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Transparency in imshow
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Transparency in imshow" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" | |
] | |
} | |
], | |
"source": [ | |
"import numpy as np\n", | |
"from numpy import pi, sin, sqrt\n", | |
"import matplotlib\n", | |
"#matplotlib.use('PDF')\n", | |
"import matplotlib.pylab as plt\n", | |
"from matplotlib.colors import ColorConverter\n", | |
"from IPython.html.widgets import interact, fixed" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Installed version_information.py. To use it, type:\n", | |
" %load_ext version_information\n" | |
] | |
}, | |
{ | |
"data": { | |
"application/json": { | |
"Software versions": [ | |
{ | |
"module": "Python", | |
"version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]" | |
}, | |
{ | |
"module": "IPython", | |
"version": "3.2.1" | |
}, | |
{ | |
"module": "OS", | |
"version": "Darwin 14.5.0 x86_64 i386 64bit" | |
}, | |
{ | |
"module": "numpy", | |
"version": "1.9.2" | |
}, | |
{ | |
"module": "matplotlib", | |
"version": "1.4.3" | |
} | |
] | |
}, | |
"text/html": [ | |
"<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]</td></tr><tr><td>IPython</td><td>3.2.1</td></tr><tr><td>OS</td><td>Darwin 14.5.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.9.2</td></tr><tr><td>matplotlib</td><td>1.4.3</td></tr><tr><td colspan='2'>Sun Oct 11 10:51:42 2015 EDT</td></tr></table>" | |
], | |
"text/latex": [ | |
"\\begin{tabular}{|l|l|}\\hline\n", | |
"{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", | |
"Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n", | |
"IPython & 3.2.1 \\\\ \\hline\n", | |
"OS & Darwin 14.5.0 x86\\_64 i386 64bit \\\\ \\hline\n", | |
"numpy & 1.9.2 \\\\ \\hline\n", | |
"matplotlib & 1.4.3 \\\\ \\hline\n", | |
"\\hline \\multicolumn{2}{|l|}{Sun Oct 11 10:51:42 2015 EDT} \\\\ \\hline\n", | |
"\\end{tabular}\n" | |
], | |
"text/plain": [ | |
"Software versions\n", | |
"Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n", | |
"IPython 3.2.1\n", | |
"OS Darwin 14.5.0 x86_64 i386 64bit\n", | |
"numpy 1.9.2\n", | |
"matplotlib 1.4.3\n", | |
"Sun Oct 11 10:51:42 2015 EDT" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"%install_ext http://raw.github.com/goerz/version_information/master/version_information.py\n", | |
"%reload_ext version_information\n", | |
"%version_information numpy, matplotlib" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def mix_color(rgba, bg, alpha):\n", | |
" \"\"\"Helper function that mixes in the bg color (rgb tuple)\n", | |
" into the (3-dimensional) rgba array, with factor alpha\"\"\"\n", | |
" for i in [0, 1, 2]:\n", | |
" rgba[:,:,i] *= alpha\n", | |
" rgba[:,:,i] += (1.0-alpha)*bg[i]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"def test_fig(alpha, bg='white', chess=False, method='rgba', outfile=None):\n", | |
" \"\"\"Show a plot of an arbitrary function, with a transparency value of \n", | |
" alpha.\n", | |
"\n", | |
" Parameters\n", | |
" ----------\n", | |
"\n", | |
" alpha: float\n", | |
" Transparency value (0: completely transparent, 1: not transparent)\n", | |
" bg: string\n", | |
" color for the background of the axes\n", | |
" chess: boolean\n", | |
" If True, draw a black-white chessboard underneath the main plot\n", | |
" method: string\n", | |
" Method used to achieve transparency. Takes one of the following values:\n", | |
" 'rgba': use a manually the RGBA alpha channel to achieve\n", | |
" transparency\n", | |
" 'mix': manually morph between the main plot and the background\n", | |
" color in RGB.\n", | |
" 'simple': pass the alpha parameter to imshow\n", | |
" outfile:\n", | |
" If given, write the resulting plot to the given file, instead of\n", | |
" showing it\n", | |
" \"\"\"\n", | |
" fig = plt.figure(figsize=(4,4))\n", | |
" ax = fig.add_subplot(111)\n", | |
" ax.set_axis_bgcolor(bg)\n", | |
" x = np.linspace(0, 2*pi, 500)\n", | |
" y = np.linspace(0, 2*pi, 500)\n", | |
" extent = [x.min(),x.max(),y.min(),y.max()]\n", | |
" X, Y = np.meshgrid(x, y)\n", | |
" Z = sin(sqrt(X**2 + Y**2))\n", | |
" normalize = plt.Normalize(-1, 1)\n", | |
" cmap = plt.cm.RdBu\n", | |
" rgba = cmap(normalize(Z))\n", | |
" if chess:\n", | |
" chessboard = np.array(([0,1]*4 + [1,0]*4)*4); chessboard.shape = 8,8\n", | |
" ax.imshow(chessboard, cmap=plt.cm.gray, interpolation='nearest', extent=extent)\n", | |
" if method == 'rgba':\n", | |
" rgba[:,:,3] = alpha\n", | |
" ax.imshow(rgba, interpolation='nearest', aspect='auto',\n", | |
" extent=extent, origin='lower')\n", | |
" elif method == 'mix':\n", | |
" color_convert = ColorConverter()\n", | |
" mix_color(rgba, bg=color_convert.to_rgb(bg), alpha=alpha)\n", | |
" ax.imshow(rgba, interpolation='nearest', aspect='auto',\n", | |
" extent=extent, origin='lower')\n", | |
" elif method == 'direct':\n", | |
" ax.imshow(Z, cmap=plt.cm.RdBu, alpha=alpha, interpolation='nearest', \n", | |
" aspect='auto', extent=extent, origin='lower')\n", | |
" else:\n", | |
" raise ValueError(\"Unknown method\")\n", | |
" if outfile is None:\n", | |
" plt.show(fig)\n", | |
" else:\n", | |
" plt.close(fig)\n", | |
" fig.savefig(outfile)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAPYAAAD7CAYAAABZjGkWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x106ef9ed0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"<function __main__.test_fig>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"interact(test_fig, alpha=(0,1,0.025), method=['rgba', 'mix', 'direct'], outfile=fixed(None))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"You would think that using the RGBA alpha channel (`method='rgba'`) produces the same output as manually blending the main plot into the background color (`method='mix'`). Alas, it appears the the alpha channel also mucks with the color saturation, not just transparency. Strangely, though, passing `alpha` directly to imshow works correctly. However, this is limited to a uniform alpha value, whereas this exercise is in preparation for having a different alpha value at each point." