{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Dave Green** (University of Cambridge) made a perceptual colourmap algorithm called CubeHelix — [read all about it](http://www.mrao.cam.ac.uk/~dag/CUBEHELIX/). It makes nice colourmaps like so..." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "url = 'http://www.mrao.cam.ac.uk/~dag/CUBEHELIX/G35.6-0.4-vgps.png'\n", "Image(url=url, width=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Reference**\n", "\n", "Green, D. A. (2011). A colour scheme for the display of astronomical intensity images. *Bulletin of the Astromical Society of India* **39**, p 289-295. [2011BASI...39..289G](http://adsabs.harvard.edu/abs/2011BASI...39..289G) and [arXiv:1108.5083](http://arxiv.org/abs/1108.5083)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ian Heyward's single colourmap" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So says Dave Green, inventor of the CubeHelix scheme: \"Ian Heywood (of the University of Oxford) has implemented this for python (with matplotlib)\"" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib\n", "import pylab as plt\n", "from matplotlib.colors import ListedColormap\n", "import numpy\n", "import matplotlib.mlab as mlab\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Generate the difference of a pair of Gaussians and store this in z\n", "# Example image stolen from matplotlib example gallery\n", "delta = 0.05\n", "x = numpy.arange(-5.0, 5.0, delta)\n", "y = numpy.arange(-5.0, 5.0, delta)\n", "X, Y = numpy.meshgrid(x, y)\n", "Z1 = mlab.bivariate_normal(X, Y, 1.0, 1.0, 0.0, 0.0)\n", "Z2 = mlab.bivariate_normal(X, Y, 1.5, 0.5, 1, 1)\n", "Z = 10.0 * (Z2 - Z1)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# RGB values for Cube Helix by Dave Green.\n", "\n", "r_chan = [0.0, 0.0080199999999999994, 0.015779999999999999, 0.023269999999999999, 0.030460000000000001, 0.03737, 0.043959999999999999, 0.050229999999999997, 0.056180000000000001, 0.061789999999999998, 0.067059999999999995, 0.071980000000000002, 0.076550000000000007, 0.080769999999999995, 0.084620000000000001, 0.088120000000000004, 0.091249999999999998, 0.094020000000000006, 0.096439999999999998, 0.098500000000000004, 0.1002, 0.10156, 0.10256999999999999, 0.10324, 0.10359, 0.10360999999999999, 0.10332, 0.10273, 0.10184, 0.10067, 0.099239999999999995, 0.097549999999999998, 0.095610000000000001, 0.093450000000000005, 0.091079999999999994, 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0.99739999999999995, 0.99868999999999997, 1.0]\n", "b_chan = [0.0, 0.00662, 0.01353, 0.020719999999999999, 0.028170000000000001, 0.035869999999999999, 0.043790000000000003, 0.051920000000000001, 0.060240000000000002, 0.068729999999999999, 0.077380000000000004, 0.08616, 0.095049999999999996, 0.10403999999999999, 0.11311, 0.12223000000000001, 0.13139000000000001, 0.14055999999999999, 0.14973, 0.15887000000000001, 0.16797000000000001, 0.17701, 0.18595999999999999, 0.19481000000000001, 0.20354, 0.21212, 0.22055, 0.22881000000000001, 0.23687, 0.24471999999999999, 0.25234000000000001, 0.25972000000000001, 0.26684999999999998, 0.2737, 0.28027000000000002, 0.28655000000000003, 0.29250999999999999, 0.29815000000000003, 0.30347000000000002, 0.30843999999999999, 0.31306, 0.31731999999999999, 0.32122000000000001, 0.32474999999999998, 0.32790000000000002, 0.33067000000000002, 0.33306000000000002, 0.33506000000000002, 0.33667000000000002, 0.33789999999999998, 0.33872999999999998, 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0.96450000000000002, 0.96187999999999996, 0.95933999999999997, 0.95689000000000002, 0.95457000000000003, 0.95237000000000005, 0.95033000000000001, 0.94845999999999997, 0.94677, 0.94528000000000001, 0.94401999999999997, 0.94298000000000004, 0.94220000000000004, 0.94167000000000001, 0.94142000000000003, 0.94145000000000001, 0.94179000000000002, 0.94242999999999999, 0.94338999999999995, 0.94467999999999996, 0.94630999999999998, 0.94828000000000001, 0.9506, 0.95326999999999995, 0.95630000000000004, 0.9597, 0.96345999999999998, 0.96758999999999995, 0.97209000000000001, 0.97694999999999999, 0.98216999999999999, 0.98775999999999997, 0.99370000000000003, 1.0]\n", " " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Fill an array with 256 RGB tuples\n", "ctab = []\n", "\n", "for i in range(0,len(r_chan)):\n", "\tctab.append([r_chan[i], g_chan[i], b_chan[i]])\n", "\n", "# Create a new colourmap from the ctab array\n", "cubehelixcm = ListedColormap(ctab, name='cubehelix', N=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example plot, compared with the built-in 'cubehelix' and (added later) the generator described below." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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f0WbqP49sN/UwqA2K9fc75Hl0XJ+QoRxaKsfDAHyKn/9pAL8N4IlzNeZYmTq1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qxDOt7DDO8bynG3r8NeUw70pVBivW8NF7af75W++AU2vvcOI6Rty6CPGNcTzdE3I9EcfngG15Yf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\ndX5JCCHDoJgghJB1YbM6QghZnb025aCYIIRsHwWE7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(18,6))\n", "\n", "ax = fig.add_subplot(131)\n", "cax = ax.imshow(Z, cmap=cubehelixcm, interpolation='bicubic')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_title('Handmade cubehelix')\n", "cbar = plt.colorbar(cax)\n", "\n", "ax = fig.add_subplot(132)\n", "cax = ax.imshow(Z, cmap='cubehelix', interpolation='bicubic')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_title('Builtin cubehelix')\n", "cbar = plt.colorbar(cax)\n", "\n", "ax = fig.add_subplot(133)\n", "cax = ax.imshow(Z, cmap='viridis', interpolation='bicubic')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_title('Default function')\n", "cbar = plt.colorbar(cax)\n", "\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fine, but this is just the one manifestation. We'd like to generate arbitrary CubeHelix colourmaps. On to the next one!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## James Davenport's full CubeHelix generator" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dave Green: \"James Davenport (of the University of Washington) has written a full implementation for python, [available on github](https://github.com/jradavenport/cubehelix).\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The parameters are all optional. All are scalars except reverse, which is Boolean.\n", "\n", "- **start** — Sets the starting position in the color space. 0=blue, 1=red, 2=green. Defaults to 0.5.\n", "- **rot** — The number of rotations through the rainbow. Can be positive or negative; negative values correspond to Blue > Green > Red direction. Defaults to -1.5\n", "- **gamma** — The gamma correction for intensity. Defaults to 1.0.\n", "- **reverse** (boolean) — Set to True to reverse the color map. Will go from black to white. Good for density plots where shade~density. Defaults to False.\n", "- **nlev** — Defines the number of discrete levels to render colors at. Defaults to 256.\n", "- **sat** — The saturation intensity factor. Defaults to 1.2 NOTE: this was formally known as \"hue\" parameter.\n", "- **minSat** — Sets the minimum-level saturation. Defaults to 1.2\n", "- **maxSat** — Sets the maximum-level saturation. Defaults to 1.2\n", "- **startHue** — Sets the starting color, ranging from [0, 360], as in D3 version by @mbostock NOTE: overrides start parameter.\n", "- **endHue** — Sets the ending color, ranging from [0, 360], as in D3 version by @mbostock NOTE: overrides values in rot parameter.\n", "- **minLight** — Sets the minimum lightness value. Defaults to 0.\n", "- **maxLight** — Sets the maximum lightness value. Defaults to 1." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from matplotlib.colors import LinearSegmentedColormap as LSC\n", "from math import pi\n", "import numpy as np\n", "\n", "def cmap(start=0.5, rot=-1.5, gamma=1.0, reverse=False, nlev=256., minSat=1.2, maxSat=1.2, minLight=0., maxLight=1., **kwargs):\n", " \n", " # override start and rot if startHue and endHue are set\n", " if kwargs is not None:\n", " if 'startHue' in kwargs:\n", " start = (kwargs.get('startHue') / 360. - 1.) * 3.\n", " if 'endHue' in kwargs:\n", " rot = kwargs.get('endHue') / 360. - start / 3. - 1.\n", " if 'sat' in kwargs:\n", " minSat = kwargs.get('sat')\n", " maxSat = kwargs.get('sat')\n", "\n", "# set up the parameters\n", " fract = np.linspace(minLight, maxLight, nlev)\n", " angle = 2.0 * pi * (start / 3.0 + rot * fract + 1.)\n", " fract = fract**gamma\n", "\n", " satar = np.linspace(minSat, maxSat, nlev)\n", " amp = satar * fract * (1. - fract) / 2.\n", "\n", "# compute the RGB vectors according to main equations\n", " red = fract + amp * (-0.14861 * np.cos(angle) + 1.78277 * np.sin(angle))\n", " grn = fract + amp * (-0.29227 * np.cos(angle) - 0.90649 * np.sin(angle))\n", " blu = fract + amp * (1.97294 * np.cos(angle))\n", "\n", "# find where RBB are outside the range [0,1], clip\n", " red[np.where((red > 1.))] = 1.\n", " grn[np.where((grn > 1.))] = 1.\n", " blu[np.where((blu > 1.))] = 1.\n", "\n", " red[np.where((red < 0.))] = 0.\n", " grn[np.where((grn < 0.))] = 0.\n", " blu[np.where((blu < 0.))] = 0.