{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 4, Part II. Introduction to Digital Communications\n", "\n", "In this pre-lab you will be introduced to several modes of digital communications. We have written the solutions for you, however, you are more than welcome to download the empty notebook and implement the solutions yourself. \n", "\n", "## Analog Modulation\n", "In analog communications we encode continuous valued signals on top of a carrier frequency. Information can be encoded in the amplitude , for example: amplitude modulation (AM) or single sideband (SSB). It can also be encoded in the phase, for example: phase modulation or frequency modulation or encoded in both phase and amplitude. One of the issues with analog modulation is that you can never get the signal you are transmitting exactly recovered. It will always be contaminated by system imperfections, noise and other deviations. \n", "At the same time, analog communication offeres simple implementations as well as robustness because signals often degrade gracefully and information can still be extracted from them even with severe interferences and low signal to noise ratio.\n", "\n", "## Digital Modulation\n", "In contrast, in digital communications we transmit quantaized digital data. Because the information is digital, this form of communications offers the advantage of a perfect reproduction of the transmitted signal. Much like analog communications, digital data can be encoded in many different ways using phase, amplitude and frequency. It can be encoded using a binary stream in which '0's and '1's are transmitted in each time interval. It can also be encoded with M-ary symbols, in which higher order symbols (for example 4-ary 0,1,2,3) are transmitted in each time interval. \n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Import functions and libraries\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from numpy import r_, exp, cos, sin, pi, zeros, ones, hanning, sqrt, log, floor, reshape, mean\n", "from scipy import signal\n", "from numpy.fft import fft\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# function to compute average power spectrum\n", "def avgPS( x, N=256, fs=1):\n", " M = floor(len(x)/N)\n", " x_ = reshape(x[:M*N],(M,N)) * np.hamming(N)[None,:]\n", " X = np.fft.fftshift(np.fft.fft(x_,axis=1),axes=1)\n", " return r_[-N/2.0:N/2.0]/N*fs, mean(abs(X**2),axis=0)\n", "\n", "\n", "\n", "\n", "def sg_plot( t_range, f_range, y, dbf = 60) :\n", " eps = 1e-3\n", " \n", " # find maximum\n", " y_max = abs(y).max()\n", " \n", " # compute 20*log magnitude, scaled to the max\n", " y_log = 20.0 * np.log10( abs( y ) / y_max + eps )\n", " \n", " fig=plt.figure(figsize=(15,6))\n", " \n", " plt.imshow( np.flipud( 64.0*(y_log + dbf)/dbf ), extent= t_range + f_range ,cmap=plt.cm.gray, aspect='auto')\n", " plt.xlabel('Time, s')\n", " plt.ylabel('Frequency, Hz')\n", " plt.tight_layout()\n", "\n", "\n", "def myspectrogram_hann_ovlp(x, m, fs, fc,dbf = 60):\n", " # Plot the spectrogram of x.\n", " # First take the original signal x and split it into blocks of length m\n", " # This corresponds to using a rectangular window %\n", " \n", " \n", " isreal_bool = np.isreal(x).all()\n", " \n", " # pad x up to a multiple of m \n", " lx = len(x);\n", " nt = (lx + m - 1) // m\n", " x = np.append(x,zeros(-lx+nt*m))\n", " x = x.reshape((m/2,nt*2), order='F')\n", " x = np.concatenate((x,x),axis=0)\n", " x = x.reshape((m*nt*2,1),order='F')\n", " x = x[r_[m//2:len(x),ones(m//2)*(len(x)-1)].astype(int)].reshape((m,nt*2),order='F')\n", " \n", " \n", " xmw = x * hanning(m)[:,None];\n", " \n", " \n", " # frequency index\n", " t_range = [0.0, lx / fs]\n", " \n", " if isreal_bool:\n", " f_range = [ fc, fs / 2.0 + fc]\n", " xmf = np.fft.fft(xmw,len(xmw),axis=0)\n", " sg_plot(t_range, f_range, xmf[0:m//2,:],dbf=dbf)\n", " print 1\n", " else:\n", " f_range = [-fs / 2.0 + fc, fs / 2.0 + fc]\n", " xmf = np.fft.fftshift( np.fft.fft( xmw ,len(xmw),axis=0), axes=0 )\n", " sg_plot(t_range, f_range, xmf,dbf = dbf)\n", " \n", " return t_range, f_range, xmf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example of Different Digital Modulations:\n", "\n", "In the following sections we will consider signals with a symbol-rate of 300 bauds (300b/s) with a carrier frequency of 1800Hz and a sampling rate of 44100. Each bit will correspond to 44100/300 = 147 samples. The carrier frequency was chosen such that there are exactly 6 cycles in a bit -- this is useful for the phase-based modulation schemes where we would like to have a continuous phase. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [], "source": [ "fs = 44100 # sampling rate\n", "baud = 300 # symbol rate\n", "Nbits = 256 # number of bits\n", "Ns = fs/baud # samples per symbol\n", "N = Nbits * Ns # number of samples\n", "f0 = 1800 # center frequency\n", "\n", "Ndisp = 16 ; #number of bits to display\n", "np.random.seed(seed=1)\n", "bits = np.random.randn(Nbits,1) > 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Amplitude-Shift-Keying (ASK) or On-Off Keying (OOK) \n", "ASK/OOK encodes digital data in the amplitude of the carrier, $M(t)\\cos(2\\pi f_0t)$ where $M(t) = \\{0~or~1\\}$ for binary data. We saw such an example in the ADS-B mode S lab previously. M-ary digital data can also be encoded in the amplitude by dividing the amplitude into more segments. For example $M(r) = \\{0~or~0.33~or~0.66~or~1.0\\}$ for a 4-ary symbol. \n", "\n", "Here's an example of an OOK signal:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dm3mMWZGdQzira3LFpKH9JnOD9puQfKRYkT0LwLVKqW8rpdYAXAzg6T3ppOez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\nxNalr/Nkq+u59FNmZXplpX+FLlVb+Ib9zdlm0H4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate bits\n", "\n", "# create an impulsive signal\n", "message = np.zeros(N)\n", "message[::Ns] = bits.ravel()\n", "\n", "# convolve with a rect\n", "h = np.ones(Ns)\n", "message = signal.fftconvolve(message,h,mode='full')\n", "\n", "# modulate\n", "t = r_[0.0:len(message)]/fs\n", "OOK = message*sin(2*pi*f0*t)\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ndisp*Ns],OOK[:Ndisp*Ns])\n", "plt.xlabel('time [s]')\n", "plt.title('OOK signal of the sequence:'+ np.array2string(np.transpose(np.uint8(bits[:Ndisp]))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The approach of using OOK/ASK as above is not ideal. We can see this by plotting the spectrum\n", "\n", "* Compute the spectrum of the above ook signal using FFT, and plot its magnitude. \n", "* Comment on the spectrum. What is the issue that may arise if one would like to transmit at nearby frequencies?" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": 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3LrxQmjXLF4rv0kVauDDqKFM3frwnoeuv78l1TSakkrTddtLjj/uw3gULfA3D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\nD30Y7IoV5X9N5WdFRdJRR3m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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(f,OOK_f) = avgPS(OOK,512,fs)\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,abs(OOK_f)/max(abs(OOK_f)))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of an OOK signal ')\n", "plt.axis((0,4096,0,1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of using rectangular pulses, we can use shaped pulses which have more narrowband frequency response. For example, we could use sinc based pulses that would result in bandlimited spectrum. Of course it is not practical to use a sinc, since it is infinite in length. Instead we can use a truncated (windowed) sinc pulses with certain time bandwidth (TBW) product that would have a finite length as well as narrow bandness. While here we use a windowed sinc function as we learned in class, in the communications community the raised cosine filter is often used. A raised cosine is a tapered sinc function (with parameter $0\\leq \\beta \\leq 1$) in which the impulse response and spectrum looks like:\n", "
\n", "
\"Raised-cosine-impulse.svg\"style=\"width: \"Raised-cosine
\n", "\n", "


