{ "metadata": { "name": "", "signature": "sha256:4c13cc509867bf8cd93d38ab801e7b4a5b7e704ec429626fb4ccaa2125d42853" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "plt.rcdefaults\n", "myfigsize = (12.0, 8.0)\n", "myfontsize = 14.\n", "plt.rcParams['figure.figsize'] = myfigsize" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "prompt_number": 85 }, { "cell_type": "code", "collapsed": false, "input": [ "#import datasets for figures:\n", "from astroML.datasets import fetch_rrlyrae_templates\n", "from astroML.plotting import setup_text_plots\n", "#setup_text_plots(fontsize=myfontsize, usetex=True)\n", "#plt.rc('text', usetex=False)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 86 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 10: Time Series Analysis" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "10.1 Main Concepts for Time Series Analysis" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Is My Time Series Just Noise?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Are my data consistent with the null hypothesis described by a model consisting of a constant signal plus measurement noise?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Frequentist Solution**: Use hypothesis testing! What is the probability that we would obtain our data by chance if the null hypothesis of no variability were correct?\n", "\n", "Compute $\\chi^2$ and the corresponding $p$ values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider a sin wave:\n", "\n", "$$y(t) = A\\sin(\\omega t)$$\n", "\n", "sampled by $N \\sim 100$ data points with homoscedastic errors with standard deviation $\\sigma$. \n", "\n", "The variance is:\n", "\n", "$$V = \\sigma^2 + A^2/2$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By a simple $\\chi^2_{dof}$ analysis, assuming **no model** the detectable amplitude decreases *very* slowly as a function of the number of observations. For example, for $N = 100$ data points if we want a 3 $\\sigma$ detection, the minimum detectable amplitude is $A = 0.92\\sigma$, and for $N = 1000$ data points it only improves to $A = 0.52 \\sigma$ (where $\\sigma = \\sqrt{2/N}$ assuming homoscedastic gaussian errors." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interact\n", "from IPython.html import widgets" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "def makeSine(a, sigma, numSamps):\n", " fig, ax = plt.subplots(1,1)\n", " x = np.linspace(0, 2 * np.pi, numSamps)\n", " y = a * np.sin(x)\n", " y += np.random.normal(scale=sigma, size=numSamps)\n", " ax.plot(x, y, 'o', color='#75BEBB')\n", " ax.errorbar(x, y, sigma, capsize=0, fmt='None', ecolor='#75BEBB')\n", " ax.set_xlim([-0.1, 2 * np.pi + 0.1])\n", " ax.set_xlabel(r'$\\omega t$')\n", " ax.set_ylabel(r'$\\sin{(\\omega t)} + \\sigma$')\n", " ax.text(0.1, 0.15, 'N: {}'.format(numSamps), transform=ax.transAxes)\n", " chinusq = 1/(numSamps * sigma**2) * np.sum(y**2)\n", " ax.text(0.1, 0.1, r'$\\mathbf{\\chi_{\\nu}^{2}}$'+': {:.2f}'.format(chinusq), transform=ax.transAxes)\n", " sig = np.sqrt(2. / numSamps)\n", " ax.text(0.1, 0.05, '{:.2f}'.format((chinusq - 1.)/sig) + r' $\\mathbf{\\sigma}$', transform=ax.transAxes)\n", " ax.grid(which='major')\n", "\n", "sigma = 0.75\n", "a = 0.69\n", "numSamps = 1e2\n", "#slider_ax = plt.axes([0.1, 0.1, 0.8, 0.02])\n", "#slider = Slider(slider_ax, \"Offset\", -5, 5, valinit=0, color='#AAAAAA')\n", "#slider.on_changed(makeSine(a, sigma, numSamps))\n", "interact(makeSine, \n", " a=widgets.FloatSliderWidget(min=0.,max=1.,step=0.05,value=a),\n", " sigma=widgets.FloatSliderWidget(min=0.,max=1.,step=0.05,value=sigma),\n", " numSamps=widgets.IntSliderWidget(min=0,max=1000,step=10,value=numSamps))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": 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GDYIgCJ68NMe/B0nkeN26dWhoaAAAzJkzBy0tLSXNCluB2PL34eERDHpn5fp53c/sQ9tN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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, we'll see that our ability to discern a signal greatly improves if we specify a model. " ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "10.2 Modeling Toolkit for Time Series Analysis" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.2.1. Parameter Estimation, Model Selection, and Classification for Time Series Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Detection of a signal is essentially a hypothesis testing or model selection problem. \n", "\n", "The quantitative *description* of a signal belongs to parameter estimation and regression problems. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In general, time series model fitting of $N$ observations $(t_j, y_j), j = 1, ..., N$ is of the form:\n", "\n", "$$y_j(t_j) = \\sum_{m=1}^{N}\\beta_m T_m(t_j | \\mathbf{\\theta}_m) + \\epsilon_j$$\n", "\n", "where $T_m(t|\\mathbf{\\theta}_m)$ need not be periodic.\n", "\n", "Common models include, sinusoidal, exponential, and \"chirp\" signals:\n", "\n", "$$T(t) = \\sin{(\\omega t)}$$\n", "$$T(t) = \\exp{(-\\alpha t)}$$\n", "$$T(t) = \\sin{(\\phi + \\omega t + \\alpha t^{2})}$$" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.2.2. Fourier Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In Fourier analysis, general functions can be expressed by integrals or sums of simpler trigonometric functions. Below is an example of an RR Lyra light curve and its approximation by a sum of sinusoids." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1001()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SkpJwc3PT2nhXr14lLCxMVsCE0amsrGTbtm0UFBQwbdq0225AraiooGXLllhY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\n", "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "So what's going on?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Fourier Transform *can* be defined as\n", "$$ H(f) = \\int_{-\\infty}^{\\infty} h(t) \\exp{(-i 2 \\pi f t)} dt$$\n", "\n", "With its inverse being\n", "$$h(t) = \\int_{-\\infty}^{\\infty} H(f) \\exp{(i 2 \\pi f t)} df $$\n", "\n", "and Euler's identity can be helpful:\n", "\n", "$$e^{-i \\omega t} = \\cos{\\omega t} - i \\sin{\\omega t}$$" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.2.3 Discrete Fourier Transform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But in practice, the function of interest is most likely thrown at a computer, which performs discrete fourier analysis using a fast fourier transform (fft). This is defined as\n", "\n", "$$y[k] = \\sum_{n=0}^{N-1} \\exp{(-2 \\pi j \\frac{kn}{N})}x[n]$$\n", "\n", "and the inverse transform is defined as\n", "\n", "$$x[n] = \\frac{1}{N}\\sum_{n=0}^{N-1} \\exp{(2 \\pi j \\frac{kn}{N})} y[k]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Scipy has a library called `fftpack` that contains several convenient methods, including one for taking the fast fourier transform (`fft`), and one for taking its inverse (`ifft`)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy import fftpack" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To recreate the figure above and test out `fftpack`, lets first import some RR Lyrae templates using the `astroML` method `fetch_rrlyrae_templates()`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "templates = fetch_rrlyrae_templates()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "type(templates)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "dict" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "templates.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "['109u',\n", " '109r',\n", " '115z',\n", " '109z',\n", " '115r',\n", " '109g',\n", " '115i',\n", " '115g',\n", " '109i',\n", " '106z',\n", " '106r',\n", " '106u',\n", " '106i',\n", " '106g',\n", " '114r',\n", " '114z',\n", " '114g',\n", " '114i',\n", " '107z',\n", " '107u',\n", " '107r',\n", " '107i',\n", " '107g',\n", " '113z',\n", " '113r',\n", " '108u',\n", " '113i',\n", " '113g',\n", " '100i',\n", " '100g',\n", " '100z',\n", " '100u',\n", " '100r',\n", " '112z',\n", " '108r',\n", " '112r',\n", " '108z',\n", " '108g',\n", " '112i',\n", " '108i',\n", " '112g',\n", " '0r',\n", " '101i',\n", " '0u',\n", " '0z',\n", " '101g',\n", " '0g',\n", " '101z',\n", " '101u',\n", " '0i',\n", " '101r',\n", " '102z',\n", " '102u',\n", " '110g',\n", " '1r',\n", " '102r',\n", " '118r',\n", " '110i',\n", " '102g',\n", " '110u',\n", " '110r',\n", " '1g',\n", " '118i',\n", " '1i',\n", " '118g',\n", " '102i',\n", " '103i',\n", " '110z',\n", " '103g',\n", " '103z',\n", " '103r',\n", " '103u',\n", " '117r',\n", " '117z',\n", " '117g',\n", " '117i',\n", " '104r',\n", " '104u',\n", " '104z',\n", " '104g',\n", " '104i',\n", " '116r',\n", " '116z',\n", " '116g',\n", " '120g',\n", " '116i',\n", " '105r',\n", " '105u',\n", " '111g',\n", " '111i',\n", " '105z',\n", " '119r',\n", " '119i',\n", " '111r',\n", " '105g',\n", " '105i',\n", " '111z',\n", " '119g']" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "x, y = templates['115r'].T\n", "x109u, y109u = templates['109u'].T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(x, y, 'o')\n", "plt.plot(x109u, y109u, 'o')\n", "plt.ylim([1,0])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": [ "(1, 0)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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fyl6NvGUa1vYDz+NMhIhGn6an53lNhBARERFZwM3jzxwqgNNcdsVlqRdTpKIQl4bhkt/H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\nHwgnbJILFYXY8PQGnm1/luvmXceaFWvytj44lZECYyuI2kt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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now lets take the fast fourier transform of one of those templates" ] }, { "cell_type": "code", "collapsed": false, "input": [ "help(fftpack.fft)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function fft in module scipy.fftpack.basic:\n", "\n", "fft(x, n=None, axis=-1, overwrite_x=False)\n", " Return discrete Fourier transform of real or complex sequence.\n", " \n", " The returned complex array contains ``y(0), y(1),..., y(n-1)`` where\n", " \n", " ``y(j) = (x * exp(-2*pi*sqrt(-1)*j*np.arange(n)/n)).sum()``.\n", " \n", " Parameters\n", " ----------\n", " x : array_like\n", " Array to Fourier transform.\n", " n : int, optional\n", " Length of the Fourier transform. If ``n < x.shape[axis]``, `x` is\n", " truncated. If ``n > x.shape[axis]``, `x` is zero-padded. The\n", " default results in ``n = x.shape[axis]``.\n", " axis : int, optional\n", " Axis along which the fft's are computed; the default is over the\n", " last axis (i.e., ``axis=-1``).\n", " overwrite_x : bool, optional\n", " If True, the contents of `x` can be destroyed; the default is False.\n", " \n", " Returns\n", " -------\n", " z : complex ndarray\n", " with the elements::\n", " \n", " [y(0),y(1),..,y(n/2),y(1-n/2),...,y(-1)] if n is even\n", " [y(0),y(1),..,y((n-1)/2),y(-(n-1)/2),...,y(-1)] if n is odd\n", " \n", " where::\n", " \n", " y(j) = sum[k=0..n-1] x[k] * exp(-sqrt(-1)*j*k* 2*pi/n), j = 0..n-1\n", " \n", " Note that ``y(-j) = y(n-j).conjugate()``.\n", " \n", " See Also\n", " --------\n", " ifft : Inverse FFT\n", " rfft : FFT of a real sequence\n", " \n", " Notes\n", " -----\n", " The packing of the result is \"standard\": If ``A = fft(a, n)``, then\n", " ``A[0]`` contains the zero-frequency term, ``A[1:n/2]`` contains the\n", " positive-frequency terms, and ``A[n/2:]`` contains the negative-frequency\n", " terms, in order of decreasingly negative frequency. So for an 8-point\n", " transform, the frequencies of the result are [0, 1, 2, 3, -4, -3, -2, -1].\n", " To rearrange the fft output so that the zero-frequency component is\n", " centered, like [-4, -3, -2, -1, 0, 1, 2, 3], use `fftshift`.\n", " \n", " For `n` even, ``A[n/2]`` contains the sum of the positive and\n", " negative-frequency terms. For `n` even and `x` real, ``A[n/2]`` will\n", " always be real.\n", " \n", " This function is most efficient when `n` is a power of two, and least\n", " efficient when `n` is prime.\n", " \n", " If the data type of `x` is real, a \"real FFT\" algorithm is automatically\n", " used, which roughly halves the computation time. To increase efficiency\n", " a little further, use `rfft`, which does the same calculation, but only\n", " outputs half of the symmetrical spectrum. If the data is both real and\n", " symmetrical, the `dct` can again double the efficiency, by generating\n", " half of the spectrum from half of the signal.\n", " \n", " Examples\n", " --------\n", " >>> from scipy.fftpack import fft, ifft\n", " >>> x = np.arange(5)\n", " >>> np.allclose(fft(ifft(x)), x, atol=1e-15) # within numerical accuracy.\n", " True\n", "\n" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "y_fft = fftpack.fft(y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "print(y.shape)\n", "print(type(y_fft))\n", "print(y_fft.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(500,)\n", "\n", "(500,)\n" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(y_fft.real, 'o-')\n", "#plt.yscale('log')\n", "plt.xlim([-5, 501])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "(-5, 501)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6kF7/C1OS55I8k+4XpPiF6bzTXRPbMvog+JNxTZz3xt/H8KcZfS7KpMp5qqq2\nJXk0o2W+n8ho6e/E18OgAjmnB5EA4prW2n3j+9uS/PiiYza2XUkOtNaeGu+MMx+/MJ3vrh7/+UyS\nX87oP3auifPYeGLtmiSPZ/SZKNfD+aslua619nJy6henia+HoX3VtL2TOU1Vbe0O26JjNrDW2sOt\ntX+qqquSHIq91s974x2UDme0veh9cU2Q/HxGM4aJ64FkV1XtHv93Y0XXw9ACeXEQcf5ZauvA5PSt\nA5Mltg5kw9qV5MOJX5hIWmtHkny8qh7LG68B18R5pKquzOj/JvSPuR7OU621I+OJlYeTfDwr/PfD\n0AJZAHFdkiur6r9ltKbspvF2gvckeXjRMRtcVd2U5A8z+veCX5jOc1V1b1VdMY7kK+KaON9ty2jZ\nzTUZLblxPZzHxjPHl40PF//zX/b1MKht3sZ/YfZOBk7G8b0Z/S/1Z8f37bV+HhvPGP7njD64+ez4\n5po4j4274bGMPpz1WFwP563xtztvG98OZIXfzzGoQAYAgGkb2hILAACYKoEMAAAdgQwAAB2BDAAA\nHYEMAAAdgQwAAB2BDAAAnf8PfnhBY3CtNAoAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is this telling us? Lets take a look at the help file to see what `fftpack.fft` returned:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(fftpack.fftshift(np.abs(y_fft)), '-o')\n", "#plt.yscale('log')\n", "plt.xlim([-5, 501])\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 35, "text": [ "(-5, 501)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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+BwBn+qd/St797uRP/zTZsyf5679e7REB9K+UklprWf6d5zATXGvdn+ESiKEjSZ4cOX5w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\nwU8k+ekkv5vkX5O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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now what if we take just the first few modes of the Fourier transform and try recreating the original signal:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#set the number of modes you'd like to see\n", "k = 6\n", "#now zero out the rest:\n", "y_fft[k + 1:-k] = 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "y_fit = fftpack.ifft(y_fft).real" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(np.concatenate([x, 1+x]), np.concatenate([y, y]), '--', label='Template (Data)')\n", "plt.plot(np.concatenate([x, 1+x]), np.concatenate([y_fit, y_fit]), label='Model')\n", "plt.legend(loc='best')\n", "plt.xlabel('Phase')\n", "plt.ylabel('Amplitude')\n", "plt.ylim([1.1, -0.1])\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "(1.1, -0.1)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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nwBfMUN4peWf1O3TpAn37wt69phOJSKDxVpfEXSzL4urTruad395h2DCYP798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\ntAVeBcZe+7lJkyb9+3OLFi1o0aJFdsQTuW2++X2Z3nE6Ty5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"text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "A good opportunity to play more with the interactive features of IPython Notebooks" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fftApprox(nmodes):\n", " #zero out other modes:\n", " y_fftnew = fftpack.fft(y)\n", " y_fftnew[nmodes + 1:-nmodes] = 0\n", " y_fit = np.abs(fftpack.ifft(y_fftnew))\n", " \n", " #now plot it up. \n", " fig = plt.figure()\n", " axTop = fig.add_axes([0.05, 0.3, .92, 0.67])\n", " axTop.plot(np.concatenate([x, 1+x]), np.concatenate([y, y]), '--', label='Template (Data)')\n", " axTop.plot(np.concatenate([x, 1+x]), np.concatenate([y_fit, y_fit]), label='Model')\n", " axTop.legend(loc='best')\n", " axTop.set_ylabel('Amplitude')\n", " axTop.set_ylim([1.1, -0.1])\n", " axTop.set_xlim([0, 2])\n", " \n", " axBot = fig.add_axes([0.05, 0.05, 0.92, 0.25])\n", " axBot.plot(np.concatenate([x, 1+x]), np.concatenate([y - y_fit, y - y_fit]))\n", " axBot.set_xlim([0, 2])\n", " axBot.set_ylabel('Temp - Mod')\n", " axBot.set_xlabel('Phase')\n", " axBot.text(0.025, 0.05, '$\\sigma$: '+'{:.4f}'.format(np.std(y - y_fit)), transform=axBot.transAxes)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(fftApprox,\n", " nmodes=widgets.IntSliderWidget(min=1,max=50,step=1,value=6))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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kRyEiUp0cG/kn61i6VGrpu0FoUq06Pj/4uewoRESqEpceh2pu1WTHUBVHW0f0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rI4Xfv2GUOcZECffz66doFNSMKcLma60tSdxmW6KiETSbNOV9T4lkYmkkdm4ma62AnT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\nVxZ1BFAerLPH9DC70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sQZUDpdYcYzaVyMMqD/9//KGHbyycHXbQPa22vGh7Bzu+ceeb6j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\nGTPEbhx/vLEZjzwixxVX8wrEZ7rS2I2wmq4jR2Rek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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "What are some common Fourier transforms?" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Gaussian" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are some special properties of the Fourier Transform that are worth mentioning. One is that if $h(t)$ is real and even (i.e. $h(t) = h(-t)$), $H(f)$ will be real and even as well. One example of this is the Gaussian:\n", "\n", "$$h(t) = \\mathcal{N}(0, \\mu) = \\exp{(-t^{2}/\\sigma^{2})}$$\n", "$$H(f) = \\exp{(-2 \\pi^{2} \\sigma^{2} f^{2} )}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mu = 0.\n", "sigma=1.\n", "def gaussy(mu, sigma, xarr):\n", " return np.exp(-(xarr - mu)**2/(2 * sigma**2))\n", "\n", "def plotGaussianTransform(mu, sigma):\n", " xarr = np.linspace(-40, 40, 1e3)\n", " gy = gaussy(mu, sigma, xarr)\n", " ngy = gy / np.max(gy)\n", " plt.plot(xarr, ngy, '-', label=r'h(t)')\n", " ffty = fftpack.fftshift(np.abs(fftpack.fft(gaussy(mu, sigma, xarr))))\n", " nffty = ffty/np.max(ffty)\n", " plt.plot(xarr, nffty, '-', label='H(f)')\n", " plt.legend(loc='best')\n", "\n", "interact(plotGaussianTransform,\n", " mu = widgets.FloatSliderWidget(min=-2,max=45.,step=.25,value=mu),\n", " sigma = widgets.FloatSliderWidget(min=1e-3,max=10.,step=.001,value=sigma))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ARnVr2c10HAAOd/FF1aeffrrKn3ul8jtF0iOWZeVLesayrPaSxpZ7PFHSs9UN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\ntS9Ljw14zHQUhBDlF2W6teymUV1G6Zm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"text": [ "" ] } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "help(fftpack.fftfreq)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function fftfreq in module numpy.fft.helper:\n", "\n", "fftfreq(n, d=1.0)\n", " Return the Discrete Fourier Transform sample frequencies.\n", " \n", " The returned float array `f` contains the frequency bin centers in cycles\n", " per unit of the sample spacing (with zero at the start). For instance, if\n", " the sample spacing is in seconds, then the frequency unit is cycles/second.\n", " \n", " Given a window length `n` and a sample spacing `d`::\n", " \n", " f = [0, 1, ..., n/2-1, -n/2, ..., -1] / (d*n) if n is even\n", " f = [0, 1, ..., (n-1)/2, -(n-1)/2, ..., -1] / (d*n) if n is odd\n", " \n", " Parameters\n", " ----------\n", " n : int\n", " Window length.\n", " d : scalar, optional\n", " Sample spacing (inverse of the sampling rate). Defaults to 1.\n", " \n", " Returns\n", " -------\n", " f : ndarray\n", " Array of length `n` containing the sample frequencies.\n", " \n", " Examples\n", " --------\n", " >>> signal = np.array([-2, 8, 6, 4, 1, 0, 3, 5], dtype=float)\n", " >>> fourier = np.fft.fft(signal)\n", " >>> n = signal.size\n", " >>> timestep = 0.1\n", " >>> freq = np.fft.fftfreq(n, d=timestep)\n", " >>> freq\n", " array([ 0. , 1.25, 2.5 , 3.75, -5. , -3.75, -2.5 , -1.25])\n", "\n" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Parseval's Theorem**\n", "\n", "The power spectrum, or power spectral density (PSD), is a quantity of great interest in time series analysis. It is defined over the range $0 \\le f < \\infty$ as\n", "\n", "$$PSD(f) \\equiv |H(f)|^{2} + |H(-f)|^{2}$$\n", "\n", "The power at a given frequency is a quantitative statement about the importance of each frequency mode.\n", "\n", "Parseval's Theorem tells us that the total power is the same whether compute in the frequency or time domain:\n", "\n", "$$P_{tot} \\equiv \\int_{0}^{\\infty} PSD(f) df = \\int_{-\\infty}^{\\infty} |h(t)|^{2} dt$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fourierPlots(func):\n", " transform = fftpack.fftshift(np.abs(fftpack.fft(func)))**2\n", " N = len(transform)\n", " freqs = fftpack.fftshift(fftpack.fftfreq(len(func), 1.))\n", " fig = plt.figure()\n", " funcax = fig.add_axes([0.05, 0.05, .5, 0.5])\n", " funcax.plot(func, '-')\n", " funcax.set_xlabel('T [s]')\n", " funcax.set_ylabel('Amplitude')\n", " tranax = fig.add_axes([0.65, 0.05, .5, 0.5])\n", " tranax.plot(freqs[N/2:], transform[N/2:]+transform[0:N/2][::-1], '-')\n", " #tranax.plot(freqs, fftpack.fftshift(fftpack.fft(func).real), 'r-')\n", " #tranax.plot(freqs, fftpack.fftshift(fftpack.fft(func).imag), 'g-')\n", " tranax.set_xlabel('$f$ [Hz]')\n", " tranax.set_ylabel('$PSD(f)$')\n", " #tranax.set_ylim([-1.5, 1.5])\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, the Fourier Transform and inverse are:\n", "$$ H(f) = \\int_{-\\infty}^{\\infty} h(t) \\exp{(-i 2 \\pi f t)} dt$$\n", "$$h(t) = \\int_{-\\infty}^{\\infty} H(f) \\exp{(i 2 \\pi f t)} df $$" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Delta Function" ] }, { "cell_type": "code", "collapsed": false, "input": [ "deltaFunc = np.zeros(500)\n", "deltaFunc[249] = 1\n", "fourierPlots(deltaFunc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Constant" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fourierPlots(np.zeros(500) + 10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Periodic Pulses" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pulsesFunc = np.zeros(500)\n", "pulsesFunc[0::50] = 1\n", "fourierPlots(pulsesFunc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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h1KJcHDZsCxwmrULo/BKHhJLl7TWAvvwoKT9ZI1LqGM1PhGOspNynRjQ/Swi1KGdqwli0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\n62fJuWGVJk01v4fsx2KuTdVZWqNnP5FSVPmx8+M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"text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "pulsesFunc = np.zeros(500)\n", "pulsesFunc[0::10] = 1\n", "fourierPlots(pulsesFunc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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//8m7RfnU3MC8KN9+yuq+N92Db741OWw16NQ0VnTmtalprK3p1DRWdOa1qXFj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\n+R3TJkfsazqeXPeUs752j+MQa5yPrR0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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Sine Wave" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fourierPlots(np.sin(np.linspace(0, 100*np.pi, 5e2)))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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exEki59uCfSioRwghxMfu7q7sNlbzXI1gR52OsUUcKqRbHfaIx63l/FbBMNU4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"text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "fourierPlots(np.sin(np.linspace(0, 1250*np.pi, 5e2)))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Ob33renrmn/pT6/Jyrqewt65h99Qej+h4pJwForUAvZdMeiSIrWH/+q9ft+lj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\n6wkeLTJcK6vV37qDOSNSljLJSLO0sS5jyp68T9EgvCUpsvLPOBG0iI6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O//goGicxDIeV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\nveQSt0V2rL3swEp8WD5XOx7wK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"text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "The Nyquist Sampling Theorem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that Fourier transform and its inverse extend to infinity\n", "\n", "$$ H(f) = \\int_{-\\infty}^{\\infty} h(t) \\exp{(-i 2 \\pi f t)} dt$$\n", "$$h(t) = \\int_{-\\infty}^{\\infty} H(f) \\exp{(i 2 \\pi f t)} dt $$\n", "\n", "However, the Discrete Fourier Transform and its inverse only extend \n", "through the range of our data set\n", "\n", "$$H_{k} = \\sum_{j=0}^{N-1} h_j \\exp{[-i 2 \\pi jk/N]}$$\n", "$$h_j = \\frac{1}{N} \\sum_{k=0}^{N-1}H_k \\exp{[i 2 \\pi jk/N]}$$\n", "\n", "or in SciPy notation:\n", "$$y[k] = \\sum_{n=0}^{N-1} \\exp{(-2 \\pi j \\frac{kn}{N})}x[n]$$\n", "$$x[n] = \\frac{1}{N}\\sum_{n=0}^{N-1} \\exp{(2 \\pi j \\frac{kn}{N})} y[k]$$\n", "\n", "Can we still estimate the PSD even though we're only using the Discrete Fourier Transform?\n", "\n", "Let us define h(t) to be *band limited* if H(f) = 0 for $|f| > f_c$, where $f_c$ is the band limit, or Nyquist critical frequency. For h(t) there is a resolution limit in $t$ space of $t_c = 1/(2 f_c)$ below which $h(t)$ appears smooth.\n", "\n", "The Nyquist sampling theorem tells us that we can exactly reconstruct h(t) from evenly sampled data when $\\Delta t \\le t_c$ as\n", "\n", "$$h(t) = \\frac{\\Delta t}{t_c} \\sum_{k=-\\infty}^{k=\\infty} h_k \\frac{\\sin{[2 \\pi f_c (t - k \\Delta t)]}}{2 \\pi f_c (t - k \\Delta t)}$$\n", "\n", "where $\\Delta t$ is the time sampling resolution.\n", "\n", "Let's look at an example with the function\n", "$$h(t) = \\sin{(2 \\pi t/P)}$$\n", "\n", "This function is band limited with a critical frequency of $f_c = 1/P$. The critical sampling rate is therefore $t_c = 1/(2 f_c) = P/2$. As long as we sample with time steps smaller than $P/2$ the Nyquist sampling theorem tells us we can fully reconstruct $h(t)$.\n", "\n", "However, if $h(t)$ is not band-limited, or if the sampling rate is not sufficient, **aliasing** will occur, which prevents us from exactly reconstructing $h(t)$. Aliasing falsely transfers frequencies $|f| > f_c$ into the $-f_c < f < f_c$ range." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So the discrete Fourier transform is a good estimate of the true Fourier transform as long as we're dealing with a band limited function and $\\Delta t < t_c$. The PSD in this case can be written as\n", "\n", "$$PSD(f_k) = 2 \\left(\\frac{T}{N} \\right)^2 \\left[\\left(\\sum_{j=0}^{N-1} h_j \\cos{(2 \\pi f_k t_j)} \\right)^2 + \\left(\\sum_{j=0}^{N-1} h_j \\sin{(2 \\pi f_k t_j)} \\right)^2\\right]$$\n", "\n", "and this is true only for noiseless evenly sampled data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.axvspan(0, 5, ymax=0.5, color='#75BEBB', alpha=0.75)\n", "plt.axvline(10, color='#EB6649', lw=2)\n", "plt.xlim([0, 20])\n", "plt.ylim([0, 2])\n", "plt.xlabel('Frequency')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 84, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 84 }, { "cell_type": "code", "collapsed": false, "input": [ "tfull = np.linspace(0, 2 * np.pi, 1e3)\n", "tlow = np.linspace(0, 2 * np.pi, 1e1)\n", "omega_hi = 10.\n", "omega_low = 1.\n", "#1. show the high sampling high frequency curve\n", "plt.plot(tfull, np.sin(omega_hi*tfull), lw=2, color='#C7B077')\n", "\n", "#3. show the high sampling low frequency cuve\n", "plt.plot(tfull, np.sin(omega_low*tfull), lw=4, color='#46959E')\n", "\n", "#2. show the low sampling high frequency curve\n", "plt.plot(tlow, np.sin(omega_hi*tlow), 'o', color='#BA4C37')\n", "\n", "plt.xlim([0, 2 * np.pi])\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 92, "text": [ "(0, 6.283185307179586)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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DNwsfFtNfjnN06VVXY1zNO+juOIqnEhfjpUMn7c/eaW3Hd57YgH+85nKmJ/2x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\nOyWeETtNaplFc6lJzUb9osTiyBo/rHmmHAGPm0/++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"text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "code", "collapsed": false, "input": [ "period = 10.\n", "tcrit = period / 2.\n", "\n", "tfull = np.linspace(0, 10, 1e3)\n", "#1. show the high sampling high frequency curve\n", "plt.plot(tfull, np.sin(2 * np.pi *tfull / period), lw=2, color='#C7B077')\n", "\n", "tlow = np.linspace(0, 10, tcrit)\n", "plt.plot(tlow, np.sin(2 * np.pi *tlow / period), 'o', color='#BA4C37')\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 82, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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aHzojGdfaSRGATFWz61EZ49LE4BktzY/ZzgEA7KCMH8XBqy9ITkJldYcUyCmx\nnQPAokBOscoaDktyNHT117ZzAAA7KKNH8dL8uCaGzsoYl2raH7GdAyAJ1LQ/LONyazJ4TuHZYds5\nAIAdktGjONjxgiRHZfV3c0oMQJLkzypUReN9ksRpMQBkkIwdxUvzY5oYel/GuFTd/rDtHABJpLrt\nhIzLo+nhi5wWA0CGyNhRvPrpckdl9fcokF1sOwdAEvEF8tdPi4PciQIAMkJGjuLFuVFNBs/JGDfX\nEgO4oeq24zIuj6aGL3BaDAAZICNH8bVT4vKGw/JnF9rOAZCEVk+L75XEaTEAZIKMG8WLcyOaCp2X\ncbm5lhjATVW3nlg/LV6cG7GdAwDYRhk3ij84Jb5X/qwC2zkAkpgv64PTYp5yBwDpLaNGcXg2tHZK\n7FFN2wnbOQBSwPppceg8p8UAkMYyahRfO+mpaLxXPk6JAdwCX1a+Kho4LQaAdJcxozg8G9L08EUZ\nl0fVnBIDuA3rd6LgtBgA0lbGjOKhK6tPpqpovE++QL7lGgCpxJdVwGkxAKS5jBjF4dlhTY9cWjsl\nPm47B0AKWj0tdnNaDABpKiNGcbDjpKS1a4k5JQawAb6sApWvnxaftFwDANhqaT+KF+dGNRW6sHpf\n4lZOiQFsXE3bCU6LASBNpf0oXj0ldlRef5g7TgDYlA9Oix1OiwEgzaT1KF6aH9Nk8JyMcXPHCQBb\novpDp8WjtnMAAFskrUdxsONFSY7K6u+WP7vQdg6ANOC/7rQ42MGdKAAgXaTtKF5emNBE8H3JuDgl\nBrClrp0WTwY5LQaAdJG2ozjYeUpyEiqrO6RATrHtHABpxJ9VoPL6w+K0GADSR1qO4uXwlCYG35Nk\nVNP2sO0cAGmouv2D0+Kl+THbOQCATUrLURzqPCXHSai09qACuaW2cwCkIX9Wocrq79HqafGLtnMA\nAJuUdqM4sjij8YF3JRnVtD9iOwdAGqtuOy4ZlyaC72s5PGk7BwCwCWk3ikNdL8lx4iqpuUNZeWW2\ncwCksUB2scpqD0lOQqHOU7ZzAACbkFajeGVpVmP9b0sSp8QAdkR1+8OSjMYH3lNkccZ2DgBgg9Jq\nFIe6XpaTiKu4+oCy8yts5wDIAFm5pSqpvVOOE1eo6yXbOQCADUqbUbyyPK/RvrckSTXt3HECwM65\ndpebsf7TWlmes1wDANiItBnFw10vy0nEVFS5VzkF1bZzAGSQ7PwKFVftl5OIKdT1su0cAMAGpMUo\njkYWNNpkxKWgAAAgAElEQVT3piSpdtejlmsAZKKaXaufYxjre0vRyILlGgDA7UqLUTzc/aoS8agK\nK3Yrp7DGdg6ADJRTUK3Cit1KxKMa7n7Vdg4A4Dal/CiOroQ10vO6JE6JAdh17fegkZ7XFVtZtFwD\nALgdKT+KR7pfUyK+ooLyduUW1dnOAZDBcovqVFDWpkR8RcM9r9nOAQDchpQexbHokkbW/sHDKTGA\nZHDt2uKRntcUiy5brgEA3KqUHsUjPa8rHosov7RVecUNtnMAQPklTcoraVI8uqzR3jds5wAAblHK\njuJ4LKKR7tVT4ppd3JcYQPKoXXui5nD3K4rHVizXAABuRcqO4tG+txSLLiq3uEH5Jc22cwBgXX5Z\nq3KL6hVbWVy/XSQAILml5ChOxKMa7npF0urT64wxlosA4APGmPVri4e7XlEiHrVcBAD4JCk5iscG\n3lU0Mq/sgmoVlu+ynQMAv6GwfJdyCmoUjcxrrP+07RwAwCdIuVGcSMQV6jwliVNiAMnLGKOa9tXP\nO4Q6X1IiHrNcBAC4mZQbxZNDZ7WyNKNAbpmKq/bZzgGAj1VUtVdZeRVaWZ7V+OB7tnMAADeRUqPY\ncRIKXjslbjshY1IqH0CGMcalmrU7UYQ6TymRiFsuAgB8nJRalVOhC1peGJc/u0gltQdt5wDAJyqp\nOaBAbpkii1OaHDprOwcA8DFSZhQ7jqNgx4uSpKrW43K53JaLAOCTGeNSTdsJSVKw40U5TsJuEADg\nhlJmFM+MXtXi3LC8/jyV199tOwcAbllJ7UH5s4u1HJ7QZPC87RwAwA2kxChePSU+KUmqaj0ml9tr\nuQgAbp3L5VZ123FJUqjzRTmOY7kIAPBRKTGK5yZ6tDA9II83WxWN99nOAYDbVlZ3t7yBfC3OjWhm\n9LLtHADAR6TEKL52LXFly1G5PX7LNQBw+1xuj6pbj0m6dm0xp8UAkEySfhTPTw1obqJLbo9flU1H\nbOcAwIaVN9wnjy9HC9ODmpvotp0DALhO0o/iUOfqKXFF0xF5fNmWawBg49wen6qaj0qSgh2n7MYA\nAD4kqUdxeHZY0yOX5XJ7VdXyoO0cANi0iuYjcnv8mpvo0vzUgO0cAMCapB7F106JyxsOy+vPtVwD\nAJvn8WapYu1SsGu/xwEA7EvaUby0MK7J4HkZ41ZV63HbOQCwZapaHpTL7dX0yGWFZ4dt5wAAlMSj\nONR5SpKjsvq75M8qsJ0DAFvG689VecNhSdd+rwMA2JaUoziyOK2JwTOSjKo5JQaQhqpaH5Ixbk0G\nz2lpYcJ2DgBkvKQcxaGul+U4CZXU3qlAbqntHADYcv6sQpXWHZLkcFoMAEkg6UbxyvK8xvpPS5Jq\n2k7YjQGAbVTddkKS0cTgGUWWZmznAEBGS7pRPNz9ipxETEWVe5WdX2k7BwC2TVZuqUpq7pDjxDXc\n9bLtHADIaEk1imMrixrtfVOSVNP+iOUaANh+1Wt/IjbWf1rRyILdGADIYEk1iod7XlMivqKCsjbl\nFtXazgGAbZdTUKWiyj1KxKMa7n7Vdg4AZKykGcXxaEQjPa9LkmraH7ZcAwA7p7pt9fe80d43FIsu\nWa4BgMyUNKN4tO9NxaNLyituVH5ps+0cANgxecX1yi9tVTz2weEAAGBnJcUoXv1jw1ckcUoMIDPV\ntJ+QJI30vKZ4bMVuDABkoKQYxWP97ygaWVBOQY0Kyttt5wDAjssvbVFuUb1iK4sa63/Ldg4AZBzr\noziRiCvU9ZKk1VNiY4zlIgDYecaY9dPiUNcrSsRjdoMAIMNYH8UTg2e0sjSjrNxyFVXttZ0DANYU\nVuxRdn6lostzGh9813YOAGQUq6PYcRLrjzetbj8hY6xvdACwxhizfieKUOdLchJxy0UAkDmsrtDJ\n0Hkthyfkzy5Wac2dNlMAICmU1BxQIKdUkcUpTQbP2c4BgIxhbRQ7jqNQx4uSpOq24zIut60UAEga\nxrhU3XZckhTsfFGOk7BcBACZwdoonhm9rMW5EXkD+Sqru9tWBgAkndK6Q/JlFWhpfkzTw5ds5wBA\nRrA2ioPXTolbj8nl9tjKAICk43J5VN36kCQp2HlKjuNYLgKA9GdtFC9MD8rjy1F5w322EgAgaZXV\nH5bHl6PwzJBmxztt5wBA2rP6Qbuq5qNye3w2EwAgKbk9PlW1HJP0wZ+sAQC2z4ZHsTGm0BjzLWPM\nl40xhz7p9Y/66//xC13qmt/otweAtFfRdL/Ongvqv//v/4/+8guP67/+7pd08rlnbWcBQNI7+dyz\n+q+/+6Xbes9mToqfkvQ3juP8SNI3b+H1D/laTrZ+8N+/zW/wAPAxXn7hRb3x87P6o9xcfdGZ1xcW\nQ/r+t5/m900AuImTzz2r73/7aX1hMXRb79vMKD7sOM7c2o+bb+H13/B7BUY/+YfvbCIBANLXj//+\n7/S1spwPvcbvmwBwcz/++7/T7xWY237fpm77YIzJv24Af+Lr1/unq0OSpA73lE6dOqUTJ05sJgUA\n0o6JRW/8E9GVnQ0BgBRx6tQpvX3ugmbii7f93s2M4tOSSiTNSZq5hdc/5Ou7aiVJz+TUMIgB4AYc\nj1e60f718gFlALiREydO6N479q9fOvG9zuAtv3czl0/8raSvGGOekvRtY0yTMeZbH339Zl/gX2YS\n+uKffGMTCQCQvn77T5/SD2Y/fI/ifxqd4/dNALiJL/zR1/WPoYnbft+GT4odx5mV9FcfefmvPvLv\nH+uZnBp97S+/oUeeeHKjCQCQ1q79/viTf/iOEsuLmp8L6shn79ADD3F/dwD4OHtac/XA5+/WD97o\nv633GRtPSjLGODyhCQBuT9e7/6qJoTOqaLxfTXd+0XYOACSdeDSi957/PxSPLmnv0T9XQVmLHMe5\npU/dWX14BwDg1lW3nZAkjQ28o5Xlm36WGQAy0mj/W4pHl5Rb3KC8kqbbei+jGABSRHZ+hYqq9slJ\nxDTc/artHABIKol4VMNdr0iSatofljG3d1s2RjEApJCa9oclSaO9byq6ErZcAwDJY3zgXUUj88rO\nr1Jh+a7bfj+jGABSSG5hrQrK25WIr2ik+zXbOQCQFJxEXKGulyRt7JRYYhQDQMq5dlo80vu6YtFl\nyzUAYN9E8Jwii9MK5JSquHr/hr4GoxgAUkx+SZPyShoVjy5rtPdN2zkAYJXjJBTqfFHS6geSjdnY\nvGUUA0AKqml/RJI03P2K4jEe+wwgc00PX9LS/Jh8WQUqrTu44a/DKAaAFFRQ1qacwlrFVsIa6z9t\nOwcArHAcR8GOtVPi1uNyuTb8XDpGMQCkImPM+rXFw10vK5GIWS4CgJ03O9ah8GxQXn+uyhsOb+pr\nMYoBIEUVVe5RVl6FVpZnNTH4nu0cANhx106Jq1qOyeX2buprMYoBIEUZ41o/LQ52viQnEbdcBAA7\nZ26iR/NTfXJ7s1TReP+mvx6jGABSWEn1AflzShQJT2oydN52DgDsmGunxJXND8jt9W/66zGKASCF\nGZdbNW3HJa3+A8JxEpaLAGD7LUwPana8Uy63T1XNR7fkazKKASDFldbdJV+gQEvzo5oeuWw7BwC2\n3bVT4oqmI/L4srfkazKKASDFuVweVbU+JOnaabFjuQgAts/i3IimRy7JuDyqanlwy74uoxgA0kB5\nw2F5fDkKzwxpdrzTdg4AbJtrp8TlDYflC+Rt2ddlFANAGnB7fKpqOSbpg39gAEC6WV6Y0GTwnIxx\nqbr1+JZ+bUYxAKSJiqb75fYGND/Zq7nJXts5ALDlgp2nJDkqrbtL/uzCLf3ajGIASBMeb0CVTQ9I\n4rQYQPqJLM5oYvCMJKPqthNb/vUZxQCQRipbjsrl9ml2rEML00O2cwBgy4S6XpLjxFVSc4eycku3\n/OszigEgjXh9OapovE+SFOzktBhAelhZntdY/2lJWn+S51ZjFANAmqlqPSbj8mh6+KIW50Zt5wDA\npg13vyonEVNR5V5l51duy/dgFANAmvEF8lVef48kKcRpMYAUF1tZ1GjvG5K275RYYhQDQFqqantI\nMi5NDL2v5fCk7RwA2LCRnteViK+ooKxNuUV12/Z9GMUAkIYC2cUqqz0kyVGo8yXbOQCwIfFoRMM9\nr0na3lNiiVEMAGlr9ZZFRuMD7yqyNGs7BwBu22jfm4pHl5RX3KC8kqZt/V6MYgBIU1l5ZSquPiDH\niWu462XbOQBwWxLxqIa7X5Ek1bQ/ImPMtn4/RjEApLGa9hOSpLH+txWNLNiNAYDbMNZ/WtHIgnIK\nalRQ3r7t349RDABpLKegWoUVu9dOXF61nQMAtySRiCnUtfp5iJr2h7f9lFhiFANA2qtpf0SSNNr7\nhmLRJcs1APDJJgbPaGVpVll55Sqq2rsj35NRDABpLq+4XvmlLYrHIhrped12DgDclOMk1u+aU932\nsIzZmbnKKAaADHDtVkYjPa8pHotYrgGAjzcZPK/l8IT82cUqrbljx74voxgAMkB+aYtyi+pXnwzV\n95btHAC4odVT4tUncVa3nZBxuXfsezOKASADGGPWT4uHu15RIh61XAQAv2l65IoW50bkC+SrrO6u\nHf3ejGIAyBCFFbuVnV+laGReYwPv2s4BgA9xHEfBjtVT4qrWh+Rye3b0+zOKASBDXH9aHOo8pUQi\nbrkIAD4wO96l8MygPL4clTfcu+Pfn1EMABmkuHq/ArllWlma0eTQWds5ACBp7ZT46guSpKqWY3J7\nfDvewCgGgAxijEvVbcclScGOF+U4CctFACDNTfZofqpPHm+2KpuOWGlgFANAhimtPSR/dpGWwxOa\nDJ63nQMA66fElS1H5fb6rTQwigEgw7hcblW3rV5bHOx4gdNiAFbNTfZpbqJHbk9Alc0PWOtgFANA\nBiqrv0u+rAItzY9pavii7RwAGez6U2KPN8taB6MYADKQy+X54LT4KqfFAOyYnxrQ7HinXG6fqpqP\nWm1hFANAhiqvv0e+QL4W50Y0PXLZdg6ADBTsOClJqmx+QB5fttUWRjEAZCiX27N+J4qhqy/IcRzL\nRQAyycLMkGZGr8jl9qqq5UHbOYxiAMhk5Q33yuvP0+JsSDOjV2znAMggwaurp8QVTUfk9edarmEU\nA0BGc7m9qm57SBKnxQB2Tnh2WNMjl2RcHlW1HLOdI4lRDAAZr7zhPnn9uQrPDGl2rMN2DoAMcO1a\n4orG++QL5FmuWcUoBoAM5/b41k9qOC0GsN0W50Y1Fbog4/KouvW47Zx1jGIAgCqa7pfHl62F6QHN\nTXTbzgGQxoKdL0pyVu+Ak5VvO2cdoxgAILfH/6HTYgDYDksL45ocel/GuFXddsJ2zocwigEAklY/\nAe72Zml+sldzEz22cwCkoWDH6ilxWf3d8mcX2s75EEYxAECS5PEG1u8VymkxgK22HJ7UxNBZybiS\n7pRYYhQDAK5T2fyA3J6A5ia6NTfZZzsHQBoJdrwoOQmV1R1SIKfYds5vYBQDANZ5vFmqbDkqSQpy\nWgxgi0QWpzUx+J4ko5q2h23n3BCjGADwIVXNR+X2+DU73qn5qQHbOQDSQLDzlBwnodLagwrkltrO\nuSFGMQDgQzy+bFU0PSBJCnZwWgxgcyJLsxofeEeSUU17cp4SS4xiAMANVLU8KJfbp5nRq1qYHrKd\nAyCFhTpPyUnEVVJzQFl55bZzPhajGADwG7z+HFU03S+J02IAGxdZmtFY/9taPSV+1HbOTTGKAQA3\nVNVyTC63V9MjlxWeCdrOAZCCQh3XTonvUHZ+he2cm2IUAwBuyBfIU3njfZK4bzGA2xdZnNFY/2lJ\nRrW7kvuUWGIUAwBuorr1+Npp8SVOiwHclmDni3Kc1VPiZL6W+BpGMQDgY/kCeapYPy3+teUaAKki\nsjit8f7VO06kwimxxCgGAHyCqvXT4svciQLALQl2rJ4Sl9bemRKnxBKjGADwCXyBPFU0HZHEaTGA\nT7a8OHXdfYlT45RYYhQDAG5BdetDa/ctvsJT7gDcVKjjg6fXZeWV2c65ZYxiAMAn8vpzVdm8+pQ7\nTosBfJzl8HWnxLsesZ1zWxjFAIBbUtV6TC63T7NjHZqf6redAyAJBTtOrp4S1x1SVm7qnBJLjGIA\nwC3y+nJU1XJUkjR0hdNiAB+2HJ7U+OB7knGppj21ToklRjEA4DZUtRyT2+PX7Hin5ib7bOcASCLB\njhela9cS55bazrltjGIAwC3z+LJV2XzttPh5yzUAksX1p8S1KXhKLDGKAQC3qarlQbk9Ac1NdGtu\nosd2DoAkELx6UnISKqs9pEAKnhJLjGIAwG3y+LJV1fKgJGmQ02Ig4y0vTGh86MzqtcQpdseJ6zGK\nAQC3rbLlQbm9Ac1P9mp2vNt2DgCLhjrWTonr7lIgp8R2zoYxigEAt83jDaiq5Zik1WuLHcexXATA\nhqX5cU0Mrp0Stz9sO2dTGMUAgA2pbD4qjzdb81N9mhvvsp0DwILVh/k4Kq+/J6VPiSVGMQBggzze\ngKpaV0+LBzktBjJOeHZYk8H3ZVzulL6W+BpGMQBgwyqbHpDHl62F6QHNjnXYzgGwg67dlrGi8T75\nswot12weoxgAsGFur1/VrcclSYOXf8VpMZAhFqYHNT1ySS63V9VtqX0t8TWMYgDAplQ0HZHXn6fw\nbFBTwxds5wDYAYOXfyVp9U+LfIE8yzVbg1EMANgUt8e3fj3h0OXn5TgJy0UAttPcRI9mxzvl9vhV\n3Xbcds6WYRQDADatvOGw/NlFWloY08TQWds5ALaJ4zgavLJ6SlzVckweX7bloq3DKAYAbJrL5VHt\nrsckSUNXfq1EIma5CMB2mB3v1PxknzzebFWuPdkyXTCKAQBborTukAK5ZYosTmm8/x3bOQC2mOM4\n69cSV7cdl8cbsFy0tRjFAIAtYYxLdbsfl7T62NdEPGq5CMBWmh65pPDMkLz+XFU0HbGds+UYxQCA\nLVNcvV/ZBdWKLs9ppPcN2zkAtojjJNZPiWvaH5bb47NctPUYxQCALWOMS3V7PiVJCnWeUiy6bLkI\nwFaYDJ7T0vyofFkFKm+4z3bOtmAUAwC2VGH5LuUVNyi2sqiRnldt5wDYJCcR19CVX0uSanc9Kpfb\nY7loezCKAQBbyhijuj2fliQNd72i2Mqi5SIAmzE+eEbL4QkFckpUWne37ZxtwygGAGy5/NJmFZS1\nKR6LKNT5ku0cABuUiMc0dPXaKfFjcrnclou2D6MYALAtrl1bPNL7ulaW5yzXANiI0b43tbI0o6y8\nCpXU3mk7Z1sxigEA2yK3qE5FlXuViEcV7HjRdg6A2xSLLq//vVu/99MyJr1nY3r/1QEArFo9LTYa\n63tby4tTtnMA3Ibh7lcUWwkrr7hBhRV7bOdsO0YxAGDbZOdXqrT2oBzng0+vA0h+K8vzGu56RZJU\nv/dJGWMsF20/RjEAYFvV7n5cxrg1MXhG4dmQ7RwAtyDYcVKJ+IqKKvcor6TRds6OYBQDALZVIKdY\nFU33S3I0eOmXtnMAfILl8KTG+t6W9MHtFTMBoxgAsO1WHwvr18zYVc2Od9vOAXATg1eel+PEVVp3\nSNn5lbZzdgyjGACw7bz+XFW1PiRJGrj0rBzHsVwE4EbCsyFNDp2VcblVt/tx2zk7ilEMANgRVS3H\n5PXnKTwzpKnhC7ZzANzAwKXnJEkVTUfkzy6yXLOzGMUAgB3h9vhUu/sxSdLgpV8qkYhbLgJwvdmJ\nbs2Odcjt8aum7WHbOTuOUQwA2DFl9fcokFOq5fCExvtP284BsMZxHA1cXD0lrmp9SF5/juWincco\nBgDsGJfLrbq9q59mH7r6a8VjEctFACRpaviCwjODq9f/txyznWMFoxgAsKOKq/Yrp7BO0ciChrtf\ntZ0DZDwnEdfg5V9Jkmp2PSq3x2e5yA5GMQBgRxlj1LDvSUlSqPMlRSMLlouAzDY28I6WF8blzylR\necO9tnOsYRQDAHZcfmmzCit2KRFfUbDjpO0cIGPFYxENXXleklS351NyudyWi+xhFAMArKjb84Qk\no9Het7QcnrSdA2SkUNfLikYWlFtUp5LqO2znWLXhUWyMKTTGfMsY82VjzKHrXm82xrxjjPlrY0zT\n1mQCANJNTkGVSusOyXE+uJ4RwM5ZWZrVcNfLkqT6fZ+VMcZykV2bOSl+StLfOI7zI0nfvO51R9Kj\njuP8heM4vZuqAwCktbrdn5JxeTQZfF/zUwO2c4CMMnjleSXiURVX7VN+SaPtHOs8m3jvYcdx/mrt\nx80f+bmvrv2vjXccxzlzozc//fTT6z8+ceKETpw4sYkUAEAq8mcXqqrlQYU6T6n/4s+178H/kvGn\nVcBOCM+GND7wroxxqW7vk7ZztsypU6d06tSpDb3XbPT588aYH0r6huM4c8aYXzmO86kb/Gc+7nWH\n594DACQpFl3W+y/8n4pGFtR2+A9VUn3AdhKQ1hzH0ZU3vqvZ8S5VNh9V44HP207aNsYYOY5zS/9L\n+xMvn1i7Zvj6fz269lOnJZWs/Xjmuv/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"text": [ "" ] } ], "prompt_number": 82 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Window Function**\n", "\n", "The sampling window function in the time domain can be thought of as the sum of delta functions at sampled observation times.\n", "\n", "The Fourier transform of a set of delta functions with spacing $\\Delta t$ is another set of delta functions with spacing $1 / \\Delta t$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1004()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WIooQol/383NEdD8RVQohjsQau/zyy/GlL31pwpOYCQ68Xi9eeeUV/Pa3v8Wx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\nIJAYMGBAuDVn5cqVHHfccTz//POsWLGCPn36cMIJJ1BUVBQ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Od77j+fn53rNnT3/hhRe8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\n4RCQaLWciMXj0NQ+CY3rHLB+6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"text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "The fast Fourier transform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Runs at $\\mathcal{O}(N \\log N)$ instead of $\\mathcal{O}(N^2)$. Check it out in numerical recipes if you're curious of the details.\n", "\n", "There are some other variants too. One mentioned in the book is Welch's method, which computes multiple Fourier transforms over overlapping windows of the data to smooth noise effects in the resulting spectrum." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1006()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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P147tZz7zGXzwgx+0ln0U8cu16/nd734XgHmHO0hypospp2rKhdRq/fr1RkKH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\nP9555x2zj0tPT8fzzz+PkpISo9b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"text": [ "" ] } ], "prompt_number": 115 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.2.4 Wavelets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Trigonometric basis functions used in the Fourier transform have an infinite extent. \n", "\n", "For this reason the Fourier transform may not be the best method for nonperiodic time series data.\n", "\n", "Instead of using trigonometric basis functions, a better alternative may be to use basis functions that are localized.\n", "\n", "**Wavelets** are one such family of basis functions.\n", "\n", "Wavelets are localized in both time and frequency.\n", "\n", "Individual wavelets are specified by a set of *wavelet filter coefficients*.\n", "\n", "Given a wavelet, a complete orthonormal set of basis functions can be constructed by scaling and translations.\n", "\n", "Some well known wavelet families are Daubechies, Mexican hat, and Haar wavelets.\n", "\n", "Similar to the discrete fourier transform, a discrete wavelet transform (DWT) can be used to analyze the power spectrum of a time series as a function of time. This can be performed using the [PyWavelets](http://www.pybytes.com/pywavelets/) toolkit." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1007()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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6AS+EmA3gJgBfSSnvlFLeIaW8UUp5E4DfAzgA4LdCiJxoHpeIKNpKS0uxc+dO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KbkZExJKbRwENEwBNaBNXAHYPXAiJ3FAXZygJ2ssZMDrHKQPht0GdJJRqTtvHQQyDIL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9pd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\neUT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"text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "plot1008()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9HW+88QYikYgzuecX+xIpQKxcuTJhZkDlmaA+EEE0EPHs3J5qi5U2jGscyBpP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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In both of these examples the wavelet is of the form\n", "\n", "$$w(t|t_0, f_0, Q) = A \\exp{[i 2 \\pi f_0(t - t_0)] \\exp{[-f_0^2(t - t_0)]^2/Q^2}}$$\n", "\n", "which has the transform\n", "\n", "$$W(f|t_0, f_0, Q) = \\left( \\frac{\\pi}{f_0^2/Q^2} \\right)^{1/2} \\exp{(-i 2 \\pi f t_0)} \\exp{\\left[ \\frac{-\\pi^2 Q^2(f - f_0)^2}{Qf_0^2}\\right]}$$\n", "\n", "actually, it's not technically a wavelet because it doesn't meet the admissibility criterion, so it should be called a \"matched filter\". However, a scaling and offset could make this a *Morlet wavelet*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A similar method is called *matching pursuit*, which uses a large redundant set of nonorthogonal basis functions and uses the data to determine the appropriate set of basis functions (AKA, a dictionary). For an example, see [Lachowicz and Done (2010)](http://adsabs.harvard.edu/abs/2010A%26A...515A..65L)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A recent example is from [(Metcalfe et al. 2013)](http://iopscience.iop.org/2041-8205/763/2/L26/article), where they used wavelet analysis to analyze the magnetic cycles of Eps Eri.\n", "![Time series of Eps Eri](http://ej.iop.org/images/2041-8205/763/2/L26/Full/apjl456877f1_lr.jpg)\n", "\n", "\n", "![Wavelet Analysis of Eps Eri](http://ej.iop.org/images/2041-8205/763/2/L26/Full/apjl456877f3_lr.jpg)\n", "\n", "Hatched regions are outside of the \"cone of influence\", which suffer from edge effects. The weakest signal is shown with white and blue (and presumably black and purple), to the strongest signal being red and black." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**10.2.5. Digital Filtering**\n", "\n", "- Low pass filtering: only low frequencies are admitted\n", "- High pass filtering: only high frequencies admitted\n", "- passband filtering: finite range of frequencies admitted\n", "- notch filtering: finite range of frequencies blocked\n", "\n", "Using this technique will always reduce the information content of your data, but if you're going to use it, make sure you use the Wiener filter to suppress ringing." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1010()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Optimization terminated successfully.\n", " Current function value: 574032608.556378\n", " Iterations: 95\n", " Function evaluations: 180\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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LC5n16tWrQX/+f/7zn0Z/v/TSS2Yr74YzDXl7eze4mWWp/jNjxgyj2YVee+01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\n0vDM/zxoZ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"text": [ "" ] } ], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The low pass filtering mentioned here can only be done on evenly sampled data. For unevenly sampled data, use a Savitzky-Golay filter." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "10.3 Analysis of Periodic Time Series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A periodic time series satisfies $y(t + P) = y(t)$, where $P$ is the period.\n", "\n", "A convenient concept is phase-folding:\n", "\n", "$$\\phi = \\frac{t}{P} - int \\left( \\frac{t}{P} \\right)$$" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.3.1. A Single Sinusoid Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets take an example of a simple oscillator:\n", "$$y(t) = A\\sin{(\\omega t + \\phi)} + \\epsilon$$\n", "\n", "This can be partially linearized to speed up the analysis through the use of trigonometric identities\n", "\n", "$$y(t) = a \\sin{(\\omega t)} + b \\cos{(\\omega t)}$$\n", "\n", "(use the property $\\sin{(x+y)} = \\sin{x}\\cos{y} + \\cos{x}\\sin{y}$ and draw a triangle to show if $\\tan{\\phi}=b/a$, then $\\cos{\\phi}=a/A$ and $\\sin{\\phi}=b/A$\n", "\n", "Then the likelihood function is\n", "$$\\mathcal{L}(\\omega, a, b, \\sigma|t, y) \\equiv p({t, y}| \\omega, a, b, \\sigma) = \n", "\\prod_{j=1}^{N} \\frac{1}{\\sqrt{2 \\pi \\sigma}} \n", "\\exp{\\left( \\frac{-[y_j - a \\sin{(\\omega t_j)} - b\\cos{(\\omega t_j)}]^2}\n", "{2 \\sigma^2}\\right)}$$\n", "\n", "Using Bayes' Theorem\n", "$$p(\\omega, a, b, \\sigma|{t, y}, I) = \n", "\\frac{p({t, y}| \\omega, a, b, \\sigma, I) \\times\n", "p(\\omega, a, b, \\sigma | I)}\n", "{p({t, y}|I)}\n", "$$\n", "\n", "and assuming uniform priors, and ignoring the *evidence*, the posterior is then proportional to\n", "\n", "$$p(\\omega, a, b, \\sigma | {t, y}) \\propto \\sigma^{-N} \\exp{\\left( \\frac{-NQ}{2 \\sigma^2}\\right)}$$\n", "\n", "where $Q$ is a really long term defined in the book. A few approximations were used to remove some of the terms.\n", "\n", "If we're only interested in periodicity, and not the phase of the periodicity, we can further reduce the number of terms by marginzalizing over them\n", "\n", "$$p(\\omega, \\sigma | {t, y}) \\propto \\int p(\\omega, a, b, \\sigma | {t, y}) \\ da \\ db$$\n", "\n", "Finally, we're left at\n", "\n", "$$p(\\omega, \\sigma | {t, y}) \\propto \\sigma^{-(N-2)}\\exp{\\left(\\frac{-NV}{2 \\sigma^2} + \\frac{P(\\omega)}{\\sigma^2}\\right)}$$\n", "\n", "where \n", "\n", "$$V = \\frac{1}{N} \\sum_{j=1}^{N}y_j^2$$\n", "\n", "and $P(\\omega)$ is known as the periodogram and is defined as\n", "\n", "$$P(\\omega) = \\frac{1}{N}[I^2(\\omega) + R^2(\\omega)]$$\n", "\n", "where \n", "\n", "$$I(\\omega) = \\sum_{j=1}^{N} y_j \\sin{(\\omega t_j)}$$\n", "$$R(\\omega) = \\sum_{j=1}^{N} y_j \\cos{(\\omega t_j)}$$\n", "\n", "Finally, when the noise is known, this further simplifies to\n", "\n", "$$p(\\omega | {t, y}, \\sigma) \\propto \\exp{\\left( \\frac{P(\\omega)}{\\sigma^2}\\right)}$$\n", "\n", "see the book for how to come about this without marginalizing over $a$ and $b$. Essentially, you just take the derivative of the posterior, set it to zero, and solve for $a_0$ and $b_0$. Then just role with those values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**The meaning of periodogram**\n", "\n", "But what is the best value of $\\omega$ that is supported by the data? To answer this let's compute $\\chi^2$\n", "\n", "$$\\chi^2(\\omega) \\equiv \\frac{1}{\\sigma^2} \\sum_{j=1}^{N}\n", "[y_j - y(t_j)]^2 = \n", "\\frac{1}{\\sigma^2} \\sum_{j=1}^{N}\n", "[y_j - a_0 \\sin{(\\omega t_j)} - b_0 \\cos{(\\omega t_j)}]^2\n", "$$\n", "\n", "If we set $a_0 = b_0 = 0$ to get a constant model, the $\\chi^2$ for that constant model is\n", "\n", "$$\\chi_0^2 = \\frac{1}{\\sigma^2} \\sum_{j=1}^{N} y_j^2 = \\frac{NV}{\\sigma^2}$$\n", "\n", "which can be used to rewrite $\\chi^2$ as\n", "\n", "$$\\chi^2(\\omega) = \\chi_0^2 \\left[ 1 - \\frac{2}{NV} P(\\omega) \\right]$$\n", "\n", "The Lomb-Scargle periodogram is defined as\n", "\n", "$$P_{LS} (\\omega) = \\frac{2}{NV} P(\\omega)$$\n", "\n", "making the above\n", "\n", "$$\\frac{\\chi^2(\\omega)}{\\chi_0^2} = 1 - P_{LS} (\\omega)$$\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's great that we now have a way of dealing with unevenly sampled data and it's easy to incorporate heteroscedastic uncertainties. But how do we gauge the significance of peaks?\n", "\n", "One way is by using the Bayesian Information Criterion:\n", "\n", "$$\\Delta BIC = \\chi_0^2 - \\chi^2(\\omega_0) - (k_0 - k_{\\omega})\\ln{N}$$\n", "\n", "similarly, there's the Aikake Information Criterion\n", "\n", "$$\\Delta AIC = \\frac{NV}{\\sigma^2} P_{LS}(\\omega_0) - 6$$\n", "\n", "This seems like a good route to take for large data sets. A more obvious solution to determining peak significance will be discussed soon. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The discrete PSD gives optimal results if\n", "\n", "1. signal is single harmonic with constant amplitude and phase\n", "2. evenly sampled data\n", "3. N >>1\n", "4. Noise is gaussian\n", "5. noise is homoscedastic\n", " \n", "otherwise, you should consider the LS Periodogram" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.3.2 The Lomb-Scargle Periodogram" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The discrete Fourier Transform is great when there are evenly sampled data. Unfortunately it cannot be used when the data are unevenly sampled, which is often what we deal with in astronomy. In the cases with unevenly sampled data the Lomb-Scargle is a great tool for searching for periodicity. \n", "\n", "The normalized Lomb-Scargle periodogram is defined as:\n", "\n", "$$P_{LS}(\\omega) = \\frac{1}{V}\\left[ \\frac{R^2(\\omega)}{C(\\omega)} \n", "+\n", "\\frac{I^2(\\omega)}\n", "{S(\\omega)}\n", "\\right]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**The meaning of the Lomb-Scargle Periodogram**\n", "\n", "The Lomb Scargle periodogoram can be thought of as an inverted plot of $\\chi^2$ normalized by $\\chi_0^2$ (the $\\chi^2$ for a constant model).\n", "\n", "The Lomb-Scargle **does not** save computational effort (common misconception).\n", "\n", "**Practical application of the Lomb-Scargle periodogram**\n", "\n", "Since the underlying model is still nonlinear in frequency, and the basis functions at different frequencies are not orthogonal, the global maximum must be found through grid search. \n", "\n", "This can be done using `SciPy`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal.spectral import lombscargle" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 96 }, { "cell_type": "code", "collapsed": false, "input": [ "help(lombscargle)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on built-in function lombscargle in module scipy.signal._spectral:\n", "\n", "lombscargle(...)\n", " lombscargle(x, y, freqs)\n", " \n", " Computes the Lomb-Scargle periodogram.\n", " \n", " The Lomb-Scargle periodogram was developed by Lomb [1]_ and further\n", " extended by Scargle [2]_ to find, and test the significance of weak\n", " periodic signals with uneven temporal sampling.\n", " \n", " The computed periodogram is unnormalized, it takes the value\n", " ``(A**2) * N/4`` for a harmonic signal with amplitude A for sufficiently\n", " large N.\n", " \n", " Parameters\n", " ----------\n", " x : array_like\n", " Sample times.\n", " y : array_like\n", " Measurement values.\n", " freqs : array_like\n", " Angular frequencies for output periodogram.\n", " \n", " Returns\n", " -------\n", " pgram : array_like\n", " Lomb-Scargle periodogram.\n", " \n", " Raises\n", " ------\n", " ValueError\n", " If the input arrays `x` and `y` do not have the same shape.\n", " \n", " Notes\n", " -----\n", " This subroutine calculates the periodogram using a slightly\n", " modified algorithm due to Townsend [3]_ which allows the\n", " periodogram to be calculated using only a single pass through\n", " the input arrays for each frequency.\n", " \n", " The algorithm running time scales roughly as O(x * freqs) or O(N^2)\n", " for a large number of samples and frequencies.\n", " \n", " References\n", " ----------\n", " .. [1] N.R. Lomb \"Least-squares frequency analysis of unequally spaced\n", " data\", Astrophysics and Space Science, vol 39, pp. 447-462, 1976\n", " \n", " .. [2] J.D. Scargle \"Studies in astronomical time series analysis. II - \n", " Statistical aspects of spectral analysis of unevenly spaced data\",\n", " The Astrophysical Journal, vol 263, pp. 835-853, 1982\n", " \n", " .. [3] R.H.D. Townsend, \"Fast calculation of the Lomb-Scargle\n", " periodogram using graphics processing units.\", The Astrophysical\n", " Journal Supplement Series, vol 191, pp. 247-253, 2010\n", " \n", " Examples\n", " --------\n", " >>> import scipy.signal\n", " \n", " First define some input parameters for the signal:\n", " \n", " >>> A = 2.\n", " >>> w = 1.\n", " >>> phi = 0.5 * np.pi\n", " >>> nin = 1000\n", " >>> nout = 100000\n", " >>> frac_points = 0.9 # Fraction of points to select\n", " \n", " Randomly select a fraction of an array with timesteps:\n", " \n", " >>> r = np.random.rand(nin)\n", " >>> x = np.linspace(0.01, 10*np.pi, nin)\n", " >>> x = x[r >= frac_points]\n", " >>> normval = x.shape[0] # For normalization of the periodogram\n", " \n", " Plot a sine wave for the selected times:\n", " \n", " >>> y = A * np.sin(w*x+phi)\n", " \n", " Define the array of frequencies for which to compute the periodogram:\n", " \n", " >>> f = np.linspace(0.01, 10, nout)\n", " \n", " Calculate Lomb-Scargle periodogram:\n", " \n", " >>> pgram = sp.signal.lombscargle(x, y, f)\n", " \n", " Now make a plot of the input data:\n", " \n", " >>> plt.subplot(2, 1, 1)\n", " \n", " >>> plt.plot(x, y, 'b+')\n", " []\n", " \n", " Then plot the normalized periodogram:\n", " \n", " >>> plt.subplot(2, 1, 2)\n", " \n", " >>> plt.plot(f, np.sqrt(4*(pgram/normval)))\n", " []\n", " >>> plt.show()\n", "\n" ] } ], "prompt_number": 97 }, { "cell_type": "code", "collapsed": false, "input": [ "numSamps = 1e2\n", "x = np.sort(np.random.uniform(low=0, high=1000, size=numSamps))\n", "unc = np.random.normal(loc=0, scale=0.5, size=numSamps)\n", "signalPer = 100.9 #days\n", "y = np.sin(2 * np.pi * x / signalPer)\n", "fig = plt.figure()\n", "ax = plt.subplot(211)\n", "ax.plot(x, y, 'o-', markersize=5)\n", "ax.plot(x, y + unc, 'o')\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('Amplitude')\n", "\n", "ax = plt.subplot(212)\n", "pmin = 0.5\n", "pmax = 1000.\n", "omega = np.linspace(2 * np.pi / pmax, 2 * np.pi / pmin, 3e3)\n", "P_SP = lombscargle(x, y, omega)\n", "P_SP_Unc = lombscargle(x, y + unc, omega)\n", "\n", "ax.plot(2 * np.pi/omega, P_SP, lw=2, alpha=0.5, label='No Noise')\n", "ax.plot(2 * np.pi/omega, P_SP_Unc, lw=2, alpha=0.5, label='Noise')\n", "ax.set_xscale('log')\n", "ax.set_xlim([0.5, 1e3])\n", "ax.set_xlabel('Period [d]')\n", "ax.set_ylabel('Power')\n", "ax.legend(loc='best')\n", "\n", "fig.subplots_adjust(hspace=0.25)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:2: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", "-c:3: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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RuVtft++PjrZCkuxYsCAOv/4K3HefpUwAv7kTxBwxWJT0FBT0MUTDg25jdlMWpSAqyoqt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"text": [ "" ] } ], "prompt_number": 98 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**False Alarm Probability**\n", "\n", "As mentioned before, the $\\Delta$BIC can give a good idea of the significance of a signal if you know how to interpret it, and a large data set can help interpret the threshold. \n", "\n", "Alternatively, the significance of a peak can be assessed using a False Alarm Probability (FAP).\n", "\n", "A boostrap resampling is employed to compute the FAP, where the observation times are kept fixed and the y values are drawn with replacement. The peak in every sample is then recorded to assess the desired FAP levels. `astroML` has a built in method for doing this, which is shown below. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from astroML.time_series import \\\n", " lomb_scargle, lomb_scargle_BIC, lomb_scargle_bootstrap" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 99 }, { "cell_type": "code", "collapsed": false, "input": [ "help(lomb_scargle)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on built-in function lomb_scargle in module astroML_addons.periodogram:\n", "\n", "lomb_scargle(...)\n", " (Generalized) Lomb-Scargle Periodogram with Floating Mean\n", " \n", " Parameters\n", " ----------\n", " t : array_like\n", " sequence of times\n", " y : array_like\n", " sequence of observations\n", " dy : array_like\n", " sequence of observational errors\n", " omega : array_like\n", " frequencies at which to evaluate p(omega)\n", " generalized : bool\n", " if True (default) use generalized lomb-scargle method\n", " otherwise, use classic lomb-scargle.\n", " subtract_mean : bool\n", " if True (default) subtract the sample mean from the data before\n", " computing the periodogram. Only referenced if generalized is False.\n", " significance : None or float or ndarray\n", " if specified, then this is a list of significances to compute\n", " for the results.\n", " \n", " Returns\n", " -------\n", " p : array_like\n", " Lomb-Scargle power associated with each frequency omega\n", " z : array_like\n", " if significance is specified, this gives the levels corresponding\n", " to the desired significance (using the Scargle 1982 formalism)\n", " \n", " Notes\n", " -----\n", " The algorithm is based on reference [1]_. The result for generalized=False\n", " is given by equation 4 of this work, while the result for generalized=True\n", " is given by equation 20.\n", " \n", " Note that the normalization used in this reference is different from that\n", " used in other places in the literature (e.g. [2]_). For a discussion of\n", " normalization and false-alarm probability, see [1]_.\n", " \n", " To recover the normalization used in Scargle [3]_, the results should\n", " be multiplied by (N - 1) / 2 where N is the number of data points.\n", " \n", " References\n", " ----------\n", " .. [1] M. Zechmeister and M. Kurster, A&A 496, 577-584 (2009)\n", " .. [2] W. Press et al, Numerical Recipies in C (2002)\n", " .. [3] Scargle, J.D. 1982, ApJ 263:835-853\n", "\n" ] } ], "prompt_number": 100 }, { "cell_type": "code", "collapsed": false, "input": [ "PLSastroML = lomb_scargle(x, y + unc, unc, omega)\n", "# Get significance via bootstrap\n", "D = lomb_scargle_bootstrap(x, y + unc, unc, omega, generalized=True,\n", " N_bootstraps=1000, random_state=0)\n", "sig1, sig5 = np.percentile(D, [99, 95])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 101 }, { "cell_type": "code", "collapsed": false, "input": [ "help(ax.axhline)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on method axhline in module matplotlib.axes._axes:\n", "\n", "axhline(self, y=0, xmin=0, xmax=1, **kwargs) method of matplotlib.axes._subplots.AxesSubplot instance\n", " Add a horizontal line across the axis.\n", " \n", " Parameters\n", " ----------\n", " y : scalar, optional, default: 0\n", " y position in data coordinates of the horizontal line.\n", " \n", " xmin : scalar, optional, default: 0\n", " Should be between 0 and 1, 0 being the far left of the plot, 1 the\n", " far right of the plot.\n", " \n", " xmax : scalar, optional, default: 1\n", " Should be between 0 and 1, 0 being the far left of the plot, 1 the\n", " far right of the plot.\n", " \n", " Returns\n", " -------\n", " `~matplotlib.lines.Line2D`\n", " \n", " Notes\n", " -----\n", " kwargs are the same as kwargs to plot, and can be\n", " used to control the line properties. e.g.,\n", " \n", " Examples\n", " --------\n", " \n", " * draw a thick red hline at 'y' = 0 that spans the xrange::\n", " \n", " >>> axhline(linewidth=4, color='r')\n", " \n", " * draw a default hline at 'y' = 1 that spans the xrange::\n", " \n", " >>> axhline(y=1)\n", " \n", " * draw a default hline at 'y' = .5 that spans the the middle half of\n", " the xrange::\n", " \n", " >>> axhline(y=.5, xmin=0.25, xmax=0.75)\n", " \n", " Valid kwargs are :class:`~matplotlib.lines.Line2D` properties,\n", " with the exception of 'transform':\n", " \n", " agg_filter: unknown\n", " alpha: float (0.0 transparent through 1.0 opaque) \n", " animated: [True | False] \n", " antialiased or aa: [True | False] \n", " axes: an :class:`~matplotlib.axes.Axes` instance \n", " clip_box: a :class:`matplotlib.transforms.Bbox` instance \n", " clip_on: [True | False] \n", " clip_path: [ (:class:`~matplotlib.path.Path`, :class:`~matplotlib.transforms.Transform`) | :class:`~matplotlib.patches.Patch` | None ] \n", " color or c: any matplotlib color \n", " contains: a callable function \n", " dash_capstyle: ['butt' | 'round' | 'projecting'] \n", " dash_joinstyle: ['miter' | 'round' | 'bevel'] \n", " dashes: sequence of on/off ink in points \n", " drawstyle: ['default' | 'steps' | 'steps-pre' | 'steps-mid' | 'steps-post'] \n", " figure: a :class:`matplotlib.figure.Figure` instance \n", " fillstyle: ['full' | 'left' | 'right' | 'bottom' | 'top' | 'none'] \n", " gid: an id string \n", " label: string or anything printable with '%s' conversion. \n", " linestyle or ls: [``'-'`` | ``'--'`` | ``'-.'`` | ``':'`` | ``'None'`` | ``' '`` | ``''``]\n", " linewidth or lw: float value in points \n", " lod: [True | False] \n", " marker: unknown\n", " markeredgecolor or mec: any matplotlib color \n", " markeredgewidth or mew: float value in points \n", " markerfacecolor or mfc: any matplotlib color \n", " markerfacecoloralt or mfcalt: any matplotlib color \n", " markersize or ms: float \n", " markevery: unknown\n", " path_effects: unknown\n", " picker: float distance in points or callable pick function ``fn(artist, event)`` \n", " pickradius: float distance in points \n", " rasterized: [True | False | None] \n", " sketch_params: unknown\n", " snap: unknown\n", " solid_capstyle: ['butt' | 'round' | 'projecting'] \n", " solid_joinstyle: ['miter' | 'round' | 'bevel'] \n", " transform: a :class:`matplotlib.transforms.Transform` instance \n", " url: a url string \n", " visible: [True | False] \n", " xdata: 1D array \n", " ydata: 1D array \n", " zorder: any number \n", " \n", " See also\n", " --------\n", " axhspan : for example plot and source code\n", "\n" ] } ], "prompt_number": 72 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = plt.subplot(111)\n", "ax.plot(2 * np.pi/omega, PLSastroML, lw=2, alpha=0.5)\n", "ax.set_xscale('log')\n", "ax.set_xlim([0.5, 1e3])\n", "ax.set_xlabel('Period [d]')\n", "ax.set_ylabel('Power')\n", "ax.axhline(y=sig5, color='#BA4C37', ls='--', lw=3, label='5% FAP')\n", "ax.axhline(y=sig1, color='#982023', label='1% FAP')\n", "ax.legend(loc='best')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 102, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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tcZr1MWKI3NROs3p/yW9divZz+ZCUEorm7pPnY9Hss2y2CUY04kPDnhBH/umf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445F1Oam2vyr97jD1k/+9S5cuTbVbUyt1AXZVU0G7MWaupMWS5kk6Kmm/LTPX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"text": [ "" ] } ], "prompt_number": 103 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Generalized Lomb-Scargle Periodogram**\n", "\n", "One problem with the 1982 version of the Lomb-Scargle periodogram is that it implicitly assumes the mean of the sample is the same as the mean of the true function. Since we are not evenly sampling the data, may be working with small data sets, or may not be sampling the full period, this is a bad assumption. As [Cumming et al. (1999)](http://adsabs.harvard.edu/abs/1999ApJ...526..890C) pointed out, this can cause problems with aliases.\n", "\n", "To correct for this, [Cumming et al. (1999)](http://adsabs.harvard.edu/abs/1999ApJ...526..890C) added a floating mean to overcome this deficiency:\n", "\n", "$$y = a \\cos{\\omega t} + b \\sin{\\omega t} + c$$\n", "\n", "(note the extra free parameter, $c$). They demonstrated its effectiveness and used it for a thorough statistical analysis of the detectability of planets from the Lick planet search program. Later, [Zechmeister and Kurster (2009)](http://adsabs.harvard.edu/abs/2009A%26A...496..577Z) wrote up the analytical derivation for this and referred to it as the \"generalized Lomb-Scargle\" periodogram (not to be confused with the [Bretthorst (2001)](http://adsabs.harvard.edu/abs/2001AIPC..568..246B) generalized Lomb-Scargle periodogram, which is completely different).\n", "\n", "**Errata**: There was a typo in Figure 10.15. An updated version can be found [here](http://www.astroml.org/book_figures/chapter10/fig_LS_sg_comparison.html#book-fig-chapter10-fig-ls-sg-comparison), and a corrected version with a larger data set is reproduced below.\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1015()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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LgVgs5sqdj9OlORaLZfzedsom83t79eoV2HNCF2EKDDiUKECK6fLT4e6TgP01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\nXjqDDixDu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"text": [ "" ] } ], "prompt_number": 82 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.3.3. Truncated Fourier Series Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens if data have an underlying variability that is more complex than a single sinusoid?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#6 stars from the LINEAR data set. Periods estimated using the Lomb-Scargle Periodogram.\n", "plot1017()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Downloading http://www.astro.washington.edu/users/ivezic/linear/allDataFinal/allLINEARfinal_targets.dat\n", "[= ] 25.0kb / 1001.2kb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[== ] 50.1kb / 1001.2kb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[=== ] 75.1kb / 1001.2kb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[==== ] 100.1kb / 1001.2kb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[===== ] 125.2kb / 1001.2kb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[====== ] 150.2kb / 1001.2kb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[======= ] 175.2kb / 1001.2kb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[======== ] 200.2kb / 1001.2kb \r" ] }, { 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"stream": "stdout", "text": [ "[===================================== ] 14.85Mb / 16.05Mb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[====================================== ] 15.25Mb / 16.05Mb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[=======================================] 15.65Mb / 16.05Mb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[========================================] 16.05Mb / 16.05Mb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "[=========================================] 16.05Mb / 16.05Mb \r" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "@pickle_results: using precomputed results from 'LINEAR_LS.pkl'" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " - omega_0 = 17.21695506" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " - omega_0 = 51.10600808" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " - omega_0 = 10.20062676" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " - omega_0 = 45.55493503" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " - omega_0 = 58.44512277" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " - omega_0 = 10.82722772" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1H9i82fluOUqwLVY7E4Q5fdeu5uONCAD+CAd7EEmahEZzFJ1OYubMMrp1q2T0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\n48d/TmLiXoYMGeL1jt9WF9xrnNWptw/6Hf/uSo8ep9m7txOJiadYuDCAz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AwWi4XPP7+K\n1FTbCXjatE1cffUDtfbf3BeWMqG8+Y0eDWvW/Mzvfx9MRcUfeOaZ00ybdjOq+itbt24lNDSUvLw8\ntm7dSkBAAGFhYfp8KXeCf/nMC9H6OKtyU1Rk4vPPbYuWPvRQcx+hjVvBvaIoQaqqFjX2wXiTlifr\nDfX15tn3+DgG2/b7ADh9+jRVVVXk5eXp2xQFJkyA22+HDz6Ap58u59tvuxAXB88/X8XDDxt47DEo\nK7sQiDvSLixyc3NdVuFxNpHWnbzfhjRC0nCJi1XXBaKnAXhVVRUnTpxg8OC55Oe/A8Dixb/w888H\ngQfqvnMTa+kT3tuT++67nKKibObOvZovv+zG2bN/4PXXf+abb3azd+9eHnnkEfLz8/U8fLPZzO7d\nu2vtx9l7WS7ghGidHKvczJxp2x4dDV261H3fpur4dDfnPl5RlBmKogQpijJFUZSViqJMbpQj8hIt\nqPTWojDe6M0LCgoiODgYf39/evfuXevvigJ33gmHDvnx+9+/xa23QnGxgfh4MJlgyRITt9xyIf/X\nvnGwf4M01ptFq70ti+yIpqBdIDq7WNVGnLSfXTGbzWzYsAGAbduOUlCQBHRg+vQ8Xn31hnrzo+3f\n86J9evjhUA4c6ITJBP/6lx9Tp/6GvXvLiYiIwMfHdfqkJj09nVWrVpGdnV0jsJf8fCFaH8c5gQUF\ntrVRwFYYpT51tWve5G5aTiFgAaYBo1VVna4oSmyjHZUXNWXPsTs9MYqiYDAYyMjIcFn6SFGgf/8c\n3noLvvrKVif/3Xdh9WpISoJRo87i49OJlStv5tdf3S8XebH5xI698d64ApX0HdEQ2ojTokWL6n3P\n9O7dG0XpRnl5CqpqpG/fQzz3XBeGDXPvcVylwDUWyftvea6+GvbutXW+ZGbCmjUPYTRaiImJ4aef\nftLz8B3THFVVZcqUKXqVHRmJEaL1s6+Uk5p6A6WlXRkzxnaeqE9Tjdi5G9yfrv7eHzAqihLYSMdz\n0exPrk3J3Um3HTt2pLy8vM5FC+z/+TfdBCkpcOQIJCbC+vUqqamdgXn4+NyBr+8KSkvdqLlUzXEE\nwj5HH/Ao0PY09cZZIC/pO6Kx9eplJjh4N2fP9ic0FMaP/4D+/Z9mw4YNvPHGGy0ygG4Jef+ipssu\ngzfftBIWlk5JyR+Ij78KX9/reeihSnx8KnmlevWaG264gfz8fDIzMwkMDKTUrgTaiRMnSEtLw2Qy\neZSfL4RoObTOpaoq0KqtP/JIzdukp6eTkZFRo+BDU67h425wnwxEARuAUuBpLgT8LYo7+e+aplxE\nxmq1EhoaSnh4OPv27XP5T3X1z7/mGlizBmbNOs6oURs5e/Z+KisHUFn5KpGRMG1aEf7+QQQHFzmt\nxe+KY2DtLND2xpWmFti7OxzVWBN9G2MfonnYry/h6n+nqrYF5E6e7E+XLsV88MElrFlzHovFwt13\n301xcTELFiyo8Xl03K8QGj8/laCg+VRUfMG5c3+louI+Xn99OB07Psx33z3Cm2++SZ8+fbj33nsp\nLi7m66+/JiYmhqKiIoKCgvQ1TLRzbEpKComJibUqPjkLDIQQLcvHH0NOjq385YQJF7ZbLBamT5+u\nnwOa4/PrbnDfF+gGzAL6qqo6tvEOyTvcCQ7tLwQulieTbi+mBOVNN/Xh66+n8tJLiQwduox5805w\n8mQIK1cGAXO48sqj3HijiV69oEOH2vf3dGTD/mJj8uTJdQb5joGy4/bs7GzA+ZwAZ0F2Y0z0bYx9\niMZR30Wl9j6qqwZ9YiKsXQsdOpzn3nvf4cSJGwBbD2pJSYn+s/1n1n6/2jHIarICap7nJ0w4zb33\nnuOXX/pSVvY+M2f+l9/8pqrG7fPy8gAYPnw4ubm5pKen6+/p9PR01q1bR2VlJdu3b9ffUy0hMBBC\n1O9vf7N9f/hhcGP6TZOmXLob3I/B1lP/CTCo8Q7He7wZuEPdFwv2genFDqW78883m8107x7IvffC\n0aNruO22hbzyCmzcWMnRo1dx113QtWs5d99dypNPBtO3b+19aLX4f/75Z72nX+uxfPnllzGZTNUL\nuthUVVURFRVFaWkpvXr10nuU7LkKlE0mE9nZ2axZswbA6XCUBNnCnjvDl/UF/1u2QFyc7ee77trC\nFVf8SETETHbs2EFkZKT+XqusrHQ62uV4DPLeFHAhZerKKytYujSdnTuLSUm5ltTUS4F5dOlyju3b\n97J8+bP66NDXX3/N8uXL9aB9zpw5hISEEBAQQHFxMSEhIc39tIQQbtBG1Xr3voWPPorAz0+pVf6y\nrjiuqVIuPVmh9gC2Hvx+jXQsLZp2seAspUQLTN1ZxdKdFBdP//mHD68jNnYPTzzxEuPG7aB791Pk\n5/vx978H068fjBkDGzfaVr/VjnXSpEnMnj1bP37770VFRUyaNAmTyaS/SadNm4Zv9coMJ0+e9NpM\n74tJ+ZFScu1XfdVGPv8c7r3XlpazZAlcfvneGj3w69evx2g0YjQa8ff3r3WxDpCRkUFFRUUTPSPR\n2phMJmJiHiA+Poi5c9+gQ4f3gc688oqRYcN6c/z4TEpLLwFso0O9evXi7NmzVFVV6QUV7KtuaJWZ\ncnNzee2111iwYAG5ublSmUyIFkIbVVu8eDF7916DqipMngzdu9e+rf2k2+b4DLvbc7+q+nswsL+R\njqXN0xY/KC0tJTw8nKFDh3olQM7NzWX48OGcO7eVoUNLiYjIYPTohSQlwaZNkJpq+woMtC2LXFnZ\nh6oqMDhc2mnBsuOFhdlsxmQy6Vei2t89Ca6NRiMx1TNPtCvZi6nn3ZQTU5qCXKjUdDHDl999BxMn\nQnm5bRG4oUM/4/bbkzAYDISHh+sXposWLQKgrKysxuiVlrI2dOhQ9u3b16xVa9atW9csjytcczaK\nu2TJLGbOtDBv3isUFj5KaqqB3buH0qHDEXr1+or1660MGxZChw4dqKio0AsqaHOxtH1pa7OYTCYG\nDRqktw8yN0iIlkNVDWzebLtwnzHD+W1cZY80VYqnW8G9qqoWRVEGAjnYeu9FA2m933VVy/FUQUFB\njVU4jUYjt9wCt9wCL78Mb78N//gHZGXZJuVCNLt3w333wZkztktOx5U8ndECnIKCAo+Day1wdbxw\n0HpG165di6+vr0eTgduKtnah4ilXgUtdI1iugv8TJ+C226CwEH73O3jySQu//W0UJSUlBAQE6J87\n+wtZ+xE3+wBLey82Z9Uaby3EJ7zHVaNtNpu5/voCFi60lc1cuhQ+/BCs1nBWrw7n3XfLKS39FVXd\nRFVV7X1ZLBasVisFBQW19q+qKtnZ2ZIaJkQz0tqdxx/fwXvv+dK3L7iRsFGDt1PGXXF3hdqd2NJy\nwJZzn1jHbYOAwcAgVVUTFUXpC2wCMoEEVVUt1bfrC4wC8oEcVVUPNvhZtBD1XZGZzWa9/Flubm6N\nOveuJqPW9Thbt26lZ8+eFBQU1EofsN/fHXeYeOQRE0eOwFtvwd/+Vsjx48EsWQLwJ778EoYMgTNn\nLkVbiNjZ8VgsFj1vfujQobUmJLrqfba/34IFC/T9ms1mvWe0uLgYcL8UZ0N6dqX3q3E19PX1xnwL\nq9XK9u1f8uKLd5KX14Xf/hbeeQd++sl2QR0QEMC0adP092l4eDi//vor06dPd7lPd9LsGov2GW+t\nwb0H7UAwEIut46hNtAMAQ4fCe+/BF1/kceut66mo+AOnTvXG9lRjGTz4HH36HGbsWIVJkzpz+eUV\nhIeH16iH72qEs71d/AvRkiiKwsmTtwEweXIBBkPLLFnsblrOAVVV4wCqe/BdUlW1SFGUHGyTcAFU\nYJSqRY0XzAOWqqpqVRRlE7YFslo1d67ItFJojoFDXQFOfZVkFi1axL59+1i8eLG+bevWrRQVFdXI\njb/mGnj+efD1Xc6oUQt56y14660yDh705+BBM5CNonzNV1/lUVZWd8B100036X+LjIx0uwGKioqq\n8TftZy34j4mJcTvI83RugjtBZF0BamNdHLSVRYu8EaS7y/H9dtllZhISIDe3C9dcAx98AJ061Xxt\ntfdKXl4ev/zyC6qqsmHDBsaOHeu1FDlv0T7jWupQa+NBOxALrFJV9YyiKCuB2U15nN7krHOnV68q\nnnyymOXLr0VRwhkyJJ6DB/tSWNiVwsJr+de/bBWdzOZzFBcnAB+iql/Vucihs/OQdFwI0TQCAkxk\nZ4PBoDJlSjHQuoP7voqi/Btb74oZuNLDx5mmKApAll3PzDFsr4qVVp7q09j50nUFTfaPnZycDFAj\nrcbZSd5ggN/8xkqfPuuZMaOQSy6J4sABMzt3+qOqN7B37w1cey306PFHVNWWv6yqtkDJPm/ek8A6\nKipKX8Wxubjzf6rrtW7M4FUWLWq48nKYMgVyc01cfrmt9nDXrhf+7vja9u7dG6PRSH5+PgaDoVaK\nnMx9aDTO2oEhqqpqI8Gtuh1w1rljMpm4/fbbWbFiBZWVX/F//1dKr15FRET8jqKim/h//+8Jvvmm\nOxaLHxANRFNaCgsWFDN8eBV33QXDhtW8+LdYLLVSdCRtR4im8eabUFEBHTvu4Lbb7mbFihUtrnMI\n3A/u81VV7Q/199w7qh5+Taq+705gbPX2REVRplSf7PM92WdL4q0h04ZcIDjWoPfkcVRVJT4+HoCv\nv/4TZnNPHnnkSfLyriY39yZyc0M5depSFi2CRYvgkkse5/vvi7n00ol06ZJRa/a3q95nd3L57Sfb\nejvA1Xq0/Pz8mDNnDqWlpTK03cI05L2vvd/++tdXefppMx99BAEBZ0lN7UyfPnWnuZnNZrKysli8\neDFBQUE1UuTsU8jmzJmDoihS394LXLUD1b8Hqqp6prmOrbFFRkZy8OBBli9fTmRkJAD79r3J4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XQFF6oKp3067dx9x/f1WLu/48bDYbu3fvNqrnemJ+tv6q5zakkNMr+Lpcrio52fUMSd7wFMhQ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\ngiAIAcL/B1smScMKhgN0AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 104 }, { "cell_type": "markdown", "metadata": {}, "source": [ "One way of going about this is to use multiple Fourier terms:\n", "\n", "$$y(t) = b_0 + \\sum_{m=1}^{M} a_m \\sin{(m \\omega t)} + b_m \\cos{(m \\omega t)}$$\n", "\n", "and then the periodogram becomes\n", "\n", "$$P_{M}(\\omega) = \\frac{2}{V} \\sum_{m=1}^{M}[R_{m}^2(\\omega) + I_{m}^2(\\omega)]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from astroML.time_series import multiterm_periodogram, MultiTermFit\n", "from astroML.datasets import fetch_LINEAR_sample\n", "data = fetch_LINEAR_sample()\n", "t, y, dy = data[14752041].T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 105 }, { "cell_type": "code", "collapsed": false, "input": [ "print(np.min(t), np.max(t))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(52653.465077000001, 54620.262198999997)\n" ] } ], "prompt_number": 106 }, { "cell_type": "code", "collapsed": false, "input": [ "pmin_linear = 1./48. #days\n", "pmax_linear = 2.\n", "omega_linear = np.linspace(2. * np.pi /pmax_linear, 2. * np.pi / pmin_linear, 1e4)\n", "P_MT1 = multiterm_periodogram(t, y, dy, omega_linear, 1)\n", "P_MT6 = multiterm_periodogram(t, y, dy, omega_linear, 6)\n", "\n", "P_LS = lomb_scargle(t, y, dy, omega_linear, generalized=True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 107 }, { "cell_type": "code", "collapsed": false, "input": [ "print(P_MT.shape)\n", "print(t.shape)\n", "print(omega_linear.shape)\n", "fig = plt.figure()\n", "ax = fig.add_subplot(211)\n", "ax.plot(2. * np.pi / omega_linear * 24., P_MT1, label='1 Multiterm')\n", "ax.plot(2. * np.pi / omega_linear * 24., P_MT6, label='6 Multiterm')\n", "ax.plot(2. * np.pi / omega_linear * 24., P_LS, label='Lomb Scargle')\n", "#plt.xscale('log')\n", "ax.set_xlim([pmin_linear*24., pmax_linear*24.])\n", "ax.set_xlabel('P [hours]')\n", "ax.set_ylabel('Power')\n", "ax.legend(loc='best')\n", "ax = fig.add_subplot(212)\n", "maxper = 2. * np.pi / omega_linear[np.where(P_LS == np.max(P_LS))[0]]\n", "ax.plot((t / maxper) % 1 , y, '.')\n", "ax.set_ylim([np.max(y), np.min(y)])\n", "ax.set_xlabel('Phase')\n", "ax.set_ylabel('Mag')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(3000,)\n", "(253,)\n", "(10000,)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 132, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vE2BBCjdTRpuQBBNNu+dNAHM45wM55wMB/LbtPkIIiRs1NkLxkcSgFn4NzoY4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SDaPnBalPdegAuHXIidt+7E07OeFh2zH9LxQRRF4YpKoPae1aFjDn+YQTrIWkfo0A3R08sQ4hdH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\nT/PXGt02S5Zo6RMzZzLtgIiIyNM4MiT5NF/L1XWUXm6vrzUUJ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Aho2b2FdSwabj6fgMG8V/rVYys7OZtvCPVNfV4eHnx07Vg8nLnqO0ppYndu9z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WzatIlXX32VHTt2iMpJXsTnPA6rDh9zdYi+ZlDbJkcZ6emMdHbqVWPyrxnYsGRlv5goUiMjMNVY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\nXb7HZeMNhPr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"text": [ "" ] } ], "prompt_number": 108 }, { "cell_type": "markdown", "metadata": {}, "source": [ "But how do we know the number of Fourier modes to include? 5, 10, 100, M = N/2 - 1?\n", "\n", "Bayesian Information Criterion to the rescue:\n", "\n", "$$\\Delta BIC_{M} = \\chi_0^2 P_M (\\omega_0^M) - (2M + 1) \\ln{N}.$$\n", "\n", "Add components and recreate the multi-term periodogram until $\\Delta BIC$ is maximized." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1019()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7KXmbN3wDlZ7o6GiioqJo1qxZmv6pU6fSuXNnADp27EiJEiUoX748VapUYfTo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"text": [ "" ] } ], "prompt_number": 143 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.3.4. Classification of Periodic Light Curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Among other techniques for classification, one option is to use the multiterm periodogram to find the best periods, and then fit for the best coeffecients for all $m$ components:\n", "\n", "$$y(t) = b_0 + \\sum_{m=1}^{M} a_m \\sin{(m \\omega_0 t)} + b_m \\cos{(m \\omega_0 t)}$$\n", "\n", "$b_0$ is a generalization term. But that's not all! You can even fit multiple periods simultaneously:\n", "\n", "$$y(t) = b_0 + \\sum_{k=1}^{K}\\sum_{m=1}^{M} a_{km} \\sin{(m \\omega_k t)} + b_{km} \\cos{(m \\omega_k t)}$$\n", "\n" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Gaussian Mixture Clustering Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A nonparametric method based on the hypothesis that diferent physical classes will be clustered together in the multi-dimensional parameter space. Once the clusters have been identified, they can be assigned a physical meaning.\n", "\n", "The below plots show the resulting 12 clusters from minimizing the BIC on two data attributes: $g-i$ color and $\\log{P}$. ab-type RR Lyras are two separate clusters because a Gaussian is a poor description of their distribution. A is light curve amplitude." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1021()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "@pickle_results: using precomputed results from 'LINEAR_clustering.pkl'\n", "number of components:" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 12\n", "number of components:" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 15\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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V5HI5K1asICgoyKiin7vZvHkzGRkZvPXWWzg7O1vAwsYxGAxotdpm3SgYDIb7aotXou2Q\nItt10el0aDQai60ber0evV6Pg4OD0d/14uJivvnmG/r378+cOXMsYld9lJWVsXz5cnr06FHHcZeQ\nkGgeks52O2H79u0cPHiwrc1okJiYGL799ltKSkqaPYezszP9+vWjb9++tR4/c+YMN27caPL5CxYs\n4N13323WBfP48eNs3LixRdFlGxubZlf733nxVSqVyGSyZtsh0TRyuZwNGzaQlJTU1qZIWAiZTMb6\n9esblLS8k19//ZVly5ZRXl5uEVtsbW1rdruMvanu1KkT77//PrNnz655TKlUsnr16lr63QDnz59n\n/fr1qFSqeufS6XSkp6cbpbVdvQ4HBgaydu1arl+/bpS9EtZBdHQ0sbGxbW2GhAlIzraVYDAYSE1N\nJT09va1NaZDi4mIKCgpQKpUcO3aMAwcOmDyHvb098+fPZ/jw4TWPqVQqDh8+zNGjR5t8vq2tbbOd\n3Zs3b5KZmYlGo2nW883Jnj17WLNmTZ3mFxLmo7CwkLS0NDIzM9vaFAkLIZPJyMjIIDc3t8mx/v7+\nBAQEGJ3+lZOTw6ZNmyz+HXV0dKzlnGs0GgoKCigsLKw1TiaTkZWV1aCzferUKX766Sfi4uKaPKed\nnV1N/cjNmzfJyclp2YuQaDVEUeTgwYNERka2tSkSJiClkVgRSqWyRc6kpRFFkcrKSpycnFixYgUV\nFRX86U9/MktqRGpqKi4uLs2Sb1Kr1fW+Z7m5uRw5coQpU6bg5+eHVqtFo9E0qVbSGly/fp2UlBRm\nzJhhUZWT+52CggI6derULps5tYT7JY1EFEUKCgpMrr8oLi5m//79jBkzhqCgoHrHnDt3jkOHDjF7\n9uxGZfgsQWVlJQ4ODrXWVr1ej0qlalDRJCcnh7NnzzJ58uQmc77vpLS0FHd393aX4qbX6zEYDPfl\n+pmZmYmdnZ3F6xAkTENSI5EwOwqFAr1eX2dRl8vl2NjYtFohnEwmY+3atYwdO5aJEyfWOhYdHc3+\n/fuZOXMm4eHhrWJPY1y7do3ffvuN+fPnW50mbGlpKTk5OYSEhLS1KRJm4H5xtpvLjRs3+OWXXxg/\nfnyDxcSiKJKbm4ufn1+j2tz1IZfLkclkVt3ARKFQsGHDBgYNGsTo0aPb2hyTWb9+Pfn5+bz99tst\ndrgNBgN5eXnN+qwlJKqRcrbvE86fP8+PP/7Y4DajOXFzc6vjaBsMBr799lvWrl1r8fNX4+TkhJeX\nV72RnKFDh/Laa68xbNiwVrOnMcrKyigpKanV7tlaOHjwIL/++ivZ2dltbUq7Iyoqip9//tnijY8k\nzEdwcDCvv/56o50QBUFAoVCwdu1aioqKTJr/0KFDbNu2jaysrJaaWi/VKSMtSYnTaDQUFxdTWlpq\nRstaDy8vLzp37myWiPy5c+f4/vvvuXLlihksk5CoiyT9dw+Rk5PDzZs3USqVODk5tWiu4uJiOnbs\naNL2u42NDQMGDGiWlFR8fDyJiYnMnj27Tk5lWVkZgiDUGy338vLiD3/4Q71zCoJgVRHkUaNGMWTI\nEERRRBRFq4qgjB49mi5duljV+9VeyMzMJDs7G61WK+mHtyO6dOnS5Jjc3FxkMhmlpaVNatbfmdbg\n5+dXk8JUTXl5OXq9vsFmNaYgk8m4efNmTbpJc/Dy8uKDDz5ot2kYs2bNMttc3bt3p3fv3nTt2rXF\ncykUCuzt7SVJRYlaSGkk9xB6vZ49e/bg5ubGlClTmj1PVlYW69atY8SIEUyfPr1FNl25coULFy6w\nYMGCRvMIf/nlF27cuMHixYtr5V+Kosj//vc/HBwceOedd1pkS3M4dOgQlZWVZpPlunXrFqtXryY8\nPLzF762EdWBNtQDVSGkk5kEUReRyuVE50GvXrqW4uJi3336bPXv2cPXqVRYtWoS/vz8AX3/9NQqF\ngg8++KDFNQQ6nQ61Wm1Vf3MNIYoiO3fupGPHjkyePLnO8V9//RU7Ozvmzp3bBtY1THZ2NkePHmXa\ntGlG3ZhB1Vrw2Wef0alTJ1577TULWyhhbUhpJPcJgiCQmJjYYhknDw8PgoKCTGqQ0BD5+fnk5eVR\nUVHR6LhHHnmE1157rU6hkyAIhISEYDAYiIqKarE9plLdPvlO5yEvLw+5XN6s+RwdHfH29q4V8WoL\niouL2bhxo1Wr37QX7O3t24XTI2E6giAYXWzYuXPnmrSGhx9+mFdffRV/f38qKir4+eef8fHxoX//\n/mYp1rWzs6v1N2cwGEhLS0Ov17d4bnOj1+tJSkpqUIJTJpPVK4Oal5fHypUrjZKEtQQ3b94kPT3d\nJKUWOzs7+vbtS58+fSxomUR7RIps3wOcP3+egoICHn74YRQKBba2tlZz8RdFEaVS2SJ7FAoFX331\nFX379uXxxx83o3VNo1QqEUWxxn6VSsVnn32Gj49PvZELg8HAyZMnCQwMpGfPnq1qqykkJCSwdevW\nRgvEJNovUmTbepDJZKxZs4YhQ4Ywe/ZsSkpKiIyM5MEHH6yVtiCXyzl//jwjR47E3d3dpHNcvHiR\nAwcO8NBDD1llsWN5eTm2trb1pjdW553fnQ6TmprKxo0bmTp1KqNGjWoVO+9EFEXy8/ONjmpLSEjt\n2u9xrly5QkFBAVOmTDF5kTaFoqIikpKSGD58uNHRGUEQiIuLIzY2lqeffrpZKiVubm689957bZJb\neHfzHEdHR4YPH463t3e944uKioiKiqJHjx5GO9tqtZodO3bQp0+fVivm7NevH6+//jqdO3c2+jkq\nlYp9+/bRv39/+vXrZ1Z7KioquHTpEkOHDrWaG0UJCXPQtWtXlixZUhMhT0hIICEhAVtbW7p06cKI\nESNwcHAgPj6es2fP4ubmZrJzqdVqcXV1NbsUXHx8PMePH2f+/PkmyyveSUNyhVDXya6mV69efPDB\nBy2uP2ougiBIjrZEvcTExODl5WXS7r/kbN8DPP3001RWVlq8IOPUqVNcuXIFLy+vOh0gG6O4uJjC\nwkLUanWzJQGrdbTLy8txdnZuM01YQRCYNm1ag8c7d+7MwoULTXJiKyoqSE5OxsbGplWVU6ovJNnZ\n2VRWVtKrV69GxxcVFXH9+nUcHBzM7mxfuXKFY8eOYWdnZ5WROQnrRK/XU1lZaVU3aOXl5aSkpDBg\nwICaderO9aDa1tLSUq5du4aHhwf9+/cnPDwcV1fXZslvFhYWUl5ebvaARElJCUVFRW2moNRWjraE\nREOUlZWxZ88efH19TcrLl9JIJIymuLiYpKQkwsPDTco7FEURjUbT4mY9ubm5fP/994SHhzNjxoxa\nxw4ePEhZWRkLFiywKpUPYykpKcHFxaXZygItYdmyZZSVlfGXv/ylyYt1bm4uXl5eZrdTpVIRFxfH\nwIEDpSp+M3C/pJHs3LmT+Ph4lixZ0qRaSGuxf/9+oqOjWbBgAcHBwfWOkclkuLi4kJyczJAhQ1qs\nYqPT6SgrK7NILYixgZzKykq2bNnCAw880CZpHxISrUV10DEwMLDW41KBpIRZ6NSpEyNHjqzX0W6o\nMCclJYUdO3aYpXDHxcUFf3//euXpsrKyyMzMxGAwGDVXdHQ00dHRLbbJXHh6ejbpwCYlJfHzzz+j\nUCjMeu6pU6ca3ckyJiaGs2fPmvX8UBXBGjFihORoS5hEdQt2S0dANRoNJSUlRo0NDw9n7NixjaaR\nde3aFU9PT4YPH17L0c7MzGTLli012td5eXls3LiRvLy8eufRarVERkaSm5vboKOtUCiorKw0yvb6\naOg7efearlKpkMlk93zr98uXL7N3716rLEaVaB0GDRpUx9FuCsnZlmgxJ0+e5N///ne9DVFu3LhB\nfHw8+fn5LT6Pu7s7r7zyCoMHD65z7MUXX+TNN980OuIeGRnJ4cOHW2xTa5KamkpycjKFhYVGP6es\nrIw1a9Y02qwhJCTEqA6ber2eK1euEBsba/T5Lc25c+dYvnw5xcXFQNUFf/fu3aSlpbWxZRKtwYgR\nI3jppZfq1FaYm+3bt/PVV1/VagBTVFREREQE5eXltcb6+PgwadIkOnToQGRkJJs3b240CHDjxg2+\n+OILbt68SWpqKomJieTm5gLUPHbz5s16n5udnc3Zs2e5cOFCvcc1Gg1ff/01q1evZs+ePS1qgnMn\nR48e5T//+U+tdd3T05O3336bRx991CznsFZiY2OJiYmxyuZkEtaLlLNtBRQUFHDp0iXGjRtn8YuG\nJXB2dsbV1bXeyOi0adMYPHiwWZoFVKPX61Gr1bXeK1PTGp5//vkW25GdnU1sbCyiKBIfH8/rr79u\nloYVDfHQQw8xZMgQk4p2ysvLyc7Oxt/fn0GDBrXo/La2tixevNiqGrcolUoUCgVarRao0jGvvrGw\nNjWY4uJiPD0922Wa0/1O79690ev1taK8cXFxnD9/ns6dOzNkyBCioqLo3LkzYWFhNWNu3rxJYWEh\nOp2uwTVKpVJRXl6OWq1m/PjxPPDAAzWFjsOGDaNr1651dvMuX77MgQMHePrpp1mwYEGD62u1FF1e\nXh4xMTGEh4ejUqnIyMhgwoQJza59aWjNb6wQ0txotdo6n0lrsGDBAsrLy5tdfyRxfyLlbFsBhw8f\n5syZM8ydO5cBAwa0yjnj4uJISUlh9uzZRhfVpKWl4e7u3qASR2uxY8cOrl+/zh/+8Ac8PT1rHhdF\nkR9++AEnJyeeeeaZJudpaRfH6tzM4OBgZDIZr7zyikXVYJqLQqHAxcWlzYpKTWXv3r3Y29sb3fRH\nr9fX2tHIyMjA19fXqlJSEhMT2bJlCxMnTmy0Rbi5uF9ytluL6kZfI0eOrCmQVqvVJCUlERwcTGVl\nJZ9//nmdoimtVotOp2syzUWn05GamsquXbuYN28eiYmJCILAzJkz6x0fGxtLREQETz31lFHb2Uql\nksLCQrp168bGjRtJTU2t00CsPg4ePIirqytjx45t8hytzdq1aykoKOCdd95pk1oXYyktLSU/P98k\nUQGJ9okk/WfljBkzBj8/vwaLaSzBtWvXSEpKYsCAAeTl5TFy5MhGI5bl5eVs2LDB5ApcS+Dr60tp\naWm9zpRGozEqlaSoqIjVq1czYsQIJk2a1Cw7Jk2aRO/evenbt2+jTnt+fj4///wz48ePrzcFxhhO\nnjzJpUuXeOGFF2o12aioqGDdunWEhIQ0+DosHYGRy+WsW7eOIUOGtNiRFEWRhIQEk5ztuz/vHj16\ntMgGS1BdTFPdTVCifdGxY0e6d+9eK4KsVqspLS3lyJEjXLlyhXnz5uHn51dzPD4+nsjISBYuXEhA\nQACnTp0iOjq6zncYqiLQer0ejUaDXq8nISGhUWd74MCBDBw40Gj7nZ2dkcvlfPnll8ycOZPw8PA6\njvbly5c5duwYTz/9NL6+vuh0OmJiYnBzc7NKZzsgIIAOHTpY1U5bfRw4cIDk5GRee+21euuNJO4P\nrPuv9D7Bycmp1tajOTEYDPz2229069at1p31o48+SllZGefPnycmJgZvb+8G5dxSU1M5cuQIQ4cO\ntcjWvE6nQxAEo/OtR48eXa88nCAI/OEPfzBqDkEQsLe3b9FC7eTkxAMPPFDvMVEUOXfuHAEBAdjY\n2KBQKJrsotkYlZWVKJXKOkU5er0ehUJRJ2+0NdHr9SiVSlQqVYvnEgSBJUuW3HOpFt7e3rz00ktt\nbYZEM+nYsSMvvPBCrceio6M5efIkffr0wd7ensDAwFppZCqVCoVCwaZNm3j00UdrvsM6na7ec4SE\nhBAcHIwgCGZNu6umOuWqQ4cO9d6QqtXqWvbZ2dnx+uuvm0VO0NQ13hgak2C1JkaOHImPj49JcrCF\nhYWcP3+ecePGSekq9whSGsk9TmFhIStXriQoKIjnnnuuzvHS0lKSkpIYOnRogwvhuXPnOHToUKNS\nVs3FYDCwfPlyXF1dWbRokVnnbkuq3/fu3bvzwgsvoNPpmu3Yx8bGcv78eebNm1evvNmdaRTx8fEE\nBATUSq9pDQwGQ6ulqeTl5aFQKNptS+SLFy/i4+ND9+7dLXYOKY3EfCQlJVFQUICnp2ctDeyKigqu\nXr3KkCFDGkxjWLduHVlZWTXdI1vzeyKXy8nKyiIsLKzm5nX//v3I5XKeeOKJeu2whH16vZ5ly5bh\n6ekp3XBT03jcAAAgAElEQVQaSVRUFMePH2f27NkMGTKkrc2RMBIpjeQ+xtvbm2eeeaZBDVoPDw+G\nDx9OREQEoijW0a+GqjvzkJAQi+QjC4KAl5dXqxbWtAbe3t7MnTu3ppixJRH0goIC8vLyGowcVzva\nMpmM7du3069fPxYuXNjs8zWH1swH37FjBwUFBbz//vtW1czEGEpLSzlw4AD+/v731M3lvcz+/fsp\nKysDYMmSJTURShcXF0aOHNnoc+fOncu1a9dqdKdb83ty5MgR4uPjcXV1JSgoCKjSyS8uLm7QqbaE\nfdVrfGsHAEyhoqKCXbt2MWjQIEJDQ9vaHEaPHo2Pj0+DO6cS7Q8psm3laLVacnNzTWoL2hw+//xz\nRFHk/ffft+h57mfkcjnx8fGEh4ebVNAjiiJKpbJJx1Kv13Py5El69eplsgZoeyIxMZHi4uJ22zgj\nLi4Ob29vi+ZvS5Ft85GRkUFmZiY2NjaMGTOmwRSnzMxM/Pz8rKZYLzs7m4SEBDp06EBwcDBeXl5t\npuBh7chkMtasWcPQoUMZPHgwnTp1krpXSphMY+uu5GxbOZGRkZw9e5Ynnnii2Xe5arUaW1vbJgsg\noXHpJo1GQ0xMDKGhoTXjYmJiiIiI4JlnnjGLg5eYmMjZs2eZM2eOSZEQvV6PIAhGRWbS0tI4efIk\ns2bNatWuc4cOHeLcuXOtqjojcX8iOdutS1JSEps3b2bEiBFGF/a2BsnJyfz8888MHDiwjv61Uqlk\n+/bthIWFGV24feXKFXx9fY0u9FMqlVYpZ3vhwgWOHj3KCy+8UFPUWlhYSGVlJWvWrCEkJIT58+e3\nsZVV79/OnTsJCwszqSBWom1odx0kBUGYLghCgiAIyYIg/KmBMStuH48VBKF5Eg9mprS0lC1btpCZ\nmWm2OR944AFCQ0ObHQXTarWsWLGC9evXNzrO1dW1yVSO+Ph4IiIiOHfuXM1joijW/DREREQEu3fv\nNspemUxGZmYmmzZtqtP1TKvVsnnz5poOhnq9nt27d3Pp0iW++uor1qxZY9Q5srKyyMjIoKCgwKjx\n5mLUqFFMnTqV4OBgVCpVjTZ0NadPn2bfvn11HpeQkLAONBoNarW65vfY2FhWrlyJk5MT/fv3p1+/\nfqjV6gaLIKvRarVGd6RsCT179mT69OmMHTuWkpISli9fzqZNmxBFkfLyctLT042+XhUWFrJ7924O\nHjxo1Pgff/yRTz/9lOTk5Ja8hCY5deoUW7dubfI9v5OUlBQ0Gg23bt2qeczb2xsfHx8GDBhgEcGC\nhIQEtm3bZlI3z7KyMlJSUkhPTze7PRKti9XlbAuCYAt8DUwBsoGLgiDsEUXxxh1jZgK9RVHsIwjC\nCOBboPHkuVYgJyeHxMREsxY/de/evUVz2dra4ufnZ5Z8uZCQEMrLy2vdYQ8ZMqTJAo6kpCQqKyuN\n0rWeOHEieXl5ZGZmotVqa213qlQqUlNTEUWRUaNGUVFRQWxsLCUlJXh6ehqdvztu3DhCQ0NNqg43\nB+7u7owaNQq1Ws2XX36JjY0Nr7/+eo0M2OXLlykuLiYvL49XXnmlVW2TkLhXuHTpEtevX+fxxx83\neyrA6tWrUavVvPvuuwiCQElJCUVFRQA89thj6HQ6vvzySzp16sTLL7/c4Dx79uzh2rVrLF682KLr\nkK2tLSNGjACqdvRKS0uRy+XodDp8fHxYunSp0fUyXl5ezJgxo5a8YUOIokh2djY2NjYWV9NITU1F\nJpOhVquNro0JDg6msLCwpnlQNQ4ODsydO9cSZnLjxo2a/P27z9sQvr6+vPnmm5IiyT2A1aWRCIIw\nCviHKIrTb//+ZwBRFP9zx5jvgGOiKG69/XsCMF4UxVt3zdXq25nZ2dn4+vqaVeKovaNSqTAYDEY7\nwwaDAa1WS4cOHeock8vlODk51eRF5ufn4+LiYtFCuejoaEpKSpgyZYpJknSVlZXs2LGDkJCQWt0b\n9Xo9X3/9NaWlpTz//PM1MlylpaXs2LEDX1/fBvV1G6M1lQ6ag0Kh4LvvvmPAgAHtRrarvXI/p5Hs\n3LmTq1evWsSR3b17NxqNhnHjxhEREcHEiRPx8fGpCQrodDq2bt2Kh4cHDz/8cIPzXL58mRs3bjBv\n3rya5xYWFnLixAnGjx9vsfS2mzdv4uTkhLe3N2q1ut41tpqioiJ++OEHRo4cyfjx400+V3FxMba2\nthbtqgtVuw2VlZVW2VDsTtRqNcXFxUbdrEi0T9qbGkkAcPOO32XACCPGdAVu0cYYe8d6L1G9LdZQ\n0U11dGn9+vUolUpef/31Wk5rZWUlNjY2NQ60jY1NgxeBOx1toMkOaObg/PnzFBcXM27cuEYvTndT\nVlZGcnIyjo6OtZxtW1tb3nzzTeRyec2Og0ajQS6XN1sa69ixY5w5c4ZFixa1ynvSXARBuOc0tCWs\ni9mzZzNp0iSLOHlz5swBqtJHMjIyyMnJqSlej4iIIDo6mkWLFtWoENWHRqMhLy+PnJwc1Gp1zbqZ\nnJzM1atX6dq1q9mc7YqKChwdHWuCP9V1NWlpaWzcuJGHHnqo0ULjlnxXO3Xq1OznmoKDg4PVFKVC\n1Q2XjY1NncBHhw4dJEf7PsYanW1jQyJ3rwLWFaK3cpKTkzl48CBz585tcWHjd999hyiKvPPOO42O\nq3a0srKy0Ol09OrVC4PBwNdff42LiwuLFy9u9PnHjh3j1KlTvPzyy7Vy2Ldv3052djaLFy82SwOG\nu3nqqafqjQI1pZ3t4+PT4BagjY1NrdSe3377jfPnz/Pkk082q62vo6Mjzs7O2Nra1jTTsTZFEjc3\nN6tVu4mPj8fFxaVGIk2i/WJnZ2fxaOrAgQPx8/OrFTm/evUqer2+Vv3Kvn37KCgooF+/fvTp0wdv\nb282btxITk5OHQdx+PDh+Pj41PwNVq8vDRWhX7p0CQ8PD3r16lWvjcXFxaxcuZKwsLA6qRHOzs54\neHg0Gg328vLigw8+MP5NsQDFxcXIZDL69+/fLm7SdTody5cvx8vLq04TJIn7G2t0trOBO72EQKoi\n142N6Xr7sTp8/PHHNf+fMGECEyZMMIeN7R6FQkFJSUmLuhoqlUr27NmDp6enURe36qY6n332GUql\nkr/97W8IgkBgYKBRaSDu7u54eHjUcXoNBkOTRZotob5898OHD3PhwgVeffXVRreqjY3uBAcHU1FR\n0exC2FGjRjFq1CgKCgo4dOhQTTOde407G/iYC7Vazfbt2/Hw8OCtt94y69ytRVRUFFFRUW1tRg33\n4rpbXl5OZWUl3t7eQO1dtTNnzqBUKunXr19NVNtgMJCQkEBlZSVZWVnk5OQwb948unXrhpOTEwsX\nLqwV/bS1ta1xnG/dusX333/Pgw8+SMeOHeusb0qlkn379tG5c2eWLFlSr71OTk4EBATUG0319fVl\n6dKlLX9TLMzhw4dJSEjA09PT6oIH9WFjY0OnTp2sWlNcwnyYsu5aY862HZAITAZygAvAk/UUSL4h\niuJMQRBGAstEUaxTINnWuYPWjF4Pf92gY3SwHY/cnaRjJNnZ2fzwww8MGjSISQ/N4UgszB4Odo34\nQvHx+Xz44X5efbUPs2aNafIcN2/KycsrJzzcutJzzpw5Q3R0NM8991xNgWNjVFRUEBcXx5AhQ0xK\nRTGF0tJSHBwcSE5OxtfXt9Gt7MbIysoiOzubkSNHWlU0KS4ujl27drFw4UKzN3u4evUqLi4u9OzZ\n06zzthX3c862pVi9ejX5+fm89957dQov9+zZQ0xMTK2Of3K5nGXLloGtCwk8zVOTHOnT6RaHDx9m\n3rx5jd5YFxQUsHbtWjy7j2fQkJEMr2ez6/r167i7u5vU2j0jI4OKigqzNm4pLi7G2dnZItrd2dnZ\npKam8uCDD97zdVBJSUVotXpCQ603DbCaI0fS2LIlns8/n0rHjpJmezXtSvpPFEUd8AZwCLgObBVF\n8YYgCK8JgvDa7TEHgDRBEFKAVUD9t/YSDZJVAP/dYcenO5s/R0BAAIsXL2bmzJl8sg0e+wQ2n6g9\nRiYrQ6PRA6BSadmzJ5G9e7M4f16DwdD0Bfnxx39l5Mg15OWVN99QM5CTk4NGo6n5ffTo0SxdutQo\nRxuqWnRHRkYSFxdnEfs0Gg3ffPMNP/30EwMHDmy2o11SUsLOnTuJjIyksLDQzFa2DEdHR1xcXCxy\ns9K/f/97xtGWsAwDBgxg4MCB9f79BQUF4ebmVkt/2sXFhYCAABx8HmTLBT+2nvWkrKyM4uLiJncU\n5XI5lZWVfLC9P2P/LKLXw6VLOej1BjQaPTJZGSEhIUY52hqNHr3eAFQVeG7bto2Kigpksrs3jE1H\nLpezcuVKtm3b1uK56iMgIIBx48bd8442wPjxPzJ8+A8W26E1Jxs2xLFmTQxxcW1eJtdusLrItjm5\nVyMs5uLIFejpW/XTUuIz4ZsD8NET4Ht7B+369QIGDPiWZ58dyBNPhDJz5s8sWzaN1NRili+/wLJl\n03jrrcYVG9evv0JkZCo9enjw17+Ow9nZ/DnZTZGVlcW6desYPHgwjzzySLPmUCgUXLlyhfDwcItE\ngERRrEnpGTduXL1jNBoNp0+fJjQ0tMEiygMHDnDx4kXCw8ObpYgi0TjJycns3buXuXPnWjQ/XIps\ntz47d+6kqKiIF198sY5zuOc8DO9btTY2pQICVSkoe/fu5YfDNvh2fYBxASqee24X//nPZFJSilm7\n9grvvTeKsWO7MXt21S6PVqvl1KlThISE1Nxsq1RaevZcQUhIZ44efY7U1FTKy8vJzc3l/PnzPPXU\nU/Tp06fZr1mn07Fz50569OhBeHh4s+eRgM8/P0NFhZaPPjJd+aW1KS5WERubx8SJUo3LnbQ3NZL7\nnqSkJBwcHGok4SzFlEFNj6kPUYRiBXjdUVsT1h2+WVyVnlKNj48LY8d2Z9Sornh4ONK1qzsBAe5M\nnBhEYmIxY8Y03YL++ecHERWVyb//fYoxY7oxY0bDFwa1Wkd+fgWBgeYtjvL29iY0NJR+/fo1ew43\nNzfGjh1rRqtqIwhCjVJCQ6SlpXHixAnKy8uZPXt2vWMefPBBvLy8GDp0qCXMvO9RqVQoFAqTGltI\ntA/KysooKyurE5nU6WFsKHjelrM2ZmfGxsaGmTNn4ut7mZAQP7Kz1cyY0ZsxY3vQubML168X8umn\nZ9i3L6nG2U5PT+fEiROUlZXVrAW2tjb06OGBr68jMTExDBo0CEEQcHNzo6yszOhOkA1hZ2dnFZ0W\n7wXee290W5tgNJ06OUmOtolYXRrJ/Y7BYGDLli1m3ZYrkMPxeLNNx982gs9zcC4B4tLh0x2g1cHJ\na+A0H1buB7m8ksce28qMGb159dWhjBjRlczMt3nssWDCwnxYsCCEv/zlKLNm/czw4d+jVuvIyVHQ\nufOnvPnmgVrn++c/J7Jhw1ymTq2/6r6al1/eQ1DQchISzJv+4OzszOOPP26USsiVK1fYtWuXSd3M\nWou+ffvyyCOPNFqs1rFjR0aMGFFLZeXWrVukpaU1OndRURGJiYnmMrXdolarG+3IN2DAAP76178S\nHBzcilZJmIu8vDy2bNnCp78qOHY7I6xADpGXdHz1lZqEhF5cv3691vf/uc91+D0PaXmmncve3p4R\nI0bg5uZGv37efPrd0zz0RVcyOgxm4sQeAAwf/nstS+/evZHLQ3nmmWs12/sODracPfsys2cb2LNn\nD9nZv+sI9OrVy+gmMC3lxo0ChgxZxa5dCa1yvob4/vtLfPTRsTa1QeL+RHK225Dy8rp5yDY2NsyZ\nM4dZs2aZPF9qLkz9CI7G1n58ybcw4UOITobYdFh7uLkWV/FAAIR1g84d4Z+/wAc/wukb4OQAnVzB\nzQnkcjUXLmQTEZHCtGkbaxzg8nINS5ce5K23Ijh8OI0TJzLJzJSzdOlBhgxZRWGhkpKS2lG/gAB3\nnnlmALa2jf+5jh3bjQkTetCli+Ua3DRFfHw8cXFxKBSKOsdkMhn5+flNzqFQKGrlh5sLGxsbBg8e\nbHI3sl9//ZUNGzZQUFDAiRMnUKlUdcbs3buXLVu2tFmet0KhqBVRLCkpYcWKFZw/f75V7YiMjOTH\nH39s9OaktRwcCeOJiEihd+8VTJ26gcmTf2qwniQjI4OLV3P4YIMb766pquV46N0kpv2fHalFjsTH\n32Tnzp2cO3cOgD17Etm86jd8ncpxd/59nvVHYeY/NBw8cgaNRoNOp6vZ7Th5MpOlSw+iUKhrnbuD\nHXRyg9TEHP71r5PY2dkwe/bvAQAbGxsCAwOwt7fFxqb2Tva4ceOYMmUK3t6d+deGPD5ddYh9+/Zx\n8uRJc7x9TSKTlRETk8e1a02vf5bkk09O8J//nKKiwvzrq4REY0irfhuRlJTE5s2bmTp1ap2mAne2\nQzeF+Ew4fAVG9YPJd0zx4pSqlI/gQHjkn/BbHIT3gf49mmf7c5OqfgD+9SxMGQjjQsHGBvJ+qnq8\npMQBmexdVq2K5m9/O8bly7ls336d5cvPU1CgpFs3dyordWzePA9/fzdeeWUv5eUawsI688knk6te\nT3w+e/cm8u67o+jQoe6fqkql5f/+7ziPPPIAo0cH8tprw3jttWHNek1qtZoDBw4QEhJSR+nCYDAY\n3YzlscceQ6FQ1JF+0ul0rFu3Dnd390bl5ZRKJStWrKBr1648//zzjZ5LFEWUSiUHDx5k8ODBDert\ntpRJkyZRWlrK9evXiYqKokOHDjUtoKsZO3YsQUFBFm9kUVhYSFFRUa3PKC0tjQ0bNjBhwoSaTnca\njYaysrJ6b3osSVhYGDqdrmZ7/tKlS5w8eZJnnnmmRjJOwvrIyVGQmlpCenoJTk72VFRocHOrm+4x\nfPhwAgICGJYm0stPoLKykrCO0fQM9OCHDU8h6spYv/5Hjh8/zpAhQ/D3dyO4QzKfPRWEt/vvKXA7\nz1QSEdOBIHUM+kqBr746x7BhlXz00bt8//1lNmyIY+rUnsTE5PHMMwMICvKktz/I1sHzz18A4Ouv\nZ/Loo7XXqnfeGcU77/x+PVEqtQgC+Pv74+/vz0efbef/nZjHAL+5/HXoCYYMGUJJiQpPTyf2799P\nSkoKfn5+9OzZk0GDBhl9YyiKYqPr40MP9SIn5118fY1rDW8JysvLmTWrDDc3b1xcrKcJjsT9geRs\n34FarcbOzq5VKp/d3d3x8fGp6RSmVFc5wuND4e9PNG/OOSPh6lfQ764C9ZnDqn4APnkO9l2E6BQI\n7VblIJvK2YQqW5cvgqfGQ5/bClaiKLJ16zWys8t4//3DTJzYnR9/fJSHH+5LWloJSUlFVFRoWbZs\nGgsXhuHm5oCLiwN+fp+Rl1fBgw92Zf/+p2ukhN544wDHj2cyeLAv06fXzdW+eDGH//73NBkZpYwe\n3bQGq1wuR6FQ1FvBX1hYSFxcHAaDoZYjp1ar+eqrr+jatStPPNH0B+Ps7Iyz8+8hrOqLkJ2dHRMn\nTmxST7xad7yp4rn169dTVlbGjBkzuHbtGk5OThZztkNCQoCqG4G7u2FW06tXL4ud/0727NnDzZs3\nWbp0ac0Njbu7O35+frWKPrt06cKf//znVo8iBwUF1frsysvLkcvlNU1JJKyPykodDg62bNu2gAUL\nfqGiQst330Xzxz8+iF6vJz8/n88O+LHrPJz/zIbAwECeDIS4uFuIrt706DWRpU/70KkjQCeGDRtG\nVlYWlZVq0tKKOHHiRby9nWudc+m4WLopLzBuqB/nzimJjCxDLncmJCSBzz6bysKFoRQVqfjooyjK\nytR8+unUmud+++3DzJ3bj82bo0lJ2ceTT/4uN3g3ISEr6dDBjsTENwAYGerCvFvH6emZz6xZs1i1\nKpb33ovk4MGnKS8vR6FQUFpayo0bN7Czs6v3u343oiiycuVKXFxcePHFFxsc5+dn2o6auXFxcWHu\n3HGN9kU4dSqL3y6r2Z3ehx/fan5ASsLypKWl4e/vbxHBAUsgOdu3qaioYMWKFQQFBRnlVLUUX1/f\nWh0TFcoqJ9axAbGNf26Frt7wwuTG5w3rXvWvKELGLQjyhaIyKCmH3v5VFfH/2wH/byv09qsq3KmP\nnWfh812gUsOuv0Lg7fVpdQQs3wulFVBxO9tj17kqbW1HeTpPPrmdsWO74eXlxLFjmfz2WwbTp/dm\n8OBVdOzYAa1Wz9at12qpkCxdOoIPP/yN06dl/N//HefTTx8iIiKF48ercl9zcspZtSqa9etj2blz\nIV26VEVHxo7txrZt8xkxwjid2W3btiGTyXjnnXfIzs5m9+7dzJ8/n169ehEQEMDLL79cJ/poY2OD\nq6urUU137mbNmjVUVlayZMkSBEFgzJimdcUPHjxIRkYG06dPb3ScUqmkrKwMb29vXnrppWZL/TVE\nQkICCQkJzJgxo6agy9nZuU5Eu7UZN24cOTk5tSQXvb29efXVV+uMtYZ0jbFjx3L58mXUanXTgyXa\nhJ9+iuW11/bx0UfjSE5+k08/PcNjjwXz1VfnWb36DDNnlnHT7S1KKzxIz7jJr6f3oVI9wHvvnaRT\nl04U55ciN7zHZ686YG9vy+DBg4mIOM6OHSvYmTiVLhuLkO10rtV/4IHQcE7vGMgA9w689ZaSTp2c\nee+9SC5c2IVO9xH49OVEip5Bc7RMnNOPqKuQVwL93HM5e1aGTFbGL7+k8uSTHXB0dMRgEIlJExjc\n8/cAyk8/xeLm5kBY2O9rw8wZ09FqdnM1Pg2tVkuPHh506+ZCSkosixfPR6VSkZGRQXZ2dq0alR9+\n+AF7e/sGd9usrWV6fQiCwMSJE2t+l1dUFa/eWei/YMGv5N2qQJzxV9Jv2UrOtpWSnJzMzz//zLBh\nw3j44Yfb2hyjaPurkZVgb29Ply5dGpREMxatVtusluFdPCFzDbjWc5NWroKPN0NQl6ad7Wo+21mV\nS739z/DFbjiXCN+/UZVS8uF8GNoLRjbSF+SL3VV52IIA287AO3OqHPhLqZCYDZe/hAFBVXngc/9d\n5WzPtb8EwJIl4cye3Zfffktnxow+HDqUAlTlcXt4dCApqYibN+VcvZpPr16e/OUvY7GxEfjPf07x\n1VcX+OmnWOztbRCEqnO++upeJk7swYUL2RQWKmucbUEQmDcvpI7tGo0eW1uhTo53eHg4AQEBuLq6\notfr0el0GAyGmuPVEW+VSsWhQ4cYMGAAPXv25PXXXzfuTb+L6jtuUxrD9OzZE5VK1WRedY8ePSgo\nKODMmTMMHjzY7Be6+Ph4rl27xvDhw5vd1dIS9O7dm969e7e1GUZjY2PD0qVLrao5kERt5sx5gMTE\nQp57biCBgR355puHEQSB6OhcEhPLefHF7vzlJXB3h9jYQm7dyic0NIzJk4MI7e/HkbOlXNm+Hd+P\ncujduxMBAa4cPGjAxgacxvhRJHZmzqsXmT43nDdvl+Js2nKDK1c7s0GVy1tz9/Lss4MYNKoPfXt5\nACLL98LhK7bAME6ni2w+LpKeL+B+cgNlpSpmzOjFnj1PMHNmH+bM2cLhAh2aLgNY9gq8dVud9B//\niOLmTTnnzy8C4OzZm/Tr502xyyP84+IjBJ5R4moQ+eADZ4qLb6DVzsLFxYXQ0NA6TW90Ol2Df8OC\nIPDKK4vQavX1HrdWRv6xqrj11k9QvZn99dczKS2tZNocWwK82tY+iYYJCAhg0KBB9O/fv61NMRpJ\nZ9uMpKens2HDBqZNm9bsCOCp63AsDv4yv3YnxrMJ4OFSlXdtDEeuwN83VTnYO8/BR5tgUBDELK86\nLq+At3+AJ8bCtHp2IDs+AeVKMADe7lU54Mfj4cPH4dhV+OZ1OBRTJWf10gp4/EEI73CZHTsSWLx4\nGNHROXzxxVkcHW0pKFDVOM729jZotQZsbQX0epHRowM5ffolpk3bQGTk70Vlrq4OlJdXFbHY2gp8\n/PEEFi0aUuNoV6PR6HnooQ2EhXVm5cqHUam09Oq1guDgKl3Z5pCens5PP/3EkCFDGpTIKysrQ6/X\nm60t761bt7C1tWXDhg0EBwc3Gdk2GAykpKSwefNmgoODWbBggVnsqEalUlFUVGRSdzqo6nxXVFSE\njY2NUeotd5OWlsaePXsYM2YMrq6uLZJbtCRZWVn4+/s3O3oeGxtbJ/XFnLQ3ne3ExMLb0eXxTJpk\nuqSYWq2mqKioRTeGqVlKwubG82C3Qn74cjQBAW6UlFSitXXhfCLMHQWjP4BrSXIczqzmatzrbN16\nDbm8nI8/Po1Xv1DkRWXoCm4CYGcnoNPb4OHtSlnYUxhcfTj2LxGdopiH3sgmQEzHZ4Af2YeOsODF\nyXx9bQQhXZS8M2Irmbe0JGS7YC9U8u8/P8y/v83l+5/S6Vh+Dbm8KkDw6qv9eOuvCxk39FOKBr+O\n4OjK6f8JjLr9lbl69RZyeSWHDqUiivCvf53kySfDmP/mPJZ8K+KTE0nc0XMsXjyIjz8eVfO3WC1P\nWf370aNpbNt2nf/976F689gBnnhiG4cOpZKU9AadO7uQkVFKeXkl587tw9fXt9GC/4oKDYIgtHoP\nhaWroUgBm95r1dNK3MNIOtuthKOjI+7u7s1KOajmk21wILoqx3roHQG8USb6HFMG/a6jHdYdRvej\n5k69tBymfQwXksBgqOtsF5bBd0vgD99VpZ+UKKrSSmxt4P11oNFVRcpzS8DbDd54GD5+CmAIo0cH\nEhLyDd7ezigUGqrr00SxKkr+yitDCAry4JNPTlBaqqG8vGp7/fDh2uoN1Y62jQ3o9SJ///sxdu9O\nYPv2hXTr1pEtW+Lx9HRkzJhuXL9egK1t1d+3nZ0N3bt70K1b87W2g4KCeOGFF2qlZhQVFdGpU6ea\n6M6PP/5IeXk5f/rTn1qc419UVMR3331HUFAQOp0O/R1i5cnJyZw+fZqJEyfSrVu3mvPb2NjQp08f\n5syZQ7duTeuVG8uFCxfIzc1l9uzZJjvaAFu2bKG4uBiAl19+2eg5dDodKSkpaDQa5HI5p0+fprS0\nlMncJfgAACAASURBVLfffpuOHc2rm95Srl+/zq+//sqYMWOYPLnxrSa9Xs++ffsIDAysyau9desW\nu3btIigoiOeea94N4b3GtWsFHD+eyblzsmY52wcPHiQ2Ntakv7m7OX7dnsqA4Vy88AN9+nxF1Kln\n+fFid1JyICoeov4NKrWOCpWBTu7O/PGPh9m06SpBQTZ06+tKVp950MsAJTIcs06gzU3HxdmGrl0c\nyChJpNzVh882FjN/aifo6oVC7EJuqQ9JlwegrBCJfGYH148XcrxSj5eXgR2rUrC1hUDX7fz7jy9y\nOt2NHj0m0Ed1gW+/PU9Uki2r3wA8BtFPHsHqLx+vdZ3o378LcnklEyasp3fvTjz33EAefzyY4qQr\n5G3YTZ5N1bql0wm1bvq2b99OWlpaTYfctWuv8PPPV1F2G4vc0IFf/wTRF2/i5+dGjx4eVFZWolTm\n4e5ux9//foz8/Aqio3MoLFTy0Uf2HD2qYvHiL9m1ayFDh9a+GXr55d2sW3eFrl3dyMp6t9HP58iV\nquvIQ4Ob9fHWYcVdmWcGg8iBA8mMG9cdd3fzd6mVuL+RnG0z4ufnh8L3bb49BSvDmjfH8lfguYm1\nHW1zcKc6SV4pXEqpUhF5azb4PAuvTwd356rHRv0R1DrwvH3PYGtb5WDb28IH8+DrfZAvrzpeUlGV\n/z22lxxRUUjnzi74+bny0kuDWLRoKNOmbSQxsQg3N3vKy7V8+200Dz4YSElJlTOdmSnnxRd30VAg\nzGAAFxd7Kiq0REfncvlyLl26uPDUU9vx83MjI+MtBg7sQlCQJ4WFFXh7u3D27Mstfr+6d+9e8/9q\n52ry5Mk1edeDBg2ioqLCLMW07u7uDBgwgF69ejFgwIBax2QyGZmZmfz4449MmjSJwsJC8vPzeeGF\nF+jQoYNRBUymcPXqVXJycpgyZUq9N403btzgt99+Y968efU2xBg7diyZmZk4OTnVe7ysrIyCgoI6\nxZTV7eynTZvGhx9+SGZmJvn5+VbnaEPVFmZISIhRnffKy8uJjY2ltLS0xtn28fFh6tSpzXYK70Ue\neyyYGzf+QN++zdu779evHzqdrqbgvDk8O8WeDo4gix5A5EGRVZuPsCH5BfoZLrH4oWDcDbn461KJ\ndZzBlLf/QPfS49jaCrj5diPO40lslEX09KukwLET/YfNYqD+DCtXRqNUavESr9DDz5b/LhqIs62c\nEYZoCjKvMmmwB6OHK8k3+EDudezt4ddfYfjwbhgMVevfZ58VUlERhdxxJmfTtOQmp/DGG3YoHdWk\nXixFXyxDh4KV/287YzbP43KygXPJtiyeAR07OnL69Et4eTnz6aenWbzkIN1Hj4GOvmAw0DPYj+++\nm821a/kEBLizIsKR5fsX8s8Zv+Hi4sIvv1zjT396kBdfHMR7OxyJz9IwdcZ2oo4kER7uz4ULiygu\nLiYg2Jaz57SsWnUJGxuBJUuGcehQKv7+Y/n222PIZGW8++4hjh//vYAyIiKCiIh4RBG6dfNo8HM5\nd07GF1+cZZ9yKjh2RGmGFhQKhZryck2tos1t266zcOE23n9/VK2CVAkJcyA52yaSm5vL4cOHmTJl\nSr1blhuiIKcYvngZOtzeFcsuqsoNG9Sz9lh5RVXkuEeXqkINqCpidHOqcmhfegicO1QVT17NhNG3\n+2CcTaiKMg+/vUuv1cG20zB96O9dyqpRqavSPqYNrnKaL6fAXzfC/Adh6qAqW1XqKsnAc4lVUepB\nPav+b28HP7wBR2Jhy8kqG8uVENINEm5WRdsPXgIRmPkPEc2hjTg52aFS6Th6NJ0pU3oxcGAXUlKK\nCQzsyPXrVRrM1ZrbDzzgRWioD+vX3yUMfhdvvDGc3bsTCAhw59FHq0I3q1bN5u9//40PPzxKdHQO\nR4+m88MPl1m79hFefNH40Ifm/7N33uFRlfkX/0xN7430Qgok9BZCC6F3EBCwUZQmiIoKLqirruuu\nZV1FxIqIUkSQolKkd5DQE9I76X3SZjKZ9vvjTSEkoVl+uyvnefIkc3PvnTt3Zu497/c933Pq6lAq\nlRQWFvLNN9/Qp0+fRvu4Bri4uODj44OnZ1OARFuR6PcChULBAw880Or/IiMj8fDw4MSJE+Tk5DSm\ni95Y/b4TXLp0idOnT/Pwww9jbW3Nrl27CA4Opnv35udqxowZaDSaNmdnVCoVJSUlrXrEgxiE3GoA\nsHv3blJSUli4cGGzmYOQkBCKi4sJCQlBoVD8R2uz7ezs7jg1z87OjoULF2Jt3fTFlEgkLew+7wM6\ndLh7a0SdTodcLqdDhw73JDm6dCkfMzMZYWGuKOTwyGBgcB/mzPRj8+Yfqa04xLb15zCmR7NnlY6x\n092QSSEto5K4s6mYTPDAxM4kHdcQ5nSVcUEX+Pv55zh1tRxdbT4nT86mf38fnnlmH6tXHyTxqj1q\ntY5ze06DuQ09O5pTlHsdpOUAWFpKcXW14IMPRvHxxyfYuDEJmUzOpk2xjBwPVfpS9pb5M9JWz/Uk\nMBz/AhtPH1JTr5NbY8Pw5ZUc/mIL+PbixQXX8HeoITOzgtdei0SrNVCiMpBbHgKWGdBjMnOmq7l2\nLY9u3dbSsaOcSS+uwICC4cNGcvp0JtOnf0/Xrm4MHuyHQ/JZjCfzOFanwXHIDFy62+EZcZQwj1oO\n5o1E4VvF+ys1VFWp2bcvg5SUMn74IYl583ryyitHuZxqwH4GfDAXHoqEL0960TsyE0scWbduMpcu\n5ePlZYurq7j25JXC3otwcHcp27bF8+zrofSNuv3ge/Xqc2z+No6ffpzRwgWmAWPHbubixXxycpbi\n4GABQGSkL/Pm9eChh/57dMD38d+D/3myHR0dTZ8+fX6z/eXl5ZGRkUFubm6rZPvEPwV5NbtBfjb5\nn6KSnLceXO2bLz8ZD9e/hCEvi2Xxa+D9H+Ht7YJoPz4cnlsHaw/A0TdhcGexrrkCyr8V23x3Eh57\nH5Y9AO/c5Lz09nZ4fQt89QxMDIc+L4Chvifw0FXhKmJpBtEpYtnxa6J58v25TQ2UvYOFtm1QmNCB\nSyTg7SwuhEoZ1BlgSFgdly5bUlSkBkTFOirqawCUSikKRVMFWCYT2u2UlDKSkkpve87Xr79MZWVd\n40URYNSo9ixbdgCNRk9i4lNMmrSFxMSSNi+urSE3N5d169YxcOBAtFotarWajIyMVsn2nDlziI+P\n58yZM/Trd++xuhUVFRw8eJCIiIhm5L0tSKVSQkJCCAkJISVFvEmjRo1qtBdMS0tjy5YtTJw4kU6d\n2p5OuX79OuXl5Y3BGUlJSUgkkhZk28rK6pYyqIiICLp164aFhUWb69wKffr0wcnJqUUF0tHRkQkT\nJtzTPn9vpKamcuHCBcaOHXvXgUDA76bL/rOjsrKSNWvW0KFDhzYHq3q9ka++uszw4e3x82tePTUY\njPTr9yWOjhbk5TUX7rq6uvLee1WUll4ARG/I9etV7PjGiFvYFY6ldocMS+bPVfDC4mD+usySXbsq\nKCqyw+nSx5SW1OI/uT0DB67n00/HMmtWN2pqNAwa5AMKK1D8DDot778fxcU8Oem6rpAXj4dNDt7e\n5vWWg+VotSa8vBTk5Kj5bsN5Fr7xEOiC2Z1wlrKTZ0GnoUpnhkwmwW/wCA4n2UHPByF2LzXqCq7l\nliOVSnjhhYPs2jWdZ/86iWXroTT0QTQXfuL1x69weIAncjmkp+s5ufZrVCfETeSxKYewtlaQUmbF\n1YthdDaegzo1KK0pswxib7IEXNqRV10NDkpkNTnkKe3Y+MnX5OeL8zhvXg+2bYsnIMCezOuFGMvV\nPLHakviYLL4/bI78Sjl6bSHh4Rd49tn99OnjyY4d0zh3Lpd/nOrIxVSQSbuwfYcZvXq2Y8mSLWjS\nOnD2bDbLl/enffuWvv5HThbwyy+5vPiFhi9XtH4/GD48ACcnS0xSJS9tgIcGQSdfaz7/vPUenfu4\nj1+L/3my/VsHSfTo0QMvL682b6DtWumXmz8CrgaD00336XG9ReKigzX43mD9uWiMcCWZUs/pHuwv\nCHznemXD+08ISUcDRvcUbiGPRTVpowFeWAc/RYvksbjr4oISEQJnEsFoEtpsN3tQysHHWSRDbj8r\nqujfHIF3H4fnJsHKb+BwjNBxR3aCkgqo0cKrmyFdpAKz401X+h6ybiTbLi6W5OdXI5FAXZ2Rq1fF\nilKphKKilgmEt0Jhodhnbm4VCQnFdOzogre3HWVlLzYmpf3yy9y72ieAmZkZ9vb22NnZERQU1BiP\nXFpayjfffEO/fv2aNboeOXKE0tJSevTo0czbMzk5GaPReMvKmlqtRqVSkZmZSVxcXL2TyhRAaLYv\nXbpE//79m3l034ygoKAW0gWJRIJUKm3Ucufl5eHm5tZM3pKcnMzVq1extbVtJPiLFy9uVm29G7RG\ntA0GAxUVFS1CbUwmE3v27MHGxobIyMhbVqxzcnLYvn07I0eO/I9qjExJSSEpKYk+ffrcE9m+j98H\nCoUCBweHZjaQN+PgwTTmz9/NrFldWb9+UrP/yWRSXn99MBK5WbPrJghdvaenjpwcA+PGBREa6sI7\n75xBpaql7to1PAfZ8egia1ythbZXo9Hz7LMp2NvXUlogZBGzZnXjwoU8Fi7cw6OPuuDlVczSpRXM\nWzQO88iZBFvm8cknceSnVWIRaERTmomZs4kDB0o5fHgdERFedO3qQEmJqHrL5VICbSoYbH6EYz9c\nhtpqnn55IAWFSh4eO435S/eD0RW5ZxD64jSwc8e3vQu5WSUYjdC1qxt+fvDaDNgXreV6WR66AgWJ\niWXodBAU5Iyfnz07dsRx9OghMvOlVFfrkRhLoJs3sZcv4uDmgEffgcQZpUh1NVgpdNRc249Rb6C2\n93T+/WMNEpfhOLmWU+o2mK+Pl7Bl3RUAfHwdsHSuwtbNnFUrN4DWgEkGfn52WFmJ6lS7dlZ07/4Z\nxcVqlvzrSVxsnTn8zU88tTiV4GAnjh/PIjOznJgME2dKClj0hCPhIdDjBlXavz4Yx1XzYYR2aF40\nOBkHVubQzd9Eamo53bq5cSJBxj+2iWLSp4vu9ZPYNgwGI2+/fZr+/b2JjPT77Z/gPv5r8D9PtgMC\nAm6/EoIM7dq1iy5dutyyQiiRSO7a0/iJNuRfSyeKH4B9rzUt93GBl6c3PR7RXfw0YOHo5vtxsoW/\nPwqBCwRx9neFQ2+IRMncUqG3/tdOQbZPvg2X04Rv945fhAe33ghjRoH9DTzPCFwvFmT9ZDwopNDl\naTE48HKCs0n1bikmE2Rd5NN1StLSyhu3T0goYcuWKTz88HZMJrC0lKNW69uMQb4dXF0tuH69grS0\ncjp2FCOTnTsTmDVrF9u3T2PkyEBMJhOlpZrG6va2bXG88cYJvvtuauM2DThyFSQSZ5YsWdK4bMgQ\nEYtZVVVFTU1Ni1jyBx98kJqamhYm+tu3b8doNPLSSy+1efy7du0iJSWF0aPFm3fjIPDKlSucOXMG\nZ2fnFpXm2yEgIIAVK1YAolq9ZcsW+vfvz7BhwxrXcXV1xdLSslnYyq/RtraGn3/+mQsXLrRoUDMY\nDMTExGBra9tixuBmaDQaVCpVmxKV/y8MGzaMbt264e7u/oc/d3Z2NsXFxW2GlvyZYWFhcVtbzqgo\nf958cwgTJ7buczpg/AAGrTQRp83itYeMjd+RsrIyIiM1qFQ2XLpUQHi4F8HBjiQnl/HoCD2jRp1l\n2rRpnIgfT2oR7I/WUlAqwcpaysqV4ZSU1JGaWsZbbw3jlVf2ceRIMWq1BJUqmwsXtlKbWkWMoY6s\n42ZoKrQMDTvHI2siGTzYlQcf3EpJCYSGurB/fx4qlThWvd7IyuX7qKszoTA3xzhsMTt2bicnroD+\nnbrg41xJaYEdehsfnH3dKcnKJ6uiYXbMET8/UQl6ZZORo7FmuCVKGT+jI5XS/lRfOsAXn49j/vzd\nTJnyPRKFApNXTxg9GFOpyDtAU05554coNzhBdRF+8jSuHzqEUS+mSuVXt6OvqYHy65hFjcEy8zBb\nTqUjlUoxGo1czypnRM9LxB41Uqc1IJUKRyonJ0vmzOnOyZPXOXQoHTc3K6RS8DKkYCXJ4OesWPKN\nBkaPDuTKlQJUKi1UVXDtwDEW6UIZ3FnM+mq1egIDPyQ42Jn0wzOZOnUrIX8pZOvWB/lpdwqvneuL\ni4OCy//SsX17PA4OFmwe2p6vn/Vm+D22vhgMRqTSttOFExNLeOmlIwwZ4s/hw35t7mfLlmukpJTy\n8suD7tuE/o/if55s3ylUKhUpKSlYWVndkmzfjL0XRIPgV8+0TG6MzRTpiuY3WCDfXEFpgN4AP5yD\nQaHg0kahxmiEhR+LtMkvn26Sqrz+rZB/1NZBfhlkFcHo1+H1h2DqW0K6kl0Mafnw6T746bxowuwV\nKJIkXe0gowAc64t2MqmQmsilsOpHqBSFZbR6EWSTXVL/WoxARQHE7uG5xc2PVaczMmPG9nqXEBNq\ntf6Oz2lrCAiwp6hIQ2JiCePGBdefDxNGo6mxufJvfzvO668fx9xcjouLJQ4OFly7VkRBQTUhIc5M\nnLgFHx9b1qwZy/i/i/ehemvL52rXrh0rVqxo0fzY1iBrypQpzfy6b0Z+fj56vZ6wsDC6d+9OcHBw\ns8a/fv364ezs3MLb9m7Rrl07goODmzUf1tXVUV1dzbJly267fWVlJba2ti2WazQa9u7di6urK336\n9GkMubkRvr6+lJaWtmholMvlLFq0qIVFnslkwmAwNFseFBTEihUrWniGnzhxAqlU2mooUEVFBVev\nXqVPnz6/KknMZDKRn5+Pu7t7i5udQqFok2g3eLX/XoEe+/fvJzc3F39//9/MZvJ/BZs3x5KRUc5L\nL7XdP2FuLmflyoFt/t/VHjp46Dl76CKLTmbx2GND+frrq2zZMpW//OVp4vKusWfjEd791xkqK7Q8\nPC+Si7+kMnJkZ6o0Ukb81YS8rhJlRSa62jpGjBvA9z8XkKhygS8O4uVuSU5ONRYWMhwcLHBwkOPQ\npQ+4eSO5vIO5cwPZty+Nhx7rxbhxPpgMUi5erASgtFRDVlZTb4a9kxVKeQ1FhaCrrQUze3r2c6Wb\nv47ly2NwcDGjg0s1IT2rScg2UNKwoa0zBw4I673CMgNPDKqh6PwlEtLyWfeJFKP1GSgpZujQDaSm\nliOXSzH2nIqpRgUyJTh4Q1UxWDuDVA7XfoaiNNLVZfUn2QbcQ9FLJEIiU5FH3vH9YDSARIpRaQFy\nc4J9zTjw41XQCwcqk8mEk5cbnYYNpPPESyQYR4Pue/KupWHj5MCL7+dAQSIEDcDs+ll270mnotpI\nhVEJUjm+XTowKSKDGQ/4kVcKBTkqcqx7UxwTz0svHWbHjgRMJglDpxykNC2duStd2HW0Au+wOBY+\n0ZOPPvyFKZO3IJFI2LjxAfIcLejZ0wOTCX48J2SUbjd95VSqWjZvjuXRR7ugVMoIClpdPyhqPR02\nLMyVrVun0qVL6/eOH35IJCDAgTffPEl8fDGLFvXGyenOpZD/iaiurmPEiA0MHerPG28M+f8+nP8Y\n3PfZvgElJSXY2dndVSjN378TOubdr8DY3k3Lj1+DwStFw+HqBU3LRvwV3pndFDzQgM3H4ZH3BMH9\n8WUY3avlcyXnQkh96OTpt0XDZLUG3GdBdW3zdXsHiimzY9ealnX2FRIRgFBviM+GUT2E1/bsVSBo\nMbjaCmL92WKY/xFU3kr1UVcLB/4Fpj8m0MDJyYKnnw7nr39tXiVNSSll//40XnnlKCpV08n49tvJ\nzJjRmcLCanx9P8DHx47k5CVsOibI9sO3Lrb+Jjhw4ABnz55l6tSpjYS6uLiYU6dOMXjw4N+VRO3Z\ns4cLFy7w2GOPNc7y1NXVsXv3boKCghpDAS5fvsyPP/7IpEmT6Nq1a7N9ZGdns27dOkDIqAIDAwkJ\nCUEqbR4adPXqVY4ePcpDDz1029mf3bt3ExMTw6JFi9qUASQlJbF37140Gg1yuZzly5dTXV3Nvn37\n6NGjB+3bt2fbtm3Ex8czcuRI+vbt2+p+7gTnz59n7969jBkzht69e99+g3qsXbu20aLw90iszMnJ\nobi4+K5nPP7bfLbvBR07riE5uZTS0uXY29/dQOvy5XyCg52wshKDJGfnt9FqDej1Jmpr9URG+uDi\nYsP3O5OF5s5kgJ5TwL0jFKdB9BboMVlUQPITBCnEBGbWSDpGYfLuARe2Yq4tplZThyJiOrKSNGpj\njiCztMHQfRqcXsfQoX6kZ1aSUe2MvNtIHIrOUhZ3FUOdDisrKWq1QRQTnPyRhk9Daaim9siXEDQI\nChLxtbnOQw/B1986kV9sAnUZ1tbC+QkLO9BUMHGqH907ZXL6jA8nGI8WC7oUbSLmihBWS+RKenV3\n5vyFAgjoy7iJHdn9U7Ig14nHkIQNxZR6FqWhEr1LCMaaKijNBL0WuZkcSx8/qoqqMFUUgm83UTlS\nq8DeA7y7wYnP2n4juj8ANWWCgIeOgNIMOLsBiZMPJksnyL6MW2gYhckp4OQHhckgNwepFIm9O6ai\nNBRhUegCBiKN3oix40i4uhvKhdc5Q54GiQSr0liem+fPP5duQF8nnLAiIrywtlZy6FA6MpkEMzM5\nY8cGczm+ihTHMXBxG9byWq5eeoKAAHGNfuutU6xYcZjnn4/gH/8YSt++a+nY0YVNmybf1ecPIDu7\nAh+fD+jZ052NGydTWFj9PyE1KSysJjBwNcOHB7Bjx/Tbb/A/hPs+23eIe9F3r3wQHh0sHEVuRIin\n0GTfKP94fJW4Dt0cyW4yCR/sEE+RzvjOzuZk+72dImL9xD9hzULYeExozA5ehlGvw7heojqdki8I\n9fViCA+GIzFN+3CzbyLa0KT5PngZDlwSftkWZqJqXSQKK8x49w5PgrkNaFR3uPKvQ2mphvffP8uT\nT/bCxUVo8vR6I926fYatrZLTpx+npkbLZ59dJDW1vDFhMjm5FK3WQNeevjz7BUwb0OTu0hYaHD/u\n1N4vLy+PQ4cOMXz48GaV0MjISHx9fZuFvCQnJxMTE4O3tze9eok3u66ujpiYGEJDQ2+p3W4LMTEx\nJCQkMHHiRMzNzSkqKiIhIQEPD49m5LeyspLY2Fjq6uoaybaTkxPt2rWjqKiIt956i5kzZzY2AHt7\ne/Pwww9z7NgxKisr2bp1Kw888ABdunQhJyeHhIQEBg8eTHV1NVVVVXcUTW5jY4Otre0tCWpDJP3o\n0aMbBwqFhYXEx8djZWVF+/btG98bFxeXNvdzJ/D29iYwMBBv7ztMjapHu3btMDc3bxx4mEymFpXx\nmpoaDAZDq7MGt4OXl9d9i8A2sH37NEpK1HdNtE+dus7AgV8xb14PKiu1ODiYM2FCBzZujEGnEzNU\nx49fb9rA3A6MteAWDDotFCSBnQe4h0JBIkpVKnXUDy601ZiSjoOqAApTqDWzhKin0JXnoos5AoBB\nXQWnvwTg6NHMemldKfo4c4pzropqMiZqam4oYKjLMKoKqTWZxPN6dYaCRLKy5XyxToFv5CDyfzgA\nIIg2gF78/uH7TJKT7EiIzwe7n6A8hzg3f+QKKa4uRlQqHVonbyTKcqwUdRzb8CNIHZAUJ2KSKzBd\n+J6ePdtxSR+Jyacn1qiorjODU+vQ15RSjSsmk7hpdPXIxNndmo49B/HRLkBpCRYOSLTlWHkH4qio\nQmWwoTIrE4x6SDiIDAOGWg2UXQdVHgAmVQFUl6NQyihMSCBg7IMUVCtRO/tjo8ukpliFsSwHGzsL\ntLUVUJIpCL62BqydwKjHz9uSvPIU6sqKqfHqyhsf5xDkb0tKUgm2tmYsXtyLRYv21cscFSxc1Jd3\n3joBnp3B2x6UllSXlzJt2jbOnHmCmJhChgzxxzVyAu+dc+HE4E34j5rM3BlN1x6tDsqqhMRSpweP\nW6j1vLxseffd4XTq5EqHDs6tuvGUV8OGo2Im2v7eWmz+cLi5WZOb+9wfHlL0n477le0/ELPehwo1\n7KqX9qbkwbS3wcNRNCBe+Lew2DudAAFuQioCQiby+hboGQBZxVBcCVZmgswfjhGNjkq50GY3JDU2\noJ09dPCE4/G08LL2dxP7u4UCok0oZIBOje7Qp6CtuqfzcbewsJAjlUJNjZ5nngnnrbeGYW4uyNrT\nT+9lzZoL+Pvb8+STPXn++f4ttj916jpTPvWmqFLCw5Etk8MMBgPr16/H2dmZCRMmsHr1apRK5R3F\ntZ86dYorV65QWlrKuHHj6NmzZ4t1tFot5eXltGvXDr1eT2ZmJgEBAY1E7cKFC+zZs4dBgwbh4+PD\nDz/8wIQJEwgMDCQtLY3Tp08zbtw4dDodO3bsYPDgwXTs2DRi2L59O9euXWu01cvOzmb9+vVERUW1\nkGAUFBRgZ2fXotkxOjqaQ4cOMWvWrGZuKXl5eXzxxRd4e3vj5ubG4MGDsbKyYseOHcTGxjJz5szG\nUJ7fssKr0+lazDTl5OTg5uaGQqFAq9VSUlJyR84uvzeio6M5cOAAs2bNakbaV69eTU1NDcuWLftN\nfNnvBH+Gyva9ori4hoUL9zBzZhfmz9+No6MFEyeG8PnnFzEaTXTv3g53b2e2Hq/DkJsE/efwSI98\nNu0tB1sPiDsAnUeBWzD/ml7CuX0n2LYpFgBbWzMhu2vfD1T5olIb/iioy+HyDnD0hfIcGDgPrBxg\n/ztCbtEapHJBSK2dobpBFFI//+jZCXpMgcwLgmj2mgoZ5+HaXrGaT09QmEF+PKhVKJVyJJ4haDPi\nkCjMMA1cAElHkeTFNt0X2vdHWpyAsbJeHtJlPORchZpycY23cwfPzkgd3THaeCA5/SVSTRmGyCVg\n1CM3qtHnJOLk70fp0a1gBKv+U5g1oISP/3lIVLpVeWBmJQYtMgXIlUj0tcjRNQ50mkFpBQozxi15\nFFPCIfb8EC+W+4dD2EjM4nahNciRqUsw1Krp/8hkvnnVjZAnJehrKuDQKrCwhSHPQEUeXNoupFZF\n/QAAIABJREFUSDnw3upJvLZyb2OAWvtZy0g9cQp0tdBZVLYpTkUhg5f/PppXX9yDs4slFeFL0JkU\nELMbFBa4koeZozORA73RuXfl+1NGLCQaTApLSjZJ+CVJhMF9tuju8zPe3QHL14vZ8GV3Xzy/jz8Y\n9yvbd4G9F2D+Gtj4nLDZ+63w1veicrz+WVF5rtPBtlNwJQMslKLxcNRroqFRLoMT12BoF3h4sKie\nbz0lHECKK8HOQtjnWZjBjhVCn11Tr5wwmYS7ibYO1HUiwKagjaJzdsm9EW0AnQFhkaL945rZNBo9\ncrkgpqtWnWPIEH8mTAipfzwaa2sz3nvvLC+8cIjs7CrefnsYZmZNH/EBA3wYdAoKVfDu7Jb7NxqN\nqFQq5HI5EokER0fHO9bi5uTkoFKpmsk1bsbevXuJiYlh7ty5eHp6tnDlCA0Npaqqih49epCcnExV\nVRUZGRkEBgZy9uxZMjIyKC4uRiaTUVRUxLZt24iKimLgQKFJ7dChQ7MIeW9vb1asWNEq+W0tcAaE\nNV9rVpnu7u6MHj0ab2/vZlX74cOH06FDB/z8/DCZTL85mWxN0nVjpdfMzOwPJ9pxcXGUlJQwaFDz\nZia5XI6ZmVmLcxAWFvabBSDdx70hJ6cSR0cLLC0VuLhYsX37NAAiI/1EMI2NGdbWSl599Ri//JLD\nQx19UfQag2uvAib2k/LRs10JsNnITz+nEDynP9FnYzE6BXAoxZkdX4zG06WMmhobdu26DkYrCOwP\nJeng0w0sbUCnxtLDB3XP2UIKYWELciW0HwApos+ktrahr6WeUDv5CslKI9FGLPfoJAh2cbqQr5Rk\niAu/sx+SEc9hSj4NnqHg6IPcwQ39hZ3U1ekhI07sQaeFU2tBIruhACOBtNMYASQyIZvJjxfVZvP6\nGZnaKog/gFEqA7kSk1SBwSABfR1Eb0Jv0w5l2ABKzTzAzBbsPaixD2FHujd0MAkZSNx+QXoxIpMr\nMdRWYXILQleSCdTPiCkswKAHMyukvR7AaO/DvgtluKXecB6UVlBThrasCCoKMABmXYdxOklOlx5f\nYu7VGR8XCfEAmko4tkbsNzgSkk+ApoKVH1xHW1WHpaWMOr2U1CIFBPaDk2th75sgUxAc6sGwaZG8\n+lk6SKQY9CZ0tXVIpVqMXcejLIyjKOU6hI1j47ksZk4FU0UB1XVacPbn8/2iB+piqpCB3opsv/ji\nQaqr61izZmzjstlDRbV89k1BtdnFot/A7H7x+L8G0tuv8r8FnU5HfoMJaCsoqxJBL+W/MYfceEzY\n6am1MOBF6PasqEJLJOILmF8uiLa/G4ztJWSCj/xbbDv+DUjNh4Qc4QRSoRENjIk5MCCUFp3U5dWC\naDvexqVM30pBRdrKmEzW1qfEygF8/1iXBE9Pm8Yo3fBwz8YblMFg4i9/GcDgwb4oFFJWr45mwYLd\ngAgwcHB4i+LiGrb9BU681fr03oULFxg0aBCPPfYYAI8++ihubm5cvnz5tsc1depUli5dekv3mw4d\nOhAaGtrCHq8BlpaWREVFYWdn10iYG6rehYWFjRHtgYGBzJ49G2tr62ZNgXFxcSQkJFBa2uRd3kC0\nDx06xKpVq6ipqbnta2kNEomEPn36tGgUrKurw8HBAYlEwhdffMGaNWvuaf+toaH58I9CRkYGsbGx\nt13v5MmTHDt2DLVa3Wx5jx49WLZsWQv//SFDhjB+/H3/3v8v5ORU0r79h0ybtq3F/+ztzbGxEdeT\nl18eRGzsk7i725Cdks2pv5aTvdWDT5535ZtvviY4WMrl6AV0dq8h8/I1tLU6YlM0WFhY8P77c1m4\ncBBlZRqoLoarP7DlLwqUV7cxxfZrHFO3Euapp31tNCQdY6hsN6/P0BH7Q1fS05/mta9eENVq10Bk\nA2cKou3bU2jEGyHBzNoKuYsn9H0Mzm8RhN5khPxEqCrCpLQCj1CoLoO4n9HnJoPZTfoDqVL4ZXt3\nhdErwSUQuGEmwjlAeHUXp4FXF0GybVzF8Y36iyD7dRqorQSpFBKPimpxYSKBqqOQfhY8wgThLkyh\n4OReCBoANi6gyhHH69cHQ6eJQmZi6Sh02ApzcAoAnUYMRJz9MNp5Q9IxDNeOkJcrpCoKGzs6WSTB\nsY+huhSUVkhcA9DGn4DLO6kpyKO6oIDUIwcJ7e5Hl1FRWIf2RmqoxbsqWswymIy4O0lwdFWiVhvR\nSy1E4ai2gsceDaNvhBcYdCRfy+GzNWfFa5Ip6NvXE46sZrhnBgNDpdgGd+afr/bEpvQKAa56IsPA\nqLTBytaCYWG1DO0Ki8dC1pciyKcB5eUapk3bxuOP/0BQ0GrS08v47rs4Nm++xo2zQi52wpnMpb7v\nPD29nAGDN+I7KYP5H/2ab8V9/NH401W29+/fz8WLF4mIiEAulxMVFdWsOvVoFEzt39xB5E5gMMCs\nD0Sl2MMJZg4Rhd/wesepfa+K5Ma9F2DBKJEeuXwy2FvBD9FinRkDYcNzoq4RsVzosAGsLcTxSICc\nUvEb4HwKdHsG0gpaP6bq+sZGhay+En0HaHDmU8rBzkp4ahva4jv6OsiLv7Md/0YwGIycOfM4RUU1\nrF17iddfP86pU4/zzjun2b8/jZSUJSgUUmbM2M6gQcKYPDa2EJVKy8cfX+DVV1t2RMbHx5Odnc35\n8+exsLBobJCrq6vjxIkT2NnZ3bZBTS6X31Y+0bFjx2ayj1shMDCQp556qpF0z5o1C71e30i+fX19\nee6555ptM3bsWMLDw1t1zqitrUWj0dx18iSIiPbz588zadKkFrrjTZs2UVFRwYoVK7Cysmqzubi4\nuJgff/yx0Wv7dtBqtaxatQpPT08eeeSRuz7me8GPP/6ISqUiODi4VceVBkydOpXq6upbhv/cx38O\nHB0tGD48gKFD/W+7bkaNC8+/OoGnZn/DJ6tPs3at6GRXq9WNn+2XXhqIg4M5r/x1NYVltcT+ZQGd\nO7tx8WIGBoOJ0K5eLH6uBwVZZ7GxkRIVFcH161fw93dg2zvBPPLINebPCmXaNAUgvt/5P2uh43BQ\nWmKQycHBm3YBTrz1Un+6BI2mx4j92Jjp8VCWkHR1v2h+lCuxkBrRdJ4Ojj5weBWSgnhMXt2RlqRg\nzI2HgH7NZSqWTmJa1KAXRFoqhYr64pO5PWgrwcEd4g+KZao8IfcAkEgBkyDn+fFg0InGRnXT4D7+\nUhpIMsE1EAx1UJQCNaVC515Wr4OXyMQ+za0Fca8pg27jQW4Gp4SWHZ1GVOzLc8TgIdhZEOukY+jy\n47lW6g8Rw8DGFfnxD9EXpddrhCtR27hAfjx1BgPxlzOBTPG0FjYUVzf1whQlJaPuMgvML0KHKEg9\nA+lnKXHuwdkzTxAcvJr09HK83MzIqnaCmlKmT++Ed5AHn2d0w0Un7pNdu5izXFbIhHFhhHhBZrEN\n57ce4ue3YviX+Xzee84dn5taSuLiitm2LR4LCzkGg4mOHT9m6dK+LFnSp1Xrv4oa0NRBTEwhp4+n\n4TfAkwGht/8838d/Dv50ZDs4OJjMzEzOnz+PwWCgf//+LW6sd0u0QbiB7DgrJCBVGpHqWKCCyi1C\n7qHViUaHhGw4X1+x3vULLPpUJDOaKcQIWF4/07xjhYh4//cuiMmAfz0Oa/bA1QxRg9DpBQmOyWw6\nBgul+EI2oIufsPZrINqWStHIGZ9969ciQVTciytuQ9Rlf/wcltEo7JTCwiA1tQwPDxtsbJSN1e6f\nf05l9uxuHDz4WOM2J0/OITx8La+9doxnnw3Hzq55Q1V0dDRZWVlMmzatmTOIUqlkzpw592Qpt2fP\nHhISEnjyySfviZRdvnyZa9euMWnSJNRq9S3dPUwmE+vWrcPS0pKHHnqo1XXGjRvHmDFjGsl6QUEB\nbm5ud+TpmpWVRUZGBmVlZS3Idr9+/aiurkYul9+SFJeVlZGTk0N+fv4dkW2pVIqjoyMKhYLPPvuM\nUaNG4evre9vtfg0mTJhAdXX1LYk2iEbqG5upMzIyKC0tbWx0vY//LFhaKti9+2FUKhXr168nIiKC\nkJCWvttZRTDuDeji58fHH49hzJimAKlFixY1+sDb29tz7VoR5WUaXnghgk6dRMBZeLg1S56V8m3h\nY2yJVzDcagPPPSdj8eLeLF4sBvA6nY4HH6wC4oAmq89z32xAnmePtOcUujnlMy3SguefdyU/P5/0\n9BgemuzHtx/tIWJ2V4KCbMnPz6D7wDACQ/vw+ic5aCoUYNBhMrOD2D2gUwtyLJODpR2oTUKL7N4B\nQofBqXX4ZmwgK6tKaMNBaLy7TAfXINCqIfeaaDg0GaCqSBRX0s40P2kW9mJ7uVmjpR8mA2gqoNc0\nOLNePC5IEvpvEJrt6lJIOSnIvK4WvLqKhk5zO3D0FjKc4nQ4vQ78+4JUJpZ1HgNIoDxXyEIubhcD\nBkCjkxA5fQzHthwSFoTmEvE6DHowGTDpdOh6TEfyy7eYyvNQ1+jhyi6oKsbdx5kipQKD0opfjsZz\nNWM8CktLDIYysmISmD+/AwMHdsXHx57Zs3fRf7KCj/82gC7+4OK6i5Ley3jnmA6vhM95880hdH40\nmPQ8Het/cWBwNMy6SQbSr583PXq4ExTkyF/+MoCxYzfj6WmDp2frTdRRL4nZ7YJvOnD16kJCQ134\nHcyPfndUa8TbZXnrS+xtodMLCW7voNuv+5+C/8K369fBYDCg04ku7UceeeS2N9Y7QWqeaFJM/ESM\nQFU1Qp9VoBKBMOYKGNRJVLGvZgjCKJXCkC6iuv1IJHTxhy/2w/S3hbxDqxeWew0zSku/EJptqURU\nn9V1TX/LJMIz+1xK0zH16wDt3QTZboC6roloD+0smiNTC8DGDKq0YpRuoRSNl5uOi/VuWRGXSIQO\nryDhV5/DO4Veb2TfvhRGjw5i3ryezJsnGhH9/Oyprq5jwYLdzJ7dXFfj62vPl19OICensgXRBnjg\ngQdQqVStkrl7dYJoSHY0Go18+eWX2NvbNyZG3ojz588THx/PtGnTmjUrZmVlkZ6ezocffoher2fi\nxIl069YyecFoNCKRSFCr1dyuKa2BaEdHR7Nv3747tssbPnw4vXv3bhGEo9PpWiWYRUVFKJXKZpZ+\nISEhPP3007dM+7sRCoWCuXPnEhMTw86dOykpKbknsr1z504KCwuZO3fubWcebgz9uRvs37+fwsJC\nQkJC7ihhMjU1laqqqru287uPO0NhubjORXVpvrysrIysrCy8vLxaJds+LuIaHZMpoWxAb278uBkM\nBjZs2EBBQRFz5izigw9G8cIL/ZrFhXfp0oUVL7pz+QMF7d3BTmLXbKB+8eJFHBwckEqlZGdn8/XX\nXzNr1iwAnJ0rMTmKgfKZT9shk4nZqRMnTpCYmMgbz84itONMdp8ux8Y8hhdfDOXZXcMpSLclZZcT\n/3xjD5lWjqQYTOQY/XG20lEdMp6ajCQkQf2QHP8Eo75WSFwKEqGmlML6yoxMasRgkoFcIZw8DDq4\nflEQ3wGPQ/R3QmdtYYtEJsNGWkVlZZ2oUGtUzZ2oQkdA5nkhRTGzEmS/XQewdQOXACi9LuQnXRcK\nqcjhD4WsJOEAqCsAE+hcxLLSDLFtXbUg9EoLSDoG+UJ7joMnaKvR18/1mszsOXZBIyrm1aVgZi+a\nO0OGiIGDXy8MFSViGrrXdKgpxbIyBYmNOQ9N8ODfy9cDoJHKGbMgnrxCUSSRSKV8/nkix2PVLJ0t\nJDmqtCQmPKrFs1Moejt/uH6JquoSEjJLmDx5K1u2TOGlpZ0plemYMajlPUcqlXDx4vzGx7m5z7VY\n50aM6SVyMswVtOnZ/Udg/forfP99PBs3Tr5rFyCTCTosAhsLSPj41x3Hm1uFacR3y4Wz2H8D/nRk\n+8KFC1RWVrZIuvs1eOCfomJdvJHG6aKBYbBsHYx8FRysoOxb+PcTQrMdkylGqZfS4ZckGNNTOJPM\nb0Xu2kCoTSYRtX42qel/DZIPZ1uIThGjRXV9ceF8iohlh6bq9I2V78OxTfZ/VfXbyKTw9bMw6R/i\npqO6nbzXWH9B/J0hkYioYoPBRGmpmjFjNrN//yOMGNFUIV2xYgB6vREvL1EZyM2tZPToTeTkVLJl\ny1RGjWpPZWVlq/u3s7NrEcZyMyoqKm67zo0YM2YMY8aMwWAwUFlZ2WZzXHZ2NllZWezfv59Jk5ri\npMeNG0d4eHijv3VdXV2LbbOysvjmm28YNWoUTz31FLW1tRQUFLTZ/NiA1FQxArtTP3mZTNaCaDek\nVd48CKirq+Pzzz/H3t6ep556irVr1yKXy5k9e/Y9+Yl36dIFPz+/e7LNAzH9r9FobjsQ+TUYP348\n5eXldxzlvmPHDjQaDXq9/q48ve/jzrDwEzFreOl96H5DjHdAQABLlixpc8AnkcDjw2DVT5BzQy/e\nwYMHOXfuHE5OTuzaZeTNNz8mNvZJQkKcSU4uJTe3kpqaOD49YEGN0Zkxnl+yeM4ibGya0mlVKhW7\nd+/Gw8ODJUuW8Nlnn1FVJVycKioqePHFPngcjyU3v5yXPvbA1bsrz02CoUOHEhQURECAL28dhZpa\nP6j1Zz4X0cQeRoEjOk0nvvhCNHxWVlaye3cWjz66A6VFABKvrvSRbafSR01trT2Zmcm4y/JQyUXB\nacqUjuRY9+Dc1p+Q1RRiOrMOo06HRddh2NgokRYcoqAiVwSFWZWjkeqpqTGKSnZwlNBcFyYQEuxI\ndm4V6vYR4OAF0ZuFO4pJB5oqsPOE8EeELOT01xBb75pSWwm9ZwhbxTo1HHofilPFj1QGVo7QZYJw\nEcmJFdISEHrwoIEQNgoyfhEkvOs4sd+qQpDIxQDBu7vQtQcOgJJUUJpDxEwRzFNTitagxlBVzqrV\n55Fb26GvrqC2Vk/ewW0o3Nujk8oxGfVIfbuTad2XFz6KATNr4uzGQEY0WRc2iuPu2wez9CN07eNB\ndHQemzbF8tNPyVg62HH1bD8yLscTPnUsh36pZLhXOm+/Pbzxs7FkyV42boxh9+6H6d/fp3H5Q+/C\nmQT49IkqnhkpxcbOip8vCTthuQyq1OJ+f2PwzlvfQ0C734+AHjiQxt69KeTmVt412ZZIhCWx9b1n\njzVieDfBn3rdpbvL/yf+dGR70qRJlJeX4+XlRW4p9H5eeFi+Neve9/nCJEGe7W9SC+w+L357Ookv\nxvg+ghgHLxTkugFDX4GML279HDpD09SLVAo/vCQaJwEKK8TvBkGAgxWU30CU5TJQKkB9U/DNzVVr\nNwd4aYP4u4Fom8uhsUkeEbqjb9BwVxWJKcDfETKZKEQ02EKJREo4fDiDBQv28MknYxk1KhCFQsbf\n/hYFwLffxrJ/fxqxsUXitahqG2+Yc+bMwdvbm3379uHs7Nyq88bNOHfuHD///HOzUJoGFBcXs2HD\nBgYMGNDqvmQyGc8880ybco0JEyaQnZ1NXFwc48aNa6y+1tbW4uLiwrJly8jJyWm16iqXy7GwsECp\nVCKRSNi9ezfx8fEsWLCgkXDn5+cjlUqbyVDCw8Oxtra+q6TUm2Fubo6trW0LP3CFQkGfPn0aByZ6\n/e2TQ6urq7GwsKC6uppt27bRu3fvZsE690q0QcxeteZ9/VuhvLyc/Pz8u4pTj4yMbOwFuI/fHvNG\nCDvVmxN9gTabkxvw3hPwt0earrU5JbAvMRAv6xQGDBjAxYtnMRg0bN36NT16DGPcuF0A2NrKkEQt\noNrkwOiAU0il0mafOXt7eyZOnNgoP5o3bx4AsbGx7Nixg7Fjx/L24kDWr1/Pu9FRFBwWvT3Ozs6Y\nm5tjNBpZs1DG8ndTKYq7xNWrzpTHxiKVStBoOgCQX1xNcaWUmppSHB0tKMUMkHIu0YNJHeIJDm5H\nePgIevf2wNvbDoPBiEwmxX9aAWjV2Dsq0esMaKQyrMMiCHDWMsXHyLK/5qLVq5kwoy9r3q3Xcvt1\nh/bhKEviqKssIul0upCRSO2hOEPcFyRSCH9YVJf9emFeHIuyLJlK727QdayogOddE7puO3fBxiIX\nClvAqiJRDT+/Bc58JSrdl3eICrdtO6gsgKNroP8TwmHEZISMc2DrKtxHDHViXY+OEP2tkJNUF4ke\no8GLRHXcaMBg7wWUY6jTAfXFhwHzwMYZXWUhlnYxqKvrMOp0aGOPoVWYC2mNVI7E3BpTnRqJVMLj\nE2zY6r2cK0e/pEsXV157bTCnzuRSXlnH15+fAU0FZ1Wp6Lx6cW37Fk6evM7x47NRKGR88skFDAYT\nVzMlbNl3kZ8uW3Hqq/aAgpIqI2MGr8Hb05LpK+fxr90WPNwpk03/8GPoK8IkIW+96Osqq4KVG0wo\nteVc6naJt94adg/fnltj7doJ/O1vUQQG3vp71Ba2r/htjqN/KPwY+tvs64/Cn45s29jYNFagjEah\npdbpxSjycjpc/kBorO8GN+ux8stgziqoqhXV4/BgiHoZUnIFoc0ubrmPF9fDkrGwek/TMjsL4TwC\nghgr6t8tCYJo+7tBZqEYKVbVCpkJCC9vaKqKa+rE9JOi3osbwEoJNXXg6yJGx8WVkFXYrCcdaPlY\nEG0T1FQ0SwZrIMXQ0uv718BgEJpLrVaPhYUctVrPhx+OwtXVinfeOUNubstq9bvvnuHKlQLOn59L\nhw7OVFaWcvZsIr6+vtjb21NbW8vFixcb48cBjhw5wuXLl3niiSeaVb7S09Oxs7PD3d291Ru1Xq9H\nrVZTW9v2oOPmpMUb0VD11el0JCQkEB0dTW1tLWVlZQQHBzN9+vQ2HU48PT154YUXGh+HhoYilUqb\nVZC/+uorDAYDw4YNIyIiAoD27ds3i3S/F/j6+rJ06dIWyyUSCSNGjGh8fDuP8qKiIj799FO6detG\nz549ycvLo6CgoEWK5a/B70W0AY4ePUpsbCwODg5tntPS0lIsLS0bZULh4eGEh4f/bsf0Z8eYXuLn\nXmF1Q+XtnR2w+qA/E/osoqsR1q7tzJdffllv9ZmNvb0ZKpWWykoD3nUlfP+6gmG9FwNCwhQfX4u3\ndygzZ3YlIKAj8+f/xKRJHZgxQwx0HR0dcXd3x9nZmaSkJCoqKnhnehoePmFYmTf/fkwdOoo5BzZh\naSFj5858Fi/uzd/+FoWjowUlJSUMfq6M1MpAloRd4ezZB/Dw9OfLH4rZ+nURl+WPseuLo0xOjWXy\n5I5kFICVuRRXe9j1ipynS/345VQGvr52nDnzBKcTtDz4fBLnfyyEIU8hzbnEmpOOIJVhpjCgzY3F\nyc2Gqiot+PZEWXCFdl6OXPeNQu7mhz71vEiZdPLH0t2XMT20fH++M7W5afSJDOL8wc2YKouwDuqC\nnY2JIgsF+twETB7dxI1ZYQa5caIZs8MQ0ZAZf0AQ8LARQgOedgaZpghDWRYknwRMSB3bYdRpRFNl\nl/GCtHceK2Ql1UWARMhMzO0EKa8SBRkKk8EtRAwQSjLAwQOplR1qm6GQeEQ0mTr6QNJxwATHPsYk\nkYKTL6bqUr78sRqcnZFb2aOqyCUtrYzpD3bg088uieq/0hJd0llIv4ROqyc6OpdPt5Xy9t9+xhA0\nhPbdgln8nSv2RjNUMlf6RXyKu7Octe/MZVF8GIEhFvT1q0GSk4R1QBXgx/BuYibdQgmZmSocHMzZ\nutTEnId3kO92+4C+i6mir0txFyzQ0lJxz0T7z44/Hdm+Ed4uULpJ/P3AP6BW15Jc3i1OXoOZH0Bm\n/XdYIoHkPBjQEUorRRNOVGdBwgtUQlNtMMK3J2Fwp6ZwGhDx72kFwvKvoxccru8vsVBCsCeYySGj\nUBBtADvLJqINgmj3ChTP8dAgMbXasO+aelVC1g3Ev7XXbmz1hEgw05c3uKICTUQbfjuiPXiwLydO\nXGf58n6MHh2EhYWckhI1AQEOvP/+L9jbm7N58zWeeKJ5VXHbtgfJz6+mVy/hv7xnz0kSExOZM2dO\nY5V0wYIFWFhYUF5ejp2dHSqViurqag4fPtyorc7IyGDDhg1069aN+fPnczPy8vKwsLBg5cqVtyTU\nt0NDhTM6OpqcnBxADApvl2bY0KzVgLCwMMLCwtDr9Wg0wpIsIiKCkydPkpGRQUREBPHx8bRr1+62\nFb7bIS8vD61W26bOuaysDKlUeluNtpWVFR4eHkilUtzd3XnuuefuKT3z/wsDBgzA1dW1TT15ZWUl\nH3/8Mb6+vsycOfMPPrr7+LVYOgG0dXo+PyDHaIKhXUWPx6VLlxg0aBBffFHC+fO59F04n2MpToxc\nep0rn+roFOZMamoqq1bVUlyczIQJIWRnV/Ddd3EYjaZGsu3p6dl4bTE3Nyc4OJihfVywtzdQVFSL\nlZUVXl5eeHh4cO3aZaytoarKQGKiiogIHY6OYgCn1+vp5pGPnY0tafHW5Jfa8O+DcuaOcEFhFcmi\ntY5ETZPw5FQ1NbUQ9pQJN3sTI3tImdTHiTEjfJn/eGcGDPBh6NBviIsvxRD1NE+OtST62lUu5iZA\nQDiYjAwZAlevyihLiydg/AwSS+xo523Ntvc8CF9Sgl5hCz0f5L2ZWl5+6yJqVQXJehskknDMOg8l\nusIGnMogJAqL0nO8+2IQS5/5hMKCKrj0U32CZr0DgEQmiLZvT1Gp1lSAvadoekw/i9HCEZJ+AokE\nRwczysoKwN4LOgyFpKOi2u3SHjtjERU2rkKPfmS12FePB4Ru/Nwm4dtdVQKacqFXd22PUSIFW1uR\n2Fl2XZB0TXnTh8MtBHpPEzc8iQSMBvRlJVyvqmDt5kzyVHKIfBKuXwGjDll+DH272nH6NAwYHMgb\nW6E4LRdLyyKksmRGTX2cx4c4svzlY+RmF+Pl5sGDA2B2yHiSbGHKCFD1FYYAAG/WewAUFFQTEvIR\n/ft7c+TILAbEzmHrGSmVarCtv5TW1NSxc2cikyd3xNJSwfYzMHXWYczyzhMfu6Axjj4lpRSNRv+7\n6cJVKhVlZWW3tMj9X8WfmmzfiJ0r7227mAwhIZncT1TIh7wiGhwbqru+LhDmI7yzV/03/I6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bvNZsNisfDdd9+xcOFC7HY7kyZN4o477mDJkiUUFRUxbdq0xqrhnXfeyZgxY274tV6N30Jqf08U\nFBQwd+5cdu7ceUNjV65c2Wg5eXk1IjU1lZ9++qnR7/9K1NfXYzQasdvtVFZWsn///htydLmNG4Ov\nry+jRo2iV69ejd/PDh38mfqwggEPfsqOs3WUVfpTrg9h8uTJjfKf1atXM3fuXCorK1mxp47NJ2VM\nfaMa175niWn/KT/+eJxTp5rIYnJyMp06DcDphP0HcnlloZ6Ue7ey5296PputISjIRkyMkpVHFXy8\nDjbuL+HkyVx69Qpm6NBoHhxqIzBrEeryVHbuvERCwmesXp3euP/S0lLef/99FixYwAcffEBVlaTx\nM5uLyMjYzr59+yS/e5kZldyG1SFn5mdStfJQWS9W5YzjRHmTEXnVmYNkr/2BgEEnCe7QgU8/HUVG\nRiXnzzc19QwZEsWwYZHMndsLLy8NmzZl8t3TTgYF7SIzM5NNm7Jwd3+PMQ/t4d4225kctBZ1v8nY\n+z1KZEw8kydPJtBfR1CoL/vyfJk6OwUPfz+e39EJe1QfVCo5sbHeREd7sWdPHudSy3hpvJ2UIQEo\ntC6s3lGFSudHSps8qJJuYO+9N5RT5yaycruThKFvEhi/A29vDSqVnIryOkZ3MVFZY6dDqJ3g6BA2\nVyfx5uuDeGjOBMg7ipC5g6HxX/DZrGo2vGxH7xIpeYQrVJIspDIXNB7Qph/gIFDnpEvfdjhQg9oV\nWURn8I9F6+MHfadJmnBznTQ+vCtmoxk8AvDWmMBUR215DXUOV0CEwlQWf7EPXVi45NjidJCu6Q/D\n/wq1ZWCuReam43yhgo9X6Em3xhA2+Wk27tVjrixHrwyiMm4inYYPZu4q+Gor9GwruZ6t+GwNwSEf\nSlX8BlitDu6++0fefnvvNb8ff/kS3t/ixV+f3UFmZiVWqyQRHdEVFj8hTapycmo4fLiQEyeKb/br\n9z+N2zKSG4QowvSPwcsNJjR4WE4eAPvSYEJfKbTmpQnw+Wa442UI95U+oFabNAbgziQI9YUJ70qJ\nkVnFEmEHCPGWCK5cBmV6ePgTmLtKIuJ3dISdZyQ5SHYpPDofskvg0ZEQ5C1VuAEGtodfzoFDhNRc\niXyfuiT5d/dsC/NnStv2nIOFs6G4Bh75BIK8JN352iNSFX3GJ1ID5qoXpYbO3s9KJFtAkqlcqpO0\nVhIHEhAEcHVVYbdL1azx4+NZsyaj8e/WcKV7yZWorDRhMpURFOSGXC4jP19PVlYVY8Ys5cCBh3B1\nVeHr69LYJGK1Oti3L5/YOFeWp/+MH/cTyhwu8ih69hFMFWpCqGI9ebxEAA8TzJN4MhBPdjX+3xq2\nksfL+PEATucEbDYbDoeDzp07txomczVOnDjBhg0bmDp1KlFRUcycOZPjx4+zePFiJkyYcEujvYOC\ngggJCcHDw4OsrCxMJhMdO3ZEpVIxZcqURuKclJSEl5cXLi4uVFZWUl5ezpo1awAa5S9BQUHN4t1L\nS0tZtmwZgwYNIiwsjD179hAREUFsrBTVtWDBAgwGAwMGDMBkMjXG1MfFxZGTk0NkZGQz//rfYi+4\nadMmzp8/z8yZM//jItFdXV2vOZG6Gunp6aSmphIfH0/79u0JDg5mxowZXLhwAZPJ1KrP+fDhwxk6\ndChyuZy1a9dy8uRJampqyMjIYOrUqdfVh9/GjeHqIKYOHfz54ItQCvmeMT3vZtKru3h8FPS+oufV\n09MTnU7HihUrGOxexUP3DuKN17IwpV3iIuDlAk89dUfjeK1Wy+jRnfn22wx6Do1l/nlPcI+jvl6q\niAwY4IJW62DJD4sJ06ip1VSz+Cc7fn4VbNt2HwaDlen3riYmxpuUu7uTlWMiIaGpsu10OrHZbLi5\nuaHX6zl37hz9+/cnKiqKLl260L59e/bu3cvDMecYO24qjy+JonO0NGn98wgNFgfc079ppWv9p3E8\n+kwlRX7R+DUsqJw8+Ugzf/rRo+MwGk+yYcMeDh6EgwfzsVjOkpqaSlhYGDExQ9C4aTmr78Hwnhqm\n9rOxdOhGwmND8HRt8pX+x1Tp3ji8Cxw6WYPJqMHDy4MePYIZPrwNr7wykC++OEZOTg3/2hPA8jPV\nULuXaMcZlj0bwffflLDeYSUiwpPRo+MQ/T+hkB/JyXSnS1sd7dq1w2Cwsn//g7i6qhjzdgF6vOnZ\nvi1FlzQIFj1vTvflh/2DGD/pPE///TN8kbP3h7swnN4DUUko1Spsadskr+/2I1CFxRLhUoChooJX\nZyax+kwtuel5yHIOoQ6KwVRZATIFI/48nl2nrFitTvooD7A/G8K6JLLwrViendOXU1v3SamaSZMh\nNJGCfYchfhh4GcCol6wLZQoYOhsEAdFuxmoysfWbrXDoAuqAB4js24+M5VkoDYX8bbJA0ZF9zOge\nyksTI/H1kAp4g74E7VU5GXV1FjZsyKKszMgLL/Rv9bux4nk4k1aLbspdzJt3mCVLzpCa+igREbpG\n17XQodHk5T15zbTL22gdt8n2DUIQoFdcc0P2ewZIP5cR5idprNVKeGqs1Jzw0Mew86wk63gsWSK1\n/RMkTdXE96CyDl6eCO+shBeXSPKNlB5SXLtKCWsPS/Y8XaPho7UQ4S9Vz4d0knRXBYukqnWATnr8\nl1SoqJM8tXPKJNvBcD9pqa9rDJgs4H6PRPpzvoZ7GiYOpdWSJGVIJ0nyIpfBlA9g60npdwH4emkl\n79WWkfu0GplcRreugVRXm/DxcWHq1ERmz96MXC5j+/ZslEoZdnvr8ZOCAN99N4433tjD+fMVaLUK\nLBY7Go2SJ55IoqrKxKJFJ9mwYTJbtlzkhx/OUlZmxGZzMHRoNKWlkt2diIOdxbsoyVdjOPUW7bgb\nNZJeOZL3sVPZ+LcH/fFjCt6MbvWY3OiOAj8c6ImOjuall166qYqqUqlErVY3C68pKCggLy8Po9F4\nXdJYWVmJxWIhODj4mmMqKipYvnw5drudP//5z41+34sXL0av15OQkMDy5cspKSlh0qRJmM1mEhMT\nG10ynnvuucamS09Pz2aNiGVlZWRlZREcHIzNZqO2thaDwYC3tzdTpkxp1sgSGhqKwWCgR48ezc6P\nr68vU6ZMITc3l/Xr1zN06NDfFHMP0grB5Z9bCYPBQFpaGp07d77hQJ+r4eXlxSOPPHJDYwcOHEhM\nTEwLp5Jfi6u//Bnq378/SqWSoqIi6uvrb1e4fwekpqaybds2Jt4zgbjgJPLM8WQWSSuVjybD3LkH\n2LXrEs8/34977+3NyZMHOZ5TyLvf9+LBicGk79Bz+nQlPXvSYlJuMFjZtWs6CpWaBZNEBE8vdu8+\njYdHLfvjAlnpGk7OifZQcBa11Ua3bsfo1i0IPfvJdnucYxfn4C0kM/JtV86Up/Lt8gusKPIhJgjW\n/y2IF154AbvdzrvvvsupU6fo378/Hh4ejStJgwYNIjw8nC4dIjn4ftN3NTpQ8hMHsFjspKQspUuX\nQPZsvrPZ8atUcs6ePUtJSQlDhgxBJpOh1WoZODCEl14aQ2ysL8uWLUWtVpOcnExgYCBrNoxiU6o/\n8qKvOXrUhwPrRjST84Fkf3t3XygrMzK4zyf07h3KJ49Pg8cfbBzzyCPShGjNIRAc0eT7hzCyfxk6\nN5g8OZHVq9OZMaMb8fG+rNval81HUnG3jGPsG+PYt09DQYGeqVNXMXt2T54fVEitczn3vbAFj5qX\nWbR5AKqL0D1WRnzi/fhhwJvRjB8fR2lFCh9+V0rBsYb0OKeDROtuUnfsJFup5M1nk9B5qnBqVBDq\nSe7Gtqw9oWbBpn7oPFXMGg0XjFKxas2LYdTV2Zj2qZphr8KX90fxxN5DmEx2uHCAkX8Kx63DSH5K\nDQHvKDxc89Hv/BR14kAc0QPo6ZdP5ub1VBaWURLojiayA0P6+TNlmJbxB/xJaKPmmTE2PDx2ERbm\nwZd/ewKQwu/eeH8syd3hSiWaj48LWVl/wcPj2t7GfdpBn3ZegBcZGRUEBrqhVrekiWFhtzMCbha3\nyfZNYMUNyE5fbdBTX8aC2fD0nZKOWqWEhHDY84607ecXwWCCkd0kLXVUgFSJ/lMXuKs3fLkZvtwi\njfXzkJoT7x8shS5ciUFXmGWM69PymA6+3/S7Vg0vPGHiVKdCzhFMeyRNTIAXnP3aznPuF7DKbTxE\nIKlnFZSPqKNsYShdIgX0rhbkWjMunmB2OHF1VXL0aBELFoxl1KjvEUWpwae2VqreKJWyxjAagIQE\nX9LSKhBF+PnnNNLTK1AoZLRv78+GDZPR6aTlv3nzDhEc7EFUlBcFBXUUFRk4enQGQUGSlKOGbYAM\nTwYDSsLCfJCHfUkexcQipfLIcaOIj3BixpcJOLESykvXfN9kaBCxYKWQetJxEZpr0fJ4hTqOEM9K\n5Li1eH5iYiLBidnAUUCS2aSkpDB48GDc3d2xWCwt3Ecu47vvvkOv1zNnzhyOHDlCaGhoC4KWk5ND\nRUUFcrm8Gem688470ev12O12evbsSWlpKTt27KC0tJSMjAwGDBiAv79/I/G94447uBr79u3j7Nmz\ngGQf+MILLzSS0auJYUpKCgBbt24lOzubadOmNSPVp06d4tSpUyQkJKBQKMjMzGTQoEG/GpV+JS6n\nb546dQo3NzfatGnzb0tJHA4H3377LeXl5SiVSjp37sz58+dRKpWNVftbDaVS2ao850bh5eWF0Wik\noKCABx544LqTsdv4baivr6euro5RyWuQy5UcPx5P3gKwmwwkLz3C4bJiqjZe4FSyFs15OeMe7kha\ngIjvG1X0HxzGV689Tn19PS+oinjDmcfLQhhWq5WjR/MZMOAHHn7azMRH9Xz1RiH/fCqR5atisdl2\nslrVBktSHOrc7YR7nSOof2d6yepo00YABESnnNKSekLja1Gpj0H+abauC0LonsTlr4IgCFRUVBAW\nFkb//i0rlT4+Pi2SX8tYQjnfEsMC8rIsVFYaOXq0EGfrHq8cPnyYwsJC4uLiOH/+PBcuXMBqtRIX\n54cgCIwYMYK0tDR8fX0pKSnhwM4VdImOJnH8cPz9/a/5mTVwHKv3QcaNj6V7t2s79YztBWOSlGzt\nEta4qpObW8v27Zfw8tIycWJ7UoYNxV0VS8+eIcgagmlOnixm9ep0YmO9ee+9YVRRTS4LqLIZeW2p\ndI+V7sMeQMONXQ29e/rz9BPrAZg+vTMlJYaGSUcGDuDHH0XmzOnH989AVZ1AcICGmSNh5simVYKU\nRnMoGV5eaqYNkYphU++OZsaUlxgzZimXLlWz6kUBuSKEUwM3kXXpOH2HR7GlSFohf+UVgbIyb2J/\nrCUkxIOUlFjmz09peh/zmvIL9u6d3oxAq5Tw8j2tn8+rG3Kvh1dfHcSrrw664fG3cX3cbpD8g1Ch\nh/d/llLBoq9I037yK/hhD5z6CIKbXxcxW+