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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ONWHzFLSYQbwBtwA3veJyvK+n/Gf/57+Iv/QzP3U33UPAdve/HL9/xcy+D8Cv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\nzsA+y1muoZyBfZazXEP5f1y4nmesgsR0AAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1071dfad0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"test_fig(alpha=0.5, method='rgba')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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3V/2eheZMjXHwi6em7qWufGCckSPXXdJhfFEgQ3cBJdLmUv+ouY+dR95gqH0E\nuG0+wX02fXrGxpqJgdE4O7B5AFp822m7BeDrMQh0IMEeIC7fLUhnvq5X151AAXnR5rMufxiuVz0+\nheqND8tcndZaFr749wTACdTmYfnWCth75tgb895psA0FLbjZ+cQYYps55wdzzdF4cM5NexvrIuvP\nSb0OdkseWOqLdyWUwGVoPuruRsfsanLw9vJ5BW5dgZtApiM+ae4PMtT8nJcAfCO4l2baYnoK2CLy\nvwL4szB8vFfV75q/82paMvE8TUDNfSeGvgJ8Oca8XwW6TvtoAbmtlyXIB20+6fJHLH4F8K59zeAV\n4IWdIc7YjAZCg0/bN41uo3E+PDfqdf8BgxEHlC6i6rqXZh0Bb69/ZVzdvI6dsKPWrj3G7Er7NYOm\nEVeAvAlSF6NESUV300zjtCT0Bbh1H8Ed9SwV3L49wT1r7pWhFg/UrLknBn9VGmwA98n0LGMrgO9X\n1Z9frXwqj12PdDKtctqx/7SfTgvGr5DD8tDe9XwUoYzE50Onx+fU51Wbz7qcmrxq9EyZTZ8nLd42\nc30C2H3W4T0KXeAFLtGZxDW4iEC35tv59s2qkyzPzRepa9HfJQT34gyabVnc0v3C5AAPZtYZc3ur\n5qw/dipB7YBR5u1j9hJjQUuz7GG8KZS6mwBlcRnQUN88ws4jXveT/zws7+KaGT1YWglqdebexDuT\nYBy0AaPmrkUsobWZQVl0HFm9deQwQOIbDLVHBtqHhOKnR3lYeKbn4Xid5nC67g+MmjxC58V3DMfR\nkd1XzD6zeoTucQg9anOYLhcy71W4TiZ3Vpi1eEcfWbzocDPSNFxx1NCcGnxrSVuFjVvT1N/e2QRb\nMnPo75L/DjednyP3rRH6CdS1t2K4s0O3UDrnzE5rAtZD85FpXZoA/kCl7t74XV6K+m7DoeR08Yro\ncl7+/cHIHg3QIeeyVhserDV3zXt/SCoMLwrLJzPtbPoQxv4TIrID+H2q+m/P3/Vo6hfXff6ms0ag\nzzkOvQD7CXjPgP4MyIdtHOQ8bLsI16se7+AoGLzR6U1dhelta+h9Bwd0CIZs/lA4gGVrkQcPzb21\n7GwCWIqMaTD4d201PLfHIvqA20zWnsPZu2hvw/zYR9jGXeOtEGN5HcHO5rNWq/ElBtTdAOL1v6KI\nARyGR0GZpD6ZpkIWa2RhQ0O1ukwuNfdgqE2VaQO44yJ8grB8NtMW07PA/g2q+r+LyF8B4I+LyP+o\nqv81V/6O1c77AAAgAElEQVSB/+KPxoZ/01/3bfjV3/ptw85V3z4znTUCq45hj8DeB0DbtAL6MyAP\nbY6yDcr+OGfxGF7JHwwAYbh1tNDhUZk2Axz2IFgOdjeQdge0MK/dEuSqabBpyYG3ZG/Zjq64LbOT\nG3Lf3skEYgBF45UpLEtjrYC9VqyhuOShw6Gude3Bbm4qXunuLVrTctuVC87BTYc/we2aewD3ueYO\n06wYarORFn9dBqUr7jX9Vy8leGL62Z/+SfzsT/8PPncObvnQkjcR+RcB/L+q+nt9Xv/o7/yRDzqG\n7ffcdnNK7Gr/mennbeqxRgd9tUwO21SgA3ZZc9m4fl4eHTxWWnxraRKJm2dFh4ehJmOInhpcXFO3\n2E+2kufmvAjazeJYbttulrOG62O0FgBn+kva9FkEcnuXHU78n5bPkDpgo/3rQLw1tMNyzLta49W9\n4ez+2f6lht7VBkXsCv9ry3o3j+e+9xg0URV4v/fc1/9xmcKA2/eeuW61QRJ798ESAfvry6CwEmLX\n2ard/9o8KG2otX0dAKDbPMAoqK8/24f5sb6cfugf+c3QhQ55yNgi8pcA2FT1z4nILwPwGwH8cN3m\nkcZehdaPzp8P+lmOvC001YHpp7C+snvdf8Xq3Qq+A8R8k8aBzb0A4xCuw4057ldC9dDiYnXtbWJx\nM2uAwU13nbxi8NTgE4PP+rsJ+h0D21vOXI/hOZB6u3721Jjue7J3dc7rPVRx11hhabENYGhee3kV\n3T2nxAbd7acNZJELTTV41JNvG1k8H75sdzZmPcA4RjkyOnDNneG5v+HSWdq2MyY+hOOelstQ+xiK\nH5Z/hJk2T8+E4n8lgP/QGeYG4A+p6n/6IV/y0FwrE4F19dtE1oB/BPYays/gPGw/g/gkZGdjQee8\nrlecheoJcI5yxM/YNXQ4ZEyXde1WyeYhegW6PeQ9NPXQcaTob2s0XIuru8B9EZ6r5b7tKPdhcIdI\nk4WxhhKKc1BFddXRvL83zB+YClpm3Z1XzW8CQ++In9Xbqbh5QHcXfvDxzoHNy8KedLOhlrnvo+Zu\nzRrDobbc9xlSYAT/WY57UXoa0wvA/RDYqvqzAH7N9TYf/sVnofhVI3AF+hXYZ20/MzqBfmauPQL5\nisVXplt11e2mrRl81uG16IUAb3yY1HqXyeaspqXQhQ46cNDfvWpxf0gP5hpP1cNKub0LQEdNOoDa\nqQRbuRdIPWsWo5+Lu9u1oOWguxFkCeNvm8niFUSGoYK78Yb5Q/II2FaSKmtDDRInc1bEQpbmSCwQ\nPTD2BznlMi7/WHC/pPLsLdMz5zyDfwX6M7AvgT7d7DM2j5B9AXJuV0P1GNNdj6Yb9BjGXzH4wUmf\nAL5rR9s8POd+rr8PBtuBvStjSbl2k7kGRGguAPT+3nQ3gOjnzX2BUtQC5KDFWsBdL7otY08xv1uo\nnUWATIeRAwGJkVGHFoA8T3nT2dAdgT0vCwlcwP2oiCXqD9xt40gsc1/ug6lmBz4vYFmlxD4C3C/v\ntvnWaUXgz+jwU4bX4zN1yJMX4M4VbAcHPbAuw/nWqrXVusrwfAxZLENW3+gIIwtfZqOtbQnw3gVD\nsQsLWvY03kD5u3uxCv+qxufd/0YHk63ZQ81QXTqweWFLcwOIn1WBlkUtxtJ7GG8qHSKuy8Oc2zyi\nsHJIaQ2bbJ76ylBc3HxkAyLO3Bw4ETD9Xt9IYsvWmpv/7P7W+Z7DHG+SutjdchUfpMFd8VrYAv+O\naCzrK4WC7RPozTMPywKWqzTYG6evG2PP06Of8SzwK3Bn0NOUqttWVq+h+yM2J/tXJl/qcUyh+onZ\nVkP7DXpIlw26ewrRPeKFMlSfDLaGnjXlHopHeA5keA4POYHIk7MBCm6k9qbZ58e05zzDdNPqdgcy\nNGfD56xWdHeYapCo/KOp5ncLHFtN7aQRT4UbbNKB+4nmtl3kdJ6vHKopLsDNy5jnMmTYb+5jGGmK\nljr9UQGL4pOZad8wwH40rX7aM2A/A/pDkK8MNSx0+SIct32yAajrlmYbjkZbK7+azvlZiF7z4LWK\njT90d6Mtqj0AsGqt+We7drZddc67Ur9qVq0B0DuyqAU4At21+TE057z/Qv9ummoCi2C6pKmmHuFw\n/LRbgC3BTYONvcPqMEhxHy+AbQuAXSLKdqsjBH88QJHV8BPm6KfB+P65FrCsH+CRrV/Zj/svGGCv\npmfAfgb0K5ADT6TGcA1ihvOHdTiabVWHE+CsamPBC53zgwbfmtVWfgh701zz9FcrrnmVxdU1HqrW\nVJOZ/SKH1ibQAei+T8wtR93N2NlNNTD81TTVtGjwrhaWc9ilu4PbBncgi1pnmPsE7hnISx0O5KuB\noy1Uv3EWh1dG5uinvecYaWF+AqG1r8y0T9Eb7C9oYK+ms58eunexwarS7Sw1tjLUqjG2CsVtk7UW\nP9PhBPgOe8g3caZzDd42MYD3Hh1OZJNBf/NgrGSzh8ad980fStfUEB8aee/RmYTau+mWGt07l8A1\nNjuLDBq7dRs9tXQmMd1tlWkH3d0Avn4oBnAQ09GMoqjBRTzU9rDcym4VQIsSVBps0iysnzuPnGnu\n0N1+b7XbNVTFOFiDl6fygbL2rID7oLv9YeJgDQ7+h3obeLNT/k0H7LOpXo4rVp8ZfXbda8i+YvI5\nVF9p8TMWr8t1Xu4s3ZxBVgzegEF/d/QocBl+eEvCqbnvmvICUnurSI6eCkQIH20HGZvvHeNXSS8N\nFU5SYs6CUYoqBn5IyVcT3IjuoFqWwx3zWkceOpy2Niy4qdNlSszBy+7fBl7jXEstio+QipIOc3CT\noVelp/621NM02COn/MnpLxpg1+kZkD8Tsq/C9TlUX5ptE8Nb2JnLLQRda/AxRL822Hi+Nf8d4Xk3\nhmfue/jRcTH8nF1zW2Og/mojYw/ZbFy16CzhFzFSYrWnGHBMiRVwCXIAB/EyVGuX0kQbc90JbmUj\n0AzcQ325g/tDi1giZ85DueaOfLYCl9VpRTsz7z2nwT6VmfYXJbDrdAbyKxYHRpCvWJypuKcZ3ENx\ndphYafBY7l9A9s4DjgZbBTrZezbXZud8YOWZ4lxD81ocXHMtXUFBUymvc4C/6u6+Z6UakGWoflzx\nMc2rQx6lIAFuJIgd3MZwMoB7NtTGSjR7+UBzGcB/PeP4ALdKNdjmnmBZwFKdchawDE45x8nmNHUS\nGcLwYbvH4H4JsBcSFcC53v1GnebzPdPlc/78qrhl7ko6a+pDv28cNTjgTrEvE7j77A2FMbL6Z2R4\nTv3N/LWMHUzs5Xaj9tamHg24dt072s108zB4g25oTbH3Dtkb2k1Nt3s1mnqBjLZj7nvQ3Q0Yhl8C\n2TpLU1e5bkYuvV4tDz6Yx7731NzWdnKsuFFzMw4Q/yyC+EftvpJm9NAiHIdXBHJLDy9EbWx0BcZB\nGvxzDH6xR+LTf+VisIYn9fYnZewzwJ9N32gNwSM2X+nxD2HxVZg+sPXgsq8Z3DpS+MgzfQrPNwST\nz+F521CqcvIHsMGobySxsNshxZpzcZZyVh9Cc9XoKDIzdnyu19fRKA1TaO6m2pTrTigC0Zkk9wCQ\n9eX3ErtvmXMEkJp7ZO7xqdXyZbzPMdYdswYWcI2lp7EAyLeKlHdzO3MPD9kTTvmzevs1jD1Lszci\n9BuZ+VcgP+bBbXoE8GV5KkYgz/p8BfoECKOAUX83tMFcq+E5c98H7S01h9yDgRh282Z3YAjVl6F5\n1d1YhOY8XsuDCFLX2rV23d1QOpDYN1Rws193XBH/HDgNQw0Bbgu3S14cJ8CO/Wg68marj7DiTjkS\n3BAgRmC5MNMe1pQ/0tsn0ydh7IvvO52uGoNvNMDze89YfBWmfyjAD2baAvRzDhy+XbB572v2Lrnv\nlfbW5h1JqrEGgleGeWvEtGLzWnfTSKOpBgC4lRhX/A2gOhhdPHC+CXQEtyJ9sqqtb9UVz8AD7Diy\nYQZyBNjWNVQ0Q3NliM7ju1OurrsZ6gsOTvnSTCsO+bKIpQzQcKq3T6aXALs93iSmucyT01VjcPZ7\n5l0+N9AfARyoD38ufwbgs4tOVj5jb4FF1lWnZ/IJTIgjnsg5NOemG9B3Y4VqrNnJ6CFnZA+ylA4d\nsDSZKtqtMDMAJn+XLM4eYpQtcKLyirosQVWIbAM7u0K2zw5uq90RM7eCvQ3ofOnfquxUXZ937bDi\nu+kpo1PuhgcLxcxYG53yR2bawSFn5Vq45HoMwxfpsNX0SULxq4mpzGcbH7aAZ9MQDp9t89xXvXl6\nFKY/W3e+7CWm6ZYHwGHAlQXoa3jOvC/NNXGTh51Lmhe01MKWpqVTSTHWOGpr1ptrFLREVZobaTTr\nACCGQNYW4l62DqXRhsriHXKDv21kQ/TthptOcI3fAPFBG6QYavzcYejuan9F+B6wFiPqciz8yPRB\nwjzzO4UmHTTY5iKWsB0E6F4DHHh3cJ+ZaVG4wgeFZadP5Lf9YgS4z6YXMfbzyCZbPWoMwp84PQ6W\nx1lmB+r6Ryf4kdMVyM90eK0f1/R2Thn8LEU257+3sm+8KdO/QJrm87Uj2Dt16/gjDuyNMTTX5g1A\nvRYi4xtKUO0toI7OEuuiDNXiDwO+BGKkbVB/y2mTLbJXhOSoufltSKBHmJ5huTG3XZddpAQlLd70\nyfdsi8BSYr6fLcvjkrkhcujqOdeUQ54vOyW4TwdnmKbPytiqzzUCnWx1cgzgCPhngf65Qf5Ihy8B\n/oHValxmGE33fNdirsFhMjnnjIgeGWs8WQNPeaB4ru9xqDXvGJfJVIlmEXJZFuErxly3RyJx0NIC\nEdxFqQ6auw61xNCcYTlD9LANmmJbdBRRnQ22/P4009Qvh8RbiiPabIuyU/cRHhavlHPhqLZ1cIaz\n6bNq7GeGIL4C/wrwHwP0zwHyRzp8Bjg1+NyF9MxgG8P2LDudzbVkeQtXt6q9p7QYDbbuLydQ+5Iw\n1AZwL1rgDkC6DvekA2iyD6BW4JgC2yXXEdx9N4LitdTa7RMxlloZ5iCADiB6hdURUDfJsd630Ot+\nGcqJ712sQVjcv2xFsqsnRz2FpN4G89xlOONqpi2LV2imzSmwJ0c3fQmwtxN6nUcw2ZZbTaxaDjUH\nGnQwV9sfR0tZnc850Odf8GqgPx2iB96yETvtNaYLrQ2qzXPtzfBWRLEFe3MkFjYyXqixGXNkJxMb\njulKd4MFF8h1VmcNWy9ibwFo/nI/19vRa4yFLHozrbDBI41tqbmt88jN9G7R3HNBy62p9w7zqSfp\niSJGUGUBixG81a7zLZ9AH5+/jmnsNAM3VEKK9IYsOwWK7kbobe2jQ14HS7yqJz+bPmkoXlMJl2aZ\nHIFp+6/3m5l/xfLzeOPh/HI9v1rGbcop5fLTE3/bNLP4hzA4t3mkv4e0Vw3xp22MsAt715pzT4ud\nheZnupv5bp1TY3ccxlbDfkeMqwZgzHXfY0CIYdAGau6Gwm49UmGzHNjgLx+AdfkkA6tvUMdQa6WA\npQumENz27dMD0XUeO80bjK7eSw3nZadFb8+jnUIBkUlvMxSvZtpi+nyh+AUTA3bxl+BfgH5m40dA\nn0P4t4L86wLwC/1N8J+F5xsWvccm9uY2Q1FLFbKL0Nygfq67CV7dxwvab4tnxYEc46pJmmxxjeZ+\n3dTcFdz+kGeFmg+nhBHoCgEqQBvQ4ueO1WkqiMbJ2jk7Wg6BrEszDQJ39PNFBMpLOQ3QECzN6rsJ\n1If89vzSgZPp5aH42Tjgw/b+9wDkCKvn7SfQT2Cfmf04Guk5mz8C+ecC+KzBV3nwOQd+5p5nP/Fj\n7nvW3oJjUQvBrSrmmqtEQQsngnupu53pa25bVawMFeP1liiz9Gm/A7gdlg2au4x9PptpgIGbOrZW\nWltDZlocWvPb/j0NycalgGVM3zfsfYcKkvk1vz+eH5XQ2+LXObqQeqwvKhGGt7ZlPXnR20vWru74\nyfQiYJfPc0h8taOsQ22ZoKPTk8/wKtYBpVHQY8Mh43kMQJ8aiWeigU+hx2cNvmqoDjlwj0wO+W9g\nSINx2VJ7q7HLVtfvPTqUdLX899CZxMcn5zjnvXe0d5YjtvcHaOi/OngiNXZvGtobwJjrBmDv8d6g\nm+Z4atpTcwMY89wKaTfQaYa/nMDIMwdr8I6i9hWwtFbksRXWc6t5jntqgai5AeC2peZuohEtHJ1y\nRB9u63CDHKDBX+Vk+2zZKYQNHUdjaciXAC7AfTZ98nTXyjBbm191n3PQ8pgfCtq6zxWjn7H552Ty\nMwZ/pL/n8HxZhnrC3rVqzRF9GZrPuhvNtF+E6ZIG2ljCOjJ2ZXX77j5cAwWKc343sLYG9R4sAo9M\npTwFnaafDP257bpkiB73KwDm5l5h8Q4MFWr26iE+nzowd+ywcMqhpQ+3ABwrPW506dFW68lrSL7s\n6nkyvYaxDxw2TocHfrgOCbzY/gDo/J4R0B8G9NSi9ftHsMawR0WXfz0A/kh/n+W/z3LfK2PNUHNM\niylwHZpz7CHX3W1r0F2ZSA9TDa2nthWJvtOD5p1ZYTDPHLiToQZppYiFEU4x1wDwfd8g14lX4Bli\nvKNL5rjZaaR7iiFy3JOZxjJT09y+XFNvW5bAf4eFDBFxcp6/RBzgFmkIagqM+e05BWZda0sK7GR6\neSjOqYJrBXs+lINzPu0wg76G5AzHz0LxFTsHyJ9g8lWDsNLjXw+AX7L35JDX5auqNcXYAFAHMHTf\nkOAeqtWK7h7MNJ7oBuiuvg6I7p/l2jXA3nRZfu+suRmWDlEMtymGGrwazU5BDOieqmrOfMVMNxNR\nNHLcYF05gXZipqExt82rby/6O+S6Md4jODz546198esswDP15Cu9fTY9BWwR2QD8GQA/p6o/cFx/\n3Odhznrap0+LVEtIjtznAMiJ1WfwnrH5QyZfsfhFmH4G8E8Rnj8y14bQvLD6qtdYdPUs8xgagAS3\nOGP3+iLBwtINLebt3Loba2607eOD2IGDoUZ2noFcr4H2HL+cD5roXkZANU3L0lPLQwtqd88SXcfI\npyunnGaailpF2VSw0nWc17iEmozt7C+iMT+nwNBgtQUENK+vTC75i0PxHwTwUwD+0tXKd1ciu0wd\nOAA6mZvbMOY8Gmt2rUeW5seN+5b9ZG4YgDDmuGxg/hXrP2gMbHkea06ZDY0VPm6qbeKVuXbWv3v1\nFlB29axjq/Eq1XmB6U8OXczfWs20Xd10c8e3wWqtpQuwpWFWC1lmQw1AbFMNNXt/WCli2WrHkXdR\nlJUjscDMNaj9Rn/97/hU1KbXXXNqX2A00+xS4Q7FO5Qy1INI8wbWwwPmt6F2PEz5bo68gi6HklN4\nYQuLVdJgs52VL0VcTM+8RvevBvCbAPweAP/kapvWHgNbVQ8sfuV2AyMQBre7bF9ZbCNsZ7Yu4Kwg\nfgTgmclXoXrV4lfaHfVc8XHTdNnGwpXyfTTHyN48x1rUojgOqkiVR93N0Bwio+4u3UBTieeDrJL9\nujvcRHLWTnI9Mnad7Hs79P5+LGKR0vjsO1t2Y2gUza3e5VMlSk/nvPZcegrkCCyzmabOuNTbwLHs\ntOpvglsYJVVwq99LazVL8QkiBM/f6Xp7GuX0bHqGsX8EwD8N4JefbdBWInuadLaigUMeTsr8Sk/P\ny4N9CzDJZrG9TI3C8JCvARw3fwrrV6H6CuCPwvRXAHxWNGfau7J3rVoj6LMxS8CHQy6pu8n41N0a\nF9LjKMkOGJ7BMWNtCMUV88ANs6E2a277kRIAJtBn9xweziYC/Zd5eGujsFBzG6DF7+nKKa9mWh2d\npUkZsMEZ1UDs0YmMBpsKwatZwAJvwKZ68sFci44hLCP131g09+JKxXQJbBH5OwH8n6r6EyLy/afb\nXYQEudHxMZ4XVfBX0BPwp+ZZAfpBd+uk1WXcbj5OFoDkepuXdfj9BMCrk/5qDV7Z+6H2XoH7iXJU\nORhvgjkdNjN2/k1wQ2DDKRWtfTDUropYyF7BYre8BkwQR/7c72SwuFWniaMnilYWTnmUnbqZRr2t\n3mGkC0Jvq+vyrqOBlgabnYOW9BZrB/I9YabZZpc8GbsBukNml/xCbz9i7F8P4O8Skd8E4JcA+OUi\n8u+p6m+tG/3oH/sj8fnXfft34Lu//TvWR5uLbDECuJa+DmxOYJf1LcCeoN+Q6R6btwcxQlPfN4YA\nQmrzZMBsBOZQPdZdhPLVqb8y5XicIaQ+XJ3npsrej7T3o5FZVrqb8xH6Ft0Nmmro2HUavAFTIQtN\noJavGgJwqbmHIhYg+25vLFxpMcpnDjLo5yeptyuLiDRsUY7pDbYbQHxV0PACQGQIveclwh2KG9hn\nu454CrybotiuYpkCGY9X9TY9guNrg7KjyM/81E/gZ37qx48G1DTJs+MoichXAfxTsysuIvqz/9bv\nHzdeAJjT/H3DbNlvBfgZ7KuGQPUI5JzPRqCui5t3sp7rPuS4Oa/DfN1/Xg58PIPXx6nK1TYta5Dy\nmZGsLeAzyWWb5Gfx5ZvkMRrMZ2m+YdtKb7Gt2TZbQ7vZk9y2ZuDm+q3ZQIhbg9y2eL2QNH/VEJfd\nOGyxVaDJzSvRWoPcvmJ/2wZsN2DbANkspG32F+1mIbDPd2nRo2v352ZXdQY2Ft7V3sS5q+LuLyl8\nv+fn3ef3rni/W+pr74qv3fNzzKuid4X6v967GXRl3vzAul2H9h2q/rd3T+XZEM+//bd8L3TxErIP\nzWMvn7uDxi7zOoFcCqPZPBLQrYzvVLaTkkfO48rYCmsuj2MQ7DiG3HM4Pptv83pqzcrSK60+O+Rz\niD7rb2AM0T82PF+x92ysXYXmtq/47/JQHLKsVKuDJ4pmjvuQ6/ZCFggGzW3nlM3cSnMDaahFKiw0\nd+2CWVJiImOPMHYaUYawtnzuDdb9t6fe9oo1i8qtD7dq6Gz482SaOwdjqOYZC1e2CLEtTFumwLw4\nJvPa1OKLjiLKdzytp6eBrap/EsCfXK2TC1d8eHfUeLyc2SQagAHQE+CPYE8Qh1ajIYEEOdMywARy\nFKBiNN8aJiBjNNQGEBeAnznps1F3ZbCFZj65ps9MDJvjmE+CuzYytda81plvkuBmDzFe3QHc6FlO\n6m/0POS2OfKg6+7TIpYmbsYBMRJLdcZ76c8nPZ1yAMzVH53yPphpLDtleM5rtTEkLwM0cJ5DStHH\nYYeR3Yz4AHu8f1vkPAWmbJiAoaOIZNUZJtf8bHpN5dlX1uUoyzC/n28zsLuO67kuNo/54/Lcpxy/\nLGM+1owMobzK0Dk+ux4HouggzA+k/qq58SuNPjcMnFZ58FcAfMXey5y3N2RXI6KOBS6jY84fKMhr\nG7nu3v3NoO6e+9PLziMAIF0i6uuYNLdqGmot39cdY6j593FEkTp+GmDROEc7tZDBbqzVX+8+MCKZ\n20eL4QMB0+6KfG0vYGC8NeAOex93rSXnxI4ifOB1KzbqSQpMFOObPNlRBC1aOSO4Hpr7bHpNJ5CT\ndFdcivpkcnDGgaE1jzPpaYH4yJTJ/Orxj3JAZyS7qyCXFeMs2HuzC0hmyBe1AzTI1B/kytR01xXH\ndWcsvpVjAQQI/PN1iP7q8PxD2JvbLTuNLBxyNms0L5nr3vxd2T7ev1Wesb4cLYY6rmG5eBrI0mkW\neuqU++5ided1DDX08qZPkSHXndVpPd/wCSCS0kAyt45OOctO6ZQrUjlmrtuuFwHOjiI1JL+XslP6\nOnMKTBiS+4+aQ/KlS34yvYaxb+svWBF2ADp+pAd53HazbVaAD/Z18Eevnwnoz4Dc0O3f46BnEQ35\nZ9DjyFCdmi2AXNk4QOKnKufAh+9zliJ7NXs/C+5VMcsVuCMfrlMhy672emg4uJtkWK4K7ASh/aoO\noHYciXOfR2LpWXcejV59nRBB7Vo8c9zej5vPhKbeZhqMm8a95jUC9bV4V00U7Q2vLSeYM93VvbG8\ntcxrk7ytYwoiCgRB7nBozTQ6AW6Nge/MRutkehFjr4FdeXwAKZDNXtHNAIKdZ8CrJNivgH4FcoKV\nIJ91+YHFMepxGmo+AIYBXE50eAH4Iw1+xt6vNtc+lLnnfPezue4ddrBqqCmSsTncUi1iiXOsHUdi\n2RQRtrHu3Bg7c932vlv7F8sAsKhlMNNKZRpfRFBHX1EV7FBUGyk1twG6K991YPXk2uF158nSNa8d\nI68wjw14H3YEU0djKRxGya9FMdI+eX/s9u7BYSbqPmjvSS8Pn4u21nm71TIHfOh1HefVY6maFov5\nXiMIHfQ4Wbxq8WDxSYefNQg11B+YvTI+cAC/LctL+THsnc1p3pZH+e7aI2wYrAE5X3PdHAYZkIPm\njs4j6GaKvfOKLbX0GMSdc39bZ+Sxu0I2H+pIcp34SCdsSBSwHDfZuoxdLi4NmDNW3Yvehulc2dLx\nRr4DrA6cTEMsNHazl//dSmVO5wEdfGPvL1uuipDPHIghjDTvu91a+e4OH1fdR1w5x/WLgH0768uF\nJajjwQzXGxnG1W26FsMAqbscHCt2V38AB1bvCI3OzvF0SjngnLXYJVe9Y9DjVYuHfsYIZJpQEb5r\nYeQLBg+GLsuBBPgcnn8O9p7rzK+6gBLQ3Ce7ZmuG5a6560sKTGNbuB7eijhjb82eCc/niksny+uO\nDK5djtVprYyd5syNySm3HyHZKPSeAzSAobJ6dMbQ3K56k7GefB6jvAuGFNhWpKfVmdvbScSva/Pn\ncy5cibHSRIvmLi75yfQixj4Ce85f+68aQB3af2Jq4f4F8Oo3+RHQyYqXIGfIDiSoC8CBzK9Sj58B\nnKCtAFely3xk5Flnn4XncYxFeD6DG3g7ez8CN+K8R3Dzfd1nue4luB3EFdy1xhywUBzAmBbrY5lp\nl0z0iAjUx1cTaT6MENJMEwO97bgXve3ba4977jcc7ObpGSe/VtlZhNd6yG+XklOF6eMxBWbPTjXQ\n4jNPQYrX4vo7MjEBaltnl/UTm2dk7Arm+TvnqjEpbUGGzQlq4dOFCexPAH1m8xnkutM0yzRJBTgA\nU734zNYAACAASURBVHndzjP0+ArgWIBWMryiBidTr9h7FYKv2PvMWAPezt6PwD265Nn4KMq2dmmX\nhlpdtypi6V2JMzuu7yAqob9VRlccboxB1HuaOdjLCwlQOowEk/e96G3BwUyDDK8PMtmVI6+ws0it\nJ1dEYBkMvnVv4D0oSDNt7Ciy++AN3E/dvKEPBCkRyAlrn02vMc+8E8hZA1LDb1+QHx3Ec6ePK7Bf\nAV1lBrksQT68ybCyuBtvDUBUwqkA6KCDfgZw5raHkFun8BxjQ3CVNjuwc4D9tcbaM8w9j6s2m2yy\nCNFpqEHPi1i2K8b2opZoxHnfPGzm1AFs2mKZGWjFTAMQPcJooLV0xONHkRp5v6VFvl79njfYZ3UE\nrlzyJhyh1Nlc9GCm5RjlLKBCysrC2lFwJUAdJy3eA3YyvSbd9S3v4vNp7flZHXjd/mCO+XwpOsEE\n+uEz5wvTp1Gmcfy+1+PByh2BCNfVbU5+DmzzlPyYfWeVm5gW6j0AzpZ3Bx/UZHAC/CxnPoDeb2St\nuluVrvLc3hqac3vhcSQbj7Px0+rADfMrfI0t9bSIBX7e1gAosndYuuR86wiAYaAGAGGmiU6GGs00\n/pY7osNI7RWm9/f29IvmUN3N71HP5U1aGKFAjr7CYYw3aKbj/Bj3ziGVjh1FeFVV5WCwKQCwYKoj\nB0HksV2W1U4iZ9PLzbMVsEMv+zT2u+YTmtsEEH15MHoBOreTAubK4rXAIbR9p0NLwNv2zV8MFeH6\ngsmZgKlavKEnazcfsXPS4Jvr5JnBK5gxM/UUnlfGrvpdy2V9lbFGcqhhOMr8YJ4