\n", "\n", "\n", "For more information about the raised cosine function look [here](http://www.commsys.isy.liu.se/TSKS04/lectures/3/MichaelZoltowski_SquareRootRaisedCosine.pdf)\n", "\n", "\n", "Now, going back to thinking in terms of the time-bandwidth product (TBW), the TBW of a rectangular pulse is 1, so for a symbol length of 1/300 seconds we get a bandwidth of 300 Hz (The the main lobe full width at half the maximum) but lots of ripple. We could use a TBW = 2 pulse (like a hamming window or higher order pulses. \n", "\n", "* Using the random bit sequence chosen above, generate a new sequence with either zero or discrete impulses spaced fs/baud samples apart. For example a sequence of 1010 would have an impulse at position 0, an impulse at position 294 and zeros elsewhere\n", "* Generate a TBW = 4 windowed sinc pulse with zero-crossing occuring every 147 samples. \n", "* Convolve the sinc with the impulse train to generate a sinc OOK/ASK signal. \n", "* modulate the result to 1800Hz\n", "* Plot the signal and its spectrum\n", "* Comment on the separation between on and off.... what happened? Comment on the spectrum." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": 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voV5Jqr+F7CHGr7ATHRY1cKD9JRFVeYbVibJu+MMfBsaPL/46BCFt9MxxUJKX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E3Ne0PA/Yt3mDzPwx8OOB7Kz5hqodHR10dHQMITRJGltuvx2WLYO///u6I9FI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\n/Fq2rBSjePDBMn6z5/yCBWs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "message = zeros(N)\n", "message[::Ns] = bits.ravel()\n", "\n", "h = signal.firwin(Ns*4,1.0/Ns) # Hamming window\n", "message = signal.fftconvolve(message,h,mode='full')\n", "t = r_[0.0:len(message)]/fs\n", "OOK_hamm = message*sin(2*pi*f0*t)\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ndisp*Ns],OOK_hamm[:Ndisp*Ns])\n", "plt.xlabel('time [s]')\n", "plt.title('TBW=4 shaped OOK/ASK signal of the sequence:'+ np.array2string(np.transpose(np.uint8(bits[:Ndisp]))))\n", "\n", "(f,OOK_hf) = avgPS(OOK_hamm,512,fs)\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,abs(OOK_hf)/max(abs(OOK_hf)))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of an pulse shaped OOK signal ')\n", "plt.axis((0,4096,0,1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Answer:**\n", "\n", "What we see is that the sidelobes are lower. At the same time, we see leakage between bits. This is called inter-symbol interference and can cause errors in the detection when there are certain delays that occur between the receiver and the transmitter. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Phase-shift-keying (PSK) \n", "PSK encodes digital data in the phase of the signal. For example, Binary PSK (BPSK) sends a stream of '0's and '1's by alternating the sign of the carrier in each bit period: $Real \\left \\{ e^{\\pi M(t)}\\cos(2\\pi f_0t) \\right \\}$, where $M(t)$ is a signal of $0~or~1$ corresponding to '0's and '1's. The RDS subcarrier in FM radio is BPSK encoded. Also, [PSK31](http://en.wikipedia.org/wiki/PSK31) is a very popular text-to-text ham radio protocol for HF that has 31b/s rate, which matches a typical keyboard typing rate. An M-ary symbol can be transmitted by MPSK in which $M(t)$ are broken to smaller intervals. For example in 4 PSK (QPSK) 0,1,2,4 are encoded in $M(t) = \\{0~or~0.5~or~1~or~1.5\\}$. It could also be encoded in a $45^\\circ$ rotated constellation $M(t) = \\{0.25~or~0.75~or~1.25~or~1.75\\}$ \n", "\n", "Here's an example of a BPSK signal:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Dwx52+u+P/dhyn//u303Xj4/T19/+9un6b/5muc+v/ur89Yc/vIzh+c+frr///fk2qT6/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "message = zeros(N)\n", "message[::Ns] = 2*bits.ravel() - 1\n", "\n", "# Convolve\n", "h = np.ones(Ns)\n", "message = signal.fftconvolve(message,h,mode='full')\n", "t = r_[0.0:len(message)]/fs\n", "BPSK = message*sin(2*pi*f0*t)\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ns*Ndisp],BPSK[:Ns*Ndisp])\n", "plt.xlabel('time [s]')\n", "plt.title('BPSK signal of the sequence:'+ np.array2string(np.transpose(np.uint8(bits[:Ndisp]))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of the advantages of PSK is that the envelope of the signal is constant. This means that we don't have to use linear amplifiers (also called class A or AB) in order to amplify the signal for transmission. Instead we can use the much more efficient non-linear amplifiers (class C or E). However, the problem is of course that the phase has a discontinuity. This will have an effect on the spectrum. \n", "\n", "* Compute the spectrum of the above BPSK signal. Comment on the spectrum" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": 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899NP8/ze/fbLw/0kdR+TJuXP9tix+WfXLDXzNbkkqZKaktPevXtXbPju0uSk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\nRN+IGBURT091/zYRMSIiRkb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = r_[0:len(BPSK)/2.0]/len(BPSK)*fs\n", "\n", "(f,BPSK_f) = avgPS(BPSK,512,fs)\n", "\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,abs(BPSK_f)/max(BPSK_f))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of a BPSK signal ')\n", "plt.axis((0,4096,0,1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the same \"trick\" as before and shape the pulses with a windowed sinc function. \n", "\n", "* Repeat the procedure for the case of BPSK similarly to the shaped ASK/OOK as before. However instead of a zero-one pulse train use a $\\pm 1$ train to get the changes in phase. \n", "* What did we win and what did we lose? Comment on the spectrum the symbol leakage and the envelope of the signal." ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": 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c0J3k6Ru33iLA5zEdGPCnTU2axOTo8xyXSZvSsvGtGYohT98YRkfD6WMhz7Em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\nsBkm+aiKjzzNrTWe9zyuGGmmE7oKZvjOWVYBCxW8yr8XQH1hn3vuAV7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7XxfTmy+8ULf5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\np3DXEdFZSqk7lFJ/AuBWAOfGt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BP9byZM3NzS/MNzU10dTU1IPQJKlxXXstHHts2VGonlSa8L7nPWVHIklSbVpa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\nHxETiu3HVN03Hfgx8LOUUpcGMGqreP6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "message = zeros(N)\n", "message[::Ns] = 2*bits.ravel() - 1\n", "\n", "h = signal.firwin(Ns*4,1.0/Ns)\n", "message = signal.fftconvolve(message,h,mode='full')\n", "t = r_[0.0:len(message)]/fs\n", "BPSK_s = message*sin(2*pi*f0*t)\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ndisp*Ns],BPSK_s[:Ndisp*Ns])\n", "plt.xlabel('time [s]')\n", "plt.title('TBW=4 shaped BPSK signal of the sequence:'+ np.array2string(np.transpose(np.uint8(bits[:Ndisp]))))\n", "\n", "\n", "(f,BPSK_sf) = avgPS(BPSK_s,512,fs)\n", "\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,abs(BPSK_sf)/max(BPSK_sf))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of a pulse shaped BPSK signal ')\n", "plt.axis((0,4096,0,1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Your answers:\n", "\n", "\n", "\n", "\n", "\n", "Here:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Quadrature-Amplitude-Modulation (QAM)\n", "QAM encodes M-arry digital data in both the amplitude and phase, i.e., $Real \\left \\{ M(t)\\cos(2\\pi f_0t) \\right \\}$ where M(t) have an amplitude and phase that divides the complex plane into M segments. \n", "QAM is heavily used in cable TV and modems. You can see constellations of QAM-16 to QAM-256 which break the complex plane to $4\\times 4$ and $16\\times 16$ grids. \n", " \n", "Here's an image of the constallation of QAM-16:\n", "
\"qam16\"
\n", "
Figure 1: QAM-16 Constallation