\n", "\n", "# optional color reverse\n", " if reverse is True:\n", " red = red[::-1]\n", " blu = blu[::-1]\n", " grn = grn[::-1]\n", "\n", "# put in to tuple & dictionary structures needed\n", " rr = []\n", " bb = []\n", " gg = []\n", " for k in range(0, int(nlev)):\n", " rr.append((float(k) / (nlev - 1.), red[k], red[k]))\n", " bb.append((float(k) / (nlev - 1.), blu[k], blu[k]))\n", " gg.append((float(k) / (nlev - 1.), grn[k], grn[k]))\n", "\n", " cdict = {'red': rr, 'blue': bb, 'green': gg}\n", " \n", " return LSC('cubehelix_map', cdict)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a nutshell:\n", "\n", "- start or 1st param is the starting colour: 0 is blue, 1 is red, 2 is green. Default 0.5.\n", "- rot or 2nd param is the numbers of rotations: 0 gives a monochrome ramp, -1 goes blue > green > red. Default -1.5.\n", "- start or 3rd param is gamma, default 1.0.\n", "\n", "Test this out..." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/matt/anaconda/envs/recipes/lib/python3.6/site-packages/ipykernel/__main__.py:18: DeprecationWarning: object of type cannot be safely interpreted as an integer.\n", "/Users/matt/anaconda/envs/recipes/lib/python3.6/site-packages/ipykernel/__main__.py:22: DeprecationWarning: object of type cannot be safely interpreted as an integer.\n" ] }, { "data": { "image/png": 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1JyfFEcniArsDinUwojPP+HZT2xI0ch5KPjsOLHI40U8DMVAxLmU3J8URyeIC\n7A4o1sGJbLsVKDH0upN+d8PnaQ4v1gKLHFb000AMVIwqOCn23YprkcUFdgcU6+BDvq4PJYZgRM2E\n+hQT+snrgEUOK/ppIAYq1kih9oc2VsZm7aXFqvpm4KMGlv8e8KnX36Lr1zpAMdc9MQVOdLff/HrD\n7QpagQc5vBgBFn1YMcVVYaAiKKR77Fac6BhkcWE9FJjrnpgCJ7rbdF97ak0K1fDbXIUH2bk5Aiz6\nsGKKq8JARZRyWUONHrQsLrB5mM5N2+ebTIET+f59IDH1J5d+myunartgFFj0YcUUV4WBCiB8DJc0\n1OhBy+LCekAx1z0xBU5UHbjRhxbTrlGruF+pvdSDkVM3BxZ9WDHFVWGgIkgR6nr7dI996fiwyglo\nF0AxB04MgYmpqR/rFJwPufIeyCqwmAsr+qAi7TfclhsCKm7GHdMbrV0AxRw4MQQm5tSoWNfGLjwY\nGVdQ0sM8WDGl2Ga7/iaACt3qezIdmXYBFHPgxBCY2JQaMlX5yB6dY6wCi9mwog8qYBxW3BBQYZcL\np69dAMUcODEEJvpAYpsRPmqpOyN7rB3xh/mwog8qYLxOxU0BFVdcOPNKZJDimnXZgGIdnBgCE+2y\n/mtPUwopdTafQ4uwPPVC0oXOOKwYSgGZm/5x8qBC9UY4KW6yLhtQrIMTQ2BiaL+x1x7SEEzoztcZ\nUIjn6hpYsel4eftuKqhQBX8zbN03V5cNKNbBiSEw0ey3pZuigQnaBRVpvtasQxJm1sKKoRSQuekf\nJw4qlNbEYjpNXTagWAcnhsBEs00vQE11UyQXRSXttXsOLSrq1mnRO42HYMVQCsjc9I9TBxWqgq+P\nr8t/fC0+Ys0BFGPpHUPuiU1wog8m8jAy5KToh5ncIJS2L7PtCrrQYuV2xwisGHJVGKgYljkpTldz\nAMXY80HgsAFOjD2Otan/2l1nQ1rmRoFDq55XuwcrhlwVBiqG5c1JcbqaAyjG0jsG3BMb4UQfTGSH\nGPw7NDa0aN4cJ930jxw4pMfmOCOwYshVYaBiUHa5cLqaAyjG0juG3BOb4EQfTFSdNJDVYNVfVmZ3\n8dO6Ul0n/SOHFo367qmoBCuGXBUGKoYkqDkpTGPaFlCsc0+sgxNjYGLISbGJfQ5BixxQVLTQogss\n1sOKtD53VfRBBUyvU3GqoELMSXGy2hZQrHNBrIMT44Bi3F0xtX0BKNTZfAsthoHFMKxIYSPfpw8q\n0vq8LTf8MEjiAAAgAElEQVQRVNyQwpk3T9sCijXuibVwYgRMyJCTYhMY69/GF2mPE4FEAy1yYLEJ\nVvgENbJ9+qAirc/besNAhepuQ5CaDlfbAop17ol1cGIMTCTIkIOITQMBrEALXBdWiG+gxSCwGIEV\naXnuquiDCphep+JkQYWCr46vy398LT5CXTWg2AQnxoBFnVItJr2LVkXzqCtgIgELWA8rCpUMbugK\nqID1dSrWFdQ8OSmI+bpPTlcNKDbBic3Oinm/uQQCunCh7gCLdPwxWCEiKLriqth2NJBTlrK5v2g6\nQl01oNgAJ1bAxBjcmCqXPdbaQoscWHhdDytceA8rroqpdSpuUFyA6dk4puPRVQOKTXCiDybadavA\nYoqSs6IBFGSgIj6irIUVpa6Cifw5rK9Tsa6g5ulJwB8flb1J39DBaRdAkbsnOsubY68+70OJSoch\nRd0DAEWvnQlSlNJ9XqAdYLEWVmSuiiFQkT6DdekfQzpNN4Xi6u3GnjYdn3YBFDlg6AKJLpwYXjcM\nLcba1QcCIl2IkEOLHFishxWtq2IIVPT3mwomTtJNoeakuFHaBVDkgEGz+T6cyMFED0q0oKPfjt7z\nfrpH/BvecUKk18iAxXpY0boqBkFF+gzWpX8M6QTdFMqNGYLUxG6AIndP5GkdfTiRg4kVWBH/7i/7\n/RnpPi+1GxcWcX2prZsCgsOiBRYbYEV2yCFQkd7vuvSPIZ2km0IFtZoUpr42WaDa7TYDinXuiSE4\nkTsmalahRIIRvlk+fLG/pAsqUvuSq7MASlFqhCLbtg8rWmXRRbST/rEOVOS6SWkfId1j/VjYpuPS\nVJfCFECxzj0xBCfWAYvu4/DIH7lyQJBDifCoHRdFv4jmMDTIPNtZ+seU2hTrlqf3c2qgwiDFiWlq\n53ICoFjrnhiCE73tV6BEz1kxWiepju6Ipk0JMCSYIF3Q4GJ7+7AiqfNcuukf60BFrhuU9qFA7Ufe\nq+kotc5F0dluAqBY554YghO5YyJMXShR9erl9eFEI+mCiopUoy48LkQpVRoXRanhGqAPKzrnd99F\nFZetAxW5blTahwLL4+vyH1+Lj0hzR/KAVUAxlt7Rd0+MOScSnMidFF5lxVVRD4CArsL6IkKFghZe\n1KI9YEEHVqR2lnSLawYgQSf9Yx2omJP2cVqgQi3d44Q0dySP/vIOaOgBir5DYny5ZxVkDAGLab+7\n0Pn3GaCQDphIwCJfBn4FYKR9w+u26R/rQMWctI9TAhW5c8Z0Apo7kgesAoqx9I6+e2LMOZHgRG+d\n9ADFppSPpqZeggciLbzw0gUWCTYkWJG/ZcmOk+pX5Okf60DFnLSPUwIVuvHrMR2R5o7kEfbpAoqx\n9I6+e2LMOZHgxBLtQIlVQLHhzTTuifC0DJbJACeQHrDowopw/LSsaJaVWgTYkqV/rAMVc9I+TgtU\nCHKE8NIgxR40luYxB1DkdSb67okhOJHARA4lWgdF+OvsN4AKJ8pSocCzjM8LoYEWObDow4pi8IgZ\nBt0AKvLP5cbVp1BFanNSnLqmjtyxDlBsghHrnof95oOKMUCRluVwog8rwj5jPYTNoCL/XG5cfQoF\nb2MNnr7G0jzmAIrcDdF3TwzBiQQmcijRgIrwQptGnArFMYEEBZ0g6RpDpAsscliR0kDSMXpFNyeB\nivyzumH1KZTV2qWm09NYmsccQJHXnui7J4bgRJU9hmPRIJQEKDYlJpcQgQKAsgDKeLxSpAMsOrAi\npoE0GnJVbAAV+Wd14+pTKIgVzjQljbkoNg012l82Bii2gRMJTNS4FlCo4HtpH0Ny0t6NcbjoqIig\nAh/cDhKKXfo1sKIGzrM2t7Uq1oOKm16fwpwUp6GxDv+m+g/9ZWOAYhs40Z9vj7sZUiQYEeYlAxWu\nByj6cGL1uXNFAxdyt8U6UHHT61OYk+JENHaKratD0SxrtxkFFNvAiWaZ7zoperBiUOIyN4XvOinE\ntcBCBNVxWCFe0NKFXndeq2ITqMg7MDewPoU5KU5DYy6KTUONhmX1ynwfUGwDJxKYqCQvyi/NfLXm\nb3Cpyu00L6FP8HCcLxUWKGW8vi9ZAyvEccsTRgLJr/M3gIobXZ8ixtljk0GKK9AudSjW1aCYAihu\nRyjRhxNLLcKyHpTw2gKLKU6K9OjEh0dVljgWzuN1GFaEwJGuGkKQWnVWbA8qTt1NIaq4+mLfzTDt\nqF3qUKyrQTEFUHjvB9al5QNuCqZBCugVyKSFEgDOFT0g0c47lwBHdHL5OkKGfk9hO1Bx6m4KVatJ\ncRLapQ7FuhoUUwBF7YfhRF13n0OAEpm7YhM4V5eK4EawIC46KTxaOPAjsKJ0kX8IOEUqv1qrYhdQ\nceJuCsVqUpyCdqlDsa4GxRRA8VCEFH048ZCkfkcXSqRl0Na+G1OZRu9LMELDzcvbAucoJcOw4g7a\nGyIoPOyqpthm51zfElScvJtCwS2HPe2HrBP+Rg5Pm+pQbAsoLpCOe2KpbhRO5GBiHaRQdUhvSKFB\nSBHnvZfGYeFEWUjdwArEd1wVZyOfw1xQ0f9sh0DFabgpFHTuQLGmY9GmOhTbAgrv68669vkqnMjB\nhKqHnquibdOqC6EzmkfujshG58jBRA4xcleFc+kP6NAtzemgov8ZDi8/DTeFGSlOWGNf7q6Aouq6\nJ6T243BCc4iRtksdhax93oMbjgs4F9M7XAMsQpFM36Z9FEULK6DrqihpalXsBCr6n+0QqDgFN4Va\nXDhlbapDsS2geNhVHffEw+JH4UQOJqrozq6am4ZZOrY6il4/oog/zpLgwi5FI7CASluHRSlwh7aw\nIuzTuipu+XIw3SOfnwIq+p/tEKg4BTeFAFIfH7w0SHHJmpvmMQQomn02AIqLLL3jInNPXEQAsdSi\ngROVL1bAhFdB47z6NCzg8I+46VS4ACekBynSfOlqnCpehIXU8f05fLhSCpajGaAifSZDNSqmpn0c\nvVRxVpPiqDU3zWPsMc2vAxQ5gOjO1yvwwmsLLugcd9VdMaT+MKNt+kYXWDgJjgpVH90V0uyX4IT3\n9WRQkT6HuYUzT0vh+zUdseameQwAis426wBFTJkQ1TBGZXJPRDeF1HUHVqyAif4jjKd8NHUoEpiI\n520fWCQ44RUtigAwSNchDnGgqer2BFDRfA5DNSpOAUBMUHBS7LsVpl00N81jCFAkbQIUD0vVpHc8\n1IAJ5WFRlsDD0sKJh0VWwESNUKtrHgG8Dp9oLgKLQnyoVSeeIoKIHFjc0tjXEeUWwVkBPlzvx0Ka\nD7tqMqhIn8lQjYqpaR9HLxWK5fEFwGv/ZkTkjwAvyxZ9KPBC4F7gy4Dfjcu/UVVfcc3NuxYN1aGA\n3ogdEwFFnt5xgbD0jhrH0rsOnMghRe0L1Ds0AgsA9dIBFAlaiGv/2oloM/yXE4+IUhR1AyxKV+NV\nmnkAF/5kxgKbLkv/CM6KYVjRggpUKOk6JeamfRy/m0Khvr15syOWxYUJjgpW3RJjgCJP7/DerwCK\nBk74egVidItn+k67EqzIXQj5cKKrjglBXIEmt4QUnf3zR+dcTPlYTQVpFZcJHadG+pzmpH0cu5vi\nJqR7WFxgHGTkhTKnAoo8vaP2EVb4dnmCE3XdAolm3ndTP3JA0S9uCQFUZEUzEQdF0QKLItSgaWAF\n7U0S0eCoaNI/KppQsA5UiNPu8KYwP+3jBGDGqad7WFwYrkMBXWAxFVDk6R0Piw/OCYHbPThxW4sG\nTFxoQa0Ory4rvt86s9NzaOFEmNcWVuBx4jmTugEW54SbmwlWIMlZrk2BzZT+kVI+buVd2QFQAaym\nesxM+zh2N4UoFMvjiwvXDilU9TeApwOISAH8DvATwJcA36Gq33rdbbosTXVRNMt7LoowPx9QpPSO\npXeNe6JS1wEUdZxX7yKkCFAiwYpUUGXVSZE6FemCQBFRvAuQovYFhasR5zuAwqvgXU0pvnFV4HyT\n/pHqVFwgK6Ai/1HWGahIn9U2aR9HLVXkxNM9TjkuTHVR9Jf3C2XOBRQ5mOjMa3RXZMvb7XtOClZT\nPnI1jghaB4WI4L1rHBMupXxEWKHqYpFM3zgn2hoWAU4E93gXVPTdEglUpOfbpH0cu07d1n3KcWGy\ni6JZnvZr128DKJr0jsq37om6htoH50RdN7CC9FwzSJEDijEnT1OPwjWFMhEXjhVBBemcTLBCHVIU\njatCoE3/aOpUxMOSgYqeW6IBFemz2ibt45h1A9I9TjkuTHVRtNt3XRRpfi6gSOkdD0nrnnhYJIAK\nFW5TBDARHRNLLTNXtmsm2OykCO5r37iwl+JZSEUhnlqkAysqlFuqjauicVRAU6fiYaoVUFFkle+q\nCHSa4Ui3TPs4aqmle2yjTwX+i6r+1ileQA5pXZrH2NA9mwBFnt6xjHCi8iFgVBFK+LoIQaR2AUzU\nroEUedVXHSHwyUGBUxBFnEcKH4GFwxUeda6BFWV0YHhxjasi9Dd8tGu1oCLvfhfQUFPI4URYtm3a\nx3G7KRT8boUzReTZwHcRPuJ/qKrf0lv/xcD/SfhjD/A9qvoPd3rR7XXj4sK6NA8dgZybAEUXUni8\nhmVk67sOC99J/2jSQJiS7tFCipDaIU36RgIETsMIHt6Bem1cFRAKbHof3VcRTrTA1CNSZKCkdUCs\nG5p0Cpg4djfFrukeFhcOXGvSPGQNzFgLKPL0jjpAiC6sqKGuIvDIHyOcUG0ghY78/qQDKZKLogyP\nvgJXtnUsVJGiiM4JbV0VAKVDat8FFZFdCqBFBioyYLF2aNIpTokjdlOEdI/dzg+LC4etdWkeOazI\ntQlQ5OkdtxOgiC6J2zgutGDpy5Dm4YvYvwigQmN/o00bHz55Up27kDbuEecpXYUTTyUFpauDqyHC\ninP1IDWV0LgqINSqeDgeK4GKSn0DIkst2s8hAxbrhiadkvZxzG4KUSh3zBrfR1zYN6T4fOCl2fMX\niMgXAa8GvlZVf38/zZqvuS6KsW2GXBTdUTxWAUUqjpkDiuSeqOvooqgdvi7AS3hUQSsX4EQ+NM3I\nNW8TcyKkoPRoHeZdUaPed2CFFnWEFTFQZPmiqU5FCyratI9ueG3TPvr1KdJndTPcFPEicUvFOw3/\nN/BngAeAV4nIy1X113qbvkxVX7B9Oy9NJxMX5rooxrYZdlEMjdSRA4gWXCRAodm6DqggTwmpBtM+\nhrSa5lHgpW5qTYTXb2GFqsepR1zRdDbaY7XnbEr9SE6L1c9ruD5Ff77/eZ7SRazueMfU4sIeNddF\nMbbvgIuiO4rHAKBIxTFzQNGffNU6KOoKVNG6al0UGyBF30khRQm+jqkdZbiOyGGFjy6OBCugBRWp\nTgW0qR+xRgVT61NAczkx+JmfUFyAbibOXFlc2J/muii6+26qQ9EdxaMPKFJxzBxQJPfEhRYstYz9\niwAm6jo6KeoyOrLjiD1MudnpQ5p4UVG7EieeoqjwWnVgRWi7cE7dubEJbZ0KoEn9SDUqqggjNtWn\n6M/3P/NTc1O4HeDlvuLC3r4BETkDPgv4hrjoe4FvJvycvhn4NuB/Htjv+cDzAe595HERrTEXRZgf\nT/NYHcWjCyiW3jXpHQlSJPdEXYdHTZCidiGA1BFQVBFQNHdserAi/YFv0j2IgMKFC40iOCeoW1ih\nRUgl8YXE/LSqc6xFtHHljopCgEE3SQsqhtI+GHk+/PkfqZtCFfxONSmeCbxJVd8MICI/AjwH6AeX\nvesy4sIj7n7CtbT1sjTmooBNaR6ro3j4IQiRpXasTJo7KgZARTPkVxdWNO6DLN0juSFaQKF4qRtY\nEaaw3GkWT+JLNPtkjoouJFlfnyJ9djfHTbFz4cwbFRdu3fO4a2nrpWnMRcH6NI+hUTw6gKJOKR2+\nByiqHqSowIe/6fgAKBKoaKBlz2nVOJzymjOuDPvHeVEFqVpY0YCP0G7J3nKYL0KaacdRIWGZ1831\nKdJnd0PcFKqC381JcaPiwuPuuvNa2npZGnNRpPm1aR7ZKB59QNHAiVh7IndP5ICirsOkEVDgHVrF\nG58RUrQ3PVNNmhgnIqQQ59GiRusSXIAVXh21lA2s8M7hpaJ2Qi0CWnVBhYYRQnJHRRXXV6kGxgCo\ngNW0j/yzPVU3hXgoL3bKA9tLXNgnJvo04JdU9R0A6RFARL4f+MmhnVT1PuA+gCc/8Y6Dzryb66Lo\nLu+7KKQ3igdNIcwhQFFVi8Y9obVD6yI4J2oXwETlwh/hWhBPB1T0RgyKLop4d8IpWhchSDiglAAs\nIqwQrUMaSQYULgCfLmo6dzhCjYpalNsqnEv38xgb0XeKm+K0pOw4BOmTgLdmzx8APnZgu88RkU8C\nfhP4GlV968A2V62d48ITHv8RBx0X5roo+suHoMXQkKJDgKKuqwFAUdF3VeQFNcdSPvqpHqoliDTA\nwrnMQeHatvbeUDjRs0O3UKObMtJ3Twx9NpvcFKemHXPPb1RcuOeDn3rQcWG2i6KzXNs0jwgw8lE8\nGldFKo7ZBxTLZeueSHCirsBX7aN61LduiilxQcUhrgyPDbAoW1jhPGi5cutfVHugAihd+z7waBh3\ntK1Pse4z2+SmODHtWE/3RsWFpz7m0QcdF+a6KHL1AcXKKB6EFI9UHLMPKB72Zw2cSIDCx0mrAupQ\nhJ+qQLwgvnVl9+sfaJFAooZ+RFmjLqSO10WBL8sGVvjCRVARj+EAgVp9AJy91I/wPhRczS3fdbaX\nI6knU9wUpyY39vdjmvYSF/b5rTyXzKIlIk9U1bfHp58NvH4vrdpCY6ke3W3muSia5QRAkaBFPopH\ntwZFTPOoFiHNY1k27gldFl04UQtSAT49RjDh40VOT5oFCnUShgUrBS0V6qIZ3DiMaS7xzkuoCuzU\nZb+ysjkOsFKjIrlFUupHCynmuylOK+VDQdc6KR4rIq/Ont8X/wgnDZpce8//BfBSVb0tIl8BvAT4\nlK2au5tOJi6MpUh0t5nnokjHXYUVvuue8L4DKBKcqOtlAyfqetmrTVE3DopuyodvHRWZhBxSOESW\nOFdGqFDjfYFzBUURj+Pa46zAih6oSGpTRoZqVcBcN8UpwQtV8OvHGrS4cIiacqE410VBVocireuN\n4tHWoMgAxXIZHqsEKSo0zjdwIk6ox/vMSaH1YIxrXVZFmBeHcyXqSsRXDaRAz0IaiEZQ0X+f2dtv\n0j2aZa51d6bl6de8jZvixFI+NjgpLC4coMZSPTrbzHRRAG2aR5yWdEfxSDUockDxkF+w1JKLetHA\niao668KJqkASnFi62H8INz1l4PeXXBTqiHCiQBceLT24AuqauijQRaybVwRYEd6vA3cRT/RyBVQ0\nAVMdpXQLaea1Kua6KU4p5UMUyovju17Yy6cvIncS8lq+PFv890Tk6YQ3/ZbeupPUkItiKM0jr0NR\nzwEUVRncE8siAgpBlvExOqekSnddaO+0wEq6hzoBJ8ThyyOkkHATpCTYunx0VSzqbBiiiopFyyea\nIcniUESq1AIOoYpBpyb0WVL4HfqRbuumOMqUD/Wof3jdFg+q6jPWrH8A+JDs+ZOBt3VeQvX3sqff\nD/zduc3cVRYXgoZcFMOpHvlQo71UD61HAUV4XjWPXmt8BixCAc0epNAuXGhG9WgARXA4uOh8CLAi\nQIkwikdJUZTjLhJJRe7iHdjopGjhTHieCmTmbeh/TtsAiWNN+dgwBKnFhVPS0PXlUJpHXofCaw9Q\n1OOAoloGMFFfoHWEE/VFAymCk2LZxoMBN0VnaOEsNqhbIK4MsEI90owWUkJx1hYBLSHvq0kc3QOI\n8EEQ0TCksdO2kCbSfgZDropt3RRHmPIR4OXaTSwunJCGXBRDaR6doUZFO4Ai1KAYBhTLCCf88gyt\nCrQukIsSqRyyDO4JV0lzs1M8JHaS+hPhRqegRYIU4e+9rwQtXYAV3kHp8N6hZYkuLrJRQi54mLMG\nVBRZqngZb/AmZ0gVa1VUGq71q6ZY5qo3e1s3xTGmfIgq5XItpDjIuLAXSKGqHwAe01v2l/bRlqtS\nDiCqHoxY56LIl4fjrNahqHFhmNGmSGZI8UiAwsdAohcFLF1wTywFSXDiIsAJUZDKgweXbKGsuinU\nCYigTprgonUoYNXCith5SEHJS3ZN1YKKKg01KJ6ld/ECoKaIw4qiQpGlffRH++i7KTZ9B6fhplB0\nt3SPVwFPFZE/TKi6+/nAF+Qb9O5AfBbwxl1ecBvdhLjQcUr0OuzrXBTtNi0s6MOJ5rmu1p6o6yW1\nb2FF66JIj1UDMTTeMW0dFfE1e72kMOxoD1K4GqdFB1ZQLAadIp1jSYgX4qSpSZGWJ+dEDiz6o330\n3RSbvoPTcFMMpM/Mk8WFQ1H+PfavI9e5KNLy/qgfeR2KVO9hqEhmtYTqIqR3VBdodQG+wtfx0Vdo\nfbuJAwlWBIhZx6avpnuIFN344KropmhhBcUZqA83R+Mj0AUVIk06h9R9YKHB1emlTfvoj/bRd1Ns\n+g5OIi7A6lDys2Rx4UCUp3okF0X7fNxFkZRqM1QZnEh1KCqhHWZUsxE8IqC4qM9C/YnlGX65CO6J\ni0WEEw53EfsUHtwyxCBXtTc6h/oR7RTP6UXoO7SwwqFnAhquB5oaF0AOKopUk0I8txtHhVJqTPsQ\nGjgDq6N99N0Um76DU3BTiEKxWw2rvcSF4//k96wpqR5JdWZPnOOiSGke6bEtlNmO4pFqUDT1JxKg\nuIjpHRcSIGSlSB3gRJj3Yd6HC5mhdA/IQEVZhCBTaQATEVb4s3CXQ88AQopH6E5kn5QUzbWHizUt\nClU8woVIJ+1jipsiHDWkeCQ3xZQCmscnRXWtk2L93qqViLwA+CnCx/piVX2DiPwN4NWq+nLgq0Xk\nswg/w3cBX7x7u2+upqR6tNuOg4u0bMhF0U8F6aRu9GtQZCkeAVgs0RxYaNXAivSomupS+NH303ZC\niliLom7rUWhBEdtYFIvRzyUBgwLwEm2jEU6kwpB5nYpNbor0meXDkp4OmGilyk6FMy0u7EFzvq48\nFMxwUTTzHVhRD9eg8FUHUDTOifoCX1+gfhligU+uq2ULLNgQFwhpHiIO5xch3SPCCopzRD1SnIX7\nFDFZugMq8px2144ipNIW0WzSPqa4KcjWpY7KETolNmqzk2L97hYXrl1TUj3abavB+WbZiIsipXmk\nOhRDo3jkNShyQKHLRag7cVHgbjtcvOHpluAqxVU+3OiM7i0ZG9VMXOg/lOHRVw5ftrCi9oBfoGdj\no4RcsKRsalSUEUgUmoZP7aZ9THFTpM+s0KJxU0wpoHlsCk6K7QPDvuLCaX0LR6Y5LooaoU7DjSLN\nOMVpFA9fO/yyDCkeGaCQZQAUwUGhuGUPTtQ1UtURUCQLZq+j5CRaNh2yrAKoKGJBzkrxZy6UljgT\nPNJePDjCegnVuROkqSPRdaIsVQfTPsbcFAlApOen4ZTYpJ2dFKjqK4BX9Ja9MJv/BtoK2aY9ao6L\nok37iKNyxLumHReFX1LXVQdQ+MxNEdZfdOCET3dREwQZ6JCkjkg7/GhJW4uipogOikIXq/tJgA1p\n/7A8xpkiwImhtI8xN0XiD0rotJ0akBjTjoUzLS4ckWa5KNJwpHUdtq9bNwWx1kRwUSy7gKKBExW+\nvo2vLzpwIsDMKtS7YRhgNuASh/MhLjipcFri/AKKM1Q9rjhvBvdxAD7cZBER0tCl8YCIc8ENUfuR\ntI8RN0X22YURQa7u+zkUKTs7KSwuHJHmuCiq6KB4WNrhRutsFI/KF1zUZyyrsw6gkIsSuV0gleAu\nhOJ2F05I5XF1HfoQ3sc41AMV6Rx2Dl06fFHgSocvHb5y1OcC3uF98GwqIGegTvHOU8eaGk5CHCyc\nUqIUUnEbGUz7GHNT5PUoAry4GV1ht76G1UbtIy7cjG/mmjWU6jFUMHN1v/UuiqUWTZqHVwlpHtkw\noz4fwSMHFBfglopcxICyrBs40dxdUd9Cij4FTRcMLuaZ1glSFOiiRHwAFR6Howcq6DoqxCl1XYQx\nksU1aR+F840boo51KXI3ReKfFcCNGNGjVegibu+kMB2GhhwTm9Ig0rp1LopUl6JN1egNQZo5JHJA\nkYBFgBVVTP2oWjeFVuROitHOSJxCike0dccOTFFM+6Mo4iKYqGOnRJrhTNv3Kituirb+ROjq3BQ4\nkVTvZt80HYKGUj2aTKY1FGqTi6Ku2zQP77tpHhFWtCN4ZICivh2gZX2B14q6vt3AiTpBigQo8O3I\nXVGugZcOh8NpSSFleIx1aopguQzb04KKvEAmEK476hpcHEEopX1IHAI9ve++myL/jLgZcKLRjk4K\n02FoKNVjqGBmX5tcFA9laR6VSifNIx/BQ+uyAyjcRQIUIa2juKhbOFFVoU+hAVKgMeZkUhfSwAKs\ncEhRoHUZim+eFYh31GcpCrgGVITPgo5nxJWeCy0oxFNE18RtDc6Kkna0j76bIo30UVMHJ8aJuSXW\nSVRZLKc7dg5FN+cbOiD1Uz36I3qEZasuCq8BAPgIKlIdijTMKHUskpmleHQAxbLGXVTBRRGLZkm6\nq+Lj8GIwCikkgYq6DGOc6yIAikUsRelZBRUukFOcos7h6wAmVB0+Fv50hVLjGjfFIvsMajQ4P9mc\n8nG62t1JYTp8DdWoaCHGuIuiM9pHrxZFm+YRnBTaS/kI8xcNoGhTP3InRdVpQ1JTHC91SFzsiCSg\nUWQApnfyNk6KGFdaIBGdIOoRdR1A0f9cRNbXlzjFFI9c+e/DdMLqc6gEJtjgosihxQCgwNehSGaV\nnBNdQFH7OK8Vlb9oIEUd4WUd/yb5XgNdhIUuxoVCS7yUFBocFMXA0KUNqEjXGd6FNhZFdE4kJ4gn\nFqJo3RTpDoYnwopVJ0X381yz7lR0g27i3FT1Uz36I3qkx76LIrgNwvV1SvMIgKJN8/DLM3RZhhSP\nHqAoLjzuosbVNe5iGeBEXSH1MpyXdegID14vuKLpS2ixQOsaWSxC6pcPFwnihaoPKkTxrqQWjzhP\n5S8iR/UAACAASURBVKtwY1MdtThuJzjRvL/WbZZgTamOCr8x5eNkpeCO8KaGQYodNKcexeq+bapH\nUp09DtWiyF0UXgX1rluHIo3iUbcpHiuAYlkhVQQU1UVzJ4U4XCEjd0xJAcaViMuqc5cLnPeoj8N8\nuAxUOEEToBAHRRgStRZFRKObwjfvx8fCmHWT8pHcJ23KxwmHkFGFC0JzUhyL5tSjWNk3S/Voj9d2\n9odqUeQuik59is5QoyGNo5vi0QKKur4ILgtfNR2TpqL/BCdFqtqfprYWRXiew4KwT5XtWzSQIiyr\ncSLZ8bqFM5vUDm1TPk4ZRqzThtE9TIekHa4PO6keSWl2pBZFx0WR7Nf9OhS9UTz6gKL2F1T+gjqC\nigApomMruij6oExEgksSRyElKmH4Ye89ylkbI4ozpG4tDoU4tL5ob4rEYQlzJ2cCmeIdKhoL2cSU\nj3ijQry2KR/FDY0Ldk/jaDSnHsXKvlmqR1JK+RirRZG7KMINUNetQ1HFUTxiDYo2xaMFFMWywi2X\nAU4sb0c3VoQUzbVI90cozZDEBeLK2IdI7otFC1fPCtQVNI4Kp6grwXm8lGhRUfkypon76KbwVCJU\nsTbFLUKR/gqlzGBFSvkoTxlGjEjwlNXFvpsxWwYprlGbUj3SY525ApKLosYNuigCqIhpHmmY0awG\nhVSrgEKWoaK3+qoJLk2HhHrQSSEUsUBeqNaPLxE9Cxc+i0XczOFiZ8E7h1RxJJAijuJRh7oWWki0\nbgc3hVdHrSH9o8YPpny0n0ewbxbZ822GIj0uKTW3990I0xVpU6pHeuyni/RBRe6iaNM+2sKZOaBo\nYEQGKOr6grq+QDMnRT/lI1c31SMNL1ii6Y4pZ812dby7IiJ4X0QgUWQuCofTon0d1QzY5K6RbspH\n93MK0CI932Yo0mPTLoUzTQeuTake6TH7CbTuCT/sovDapHn0AYWvbwdQ0QMUVQMq6gArIqjw6vHo\nYFxwBFBRSEUpJYXWlC7GEZfFBblo5r0vg5PCV8FJ4cvWTdHYyHMY4wnDBAykfCT1C2nmhTK1u+mp\nSFUGCg6aTkWbUj0gOSiysvXJRSHDLgqvrk3zyIcZXQZA4ZasAorlBVLdhtR/8MswUa+/XqBA3ALx\nFVKXUPpwozNd3zihuAiAAifoMt4gLQvUKXUdbpSWrop9h+CmqPDhBqcolQ6nfLSfR6hFUQ4MPzpn\nKNJjkqhSGKQwratHMaZ+qgfQUE6gdRpkk3qH+jC6Bioh1aOKaR4VuAtFasVdxAKZfUBRXwQ4UV/g\nNRDQfLhBH7GJS3AiTRpcFOLCenFx6DBxuGWFd3FYojIMdapOwq/ME0BKdFP4wnffUwINGocZXflc\nN7sopgCK8giTU0NNCrs1csxaV49i0z59V8Wqs6KX8qE+Oiuy4UnTMKPJtl0vo7OiCyh8Wh8ftRcX\n2h5Rtx6Fui7ISI+Co64vQp0JH4BEzTI6KGpUg4siuSnCKB5dANMeb/XcnQIgpgAKkSOMC7r5N2Q6\ncK2rRzGmgSH+UqpHWi8RVHRcFBqdFKqNo6IZtaMBFO35nwOKpS6ptWLpl1TxTmmldZPq0Y61ITh1\nwUmhghePSih8hweNHScRh/iLtviur5D6dqj+76sGUDRuCldm7yO+1+iiGLwwmHJaTOnHH19YAFbv\nM5mOS+vqUYypn+oR5kOaB4RRfSuIjoPWRRHSrgOo8HUJdRHSPJaO4sLhqggoKr8CKLS6DX4Ziuzq\nMrp+l+11AO11QKpRI1LgqBGtcbpAoBkNJAxj3g5V6qOLoy4cWhVQ1AGkRDdF6eoAJmJafIVyToAx\nQzEgr0sxpimAomCxcZuDk4I7QouVQYprVn8Uj9X6FKupHjUu1qQIAUXVoSrBQaHSuig8ARBUIDUB\nUNQet4xFbXJAUd2OFyjtGOhDwcXHv9LOlTgKnPOhHnD6K1iC+AhIXCzWmUBFEd0UVXRTlBqAig+k\nX73Duy58IRb1mRoC1o3u0V93jIAiSKnMSXHS6o/iMVyfYjjVI4xo0QKLZqSP6KJQukU0U92JNKJH\nDijqplheCylUW0jRwAdp4wLEUThiUTwINz+9D3dKRQSpQ2ckjPxRNC4PkaIFE6zClhZ8uFkd8nVg\nor/uGAFFkJqT4tSVf729UT2A4VQP7TkOEqCo61B7KrkoIrRIoKJxVmXpHQlQLKOTIkEKT7g72Vwn\nxHMzOSkLChxCLKFL6X3s8J8hWgVAgUPkonFiqSvjHdkquCm0zN5P66QQ79uUjyKld0z8PNed6v2Y\ncbxhAa3NSXHK6g5D2h3VA4ZTPap4bR36HS4DFEUDKLQK7mypXNOXCIUyYz+iqjqAQuvbqF8G91UD\nKaosLoRHJw4UCikRdRRa41w4r1OpTBGHi/2INFSpWxZoKchSoIxuirJu+kKtkyKAl5TyAQHQTIKV\nrAcTrrfuKAEFId2jqI6vH2GQYg9K9ShyjfGtOroDUqpHOwVQoXUBPnT8k4tCqpDmIV7D8KJ1HYYb\nixcAfUBRx+HFas2dFKGyBITgoT4tqUPhqwKcd4gv4rBhLhDYogivXbjgpvAE66HXpp3Bsh2mMdWM\noFBWf7RTimYeL6BITor1FN10/ErpDZ1lIx3z1UKavRoVEVRorDWTDx+YL2sdE9UAoMgLaNaxjR5p\n4kJIzwid/NZFke6aIC64J1yJizmqCZSE4rkJTPTbP97xXgcq+rDhVB0UucxIcfpq6lHkGvve8zSQ\nvvNAfShWEDv9CU4Em3YVYWZF7bv1J/qAoqKm1ppK25E9PIqLI2s4cXhVnEgAFBoARRiOtEI0uC1C\nKlkZYowEMCFu0dTFkg6cGBh1rP++x0BFv0jmlKKZxx0WLC7cAKV6FLn6sKJdHh+h4zyocU2qh/pY\nsDa6KFwV0jxCP8LjqhpXLUOBzHq5Aih8LKpbadVAy6YfoaHOlI9p3UpI8Sgd4B1OCsQXUDukLpGy\niMObOnwlSNne2BTvwg1OdU1faEzrQEW/gOaUopnHCigAUMX54+tHGKQ4IPXDy1i6R0r1aOBEdCeI\nJxbXCpPUPk4Vkg83lgGKysfhxRIBjXmm4fVrHIIQ3Buh6jbggntCyQCFlk3eqxSuzY31weER2hiA\nxRTGX/QiS9E8Du+dUj0SsMi3WwcotqlhsSl957Kl5qS40RoDF2OpHq0jYazIZqo30YUXOaDwebpH\nvEOSw4Ng0w4jcKQ6EM4F94REOCHiUEmdkGKluGZTe2Igf3VMqy4IGVw+tr5fwHPq60zRdadehD6o\nOSlurHo1KyRPAxlK9RiZWgdWHNknTnUztYDiItWjQIOjQrW5XoCY7hGBRbrJgYBTR4UgKvFOarje\ncL7CSfBb5EX3RD3qA6CQKS6JPniQ3mNfaXkKAfn5vg5QbAMvrvkUVXNS3Gjl6R7heXQWMJzq4TV0\n+lVD6rika3YfYolLw4zWdRi5I93szABFgprBYZUK63b7EQFXaByzIyhdL2gCFC6kebmqwBdFACRN\n3yZzYW9I2Ugqe9f3qWDmWOHM5Kgo4tCkuYtiHaBwWwxl6uV6gYGguPr4CvAbpDgA1Z15WalH0deK\nE6EJKuFkFs0KaPlUQMu3RTLjRUmyZyVAkYphAU2uqYuBRfEUxErdzYXNEtWyGRtZ4kWFRtup+O0u\n2vuAIin9WAsVSgKIKDswogso+nDisopqDh3nasGF1aS4iVotlNmtR7G6fb+OQ9+psAoGNL+j2ixr\n570uyWtS5OkeTdFMIKSgpc5O7HisQJThApxTNQVECGloUxlcn9o+5biX0b6rBhdWk+IGKv+76lfr\nUawodyTE59oDFP0pXBPU8a5o6HBUxNSxCCiCkyLdMc1qUsQplKISJO5VU1NqLy6QoGq9dVzQMWdE\nWu5AJRTx7sCMPqDo93suy00xdJyrBhfGLm+c8tEG86FHgcHxQ1acCNGhEKBA7EtEUCGxLyHex0L7\nqUBmHRxRYawfKq1jP2IoLmhMAynxwRuOFx8cVFJ3nVPeN6+7pk7oWvUBRVLRgIqSQgsKyo6Log8o\n+nBiGyAxpKHjXCm4UEXUnBSmK1CdnWyJIKpPj12nQhqmLJzgvs3p9NlFSVZ9Nx/3PFyM+JDjHuXx\nwS7V3DkNwaW5oIjWcdRPckjkEkl5rNpMadjRIpvKZl5aUJEBigAtZBBOXNdoH/3XuUxooShLjq8q\nr+lq1a9j0X8cBBITp+CsWHaW5Ve+ed+4Cy7bmjapEzJXCSJ0CvY2y9Iwpfmj9NZLZ34ITlzXaB/9\n17lcqGA1KUwD6hTjjL+PCC/UR4dCEx/isOP47jVABhc9GparUqlvHRTaIIbe6wNCs87FDgwUcS49\nn6l4/qoLqWTqJAMRcV6kXS50QEUzHwcOGIQT15Xm0X+dyzyNNXytJlOuzqiBsR+RAIVq152dAwpi\nX6KBCNpCxTQMcaVV66DYEBckIgqX+hFC46LapuKri86RUpRSlRKaYUcXCKU6Slz2WDSpHjmgCPPl\nIJy4LDCx8b30XudyoYU3J4Xp6pRsWVMkWREtSfQzgwr0OhTAakCJ0shI3Zq/3uJ61inJLhYgXhBo\nSBNxikicnG8BBUqBpwAW4ilFKWKl3gQqSgIMOI+AIsEJSNAitLEPDHapR1FtefWQt2FXYGGQwjSm\nVDRz0rZDzgZ6UKEXF8bvbnpUN6VM9B0LfeDgwqgfzXJZOzlXDM6nfV3vGOE1ugCj257tQcW2sGF1\n2NTtZekeplH5uXGhzlwNLUTw2fMcOI5dL+R3TsfUv5aQWPG/Gxcc4sJEhBLhMVxbBAgRnxeucUpo\n6Vo44eKyIocW6UWlne+HsF0A5rbndN6GSzilDVKYhpSKZk6R1F0XRZM2Bl0X1iXFhX5eVxrhozE5\nOAWnsQ/hceLjjU1PEZLPG0BRItxSR6kBUtzyZYATEVCUWnKm55mTonVPJDjRBwb9AppztG1NubwN\nOwML9Yh/aLdj7EFXyo1F5MUi8k4ReX227NEi8m9F5D/Hx0fF5SIi3y0ibxKR14nIx1xl2y5D11mM\n0cWT8roleW5pWpY6GtkUhiF0aFGEx3iRoCUxuACFh8IjhacoagpXU8Zp4XyYJICKM5QzAqA4B84j\nlOgDigLhnIISR6FpuWumcwqKuN26aUz5sbb9vlO7tnV1KEq95t+x6dTjwnUWYxRkt4vqreVW3mfH\n+UD3MUCFLEXElTE9I6xzrsDFkT6cK5De8wQlwnyEEs61ywcgR/uaQ8BjMxTZNELIlO3Wadf9oZsG\n1J+OTaceF661GKPbT1xIqR65hDT04OpjIWUTJwKYWDTXE7gSXBEei6IzhdHCXHh0AmWAFQhQOihG\nAIVIs66ZEvgYWjc2jSk/1raf/5TXWSclOGvHpiPTqceF6yzGGFzJ19+PGIsLQ30JnEPLMvQfnKAO\nfJkAhUeKiqKoKF3FQirOpOacmluqnKPcoXBLHQuEW77klgZAca4LzvVsEFA4ShbcQcECp2WYsiv/\nkjtwLDZO4++/e7ytPsPUrq1dHQq6HJ8OVKNhUEReISJP2fH49wPP7i37euCnVfWpwE/H5wCfBjw1\nTs8HvnfH196LugUbp/1BKDrzStm7815kzyWNM+7WVMB37R/JAAyyDkUGFUTieObhkqGZl+yfI2xT\nSEEhZXtRIS50710ZLyLChYSWBVo6tBT8IkAKXSiceaT0uKJuptJ5zoqKhXgWUkcwodwpnjPgTuBO\nApg4V+EuHOcapwggzjWbKBoocaYFZ1pQqNs4pe9tCrzYFVpsAytUlKVcjE7XKYsL2ynviE7tlPb3\nWecE6NyFHD1enj4hbeeA7gXDCmho3A/tlMMGJ4sIHXoQwpVhfZzScKOFWwTYUCwoikUHRKSpcGWE\nEO1UFGXzWBQJbDiKCC7aqWhgRj61YGM6oJgKL3aFFtvtF9I9xqbrlMWFLTW1YGOuXl0F7f9uOsd0\nq/usNCE6GWjP+XRjogMVmv/jJNJ9ni0vxVFKQSkubCdh38IV4VrChWuJPD4UxRniSqQ4Q8ozpGiv\nK5rri0UZYEQOKhYuuCkWDhYBUGghcbnEXNEIIMpsPk2O1qo5FVBMhRe7QostYYXW49N1yuLCduoU\nbJzYKc2vR8voIsiV13orJA0NuqYfUbRuBnJHE3T6EAlCtv2I8bhQSBHjQtn2N8Th3AIpFmhRokWJ\nLwp86fCl4M8UXSh6ViGLCtdAipqFqzjHc5f4DqC4Qx131wtuacnd/py7/C3O9Yxzf84d/k7O9Jwz\nvcVCb7HgDhZ6B6XeChN3NFCine9f+a9O4XubBi92hRbbwQoF/9D4dKBa9y7vB/6NiLwE+Huq81GL\nqr5yIEA9B3hWnH8J8LPA18XlP6DhFtAviMi9IvJEVX373Ne9TpW4jSkBhUpj+Q8dXw1EW7RzH7yg\nLaJZpHzOgSF0Ui2HkDKhaJNOke4CJAIZLsYbq6QrEVmG7rc4ClmQhhAsKGP93fA/tNasBCbSRUXp\nznHuHFecIeU5UpRoeYaWC3RR4hcFfuHQM9CzAChY1Miiojhbsji74LxcclZUnLuac1dxh3huiedO\n8dwJnAF3RThRIJyro4yuieSWSBAhgYZOLYqRv+z1wHdV6vB3WItfARV178vIX3Pb1JDN0kNyTNyP\nxYWNEnEbC8GJSHPHW0SanE1waHY12d9uvKPssm3SHYo8nWJ4ci6MwNEuKxHxASrQrTmRv46TBB5S\nR+OMojijiI9Oyvh8EYFEXB/hROEWETgsKIszyjJMrijj8tWpgRUpxaOBD8XKZ9N/7M/nGnIe5J97\nf9v+cfrb5euv0tVwQI6J+7G4sFmOzXb+eImQtlcviIvBoc6+b5c9d6GQtjhZHSYsdSyy9Alt4kMR\nOhyps9BzOVRS4TRAhpI4dGC8rM7KXsamht98GY9TxpsbZ7JgISULt2AhZxRSUsoZpYuxIl1LFOcB\nUBRnUJxBsYDFOZydw9lZuLtaluiiRBcFLAp04cJ8IbBw0TlBCx/S41B6R34Kj4GAoe+qYOWarNm2\nf5z+/nncuKpzVwded3+6H4sLG1WwoB4sb5lvU1LHtIGCsv0NClTZSV+qa0b4KKPjeCFKvxqBy0CF\niI99ieBYUEecoiM6ixniSsQXDbws4ug8LhbFlDjfjwuFlBFglk0MKIpznLuFFOfgSrQ8xy8W+LOC\n+sxRnxMgxVmNLJa4xQXl4oJb5W3uLB7mEbLkTqm4Sz2PULjbOx6hBXfXC+72Z9zSBXf6Ozj3wW8d\nHBTBNdG6JWJ6R+wOS16LYsQd4Qe+q4IFOrDcU60cp79/Diq2TQ3ZLD1ox8SYRiGF/v/svd+rbE23\n3/UZo2rO2b3W3vv58eY9LydGMeCRgEHEiLkShCAcRMlNQqI3IQYOgvkHJBLFq4gQEPTmoOFgEDV4\noQcMqOCFXhjIEa+iKImIHg0JiZrI++zVPavG8GJUzTm7V/f6tfd+nr2fd43FpGbPnv1j9Y/qqk99\nx3e4/wUR+c+BPw38loj8eTZdn7v/2Rc+5s96h+Huf11Efqkd/3uA/2Nz3m+3Y59153IpEnJvMgvx\n9S33SmvGsUTki20NI2dCRaFnm6ihybDqS54W2fHqeBa8EG1VvCakJqg51Bd5OvkdzYB0Z/5mgrOd\njGgnpZpJbcVUtQ0m8oQMuwAU44jtJ+qUsUmxG8F2DvsKU0WnmTwdF0Cxy0f2qbDTwk6Mt2LsmwfF\nTYMTU4MTU+tKJm+pG80Ap4OIVQ3x8JJDxU7OqRuKnNATgFGw5X63526hxfcFLBznKJ9H5/LaL7w8\nrk16Lx3vx6LdgocOK85hw5riYFaXYyoJ78oCT+36BhasLmVBUxovPK+1YkfPW4/ja+pGKCTWldAO\nKFLakdJIThN52JPTjpwnhhxtzrsGJSaGPC2AIqWhtQElch4W1cRWPbEqIi4rI/pruG2vxTl02L4X\n5+/NtXMfghKfClh8Tp4Ur/3CB4TI5Qmryv1qHXLetsm3NzjRFih6+qVIXwXNLcm8p1VkfKN2cs0n\ncuLkUclr0NYv2PYpGC7NIE98qQjW1RLLiimxajrosACKMU1kGRnSjiHfkNOelHek4RbNO3S4QYYd\nMkww7VdAMQ74OMCQQ6055RVKDAo51BMn6oht6kZP92BtHxM2uHMKHc6/atvL18596PafEFh8Lp4U\nr/3Cy0PJFyesyRP1rORFbseyJ4rYYhTZ4UT2yIjKHkrt5OHlkLVSzGJuoIakeqqGzoJlRUpCUsLT\nEOb5butHuz0VQVu/EFU7eoWPUFZ0RXaOxQsZGpyckDTh4z4AxTRR9iNllyh7od4Yti/I/o40HRjG\nO26G9wugeCeFr9x4a/DGE990OGFDU09MTTUxMfiOxED2XVM4ZGSjdOi2/CIPp9+4z0upUgA/eY+G\nEwDhzBcBxBZafG/Awg33z1cxcS0e04vMwM8JW4C3fFo+e+kn417PLSK/Rsi4+Prd95fL9VA8pKbo\nYGKrpojj64JHvnAMCFMYFxLGIIJpxVyolsKjIlU8bfIyU4MUHVAUD4+IYaBX3+gvciwuKKIzarGS\nalROrWsIFLBIuYeNemKEPOLjhE0jNg3YlLBJqTeCN0AhU0HHmbw7Mg5Hpnxkl2dudOZW66KeeEt8\nyG5c17SOls4RSopMoqVobABFXpx5n6acKJvOvbbBVT8noRsYcQotzj+J5yqLa8DiY8AK57IC5AeM\nz7pfePvmZ5/w6Tw9HlJTnEKIzaQYWarrrJPsc2VFwIquJHBXXBNidQEVK5Co4e+wQInY3CspXa6+\nIaLRH7Tt8turS7+gmlf1RGs7lEhpalBiYsj7M0AxNmgxkPLY1BRDAxMrpFhSPJYUjlNfipcAinNY\ncA4itu25kuUh0PAQ8Ng+n48DKz4774nPul/YffXTT/h0nhEPqSn6dVs1BZHSIf2A9s8Qp2W+l7QC\nheSxFGoJam3jgwS1eTxI2QCKAdGC2oBKIeu49lsbdYC6kjyRe2nSC4bQSqyUKgEqAlCMDDKQtcGJ\ntIv+4RxQjAEoQj2xh3FsgKJBiimv6okxhffE0NM6OAMULIBCtoBiOwC6FCcw5vQ96LddvnLn7+N2\n/5Ki4inA4mN8nz8vJQV85v3CT29vPuHTeXo8pKZInqlSTtQUcTxRmqFi8gRyqqSAmINkhOzOJE5p\n5YSPJBJG1kJJBUuFqglyxQfFiiCDYEXRrJgPUe6Ys3kECfWZZHNUCryQQiJ0/5muvAz1hOQp4MQ4\nUaeJusuUXaLuodxWfDej+wNpvGNsgOJWD7yVI19R+cqcbzbqia/rnskHbu2mpXVEOkcHE6mlcQgZ\nkWFRTYj0Wdi1OeXmfZE9vinl2dUTXSSUyBtwcQot7ncL5UnA4uPACr+o9Pjc4yqkEJFfBf4s8JvA\nP+ru332kx/wbXX4lIr8M/M12/LeBv3dz3u8C/q/zG7v7rwO/DvC7fnn/2YzQzkHFVk2xVVB0n4ra\nwAUSMs6upojNmZqS03AGNarpWqZTK5YEdcWSIUNdygd5dWyUVkqoJ1u2L0dL+5DSVlOsIDXjaqgV\n/Ewn2tNC+sqLpGGFE8MQgGLI2JSxXcImwW4cnwz2BZkKeXdgGGbG4cjNcGCfCrda2EnlbUvteItw\n68KEcrP1l/DM2ODE5EODEzEBi9f48WTN7eTepDL6sKRO9Os6uKhNPXEJWmxjq7J4TGHxMdQVn5OS\n4kvoF372S7/ns+kXzkHFtQnvdvIqy6jalstbpUQ/tu6v5pTdNFEtkdKwVvHQftnwdPo57FLvWnUF\nFFJwtaiBfgZaTnJRz1M9mnoi9hugSBPDsCO1doUTHUpMy/6qnsjknBdvikVFccFj4hqgeCgeghKX\n2qeAii2geExh8bHUFZ+LkuJL6Be++p2/8tn0C/cmuFs1xfY6bbRimeRu1BXSrnfHUcQ8Uj6yLmmc\nroqk1GQ3DqmelhLUjKaRS+X/lu+5hay7eiF5wd0DUpzN/ba+VuE9kRc40QFF0nGFE3lPGm7QvEPG\nm1U9MTT1xG4K9cQ44EPCpxSpHWPzn8jSNlbvidzm++eQor+uj8V2XcLPjrX7ke3xdAVaXFNZPKaw\n+Fjqis9ESfEl9Au/8pNvP5t+4RxUbNUUHVTEfgCJSiF7XqBmV1NkDzXFzmBWJyPsccpGTTFSqSpU\nlKwFz0fcFDPFc4znxZRqAuRlsqjL725sbgNiM6qV1MqWb6P719G8J9BhhRPDSJ1GbMiUXQ71xM6x\n2wK7I2l3xzDesR+/Y58OvNEj38rMV258Y8Iby3xTR97YyFf1lpvmN7HzN+EzwZ7UNpEBlT0wgAyL\ncoJHlBPASZqEU+Jr2o71+/EGG5wZYbgILU67hfkehLgGLD6OusKwH5mS4k8Bf9jd/8pHfszfBP4Y\n8Gda+59tjv9JEfmPgN8P/J3PPY/sPM5Xz89BRXQivjHUvO9N0d+QYwMVYFRPDFKxjZrCvOWJ5QAS\nNkZOatyrYl3fuKkjLiqRk5oS5BGpBakFt8K2tBCwyEIXp+3uO9GUGTYN4T3R4cSOgBM3oZ5ILbVj\nGI7cDEf2aeYmzdw2OPGWSOt458qtJ248M5G48ZHRM5MPjAyoJ0aGMzgRrd7TfYBtfp07jLAOIbwu\nxyvG0K5bgMMD0OIasNiO086BxcdSVzj+wYqMNlj4t4jh27/r7n/m7PoJ+PeB3wf8beCPuPv/duGu\nXvuFZ0b3cFjTqB6CE5x4U2zTO1RjUqqqy20WJUVTU2iDFClFnmgHE9eeEz2NpErzphgXBYVvAMU2\nBWwBlz0NbPGfGEh5iolIgxM5T6QFSpymduRhIrf0jq6g6OkdOUW7+lA8DCi2r+UlSPFUKHFt/7y9\npoS5FJfe69P34mXqiqgy/WHj69d+4QeM84nrJVDhLKDixJuineZOM781PLXsb/P4jbeNmiJyg8Cb\nqtIdmmT7ZJF/Y8DbQWSSTNaCeaFaoXqllyg9SQ2lfS9RkkbOeXhYhbIq6bTCibxDtuqJRTkx0VlA\naAAAIABJREFU4dMUYGIa8DEHnBhTpHdMoZ5gaKqJgahceAFQnMMJuaD88K25YB8CdQbU35euTOhA\n4inQ4hqweCgl5GOpKz6CkuK1X/jholf76LDiHFR0ONFBxdabYqum2JG5o7Bv49sizt6dslFTVBGq\nFCwp5ooNR7ydHxgjnoFrgIqkgvfFzpSROkGd0VqgbgDFZh4RlXoCUnhqvhMpYeNAnQbqmFY4sS9N\nPXFH3sCJ23TgGzkGnKjwdYMTX9c9t7bjrb1jb7dM/pbMnoF3qOwDSshNgAS9wSUvUMKaesL1/jRY\nbAUB0lUTHUpsL/sMgX8QHocW14DFabdwCiw+lrrCP4KS4iP2C0+Ohzwp/okPuWMAEfkPgX8S+B0i\n8tvAv0p0Kn9BRP4E8L8Df7id/heBfxr4q8B3wB//0Mf/oWKrqthOWB8CFdOZtrASZTgLwiAxjDCp\nD64GGOCt1rCrYir4UfCUsFnRY0LnjJSKVMNrRWppg5mzXzVpgEMU61U7Uqxk2KjhOzFGWodPBrtT\nODGNB3Z5Zp9m3p7BiXctpeOdD9x45sZH9j4y+cDgIyPRDoxE3eKe4JEvgonT16CBCcqyH4Oqslxf\nqZi08p1NWVExUoMTHUxk0kl6yPbHIN4jOwEP19QVD3lXPCUcOMrLl0ZEJAH/DvBPESsNf1lEftPd\n/8fNaX8C+H/c/R8QkT8K/BvAH7n3XF77hRfHVlVxCU5cAhU9ZUNVMYuBdldMqKbldk957N6KKFoz\nqolaB6rOaBpwq2uah1e2Zpnb+1lVFFvTzKH5SXRI0ZUUp74TwzC11I6BYZhO4ETOA0nTAir6dl6l\nI+AEF9M8rsV1EMHJ8Uug4vzyc1I+HlJXPORd8bTwD1JSvPYLn0lsJ7TbieljoKKFA2JNUeCywAq3\nxab7ogZeIFY3YWOKF75TqY7UeiTpofUHAShMA1za2Sy4m21uDbYDXEZ/kPIOTVOkdeRd853YwIlp\nh49jwIndiE8ZH0M9wdSUE2ODE0ObZ6QVUEgCSX6S3hHtI33jFkxc3Bew9dgyTLPgP8t9NECBr3DD\nz3/mexpPv49r6oqHvCueGvXx34Rr8dovfB6xVVVsJ6YPggrgwJEdcMdMFmVnmZJmdh4dyszmw+xl\n/dxtZoNV4hvumqmasax4Vuoxkw4JOyakGForWipSK1h4VWzDm5rLRfC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8A8QWS7eQF5VF\nZUY9kygXYcUkhYMc2XnlTmaKGXdSuNPCezHuxHgrRhHnvRgHKncqFODgSk3KAaUuFfFOv3ipPalR\nKhlnksqEs3PntkGJN5b4pu6XsqFbj4lJfobqTyB9S51+iffjVxx2b7nb3/D+Zsf7m8xxpxx3UHZG\n2Rl1umupJAVyif5SrS243v/yLHMg0/gSm0AJdYjMCS0pqp3NiTRL25R8VNQgH41hzuTZGOYSizJl\npuSRXI54SYhVUj0gkkn1Dvd5gRX9KYm3NWIHkQGYTxc+L6gq/Myb5FkfFzHmh5UUj8UP0i/8wkOK\nlwCKp8CJh2T9ibSWJvXT86s4E5FH1lwWqOIUd6Zmr3IQb9cFsCjiHMWoCAcXKoVZlYpQgdmUyimc\nqK1NDU6oRC7aoEYCBjFuxBhxboAbQi1xY0PzmJh44zve2C3v/B173rLjHZN+S05fhVoiv4P8Fhve\nUoeAEmXcYzlTxxHLKUoRZQ1zzm7WyemP+vKlbuY8YqtZz+IubIaWgpZCmg8BLep8Cizqd2AHsIlk\nB1TuMJ8wOyCEQadTUE8NVGQKh+ZNUYJUn6kqennT3rl0Q83HQMVzwvkwH6yWG/Yngf+CGNr+OXf/\nKyLyrwO/5e6/Cfx7wJ8Xkb9KkM8/+gEP+cXHS0DDU27z0DmX5P9LWeElheG+d4KKLtBhO3HuYMJ9\nve70nHpyv9vH2XpcdE+L3oZfRIcUa7nQ8zSOABShlhiaYmLdNGBFUlKSpqIQUpYTQBGQYp0TbV+/\n9bmv6RgrnOhKiLTs19phhJ8Ai1rlBE6s7ZpO4+qICVbjWFdgbN+fhxQV11I9PizlY1W+vCRe+4UX\nxEsAxVPe1wfvd5Pv3TMfF58KiWPdxHFJP3BIXV3RDGFNG7DwABZGwAlzvJtou+NlVU4sZnj989w/\nw63yV9CCqCjiQ4Is0Q5hts0gLZVDlhQO2XXFhJMnIw9OHqIdctuSkxNMOdJcxxQVR7P2nPr4viyW\nG5tXa/Gm7H0CISIxnGL9JVj35+onoKK3RaMviNLPTlVBm+LCFKTGy2QK1NZ/1/ZaSbxv91QVvnmS\nDUDIVm1xDVQ8Nz6AXb72C8+PlwCKp8CJh2T9W2+C/vjLSrsUBg8PC/NClUL1EqCCqQGLA0Uqb6Ry\nZzNFAlgUMe60MuPcNWBRCGhR2vettx1SdDiRiTnN3iAj7Fx5a5mdZd7YyK3toiqH33Jj3zDxLYP8\nBNVvseFnlPEb7qZ3fHf7FXf7Pe9vRt7fZu5u4Hhr1KlQp4LvD5ArOhyRXMipkLSQUmkefc0Ec6NA\n7nMfc8VcMFOqZdyV2oyD3ZVaMpSEHEfKnNBZT4DFcKeUWclHi3bODVq0Uq6aUKt4SaRywDVABVJw\nn+PrfE9VURqsoMGJOcDFI6DiefFhSoofql/4hYYUzwUUD8GJB6HEhUlpH2usXgVxpLZfsS20KG3A\nsECLTXuQgBVboFGBg9gysa0qJ5Pc4kLuygma30Xbn5ZNuHHl1lMrEzpw4+PFNI5JvyXrV2h6hwzf\n4sNbbHhDnW6pw0SZdtRxoEwjdWxQYgy3X89tFUiJH+NrxmJtBQMjKpNYOAtLcxfuW5pntOxIxyNa\nC1pmdD6g9YiUcVVX1O9OYEW1FVIIGfFM5QCAUpiBATDfKCrgHvm8lv5xDiqeE97ezw8Jd/+LRHmu\n7bE/vdm/Yy3j9Qsdz50sPgYennPdYxUgTifFttn3SJPqAKLlkJ9PnE/BxOkkdzuRPq0QIi3Foyko\ntFfeyEsFjktpHFswMXT1xKAMWVt6R1NOZGnpHZBztCucOIUU29jCiQ4mVsWER675Aigcq9pAhS9w\nopqjpUOJfv0KK2q1DVBogKKur7uZoapXFRWPxTmoeG58oJLitV94Tjx3svhQP/LQfV267p78X04a\nuolmTytoM2I36T9c8dtZI4UpSnX1fZCyMco1VhkCIL764dAMtXt+hXdykKJ6GCfb5TSOLZgYRmNs\nYGLMMCRnSjAk2KkwqpBaG3BCUAl70Gjvv8aGYw1OmMcCjzmUtl/NKe3ysWe+WIMW5sytX0gqVANL\nTqmnsEKqYA06SAUTwWsnEX0oEEul3l/Tc1XFQ+kf56DiOeH+oUqK137hGfFcQPHQ5PJhKHH/dlcr\nQPj90qW1rdQbAS32BLSoFA4ai3FFKlUqhahod6dlGbMWsagU0qKIk9t4JLvGRrQ7G5h8YPKRG7tl\nb7dM/paRt2TeRRrHEGkcc0vj+O72He/3O+5uB37+NnG4deabStl/h08z7A7ocGQc7xjykayVSQuD\nVAYxkjhKLLxeKjBaicVZa+3ssZA7W6J4olgKU3HLlHnEdwfsOGAlIyVTDxmdE3XQRV0x3p3Ciumw\nQgrTRNZMKjGPECmkGh4ZYhns/dJ7naoquJr+cQ4qnhOGc9DDs2+3jR+iX/iFhRQfC1BcgxOXwMSl\n+8hn5/UOYSQFwGgf0F5Qc7tfiR9daDCDVWHRj8V9nkVLMYnnKUwoGWFyZSIxeeLGB0bP3PjErd+w\n8z03TS1xL40jv8PGr6njG+p4Q5n2lN2OMo2UXaaOio26li8dPYhIdhBHWgucyLlPnLhLW5UobSBW\nQYoix2i1OHp0tGTSsZLGAS2VdDyS8kCaD0ga0fIeqWMYANoE9edgiURG/OeYHU6ggxKqCgAjMXNg\n8PFBUNENNbuKYrv/ElDhwOHVk+p7iY8FKJ5z/CnHtpPYdX+FEv34Fkysx1bzze3tL63CdyPPWKXs\nKgpdIMVSdWOpxNGVEffTODqcCEChTT2hy34oKISU2pblBFD0VHeICUkP68+/5YdvAUXkkBNQwgJU\nlGJNtm2LaqIWD6VGNZIKpXpTSXACJ0SkgYvtMqcieg4rWFJursWl1I5LioqnxkdI93iNp8bHAhTX\n7ufS8Ut3cT76Xm63SQGBVVnR920DLWjXdXDhHssUWwnCJhzYShY8tfyKRMgbUgMhmfC7br7XXS1x\nnsaRB2ManDHHNmWYUmw7FQYVRlXG3koz/RNFRaJtL86lfsGIhZ0AFNYux/7RbIEVR3N2FqDiaGFa\nfqyRUjJXIalTalh4iEBVpxZp+3HMqmB46xkkYFFt74cQsCA9Aio2IpWlC7ikqHhOfCCkeI2nxccC\nFNfgxKXz5cK554aa29tZW6WP/Xm5bFKoHpf3HrOEugEXtY1ji/Tr7ut5++Jq9szoE8kTo+8Y2JN9\nFyVC2ZP0HZJ+gqd31PGbi2kcd7fK3VtjvinUmzt8d4dOB4bpjnG4Y0yFSWd2UtmpsccZBUaEBIzo\nMh/bzsu6ar3SFedwbPb4R4djEu5MmV2Zc+JgmTLcMZeobOIlY/NIzQN2GLAhke4yaRZMY0xjd4Il\nwdLEdKfk+XTW5ZoWWBGfmffA/kFQ4e09EYlSpfG+3ldUPDUc57Cdt3wh8QsLKZ4TzwEU53Di/Lbp\nkdHOyfWb35k+2S3YkkoQxxuI6GqLjbypXJiEZHQBNBll9NTazEhm8oGd7xgZmXzPnneM3DDKVyS5\nXcHE8E2kcTQwMe9vKbtpBRM7pe50hRKDw2Do4GiyKCOmUS7s1Jl7XTHuRldLHfMqYWK13Y4CFeyo\nASmOEkqNo6LFIqXkmLGUSfMRNKRbJgkp0UGEv0s4+4rmdXBA/Nb3L0nhwMD0JFDxWOrHc8K5AJpe\n4wePDwERj11+6mNtYcRT2ti/DCdWFYUspT57+c/7gCKRNp4SK5TI5KwLmBiG1MCEtMu6goksRKGB\ngBXaPPg6nDhN8+jPvfUFTusXaIoJaQqKnkfe1BIl7r9WpxSaz0T0PVoinaTWUEkUAVGhliZ13/Sl\n8dq0JHMCemjqua3WVlkfBxX9vbiW+vG8eJpR52t8z/EcQHF+7Pymz/mp2AKMRU1xdnkB/6vywk9u\nc+Hx+3MQiR9DIYBEk1/KEK3mUEvI0KBEXsHEOFpTS8S2yzDlgBJTEnZJ2KkuUGLUxCiJUVMDFIks\nCaUrKVaYGv+OY1hTUISSrLhRvLY2tqPWBigqR3GOaiRzsjVfUYn9rM5cg8XMtfVFNWYQYsQPcm5v\nddmAitrgDY4j8XY+BVQ8lvrxnOgA6jU+q3gOoDg/9xxMPF7dYb3+tFuIia1vVBWwKi+Wy5vyp/XC\nZDgxnKSYZPYIA4k9KjeI7JH0Dtc9lt9yHL+hDDfc7d4208sAE9+9U443HUzM+M17dLpjHO+YhgP7\ndFyM+vc4e4E9yp7MiDKQGMik1if0fqHPo2r0ChhGbX3ETOVI5YhxFOOI8z5Vjl5576EeOVjmoDV8\n/nKm5ILlEc+FehyjtOohYwn8TgDBUn+lB+qZp15u/UV7Umja8xRQ8Vjqx3PC8QU8fUnxCwkpPkqZ\n0XPDmAfgxBY8nJ/3GLS4FvVsorGYMV74beqPmTZf4OyJkQFt7eAjAyMTN2uJUL1dq3GkWyS/O0nl\nmHe3J4qJcpMCTOzAB4fJkMFIg6HZSdlI2hy6JVYstq7cKqdmV+6RRxYS7pBehgu3YEUDWAyKzxLq\n1ZY+YtnxLOgxyrC5yIkZp2tC5/WVFzbjAAPVcg9UhKtHfMH7D4h6OhlA2IY053bdoqRohplbdcVT\nwwnvkdf4tPEpyow+dPna/oc8l0teCNdiCyV6ex1Q6L0SoeeAoqdyrGAitnHskCLARLSQU4MUOcBE\nSgEn0gVA0f+NNcWjLQTXDiligtC9/koJw7uAER1+KKWGikKkbbrCCJGAG2ts9NgYfjZ7MFtfs7h9\nTPweUsFcSuf5kJQPsy9v0PHFxct+oh++j4fghF4/78ndwpni4t5H61LJwLPHXB5LWcGExH1LAkmO\nDNwrEZqGZnY5nKZy7Ac/UUzss7JTZaeJUZWd5gVMjJIZNZMkMcqAipIkoawwVVGMjZpaf/ncAAAg\nAElEQVQJizQ3nOKF4pXaIMXR4vLRK0erLXXEyB7tUZxjWyzRXjEk7hmRUFq1V4VCW7koDVt6HD8B\nFW1Q4UpMOCxmHSddyParK5yaZJ6DimeGvCopPnl8lDKjDygg4BRObM+V8/PkaRNWZX9yua/QL5f7\nctiFj09/zP5YIkMs8MlNXKc3ASXSjpLf3isR+v5m4jAl7m51k8pxh9++P1FM3OYDNzpzq1Ee9Q3C\nPvQY7BiYZGAgM8qEoGQZEAmPuHheuizEGK16GVHBrHqhMDNTmL1yYOZI5T1R5WQUY/Tw4hikcieV\now2oGLMYJoZppJK5Gkkz6zS6dY4tkp2+R7mAaEW8YgZJBlxBfDjNFPcVEInkBVT092ALKp4TJs7d\nq5LixxcvqeBxCVBs4US6cD20ie1ZPBlibDqVtPmiaLvPhJLan3piYETJDKGfiE1uSTI1MHG7VOTw\n/A4b32DjLWW6oUy7ppoYGpxQbCf4roGJMcBEGoy8cehO6s34iiCfzfjqPK80VkK6GtWjepr7Ainm\nGiCiFMGSh1lNCkDRa8OHz8XpaydmVBvbfsV76dIuq2qtWonbW0GpuBTcE5mJAiR6OkdtKom6vtYd\nbGxGFi8BE+dvbXnZnPU1PlF8qLHmOSB46v6nePxT74lW7rMDiqUc6FqB4wRODIkh64V0DmlwQslD\ngIk8BJjIOcBESpDzqp7QVnW4A4rzf3ELKPwMUFQjVBOtDYUETT0BUvr/6s1Ma50NuBkpxSzB3VCP\nfmT1/+jX+XJOvy/RWMHpJpt9UhO3W0HE+j+cAosPVUK8Kik+s3gJXLwEKDY/XXLp+vPbXbr+kVMv\n3eYemOjfx+Sx3+FEgpQdSQEmNPlSkWOrmBjzBkykUE3cpBVO7DQHnNDETkdGyQyaGWQgS0CKJJkk\nuZUgVuTsn3SaSbA7jsVExAu1QYqjzYySOXohWyFLIZuSpaJWm1hkNdtb7tX7sMrZli71ttTZh3Su\n8XK5R+lXEY9xSAwOzmDFOlRbVBNwAiJO0j5eEq9Kis8uXlLB4xKg2MKJLZjYntuVwadxBWI81DHI\nBSgiA8iASwYZsLQDGahph6WJmieO4w1lGDhOE4dpXCpyHG6d441Rbu6w/QF2B1IDE9Nw4E06cKOV\nN2K8EeFNAxM3TEwyMDEx6NT6gwGVAdUh+gNJS6pqD3cDr2v/YDPmM9Vnis/MHEMX7TMjMyOFkcoo\nRiJKHav4UlwAYAbcFR8FZ8RMY15RtSmtQKu2tiu0DVMLrwpNVKZWmCm3UsYl3oY+DyEvago2IGKb\n9vHSKB/obfdDxCukeEE8pKJ4KqDo7RZMrNfdhwzn56yXz69PJ7dLDU8oednvUELIJAk4oTIFmNBb\nJN1CusHzDXV4E1U5NnBi3o+UXagm7sGJtuUUqyg5OWNbHe3mV4owiF4EFLBCirnnk2oztdLII+05\noyJCWV4OXZWstPxQAxm1VQRJVB825UsHMEO94h50MxJqK+FLXFGJeiriudVJ6UqK1Cp+tPJO3fT0\nAog48aV4QfnR/v8cP4L65zU+bTxXNfHQsecAjedcvg8nThUUmrqKQlp6h6wqik2p0DxEqdAtnBga\noBgGuQcnhtamRIMVrXphb7epHhcABWzgRFdOpHVfS/QxpbTbb3P113sAAgykLIvpZuzLMgFJ3qoV\nOKdAQrpXRpzfL3evj3NVxDmsOH8/PqT8aL9ff/Wk+PzjIRXFUwGFPvP8a4995frt44j4Aidi/B9Q\nQgQ0NdVEii3n01KhUZmDEzhxk4VJhd0FOLHTgZ0ODJrZ6cQgA4MOJMnk1gpK0mhF7i/keJuIVCsL\npMgWq6azH0mSmG1GvBltntrLtKiYCaM2VYZIrJg6UaXQfVF1hsdPlCQVb32Nx2vjDriEbHv7GtcG\nL5CH1RGX1BTPDn/1pPgC4iEVxVMBRT/vFEy0216CDMuB4cHLLvnkuEnGNcCEa8YkL1DCNFPyyHHa\nUYbMYRo57hKHXeK4g3nnkc4xlRM4MY3fsRuO3OjxDE5k3jBwIyMTI5PsGXQiyw7VAdUJ0YyogmYQ\nvQcooEMKAyu4GWpRXSPZTLID2QeyH9qsSE7VI92lHzCpVJ3Dc8IVH45U03a/2jysJKoNWnhT1Npb\npQw5jDQtYZpJTf1oEqViXTNSCy65wYr7IGLrQdHVFM8Nw7mTD4McP0S8QopPFJcUENcAxTmc0CvH\nL5+zARoNRvTj/fK2TTKR2CGSUHYBJmSKdA6dFjhhZ3CiV+foaR22E6zDicnRsbb8U2s1zZtLtwpZ\nYRRlEF3cuXt+6XnY4rFRyS4UdxRDNRy5wTmypoO4O56jHKCYRs3yRCghsuDFsRz+FC6C5YyWgi/L\ntgmXFIOfpW1aTo8OYaumUBJGIZ20q1HmNRPNxz4bD8WrJ8WPJx5SRby0fcp1a+qE3N+Wcp+XAcWJ\niuIMTvTqHCdpHR1OZGnAghVQZBYlRVTzOIUTmq4DCgj1RPd/CO+JzfklHqPDjL6vibWUoDTDTKP5\nUzTwkMJQc31d/ETRsT1++jqGmkL8PqB4qLToNXDx3PiQEqSv8RnFhZ+Eq4DiDE48BWTcO4cVRizX\nL2DCl8uqDVBorCx29UTukOIKnOjVORblROpwYgsoRiYdGBuYmHQiy0jS1NqMNil3knx9IgJUL6gM\nmM+IKaIF9QYkOGJiZAwXZ9SoxGOtcloWoYi0Nqp6qEfKR9aW7imxbWGltMsqIZiABi03aorIVe0w\nk9M0D+WqieZJPFfM29NLXuOLj0veE9cBxSmcOFE/bFvuQwjfQI4OI/p+BxQuMcl2TZQ8UfKIJaXk\ngcM0UsbEYUqUUTdwop7ACR2ODM1v4jbfcauFWzHeCLwh8YbMDRM3MjHKxCATg96Q0oTIgOYRNId3\nnEoMJK4MGARCVmkZrLT5wUaJZWAY2Y2KMeHUVpDgiDNKtIMYszhZK1UMEUNTwTThGuXJPTmujmnA\nS0sS+0mhgGk6UVO4pUgc04zUOQBFhxMyXDXRfOyz8VA4/qqk+LHFU1I9rqkozq9/CqC4BieuqSNg\npa9bKBHHT8FEV00IGZUJlV3ACZ1W5YROeN5TxzfYMEX50MVzYrignvBFPaE5AMVWPTG00mGjKoPI\nYoC1Nb/SzcDDltwxJ0uiUJf/xghZpghL3ugyUOjlCrV9sZXlh921SzM3kmu98r5KBj6sRM+nCAOO\nz3bPeo1PFU+ZTD41XeMp7cvO5eTYPQVFAxOnHhTdh0JOwISqkPJaOrSXDz01xLysnliUExv1xLVU\njy0U2H5FewWPBTjU9Xqz09udbB18nEGH09fn/D25Bg8+x0H/y8qevsYniqdApiemazwFUDx2zj11\nxPl1J/dxBia6gqKrJ9rlpKtyQpX4rc+xKDEkTlM7HlBPjJqZdDhRT2QZyTqQdYz0jq6kaCulsa2L\nMu6Rb+5uJDK15Wqj4BYOESqK+tqKCOp97GExDukKC7qyczXyvvY2xWvoD1z7A0d97Rc+l3hKqsc1\nFcV67MwP4gFAcQ1OXAITrmfHNlAizjkFE6aJMgytzcw5U8ZEGXRRTtTBmXdOuZmxqeDjEdkdSGOk\ndlxWTyTeMDAxcCPTiXoipSnUEx1Q9EHEMli4MGDoq5gpFhxDfdCua4uRsukbkitJJFqM5gm8LAH3\nVDDZTvL18pjAErygQugnDwfuXo0z1xCRPwf8M8DfdPff2479m8A/CxyBvwb8cXf/f0Xk7wf+J+B/\nbjf/S+7+L36q5/a5xGWlxH1AcQ1OLPDigmIiYERrG5gQMqpT7MsOdELSDegU6om8j20DKOo4UMdM\nHRM2tlysXq0jeZOCNtmnsvhOJKX5TwgphJoxMLgCKK6F4UsFk0uLA736B7CWLF2VWsuKwnZlQa4N\n7De00v3lX+ZLpZo+JMI48zMdDD0zXvuFx+OpSolrcOKa34To5RSPgAJ6AilOFBRZm8nlCijSpnTo\nWq1jTd1IKm3ltV9eYcRiknkGEy4BimvRoUXfv3h9+5ovJUsv3GZ722spF6eVUR5/btef88cFHZH6\n8uUNOi7Fa7/whLiQ3nEJUFyDE3J+zgZMdFWAaNyXbgCFqJPSqqTo5tc5sagmO6AYWlrnWka0VepY\nqnTENkomS2qeE813QlPzntBlEnENUFwL94p5N9O8/zvvrfoHnJYsXY5dGGtc+9b6NgXzQ9IxPzZP\nCKfxj3ynP0y89gtPiftKiYuA4gqc6PuXFBOmuakA0gZQRArDPGTKoMyDctwpZQz1RJmMuisngEKH\nI0M+MuY5yohqZS/GXqKEaK/UMclAZiDLEL4TOiAyIGmT1rEdMJwDiiuxpH4AXBjb11b9I/Z7u4qe\nrC02+7bwwRXzYa3b/Q/4Hn6g/8R5mDh3+uWNF54rJHtO/Abwq2fH/ivg97r7Pwz8L8C/vLnur7n7\nP9K2z6JjKU/49XiJx8BT41KaBzwPUCSZmnJiug8odApAoROuI55GPA9YHrCccVUsJSwrrizbshqj\nIFdoImyML9sgwLBNObDaHLi3Wz273phbffNe27y2UmFR7SM2s7U06dKzGEiJcmFaLHwp3NFSmidF\nc93rfhRti9WZgBWR61owCuYhBOupHfWsjX3DpC77l1I9+nXPjerXty8sfoMvvF94ymTzUxoaXve6\neDqgWCt3yJW27SdpwGHdRFn3z6DH+jyuP//uK7GYYHaPiU0Kx3bbXndillnvH69n97VeF6VH47E9\ncsyt55c7VrspnreNs20t97me086z0+u27fb88/37r8sLfSmubF9Y/AZfeL/wJIL1KeeOl+BF238q\noJC0+k2cAwptSoqufkraFyYgtflCN8ZW2vxh81TCKPt6x+DeRglui0qiesGsb/PZFserl3beHK33\nY3XT1jam2G62jC2sjS/MiVLGHuOX0hZl+7Z61/RNsG6wa9I8KRrAMJaJzPLR2L7/dnb82sfnJdU9\nzK9uX1j8Bl94v2BPSNZ9yjkvjZNUjq13xTMARRmGtuV7gKKMASjq4NTBsaFiueK5QK6IGCkVUiph\nRNmq4PQZTULu+fyd/gM1vJeaagrf/PhXg1JPt7odSBS81vCPqAW36B+irwgDzeKFqPlR1tKkOEeH\n6sLsSnWhWApPClesZjCN1DITpApiLY3UQKuj7bum1cKgt21ibc4BiJ2a9sf/O288J+aLqR7As6t7\nRNq4X90+1/hkSgp3/28a2dwe+y83F/8S8Ic+1eP/EFGwZ1UDqdiz/Qm2oTy8stAlZHLSdtlYqyMG\nsbz5QKxqhNi8/fi6OV4VT5VqIamutpFGq0fel1gYUUnIptTbYOXse7HWOA+aucAJg+rhSTFXmKtQ\nqlCqUotgs+JFYRaYBTkKenS0OHo0tBhaKuk4o6WgtaB1RusRqUekHhqkKGAHTr7KDVR0WAE0WFFO\ngMU19cQWSLwUaJkLR/+UPPH7i1/EfmFrovgpzj+Px257LSVk3X/a/cREeGsmtw7izVbvCJGzhb3c\nb7/6RohdhxvnwOASuOiVPBa4Ufoxp1bfHAs4UYs3cLHdj62aY9UwsxVi2BmYuAAEttetl5+iznjp\nAMGXVeMvPX4R+4XTunNPiBOjxxfEY7e9kArVxY49XQpo1XGuxyJo9FXUaAsIMLI4xSviQu6rmgbo\nCHZExXAxEoag2AXnfmhQo5lmmtsKJ6wu4GL2mdlmjj4zW+HohaOVKEXaypHGFpAi2qgmNltbCFgW\nRdZ928BVPwGucnJ5+d9so7x4KpB46Vfb+dEoKX4R+wVnvpjycT1mrlbveELYxWogm+vb/MCaYqFq\nVNOD7r3QzntE6GSmkKAiGOt6YnhAGANGoYRe3PPGQHYX6gQ3JBnuG1WFXuhAzVeY4bbACfd5qfBR\n7MDsB45+4MCRO5+5o0QpUoz3Du9duXNl9sTRBmrN1JqxeYSSoGRkTuicSLOQjoLWABTDbGh1khlq\ntgEVJaoHAuoFfD4FFVfUE74BEi8xzYRYMH7/6knxrPgXgP94c/l3i8j/APxd4F9x9//2h3laj0fF\nHyZ/rACiikVVh365tUXq4ktxXiEizutmjPfP6ZfhYVDRjR2dgmxayPhWQWAVpBE+q5sKGIbWihdB\ni4I6fgRRCUd7lV63glYxHPeQgppHVY6sThYniZDVWroH7bnL5rmuMksjwMRafjR+c+cayolShVoU\n64Bi7oCCBVCkuwAU6VhJx0KaC+l4JM1H0nyHzncNUBzBjmAH3A64F8wPmB0uqiiMcqKi2ConTDqu\nOO0ITkDFC0ce9UeS7vGE+GL7hafAhUvmig9VhTjfPzdjPH/Mh8wa7z+HmIj0yXW/f/feegzE1aMs\nZ5+cWzeZpE3qQWp/TN+Ahu3zikHMFmBoCpBwXtHjPL20336rwNgqKko5WTgJOFF9gRJ1sz8Xoy7g\nwqnV2hb7pdoJsFgVGH1/BRdbFcU1tcRD6oaPASp+gYwzv9h+4UlwoZ/T2v7dXI5vgcb2/rbXXzre\nooPAB5/HJgVKWosBiaVPCEWBIG1/mZyzKg+Upqxw52gWD6mgXjcTD9rE3Rk0Y2JUryclR5NHomhP\nC92WHvXuvN/UF9XqvfKjs80Ur8w+NzBRAkh0OOG2AIo7M47mzOatJba2KDLXrXqTUG9aqCi8Kzkv\nqCjOYcW9/U5xtm/Dtit46df7y1NMvDS+2H7BmB81P+znePdV8BmRYQEZ7mX1pfB5TfPo+z7Hd7md\nI15O1BRipRlKX58KqlUsaZTSTEoyw6piKqEYSH1yDq60spyKm7bvgFJrRsQoVlGMu1biE4y0nTi3\nfq66MfmEYSSfI/XDYpNmpuu9X9gMGJZqV0114T5zXn509gPFCwcOHHzmjrnBicp7/ARQfFcHjjYw\nl4G5jNg84scBjiN6GEiHjM5KmoU8Q54JQGHOMBfyXC6qKMTKZTjRVRQ+c25ssS0/+lwVRY/yBU4j\nfhBIISJ/iihY8B+0Q38d+Pvc/W+LyO8D/lMR+Yfc/e9euO2vAb8G8PW7l9HDKk56Yg7hU9QRHURc\nO/8hUIGzQgkJc8xzULEef1o+kRK/USqxEpCkXWYdu/R63QJrrqc8rOuolghsqm3FoFXPqI5XwbJR\nBws4kR1V30hCfTG87FLQbfTfVGOVVq6rFzEgqG0wYEXwqlhTTnT1hBwJBcXRSB1QzIV0nO8DivK+\nQYrvAlDUn+N2wPznmB0w7qh+iI1DU04UZo6LimKFEvfflyKnsOJD0oIcmH8kSoqH4mP1C2/f/OxF\nj/8cBcNzgMS18x8CFcDF/e2x83PWWcyFAeoyQQmQYGao6oni4XymtFSyMN+kvm17kbiNu7Z0T6N7\nxFhewUGuYaBZdYUS3ZdiCyi2K7fLa3QGKTqouKamCGixVU+sQGI93qBE8XuAopaAFLVuW1vaDiqs\nqS1WpYVdVVicv+cfR0XB8rg/9vhY/cLuq5++7Ak8R8Gw0IUn3t8lNcVDoGLzFXW9fP32uKssSkhX\nlmoSYoKrb6pLtEECAsmxKmhyMGm/busTtWYYGf9mP779HK+ArqdCdDVF0TXlc5TCqJnshVEKSdLi\nU5Elh3y6QQo5ewO2kMKI72GHE+UsvePohdKBxAmgCDBxNGtwgquAoiwLJAEoamnjkdLGJEaMgaqE\nKLP3Vy31tCvMrqoo+nXbz8BLwx35kSgpHoqP1S/89PbmRY9vUlB/2hTKKI8aaG7PuaSmeBhUAASU\ncGmq6XNQAUTliLL0ExB9wjIG0EhXOO/y8gxl6G1mmAun08etukKX6/rH3Vgr1FkWAl0eMW1KCmkp\nFhh7L+zIHJiZ7MDAQJZMkoFkLaVdNJJEzgYMHdo7kS5mdFVVpHXMzJHa4ZW7Npo/UU8g3Jly54mD\nDRxrZi4j5QqgyHcBKIa7gBTTXSXPxnQ3k+dCLjN5nsnlSCoHtMGJVO9WFYXPV1UU7uWjqCj6e3H3\niAruc4zvHVKIyB8jjHD+gLcRmrsfaGUV3P2/F5G/BvyDwG+d397dfx34dYDf9cv77+UVvwgeztQU\nl0DFNp3jOaACuPdDVqUpKfyyqiJRmy/F2ron+hBDWyteoyOCWHb0EqDCK+IF85u24hG+DVoLWkZ0\nHNGS2xYmmnWUMNKcBR8cz4INiiSnJEcHW8y3kvoiGe2AQmQ7WG8d3DIZiUGAt1ULrwEmvMbjUZpy\notyHE1rsnnpCy4zOB7S8R8v7SPHogMIOuP18UVBcAhSFwwmgmOXIiihOVRRbQFGxBVD0Y0/xOtlG\nrFJ9gQj0GfEx+4Wf/dLv+V76hYfAw6XLD6klngIqHnsO634MSfrlZfOtPwWAtfM7kIjZzzKgZl1B\nTUk3k3Btk3WNAcdmZTFlCZPN2s00hVKclARNhCyymWbqBUgR//P2/1vbEzXFFlAYC5QIsOANWpzC\niX5drbYAig4iQnmxBRL9/HoKJs4ARVxeAcWp0uK6V8T5/rZ9TvzYlRQfs1/46nf+yvczQrsEKs5H\n/ZdAxQUlxFNABTSVBJvjbT8WI6Tte5xf2+PFbIYunXAVelVS33wX+03MIbVXULviqqujvEMIKAo1\nRdrE6ASQUGdUY3RlFGP0GgaaVlYzTc0oUZ48S0KkQwpp/9r6AtoCKXwDKWqoMM88J44W+8fl8imc\nKL7CiWMNQNGVm5FWyqLgtAYpSlkVFBcBRdtfAEXbX0DSVkWxARS+2V/al3xqf+RKio/ZL/zKT779\nXl6sS6DiXE1xCVRsz3kOqADYzkmDKYaSQgCppZloRj+RKLhHdQ/xGmUytaLNnwLAtH3vFvVCRs1J\n5kCi1PBnKDuQOrQFRsVLpo4ZHzJ1yNR8pOTEnc7stHCnlffi7KUyUtlTGFFGV3ZkkiuDJDKZhLY5\nTjyH8wqB8To2QNFG79WdmcK8eE4Y7wkw8t7DmP4cTtQGKGyOjeOAlIweMukukw9KOgrjHeQ5UjzG\nu7ooKC4BCq2HE0Ah9n4FFGcqii2g8I1PRVdR+Is8Kb68ecT3CilE5Ffh/2/v3GNlya76/Fu7qs+5\n5hHsYWwzfhDbaHgYIo2N5TgiGBSedh4DSBA7UnAig2PJSBAlEUP8B1YkpAkBEiHAyiBbYyfIjoUB\nW4kTxzgQKwqvgRg/mBiPjWMPM/IIHAzx3HvOqdorf+y9q3ZV76qu6q7q7urz+6S6Xe/a3ad73a6v\n114bPwzgG1T18Wj9kwF8RlVLEXkOgDsBfHzOtozJpug8x0BRAWBj14+1/4giWdGUHW1Z4aRECG5p\nWeECW+b3UVvA4sIV0rSF0/2+kKaxl9Ds8yDlJUz5BNjsDKY4hykKZHmO8uoM5aULOFluUJ4ZN+pH\nDtgzA+SA5grNAJu7bzWhIBfEFeJqfH8z7teagEuhFsD/IuuKYfr0yUKAshYTUqirN3GpXky4zAlX\nf+LStfnqwsmJ8nI9e8JeAPYC1n4OVm85SaEXKHELVkuUuEDhJUUQFFe4bGRQzC0o3FtATjqT4pji\nwphsiqHn2NRtY5OoGHKd1Hx9rrSsUJXW9eAzK0x1Ex0KaVr/RcSW4iv8SyUqSqN+tA+DrBQUph71\nw1y5eWN8WqgJ53Q3QFkWCm827+tcN5T4uUaSQrXq7uHEALw4QCUjXEaF9QLD1pKi0EpMlKVFaXUt\neyKIiPXsCScj4noV1boBcmJqQYETz6Q4prgwKpti6Dm6RAWwuetHu4vAUFmh7scBja/ZkhWleonp\nt7vru8wK9e0xRmAz19Urz1DVa8i8oCgVuBTgKlOsjOLKCC4EWBmLM2OQixue3AkKaYz8YfxyPBJY\nwIhUo3K4l9BGtay0EhM2rmnlxUQovn3p686EzIlSnZwotc6ecPX4mtkTQUiUhfHZW7GY8I++20cl\nKEI3kH0KClWXVnaiHFNcGJNN0XmOgaICwICuH/4kQe7HssJnVqRlRQE1OaR0XSuSssIWsCZ33T9M\nBmMt8qsCxSqHKXOYUutCmlcGVzcU5dUKxVUGu8phixz2LHM3/atLXK0ucZVf4lZW4CwrcG6usBKL\nG2JxJoozFDgT4AxXOIMgUzcKSCi0WeV9q+s6bqMPi+ucrdUUimG6eeCyEhMZrnzdiQubo7BZlTmh\nRV1/Qi7PYC5ymKtsLXsiv7ReUBRYFV5QeDlhbImsuEBWXjQyKEwQFXsSFIC7zbq1PEcx6xCkbwHw\njQBuF5GHAfwoXBXecwDv8V+owxBBLwbwL0SkgJP2r1bVz8zVtsAU3T6GiAq3X12jAkCvlOhaH3cD\nyXwXDdsYotTtAQBhBJB41I9SL5DhHAa3kOEGrL0FgxsQ+RyMvQERJyqk/Bwk+3ygeBwmO4ctnoDs\n8gx2dQP2YoVydQab5yjPVn70j8wNUZobl02RCzQH1I8Kghywxv9E4364dcQjgwRREf5zLl1Kqvj/\nzKUIUkIhhXVFMYu6KKYpm4Uxs6sLSHHlsyZ8gUzrsieCnNAgJlrZE+ozJyxKFLhAGT3uW1AA7jvH\n1aaqRAthCXFhim4fQ0RFPL9r2n87QyMIiXoegK8XUckK6x6tCExmoi4g6kfusH6UD/dYlhZZ5h6N\nMV5WWCchCoMss2740txUIsINZYrWKCH+psfAjyZWiwrX3vi5NR+t1UZhurpuRCwo6nU2khCxiCjK\nUBxTO4TE+qNqM4PCPW4WE7MICvj7m9MZgvTo48IoUZHKpkido6vrR5QtAXRICNTbq8um9ivrmxV3\nDYnm1W33n8PQVUSN68IpmbvhliwITIEtXX9y8RmSTlK6m/rMKIpMcGncEKWXpRueNBP3mIurUXVm\n3DDFTlD4ybhOHUFUuG6hbvhy+PnqZfOfmXBjEkboqGVFNPlsiVJdrSu33gmJUl0djaaYCF1M4bMn\nvJwoO7InKinRzKRoCIl9CQr/Jz2V7h5LiAtTdPsYIiri/aq0//Aead0/DJIVeuW+WAOA5BANQ5QW\ngObuTsKPABKP/pEVFyjzc+TFJYr8zGcMrGAzg6s8R3GWuZE/bvmhSW8ZlGcZisdLolsAACAASURB\nVPMcdrVCeV7Ars5hzy5R5CXMyomKLCuwyi+RmxK5lFiZEiuxOBPXOeRMLDKUyOC6sNejg9SUrcdL\ndfXcStQjdQQpcaUZCpuhKDOU1hfFbBfGvFjBFBmyW7nLAvXT2a1aTuRXNpk9YWyBrLiAaImsvOUy\nJ8o6c2KfgsIdJ7jFTIoaVX15YvUbOvZ9O4C3z9WWPvYhKgAksyoArP1HVIrProArrFnLDfexCxKi\n1HAu10UkQ4YruEcnLS4bkqKev4DRDDkuIJrDyOeQ6Q0YuXBDl+o5jD132QY+uyK7OgfMGWz+edDs\nDHl2Bs1WKFc3YLMcNg9TVkkLN2ypVMOXwogfwlSqL1LrhSncgxtFxA+XZZvDiMZSwi0X9YgdoUtH\nJSX8yB1RYcyUnFAtUXpJEcREu/5EX/cOoK5BUUmKHkExvj6FwC4wuKRYSlzYh6gAmt05+mTFkG4h\nmx7b87GwsNZWv5aGbU5QaDQvKMtomNLCSYcsMzCZqSSEExNBSFifQSG+FoXUgkL8cKZrkmK9C417\nrDMpNMqiCLIgSAknE1ojdvisCZdxEQuIDVIizNtYTAzr3hHa3icm4r/3eFnhq5ifAEuJC3sRFUA6\nqwIJCRG2l9ExJvpakbhp0XD+0v1/LNW8z7KIhYWrh+1H3xFYUUjm40ThsinEKLKyHqbU1aIS5Jl7\nDHWpVpmvTyWK3Lg6VbnACwpfcNNEckKArkLb7mXzokKBMCqYExVwn3WgISXUC4kgJupi3LWUaBTG\n7JITXkZYK41sicHdO9Baj2h9SlCM/ogrwLiwV/YhKgAksyr8DvA7uEUNYsMX1lQ3Akh9gxuKNvrz\nygrAzSrTQm0OV4Tzlsu4MHlDWGTlBVQy5Pl5NVRpkZ8hX61gL0w1TOn5rWiY0lXmphu5H6r0HHZl\nYc+vYPMCRV7iMi8gWQHjpUVmChhjkZvS17OzyERhxCLzT7o92lDoGl1CYP3woRYGNgwjak1DSsD6\nIUWDmPBdOsxVVhXFzC7rwphdcsKUFnlxiby4gNhyLXtiU/cO93dzgiIUyewTFGOHrVUsswD/IUf3\nOBrGigoAyRoVACpZEW5Et5UV4RxBWACopAUAZC1pcYUrLyeukIlJSAu0pMXjyHEOoxkMHkem5zCS\nIStvQCSDwQ3XHUTOIXIDMOcwxTlgnLDQ7ByZOYNmZ7DZGTRfQcXA5ivYLIcaA5u7RycmDFSkWgZQ\nPQbqoU7Do4WoulFGinrUkSAlXM2MK0h55armdokJLfzIHRew6qREyJxQFL1yImRPXOKyeu37sifi\nv/00gsK9NYqZMilE5Da46tjPAvAJAN+jqv83sV8J4IN+8ZOq+ndmadARMVZUAN032Ck50V4eIivi\ndnUd225Hn6iI50UAKZ2AcMsWJjOVpHByQSphsf7o572UCNKiPq6eb2ZQDJcU4dHd+MMV7Q3zayNx\n+F9XO8SEO8ZGy7o23yUnwhS2hXZ2iYq+x/b8UEL754BxoYexogJYlxVdGREjZQXQISxax2r7vKFJ\nXk60pYX6c4ko4NdJ5tcVgM3ckOOSCcQoSi8oxCiyzAmLq0hYZL6bV11I291cZAbIjUIAJypC3SrA\nF9qu5UR3se1IVii8pKiXwzCicTHuMJ8SE+q3aSQlQuZEqJHVJScq8RAkBTZkT8R/+0kEhT9+pkwK\nxoVuxooKAMkaFW79KrnfYFnhdnKrImEBIJIWgFZSJBx/EwLXDQSySkgLwPisCsgKeZGjzG5AJcPK\n5Cjz80pY2MygyFeVsChWsbAAilWG8kxdZvbKwq5K2LyEZooiL1DkBWAUkhcQsYCxEGN9hqd7dO1p\nvtetD3bqH601cMW9DbTM/agjppYS1lRCws2nxURmFfmVRX5ZYlUUXkq4zAljy345UQ03ejN67buz\nJ6rt0XtiF0ER3hoXO/dZTDNnXKCk8IytUdGXVQGMkxUAEAuuEnUmRkpoxOICuKqGMoVcIYOp5AQA\nJygEXk9kjfUZHq+kxQpnMOq6heR67mpY6LnrKiLnfnICo5IWxkmLTDKoOYdmZ4Bk0OwMajJotnKP\nYtyjL7bjltMfFvFfusX/EiC+gKeof/RCAuqlhJZOSmgJWPdYZ0wUUC8i2lkToeZEkBFVd46WnOjr\n2hH+PnPJiZgZC2feA+C9qnqviNzjl384sd9NVb1rrkYcK2NERd/+28iKvnMPkRtdoqL9uC4sbJ1N\nUZpquxMWsWyoJUWcbREeG3IiSIzq+KYcqa/d9bo2X8emLEAlJJy4iOtEYE1IxN002lkT9fFNCdGW\nE7t069hVTjRfl9l+MWVc6GOMqAD6syqAcbKifep4/zAgWHypWFyEjIv4uLI+PhYUoZhmdT4TPWY+\nhhgvKsRJCvhH40UFpJYWIcvCiCuYm/ksrTDyV+bPb8Qth+cQllNUoiISmGGYVI3khCvEjVpARI8h\nQ8KqVOKhnTVR1ZxQNLp1rMmJvq4diNYj+ntOJScaLwzjwiEYW6OiL6sCGCcr3PaaUIuusb+sqpvg\nWFxAbyIMZerehitAb1ZiIpwH4oYAVVsvx9KizG5U3UJKn2VR5GdOXKy8sMhzJzAa0sLAZi7Dolwp\nbAbYlYUaWz0iU1e40xfvRDy/9gKatUexBigFxosIsQZSuu4bYp2UMBbIL+EfbTWcaH5ZIvM1OOKs\niVBzwtii0a1jTU70dO0If5+55ERAMWvhzNniAiVFxDaiAljPqgC6ZQXghMWm+gQhi6I+Xy07ytax\n7Rtgd9yVb1sWrYsyK1ri4kKzKtNihXMnLzSvsi0y8eLCP7oMi7zOtJDMSQvJ3TcYc+6EheSAyaCS\n+Z9iADX1kKdraN3HOsgIAG5UElv6D3stJKAF1C+7D3wBq27eekERi4m43kQsJLpqTgDrmRPx3yNV\newLoFhQlxt+UuC9Ys9WkuBuuzycAvAnAryMdXK4t24gKYD0jILWtLRU23bSmupB0Hdu+/iZpkRIX\ntbAQmLJeb4ypxEO1LO3Miea6OiOjlb1h2m1JPe/ma6BhWMU1WdHMdohrRrQFxVrXjXK960ZXzYmq\nHT1ZE5ukxO6yQuesScG4sIltRAUwTlaEde23R/vrQ6st1e6xoEDi8mVzn+rrj6kfY3GhPs0hlhYh\nw8KKQDJFaVyB3FAwu/Diwn3WnbRwscDvI7WwCJIizqxKjQZWPc/o+1oYGcytr0VFLCTUS4VKSgQR\n4cWE2ycSE1WmRF0A061Li4lw7ZScaGyL1jX/YK31W2VS6JyFMxkXNrCNqADWsyrctrSsCPu36xOs\nv12aXUjCTbEkjm0OeXrTLetNv9G3zdetcBkWbp34jAuVHKZY+RFDcuTFE2Alx5nJUWbnUJOhCJkW\nq5V/zGGNqTItbCa48o/WGBRnzjNo5sSFGvcIuHnAbWsjZfRdxwpM2ZyXsikkTKkwZS0lTKlYXRVV\ncVBjy4aYiOtNiC1gtOitOQGsZ064dd21J+Ltbn0RzY+vS6EquNTl3UdQUrQo/X+Ec8kKd42WVOiQ\nFsmhTxNCoi0twjkB4NIXxqklhQEEVfZFEBXxvxlu+kyLunvISs9cVoVmyFELC4McoXuIy7LIXbqY\nlxjuJxdfRdjPA0gLipggK8KHORYSCMHWLYcuHIqikhLWz4euHEFINDIlBmRNABicORH+Zl1/q20E\nRcDa4e/HkTxVVR8FAFV9VESe0rHfDRF5AE6936uqvzJXg46RPvGwzTGpbSnJkLp5TUmTocd2iYu+\nDIvuqe4Gksq0aM+vL6NxLTe/1uTW82w+3zjLoV6OhUU6CyJ05UhnQ2zOmoivlZpv/036hMQu2RS7\nZmL0wLgwhLZcGMIYWRGvQ7Qt9WePsiT6jl07NMqkCFRNC/vH8iJ0D+mQFjChOwh8pgUamRZifOHN\nSExIpmtyQsRJjEZ7OqjiQiUDakEB1EICGmVI+O1uNDE0u3KEjIlWVsTGrAlgTU50Zk4A6JQTqeUR\nCOPCQbH+e/dcsiLeP5CSFgBQRoU3a5r7GT86SJObdQZFFbJ8ZoWufA3e3G8LXUPyWloUf+FGCpEc\n+YBMi9A9xGYG1hiUxqA4y2CNwGaC0ttKm7lloE6U6KJKuii1esy8hHDbtRYUvguHsbaSEk5I1F05\nQsZELCaGZU2413xI5kTYHmj/nbcRFO6cs9akmC0uUFJ0sM0QpUNkRaBPWjSPq7t+9F1zDUm3oyEr\n4kcxyDWLljMvKupsCycqokKcXliEbiIuw8I/ennh+re5eQCVxKiamZAVGmVThA+wRrIiyIiwHIRE\nyJQYIiUAJMWEe83XC2KGvwWwXznhXoONmRS3+w9+4D5144ADAETkVwF8SeK4145oxpeq6iPihvb6\nbyLyQVX92IjjT4KxWRXhGKBfVgT6pMWYdvQdmzpuXHeQtnjwoqLA+rooiyIlOVKZHG459ZzWn99m\nWRFJhwFSYv3Y8VJiH3IiHG+19xdTxoV9MTarAhgmKwJ90qJNXzu63i4twdHIxIgeQ1M1EhVhWUL3\nkEaXEFTyojQu00IisVGJCGlJC6PV9RovTyKbAhrHzNajbcqKWEgEkTFESlTnbIsJoM6aQL0tbsM+\n5UR18v5MCsaFPbHNEKVDZEWgT1o0SXcrCZQ9N74NweEzK8J1RaNsCnX7um4jdcaFga9nUXUNeQLU\n5Fhd1oU4beaEhZqsKsRZTZnx8wY283UmvMSonnu2HvRMVJcl892fTHiMZES9XEZTMUxKAGkx4de3\nC2K6+f3Kifrcgsv+9+JRxgVKih62yaoA1sXBEGnRS3VTPO5L7SXKhgwJZGqqLyR5LCvEbUuJC/fv\nrYa0aGdbhHVhyNMQnGOBAaAhKfoCZ/whrT7QXkS47WW1Tywk3GvVLyXcPuPFRLyu/XceIie2GoZU\nAVv2Soo/UdUXdB6u+s1d20Tk0yJyh7efdwB4rOMcj/jHj4vIrwN4HoBr96UD6JcOQ44LDJEW25x3\nCH2iIp7f3B1kc7ZFaj2AhsDouv6m51uLgWje9o+u0Scl4uVN891t6ZcRXdkx27Chuwfjwj7ZJqsC\naNo3YJi0GNOeMbTbPrA7CNASF3FNi0aWhSu42VyGy7io+nfUAgNAlU3hFnraHkvMVkYFgJZYqIWE\n2y9s75ASa8fXx/aKCbT2Q2J913LjhCNQBcrevuuMC3tkm6wKIJ0psb7P+BvX8cfcbMgQAChxs9Ge\nMHypQZAVeVpcyAqmrKWFSl5lW2hrBJGQcWGNr5URCQwA1WN7vo2J/o+spIQXEAAqGeGeRy0k3LYN\nUsIvjxUTQLrmhFu/WU5sVzhTcNX/Y+dRxgVKigFsKysCqRvTlLjovH70v9vYm9zkW1nK6vqX/ttH\nkBlBUHjN0BAXQVqE/VLZFqmRRKplv800JEV/tw8b/fQTCwkAtXyI1sdCIuzTJSXCulSdicBUWRNb\nyYkKgc5XOPOdAF4B4F7/+I61q4s8CcDjqnohIrcD+DoAPz5Xg5bCtrKifXzMmHP1/Uq/zbVT1x8j\nK1Lrurcjeb6udvS1vzujod6ezrzolw9jhcQ2WRO7ZVPojsf3wriwLdvKikDqbzomxjR+sR/5/kg5\nrzJx/UhSKNDIqqjqWARpEfZLZVtU22t5gXC5uGhndd0NzyfqFtkWBuvLkt7WJSUS2xvHtverGpLY\n3rW81vgtYVw4OraVFdXxiW/zfT/yrR+/fQHGrv3r6zczLAzySlC0xUUtLYBKXGBdXABoyAsAlcAI\n8wHd0H1cGrXuwt+haCwH6dAWEu74PikBdNWZqNo3UdbEroUzy56s/B2ZLS5QUoygjFINtxUWgd1u\nWpttGXsNN7JI89tI9Xy8wIizMEJuBOCyK0L3k1hctLuJVNsRSYuoaEsWyYkxogLAmoiI18XyId4n\nzpQA0CkmUhkTwOaROuaREw7dnEmxC/cCeJuIvBLAJwF8NwCIyAsAvFpVvw/AVwH4t+LGfDJwfcn+\nYK4GLY34RnFbYZE611zHd40IIWJ6sz2GCIt4ftP29nzX9bqfR1oEDBMY6zJiyP5D5/vW9a0fg+rG\nTIpdYFzYlfhjtut3w13fL0P+G+raxwBraQBhMRYYsbiIMy7ikUM6uom4eWlIjaacCDOCVAHNRtPa\n3836ZEKfyEiJhiEZE/H+7fV969YauSWbMyl2gXFhR4KsALYXFtW5drhpbbeli66uIBlW69keUV0L\nJzBuNsRFlXGhzcKbqW4i7aFQATQERliu5k3/a1nJiLCsbdGQWNfOgIgyJQB0iolUxkS8n1u//trP\nISfqiwsKO9st/2xxgZJiS6YUFkOu0UXfTXDXjfOaoICgkHh767l5cTEk2wLAWsaFe3QjijRFRfOb\nW9YhK9rtdevq552WFd1CIp7vkhLA9mKifewU6EyFM1X1TwF8U2L9AwC+z8//TwB/ZZYGnBhTCosh\n1+jep/v9133j3PyciUjjO7NEedddwiG1btO+8WN7PrXc9zw2CYRd1m26Rt+6IdvGo71/553OzLgw\nLVMKiyHX2Gafrvdm+79fkdbz0Xq/0DXE152Ii3JqItsCWM+4CI+KtKjQsHNXeE09jai9gzMfUsd0\nSYn2dceIibVGTQDjwiKYUlgMuUYXfTUpum6QU91RSqnPk1VdRG5FXb9zGKwa3UVE17MtGt1EFIjl\nBYBacETrKtrLAU08x1a2g66t7xYSbl2/lGjvP0ZMdO2/LQrAzpRJMWdcoKSYgJRMGCouhoiImK6b\n3+5f8oeIDrdPHoZLjbqABHlRjVISSYuQbRFqXKTqW1TL0fq8R1QMZU0oNERFuwtGWjb0SYn2vvUx\n+xMTFSrQ+TIpyEzs0p1jfPeN9Htvl1/y291ZgsSI5UUQF5tExZjH9vwYxgiFbbtqHFZMNJkxk4LM\nReqjOvS/wbH/xYz9xX7Q+f2xoc3hLRjLC6Pr0iIc49el6lsg2rXRlQStfccyQigkJcamc6S2d61L\nXmhCVOccgpTMREomDBUXQ0RETJeU6LopLgeJDj+SoG9zXAA0yAsnLprSImRbxNLCbavFBYCGvHAC\nMx55pENMbKQlFKJMkHatiFT3Dfc8u6WE2344MdFEUM6XSTEby2vxQhgrHzYxRk70iYnedrU2FdCG\nuAjSIu4ukpIWbn1CXHi65rclNQTreq2IfiGROsYd1/93nE1MtJixJgXZI1PfsI6RE1PdSKtqQ1wE\naRF3F9lVTEyRhTLkNdhWQGx6veYUE60L7ec6ZF6m/m9kjJzovZEecw1tiosgLeLuIop1adGQGX7P\nqFhn/BVhiuS05EdmU62IIcd0rdt48emZK8OK7Jex8mETY+REn5go+26kW5/REkVDXARpEXcXCd1E\nYmnRyLbACtDQdcTVv5BI4EhX9sQINJFpoa3nuUlIuH3GSYmuY6ZGdb5MijmhpDhyxnbnSAmKocKk\nvV+mkj5fJCNiaeH298utLhbxMKq5ND8oc4kKoEfudAz7OreU2EZeqQq0WF5wIfMxtjvHNjfaXfs5\nKZE6XxnJi1pahP3j43bp5jGGsZkk22ae7KOWSOoYa+f/ckMWxNhf7pMjSgy8Vns/aZ0v7gYSPsux\ntIizLNrFRjuyGTTeZxc6Jc7I/eeWElt93dA5a1KQBTK2O0dKUPSKiZ79MuTN82l93SAhYmlhNK+2\nhZt7g/WuFu2hUdsjkGxDl0xIyYjwHMacZ9NxQ9lOXglsubxb/uW1+BqxT0GRvEar7kZ3hoZrZ1tY\nuDY1pUUGaQiFTE3v80yNgjJGFHTJCGDYkK5TZEpMkVWjJSUFcexTUGy6RpewcFi/f1NYhHO0pcXw\n86YFxthskG22bXOt+c6hsMq0buLZp6BIXiOa7xIWQD0CR1tYAN3SAtFy31s+5TXHPKe+13DIV4Ep\nMiV2/cqhClBeEs8+BUX6+vWxXcKief2msAjtbEqLFeKxCw3y3ucpCYHRJR5S9EmFIUO6TpEpsWtW\njarMWYB/Nma78xGRN4rIYyLyoWjd60Tkj0Xk/X56abTtR0TkIRH5iIh821ztWgrbFMTc7jq6NiWv\nKdq42Y73LaFVmwpYFLDV/qVota6AxQXKav8SikspcSklSrHJ6UKKtalr39QUt689pV8P25i2IX7u\nk3T7Ubgvdl3TgmBc2I1tCmJudx1dm/r2Sy03562f1s/rMgLs2nJ7XWp7PHXt2/Vc+rZtej2meE2n\nYNNzXAqMCzuyr9oHVten5DWxng1RjaihdZtsYgrbVYFSm9sKP6WOs3ACoz117ZuautrU130mnrZh\nyHVGoADUaue0NBgbtmebgphbXUfKtSndnqIhLUopKmkRvnWHdpe4gpWinqJv5gVuwuKqmgrc9Ova\n3+DdVOLm2tS1b2py7btKTl2vbfv4sTSe+0TdftSazulYmTOT4n4APwPgza31/1pVfyJeISLPBfAy\nAF8N4GkAflVEvlzb5eYJgJCNMOw/m0yl90Y51JxoF8/sohRtFAVt1q3Qqn2NG/xW94505en9fkim\nriUxdQ2SJgKcTibF/WBcmIVN2Qdj9o0zHuLlLuIsifZyM1ui8fPqoLbuk+lrhswXF5ysOZmPwv1g\nXJgHkeE30IL+zAMTsiC0udyFopndUGVPoG5Te7SQtWumskD2LOen/hzPWTLi9DIp7gdjw+S4zIRh\n75MMeW82ReaL4VcZ09r/i32JAll0+1lKkS64GUuA9kf+CHzb1LUkpq5B0kAFyu4eNar6PhF51sDd\n7wbwVlW9APBHIvIQgBcC+I2ZmnfUbHsDnSPdJWOTqAjHbkssKoCmrHDbrb+G+3aSGr51bJePzW2a\nt3DUvFKiRcikOAEYF7Zn22JoXUJiiNTYpS5ESlzE5wzPJ4wQ0u7u0V43RdvmzjDYdwbDqRTIY1zY\ngW3fAqbj2E2iAtgsJ/qIRQXQlBVhO6J9Ul6z73O2Tcya+3O774/picQFgLFhW/qyKPrItNUlI6zf\nICrcsdt3J4hFBdCUFUD9fMLQpqnhW/ukgdnidnfugpazSokEusD7iEP8lPUDIvIBn8L1JL/u6QA+\nFe3zsF93LRlyU551SIUu2ZCpDB4WdRvSBTa1tc96F4ohXSOGJ2Xt1k2ji3Yb9yooAPeFsZDu6TRg\nXNiAtDOSkvuk3w9966coUNnFkHoYoStIe5+xXTCGdvOYisN3sXCZFF3TicC4sIkh3+K6PuNdxwrS\n9R2mIlkPQ9f3SY26MbYLxpBpSoZ2FZkNhdqiczohGBt6yAYUkuy6cc86hj7NkDcyIKYmJUfaoiB0\nBWnsM6BrxPi7iOmzJObowjEYFaDIuqcjZd+S4vUAvgzAXQAeBfCTfv3gckci8ioReUBEHvjc4yfz\nRWwr+kTFJlmxjbDoO25MJkZvvY1DyoDE9Q/RhhRiu6cTYNK4cPPmn83TyoWwjZAI27YRFpvOO5RN\n9TYOWW/h8EIi0SbEtT7WpxNg0rhw+fhn52nlUugTFZtkxTbCou+4Md88NxWzPJgMSFz/GD52Cqi1\nndOJsFNsiOPCZy8u5mvlAugTFZtkxTbCou+4ruul6K23cUgZkLj+IdqwhgKwpns6UvbaQUVVPx3m\nReTnAfxHv/gwgGdGuz4DwCMd57gPwH0A8Iw7nnD4b4ozkaN/1ItAX32Kdr2JtWNnzKzYRLsLSBdd\nkmDbth+LdBhFyKQ4UaaOC099ylcu8I88DDdKxua40NeVY1NXijkzKzbR7gLSvd+0bT8G6TCa06pJ\nscbUceGLnnbnAv/IA+nqutGmrz5FqntF49jxzZqMrtE+uvZrs+138EXe0ytgt0v1Xwq7xoY4Ltz5\nxbedbFzIsBrU7aOvPkUQB6ksB3eNw9U5aHcB6aJLEpgRUmTI+Y4bAYrjlRFd7LXFInJHtPidAEK1\n3ncCeJmInIvIswHcCeC399m2Y2RoLYaujIr6PN2ZFbsy57n7SGU8DJmWiCggRfe0dBgXxjGk24fb\nr/9zOWdXj7m7kXSxTReQRQoKj9Wic1o6jAsjGfptbtPnsi+zYlfmPHcfY0b4OKasiK1QWFt0TqcA\nY8NwhnT7ADbXbOjLrNiVOc/dRyrjYci0SBSQwnROx8ps7woReQuAbwRwu4g8DOBHAXyjiNwF99vw\nJwD8IwBQ1Q+LyNsA/AHcAFOvYTVex5iMCqB/eNKUTOjKshhzjk1t6qOA3aow5rVjufdRDRgXpmFM\nRgUwvgDl2Bv3MUJiyL6qdrCMua4oli1YYhgXJmJMRgXQX48h9fEbe+M+5iM8JIa0i26SddwYpIdu\nxWQwNuzOmIwKoL9gZEomdGVZjDnHpjb1UeJqsIy5tiy0AP+co3u8PLH6DT37/xiAH5urPUtmqKgA\nmmJgyDClc2RBDJETZAR6GhkTAOPClAwVFW7f9VE2hu4/FYfsRnKSKE7ml1HGhQkZKiqAphgYIrzm\nEASMC5OivnDmqcDYMA1DRQXQFANDCkjOkQWxzWgcpB+zwG7jfBcshJBtMGbkirHCYle2kRPMohjG\niRTIJBNTD985/A0yVljsynbFOBkXNnM6mRRkYjbVl0gxVljsyjZygmFhAHoqhXPJxIRsgzHDk44V\nFruyjZxgFsUAVJhJQeZnTFZFTFsgTCEtds2YoKAYiAJS8GaEdDMmq6J5XPMzPMVN764ZExQUwzml\nX0zJDIzJqohpf4ankBa7ZkwwLAxDGRdIP2OyKmLaAmEKabFrxgQFxTBEAbPAerqUFAtkm6yKNofu\nkkFBMRL+MEI2sE1Wxfo5DhsXKCiGo/zFlAxhm6yKNofuksGwMALGBbKZbbIq2hy6SwYFxTiWmJFN\nSbFgppAV+4ZyYguYSUFGMIWs2DeUE1uggGVNODKUKWTFvmFYGI1CYXWBP5mSgzCFrNg3lBNbsNDa\ndvwv4ATIYarpWDn29h0zogpT2s5pp3OLfLeIfFhErIi8oGe/bxeRj4jIQyJyz04XJXtBxFTTsXLs\n7Ttu5htqkHHhhDE43FCgQzn29h01rnBm17QLjAunS4ZVNR0rx96+Y0ZUePDyuwAADwRJREFUYYru\naadzzxgX+N/AiXFMwuKY2rJ4rHZPu/EhAN8F4H1dO4hIBuBnAbwEwHMBvFxEnrvrhcn+OCZhcUxt\nWTIKV0Oka9oRxoXrwDEJi2Nqy5JRl0XXNe0I48I14JiExTG1ZemI1c5pR2aLC+zuccLEcmAfXUIo\nI2ZCASnm+fup6oPAxloELwTwkKp+3O/7VgB3w41FThZGLAf20SWEMmImVGcbgpRx4RoSf0z30SWE\nYWEmGBfIdMRyYB9dQigjZkKxc8ZE56lnjAuUFNeELoGwrbygkNgvctihBp8O4FPR8sMA/uqB2kIm\npEsgbCsvKCT2ycEL5DEunCpdH+Nt324MC3tDAehhC48wLpwoXQJhW3lBIbFfJsiY2IWt4gIlxTWH\nsmEBqG7KpLhdRB6Ilu9T1fvCgoj8KoAvSRz3WlV9x4AWpPQoK3meMJQNx49u/sWUcYFMC8PCAlCU\njAtkj1A2HD+uJkVvoe2jjAuUFIQsAdsrKf5EVTuL1ajqN+949YcBPDNafgaAR3Y8JyFkR7T//3jG\nBUKuG7oxw4pxgZDrhm7MpDjKuEBJQciRI6qQ8qBDDf4OgDtF5NkA/hjAywD8vUM2iJBrz4w1KQbC\nuEDIkaEArDIuEEJilnkfweQ9Qo4dBVCW3dMOiMh3isjDAP4agP8kIu/2658mIu8CAFUtAPwAgHcD\neBDA21T1wztdmBCyMzMONci4QMgiUZR61TntAuMCIQtFASmKzmkX5owLs2VSiMgbAfwtAI+p6tf4\ndf8BwFf4XZ4I4M9U9S4ReRZcoz/it/2mqr56rrYRsiwUMlOBPFX9ZQC/nFj/CICXRsvvAvCuXa/H\nuEDINOiMhTMZFwhZJowLjAuEtJGF3kfM2d3jfgA/A+DNYYWq/t0wLyI/CeCz0f4fU9W7ZmwPIQtF\ngfKg6ZtTcj8YFwjZncN395iS+8G4QMgklHrQtO4puR+MC4TsjipkgfcRs0kKVX2fN5triBtM9XsA\n/I25rk/IyeA6mR66FZPAuEDIdGwonLkYGBcImYjNhTMXA+MCIRPSX4D/KDlUTYqvB/BpVf1otO7Z\nIvK/ROS/i8jXH6hdhBwhCtiiezodGBcIGUgYgrRrOiEYFwgZiEJRatE5nRCMC4QMRRUor7qnI+VQ\no3u8HMBbouVHAXypqv6piHwtgF8Rka9W1T9vHygirwLwKgB44l/i2LzkmnA66Zt9TBIXvvALnrqX\nxhJyaE7lF9MNTBIXbnzRk/fSWEIODePC8Ljw5M//vL00lpCDs8C4sHdJISI5gO8C8LVhnapeALjw\n878rIh8D8OUAHmgfr6r3AbgPAJ5xxxNOI9eVkD70pGpSJJkyLjz1KV/JuEBOn9OqSZFkyrjwRU+7\nk3GBnDwhk+KUmTIu3PnFtzEukGuAAvZ4Mya6OEQmxTcD+N+q+nBYISJPBvAZVS1F5DkA7gTw8QO0\njZAjRHceUnABMC4QMgKFwp74zQgYFwgZhQIoTj/zknGBkDHoMu8jZqtJISJvAfAbAL5CRB4WkVf6\nTS9DM0ULAF4M4AMi8vsAfhHAq1X1M3O1jZAloerSN7umJcG4QMh0MC4wLhDSwBfOZFxgXCCkRl23\n8a7pSJlzdI+Xd6z/B4l1bwfw9rnaQsiyUegC07RSMC4QMhXL/GUkBeMCIdOgUBQnkmHFuEDINLhC\n28u7jzhU4