BpWEaNXc11FB8\niFpbbvcyH/iOVkpHG3iBrBS1+B5+YuLlqFrGMLeQu5uZJqW2XPYoOw3H3CjVQ3IC2j97Cmz1dhGl\n7Irrbqks9RvBFFjkuJ2xydLU13tPI80aZfWeb4jOKRaO21/jEH/OGZKfTK8JxW9+GI3h2obpYKQt\ngH0IvSvgUcBegC5l3wC+M0sFfLAwQe4hO5TGlKTx5mHXDHB2AKhanEPwPtLgDNEFGl0ha5FLDP5R\ndPrsnF/Vpc/a+2PBXW/To0IWLleMmns21CLkkewSukGzWKh7VmIqYAGQHSdUhkZb537dTWKZtoZD\nTTkHReR8b6WzSK0nt5y2GWsekvt+ghI6+14MxS3stmvSJF/2t3lkwjHVWLjCeRat7N3OS01C+7XV\nUAiR/upjbns1vahA5QbV2qZN69v0eEUYnA1BBbb90aUzfgV0hub8LBvsRk/6XDtZ1fbvvTs7pbuu\nAf41g/MGzqmyGeC998k4Szav7M1t7JU7Yw+y2TmPEBnPueYfCm5uP4flp4YaRs3NddZwjZq79gpT\n3tNIfSGq01jAgo6DU34w02BAtv38PLeqtym13BXvnsjuvbyPu5cLZ2xdB2cQd/ZRNPbgknNgBt6L\n4pRrSwmzeTWZMbbEvDhz930sVOFAh2fpr7PpJcDG7d268ZjD8rED9fA5W0ufL+C3Pxr7VC1dmb2C\nPSKBVl6FQuDvfQD55oPkHY9RQM5jFh2uLTW4NRB6APjW2lDosusx/z1ob6e+DHGRrD8tmw23ITR/\nke4OeVyOeaa55zeAzoaaeitDPW4xrl0zjqGm8VpRfymBN+TjiwDzHCOQd40divW+o90A3O+mz3GD\n3u9ptCJDcgWis4ggS1yj5e6wghBPs/E67kiXnEMYazmvPDm/dsF7tjCLVrJgZR4EMWTnIv11Ndbg\na0PxeToAO+erq+lISJePYTUS7BKV9v2gpcnsonoAaLBtCcelSbL2fJzej6G66745TOfA+M8yeN89\n/MQYns8AJxormFfa+6xc9dXsHQ1DZe/4PIK3LtM4z/UgiYISrvsAiVGwohJ15TQ4A9yimPtxb17Q\nEuF5KTu1+71b2L3vmfrqLUPzyG/znjpra7M7pB1NNvcHMgVGBt89BdYiHNdLl/zWBHvLZ+fmmpt6\nW8GQXDxS9GfCZQTft302vYaxtw8HtrQZ2BPofV4KixsAR6Bbj53CyItQO0DOz3sfdHqE62IO5wrg\nDe2gw2mWMUTvDOGGYhdrrhWW4pn1N2ZdrXbz5zz3DGQ4iGparHYo+dTgrp/PwD0UrdQw3MEdQyN4\nmGvXxRtDGKila75txJ94u5/2oyINNo9ZvvXMee8u+bxoJfpFdh9hZchvMwyHfwefPzsnpsDEf6dH\nzXGt2bibFvZ2qdu1qEYaAV9z22wUtoYIyamlxb9EFNa1E3kfVtPLNPbpNIXc+XERlhPMrQ/Lgt0d\nyLGtAz3YHLDChGCuDLvtxjqwpYCr2x06AziXM/eNbmkueGva92RtAv3SYIu4DIBraXFdvXLOV+C2\nPUfmts+fD9zVODtobs3vq2F67cZKcKsf2y6Nm0IOkahKYz1BMdPGARuQ1WiOOqXeZtWa57atUq2w\n9pDn9ryXOly9M4lFTqnZ7bW5Y0cR9SUsXKEppmqpry7WkG9CV3zsKDLnteuIKyp5jcXDcKk3ZDG9\nBtjvvuW4cGLrGcgyb1cB639zxIsMw2MbB/ygxVXTyHPg4tYP4bZufWDy0NyNrOBg5n6bhXVh1m3c\nLwtfdFfo5n97Mgv2GjUAuvNU7diWC/dKLQfDTp92lfeGsWF10hGseQzXPxW4gWLi6bnmnvPezHEr\n/IGvz4MIpAyO2MGBChEDJMZLAAGclp16481zbDeg37NXVmQrIq9dfhsR1Ogv+DPoaSyTWdlRhI1o\n2sbig0Nw9JSGe+9oTXDrwJ159k5XnFfUmDvnvWFk+gtw/4Hm2fX9+2yhuABH8JbPugD2WRjO+WB2\nVQCbMTtfORrgdwbXEzauDF4c9U4W7wo4K9u4XRohII0cG4XFHsiqu9En3V0YvO+I8NxKmUdnfNbe\n+wl7D3XlF7p7rkPnPXkruCtTX2nuqy6fNJ7CXIvz0YxuUF74p15TUPX25JSru9O1Ci1SYB6SR/14\nrScvujur0py1m4fh6jnyrbkrbleRLnkwOCRDcHFp5UxL+0Alwa/O7vP81mBmq4O5MftTWftkehGw\nT3p3Tawt5V0gNbwGJi3tfw9AXgE9gO0hfG9j6O40VUN26nJrCEq9uDM3vKR0MNv27i930wC4gdaO\nuYkbP+IPoh4NtmKSZv63T4UuarnuGbyP5u33jrobOKbEgEkj4zXgxjQ/h+EzuBmW76LYtA65NL1t\nhAU60TBmTQHUo5pePJQYO833LQDvfg+l9PYa+m8DQN98vDSLiUTtLaN2AflcFSPNrwWNNPbdDg1N\nEEqmwgLsQ157znNno1AHQBRJoH/yUHzo0TEsB+pjo0A+Xdv4RBD0j/R0nZcC7MijSx+YXP2JHrZ1\nFqc7PgPcUlcymG0Q8RHqNAHuDwVNNhsr21vwWJYG22yw0D3vdEVcQ9I5r8ZamnbGdBX8zHnPunvV\nS2xVZ/4WcJdbd8hzh4bm7y1grvvNabAuNvxvNdOww8PqLDbl9URZGgM0kLHrcEpi9QSHenLtB72t\nalVrjioAmuBmJOUsHoUrSCONVWN19KUmaYxps04iHDhkcxauee1aoWYNgmB3MNuLBoAOf1ZPppcA\nW5sdRs4ej3oCjB+mZQF6An4G+wPGjnXSx+UV5DzOxOLS91GH7/aAhPEmFoIxZA+Aw0K/YHqetz/o\nNYGcL4UvoO6Fxb1Ig2kxFGON16YaawqNsJ1gCrW2YHOaakA2MHX6UHCTtXk7luB+ULAy+AMLMy3f\nAGM/hGOE9b3Ug0s2pCIojC1DySkAaCugLqE4XXIL0X0McqbH5pBc/EqVwhWaZuL3mRLDqtTEq8oy\n/SXIFFiOtkLwe9TCUNx7gPWa7iLgP3Uemxp7+WAMrYoelzOMhk7bu96Fep7IP8f2sItt8ewA9sFs\nKwOsSyzb0njzeZRttO0GJG8UCPZgb/Y62rotN/GD3nqy/+bOLN10BdAwmGu9NCBkGgvn3YTj+fgv\nrro75ktoXqvaPqTvNy97aYeemrhdDctX4OZ3sGBlfrMnPx/MNNgILLIr0LKjSGXvHMb4WE8eZppP\nTIHFcrmDHULk9s7C8f3uZ1U6itBII3dAwkhrYnp7DIdSd/PN3uFyRwWRRXzqNG8huM30YjTn+OQS\nI5tGg3eR73oNsBtrxRePxBSOp9Abl+kMbNVIW9lTo/kX3opvEsw+sHpldOnrZZXJ9z22iRRI30dN\nDXjI7QzNc6shOkYGt1TKDtai08Gd02OssFqxN8tSNwCr0PzKVFuN0DKnw+I2yfr2PTORvWdwA2mm\nZforw/S6nsw9m2n2WUnhUXYatQIwcKMBdbRTNaE61pMzBeZpym3rGYIzJG8tO5DIXD/OtBdTpQzJ\nJWvHq+5GXguWmLaOCMlbPsLL9Be1NNNfVk5KzweJj8X0mlCcHbHjfk1fODxBdbMJ5AW4B7AT6HUf\n3/4S5HNovlrG0JxmihqAxYb9sJvSS+EKzbYaokc9sg4OegOiFt1ucovqNdu+FDXUvx6Ss9cYwT2H\n5tuJ7p7BDWBc9jk0d3x+7JSzmKXqbTJ876Yr47KVRtDO29mQJpPKQWMzt02XPP+2EdwtQ3EV8eGU\nWLTukGV47svYA6w64wy5GaaHoeb3mDq8C2IAxEYAK4qRli65uDtKh/zTV561lXl2Dm5dARpIh3UC\nOEF8CvQrkBc2XrG4RseAAmoHLxy0ocP3ftTU3mlBmpiZVtnbt6F73pqiv+/BtmTvXhUvq9U4uqcz\nFcHd4qFPoM66ewluB3I6568FN1k7bpkcPwOjmRZ9tUE2dzAXvU3Qj6OvlFFXPAV25pJXZ1y3Fiyr\nu7P64IwnoGNZNdLYvXPoAabx65n+2l1bi9uZAnHW9d/UEbq7SU1vGZgldLa6i186ifjNsWjlE4fi\n/WLspfh6meYBoAI1nOBxGT9LXRamSh+PQUZGaQi8msg0kuvqvgfIRW8+fzOQU4v33RsFRejwth80\nuD0oDjq/e333XKf3E64FLjFGV8SvGLS3DtVq1NoGCBsM0M8PLK5Y6G7/xGo2i5LEv3PS4QXc8OO8\nCtxzn+31yKdFY2MsO/UCPzQgunnaa641XkJAlS1uoKHDXgbY0qyM8yu9v/oNY0eRm/9eB3Xcnt4Q\n1WmbXeMw0jofrz06iQhoaLJFsytYu3BSQvBVvRyTnOkvBvEcjIFFK6qIVwSJGmufTQ+BLSK/BPbO\nrm8B8BUA/5Gq/nN1m31x9+e2pM5nCy78jpwzBB+ArQMzc7NKC2RkWbC5DEzOJzdYm2mrYOw9z8tD\ndM4PGhwIBm9NQn+30OF+fgyZauhEjT1p78E5d60NVmJVFvfRWqrutjaizkto18ruwdITuEOL4zXg\nBhZmmq8lc9eND51HnLnrwA3ZaPMRsSipC4Z68nzDyDEFpoysvKNIDKUkLFxpiBryvoHlpmZkzrlt\nf848tw2x2+bRf+htYSMnGLp2WmYDkf5q7vyzjnynFJSxzzYzBGfTQ2Cr6v8nIn+rqv6CiNwA/CkR\n+R5V/VNxQy5clwHQi9BByt8K+BHsBejB1gWgggHEwdZkccgQrsd+DNVFBt09zEdY3o4aXHqEcmGw\nibimNt3dgQjVyRgAhsq1qr1nkPPBhUiC2quggLHWfIM1snWEFgPQCPYhBF+Ae3WP3gLuR2ZanSeL\nQxL041hrdm83IN8wUjqL2K12xhYP5acUmHWQdqnVvK88R2zh/WzFaxELv0ODE50Yc9teSgYWcIdR\naVtiTn81gZtnY9FKhtu1SGXssx0NBsc/O5meCsVV9Rf841dgDczP1/X+htTlJMMKjT9cnsDODaUu\nJ40Li/z9AAXolc0PIF6xuG9jLA4Xd80Y3HV16HACXAqj00HFfXDQtRf29ofJWuk01waWB6KwpZeL\nYd0Xs0dTJGmovwn/UooKWYN7NtEEz2vuCvSXgDs+X5eZXgGdenseeQUrl1waai8wAtjcdX+32J6N\ncHTv5A9nrrsYbENuW00ECTjaikRFmqX1/HpD4txrd84K8q0jCopYpGKsbdEmS02j0AX4eFdcbADj\n/w7A3wDg31TVn6rr9yvGLqsCvOUpSWDr0AiIJIYlQkoyuwE9WT6BzlpvLpPaAFgzbixcG4fWEXls\nwJxQ6nB/IwW6jZkFVRuVVZUCC8yDy363jiTdctuR5969ZLQ1cECAQXuL2Dl0tfRUy5i47z1rjXeF\nCqus2iHfDWS4avngI7hZDHSmuQFgzn+/FdycPgTcEYaXMlP+Lo5T3iBZcspae3au8OfDrtXUC6wL\n+r1ED7IPKSlz0K16kbntGKccN8TreRlNMi/dd39Dh2nvJi0YG+X4MZVhi9VZXgVopYOIOnPvXQYW\nj7y2d0A6m55l7A7g14jIrwDwx0Tk+1X1v+T6f/lf+t2x7W/43u/D93zfV2N+/OoPYGw+TA5csriA\nzZVdLDI6c45z2J7hNZKtmxxD9WDxbukNZ+JgaWBwytE75Aa/0a28ieIYdgMI99xq0DM1FqsxsncN\nzQ24fn1cd6+q1ZpmNVoK5Ac15sHYE4j9M8PKt4CbrA0kuOfPwJGRVyw+DpaIoeTUoi4NX6KjZ80+\nEOC2ViVDcdXMRYcnUkPv3avPRLx/gbO2etGveEhOwgDA5HPt2lm1tjepMWzxJvYsGpFln22G4OwB\nRhb/qR//b/CTP/bfWiR3cSPkqt50uYPI7wDw51X1X/V5/T/+7J8v65d7HT7NwK77B4B9gwD1xOgc\nr5vHkWF/ALzgxeCwdoLpqgWDh6veswih74gKNs7TZOO63oH9PizXruh333bv6L0wuC8zNj8u68Ul\n192LZNQYXBXod2f4PaOUvtvwTB32U3a1z2YWp7uuZX4vn4FxPeIz4jOnD3lq5nveynyDhLF0Nr+J\ndYbg/X0nnj4SD2c3Qbv52zs2gWwN2635Z0Hbmo3++a6h3TZIa2hbQ/vKDdIaZPPlW8P27mYjArUG\n2W6Qd18B2mZjDmy+/N23mCXdNkA26HYDZAPaZjUdraHLZtfO74P13lV3ue3v+11x74p77z7fcVdb\n1jtw7x2/eO+474q9d7zf1bbZFXu3z7/11/21UL7xoEzPuOJ/OYC7qv7fIvJLAfwdAH64bjO44goc\nI4TcQKa/nKvLpewjwz6SyxjG6NgYjI2AuFNJ0Gbh/BmDi0osV3RgkxxSxypGsmMJkHpcfATxYrSI\njAzNtytWY02aoL/3Hzgw+LnuZinq4Djz7TVeHVFz3VfMbduMFWo7XBf6PZid8g+d4hRqSF7XFxae\ni1dSgp275NplGFIput+6kcbClcEZLyzNwTSiE1DJbYefUjuHRB252pWJvwxJJIpPeAsHh5xMbo9e\nYW0zxCprtzDPJFxx5rXbmkUBPBeK/1UA/oDr7AbgD6rqf1Y32KeYIMajK1OdpWuZDYAW8OYeeSG4\nmQ4g5vY0ugHTKHUd/2PB/gBwIZAlbk6ANp5kD7U2DOG5pcRuA9gF8BQKXy/jJQueCut7R7thNNa8\nrnwVvrO3GJcyLK8jhzD8bJsz657gVowlqDO4UULtCu4Mw6eSVOS6DwnJ6zTr7TkFNpc68T1hWrbl\n56hWU43y27mjCMNwcfOJRlrU+NPjEB+tdk5/qSJfy9vCUFO+4I9hOp8bAaLsFOs+23ymaYSxwwuj\nEPXr3PxfF26rQ0+xk7dXA3gu3fWTAH7t1Ta/WOpxV98lBeVVMwPZ6oRZ5tu3qDwbGbiCmJ8N3PbB\nSvkyNUD3MVpKYXc71+DwG6fmbjJM1xgmh/luv7nbZjd7Z7jthlovTN5a3PzMfVttcr/vo3FGBvEn\nPtx1Z331G76jD0MxAbCOD7u5/fYOLI8CiLjORwlLzU0n/aqP96HeHG8D90pvD+BmEQaOrD282E9s\n4MD6wr86pBI7hxDg0RfeUzdDo+hDFNcIQlsWsUjtFCIsWrmlc85/6pa2XyC+6lbaVp49j0Dg7Iya\nswZuPvYZGrt1IqrReM2Ahq2ltr5KM7+k8qwydnT6L1N98wcfyjZtXzX3IYwRtnzZ2tk6KfOjwVaZ\nvJb28buzy51/4RymV8ZWOWXwCNl4Hiwc8Tc26t1/s7j50kotuU8M1wezjZOfU1OMxSybDExtNeky\nvs0SiLD8zFCrrH4AN6/FwOIYzvOt4J4ndt2cwR4FHCVc19IoWEOAoaOIOouHkcanbUPmtiXDb+ho\nqJnp6o13szToEJLTsyldOy3LYN+fno4OwJ49hqgFh9/bICY4e2c1GsNvkh5Z/Gx6CbDvUyh+FYYz\n/A7gBpgSdF3WQCfIGcYTsMewfQzJmWLBanthikOGMD3f9ukPC4B00Pv4Iwni+pnVa3TOeW43gFVr\n1NsECnPeA8D92jJUK1lsW1/APYB9obkJbkXNrR6Zegb38sUEknr7LeA+S4FdvSpoNaQS897RKHtI\nPg+nxNShdfGUAG/NbXPM+dpRBBGKt/xc6smV6+iQT0Urc59tu6Z2xRhN5LOY2nyuRss8dm73yXt3\nzcCezbM6OzM011fAi+oS6PN2bcnkNXFGnSX5PWAuNJmd/7USWqnHtKbBO2nV2Lsucx0Wg887ooKl\nefiivbms+YNRIxr7zhrhcKRO5mQdxLz7QIKZy040NxvHWsRy2XFkni/g5j18i5kWd0fzOajafiaG\nCnSOwqL+H0GvXomnhbXDSHMwmL9Vxkyb01+9Q7UNFWnblqWmulefRjMkbw3Z88uOaY3XOWsLULp6\njoMxzNVo1jiQtcdRVs6mlwD7/cVb/2rf22DNAdQOYCkGmrjzx2PwhyHD8rpNXU9DoYf88u1SjhlL\nqn0nSivY/ViQDY0D0KtVIWQPMZae9tDeVplmg+BFcQt1lojpcJaZikC6aXD0PV7KXgtaAGNuDrrY\neG7df4CPBMLhl+JhfdcuNTeLWFih1uMOMCJ5HtxzddpbWJvT4O5P+nqptz2KYkcRb8vsN3UObijZ\nKMJCcmps+6n5bm1eb7sPfZzfO+o7wGxMvbFoxRjdoCvqIXnJa9PdpuNBf2N8VZB4TTus8hWlGs0Z\nSTVfMsCilbPp5Rp7ngY9NrF1K4/DEH5HqE0QphseYbm3hDOj86GJBqDo62g1Xc9xJA+U7Rhsk3Wl\nMjg6RLYIs9QtTYbnCozuOc+H7E1Wj++0B6gBYx05w8qWWrx5TjrGEdnG1543mPlypblZxFJNs2fC\ncr4KWAq4we/Ax4H72RRYHS8t12foTtjQJbcwm/LG/6P2VnhPMAUHo+RYd8Heq/SX6rFopWpupry6\n3W/T3d3BvQ0OOYmm/ma+1E+G8BzRXzvTX36vP3Uo/n7Vvcun+uURXvs9igfZnwj7oTYTYFXEPoJj\nWD6DPMPcMVyvety2m8J3hj7VxBEDepOtGGxUndE6ZXjOH1Rz35iATJnRMzdOnRVljT7MD0dL7QCg\n5bOH60Vp2/FVHmpuvppGC5gxheUzOitDA9kQvMpMeyYFNphnGI00huRcTqCp73eW2+679ZGXqq29\nKIh9CUaDrdSR1zTY0GfbIqahNyKJicSFEoaXq1ZD7+wo4l8Fj2p9G0aZZ9OLgL0OxZsIB950MLPl\nJ8Dn+RHstUWrQL8Ceeupyx2LobGox4GRwcnTvOBWylnZuxpsAisr9Vw32drZGB6GKbq/xZEPEltx\npLHmZ5Ov2y3g7mNHEqY2rJTU+nvbfGF6DgS50Nwi8FLUHI0FOoKZAL50ymWtsT9Wb8/TckilyTCD\nYHDTWXrqignSdMhtax2Jlsy+J2ubpm4Da2u80ncG9R6sXV3wYG04oKHIcQPE7zFZ2wGNEqEihxyu\no6yImIPOHDa19tn0EmD/4vv9tPWolnzdpOavOU8mT9fPfrj96DQQWvlsrqEzskyjTsBLEYfl/K4M\nh+bCAfGHgykGpcYTC6mE+tvGxoXY+1LdbZ20t//IIRx3jR0viqu6u+1och9y2b1TctgdbmKdGbIr\nYY+66Kq5JXr1Z48zuuoMPf3XmkZV8eKpMf/9OfT2mUt+1VEEns/uDhJF5raljEueIXl2CqnXah4X\nDX6tKZGot9kfACI5+CHTmJWJvPEnK4lHeuyvHVKpEhfrwWEN0CYCbQhw59hoEtt/8uGHTWOvv6QC\nvgLXBlavoNcC9iyS5/ZNNADPh4jXsbL5Vlo4gYUzoho9pCJiOrA4Q3ZAhtYVbjaJl1qm1uFNNJ2V\n4YZ1EvEYgM75WWgO2IimZRm28Vo2AL2VUByuuZ25aQ6JpxxYnQY1dnfL1RsYECXR+LUT5mYF4SMz\nLc4RrwE3ps/zRPAHSDwkr7lt9esgnFfq60x/xSuf3IbOcF3Bt8DUceWN8T3M7zYgpvX+y6IVlprm\nYAwlbG8sjgKiQKWSihp5xPOpWXbKZ5dRaCNZnEyfVGPP4XeG5ccQnPMzuMWPESz7AOQGZGTpXS89\naFzfMqXAi2QnMIboiikcR6bOxDa08NxO1m80IhQHDQ8/boTmHKbJr4U90DoCQWsuwbfTEUChuXd7\nYKqhVotYWGNuLRqPY0exgfZ7pMHO6sj3CaJSTrbq7VdNj1xyGmmV0efctkCi3zZDclUs019D0YqD\nN8DsjC0BZpk0dkuN7dvwRQOxnURTE4aY3ecMv7l8ICopoJdjwconL1CZNTa/kEAmOLluxxH0nM/P\nCXQRZ00HYHR5axIXg6+2ZQTEMCbZ2fWLY1E1t9FyzryQTSTKU6nh7JwU+UpYIMpTHci22G9VEwc3\n44BufXz37CgSuttbYL1j0Nycam77oLnBhiNLV6ilVdQ6jqCb1t5sD1V74JsKmBucnXKy+AH0bORk\n1NWf0iUfto1zGYFej1FZmxVp0bXTWbs65FG00nu8/ytMuIm14R1CbKDL1NjzYAxRjaYCjt4C2Mio\nAWDl8xFnH0Bv8OdQjgUr7BxyNr2mQGUfc9NzCz+H3HXZyMj2eQV0Mz0Q/tUORC66sngYDwXgRwYf\njTZFhvBj0Uuyd4TiijDXdobvQuccxgLo4FHQ1MENP6qmqebfTYZWwCrV/JiKe+wnbbymdT5YA0xY\nbQAAIABJREFU3B/QyFsXxmanfPGL+IxTzjB8ZabtBdyvqidfTVe5bV4cAplam0DoQERpkdIqRSth\nprknsYm19LX6zMYZVze7nLWnSrSh5xdZ26vRwhVXN9FEkp2djAjiLCdNvS16HD6plpWeTZ/UFQcI\nYDLzvDyXZdh9/DyW0SWjb62FGca/TeBM7i2bF6iY4ebFHqUxaGJvm+iS+9B9TIONoZWzfzHXYh5A\nC2PN+2czDVbHT2PKTASiG7DTkCkFLAA4oB7RZ4VvaajB5wdDDe6mC/t323at2aADHPF0LmCpZpr9\nthyzfBc9vKyALA4cw/ePSYE9Ym2Sb5TBI4EeOWz/suqLgEUrXosQ7wBjNV9r1iDsCrQyDhpgRUP0\nLnjdW1YXKgDZsoAlhi72arRk7XxbJ7U2LRj77am5G+w6bpIuOIdPuguNta9TgQqByZCRNd6A3bxq\nnjHUrmH38fOss+FJ+hqyZ0VOMHhDaHGOaKRtzI3evD82dR0ZXIUDttsjl0X6Pg8+fP6CPq3sbQfI\nUBzZLPtE3Q31YXeQmpvXKULyScQeNDcQRSyIeUQIDvFIY5NgspWZRkd6ZmcyzDwo4uq+vyIFNrvk\nNbe9YnFj7FE6DekvMvYi/UWtDfH7U/PYZay0GHZrCr2rxg6G5n0ka1Nzu94Oli7hN+958//U6xhC\nLSFTYSShs+k144qXETrjxpT19syXu+1/OAojTYQKaCeb4fPW6NSem2mqrRhvVkNMLa69GDMe1mwA\n7vSW/Lu6bzTqb4JNwikvkDWwiyQgwlhTD81tPFGOIZ2heQe7YgluadTEcf2b2468ugvNDVgISUdQ\nJENxMB9uFUsi6mYD69T52b7NmC719gz0y84j9FLwcay9mmiWQRLc1Uhb9dsOwIeRRYAm4G3giubR\nFKJW3B6AAuRSjSZeUYYJ7PEGkdCCZO0Ccv9MvAhSLgL2TuwAf5Mcxlzs2bfodMTbPL3mFT/OQlpu\n3QHkknMRwhDwC7DLwOgeQusI/FqEEsu0G8tKjRpGBke3Vo+tX+QJ/XhbM7BvkpqcV939dY8C0khr\nyv/SNRdp5pQPuluLYy62YdHLAkC30SU3xr6dam5Ws8nkpkh9gJpvNznl1UyrZadVb1cAR2YDI9B5\nsrNL/hbWnkNyTJ9riF7D89XnuWjFTDRr9GmmrRzyYO35r9ZeYC00daS++IPrKCviXx4g90ZBtjDK\nRDAUrNgyxwGKU14jxU/N2HtJdyWeV8sAtt11mSX3y2dfvxetzR4yVU+v/t6avWeYLRr1sgjKO4gd\nmM0udGvU2J7v9obA1gNdOKCczW8M6RkW8Xf5w8E0mbmazQtFuvfk8tDBX9YXgxRKH3PdIpB9dM65\nXdXcGYHYFjbkT9HhIogCFsHI3mBvsRzO2F5smro6nDgHcB3HvDI1HXTT2Mc+3W810sIBj8/XRSv8\nHMVfWBStbCROMnf2+NJmBiQ7iHAwBm15PXVzb0Jca/eG4SUDIhhGWanMjtTabbOClchly6S5ndz4\nMj8zeNXmgUP9fJ1eyth2QjZV4OqwQPNGR2vsTOcMzlwz2Z1sHDJdvSVu3C5ZneYQQ3VVCYCHcaSC\nW8shXU8ZHMbagDrr+nyM2KEBYCaoglFLUGkyoTlT+x4sbul2TrxOsgE11x1g0Gapsvt7O6oXsVTm\nruG5sntbo4HHa+mNqJeX7uzEIIWx/ZVFZGvF2IcbDt6a/ajh+itSYHNIfpX+ivW+E/V1HbiBUWMd\nRkkVQ1472HiV1y6MTTYf9baNe8cfql6BaGOO14IVXgiNXxkMHXMl5SWIl/l1P0/RvK5n08uBHcv4\noTA4w/MMw1HCcA2w1zAOsR0fTG99heHsuS6vfb8ZrtahZtivVVsCnwYbryjDczSTTTVcj9fsTqF5\nlgzajbMHPgdWHNNhfm71uoXmrmEpY133hD1FVg2zzLtaiH0w05BOuVXDeuREs4E15c3SRhs0esB5\nOxv57bkqraJVZHTJ3zrN4AbOWXsuWkkgw8HORr6G5GNeO6rR/BoGaDVz2pyPv/tuI5j2vbizI+CX\nBSuuDVhmqpBo4AegSw6+sKpEO5teY55d3T39/9v7uljruqusZ8x13qoUIglGEWkCqCSVmPBjDLGB\niqIpxqB32oSYcOGNfwSjUbwwXhCMVxpjvFBo0wrBxBKIxgRBhK8/aoHaWmw/ESpNWrRIlJhUbr53\nr+HFGM8YY84119r7nLPPe95+nJns7LXmmmvttdeazxzP+JljonTaAu4R8JTehYoDvTTHILljXgb8\nWQmKHt5L8Bsa0JQGtRZrEdt/cKAzhn9FZz0HavI4icHM/N6a9ShUXAGamYO2tsUl9amAe+l83XW1\nNYI6glY8/FTY4SKkFLAlanIfWsJQ6eMu+naEnbrlnOG3BACQ+nal2nxdGyt5od+13NWQxsLfvDRo\nhQ+yThCpfm2A2LJOM0ajQZFS2yV01bXrTDCT5px377p2ncpZPiLOfbRcW0amVwZSpL9aKK0pzV8I\nsJ+X1zb5sd56V/RrSmt/zeEvljxH8l+itQSQqZ4SbamTt5aGN9LuJhJLltIddvKXsTSbvN7r32qB\nCQFGA3zVvWukGvX4RdIwyMnzYZQRf32U3M2NKB7LAPGYc5/5BTmlzi00Ng7fACLNsXj+cvFJIyKb\n6LRGf6zr23oyyTzVt4HIvrKuusmZRqCftZJX33ZlY7gdJe/AvSO1u/DSYEr2Hxnnz1U7bb1zZ4pF\navf6tmTiCz67JogsK6t4QFB1fTVwKmf4tN1OsrH4+odSm1Zx6ty0K9T48ZPr3Ex4uFeuA+xCxWcm\neB2MZZUy2/FCzRGDWGlrgFm9YeikWui6P7/VK9dBYlMft2Tt0klwoAU1X9