From 607d95b19c00d45332e0613482d254079166910a Mon Sep 17 00:00:00 2001 From: Michiel van Galen <m.van_galen@lumc.nl> Date: Mon, 14 Jul 2014 14:53:13 +0200 Subject: [PATCH] Solutions ported from other repo --- solutions/notebook.ipynb | 267 +++++++++++++ solutions/numpy-matplotlib.ipynb | 666 +++++++++++++++++++++++++++++++ 2 files changed, 933 insertions(+) create mode 100644 solutions/notebook.ipynb create mode 100644 solutions/numpy-matplotlib.ipynb diff --git a/solutions/notebook.ipynb b/solutions/notebook.ipynb new file mode 100644 index 0000000..b9adb41 --- /dev/null +++ b/solutions/notebook.ipynb @@ -0,0 +1,267 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:e94271a07f14be86cf54e39526ee9cc758acb8b4bebac46472bd7f94a34a1747" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Palindromic sequence analysis" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notebook by: [M. van Galen](mailto:m.van_galen@lumc.nl)\n", + "\n", + "License: [Creative Commons Attribution 3.0 License (CC-by)](http://creativecommons.org/licenses/by/3.0)\"\n", + "\n", + "A palindromic sequence is a nucleic acid sequence (DNA or RNA) that is the same whether read 5' (five-prime) to 3' (three prime) on one strand or 5' to 3' on the complementary strand with which it forms a double helix. Palindromic sequences play an important role in molecular biology [1].\n", + "\n", + "[1] http://en.wikipedia.org/wiki/Palindromic_sequence\n", + "\n", + "This notebook will demonstrate how we developed code to identify palindromic sequences.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "<figure><img src=\"https://git.lumc.nl/humgen/programming-course/raw/master/images/1590px-DNA_palindrome.svg.png\" align=\"center\" width=\"500\" ><imgcaption>Figure: Example of an hairppin formed by palidromic repeats.</imgcaption></figure>\n", + "\n" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Translate a given sequence based on a dictionary" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To find palindromic sequences we need to be able to create a sequence complement." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def complement(seq):\n", + " complements = {'A': 'T', 'C': 'G', 'T': 'A', 'G': 'C'}\n", + " c_seq = ''\n", + " for n in seq:\n", + " c_seq = c_seq + complements[n]\n", + " return c_seq" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "A simple string reversal function" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To get the reverse complement, we need to reverse the sequence also." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def reverse(seq):\n", + " rev = seq[::-1]\n", + " return rev" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Function to test if a sequence is palindromic" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The functions above can be combined to test a sequence being palindromic." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def palindromic(seq):\n", + " if seq == reverse(complement(seq)):\n", + " return True\n", + " return False" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Testing a larger sequence" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we implement the palindromic function in another function. We create a loop which checks for palindromic sequences in a longer piece of DNA. We start to test subsequences with a length of 2. This can be increased by setting the window size parameter. If we find a palindromic sequence, we need to expand our test into both directions. \n", + "\n", + "A palindromic sequence has to have a length of an even number. It's impossible to have a palindrome sequence of length 3, 5, etc. \n", + "\n", + "Below we test te sequence and we find a pattern on position 5-6. We expand our window both directions and find the pattern to span position 4-7. If we expand it further our palindrome will break.\n", + "\n", + "CCCTTAACCC\n", + "\n", + "CCCT*__TA__*ACCC\n", + "\n", + "CCC*__TTAA__*CCC\n", + "\n", + "CC~~CTTAAC~~CC\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def find_palindromic_seq(seq, window = 2):\n", + " for pos in range(0, len(seq)):\n", + " m = 0 # The modifier to incres the window in both directions\n", + " while palindromic( seq[ pos - m : pos + window + m ] ) and pos - m >= 0:\n", + " print 'Palindrome found at {0} {1}'.format(pos - m, seq[ pos - m : pos + window + m ])\n", + " m = m + 1 # We increase our window modifier as long as the palindrome grows" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Apply some input to the code" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "reverse('AACGT')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 6, + "text": [ + "'TGCAA'" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "complement(_)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "'ACGTT'" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "palindromic('AACGTT')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 11, + "text": [ + "True" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "find_palindromic_seq('GGGAGACATGTCTAACCGTTGTAAAA', window=6)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Palindrome found at 5 ACATGT\n", + "Palindrome found at 4 GACATGTC\n", + "Palindrome found at 3 AGACATGTCT\n" + ] + } + ], + "prompt_number": 9 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/solutions/numpy-matplotlib.ipynb b/solutions/numpy-matplotlib.ipynb new file mode 100644 index 0000000..1a2e807 --- /dev/null +++ b/solutions/numpy-matplotlib.ipynb @@ -0,0 +1,666 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from IPython.display import HTML, Image\n", + "%pylab inline\n", + "import numpy as np\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "figsize(10, 4)" + ], + "language": "python", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "$\\S$ Exercise: Prime number sieve (1/2)\n", + "===\n", + "\n", + "Compute prime numbers in $[0, 99]$, with a sieve." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "Image(filename='images/numpy_prime_sieve.png')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "png": 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BfwGo6jdisVgHQCwW211E7sJoXOZE5MS5c+fe00h9CxYsWBmJRA7DuoBT1ZOj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\nvb2bitWvEZuAYVrC9evXL9p9993/4AXtiHg7oG8BpxWptq2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+ "prompt_number": 4, + "text": [ + "<IPython.core.display.Image at 0x2ea3c90>" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "1. Start with a boolean array `is_prime` of shape `(100,)`, filled with `True`.\n", + "2. Cross out 0 and 1 (i.e., set their index to `False`), which are not prime.\n", + "3. For each integer $i$ starting from 2, cross out its higher multiples.\n", + "4. Skim through the help for `np.nonzero`, and print the prime numbers." