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@ThomasLecocq
Created February 10, 2014 15:58
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Phase Shift before merging [ObsPy]
{
"metadata": {
"name": "Merge - Final"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": "Properly Merging by dephasing the signal\n-------------------------------------------\n\nWith some acquisition systems, the starttime of a trace (beginning or after a gap) within a Stream can be offset from finite number of samples since epoch. Even within a single file, this can happen. Samples will then be properly spaced by delta but problems will arise, for example when merged and analysed in cross correlation problems."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Classic Imports and Definitions\n================================="
},
{
"cell_type": "code",
"collapsed": false,
"input": "from obspy.core import Stream, Trace, read, UTCDateTime\nfrom obspy.signal import cosTaper\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport matplotlib\nimport scipy.fftpack\nimport calendar\nfrom scikits.samplerate import resample\nimport pandas as pd\nfrom scipy.signal import correlate\nmatplotlib.rc('lines', linewidth=2)\nmatplotlib.rcParams['figure.figsize'] = (20,5)\nalpha=0.5",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Data Preparation\n====================\nWe create a perfect 5 Hz sinusoid, that will be split in two. The first trace will stop at `t` and the second one will start at `t` + `delta` + `offset`."
},
{
"cell_type": "code",
"collapsed": false,
"input": "f = 5\nsampling_rate = 100\ndecim = 100\nduration = 20\noffset = .51 * decim\n\nt = np.linspace(0,duration,sampling_rate*decim*duration+1)\ncontinuous = np.sin(t*2*np.pi*f)\nhalf = (len(t)-1) / 2.\n\nmaster = Trace(data=continuous)\nmaster.stats.starttime = UTCDateTime(0)\nmaster.stats.sampling_rate = sampling_rate*decim\ntm = pd.date_range(master.stats.starttime.datetime, periods=master.stats.npts, freq=\"%iU\" % (master.stats.delta * 1e6))",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "trace1 = Trace(data=continuous[:half:decim])\ntrace1.stats.starttime = UTCDateTime(t[0])\ntrace1.stats.sampling_rate=sampling_rate\nt1 = pd.date_range(trace1.stats.starttime.datetime, periods=trace1.stats.npts, freq=\"%ims\" % (trace1.stats.delta * 1000))\nprint trace1\n\ntrace2 = Trace(data=continuous[half+offset-1::decim])\ntrace2.stats.starttime = UTCDateTime(t[half+offset-1])\ntrace2.stats.sampling_rate=sampling_rate\nt2 = pd.date_range(trace2.stats.starttime.datetime, periods=trace2.stats.npts, freq=\"%ims\" % (trace2.stats.delta * 1000))\nprint trace2",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "... | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:09.990000Z | 100.0 Hz, 1000 samples\n... | 1970-01-01T00:00:10.005000Z - 1970-01-01T00:00:19.995000Z | 100.0 Hz, 1000 samples\n"
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Plot the input and sliced traces, with the expected first sample of Trace 2 (based on Trace 1) and the true sample position:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.plot(tm, master.data, label = \"Master\", c=\"k\")\nplt.plot(t1,trace1.data,label = 'Trace 1',c='b')\nplt.plot(t2,trace2.data,label = 'Trace 2',c='orange')\nplt.axvline(trace1.stats.endtime.datetime + datetime.timedelta(seconds=trace1.stats.delta), label=\"expected new sample\",c='g')\nplt.axvline(trace2.stats.starttime.datetime, label='true new sample position',c='r',ls='--')\nplt.xlim(trace2.stats.starttime.datetime - datetime.timedelta(seconds=0.1),trace2.stats.starttime.datetime+datetime.timedelta(seconds=0.1))\nplt.legend()",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": "<matplotlib.legend.Legend at 0x12ea34a8>"
},
{
"metadata": {},
"output_type": "display_data",
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5yDA+9+bA8mY+XUdcuxnRdcsd2bNnD0OefZrI4F8Y1QmcHMDsWApjww8guKt6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\niIg4rf8HAFe3AAX2tMUAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x12e81128>"
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Phase Shifting\n---------------\n\nTrace 2 will we transformed into frequency domain and phase-shifted in order to get a new Trace 3 beginning at the closest sample point. \nPhase shift will then go the the left if $dt <= delta /2$ or to the right if $dt > delta / 2$. \n\nThe actual phase shift is done by multiplying the FFT of the input signal by an exponential:\n\n$X(f) = X(f) * exp(i*2*pi*frequencies*dt)$\n\nwhere $X(f)$ is the FFT of the input signal $x(t)$ and $frequencies$ is an array of positive and negative frequencies.\n\nAfter phase shifting, the signal is transformed back to time domain and `dt` is added to the trace's `starttime` value."
},
{
"cell_type": "code",
"collapsed": false,
"input": "trace3 = trace2.copy()\nprint trace3\ndt = (trace3.stats.starttime.datetime.microsecond*1.0e-6) % trace3.stats.delta\nprint dt\nif dt <= (trace3.stats.delta / 2.):\n dt = -dt\n direction = \"left\"\nelse:\n dt = (trace3.stats.delta - dt)\n direction = \"right\"\n\nprint \"Trace 2 is offset by %.6f s from closest delta (%s)\" % (dt, direction)\nFFTdata = scipy.fftpack.fft(trace3.data)\nfftfreq = scipy.fftpack.fftfreq(len(trace3.data),d=trace3.stats.delta)\nFFTdata = FFTdata * np.exp(1j * 2. * np.pi * fftfreq * dt)\n\ntrace3.data = np.real(scipy.fftpack.ifft(FFTdata))\ntrace3.stats.starttime += dt\n\nprint trace3.stats.starttime\nt3 = pd.date_range(trace3.stats.starttime.datetime, periods=trace3.stats.npts, freq=\"%ims\" % (trace3.stats.delta * 1000))",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "... | 1970-01-01T00:00:10.005000Z - 1970-01-01T00:00:19.995000Z | 100.0 Hz, 1000 samples\n0.005\nTrace 2 is offset by -0.005000 s from closest delta (left)\n1970-01-01T00:00:10.000000Z\n"
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Visual Control\n------------------\nPlot the beginning and end of Traces 2 and 3, for visual control of the phase and amplitudes."
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.figure()\n#plt.plot(tm, master.data, label = \"Master\", c=\"k\")\nplt.plot(t2,trace2.data,label='original')\nplt.plot(t3,trace3.data,label='phase shift')\nplt.xlim(trace2.stats.starttime.datetime,trace2.stats.starttime.datetime+datetime.timedelta(seconds=4))\nplt.title('Beginning of Trace 2')\nplt.legend()\n\nplt.figure()\n#plt.plot(tm, master.data, label = \"Master\", c=\"k\")\nplt.plot(t2,trace2.data,label='original')\nplt.plot(t3,trace3.data,label='phase shift')\nplt.xlim(trace3.stats.endtime.datetime-datetime.timedelta(seconds=4),trace3.stats.endtime.datetime)\nplt.title('End of Trace 3')\nplt.legend()\n",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": "<matplotlib.legend.Legend at 0x155feda0>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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OccuG1x8NcunU0efow/8qbrlxoFta8mC1nMTvBHDLsbBtgCMUv1Hc8j/f+yNg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O6554597ec//3nzf1+5cgVXrlwpeeyFxHBXG3AXOPJYF1n7Rv+Uc+3q/FD31LcBazl7bqkRiSWR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\nAGdTtjxdIFt+eN9gi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"text": "<matplotlib.figure.Figure at 0x12e72908>"
},
{
"metadata": {},
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oH+jSsIXKeGkv63tJI+cgJ8e7u+m161jfPNan374JAG8eYe1fk3YOTLKBJAlY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\nPXwLfW5tzZY9fMvPd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"text": "<matplotlib.figure.Figure at 0x156d4c50>"