\n" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Cz9GQeNi2rXwx48DGQdKlANmpr5mDXGBB0qU0PKSQ5jU9k5vX015bsbNwYPEw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\nG1xGVvrMg+RMxzJn6EBNbdBA4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#code = { 2: -2+2j, 6: -1+2j, 14: 1+2j, 10: 2+2j,\n", "# 3: -2+1j, 7: -1-1j, 15: 1+1j, 11: 2+1j,\n", "# 1: -2-1j, 5: -1-1j, 13: 1-1j, 9: 2-1j,\n", "# 0: -2-2j, 4: -1-2j, 12: 1-2j, 8: 2-2j}\n", "Nbits = 16 # number of bits\n", "N = Nbits * Ns\n", "code = np.array((-2-2j, -2-1j,-2+2j,-2+1j,-1-2j,-1-1j,-1+2j,-1+1j,+2-2j,+2-1j,+2+2j,+2+1j,1-2j,+1-1j,1+2j,1+1j))/2\n", "np.random.seed(seed=1)\n", "bits = np.int16(np.random.rand(Nbits,1)*16) \n", "\n", "message = zeros(N, dtype='complex')\n", "message[::Ns] = code[bits].ravel()\n", "\n", "# Convolve\n", "h = np.ones(Ns)\n", "message = signal.fftconvolve(message,h,mode='full')\n", "t = r_[0.0:len(message)]/fs\n", "QAM = np.real(message*exp(1j*2*pi*f0*t))\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ns*Ndisp],QAM[:Ns*Ndisp])\n", "plt.xlabel('time [s]')\n", "plt.title(\"QAM=16 of the sequence:\"+ np.array2string(np.transpose(bits[:Ndisp])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QAM is a very efficient way to use the amplitude as well as the phase to encode M-arry symbols. \n", "\n", "* Compute the spectrum of the above QAM 16 signal. \n", "* Repeat the same for shaped TBW=4 pulses. \n", "* Is the bandwidth much different than the binary sequences? What is the bitrate improvement per bandwidth you get?" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": 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A22/P/r47dwJDhgCDBwNXXKEvxOrVA669NjSxBmrKFN12ZdUq9yfQRMFo3Vrb\nSLPbu7RPH2DSJK3iuen3oV49vcjVooXTkfjnxAng/feBRYu0Xfe++y68z5kzumxgyBB2aRARZcSk\nlIgu8Msvuh1JTIz/j0lJ0Xbfn38G/vgDqFRJE9SqVYF8+WwLNSAiwBNPaDvya685HQ2RvQ4d0iRo\n+XLgppsu/PiRI8Add+gQs3vvDXl42VqyRH9HN292//TvdeuAWrWARx7RCwBXXJH1fYcNA/r10213\n3HQRgIjIaVxTSkTnEdHqSaADTy66CIiK0va1HTuAZ58FOnfW9W1t2wIJCbaEG5B583RN7KuvOh0J\nkf2uvRZ4912gU6fMP/7FF8DLL7svIQV0wNoNN+gFLrcS0YtwUVFalR4yJPuEFNC1vidP6lZURETk\nH1ZKifKgRYu0dW7TJk00gxUfr629w4YBdeo4twcioInyq6/q9gxEecHRo9qCv2DB+dNsN24EKlTQ\nKt9//uNcfNkZPVqrinPmOB3JhRITgXfeAVasAMaOBe6+2//HTp2q607XrnVPFwkRkdNYKSWi8/Tt\nC7z3njUJKaAv1nr00BfB48cDTm05vHw5EBcHNGjgzPmJnHDVVbr3Z8eO59/epo1W99yakAJaxd26\nFVi50ulIzrdmjbbqXnIJsHRpYAkpAFSrptO/hwyxJz4iokjjmqTU4/HA69QrWaJsiOhbpNi/XwcB\nvfGG9ccuXFgT3qZNndlGpmtX3ZahQIHQn5vISR98AMTG6kUZAJg9WxOrDz90Nq6c5M+vF8i+/dbp\nSJQI8NNPul6+fXvdu7lgwcCPY4xu1+PxhOeWWkREVvJ6vfB4PNneh+27RNk4c0ZbQUuU0BazSNCp\nk+5X+NNP9p3jtdeAW27RJDFUNmwAKlbUqsvll4fuvERu0bOnDtcZM0an2rZvD9Ss6XRUOfv7b+C2\n2/R32Mmq7rFjwFtvaWI/dqwOkArWyy8Djz6qVWsioryO03eJcuHsWU1I8+XTrUX69HHPHn+5lZSk\nEzpjYoAyZew7z4EDul3CjBm6X2govPEGcOutwGefheZ8RG5z8qSuLa1RA1i9Widlh8v017feAooV\nA6KjnTn/ypV6MS0qSqu2l11mzXHXr9etYTZuBK6+2ppjEhGFKyalRAFKStIXKCkpesV84UKdqLhm\nDXDNNU5Hl3tjx2p7bSiGigwerFsnLFpk/6CPHTuAhx7SrSX4wo/ysu+/1700lywBypZ1Ohr/xcdr\ny+z27aE6wQ5JAAAgAElEQVRtvxcBfvwR6NBBk9G6da0/x5tvAkWLAt26WX9sIqJwwqSUKADnzgH1\n6wPHjwMTJqS9QGrRAtizR6dFhquKFfUFayha+kSAKlV0Gm6rVvaeq3lzXffVvbu95yFyu7Nn9aJT\nlSpORxK4Z57R596GDUNzvrNn9VwbNmjLc/rJxVbavRu4/369qFm8uD3nsFtiorYiN2vG7baIKPeY\nlBL5KTkZeP113edy4kTg0kvTPnbqlK7T6tABqF3bsRBzbc0anQi5fbsOFwmFLVuA8uWBxYu1tdYO\nBw4Ad92llZbrr7fnHERkv6lTtf1++XL7245FgMaNdT3rmDHnP9fb4ZNPgH/+AQYMsPc8dmnXTr8v\nO3boVOI+fYAiRZyOiojCDbeEIfJDSopOjd27Vzc9z/gi5bLLgKFDdZrl3r3OxBiMvn2Bt98OXUIK\naCLatq2uF7PrutO33+reqExIicLbs88CJ04A8+fbf67u3XXd7ciR9iekgD4P/v67VmXDzcaNmkwP\nGaJrb4sW1ZkEMTFOR0ZEkYSVUiJowvT22zqUIiYm++mtHo+u15oyJXyGiBw5otNwnZhuee6cVkub\nN9cqtJWOHtWpncuW6QAnIgpv33+v29mMG2ffOSZM0C10Fi8ObTvtV1/pOcePD905gyWiHTZVqgAt\nW6bdPnu2Dpd75hmd+lyokHMxElH4YKWUKBsimjCtXauJZk7bibRvr+294dSGNXiwTg52YruFfPl0\nr79PPtFWWyv166efFxNSosjQqJEmPNu323P8Zcu0c2PixNCv72zeXC9oLloU2vMG448/gJ07NYlP\n76mndElISoqulw3F8Dwiimy2V0qNMS8BeB5AIQA/i8jMTO7DSik5QkQHGC1YAMycCVx5pX+Pi4/X\noUGLF2sF0s2Sk3WAx6+/6n55TmnXTvcQtWpQ1MmTwM036wvYu++25phE5LxWrbQLpUcPa4+7e7c+\nB/bpo9vmOGHgQGD4cH3ecnunzalT+tw6YABQuXLW95s8WRP9114DvvzSuu10iCjyOFopFZGJItIM\nwDsAatl9PvLPnDm8simi63zmzAGmT/c/IQX0D3XbttqOmpxsW4iWmDZNt0kpX97ZODp0AFas0Cvv\nVhg4EHj8cSakRJHm/fe1uyMx0bpjJiYCL7ygFT+nElJA/2YcOKDPy2731Vc61Ci7hBQAqlfXqum+\nfbo119KloYmPiCKL35VSY8wgANUBHBCRMulufxZAb2iCO0hEMt2UwRjzNYDhIrIqk4+xUhpCZ87o\nAJqLLgLuuw/o2lWHFuQ1HTro4InZs3O392hyMvD008CLL56/1sZtqlXTK9hWr+fMjdmzdQuGdeuA\nwoVzf5yzZ3Ut6fjx4bUXIxH555VXdN/Sd98N/ljJybqdSdGiejHL6Qrlb78BHTvqRbqLXLqIats2\nTUhXrgRKlvT/cWPGaJtys2bA558Dl1xiX4xEFH6sqpQOBlA1w4EvAtDXd/s9AOoYY+70fayBMaaX\nMaaYMaYbgKmZJaQUer/8oknopk1A1ao6wOD113XdSF7RqZMmNLGxuUtIAeDii/Vr2a2bJllutGmT\njvF3yxY2Tz2lEzbbtg3uOL/+Ctx5JxNSokj14Yc6WTslJfhjtW0LHDsG/PCD8wkpAPzf/2mL68iR\nTkeStY8/1qUtgSSkAFCrlk41XrVKu3PWrrUnPiKKPH4npSIyH8CRDDeXA7BJRHaISBKAUQBe8t1/\nmIi0APAKgEoAXjXGNLMmbHutWqVXaHfvdjoS6yUlaRL1+edAgQLayrRpE1CiBPDgg0Dr1rqXWiTr\n3l2TmlmzgOuuC+5YN98MdOmi1b+kJGvis1K/fkCTJqHZ8sBfPXrokJHcbvuQnKw/w59+am1cROQe\n//2vDp0Lts114EB9vhk/3j1VO2P0Oeyzz7RzyW1iYoC4uNx3AF1/vS7T+OAD7Sbq1s39y1ysxuY/\nosAF2zhSHMCudO/v9t32PyLSR0TKisi7IvJTVgfyeDz/e/N6vUGGlXsjRmjl8NJLNUGLNL/+qoN5\nHnss7bbChbVyGBcHHD8O3HGHJm6nTjkXp12++UZfpPz5p3X7Wr75pk617dzZmuNZJTFR91V9+22n\nIznfVVfpoJGmTYHTpwN//IQJuml7xYrWx0ZE7mBMWrU0t2bN0mnpkyfrc4abVKwI3HUX0L+/05Gc\n78yZtK97MBczjdEtY5YtA2bM0IsMmzZZF6dbpaToa4zrrwfmznU6GiLneb3e83K87AQ0fdcYUwrA\npNQ1pcaYVwBU9Q0ygjGmPoByIvJBNofJ7LiOryk9dw5o00avqP72m65Xu+sufVEfKS9+k5PT/gg+\n9VTW90tI0CrUkiW67qVRI21VDXd9+wK9eulgoxIlrD323r1aaZ482T0tpT/+qAOcfvvN6Ugy9/LL\nwL33Al984f9jRHSQxhdf6NASIopcZ84ApUrpRcRAB5olJABPPgmMGpX93zsnrV6tS2g2bXLPPp/d\nugELF1o3kA7QRO377/V5Ozpa1wm7dS1tMDZs0CnEp0/rMpXp04G//nJHyziRW9g5fXcPgPQrDm70\n3RYwJyukhw7pBtDx8To1rkwZoGBB3RD6/fc1YY0EY8cC114LREVlf7877tBWp7Fj09afTpoU3u0o\n/ftr2+iff1qfkAJAsWLAd99pG68bKswimoS//77TkWStb19NnANZczRtml5cef55++IiIncoUEA7\nPb77LrDH/f23ToTt0sW9CSmg+3tWqaKvNdxg927g66+1o8hKF12kw48WLNBurSpVImuGxZkzegH/\niSeAV1/VpD46WpPT3393Ojoid0itmGYn0ErpTdBK6X2+9y8GkABdM7oPwBIAdURkfSCBOlkpXbFC\nKzZ162oLa/qKoIg+eb744oUbR4eb1A2ue/TQK3j+EgGmTNFBEUWKaFtv+tbfcPDzz/oHwuvVqcN2\nql1bE9Revew9T068Xr0avW6du6/SDhigrU4LF/pXjX/ySeCdd4A6deyPjYict3+/dvhs2eJfC+6Z\nM3qRuXx53dLE7VKn3MbH6zIQJ9WurXtaB9K9EqjkZH0d8v33WiF207yD3Jg3TycNly6tF1rTX/SO\nidFhUWvXAvnyORcjkZtYUik1xowAsBBAaWPMTmPMGyKSDKA5gBkA1gEYFWhCmsqJSumwYdo68/XX\nekU144tiY/QKbadOwMGDIQ3NchMn6lXnqlVzvm96xugV59WrdX1IrVqaxCck2BOn1YYP16FOsbH2\nJ6SA/qEdPVqTQif16aNVUjcnpIAOYbrsMv1jnpN587RNumZN++MiIne4/nq9MDxgQM73FdH2ySJF\ntA01HNx8M9CggfMzCWbPBhYtCn4yek4uvljP8eCDwKBB9p7LTkeOaDJapw7w5ZdaEc3YhfXss3qh\nYcgQZ2IkchPLK6V2CXWlNCkJaNUKmDpV19vde2/292/ZEjh6NHyfQEX0Suznn+so+mCcOqUJT48e\nmpxGR2tl0I1Gj9ax9rGxga9HCsbUqcB772kiH8xenLm1cyfwwAPAjh3uWaeUnY0bgQoVdCDGTTdl\nfb/nntNN75s2DVloROQCK1YAL70EbN0K5M+f9f26ddN9MufN08m94eLQIa0GL1migwhDLSlJk8Qv\nvtC/66GwdKmea/NmvWAeLkT0Z+zjj/XvUZcuwJVXZn3/RYv0QurGjXoBliivs3NNadg5eBCoXFnb\nRpYsyTkhBTTxionR+4ejadOAs2f1anOwLrtMB0IlJOgT8X336Vh7t22H4vXqBMHp00ObkAKaPFWu\nrG07TujfH6hfPzwSUkDbnlq21LVjWV2bWrlSk/yGDUMbGxE576GHtKKY3dC28eO1U2XSpPBKSAGd\n9fDBB3rh2Anff68Xl2vUCN05y5bV11/hVEXcsUM7xzp3Tvt5yy4hBYBHH9XP1Z9uIKI8T0QcfwMg\n0dHRMnv2bLHTkiUiJUqIfPaZyLlzgT12yBCRsmVFkpPtic0uKSkijz0mMmqUPcffsUPkv/8V6dLF\nnuPnxunTIqVLi0yc6FwMx46J3HyzyOTJoT3vqVMi110nsn59aM8brLNnRe6/X2TYsMw/XrOmSM+e\noY2JiNxj/Hj9W5aZpUtFihYVWb48tDFZ6fhxkeuvF1mxIrTn3bdP5JprnPmbsWCByE036fO/myUl\n6d+fa64R+fJLkTNnAnt8fLz+fB45Yk98Tti3T2TPHqejoHAye/ZsiY6OFk09M88H80z77i+/6L6j\nP/2Uu6uBKSm6z1bjxroOLlz8+acOhomPt29bl+3btT3YqdajjDp31tagiROdjWPuXF1vsno1ULRo\naM45bJi+zZgRmvNZadkyvQq9dq1WDlIlJOjv3tatwBVXOBcfETknOVnnAowZA5Qrl3b77t1ajerb\nN/jlKU5LrfROmxa6czZqpOsenRoKVbkyUK+ezqxwo+XLde3oVVfptPjbb8/dcZo0Aa67Duja1dr4\nnJCUpL9z27cD/foBr73mdEQUTrJr3434pPTsWW2jnDlTW3+CaeVcuRKoVg1Yvx64+mrrYrTT00/r\nH51Gjew9T/fuuv/nlCnODtfZulVfsOS0PjFUWrYEdu3S9a2h+LqUK6ctYOG6h2erVjptc/jwtNua\nNNG9Cjt0cC4uInJez566vvTXX/X9xES9YFWnji4rCXdnz+ra0gED9G+33RYs0IRi/XrnlnvMmaPP\n8Rs2uGtCbWKiLt0aPlxnaDRoENzf8F27dNbD2rXuncPhry+/1HXbnTrpBYXHHtNZI07M0KDwExZr\nSu2Yvrt/P1Cpkq4DWLIk+LWFDz6oVdZweXG8YIFeyapb1/5ztWihA3bGjbP/XFkR0b3QWrVyR0IK\n6JN3XJxu4G63JUt0YMZzz9l/Lrt07Kjbw8TE6Ps7d+pUQzfvt0pEodGkiQ6S27tXK6f16ul609at\nnY7MGpdcop0+bdvavy94crI+r/bo4ez8gYoVgeLFQ/M30l9Tp+p610OH9O93w4bBX1QuUUI77Tp2\ntCZGp8TFAb1764WTsmW1WFOggCbcf/3ldHTkZnl6+u7ixbqJcZMmmkReZFH6/fffmtzOnAmUKWPN\nMe3y3HPaztSsWWjOl3rVdd26nBf/2+G334D27YFVq/SPu1ssWwY8/7w+edt5hbRhQx08Fe4v0GJj\ngTff1CvKn32m38sePZyOiojc4P33tZXy9GltrZw+3V3P98FKSdHlMI0b6xR3uzpsfvhBE0Gv1/mt\nw2Jj9YJyXJx9y4z8ceCADkhctkxbdStXtvb4//yjg/0WLtR/w825c9q2+/bb+jc6vd9+09vffVdf\nh7mp6k3ukufadwcNAtq1AwYOtGbibEY//giMGKFtJ04/mWdl2TKt6oZ63HrTproZdp8+oTsnoK02\nd98NDB0KREWF9tz+6NhRR8NPnWrPz8zBg/pHbssW4JprrD9+qL3xhv4BnDJFL3LccIPTERGRGyQk\naNfSjTfqc2qRIk5HZL3Vq4HXX9e/pT16AE88Ye3xDx/Wv5exse64uC6i24J99JFz6xOTkoDy5bVy\n++WXQMGC9pyna1e9QD1mjD3Ht1OXLnoRY/r0zF/H7N2rS8VOnNC2ZzfMGCH3yTNJ6dmzepXL69Wr\nNnfeGXxsmUlO1raF1q11LYsb1agBPPWUjpkPpX/+Ae65R4c1PPJI6M7bpg2wb58O+XGjpCRdd9Gs\nmT2V6y5dNCEN1710M0rtSHj5Zb2iT0SUqkcP7QLK7