nOPBa4Hbg45bCMY95oOxzm7/LETZiwg4JlZKbq87NZllNTj1gKo45my+wsJJzTJCWwlZJdcYMhgJ3\nSmGGgkZatkrXGcwxO+RhgiErVDOMnMIW5SGl/CGwsKn5PuBh8/XDwLvL2r8kDX4KtAkh+oF3AE9K\nKReklIvAk8C95ntxKeUz0sj7+1LZuRzFac+jV0ErPOFgTBjUjAtbITSnjITmSIhYNKTUWk+FojSs\ncAcFaW88qlwIZyadccwwAnPMCt3bTuLknEevlHIKwPzdY7YPAGNlx42bbZdrH9+i/RKEEA8IIY4K\nIY7Ozs7WPIBEOosQ0NVif70DlFnhCj1gJYXpkFBRMS5sbeDjlMIE9dJ151eyFCWOeR5gZdap43lI\nKZlJZR29zr3x6BWzIZQXE+ZbzVfIKtovbZTyc1LKI1LKI93d3TV00SCRytDVEiFk43LV5VhxYZUe\nMOvGv5LiwlbdidMWqUoT5tb/36lkEOvcKtX0pNby5PJFxzxMMO6hdCbPak7NbQfsxEnlMWOGnDB/\nJ8z2cWCo7LhBYHKH9sEt2h3HyZgwbMSFVXrAEqkM8WjI1uWqN6Oaa+9k+qaFagWhTodkwQgDzq/k\nyOXVWK7D8nYd9Txi6q6WbTdOKo9HAStj6n7gW2XtHzCzru4AkmZY6wngHiFEuzlRfg/whPleWghx\nh5ll9YGyczmKkcro3I0GagpSJx8uUK9QcCZlbD/b0eRMeBKMuZ7Z5awy6x5tKExnvS2AOUWyCa17\nzknPo1fBOT2nsCtV9x+BZ4BrhBDjQogPAn8J3C2EGAHuNv8GeAw4C4wCnwc+DCClXAD+AviZ+fPn\nZhvA7wNfMD9zBnjcjn7vhJHK6NyNBurFhZ2eUASjolklyyyRztIdiziyHItFb2sUKWFuWY3lOmZS\nGXM+z9k5D+u7VMDpZBDj3OaYr4B5D1sqZaSU79/mrbdtcawEPrLNeb4IfHGL9qPADbX0sVLWzXV5\nnPY8euJRXhhbcvQ7KiGRyvLa/R2OfkdvPEo6a2xH60SxVqXMpDKOxv5hI5wxk7J//4xqSKSzdDaH\nbd1+djM9MbXSsp1OQzfObYWt1FCYTqIrzLdhbjmLlM5aKWAIlbnlHOsKhDOklCTSLghS8+FVJSsl\nkcrS62AoA8p2FFREqDhZUW9hjVmVJXgSqSyxaIimsHMGizFfGFDG23ISrTy2wY2YcPn5VViuY3F1\nnfWCdDQmDOrFhd0I1VlLvatikc64EJLtbA4TDAh1rnMq4/i9LYQw5zG9f56dRiuPbXAjG6X8/Co8\nYAkXslGM86sTC8/mjc2BnKw6BuhsjpiCVA2h4kZiRCAg6FaoytxYgsb5kGFvTK0kGKfQymMbEi5k\nZgB0xyzYD6hbAAAgAElEQVRB6v0D5pa3tREX9n7MbkyiAgRNQapC2MpaLdrp8CQY95Iq4Ukj9d75\nMfcoNGYn0cpjGxLpLAEBnQ5mo4BaceGNVEZnH7BYJERjQ1AJ6yzhwiSqRW+rGhbp/EoOKZ03jECd\nQkEpJYmUc4silmOl36u2i6LdaOWxDTOpDN0xZzYHKkeluPCsw9XlFkZcOKJEOqOTGyJtpjemRmW9\nWyFZ4zvUqOmxVot25TrHI6zmCixn67vKXCuPbXAjJgxGXNhYiVMNodLa2OBodblFTzxa2gbVS0p7\nl7tkkaoQtnIrPAkbm39l895u/rWxfpk71xnUCEU7iVYe2zDjQiqjRY8iVeZuZKNYqLLi6kw6S0NQ\n0O5gdblFX2uU5Jr3uyi663moMb/l5ph7YldGrYdWHtuQcHDTmM2oEs5wKxsFoM8MZ3gdF7aMBCer\nyy0sxez1tU6kMsZ8XrPzCrO7VNPjrSB1erXocjaqzLXyuOLI5YvG5kAueR6qWOFuTSiCMebMepFU\nxtu4cCKVLWW8OY0qhYKJdJZOB1eLLkeVhQKdXi26nB4dtrpymV12Lz5qfc/SqrfhjFJ1uYuhOvDe\ntXdj/TKL0r7eHo/Z6dWiy1GlpseN1aItWiIhmsNqZBM6iVYeW+BmfBQ2BKmXVeZWdblrQkWR+ha3\nEiPg1etbeclMKuuaV93eFKYhKDzPrHPzOsOVsSmUVh5b4MbmQOWoUGXutsJUYcyZ9QLJtXXXkgTi\njSEiIe/XPXJj/TILI5vQ+4QQYzkW95SHseGZ9jyuONzM/Ydy1947S8WNvQ7K6VFgUtGN3fTKEULQ\n1+rtukfrhSJzyznXPExAiZ0jE6msa/c2WIWC2vO44kikMwQDwpVsFFAjnOHGPt7lNIVDxKIhT4WK\nW2t5leP1ukelQlCXDCPju7wtFHRrtehyroQqc608tmDGtFLcSN8EaGtqIBwMeGyFG9/tVuYReL+L\nopvFchY9Hldcu1ksZ+F1/N/t+TwwFGY2XyS1Vr9V5lp5bIEbmwOVI4Tw3LVPpLOuVZdb9Ma9XSjQ\nrbW8yrHCGV5ZpG7PbVnf5WVxpFdjhvqu9dDKYwvc2BxoM95b4e6lb1r0erwdbaJUXd7g2nf2xaOs\nrRdIe7TukdvJIOB9caTb83mgRkKI02jlsQVubA60Ga/jwkaozt3tUXviURJp7+LC1m56QrgTnoSy\nRAGP1vWaSWXN+TwPBKlHVrjb83nGdxn/32kF1m9zCq08NuHW5kCb8TouPOviciwWvfEI6wXJ4uq6\nq99r4cZuepvxetG8mVSGrpaw46tFl+O1Fe7FfF5pfas6rvXQymMTbm0OtJmeeIR0Js9qzv1wRrEo\nzUprl8fscZaZF95Wn9eC1MX1yyx6PC4InUllaWtydz6vMRw0swm15+E5Qoh7hRCnhBCjQogHnfoe\nNzcHKsfLNYAWV3Ou7F2+md7SonneCJWEB/M81n3lVaKAm6tFW1jZhF4tjmgsu+PudQbvowlO4wvl\nIYQIAn8LvBM4DLxfCHHYie+a8dDzAG8EqRcx4fLv88IKX8sVSGXyrmbVQXl9i5eeh7uC1OtsQreX\nJrFQZSMsp/CF8gBuB0allGellDngK8B9TnyRF5kZ4K0g3UhldHfM3aUsHPfH7EWBoEWfR9XH2XzB\nWC3aE0HqXTZhwgNvC6yCUO15eM0AMFb297jZZjsJFzcHKsfLKvOEy8uxWEQbgrQ1NXjygG0sQeNN\nOMOLsNVGdbn7Y/Yqm9CYz3Pf2wJjL5PZtHc1PU7jF+WxVWrIJVdECPGAEOKoEOLo7OxsVV/U1BDk\n5sE216rLLeKNIcKhgEdhK/ezUSy8Wq7DS8/Dq0XzvApPWt/pxb29uJojX3R/Pg+MeztXKLLkUTah\n0/hFeYwDQ2V/DwKTmw+SUn5OSnlESnmku7u7qi/6g7cN88jvv666XtaAEIJej4SKF9koFj3xiCdC\nxYulSSz6TEFaLLprkXpRIGjhVTahV3OY5d9Zr1XmflEePwOGhRD7hRBh4H3Aox73yXa8ipG6uXf5\nZnpiUW+s8FSGcChAa6N71eUWvfEo+aJkfiXn6vd6Kkg9yiacKWVPeuNhgvd71jiFL5SHlDIPfBR4\nAjgJfE1KecLbXtlPTzziiZXiRe6/Ra/pebhthVsK083qcguvdtebSWUIBQQdLs/ngXcJIQmPkkGg\nXGFqz8NTpJSPSSkPSSmvllJ+wuv+OEFPLMqsB1aKV9kosGGFL6y6a4V7qzCt6mO3lYexX7vb83ng\nXSq65el4MZ/nZfq9G/hGeVwJ9MajpLN5VlxcNM/KRvEiDg7eWuFeWKOwoTymky4LUpf3tCjHq2zC\nmXSGtqYGIiH35/OiDUFaGxvqttZDKw+FKK0+6qKlYmWjuL2KsEW3R7HwhAdLk1h0xyII4UUIx/3V\noi2sLXjdtsJnUtnSkjBe4PWCp06ilYdClMIZLt5spXoHD+c8wN0QzmouTzqb98zbaggG6GyOuB+2\n8mD9Mgsjm9D9tOyEy3vzbKaelyjRykMhSiEcF2+2GQ/rHWAjFu1mRkpp8UuPPA8wN8JycbnuzLq5\nWrRHChO8scJnPPS2QI39251CKw+F6PEgO8PLbBSASChIR3PYVaHixc5ym+l1eYmSUnX5FWSFF4qS\n2WXvEiPATEX3cM8aJ9HKQyG8iAvPeJiNYmFYpG56W94VCFr0mhthuYVXa7aV47YVPr+SpVB0d+/y\nzXi9Z42TaOWhEF7EhWdSGTqaw55ko1i4LUhLldYeh63mlnPk8kVXvs/LpUkseuNRlrN5ll3KJtxI\n0/V2zFCf29Fq5aEYbi/jbGyI5J1lBu7HwhPpLJFQgHhjyLXv3IwlVGaX3bHEVQjV9bi8ivLG+mXe\neh7gnvKYTWf59PdHOD+34vh3aeWhGMZyHS5OHnuYgWPRG48yt5yj4FKVuVHj4e7e5Ztxe0fBmZS1\nWrT7y7FYbBRHuqUwvfe2elxORT8zu8x//s5pJpbWHP8urTwUw+2FAr0slrPojUcoFCXzK+5Z4V6P\nubTukUsZV9YqAl4qTLetcOt7vJzPK+1Z41JY1s29ebTyUAw348KFomTWw2U6LHri7lpnXhYIWrgd\nCzdqPLxWmO5e55lUlq6WMA1B78Sc23vWJFys29LKQzHcjAvPL2cpSm/TN8EDQZryPlTX0RSmIShc\nq+lRQWHGIiEaG4KuXWcv12wrx805vZlUhsaGILGI8/N5Wnkohptx4VJMWIEJc3CnUHA5m2clV/Dc\nCg8EBD2xqGthKxVCddZe5m4pTBW8LXC3vmXG3DXRjfCkVh6K4WZcWIUMHHA3LmxVdXs9ZnBvCf61\nXIFUJu+5hwlGVb9b2VYzKe9DsuDunjUzSfe8aq08FMPNhQK9XprEoiEYoKsl7IrnkVBEYYKRceXK\nmBW5zuBeQki+UGRuOauGwnRxzxo31y/TykMx4tEQ0YaAK1b4TCqLENDV4v7mQJtxyzqbUSD336I3\n7k7YysstdzdjFcE6vVzH3HIOKdUYc08s4sqeNVJKV8OTWnkoxkaVuTtWeFdLhJCH2SgWvS6FcFTI\n/bfoiUdc2b9FlfAkGIJ0NVdwPJtwYzkW78fc61KWWSqTJ7Ne1J7HlYxb2RkqTKJauKUwp5MZYpEQ\nzS5ko+xEn0vJEdb5vV5JANxLCEkosH6ZhRU6c9o4Ki27o5XHlUtPPFpaBdVJjOWqvbfMwBBsc8tZ\n8gVn13oydtPzXqBA+Y6CzguVcChAa6N31eUWPS4lhKjmbYHz6fduZ09q5aEgvTF3Fkf0clvSzfTE\no0gJ8yvOxoVVycAB9zbCsjxML6vLLdwK4SRSGQICOpsVmM+zrrPDY7ZkRl+r9jyuWHrjEVYcjguv\nF4rMLeeUcOvBvUJBFQoELdwbs1oeJrgzZlXm8yKhIO1NDY6HraZdnufx/j+ruQQ3XPtZBZboLmej\nvsU560xKaezjrciYWyIhmsJBppMOW6QKLH5pYY3Z6TkPlcYM7szpJVIZ4tEQjWF3tleoSXkIId4r\nhDghhCgKIY5seu+PhRCjQohTQoh3lLXfa7aNCiEeLGvfL4R4VggxIoT4qhAibLZHzL9Hzff31dJn\nP9DrQq2Hmwuo7QY3rPDF1XVyhaIyYy5l1jk+kZr1dHHActzas8YIT6oxZjAKYd2Y83BTYdbqeRwH\nfgP4YXmjEOIw8D7geuBe4DNCiKAQIgj8LfBO4DDwfvNYgL8CPimlHAYWgQ+a7R8EFqWUB4FPmsfV\nNaUF5BwUKpYVpEIqIxix6YBwdlJRpUlUi964s0JlxVxkU6Ux98Sc31EwkVJnPg/cWaLEbW+rJuUh\npTwppTy1xVv3AV+RUmallOeAUeB282dUSnlWSpkDvgLcJ4yZvLcCj5iffxh4d9m5HjZfPwK8Tagw\n8+cgboStVKo6BggFA3S2OLsdrZrKI1qKVTuBSimrFk57W7l8kfmVnDLzPOBOlbnbIVmn5jwGgLGy\nv8fNtu3aO4ElKWV+U/urzmW+nzSPr1us1UedDlsFA0KJbBQL4wFzw/NQTJCmso5VXKuoMK06JqfG\nbO3OqNJ17olFzT1rnMkmLBalubGbe2PeUXkIIb4rhDi+xc99l/vYFm2yivbLnWurvj4ghDgqhDg6\nOzt7me6pjREXdnb1UWv72UBAHSfOSFF2dsygTqgODKGeyxdJrq07cn5VFWZmvUjaoWzCUnW5UmN2\nNi17cTXHekG6aiTsWGYrpXx7FecdB4bK/h4EJs3XW7XPAW1CiJDpXZQfb51rXAgRAlqBhW36+jng\ncwBHjhxxZ09Th+hxuNZjRrGYMBhzPS+OLzl2/plUhs7mMOGQOkmGllCZTmVoa7LfC3Rzc6DdslH3\nkCEetb9wMeFyyupuKN8I6/o99p9/2gMjwamn6FHgfWam1H5gGHgO+BkwbGZWhTEm1R+Vhv/6FPAe\n8/P3A98qO9f95uv3AN+XTq+qpgA98YijVeaJVNbzfTw20xuPMLecY92hKnMVFeZGlpkz13omlSHa\nEHBlc6Dd4vSYE4qloYPz2YReGAm1pur+uhBiHLgT+GchxBMAUsoTwNeAl4F/AT4ipSyYXsVHgSeA\nk8DXzGMB/gj4mBBiFGNO4yGz/SGg02z/GFBK761nnF59VLU8eNiwFJ1Smqqlb8LG+lZOCZUZc5th\nlXJMnC4UVHE+r7vF2TomL+a2ajJHpJTfBL65zXufAD6xRftjwGNbtJ/FyMba3J4B3ltLP/2Itfpo\nOpu33bXPrBdYWl1XTpBuxIWz7GlrtP38M6kMh/vjtp+3Fqz6C6eWZp9JZkoKShU2UtGdMxK6W9Sa\nzwuHAnQ0hx2b89iYz/N/2EpTI9b6NE7UAKgYBwdnXXtrc6Bel9b92S3RhiBtDi5dMZVao1+xMbdE\nQrREQo55HtPJjGvrO1VCTyzi2CKYM+kMXS1hGlxcjkUrD0XpbzUs78kl+282VXYQ3Ez5RKrdzC3n\nKCqyOdBmnNpRsFiUzCSz9LXa78XVSk/cuW0HppLqKUyA/lbnanpmkhnXEwS08lAU6+Z3wlKZMs+p\n2gPW2RwhGBCOCNJSTFihDByLHoeW61hYzZErFJW7zmDce1MO3NtSSqaSmZLxpRL9bY2OeR6TyQx7\n2rTy0LDhFTjxgE0trQHqKY9gQNDd4oxFav0fVQxn9Dq0+de0