HrrVIUe2ywRMzfvl+yDLwaq6ikDRo60noFdS6F5GPh\ndcL5BwWsp5pJ+GBGJB0TP9CWf1HEQiSNngYBD+SUIRE7BdAeF05Tz98J4xNHMVPx408FGlam5fHM\nyFXI5QJt2/pQUmLAYLASGakjK6vJL3DYsCi2bWuKd+/TJ5S0tArc3VXk5rYMSAGo0eu5dKmaLp0i\nGqUgIiBDgY4RuNMLL5LJ4gGsFNOezQgocWLmNN0BATkeOKgjntWo8ENAjRMTCprPzp2YSWUIImY6\ncRwDx7nEbEJ5mVp2Ucdh2rEOBc0vWPm8Tj3nMJODiIXOnGq2fePGjZw4cYJHHnkEPz9pKfiyw4av\nry/Hjh3DYDCQkJDA/PnziYyM5IEHmkea1tfXs3TpUhITE1tY/c2bNw+Hw8HTTz8NSMT81KlTnD59\nmgEDBjSzDGwNVVVVZGZmUlZWRnx8PG3btr3ueJAawC5cuMDjjz/erGpvMpkoLCwkJiaGH3/8kbS0\nNB588MGbtr4zGAx88MEHAPTp04dhw4b9yjOuD71ez0cffYSnpyePPPIIKpWKN998E61Wy7PPPvtv\n7fv3hMFgoKio6Ibekytxu0GydYiICDQ/LXa7ncGDlyBTmvhixw5yz0VydPVYvlxneyMAACAASURB\nVH1EhUynpPtX1Ry7z5PyV9LxeboNyjANd9eq2eBp4lODjoWrwtkz5Rz2SgU500IY0W0dncQ8FixQ\n8tWx1YSE6HE4YMFHz2NM9aLSWcPGby8x6fFyDu1QUZrvQlT5KDQmB102pzKrXS8efHAXJ0/qWXrh\nFOUZevQ1EUwZ+jdC/CM4Qh3Pk8s/CEd54Bzbtm0jJSWl0R7zM4pZQxVLaIs/zVdwiphHGYtwowfl\n+lPs/GwEjz78Aq6uqlYrmDU1NdTV1ZGVlYXB531CYmyEmb9A56NFRTDr1q1j3rwTZGS4sGnTRPT6\nQsLDw5tJyVqDJPP7hTh+xIWbl5odPVpITIw3Xl7aa445cqSQjh0D0Gik1+XAiBxXfj4g9U21CWr5\nHIfDSY8eXxEdrWPFComxzp17gGef3cbUqYn885/D8fO7tdK2ysp6Cgr0rFhxngULTnL48J8bK8cm\nkw21WtHMXet6cGLBQi5abu56cRu3Bte77t6ubP9BWH1ISiNTKeCNqU2Py2QNMo1W3h6NCh5Pafn4\n1cjHwkvk0REXHiaQDyniXSJIwAUrTsaRQTk2RETu4BymhpbHlVSRiAsFWMjBhEfDx0EDmBExY8cT\nObU4kCNgxokGgSWUYZA7qcPBrIhCsiMceM2OoleBkp3ZJYgmGzabk6ysKtRqGbGxPqSmlpOQ4Edk\npBft2vlQUFBHTY2Zo0eLmnliX41ij6koOxkQ2QFIN0stcVjIpYpVVLGKOo7izTgKeYcC3iOMlxBQ\n4koP1ATjTi+sFJPOWNzpjYACA4dJYCtKmmY4MjQEMhMRqTLvxIKdOpyYiOS9FsdWxxEU+FFPOhby\nieJDZLR0/PD29m6MXb6MBQsWYLPZuO+++5ppSMeNG9cYtQ4SyV62bBmRkZEUFhbi6enZgmxHRUXh\nuEIAHxkZSXh4OO3atSMiIoKFCxei0+maWdBdfXy9evW65nvQGsaNG4fD4WhRsdZqtY3V8OHDh5OY\nmPibPKbd3Nz405/+xKFDh25JrLmHhwczZ87Ezc2t8X2YMGHCb5aT/FFwc3O7aaJ9G63DgZE0RuFK\nZ6L4qPFxhULB1r19KBI/ocqaw5n0Og4e7EabpDByh6kpnBnABJkHn584Sm7PXxixuxf6fDce8H6d\nLTXt+XLFOwQrdPQK3sv7C/7Kfv9+dEozU/+JkuVfxTH5b7l0lE3is6fvRxf5Ab1Sw/ELjMIwqCfT\n/raDg/Ux1JfVUx7uzenRnak0ejD679mo88KxuDnZsy6YihIZlSmbyWAATxFMLXb0lDCyVzfCwsKa\nkdsq7FRix4qTSmx4oOAkBuaQy/PczzAeJY+/odV4cted48jP17Nnzxa8vORMnTq12TnT6XTodDr8\n/PxIt/qicMmnxuUNCpwnUGfNp1+/fixZUkFpaR4//LCCt966vq/+ZYTyIvWM+U1EG6BHj5BfHdOz\nZ/Mx8oZCVGurv41j5DJOnGguE7v//k5UV5t47LEet5xogyTv8PFxoVOnQN54o/nKo1Z7c9enIuZS\nzvfEsAh3bqfU/ifhdmX7FmHNIcmlZHDH1rebrbBsL4xNkposfyu2UoMJB2MbSOIxDNTj4AJm4tBw\nEQvvUMh8oumNO+epZw55BKDgOUKZgKRFu8ztJ+PL91QQiJJybAzGE1dkHMJAKZJbQhRq/FByBAOB\nKCnBhgC4IsOAE1EU8St3UuEjA7lAwiVYFbMWp1OaRMhkAsnJsaxbl4lSKcNkegm73Ymr61v4+bly\n7txjjUloVyOH57Cix50OKPClgNcbjt8VkaYOEDXRWMhGjo5E9reoXjkxk8uLuNMTG+UYOEY08xGx\nI6DiIg+iIYbwhv1fRhUbqWUrYbyOHPeGfdVjo5Q0mmZCWjrQhs9R4o0DI06MKGnZzGZHTwH/IPOQ\nDwe3mGjfvj133333Nd/viooK5s+fj06nw+FwEBMTQ0FBAdOnT7+mLOVKOBwOPv74Y3Q6XQsf8StR\nXV1NUVFRoxb8ZlBVVYVKpcLN7cY+2Hl5eXh4ePyuXqunTp1CpVK1aq93IxBFkZKSEgIDA/+j3FBu\nFLcr2y3hoJ4MJuBKJyJ4q9m2Ur6miH/y1qNdKb84FK+V3WnnrqcEGROJIwszn9YX0HfLBdplFxH2\np+0EhhZicmh59dR7TO+5kB7uR5EJYHYo0MjtVJ5+Ep9OH7HFOYxzslm8TQTPV3zPX33nsoU/8S0P\n4I6MoehYLVbSFRmqC4Fk1pzj4x5/IUOMJYZsstJC+fvdd5Bb5mBK/l301epwdZ4kVvY0PkzCiZFc\nkjBSzmn6MYJwOuBKEVZSOE8yKjyNKsJdX0DAmyl8SWlpKWq1GodDRWDgBwQGCjz9tCtPPdVyhbGc\n7ynne6KZj5ow8s1fknppJYUH7mLGQ48BsGXLdtzdXejT59pM1o6I4orrsoiNPF7FhQ74MflX3z+n\n08nixYvx9vbmzjvv/NXxTf+n5WrGfytq2U0FywnndZS0tIq8jd8Xt6SyLQiCFpgEJDY8zwXJFa4O\nOAz8JIqi89p7+O+F1QZ3vS35Zhctlh4rqICp/4RZyZJ7iUYF065t53zDeJ18arHTE3d2UMuXlFCF\nHRFQI3CCzozGGy8UzKWQhZThjoxirLxLIZPwYSmVuABG4Hsq8EVOBXY64cobhDOGNCoa5CPeKHic\nIJ4hB4CyBgIuAgacyIB2gpZz/k0WQ/YoDYlHBiNzkVOYfJiyHMlbMCjIjdGj2yKXy5DLZezYcT9u\nbqprEm2AIJ7gPCMxsqfxMS0d8OEeCngFAAEVDoyoCMdKHlWsxYexlPAFxXyCPw9gIht3uuLLvRTx\nEVaKKOQDKlmKC12wko9Ac/JqJocKlmLkOH7cTw5/RUCFjWJi+BYZrjgxoqU9JlIp4B9E8QHZPIaR\ns3RgJwp0V+0zk2rWEdjLm/HRYwlx6cL1cPiw5Gfu7e1NcXExBoOB2traZpXsyxBFkeLiYoKCghoJ\nolwuZ/bs2b9KGDdv3kxmZiY6na4xFOdGYLFYmD9/Pj4+PsycObPZtvr6enbu3EmXLl0a91lbW8ui\nRYsICwtrTMa71SgpKWl0XXn++ed/U6PmiRMnWL9+PSNGjKCiogJBEEhOTr7Vh3obvyPMXEKBDgVS\nFLUcFxLY0OrYOg6jsMXjbhnP7Le7s919McmsQIWNSObSn+HoXezoxpRwVOiOxnwGlcLBTuVQ3rzj\nBVbMj0HRM5DEHhVo5Hb2iP347pCZKbpuHAlPIh0js7lEgG8A2xiCouE66gR6U8wBoZpenGTd/kQ6\nuVwg0zeO6MhsPuIvXGzXhqCueURWKHlZGU4y6dwhnCWg3B08t4CqCjv7CaKSc5wmCx0H0ZLNvcST\ny928wsWsTgS0K8RNbmfhtwspLCzE29ubmTMf5bHHupPhfolKuanxfFgp5yIP4kUKFnKwkEMWU4jl\nO8I1M3FohpN0Z5OcbvjwoVef0mY4joHpZPEsIdyHP1arlZ17VhEwZB0WIe+GyXZVVdVNNU7n8Ro1\nbKEda/8nyKcng/Bk0P/3YdxGK7ghsi0IwlAgAdggiuLCq7YJQEfgSUEQdoiiePrWH+Z/NlRKWPKU\nFKd+GbllkjOIr7vknd2n3a35X+8RwVIqeJsCtlPLVPxQAEupwAcFpzGyDz1hqOmLB9uoIR8rYSjx\nRU4AKtqiJh4ta5EMvitwIAcqsaFGxh14shzJT9ADGatp0l1fPZtyAnqcDMWDUmxcwEQmZugmVYHn\nH5vE55O2c//9nVi7dlKz5w4cGNnsbyNnEVDjcoXerI79yFDhRECOKw5qGohtauMYESt2SlEQ0PB6\nluLDWGyUAg7K+QERM3XsoYpNmElr3DeAHC3t2YGA5AJRxXoMHMVIKmbSiGAuLrRDhhZQosQfCxdw\nYkRNJG34gjxexgPJ2sWdPsjxRNbQfHoZDoyYyEJFJDLUmP0XYcSJF89f8/328fHBz8+PMWPG4KbP\ngaD2OJxOFAoFGRkZiKLYGEZz9OhRNm3aRHJyMjabjaysLO69994bqoD37duXwMDAZhKWG4FKpaJT\np054eXm12JaXl8fx48eRyWSNZNvd3Z3evXu3IPSVlZUUFhaSmJj4b1eSvb29iYyMRKfT/WZHlNDQ\nUNq0aUNYWBj79u1rRrZLS0vZvXs3Q4YMuSELwNv442GjgjTG4kpH2vLddcceOnQIWYdMFK6VtF+Y\nRj79kKFCgQqwkVkzD0PpCi60ncps+fOEOMP53OUVOom72SEMYwzrmPbYWWzIUWGnVPTjByZjfMid\nH053xBjuiQCkYyJDDMAkJDCYX/BHwVCxHj/hHIvJZik9uH/iItq5pLN45XTcQvQ8ofyYs3Qke8Hr\nnFRbSSadyexllLAIq6sbKKvw5m6MZOKkmj4YcWEXscAJAjChw46CqCgzzryRKGUxVBlP4BvbmS7R\nUuFj9rzBjCYQz9omElvFKsxcpIrVxLJUamikgHpS0RDZLIX2Mow4yMJMZ1xxYESGGqGBYmiRoUNO\nEVasSEm+h/en08Uxi+Th1+jmuwI5OTloNBosFgtms1TYsVgsHDt2jI4dO14zB0GOS0ND+62PHr+N\n27gZ/KqMRBAEDdAWGIhUDF0mimL9Nca2F0Xx3C0/yt+I/8/lzFUH4dONsOsMeLtD+VXX+0uYuYcM\npuHPYwRxCTPnqCeFa+uXAc5Tz91koEVgKDq648pbFGABFtCGtynkAtLFKBQlldgxIeKNnCqaqqEy\nwA85pQ2PKQB7w2OzCeYV8hvHKpAq2QBX11NdEKin5TkWgAfx52mC2UoNmZiZRSCyhuU8B0ayeQw3\nkgjiMZxYOU1nQEBDW/yYhBejOEMP5OjoyAEu8Sw1jZUpAVAhQ42TOtREYaUSkVpAwJORWMnDRCpq\nohDQYuY8AEqCCGQWakIo5jPMXMKD3vgzDQU6spmFiYzGVx3Ci/hwN3I0nGcUFi7hw1T07MBGMW34\nmov8GRc6EscyAOxUI8e98WYDUMq3FPEOgczGn/uoYBleJKNC6tSp4yj1nMWf6S2XPQ8shCUPwT3/\ngkGPA/D222/jdDp56SXJZaWkpIQdO3YwZMgQ9u7dS0ZGBn/5y1+uq3muqKhg7969DBw4sNHi7/J3\n5nqkt6ioCB8fn+sSeVEUycrKIjw8vAXp1ev1LFmyhK5du9K7d2+WLl1KZmYmDz300K82V/3RMBol\nudLlRtADBw6wbds2vLy8mD179v/noV0T/60ykp+o4GOK+Yo2xF81mb0SvyZRqGIdCnyQoWLlinUI\nLhdpN/I0Z4VE5vEsNuAL2tCWVeQ75iIgYrIPwKY4gU6uR487T/ERWtHIv4TZiKKATBBxivCK8Dpm\n3JggLidfCGO1eCcIAgrRxsPCF/TlIPliCIGOcgS5A4Xg4DjdWcB0NFjxtleQXLmBxIAzKHGSQRLf\nkUw3TlCPhkksx44/ZwmhKyepxh8vyviSh5jAYTxJQ4aDcgbzFX15kTexoUKJA3DisMcwTf4a9wl+\nPE8oVpy8TxH9OEc7yvDnPhzUUcyX+DIeDZGI2DGRjgsd2EUtadQzsUrFwlUryB/dndn+CXxLOSup\n5Ft8UDIed/oQzTyMnEU0hvO9s4p57jX8lWAeJIALFy4QFBT0q176RqORuXPnEhAQQEhICJ6engwY\nMIDjx4+zfv16+vfv36rL0m3cxh+Nf0tGIoqiWRCEx4BaIAx4QBCEka0R7v8kon2rYDabWbt2LQkJ\nCTcV0LHxOOw4DXPGSz7ZV0MAFAhUN8g13qaAfdQRjYaE69xEEnAhGR2bqGEd1RzDgKVh2xxyKcdO\nHGouYKGgQVsNNCPal4n1ZaKtAgbhyTZqKcfBEsrpgStHGzTRCgQcgO0qUq2iqdIdipIybFgbXpsO\nOZPx5UtKWU4Fpdi4F1/8GrrjndRTTyo2yqlmI224vGAiYiaDfF5Dhicg4KAGG3qUXLaREpCmCxac\nWAABASUi+oajslLLxoaxMtSE48UYipiHjXxsFFPIe7jSGROZOKmlmnXIUFHDThxU48MkatiMEn8K\neYtC3kJLYsMxQSXfocCPWL7Fla4EMBMXpOWLDKZSz0l8GN+oAS9nGZX82HBMDuS4EsBDzc5nMR9j\n5Diejv5o9FrwuoJ0hnWFtoMhsqk5cvz48c2WVAMDA5kyaRIcX864O/piTk7G9fgSyD8Jkz9vtQs3\nMzOTM2fOEBIS0th4+dlnn6FSqZgxY0aL8QCFhYV8/fXXdOzYkbvuugun08nmzZsJDg5u9Bp2OByk\npaURGxvbKiG3Wq1UV1dTW1vLwYMHkclkeHh4/OZK9O+Jq8lAUlISJ0+e/F0157fRCuprsFGN3sWB\ntZUJ/pUQULbQZZdg5Q3ymYILWp5HSQg2Suk0Tosok6RuXTjFo+LnnMkej0KfSVGX95DLRYrECOIV\nDgy2OpwycBfqiCMdK0r0uOMp1GET5TiR042TlONHknCYrpzAn1LKRD/GsZpVjOWAszdmQUWIvBAB\nKHQE001+jIu0wYdK1ipS6BRwBjlOzKiJ4zDTKSW6QcpnR04mYXzJQ8RRyh3sx4vtJBVkU+Tri7JI\nQ4CjHCH2GJ3pznwe4UEWcbZmMJ3dw/FUxNMOLYmco4JDeNCfRzlLAX+nED0e9AVkhPLMFedT0djM\n+AUlnKGePjY/0n2UHPKXoSo4SwezglEx3kTjSTlRqAilirXkMgfVPjUVaSkkz5pKN+V5RHyIjo5G\n1mCt5cSKiK2xifFKuLi4MGjQIHx9fZv1lHTo0AGLxULHjk2NUjnMwUQ6cSxHxq+v6N3GbfxRuFHN\n9llRFD8FEAQhCLgXWHj9p/x3oKamhrS0NBQKxU2R7XkzYHYKJEa2vl2HAl+UfE8FY/HhUQLpjhtx\naHEi8i3ldMaVzq1cfLrjxpYGCUgJTZHP5Q3EPQMLi4jhTfKpwEZtAyV2AeppItsC4IFAHSJbqW3c\nTzZmkvFCTT3dGnTcT5BNFQ4qsDfe6CTPDul3I86Gv6X9DkXHTC5yAQueyFlETCPRBlDiR3t2kMfL\n1HGQEj5t8TqvtNg7xyAUDVV/DbGYyWwcBXbMZCDHB38eoriZc4gMPb+g5xfk+AAiWhIwcZ66Bh24\nHG9C+CtVrMFBNQCVLEVJMGaaospNnEVAhRx3PBmKO0m40b3h/RxKGd/gQgesDasCJrIwkYWWWOo4\niIUc3OiBK91IZzw6huPPA5i5iAsJhPE3zFxAs/JT2P0xPHsQopJg45twejXM3gquTSsfrbpUpG+D\nhZOR93oA1wcWw4bXQF8KUb2gT8sGyaSkJPz9/ZstC2u12utWrI1GIxqNpjFyfv369Zw8eZLAwMBG\nsn3mzBnWrl1L//79SUhIYPHixQwePJikJKlD3tfXl+eeew6FQsFbb72FTCbDZrOh1+v/46UZcrmc\nWbNm/WH/TxRFTCYTLi7XnoT/T+AfnZjsdHDv2/mNK2Q3g0xM7EJPfzbShRS8GQdcwimzUcpnKAnH\nTCpJwl5kp0F1134EIrCRj0qo40d5JMvlj/AYBfRgDn8RP+ZRPudV8e88J7xHsFCCKDqIJRN3akEE\nlWBjoLCXanTUoMOOigWyhzCj5WdxHIlCOpNrt3KiqC/O9iJDhO2Ak1L8EBAIoAQR8KGSEgIIpBQ5\nDtpznAR6Y6QL4SwFUaB8pTueCX3ptmUJGouRUx9rcRNOMYBiXAtNTHnrUw5FDiY3Po7vRrtxnqfI\nB9wZiInzONCj424W8w1+nGQ081E1hIKZcCIAGmS8QwQFWOkc4MEnyVPY6zSyZvdyyk1G3oqZjhJP\niqiggu+IYREeZaH4ZB8kefQv6BRWalhHXt0LfPdxHlqtllGjRiGLewcTabRjMwX8HRc6NBYjBEFg\n4MCBLd5PtVrdoiHTQS0OamkpePz9UY6NcaQzCi/mcP3VuXoczKOYoXjSg9YlMP9LcCCyDz09cMPl\nv1Tyc6Nk+3LxFFEUiwVB0P9Ox/Mfh8DAQB599NGbrmK5qK9NtAF2UcsFzEShJgwVnijo0hCWsoRy\n3qOQWDR8RBSuyPmOMmyIPEQAr1PQeKtprb6jBrIwkY2l2fbL7S/D0LGXOmpwUNvKHuzA2gbSeQAD\nQxrkFwBeyFqtKlVfUTnXIPATlSgQcEXGt8QSg5ZszBRhpV8DibZTSS078WAgVfx0xd7keHMnHvQm\nkg+pZBV1/IKNIkBqfGoKj28KeFERTgmftPJqAGQ4qG84D7ko8MdOGQDeTMCVbuTxarNn2ihCjncD\nARcBFXJ8EKlHSyIa4injG3yZRC07qGYdHvRFTTh2qqjnNGV8QwRvEsHb2KmmjEVkMwsRE3aqsVNN\nOd/Qhi/woD9aYiGyCqL7gK5B11yaASVpYDE2kW1DJZxdD0EJENYFjJVSzG9oF/CPBY8G7fXdH8Km\nf0BY65Hzcrm8RXDNrzUu1tbWYjabG91HPDw8cHd3Z/TopnTO2NhYevbsSceOHbHZbM0SIUtKSli4\ncCEDBw6kb9++TJs2DblcjouLyy2x+ft3UFxcTHZ2Nr17926suoFUqf/ll1+IiopqVa96K+B0OsnM\nzCQ6OhqVqslCcvfu3ezdu5fp06f/JhvF/xrEDwPR8ZuINsAAPFlBHFYeoRIHT/IABjrwPCEMZgoa\nzKQxFhVB+I0cQI1wllx6ICOYThykC5vYRwyfEs5YcSxJhy/xWtKrZAqxBFICgF2Qs5sBJInHyBRi\n8Syvxd+3DHWFhZle8wlT5KMTqykRNFQLvkRwEXfvi3TTXEB+oDO1fd0ZyG4UODkhdiZQkPbrQj2V\neJFNJOHkIqJkJp9Tjyvl+OImyMibHcxg8QSXXCNwd1QiCAK+FJBAGsvdp/Jk1HpKEtxY01ZNVG4J\nTu9oZO7ZHMZCCOPw5xBl7KYrNXzNiyTyLEqCiOIDUjhPPOm8SzS5fMZJ+tGT+3FRqQnGzu6pvZjn\nfIXz/EgivyBDjYgNGa54+czEelcPCFyFHCU+TEDr6IVaXUpdXR3FxcXExMUh+YZYqGUXYslFCo8a\nCUye1SyV99fQhvnYMWClFA2Rv+lz8kfgPCZWcxE7Aj0Y8OtP+C/HBqqZQy4zCWA2/53hXTdk/ScI\nwgVgM3ACOAlEi6K4smFbgCiKpb/rUf5G/KdaUAFYcbKRagbhie6KOU8uFqaSSSV25IA7Mupw4kCa\nGZ2mM8uoYD4ljY4h14OM5nN8DRCLlrOYrvGM3w4NAmoETDiJQU0xdjriynzaAHAPGZylng2oiSIB\nB/Xk8RpudKKQuYhYcKEr9ZxAjhehvEAuzyHHB0dDw6YEAQE1OkZQzRqaphxKwImWOExXTBB+/bhj\nsJCDDA8cVCGgRcSGdPYu1+uvPpOXbwAOovgYD/ph4ATu9MKJkQp+poh3keNDWxYDUMZiQEENO1Di\njS9TqGM/Fi7Rhi9RFZTCtvch9yjMXAMrn4E7noS4wRLR1l4RprNkBhz4Wvp95Cuw51Nw8YIntsPf\nYqH9SHhsbdN4YxUotfDNA5Ks5OUzoLq2C8yvoaam5jfLKMrKyli8eDEDBgy4aX/v1iCKIk6n86Zu\nytfC8uXLSU9PbxHEU1JSwhdffEFMTAxTpky5zh5+O06dOsWaNWtaBBGdOXOGAwcOMHHixEZd/a/h\nv1WzfStg4DwfUEwFkRRyBBEVriSyCC9SGYwMdxRE4bV+Kz4H9KS/GInDTdE4vTfggjv14BARZQIW\nQYUGKw4EPuQpgikggfP8U3wWF+pZnDud+PcusWtSX7z6V7GQaVj/j73zjo+qSt/4904vmfReCSEB\nQlG6gAiKggoqNizoWhe7otiwYm+gKLr2hnUtqCCiAgrSpPdQQgrpPZnJ9HZ+f5xJIQSkub/ddZ/P\nh08y954598zNcO5z3vO8z4uWU1hOD3YhBKgVUH0N7gs1aAngx8RrXMte0Y2BrOdq5SMEUEE8xXRl\nK5O5nnvRUIcHLQZ8NBBNdLtkdgAfKt7gJtZwEo/wBjmsZAP9SXNWEmesZI/oS3fVVoq5gFlcQh9+\nIp4avCRwIe+itanpHb6Nt3iOAXyInhR8lGMlnF4sJw4tDgI8FNxHX9WL9KEYb+FkBr5yOcrFj+Ef\nfi67OI8whpDMnRjp0VqLwEcD+7wvkKS9HLPSVgbZSwWOx8YTVbWJvAv/Se7pEw/vD2utgk8mUzVC\nTWWfPfTgWxm8AAgGoWQ9pA/svCrc/wPWcRkattObX/4STimHQjVeZiML5R0qF+PfHcfD+u9DZB3q\nk4ALgX6KotwDrATigL8dp4FGA/8EMoBiYKIQoqmTdsWADZmv5xNCDO7Y5t8dOlRMIIYm/AxhC30w\n8Q7ZLKCB+hCJzkLPnrZNBQQwjK2oUXEd8cyg4g+UiwduprmBbbgYRyQLOODWHoAwFByIP7wOwKmE\nM5OufEkda7GTRyOnEcEWHKyimetJYAM/0sjjxPI+9XxFMyvxUorAQzrPEsaJlPAETrbip5kwhmNn\ndYcrCQRuGvkWDQnEcCFONhHHVSjocLD9iMi2jzoEQQKhB5VoXYioW3/qSMMb0kzKI2EIBDoSUKGj\ngfnoSUPgR42FBK7CSzF1fEERdxPAho9K0phOMytwswcHm7CyBAhSa3uBlKdmgiEcRAB2/gzbF0By\nL+h5OjSVwYcPwJj7YdlrUi4CkHKifHj0HAsRSRDTBR7ZARHtogMuKzzYBdL7gyUOjoND57HolePj\n47n33ns7PSeEoKKiguTk5MN2Jfn8888pKyvjtttuO2rNt9frZefOnYwcOZKcnJwDkjQTExO55JJL\nWqUzfwaysrLo37//AV7nffv23U+X+leDhzL2cS/xXE0kYw7arrCwkAr7z/TrPRKzqnP7pwZ8fEgk\no0jhaUp4hqcRQAF3EWQMOjLwUoaXzXgSTKjdjai9gm3BnuSo9qAlgFk4cQojYYUOXJk6UAcIKLCe\nAdSQwFD/anLUe3mG+6lwJeKP1lA3PJLgiWAlnCv4iFIySKRSZp8ooKrzpJCpPQAAIABJREFUE1dj\npX6fheqMRGJo4GZe4ztlAmmUUkE3kthLMjWkUMNoBuHGSjCo4n3lKrorjfRiK8JXhyoIQqMg1Apq\ngvhIQoeaVIbjYiu/MwS1fifxSiUocq7rIjZjYiD59OBq5QP22dKI3G1FtSmJ6ydv5BY+BEBHImAm\njmRmU4kahcELt1Onqsc/1oqaQhrFB/gJEhBhmFcuJjntDJrLo7H3bUJjrkUfkqY4WE+z7jsMRGKm\njWzrSMZ55sPsWvkVqQOPoHJs1U7YNp8YVy6ejMF4w+NpDScsew2+uB0uex1OufHgfexaApu/IXj+\nk5TrX8XC4EN+544FmUzAQdYB9rB/RSSg40ky/r+H8afisJZ4QognhBA/CiGmCyHGCSGSgUnABmTS\n5PHC/cAiIUQOsCT0utMhAaOEEP3+E4l2e/gI0kyQTaFkxE3YW89Z20WuTyaMAGAlSAN+XuhAtA83\nptdCX1qItip0LKOTyocA9sMk2gA/YqUeH49SymYc3E8KZxPFO1Qzm0qi0WAilQrOQ0siaiJCEd5L\niOdq9KSxk3Oxs5IgzTQwl3Qeov2SQcGEmigIjddPNXV8TCqPUMeXFHILVbx4mCOWCNDU4Rot90KF\nlhQ0xOFlH+3/uwSwEsRGPNdSzgxKeZS9XEsN7yMIUsx9+HGQxQf4qcNHJVqS0JOBl3IUDEQwkq68\nhpZ41IZ0KQdx22QUe/lb8kJ9z4WqXbD0VdjyndRur/1Y6rA1ehB+WPAY6Exw0Uz48Gp4bgjsWAjP\nDoayLTLi43XKvv/+JTxRcExR7T8Nthq2/jqPd955h3Xr1h3228LDw4mIiNgvsu3xeLDb7Yd4l4Tf\n7+eXX35h8eLFfPvttxQWFtKvX79OiX6PHj06tTg8GjgcDubPn09lZWXrsRYpTnz8gcWQ/srwUoGD\nzTg5dP79qjWLMPV5hcJgW2EWO+vJ5ypcodyLn2nibar5mXmEs4V6LkBFgF58Th5nsIwTKOAEABoG\nhbF1Zg6+aC1nvr0IYQ/yA2fygjKVv6vepjnbjE7jw6AEUAnoG9zCC86pDK1ejUlxk0IFg0ybqLLE\nUXR5KjGWBsIKHOgI8BmXYsSFE52MWBelkLy1Bl0gQAwNBAEtQS5mLiexjjgK9/usTmYDPlSqIClK\nJY0YSSAfbaMfc5GTsN0OXOgpoCu38zSD+QUDL2KkmRSGEKF+gieYwQ5y8aMDpZDrA28x1fMBMcXp\nnP/ATxhqvCwaeyGn81Toqio81nX0aHyaXrVT2eAoYRlWLBYL/XM3058NBFGRkZVF3qwa6ofksW3A\nLMyfvU+3OdNpaLiGfdzT+hkiOJ2uvE4St8CKdyDvp9CHayJy1Wx65GQTrvZ3+Nw7CXayK+slSLD7\nKBj3KNq9eTT9YmE4haxFJr6SfQr0HgdZwwFp37lo0SI8Hs/+Ha14G5a9hrf6F+r4lLrWpPbjj1gu\nIYMnUfj3rmL7PxwfHHW5diFEAVCgKErZcRzPuUiLQZDR9KUcnHD/6VukZWVlrFy5kjFjxhzwkG3A\nx2QKOJsomkMVHF8ic78KWZ3hBxqpxMt1IU/oOHTMIpNN2LmJAva1yhakW8hZRDICCy9Q3nq8T0gG\noqbNiu/AEiedoyNxTkVHCd79rqt00u5w+67Ay7NkEIeWoaHEj3tJYQyRaIE3MHMi2aRwHjGcQ0++\nx0slMUxgNxMReNGRjZd8/DSiwoSCCYETBQMCT6v2ugUBbOzkImhXUfJYPolovRc+fO3ue8e+1ERR\nxz/R040gPkBBEKCeuTQyHwAnWwljKAoqYrkEIznEcDGxG3WYPrwAJn9NhO1q0Bpg0lvw8hhwNUL1\nLuhxOiT1hvsSwe+Gsx6C8dNh4KXwy8vw+wdQmQeDJkFTOWz+FoyR4PfCynekHOXFkXDHIkjIhhMv\nkHKSn56FYddBYvcjvjdHhbWfyi3c858H9SGmnJdH07e2gF2DXiM9Pf2wux83btwBx+bMmUNdXR1T\np07dT//cEZWVlSxfvpysrCxOOumkI0qCPlJ88cUX2Gw2rrvuOoqLi9m4cSN6vZ6kpKQ/7Zr/DbAw\nmF4sRsuhdxXOGnMRlVV1pO5eC9vPhpxROMbEYGcd7lCi8nnEEKCYDF7mWsbQhQfZyQp81CKABty8\nzU3cx6tksxmvomVnaS5xWfU0EMsnXEl3sYt3uB6voqGBSKJDm6/fKhdwsmEFaXGlgAoUBT8qIhQr\nWhGAIKjTA9QQw+V8hAIY8dKEhQcGPclD/QVX8DEjxApUilz8B2VP7CWbeF8NMdpGvBgJEsCLjtxP\n87l736usnDYMEQR/lAbDdjuuBC0mPGRTCChM5h1UgK5OwyV+FbmJMQzgFOq5BwWBECrMajsx6n0k\nGl4gGPE7ujofw9Xv4nfHoTHkEMeVRD93K0H3UPweJ19kDsJ3929EnqwhBwdl/IwCZDMFaKJU6yao\n1lJ1TiS6n05FHdaHOO9AcFZAZDIKKiIYCQWr4ZO/Q1gcvFAj808KVkD+b7D5G3hIlu6ws4l8JhHD\nRftV+m3Cz5nkMYQwXh59J6i11A85lzTUbRLN1BPglu9b37N+/XrWr19PamoqPXu22wWZ+AoMuxZD\n+hiy6YL+uMYS/4e/Mv6QbCuKogcsQoi6zs4LIX5r1zZdCFFyDONpr/+uhoPOrgJYrChKAHhTCPH2\nMVzzoCgoKGDXrl3k5uYeQLbtBNmLmyI8FOAmHxcegmhCMWYrfm6ggNOIYDJthUJmU0kpHi4hlrBQ\n2zFEspBGlmMjPRRVNaLgQlCNlwfaeV5rUdhxCL11i9NIZ4hGTThqitsR65J2v7fAjII9RCwPRlfD\nUdNMABVwATGspZl9eJlFJe/SjV04uYNCLKi5mSTMqHmdau7ETje2YCAVHenU8TmlPE4Gz6MiDB2p\ndGM2RUzBzECaWUsGz1DMFATuTkYCoEJDOH4ctGmrFRR0CDyw37LkWNDWt0ywrMZJY+tdUjCEEjQ1\ngAYt8XgpwYv8LxHBaJpZTZN/IXE/7gWfC8q3wXfTZHJj0A/B0DhFEHYthm/vh/4TIX8p5C+DglWy\nXfFaGdkOi4PRU+DZQVKzff5zsPwNMFjglJth3adgipHa770r4On+0LBPXmPco5J8R4ceKNZKqC+G\nrkMP/5Z4HPLhGH0IcrzsNShaDaPvkouD8ERIbSeLCAbA54aBl6LUF3PJpKvh81vA2QjXfXbIy+/Y\nsYONGzdy/vnn71cuPisri8jISDSaQ09xaWlpXHTRRaSkpPzpVn4OhwOHw4EQgtzcXC677DIyMv67\nt06PF3SHkTQVExNDTO1l8MXDgALVu4kfk08EozCE8kaMqJjEIGy8golc6vkaH5WosKDgJoc67sdJ\nDpsAsGHhl9hTGW5fTaK5hpvFq/QUeRgVFwYUCsgkWmmiwRbFwIaNvBV7PY8YniQoVOgVHz7UGPEh\nghCxw46tdxjx1GMULlDkjFInYolQbNSoEvidkxjJb9S408mo3k3Xd8qpOCeOnv128rTvAXLFTobX\nDkOd8B7Rmt00V4SjFoJYfwX6ch+KKkjdadGom/0IId0+9Z40DN4EAoE6kt77hV9zH8QcV8xX/cdy\nmlagwoxRyUVB7ib5Ei2ox99HzJz70TZFYtmzFqYsYW/2ByiDwwm4Pex19SO672DYvZt5azYw9NKt\naHRmAli5kWXcx2pcLCfNdQfa3GwickM+2K+fBzsmwpj7cJ11KfnaGwhLzMHzaBYZm0+Sat24LHii\nCOY/LJO9QzDQhQhOx8VeNnMCyUwlnr+hRSEZHUnowBgBZz3IaUCL83YTi6hhDl14ttVdZdSoUaSn\np9O9e4eAQ3g85I6BmnzCvnxYBji6/rX11P/D8cHhJkiOB8KBb4QQBzA9RVGigIuBnUKI5X/Q1yKg\nszJ1DwIfCiGi2rVtEEIckBGkKEpSyBUlDlgE3NbZdY81UScQCFBRUUFqamqn28o2/JhR4yaImyAx\n7baDKvAyjjxOJ5IX2mVF78FFU6jcenuU4mExTQjgFSpRIdCHHgFlBFoTJVsQi4ZJxPIJtdSFiGQY\nKuwdVNpPksYzlOMgiAYlVNj94DDCYaVOhqPGjIrLieVnrLxCJouxcgJmemPiVSr5RyhDPxw12RjY\ngIM5ZDOQNlLUzDrKeQ4Lw3CxgzSepIjb8VHb6hYioRDJOJr4gTbJhxbwoScbD/kh39wK5PJAIYoL\naOTrw/g07a9iCiVH+g7SQhJubShRqD3MnNKurPyByxQVYeC0EjSoOPGWXXIPxJIAY+6Bqt3SdST1\nRNjzC+SeBYtnSA23SgX9L4YVb4FKDd1Ph50/SbLd8wzocw58eoO0CTRFQ+1eGaHpdWbbxZ/oA5U7\npR78pKvhwhnwwZWwewk8USidT2adLl8/lg/x+zuUHBSP5EBdgXw4xhyEcDeUSs15Qne4JxYSesCj\n7TT1714mnVUe2yN15wDTe8iFwHNVh0xoWrBgAevXrz+qYjhVVVUsWLCA0aNH06VLlyN679GgxZGl\nxeWkoqICt9tN165dj/u1/tIJkqWbqdcvQm1MI2Ax0MxK0nk8VAG2XTPeYS9fEkkpjbzOm9RyL7N4\nm4sYyir6sB0FyA92pZuqEAVQvEGETgVCoNj8iDANwq3g3mfAmOtGtcVP8ARNaAai9aemyUfvB/bS\nMDCc3Sd0w6eFfot24Y/S8ONVo8hWF+LCQBgOFGD38p6ct3g+hlofvjA1TQPDKZ8oH5sfBGZy+/uP\nEePaztxrzyHeXEthfSY3Pfs+Qa1C9agE1HYtTcNVeBP0dJu5D1Opm21Pd8OjNhP3o4auP66j8LIU\nKk5JxIwLUGFhCBZGYHf/jHrvDsJ2Ong/7Wwu/+EbEsbeg3v1fZRcnoQ3OQYXRgzUUlt4Lqs/1nPe\ngwux7LVj6w5lIp1MJZLItTtJ/mQnqumFEJWKl3J2+cYRs7qZlM8KKXniaupj19ASIgpjCNGcSwzn\nH/g3DQbBXgfh8WxjVOuzIZef0ZMK8x8BWxWuSfdSymMkcQsWZPJ1OTOo4T2iOI8UpqLlMKxF134K\n70+Cc5+Csx44/O+eywpz74GBl0H3UxEInGzDRO5+Bc7+h/9OHHOCpBDi+5C/9p2KosQjTS20yHCh\nEygD3hZCWA/RTUtfB814UBSlWlGURCFEVeh6NZ21E0JUhn7WKoryDTAY6JTkT58+vfX3UaNGMWrU\nqD8aYivUajVr0oxMYjtvdVKxLDx0+8yoMXdQTSejYxm9D/CMzKFzrew7VPMl9TxGajsf62Cr+3VH\nEh1E8A0NrUQb9i86Y0HFhcTQGzMmVMShZSBmvqPhoDQSOifaeqT3YxRqotGQgIappLIHF89STjMB\nGvEzqV1G9fUksAIbW3HiJEAGepoJ4O3wOUz0IpOZVPIqzazFzR487GudmDTE4KceEJjpi5GeVPIC\nAAoqLJyKnfWArpX8akjCT2XIqUQS8sOFoNPiqO0gx9+RaAM42n0FZal2NUHaXDKF00rGx5WE7XG2\niY2aq2HufZIEm6Nhb4isV+2CKUvg11dhzxJoDrmxBAMyyg3g94A5RkZzYrpA0RpJwP0e2PT1/mS7\nzzgYeg30v6gtCt3zDBlRN4XWtyMmQ2KPA6PUHgfoO6nyJgQ0FMsovCHswPMtiE5ri56f/7yMXLVH\nXDeIz5HacmOkTAwd/xj0HPOHzgFjx45l6NChh+3S0QK/309NTQ1lZWVUVVX9S8i2oij7Ldq//PJL\nrFYr06ZNQ6s9ct3m5s2bycvL4/zzz2fNmjUsXbr0OI722HAs825nqOJtvJSRxqMof5BqFEzLpYQr\n0BKLkZ7Y+I0kbsVFPpXMpgszCGCljhfRo2c915NCH8ZwByXE8BsjMQonfdiOscTF6AW/UXJzKn7U\n6Kw+zNV2wrc62NitLyc07MQVq0Ob6UW7x487S9caUW4imihPLUKnwhthYNf9magr/Qx7ZyNuow6d\n30feNVkoJSAyg1hwIICVDCI7shglqPD9baM546NlBPQKPqFBq/i5asdUVL2tbFP3op9ZSiwSYqpw\ndjGgBATp35RTNywCvzmeRiJwdDMSNKpo0sfAslgyfl9F7bAIXDk6oisbcCcaiVYuowsPYGcjFbrn\nCVPZKJtg5oINX7Fv2jloN8wjvsBFuL07tRRjwI4fFUkZo7j1lkFE7OqFf94t+C8xk9q1BB8l6JvN\nqLqPbVcbQI03oKc0vj8pE6eQFnkdTq7BxTYiOB2rWIyvcjmmpnKMubfu/0edew/8MgvuW0PPjG8p\n5j6aWc5eriGN6YRv+AKsFbgvPQ+HegMOtrWS7WSmAAo1vIuJ7sRz9R9/4QZfDgk5MvhxJCjZKHXf\nAR90P5VG5rOP+0liColMPrK+/od/eyxduvSw593Dimz/q6AoyvNAvRDiOUVR7gcihRD3d2hjAtRC\niGZFUczAz8BjQoifO+nvmCMsH1DDS1Qwh2xO6KTAzLFiKw7m0cA4ovgNG9eTwHC24gX0KK0EOgo1\n9e2ItRkZNfEAAzGzBgeq0DE1UkqiQtrxORH0wsgIwnmDzl0aDUAWBnZ0ItV4mBSeoJwziORlMlmK\nlR9owISar6nnVboysrWyoo+J7OZkwtmNi0z0zKeRkYTzKzamktyqV7ezkWrewsYKuvM1GsIpYgpO\n8sjgecp5hjiuoJJXAT8GssnhY7YyghZLvkjGoiedAC6aWY0fKxaG0MRPKGjaSU/aR5pb0kKPh7Sk\nI1r+CgIp+lEh8KB4g5j3uoldXk/UZrskxRqDJM/edol8WhP42hH+FnkJKjBFSCLtdYIhou28sx6m\n/gaLX5IuJjmnQfqJst2EZ8DZBPfGy2te/0/IOhleOlU+BK/7HCISZeSosUSSdgCvC7bOg/oi+O5B\nSfxzRu3/UX1emJYi3//wtqO7XX4v7Fwko/h7lkqJib0O9GHwYuPh9xMISXC0h64at3XrVmpqati0\naRMJCQmMHz+eqKiow3Y+OZ7YsWMHdru9tdDPkWLu3Lls376dG2+88YCkyv/kyLYgeACh3skEPJTQ\nh+WdVhnsCCvLUBOGgW74qMFINtW8SwUvksVbhDGIj7mbnziBbM7gQmJYy2RScPJz8UQyUn5lhHo5\nikohenUTlf3j0Ot9CK/AUO/BF6lFv9SLO8NA77f2sO2lHDmdaBSUZj/he9z83mMAwzf9jtoRoFkk\n0Viio0f+Hi5+4FNefvMeuihF5N/TBc9qIzl7CiiZlCSj5sHQvVMpeOtT8Jq8mA216L/xk7OqEGey\njtoxMfyiPo0BPdfRSCQ6fEQ4rESvseIJ12DPDUOY1KxkKAPZgh4ntzCbud9NJn5xEQseOJOUhCLq\n9sWj+L3EdLNiYRjaqloak/JRnH6ESYNplxNXVwPGBgNG1QnExD/Ccr4jgd8huIOo6mwSk2bh/3Qi\n+Zc2k1g7lvCEaxCuBvSfPYe698XUiwXYDTuIzH6KVYUf0licyRXjX8HpXEVj0XRqcitACaKv9OJJ\n0pG0WI27TzZx8Q9jVvrhox5r/uNEf/A1KlMsTPkFu7mQMp7FRR7J3EeUfQA6bwREpuD25qHX90RR\nQoGuL6bgr9nA7pt0GNTdyOLNzr80K9+VEfJbF+4vcztS7Foik93N0bgpppznSeQGzKHE2//hvxfH\nw/qvfWf3CSGea/c6DXgK+FQI8ePRDxOAZ4EvFEW5jpD1X+gaycjI+TikBGVu6OGoAT7pjGgfK9bS\nzFOUMZ00NnIC6j8pH/Nr6vmSeprwk4EBPSpEiBi2L0ljbUcMtbSlAmqA/BChbKF4LZrtIOAM9bED\nF/m4mU0mt1GEGRWOUJRWBQwjnFtI4g6KKGun4zajcBnxXExca/Lnx9SwCjuRqHmWjFai3XLNZgJs\nwE4hHlJC2fY1+FhELskhTbqXcvK5Ah1pqDBRz5ckcjNGcnGynRIeRuBERyLpPEEJ03BTgMBPFrMp\n4AbM9CONR9EQiYdyAqGy600sCN2PljqZCvubIHb0yz6epDtIW61OWaQBIRBahazZ+9qkI83Vkjh3\nhK9DZD3ol+0N4VCbD+pQsp/bCvpwSbQBZo6kdTGxfb78BxCXAwXLpVuJ1wlf3gWeZkloEbD+c6n5\nfv4kmVB5zScysr3qPVj9vtwOjc6QEWeQUhNrOTy8HTZ/DY46OOkYnD8//jus+UiORW+R47rsDYhK\nObJ+Zp0m5TNPFB2ScK9atYqamhqSkpKIioo64oj48URHi78jxTnnnMOoUaP+Xz/D8UYtn1HOM3Tj\nfcIY0Hq8G+8SxHlYRBuQiXchaELzUwLXEc35aInGylIy/VWUqcdTIRq4ofQ7+mdswuU/neffvp+a\nSC9v3vM3MpuLmLBpIbG/1FN4eQ7+ND9qVxBvjILrVB3GShdKIEja+5XMH3YmQbWa38JGkmUv4rL8\nT7GmWej7bD6CWhTAajDhN2iYfeGN3B75CqgUemzaQ0Seg8rxcXjDNGBUoWr2EbRoCXMX4I3WI1DQ\nuT14onR44/Qkz6tlcukcdt+WhiHWg1+jofdje1F7BeVnRVM7IAEtXkY0rSIYqeDy9uC1JY8TtrOa\nHQ91JTW2mG0VfXg2cxrX2t/hnH0/EAwswZZgIHdaPnUjo6g5OZHUb6vRWv3omvzU9Wvk7bEXsZoY\n7k/Zhmmfiy4zvqPy2gYiz3gSv+9ptpq6MmZbKV6jm50XFxIwzSB6dRNNQ6Kw2x8jpYefnB4yT6FU\nPIKzVwWWPDsp39TjS0jEFVlN/JIGxLwdBBI2wIP7qOE9wue/A3YPWGvBZSXMPJAeX2cS2L4ed9pM\ndlzlo+fyUzBsXIuhbAsMuASuD+V7VGxHXboDlbcfAWMosFG6Wbo6nf2w3BkEcDWBvVbOkyCLgfm9\ncM5jR/Yl7jG69ddvMfMBt/ImWX9CqO4/CwHseNiHiWOb9/5TcTQiohhFURYA9wgh8oCpwJPA8GMd\njBCiATi9k+MVwLjQ74XAEe7tHDlK8ZKPmzK8rZUdjxaVeNmJi9M4sDrenSSTiJY3qMZIM7eRxOXE\n8CFt+agqJIHWo7QS8Pb1E1uqN/5RLMmLIAMdXdFT2M6/uzdGfsHGTlyko8OCip0hAj8q5AHa3mXl\nSTKYSQXLsXEP+xhOeGvWdxxaBmBmGc28Slf6YaYKHyMIJ4U2EqSgQ0GPhkgCWPFTx17+hodSCCnd\nIhhLNOdSxNTQGOJoYgkWhpLDpxjIbn34ljAtJCcBBT0WhmNjGZJI739nTAzByZrQqz8jut1CmP2o\nHAFiVzRg3uNqi9U1t9tdUFT7+15njwolQbZLXG2ubntPwEtroqanfSHXlmiYFoI+ScQ9NvjyNvnA\naCHpfrd8oBijpOuJN7Rsi0qHkg1yLO9fKeUhJ0+GM6e1RbsB1NpQX4qUeZx6h5SnHC0yQzaFXgc8\nvFVG+yM6S+noBLWFcswDLpbSFCGkpv0QmDhxIg6Ho61gTU2+jIgn9jjqj2C32/dLzvxXQavV/lcR\nbQAVRtSEt7PflNASA8Qcc/9a5P2y13xGWPx2Pvv9c4zBoWhW3ofupj4E7LVoGkqIdBpYGxzCPP0E\nLt77PY1nRuDPDKBuDhCxyYbaFqD5RAvOLibs3c3ErLMiwnXMvOhOwrzNOHqZmWDU4zdp2DqwJ33X\n78QRb+Cqhz9iyZSzUAcE257siqHMTflF8bh/txH0CTDKWULbHMCnVvAk6VEUBbfQs+ryoQxnNTZP\nGN1+LUZfVYezuxnUCs0NXQloC3HHqUlZ2EB1rwSULNA2uQgKLQk/b0QxOQjb5yBmvZWaMTFkxhQx\nbsciepp3kPVyCUpQsHVWL+pOiaZmbAx49GjsAQIGFaUXx2Ptq6Wocjezf36XijsE/ggNjqwo3KKI\nMtWzLPQO4lzdPyhpthG0Q6BbJBqrD1t3E6nfBLBsLkTtVlBil8GIOSSbT8JV+T1Ri8vRNgcxWu1Y\nEnujhO9B6LRoDBnw3YPEnnwmvoAW/C4CI2+jlLvxEU63wl2oq0sw1oN5RDqGeW/J3BOtoU22BnDb\nQhSfhx4GE60mZivegt9el7t8J06Qx06fKuezkGOS+PUlhM+Jcs50lKMJtlXtIqx6NZUn9MPxpzxn\n/rNQypM0Mo8cPsfMX69uwNGQ7bVCiHsVRTkPyEMWoCkAsg/9tv8sXEgMIwkn9jh4YD5NGUuw8jk5\n9O2wvo1Ew1Ks+BD4CNCXTYztYHLfQsU8CAwouBGYAC0qrAQZSzirsGNrF7Ft0VkDxKLGThA3glJ8\nlHaw+TufGDQ0shEHlfjoiQEN0I8wnu/EaD4RHQlosREgHg33UUwTAdwEeYJ07ieN8ThaFxefkHNA\nHyoM6EnFTD+ymYOClipew0keGpJQECRzR+gejaaJhWiJppRHABURjCaS0QSwE8tlRHImQTzEci0N\nfBZ6qAqiOZ9m1uCjEh1d8FKEiy2ABjVmgvhDOu3OlipHa4LYBrU7QPK3dQefqtsTba2xTY99MGgN\n0rmjPVqlJkiinXMq7PlVvvaH/tYjbpSJl16XtBOszANUMO8haa8VFi/H8sPj0FQqxzLxZXm9n5+H\n2CxZybL3OBh6ldRS68Nk0R1Lh2z9qt0ygfPU29uONZTAb29IV5TwdpIHY6Qk9Wc/LCPSS1+DuXfD\nlF9liXm19uAE+ss7ZGJl7Dr42/uHvm8hREdH709QZ5wsI1mzmg/r/R2xc+dOvvjiC8466ywGDz46\ny/+ioiJ+/fVXxo0bR0JCAvX19VgslkNaFv63IoYJxDDh2DrZOl9+Ly5+Se7odAIz/Uj/8HMM/vVU\nnrwc91VJ+HU2er39DbauJi658kMmqb4nvqCAiuvjCKoAITDtc2M9IRxblhkNAhEATaMPj07HSbt+\nZ/LCd7lsxedsezKHgCJDFCsvGUivTbtQqQJMrp+NJiAIqhXs62MY9u06vAYNOrcfb5SG+mQ9zt1G\ner+1B1tvM5WnJBBWbYdhkeSKPAhAuN5O9ehY7BYDGpsPf5SOHdHlCTIBAAAgAElEQVQxWJ7PRvEL\nuj9XSNrKMsoyU1AHofujBah8gqLRqXgi1CR/X4cvQoPoouK5f0wjYFKomBAHikJs9QDC98xDaOqJ\nWVmAK0aPN0FF44g0AhoXN7sqEb3VdHmtkYDRgdesJfHnWnY9EMakjZ/jTtajsfrxxGtJnVNO7Gob\nrlQ97gQd+hoPTsWIybYdcnZjyV+Gzpon5X7hMeBuorrrbhLzq1HdsgCbYz7hHzyN0/89zmBXwoKb\nEL++gmd4Nj6S4Y6fcTWuptL7FI60WmznTyB8yWqZ/D3y5rY/tssGBStQ+p4rxfQgc0JyRkHfc9ra\n7fgRMgZCmEygLLnnDBzBtXRhByZ7osyDGfK3A2sUeBzQWNq2YG+qkAGEVe8xvnAVpz+2G0O8Cer3\nybn7X2W5+m+GSE5H4EffzjDir4SjIdv9FEVJACyKomwH0pGS3/+6XZLjQbQBriSOTPT06CQ5ciuO\n/Uqn+4EfD1LZsS8mZtGFMeSFYqdBDCiEo+U9unEJewgAZxLJBuzU4g/ptqXeWwGmU4KvVagi/+Xj\nJgI1ZxBBJGo24OArehw0mVMgWBFK/KvBTw1tRGUVNiYSyzii+ZkmFtPEo6QdkECqxkLPkBd1C0z0\noYo3Q8Xc285FcTZ6uuCjjmreQuDHxS6sLGp9n48qnGyjkhfxUYqPanqzFDsbaGYtKswkMpkSpiFw\nhyJnQQQOFMIQdFYApb2nwNEhfIcdv1FB4xIhHeohqjf6DsMHpoVoa00w9j5wNMKvs/Zv09DRfVOB\npa+0e91hHCUb2n73umSk12iGL++EMffBN/dJQm+Jk/aA27+XWu/tC+CTydKG8Ip27psvhypeGiIk\nMRdC6r7XfiwjT6NuaWu76AUo3wqn3QHaONDoJEHyu+GBNOgyGG5Z0NZeCEmO9WY4415IHyA9dH+d\nDYtnynL1nTmpLJkFC6bDXctk+xaMvhN8nch5DhMRERHEx8cfU4S5srKS0tJS6urqUBSF119/nV69\nenHRRRcddZ//UXA0ShJkOk7Wi6vflwvIU26CtBOZTwPxaBmChWbW4KeBsPgLqLiqhLCPN+Gz7Cb3\n8SL8kSYqzommcUgkjyx/BsNCDzlVewkY1RRMyUBf5iZjTgV1J0fi6GbCgRGz2knJNSlEbLOTOy+f\nnuX57BuVRITSjAiAooYJP36PKijwanScPX0pQY1CUKsw7FtptacJBNgytici14++2I3fq0XtDRC2\nw4XvGg1eoQN/kPiGGprViRhiGlECAufwMDR1XixbnZzUdx2J82rQNfnxa9VEr2umcZgLyw47ap8g\noFWR+UsFwZCW3ljsIr3AiRIM4jdqae5ppst7VRi/+waV04a9V1dUvkYi99ixKiYCih38YNn0ITG/\n1INQo/EGqOmeQlR5HbmPFKC1+lH5Be7EcHT1dSg++ZzR2PwYRTgKzZiEC5GQg3Luk1CynuYlF6Gx\n2gnfW4mIjKfpBDO68DPR64px7fwntosSaRzsIqJXb2xzzVhG/I2cH35CDLgYpb8FW0IpVmpJYgqW\nngNg/nDpYtQe8x6Sdqg3z4c+4+UxSxwMaFcGfs9SePUsSaavltUy4+IexsgGjOTCkofhx6dhw5dw\n+8/7J25/MhnWfwYPbJZa7x+ekNc762HoPQ5DbGg+mnWanD9fbJLz3OGg8HcZpY88QlndvyEiOZ3I\nA4ULfxkcDdl+BRgCbAO6IuUdtyOrSf7l8QtWzKgY0s7abzCWA6z+WpCGvtUvI5y2GvQgayS2xKB7\noudkLIwhbz+65kbwBfX4EQSQxH4aqdxCAVtw0ECAxnY+JbUhRXdLImUAsBPgV2w8RwaPUIIHwafU\nMp0Drdx248JBgKJQ3FwX8g3JwcRlxPAuNXxALb/Rm4U08hNNXEM8Pek8wtSKvJ+pzpgF5iCR7G9Y\nU8+31PIROtJwsJGu/IMANqwsw8E2irmTHP6Jnix0pNDETzjZSgnTsfELOlIJYsdED7owAz3d0JFI\nJa9Tx4eoUBHEiI4UYjifKl4n2Eq+24i2JOVO2oiq0uG8GdGusI7G6iP9s+pWyn5Ion2kUGvh+0c7\nOaGSVnz7ocNiQa2FQCcEU6WV1lUoUou9/A2Z7JMS2vIr3yp/5v0E714qo9wZA2UBnayTZXXLC2fA\n8OukFrzFDWXb95Jo55wKwzpITv7+Jdiq2qLjJ/9dLijKt0vS7emwCJp7j6ymecdi6aIyfro8bq+V\n/XgP5iYjOi9TP/ZgNbMOD8nJydx0003H1MfQoUPp0aMH0dHRuN1uunfvTrduh2m9+N+AJ3rJ5N0n\ni45Pf5e/ybujJ+FIi+caAtzHPtLR8yO5lPAQXsrpu/ACMoq20/j3r3jMvZRZXW7G389N45BItPt8\n5KwswljiRuhVeGIBXxBPqoGmvmE0DgyXWSDboduP+yi8NQ13vA5HXBzm2lpsvkiiX7bhH69QnRlP\nzi4HPq0Gc42boiuTaRwaQWCzmsyVpVRGxJFZVE7XbcX4GrRErbOx65GuNKTGEVtcS9jHTsI0VgyV\nHmw9zbibBD0/L8HeIwzzXgfONAOqPAj6BQlLGlD8gqBGha2PBUc3E6YSN0JrQq0oIByotAaEz41l\nj4PSScnoq7x4YrXo6vyY9oVCOD1Ow3/qySgrZiNopGFYNKhVRK9sJHlhfWg2CdAUbeHVSR/x+KfP\noN+1qPX2G6ps+NUGFLw0DLMQt8pKwFMn36eAEpUhd9xmjOC6Bz+jMiGTFR/MxD2oCzkzn0QJFIJ5\nLWZHI42XT0Bfn0nkvIVoS3fBD8XQVEaweguBqDjiwoZjjOuJhSEoaWqYZT+wcNawa2T13KROClYt\nmSVrEgyYKOsSDJgI39wPejOmsx/GRK5sd/JkmUCZv0zOkeZ2dTd6ny1lcC0uTqfdAeEJcPrd+7s0\njbgRmmsOn2jXF8OMYdDtFLhr6eG953/4t8URu5EoiqICrgYGAVuFEK//CeM6LvhX+736EPRjM1Fo\nWE6fg7bLw4mHYKsW/FesNBMgiOATarERIBI1b9KNpyljIY3cThIvIUs7txS8AUhDxwSiuYRYbASI\nQEMUGnqxqZVimVHxBl0xoeYKdrfG0YdhoQ8mYtFgQcM4oriBvRTg5lt6EtFhLRZEMIAt+BA8SAqL\nseIkyJZQnP0J0inETRVeZtCFZgKU4qXXHxFtgCkWXPEK7ge+IIoz9zslfVLfR0ca0Ywngcmo0FHN\nu1TxDkGsJHIHSdwAQAE3Y2MpWpKJ4FQiGUuAJhpZSBMLyeEzzJxAHf+kFJn8Es7IkMYb9HTDw17a\nfLxz0JOGjSV//DlaoQAqcr5KwbzkJ/44Qn6IRE2VGvQR4GroeIJOCbyiBnMs2EM67xZ9dqfDVMNV\nH0iJR2MpNJYd2KclXvrNLnxSkuKEHpD3I9jrYdBlUJEHST1ldMcYKe2yzpwmi0OAbPfdNEnIrZUy\nmrxjoSydXFckf+99tiTuQsDtRilR8Trllu2MFtvDIExLlcmhqf1koZwnCiEmJHXyeaB4DUQkH75P\n+B9h0QxZOGjoVa2HKioqEEKQkvLvG236j3Ij+fBqSUAmvdXpaUGAJhYRxuBWzfWh4CXIcLYRh5Yf\nyOV7GogLRbZrWIGGJqJfnAEl6/npqS3cabYxmi1Mts4g65V8RJOCyenBHa9D1+RFoOCKM+FPUmPZ\nZKN+VBQVFyUSsd5G5nvl+IxqFEWgCoAzWcfeezLp+WABnwy9lJnjpzD78xnECg99Vs2l8MYUnBlG\nurxVjrHSQ+OJFuJWNuEzqdG4AgS1CsVXJ5P5QRUqT4DdD2TiN6vJnFXFjscz0fp9qL7XEi8qqDov\njuQvqohd0YQz1UDQrCUir1nm8phUVJ8VR8zvTeAPQ9fQiNoXBGM0TRkuSq9Ixh+jI3ZJPUGzhoYh\nEXR/pghTqRtvn6HsvqKOHjPrCPqbyXsqm4w3S2kYHEHqN7Xoa70oQHN2OsbqRgpvScPi6E7Sj01t\n8rX4bKgtwGcCf9feGLZtlQGH3uPhlvnw47Pw3TRePP8OKmPSuCdsJPFrXiOw8wfUjmbwufAPmsDO\n87cRCNMRv6iW5MozICkXd9E/KbjERZd3yzGXBaUXvynq4F+IhhJ4KFMmLt7ezkuhsRweTJeykedD\nc6UQcGe4TJp8pkNx7MYyGTU/FqeSI0HAB1/fDZlDYdClx7dvRwPsXS5rNPyBver/cPg4rm4kwF1A\nOfAVkKYoylQhxMxjGeB/C7QoPEMGW3FwBjv4B13J7kSKcQMFWAmwKeRycmq7xMnRRLIJOyMIR0Gh\nP2aWYiUNPcaQFaAPwUwyeIUq9CjchCwE8hbVzKGWG0nkflKYRSUugjgJ8gAl/EQv7iSFbTiYTxPb\ncbKWZvzANcRzLtG8cwjpvT8kP4lBw2XEk4GB6ZSSgo7riefCUALTHlx4EYSjodfhfsX+9gFGEcDY\ngWgDCHwY6IaHIiI5E1UoeaqebwhiRUGHpt3OgZm+2FiBnwZSmIoKAyB14mosGJBEzEA2OtKJ5hwM\n9MDBNlTo8LCXJO7GyVY8lOJmJ146Rt0O9O+WmvDi1lEj/BhXLpUks3TjQaKuIRIeFiPdSdydWNUH\nA50QbTiAFGuNUooiAiGiHep77P2wbZ5MvGwh/CdcAHkL4YIZMOQKSYzvPUjBVq9LllMGSZZ7nSUr\nO75zmaxQCVC+WSZKrn5fllqePRb6XQRp/aVf7aS34O2JsPFL2f7b+yExF6pCxW3KNsMNc6Wc4K5l\nMvouglJHeV+S3AK2VctIUXIvSfITsqVVYAucjfDSKHnNaes7/yxHAp8bvp0Gkcn7ke05c+YQDAZ5\n4IHOi13s2rWLqqoqRo4c+f9iKfgfh6s+OORpK0sp5i5iuZQ0HvnD7nSomE9PdKH9pPEhgr6r6Fce\n1NZwRupIbrxlAXjsjDJbeI+bCKcv6VUvoa86E5dOzhfGGrmvWDMiBneCmrSvJCGLXGvDmWFEV+dF\nEbA3cxje62tRBYLkfJ5Cxjd1VJ4XS2ZeIZlVxaTsXY85PoeaqDgy3ilH425Lcm84JYr1Sf0Y9uNG\nIoNWRFDBmRTGz1OGc9I/N5H+USWKL4jSCFOZyVX7PmRUzm8ES9Wom4JYityoA7Bvciq+CA19p+wm\nYFIhIlJIXdAIbg+VZ5hIWhQq/O5qoGlwEmF7XcTOqcRU5EIJCBK/r0Nf74XMoei2rSbzg3gUWxN6\nt6DrrGLCijxUnpfAzse7EbnORvqcMsLyS/ANOwdXchEaTQr0nAuP95I2nLV7QQi0AQvabVuh77ly\n0WqvlcW1avaAoubOb15GAdZkXUt84RzU7XafNLvXkD27mT0P56KcNgnErdBYhvbsKZjFY2iD/wSl\nFu5PgUd2gM4sI87qDvJPSzzlyadQTRb92x9f/5mcYwZe3nZMUeDBzVI21xFRqfLfvwpqrcybaYHf\nK73Ge4+Tc+CxYN7D8Ns/4Mbv4IRzj62v/+GwcDRkO18I8V3LC0VRLjmO4/mPxzlEU4mXarw4DyIb\nuJNkHAQ6tRN8mQo+pY7X6MqpRBBEUqpU9GzgRBrxYSVAFwyMYf/VfMvDRQdcSTxXEs9CGtiNixxM\n1OLjacrJCrmC6FDojYWeGNGgMIgtfEg2uaFI9OfU8TE1vEEWqejRoWIxvdCFfDXK8FKGl5l04azQ\nWNbRzFXs5XJieYg0DguNZbJyYNawA04JBA18h4KB3vyGpl3yaAbPUcbTGMjESM/W44ncSDinUMlr\nuCls3Qq0MBxBICS4gTD6E8YAqvgH2czBSBZ21qEnCzO9qWQGEYzBQyEqDERzAbW8j6yz6cVADmZO\nxMIwwE8xd7eOwUAPlJLtbH2uC9mv78Z8MHmDErImzBkJ/S6Gdyd23u6P9N4giXZ4MtgqWu8eGoMk\nuCUdyOeWufLn1m+ln3bxmv3Ph8XLZEtno7QKVFSyOqWjTmoST79Hbv2jyIeCIVxGhaYsgYVPSxut\nTV/JfwCP5MF5T0kHk34XSk1t8RrZb2SKLHYDMpKs0ctrXDJb6njtdVLC8tF1kuhf+Z50LBl27f5j\n1pmlm0D7cvPuZnn8cKI3e5bBuk/kWEyRMjn0rqXSkrAdxpxyEgHl4FPn8uXLqaiooH///oSHh//x\ndf+HQ8LCYOK4imjO+ePGISR2cDMh4KP7zLG8aYlm1TN5UvOvN6PBSRh+jPgJczkon/QPPnTu4e+L\nPiTOVs/isSPIMu2leagFFQopX1WxO7oHntVmBu1ciydSQ+7ezRSVdkctzBiqrdRl1tA0OJr+O0uZ\n/+FzqGor8NaWofO2PRGEAo6MMKJ+t3HS9nzKb49GmesjYqeTPtN3k5FbTvUF0XR7qUQWyMkxM/u5\nu8hyFmCpcbFp0hAyX96FscaN36AQszWF0iY7AbWCzhYAWwkYIggqaqI22Sm+MpHEnxow1HhJWCao\nHK3CUOJG7ZPEX98YlDtSRasBBZ1NhSvdQNgeF9Qn4HvqGxT9PWR+sAdLXhNKUIUwh6OLG0qvrRNQ\naSJh+Xi5++S2yURogCUvyrnk9Lvhyyky6LB1npwvkAsOryGK7BMGQcW3bUGF2Eypd173GX3vK4az\nI2D9OChYiXrCs3QZ+wJMeQi+mgpFv8uCWC+NhEGXH7h40xqYG3EBbrebfkLIBXDxOljzsZwvzpm+\nf/uORbf+bFTtkruX8X/gMZG/TObPlG2Baz85tmsOvVo+e7qNOLZ+/gvRwDzsbCCVB1sDe8cDR0O2\nuymKMhioB9KAf/E3898fk0nkKuLRH6TS2QWHsLA6h2h8CE4M5ZteThyXt6vMGIWWqFDiZkeyfhcp\n3EYy2tDxLTiYyj5GE8EU5Jb3Q6SSgZ5lWAlHw62hqPhH1LQ6UregAg8leLG1kzdEouEFysnCwERi\nGU3EfmXqu2BgFOEM5whIxvuT5JbWE4X728wBCgo9+AYF9X5EG6CBr3CyCSeb8FFFN95pPediDzZ+\nxUyfVrJt41cKuZVYLieNhwBopiXaq0HgR4WJNB7BwiBy+BQ9XdjHNAI4qOV9whj8f+zdd3hU1dbA\n4d9J741QAqH3TugoIlgQvCiIiA0FBbHi1eu16wXrVfmuWFBBsSAiKlVQpPcuECAEAgmBAOmBJKQn\nM7O/P3YIhPQ6Ket9njyQM6esM5k5s2afvdcmk9OYiMeR5nhzG2FMxoWAvGO70o+WfEiM3yyybTZg\npEcUPGdbB91i6tcDjq6EyCCIOlr0c2QY4OBWsA/ztVLj8/9uysyfaLs31rcQLbmt8k6eVxLifPu5\nZvJWZdHHHvCQbqHf+2P+coRpCbDnB/3YiY0wcKJOjI+v11+m5o2HB+ZCyAa4FK1but/rqRP0Jp10\nt4+g1bpPtq2Drq6SlQpDn9F9HeNCoddYnXS/4gdP/Qndb88f45zR+oN3pP7bEh+u+wP3nwD3zoa1\n/9UDpFr21TEd/VO3xtvY5p7TAtj1LfQeD51zB/K0vaaiaVYavZfdDX5dYdC2Qv8EY8eOJSkpqcoT\nbZPJRGBgIJ06dcLdvfAxIXWBLe7483IFd2KPMfp9fJ29uPOqrii2uNCNTZCdjvrajSb2TsRMeofd\nnQfj3XE0DTv+jyQfL+ySTdjk6EHmPSKC9UC6VuB4Zh/KSKHR8qO4nMkEBX62PfBsPgn3fS+CJQJG\nvo7DX++hMDBQpHq4YutqYkfL2whtM4SnNz+Hx/8MLD4NwNcPlXQKp5hMWv4QhaHAUOAVkoY3R8ny\nssXk6oIxMInMBDu81oKlVRfc+vxOj1ebYoMjefMA2zlgk2nGMcFMZlNHLlznSdOVF3CKiKHNd+QO\nem5EUutULlzvRYuVCdi7+YJ/b3KcTJwffgafA4kEx7XkpkRFl+8iIeaqwddpSfD7a9g5uesvtbnP\nM+ac3CS7of7dzgFQcP+X8NVofd3IzC1b6uyNQ0YiPnvnQsAYXd8fG0hP1nfR7BwhOQp++yc0z627\nvuF/enD4shf1+7XPvfrLtF9XPWC6EI/38YAMMHb/oGNd/TakXYAmna/U2S7K/En6enHtwMjK8mF/\n3Sgys9AJs6/oMAwemAOdKmGQYat++kcUcIEVpLKXxjyGI5V3J6M8fbZdgX+jp0gPAjYrpdZWWkSV\nqLr7bNc02ViYSyyDcc/rHx5PTm4t7MPYY7CnmHqXutq1JV8lkURMDCGIjjizhPLXJs7nwG8QvhvG\nziw4uKUY6RzlIitxoBVu9MblqngUFlL5G1cC8r6dmkgiilk0YCyu9OQiK4njB7y5k8ZMQuXeRzAK\n+Q6aTSQRvIEvD2DmEtmcw5d7SWU/0XxONufx4S4ushI3ArDDjyRW4R99Hw3feQeUKf8OHVx1Imy5\n/EXmqj7d9s764uvkpstIqWv6cts66A+0y+sHjINzgbkDI43cx68dAGmjE/ar9+XeGDrepG+n5q1m\npxNcBzc4tOxKNw/HqxJ9eycw5egPnuunwrYv9LTxhqFboW94XPfxfqszpF/UH4KRR3TLeHa6Hkj0\n6n54vZV+/N7Z+q6GRemBl/Fh+gNwZpweDNllBPw0Wb9GLntuM3Qcqv+fcQmcPWD1u3pinuwM3R3n\niZXw+XA9cNKnpX6sz3g9i+bPT+oBoFOX6pb/Q8vhrg/Bp5U+756jIWBsgdcB5hyYfTv4dcl/i7ec\nzGYztrbF1wYvytGjR1m6dCn9+/dn5MiR+R6rVX22r5V6AT4bDr3H6b7/Vem7B8HZC8v9/8e53e1x\nSnSk4W6DQ6ketLZE4tgomcSbe+B3qBE2pw/qL4oA7W8kZ8JMjOUvk+h5iPP3NcF/UQzOYQaRj/rT\nfEkiLmeSYcwH+v0SsZ/MtHgcDyxGeflDynnuf2E+Qa27s+nt+2iSFKdfs89tJmbNlzQ5/hsmJwPD\nDLaGK8q9IWkmA0dysE8+R7aXE4Yph5wbxmFvaYBN487Ybl0AEfu4+lqiAGUHF/79Ct6LVmB7/hQW\nZwdM3QbjePQgDJzIuVG2JDiupOM7p3CONmEoCwo4186PxmcScDTl6DtQAyfCod/zdWlLmTQN2+hz\nuKxdceU5bdBKf6G/nFCD/gLc737dzcSw0ZWEIv7WX46zryq9euuLsG+hTrAvc/LQ++p+B7QaoO9K\nnNys+38vflZfs7LT9H4/SSt8UqsXG+rX1eXh6r3vgZD18OIeaFKwNG0+Hw7Q41neiyjYRaUoWWlw\nMUJfJ0ryx1v6C0lVv9ZFqeSQQA6x5Zp8p7jrbqmSbcMwngImcmW2jryHgI5KKb8yR1UN6nuyfa2V\nXOQVIniXFrTHCRuM0g1evMYx0vHGDr9KvMVSEcf4B2CmC2WbwPQs07nAEjqy+Mqo8xKc5GHS2E9j\npuLLPQRzK5dnqWzPD2QTm1fXO4WdOCf54LP1HI0ie+rENSlGtyq/tAeig+HHR/WFNjtNDy605OiB\nfg3bQWyITg7PH9H/d2mg+3Y//J2+JdtlBHj46enel7+sW2gtRQyyNAzdinxZo47QazREHb8y26SN\nnW7pSUuAu2fBb9N0S3mrAdB6IGz+DFDQtNuVVviuI2H0f+GXp/S08HEndAyzUvTAx9gTuhXqyzv1\noMrLcQx/SSe2F07rGtv/8tIf0s5e+lbzba9Ci97wzT16Fss+4+GbcXrfzQN0X0Of5rou96/PwJMr\nr9TMfauL/nB+/5xukX+3B3g3163yba/Xx4k9qb/k3fw8/PmWni7esIVX/ob3A6DnGL1ur7HQsE3+\n5zIzBZIiKzQRDsCmTZvYtWsXjz32GI0bF9FfvhjZ2dns3r2b7t27Fyg9WKuT7Qtn9N+wz/gS+3NX\niMUCLzcBVx+YEUI8P2GHL96MYNGiRQTse5uO2acwph/Td16O/gVf3K6r5EwPIcj7AQxsaTb3CBev\nc6XxH8mktrcn+p7GtPwuCo9ge4yPYrD9tw8qMwUDxaqnF3KHVzf4YwZn4o8S7e7NoLhoncz9ayu0\nH0J2VhbqdT8c0hKxONlhe93T+s7Xkyt1onn+CJbZwzCSLxJze1OcolNI7ehB8z3+V7qD2TnplmVn\nD11lKO4E+LbR15zOt+kv5vFh4NsGy9RFZP0yCqfwBAwUFht7zr9+Dxf8DtJmdhSexy6hnD0wPk7W\n5UA3fQoozN1vwTi+kQuDvWi45aoB2P0f0kl0jzt0CzdA0+6668Pyl/XdpcYdYdFT+gt80+76OmPK\ngkd+0t04/tNez6bbpIs+p1b94YXt+lq59St9vbnnUz0hzbmDMO8+PQDy0UU6eb92YqxTu2D7XH3+\n//iP7kN+tbAdehzJvbN1ff+rmbL1defa+trF+eFhfafstYP6elWUjZ/o/tedby16HVFrVMYAyZPA\nYKVUzrUPGIYxspD1RQ3kjwMdcKIFjnSvQFn0LuVI0KuSE20p7UyQSWzEhU440Ax/XqcxU3Gk9FUl\n3BlABsdxoQf2+OHHs5hJx4VOuNGXCF7jIitozFSyiSbTK4rI0a74MB87vGHtBzqpaxGg+yo3aKlb\nUfuM1x8ooAcQufnqRLVFb91abMrK36ev83D9AZ2ZoluVMfS/gx7Vt0cdXXW/xPCdev0uI3Uif3wD\noHSSu+4jXWqvSWeIOa67blw4rT8Af35cz0DZZQQ8sUKXGbSx1etcTrRt7HS/aW9/vcze6Up8ief0\noMc170Oz7nqCkXdyj63MusvIa4FgZ6c/CJVF72/kG3rw1IpXoOUAPXhp1HQ9yPKVv+HEZlj6Anw9\nFib/mtuKZcDWL64k24nn9DlcPA8NmuvBU9dq3AFuf0M/fz4t9ReAXmP0B+3L+yAqGBY8AvGn4IFr\nCi4tmKy73rx5tHQtV0VwcXHB3d0de/vy1fN3cHDgxhtvLHnF2qZBK11hwrGM16icrMJbNYtiY6O7\nEeXW927IhLyH2rVrx5qYqfjeNw7fRs1RWEjqZuDeLgC7sED4aCBN+7uT3iAFG7dGZHtmYvR9jOyT\nsbQOvhnP/VNAWdi3dzcDnlpF+p9v4XpiE7cueAE+jIa+9+163SUAACAASURBVNLqu99p1ect6OYM\nMSeh/RAAHBwdUR/FEHX6fmztm9Hkj3B9Vyfzkn5OGneAoc+TFfQ1PruicEwy4xZpD9eP04mpja0u\njdnuepJYT3zEK7SZlYNtzHF9cknn9fvx+4mQEI7NNw/gfDEJBWxrcjedn/wSpwabsbGcI3l0e9xP\nrMLs31J3FlQWnXR2HYlt0B+Y7Qxcw9I53v9lOmeG6P7Yscd19aPGuV9GPZpAVBCs+S88s1ov2/mt\nfp+7N9Hn1e9+uPXfuvVZKX0HKTNFn8/ASXDf7Csl8254XL9PW/XXFUXsHOHz3PkHPhwI0Ufhv1G6\nZblJJ90a3fa6QscE5Tl7EE7t1Nexa5Pt0pbqu1q3f+ReW1oVvc7Fc7DkeT2gW5LtOq/M3Uhqk/rc\nsp2Nhf8RRT/cuOWavs71VTrHOME4PBhKW76skmOYSCSNI3hyIwpFMMMxk0x3tuf2pyxqw2z9IVNY\nsvCCj04ee43VLUKXYnRt68sj9xt30n2aX94DM6/Xy5VFDzrt+wBsmKkTyosR+lbrhHm628mWz3VL\nsjlHJx0t+uiBmhcjIO6Ubon2aQF974WfpujWNdvc/pfPrIUOQ3SLz7avoEVfOPibbpXKTte3ib97\nEA78omtvB4yDd7rr7ig2dnqWyua9dU3a+RP1ubl46T6bD32r49v+tU4uPoiCv97TrVFNu8Lb3fSX\ngmY9dGvg7JH6FvPI3Oogr7fW0813uQ2mXXW341Ksbmkb8pT+kpOdDq+1gEYd9ICh3uN0KyfoSiTb\n5+ovQteMI2DvAji0Qs9a6Vy+ftnHjh2jcePGNGhQ8SnIC1OrW7bLI+E0vNsdBkyE+78o3TYWMzzn\nprs3fRCpl108p8tUGgbcNTOvhTSZbYTzBD7xvWg5/yzq1E6UYYONjR3KnIOB0i22ZhOMmsGlcyGc\nPPw3ze97EaPhNmJ/W0n3zUt06/Kz6/SXw53fwZtHdFk6ZYFXD+qycja2uvX212f08l53QY/RVyri\nvBegrwG3vaLvcLn46O5Y9s4w8nX9BblFb1j7AQnd0nH9fiZOUVkYAx7Wd3e8mulSnRaLHtPg3UK3\n9los0P4GMGUT//YgTqY74ffsF3g2OYmP3Z0YUSf03aCON+nxEYMfJ8OzJeu27CCzx93c63IcVr8F\nbW/g2PBPCTl6mDtsD2Pv6KzHS4z5QN/lumzBY7Brnr4mufrAB9H6ToNHE3h2vR6sbM7W/eOLqgLy\nvKdO1l8/pCerWjVd30Ec8DB8dad+jsb8t+TXglK6pb+kQYqloZRuVGnRW1+DihO4TL8mrk3wRa1U\n2aX/RA2xhxQ+IpK3aUG3a1qbI8lmAfGEk1ntyXZWVhZ79uwp9PZ2VlYWjo5FJ52JiYl4eHiUux9r\ncZxoR2Om4s6gklcuJzu88US3NqZzhBwi8WBI8Yk26K4LOZnwzrUT0qBbdnZ9q/sxnt2vJ0YYPBXO\n7IFR7+iW49R4PfDv9v/omRI9GuuuDqFbdMuPYegPtbs+1NU64sN0gntklW7x9vSD6ybp4/m21n2Y\nLw+cTInVreZezeDRn/Na4ABdmm/xc7pl5vh6nbQ//N2V7UB3k0yO0lVNslJ0t5D9ubd7vfx1snvT\nP3WSkXgO2lynW8z7PagT/lea6qoo8WG65OCNT+tz7DNeJ+gvXdWXG3Qys/KNghPoHFysW/Md3XWr\ntq2D/kBs3BFumJp/XXsnHVNhBjykf8opLi6OxYsX06ZNGx56qPz7EVexdwbPZvp1XFo2tvDy3/lb\nLg8t032GATrekpfgutGHRjyCd8ORpN5twvWjAAxlgdcOkhN/God980nGGc+gBcR6d6XxhP+j75CJ\nJPAb5/gva8eMICpzDLftXgF7foTdP4DFRPhfb+Ls608Dr1Y4fDxEJ+yTF+kvyMqiu6wcWq7fw5eT\n7Ra99RdHB1fwaUHO7TNQJ7fi4JibbIN+7//+Gr57O2MZ/C7Gkhf1oOYed14Z/GtjA9OPXzl3cw68\n3xuiQ/AxbGjv0hxn77a4O+Qmgltm6y/5bg31F+aG7XC+8UmGD34MBwcHQsNO4hYdid+Q+zhx/AxB\noREMmvoSfolB+nm9tvLFdY/ou2fXTwXvZvrv0ekWXdffy0+3dJekUXv9XFxuRb9Dz5vAhQid6HYY\nVrrXgmFUTqINuhvU76/p62xJyXZh40JE3aSUqrM/+vTqrp9VnOqsDqrV6mKhj+9Tl1SMyqrmqJQ6\ncuSImjFjhvrrr7/yLY+IiFBvvfWW2rp1a6HbRUREqBkzZqg1a9ZUR5j5WFS2ilZzVJoKKse2piKX\nx6ofVJoKLnknc8YqNfv2oh835ShlNisVvk+p2NDi95USr1ROllLH1imVcFov2/KFUq/6KxV1TKlv\nxiv1BEqFbFLq5DalnvNUavs3+feReF6pTZ8rtWeBUodX6vUXTCl4rJwspTZ8rPf74UClFj195bGM\nFKXOX/V8vttLqScNpWJPKnVii1LpycWfR3KMUqumK/W0vVIr/6PUhbO55/Kljmf3/OK3v1ZWmlK7\nvi/5uFXMbDarrVu3qtOnT1fZMXKvfXLdLausdKV2fqvU3p/0e64IB1b+oE7t36bCwsLUjBkz1O7d\nu9XJkyfV3DceV4cOHshbLy0zXkVkfqqC1Gl1OjtJqQOLlYo/rdS/vJX68VEV805nlfQvDxVy6bTK\n/jRARYaMUdkqXr9vfn5SqbREpc78rf+91n/aK/UE6udvv1TvvvuuSk1Nzf/4p8P1+yR8j1JLXlDq\nhQZKBa8t+twTz+v351P2SkUc1M+FUvrYybFKJUXp64E593p3fKNSHwxQ6twhpZRSn3zyiZoxY4bK\nzMxUWVlZKiYmRilV9PUxz/kjSqUnFb9ObXPod6WiSnHdF3VKcdddqyfEVflTqy/6pWSNZLokOTk5\nat++ferSpUv5lsfFxanPPvtMHTp0qNDtkpKS1Pfff6+OHj1aHWHmk6y2q4Oqszqlni3TdvHqV3VQ\ndVeX1J4qiuwqZ/brD8OFj1dsP5FHldowq2AyceGsUvMn5U+QldLJ+5d3KnVgSdH7zEpT6nlPpf7b\nt+h1kmOVOnf4yu8Jp5X6/uGCx7vsnR5KTXPSH/bBa5Ra84FSFot+LO5U0ccpTsIZpb4ao1To9vzL\nUxL0F4WzB8u336ut+a9Sb7S58uWgDM6fP69WrFihUlJSKhSCJNvlZMpWatUMpcJ2lGr1qKgo9emn\nn6rgYJ1Ymc3mfI9//fXX6v3331dZWddcp3PXM6UnqYSUKKWUUjHqG3VQdVax6vsr6108p19Lf72v\nVOBypX5+Uu3buU1t3rxZqeMblNo9X23btk0tWrRImQJXKLX8lSvv6wNL9Ps2JT5vd9kqTmWqiKJP\n6Nxh/T692tvd9Hs7OzP/8g0f62R+/29KKd1Ycvz48XyrJKsd6qDqphLMi5Va/C+l9v2cfx+RR/U+\n5t5ddExltfI/Si19sfL2J0QpFXfdlW4ktVzjGlIR5Gp2dnb061ewhmfDhg2ZNm1akdt5enoyadKk\nKoysaAnomQ0bcHeZtrPBBTs882aprFLe/vq2aNvBRa+z4lV9G/ORhflrwlos+jZy+xt1v+fCZiAL\nWa9vbzdoDc26XVnu5gtP/l5w/as5uMBbobr7xfnD8MU/4I63808849FI/1x2fIOOqXGH/Me7bMBD\nui+6k4fui3lmr+4/3qBVwQohpRWxHw6v0OUI2131PJ7crPvR2tgVXz2gNFLidZ9aU2aZNw0ODubQ\noUO0a9eOrl0rOEucKLtzgbqL0tkD8NRKOLpaj2soYnCdn58fzz77bN7vNpffc2s/gO1z6TLwfaK8\nvLCzu+ajNnc9W2dPGuTOIOzLvdjijjejrqyXk6lfS6nxsHMnHP2T4y3dOWty54ZXX8XW1pa8zhmz\nbtKv40GP6PdU77v1z1XCeJQsIunBTmwKmd240KnIu47U3VKuHSh403O6ao9vawBatGhRYFMbHLHD\nE9vkTNg0S1c16nf/lRV8WujrTUYhM+eW1855eozLXR/mThomhPXJAEkhgIv8QTKbacHb2FagUovV\nvRcACeG6msPVpapCNsGnN0Pf+3Sf0MKYTXBsrR4AVZYyV9da/Y6uHTv2Q7jlhaLXM5v0JDcdhuav\nZFKYqGDdZ7vn6PLHdVn4Ht3v9erkwWLWlRTaD9VTPleUKbtcVQyys7M5e/Ysbdu2rdBU7/VugGRl\n2v8rtOynJ536p4seq/D+ucLXjT6m1x/+Uv7qKUv/rQcOvxaoE9+KuPxaSo6BuFASvDtjMplo0uSa\n8nYXzugvp8VUtohlHtlE4c+boPTrrbgxNJXq1C7dYOBzTVL+UmP9/n+vkMm/yuPiWf1+zv0SIER1\nqXCd7dqq1l/0hSirjGTdGuZxTd3mnCxYPxO6/6PiLbcl+bevjuPzrKqZca0eUkoRExNDkyZNSpWE\nS7JdSXbM03d2eo0p/PGFj8OOr+Hx5QXXMeeUfhIUK1i9ejUHDx5kypQp2NjY0KhRo5I3qgqpCVcq\nkghRi0myLYSoPqHbdRcKqR1baQIDA1m5ciXDhw9n0KCSq+lIsl1NkiL13aABD9XoxLowe/bsITAw\nED8/Pw4fPsykSZNo2bKltcMSotaS0n9CiOrT/oaS1xFl0qxZM9q2bVtov1hhRV7NsAycBEBtu4cz\ncOBABg4cSEhICBkZGVVW810IIS3bQghR50jLdvmEhoayZMkS7rrrLjp16lSqbb755hsyMjKYNm1a\nhfrZCyFqN2nZFkIIIUqglMJsNlOWLwseHh7Y29tLoi2EKJK0bAtRjIyMDJycnOSDVNQq0rItRM2T\nnp6Oi4tLySuKWqm4625t62YmRLWJjo5m5syZrF+/3tqhCCGEqMWCgoKYOXMmgYGB1g5FWIEk20IU\nwdnZmUaNGuHr62vtUIQQQtRinp6e+Pr64uXlZe1QhBVINxIhhKhjpBuJEEJUL+lGIoQQQgghhBVI\nsi1KZDKZOHz4MJmZmdYORQghhKgRYmNjCQsLs3YYohaQZFvkUUqxadOmAgM4jhw5wooVK9i1a5eV\nIhNCCCFqlmXLlrFw4ULS0tIqfd8Wi4W1a9cSHBxc6fsW1U/qbIs8WVlZ7NixA19fXwICAvKWd+zY\nkYSEBHr16mXF6IQQQoiaY9iwYVy8eBFXV9dK3/elS5fYs2cPLVu2pGvXrpW+f1G9ZICkyCcyMhJn\nZ2d8fHzKtF1ycjJLly5lwIABcmEQwspkgKQoTkJCAr///jtDhgyhffv21g5HFOHs2bN4enri6elp\n7VBEKcgASVFqzZo1K3OiDTrZPnfuHJGRkVUQlRBCiMpy8eJFzp8/T3R0tLVDEcVo0aKFJNp1hLRs\ni0qTnJyMu7s7NjbyHU4Ia5KWbVGSpKQkPD09ZXZcISqJtGyLauHp6SmJthCiTjObzQQGBpKSkmLt\nUCrEy8tLEm0hqolkRvVAQkICGzduJCsry9qhCCFErRYSEsLKlSvZtm2btUOp1bKysti4cSMJCQnW\nDkWIKifJdj3w999/s2PHDqkHKoQQFdSuXTuGDBnCgAEDrB1KrRYWFsaOHTv4+++/rR2KEFVO+mzX\nA6mpqYSGhtKjRw9sbW2tHY4QoopJn21R05nNZo4cOUL79u1xc3OzdjhCVFhx111JtoUQoo6RZFsI\nIaqXDJAUQgghhBDCCiTZFkIIIYQQoopIsi2EEEIIIUQVkWRbCCGEEEKIKiLJtshjMpkwm83WDkNU\nktjYWNLT060dhhDiKiaTCYvFYu0wqkxqaipxcXHWDkOIGkWSbQGAxWJh9uzZfPfdd9YORVSCxMRE\n5syZw7Jly6wdihAiV3Z2NrNmzWLhwoXWDqXK/PLLL8ydO5e0tDRrhyJEjWFn7QBEzWAYBj4+Pri6\nulo7FFEJ3N3d6dWrFy1btrR2KEKIXDY2Nvj4+ODt7W3tUKpMz549adKkCc7OztYORYgaQ+ps13PH\nly/HMAw6jRlj7VCEEJVE6mwLIUT1qjV1tg3DuMcwjGDDMMyGYfQuZr0RhmGEGIYRahjGy9UZY12z\n7MEHWTZhgrXDEEIIIYSok2paN5Ig4C5gblErGIZhC8wGbgEigb8Nw1iplDpePSHWLfcsXoxhWKUB\nTAghhBCizqtRybZSKgQoKfnrD4Qppc7krvsLMBqQZLscOvzjH8U+nnHxIk5eXhg2NeomiBBCVAtT\nZiYWkwkHNzdrhyKEqKVqYwbVDDh31e/nc5eJSha1fz8zGzViw6uvWjsUIYSwiu9vuIHP2rXDnJ1t\n7VCEELVUtbdsG4axHmhSyEOvKaVWlWIXZRp5M2PGjLz/Dx06lKFDh5Zl83rNxdeXRt264duxo7VD\nEUIUY8uWLWzZssXaYeSpS9fdJgEBuDRsiI1djboRLISwsrJcd2tkNRLDMDYDLyilDhby2EBghlJq\nRO7vrwIWpdSHhawro+KFEPWOVCMRQojqVWuqkVyjqA+K/UB7wzBaGYbhANwLrKy+sIQQQgghhCid\nGpVsG4Zxl2EY54CBwJ+GYfyVu7ypYRh/AiilTMAzwFrgGPCrVCIRQgghhBA1UY3sRlJZKut2ZnJy\nMjY2Nri7u1dCVEIIUbWkG4moKKUU0dHR+Pn5SXlYIUqhtnYjqRGUUnz11Vd8++231g6lWphzcjg0\nfz7b33+fi2Fh1g5HiCqXk5NDYGAgGRkZ1g5F1FIJJ05w8o8/8i2L/PtvDs6bZ6WIIDIyklOnTpV7\n+7179/LNN98QGBhYiVEJUT9Jsl0CwzDo2bMnPXr0sHYo1eLYkiX8PmkSm15/nXkDBpAWF2ftkISo\nUkeOHGHlypXs2bPH2qGIWmrlo4+y6I47SAwPz1u29vnnWfXYY1w4ebLA+pfOn2dOz578/eWXVRbT\n4sWLWbhwITk5OeXavkWLFrRr1w5/f/9KjkyI+kdqGZXCyJEjrR1ClbCYzZgyM3Fwdc1b1u622xjw\n/POc2biRhJAQMpOTcW3UyIpRClG1OnfuTGJiIr169bJ2KKKWuuGNN4g+cACvVq3ylt328cfEHDpE\ngw4dCqyfmZRE/PHjhSbihVFKkZ2SgqOHR6ljGj58OGlpadjb25d6m6s1bdqUBx98sFzbCiHykz7b\n9YhSKl/fu1/HjuX0xo1MCwvDtWHD/OtaLGSlpODk6VndYQohKkj6bFfctdfLypaZlISjh0epZufd\n8Mor7P7f/5iybx9+AQFVFpMQovykz7bgpxEj+LhZM8I3bsxb1qBDB3w7dcLe2TlvWXpCAmnx8Rg2\nNti7uPDtoEGsmDjRGiELIYRVhG/cyLsODgR+/32VHcPJy6tUiTaAV+vWNOjQAScvL6L27+fM1q38\n/uijfNWjB6bMzCqLUQhROSTZroUyk5PLvI2TpydpcXH8NGIEymIB4JYPPmDK3r04uLnlrTc3IICv\nunUDQJnNxB8/zpGFC4nav79yghdCiBrOztERR0/PfA0R5ZEaG8vHzZqx5rnnKrSfvo8/zlPBwXi3\nbs0vo0fz4803E7lvH3FBQez+3//KvL+sS5eoC3cfhKgtJNmuZXZ+9BEf+fhwevPmMm037tdfGf39\n94z87LMCrSnZaWl5/+84Zgyd7roLADsnJ4a98w52Tk55CboQQtR1LQYP5qWEBLrdd1+F92UxmbCY\nzWXfLndMzbVu+egjRnzyCXcvWkSLG26g+eDBZdpvdGAgHzVowIZXXilzTEKI8pE+27XM0V9/Zcv0\n6dyzeDGNu3cv8/YpUVFsmTGD/tOm0bh7d7a+/Tbb3nmHhzZswKtVK7xatqyCqIUQ1Un6bFed4MWL\niT5wgJveew8bW9sqO87C228nct8+/hkenjcwMjE8HA9/f2wdHMq938TTp1k0ahT9n32Wvo8/Xlnh\nClHvSZ/tWuzaD61u997LMyEh5Uq0AcI3bODgN98Q/OuvAHj4++PVqhU7P/yQz9q2JeHEiQLbnN+7\nV/oFCiHqrYyLF4kNCgJgz6xZ7PzoI1KioqrseEopvNu0wadtW2xyq4lE7tvHZ+3aVbhLinfr1jwV\nHCyJthDVSEr/1WALbr2VxPBwng4Jwbac5Zuu1f2BB3Dy8qL1TTeRfO4cXcePJ+DRRznw9degFG5N\nmuRb/8SqVfxy551c9+KL3PrRR5USgxBC1CbLJkwgbM0apoWGcvfPP5N89iyezZtXybEWDB/OxbAw\nngkJydeC7dmiBa1vuomWQ4ZUaP8JISE06NhRZoUUohpJy7aVBH7/PYvHj8/XX/paDu7uOLi7l3hR\nXP/SS3zs709KdHSJx7Wxs+NSZCRBP//M5+3a8f0NN7Dzo4/oM3Uq969aVeBYfgEBdLrrLtrffnvp\nTkwIIWqAlKgoPm7WjPUvv1yq9ZVS7Jw5k1Pr1gGQk5FBTno6AF3vvZceEybg3rQpXq1alTvhvXDy\nJGv/9S/S4uOLXMfR3V13G7nmWuzWpAkPb9iQrx951P79LBw5krjg4FId/8jChXzRuTN7PvmkXPEL\nIcpHkm0rObFiBceXLi32VuS9y5bxxKFD2NgVfwPClJWFKSOjVIMYczIy+OuZZ9j27ru0GzGClOho\nNrzyChkXL7J4/Hj+z8+P1JiYvPU9/P25d9kyWg0dWupzE0IIa1MWC6bMTMxZWaVaP/nsWTa89BKb\n33wTgK979+aLzp0B6DVxInf9+GOFq5Mcmj+fPbNmFZja/Wrjly7liUOHSnU3M2L7dsLWrOH8nj2l\nuv437t6dlkOG0KxfvzLFLYSoGBkgaSVZly6REhWFb6dO5do+Oy0t38yPZXFq3TqcvLxIiYpi/9y5\n9Jk6lU6jR/ORry+WnBz+FRWFo7t7ufYthLA+GSBZPiErVuDTrh2NunVj6QMPYMrI4N7ly/OtY8rK\nwsbWtsRGkMJcbtRoN2IE1/373xWOV1ksRAcGsvb557l0/jzTTp4sV1xCiIqTAZI1kKOHR6kT7YSQ\nEC6GheX9vnn6dD709i629nX6hQt5gxrNOTn5HjPn5BC+YQPHli7l1Jo1rH3+eXIyM/Ht1InWN99c\naKJtzs5m05tvErF9e6liFkKI2qbTmDE0yp1nYMz8+YyaOzff4xaTic/bteO7668v875ToqLY9Oab\nnN2+naCffy7z9ge//ZaD8+YBcG73btIvXMCwsaFpnz64NmqkZwGu5n7YyyZM4PMOHfK62wghCifJ\ndg2nlOLrvn35/qo+gh7NmuHVqhWORUylnhYfzyctW/LLmDEcnDePdx0dOX5V68zWt95i0+uvc8Nr\nr9Fq2DAAspKSSD57Fgc3N44sXEhORgaZycl5yXXM4cNsf/ddds2cWYVnCyaTqUr3L4QQpbFqyhQ+\n9vfnQmgocUeP8oGnJ7s//hif9u3xadeuzPsLXryY/V9+SZ8nn6T3lCl5k5OZsrI4vWlTid1A1j7/\nPGuee47owEC+u+46/nziibzHxi9ZwpS9e/NKEVbXddSclYU5K6vCE+TIJDuirpP7TTWcYRgMeuEF\n7F1cANjy1lscmDOHybt349WqVaHbOLi50XzQIPwHDsTJyws7Z2eW3ncfTwYF0aBDB8bMn0/S6dM0\n7NyZiZs2EXPoEMpiwcbWlgsnThC0cCHpn3xCXFAQgd9+y8TNm2k1dCj3LFlC0z59quxcT548yaJF\ni7jzzjsJCAiosuMIIURJ/Pr04eKpUzj7+JAaE4NhY4Nha8vETZvKtb8+jz2Gs48P2SkprH76aVKi\norjp3XfZ+dFHbPnPf7hxxgyGTp9e5PYT1q4FpWjQoQO9Hn2UjnfeWeh6R44cYfny5YwfP57OuX3O\nFwwfTmZiIlP27avUKiT3LF5c4X1E7d/Pt4MGcd1LL3Hze+9VQlRC1DySbFuZOTubv559Fv9Bg+g1\ncWKh6wx76628/5syM8lJTy+2FcTe2ZmH1q/P+z0pIoLD8+dzaP58Eo4f5+5Fi2jYuTOZSUkknDjB\ntwMH0nPiRJ6LiCApIoI9n3xCl7vvpmGXLpizs2ncowcAXe6+u5LOunBOTk54eHjgkvvFQgghrGXA\ns88y4NlnAXBp0ICXExMBWP/yy7g2bJivz3XWpUs4uLkVmJ0X9JTtyydMoNejj9LzoYdIi4vjYlgY\nPR9+GIAOo0Zx5Kef2DpjBs2vu462t95aaDzNBw3K+//ob78tMm5nZ2c8PDxwcnLKW5aTnl5ju3o4\neXvj064d3q1bWzsUIaqMDJC0gkvnz/Pnk0/Sf9o0fDt35tNWrWhxww1M2rKlwvtOjY3FpUGDvEEy\nkfv2sfSBB7ht1iz2zJrFuV27eP7cOc7v2sUvY8bQfcIEzJmZdHvgATrnTtMO+tbm1rfeot3IkbS8\n4YYKxyWEqD4yQLJiIv/+m6X338/w//2PTqNH5y03Z2fzgZcXbo0b88/TpwE9pmZOz570fuwxbp89\nu9B9zRswgD5TpzJqzpxCjxf0yy8c++03bv/iC9z9/MoUa2psLC6+vmWezXLz9OkkhoXh0rAhN7z+\nuu7zXU3ObNnCqfXrGTp9eoVmwxSiJpEBkjVM3NGjnPzjD06tW4dn8+Y8tn8/43JndKyI2KAgPm7W\njNXTpuUtuxgeTuKpU+z/6itunz2b6158EQdXV1Lj4gAI+ukn2gwfTsPOnTFnZ3MhNJSzO3YQExjI\njv/+lz2zZlU4LiGEqE3S4+NJDA8nJTKS1NhYvuzWje3vv4+tgwOPHzzIxM2b89a9PNj9cj/uk3/+\nma+OdrN+/Xg2LIwRn35a6LH2fvYZy+6/n54PP1wg0T44bx7n9+4tMs6YQ4f4uFkz1jz3HHFHj5ap\n3/ORBQs4tmQJez/9lLA1a0q9XWXY/b//seP99/Nm5RSirpNuJFbQbsQIph48SMMuXQA9cUxZJUVE\ncPSXX+j/9NM4uLkB4NqwIc369cMvIAClFInh4bQaMgR7NzdcGjRg0xtvELJ8ORaTiZvff5+MCxc4\nNH8+2SkpfNG5MwOff57wDRuIDw7mhZgYxi9dStO+S+nH5AAAIABJREFUfSv13K0pIiKCPXv2MGLE\nCDyLGFwqhKifLGYzyWfP4t26Ne1vv51XkpJw9PAg8fRpkk6fJikiAgDfTp1Ii4vjiy5d6HrvvQyd\nPp0nDh8G4PSmTSwaNYqeEycy5ocf8vbt3aZNocdUSuHRvDmNunfHs0WLvOUbN24kMyqK/Y89hv+g\nQUzetavQ7V0bNaJp375kp6byVffujPz8c/o/80yx55kSHc3h+fN5cPVqzNnZxB8/TuexY8vyVFXY\nyM8/J2Dy5CodAyRETSLJtpWUlGBvevNNYg4e5N7lywu9zbb300/ZM2sWHs2a0WPCBEDPMDZ5924A\nds6cyYaXXuKeJUt4MS4OO0dHDsydS8iKFfjmTtU7+JVXGPzKK1w6f56wNWvITk0lLiiIbg88gIuv\nb7VfgKtaWFgYISEh9OjRQ5JtIUQ+W6ZPZ/t77zFh3Tra3nqrnsUR8G7dmhfj47G7akIbU2YmyWfP\nkhIZmW8fTfv1o/+0aXQdP75Ux/xr2jT+/vJLBr/yCn69e+ctP3DgAIZhcMc339Coe/cit3dv2pQp\ne/YQc+gQyRERNOvfv8Rj7p8zh21vv42jpyf9nnwyb0xOdfJq1arIAf5C1EWSbNdQZ7dvJ/rAAXLS\n07F1cCBi+3YunDxJ78mTARj0wgt4tmxZZELs17s3za+7Dt9OnfJmPev75JP0nDSpwCxoHv7+PLRu\nHceXLeP0xo0M+te/KnXEek1x44030rFjR/z9/a0dihCihmnWvz8tBg8utBXa/ppB254tWvBSQgK2\njo75lju6uzPys89KfUwnb29Qivhjx/Itnzp1KgBeXl6FbmfKzGTfF1/QafRofNq1o0mvXqWuktL/\n6adx8vLKa6QRQlQ9GSBZQ+Wkp5OdlpY3aGVuQAAxhw7x/PnzeDRrVub9mbKyOLdrF61uvLHQEfNC\niLqjvg6QTD53jszERKu01pZXakwMzj4+ZRooGPL77/w6ZgwBU6Zw5zffVGF0QojSkgGSNURJkxZc\nzd7FJd/o8Nu//JIx8+eXKtFWFgsp0dGc27WLb/r35/yePeyaOZMfb7qJwz/+mG/dY0uW8L6rK2Fr\n15b+RIQQogZadMcdfN2nDxm5ZfoqIj0hAXN2diVEVTy3Jk1KlWh/O2gQ8wYMAPS4nxGffsoNr75a\nYD2L2VzpMQohKkaS7Wpizs7m0zZtWFBEDdXCHPj6a5bcey85GRk0HzQory5rUfs/vnw5OenpLH3w\nQT5u1ozjy5cT9fffxB8/TqNu3WjSqxf+V9VqFUKIuqTP44/T75lncKrgmIzkc+f42N+fZQ8+mLcs\nKyWF3ydP5kDulOmVLePiRX4ZM4bg334rcp3LdwzsHB0Z8OyzBbq8hG/cyHtOTnnTule2nIwMji9f\njikrq0r2L0RdJcl2dTEMnH18cPbxKfUmIcuXc2zpUtJyy/QVJjYoCIvZzMFvv+W3sWPZ9OabhKxY\nAYApPZ3Br71GwCOPELJ8OTGHDpEYHp5v+y7jxvFaWhrtbrutfOclhBDVIDs1lQuhocWu0+/JJxkx\na1aFu8o5eXrStG9fPHMH8aUnJHDo++859N13/DF1apVMLZ505gwnfv+d0D//LPTxybt3c92LL7Jl\nxowij2/v7IyTt3deharKtm/2bH4bO5YDX39dJfsXoq6qt322U1JSWLZsGb1796Z7MaO9rSkzOZm0\n2FgadOhQ6OPHli5l8bhxDH37bXpNnMiqqVM5tXYt3R98EN/Ondn8xhsYtrb8x2TiQmgooatX0++p\np7C1t6/mMxFCVKe62Gf7t3HjCFm+nKePHy/ymliZltx7L8GLF/PU0aPMHzYMOycn2tx6K/4DB9J7\nypQqOWZccDBerVrh4Opa6ONf9+lDdGAgL0RF4dakSZXEUJyLYWHsnDmTG159tdKriaSlpbF06VJ6\n9OhBr169KnXfQlSH4q679bYayaVLlzhz5gy+vr41Ntl28vQs9naoT7t2eLRogZOnJ54tWjDys89Y\nOXkyPSZMoHHPnoStWZM3+1mD9u1p8M9/VlfoQghRqdqNHInFZMKtjDMslsSck8OmN96g1Y030v72\n268c7/bbMWdn4+HvT/tRo7BzcuIfX3xRqce+VqOuXYt9/O5Fi7gUGWmVRBv0Z84dc+dWyb5TUlI4\nc+YMXl5ekmyLOqfetmwDJCUl4e7ujm0Zp7mtKc5s3cr8oUPp/sADjF24sMj1wjds4OQff3Dzf/9b\noOyfEKLuqYst21Ul/tgxvuzalTa33spD69ZVeH9b33kHD39/Ah55pBKiq1+SkpJwc3PDzq7etgOK\nWqy46269TrbrghOrVtGsX79iWzp+u/tuji9bxpR9+2jWr181RieEsAZJtsvm1Lp1NOjYEa+WLSu0\nn+zUVD7w8sK7dWumldC/XAhRt0iyXc+lREcTe+SIDIIUop6QZNt6zu/Zg5OXF76dOlk7FCFENZI6\n21Xk9ObNbH377RpR1/Tsjh182ro1oatXF3jM3c9PEm0hhCijIwsX8lnbtsQGBZV6G/+BA/Ht1IlT\n69ez7b33yjS/ghCibpJkuwJ2vP8+W6ZPLzDVrjWkJySQFBFBamystUMRQog6ISUqiqSICDLLMUnO\ntrffZvMbbxQotyqEqH+kG0kFXAgNJS4oiM5jx1ZoP5ciI3Hy8iqy3FNpZaemVll9VSFE7SHdSCpP\ndlpakddmi8lE8tmzBSaXAUgICSHhxIm8ilBCiLpN+mzXYClRUXzapg2thw3jwb/+snY4Qog6QJLt\n6rH+5ZfZ9dFHPLxpE62HDbN2OEIIK5I62zWYk7c3bW+9lZY33mjtUIQQQpSB/8CBtBwypNCWbSGE\nuExatoUQoo6Rlm0hhKheUo1ECCGEEEIIK5BkWwghhBBCiCoiybYQQgghhBBVRJJtIYQQQgghqogk\n20IIIYQQQlQRSbaFEEIIIYSoIpJsCyGEEEIIUUVqVLJtGMY9hmEEG4ZhNgyjdzHrnTEM44hhGIGG\nYeyrrONv2bKlsnZV48m51k1yrnVTfTrX4tTW56E2xl0bY4baGXdtjBkk7rKoUck2EATcBWwrYT0F\nDFVKBSil+lfWwWvrC6c85FzrJjnXuqk+nWtxauvzUBvjro0xQ+2MuzbGDBJ3WdSo6dqVUiGgZ+Ep\nBavMjiaEEEIIIURp1bSW7dJSwAbDMPYbhvGYtYMRQgghhBCiMIZSqnoPaBjrgSaFPPSaUmpV7jqb\ngReUUgeL2IefUiraMIyGwHpgmlJqeyHrVe/JCSFEDaGUssrdP7nuCiHqq6Kuu9XejUQpdWsl7CM6\n9994wzCWA/2BAsm2tT5shBCivpLrrhBC5FeTu5EUesE2DMPFMAz33P+7AsPRAyuFEEIIIYSoUWpU\nsm0Yxl2GYZwDBgJ/GobxV+7ypoZh/Jm7WhNgu2EYh4C9wB9KqXXWiVgIIYQQQoiiVXufbSGEEEII\nIeqLGtWyLYQQQgghRF0iybYQQgghhBBVRJJtIYQQQgghqogk20IIIYQQQlQRSbaFEEIIIYSoIpJs\nCyGEEEIIUUUk2RZCCCGEEKKKSLIthBBCCCFEFZFkWwghhBBCiCoiybYQQgghhBBVRJJtIYQQQggh\nqogk20IIIYQQQlSRGplsG4YxwjCMEMMwQg3DeLmQx4cahpFsGEZg7s8b1ohTCCGEEEKI4thZO4Br\nGYZhC8wGbgEigb8Nw1iplDp+zapblVJ3VnuAQgghhBBClFJNbNnuD4Qppc4opXKAX4DRhaxnVG9Y\nQgghhBBClE1NTLabAeeu+v187rKrKeA6wzAOG4ax2jCMLtUWnRBCCCGEEKVU47qRoBPpkhwEmiul\n0g3DGAmsADpcu5JhGKXZlxBC1DlKKavc/ZPrrhCivirqulsTW7YjgeZX/d4c3bqdRymVopRKz/3/\nX4C9YRg+he1MKVXqn+nTp5dp/dr8U9fP9ffff2f+/PmYzeZynWtqaipbt24lNTXV6ucif1c517Ke\nq7XVlOfBGj8HDhxg5syZBAcH16q4a+NzXVfiro0xS9wFf4pTE5Pt/UB7wzBaGYbhANwLrLx6BcMw\nGhuGYeT+vz9gKKUuVn+ooqZKSEggLi4Oi8VSru1dXV0ZMmQIrq6ulRyZEKIu8/LyIi0tjaSkJGuH\nIoSoIWpcNxKllMkwjGeAtYAt8K1S6rhhGI/nPj4XGAc8aRiGCUgH7rNawKJGmjhxIhaLBTu7GvcS\nF0LUYY0aNeKf//wnXl5e1g5FCFFD1MhMROmuIX9ds2zuVf//Aviiso87dOjQyt5ltcnIyODkyZN0\n69YNW1vbEte/fK7z5s3DMAwmT55cxRFWL1tb27znoTb/XctKzrVuqk/nWpya/jzk5OQwe/ZsvL29\nefzxx/OW1/S4C1MbY4bC41ZKERwcjL+/f438ElSXnuvizJ07F0dHRyZNmlQl8ZSWNZ5vo6R+JrWZ\nYRiqLp/f1davX8+uXbsYM2YMPXv2LPV233zzDYZhMGXKlCqMTghRnQzDQFlxgGR9ue5eSynF0qVL\n8fLy4pZbbrF2OCLX2bNn+f777+ncuTPjx4+3djj11pw5c3B0dOSRRx6xdihVorjrriTbdcSFCxc4\nePAg119/PS4uLtYOJ8+BAwfYu3cv999/P97e3tYOR4h6QZJtUd3S09NZsGABnTt3ZsiQIdYOJx+T\nycT27dtp3749/v7+1g5H1FHFXXdrZDcSUXYNGjTg1ltvtXYYBSQmJnLhwgUyMzOtHYoQQogqkpOT\nQ0JCAhcv1rxaBXZ2dgwbNszaYYh6TFq2RZVSSpGVlYWTk5O1QxGi3pCWbWENWVlZODg4kFssTIh6\npbjrbk0s/SfqEMMwJNGuAWJiYjh16pS1wxCiWqSnp3PkyBHMZrO1Q6lXHB0dJdEWohCSbFtReHg4\n6enp1g5D1ANLlizhp59+IiMjw9qhiEq0e/du1qxZU+KECvXNtm3bWL58OcePH6+2Y+7evZu//vqr\n3H+LtLQ0Tp8+XclRCSFqAkm2rSQiIoIFCxawdu1aa4ci6oGbb76Z4cOH4+zsbO1QRCU6ePAg+/fv\nx2QyWTuUGqVPnz5cd911tG3bttqOGRgYyIEDB8jJySnX9n/++Sc//vgjUVFRlRyZEMLapM+2lWRl\nZbF+/Xq6du1K69aty7WPmJgYli1bxs0330zHjh0rOcKqc/LkSaKjo7nxxhutHYoopdTUVNasWUOf\nPn3K/XoVle/SpUtkZ2fj6+ubb7n02a5+Rf0tSis0NJSTJ08yfPhw7O3tKzm6sjGZTPz555+0bt2a\nHj165Hts06ZNRERE8OCDD+Lg4FBtMZnNZvbu3Uv79u1p2LBhqbczmUwkJCTQpEmTKoxOCKlGUiM5\nOjoyatSoCu0jJSWF+Pj4Gjn6uzhLly4lOzubtm3bShmmWiI6Oprg4GBcXV0l2a5BPDw8rB2CyFXR\nv0X79u1p3759JUVTMZcuXeLQoUOkpKQUSLZjY2OJiYkhJyenWpPtM2fOsH79emJiYhg7dmypt9uw\nYQN79+7loYceok2bNlUYoRBFk5btWmbPnj0EBgYyYcIE3N3dSU9Pr1F1tUtj3bp1nDt3jkmTJpVq\ntsvaLDU1le3bt9OvX79yt3jVFOfOnaNx48bV+gErykdatq1HKcWWLVto2rRprbrjeK3o6Gg8PT0L\nfL6YzWZycnKqfeC7xWLhwIEDtG3bFh8fn1JvFxoayv79+xk1ahTu7u5VGKGoCKUUP/30E+7u7owZ\nM8ba4ZSLtGzXIRcvXuTChQtkZWXh7u5e6xJtgOHDh1s7hHwyMjIIDQ2la9eulZ78h4aGsm/fPhwd\nHbnpppsqdd/VrXnz5tYOQYgaLzk5mW3btuHv71+rk20/P79Cl9va2pb5OhkfH09SUlKFWu5tbGzo\n169fmberSXcMRNGUUsTHx9fZQfzSsl3LKKXIzs7G0dHR2qHUGRs2bGDnzp2MHj2aXr16Veq+zWYz\nx48fp3379vI3E9VGWrat69SpU3h5edGgQQNrh1IjfP3110RHR/P8889L1ydRpJycHGxsbGrtHW+Z\nrl2IYly4cIEDBw4wePDgWnmnQIhrSbItapITJ04QFxfH4MGDpQ63qLMk2RZkZWWRlpZWpr5uoqCU\nlBRWr15N3759q7WsWE12+vRp/Pz8ZPKiGkSSbes4cuQIoaGh3HHHHZU6tiEqKgpXV1c8PT0rbZ+i\n+lksFuLj42ncuLG1QxFVQGaQFCxbtozZs2eTmJho7VDKTCnF4sWLWbdunbVDITY2lpCQEEJDQ61y\n/E2bNrFq1aoq2XdycjJZWVll2ubUqVP8+OOPrF+/vkpiEqIm27lzJ8uXL8disQBw7Ngxjh49yqVL\nl/LWqej1Ky0tjXnz5vHrr7+WuO6lS5fIzMws13FE1duxYwdz5swhODjY2qGIaibJdj3RoUMHOnXq\nhKurq7VDKbOkpCRCQ0MJDw+vkv0fPHiQb775Jt8HZFHatWvHY489xs0331wlsZQkODiY4ODgck1D\nnZGRQVBQUKHbpqWl8fnnn/PLL7+UaZ9NmzalV69edO/evczxCFHTREdHExERUehjR44cYe7cufka\nLEJCQggODs77kjpmzBieeOKJfJWHzGYz4eHh5b5+ubi4MGDAgBIHB2ZlZTF79mx++umnch2nJGaz\nmSNHjkgyXwEtW7akTZs2UvO7HpJqJPVEnz596NOnj7XDKJONGzeSlJSEnZ0dOTk5xU6Ck5GRwaJF\ni+jYsSPXX399mY4TGxtLdHQ06enpBQbvZGdn8+WXX+Lv78+4ceMAnWBWtmPHjmGxWOjWrVux6z36\n6KOYzeZyDSDZvn07u3fvRilVoHauo6MjHTp0oFmzZmXap7OzM6NHjy5zLELURIsWLSI1NZXXX389\n7z22ZcsW9uzZQ7du3YiNjeXkyZP069cPGxsbHnjgAbKysvJmZnVycirQnSozM5PGjRsXeM8VxmQy\n8fPPP9O0aVNuueUWQN+avu2220rc1t7eng4dOlRZidGgoCB+//13Bg8ebLXGhmtFRkZy9uxZBg4c\nWCv6grds2ZKHHnrI2mEIK5BkW9RYoaGhJCYm8uCDD+Li4lJsH+msrCyioqLK1afxtttuY8iQIUW2\n+lfH6OiVK1diMplKTLZLc2ciIyODLVu2EBAQkK8FJSAgAKUU7dq1K7CNnZ0d48ePL3vgZZCSksKc\nOXPo0aNHqZIHISrL6dOnCQ0N5aabbsLOruiPvZtvvpmMjIx87/fL7/9Bgwbh7u7OmjVr8srQOTs7\n5yXaRUlOTiYiIgJfX1969+5d7Lo5OTlERkaWmDgmJCSwYMEC/P39ueeee/LivNwgUBXat2/PwIED\nK71iU0Vs2bKFsLAwWrZsWSWNIEJUFhkgKUotMzOTdevW0a1bt2qZiSszM5OcnJxST0SQkZGBg4ND\niYlxZmYmy5cvp2PHjiV++F1LKYXFYilX8p2WllZksnzq1CksFkul1IM9duwYixcvpn///owcObLC\n+6ssKSkpzJ07lx49etS4Wut1jQyQzO/XX38lJCSEKVOmlPnuzdXi4uLYtm0bQ4cOLdCCrJRCKYWN\njU2B93piYiIeHh4lXjd2797NmTNnuOuuu4occKyU4sMPPyQ7O5suXbowbtw4Tp06RXBwMLfddlu9\nKjEaHx/P+fPn6dWrV61o2RZ1m0xqIypFTEwMgYGBKKWqJdku7JYs6BHdNjYFhxuU1MJ0WWpqKqGh\nodjZ2ZU52V66dCnh4eE888wzZSoTuH//fv7880/uueceunTpUuDxyqxs0qlTJ+65554aN626u7s7\n//73v60dhqiHRo4cSUBAQIUSbYBGjRoV2Xq8YMECEhISGDVqFIsWLeKWW27J69Lm7e1d5D6vvp6F\nhYURERFR7AyNhmHQq1cvHB0dGTZsGACHDx8mKCiIgICAejX5VMOGDWnYsKG1wxCiRJJsi1Jr1aoV\nDz/8cIUHd4SGhuLj41OuCR+WLFnC6dOneeaZZ0qdXF/L19eXadOm4ebmVuZtXV1dcXd3L3PLtre3\nNw0bNqyW0l02NjaFJvRC1FceHh5VPpmKu7s72dnZuLu706hRo1KVWU1KSuKrr76iR48e/OMf/2D8\n+PFkZGSUeDdvxIgRBX7v3bt3mRLtilyHhRBlI91IRJmUd3DeZRcvXuTzzz+nRYsWPPLII2XefvXq\n1Zw5c4bJkyfXq9ulQpSFdCMp6NKlS1y6dAl/f39rh5InNTWV7777ju7du+e1UkPFr7MlSUxM5LPP\nPqN58+Y8+uijVXYcIeoTmdSmFlBKMWfOHNzc3GrsaOWtW7eyfft2Jk+ejJ+fX7n2oZRi69atNGvW\nLK9/ssViYdWqVTRo0IDBgwdXZsj5rFixgvDwcJ566imrT8ASFxfH+fPnCQgIkL6GVSQ2NpaffvqJ\noUOH1rpKPBVVX5LtEydOsHLlSsaNG1dit6nvv/+es2fP8txzz9XoyWGSk5P58ssv6d69O6NGjcpb\nvmbNGoKCgnjiiScKbflOTU0lODiYgICAEifUuXwddnFxYdOmTQwbNowBAwZU+rmIqrF69WocHR1r\nTFUYocmkNrVETf9i4OzsjJubG/b29ixZsoQffvihzDEbhsHQoUPzDQTMycnh6NGjHDt2rLJDLnDs\nwvp6W8O6detYtWoVMTEx1g6lzjKZTGRkZEhd4DosOzubjIwMsrOzS1y3b9++9O/fv9Tdx0JDQ5k1\naxZnzpypYJRlY2dnh5ubW4HB1DY2NsVev/bu3cuaNWs4evRoice4fB1u0aJF3sBOUTsopThy5AhB\nQUHWDkWUgbRsi3KZN28eqampPPvss5WSwCYmJuLo6FimQYeXRUZG0qhRI+zt7fMtP3XqFCtWrGD0\n6NGFlruzhpycHOzt7YmKiuLs2bMMGDBAWrarUFGDaeu6+tKyDeX7G0dFRfHLL79wyy23FFn/+vDh\nw6xYsYLx48fTuXPnygi1SiUnJ3P48GH69+9f6jt3OTk52NnZ1cprUEpKCllZWVVWV7wmS05OxtbW\n9v/ZO++wqK7tf78zMHSkd5AuiiDYQcWGqLElmmaMLe1qEuNNuWnX3CT3l9zkm56YWBKiUbFEjSY2\n1BAVG2JDUJQmIL0OvcwMU35/IBMJxQFB0Mz7PHkic/bZZ085+6y99lqf1am8Iy3dh1aNREuX8/TT\nT6tlrm7lxo0b6Orqdjgusr1s/fZIT09n8+bNDB8+nGnTpjU7JpVKqa2t7XAJ8u4iNjaW33//nQUL\nFuDu7t6rdGFzcnLIyMhgzJgx3a4pfjf5Oxrafzc68x3LZDJqamra3fUICAjA19e3xSJeE3Jzc7l+\n/TohISF37X4yMzNj7NixGrcXi8WsXbuWIUOG9CqJUE3ZsmULpaWlvP7663ecvyOVSklKSmLgwIGd\n+r7vNr05DEpL62ifRPcRhw8f5tNPP9Wo7Pid0lqhF6VSSURERIdLft8JdnZ2+Pr64uPj0+KYr68v\nK1asYODAgXdtPO1hYmKCmZlZj8eLt8apU6eIjo7WhrV0gt27d/P111/3mkWdltvj5ubGihUrGDFi\nRLvtEhIS+Pjjj8nLy+tQ/zExMRw/frzD52nKvn37+Pzzz6mrq+t0HyKRCDMzM43rGPQ2AgICNIpP\n14TY2Fj27NlDfHx8F4xMi5aWaD3b9xFNBvCdbgmqVCpSUlJwcXHRqGLhrdd/4IEHWngZVCrVbcd0\n6tQpEhMTWbBgQYtrZmVloaOj06q33MTERF1BrTV6k5fWz88PPz8/8vLykEqlvUpNZcqUKfj7+9+x\nDrEWLfcKXT03VFVVIZPJsLa2xsbGhry8vGYeyPz8fKRSaZfo33dFVds+ffqwbNmyOx7LndIUctTR\n51ZwcHCXjSEgIACZTNYl4ULZ2dkYGhpq9b+1NEPr2b6PmDRpEhYWFhw4cOCO+klPT2f79u0cOXKk\nw+cOGzYMf39/9d/Hjx/no48+oqioqN3zysrKEIvFLRKdVCoVERERbN68uUeSeDZv3syPP/7YZf3l\n5OTw448/cvDgwS7rsyuwtLS8bal4La0zZ84cXn755V61eNLSNQwbNoy3335bo0Xo5s2bWbt2LTKZ\nDIlEQm1tLQ0NDerj27dvJyIiArlcfsfjmj59Oq+88kqnclzuNkqlku+//57t27e3enzNmjWEh4e3\nekyhUHTn0NSYm5sTFhbWLAY6JSWFzz//nMzMTI37kclkbNiw4a7u7mq5N9B6tu8zampq7tgodXFx\nYcSIEc2M5s6ir6+PgYHBbb0wM2fOZOrUqS22BAUCARMnTiQ6OprffvuN2bNn3/GYOoJUKkUqlTbz\nzicmJmJmZtapSm3W1tb4+fn1eMKVJgliWrRo0ZzBgwdTUVGBSCRi6tSphIaGoqenR3l5ORs3bsTV\n1RVnZ2d0dbv+sSuRSIiPj2fQoEG9zgBXqVRIpdI2FWMMDQ1b/UwyMzOJiIhg6tSptw336Q5kMhl1\ndXUaKd00oaenx4QJE7q9gJKWew+tGsl9QGRkJEVFRSxYsAChUIhAIOh12eVyubzTD5n6+nrWr19P\nv379CAsL6+KR3Z5bDe26ujo+++wzrK2tefHFF1u0bWho4LfffsPT07PDpeDvJjdu3GDTpk099iDT\n0r38ndRIejslJSX88MMPBAUFERoaSn5+Prt27SIsLIz+/fur2xUUFHDkyBHCwsKws7Pr0DViY2M5\nfPgwEydOJCQkpEvHfydzdxOahBL+lby8PLZv305YWFiXOH46Q3cXF9Jyf6HV2b7PKS0tpbS0VC2B\n1V2G9o0bN9i7dy/19fUdOu/QoUN8+umnlJWVdeq6hoaGvPjiiz1iaEPzWEIjIyNmzpzZQvmkiZqa\nGpKSkkhOTta4/9raWr755huioqLueKyaommC2K1UVlayatUqzp492+XjKSkp4ZdffqG0tLTL+9ai\npSexsbHhrbfeUhcgyc7OpqysjEuXLrFr1y6c18iMAAAgAElEQVSqq6uBxhCz9PR0cnJyOnyN+vp6\n9PX18fDw6NKxnzlzho8//pjs7Ow76qczzyQnJydeffXVHjO0oXfl/GjpHSiVSg4fPkxCQkKHztOG\nkdwHzJ8/H4VC0e2SRVeuXOHSpUsMHDgQT09Pjc8zNjbGxMSkS7ZPMzMzsbe3x9DQ8I776izteawt\nLCx44YUXOqR/qlQqkUgkd13NoulBcuXKFWprawkKCmq3vVQqpby8nIqKii4fS3p6OlevXsXFxeVv\nqZurpXPU1tYiFovp27dvTw9FTVFREQkJCYwdO1atPHSr0WZlZQU0eoxTU1Px9fVlwIABDB8+HBcX\nF+zt7Tt8TaVSiVKp7PK8ASMjI0xMTLpE8UOLlvuB2tpazp49i6OjIwEBARqfpw0j0aIxEomE/Pz8\nLveeaEpWVhYbNmwgICCAhx56qNmxiIgIKisreeGFF+5JbeXObLN2FV9//TVVVVW8/fbbt12wyWQy\nRCJRl49VqVSSlZWFq6vrPfn99Tb+LmEkP//8MykpKSxdurTDoRfdxYEDB7hw4UK7xXBkMhkCgYC8\nvDxcXV275H7qyTkEGovMrF27Fj8/v3tSt1uLFk3Jzc3F1NS0hd65NoxES5dgYGDQqqEtl8vbVBuJ\ni4tjzZo1lJeX3/H17ezsGDx4cKsJfTo6Oh3a8ouMjOxViiCaPCQvXLjA119/3eWhFo8//jgLFy68\nraGtUqnYtm0bv/76a5deHxqlzNzd3TtsaKtUKm059r8xgwcPZujQoVhaWnbrdcrLy0lLS9Oo7fjx\n43n44Ydb1f5vQk9PD5FIhJubGwKBQB2al5iYyMqVK9V69+np6Xz55Zekp6e32k9tbS1btmwhMTGx\nzTkkOzubkpISjcauKQ0NDS36FAgE6Ojo3PeL5SNHjrBu3boOJU5qub9wdnbucGGh+/uu0HJXOHLk\nCGvXriUjI6PFMbFYTGlpaYfjvFvDwMCAWbNmtWrwz5s3j+eff17jif7atWtcu3btjscEjYuN7git\n+Ct1dXVUV1d3aJIvLS3l448/5vjx4222cXBwwM3N7bZ9qVQqysrKOh173x1ERUXx2WefqY2TyspK\nwsPDtcUp/ib4+PgwY8aMbg+h27t3L1u3bm220M3OzmbTpk0tjE5jY2P8/PwQCoVs27aNb775pl25\nv3PnzvHpp5+SkpJCdXU1FRUV6vlSIpFQXV3dYkGpUqkQi8VUVFRw/fr1NuXpJBIJGzZsYMOGDaxb\nt47a2trOfgTNOHToEKtXryY3N1f9momJCa+++ipTpkzpkmv0VkpKSigpKekSCUctfx+0Mdu9gMzM\nTE6dOsX06dO73UPTHXh4eFBaWtpqrO2kSZMICQnp0qqJtbW1lJeXt1rkRiKRIBQKbxtjuHTp0jse\nR3JyMrGxsejr65OWlsYLL7zQrfHGY8eOZdSoUR2KfRcIBOjq6nZJoo9QKOSll17qVZ4rS0tLrK2t\n1b+v2tpaCgoKbqvrfrdRKpWkpaXh5uam1eO+Bxk1ahTGxsbN5rGcnBwyMzMpLCzE0tKSX375BQcH\nh2Yl03V1dW97v5qbm2NlZYWJiQkODg4MHTpUPX8NHDgQHx+fFn2cOnWKo0eP8thjj7Fs2bI2vWwG\nBgaMHz+ejIwMcnJyqK+vJzk5mbS0NGbPnt3p36Knpyc1NTVYWFh06vyuoKKiAolE0qkY9zvhscce\no6GhQXsfa+kQ2pjtXkB0dDTHjx9vN8avqzl+/DhJSUksXLhQY13Ws2fPYmVlhZeXVzePrn22bt2q\nNm5vrdKlUqn44osv1Oolt6O8vBxTU9NOJ25GRUURExNDUFAQJSUlPPLII20uKiQSyR0tOJRKJVKp\ntNXEUKlUikgk6lEjuEkNoSvGsG7dOvT09FiwYEGnzq+trcXQ0LBXLQquXLnC7t27GTVq1F1R1fm7\nxGzfLa5fv86WLVsYPHgws2bNAhrnm+LiYqysrCgtLWXdunU4Ojry1FNPqc+rr69X37NNIU9tJXfH\nxcWxb98+HnroIS5duoRAIGDRokWtts3IyOD48ePMmDFDo0qFSqWS+vp6dHR02LNnDykpKSxbtqyZ\nc0elUlFfX69+HqhUKjZt2oSZmVmLHJnewOrVqxGLxbzxxhu92vDNyckhKyuLUaNG9ao5SUvX0968\nq/Vs9wLGjh2Lr68vtra2d+2a5eXllJWVkZmZSWpqKpMnT263NHtNTQ2HDh3Czs6ux43twMBATE1N\nW3hVBAIBrq6uGhm1BQUF/PDDDwwZMoSZM2d2ahyhoaEaxYtmZ2ezYcMGxo0bx7hx4zp1rYMHDxIX\nF8eSJUua/U4qKyv57rvv8PX1vesFf5ooKSlh7dq1DB48mBkzZtxxf1KpFKVS2enz2/sd9xTu7u4M\nGTKkR2XMtHQeZ2dnhg0b1ixfpKioiNOnTyOXy0lJSWHBggU4OjqqjzdpXz/55JN4eXlx8OBBLl68\n2OIebsLKygp7e3ssLS2RSCTt5nF4eHh0KFFdKBSSkJBAVFQUc+fOJSwsrMW8deLECaKjo1m0aBFu\nbm4olUrEYnGvDZcYMWIEZWVlvV4p5cSJE1y/fh1PT08cHBx6ejhaegitsd0LEAqF3WZoy2Qydu3a\nhaenZzNN5QcffJBp06bxxx9/cPnyZfz9/ds0ohMSEti3bx/jxo1rN+mns5SXl6Ojo6Nx1S1fX198\nfX1bPfboo49q1EefPn1wd3fH1dVV43H+FaFQ2KahLZfLOXDgAG5ubjg5OWFlZXVHW67W1tbY2dm1\n8Irp6elhY2OjlhPrCQwNDbGzs9PIw6YJzz//fK8rynSnmJiYdHpRp6XnMTAwYPr06c1eS01NJTEx\nkcDAQNzd3bGzs2vmYTU3N8fIyIgtW7bwwAMPYGNj0+o93ISrqytLliwBYMmSJV1+DzSFq5iZmbU6\nb1lZWWFra6uWLdXR0WH58uVdMo6ysjJEIhGmpqZ33FcTw4YN67K+upMpU6bg7+/fIUM7KyuLY8eO\nMW3atLvqhNPSfWjDSO5zKioq+Pbbb/H29mbu3LktjkulUgoKCtpNkEtMTOTAgQM8/vjjGiXSdQSF\nQsEnn3yCiYkJy5cv79K+e5Ly8nJWrlyJp6cn8+fPv6O+Tp48yYkTJ3jmmWfajU+Uy+WcOHECLy+v\nXqU73NUkJycjFosZPXp0Tw+lwygUCg4dOoSTkxOBgYHddh1tGEnXcebMGfLy8rCxsSEkJEQdCiCX\ny8nOzsbd3b1Ng7Qp5C0kJISJEyfezWGTl5dHcnIyY8eOVSeQRkREUFZWxrJly+5awZaGhgY+/fRT\nzM3NNQrv0wIxMTFERUUxZ84c7W7YPYQ2jORvjLm5OcuXL2/Tm6Kvr4+bmxsRERGoVCoWLlzYoo2f\nnx9+fn7dMj4dHR2GDBmicdz4vYKFhQVLlizR2FvfHnp6eujr69/24VhYWMjJkycpKSm5r43tY8eO\nUVxcTGBgYK8MGWmP2tpaLl68SFFRUbca21q6jvPnz1NRUYFKpWLgwIHqJGhdXd3bhnI88sgjFBcX\nt5rM3d3ExsaSmJiIh4cH7u7uQKOH/m7HN+vq6jJ48OAumQu7i7KyMjZu3EhQUBDBwcE9PRyCg4Pp\n16+ftsDXfYTWs93LqaqqIjU1lcGDB3erJ2LNmjWoVCpeeOGFDp2nUqmoqqrqsObk35H8/HzOnTtH\naGhol26n3srVq1dxcnLC3Ny8W/rvDRQVFVFdXd3juQOdpaCgABMTk277DYDWs92VVFRUUFJSgkKh\noH///q22USgUxMXF0a9fv14zF1ZVVXH9+nWys7MJDAzs8l3JexmVSkV1dbV6AVBcXEx4eDhBQUFY\nWVnh7OysNXS1dBhtUZt7mFOnTnHgwAGSk5M73UdxcTGVlZXttlm6dCnPP/98u22qq6vZt28fxcXF\n6tdOnz7N119/TWpqaqfHdyvnz5/nk08+aabfqgkVFRVUV1dr1DYhIYHPPvuMvLy8zgyx01y7do2E\nhASys7O77RoDBw68rw1toFck6d4JDg4O3Wpoa+lazM3N8fb2btPQbiq7HhkZycmTJ+/y6NqmT58+\nmJubk5CQwOXLl1scr6ys5IsvvuDYsWMa9adQKPj99981fhbJ5XJu3LhBb1x4/fHHH3z11VfcuHED\nAFtbW95++218fHzYs2cPUVFRPTvAm1RWVvLVV19x4sSJnh6KljukVxrbAoFgqkAgSBYIBGkCgeDN\nNtqsvHk8QSAQDL7bY2yNgoICVq5cydWrV7usz5EjRzJ+/Hi8vb07db5MJuOHH35g8+bN7bYTCAS3\nTYRJT08nLi6OxMRE9Wt2dnY4Ojq2m/wXERFBeHi4RuNVKBRIpVIiIiKoqalpdqy+vp5vvvmGyMhI\noDHePDw8nKioKNasWcP69es1uoZMJkMikdz1LPuxY8cyf/58fH19KSgoaFEIZ8+ePYSHh3dJtU0t\nWrR0PWKxuJmz4eTJk3z88ccYGRkxceJEgoODKS4uvm2Rq8rKyi5zULSHh4cHCxcuZPLkyRQWFvLh\nhx+ycuVKlEolSqWShoYGjefByspKzpw5w9mzZzVqv3r1ajZu3Nilz8PW2LNnD99++y1SqVTjc5qK\nE936PQmFQhwdHZk0aVKnVaPa4+zZs6xevZqqqiqNz1EoFEgkkg69Ny29k14Xsy0QCHSA74BJQB5w\nXiAQ7FWpVEm3tJkGeKlUKm+BQDASWAME9ciAb6G+vr5DHlZNsLKyuqMbXyQSMXz48C7Z2hw0aFCL\nku3e3t63XQg0NDTQ0NCASqW6rUEfFBREdXU1aWlpLcJmVCqVui9o9JyIxWL69OlDQECAxnHfw4cP\nZ9iwYXdd8UJPTw9PT0/q6+vVi48lS5ZgZ2cHNEro5efns2XLFpYtW3ZXx3a3qKqqwsjIqNPa5lq0\n3I4jR44QHx/Pc8891+Vxwhs2bEAqlfL2228jEAgwMjLC1NQUIyMjQkJCkMlk6mTA9u7hyMhIUlNT\n+cc//tHtcnBN8dpNBnZtbS1KpRILCwveeuutds+trKzExMQEHR0dLC0tWbhwoUaF11QqFTKZDH19\nfVxcXLrkfbSFXC5XP180ZcSIEQgEghYx90KhsNsSr5vkdjtiOFtaWvLWW2/dd+pMf0d6Xcy2QCAI\nBt5TqVRTb/79FoBKpfq/W9qsBY6pVKrtN/9OBsapVKqiv/R112MHZTJZr9f97CkUVKNCgS6dD3P4\nq8Euk8nQ1dXt1mIBhw8fRiwWM3fu3A5dp6qqivXr1xMYGMj48ePVr6tUKjZu3Ehubi7PPPOM+mEr\nl8uJiorCysqqmUyjJjSVjO/NcYZlZWWsWrUKX19fHn744Z4ezn3N3zlm+/fff+fSpUssXbq0y+On\nY2JiaGhooG/fvvzyyy/MnDlTHV4il8spLy/n0qVLmJmZMXLkyDb7Sc9I4UbuZcaNmq1eeGZlZXHo\n0CGmTZvWbQaqQqFApVKhq6tLbm4uDg4ObeYCFRQUEB4ezpAhQzqlny+XyxEIBHdN9aS3c+sCRMv9\nyb2mRuIE5Nzydy7w11mrtTbOQI/XaL6XDO2Ghga1JNSd0LStejs90BTmoqACP04g4M8JuLi4GF1d\n3dt6TBoaGigtLW3mCdLT06OhoQGJRNJtiia5ubmUlpaiUCg6ZGw3VW2TSCTNXhcIBCxevLjZa03b\nymFhYZ3y+h46dIiLFy/yzDPP9IjygSYYGRnh6ura7Z4uLX9vJk+ezOTJk7ul71GjRgGNGtv19fXI\nZDL1sV27dpGcnMzTTz+t/o0rlUpUKlUzg7O8vByp/XdYehxHzjB0afQ8i8ViCgsLKSsra3aP3EkS\nenZ2NlZWVmrVnqZxXLt2jZ07d7YrSWhqakrfvn07PZ/8XXevmgrtNOmVNyEQCLSG9t+Y3ng3aOoS\n+evqodXz3n//ffW/x48f38zD+Hfm0qVL7N27l7lz595xoZqffvoJlUp12y1JU4JRUElC/BUkEglB\nQUEoFArCw8MxNjbm5Zdfbvf8qKgozp8/z8KFC9VbowCbN2+msLCQV1555Y5KorfFwoULkcvlzRYm\nDQ0NVFRUtFvIxdzcnDfffFMjA/3UqVNcuHABY2PjNgv2tIeHh4d6y3fv3r24u7v3On1WAwODVqUl\newNHjx7FzMyMoUOH9vRQOkV0dDTR0dE9PQw19/u8269fP955551mmttNyXa3Lvo3b95McXEx3t7e\n+Pv74+Hhwc8//4xR3wqCpgaiq/NnrsuQIUPw8vJqppBhYWFBbGwsR48e5YknnqBfv35AowF+6NAh\nrK2tGT58eKtjLCoq4qeffsLHx6dFjQVHR0d8fHzaTTQ2MTFp4RS422RlZZGWlsb48ePvCeNdJpOx\nZs0aLCwsOqzspeXeoyPzbm/89eYBt7q+XGj0XLfXxvnmay24ddLX8ifGxsaYmZm1qb+tCTLySONp\nJjwWTEN+2G3bu/AOAF8c+YK6ujpGjBiBjo4OwcHBGnmlvb29qa6ubmHgNpVo7wovfWuIRKIWfUdG\nRhIfH8+zzz6Lk5NTm+dq6gkPCgqiT58+nU6EbaqqWVZWxqVLl6iqqup1xvadolKpKCoqarewT2eQ\nyWScPn0aCwuLe9bY/qtB+9///rfnBsP9Oe/m5+dTXV2tdk7cem9HR0cjkUgYNmyYupqrEineMzZi\nnW/B+V2NcdIeHh4MHz6cysp+9BNORPAXn1GToZ2dnc1PP/3E0KFD8fHxaZGELpFIuHDhAra2tm0a\n25aWlgwZMqTVOcXc3LzVIme9jbNnz5KUlET//v177Y7drYhEIgICAu57RSgtjXRk3u2NMdu6QAoQ\nCuQD54AnWkmQXKZSqaYJBIIg4GuVStUiQbKnYwd7M0ok3OBfmDAcWxZ1qo96rpPCo9jwJPLif7Hp\nKCyfCWbt1BnJyMggMjKSUaNGMWTIkNteIycnh7KyMgICAjo1xu7i6tWrXLlyhVmzZmm0UCgpKSEm\nJobx48d3mw5vRkYGRkZGKJVKzMzMOl3w5fLly2RmZjJ9+vRe5U2KjY3l8OHDzJo1i8GDu1aAKD8/\nHwMDA42Sv+4F/s4x293FqlWrKC0t5fXXX29xz+/Zs4f4+HimT5+uLiNeU19KoiIMSYUtVpbW2Og8\nTM5lFw4ePMi8efPa9SqXlJQQERFBrWkY7l7+zJ/Qsk1RURGGhoYdSgKNi4ujqqqqS3caUlNTsbKy\nUi8yupLKykoKCgralF28n7h+/TpyufyeeK+XLl3i4sWLPPbYY726WNHd5p7S2VapVHJgGXAYuAZs\nV6lUSQKBYIlAIFhys00kkCEQCK4D3wPa/ZoOIqeSKk5QxelO92GIF4OIxYl/sToS3t0Kv8Y2b1NF\nDA00yixdvJhPYWExBQViDh0qoLr69lnZkZGR/Pbbbx2SS+pqVCoV8fHxzWSiBg4cyNy5czWOE09K\nSiI+Pp7r1693yxilUimbN29m586dODo6dtrQzsnJISoqivj4+B79zFvDxcUFDw8PHB0du7xvR0fH\nu2Zo/zWGX8u9QVhYGFOnTm31nh80aBAeHh7NKrca6VtSdvK/mFQ9hdwoHpn+ZYyNjenTp89tdxRr\na2uprq7m00OeLP5GRW2dnI0b46mslNCAmCpisLOz08jQycgop7i4Fmisi3Dy5EnEYjFxcXEoFIoO\nfgrNKSsrY9u2bezdu/eO+mkLMzOze8L47Ap2797Nzp07e6Uu+V8pLCwkPz+f2tranh7KPUOv82x3\nJferh6WrkJGPDmbocOclr4vKYdcZWBwKRjdzQOpIJIXHMCOMcz8/xxNP7OKDDyagp6fizTej+eij\nibz9dki7/WZlZXHt2jWqqqqYPn16i6STu0FGRgYRERH4+/szZ86cTvXR0NBARkYGXl5e3ZadHxMT\ng5mZGQMHDmz1eHV1NQcPHmTo0KF4enq22ubw4cPExsYSFhamTgbT0nXEx8ezZ88eHnnkkTa/p65A\n69m++6xfv56ysjJefvnlFjtCUrIRYY8QzRPojx8/zk/7buDdPwBrhZylSw/w3nvjWPT+Pio4SNHJ\n5zHTHaYuL15TU0NkZKQ69hugulqKre3n+PhYER+/FLFYjEQiaeaZHDBgQKffs0ql4sSJEzg5Od3T\nhaZ6A6mpqcjl8k7l7NxtlEoldXV1PfI87s3ca2okf3tiYmLQ19fv9vhRPTrnIVRQSz3JmPDn+Ows\n4IVpjdufBlZWCIVC9FUeWAvmYcZ4hg51YNo0byZOdMfd3ZySEilPPjkIhUKBUqlUx0Tn5VVhZWWE\ngUHjT9PV1ZXExESSk5MZOXJkuzd3dXU1xcXFbRqSnaVv376MHz/+jhJJRSLRHSei3o7bGcdFRUUk\nJSXRp0+fNj+jCRMm0K9fP21p526iT58+WFpaah9S9yFWN+e9v+ZpyKlATiX69G3jzNYZO3YsLi4u\nuLi4UF4uIz29nFmzXLFQzAalCQdPl2JlcVltbBcXF5OYmERtra7a8DU21mP+fH8sLRsX0qGhoVhZ\nWanVMu50rhQIBBrXgdCkzsLfmabk13sBoVConcM6SK8LI/m7o1QqOXr0aJcqC9STRglbUaHskv7y\n+YI0FlBFDJUcJ4u3UVBNSkoKq1ev5vjx4xQW1mBn8x0fLgmgD2Pw9rbiwIF5jBrlgoODKZMmqfj5\n5/WsXbuWr776ivp6CRcu5OPm9g0LFvza7HqTJ09myZIltzUADxw4wObNmykoKOiS99mErq4u48aN\n0ygx79ixY/zwww+9MlTAy8uLZ599ltDQ0Dbb6Onp4e7u3uyhmJycfNuqcZmZmZw8ebJXbYFKpdK7\nPp7y8nLOnz/f5va8h4cHL730Eq6urnd1XFpuT319A3K5Epms7dCKjIwMVn77Ndeq3qSUXwCokCaS\n37CRlJTGMuZHjx5Vb68rlSriSl8llcepJ61D42kquiISibC1NWb58gHs27eJUwcruPCbHw1Sobog\nFjT+toqL/Xn66SucOpUNgFAoIDx8FkOG1BMbG0tRURFKpZK0tDSqq6u7tABbe8TE5GBo+D9Wrz5/\nV67XFr///jvbt29HqeyaZ6EWLZqiNbZ7CBVKqolFSfO4ZaFQyFNPPcX8+fM73OeFNHBcDJuPNX+9\ngK/J5UPquMy+c/DaOpA1dH7s5oRhwXQM6U85kZSxBwnp2NjY4O7uTt++fdHREWBioodUWsOXX35J\nTk4OCoWSa9eKCQ3dxPLlcbzzThUFBXXY2NgwZ84vjBmzHrlciZOTabPriUQijQzdYcOGMXLkyHbl\n+LqbsrIyxGKxusrlrcTHx2tUojkrK4uysrLuGB5OTk4dVm35448/OHToENnZ2ezatavVsR0/fpyj\nR48iFou7aqgao1KpyMjIaKZ5XFhYyKeffkpUVNRdHcvx48eJjIwkIyNDPbbeuPDS0pwNG+IxNv4I\nH5/v8PJaiVzeujFWXV1NnbQIqekBxPxCeno6MZmvUCT6BFdfGXK5nNOnT3Pq1CkAIiIS+PdSITnx\no9DnTzWN97eC69Ny1m2OpLq6GhkF1NGoAbBt2xVCQzdRUNDcEDY3N8fT0xOpVMq1a9fQ1dVVJ2M2\nERrqQ0hIX/r2bZ6EPW3aNObNm4eOyIj5Hxez6pcbxMXFcfHiRXUbhULR7B7qSkQiISYmeuody57i\n6tWrpKen33GsuhYtHUUbRtJDlHOALN7Enudx4KVmx9qTkmuPOimUVELFX3IWHPgnpgRjxCC+OwC/\nX4JnJ8OATtYWMSWYuvJgRBbgzAqsmYsxgRhbNmpSK+Vycs6cISP9JeITEti/Pw2pVMqyZZGEh8eh\nVKoYPNged3cJzz77BJcvl1NcHI2LSx+GDXPkvfcatyUPH77Opk2XWblyKlZWLZOSSkvrWLz4NxYs\nGMTjj/vh5eXV6bjB6upqtm3bRmBgYIvqjeXl5RgYGGgkkzh79mzkcnmL4kZyuZw9e/bQp0+fdrcL\nq6ur2bBhA46Ojjz33HNttquvr1c/HH/++WeCg4O7XKGjiYcffpiamhpycnJITEzEzc2tRTLhjBkz\nKCkp6fYKlunp6RQUFDB69Gi19z05OZkdO3YQHBysLmZiYGCAlZVVM7m0u8GYMWPUi05olIQ7efIk\nixYt0nqzezE2NkbY2BiTkVGOubkBxcW1ODr+uehvkEN1PQQEBODj44NSsBARVpQaKSg4NhoXc1Me\nm/EKUomMtWvXEhsby+jRowkJceXAgSk4KUYj5M/5IyOvksIyA65cS0UfE8yD3sPJsxR/wUlOncrm\n2LFMzp/PZ8uWK7zyShBBQc6YmJgwf/58fv/9d3R0dJg3bx66uroolUp16Mqjjw7k0Uf/zAW4fr0M\noVCAh4cFpqam/PvjrWw7O48RrpNZMsGZQH9/sk+fxmXUKLZv305mZiZmZma4u7szYcIEjRPAa2pq\n0NHRaXOOHD7cidLSNzrz1XQZ1dXVVFVVYWNj020ysVq0tIXWs30LhYWF1NTU3JVrmTAUC6ZjRqOm\nU3kNOCyCRV91vs+xflC3E5b9pbKuIf2wYT4ChKx7CbYsKyQn6fdWva9/pbVd+APnwX4RfPEr6NIH\nExqNPCUy8vmG87v+w4axY5k75Xv0rIbw9ttvk5eXh7W1Ei8vS7ZufZgzZ54lJeWfuLnZ8vTTe4iL\nK0QkUvK//4ViYWFIQ4OCN9/8g61br3DuXKsS6ty4UcGBA2n8/nu6Rp9PTk4Oly5dUv9dWVmp/rdE\nIqGoqIiSkpJm59TV1bFq1Sq2bdum0TWEQqHa0K6rq1P/nnR1dZk7d+5tEyyVSiW+vr63jb9ev349\n3333HbW1tZSWlnabJxzAwcEBb29vgoKCWLhwYatGvbW19R0lWmlKdHQ0R44caaYM4+LiQkBAQLPE\nInNzc1544YU2NYi7C2tra0aPHq1OkDM3N0cgEBAZGXlXx6FFc2pra9HXz+bXXx/CwcGEigoJmzYl\nqI8lJCQw73MlTk9BTgno6+sjlHizc9BrR4UAACAASURBVGsR8fEVZFz1wk64AAFCDAwMmDRpEn5+\nfmRk5PLtt8f5z3/GMnRo8/yYVyZl8GbgJzwYFkBOjoCfPnXhxhV3LlzfwldfTSU9fTn19Q3s2HGV\n/fub74ZNnjyZoQ+8zewvbPng613ExMS0+d6GDfuBoKAf1X/PnuTN8uF7GW+1lYCAAC58+SU/jRnD\n1R07sLa2xsDAALFYzIULF5rtwkkkEqTS1tWjlEolq1atYt26dR3+7O8mpqamPPzwwzz44INttomP\nj2fF2usYPAzRV+7i4LR0CLlcTmxsLOXl5T09FI3RerZvUllZyQ8//EDfvn3vStUsPRxx4zP13wLA\nUA8MWklWV6lU7N69G3Nz83bjbQFEN7/RWgkcvQwPDIWypEQqsrLoN306ztYgqjzJmWvXGDBgQJul\ns7/eA5/92rgIOP8lDLyZ27MiAr7ZB/2dwefmrmh69UqMjI0wFPaliO/pM3UkOkFziFaM5/E8cLOS\nsmJFNOnpOhQWKvj441PMneunvtb69bN45pntJCVV8r//neD//m8SMTHJJCQUAXDhQj4nTmSxevUF\nLl1agodHo7dy2DBHkpJexNVVM93qQ4cOkZ+fj7u7O2lpaURGRjJnzhz8/f2xsbHhX//6V4tyuvr6\n+vj6+naqkEp4eDhSqZTXX38dgUCgUYLkwYMHSUlJua2xra+vj1gsxtDQkDfeeKPLywCfPXu20ciY\nN0+dCKOjo9OscmdPMGvWLMRicTOPtYmJCQ899FAPjqptAgMDSUxMxNTU9PaNtfQIycnJnD59mrFj\ndUhOXkZERALz5vnz6quHCQ8/z3PPKXDytGeopx152Un8tGYncvlgPvggDktLfcrKpAQGXmDw4CAs\nLAxwdnYm6tSPxCRE83XMS3x/3ZCyXc3ndmPbwXydFAjeAuY+WIzHlTcwc1iAjvkaRKLnKSlJI72k\nGNeHFjIozIVSdiIjn9jdE4mJScNq5EMkZBszfpQvlpYOZF0vpPz0YQbMmYP+zd/aihVH6NvXjEce\n+XMROnz4cOrqjnPlihCRSIT3tGkkHjvGufx8Fj/6KGFhYVRUVJCVlYWf359z9KpVqxCJRCxfvrzF\n5ycUCvHx8dHYC96T3PqermWDpAGG3JIjevToUVKyPDDU80Sko03m7K1cv36dw4cPU1xczKxZs3p6\nOBqhNbZvYmJiwuDBg9s0PjWloKAAW1vbDsu7mZtARnjrx+RyOWlpaVhYWNzW2G7ik13wwXbY8E+Q\nvL6QwkuXCPntNyY++CBTp05l0KBB7b7XHaehoAz09WBzNLz/uBSpVIqebh9MDODge+Bm15gYV2q/\nDl2FDmbCkQA4mi1mRcw4ZqRK6OfSwKlTlzl9GkDBsvdyeeTFQ1xOGcqB3VKGD3dk1qz+bNnyEC+9\ntp2xz33Os6/vx17fDX19kErh3XejmTHDGyMjETp/mQD797dGoVA0y3QvLy9HT0+vhdb01KlTKSkp\nwdzcHBsbGxwcHJqFQzRtgVZUVLBjxw5GjBhBYGBgp+X++vfvj1Qq7VAG/qBBg7CwsGiW+NRW35WV\nlURFRTF48OAu16ItKSmhqKgIiURy17POpVJpm4sHGxubHo3J7ygCgYAFCxb09DC0tENAQABCoZAB\nAwaQl1fLk08OwtzcAAMDXUxMDBgxYgAPPWSGgQFcuSJHpdJn0CAb/vnPkQQG2lHNMfrN/oxFMwYy\nboqKaU8UEjAnk7FWMjZfeI4qeQN+088waXYw3y0BAUq+/fw4wlJnTkZl8+GCU8yeMxCbjHcYOcSE\nAaPrSE1N5VoGZCncuVGiIK9hHQ2CXP75ajm5WQJefjmP5FUv4OMygcDAtRhe3stU1UGq8/II+fe/\nAdi7N5WsrAreeGM0SqWKdeviGDfODZFIhFgsZvfuc6SlqXBa+BTiyjIUCgUikQgLC4sW4Vdubm7t\nFriaMmUKdXV1LV5vaGhAR0dH40q6d5Owd6G0Cmp3gu7Nx/W8efN4RCajb1+tod2b8fLyYvLkyd2u\n8NWVaI3tm+jo6DBz5sw76iMpKYkdO3YwduxYJkxopeSXBpSxj0qO0ZcP1PrXIpGIZcuWdaia32Nj\noKAcJgVC2Tvv8Ov335N1M9TA1NQUdx9zUngMKx7DmkdanJ+aBzo64GB3nZPXJfwUkYC46AYVti+x\n7MldWFgHsvWCGFHtKARXn8LPbyB2biYY4omULA4c+57HZhShVArx9VWoDWdrhxqMLaqZ+8Bmki5a\nEhzszKRJHvznP2cxMK3Gb4SY+JOlrH3XlaZdS0NDXTw9Ldm9+3FEouaLmIaGBlauXImdnR3z589H\nJpOxevVqrKysWLp0abO2TTJa0Pjw+Mc//tHqZ1dbW0thYSHFxcVtfr45OTnIZLJ2pbOmTJnS5rG/\ncuXKFYyNjdm9ezc+Pj63/a7HjBmDu7s7P/74I/r6+l1ubE+bNo3Q0FCN4tRvJS0tjby8PHR1dRk1\nalSHH7KJiYns2rWLoKAgDA0NCQkJ6XVyYXK5nPj4ePr379+phYhCoeDo0aO4ubm1Wkr770hOTg7b\ntm1TOwI6Snl5OdnZ2QwaNKjDvxddXV0GDx7M2Ss1BP9DTH/hKb78jy8ffRTKRx+FcvE6fPobvPlw\no+dzU0QDOdlRxMY+w8cfn+aFFfoodYp58hUvdM3EGFinsPXj/hgb6FN88FecnU2Rh0xkwNAXyCh7\nEkWtkDGL/03e6jDia55h8LCrjJzgy5uHfblcnU9D7vcUF9SjV6Fgsf0nPDRoNkcjnmXl6pOgEAFy\nvvmmjKSUdSx+61nyC+uoV/kycVg1A594Qv2+jh9fTG2tjCee2IWRkS5btyYyZ84AvvwyCJHImTU/\nniPmeD2PPDKAzZvnq+OYS0pKKC4uVuvAb9gQz7p1Vezc+Wibn+HOnTvJysrin//8J3369OH48RuU\nl9eSmnoAR0fHNhP+VSoVcXEFmJkZ4OV1d6u3vvNYY36T7i2PlM7sYGq5++jq6qolL+8VtMZ2F2Jv\nb4+3t/cdbbVXcoQKorDnBQz5M9mvow91P1cIX9b4b6c5c+gbGqr2FlZVVfHznpUMe/IaxsIUCsrA\nxuzPSedsCnz+FLyxUcmNXA8+e/MhHnvpV5b6bSC76gwLp3zG2ZJ+uPtn8ebHP2Jr8DI7pzeGwuhi\nRTIPYe7riYvLCDJKrbhmOgmpdCu6ugLEV+ejl9wfRfV+oIKioiqUShXnzhUA1jzgMhNxoQFKZWO2\nuEAA9fVyvvnmLFu3XuGPPxYyaJAd//nPUWxtjXn++aGYmpqqt+lFIhH+/v53VA3QycmJ1157Tb0t\nqlAoSE1NxcPDQ/0Z7tixg9raWlasWHHHRWqKiorYvXs3rq6uuLi4NEuQjYuLIyoqinHjxjF06FB0\ndHTUHignJyeee+65Li2TfOjQIXJzc1m0aFGbhrZCoWjzPUdGRqrjqZvejybU1tZy8eJFbGxssLCw\nIC0tDbFYTGBgYK8rB3zt2jUOHDiAWCy+7YJKKpWyadMmPDw81LtSZWVlxMTEUFRUpDW2b6JQKJBK\npcjl8k6df+TIEa5evYqZmVmnNeJzKg1R2XhTGHeUBx64xJYdM/ju3GDkSiHn02DMACUptSPJMICg\nMTl88slpfvnlGrGxYOw8n21nIki74c2lpKE88GAV3/87AJFIhlyuZKDORsaOjCYnyYJhA0KRUIlr\nsAkH9zoRvX85R2PLGV7zDXNGR2Nr4c6lCwP56adcBEZ61Okns+q9aVw6m0e/fvr07Tuaf/3rV/IE\n9jzxuRDMhhJgb8hbR99rFq5kaWmInp4OR49m4uNjxf/930TGjnVm585cVqzI5ck3Mrl21YnAQHv1\nvCZXwOZfjlBVnIK9vT1WVlacPZtLTEwOmzbtxsCggueff56IiES8vS0JCXGlurqakpISsrL68NBD\nv5KbW0VFhQSxuJ7Vqx05f76Sl176gO3bH2Py5D89kUqlktDQjURHZ9Onjx6VlW+3+/2sOgBKFbw0\no91mGvP8tOZ/y2Qyzp07h5+fH+bm5l1zES1abqI1trsQCwsLDAwMiI6OZtGiRZ3yyPXlQ+x5sZmh\n3RWYmf0Z16xSqSjP70PJsfcRuM9m+Kswf3zjscfGwPT/1/hvA5GQscOPsmHnckRCFVfKA1kxpx+R\nh99i1c5QAr3EnE/0Ri6Ts3v9aZJNxzF1SDU36h3RK3uc5OQneeOrs3we7U3gpAGkn03i228vsH//\ndTIzGw0yXV0lo0b9mcBTkt887k+lalQKEIvrKS2to6ysHqlUzmefxWBra8zixYF8+GEtXl4l9O+f\ngre3d6djuKRSKXp6eggEgmYhKFeuXGHPnj2EhIQwceJEAB544AHq6+u7pBqkra0toaGh9O3bt1m5\nZ/jTCDl8+DAVFRXk5OQgFot56aWXMDY27lDpcplM1kIl5a+UlZVRVvbnlvJfOX/+PAcPHmTBggWt\nLipnz55NYWEhenp6ODs7tziel5dHdnY2QUFBze6P+Ph4jh07RlhYGMuXL6e0tJSKiopeZ2gD+Pj4\nMG7cOI08sHK5nNLS0mb3n42NDfPnz+925ZZ7CTc3N955551O72KMGjUKGxubOwoDfGSMDpccIfvq\nRPbtvUD0uXPEXvHBs/IY7y8YgqiqgLyCQgQeD+IWEoSv5Dg7dlzDxmsgl0we5v99aEk/6waG+h/j\n5B+B9O8fyLFjF/Hzs0NW6MTaL2fyv6eDybhUwbNLF5JzQ8b0Cd/zwbcx1Bu4cP6YIQq5M9cTDRk5\nTA+MrVD5jGPHoWJURQeYNMmQI0eqeP/9vSxZYozQsp7EyCwouEq5hYTg4AgSEpayensJV8qsWfGQ\nBGtrY47G/hMfFx327v2Fdb9lcjwtGGw92ZL0Hs/8+wQrXhlLXFwcDg4O/PdXB378/XHWLYrHyKgP\n7757jIULA3jnnbF8/vkOVq8u5/Tp79ixo4rAQHvOnn2Wurp6Ks+cZ//RARSVV2Bqqse7747ls8/O\nIBb7kJQUT0WFkhUrohk80gebm7fCjh07yMnJAeDhh9tOrk5KSuLo0aO8ffx5VAKhRsb27QrolJWV\nUVNT02y+TU5O5siRI9TU1DB16lTNfjRatGjIfW9sy+XyDoVf3I4qYsjiTfryP8wY2+J4eXk5VVVV\nKJVKtSGWm5tLeXk5/v7+zdqKxWIqKirw9PSkqqoKaKwwV11sxpFz+xk3bhympqZkFkJUPDwd1uh9\n3nik8f9Pjm/sp76+npiYGAIDA1t4OfPFjTHXSx+APkaw9iB8tNMMB8s3qC8S4CSH/k4K0nIbiEk1\nwMIYnp4EO041esf/N2ciW46DVAFnCoby6a+QnLsQoQDqq5wQqKTIVQL2vvsZm4aOo1hwksWP5nP4\np2yyq2RYNVxBcDQWk8H6GBlBdTVIJI3eq+Bge0aMULFyZf7N0TZJnzSfJN98cxQff3waV1czxo93\nA2D37sd56KGfWbp0P6amIkpL8/j555+ZNGkSo0eP1vj7zM/Px8bGhqysLLZu3Yq/vz+zZ89u1sbL\ny4thw4Y1S67pypK6AoGAMWPGtHps+PDh9OvXj+joaCoqKsjPz8fS0rKZIVxWVoaFhUW7D5cmCbqn\nn34ac3Nz1q9fj5+fX4twp7lz57ZpaEOjpJ6JiUmbRntrC4ZbOXbsGOnp6bi5ueHg4KB+fciQIejo\n6BAYGAg0qnr0VmNUX1+f8ePHa9TW2NiY1157rcUc1NVVTu8HOmNoFxcXY2pqiqOjY4cWnk38/HMi\nxsYiZs5s9LgGekCghzcTxtsTHh7J3KIoth2+zPdZqXyk58qzzzrgVK1AX5JKQcElPDzMeGXpIN7Z\nWUh9pjVmwhT+35JBXL0KQ4feYMeOR5g61YuXfxTy3QEIHQEGZdnEnZOCvgn21i488eYVpLIUtrwz\nk7xUJ8aOtmHdujlcylmDgfvTvPvERH75xQhvbydEJnbUefZHblSEu1csnE7GJGAMkoJT1NsMwm9R\nHsk/bwLvsYSvSMRmzAzEus78OO8Ervb2XDzuzfUGJ/RMrqIjL8bNtB9JSWn88ss+6uuhX9BrjOxn\nwpTxgzlyJJUPPjhBRMRlPD0tUCpFyGRwPb0Gu0deRM9OF5Mhp7E3rMQy25lplZtYcDSK4uI41qw5\nS3FxLampYp5+ejx//LGb9BprbBfA8hnw3hOw+ux4HAfIcHJS8Nlnk9m8+TL+/rYEBDSGcpxLhaOx\n6fTVvURpaSkRL+Th7Hz7xdRrrx3mxx/juHjxOby8Wp9Ddu7cSWFhIf/617/UjpUBAwZQX19/V1SV\ntPz9uO+N7TNnzhASEtJl/SmpRU45SmpbPf7UU0+hUqmaeTz3799PUVERbm5uzbb5fv31V/Ly8nj5\n5ZcJDw9HpVLx+uuvk5iYyMWLF9WSZu9tg4hj4GoLU4bAktWNme1NxnZqaiqnTp1CoVCodYah0Sv8\n7X74v11gYQIPBcHzaxqP5ZQKSMmFyjpwNK1GUZUPDGBztAAXG1j1j3rmT9RHKBRipN+oMftwMDx+\nU0DFywGiE0FXKMKwoZyxb73K2YuV/Lj5CS5d86co25/UEn38DAaw4B8/8eSyMuYGDQD0qa2VIRQK\nOHOmkHPnGscpFIKrTyWZSS237959NxoAN7c/j40c6cSwYY4MHepIRMRs9u/fT0FBQYe2kDMyMoiI\niGDEiBHo6+ujUqnURR3q6+sxMDBAIBBgYmLC9OnTOXnyJDExMcyaNavTCT9NISMTJkzQOM7azMyM\nBx98kMLCQmxsbAgJCVEbu1euXGH37t1MmTKFoKCgNvvIz8/H2NgYAwMD5HI5NTU1rcpctlZu+lb8\n/f1bLBo7wuTJk8nLy2tmaENjcmpQUFC3FdW4E+Li4jh9+jRPPPFEpxYAt9tN0NI5ysrKWLNmDd7e\n3sybN6/VNlKplKNHj+Ln59fC661QKJk/fzcWFoaUlLze7JipqSkffJBJVZUUgQAcXa0psHmELVeU\nyBVyLOp/x9yuksWLhcyYbMOCxy344w8zEhMNeXVlLMmXDSmOH8SMGdt4+eWRLHt5PBaiMiYPsqC2\nwQeMrUCl4MMPx/LDT6Hs29u40DA01OfyZTF79lzDaUguxn3q8Q8QcrpmHt9es2bFw3VsKXFi36UY\nXh6cja7FcGqENhiqdHEPHsG5TBNEJiY0FKaAyIiSq5cxcpewfu1pwtfM4fAnLnyzT4WXngVbwnfz\nn+eKiOhvQ2amDigVeP++iatXX0AqlfLii/sRiYQUKW24ofsgziV/NH42dpYU1ZlTnClH5TGWnIZ6\ncuymky5ZTsUxIf1U6VyIk4GOLnMeHcQH7//BrFmm5Jo7c7EMVu4HcVI8J3+vRyctB0WDnPDwi7z9\n9lEGDrRh5cqpHDx4nYN1YVzN8WSe9R6WLH4SHR0Vj07+hrlz/Th+PIsvvphMUFDL3TO5XIJKJePE\niWN4ebUeZz5q1ChKSkqoqDdi3lfw4nSYPFjEyJEjO/w71KJFE+57Y7urs1XNCSOQSwho3fPXmqEy\nZcoUxGJxC/mvkJAQCgoK6NOnT7Mt6TFjxuDo6KgufvLmw+DrAuNv2jgH32ue1DFw4ECUSiX29vbU\n1dWpY41nf9Qo/weNhWyengQvTYcfo6Be1mhoO5tJmJ72NsMf8CTBwYdv9+tQWq3i9fBK7JWXmTx5\nMq+uazSs//0oZK2DpBxIuAEr9yjILNFBrmfJE89NZOXROOpydDkZV8mEiTnc0LEmMaaYRz4owMo1\nC0tbNypK9amq+tOgairkpVRCZlLrEn51dY2e8L17U4mJyWHUKBesrIyIiXmGiooKhEJhm6EjtxZ8\n+Cu2trb0798fb29vXF1dsbe3p1+/fuTn5/Pjjz8SHBxMWFiYun1SUhIlJSU88MADzdQyiliPCgX2\ntF2EpqioiIKCAurq6iguLiYxMVFtbGdnZ3Py5EmmTp3abvy1vb19iwQeGxsbnJ2dsbe3R6FQkJiY\niJeXV4swmLS0NIyNjdX9v/HGG10SAtNEbW0tubm59OvXr5mHUqlUsnHjRszMzJgzZw62trbY2tq2\n2kdaWhpbt25l+vTpLSrj9STV1dVUVFS0qTOspWcwNTXF398fDw+PNtvk5uZy7tw5ZDJZC2NbR0fI\n7t2Pc71IRE09mNySonDjxg38/Rs4eRIefLAf/v52XNy0jxp7D/Ts3RAIVIwYMQKxWIyRkRESiYSY\nmBgEOg2EhOQwaoIHkoRg0tPL+frrs6SmXsHVV4+JC/x5c6EL7qFhOAoKWPz0H+z5zRJrK10EAhle\nXnr88UcV//hHJKGhg3hyvh+/bc1DYVNLQ70ZN2IvM0F5lmMHkzjqIGTH4Ux+/d6Lf4Y/xbjQcAQq\nPSxtdSm6ngeGZliLKhAfv8ApFVhZuWBjDnMDE9m/Pwc7u3qCgkSUqlxoMDFh6lgLxgw147//PcaZ\nM6cwbKhBLjdCXlYGesbk5tZibKxDkdFUkOoiKs/EUy+N5IvZqBpk1IQ8x6+n6yF/NP0nmpGs9Cfi\nRA4XLhRw4QL4B8QyaZQNTp7ObPv3fpApEBnA5EmODBjQqDAUEtKX2bN3UFUl5YM1viiGG/Hfp6vZ\ns2MHgwbZkZlZweHD14lLljLzzVIemevM5ECYfTNXrqZGxn//O5FRoyQMHDigWThJePhFzMwMmD27\nP4sXn8HHx4rFrwvYew487GFyN9QEq6tr4Lnn9jF5sgeLFgV2/QW03DPc98Z2Ww/2v1JeXs7GjRsZ\nPnz4bcMQ2jK028Ld3b3V+FYfHx/1YuBWj7Senl4zr+fAvn/qXANM+EuoqK6uLr6+vnz++edsSZ9P\nqcyV5NVgZ974n0oFv8TAuTRYuQTefQI+2AYrD4BT7TEczq7FccJbZBrp3Hx/Sorr7ciq9eSbvXDy\nGggF4PuiCh0heNoLSM1vbIlSAQIBS96/ztVaD3A2Z3T/3VgYHiA89CVeOZXO/5aNZsfKANKvGtzm\nk2p7G9nV1ZSionpqav401M+fP09kZCSzZ89m0KBByGQyCgoKcHZ2RkdHh9jYWKKioli8eDEuLi7N\nJt7z588jEAh4/PHH1f01hYYYGhpia2vbwovZpHbyV1m6IsJRIW/X2D58+DCZmZk8+OCD6OrqNgsj\nuHHjBtevX6egoKDDyY729vY888wzQKOSx2+//cbIkSObxRz269cPR0fHZqEvXWloA0RFRZGQkMCC\nBQuaGT8qlYqKigpUrVVH+guGhoaYm5vfdanB2zFu3DiCg4N7xEN95coV8vLymDx5cq+UT+tJRCLR\nbWU5PTw8mDt3bqv5AwAiJx9e+xH+SEvjf0/UNCvYFBoqRCq1ZP/+NJydzXAVpJMXd4m3/jOE4GA/\nQkNDWRUpJDIOjiQo2Ro7n+eH7yZq5X+5eLEKi1G2LHr9ERoaNnHihBhl9QzqzAfw70/3kJmUT2Z1\nMRZu7qBnRNjDI1m+2A0vLxPGjPkJuVyIj48dL75wAaUSyNuDBNgSo8PoGRksfkvI9CVinB0v8OtO\nQ6xM8xg1QkVqtTNZljPxMdtJysVUSutBRyRi2lR3bGwaF+AXLlxmxYp0bO0NGbd4MrqyQQwacpXv\n3vVhVHA4N25UgIEJOI6EScFQeLO4jaKBWqE1yRJ3kEuwrL5GXtZlVJVK0NVHmBKFsiQLasvIVI5A\nVHGOX04o0NHTQyGTcSWhAkvH82z/4woymQKBAPT14bHHRMyc2Y/p0z1Zu/YiAwfaIBQKyDx/kRKJ\nMSrd/8/eecdHVebf/z29pE0y6QkpkBBICD303ptUEUEpAhZcRVTUtaxd0cW2FlQsqxQFFCWAdJCS\nACGQQAgJSUjvvc5k+v39cSEQEwXR3a/70/N65QWZ8sy9d26ee+55zud8NBgMzURF6Tl/vpyCgnow\nNlOVFMdHbj3JLhXJdkODGW/v1QQGunLp0nLuu+8DTp3azrPPzmDz5gts2XIBfaAfYT0jqKw0UFlp\nYOzYZHY/Gc6IPjc35xQW1uPkpMTDo/1i8pKSRr7++jz19aZfJNsvv3yU8+cr2LhxJnL5//7fud1u\nRyqV/uGSpP4v8f892b5R2O12DAYDzc3Nv+p9SUlJ7N27lzvvvLOVciLgoJbduNAPBVdzga805Pjp\nhbPBCK99K0b1jfqZuqtmM4x6BkwWOPSKaA0BuHUVJF5Scv9tYCs3UpkHo/8BT98G/z5gx11jwsmz\ngfQiF1Z84kxSNtw5Eu4aUk6gOR1Vr095oOAuvM6K4ylkEix2CXmNnTiTDXaHuEcgwe7gMtEGCRIE\nqRSKU9lwqRaC/CHzCC/E7cDJ2cxATRDoAmDwHNKOfQI03uBRFT/rWmg0SkymRuLi8hk3TiSq3t7e\n+Pv7t5DiQ4cOkZCQAIhkUqvVotVqkcvl2O12PvjgA3Q6HQsWLODAAXFJtD0F1d3dvU1sINAy3k8R\nznqu+s3bIisrC6PRyODBg+nRo0eLL/kKhgwZQnh4eBtrxa9FWFhYy2dcQX19PdnZ2SxZsuQXyZrd\nbic3N5fQ0NA2RLy+vp6NGzfi5eXF2LFj263U79OnD2q1us0NikwmY/ny5W0mXbPZ3NI6+QoCAwN5\n6KGH2rxu586dSKXSNl56EO0xx48fZ8yYMb8pQcBisZCWlkZkZGS7pPrniHZ9fT0Wi+U/lv19+vRp\nCgoKGDhwYKsiy78g1iFUV1czY8aMnz23r9dMqk8nuHWAGaeaeA4cqGTPnjo+/TSZw4eX8NxzT7M3\n7TSO1Dg+j62huaieF/+lZNMXx6muHopab+ShtZfjWYvPYEnaRZp7DGm5djKtfeHiBWL9XKhIqEbv\nqcHLko5aI+Ae04Mc97Fw6isefmQgZyu98SSfBrsdQ7OMrKwGHA4oLmumWR0IMgVY8ug+SM+sqZeY\n8FACMgXcuXwj0zodYvJEB+++W4xTWBSKyJHM61HHj2uvdt2V6bx4/vkI7HY7x86ZKWoeyC1zdWwv\nG8A3qToQQDjwI/s27ECuEHB3BAQhhwAAIABJREFUV1HffS6O6mJoKAO/CKgpxFteREWTChK3QHUe\nZTYzUq0LdBsMxlocDZU4RXTDkJKAOTNRnMKdvbBL1eDiSoiPjCMHCsBqRKJUIVjMSLy78NnRXjzx\nxD+pxhf0wVy4kI/KxZXzVVYojYfwoXjUnOZ0gQmjxp8mkxmkVvz69Gd6xAmmju3M9hMuNJeVYO4+\nm+KS00yfvonY2CpQu3D3fTuoKm/mlVdGserLWvpEv8Ot0zrx7TcprFy5n8bGnbz88kiCgnTcfns3\nms3wVixEdRCYEgNy+dW5KyenljfeOM4TTwxGr9fSpcsHREToSUq6t93zKyzMg/PnlxEQ0LbQWxAE\nVq2KIzramx9+yCIlpRyDwYKb2/VEqT82jEYj77//Pp06dWLWrFn/15vzh8FfZPsyPD09efLJJ29K\nPWpPtWsgjnwew4MZBPMKAJl5cWzf+T29uk5q05wmNgFWfSv+vH+v6CG7ArtdDN83WcVYPgHIKxfJ\ndnFxMccv+lNaKyEuLYp5t3zNi++/QKCnhLdiwWqXYpGY2f3RJOprunHq3fUAJF2ClHwfBoQtY+WU\nGnISpeSIDRvxcJFiNINaBf0GPcfe5OcB8PMqQufSQHpOV0CCcIUQ64Pp2FegV/cddHY/zL9em0Kt\nNAqJWyVCXTFU5oDtsiItVYBCDeZfIt5t74YvXqwCJKxaFUd+fgNffjmd4OBg7r5bVJP37LlEY6MH\nnp6eVFVVYbfbaWxsZN68efj5+VFbW0tjY2OLKr1gwYJf+Pxfh+slxxQXF1NeXs7o0aNbSGdeXh57\n9+5lypQpBAQE/GaiDbS0ir4WBw8e5Pz58zg7O7fYkoxGI+vWrSMyMpJhw8Qi31OnTrFv3z7Gjx9P\n165dWxE7k8lEVVUVlZWVSKVSPD096d+/P2r11YtChw4dyMvL45133mHhwoUEBwe3PNeeir59+3bS\n0tK4//77f5aonjlzhp07d6LValu+t+rqajZv3sygQYPo2bMnhw8fJisri8DAwF/0rF8Pp0+fZv/+\n/RiNxut277wW69evp66ujieeeOJni0p/C2bNmkVDQ8NfRLsdZGVlUVlZidVq/VUdVEUhZCfOxOCt\n8+Obp1S88UY9pxId+PX8kKBoHc+/tYvQgGIyj9YgDHmK5osHCZo7kSnLF+HXw4u7Rzvz7oUBoLRC\nXiKWzKPIlFK2ZYSCmw94ekDCV9iL8oge1sxj75/i7L5E3n6sGxoXJXScBLXF7N18FLuqnO+1j/P+\nGTtypRxB6QwWE7HFvZD090OQqeFsLKtj30Elt7L61dncvug41d9/zQcNWu65B7r0DSPN3AnsOr7d\nsB1LrRzc/JEYqxg5QMaWLTuYNesQBeFLcChDGGg6CdUFYKqFczuZOs6P7dszuHVZNg+u9Gf40OOg\n1cGFvSjD+2IpyqRC7o6scy/sjXWgcQNDJWqpCXn1SRobJAiGWizOGgjuDVaT6Ev37QI/vg8myLtm\nyhcsoiWrzrkLcQnVUGGGkbdAWQZU52PW+oBKvJHxppSKZjW1VVEIUX5wYQ/goCwlmQ+PlPLhLqDT\nQEg8BWFDMDUZiY0twdfXibKoRVSlHYSoQE5XemHOPwYWK99+k8KkSWG4uKjYvPkCf//7QVQqOa++\neoy8IiONETMgcRMSwUbCySXExIhxrN9+m8aHH56mvtHG559OZtasrtfNB4+Kan91vbi4kaefPkTf\nvv4cODCfpqb/faINopXW2dm5TVO5Pzv+ItvX4GaIdu/evendu3ebx53pgw9L0XF1Od8U9BQj7q3H\nJfeq3cDhAKMZOvvDpD6w6wzsTIT7J4kZ0wCPfwHvbIcDL8GBl2HFJ7A3GSRNacRu+4YvH6tHq+uP\nh1ci3+9+gB4hEpRycWyQYDI7UVEynO8OX03TqDeCXAqNNdksWROAi8qKl0czOaUulNWJH/zsRpBJ\nn0KpaMZi1fDuc8sI8stn5J3HMTY7IZJiAdQuPLP8FXpGiQZxu2M4/9zyAkTm0lX6Cenx264eGIeV\nO5alUlupYtfGkMsPtlWyW+PK8wI2m5gg8PzzwwkNFbuc2WwOJk/+Cnd3JYmJcwgODiYtLY3S0tKW\nHGOTyYTdbkfl2oGxz1hYOj6AOe3UzV7b8eyKH/xG4+eysrKIjY1lxowZrWwiw4cPp0ePHq26slVV\nVVFWVkZNTU1LrnZjYyPHjh2jf//+6PV6mpubfzbrur1oq6NHj3Lu3DkWLVqEi4sLBQUFpKamtrEx\nWSwWampqqK2tbXksPDy8ZXveeeedVnYQHx8fli9fzrfffovRaOTw4cPodDp69OhBWloaZ8+eZdq0\naeh0Ojw8PG6oEU7nzp0RBOEXj62rqyvu7u5MmTKlxQbQ3NxMVVVVy7br9XouXbrUitzfDLp160ZT\nU1OrxJkbQZ8+fWhoaEChUOBwOKitrW2bCFRSgtVqvaltdHV1/UPGH/4RMH/+/HZtXddDIyfJ5++4\nC7cwJToYvV6Lj48/cQmJ/LA5lZTznbn/uWl8sWA6ux8qYfHd/Ug9UUxZ41DWrJ3H+W+K6T5Ryei7\nPubDtXMh/xgmuwUHUnAPgLOxIJWharyIU6CRL4/sIjvNlbdW9gPA2GCBs+KcGB9fhEJl58l3Z/L5\nh6MoK9TB4MWQ8SMkbEDwjwK5CsovcjA2hA49VLiF+TLnwe+ZOP0fnIy18O7GMHz7xEDcIcg8iqW5\nDoL7QuQYhKLz7N3xAxnn1RiNBhxph1Do9JywB+LRuIf+YaUcS/HkWHYwEs8Q4jLH8N2CALDEgcYJ\n/LpgyUyg+5TxpBg7Y3fyQCdrpM48Gg5/iLGpDkm3SQg5p8DURFffUnp1ryQkfAgvbJKBsQ7ULigw\noOnQBUltEU0uYdhLskTB5dJxuk4dTGkp1B3/N5gvBw+UXwKJBLlCRkXWJSJmzqO2wUZFSRY+unqq\nis3YGxvR+7jRTAPGgmRkhgrsTZWoAzthcvagUWlHXXQKU2U2RI7l+0M5BId4UppXjs0qMHduNEuW\nbAdArZbz0upbeGx5LEJIf/DqCJ6hCOWZzJy5hfT0v/Hxx6fp1s0L3Zj5fFXpx4HwtegGTGLs0JCW\nc6ukGrJKwVUjXtcH/0JoVWCgK7t330FwsBtubup2iXZNTQ3x8fEMGTKkTVfPPyrUajX333////Vm\n/OHwF9luBzYakPPbLnAynPDnkVaP+UgXYJca8O8s+rFPZ8HgJyA6GM5kw+FXoXsIfHUUYh6B02+L\n7+sSCEhg6bsOSmttmKxyntkgJa5nGNODXdFHbsZgPIFJVc+JvCGczQ3hbK7A4/e8Qu9efmQkjWfa\n8ncub4VIXPMroaOXibTKqMsGCAm9An8kp/RqQaAEsDtUl20ksOWHeQT4FrYQbY0Smi0iCf7o3cms\neMyETO7g+F5/OL+bQZE7UMhtpHsMAicPKExGqbLz0OpzVBZrriHb1/N1ic/LZBK6x9gJjizg0Uf3\nsXbtLXh6apHLpXz00UQOHNjF1q1b8fX1Zc6cOa2Ik5+fHytXruSxV77hwHklob60IdtWq5V//etf\neHp6snDhQj766COUSiWPPNL6e2wPV5Rai8XSJlFDIpHg7u5ObW0thYWFREdH07dvXzp37tyKSGVm\nZpKYmIhWq0Wv1/Pdd9+1+NHPnTvH/v37mTt3LlarlfXr1zN06FCGDh3aohw3NTXR2NjY0hhEo9Hg\n4eFBz549W6muOp2OlStXtnrM09OTGTNmcPHiRUpKStooqWazmeLiYjp27MikSZNa/N/Z2dlkZWW1\nRFveaFJJjx49Wtld2kN4eHibpi+BgYE8/vjjLQRr3LhxDB8+vJXKfjNwdXVtVTdxo7i2i9mVeMV5\n8+a12u5NmzZhMBh46qmnfnev/J8ZarX6pr53Z3rjyzJcGY1SeQylUsbo0aGkpJTz4MQR9J+0gH/c\nLmfbqXmMlO2nwDKCF16rZffu1wlUprBFeJa/P7qVCSN28fTUwby3KoYXno1DsDuIUl+gWnOelR9n\nc2KPBzs+6cDWHVM5tbEWJzcHii69qEvJgvBRENgdDryDu2cVM5Zkc+GkO7F5Q0HlzKxFqaTsd5CV\ncAGUTiAI/PORIWyM/4a/zY+j7EACL36QwHc9O/Hycz0pknWG0CY4t0PcSZUTGGpRVF7AChQUmhl0\naw/qk2VgKIeuM6g5V87urWZAgAsp4B1O2fk8cDVDVQ74R0LBAVA5k1LhAd46SNtPnYsneAQjd3ZB\nqbRhdA2APrNBsJJScpGLucFYvvgcHA6045dxx8pxfPLyVqxVTVDbAIEdIHgQnN4EEoH0Ah8UzfKr\nRFumBLsFBAGb2hP0ngR28iEwOZaDaTmUA0hEYaym2oBgLkAq5GBXuhAWHcq3L/Sk1woBo6kJYd9b\noNSKq6lO7uRfMoHZgVKj4GKxFL1eQ3m5AZPJxrP7wxEix0HFJagvBYkMhVaL2Wxj5cptfPxxOq5u\nKozDHgEbVJTUU5GUxb0zv2dZcC86BOkI7tWTvckgdzTjkKkpXy+hrCCV2NhY5syZQ1hY61XQCRN+\neVU0IyODpKQkPD09/+c6Jv6F1viLbP8E1XxHAc8Qwlu48/sF28fGxlJdLWXRogfJL8zHarXy/ckw\nLDbw8xDo76hj/LNumG1S1AooqIRHPoO3loiRe1tPQGWdneIqB129y1E5+9ErTMm08XfyzjovfswN\npk+30xxJGImHM6hVRmaM+5aCkmDWfzsLiURAZa5GY6mh1ikcJJBfJUcqFbA7pIDA0cSxXEt8W5tj\nBL7ZPbfVI80WkbhLbWZO7dNz7w+D8eisJz9NA3o3Xll/HK2zjcETnuHF598lY08lX67qyH2jRtDU\n8OuX3O12qK9v5tnPTjA5WM+pU72ZNEkkNXffHcOAAWq2bdtGdnY2W7duZfLkybi4uGC1WrFYLDg5\nOTF7bDADYxK5dVJMm/GlUil6vR69Xo9EIqFXr143bA2Qy+Wo1WoeeOCBny3wO3DgAGlpabi5uREc\nHNxGsezZsydqtZqwsDBSU1ORSCSUlpbSvXt3kpKSMBqN2Gw2FAoFSqWSI0eOYDabW7oYenp64uPj\n00JEvby8eOABsY2ow+HAbDa3qM4/50Hu0qVLu5GEPj4+LFy4EE9Pz1b7N3HiRAYMGICXlxcGgwGH\nw9Emdef3xrUESyKR/Gai/Wtx7NgxysvLmTFjRivy3KFDB0JCQtoo26NHj8ZkMv1FtP8PkZubi7u7\nOzqdDilq/HgQJJCUdFV6VChkPPm0hfjmUGaMU5Kafyd550bzzp0S7hgTQAfNcA4f7cvi2X14f0MY\n44ecolz+Gv94ajtBAc3YbG4cLdjGhJeSiOpZgsJtKCcu9GTNSxqsGSeZvULNF8nTCZqZSEGOXvRi\nB/XCVn+cD1ZOYNdXLmApo0vdizz90lZOTB/A3/qGgMUA3adAcB+eWVqPd58gUrZnEfRqM/u/9oO6\ny/5slTNKJVj0UaB2hfh/Y3UW/xYddoG44r4QEQj734S810DrLtr6HDaRvFZkieNUF4BSA3mnwW4T\nx0qOBZ0/NFWKFhGbGZtMgc1uh6pcSP4eNC44D7yFJrkrKDTg1Qmj1I3NqVKIuR1cfaHgNDh7orKU\nYZNLsMcsgJoCrEo9mC77GB02UZxxD4SIEaB152B8Hvo8sReFRAKCdxiUZyLYbFBXggNQdRvOpTo3\nhi69iMysoLdbHmnOCpqajLDvDVBokHYfhyNlH5bmJl5fk4mttAmFQoLNIcdolkBQb8g7A0fXgqs/\nEV20LF2g5/F/5AMQGCghrbqUIG8jgbf3pbChI4XxhRA0gou1RYzwAUn5RWwOAfy68vl+mNJV+rPF\ngoIg0NRkwcVFxdSpX1Nfb+bIkUUtz8fExODu7t6GpO9LFkU6v/9uh/u/8BvwpyPbDQ0N5ObmEh0d\n3a5tRIEvKoJbFTX+HqitraW2thaHw8GWLVtobm4mfPAzeLtJCfNqYt8ZLVKpleHdVAzqInq3344V\nyfaof0BKHgiCAj93KWkVfihroLQGVkz14kTWnZw4DyeShyIRbIRUHaRAP5S/PfM9BRVONNl1gIDS\nZkDuMIFEgn9tAqXufRGEK8dAnAikEhsOQca1pFurBKMF0ZcilaJRGxAcYLI4cd/cd5h3yzruHDCJ\ngrLONKYIUJ0JFjPPLuiPQmXHt24LI/vtw0eq48tVHUk6dmMJMe3hlukerHtlFDXlrgwY4E95eTk+\nPj4YDAa8vLzo168f58+fJyMjA6lUym233caKFZ9y+HAl+/Y98IvNSHbu3Im/v38LeR03bhxbt25l\n//79rSIA28OkSZOYNGnSL75m0KBBeHt7/2wygkwmIyoqChDJrVQqbVGYjUYjarWaDh06IJVKWbZs\nGdu3b2+VK15aWkpJSUmr+Mcr2LZtG+np6fztb3+76ULC9jLM8/PzMRqNeHl58cknn2CxWHjsscd+\nlyr06upq1Gr1f837d/r0aerr69vUU/wUWVlZlJaWYrFYWllm2lPigesq+H/hP4uamhrWrVtHcHAw\nixYt+tnXLV7ci1lzenHnmzYCFYm8+XfPFvvV22+/jUKh4MvPH+DTfWA47EVlYUeM9SbCImHx4ik0\nEE9fxw4E4MV5Mdyz6BFKDm5i2jQf9qVC4lYNb6z6mpeX5TJ7UDgPvxBMTPgoHI6RPLlBhrVjPDpF\nPlke03ntvY6kZPeHDllQeFb0MqtdkDS6kXFYQ7O+Hx8+bUfrohDjpnJOgaESiwUI7gV1Jbi4NNGo\n6wEOOTSWQ+pucPEGByBXQKcBEBIDqXtE24axWjwQ0ZNBHwQH3xOfzzsFzp7gGQoD7oAL+yDnBNit\n4usLkkGwg7EO19yDNLn2h7BhYKiFkjQask/C0MWipUQfCroAzNkFMHApCA7xpsPUiD/FVLpGY22o\ngeZGUIgFjiR9D3IV1eWNIJWB2pnori6cr3cRLTYKDe6qOmpTj0D2ORoHL4LadM6cjEftrMWnTwz1\nUj3mlIN45eyk3CyuPEaFyCiSelNd3AhuXmA2Qm0hb74+mKzzBaxdm0RqErxSXI+lUdzX0aMiKPvq\nKzpH30qFYhRlRhlxB9x57I1kfCN9GdMDPvIKx1NWzbCocuaP9MbPI7JNE7TCwnrGjFmPp6eG06dL\n+fbb2RQXN9LQYG5lEZTL5a3EjzNnSpg0eRMV/mOYcWt3vnvqt/51/IX/Fv50ZPvQoUOcO3cOedA3\naNzrCOUdJNccBlcGEcnuXz2uzWbjs88+QyKRoNVq6d27N1arteVCO/3WBUx/FWyxUm6ZPBmLxUJ0\nz2bGjV7Li59MweII59mZTbywQFQlK+vFVTuAyX3BbIW6JiitlSGVgKcrlNZCxH0OmkwSrniaexSu\nY2Lqco6FP81p9ZOYLKBSgNkqoUkbhGDIw7cukRJdv5/sgahjOwTxWGiU4KaFsrrLRNtYLxbMmI18\n++lUrDYF0+/djdWmxmzV4ugzD3LckEjsCAmboTafYz/4c9v9Wbyx9XNeXNKXA1tb59z2HVHOyBnF\nvPdkd0zGGzsVv1gjITd3NY8ssHDq1DESEhKYP38+cXFx5OXlsXz5ckaNGsXBgwdbCgIzMyEtTWD3\n7uMsXdq21298fDy5ubkUFxej1WpbyLbNZuPSpUs35ZWzWq2YTKZWKm9AQECLP/t6CAwM5Omnn26Z\ndJcuXdoqM9zV1ZU777yz5fUWi4Xx48czZsyYdsmpj48PtbW1v9rfCpCQkMCxY8dYuHBhm2LG7du3\n09DQQJcuXYiMjMRqtbZLtAsKCti4cSMTJ05sk8bSHoxGI2vWrMHPz4+lS5f+6m2+GZw8eZLa2tpW\nTYPaw7x589oQ7b/wx4VOp2Pw4ME/e5N7BQICJqfPWL3Ulc2fpJOW1reFbAcEBLSsci0dBzVn45nW\nNQyz2U5aWg1du3pRXlaJTScn9+hEVixeQlzCPqKi1CxePAIPjww6dHBl8ZABpI3fy/z53RnY9cq8\nDc6OGjoNUvP1R6v4bl8Wr615hgEhRZw/PA5X7WSCBx9Em38EuZuZuvSklm1WyiQYu98KOn9051ZR\n13sGyBQM6J3Ee+u28eFnOj5fZqb/mDKGTk7ivdcmYPYMEdVotatIiDsOgK6jIf7fYDWD2k0kxgA+\n4aKtwlAnKug1BeLjah2Y6kSye4V0AyU5ZcD34OIDCFCWBmGDRDJfkCSq55HjQK6EuhLIOAwWI7ro\nwUw48x6fN1yeH2WXBZ/iCxA5GlTOUJ4BCh1CYznnGztC/xhQuaA48TG1tY3ovZzQqOwUHf0E7Bbs\ndgFDvQHDmePikO6+SLQC/tVJlOBPyplchMgJYL0A3SbBxR8hP5EN6zqRdPJOYmMzqKw0MGGCjp0H\nHdQWVTN0aDjZhbC3NIwgbwkjo+FC8jl83e3ceUtXbunnYPuzMj5++TDfrUonWtmBhx6a0eYaUllp\nJDOzmsJCOX5+zkyduokHH4zh7bcntDt/phdCbRNYmyxUVzUxfGQz90283pn/F/5I+NOR7QEDBlBS\nUkKlaRPuggmHxILsdzgMgiBgMBiw2+1UVFRQUVFBY2MjkZGRKBQKmkxSjqeLnRifmCXe5dZxgHI+\n4c5pDZxJf445I64uzy8eKyaO3P5PManknvHw3UnxOYcgknFBgOqmqxO2VAJl7r15c1wpHk1ZTOgF\n2xJEog4i6e4TLXA4J4bWJpHWbdLlUrHpTbNF/L/NwdUJVaGm2aTGIUhBIuGzrxbx2ZdzRY+gToaA\ncKUyE4CSPCdyL7qQmaKjqb41gZl5Tw4T5hawf0sHzsZffyVBIoGAABfc3TW4u2swmTpRU1ODp6cn\nFRWevPdeASEhZ1iwYHSrnOnvv1/CqlVrKClJwmwe24Zw5ufnk5eXx9KlS1tZOxQKBQ8++GCbVts3\ngu+++47MzEwefPBBtFotUqn0V41z+PBhkpKSmD59Og0NDURHR/+sDUEQBN5//300Gg3Lli1r9zWD\nBw9uyY+32WykpaURERFxQ+TbarViNpuxX+lAdA2mTZtGc3MzCoXiup5nQRBuKG8bRKtI9+7dkUgk\nvPTSS8ycObNF9f81sNlsYmHsDeznvHnzMJvN183T/qlX+MyZM5SXlzNhwoS/srD/gJBKpYwZM4ay\nsjJWr17NyJEj2438tFJCCW+h8g9h4aI1+PleTQi67bbbKC8vJzs7m06dOmEwWJBIJHzxxbSWhiyS\npm7s+Ggub5x/go6+Em733cy8eTKmTu3C1KmiOmk2mwkLS+fSpSoGD+7QQuC/eWsjvYafQiH4cEtk\nEBNftjKsZzAXL14kKeUiTy4NZtVTJ5l512DsdgOZmWfx6zEY/479+WL9MdyCzjNuQi6v7+sOe1dT\nUV9JfnFHiipCwF/B7EfPMWpCFrtOLyStYSacXMfUzmfYXj8X8hJFxViqgJjp4OIFGUfEf+tKRNuI\nYIPSNPHnWggCdBkFZ74R7S66AKgrBIUKBsyHox9DTSE9nItIqahGcDggfT8tPRqcPcBipNFgpRh/\nPKimpuscUVGvuCTaU/Sh4uf7R0HxefDqBEUpgADlmdhV4t9idVUzgcPGQu1p0XOo0YhqtUQCdiv2\n+mrKei9DanWB6iIEjR6yT0BNATF9fUmS2LArNORlFrPtJAR374zxZDLrv6zkoYe8GDt2IHq9G7u2\nnWPqPCfeXzUWL1fw8jpJ07An2LPajHnHSzz99DCeeWognh5G7PZ8SkpK2pDt3r39uPvu3gQFubF4\ncS/uuiuWkSNDkcnanz+mvQI5ZVD7VQhG49Molf+blrSqqiqkUikeHr/N/2I0GsnIyCA6Ovqmrs//\nF/jf2MrfETk5OTQ3N3P++6ksXnInMlXb3OSbGbOhoYEVK1Zgt9sxm81UVVXR0GTmlW8UdPCEJePA\nRQPnclvcGLgxgmBew8V7ICdXw4Mfi90drzxvvYbbfLYfDNc0sLPaRXLtEMDH2cjU7rl8ebIz+oaL\nSO1W9JHRFFS13s5mqwRTYynQkT4dJQTKTxKbOYBOgWVUN6iQCx4E6GF4NHy4S/wM2xXe7OwJgoC7\nawUdg3IBCA9KJ+usM/KcOGyBvUXfX0ma2BChyQRA3C5/4nb5t3vc3ljRi53rQm6IaIM4r5eUNLJ6\ndTwrVgxotWyv0XhSXW3n0KHjLFhw1QbQ3NyMs7OGFSvuwGg0tku6Zs+e3UaFvoKbtTAEBQVhtVpR\nKBS8++676HS6dhXaffv2ce7cOe69995WRP8KwV2/Xoxq/LlIusrKSvR6Pf7+/jestB47doyjR48y\nYsQIhg8fft3XDxkyhMGDB7dSXARBoLS0lJCQkDYEMz09Ha1WS3BwMCaTCYlEQlBQEE89deNrnlKp\nlGnTpnHp0iXS09Nv2u+8fv16KioqePjhh69Lom/2ApCcnExJSQnDhw+/ofMlISGB0tJSpk6d+hc5\n/w+grKyM/Px8+vXr1+qctdvtWCwWrFZru+9TEoAUF8zk4Rz8b1S8AIirRnV1dWzZsoXCwhpGj76N\nF14YyfPPj2gZ32az4efnx9N/f4SSjyx07qAm2BreclPmcDjYu3cvvr6+dOzYkfz8fD744ANWrFgB\nQL9+VpasOo8gt9PHfy6qEPF9qampXLhwgQfu7sfchcE8vLqO4hRY/XAfFm/oS2WyCxXfjif94nEq\niycw0Pc02X0GoVE18vyqp2jK24ey6wDe/NtZtobrSTtZhcT/KEJNITu+VSDpnY26JJHm+gZQapFY\nGhCMcsg6IvqmfTqL3u3LkMslBAXpyMmpFy0e5gaozgNrMyCB0AGQUia+t6kKrCbcqcY37UvOdXoJ\nSi9Cc51oH5HKRQXd2Rt7QyV7tXPF33NPieQ/56SY7uLsIfq4o8aBQineCICokNcW4bCI1xp8wiky\ne4NHIFTlidtnaYbuU0WS3nkoOBw4ZFrocyvkJeHuYqPe4UvfGH8SY8XeC7W1cNc9e6grrIB6kKnU\n7C3swfHvNUwNyQEg7mBlA1vEAAAgAElEQVQaEX2qcQnrjqDvBBXZNJemoZRLeemlo/j6qtHpfOjV\nq9vPigRr197S8v+NG2fi6dmaixhM4o+3Dp65DQqrwEUL8H9HtA8fPszZs2dZvHjxr05JEgSBtWvX\nolKpePTRR3/TdsTHx4sdWyWSG1op/SNAcqNK0/8iJBKJ8NP927JlS4vi6ObmRlNTExqN5jcVL73/\n/vtUV1fz+OOPtyI881Y7+PqYBA9nqP5KQnyamJXd2CwmkZzMENue/30WTImBLi1pOVej8GRSsamM\nWgGDusCh85f3TdSQAQlqhYCzrIZo72zicyJRW6qx6YJF+wfgooZGE+idTFQblJfHluCkNGO2Szi0\ncRAyqcCzb7/JjO4jeOBj0Ch+QrYBb3UuFQcOcPe7JnROlbxxlz+CyQDmpps+djcCZ2dQqSTU1got\novmWLbcyc3YIMq6Sm4sXs1GrZYSEhFBZWcknn3yC1WplxowZhIWFUVhY2Kad+I3AgZlGEnBlUCvL\n0RUYjUY0Gk274zocDjZu3Iibm1u7LeX37dvHqVOnCAgIYNGiRa3GMJvNrFmzhoaGBm677Ta6du3a\n6r0ZGRls2rSJ4cOHM2LECKqrqykuLiY6OvoX9/Hrr78mMzOzJenkZnD27FliY2MZO3Zsq5sAi8XC\nqlWr0Ol0PPTQQ7z11lvI5XKWL19+U5/zW7Fnzx4qKyuZN2/ef6xAsbGxEYPBgK+v7w29fvXq1RiN\nRkaOHNmSc/57QyKRIAjC/0n7tvbm3f8mvvrqK7Kysli6dGkb21Z7kZnXoopvKeVdvJjf0hE2NjaW\ns2fP4u/vz9tvl5CeDklJ99Crlx/btqXg7NxIZU0Wb+3tRp3Fk3lh61n+wP2tCmUbGhp45513CAwM\nZPHixWzduhWr1cqc22+lgeMUpbtRUhdHZtYFusZI6dTVjSBextRsorq6msDAQE42D2Xw7YdxGBr4\nYv5Z7nsyBxPOnIod0pIDDfDeewksX76H9/dcYND4VFavXEJZkgOFwoejRwuJitJjtztobnYwZ04U\n3+ZEkPbVv1FrFdhsYLPaUA6ei59ejq7qNOeOpeDsrGDY8CDScuooya7FInMRizbdfKEim/6RclKT\nszBkXBAtIlfIt+AAJLj6BtAQswTqyyFhI2hcxetGcz0MWgj6EJFQ735d9H8LgrhaqtFB2BBIP3A5\nHSVZTC1x0UPkRPAMhopsSNwEg+8Cjw6QeRQuxYmrsf5RojrfcQA0VohjKTRwcj0Y65AoFAiGOvAO\nR2KuR6ivAJkK7GbkARHYKgrA2oxq7DKkag2W84ewF6TCiPug6LyojNstyCc+QkT1Vob2lnLgQC5j\nx3bmww8zkWmc6TksmsLkFPrNu43jFyUMUsSx7fs5LSr2mDHrOHgwl9jY25k69WoDpuFPQuIleGl2\nFfOGWpGq/fhsv537J8nQOUNmMVQ3wsDLlm67HRa+Ax29bTw3T/qzKvlvwZ49e0hOTmbZsmU3Vfvz\n448/olAoGDJkyG/ajpqaGpKTkxk0aNAfys73S/Pun07ZnjlzJiaTCWdnZ6qrq1mzZg3dunVjypQp\nWK3WdjsEXg9Tp06loaGhzZeuaDyBnzaEO7onk1k8BaUCYsIsPL3jW6ocBg6miJP5Y1/AvGFXLBvi\n5HQFjsvXLJNVtIGA+O+6B5t4+KN6SoyBmKwSzFYPDhd6IMglqJydMZqujCDQaAKVXEK1obWqa7CI\nvydf6MvQmKNMG3GSl9eMAKDZKr7XSQUGs7g9FaZQJB4d+GTZJdBGgq1anDBlila+PQACe0LROZAI\nv9RcsR20trQolTKamuyYTCLRViqlWCwOnAMSSGE2QbyKnukAdOkiZluX8SG1rkkg6YBWq8XV1ZUD\nBw6QnJzMHXfcQWhoKBs2bMDHx6fFbuJwODCZTO1+/xX8m1LeJYiX0NO6I1ZRURGff/45gwcPbrew\nTiqVMn/+/J/d23HjxlFQUEBNTQ0OhwOZTIbD4aCoqAidTseKFStoampqV3X38vIiNDSUoKAgQCTu\nmZmZeHh4tPhTU1NTkclkrYj66NGjCQ0N/dWZ0tciICCAsLCwNtnRSqWSadOmtSi8ISEh1yW5eXl5\neHt709TUxKeffsqQIUN+NxJ6rZ3oP4GCggIuXLjAqFGjbvg9M2fO5NixY62y2P/C74fRo0cTHh6O\nv3/bFbXr3Wh7ciue3Nryu5ELhAw7hFXowYC+46ipSeTIkXK2bl1LSspIvty2npVvpdBlTCN1+3ZQ\navAiNLRzm0QiV1dXlixZ0vJ3fKWzXiWbKOJF/Ls+QkDdHeSe34J7yFbqqKID/0Cj0WCz2TAYDEQ7\nvcdo/dfsP2ygenIU5rIivDy1LYrokcQicquUaDTVDBsWQHGBimOJHuw+FMBA3ww0GjObNs1i/Pgw\n1Oqrl/4di4pB7YpabkTtLEMicyKkXwhO9mp6RnlzLqsLTY0VSLpPJi/hB7BUQ3AYeIchL0nEdm4P\nCeckoqIc1Atqi0TrSegA6NgPGqto9AjApSYF98Z0CgKiIGo81BRB/GeQFQdytZiAEj5EtJAYakCh\nFZ8/FwtIIOsYIAWtGzRWQcJ6iJkL3p0gYjik7Qe/LpB5RFTGNW4QMRKOfCiS9IYyqCuF6Emi6m4z\nI7iEiH50hw3BdnkpOSAKCpKw6UJw8/al3ijDfP4wWC3g4S+O3ViJzFyH3S4qWiNDKtkvX8SF7zcy\noqsfr746lSPxX5N2vpwzP54Di5HdB0uw+3Vj954cfHzeoKDgYZQqBUfjipDKZZyt8uZfd5wivsSX\nPa+50r+jisxiNSs3eJKX+hV2j6l8eMiZI4cy2PtRBNNegawSqN4Ibk7iyvfW4wKW6gqydp3g669/\n/+6NEyZMYNy4cTe9Ijdy5MjfZTs8PDyuW8j+R8OfjmzL5fKWiVCj0RAYGEhAQAAbNmygvLychx9+\n+FcXkV0hO1dwNgemvwISRw9GBMXRKyqIKS9BbrnAk73e4daV34OimXXfL8bhkCEIAotXl/H4LF9e\n/ebqSeyng9LLdSoyqaiIg+jBnvOWC6E+TmAUyamApIWnXlG0lXIHfsoc8o1huGhBbpa0WFFeePBF\nGpvlrP/mKZ578yP0nhkUloRisV35dAGJxo7D2Q6VV4+HEDkB3FLF7mDH1oo+v2H3Is86iK0o/epB\nkACdh4kT3zVwdrXw8Jtn2bspiFMH2yqBG8/sQ6V2cGvURKRSsFjseHiosVgcuLqqqKszsWfPncQM\nqqas1A2lRoCf3GA3chKLKpXHn1yNHB3p6enU19fTu3dvAgMDsdlslJWVtbrw7tixg5SUFBYtWkSH\nDmIhp91uJzExkeAuffDQTceFth0KtVot3t7ebdqU/xrcddddOBwOTpw4QXx8PDabDZvNRmhoKAsW\nLPjZKD0PD49WnTCHDh1KYGBgK5Kxbds27HY7MTExLWkp3t7eeHvffCIMiET/jjvuaPe5a5f1Zs6c\n+YvjFBcX8+WXXxIVFcWIESNQKBT/Mx48gKSkJM6dO0dERERLE6CfIiMjAw8Pj5bi0k6dOv1FtP+D\n8PHxwcfH53cZq4adONz30216MRrceOKJWQQEbCA7uxxPTyt33dFMqKqKWsGX/msSuefSMIZFzkEQ\nBD7++GNOnLDi7R3B66+PQSZzY9Cgdcyf350nnhCVPVcG48E03BjJ6dRUSktLMaU+Sp+YbkhRt/x9\nREZGMnbsJNSOd3j5/WqGz/2Ii/fMIEyzEqlUQllZGYvetpLXFMgDUTmsXTuWiIgITp6tZ8qgVHaV\nT6Imbjcy2XmmTevCvmSxyL53J9jzTx2r3MPZsOE8oaHubNt2O59tL+MfGxwcLqyHmDnICpP44UAF\nVGXj7CanqSCZTgFQaHWBfnNxrTrNyGEexFaNQ9ZQiNTVB7VGSaNRwNlVzfQYCxuOd6exvIJ+g0NI\nP/kVjRG349Z/ItMi0jA5H+OHH0wYvPqKXm6zEc7vAu9wMf6vrhjObAWVVmz6U54FKTuQeXXAnnFY\nVLIBJc1YFGqR9IfEQFkm9JsH2UfFL7SpEpz1YqShRAJeYSKxr8oVveASCdSXid03XTyodw8Rizil\nMuh3G+x/C2xmSNyMXa6CToPBWMf+C1pwA5lCTuLpGj799Bzhoc6kZTSINwcSKfbU/XDhIHaHjaYm\ngSffL+OjFzdjDR5IeL8ePLfNHW95J8wueqZNfAM3Zxnf7nmYhW8aqVKN5eGRNjZ/dYxRI0RR7++z\nILdcJNr79mUTHOxG4j+dmT93PxERv9xAy2KFdQds9A0y0DPq13Wn/cv6dnP437mq/Qeg1Wq56667\nAHGZT6VS/eYL/do9Yj62SGqdyaueQKYN7h0PH/zgIN8UTU58JD/mdaRvmIxTmeL7Dl90o7jJjlIm\nx2oXefOiMXA+X2zR7uYEcZe5rKsWpveHuvoGDPUm7DJ3jFYVvjrIrQCF3IzdosLhkOIfGEx+Jgzp\nCgmZV33fg2L2Y7PJeePTp5g1fjNP3PsKy579lDOp/ZDLwIaA0CxvbQ8THOJalZMet0ux1INYNe6s\nxyZrrQhLis7S3kpy5x51zFiai1whtEu26yrVKNWiwvDooyHs3JnHiy+OYvjwSGQyKQaDhbKyJpZM\nSWZT8BkkAS/BUzNajdGRNTgwIr/MwtPS0sjJyeHuu+9u8VCuWLECmUxGRkYGQUFBqFQqHA4H8fHx\n3H777YCYzbt37166l3ZnxoxX22zruXPncHNz47777vu50+GGIJPJWhRth8OBSqXCx8en3SKuK7Db\n7WRnZ9OxY8eWczYwMJDAwEDq6+sxGAz4+/szffp0du7cidVqxeFwcPToUUJCQtqN8fs1uHDhAkaj\nkZiYtnnlIDa7kUqlrTpXtgcvLy+6deuGRCLB2dmZxx57rM1+/pHzqceOHUtkZOTPEu3a2lo2bdpE\nYGAgS5Ys+S9v3V/4rfDjfprqgzC6vkIDx9FLZnHrrbeSk5NDREQE0n8+jnAon1eeXscE/b9odH6T\nhFOb6RcTisPhYP/+Burq43n6maEYDBZycmrJy6trGV9FB4JZBUD37l6YzWaiu/anpgwuXSqgXz9f\nevfuTZcuXUhJOcOyZ7PwDqnF3KTFz9kDqVQUDEwmE7dEplNikpB4UMrp/lqW/hsen+nG4JF+bFzn\nwvx7BnDXiAoajTDheQG9s4MwfxmTeympqmrmtddGM2dOV4YMWcO5lCYY9SDvvdiLfYdOsvPYWWRd\nR6PxcGHODDu7d0vJya6n6y2jSCvX4qKt47m/dyH2wSYElStWlKx/AO6+eyeN1bWcagwH9UAUnQdy\nqs4JzGmQshOZJQ+/8f1467WDWC02yBc90Wo1mEyIzWWKUsA3AhCQSQXsUhnIlUjlcuyGWsg/DVIF\nXnoFlZVVYn2Re7AYUViaBs5eeKiaqPPphKOuTMzcdvWBntPEhC3PYEj9ASqzxS9F4wa9ZyGoXcXi\nqYBuItk3N4kk/Qr8oyFyzNXfTU3Yq8swmG0cPG0mt8pFjEqsygOpDG3JcYb3c2X37nwmTvJlw6fx\nWIzNqAtP0mRIYeVLD9Fd18gz/9hFcYORWdN7MCAC6kxakgq19OsB5SeGIr88HS68LOwWFtYzfvwG\n+vULICFhKd98dQurV8eTn19HcLB4DSwubuC9907x0EP98fNzYXMc3H3vD0iKznHu3L1ER4s3p9nZ\n2ZjN5jZRhb8XCgoKKC0tbVNP8WfAn5psX4sxY8Zc/0XtYMcpSM4RCxjsDrjvQ1rZJoK8ICYM+nSC\n3AoZTQ19WJfqjY87mC1w9xgDZy7JGdPNyIkcLTpnqKiHCb1Fn3ZpDVQ2iD8RAZBRLIrGj06HHg/p\n6OVXwMZHSlh3MpR+PeJxuK8mpMMlHn91LSPDB3H4kgS1UkwleWIWvL4VfHWwcOX3GE3iHWqzWUtD\nkytmiwoQmBtTxfptNeDTmeYm8RTx10NJtUQsOMlLpL60nBEj/IizjMQGyMrT+Pz4AaRyB/P7jUOn\nEz3WXbvqSU+vbjkeSce8uXvESLJS2r+b/tsEsWBPKoWvvqrgpZeCGDcuAldX0Zbg4aFh8+YLfPND\nEc8/O4Oug9r2XJfh1MrLPXbsWIqKijgbfxD//I+h922oRi0nMzOTTZs20adPH8aNG4fdbm+VaRoa\nGsr48ePbNBQA0ae9bds29Hp9S+MYEAm6XC5vUcd/CrPZTEJCAt27d2/jeRs2bFgb+4TFYmHNmjUE\nBgZy661Xl7eTk5P54YcfGDVqFEOHtj4G33zzDSUlJTzyyCP4+fkxbdo0unbtSmlpKUeOHKG4uPg3\nk+19+/bR2NhIr1692tygCoLA119/jUKh4IknnvjFcZRKJTqdjri4OEJCQujdu3fLcxUVFXzyyScM\nHDjwV9k0/ptwcnJqiZhsDzqdjlGjRuHn5/ezr/kLfzzYbDZSU1OJiIjg+bVzicscwoaHPAm97Lza\ntWsXqampTO5xO2mVUty3nsZzvByr1InAQHckEgnLli1j/JQs6v1vp1B2jEDXJ0loTEQpvQi0jSB1\ndXVtWRqfPXsje/ZcIi3tfm65RSyk0+l0JCTfg7tTAG7yXuilVz3hp0+fRm+/QNaZchJOVtL5WA1x\nWR0Y0sWGOn89r43wQe+q4OjRIurqipjYQcOFmi6czAjm5JkGJIdTqK1tZtIkPzp2bMLZWcu6da50\n9Jdz3xwfNo5yY9HGYDQjFvPppzo2bUrluT2BpJVr8ancxYiwHMIC+zJpkINR0QJDokBmqEBdm4mx\nwYx/+CgyC8FanIFS70NwQDVZJwqoAV5/KxGsDvR6DWFhHhQW1iOX2ykuMdF53Fiy85pZOlHJYw+M\nZ8SIL8jf9yaenirueG4W/3r1G7CaeX/oDwR7Cdzy3STcNDbqE78SD4xnKGjd6dqhkri4O3F3f506\nsx2aKpFgR6gvhdOb0UT0obmuTHxPc6Po/Qax4N8/EmoK4dRG0aZSkSXabtR2TKl7RRXdxQsaK8E7\nDJw9yStvICP+NLgWwpAlIFNgbCjj4I9nCQuTcbhpFHUddDy3qCOxuwvQOqk49cW/eeOoGK04YIAv\nixa58/l+K8HeCjKKwOsOaDDBEzPhxcuLitnZNXh5OfHCCyPo2VMUr777Lp21a5Po1s2bBx/sD8DG\njed5/fV4vL2deOSRgUyJgYljg6jNqMfP7+rK6bZt2zAYDDz99NP/EZHj4MGDFBQU0KlTp9+0Gvy/\niL/I9q9EeXk5Xl5eLUspr2wRFeNFo2HXaZjWD9ydYFMcIEBJNcSlwSf7YFDnZjT2BkwKD1RKOYdS\n4FRyNvcNSGBf1d0cu5yq1NkfHp0GY58DhQzkMrh/IvxjDvRbKS79hfvDvRPAVxdEchm8thU+iIhj\nYHAmNXXulNc6c8armpI5BURtCkJ3Qc/UfvDP78SiR43Dk2aj+HmGZi2H4meTdkm8kuxdvxcuZjM+\nrJ4GVSBZUfdRWq1Go5TQjCvuQ/rTu0MVSetrcNhP0EFZg0cXV+wOuLLAVFsr3nFcS7Sv4MyR61sY\nHA7Q6bSMHDmG/Px8zpw5g7u7O9OmTePhhwcwYkQIXfr4gUSCw+EgM+c0fkFq3BwdwVAlFtxchkql\nEmPrDDVigwbPTuBwECSpom+fPvTo2ROlUsnkyZNbbcOVJjOlpaVtJgatVsuMGTNaVWQLgsCGDRtQ\nqVTMnj2bgICANgkY6enp/Pjjj5hMphtuDy6VStss3YWFhdGzZ8823R4FQaBv376UlZWh1Wr57rvv\nyM3NZdmyZfj5+TF79uxWhXyVlZVcuHCBQYMGXTet41rcdtttmM1m5HI5u3fvpqSkhIULF2IwGNi8\neTM9evSgY8eOnDx5EqlUSr9+P811v4oBAwbg4uLSxkMul8txcnL6QxXA/FpIJJKWm6H2ViN+CkEQ\nMJvN//WumH8WGI1GPvvsM3Q6HXfccQdSqRS73U5GRgZhYWEoFQooTCal0sGOnT8wdOhQVk4fRdfT\nHRh4uXZNKpXi5OSE9v+xd97hUdTrF//MtmzKpvfeQxISEgidAFIDCAKCgIoICopXBBUVvXpRERW9\n9l5RVJoKiHTpHUJLI52QENLrZjfZPr8/BoKRInib9/44f+V5dmYzOzv7nTPve95zHBxwHPkEjqGj\nqP/+eww/d2X+fInkpaenc+rUKUbfFUKr3A0zFZxnJ0VyE44Y8W9poaampoOcSBRFrIKWFg7y4Dx3\n7ni8mCBNDthSQSbHy8uLW4dNu+LnGjp0KJ06dWLr1iM4OCh559lonjdC8761HDqVj88Dd9Ktk5Kq\nqioqKyvp5ZPOPQNNqAJCaGnzIPSlB/Hzd8bPz55hw3yorq7GQdaA2eyBUinn7smxfH5Ui7tST7du\nqwkI0PDDu53pMldEGdWfp54IQuMAGxdK61SX++vIrPIAvYppU5QkdiuhSV9NpyiBlYUBnNN1Acro\n2tWPEycq6TF+BEfXbMZiqae52YAgQHiCG7ny3uDfTI6umdBQV5RqNfiHUFd3hvcWrgabiEwGfX1K\nCXI1Mmd2Ahk52bQEOmAO7E02/fBUaTlmc2Lm/HSCgpxpajKA1Yx48BtpkNM7BlPYIHAIlQYtbRac\nM5ehjRwDhhY4sUaqequdoSKHoGh/dAmTacw6DiV7oOQwdB4hRdxH9AH3YPI3vSR9MdpqKZDI0R1a\nmzHJXXjxtTFM+yoAmaGV0cMDeeHZrQj+cYSpWwBJyWIyGZg5cxeFlVnQdzqubg40FWajqCvAfuIo\nmptF8vPr6dPnC0aNiuann6RurMEEmtgefP2tO5MnXioCzJ6dgqenA3fcITmjuDnBpi+SgeQO19Ft\nt912xbTb6kZ46GOYOQzSut3wz64dI0aMoLq6+v8d0YabZPuGkJ2dzY8//sjgwYPp168fRwukavan\nf4GvdsDCCw/TB5bA17ukxdNHo6eo0gmrDQ4W2AORxAdDQSFE+4s8NbSaeWumUiP9zvB3hyY9LFwB\n8cGSVjvzrGT/89gXkkZrSn+wt5OecMNngbsT+LnBo6/PIzxoNDptHJ4a2LVLR0KKmrvTRJZNzuJz\n1DyySsUL1hAGPytZCXWNgL89+CVuHifJO307e054M/HuXmze5EnK4fHg5cS5OSMRX4lALbQiU7vw\nl2kfMH74D8ypmkJLno7svVsZPiOJGf0u7w74h+oIjWnh4Nbrq+x16gQ1NUoaGsxUlNay5J6/4Tco\nGAcnDbYLViTyqhxSunUGQUCv11NYWEiN85O0Kmvp/E0gqiM7YVExuEtaejs7Ox599FGpbTV+Cji6\nwa53UP/wGKOmfgFXCLvQarU4OzuzefNmcnNzue+++y4Lxfitk4cgCIwcOZLa2lqWLVtG7969LyPU\n8fHxmEym627TqVSqy5w8DAbJoWDMmDEdWnGNjY18/PHHdOvWjbS0NM6fP4+Liwv9+/dvr6LHxcVh\nsVjaXRmOHDnC8ePH8fHxuczt5FpobW3FYJCmcBsaGqivr+fkyZN4enpSVVVFSEgI8fHxvPzyy8jl\n8muSbUdHxyu+7u7u3m6N9mdCaWkpvr6+NzzbcbEbERMTg5+f3xVtFzdt2sTJkyd54IEHLgsQuol/\nHCaTicbGRhoaGqipqcHX15eMjAx+/vlnBgwYQGTVLgL3vEj0qJfp27cvSUlJuLtD5yAD2qYWvLy8\neEVVzaHZA1hGFBWY6NSpEykpKR1sH6urq7E6nKDS4S1ai3sQH/gmjXZBrKaGkbixYcMGCgoKCH9k\nKjtcLHRdcQhLdT0T5pqoly/Dr2sywV4nMXz7M2rvh2kZ1hdXhnRwQ2ppaUEmk9HY2EhgYCAuLi6s\nXx/MgQPpyOVmwn3tmffFO7htPcDC5ufY8XkwvXqFsnL9YbaWedFrgIahvaX1w3+KEy0FJ/j+g27c\neuutVFZWMmzYj7S1WSgsnINcDrFte/js3RP4+2vQaFQkhMJLdwmEeDuRkJAAQPPp/RTolOScUoKv\nG9HD+1Nib+SlYQEkBJ0mNTUVj8/0HC6IY8QYK/MfTiA7+zzLM8M4mm+jOWcrAImJ3rS1GXl1cj1v\nPvcze3eU0qltLgGjplJU6Ajpq7BV5SGTgZeXI6sjv2bu7GRmNttITMwGWpFl7OT1TwJReYfy3LdW\nPv/0GEP6uBPaPYWf9zSCe4iUnhneA6soEJEQhlIeR97BTLSlJRCkh6pcyc3EagZTKy5+3sQmy9mm\nd4Kwngg1eYhKDRTshtghki+4UY/oHQOiDSdrLbrig9KgZm0xTp5uTH3DitUVMBo4deo0neJ8KCwp\n5UybHs8Ab+qabZw4UYdg74g4cCbJoVb2vgFdJik4k1vBmk828syMMnDyJCx1ED0GOjPieZg/Dkpr\n4KHPlMwfHcnwxjZ8fKT5NI3GjhkzOhLrK2HViUhOF9VyR/FPjBo1qr0okFMGaw5JPCPRr4Kvv/6a\nwYMHX3NdvxJ8fX2v27Xpfw03yfYNoEUMwMErsV0i8MIKOFYEiaGSXEQph5QoaKw4yeMjA3h9ozcy\nmw5/NxUNWhOT+9lwdXGitaWOnDJvapoECkxD24m2tytE+EqVcF0bvP/oQRJ7z+b1Txbx6ZYxlNVJ\nFW1EqGmC6gvSv4YLznsCduSdkUicpxO4VzmxVozlmFWPTrSSL7QhqtvQIKJSCshlcKIY/lb7IL4u\nZ1E5+tLQqiAmMZKxIyM5suMIwqgGzj8TDXKBRqMk/Wirvo2DW47D7GBq9jtgO1rLzp1nAUn+cdGe\nT6G08uqqg3Tu0cj4TiM4m//7vpwGgz2hoc6YTI3sG/sR8U7neC9vKrM/fROZk7s0nf7t/TDpPXQp\n9/LOO++QJstE1dmbLQdd0JaGMTDBHna+DTmbYf4BcHTHYDBw+PBhkpOTcZUrIaIfxA2HUKnN1tbW\nxt69e0lOTqa+vp7Vq1czfPhwunfvjouLy+8OXImiSH19Pd26daOlpYXW1tYrklelUnnDC9RvsWPH\nDo4dO8add97ZIVf0x6QAACAASURBVB5cJpOhVqvbK9T79+8nLy+PW2+9lSVLlnDLLbegUCjYuXMn\nUVFRTJw4kQEDBuDv799BCmE0GrGzs8NsNrNmzRrCwsLaj7mhoQGLxcLPP/9MS0sLsbGxTJkyhWPH\njrFp0yb69+/P448/3u7qMn369BvW5lkslnbHoD8biouL+fbbb0lJSbmsE/Jb5Obmsnv3bm6//Xa8\nvb3buxFnzpyhsLCQvn37Xlbh9vT0xMvLC7VazdmzZzl16hRDhw5tT6a9iX8Mrq6uzJw5k9ra2vab\nflRUFCODrHTdNIWMkAkYVBG4+HdlSNdLxYM1a9ZQVFTEXXfdRYFdFboADSvyVqAu3sumwUNxM+no\nnNvIwIEDARg5ciStmQ3UHluPtTCDwrDprGcEj/EU3dGwXBSRyWTkWeo4aRVxba2na0QpLrZpyOSA\nZQiOC8fhbFBT9WQzNTxGCEtwR5KUlJWVsXTpUtzd3WloaGD27Nl4e3tTVlbEqVP7cXQUCQ0NpfLV\nJ8joOo+67E7M+0Jk52LIae7OgWo5hS02hl74fIG6Y6Sf2M2ImUrWf9GD0T0CCQsrxmC4pFF+8MEU\nFAoL8fEK/va3XD755BiP35vA2rVrOXIkjJ4U4vLVVPZb5vHYqP6EeDewYGt3iio0OLvLGDpUsieU\nq+F4KbzxQHcslnp27lxOlFsswukc4jt7ERHhzsaNhVgsNpKCoP/gCH75/jxnCirokRTH/fZ5fL4h\nn4gI+O670Xh7e3Pw4ElS+n7LvfcmMXSomrIyExaLC8N62PPwMiMyQY53Ug+2m8JYPqaN4eNTWPjy\nEerbmrCvOMLy19wJ9ZDRd5QZgrpITinns6G+FAITwS8e0ldi0zXRf9Bwtm0QpFwJr3AwW5A1lmBz\n8EBm74SttRmUamRmPbraevCOJiFcSVamE7q6BgjSITi2odCfZ87jWYj2rlhbW8A7irrQVMlb/Ngq\nxPDeyBUyTpZYeei1Ss6UtRIwdhY5vyyTLBNdAyjR9CO8Kzz7hlQ4e3ws5JXD8tdW8d4jpZSVzsPb\nW3oI1OlMpKR8Sp8+QXz55W1X/H18uR3Ka92INGXRrVtv9HoZMTGeDOoCx96E2CBoqpcKS//fNNf/\nKG6S7euEKMLQRW5o7MfxxAU/7GcnSVXo+eOki3DhFHjwAwuj3+nCnJS1vDB5NAfzXRk7bjauhiZi\n7J6VUsdW7ybc8z7O1Gl492fpvXpEwVMTJL32k+Pg9iWw6ZiCbn3VpCUrWbUZ+sZrOVag5OUf7Glq\nheenwNAk2H5KkprcPRCW7pDer7BSGoY8lA+TX3ckzLcLG9+zYkNkNXUsfE1BcJkbk/8OkZZocs76\nI8zIIyJRw7PvheDnDnue96amBr7wq6ahyYFU31xyGj0oyDnJXfeU4FG7mqfeknTEoaEunDnTiM0G\njz7akw8/TGfW8xl07tHI1pVBnCu6RJxkMvD2dqS6Wn/ZEOW5cwYMBjm+vk7Ed/LAUFpJdOtR5M8G\nIzyfDyEpEDMIQntiZ2dHZ287up5YjVEbych37uW55/oz8MFU+PpeabjGIlmz5OXlsXfvXqxWq6TP\nD+0Oc7a0/9+ioiLSD+0D0UZilyR8fX3brfV+b8gPJGK7c+dOJk6cSFxcHOPHj2fnzp2sXLmSmTNn\n/iFP0t/CZrNhNptJSEjAarUSEBDA4cOH0ev1DB48mObmZgYNGkSXLl2AS61lX19fnJ2dUSgUbN26\nFblcjouL9OCk0Wg66KRLS0v5+uuvGTRoEAkJCRQUFGCxWNrJ9rJly9Dr9UyePBmTydROFuPj42lu\nbiYpKalDhe+PaJUvpm8+/PDD/5Tz9s+En58fiYmJ19WZqK+vb0+S9fb2xtXVldtuu426uroO5+7X\n6NmzJz17Sg+Ae/fuJSMjA6vVSk5ODtOnT7/qLMBNXD/8/Pw6XJdKpZLu8VFwrIag3v0ZPft+Jso8\n+XXsRmxsLHZ2dmzZsoXoujqmD/cl/sh3WOPz6WF/kB99JzKx64z27WUyGU6Ro1D/sBMhtjsNsk/o\nQSZuXBxmDqCt/ixTPh3OXc2+HOrdi4TbjqAnjEAWgJgjJZr4dqLMYwZaNHSmD41YUCGg0Wjw9/cn\nKCiI3Nxcjhw5wujRo+ncuTMmk4nOnTuzfft24jIyWHz/dJZsEkiNk8jR4+PkhPvB5FRJ8iGKIhu+\nSGHhEgWVmkS6XVC2XJQmXETXrn6kphrYubMAvV6O0WhlxYoVlJaWYjab6Tm4KwVOA/i+ZCLdop3o\n0sWE7fnvSIwPwNnhErl77V54ME26Z27YUINc7kNKUgCzZqlJTQ3mrrsSOXr0PDU1Oj7e58G6rABo\nsjDaew9fzY1j+XITn4siI0eGEB8fzXffbePZZ7PQ6WTodCbmzInDbDa3OyFlH8uhyebK3SlKfjxc\nSYiPG30jBOZ49iJqjCOjI9cgb3LiTG0krWdzCYu2o05uoaXkQmSziz+BMSFE+PVA1lLNE/d24ccT\nzeSersHTUoxToBdljQpandy57eHJbDipAqOeO4MOs2Klhu5jU5k2PpDVxs5sX3sITq5F7HknZr9k\nLOdyEeNGIMh/QQzrI1kmWkySpSGAsQmqz3Ji3QnIOId9mDMzp6p59+9gZ6xmxdMiP7y/lunh/jw/\npRdKBYzuAa+LwfiFCDg7/8pJTBRpaTHR0mK66m9jz8vQqDXj7TiTOXP28MMPp8nJeYjYWC+6XRhd\ncvD3Z8GCBdf+kd3EZbhJtq8TgiA9NTr8qnPcuxMceK3jdj1jFBzNb+Oe2/vQLV7FG+sMxEfl4aoM\nJEGVTEtLC0P6lPNMjzZSFmio08I3j8LUt2D+l5JMZEgXOPk2WAyRZK+cTe/huWxdZMOryxMUF9zG\npi2v8GAaeLnAthehvA6c1OCohgUToKFFWqdLaiAtGe4cAKHeAq4oMGDjJcrxQcmOYDcy3gXwQYsH\n48hjeD+BM0dsuDvJ2Lx5M5U1BSx/ezO5xQncEtmdWsVnvCA+y5afE9Ekp+L5bRK3dAmg84wo9kaV\nI1MIvPPeUQQRju7wITKhmX0b/IhOaiL3uDsaHzkt1VZeemkQr79+kPz8euLiPKmq0uHqqmbx4sFs\n21bM0qWnONT/BxJrv2HIwQ8R3DpJiWDuQTBPeqJQWi3clv8KuAejeGA1TS/EX9IdT/tKav3JJXPy\nzp07Y7VaryqViAvxJbbpPYQzWcjTfuKBBx7ouIHZIE2jO11ZaxYYGEhISEiH1v/1xpMXFRXR1tbW\n3oq9EsrKyli+fDlms5k5c+a0B+QcPXoUrVbLgAED2LRpE9XV1RiNRlpaWhg0aFB7KuLcuXMBcHJy\nwsXFpQNpKyoqIjMzE19fX9zd3XFzc8PFxQUXFxcefvjhDhXVXr16odfrCQsLw2K5VPVydHRk6NCh\nZGVlsXbtWiZMmHDDCWMXERQUhMFg+KdrtWtqakhPT2fAgAF/uGp+Uat/PejXrx/JycmXpUper15x\nyJAhqNVq8vPz8fT0/MNppjdxdRw6dIht27YxceJEwpY0YNHYoyQf2QWf/6c4yyn0TEsOpFtyJ6Iy\nCzlR/DkevVYhRIxGV5hCdUEmXichuFdHC9hGpyM43LuIYHxotH6DRbDxpVjF0L1nscavIqHfQfJl\nfpi221Of5Ye1egBuPiPh6HJYeheMfx0GzWWn6Usmvr0KfUgjIyY9SCAqfnDrxMyZM7FYLGRlZVFZ\nWQlIsrNevSSL0rS0NJKTkwkJCeazCzPcoiiiVhiZPkSaCTCZTLz//vsEBATw0RuTLjs/e/bsoby8\nnEmTJqFQKC7MhPjyySczkclkbN7cgNFoZPz48VjVavJveY47uvnRkPctRUVBlORMw9FR2eE97ZQS\n0T5/Xsvo0atJSfHnmWd68+uckx49pCq4fyx0DQugKgU6RduQyWDo0HA6d/YiLCwGJycnAgNjqa/P\n4sUX+/Pss5I0Kzu7hqio93j++QF8NkeB8tSnjKl7kaVvfcfaMiVKZRQPpiXRKzqezm5mIiMjL+Qx\n3M0TT6ynRGtELhcAkVv8TrF9xQ7K5Qrum9oJlUqOXnBB9HKh4Jcozp8r4mSWhiONDtw9UI5NCRG+\nrrxxXxpffZZG2kKY9QGsfiiZMxm5nDnTBDlbeWFOKIqJo/nr9xpEhQOBlZsoL67EJbYrvqkjGRJa\nweeLvsHaZqbKw56Igbfw4N2hzBjkQXHuGkJC/BiRbGX6xgKCg6tRKqTvPTUe1n7Vnx5RkqvLRWg0\ndpSXP3rNinSgJwR62gP2jBoVhdlsIyDgj63jN9ERN8n2DeCFO39/m+lDYPoQ6WIFeHysGivbEJAW\nHI1Gw623SpPo+16FNpOR8MAmzFYfgjwhuxT6xEJcMGRmlqNX7KPV7RC2igTKM4PpE9mDCb8J4wv8\n1b07umNgGkD7QgugRsY8/PiKWvbSTC80mBFxRsFGnCngDqyP63BhGq1NckrV+bTJu9M9PAK10gkR\nVwJMzlCdRIu8DzKljAXP9GP4O1vwWNKJ5mXlKI/VIgD5J0IpzKhm0TdHqax14c2n59JzwUG6244g\nNBpx9jPi1eDCffcZeeyxS64VKpWcmho9ETG+OJ6vA1ML3L9SsmSqKYTjqyXf0+ELIC4NNN4s3XoM\nrXZnu6UfAG/dIpHkQfNQmvSkpP6GQP8KcpW9NEkuACd+gK5SxV6v10sk5+NxULwPFpVIk+e/htVC\nWIAvYa75sCcTJrwJSOEagwcPxmAwUFFRccWQDZA8vrVaLREREWzbto2wsLD26vRFaLVajEYjzs7O\nHQYZp06dSlVVFfX19YwYMYKGhgaOHTtGRUUFxcXFDBkypIMt3ZWCbHJycsjKyiIrK4uYmBjmzJnT\n/pqbm1uHbS/eyL///nuKioqYM2dOB+J6/vx5zp07h1arpbS0lOzsbMaOHXtDxLl379706tWLX375\nBZVKdcPDm1eC0Wjkm2++QafTERQURGJiIrt370atVrd/pn8F/hGCbGdnh16vp7a2llmzZv3hOPmb\nuDpcXV3x8PBg06ZNCILA43Nms08Rh0F2llP0Jw4/fmYBizmHHPgm4VXCQ8qoLQomOLIXnbzGEYON\n4OhRZJsnE2x6A1OrHQ3Go7QGPoHjz3ZoskUSqzJYPel5GmKa2LdvL50TKlAY7XGzNOOQoOOoOoHy\n9TVMjq+jZ0AMloCu5GvV+GTuYlr1c/jUNKKwL6EXGgJQYaYeJR6cPXsWlUrVwU3LikgrNjRq9WWh\nU7/88gtHjhxh5tTJnD+TT5Noj1qtvupAbllZGefOnaO4uJgjR47Q1NSE1WptJ2zx8fGYjAYEg5Z6\nvZ4T6fuJiKhk4kwpzlujucr1f/Q7/E+t45WF0+mUdGXbTJCkEV0j7DjZaUz7WtTcbKSgoIG8vDoA\nRo2KpapqPl5el4oCjY1tnDnTyLlzWhYs6Adx/eDbEPSCPadPZ2Kz2fhwdhLSSP+lzp6zs5qTJ7UA\nfPTRcCIjW1mxQgvbq8BqpqysGYDtL4LOIM1ORUZGEhkZycQL77Hurx0/w+KpMDIFbh/mxcTiuTz3\n3E7OnGnir5PlyOUatq9cx97yTGIHhVFeDK/N82fWLDnNzV4c/N4DR0clEyfG88gjPS+8oxsbNlyy\nEc3Pfxg7u45UbuxVlrQbkX5Mm5bEtGn/HVHo/w24Sbb/DZDjiIGznOdVfHkQR6QLOMQbSniaHLZz\n55AN2BHMkF9d24mJiXh6PYfctgd39wSaaxX4O1wer21B5E0qSMCBEbhhRkT5qxTKJiwsoJQyjHxA\nOPtpZhRfYiaBB0gljza2E08NK9FiRomcr9DR2bWMUAr5lu5Mk39DPSEoqONZu2Jq7/8OL0QeFZ9k\nfkse5xbmYu+opHtJGisWjQVrG8sWzSLR1ky5LYA13uMJezGOYKet+DsZUcnXsXRLL5r1Gdh0HUno\n+PGxjB9/oQI95HHoNxN8omHH2/DDo6C0x6a0I3/IcSzDhhHlORXvrVuxd1Becu0w6qH4oFTZ/v5R\nMDST79UfD08vPBUmaK6QJCkXoXaCZ47DY65wegt0nUBeXh6rVq0iLS2NnmG9pDhhuytURD+8VfJ6\nlSulwIMLZPsiNm3aRFZWFjNnzmwn3IWFhYCkFx07dixtbW0YDAYyMjLQ6/UdyLYoioSEhODs7ExS\nUlKHSrObmxufffYZVquVp59+mpCQEEJDQ8nKymLXrl1UVVURFBSETCa7qpXT8OHD6dKlC1VVVdcl\nmQFpeNHT0xOlsmPVatiwYfTp0wdnZ2eOHTtGQUEBzc3NN1ylbm1t5fDhw4iiiFarvWLU/Y3AYrFg\nNpsJCAigc+fO7Z7q9vb2/1Ky/Y9i5MiRpKamXvbQcxN/DBfzFC4Ot8bGxhIbG8uGDRtQGJoQF/hT\nENObsw/Mx5UmNDjxFCV8iAcG1JwSZDg4+5Ck7kSF9in0+Xto7VqFUV6KRSEjS3Ebrza9QvelRxn5\nuBu+xzNwrtajt3NgYFsI37o7cm5BD0arVuGU7oboasDooaK4dwi1Ke4EHvgBedUkdinvYHd0CIs2\n/JXgGCsFM2LwCXyJF5rdsbrsJZunCOYlWlrCaGpqah9WBniBc6yngXV0IpRLJNqK2P679Vw1DY/S\n47zrN59H/7oIm82GxWK5TNp0US524sSJdlvTe+65h5KSEsLDw8nOziZg78uof8mgfvom7rrrLry8\nvNplaldFxk8Ip35kwbPPg3+na28LJCdfGu6LjvagpmY+Gs2lNvNFXfJFpKaG0NT01KVtYofC4rO4\nAH8JT71qUFj37gHce28S4eGuzJwpkdvs7CMALFjQl8WLJWvGoBuYXe4WSbsEA2DRoo42pr+sH0Nr\n6whWr84BYMIESaLm4qLmxImrF4gu4uIQJIBOp6OkpKQ9u+Am/jwQrqfN/d8KQRDEP8vna+BnSnkK\nP+biy6UfUC3f0cxOwngbOVdeAH4PFZgYSg7JODIGdxZxjk+JpDcaDNgYSDYi4IuFB3iKYkLoxRHK\nCWIvH5CFniU40UIGDxGMD3KqsaLERE8KmMIHiHhRR1egmK2MZh6rcGQ8U41xNNoJWM/o6Wl05Fgs\nfPT503iYyzHPtnGIYRxnAumomEcNwvkQhsmcUfsdp5ldtHAIJ7oRwSdX/nALAsCghbe0cHorDd/N\nYH3abILT95Donk6hEIWboRfetwZSGrgMDX2I5HNJZP/jfHALhvBeaBtqeGvDCYKDg5le/yWcOQiL\nS8HtgsOI2QAyBeRtl+QniaOprKxk3bp1DBkypMMg4kUU71iJp6sGl31vSXaDs34EueqSR+sF5OXl\ncfr0aUaOHNleQVq8eDFWq5WxY8d2cDWpqqrCxcWlnZw2Nzfz8ccf0zkmioLsk0Qn92LYsGEdSO6h\nQ4ewWq30+3UfFsmdRKPR8M477+Dq6vpvD1Uxm800Nzf/YZunM2fOcOjQIbp163aZxeEfwUWd9MUH\nsurqahQKBR4eHr+z538fBEFAFMX/yN32z7Tu/hqtra289dZb+Pv7t4eZtSN3O7ZVc2gQLPyU0IeM\n8c8wgHTCeZliBhHACBbiSJ3BkYTMSp6OPYLfJ+9icxE4OzMQWZMVMVfA3svAqXNJJOYoscxsQLHt\nLK0lGpJ7P4XQfTK9xUy02OjHPgRbKP7Hstgdk4JLCxQEeZOm30eCeBvLtCU0+tnxlmU+rspGEEXy\ndvSm/GQss58YzDnxeQILU9H43YtBqelQmV5KNRtp5BMiKMFIKHYcpoVnzYXMkflznzwINr2Esfgw\nTeM/4kSAEwe+/wnvSu1lzkcXYTO28dOmLeh0uvZOXd++fUlNTUW77kWs+79kTcBMHlrw4vV9GYYW\naCgD//gb+g7NZvM1Cwf/ChgMFtauzWXMmBgcHf+xDtu/GuvXr+fkyZNMmTLlmv7/N/GvwbXW3ZuV\n7X8SqvgEBW54cscVX3dnNGrCsKcjafDiLry4cuz1lf/Px1jREcB8AH6kHi0WnmnUECioaXWV44YC\nB2TUYWYvWhKxxxEFj+BMCa2oMPMCizBbnEg2mqhwNFPGQkJJ51k+Zw/e2GgjguPkEso+nqOICI7R\nRhh2lGAkDTPufEaT3ZuAgE+gI8curEMf3/8OBTSQyh5u50ciOclUxuLCZ3wWMIt7mIuAH+W8ggIv\nwvn46h94wEM0yar4OftTurTCqzNfJSM0nm+Op+N5VIsnx4HjmE1JOA/S456zB8a1gcoeJrxBW0sT\n9hpXNKEiA3XOBAQEQJ1cmjB39oXjP0BoD1jSXZo4f3Rn+7/28/NjdoQOlo+BudsBQSLxuhqqlH4E\n/3A3CqS0S7yjpcCfgAioKZIq51FSQE2nTp3ayaJWq+WnZR8RH+pLRlE5Z8+e7UC2f2uLZDQakclk\n9MxYwsiGHNY3vs0bb7zBnDlz2iUKvXv3vuKpc3Nzw2azXVelqaysjOLiYvr373/DN7LCwkIcHR0v\nk8kolcorEu1jx47h7e1NcHDwZa/9GuHh4VdNZrwWRFFk48aNqNXqDu3130pRruUwYzabOX36NLGx\nsf+whOUm/hyws7MjKirqikO71uoC5NV5LL5/CWK3W5nBfdg3KDlbN4We0bPZhpVyKhh7pIygM3UE\nbP0UhxodDW7uFOVGMGLjDpyK2wCIEkoRRIHME+8Qu+kRavu5Map7BIvRY7HacDK3sF/VF0Euw7ln\nKCOszqx0beSu5kacXBzI4lsM9CG+rBh1sIlKUxhBijZiBqXjKRvPWxUyQkvTiF32F4zdc/ja3JvQ\nMU1s9wqnVJHADHxYRQxFtHEPhUwsPYOLEMDmj8fR5uwJC7LICRmHY9zdaAJ8eZxsPAZHcff32Vc+\ncWueRLbzHcbN2QIx48jIyGD9+vWcO3cOOzs7vCYtJituMkN+xwqzJicHz5gYZAqFNH/jEQqvpEBk\nKkx863e/P4vFwrvvvou7u/vlD0tXg1EPujrwuHZ8+bWgViuYMuXq8zR/JnTv3h0HB4d/OLTsJv75\nuG6yLQiCPTAFSLiwnwNgA1qAI8D3oija/hUH+WeHDRNVfIACz3ay3UYRhdyDL7Pw5l4AHLhcL3uj\nqGM1Vppp4kFW08AummkSrVgdjDjWaznqOpQRSC3nlzjHcura9z2HkWms4x3KcbSCKNcjd/gGF+NY\nflANYIEQwWS68QWFNFn1zJa/Q7mtB4LsNVZShgIzg/iCPDGaOjwxC0rk2BiChi0qffv/SeNzZhTu\nx1JjpD6yBzk+jijowi0MZTxDkSMAKmJZj4AKgasX4NpGTKLENobU9DWczozj8+z9FHa/nS6RXaHg\ngpWLIEdZXEB4nR9CbRF4fQqD5nJqzYck/DKHc90exKd0OwOiU2HA57B9PmRukEIIcraATyx4R0ma\n7V8jbyecWgP1ZyWv1bcGgsoRdLW4zttLofcAohuPoogbChlrYcNCeOBH+HwSlJ+EVyrApSN5bmtp\nZuLphZgdvDD3fLNDe/RK2LdvH62trdhF9UWodsTJwwePNvEy+QYABh2c/FHSm9tJRFwmk3HPPfdc\n838AHDhwgIKCAqKjo6UHkuuEwWBg+fLluLu7d9B6g1RZX7duHb17925/2GhsbGTjxo0EBARw//33\nX/f/uRFUVFRw/PhxQBpS/CMBMcePH2fr1q20tLRQVFSEIAhMm3blQJGb+HMiLy8PNze39ocquVzO\nHXdcuRjyUbYNx6in6ZJ0J0NxpR5oda+m75ev4pRox4xhT9BHXIar+BMvDLgfTt/GnUUraRyl4dYV\n22iOdcLoKMctR4fMCjuOiPxS8x0VD4yhMMmfUhS8QBYv1n+Od0E6+efjWDz5KSyIjD1bSE1LFkln\ncgnQHCS0qIwWs4ag3EqevPcFjkV1Y6blFH28FIihUWxSVnB/xVGq5N54HV8BHo447z/Bon0nuePp\nbyg9sZId1eksu/NFbik7xQtv3c8Rj7404YqXYyhLlizBYDDg6urK3LlzeV4MJH3+XGrVv3L+OZcB\nb/SDpHHg5AVWE7w/Eh7bTZcuPQkNDe3wu7rWcDdAwYYNrBg9mtRnn2XQokXodDp+XrWMidWFKNwu\nzzm4EmQyGZ0VVagVN9CwWXo3ZG2AFwqkNMn/cfzWaecm/jy4LrItCMIQIA7YKIril795TQASgXmC\nIOwQRTHjn3+Yf27IUBHNcgR+fVO3IWKkhWPIccODy30tz2PCG2UHffXvwZeveZkSmqnkEDoewx+t\nYOKn+gL6nixnk38jm2ggGDW3404e5+nCtxQbJhBe0MKOeCU+ciXDLE58p7KiEKxo7QSyzYncq+zK\nbhRMxYv9j79IWWobGd4eFKZKhD2BTAaKu0hlLyeFZF7iOezRUUU+PemJFguFGPDnMA529ShiBVzz\n7yDfJ5rhuJFER62aEt+ORHvPB6B2gZ53X9pm21I0iR7YdG4MOl+G2mSgy4HvpBflKukmIFrB1Hrp\nnXZ/AIPm4uTmhVlmR1lhLq7acyjqvqQ5cydureWAKBFokGwA7/360nFsekny6NZWQ10xzNkGQUkQ\nPwK9wYTR0Ea9wY7vZf1xChnJQ1MfwF4+A+JHSPsPfwoqssG5Y+W0ubmZ4xlZDEy8jTaZhtOnT+Pm\n5nZNO7f4+HgEQUA2fDjZJSWkRkcz+EKl9cCBA4iieEk+svcjWPsk6OvZaIzh9OnTzJ49+7qcN9LS\n0khMTLwhog2gVqsZMWLEFZ1HGhsbKSsrIzg4uJ1sX0wB9fLywmw2o1AoEASBs2fPUlRUxMCBA6+a\nrni98PPzo3fv3ri6uv7hJMb4+Hi0Wi0JCQlkZ2d30D+eOXOGDRs2kJaWdrNV+2+GKIq0trb+7uCp\nVqtl1apV+Pn5MWvWrGtuu3HjRpybi5h6/l3qfviMLZNWs5O7+UvbZlTaczRs/QDdtqWo54Xit+oA\nz3qW8LfZ7zPQ/RiGKBOKJhtue3XIsCKzwungaE6uOYuqKIuFX72BTuOAEiOFKPDRHMKvsY6mRjcG\n6kyE5Ddz/GF5ewAAIABJREFU4lQprwdaeLnfJG5deRKnwjYax7lQoAvnta8WcjYihNce/YUPjFqa\ngluYu2I/9x38Gr29BzKjjbuiTNjK2mhxdue2UzV0TV9DcnUWXw2dRoZvKL8k3kJsvQVHz26YPaMI\nOJVL/cg7ucVP6hoNyK4id+kKvPv0uXRSCndL7ksVOfDEQSjPhPwdUgovtHfKTCZTe+enHCOHaWEc\nHsjPZ0udwwvD5F5xcYQMGoTOwwO9Xk9LSwsF5bVsHfglo8b8vrvP0aNH8dSoGZ7/phRGw2M0Nzez\na9cuevfuffUuVexQadbG6WZA1E38Z/G7mm1BENRANDAA0AMrRVFsvcq28aIo5vzTj/IP4j+pHazh\nG2r5FhMVKHAhgf0dXs+mlUnkMwlP/kYQh2jhMC08jN81yfcZDIwmF4C7z8NEl3SWOxWymZEsIom/\nU0EZko+mGoEeHOIWtrCx+U4Uv2g5fHsKCKDSGdHIZDTZy7AKcuxsYJSBHJiJDxnV3/Kwz1esF29l\ntSB5fgZRjlrUM0v4hEIxik95EB+hjSrs4cIxp5CODicaDBreLHOla3QqbF0ixaTPWA5KqdVooYlc\nbkUj9sPf/CIqQUR8RA0IWO00yHpOQXbbKzDfU2o5vtkEK+fAnvelEyFXgtWMVeEAdo7I/WKh+IBE\nvAF8OoG+HnS1aEMH0uDbndDDr0uvObjD9G/BKwKWPwgFuyCkO4xaKDmefDsT6s+0e3QzfAEkjIaI\nPrz99tt0qtiCe3R30o2+NDQ0MOfOMbj+PUkauFyQDqZWzpWV4uEf0mGYMX3/bip+fhvvtNn0GjiM\noqIiQkJCLskUDn0tHcudH4OyI0k8cuQIW7ZsaU8vBViyZAmiKF7yPG0sh53vwOB5bDmcRW5uLrNm\nzbomMSktLWXLli2MGjWqPSFTp9MhCMJV9xNFkczMTIKDg393cK+xsREXF5fL4ubr6ur4+OOPSUlJ\nIS0tjZUrV5Kfn8/9999/w4T/X42LaZsXcfLkSdavX4+joyPz58//Dx7Z1fG/qtnevXs3e/bsYdq0\nab/bKj948GB7mNCvIYoiO3bswMXFhe7GU+w+lI5LbSadbSepvNWT2QPep0oIZymRyDf/SOzP07HI\nlIhBscgqMqkd7k7VAG+sShkqk4nEJwqkzw2YBYFFrz5JQkUmg5b8wo4hY3j+zr+CACvOTcH2s4Lk\nrNOc8wggoP48AvD+LbPoXnGSlyY9RbWrL06GFtYtugOnthYE4GDiLaxPHkTaye3UO3iiLjBS3iUO\nd3Mxtx9cx3nPQIJrSnn5jieYfmgLXhV5PHHbIlyV0WzpF4reamb7wlvxbmtFMOnRBybQ/a9fMx53\nXiIEURQ58dlnRDqcxUWog8kfSicqZzN0GgyqC2uYqRVUDnxDDSfQM6/Sjo0fL2GKbTdud77Bk7GR\nbKCRrxvVdP9rZ0lG9/BmSF9BtV9vDmXkkZGRwaBBg0hNTaWpqQmNRvO7sjWdTscbb7yBt7c3s2PM\n4OoPXSe0/w4HDBjQHiaE2QgWg7SO38RN/JvxD2m2RVE0CILwENAMBAHTBEEYcSXC/Wci2v8saLVa\nli1bRnJyMn379r3u/SzUYqaaYF5ETeRlr/ugZBB6+pCPyCS+ooZ9aBmBK524elJcOGoewY/vDBVU\nbtxLbo90RiedxAkdS4DzuBKKiirMGBDZSy8OkILVRYFfQhUI4GQFnZMd9RfeM25HNklOrqzoEYgV\n2C00MdBnCMfJJEtIxB8VdZgpQyJj88U3UJituMvlNMkdARE/mxzPylweDXibeps3S9Wf4h4dTB7z\nCT39A+qSamnQUXmxwiBDhiNlJTV8t+J1/jL7QTQIWJUylEYtwt5PICgFRJuUlnXmsFShAFA6gLkV\nEZBZWhEtbeia61CrXVCo7EFbCdV5F7a1x9lQg7O7PbaoQQiFuxBaG+CDUZJ0RFcrbVeaLrmQHFwK\nJj2kPihVdSxtsPVV2PoqmR4DSQrow8CWrdRknGBf6FM8+uijUuV4xgrJMQWwvJiIS2MNGwd8zsSL\nbes1T5Jy4HOE1kasrSkIDLt86DJ9OeRtxzD4KcoNyg4kIaZTBPX13YmPvzRQNGPGjI4+3m6BMPoF\n2LyYtOTbSUtLY/PmzZSXlzN9+vQrVozr6urarQMDAwMRRZEPP/wQlUp11aj0srIy1q1bR1xcHBMn\nTsSsa+Lnbz/BNbo7gwZJ3Yu2tjYOHTpEcnIyMpmM5uZmNBpNO+lWqVTtft7r16+ntbX1H65o/6vw\n26n+5ORkSkpK/pQJl//LqKmpQalU4uPjc13nvs+vK7UX9l+xYgV9+/bl0KFDuLu60D3vcQaoHBAM\nWmwIuPzQwltHXmRp10cxnF1NbcUp4kQbVm8ZKp94tGITZo0ZO70R52wdJlclbcFq1GUGrDIZrVFq\nxjmv56wqGGdPkQkH1hJXmkO9hztdThWwd3gvPoq5H2dFI+N/3ICd2UhEUwW98tNJOFdIiXcoensH\nnAx65ECrSk2/zF241Z8n/nwBNkBn50RWdSNPTHuB1bfN5Zk17xFcU0pCejH7o1KJUMp5eMvHhLed\nY+jxKazq3wWf5lq+GjqdJO+ehPknMFZ0Y8bOFWQ2OeLZ+3aECB/EDc8jmmoRek2XBr4TR3c8oRdI\n906aOY6e2Wp/QlStuJVnkrt5KXGNM4joE08XjSskT4CARDi8DJY/QIFmIBmOAxnSLYbujTugLRFX\nQ7UUXCG3p6Wlhba2Nry9vS/7Hp2cnLjjjjukavqv5kK6dOmCk5NTx4eu94bB+SxYXCY5TP2b0dLS\ngr29/Z92LbuJ/xyu94rIEkXxAwBBEPyAycCX197lfwMXHRW0Wu0N7efPY/jyF2RceWjEmQpm8QwW\n6tATyd9IoAADnXDAbDazfvMmYsIjLvNFFhHRtrUSvCuLA3f14pgughH4EyUWsJi5zBPe5ixu7CCO\nZ84epcBVQaOrGkSQeUhP+6JcBtiQieBkEump/46QeBMqYTFG0Y480Yid4EhUWwppCpEuymCe5CwC\nAs2ChTbAolIQzy7qcOc0CQhmG7ec2QYB4GppYqHqRd7QDuUO1V7E2ZHEtu3v4E+twJl4tpK3/zki\nHM3oz89BO8wPU509XuYmNHlaZGG9JKs9ow5e74PV0Qs5gGsA1BYBIhaFAwpLK7a6Mt4PfYZ5EQ2w\n/e+XzpfFhFB1Gja/hMzBHRCh01DJM7tGqkjhFiRV3b+8U6reAOz7GJ2DH06tlViQ0ybYk1i/G2vT\nIVA5YLzjU+4I7nbppm/vAt/cB9O+QiaAvWCmobqckpISyU7P0IIgilj7PYA+qBfO8zSQPB7GvQa5\n26D7ndIxNJ1n6/ECTp06xdSpUwkPD6eM52h02cqQkT+j4lIl+dcBOu0o2gdbXoam8zDtK/Ly8tBq\ntZw4ceKKMfHdunUjKiqqXQYiCAJxcXFX1oRfQEtLCzKZrH3AUfhuJuMyfmSj7BW4QLZzc3PZt28f\noigSERHB119/Tb9+/Rg8WLLOslqtzJ49G0EQeP311xEEAblc/l9jV3Uxne7fAZPJRGVl5WWeyf/f\nsHTpUmw2G08//fQf2t9oNKLVagnY/SIPuShpHvU6hv6RqO3sYO1TWAJTcDn4Cc5nT9HVuose576i\nMbAbFmcNCn0r5Z2P0HCvPYdrH+O+xU+D3EzO6+EYAu2IX1iMYLNhX2JAudtCQVgMiNsRRJHO5/I5\n38UTrcmREK9SSLLh6Kjjld7zqCkKZsknf2ODTxo/dR8GosjknStpdHDGoHIkoPE8IhBZXUyO0Z04\nuwacjTr6nD7AmGMbKI5KQVVfiihXke/QjXDvniTs+gyVaMYiyCgNtPLohg+o9InkUFRXDubJ6H/2\nDC9rfOCHp9EL9uxqNpFSshxXQyW6vo8gfjQRjf48PJ/fXkCoLyxEJpfjFh7Ou4TTjIVANzui//oZ\n1opHWfPlj9gfzuCO4BhUgWo4vRVOrIYnDlOZeA+lZRYe136C07nukLkesMLmlzjlmIJ50oecOHGC\nmpoa5s95EPt3BkBEX7j7s/bv7kphZDKZ7PKCRXA3SV6ovPaw5r8CjY2NvP/++8TGxjJhwoRrbqvX\n6/nxxx9JSkrqMCD//xVGo5H09HQSExP/cBjanx3XS7aNF/8QRbFSEIQbY57/xfDw8ODJJ5/8Q0+q\nVyPaAK2cxkIdTvTAgUScUBFwYfsvjeW8e2sg/bIruIsg7JHxGdXYgCWE8JW6GUYkILOKoLdnhekO\nRqq2oseJVhxwQ8ZiysnwVmGwV0oOGgic95Ds5O6yunPqw08oi/ChamQ/vh39PG8L81CLbRgFNe7U\n01yVyW0en2AwKZmmiJciNAEHEUYKGxnHGhwwUI0Xj4lvUmEnY2nPu5FZzbQo3Bls2sIbC3+k3jsc\n76d3SlWG09skLfOQx6STcO4knQ69RKe44RyNr0DR2QVFCTi/2YDQaYQ0sDjhLcj8CbI20Naqwwmk\ngUWZDMFmRWmTpB7Ooo4HzOtgTxYAVrk9MmvbJVmJaAODFEgg5m3HqnS4dPH3nAo2KzZTGwIiCDIQ\nbTQbbMjVXqgNdTiKOkwKR5o9E6g2CLTVNtJd3Aa/7IRJ70NVLpSfgvpSZEFJ2HT1TMp9gSpPA4Q9\nA3d+BFM+ZM0PP2BYtYypJj0U7YeNL8C+jyWpTNI4sHOka4yIXC5vd/dQ4IESL2RccsWor6/n+PHj\nuLu7Ex8fT319PQqFAufgvuz1vwd712EMACZNmsThw4eJiYkBJOJmNps7SER+u7hdDF266nV9wXrr\nomWeIvFWrOZW0iZfshZMSEhAFEViY2MxGo0EBAS0D+6Ulpby1Vdf0bt3b4YNG8ZDDz2ETCbrILn5\nTyEvL4/c3FxGjhzZ7sUM0s1g3bp1REdH/+5Q6x+FwWAgPT2dLl26dPhOtm/fTnp6Onfddddlkoj/\nT+jfv/91JbJeDUFBQSxYsADFc2G0tLSw1rwWnU5H7J230fPpA/ga4UBJHY6+YYRHe9G0XsP5GFeC\ny0ScC634/FSKGW+2h7kSF5mEotGGQ0sTMp0Fs0yO0mZFUAl87DyT0Vu3otRbMWnkyFpFaoZ5UCMX\ncDmhJeL7EjKmxjNOtR79YSdcTPWMqt7CutO3khvcCQ99I576Jg4GRuOpq8XObEJhtRLgamZXRCpJ\nJZkolEoWfP82rSo1DY4uyKwmXAMKicv6hTalGpXJjEK0EX82i7Cas8yZ9Xdi6z0I137H90NmEp6V\nTrRHIp71mSDsJGf0TFQlp1EdW46jvp78wJHYPniAbM9bmPjI3/i0WzcEpZJJ29bg+91EKpxS8Prr\nWuzs7DhvccJitdHW1saXX37JggULEAISUZSmIzi44ufry4QAB9RbVkJgEnQaAoljMBQe5GyjF4GC\nQNeuXamtrUWtUkFrI81VZaz7+msmTpx4Y+vChDdpamqiqrD4n2IXeiOwt7cnJCTkmjM4F9Hc3ExJ\nSQnATbINnD59mh07dmAwGDo4SP0v4XoZ5AJBEJKAE8BJoH3FEwTBRxTF6n/Fwf1ZcK0q3x+FGyOw\nIxh7YrDQAGiQYc8p9HzqpEUUZexP8OIYJbRhQ4aVMKpREMJnQjh/pwKrIoNir0g0tLCJUWxiFAAm\nbOxEC/YqFBYrFoUMBPC2VCJmadmkPke3Vz6l7LP/Y++846Oq8vf/vvdOT++9AYEQSijSBASkShEV\nQRRFdGVlVaxrWcta1t21rnVRV7HSFCyIFOlFuqEmIZSQBEhvkzZ97vn9cSeTRFCw7Pe37vq8XryY\n3HLumTsz537O5zyf53kUAI+k5wGeo1kKAgF/4m9ExNSw6rlIiq+cCJ0lJKeLgJMlhO/LR1wHQpJZ\nLK7hOOm08LXjKiCn+Wbyu0QRqRtIeubjREcOR8GX/V3+MJzK5oilO10GjkIOT4ExD0JkB45Z99Eh\ndA9hDVeB9zEoOQS7F8DC2TQFJhEISPFe7A4FT2QAcoHA0e9aIvZ9oE0mhBdzZS5ICvb+N3H8wB56\neHPbsd+F140ESAh07lb1FPZ/Cmv+ht0UhQVwBsRgtNcQixXZ4dTakGQMnmbkyqNkqlakr3e1tAoX\nTdcmEBdN1/iEWZejO7ySkHkTCfnmcbwXXYKkupG/+BOZWXMpTUhBDbwI+bJHYN0LeNJ7IXcZjLx3\nMWz5J0klhzDetZe33nqL4cOHk5V1N/G0p3QUrplPWPZS1gWNpqamhr1792I2m7n11ls5aMikq6Td\n8/j4eC0LW5wNnkgWLN9ARUUF9957b7tg8scgMzOTzMzM1g2DbkQZ1F6pQ6/X07dvX0CzOG+rPBIa\nGkpKSoqfI/5z6Rg2mw2Hw/GLOCzm5OSQm5vLgAED2kkZNjU1cfToUSRJ+rcF23l5eWzcuBGXy+Vf\nAQAtq2e32//nVQa+T+Lyx0Cv18Njhzj0zTdkGCzsP5LHUx08pFPIQm8yiXUHiKzbgrkqAeyNdNuw\nAQlw6I2Yqp10nF/Cx9IsdELFadBRYEvGYPWgV714dRIFdyVz87cfoAx3I/aD3CxQJRnlVZnCbilM\nXr6GM+FxqF/oyMw+jqHOgxcQsoyi9xLrKscaGsuJlN68dvkfOJjag3Gfvs8Lm+YRam8kKKSBf075\nPTV9b+LFPw/HXF+JyaDVd1yevZ6YmjMAuCUZvVDpUZTDjHvnsz+9N7NfvYeeR7YQ2VRFh9LTRDaU\nkRPWlYl7VpFjCGXEjPvpk9WNy97+F/WRgcw+sAqDqxEPj5F5+UB0tmJ2blzDtfYqejg3o6qa+Fh0\ndDS94uNxvv4AAy+J5rXyS1kz4SH+VB3IpUKFtc9h6jpaq7sxtXpJmG54kys+uBH0pZDVxrTq7yW8\n/9prWIuK2L17NyNGjLigz7ampoaFCxei1+uprKxsZyKGoxH2LYU+0/5t9BKTyXRByk+gjcvR0dEU\nFhZSX19/fhOg/3J069YNh8NxTofj/xZcaLD9AbAXGAhMAXpLknQ/sB2IAi7sG3YeSJIUDnwMpABF\nwDQhhPUcxxUBDYAXcAshzl4f/xXAQjfcVPE4bxBFOPcwlx00YEcFCVIxUIgLEKhCocIdzmDlMCgS\n04iglEpkVMqkOC3gVAUosjYV0qJKPHoFhKCf2M3dulfJXVzJt+sicexdTnmCNkgLZBwthjoSbBHD\nCaWOxQ/MRO8V6JsdyNYGHLERpH70FQcDp7J68tstMTamMxVcvu41hgUGMOLqj+HLxyjrVcax2QrJ\njEFmDVbWknzDa2Sv+pLV63ZybWQqnVffDse3QEJPrl+UDU8epygY9vWoJi5/GYpdJXrUfZz8Zj1d\nwstQ3ILCOck4Ek10fraQ8N1vInRmpBve1SghF98Mjgb0Xz1FpusIEq23wotW/OlBRkalpVxPANQU\nYVOCMDg01RVjUxkSICsGbAHxmHBjj++D+fhaItQ6hCQjmUNBUiB9KNSXweLbNQ54/xkaXabHBKRr\n5yFWPM7ipZ+R4ChkRNVuug2fS7fCtzSu+N5FiLLDOOLd1LgfJuXd+Zq0oM6EOLmdriWraGrQArvi\n4mKWL1/OpBGDSPvy9/SpKUS21+PpPZVaj4f+/fsTERGBXq/nlltuaW/U0lSDeG4AIr4HKQNfwGKx\n/FsmkBeKkJAQZs2adc59LpeL3NxcMjMzL3gysHjxYsrKyrj33nt/cna8oaGB3bt3M2zYMAYNGnSW\nZnhERAS333779zrP/RLo3r07bre7HS8fIC0t7YKdPf8bUVZWxvvvv8+IESN+0O0zOzubvXv3MnTo\n0LPuYQscFFIS8AK6sTfyoNAzubKefXdeTNHo29GnjCCxYxfkgm+QzhzEqZgxeu0I4PHpD/Hkor9h\n8rpxyTryktJJqDpD+tPFCCQ8koy1ZwDGchf1rhC6LtYcYmVVRYdK14KjxFVUcDoigZi6ci62NtOS\npFcAl6QwJX0ZqUeLiVpez6y738TsdPDMe4+iK61hf1p3OpkLMF1uY2bOApyfualySEQDr0y6nWSh\nMH6dxuwUgE6ouGUdLlmhb50b2+kGwntMwVpRyFfx4xmj5hPV+AmNUYFQBxkH1jKk52A8cgDTbPs4\nVq49dr0xemaWfck7IduxBNlwOtciDbwRU2gC7y5ahCzLhISEsN5ewqypSSSXHGb4l4/ywZwXCVdV\nWPsM3t5TOeUwUrBtJ527ZLTq61cXwsmdcCq7fbAty0yZMoXs7OwfVSfldDrx1p5mkv4QZd2m4PF4\nWndufQM+fxBs1taV1XNhx3uw+0OY8Q4s+B10nwBj7r/gPvwYjB07loqKiv/5QBu0Gp5fYjL9n4wL\nCraFEH/xvVzTsk2SpI7AAGD2L9ifh4B1QojnJEl60Pf3Q+fqEjBcCFH7C177R8Pr9f5sJyuVAFYy\nngi83ANsRWPoyIAbLXOgR2aGO4z3DZqTmB6JJdQAQwEBAhQVvC2KD9+lvUoS++jDN+rFlHW24jhY\ngnXr53DttYSiYMVLMAp1PoOWr6QJTBQrSSef40oXCDBphSySxNbVr/spJQiQhMCREM3o60ux6Jyo\njhrktc8SczidgEffIYiBFPMgVtYQEzWDTOcRPBFpmEwm3F3HobeEwaV3QeVxKDlE8r+mUGvqRby7\nBPve+Ugz/0XP9S+iOkEWEHEkDIcjCF19FRIOhMcOH92M46kN6F4dilxVhq514cV/K1qCax2qf6//\nKI8Tj2TA1HK8YgSvE49AK9aUVAKPf41HMYPXjiRUsPm+en2nwdrnNAqJUMFWB2Me4PBrv8eiNpN2\n00IcO4rZWhJCeWY/rg2N1wLtoCi46Fq8M56nUv9XQuUJ0KMSDq8AVzNRm/7OmMYTEP84eXl5HDx4\nkLq6Oux1lVBxFNnrwaUPYtsZF/aT39KrVy/69u3LokWLOHHiBKNHj2bzhnVcd/lYzNEpnDD1Rx+Y\n1S5j+p+GsrIysrOzyc7OxmazXfCDNjMzk4iIiHYyf9XV1djt9vMu6drtdr788kt0Oh05OTkEBASc\nVVjXgp/rNOnxeFBVFYPBQE1NDcuXL2fIkCF++UCDwcCAAQN+1jX+GyFJkv/fDyEvL4+Kigo2bNjg\nD7Zzc3NZuXIl11xzDSkpKTRzgAY2UZgjEZn+OwZk9kLZE0za3hXov36ZWXe/y7OVucQ4GjB67aho\nY8fFB3bRbDDz1ykPURCdwrGkDHY8Pgyd8PoHkhmT3qdnUR6P7XgGs9OlFXADy4ePZeKWtUQ21rKv\nQ0/i6sqpHRBC+LcNNBtMBLgcfD1yGHmurly0/iBhzQ189OItBDhtKEIgAGtAMNWXh9Dp5VOAwFz2\nMqpPOLVn4SHK4juRUHMGh06H0eNBAg4kdyO+oZK7378N89ibiFr3EUaviysDM4iaMovJiQ9z/ZIn\nuejkQfRN1dy37HnC7Dbqs64lMm8VAomS9EE89e5DWFQbQmdEX1PAqWkf4pQM2L/+2m8UFFC9lP5H\nDuMyh9AjeTAbdD2JWjsOjm1ElnSkCQ9rKy0UFl3E7Nm+kCFzDDxdCCGJ8NEtWkHlpXfS2NjIkiVL\nSEpKoqampnVFR1Xh28XQ6ZKzXHpramoICwtj7qgMdAtfQARG8d57ZVxzzTUanaT/DE22sJ+mrHXi\nxAn27NnDxIkT29PoCnfC8a1QdRwKd7WrM/ql8VNNu37DrxM/uWRWCFEAFEiSdOYX7M/laBKDoGXT\nN3PuYBvODil/cVjZQCkvkMrzZxnSWK1W3njjDbKysmhubqa8vJw5c+a0yxgKPEjfucVbtmyhtraW\nK664AkmSMGLhE7qzmCpGketn5arAGTzMJIIIDLxuKPOlaSW6YCIPO8GuBh7X/5mDUhbvK99x1BKi\nNSgGvOh5g9tI7nSIgetuJlytIWu6i1opk5X08wfaAB1ECddKS/ijeL41O+xya4WVOh0Iga7JiSfQ\nhOJwoRoNuPRGTMLNsdPlZNy/A9kSRrBPhSWJx4nmd1iq3ZC3nFBjV957L5SMjAym3HQXhYWFdBww\nCPnJDCQkktIz4fABzI5aiEhDjcnAVVlEkzma6M/2aW9PgqKxiUQcqyGo0A6vT0JX1dgmzNb67ZGN\n6FWn/8vSkunW7omMgooEBIvG1hO9WomCXnWBjxPuQofBa29/jwOjYdk9OMM7oVgi0ZkDobECsfFV\nehQs0o55fye3WMKxxfbEfe2/IDAAJv1FkyX811XoZn1Eh5JQkHfhHHAz+cVVZDXswltzirxed9Ex\nNotlL76IEIIxY8aQOWgQ9K+ALx7GsOV1utkOY7l0Dnl5eezatYuUlBROnjxJfn4+l1lXkPzmU7gf\n2EvJwHvo0qULdXV1rFq1isGDB/+fuYxt2bKFU6dOMX369B/MqC9dupS6ujoGDhx4XpOMtjhXRmTJ\nkiXU1tby4IMP/mCGvL6+nvz8fDIzM7n88su/NyP6S+Ddd9+loaGBe+65h9raWk6fPk1paelvWt3n\nQWxsbKu85Q9g2rRpHDhwgOzsbF599VVSUlJISUnB6XT6s5zhXEFjZRAnPv+Gh/pVMG7QRaB6kK3F\n1FlCGJKzhZiqYryWcGRbLV5Zwa7omHz4a05HxPPZoMkMPLqH3fcORRECR4QOY43W9nNBDyFFQJCz\nGVWALIFD0ZE69CTSVi0p0rvwMMdjOxC3sAQAs8vJtsxB/H3UQ9y1dB7huQ2Uh0TiMSoYZDdVWUFE\nbaolLymTE2VpzCxbTF14InWhLoxuF+HNVqbuWkG9JRQBmHzvUwD9ig76Xkv8Yc18AKyBsdg7mkiM\nT+B5dwAZ33yOJFTclnBcOiMhTaexD76JE9UOwks+Z/jKl1ADoqDfdUij7uOVhV/SuOtjPrvqMq6M\nC+XPUzRPhB6WuaiHP0dvr6c5ZRRRBXtA0WkrdR4nJUMepmfqBNJCdXBsM3Qern1oEalwZD1ix3yk\nwEi4VLOLF0KQn59PZWVlq1nW0Y2aSU3/GXDV8xCiBeGNjY3MmzePpKQkZt1wIwRForOkk7HvcGug\nHprAf57PAAAgAElEQVQAVz7j/66cPHmS48ePU1VV1T7YvuZ1uOwxLZj/22kw/XcW6/2G/3ucN9iW\nJMkIBAkhqs+1Xwixtc2xyUKIUz+jP2353xXA9/kpC2C9JEle4C0hxNvfc9zPgptynJzC7RfJa4Wi\nKAQEBGCxWGhqajqrcMdNJUeYRChjSeYp//b8/HxqamqYMGGCX1+5C2Z0SDTiJVzT2yBASDRLgj00\nk99yfQl0KuS561GNBoxuLwa9C4Nw+SPImPV7GHDDo2xZ9Sr1vTNAgKnJgctiJEbSE9C7J5u2zycg\nHv7CC+RzmpX080ehFi84y4J4LfEOGqRgBBKKCmN7TGNV/me0dMRkMdEMxDd5eKgkkP2Jf8HzxWri\n1YNkzJgBeWuxrZhKyYx0ouSHcelzKUx4j9DbPuDMSROZLomuXbuya9cuNmzYwPjx4+nXdQxSbFei\nrnkWjAKXkNCt+RvO3tMxff0UJvtp/310xBiouyIIT66E+V91KJZkBLmoigHZ60KSdaixXTlZ7SCW\nOkJc1S230J+taslytw3AW9DyadowYcSBAd9DTDYghBcptitS5QnwOpHqq9DhQXidSNve8k1QJER4\nCnJtETRWYqnIh8TucPpbzdEMSaOhVBVoZj5CYHTbcQRogWOVKQFj3kqaFliZPGAc1SdzGbB8Krge\nBkMg7F1IkakjBZYMrs1Ip2LDu9RWJTB85Bj27t1LXFwcvTrdArs/whCewFR5Ic2rX+cl5wi8QiIh\nIYHUQKG5aGZo2e7S0lLKy8vp06fPeX4Zrairq6Ouru4HMzRnzpzh1KlTuFwusrOzCQsL8xdsgsa5\nbmpqYuTIkTQ2NjJw4EA++OADbDYbc+bM+cGM5o4dO9i5cyezZs1ql3lu0fE9HxUlNjaW2267jZCQ\nkH+7LXtsbCyBgYF+FYU777yT0NDQ85/4Gy4IRqORzMxMNmzYgBCCiooKJk+eTFZWlv87JCGRGj2K\nu+8eoBUJr35aK5yOSCOo9hRDyopRh89F3vyaxsRTBAFubfKdWFPKsr9fR2pFEYoQqIBX0shp9lgD\nGX8vomhKHKok41EUDF43ktND138U4GMGghB0LiugKjiCQBzICMpDonj3lTlEWKsQQGx9NTWpydSn\nBRKztgZ7nJHB+buoNYUy/9KZWEc9wISP5tLx2Da2dB