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Traces Alignment Control\n-------------------------\nZoom on the junction between Trace 1 and 2, with the original Master in background. The new Trace 3 is shown together with the expected and true sample positions :"
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.plot(tm, master.data, label = \"Master\", c=\"k\",lw=4)\nplt.plot(t1,trace1.data,label = 'Trace 1',c='b',lw=4)\nplt.plot(t2,trace2.data,label = 'Trace 2',c='orange',lw=10)\nplt.plot(t3,trace3.data,label = 'Trace 3',c='red',lw=4)\nprint \"Expected at:\",trace1.stats.endtime.datetime + datetime.timedelta(seconds=trace1.stats.delta)\nprint \"New sample at:\", trace3.stats.starttime.datetime\nplt.axvline(trace1.stats.endtime.datetime + datetime.timedelta(seconds=trace1.stats.delta), label=\"expected new sample\",c='g')\nplt.axvline(trace3.stats.starttime.datetime, label='true new sample position',c='r',ls='--')\nplt.xlim(trace3.stats.starttime.datetime - datetime.timedelta(seconds=0.1),trace3.stats.starttime.datetime+datetime.timedelta(seconds=0.1))\nplt.legend()\n",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Expected at: 1970-01-01 00:00:10\nNew sample at: 1970-01-01 00:00:10\n"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": "<matplotlib.legend.Legend at 0x155eeb00>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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pjmXlAT9gTGvcy5WH/DXDCLzuxJjiWMzkBI3vNEZ3BQ8B3zZV0n0RqZ/Kjvya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\nIiIiIiIiIiJiWf8PcqxGBikZNYQAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x1560d438>"
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Frequency Content of the transformed signal\n----------------------------------------------\n\nChecking that the phase-shifted signal still has a 1 Hz component:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "t2 = trace2.copy().data * cosTaper(trace2.stats.npts, 0.01)\nfft2 = scipy.fftpack.fft(t2,1024)\nfftq2 = scipy.fftpack.fftfreq(1024,trace2.stats.delta)\n\nt3 = trace3.copy().data * cosTaper(trace3.stats.npts, 0.01)\nfft3 = scipy.fftpack.fft(t3,1024)\nfftq3 = scipy.fftpack.fftfreq(1024,trace3.stats.delta)\n",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.figure()\nplt.plot(fftq2[:len(fftq2)/2], np.abs(fft2[:len(fftq2)/2]),label='original')\nplt.plot(fftq3[:len(fftq3)/2], np.abs(fft3[:len(fftq3)/2]),label='phase shift')\nplt.title('FFT Magnitude')\nplt.legend()\n\nplt.figure()\nplt.plot(np.abs(fft2[:len(fftq2)/2])-np.abs(fft3[:len(fft3)/2]),label='original - phase shift')\nplt.title('FFT Magnitude difference')\nplt.legend()\n\nplt.figure()\nplt.plot(fftq2[:len(fftq2)/2],np.angle(fft2)[:len(fftq2)/2],label='original')\nplt.plot(fftq3[:len(fftq3)/2],np.angle(fft3)[:len(fftq3)/2],label='phase shift')\nplt.title('Phase')\nplt.legend()",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": "<matplotlib.legend.Legend at 0x135369e8>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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BAAAAANAfEAohIjSFAAAAAADoXwiFEJFgU8jR0hQK3qIeAAAAAADEJkIhRMQy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\n/OVKkoJ/0Qr9zyfL5pVleGXZvFLr13Z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"text": "<matplotlib.figure.Figure at 0x1560d5c0>"
},
{
"metadata": {},
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vjfWjj6Rvv80bEnk8UocOFgCecYZNzWva1C5hYfa1dByr1jpwwHqYbdxoq+d9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\nFfHUU70+bK/zeKzvliQtWVL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"text": "<matplotlib.figure.Figure at 0x1312e5f8>"
},
{
"metadata": {},
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xttHYNNdLWgKWn0/Q0qPvijmE6R7A3YbsmdGNypXjn5MSsIy5+Ogi4dHhxp/l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rVq8bfxGr5+Rj6r0Z3hw9OWbefUV6dChQpcvHiRq1evUqBAAZYuXcrixYuf+buzj487cxiXY8cO\nMfkFaDlhEj+f/QoNGn7/8HdalW7l2cGlA3IQQHEJ4o0aSV71D6irBj4yXiiAfEzqYqyTKoC8FjD5\nodHYJdguCYG2EkDZMicBZM8ASrsFzCpFrhJaRXYFoxrho/HBLJkxSSZ8EOdV7xDPUa+eWEAnxcqz\nK/nz+p/kCszF0HeGumm0yoEcGUADBog5Rt68VrsM3I66TZfVXQAY9e4oKodWfv6HqAS2bB2Nya0E\n0Pr18NVX4n78xx/w8itG6i1oQ3hUONUKVWP8e+PdN5hUwM8SAm1WkQUsPFxkKyUmioDtHj2EyrL7\n2u4A/NTgp2d2/52FnzYQTBBvjJX1c5UKk0kEal+4AG+8Icj554kCM3MQtGoVQEEZLAMI4Ho1fDQ+\nHL11lCsRV9BpdXwcNoQtdxaBL1T168bu3tNVH/icHMQ50BAYW4qokL85/+A8uQq7hwCac3gxX/zZ\nDbRmivq/leb3O0UA6XQ6fv75Z+rXr4/JZKJ79+68+uqrz/zd5egTzhzGpbh8GVq1Ejfe976exoJ7\nggma1WSWonaM0gJb2K4u3tKekHZZeVyi5e5qln/xpKYQ6MgECwFkVqcCyOzpGvgMTACBINpMJtC4\nogY+kyuAbBawdCiA/rohCKBqhaq5bHxqwlMh5ZZ7Q4ClZKdEiafbZawwmo0M3jEYgBG1RpDVP6u7\nhqsYOJsBNGcO/PSTuC5XrIDQUHEv/mj1R9yPvU/dYnX5stqXLhi5Z+CoAHLXovTsWbtdZtQoYbX7\ncusQdl/dTb7gfCxrtUxxCw+rAsisEgVQXBw0awZ37sC778LEiXD50WU+XPIhiaZE+lTqw6eVPpX9\nuHpLBlC8KXMogIYMgc2bIVcuQRYHvWDfMTMHQau2Bj4wg2UAAcbYECoUqMCh8EMU/6m4/Q+MflSJ\nHs2+Cf3QatVtb04J1nMQEGMhgB6ep1ph1887l51eQY+NnUBrJvepEdTqn3Z7s5PiOWjYsCENGz6f\n9b+ZcIZ4Y7ziKu+iooTUMiICynaZxVZf4RX/pdEvdHuzm4dHl37otDo0Zh2S1khcghFI+x3SqgDS\nulABZAuBVnANfHSCsIDpzOpSACmmBj7wIYDbJJHuho+PmDhocaECKJMSQM6EQFvzf6oXru6y8akJ\nPlofMD19fXbtKrJpBg+G7Nmffc+SU0u49OgSxbMXp+dbPd04WuXAmQygAwdEriCIgO1qljnh+P3j\n2X5lO7kCczH/w/myW6w9CXsGkHsUQBERYg4XFSU28r76CpadXsb4A+PRaXUsa7VMtjwaOeFnDYGW\nlK8AkiT4+GM4cgSKFIGwMIg2RvD+ovd5GPeQRiUbMbH+RJcc208r7CLxpoyvAFq4EMaNE0T88uXi\nXL8IzuSSqR1qD4HOSBlAiYkwus5oRv05iuO3jxMRHwGnWvNWxBj2bCxiW/NlRFivP7+oVyCfe3KA\nVp1dRdtlbZE0JvwPDeXA1G8ICUn75zhNAKUGZkycvneatwqkXaLkKpjNIu/g9Gko0GAB/xb5GBA1\nrJ9UVHcTB4DW7I9JG01MQjzpIoAsCiCNOxVACgyBjk4UCiCdyhRANguYpxVAfk8AyOqXMdUD1vPs\nkhr4TE4AWdUXaQ2BjjXEcuz2MbQaLVVCq7h6mKqAjchwUKi99ppQqCQHk9nEqL2jAPi6xtd2ZUcm\ng6M6VZ+GxdbNm0IxkZgIffpAd+GS4XD4Yb7eKUI95jWdp0hywhm4MwPIape5eBHKlRMZjmcfnKHr\nmq4ATHhvgmIJYH+9VQGkfAJo4kRBTgQFiSryrNkNNPijJecfnqdMnjIsabHEZfcHP5/MoQA6elRY\n6kAoBmvWTN37vASQCmvggzJeBpDRCLWKvEutIu/So6fEnN/jKZQ/gA1HnraaZ0TYgrAj3dMEturs\nKlqFtcasMcJfA1n75QiKF3/x+5KD23i5E3eUZQMbPlxILAMrL+JO1S5ISPxY50f6Venn6aHJAq0k\n1FYxifHpen+8lQBygQIoqedWyRlA0YlCAeQrqYsASmoB81gGkL+FAMqg9hHredbKrGJLMMVBllv4\naHSEZnk2WD8zwKaMSKMF7Ej4EQxmA2Xzls0QwbpyIK0E5bIzyzj/8DxFshVRrRVaDtgsYGlQAFnt\nMnfvCrvMhAni55EJkbRb0Q6j2Ujfyn1VVy6RGrgzA2jwYNiyxW6XMekiaba0GTGGGNqXaU+fSn1c\nOwAn4G9hE80aZa/ct2yBgQPF6/nzoUwZiV4berHzv53kDcrL+vbrCfFLx9ZzKuHvIxRAieaMqwC6\nfRs+/BASEoTSyhqynRp4M4DUowCSpIzXAqbR2M+f0Qg//wxzZmvw1wWwerXIvcvosF5/uscWAuiB\n6wiglWdX0npZa0wYYd9AJjb8kXr10m+tcxsBdPyOcoKgV6yAESNAU+534hp2xCyZGV5rOIOqD/L0\n0GSDj4UAik0vAWS5u2rToR56EZ4JgU5md1opiLEogHwldVnAngmB9pQFLIMrgGwEEPJew7G6cADy\nBoTaF1WZDNb7gjaNFjCb/auQMnf/PYG0kOySJNnUP19V/ypTh2g7PptSs9iSJOjZU+zoFy0Ky5bZ\nJ4i9NvTiSsQVyuUrx5i6ySRuZwC4SwG0YAGMHy/sMitWQOHCEl1Wd+HCwwuUyVOGGR/MQPO89FwP\nw5oBJClYAXThgmivM5vh229FAPSEAxOYdXwW/jp/1rZbS+GshV06BqsCKMGcMRVACQnQooUI2K5R\nQ7QRp+Wy9WYAqScE2jZ/yUAh0GA//5s3w+eWsu85c6B8ec+NyZ2w/u/XPi4JwOWIyxhM8n8hV55d\nSZvlbTBKxv9n78zjbKr/P/6866wGY98pRMpSqVSWEpHIkuwUSkrfFO3RTiX6tSoqskTZFRFqFNFG\niYhobNnG7DN35m7n98fnnnuv6c7MnZlzz93O8/vwcB9j5p5P53vnLK/zer3esO1xRtV/hYkTK3aO\nizoH0J49rlG3V8yFvncjIfHSjS8xtfPUYC9NUSosAFkD1wFU7Bj4EIyA5dmEAGQmPB1AwY+AZQNE\nrBNDFtp0Cn+GC/UZAFSNqabI+4UjRSNg/jqAdp3eBaDFv7woi8j+/bHv2XduH3US6zCq7ahALy2k\n8XYA+XOzNXOmmEIlx2WquX59l/+5nMV/LCbeFM+SAUs8gxoiDI8A5AiYK+Gnn4TIBuKGuVMneHX7\nq6w6sIrKMZVZOWglCebQfmATK5dAh6gDKCtLdCtlZQk329SpsObAGh7bJOxAC/st5Op6Vwd8HXFG\nlwNIijwHkCSJjrAdO6BBA9H7U9a4jBYBC58SaLFeyRMBiwAHEHj2/9ChYh8+8YSI5kYL8n+/oyCe\nhpUbYnfaOZJxRNFtrPhzhRB/nEL8uSZ3Oh+8ryuTWOwL1QSg38/8HvSIT1qaOKnlt3oP+tyLhMRr\nN7/G052eDuq6AkFYOYBCOAKWbxcRMDOhfUFZFE8ELMhj4KMlAqZwCbTVJQBVjqmiyPuFI+4ImK5s\nDqAT2SeA6O1O8kVZRPaPdn8EwN1t7w656Ulq48sBVNzN1oYN8LjLRLxwIVx+uXh9Nu8s49eJXsEZ\n3WbQonqLQC45qHhKoAPjADp1SggShYUwbpyIy2w+stndq7So/yKaJjdVfsMKExsjPkySLvQcQA4H\nDBsGBw7AZZfBJ5/A3nN7GLZyGBIS026axh2X3qHKWuKMwgFkkyLPAfT226K3Ki5OiMU1yzEUShOA\nwicC5n4garCRYEog3hQf2A2qhCxa5uZCr15iEmM04V2ELZ/blewBWvHnCgavGCzEn++foM6f01m1\nUkeMAs+QVBGA4ux1ybXmcjj9sBqb84nNJqZEpNb+P+glxlX+3y3/F1EjWL0xIgtA5TtxugWgADqA\nwmEMvNsBpAsvB5BWAq0O7hJoFB4Db8gEolsAco+BL6MD6HjWcYCo7U7yhb8ie3ZhNsv2LQPg7nZ3\nB3xdoY73GPiSbrYOHoTBg8Vn9LnnhEgBIk43ft140vLTuKnJTdx3VRkKPsIQtwMoAB1ABQUihvTv\nvyIu89ZbcDTzKIOXD8YpOZnSaQq3Nb9N2Y0GiBij7JSyqTJ9qCxMmQLr1kFyshAmLPqz9FnShzxb\nHsNbD+eJG55QbS2R6gDasgUeeUS8njcP2rXz/X2SJHE+/zzplnSf/64JQOFTAm23E1ETwGTk/X/J\nJcL9aoiyxgLv38FLqinbA7Rs37ILxB/ztmmsXqWjjkKzI1QRgCrni6PbrlO71NicTx5+GFJsr0EP\nEVJ899Z3eejah4K2nkAjC0AWW/kcQIWuo6shgA6gcBgDb3EIB1CMLjwdQJLTE2FQmwJ7ARitGDAR\na4xVfftqEKgSaFkAqhrrYz53lOBxAPk/BcxgtnE69zR6nZ7aibUDvMLwwd8I2NK9S7HYLXRu1Dks\nnBSBxtcY+KLRpqws6NPHE5eZMsXzb0v2LmHl/pVUMlfi4z4fR9TId1+4+8oUdgDJcZmdO6FhQxGX\nceoLGPD5AM5bztOjaQ+e7fyschsMMGa5V0uFaWllYelSmD5dnNeWLYP6jawM+HwAR7OOcnW9q5nb\ne66q3UrxJpcDiMhxAB05AnfeKc5nTz4pepaK8uu/v9JnSR+SXkmi+ozqVH+tOo9vepxCe+EF36eV\nQIeZAyjuPADV46sHdmMqcs01UKcOrF0LlSPzOW+J+BKAlBgFP+fXOe7Yl277E7BlGh/O1XG1gslb\nVa5GKmV1ACAlNUWNzf2HOXMk3v3jRej2ODp0zO09l/vb3x+UtaiFySUAFdgrGAHTRfcYeItDOIBi\n9eHpAHLYxYtgiGv5DtH/E6+vHNKFnBVB/izrUPYzbDcKAahKXBQ7gNwdQP5HwBxxp5CQqJ1YO6rL\ni4vi7zFWjn+NaTcm4GsKB7wdQL46gBwO0X3w118iLrNggefYeyrnFBPWTwBg1i2zaFSlkZpLDwqB\n6gB66y2YP//CuMyD6x/k11O/0qRKExb3XxxWZflqlWWXhV27YPRo8fqNN+DGGyXGfzmebce2Ua9S\nPVYPWq36gxw5JmMjMhxAOTlCLE5Ph9tu+29c5lzeOe5cdidXzb2KLw5+Qa41l0rmSuh0Ol774TXa\nz23PyeyT7u/XSqDDxwEkKhFc13WxkXNdt2oV/PMPNG8e7JUEB28B6Kq6VwGw4fCGct8LSJLEy9+9\nzLgvxyEhEb/zBaRN05g0SceIEUqtWqCKAJRw5mYANv+zWY3NXcB33zsZv/oRuGkqOnTMu30eY68Y\nq/o61MaoC10HUHFj4EMxAlbgcgCFmwAUCmPg850i/hVviMwCaPAqgVZ4Cpjd5CqBjmYBSO4T0fkf\nAbPFif4fLf51If5EwA6eP8hPJ38iKSaJAZcOUGtpIY0vB5D3zdYzz8D69Z64TKLrNCFJEvd+eS8Z\nBRn0bNozagQ1j2tPotCqzB3V5s0waZJ4PX8+tG0LH+760D2NasWdK0iOS1ZkW2rhFoAMtpBwb5w5\nI0aRWyxCBJowAd788U0+/u1j4oxxrBm8hjqVFModlIF4s3AA2XXh7wByOsUAmn37oGVLEZfRe92B\nffPPN7R5vw3L/lxGnDGOyR0mc/KRk2Q9kcW2u7fRNLkpf5z9g2nfT3P/jBYBCzMHUGzkVSLodCjS\nRxOueLvwrq53NU2qNOHfnH/LZXhxSk4e3vgwz3z7DDp01Ns9m/wNU+jeXccrryi7blBJADKcuZLK\nMZX5O/1vjmYeVWOTABxOtdF99iic1/wfesnE0juWRs1UE7OuYg4gq12UEwYyAlZ0DHxoRsBkB1B4\nRcBCYQy8xS0ARc7JriiBioA5TOJJUbV4LQJWljHw1lhNAPKFPxGwLUe2ANCzac+IKaisKCV1AC1Z\nAq+84onLXOTVOf7pH5/y5cEvqRxTWfXYTLDRSULcKLRVvOD48GFPXOapp8TrX//9lQfWix7HD277\ngHZ1iilQCWFMIRQBs1rFKPLjx6FDB3jvPdh4eAOTvhaq2/y+87my7pVBWVuCWWek9C0AACAASURB\nVByH7LrwdwA9/zysXg1VqgixOMn1XEySJGbtmMXNC27mVO4pOjbsyIEJB5jRfQZ1K9VFp9PRoUEH\nlg0U3WxL9y3F6hCqoSYAhc8Y+GjoxIxGvF14Op2OYZcPA2DxH4vL9D6F9kJGrhrJmz++iUlv4prj\nn3FyzX00ayaiuXJtnJKoIgDl5xq5scmNAGz5Z4samyQtK58rXu1H4SWLMDgSWDd0HXe2ulOVbYcC\nJr1LAHKU0wFkdzmAdMp/6sJpDHyBUwhAcYYwdQDZgyeuFSBOdonGyD3ZuR1AkrKfYafZJQAlRLED\nyN0n4r8DqDDGJQBV0gQgb/w5xqYcTQHgxsY3qrGksKA4B9Cvv3riMv/3f3DTTZ6fybBk8MjXouH1\njVveoF5SPTWXHHRkN2ShtWLHwpwcMbU1IwN694YXXxT79o5ld2B1WBl/1XhGthmpxJJVxxMBswX1\n5l2ShNtn+3aoVw9WroR/cg4waPkgnJKTqZ2mBvW6OSFGOIAcYe4AWrECXnhBXC8sXQrNmomv2512\nHlj/AJO+noSExJROU/hm1Dc0rNzwP+/RplYbLqt5GemWdL469BWgdQBBmI2BdzmAIikCFu14XxdI\nEgxrLQSgFftX+G3AOJN7hpsW3MTiPxaTYEpgGOvZ+dFAKlUSYnHVAD0HVkUAysuDm5u4YmBHAh8D\nS8s7T8tp3cmuvQ59QTW+GvwNPZp3C/h2QwnZAVRYbgeQOLoaA9ABFE5j4K2SiIDFGcPLAeQR2YI3\nYa1AcglApsgVgAIxBl6SQIoREbBoFoDccRK9/yXQFrPmAPJFacdYSZLcluUujbuotKrQx5cD6MQJ\nEZcpKIAxY+CBBy78mae2PMXZvLN0atSJu9repe6CQwC9Ag4gpxNGjPDEZRYtAnRORq0eRWpmKlfV\nvYo3bnlDoRWrj0kfGg6g2bNh7lyIjRXuFHPldHov6U12YTYDWg7g2S7BLdZOdDmAHPrwdQDt2SOi\nXwCvvQa33CJeWx1WBi8fzOxfZhNjiGHpgKW8cOMLHnGwCDqdjhGtRQnIwj0LAa0DCMItAuaa7hob\nudfE0YZef+E9bYvqLbiyzpVkF2bz5cEvS/35H47/QPu57fnh+A80SGrASxd9z/ypN6PTwaefivNf\nwNYeuLf2kJ8PXS/qCggBKJA3+ofOH6LFzA6kxW9Hl12fVX2+p9ulCtZmhwmyA6iwnA4gq0N2AEX3\nGPhCKTwdQO5iuyA6gAp1ogQ6kgUgTweQcp9hux33hUJyXPRGwNxj4HXis+uPA8hi1AQgX5QWATuQ\ndoCzeWepnVib5tWitM3RB94OIPlma9s2IQJddx28+67oQJD58cSPfPDrBxj1Rmb3mh1V0S8ZWQwv\nqIAD6LnnxJNP77jM6z+8zhcHv6BqbFWWDVxGjDF8iydCoQQ6JQUecg3C/fBDaNPOxp3L7uTv9L9p\nW7stn/T9JOhT6xJjZQEoPB1AaWnCxZafLwRNefR7gV1MsFuxfwWVYyqzZeQWBl3mYxxYEYZePhQd\nOr44+AUZlgwtAkaYlUBrEbCIpOjvoRwD++DXD4q997I77by49UU6zevE8ezjdKjfgYWdfmbKPSLS\n/PLLoig+kKjmALqk2iXUq1SPc/nn2Ht2b0C2szV1K1fOvpbz0iE41Za51+6gT4cAymchTExFBSDZ\nAaQPnAMoHMbAWxEOoHhTmDqA7MEbA291RcAqmSO3BNozBUy5z3CkTosoK0UjYP44gPI1AcgnpUXA\nvN0/0ShaFIcvBxBA/foi1uFdfilJEhM3TkRCYnKHyVxa41KVVxsa6KmYA2jZMhH30uvhs89EXOa7\no9/x1JanAFjQbwGNqzRWarlBIdgl0KmpMHCgeNjw6KMwbBg8svERtvyzhVoJtVgzeA0J5uBf8yS6\nImBOQ/g5gGw2sY9TU6F9e5gzR4jF+bZ8bl96O18e/JLkuGS+GfUN1ze83q/3rJ9Un5ua3ITVYWXZ\nn8s0AYhwcwC5BCDNARRRyA+H5GP5kMuHEG+KZ/ORzYxdO/aC6y5Jklh/aD2tZ7dmaspUnJKTx69/\nnJV9UhgzqBa5uTBoEDzxRODXHYBaof9isYAk6bj5opv55PdP+Prw17Su1VrRbcz/bT73fHEvdqcN\n/urNMy0/ZczA8HJtKEmMIRbsYHVWzAEUiAhYuIyBlyRJOIB0EB9mETC3yOYInrvKqhcnuyRz5J7s\nikbAlPgMiwsFEQGLZgHIEwHzvwQ6V68JQL4oLQIm9/90adRFpRWFB94OoATXKUCOy9SufeH3Lv9z\nOTtP7KRWQi2e7vS0yisNHeRCfKu97MfC33+Hu+4Sr2fMgO7d4XTuaQYtH4RDcvDE9U9wW/MAPxZV\ngWCWQOfmCldKWhr06AHTp8P7v7zPOz+/g9lgZtWgVT47aIJBJZcDyBmGDqCHHxYuqzp1xKjs2FjI\ntebSe0lvUlJTqBFfgy0jt3B5rcvL9L6DWg1iyz9b2PLPFqqZ7gU0AagiBKMEOpqv6yKRokJs7cTa\nfDHkC2779Dbm/TaPY1nHuL7B9VjsFtb8tYaD5w8C0DS5Ke/3ep/ODbvSs6cYetCuHXz88YXO4kCh\nmr8zPx96N+8NwJxf5yjm9rA5bEz+ejJ3r7lbiD87HuYO+ypeeCZ6xR9wCUCUXwCyOQLnAAqXMfAW\nuwV0EthiiTWropUqRiiUQLsFoAi2u3rGuContFmtkuYAohxj4HUOcnX/AkRd8W5plBQB0/p/isf7\n3HTddcItsW4dXFlkKFKhvZAntohHds93eZ5Ec/Ref8gOIGsZHUDnznniMiNHihtoh9PB0BVDOZ17\nms6NOvPiTS8GYsmqE6wSaEkSAtuePdC8uZhk992xb3nwqwcBmHPbHDo06KDegkqhUpxwAEnG8HIA\nzZ0r4qFmsyjWrldPOH96fdqLlNQU6iTWYetdW8ss/gC0rCFSDceyjmkl0IRbCbSrAyiCr4mjEV9O\nvJua3MRXw74iwZTAln+28MJ3LzDjhxkcPH+Q6vHVmdl9Jvvu30fXi7ry2GOweTPUqCEeLsWrNIRV\ntbva/Hy4vcXtNKrciEPph1j711r6tuhbofc8nnWcQcsHsePEDnSSAWndO7Sx3cf8FeqoZ6FMRQUg\nq8MG+sBGwEJ9DHyeVcS/sCVU+CSjNp6YnXjhlJxIkqRqvMOuFx1AkXyyC0QJdE5BARitYI8hzhRX\n4fcLV9wOIJ2fEbDEM0g6B7USamE2mAO/wDCiJJel1v9TPEWngL32mu/vm/3LbI5kHKFl9ZaMuWKM\niisMPTwRMP/vqOS4zNGjcPXV8MEH4hru2W+f5dvUb6mVUIslA5YUW5AbbgSrBPqll0R0MSkJ1q6F\n887D3LHsDuxOO49e9yij2o5SbzF+kCQ7gAzh4wDats1TDP/BB3DttaLwecDnA/ju6HfUq1SPlLtS\naJrctFzvL7uzjmUd44YoLYFOTxcl/BBmDiAtAhaRFBfF7Ny4M3vv38s3/3zDkYwj2J12ejTtwQ0N\nb3Cfyz75BN54Q7zHihXQUEXzpWpn07w8qFnTyMPXPszEjRN5/YfXKyQArT+0nhGrRpBuSaeSsz45\n8z6juuU6Vv+M26odzcQYXQKQVAEHkN7rQkVBwiUClmsVBdBYE8NOAHKf1Bw6dOiQXP/ToaIAZJRP\ndpHbAfQfB5ACn+HzeSL+pbdGr/sHvEqg9X6WQCcdB7T4ly9KioD9ePJHADo27Kj1/xTBH3dqob2Q\nV7e/CsArN78SMSJFeTG4I2D+O4AmToStWy+My3x16Cte/v5l9Do9S+9YSp1KdQK1ZNXxLoFWy72x\nZg1MnSqEtSVLoE7jbK79sDfplnR6NevF9K7T1VlIGZAdQISJA+jYMRgwQJyPJk4UbiuH08HwlcPZ\n8PcGqsdXZ/PIzeUWfwDqVqqLXqfnVM4p9CYrYI4qAchuFx0pdjt06ABxFXxGpqoDSCuBjkhKcuI1\nrtKY0e1G+/y5H3+Ee0WKk3fegY4dA7TAYlAtApbnMlOMuWIMVWKrsP34dnYc31Hm9ymwF/DYpsfo\n9Wkv0i3ptI7vSc7ruzGeuo7ly6FxY2XXHa7EuQQgW0UEIAIjAP2nBDpEx8Dn2VwfWmv4OYC8n2oE\nS2CTBaAqEfy0w+0AkpT7DJ/PEzZhgy3KBSDXcUHy1wGUpPX/FEdJEbCjmUcBaJbcTNU1hQPeDqDi\nWLRnEadzT9O6Vmt3zD2a0evkCJh/55s5c+C990RcZtUqqFsXTmafZMQqMfL6pRtfirhookFvAEkH\neieF1sBf9+zdC8OHi9fTp8MtPUS0bn/afi6tcSmfDvjUU7ofQiTFubIQpvyAOzQqSn4+9OsHZ8/C\nzTeLDitJkhj35TiW/bmMpJgkNg7fSIvqLSq0HaPeSL1K9ZCQsJjEOS+aBKBHHxVxmZo1YenSir9f\nMEqgoznaH4mYy+HE+/dfcbywWmH8eI8QpCaqdgABJJoTGX/VeAAe2/wYhfZCv99j27FttH2/LTN+\nmIFBZ+CBS6ZzYMqXkF+dt96Czp0DsfLwJNYkBCB7eQUgZ+AEoHAZAx/ODiDvpxrBEtgcLgGoanzk\nCkCB6ADKsMgCUPSOgAfPcUHnbwm0JgAVS0ki8PFs4ZxqULmBqmsKB0pzADklJ6/veB2AyR0maw4q\nyuYA+v57T1xmzhy45hqXY2LVcM5bztP94u48fsPjgVxu0NBJQigrsJZvWpq/nD8vupVyc2HIEHjs\nMXhyy5OsO7SO5LhkvhjyBUkxoenSjZcj0CaL6MYLUSQJxoyBXbvg4ovF9DqDQWLS15P4aPdHxBnj\nWDd0HVfUuUKR7ckxsDzjMSB6OoDmz4f/+z9l4zJqjYG3WiW3AyhUf980ykdZp/EVFAjx59QpoVu8\n+Wbg1lYSqjuAACZeO5E6iXXYdmwbd625q9Qb038y/mHIiiF0nNeRv87/RYvqLVjV53tWTXoCa6Ge\nceOEgqbhocIOIFkAMqhQAu3HU9ZgkFkgbsQpTAo7AchbZCvp6X8gcRhFB1DVuMgVgNxj4CXlPsPp\n+SICZox2B5DuQgdQ6REwTQAqjpJEYLcAlKQJQEUp7dy0/tB6DqQdoH5SfQZfNljNpYUsBtkB5ChZ\n2JDjMna7KHwe5aqfmb5tOimpKdRKqMWCvgs8XWARhtyVVBBA+4YclzlyBK64Aj78EBb8/gkzfpiB\nUW9k+cDlXFT1ooBtv6IY9Aawm0EnkVvg/8NitXn1VeFGSUwUUbvkZHjxuxd5Y+cbmPQmVg1axQ0N\nb1Bse7IAlGsQAlA0OIB27oRx48Trd9+FGxTanWo5gHKsuaB3YnDGB+S+SiN4lEUAkiTh9vnpJ2jU\nCJYtq3iPVXkJigBUM6Em64etp5K5Ekv3LmX0mtGczD55wfdLksQPx39g2MphXPLOJSzdu5QYQwzP\ndHyGnXftZvr9Hfj3X5GZe+sttf4rwge3A4jQE4CKZm7lC7xQi4CdyzsnXuTVCjsByPupRrAiYE6z\neNqRnBD5ApCSJdAZLuHR6IhuAagsJdB2O5oAVAIlicDHszQHUHGU5gCauWMmABOvmahd1LtwO4BK\niIDl50PfvmLyV7dunnLtbce28VzKcwAs7LeQWom1Ar3coKGTxOelMIAOoMmTYcsWqFVLTJf57fwP\n3PulyBq80/MdbmxyY8C2rRh24QLKsYRmEfS6dfDUU+L1okXQqhW8ufNNnk15Fr1Oz6cDPuWWprco\nuk1ZAMrRR4cAdPKkJy7zwANwzz3KvbdaJdDZheJ62OyM3OvhaKUs0/jeeAMWLhSTvtasEZO/goWq\nJdDetK3dllWDVtFzcU8++f0TPv3jU7pe1JUqsVXIKcxhx4kdpFvSAXEjMKL1CF666SUaJDVkzBjY\nsQMaNIDlyz35Ow0P8RUVgFwdQGY1HEAhOgb+bN5Z8SKvZtgJQBc4gIIUAZPMcgQscu2u7giYpFwE\nLMslAJkc0R0Bc3dS6PwtgdYEoOIoTgSWJIljWeImQnMA/ZeSHEAnsk+QkppCnDGOe65U8I4kzDG4\nCo6Li4BJEoweDbt3i7jM0qVgNEK6JZ2hK4bikBw8fv3jdLu4m5rLVh3ZAWSxBubufd48ES2Q4zK6\nyifoP6c/VoeVCe0nMO6qcQHZrtLoHfE4ySLbkg+E1jlx/34YOlR8pl98UUTtFu1ZxMSNEwH4sPeH\n3HHpHYpvt1HlRgBkEfkCkMUixJ/Tp6FLF3EDrSRqlUDnWMX1cIwU3Q/2IhF/O4C+/lp0WIGIM7Zp\nE9BllYqqY+CL0vWirvw49kemb5vOiv0r2PD3hgv+vW6luoxsPZL7rrqPRlXEAe+tt8SJLS5OqGc1\na6qx+vAj3iwEIIeu7ALQrl1w4KANroFqVaN3DHwkCEAXOIBUFNjsTjuY80DSUTUhUbXtqo07Aqag\nAyizUETAzFHuAJKPC36Pga9yGoA6iZEzLUgpihOBMwsyybPlkWBK0IopfVDSw4nVB1YD0KNpD63T\nwQv599ZWzC/sK6+IjpTERDGKPDlZCJH3fHEPx7OPc029a3jxxhfVXHJQ0MsOIJvyDqAdO+C++8Tr\n996DK6620Gl+P87kneGmJjcx65ZZim8zUOhcDqDsgtByAGVmCsEnOxsGDoSnn4YtR7Yweo2Y+DOr\n+yzubnd3QLYtO4AyJVHgH6kCkByX+fnnwMVl1HIA5djEg70YNAdQpOFPBOzQIRHHdTrhmWfEMSPY\nBM0BJNOuTjs+H/g5qZmp7D61G4vdgkFn4Op6V9O4SuMLShW3bIFHHhGv582Ddu1UWHiYEm8WJ82y\nCkBnzwprtv1S8Ulu0Sx6x8CfzQ9fAeiCEuggCGw5hTniRWESMebI7HAAHw4gBT7DWVZxoWCO8idF\nngiYnw6gWLHfNCHjvxQXAZP7fxpWbqgVGPugpGPnyv0rAejfsr+qawp15BHnNh8dQF9+KW6UdTpY\nvBguvVR8fcHvC1i5fyVJMUksGbAkKuJ0sgNIaQHo5Eno31/EESZMgDFjJEauvpdf/v2FJlWa8Pkd\nn4fV/tU743EAOQWhMwre4RCF2ocOiaf48+bB3rN/0P/z/ticNh659hEe7vBwwLYvC0AZzsgugZ41\nS8Tq5LhM9erKb0M1B5BNOIBiNQEo4ihNAMrOFmKxLBo//7x6ayuJoAtAMo2rNKZxlcbF/vvhw0Ix\nczhE3nbQIGXXF2mUxwFktYpSxuPHodbNNs4QmAhYuIyBjxQHkPsptooCW2aBONlRUDns9l1ZKFoC\nrcRnOMclAMU6Q8vurjZlGQNvtUnuEauVY7ULrKIUJ7Jr/T8lU9yxMy0/ja1Ht2LUG7mt+W3BWFrI\n4nYA2S/cZ95xmZdegj59xNdPZJ/goQ0PAfB2z7dpUrWJqusNFnJZtpIl0BaLeIB3+jTceKO4gZ61\nYxaL9iwiwZTAmsFrqBZfTbHtqYHeIR5m5oWQA+iJJ2DDBiFIrF4NGY4T9Fzck+zCbO5sdSczus8I\n6PZlAei84xggYbNFnni/caOYWAewYEHg4jJqlUDn2TUBKFIpSQByOmHYMHH+a9VK9P/oQ+SZeLmX\nsWzZMlq1aoXBYGDXrl2lfr+vCJi/5OQI1SwjA267TWRtNUomIaZsApAkwYMPwrZtUK8edLsl8FPA\nQn0MfDgLQN5PNYJRsp2e7xKACisTycaCohEwJT7D2VYRAYshup0sZSmBLrQXgMGGUWcm1jUBUcND\ncSK7NgGsZIpzTq05sAan5KRrk66a46wIRsN/HUAZGeIaLidHPMiTS3MlSWLs2rFkFWbRu3lvRrQe\nEYwlBwU9ypZAy3GZX36Bxo3h88/hm6MbeWyzuIv+pO8nXF7rckW2pSYGZzwAuYWh4QBatAhef130\nVi1fDlVrZ9FzcU9O5pykY8OOfNL3k4BPrqscW5mkmCSsUj7EpUdcBOzQIRg8WNw8T50qHkwHCrXG\nwOc5xDVxnF47X0QaJZVAT5kinK9VqwoXW6VK6q6tJMp9lLr88stZtWoVnTp18uv7S3MAFYfTCSNG\nwL590LKlsA2HinoWyiTGipsgp94/Aej992HOHIiJgVWrwBTrEoD00TsG3lsAMqrmlVOGYI+BT88T\nJzudNbK7MQIRAcuxuxxAUS4AeTqASo+AWSTxeUs0RPc+K45iI2BZmgBUEsU5gFYe0OJfxSHvM7kD\nyDsu07atiMvIDwU+2v0RGw9vJDkumTm950RVDFF2ABXalbl7l+MyCQmiWylT/zeDVwzGKTmZ0mkK\nAy4N4F10ADE4hQMotzD4DqCff4axY8Xrt96CDjdY6fdZP/ae3UuL6i1YPXi1ag8gZBcQlY9FlACU\nlSXcgZmZws327LOB3Z5qDiCHuK6L02sOoEijuBLozz6DadPEfcLnn4uhB6FEuaWUFi1a0Lx5c7+/\nv7wC0PPPC9WsShXxd1Jk308qhuwA8kcA2roV/vc/8frDD+GythZ2nRKurjhTnOJr+08JdAhGwCRJ\n8hKAaoStAyhYY+BlAUhvi+yTXSAiYLkuAShep0XAwL8ImCwAJRgj+/NWXoqNgGVrEbCS8CWc5Vnz\n2HxkMzp09G3RN1hLC1lMRTqAHn9cxDnkuExCgvi+o5lHeWSjKHV8p+c71E6sHZT1BguDywFU3LS0\nslA0LtOoeTZ9lvQhsyCTPpf04bkuz1V4G8HCIIWGA+jUKSFIFBbCuHFw330So9eM5tvUb6mdWJuv\nhn1FclyyauuRJ4FR+VjEdAA5HCIuc+CAiMssWBD4B/5qlUDnO8U1SrwmAEUcviJgu3fD3a4O+Jkz\n4eab1V9XaYRMB5AvVqyAF14QB4DPPoNmzZRfV6QiC0CSoWQBKDUV7rgD7HaYPBmGDnNy57IR/H7m\ndxpWbkiPpj0UX1vRA24oRsByrbkU2AvQ2xNw2hLCTgAK9hj4DEs2EPkCUCDGwOc6RAQsThfdbpay\nlEAXyA4gTQDyiRYBKx++HEAH0g5gdVhpVaMVNRO0MaRFkfeZ3eFg4UJx8Ws0iuu5Rq57VqfkZPTa\n0eRYcxjQcgCDLxscxBUHB9kBVFEB6OBBz3SZZ5+Fvv2c9PtsBPvT9nNpjUtZ2G9hwCNJgcQoiYeQ\n+bbgOYAKC0UM6d9/oWNH4f55+punWfzHYhLNiawfur7EDtNA4HYAVTkaMQ6gKVNg3ToxGVCtuIxa\nJdAWZxYYIMGgXaNEGkUFoLNnReTZYoG77oKHHgra0kqkRAGoW7dunD59+j9fnzZtGr179y7DZp7j\nl1/gueegS5cudOnSpdSf2LMHRo4Ur2fMgO7dy7A5DRJiYgAhAEmS5NNanZcnPqRpadCjhxjP+ujX\nj7Ji/wqSYpJYP3R9QJ5ohMMYeNn9YyisiRPlR08GmmCPgc+0iBtyY4QLQPJ+RkEHUL7LKhwf5Vlx\n+bgg4UcHEC4ByBTZn7fyUmoETHMA+cTXfjuQdgCAljVaBmVNoY7J1QH072k799wjvvb22+DdFvDR\nro/45p9vqBFfg9m9ZkdV9EtGiQhYVpa4hsvKgn79RF/KcynPsfavtVSJrcKawWtIiglv27zR5QDK\nswbHASRJMH487NgBDRqI3p+P97zP9G3TMegMLB+4nHZ11B9JfEEELAIcQEuXwvTp4ppKzbiMWhEw\nd0zdGN3XdZGIdweQ1SpMFcePw7XXinqVQJ3eUlJSSElJKffPlygAbdq0qdxvfCHP0aiREID8IS1N\nnNTy80X/z8OBm6YYscTGGMBhAoMNm9OG2WC+4N8lSSiTe/YIZ9Wnn8LMna8xa+csjHojK+9cSaua\nrQKytnAYA+8WgCw1sRF+AlCwx8BnuAQggyO8Lz5LQ97P7hLoCn6GnZLTbRWO9idF8nFBjoCV5AAq\n1Il9Vskc3fusOHwdY52SkxPZJwDNAVQcvhxA+9P2A9CiWougrCnUkQWg7Fw7FMJ994k/MumWdJ7c\n8iQAb/V8ixoJNYKxzKBj1JlAAms5x8B7x2Uuu0zEZVYeWM6L372IXqfnszs+o2lyU4VXrT5GhAPI\nEiQH0Ntvi96quDjhSvkx4wseWP8AAHN6z+GWprcEZV0XCED/BmUJirFrF4weLV7PmgVdu6q3bbVK\noAsk8WBPi6lHHt4dQP/7H3z/PdStCytXil7dQFHUUPN8GefLKxIBkySp1O/xNwJms4kpEamp0L69\nKCaOwodDFcZsBuyxYLBhsVn+IwC9/LJ4kpGUJAoDV6V+zOObH0eHjgV9F9D1osAdgYsbAx9KETBZ\nANJbhMU/3ASgYI+Bz3KNgTfaI/tk53YAOZVxWeUU5iDhhMJEzMYw+9ApjPy5BXGgKHEMvF5cXCVp\nApBPfInA5/LOUegoJDkumQRzQrCWFtL4ck/KDqAW1TUByBdG+fdW56BjR3jzzQv/feq3UzlvOc+N\njW9kUKtB6i8wRDDojeAAq6N8DqCicZkjeXsYtXoUADO6zaD7xZFhmzchHED5NvUdQFu2wCOipop5\n88BW8ycGzR+EU3LyXOfnGN1utOprkvEIQEexHQ3aMirMmTOiW8liEZ0pDz6o7vbVcgAVuFzKlTSX\ncsQh3x9+/DH89ptnmFKdOsFdV2mUOxi8atUqGjRowM6dO+nVqxc9e/Ys8fv9HQP/8MOQkiJ23KpV\nEKtN9C0XJhNCAAIs9gufnKxZIy4edDrh/DnAau75Qni13+zxJkMuHxLQtRXnAArFCJguPzwFIFk0\nlaTgRMCyC0UHkMkZ2Sc7pSNgmQVCyKCgSth95pTGHQHzowTaqhcXV0kxkf15Ky++RHat/6d0fE2o\n1ASgkkmMF88Vq9W0s3y55+kowJ4ze5j9y2wMOgNv9XwrKqNfMkZ9+UugveMyy5ZBUu00bl96O/m2\nfEa0HsHD10aObd6sC44D6PBh8TDa4YCnnoKruh3mtk9vw2K3MLrtaKZ2nqrqeopSJ9F1d5lwNmxL\noIvGZWbPVv+Bv1ol0G6XsiYARRzytfpvv4m/586Fq68O3nr8pdwCUL9+IWyROAAAIABJREFU/Th+\n/DgWi4XTp0/z1Vdflfj9/jiA5s6Fd98VFwwrV0K9euVdnYbJBGQ2BmDbsW3ur+/dC8OHi9fTpkFi\nq60MXu4ZFfrgNYGX34srgYbQEYHcE8DCWACSnVb6IETAsgrFyc7kiOyTndJj4DUByIMnAlZ6CbTN\nJQBV1gQgn/iKgGn9P6VTVDizO+0cSj8EwCXVLwnaukKZ+Dixz16e5qBmkY7sJ7c8iVNy8kD7B7is\n5mVBWF3oYNRdOC3NX7zjMm+8AR0727hz2Z2kZqZyVd2r+OC2DyJKWDPrhAPIYlfPAZSTI2ooMjLg\nttvgf0+co8fiHpzLP8ctF9/C+7e9H/R9XD2+ungRnxaWJdCSJNw+27aJe71Ax2WKQ60SaKtLAEoy\nax1AkYb3tfqkSaK6JhxQbTRAaQLQtm3wgIjVMmeOUIM1yo/JBPwhnDyL9iwCID1dnNRyc2HwYOg0\ndAd9lvah0FHIfVfex/NdypYfLC++DrihVgTtFoByw1MAAi8BCPU7lrKt4mRnliL7hjxwDqCqYfmZ\nUxL3GHg/SqDtBvF5qxKrXVz5wtfxVXMAlU5RB1BqZipWh5X6SfVJNCcGc2khi9E1Bt4Uc6GwsfvU\nbtYfWk+8KZ4pnacEY2khhcntAPL/7v3MGc90mdGjYcIEmPz1ZL5N/ZZaCbVYNWgVcaa4QC05KMgO\noAKHOg4gp1PcwO3bBy1bwtz5+fT9vA9/p/9Nu9rtWDZwGSZD8E/OSTFJQkSMyaXQUfK031Bk9mxx\nr+crLpNvy2fT4U2889M7PPvts+w7uy9g61DLAeSOqWsPqSKOWrXE3927i2FK4UJIjIE/dkyMWLTZ\nYOJEGDVKrVVFLiYTsHcwdJ/M+kPrOZuTzrBByRw5AldcAXc9t5Xui3qRZ8vjzlZ38s6t76j2RMNX\n5lav0+OQHDicDvcFZDA5my8EIGdO+ApABgPY7cFxAOW4BKAYKTpKoJUaA59RIEbAaw6gspVA240u\nAShOu7jyha8I2MnskwDUT6oflDWFA0X3m3sCWHVtAlhx+IrNAUzbNg2AcVeO87gXohijqyzb5vTP\nAWS1iuvkEyfguuvgvfdg3m8f89ZPb2HSm1g5aGVE/i6b9eo6gJ5/XtQkVKkCK1c5uG/TUHae2Emj\nyo1YN3QdlWJUmE3uBzqdjqox1TlXcJpCw3kgfCITKSme0dgffij6XkEIP+//8j6vbn/V8xAWePG7\nFxnRZgQzus2gZkLN/75hBVDDAeRwOrAbcgBC5vOjoRxjx4oJgbfcAsbg3776jWoOoOI6gPLzRQHY\n2bNw881i5LtGxTEYQJ9fB47cjM1pY8iLy9i8GWrWhNGzPqPf8p7k2fIYdvkwFvdf7FW4Gnh8te7L\n2w81B1C4C0Dg5QBSsQMoreAUAHHOWqptMxh4SqCV+fyeyzsnXuRXD8vPnJLIN5L+lEA7XAJQVU0A\n8omvCJjsNqsWVy0oawoHisaTtf6f0pEf4Ni9hI395/az4s8VmA1mJl83OVhLCynk/WTzowRakoTb\nZ/t2EZdZsQJ2nd3B+HXjAZjdazbXNbguoOsNFjF64QAqVMEBtGIFvPCCuEZdulTincMPseavNVSN\nrcpXw76iTqXQanVNjhVCaqE+Lcgr8Z/UVNGtZLfD5MmeSoptx7bR6r1WTPp6EmfzztK6VmvuueIe\nRrcdjUFvYMHvCxi2cpji61GjBDrHKsQfCisRa1bvXktDHeLjoV8/8Xc4oZoAVFDw318wSYIxY2D3\nbrj4Yvjss/BSz0IdkwnYI46u35xfiLHGEa5/+QEmpAzGYrcwtt1YPun7ieqOm+IcQBA6k8BkAciR\nHb4CULA6gJySk7MFYrx0gj2y4yXuMfCSMpPW3E+98mqG5WdOScoSAXOYNAGoJHxFwLKtoqg9KSay\nXXoVxdvRoglApePeX17n8td+eA0Jibvb3k3dSnWDtbSQQo6A+dMBNHu26MiMjYXVq0FKOMWAzwdg\ndViZ0H4CY64YE+jlBo1Yg7irKnAG1gG0Zw+MHClez5gBexJf592f38VsMLNm8Bpa1gg91181l5PO\nagwPASgvT0QY09KgRw8Rl3E4HUz9diqd53cmNTOV1rVa8+WQL/lt3G/M6T2Hj27/iP0P7CcpJonN\nRzaz/dh2RdckX8NJkvgTCOSpuJqzWyOUUEUAklWxoi6gV18V0wwSE4XlMjlZjdVEDyYTcKAfWOOh\n4XbsD1zMqpPvYTaYee/W95jTe46qzh8ZX5nb4mzjwUK+Ebdnha8A5HYAqbxvz+WdwyYVQn4ysYbI\nHi8t72NJoTHw5/JdDqC8GmH5mVMSdwSM0kugnWZxgZWcoAlAvvAVAZMn9WkCUMl47ztNACqdog6g\nQnshy/9cDsCkDpOCtq5Qw2SQ91PJDqCicZnW7awMXDaQU7mn6NSoE7NumRXglQaXGJcAZHUGzgGU\nliaEifx80f9Tu9sSHtv8GACL+i2iY6OOAdt2RageJwQgmyn0BSBJgrvuEkJbs2ZiAnGePZvbl97O\ni9+9iCRJPHnDk/x8z8/0at7rgkqKpslN+d/V/wNEHExJdDrP5LFA9QB5uh0rR/11nUbooIoAlOC6\nB/QWgNatE6MVARYvhlat1FhJdGEyAdZE2C1GRtRKqEWvZr3YPno749uPD9oUA1+Z21AaBe9wOkjL\nd51Q86uj13t1vYQR/ymBVsldJZfLkt0g4k92SpdAuwWgfE0AKssYeEkTgErEVwRME4D8w/vhxP60\n/YAmAJWEWzBzfdZSUlPItebSulZrmlVrFsylhRRykXBJDqDUVDEm226HRx+FYcNg0sZJbD++nXqV\n6vH5HZ+HRCFxIIk1uCJgAXIA2WwikpSaKrpohj+Twl2rRRHpzO4zGdhqYEC2qwTVE1wCkDn0BaCX\nXoLlyyEpCdauhRz9MTp81IF1h9aRHJfMphGbmNZ1GmaD2efPT7x2IonmRDYe3siPJ35UdG2BLoKW\np+JSqAlAGqGDqgKQXAS9fz8MHSoU4RdfhD591FhF9GF2HUc7W97i3COZnJ58mi+HfslVda8K6rp8\nOoB8PKEOFumWdJySU3RjOI1he8Au6gBSS1w7lnVMvMhqGLb7zl889mGFHEB5mgNIxiMKl14CLcW4\n+mw0AcgnPiNgmgDkF/K56XTuadIt6VQyV6JOYmh1gYQSRR1Aa/5aA8Dtl9wetDWFIh4HkG8BKDdX\nuFLOn4eePWH6dFjw+wLe+fkdzAYzK+5cQa3EyO7YA4gLsAPo4YeFy6pOHXjl433cubIvNqeNh655\niIevfTgg21SKGi4ByBET2gLQmjUwdapw2nz6KdiT93LdR9fx57k/aVm9JT+N/YmuF3Ut8T2qxVdj\nQvsJgKdQXikCXQTtiYBpApBG6KBqBCwvDzIyxEktO1uo7k8/rcYKopMhQ+CGG2D5Mh3VK4XOjVGo\nj4GX41/V48I3/gUeAUin8hj441kuB1BWFDmAlCqB1hxAbtwdQLqSS6CdTglixAWWJgD5pqQImDaV\npGTkc5Ps/rmk+iVBc8+GA94dQJIksfavtQD0uUR70ueNWwCS/hsB847LNG8ubpr3nN3NuC/HAfB2\nz7e5pv41ai43aMhj7a0o7wCaOxfefVc8LH3/05PctaknWYVZDGg5gJndZ4b873nNxNAXgPbu9RQ9\nT5sG1drspOO8jpzMOUnHhh35YcwPXJx8sV/vNeFqIQClpKYgKVjYo6YDSOu51QgVVPkoyg6g7Gwh\nShw6BG3awLx5nuylhvK88UawV+CbEkugQ6ADSBaAqsWGtwDkiYAF0QEU4feW7migU5meJc0B5MEd\nAaNkB1C2xQIGO9hjiDXFqLW8sEKLgJUfWTyTfzdrJ9YO5nJCHm8H0K5TuziZc5K6lepyZZ0rg7yy\n0MLsim75cgC99JKYSCXHZRzm8/T/pD8F9gLGtBvDPVfco/Zyg0acMR4ksEnKOoC2bYMHHhCv33w/\nmykHbuV49nGua3AdC/stDEo/ZlmRBSDi0nA4vB5IhQjp6eKBf26u64H0kO10X9iTHGsOt19yO0sG\nLHELfP5QL6keNRNqcjbvLMeyjtGoSiNF1hloB9CJbDEUhZy6UX9dpxE6qBoBe+wx2LgRqlcXlsCE\nyO6H1SiGUB8DHykC0H9KoLUOIMVxl0ArEAGTJElzAHlRtAS6uIuz87meCRsavinqsJQkyeMAMke4\nSltB5H0nF3lq+6tkvAUgOf7Vp3mfkHdTqI3Z6LsEevVqT1xmyRJo2szBkBVDSM1MpX3d9rxz6ztR\ntS9lgcCmoAPo2DEYMED0/zw40coK4wD2nNlD82rNWTt4bZlEiWBSwzUFjPg0bCV3iauO3Q6DBsGR\nI3DFFXDXs9/RY/Et5FhzGHzZYJbfubxc+/nympcDsOfMHsXWGuhR8EcyjogXGRdF/XWdRuigagTs\nhx/EmPfly6GRMsKtRhgS6mPgZQdLtRiRrw/XA7Z7RDnqFmy7BaAo6AByx+wUiIDlWHOwOqwYnPFg\ni4/4fVcablG4lDHw5/OEAKS3avGv4igaASuwF2B32okxxBBj1FxTJSHvO00A8g/vEmgt/lU8MUaX\nA0jyOID27hVTqEB0/tx6K0z5dgqbjmyiRnwNVty5glhjbDCWGzTiTeIGwoYyDqD8fOjbF86eha43\nS2R0vIfNRzZTM6EmG4ZtoFp8NUW2owbVQ1gAmjwZNm+GmjXhsdnf0m9FT/JseQxvPZyF/Ra6heKy\nIgtAf5z9Q7G1+noorSSaAKQRiqjqAAJ46y3o3FmNrWqEKqE+Bn778e0AXFpVlGWH6wHb0wGk7r71\nRMAi3wHkLoF2VjzCKEdMYuw1gPD93CmFvyXQ6flCANLZNAGoOIpGwLT4l//I56aMggxA60wqDfnG\nrsBewJ4ze9Ch48YmNwZ5VaGHyeUAcrgEoPPnPXGZoUOFY37tX2uZvm06Bp2Bz+74jAaVGwRzyUEh\nwSxcInZdfoV7XyQJxoyB3bvh4ouh7cNTWfTHAuJN8awbuo4mVZsosWTVqJEgrhWIT8NqDe5avJk3\nD958U1zDPDl3C3dv6kW+LZ+72t7F/Nvnl1v8Abi8lvICkOYA0ohGVBGA6tcXf48bB+PHq7FFjVAm\nlMfAOyUn3x/7HoArkoVSGa4H7GCMgbc5bJzKOYUOXVTknZUcAy/Hv0w2TQACz403pZRAZ7gEIIMm\nABVL0QhYjjUH0AQgfyjqANL2WcnIn7VTuaeQkKiZUDPqXCv+IDuAHJLtP3GZDz+EE9nHuXvN3QBM\n7zo9akW0GLMe7MKlWOgorNB7vfoqLF0KiYkw7I0PmPnzSxh0BpYNXBb06bjlwdsBZLUqV4pcEXbs\ngPvuE68nztrGU3/0xmK3MLbdWD7q81GFu5XcDqAzygtAgXAA2Rw28VBU0kFmo6i/rtMIHVQRgKZM\ngS+/hHfeUWNrGqFOKI+B33d2H+mWdBokNaCmWeQUw/WAXdQBpIa4djLnJBISSbq64DSF7b7zF491\nuOIim+wAMlk1AQj8dwBlWDQBqDSKRmw1B5D/aB1AZUN+ui8Xn2ql2b4xezmAJk+GLVugVi3RAWSK\nsTNs5TDSLenc2uxWJl03KcirDR4mE1AojlPplvRyv8+6dfDUU+L1g++u5qXd9wPw/m3vc2uzWyu6\nzKAQb4pHZ48DUwHZFuWnpJWVkyehf3+wWmHgQ7/yQW4vLHYLd7e9mw96f+A+D1WEVjVboUPHX+f/\notBeMUFQJpAl0Mezj+OQHOhz64MjJuqv6zRCB1UEoKpVoVcvtPF3GkBoj4H/7uh3AHRq1Am7XRQt\nhusBOxhj4OUR8JURVvVw3Xf+4nYAOZRzABk1AQjwGgNfSgl0pksAMto1Aag4vHtZQBOAyoK877QI\nmH/I++tkzklAE4CKQxaAcvJt7rjMihXQoAG8sPUFvj/2PXUS6zD/9vmK3DiHKyYTkC7GhB86f6hc\n77F/v4jVSRKMfWEbbxwfglNy8nyX5xl7xVgFV6s++gLhAjqbG9xR8BYL9OsHp09D+1v38U3dW8gu\nzObOVncyt/dcxT7D8aZ4miY3xe60cyDtgCLvGcgImBz/0mddBGjXdRqhQ/SeVTSCRiiPgd96dCsA\nnRt1dpfqhesBOxhj4OX+nyQaAuG77/zFPQZeqnjPkuwAMhRoAhB4icKljIHPsAhnhtGhCUDFUVRg\nd08A08SMUtEcQGVDcwD5R6zZdYDXiQ6g996D66+Hb//5lpe+ewkdOhb3X+zpeYlSTCbg/CUA/HX+\nrzL/fEaG6FbKzobuw/ex3NybAnsB464cx5ROUxRerfoYrS4BKC94ApAkwb33ws8/Q73L/+Zol5s5\nbzlPr2a9WNhvYYVjX0VRugcokCXQ7v6fTE0A0ggtNAFIQ3VKGgMfzAiYJEkXOIDCXQByO4BUHAMv\nTwBLdEaXA8jpUCAC5nIA6TUBCPhvBKy4p3NZhcIBZNIEoGLRImDlR+sAKhuyYGZ1iFZaTQDyTYzJ\nZYk32JgwAcaOFQ8Bhq0choTElE5Torb3xxuzGTjfHICD5w+W6WcdDhgyBA4dgpbXnGBfux5kFmTS\nt0Vf3r31XXQ6XQBWrC6yAHQuiALQrFmwaBHE1jqOc3hXzuaf5sbGN7Js4DLMBrPi21O6B0gNBxDp\nmgCkEVpoApCG6pTkAApmBOxQ+iHO5J2hZkJNmldrzldfia9XCtMHvu4x8JJ67irZAZToiA4HUCBK\noPUWTQAC/yNg2bIA5KyiyrrCkWIjYGZNzCgN9xQwixYB84eiE340Acg3iXHiAN+8hZ1Zs8TXxq8b\nz6ncU3Rs2JEpncPfnaIEJhOQVj4H0BNPwMaNkFwvA+eQnpzMOcH1Da7n0/6fKu5KCRYmmxCA0vKD\nIwBt3Cgm1pFwhuSHbuaU5RjX1r+WtUPWEmeKC8g2lR4FH8gSaFkAcpzXBCCN0EITgDRUJ1THwG9N\nFfGvTo06sXKljpdfFiLKpDDtXwxGCbTsAEqwRYcDyD0G3lFxkU2OgOnyawKRv+9Ko6hrpbiLsxyr\nEIDMTs0BVBzFRcA0N0vpyDeKebY8QIuAlUbRG2tNAPKNySCEso6d7ZhMsPnIZlbsX0GCKYFF/RdV\naFR2JHFBBCzNfwFo0SJ4/XUwxBRQf/Lt/JW5l5bVWwZUmAgGZrsQgNIt6gtABw+K6XXOmHRqTu7G\nv9aDtK3dlvVD15NoTgzYdgMVAQukA0hyCUBaF65GqKAJQBqqE6pj4NcdWgdAU2NnRo4UX3v1Veje\nPWhLqhBuB5CKY+BlB1BclAhAssgmOZVzAJGnOYDAI1qU6gByCUAxkiYAFYcWASs/8udQRnMAlUxR\n4aJOYp0grSS0kfeTzWnD5rDx0IaHAHi649M0rNwwmEsLKdwl0JKOIxlHsDlspf7Mzz+LSB16G62e\nHcyerO+pV6keG4ZvIDkuOeBrVpMYh0sAKlBXAMrKEt1KWZYcqk7oyVndH7So3oKNwzdSNa5qQLd9\ncdWLMRvMnMg+QZ41r8Lvp4YDiIyLMBohAlKHGhGCJgBpqI6vCFiwO4BOZp/ky4NfYtQbWfT0HeTn\nw/Dh4ev+AS8HkALxJH+QJImjmUcBiC2MDgHI7QByVvzzKzuAJE0AAjzHhNLGwOfaXAIQmgBUHEWP\nr5oA5D9FHS3aPiuZooKZ5gDyjUkvDvB2p53Zv8zmz3N/cnHVi3m4w8NBXlloYTYD9jhiChrhkBye\nG+piOHUK+vaFQquDix8dyR7rGqrEVuGrYV9FpLAWDAHI4YBhw+DA3xbix/YhI+EnGldpzKYRm6iZ\nUDPg2zfoDW5h+XTu6Qq/X6AcQBmWDDIKMkgwJUBejai/ptMILTQBSEN1fJZAB3kM/Ee7P8IhOah6\nui8n9temfXuYMye81Xq1x8D/df4vsgqzqJ1YG6M1OmJMbgeQEhEwlwPImaMJQODlCizFAZRrFwJQ\nrCYAFYsWASs//3EAaRGwEtE6gPzD7QBy2Hj7p7cBmNl9JrHG2GAuK+SQz4OxuaUXQRcWQv/+8O8p\nJ7XuuYfDcUupZK7ExuEb3bGhSCNOEgJQhvWcatucMgXWbbBiGj6A/Jop1K1Uly0jt1A/qb5qa5CP\nK0oIQIEqgf4n8x8AGiVdBOii/ppOI7TQBCAN1Qm1MfAOp4MPd30IwLkN91K7NqxaBXFhHhP3RMDU\nEde8O5TsNqGcRfoJr6gDqLz7ON+WT74tnxhDDHaLyM5H+r4rDY9oUfIUMFkA0hxAxVP0+JpjzQE0\nAcgfvB1AJr2JGGNMEFcT+njvr1hjrPYZKwaTQRzgLXYLRzKOoENHj6Y9gryq0EM+D5pzSi6CliQY\nPx527pRIHPg/ztSdR5wxjnVD13F1vavVWq7qyAJQplUdB9DSpTD9VTsMGIat8VdUj6/O5hGbuajq\nRapsX0ZJAShQY+Blt1rDJK0AWiP00AQgDdUJtTHwX/39lSgvTr8I04murFoF9eqpvgzFKRoBC/S+\n/e7YdwB0btQZu118LdJPeJ4OoIr1LMnxrxoJNaJGPCuNomPgi42A2cV47ji9JgAVhxYBKz/eDiCt\n/6d0vB1AtRNrR8So7UAg76fUzFSckpO6lepq4qIP5POgMbtkB9Bbb8G8eRLGno+Te+m7mA1m1gxe\nQ8dGHdVaalCIRwhAWbbAC0C7dsHdo53QZyxcupzKMZX5evjXtKzRMuDbLoqSEbBAOYBkAahBgiYA\naYQemgCkoTqhNgb+5a/fEy9+vZcP3tdz7bWqLyEg/KcEOoDuKkmSLnAA2Vw9jZF+wlOqBFqOf9WI\nrxE1+6403B1ArgiYJIk/3kiSRL5DOIDiNQGoWIqLgGmCRul4O1q0+FfpFBWANHwj76e/0/8GoEnV\nJsFcTsginwcNGcU7gDZvhkcmOeHWB7FfMwOj3sjygcvpdnE3NZcaFBJ0QgDKtgdWADpzBm7vK1Fw\n4/+g7SckmBJYP2w97eq0C+h2iyMQETClHUC/nf4NgIaJzQDtmk4jtKiQAPToo4/SsmVL2rRpQ//+\n/cnKylJqXRoRTCiNgV/z64/sPP8VWOO5p/1o7r5b1c0HFDVLoP/J/IeTOSepFleNS2tcGjUihtvN\nVsEOoAscQFHinioN72OCbCIoeoGWXZiNEwdYE4gxmlVeYfhQNAKmOYD8x9sBpO2v0vHeX9oEsOKR\nS6AL7AUANKmiCUC+MLsO67p03w6gw4dh4GArzj6j4Grh/Fk2cBm9L+mt9lKDgiwA5TjSsDvtAdmG\n1Qr9B0icaP4UXP0uMYYY1gxew3UNrgvI9vwhEBEwJR1ATsnJpiObALi6xk2Adk2nEVpUSADq3r07\n+/bt4/fff6d58+ZMnz5dqXVpRDC+DraeiT/qOYDy82HEvGcAaHTmf7w3o4Zq21YDg/s6PPBj4L87\nKuJfHRt1RK/TR40A5CmB1hxASuPtCizOon0q95R4kVMn6vdXSWgRsPJzgQNIc0yViuYA8o+iZdma\nAOQb+bguZTYg1hjL6dzT7uNXTg7cOvgEmX07Q5tFwpUydD19W/QN4orVJc5shsxGOHFwOP2w4u8v\nSTBhAvxgeAk6voJRZ2TZwGV0vair4tsqC24BKC80HUC/nf6NtPw0GlVuRP1YIV5q1ygaoUSFBKBu\n3bqhd93NX3PNNZw4cUKRRWlENiWWQKvUASRJcNuDKeTU2IzOmsTm5x/FaCz958IJdwRMBQfQ1qOu\n+FfDTgBuESPS9mlRlBoDfzbvLKAJQN54ixbFXaCdynEJQLmaAFQS2hSw8nNBB5AWASsVb8FME4CK\nRy6BltEiYL6Rj+t2m55mySJK88jGR/gn/SjXPfImB2+8AhrspH6lBqTclRJ0YUJtTCbg7GUA/HH2\nD8Xff/ZsmLvvdbhpKnr0LOq/KCTcVfKxxX0NUAEC4QD6+vDXAHS/uDt2u9brqBF6KNYB9PHHH3Pr\nrbcq9XYaEUxJY+DVioC9+qrEtwj3z/1tJ9G0XrIq21UTzxj4wO9b2QHUuXFngKgRMdzCRAUjYHIP\nRP2kBjidoNN5O7iiE+/YUnEXaJoDyD+896XdaSfflo8OHQmmhCCvLPTRHEBlQ3MA+YfmAPIP+bhu\ntcKkDpMw6Ax8tPsjLnq7MXvrT4SEc3So1ZVd437lqrpXBXexQcBbANp7dq+i752SAg8ueBe6PwrA\nx7d/zKDLBim6jfIS6mPgNx7eCAgBKFquhzXCi1IFoG7dunH55Zf/588XX3zh/p6XX34Zs9nM0KFD\nA7pYjcgg2CXQ69bBk4s/g4bbSTJUZ1qfiQHfZjCQb5qRAuuu+ifjH45kHCEpJok2tdoA0ScAVbQE\n+vczvwNwaTWx/yLdOeUP3q6VYiNg8tO/nLoR/1mrCN5uqpxCzwh4bUJT6cjnJoAks+aYKg1vx5Qm\nABWP3AEk07hK4+AsJMSRO4BsNhjVdhS/3/c7rRJuFF9M7cKzl6xm27ivqZEQWRF+fzGZgDOXA8o6\ngFJT4bapH+HsOQGA93u9z6i2oxR7/4pSK7EWAGfyzlT4vkHpMfC51ly2H9uOXqfnpiY3Rc31sEZ4\nUeptxqZNm0r89/nz57N+/Xq2bNlS7Pc899xz7tddunShS5cufi9QI/LwWQKt0hj4/fthyKhcGDUJ\ngFm3vhKxMQi3gyTAEbBFexYB0KtZLwx6AwUFIKdBzRHey+u+cLCXX2RzSk7+OCMu3FpWFQKQdqFw\n4TGhuAu0f3P+FS+0CFiJeItpWvyrbGhj4MuG5gDyD+/9ZNQbqZ9UP4irCV3k47p8E20/1Yp/nv0G\nCmzMnGHikcHBW1soYDajuAMoNxc6TVhM3k33ADCz2xuMu2qcIu+tFLHGWKrEViGzIJN0SzrV46uX\n+72UdgBtTd2KzWnjmnrXkByXrAlAGgEhJSWFlJSUcv98hZ4zb9iwgRkzZrB161ZiY2OL/T5vAUhD\nw1ecQw0HUGYm3H475LR7CZL+pX3d9tzdLoLGfhXB0wEUuDHwkiSNVeobAAAgAElEQVQx//f5ANzV\n9i4kCe69F44cgUaNoG1bxTcZUrhFtgo4gA6nHybPlkfdSnWpbBIXMdqFglYCrSTeETBNACob2hj4\nsqF1APmHtwDUsHLDC/abhgdvASgtTVzD5efDyJEmHn44uGsLBUwmIK0Fegz8nf43FpuFOFNcud9P\nkqDb/1Zw/MpRoJOYct00HrkuNF3ytRNrk1mQyenc04oIQEo5gOT+n1suvgWIHke8hroUNdQ8//zz\nZfr5CnUAPfjgg+Tm5tKtWzfatWvH/fffX5G304gSgjEG3uGAIUPgUNZedNfNQoeOd2999wJ7f6Sh\nhgNo27FtHMk4Qr1K9ejapCtvvAELF0J8PKxZI/6OZDxj4Mv/+ZXjX21qtdEuFLzwPiYUWwKdq5VA\n+8MFETCriIBpbhb/0BxAZcNb2KiVUCuIKwltvEugtf6f4pHj0A4H3HEHHD0KV18NH3wguvKiHZMJ\ncMSQLDXHKTnZn7a/Qu837MU17Kw/BPQOxl86hRe6PanMQgOAUj1ASpZAWx1WPv/zcwB6NO0BaAKQ\nRmhSIQfQoUOHlFqHRhQRjDHwTz4JG762Yxx3N3a9jXFXjqN9vfYB2Vao4C6BDmAH0Pzf5gMwss1I\nNm8y8KjoCmTBAmjTRvHNhRz/KYEuxz7+/bQmAPnCezJgsSXQOZoDyB+0CFj58XZmaPusdOTPWnJc\nMjHGmCCvJnTxFso0Aah4dDohAtntsHUr1KkDq1ZBCaGDqEI+71V3XkaaYT97z+7lijpXlOu9Js/7\njCWOYWBw0L/2ZN69o2yOArWpk1gHqLgApGQEbNX+VZzOPU2rGq24tv61gCYAaYQmkWt/0AhZvJ/m\nS5J4Hcgx8IsWwYwZoL/hdey1fqFBUgNe6/aa4tsJNTwl0IER1/Ksee4nHZ2rjGLwYPH/6ZQpMGCA\nopsKWdxj4B3l38duB1BtTQDyxlsULtUBpJVAl4gWASs/2hj4slErsRZGvZFWNVoFeykhjXcJtDYC\nvmTkLkGzGVauhLp1g7ueUELeN9XsriLoM+Urgn553SfMTB0KegddDE+y/N7XQn5IgNIOICUiYO/9\n8h4A97e/373/tOs6jVBEmzWjoTre5xRJco28DlAE7OefYexYoMaf6G96FifwYZ8Po+Lmx+MACsy+\nXbRnEbnWXNrXuZaJwy9xdyxFU+WX58lR+XuWLoiAZYqvaRcKFx4TYnw4gPKseWQXZmOQYnAUVNH2\nWQl4R8DcApA20covtAhY2ageX5294/dWqJMjGvB2AGkTwEqmalXR+zNnDlx7bbBXE1rI570qtssg\nBvaeK3sR9Otb3+eZX8aDHi5Pe4Etbz4T8uIPKCcAKeUA+uPMH3x39DsSzYkMbz3c/XW7XfytXaNo\nhBKaAKQRFAwGcbB1OIT6HogS6FOnoG9fKLTZqXHP3ZzDyph2Y+h+cXfFthHKuN0pAYiA2Z12XvtB\nuKjs2x7iwAFo1Ur0/+ijyFfoHgNfTgdQhiWDY1nHiDXG0qxaMw6eE1/XLhRKL4GW3T8Jzjpko9P2\nWQloEbDyo5VAl51Lql8S7CWEPFoEzH+WLIHz58X1nMaFuAWgwsshsWwOIEmSmLF9Jo+niOx+vX0z\n2Dl/cthcw4WaA2j2L7MBGNl65AXnV80BpBGKaAKQRlCQBSD5gOt+2q+QSFFYKGJI//4LjYe9Qar5\nJ+on1Wdm95mKvH84EMgS6M/2fsaRjCNUdTZl96KBJCeL0udKUXZ/5CmBLp/ItufMHgAuq3kZRr1R\nu1DworQx8HL/T5yjDtlo+6wktAhY+fF2AGn7TEMpLiiB1iJgJdKxY7BXELrI573YgibEGeM4mXOS\ndEs6yXHJJf6cw+lg4oaJvPPzOwAkfvc2O+ZPCKvBHaHkADqVc4pPfv8EgPHtx1/wb2lp4m/tGkUj\nlAgTnVcj0iha6qqkA0iSYPx42LEDal/2F6daTAFgzm1zqBxbucLvHy54OoCUHQPvlJxM3zYdgIwv\nnsCgN/D553DxxYq8fVjhKYEun8jmHf8C7UmRN96iRUkOoDi7KILU9lnx+IyAaWKGX1zgANIiYBoK\nEWuMxWwwUyW2ijYtTaPcyOc9u9XAVXWvAmD2z7NL/JnMgkz6ftZXiD92M4ZVn7LhhQk0aBDo1SqL\nLAC5uwDLiRJj4F/67iXybfn0bdGXy2pe5v76/v2iFxOgQ4cKLFJDQ2E0AUgjKBS9oXPfoCggUrz9\nNsybB7EJVqqOGUaho5BRbUbRs1nPCr93OOF2ADmVdQCt/Wst+87tQ5ddH/aMYOZM6NpVkbcOO9zO\nFHv5Pr+7T+8GNAHIF96xJV8XaLIDKEYTgEpFi4CVH60EWiMQxBpjWT1oNWsHrw2LvhWN0EQugbbZ\n4Lkuz/1/e/ceJ3Oh/3H8NTPLuua+S27LpkSWlVBJiiU5sa6RNkKXX5cjzkl06EQJFYXcSqF0RORS\nSUnWeahQ2C4u2eSy7vasy9pde5mZ3x9fM3th2Z2d2a8Z7+fj0aNtdnbm0zzmO/Odz3wuAEzYOIEj\nyUcuef3tR7fTfE5zvtjzBaRVgo/WMuvpftx5ZzEF7EVXyxr4v079xbvb3sVqsfLqPa+6L3fNxTx7\nFnr1gieeKFKYIl6lBJCYIm9LR84PKEWxbh0MH2783HHCS+w6s5W6Feoy9b6pRbpdf5TdAua9GUBZ\njixGfD3KuNmNI3j0kZL8/e9Fvlm/VZQ18A6ngzV/rgGgTZ02gBJAOV2qBSznCZrrBLdUhrESRo9Z\n/tQC5jlVAImvdG7Qmbvqqr9JPOd638vMhHvr3Ut0w2hSMlMYtW5UruslpyfzwtoXaDW3FftO7yPo\nZHN492ee/ltbHnvMhMC9oErpKtgsNpLSkkjPSvf4doraAvbS+pfIcmTxSNNHaBzS2H1b/fpBfDxE\nRMD8+bkX4IiYTTOAxBR5X3C9sQZ+717o3du4zYdeXM+ipNexWqx83OPja6r1y8UXa+Dn/PQ+8ad3\nQ1I4LW1PMGvWtf2mlj0DqPCP8ZbDWzh27hh1K9SlWfVmgBJAOV1qCHSuCqALZd8l0lUBdCWXagFT\nMqNgXF9OWLBQtkRZk6MREcmWMwEE8GbUm6yOX82Hv3xIhj2De8LuYdvRbSzfvZwTKSewYKHa/qc4\nuXAy7dqU4q23zIu9qGxWGyFlQzh67ignUk5Qu4JnPWxFGQK9+dBm/vPbfyhpK8nLd7/svnzkSFiz\nBqpWNeZjltVbh1xlVAEkprioAqiILWDJyUap5alT0LHb/9hQJQYnTsa0HcOddfywttUL8raAFbW9\n7uz5ZJ7/8iUAKm+byIplJQkOLtJN+r3sCqDsLFhBk0DLdy0HILphtLsFQAmgbDmrAi1WJ3DpGUAl\nzisBdCU5H8sTKScAqFammpkh+Q3Xe1P54PJq1RGRq0reBFB45XBeuecVAD75/ROe+OIJ5mydw4mU\nE9x2/W10StjEyfkzCKtVik8/9f/3zRrljff//FreCsLTCqAsRxZPfvkkTpwMbz2cuhXrArBwIbz5\nJgQFwdKlEBbmcWgiPqMKIDFFfhVAnlSpOBwQEwM7dsBNDZ0E936cw38e5o7adzC67Whvhex3LhoC\nXcQWsAenTyLNdgLLodv5anJPatQoYoABIGdlis1iw+6043A63M/n/DidTpbvzk4AuSQnG//295My\nb8j5YdtmcwC23AmgCzOAgtKUALqSnC1grnkJrvkJcnmu5Jnm/4jI1cY1AygjI/uyEXeOoFejXqzY\nvYIfEn6gaWhTOjfozPqPb2XE+xbKljWqUqpWNSdmb6pboS7bjm5j/+n9tKrVyqPb8HQI9PTN04k7\nFkdYxTDG3G1Mev7pJxgyxPj91Klw990ehSTic0oAiSnyvuAWZQ382LHGm1nFihAz5X1Gb/mM64Kv\nY2H3hQRZr92nuDeHQH/8VTxrzr4BQTC61Zu0bKlvwiH38ECb1YbdbsfusF/xebcrcRfxSfFUKV3F\nPf8nMRFGjDB+HxHhy6j9hyupZr2QAMp5gub6xs+qBNAVuapYMh2ZHE85DkBoOW0eKoicFUAiIleT\nvBVALvUr1Wf47cMZfrsxFHPNGqMtCWDBgsA5x6hXsR4A+07v8/g2PBkCffDMQV6KNSri3+n8DmVK\nlOHoUYiOhvR0ePxxYxuxyNVKLWBiCm+tgV+2DMaNM25v4gc7GL/NmEg88/6Z1KtUz2vx+iNvVQDt\n2+fk0aXPQFAGjTMHMm7IHV6K0P/lrGQrzHN4xe4VADxw0wMEWYPIzIQ+fWD/frjttuy1odc614dv\na5Dx3HW9XpzPOs+p86cIsgZhSTW+xlQCKH+uBPvxc8dxOB1UKV2FkraSJkflH1QBJCJXq/wSQDnt\n2QN9+xpfuL70EvTsWTyxFQfXef6+U54ngApbAeRwOhi0chDnMs7R4+YedLmxC+npxuN65Ai0aWNs\nI1bHsFzNlAASU3hjDfyvv8Ijjxg/vzIphWlH+5CWlcYjTR+hf0R/b4brl1yPsbMIFUApKdDuqWVk\n1vmGoKxKfDvidW+G6PdyzrIqaBWb0+lk6c6lAHRv2B0wNtetXw/Vq8Py5VC6tO9i9ieupJpRAZR9\ngpazjSkr07iOEkD5cz2OmQ7jU4LavwrO9d6krWkicrW5UgLozBljPuaZM0Z1yr//XXyxFQczKoBm\n/jSTdfvWUbVMVWZ1mYXTaVT7/Pgj1K5tfDFdUt+vyFVOCSAxRX5r4AtapZKYaLyppaYa83/ib3iG\nnSd3cnPVm5l5/0xfhOx3stfAezYE2umEhwad5mCjoQBMinqN6tdpcGxOl6oAutLjvPnwZrYf207l\n0pWJqh/F3LnwzjvGCcNnn0HNmr6O2n+4XhesttwVQHuT9gJQ+7raGpxdADlXmYMSQIXhrgBSC5iI\nXGVc73s5ZwC52O3