diff --git a/README.md b/README.md index c39c248e5e7f2cf95e5eda26fd19bbe17541f28c..95178f6c73b721107522c00b39a6bbb7e14170f5 100644 --- a/README.md +++ b/README.md @@ -47,4 +47,5 @@ Document: [/docs/develop.md](./docs/develop.md) ## Supported Algorithms - [DeltaF](./docs/algorithms/DeltaF_usage.md) +- [SqDist](./docs/algorithms/SqDist_usage.md) - [XYZ](./docs/algorithms/XYZ_usage.md) diff --git a/docs/algorithms/SqDist.ipynb b/docs/algorithms/SqDist.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..c9201efef2b3d4ecb71e4f9f9e9bd1eda03335b8 --- /dev/null +++ b/docs/algorithms/SqDist.ipynb @@ -0,0 +1,826 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# This is required first for inline plot rendering in IPython Notebooks\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# standard imports\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# import HoltWinters.py module\n", + "import HoltWinters as hw" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Unit Tests" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# define assert_almost_equal\n", + "assert_almost_equal = np.testing.assert_almost_equal\n", + "\n", + "# configure to test zero-step predictions of 4 \"season\" cycles\n", + "m=4\n", + "t=np.linspace(0,2*np.pi,m+1)[:-1]\n", + "hstep=0\n", + "\n", + "# initial slope is 0; average age is infinite\n", + "b0=0\n", + "beta=1/np.inf\n", + "\n", + "# initial trendline is 0; average age is 12 steps\n", + "l0=0\n", + "alpha=1/12.\n", + "\n", + "# initial seasonal correction is sinusoid; average age is 12 steps\n", + "s0=np.sin(t)[0:4]\n", + "gamma=1/12.*m\n", + "\n", + "# standard deviation of unit-amplitude sinusoid\n", + "sigma0=[np.sqrt(0.5)]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PASS\n" + ] + } + ], + "source": [ + "# predict three cycles ahead given l0 and s0, no inputs,\n", + "# and assume PI only grows with trendline adjustments\n", + "yobs1 = np.zeros(12) * np.nan\n", + "yhat1, shat1, sighat1, _, _, _, _, _ = hw.additive(yobs1, m, alpha=alpha, beta=0, gamma=0, \n", + " s0=s0, l0=0, b0=0, sigma0=sigma0, hstep=hstep)\n", + "\n", + "# check output\n", + "assert_almost_equal(yhat1, [0,1,0,-1,0,1,0,-1,0,1,0,-1])\n", + "assert_almost_equal(shat1, [0,1,0,-1,0,1,0,-1,0,1,0,-1])\n", + "assert_almost_equal(sighat1, [0.70710678, 0.70955777, 0.71200031, 0.71443451,\n", + " 0.71686044, 0.71927819, 0.72168784, 0.72408947,\n", + " 0.72648316, 0.72886899, 0.73124703, 0.73361737])\n", + "\n", + "print 'PASS'" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PASS\n" + ] + } + ], + "source": [ + "# predict three cycles ahead given l0 and s0, no inputs,\n", + "# and assume PI only grows with seasonal adjustments\n", + "yobs1 = np.zeros(12) * np.nan\n", + "yhat1, shat1, sighat1, _, _, _, _, _ = hw.additive(yobs1, m, alpha=0, beta=0, gamma=gamma, \n", + " s0=s0, l0=0, b0=0, sigma0=sigma0, hstep=hstep)\n", + "\n", + "# check output\n", + "assert_almost_equal(yhat1, [0,1,0,-1,0,1,0,-1,0,1,0,-1])\n", + "assert_almost_equal(shat1, [0,1,0,-1,0,1,0,-1,0,1,0,-1])\n", + "assert_almost_equal(sighat1, [0.70710678, 0.70710678, 0.70710678, 0.70710678,\n", + " 0.74535599, 0.74535599, 0.74535599, 0.74535599,\n", + " 0.78173596, 0.78173596, 0.78173596, 0.78173596])\n", + "\n", + "print 'PASS'" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PASS\n" + ] + } + ], + "source": [ + "# smooth three cycles' worth of zero-value input observations,\n", + "# assuming only the trendline varies\n", + "yobs1 = np.zeros(12)\n", + "yhat1, shat1, sighat1, _, _, _, _, _ = hw.additive(yobs1, m, alpha=alpha, beta=0, gamma=0, \n", + " s0=s0, l0=0, b0=0, sigma0=sigma0, hstep=hstep)\n", + "\n", + "# check output\n", + "assert_almost_equal(yhat1, [ 0, 1,-0.08333333,-1.07638889,\n", + " 0.01331019, 1.01220100,-0.07214908,-1.06613666,\n", + " 0.02270806, 1.02081573,-0.06425225,-1.0588979], 8)\n", + "assert_almost_equal(shat1, [ 0, 1, 0, -1,\n", + " 0, 1, 0, -1,\n", + " 0, 1, 0, -1], 8)\n", + "assert_almost_equal(sighat1, [0.64818122, 0.67749945, 0.62798561, 0.66535255,\n", + " 0.61101568, 0.64444779, 0.59675623, 0.63587127,\n", + " 0.58477433, 0.62111112, 0.57470621, 0.61505552], 8)\n", + "\n", + "print 'PASS'" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PASS\n" + ] + } + ], + "source": [ + "# smooth three cycles' worth of zero-value input observations,\n", + "# assuming only the seasonal adjustments vary\n", + "yobs1 = np.zeros(12)\n", + "yhat1, shat1, sighat1, _, _, _, _, _ = hw.additive(yobs1, m, alpha=0, beta=0, gamma=gamma, \n", + " s0=s0, l0=0, b0=0, sigma0=sigma0, hstep=hstep)\n", + "\n", + "# check output\n", + "assert_almost_equal(yhat1, [ 0, 1, 0, -1,\n", + " 0, 0.66666667, 0,-0.66666667,\n", + " 0, 0.44444444, 0,-0.44444444], 8)\n", + "assert_almost_equal(shat1, [ 0, 1, 0.08333333,-0.91666667,\n", + " 0, 0.66666667, 0.05555556,-0.61111111,\n", + " 0, 0.44444444, 0.03703704,-0.40740741], 8)\n", + "assert_almost_equal(sighat1, [0.70710678, 0.70710678, 0.70710678, 0.70710678,\n", + " 0.70710678, 0.70710678, 0.70710678, 0.70710678,\n", + " 0.70710678, 0.70710678, 0.70710678, 0.70710678], 8)\n", + "\n", + "print 'PASS'" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PASS\n" + ] + } + ], + "source": [ + "# smooth three cycles' worth of sinusoid input observations,\n", + "# assuming only the seasonal adjustments vary, starting at zero\n", + "yobs1 = np.concatenate((s0,s0,s0))\n", + "yhat1, shat1, sighat1, _, _, _, _, _ = hw.additive(yobs1, m, alpha=0, beta=0, gamma=gamma, \n", + " s0=s0*0, l0=0, b0=0, sigma0=sigma0, hstep=hstep)\n", + "\n", + "# check output\n", + "assert_almost_equal(yhat1, [ 0, 0, 0, 0,\n", + " 0, 0.33333333, 0,-0.33333333,\n", + " 0, 0.55555556, 0,-0.55555556], 8)\n", + "assert_almost_equal(shat1, [ 0, 0,-0.08333333,-0.08333333,\n", + " 0, 0.33333333,-0.05555556,-0.38888889,\n", + " 0, 0.55555555,-0.03703704,-0.59259259], 8)\n", + "assert_almost_equal(sighat1, [0.70710678, 0.70710678, 0.70710678, 0.70710678,\n", + " 0.70710678, 0.70710678, 0.70710678, 0.70710678,\n", + " 0.70710678, 0.70710678, 0.70710678, 0.70710678], 8)\n", + "\n", + "print 'PASS'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Construct synthetic time series" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x3aa2f50>]" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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DsnFW+6ZWjjlfz6iS09lalLPNpNseyYnWnM/IMeeDjCo5ne1kOTnrNM472zTN+QhH+JBh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\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x3a7f4d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# first 50 \"days\" at 100 samples per synthetic \"day\"\n", + "t000to050 = np.arange(5001)\n", + "syn000to050 = 10. * np.sin(t000to050 * (2*np.pi)/100.)\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t000to050/100., syn000to050)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x3daca90>]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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9cZnJlRaH2ZUWx5x3M0riJMUck9GzuPHEDhBOuJQ5qftX2TibfVMqx5y3M4rkNNKDUlJF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\nF1Gt7r1GyCl1UJ9HtQJ6Bumr3jXne4VtqTlS599EdTyvEnL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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x36595d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "t050to100 = np.arange(5001,10001)\n", + "syn050to100 = 20 + 10. * np.sin(t050to100 * (2*np.pi)/100.)\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t050to100/100., syn050to100)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x428cd50>]" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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krZ7TclzJ5NnBoxppEpkxmVVwi/UccXKcTy6xup/6v4+1/muhtLkc5xCroZnV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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x3d8dbd0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "t100to150 = np.arange(10001,15001)\n", + "syn100to150 = 20 + 10. * np.sin(t100to150 * (2*np.pi)/100.) + 20*np.sin(t100to150 * (2*np.pi)/5000.)\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t100to150/100., syn100to150)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x46ef710>]" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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sYytuLXmYvOOiKsdAFZmutZzBsYkpB3Kf69rWPANyE/dRYEVCd3xSDdZUmW6TGZ22TLdZ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bBRja6ycEbXpv8OKYOIR4hVMVXJ8GGDsZclZ+MES60MFdL8B1pkRkvUHQ8QFxGUH9z7gBfh80Ed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\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x42705d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "t150to200 = np.arange(15001,20001)\n", + "syn150to200 = 20 + (10. * np.sin(t150to200 * (2*np.pi)/100.)) * (1*np.cos(t150to200 * (2*np.pi)/5000.))\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t150to200/100., syn150to200)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x4115bd0>]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Sr60yRHmw+jDxweoplJcAE7oUr8ZnjyqFhlOHA4/UfFltsBoC4gup3ieZ9xngZ0oe/1ng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\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x3a8ec10>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "t200to250 = np.arange(20001,25001)\n", + "syn200to250 = 20 + ((10. * np.sin(t200to250 * (2*np.pi)/100.)) * (1*np.cos(t200to250 * (2*np.pi)/5000.)) + \n", + " 20*np.sin(t200to250 * (2*np.pi)/5000.) )\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t200to250/100., syn200to250)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x4a62b10>]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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XAemW9jckiNoc1qF8m9j1CZm624J8SV8Xek5zyzDXJSSsbpson2jiIn87s74Y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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x4279050>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "t250to300 = np.arange(25001,30001)\n", + "np.random.seed(123456789)\n", + "syn250to300 = 20 + ((10. * np.sin(t250to300 * (2*np.pi)/100.)) * (1*np.cos(t250to300 * (2*np.pi)/5000.)) + \n", + " 20*np.sin(t250to300 * (2*np.pi)/5000.) ) + 5 * np.random.randn(5000)\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t250to300/100., syn250to300)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x4b2da10>]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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M1rP6EeD6ZJlOs5NWMbbiO32wZo/f8+tXTpsw4HGSPryY9e+y6Rx9AvjwpBqy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\n7EaBmrQLpudNnUie6jC2Ea7j8rhi7PUt1u/YIXCUeooOJ09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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x4124890>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# all 300 \"days\n", + "t000to300 = np.concatenate((t000to050,t050to100,t100to150,t150to200,t200to250, t250to300))\n", + "syn000to300 = np.concatenate((syn000to050,syn050to100,syn100to150,syn150to200,syn200to250, syn250to300))\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t000to300/100., syn000to300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Apply Holt-Winters exponential smoother" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# set up HW smoothing parameters\n", + "m = 100 # length of \"day\"\n", + "alpha = 1./100./3. # average age of level is 3 \"days\"\n", + "beta = 0 # slope doesn't change\n", + "gamma = 1./100.*100./3. # average age of \"seasonal\" correction is e \"days\"\n", + "phi = 1 # don't dampen the slope\n", + "\n", + "# initialize states for HW smoother\n", + "l0 = None # this uses algorithm's default initial level\n", + "b0 = 0 # this is NOT the algorithm's default initial slope\n", + "s0 = None # this uses algorithm's default initial \"seasonal\" correction\n", + "sigma0 = [0] # this is NOT the algorithm's default initial standard deviation" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x5732f50>]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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zW4mA8jzi6suoMDkn4JpfUMWpJzw4bSCVl5C4L6GyyzsM2eHggx57F+C2mJee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8yLq2Eno6J8ANtOlnk0N15irAxKIOYvq9aiegqN+eJqax6o3r5iDqLCkHA4EHayYlCYNmrDTkZj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\ns9oBwGChC3twKbXUkpKGaZyHsLwnpaW2Tqsux84rqO8Y4vKVZmqppWke1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IPKMAzDMAzD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\nGIZhGOZIwBtUhmEYhmEYhmEY5kjw/wNy/bXY+FEICQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x4a80b50>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# first 50 \"days\"\n", + "(synHat000to050, sHat000to050, sigma000to050,\n", + " syn050, s050, l050, b050, sigma050) = hw.additive(syn000to050, m, alpha, beta, gamma, phi,\n", + " yhat0=None, l0=l0, b0=b0, s0=s0, sigma0=sigma0)\n", + "\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t000to050/100., syn000to050, color='blue')\n", + "plt.plot(t000to050/100., synHat000to050, color='green')\n", + "plt.plot(t000to050/100., synHat000to050 - sHat000to050, color='red')" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x4e6be90>]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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dzoP8NezGPiU77tYUYZdzr7iB2VSrAMuv2oROwnl7uo7Zlq8SMPy78abi+NTH\navGpkzHNhUAlAMJsv3onmRTZ3yC7lVG6B9RsvoL2dOLnUfZ53E21++DtxkH8LueBez4F5/ME+fMA\n+PlrWMqcF4f8XJpzsXxSkE+SxgC0ZxqKnN9Le7oTn/pYIz51MqaxECqt7Wbrvj7On8PdyIjlE5a0\nHUXcCsHqdr/qNlQDu/7gcA2YVezLvFlB5s0Lnu/+/Q8Cb+Qd/2hBxY4Q2BSv5shWvgGcoXQ5j4jk\n38eqH2TqMhjBRWCDTBAz97z89MnC9ftozSVKidW+gbsJhWvyGV27cRveVJJN2/vUc+TXTKVrZ5xq\nrwQT8SLZLTWl16nMEuReAiDMXsSpqpVDbZdmAQS569h16QVTvOPnp3CqgrCrrHpTmyoLJnb9fhp7\n/fhEHAPQmmlgevILptm+i9ZMFaC7SUZYLYXDcPPITmlWkH2W3HpGqRfXqR3AzyelWaHzAu6W2ibp\nlmcI3C7n7nmcmhrn7rpLmE0yqEH+OlZD3s+PHZ/Bago6VjfoLW5ito5Iv4vp3U9jwdv5nGyS8mVV\nVmuI8/mITCCf6LAbR/G7pVkiepb8uqHUl+lU9xF0OY+cF3EV/TwpzUqSSen83CXMbvv5CrYK5x9d\nwPAEHStR67ypLSwVztuvobHH3/ncnmkqcW62XrWdWIhPnYxozkeYvoKfN3rleJHzNLkbhlK/llPd\nj59PzhdhVn1td8vThNtre+4CTlWt7DF3I7vDua/q5x/djxFAx0wSJv7UJmZLfu5DkkDs+XlrtonZ\nlm+BMVuvoj3T5fzhgNZcB8NX8fMj+FOrAETOM+TXTGXOg37Oy/KJcOgmjbsJxMC9iK3q5zeyhM7T\nAPgFRT//yCIihtjsKr3Kfv5qmvPtnc+t2RaGAudW65W0djj3aM90lPoy7cbhnQRi6DxD/oYq5/t6\nfu6+iKvIeXaA80s4NTU/z685RN0Eol9YwWrIVzJmwkPERi9p7E2VsVT8vP1qGgs9ztuzLUxPvpzY\nar2S9nQZID71cIv2dIwRqA/WksStEKzuIwnmtqEa2O2Uy8YxEbAOqGQ/+8turwP7b0JZstLfSQgy\nZIIDWI37gI9z9NF9KnaAA8ye8THC88AGohNTuij/pT/y2H0E+SA+EbfiE3GMN9Vk7kX5wMXd2smm\nxSfiEG8q4ODj8s7jVJfwC9cAmD23QrYC+78q38OYrcwTuMlhz6k8S16xRDW3USCykzKdyHpJpVwx\nKc1aM4Cq7viPAAAgAElEQVQkmxa4l7Fr8r0BTvV+mgtJmQ5AkF/Fbsj/bEzvHlqz9Z3P3lQFqymf\noLDqt++U6UCySVotBc57ZTrxqY818IoxU1fkD9VO0tsJQMd6Rrksebu3EyDMvqRyMBoo0wEIcpeV\nNsleb2eSWPALq9gKm6TZV5oF4JXKWC0Fzpu9Pj+A1lwbs61woKkfwOty/slfruLnY4RCWbJTmcPf\n4fxZZc5zG7khzhX8/IRDbiND5GwHq5eU/Ly/txMSzi0VP2/ds9PbCdAuVdQ4b9w+yPmsh9FW8fMD\n231+8aMfqxC6MZlA/rqObH8C0VHn3F3PEWSTgCPMniFbUeHcxd1Kejuh6+d1Bc7b91Mf4HwNuynP\nudW8e6e3E8ArVTDb8j/jJGnc47w518b0FPy8n/NHbhDZaqXoTmWmj/PnUqztvaRxwrl0iWqvt9NO\nWjOC3BXsunwJpum9bqe3ExLOraZCyXbr7p1qNIB2qYqlwLnVuG0nmQTQnPOUOHdqO72d8aOPXFcu\nRe/28wIQOc/hbqiVJefW3R7n7hmVsmRx7Hhpp7cTEs5VStHN9mup9yUQPUXOrdZdg5xPV5VaTuzG\n0QHOW3Mehqd+57kkboVgdQG40fd5BfVg9Wrf59R24pg60AFU6uj730f1XebZ82wTwTXgk0xfWFS0\ns8jMeYCL8Yk4xi/cYPas/AI1c+5emnO9zc0vViisyB9onMoRvOLqzuf2dIOpa/IBR7ayd7tMJz4R\nd2jNhOx7Un7BzG5NETrJwjL/wjncDSH2f12+XCy/aoN4svvpedwt+QVTRHfhF+P4k7+cLC6Rc06p\nLNlq3kez29sJ4OeuKJUr2o1X7JTjQVKWbCn06PWX6UBSoqqyYPaX6UBSrmi25BfM/jKdMHsJw0c8\n+HGpg2NSprPWK9MJFEtU+8p0EjuKZclm+15a8/2cq5WoWs3baZc2dz57hXU1zusH8YrXdj4npegq\nnPd6uCEF55uFnUqDMHsOs4VsWXKvNMv5emLHfR53U97PDf8+WrNJPy9A4Kr5udm6Z8DPg/xVpX4t\nq3k7Xmlj57NfXMdUKFG164s7CURQL0V3qvMEuX4/VytRdTcLhNkkUOhYZ7EbQhw7LvVzTvp510wi\nJ0kmhc7zan7uvYZmt7cTupUYCuWKZvuencokAD93XY3z1iDnnmJZst1YxCv0zl5JiaoK53M7PdyQ\ncK5SruhuFAi7ffsd+wWcqnRZ8k7SOOqW3YbZF5TKkk3/NTQW+jjPnsepKnDeupvWbI/zIK9UcTXW\nz9Uqrhbx+zmfUStLTpLGPc4bC6p+nt/hPLKeJ1sWYvmEFF8J5zd6SePQeYGsAuf9QyABguwFdc77\nksbqnN+GNzXk5wotJ3b9wADnSftBmqtGpXArBKvzDAar10nUVlnsAVb7Pqexs9b3WdqOEDiAC2zf\nL7sGzHSv15F7lz3P1YHngTM4tf2oBKuGt5fCdZtubzCRtUbuhrzikq0s4ecrO58Dd0NpYl+2shc/\n3zvQ+MUK7qZK0DtF6FzY+dyebpJflQ963U2HjvUSQPx/fiPAK0UsfUEq6BUPfGIaqwXt6aQUZfri\nM+TXDOk7Us32K2nN9rJpkfUCWYU+DsM7jFfqLXShewGnqtAv2N6PX+jb3BQPRnZjjiDXC1a94gZW\nQ2GTrBUJsxd2PrdLDaWBFe6WTeS8ADtlySF2Te5gJKJ5RKdXphPZz5FT6OMw/FfSmulxnhyM5Dk3\nvcN4xX7OzyuVrlmt/QT5HufKm2RjjjDbx/mUUu8OTq1A6PQCl/ZMA0thk3S37O1s904puiF5MBLR\nPuIMO72dof0MOYWyZMMb5TxbVuPcL/YSiIGin1utffh9nPv56yrlitjNWQK3n/NNTIWDkVMtEGZ7\nh9jWTANDIQDKbtlEzjbnEY35SLpEVYQHiSziRx9Jfj6R83SXc7mKK9N/Be3pfs5fVOO8fRivj/Mw\ndwFbof3AbO4jyPeqXQJFzq36LKHb28+TElUFPx/mfLapFPS6W9Z28rlbii5flpwJlwhddvp5I/tp\n8gql6IZ3B+2ZXql1wrl8KbrZPjTAeeBeVGo5Sfy8x7mfX1EpRceuz4xwrlKKPrq2NzE9lTOcRWSf\nhu1S9Fn5suRMcBQ/H8enPpb8nCPnGfLr8mXJhncH7ele2W3oKnLuHcIv9BTRwL2EXVfw89beIT9f\nUaq4suqzBNlesJpUXCldO6mCWyFYHVZWVcuA54CNvs9p7Kz3fVaxMwdsxDExDJQly6occ8w97wMX\ngBVElMWpyJclLzx3mMgO4hNxNzMnrpLbkA84nOpewlxPcYns62Qr8odYuz5NlF3Z+ezn17Gr8uUN\nTtUlsnv9zt5UFacqpRgLgcDdMhDRizsPW7Nt6TtbreYdiVKSlOnEv/UnNTpWzMKzcpttchDpLXRG\n+Az5dfkmdrO9Hz/fW+gi50WyW/J9HGZzjtDt+UOYu4ijUK5oNaeInN4h1s+vYjflF0ynlh3kvFTG\nlCtXFMsnBdmtDB3rzM7D1mxLul8rE9xOayba/piUJU/FGIFcIGX4S3hTrZ3PkfMsORXOvX0Efcmk\n0H1JqXfHbM8R9HGelKjKlyVbzSJhti8ppci5XR3kvD1VUeO8nCEa5lyyd8cIbqc9wHkNvxCTCeT8\n3PCX8Is9RTRSLFE1vH0DCcQw+5JKiSpme44w28e5q1aWbDWKRE7vQJOUK8qXqNo1Z2htr8iWK4rl\nkwbZsiCy+gKgubZ0WbIR3EZ7Jtz+qFyWbHhLeH2cq5Ylm97eQT/PnlGakG21Zwn6Oc+ptZzYzQKh\n0+fnhVWlckWn6hBZw34uyfkJi2xF0DF7AVBLoSw5499Gu9TH+SMbhI58WbLhL+EV+jlXK0tOOC/v\nfFbl3GzNEGZ75+2Ec/myZKtRIBz2c4X2A6dqE9l9wWqpqsC5g1MTOz3ckJSoynJuBLfRnu7nfJWO\nIV+WPLq2q5UlG+0hztXKkrFas4TZngDnK5ai2438mLVd7fYDBdwqwWp/cLiGynUoiUKbyo4Q5AAD\naPQ9Vnmf4XdRtzP3UgxciE/EMYKzzJ4BkMvSlC4fwi/0FJdMcBl3Q77kzK7NEzq9v1dsXMHdks/0\n2PUCHbP3pQ/dVbJlheC5YgO9g4hX3MSRDHq/7ZdmyQTw5n/RW8DbpQZOVS5jlAmO4k35A8+acwH5\nNcnAJTg4wFV93yWsBuJN/0KujMT09hBme+W7HeMlshX5TdJqzRBmexULoXMRuyYfANn1PKF9uWfH\nvY7VkP/uZMsWUXeYDECQ38D05BImItpHx+plzQG8QgPDl1OADP82vNIg5+1pH8OXTFB4B/ELvTWn\nY17C9JAtV8Rs7SFwe8mkjnkGp6zAeXN6kPPsRey6wrTuWp6on/PcClZTPujNViw6dh/nhU3MtlwC\nUYQHCbPslFoDeFMNDE/28HmUdskbeNaaDRQ57/l5xzqP1UB6iqrZWiDs4zxyzpAtyx+MrMY0YV8C\nMcxewlHiPEfk9DgPXEXOyxZRH+d+YQuzJcd5JlwiyLNTag0J56YC58Nre2s2lObc8BaHOD+LUxPS\nU1TN9h4Ct5eYD50zZCtqnEd9lQ+hcwm7Lh8A2bUckdMLMkN3VZFzk8juJZMSP5dLbmXCw3jFOD71\ncM9HEz8/ImXH8I/ijfVzuf3c9BYJCj1FtGO9RLYipKtvzPYC4RDnTkW+FH3Uzy8rce7UcwPJpMBd\nxWrJJzqy5cG13S9sSa/tmfAo7VK8U2oN0Fbi/Aje1DDn8n5uegfw8z3OI+tF3C0hXX1jtecH/Dyy\nzypyXhqocEo4lw96k7W9lxAI3DUlzhVxqwSr/crqJokyOTG6SuM8g8qqtB2GFNEUdobfRd3OzHmL\nRFkFuMDsmQYgd8jP3ThA4PYO5nbjPLmNnLRC69RmiOzeIbZjXCK7qbC5VXPEov9Lf52sXOnajiKa\nrfY2t9DdxG7KOY/duIP2TGdn2i1AkK9htuUCINM7jDfVHnjmF9uYnlwAZLb3E/QU0e5l2R3cLbng\n2WrNEeT6EybnyG7JT1C1G0XCPkU0sq9g1+QXTKeaHVjoImcNqyW1YO4oov3qWJjdwmzJ+ZXh39Gv\niAJdzj25TdL0D+EXWwPPvCmPTCBXGm+09xPkdvwzPnUypj3dIRPIlcZbrXnCbP+B5hzZijznVqNI\nZPeUksi+gl2X791xqlkiu8d5aK9hNmU5H1XHwuwmZluS8+AOWr2sOQBBri7NueEdwi8Mcu4XPOlE\nh+ntI8gN+nl7OsYIZTmfI+jjPDLP4yhwnqhjPT/vKHKeKKL9fr6K1ZTsER2jjqlwnvHvoD0dDDwL\ncnUMXy4AMrxDA+oYgFf0MHy5oDfhvN/PI9oleYXWas4OqOAd6zxORX4ieqKO9a/tV7EbKn7uEFkX\ndj6HzhqWrJ+PUcfC7BaWrJ/7d/SrY4Can5v+KOd+0ZfnvD3E+cMBXjEmE0ru5825Ic4vKK3tdqMw\ntLarcm4T2Rd6dpw1BT93sRpJcnYbYXYLsy13hjP820f9PN9QXNsbA8/8oo8RHJGyM8q5h1+ATCD3\n3Rn288i+QFbBz+16gbCP8459VXE/t4fW9jVMOc7T4FYIVod7VjeQDcYgB3TimP7FRcXOcAlwajvi\nYbG9oKjZKV7L0gtWr1O61EI26HXLe4icXvbdal2heB1kFVqnNkVs9BRRw79ATqEBPVuxEdGFnc9x\n5jpWQy6L/9pfn8P04L7f6XfmdcymXL+W2T5Ce0gdC9wKZkuuZNtsD2bNAfx8E7MlVxpjthYI+hRR\ngHYpwGrKbm6D6thb/9k6RoD4tn8s9/Ox67kBdSw2LuDU5EtUnYpFpz/gsK9i1eX6tUR4kNAdVMdC\nZw2rJbdgGsFoBjVwy5htucqHYaUEupx7kpy35wfUMUg4NwI5zs1maSBrHhtrZEJ5hXZYHYusCzgV\nFc7NAXUscq5iN+Q4H6eOhdkbWC25SgPDP4w/pI4FuTKGJ8v5gVHOC03pAMhsLwxkzQG8UkBG8mBk\nNUsD6lhsXsNsyyu0w+pYZF/Eqcqr8u6WOZhMsq8pcD6qjoXZdcy2POfDimiQq0j7uekfGFDHQJXz\n+QF1DMArhRiSh9hhP++Yl7EbyA6UGVHHIvuCEufZsjmgjkX2NayG3PdvnDqWcC63XxnBodG1PVfB\n8OT2c8PbT5Af5Tzjy67tcyN+3p4OpQMgqzk1oI51zIvJHcaSqrxTcweTxtYFnKq8Kp8d9nPnujTn\nSXn9TutUYkeFc/8QfvFmcT64tnuFJoYC5/2tUwDtUqiwtk8NJhDN88mwMEmF1q4PcW5fxK6pcG4Q\nJbNdgIRzu6l2RZACXtZgtU8R7SdWVckcDjJvlp0NVTviYfEAEIqHxauV7eTWp+jdQ7tC6WIobcep\nzNGxBicuF6+q2MmxPaQJoHj9Ik7VllFodxTRmQtn+p5exanJHWgKa3fQmokGFNHIXsWWy+h2B5QM\nKiWRI5/FN9v7B9RrgCBXky5RTRa6GwPPEuVGTq0bUsfiE3FMa6aDXZfL4jvVLJ2+rHnHOIe7ZUhx\nvnzSwN0aVMc61hUcSYV2nDoWZldls/hJBnWY8+wmhizng0oJkHBuSHJuteYIxnAuq9AmKvhOMmlH\noRUdWc4dwr4+oo51HrcstUGK5RMWTnVQHYvsKzg1uQP1OHUstKWVm0QdKw4qJWF2U1qVTzgvDzzz\nFVR5qzk74udesS2t0I7lfKaDEchNXXaqzkDvWGSeJyvNuYPVEHSs3h7Rsa9gS3I+Th1TUGjHqmMq\nCu2QUgIklRiywarVnCPIDnE+1ZZW6+xGgcjZvhavq9BOxxiSlRiJUtK/Jl8gW5ZSbhJ1rDmojkUK\nys04dUxBoR2rjqkotAnnQ36uoNAm6tjawDNfQZVP1LE+zh8O8KbkFVqnMtgjmii0kpwfL2J6SWJs\nG5F9FUcy+Zzxb6ddGuRcQaHtru2jnMsqtGZ7L0FuUChQUWjHce5NedIJCrte6E8adxXaWFqhzVas\ngbNXpODnx47PkImSBPg2EoVW7X56BbzcymoJaMUx/VkR5eBw6JmqnZtTvpvY+eHuv39IyY7V2IPh\nW93fC3Cd0pUOsgpttjJDnOm/y3alq6xK2ik7mK3eQle8fp0kaTh5dmX/E7M4VVj6Ym/TNluXpDM9\nZvPoiCIaG/IKrdk+iD+UTQuz61gtSYXWWxhd6NwKZlsuuzesiEKS0TVbcgejYXUMwJsKMNtyh+Fs\n2SR0egvd239pAxElvb6TIhMcxi/EA+pYZJ3Hqcll8cf1EUXWNWzJjK7pLQ70lAAECmqd2VoY6BGF\nRKGVzehazWkiZwznngrnVwaeeaUAs31Eyk62bA6o4LGxhojkrnnJhEfxi4NKSWRdwJZU5U3/6IhS\nEjlXpbP44zhPFFo5P7eGekQBQreCIe3nJcIhzoN8C8OT67m3ay6RPch5eyqUP9AMc25ew/CTg+mk\nyAS345XinSsbQE2hNfwjeKXBlorQvoZdl1RuvEWCvmmaoLi2t+ZH1LHArSqs7aWBwYIAfr6F4ctx\nngwWHF7b5ZWbRB3rC1bNS5gtOYXWCO4YUccShVZuP0/6BQc5TxRayf3cO4BfGPbzdcyW3FnHbM2P\nqGNhroLpyc3WGOfnfkGB85o7sp+3SyGGf0TKjrtlDMx86FgXsetIKbRGcAetYc6tC9gKfu4Xh/zc\nuY4tzflA61RiJ7uOJcm51ZofGCwI2wqtJOeNKUJnjJ8rre3DnEcy7UFi+aTA3TTo9HNunu/2yk++\nFyfDJIf9/CK25BkuBV7uYHV4uBIkgdmMZD/l8CRguDXKgN8CPAJ8m5Kd4rV9RHa1Tz1coXjVQF4R\nLSKi/gPNOtlyRsaOEGRwN03mXjjb93gTdyNG5u+1+MRttEud+ETcO9CULl0gWzGlOLdah/CnBtWx\nWFyWVuvM1uAEVYDIXMFqyvXiWs1RRTTKbmK25Ti364P9ggBBrorhy6l1dm1QHQPpHtpx6lh8Ik6U\nG6c2eUY3E9xGa2ZQKTH8c2S3MlKcG97BkX7Bji2f6DC8vSNKSeSsYDUkOW+NqmOhuyG9SdpDkxUB\ngrwC50OTFQH8gpRaJ5ZPONj1AXVsR62T6aE1/NtG1LGOdRZXsm/a8A/iDXEe2Qp+7u0lHOI8dFaw\nWnKcm63ZEXUszG5I+7k1qI4BXYXWlzsYJYrouYFn/pQk58fzw+rYjiovo9YZwag6FllnpXvrDP8g\nfn5QEY3sy9h1Sc7be0aqXSJnBVOuV747ZG5QKVHhPBkyN8h5otDK+fnwBFXYVmhlOB9Rx3p901J+\nPkYds+R75ZO1fYhzR55zo72H0B1URENnVdrPraGpuQCB0n6eHwky/VxduvrGqQ6qY9BVaIPJOT/2\n0TlEZ0Ad6/VNSyi0ydo+yHnHPke2KtdPafqLeEMqeOLncqp84uejnMv7+fQI56G7JV2JkUzNHfbz\nOqakn2cr1sjanii0kwsOIprvXrW2Ex/19U1PntA0/NtHhklG1jlZhTYNXu5gdbhflTjGB9qAzBft\nZpYBjwt6FQYjnW0AS8BvAfciInk7+dW9RFb/+6yQv2Ejr4i6WM1LfU/K2DWTjD/5+9jVafI3YOp6\nf8aojFPP4FQm7wFyN0cnqC48f51ErJg8o2a2RhVRI1BQaL1RdaxjyWfxreb0SAY1dG5gNeXUOqeW\nI8wObm6hW8FsyfVZuVuDSgmAn2tiSKh1mfAo3tSgOgaJQmt4k29upn90pKfkrf98ExHDAx+f/Ds4\nTh2LTHnlxmqN9gtG1lXspizno1nzyLkh3Vs3Th0L3LI85+UxnBeaGP7kZUyZ4Hba04PqGHQ5l8ji\nj1NKYmNdWqEdp45F1kWcqqRCOyZrHtnXFfx8VB1TUWjHqWOhW5ZWaBOlZIjzvFyflRGO9o6BvEJr\n+IcGrt0CiI0VaYV2nDrWsS9J+/lYdUyR85G1XYXzMeqYSvXNsDoGCpyPUccg8XMZhTbjHxpRx2Lz\nSqLQSvRNj1PHIuuStEI7Th2LbPmKq0Qduz7wTEWhHaeOSSq0Y9UxAK/QkuJ8nDoGiSovt7aPct4x\nL8srtO0DI33BkXVJWqEd5+eRsyKt0FqNEpEzKBSEjrxC6wxdtQbSCm2X88Hr9aCryksotEbwClrT\n0chzT7KH1vCX8IZapzrmRWmFNgVSBatCiCUhxCkhxHNCiGeFED/efX5SCHFFCPH17j/v28XELL0S\n137IBna7BauyCu3NC3pf9V8s4Hx8It4Emhz+bEfajrs5R3LlzTZWyG65MnaEwMDdsile61fHQiIn\nYPrC5F/6pS8cJs7E8Yl4J/sZn4gjglzInmcnz/RY9cMjX3qoYNdh6vLkm7Y1po9o5tx5smWpfsru\nPaKD2bSOIZ/dS/oLBtWxyFmR7rmxa6NZ8yC7IZPdG6eOJXbyVake2qSPKBx57hXamN7k/ZTD9wvS\n10NreJNn8c32voF7xwAQZ3G3MlIXd5tjFNHIuSw95TjhfDDIDB35HtpsZVQdk+ytE8vH85itwd4x\n6KryEj0349QxSPopM6EE5/7SsFKyo9CKaPIe2qSPaJDzjnVWtp+yq4IPqmMqat04dUxFuRnuHYMu\n597knB87XsLwB3vHQL5Xfpw6BtIKLaa3C+fTcj20ZnsvgTvYUhEpch5kx3GusrYPBhyRQj+lU7FH\nEguyfj5GHQMS5UbKz8eoY7DdTynH+ZA6pjTZejzn5xQ4nxlpo4mcy9K98k49T3gTOE+uYBrkPJDs\nmxbRnmF1LLGTk+Q8GBUKQF6tM/yDw0PmlCZbW+09o0KBfU564u1YzpX8PDfCeeisSk+8TXpEBxML\noVuW6qEV4QEie/B6PehOtpbolU9ap8ZxLjfZevh6PRQV2hRIq6wGwE/GcXwPScnr3xVC3AXEwD+J\n4/i13X/++y6/vwSUxzyXLZkdKQPuKrQt5BTam1cGfOizLr1hRGe48w9z0nbczRKZsP8gspLcidWR\nsTNDfjXCag/1R7lNitcm/9JPXzo6/kCTb1O8Nvkh1mqOTFCNT8Qd/ELEgScknGdM79iBr67gboK7\nMXlGzW6UBq7jATBCeeXGrruEQ9m0jik/CdPdMkEMLnRR9obU0IEkgzqqjoWSE2+TaZrtkedBoSE1\nXMTwD4woopCMhTdbRya2kwyfGvTzT/3iJrGAjjn55m81B+8dg+2x8JKc10Y5jxz5oQPZsjFwvyBs\nKzeTcz6udwy2lZvJN0nDPzSe83wTsz15Ft/09uMPKSWw3Tct4+dzA9fxgJpCm0xWHFREY+OCtJ8n\n6tgQ5/ZVabXOLQ9OVoQu5xKVGJngDlqz4ziXm3Kc2YVzabXOG22pgO3J1pKcu8Ocr2AEcpOtrUaR\naIjzji3PuV0bvIIJutPMJ++bTpSSrcyIOiY72ToT3E5rNhrv5xKcG2Ou3YLtSgxZzsf4ueRk67Gc\nm1ekJ1tbjakRzpNeeTm1zq5l6YxZ263Jq2/6OB9e29cxJVR5I7h95Ko12FZoJ0/wJ0nj9JyPGywI\n8pOtx03NVZlsPXy9HnT7KSUVWqc2qohGzjWZiqux1+uBfCWGEdw2lvNEoZXx8yW8qZvk52M4b0/L\n98orIlWwGsfxShzHT3b/uw6cBrZ/AJMoHdOMD1Zl1cxxPauqdoaVXrUe2oXTU/SunDnL0henZd5F\nCEzczSym1z/RtQ0iwN2U6WuaI78mGCq3JszWcDcnz77btSWC/JhDbK5FdmvyL73V3GWhm/LJr02+\n0A3fQQXEJ2KPyI45/FkJO4084VDpx/SFs7ITb3GqNh1rKFg1LsmodTu9Y8NlwJG1InUnqREcxZsa\nTSzITsIc1zsGELhy99Ca7T2E7hjOi22pKcdWa4bQuTHyvD3dwWxNntG163kia5BzEZ0lW5ZTaJ2q\nPXKg6ZiXZNQ6sXy8mKhjxtABy7kulcU3gqO0p0ZV8FBOlU96x8ZxnqtK9VkZfy7nEpUYo71jfT20\nkpzbg5UPoSN/93DSOzYYuES2lCovjh2fQURJ0D34PnKVGEmp9Rg/dzelpp+a/iLBWM7lFNpxPaKQ\nqHUZKc5HeseU7h5OeseGql0s6SnH3d6xIc4dOeVGRPPEYlQdk63EMIKjeMVxnEv6ub+4i5/LqXWm\ntzDSIwrydw9brWlCZ0AtVlJo7UZupPIhmX6qwLk1WPmQ9MrLcL6PyBpVx6KsnJ9ndvHzQJLzxM8b\nI8+lOW8vjPSIgvzdw0nr1LCfbyu0k7cZJdfrDXLesc5LK7TD1+uB/GRrER4kzA5erwfyCq0RHMEv\njiqiobspl3z2Fgly4zmXUWiTa7e2Rp6r3D2siJvWsyqEOAK8Fni8++hHhRBPCSF+QwixW+Zwt2BV\ntgz4f5idOCYAmiQq8OR2itfn6Smrl5i+MCX5LiWK131EPFSialbIrU+eTTObMzjVDMNBeGRXyFYk\nym4bewlyo8Fq6FbJVic/0FjtOcLsaCbWz7VwKjKBS2Fs4OKVQorXjkxsx25miezBrNyRz6xj1+Hg\nFybPeNtVYyQrl4nk+ikz0VLSIzqUNY8sObXOCA4Q5McsdJJ3khr+wi4L3ZZUds/0pgmzo/4Z5OXu\nKjTbBSJ7NCnlTfkY3pGJ7VhNh449EBzGn/qlMnEGOsbkfy+nZtAxhxMLcgqtER7ahfNrWBKqfCbY\nT1DwRp6H2TVMCeXGCBYI3TGcu2Up5cb0pgmdMYfYfAMjkOV8uNolUesy4ZGJ7VgNh8gaVlbXETHi\ngY9PXqniVEc57xgXpCZbZ4JDeKVRRVSFcz8/hnPnhpxy4y8Q7Mq5jHIzTTSW8yamjHLTLhDZY5JS\nkncP2w2HyBpc21UUWqeaGevnMncPZ8JDeFOdkeeyk62NYD/BOM5llRt/ntCtjzwPcnKcm+1d/LzQ\nlOqtM1v5sX7ulQIy/uScWw2HzjDnCgqtU82MJJ9lJ1tngqWxnCd3D8twvm8XziUVWn9+vJ/nKpjt\nyaLnz4YAACAASURBVAUQo72LnxeaUlOOzVaezhg/TxRaGc7tEc4lFdpEEa0IIjMd50a4hFccVUQj\nSc4z/j78MeKQ7JRjw5/bxc8rGBKc77qfF5rS1yoq4qYEq0KIAvD7wE90FdZ/BdwG3A9cB35l/O/8\na98O3/3Gbo/rO/t+YRO5ktndyon/f7fTVeOmsGv76AWrK7ib0yQK7aQ/8xLF6yGDPasQZzZxtyb/\nOy08v58wG8Un4kHVJTa2cCoypZPjF7rQqWDXJQ6x7RKRM5qhCfJ17IZEFr+VH7o7NoFX8MiWJ8/o\n2nWb2BhY6OITcQdvqsP+r0+0YIrlkwZOTdAxB7P4hZWkn3JShTYTHBi70HUke+sMfy/+mMRCZK9K\nTbw1/DnC7OhCFzqbcgtmu0Rkj8nK5apSCq3VzBHZayPPk4m3k2+Sdt0mGuIKoDUdYTUmyuKL5RMW\nVgM65lAW3zlLVqKHNhMu4hVHFdGkz2pyzjPB+GRS5KxiS0y2Nr1ZwuxoyXZyJ+nknJvtqbF+HuZq\nGFKcu0TWeM7NtkRyq2HRsQY431Hr7Ik5dzBbEJvDKvg5sluT76WZ8AB+YcyBRpJzI9izK+cy08yN\n3Th35aafmt4U4bi1PVeTuv7BbO3CedEjI+Hnfx7nEyq0Yvl4vlv5MPg+iXIzuVqXCQ/gj/Nz+4qU\ncpMJFsYnje01Oc79P8fPpTgvEjmjc0cS5WZyzq2WO9KOA12FVuK+abtuEo3lfGKFNklkxBBnBs+C\nkXkeR4JzIzyAXxhVRDuSnBvBHgJ3tJQzklXl/RlCZ1QoSHrl5TgP7fGcy0y2tlpZImuU80ShleC8\nYRJZA/uwtEIrOtN0DOJTHxsa7Gadx5FQaDPB/l38/Cp2Iz3nobOGeVM435LjfBehIPHzsZwLId7Z\nje1OCiFOTvxn7YLUwaoQwgL+E/Dv4jj+Q4A4jtfiLoBfB940/nf/9nPwB78fx/HJOI4f6/sF2SBz\nGhgtP3p57BQAj0xnCdjO0lwnE+0hUWgn3VCmya90GC7fFZ0NsuXJlZLi1QNjs3KxWMepSfT/tOeI\nnNHNLbK2sOsSpSjtItGYhS7MVrHrEkpvKzv2QBMUmljNyZUbq2EMb25A0lvnbh6ZyEYs9hPkkkub\n+/Gq/7KF4cN9/36y744RLhLkRze3WFyUUusy4QLhuM3NluuhNfxpojELXeTcwJRQaE2vMJ5zt4Lp\nTV7SYraydMZsbkG+KVXSYtcNOkNlwAB+MSATTpboyESL+EWG+4LjRz9WSRTaCXtoM8GBsZx3Mpek\n7iQ1/AWC7DjOr0updYY/vcvmto7VTs95IMn5bgcaWVU+UcHH+/mkZUyZcCm5O3aY80c2EPHkPbSZ\n4AD+mMqHyLqII8N5sIcwO1rKefP8fF1KlTfbhaHp9QlCyX5KuzHez31JP084vzLyvD01eW/dbtUu\nsbGGEUw+5dgI9hPkRjnvWJekemgTPx/PuYxCa3rThPboWSeZfirL+Xg/l6m+sZrOrpzfLD+ftLcu\nEx4cz7l5LVFoJ+ynzAT7x1Y4RdYlqR7ajD++2iWyr8v00HYrH8ZxviGl0JrtAp0xgUvoVqVmYiTV\nLuM4b8lxXt2Ncwk/Dw7hF0dVcNkpx5lgP0Fu9Lwd2XJTjpPKh3F+fl3q1gJzN86zG1KVGLsGq251\nNz+P4/ixbmx3Mo7jkxP/Wbsg7TRgAfwG8I04jv9Z3/P++vfvBp7ZxcRuSmYFubLbW8nOto09wLYj\nrgD7pe0U1mBYWc2Ea2TLkw8Qcjf3ErijmVhYw6nJXBUzPkMT2RvYtckzPWYrT2SOlvuE2YpU0Gs1\nbOLM9ZHnQa6B3Zgo6BUCQbaSgfjSyC/6eX9i1c9sHRyniMYn4hiv2GHq6mRqQCbYO7b0w2xfwa5N\n7quGN77Eq2OsYDUnHy1vtktjSz8iewOrLTH0opUbW9YXORUMb3L/tBv2SFkfQJBtYEx2DZNYPimS\nu2ONyyO/GOR8jGAyNSATHhyrjgF4Ux3M9uScj1fHLuPIcB7MEbrjkklynCcq+BjOrQ1MCc7NVn5s\nMkma87o1NrEQZpsYgQTnNTFSygkJ55lwMj/PhIt4U7tzngkn49zYhfOOeRW7JqHc+LPj/dxalffz\nMZUPkS3L+Xg/DyU5TxTR8ZxngokSHWL5pIFdh44xeogN8j6ZYELOx1e7xKdOxnhT8cQTsjPB+GqX\njnkVuy7L+aifd6w1rJaEn3vjKx8iexOjLXMuGF/tEjkVTKm13Rpb7RK6TQx/Qs5PWFjN0enYAEE+\nwJiU83ARvzCijsWnTsb4RTnOd/NzqbV9FxU8stbk/HwXzjuSfm7tUvkQOhUMX9bPd+F8Uj8/4WC2\nR2c+QMJ5JpysFzcTHhhX4RSfOhnhF5PvxCTYrdqlY17FkfXzMZx3JDk3vOLYapfIkvXz8ZxHThXD\nk7uqTxFpldW3AX8dWO67pub9wC8KIZ4WQjwFPAj85C6/f7deU9kgczdFdGI7QuAAJskE4TTvMw2d\nCrBATxW9DuyTtuNuGgwPjspEN3A3EYLJysWc6vjseyZawa5Nnn03WyUia8xCZ97Algh6rVaOzrgv\nvV3GbE8e9Np1i86YTSl0GhgTlje84xMlRAfe/suj350g18aYsHcnEx0gGN3cAPAL0cRKr+GP39zc\nzRtYTcS9vzcZ50npx7iF7hpWY/KSFtMrji3fjewbmK3JyxXNlju2ZDuytzC9yUvX7Lo5nnO3juFP\nliUU0Twda3QAAiTDwowJS9cyweLYEi8AvxBieDKb2+iaExtrUll805sZW/nQMa9jS3M+qpR0rBuY\nrcnLmHarfIjsMqYn4+e7cJ6tYfiT+bmI9iVDLx4ezXgHuTZGMKGfB4v4+V38PB+RCSbnfFzlQ2yu\nYDWZ+N46w9slgWhex2pMrtbtxnlkrUtxbjfHK6JqnI85xGYl/Dw88P+x9+Zhl2Vlefdv77323ue8\nc81TV9NA09INKI0EAVHpZlaZZVJAEZAgMokDoHRVNagoEI2oiUk+jUMSPzAxMd/nLI0MmlyaqAiI\nqAhd8/wOZ9rjyh/rnOqi372e9RyqDf3l+vZ11XV117t79am6z7P2Xs99P/c9Vbt0GdNMiJWY+9Qu\n4Oo8rrV7ezfmbXLKMTdHdS+ySbGjkwVv0zkx9yicmvQC6WSOOvdgXmcbJPNgvmU8DYohSaWr87g5\nRLm0Te0CzIe5T+0CUCw1+oOLR+3iGhSRelTEeKScbm/Xs3Vm3K12adILmIn+XTAddatdmmy+BoWP\nBa97A2Jd85m4PkyxvJ0Fh3n3dj/m5TyYe9QurTlOtqXH3Kt2Sc+QjubBfLlT7dJkF0jnwNyndqnz\nDcwcDYpruK7VDfhj1trYWvvIq2Jqftta+3Jr7Vdaa7/KWvsca+32P6S7fIfMde4bRnSedVaBdWvZ\n/qWfd518c/Ylm70QnwX2QzvfOq7Lfu/DwiUWzxXqdbLBrs4OTTo4NVfgdjpepu2Q+0ScIxvNsdEN\nc2y8/fvQmkuYOTo9+VZCUm6XeDXZJmai6/SYyXVMVq09YrdjXvdGaklLUnYbnYDr4icTXXcvqXZR\n97YdouwHPthSLlnW/kHH3BiP0UnUnCDf1Hf33MNt+yHTMbT6w2qX0QnMz9Y5o5PtLHiTbai7e07i\ntV3uA3N1dKddcw/mC3rmxs0Fb8f8rqN2mmGmfEgW3Sw40Ym52LrUY3TSZPMxtOlgu+mFW+fC/Jin\n2zF3XXwt5n5GtOqPiHXMjWNEhTpXM7Tlrq75f9fFX7LEjR7zrjpv0xNzsXVmvNBpdNKmZ0jnaEql\nIx/mF7Vd/HuUDx3yXcfKz4F5x/w/QL0wIql0e7tP7QJQLlUkSuYmqTpZcHvXsYpyyR2uNZcpPWoX\nc4JsMEdTatLNgrfpfHt76lG7NPlFTDEn5h1ql3ouzDsVTsC0EXkfYF4tVcTVHM/z7Sy4vetYQdV3\nTTTVOsVKp9pl7jqfLHgaiGfnq3OP8qHJL5LMg7lH7VLnm5h59nYB81iJuU/tAq7O9U0pX52PaTLX\nLNdcpljpVLu0c9Z5Oul3q9rSs3MRDl7Ms4tzvbdfw3WfuQF/iZfErKq+rFFEgpsT3X4gm2Md/Afn\n+ddZOTEBzs8OQfaIHQANCxeH6nWiZo1skLH97+cSi+dK9TrpaAdNur1D0798mt56Ov3706yz1MmO\nxfV8kjOffNcm6i999LAPpGQD2PupruJZV0vOXLh1N1NS66WljhHte15i+4VaWpoU3Y0FgHK5IR3q\n5EdJsULd8XDrXz5FvhVFD/uAru7NpJsRteYM2Rxd/HTYzYI32XltRzd62lsWiKvtcR9unXV1R9fJ\ndz2Y5/qObuKR9QFUC4X64OIOq92YF8sNUattUKx0suB1foJ8jo6uT+4zbxc/G6bdBxd9Fz+67Y5l\nona70QlMu/jKGdqkus7LiDq2bo7Dagc7BlAuFmqZoSl3drLgMJUTKw1lfJi35jj5ph5zn6yvSc/M\nh/nA0HTW+QXSsa6hGbVrEG2P+4BpF195cEmqTimnW2fOvb3uHKNxe3usNJRJip2dahdwzE2ilJY6\nRrQb897GHJiPuvf2Nj1DOgfmuUf50KYXMGNdU0pSuzRzYB5XfhbcYa6t824WHNzerq5zj9oF3PNc\nXeceFrw1J6ZJD7rLMaJde/sZ0qH+HS7f6sa8SS+SqjH3q13makoFMdceVrsNjWCGubJB4VG7AJTL\nrdoT477EvIsRbdOzZHNg7lO7/P+H1bnkssvAlrV0sSVfyqxp1zXfOmtfKLj3rCmcYcfnSvU6/Yu7\nsUlrj9h7F/NFFs836nXS4Rptuv3PldSXWLjQADqpTjrqY6PtX/p0OO/DrZsRbePzpCOd/Gjn5w5S\nLlj7ix/usgi/jJnopKU+AwRwWnxtdy+pdncaIABUCyN1FEBSrnZKPwDKxQpT6jZMT9yH/Y1fKqh7\nsPYF3cM264j7AGjjk3N19xw7tr2D2qbnSIe67l5ruo1OYL45q6Ta32luA1DnW3rMy92dch9wHV2j\nfEiaYrXT6ASmc1aFknGZLHYZINi7jjnMtV38dLwt1geA1pyaq4ufDRKajq65m7PSYR7Xh5msCpjr\nuvjE1X6hzvWYx0Kd1/05uvg+FpzZnNU8mG+v87uOjWlTfRc/HXnq3Jyaq86zrcRT5+fVzI2kfHBj\nA0rM6+64D3B1rpUTJ1UnCw5A1R+rZYY+FhymcmLly7DDfNsh09515xY2nh72FZfDvKOZZE7NNTaQ\nbXnULuk5UqWEPIR5ohwVcYxoN+bNPJh7XPDByYnnwdxX5+ViTaKt8/FCp9rFxutErd7ky5lYbce8\nTU/PWefdapcmPadm6yS1yzzjQZLapc71YwNxAPN59naxztWYd8f62OQCcaUfD+qK9QG3tyvHBkS1\ny7zjQddw3V8Pq/PIZSVG9L5aZ75Z09W7G+7t4gsXWTleqddZOruXOu96Gb7EwjmrXicdLWOT7Z1Y\n2KC33qrXyYY5dBxWV06cIhsYTTxLFBGRb8Qsndn+pY/bM+pOTzo63OncBq6YteY/7uDiebhlGyRa\n5qbc3SXlBKbdvULXxTfFaucwPEzNf5TzlE7Wt/3hBo6tyzd1bF06zGjN9pdYGzvmRoO5MzqJOo1O\n2uQMmXb+wh7yGhrNM38RV/s9hmPQ9NbnwLw7vwwc5mqGtlil6cighamEXMnKm9ECTQdTAlAst2o5\ncTZIaUzXC83d2o5udNsRp3zoMjpp09NqJUYisOBNdgGjZOviar9X4lXncygxil3UuR9zLVtnhBea\naqEgVmLuYn08mM9h+JQOulnw1tytNXaLbjuSk467jU6aOTCPK79xmVNiKPf20mcsCM2cmDc+zPtq\nk6+prE/AXKnE8DGiMB/mPs+HNj2uHRuIbjvSn8b6dKhd5mBoJbXLPGMDSeVnweeqc+HgUveHWpMv\nr/IB5jP58igf5jb5cnPBXQ2K49pGZHTbHcvETbfapZ1jVERSu8xj7ObULn7MtYorU/qVD5Xe5EvG\nfKFUs/IS5vOYfLnneXeda02+JLXLvAaO13B9uQ+r1lq6vmjzyG5DjOh9sc76XOusfd6y/bB6idXj\ntXqdhQu7adKuA9AlFi7F6nWy4RI27nq4bdDbQL/OICUpth84ls5dpLdugfCL403/dZWkhIf8zvYv\nfVKeURtEJEV3fhlAm1wgVc7QJuUe6g4DBHCRPFrDp6Rco+51NzqaTG8EYybLnTEAMGNudB3dbNTr\nZEoAqsV6joOL6WRKnvCeDaLWGVSFLjM5QLXYbXTSpifVhk9JeZByqZsda9NzGCUrn1S7qRe6GdEm\nvaTv6JbdlvAwdchTmoL44j4Aqt6YuNZhno57nYwoTGdulHOQDvPtzaRZF//rfixcE3FzsCvWB5iv\ni++UD911Pg9zk1S7qTpiAGDWxdfVuSlXvXXuDJ+UB5duFhyYmYIoD6tjf527Lr7u4JIPks7ZMZtc\nICl1XXw3O9bNgs/RxSeuDwh1ru/iS2qXeg7DpySEubYR2a12AaaYKxuRqbC3l0sNcaXEfKtb7WKT\nM6RjXVRHXPvVLvMYPklqlyY9r6/zsjsLHlyDQn1wERjR+TCX61x9WB11q10AiuWaZI4671K7WDM1\n+VIYu4lqF3NaPR4kql3S83M0Iv11Pl9Tyt80bnqDOff27jov58F8mHnrvFi+9jpvk5NTw6dwk0JS\nPrTmzHRc8R/9+nIfVu8bJvP+ts7KiZjtMuBLrJzUM6L5xi7ajllTuERvPVGvk44WwG6fU4CNKVOi\nZFY3ExYubv/Sw7r60Lvj7w9TLredhkb9i3rJWVJ2Z1kB2Eg/Q+uyrLo7qE16kVQrLZ2sUUsHF6Vb\nmhkv0uSeF5r+UJ1V6IxOuk3NyoVSE9wdHYu80g8XybNiVcHdlusoPEyJjU+SK81/4ma/F/PGnCWb\nB3MPC95kl9QdXVOs+V9ocv08ZSpgXi/oZ26yYUbTwYLDlKEtgjJDJ/fZ6DQ6udLFT0dhzOP6sJcd\nmyeqQ2JE57Hwd5h76nwOzJNijcYj2a7ncMJ0sT6eOu/pu/jZIKP1NaV0XfyrJF7bGpFzdfFdBq0f\nc22dJ6WgfEjPkSnHBqQ6b+eYszJFd5QTzLe3p4LaxcUwKSXbw7RT7QIubk0R1eHULludaheH+ZLO\n2E1iwefBXFK7tHOMDUiMaJPOU+d+zJ35j7LOBbVL1RurMc8GWafaBaZjA2EJuYv1GXaqXabGbq7J\nGLoktUtrTpFtaRuRob1dibng8+FGwq69zut8U23mJ6ld6v4cmHs8H2A6HqSp8yN9TLfaxd51rKJa\ngEih6BDrPD1JNtSPB13D9eU+rPqYzDEQK+NZVrlvZMD33czq8umELhnw8kn94TDfWsUmXX+uS+Sb\nmXqdbJATV10HlwFJkWBGQU1/FJHT24jY8+muh+Qm2SAiVmzgvU2/lHPfX52eSkvDnbmk2uPd6OLm\ntFp+5It4AWiNPrbBFMu0HcPwAHV+GTNWzgWPe7Sm+5A5T2xDNjDU+XYWHGZd/DBb97HvX/VKPwCK\npZqkDL/QmPIg5fb8MgDq3mnSIdFj/3kYr6Tszi+DWSTPHHEf3ofbObURjGNKuuU+rouvZOvGPVrT\n1Uyab+YmGxiafLvcB/SxDVGz02t0Ao6tM4pInrg64Fc+mBPqLr6rc5/y4aS6i++UDx7M03PqLr4v\nGB1mXXx9nfu65k1voGbls0HSKeWEWRdfg/le6tzNuXZdxbIutiGuD3hlfS4/VhfPEld7vOY28zC0\nSbnmNTpx0VtazJepfZjPYewmMaLzjA341C4wM4JRYF7v98b6ABQrOsyT2q98aM1xtbGbY8F9dT4f\n5j7Ph/kw7454cevoM4MltYtj6+ao8w61C0xNvhSYS7E+MDV8UjUoApgrjd2SandnrA/MMNe9wzl3\nbA/mqdrAccqI+t7h5qhzYW+fZ1Qk2+pWu4B+VMTNBXez4DDv3u5Ruxj1eNC1XvfLw+o0PkZ7QLwv\nZcAbANGxqB8di/5DdCz6mi9pncVzPbpkwEtnEvU6+eYKNuoqng3MOFOvkw0yepvbO6hHbEvdq1j7\nfLizsv8vdpGOoX95uyX3EVvTZC17Pxk2iHDy3e4vfTp2suRsK4x5Uuzxds3NRN/pMYVfvmuTc2pT\nEDNepM67X2ja9JLaFCQd5jRZ92HVdfGVB5etBBt1P9xcyHr44WbNYa/0A/Qh61HjZcGvRHX0Lyle\njCo/UzIPQ2uKNW8H1cmJdWydi/XpZkqaVG/+kw1z6qy7gzoP5vlmjI09D7f+mKQOM7RxfT2FZxYc\npnJihRFMXIUwV3bxJXZsji6+mciYa7v4LtbHd3DRG7u5WB9PUyrfJCn0mHeZ28Csi694ia01da7B\n6oDP6MRFdSi7+JKUc54uvmR00qTnyJSYm4mfEXWsvNbcRsbchOtcNDqB6aiIQk7ssim7Dy3gzH+0\nBxdPxIu969iYOnfNkNAlKZzmMfmS1C7zjA34Yn1gTswFtYsz+QoeVsVYH5iZfGkwv86rfABn4KjJ\niRYYUXvXnVu0xjU9Q5fD3EMUpHqTryTwPNeadppxd6wPzLm3D1Ov2qXOt0gKJeZbnWoXYGbypTus\nSphXSzoJeVL6Mf/QnRtgiW6/4x89a/V+eVidXtrDqiTf3QIWlfEsV5s9PRt4MfD2qz6nXgbcW8+B\nez/gLrJwPlWvkw2WidquF6MxURuTDjWMaEy+mbByvLv7XvcmLJ0Nf+n3/eV1FB75LriNbuVE+CXW\nTLwRL/aInWAjy+6/VjzcKr/cZ/ffnCTfjKNI8d2W5D6gZ2jTyYKXHWuNPrbBF/EC0KTrJOEZWmd0\nMnLxMl2X6+5pHiZ+FhymMzeKF6Ok9OeXgbNz1zC0SbHTy47F9Rwd3WLFa2LVJqfVhk8u1seD+Rwz\nN+kwxSYezLN1jZz4KqMTz8O2N1DNWcX1Qa/EC/RdfBcDIGCuDFlPyp1eQ6N5uvim6I77gPmiOlys\nj6eZNEcX30m8ul9ElF18F+vTgE08bICyix9XB72MKMzRxReiH0DP3CSlP+5jntgGM/EbnbTmDKmy\nzp2sz4O5PnprGuvTfcjUztZJRicwVd8oDJ+S+iCVVOfKeJak2uM1NIJZVIfiZbiQFE4n1EYwktql\nTc/qn+eCidU8hk/5wPjrvKdj66RYH3CGT7o6P0TpYURhZvikeJ5Xe+S9XYt5uSbU+ck5Mfew4Kl+\nJMwX3wWzsQEl5lvG20xqeuuqsYF7Yn2699O6P1RlgwcxX9BhLqldgKnJl26G9hqu+/NhVXtA9DKr\n1tIAA1y8jWad2UPgNuBHga+PjkUx88qAXRzHvTfNS/TWe+p1suECSbXdDeyItbTpiIXzGu37Cv3L\nlnzgKeZ8TG89zLj0Lx3yyvoA6n5B/7Li4Vbs9RqdgHuJ3fV34fmoZOJnRPf89WXyDehdCjNbjh3r\nZkri+hTZQCc/khjR1pxTy4nzrYQ6973QXCJVdPdcN8165T61kq2LmoNe6QdMO7oKhtYxogLmizrz\nH0HiZX/3fSOaDNok/F2WDI3mYescI+phSjI9c5NvxdQ9D1OS61h5yejEraOLbUiqg17TC5ixdZoG\nxR65zpVdfIEpcVEdibKLL8l30xPqLn46zoUGhZ65cfLd7pdYbVRHXB+m8BidANQ9XZ0n1UGqpe5Z\ncHAxTBqG1h1cul+owUnINV18iR2z8bq6iy8ZnTTpSVIlW+fiPoQGhVJ942R9HsxzXVSHZHQC+lER\nx4jKmGuiOlyd+zEvlmpVnSfFmpcFvxLVcUf4sOAOLt2HzHaOsQFfrA/MDJ+0mMf+g0u2rqzz60S1\nS62UE8dCxAvoY5gkFhyc4ZPm4GImQp0nZzATnbGbGfvr3GGurHNPxAvMRkWUe3sAc814kDOrkzDX\nmXa6WB//89yNimie5361C8zM/HQGjtdwfbkPqz5GdPYzjdRVYlbnXWdWPA8Dfg8YAodna2iiOoC1\nabf13oV4kXywoPksUUREttUjHfoekgP6lzWH1VWcwZlncDwbkm+G18kGfodGcAxtvhne6Ey5S3yh\nqRYreopDr/EbndgjtqLJLTd8JFw86dgv9+ld1nd001FG6zFAaGNV+PIV6Qce+W6T6rp7SXmdN78M\n9CHrjhH1P9zq3lDXxS/8ES8A1WJBUigwn/hjfcDFs5hJOHDbjBdocl/XXG/nng4zbOLBXNfRvWJ0\nMt7pO7joMI8rv4kVuC6+xiAirvaKmFfKLn5S7aTxKB8AqiVlF79Y8b7EgovqiGy4uZWO/UYn83Tx\ns0FK42FKXBc/yNxcifXxvdBou/iS0Qm4Oldj3q12AZz5jyaqw83/C5gru/jGj/lVUR3hl+Ew5jo5\ncTpIadJu5UObntUYPgXVLk16CTNWNKUEoxOYmXwp9nYF5hpjt6Tc6Y31gamxm0L6LcT63IN5E65z\nM/Yzoq05oY3k8cb6wGxv12DexxSC2iW9iBnrDqs+zweYjYpoMPdHvMAshklzWPWrXWBm+KTB3Kt2\ncZgv60y+REbUnCTfnANz72FVifks1sejdmkyXZ0n1XUyOaQbG5hi7mdE3UiYps79aheYYa7Lj72G\n68t9WL0vZMDSzOq862xEx6IIuAX4NPBZ4CZrKYAa0HRXVkmqpY7PNPuiaj5Ln/5lSzrpZgNsvEW+\nEd6gFs7vwkwinBx6+9WmA7KwnJh0vM9rdAJQ5yPSoe7gIn7p+wXZQPFCIzAlAMVSw9JpzUbX8250\nu/7uHPkm0erxcBc13zI0HkMjIl08i5nsE6UfrdHFNkStLOtrssskGoa22kstsGNag4ik2uE1QIDZ\n/IWCES38sT4w7e4p5imzkd/EatbF/9qfCEv7smHiZURtfFJlChLV+6kWsf/tjT7zgvOqmZukPkAl\nPNycnDiMuXuJ9WOu7eI7Eyt/A9FhrmhuTZbFOi+XGhKF4VM69kc/2OQMZqzr4mcDI7zEnlQpdbcz\ndgAAIABJREFUMeLmoGh00ijnrCQTK5hhHu7ihzHXRXWYEObKLn5ob9d28R075sHcnCId6Uy+cokF\nN7o6D6ldmkzH3EhGJ+AYWo3JV1LKLLi+zv0KJ5gZu2kx72bHYBbJE34ZzoZ+c5s2OemM3RQmX764\nD9Cb+YXULk12nnSi2Nur/VQLAlGgjN5y7JhU57rxIEn5APp5ymCdK8cGpFgfZ+ymGxXJPLE+4EZF\nMoWEPIh5ek41NiDF+sCMlVcwtEKsD+jHBoKYK/f2a7z+TzisaphV7TrrwF7A2iP2PNPD6tzrRM0K\nXYfVpFpRr9G/WLNdSjy9og1yhRHRnk8dpFysvbOmrdkgHSokVeM98sElG5COFV/6iT+/DJzM0Iw1\nL7HyRlctVeSb4e5eOsx93TT7M5+uqHN4wEcUB6CtGBt1b3RJoevi20iWeLXJ2am8XL6SYr8o92mV\nFv6m3CVKP5wRTLhhYoRYH3DdPY3kzDGi/heaarEkURxWBaOTK1Ed