wmPuizsjSFOZPKu5gnL3NkB/PMr8\nSo7MesH2c08n11y/zlp5KEo4FKCrJcJ0as32c08lM7REQsQcyLGvld54xBHXfiqppsIEQ7jPprMU\nbF66QlUPE2BPm+Ft2b35l9IKs9WZOb21XIHF1XXXvS2tPBTGKdde1ZgwGHM9Tox5OpkhYma8qEZP\nPEpRwtyyveE6S2GqKkiLcmMpEbtQ2UiwMgjtvr8tY8vtMWvloTB9rVGmHJgwVzUbBaC/LcrU0prt\n9S2TyQz9rWrVO1j0OlT3MJXMEAoIuprVSxLY41BCiOV59DuQ6l0rfQ7NY1phaB220pQwPA/7w1aT\nyUzp4VWNPa2NrOQKpDL2rns0teR+THi3bIQz7LXCp5NGIahK9Q4WjgnSZAYh3K132C2WZzBp8zNt\neTJuP9NaeShMf2sjqUyeFRsXkMvljXoHVQVpf5uVKGD/A6aqwrSSI+ye61E5PGldC/uv8xrdLRFX\n6x12S1M4RGtjgwMKU3semk2U0nVtFCrGkie4nta3W6xJPzvDdYWiZDqVKSkm1XBqIyyVw5PxRmPb\nAbvj/1NmeFJVnJjHnEpm6GgOE21wZ/tZC608FMYJ195SRCoWjsGGUrPTtZ9bNjKZVB1zKBig2+Z0\n3Y16BzUFqRDCmN+y2fOYVrTGw6LPgVD0lEdL0GjloTClGOmSfTebda49igqV7pYIAWGv56H6mMHa\nUdC+OY+l1XWy+aKyChOcscJV9rbArDKvE29LKw+FKcXC7fQ8FM6DB8MK741HbfU8Nuod1BWkPbGo\nrWErlWs8LPpbG201EtKZddLZvPJjnlvOkc3bVyg4lVzzJCSrlYfCRBuCdDaHmbJZqMQULRC06Lc5\nRXlS0Yr6cvpa7Q1bWcWlqhoJYFyPRNq+QkHVDSMoX/DUHi9zLWeskO2FYaSVh+L02ezmTnmwjEGl\n9Lc12hoXnkoaGyK1NamrMHtjURZX121busIvnkdR2rc0eyllVcEaDwu7Q9GlTCs956HZjN1x4alk\nRskCqnL2mGO2q1Bw2kzTVbFA0MIKUdq1EdbUUqa0VpiqWILUrvu75Hkotlp0OZaHYFcG5UZRpFYe\nmk30tzbaOmFu1Duo+3CBMeZsvsjCSs6W8016FBOuBGufEbtCV+OLq/TFo4QUrHewsLumZzK5hhDq\nbTVQzobnYc91nvRwPk/dO0sDwEB7I8m1ddKZ9ZrPpXqBoMWeNnst0qmlDH1xtb0ta58RuyzSiaU1\nBtrVHnN/3N6anvHFNXpjUcIhdcVac8QoFLQtbOXhfJ66/2UNAIOmAJiw4WabTpoFggpnHUFZoaAN\nyiNfKJJIu7/XQaVY+4zYtUTJxOIag4qHJ+ONxo6CdtzbYI5ZcYUJxjM9vrhqy7kmltboanG/QBC0\n8lCewfYmAMYXan/ArBt2sEPtB8zOcMZ0KkNRqp2mC9DW1EC0IWCLRbpeKDKdyigvSIUQpiC1R3mM\nL60q720B9o55cY0BU0a4jVYeimOn52HdsEMe3Wy7pas5QjgYYMKGB6w0ZsUVpiFIm2yxSKeThsL0\njyCtfcz5QpGpJfUVJmBeZ3tWjh5fXPVszFp5KE5nc5hoQ8CWB2xscZVgQCidvgkQCAgGbLLOxhZM\nb0txhQn2WaRji34acxMTNgjSmXSWfFH6ZMyNrK0Xak4IKRYlE0vehepqUh5CiL8WQrwihDgmhPim\nEKKt7L0/FkKMCiFOCSHeUdZ+r9k2KoR4sKx9vxDiWSHEiBDiq0KIsNkeMf8eNd/fV0uf/YYQgoE2\ne4TK+OKa8hk4FoPtjSUhWAvji0YGjupzHmB4hJayqwXLYxtQfM4DjOuczuZJrtWWEGKN2S+eB1Dz\nM51IZ1kvSM8iCbVKkSeBG6SUNwGngT8GEEIcBt4HXA/cC3xGCBEUQgSBvwXeCRwG3m8eC/BXwCel\nlMPAIvBBs/2DwKKU8iDwSfO4KwrLza0VL13cShnqsEeQjpkpq5GQ+xOKlTLYbizBX7MgXTIUpurp\nyWCfILU8c78oTKg9FF2aw/Sj5yGl/I6U0tps4qfAoPn6PuArUsqslPIcMArcbv6MSinPSilzwFeA\n+4RRvfVW4BHz8w8D7y4718Pm60eAtwmVq70cYLC90bY5Dz+49WBY4Yur6yzXuJfJ+II/MnDAUJhA\nzSHK8cU1emIR3yhMsGfMoHZ1ucWATWP2OjxpZ/zid4HHzdcDwFjZe+Nm23btncBSmSKy2l91LvP9\npHn8FcNAeyMLK7maNoXK5gtMpzLKTxxbWP2s1fsYX1xVPkHAwurnWI2ZdRM+MxLAHs+jJxbxJGW1\nUuLRBlobG2of84K3obodlYcQ4rtCiONb/NxXdsyfAHngy1bTFqeSVbRf7lxb9fUBIcRRIcTR2dnZ\n7YbkOyxBUIv3MbVk1Hj4TajUojxy+SJTqQyDHf4Ys21W+NKqL8I3AK1NDcSioZoFqZcTx9Vgxzzm\n+OIaXS3eKczQTgdIKd9+ufeFEPcDvwq8TW6kTIwDQ2WHDQKT5uut2ueANiFEyPQuyo+3zjUuhAgB\nrcDCNn39HPA5gCNHjtizMJIClAuVQ72xqs4x7qMJRdgI4YzV8IBNLq2ZCtMfY25raqAlUpsgLRQl\nU0sZfvUmf4wZDIOmdg9zjZsH23Y+UBEG2xs5P79S0znGl7ydw6w12+pe4I+AX5NSll/9R4H3mZlS\n+4Fh4DngZ8CwmVkVxphUf9RUOk8B7zE/fz/wrbJz3W++fg/wfWnXink+oTTBVoNQsazZIZ9Y4e1N\nDTSHgzUJFb/UtVhYRXO1jHkmlTFTVv2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PTs/yxIkZfuf1+2mug+U5tkIIwUfecpCRxDJ/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\nGo1GUzFaeWg0Go2mYrTy0Gg0Gk3F/P8BfAUo9OswywAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139ed1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Time array (in seconds)\n",
    "duration = 2.0 # seconds\n",
    "times = np.arange(samprate * duration) / samprate\n",
    "# Soundwave: Scale from -32000 . . 32000 (up to 32000 possible)\n",
    "freq = 440 # 440 Hz\n",
    "sinewave = 32000 * np.sin( 2.0 * np.pi * freq * times )\n",
    "plot(times[:500],sinewave[:500])\n",
    "sd.play(np.array(sinewave, dtype=np.int16) , blocking=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