WkO7CmNC+iQhWua9s+\ndW4M1Jz/G9WK6STcXmJS8SrOjB77/8MpotTQfKpnldya1nPROpXT3olUyU/pJBJqDZoPEqKRntfO\n7f3bDX1oKd/XURpjWtCvYSU/KtUSXusUxUIOu/fqEkvKjU5q12i0us52p2tTz3bprW1YW72EmabR\nbCu1O2qOjHOsUttfU5HayLncDw3s3nimc3CXqtS1C+UuAKaRA5LhkRW81LulgM2uax2UbU6CCCkl\ncJPiO/UWgCCm5ZvXIz1fRPAc1LcTyOltsDqBT6sb9G5zc0RLw3EBd1rWMejcro8vi1lZAQA3Sc9J\ny7nfOOAZRSddh0iAPANbPG3SMkpsuMHNBjxghS9CGXS7SueZIS3fcw/ia1Fybu8FrVCnrn5tTutU\n/+HQk0vAiiGbxwoNF03VR/cDVuLDMFOtLrC6cIWBme/NAO/sEwRuDNmoYO9zke8/qysBu1JxRmr1\npQP7VHpzQ+PhVxpuUgkBavhI1rUFaBJNCY5kA+tJA7iUzhsdWxWLgyAmjIjiBq34m1PH5qoNSwxW\nvd4toXt6NFTZDnAP8eRobYgvtyCWAIK2+KTEVrOUa0pq4coh3XvwyQweU86Uu+KdmgEQqJNFJDvX\naCUnJS8C/uq+7ULg4hVXXVuHBtSpqzTXOFbCT92I1kltVVOPhCC3C1Vdu04O4TmZJslCUHOhATOo\nBYiL4Syl9VZKg9shnU1QBHuSpO6zciVgn44biHQjs5TpjlmXsbd8SZ2BoFrFeU26neIYHOTZlnp4\nM8d2GNeoT59W3ejYp/WEm6XF/uLUnBMMWitA9gesEYiSwS7w2WicedaAcK3RwGbtXed2BEq7Qfi5\nOQIsLnmrfg0gZofZi4Dc3KDJyVaVvFkySYM/xqZLWu1hc7jH6DRVdGtyQwXrCWEltzxj6gMBtsYz\nmfu2Y+IIEtyXSu1kJnOpPereiu02FxqwfTMM0vU1y7LCyTMi6Jbb1bWl1PZ+yKSHdcWQmhcNxae9\nFz/epKV+7UCoCQ9p4Ks50fbKlXTsfWDXGHHbb1ClgUhKnUZQRUrvQaKTMvFUGSR5kfLc5mdVp+5i\n9g0FfGTOe+O11QcHW+I0ZcPSEAqP+gBTfd7wQAIVC5Rh+ovmRjz/SwkyeGAMKLnLQerZbosBjwMd\nLaQEFyDouklPtSg+1c5SrqdeF8eiOBUqqIPEpl+Lz4krel4yd7vq4QTktfTrKrVJu8fjy852RqMZ\nFa9Sm/o3pXZ1fYUPu9Du6vqqUnuk5ig+7b34cWArtaG1TkJo0eW1Vy5ZlO9NAN4N4Lf7r/8TVf2H\ntc1MYoce3YnqBHUH+CKF2Y6UfgR5R9krkHmZAeDV6OUxIfGtkmGrW3q+xreB0vVhTb93BtwZiE9A\n7W1dPC/B3VFxTAxqjYaaHFAMbMXYppl6NCge0O2LZ00hiMewU2XOnSY5XxtAl3nFLbAiUvzc/USR\nSsmPfNu1XFtq8zqjX1uHbVe/w7imfC5Fatcw0zpfWwSYhZnWrCu6up1jTWDXMNPwadOI1lFz+w3r\nts70/BnVrszva/ixXwPwnar6ERH5fAAfEpEfV9VX44EXYLMDbvRs4zO+mQYqgn0D9ApyoLgO/DcJ\nmjMAb3GuTVUUkehUlN4oroPxYVH3NmD2SdoF0undogjDGutOBBAS3BjAzY5tnhAPYqGkBvw3uAIA\nIAuKMQ3FUr6Gvq0Amoc+YtUAtHiUDXVvo499PDkEYSUXVY93t/8q7haqKYt5I1IkOI1qh+4v3K9c\n4tce48Zjjbcdqb1Jn+TTqpR1g7QeM5la/QoMkWjdJzpcApoG06l+HTWcdoyg43vlkkX5PgPgM779\nWRF5FcCXAHi1NCqbg/SOoZW7XH4UHdgrkAn0oO0EPVe15H7jiL0P8ApiFYsLVwYJiQ8CCzbGNf6t\nDEpZO1DbLWsEtND9lRTc2/h73Fg6BoMaVGIk7q3lpo33bjDtpTUd7eZ0jn1axsEgluICM+mSEtxo\npEv1Zg8wovw6Q5rVE9D0DY+SmvWzMqPkt5XaXZ2mPj0GqVSpzfNTHyfwd8JMi2Gxc325hObyu8xk\nejTrq0vGsJTjUr793xHM1q2L9GadC7WrGc9E5MsAfA2AD3YP9gLjWbTFqaOZPKagtF/j7hWnkNgE\nL0AJ3ECLbbjYJP94GNTgIzXPJx/jQxTToWhcU28P2PTPVcUzQubntFpQi0lzKW4zAx0nktyEVT0p\n/k2R5oxSk9DZ/X59/S8A3iEAZ8iIpIk0pvF5oHT6NVlTu7HjlG4cVNszYH0N4SJLDYLTNxFGtW7u\ntseYM1UQVxXRSRSaoPdrT6d2TkB+SSEF35PaNR8apbaxIg0jKOuAlNpdmOmqmZ5YENs1w0oYcOjT\n9r4ZxjNGotWsKw7kutbXmMmURjTX0pKOSwar0M4zKxcD22n4ewB8h6p+tnvII7BHPlukNVCkeqHf\nM+lsB1K6c4J5iGMRbPTxBhAgCorsrQRfUSzsa6237xP1Kkyki9d30+bo1w6RkfO8/SxgrQnoOBW1\nSju34or/h1FyuyvQJGkLfZuSW9YV2nzqUlusUwFBxUP3doOQLC2ouUlmcdB6RxbGBUjMKFp9jurG\nt61p+SYlH6PTzrm/LpXaLFXXttfYg7m2Y5aVMWAl6ii1nYpTaiOOpdTOpA3p3x6NaBv6XQxrYUQb\npXZI7nFiSNLxMcR0r1wEbBF5BuCHAHy/qv7IePzHf+gdsf0Vb/5qfMWbv7qcW4xAI+3WAnZqXLoF\nedD3AubQy0kXpYWluzO0VYqeKVD8PpKe8zzWP8eahjXJW44ZYRiAjcK2B3BXKW1hntKdo+oZWJwj\ninLa6Ti4GV1TaXEsZoO1xSKgkPqarien5AZ2aQ1dPLkWaq7UPzUWHqBvGy1dZhlLnhSRbq/q/iI9\nr0i9j4SuZaTjpNa1n1d6jqEe0n8r8twaZipIlyoHOWbAMVUGEYlWI9Qi4eEU4MWIhlLfGdEIbMaG\n57P+wPveiw+89xUnCfsPUmbBJF0De4PvAvC/VfU7J8f1e971E+euManb0vHDOpFh2wAutR3b+HHS\nc6PZAH3d9Rh1yuaSnm1b83qxz82Sc7vp23622GSSfp9x43bNm9K+iYWy3kQb+/1F0oK+CBc5cKM1\nAKgt9GfS1cF6eh7bXAhQn79mC7WvJ/t+/rzfP604vWbf6/OTfXP/tEKfn7CuK9bX1kgJpCfF+nzF\nenKqebKlcdbnppOvq+KkwEntW2Hbq3+7DQqqWc8uZzOu0oiW1Ph8qT2KRM2+7cgiuc/jSzxz88XX\nZ70I0FpDu2loi7EXWRqWm+bb4scalmeW267d+Pezm9y+WWz72TOb9bXcQG5uIDdvsG2vw7IA7QZo\ni7EsWaCL7UMWf37GHE8O4rXsn1bF81Xx5V/0RmhM2ctyicR+C4BvA/BREfmw132Xqv4oG3D95+kL\nENm+rFZ82SjArxJwrCs6dujCxZgWfuW2dMelNS54kYaHRjqbBgi2qfJAFJai2P3ZRv1S7wYs1dDq\nerftZ6hqA0w3LoErLJlTDfl76dBxvdEHmY2lXKBOh4HknV2IKZDWcqQUlxONZfa8ZE2f9qoavm3T\nXX1etuR0WVJyVQn3F2dOcXnexbn1GLQi6P3a0R1Q3Pe4DNyj1AaKlMY2YIWW8Ig6k/RpR3KGoNVI\nOu4jj+nUpmPXZXYZWsogEwa2LDfF1cUVOkX6iSFcmCt0bkpzc2wJshlAW9KV3F2q+n7sexW80b7j\nwijPcDrXQWKboINZn0mAk6IHFSc9t4jsoOki4iuaShw3z0JK6OrHbs1pXKqZoXvrQM1Pwhecf4NU\nXN0w9lp1ZPvTX4HQSamH56QSD+uMf2J2AYWEZtCFnqLq2823bdAhYqQtScXb6tR56V1gqp5Mwag4\nkzJEaqV1DX2TC/tV91dO/+zdX9SvqfsakPfjyMc52/fRtZllBUhXVi01zDRArhnpSDXDqPI8Es0i\nxjSMZZU+06ed9WkdjzXQZx+Z7ycdLzLOOgBIyw9wfaWQ0nN0fuKx1DpWFKArEBJdCojt2DoBtaen\ncYCH4bH4ZvsZ02Kpd5u4X9uMyC6UOx1dNQcBtw51pCKAzQefvi1vgDConUwkmu7ZspmoWToVJTpN\nBmMaeJLdh8LzbTUNnc8ulEkYXFncuMAI4JgosmYQC1TLIJjPjwEsdtvNAl8aMLq/KJHtUY7L76KX\n4Ic95rKyJ7U5QMwCVgjiMdvKmBeNUls5wKHE1AOdsazLh1aB3oG2xJJT/wZBzOh7jX9GQFd3F/z/\n2rErurt2y4HERvVb1+rh1Vagi08q0ZZjsJ3TAzwMZwXgNGvHehXrKSW9U/eQVpXeV8Nao+T3hQea\nGVHCJ77ylP5cJneo6Zj58MVFgwQWrXfHGt2cB+4daBVvW6ykrYLZrIEx88is5DaqhdRu7pteuL/4\nRF43mrnEFgbRuN87gO+d2gYgDrL+zCWndopKJGSoUjv88jtSu5ZKx+9azgWsUFLvrRxixrRtJBqW\n3ohmoKeBUlOvoBGNP7gXYnoksWu9q2LUEAPsyGe7Vx5eYtcQ0u4c34i5l0Vqq9efeiu6NkqAIXhl\n1MNDkbbtkN6+zznbrbWk5qQ/DRAmIIicarbPupNwbF1D37YUx9rVUQ+nQKw6dp040lW6Hkh9m1lY\npOrbDdmB6N9e/ZlR30a2UcBWGHkOoJ1sogieB/2sudLEwyIbk+kzxJRLBzOAhwkGVCIBogCRkEGR\nkpoWclLzS5IxXErHKzjZxQjiUWqHfg3q/OnTpvWZ633VSLT15PnwfASI7Colkwrow3Z/9tpM/5aq\nR4+flbqd+7FB95lHB7oRTdhfwOm0vRSflRcise1hT6S2SHduJ7Wxra+SPKLTRjo+UPQpwJ2e0zC0\n8l6q26vzbadLbEWy29FkOEsHy7oquVeKB3eZNHgSCZecHJEVRo0pUdghba3u6kFgZFrvAgsq7tQ8\n5nWThnMwq75t9wZQekdc4yC1xcWHUMqJSe0RxHt+bc70quu7ndHoLiqU2kyLNG9zLLVnZTYxhINn\n6NmFio+fPm3SkD6J/WaU4MJBfp+O75XrAPuozEA/AfslIJ8BvNJ01ZPT0AnQ/TqVnktb0vcdpkan\npQJkekiAudg6wBdaDlwA7GZW4yQYBuiViRukpD6mvg3+nv0DC7CQMHqZ79kpunI4EESAihrgI3BF\nioFNStgpKfnSIBFBJWEoa0vrpDaDVmqOtDHUdJTaXReQuJ0uGq07httJ7bPtSsOefg/1hY6ros+J\n5j84hpgm/Y6RG/2MrwngNzdn9Rws+Sz8NpOMIun4XnkhxjNgGF1GsA96eAfycmwG8FEPTx27gpo6\nOa1V7qAhQtuCjvNQRy5x37oiqDIHAl0Rk0is+RzYIja92fbFreJpKW/G4GN22OoBKlbtBjQ1yDIz\ni/h/4QqMpm/7yp+uQ+sgsdEWoAK8zACjFNcAf0rtiJlepAtaqaGmDOutiw0YwFNqmxTH4cyv+5RK\nx1GeXY0fr4YztlkwLgk0DzG13+AsLgGzq0RQivAYJTz3FZjq2ZOpnPGdf6gOWhK3fvwQH15ie9ml\n4kAP9ArkHSleAT4ztHVgdtFRLenQWAjW2jJTvp3uCs2WlptfOsFtS7logHsG7KVpgJr79jtpKV+d\nDVgcuCdi9Lu1PmVSkbdjkqaoGfaAQYMaaGVt7ubiNwGvdV8ARpLRKEZq7tvC2UvOKmraYkptzgCr\nUruXygjjGoAIK2XfHBcZiO6Ao+47LwTvAVPtw0mROBrDUWuJGV9Bu6WX1JWOk+0V6TzScVL0blJI\n/ho29FsQVvJz5Uo69i0efXnaI9g3QKaU5fFRYmPNNszmWfXvWJlhZmizNx96N+w6lvWChjKEvxtr\nuiilGMqE4ZZtvjjhc1/1UtXv+aQlYQM86MQSKD5fV9x4WmSj3YpTGZ9NJ7VjQl2baZWaPZlcgED7\n5XrVDTMRdmo/3m6W9OH6N2mjjTvUx2lhF9S0xXSBWbDM2lnI6cSZub7GJIhjF7qrzj1KbdbRQDYu\n5KdATAwhLdd4Xt5HS+y40PNCOl5mdzF2HAHu1VNQrahpklLvLutpe0yCegAFM6vIsqThzE3j52g4\n8AIldpTZG4xDAx0HLqPkuxJ84uuuFLxS80HvFu393UEInDYzyqhKcwax1BJGMzHJbUv3VvezWekt\naYPgpIpGik7JrRxIxKO8siM2UnIaWUrginp+s86IVieJ0Kjjywtxsgh1bJ5rUlwszRRp5kwaytav\nXaW3UfFealc32Jg+6TalsOusU3QJD2clAlfKNge6vRTFAGKeNtwIWmPHtejdh7Hj482OxrTJP+ue\n60F58cAeS/2DE5DfFuBb/bsY1wpNr9+VmhP0Zv1uAW77Sa1mVzCVE9zHzSCW2ivFR3lKcwLbdsyY\n1lwicJxZ1dwyTNLApYoUJUIt7DgeH6/qYrtQchDQDmKusBCgduAyo2lzttKSjrel4eRrjoWuLWk9\nt37onfrEsTIt5LR8z