dCZcJCSohe/27fXFuWuXa17TfPWW5rwfvut\nNcezQkyM/h1fvdq6zrZAfPWVdsDNmGFvseHkSf25nTgxtK+RghUXp68ply8HSpbM+n4pKfpz1aUL\n0KuXbk/n1uINOSMsktLo6GhERUUhKpdlLhGd3Jk/v1bL7F5wvXAhUKuWLs5320TQtWuBZ57RoT9O\nbNY8bJiuOVi8ODQtHKlPlnFxOkXQreLj9Sps79560cCqK7Hnzukefn/8oRWESLFunbY7h8tQMSIi\nq50+rZOFu3cHXnkF8HiA66/P/fGWLdNBeOvXaxu0W4jooL527fRiZCht2aJV0lDtINC/PzB2rFaq\nw8G5c3pRvWlT/y+qr16t80zKlNELy276WQu1lBQtZuXP73QkzvJ6vfB6vejYsWN4DDrKbUIK6JYv\n+/froJ1QTACrUEGHKHXubP+5AtWliw4eciIhBfTK2JVX6nh7u4noljcdO7o7IQW08jdihCbtxYvr\neue5c4MfaDFxok6njaSEFNCKOxNSIsrLLr1Uh/clJOgF8Hvu0cQ0MTHwY6Wk6JrcLl3clyQYo5Pj\nO3Wyf8hTeiJaOf7kk9C1mzZurEP8Zs4MzfmC9fXX+vPStKn/j7n/fr0AUrSo/n/uXPvic6szZ3Qb\nytKldcZNXhcVFZXjoCPXJKXB2LdPn1AGDQrt4uru3fWcCQmhO2dOEhKAWbN0wblTjNErY5066R5y\ndhoyRK8kv/WWveexSpUqugfdunXaivXuu7r3nsejle3c6NuX02mJiCJZkSKaHCxfrrMibr9d51sk\nJfl/jCFD9F+7t4jLrRde0CRx8uTQnXPoUF129PHHoTtn/vy6brVtW71Q4Gbx8boV08CBgbfhXnaZ\nzhdJ3cu0ffvAfl7D1fHj+rt6yy26e0D//lo5nj/f6cjczzXtu8HE8eqreiWiSxcLg/JTr166BiEm\nxh1986+/rknO5587HYnu8RUXB4wfb8/x//lHq4+TJ4fX2oz0RHTfvSFDgJEjNVFt1AioWdO/CcZx\ncZro7tgRWRMoiYgoaytW6BrM3buBbt2Al17K/jXI0aO6B2qo5z0Eavx4veC/eLH9r6kOHtSJ9TEx\num43lFLblVu1cm64U07OnQMef1wru8Fe+D9wQAcYHj6s+wxH4nrww4eB777TokylSnrR4YEH9GND\nhmjVdP58d+QKTgqLfUpza/x4XUPp1N6hzZtrG8Yffzhz/vS2bdMErXlzpyNR7drp98auq56ffqoX\nJNz8BzYnxgAPP6xPZHv2AC1b6oTeUqV0Pcb06boWISt9++ofCyakRER5x0MPafvnt9/q658nntBZ\nF1np0EETV7f/vaxRQ4cBzZhh/7k++ki3Ugt1Qgro3/5u3XTbM7dWD3v10pZxK4Yz/uc/Ok2/YUNd\n/jZoUGjbtO20a5f+LJUurcn3X3/pdkupCSmgy9qOHdOLQpQNEXH8DYBER0fL7NmzJRD//CNyww0i\n8+YF9DDLxcaK3HyzyMmTzsbRrJlI+/bOxpDRzJkipUqJJCZae9xFi/R7f+SItcd1i0OHRPr0EXnk\nEZFixURatxaJizv/PkeOiFx1lcjevc7ESEREzjt3TuSXX0RKlBB5+WWRhITzP756tci114ocPuxM\nfIEaOVKkQgWRlBT7zjFlisgtt4icOGHfOfxRpYpIv37OxpCZ+HiRokVFtm2z/thxcSJlyujParj8\nTGZm/XqR118XKVJEpFUrkT17sr//H3+I3HOP/r5Gkn/+Efnss5xfj8+ePVuio6NFU8/M88Gwbt9t\n0kSHAIRioE5OatbUNhCnKra7d+uUs40bdWG5m9Srp3vKde9uzfHOndO2l5Yt9diRLj5e170MG6b7\ndTZqpFsRDR+uLU4jRzodIREROe3UKe26+fpr3R2gQwfguut06nvdus7OmghEcrIOdOrXD3j6aeuP\nn5ioxx84UJe/OGnFCt05YtMm4PLLnY0lVWrb7uuv6yBJO5w+rd1uY8fqoNJKlew5jx2WLdMtmubN\n087E997zb79kEeC//wXefFO/tpFARKdlb9miHQ5jx+Y8dDMstoQJNI7YWE1K164NzbTdnOzcqd+I\n5cuBm24K/fk//FBbOHv0CP25c3LggCbss2bpv8H67jtdPD5rVt7qzU9O1s95yBBtg0lJ0bUwjz/u\ndGREROQWf/+tg3SGDtUX+5s2AUuXAhdf7HRk/hs6FPj5Z9133moffQQcOZI2+MlptWvra6P27Z2O\nRPXooa8tYmPt3zN2xgxN0AYNAqpVs/dcwRABZs/WZDQhQYsib74Z+IWEBQv0AlFCghbVwt333+vv\n6cKF+rr8/ff1a9SkSdavzyMuKT1xQn+B+/YFnnvOxsAC1LkzsHKlfYN9snLggA4wiI8Pbv8yO/Xv\nr38A5s8P7klu3z6tCM+dq59zXnXsmFZJK1fOW4k5ERH5Z+tWfYH41lvuX0ua0blzOvjv55+BJ5+0\n7riLF+va2nXrgGuuse64wdi8GXj0UU1UnI5pwwZdn7x0qe5/Hgp//KHDOVeutD8JDlRKim67160b\n8O+/utNHvXrBzfF48UUgKkq3bgxnq1Zpp8HChWmDqzZsSJv10q8fULDghY+LuKS0RQudmjZ8uI1B\n5cLp09oS8sMPwDPPhO68bdpo206fPqE7Z6BSUrSi98YbwS2ar1NHnyidmLRMREREoTFokA6MsWo/\nz6QkHSzYtq1Wq9zk3Xd1C5WePZ2LITlZE9IGDTSeUBEBHntMO/7q1AndebOTkqI5RrduWg1t104v\nZljRbRAXp23pmzb5t8uCGyUm6u9SdPSFv0snTuhSgVWrtEhXuvT5H4+opDT1KldcnPvWTgI6Wat1\na2DNmtBMRP37b71CsXo1UKKE/ecLxpo1Wtlbu1YnsQUqNlY3b163LvOrL0RERBQZzp7VF7SjRmkl\nMVhduug6wKlT3ddhtG8fcO+9Wi0sWdKZGHr21N0SZs0KfcXyzz+1oh8fr/u4Om3AAJ1s3bu3tsBb\n/fPy+us6a6VzZ2uPGyoNGwL58mknQ2ZE9Gv42Wfa4luzZtrHwiIpjY6ORlRUFKKiorK839mzOrq7\nfXv3XE3JSEQXrT/1lO4/ZbcOHYD9+3X/o3DQurXGO2xYYI87c0bbdr/+WjfYJiIiosj24496sX/K\nlOCOs3GjbkWyfLluueZG7dtrcprVC307JSRoN9uSJcAtt4T+/IAWLV57TYsPTjp2DLjjDk3QH37Y\nnnPs2KH5TFycDrAMJ0OHagV56dKc19SuWKEJafXqQPXqXixY4EXHjh3dn5T6E0fHjjr16o8/3HeV\nK71Nm7QVYc0aoFgx+87z77/Arbc6+yQSqBMntMV50KDApq117qzf+99/ty82IiIico8zZ4DbbgN+\n+y3362JTUrRd8v/+T4ccudW//2rnm9cL3H136M6bnKxTYevW1UE1Tlm8WNcjbtrk7BCgdu304sAv\nv9h7nhYtdNlfv372nsdKCQna4v3nn/4PLj1yRCvDBw4AY8YApUqFQaU0pzjWrdOFwStXasnb7T79\nVDfUDbQiGIgvv9QfkKFD7TuHHSZN0slla9b498SzdatuAePmK5xERERkvT59tKU0txelBw7UbrK/\n/nL/BOKePbXFOJQX4Hv10mE+s2c7P2ioRg0dbPXxx86cf9s2vfixdq29RSUAOHxYh3ktWqQXXtzu\n9GmgfHldb/zWW4E9VkQ7HXv2BA4cCPOkNDk5bc+kcNln68QJnQ47YoReVbBaYqJWR+fO1R/qcPPy\ny9qO6/Fkf7/Udugnn9SpZ0RERJR3nDqlXWExMcD99wf22H379DEzZwb+WCecPp22jrZCBfvPl9rW\nvHixfo2dFhenXXSbNwOFCoX+/LVqaQXw889Dc77OnfVzHjUqNOcLxnvvAYcOAaNH575bde5coGLF\nME9Ke/fW1g03XMUJxOjROo59+XLrr8717Kltu6NHW3vcUNm1S/d1XbBAe/ezMmFC2qjwUAyOIiIi\nInfp1UsrnWPHBva4mjW1JTacJvYPHqxvc+bYu1QtORmoWFETsQ8+sO88gWrQQL9nHTqE9rzz52sL\n84YNoRumeeKEfq6TJtm3ftUKEybonJwVK4CrrgruWGEx6CirOLZtA8qW1X1wMo4VdjsRXcdQowbQ\nvLl1Ty6pVw2nTdNqY7j65htdSB4bm/nXJjFR11UMG6ZPnERERJT3nDihr3tmzdK5FP7444+0pUKX\nXWZvfFZKTtbXdl99BTz/vH3n6d1bkw2v110Fny1btE00lPu2pqToOT/6SPchDaV+/bRde8aM0J7X\nX9u36xK6yZP132CFbVIqovt9Vq4cvq2b69YBVavq51KhgrYhP/448MADuR973bevtqJMnGhtrKF2\n7pxecGjZEqhf/8KPt26tC6PDbc0sERERWat7d93+bsSInO977Jgmr0OH6m4I4WbixLQuMTvWwaYO\n5HTresZ33tH23a++Cs35hg7VrUv++iv0CXpSki73698/sAGgoZCUpMvnXnnFuh1FwjYpHTxYE7DF\ni3U/nHAlohXfBQu04rtgQdpi6tRE9bHHgKuvzvlYZ8/qE8j48ZrQhbslS3Tf2XXrgCJF0m6Pi9M/\nJHFxudvTlIiIiCLH8eNaLZ03L/tlP4CufztzRocchSMRnUfy9tvazmqllBTtPnv1VeDDD609tlX2\n7NFqcSgGDp04oT9PY8fqa3EnjBqVtizPTbuLtG2rnQaTJ1uXrIdFUppxn9L9+/UHcsYMrSpGmqNH\n9QrVggX6tnSpTpZ9/PG0RPXWWy/84Rw4EBg3Tlt3I8X772uynbrXauoTZt26erWMiIiIqHNnrfIN\nGZL1fRYu1IRr3Tr/Lva71bx5QMOGusaxQAHrjvvtt/o6cs4cd7XtZtSmjV6I+OEHe8/j8Wir8MiR\n9p4nOykpWqhq107XQbvBjBlA48Zarb/22uCP5/V64fWG6T6lr76qa0jDaXF6MM6d07aU1CR1wQK9\nLTVBrVBBJ8fdd58+Gdsx0dcp//6ra0fHjNHP9ZdftMc+HMa3ExERUWik7s+e1bTYM2d0iGLHju55\ncR+M6tWBKlWsq2hu3gw8+qi+vrr9dmuOaZe//9YKpp2TgXfv1tfWK1Y4v+XgjBlapFm3LvfL+6yy\nfz/w0EPAr79a3/4eFpXS9HFMmKBXC1avdnYDXaft3Hl+krp+vT6ZeL1OR2a90aP1CmhsrD5BTJni\n7hgfOxUAABQPSURBVElkREREFHrR0dremVlrbseOuuPBxInuaoPMrbVrtShx9dXAFVf4/3b55Znf\nVquWDt90ah/QQH3xhVbGhw2z5/gNGgAlSwJffmnP8QMhojN0atUKfB9QKyUn6yycxx/X3yerhVVS\neuQIcO+92l/93/86HJjLHD+uP7SFCzsdifVEgGrVtE2lenVdS0xERESU3j//aJUvY3Vr/Xp93bhy\nJVCihHPxWe3YMV3ylZgY+NuJE+e///DDuv1IuHShHT+uc1RmzdLcwEpLlgD/93/auuvEnqiZWbpU\nY9q0KXTb0mT05ZdatZ01y555PmGVlDZpotXR7793OCgKua1bgddf1zHuwe6DRERERJHp00+1iJG6\n3jAlRaeE1qmjQ44ocvTqpetrf/vNumOK6AWMxo31zU1q1tTW2XbtQn/u+fN1+eSyZcCNN9pzjrBJ\nSmNj9YcjLi4yq4FEREREFJxDh4A779TJoMWLa3I6bJi+qHbz8B4K3KlTOmNm3DjdS9QKY8YAXbtq\n8uW2qvHGjdqyvXHj+btS2O2ff3Q99vffa8eiXcIiKU1MFNx3H9Cnj72bBRMRERFReGvdWif3t2mj\nuzR4vbo3KUWeAQN09khsbPDHOn1a9wUdPBjwbfjhOm+9pcW5Hj1Ccz4RbRu+9VatTNspLJLSjz8W\nHDwIDB/udDRERERE5Gb79+vk/gcf1B0J7BjKQu6QlKTf6x9/BCpVCu5YXbvqelIr24Gttnev7rax\nalVo1kd/9512GixYAFxyib3nCouk9D//EcTFAUWLOh0NEREREbndRx8B06fri3cr9/Ik9xk5UvdY\n/euv3E9W3r9fByYtWqQDlNysXTvg4EFg0CB7z7NihU7bXbTIvq130nMsKTXG3AngQwDXAPhTRH7M\n4n4yYoSgTh3bQiEiIiKiCHLmjE6nvfZapyMhu6WkaJt2587Aiy/m7hhNmwJXXgl8/bW1sdnh6FGd\nMj1njlaJ7XD8uE5k/uILoHZte86RkeOVUmOMATBERBpm8XFJSZGI2FOKiIiIiIisNWmSTl5etSrw\nAUWrVmlFMCEhfHZ46NFDK8MTJlh/bBHdp/Wyy3TNbqhkl5T6NaPMGDPIGHPAGLMmw+3PGmM2GGM2\nGmM+yeKxLwCYDGBq9ufwJxIiIiIiIsprqlfXPUVHjQrscSJAixZAdHT4JKQA8P77unfpokXWHldE\n24JXrdKWaLfwq1JqjHkCQCKAoSJSxnfbRQA2AqgEYC+ApQBqi8gGY0wDAA8C6CEi+3z3nywimQ4Z\nTr9PKRERERERUUZeL9CkCbBhA5A/v3+PmThRK6yrVwP58tkanuUGDdIhRLNnB1fAO3IE+PNPXYM9\nY4YmplOnhn5iddCVUhGZD+BIhpvLAdgkIjtEJAnAKAAv+e4/TERaAChtjPnWGPMjgCm5/gyIiIiI\niChPi4rSgTw//+zf/c+eBVq10q1Owi0hBYBGjYADB4Bp0wJ73Llz2vrr8ei+pyVLAgMH6vrUqVOB\n7dvdt4VSMN+e4gB2pXt/NzRR/R8RmQNgjj8H83g8//t/VFQUoty6eRARERERETniyy+BGjWAhg11\nTWR2vv9eBwZVrRqa2KyWL59+vu3a6edwUTblxO3btQo6fbpWRUuW1Md88YVum3TppSEL+3+8Xi+8\nXq9f9/V70JExphSASenad18BUFVEmvnerw+gnIh8EGjAbN8lIiIiIiJ/vPyyVgBbtcr6PocPA3fd\nBcydq/+GKxHgsceA5s2BevXSbk9M1Hbm1JbcI0eAZ57RtypVgBtucCzkLGXXvhtMpXQPgJLp3r/R\ndxsREREREZEtOnUCnnoKaNYMKFw48/t4PMBrr4V3QgroWtJu3YDGjYHSpYHYWE1Cly0DypbVauio\nUcD992dfSXW7QJJS43tLtRTAbb4K6j4AtQHkeqdRj8fDtl0iIiIiIsrWPfcA1arpWtF0KwD/Jz4e\nGD0aWL8+5KHZIipKk84GDTQJbdUKqFgRuOIKpyPzjz9tvP5O3x0BIArANQAOAIgWkcHGmGoAekMH\nJg0SkW65CZTtu0RERERE5K9t24BHHtG9R4sWPf9jzz2nLawff+xMbJS57Np3/V5TaidjjERHR7NS\nSkREREREfnnvPR129PXXabdNmwZ88AEQFwdccolzsVGa1Eppx44d3Z+UuiEOIiIiIiIKD/v2aSvv\nmjXAjTfqVij33w906QK89JLT0VFGQe9TSkRERERE5CY33AA0baqDjwDgp5+A//wHePFFZ+OiwLlm\nG1kOOiIiIiIiokC0aQPccYcmpx076mRak2ktjpxi2aAju7F9l4iIiIiIcqNzZ+Crr3QLmAEDnI6G\nshIWg47cEAcREREREYWX48eBWrWAwYOB6693OhrKSnZJKdt3iYiIiIgobBUqBMTEOB0FZYXtu0RE\nREREROQ4Tt8lIiIiIiIiV2JSSkRERERERI5xTVLq8Xhy7DUmIiIiIiKi8OH1euHxeLK9D9eUEhER\nERERka24ppSIiIiIiIhciUkpEREREREROcY1SSnXlBIREREREUUWriklIiIiIiIix3FNKRERERER\nEbkSk1IiIiIiIiJyDJNSIiIiIiIicgyTUiIiIiIiInKMa5JSTt8lIiIiIiKKLJy+S0RERERERI7j\n9F0iIiIiIiJyJSalRERERERE5BgmpUREREREROQYJqVERERERETkGCalRERERERE5BgmpURERERE\nROQYJqVERERERETkGNckpR6PB16v1+kwiIiIiIiIyCJerxcejyfb+xgRCU002QVhjLghDiIiIiIi\nIrKeMQYiYjL7mGsqpURERERERJT3MCklIiIiIiIixzApJSIiIiIiIscwKSUiIiIiIiLHMCklIiIi\nIiIixzApJSIiIiIiIscwKSUiIiIiIiLH2J6UGmMKGmOWGmOes/tcREREREREFF5CUSn9BMDoEJyH\niIiIiIiIwoxfSakxZpAx5oAxZk2G2581xmwwxmw0xnySyeMqA4gHcAiAsSRiIiIiIiIiihhGRHK+\nkzFPAEgEMFREyvhuuwjARgCVAOwFsBRAbRHZYIxpAOAhAIUB/AvgHgAnRaRGFscXf+IgIiIiIiKi\n8GOMgYhkWqjM588BRGS+MaZUhpvLAdgkIjt8JxkF4CUAG0RkGIBh6QJoCOBwboInIiIiIiKiyOVX\nUpqF4gB2pXt/NzRRvYCIDM3pYB6P53//j4qKQlRUVBChERERERERkVO8Xi+8Xq9f9/WrfRcAfJXS\nSenad18BUFVEmvnerw+gnIh8EGjAbN8lIiIiIiKKXNm17wYzfXcPgJLp3r/Rd1uueDwevzNpIiIi\nIiIicj+v13teV2xmAqmU3gStlN7ne/9iAAnQQUf7ACwBUEdE1gcaKCulREREREREkSvoSqkxZgSA\nhQBKG2N2GmPeEJFkAM0BzACwDsCo3CSkRERERERElHf5O323bha3xwCIsSIQj8fDAUdEREREREQR\nxJ+BR36379qJ7btERERERESRy65BR5bioCMiIiIiIqLIYumgIzuxUkpERERERBS5wqJSSkRERERE\nRHkPk1IiIiIiIiJyjGuSUq4pJSIiIiIiiixcU0pERERERESO45pSIiIiIiIiciXXJKVs3yUiIiIi\nIoosbN8lIiIiIiIix7F9l4iIiIiIiFyJSSkRERERERE5hkkpEREREREROcY1SSkHHREREREREUUW\nDjoiIiIiIiIix3HQEREREREREbkSk1IiIiIiIiL6//buPUausozj+PcHtSBeEDEiASkiJKIxVpRq\nUlDwAo3IJRKU4AWDt+AFo4mg+EeN/oMm4DVqlHIpKDcVLBGkKKhRU0ChgpRLFaEWoShRDBIF5fGP\neWuny+7a7WXPme73k5zse945c847++wzM8+8Z852xqJUkiRJktQZi1JJkiRJUmd6U5R69V1JkiRJ\n2rp49V1JkiRJUue8+q4kSZIkqZcsSiVJkiRJnbEo1Ubx+7+jx5iNHmM2eozZ6DFmo8eYjR5jNnqm\nO2YWpdooPrmMHmM2eozZ6DFmo8eYjR5jNnqM2eixKJUkSZIkzRgWpZIkSZKkzvTmX8J0PQZJkiRJ\n0pYz0b+E6UVRKkmSJEmamTx9V5IkSZLUGYtSSZIkSVJnOi1KkyxIcnuSO5Oc0uVYtL4kdyf5TZKb\nklzf+nZKsjTJHUmuSrLj0PafSLIyyW1JDulu5DNHkkVJ1iS5eahvyjFKsl+Sm1sefmG6H8dMMkHM\nFiZZneTGtiwYus2YdSzJ7kmuSXJrkluSnNT6zbWeGidmH2r95lpPJdkuyXXtPcctSRa2fvOspyaJ\nmXnWc0m2abFZ0tb7kWdV1cnCoCD+HTAHeBKwHHhBV+NxeUJ87gJ2GtP3WeDk1j4FOK21XwjcBMwC\n9mxxTdePYWtfgAOAucDNmxIj4Dpg/9a+Aji068e2tS4TxGwh8NFxtt3XmHW/AM8B5rb2U4E7gBeY\na/1dJomZudbjBdih/dwWWAbMM8/6vUwQM/Os5wvwEeB8YElb70WedTlTOg9YWVX3VNVjwIXAkR2O\nR+sLT5xJPxI4t7XPBY5q7SOAC6vq31V1N7CSQXy1BVXVz4G/jumeUoySPAd4WlXd0LZbPHQfbWYT\nxAwG+TbWkRizzlXV/VW1vLUfBm4Ddsdc660JYrZbu9lc66mqeqQ1t2PwJrgwz3ptgpiBedZbSXYH\n3gCcOdTdizzrsijdDfjj0Ppq1r1oqHsFXJ3khiTvbn27VNUaGLzoA89u/WNjeS/GsivPnmKMdmOQ\ne2uZh934YJLlSc4cOm3GmPVMkj0ZzHQvY+rPh8atA0Mxu651mWs91U4pvAm4H7i6veE1z3psgpiB\nedZnnwc+xroPEKAneeaFjjSR+VW1H4NPUz6Q5EDW/wNmnHX1jzHqv68Ce1XVXAYv7Kd3PB6NI8lT\nge8AH26zbz4f9tw4MTPXeqyqHq+qlzI4E2FekhdhnvXaODF7IeZZbyU5DFjTziQZ93+FNp3kWZdF\n6b3AHkPru7c+9UBV3dd+/hm4jMHpuGuS7ALQpu4faJvfCzx36O7GsjtTjZGx61hV/bnalzKAb7Lu\n1Hdj1hNJZjEobs6rqu+3bnOtx8aLmbk2Gqrq78BPgAWYZyNhOGbmWa/NB45IchdwAfCaJOcB9/ch\nz7osSm8A9k4yJ8ls4FhgSYfjUZNkh/YJM0meAhwC3MIgPu9smx0PrH1ztgQ4NsnsJM8D9gaun9ZB\nz1xh/U+7phSjdprGQ0nmJQnwjqH7aMtYL2btBWCtNwG/bW1j1h9nASuq6otDfeZavz0hZuZafyV5\n1trTPJM8GXg9g+8Cm2c9NUHMbjfP+quqTq2qPapqLwZ11zVV9XbgcnqQZ7M2dQcbq6r+k+SDwFIG\nxfGiqrqtq/FoPbsAlyYpBn8j36qqpUl+BVyc5ATgHuDNAFW1IsnFwArgMeD9Q5+SaQtJ8m3gIGDn\nJKsYXPHuNOCSKcboA8A5wPbAFVX1w+l8HDPJBDE7OMlc4HHgbuB9YMz6Isl84K3ALe27UwWcyuBq\nhVN9PjRu02CSmB1nrvXWrsC5SbZh8J7woqq6IskyzLO+mihmi82zkXMaPcizWDtIkiRJkrrihY4k\nSZIkSZ2xKJUkSZIkdcaiVJIkSZLUGYtSSZIkSVJnLEolSZIkSZ2xKJUkSZIkdcaiVJK01UtyUpIV\nSc7reiybS5KFSVYn+VRbPz7Jl8dsc22S/SbZx/lJHkzypi08XEmSJjSr6wFIkjQNTgReW1V/Gu5M\nsm1V/aejMW0OZ1TVGUPrU/rn41X1tiRnbeYxSZI0Jc6USpK2akm+BuwFXJnkw22GcXGSnwOLk2yT\n5HNJrkuyPMl7hu77lSS3JVma5AdrZxST/CHJM1v7ZUmube0dkixKsizJr5Mc3vqPT/LdJFcmuSPJ\nZ4eOsaBtuzzJ1Rm4M8nO7fYkWbl2fSN/B4cnuSnJjUluT/L74Zs3dr+SJG0OzpRKkrZqVXVikkOB\ng6rqr0kWAvsC86vq0VaE/q2qXpFkNvCLJEuB/YB9qmrfJLsCK4BFa3c79jDt5yeBH1fVu5LsCFyf\n5EfttpcAc4HHgDuSfAn4F/AN4ICqWpXkGVVV7TTjtwFfBF4HLK+qBzfg4R6b5IDWDvD89ju4HLgc\nIMlFwLUb8ruTJGk6WJRKkmaCsP6M4JKqerS1DwFenOSYtv50YB/gVcAFAFV1X5JrxuxvPIcAhyf5\nWFufDezR2j+uqocBktwKzAGeCfy0qla14/ytbXs2cBmDovSEtr4hLqyqk/43yPXHTJKTgUeq6usb\nuD9JkrY4i1JJ0kz0j6F2gA9V1dXDGyQ5bJL7/5t1X4HZfsy+jq6qlWP29UoGs6JrPc661+AnFLhV\ntTrJmiQHA/sDx00ylsn8b99JXgccDRy4kfuSJGmL8DulkqSZ7irg/UlmASTZJ8kOwM+At7TvnO4K\nHDx0nz8AL2vto8fsa3imcu7/OfYy4MAkc9r2Ow3dtgg4H7i4qqZ0AaOx2v6/AhwzNEMsSVIvOFMq\nSZoJJivqzgT2BG5MEuAB4KiqujTJa4BbgVXAL4fu82lgUZKHgJ8M9X8G+EKSmxl88HsXcMRE46mq\nvyR5L3Dp0LEPbdssAc4Cztnwhzn+cYDjGZwqfFk7zr1V9cZN2K8kSZtNNvHDV0mSZoQkZwOXV9X3\npul4LwdOr6pXT3D7QuDhqjp9E48zrY9LkqSxPH1XkqQNM22f4iY5BbgE+Pgkmz0MvCfJpzbhOOcz\nuKDTPzd2H5IkbSpnSiVJkiRJnXGmVJIkSZLUGYtSSZIkSVJnLEolSZIkSZ2xKJUkSZIkdcaiVJIk\nSZLUGYtSSZIkSVJn/gsVA8KS3QX80gAAAABJRU5ErkJggg==\n", 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bb1K15337mDgvWpSWPa9eHSe/VrJmP9sd3d3sDEiRrYUL5TxrQCNJEixhjTkR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\nbXx707DFhWLINcyqVnPO2Z5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ShE1GfnMKxUmR35T9YlffkNoKxOeXnJzfRYsmPuc3NT65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ueUGH8pw0SrPKc+p07Yc+w+WOP+tm3e8ZNyek9N+fSG1JaFubDn6jqpiUGpDpbcHKnn5Ao+hiJC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\noyTnayUxM+OvWSof1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UJKndGD4lSUOyZk0x5/PAA+t7HMOnJEntxfApSRqShQthjz1gyy3rexyv9SlJUnsxfEqS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\ngyMigJNqXqP6WK/Nyv/su70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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(f,QAM_f) = avgPS(QAM,512,fs)\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,QAM_f/max(QAM_f))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of a QAM16 signal ')\n", "plt.axis((0,4096,0,1))\n", "\n", "\n", "message = zeros(N,dtype='complex')\n", "message[::Ns] = code[bits].ravel()\n", "\n", "h = signal.firwin(Ns*4,1.0/Ns)\n", "message = signal.fftconvolve(message,h,mode='full')\n", "t = r_[0.0:len(message)]/fs\n", "QAM_s = np.real(message*exp(1j*2*pi*f0*t))\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ns*Ndisp],QAM_s[:Ns*Ndisp])\n", "plt.xlabel('time [s]')\n", "plt.title('TBW=4 shaped QAM16 signal of the sequence:'+ np.array2string(np.transpose(bits[:Ndisp])))\n", "\n", "(f,QAM_sf) = avgPS(QAM_s,512,fs)\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(f,QAM_sf/max(QAM_sf))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of a pulse shaped QAM16 signal ')\n", "plt.axis((0,4096,0,1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Frequency-Shift-Keying (FSK)\n", "FSK encodes digital data in the frequency of the carrier, i.e., $\\cos \\left(2\\pi (f_0 + M(t)\\Delta f)t\\right)$. For binary FSK (BFSK), $M(t) =\\{1~or~-1\\}$. In M-arry FSK (MFSK) the frequency band can be broken to more segments. Again, much like PSK, FSK has also a constant envelope which makes it ideal for use with efficient non-linear amplifiers. \n", "\n", "The choise of frequencies has a huge impact on our ability to demodulate the signal as well as the bandwidth of it. For example, we would like the frequencies to be orthogonal over a bit period so when detected using correlation we will ge the maximum difference between the results. We would also like the phase to be continuous for the sidelobes to decay rapidly and not interfere with nearby channels. \n", "\n", "For example, the choice of frequencies of 1200Hz and 2400Hz below for a bitrate of 300 baud results in 4 and 8 cycles per bit period respectively. The outcome is a smooth phase and orthogonal frequencies. " ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9J2dchpSnT7nrkER0c4BQcsbGrWF/n/cG0VQmTiIXFBBSRnYtEAZO+L23N4zH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(seed=1)\n", "Nbits = 256\n", "N = Nbits * Ns\n", "bits = np.random.randn(Nbits,1) > 0 \n", "M = np.tile(bits*2-1,(1,Ns))\n", "delta_f = 600\n", "\n", "\n", "# compute phase by integrating frequency\n", "ph = 2*pi*np.cumsum(f0 + M.ravel()*delta_f)/fs\n", "t = r_[0.0:N]/fs\n", "FSK = sin(ph)\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ns*Ndisp],FSK[:Ns*Ndisp])\n", "plt.xlabel('time [s]')\n", "plt.title('FSK signal of the sequence:'+ np.array2string(np.transpose(np.uint8(bits[:Ndisp]))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Compute the spectrum of the above FSK signal. Can you see the frequencies?\n" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "text/plain": [ "(0, 4096, 0, 1)" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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W0iOlZtYXOBWYF0LYv8j2psCjeILbN4TwQAnPfwh4PoTwWTFf00ipSBLGj/fO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\no8j9mUDjog8IIYwFxiazs7w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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(f,FSK_f) = avgPS(FSK,512,fs)\n", "\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,FSK_f/max(FSK_f))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of a FSK signal ')\n", "plt.axis((0,4096,0,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reason the frequencies are separated well is the low bit-rate.