+SDcxc83YvBgbhMd5nF9WGRE\nm+yMyvxHMDRy66S6qA4X/eDHXNvFN8UqtSfiBaZsncLwyUwWvJJtmEZ1KLr46SD3GZ1cFc8ivhjd\nE+vje6ExJ1XMjRTxAtMuvkJm6OI+BMyVkTxJKbPg2qgON/8vHFx6Y1UX3xmdSHWu6+I7WZ8P85nJ\nlwLzTQHz9JQqhsm9xPoxb5WYC0YnwAxzBUN7H9a53/NhOjagGBUxQqwPzKI6FAcXf6zPVVEd4ndH\nivUBZtFb4eZzXF0nmlgpGVriaj9lEHNFI7LcFaxzFUMbULtojd2MoHyAqcmXQkKeDVNfrI8z+eq5\nGVDhuqJ26Yj1AWYmX+E6T+rrKCQWPNWZdkqxPqCvcynWB6DJt5R1LmOuJRyu8bo/H1aveWb1S1hn\nA7ge+ML09/4WeMj0n4OH1SgiJSlyIMNJiK++LoLdAfSiiNBmt0r/YoP3z2Uvkw3CG9TyqUNih8bG\nl0mH4Q6NKXaL0o823SQdK7/00sMtH5FOwofedOw3twFnEGHG4ZdYKcsKXEd36bQoOQtKP/Z++iT5\nZhQ98MPyZpeU8jC8TU6TjTQdXVn60aTnSDXdvXKnyIK7DVPR0RVifWAWzxLu6KbjvpcRhakpiMLw\nKRWMTmDK1k3kl9jb75BjfdKhLqojqf2xPjA1glF08aWIF9DHNjgTKz8Lru3im8kyTS5g3h9gFGxd\nOurTeuaCYRrDpOjoZkO/0QnoojqiZietcbOyXZeTloa7+G5e0F/nzvDpPsBcGcmTlDLmrouvmRGV\nWfC6v6Xq4jtZXzdTAvouvmPBhTpfboJy4lCsT5voTL6kWB+AxuhMvkJGJ64pFcbclDILro3qkGJ9\nwNW5JoYpE2J9AMrFOTD3MKKgi+qYqV18sT7O5CuMuRTrA7PDqiKyTYj1AWizCyrMXXyXH3OtyVeo\nzqu+LoYpHfljfWA6HqTBfMt4Y33AjYqEMI+bg5TLfrVLa+4mU4yKSLE+oDf5kmJ9QD8eJMX6wDx1\nLpNDdX+gjuS5huv+fFj9cs2sHgJmLzYnpv+uXWeV3vomEesdbOYmEYvE1Rbhw/Ma/Uvg+/uJ60tk\ng3BnpbcuO7HCJVLF3IQZ7ZBfaFJdlqhkaATOCMZMFAeXYY9G2uh6Y1IFQytlWYHr6KZjuYsf14eZ\n+I1O7L/+bxNsDGv/IG+8IYmXjXUdXVPuFllwbVSHFOsDUzt3hfmPFOsDzgjGKKI6HAsuHFx6OoY2\nF4xOYBrPEohVievrJRbc/tb7S6oFsJHM9IYYUa1BRFLuEU2s2vSsyvApKVdpBBZc28U3k0WREdV2\n8SUpJ+i7+C7iRTi4KLr4IczvieqQm2TuhUbA3JwiV5h8SbE+oI/qMMWqqHyYC3Nhb9d28R0jKtS5\nsosfxjxs8hWI9bF33TmcRnXIM71CrA/gGNpcsbeHjE60UR0hFlwb1SHF+sAsqkOxtwuxPgB1GPNg\nrA9Mozo0mPvVLlcalFErf5eFWB8AGmUkT8jQqEl1oyKmWBPVLg5zTSNSVrs0SjM/KdYHnOFTwHk+\nGOsDbm9PKrkpFdeHxVlwm1wirh0xIa4TYETb9LRqVESK9QE95lKsD8yBeUDt4giH/+MPq/eFfPea\nZ1anMScrwCZffFg9DcxeODUM7SoLF4Zdn8cesS2wRe/ypmqd3kaETwZsigukw37Q8CkbyPNIcXOB\nbKDoxAa+9Da5rDr0puNFkRFts02MgqHNhilt7GdEm94IU4gvEE7uM4SNw8LBZbHATOSXTxfx4u+a\ngzP/WTwnPySTch+1sNHlm66jG8I8KXd5YwAA2kTXxXcsuN/QqEkvYMbh7p4U6wOzkPXwhpkO/UYn\noIrqcEYnY7/RCeiiOuJKjvUBx9yYsfyQTKq94sMtqo+TbyjieEp/rA/ou/hmskotYK7t4jtZn//l\n02Ee3tud0Ym/PutesIsfjPWBWVRHqJkkx/qArosfivXRdvFVmGvqfLLijX4AfRdfingBqPMNVRff\nGZ3ImAfrPKB2AV1URyjWB2aYB16GA7E+rTmuxFw2Ommy06qoDjNZEZUPWjO/EObO5EuDuax2qXuj\nYFRHKNYHpiZfAcOnkNoFoFgNYx6K9XGYK6SlQqwPuAOQDvMlGfM56lza2+t8QzU2IMX6wNTkK6DE\nCMX6wKzOww1EYf7/KmM3eTwoFOvTmuM6ObEQ6wNT9c1Yibm4t18iUciJQ2oXbZ1f4/XlPqzeF/Ld\nELOqWWcJGFlLDRzknsPqKe45rGoOz2ssnO88rF5ZY+HiULWO6657mNXmMv3LNSBvLtlwl+jWZyY6\nli0dL4tfetAdXMy4R5v45xQac1mTKzmV+wgbXT4IdnTj+jrKReyfvcb/YKr7E0whMzdxc1CU9YFj\n69JRiK2T4z5u/bfrJCU88hfkg50zvfCz4DbWRXWYyZIo8XJzVuHunhTrA1PmRnFYDTGiTS/c0Y3r\nQ5RLfqMTcB1dE5izims51gdmUR0y5iFG9Anv2QDCUR1JIc8FN+aEKqrDTBZpJXYsPasygnGMqNCg\nyC+pojryrThwWNVgfnhqbtM9tw+zqA4Z81CsD8wY2jDmUp1ru/imWBNZcG1URxJ6oVHOU0qxPqAf\nG5BifWCGufwSGzI6AV1URyjWB2aGTwHMA7E+NjmHKcImXyGjk9acVu7tMgveZvo6FxnRTPk8D+zt\ndW8LE8Rc9nwAF9URwjykdgEoF5sgKx+K9bHmzNTkSz50SLE+AI05rRobkCLbQB/PElK7NLkWc1n5\noKtzOdYHZmMD9wHmy4o6D7DgbXJKZfIlxfrAtEGhwVyI9YHZSJjmHS6gfMh140HXeF3TYTWKosNR\nFN0VRdGnoij6ZBRFb5j+/s4oin4/iqLPRlH0e1EU+diy+0IGrGFWw/Lde9a4N7N6cOoQrFtn6dxE\n+DwbLFwYB9eJqzXSkcF/CN9g4WIZXCcd76TO/AeXfFMVq+JeYo3/S4/VyRKyYU6b+Nkxay6HBsej\nCGd0ErV+6YeLZ1EcXAQDBJh29yay5CzEiMLUIKKUJaFuGN670dkj1nX3Fs8FunsB04u40RnBmPEC\nrSD9aI2OrZNifUAVsn4l1keSbNeKSJ64PiQancDM8Ckg6wswouC6+FGgix+XYqzPFcwJxLOYYlV8\noWnNSXJFR9c93PzNJBfVEd4vskHmdc2FaRdftvC/x+hEeonVYq6p84C0NK72ikYnMDP5Ch1cdkoS\nL30Xv1gRo5y0hk8u4kVQuyjHBqRYH1B18YOxPqDr4sf1QdHoBHSxDbGmzherMOblDokFvyqqI1Tn\nKzQBzDVRHSHMGyXmUqwPqGKYgrE+4Oo8JCEPxfqADnPV3r5YKQ4uovLBmXwtE1RimFCdp6dUZn5m\nLDOibarLBg+pXZpUU+dyrA9MTb6Ce7sc6wO6SB4N5uViFZSQBzE/VlEtEmTlTSF7Pjh/hHBTKh33\nRaJgnr1dIoe0YwPXeF0rs1oBb7bWPgx4LPC6KIpuBt4K/L619ibgD6f/3nX5Xz518t0eEFmL9EXT\nMaL3HAyvHFbtETsESu4xXwqvs3i2xOviyzpLZyfBdVZO7qPOK3vE+jbfjalbsLyOGa3SCnMK+cZ5\n8s04ipAPHWbcxyb+g0tSniPVvMRuGaxwWG2TC6QBU5DHvdfJfX7vPdIM7UZwhjauZEMjcAytCZj/\nxPVe0egE3JyVmciSs6QSX2gAF7idjkMPN3mjWzp9hmxAdOsvynilo8BGZ3TzF/mWP+4DnJw41Ogw\nk32i0QnMArcDMyX1oaCsTxO4HZf7RNMLcB1dEzB8MqUc6wOOuTGTwMNtIisfrDlDOgxHdaTjACOq\n7OJnw0R+uKUXgl38qN5PtYC965jkeBsOWXeMaKDOe4MgQ5tUe8OY98Nd/KTYQRPEvAm+DDvMhZdY\nZRc/xIhqu/hSrA9M6zzQxQ/F+sAsSzSE+SEF5sOg+U9S7RWNTkCHuSkUda4w/wnJ+rRRHY4RFTA3\np1VRHVKsD0zrPDA2EIr1Ad2oSMjzAVydh8x/QmoXmBm7hep8TVnnCswFRlRr8uVifaQGxRlV8zmk\ndmmyC0EDR43yQSMnDsX6gC6SJyn3UAUxLxR1Ls8Fg4tV1GEu1bnO5CukfHBmfmHMQ2qXVjkSdo3X\nNR1WrbVnrLV/Mf3nAfDXuMPes4Bfmt72S8Bzuv97pGLWzYjKrOqXss4BnPx3dp3GSYN16yydqYXP\ntDE9zMrrLJ7dS5NLxbNB/1ITXCcdr9Am/heauN2gd1mxzqiHjf2dz9667uGWDRKyob9rrmFoe+uH\ng9KP1oRNQeJqn2h6AVOzgEB3LylkoxOYhazLbJ2ZyHPBANVChSlkti4dL0rD8PYDH2ypFi1LZ+SX\nYceI+jG3kW7+wsl97vavY85gAjM3oVgfmDG08vxFUsmxPgB1FjZ8Sio51gd0c1ZJgBEFh3lozspM\nFiRGdNrFt6GoDqd8ENyx2/SECvN8Q8bczdzIHd24PhxkRJvsYnDmJq72iUYnMGXrQnUus+AA1Ath\nhtYZGsmYl0slSS0rMZzRiYD5sYpyKRjV4WJ9BHasMSdCRjDBWB+YYh7o4odifQCa/KJibw8zJbUK\nc5EFB5yEPIR5SO0CM8OnAOYyI+pMvvphk690mMmMaLjOg7E+AE0WlpCHYn1ghnlgbw/E+sAshinA\n1inq3I0NKOpcaCbB1Mwv1JQaB/b2O4c0Wdjky8X6CJir6jysdnGjIgHMA7E+MJuhDe3tcqwPzMz8\nQs9zRZ1rxgYCygeYyok1dZ756/xDd25g47DJl4v1kbAKjoTp1C7KUZFrvMJUsvKKougG4FbgvwP7\nrLWzE/1Z4EsJjNXIbkPzql/KOruBq1/2ZyZLG9yTuepfZ/Fci3xYXQh+nv7FPdS59DK8QW999rn9\nVzpewsb+rhxs0L/cTtfxy/+yQQbW/xK7cuI0TZZEEbG1dB4qoof8Vsa3bsK+v7xnnShKgHz6q/e0\nJz6mvntX0SOKvmr2e8Csq98C9t0P+JrH/PZO0xBFXzf7dNP7Zuvk733ITQdPL0V7mcrSr/rvr/x6\n3wO/8ul/uzGIiKJXTH9v1qWKZr/e9ohblsvoxEGi6NVX//7V9x576MMfNcnqPlH0+q41gOgdX/Wg\nfMfW+tcSRd/XtQYQvethD37g6sj0iKK3df31Adzx1QeiW07+xkuIfvzQvX82u4486uCOW06dejhR\n9ENdPwf44ccv22d/4v1vJ3r7F+79s9l/847HLWfP/uS/eyrRP3to1w2jODE/WtqojaJ3xJ7/zyBJ\ns3c8oeHoH73rdUTv6vwzfXz1wEN+/+KkTxQd8XwWPrJ26Cs+tFVYouio755fO/CgW/5+T7FHuuff\nH3jwkz5/skike37ugTfuG2ftqnTPzz7wxscWabso3fOehz5wYWV84huke37i5hsetGOU9qV73vXI\nA9HNp3/zpUQ/dYPvnnfeun/Hw0+euFVa5+hjl3nmp/71HUQ/4j1EHn3sUvbcT/7yNxK97yu7fj6K\njfnxuolsFHlbuhtJlh95fM3Rj77zzUTv7LznY6sHb/rDS2Pxz/1Ha4du/vBmgXTPfzjw4Js/t2ey\nV8T84IOf/PkTRSpj/pB946xZFjF/0I1fUxgrfuafuPmBC2uj408U77nlhgfuHKRZAPP4Yaf+88uI\nfvLBvnveeev+HY84eTKA+ZJ99if/1VGiH/EeKI4+bjF9/id+6ZuJ3veorp9vJln2vroWMb9oev2f\nbixHP/rOt/gw/8jaoYfedXG0IH3eu3Zcd8tHNsZinf/7gw9+6Od3F/uke3714I1PvTuA+c8+6Ma9\nhZFr+GcedONjKmPzQA33d4xO3i7d8+O33HDD7oGJpXveeev++BEn//O3E/2k9x3jnbfuW3vkiVOP\nFjF/3KJ93if+5Z1E7/K+pB593EL6wr/8xWcSvfefdP38ssl7P1XW4uc9my4s/lwdcfRjd/4g0Z2d\n93x4x6Gb/+jiWPw7/sMdhx/+sfWRWOf/7uCDv+ILu4r90j2/cujGp504LmP+Mw+6cU9p7PXSPe9/\n8I2PbmIrrvMTt9zQ2zk49WQZ8wc8YM9WKn6X33nrvugrT/7GK4j+2c3eex61d/XWu0OYL9hv+cS/\neBfRu7zvaEcf309f/Be/8Cyi9z626+fnTX/hZ8pKxPxUtrj883XC0Y/d+TYf5h/acd3DPhrA/A92\nHn7EH6+PRcx/9eCNN929qzgo3fPLh258+sm7S3Ev/ZkH37i7SuyhAOZf3cRWfC/48Vtu6O0enBYx\nf/fDHnD9vs20CWDOI0/8p1cS/bNH+O6581F7Vx599+nHEP2cd52jj1+wL/qLn/1Rond6mdOjj++l\nL/2f//p5RO/5+q6fn0kXl/5FUYp/7uP58uq/qQxHP37sHUTHOu/5g52HH/HH50dL0jqfWNojq8MU\n131yWI2iaAn4j8AbrbVbUXTPY81aa6Mo6qT7oy/+w33YWvvhq/5dI7udyXOlS8usbkxnU3cBVx/w\nzgN71OssnrdIh9Wlc3uD6/Q2dtKmUqdnnd56FFzHjBewkf8QChvkG1Gf0RrR4vXATL5hp78Aeo97\n0d7kDX9212Gi6Nk4U6fdwN7Zr6HhuuNLn+YhxBeI7BLQAPVVv6qKOLn8npY94/95kX8VZbhDZgQU\nwAQo/tNH/yw6vmR6wK/Mfg8nNWd6b/xtZz61/wkfbxPgx6a/X9z712MuXVr9VJTmwI1X/bcRTkkQ\nA/HDBhcfvP90HQFfDyT3+jNbwD7h/KWF9SzZATzmXn8vV+59yHB9N8OoBb6iaw3APmCrtKZiB67p\nsW0NwC60RW9PYWucK3XXZVcmUR3R7MAZgn3Rz2b/0LOF2V3EJfdg+UU/B+gXaTsyyS5cI6nzSqMi\n3l8whm6JeL9tyGrDRdPbsacezRorX/T/OZst7jTlhJiJb5+xO6tiECXFDJfOa2DMSlKnDQ7Dzr1k\nsW6HbVKL+1lhooW4SUR5YN4w3kpasWteGZunTSwytKaNispYsdvYJG2W11aUH8WNqcdJLMqqbFKb\npboR2YCoyZoNk4mMlDVFtLv0q136bV1jDRdNurC7Hnd+7jP50mrUjAG/enKtLrZsUoqqns00XYqb\nSuy+LzTtKIT5JIkWkgDmWWPHg6QV5YFVYvO0iUTM0yYuyoQA5k2aNyaAeVKNTCzKqtqkSpbqVGT3\noyZrN9JMZCdsUkR7BMyXm7LEJmyYvLdWF50sxtlscTVqxhb8f6y1qtiyphIx3zJmOXZ17r0W6nbY\nBOucfhDzmvEwb0V5YGVsntYy5qaJizIJ1XmT5rUR5cRJY8KYmypZqlO5zuusXU/zYJ3vKa0X89W6\nmBDFbCVZttyUnTLLc9nCatRE1j3ePetU5SBU51upWYqbMOZt0ohS9EmCos6ZjHKZjaoSm+d1FMAq\nKTV13gvWeVqPAnt7m9TJcl0H6jxv102+jCNWOi+bFOwrWy/mu+rxiChiHBvTb+tOUM9fwdz/17xa\nl1s2KUVWfsuY5agx4jhOX7G3FyZaSJpYlAGnNZNx2ooS8ipp87yKxb9j08RlkSCq/lpX58Hn+cgk\nYp3bpEqWaxOqc3vZ1XnnO5wFrCnYXzbe89HeajggjiiiJMlt01mD59P+atRY66Yhu6/Vqtxqk+17\n+7+CG/4AbgAYNBN5Hl9zWWuv6ReO+fpd4E1X/d5ngP3Tfz4AfKbjv7PyujYDW4ONhHueAvb3A+vc\nAvavA/d8N9if4yirHGXzi352lH/BUV4H9tlgfzOwzk/yiq/9OEf57s6fH+VdvPB5vwP2feI6j/r5\nP+NN1/8378+P8lDecuAy2H8qrvOypwx4+e3us4Cx8EALT7LwGgvvnST8v5/cHdmauLBwysJnLPyN\nhc9a+FsLf9vCX/3JwcRO4ugjFn7Twq9ZeL+Fd0zXee5f7uUZD331UvsGfuqRFnILfQvLFnZY2Gvh\n4AtufsFz9rx2b21hdfrzZNvnfd1Db+GND7Qi5s/4nrfxqsdcEP/cz3/Rd/DqRw/Fe5770g/yrd/0\nCfmeb/tJXvrU4+I9L/nmv+C5L/uP4j0vfP7v8i0v/BPxnlc+9hzf+No7ZDyf9Fme+cp/K97zpgeU\nPOX7nyre85pb13nam97o/fkzX224I7Y88Y5UXOf79jXc9o6v9v78KW95Cm96QCmu8eQf2MkP9a14\nzze+9g5e+djz4j1Pe/O38D03jQOY/zov+ea/EO/55le/h+/4upMBzP+S577sg/J38MW/zYue461h\nh/nXnOcbv/uHxHte+rS/4dnfEcD8+oonf//t4j3f9ah1nv76N3h//sQ7cof5kW11uQ3zJ731Vj/m\n3/d03niDjPltP7yHty/ImH/Ta4/xnY87J97z1O99Ed/zFQHMv+03eMkz/1zG/Lvex3d8wwnxnm/9\npr/iOS/7v8V7vuVFv8sLn/vH4j2veswFvvF1b5Uxf+rf8uxX/IJ4z5sPVzz5B75BvOc1t27w9De8\nTsC8zx2J5YlHvPuttRa+f0/Dk972CAHzb+INDyoCmB/gbUsBzP/pu/jOx5+RMX/zt/K6m0fiPc/7\n1v/Ci5/1P8R7nvnqn+Lbnyjv7d/6jZ/kOS//9zLmL/x9Xvi8j4n3vPqfXOQZr/t+8Z6XPeXveNZ3\n/hvxnu89VPPkH3y8eM8//apNnv4G73sBT3zHMu8wCsx3t9z+tlv8mL/lWbz+wQHMf+gwb10JYP6a\nH+MVTzgt3vO0N7+M736Y/Dx/3kv+H1787D+VMX/V+/n2274g3vNtz/g0z/n2X5Uxf8Ef8sLnf0TG\n/NGXeMb3fK+M+ZM+x7O+8+dlzA/UPOkHHyPe89pHbPH0N77aj8M7VvnhLIz5D+xsuf3tN3l//tS3\nPI/XP2QirnH7D93AW1db8Z5vfs2P84qvOyVj/qbv4LUPH4j3PP/Fv8WLnvPfZcxf+bO8/PbPy5g/\n/TM8+zt+WbznBS/4MC/4lg+L93zXV6/zjNe/Sbzn5bf/A8965c+J97xlf8OT3up9r3KYP3zA0970\nnX7Mf3hX6L3KWgs/uNZy+9sf5Mf8e18QfK+6/e038oM7Aph/13tDZ77Qr2t1A46A/wv4tLX2p676\n0W8C3z79528H/vO8a1tLiTvOS10IjQx4Hb0MeDdfzKoy/fdd6nX66/7IGecGHAXXyYYrEMkOx+kg\nfSCfO0AUPZEoegZR9Fyi6CVE0auIorcRRT/5qx//8/6JX//Ya4iivwOGwEeAd+CYwgux5Rdf8nx4\nUPLpV2LtQax9KNZ+BdbehLUPwdqHxGufe8LjXmXp3WFvw9pnYe2Lsfb1WPtOrP15rP2Nr/pufu8z\nB8bRT6evslhbYO0Ya7ew9jLWnsPaUx88eGN+3qxUWLsx/fn2Ts6ez5zHpTH4u5ZJGTY6ScpTwRna\npJQjXgBac450JJsFhMxtQBfbkI76NLl/GB6g7m0GzQKygaHO/XMKMJ2zEsx/hnsPOaOTY+FInqT0\nz0FqYn3q/mXiiugJ7/YzQM7cRjZAaM3JoOGTxtymzcJ27ma8LBoggHPIS0oZ82zUE41OAOo8bOGf\nbyW0wgwauBgmKUvUGZ3I5jYwi+rwS3riOmxoZJMLJKUc1ZGUexSYnwpi7kys5GeEcz8NYb4kxvqA\nzsI/HclGJzA1+SoCmG/KphfgzH+kOndzwbLRCUyNYCo/5hoTK5ucIR3LUR0qzNPTpKE6L+VYH9Bi\nrtjb88vB/NhUU+cKzEMRLzCL6vDPrGrMbWAWvRXCXDa3sWZq8iUYuyVV2NCoUZj5mUB8F0CTnseE\nnufjJTHWBxzmoZzobNgTzW0A6r5ybw9gXgYxv16JuVznLuJFxrxNZiZffnZVY2LVmjNu/Ey4kkB8\nF7hs8JBpp/P5COztmaLOh3KsD0DdHwT9S/JNOdYHpiZfZQDzgLcLzIzd/KxnXB0I1rlzIZcNn0Lf\nc8V1rW7AXwu8FLgtiqI/n/56OvBu4ClRFH0WuH3671/KFZLeamTA88iJ7y0BZvrvO9Xr5BsZfjfg\nDfqXk+A66WgJbPdDMooesPUjvPyj/25r4dPc8lbgXcAbcU2BZwOPxx2GT/zuDf3oQ4fzXwS+GVjF\n2sNY+0SsfSXWvjtt7K//1a5+efcO6z88H/7jQ1QLVnAmxh6xDXXWsPtv/MWTlPuDX3rYJN+EdOj/\n+0nKsLlNf/1U0AjGGZ3I3x1rwlEdzvRCiPXBmQWkclQH2TClDWx0TW9Tiuq4YnRSLUgu22HDJ5dH\nKh9aAMrFkqTwmwXE1d6QoZGLbVi1ZCP/hpmUO4OY2/hk0MLflKvUPdnopDFng87W6WRBzC+DGeay\nQ146ysIPt3xDekjeY3SSyJhX/eF9h7nwYqSIAVDFs8SlGOUEQJuGTb6SYoUm4NDYpmeD5j/O0CiA\neRo2BcmGcpQTTGMb/E6Y0W1Ho6DRCUDdH5IIMUya+C5whk+xYPgUV3up+grMl63ohJmUWRTwAAAg\nAElEQVRUO4Nmda05HoxhMsVK0JVTYwqSTvqKvf1SKJ7FmdsIxmUwM/+RME+c0Yngpg9Q9cYBzA+q\n6rwKGD7pMJ/GszR+EyEX6xOq86D5j4v1CZhYtVnY2M2MtZjLdZ4OUxpVnQvP8yNpMNYHoO4HMK8O\nUS7JLvgQNnZT7e3TeBYpti0Q8QJM9/ZhuM5DmDcKYzcz7tP6zercOlnYtDMbmuDeXgcxD8f6gMNc\nMvlyda7AfLES9/ZEU+fHxtQ9iBq/AVWIZFFc1+oG/DFrbWytfaS19tbpr9+x1l6y1j7ZWnuTtfap\n1tqQY6/vCpkjadyAR0AaiGe5+rB6741qHmZ1dXq48TOr+UYaXCcbLBDX7nNEUUQU3UwUvZUo+lPg\nzxYrHvJjT4jsPvMPv4K1T8Dap2Ptc6as53di7Q9G2J/9la+Mo5e/oPgvWPsZrO3+wtW9gsVz/u77\nwnndw61eqFg6I3zpi71UMiNqj9gCG1v2fFrY6IqdQXbs4J+eIt+MogihozsJs2NwKmjtnY57NLm8\nsbRJuKObDuXMOoAmlQO3zXgHNsF+9G3y308ocDspdRud6+L7vzua6AeYdvFLoYtf7qAR8oIB6t7J\nYDxLyBIepgxtAHMz7klufW6d9Bwm0NHNBoYmwII32brYxY+a3TSZc4WULhfP4sfcPdxkdgxmUR1C\nR7faE4xygnAX35RrwbgP18WX41nMZIkml7vmbXoqGM+SjntilBNAk50PdvFdDECABQ908aNmP3Vf\njnKCWWyD9BJ7IKh8gBlDKzUolJgHuviJgh3TdPHNZFmFeYi5cYxooIGYngvGNrhYH02d+98Lovog\n1WJY7eLYOj/mSX2AcinUNA4ztEm1h3pBZsdgFs8iYx5kx5Lj5BsB5maiYETNmeDeno4VmGfng43I\nbKBQu+TrYk503OjULiG2Lq73B5UPMItnERoU5W6qgPIBZvEsUvNZU+cnyDfiQJ0vBpvGbXpW9w6X\nyZi32flwnW8lojs2QJOvk0wEzOtDKrVLsPlcKTFfLElK6bC6mzpAFAAUy20Q82u8rpVZ/ce+Qsxq\nUAZsLZYwK7o2/X9JMmBdzqrLFfMfVrNBHlpnT3uhf+efXNpDFP0b4Au4meAH4PJqD0TWvuq3HpyN\nNhdFS+5VeusWUwY6zNmI3mV/RyTfCku8AKp+Qe+S1E3bHZR4gXu4rX3e3303io0uH2ySbUG25Zfk\nmWKJJpc3OuzxYPhyOsrFiBeYdfFlti7fjKnz0EYnMzc2PswkEPECs9gG/3cnVkS8ANQ92c5djXkg\nZN1Mgi80rou/hBjPYjQvNPlJsgBDmw0VmGdhti7fjLHRtWGulfs0+Yb4wIirfVQLCswXRmJHNyl3\nBdkxmLJ1EuNSrIYxv9LFF747ComXk5AH6lyBuYahzTdj2tQf6wPhLn5cheO7YFrnAuYuyklzcJHr\nPNZivlgRVwKzqsJ81sX3P2vMeJE2wI45CXkgg3aYqQ6rAlsX3XY0orcRBWV9IbYuUUQ5wTRuTarz\ncr+qzkORPBoWHKbxLALmpgwqnOxddw5pUzmeRaN2adNwnWfDsNqlTc9L8SxqtUuTXZb39kqHeZ1v\nic9zl0cqR7zALJ5F2tt3B1lwcPEsiVjnQbWL/dCdGxDJ8SwqtYsJxrOQDRRqF0Wd5wq1S5NdFvPg\nNZFtMKvz+wZzKT9W/zyvSKTmc2A8RnHd3w+rGmY1JAOGMCsakgHvAjaB5SgS/85WScpFpMNqOu5/\n0WeJojWi6HFE0euIol+xUfR3n/3oL2cv/szkFuAvgacAD8Da12LtH2KtY7xaM6B32c+UZFtrZFvR\n9HP7ryYbkm/5KXpT6L70dW9CvhV6iQ1vdNVCSW9deBGZrISyKe0RW1P3LIc/7t8w01FY7rP2D66j\nG22PZblyZcOUJiDxsskpSU4cPf3NPUwBcRtgblK5u5eUh6gULHiTb4gMbVwHpR+A6+gaYc5KI/cB\n19FNCoGhLZepA/ll4JibqBE2TIXcRxOyHsqsc+uclkLWo9uO9IkrN78prpNeELv4WrmPkxNLB5d9\nOsx7Q4zIyu+izjV1XohsnZN4hTEvlhoSoaObjvvBGdHWnKAXYG6ygQlKOdv0tNTFj267Y5moBRuH\n5IqBOq8PUi6GMW/yDbGL7yReYUa07g2JBcxNuZMmV9T5YinOTasxX25FOXE6Ds8Ft+nd5Jvy+082\nNDShOk9Pi2MDUbuGjacv38LVZBdEzOPqgLLO1zEBzGtlnYsMbbGTWoP5QiGqb5zngxZz/97uWPDA\n3m5OhDEfmODe3qSnxfGgqNlNm4bVLk12PtCI1BEFTS6z8nG1R/k8H5GU/nc4U67p6nyhELPBNT4f\nAMVKGPPw3n6SfDPQfFaoXZr0jFznzX7qHvauY3IjKJQH72ZEw5iHWPmk2qPb2/tDuUFRhBVO4PZ2\nSYkRklArrvv7YVUzs6qRGIdY0dlh9d4ZqzA9rFpLgzMpEv7S21WiZkX4TOtRVC68mP+wlyj6A6Lo\nFHAc+GngkcBdH+Xrvm3X859e3/RG3oW178fav3F2Wve6bLxJb8P/Zd3zqQPUvdYesfIDrjVbpAP/\nYTWZ6L70TTYkHfsfbhoDBIC6X5ANhIPLZCnIlABUiw0rJ/2MSzrKaTP55fNBd22RlHDzf/J3sLKt\nhKovd81tfIpMYGibXCf9aM15MoG5iev9lAqmxAVu+7/HGgMECAduJ+VqULINUC2M5JdYJeblomz4\nlI6CBgiqLn6+FSs6qKdEVj6uD1MqMG+yc2LIupYdC4WsJ0qJl8Ncam6tUsvNJCDc0XUSLwXmgZD1\ndJzTyhIvVch6NkhoQhIvc0rs4mvNbQJdfKd8WFKw4NkluYuvlHi5eUrhGTEH5nKdh2V9EO7iK+oc\nG68TtUS33+F/L8i2EtpUxrxNT4tsXVxfR6FQuzjM/YZPca1jREPMTVKFPR9gNioiYx5oGgNTI5gg\n5vIhE6Z1Lh5cckXT+JwzdrvD3xTItmJaIysfWiOPDcT1dSrlg2NoBcy1apdsXWSuknIXdT/cQNRg\nrqrzBdnYzYzDLDiER0XSUR5sIFpzBhMwdsu2wmoX15SSMD9EsaIgCtLzYp0n1T7d8zyXMdeqXRzm\nwjvcHHUuHlYDEmrFdX8/rIaYVY0bMISZ1dk6ErMqrhNFRNOOprVHbOfh7t2/T/+//lpz+A7uXGmI\nfxb4GmAFa/8J1r4aa3/hG/jI2XbhckPoEG6jDbIt/59p5ZSuK9cmG6QjYQ6y2KU6uDTZgHQY+NIH\nTC/ASUvTkdDdU8h9wDG0+Zb/JVYh97FHrKVYadnxueu7fn5F+lEtyofVbCB38aPmsGqja81p0pF/\n09W+0NTZBVLBFCQpd6oebiHmxkxWgwYIMDN8Epib8QKtBvNFuaPr5D7ySyy4Ln5kO9k6Z3SikPtE\n7XGyLT/mcXWdSu7TJnIXP660L7GBw2q1k0ahfHCYCwZoRVD5ALguvhGYG2dcFn6JDc1ZZYOw0QlM\nu/iVp86PpGQD524qXW16XOziJ/V1FMsKRjTQxY+r/VT9MOZtCPNCx4I3+YY4N23UmA+JBSMYx4Ir\nMA908dNB0NDI3nXUMlm1vgNQdNuRnHTsXIylqzHHRWO3uLqOclFR59kZcW9Pyn0qzIN1XuyiUWBe\nZ7ISw5lYKV5iA2Z+GrULuOe5ZOymULvcY+zWePb2I32SUqN2CWBeX6diwZv0DNlQakTq1C4htk6r\ndmnyTZGh1Sof6t5INHzSqF3AmflJ5j8KtcvU5Mtr5hfddscycaNQuwTqPKmu06ldAoZPDnMNOSTX\nuVbtUuebGEFCrsU8ZOwWMjZTXPf3w+p94QYMOmZ1nW6DpXVgOToWmcA6fXrrNVHH54mimCh67Q98\nnN/9nwdJbuXPC0PzO1h7vIM1XaW33gb/XFF7iWzg/7L2L+6n6oc7NETrZCNhtnOyU/Vwa80mZuz/\n0qfjZeo8LP2osyFGYGgzhfQD3EtsOvR399xGJ798guvoZlvdbJ2Z7KPuYf/4LfIDJRtcIB0RPfwD\n3QfEuNZJP0LxLEmpY8Fbcw4jxDYk5Q6VxKvOZebGFEvUAaMTCEfyZKMedcDcBmYdXT9blw0T2lQ+\nZMJ05qboxjyq91MthOU+df88piD62p/oNtxJlJg3mdzFT6rduodbek7s4mvlPnV+GSNE8phiSflC\ns0UsYJ6O82DcB8yYGwFzhawPZkYw3UqMuDnoopwCRic2OYOZ+Lv4WolXqIvvTC8UDcQAW2eUyodQ\nPEuiMC6DcDyLY0p0mEuH1XwQjvuAWQxTd507d+wwC27NKdHYLVYaGjXmNFkQ8zBT4kZF/CZfSXhG\n1K2TXyYRmBszWQxGOUE4nsUxooqDSwhzhdoFoFhuiCtPnSvVLiFjN63apTVn5DpXql3a7IKIuQnP\nggNhYzfHgivqPGD4NNfeLoyKZMo6L1Yaoc51apfWnCTf8o+KxFrMUxlzrdqlSWXMtSx4yMBRq3AK\nGbtJjTjldX8/rP7vnlndyb1iZ+wR207/+x2BdVZZuDjg3oxoFD0c+BjwsjrmiXfcDkUcy+v01qNt\n69z7SqqLLuLGc2UD3cElspdIh1InNpxTCNCaddKxIEWZLNIqpJxNviV2etJRHnRuA8fQmsLP0GZb\nMZMVWeIFrrtnCt/DTSX3sR/4YEu5bNnx992zdU7uE97o4uqEaP6TVDrpR5OdJRO7+LqHWyiqw0zC\n5jYwM3zy12c6ChudwHTOSpi/yDdjysUw5tWCv6OrjPu40sXPBxLmYaaE6ITc0VXOgrfpWbGLb4o1\n6p4ScyGGyYx1sr4mF2OYSAc5TR5mRF0Xv/Oweo/RSUC+C1PDJ+9L7ByY+7v407gPBSMa6uIropxg\nauwmdfEV8V0QjmdJlbK+QDwLqcLcBsQu/lWxPoo6X6xEzDV7+z3xLN0vwy7uQ4F5ekIcFdHK+hxD\nK9W5TuEUMvlyxmVhzAPxLCpzGxDjWdRqF3CYJ0KDogh7PgSN3WI15sdFCbla7ZKeEceDEkWUE2gw\nDxsaQTCehSysfHDr+ONZrqhdQlFOAOVi7TX5Uno+BI3d9Hv7CXE8yBEFOszFRqRS7RLCPFVEOUHY\n2C3ktq+47u+H1X/0mdUowgA9YMA9rsD3vjSOwKv0L46u/PdR1CeKfhS4C/hl4AlpYz8FbNK/NBDX\ncZJReXNJikvkW+n082+/0tFuGoV8N65CXbkV2lTzdyw727kXmnA3rU03RYOIbJAG5XgAdT7ETDo7\nutFTv2+JuIFsFO4SVgsFyaSboY0anbkNuI5uOu5+uCXVPlX0w9LZk+SbRI/++W7MXWZdmClpzUlx\n8zCTZWpFB7XNzpEKkTxm3FN1UJtsXezopgOjeihV/QFJ0cnWudk0Cx/9ofBDuxRmbpJSl1kHDvNk\n4nmJLXUSr3QY6OIrjU5C8SxJoYlympmC+DFPx31aE8a8zi6LHd1saGiT8Mun6+J3M7RRu0abYO+6\nU2EK0vfP1mkjXmAWzyIcXFTKB7mLr4lygjDmjgVXNBAD8SzO0CisfAjFszgWXB6pALmLfyXKKRDr\nA3L0ljbKCWasfPdsXVztodZgHjB200Q5gYtnkaI6kiIc5QSaOs+DUU4QNoJxahcN5n62Tqt2ASgX\nBcyrA1RKzF08i6/OtQqnEyLmWrWLcyH3Y26UmLcKzDVN41A8SzYwNIo6l+JZrqhdAlFO4MaDfHu7\ni3JSYi4YuznMFSy4OSGOB7koJyXmUp0r1S5OQi7s7SMd5iFjN6n5qrzu74fV/x0zq6vA5jTixnf4\nvcw9B1nfOmssXhgDG0TRU4FPAg8CvhJr/yXWzrq0GyxeGHjXiZq1abctIANmg/7FAt+hNx3tosnC\nHZp0LJv2pGPdlx4ukI4CX3oTfri1iczQZoOEuhfumjf5Fkn3YRWbHGayGpZ+gDP/MR5padQcUEk/\nYBq47ZGWJtVuzVyw/cAHK+o+9NY9h95ih2qjs4ls/qOJeIFpPIswi5ANw/llMI1nEdi6fEsn92ky\nv+GTMzqx0zqXLylwO272q1hwmDI3nngWpdzH/tb7S6oFsFE306tlwV1+rIS5TtYXYmgdO6Y5uFwi\nFTq6WllfnW96Yxvi6npKhdEJyPEsTr6rrHMhnsVFOYUxD3XxjSKbEpwRjFjnY/1hVapz90Kjw1xq\naDrMwy+xUhc/ru8bzJPqgE75gBzP4szqgs/hoLGbe4kNN43b9CS5wNaliignt855UmFURBPZBuF4\nlnxTh7kUz6JUPrh1+kIjUjn/D3I8izLiJRjP4kwpFeyYOSEytJooJ5jWuYT5QHlY9Zt8zaV2keJZ\nnExfh7lk7BaXuvl/kI3dknKXigW3ySXixs3Kdl1azF0Mk78R6cghhcIphLlS7RLC3CWTXNN1fz+s\nepnVaZzICqFoFnfJjOg9B0OfrHh2aBbXuTH5ZPuhf8vNwM8D34O1L8bae8sdNlg4N/au07+0GxtZ\ne8SGWJcNFi6W3nXS8Rq1ovveu3yGdJB541nMRLfRxbXscpYNMpX0w8beF5qp3AewYZatMVveeJa4\n0rNjdW/gnbPSsmPgGFpTeCQk5U6VlBOmDO3IM0OrlH5EjRyybsZ9WsVG1yZiVAepItYHXDyLp6Mb\n3XYkJR2FzW0A6p6foXUvNErM+wNvPIuT7+owLxf9MzfaWB9wmJtx90PSFCu6h5s5IcYwuSgnDeZn\nxC5+NtRJvNrUG9UR3Xakj1GY2wA0md/8x7FjypdYIZ7FMaLKOhfiWZK56lzo4hfLKnObNr1b7OKn\n43Dch1tHjmfJBuEoJxDjWaLb7lhUmduA3MXXRjnBLJ7FV+d7VBEvIMezOLXLPJj76nyZRhHfFWJu\njCLWB1w8izRnlm2Fo5xAjGeJbr9jVRXlBHI8S1LrzG1gytZV90GdC/EsWs8HkONZkkIX69MaORtc\na2jkzH8EzBVRTiAbPkXNTmysU7tIrPxc73CCsZtW7QKysZsS83tMvjyjIk7tolC1mZNiTrQmvgum\nYwNjaW/XeT5Ihk9Ttcu1Xvf3w6rErC4CE2vRUPghZnUjOhZF+Jna2aG5e50oWvwjvv7Vf/rpd9/0\nuR2cBR6Gtb/t+f9tsHiu8H6epdN7qXuaTs8m/Uu1dx0zXqU14YeAKdfpr7dA9xfNjPrYOPylT8dn\nAy80CdgwU2IjvyzZTA5QLeqkH2162WvtHTc6oxOAur+J6ZaWOunHQlj6AdMuvoehNUq5D7junvEw\ntMphePt77x3QptCa7oe2M7HSMCUyc5MNEqxCytlk/u5e3ByiXA6b2wC06SUSD1uXlAeoFpSY534L\nf1PuoerpHm51f+KNZ5kH82qp9jK0ZrykYUSvdPG/7kd8za2esoN6UuziZ1uJrmsusPIuBkCnfGgE\nky+tuQ1MGdrKV+c60wuYRvLUHrZOaWgEU7bOMwfplA/hQ52N18UuvsspDGMeimfJBuGIF5ANn+JG\nr3aR4lmSShffBbPYBl8jcrdqLhjkeBZTrKrmBUGOZ3Hz/+GXWJucwxSu4dN1ucg2BebmlMjc5Ioo\nJ5DjWeL6OjXmUjxLrIz7AGhyf/NZa24DcjxLojQ0AjmeRat2seYM6chv7KZlx9r0NKmE+VasrHM/\ncaGNcgI5nsVhrmNEawHzpNo1F+bew2qxSt3TjMtBsVyTSHWuUTiZE2QDv7GbWu1iTst1rohyAtnY\nbR61i3D9f+Gw6mMytRJg7To9oPUwmt3MqnP5fSnwmTXWDz/6CS/4q1c9mw9jrXSA2WDprJ8RXbi4\nlybXHIA26F9uveuk42WsCXflYIPe5QbfoTcb5dgo/KXvXzpDOpK/9FEb3uii9oJ3o7Po4j4A2sQv\nP4qb/ZRKuY/cxdeZXsA0