9CauUpYmrLcSs6JNWLTgg/bU4CpPgeENsV\nd0MZoSe2Urf9bfa991c+mjqN14QKxiC8AbGcaoinMwWYLQEEjrmLPR+XcCYziwJ3IJMH3ETneeO4\n3elAf6oWfbyNccLAvm/Ws3HnPu6yL0RvCEC4nSybOIrr7hmN4fhamPgUUt+pJMRmkADw3MVa9rjX\nVRp/+v3rqY/tg0MXg9z/90QBQUFB3H///ezatat9INxxMIx/DL79GB6K12iDN8zHYrHQvXt3TZ9f\n0UHWZJKB5HRfXcnGV2HVk3D3JkjUihEvvfRSsrKyzjbD0Rm0QLtwt+YEPPUlrXD9N/yGn4nzmtoA\nSJI0EQgGPhdC2M+xPwyYChwRQmw7T1vrgNhz7HoE+EAIEdbm2FohxFlVT5IkxflUUaKAdcDcc133\nlzBXcFOPlhf+ccVXbmo5znWEMIYEWjlidrsdt9t9lgLEEWx8RS2ZmHlCnEYqLiGqoh7PgJ6cxk0o\nMlZUpCYbxup6utrhxlNu3tXVcmhkLxCCaIegxmMnduO3lEwehgTMpyOzKcALGJHwoA3ERrubJHMR\nNURQ1/LehEASoNi0rHVbdJj3MSVXXIozXltWS0BPJ8x0UI18LNewjC5QVE5ERITGa93wEkUBz1M3\nMJTctb1I6xhHQMf1dGYJFlplnKqqqti+fTs6nY6jR48ye8YUgp/rjaqqSM4GhI9j7UZGf+XfYeVT\nmg62rKd2SCyWoxWY5E5QlkdjQCIBzaXakrMQmnvYka/P+fm0fCtaed06BB6cxnAKiSbDmd+O890C\nFRkJFVdADMbminbtSZ1HwrEN2t+KAcnrandNjyEInaux3TbMITB8LrbmZvS2SiRzCFLhTrzpI1C+\neQNZZ0ByNmuKKTvf087pPAKObaLWFM/+y95lpJwDn/4REZbEpuAx9KzeQOSUJ6Bt0eILQ/CeOcxL\nUfdw8YgxDBgwAOXlEZpU4FMFENWB999/n+LiYm677bZzywqeAy89+1ea7Q7m3HEXkZGR5zzG7Xbj\ncrn8Mn+RkZHcfvvt/v0LFizg5MmTzJ0712+S8+GHH2Kz2bj11lt/MNjevHkzO3bsYPbs2Rfc5xYU\nFhayZMkSJk2a9P+lMCc3N5empqZ/C3Xkv9XU5kLgdDrZuHEjgYGBeDwejh49yo033ojZbEZVVWRZ\nRgjBu19+yoCjf6V74QFWPraVl/RWvnrudxiaqlpKXoD2Y0XLRL3tuOBS9LgCdQTW21FlkFXwShJK\nm3twMLErPc4cQejAnmRGtnswl2sF29926MlFJw/52/QgsbXHUIYWbgcvyA4vAkWjrACP3fkutgo3\nw05+QefSE6RVFLOtyyBG5m7xrebpkQFFdfvHsBY0WEI40nEcAw9/jAcJJBlFeMEYyKbLlpCekcne\nhc8zpmwRFmHnian3s7bf5czbWUavZVciIfCGJHLkjIceQeWcSLqKJd4sHnR+iL6pCpwN2D16jJGx\nyB47NFXDUyc0A7GyI/CX7lq22G6FvtMhewmqzsyLSU9gCQigV1osg8dPOftDtdfD6QPQeRg83QtR\ncggJgeexXHTxmSxdupSGhgZuvqQz0ltXwLTXoP912rnrX4QvH4MOg+Ca1yAu8+z2v4uc1TBvAlz7\nBgy99fzHt6DuDLwzTfNpGDgTt9tNTk4OGRkZmM3mC2/nN/wq8bNMbQCEEF/59LXvkSQpGjABerS6\nMxtwBnhbCFF/AW2N/oGOVkiSFCuEKPddr/J72ijz/V8lSdLnQH/gnEH+E0884X89fPjwVqepC0Q1\nCynnn3TifYLod8Hn6Qkns5Xi7ofZbD7nj+5jqvmEGp4mmWYEpMZjT4jGixsFqPfxt0WAGUeghQJk\ndjzyIKGOJhjxCkgSNtWDNyiA9JcXoPTuzhWJmXhlSMdEDHqSMLEAzcTFZVQ4QbqPbuLrhCQhJPAE\ntA+0g5A4eds1hKMwkiBi0XMD0Rzduot5nhLMwzJRFIkkHy3BZrNhHH4neE6C2Ii9ohMnEifyT67j\nUWJoUwqDXq+na9euFBUV4fV6kSuOQGAkQjEgl+fRENeH4LJvkZDYRToDr39b08NW3YRvPaNx8A5+\nAbKeoOYz2GQLpqhkpIp8OLYZr6RHEW7t3gEuZAw+6kj7gFvjORqctWRQ6z+O7xznQUaPenagDQhf\noO1Eh0H1IlnCNA6375hGj0zbPKYE2kNk9dNYgApzCjH2YgCUMwfgns2w/V9wcLmmm93S62Ob8SBj\nctYx7PDfKbj4QTqmD0c6vpkY8glvLobSw60X8nogPAUlYxR/nPiEts3jglH3QcchEKHpN48ePZqy\nsrL2QavHpSnDpFzEWVBVZp95gWbJTEjIn8/e3+YzbqGPXHfddWepj3Tr1o3AwEDKy8tRFIX9+/fT\nsWPHC+JsDx8+nGHDhv1ofe7a2lpsNhuqqv4sObmfg/Xr11NfX0+fPn1+UsHq5s2bOXDgADfffDP7\n9u1j8+bNv3wnfyJ+7rj7XSxfvpzq6mpmzZp13joZnU7Hvn37CAoKIjk5mbq6On/Qs2bNGmbOnImq\nquSdLmbpzMe5rq6ZLvG9ePmFYRhstZQqcSR4y9oFqRLglhVk1evfviejF/3zDyB5PQTUu7XtKngA\nnRBUB4UT2ajVdqTWlONRdLgjZAIL7Qipddjtc/IQTlmHUfUggP0detKj8DC6Ji/LBl1Bp5IT9D6V\nQ6PRQpDTxl3v3ktocwOSEChonO7huVv97elVbbxTgUOp3eldlIMATiR2Qw4IYUDOUgAUNBUnuyUU\nMfwOLh01Fg5/ReLpNzUJVOCJJX/lT5uW4taFIyNo6H41wTnLSDCZUVWIGTiZR0bcgLQlAr74E8g6\nzAYVGsshqTcMvkWjing9EBxDSVAGpRF96Df5ZugyAnQG5N0fMt58AqlgB5k5uVB3K8x4s/2Huuw+\n2DEf7lwHjx7g28UvUb1/Hd++s4zLJ0+mqamJxsZGhMeJ5GzSXCRbMPJe7RP89D68RzagfF+wLYTG\n6w6MgO6XwctNre6ZF4r6Mi0rntIPBs7k0KFDfPXVV1it1gtWVfkNvx5s3rz5gsfdC+Zs+wLcv/3E\nPl0ovgRuBJ71/f/Fdw+QJMkCKEKIRkmSAoAxwJPf12DbQf/HQgiBSUrDTGf0nDtr93OxHisLqeJ+\n4ulPEGNECC80HMMSUsMl+p2sYCLNmIhGR6XwaDxsIdDlHGftM3OoT0/mKjWEz6R6bGY9+hor1dNG\ncyo5gldFBYqoQC/ZqSOYrliwoM2OhL+YUhuiw5DpTaAmGSjB5XyOFx1rGcvLdOVuCrmKCO4lgd27\nd/PZvhUkJiYysKCCGT1GERWlLddbrVZef/11+iUGMObwQoIGXsfeo+U0Jp7Gm9nJ92jwYdu/2J1T\nyq5KidmzZzN27Fh4uidUnaBg5lp2frWIIcMmYt70OMsdXak4VsLA39+MNywFr7UUg3BrnMDr3gKP\ng7oD69hW4iE9LpGMiqNIgCLceBUjwutBwYsBlUJTRzo4C0Go7TJUbkmP3heYG32BNrQJpgE9bSrc\nfdCCcO3H5JQMIOuRvc3gdqL6uJ8SoOrMVEjBVEmhdJIr0emN6OtP+e9ItL3Yb0MvEPDSMF8JlNCM\nb/QBqHoDkq0OyRCIIaojDRVn8Hx8NyVTnyFBgm7Ht0ByHwqtHna9/w5XXXsDRmc9ZH+iOXAGRECX\nkfBsPwiIhDtWgazgaqhBlObS9yJtLtzU1MSePXsYXLMa48YX4NbPodcV2uTA64bASBwuF47IzoTE\nJF9wsPhdE4qmpibq6+spKCjg4MGDfmMbo9F4wQWSkiTR1NSEy+U6r/zfpk2bKCsro6CggKioKB55\n5JELusa/A1OnTsXhcPxkZRiHw4Hdbsfr9Z4V0D755PcOif8n+Knjrqqq1NbWnrVKYrVasVqtFzQx\nUhSFOXPmaLrzwcFMmDABvV6PwWDwu/slJCSQKgyMbPonqSldafaMoyIgCClzOBaRiO3Ip9TpA0lw\nliMBTQYTRrcbp96Eye1ABjqXHacmNZiIooa2AlAICWz6IHZkDGTS3lXatgCF0qA4UitOk9chnZRT\nxRhUL3rViwwYVY8/a97vZAvXGi47uo8mVQvki6KT6X46n/AmKzJwOLIbPapzqQiORO/1ENHsUxDx\ntaMAhTFpZFScwmRv4HPXeO6rfgdJqBzKGEyP/O1IQLXZQvKqp1H3foysepB8o7QEqLIOc8UxzKYg\nGPcwyqh7WHhiHOM2fYQo2s/ebSvo3HEIidvfAWcjDJgJ017RMryvjYPmOryPdoS60xwa/zarA6di\n1ofQr8sIGrd9SPmJ46RJBuyF++hjPwJA86E1GLMj8FzzT0wDpmtOvtYSzXzsravg8Tw6jJlJsT4J\n/YkT6Dw2ZvWLQXSdiWyrhT+sgNQ2AmXzJiGK9vJp3Gxqjirceun3fHFWPw1fPQF3b9Qy6D820AZI\n7adxvYM0J8yMjAyqq6vp1avXj2/rN/zH48eMuz+6QFKSpAeFEM+2+TsJ+CuwSAhxdir3x+EZ4BNJ\nkn6HT/rPd414tMz5BDQKyme+TJYOWCiEWPszr3sWcnNz+fTTT5k2bRoZGZ//0s37kU0Tu2nCzgNk\noEMWL5F8tII+/TYwWtpAAcnspT9VeNBJWlAXVllPbY+OWIpKCSws4/M0ia6vLsZcWEqPw+sZsS6G\nL1QdK+TLud71IaP0G3hfuom3GMVrpHEHhYTY3ITnnKawXweMEnTGzF3E0YCXb2lmBZO5k1fZh5dB\nBLObLH+fi4qKqKyspL6+niFDhrTLhJpMJkJDQ7FaK0H1EqzqmV0zD/vuPO4Y8U3rG68qgEW3MiSm\nJ3t1U9m2bRvXXNwZW8oQzCWH6bRgAoejb0AkZHFo4vvkrVwJNTU0Or3Y7trN22+/zSWZCVwy+QaN\np3fiG4SyhUl1n+C26nGjYPA6tUDW60GH1/8ASXMU+F87dEEYPY1I4A+0v4v2NBJom1drefS3bHML\nGYukLfcKtw3JbfMfG+EqRwBR+moUh913ruxr1Xcdr9v/WviuoAbF0GQIJ7jmCMLr1nj0rkYoPUyY\n8BIOiAVtHA1PZZN2KptUwB5yGg4t05RSkGDVX+DT+zS+eN0pregovhs1r15FQslWilzLSZPrqD20\nnW3lCUR2T6Znj0lalgrg+Yu17M1zFRw7dozPGc/AtIGMPeedOz9WrlxJfn4+oJnruN1upk+f3s50\n50Lw4YcfUldXxwMPPPCDwWthYSHl5eX06NHjnNbQ/5f4rrzgj8W4ceMYO3bsr8Z180KwdetWtmzZ\nwvTp09vx+m+44QaEEBes/tSWv9/yfcjKyiIrSxvH9u7dS2NjA5FxDQhjIbovFzLy0FYq+lzFE8GD\nubd4O6bBTRQkJZKyqJRAmwOX3oTF7fD/5kPrmxH1rZNxV7BCxaXh1PcLwVDpYtIrq/x9CKmuJhSw\nhRvIPHkcAdSaQwm3W/2qJTKtde0tbQbUniIAcCt6NvW4hI4VxZhdGpOzW3UuALEN1dSbgvznKEBF\naDThzQ1csXsFMlCX1Jc7q95DttchwB9oA8RXl5IbkEp6zSkMPqqKUMGFHiNaoC85GlHX/I1NH37N\noXsnct3RLQBcWr4M5xt7YM4yGubPorKykY6fPYAUnoSoL4Ftb6H4LtRj1a2EGJLI6a45/Oo3vkh6\nzSFUJPrasxFBsdBYzjFXKFmO02xavYLLBkzXpPjyfKFFRCogERESxNWVH0LpOlhgAEcDUsfBUFus\nBfoZo+Cudb6bHwdhCajJg4kL9rFUc1bBpldhxtutyiZR6RrFJNjH4353BrgdcOunF/Sd8yO09Xe9\na9cu9uzZ85txDVp9T3Fxcbsaiv8l/BQ1kghJklYC9wsh8oD7gKeBCxfE/B74pPzOsg8SQpSC5tgi\nhDgJ/NuniXq9HrPZ/IvoETdzkEZ2EcPvzlInuZcEItFhFXkgdCR6PIzvO5A3CaKQDuyjDzp8mVOP\nwKOTqI8JJSK/mOglq6kb0AORFEeHlxdhLqvi4IGn6St9SbMUyJClbzNm6jc4MFBLOAJIQk83zORa\noL5fGkjQi0BOcpL5fEoVl9GPAPbSxBvM4feknvV+pkyZwq5du9i+fTsbNmygb9++fmqMyWQiJiaG\nvLwaKh86Rkx4KHhsWNKHtWujwRjF5tArUKJ6EmOI0TKSb16Bue4MNkwEqA6mdDZCp06s//htbq96\njYLkCezcuZOhsSr3z5mJISKpVXHl8wcJP7kD9BZEaBLWPrOI+fpPPo1tLT/cwrW0XXIXpq2vIaNi\n8nyHQ037TDZtXn83OG67r2XoCMDBOZLf7Y5R3PY229V2+x1DboM9izC5tCyVTTJhbqwgEI22oqiu\n1rUB4T1bkkcfAO5m1KBYcDZjWfu01t/AKM32PjRBkx60BIHHgaf8KHg8yF1HY63KxyALWPFnkqxn\nmHTDJrr0GQDGua3tdx0DDRWg6MnMzMTj8fwsNY3evXtTX1+PqqrMmjULg8GA1Wq9IIOa4uJiTp48\nySWXXELPnj2xWq3ndXq9/vrrcblcfipLQUEBXq/3J78HIQSFhYUkJyf/JJfZn4v/todWUlISqamp\nZ/Hv5ZaVuF8IRUVFuN0eilfdTsekeIp3vEZXUwS2+gq23dyLMY2ZdIs7iK2HCa9FQWdTMbgdeCQZ\n5TsrYi2o6hNO9dhIjBVOdI1e/9jQUqx4qnMce+4YzlV3LkFGEG63tuOF+8Sm8E2LccsKii/z7dAb\nSC8/icVlpygigZSaknbc8bKULAKO7UAWmodAqLUGA62Ul+CSQ0iq2z9gaYkGA6fVJGIaCugsitDJ\ngKzzB/ySwYLb3YTep1QlCWjOyePPaxtaFZ0Co1Fs1YiXhhPsshFUnYdUqO3zj5sC1IBIFFsNqe5i\n0tZPB9MTmDoOwGurRmko1Y43mCBjND0LdrCpz5OYwxLgldEw4m48pneQHPWIuJ7onumnJVhSB2iN\nO3yG1gXbUWMzkSLSkHpPbf1grn8bCV/mrgVHN2mW8hX5rcF2v+navxYc36qt5LkdoG9PrbwQFBQU\nUFlZSWho6E82EPtvwvr168nLyyMsLIyUlJT/3935P8cFFUi2O0GSrhZCLJMkabIQYrmPM301ME4I\nsfLf0sufiP/fhTotOMnt1LOJziwmoE2GGEAguMJxiCKjHV1DM/agMC6RZbYi2qc5EHTZdoyGQV0p\n02sDarhXoloRzPKEcaT4BKptF3t7TEDBQ9RpK8OSxxDwRC+OPP4KeYRSj5d5pHE7he34iI+RSCde\nQscXvMTdCIZTiZuhBPMo59Yp/mrpUrKff4Zxqw1YggJZnZiN1+nlqgULSB0zBqvVenaldxt4PB6+\n+OILkpOT6d/ft+S3ZxFq3lrOJI8mIcyC0nMiKHqcBXsw/GMIpztfzaqqEObUvAmdhmrZVo8Lrv4H\n7F0Mm17h+PCniVjzCKEJHZErj+Idfieutf/A01hNXpdZ9Ml5DQUvXtnAhugpRNkK6d2c7S9mbBs8\nOzCi4ELf5m59n3KJ9J2/v9tWC9Q2f7dktPznyDpQPbhQMLZ5UAokrTAJCWdALAHNZSDrQfUgENiU\nIAK8rZMG0X0iUs5X7T5jb5/pKLkrUQFhDEbXUILw9bAotA8RIQEEF2+jIvoioiu/RZIV+Ee99pCZ\nPx2iO8PAG2HF43DVc9oDqqlay5QPng0JrQWG1pzNNGWvIOH6Z5EUXwBanK1Z01/1HMS2sVFe+RSc\n3g+3fAw6A5s2bWLr1q3MmDGDsLAwTCbT92a5Fy9ezLFjx5g9ezZxcXE4nc52WtttoaoqjY2NZxlI\nPPPMM3g8Hh599NFznnc+HDhwgOXLlzNixAguueSSn9TG4cOHWblyJdOnTyc1NZX8/HxiY2N/llLJ\n/3KB5O7du8nNzWX69Onfa3K0Z88eVq9ezWx1FXGVe3z0DwWEF4fOyJ2DX2JOzadkndiE5FGRPa2/\n52aDBZfeQHiz1V8I6VR0ECBo7mQhbH8j9T0DCT3Y5L+eAGoDw5j052Vsf2AkLkXP9q4Xc2nOFlRJ\nYtbcN5j/zzvQez1s6XYxl+Tu8CcKZN8vuTIoAqPXTaitgQZDEEaPzU9D2ZJ5MZfk7UBVfb5mvkeH\nG8k/ftUERRLRWO3vjwcJm85CiKdZC4olBXngTI1y5tIcdluoLareDAhETHeU8sM4zTEYGk7hlnQ0\nykGEq1ZaRr5zFZa2oEHSFLx0k56A3DVweAUCcAQlYWo8o3HFZZ1G5Vj1F8hfB5Zwag3RhFvzUfVm\nZJ1RG/vv3gD5G+GDG8FWS0P/2bxxIoCLho5s7ydQng/7P4OR94DBVy/lcWneDvGa1KfX62X37t2k\np6e3TvT+OUHLgD+8XxsHt/wTxj0CIe31HaxWK6Wlpa2uuqf3w64PWWjtxInSaubOnUt4eDjFxcU4\nnc7/WanP0tJSTpw4weDBg3+2P8l/Kn5o3P0p6YLekiTdDnT1GdskoxVM/rh13/8hxHM/KTyDhbOX\nkr6lieMmFbdkRFfZDBLs8HjwD1UtBYySRN/UdF7RdcKIhApUKwJFgNiTzx/CMjnUYyyxVPAAcYik\nOHZ9+BSrpjzCKcKp92Un7qGoJXbXHCeBfGy8x1iM3MOVxDKb21lA0/cG2qqqcvKbryB7H8Jdj8dQ\ngjHZg6uhAbUkB2PZQWJiYtj5j3/wVu/eNFVUnNWGTqfj6quvbg20AZprkHd/QPKmx1F6X6nxlwFj\nx/5IL9TgHP8klrReuAbdomVXN70K296kqegg1JdAySHKd67AUHcSb0MlNXdsY5vIwGgyE2Q2kjXy\nCmRF1igjwVEct2TylWUsFZY0fxcE2gNGACacKN8JrdtnuWl3XttjzhWQe2kNvlsy7e3OU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bbvx42k2YgMHRsdR9rV69mo8++simGfCUUuz+8EO2vPgiP40axQ8T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\nAk169aJhx46Vut+cnByWL19O27Zt6XN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nTtDW1saoUaM6JMdqamriwoULjBkzplO3MZ1Ox7p167C3t2flypVG5wRkQPfj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LahoqBJkybodLrrUpJvCRX5gpbaZpSgI9nWOc8lbYHP+qMf8glbt2wizJhGZlI2IZPnour5NLS+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kpLSykrK6t1MosffgdX8yVgEA0weB7kppq+XzaWw2sgNw0mLzVuevDBB2s4oLKwsDC6dOlC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\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DlgEDItDp1CxZcpKMjAqmPnkrOjstGgdbNBqR7U9NLaWoSI9CIaFQmFm8+ABLlhxAp1NT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/MhBEFYCRwGGgmCkC0IwmhBEMYKgjAWQBTFzUC6IAiXgAXA+L/xdP8QMlQICFxkBG+MW8iJj6D9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"text": [ "" ] } ], "prompt_number": 148 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bottom 4 panels in the above set are Figure 10.21. This is the same data set, but it fits seven attributes, resulting in a 15-component Gaussian mixture solution. Despite the additional attributes and components, the clusters really didn't change much, indicating that not much new information was added.\n", "\n", "**Supervised Approach**\n", "\n", "When a training set of data is available, other methods include a Gaussian mixture model Bayes classifier (Section 9.3.5) and support vector machines (Section 9.6). They both did fairly well, and the GMMB slightly outperformed the SVM (see tables 2 and 3 on p. 450). Both methods struggled distinguishing EA (Algol-type) from EB/EW (contact) eclipsing binaries. However, that's not surprising since even experts have difficulty distinguishing the two." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.3.5. Analysis of Arrival Time Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of the above analysis assumes some uncertainty in the measurement value. But what about when there are sparse data sets where single events are recorded with negligible error. One example is an X-ray data set, where individual photons are detected with negligible background.\n", "\n", "The **Rayleigh test** is the best known classical test in this situation.\n", "\n", "$$R^2 = \\left( \\sum_{j=1}^{N} \\cos{(2 \\pi \\phi_j)}\\right)^2 + \\left( \\sum_{j=1}^{N} \\sin{(2 \\pi \\phi_j)}\\right)^2$$\n", "\n", "This is carried out for a grid of periods, just like the periodogram.\n", "\n", "Small $R^2 =>$ random\n", "\n", "Large $R^2 =>$ periodic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Nonparametric Bayesian Approach**\n", "\n", "An interseting alternative was carried out by [Gregory and Loredo (1992)](http://adsabs.harvard.edu/abs/1992ApJ...398..146G). \n", "\n", "First, divide the data set into very small bins to create a sparse data set, where values are either 1 or 0 in each bin.\n", "\n", "The expectation value is then\n", "\n", "$$\\mu(t) = r(t) \\Delta t$$\n", "\n", "From Poisson statistics, the probability of detecting no photons is:\n", "\n", "$$p(0) = e^{-r(t) \\Delta t}$$\n", "\n", "And the probability of a single event/count is:\n", "$$p(1) = r(t)\\Delta t e^{-r(t)\\Delta t}$$\n", "\n", "The data likelihood is then\n", "$$p(D|r, I) = (\\Delta t)^N \\exp{\\left( -\\int_{T} r(t) dt \\right)} \\prod_{j=1}^{N}r(t_j)$$\n", "\n", "They then used a nonparametric function for the rate function, treating it as a piecewise constant function, $f_j$, with $M$ steps of the same width, and $\\sum_j f_j = 1$.\n", "\n", "They then marginalize the resulting pdf to produce an analog for the periodogram.\n", "\n", "When little is known about the shape of the signal, this method is superior to a Fourier series expansion." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Bayesian Blocks**\n", "\n", "Similar to the Gregory-Loredo method, but with adaptive bin sizes." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "10.4. Temporally Localized Signals" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stationary signal with an event localized in time.\n", "\n", "Examples are a microlensing event and bursts of emission.\n", "\n", "Two parametric models are **burst signal** and **chirp signal**." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.4.1. Searching for a Burst Signal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Super basic. You have a stationary signal\n", "\n", "$$y(t) = b_0 + \\epsilon$$\n", "\n", "at some point, there's a burst. This can be generalized in the form of\n", "\n", "$$y_B (t | T, A, \\theta) = A g_B (t - T|\\theta)$$\n", "\n", "One option for $g_B$ is $g_B(t \\alpha) = \\exp{(-\\alpha t)}$. Use MCMC to estimate the parameters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1025()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "@pickle_results: using precomputed results from 'matchedfilt_burst.pkl'\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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nn32mcXFxdzzHKkPdspM+xrfeesvy8borR77TTf9Cc2Rh4mK8xMREHTx4sJYt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\nJSoFyASecPdMIneCDEOTjsNEm/XeCXQkchXvRDO7JqFBxchRt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"text": [ "" ] } ], "prompt_number": 175 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.4.2. Searching for Chirp Signal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Doing the same thing as above, but with a \"chirp\" signal\n", "\n", "$$y(t) = b_0 + A \\sin{[\\omega t + \\beta t^2]}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1026()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "@pickle_results: using precomputed results from 'matchedfilt_chirp.pkl'\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Q0ICSkpIWoTAAoNFowDlHRUWFrHUSEhLg5uYGxlirogtykpv1ycvLa+U0KBEd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RcXJ/s7IyMD33333XvNpFTt6dOnGDduHBISEuDj44MWLVqodX/6iptXMWaYtDrpAAAhRB8AawAY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"text": [ "" ] } ], "prompt_number": 176 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here's a combination of the two -- a temporally localized exponentially decaying chirp signal\n", "\n", "$$y_C(t|T, A, \\phi, \\omega, \\beta) = A \\sin{[\\phi + \\omega (t - T) + \\beta (t - T)^2 ]}\\exp{[-\\alpha (t - T)]}$$\n", "\n", "that is riding on top of another signal\n", "\n", "$$y(t) = b_0 + b_1 \\sin{(\\Omega_1 t)} \\sin{(\\Omega_2 t)}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1027()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "@pickle_results: using precomputed results from 'matchedfilt_chirp2.pkl'\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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nP/+hjIwMl/1NmzaNXn31VYf1qamptG7dOpt1s2fPpqVLl9qsi46O9vu6ikyd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\nHUk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"text": [ "" ] } ], "prompt_number": 177 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For signals that are not just localized in time, but in frequency too, wavelets can be helpul." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1028()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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iPaDFqBtVrLj7HDhwwG4RqLCqX51Qf0OJWHFHthsW81AgELBU8aTFLDcqPW2x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Hj9KZPXxY/sXO3V/LvrG1VBIOjY9eagUY10FoRly5YFLsM2eP0yf/78KevsIFgnbBBC7ieEnAKA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"text": [ "" ] } ], "prompt_number": 178 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "10.5 Analysis of Stochastic Processes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stochastic Processes: behavior that is not predictable forever, but is always there.\n", "\n", "Underlying physics is too complex to deterministically predict future values (e.g. magnetic dynamos, long-term weather)" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.5.1. The Autocorrelation and Structure Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The correlation of two functions, $f(t)$ and $g(t)$, is\n", "\n", "$$CF(\\Delta t) = \\frac{\\lim_{T \\rightarrow \\infty} \\frac{1}{T} \\int_{(T)} f(t)g(t+\\Delta t) dt}{\\sigma_f \\sigma_g}$$\n", "\n", "and the autocorrelation function compares a function to itself and different times\n", "\n", "$$ACF(\\Delta t) = \\frac{\\lim_{T \\rightarrow \\infty} \\frac{1}{T} \\int_{(T)} f(t)f(t+\\Delta t) dt}{\\sigma_f^2}$$\n", "\n", "If the time series repeats itself by shifting the time axis by $t_{lag}$, then the ACF will have a peak at $\\Delta t = t_{lag}$.\n", "\n", "This is analogous to computing the PSD in period space. For that reason, the ACF and PSD are known as \"Fourier Pairs\", which is known as the \"Wiener-Khinchin theorem\"." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Structure Function**\n", "\n", "The structure function is closely related to the ACF.\n", "\n", "$$SF(\\Delta t) = SF_{\\infty} [1 - ACF(\\Delta t)]^{1/2}$$\n", "\n", "where $SF_{\\infty}$ is the standard deviation of the time series over infinite time.\n", "\n", "The structure function, the ACF, and the PSD are all mathematically equivalent and are all used; however, due to issues of noise and sampling, they may not always result in equivalent inferences about the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Examples of stochastic processes: $1/f$ and $1/f^2$ processes**\n", "\n", "The authors are *really* getting lazy here... Essentially, see [[56]](http://adsabs.harvard.edu/abs/1995A%26A...300..707T) for details.\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1029()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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sttIbsMboPBCX37RpU6xatcr5hulgdDyaNWvmMCKq2ePn7A0Lf6AQk1p40jDf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\nuJQMuQ+A9rBuri/3W0mS4iRJ6iZJ0muXvlsmSdI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V4mMQ7N69GyEhITh//jwyMzPRuXNn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\nIAgixPnDH/6AL774ormnQRCEBsHKaAcqOqLmaAMI+GJIQFkhxJ9IhZrQl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"text": [ "" ] } ], "prompt_number": 181 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above figure illustrates the connection between the PSDs for $1/f$ and $1/f^2$ processes and their corresponding time series.\n", "\n", "- $1/f$: AKA memory noise, flicker noise, and red noise\n", "- $1/f^2$: brownian motion, random walk, red noise (in which case $1/f$ is known as pink noise)\n", "\n", "The variance of the mean of a $1/f$ process does not decrease with time -- it's infinite." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.5.2. Autocorrelation and Structure Function for Evenly and Unevenly Sampled Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similar to problems with the PSD with unevenly sampled data, the discrete ACF only works for evenly sampled data. An alternative is the discrete correlation function (DCF, or UDCF), also known as the \"slot autocorrelation function\" in the physics community. \n", "\n", "It's just binning the data. \n", "\n", "astroML includes tools for computing the ACF of unevenly sampled data using two methods: the Scargle method and the Edelson Krolik method. \n", "\n", "The difference (or lack thereof) is shown below)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot1030()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8CPgX8GdgX+Acd58RREO6IhPC49BzG3dJHpCkEC61qJpDeGZ2lHJeY2o5hOcG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ce0mHemgMfDwwPBwcFITEx0yGucK84ErDExMdixYwc++ugj1w7qDoJk3ccHfD6fUxDe29sLT09P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\nmFkrYKWZb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"text": [ "" ] } ], "prompt_number": 183 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.5.3. Autoregressive Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Autoregressive models provide a good general description of processes that \"retain memory\", but are not periodic. A random walk is a good example:\n", "\n", "$$y_i = \\beta y_{i-1} + e_i$$\n", "\n", "$\\beta > 1$ is known as a geometric random walk model, which is used extensively to model stock market data.\n", "\n", "An autoregressive process of order $k$ for a discrete process is defined by\n", "\n", "$$y_i = \\sum_{j=1}^k a_j y_{i-j} + e_i$$\n", "\n", "In other words, the $ith$ value of $y$ is a linear combination of the $k$ previous values of $y$.\n", "\n", "Related processes include \n", "\n", "- moving average (MA): $y_i$ depends only on past values of noise\n", "- autogressive moving average (ARMA): a combination of AR and MA\n", "- autoregressive integrated moving average (ARIMA): ARMA + random walk\n", "- Kalman filtering: state-space or dynamic linear modeling\n", "\n", "**discrete**\n", "\n", "The equation for an autoregressive process shown above is only applicable for an evenly sampled data set. A generalization of this is the **continuous autoregressive process** (CAR($k$)). \n", "\n", "A Gaussian process is also a great to model time series." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "10.5.4. Damped Random Walk Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A CAR(1) process is also known as a damped random walk, or an Ornstein-Uhlenbeck process. The damped random walk is a $1/f^2$ process at high frequencies.\n", "\n", "For evenly sampled data the CAR(1) process is equivalent to the AR(1) process with $a_1 = \\exp{(-1/\\tau)}$.\n", "\n", "A damped random walk provides a good description of the optical continuum of quasars, and has been used to distinguish them from stars." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "10.6. Which Method Should I Use for Time Series Analysis?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Astronomical data are usually unevenly sampled with heteroscedastic errors. For this reason, the generalized Lomb-Scargle periodogram is usually a good starting point for periodic variability.\n", "\n", "If dealing with sparse data and an unknown model, the Gregory-Loredo method or Bayesian blocks can be really useful.\n", "\n", "You can also drop in your own function to make a periodogram specific to your model. A good example of this is the box least squares (BLS) periodogram for transit data.\n", "\n", "Another good non-parametric model is importance sampling, otherwise known as Approximate Bayesian Computing. Nikhil is a good person to talk to about this -- he has applied it to RV data with a Gaussian Mixture Model.\n", "\n", "Other topics not discussed in this chapter include state-space models, Kalman filters, Markov chains, and stochastic differential equations. " ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Appendix: Figure Code" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Author: Jake VanderPlas\n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "# To report a bug or issue, use the following forum:\n", "# https://groups.google.com/forum/#!forum/astroml-general\n", "\n", "\n", "#----------------------------------------------------------------------\n", "# This function adjusts matplotlib settings for a uniform feel in the textbook.\n", "# Note that with usetex=True, fonts are rendered with LaTeX. This may\n", "# result in an error if LaTeX is not installed on your system. In that case,\n", "# you can set usetex to False.\n", "def plot1001():\n", " #------------------------------------------------------------\n", " # Load the RR Lyrae template\n", " templates = fetch_rrlyrae_templates()\n", " x, y = templates['115r'].T\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure(figsize=myfigsize)\n", " fig.subplots_adjust(hspace=0)\n", "\n", " kvals = [1, 3, 8]\n", " subplots = [311, 312, 313]\n", "\n", " for (k, subplot) in zip(kvals, subplots):\n", " ax = fig.add_subplot(subplot)\n", "\n", " # Use FFT to fit a truncated Fourier series\n", " y_fft = np.fft.fft(y)\n", " y_fft[k + 1:-k] = 0\n", " y_fit = np.fft.ifft(y_fft).real\n", "\n", " # plot the true value and the k-term reconstruction\n", " ax.plot(np.concatenate([x, 1 + x]),\n", " np.concatenate([y, y]), '--k', lw=2)\n", " ax.plot(np.concatenate([x, 1 + x]),\n", " np.concatenate([y_fit, y_fit]), color='gray')\n", "\n", " label = \"%i mode\" % k\n", " if k > 1:\n", " label += 's'\n", "\n", " ax.text(0.02, 0.1, label, ha='left', va='bottom',\n", " transform=ax.transAxes)\n", "\n", " if subplot == subplots[-1]:\n", " ax.set_xlabel('phase')\n", " else:\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "\n", " if subplot == subplots[1]:\n", " ax.set_ylabel('amplitude')\n", " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", "\n", " ax.set_xlim(0, 2)\n", " ax.set_ylim(1.1, -0.1)\n", "\n", " #plt.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# Author: Jake VanderPlas\n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "# To report a bug or issue, use the following forum:\n", "# https://groups.google.com/forum/#!forum/astroml-general\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "from astroML.time_series import \\\n", " lomb_scargle, lomb_scargle_BIC, lomb_scargle_bootstrap\n", "\n", "#----------------------------------------------------------------------\n", "# This function adjusts matplotlib settings for a uniform feel in the textbook.\n", "# Note that with usetex=True, fonts are rendered with LaTeX. This may\n", "# result in an error if LaTeX is not installed on your system. In that case,\n", "# you can set usetex to False.\n", "from astroML.plotting import setup_text_plots\n", "setup_text_plots(fontsize=8, usetex=True)\n", "\n", "#------------------------------------------------------------\n", "# Generate data where y is positive\n", "np.random.seed(0)\n", "N = 30\n", "P = 0.3\n", "\n", "t = P / 2 * np.random.random(N) + P * np.random.randint(100, size=N)\n", "y = 10 + np.sin(2 * np.pi * t / P)\n", "dy = 0.5 + 0.5 * np.random.random(N)\n", "y_obs = y + np.random.normal(dy)\n", "\n", "omega_0 = 2 * np.pi / P\n", "\n", "#######################################################################\n", "# Generate the plot with and without the original typo\n", "\n", "for typo in [True, False]:\n", " #------------------------------------------------------------\n", " # Compute the Lomb-Scargle Periodogram\n", " sig = np.array([0.1, 0.01, 0.001])\n", " omega = np.linspace(17, 22, 1000)\n", "\n", " # Notice the typo: we used y rather than y_obs\n", " if typo is True:\n", " P_S = lomb_scargle(t, y, dy, omega, generalized=False)\n", " P_G = lomb_scargle(t, y, dy, omega, generalized=True)\n", " else:\n", " P_S = lomb_scargle(t, y_obs, dy, omega, generalized=False)\n", " P_G = lomb_scargle(t, y_obs, dy, omega, generalized=True)\n", "\n", " #------------------------------------------------------------\n", " # Get significance via bootstrap\n", " D = lomb_scargle_bootstrap(t, y_obs, dy, omega, generalized=True,\n", " N_bootstraps=1000, random_state=0)\n", " sig1, sig5 = np.percentile(D, [99, 95])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "#Figure 10.4\n", "# Author: Jake VanderPlas\n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "# To report a bug or issue, use the following forum:\n", "# https://groups.google.com/forum/#!forum/astroml-general\n", "\n", "#----------------------------------------------------------------------\n", "# This function adjusts matplotlib settings for a uniform feel in the textbook.\n", "# Note that with usetex=True, fonts are rendered with LaTeX. This may\n", "# result in an error if LaTeX is not installed on your system. In that case,\n", "# you can set usetex to False.\n", "def plot1004():\n", "\n", " #from astroML.plotting import setup_text_plots\n", " #setup_text_plots(fontsize=8, usetex=True)\n", "\n", " #------------------------------------------------------------\n", " # Generate the data\n", " Nbins = 2 ** 15\n", " Nobs = 40\n", " f = lambda t: np.sin(np.pi * t / 3)\n", "\n", " t = np.linspace(-100, 200, Nbins)\n", " dt = t[1] - t[0]\n", " y = f(t)\n", "\n", " # select observations\n", " np.random.seed(42)\n", " t_obs = 100 * np.random.random(40)\n", "\n", " D = abs(t_obs[:, np.newaxis] - t)\n", " i = np.argmin(D, 1)\n", "\n", " t_obs = t[i]\n", " y_obs = y[i]\n", " window = np.zeros(Nbins)\n", " window[i] = 1\n", "\n", " #------------------------------------------------------------\n", " # Compute PSDs\n", " Nfreq = Nbins / 2\n", "\n", " dt = t[1] - t[0]\n", " df = 1. / (Nbins * dt)\n", " f = df * np.arange(Nfreq)\n", "\n", " PSD_window = abs(np.fft.fft(window)[:Nfreq]) ** 2\n", " PSD_y = abs(np.fft.fft(y)[:Nfreq]) ** 2\n", " PSD_obs = abs(np.fft.fft(y * window)[:Nfreq]) ** 2\n", "\n", " # normalize the true PSD so it can be shown in the plot:\n", " # in theory it's a delta function, so normalization is\n", " # arbitrary\n", "\n", " # scale PSDs for plotting\n", " PSD_window /= 500\n", " PSD_y /= PSD_y.max()\n", " PSD_obs /= 500\n", "\n", " #------------------------------------------------------------\n", " # Prepare the figures\n", " fig = plt.figure()\n", " fig.subplots_adjust(bottom=0.15, hspace=0.2, wspace=0.25,\n", " left=0.12, right=0.95)\n", "\n", " # First panel: data vs time\n", " ax = fig.add_subplot(221)\n", " ax.plot(t, y, '-', c='gray')\n", " ax.plot(t_obs, y_obs, '.k', ms=4)\n", " ax.text(0.95, 0.93, \"Data\", ha='right', va='top', transform=ax.transAxes)\n", " ax.set_ylabel('$y(t)$')\n", " ax.set_xlim(0, 100)\n", " ax.set_ylim(-1.5, 1.8)\n", "\n", " # Second panel: PSD of data\n", " ax = fig.add_subplot(222)\n", " ax.fill(f, PSD_y, fc='gray', ec='gray')\n", " ax.plot(f, PSD_obs, '-', c='black')\n", " ax.text(0.95, 0.93, \"Data PSD\", ha='right', va='top', transform=ax.transAxes)\n", " ax.set_ylabel('$P(f)$')\n", " ax.set_xlim(0, 1.0)\n", " ax.set_ylim(-0.1, 1.1)\n", "\n", " # Third panel: window vs time\n", " ax = fig.add_subplot(223)\n", " ax.plot(t, window, '-', c='black')\n", " ax.text(0.95, 0.93, \"Window\", ha='right', va='top', transform=ax.transAxes)\n", " ax.set_xlabel('$t$')\n", " ax.set_ylabel('$y(t)$')\n", " ax.set_xlim(0, 100)\n", " ax.set_ylim(-0.2, 1.5)\n", "\n", " # Fourth panel: PSD of window\n", " ax = fig.add_subplot(224)\n", " ax.plot(f, PSD_window, '-', c='black')\n", " ax.text(0.95, 0.93, \"Window PSD\", ha='right', va='top', transform=ax.transAxes)\n", " ax.set_xlabel('$f$')\n", " ax.set_ylabel('$P(f)$')\n", " ax.set_xlim(0, 1.0)\n", " ax.set_ylim(-0.1, 1.1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1006():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", " from scipy import fftpack\n", " from matplotlib import mlab\n", "\n", " from astroML.datasets import fetch_LIGO_large\n", "\n", " #------------------------------------------------------------\n", " # Fetch the LIGO hanford data\n", " data, dt = fetch_LIGO_large()\n", "\n", " # subset of the data to plot\n", " t0 = 646\n", " T = 2\n", " tplot = dt * np.arange(T * 4096)\n", " dplot = data[4096 * t0: 4096 * (t0 + T)]\n", "\n", " tplot = tplot[::10]\n", " dplot = dplot[::10]\n", "\n", " fmin = 40\n", " fmax = 2060\n", "\n", " #------------------------------------------------------------\n", " # compute PSD using simple FFT\n", " N = len(data)\n", " df = 1. / (N * dt)\n", " PSD = abs(dt * fftpack.fft(data)[:N / 2]) ** 2\n", " f = df * np.arange(N / 2)\n", "\n", " cutoff = ((f >= fmin) & (f <= fmax))\n", " f = f[cutoff]\n", " PSD = PSD[cutoff]\n", " f = f[::100]\n", " PSD = PSD[::100]\n", "\n", " #------------------------------------------------------------\n", " # compute PSD using Welch's method -- no window function\n", " PSDW1, fW1 = mlab.psd(data, NFFT=4096, Fs=1. / dt,\n", " window=mlab.window_none, noverlap=2048)\n", "\n", " dfW1 = fW1[1] - fW1[0]\n", "\n", " cutoff = (fW1 >= fmin) & (fW1 <= fmax)\n", " fW1 = fW1[cutoff]\n", " PSDW1 = PSDW1[cutoff]\n", "\n", " #------------------------------------------------------------\n", " # compute PSD using Welch's method -- hanning window function\n", " PSDW2, fW2 = mlab.psd(data, NFFT=4096, Fs=1. / dt,\n", " window=mlab.window_hanning, noverlap=2048)\n", "\n", " dfW2 = fW2[1] - fW2[0]\n", "\n", " cutoff = (fW2 >= fmin) & (fW2 <= fmax)\n", " fW2 = fW2[cutoff]\n", " PSDW2 = PSDW2[cutoff]\n", "\n", " #------------------------------------------------------------\n", " # Plot the data\n", " fig = plt.figure()\n", " fig.subplots_adjust(bottom=0.1, top=0.9, hspace=0.3)\n", "\n", " # top panel: time series\n", " ax = fig.add_subplot(311)\n", " ax.plot(tplot, dplot, '-k')\n", " ax.set_xlabel('time (s)')\n", " ax.set_ylabel('$h(t)$')\n", "\n", " ax.set_ylim(-1.2E-18, 1.2E-18)\n", "\n", " # middle panel: non-windowed filter\n", " ax = fig.add_subplot(312)\n", " ax.loglog(f, PSD, '-', c='#AAAAAA')\n", " ax.loglog(fW1, PSDW1, '-k')\n", " ax.text(0.98, 0.95, \"Top-hat window\",\n", " ha='right', va='top', transform=ax.transAxes)\n", "\n", " ax.set_xlabel('frequency (Hz)')\n", " ax.set_ylabel(r'$PSD(f)$')\n", "\n", " ax.set_xlim(40, 2060)\n", " ax.set_ylim(1E-46, 1E-36)\n", " ax.yaxis.set_major_locator(plt.LogLocator(base=100))\n", "\n", " # bottom panel: hanning window\n", " ax = fig.add_subplot(313)\n", " ax.loglog(f, PSD, '-', c='#AAAAAA')\n", " ax.loglog(fW2, PSDW2, '-k')\n", " ax.text(0.98, 0.95, \"Hanning (cosine) window\",\n", " ha='right', va='top', transform=ax.transAxes)\n", "\n", " ax.set_xlabel('frequency (Hz)')\n", " ax.set_ylabel(r'$PSD(f)$')\n", "\n", " ax.set_xlim(40, 2060)\n", " ax.set_ylim(1E-46, 1E-36)\n", " ax.yaxis.set_major_locator(plt.LogLocator(base=100))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "#Figure 10.7\n", "# Author: Jake VanderPlas\n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "# To report a bug or issue, use the following forum:\n", "# https://groups.google.com/forum/#!forum/astroml-general\n", "\n", "def plot1007():\n", " from astroML.fourier import\\\n", " FT_continuous, IFT_continuous, sinegauss, sinegauss_FT, wavelet_PSD\n", "\n", " #------------------------------------------------------------\n", " # Sample the function: localized noise\n", " np.random.seed(0)\n", "\n", " N = 1024\n", " t = np.linspace(-5, 5, N)\n", " x = np.ones(len(t))\n", "\n", " h = np.random.normal(0, 1, len(t))\n", " h *= np.exp(-0.5 * (t / 0.5) ** 2)\n", "\n", " #------------------------------------------------------------\n", " # Compute an example wavelet\n", " W = sinegauss(t, 0, 1.5, Q=1.0)\n", "\n", " #------------------------------------------------------------\n", " # Compute the wavelet PSD\n", " f0 = np.linspace(0.5, 7.5, 100)\n", " wPSD = wavelet_PSD(t, h, f0, Q=1.0)\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", " fig.subplots_adjust(hspace=0.05, left=0.12, right=0.95, bottom=0.08, top=0.95)\n", "\n", " # First panel: the signal\n", " ax = fig.add_subplot(311)\n", " ax.plot(t, h, '-k', lw=1)\n", " ax.text(0.02, 0.95, (\"Input Signal:\\n\"\n", " \"Localized Gaussian noise\"),\n", " ha='left', va='top', transform=ax.transAxes)\n", "\n", " ax.set_xlim(-4, 4)\n", " ax.set_ylim(-2.9, 2.9)\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax.set_ylabel('$h(t)$')\n", "\n", " # Second panel: an example wavelet\n", " ax = fig.add_subplot(312)\n", " ax.plot(t, W.real, '-k', label='real part', lw=1)\n", " ax.plot(t, W.imag, '--k', label='imag part', lw=1)\n", "\n", " ax.text(0.02, 0.95, (\"Example Wavelet\\n\"\n", " \"$t_0 = 0$, $f_0=1.5$, $Q=1.0$\"),\n", " ha='left', va='top', transform=ax.transAxes)\n", " ax.text(0.98, 0.05,\n", " (r\"$w(t; t_0, f_0, Q) = e^{-[f_0 (t - t_0) / Q]^2}\"\n", " \"e^{2 \\pi i f_0 (t - t_0)}$\"),\n", " ha='right', va='bottom', transform=ax.transAxes)\n", "\n", " ax.legend(loc=1)\n", "\n", " ax.set_xlim(-4, 4)\n", " ax.set_ylim(-1.4, 1.4)\n", " ax.set_ylabel('$w(t; t_0, f_0, Q)$')\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "\n", " # Third panel: the spectrogram\n", " ax = plt.subplot(313)\n", " ax.imshow(wPSD, origin='lower', aspect='auto', cmap=plt.cm.jet,\n", " extent=[t[0], t[-1], f0[0], f0[-1]])\n", "\n", " ax.text(0.02, 0.95, (\"Wavelet PSD\"), color='w',\n", " ha='left', va='top', transform=ax.transAxes)\n", "\n", " ax.set_xlim(-4, 4)\n", " ax.set_ylim(0.5, 7.5)\n", "\n", " ax.set_xlabel('$t$')\n", " ax.set_ylabel('$f_0$')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "#Figure 10.8\n", "# Author: Jake VanderPlas\n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "# To report a bug or issue, use the following forum:\n", "# https://groups.google.com/forum/#!forum/astroml-general\n", "def plot1008():\n", " from astroML.fourier import FT_continuous, IFT_continuous\n", "\n", " def wavelet(t, t0, f0, Q):\n", " return (np.exp(-(f0 / Q * (t - t0)) ** 2)\n", " * np.exp(2j * np.pi * f0 * (t - t0)))\n", "\n", "\n", " def wavelet_FT(f, t0, f0, Q):\n", " # this is its fourier transform using\n", " # H(f) = integral[ h(t) exp(-2pi i f t) dt]\n", " return (np.sqrt(np.pi) * Q / f0\n", " * np.exp(-2j * np.pi * f * t0)\n", " * np.exp(-(np.pi * (f - f0) * Q / f0) ** 2))\n", "\n", "\n", " def check_funcs(t0=1, f0=2, Q=3):\n", " t = np.linspace(-5, 5, 10000)\n", " h = wavelet(t, t0, f0, Q)\n", "\n", " f, H = FT_continuous(t, h)\n", " assert np.allclose(H, wavelet_FT(f, t0, f0, Q))\n", "\n", " #------------------------------------------------------------\n", " # Create the simulated dataset\n", " np.random.seed(5)\n", "\n", " t = np.linspace(-40, 40, 2001)[:-1]\n", " h = np.exp(-0.5 * ((t - 20.) / 1.0) ** 2)\n", " hN = h + np.random.normal(0, 0.5, size=h.shape)\n", "\n", " #------------------------------------------------------------\n", " # Compute the convolution via the continuous Fourier transform\n", " # This is more exact than using the discrete transform, because\n", " # we have an analytic expression for the FT of the wavelet.