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$\\S$ Exercise: Prime number sieve (2/2)\n", + "===\n", + "\n", + "**Hint:** Use the following approach for step 3 on the previous slide:\n", + "\n", + " max_factor = int(np.sqrt(len(is_prime)))\n", + " for i in range(2, max_factor):\n", + " is_prime[ ... ] = False\n", + "\n", + "Follow-up:\n", + "\n", + "* Move your code into a file named `prime_sieve.py`.\n", + "* Run it to check it works.\n", + "* Use the optimization suggested in the sieve of Eratosthenes:\n", + " - Skip $i$ which are already known to not be primes.\n", + " - The first number to cross out is $i^2$ (if you didn't already)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$\\S$ Exercise: Prime number sieve (solution)\n", + "===\n", + "\n", + "* Use `ones` to initialize a boolean array with `True` values.\n", + "* Assign to all higher multiples of `i` by slicing with `[2*i::i]`." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "is_prime = np.ones((100,), dtype=bool)\n", + "is_prime[:2] = False\n", + "\n", + "max_factor = int(np.sqrt(len(is_prime)))\n", + "for i in range(2, max_factor):\n", + " is_prime[2*i::i] = False\n", + "\n", + "np.nonzero(is_prime)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 10, + "text": [ + "(array([ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,\n", + " 61, 67, 71, 73, 79, 83, 89, 97]),)" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "$\\S$ Exercise: Area filling\n", + "===\n", + "\n", + "Starting from the following code, try to reproduce the graphic below:\n", + "\n", + " n = 256\n", + " x = linspace(-pi, pi, n)\n", + " y = sin(2 * x)\n", + "\n", + " plot(x, y + 1, color='blue', alpha=1.00)\n", + " plot(x, y - 1, color='blue', alpha=1.00)\n", + "\n", + "**Hint:** Use `fill_between`." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "Image(filename='images/matplotlib_fill_between.png')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "png": 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/YEU2Xe/ewKOPMmHKgxdeoG6IYBTsxES6vPfUKeaB3wQrN5f6pOrV03e/YHnd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\nYDBYsBgMBoMFi8FgsGAxGAw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+ "prompt_number": 22, + "text": [ + "<IPython.core.display.Image at 0x7fa9502b4bd0>" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$\\S$ Exercise: Area filling (solution)\n", + "===" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# In this section, we want to continue working on the same figure.\n", + "%config InlineBackend.close_figures=False" + ], + "language": "python", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 53, + "text": [ + "<matplotlib.figure.Figure at 0x7fa952664fd0>" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "<matplotlib.figure.Figure at 0x7fa952664fd0>" + ] + } + ], + "prompt_number": 53 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "n = 256\n", + "x = linspace(-pi, pi, n)\n", + "y = sin(2 * x)\n", + "\n", + "plot(x, y + 1, color='blue', alpha=1.00)\n", + "plot(x, y - 1, color='blue', alpha=1.00)" + ], + "language": "python", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 54, + "text": [ + "[<matplotlib.lines.Line2D at 0x3318b10>]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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89u1ALq5atCl37wJVqgBTpgDNmqlOQz//LCP3CQlAgQKq0xBlDxe+68SgQXJnzQJLG/r0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\nw4apTqN/Y8cCu3bJ5gFOG5K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kGZcuAZ9/LgeQLV8uoz5EZDlr18qoTsmS8kBl1JOvL1+Wm7xTUoDPPpNRHyJb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\nO9lh4CHd8fRxwsZ9+VG0rBt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+ "text": [ + "<matplotlib.figure.Figure at 0x7fa952664fd0>" + ] + } + ], + "prompt_number": 55 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%config InlineBackend.close_figures=True" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 59 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "$\\S$ Exercise: Scatter plots\n", + "===\n", + "\n", + "Starting from the following code, try to reproduce the graphic below:\n", + "\n", + " n = 1024\n", + " x = random.normal(0, 1, n)\n", + " y = random.normal(0, 1, n)\n", + " scatter(x, y)\n", + "\n", + "**Hint:** Colors can be given by the angle of `(x, y)` which is `arctan2(y, x)`." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "Image(filename='images/matplotlib_scatter.png')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "png": 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09W7B5/OR3XqKUmctRoNEarSZ3TXPMVy5huiI8Jl+ZFkmp7CEnCvinERRRNXE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vsf28vRY5cwpw8SaY+jpVxGNZzDV/7sBzemFTTVcLn0CGqVnszUAk6ePoIkyTx4z6PExEYvGAXU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\n", + "prompt_number": 56, + "text": [ + "<IPython.core.display.Image at 0x33007d0>" + ] + } + ], + "prompt_number": 56 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$\\S$ Exercise: Scatter plots (solution)\n", + "===\n", + "\n", + "The trick to mimic the graphic is to set `xlim` and `ylim`." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "n = 1024\n", + "x = random.normal(0, 1, n)\n", + "y = random.normal(0, 1, n)\n", + "\n", + "scatter(x, y, s=75, c=arctan2(y, x), alpha=.5)\n", + "\n", + "xticks([]); yticks([])\n", + "xlim(-1.5, 1.5); ylim(-1.5, 1.5);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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trW1EBE99fT1vPv+/zNOJpOSE9ZnXS+qb2PbiL1j69R9ed0yWRCJh+eoHKc3M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1e/ya8ffxqj0Uh/fz9nzp7hcH4efS4nMUGhTBufRXz8pUWK0+1GrR2+aQdAoVFT3lRHVtbQ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dhyLc6Jh52Ct5/fogUlMzMRpNTJrkSXLyulu6wGo86ezqwVMzdFGkXGFPW3vtkNuvRFSU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\n228nODiYLTsPk390JxKFLRJ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+ "text": [ + "<matplotlib.figure.Figure at 0x7fa9522b8090>" + ] + } + ], + "prompt_number": 66 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "$\\S$ Exercise: Subplots\n", + "===\n", + "\n", + "Starting from the following code, try to reproduce the graphic below:\n", + "\n", + " subplot(2, 2, 1)\n", + " subplot(2, 2, 3)\n", + " subplot(2, 2, 4)\n", + "\n", + "**Hint:** You can use several subplots with different partitionings." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "Image(filename='images/matplotlib_subplots.png')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "png": 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+ "prompt_number": 67, + "text": [ + "<IPython.core.display.Image at 0x7fa952a99e10>" + ] + } + ], + "prompt_number": 67 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$\\S$ Exercise: Subplots (solution)\n", + "===" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "subplot(2, 1, 1)\n", + "xticks([]); yticks([])\n", + "\n", + "subplot(2, 3, 4)\n", + "xticks([]); yticks([])\n", + "\n", + "subplot(2, 3, 5)\n", + "xticks([]); yticks([])\n", + "\n", + "subplot(2, 3, 6)\n", + "xticks([]); yticks([]);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "<matplotlib.figure.Figure at 0x7fa952db7f10>" + ] + } + ], + "prompt_number": 70 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "$\\S$ Exercise: DNA sequence visualisation (1/2)\n", + "===\n", + "\n", + "We consider a DNA sequence as a walk in three-dimensional space:\n", + "\n", + "* Each base (A, T, C, G) is assigned a direction in this space.