fLnwdPdKXZYVTJkbD0PrzG3CL7Hguvhm0hnVQTrKdIyov4t/j9wn0Tzc\n/B1dFwOgZMdyfySPm2vSdc3dzI2Plddl1oHr4vviWebBvFwsSMpuGbCZ6EwvwHXxs2F3RzcdpiqJ\nl9DFvxLlpJHvupkbH+Z6WZ/U0U3K/WqmpMk3vEoMJ+ubo87Lbgm5M7eZp867MU91UU7BLr6L+9Bh\n7pk5uqJ20cwXt+k5f51XehZckhO7WB8d5i6exYe5zrgM5HgWbU4hyPEsZqSKcgping0yVZSTw9yz\ntx9JSYc6tUuTnvOODTgpp44dk2KY5lG71PkGicfkKyl2qdUuUjyLmQNzKZ5FqXa5Kp6lu7mlVruY\nk+TdbN1cahdX5z7M56jz1F/n87DgjWDs5jDX1rk/nsVFvGj39sobt5aOVFFODvMlvE1srdrFNaU6\nG5FzqV3CmOvqXLju74dVyWBJ6wSsWWf2c996G190XxRFRNEzgT8HXg+8+Kv4xK///d6iUHymDZbO\n1t7P09vYSZNqimeD3uXZnO32y4wXaWPNS+wGOz4Xkw48h9VBStSGN7rFc+c4+GdxFLHtCxs99p8v\nE1fw2J/WML1nyDe6X2hMqf/SW3OObNB9cEnKvSrTC5gyNx62zhQ7VFlW4Ng6H0NrJssq6QfI8Sxa\n6QfI8SyK/DLgqi5+R8i6Ge+iTd0sVuiSInmSQm90IsWzOBZciXnmZ+WTUmeAAHLIulEaIIAczzIX\n5kuNd7ZOK/eRuvhRs5c615nbNIL5T1wfUMv6RLZOaW4Ds3gWP+ZaFlwKWXfGZeGuOcy6+B7MlfFd\n4Lr4vkgeV+eKQ6Y54Y1nucfcRhHDlJ70xrNoo5zcOue8XXzHgusx98WzzFXn/S0vK6+d/4dZPIu/\nzjWMKEzjWXwHl0GifIk9STaIOo3dtFFObh2hzpVRTjCVEwuYa9Uujq3zvDOVq/o67w+8YwNadgw0\ne7sScyGeJVN6PrTmOJnH2M01EJXKh+DermTBA5grfD4ARzj4RkXmUbs4YzfpeX5f7e06zCUzP63a\npTV+Y7e40cX6wAzzbq2vmwXXYS5c9/fDqiQD1joBa9a5mjntumby340X8Ws3AX8C/AhwB/BYrP04\nzg14dq90rbN41no/T7a1gzbVHIA2WTmZs3C+u4ufjvpENjyPBJssnTO85Dkv7f48g4R8M2yAEDeb\n5AN4wQsete1n+eb1FKvWHtmWKbv9apPPcP0f+xiX/Wrpx9aBz7J6t0dCUu5SS7zq7CJm7JGcKbOs\nYJol6jGIMErTC5g55Pk2ulzFiILr6Cae7l62FWPj4EZn7zpqmax2h6zb+LAm+gEQmRuiRm96IZn/\nJMUc7JjQxTeTNVXcB8gh6+lY/0JT90Zeti4d6mbBYdbF7z64OKOToNxHDFl3mXXXjnlSHlDXudTR\nTSp9nUts3TzsmBSybiYqRhSYdfF9da7HvFqsuoxgrjI6UWK+1B3PEteH9WoXc8obz+Icl3VMiYh5\nqVc+SLENZo69vRFMvpzyQVnnfQHzYUajYMFhhvm2Op/H3Mbedayg6rtmxL0vl0eqxDz1jw3E1Rxq\nl/Sc1wjSGZfpmsYS5skcygcXw+R7nuvVLnV/TOyRE2vVLjCNZ9l+cLlK7aLBfEyTuabjvS83mqGv\nc994UFLOh7mvEekwv4/qXDEXDDPDJ89hVWloBLLzvFbtAl4zv3nULvauO7doEzdLfO8rrg7q9/b0\nlNfYLa72UyoxF677+2F1APQ98SzzyIAlZvVqea9vo9oAVn+TZz72p3jT1wD/HHgk1v4X7JUD2Bq9\n9XDkDGyweN7PiGZba9hY8+faYOXkKi9/ymu71xn2iOuwfHf2edPt8sAoIiHfjNj3iXAndrZOsbL9\npTod6eU+f/ra/0GdEb3iG7azdfNIvEa7P0f/cnenxyid2wCa3B/PkigNjWC6YXq6+OmkT5PrmBJp\n5kabXwZuw+wwBXFyn8KxpprLsXXbD0BxfVBtaOSkpd3xLPPIfaSojqTaqcovA7mja4pl/QuNELJu\nxjpDI5C7+HNh3t3Fj267Y5G4dk6FmsvXxY+rg2pG1GWJejq6c5heSF38pNipVj5IbJ2ZrKiMTkAO\nWdeaWIHcxXfRD5o92d/FnzqQullmxeW6+NvnrJL6IJVWyil08ZM5DI3ELr4yygnkeBandtFhXgts\nnZP16fZSF8/SXef5wNCmOsx98SxRs5vW6Mxt+F/UvXm0Zdd11vvbZ/envX1V3SpVX1JJslo7sS3L\nwZIxcZzEI+ERE48MkhcI5PEg8QiQBtxUlWznEXg0DwIPGGkI8EgIAUIgsR1FKjt23MVWa9lqSqr2\nVtXt72l3f/b7Y517T7fPrb3WlcdAawwNW7dKS0f1nbnWmt/3zTmZrNDKjHLqGld2xTz/2X5jYmM3\noYK/XpjnOwOTXdS6vA2NYPeGT3Yzn9sFtsezjBMLWrI/t9sFJjd8KkQHJc72yY3dZNwuorHbZMzz\nquC7jWeRwXy3OLc6Tq4aUdg9zvO6XUBgnhnn8WJutwtMxlyPD+Z2PghVPhtzGbfLLut/6WQ1Teki\nuv1mfUFkbMB5lNXd9tv6377Jqe/mMz/23XzmZdL0NwdG0fT3cepmjs/UwF0vTPw8VqdKquWrNQUo\nLWfbAMy2idnJ84gVAd81xlWF2/5kBsOD6Uu37nJ2Jl3m5n1ttO7459HzX27pCx/o4k+lbB0dr6fU\nw7ncDY38qavYjUnKjYyt7yZWK5vRNSUsXrvZic12fltf7DTQo0mqfIHEynfQxRMaPhnBodzWD+i1\nc8940OjhAcJ81g/B4k8Ysi6DubCuTWJ0a8ROvvOiay5PZvFlMN+F0RVzCvMxqLux+MLWd2vnA0xm\n8WXsPjB5yLoe78/b6ESMZ7Gzx7Po0Wxui9duLL6w9eVUwXdh8WVsfbti3smP+W4sfl5bH0xm8Xuj\nnHLtAZNH8oh6wZyYP9aka2SPZymE+W19u7H4eUc5iX0mj2cRDY3yYr65O+Z5H7F2c9KcaKyco5yg\nN55lAuYyjU6icnYjGImGRjtkSNZ4FlEXnNP5MLm2rqeC543zW2CeO843MfwJ5AX7RCcAACAASURB\nVHPbyp24JLfEPN/ZHk062+ODUphPPNujfbkdTqm+QSHObuwmzvZ8mIvGbpOIyBpJzsZlu2Oe3+2y\nK+ad/JjH9i6kVEOTwNzPJChkej4AhOXsxm4FKcwnN3aTifNd1p6TVU3Tfk3TtGVN054f+NlZTdOu\naZr2dO+v9+7hXzFJFZW1AVcnjG0Y7PKb+eV/+DL8q//BO/+IP/uzz3HfpI63NaymleMz1XE3DSYq\nq60SWjfPgSmSrUI89nk0DQ27aVC7emsbwJlUJJFaOh6E8986SFju5rLvAngznUymRw/yN0AACGox\nqZ7B9ISzJDnVsRsPXsPsaNpPvnn8ghOKaF7WfAmrNUGhlbB+7KbWCetHPgZVNHwa++4I60dLA/Ie\ndNkHppYcJMjZAAG2a2gzDsxoH3HOgw4mD1mXwXy3IeuGX8utlOzG4psSiuhuQ9bNtkmao9EJTGTx\ne5jna24Dk1l8Pcg/1gcmD1nXQ8k4r2aPZ5FpdLIbiy8T57ux+IaEUrIbi2+2Tbq6RJxnYX7Gzj3K\nCSaz+DKjH2Ayi1+I9klZvCay+BKjnHZj8Y2gmt/Wt8t4FjG+K2fCYa1OxNxq51dKEnsrq/nPgNsl\npw3YbVPIaPhUiBcJJOI8nIC5zLgPgKD2emE+gXwO8qtj3V0wFzWieTGfHOeioVFOYsHeymr+oz3y\nsUrP7ZLXTpx9theiRQKZOC8H6FnW72ghb88H0eSrll0qIkY5SWA+YTyLGOWUF/PJ41kMKczX0SeU\nipgtgyQvaTwhzh/9mPhZnlFOAJGb3eRLl2xoNGkkj0Sfj10buwnM84lDu6zXQ1n9dWA0GU2Bf5ym\n6QO9vz69h/0nqaK5bcBpSgz4ZI9n2d0GrGmF//Kf+KnffhNr38sf/MGEzyL2EQFxaxvw/Lfew3t+\n7k2Zv2q2i+hRnsewCHg9yArCEvZWSuVGPpbwxgOv4GUIN3Y9/+BlgLDUnsDoLuS2eAEElQitm3W5\n5Z5fll58JMCvwcaJcbVOxvrhT1/FbmQzujKNTnYbz2K1DWIn54NmArtn+Ad61o98CeKkgduF+CBR\nzoZGMNlmqMfzRG4+pQQmD1mXUMF3HbIu5pflfMTuwuKL2ZQ5L7ddBm4Li9feMC/Eh3KPcoLJLH6h\nu5jb1geTh6wXogViGcxLceaQdZnmNrux+IZXyd3EajcWX1i8csb5rpjrua2ckzHPP8oJJrP4hXgx\nt8ULJiu0ejgvh/kEFt8Ip3OrY7ux+DlHOQG7j2eROdu7u4xtsBv5VfDYyiQie3XB+Z0PiZ09J1qP\nZDHPtpbq0nGePZ5FxHlOzHdp7GZ4EvZdY/J4FlMqzlcxJ2AunA/5Epckm3zu1f/nx3xSnAvM8ze3\nidyAQgb5rEfzuZ0PIOI8S5UXI9tyOh/06xPHsxhefofTrmd7W+Y+n4y5LeF2mYz5YSnME2cSEXlA\nqqFRVJwQ56Ec5sGEMUx6kD/Od1l7TlbTNP08kPUIzB4+L792U1Zl/gButc+k/X7WiTE/9F62dtlD\n7KMHxRyfSfz6O/7h0cxfNTsOZueWwZOe6dmQnWaWXbGGcDzmY2iWvuOFzOCxG4uElfzqWORm11Ma\nQf6ZdSBqbrIaOwgrZ141XdTWRcVxpsfwi8R2PsZy4+QVnHqhN4d3eIkRL/nY7q5+A2t8VId2TtNw\n6hpBJeflZmYzulpXzu4zaSSPUEryYx477cyxDUIdy495VMwezyLml+WP86DaRQ8yMPdKuVXwrjmZ\nxTfbVn4rZ/ZInoFGJzkxn8DiF2I5FXwCiy9l94HJQ9b1aEYO83KQyehK2Hd3ZfFNv5h7lFOyC4sv\nFefZQ9alRjnBZBZfjPuQwzxrVIceLUip4JGbPZ5F2PryOR+gN5In62EUVPPa+nZl8WVGOXXNq5PG\ns2C1Lbp5nQ+7xLmVc5QT7B7nMra+2Kmjh1lne/76f+jFeRbmoVych+Xs8SxCBc+L+eTxLKbvSmB+\nbdJ4ll5Do71iLud2mRzn+Ue8QA/zjGZ+spgLtW6874hQx/LHeVjOHs+i5x/xkp4/F00czyLcLnnP\n9muTyee2mWuUE+xytp8xe26XnO8Cax0jyMBc0u0yCXOlsz0T8/zOB4CoHKFPiPO8fT52Wd/OmtW/\nqWnas5qm/aqmaZPUyDxrkrIqm6zeap9xpVbTHgJ+5p+/lb8e60wh1Fld08hSM2sU4jK3ThAnKgaa\nhold17Eb+R7Vk1bl2ixGoCEaVN16RW52x1urvZ+wLPGlL9UxMuqsJBRRsU+5gx6Ps/iCQc2njgEE\n1QiNcaZHNDrJx6C++IMNoiJcfNe4Cmm1DBIr5+VmXcdqjrN7X/mpKqkGX/o7eTtPZjd80mI5dSye\nMKpDptEJTB7PIn3QFX0KcUYNrYQKDqLhU1bdtFBK8sVVqt/E9LJZfKtlklj51LFJQ9a17hSplr+5\nzSRGtxAdyN3cBiYzutKYT2jypQeSce5OSFb9/Co47MLie06emXWAsNVOYvHzjvWByUPWtWSOJOco\nJ9gFc8k4n8jiSzS3gcksvkxzGxCk1GTM88f5JBZfZpRTV1/qjeoYT17yjngB6Bo3M0tFtGQ/sZO/\nuU3XWsPwshoL5h/lBKLJ1+Q4z2/fnUhESvR8gG0iMgtzubM9qHSzSSmJ5ja7NfkScZ4vyeyaNzPL\nBmSb2yTmWmacy4xyAkisOkZm4iKH+cQ4D/K7XeBWZ7vcfZ6JuYTDqWtcxa5PwlzC7WLcxGyNvwkK\niZzbJTHXs+M83i+FeTwB80KYf5QTvL5xnkVQiFrw/JhPWN+uZPX/BY4D9wM3gH+0h70mqZkzgMwf\nwK32GbYBa9oM8JvAX/3Iu3kRqKUp6cR9tGQGrVtil2S0t3Z7oM5Q3IjQ0r1J5vueO0xQiXPXmsbF\nVazOONMjrKUSSom7mcn0GP5s7toxgKjYQg8yugp7ldxdcwHCcoCWjAeP1XJI7FyqVpqS4te6NBeP\njP2iU9eJShdzfZagciWz4VNiHcef6va+W7desX09s+GTHh2SUsG75jqGN465aC2f//EZ2xPYvWCa\n2MmP+aTxLKZfIbFkMA8zFVph98n1EBHKzQQW36kXSAuXcn2WrnE1k8UvRMfxp/Kr4BNYfPToNiky\naRKLL2rKJTB36pkKreHPEDv5z+RJNTdGp0KSs14QJrP4VsshyTFrjh3lZozF1x45q+FsFeiar+X6\nLF0zm8UvRMekMJ/A4qOHB6XifBKLbyhgnqXWGd7rg7nZqZDY+TGfxOJbTZuule9sP38u6jV2G3pU\nD2B+Kddn6ZpXsdpZncyP4dfyq2PJhNo6PTxIWJZ4fFrr6BmY68GCQpxn3edymMduh0KGcmN2yiR2\nPjUKenGehXnLJsmN+XZjtyFitIe5RmJcyvVZuhPUOj06SiCNecZ9Lon5pDgXmOdPOGKnkVkeZPoz\nxDlrRAGiopep1pmdcm5nEkw+2+2mnf9s32nsNkSqa4+c1XHqGl0j3xuuay5htSec7dX8ZFLXWs5s\n5qeHBwlLEpjbG+hBRvlLuED8OmBueFOvG+axBOYT1rclWU3TdCXtLeBXgO/M+n29Rkzbf71rwnaT\nFFHZZPVW+/SVWk3TELW4/4U0/R+I+tCSdk7Ts/bRNEysVhHopGfSWx1UO4mopjF6wc3gbiTkte+2\n9v1HwuJ4klNevo2wnP9BE5aWM+usDH+ByJX40hfXMb2sesopYjefZUN8nkYmu2e1SsROPhZM7ONR\nyLAT2w2T2LnlfMGdFVRjuuYQu6e976draAkYQb4gvPrwNQwf7cf/zPBjREuOENQk6ojKS9iNcUZX\nDw4SlvPXF8T2Koafhfk8UTE/WTJpyLrpTeW2WkOvEUxGgwirVSK282MuFNpJmF/KvY8Y1TGM+aMf\nm0ZL8o/16RpLmSy+HslhPonF18MDUphPYvFFnEtgbmUTFKY3Rezkd4UIFn88cbHapdw13DCZxbcb\nJol1Ofc+WSy+lsz0VPCcjZr0bBZfj44QVPPXEU1i8fVwkbCUn0CcxOKLucP5rVmTWHzTrxHb+TGf\nxOJbbZc4p2MBJrP4dsMkMfNjHmRivkBi5nc+dI1r2PXxt1QhOkxYlYnz5axSEfRwkaiUP8671hpm\nBuZGMEckgfmkODe8GsnrgLnZdnO7VGByqYjdMHITCwBhhkKrxYtCBc/pfBDN/MYx16PDBJX8cd41\nlzEzMT9AKIF5YmWTz0YwKxfndnacG15V6mzfLc6lMC+FE+LckIpzgfnwhIlCfIiwlL/Px0TMw8OE\nMme7eXMi5pHk2Z4Z5/6slFCQTBAcTK8qJQ6NCA6apr1L07SzPHOhxlf/4MHc+0xY35ZkVdO0wS/X\nDwLPZ/2+NE3PDvz12QnbbXfqHV2zQL4C63z7DNqAfxpYBH4BdupDm0B1wj4zuBt1tFxJ5uAFOJrY\nzeJupOS1N3/lp87SzbDi2/VDucd9AATV65nBY3hzUl/6qLia+TAy21ViGdbc3cpk8a2Wm5dNE/uU\nWplD1p0tHb/2au59wkqAlgyrbF39BP50N28xfHrxXQn+dEr98PCBKS63/MRCe/4yzlYGix/uJ5Rg\nzbvWTax2VrI6K8WaJ9Z65tgGs1MlcfKzabHTQPfH7cRW06Fr5qvthO3aunELubOlkxbyqWOQPaqj\np4jmxvz8OY/YGR/PooeHpRTRrnEtczyLHhyQUkoEi5+F+Qyxk/8snYS5rCIaOw2MIMte7+QZYr+z\nBKM7rpS4mwW6pkScl7MwP4E/nVspSc8/1qZrjo9n0cPbJJ0PS5njWYxAzvnQtbKJSNObJXYlMJ8w\nestsV6XUsdhpZDb5spoOXSs/gRgVvdE438E8MS/k3iersZsencCfyo95r7Gb9ujHhr/LenAbQUVC\nKZmg1gkVPD9pnJgTyGclzMfJZ6tdIbbzlb+AKBXJKg+ymw6JLObROObOZoHEyH+2B+Xxxm56dFwG\nc9HYLRlv7CbiPD/mXXMps2xA9/fLkcYTMDe9WcmzPRtzs12RSjJFedA4+Ww3HCkCMaOZn/bIWR27\nrkmd7UFlvLFbITqOX8uviKb6Cno43thNDw9JqeBixF5G0yjJOO9ay5mN3QxvhkgC89jazCwbMBXi\nfKA8KE3Tz6ZpepaHSxoPfOCXc+8zYb0eo2t+E/gicIemaVc1TfvLwC9pmvacpmnPAn8G+Jk9/CvW\nEern6JpBLlkd20fTMIHtpkjCBqxpbwE+DPxF0nSQLdlOUrM+zwzueoN8SeZgHeloMM9g1zXyKqth\n+TJWW9Pe/9eGLzi7tY/YzV8M701fxs6opzT8aSkGNSxez6yntNrl3PM/ARJnNbP5j6w6Frv1UfuR\n9v0/Kfb98t+S+e/y0NLhIn+tewRfQh0D8GsxsXt86Gd6cFCKQd04cRnT07S/edcwXoY/T+zKMKiX\nsRtZBMUUsSPBptk3sNrjjK7VKhFLYB47a5he1oPGJDHz2XQAomIDPRhOXB792DRaN/8YAICw4mEE\nw5ebEcgpogD+VIIenRj6mR4sSiqir+FsFcbUOsObJ5LAPLGuYDXGLWeyimhs38zGvF0isSUUUWcd\nIwNzp26SWJfy71NsYATDBIXhzZIW8iuiAEHFQw+HExcjOEogoY4BeFMJhejY0M9kFdGu+RrO5jjm\nejBH7Eqw5tYV7IwmfIZXI5ZgzRP7BmYnq69BkTifBROA2FnHyCClnLpCnI+QUlqyn8QStr+8K6z4\n6NGwylaIDkup4ADedJdCNHK2h4tSSknXfBVnc5yIFA0KZTC/ipWBuSmJeWzfxOxkJKutYl7bLdDr\niZGBuV03c9vrAaJiE30kzrX4ELGbXxEFCKs+hXA0WT1MUM1NJqXnz6Z40130McwPSDofXs0kn41g\nVi7O7atYrSyCokrsSBCI9nI25m03b+mU2Gci5gaJJRHnpRZ6MEz2FuLbel3wJdyDlQB9FHM5RTQ9\nfzbFn4h5/vd2Yr6GU8/A3J8lcmWEgqvYzSyCokoigXniTIjztktiSZDG7jpGBhHpbBkkEnE+Yb0e\n3YA/mKbpYpqmVpqmt6Vp+mtpmv5omqb3pml6X5qmP5Cmaf4/uPG1DozbCUSiNwasdk67TzunvTPn\nPjPAZq9esPZdl0iA3wL+Bmk6+oe7ndBm7TNLabVFjmR1qI60MGZ7nMVumOS0N6df/lBIWE5pzw+r\ndWZrH5FEB9Wb91/CahW0c9rw98Hs1HJ3UAWISlcxO+OXpNVyiCUOushZzmTxnS0db1ricnM2xti9\n2DkhVSMKEJWaY7WvhfiwlNUa6F2GI8pquI+olPtxlb7yvhB/KuXq248O/YLpzxJLHHRh6TWcrXEW\n3+pIXm7OVaxmBkHRciQfNMuY3ji752zqRGWZB80mpj+sphei43j5VXAAwnIbfSRZLcSHCSr5FVEA\nvxai+0eHfiapgqfnH2sKhTYeJkyMYEYK89h9DSdjDJPZqRJLqWNXsVrjDgq76RDb+ZWSxFnBHJ6Z\ntaOUSD1i3U2MEcxTTU4pAYhK7bFO0oX4kJQKDhDUorEHjVBEc7Pm6ZOPbfbqrIb/u0xP8kFjXsSu\njxORsjWisbWUibnVcPLWiIp9nBXMTgbmWwWpB03kbo1hrkcnpGpEoTdubSTO9UCuFhwgqIbo4Sjm\nUnXB6ZMfXwfQHv3o8J1leLJul4uZpSJmW65GNLGWsNoZmDdz14gCouQkG/P8NaKwjflwsqpHxxUw\n72CEw3GuhwqY16JxItKXinNSfYVCPK7Km96sVL1gYl7KjvN2RapGNLGXMDMwtxu5a0QBiJ1VzM7e\nakQBouI45oXwuFSNKEBY7qAHo28vOUUUwK/GFMJhzI1gH7FEuVxqXMfwx1V5w5OrC06syxPivCJV\nIxpb1zPj3G5YdCWS1dhZG8f8jInd1Oga+dX0Cevb2Q349VprjCSHmoYFuIw0M+qNF3kc+Jx2Tht9\nlI3tw4CVWEup/e5v8XPA46Tpf874HNvKavY+5Zsd8iqi22vq0vAlaTUX0MMC2zNU86ygmoA2zOKb\nnVm6Et23Vt+0RliCm/cMsyJmp5S7fT+AN3O5l2wPL7tu0ZVQShL7+mhtnfY9HxKHuYwimtirGXZi\neXUstusU4uHCcdEAIT+DChCVPLRk+JI0ggUpRRTAn4qJiiMPI19OHQsrF7Famva+nxo+7Mx2kSRn\ndzyAxL6E3RxXaO2GRWLnv5QS6zpme+jw1t7z8zNoKRRiCUuLszrG6OqhvDoWFesYIx0s9eCgVO0Y\n9C7JaPiSlFXBQWCuRyeHfibqgvNjnhZe7al1w6yu2S7SlbB4dc3L2BkKrd0wpS6l2B7DHC2ZI9Xl\nFNHYXcPwRmy30TFpzMNSHSMYJqVU4jysdNCD4YZsSphPJ+jRqeF9vCmphmOJeQE3Q6G1WnKKaGJd\nysTcaRhSiqhwYgyz+CqKaOSuYY5gXgjlFdEoA3NDAfOg6qGH45jLKKIA3nRCYQRzWUW0a76Ku5GB\neVtOEU3sXeJcglhInOuY7WEiUkURzY5zKUUUEJjr/jDxJ872/OoYQFD1M+JcyvkgFNqZLoWRpNfo\n1KRI4675Cu6mPoa53ZJTREUCNK7WOZKKaGzfwByJ80J8G2FZThHNinM9kqsRBdEHZexsDxalFFGA\nsOqhh0eHfibiPPd7e0CVH7nPOzU5RdR8JdOJYbXkFNHEvpwpOMgqorF9A7MzHOeF+IiYEZ2zO/Yu\n642SrI4qkNP0FdHBdRfCZvsc402d1jP22bES/5WnWKgEnAD+1oTPIRor6UH2PuXlALlROlC9OvyI\nrV47QOx6ubv4Qq/jbTx8YFqdKbpGbstjmpIQ1Lqs3n10eJ+WS6rlP+iuv+U1rPa4Quts6SQS9QWx\nfXWs421akFdEE2tlTKHVQ3l1LHE2xxRaSUUU6NmYohF1zJuVqi+AHubdYcwlGdT0yx8K8WspXWOY\n6LCaDomMOma9irM5RAxp5zRROxa5+TFP7Cu9JmUDH7Igr4jGzjJme5ig0IPbCCUxj9wNDG+YoJCt\nKQEIyy30YNhaKltHBNvKzSgpVSHJX1OSnj/nEZUYay4iWzuWWK9i14cx31ZEw/LeMC9EJ/AkFdHY\nuTl2SYokUw7z2N3E8IcfRkawj8iVi/Ow3MIIR+Lcl6sjAvBrQQbmZRkVfECVHyVG5TDvWq+OKjdK\nimgW5pI1okAvzjsjca6gjglVfoSIDBaklBLYVuVHLOSSteAAQW1coRWKaP44f/KxzV7d9DDZJhRR\niTg3X8XZysJck3vEWlex2qOYH8efklPHYmcZ08s422UxL25iBOOYS8d5qT1WNmAqYz6crIpOyRKY\nf3wdtPFaeatpk5gyZ/trOPUhAlvUiDbkFNHEvjam1hVCuRpR6DkxRjEPbyOQKKOBHuYjTgwjlI/z\nsNzBGC0V8aakMfenIvQo42yXII1TfYVCMq7K201Lqi5Y2JJH4vyMidWSU0SFFX0Yc5U4n7DeCMlq\ntu02u171AeArwJeBN4/82iRldSPUtVO/+ATFhs0HSdNJtoAt4AP8xNu+L3Of0nKEbLJaXB9+0JSW\nD0jNKYTtpgMjB2a7Sjdnx9LtFVQiwtJwAmQ3bbQ0/0G3fscmYRmufedOYqc9+rEahTh/B1WAoHZp\nfG5dKq+IJvYS5shIHj2SV8dE59zhA0F0UJVTSqLi1th4FsOvEbtyc3XDcmesWYDooJr/oAOh1qEN\nP4ychiVVF9xcFHXT7/2ZPrnwuY/MkGrw+Y9IqGPWZZz6sEKrh/LqWGIvYY2odXp0kFBiBBNMUGgD\nuU7J0FNu/OFHowrmQaWDPmJds1pFqU7JIDAvjDyG7bpcLXjXuIhT14ZmkmrJAl2D9I8/LFFDa14Z\nq5vWo6NSHVRB1FOOYa7ifHDWML0RC6aCOhYVGxj+iFrnTUnV/wOEZW/MlizqBfPXBcO2Kj8a5wZd\niW6aifka7ubwTFItXpRWRBPryphap4dHpDqoQq+GdgRzI1yUxjx2xtU6FcyzVHmhiEpiXvHG47yt\ngvl4rbxTN6W65ibmhbFa+UJ8WCiiOWfHwiTMj0pjLmrlh9U6URcsp45FzvqYWicUUblZkJmqfEdO\nBYftWvkRArHlSmMuauVHMTek6v+75oWxWvlCdERaEc3EPDpKqBTnw0SkEch1zYVerXxmnMthHpYa\nY6q82alJlVRAr1Z+RJW35DDfUWjHMN+S647dq5UfifNj0oqoqJUfbT51RBrzCeuNkKxmKauZ9arA\naeBFRPfhu/PsY+NvFFJ+85PvJJjx0md3+Rx14DDl5VLm5ynfjJG1AdvN4YPO3Vqga0o+ht02+khr\nb6tdQkvlDrqo5IM2cmDWddyN3GxamtLFr3VZO31054d6INU1F4Cto69h1ws9W3dvn/A2aUW0a1zF\nag8fmIVwH6GkOtY1x2toZbvmAsTOBvqIciNbLwgQlproI8qN1XKIJVhz6NmY+pYW7Zwm1LHYzs2a\np1/7yRhvOqWr9x/DenAcf1pSBXcujNXQqiiiiZlxYAb7pVXw2LmJNXpJerPEthyDGjvrGMEI5u2q\nVB0RiLppY0S5EZ2S89t9QNRND6h1O+pYWsitiKbnzwUElRQjOLrzw4LkTEmAxLqAuzmCeXhIqoMq\nQGyNq3VGsF9aKUmccRuTSpyLhjIjCke7Ih/nGaq8rAoOY6p8v4Nq/q656flzHmF5WJXX42PSimiG\nKk8hPCTVQRUmKLSStWOQrcorne3uxhjmZlvK+QD0VPmRGlrRQVUO8xFVXtQLyimi6fnH2mOqfCE6\nKq2UZKjy0nNEIRtzQ0ERzVLlTcnZsdBz34yo8pacIgqI/gijmMsqojCmyot6QTlFNH3ysfqYKi/b\nNRd6qnwG5rKKaKYqHyxIk8ZZqrzhTUsropG7MabKm235OaJhuTWmytsNW0oRhTFVXnvkjC2riGaq\n8noor4gKVX4Y80IoN1Jxl/VGSFZbgKlpDD5AJ3UC3k5WXwWOj/xaZoOlf8ePnvYN6v/sbdzKNlsH\nZjBbTtY+lFa2f0+e9RwAVmv4S2/XZ+nqkpekXUcPh+0NVsPF8PPbd6HXUKbfzl2rXXVwNzX2PSe3\nT1AL6RoDiUskXy/4yveuEzvw4vcPBo+CUlK8NFZDa/jzxEU5UiExr2OOdD81vZpU11yA2F4ZU2iF\nUiKnjsVOHWO44y123SSRUMegV085wOh+4edmSXXSP/6I3HcwqEUUkj67J+oF5di0lbuuYnho3/23\n+xeTER6U6qwIEDvjzUVMf15q1hz0amhbwwSF6ctjHjmrmJ1hckvMlJQkk4rjCq2YKZnfmgUQlDsY\nYb/8YFsRzTtTcnv5UzHaEOZHpZ0PXeMyVkvTHjnTV1dF7Zgc5ol1EXtElTd8uQ6q0Ku5aY02vaiR\nyMa5u4oxotCakt00oddcJBjF3KArUTsGPVV+oLmI7EzJ7eVPRRTCfp2VHsrNjoVsVd6Q7JQM2zW0\nrw/mo6q86VUV4nx9TJUX3TRlMa9nYi4b52HFG8K8P1NSLkH0RmrlRf2/pDqWocrLdseG7LppFUVU\nNBEaifNOTWq8HmSrdUIdk8dcH3FiCEVUroNqUPWGznZRI5pKKaIg6qb1wThXqAtOMhRaoYjKqeBZ\nddOSdcEAxM71MVXe7FSlFdHYHVflZTslw3acj2KuS9WCQ0+VH4rzIwRV+RpRb6Q/gh7JjVoDocqP\n1sobwQHCohzmE9b/8slqT50ZrROdZAM+CVwAXgNOjPzamA34L/OrD7yXT9/5k9/PuVS7ZaK5Bcxg\nBMXRfYBZiusaOZPV9Ex6Hyt3fhazPXy52Y3tBk75V+JsYnRGkt6mSXFVkpWrDNsbjvzxERIzTf/J\nJbkvrD/lDdXcFORrRNOUlM5cgjdz+84PjXA/sSSDun7qZdwNfaiG1vRniSRmzYFIep36sFpndirE\nEnNEIXsUgNVyiB05rGJ3fXCe1c58Qb8qd9CF5cbQkHUtPYGXf6bkzgqqngbAGgAAIABJREFUPoWB\numk9uo1Aro4ofeEDXfzplK4x+DCS6qYJQFd/dVyh9Wek5gtC75IcGQVgtuU6JQPE7s2xRhOiLlhO\nEY2KQw+jgTmicphHpSbGQJyr1AvCtkJ7tL9PIDdfEEjPn4vwa+mQjUmygyoAXWu8s7Xhy82UhJ51\nbUS5kZ0pCb3xDyN103bTkeqmCWNqndJMSehhHg5ifpxAUgUHodAaAzW0okZUFnOhyhfigX0kO6jC\ndgI0jLlKLXhiXxlrLiI7UxJ6qvwo5g1HqtEJjKl1O4poVzZZLbXQgz7mheg4gaQ6BhBWw6HGUXp4\niLAki3lPlY/6+xjBPmJZzK2L43EuOVMSRD2lPYK51SnLx7lzcwxzoYjuMc53FFE5lU2MeemrdQWF\nTsnQO9ujozt/rwcKmD/WJnaFbby/j3zPh6752mjdNKY3Q2xLvpOta2OqvNlWwXxclRedki9J7RO5\nmxjejuAwoIjKfXfCcnuohlZXqAsGcbYXBu9z+U7J6ZOP1Ums4akFIs7liPAJ63/5ZLW3Ri28M2Tb\ngBeBa8Al4NBgR+A0pQOgaYgvrKbN/AN+7v3/iL/9G//xXhJubeEVyqoeVchqsCQOUQn1RlvDao8U\nRjeqFCK5x3DkrmC1d2rrNA0Xd7PA1CU55SasrGN1+i3Cp187iTcr38HLrzaGRgEYijYAbyag0B14\nxPrzRJKK6At/cYuwDC9+fz8hMzpyHVQBOnMXcDeG1TqrVZJ+0HTN8VEATt0kdi9J7RPbq0MjP+z6\nHIlJ+sW/I8k2jowC0MOjhBV5zINyZwhzPVwkklTBQYx5GXzEipoSOcxT4zpGgPbnfrafIMrOEQWI\nnUvY9VHMiySmXFwl5rWxmaRO3aQrMbIBhCo/iLmWLJCY8opoVNwamlUoZkrKYx6W20Nz6/RwkUiy\nLhjGG03IzpQEYfc3O8PD2g2vJl0jKpSb0e7YrnziktFcREURHVXlVRXRUVVeV5gjCr04H8Jcbqbk\n9vKn4iFCU3amJGSr8mKmpCTm5rhCaylgLrqfDse5iiIau8MjP1QV0VFVXlfolAzjqrw65tHQHFrZ\nmZIgVHm7MazKm16VRLJGNLEuYY10sLdaLl1Jt0ts38DqjJ7t8opo5K4OqfKqiuioKq+iiMK4Km+E\n+6UVURCq/CjmsnEuZowPq/KGV5VWwbNUeRHnkvf5+NSCniJ6SWqf2F3D8AcxV1NER1V5FUUUxlV5\nPdivpIgKhXYQ8xkiSXv9hPVGSlYH1cwFYOhS0s5pFmK0zGp6Jg17/8ywzL69j6ZpwL9+nPcsP8aZ\nz/b+uVs9+uqAiZaWKIRzmsZgi/CF3iMn/8OxEC8PKi6ahobVKmO1ZS/JJezmINMzT2klxQglGzuU\nVjA7/T9ju3kSb1quXhAgqG5hDig3hn+QqCSXcAAEtQ6FAXbP7CwQFqUuJaHQzsaE1b5Ca7VqxEU5\ny8bVt7+M3ShoP/nmPqtr1x2iouSlNKzQaj/+Lh1nq4A/9YrUPrFzHavVxzwtnMabkWdQo9EDMzpG\nUJV7FEGvocyAQmv4BwlL8mzaSA0thjcv24hop+lAWugrtFarSmzLXUpd/cLYsHa74UiN4wGh3AwM\n7u4pJQX8mizmw/WUeqiG+ej4B8M/TlCVJ5PCchNjQLkxXyfMzY4K5klvWPsA5s2a1Gxn2LauDSs3\nzpYr/fiMrSuDyo32yBmz1zU3d42o+DxjmN+BNy3PmkcjmOuBGuZRuTGk3Bie6tk+jnnkyp3t589F\n+FPDqrzVrEpj3rXGnRjOlkOSv24fGFPltUfO2Nh1ja5EF3zYdt8MY+5Py5NJkbuOOdDNXA+OEVQU\n4nykVl5gLpdwgFDrBlV5EeeymAcE1WFV3mpWiR35OB9V5e0th9iSw2pEldceOeNiNeW65sI25v37\nXDnOi8Md7A3/6OuIuUqcD3czNztzRHLOpJ4qnw6p8nazQuLIKZDJpDiXxvzq8Nn+sRJmR5NqVgfj\nqrzAXCHOi+uY/mCcHyWoyJNJwokxIDL5i2pxXguGiEizM0fsyhELE9YbJVkdrTc9AIzK9/uBlfRM\n2u39/Y3ez7L2+XHgjr/Cr673fl+NfMmqWM5WBAwyagd6o1byMwimd2OkcHya4lqC1ZG0lhavYjf6\nn2XfM8cpxCkys1oBgup1rFZfuTG844QVOcsGQFhZG7Q3YLYPElTkmE8Av9Ycqqe0mnNEZTm7LIA3\nHUDaf9C4W2XCklSikF55uIU3A+2FPvNUXLPwp56X+izNxZcorvWVmxsP3E5QTdMvf0gSq9olnM0+\n5np4J96MfJIZuytDw9oN7zh+Tf5SikqbQwqt2T5IWJY/oMIRhdZuzhIV5TH3p6KhB41TrxA7csnh\ndlv49/x8X+UorlkkthzmsfPakEJbCO8gqKTpF35BjrWM7SWsZl+tM3xFzJ3VYcz94wRVecxHVXmz\nvUhYlju7oDcKIBiJ86L8AHG/Gg+Nf3C3ysSuJOY9VX5wWHtxzSS2vyG1T9caVuX16DR+LZVWx2Jr\naWgUgBHcia+K+YAqb3rHlDCP3Prrg3lpuFbebs4SuQpxXouGOt66W2Vi52WpPbrGFaHKf6wEPat1\ncdUklozzxLo0VDeth3eJxoKS6piopxw42/3TinG+huH1zy7TO0pQlX98xsU6xoATw2ofUMI8GOls\nbTVmiFyFOK8Nx7mjgrk5pMprj5zVKK0a0md7Yo5ifjfebFdaHUvs60PuG8M/jTcjn2SKOO9jbnjH\nCKvyqlZUrA+5b8z2AcKSnF0WtruZ999MdmOWuHhJep/RGePOZkkhzodU+R7mOon9nNQ+Yg7tIOb3\n0JlL0vNnJUdvWdeHauUN/w78aRXMv41xrop5OIi5WpxnrDdKsrqCUFO3V1ayuggMqpI3GVdWV36M\nf3s/8EvABzuU9pM/We1f7qXVze3Po2nYQIVCVEMmWS2uXcauO5rGtnpzgPLNQGoPEDV6dr2f9M69\nfBpv2pea1QoQVi5jNfvBY3YOE5TlakEAwvKNIYXWau0jLMsxnwBBZX1IuXHqVcKiHAsGEEy1KST9\nxMVddwiqL0jv481GeLOnAbT3/7V5CglYbbkgfOV9r2B4mvZ/3tuzonfvpjMnb83ypl/G3RiwPAan\n8KfkEl6AyLmK1eyz+GbnNsKKXC0IQFRcwWz349NqLRCV5JRMgLC8hekNPGLrNalZrdsrqHUw/IFH\n7LpDbH9TZov0/NmUzkyC1r0TQHv0o7PoIdJ1RKn+cq/pgIhzI1DDvGu9NhTnhn9SCfPYuYY1wOia\nnUPqmHdeD8zrGH6foHDqVWJHTpkACKY89KDP6Lrrthrms130cBvzfRQSSA1J5cb6Fu5GfxSAHtyN\nNyNvzUrs13AGMfdO4tdUMF8aIiLNziHCspzzBsYxt1sLRK4C5pU6ht+Pc2erSuyoxLmHEQzGuU1i\nS53twokx00WPTgO9eiuN9MmPyz3UEutFiut9zI3gLjqz8nEe2xdxtvqYm/4Jgqo8aRy7115HzAce\nsa351wfzuhrm/pSHPoC5IBClyKT0/NlEYB4KzAvxYbom6ZMfly0beInihtHH3FeL89i+iF0fJCIV\nMR+Jc6tzUBHzVcxOX+ixW3NEkm40yMK8ooi5P4a59Nnec2LokXDZFaJjxI6YSSyzEusl3I2B5nDB\nXWpnu3MRuzEQ595xfCXMr2O1BpLV9kHCsrw4FI5gbjXnpB2IAEG5MXK2V4gdOUfRhPVGSVaXgME2\nz3mS1TFl1aVz4+/zCx8Fzmqk3+z9uryyWr6xPvB59gMraBPraLOX6d2gciMGti+C/ZRWYkAueMrL\nL+BuWDu25NLyCYKqQuLivjQcPO39SvJ9VLw0pNzYjWkiBTYtKt5AH6i/cDaKhNVvSe8TljfQkqMA\n2gd+SNjxVu6WT1b9WofEFJdbbN9Da18sNY4HSNdPhbQXuix9hxirpAd34E3LWzbqh5+luNa/JM3O\nYQIlBvVF3M0+QWG19yuxaVHxInazb0WxG9NErkLCUbmO1e4nLu5Gkdh9UXofv7aJ6Z2CngWzuFbA\nm5FTxwA68x568CYA9PBeOvPymD/5WJ2wnGJ44rtj+LfjT8ljHjvPUFrtq3Vm5whhRZ5MitwXcTf7\n9bxWaz9hSa70ACAsXsJqDCQujSklzMPKTcx2/3JzN1xiWxXz26GHubtRILEUMJ/zMPx7ANCDe2gr\nYb5J7PQtqoZ3O75CnMfOs5RWBjE/rIy5M4C52d6nhHlUuow9gLnVqCnG+U2sdp99dzZdYkcec2+q\njtHZjnNXjGaxpB6xAHTm/R3MjeAe2vPSdrz0yY8vk5jsNJoTcS5f8xU7z1Ja7Ss3ZucIgQLmsfvS\ncJy39xGpxHnpMlajn6zajRqxK2eRhu0472PubjpKmPtTdUzvDuhZMO2GRmLJ79OZCzCCewHQgzfR\nmVPA/BNLpFp/tI/hn8JTwDwZw1w1zl/C2Rogn9sLhEUVzK9gN/eOeVBZHopzd8MhtuXfcMOYV7Da\nGl1TzjUD0J4P0P37gG3MFUhj4wpagvboR8T73/DUhILYfo7Sar+G1ugcViONRzC32gtERXkyKSpd\nwWoOEBSNKpECsRBWl7Hafcu2s2GTOPKYZ6w3SrJ6DRicQ6WkrP5//MiJVeZD4F8imjR10hQfkazm\nabAkVvXa1sDnOYCWbCe8MtaqFSrXu0P7lJc1QC5BvPO/XcLdgNmXBLvibB0hKsrbANrz38Dd7D+M\nrNa8dC0IQOy8jN3sW1qcrTJRUf5giZ3L2wqtdk7TKK2aNBblH5+Ru7zTFKQzd5rOXJq+9H55W1VY\nqaP1Gj4VYjVrFoA365NY4mFk+mp2vOd/ZJWoCO6aOBTMjprtNph6htJK/8BUtd2G5ZdwNvsHprNV\nJpK0YIJ4DA8emMU1k8iVxzyoLmO2jwI9e81Umv7Jz8lbbPzpOuZOknkab0a+hhugvRBQiMQlaXjH\nCRSs1l3jMoUY7dGPijNNWDAVyKTSc68L5lHpZdytvkIr7HjymIelS9iNA9CLcxULJgxjrmrBBPCm\n65jenYC6HQ+gvRBi+A8A6rbbrvkqeqBpj35UEEGWou02dp6ntNp3YqjabiP3ZZytPhEprNZydjzo\nPYYb+2EPFkwQmFtt4ZrRw7vwZuQtmADedKOPeXBayY4HIs4N/0Gxj3dMyY7XNV/CbGvaox8Tf86m\nou02dr5Bca2PuartNnJfwR3AXMV2CxCWrmI3F2HHam2QWHIWTICgtoK5g/nddOa60hZMAG+mgdG5\nCxB3hHKc7xuM86NKttvEehG7oWmPfkzcoaoWzNj5BsXVvuCgaruNi6/gbPbVOhXbLUBYujaCubzt\nFsCvrWK2hWvGCO+hrWC7BYG56Q1gLk8gpufPprT3RRjB/QCY3hEloSCxvomzVdguP1DH3H2B4lpf\nlVe13UbFCzhbfczdzRKx85L0PmH5GlbzIPT6c5TWdGJL/mzPWG+UZHVHWdU0HKDE+Oia/YgEdXsN\nK6ua9sh7ePzuH+B3v0KapgwnvHkbLPV+95UWfWX1AMXVNaCZnklliuKXKa4WhvZx1+2R/4ZbrvRM\nGhOWExa/JtQ6u7EoPSMOhCJKivaDPzbX22eKxLokvU973/MU1/qP4eKamu02Kl3AqYvH8PM/vI+u\nCU//hApjdA2r1fsepG/Cm5V/wAKEpVUMv8eaB2p2PAC/1qDQs6IYndsIK9I2nd5on5CuKZhhq7Wg\nZNO5+tCLmB1Ne99Pi0vSrleVbLex8zzFtf4lWVy3iYvyCkdUegWnPg2gvefnFygkoCHXSAEgLF/F\naoqkTtQRqWHuV1cxO+JhZHqn8GvyNh0Ab7q5k/RanUME8tYscUkuRBi+uCSt1rwS5l39eZytws48\nW7teVbLpxPbzuIOYr9lKqlZUfBWnLi7Jz31ExGlqKKgB5Z2HEXpwt5IFEyCorfUx908SqGI+08To\nJUBm5xCBvDVr4GEkHsNWWw3zxH5eWNF7nXOdrSqxq4C5+w2K633MFWy3gMDcrovGblp8iK4ulEnZ\nFZaXsFoCcyO4SznOBea9x7B3Qj3OZ1p9zNXseOn5symtfTF6LwGymmqYx9azFNf0nc65jmqcu9/A\nXe8/hoUFUwXzCzuYF+IjJBbpkx9XKDMqLWG3eqpWcBferBqB6I9iXlUbr+HNtDB9kQAJq7UK5gmt\nfQl6LwESdfvy915sP0NpVd8pORG2W3nMI/cF3I1RzBWEgtIA5tEJYjeV7l4P23EuMNf9O5UxD2rr\nO5gLe70a5p3ZFoa3jblinJ+LaM8nGKEgsYXtVp5ATOynKK0MYL5Vke7VACLpddf7IpOCvR7one2N\nbcxPia7Wj6m9lUfWGyVZvcaw7Xa5N391cI3OXr3JdrKqaTXgN36Fn/jHr3Fiu55yMFnNYwP2AJGM\n1i77DCqiU5e3kK01hXWsloHRERY4wzuI2bGRnbMKwtNfWhHBYzcW6BrSSV36wge6NBcjuuZbAChu\nlOka8szKpT/zTbRE0/7mndM7ttuNU/Jf+sbBpymtiAMzqN5LeyHOwPzWy6+9hLspgkePbsebVhtQ\n7E9dxW727D6dI4RV+YsWxIggIxCPYVXbrfg8bQqReBjZjSmiorQdL734roT2QkKqiUvS3VSz3bYX\nxCX5/r9maO/7KQtns4BfU3jQOP0DU0uULJhin9KrOL0D0whuV7Jaw/Yl2cc8UMQ8mFrD7IgGEWZ7\nv5IdD8CbbWN6wpbsqFmt0/PnIjpzCakuLklVq3XiPE152dAeOSsalThbBaVkdfCSNIJ76MxHypjb\nDXG2q1owoYd5s3cmK1owYfthJIasW3vAvDPbwfC2iUglq3V6/pzXq9ETjg5nw1Wy48X205SWzR7m\nPdutKf/did0XcDe2MVeyYALbmAvV2fDULJgAQaWPuaoFE8Cf2hjAXM12C+DNdTD87TivETvSFsz0\n/GNt/Kkueij2cTdcYgU7Xuw8Q2mlh/nHSthNja4l/y4Q5Qei5EQP7lGyYAKEpdcG4vyUMmkcDpSc\nmJ6aBRPAn9rE7Ajy2WotKNnrAbzZPuZ2o0Ykb7tNzz/WxK+l6KF4C7rrjhrm9jOUly3tkbNC7RXd\nblUSoH7JiRG8ibZynL+2E+emr2a7he0yo+04V+vPAT3MhS0Zq7VPiUyCXsmJJwQHRxHz7TKjQig+\nj7sh3asBGCoz0h792DSGj/RsZxguMzJ8tf4cE9YbJVldAg716jIPMmz33V4zjCer2zbgDwJf+Rn+\n6f+kn2QO7nPLZLXXsEj8nqnL0dA+0682kUxW0zNpQux4TF0Rj9jq1WMkdiM9kyrYG6a3KK4L5cau\nz0B6SXoPgPZCm0J0r6ahUVmyiYpfk90iXT8V0jiUsH77A3iz99GZ76bf+IA8E3bhe57Fbuja3zng\noof30J5XSzha+5+jtCIuSbN9Cn9abeaTP/0K7oao47BbtxFU1S6loHIdqynqOJytecKKfC0IiAPT\naotL0l2vEJbkH40AnbkOhfge7QM/VKC0YhJUn5XdIv3yh5r4Uyl+9U4S+x68mW76xb+tMPaoJi7J\nc5qGEbwJb1bNmhW5L+JuCLXY7JxUsukAROWLOzV6VvuQkh0PICjf2Lkknfq8Ug03gDe1iSFqcXE2\nykQKSSaIS1IPe5ivGiSmtDUrffKxTaJSSiG6Az28p2fBVGku8sxOvZbh3a1sx4vclwYwP0FQU8S8\ndAm7V6NntQ4SltXIpKDar8u063PKmA8+jNyNslKdH0B73sPw7hPWrFWDxJaP8yc/vkpii1pcPbhP\nWDAVbLeiFreHuX+3cpyLuswe5t4eMC9e7mPePkhYVjvbw8pNrJ4V3anPqRCIAHhTW5idAcwV47y9\n4GP425grWTDTJz9+g64h1FAjfEDZgimS3u04vwtvRu0+j92XcDaF42ovcT5gRe/Fuep9fhOzJRxX\ndn1WqYYbxBvO7Ig3XHG9rJRkwnb99f2iV8O6TqJgwUyNazu1uHpwP535RIlAjJ1nKPbqMg3vLvwZ\nNTIpcl/G3cH8uDJpHJWubJecYLUWlYmFoLKM1cPcqc+oJJkA+NNbO44rd72ojLkoP7hfe+SMjauI\n+WCZke4/QHtBTSgQZ3sPc/8uZXEoY70hktU0pQWEwDRwEsiyNswynDCu9X4G8JeA32C49nVwnzzK\nKju/p7KUDu2z7xubyCurEDtblG8IW0Jp5RRdXd6+CxBMreBunNQ0NEorU5SXn1LapzO/jtk5zdv+\nySkKUcpbf1nt4G3tb9HV76cQP0z9NqUva7p5rE7jUJfVO+/G7DxAe0FtVtPSdz5FacXSzmkGTv0O\nOrNqB0t77hsUV8XDyF0/hDctrxwCdOYvUFoV1rXy8gze9FfVPs/CNdyNk9oHfqhA9ZqDN/vHSvt4\n01sY3h00Fx8gqHTTz/9dtcd5e95Hj+7H8B6meVDtgPr8h8Ul+cW/dQi78QDtebV4iNz+JWnX78Cb\nuaS2T/El3A1xSRbXDynZ2aF3SdbFJVm6OU1Y+VOlfUTzgqMC8yWH2FXFvIHRuZPNYw8SlrtKFkwQ\nDSsM/36spjrmXfMieig679pNdcxj59kdzN2tO/Cm1c6uqNivxd0L5uHAw6h8c5qwrIZ5UF3BbB/V\nHjmrU71qExXVMPd7dZm6/2aCWlfJggn9Wlyr/RDNRTWFo2u+guFr2qMfncVu3k9nTo0EipxnKfZq\ncZ2t2/Gn1M72qPjSTi2uu36QoCrvBAIIy/0EqHRzmrCkdraH1RWs9jHtkTMmlSWLyP2c0j7btbiG\n/1a8mUS68+n2as+HGP6DmK2301LF3HoJqyVqce3mfXTm1M6c2H1uAPNTeKqYu33Mi2uLBJU9YN4r\nPyjfnCIqf0Vpn6C6itk+pj1yxqZy3SQufl5pH3G234Xhv43ObKJiu+2VnGzH+dtpHlCzxSfWN3Hq\nmmiK1LxPOc5j57mdMiNn69Qe4rxfc++uHSSoqtVShuWrfcxvTBEqY76G2T4uML9hErtfUNpHlBnd\nheE/RHshSc8/pliLuxBh+A/uEfNv7NTi2s17lTHPWHtOVjVN+zVN05Y1TXt+4GczmqY9rmnay5qm\n/aGmaVO77ZFzXQBuB04BWZaEUWV1HZhF004gEtPPIBLYgqYxN7KPTLK6RXUpBW7vKb2nOPBUC5Vk\nFZZxtkSS6W4eRQ/l6xQAIvc17MYxYIHpixqzF+SL2AGC6lVM7w7czYdpLnrS42+2V2d2hULyIGb7\nzbT3qX9ZmwfadObfiVM/TWdOvpYS4Mo7r9FeSPnmn38TxfVD+NNqB1Tjtj+hfNPVPvBDBco3Z/Cm\n1Q6ozszXKK3OaT/+Lp3Kkk1zUfUh8i3czaO09j9IUOumf/KzijbDuSu4W/egh++kcUidBWvvW8du\nvg2r9SDtBaWEI01JqR/2KMSP4tRP482oJRzL934DI9C09/zCEYrrt+3h8fkFqtfKosHXzRnCitrj\nM6g+RWl1QXvkrE7tmkPkflZpH3/qJdyN4wNJphqx4M1cxam/CbPz8J4wb+3bwG6+Dbv1IO15pcdn\nev5sSv02H7P9bpyt03gzag+RxH4Gq13QHv3IQdz1Q+qYl75A9ZqwqJZvzig/RMLy05RW9okk85pN\nVPys0j5+7WXcjROYnbf0kky1R35n5hpO/R7s1jtpHFSvIWrt28RqvQ27+SCdeaWzPT1/NqVxW4DZ\n+bM4W3fgTati/jR2o6A9+tF9AvOa4uOz9EWq14T7pnxDHfOg8gyllf3aI2dMqkuWOuZTL+NunsAI\n3oo/nSgTC97sEnb9XszWO5SJBYD2/k2s5tt7ZJIq5gmN20LM9qM9zNXu89j+U9wtXXv0o/MU95Bw\nROUvUV0SdkVBJn1JaZ+g8iyl1QPaI2fsHuZq97k/9Qru5smBJFONWOjMXcdp3IvVfgfNRbWEA6C1\nfwu79RBW4wE680r3jMD8UITVeTfu1u3qmDtfxV3XtUc/OttLMtXet2HpS1SWhOBQuTGljHlYeZZi\nD/PKDZNIkTTewdx7B+15JWIBAG9uCbtxH1brIZqLansAtA5sYbUe6hGIipifi2gcjDC9R3E2T+FP\nvy5ja+D1UVZ/HXjvyM9+AXg8TdPbgSd6f7/X9Q3gbiYnq6PK6hZQTTR+FPgt0jTq1Ty+kLFPngZL\n23uuYzddIELYjE9x4Ovy81EBzM6rOFtHgH1UricYoZr3XQ+fwa4v4myeprqkAWpDeNtzX6O0fAJ3\n4zvoLKj5+QEah75Jce2+PT0+AeqHr2A330lx7RCeWpKZpqRsnKjTNd5H+eYMnVm1h8hzf+k1vNku\n8DCVGzYbpz6rtI8//UdUrxVZPf0WvJlu+qd/XZFtLH6R4so8erS3hMObeZri6kms9oPK6jVAa+EV\nnM37BeaKj0+A5uJN7MY7cdWTzPSFD3TZPNrCbH8PpZszBBU1zLvGs2gpfOHn7t5bkln7NFMXK1it\nNxNU1JNMv/p5KtcPYHYeprmHhMObfYbi6u17STIBaO+7gLP5wJ7jvHFwBafxXXtJMtPzZxO2jnaw\nWu/dU5KZ2F9HDwvau//eXXtKMoPqp5i+WMHsfCf+lHqSGUz1MW8c2jvmlnqSCQjM3c037ynJBIG5\nXf+uvSSZ6flzEfUjHlbre/aUZCbOVzC9gvbuD58WCYeikhlWPsXUpSpG8Fa8PSSZfu0LVK4vYrbe\nTuOgesLRmXmW4uode0kyAWjtexVn88E9JZkAjUMr2I137SXJTM+fi9g64mO137unJDN2voTV1LV3\nf/gk1SWLWDHJDCufFpj7b6Mzp55k+rUvULmxiNV6B82D6gmHN/MsxbU7sBoP0F5QI7AB2vtew9l8\n856STID6bavYjXftJclMz58LqB/2MdvfvackM3a/gFPXtXd/+Pieksyg+hmmLtdEkrkQKzcQ8qe+\nSPnGwR6xIN8tfnt1Zp+nuHZaJJnz6pi39l3E3XzLnpPMxm1rA3Ec+KcEAAAcXElEQVQuXW4yae05\nWU3T9POMzwZ9P8J2S+9/f2Cv/x5EknkPcB+QVUA8pKymZ9JES2mk8KPAvx/Z5wGESrvdKEBGWV3r\n/bteAL4faFJac1FKVv0LTL8WAu9n7qU1xsfx5FtTl88zdanGga8/SlDppGdSta6Ia6c/w/Rrc5Rv\nfAfNA2p1MgAbpz5PdekItSsn2TqsdrAAbB19lvLNe5l5ZZ6bD3xKfZ9jF6le+17susXVh/5IZYs0\nJWXtjg1Kqx9l63CcPvcjaurhlz90hfZCQu3a32PzuNrFBtCZ/RS1ay6l5ffQOKhGcgB4M+epXpun\nuHo/7Xl1zP2Zr1NaOU755gk6c9K1zjurM/8y7sZ9TF1ewJ/+rPI+rcUbuBvvobrkEEw9obJFev5s\nyubRJpUbf1fY6NSSzPT8Y68QO12Kqx+ifkT9IRKWP83UxSLu5rtoHpDvjL29/OofU13aR3Htfjp7\nwXz6aUrLJynfPI4/vUfM1++ndnkev/ZZ5X2aizcobryXynWbqPikyhbp+bMpW0ebVK//PTrzcfrk\nx6U7NwOkT3zyRRITSit/g/ph9YdIWP4M0xdLOJvfRWufepwHtc9TXdpPce0+OrPyDXK2lzf9DKWV\nk5RvHMefUse8Pf8K7sYDTF2aJ6h8VnmfxuJN3PXvoXLDIiqeV9lCxPmxFtWlj9Cej5WTzMT6JqkG\n5Zv/B429YF75FFOXyrib30X7dcC8tHofnVn1OPemn6G0ejuV68f2hvnCqz3M5wirSlgBgtB0176P\n8k3lJFOQW8faVJfO0tofKataif0cWgLl5b9K/Tb1+zysCELT3XwHrX1qDjvoJb1LByit3os3qz7f\n0pt5tof5UfwptRIGgPbCBdyNB5m+NENQUTqTAUFuFdffT2lFOcncITSrS4/RPBApJ5mJ/RR6WKC8\n8pepH1LHPKh8mumLFdyNh2jvAfOg9gWqS4uUVu6hMyPfXGl7eT1yq3L9KH5NzUUG23H+ZqYv7g3z\nkfXtqlndl6bpNpO8DOzb7TfnXF8GfhihZg6xcto5zQIcYOjL98hF2nGBLvD1kX1+HriQpjS0c5qO\nGIWTh8GsI/575nv7nAX+hHELct51hf3PrgPnOPBUHVCzPc6+8jVmLkB16afxp9RZsKvv+ByJXeDk\npx6kM//7yvtcfPR3KC1XWPjmFFcf+nfK+1x/y3/hwNMnaB2A539ErYYDYP3UeQ5/8SFuvLmeXnxE\nPVnYPPYcRz/3Z1l90yXlPQBW7r7G7b//fjaPK7NO6Rd+fpWNE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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x5746310>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "(synHat050to100, sHat050to100, sigma050to100,\n", + " syn100, s100, l100, b100, sigma100) = hw.additive(syn050to100, m, alpha, beta, gamma, phi,\n", + " yhat0=syn050, l0=l050, b0=b050, s0=s050, sigma0=sigma050)\n", + "\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t050to100/100., syn050to100, color='blue')\n", + "plt.plot(t050to100/100., synHat050to100, color='green')\n", + "plt.plot(t050to100/100., synHat050to100 - sHat050to100, color='red')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x5042d90>]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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BZqr/SB57NUIp2vm9Su+fxVXwmep9VbYxypH2MUOKBuVIiZrPbHl8nOye9nLi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XxOgLw/P++j+wunD/n+iJe+DvnRMbu3eVvddTuTv5dlRP7Eeu15aKF8A/BylLrnLYNyLutLVwCF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GGGM2MVUeV+WVdYb5Gk6h5cF1RcknvsqTf3gH6Zb/sa4449e9h1/87heY3f5v1xNGk3o/ENOk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\nAABJRU5ErkJggg==\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x4e84790>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "(synHat100to150, sHat100to150, sigma100to150,\n", + " syn150, s150, l150, b150, sigma150) = hw.additive(syn100to150, m, alpha, beta, gamma, phi,\n", + " yhat0=syn100, l0=l100, b0=b100, s0=s100, sigma0=sigma100)\n", + "\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t100to150/100., syn100to150, color='blue')\n", + "plt.plot(t100to150/100., synHat100to150, color='green')\n", + "plt.plot(t100to150/100., synHat100to150 - sHat100to150, color='red')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x5078710>]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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gm4+cSQ1v5DIj2R3UiKQmGe03SP2Z8ZA/OqLUkqBZPHDHFTJ/1n3O/AP8vr6h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\nNIcbsx3ccJiTU5M4gtn9eV2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PftFk+VoHg7MgUOOR34qA6/Kq7AFPcf8f69/DysW9lzc2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cPDJT9fxj2DUaCNPwhR+l3kFwae5cLHU6oTqD5brzoUX9frbF9OqWLezzz/MIv+pKC3BhrDq7QO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\nkttIOei2ND0XO+c9t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fvctmBjABOcHOwEchltganSrOtqTJZpHDB6xfsz/1j/+oyumAzj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frB2ziiEA3LhFPNikyXWhasGo1vrnsOvAleVnTSso7NDXPyh/2Sd3XzsYdeI2Km8ARtevoxQO\nbuQweFW2kJ8Fcl98PcObu6QNXHDdZFmA9YvdaDcakTeY0YElrVnK6kHWCzu4cRON/5z2dFULv1vk\nojUDo91jOAOjl+mcNB02hzOZ7vnaZCE7AbZPjUuKh7+9wXXgIhh9nM0iRd6sz586D0Y3PYSVMe93\nG17Hdr83B6Nmo30R00X2gWvcfdqh8Ya7m7IKRueHzUDkcm9miYsaEW2Zf0NacT9GO+tgNB41yYo8\njYi52IzMnQHx0EGqaJldHVuN8DJ/h6QBiMz8OU66DkadbEjabsJo2sGokwzIW/LPWLuhFYx6cQft\nyA8j2o1WwahSOHihw/aL8mci8yO8ldnTwat75F5ezNzLX88qM+oHW2hhlNv96zhz2rPzDOIlencj\nmj1X/P/tvXmUZNld3/m58ZbYc8+srOqq7upN3dpbICSQALWEDAgQQmIQ1hk2MUayMR7DnAGDh0N2\nMcNgWyOOZ8ZzOMZGrIMA26AjPAYkLMmIRUJ7t7pbvVd37UsusceLFxF3/rgvKl5EZnXnvS+6Krv0\n+5zTpzKzsm6/yHzxfvd7f7/f9wfUWH70CeAeTG/lSIxmzYwu4pYZPcOoisk8L1z65kf8AfAW4Hcd\n/70wGx7D3FsvIpsYnTa2ul5idBQbPw38Y+BJLr/Yw/69107mlY4OX9aIqk3sDmo7tJdzpGK+OqFy\neHGJ1tr+D4O01yYupT1IDF5cJJrf/88nvooYzfXyRHMWbRFhtGe5rxcFRHMuh1yTl5Ph3/6EUupL\nSqlfV0rtNiPYHx3CFuwlIv1OBZ3bbynqyOZ9j/Lafp5c33Z22fT1lAjamqC7XwHYTcToZOAuX1yk\nX7Aphxj1wk6eIvvdKkPPxr1qlIG+so4ZMxPlCZs25goN8rXp8oPVZC6anRjN1z3GYvQopU0XMbrX\ng2weywdZUu7YYXzqswpccpwP+gxwqzqh5jGbWtsxIMLBIi1GjwGnHdaYyFAkfToedgEOxmXpaWzF\naCP5N08zLgM8R79YxlaMtlcG7BKj63ZZqdZaDa83GipouAAAIABJREFULXDm6M4rq3V61S67fzYV\nojmbdbr0KjmG3uT1dBcWiUvDffcKb99Ww+upXa682luwymgO8g38aLdngBrOMcjvv59x6Lf2NMLI\nxSUG+3YsTkbN7OnKHqLV/jcjQ69LbldpdomwqQk6+78enYt2zT0tX1q2cgg219Mh35wayWLtpwBK\n1wgb6fmgaxQ3bf0UAGrc+rGnMRme12BGezkfsqY+X8b+AAzMM28Uq03fvI3YT6E39KeAl2EM2ITr\nx6eA1zO+v1yYHn3mkhm9WpmufTWB+Xcfwhg//hEmiWMvRvuFi4xbc9boLNrN4Dax0We6KmEQ9BhY\nGAZBh15ldxLJ6xXoLO1fRPaqjT1def1enu7i/tcZ5Pc2QvKjgPayy9zhCVzF6K9iSkjuwZRwvN9x\nnTZBS7GnGO1W9j2SZeyIt9fpb0Cuv98beyRqp9exc8EdZ1gnTxEKO8tWQ8bHZcPT5bVVmxIixgO5\n0zd1nqAJQdcmwDXI1xWTAW6FoG17AlUnaIeYBnoF3E717Dlmlxl1Of1NP1jXsO99GHE/8AqSE0dH\nQSscHNJi9FaMI6QtW0wbm8Cm5VBv2LtM1zZwj4L205jXcxvmNTmI0VXNbjFqJ7KjuSbo3FQp0hzd\nhRx2mdEuarhbqHfnvf2uozVD+sUh3fnJdeLyUuLuuz8G+Q79wh4VP2o+GYa+z3XCBrk9ek9Vv0o/\ntBOjXn+3GPXiIkPfQox6bXJ79B75UYiyeOZqr71HaXYlOZje/72jvQ5+NPl+yNeWGYT7/xkD6FyL\noDX5O/c7lX0bFo5Qgxphq6TUlUPxQxS3B9hviOvc85sXMe/NH6B4+S8xB+22h1c7TG6IXX0QrmRG\nMRmjTAesekM/aNmOI8yeT2P27+8A/tJxjbNMjohxEaNNzPi09HNuEfs5tqO94H8B3ga8D/uDWoAW\nvcplxocvq7TXuti2sOwWo8uJA66dGI2qE2JUnVCKXJy3yrB2F+p40V4+OAHt5f2vMwivIka7HvWj\nmcXoXuNHnhOt9ZWNulLq3wN/stf3KaXuS336Ca31J6a+ZSTadv+g/KgMar+lSB28aG8x6vUC/H0L\nrh65gSJsVKb0X5mgDfufz9XB78K0GA2bi5aBspP8f6fFaBmUjUtrMwn06dPoOQo123EOjWQg92Rm\n1I9C63VMun+IeaPdxsLJy+zObDwXe4lR68xowllMoH0c935RgK9gxMsbgc85riEcHNJi9DbgdxzW\nmD79dSnRhdmU6XYBj6jyEPnmW5Nrexzz2uzEaHNdM2lsskJzPcAq4Oba9AtdwvY84+frEu1V32qd\nXrWzyxF1mKsSze13PFiyTmlAXJ7MkvXzC8RFm2xbh7gEQafExGsY2pXX9so7+N3dMTo3qDCwKq9t\n7dl76sVFi1muoFWLXH/aMAj8ro8a7L9sU+c65HYZIVUSF9z9/86HXmuXK2/YXLQcyQKoxm4xGpXJ\nxXalZ4o6xctbmDjyFLBGvgYuh6ylrSJwH3AH/2z1ItB0ONicrhxawc3DIJ0ZvdVxDeEAoTWRUvwv\nwBGtnap9ICVGE18T67imNUOlrsS10TNkGftsbQ14WfIe+TCAus8pM9qgvbJD9fy4aq921FaMdmgv\nh0yLUVO9YylG5zWT7+Ei2hvQL+7/mdJeruFHE4eRpmxYeTQP7f8ZN2WEpJS6lxzfwjcqRfvN79z3\nOlfBKTOqlEo3s7+dq1h0a63vS/33iT2+pYPf2VtE+t0yWu13E9HFi3OowV5NugFhc18/cL2hNf38\nkOqZ6bKBMn4b9n8jGXE8PSA86MwztJjrZmaXKabFqBfZus42CVo5Jjeyc0n/p82bo0nQ9pncgK4m\nJWB2mVEjjB/F9C3czvJj9s3mZpM53eC9jFs/S9qkwTkzmjgGfg7j4Op64igcHE4CR5Nsh+tGrAnk\nlWIkCFzF6MTmMtkAWGU0r4yIefoNjwJfgykF/Bz2JU0tdm7JMWlsskpzPY9twI1L0yW2i7RWfGwy\no1G1ncxnHBOXFohLfatRPHElZhBMilHtLVhlNI0rL0z3niptJ0Y7S9t7i9F+iUF+/z+bQVDDi/bI\njEZ5hr5NRrNBLt7D3C/yyPX3n8nQucau0uygVcWP9j+DFQDVxO9Ox9gFy5EsgK4TdK6sk/Svlghb\ntu/RBuXLO6TjSL5h24sNyaGT1rxfa/4RbiW6MLtDsC2gkIxkETF6g6A179Oan8qwRDpjvgC0td6n\nOeck0+XkS9hnRkd7yjQumdEG9aN1xq/rFjbv7mL3Ho7oLPnoKTHanY+wNwmcrmis0s/bzOCG5voO\nfnc64Veinx8yDC1HxIw9A7TWn+AX+BVeVx3A/f/Xvte5CvsZ7fJB4G+Au5RSp5RSPwr8S6XU/Uqp\nLwFvAOcbukNwFTHq9Yoova/AZAZgewNKmxMn40qh8CKPfN3CMSroU9ye3Izk4jJBd99lY3pDD9A5\nTb42Xfozz8Dq1LaV/Hx2u+CqoU0pajMppZ3MjIaNIXZvjgZ+J8C4ihq87ipKK8BmszZ6cIxKWl/C\noS9ai9HkFGw6W5RFjI5KTlwa8dP8CuaA5o8zrCEcAJKZbE8AX48Jkqcc1tBMloG73qPT9/o80HSw\n5a/zoQ9cwmxU342Z02srRhvsHPeYLNNaoXnItpywTVyeHBel1VJS5rR/YRLNt8hNidFBuERcsivZ\njEsx2ps8jNS5OfpFm+d2h94errxqWGWQ3/9rahzZTMaUTJLrlxmENr2eO/h7zJn24jyDwEKM5mp4\nvd1VTEHHI2zaZEYbpronxeKTK/TzQ8vyzXrS25m6lvY82spPAXKDHYJOep0F8vUeuYF931r5QoO0\nS3XQ8nHvfxvh0kMH5pkzWbngIEaTODsaNSNiVBhxBrgpabU6ipufAuwuJ1/CPj7uVTXkkhmts3ln\nm3ElwHEuvqyHRUzTGk13oQMqrSOW6C7G2IhI6NBdgMnXtUivardO8/AOXs9TJ1TaVK+SOLtbtMJU\nmni96cPICuZ80u6ZuwfPWaartX7XHl/+QNb/cUInscDfW4yi91+KOgj7FHYWjY64QpGgPcTv7f8H\nNQz7hM1JEVk9s8jQH+pf7FkMGg8HlC8tTcQCP6qiPZtT2y65viJozU/sa7yoiBrYiNGREUb6pl4g\n37AdydJI5t6tX/lK2FxDq5a+b2hTQmRKBcP6g/Tm7gWOcexTddwC7qiPbuRyOovMaBbrevSG/hCm\nkV64Mfgi8A+A+x3nscH4/jpDtjLdu1OfL7K30/lzUae9VgF+CXgN9+nHMLHARnA12Dkekjzg1AkV\noJmnu+hhld2iQzQXk96MDL1Vuos9q4xmd6GJF08KnKG/QFy0E6O9cm/qRBtgziajqTWxek8FOguT\ncUQNy/QL+//ZXL57i6CTUydUbkKkeXHBTowGW/jd3UZIXhQy9C3cHXM7BJ0JMaoUip9uK5Yetzi8\n0/WkumdM+eKypbkfoGv43cnfud+dY5iz2xh5vS38Tvp6lilu25bUATSonGsxjiPHCToNsnshuPTQ\ngYlh66nPXZ87YGaCvgwzDmTPtizhq47RfT2HmSDwtOM60+Xky8wuM2pfpnvxFV3glmTW6C2cu+cz\n1ut0lppM+0TYzuCGDp0lxfS+PZqzW0d7HeJin7BdZTzaqUKvbDfLO640jC6boJzM8raJ+XuSxU13\nFrTxoquJ0QJqaCEi/ZiwMX0yUiZoD7HpGRr4McGUXXz54hL9vJ173CCMKW5N9td43SpDf9+vKSkb\n7lO+sDLxF14U4kf73oTqDd0DrQmak6UQxtTI5s0RgVZ43ZQYbS2j7OaFJSetde74yN8A7wI+nmwk\nXcTotMOoqxgd9YyCOQF2fbAKNx4fxTj0/XmGNdKHHSu43aN7jWpwE6Mwpzf0+/WG/n6SUl9LQ6UG\nrdUyUFInVBE4Auoiw6BjJSKhRXd+clyUVsvmZNmCzuIeJaRqMenT2T9xOULpqTiiq8RFu+uJywO6\ni5PP7dygRN+ivLZ1qEG/ANPxMRcXGeT3/6wc+lt7lvv6kc8wsLl/9ir3LRC0YOnJ/ZeRKr2NP2Wo\nka8tMcjbidFcfwe/O/mz8aMqWJn7gRftEDa9lPHQCoWtHi5Zlcr5LiZbVAHKSeuQU5lu6nOXskUw\nRkOHUp+v4i5GR1VM9wBfclxDuIFI4sUZTCVAlj3TLMp0r+YfYjtypM5jb2kDd2HidY/WeojtwVR3\noYEpbR89n5YTwz87Mdpd8piO+Z0Fu4wmdIjLfSbFeoWe1QxuiKp7i1FTBZQ5M3q9xWgHL/a5mhjN\nDSzMDPweQWsvu3i7UtRh0NtlilCoLVgHykHYI9+YPGH3ehWGnt1NPQijXaLWj0KClt0mdBhEFLfS\nm6MlwpbV+AQjIlWTfGMdQClKhM0cOA2vrvPO7zsP/ATws7jV90Nq8HLSOxpgH/xhUixkOeUTbjz+\nAPh54N9kWCN9f7kaZM1qkzp9ilzBJQtErsr4dR1jEJxzWqe7OCQdcBWLdBfsglt7dWdXCZEaLhLN\n2a3TK3dRevL5r4ZVq4ymWWdAvzDV7tEvWVr7N5MNw9Sc6V6euGAxHy5/Gb+9e+6p3/Xp5y3iiN7c\nlWEtn68kJoT7//mo4fauHqawtWTtgutHW7vW8bpltLJ0waVBcatNuoy+uNPHJasyf6qDMQMzm3Pl\nFNdqTL4/s4jR6cyoa/vJF4AfAmLMwa0gwNiV/WbMWDsXtknmlSY+CC4icvo9Ayam2K7ToHFTiIlr\n34s5eHEo9801GASbjA+DlmkeArv42KKz5DNdJdFd0tiK0V5lekRkJZmpbSFG52t79J6W6VXsnO+v\nwvUXo7k4YG8xmicX26Sie2kTgoSRC66N82APL5q8qfN1WxdcI/6CqXJf44Jrt1kbBlFa1BpzhY5P\noWYpRv0OhfpkQ7XfcRgKrOuEzUIyK/EwhZ1NlJP4M9kZzf+jNQ/inuW5yLg224zMcBunchrzQAXJ\njAoptKarNb+ktfOgd5gUo679NdOjXTJlRlOfu/SkNYEy+oqj4jHi0gXsxWiT9ooiXaarhou0ly3L\nohZr5AaeOqHGYkkN54nm7a4nLndQ/WkxWqJftFyn1GfgTx5G5uIi/YLN6+rSq0B7acrArhcysBCj\ncfEi4R69p37HY+jvX+R48e5y35VHlhmE2mrupNfdxosme1iN8ZCd+UnY3MTvTmZq/ahCrm872qtJ\ncavDOI6skK+5jGRpsPB0G3gJcDtq8BTGxMr2PVFnNodOF4E1dULlEvOhLBmMj2BcxX9PxpUJKR4E\nXgrcgdvYMzDl5CPRtgA0nHwQdmdGF3ERoyYx8kWMF85nMZVD9oescWmbccxfpnnIbnY2NGkvh+ip\nmN9ZBLv3cZuoOi1G5+lartNeqiWTM8bExSpR1dYzZk+uvxj14oAp10Gl8BOHPpsZaNEuZz0XMTr0\nuni9yc2IMR6yFKN+l6AzPay2hFZ2AW7od6d6WEvkm0NyA8t1vDZBczIzavpI7d5kigaF7W3Mw+Nm\nSpcu4ZaJnN4QLzEjMeqwBpjxFreoE2oe80DMNEtNEKaYhRidLkmflRhdsF1HawZAl0F4HnOIc5Tu\nwmVcxGhzHZL3sDqhFGowR8dSjJJrJY6349elBnN05+3W6ZWb5IaTmchcv0xcshWjPchNidF+gX7e\nzvk4Lg7ZOb468Rd+FBIX97/Jah6+RNBWSQ/UmKCTIy7tv2wzaF0m6ExmWKtnV4iLdjMjw/YmQWdS\n1HrRvPVIlqC9Q9jKpVyqTfWR17N9TzQobfZIx5F83bakDqBO9Wwf01f5asoXvgK0HWZqTpfjO4lR\n055DPfn3R4HTrkJSb+g25nnzsy7/Xrhh+TLwckwJ9/2Oa6TFqOvBSwvjWJ9+rljHNcax8Q8wGd//\ngJsYbRJVa4xj/hFqx60yiFrTI5rTaC9dYbNIeyVneT0tzDjmyZjfXbTLaLYO7eB3J8Vod36RfqHv\nMDN9F9dfjKpByLTrIJQI2z2URa+nznXxounZZSWCtt1phM518XvTDn1z1oFy6HcI2lNiNCpim4EY\nem38CVE7R2g9kgWgQdAZi1HVX0oGqtuelDYpbm1hyn9upnp+m9mIUdeN9SXSpRCOYlRv6AiTDX0b\n8IgM5RZmzDnGJXNZMqNpgTMrMTqPEbq2NOguPskoE9S4yeVgqkH9phzj93AV7UUM9i/aEpqJWdH4\nWenFVTpLds/bXqW5awam16vQnbcr/YyLEVpNVsZ4vTxxyXKd0oCoOu0Z4NOr7P/3fv8PNhl68ND3\nTpYx+x1F48j+yzbnzl5KqmnG5OvLiSvj/qmcv4zf8RMXzuRaojkGvl0ptNJN8rWYtNu81ysStG1j\nQIPCVkxajIZNhcu9bLwPHgd+kiOfewS39+e0C67rBh3Gpbo34+AEnkZv6B2rDLjw1cDngXdg7tfH\nHNdI9za7mBeN+ldHWc0RbmW6Zo3/CBzTG/rvcKscatBZaTKO+TexfdzDdt8eVdsMvcmY317xsNu3\nN+kuKKZjfnvJbp3GkU1ysT/hytsvLtIvupo6TnC9xWiX3DBEDXaLyLDZx8Z4CNXB702L2jL+/key\nAMlA7ql1/GiOoW9nhDH02rsytX6vgBrabUa015oqP14k37AXo7lBHb87vqnz9TW013MQXQ2q5y5h\n+mJupnqmZn0thlmJ0VllRsGUnPwIYtAgzJ7TwM1JFmcJN7fmTWBBKUbBYFY9oy5BG6DB1h3PYFw2\nX8aZV7v0jDapHUuPi1pOnGLtD8l6lUmThlxcob1i97yNqrU9xGiJ7