\n", " Q = 0.3\n", " f0 = 2 ** np.linspace(-3, -1, 100)\n", "\n", " f, H = FT_continuous(t, hN)\n", " W = np.conj(wavelet_FT(f, 0, f0[:, None], Q))\n", " t, HW = IFT_continuous(f, H * W)\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", " fig.subplots_adjust(hspace=0.05, left=0.12, right=0.95, bottom=0.08, top=0.95)\n", "\n", " # First panel: the signal\n", " ax = fig.add_subplot(311)\n", " ax.plot(t, hN, '-k', lw=1)\n", "\n", " ax.text(0.02, 0.95, (\"Input Signal:\\n\"\n", " \"Localized spike plus noise\"),\n", " ha='left', va='top', transform=ax.transAxes)\n", "\n", " ax.set_xlim(-40, 40)\n", " ax.set_ylim(-1.2, 2.2)\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax.set_ylabel('$h(t)$')\n", "\n", " # Second panel: the wavelet\n", " ax = fig.add_subplot(312)\n", " W = wavelet(t, 0, 0.125, Q)\n", " ax.plot(t, W.real, '-k', label='real part', lw=1)\n", " ax.plot(t, W.imag, '--k', label='imag part', lw=1)\n", "\n", " ax.legend(loc=1)\n", " ax.text(0.02, 0.95, (\"Example Wavelet\\n\"\n", " \"$t_0 = 0$, $f_0=1/8$, $Q=0.3$\"),\n", " ha='left', va='top', transform=ax.transAxes)\n", " ax.text(0.98, 0.05,\n", " (r\"$w(t; t_0, f_0, Q) = e^{-[f_0 (t - t_0) / Q]^2}\"\n", " \"e^{2 \\pi i f_0 (t - t_0)}$\"),\n", " ha='right', va='bottom', transform=ax.transAxes)\n", "\n", " ax.set_xlim(-40, 40)\n", " ax.set_ylim(-1.4, 1.4)\n", " ax.set_ylabel('$w(t; t_0, f_0, Q)$')\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "\n", " # Third panel: the spectrogram\n", " ax = fig.add_subplot(313)\n", " ax.imshow(abs(HW) ** 2, origin='lower', aspect='auto', cmap=plt.cm.binary,\n", " extent=[t[0], t[-1], np.log2(f0)[0], np.log2(f0)[-1]])\n", " ax.set_xlim(-40, 40)\n", "\n", " ax.text(0.02, 0.95, (\"Wavelet PSD\"), color='w',\n", " ha='left', va='top', transform=ax.transAxes)\n", "\n", " ax.set_ylim(np.log2(f0)[0], np.log2(f0)[-1])\n", " ax.set_xlabel('$t$')\n", " ax.set_ylabel('$f_0$')\n", "\n", " ax.yaxis.set_major_locator(plt.MultipleLocator(1))\n", " ax.yaxis.set_major_formatter(plt.FuncFormatter(lambda x, *args: (\"1/%i\"\n", " % (2 ** -x))))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "#Figure 10.10\n", "# Author: Jake VanderPlas\n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "# To report a bug or issue, use the following forum:\n", "# https://groups.google.com/forum/#!forum/astroml-general\n", "def plot1010():\n", " from scipy import optimize, fftpack\n", " from astroML.filters import savitzky_golay, wiener_filter\n", "\n", " #------------------------------------------------------------\n", " # Create the noisy data\n", " np.random.seed(5)\n", " N = 2000\n", " dt = 0.05\n", "\n", " t = dt * np.arange(N)\n", " h = np.exp(-0.5 * ((t - 20.) / 1.0) ** 2)\n", " hN = h + np.random.normal(0, 0.5, size=h.shape)\n", "\n", " Df = 1. / N / dt\n", " f = fftpack.ifftshift(Df * (np.arange(N) - N / 2))\n", " HN = fftpack.fft(hN)\n", "\n", " #------------------------------------------------------------\n", " # Set up the Wiener filter:\n", " # fit a model to the PSD consisting of the sum of a\n", " # gaussian and white noise\n", " h_smooth, PSD, P_S, P_N, Phi = wiener_filter(t, hN, return_PSDs=True)\n", "\n", " #------------------------------------------------------------\n", " # Use the Savitzky-Golay filter to filter the values\n", " h_sg = savitzky_golay(hN, window_size=201, order=4, use_fft=False)\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " N = len(t)\n", " Df = 1. / N / (t[1] - t[0])\n", " f = fftpack.ifftshift(Df * (np.arange(N) - N / 2))\n", " HN = fftpack.fft(hN)\n", "\n", " fig = plt.figure()\n", " fig.subplots_adjust(wspace=0.05, hspace=0.25,\n", " bottom=0.1, top=0.95,\n", " left=0.12, right=0.95)\n", "\n", " # First plot: noisy signal\n", " ax = fig.add_subplot(221)\n", " ax.plot(t, hN, '-', c='gray')\n", " ax.plot(t, np.zeros_like(t), ':k')\n", " ax.text(0.98, 0.95, \"Input Signal\", ha='right', va='top',\n", " transform=ax.transAxes, bbox=dict(fc='w', ec='none'))\n", "\n", " ax.set_xlim(0, 90)\n", " ax.set_ylim(-0.5, 1.5)\n", "\n", " ax.xaxis.set_major_locator(plt.MultipleLocator(20))\n", " ax.set_xlabel(r'$\\lambda$')\n", " ax.set_ylabel('flux')\n", "\n", " # Second plot: filtered signal\n", " ax = plt.subplot(222)\n", " ax.plot(t, np.zeros_like(t), ':k', lw=1)\n", " ax.plot(t, h_smooth, '-k', lw=1.5, label='Wiener')\n", " ax.plot(t, h_sg, '-', c='gray', lw=1, label='Savitzky-Golay')\n", "\n", " ax.text(0.98, 0.95, \"Filtered Signal\", ha='right', va='top',\n", " transform=ax.transAxes)\n", " ax.legend(loc='upper right', bbox_to_anchor=(0.98, 0.9), frameon=False)\n", "\n", " ax.set_xlim(0, 90)\n", " ax.set_ylim(-0.5, 1.5)\n", "\n", " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", " ax.xaxis.set_major_locator(plt.MultipleLocator(20))\n", " ax.set_xlabel(r'$\\lambda$')\n", "\n", " # Third plot: Input PSD\n", " ax = fig.add_subplot(223)\n", " ax.scatter(f[:N / 2], PSD[:N / 2], s=9, c='k')\n", " ax.plot(f[:N / 2], P_S[:N / 2], '-k')\n", " ax.plot(f[:N / 2], P_N[:N / 2], '-k')\n", "\n", " ax.text(0.98, 0.95, \"Input PSD\", ha='right', va='top',\n", " transform=ax.transAxes)\n", "\n", " ax.set_ylim(-100, 3500)\n", " ax.set_xlim(0, 0.9)\n", "\n", " ax.yaxis.set_major_locator(plt.MultipleLocator(1000))\n", " ax.xaxis.set_major_locator(plt.MultipleLocator(0.2))\n", " ax.set_xlabel('$f$')\n", " ax.set_ylabel('$PSD(f)$')\n", "\n", " # Fourth plot: Filtered PSD\n", " ax = fig.add_subplot(224)\n", " filtered_PSD = (Phi * abs(HN)) ** 2\n", " ax.scatter(f[:N / 2], filtered_PSD[:N / 2], s=9, c='k')\n", "\n", " ax.text(0.98, 0.95, \"Filtered PSD\", ha='right', va='top',\n", " transform=ax.transAxes)\n", "\n", " ax.set_ylim(-100, 3500)\n", " ax.set_xlim(0, 0.9)\n", "\n", " ax.yaxis.set_major_locator(plt.MultipleLocator(1000))\n", " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", " ax.xaxis.set_major_locator(plt.MultipleLocator(0.2))\n", " ax.set_xlabel('$f$')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "# Author: Jake VanderPlas\n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "# To report a bug or issue, use the following forum:\n", "# https://groups.google.com/forum/#!forum/astroml-general\n", "def plot1015():\n", " from astroML.time_series import\\\n", " lomb_scargle, lomb_scargle_BIC, lomb_scargle_bootstrap\n", "\n", " #------------------------------------------------------------\n", " # Generate Data\n", " np.random.seed(0)\n", " N = 30\n", " P = 0.3\n", "\n", " t = np.random.randint(100, size=N) + 0.3 + 0.4 * np.random.random(N)\n", " y = 10 + np.sin(2 * np.pi * t / P)\n", " dy = 0.5 + 0.5 * np.random.random(N)\n", " y_obs = np.random.normal(y, dy)\n", "\n", " #------------------------------------------------------------\n", " # Compute periodogram\n", " period = 10 ** np.linspace(-1, 0, 10000)\n", " omega = 2 * np.pi / period\n", " PS = lomb_scargle(t, y_obs, dy, omega, generalized=True)\n", "\n", " #------------------------------------------------------------\n", " # Get significance via bootstrap\n", " D = lomb_scargle_bootstrap(t, y_obs, dy, omega, generalized=True,\n", " N_bootstraps=1000, random_state=0)\n", " sig1, sig5 = np.percentile(D, [99, 95])\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", " fig.subplots_adjust(left=0.1, right=0.9, hspace=0.25)\n", "\n", " # First panel: the data\n", " ax = fig.add_subplot(211)\n", " ax.errorbar(t, y_obs, dy, fmt='.k', lw=1, ecolor='gray')\n", " ax.set_xlabel('time (days)')\n", " ax.set_ylabel('flux')\n", " ax.set_xlim(-5, 105)\n", "\n", " # Second panel: the periodogram & significance levels\n", " ax1 = fig.add_subplot(212, xscale='log')\n", " ax1.plot(period, PS, '-', c='black', lw=1, zorder=1)\n", " ax1.plot([period[0], period[-1]], [sig1, sig1], ':', c='black')\n", " ax1.plot([period[0], period[-1]], [sig5, sig5], ':', c='black')\n", "\n", " ax1.annotate(\"\", (0.3, 0.65), (0.3, 0.85), ha='center',\n", " arrowprops=dict(arrowstyle='->'))\n", "\n", " ax1.set_xlim(period[0], period[-1])\n", " ax1.set_ylim(-0.05, 0.85)\n", "\n", " ax1.set_xlabel(r'period (days)')\n", " ax1.set_ylabel('power')\n", "\n", " # Twin axis: label BIC on the right side\n", " ax2 = ax1.twinx()\n", " ax2.set_ylim(tuple(lomb_scargle_BIC(ax1.get_ylim(), y_obs, dy)))\n", " ax2.set_ylabel(r'$\\Delta BIC$')\n", "\n", " ax1.xaxis.set_major_formatter(plt.FormatStrFormatter('%.1f'))\n", " ax1.xaxis.set_minor_formatter(plt.FormatStrFormatter('%.1f'))\n", " ax1.xaxis.set_major_locator(plt.LogLocator(10))\n", " ax1.xaxis.set_major_formatter(plt.FormatStrFormatter('%.3g'))\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1015():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", " from astroML.time_series import \\\n", " lomb_scargle, lomb_scargle_BIC, lomb_scargle_bootstrap\n", "\n", " #------------------------------------------------------------\n", " # Generate data where y is positive\n", " np.random.seed(0)\n", " N = 30\n", " P = 0.3\n", "\n", " t = P / 2 * np.random.random(N) + P * np.random.randint(100, size=N)\n", " y = 10 + np.sin(2 * np.pi * t / P)\n", " dy = 0.5 + 0.5 * np.random.random(N)\n", " y_obs = y + np.random.normal(dy)\n", "\n", " omega_0 = 2 * np.pi / P\n", "\n", " #######################################################################\n", " # Redo the plot without the typo\n", " # We need a larger data range to actually get significant power\n", " # with actual noisy data\n", "\n", " #------------------------------------------------------------\n", " # Generate data where y is positive\n", " np.random.seed(0)\n", " N = 300\n", " P = 0.3\n", "\n", " t = P / 2 * np.random.random(N) + P * np.random.randint(1000, size=N)\n", " y = 10 + np.sin(2 * np.pi * t / P)\n", " dy = 0.1 + 0.1 * np.random.random(N)\n", " y_obs = y + np.random.normal(dy)\n", "\n", " omega_0 = 2 * np.pi / P\n", "\n", "\n", " #------------------------------------------------------------\n", " # Compute the Lomb-Scargle Periodogram\n", " sig = np.array([0.1, 0.01, 0.001])\n", " omega = np.linspace(20.5, 21.1, 1000)\n", "\n", " P_S = lomb_scargle(t, y_obs, dy, omega, generalized=False)\n", " P_G = lomb_scargle(t, y_obs, dy, omega, generalized=True)\n", "\n", " #------------------------------------------------------------\n", " # Get significance via bootstrap\n", " D = lomb_scargle_bootstrap(t, y_obs, dy, omega, generalized=True,\n", " N_bootstraps=1000, random_state=0)\n", " sig1, sig5 = np.percentile(D, [99, 95])\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", "\n", " # First panel: input data\n", " ax = fig.add_subplot(211)\n", " ax.errorbar(t, y_obs, dy, fmt='.k', lw=1, ecolor='gray')\n", " ax.plot([-20, 320], [10, 10], ':k', lw=1)\n", "\n", " ax.set_xlim(-20, 320)\n", " ax.set_xlabel('$t$')\n", " ax.set_ylabel('$y(t)$')\n", "\n", " # Second panel: periodogram\n", " ax = fig.add_subplot(212)\n", " ax.plot(omega, P_S, '--k', lw=1, label='standard')\n", " ax.plot(omega, P_S, '-', c='gray', lw=1)\n", " ax.plot(omega, P_G, '-', color='#BA4C37', lw=1, label='generalized')\n", " ax.legend(loc=2)\n", "\n", " # plot the significance lines.\n", " xlim = (omega[0], omega[-1])\n", " ax.plot(xlim, [sig1, sig1], ':', c='black')\n", " ax.plot(xlim, [sig5, sig5], ':', c='black')\n", "\n", " # label BIC on the right side\n", " ax2 = ax.twinx()\n", " ax2.set_ylim(tuple(lomb_scargle_BIC(ax.get_ylim(), y_obs, dy)))\n", " ax2.set_ylabel(r'$\\Delta BIC$')\n", "\n", " ax.set_xlabel('$\\omega$')\n", " ax.set_ylabel(r'$P_{\\rm LS}(\\omega)$')\n", " ax.set_xlim(xlim)\n", " ax.set_ylim(0, 0.12)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1017():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " from astroML.decorators import pickle_results\n", " from astroML.time_series import search_frequencies, lomb_scargle, MultiTermFit\n", " from astroML.datasets import fetch_LINEAR_sample\n", "\n", " #------------------------------------------------------------\n", " # Load the dataset\n", " data = fetch_LINEAR_sample()\n", " ids = [14752041, 1009459, 10022663, 10025796, 11375941, 18525697]\n", "\n", "\n", " #------------------------------------------------------------\n", " # Compute the best frequencies\n", " @pickle_results('LINEAR_LS.pkl')\n", " def compute_best_frequencies(ids, n_eval=10000, n_retry=5, generalized=True):\n", " results = {}\n", " for i in ids:\n", " t, y, dy = data[i].T\n", " print \" - computing power for %i (%i points)\" % (i, len(t))\n", " kwargs = dict(generalized=generalized)\n", " omega, power = search_frequencies(t, y, dy, n_eval=n_eval,\n", " n_retry=n_retry,\n", " LS_kwargs=kwargs)\n", " results[i] = [omega, power]\n", "\n", " return results\n", "\n", " results = compute_best_frequencies(ids, n_eval=10000, n_retry=5)\n", "\n", " #------------------------------------------------------------\n", " # Plot the phased light-curves\n", " fig = plt.figure()\n", " fig.subplots_adjust(hspace=0.1, bottom=0.06, top=0.94, left=0.12, right=0.94)\n", "\n", " for i in range(6):\n", " # get the data and best-fit angular frequency\n", " t, y, dy = data[ids[i]].T\n", " omega, power = results[ids[i]]\n", " omega_best = omega[np.argmax(power)]\n", " print \" - omega_0 = %.10g\" % omega_best\n", "\n", " # do a fit to the first 4 Fourier components\n", " mtf = MultiTermFit(omega_best, 4)\n", " mtf.fit(t, y, dy)\n", " phase_fit, y_fit, phased_t = mtf.predict(1000, return_phased_times=True)\n", "\n", " # plot the phased data and best-fit curves\n", " ax = fig.add_subplot(321 + i)\n", " ax.errorbar(phased_t, y, dy, fmt='.k', ecolor='gray',\n", " lw=1, ms=4, capsize=1.5)\n", " ax.plot(phase_fit, y_fit, '-b', lw=2)\n", "\n", " ax.set_xlim(0, 1)\n", " ax.set_ylim(plt.ylim()[::-1])\n", " ax.yaxis.set_major_locator(plt.MaxNLocator(4))\n", "\n", " ax.text(0.03, 0.04, \"ID = %i\" % ids[i], ha='left', va='bottom',\n", " transform=ax.transAxes)\n", " ax.text(0.03, 0.96, \"P = %.2f hr\" % (2 * np.pi / omega_best * 24.),\n", " ha='left', va='top',\n", " transform=ax.transAxes)\n", "\n", " ylim = ax.get_ylim()\n", " ax.set_ylim(ylim[0], ylim[0] + 1.1 * (ylim[1] - ylim[0]))\n", "\n", " if i < 4:\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " if i % 2 == 0:\n", " ax.set_ylabel('mag')\n", "\n", " if i in (4, 5):\n", " ax.set_xlabel('phase')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1018():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " from astroML.time_series import multiterm_periodogram, MultiTermFit\n", " from astroML.datasets import fetch_LINEAR_sample\n", "\n", " #------------------------------------------------------------\n", " # Get data\n", " data = fetch_LINEAR_sample()\n", " t, y, dy = data[14752041].T\n", "\n", " #------------------------------------------------------------\n", " # Do a single-term and multi-term fit around the peak\n", " omega0 = 17.217\n", " nterms_fit = 6\n", "\n", " # hack to get better phases: this doesn't change results,\n", " # except for how the phase plots are displayed\n", " t -= 0.4 * np.pi / omega0\n", "\n", " width = 0.03\n", " omega = np.linspace(omega0 - width - 0.01, omega0 + width - 0.01, 1000)\n", "\n", " #------------------------------------------------------------\n", " # Compute periodograms and best-fit solutions\n", " # factor gives the factor that we're dividing the fundamental frequency by\n", " factors = [1, 2]\n", " nterms = [1, 6]\n", "\n", " # Compute PSDs for factors & nterms\n", " PSDs = dict()\n", " for f in factors:\n", " for n in nterms:\n", " PSDs[(f, n)] = multiterm_periodogram(t, y, dy, omega / f, n)\n", "\n", " # Compute the best-fit omega from the 6-term fit\n", " omega_best = dict()\n", " for f in factors:\n", " omegaf = omega / f\n", " PSDf = PSDs[(f, 6)]\n", " omega_best[f] = omegaf[np.argmax(PSDf)]\n", "\n", " # Compute the best-fit solution based on the fundamental frequency\n", " best_fit = dict()\n", " for f in factors:\n", " for n in nterms:\n", " mtf = MultiTermFit(omega_best[f], n)\n", " mtf.fit(t, y, dy)\n", " phase_best, y_best = mtf.predict(1000, adjust_offset=False)\n", "\n", " best_fit[(f, n)] = (phase_best, y_best)\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", " fig.subplots_adjust(left=0.1, right=0.95, wspace=0.25,\n", " bottom=0.12, top=0.95, hspace=0.2)\n", "\n", " for i, f in enumerate(factors):\n", " P_best = 2 * np.pi / omega_best[f]\n", " phase_best = (t / P_best) % 1\n", "\n", " # first column: plot the PSD\n", " ax1 = fig.add_subplot(221 + 2 * i)\n", " ax1.plot(omega / f, PSDs[(f, 6)], '-', c='#46959E', label='6 terms', lw=2)\n", " ax1.plot(omega / f, PSDs[(f, 1)], '-', c='#BA4C37', label='1 term')\n", " ax1.grid(color='gray')\n", " ax1.legend(loc=2)\n", "\n", " ax1.axis('tight')\n", " ax1.set_ylim(-0.05, 1.001)\n", " ax1.xaxis.set_major_locator(plt.MultipleLocator(0.01))\n", " ax1.xaxis.set_major_formatter(plt.FormatStrFormatter('%.2f'))\n", "\n", " # second column: plot the phased data & fit\n", " ax2 = fig.add_subplot(222 + 2 * i)\n", " ax2.errorbar(phase_best, y, dy, fmt='.k', ms=4, ecolor='gray', lw=1,\n", " capsize=1.5)\n", " ax2.plot(best_fit[(f, 1)][0], best_fit[(f, 1)][1], '-', c='#BA4C37')\n", " ax2.plot(best_fit[(f, 6)][0], best_fit[(f, 6)][1], '-', c='#46959E', lw=2)\n", "\n", " ax2.text(0.02, 0.02, (r\"$\\omega_0 = %.2f$\" % omega_best[f] + \"\\n\"\n", " + r\"$P_0 = %.2f\\ {\\rm hours}$\" % (24 * P_best)),\n", " ha='left', va='bottom', transform=ax2.transAxes)\n", "\n", " ax2.grid(color='gray')\n", " ax2.set_xlim(0, 1)\n", " ax2.set_ylim(plt.ylim()[::-1])\n", " ax2.yaxis.set_major_locator(plt.MultipleLocator(0.4))\n", "\n", " # label both axes\n", " ax1.set_ylabel(r'$P_{\\rm LS}(\\omega)$')\n", " ax2.set_ylabel(r'${\\rm mag}$')\n", " if i == 1:\n", " ax1.set_xlabel(r'$\\omega$')\n", " ax2.set_xlabel(r'${\\rm phase}$')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1019():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", " from astroML.time_series import multiterm_periodogram, lomb_scargle_BIC\n", " from astroML.datasets import fetch_LINEAR_sample\n", "\n", " #------------------------------------------------------------\n", " # Fetch the data\n", " data = fetch_LINEAR_sample()\n", "\n", " t, y, dy = data[14752041].T\n", " omega0 = 17.217\n", "\n", " # focus only on the region with the peak\n", " omega1 = np.linspace(17.213, 17.220, 100)\n", " omega2 = 0.5 * omega1\n", "\n", " #------------------------------------------------------------\n", " # Compute the delta BIC\n", " terms = np.arange(1, 21)\n", " BIC_max = np.zeros((2, len(terms)))\n", "\n", " for i, omega in enumerate([omega1, omega2]):\n", " for j in range(len(terms)):\n", " P = multiterm_periodogram(t, y, dy, omega, terms[j])\n", " BIC = lomb_scargle_BIC(P, y, dy, n_harmonics=terms[j])\n", " BIC_max[i, j] = BIC.max()\n", "\n", " #----------------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", "\n", " ax = [fig.add_axes((0.15, 0.53, 0.8, 0.37)),\n", " fig.add_axes((0.15, 0.1, 0.8, 0.37))]\n", " ax_inset = [fig.add_axes((0.15 + 7 * 0.04, 0.55, 0.79 - 7 * 0.04, 0.17)),\n", " fig.add_axes((0.15 + 7 * 0.04, 0.12, 0.79 - 7 * 0.04, 0.17))]\n", " ylims = [(22750, 22850),\n", " (26675, 26775)]\n", " omega0 = [17.22, 8.61]\n", "\n", " for i in range(2):\n", " # Plot full panel\n", " ax[i].plot(terms, BIC_max[i], '-k')\n", " ax[i].set_xlim(0, 20)\n", " ax[i].set_ylim(0, 30000)\n", " ax[i].text(0.02, 0.95, r\"$\\omega_0 = %.2f$\" % omega0[i],\n", " ha='left', va='top', transform=ax[i].transAxes)\n", "\n", " ax[i].set_ylabel(r'$\\Delta BIC$')\n", " if i == 1:\n", " ax[i].set_xlabel('N frequencies')\n", " ax[i].grid(color='gray')\n", "\n", " # plot inset\n", " ax_inset[i].plot(terms, BIC_max[i], '-k')\n", " ax_inset[i].xaxis.set_major_locator(plt.MultipleLocator(5))\n", " ax_inset[i].xaxis.set_major_formatter(plt.NullFormatter())\n", " ax_inset[i].yaxis.set_major_locator(plt.MultipleLocator(25))\n", " ax_inset[i].yaxis.set_major_formatter(plt.FormatStrFormatter('%i'))\n", " ax_inset[i].set_xlim(7, 19.75)\n", " ax_inset[i].set_ylim(ylims[i])\n", " ax_inset[i].set_title('zoomed view')\n", " ax_inset[i].grid(color='gray')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1021():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", " from sklearn.mixture import GMM\n", "\n", " from astroML.decorators import pickle_results\n", " from astroML.datasets import fetch_LINEAR_geneva\n", "\n", " #------------------------------------------------------------\n", " # Get the Geneva periods data\n", " data = fetch_LINEAR_geneva()\n", "\n", " #----------------------------------------------------------------------\n", " # compute Gaussian Mixture models\n", "\n", " filetemplate = 'gmm_res_%i_%i.pkl'\n", " attributes = [('gi', 'logP'),\n", " ('ug', 'gi', 'iK', 'JK', 'logP', 'amp', 'skew')]\n", " components = np.arange(1, 21)\n", "\n", " #------------------------------------------------------------\n", " # Create attribute arrays\n", " Xarrays = []\n", " for attr in attributes:\n", " Xarrays.append(np.vstack([data[a] for a in attr]).T)\n", "\n", "\n", " #------------------------------------------------------------\n", " # Compute the results (and save to pickle file)\n", " @pickle_results('LINEAR_clustering.pkl')\n", " def compute_GMM_results(components, attributes):\n", " clfs = []\n", "\n", " for attr, X in zip(attributes, Xarrays):\n", " clfs_i = []\n", "\n", " for comp in components:\n", " print \" - %i component fit\" % comp\n", " clf = GMM(comp, covariance_type='full',\n", " random_state=0, n_iter=500)\n", " clf.fit(X)\n", " clfs_i.append(clf)\n", "\n", " if not clf.converged_:\n", " print \" NOT CONVERGED!\"\n", "\n", " clfs.append(clfs_i)\n", " return clfs\n", "\n", " clfs = compute_GMM_results(components, attributes)\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", " fig.subplots_adjust(hspace=0.1, wspace=0.1)\n", "\n", " class_labels = []\n", "\n", " for i in range(2):\n", " # Grab the best classifier, based on the BIC\n", " X = Xarrays[i]\n", " BIC = [c.bic(X) for c in clfs[i]]\n", " i_best = np.argmin(BIC)\n", "\n", " print \"number of components:\", components[i_best]\n", "\n", " clf = clfs[i][i_best]\n", " n_components = clf.n_components\n", "\n", " # Predict the cluster labels with the classifier\n", " c = clf.predict(X)\n", " classes = np.unique(c)\n", "\n", " class_labels.append(c)\n", "\n", " # sort the cluster by normalized density of points\n", " counts = np.sum(c == classes[:, None], 1)\n", " size = np.array([np.linalg.det(C) for C in clf.covars_])\n", " weights = clf.weights_\n", " density = counts / size\n", "\n", " # Clusters with very few points are less interesting:\n", " # set their density to zero so they'll go to the end of the list\n", " density[counts < 5] = 0\n", " isort = np.argsort(density)[::-1]\n", "\n", " # find statistics of the top 10 clusters\n", " Nclusters = 6\n", "\n", " means = []\n", " stdevs = []\n", " counts = []\n", "\n", " names = [name for name in data.dtype.names[2:] if name != 'LINEARobjectID']\n", " labels = ['$u-g$', '$g-i$', '$i-K$', '$J-K$',\n", " r'$\\log(P)$', 'amplitude', 'skew',\n", " 'kurtosis', 'median mag', r'$N_{\\rm obs}$', 'Visual Class']\n", "\n", " assert len(names) == len(labels)\n", "\n", " i_logP = names.index('logP')\n", "\n", " for j in range(Nclusters):\n", " flag = (c == isort[j])\n", " counts.append(np.sum(flag))\n", " means.append([np.mean(data[n][flag]) for n in names])\n", " stdevs.append([data[n][flag].std() for n in names])\n", "\n", " counts = np.array(counts)\n", " means = np.array(means)\n", " stdevs = np.array(stdevs)\n", "\n", " # define colors based on median of logP\n", " j_ordered = np.argsort(-means[:, i_logP])\n", "\n", " # tweak colors by hand\n", " if i == 1:\n", " j_ordered[3], j_ordered[2] = j_ordered[2], j_ordered[3]\n", "\n", " color = np.zeros(c.shape)\n", " for j in range(Nclusters):\n", " flag = (c == isort[j_ordered[j]])\n", " color[flag] = j + 1\n", "\n", " # separate into foureground and background\n", " back = (color == 0)\n", " fore = ~back\n", "\n", " # Plot the resulting clusters\n", " ax1 = fig.add_subplot(221 + 2 * i)\n", " ax1.scatter(data['gi'][back], data['logP'][back],\n", " c='gray', edgecolors='none', s=4, linewidths=0)\n", " ax1.scatter(data['gi'][fore], data['logP'][fore],\n", " c=color[fore], edgecolors='none', s=4, linewidths=0)\n", "\n", " ax1.set_ylabel(r'$\\log(P)$')\n", "\n", " ax2 = plt.subplot(222 + 2 * i)\n", " ax2.scatter(data['amp'][back], data['logP'][back],\n", " c='gray', edgecolors='none', s=4, linewidths=0)\n", " ax2.scatter(data['amp'][fore], data['logP'][fore],\n", " c=color[fore], edgecolors='none', s=4, linewidths=0)\n", "\n", " #------------------------------\n", " # set axis limits\n", " ax1.set_xlim(-0.6, 2.1)\n", " ax2.set_xlim(0.1, 1.5)\n", " ax1.set_ylim(-1.5, 0.5)\n", " ax2.set_ylim(-1.5, 0.5)\n", "\n", " ax2.yaxis.set_major_formatter(plt.NullFormatter())\n", " if i == 0:\n", " ax1.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax2.xaxis.set_major_formatter(plt.NullFormatter())\n", " else:\n", " ax1.set_xlabel(r'$g-i$')\n", " ax2.set_xlabel(r'$A$')\n", "\n", "\n", " #------------------------------\n", " # print table of means and medians directly to LaTeX format\n", " #print r\"\\begin{tabular}{|l|lllllll|}\"\n", " #print r\" \\hline\"\n", " #for j in range(7):\n", " # print ' &', labels[j],\n", " #print r\"\\\\\"\n", " #print r\" \\hline\"\n", "\n", " #for j in range(Nclusters):\n", " # print \" %i \" % (j + 1),\n", " # for k in range(7):\n", " # print \" & $%.2f \\pm %.2f$ \" % (means[j, k], stdevs[j, k]),\n", " # print r\"\\\\\"\n", "\n", " #print r\"\\hline\"\n", " #print r\"\\end{tabular}\"\n", "\n", " #------------------------------------------------------------\n", " # Second figure\n", " fig = plt.figure()\n", " fig.subplots_adjust(left=0.11, right=0.95, wspace=0.3)\n", "\n", " attrs = ['skew', 'ug', 'iK', 'JK']\n", " labels = ['skew', '$u-g$', '$i-K$', '$J-K$']\n", " ylims = [(-1.8, 2.2), (0.6, 2.9), (0.1, 2.6), (-0.2, 1.2)]\n", "\n", " for i in range(4):\n", " ax = fig.add_subplot(221 + i)\n", " ax.scatter(data['gi'][back], data[attrs[i]][back],\n", " c='gray', edgecolors='none', s=4, linewidths=0)\n", " ax.scatter(data['gi'][fore], data[attrs[i]][fore],\n", " c=color[fore], edgecolors='none', s=4, linewidths=0)\n", " ax.set_xlabel('$g-i$')\n", " ax.set_ylabel(labels[i])\n", "\n", " ax.set_xlim(-0.6, 2.1)\n", " ax.set_ylim(ylims[i])\n", "\n", " #------------------------------------------------------------\n", " # Save the results\n", " #\n", " # run the script as\n", " #\n", " # >$ python fig_LINEAR_clustering.py --save\n", " #\n", " # to output the data file showing the cluster labels of each point\n", " import sys\n", " if len(sys.argv) > 1 and sys.argv[1] == '--save':\n", " filename = 'cluster_labels.dat'\n", "\n", " print \"Saving cluster labels to %s\" % filename\n", "\n", " from astroML.datasets.LINEAR_sample import ARCHIVE_DTYPE\n", " new_data = np.zeros(len(data),\n", " dtype=(ARCHIVE_DTYPE + [('2D_cluster_ID', 'i4'),\n", " ('7D_cluster_ID', 'i4')]))\n", "\n", " for name in data.dtype.names:\n", " new_data[name] = data[name]\n", " new_data['2D_cluster_ID'] = class_labels[0]\n", " new_data['7D_cluster_ID'] = class_labels[1]\n", "\n", " fmt = ('%.6f %.6f %.3f %.3f %.3f %.3f %.7f %.3f %.3f '\n", " '%.3f %.2f %i %i %s %i %i\\n')\n", "\n", "\n", " F = open(filename, 'w')\n", " F.write('# ra dec ug gi iK JK '\n", " 'logP Ampl skew kurt magMed nObs LCtype '\n", " 'LINEARobjectID 2D_cluster_ID 7D_cluster_ID\\n')\n", " for line in new_data:\n", " F.write(fmt % tuple(line[col] for col in line.dtype.names))\n", " F.close()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1025():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " # Hack to fix import issue in older versions of pymc\n", " import scipy\n", " import scipy.misc\n", " scipy.derivative = scipy.misc.derivative\n", " import pymc\n", "\n", " from astroML.plotting.mcmc import plot_mcmc\n", " from astroML.decorators import pickle_results\n", "\n", " #----------------------------------------------------------------------\n", " # Set up toy dataset\n", " def burst(t, b0, A, alpha, T):\n", " \"\"\"Burst model\"\"\"\n", " y = np.empty(t.shape)\n", " y.fill(b0)\n", " mask = (t >= T)\n", " y[mask] += A * np.exp(-alpha * (t[mask] - T))\n", " return y\n", "\n", " np.random.seed(0)\n", "\n", " N = 100\n", " b0_true = 10\n", " A_true = 5\n", " alpha_true = 0.1\n", " T_true = 50\n", " sigma = 1.0\n", "\n", " t = 100 * np.random.random(N)\n", "\n", " y_true = burst(t, b0_true, A_true, alpha_true, T_true)\n", " y_obs = np.random.normal(y_true, sigma)\n", "\n", "\n", " #----------------------------------------------------------------------\n", " # Set up MCMC sampling\n", " b0 = pymc.Uniform('b0', 0, 50, value=50 * np.random.random())\n", " A = pymc.Uniform('A', 0, 50, value=50 * np.random.random())\n", " T = pymc.Uniform('T', 0, 100, value=100 * np.random.random())\n", " log_alpha = pymc.Uniform('log_alpha', -10, 10, value=0)\n", "\n", "\n", " # uniform prior on log(alpha)\n", " @pymc.deterministic\n", " def alpha(log_alpha=log_alpha):\n", " return np.exp(log_alpha)\n", "\n", "\n", " @pymc.deterministic\n", " def y_model(t=t, b0=b0, A=A, alpha=alpha, T=T):\n", " return burst(t, b0, A, alpha, T)\n", "\n", " y = pymc.Normal('y', mu=y_model, tau=sigma ** -2, observed=True, value=y_obs)\n", "\n", " model = dict(b0=b0, A=A, T=T, log_alpha=log_alpha,\n", " alpha=alpha, y_model=y_model, y=y)\n", "\n", "\n", " #----------------------------------------------------------------------\n", " # Run the MCMC sampling\n", " @pickle_results('matchedfilt_burst.pkl')\n", " def compute_MCMC_results(niter=25000, burn=4000):\n", " S = pymc.MCMC(model)\n", " S.sample(iter=niter, burn=burn)\n", " traces = [S.trace(s)[:] for s in ['b0', 'A', 'T', 'alpha']]\n", "\n", " M = pymc.MAP(model)\n", " M.fit()\n", " fit_vals = (M.b0.value, M.A.value, M.alpha.value, M.T.value)\n", "\n", " return traces, fit_vals\n", "\n", " traces, fit_vals = compute_MCMC_results()\n", "\n", " labels = ['$b_0$', '$A$', '$T$', r'$\\alpha$']\n", " limits = [(9.2, 11.2), (2, 12), (45, 55), (0.0, 0.25)]\n", " true = [b0_true, A_true, T_true, alpha_true]\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", " fig.subplots_adjust(bottom=0.1, top=0.95,\n", " left=0.1, right=0.95,\n", " hspace=0.05, wspace=0.05)\n", "\n", " # This function plots multiple panels with the traces\n", " plot_mcmc(traces, labels=labels, limits=limits, true_values=true, fig=fig,\n", " bins=30, colors='k')\n", "\n", " # Plot the model fit\n", " ax = fig.add_axes([0.5, 0.7, 0.45, 0.25])\n", " t_fit = np.linspace(0, 100, 101)\n", " y_fit = burst(t_fit, *fit_vals)\n", "\n", " ax.scatter(t, y_obs, s=9, c='k')\n", " ax.plot(t_fit, y_fit, '-k')\n", " ax.set_xlim(0, 100)\n", " ax.set_xlabel('$t$')\n", " ax.set_ylabel(r'$h_{\\rm obs}$')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1026():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " # Hack to fix import issue in older versions of pymc\n", " import scipy\n", " import scipy.misc\n", " scipy.derivative = scipy.misc.derivative\n", " import pymc\n", "\n", " from astroML.plotting.mcmc import plot_mcmc\n", " from astroML.decorators import pickle_results\n", "\n", " #----------------------------------------------------------------------\n", " # Set up toy dataset\n", " def chirp(t, b0, beta, A, omega):\n", " return b0 + A * np.sin(omega * t + beta * t * t)\n", "\n", " np.random.seed(0)\n", "\n", " N = 100\n", " b0_true = 10\n", " A_true = 5\n", " beta_true = 0.01\n", " omega_true = 0.1\n", " sigma = 2.0\n", "\n", " t = 100 * np.random.random(N)\n", "\n", " y_true = chirp(t, b0_true, beta_true, A_true, omega_true)\n", " y_obs = np.random.normal(y_true, sigma)\n", "\n", " t_fit = np.linspace(0, 100, 1000)\n", " y_fit = chirp(t_fit, b0_true, beta_true, A_true, omega_true)\n", "\n", " i = np.argsort(t)\n", "\n", " #----------------------------------------------------------------------\n", " # Set up MCMC sampling\n", " b0 = pymc.Uniform('b0', 0, 50, value=50 * np.random.random())\n", " A = pymc.Uniform('A', 0, 50, value=50 * np.random.random())\n", " log_beta = pymc.Uniform('log_beta', -10, 10, value=-4.6)\n", " log_omega = pymc.Uniform('log_omega', -10, 10, value=-2.3)\n", "\n", "\n", " # uniform prior on log(beta)\n", " @pymc.deterministic\n", " def beta(log_beta=log_beta):\n", " return np.exp(log_beta)\n", "\n", "\n", " # uniform prior on log(omega)\n", " @pymc.deterministic\n", " def omega(log_omega=log_omega):\n", " return np.exp(log_omega)\n", "\n", "\n", " @pymc.deterministic\n", " def y_model(t=t, b0=b0, A=A, beta=beta, omega=omega):\n", " return chirp(t, b0, beta, A, omega)\n", "\n", " y = pymc.Normal('y', mu=y_model, tau=sigma ** -2, observed=True, value=y_obs)\n", "\n", " model = dict(b0=b0, A=A,\n", " log_beta=log_beta, beta=beta,\n", " log_omega=log_omega, omega=omega,\n", " y_model=y_model, y=y)\n", "\n", "\n", " #----------------------------------------------------------------------\n", " # Run the MCMC sampling (saving results to a pickle)\n", " @pickle_results('matchedfilt_chirp.pkl')\n", " def compute_MCMC_results(niter=20000, burn=2000):\n", " S = pymc.MCMC(model)\n", " S.sample(iter=niter, burn=burn)\n", " traces = [S.trace(s)[:] for s in ['b0', 'A', 'omega', 'beta']]\n", "\n", " M = pymc.MAP(model)\n", " M.fit()\n", " fit_vals = (M.b0.value, M.beta.value, M.A.value, M.omega.value)\n", "\n", " return traces, fit_vals\n", "\n", " traces, fit_vals = compute_MCMC_results()\n", "\n", " labels = ['$b_0$', '$A$', r'$\\omega$', r'$\\beta$']\n", " limits = [(9.5, 11.3), (3.6, 6.4), (0.065, 0.115), (0.00975, 0.01045)]\n", " true = [b0_true, A_true, omega_true, beta_true]\n", "\n", " #----------------------------------------------------------------------\n", " # Find the Maximum a posteriori values\n", " fig = plt.figure()\n", "\n", " ax = plt.axes([0.5, 0.7, 0.45, 0.25])\n", " t_fit = np.linspace(0, 100, 1001)\n", " y_fit = chirp(t_fit, *fit_vals)\n", " plt.scatter(t, y_obs, s=9, c='k')\n", " plt.plot(t_fit, y_fit, '-k')\n", " plt.xlim(0, 100)\n", " plt.xlabel('$t$')\n", " plt.ylabel(r'$h_{\\rm obs}$')\n", "\n", " # This function plots multiple panels with the traces\n", " plot_mcmc(traces, labels=labels, limits=limits, true_values=true, fig=fig,\n", " bins=30, bounds=[0.12, 0.08, 0.95, 0.91], colors='k')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1027():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " # Hack to fix import issue in older versions of pymc\n", " import scipy\n", " import scipy.misc\n", " scipy.derivative = scipy.misc.derivative\n", " import pymc\n", "\n", " from astroML.decorators import pickle_results\n", " from astroML.plotting.mcmc import plot_mcmc\n", "\n", " #----------------------------------------------------------------------\n", " # Set up toy dataset\n", " def chirp(t, T, A, phi, omega, beta):\n", " \"\"\"chirp signal\"\"\"\n", " signal = A * np.sin(phi + omega * (t - T) + beta * (t - T) ** 2)\n", " signal[t < T] = 0\n", " return signal\n", "\n", "\n", " def background(t, b0, b1, Omega1, Omega2):\n", " \"\"\"background signal\"\"\"\n", " return b0 + b1 * np.sin(Omega1 * t) * np.sin(Omega2 * t)\n", "\n", "\n", " np.random.seed(0)\n", " N = 500\n", " T_true = 30\n", " A_true = 0.8\n", " phi_true = np.pi / 2\n", " omega_true = 0.1\n", " beta_true = 0.02\n", " b0_true = 0.5\n", " b1_true = 1.0\n", " Omega1_true = 0.3\n", " Omega2_true = 0.4\n", " sigma = 0.1\n", "\n", " t = 100 * np.random.random(N)\n", "\n", " signal = chirp(t, T_true, A_true, phi_true, omega_true, beta_true)\n", " bg = background(t, b0_true, b1_true, Omega1_true, Omega2_true)\n", "\n", " y_true = signal + bg\n", "\n", " y_obs = np.random.normal(y_true, sigma)\n", "\n", " t_fit = np.linspace(0, 100, 1000)\n", " y_fit = (chirp(t_fit, T_true, A_true, phi_true, omega_true, beta_true) +\n", " background(t_fit, b0_true, b1_true, Omega1_true, Omega2_true))\n", "\n", "\n", " #----------------------------------------------------------------------\n", " # Set up MCMC sampling\n", " T = pymc.Uniform('T', 0, 100, value=T_true)\n", " A = pymc.Uniform('A', 0, 100, value=A_true)\n", " phi = pymc.Uniform('phi', -np.pi, np.pi, value=phi_true)\n", " log_omega = pymc.Uniform('log_omega', -4, 0, value=np.log(omega_true))\n", " log_beta = pymc.Uniform('log_beta', -6, 0, value=np.log(beta_true))\n", " b0 = pymc.Uniform('b0', 0, 100, value=b0_true)\n", " b1 = pymc.Uniform('b1', 0, 100, value=b1_true)\n", " log_Omega1 = pymc.Uniform('log_Omega1', -3, 0, value=np.log(Omega1_true))\n", " log_Omega2 = pymc.Uniform('log_Omega2', -3, 0, value=np.log(Omega2_true))\n", " omega = pymc.Uniform('omega', 0.001, 1, value=omega_true)\n", " beta = pymc.Uniform('beta', 0.001, 1, value=beta_true)\n", "\n", "\n", " # uniform prior on log(Omega1)\n", " @pymc.deterministic\n", " def Omega1(log_Omega1=log_Omega1):\n", " return np.exp(log_Omega1)\n", "\n", "\n", " # uniform prior on log(Omega2)\n", " @pymc.deterministic\n", " def Omega2(log_Omega2=log_Omega2):\n", " return np.exp(log_Omega2)\n", "\n", "\n", " @pymc.deterministic\n", " def y_model(t=t, T=T, A=A, phi=phi, omega=omega, beta=beta,\n", " b0=b0, b1=b1, Omega1=Omega1, Omega2=Omega2):\n", " return (chirp(t, T, A, phi, omega, beta)\n", " + background(t, b0, b1, Omega1, Omega2))\n", "\n", " y = pymc.Normal('y', mu=y_model, tau=sigma ** -2, observed=True, value=y_obs)\n", "\n", " model = dict(T=T, A=A, phi=phi, b0=b0, b1=b1,\n", " log_omega=log_omega, omega=omega,\n", " log_beta=log_beta, beta=beta,\n", " log_Omega1=log_Omega1, Omega1=Omega1,\n", " log_Omega2=log_Omega2, Omega2=Omega2,\n", " y_model=y_model, y=y)\n", "\n", "\n", " #----------------------------------------------------------------------\n", " # Run the MCMC sampling (saving the results to a pickle file)\n", " @pickle_results('matchedfilt_chirp2.pkl')\n", " def compute_MCMC(niter=30000, burn=2000):\n", " S = pymc.MCMC(model)\n", " S.sample(iter=30000, burn=2000)\n", " traces = [S.trace(s)[:] for s in ['T', 'A', 'omega', 'beta']]\n", " return traces\n", "\n", " traces = compute_MCMC()\n", "\n", " labels = ['$T$', '$A$', r'$\\omega$', r'$\\beta$']\n", " limits = [(29.75, 30.25), (0.75, 0.83), (0.085, 0.115), (0.0197, 0.0202)]\n", " true = [T_true, A_true, omega_true, beta_true]\n", "\n", " #------------------------------------------------------------\n", " # Plot results\n", " fig = plt.figure()\n", "\n", " # This function plots multiple panels with the traces\n", " axes_list = plot_mcmc(traces, labels=labels, limits=limits,\n", " true_values=true, fig=fig,\n", " bins=30, colors='k',\n", " bounds=[0.14, 0.08, 0.95, 0.95])\n", "\n", " for ax in axes_list:\n", " for axis in [ax.xaxis, ax.yaxis]:\n", " axis.set_major_locator(plt.MaxNLocator(5))\n", "\n", " ax = fig.add_axes([0.52, 0.7, 0.43, 0.25])\n", " ax.scatter(t, y_obs, s=9, c='k')\n", " ax.plot(t_fit, y_fit, '-k')\n", " ax.set_xlim(0, 100)\n", " ax.set_xlabel('$t$')\n", " ax.set_ylabel(r'$h_{\\rm obs}$')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1028():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " from astroML.fourier import FT_continuous, IFT_continuous, wavelet_PSD\n", "\n", " #------------------------------------------------------------\n", " # Define the chirp signal\n", " def chirp(t, T, A, phi, omega, beta):\n", " signal = A * np.sin(phi + omega * (t - T) + beta * (t - T) ** 2)\n", " signal[t < T] = 0\n", " return signal\n", "\n", "\n", " def background(t, b0, b1, Omega1, Omega2):\n", " return b0 + b1 * np.sin(Omega1 * t) * np.sin(Omega2 * t)\n", "\n", " N = 4096\n", " t = np.linspace(-50, 50, N)\n", " h_true = chirp(t, -20, 0.8, 0, 0.2, 0.02)\n", " h = h_true + np.random.normal(0, 1, N)\n", "\n", " #------------------------------------------------------------\n", " # Compute the wavelet PSD\n", " f0 = np.linspace(0.04, 0.6, 100)\n", " wPSD = wavelet_PSD(t, h, f0, Q=1.0)\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", " fig.subplots_adjust(hspace=0.05, left=0.1, right=0.95, bottom=0.1, top=0.95)\n", "\n", " # Top: plot the data\n", " ax = fig.add_subplot(211)\n", " ax.plot(t + 50, h, '-', c='#AAAAAA')\n", " ax.plot(t + 50, h_true, '-k')\n", "\n", " ax.text(0.02, 0.95, \"Input Signal: chirp\",\n", " ha='left', va='top', transform=ax.transAxes,\n", " bbox=dict(boxstyle='round', fc='w', ec='k'))\n", "\n", " ax.set_xlim(0, 100)\n", " ax.set_ylim(-2.9, 2.9)\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax.set_ylabel('$h(t)$')\n", "\n", " # Bottom: plot the 2D PSD\n", " ax = fig.add_subplot(212)\n", " ax.imshow(wPSD, origin='lower', aspect='auto',\n", " extent=[t[0] + 50, t[-1] + 50, f0[0], f0[-1]],\n", " cmap=plt.cm.binary)\n", "\n", " ax.text(0.02, 0.95, (\"Wavelet PSD\"), color='w',\n", " ha='left', va='top', transform=ax.transAxes)\n", "\n", " ax.set_xlim(0, 100)\n", " ax.set_ylim(0.04, 0.6001)\n", " ax.set_xlabel('$t$')\n", " ax.set_ylabel('$f_0$')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1029():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " from astroML.time_series import generate_power_law\n", " from astroML.fourier import PSD_continuous\n", "\n", " N = 1024\n", " dt = 0.01\n", " factor = 100\n", "\n", " t = dt * np.arange(N)\n", " random_state = np.random.RandomState(1)\n", "\n", " fig = plt.figure()\n", " fig.subplots_adjust(wspace=0.05)\n", "\n", " for i, beta in enumerate([1.0, 2.0]):\n", " # Generate the light curve and compute the PSD\n", " x = factor * generate_power_law(N, dt, beta, random_state=random_state)\n", " f, PSD = PSD_continuous(t, x)\n", "\n", " # First axes: plot the time series\n", " ax1 = fig.add_subplot(221 + i)\n", " ax1.plot(t, x, '-k')\n", "\n", " ax1.text(0.95, 0.05, r\"$P(f) \\propto f^{-%i}$\" % beta,\n", " ha='right', va='bottom', transform=ax1.transAxes)\n", "\n", " ax1.set_xlim(0, 10.24)\n", " ax1.set_ylim(-1.5, 1.5)\n", "\n", " ax1.set_xlabel(r'$t$')\n", "\n", " # Second axes: plot the PSD\n", " ax2 = fig.add_subplot(223 + i, xscale='log', yscale='log')\n", " ax2.plot(f, PSD, '-k')\n", " ax2.plot(f[1:], (factor * dt) ** 2 * (2 * np.pi * f[1:]) ** -beta, '--k')\n", "\n", " ax2.set_xlim(1E-1, 60)\n", " ax2.set_ylim(1E-6, 1E1)\n", "\n", " ax2.set_xlabel(r'$f$')\n", "\n", " if i == 1:\n", " ax1.yaxis.set_major_formatter(plt.NullFormatter())\n", " ax2.yaxis.set_major_formatter(plt.NullFormatter())\n", " else:\n", " ax1.set_ylabel(r'${\\rm counts}$')\n", " ax2.set_ylabel(r'$PSD(f)$')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot1030():\n", " # Author: Jake VanderPlas\n", " # License: BSD\n", " # The figure produced by this code is published in the textbook\n", " # \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", " # For more information, see http://astroML.github.com\n", " # To report a bug or issue, use the following forum:\n", " # https://groups.google.com/forum/#!forum/astroml-general\n", "\n", " from astroML.time_series import lomb_scargle, generate_damped_RW\n", " from astroML.time_series import ACF_scargle, ACF_EK\n", "\n", " #------------------------------------------------------------\n", " # Generate time-series data:\n", " # we'll do 1000 days worth of magnitudes\n", "\n", " t = np.arange(0, 1E3)\n", " z = 2.0\n", " tau = 300\n", " tau_obs = tau / (1. + z)\n", "\n", " np.random.seed(6)\n", " y = generate_damped_RW(t, tau=tau, z=z, xmean=20)\n", "\n", " # randomly sample 100 of these\n", " ind = np.arange(len(t))\n", " np.random.shuffle(ind)\n", " ind = ind[:100]\n", " ind.sort()\n", " t = t[ind]\n", " y = y[ind]\n", "\n", " # add errors\n", " dy = 0.1\n", " y_obs = np.random.normal(y, dy)\n", "\n", " #------------------------------------------------------------\n", " # compute ACF via scargle method\n", " C_S, t_S = ACF_scargle(t, y_obs, dy,\n", " n_omega=2 ** 12, omega_max=np.pi / 5.0)\n", "\n", " ind = (t_S >= 0) & (t_S <= 500)\n", " t_S = t_S[ind]\n", " C_S = C_S[ind]\n", "\n", " #------------------------------------------------------------\n", " # compute ACF via E-K method\n", " C_EK, C_EK_err, bins = ACF_EK(t, y_obs, dy, bins=np.linspace(0, 500, 51))\n", " t_EK = 0.5 * (bins[1:] + bins[:-1])\n", "\n", " #------------------------------------------------------------\n", " # Plot the results\n", " fig = plt.figure()\n", "\n", " # plot the input data\n", " ax = fig.add_subplot(211)\n", " ax.errorbar(t, y_obs, dy, fmt='.k', lw=1)\n", " ax.set_xlabel('t (days)')\n", " ax.set_ylabel('observed flux')\n", "\n", " # plot the ACF\n", " ax = fig.add_subplot(212)\n", " ax.plot(t_S, C_S, '-', c='gray', lw=1,\n", " label='Scargle')\n", " ax.errorbar(t_EK, C_EK, C_EK_err, fmt='.k', lw=1,\n", " label='Edelson-Krolik')\n", " ax.plot(t_S, np.exp(-abs(t_S) / tau_obs), '-k', label='True')\n", " ax.legend(loc=3)\n", "\n", " ax.plot(t_S, 0 * t_S, ':', lw=1, c='gray')\n", "\n", " ax.set_xlim(0, 500)\n", " ax.set_ylim(-1.0, 1.1)\n", "\n", " ax.set_xlabel('t (days)')\n", " ax.set_ylabel('ACF(t)')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 } ], "metadata": {} } ] }