UxCyGB0kQVvCCEzotemQB4hZASnMjQxIWQiFvp9gZKCkGNHcfIF8ggh47gmNSkIISO4\nJjUpCCGjUFhlJgUhZHJ0kQaUEDIvjAuEkCYKy7hACInQhd5HUFIQcuToQg0oIWROTn8IUkLIOBRA\nyUwKQkiLJWZeUlIQcvTwZoQQ0kR1mYWwCCFzoihASUEIqVEoygX+2ElJQcgCUCwvTYsQMifLTN8k\nhMyHKmCVhTMJIRG6zG5glBSEHDmqinKBaVqEkHlZYvomIWQ+3BCkzKQghNQstRsYJQUhC2CJBpQQ\nMifMpCCErGM5BCkhpIHCLjAjm5KCkCPH9SXjL6aEkBpVhbJWDSEkgpkUhJA2Sx2amJKCkAXATApC\nSBtmUhBC2rAmBSGkiS4yLlBSEHLkuEyK5RlQQsiccGhiQkgT94sp5SUhpIaZFISQuXi3hb29Z/uf\n7K0lhJBj4d2qjAuEkAbvtlDGBUJIzCLjAiUFIUeOqn77odtACDkuGBcIIW0YFwghbZYaF8xcJxaR\nZ4rIr4nIgyLyYRH5Qb/+NhF5j4h81D8+ya8XEflpEXlIRD4gIs+fq22EkMPAuEAIacO4QAhpw7hA\nyPVmNkkBoADwT1T1qwC8CMBrROS5AO4B8F5VvRPAe/0yALwEwJ1+ehWA18/YNkLIYWBcIIS0YVwg\nhLRhXCDkGjObpFDVR1X19/z8XwB4EMDTAdwN4E1+tzcB+A4/fzeAN6vjNwE8UUTumKt9hJD9w7hA\nCGnDuEAIacO4QMj1Zs5MigoReRaA5wH4LQBPVdVHAReAADzF7/Z0AJ+KDnvYryOEnCCMC4SQNowL\nhJA2jAuEXD9mL5wpIl8A4O0AfkhV/1xEOndNrFsb1FVEXgWXxgUA/+9HfuxDf4ojrUqa4HYsp60A\n2zsnX3HoBhySuePCv/m5b2BcmA+2dz4YF2aMC+963d9mXJgPtnc+GBdmjAt/89//IuPCfLC983Hy\ncWFWSSEiK7jA8guq+kt+9adF5A5VfdSnYT3m1z8M4JnR4c8A8Ej7nKp6H4D7oms8oKovmOUJTMyS\n2gqwvXMiIg8cug2HgnGhyZLaCrC9c8K4wLgQWFJbAbZ3ThgXGBcCS2orwPbOyXWIC3OO7iEA3gDg\nQVX9qWjTOwG8ws+/AsA7ovXf66vzvgjAZ0M6FyHkNGBcIIS0YVwghLRhXCDkejNnJsXXAfj7AD4o\nIu/36/45gHsBvE1EXgngkwC+2297F4CXAngIwOMA/uGMbSOEHAbGBUJIG8YFQkgbxgVCrjGzSQpV\n/R9I9w8DgG9K7K8AXrPFpe7bvMvRsKS2AmzvnCyprZPBuJBkSW0F2N45WVJbJ4NxIcmS2gqwvXOy\npLZOBuNCkiW1FWB752RJbd0KcZ9pQgghhBBCCCGEkMOylyFICSGEEEIIIYQQQjaxWEkhIt8uIh8R\nkYdE5J5DtyeFiHxCRD4oIu8PVVhF5DYReY+IfNQ/PumA7XujiDwmIh+K1iXb5wsR/bR/vT8gIs8/\ngra+TkT+2L++7xeRl0bbfsS39SMi8m37bKu//jNF5NdE5EER+bCI/KBff5Sv76nAuDBJ+xgX5msv\n48IBYFyYpH2MC/O1l3HhADAuTNI+xoX52su4oKqLmwBkAD4G4DkAzgD8PoDnHrpdiXZ+AsDtrXU/\nDuAeP38PgH95wPa9GMDzAXxoU/vgihH9Z7j+gS8C8FtH0NbXAfiniX2f698T5wCe7d8r2Z7beweA\n5/v5LwTwh75dR/n6nsLEuDBZ+xgX5msv48KeJ8aFydrHuDBfexkX9jwxLkzWPsaF+dp77ePCUjMp\nXgjgIVX9uKpeAngrgLsP3Kah3A3gTX7+TQC+41ANUdX3AfhMa3VX++4G8GZ1/CaAJ4obn3ovdLS1\ni7sBvFVVL1T1j+AqPb9wtsYlUNVHVfX3/PxfAHgQwNNxpK/vicC4MAGMC/PBuHAQGBcmgHFhPhgX\nDgLjwgQwLswH48Jyu3s8HcCnouWH/bpjQwH8VxH5XRF5lV/3VPXjNvvHpxysdWm62nesr/kP+LSm\nN0Ypb0fVVhF5FoDnAfgtLO/1XRJLeQ0ZF+aHcYEElvIaMi7MD+MCCSzlNWRcmB/GhSNlqZIiNSTR\nMQ5T8nWq+nwALwHwGhF58aEbtAPH+Jq/HsCXAbgLwKMAftKvP5q2isgXAHg7gB9S1T/v2zWx7tCv\n79JYymvIuDAvjAskZimvIePCvDAukJilvIaMC/PCuHDELFVSPAzgmdHyMwA8cqC2dKKqj/jHxwD8\nMlyq0KdD+o1/fOxwLUzS1b6je81V9dOqWqqqBfDzqFOxjqKtIrKCCyy/oKq/5Fcv5vVdIIt4DRkX\n5oVxgbRYxGvIuDAvjAukxSJeQ8aFeWFcOG6WKil+B8CdIvJsETkD8DIA7zxwmxqIyOeLyBeGeQDf\nCuBDcO18hd/tFQDecZgWdtLVvncC+F5fPfZFAD4b0o0ORauv1XfCvb6Aa+vLRORcRJ4N4E4Av73n\ntgmANwB4UFV/Ktq0mNd3gTAuzMdi3reMC6QF48J8LOZ9y7hAWjAuzMdi3reMC0eOHkH1zm0muCqm\nfwhXcfW1h25Pon3PgasM+/sAPhzaCOCLAbwXwEf9420HbONb4NKbruAM3Cu72geXRvSz/vX+IIAX\nHEFb/51vywfgPpx3RPu/1rf1IwBecoDX9q/DpVl9AMD7/fTSY319T2ViXJikjYwL87WXceEAE+PC\nJG1kXJivvYwLB5gYFyZpI+PCfO299nFB/BMjhBBCCCGEEEIIOShL7e5BCCGEEEIIIYSQE4OSghBC\nCCGEEEIIIUcBJQUhhBBCCCGEEEKOAkoKQgghhBBCCCGEHAWUFIQQQgghhBBCCDkKKClIAxF5poj8\nkYjc5pef5Jf/8qHbRgg5DIwLhJA2jAuEkDaMC2QqKClIA1X9FIDXA7jXr7oXwH2q+n8O1ypCyCFh\nXCCEtGFcIIS0YVwgUyGqeug2kCNDRFYAfhfAGwF8P4DnqerlYVtFCDkkjAuEkDaMC4SQNowLZAry\nQzeAHB+qeiUi/wzAfwHwrQwshBDGBUJIG8YFQkgbxgUyBezuQbp4CYBHAXzNoRtCCDkaGBcIIW0Y\nFwghbRgXyE5QUpA1ROQuAN8C4EUA/rGI3HHgJhFCDgzjAiGkDeMCIaQN4wKZAkoK0kBEBK7gzQ+p\n6icB/CsAP3HYVhFCDgnjAiGkDeMCIaQN4wKZCkoK0ub7AXxSVd/jl38OwFeKyDccsE2EkMPCuEAI\nacO4QAhpw7hAJoGjexBCCCGEEEIIIeQoYCYFIYQQQgghhBBCjgJKCkIIIYQQQgghhBwFlBSEEEII\nIYQQQgg5CigpCCGEEEIIIYQQchRQUhBCCCGEEEIIIeQooKQghBBCCCGEEELIUUBJQQghhBBCCCGE\nkKOAkoIQQgghhBBCCCFHwf8HWBFA5GZV4s0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(18,6))\n", "\n", "ax = fig.add_subplot(141)\n", "cax = ax.imshow(Z, cmap=cmap(), interpolation='bicubic')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_title('Default')\n", "cbar = plt.colorbar(cax, shrink=0.5)\n", "\n", "ax = fig.add_subplot(142)\n", "cax = ax.imshow(Z, cmap=cmap(0, 0), interpolation='bicubic')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_title('Start 2, Rot 0')\n", "cbar = plt.colorbar(cax, shrink=0.5)\n", "\n", "ax = fig.add_subplot(143)\n", "cax = ax.imshow(Z, cmap=cmap(0.75, -0.75), interpolation='bicubic')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_title('Start 0.75, Rot -0.75')\n", "cbar = plt.colorbar(cax, shrink=0.5)\n", "\n", "ax = fig.add_subplot(144)\n", "cax = ax.imshow(Z, cmap=cmap(0.75, -2), interpolation='bicubic')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_title('Start 0.75, Rot -2')\n", "cbar = plt.colorbar(cax, shrink=0.5)\n", "\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Awesome!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## JavaScript" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Dave Green: \"Mike Bostock has implemented and extended cubehelix in JavaScript as a [plugin](https://github.com/d3/d3-plugins/tree/master/cubehelix) for the D3.js visualisation library ([see examples](http://bl.ocks.org/mbostock/11415064)).\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Colormap hack" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I want to generate something that looks like a colourmap just by combining R, G, and B channels. This is for our **pick this** project at the [Geophysics Hackathon 2014](http://www.subsurfwiki.org/wiki/Geophysics_Hackathon_2014). " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0,1,900).reshape(30,30)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "r = 2 * x\n", "r = np.clip(r, 0, 1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "g = 3 * np.copy(x) - 1\n", "g = np.clip(g, 0, 1)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "b = 3 * np.copy(x) - 2\n", "b = np.clip(b, 0, 1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "opacity = 1\n", "a = opacity * np.ones_like(x)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(30, 30, 4)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "im = np.dstack([r, g, b, a])\n", "im.shape" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AmYqPZPoGz0ee93d6Z3hZuRDwW1g9RDVptFMr7TB0yI6JOmcXxzqRfjbvQvB9\n5Hkr1M/w6mLqD2DYvqihfmbF1kmpAsLSSeMyDU+n+rmewJ+pppZBMPS6vgTC1hs2H+noNjUeHLsB\n+7pojHYVnEvOpRbgIu0quLD5SM0ugQwPQOvSSbQflVKe0uVUkHwk0idoPuIL0T9xJdqP0oWQ6wsw\nbH2l6CPRfsG+tGNJgDK8SF/MLGJrIdvMIrYWMpW5oVT9iPYLdYYX7e86+1KsJmzZwNJn8xiEoY+C\nj+QlgBleFOM6yCmWq5Q2NVGdQeLs2kd8cZThAczcbJrOMiZ2Y8qcS81HqjjKPpITwxnehwuEs/+K\niq1znmmsifFTCfAg+Mhk3yCuK6cZHiDajW3YjDKmuFDljJflCX7wRgVjOkNQO6+7PkeqYMLG2dW6\nYktAL+1slIA2d2Rbtmye58PGmeK6GisBubRzvRPb1mWzpLURmBjton3Dvq7YQrSkp3YesrGYbWYy\nXXsifcLGmeq6ulICVNJTCgjX7SbGg2EzbJwpriu2EC7pXV9qYeulUj5i6o04i2NN6ZWzS+gPYLjO\nqCq4oGV5XZu67S44h3FdFRfiXyZZiiUZrw+1gDJ9NqYaMEFaV+L2ApThsfrIOoM6Z8zxYLSL9LPJ\nmYKPZPuHMsNTDEwMO6J9MezYXshB4GzLR7L27GwAxB7LYTrDli1KnLGCikpwYumh5CMsPWpZnsBj\nOezznY1dmRJniuPB0Onyos6UTvd3N1cJ95SWsks/yWRfzutxeT9lgm2sHx5mbHsy+UoRm4V02OOc\nTP5eYEwy45Udz1j9yeR/IfgBl3My+Z+Kts2tq2TyIMOm7JzoYIuLpYB/Jef1VQUI5rax2nm4Ytix\nbZcDi4e1y/lycImMR3y88u25nA4y+orqxeWcTB5w5qPinHolsLqcWW3FxWDARxJJJNQkCvhIIgmR\nGPtuOXSlkUQSibBY/TLJSCKJhKZEJX0kkYRIooCPJJIQSRTwkUQSIjEe8Hv37l08Y8aMt6dNm3a0\nq6urw7Q9UUkkEqk5c+a8Pnfu3EPz5s3rc8Fh3bp1T8Xj8aG6urrD2fdOnjw5ceHChb+bPn36O4sW\nLdp3+vTp8a45dXZ2dtbU1Hw4d+7cQ3Pnzj20d+/exTY5DQwM1H7ta1/7j9mzZ7954403vvHYY4+t\nB3A7V8U4uZ4rrvi+b+zn/PnzZddff/27x44dS5w9e7a8vr6+/8iRIzNN2hT9SSQSxz7++OOJLjm8\n/PLL8/+LIRwcAAADVElEQVTwhz/MvfHGGw9n3/vBD37wSFdX10bf92HTpk0dHR0dm1xz6uzsvH/z\n5s13u5qndDpddejQoQbf9+HMmTMV06dP/9ORI0dmupyrYpxczxXvx2iG7+vrm3fDDTe8m0gkUuXl\n5edWrVr122effXaZSZsy4hd5dGFL5s+f3zthwoRTue/t2bNnaWtrazcAQGtra3dPT0+za04Abueq\nqqoq09DQ0A8AUFFRMTJz5sy3BgcHp7icq2KcANyvK5YYDfjBwcEptbW1A9nXNTU1H2YnxbV4nuff\neuutLzU2Nr765JNP3uGaT1aGhobi8Xh8CAAgHo8PDQ0NxV1zAgB4/PHHv1dfX//Htra2bbaPGbmS\nSqUShw4dmnvzzTe/QmWuspy+/OUv/x6AzlwVEqMBT/kDOAcPHvzKoUOH5r744ovf/MUvfvEPvb29\n811zyhfP83wKc/jd7373l8eOHZva39/fUF1dnb7nnns2u+AxMjJS0dLS8syWLVu+X1lZeSa3zdVc\njYyMVHz729/+ty1btny/oqJihMpcFROjAT9lypTBgYGB2uzrgYGB2pqamg9N2hSV6urqNADA5MmT\njy9fvnx3X1/fPNecAC5kqkwmUwUAkE6nq2Ox2LBrTrFYbDgbUO3t7VtdzNW5c+fKW1panlmzZs2v\nm5ubewDcz1WW02233fabLCcKc8USowHf2Nj46tGjR6elUqnE2bNnP7Nz586VS5cu3WPSpoh8+umn\nnz1z5kwlAMAnn3zyuX379i3KvZV2KUuXLt3T3d3dCgDQ3d3dml1ILiWdTldnf9+9e/dy23Pl+77X\n1ta2bdasWUc2bNjwaPZ9l3NVjJPrueKK6VvBF1544ZvTp0//0/XXX//uQw89dK/rW0rf9+G9996b\nWl9f319fX98/e/bsN1zxWrVq1Y7q6uqPysvLz9bU1Aw89dRTt3/88ccTv/71r780bdq0dxYuXLjv\n1KlT411y2rZt27o1a9Zsr6ure33OnDl/XLZsWU8mk4nb5NTb2/tVz/P+Ul9f39/Q0HCooaHh0Isv\nvrjY5VwV4vTCCy980/Vc8X6iz9JHEkmIJPqkXSSRhEiigI8kkhBJFPCRRBIiiQI+kkhCJFHARxJJ\niCQK+EgiCZH8P3PZxtuDRxfBAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(im)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Show the channels superimposed, to understand how they combine to make this 'colourmap'. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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BHgMeLYVDwDsu0NkVosywwAxDzJK6DcVa4ccV6AnmMFB2gGs8mIcBHay4DSuo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\nFGwhhHAQ/x8obLR1GRRZkAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "\n", "ax = plt.subplot(111)\n", "plt.imshow(im, aspect=\"auto\")\n", "\n", "y = np.linspace(0, 29, 30)\n", "ax.plot(r[:,0], y, 'r')\n", "ax.plot(g[:,0], y, 'g')\n", "ax.plot(b[:,0], y, 'b')\n", "ax.set_xlim(-0.1, 1.1)\n", "ax.set_ylim(30,0)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 1 }