Qvz/s3g2NG8OHH+aoDA8Q7gqgIiSACjME+o/EPxix1ujVf/dv7xJSNoTp02He\nPOOLuxUrICTE41BEik2AvRSIvyjKEOjMTGPdu6td5q5nFzD/l/mUDirNkt5LKFtS+xYh+43eafes\nBWz8eFiVPhyuO0LTKq0Z2uYxb4fo93INgbYWrNJq2uZpADzW/DG2bSnNU08Zl8+eDbff7rNQ/ZK7\nAihPC9jmw5sBaHF9CyWACsCVxHBRAqjg3DOA1AImIlcZV6XJpSqARo+GL7+EypVh1SooH4AvYWEV\nwwA4cPqAx5tuC7oG/nzWefou60taVhoxETF0v7k769YZFdxgJIGaN/coBJFipwSQmOKiIdCFaAEb\nNgxiY6FGDZj0wU6eW2t8gn7n/ne4JeQWX4Trl4oyBHrlShgz/2uInEcJSzCf9J13URWB5C4ddlcA\nXSbRdiT5CJ/u/BSrxUp0zafo0cM4cRs6FB59tDgi9i+u55zFmrsFbNOhTQC0rtVaCaACyLuVrkY5\nrfArKNdAdyWARORqk18L2KJFMHGicR64ZAnUr1/8sRWHMiXKEFo2lExHJoeTD3t0GwWtAPrnN/8k\n7lgc4ZXCeef+d9i71/gy2m6HUaPgwQc9unsRUygBJKbwdAj0e+/BjBnGtx7/+TSVZ//bh9TMVGIi\nYni0mT5B5+SuAHIWrDXJ5fffof+gs9DVqPh55d6xNKza0Ccx+ru8a+Dh8s/hOT/PIcuRxQM3RPP0\nw3U4cQLat4c33yyOaP2PuwUsRwWQ0+l0VwC1qtmKrCzjukoA5U8tYJ7rFN6JVjVb0btxb7NDERHJ\n5VIJoG3bYPBg4+cpU4xzjEBW1EHQBRkCvWznMmb8NIMS1hIs7rUYS8Z1dOsGp05Bly7wyise3bWI\naZQAElN4sgZ+40Z4+mnj5zlz4KPEZ9lxcgcNqzZkZpeZWDRyPxdPKoCSkozZSil3jIAKCbS4vgX/\nuOMfPozSv+VdAw/5J9rSMtOYvXU2AOfW/Z1t24xv5RYvhqDLb42/Zl1qCPSBMwc4kXKCqmWqUr9S\nfVUAFYBawDzXOKQxm4Zsol1YO7NDERHJJW8C6Phx4xwuLQ0GDYJnnzUvtuJS1EHQVxoCvePEDgau\nHAjAG1FvEFn9VmJiYMcOaNgQPv44x/m2iJ9QAkhMUdgKoIMHjRWLmZnw3HNgi/yID+I+oFRQKZb0\nWkK5kuWKI2y/kr0FrGAzgLKyjBLWv5zfQYs5lLCWYF63ee4WCLnYJYdA5/M4z/p5FidSTlDT0px1\nH7SlXDmjL79KleKK1v9kt4BlVwC52r9a1WyFxWJRAqgALmoBK68WMBERf+eaAZSRYfzTsyccOmTM\nE5w589pYRV6/ktHfVtQKoEslgJLSkuj2STfOZZyj3y39+HurvzN2rDEmoWJF4xyuQgVPIxcxjxJA\nYorCrIFPTTXWV544AR06wKAXdvHkl08CML3zdJqENimWmP2NuwWsgBVAzz8P3/73HNboIQCMaTtG\nM5Wu4FJr4C/1OJ/LOMeEjRMAOPzxOMDCwoXGZg7JX94h0A4HbD6U3f4FKAFUAGoBExEJPDkrgJ55\nBr7/3tgk+tlnEBxsbmzFxVsVQHlbwLIcWfRd2pe9p/YSWT2SuV3n8tlnFsaNM/7mk0+gQYOiRC5i\nHn21L6Yo6Bp4p9PoZd6+HcLDYe5Hydy3rAepmak81OQhBkcOLs6w/UreFrDLzQCaPx/efhss3Ybj\nqLCPpqFNGdlmpO+D9HMFXQM/ffN0ElMTsR1pjX3P/YwbZ5Rpy+W5XhdcQ6Dtdth87EICqFbuBJDa\n6PKnFjARkcDjSgCdOmXMyCxVylhFXv0aeokv6ir4/CqARn47krV/raVamWqs6LuC+J1leOQR43ev\nvw6dOnkasYj5dMospijoGvhJk4wse7lysGKFkxc2PsbuxN00qtaIOX+bo7k/l5FdAXT51qQff4Qn\nngBuWoUz8j2CbcF81P0jSthUUnElBVkDf/r8aV7//g0A7GtfpVcvC6NHF2uYfsv1mFptxnP3fGYG\n245uA6BlzZaAKoAKImcLWElbSSqVqmRiNCIi4g153/fmzoUWLcyJxSzuCiAPW8AuVQH08a8fM/nH\nyQRZg1jaZyllMuvQtpvRkfDww9mr30X8lRJAYoqCrIH/4gt48UXj54UL4buU6SzesZhyJcuxrM8y\nzf25AvcMIHv+rUmHD0OPHpBR4jilHxxCGjCh/QS11RVQriHQ+VSxjY19hdPpp2BfO5qUv5d5866N\nvnxvcCUuXBVA+1J/Id2eTsOqDalYqiKgBFBB5EwAVS9XXYlzEZEA4JoBBEYbf//+5sViltoVamOz\n2DiSfIT0rHSCgwrX+5b3C+kN+zcweJXRXTDtvmncfn1bOnaEAwfgttvg3Xd1Dif+TwkgMcWVhkDv\n2gUPPWS0gL3yClRr/gO95hvbqD7o+oHWkhfAldbAp6VB9+5w7JiTys8OJsl6kvb12jO09dDiDtVv\n5UxkXqqK7Y/EP5i2aRpgocKmKaxaY6Gc8pYF5l4Df6ECKC75WwBa12rtvo4SQFdmsViwWqw4nA61\nf4mIBAibDUaNgpQUmDDB7GjMEWQNonaF2uw/vZ8DZw5wY5UbC/X3Oc/j4o7F0fWTrqTb03nmtmd4\nssWTPPssxMYabXXLl0Pp0t7/fxApbkoAiSkuGgKdo3ri1CljPkpyMvTuDY89d4Lm7/Ymy5HFsNbD\n6N24t0lR+5fLVQA5nfD44/DTT1C54xySqnxJpVKVmB89/6KNQZK/K62B7zvvHzgsWVi2D2HF7EjC\nwkwI0o+5K4AuJIC+P7MIgO4Nu7uvowRQwSgBJCISeF57zewIzFevYj32n97PX6f+KnQCyHUe9z/H\nX9y38D7Opp+lT+M+vH3f28yda2HGDKPSavlyY8C2SCDQJz0xxUVDoC98eM6y2+nXD+LjoWlTeO/9\nLPot68uR5CO0qdOGSR0mmRSx/7ncGvgpU4y2ulI195B6l1FZNftvs6l1Xa1ij9OfXW4N/NTVq4lL\n/RLSy/Nah1dp186kIP1Y9hp4B1TbQULGb1QsVZFO4cb0xTNnjGSmxZJj6LlckivJXqOcVsCLiEjg\naFDZWMe19cjWQv+tzQaUPc5nZTtyPOU47eu158PoD/nxBxtPP21cZ/ZsaN36sjcj4lc8TgCNGTOG\npk2b0qxZM9q3b09CQoI345IAl98Q6C0/O/j6a6ha1dhkMHHzGNbvX09o2VAW91qswcSFkN8a+K+/\nhhEjAFs61z/bj/P2VGIiYujTuI9Jkfqv/NbA/3nwHP/47v8AaH3+37zwdKhZIfo19xp4mx2aGNU/\nPW/uSXBQMA4HxMQY17vWhl56wpVMUwWQiIgEki43dgFg6a6lhf7bdMsZeLgzZ2x7ubXGrSx/cDnH\njwTTo4dRYTx0KDz6qLcjFjGXxwmgESNG8MsvvxAXF0d0dDRjx471ZlwS4PJbA79jp52gIFi6FH45\nv5KJ30/EZrGxuNdiri9/vUnR+qe8LWB2h509e+DBB43HvfW/XuSv89uoV7Ee0ztPNzFS/2XN8Qrq\nSlakpdtp++8x2MsfpOzZ5qx7bagGBnrIvb7caodbjARQv1v6AfDSS/D551CpEixaZFaE/sP1/FQC\nSEREAknH8I5cF3wdccfiiP9ffIH/7lTaKWadi4Ia26mQ1YDV/Vdjs5cnOhpOnoQOHeDNN30YuIhJ\nPE4AlS9f3v3zuXPnqFq1qlcCkmtD3gqg/fsvPBUtDqZNg5pN/mTAigGAsZXq7rC7TYjSv+VdA5+R\nZadbN6Nt5vaYr9hknUKQNYhFPRdRoVQFEyP1b67nsvVCsmL4lE0crTsVHDZWDHqPMqU0as1TrqqV\npNKbofJfVLBWp11YO5YsgfHjjef4kiUQHm5yoH7AlUxTAkhERAJJqaBSdL2pKwCf7vy0QH+TmJpI\n+w/bcyDrJ0iqT5ektVQrE8KgQbB9O9SvD4sXQ5BO4SQAFWkG0L/+9S/q1KnDggULGDlypLdikmtA\nzqn7R4/C21OMC8Ib2BkwJJWeS3pyJv0M3Rt25593/NPESP2X+zG+UAF08KCD3bvhxluPEn+LkVx7\n9Z5XaVWrlVkhBgRXos31AXtT2VFgcRLTYBgdGjc3MTL/56paiS//AQC3lu7Dr7/YGDjQ+P3kycY3\ndHJlrmSaZgCJiEig6d3IWBBTkATQn0l/csf7d7D92HZCbA1g/gbKZNRl0iQj6VOuHKxaBZUr+zpq\nEXNcNgEUFRVFkyZNLvrn888/B2D8+PEcPHiQgQMHMmzYsGIJWAKD60Nzair06AGnTxkXNIu089SX\nT/Hr8V9pULkB87rNw6L+GY/krQBKTrFTqbKDqo/FkJh2kg71O/D8nc+bGGFgcCXazp658IAHJxNS\noh6zH1RbbFG5kmqJJX8G4ObUx4iOhrQ0GDjQ6M2XggmyGl9jqgJIREQCTUHbwP574L+0ntua+KR4\nmlVvxoiQWDhbiw0b4MUXjessXAiNGxdP3CJmuGxh29q1awt0Iw899BD3339/vr9/+eWX3T+3a9eO\ndlqHc81zfWgeORL27oUqd9n4H7Bu/1pOnz9N6aDSLOuzTK1JReB6jLf+ZIMGgMVBj8mv8/6BdVQr\nU40Poz/UyncvcCXa4v+wwYUlagsfnEOZEmXMCypA5Hp+xnfmvU9vISPD2MYxezaarVQIL9z5AnuT\n9lKnQh2zQxEREfEqVxvYwl8X8trG13i/6/u5ziEy7BmMjR3LxO8n4nA66HxDZxb3WszS/xgjTeIv\n5IzGjYNu3cz4PxApuNjYWGJjYz3+e487G+Pj42nQwFi7t3LlSiIjI/O9bs4EkAhkf2jeuxdKl4aR\nL9h4/mc4ff40AO8+8C5NQpuYGKH/cyWAkhKNH0pWPcT8g6MBWBC9gBrl1QriDe55VpnGy2lMk0eI\nCo8yMaLA4WpbAuD758nIgOuvh88+g+Bg8+LyR8NvH252CCIiIj7z9G1Ps2THEubHzSc9K51pnacB\nsGznMqZsmsKe/+3BarEyqs0oxt0zjiBrkPscDqBXLxg92qTgRQohb0FNYZdxeZwAGjVqFH/88Qc2\nm43w8HBmzZrl6U3JNSjnC+68eRAcbgWjy4P/a/F/PBzxsDmBBRD3hirnhSHQpIAThrceTucGnc0L\nLMC4nss1Dz9L607Veeu+KeYGFEBcLWDVsppzcn87goNhxQqoodyliIiI5NC6VmtWP7Sa6MXRLPp9\nEYt+z70iNLxSOPOj59OmThv3ZSEhxr8jImD+fFUWy7XB4wTQ0qVLvRmHXGNcH+BGjTLWkm87arQl\ntKzZkrc6vWViZIGjXj3j380jbWy7cNmtNW5lQocJpsUUiCIiYPdu+G5GD268sYfZ4QSUKmWqANC/\n7gjmV7QwcybcdpvJQYmIiMhVqX399sQOiGXgyoEcOnsIh9NB42qNGdpqKD0b9XTPw3OJioIvv4Q7\n7oCyZU0KWqSYWZxOp9Ond2Cx4OO7ED905gzExUHbttnZ9l+O/cJNVW+iVFApc4MLIHv3QrlqSdR8\nO4TSJUqz7fFtNKjSwOywAkpWFmRkQBmN/PG6A6cPEHcsjq43dcXptGRXtYmIiIiISKHzLUoAiVwD\nvv3rW0LLhmqukoiIiIiISIBQAkhEREREREREJMAVNt+ignoRERERERERkQCnBJCIiIiIiIiISIBT\nAkhEREREREREJMApASQiIiIiIiIiEuCUABIRERERERERCXBKAImIiIiIiIiIBDglgERERERERERE\nApwSQCIiIiIiIiIiAU4JIBERERERERGRAKcEkIiIiIiIiIhIgFMCSEREREREREQkwCkBJCIiIiIi\nIiIS4JQAEhEREREREREJcEoAiYiIiIiIiIgEOCWAREREREREREQCnBJAIiIiIiIiIiIBTgkgERER\nEREREZEApwSQiIiIiIiIiEiAUwJIRERERERERCTAKQEkIiIiIiIiIhLglAASEREREREREQlwSgCJ\niIiIiIiIiAQ4JYBERERERERERAJckRNAkydPxmq1kpSU5JE+uskAAAWlSURBVI14RERERERERETE\ny4qUAEpISGDt2rXUrVvXW/GIiJfExsaaHYLINUvHn4g5dOyJmEPHnoh/KFICaPjw4bz++uveikVE\nvEhvxCLm0fEnYg4deyLm0LEn4h88TgCtXLmSWrVqERER4c14RERERERERETEy4Iu98uoqCiOHTt2\n0eXjx49nwoQJfPPNN+7LnE6n96MTEREREREREZEiszg9yNz8/vvvtG/fnjJlygBw6NAhatasyZYt\nWwgJCcl13RtuuIG9e/d6J1oRERERERERESE8PJw///yzwNf3KAGUV7169di6dSuVK1cu6k2JiIiI\niIiIiIiXFXkNPIDFYvHGzYiIiIiIiIiIiA94pQJIRERERERERESuXl6pAMrPmjVraNiwIQ0aNGDS\npEm+vCuRa9qgQYMIDQ2lSZMm7suSkpKIiorixhtvpGPHjpw+fdrECEUCU0JCAvfccw+NGzfmlltu\nYdq0aYCOPxFfO3/+PK1ataJZs2Y0atSIUaNGATr2RIqL3W4nMjKSBx54ANCxJ1JcwsLCiIiIIDIy\nkpYtWwKFO/58lgCy2+0888wzrFmzhp07d7Jo0SJ27drlq7sTuaY9+uijrFmzJtdlEydOJCoqij17\n9tC+fXsmTpxoUnQigatEiRK89dZb7Nixg02bNjFjxgx27dql40/Ex0qVKsX69euJi4vj119/Zf36\n9WzcuFHHnkgxmTp1Ko0aNXKPAtGxJ1I8LBYLsbGxbN++nS1btgCFO/58lgDasmULN9xwA2FhYZQo\nUYK+ffuycuVKX92dyDXtrrvuolKlSrkuW7VqFQMGDABgwIABrFixwozQRAJa9erVadasGQDlypXj\n5ptv5vDhwzr+RIqBaxttRkYGdrudSpUq6dgTKQaHDh1i9erVDBkyBNc0ER17IsUn7xSfwhx/PksA\nHT58mNq1a7v/u1atWhw+fNhXdycieRw/fpzQ0FAAQkNDOX78uMkRiQS2/fv3s337dlq1aqXjT6QY\nOBwOmjVrRmhoqLsVU8eeiO8NGzaMN954A6s1+6Okjj2R4mGxWOjQoQMtWrTgvffeAwp3/AX5MjAR\nuTpYLBYdkyI+dO7cOXr27MnUqVMpX758rt/p+BPxDavVSlxcHGfOnKFTp06sX78+1+917Il43xdf\nfEFISAiRkZHExsZe8jo69kR85/vvv6dGjRqcPHmSqKgoGjZsmOv3Vzr+fFYBVLNmTRISEtz/nZCQ\nQK1atXx1dyKSR2hoKMeOHQPg6NGjhISEmByRSGDKzMykZ8+exMTEEB0dDej4EylOFSpUoEuXLmzd\nulXHnoiP/fDDD6xatYp69erRr18/vvvuO2JiYnTsiRSTGjVqAFCtWjW6d+/Oli1bCnX8+SwB1KJF\nC+Lj49m/fz8ZGRksXryYrl27+uruRCSPrl27smDBAgAWLFjg/mAqIt7jdDoZPHgwjRo14rnnnnNf\nruNPxLcSExPdW07S0tJYu3YtkZGROvZEfOy1114jISGBffv28cknn3Dvvffy0Ucf6dgTKQapqakk\nJycDkJKSwjfffEOTJk0KdfxZnHknCHnRV199xXPPPYfdbmfw4MHuFZ0i4l39+vVjw4YNJCYmEhoa\nyrhx4+jWrRt9+vTh4MGDhIWFsWTJEipWrGh2qCIBZePGjbRt25aIiAh3ue2ECRNo2bKljj8RH/rt\nt98YMGAADocDh8NBTEwMzz//PElJSTr2RIrJhg0bmDx5MqtWrdKxJ1IM9u3bR/fu3QHIysqif//+\njBo1qlDHn08TQCIiIiIiIiIiYj6ftYCJiIiIiIiIiMjVQQkgEREREREREZEApwSQiIiIiIiIiEiA\nUwJIRERERERERCTAKQEkIiIiIiIiIhLglAASEREREREREQlwSgCJiIiIiIiIiAQ4JYBERERERERE\nRALc/wOWY3sq9ccOfQAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x13514a90>"