qLdOv1iB5j2DMgTl+1Ef7/Y\nZxhOeQZ0fboL+zew02jiMjTWr2RY1bvfYMpbH/z+/V/P3KltwiYTmcigs5TMvds/YauWmOeN23O8\nqIrev7lfQjMpp52HpKLK74bk67bviSbFnSHjOLJK2HJoYaGO2cj+LlDh7/3Ml3A/YE1nw7OKUdPT\nnVGMCsIefBFzb/5RBqf5dGb0EO5VaVc8FZQij/EPsX2m1IGq3tBab+jRgbHLYW2T5qE2cDipSDmS\nuM9bitG5NpOuvAvJ2DNbMTo52nHoLSbO9xbmrvkG/cKAtIfB0F+iV85cogvXWYzqDT1Eqwi/s0dG\ns2UpRmnjTc0uU/0SfmQ5akC1d40I8KIKQ6uRLMlg72h6nbx1P4umNSVqFwgb9iVEXm8bvzs+qQ+b\nK+icix1zg/lnLgEvAo4z/0wLt6zKXiWHzn0xycdryeeufAR4I/BnGdYQhL14BOPQdxw4k5S5WpEE\n+x0SswdmW6brlhl99DvPYGawvoL7f+AiLr2njaMh483IOr1KHbeyqLEwOaFyeHGR9ord6+ou1MjF\n0w6tRdrLduvExQ5qONnu4UUhnUU70R8X46mTcfC7Hs3DdoducWkIaixwtm9bIS5j5XwctpuYGenj\nuOZ3FxmEsdW1QJN8Y8hERjOqoi1HskCTQn3IWPQvUNjpkRvaZzTzdRjHkSP4HR8nUy/mgH8FlFn9\nSoEMYjRVVp1FjD6FKRsWMSrMnCQjeSfwngzLpEcQHcHdICttYrQAbDuUj47ew2lcxGiD2rEu5nUt\nAV3iin3/eOtQHTVMV0ks0l62ba9r0VmcFKP9cJmoGlv+fFrE5QHp57ZWyzeEGAVAqy5Be49ez1Yf\nu9k1rV22w6XNBYb+0LK0pIXfnSpniipoSxdcVJOgOy1GQ7zYMgOh6lNifZGwba7Thly8Q9AKrtjX\nB+0ltKWZkqHB0uNbmI31S1n5SgO3rMplxptqmE1mNMvgZYDfBv4hpkRDEGaG1tQx9/dbgIcyLJW+\n32dZpuuWGf3rn94CPOAJzr3aw+UEuXG4yFiMHqa7UMclMxrNa8ZlulUGQcwgb2nJv7iN15t0DPS7\nBZqH7cRAv9jaJUaDbkD9JjsROcj3SB3aqRMqhx8pLr/I8noKA7RaSX1u3+tp5oJD5dz4dXm9heQa\nbWgRNiB9wu7FVcx9aUMz6e0cH86Ysl37g4ywkSMdR8zoGdvrMVkVjdaaUWbc+n2V9GcOGYv+LGL0\nEczB8a3AScc1BOGqaE3kcriaIl2mexPZxOjoYMrpvce4ugFIqi1MBYf9Adflu7uY991RzAgc+97T\n5nqN3GBJnVBGq2kW6SyH2Gqj7kKATmdG/WV6VbvWQ1N9pEmLUaXnict2ibqrcP3FKHQIOnv1jBqD\njP2ihrvFaHFzkUFgd2qr1e6B3F6v5HBquzsz6kcBQdsuqOQGtany40WCtm0D88i+vsmo/CdsL9rO\nB01osPbgNvAa4KWsPtzBXYyuQGJaMhsxehPmTe+E3tBtvaH/bWL8IAiz5kHgR3E3eoDJ+911RMzs\nynS1XwVehRHZc7gIitZqCc1C4oR7hPaKS5lui86yZlzStJCUytoG/830DEx1QgWoQc46wxqXJnpP\njYjsBNRusXvG9QsRSk8a2MVF6M3ZbY7iYp/cIH34t0y/YCVG9YbWxKUhK4+MRW2uN88gtN/UBC2Y\nyIzGFRjaH2SETRj3Vy5RqLuNZAk6PlfMRoZHUYMy9gcr6c0wuMc0mCzVzSpG78KU0n/ZcQ1BeD6p\nA6FSlMiWGb3E+FngHtP2cJq3nJ0N0OSZb+wAdwN3otXjQAHbeNQvNpKqTBMDdG6Z7kLP5nq0ZkCv\n0meQTz3/c0tEljO4oUVUhQkxOlygV3GpsNzF9RejSrfNyJMJyoRNSzE6aO460S7U5qxHsihd2zWQ\n24hRywA3rE9sahQ5/K5P+YLdybjf3ZoyZlrA79o3QkOT0lYbWEmuZZFc33bjCNDg8OdqmJ7RR8k3\niri96TcZPzgqQM9RBF7A2Nd7jE+gBOEg8qcY18EsZeBpMXoYY4xky+zKdE1/zWm9oc/jUM6kNQO0\nH4Hawmy+D9M40sVF1DbXNOMN/EJSPmQnaiNjVKROqNHIkHniUoz27NaJSw1y/XRcKzPID4jLdnGk\nn++ihmkDuzJxyXbOHPQLMWqQFkpL1sZDZp0h5fPjcl+vN8cgsN/UhO0cuThtPFQmN7CNI02Ctkc6\nMxo27OaKj9bxOyFwq1IUCZtloKs3tG358SawnCqvdd0QgzmsHZXqruPWYw7wAPDNmE3xg45rCMLz\nRlIqegpjspVVjI6f/24HQdMmSO7mfue+ZtRC8Bqi6lMYUWtbNtykX6wxjvmHaK7bj2fqVSIGwWTv\naa9qKyKbRHOTRkhqME+vknnGKBwEMYpu47eDlCkHQImgaRdwc/0GXjQ9SHueoeVIFjXY2TXY1e/a\np+lzg+nB3lXCxhDPYlwNQNi4jB+VrjgPqsEiXs/RBXezi3mzrlLcbKG028lRblgFXgu8C/eAm3YM\ndO0XRW/oLmaDfgyTGc1SpisIzye/hnEe/MsMa6TF6DpuZg/TrrzuZbqTgdslMwrQZOhfwojrw+zc\n0sOl97R5OMeEGK3G2JUzmXXiYsw44M4Tl/vYPm/jUo1cP11hM5cMHrcVkZO9p/2wTK9iPy9ykI/I\nDSZHBPTztmIL+oU++eb4hN2L5xnaueDqDd1DKyhuje9Br1fEj+yNh/yuz0RmtAb292CDXL+AiSG3\nUdo8j7LfgCbltZrxqLpZZEYXgEhvaJeWGvSGfgqzmf683nCqhBKEa8GjjMvJXWe8p8Woa5luA6im\nnL5dxWgzqRr6MvBP2LrjEVxjY6/SZJRwUcMlWmv268TlDjqXev7rebrz9tVH3YUc6ZifG1SJqk7P\npmmuvxhVtAlbXSbHu5QSo4T9/7D8bh2vNzVIuznP0LcrIfJ6OwSd/NTXCmD5IPejbbyJgdwL5JsD\nbDcRfq9O2Bg7WIWNFXRu4GCx3qS41cO8WW+icmEHtzfZFrCoNX+nNY8yOzHqGrTBWOnfhTlZeybD\nOoLwvKE1ba3544wzuS4Ch5SijHELdHkPT/drZ8mMpqs25pzX6ZVPYYwwjnP5rgFOmdF1n/FmZIXO\nQh97UTtt0jCfGCPZidpepTbVNjJHNKet1xmEbVTK3bd5eIm4pK2dK/v5HrnBOMOaGyzQLziI0XxM\n0BrfO7n+nL2fAjDIx5Qvrl/53IsKhE1bJ/Q2udgn1xvHkXzdrW9ZUYHhOeDbqZ57mmwZzawGYzDe\nWGfJFI14FfDWjGsIwvPJI5hS8uO4j4hJi9EVzHvRCq3pAQNglEhyz4yOR8QU+Nj/+gCuYtSIxjVg\nlaFfZxjYHyq1l5qkx0XlBvNE87bP7RbdeQ+tUmI0rtKruox23MX1F6PQScRoelNTJmzZnf763QZ+\nL1Aq9ZqCToWhZzlIu7OFPz2QOy5alxAFrW38KC2O551LiArbEaMAV6itWAvs0TqlyxGmlPUIlXMN\n3MXoZLo/uxhdJdtIlseBNwMX9YaeyRtDEA4oFzFmD+vAOUdhe5nJ0RGumdEmu0ua3AJue/UM5kDp\nRZx5beywTpPGkZDx6zpEa91FjDbpVa648gLzRHND63Wi+WkjpDmiObO+Df1CEy8lRjtLa/Sq9uW1\ng3yXXH8sRtXAxXgI+vlowpU916+ilf3maBD2KOysAyiFImiHFLesSlH1hh4y9Hvk6yPzkxWClo9t\nqfiGNmaJhZ1HgR9k8YlTuIvRTcZiNEuZ7llMpU9mMao39CW9oV1ivSBcK74CvBM4qTUu+1uYFKOH\ncC9tT7exZBGjFeD9wDKPf8doXVuatFe6GDG6Tr+wjX1Mg/Zqg1x/fIioBhU6S1bPJq0ZEFeG9Crj\n/X+uX7aewX0VDogYbezOjPodOzGaGzYIG33Ss8v8bgXt2Z1E52tbBFMDub0oj9+xO+Esbm8RtHOp\nmWwL1tleQ4tCLeaKGN1ZYei7CK4m5UsRpgziCJVzba6vGE0H7XXcet9G3A/8ODIfVLjxOcnoPez+\nnmkCgVJXnpWLZDv9HeGaGW2ydcc5TOn/IhdflsOpTHe9QHoz0jg8GoRuQ4v28pDxs2keo73s1mkv\n7T6MNCVOduv0801y8bjcdxCsElXs5/kNwjYh8mnnAAAgAElEQVS5OO2Cu0RcsHdBHIbRxLxqP6ow\n9O2f/4OgS9gc/a4qFGpD/Mg+i6hzbfKNcQ+1qWpyi2urD30GeCXHP/Gw4xowGdeyZEafZPw+z5oZ\nFYSDzn8FXpn86colsrewwOQe171M1/gpDPWG3iJLC0vrUA/zetbpVWtO67TWauT6i5AYhnpxlfaK\n/bMpLvXoF8YZVq9Xspl5/WwcEDHajJjOjAadHLaDXfP1/sQ6Zj6ofVlsvj5kYiB3LyRft8vcKd2k\nUOsz7s2ax28rnDKjOwNGAS5sLNmbKQHQoHRpiDEeOk71bBd3MTpd4udam59XJ1QBdyOWEf8F06fz\n4QxrCMILgccw5ax3AE+4LJBkU9PlhCu4u/LOJjP60DuexjjyfhrtWQdurenRWgWdMnqoH1W4iNr2\nCoyrNubpLOawzWg2D1/G747F6DA3lwwet7ueQaGBlxKj2lshLtuX1w6CdtrdFy9epF+wjyODsEsu\nHmdG/U4FnbPv9x/6Hfzu2PmyuOVSmg2oJmHDrBO0b0INAafMyhbf8RN/BryXV/5OljLdtBhdxt0F\n90lMrL4VaT0RbnC05gngB4H/PcMys8qMpqv2smZGR7iL0csvamOeA8doL9VwyYw2Dm/jxdVkREwF\nrYZE8/bPuF4pYhCkPAN6RdqrWaoar3AwxGi+HjMtRo1jrK0YTc/mAq9XQVmXbTaTctoqgFJ4+N2A\n4pZtUGkl4ng8aiDouLjgtsg3BlfWyTeW0MolUG5T2PExAe7FLDxzXTOjekNrxmYsmcSo3tBPYN6s\nv+G6hiC8QHgG8555Oe69NZAE3GSO2gIO/TXsNkJyDbgNvvAPasC/A/415tlrv057dTy6yohRz2Gd\nJq01RbrUsrNkLyJbqzuogUrG1UBcWiKq6qQnaf/EpcneU62Wicv2YmsQtsz4lIRcvMAgb7+pGXot\nvH4qM9ot4nLv6FwLvzOOjfmaxike6W3yDVOmW9g6ytBrJrHFli0OfymvNb+GF7tuQGFSjB7CPa6N\nxOjdwMOOawjCCwat+V2tM01DmJUYTb+HM2VGU5+7i9Hz93Qx5k53sHPrjtM6g0KTQRBhYv0avUoL\nF1HbXWgzHsmYw49Cmusue4ddHAQx2k7EaLpMt5q45NmI0dYuMepHFWvjIWiSH4tRoEq+0cfr24vI\nsKEZbdZy8SJez8N+BlqTsA6jN4ffWcHruZxEbBO2ipiN7BuZO93D7U22SSJGk6ymwmYEzyRPA7eQ\nPTOK3tAn9Ya2nQUlCC8oEuOax4AfIdu80tHp7zKw7Ti0PB20IUuZLlT0hn6P3tAfTtaxD5RRtQnK\nVydUGVijcVPosE6L1iGP8cn4SmKMZLeO9pv0qn1G8+F6ldVk1Iwd3fkt/HbaCGmFuGQ/120QNvBS\n86q9aJ5+wX5To3PNicxo0C6gtENWXTUI2mMxalxw7e8dr3eBfL2qFEXyjcNOaxi2SR8cZ8uMrsxg\nJMszmL3DtyAjWQRhP1wEFpUiT3YxmtVcc3ZO82de08dUQ93JpRc3cImN0CQutTCva41ovu20Tnep\njRqOfjZl+vk+g/wN1DOab0yW18Kcw/iSJvmGZjIzWiI3sP1BTYpImEtmntr3epqB3GadyrlVBkHP\nQTA1yDc9YFkpQsJmCT9yKanbToanfxGoULqkcN84FtQJFTLayLqdRIPpfzuO9MUIgg1/jnmuZBkR\nMzpFXsMEcRemxah7me5MSppyTQbhGcwz5Rg7t+Rx6j09NB4XolmjuR5if4jYorswbq8YhCtOGc3O\n0mWCztgISQ2XiEv25bX9/A5ed/wz9nsVBqG94NK5Hbxo3HsatPP4XZdN3xZhayRqFwgbLllsUGxT\nOb8J3ErYXCI3cC2Lne4Ty+Kmu4K5h+MMI1n6wGeStbIcOgnCVwXJQe1pjHBbx33mfLqFZRW3FpYa\nZkTMSGO5i9HazQHQB97Oo2/dwlWM9qqjrOYanUWX8WnQWWyQ648P7czYsxvJTbcxYDIzOkeuH2Ir\nRsMGpE8jvF4Rr2dfpmWcfEeBcp58XePS6xm0FaMAV9pcY5B3ySDuELQCzJtrjdJmE6VdbuptzAb2\n7wN3o9wCbiI8R4E7y+kTjMXonRhHXEEQnpsTwNdonWkc0mjTPBMxmgTdCq5luulB2q5lutAkqp4B\nXgocYud4GfuA26a1FqKVEaPDYJ3Ocs8hc9yks6QZbWq0t+yU0WwcuUTYHPee5gYLxC69nvlLBN10\nZrTCIO/S63mZoJMSoy2fwra9UYgaXiJomXVyvUNJC4vLJmubudM7wBsoXdp2nJ0Nk2LUddQRmM3w\nMbIZqIz4EeCVUvEjCPvmceCNwFnrlogx6UPWVRziYxIvGoxd2d3FKLkK8KdAi2de79hbT4vuQhfz\nelZprcY4ufIu1/CuVMas0ll0W2cPDoYYzdfHczQB1KCKGvjYlX+OROTYvt7rFfA79oO0g7ZHWowa\nkWufYTUB1mRGC7Ulhr5tdhVgJzkZPwYcpnyxhVugbAEh96lNrXmcbAE3LUazBNyngHuSa8nSKyAI\nXzVoTUNrvpBxmfOYioRDuIvRtJnZIlB3LPfdJnneJi7mFdxOW1u01i4Cb0ZzmmEQYDnXU2sGdJZ7\nDD1jhKRzh2gvu2S3WokRkhE4arhMNGe/zqUXXyBoB4nxhJnrGZfsNyP9wsWJcl+/W2QQOmQR1SWC\nVgVAKXzyjRyLT9q3WHjRRcKmifnli8cYhLHD7GyAbeZPNYC3MnfmLNljGmQ7oEm3nmQSo3pDn9Yb\nWrKigrB/ngC+ixn4KSQfu2ZGYTI+ZhCjVIEfA26CXBXXzGhrNWLkyttcH4llO1rrO3i90WHkCp1l\n+7FnV+GAiNEGpMVo2FxA52xLWpsE7RzjTU0OLwoJW7YnpW28nofXHZfshI0c9jdSAy8KUEMjRsPm\nCkPf5ZfWQg08vO4twDrlCx2Ha0lnNMfuvtlMGlbInhn9DPAO4Aty+isI15TR6IhjmGyOC21AJSNi\nsgbt0fO2DHQcRW2TrdsvAO+mX3gAaDrNYW0vtUElRhh6lfaK2yit1mqO0WZE9ZfoLNpvRqKFTfqF\nIaP4mIurxGX77F8/f46wPS739TsF+qG94FKDC4RXRO0chZombNvHkXzjPGGroBSK4tZRBqF91tiw\nzcpXNoG3sPzoKbKJ0VFsnIUYPZ58LAjCteNzwLcCn8qwRjozusZs4ppr8qcGzOkN3UtmBbtXDW3f\n3sGYot3M9u1uYrR+ZBMvqiY98as011zGp+3JQRCjbcLmZK9n0J4HZRucmvgdn3FmtEy+0Sc3sDqN\n1ht6yCCIKW2ORgTMEbZ9bEcNbOg+2ospXTJOf357FWU/eNqISFWjsHMLcBuV8x2ymTTMQoyewQzk\nzipGH8AYF/1+hjUEQbAnPTriKZcFEqE3CtwruDnywmTQdj1BBmjwufc+BvjUj34G1yDZXmmCNifj\nucEyrTW33vrWqs9oU+PFS3SW3TYj3YWxh4EflemV7TOaceksYTO48nnQCRnk7QVX0DlH0Monn81j\nvCvsX5cfXaZ0OQZWydePMPRc+462OfSlLeABbv/IQ07XYkhnMbLEtUuYsXCvIlt2RhAEe/4Es6/8\nDxnWSBsYOZXpptYZxbVl3OJj2lgNXM39oMXluyLgduA4l+/CaZ240kB7o0rWFVprLjPB9+QgiNEO\nQRPSmdGgPYdW9oZBfhTAMNXr2ehjWaYFwCCMKOyYmzFfW0pml9n3ew7CFqXLRtQG3SVU33Eej96i\nuO0Dr6V6LsJ9s7YNLCbmQ1XcB3KfwmRUMonRJBt6k97Q/7frGoIgODHKjN6RfOzKSIzOKjOarX3g\nse/sA1/Hb378P+P6nGzcVCM3WFEn1BzoIq1DLs/JiPZKjoFvMqxeNE9rzWWdHbqLYw8Dr1ekV7WP\nI92lU4lJkCFsBfTK9mWk5Qunr/Swzp1aQQ1c3dR3qFzoAscIm4dAuR+wFuoFrXkF6/fHuM/1vIiJ\nZ5AhriUVSA8DP4CMZBGEa4rWXNSaV2jNAxmWOQscUcpoEq2t/WJGpA+4VjCx0hazZzftK2D27S7i\nr86FV4ARo3dy6aWuIrJJrzwyQlqlte7a67+LgyFGwxakez39ThVl50JnMpG5Pvn6uEY7X+vj8oPS\nXpewYdYpX1ijn+85OcYOvQaFnSQz2lnAj9wyB4odqmceBd5F5YLrSBYYZ0ZXgMsZSmNPATdjsqOZ\nej0zOPEKguDOJczz/1uAz2dYZxRwZ5UZzbLONrCkN/RnaRwt4RokB/ka/fxl4BvpFzfR9lk7rdFE\n8x0G+XUA/KhK47DLZqROZynHIEgyo50C3Xn7n8/ZrzlN0FHqhPIBCJse0Zy9g3n13AUKNaUUBRZO\n3kJcih2f4duULveBYwSdVdTQ9WA0Xe2TJYtxCjiWjAXKusH6JOZ+/m8Z1hAE4fpwCuOncCtmxJIr\n6bjmlBnVmi7GSXdUOepaObTNua/xMR4tR7j0EpexZwANormIUcxvODnN78lBEKPt9AgUpVD43TJq\nYP8Ch35EYWcsRgs7Gpdf3NBrE7bMOsWtNQah2xxNpbcIm4eVokDYDAnarpusHda+bE56yhdc3bRg\nnPLPErTBvEGPYbIq4oIrCC8wkhLbjwNbWmcqtb/MyKHPPTOaFhTLuJ0gT6/jeoJs1ukuXgLeSGfB\n1UofovkWA/+QOqF8/KhA44jLZmRAd65Pc/0IAPlGge3brA8A9dlXd4jm4NHvWFUnVI6gpTh/j70Y\n9eIdCltDYIHCzjH6BftxNYYdipsAtxC0DxG0XedMp3/nWXo9z2IyokeAixkPSX8ZeKve0FlirCAI\n14HEhfcC8E1k6/veApaSrGaWuJbuZ1/Crfpjm87yHPBZ4ONozzU+btNcj4CjaHWExhEf+0kje3IQ\nxOjIvXb0wy4Rtvoo67meiYhsjnuPzEgWh8xorkXQNteTb6wz9N2Ufy6+SNA+hBnJ0kJlEJFv/ud/\nDhwjN8wykPsCJuBmCdpgHMtejBnJ8kSGdQRBuH68G7gr4xqjg6nDuJfsT58gz0KMugZts07j8Dbw\nDmq3XMBVjHYWdkCtAcvExYhh6Pb8jys9epV1dUIVyPU9Lt/t5tIazQ1orR3jmW9YoleBM1/vEte2\nKdQUsEK+doxB3t14KF/3gG+meraNF7s6z6adL53jmt7QcbLW63DsoU6tdUFv6P+cZQ1BEK4rTwFv\nJtuzYNQzOgd0tcb14C7dN+oaH0ex8V7gbWTJsO7cGgO3oXPHqR/rOJkE7sFBEaMhaQOLfKON3YxR\ng861CFujzcgc+bqLCy5Aw5goAX5nDZ1z24z43Uvk63ngDkqXnFxwE3YIOlWtOU22DMTIeCirGH0I\nI0S7ekO7bvgEQbiOJCNiXKs1RpzEOIfejPspchvwElde194amM0JMsA2p7/hHHAbZ157Ede2iPqx\ny3i9w8BNdJbbuD7/o2qHoX8YWKWz1Ef7buv0Kn2G3lFqx19EZ3ngsonQG7qL0prqmVso7hwlLrke\njO4QtvLAO1h6YhP3mHYeOKROKI/sce0U8CbkgFUQvtp5CHg72VtYVsgW00brLCpFHnAti90GFvWG\nbnGfBghwy2hus3mnBm4FfTO1m101zS4Ohhj1ennS5VX5ehcXMQpNgtao93SJsOXW+6GGlwkSURu0\nl50HaSt2qFyoAW+gcr5FduOh0agA1w3kaeAo2WYLmv5c+CVgw3UNQRBuCE5ixOgtOPbXJKJoJCSz\nPN9mV+77Vz/zDPBv+ev/+azzOpt3nsPvrgLHaRzpOa/TXmmgBuYQsbXm1noC0CtH5IZHGAS3011w\nHQgPcanH3Ok7yNfWGYSuP+MGahDg9WDtgQs4ilG9oXuY3/sa2cYwgHHhFOMhQRD+LPnzExnWOMts\nkj+jzOgysOmYiWwCoVKEmBi55bjONpfv9oBvAKVorWY9zL7CARGjcYH0yJF8zU2MKl0n6IwGsq4S\n2I9kASBonyNsmVrvoLNIru96wr5D9fQO8J1Uz2U1HlrCOCq2kgDswigzejPZGrPRG/rn9Yb+1Sxr\nCILwguckpkoia//4yAgpa5nuqMImW2a0fnNJb+h/SPNIxXmduLJJv9gEXsvOzQPndVprO3jREWCN\n5iGFa5tGNN/G696EGh4nmnPv8+kXmpQv3k7YWGHoubrODlFc4E0//zqO/e0Fsm3WzmDuwQLuLSwA\nf4XZE308wxqCILzw+TBwm9Y8mmGN0czhY5iqC1fSB7VOsTERnjupdTJUDX19CHwtncUnITezysiD\nIUbRZaCoFAGwTGGng4sYzfVr+B0zIkb1V/F6AS4p7aB7keLmEJjH787jd1zVf43Fp7aAr2XudB/3\nU9tzmJ6srMZDpzFvjNvJNs5BEAQB4BHgRZieGNfDNkjs9DFVGwfJCCmbqG2v1IDv4uIrRtlfe5qH\nNgm6a8SFwzTXfed1uvPbBN3jeL1jRFV3t9i4uEX54q2E7TX8bhaDjzO8/n2gdJbWE7OOMRs5mcEh\nHuD3gO8mW2meIAgvcLRGa52td5zZufKmM6NZxN8ormWLadu3zwEf58k3/3XG65nAn9VCGWhg5vns\nYDJ/qxS33HpGvWiboBMqRYHizmGGXk//YjxwuKYtKufbwB2ETQ+/67qp2WH9C+eARyld8snW62lO\nxrMF7VOYm/E1wM9lWEcQBAGtiZTi32EOurIwi1Pk2fWMTopa93UuveQyC09/Ladfe855nfrRC/jt\nlxPN3UFrtaM1boIrql6geu4o6B3isusoFRgGZynsHCdsLFA9lyVzMDqAyBrXTmLMRjIdsCYVR3+S\nZQ1BEAS4Ehs3gdcDf5FhqZFJW5YDVhjHx6UM69SBEvfpb8UYIBYyXM8EByEzGgE+ud54BmZxK8Kp\nTJcWxc0GsE6hto72XEuRtqme7wKvo3K+lskFd/7MUGvuIjfM0gs1k6CtN/QAE7jXMA3agiAImdCa\n92jNL2Zc5hlM+8BR3MXoyAipwEHJjH72vaeAj/H0N5ec19m+/RnC1iI6dzf1m93LUHvVU4TNQwTt\nNXpld/GXrz+M13sZ1bM9CrUsc6bPYn7fx8iWOfgCxiXySxnWEARBmDVfAd5KtmfTKcxz8jDmmenK\nKK45H7AmB6F1YJ5ssXEX112MJvO8muTrdcwPapXSZoybgVGN8qUmcJiwsYJWrqVIW5Qv9IE3MX+q\nhbuIPA+sJ8ZDWU4jRmLU2SQkxU8B781YziQIgjBLngZegXELzNIXc45xua9rS8M2pkoHsorRR942\n4D79bQzyFVyNhxo3nSQuxRR2XsfOze6GEdHcU+QbCxS312mtnnRep3zxEapnYfnRiGzx6DSmSqem\nN3SWWXUfS/78/zKsIQiCMGtGz6Yspf/pg9osh3+jct+sInIW5b67uO5iNKFJcauOUeyrlC6P1Lct\n21TPdoHDhO0VlHY3DKqcj4G3MXcqwl2MjjZ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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x504d290>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "(synHat150to200, sHat150to200, sigma150to200,\n", + " syn200, s200, l200, b200, sigma200) = hw.additive(syn150to200, m, alpha, beta, gamma, phi,\n", + " yhat0=syn150, l0=l150, b0=b150, s0=s150, sigma0=sigma150)\n", + "\n", + "\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t150to200/100., syn150to200, color='blue')\n", + "plt.plot(t150to200/100., synHat150to200, color='green')\n", + "plt.plot(t150to200/100., synHat150to200 - sHat150to200, color='red')" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x6106d10>]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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aGyNCJu55s7TLvTpaAkwMNQTTgK7QgJ6tAR2uAb1IA1qGa0TWbRxVdkDcdrYN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\n03Tto2TsepQOc8vJLkyl0upivva91wgJ+A10ntOQq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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x60da5d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "(synHat200to250, sHat200to250, sigma200to250,\n", + " syn250, s250, l250, b250, sigma250) = hw.additive(syn200to250, m, alpha, beta, gamma, phi,\n", + " yhat0=syn200, l0=l200, b0=b200, s0=s200, sigma0=sigma200)\n", + "\n", + "\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t200to250/100., syn200to250, color='blue')\n", + "plt.plot(t200to250/100., synHat200to250, color='green')\n", + "plt.plot(t200to250/100., synHat200to250 - sHat200to250, color='red')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x6432ad0>]" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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UvxwMujTsfK+Qs+Y2F1VBazdbT+NVUN97iGcOgQdCXGOz5elHrLmlUcRZVkeG\nzMdNq3OK+718iX+d8zLk780A/p0q33RifHqlID/u7r5ZcCy5u/2jla9OixnxbUhN/LxXrIjFoVGN\nvVh/B/F/PBJxH7GCTVmMHzMssp7bTneKqxrabsguvZ6G7H/Mihib2vUaETYToS5MGTmEzBHOk6Ji\nVVEURVnfWX/FqoiMAOYaYz4n4oHLGBPpOikiYz3/huYxlH2BI/LY3jOmVGTXYpGCBp7JWvzaaS2i\ngvdk415WqP1IP8f7/CX7/ju/HV6rLCz+S1rfRaTEaoyxunwRpF93/mtx+xvDBfIfnnhMwTQwQetZ\nu0mw61h3+bYvyIoeL0OHj9OtZxVVpMy+Uw7O2IzUQGkVDP4Jzp0AIz5tS4n3ivt1EHx8pn+jk3by\nLTbe+xgu7NOXz24HMxaWXAlzr4FL3oLDv4LWzLEEa5AI63S3P6D9kpAVv26fYWf8p63hahjwGzRd\niZXfN0sar7K2b+49lZaFNjT3TCIWb2bN3djhOtfCP/jyCTFbpLPn+VaAre3+01YqREQoFyH97Ukm\ny6rVfybL6uCM45k24mEyH5PTQ0vrLYbs3YC9DOaA434GFopwWsbaaxfvX05OP9Ae0a9iVVEURVnf\nMQAiyTywRGSoV+Pl23m+ee52BEaKyD5YbqlNROQhYI6ItDXGzBaRdsDcsI2NMWNDimvbDdixJV2C\n5bp7ZUzdbHBMdNns3/yYdU47cQ9DTp0H09Y0nwELu00nPVJuHOljH3grfHsA/LBnSPUUriLcZCrs\nETGFOX7OptcKZeWcjLKsgiN8w46NW7b3X/1RcV+8FaaNgCWbwcX1rXQx6WLV32bQFXpR5+gxhYm6\nGvvdiDfCLfhFdEyb5azkxKLbGX0TdFkEUzaBCR3hwJk/cv9E+KkZfMapPFZ5BONfuZFguhWhhkYs\n41ge5J9vP8kX7eCi3WHiprB44vn03vxqzvwYBs+EB9iMF2tGcOZvrfit/TxPI4ZiqiiihuG8ypg7\noP/vMK8hNF5tfQJ83hbe6Qy3LWxH1MzTzefBhe9DvSr4oTkMmwF95kKxgd8aw5dtoOlquHZHmNQO\nFtSHVWFxvgxs+xtc8jbsPR3m14dNVsKktvBkb3hoa/itSeRhzUyLGVaEqqFj4evDnePQIKs2Wk7v\nAMC+Z74KDAeuAxYCO/vqJXMDzvRCKvMLKytQU7qLuZ9wQWqljMrHDfgY+j0Izz4AcBtwe5ZtWQ1a\nltnXjCE6beu5AAAgAElEQVTDG5FYsgpPHoEzkTcfAQ+ACNcCk4wpuPeQoiiKoiTB+X2fRwIdY4wZ\nD4x3lkVkTD6d5yVWjTEXYUdWFZFdgNHGmGNE5GrgOOAq+/PZfPpJMpS11G4hg2M4OTEKJcbzs5ae\n3R3GmtjzL8LOwAhjMgTI2vQTr1gN2z93rP3u9wS1yQlh/xO3p/Fv0P01/5o1DdwgQ9Euxf5rpcQj\nm2b3t4QquHlN+zwJPw2FT1MGJWv7Zj/Bls/AzIDBarWtgCrL4e1LLHdbh52uhqkBK6ktdoubfU/L\nZbDvNNhsCdzBHDc8asjc3CYs5iIu529cx3yacslOcPcAqCrCOgOTh9Olw6NsPQd6PtGN2zmNzZnG\njBthWksoroEagR1pRhlr+IxtOG2/Gp7d0tPJ3G2YvAucsr+12Grsr/ydK/nioWf5oh1susTqamL7\nWezE5nTjB6Y0bsLtW8NRB1n9bLoU2iyDlaUwcBaM+houohNT77XaXFgfvmptjXvzP2Dkd3DVTpZQ\n3XqOJZpHHgG/N4Gjv4T2S6HRGjhvAuz4C5QY+Ote8HYXmNzG2vd2SyzBe+pn8K/BcML+MKcx9J0N\n2/xmidcr34Srd4RLd4FlEZ7gsfR5on3q/MW9NElOa6AX4H07Yhh8eeb5yMnE6rAM6x1340z30vD1\nw86DsmXNpaKiixljfszYl91j6lt1SXGWKax8SIWUUFn/GkrmP05Vg4E5N2RRCLHqhNvuJEJ3oIEx\nTM6xrXOBz0HFqqIoilIr1KqXUL6W1SDOzlwJPCkiJwE/AYcVuJ/1mSyPubEi0sZbLtfWWM7EOneO\nWO0XXs2nT8Memt2yBBFvRVgMnGcMd4Z0UkT/+/wbjLsGPhhtuWTuda5VZlkxw9yAowlGzHXY7MN0\nsbrNHTD4Srjj0+DotwC+ZcYw+OA8v1jt8IlvKG2Yww4/LuTQiXDk17C0DL5oC3/Uh0/ZlhdeqWzS\n6w9Ytfx//DQPui6EVsuhxUpoSyteYy+6MYNfOn8H2wW0iCnixxbwYwuAC7ia8+nGDHYY2oMGldBy\nBUxvASfPmMIsLAMfWwbeMwSOxzxacy7XcduRDzB43gLaL4VXu8OgX+FF2Zzn+7alsssHqdhUAL82\ntf4BTGkN9/eDThUTGb5VFxaVw24/Qs8/rJP7UQfbYmoneXoEPw9v7V8uqoEdfoHjvoSzPrasry1W\nWkL8gX7Q9WyP9fSnIUw2RUweMJ77BsAW86DibfjmFjh/T3iiD2mvWbosgAG/Q7tl0HmR1faSetY5\nmNECXuwJyyuFb2Vl7hPc3ejGjru/5Wrzf2UvsOVjZex+ceY2Wk6DBT0i3YDlL70HcGp55hQ1kodY\nBRha0Rb4geQv5Nx6xVXZzRlOpzmlK/9Kk1m7saBHnk35xGq+P9CX2/8gvxeVdTEnuqIoirJxkPr9\nEqGfMWQ55y0/CiZWjTHvAO/Y3xcAe+TYVK25AdtzRNc2iZOTAnDUvlZ027Fr5aVGhwzrXRe2Rr/D\nmREplhr6UiSGnb/MEXz9NMFyMQ8Tq+nth1pRIy+j6AMZlYpHPFKk/h/FrGzptu+NPHvT9/HtY7nd\nDuFdRnMtI3iJD79uygt9Ya+jYZzHIXuXsQ9zsNl72Z0DqkvKxx9dWtr2Cr5sY7nUTmsJK+7+lOlV\nW1njKAmxvPnzrn4D0nsG3ZkREHz8174EypaltxERrHZ68xKmb+Yuf7YpsPRzqLc08yO1wEw6c4cd\nnuiJrYBVTZNF+f12JGzxvPX9mtnUnNeWCZ1gQifAwO4/WBbaCR2hKjj0p56C/U51m2oFow6Dwe8M\n4dZ33l/1tw9ryid0hA5LLLG75XzLivtrE8uSO6kdjO8MTVbDvAaWgH3mCWi2ciFV1QMZMRPe7xQx\n7mcehIOODV93VkpY+eemF1eOoO/DVi5j7wueyUdC34CBzZqfHXrkRSjj5Eb7+1+URJApkJPdZJJK\niZCqwuT5rpAtAeuKrClJFtk6njoTmdhDbU+PURRFUTZevL9BkXGK1haFtqzWFs7E39OAO4zBiPAK\ncLAxxCSfTGPftTI6P9mJ1R6v5NNXvheTK7xaTLfESBiDboJXb3SW4i2rLadl7rV4DVSXiR2kpMoY\nhGzFarhlNarMIlKseoTfBZvczNVzwQibz4Mhbc7AfGZZFzsuOJ3efHPRq9fvxopVjVnKhcwa15GS\nxj/TdSGU1MBwurOchtzHCRzBYywbdoSVqzTAOwzlnV8nnkDp+JksPOMrmk721/vH1vDQq3DMcHg0\nkGXj14HBIEUzICJv8G4XQ6upsOX/0td559h6v4dF622cHrg4xb3vwolD4OvD4Hk7bfCE0bDTtdb3\nRZ0zu7oC/LKTJVYXdIXlbeCrw2Grx+0xwZvdYrY1RaGW8/cm30X/Ufu9cODcaYcOnAUv9LTmyP7c\nFP5vV1g6bxBsZr+QWNgFmrsermfsCyzajEOfOoSXH7mOow6CF8KkUlyGmqa/ON/SL77iSqis7xer\nbUNeZrb+GqIDLF3C5yddQIdPrHRMRTFTKJNZVv3j/HEodBmfYZMIurydHjyu3mJYnbWRdUrqm5gy\nABEONIaQizoRhXADLvTbRRWriqIoSm1Rq79BG5pr0W1ACxH2wApY0jHL7YMnY20cn+zEqsPYHCyF\n+eO2HZdOxE/8nNXu4zK38M96YM358j6AO+2mW4OjLatbhqywdsRrLb3GFlpeUfHE0+73oMWpZDkn\nz/qcb2+BI76Gvb+HH5vBPZzEUhrPWrq4z7MrV7ejPb8x7NOubDkf5jew3G6P5mH6Mpnr+RvLmiz2\nC9CZO8Oahu7yvD6r+OSMhQA8/Wh6VGBHuHR6x18+cwhU+dLwRluKhlweLlSDeI9xfIqhdP7oaX3W\nlMKaxtb3169x11clnDRaaccvmmhHoK7KItVwlIt3dRlVlKx+qg+ctxc81A8uGAbn7A1Ly4FfdnTr\n3hYy5dAU8dQp1zHsGHjkGXjqCeg9J1An0HfTlbDVbBj1FZRWup41aW0HvRBu/xxaTE9/+TY4Ngac\n+5KiuiymGknnrAYOZB6/X8cOa59W5uaszQ33xdJjIjmnTCukG3ChEBFai2SVX1tRFEVRCkGtitU6\nZVkV4RDcwBS5ch7gzM/Kt63EJ8dOc1NtWwHjyE2sZokIQyiQZVWE7emcOKhlvGU1jPmbP45UH07L\n6d7Sw4GX7P4NMAqABnMfSNu+JiRLhD/y7taeClYlb2AlR0B5LasLu7jf7QfgRixlyDQ4ZcWp9Pn5\nU7Y6Hb72Pg6/fThPcPg9WHkaD7DaBqrvg6EnWnXG7UDqtDT92b8f5YvgzX9ZUYotlqfGu7oJLAs8\nezsvEBwLZWrfi2B1Y2+JGwHopu+9rqfx+ASq53hGCb8oVrRcALSIjGq7plH0tj/vBAu7rmDrhxpQ\naRviHNH15hXwzSg4eu/MY4iybtYUE6tHvC8qwsRe858A+Ggza47s1a/DR3fDUQfD87aVdZOqpZz7\nvzbftJY5vXf8Bbb4AxaWw4pSuO85wz394dqdaD2zeDVU13MHU1zpt+qvagameBaQfgLHSrPw/fCc\nrMoGbuCwRR2X0+znhr6qksj7tZi5vaC1bcwMiXAtFVJixpjcrJOtplpW81w58Fj4biS8//d6wFSg\nRTabi7AdUI/i1UhFeb/IvEyZyXcObpAirJzl9wMnFLhtRVEURYlDLasengLaAohk9WPvfUrzBhLJ\nVhjmY1kVAJHCiFURQqwOK0Nqhm5bjDV/ONHFJcIxItwcsso5rh+Fuh9GNBdouw/WHFQiRMEe/Ofb\nG1NWMz8Peb7vBcDZ3dIf1OfZxqPVCXKRNJ9eyvY3eQPbuCLEK8I8wqTtquW8xjCW0oSx4+Gj4gFs\ntd2pfqHqYgi+BPJaAIsrrSpdX08XP8vawULXl9UYPsI7b1gCLww2jZiHaIpg0im+EaS+LegOK5uF\nbxfEO26vcHVE/aUxVrApB8Fr13zAlQvBCTpdHJGwZk3j8HKAty6D7/f5HXAtq44ldllbmD48Zgc8\nRFqDM/yJeAV2dfyf7vyGcOIBcMDhcMtL8Ps1MOl2+O37U1YdN7mmaHoLuHBIQ2TvP9Pi79Dhb7Dz\nidB8Fbx1P+ftuvNelHmT+hQFxKr3ZconifIbw9jivenxsvXd+zc2Y1h6WqwYy6oIB4hwAVDsP5ah\nxy9369/xu+a8KWAFQ9vjQitSNzTPoYVPgHMYeAtY83Kyxrbo3pXLtnHN2p+Z4gwoiqIoSqFRsRpB\nmAtntmRrWQ2eDBHBiCRyJ46eU+mnmYhtJYwn/WFn1EEw/OwEm6bOq/V5XMQD4H6nYj+b/g04I6SG\n++A6/Jz4Hpuk0tEEr6mvgFeBdEvidTOnmDHmTaCGyoZkwDJN1lvmb/+rI6zUMgCfn+hG5w2ff2oa\n7HBZny22PZszS6/g0f/C04/DwzXH8czjMG3RML6iD1/Rh6uXXsc1r8EDz8AXr73FN/SmJfMZeCpc\nVf5nVhVHChdD0FXSO5ZO78LhB8CxIZlEpKaan3aB932BW91zEHRHjnLfNUUwtw988menxO9PGhS9\nUXjF6uz+ropyrJTVMe67Tz4NH46eyiqPMK6JOGbelwy/9w+sNFC27DsAVtnaI5M7axg1xeGu7Evb\nw6xBO6avsPFZg5Pdq9/sBj3PhEMOgzP2gQ5/48T2Zu55VwyBZ7s0hQl/TzU3qT0cfTD8bS+46/MP\nWUDzRpfuIh/WXwOUrnRTMaWwLX1z+iYaCwBbPGd9Oimjnn4EKutb7Szy3Nq6vgGNf406qZdjRXn/\n2ncdhhsel0qFZJO/ufC0STAHOorRbYrZ6WpnKRc34Ozy7SYj6e9LfCNWHlpFURRFyQYVqxFkc2Ci\nHijydQN2jk9UnE8vbmqVzCRJWF+TJip6vGoFM8rsrueIJWssUQFQtrnLEZlRY7YGEBcUqbrUEkJl\nqeBL0ftftty1ii3oCks6OqbiGuZsFaic8BnRFwSoGObbvpdNf7bSy9gM5xV+ZrM7l7/8wJ1v3w9D\nN72G9zvCf3vB5/Rn6LfNzhljLuUfXMbZ3EgVxcxpBO92ggOHbs3fuJ4FTrBo44335ByHEkcQpotV\nr+A5dk83om2apbHGsjK+cWWgEICPM573CaPtL/bYXr0R/rUcgmI1jnlbzk19d8ToipY13Pvu7+6I\nEs8eWO5bitpulceJol2IMave4hkALOngH1c2RFlWTREsb9U1dN2Ug35LO+Yf/C1RdyvLrCjFH3SE\nuY2oB1SzooV1fS7ZLK3+c1tC96N7MLTdv1cNnMWg3/8NT771HZe9CYd9DV1f+xMsaQ/IypJq4LNT\n4NLVVm5hG6mQZPfz6jKosrfzHpdBN8Kw0VE+1dZF1XhWPVpNhenD5vPhOcTcptN30ttYhcRGXhdh\nZxF6xdWJJfk16qd4DTSaC41SE48zp/yJYs/z4dBDc948QDa/L3EsFGFQvoNRFEVRNipUrAKIcGGw\nqADNJnYDFuE24N6IMSR5Og5/mNj7LGgwL1g3iRKrjBQnmXOVOmMozmhFa/wbRB9ra5z7/jl87cOv\nwH3jb2d2X+8c0OjzJtWuK6U1LlfgvRLwQk5q/Qt25zykFldRvM9pDOEdnuAw7ud4TuKeBmV7n3pq\nu/Pg4MPh1oHwWF/4N6NpwcI7HuNInuOAOW+xOxetvp1rmx806Z5t4MMdJlou2N4xBS1Kl1Y6eVFq\nCLoBb/LtG6FDLwmIVYmNXrwfnd95LeooAJZbLLgCpKbEcf1c46sXFyyr1dRdrG2LYaGt4arqGWo8\n732Sz1l1+rXUeZQbbVz0165v/JPi1VaHK2x9Y1lWp8b2/PKNx/Lmv+CF268C4iPyRjG393LevBwe\nfhlmbQfQm3H/hkvWZNoySDlQxY0/wqMvWiX3vfNyWq3W3/Dpn/5cPvwY6HYWvNprGS1WwvFfwIwP\n7+BL+rH8iqqmlZfCAlrwSvVIjv2qkpHfwojvYJ9pdJYKyXzf3GTKMzSY9421EKi+qkXwrZGL1MCB\nx+0HwKSTL+a16+KmdGZSi29FrildAfAecF9knUzY9wHbM6ZLhtouWwWz+2aHCLvjHNTeT0Dv/+bV\nnrfpwGc+rIsUbYqiKEodQIQHRdgmz2ZqVS/WGbGKmzjdoRA/ytlYVncLKctfrG5/c9jcwmRiNSrv\n4T/qQ88X47YtTn1mymva4A9v/SDG9xFk+nD4dceFtJ0Mow50SqOvqaJqAqfVHVzQtTNTzkcDu/4A\no7+bygheoDdf04eveLt6zwfP+BhuewGqLoVnOIgv2Zot+JbXGUYlpVHH3lGilhnUFM2jeM2lqbVS\nAzs6EWwDllXL3dZpN92yuqbx+6E9Hrd7YJ8r1wC3R4yrkkazF0WM3d7ePmaly4J5ZLJxA642Y4xw\nSRWs2MQuKfPvj2vZvI/vPYa4ty4lgNPReGspIFZ/G2B9xkX1LV+0mPoLyn31gtGDl7bzL69oCZ+c\n9TvvXQTf7TfL6tuzC5NODIxj2/C+TRGsaAXT94a7PH/DUVa76pDyNQ2XYImulaxuAlV2kKiZQ5aE\nN2LxR0O4dwD8eQTsczQ02vwhLuMfXz9Xc/BfGrOEPXiDxziCcycUc+4HVmCn+59lxhe38QAi0VbN\n2Vs/y25jjmB565nWPgZus6WRmb6EXS6Brm8OtbYrypQSLP7tgKFd5LrjUrfi9Hm1Seno+5NLFLFJ\nhJIsop6Hbd8EcF9Mhc/Dz7n5wGch2lIURVE2fI4B8nXzUctqBIU4MNn4C4apuj2yaMcZ70pxLGQH\nH2mVrGpupZ5p9pNTN6FYjQmo2W5S3LauZTWTFdZyRS2C1MOWFzvNS6y4serYUVGJO299H3ZztQYt\nq0ECVuXBvMuL7M3rD8And8LSy+HmV6DPksXczcnzJzGAjxj061Deq+41D6qKoNefYRP+4HIuZpET\na8WU+Me3OPVc73ToKo7HXviMF2xXYjHQ/AfPXnuamXA+uMIsPcDSB6O/56ddQg+Jj7ZfTjaG0wOl\nzrGpyegG7KwvW7EgsMZ/If00FH6J9ARMP9mWpdbd4ceehzs+s+p6r9HKBnDtb4+yIOVVW+37DFpW\n7/wMxhr45jB/+aomqxhr4MFx8MaVk/ljc2t/HJFsvdh4FbCSnr56g7vt6kZw9fxXcM5BTYl9/Dzn\n6/l7/Ps/5VBrHOn7HSyUtLa8hInYxR1/NGPMaiAYHS2r+9vy4no8xWEzjuSxyctozCS24UGOY+tl\nc9nlROh1BuxyPDRZTRPga0SuQiT9LcB3I143Y8wa3rrsSyv4VeAnoHR52iap8br3L9h1zHtApW83\nvt3fWz/eslpdL3qSeoePHY+P3On5Mgz8j7OUNDLxeWnXaHapdJyDYV03mefhZ25QaGDfK50TlfPv\nolTIUM90DUVRFGXjIVG4/xiCwVPPy7O9rNjQxWo2USnDHmicMKXZiFWXrR6z19jP/24QoiQ+rtFu\nwJlxzmtJmmU1GMG1eA24Yw+6mVoPXY4g+X443PcOKQEX33c6O/7b/W5ZMGLEqqv9xjCWRziKt+r3\n4/od4Ky9rTQhW51c/5Xj6/2Htsy5qR6racTyrhhz4p9HwJn7wtTWIWOYcvC/fMuLUwFmnIPtzYNT\nkxIgUuNxnw0M17KWuaLSfVDfx9mbQCqZcOotDQv37BGrNfF/E45lNX1+pv/afux5uHdCVCvOcXDn\nrgbbW9wRfh9gjcmxHj3weiWf/gmWtTuVm2Y4NZ2kulab6QGWdgasPKxPP2yV/LTLPKYPtxr4YU9Y\n09gw6ZQfGWtci6olVmdivS30j88VF9Y5qK7njQbkfn3wDbjlm5Dd95B+HOOP/6enhTXidOqc285k\nn//Z+XsQgj84nkjKU1tD179y9ZRNGFwl9F5TxM9nfgTNVuLuelHVKkTq72bGtxy+6kOO+G4pLZdD\nkfPnFm1ZFFZ6ssC0/mYl8LSvRvlC71IGv2vbL3tuxLTUkSdDsvtkNPuc6XxLeiNtl3aNntsOBtyd\ntEfX+lm6HBrOja2ckA8YUwzlC/1B83LjbXa+qhBjUhRFUdYvCipWgb+G1lpLbChiNeoJK1+x6pBk\nwlv0eDf92Ppck3rTnsSyuiKjK2w0boCloGW1uh5c7XmIsuZNbm4vNRGhVIRGIpTgiHRHrC5tDzOH\nQPPp+3laDO5L+DW1zZ3+Zevh+5mINqComjJW8xDHMJxX2ZZPuW7TXXi5p5XTct74WzFXrDjWTl2y\nxj781sOt10rW6Hd/u9VlrXzLz91jDcCkxuAITQNUp9xHpcYV0GLwnW4r/6fXsuoPcAUSm0vUJewa\nqkl9ZhKrkhKrwePpvwhMkV+I3feO14XV6a8bYB+cyMu/hmfvg5u/gx/3MFQ2xJhUUKXrgD98babP\nWXXFiBMR+P7xX/PfJz717hXO9eGMwxq7u48zB8Pko6zvxVXOOquz1U2/t4NM+alsCPMyxe+JeVv0\noyfC9h/daxj/f0fzcWik7pRMBDCGmcbwS4aOQ4aS2t1MAq649xl8WfZ/DDngcFod/wUsvAom3AOn\nfArffnjnn4CFz3LAuTdxFodPW8b8a2D5v+CeZ+GOSR+zWuqFB5zyp4aqJpjGxu9CHG9ZFXvDWyNe\nGFSXwtCxSUV9pkn8SS2rkmYdr78I+jyWcPMURex9NjT1nOYG85EK6Zy0ARFaiVBOhw+tsM8HH+m4\nMuf3m229vMzd11lRFEVZH8nv5W9ItpQ828sKFasucQ80SY5T9Hj3Gh0siX1YEKEMmErJyokJ+g1r\ny3UD9lpW73/b+lzh0Wv+iLRVwA3AUiyhcrTVmn1oHKvVzte8y7I2zpNpsP9wK/RWj/qXm8z63Rju\nDK0LtGQub7AH9VjNrrzNXNrA0Z75kZYVqxgr/6qT5if9WHR6N1AQOE1/bB6MHuVVZjUpgdTxPY9Y\nrfG7Afstq143YLfSLzulDS3F8tT5cOp7c9J4Latpkbp8OC83fh8wK7Dmg9D6l6yB16+Cn3f2DrUG\nwBiWgZ30M+gG7FLFquaWZTQcR+wZJp4Gk48JrndvnnP6wvyeK4FX8J/HuOBfVr3lbeAZ2zJrRcc1\nWHmGrzeGN6hsYJ2PGcNgfuRYXV68zfoccPc9gTXuWB59Aaba87SXtStifMXDLG0Pk48MGyfAL8Bn\nvrbuj44xlIalm4XMPzglAEZo/EpPK49r69HwVhc4aCrML60/C2jehKUX9eR79t93M+pfDHsdAx91\nAGnyK2Ws+QSRmxDZSoQrRTiNJr+UMLTC208VUOz7O/BPF8ggVjO8eGnwBwytyJifRyqkNXGB9LZ4\nFpKL1aLQ4GHZz2Mtpt5if8n5rcBxW0/GXOBWBt1gHacerzoTYPN7QLBeXuqcVUVRlI0LFatriUIc\niPpZ1E0kVkVoJ0KYmcw/3v7B51y8UXwzPf2sBhpxboftoqvENuEGWNr6IbfUyUfqMLeX4wbsbbSH\n/d2NHOaI1VLLk9GMMUu4dvZbnm28POt8EcFVxauaIjXQ1p4y1WQVqxHpgsioL+l73OVcyJNPwppL\nYPqN8MvqrZjAToziCVaFnkbBGOYYwzjcFCnOWB7z1vPRJU0g3A54HYZLgN+AbwCTshwdORLafuF2\n4wS4qix35ip6xeo7WOLE7fyTv4Tsg82vqfmTTv2PPWtdy+ry1qP5969EItUw1hzG5yceEljzBk5E\nXi81pdZ8W1M0xQ7uBH5XEWHaPvBVmgAjpG7YBemK1Zdug9n9guvdbRZ3wtz8XQNjuCZYKa1tSzyY\ntPJXboAXrPcfxrDAGP5mf7fG8enp8J/vovbFxXHnbf5TpK80lQ1hpTMP2j5t1WXwzCNQY18z710I\nk056wx7DEmPwR3JKZm23cIVgpnu2TySuLIN5jeCfu8Pex8DOgw67D2Ncd/NVzVlVCu++OYG7toVT\nR8Ic2vQHFgGvfE/3C87nqsuLSpYF78dVwb6SR/AGpMbdjxtnpK+37zkJohtbwcTe+Wf4WmvqRVK1\nWcThB6WXZrNfFsWUL85cKzObhQS8yu93MS4OgqIoirKhcoIIffLYPvjbs071o4rVKJr8AsfvYgVG\n2v8Eb3Sc34CHQ7bwj3f/k9NruA8KSR6e0sf+zj/hj+4JNvVYVjuPD68x1liWpmD6FHdsrrXCGfcH\nPgtxUaB+ChE6itAWz7zHA36dvfzL22Hm9fDLJa1WLLqSTsCnwJFNWdy6lEqmbgIn7A/nDoPB5c9x\nIVdikl2ilnoxqc9IdcUe/gxJxmCMwWuxLAZ6AvsC4nNzdKzQUgMd7Oiwd6Y8Vm3lQo0xPGEMHXGP\njcRezu51EVYpZVk11/6+kqWbZmzHGJaCb5+qiX+rNs+TNsdf79GX4N1/RI0tuVjNDm/9kIgwJljH\n4uOz4aujcunP4otj3e9jDWaM+ShQw38MUm76gUPjpBB683L4cPS3Eb1JZO7X0NrG6SjTlIQtYtcW\nVfknrT/2vCUW5/ZOFbVj9myM+T+g03lcwyieaPjBklHtDvkGWroe1ZZl1bvv3mkLf3QPBmvzI56d\nXxjidTx9L+vzqSfqiRBnYbUG8PYl4Wut+c0DY8fi0Oj3CE+cxJeTczDuodvrSbeJo4iyZe7SZhOs\nsrxazF+sijBNhBBVryiKotRROgNj8thexWoEhXADziZ3wNa+pe6vQWfbhbTF9KBCCEuFkHm8rktu\nklf16Q+l7T67MeWSFu+a5mx7hm9uXZCaUmtMYwV6pfIBOmNLF6u/7Ojd2h/5Erz5ZG8B+luVajiL\nG7n3k8/qXT4Y2o2Gf9dc+KXAJhjTEmP278zMK8/jWsbsBo9sDc9tCZ+VRKd7DNuTyDXReSDh8WeC\n1sZjgOOMYbkxrCLoFphyh/YIfHeO24dOj572XiU8JZIf97pwLF7eNmoCZSMwfB3azlzfS7NUG7aI\nj7pgTgcuAkaF9J3pmvY++QbbN571UX1nmmt4pTF85tt+YZeZ9lzTbAVpxuTEMbv7HpbHgb+CY3Hz\npolVTv0AACAASURBVO9JJ+batG+/s2IcKFJ9pdyAZ2PNB47ipth2iqr8b6dWbGKJRe+85DFF31vj\nM9XPciDbMXHOE/WGrzh9Iky9BSbfCjVjmWaQfX947i3u+x/c+Tw88sbP7Hq3nb5oXq/QdDFSIbtI\nhcS79049ELZ+0Po+fdiZwJex9eOwxOoDieqObn98aHnxGqRCgimlwnCuD3+o7d5PJOo+hCKfZbXv\nI94+cmyxIJbVHriR8hVFUZT1g3yCLKW5AYvwmwgxc9wKx4YiVqPIRqy62eDrLcb3RtsUhz2IB4ke\nr+Pxlp1lNX3OV8+Xv2VR5wSbes5r+WJY3Ri+CUmxVFPsWkNaTQmOzU18Gh7oKV2snt8aWn5HEdXm\nMi7ufgNnU0Mxx/EAe+7b/ZvHt4IFDeAGzpmJMd70KqEBljKQCklsDFVEnevDDgttHoBNvvUG8sEY\nHjaGxz1FS30P8c414U3v4a53cqB6RWKVMbyNc6xuCdeYFFXBrZMXA0eFrPVZPI3hJTPWpCv52744\nK2ROKMakztP1YV0bw+3G8IEZY55zRhM+yBTPer57T1LwKdiQbln9k/052f6cGdGHU392YBlu/OFu\ne851tmI1U17QsOi/DvONYXpaqRN/acIF/vKPz4aJqQxEUeMUFnWGxR387tGvXeuv5URAtq8z+1r/\ne9RAM9L28z9Cy70vZcR0kgopEbFcx2so5voj3q2/+/FwwOGW50NVEft15/t3z+3fi3c6w5RWMLV5\nKY/+fh0nToKymqqo/R5PnPh88knLPdpJhVW8JkEY7RgOOAEaBdMOpyMVEn3dW1F9/xS53iW8jUMP\nT7BpRHve+6AbETprpEIs/3h1A1YURdlYyecHIPj7VgS0A3bIo82cO69LrGuxarkbtv4aLmzmjyJb\nkyZWw3DHu9c5/jVOXojkc1YBLggpm8d3I4NlYW25T57li+CNK+CpJ9PN/6bYfeC2HoS8FjjXmhz+\ngJMmVreYB/evOJfZtN3zr9xwfhvmcAhPsS2f8lmrRh71n8CynCFtjzGcFlgOS/tiUW7ryA4f+sv3\nuGh8hj6WM+pgV0k0sXM/9n7SreRaVqPT8DjM6x2+rqgK5m5VY8aY+TFjib9mKhvGHjBjeA/wKqGo\nYE3elyRx0YnBf+M7CzgjUDcoVp3lC+wxBfPBBnH6nxNSFgjJ7CPsWEVfHw4fnJsuFv34x9vy+/BQ\nthPOh5dudZair/VVzeH6QGDgYETh+ZvDPRPgqyPA3d/c345u9vGy0PL0iM+NACvqd6fxZXT4uBzg\ng47wencorTaTZ9C96n8dOnB/f7hhB7hsYEv2an0NJ34Os/83bjQiwbnTmZlyKPR6yl0uWZ3/b1Sn\nd5LUcq/7pW39a2zrZoL5s9b6hnMyVEtI91ea0t4Tk2urR+CihtuK5GTVPAUgLZWZoiiKsrFwlEjO\n0yOjAiytk+jytSpWRThChC1FQseRSKyKIMBtaSt6PwG9nuycxXCsA97YDqS689XumpqS7E7GwFvC\ny7OzrLo88xBcNR/gGdutLRObpb6VL7QeisMemo1Am6+CQ/KPrWQVNA8NYumbs3rCJHjvXvipuD0n\ncu/ELvx4+BE8ztMcgtn2Dmj/mddVIMwK5yctqEmWfw9PPeYmLC6uhO6vQMtpwVoZUxKZMSbdCrST\nR9C41jhnn+KEeMvQUuu6iLre49o7C2xLcFVZDfAF1jzgJNwaUrYf4I0kLCHfvULJ+/1FYwhe+FFi\n9XOPxTcOp87zuH/jTlm2UW8yz7Gb1xvzwblCusuwMxf6F6zr/ixrJBki2lpEjdOzrefaDqZOAcv9\n3sr/mfuPw4JuzrdwoZseBdedBrDd7VHWzWJevB1qiq2/balhcnEvdj4JRhxT1Qy4C5F7EQnLeBxN\nZUP3e3FlkrRhLn/0cL/Ps6fv1guZ9pyOdeAfew4eftUq+W6Evf2S1GgytGHdDE4YkqS/zLT93B+B\nq94yKFsBSaYWRCEGSlbk/Ltv/96CRhRWFGUDRoR6IvTIXHO9o3nmKqFEzVnd8MUq8CgwBUjL7ULy\nH8O0EKOA5Xo1/JzsfKk3fw4OPC69fNb2w0XYJX2FD3e8UYIyuzmrLpOPgpUtMWOMYbeLLf/CeHcu\nK0dNo9mw1eNOftf0DXq8DL1tK4YrDv0X3vY3MegXGPM2vMawZXdxMojc+TttO31Hzz9m0f7MVZfC\nTa/ALifA2Man8SL7DZ5H6/+k2uh3f7DnoEUt/WIPRsFsERIxNI45/VJPmPR4CY7eB3o9HayV2TU0\nE1WpmCxx8zMFwBgWhrZhWdxD/xaNoRLoENW70zYrW1YZQ39jEqfHSBO1Zox50YwxmeasRonVtEhd\npB8TX87RGDyBqVJWZeeacbb9OLhRyPZeJpH8fEeOzx6L5YJeVJnk7zgqrYp7bOPmn79xZdQYsuPL\nlIt4uFhNd4E+3L1fRe5mCcvaYiqqrNRI5QsX2aKaDzrCeXtyCLAEmILIuUioZdKa3+lLgeMZYvHq\nUIEowq8iHJG2wjtHf6X9bihk3roI7UV8x7GU1Y3hu5Ewxw5f8P2+1mfZCrdOPFZHm6S9FMuNPS7u\nFrEmPi1QHH0fgX80fE4qZL/MlUM5DICTt98rgaVZURRlfWU0UKCbeW6IcK4IxSI0F2FYgZoNpjZM\nPJzA8voTYElEykXkYxH5QkS+FpGxdnkLEXldRKaJyDgRaZahqavCms9nbACYouzaGHgLNApx4bKs\nDuO9LYds7fZVEuFxmI0bsM91TQD2BKDBAstM0CDSY9Sl/73Wp/UAWeWxZi0DJvqsOOK3rBZRzQhe\n4Pmp9/LkU9BqBbzAfrNm0xbgi7bMOa8n348YQ8Wzvbccy+ZnwhS//cR9ieB1MXzv7+DO73T4maD4\nCKZ+OMvzgmvqAZ+RCcvSaOFYVry5D8dddZcZYz7J2E4mlqd2Os4NOP46tF48xAmkqJuLawGsbJit\nKXpcQuumM+/1RyxXWm8/mcRqdWCdM6ZwV9R4nLEW2WOKC7qTtu/GsNoYGoZVDiHTfdE67r/sOJlZ\n22aomqRPe7j/ChyWuz+A6b7gTd7z9VLmdr1bRnhOhDYNwE0cOgrafwply6OOh19IFq+pptrVc9fu\nxD8x5q9YkbWPAG4IyQJj7bRXUPojcEf1vSkwlMlHwkdnPRi6Hx3tzENhkdmhfWC51Dt2wPsiyiGT\nSFxX4i13seqyZe7bGejwSRfy3F9fajNFUZS6RXxE+3XDtUBbrDgVr9XyWNZfN2BjzCpgV2NMPyxx\nMlxEtsc6sK8bY3oCb5JbQJCkP4QBlz0DWz5jf81KrEYfcFtsicRevJktJQncgFNuVq7rmbWB4Q3f\ntkkCZZTZIs16CPP2uQMwmFWedwgey2o3pvMuQ/g/LuHDRl3Y4gw4Y1/4D2fO+yeXgTG3YszzGPPR\n3Zzy04wVO/Fb6siE7Zqn7PMTIXDOjGGZMbaF5duRVtqKehF5Cn/dHt79x+cZ973G8+Dp5JJ1ojsD\nzO4XHmgmdzJFvo1maTvI7cGvMsftINm8R2/b+2BZeKPEathkOOetzWLgAOBlYxA7tU4cTn5Tb/9F\nIWXO9/C5owkJEe2xxzRl2Xzptne5a2Km5qPmBrvM7m99et1fV7SEX9PiFnjHFZUSB34PczZJXZbJ\nr5ct/wenbgc9X45I6eL7/XiSX3b82Pd351gijfkYGAEMnHoL9HPCAbx0CzjX0ydnukGp7nvPbaF4\nTbTr7X6nDLBTxFjX3ufHey3IPkQyWkVLAmO37okTT/PXiWfdvGk+fP+YEO+JSTSfJBT39y3f/Z27\nriJJKoqirMecX1sdi9BUhIas727AxhjHR6oM6+HEACNx0wU8gPWgmi25idWB/4FRB9uDK87mQb5L\n5DF353PFZXq3+mr5XYxYTQ01bu6T1U7XN6LWWw9M8YnqrVyKZXbUWushzLvBamNY7XdXNnRkZvF/\n+EuPD9mBJxjF9nzMFW33YYVbLTwPqHcsmUT0kg7Bsbgs6PYUn54GlQ0cN+ABaXUmnQy/b5NZnFSV\nu30MOy99/bzeuVj3Ynu0P7OdS3kCTz0Fuf0tVhEu4qIIS4kTx6PAk5B6obAAv0CdDrwL7BPmmmpM\nyqJaYwzPGUOYO8CSYIEx3Gd/DROmmVyTYR3dPIEkLzyeiSh39+OTM6y8x17C5q4m5YW7QnqLPN35\nuMKn7mNmjBnFI688H7BOpnZCxtKy9Xnsce2OMP5+uGocNP25Fzjn7tUb3KBU8z2pYkvWRP9dbHP3\ntjScBwu6W6lwnrsPftkJbp46LqR2dO5liyZpXjVSE7SuJnMDXtt0nJAo2baDVEj6783PO20lwr05\n9C6ea6kQ4jyT15WiKEptsK6eI+o6M4GXgZsD5c79P9tn3pzI+8dGRIpE5AusiJ3jjDGfAG2MMc4v\n/xzC85JmbDphPf+D6j5nud9rshKrIbldnJEkumatvjb3pe5czD0ToKrMGqMb4CderJYvhEGR6RL/\ny8yd3/fM66oRSRN1j1ot2deQ9eDrvaCsHbL3q6wKLvppApPp26sPX/8/e+cdZ0V19vHvc3eXpfcO\nAqICitjFimKLYtQYe9TYe4maRFM0WTZGfU00Bktir9HE3ruCFcXe6FXpvcOy5T7vHzNzp9yp917c\nRef3+cDemXPmzJl2znna72m3N+9xC79CyUBDZf41uqGub7oshG1y7G+gvoV9fi9unnYj00YY/d19\nFIyU/NQmzZfPICqXJEBDRfhDW92rNrKNZIiMWQ3AcmpbQ2Hf4izgatNC5UXY9c+JE/eoyhjVXP5V\nC87vbbUq+6ryckgzuwCB7taqtAMWBRRHWVYtBGp2EsIvdZAvTGtspMJDNdCCHfxOzN4Dpvw02TFO\nWOlu1nV0HJn7/C2Fm/X8k9HDzt4DPvyVNVZ6xzE1ydwsOIW7bxa3ovrunWH3s6B9DaxYuB91lL87\njqHczrmr7+TsccfxKMfok5z4FZzxGXTWJZVEYXVPd6LapYNq+NdX3lqtPdveezk5r13JelmSm4Zl\nNTR5tC/yw2yWDNwFOL2g05dWWE0XhClSpEjRdNEOGADs7dm/6bgBA6hq1nQD7g3sJiLbesqd6VA8\nGOn495a3MO6EHFyvobJShAtithOMFnkGlGCBpLzGuW8Ws/eE939nUO7uc621f0DI2YQ28wMLtUrX\nMX/nbx0LBgE+dbA0Gv1rP9NmJW5wW1Z7MjeDyKBLJ83gscdg6fUwfPl37M6HMpy3P5nCQKNi+5lw\nuCu9YAzLqs/a1xL213W29oQzpDZUQN93wU+BUFZboxpDk9PQPKpOSa0gjj75fVMTfPZZKMeIP3wu\npI4fmmmVvq9V+hUfXwAJrkfVwRadHE8AfparoHN9GkMwjpP7y8+yav0OI1tKgi8cv+NoCzeOJe2e\nsfDcPdaWUyB2f+MW7nsrv1sf/gpuWGhbbEVhpL6iVeq1pCbLu/bOlfDKKMsF2Su8qeMbB6iQatlO\nqnPavpYAk7rAuUdA51Zf819+ceqf+Qvz6dFwNnd/dQmjOIu7OXwyHDceZsw58dRxDAWR8xDxj//N\nT7sjLBriyR9WCF1/3tQVbVntGpBL2apQLf9M3g8vEgqryjZ5+8pCLNbhEMc9KYWwmpI0pUiRoimi\nqSjSmkI//AxsoW7AIjJcREZa/4rtQMk0waq6EoOF9mBgoYh0BxCRHgRaTkY6/g33FgaltPEiuI4x\np+9m+lxHp0AIsqDu+Y8Y3TAnXcv11oBhVRnzF5uh1XCT9Vqr3O1E5BglW6Zs/x/oONW513kfysxE\n9rTaAMesfYsxDN8VkXFfsD3f0vc94Ouha2Yvn9sG9jsNfrLzsUxi6wyGC7eB7s61u+Ma3WhwCavl\nPjw7vU1ZIi4bcvMc/5KP5JtPW+qLfHIULzbGIukjfIiGVBmXi4tc3QNq2jk1Gl+qcpiqybIZE1ql\njZIwUZWXVTm4xM0GCUxxY1a9H26hg7vzuWxsYfXa6CpAPhmZBZsm+FsPUfnqHvDKKNuV+O2r4IvT\nwP++WO9RvBhGQzC02rkBuNFZ6qndH4KJsJbW9eMUHvr8VQ6hmpGrUD1nL8ZyCK/yi2PhkF/CT3r9\n5ZmbjUxBRwLjENkBEbe1NT/tDuSzOEYOCHnINHjjhvtHHCF5LOb5uCSqQiRaLk+SPxyW989nEw9g\nWY7ESSMOZpsnrK3GziaQIkWKFD9INLE0YX7zhaWs9l1vqepbqjrS+ldsB4plA+5sMf2KSAsMxtqJ\nGFYiKwfMqcAzBTT/d5yCUzDsa8iLlxQwBMYVgC8lpAtxGHYNBFtWu0zwqyeoGEJM+8jMIrVk8oTV\nM11bnaYYeVx6f2if173gLzt23WhufRFmjIJ71v5h/HDergX+8weu4y2GnwQ0O/G4us8uGwGf9MJf\nUHf342P8P5o7c67Cdc2neq7fDYMMBYKFCaP9AS9Z23VAX4Y83C9X48NLfeiaQ9ramFjT7R843GJV\n2U01wlJ123i4ZfLTANw0C63SaSXqTWMMaGFCYRKBMUjw9hNM/VwxS+HS3VWVGY7tOP2PuufvBxWo\nEsnM5NOP3LWrshR/BmY7ZYuFMVfD0kBnjnqzvXjKD0MwzJrHPKDqSjvmvWdeocpdbqTUCuMB4MPW\nW6x+mJMBRgD3AS8AM7dzysB+ltV8eN2JvXVmcP+ba901sjDhGOee0SK+cdcWMtT5yJH/+jp/XyF4\nqEAyyDXdvczH0GdsZx+PoWhs9cpQjj7Z2io8X2u1VJiCfVOwGqRIkSJFU4M1vg4tdcMeT8w4KAUD\nfVEoVjPaAxgtIl9iWJVeU9WXMLT+B4nIFIwE5vnJAv1R5dmOo0G2r2HQ0+6SNnPBFiaiXLige1g2\njGCI8HdgtNEbl6ziyCtprqhOPNx/gWmh1UI45UDvXndM4MAXjFhOgzgpZ1YZLOMrPpWdf3I/px5z\nw8qbWd4czjkcuvxOj0H1LFRveZlDWxyob7yOqnryRfhcmEtYfRCfRaAq65lxANz+2Wrqm8/g4N8E\nX1v7WZagGTcgu06V7zj6ZNsVss4behaCT84NK03ysf6et6+aT007575n9O8LfkNSN8qaDrC2Wy1/\n2XAmK/sG1dpYC7imujD0u4dHAbc7tq3n5fcdvwAcAAwC/uU5Lgy5XMCqeay9xQqrfwYOidmPMDj7\n4bUOVlL8M7WF1CUD5kX3xmVZzSuNONqTjFxQdVmz81FWZ4ybqorqjaj2Bi57j7159hE49hvotyGP\ncFli9MWLliwd4D7Gn5Sqk9/O3Hmdx4wyc0OvLMbr3oHvvCFDceGTD7Xt3BYMH5m0Fe+FFLN+uIMr\nW0FV5vki2kiRIkWKjYXGXi9ZWtggksZikHTsDvPEafoES6r6tarupKrbq+oQVf2ruX+Zqh6oqgNU\n9SeqGuTK5sVY7yliHGNPxHt43HVbLgP7JgcKiSI+i8pVvWKcOoefYeWtc3up2pZVMTUTFUbOQosU\nSYTOIthSS/cvoGWextufMtoUjFuzmjO4h/s57ZsBTHl1NW1a7Nnpfv50ADy7NdSW26lCAheHfgsz\nt+DdzKcfdvcW7AjN1mznX26i3ezl5q/wmFUbdVIti4A/OPbFdV+TiNcnfoxnlV7PmKsXcYcrvWvh\nqWpgLdlmG3sg/D4G2lJZVvOEVVWeVnVZ3awPyymsilm3QZXRqkxW5ULV2DG1+QReNgKSJcfGctWC\n8sl64fxW/OIu1wC/5uEXob6gbCT2vX/+zjd5OCJ9q5FXuFBh9Reebcur4HK86c0mH2787f6ZKwjW\nOIs+ug0TGL05nPE5fDTnEvbnzYhT5/Ut9/2L0I76Zq1pqJTwQyKRcSn4lvc3YoY3tLsoaUO+8OaB\njYAIe4uwL+ojrBo1kp1/+MjvPHuKWT8YcbSiGRG2iqgbCKkWkWpRqQ66xhQpUqTYJFECAlyGiXC1\nT1HSMJCwvmwaBEslhnfCiSOx24LbZh/6FGcta0TYDX05r/jB1+HWCacxb2e/+t627BVKkLBqkOhA\npsG6RkvyeRWD1RUR/uzK9ffBJe8wpto63okMQLvsKq7kr0xmIFVU8zk71vViLhdzK3PLzTXemGq0\nSuf6XQTisKz6uQGXubwrK3364WqNaCujlQQxtmUV6II7oPmDmMe+HVGedHGjLN/CuZ3MompjWwrL\nO9wUUapB6kLgjIg6YZbVQhH0DmwF7FjE8VC6e5MFtjd/e4XVWRiuxmuYeqglSIbB2adl5t93ACM2\n4dt9lzP10PyjZhywgfk7LueaNbBoW6tPUe3HwaMAqtygyn9dJZbQN+z6XCiIVEtOqTeHzRi1B4z4\nJRzT6a88xVH8m/M4gmfZm3fb/pnqQT08qapD+nE+DZWtaai0CZwWDoHvhiW8HITz8rNtAeO486PY\nMeZSLUL7WfkFydMZvQ28RV3LNr6lMcP/cxhe7d1TzPrB+e1444sLaaeprWVSpEixaaOpWFaLwa+B\nq3z2Jx0vwwgKv5f71Oh+yB54b2Ccm2Ac09w02n07zHCXGnadsV1W25yG5tFteVOuaAaWDlwXU5tt\nCy5uosacsKpVephUiyIN3gWuc4VZ7cp9Omv4QiYfCZ5FcSaL7DcTrp9+PfMZwuE8z2fsDAbr7GDX\n9YQRDTVUTKesbj93Vx040iU/hFhWMfooGiXAWQJ60LPwWqKsRXFOSlSNlxxZlRlyeK67XwA7xDku\nBN4FuqWgSPShqjIefB3znCjESuA9prEH2thQ5W3iKxdKKaz6QhVvHPGCQpopRV+A8ap8JUIW8uIl\nt8F4DxuAO8k0ZImvAX0Cg8F9HlEU9A++UYlBnndIaL0k1zzpCMjPj2vD6dXRegFS3eN+4FSpli20\nSmcw0n7d38nswzZM4J9cym+5gYFM3rUl67a89Dbh3b7Kx71gS0494k2Zs3pLps3vy3cveLqaoawW\n19j777zUN3Fgd8qdN7eWVZsleW9HcOnmsLwfdJjl23xMGJ3QjP88709MlQTFCIilEi4zjr8RzIQp\nUqRIsclgYyrgStn2j9KyOsezHWqBE6EjcCUA55myiGSNuE8LFevW5h/pgzwWR3Nh8EWsVHT2JJl1\nrUlqgV8Bf8ntmX6QVyArBxBhhNGS75rGeE4igsi2s/7JFbe+BLd225ef87QlqDo6jb3Y84+7MvC/\nZ37HM/cZv/Ndj72Isqzai4XtHzCPWAm/sbk9tEoVw5LsmxdTFWOFuDbn+WeRohSbOH53+yQ0FEhU\n4v0g1wXs/zEh6Nq/oXS5Ty1Y715Bvq5FoAcQFIi9sV0PT8RmDu8OuJKvqrJelVozl2tbympjE02p\noqrMNf/6DxLf7enc8k+b42k27vn56mQIFVYdRf3GgE3Y10KqxT1v1bZmHr04jsfZh3fpxqLRbVhz\nxpDa6Swub81WS6GG5jusofXf66gYBUwcx9ATW7KWMmm4CGlQQ1gtWg8SNJ/WJmzbCMwPy1ldCiS1\nrObDNxnw9wxL4m5qa5kUKVJ8zxChXKRka7LGXtuVwrIadA2xxsu8e9lpckiTGxdNaoC3rE7OXRGH\n/BQw6Brbmtwg5TWw2kl+KCfnHeUHr7BqWEiVz0+HhjzF9Oae7SA34ONVuUWVj8ztP7Gua66uCBUY\ni1AAgx3KyWxpvign8N/2iJyI4fb3/DddmTL4Qri/667Uuw1N+czIFWuDpdAZB9VRY8qB2z0cWM1E\nOQZpTJALq2CRtXQwGY/bzMObM1aVQ1SZHHKezjyV64ubTWl1j6g+urH1k4+Yv+zFuLCY6T85ELg5\nWWOud/F2iGfhbUT4fTulHmV8EwKrMkSV1/3KikBgzGoRiDxelQUhJEAb2w14paoRO6vKYk8Mr/tk\nymrWdI9KzxLVJ7u8ph08c7+zzDlxBmnA4hMtTDwawoRVZ+znQEcK4tU9mlHb6gRX3Vpf0jWdq5tz\n1v49OfUoOE/+zZE8y1ZMGw38bEumDVtLa5bTYdTVPQ49pFWtelmFI3PQ+PU6YH+t02orEplGx7iP\nmXp4+v4CuuFBg0e/89Itxt/ihdV7izjWda9E8M+hG42M52+KFCl+vNjonldxYKbLLFaxXooxLWjO\nL0wQvngQdMtjt/9RWla9SM4y1fNT+PBSe9uOuwy/oV5hdXUvgAqy5cZkX+kKgPLmrbN91qxF1qhp\naJV6F/NbscdNHQ3tBAAXOMoqK6lhz9rPOOFr+OUX8MTc63dShP9y4pcYvudnAv0PPZkXsxngoDx5\nyU7+nstpGvEeuVzBQuteq8qLqlwfUC5g5v7MtZlcllBlqWOh6l6F3v55ssZaLbGIpZyLYlHlzQLI\nb6x3sSdwoVblSMMK/VBLLegUGkNbEFQRVSZ+j6e07te/gFiJj78HbGzLarL2HxgN//By4BSIDW1h\n2VZwdY6XLs5AEf+9NQSleG7AXRyv2TP3PsDLo/7qqmsIq9OxPTHs+2alknEKv6ofd2PhBb2ZzfEn\nrc7s0uK1fdZcB09wNDvyGWXGp1TI3BhiWXVlzvEqZb0wOltWC1NN4+XM/QrojglvKMiabsbf4oXV\ngiDCEPLv1RoRDiqguVRYTZEiRUkgYobRFY8VGGuVYlAKy2oQko+XlixV1wI6T4SzdrNKNrILkIGm\nE7PafAVS3aGbZ70TuPgRYTr4aGOvX4JrYVAenikmh4p1sL49tDBlEGOR8xLIYlb060K7b2HRkKCj\n7TxImXr439OwfAs/db+x4jhjGPx9EUC7DA1sx1fsxftcwd9Yt0KoGA1z28A8yrLA3sBMVO20Ehbz\nYUWNYZZfOtAqGZSrY7gENvMlTrKhrnuVqfe6MVu11urISEbnDGIJq+Ww1/XQscAUorYLoPv5ru1W\nUHNapVmptsk/C+uU8S76KCAa21UEDDfnz2LUawp9LRQW8+9bwFuN2hMbG9uymmxCWdv1coz81MWh\nvhksMMMqbKtcHMuqgbvGGS61/mRDrjMFlrx0G5xv8Uo5buUvR+QPwnUtABpUqc2LBbdIpzpOBXNP\nRwAAIABJREFUhxX9coJbPRUyl97M3Qpe2Qoq6+BP1wziIX5Jb+bwDvs0G89gHuFEusyAr7rBklZA\npylAQM7a/