\n", + "* Starting from the origin (0, 0, 0), each nucleotide in the sequence is a step." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "base_vectors = {'A': array([ 1, 1, 1]),\n", + " 'T': array([-1, -1, 1]),\n", + " 'C': array([-1, 1, -1]),\n", + " 'G': array([ 1, -1, -1])}\n", + "subplot(1, 1, 1, projection='3d')\n", + "for base in base_vectors:\n", + " x, y, z = array([zeros(3), base_vectors[base]]).T\n", + " plot(x, y, z, label=base)\n", + "legend();" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": 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mVa3zm0yqLBcDXPDohGwk2ThN0GnOZrVyYMEFlwrNzdmkwGhl+riRbu6sCgce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\nbfD7/XnldmMZuoBdqurSZkF6mP24thbTd+7EjVVVmOr3J4x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uXPDgDIl8B3N4iIh+Ua9e\nvYKfnx/y8vJw+fJlp0nfFosFMTExdtECFRUVDtECRLMdOzxERG46evQowsLCkJCQ4HJMQUEBoqOj\nkZiYiNbW1hmdT2xsLFatWjXpGHejBYhmOxY8RERuOnLkCHQ6ncvndXV1ePPmDV6/fo1r167h2LFj\nHpydc+5ECxDNBTyWTkTkpm3btsFoNLp8XltbC41GAwBISkpCf38/zGbzT92TtWvXLvT09Dj8+7lz\n55Cenj7l/2faM9E3LHiIiKaJs25KZ2fnTxU89+7d+6k5uRMtQDQXcEmLiGgaTTwH4qkOi6vzJ+5E\nCxDNBSx4iIimycRuSmdnJxQKxYx9v+rqaiiVSuj1eqSlpWHPnj0AgO7ubqSlpQFwHS1ANNfwWDoR\n0XcwGo1IT0/Hs2fPHJ7V1dWhtLQUdXV10Ov1KCwshF6v98IsiWgi7uEhInLToUOH0NjYiPfv30Op\nVKKkpAQjIyMAgLy8PKSmpqKurg4rV66ETCaDVqv18oyJSMAODxEREc163MNDREREsx4LHiIiIpr1\n/geijnD/jdkRVwAAAABJRU5ErkJggg==\n", + "text": [ + "<matplotlib.figure.Figure at 0x7fa9502d2810>" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$\\S$ Exercise: DNA sequence visualisation (2/2)\n", + "===\n", + "\n", + "In this excercise, plot the walk of some DNA sequence in the three-dimensional space.\n", + "\n", + "**Hint 1:** You can use the following idiom to create an array of steps (vectors) from a DNA sequence string:\n", + "\n", + " vectors = zeros((len(dna), 3), dtype=int)\n", + " for i, nucleotide in enumerate(dna):\n", + " vectors[i] = base_vectors[nucleotide]\n", + "\n", + "**Hint 2:** Have a look at the `cumsum` function.\n", + "\n", + "* Does the walk actually start from (0, 0, 0)? If not, do you know how to fix it?\n", + "* Graphically indicate the start and end of the sequence.\n", + "* Try to find some interesting DNA sequences to visualise (e.g., containing some repeat sequences)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$\\S$ Exercise: DNA sequence visualisation (solution)\n", + "===" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# This is hg19 chromosome 1 1000000:1002000\n", + "dna = 'GGGCACAGCCTCACCCAGGAAAGCAGCTGGGGGTCCACTGGGCTCAGGGAAGACCCCCTGCCAGGGAGACCCCAGGCGCCTGAATGGCCACGGGAAGGAAAACCTACCAGCCCCTCCGTGTGTCCTCCTGGCACATGGCGACCTCCATGACCCGACGAGGGTGCGGGGCCCGGGGCAGGGTGGCCAGGTGCGGGGGTGCGGGGCCCGGGGCAGCTGCCCTCGGTGGGAGGggtgtggtgtggtctgcggggccctgggggggtgtggtggggtctgcggggccctgggggggtgtggtgtggtctgcggggccctgggggggtgtggtggggtctgcggggccctgggggggtgtggtggggtctgcggggccctgggggggtgtggtggggtctgcggggccctgggggggtgtggtgtggtctgcggggccctgggggggtgtggtggggtctgcggggccctgggggggtgtggtgtggtctgcggggccctgggggggtgtggtggggtctgcggggccctgggggggtgtggtggggtctgCGGGGCCCTGGGGGGGGTGGGGTCTGCGGGGCCCTGGGGGTGTTGTGGTGGGGTCTGCGGGGCCCTGGGGGGGTGTGGTGGGGTCTGCGGTGCCCTCGGGGGGTGTGGTGGGGTCTGCGGGGCCCTGGGGGGGTGTGGTGGGGTCTGGGGGGCCCTAAGCTTAGATGCAGGTCTCTCCCTGGCAGCCCCTCAAGGCCACGAGGATCAGTGCTCGGAGCCTGGAGGGCTGTGTGCAGGAGTAGCAGGGCCACTGATGCCAGCGGGAAGGCCAGGCAGGGCTTCTGGGTGGAGTTCAAGGTGCATCCTGACCGCTGTCACCTTCAGACTCTGTCCCCTGGGGCTGGGGCAAGTGCCCGATGGGAGCGCAGGGTCTGGGACtgtagggtccagccctacggagcttagcaggtgttctccccgtgtgtggagatgagagattgtaataaataaagacacaagacaaagagataaagagaaaacagctgggccccggggaccactaccacaaagacacggagaccggtagtggccctgaacggctgggctcgctgatatttattgcatacaagacaagggggcaggataaggagggtcagtcttctaagtgattgacaaggtgaagcaagtcacgtgatcacaggacagcgggcccttccctcttaggtagctgaagcagagagagaaggcggcaggcatcagcgttttcttctatgaacttataagatcaaagactttaagactttcactatttcttctaccgctatctactacgaacttcaaagaggaaccaggagtacggaaggagcatgaaagtggacaaggaacgtgaccattgaagcaccacagggaggggttcaggcctccggatgactgcaggcaggcctgggtaacatccagcctcccacaagaagctggtggagcagagcgttccctgactcctccaaggaaaggagactccctttcccggtctgctcagtaacgggtgccttcccagacactggcgttaccgcttgaccaaggggccctcaagcggcccttatgcgggcatgacagaaggctcccctcttgccttctattcacttctcacaatgtcccttcagcacctgaccctatacctgccggttattcctaggttatattattaatgcaacagagtaatattaaaagctaatgattaataatgtttataataatgatggataattgttcatgatcatcgctgtatctaatttgtattatgactattcttattctattttctttattatactgaaacagtttgtgccttcagtctcttgcctcggcacctaggtactcttccgcccacaCGGGACGGGCTGGGGGTGGCCATCTCGGGCTCTGGGAAGGGGCCGGGGCTGTGAGCTGAAGGCTCCATCACCTCCAGATGCTGCAGCAGCAGGAATGCCGGTTCCTGTACCCTCGGAAGGAGGGGC'.upper()" + ], + "language": "python", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "prompt_number": 19 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "vectors = zeros((len(dna), 3), dtype=int)\n", + "for i, nucleotide in enumerate(dna):\n", + " vectors[i] = base_vectors[nucleotide]\n", + "\n", + "coordinates = vectors.cumsum(axis=0)\n", + "\n", + "# Start from (0, 0, 0).\n", + "coordinates = np.concatenate((np.zeros((1, 3), dtype=int), coordinates))\n", + "\n", + "subplot(111, projection='3d')\n", + "x, y, z = coordinates.T\n", + "plot(x, y, z)\n", + "plot(x[[0, -1]], y[[0, -1]], z[[0, -1]], 'o');" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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WOQaKxRK9LuYETxcSDxO5289aBR2Hw2Hk83lfT2O8Ynh4IsqE+5Wv5PDTn4ax\nYEE9XnppELNmiSPIREWkBZPNClMURcYVOWCs9aunp+eo30cLkILHMZXYA8sp5Kpi9/ai4NpQKIS+\nvj5Eo1HfNyDPoFre8Tdm5+Y06JjGrNbwEk2ixfDs3h3E3r3FB4FDhwKYNYtfRqOkepgFu7JUI67I\n+LvIwkLE8hRGFzfR09ODj3zkIzXokVhIwWMBe8MB1d+ZnCYJY5VjM1cVr4mhlqLOaTtWQcflNnUd\nT64kTdOQzWaRzWb1iZe9Xnm6X8vx7rsK9uwpip1Vq4axcKEUO0czrPXGS70iq7gi43Vey7gi6s9Y\nEmI9PT3SpQUpeBzDO5XcbFFis6rcVDnmVciQ56LOU/AUCoUSSw7FKTU0NIzaBsSqDR79qKVookKI\nFK9FwcB0TdKCoaqqPlZOs3P88PDDIdx5ZxQnnFDAk0+GsG5dFhy8vtwRbYESrT9AdTfDHMtxRdQ/\n0b4/wN6lJQWPFDy2VMrCQzcgFTNkXTLhcBjRaFTfYdttP/32i5d1wK97jIKOC4UCBgYGdPHnJU6J\np5DzMzZu+0Eih4ROOBxGIBDQi0Pm83nk8/mS8chms3ochtVTNOte8COKNA0YGir+7fBh4PXXh4QU\nO5KxB3vNUc0wM2oRV0THHUuC5/Dhw5gyZUoNeiQWUvDYwF44vDKYyFUFAAMDA1AUxZFLxg5eYoyn\n39yLe8ws6Jhd4L3CyzpTDdjd10kAszFJg4ODjvrk9Cnaryhav774vRx/vIZMBvCRcS+pMaIu4nbU\nIq6I2hRxrMxcWuxD+9GOFDwO8SMqzKocK4qCWCzGpY6DqK6ocu04CToeHBwUJv7Grxi06odR5JAb\n01jtmTc8RNHrr/fic5+biOOPVwGkkE6PLA7kgqBAShEXiFoh6oIpGryszTzjiqz2Qat1XBGdh/HY\n8v4bQQoeG9gLxI2LhhZyEjn0pM5WOR4a4lezpBIB1X7T760Wd7dBx7WOneHdDmt2J5EDFAtEOrHy\n8RS3Tig3USYSwLvvhvCHP0QRCgVx992pkvgKikfz6z6TVB4RRZiIcUUi74NmFsvJu8ryWEYKHhuM\nLi27hcZsIbdbxHhbZURMJ2cDao0ZZ06LI/LIHONlhvYzNiRyAODIkSMA4LlAZKX66IWDBxV0dBTF\n8f/9v7mSqsok9EOhkOUTNBtvIUWRxIhIIoz6QdejaHFFdGzjZ7q7u2UNnr8hBY9DaCFhLygy69OP\n24Wc1w7kja31AAAgAElEQVTsvCs38xI8+