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Merging the Streams\n---------------------\n\nWe create two `Stream` objects: one with Traces 1 & 2, and the other with Traces 1 & 3. The default behaviour of ObsPy is to shift the timeseries to the closest-by sample if the times are not aligned. Merge is done with the \u00b4fill_value\u00b4 = \"interpolate\" in order to get a continuous data series."
},
{
"cell_type": "code",
"collapsed": false,
"input": "bad = Stream(traces=[trace1.copy(),trace2.copy()])\ngood = Stream(traces=[trace1.copy(),trace3.copy()])\nprint bad\nprint good",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "2 Trace(s) in Stream:\n... | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:09.990000Z | 100.0 Hz, 1000 samples\n... | 1970-01-01T00:00:10.005000Z - 1970-01-01T00:00:19.995000Z | 100.0 Hz, 1000 samples\n2 Trace(s) in Stream:\n... | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:09.990000Z | 100.0 Hz, 1000 samples\n... | 1970-01-01T00:00:10.000000Z - 1970-01-01T00:00:19.990000Z | 100.0 Hz, 1000 samples\n"
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.figure()\nfor tr in bad:\n plt.plot(tr.times() + tr.stats.starttime.timestamp, tr.data, alpha=alpha)\nplt.xlim(9,11)\nplt.ylim(-1.1,1.1)\nbad.merge(fill_value=\"interpolate\")\nprint bad",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1 Trace(s) in Stream:\n... | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:20.000000Z | 100.0 Hz, 2001 samples\n"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qcRWlbCmy6+TTeVxXuo4HDkSM0uJRHGNPwddnARsecRVAAAvYKIhLuA0WsPV6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\nC+RKAAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x156d4f60>"
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.figure()\nfor tr in good:\n plt.plot(tr.times() + tr.stats.starttime.timestamp, tr.data, alpha=alpha)\nplt.xlim(9,11)\nplt.ylim(-1.1,1.1)\ngood.merge(fill_value=\"interpolate\")\nprint good",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1 Trace(s) in Stream:\n... | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:19.990000Z | 100.0 Hz, 2000 samples\n"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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QHwAWsFEQVwEEsICNgiiveQ/CzrFoiGPkMPj6PDvDIyjcVvPRJS6ruVWsZFco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\nrgAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x13514470>"
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Final Comparison\n-------------------\n\nAs a final comparison, we plot the two merged waveforms above one another in order to visually notice the slight change in shape induced by the default ObsPy time shift of Trace2, compared with the Master trace that doens't seem different from Trace 3:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.figure()\nplt.plot(master.times() + master.stats.starttime.timestamp, master.data,lw=12,alpha=1,c='k',label='Master')\nplt.plot(good[0].times() + good[0].stats.starttime.timestamp, good[0].data,lw=11,alpha=1,c='r',label='Phase Shift')\nplt.plot(bad[0].times() + bad[0].stats.starttime.timestamp, bad[0].data,lw=10,alpha=0.8,c='w',label='ObsPy Merge')\nplt.xlim(9,12)\nplt.axvline(10,c='k')\nplt.legend()\n",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": "<matplotlib.legend.Legend at 0x13541c18>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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StNHOTpkrYKiu7rbxfIbp7woLg9Gj23U89/r6bjlKS+K5OonnaiSeq+vIeG4v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\nkIx79NlrgMA2WwoGlRO3s3NzSk1Wveo/rz5XI1rc9wF0Pj8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miRtVwSaRTCbRFBQ1LTs7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\nB1f+Ag2Cqud/Crzn98Ojj2oWMbwEnEVZ7KSnp1/5izQIqp4/CMqu/nvvr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"text": "<matplotlib.figure.Figure at 0x13101278>"
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Cross-Correlation of the Traces:\n-----------------------------------\n\nTo evaluate the error induced by the bad merging, we compare the cross-correlation functions as obtained by the default ObsPy merge, our method vs the original Master :"
},
{
"cell_type": "code",
"collapsed": false,
"input": "left = 1200\nright = 1600\nccf = correlate(good[0].data[left:right],bad[0].data[left:right])\nccf2 = correlate(good[0].data[left:right], master.data[::decim][left:right])\nccf3 = correlate(bad[0].data[left:right], master.data[::decim][left:right])\n\nplt.figure()\nplot(ccf,c='g')\nplot(ccf2,c='r')\nplot(ccf3,c='b')\n\namax = np.argmax(ccf)\namax2 = np.argmax(ccf2)\namax3 = np.argmax(ccf3)\nplt.axvline(amax, label=\"Good vs Bad - Max at x=%.5f\" %( float(amax)/len(ccf)),c='g')\nplt.axvline(amax2, label=\"Good vs Real - Max at x=%.5f\" %( float(amax2)/len(ccf)),c='r')\nplt.axvline(amax3, label=\"Bad vs Real - Max at x=%.5f\" %( float(amax3)/len(ccf)),c='b')\nplt.legend()\nplt.xlim(amax-10,amax+10)\nplt.title('Cross Correlation functions centered on their maximum')\n\n",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 14,
"text": "<matplotlib.text.Text at 0x131145c0>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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EECVS41WZbffK2dmZxMRE8vPztX27d+8mJSUFZ2dn8vPzSUxMJCcnBz8/Py2P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\n6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Xtu3L9B0nhJGVd1HC2Kt8Dby9udoocPW1f31q123bIljB/vSnITHg6jR1vTeHg4ZM5s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\n1QvqLpoPAAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x135249b0>"
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The maxima of the three cross-correlation functions are placed equally at this sample rate. The symmetry of the curve can be obtained by comparing the left and right integrals of the curve:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "print \"CCF 1:\",\nleft = ccf[amax-10:amax+1]\nleft -= left[0]\nright = ccf[amax:amax+11]\nright -= right[-1]\nprint np.trapz(left), np.trapz(right)\n\nprint \"CCF 2:\",\nleft = ccf2[amax2-10:amax2+1]\nleft -= left[0]\nright = ccf2[amax2:amax2+11]\nright -= right[-1]\nprint np.trapz(left), np.trapz(right)\n\n\nprint \"CCF 3:\",\nleft = ccf3[amax3-10:amax3+1]\nleft -= left[0]\nright = ccf3[amax3:amax3+11]\nright -= right[-1]\nprint np.trapz(left), np.trapz(right)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "CCF 1: 2236.5528169 1846.41592237\nCCF 2: 2067.43172909 2067.43172909\nCCF 3: 1846.41592237 2236.5528169\n"
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": "CCF2, the \"Good vs Real\" shows a perfect symmetry of the CCF around the maximum !\n\n*quod erat demonstrandum*"
}
],
"metadata": {}
}
]
}
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