a/sH3A1GzxuwEH1LBj3t3IVOc8Xix350Sdh6M3LAo7zR72HG8MiamoEYdXM7/cVyhc+\nX0+fAppM3YBTpEhhQcAYZ1STzcEiVGKEMIVzOMRHYG7CmMgb00R4XJVji2zXt+1IVDgiKo87BrpO\nsLZiClnFoWkM8GW1cPZQgFm0dskCYS9Lf8CQXo4+0d67vpObNTGJZXWVaTDNGsFCptvdu1SsNxcp\nNkToKkJ+fptBz4EKqvjFyhoBsCpUUsMfuHbrtxjOKxzCL3mIP/MXtu7xEFteAvueAb/o9dsvUH3f\nJagasJ/bxYOg6zf5ZzrpsGYxLlvZ0NbeKgsKeZMoq9295j9DWB3yCBz0e9j57ojDAmBbEYKsuHHh\nvfhTMdIMlaItCxeZ/0qJROwuqoxTjaXd2pTTO/iNVYVcj9M8vzHdiL9/YTW6fjw34BsWwOOPesv2\nidGOMfDOHWqksvLDxCOd5EN5llVVBJjPQkcWrHCFG+ZjaPDuAOAZM37+oq3h9648yS5sqICruIZt\nGc9WTOVxjtVBTOIVDuHNB2HyLXDV2zCo130Gd4Af+r0VxCBdm/BVM4TV2tbGXDb9IJhhGh3rm0P7\nb1tKtZwQcrwbKhahldm6JawWr7iXaonIdZR/iPnXT/NbiAtfallNkSKFBWscKJik0lSolQL1IrQV\nKZhzxW+APiZhG0GTZ/BkGIRcaOF6p6AK8IgI9yRuL+npN/YJYmGbJ6zE6fez433OkvtjHT/ElfXg\nUpcWO1AA86BiHazrDFMPfoLPztoOOMssWUeHmXB83jvyPlbKBy/aBbrirdthPrz4zCIW0ZVrufKE\nh/glvZjL7ozjAU7DMKaamDoiL9u9CfdzK/MoNixmZIB1XcIYEpUaxzsbbIUOFYRUOVOV83KW1W4+\nwnMS1BUavhSJx7VK/fIbxYGvNUmVB1S5rYg++bX5qrloLzUWbYQ2vy+8B0SygEVBlZ0wXOoBnqR4\nV52NiaRhEMWO58bEVtMh3xpn4DlXvXxECxvu+NKgscl49+9539jKxPIy8irUjD6u6W7vKXfMBT8/\nZfcgz4/FdOUhTuHnPEMv5iFVsPtZMGQhvD7xdoCHEemIiHsxUd88aAB1T0J+aWn8sL6j8feh16yU\nQYalu8Os5uBJ9eOHzd8QjjzNmAMnOJTxBVhWRfANDAYOlWpJIvWK+b99zNZPWr8KifFKLaspUqSw\nUIyw6m2jWIVzK4xMAlFhH0HYmG7ANyY+whJWcx5PLsRXnhaIpjHAD3wWvj4J4DEGPe0s8dVIiLCF\n334T6pqEWy5+L1YfKtYZQtLDrzynz98+STWnKbgw4IgueBdnmXAD5N3Psv3rD8I7fWGATEDQ6rs4\nhwbDIGEs3IY8Yh/QUBm0WP0SgLm7mpue7/L3He3f437lzjbohrJqM3vLKfS6ryWuT3rpUgcsLThP\nvBMjsRkr22qVri+irU3NhfYj8pUpN4OPN8AmAFUeVKWzZ3ehE9Iqs81pqoHfd+x2HBjr+F3M+3IW\nsBfwUsLjSmNZ9cdkoMr8HTQu+QurE46CJWaogpsbIHy8mL2H8bfLpOA6NgGRMwY9+L3Y5vEuAGz/\n0D/46flhZxfnr6md4fjjYOvB1WD0eymwBBGbaXyzsecBMHNf73vhFlYv9fLz5cGQJjf4pEdNwiq8\nw/3CDg/Ado+4x3PLoprMDfi0kDL/PK7+EE7b173HVgQXEpaUWlZTpEhhoRjllbU+LFV45DCM/KQ9\noyoGYGMSLPVJbEGOkG82NprAAK+w+RiY/hOAsXQd75NGJg8Dw4tl19zP8hrrxfN9aDlmxop1NhmH\ns3eatyDNHZq354A/Gn8rPDKRSD9Enj7tC2446wi4fhgsLO/obcNY0Ox8l7H15H8CTgtapWNY3m8X\nyoNISp2VQ5UzSm1rmHbwu4Dbslrh8mKO+5aW7m1+9Kmim9AqXahV+pL5e3VU/QgkJ/tqXByH5ztR\npV4Vr0v5jxGlslq/CfRzbDvH00KE1RlWu6qMNVPSJEGUJjaqT2FKqXqicwsHTPICr5se/W7vjXDL\nathjWjQYPj0bpo2w9ngJ0/z7eNxxw3O/twjNruR78jXSGlR/iWEFPBl4AREjoLSixohReuCtWa6O\nJH+OhkTqlyPbwSkg1eJV3rjhvIIen8ICUyNu5QIPS2sW3poXbUPKvMjQ752gstQNOEWKHyFEKBMp\nyTdstdG+iBQ2G9OimQS+JC0lclPeiaRr2h+9sNputskeqy20SjeweBvoHsn6eoFrK+u6DFXlk9xW\nWa314gW9uB0AQzir83V9g2zGb4Gf/8LsZXKbTDnMrCFHIvIRhiX04/1O4yfPbm3Wdbu2fYFX+25Y\nmoNRsX5RjkJaA97d2pYQvkA1yrqMNwJynS7TzRzCqmiYdTa/PX8ke9f8n8VNidooLTYpy6opmH4v\nLG2NiA9pxBRCZo7Sbx27kk5yXqaee02W5VkFdqnY8TxsNqojWlgNFjamHgpvXgPP3+ncGxgkn/v1\ncYD1s+t4oy2LQAkXR4BguI0XA/9B1RprVetQfRE4UeH2W3YTbWfrKCPfA6kWL6O8jbrmhpTqJ0y6\nLat5gcWBmLubzQVguXgnW3yELZCCXISTtpO6AadI8ePELChJ3KM1DiRRoHnRVITVoFyNSYRVJVMP\nO98ZXTMK4fPFRl8fN/4A3+NTmLcLunIzw0w4bxcj/Uw43MnIG5rBg6/DF6dOBWw/2roWC9nx3l4R\n99FwNT7yDNjhQf8aDc0CVcFOLYdkYa9voWrxYyDyP+BvwChgCKrXvtvXYaUd8AI0X36c1VOCF26+\n0L8vmB1Z6clHomoYN6b1AoPp12lNbbbGKTAeH7NbgR+RVmmylzmbb6RRzcUaNgY2NcvqDx6qrFct\niP221PHAlito7DxQAKpM9ez6yLdifBTrBhw2Bjktq0HfQrCwka2Ad//oyYEdqEwZhhVT0zl2dqQ/\nOTes/LR+kGoZFrdRwGCYv8VMN3bkGe4y1ddmtWeHbRbDiuvhqf/B7nyQ76IDXv6BAM0oMPFoIyeA\n3+LAzdYeX0j86iTb7dcKsYgXC2yg9wdhJCHB15KPsG8vuWV1QxszmJcFUi0F0s9vHIgwRKQJZVxI\nkaLpojfOrBqFw5oDixE4Sy6siqAiiUmNgubzZOuXLhPg8HMD+xW/Nz92y+qQR8Yy35HiYNG2xs2N\ni2OPNVK4zNoXnrn/YtUcCcuZVKzvxtbP9DRzpAY9FEMD8+3e8N4V4PciiPq5cVn1Mq1Yw895itcf\nggefht35EAxr6e6oPoyqxbhkt3P0yTD0VivVjFJUrqKAdzeSRdO8J6LG4tOZaqLZGjvODLzpWpLi\nzcRHrOkBxbMBlxKblGU1RSjysloXienm36IWpqq8XmQ/ih3Pw8agOJZVPyEt8flUmYJlMe/3dpx2\n/quKk9UtajIPVD76oJ71nWDpAJhjrKWkWu40Fx8dAfpfyqoDT4WtLobFLeEFDutzB+dwO+dyCxeB\nyOXraDH5srHQydYHBiu/JGsI/RmfacdtWU2gQBM7Dc7abvDqDZCpR4QzYx1+1p7VrNwMPj9tgU+p\nj79yIMLe0USLMOk05VkqV7/q2BXGZdEY+IrwWN8UKVKUFqUIC4jyxiwU1yWsH3QNeyZqpVQpyuIS\nA24kNL6w2n5WB5ZsbW8vGgxdEpBnDX7C+OuJzdQqvdfektx/PsjQcgn0fQ+X0Oxurd59QAPDGVP2\nPIeRRaavoQ1X8Vde2RIGXAwjeAVU/w9Vbz48j2rC1SU/q0byj2XA80kON4XVrL0qOuZ46P0BnLsz\nVObCPCODiAORLQMKSPbe0Ayt0t8XfN7SYySldTndlNPIbNJQ5cMSsy1bH5pzEIrvolk6NC1h1UpR\n42TkdSPQkqtqCmIbor25VDnRsyv5sx37G+eWUwgcgcEaDS1MlvX6Zr8wy6yYogqAaZ3g3A5/4FQe\nWDCBbVhIN1YYjjv9l9Lp5f1nwqx/wlv3wWUf4GDB8yBTZ7xH4iOsZpMIq+b9rzHv4azh0GDqU7Ll\nsOc/gGz8nH3tZsO8XbyxwZAsPCPs2SSzaNS1OiK6UqMjidU5RYofM0qZ7q0UwmqpkdRzJOgaLk/Q\nhpprcEDh0r6w2VhXBZGYJJMnH5q/zyZl3ejGnMZ3UWkzvwPLtrS3F29jxCOhRK45nDE9YdoDY9IP\nFlb7mtr7hsqg8xirhsH/5czxa/kD19FAWfP7OY2hfHT8QCZ/uIIO0Gs4lIVaAowHumwLI0m9+gir\ni7bx5jCKAcd70vOT4GqBBzosx9s+Bmu61QDN6TgdrQoKiPVFfs6eZVuit0za5K2SqrxDMotMih8P\n8oRVVYol9CoEfoPgDhheHlA6gqUgISnfsnrDPCMVTvLzGahpB81XRlYrGq/d4NyahSFk9ABqAEPp\n2Mn02i6vbU3LxbCui3U/7XlUM7zIYRuA54HDgZuv0r9espnQmZPkmnbr4do34e+v8QoiHwB/Re10\nWlItQuZI4z3ySyXmtqyGP09rfrTSBX03DK42b7kVZlFeQyKDeEMzv3Pu6rPPHy2W+M8n5euhvkXs\nBaZUS3fO6Bf7tBFtdQIuA47WKt06qn6KFCmaLErhBvyUCAeUojMeJF0Hl8INWHPuu2W10P47OHMv\nZ65zgFshP/1irHsw8DkrLdoPPWZVoeWSDixzeO+s7QplNetovTD68HwfavdDnLWvofHNhAqrkmMf\nbmhmdspbI9swaDG8UnMif+RaruWPDGb8+uv4I91YNG+FydFEv7dh+kFhAo04zuPtkrGKmLk/vDwq\npAm/VgOE9thuwJ7F5zZPPZSsAznka2hWFZQp5WcFnj9FisaA9aHdDqxoxH7kjeeqZpqreAgbdMux\nhdSggSWf1GhND39WWwPRcfq1Sbh7cig2uGZXYIhjO1/xMOBF55ZLWMVYKN2KIQVacfYNACtbwIWH\nwZNbcy7wKXAfIp0ApFqGAFky9UZ75bmw221y7bstq+EJqS3CPL+cudY8EZxbOwepFnuiaqjwU1SE\n5BbyoMfn/nHN+14NydYjO9JhVoLq/hChFy/eugS4EhgUVb8AbPKK2hQpNiFYQur+ACKJ5j8Le2Gk\npmzsb7cUwuoBuXnAm6UkGhdE1rDnj43uKdi4wmqrxZDNNLg17wLrusyL5QocFfC7qrcRXxNuWZVc\nkSFEGpKrSDNEDkHkklcezu79zn1GftRty8dxL2dST4XVnhEI1NLkz2i1MNCMkIMlrNpGS6Wspo6f\nnQFdJmKb7WPCGdvksjCHf2umq93ueFNItJ271PeACGiV1tBQfq1r539eDaidGPuUqqEmgg8wclem\n2PRhfWj/hpgxgBsHH0aUR02+jwGbBZTtQ4QbsCqPAH+MOIcT0ZbVCfG9VE3shDdO8KkA4rwAqLLM\nwX0A8AJgkBTZtZyH+AmrahKAWfesgVHT4A1jeDz+OCZihBY8D3yNyLuTbuFv174Bp8z6tldlHWyz\nYo11Hkuo38tjWQ0n7LAWKUZKtmPchebc0/vDVlItUSy89oS0oa0fQ+XTPvv8ccAf/S2Xg56BxlmP\ndHKlAxKOEeGBRuhHIETYTyQR43KKFD8qmKlvdsMeQywl4XYFNpk03ZizL10KPdY8PmsSs2UwPHvy\nqiRorjNl5jRbnlhYtRWTR57mX6NizVo2fxOSMcIXhMYVVjtOg/Wd8wWjtd0W02GGzwEeRAmrn51p\nSLyGMBd0rZlcO81WczE3d0XkDgxSoauBAdM6snz78+DafWB989w5LXW1MZF3Nfk9smVhnTJesu6m\nsseZJ7XfOw3seB/0f9MpcMbT7EiQsBoNVcaR/2Ea2w8WwPdydd2fXds+rL5JoFUq5r93i2qoiUGV\nCaobRZOf4vuH9Z02KmO0Kk8DzxRxvKoyh+AYxCg3YCfiJEqOFlbfGhmjGRuqfK7qsRB/9ctEbXiw\nUJUxACzf3N7bwkFHUN/MazruTb5vbQPLt4BVOV3AN6gq8DvgAODuVZUs7r8crvhywT4118DHD67i\nAU7lYU4caL5iq2yvHADahPbcElaNHLduE6qlKD350L2BS0LbgUW5X6t7+wURx5p0pFp60+sT/5RC\nXSZCEte9bKZUVo91HgXA2cApJWobSmOdGQ2NyoSfIsX3gWK+lREYytpS5V1usPoj4vBsiYdFAfvj\nXp9gkNZlwJfVPpkV05oHyv3k3lDY8/w2j/vX6DgdTj0wsiERglO1xUTjC6tru+Q/2NU9ltFhJgAi\ntBfBnzY/Slidtd8aVvVyWVZFeEyEQ8zfAmw3qHYWV74NDZOOZhSX3Ioxae6E6q6oXnjRT7l9vjVF\nN8vjlzDuYSvzMjINYffUvWAY/hf7tzpIjDShZbV8wwp2GwXNVyR1A7bgXXwa5B/f7TU8WUd820qR\n4ocO9fxNgq2B10rYFz8ytDeSNBCSIiqKYMmJOLmZk82en59u/37kOetXMrNpApg5bx3phRxrhIN/\nC8f/fHeplsMoq/2XXSU3/HkFWGOy8hJGqSqqE1F9YOhJnR854VjY9orF0u8S6P1rWEdLjuOxe1bS\njiV0uvH8+nuptEX8D0IvwNKoTxsBee7prvVOlFbc9hZa18mvPO46ItyCm6lNIKxWlMrtrN7jWt1U\nie+aar9SpCgVihFWrfF2N/NvokW0MwWlT1/G+5RvbGQIFlZHJBL+LEGzYm1S06q9ls83Ohk8GBXr\nc/cpQqgvmnCyKGFVRDYTkTEiMl5EvhGRX5n7O4rI6yIyRUReExF/YbP9LFjTLd+yurLvUgdN8ucE\nubf5sSV6atB2Lpyxt/EbAD32aJ64CJEHVtN6/GI63zx66k30mTaYEby8/HCe3xzVs1D91mpEq9SO\n4cxPJ2AIdh3N7BWZ+sCPRKv0W2bvMdi3MFthfxyFWFZHXApbvZTIDdgB70WdD6B1LWLljXBC1Tzp\n2i7wYMFr8MaM+0uRIimcwmqiSU2VSZTWHfw8DMteLu+oao6Nu1grTxLLanQwJPgxywbDqRmea61J\nOC/WsU8+7L+/IY+gsadfNcBLiAdbP3Mf8DzCiNy+Vbk1hPc9MO7dzP2D+/jsvTmL9rcdYHlLOJ/b\n366gfo/BjGcOvcf+vn4UK/4Pnr6r+4z+y5gV3Bi2Rt2Am6XK7YFTrIKxNErvytXx3XAa/IVVqRaV\nakmW99X9DpSaCbSx495SpPgxwPpu/+PZjgu/Mcz57X7frN4ZjGsImkd/F7slK7d5eY09Zv4pKvID\ncM4L+R6bxnw29DanojMsdjOxWdeLUqQ6uExVB2PEPl4oIlsDvwdeV9UBGDk2/VOQtJ0Na3osz9u/\nZMBS2s+0tvoRFEeVqTfiO2vaBtFFCkDPzHc8wCnDEbl6NPtzGxcOA766n9P+th9j6LnrHzl30Ahe\n1YM7vqCH5TPaulrME1YNX9kDrjS21ncKF7TuGTvTZ6+SLfeb1MJNx2s7P232yTi21UI/RuM4k2XB\n/vmB+OgimJE8Yw3kmHcLYmZKkaIR4CQemlPA8VfiJvQpGKqsVmUu+d99LfBxwua8xEJxLKvWhBhn\ncoo3gT13l/G3zDFvm3H9qr6a53ysDAjF/epkuNruhmpITuk4IRafnWX98lY27p2DMEqqRVzkRRva\nDPBp8TtA5rAZO/Dlw335jh4Ny1hc17f/F/8quwCR5xH5KyL98o6cMzTL3F2sLbel2y14Fyasvnqj\n9SvyxojQk1smveRbuKKP8bf5ygA6fh9ky8POmSR+KuOxrCbJGZsiRYqmAW9awaSyjVe47QEMc2yH\nk9nFQ+Ra3GHBLcO4hiASwosSn32XO2xlYFl0BA7OeaGFS6z5NL9q5KXFYMwNR1HCqqouUNUvzN9r\ngIkYQsYRkCMpeAA40reBdrNhVa/Fefvn7bLUk4DWf0GSqYfVPeD/Vv7N3GPPwCLD5tDr6u/+YeS2\n25Zv+gNyF2ezFVMfQPXGi7n1y28YAuW1wWlr8s4ZItet67Seh1+IIpvwXxg4zeyGBaEB+ItvXQvr\nOxmajFMONty0ymqh0rEmie8G/HXcirGRKOONz+HKvBL1JEWKjQ2FXMznOBLmUzMFzG82Ss/sc1Sq\ncn2RzSRxA45jWV0b66yWAOhkrk2a6Dyo/o73xR/74xjN7fO4rIQ5jxN3POS94HzujvbfuBYef9Tb\nTgPACjpwTv8T2PHgfVcADwNdgYmIvIvInxEx8r/ueVMZi3I6EPeipxSWVXuMjzPYD6Gh2cC8vTfM\nt1MbZTO/yCsPQkNl2AuQxKoinrl3zwTHpkiRonQYIJIkj5YLO3m2i7Ws3gw4gzEL7VdSWGNpZ2BL\nirBIimAkVLVklm2eTEogYws7btLX8XjDjSRyCilaxihZzKoYmt0dgXFAN1W1JOmF2MnT3Wg7G/qM\nfRy3BgPm77yKFsud7FX+C59MvSXkCcAVXL8lIn9DZBbwwufs+MG+p0GH38HOfPYgqlf9lxNZTVvr\nRhsPo3wD1MdcsIS6HusSatveSZBwblbyuxI2tNs3t2Wk0jklMldjxpsTQmC/Knuz49SXgBuJgFbp\nqwnzqUZjfXDO+xQpfshQLTp1SlPC8Y7fSdyAoybZAaqBRBROzMr9croBB6fDceIq8++KQB6AbIIp\ncNzFMCPEjdeNoIWBU/H6M5xpadShXZx0JIw/ztuOPfnUVzJ9y5ktUP0fqudguC9fh7Fo+/zwE2UW\nAG1zhn7PO1mgZbXGGdGTayPeTfRT9K7pbi+EKmriu9rlu287Ed9CCxlXWybrZQGkKkFI3YBTpIiH\nSuCaErWVVDDzThDeObwUltU4sAbVuzFcfY2xuct46PVR0rb2MFpsMBSLc4YmXZfY88IXpzn357cT\nwh8kwhN0mHFtYIWYKImwKiKtgSeBS1TVJWCpwXjoP2B/OQ0e/egokANFZHhuf7YCVvbBYV31tVlX\nylp2nVfPudze/z324hquvA5DA3Ii0OVwXnh1ZkdYa0xdzmu12jsUMNzLohc/vzVaCRFWRbOqrFHl\n2ZB2/BYG5S4huGKdlQYiHA0VfmQqNg646iFV7oxsp9T450z49Nzv/bQpUjQSfsjkJ05ypqg8q06E\nWlbdxEWhmA1AbUtYZIb7j1T/3KH5sJ7LYXkEEcv7GX+zsY3gE6npkCSVTtBiyXnvcqlnRNgXMvaC\nyb6+MgzX8v/DOXcs3A4aKlrKTvdsa7Sqy1F9CdUjP+/O1Q89Rd8x98Hvn9qaEbzEZfzDPcE5dZMr\ne0enW7OwvhN8fL63jXYud2Z/aOCCJpfzNZ5HtwjCJ+eGaQ3iC6uHnTuIgx18Yh1zr+WOsdtIkSJF\nqVAqC2axltWNIay2FYkgmbPnLGMCuKLzjvR5D87fDs7eLfioMGQaYEMb2OrVpAK8Pd9kTJFJZTlG\nDnG3otkc20XoKWKEbYrIcJGtb4eRR5O9urC+O09RbAMiUoEhqD6kqlbahIUi0t0s70EQlfP+2Q3s\n8evLVHWkqr7lKJnA8s2dwqpLwGvGBu7mTJYv34XXnp3H9fzumF7MvWk9LfqgehGqY1Gt9VyfczK1\nJMPraLXQYPKNcAXTKr2RhorPIyyrcTTUylcneveVuczoETJoDg+8+Qhjf2Nv5zMVNw5W9INseRw2\n0BQpUjRtOIWrJDGrYcJLXGvTMVh8B9euxeHSmhQbWNnHvWf5Fsbf+Km1jPw38XNgB1V0Xrtzfhrs\nmgNsz5RyVepU+QNOpa2WQecpcOjFeXGgO53HoD6XwSNDYMT6j/kzf+FGfjN5Dr04hzsQsm434HG/\nujzWFY00u/7KTXD9EhyP+FRWdz8u8vigudPqS9x5b8BzPeg6PizdTnxhdctXjqDLJHs7KsNADEi1\nbC7VYr1YqWU1RYr4KBV/SlLBzCsLeQ1kpRCifwHcHrMfxmK+5VLDqpox54aenyQ/q2RdXAkJYE9I\nVoyr6J+1Sj8HTufx/9k17XHzC2ASgCHTTdwWRkLHotLHGaco5mAREeAeYIKq/tNR9Bxwqvn7VIJy\n/5XVz9IxI12DuZku4E1W9MsJqxXUZhHpgcg+iPztM3aiE0vp3fl1Opy1Ne1ZeVM/nfXrNrp6mecM\nQcKqveq5vDvs8GDcGMuGUMtqvIkpy7hLJti9aoDdRnVxtRt30l7TM8tCR87jLUz23Xf+mGs9XkMO\n1JWM9KyUDKcpUjRllJ6grOkgN2GpJoptDJvcYy3gVXkSmJ7bUYwgsbYr/PsLe9sSOt3j3WUhLRgx\nn0HuxMs3hzWuaJfgxdKoqfmkgqAuYW5DLoWqsx077jTnOrvejzkqs7o53LUL7Fv+GnvwIb2Y2+lU\nHuDfnM9iurDdepNH8NOz89PpRKGh0rCwfnYWTD7M2Df+uGg2PefzW7C9/du6p3HnvcMu+CVD/hdW\nIz5JUkOl+6QFvmNSLYdKtagICswALi2ooWCoCCqSEkCl+OFAhDYiODWJpZpLY9HdOuAd2L3ERoVZ\nVjP1MPgx2Dnn4BilcbXW7Dazbp3j1KcNT94HaXAKq2Ny+085EJqFRhra87Tt9SIAWqWrGe+IELLH\nzc74zf2nHpCszz4o1rK6F3AysJ+IfG7+OwTDZekgEZkC7G9u+2F2UMND5jXjmJrXuJy/MZWttlD4\n4hsGv/ECPx36K27mKJ5iWUuxHkLQdTiFtYw5kQAclZe7tW0sEs96X+3w3teZZ4u2rKqinL3bSbkd\nHafBiEt7urTqScJHnXV7jzP+GrFODwJvxW/IROmE1RQpfhRQpYamx15dCouOkO/6u52qf1iGp16Y\nZjuJ0OuO43z7TyFVI9pY7MgaZlnz7nvH2jNblX8SDENICCKSePB1uGWKc89XAe1kWb6l69mYDJBd\n3W3nxnXnIsptWQ2GPSmYXAzz6Vn/JgdSQR1/4mq+nHoVk26Bw+bPKVwJUNcSppjCat8SKki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aizAbCf6Wo/2TiHqMWrD0lTBsY6du/wYADtvw/azot6F+PA+i7yKafrK53ZEMLgXQAjwhMiZqxz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\nycPiz5XTly00PZZVEew0yj9Zr/4PoXDEqttN1u64PjFYpWa6E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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x6406910>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# next 50 \"days\"\n", + "(synHat250to300, sHat250to300, sigma250to300,\n", + " syn300, s300, l300, b300, sigma300) = hw.additive(syn250to300, m, alpha, beta, gamma, phi,\n", + " yhat0=syn250, l0=l250, b0=b250, s0=s250, sigma0=sigma250)\n", + "\n", + "\n", + "plt.figure(figsize=(16,4))\n", + "plt.plot(t250to300/100., syn250to300, color='blue')\n", + "plt.plot(t250to300/100., synHat250to300, color='green')\n", + "plt.plot(t250to300/100., synHat250to300 - sHat250to300, color='red')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "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": "2.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/docs/algorithms/SqDist.md b/docs/algorithms/SqDist.md new file mode 100644 index 0000000000000000000000000000000000000000..e2cd2d8e90ad117a24b7a90da85e77fc4f56d435 --- /dev/null +++ b/docs/algorithms/SqDist.md @@ -0,0 +1,92 @@ +Geomagnetic Secular Variation, Solar Quiet, and Disturbance +=========================================================== + +E. Joshua Rigler <[erigler@usgs.gov](mailto:erigler@usgs.gov)> + + +## Background and Motivation + +The magnetic field measured at a given point on Earth’s surface is often +assumed to be static, but in reality it is constantly changing, and on a +variety of time scales associated with distinct physical phenomena. These are: + +- Secular variation (SV) - slow variations in the geomagnetic field associated + with changes in Earth's interior. +- Solar quiet variation (SQ) - shorter-term periodic variations in the + geomagnetic field associated with Earth's rotation beneath quasi-static + geospace electric currents that are phase-locked with the sun. +- Disturbance (DIST) - shorter-term non-periodic variations in the geomagnetic + field, typically associated with episodic events like geomagnetic storms and + substorms. + +SV is fairly easily separated from higher frequency variations using low-order +polynomials to *detrend* the data. SQ and DIST have similar time scales, and +are therefore more difficult to separate. Fourier series can be fit to data to +estimate SQ, which works well in non-real time situations. This approach +suffers in real time situations for both practical and theoretical reasons +that we won't discuss in detail here. + + +## Exponential Smoothing + +Real time decomposition of geomagnetic time series into SV, SQ, and DIST should +explicitly acknowledge and address time-causal nature of real time +observations. To this end, we employ a form of exponential smoothing, with +"seasonal" adjustments, that updates estimates of SV and SQ based only on past +observations, weighting older observations less and less as time passes. In +effect, SV and SQ adapt to changing conditions at a predictable rate that can +be specified by the user. + +In addition, this approach is significantly less computationally expensive than +traditional Fourier techniques. No Fourier transform of months-to-years-long +data series is required, and memory requirements are comparably reduced, since +a description of the state of the system at any given moment is only 1+m, where +m is the number of data points in an SQ cycle, nominally 1 day. + +Finally, exponential smoothing is generally more robust to common issues with +real time data series; it easily extrapolates SV and SQ across gaps in the +data; it provides a running estimate of the variance of DIST, which can be used +to set a threshold for spike detection; and it adjusts SV to accommodate DC +offsets at rate specified by the user. + + +## Example + +Usage and expected output for this algorithm is shown in this +[Solar Quiet and Disturbance (Holt Winters)](SqDist.ipynb) IPython Notebook +example. + + +## References + + - Archibald, B.C., and A.B. Koehler (2003), [Normalization of seasonal + factors in Winters' + methods](http://www.sciencedirect.com/science/article/pii/S0169207001001170), + Int. J. of Forecasting, 19(1), 143-148. + + - Bodenham, D., and N. Adams (2013), [Technical Report: Continuous changepoint + monitoring of data streams using + adaptive estimation](http://wwwf.imperial.ac.uk/~dab10/techreport.pdf), ... + (Submitted to Elsevier; also a longer thesis is available from Imperial + College London) + + - Byrd, R. H., P. Lu, and J. Nocedal (1995), [A limited memory algorithm for + bound constrained + optimization](http://epubs.siam.org/doi/abs/10.1137/0916069), SIAM J. + Scientific and Stat. Computing, 16(5), 1190-1208. + + - Gardner, E. S. (2006), [Exonential smoothing: The state of the art -- + Part II](http://www.sciencedirect.com/science/article/pii/S0169207006000392), + Int. J. of Forecasting, 22(4), 637-666. + + - Hyndman, R. J., A.B. Koehler, J.K. Ord, and R.D. Snyder (2005), [Prediction + intervals for exponential smoothing using two new classes of state space + models](http://onlinelibrary.wiley.com/doi/10.1002/for.938/abstract), J. + Forecast., 24(1), 17-37. + + - Hyndman, Rob J., and George AthanaÂsopouÂlos. "Forecasting: Principles and + Practice." Forecasting: Principles and Practice. OTexts: Online, + Open-Access Textbooks, May 2012. Web. <https://www.otexts.org/fpp>. + + - Hyndman, R. J., and G. Athanasopoulos (2013), [Forecasting: principles and + practice](https://www.otexts.org/fpp), OTexts. diff --git a/docs/algorithms/SqDist_usage.md b/docs/algorithms/SqDist_usage.md new file mode 100644 index 0000000000000000000000000000000000000000..78df38eda5df7e99443525b8c1f729e41fa17493 --- /dev/null +++ b/docs/algorithms/SqDist_usage.md @@ -0,0 +1,57 @@ +Solar Quiet and Disturbance Algorithm Usage +=========================================== + +The Solar Quiet and Disturbance Algorithm calculates `Solar Variation`, +`Solar Quiet` and `Disturbance` from raw Geomagnetic data. + +`geomag.py --algorithm sqdist` + + +### Example + +This example uses a state file to produce magnetic-h-based Dist, SQ, and SV +channels using the EDGE channel naming convention. + + bin/geomag.py \ + --input-edge cwbpub.cr.usgs.gov \ + --observatory BOU \ + --inchannels H E Z F \ + --starttime 2016-01-03T00:01:00 \ + --endtime 2016-01-04T00:00:00 \ + --algorithm sqdist \ + --sqdist-mag \ + --sqdist-statefile=/tmp/sqdist_h_state.json \ + --rename-output-channel H_SQ MSQ \ + --rename-output-channel H_SV MSV \ + --rename-output-channel H_Dist MDT \ + --outchannels MDT MSQ MSV \ + --output-iaga-stdout + +This example processes just one channel (X). + + bin/geomag.py \ + --input-edge cwbpub.cr.usgs.gov \ + --observatory BOU \ + --inchannels X \ + --starttime 2016-01-03T00:01:00 \ + --endtime 2016-01-04T00:00:00 \ + --algorithm sqdist \ + --sqdist-statefile=/tmp/sqdist_x_state.json \ + --rename-output-channel X_Dist MXT \ + --rename-output-channel X_SQ MXQ \ + --rename-output-channel X_SV MXV \ + --outchannels MXT MXQ MXV \ + --output-iaga-stdout + +> Note only one inchannel is specified and the --sqdist-mag option is omitted. + + +### Library Notes + +> Note: this library internally represents data gaps as NaN, and factories +> convert to this where possible. + + +### [Algorithm Theoretical Basis for "Geomag Solar Quiet and Disturbance"](SqDist.md) ### +Describes the theory behind the Solar Quiet and Disturbance algorithm, as +well as some implementation issues and solutions.