7KsjPO4KW3ZJW5rRDtXAug7E0OAwWIe1BohtbGk28uCVspFOmk90HFvM1tU\noJsUUm8q9G3ZAfQ+vB8f2LVMQH7OqBZ13B+k90z33hjWyJKK3g1lTLCDG5gaz+yABZPYOQhwW8fs\nA1aWpuD6CiJiueUZhKJwHVu7gBbabvwngip2hrRmNC6mdyrdX9pJbFrEA+BhOU+pTSmtRWKnNE5d\nu8aQM2AlgC/aubsqWDHZHstdpDYLqXcb6ioOqrHM9hU1RbEiumB/bUpnT3RH6UxAU+fmoCAF1N3N\nzD71mGRdgtptMfG9X14uYNdyAPIK8HCLKVfMGPRv72hV906/ATs4yL9Avbv579LHTbxS5+b4ktJT\nAdiyuSsPnACgz5lmOnex5C+mn940TvE0av7cfzAB7j1TXOcjg0Cl5H5dMgeGLTJoRbXEj5Mq2to+\nsVSQakwMqRNFaDVvWHFSu363/nZkQ/XBUdOQNi4yQKv5LLtpNbrx1V+qa5+j4zSqdRlVNA1m/Bka\n1max4zHCrsgEDKo5ZfMUI3qAezMpJNb4Gudor65JN++3sDppMch07q+DZ3FOB385yqCThOURsM5L\nkPvDght6NB6emvFiZb1bJMMyefIOXs8px1xMrmv9thcZ21qo28rpjBq3floVp1VjHi23T6u1OamZ\nmngspkSuSQcZvajQlNx8PE67NWwH4tTbKLk016/ZsZrTcs7t5rGQvpKUu+xj3B86HIuILyNM45/0\n23tlTx8+p1POypHE53uh/5zdaR3bdFZwdD7q6INkZB3lLnQcSEkAGPUe9O0uN7/6m02eDyCfwSV6\n9ucGsFkmAM+dta+rLrQK9D1w+6oNMdKupw7c67p24CawYntNUFdqRkAbkHO7gv3kFH5dsy+sap2M\n296dumMxmKC+egnAuk8KtPZDLDglwBw6d/NjCWQwAo3nWUbHTr9Gw+QcBHKL/S0KtzlPugJ+LHfp\nnHvCfd09UkGdID9iCTHxw3+wG9RnAojtxwtP6fh8O8AslZbvl88tYLMcSe9aN0huHrsY3OVYSvME\nMtTAqquWd5MSWx3M/JyKBD6tawd2hQOcA8KwTQkf/5wSp/YDnwiiHaAT4BJSWgLQsvRAl2a0vPNr\nD1I6Lh8ApiQvurf3LEptN+VF3VioEdX9TZu7dZEqSGNABHrpvE7Os7YEJsz6XUG9IrartTwGd/Tg\nHj8a7JKskyCuEts+HajPiWtcS8eeWhkOhrxrFF5/1L/5iibGtKqH07CmekJry8SYthjIq84N2Oww\nNJ/KaT+/NqDRoN76uHJzRWXpg1hMkQ5LecuQ05s1I9FuVsRsL3Hfdp/ZVMExPNxfjB2P2WDuVa7B\nKgBUnvvsL/NrS5na2enYq3YRanLS0LMBQNzE3YeZppGHn3GBAYV2kWimh18n4WE+4Vn9PPc4pDes\n1Sg0w5kUYeoDvU8KGedox8hL99dtZ3uN2+jjxo+mbT6cxK6SYcbJrlUGejPq3jNp3undwFnJzVGV\nx0nLqX+F5I6RuA62PSUfpfdm39/5qUhjSu9VOUhQx9bUseMZkIanpA5du1JvSu/QrVPLAtZOAAAf\nDUlEQVTXbi6xU4+eSO2SbgqAU/NBapf3Hfp17PeF1LyWu3aXS8eAqVQv+0eDSZXcVTrXYzNpHtK6\nLCrAInEjWZ912eiS53IVYPc0rX+hk8YPA/IZuMf9id59SMtje6J3B5DTmDbq22uh5ARgb0TL/edB\ntTUMaaThigR51bkrDef+2j3jAmbyt9a2Onah5nW/Gsv6dgXArafoVdcWd4uxk+V3r4PXQhX9Gka0\na9DxGDQLHUcBLU9iOy0/VPfrirSbUaOCffRll+3638/p2Q8msS8C+7VBPoD70EoOnAV3v70Wiczt\n3pg26tt2wI9NrOTV2lpBTzJxGtpScgPF2Fqldj5Yo8V8xrDZxjMGFbp10bXTONYby6bGNSBiYWTC\nDRPw+crrd5x+pgvcp4us8T0XwRU/bLMetM8TEf0ggV4Na+wvdQSuYE39Wjuhc6Bn83NGz74OsDuq\nN/mw2SUgv2/Z41AzKu71M3Bb2yq97byVFL24wbpRvbzIbhTXLSV/HhbztRjZbIBYke4vBTaDAoqF\nXMs9pNROdxaNaqPrS6r7qwO8U/GWRrROik+MaAnyIrk7Kl5AXeqqZJ5J6YfQ3lgqcOu2dm1IrfNd\nhuuL7QuorUJ7Cb3WflGMZSPgo+/ubZ+X1CxXMZ4dUm8gg0jqOYOXMYBWrzUD6KVF1aQWH4gIxgi1\nMRS1C0Nd/V4YxAIYGLB6uqQFuq5hTIurlNMjeKXsz5IiLqsiW6xo0iB8Qj69cxWLI0cEsSBSKfmK\nXRmlBuRqKfD8aEiDmjIKhABXtSmfnkIJ7dSHmYrPx1bNqZxic7Wtfk3J7pFrsZjfkPBQoRFiOk4M\nGUNMaUSL+CG5vEvYE4lusOka47pedbUQyGRbhzna8D4bVNwMhlU61+mclOQ5jXP2mUzj1Do/u0xY\n0mO15OElNra0fHPO0Cave08pXnrBnhEtGxzQcl5rGHVn+nZ0CIXr2BzxU4JnEAopfC95V2WebmuT\neaU1zl+HPkExE9SczzisLYPeTQkeAE+pHfS86Nm7ujfs0uxJnRHNxXRI9+GVjq/30ld9lx5xFzo+\n1vcXdNAGW2P7Ksq1368X3anf6Nk7OrfICwD2TJ9Oi+ox0K1iS9mHH7g7wC8A9yEt92vMgZw0vQKX\n/uu0inNApjU7KXWNNCMlr3QvI9Ic9OD5CWCT9+Xaw3NTbm9Avg1YGX3dMljIGbSyMZgBxZDWv0Ma\n0YL4oO+UR7Ovss39y4ilcX+Fdjyyj0JLOo51c6K1qXp29KkqEHpAMwIt/dj9zQnKNcqb7fTsnfLg\nEvsQ6EiQd9cZ6+N3XgC4axs/d9+Y1gevpNSudfx5Wtar1O0j0mglp4W86tX1nHWt+nWR/KhtgQpg\nbmsB9yZgZdSni8W7GssiIq1l/RhiOnuHM526Rds8zm37fkAlGzkgjkXL8Vloaj53aznq2Z27q7i9\ndNJ3pp+Zno0E9blyHR17meScYOyrLPGnAO9Tmsc2gSVAp5N39aoJ7l2OtFPYXsoCfq5z23Gmv/Pf\nW6Wf010DVyL6BDGBxAJafAWNMoebL5UJEXVVW4WCiiMyQQMXCTyt2uVKi6mdCmC1KZKLqqdnY0ID\nT1tc/MWZ+FBzoYGYwaWpa4t0gSsmuZeQTqFviw0GkRooMq+U9EkxvdNuvuZEAzJFku/ylfTscyhV\nt76Gns2USejqMnOK+on1myxpTL5Qp3FWPVv8QjVVknX9omfzxzg4dBNC7B0R1NSzU/s5fmgPR8WX\nJXW3NgY8bCX6tA7Yp+j3lN4b+j1sX2op19heywtGGXC3VvJ1oOQ6tDU8UbKzY6WF3PENssI4H/mq\nNbYGqY1eahPER1K7o97V5dXp4IWSBx0vfaP1r6xKatuXbv9cuascPxoUKlMeJ4fsntP5p3mdciG+\nf1Ks/uT5j5+5+U6r2inXAXZbIPSBlk9ryxToM5DPwLxH0fOH70fTpvS7uLYquK3N1s9d/duVkgdQ\ngY5VEfRsW2PJnwfFLrHhQb9nri2N3+AgUQ14vesrJ4LUnmH+6xHMfRALDWKjEQ1AxDVWUO/5tIEt\nHWedncv9no6P7a5VqLqMBrUIVNm0VYQ6XECq8aB7oHd6NveHT6dne9swoG2oeB26j8vZZyUi7xCR\nXxGRn9tvY6O+VN9odJIEfQB9AvI9Cb4H+Ky7A7hHQI8zw7qmBPcA6uH8rdROkVylNlzXrlK7WshH\nqR1Rak64A+jAIL2989AqrrULbAHNbfXnmpbwrd49GjtHyV33OeOL7eqMr86gRg3gQkl9zzHcAXx8\nfK/sW9L3/dmj7r3pW6OxjDcxSu6dGzuna18yCL4TwNuOGlRQS1vQlmebuu7jIG9tgSzlI9VKewx4\nAD24b/vmdx50J62H2WJjLPk4E8xG25ziaWNCGs3S/QU7vibAZ0Er1aDGaZ2MIacRLSLYsHWbde43\ndoWQ3sXdNX7aMjWs2aDcOnqewEfQ8c7gNtR1wp79p0jqWYccJXy89kte8079DKw12iwpeblWN/AW\nUNeBlfXhDivfta/kBTv21/3YaBX3dqlU7T+Bs8BW1fcB+LWjNjNpXUHc1c/2HbhVik8BjYGe133b\nOfd3xj/H/+j7++Ce6dvWdrCS+3X3fNubF1yoeISTFoAm3dZOalMCVXKW35ouMNZPaDi3963j8xBT\nSNG9SdGRktx29l9HpeOzJlWSz869bzmSzvX4RfOzq3TeCIvJSSVQZROBBkSd+Pk1tNSeyHFKJJYr\nubsG6l11bgfxCPLNfhcQsQPoFwjuPKybOqvv6fnMt10NaAnouURlXfVjd1S8nHfq2mWMOQqQ6zXt\nr9n7CZAXI9pIx+cA76k4CohHd9geHac/e1ZmHZF69jXLKIHP6tkzQKtu3c4ZvO9NdGivW+PZ5Lpb\nJrlDxc9w8au4u37sX3xvbP/ur/o6/J6v+toAmJnoufqEAYL79BBGckG2QyYhlHUb+hnbqtZbPKQx\nHqbI+WF5UsINxm2kO0xVu5BTJjzs7ltXWBL5FkAWSADY/j8TFVZw+0qeCqhKmdarvq+xrQpbQMDH\n8pPfcwAZhX4KpTdztjlQtYAWI4htkFUPVmEm00rH8/q+H/XadbZwe006tAjC5TWuFrLHn+/4Wi8u\nwawmgOnyoLGBuy5LI2ABRr91bWLvv6fgzFxabyQzl/qNeYjpKz/1Cl553/udke2XqwD7W97+F8o9\n9X5nEZjEE/qPE9QV8LFIOEHDBAmt5Ap3P3P4Wq8FbtVe0u/4t2s8uUwGqVijW0ip0mcegI6lYvw2\n+X4lJbb5sYFV0w9s0YscACQktflI+4X77Fn5QCDogIgZuFWmIKa0BhB0XAslT+lfLg9KdPT1MTAA\nUlYA4WuyfmJ1Df1aXyLAuL5XHCv/eff14lC4bUpNwgDpfdzT69OvX7YroCNtlp6h0VPO3++/9a3f\niLd+0zdhhfWJ7/nu755e6koBKjdxY1IeQRdnDdJXk2wEQfwR9uzxGyvA9Z3XPohk3AaKJAfuBO6Q\n2gS0bzPQpv63Tmqj+ciLmCRCCsagFdLydXWK2SjoHbDN1vhami0SQICTapu7WDzGpEpq0nUBlwYC\nECsV2fNBSlZ18JU0MNaJm0vrQUrXRfxoBCu5x3ORPqpSyX6YnnicFNKtp+3PtAI6wFwGga7P3UF6\n1/Fbz6A9GFZpFoOn0ystAzWZl6AIlwhGyQtU+8pmob764x02tJPaKMxyr1zi7vpBAP8ewFeKyKdE\n5Ns3F2kNrXm+rJbxxqNRTWgJp+W7WF/pZtl8h74uG8Oa3eBWzz73p8+VmX/7nG97274a0/g+er+2\nteO1i5tK+wCVOqWTRrRu0ggQAO+lNr8nRrQ9F1gxmoGx4/W8sH2EeE49mno3H/8Fr2HsgA8dQjoW\nPj+WPXp7NIj0mExQx8ERuCXctL/OJHZcS8y4VcTW0ZM6K7FV9e3n2oTRpPy+lNUJg/oV2s0Fvk0q\nArqeTAL6ccvB3NNc6t7iwArqXak4Blp+LUrePxMPVVzjnkm9ubIIeO8dFae6AQe3S7TyrCz2odBv\n7X3cXCXEqLb1n+bXKsOLyUFKmErHUYCsvtz7SMe7lyvdMyEdp+TmYMHtjo6zvSIT5/uxungfsJ3G\neaRnjwv33baYvQFUrgA4wEu+cbbjdM6KorSTSFeHFbGQQLQrv6ur5R/PBHpDDrTxvwLdO8025y3j\nV4o8s09rEp8x60Yn0UtASwStDNKbknqU4qPknoWeTv3cl5YqoaOqSOvi/srjo8ui91XOAl/y2ABe\npMSmlGbZAB3lown0PJ4sIA14Tr2BAtpaN1jFS7sxmizcYNwnmAuoOyY1hpLFef030HdMnnYfaX7h\n0G5t6zPfsZYD2ESgbRrE9SYSetYnptRc521x3K2vomO3pbyG6NxlN7bTgGYgEacalhFUQ79eMdO5\nQ6pXyT3RuasU757CbZUyYCO1aS3nag3dJBGVTmqvq03SgK/eua7GWJiMQUXivTHTJUF98nPVt09+\nfPXMnpTonLN/gmJRX12Dunc++rCOd7Rbd7YnBrSwlAuX1M1zNrO9NEGtbu2mVBdBp2dTOgd7L2KK\nevZpB5ZheCv/81qFBrTcB2Soy4NmHa8GtLivIrU7/drbMemCruvmyrquiOWdBx2bWUv3ylUkdhOJ\nDylaC0ktaAslNzpp3ib6eAs/OPW5Kq33JTewlRidRL9NGaX2KK1Ziq69f67uSu00HmptGuNPpkoi\nPScd34aYAj2QAY1Lj9K9o+PFnw0PVunDS+fBK2PsQOe35k/U74PyIvXsO43tm2tozM3u/dXbdgAi\n8mx2bHNzYyfQ/q1eWq5ExQtYl4xUauLglQT5HsBHEAcoS/05Wu43Y1+VAt6Fkh+UEeRbKh4zAmJf\nC7q42RvRspMkiNOIxvpjOs5zynVHOs7nsEPHUesG/Roo77oM4nEsBlavaHnOXhLsvZxnV3pVty4d\nTnewt63TzfYmD1q5wDjo99T74GYo/ffal3Idib1UqTzXs0Oa7wA8dXCzoLcSMz6T2Ic698TgFeXS\nHjNKXm4Pfvqqa1vd1sXH/QSklv0EKRGoSB27B34Fdw/ilOYlxLF8hofQb5dn0oE9dOU2BbkdS6Db\nqVs9O8owIWQQ+tZk8wvzct+Ou8Z3Cc/V/hiwxdZe6dvtg/qwVE9KVu42P+rJ19Gxy8uze0+txzqc\neEfmpHQZOrTrCwoLvhCBrrZuY6d3A8hIDuxYywFax1MXHoJXblnGKLSok9x2pbnzbYcNQRWMOqN1\nnH85l0DWeFY1ysyAzGi0fIYMVmlIgMfa2fxodgsFYm1oU40bIGuvX4ee7To1sKtnxzTOFZuBgNkh\nUsd26/+kiGATbUY9uwFY/XhNcLinc9+22HPfP9ZbwnOfgyiTG2YbDcu4+gn0V9tKKt7Q9Ss7Vizj\ncaGhTtX6BynezrOs5UoSuwUFbwsldsYXt4ZOmnd0Lup8gBCklO707V5ad9u1TKzjd7aSTwaCTmrr\nRMfGXGpvR+L+d6pkBpB68w4dnyVYGO8lQa2bOitVUhdKHofn0zhT4k6kOHXtUecGT+V774/1d3Nc\nZpL+IctemmKWTRfYedU1XdK8wW0GrGOX11V17La0zlhmgJdDgLc4ZqCu1LxS8NqRKi0HsE/JUcF8\nhb+6B04a0VQ3oK6BBkThlo6XUwpYKx2vc64r6CsdH+u6W6+3BGx163F7R8eelYhEG5Mu1JleOzo2\nC99OUvJHUrJLOXJ1bRvvA76LsESpm5XUq/Iz+LAvKVcB9tIES1jAU3JLqTNJ7sB3PatK727f+1ir\nFvPBoFZB3enbk3IvQ9ruCziWwPa1TeAQRrIC4DxFh/Ntd0yTNF4zru31KeH72V7lFxDycZTSs8II\ntGBSg9SuTXcMaPXYWB4j2myv3ArM43XPzd6K39doP11ed//E/vugXEXHfsMNZ0DZfjX6pNQpevaa\nXW1gttHHqDs2xpRHnQDrKfx79G1HvHbrY8qpYwPAxrd9ixIx5GW7+rTFFw+okWgxKQSr/38/7v9N\n6rU3+rVnSQldu4K2nxTCZ6Uqpoei17E7ULNOaIvw++BgeWZCCPXsKK0HuiKvG2NHk+z0TVATHDZo\nFx9O3frU7Z/Xq9Oqc/AOcXYIs3aThrXKQsUVXIXTAgokG5bvLvqMNpajHx5ALn6NrZNbD3Xtq0js\nZ0vD0gQ3i0nuZ0uL7aUJblxS926x4jIZqfkguauU7pPZzyzlPSW3p9NL83u5vy4YGMZ1mOp2uL1Q\nKJpum9eBsb+2biR4pe4dO8C5zt5L7d352bMzZy6s0YCGKsGPn/Xe4ZGiz45do7jd6x7n62Z7mmd8\n0n73hro2l0tr4IpU/NnStoBeJEEffu3BiFaAG8YzJENM3bv14A3QOqh3yqZD3UXX3jOiHdWdeZE6\nAfRIs3l4DC8df2bUqWfMLieC7EwIOSoHencaOss19vRpDtaTy0cTyKYujz2MsWwvTRLLwWvtyoWY\n60fviZQ+d55c8GNXoeLPfEL4qojFwtdIEGBtmAP75EHwqgzEJ6NQrKtPSYQJxtaAdU23CYLqKoCk\nvop1e6y4v1imLi+Ri99IpeNWMczVRlLwOjEETjvNhaHoaX2CXIJQ8p5k6FT2XBcUY1q5HwJWYxCw\n69X5Qbv/tFDxS4xn3SSQWt8kNR9Jd1e1zHehpZya9khleIRn254bA41qS87RrpM+4iI7567rODvY\nEy7sCKODa10F2DcL9cbsUOyE9Pee1vIQTwbetTm4HbytGbhFehcpnZh1NpHhXEJv5AJ0PBZFJro2\ndkB+admZ9dU1YRKG7pyj6frInlMlt3AedzarS+lWPftcr9uCO3Sde4Grm8m1TupOEx3xnqWOx7cY\nm29VzgGZIL74etWXvd8IG7/2HV7O1Y1no//VJi8obppl4FRfflI9kcBJzAiwYgVcSquDuq3IFTN8\n4kBkJGh8sAayCFYRGhU8jdHp1N1rndp5l7KR2rWU7CrxEPgtNIx5IAuDVNQkak2XRAMa/BmKZqAK\nAx9W7SckVEZHA5rPOekNaPwdIHUe7hRqXg1oF6VKKrr0RpK7NUz893TSURskBqlzRjMO1S+iENx1\nUgi1KLtP2k0S4n3KYX/vNeECELpTF6Sy+e1Sp2OQyvF9X4mKV4mdFJz0u8mK02ov3ZLzFYoZZl2f\no+V/OFhhjJppTCMFD5D68jWqDmJSdD1Fm3tL7T3OVuh4LmdUpLW/hBqplpfsR3wtCAxKN/xcHyue\n87P5G+iupzaDbO8vIYEvVWpvWM+FUmnQvTtreC0emRa76FMhPWa5hG7f+zcipdVlGUd3rnJ49Mo6\ndk/Bmd4HaBDRWKOK9QuNLCtsrWW4fn2CG8zciLHaH0kVkG6VAl4Cr3TKmQ44LXfhcjV10vR4jqob\noFc9O6Q2sKF1pZeRAU2nDZayqkbihbhMfLsE2XX8eOIFnnMUWspT3Dq++6z9Z7Zzue0ex8F1vCsR\nGosO//adSqowtztnl02vmgkIvYzCdSO5x8Ybq+fRH39gHZsAzUwefc4u6th5r9aec4xpGafdxrLx\npL4daqc4GCidSPvIiwLQRXrvlXv4tPfKOAIblRr07IO0eCGlx86gfRuyIg6gWhlQPe/oXlEk9R10\n7EhuOHuEVzBd30WKx4B0UIKl7BAwYDsX+zalT2Y4G6gvuYiOLz07xAU0HLgSsH/T0sKQow7uFYqF\nVtGTrR7JDwCI9HWqK0AJDdiqjeI01im5dUINqW0Bx+orSa65r6ek45OAlZrw8C5GtNvo2TWTKStH\nPbvrZMWAFhbzYkE/vK/66ThlWsZdHZyUXsfuLOKjlXzPUt6ko/55uveDtp+O+Fy5JEjloUqkSML1\nWPqmz01H5lpXwX7+OVxNYjOTh4obbdQk70m31vq19KzVdc+lCdaTln5lwFaRUldBTSk+SG3W4QKp\nXcsldPxgmJ/p0PN2g7Wc9UAJJOq7EP3YabzRUp9Gp9t0u33yO5Qzf6oGGXXS+yA2fI8g0Gh2eCvD\ncapv1y6X6NpmFJvZXfrvMVa8MrtcVvcuN7hfrhKgcuMBKAxMWcTqWgMWsWPPSuBKxJZ7u8UDFxbO\n6w3FSlJACALEdR8w6l0DVqLINpa5K9eYGAJMKf1u9Nm5S9XOMDl1FqRSj9U+ZHr5JT+/L4X3TzmI\nzS+g3os82+7n9lHs+DWjze5TNrnP7nSRh2Mg1/Fji8coqw1SJ7jMWYFTGVIpuWkVX5pEmG1zHXsR\nGLWWnMNLqS3QkNQ52ysl82hUizLkR7utneyoHNLy4Ye2OriSdlz0W5cYz6Lt7FYkbHU7P1mod+Xr\n1xoAx1+LgVoxk9TnJPi1y70s4jVe/OyP7B2bZUI8sMscXOuq7i6GPTbxdadQ6KWbIJugGHsaVv8z\nNMCtqg5y18lOCF07rd/IF+4inXQ8QH3GIHSvAJW9MgtCCXfX1jKeurOnsy26tEgxpqF/h33K6uLy\nGsrM113U7o71RKk6cklHvPFl75SOkjPhggepyItG6i1KTUWcdXNI7RnXZgYzC0q5xWjBvjF4Cm77\n1K46bfOm0Osbyf1FELRcYCCs9JuWc5FMjFhpt9QO2NWPnbKn4zFJZCwPSsGPX8HR8emxoS6jzrZt\nmdzw8t/zjftYsau60xnO7nbNKxjUr1rGZXVvceKm3FqQjJZx27jo1Cvp2AZegnsRm9CxSM7TXhyM\nrSWYa2bTFmDE8F0p4Zwp7QI4jl+/txy+pPXu5pw93Xqvbvrzup3lNdvGBfW7ZbSOPwIiX7ZB4GUq\n10mNJEw/nKAluJsII5KtDSihUxo3wQB0u26+ONn2If9spXYxqHU3eQHwLzNrn2+zOeUh7La3vIdL\nGsX/fzjEvN7BeG3tbrj6xT9yFtgi8jYR+a8i8gsi8jemF+mAWeg10EntoNxIie2/kdZuIKS4Hezu\n5ewfOvNfJpUPYxi6hFZb3dFFcnNGvetvXa9DTQa5Wz736XN+WczZk/KwYLzwR698E4ePW8za848A\nvA3A7wPwdhF589iO4F0GcN8UgMcn9OmejgPopLXfQHx11HwKUBsMPvGxDx3S8ocC8l75xMc/PK2P\nXOPABtzbdz7Xm8clgM6V97/3lbxGWh9323eXvqvOPLEUE/gf/IWf3z+PgzzkhYwJ//mXfvGidg8y\nCEwu+lP/4afvdclzz+wPAvhFVf2kqr4G4J8D+FObiwgnwZN2+/egQ0sYz9DRcV6DRYoufZTHLF1e\n2eYTH/tQf6FHLv/91Tmwx/IQHWa85Afe9977XXBvUL1j+eAv/rerXeu+5aOfvAzYdy2HyQsn5ZX/\n+DOH1zv3Fs4B+3cB+FTZ/7TXdYWGsV4i9z9S9enDG7o2GF8CcD9Eubqr7jblBbOep3L7cu4NXdZ7\npJeycfELB/iZ1K71m8yXL2O5hYHsPsa0qwbXXNLoCcSfk0WORn4R+XoAf0dV3+b73wVgVdW/V9q8\nnBEHT+Wp/AYpqttpPeeAfQPg5wH8UQD/A8BPA3i7qr76UDf5VJ7KU7l/OQwpVdXnIvKXAPwbWHTd\n9z2B+qk8lZe/HErsp/JUnsrnZrmXZeSS4JUXVUTkHSLyKyLyc495H34vbxKRnxSRj4nIfxGRv/LI\n9/ObReSDIvIREfm4iPzdx7wfv6dFRD4sIv/qJbiXT4rIR/1+7udAvv+9fKGIvEdEXvV39fV3us5d\nJbYHr/w8gG8G8MsAfgaPqH+LyDcA+CyAd6vq73+Meyj38sUAvlhVPyIinw/gQwD+9GOqMSLyear6\n6243eT+Av6aq73/E+/mrAL4OwBeo6rc+1n34vfwSgK9T1f/zmPfh9/IuAK+o6jv8Xb1RVf/vba9z\nH4l9UfDKiyqq+j4Av/ZYv1+Lqn5GVT/i258F8CqAL3nke/p133wDzF7yaJ1YRL4UwJ8A8L14yMD0\n25VHvw8R+a0AvkFV3wGYjesuoAbuB+yLgld+oxcR+TIAXwPgg498H01EPgLgVwD8pKp+/BFv5+8D\n+Ot4mKxGdykK4N+KyM+KyJ9/xPv4cgC/KiLvFJH/JCL/VEQ+7y4Xug+wn6xuZ4rT8PcA+A6X3I9W\nVHVV1a8G8KUAvlFE/vBj3IeI/EkA/0tVP4yXQEp6eYuqfg2AbwHwF12te4xyA+BrAfxjVf1aAP8P\nwN+8y4XuA+xfBvCmsv8mmNR+KgBE5BmAHwLw/ar6I499PyxO7f41gD/wSLfwhwB8q+u1Pwjgj4jI\nux/pXgAAqvo//ftXAfwwTM18jPJpAJ9WVQaKvwcG9FuX+wD7ZwH8XhH5MhF5A4A/A+Bf3uN6r5si\nFgP7fQA+rqr/4CW4n98mIl/o278FwB8DcNnslCsXVf1bqvomVf1yAH8WwL9T1T/3GPcCmFFRRL7A\nt98I4I8DeBTPiqp+BsCnROQrveqbAXzsLte6c86zly14RUR+EMBbAXyRiHwKwN9W1Xc+0u28BcC3\nAfioiBBA36WqP/pI9/M7AbxLbD5rA/DPVPUnHulexvLYKt3vAPDDPh/hBsAPqOqPPeL9/GUAP+DC\n8hMAvv0uF3kKUHkqT+V1WJ6m7jyVp/I6LE/AfipP5XVYnoD9VJ7K67A8AfupPJXXYXkC9lN5Kq/D\n8gTsp/JUXoflCdhP5am8DssTsJ/KU3kdlv8PXxgkdlkjdeYAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1032aae90>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"test_fig(alpha=0.5, method='mix')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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UMt5bVHNteLPffZln/jnADbzJLKfPHf25Pztjr8qCxaWwcK1jiwXABfyRZsf9vo/rj8Au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8pyMggK4MkswMDcUvGZjheoS4PPdJznXHcC/campm3DNYLa2A0Zbet5ecfGXkk+vxnU9AwunWav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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x104f15a10>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"test_fig(alpha=0.5, method='direct')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.10" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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