XweAwMDrjLOzNrhufO638nTzdiwIpiypgCgrq7Oc7wW\n+/3UeiF4913g1FPrEQppmDxZw8SJpX839tWN+8xqsRgvoqiaotQpIokLkSk3TrWMKzJDVlkeQQoe\nG4wuLRIW5K7K5/O6q8pt9hBvkVLNGkFWGCtAU5yS1WalThDJHeVkMbCyZtGu9O+9955nsSMa9JWe\nfHIBS5bk8bcMYs+4jbVwI4rY94kiimp9fBZRBZiIIkzkuCIA+lY6L7zwAurq6nDw4EHMmDHDV3/H\nC1Lw2ECLJFU5LhQKGBoaMq3m67VtHtSqYKBd0LGiKEilUr6yq9z2p9Lt2MUlsSInGAxaWrP8Wpqq\n7bKy4wtfiAMA/vKXIO6+O4Njj618v7yKIvqXijWyooinS2GsI+L5itYnEeOKqAYXWYgKhQI2b96M\nF154AYcOHYKqqrjrrrvQ3NyM5uZmtLS0YM2aNa76c+211+LnP/85IpEITjjhBDz44IOYMGECAGD9\n+vXYunUrgsEgNm7ciCVLlgAA9u7dixUrViCTyaCtrQ0bNmzwMBL8kIKnDP39/QCgxyLQgu6Xaldu\ndtOWneXJadAxPXH7RVTBY5Z558TSV2nBwtPaV44vfCGHX/0qhKuuGsb73ledYzrBTBQZd7d261Lg\nLYpEEa3EeLWkVAKR+sVe55pWTEmnh8wHHngAAHDNNdfgC1/4AiZPnoyuri50dXXpezC6YcmSJbj9\n9tsRCARw/fXXY/369bjtttuwb98+bN++Hfv27UMymcSiRYvQ0dEBRVGwatUqbNmyBa2trWhra8Ou\nXbtwzjnn8BsAl0jBUwZSsACQSqW4WmVoouV18/AytRrP0UvQsUhCheDRDjsOxsy7alBNQVOO88/P\n4xe/SOG88xL42MfyOPfcsbOthB/3GS9RJMqiKXEHCQvRsKq239PTg5NPPhlTp07FKaec4rn9xYsX\n6/8/88wz8dhjjwEAdu7cieXLlyMcDmPOnDmYN28e2tvbMXv2bAwMDKC1tRUAcOmll2LHjh1S8IgM\naz3hudjwnOxoguWZTs5aMLwEHZsFefvpj1+89oGtdkyWnFgs5qoStrEfPJ/ua7loplLAeeclAAAX\nXZRAf/9AzfpSCSopilRV1RMXRHCfiWS1IETsEzD2+tXX14dJkyZxPdbWrVuxfPlyAMChQ4ewcOFC\n/W/Nzc1IJpMIh8Nobm7WX29qakIymeTaD7dIwVMG9gLimVlF7fEQKQCfhZQNxj5y5IgucrxYMGgC\nF0nwOG3HqtoxWbf8xiX5OR/jeRjHtxoxPs88E8RFF8UxMDBy3CNHxpfYcYpXUQQUrzNWJMmYolLG\nmrCoNWaWJ7OgZjsWL16Mnp6eUa+vW7cO559/PgDg1ltvRSQSwcUXX+yzx9VHCp4yGAUPT3cCT8Hj\npW8UdGwskAgAEydOrIh7zGsblRZOTqod84hL4m3Zq8XEe+CAgoEBBeedl8PgoIKdO9MQcP4XBjNR\nRPc93W8ixBSJtoiL2CdgbPWL3FxO+7t7927bvz/00EN48skn8atf/Up/rampCZ2dnfrvXV1daG5u\nRlNTE7q6ukpeb2pqctSPSiEFjwt4Cx7eLjIni3G5oGMAevXfavWpXBuV6AubYea02jGP78vvmFTD\ngmNHPg9ce20x8PcXvwjjrbcGIGA4w5hDhJgiiTNECzgnzATP22+/za3K8q5du3DnnXfid7/7XUni\nztKlS3HxxRdj9erVSCaT6OjoQGtrKxRFQWNjI9rb29Ha2opt27bh6quv5tIXr0jBUwYzCw8vhc8z\nndxOjLkNOubhiqJ2RCkaSH2hIpEkcipR7Xg8EwoBH/mIil/+MoQ778zAotispAK4EUWsIGJFkVWV\nX3qfKDFFdC617oMRmq9F6xcwsmcWS09PD7cqy1/96lcxPDysBy9/+MMfxqZNm9DS0oJly5ahpaUF\noVAImzZt0vuxadMmrFixAul0Gm1tbTUNWAak4CmLMT6ClxgA+FqMjE/+VmnTToKOeVkReAk6P/0h\nixbFJlGxSC8ih6eLzg92n6+GBejRR9O48cYo7r03gs98JofJkyt6OC6I9lReqcWcFTJ2xzaKInLX\nZrPZim594AYRBQ8hWr+shBjPKssdHR2Wf1u7di3Wrl076vUFCxbgxRdf5HJ8HkjB4xISKTzSEnlW\nWw4EAhgeHkYmk8Hw8DBUVfUcdEzWkEptIFrpdswsWrT3TUNDQ9X6UYk2RJho83lg48YIAOCGG2K4\n//5MjXvkDBHGTgSsRJGmaXpAvpkoouJ2dpYi9v9+dw4XMf1bVBHGujJZ5LYSpUjBUwbWqkO/i7JR\nJxt0TE9miqL4rgItgmXGbTtGkWO0aA0PDyPrc++DWsfPEHZZWtWgs3PkeN/9rrXYEWW8JO7xaily\nIoqM4ojeMxYQXfAYoRo8kiJS8LikWnE3VrAuGjbYNhaLIZPJoL6+3ne/amWZcduOm2rHvPoigoVH\n0zSk02ndkgegJBODxJ9xceHByy8HcOaZdQgGNSQSwKFDCpqbpahxi2gLp5f++HWfGUWRUQiRJV2k\nuBnRvjfCql+9vb3SwsMgBY8D2EWqFltCOAk6VlUVmQwf1wKvc+TlsmOtalQIkIKPnVY7FiljzEs/\nKKOMLHmFQgGJREIPMqUFRVVV/cesxovVk7ZTUXTMMcXv4eMfV7Fq1TCmTJFiR2KNH1HEPtBQW1bx\nRNWyFI01wdPT01PzVHCRkILHAeyFxLP4IJsdYbxY3QYd88wgE83CA4xs6aCqqi5y3FQ7FiH+xm0b\nVrWBUqkU6urq9EVCURT9mggEAsjn8yVpo2y2DruwlEtnNltQ5s0rxkD95jch/Ou/ZhGP+xoOiSDU\nMl7GShQNDQ0hHo+X7HbvxVLEUxSJKnjMMrQA4MiRI5g4cWINeiQmUvC4hGegMRsfRFYadmF3E3TM\n8ybkFafkRyCwiz2V4U8kEr5ik0QRPHZjy563pmmjagORRcftMct9xumC8uyzWZx77hR87WspfOAD\nWeRyoxcWSXlEXThFpdLuM6eiSNTvTdO0UQ/CrFdCUkQKHgcYLTy8XFp086TTaeTz+ZJtDLws7Lwq\nN/N0RbkRCFYWDTJvRyIRX33xS6WCcNlCkGYix64P5f7uFKcLyvz5Gh5+eBBtbY3o6wtg7dqhkkUG\nGIknouub3LBuXGeS6iLiQu62T9UQRTS/ijZeZv1RVVXWFzMgBY8DeAoeY9AxG49hVeHXTT/HUjo5\nTTasRYOt+kxjkc1mfbsR7dyHbvHTBn1HJHLYwPO6ujrXE1Q1J15FUfDyy0G0tdUBAJ5+OopYbOR7\noe+aFhP6TslyaeU68xpP5AaZLWaPaONTqf74FUUUHzc8PCxETBHbZ+Ox3n77bUybNq0qxx8rSMHj\nEi8LJ8VLkMihmjD19fVIp9OIRCL6njp+EC2d3EwcmmWZlat2zMuV5Be/vn+aKHO5HFRV9VTluVJW\npnJs2BDGjTeOxAUtWpTHT3+aLnkPnQMJbnK/sZY5s1giNp7IqdvBy3ch0pOuaBYCQMzxqUWf7ERR\nKpVCNBrV51q6ho3p+GxmWTVEkdn11N3djRkzZvhuezwhBY8D2AvJGHdjhVXQcWNjY4kFJhgMVj3r\nq1rtEDQZkEWDFXxOFnveFie/VjSnbRgtWEDx+w4Gg2hsbPQtoOz6w3tBnTu3eLyrrhrG9OkFfO1r\n3lye7CLmZnsEs8WknCASaQEXHREFmIiwQsyJpciuRhEvUWT1AN7T0yNT0g1IweMA44VkVW2ZUqZJ\n5DhJmSYXB69+8hQGfiZBemoHipkClEpvFHxu+uMXXpYiN246oNSClc/nkU6nfbnEzP5v95pf+vuB\nz32umI51770RHD48wP0YLOUWE6PrjBYQ+jG6zmQ80dhDVAHmpl+KotjOdVbXsVtRRH83s/BIwVOK\nFDwOYRc6NgWczazyEnTMM82dV1tOrVhGSOSw1Y4VRUF9fb0vl51IgseMciLHzPoylmhsBK67Los7\n7ojiZz9LwWeImG/KWYiA0an4FE+Uz+dLXrezEFUqDoNdxERBNIEhWn8A/vet0+sYcCaKUqkUFEXB\nunXrEIlE8NZbb+Gkk07Cvn370NzcjMbGRk/9vPHGG/HEE09AURRMmTIFDz30EI477jgAwPr167F1\n61YEg0Fs3LgRS5YsAQDs3bsXK1asQCaTQVtbGzZs2ODp2LyRgschrNUDADKZDFKpFADYZtWUo5Ib\niFajLdZ1l8vl9FR6qnZ85MiRqvWlGu2w14EbkcN+3i88XHNu+cY3hhEKAeefn8Cf/jSou7hExfjE\n6zSeyGprBCtBJK1ElUFUwVPt79uJKKL40Gg0Ck3TMG/ePOzfvx9//etf8corr+AHP/gBOjs7EQqF\n8OlPfxoPPfSQqz5cd911+Pa3vw0AuOeee3DzzTdj8+bN2LdvH7Zv3459+/YhmUxi0aJF6OjogKIo\nWLVqFbZs2YLW1la0tbVh165dNd8pHZCCxzG5XE7fmBMoChUvO24bqUXlZifYiQOjyLFz3fEIpObh\nYmPb8QordvP5PABnIodnH5xQCUH07rsK1q0rbiz5+ONhrF497OhzIluzvMQTWT1dWxVrHAuuM5G/\nI5EQUYQRgUBAv4Yvu+wyAMCyZcvw8MMPY/LkydA0DX19fRgcHHTdNrvh8uDgIKZOnQoA2LlzJ5Yv\nX45wOIw5c+Zg3rx5aG9vx+zZszEwMIDW1lYAwKWXXoodO3ZIwTOWoJidxsZGPcsoFPI/fLWwyjjB\nKJ7Y+CS2KGK5ase8rCo88NIXoyWHrgMeYtcr7HlUQ0ABwIEDxfP86EfzjsVOtfpWSdzGE7H/WqXi\nE/l8vkQQ1XoxrfXxWUQUFyL2CbDuV39/PyZMmACg+N1OmjQJkyZN8nSMf/3Xf8W2bdsQj8exZ88e\nAMChQ4ewcOFC/T3Nzc1IJpMIh8Nobm7WX29qakIymfR0XN5IweOQeDyuP9VTITwe8LJeAPwtPKqq\nIp1O62nUXooi8nZHVcPCY+euorRUr2J3LIqA//qvID7zmQQAYO/eIHp6FMyYMbbOoVK4jSeiwGoA\nplt78E7Fd4KIC7nsk3PMEmhYy6MTFi9ejJ6enlGvr1u3Dueffz5uvfVW3HrrrbjttttwzTXX4MEH\nH/Tf8RogBY8HeO6YTpMZz4KBfm5MtlbM8PAwotGo58rPbJ/8wqsdqzacxuT4/e55xhFVizlzisda\nujSH668fxvTpY0/saFrt94oCRspQ5PN5xJmNyIyuM7oe2dcBmYpfS0QVPGbXttsqy7t373b0vosv\nvhhtbW0Aipabzs5O/W9dXV1obm5GU1MTurq6Sl4XZQNTucmGQ9gLh3edGp6iwG1blLmSSqXQ19eH\n/v5+PdssGo2irq4OkUjE842uKLXfl8uqDfbcjxw5ovu36+vrMWHCBNNA9LFgoeHdxzPOKFZWfuKJ\nMKJRDQLO+WMKs4WTREsoFNJj4mKxGOLxOBKJBOrq6lBXV4doNIpwOKxvb0AiPZ1OY2hoCENDQ0il\nUkin08hmsyWFLtmYo3L9qTWyT84x69dbb73FrcpyR0eH/v+dO3fi9NNPBwAsXboUjzzyCIaHh7F/\n/350dHSgtbUVM2bMQGNjI9rb26FpGrZt24YLLriAS1/8Ii08DjFb9HjdANXO1KKF3q7acSaT4ZLi\nzjNV3u8YURvGbR3cBB77FRPUvp9rp9qi66WXBnHeeQl89avDOPFEscXeeMWt64y1FrGWIrNUfPos\nbdLLHq9WiCguamkltMNsrHgWHbzhhhvw6quvIhgM4oQTTsB3v/tdAEBLSwuWLVuGlpYWhEIhbNq0\nSe/Hpk2bsGLFCqTTabS1tQkRsAxIweMJnm4ooDKZWmY757ILfblqx7XaQLQS7dBknsvldKHnZVsH\ntj1R4G1tNGPWLA233JLFZZfF0d2t4Fvfcha0LKkuTlxadoIom80Kk4ovquARsU9m/Tp06BBmzpzJ\n5Rg/+clPLP+2du1arF27dtTrCxYswIsvvsjl+DyRgschRncRT8HDy+1DbVEfNa20EKCbasciCBUW\nt7EzZjE5wWAQoVAIDQ0NNbWu+A3ANn7HlSaVAi67rBhvMjQk1oQ/FqnlwmmMJwKgJ2NQTJHbVHwr\nQSSaOPCLSA86Ripp4RlPSMHjEd5WGV7VlhVF0Rd5qnYciUQQj8ddiTPRBI9TV51d4HEul0M2m/Wd\n6cXDteZ3TDStWD04k8nopnZacICRzA2/i06hADzzzMh1s3591ld7EvEwCjBWxFi9H3Ceim8niKyu\nTxGtKUDtXX1GCoWCaZ96e3tx6qmn1qBHYiMFjwvYhYqnVcav+8hYCDAQCCAWi+nVjr32SaSNSK1E\ngtPsKrs2ePSjGpDFTlVVDA0NIRQKIRQK6eNLfy8UCshms7q4K1cUz45MBvjnfy6mpMdiGn796yAW\nL+YjziVi4FZcuI0nYjPPzFLxza5R1oIpisgQqS+EVVyRtPCYIwWPCyqVqeVFPFlVO6YFMBaL+e4T\nj8BsnhYedmGneKRcLgdFUfR4JLv6OKIIHjdtGGOvSMTF43HEYjH9GmCzfLLZLEKhkL4gsQuP1Qab\nVu6JP/4xiPnzVbzyShB//OMQmprENeuPFURcOHlj5jozYpeKD0DfukeEVHyeSSo8seqTFDzmSMHj\nEd6bfjpZAJ1UO85ms7pP3g+8b2wekwVZNtyIHJZaWmeM2PXDLMCcYq8CgQCGhob075kd03w+b1q7\nhTC6E+g7sYvX2LJlAl55pbhg/eUveUybpo7JWA0RFytRqNXYWLnONE3D0NAQ6uvrRwkiVrDTv2au\ns0pdo6JdQ1bf3cDAgF5lWTKCFDwuqJSFh9193XjxsoUAnVQ75lkUkUdgtnFxdYNx4dc0DeFwGA0N\nDZ76JJKFxwg93VLtFBI5dK6sdYbqsFCKvbG+Cl0D5N83Hs9MDBFs3SFFUfC97w2jsTGIv/wliDPO\nKL9tAvt/1iIn2kIhERf2elEUxVMqvtNrlBVcdteoqNewWb/YsAtJKVLwuKCSLi1WFBj3bqIiZE6q\nHYu4+zq5o5zEE1lZN+LxOIaHh0uq03rphyiChzXhG+OPWJFD40GfA0ZidfL5PEKhUMm1Yea6Mv5u\nFjMBjJShp74Rt98+hEsuqcf8+ZPw6quHUV/vzErE9v9oy+ixQ7TF0yoOpFa4GR8n1065eCInqfhW\nwcG1xuy7y+fzNdvnT3Sk4PGInVXGLbS40L5VmqYhEomYVvotB0+3jZfYIjPKWZ3sXDhs6mw2yydD\nyM93xmN8Na1Y84RiFGineaqeaxQ5iqLo9YOMmXfGyY6eiJ3ETViJIqD4nbGT/8KFeezaFcFTT0Vw\nwQU52+uCrlmyPkWjUddP4NXaR0oiHrwFoZd4IqtU/FQqJZRwLxQKo1z6b731Fo455piq9mOsIAWP\nC9iL2Y+rBhhd7ZhuLL+7cLPWA783Hy/3mJlIcCJyyrXhpR907GpPTKwlh+Kv6uvr9TEmaw/bT4rZ\nIgsJuTP9PI1bxU0QxqfhQqGAL385jkceKQbBP/BABOecM2BpJSILJS0YwWCwJNbI6EKwshI53Ufq\naLUS8UQ0i1MtKHdf0H0biUQcCXe7a5TnWJtZeLq7u2XAsgVS8LjAeKGSlcfpAmS2yFPgbTqd1rOs\n/PbRjxAztsVT8LgVOZXqi9/PO+2HmWsykUggk8noQofEACtyyJKjKIruzqyWy8HsafgznwEeeQS4\n6aZhnH56AY2NjaMsQ6qqlmTYACMCxSqmwImViG3Lad0Xs4WGl9WTByL1RUREFWCBQKCiqfjGhwEn\nmI2VFDzWSMHjEuMEXs7lQxd8uWrHlQg29rtI8ogHopucXDhuRA4LL8uV38Wv3OfJKkNl+knksO6q\nYDCovwcY+e7p3ILBIGKxmL7o13Ly7+0FLrywaN256aYIBgdTeh9J6NCETqURWPFmFEXsYmDltjKL\nJWKvQ7dWIvqdhKaVy6yaYy3Sgi6awBCtP4CzPnlxnVlZM8u5d+3mod7eXil4LJCCxyXshWYlUowi\nx0m1Y5GDjd1itOQAxQnArcgx9oUHvMaGnQCN5QLC4TDi8ThCoZCpu4oseaw7MxgMliz0bBVlmujY\nH/a1Si4OdXXAvfdmcdVVUfzudxloWgHDwzm9wCGdq9V+bFawQsgqpsjKHcC6Ju2+S1YwkgWVzWCT\nsURiIqrg4WFlLec6o2OVS8WntgDodbh2796NiRMnorOzEy0tLb77Oh6RgscHrEhhCwFSlDw93Tu5\nUQIBPpt1GvvlBzfiwM5dRSn1fvcd4+Gq42HhAaC7cLLZbEm5AHJJkkWDPkPikUQwWUTI+mN1TsbF\n2ZiKbhQGZsLIq+Vi+fIInnhiZIq45pogfvGLwwiHw4hGo64D6lnISuQ0uJoNJGUXA6vzZO+BfD5f\n8vRMx7eyEpk9fbMLjV8rkWgLumj9EZFqjhHdG3Z9oWuTxI6madi5cydee+01HDhwAPfccw9mzJiB\n4447DrNmzcLZZ5+Nz3/+8576853vfAfXXnst3nnnHUyePBkAsH79emzduhXBYBAbN27EkiVLAAB7\n9+7FihUrkMlk0NbWhg0bNng6ZqWQgscl7EWvKErJDtxk0q+rq3P9NODVmmLVFg8rRjnh5DQmhxYc\nv/A4Lz9tkOUFAPr7+/WFPxwO639ni1HSsUjklLOIWPXXyeRnFAYkioxZV2bCyGyR1jRNFzsvvNCL\noaEw/u7vAohEGqsy8bt5ErYSRWxbbNVpJ1Yieo21EpHA8hpLZAzulpjDy5rCE5FEIV1f9BAZiUQA\nAN/73vcAABdeeCEefvhhpFIpHDx4EJ2dnZg6daqnY3V2dmL37t2YPXu2/tq+ffuwfft27Nu3D8lk\nEosWLUJHRwcURcGqVauwZcsWtLa2oq2tDbt27cI555zj/6Q5IQWPSygWgCw5iqIgkUiUVDv2QiVi\nePxiJg6cipxy7XjtT6HgvxCim76Qe5IqG9MCSNl0ViKHAo8pbdSvRcTufLwIA1YQsW4zev+MGdP1\nz7/8ciMuuEC8QFvWSkSig84nEomY1iai78suBd8oAFnrkJmViBUxTq1Eqqpa1ifyapHzikiLOSBe\nf4Cx1aehoSFMnToViqKUCBUvrF69GnfccQc+9alP6a/t3LkTy5cvRzgcxpw5czBv3jy0t7dj9uzZ\nGBgYQGtrKwDg0ksvxY4dO6TgGcuQRScWi0FRFKRSKUSjUd/t8o7h4SV42AXSS3YV7/5Uw8JjFoMV\njUZ19+SRI0eQTqdHuY/y+bz+w8Ptwws79xFrGqfMsGAwiFBIQz6v4K67+nHMMVn0949sKcHTbeYH\nVlh6HXOjGDT+sGLQykpjZyVSFGWUlYjuIba4JBu4ajymVUwRrzEUjbEkLmqJWZ94fp87d+5Ec3Mz\n3ve+95W8fujQISxcuFD/vbm5GclkEuFwGM3NzfrrTU1NSCaT3PrDAyl4XBKLxfSFg31K9AtNhjxu\nLB7xQOwk3NfX5zm7ivojukvLTOSwxf3YRTAWi+n/p/gktn0aHxo/s8Wy1lB2FVvokqxW69eHkM8X\n+5lMxrFyZbBsLJExnsZKFPmFxDf1PRQK6bFQXtp3G0tkFmhtZaExus7Y+kR0T9DnKPbLTyyRn3ov\nolyXIiKiKATMXX90Tzj9PhcvXoyenp5Rr996661Yv349fvnLX5Ycb6wjBY9LjDE8vEQK+wTIoy0v\nF6eZJQcAGhoafNUH4hlTxFPwmJ1vNBo1FTn0WYIsOaFQCPF4XI/jcRpgbCcMKgUJtHLxRCtX5vG9\n74Vx6qkFXHttjrvbzC6WyK5ttrQDjyKMTih37qxVhj1/M4FC7Rn3K2PbseqD0UrEzj10DLN6L+Ws\nRCIuYqJZU4xxX6JgNk69vb2uqizv3r3b9PWXXnoJ+/fvx/vf/34AQFdXFxYsWID29nY0NTWhs7NT\nf29XVxeam5vR1NSErq6uktebmprcnFLFkYLHBzxFClCb+jnl3FV9fX3cBJjfceI1QdOu61abdNKY\n0DEBON7awU2AsVEUmQUYG8WB24nXi9tn0iRg7940TjstjmuvjeD++4dR7pBeLCUUx2JmKaFzZQsa\nsltwiAL7fbCB0WRBo/uZNnxlx4AVRXYWGvrX7p4uuiGtrURWIozazmazvq1EvBBV8IgGXTcsPT09\nXGrwnHrqqejt7dV/nzt3Lvbu3YvJkydj6dKluPjii7F69Wokk0l0dHSgtbUViqKgsbER7e3taG1t\nxbZt23D11Vf77gtPpOBxifEC4yVS2Lb8Uk4YsItguZgcXm4kHvixXFGcChX7i8VitiKHFlueWzt4\ntRa4dR0B0EUsWaGoRILT7+KWW8Lo61Pw8MMhfPvbw5g+vfxneJw7a4UyPlmz30Ul3WZeYa1QAPQq\n6uWuF6OlhhVETlPw2Xbo/+xY0H1tfEgzpjZ7sRLxRFqcnGPm0uIleIyw59/S0oJly5ahpaUFoVAI\nmzZt0v++adMmrFixAul0Gm1tbUIFLANS8HiCXXh5BxvzjHVhb1RjjIrTmByefeKRYeXGcmW2E3ks\nFkM+n9f3xDFactgFV1Gqu7WDmbXA7LzKuY4IskSxMWdO3GaaBjz3XPEzf/pT2rfYKQdrZWTdhEYr\nFHvu9H9ebjM/fafrhfZIc1N2AHCfaWcVU2QmRIyihL1/6B4hjFYiuvftrESs+OIRS8SOiSiIKHis\n5uTu7u6KuJHeeOONkt/Xrl2LtWvXjnrfggUL8OKLL3I/Pi+k4PFApQQPTwsPPb0ZYx/KVXyuVJ94\nx99YQcUAWZHDbtJJi1N/f3/JxEyTuaIoCIfDwrlOCNZ1ZOY6CYVCJcUP7eKIzKwkgUAA9fV1+vHu\nuy+Eu+7iUxCThe07e23aWaG8uM2cuAyNbrTygrA0s81v4LQT3J47K1CM586+n64ZMyuRESsrkVUs\nETLdIZgAACAASURBVBv7ZiaGzMZbVHEhap+M/ert7cUHPvCBGvVKfKTg8QB7kfEWPOwTlxdowgGA\ngYEBR9ta2MHb6lSJNsw26bTaiTwUCqGhoUFfbFkLD4kIViBaiYJaToCsUADgSqBZLYyvvVbAunV1\nmD49r7/3iScOY8IEBdms5loUlOs7uVGcun2c4NVlyI4DiQCz750sUbXa2NWOcufO3iOBQEDfyoS1\nlBmtROx1bmUlMkJWIvZzZu46KysRQTXO6Hxqeb+NJTdbpVxa4wUpeHwSCPDbEsJPjIoxpVpRFMRi\nMcRisZr0qRLtsG1Y7UTObtLpdWsHK1HgJLjYLMaCB+Rqo723qO9uxZfVwjh7NnDwYAR//GMEn/tc\nDpdcksOZZwZciwIzQWSWHUbVyKu5kLl1GdI1RBvBGtsh64lIYpiFnRdo3Kn0gNX7zVym7O+AeaFG\nep3uTytRZGclIosUAF9WIt6YxcrUGivBI3dKt0cKHg+wF5qbuJJyuLEWmYkcdu+uwcFBLpMAD6sT\nwEfw0ALU398PVVVLRA5gvn8Va7GhSb9cjIVXSwFv14lRKHiJD3FKYyPwk59kMG9eAqlUAR/9KACE\nLc/fSSwN6+6goO9QKFSR/vOCviMae8psY/dJq4bbzCtm7janxRidXPcARp27XSyRGysR+/lIJFLW\nSsQGdLPiy3hsHlYi0a5Xck0bSaVSaGxsrEGPxgZS8HjA6NLiZfIsJ3jKiRw3bTmFp4XHS3/IKkMB\nrQBGLT7l9q/ivbWDW0uBnZXEbDGkdG3alLRaFZtbWuIAgJ/+NITvf38YVg+1VvEkxuBj1nVCYpS+\nE+OCVGkLWTncxBRV0m1mFAlOMboKK+FuY6953oUaSTQCRRcta90xwgpmMysR9YGXlUjUGB7jdyui\n6000pODxCc8YHjNR4EbkGNuqpVAx4kYYsu4b9gk7EAigv78fwIiPn/oIwPc2AzyxEgWEmXWI3FVs\nGzQWVJ3Xz6Jox8AAQF19552UpdixOg9jUUCzGkXsZ8ye2P1ueOoFtu+A81RyK9yIYbNzp9eMItgo\njAijy6rWwfZOraOsBY09X5rvKIHAykpkFVxNrzmNJTKzEhnFEF2PIgkfM8Hjtsry0YgUPB4wurTY\nG4ZHu+wC6EbksPCKLeJlwSonnMgqY6wdU1dXp3+W0n5TqVTJUxt9PhAoZpyw8SEi3/xsEGwgENB3\nXqcxt3OZsa4DO1HglBkzEvr/N2wI4frr8zbvNhcKThfbcosiUN5t5MdKQosqLaxud7D3C4lhK5zG\nkLFtRSIR/bphrSiiwd7nZEVj3Vf0HjNhYiYI7aw0PK1EmUxGf6+Zy6zaVkmz9aanpwczZsyoyvHH\nKlLw+IR9CvDzZEU3FwD09fWVFIvz8rTJ08JTqXaM1isrkUMEAgEkEglTtwk7WaXTactYCrNJqloY\nrSGKYp2l5OZJmX7MKhdbiQJWEAwOAkuX5vHkk0Hs3JnFaaeZLxLGmKJKCgU3FjK7OCLjuVLlZvYh\nQjRhYPbd03VTKJRWbqa/ORHEZu7TamAmMO3EsRtByF4HTgs1lrMS0XtoblFVtWS7GeO9xxZrtLIS\nsd8nj3G3EjwzZ8703fZ4RgoeD9CFTDeLV8Fj5q5SFAWJRML3Duy8XG08Y4Fosii3SacxJgdwvrUD\ni52VwDgpWi0IvN0mmsZniwS3gsjKShAIBPDAA3V44oniVPDoowo++tE8CgXzqs21dhUSTgQRa0Gj\nhwn6blVVRSaTQTabtRSDtbaSsPeKW4Hpxm1mJYz8nj8bPB0MBrnVKnJrIbSyFLHnzbZLczvF0dHc\nxc6DmqY5shLRfMZam6zEkJsxtxI8MkPLHil4PGImeJxQLiZnYGCAyyTLyzJD+HHZsTd+X1+fqcih\nCYb6DoxMmF63dnBjJTAzmxsFkZnLyGpMqmkNMcOpINI0DV/5iorXXsvir38N4Kab+pFOF0Zdz8Fg\nENFoVD9vurZEs44A5mNvTMcuF0dkJojdfP9e0TSt5LqneyUcDrs6Fi+3mdvzJ5cVjT1bE6uaOBXE\n7PmT9c/4wEVzFHu+dD52ViKzcWIf/LxaiaxCKCpVZXk8IQUPB+gitqKcyGHhbZnxG1vEPvG4aYcE\njHHn9cbGRkuRoyhKSaaMolS2uJsXQVQujoQ1r/PODuMJOwkHg0HcfbeKKVOimDNnGt58swexmDO3\nSTmXWTXdJm4sUW6tBG7cRk7iiIywVkDAf/B0OXifP/t+suZQPJqIsOdPIo0sMdFoVI8rMnsQsnOb\nGt1mdmuDmZWI5tpyViIAyGQyUBQFP/zhD5FIJPDGG2+gqalJj4GUjEaOikfYiYxuGhY3IoeFpwuJ\nF9SncpOXmcihncgVRcGRI0f0tFl2QSgUCshmsyVxLbXONgGcCSKKm2FFGv2QSdxsQay2ILCCni5X\nrIjrr2Wz9Zg2rfxC5TaOhnccCY2/m+0p3OBUEJtZiKwWROM40LXjdR+uSlLu/FmXFTCSrk4Cghbk\nSrrNvMJa0nK5XEmtJbY/blPwjb8D9oUa2XbMMH6W3pvNZvX0/d7eXrz22mvYt28fHn/8cVx22WWY\nMWMGZs2ahc9+9rO46qqrXI3NTTfdhM2bN2PatGkAgHXr1uHcc88FAKxfvx5bt25FMBjExo0bsWTJ\nEgDA3r17sWLFCmQyGbS1tWHDhg2ujlktpODxiFHwkEnSi8gxtstD8FC/vMQWmfXJ6oZkJw7avyoa\njY6y5FChQDJ1G29ycllR3RYvVqVqYXQ7BAIB3ZrAfs9uF0Q/FgK3/WdT+FOpCMLh4jXyhz+k0dzM\nz2VoXADcpl+bnX+1rSFWuHUb0ZM6CRxjO2ThZK8LEUQxC/tQQwHIZtXK6b1u3IZ2oogXJPCNGwp7\nuXbcuI3NXOfGOcB4z5tZiegaYsXPmjVroCgK/umf/gl79uxBPB5HMpnEwYMH0dDQ4Om8Vq9ejdWr\nV5e8vm/fPmzfvh379u1DMpnEokWL0NHRAUVRsGrVKmzZsgWtra1oa2vDrl27hNspHZCCxzfsUyYb\nn+I1u4rEEw/shIrbdowijLXkAKM36TS6q+jpmwQPAL3yLjAiDsxcJtWMobDCaE1w4m7zsiBWykJC\n3wf1n93w8pvfjOCnPy1WVV63Lowf/3jY/QBZnL+TBcHObWJ0PdC4hEIhxGIxXSCLCNt3WmhJ6FAJ\nArpHrURhtQWBFaw1xKklzYvbjK5Tu3vA7Hc7zKw51bCkGd3GVn2zcpex9wC9l9p67rnnEI1GMWvW\nLBw8eBAPPvgg/vrXvyKRSCAUCmHOnDmYM2eO576brRs7d+7E8uXLEQ6HMWfOHMybNw/t7e2YPXs2\nBgYG0NraCgC49NJLsWPHDil4xhOFQgGDg4O6JQcAJkyY4Hvy5eXS4tkWLTasJUfTNNtNOlkTrNut\nHQinMTSVXAz8bNRZDi+CwM5CYiaGaKFliwLGYjGkUgH09CiYMUPDV76Sx+bNRcFz+HD1rAnlzp+e\nZrPZbEkJAvpbKpUCULttHMphFldkde07jSNzIgh4uQ1Zi3WhUOCSXWjEi5XQrPyC2RgAI0LNyQNK\nLbB7KCJXP4UHsAJ5x44d+P3vf49kMonBwUEce+yxOOmkk3DFFVfgE5/4BC677DJf/brnnnvwgx/8\nAB/60Ifwne98BxMnTsShQ4ewcOFC/T3Nzc1IJpMIh8Nobm7WX29qakIymfR1/EohBY9HAoFikTt6\nyjl8+DC3uAEeVhlebVHWwvDwMNLptKf9q7wG7zqNoeAtiFizt6ZpVc+wIrwIInb7BvruqQ0axx/9\nKIArr0yYtvn000Fce20Yd97Jx8roBbNtEqwsplbuAvbJudoWEi/WECt4ug3t3Kdse1734qoEbu4B\nNqaOXINsO1YxdSK5Dc1chpRhqGka9u3bhy1btuCll17CFVdcgUsvvRTRaBQHDx7Uf+rq6soeZ/Hi\nxejp6Rn1+q233opVq1bhm9/8JgDgxhtvxNe//nVs2bKF+7nWAil4PBIIBEp2IucVc0JWGZ5tuYVi\nJGiXaCrTTjeSmSUHqP7WDm4FkdnTMTvp0XmxLhMRM6wIM5cJnRu5C42uoEKhgFdftRfBp58+spVF\ntc6dtURR/51YE3hcAzziqIwiuRLWEDPcimIz1zEwEkBLAoke5kjki34PACixxLKZVtVwm/mF5lw2\n2YNEciaTwaOPPoof/vCHmDZtGlatWoVNmzaVfOfz58/H/PnzHR9v9+7djt53+eWX4/zzzwdQtNx0\ndnbqf+vq6kJzczOamprQ1dVV8rqo6fFS8HjEeAOQ+8CvuZS1kvi9ycxib6xgbzi23H4oFNIzLtLp\n9KhJgBU5bHVoESbIcoshnbNxQ0ug+JSeSqWEiJ+wwsxl4kRkfvvbwLe/nfrb5zVMnFiv/+2BBwbw\nqU9lkEqZ12IxO38/LpNKFzV0KojcBJazQoiETjmXVa2wE0Ssy4qtPg2MuFNqZSVzglOXoRcrmZUo\ntBPFbseAHrDIZcuKZE3TsH//fmzduhVPP/00LrjgAvzoRz+qytYR3d3desXmxx9/HKeddhoAYOnS\npbj44ouxevVqJJNJdHR0oLW1FYqioLGxEe3t7WhtbcW2bdtw9dVXV7yfXpCCxwesy4iepHm364dA\nIFCSDWLETOSwVg1ykdATn9FcTtBEyW7xQOchGmbBu2wAqfG9bixE1VgIWJcDxbV4FZmKoiAcVrBx\n4zCuvrq40B08GEVdXVA/VrnAasDdQmAM/vbr8vGLXQwFYO0yMrpM6P43bvRaTSuZU8ysCXaFDctZ\niKptIWH7z7o8vR7DqZXM7Dowuk7t4qmof6w1EEBJ//P5PH72s5/hoYceQjgcxhVXXIE777yzqiU6\n1qxZg//93/+FoiiYO3cu7r//fgBAS0sLli1bhpaWFoRCIWzatEk/p02bNmHFihVIp9Noa2sTMmAZ\nABSN1yp9FMJmHA0ODupPqH7p7+9HPB5HOBz21Q5ZZhobG/XXKL6G3aSTfapmFzLAemsHs6J0RnFg\n5Sqo9lOh2SLLozCaXWYFb0FkFtfCq7Bbby9w/PEjMT07d2awaJHzyuFm3z+dP7sQ0O8AdGugSNYQ\nO4wuN3b8zQQB+wPUfk83YwByOBzWx59H22bnbcw0Kncf2I2B0ZpD4y/K9VPuGmAt9nRPdHZ24vXX\nX8esWbOQSCTw2GOPYdeuXVi8eDGuuOIKzJ49W4hzG09IweMDetIDgFQqBUVREI/Hy3yqPLzEUz6f\nx9DQEBobG013IqenOiuRY7a1g9NF1sxVYCYG7OIn/N7sRpFAkzwPkeAEv4KIneQpeJrXIsXy7/8e\nwnXXRUpe+853hrFiRR5MmJprWHFdKBT0FHJjoGk5y0CtJn2jNZCufzcuNyvrgJkorMQYGPezikQi\nVY9Ls4ojKicK6bzpHvC6zUYtoXsgm80CQIlI/u1vf4u7774byWQSnZ2dCIVCOOGEEzBnzhzMmjUL\nN910k178T8IHKXh8wAqeTCYDVVUdRciXY2hoCIFAwJd40rRiNU4SYiRyKJCVnWyBUpFjrDVTiRLx\nTp6IvFhH2LgcViSI6FowE0CUFWd0l5BYqJQY0DTgP/8ziM98plRkf+tbw7juuryrczJm+dgtsuUs\nA9UQxkZYoUxCnwJgKwHvMWCFJgVQV1Poe8Gp27Ca14Ef2BIeZEUna9S7776Lhx9+GI8//jgWLlyI\nlStX4uSTT0ZfXx8OHjyIAwcO4ODBg1ixYoWnwoESa6Tg8QGlQALQVTyPCzSdTkPTNCQS5qnDVrBm\na3qiy+fzaGxsRDAYtBQ5rEggSwjrsqoFThcB1l1CE6SXJ/FaYhZXRJYcO2FYyRiiurqRa29oKIVk\nUkEkosHqgbNSLjenrgK/rtNKunz84nQMWLch63YWxe1TDjY2xxhb5OU6qGQckRnGa4gVmoVCAc89\n9xw2b96Mrq4uXHbZZbjooou4PCBLnCMFjw/Irw+MuI8mTJjgu13aV6q+vr7se1m3h9HsGwgEcPjw\n4ZJdrslSYFZQjz4zliZHiqkwxokY3QRuYwYqDY+4okrHEHV2Kjj77CiyWaC3V4GmKbj88hz+3//L\nIRg0TyWvtkhw4jq1swqw51DOGiUihcJIcTr2/jaOCzsGVtdCLWDnL0qc8HINOY0jKmch8jIOdm7D\ngYEBbN++Hdu3b8cpp5yClStXYsGCBTUZ7zlz5ugPv+FwGHv27MF7772Hiy66CAcOHMCcOXPwH//x\nH5g4cWLV+1YtpODxASt4VFVFf38/Jk2a5LvdXC6HdDpdEmzMYhQ59DTEPk3QBEBZI+wEQJCrxOgu\nEXWyN7OEkEgw9tkumNYqZqAaY2AlNCshEngIosOHFRw5oqCrS8E554wE9NxwwxC++tX+iljTcjlg\n9+4gFi1SEYkAhw8DiQTwq18F0dxcwPHHa6ivL7rhAEBRip9RFMC4SbTZQujEbWgUCCJhJRKs+mo2\nBsbfKyUGrDC6DSsdm2OMG3MyJ9jFUtlZczRNw1/+8hds3rwZL730EpYvX45LLrmk5kJi7ty52Lt3\nLyZPnqy/dt1112Hq1Km47rrrcPvtt+Pw4cO47bbbatjLyiIFjw/IV07/P3z4MCZNmuT7pjWzFpFF\ngC01biVyAIy6Mdmqx7Q4WU2ComRXseftNXjart1qCSIzS4gIGSZOBZGiKPje9xK48cZSi+N//Eca\n553Hd/p47rkA/v7vrSOlJ03SkMkA6bT9uP3oR1l86lMjJRmsXFasNcTKOlBrVwlhVsGZh0jwIgbM\nRGG5fojsNgScudHZeVVRFAwODmLfvn2YNWsWjjnmGDz55JN4+OGHMWPGDKxcuRIf+9jHfLt1eTF3\n7lw8//zzmDJliv7a/Pnz8bvf/Q7Tp09HT08P/v7v/x6vvPJKDXtZWWQdHk6wPnS/ExArYIw7kUci\nkVE7kbObdFIfvG7tYPY06LQyLS9BRMdn44p474ND5n+zyZZ1i1mNg90TMfWx0kX1/MKOQXt7AP/w\nDzGceaaKY47R8LOfjUwNkycX8N57peP+5JPv4uSThzEwwDeGaP78Au64YxjHHKPh8ssjyOdHPn/D\nDTl84xs5FArAm28q2LAhhD17gvjzn0f6du21OTQ2ajjllNL7x26bBOq7GVYWIuO1YDUGfgWRmSWh\nEvtZlRsDwLz8BPugZSUI6RzYulEiZlpZzQk0x2azWaiqilAopL+np6cH69evR1dXF7q7u5FIJHDS\nSSdh+vTpePLJJzFt2jS0tLTU4nRGoSgKFi1ahGAwiCuvvBJf+tKX0Nvbi+nTpwMApk+fjt7e3hr3\nsrJIweMDVmAAI0LF76JMk8iRI0cAlN+JnCYOHls7OJn8jE8/djucu3kSrORGnW5g+2gniIzjYNzD\nij7PZsjQ9SHaZD9/fvEpvr09iC1bhvDuuwX8/vfFVHWj2AGAhoY6TJ8eG7Xw+S3M2NAAfOUrxWu7\nuTmLRYtif+tDClSlIRAAjj9ew4YNOQA5PPJIEF/8YvGP990Xwqc/ncfOnRrmzs3h+OPzOOmkIBoa\nvIllJ/dDuXuinDg2c8eKtp8VANf72pHLzdgOjY3x2hDtnqBzMHO75XI5PPnkk/j+97+P6dOn48Yb\nb8SiRYvw1ltv4cCBA/qPSA6UZ599FjNnzsTbb7+NxYsXj9qKotZxjdVAurR8QqmfADAwMKDv4eIW\n1pJDE2d9fT1CfwtKYBdS9qI029qhllYEO1eRWTAxBY5SnJFoBcWcwC5OiqLoMS0ARi2ERquAnTCs\nFpqm4e23C5g7t5hh+OKL76JQCOP444MIBBS8+qqC3l4FCxYUoKrFeBpjrIxVu05cZnaC6OabI9i8\nOYQ//SkNxhI/ikJBQ2dnHq+8UkBHRwD790fwxhshvP56EG+8URQra9bksGxZHnPnauBQH9QRbt1F\n9B4AQpdUsMIqgBeA7RiIkGUFmG/3wGZMHjp0CA8++CB2796Ns88+G1/60pcwa9asMfP9EDfffDPq\n6+vxwAMP4Le//S1mzJiB7u5ufPKTnxzXLi0peHzCVlseGhpCMBgs2VTUDqPIYW+ugYEBPU7F+DTs\nNHBXRIzZSUa/OFCbYGK3kEWHrXXiNPjYKqPELm6kEk/DxlTy11+P4aMfHYkbu+uuYaxa5bwGj1us\nBJGqFvDKKwouuWQSOjtHlNW77743ym1IT+H5fF7PPjHeC489FsRll0Vw1lkFPPNM8fu55ZZhnHii\nhhNOKGDevOoJICNkDSJriPHcrOJnjNdCrWPBrAJ43bTh9J6ohOuQvZ8B6OegKApUVcVvfvMbbN26\nFZlMBl/84hdxwQUX+K6E75ddu3bhmmuugaqquPzyy7FmzRrL96ZSKaiqioaGBgwNDWHJkiX41re+\nhaeeegpTpkzBmjVrcNttt6Gvr08GLUusYYsPOqmfw5pJVVUtETnAyCJAVht20iMURdGDjymzRBQh\nYAWbWWJljXLyNFzLp0DjxF6p7RHsJn+/cVR0bVmlkj/wQAjXXFO0UH796zlceGEe739/9aYIVQVO\nOCGOeFzDwYMjC+bVV2fwrW+lSqyBBN0PTsbh5z8P4uBBBZ2dCjZuHFmw3nwzZVljqBK4yVJyazV1\n40b2ew7VquLsJNMMcLfRrdF1yN4LiqLgnXfewQ9/+EPs2LEDZ511FlauXImTTjpJiLlWVVWcfPLJ\neOqpp9DU1IQzzjgDP/7xj3HKKaeYvn///v349Kc/DaC4Zv3Lv/wLbrjhBrz33ntYtmwZDh48iDky\nLV1SDmO15Xw+P6p+jlHk0I1Vbv8qY1YGTerUZjkXSaUnvHKQyOFljaqkEHBzDiK4Dd2OA03uFHRp\ndw6FAnDTTWF85ztFQXDllTncdVcOHkJgPPHYY0F8/vMRqGqxb4sWqXjkkQyCwZxeZoFNhbcSyWyW\nmdn18MILQXziE6Ormf/4x1ksXWq96a5XKpWlVM4yYuZG9npf8LDmVAKrRAMnrsNsNotsNouZM2dC\nURT84Q9/wJYtW9DT04PLLrsMy5Ytc10EttL8z//8D26++Wbs2rULAHSrzPXXX1/LbgmPDFr2CTtR\n0I0ElJpIKYjYbCdyYztmWzuUy04SIbOK7YtZQT0eGVZuA0i9jkMlz4EHTgPLWaHGPuHSmNi5Bm65\nJYcnnwzi5ZcDuP/+MKZP17BmjTf3lqYByaSCGTM0PfYnnQaefz6ANWsi+NOfArj//iw+97ni/XDh\nhSpOPTWDhgYNkyfnMWVKI449NoGurncQDocd74xdLpj4xBM1HDrUj5//PIb//u8ofvjDoit6+fIR\n/9bddw/jH/9RxYwZGrzcIsZrKRgMcg9AtsouYvtgFEJmweV21wP70FbrIGozyiUaANAzrShbjN63\nZ88efPnLX8bAwADi8Tjq6upwxhln4JOf/CSCwSD6+/uFEzzJZBLHHXec/ntzczPa29tr2KOxgRQ8\nPmFveFpMBgYGStw2dXV1tiKnUCjo1ZUp6NVNdpLTBdBq4jczibt1E5lt1FntDCse40CCB4C+OI0V\ntyFQWoEagC4Q2DFxej28/HKCaVfVFwp2cclmi26oWAx48UUFzz4bxL59ASxYoOL228Po7AxgyhQN\nw8PF99TVaZgxQ8OLLwZw0kkF/OlPxX4lkwpUFfjznxU880wAkybl8f3vhzF5cgCXXprBD34QQyZT\nh3KV+DUNeP11Bc89F8BzzwWQzSqYO7eAtjYVc+dquPnmMP7xH1V87GMj575sWQGf+UwGd96Zwgc/\nOAHd3SPX7DXXRHDNNcX/33ffIC66KO/KdcjGeFGmZbVxI4iM14NxviI3Ogk5EWKI7DCzSMXjcf3h\n9MUXX8R//dd/4cQTT8RnP/tZLFy4EIcPH8aBAwfw5ptvYteuXfi7v/s7zJgxo9anUoKo4y06UvBw\ngPbRokXGKHJoIgFGFmXWXUUTYl1dXUUWVrdPgMYFEDD3jQMjQkfTNF3kiCoOzMaBjWkhdw/7VMvu\nVs5DGFYCM1dJPB63jC2yux7efrsoPurqSl06//ZvcXzkI2k8/3wIoZCGvXsjeOyxOBIJDbGYhkIB\nmDZNw1lnFTBtWgG//W0QnZ3Fa+Q3v8lg1iwNr7+uoLtbgaIAra0FaBpw2mlxvPWWgltuieCWWyI4\n6aQ8WluzePXVCLq7g/j970cEwqxZCTzzTBqnn27thf/618O4//6R2JwPfKCAUEhDW1sM77xTHIt7\n7x35++uvp/H88wFMnarhwx8u4KWXspgyZfTT/KWXZnHeecPI5+1dZkbXod33IArs9cDGtdA5UDA+\nO084tZzyDLJ3gzG+iLVIpdNpPPbYY/jRj36EpqYmrFy5EmeddZYQ1lunNDU1obOzU/+9s7MTzc3N\nNezR2EDG8PhEVVUcPnxY98X39/eP2kCUFTlsdpIoFXftMLqJaDI3Pvn9//bOPKqpc2vjzwkEQUAC\n4kgYAlJEQUQBx95SLSryaVtR6zzbyv2q9eqqQ3u12nVRrLWtenXVLgFnpdX2SqtgHQCH61y0rYqg\nJICMImgBGSR5vz/ynUMSEpJgJvD9reVackLgPYecc/bZez/7sbT+oZZgAwTFmUW62CO01B/Aloi0\nHQtD7oM+ruTaSE/nISqqSV3o6kq4AEGR+fNfQCJh/j/AkeHLL2uQl8dAIGhE167aM4aqzaN//EEw\neHBT2qay8in4fD5KSxn8/HNTA7U6oqIa8f33DUrbpk61QXKy8nNcWdlziMUM7Ozk83uysxm8/rot\namoYODsThITIM01lZZqP24wZjRg9WooLF3j47js+vLxkkEjkN8i3327Av//9DFZWTbOxAOhUKrKU\nc4OQJod1AHqZv7a2t061sdoQ+9CS3UNOTg4SEhJw9epVREdHY+7cuehiyk51Naxbtw67d+/m1rFh\nwwZERkYCADZu3IiEhARYWVlh27ZtGDVqFPe+xsZG+Pn54ezZs+jZsyfCwsJabFqmyKEBjwFgc8AP\nQQAAIABJREFU1VmEEDx//pwbCqh4IrMnviU0vepLSwEC+7opG4lbuw+qAYIh5fyqF311x8QQF31j\nuZIvWmSD/fs1J3xdXQkuX65Dz57aLxfaAkMASqXD/HwbnDtnh9mzpXBy4sHdvSMqKzUcC5sTgOs2\ngF+Pfv58rP3fRXhjcCRsbeUDCQkBsrMZREV1QHFx0zHx9ZXBx6dJhu7sTDB2rBQdO8o9uLKzGRw+\nbI0vvuDDwYGgurrp9w8dKsU770ixZYs8EFNk/Pg6EEJw/z4f9vYMvvuuAX36kGbHQd0xMXdApE2l\nZMjfo6vkXN15oe3cUOwv4vF4StmchoYGnDhxAnv37oWDgwPef/99REREWIydxfr16+Ho6Ihly5Yp\nbb979y6mTZuG69evo7CwEG+99Rays7OVzvOUlBROlj5//nysXr3a1Mtvc9CA5yXJysrC/PnzYWtr\nC09PT3h5ecHZ2Rnl5eW4f/8+PvzwQ/j6+nIf1JZufpb05GcohZU2Kamxy0SqQwENFSDoy8sozAD5\nEx1bRjCGBxEhwM8/W6GggMGKFc2zKtXVz1vVtNv085uPJVAdxcD+u3LFBhMmqJkyaHMC8P0ImPSw\nadsPPkDOVqAhCkKhDO+/34jly5uaq4uKGJSXywclPnzIw4MHDP75z6b9S06uQ2CgDCdOWCE7m4c7\nd3g4e7bpuH7xRQM3+bmmBmhokOLMGSAwsBZCoTwT8tdffPTp0xE1NfIDdONGLfz99QsMTRkQKfYX\nAfplc4yBpnNDcZtiaUyxfMiqZFUHBD569AiJiYk4e/YsIiMjsXDhQgiFQrNfV1VhBwAuX75cafvG\njRvB4/G42TpjxozBunXrMHjwYHMss91AAx4DQAhBdXU1vvnmG/z444/IyspCQEAARCIRioqKIJPJ\n4OrqygVEXl5e8Pb2hlAohLW1tdogwBwBkSZ1kjEvhsYoE6lrGDWWI7mhaI+lQ0B/w0tVefHhw9aI\niZGXvPxHjsS91881f9N3o4Gi1BbXMXduIxITrTFqlBQHDtSja1fNqpvMzFpUVjLw85NBIGgq97Cz\ni1Sl2EOH2nLN1wCwYUMDPvro5Qc2GjIgMlU2xxgofh7Y6xN7XrCZwjVr1uD69evo2rUr8vPzYWVl\nhXHjxmHSpEnw9fVVMmK2JNavX4/ExEQ4OTkhJCQEW7ZsgUAgwOLFizF48GBMnz4dALBgwQJERkYi\nOjrazCtu29CAx4CsXr0aAwYMQFRUFCdjZE/WsrIy5ObmIjc3F2KxGLm5ucjLy0NdXR2sra3h5ubG\nBUTe3t4QiURwdXUF0NyewJBZEfZnWkIWRN3atGWI1DWMtuXSoWrAyf4tALR4HDR9JhSfjE11HNiA\nUzFAMETAOfqD0bjY62Kz7R5pw/E3919x4EDzmTr6Eh4uxYkT9Xr1SD15Im+oVoTPJ3jxQv59U6c2\nYvdu5V4jQ6BLQMT+3dlzhR1Yyu5HWzg3VLODqsNay8rKsGfPHly+fBmenp5wdnZGdXU1p7QqKipC\nWVkZV4I3NRERESgpKWm2PTY2FoMHD+b6d9asWYPi4mLEx8erDXjGjh2LCRMmmHTt7Q0a8JgZtj8m\nPz8fYrEYDx8+5AKi4uJiECKf3Mxmhjw9PeHj4wMPDw/Y29vr3Cui+tSn2kDdFrIgqijeWKVSqZIk\n3RJ6JHRFMeAElD2UdEWXvhljlg5VS6C6NoLrw/iY8TjrfbbZ9rfEb+H4zuPcOiZN6oCUFGv07i1F\nVpb2z/OUKQ3YtKkWAA8lJTw0NDTCxaUenTsTnYP/hgbA2Vl91sjLS4b1619AICAYMUIGYz9HsMEa\nO3NGUZGnGiRZ8vmhrvTG2j3IZDL897//RXx8PB4/fow5c+Zg8uTJam192MDP0pFIJBg3bhz++OOP\nZoMEx4wZg/Xr12PQoEHmXGKbhwY8Fg4hBFVVVVx2iM0QicVizk29a9euzcplbm5uXNaDvcCxWQMW\nHk8+fEtxLL+5L3La0Kfspq0vwJwyc3VScmMq9oylMFO1SGCDNWPsQ8q5FKz4bgVyB+Zy20Q3Rdj8\n/mZEjohs8b0vXgACgX7D48LCXmDXrhp4eUEpMFC3b3V1cluOVat0Mw62sSFIS6tD//6Gu/yqBs6K\nAYI6LLGpWlvp7dmzZzhy5Ai+//57BAUFISYmBv369TPpNeuHH37AunXrkJWVhevXr2PAgAHca5qU\nVTdv3sScOXNQV1eHsWPHYuvWrQCA4uJi9OjRAwDw9ddf4/r16zh06BDXtHzt2jWuafnBgwcWfW1u\nC9CApw3DlnxKSkqUMkNisRj5+fnckxF7IXzw4AEOHTqEvn37cjVtU2cCWotikAO0Lguiii5BgLYL\nvr6/z9JsKth16aMwY/smWE8rPp/PDWg0NinnUvDt0W9RJ62DrZUtFk1cpDXYYbl3j4FYzENBAYOc\nHAZXrvCQmanfmm/eLEXPnk2Bcm6uNQYN0u49NG/eCyQkyEuTvXvLkJXF07m5uSVUyz2G7M0xZUDE\n9kmpa6QmhODWrVuIj4/H/fv3MWPGDEyfPh2dOnV6qf1rLVlZWeDxePjggw+wZcsWLuBRp6zKyckB\nwzAICwvDv//9b4SFhWHs2LFYsmQJxowZg1mzZuHWrVtgGAYikQi7du1Ct27dAMgl6gkJCbC2tsbW\nrVsxevRos+xve4IGPO0UQgimT5+OEydOIDQ0FMOGDYOrqytX1y4pKQEhBA4ODhCJREr9Qx4eHrCz\ns2t1ucxQqPaCKAY5xg4Q9FGOaDsWxpKSmwp2n9lgjS0fsoGPuZrsW4O6zBpggz/+4CMjg4e5cxvh\n6ipXrRUUMFi61AanTjUFRZ06EUyc2IivvqoFITI8fy5DQIAAlZXKf8uPP67GsGFSvP661CjHgn2I\n0cV81FgYIiBqKZvz/PlzHD16FIcOHYKnpycWLVqEIUOGWMx58+abbyoFPJqUVZ6enhgxYgTu3bsH\nADhy5AjS09Px7bffmm3tryp00nI7hWEYzJo1Czt27ICzs7Pa7yGE4NmzZ8jNzeUyRBkZGZBIJPjr\nr7/AMAy6d+/O9Q6JRCKIRCL06NGDe/LSZlGhmhnQdkFmb0iKM3/M4dujWOLRtE7Vi7w2mwo2m2PO\nTJm+qAvW1FlVaDsW5uwVUSyTsD0tqp+psDAZwsIUDXwBDw+CH3+sR00NIBYz+P13HhYu7ICEBD4S\nEvgYN64RixY1Yv/+BvzP/yj3jjQ08PHwIQ91dTyMHFlvkGOhmM1hDVRNbd+iCMMYzrKirKwMSUlJ\n8PDwgK2tLdLS0nDv3j1MnjwZP/74IyfgsGSKioqUZONCoRCFhYXg8/lKU5Dd3NxQWFhojiW+8tCA\npx0zZsyYFl9nGAYCgQADBgxQqkMDTReroqIiLhi6du0akpKSUFBQwKklPDw8uOwQGxAJBAK1T3yA\n+nIZGxiozvzR1STSHKgLiFTLC+zNgG2ylEql3AXfnP1D2lCXBWnpxqpLcKj65K+Ll9vLKsxUm175\nfH6r/Kzs7YGAAIKAACmmTXuO27cZLF9uA0dHYMMGPi5dan5ctm5tMiA9eZKPN96QNTsWqkGAumOh\nKjLg8eSD9Sz53GBRDYjYoFMmk3HnOPvgRAhBYWEhLly4gIKCAlRXV6Oqqgrl5eU4efIkli5divHj\nx5ts7ZqUVRs2bMC4ceNMtg6KYaEBD0Ut7MXK3d0d7u7uCA8PV3qdEIK6ujpIJBKumTo5ORkSiQRl\nZWUghEAgECiVy0QiETw8PMDn8yGVSlFWVgYejwcHBwfu5yoGCOwF3tLKIopokpJruyGpCwgVb3yq\nmTFjB0TqZNiGyqzpkwlQdywA3fvK1KnFDO1nFRREcOZMvZr9kGeG6uqAigoGJSUMJBIGffsqZo50\nPxaKKkpFeTnr29faLKopUQ2eFU1UCSEoKChAQkIC0tLSEBUVhdjYWLi5uYFhGNTX16OgoAASiQSe\nnp4mXffp06f1fo+qv9WjR48gFArh5uaGR48eKW13c3MzyDop+kF7eChGgRCCiooKPHz4UGn2UFZW\nFvLz81FTU4MOHTogOjoaISEhcHV1hUgkQrdu3biMj7p+AEvJiKgqYgzRRM2iqX9IMStgqJ4ZxV4Q\nS+0v0lVhBoD7mm0IbwuD9RTR1puj7XPR0nnCHidTHA9V807F5nypVIrTp08jISEBhBAsWLAA48aN\nM+mcHE1KK4lEAn9/f/Tu3RsAMGTIEOzcuRNAc6XV77//ji+//BIDBw4EgBaVVYMGDcK2bdsQFhaG\nqKgormmZYlpowKMHrTV6o8jZsWMH1q5di+joaEyZMgVeXl7Iy8tTUpgVFhZCKpWiQ4cOXGbI09MT\n3t7e8PT0hJOTk17lMkMGRKaWkre0jpaCAHVlEcWvAXClN3Pux8vCKnvYRmrFzIkujfYtycxNvR+q\nvTmttQ4x5zwmbftRWlqKffv24ZdffkF4eDg++OAD+Pj4mOX4a1JaKc7CUYVVWhUWFmLatGmQyWRw\ndnZGcHAwUlJSAGhWVrHBUm1tLcaOHYtt27aZbmcpHDTg0YOXMXqjAJWVlbCzs1M7HEwRQuQmrGwQ\npDh76MmTJyCEoHPnzs16h4RCIWxsbAyqLrNUKXlL6HLTA+Q3PsUZTJbQP6QLqtmDljzedAkOzaUw\n09d2wxAYIyBqKSslk8lw8eJFxMfHo6KiAnPnzsXEiRO1XgNMharSSlPAU1xcTJVW7QDaw6Mn6uLD\n48ePY+rUqeDz+fDy8kKvXr1w7do1avSmgia1mCoMw8De3h4BAQEICAhQeo29gT158gQPHjyAWCzG\nvXv3cPLkSeTl5aG2thZWVlbo2bMnvP5/ECMbFHXt2pX7GdqaZoEmw072Im5ra9smgljFPhH2ZsTe\nzDp06KDWqkJT/5C6DJE5AiLFbI5qL0hLGEJtp6mPqjUBkb4N4YampR4i9li0dDxUjye7nf2ssbNx\nnj59isOHD+Po0aMIDg7G2rVrERAQYPHBNACIxWIEBwfDyckJ//rXvzB8+HAUFhZSpVU7gAY8erJ9\n+3bs27dPyehNkxyRYnjYC26XLl3QpUsXDBkyROl19oby6NEjLjuUnp6OhIQEFBcXQyaTwc7OjguE\nFMtlUqkUmZmZ8Pb2RpcuXZT6QljllSX0D2lDUfHGlhbUNe62dNNTvOGxTdmmzoiom7pr6BEF+irM\nNAVE2npmVLNS5hi1oA3Fv52mz4bqmAI2S/jkyRMEBwejY8eOEAgEePbsGQYMGIBJkybB398fjo6O\nJt/X1iitevbsiYKCAjg7O+O3337DO++8gzt37hh7qRQTQQMeFVoyeouJicHatWsByI3eli9fjvj4\neLU/x5IuZK8SbOOtt7c3vL29m71OiNzZng2GsrOzcejQIWRmZuLp06cIDQ3Fa6+9BkdHR6WSGets\nr0tGxFQlEdX9UlSLsaUefeXLhsqIaMoQ6XI8VBvCzZldM4TCjIX9m7BlxLaCusCTzUoxDIOamhqk\npaVh4MCB8PX1xfDhw9GxY0fk5eXh/v37OHXqFEJCQhAbG2vSdbdGacXacQDAgAED4OPjg5ycHKq0\naifQgEcFXU8SVlkAqJcjmupkSE1NxdKlSyGVSrFgwQJuyidFPQzDwNHREUFBQQgKCsKHH36I+vp6\nxMXFYcKECXBwcEBpaSnXSP3777/j+PHjyMvLQ0NDA6ytrSEUCpt5l3Xu3BmAbuUyQ2aHZDLDzJrR\nldZkRHTpEVEcRdBSVsrSUBcQqfbmsP0s7LFhy1mKwXJLJTNzoc7uwc7OjtuXe/fuISEhAb/99hsm\nT56M48ePc+dBW0KxTaG8vBzOzs6wsrJCbm4ucnJy4O3tDYFAgE6dOuHq1asICwvD/v37sWTJEjOu\nmtIaaNOyHlia0ZtUKoWfnx/OnDkDNzc3hIaG4vDhw/D39zfq721PsOoeXWBvAPn5+UpmrhKJhHO2\nd3BwUFsu02bVoc8NT3XAoSH9k4yNunJZY2Oj0k2Hx5Ob2mrKEFki6ubNaBtToC5bpvq1qRVm6rI5\nip+t+vp6JCcnY9++fXBxccGiRYvw5ptvmiVj9fHHH+OXX36BjY0NfHx8kJiYyHkEajPxLC8vR3V1\nNRobG+Hk5MQprY4dO4bPPvuMG83w+eefIyoqSum9VGnVdqEBjx5YmtHb5cuXsX79eqSmpgIA4uLi\nAACrVq0y+u+mNIcQgr/++kvJqoMNiFirjm7duillh0QiEedsr+7Gp3qzl0qlkEqlXCO1sZzJjYm6\n4EBx6q4lKqo00dK8mZfFlAoz9m9SX18PQohSwEYIQV5eHhITE5Geno5x48Zh4cKF3MOfuTh9+jRG\njhwJHo/HXfPi4uJaZeJJeTWgJS092Ldvn8bXPvnkE3zyyScmXA1QWFgId3d37muhUIirV6+adA2U\nJhiG4Z4Wg4ODlV5jb15FRUVcZujmzZv44YcfUFBQgBcvXsDGxgbu7u5KAZGzszNu376NDh06cE/S\n7E2orq6OkwJbWjlEFV0nORu6f0g1G2KMeUy6Ksb0xZD9VOoCI7aMqBiw2dracn+TxsZGpKamIjEx\nEQzDYOHChdi4caNJBwS2REREBPf/QYMG4dixYwDUq2avXr0KT09PVFVVISwsDID8AfY///kPDXhe\nISzjk0tpFZZ0Q6O0DHvzEgqFEAqF+Nvf/qb0OhvA5OXlIScnB7/88gs2btyI/Px8DB48GAKBAAcO\nHOBKZWx2iLXqUOfLZAnyctUeo5dpQH5ZRRXQ+qF7xrTeaC2tPR5SqVSpoZrH46GyshJHjx6Fp6cn\nnJ2dceHCBZw7dw4jR47E9u3bIRKJLPp6k5CQgKlTpwKgJp4UzdCApw2j2ixdUFCgdEKbCi8vL3Tq\n1IlToVy7dg0VFRV47733kJeXBy8vL3z//fcQCAQmX1tbgWEY2NnZoXfv3igvL8edO3ewatUqTJ48\nGZ06dQIhBJWVlUqlsnPnzkEikaC6uhoMw6BHjx5cQCQSieDl5cU525tSXq6ux8gUDcgvq6jSlAVh\nB08C8oDN0dGxTaisVI8HG7ARQpqZdzY2NuL+/ftISUmBRCJBZWUlbGxs0NjYiOzsbLz33nuYMmWK\nyfdBF2l5bGwsbGxsMG3aNFMvj9LGoAFPGyYkJAQ5OTmQSCTo2bMnkpKScPjwYZOvg2EYpKenw8XF\nhdsWFxeHiIgIrFixAps2bUJcXBzXY0RpmeHDh+PixYtK2xiGgYuLC1xcXBAaGqr0Gpt9YMtlDx8+\nxOXLl3Hw4EE8evRIyapDtX+IteowhLqMLY8oTty1JFdvXYbusYGhYnCg+H72GFlC/5AuqLN7UBx0\nWFlZiYMHD+LYsWMIDQ3Fd999h759+3KvicVi7vpiDrSpZvfs2YOTJ0/i7Nmz3DZq4knRBG1abuOk\npKRwsvT58+dj9erVJl+DSCTCjRs3lCSpvXv3RkZGBrp164aSkhKEh4cjKyvL5GujyG96tbW1nD0H\nmyUSi8UoLy8HIJ+CrZgdEolEcHd312rVwd7kpVIpCCGcqsdS+jz0QV35TTELoo9/mbpgyJQBkbrg\nU1Eef+PGDcTHx0MikWDmzJmYOnUqHBwcTLY+QLPKSlcDzz59+uDBgwfIyMiAq6sr93OpiSdFEzTg\nobw03t7ecHJygpWVFT744AMsXLgQzs7OqKysBCC/4bq4uHBfUywLmUyGiooKzqqD9S6TSCSora0F\nj8dTsuoQiUR48eIFbty4gdDQUISGhipNpbZENZUmtMmw9fk5rZk/ZMh+Km3mndXV1fjhhx9w+PBh\n+Pr6YtGiRQgLCzPb30KTykoXA8+wsDDY29vDwcGByz4pBkbUxJOiDhrwUF4adj7R48ePERERge3b\nt2P8+PFKAY6LiwsqKiqMtoZ58+bhxIkT6Nq1K3ehbKmPiLrb6wZ7E3306BFu376NpKQknDt3DnV1\ndRg6dChX/lGcPcT2Dzk6OgKAXtkQczZTs9kcQ6PJo0qXeTu6BIiK2RyGYTi/NMUBgfHx8cjMzMR7\n772H2bNnK5WfLYGffvoJx44dw4EDB6iBJ8VotL28M8XiYOdxdOnSBe+++y6uXbvGlbK6d++O4uJi\nzrjTWMydOxeLFy/GrFmzuG2a+oju3r2LpKQk3L17l7rba4FhGPD5fIhEIqSlpQEADh48iBEjRnCl\nnpqaGqVS2fXr1yGRSLgA19XVVUlZ5uXlBaFQqLO6zJDN1KrZHFM1U2vzqNImL9eksGMNblkbEbaU\nWFdXh+PHj2P//v1wdXVFTEwMduzYYbGfcUWVFUANPCnGgQY8lJfi+fPnkEqlcHR0RE1NDX799Vd8\n9tlnGD9+PPbu3YuVK1di7969eOedd4y6jtdffx0SiURpW3JyMjIyMgAAs2fPRnh4OOLi4qi7fSuZ\nN28e5s2bp7SNYRg4ODggMDAQgYGBSq+xN/KysjJu9tCff/6J5ORk5Ofno76+HlZWVnBzc2vWP9Sl\nSxcA0Onmry0gUpfNYS0SLAFd5eVsto2VlivyzTff4MqVK+jRowdKSkogFosxatQo7Ny5k+uFMQet\nUVlRA0+KsaABD+WlKC0txbvvvgtA/rQ5ffp0jBo1CiEhIZg8eTLi4+O5cpI51sZOwu7WrRtKS0sB\naJ7TQTEs7I28e/fu6N69O4YOHar0OjvALz8/n8sQnTlzBmKxGCUlJZDJZLC3t1dbLlO06tCkLgOa\nymnW1tZKQ/XaGqytCZuZsrW15TJTL168gEgkQlZWFqqrq+Hg4IC+ffvi0qVLOHDgAHg8HtLT09G/\nf3+Tr7s1Kitq4EkxFjTgobwUIpEIt27darbdxcUFZ86cMcOK1KOtFNIWb4JtHYaRO9v36tULvXr1\nUpqcC8hv8lVVVUpWHZcuXYJEIsGzZ8/AMAy6du2qJLXv1KkTMjMzYWNjg4kTJ4LH43Eu98+fP28z\nzdSAevNOdmgjIQSlpaVITExEamoq3nrrLWzevBleXl5K+0AIQUVFBddPZUmkpqZi8+bNyMjIgK2t\nLbedGnhSjAUNeCjtFk19RKZyt1fXSL1u3Trs3r2bK9ls2LABkZGRAGgjtSoMw6BTp07o379/s+wE\nWy4rLi5GTk4OkpOT8e233yI3NxdDhgyBvb09jh492syqQyQSwdXVValEZGleXar+XIqZKZlMhrS0\nNMTHx6Oqqgrz58/HmjVruIyIumNoLAfzNWvWIDk5mfsde/bs4axutJl31tXV4fHjx3BycuICXVZl\nlZGRoWTguWvXLk5ssHPnTiWVFZWUU/SBqrQo7QZVdceKFSvQuXNnrFy5EnFxcXj69KmSuaCx3e0v\nXLgABwcHzJo1i1vT+vXr4ejoiGXLlil9rzrDQ9pIrRtisRhTpkzBggULMGXKFDg6OoIQgvr6euTl\n5TWbPVRaWgpCCBwdHSESiZQCIk9PT3Ts2FGte7kx1WXa3NafPHmCgwcP4qeffsKgQYOwaNEi+Pv7\nmzUjVVVVxWWOtm/fjtu3b2P37t3UvJNisdAMD6VdMHXqVGRkZKC8vBzu7u74/PPPOWsG1T6iPn36\nYPLkyejTpw+sra2xc+dOo9w41DVSA4C6ZwzaSN16RCJRM9NchmFga2sLPz8/+Pn5NXsPIQRPnz5V\nsupIT0+HWCxGTU0NALn6UDU71LNnT07ubQh1mWo2R9GfSyaT4erVq9i9ezcKCgowe/ZsnDt3Dvb2\n9sY5kHqiWCarrq7mhv9R806KpUIDHkq7QJOlhqY+InO427Ns374d+/btQ0hICLZs2QKBQEAbqU0M\nwzBwdnZGSEgIQkJClF5jg5mioiIuILp69SqOHDmCgoICSKVS2NjYwMPDo1lAJBAItFp1KErKWV8r\nOzs78Pl8APLMSVJSEpKSktC7d28sXboUISEhFtVfxPLpp59i//79sLOzw7Vr1wBQ806K5UIDHgrF\nhMTExGDt2rUA5D0Qy5cvR3x8vNrvtcQb3KsA67nl7u4Od3d3hIeHK73OOttLJBJObp+cnAyxWIzH\njx8DAAQCAedmzyrLbGxscP78eQQEBHDlKIZhcP78ecyePRvu7u7o0KEDSktLMXToUCxZsgSBgYFm\ndSrXJiuPjY1FbGws4uLisHTpUiQmJpphlRSKbtCAh0IxIYoDGBcsWMDNIjFVIzUAFBQUYNasWSgr\nKwPDMHj//fexZMkSOplaR1hne39/f/j7+zd7nVVGPXjwAA8fPsTPP/+M9PR0PH78GMOGDcOpU6dg\nb28PT09PuLu7o6ysDMOGDUOXLl3g7+8PGxsbiMVi7NmzB2KxGOPGjcPmzZvNsKfaZeUs06ZNw9ix\nYwFQ806KBUMoFIrREIvFJCAggPu6qKiI+/9XX31Fpk6dSggh5M6dOyQoKIjU19eT3Nxc4u3tTWQy\nmVHWVFxcTDIzMwkhhFRVVZHXXnuN3L17l3z88cdk06ZNhBBC4uLiyMqVK5XW1tDQQMRiMfHx8SFS\nqdQoa2tvHDp0iISFhZGEhARSU1NDZDIZdxzPnj1Ldu3aRWbMmEFKSkrMvVS9yc7O5v6/bds2MmPG\nDEJIy5/lsLAwcuXKFSKTyUhkZCRJSUkxy9opryY04KFQjMSUKVNIjx49CJ/PJ0KhkMTHx5OZM2eS\nwMBA0q9fP/L2228r3ehiY2OJj48P8fPzI6mpqSZb59tvv01Onz5N/Pz8uPUUFxcTPz8/QgghGzZs\nIHFxcdz3jx49mly+fNlk62vLGCtoNQT//Oc/Sb9+/UhQUBAZMWIEyc/PJ4TIg3RbW1vSv39/0r9/\nfxITE8O958aNGyQgIID06tWL+Pj4kICAABIUFEQmTJhASktLue/T9Flm3+/j40MWL15sup2lUAgh\nVJZOobzCSCQSvPHGG/jzzz/h4eGh1uF+8eLFGDx4MKZPnw5AXoqLjIxEdHS0OZdOeUk0ycp1dSun\nsnJKW4MO+aBQXlGqq6sRHR2NrVu3NpvESydTt380yco1UVxcrFZWTqG0FWjAQ6G8grwFRtl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+ "text": [ + "<matplotlib.figure.Figure at 0x7fa95037e9d0>" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from IPython.display import HTML\n", + "def css_styling():\n", + " styles = open('styles/custom.css', 'r').read()\n", + " return HTML('<style>' + styles + '</style>')\n", + "css_styling()" + ], + "language": "python", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [ + { + "html": [ + "<style>/* Remove the vertical scrollbar added by nbconvert. */\n", + ".reveal {\n", + " overflow-y: hidden;\n", + "}\n", + "\n", + "/* Workaround some highlight.js bugs in language autodetection. */\n", + "code.objectivec *,\n", + "code.perl *,\n", + "code.cs *,\n", + "code.javascript *,\n", + "code.http * {\n", + " color: black ! important;\n", + " font-weight: normal ! important;\n", + "}\n", + "</style>" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 3, + "text": [ + "<IPython.core.display.HTML at 0x2ea3f50>" + ] + } + ], + "prompt_number": 3 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- GitLab