\n", "For the same choice of frequencies we can increase the baud (i.e. the bit-rate) and still get continuous phase and orthogonal frequencies. For example: with a 600 baud we will get 2 cycles for 1200Hz and 4 cycles for 2400Hz per bit period. We can continue further for 1200baud which results in 1cycle/2cycle for 1200Hz/2400Hz. \n", "\n", "Finally, the highest rate in which we can get orthogonal frequencies is 2400 baud. In that case, we will have 1/2 a cycle at 1200Hz and 1 cycle for 2400Hz. The phase will still be continuous and the frequencies orthogonal. This form of FSK modulation is also called Minimum-Shift-Keying (MSK) and is generalized to the case where the frequency difference is half the bit-rate.\n", "\n", "* What would be the choice of frequencies for a 300 baud MSK centered at 1800Hz?\n", "* Generate the MSK-300 modulation of the above signal.\n", "* Plot the signal as well as its spectrum and spectrogram For the spectrogram use 148 window (which is approximately the bit length). Comment on the bandwidth of the signal compared to the BFSK above." ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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aQheBh7Qjy+mCCyw4P4XuWo29I4vaBbojiySyLQljvIPd8sxxry6QtxZrPSMr\nHXkN93TPc5lSsmn4bfht+F1/veH3say2I2uUo1kmshz4c0e9AgC0BBYHB+VrQ3trRS3Ijrz1EDma\ndO7c8CySBAZTOJc4sOXWLjw71eOAYnlKfeKjSdxY6HMdvfKgVcSe46wSIIddwNI9w4FZDKLctVzi\nNcVx1tqkp/c4K3K0WFsXRLyfQhIvjWNiGnaBVPJrdcol7626kALMki6QI+RoAiolTwhmaD6P26ML\nw2/Db8Pv8vWG3+Pjt9H6aLaJbAlwQgWdAzOuul6qFodqMFcN4r4JiBhqeD5I+kC39EwLutvRe/Qm\nXjNuXtLxJa2jSQFUep/DWVtFN9hFSQdxVZZ71o/bteKAkPvu6NQVXbTa36sL6TM33PNOki6ko7BS\nsN9yzDa0B11IOy/IizskXUg+qja4KdlGjy44f8NhRq8u4jcAS2915p47jceS+vTu/iK6MPw2/Db8\nPt1m+D0dfhutj2aZyJbAKrx0gDtexAV5rdX1cD137Ely0Pv7x5VGyZiRai3y3EtvFTEEer0OKH5Z\nBPfafQQMpLGQCjO6G8RVMkOfKSu6JSCU7AKpyvYCIfc2S41dQA1d1FR00QCxpI8LF8o+SlpP7qUg\nZ87wlfu9vaFPbcAT2lFdaO7IzlkXUiIrFRU4XZw/Xz4aiiQz4a3O587Ju4DojuyYR4sNvw2/Db9P\ntxl+T4vfRuujWSaypcpTOOJScnJcVTZ2SLVAGKrjpWpxHGD2GLwW8MTAjOyacECIzgup6CLPvWgc\nBUJ3jKbSRU0faRdQsovWgB2pFpdsLsiV24XgEgmi5eqCq5AHP9QalJR0EeyoFChLvOemCw0fpaEL\n6WhxaT0ODgZfwyWynC644FVLF4EXsiOL7uz26MLw2/Db8Pu0rIbf0+nCaH20u20BclQKLALgcEcw\nWo/dcUAoAbAmEHLBTcwH2e2QwEA67hGCrd5jhPG8pONUvc4u/mbZknSBAGEpyJPuPylg5wJUJPE6\ne3Z47u3oaBgjla10tDOMffbssLMk6cI5PV1I36pDkifOT5XmHAKLMK/c+NLLiThdhPZSwI7ogtsF\nnKNd9OqiJIO0UyftyEq6iG02fKcznXuvj4qPH3N+PuzslnRxdDS0SW8dlnRh+G34bfh9kgy/p8Vv\no/XRonZkEYNHnrGpBVHJkdQAYQmIwzg1fKSKLnJkRqroSmCAAI8UgBPJOxQ18woAjwDPUnTBVXSR\nI6dcUB1iHAsHAAAgAElEQVRAlkueuF2rkm14P4Ajd/Rxqbrgdp4OD8tJQRxY1OoCqcy3JnVEN7Yu\npOSJw4zSLksPZmjp4vBwCFK5JBXRBZKoILow/Db8Nvw+SYbf0+rCaH00y0S2FXA4MIurwaXAQ6u6\nniPkuBAKBmjlCq2ycgCGzEs6ChT4SH3QufeuzzZ00Tt3pKLL7XRwAXsI9kt20boLeHQ0VGGl58qW\nZhdj7gJKukASr54d2RpdSIHmUnSB7CByx5ZbdSElsmvUheG34bfh92lZDb+nswuj9dEsE9neii7n\nLLjny86dG4w3fVZAAmjUkUlVzVowQCpXPc6lJlBCHJlU9ZXAEnFkcYWZ4zO1LnodPVrRbanKcrtW\nPbuAa7WLnoQR2R3a2zuuhqfX9uzIBv+ooQsp0FySLrgAUcIM5GVPLZixVrsw/Db8Nvw+fb3h93R2\nYbQ+mmUi21vR5ZwFV9ENBp229wJ06CMZIQIGtVXEnmptTdAqjSUBqlbVDjmatC1dSGNJupCCPM4u\npPv37Fm5ossd+cu1r90uendka/1Ujy4kuUI7qgvNnY4l6iKMLSWyrZhRaxdL0YXht+G34ffp+Rh+\nT2cXRuujWSayUoU8d5PGbyZsreiWKktSRTfmnXMWgb9kzDVggByD6h2rJmhFjntoVu1KfdBnfrah\nC6RyzslcqroiFV3kaFLJLrhrYyBM27dlF2NXdKX7Oayn9i6gNC6ni1iutfkoKRkdQxfheiSRbcGM\nbehiZyd/EiAeK6xzrg9iF4bfht+G36evN/y2HVmjdpptIitVZXNGt7MzGAMHdCWj5I5IIMESVy0O\nfaTqaA0YcMYcnBMCTnt7fW/+03pZBAq60rzQiu7SdMElIZxdBBm49T84wCq6kl21AOEYuuAqujW6\nkAKXnL2HAL/khxBdlPxUzbWlgKek53ReGgHrVHYhzTnYTe7IqXQtd/+GHcRWXXCYMZaPyn1iI+jC\nubI+wljOlWXi7CKds+G34Xepj+H3aRkMv/Xw22h9NMtEVqq65gwrVJ56XtyBVKZaqsWx7BpgIFUR\npSpcPBb3IH9c3eoBnrhq11PVrHkRBBKML0kXXEVXCvIQ22h9WQRnVxJAI/xDH62dBVQXyE4Ht2va\nowvuaDGyy8cF7Nzba2NdILs8nE+Y0i6kOYckLffMMXdkT0qADg6wF7hwwSu6w5hLQGt0sbMz/HD3\nJBEf8J45M/xe0gdnF/GcDL8Nvw2/T8/H8Hsa/DZaH80ykW2pnMZVK43AoTSuBIS5scMLKHZ2sEqj\n5lGg3uMwEp+aZ2x6HVB4RgLp0xuMa+pC4+gNWtGVditqExypGszZ1TaOJiF677ULFPxbddF6tBgJ\n2Lkd2RpdID5hCh+F+HUEM1rW8+Cg/SisZBtB7pCAcsd9z5wpHwkOuiCSd1uJyvoIYwU+pT5I8m74\nbfht+H2yzfB7Ovw2Wh/NMpFtqZz2VJ6k62uq66X2OFCQAKxkhOGj9MiuiVSJlcYKfdDjQqgj65EH\nOQpUA3I9ukjl6QkmkLE4sOoJ8kLwu7dXv9MRj80ldcjRJK17A+XTMxYK/rW6iK/PrWevj5MS2THs\ndGwf1bPzGe+E1K5neKZTsskxMSNOQEtrFCeyJX2kfFrH6tn5NPzO8zH8Lstj+G343TKW0fpolols\nC+CgQUlPRRcJeEq8w7GsHiceqpXcs0xHR8PPzk5/BRWt+qLPLWhV7RCZkbn3Aqqm80V0cfZs/vMS\nyO5OyTa0Ei+Od8me47lr6WKKnYWYTy349/ipXh/H3UPx3HvXR2uno0YXLTufnB7Ta3MBJLdDNwVm\nxH2QRJZLUjXGqllPw2/Db46P4fdpGQy/dfDbaH00y0S2JSjprbpyRzCmqOjGx5dKxhxkDHy4qjj3\nUo5YJjRgR0BlbAeEvCwiHqsHLOM+3DEozbEQXeSec0PuP6nq2rLTkV5fC7Lx3LV0se3jrD26kNrR\nY2JSe+lZSa17FbELbV20+GZ0vcbUhRS8EvE8JDxAMCMdq/doseG34XeODL8Nv+eA30bro1kmsi1B\nXk9QQnRcmWwx6GA8GkFJqNaWAo69veF39Hmn3t2OmqpvD1iiAbLmkUVpfRBw0gBmdJ017v3ae7sm\nYM/JxdlFmLumLqYIyMbSRdxe2pFtPSYW2hE/paELLRtEddGy21aTeHG6aC1YcLpAkqfY14+NGUEX\n3Fg9RRrDb3ys0M/w2/Db8Pt0H9uRvfFololsS2DRE5QQ8UZSA9BSEFAyVCRQQPnEwU1OHu+PZe45\nmhTz0QInZKcHAW8EeHrBSbOaLc0rBhXu3pd2HGqvRZOnUrDP2U3aR0MXUzxjE/po60K6XrqXEB+H\n+CkkUEDu516fULvr1LMjW3vtVLogwjGjh4+EGciOLGcXgYfht8zH8Nvwu9Ru+G3PyBqdplkmsr1B\nSW3liYgPLNCgBKmu9wQKtXxKaxGewQnPeLUCWODDPfMTy6RRYa4JfrX69FaztQJ2qaIrAWFLkCcF\n3EiluWQ38dy5e6NGF8iugcZYY+hC4t2jC1Q2zaBNwyegumgpDCxBF0TzwIw0werZkTX8Nvw2/D55\nveH3dPhttD6aZSLLBSWhqtVTXR+rostVxTQChdqKbk/1OO6H8Omtamo5u5oKam8QrVnRRarrXFU2\njCEBYS1YSfL3VIsR/nEfrYpub/V4LF1IvHt0kbZzfgoJJjTtAg3+ci+oQtez5d6fgy6IloMZyJwN\nv4/5GH63jWX4jfFF5L8R8dtofTTLRBapLrVWdHurXj3V4jA3ripMhFd9EUBtrR7H/ZAKMwo8YwMG\nCk6cPtOxeirDGsnB0dFQNQ8vEintDklBc0+Q13LvS7xj2ZFntNBdg7GPs3KBR48u0nbtXSvUT6G6\nmGqng3vxTZwcScmTpl9P8aT0JtJeXRDhmNG6C6iFGVJAbvht+G34bfidoynx22h9NMtEtqVCjlbA\nWyq+PZX70C4BRtpHq6LbWj0O3yfjji8h4B2P1wNyMRhoHTtCKswooI75fFG8zi2V07HvbQlkS9eG\nPpq60LgP0eqxti6k9pqgpMdPaa0PYhc7GwQK/ibXh0i2DSkJyelDAxOck3nfKJiBBuSG34bfht8n\nZTX8ng6/jdZHs0xkEbDSDErS61urXiVHhFZ00Yo31ycFQo0XU6DP8/Q4KamShgQBoR8Kur0OEan+\naQQB4f4i4iunyG5F6dpSQtETkEtyxXPX0gV6b2gcLdbWhXR9jy7iwFbyU2hQcnBQPu67u3t8z5bG\n0vBTNYFcz3qWrg3y9wSYyPogmCH56LExQ+veNvw+Hsvwu8zL8NvwuySPJbI3Fs0ykW2pytbsVrQ6\ni55qsTY4jR3coDJLY8W8SjIjb2FEZEa+5ZfK0+MQa5w4khwgQMgBDnLvl64l6gsCWwA6nruWLjRf\n3HH9Ot9HWxdSu4YuiGQ/hQRt4WUzWoF/r59C1qQ12ZzaboiwwH+umGH4PR9dSDIbfht+32j4bbQ+\nmmUi21KVTY0u3SkIRjB2RVcCJ85ZjVHRLcmDgC4ylkaV9fDw5NsTxwwCEHmCTNoVXeT4EqLT1opu\n7v6MeffuWtUCdDy+li567sO4z9mzWACkqYt4/LF0QSSPvbMzBJWtx32n9lNIkiKtp6QrqTDQmiRz\n7UvEjFacNPzGxzL8NvzO8Tb8xvDbaH00y0S2JygJz2G0OoveoESqrqMveWg9LpQ6Tcmxnj2br1wh\nYJkCM+LsNAC+pwodz63nuZcWPlyfM2fKukAruj33NhEPski1uKWiW1MV19JFb/W4JiAvXdu7nq3X\nEsl+KrxcSdqdmoOf0khGpeQEWc+e5GktmNGDk4bfp/kYfpflMfw+zdvwG8Nvo/XRLBNZjQp5a/U9\nZ5BIpbkU8MTtQTakyopU6Vsrui3AI8mMVixbgwAEdJG5p8eXJHAqjeX9wCvcFz1VRKliqXlv9wTk\nLRXdsItSAsLYdlp1kfIZUxfpWKX13Nk5vkdy7YiPG0MXRLp+SuNYY4+fiu+xlIf3J229tjAQ5srp\noiQ/d20s9xp1Yfht+C3JbPh9ut3wexr8NlofzTKR7d1x6KnKlq4tBUsI71pw4kCutjIsARhXBZTk\nQQA+HFHkgAcJyBDQrQkmwq5Tq2M9PJQ/Jo/MPcjNAUa8zlJFt+Xe1qro1gaQ8dx7dBGPpVFdl8Ab\nSXB632Y7li6IcD+ldfRxTD/F3WOxjUpBXk8A2aIrKdFtwYy56MLw2/Cb62P4fbrd8Hs6/DZaH80y\nkeUcZgmQaipT6Q2eVud6qlocwCNzI5q2ul5yUog8KPCEwL6nwlzbBwFLBJx6xkpBt+WZS0RmBEiR\nnaWeii4HoiWAjufWe0xMq6KLgLcE/nHQUrsmiK56dFGSK5470bQvmunxUzX3dmuQJ/GWMEOSey2Y\ngSTvht/HfAy/+XkZfh/LYfith99G66PZJrK14I9WpnJGGb5xVnLWUlAiGU9L5XyqZ2y4KrQkj1bV\nF6kwa1Wz0Sp0OL6kpQvkWI2U3ASZuXu7Z2dprGCfq47GAIaA5djP2Ei6SGXuWU8uIB878VqLn5J0\noVVUkPCGu/drA8hU9jXoIrQbfh/3Mfwuz8vw+3S74bcOfhutj2aZyI4dWIwVlCCgggAG+vY7rWdj\ntMBbA5hReXrejLgNXfRUEdOAvKfqWpvgaFR0wxGu0ltww/VTvl2yp6Ib+iAJY42u0oB8DF0Q4X4K\nCe627ac4XUjzQZJJZD17eHO6qEky5q6LIK/hN8/H8BuX2fDb8JuTp4TfRusjlUTWOfe5zrk3Oefe\n7Jx7Xqb905xz73XOvW7z860cv97AQnIWYwYlkiNDAUOLj1TVRAIpraNSSJW1p8LcEvyNrQsJdOPx\n0ECqtaIrJV6l3Q7k+agW3qEPUtENfaTKMFL1RcYqvawpnhfih2p2lmp8WK8uWoPftA93vxGN76fQ\nIG+s3YqS/DXJE5cUEi0HM7QKA4bf5bmkfAy/ZT6G34bfRuum3V4GzrkdInohEX0mEd1LRK91zr3S\ne/+mpOuveO+/EOHZUjntCSzQa8P3Fb0fKlRpO1eprqmO9lQjtSqoKPAgwVbtvDSC7J5AYSxd5PiE\nXbjSm1XDvJAgTwLC3V2ia9fKvFsruiWQQpKnGOSQKmtvn7jqm9pxPB+i4znt7OT7tCSMY1fXEV1M\n4adqfVDvTg+31kT1RYW4vTV54oI3JLlaGmZwdhHaDb+P+xh+l/sYfp9uN/zWwW+j9ZGGip9GRH/i\nvX+7936fiH6SiJ6R6ecyf8uS5BCkoEUy6NaKrvQmUrQi11Px1nb0yFi9AF/TZ+yK7rZ0gb6BskUX\nU+2EpG3p501qE7N4/hyASQFy3CeM431+rN1d7KgUkXwvtiSMGroIPiidI5ok9/gpxFbjscb2U9z9\n06OLuL0neeJ8zNowg7OLIIvh9/C74bc8luG33G74nZeHiB/PaF2kkch+CBG9I/r/X2z+ltInOef+\nwDn3n51zH8UxRCq6rWCW4x2OX0jXlmRDKmpagFFTRURfmCCBHOqgNV4ogawh+op/ROYxdVFbhZbA\ngki+/zi76Q32c9cinzcpyR3PH6nEcseFwhqVZIn5EPXZBprg1AYWki6Cn2oJyJHqesv9itjPmH4K\nxYRaXaTtJV0E2Vptck2Y0TNnw+/TfAy/ZXkMvw2/c/IQlfVhtD7anWic3yOiO733jzjnPo+IfoaI\nnlzq/H3fdzfdfz/R3XcTXbp0iS5dukREJ43y+vWT1/SAFQqiob22ooY46LRPDxjUOHG0Ci3NS6uq\nicqMrI/GWJq66HkbqHT/7e3x67KNxAtJnpCKbgxyYZzScV+iY33s7Z3mk9rGuXPlPrn1SD/1UTtn\nDV3E8u/unm6X5EL9FBJsbttPcYFUjy6kdhQzpKQPSUR6/dSFC8PvnC4uXsTHQnQhzdnw2/A7JcNv\nw2+icfHbaLt0+fJlunz5sjpfjUT2nUR0Z/T/x2/+9n7y3j8U/f7zzrkXOedu997fl2P4T/7J3fTS\nlw6JbEzhZkcCixqwagkgUbmIMIeIVhprKrqo85UcfU9FFwHm2oouGvxpvFBCSxe9H7eX7s8LF+Tr\nt5F4SXoNaxTWGXnu5eAgD3JatiH5EamKzc1ZQxehnQv2Jbl6gtY5+akwFrJenC6kRFZTF6Fdwgxp\nDeeGGbEuauds+I2PZfjN9zH8Pt1u+G00B4o3JomI7rnnHhW+GkeLX0tEH+6ce4Jz7iwRfRkRvSru\n4Jx7bPT704jIlZJYIrmC2FKVDUbQU10nqq8Wh3bEsdYABgIGPd9iS+XRqOhqjYWAk+bcNXSB8mkZ\nS6qKcgG7tPY9Fd2aynjpuGxOxqlsoyXglu5TDV0gvDm5evyUxv2azrXHVmvuz5r1ktp7eXNYhs59\nbpjRM2fD79N8DL9P9zH85mU0/Obx22idtNvLwHt/6Jx7LhG9mobE+Ee89290zj1naPY/RET/0Dn3\nDUS0T0RXiOgujidXQeytkPcEJaG9plpMhANGjaPvcb5IUIvIg1Z0a+aFVI/RCnMrWE6ti3heki5a\nA7GeqiwChC2807mFMXZ35T4SHw19lGwdTXTHqJCHSjanj5YEPMwdWecaGxvbTwV9ILridHF4WH6b\nbU/ylLs2fclKesw2zF0K2uaGGWG9Db+3rwvDb5yP4feNg99G66TuRJaIyHv/C0T0lORvPxj9/v1E\n9P2wUEz1p7W6VOMMakE2GGGPg6519JxjkcCptqqJOjGkmo3IgwAz4ug0XuAwti7QgAO9tyW7kYLA\nGt41AaQU/Erz34Y+OFsPPCRfURM0I7o4fx7j3RKU1AaSc/FTJd8rBfxhTcLnM+Lx4vZePed0wR1P\nT2Wfg12kurhypSyz4fc87MLw2/Db8Pt0H6P10Sy/sMTd7L1GiQCdprMg0qskoZWtwAc5LoQ6qFYn\n1iJPT5Adj9XzMo2pdJE6cGmdpaprTwBZWy1G7aLUfnQkv3GUSEcf6Vitbz1E10u6vkcXob01Se7x\nUy1B69h+qjfI49p3d7eji1p/NyddGH7PQxeG34bfht+n+xitj2aZyEoG3QOELYEF6ix6nWZNBR6t\narZWYmsrumgVrUceZCwkWF+iLmoCsfgbbOlbdlsD8h67kNrDcc5WfcQfpQ99SklJzVilOWskuj26\nkNpbEux07mhQsm3bqEk2pTVJ28P4c9bFnPxUGMvwe/u6MPzm+xh+35j4bbROmmUiy1X1UDDjKlM9\nAaTkiFqrkWjFshZ4kO++bRsMEHm0Ksxz0wUScNQASvqh8AASyLfiOKDssYsgN5cUlsZP+3EJR6Dc\nPON1DnxaKv6S3jUTnFbeLf4x9EHu15pAcio/NXaCs21dbNtP1ejC8Hs+uqiR2fD7dB/D72O514Df\nRuuk2SayR0cnK1PBuHd2MIPuCSxaq8VoFXHsIzMafVCQq62OInPvqejWyrxtXbQAfM39qwFWGhXd\n3NgpgOX0Edt96IOAHNJHWuuxwF8r8WpNklE/1RMkTumnpkhwtqGLmiB6brow/Jb7GH738ZmDLgy/\nj/+/BPw2WifNMpGNX74RqBasUoPSCni46xHjQr9HphFEItVaBFS0+nDPvWjNvSYQX5IuWgEHtYvc\ntXG7RlKXkzsGp5w+kGptyqcEunEfZK1LQS+n05qAvFUXYezWYL/XT0n3tJQ4oHxq7LBlzqhtbEMX\n8dyX4qfCWIbf29eF4beOPIbfvNxLw2+jddIsE1mi0zdz6lTGqkxxFducXClvpPqHONYxq5ot1VqN\namSpQob0qZVHUxdawUS6S5GT+fAw30eqjJbmrRnkSXZRG2AildgcyLWApVZFV7oPpeAH9UNIwNOq\nqx7bQAKF2gBZw08hCU5rArQNXSA+aAw/NRZmGH7PRxc1fAy/j/sYfpfl5njMCb+N1kmzTWQ5gx6z\nQt7qLHZ3cSc+NlhqVBFrwQCdVyvIaQXHWjIjABbzye1SpH3CJzniZ2RyY9UATs293VPRlcCnBOAx\ngJVATgKwHFhKoJuTFzkGpZkcteoC4c2tY4+fQoNfLXtG/JSWX4/b02+99iZesW9AdYH4X62kR1MX\nuT6G34bfht+G39vGb6N10mwT2fQm1AwgW68NctWAbGiPHYLGS1TmENxIDhrlUzsWIjMaTCBHpUog\nF/rs7Aw/KYAhTjwHBlwfpLLaCoScbWgkXki1NtUHCpYagJqrDHOgW6uLuL1HF5xsSLDf66dqE6wx\n/VSchLTqgigfQHLfekV1EQLg2DegiX7cZwmYwdmG4bfht+G34fe28dtonTTrRLbHoFuDvF5ngTj6\n2iAg12ds4EGrrBp9UJCrCRS0dBECWamKKFU0S30QPj2Ao2U3Z86cPlrVG5zm1kda51IgMIYuJNBt\nBX80ke3RlaSLVttA7LBlrF4/JVXxa+9PLV3kxkbWJ/X1S8cMw+/56EK7j+G33Mfw+3j+28Rvo3XS\nbBPZHoPOVddqgjypclUTnBLhgDFXcEKCLaTCjMwLDex6qr7xfRK+01aSuTQeWolFqohSnx7Aqb23\nS+25TwOgdlEau2UNp9RFT1AsXd+jC4l3iy7C/DX8QryOU/gpDb/O2U1v8pTqQ0sXc8QMjYDc8Lu/\nj+H38f8Nvw2/jdZNs01kuYpua2Cxu9tX1Sq1c7sC8djh+laQ0wKeMYLRXnDSCnwDnxAMcc+rlKq1\nOcfaUv1rceIloOPWBwXCUoCosWuVe34IsdkWkJtKF9JYPQmOti7iZzpbdIGMT3TaVks2zwVIKZ9W\nP+X9yeS9x69zx3+nTpKJ2hKjMZOV3kTE8Nvw2/Db8Hvb+G20TpptIpveqL2BBQdWtQFPqX0KkJOA\nBwk0W4BHA+S0gqTQh3vupQbkJAddqv5JANbqxLmxpHufCyCl9egB2TNnyrsoJbm3rQsEmDV1EbeP\noYv4mc5aXSDj1/TRSIglP3V0dPwMao8ugpzaiVcJMxBdIL4V9b/bwAzDb56P4bfhd8zD8Pv4/2Pi\nt9E6adaJbI1Bo+254yi1vLljTxLI9QDYlMENKrMElprV2jgYkd4OWOKFVhGlCiHqoGv7tAR5HOD0\nXCtdr2GTU+lCcyyN9ZybLkKfmoB0235qynu7d+wavEHmHvrMRRfSvAy/Db8Nvw2/t43fRuukRSWy\nsWNuBUKitqoXMjZS1eypoNb2QYPRHpm1AR6RuSQT4shQcEqrf63V2rhPyfmmfDgnLgFKD1j1VnRr\neU+pC2Sdc5VhTV2EdiSRnVoXYf61fqHFT4Ujg+EzCa1+ShMTuPWs1UW6BrW8kbmnY8wBMyQ/ZPht\n+B3I8BtrN/wu92nBb6N10mISWanq11O50qhMheBUA5x6+hwcEO3tDb/3VHQR0K0NtsIzHtz32krO\nJ+ekJJBDgCfXJwe6Up/SWEEXgQ8HYojMUtBcG+RxdiFd38t7m7poHatHF2GMM2eOd5a03iLZq4uw\nyyUll7V+gVtn5475tPgpSReaQV7vLksN7zA3DTzYFmYYfrf1MfyW+xh+l9sNv/mxjNZJi0lkpwws\naq6NP8JccuIoYNRWfXtATqtam65LCnLx3JHnXkpvIsw5KaT6JwEPUmlEnDhaIWyt6G47yMu1a/De\nli6Qqq/GepX8VHi2U2s9tfQsJZdSMB5ewBR/lL7FLkI/aUd2rCBPCs7H1FUYH/H1tbvjY2LGXAoD\nht+G34bfcvuNiN9G66TFJrJjGXRL5b4W5Mba6UDlGYNPLjAP85IcWS1YBplaKnKpPK3HWNKxpHmV\n+NSuz7YSnJz80rVSwDWWLtCqb4s8PbqQ2ueuC4TP0dHJhLjVLtJ+2nYhtffoQroeTQo1ktRtYYbh\n9+k+ht/H/zf8Ptlu+M3z0cJvo3XSIhNZjaoXZ9A11WLpWiKsytoSuLSOVVvt544UIZW0WjBoBZ6W\n6h8KYIiD1hqLCwK2CYSp/D3XpvMq9WnRBTJWD1hOEZDPURfBB8S7rWPZRdqvxS7SXampdFHLe02Y\nMUayKbWbLvJ9DL+P5TH8Nvw2Wi8tMpGtBSupfcxrQx+tqi9SZZVALq0QSmBZqrKiTkoDnFDQlfqg\nwNNSGebuG1Tm3nu7tuoqtafPTWqD7Jx1UQLLVl1I12/Lh4X22mB0TF2k42nbhXS9dgBZixmIr58b\nZoyVbNbyNvw2/Db8Hsjwm4xuAFpsIjtlYIFei1aqNaq+PX1QQB2rkjZWED2mzEj1ryUIqJ07cn/2\nVF3HspvWIKBFF60BWU6nmrqIn8fLXb8EXSA2WMun1U/Futj2y7O0MaM2WZkbZhh+n+5j+M3LY/ht\n+F3qo4XfRuukGzaR1XIWKYAdHvIvTECAh6voSmPFfUrfa0v7SG8iDOO1OHG0oqtV9dUGHlSenipi\nzVhTBnnavKfShZS0lMZCq8ca6yW1z1EXrclui12kx5glvY/98qyeXZZa3unctDADSdQ0kznD75Nk\n+N3Px/Abv1ab9xrw22idtMhEVnI6klGm12s5A+fKwFNTZUU+GL6zcwxipT6l8eI+NS9nQPpoBMit\nVV9U5lpgbq0ijgGoU97bUnsv7zF1oQWoY+kid/3cdYHe87U+oSdIQtez1q408aZWV+n8EcwoBW1I\ngoWMhSZzU6yn4bfhdyDD73ljxtzw22idtJhEVgKTbRm0FEwF2TkQT/uEfq1VTQ0w0HT0tWOhTqrF\nabYCvNSnB+SQ9UEBJb1+7kA4hi5a9V6bqPXoInf9EnShtYOj5aNq1rNGl9u0m3T+CGYgfbgkDOGD\nJLuleRl+G34bfht+bxu/jdZJi0lke4wud0xtSiCMDSy0c8eXiKatXE0ZkLb20QLmlj5j66Jm52ls\nsIrlC88cTvWyiDEDstagbSxdSO09iRfyvKiW35CSyzF9VO16ThnkaSSyUgIaryOy28rtpCI7jlIy\nN9Z6Gn6f7GP4XdfH8FuH9xrw22iddEMksqEt/rbhlEAYA0Z4los7vhT4tASSWlXEVpDTqEJPKY8m\nHwNsX8YAACAASURBVI3qseTEtYEwrQan14Zjci28kbGn1GlLn7F0kWvndFHDu+V5Ua2Kt5a+WoOb\ntSSySAKK7JKmCWhPkiqNxdmG4bfht+G34fe28dtonXRDJbLb4E2kB3KalStJ5rGqZCgwa62hBp/W\nuWsE46k8Ywbk6XohiVcvEI6hC03bGUsXUnttZV+yaS1dIGuoYTuIj+qd85wT2fQ+a01SWxJQaSxU\nZsPv03IYfuPzMvw2/C71adWF0TppsYls7iUJ2wJCyXhaDFWzKiU5IHRnpWWsFmBGd4O01rmlz5S6\nqL0/Y9sYO4DkKs1ctTi9npv7GLsG29ZF7vox/ZCGLtBdDC0/VqOL3LzSObdiRmsiW1pvSRdpHyRJ\n7dltRftwY9UeYzT8Nvw2/M63G36Ph99G66RFJrLpsbm0fWog5HgTtTvNVideWwFDZW51UgigalS8\nNau+LcA8ZnUdvT/H+gSJ1N4i95i60AjIxtRF7vpt6kpznWv9RquPqplzD2bU6qL32bR0/j0JKJLs\npvIgu7a59UCPMRp+830Mv+v4GH7n2w2/8z7RaH20yER2TIOuraghQIgaoUblCnEKLSCHOo6WeY3l\nyHr4TFVFrA1ueu79XrtJZesFwhtZF1K7xJvTRStvLV2MFYzW7shq6Up6eZa2LrzHkktk1zZexxyf\no6Pj5z4DHyRp3pYupHbD7zqZDb915TH8PtlnbrowWidZIrtpL1XPe3kTYVVNxCm0gBzCR0tmtFrb\nIjMa/GpUmFFwqt2dQoMJTp5tAqEm7zD3sXTRstMxpS6k9hJvZJevhTe681KbXLbaBeKjpD5a937p\n5Vlj6eLo6OTuJrLbWkp24z6teJEba1u6KLUbfvfLbPh9us+cMMPw++RcbEfWKNCiEtmxAsijo/Gc\nBVG7o2/p0wJOrYA6pcwtDhF1dnObF6eLWqCcOxCOpYuWdZ5SF1J7KcEZS1etu0Vj7eC0+iit+1MK\n4MfWheTH0vnn1jn9bE2rLlKZWnVh+G34XcPH8NvwO5ZFQxdG66TFJLKIMwjt6evxxzTo2oocUR84\njeHoS300gCfXZ8x5jVWFlsbSkrm0hiigcPd27fdFxwbCG1kXUvs2gpa56QJJrOe4ntpFhZwukCRV\nSxdpvxZdGH4bfht+G35vWxdG66TFJLLbDvJaeRPp7Xa0VqWmqDRyfZBdHIlPqzytAbLG+iC6QOeu\ncX/Wfl90bCDcti5a7uel+iENXdSuD9dHy0fNcT015EITDO74sZaPSvstSRe9vIkMvw2/cXkMv0/z\nmBN+G62TLJEdmXfoM5UTbwGn1uoW6uhbqr4aANbqWKfUBSrzUgPymoBdSxdaAdCcdDEFb63ArtaW\nW33UXNezVy50d28qH5XKtCRd9PIOfeakD8PvkzIbfutfi7YvDb+N1kmLTGTndMQi5a0FPGglFgko\nWsFyrHkhfDSC6DnoQmN9Yj5LBcIpddETANXsAi4pIK9Nnnp0IQUlLYHvknYBa65FfC+ii7BTk2Ji\nzq+WcDPwCceWA+WOMffowvCb72P4rS+z4bfht9F6aZGJ7JyOWGgGZWPsZPRUERHgqQVUdF5a4K2h\nC015etcnvf+8H+/FMxp2w+3ibFMXiDySXSwtkeXk1rSvliq9ho9K5xXLMrcAkrMLJGhL+ziXn3+a\npKbPn6b6yvFJxwqJaPocK6cLw2/Db8Nvw+9t47fROmm2iSwHdETD76UXQswpgAx9NIwZBbAW4JEA\ntQcsW4BZK7DVAHitsXqC1tL9F74DGZ6V4+wid/2YdsMBeGnuGrpAK/At92EsD7KzNNVLayTeGrrQ\n8j+aQX/Nesa6CL+P8QmdXl20BPS5fuk6h/HSPimftE9pLClpNvzm+Rh+9/cx/Db8LvXJyWy0Tppt\nIisZZW1FF60WjwGECKjkAEOrAtYCKlpVMnQsjV0clM+U8mgFHOj9JwWQuTeClnatxgwg0bm36AK5\nn1ttMJ6TtLOkqYv0+jGCFi1dTLkji865RRdTBJClYkitLojk5DLXJ5fsIn2khNjw2/C7RR7Db8Pv\nMfHbaJ0060RWK7CordyPAYQtADZWNbK1ytpSJdNyZOjcxwomWquItQ66tqJbG0BytrENIBxLF5ws\npT6Sn8jx0UxwkAr4mIlsS2An3fM9dlGr07GSzTF554oh6dx3doZ+3FFeotNrjfTJJbupPpCkOTdn\nw+/6Pobfch/D7/z4ht+yLRutk2adyHLgPlZgITnzFiBEQAUJElsBowV4WquaEp+xZa5dnzF1MUbA\n0WMXUrt0LRe8tgDhWLrQvA9rdwF7fEXNeiKJRC1vjfWZsko/l0Q2lb8m8cq1o8ll2qclSS0lu7Xy\n1NhFrt3wOz+W4Tc/luG34XdJnhwfo3XSYhLZqYIWKWBqAUJ0t2MqwGjhg1TSUEc21txb5yXJo1VF\n7FmfKQJy5NpS8Fr7JtKaudfqAkl6Wiu6ubHG8kNxW+6lIDWJxJS6kPggdtFi79tKZHt0UWpHksu0\nz5hJqsSnRhdSu+G3Ph/D7zZ5DL/zvGvmPif8NlonWSKbuTb9/EAvEKKGOgY4aQGPFsihFbmWuWuB\nd+vcx9TFXICw1F77JtLQPtV9iPKpvVenSmRzLwVp5a0V1LauoZZdTKWLqXn3JKlxn1ySmvbRSppr\ndCG1G37LfAy/y/My/K6/9kbBb6N1kiWydNqgc88jlXhLAO69nqOXjNn7/Fy1AExyLqjMYzrEFmc3\nhi5yfFoDoCUAYS1vovF00RpsoffqNhLZOegCtfda/9MT3MxxPTUS2VwCivSRklQpAUX75HZk57Ce\nht/HfQy/6+Zl+L1+/DZaJ1kiOzLvsJOys3Oyj8ZuUGrM6a5Nrk+QWaNiqbVD0xooIMAs8dEEy7Hk\nmeu9rQGEY+iiJ5BCQHeK9VyyLloC6NbgeI7rqcEbSUCRndTaBLTUB9khnvN6Gn4bfm9Lnrne23PC\njKnw22idZIms0K7xvUEp4Mj1S40wfUYu1wcJOIjaq1sagW3JIWpVdJFEZIxKdWuggIJl6LMmIBxT\nFxqBS0nmNSayrWsoJZc9ATSiL27OS7UbNAHN4YqEB1q7tnPdkU3bDb95Pobf5T6G3+vDb6N1kiWy\nQnst0CFBSeoQwzM9XNU3yBFXa1sCjtBPA+RQMKh1ZCWw1ALvliBampcGyHF8tgFWR0en78nWIBDR\nqZYu0HtsjHtVS1fpyzc09NyrixZ7H9suxtKFFMD36lni3ZJc5vpoJKkInxpdSO2G38dk+M3zMfw2\n/K7hY7ROskRWaO91NLkgIDWwUh8JUJEqfY+DrnVSaJ8WkEOclJbTbB1Ly9HnAH4bQKhx75d4h/Yx\ndNEDqLX36ljrmb58Y6m6aLWLVh811b3dmySPhRm1iRGCGbk+Ej7NxQ8Zfpf5GH7LMht+59tC+9Lw\n22idpJLIOuc+1zn3Jufcm51zzyv0+T7n3J845/7AOfdxEs+c0cUGsbODv9Bhm0CIBAGlPkgw0VrR\nRRxHS0UX6dNSbWvpoyUzOpaGPKWxuHsbtYvS9dsA2ZzsmrpA+LTeq6i99+gibZ+DLloT0LEC8Zo5\na+oibR8zgAy0TczI9ckluzU4aPht+G34bfjdw6flXjVaJ3Unss65HSJ6IRF9DhE9lYi+3Dn3kUmf\nzyOiJ3nvP4KInkNEPyDxlcB9KoMeIyhJjbkEYFKfXDAhVXRzx6BaAaylgopW9iTwRvtoVf9agwmt\ngKN0b89pJyTeQZSeTSvJrqGLMe/VGnvfph+q/ZRCS5K6s3P6DbGlNYw/h6K1IzvXIG+M5AnFjJYE\nVBoLTeZqcNDw2/Db8Nvwu9RnrHvVaJ2ksSP7NCL6E+/92733+0T0k0T0jKTPM4jox4iIvPe/TUS3\nOuceyzGdS2AxRlCiWdGVQLc0FvesTuDFVdJqPhVQC6hoYIvs0GhVfTUCbY3q+twD8gCA0rWhz5Q7\nAhqAuiQ/hO54hXYkGEX8VCxHOCLN7TK0JsTbTjbH4l1a521hRk6eXBI2x/U0/M73Mfw2/L4R8dto\nnaSRyH4IEb0j+v9fbP7G9Xlnps8J2rZBawEhEgSgfVKQywUTGpX88IZFruqb+ywBEvy2gpNWdRSR\nZyzw7gHmpQXkCBCOpQsEUFF9IXzmsJ49eibCdZHzHbW+rMVPlRLibehibN7oLuCcMKNGF1L7nOzG\n8Nvwu6aP4TffZ9v4/bu/S3TvvWS0MtqVu0xPd999N/32bxO95z1Ely9fokuXLnUZtHTkIFftCUYy\nRlDSU4lN+/QGHEHmXHU9/Z4dUmG+evXk33JO6vr10320ASMnc0keCXTRim7rWDXVyDGCZrRavLtL\ndOUKxhsFwjnrAg2AtAILzk9J97ZGInvhwkn+UjCByBH3OXcuP1ZuPM5PBf4xz9o5awaQPbootbfu\n3iE+egzMqLELqd3wu46P4bfcx/Db8JuI6AUvILrrLqIv/VIy2gJdvnyZLl++rM5XI5F9JxHdGf3/\n8Zu/pX0+VOjzfrr77rvpRS8i+m//jejSpeFvc61MSYaKAo8WyKV9cgEHEiRpVJhzcytV7WodYsoH\nPSqFyKMlsyafKQLyMe0GATAtXWjykYKtuI/GNytb/VBvIptbn8PDwa5CQIz6hbNnT/ZpTYwkP1Uz\n56CTsFM1J7tBfP3cMWNO62n4bfht+G34jeC30bR06dKwMRnonnvuUeGrcbT4tUT04c65JzjnzhLR\nlxHRq5I+ryKiryIics49nYje671/N8e0xujSAHJObwtFK7rITsdYgIqAHFphzgEYV4lFAAz5mHzN\nUSkEdJHqcQvItYJBHJBrf190GwEk0Xi6aNV7jg+ni3RemroYkzeii9xRXs1gPMenJZmTfC+6wz0X\nu8nJTYRjhuSjx8KMnjkbfpf7GH6flsfwO99u+I3hd3rfGy2fulXqvT90zj2XiF5NQ2L8I977Nzrn\nnjM0+x/y3v8X59zfd869hYgeJqKvkfhuK8jT5t1aHW2p6GoBGAK6CHgjIBd2SKQPd4cXwtTOKwdO\nGgDW6lh7wSD+vmjou2QgHEMXpWBi7B3Zbfuh8+cx3nEwhey2huvQQLvFv7T2aVnPvb352k1p7kvA\njG1hrOG34Xfax/Db8BtJvo3WQSq1Ce/9LxDRU5K//WDy/+fW8BwbrOLnPHp5l6r+uXYiHHiuXZP5\n1FZ90YousiMg8QlrxwEYEgRozSvHS6uyN6aDLt2DcwdCzi5yfabURc9YSwzI47mlwVRu7mH+UlCf\ns9WWoL7Fnre9nj12w9lGa0KTW5+pMGNqXRh+830Mv8vyoH0Mv8vX5vosBb/Te9Fo+aRxtHgUyoF7\nybDmHECi1Vpkp6Ml+EOC0RaZ0cC3FeQ0Aju0gipVfbVATqrWBj45B126x6TruWvDrtwYz3S2VEe1\ndIGAXE5fiC64Pj26kNq1/VCrn2rxZWiC1eKnWtd7mwGkpAsk6ZkjZkjJueH3yT6G33Xy5HgZfht+\nl8ZCZDZaBy0mkc0ZHfrNq20CYcnR1wIY4uiRsZAgqUdmJKiVgBmde608uedwSg6xF+RqvtMngUHt\n/Yk+X3Z4ePLI15R2E/og4FSrC3SdW4B5LF208NbSVWhv8R25PkgwLgX1qJ+qnbMGZqTP/GnrAikG\naCUrmpixDV1I7YbfdTIbfg9k+H1j4LfROmixiWw4GpdrmxMQTuno0YpuLojUkLkFdFsr1S1BNjKv\nHK9UZu9lpxlAlzuWlRsr1UXuRRnc/RnbRa59quQIAcJctbZWF4FPSzCBAGpOnjF0Uct7iuQJ2Q1q\n2Z3qSXZ75qyFGalth+BT6wUuPYnRtjBjW7qQ2g2/cZkNv4//b/i9XvxO7yGj5dNiE9m5GHRLUII6\naKQ6KgWIKDi1yIwAs1TRReRplbllXukbNHN8kMowoq9cv9zc0xdlaN2fcwBCCZwQsJyyz1zXcyo/\npWFjqC9D/MI21jNtCwGv5g6jRlA/JWbM9d42/C7LbPhd5mP4vU78zt1DRssnS2Qn4K0BPCif1uBm\nf1/moyWPRkUXlUcjCGjhkwtKEMea6qIU3MwBCFP91gJhuo7I+pSqtakcLRVdSRfSvLbphzhdoGNr\n7Dxp2Qbip7a1nohN9uhCK6ifEjO2jbGG3zIfw2+cj+H3evE71b3R8skS2ZF594BcCxi0gsoY4I1U\ndBHwzsmDzKulj6YukIquBAZzBsIe3kRYRTddn/CNSe77pqWdVGS3tbbPXNZzCj/VGti22EaLn5pq\nPce0yTB3ZPduzpgxl3vb8Dvfx/Cb72P4vU78th3ZdZIlspn22AA0eGtUYhHHiozVKs82AUMLvHt0\nMYbMwaFzx6CmBELpY+2SbLVAiAJP3Mc5LIg+ODieR+AjgW46FlqB30ZgUaMLtH2s3Y6pgnEpyB4z\nkZ0LZtTqQtNvziUgn4suDL95Pobfht85PmPid04fRssnS2QL7cFIpGtrg6mUf44HEQ4qUqA55Vgo\neGvxaZnXWJXh1sDlzJnTL5RAQHcMIIy/L1q6lttBqAXCXKKRA6dafYRnktK3P6ZjxS/oyfFJddE7\nZ01d1egCaW8NfseyjZYdrKkwoxScophRiykp/1KfbWLGtnRRajf8rh/L8LtOZsPvZeJ3qg+j5dOi\nEtnW6jpXmZeuHyMoQSuNtRXUUh+NgLUVVMasjs6tMjxVQJ/enzX3djjaE3hPBbIlIEyBJ+3Tow/O\nDlPQz/EJaxWDpTTnVl0EGcfYQZTenBnGRoLfqWwD9VNa92eqi5ZEVjMx07jnp8aMmjkZfht+G34b\nfqN9tPA7pw+j5dNiElmucqoROKRvsAvtCIjWtIc+U1UaUZCbEiyRsXodXa5Pqy4QkEPWpxWYOSCU\ndhS2FZBLdhOuRyq6rUFHy31fqw8tXUjtnI9Cry29OTP00do10bANNAAaK1Cr0UXaXrvLh/rEOWNG\nbUJo+G34bfht+B36TInfKR+j5dNiEtkagw6gxn0OITaSmu981YLslIbcY+wtOyZIH63dmVaA1wC5\nsZwqWvEeC6ym5J0DwnT+6dxDnxZ9tAaStTsQ2gF5qV3aUa3Vc6ttaO0qtfoXVBehXdOvh7FTXWjw\n1vLR28IMTV0Yfpf7GH63yWP4bfhd4mO0fFpFIlu6yUtGWVNNzoGsRlCiAWAtxo44Da0+kl5q+Iy1\nPqgutrnOawbC1LakZ2OI2oKp1kBSuodq5qxZfdfUc042onbb2JZ/6cEM6dp4LWrtphYzepKeluBP\nw5dp6iJtN/zmxzL85uUx/O7nvRb8zq2Z0fJpsYls/KzA1AaNPksV2lsdfW3FMrcOrVXWMar0rWOh\nc2/pg+gCATDNqjgiMxeozeFZPwQIt60PNFDibExLF7W8tRPZnsAW8UEttlHr7+I55Z4L5jBj7ACy\n5j7Q2n2YEjNq19Pw2/Db8Nvwu8RnTPxOxzJaPi02kZ2LQbcEJS0OsbVqhRq7Fsi1gG6Lg9Kc1xh9\nSvdkyxpOdW+PyTsHhGPqA02wkICrN2gufQ5hTolsT3JZ2wexjRYbi+d0dDTsDpSeC56r3YS5tyYi\nLX5KAzPmup6G33l5DL/5Pobf68Tv3FhGyydLZCt5S9e2VBFLBthSjWw1do2xcn24aiQnj0YfZJ3H\n0oVWoDDlvT0m73Reoc9Y+mgNEnt2ntK2kEiNsQuonchq6kIjAGwZa1v3di/vtWDGXNbTdGH4nY5l\n+G34XeJjtHyyRLaSd821RO27GCjItQBYq0OoBVS0oqsxd7TPWFXosSrVuXtb+lbcHO0mfYFL+Dd9\n++uU+mitDMfycLoI12/bDyGJbM8uYIvNtwbRqC6kIHyudhNkR+7VOWFGymcu62n4nZfZ8Lu+j+H3\n8vE718do+bSaRHaqoEUjKEEdPQI8LYFmi0PQdCy1QVtP5U9LFxoVxFY+U4FV2n501PfJF453CVDG\nCABzz0vmxkKDu57AQivYHyORbUkukR2I1iC61r9sSxdSey1moAmNhp8ay9cbfht+BzL8Pi2z4fdJ\nOabC79y8jJZPi0lk0yBqqsCiFuiQoESrOtoCBq0OGhmrNfBtDdpqwbt1fZB5tcrcuj4xoMwxIK9N\nJOL5x0AcPnye8glrdHR0GrBTPoeHp7+jmvYhwncySnMu3RfIeuYq3FMmsnOzjZagZE73dm/ytETM\nqJmT4bfht+G34ffU+J3rY7R8WkwiO6VBx85IIyiRKkmIQ+ypoEp8UHk0gAcJ2pBgohWYW+Ye5Akv\n7dGqQvfoaxsBuWYigVR0S6CTs88cyMV9cnxq9ZGrDGv5oW3qApl7qU+Ln9KyjTkFeTc6ZsypMHCj\n68LwOy+P4feNjd+leRktn1abyKKfWqjdCcl9rJ2rqI0JKi0Vy1Z5WsGyFeC1Kroac9/ZOX0/aQQu\niL6mDsi1eEsBDgdyElim1VoJ5Dg+NTZW+yZcqb3n2pwfatVFqU+L/WjZBjrWWPc2t1MyJu9wfStm\n1OpCCzO0/ZDhd3ksw+86Pobf9bzXiN/ceEbLptUmsmMFkDW8Q/uU1UikIoU4ca2AtbVaqxWQ1a5z\nydHFvFrXGQ0mpArimTPb+x6mJm8JwFp1EfogY8UBMXLEqUYXuTlvww9J14Y+LbaBBIAttoHaczrn\nbXybVJM3UdlvzhkztrWeht+G34bfWPuNjt/hRFXax2j5NFuVLhkIWyqWrcDDrVGuj1b1uKfqq1Gt\n1QoUEF2k/XLrE57hCADVU4VGgHDuAXmJd02VtVUXOT7SWEFe7oiTFNjNzQ+hughzQ2yj1Xcg932t\nbXA7m0uzGy3MqNWFFmZwusiNM2e7Mfzm52X4jcuzND+0Zvwu9TFaPi06kUWr75oBj9TeAmBjBpEp\nGCB9WncEUABL+2iMpdUHddCoY41pZ+e4KliSB+kjgVW4ttResguEd2irPdJHhFVZ4z49uojvoZws\nqDwSH8RXaBz/1Q72W22jNbBFgrsWX1YbiM1xJ2QNmNGynobfht/afQy/Db9LfEpjGS2fFpvIan2/\ncWwg7HH0LQAmBaxI9VizGqmxa9AaKIT1iV/y0KKLtB/qNHscPdeHu/9iu8i1j5kc1QBhaX1q1xkF\n1FaQk4Ibac7oNwO1/VBtIttqG1qBdoufqp3zXL/f2LKDNTfMqJ2z4bfht+G34fe28dtoHbTYRHab\nBi0BoRY41fLpAcuxgJmrGJbkaQ2gc4Fry3EhDQArOU0ULFuTpznbDVoVlwCstupb0kXtWFMnm2Mn\nstsKoktzafFT3JxbdysQ3tqJbEtyoKULLcxYih8y/Db8Nvy+MfE718do+bSoRDa+CecKhC1OXKsC\nrwmWY1aPtSq6tQCWGyu8zZB7NX8qd8khon0kxxqvNXL/lewid/227aa2Kt6qi9qxxtBFrn0uiayW\nnxprF6cl+I3nXLsTMpXdlI70afjfbWIGsp6G3yf7GH7zY6X9DL+3bzdLxu+SPEbLp8UksulNuG2D\nLrVrVcURPq2gO1YlPwfMLTsLyLwCgHHPWaUy5eblnJyMIHxSuXv6SJVhLmCfMxC2VMVbdVE7Vivo\naiVPUyeyY9q85KfQPrXJrtZ6Se1r0oUWZkgBueG34XdMht95HobfbWP1JM1Gy6fFJLJzMmgJCFuq\no1NWPnN9xqhCt/ZBZEYBLAWe1j5a1dpaRy8lT3MKyBEgnEoXMZ+ePhJYztUP1egizG0qP9Xjyzjf\n0bNe4SUtYWdn6kRWK6HZFmYsKSA3/Db8Nvw2/DZaD1ki2wmEqXFoAhgCGOlYEvCU5OmtwGv2QWRO\nefVWCCU+qYMujVVb0W2pWK4BCOegi3QsBHTXmsi2+qmWoB7hg/gpzfV0brwXcyHX1vrfuWHGkvyQ\n4bfht+G34bfRemgRiWzLq8J7gzzOQNLr4/ZcUKIVKLRWhluCUQSY07HS40Kt1ezUmSMOkXOsNeCE\nOOhSn1o+qDxzAcIau5B0P7YuavU1hi6kdo3AorTeNboIz5ilH4pH/RR3v7XyQf3mnAoDrbponbtG\nkqEpT2m9DL8Nvw2/T7Ybfvf30ZLHaPm0iER2GwFkqyNqqWqigMEBNjIXVB4UdNOx0uNCWvPiqm21\noILwaQXUMeSZExBKdiF9UqOluq4R3PRW++eayHL60NaF9+0B8piJ2lwSWU4XSOLVkujPDTOWoAvp\nesNvw29NeQy/8322gd8lPkbLp1knsmGnYNsBpFTRTYEQCew0KqgtIIfK0wKWab9S1Td+pT4CumiS\nMTbIxX20KrrayVPY9Ygr62PthOT0xr28A1lDLV0g90YKli2V4W0nsiXZtHVxdHR8/LbUJ/DigvHS\n7m+Ln8rNeZvJE6eLmkQWxYM5YUbp/jP8LvMx/Db8NvzeLn4brYNmm8g6d+wwSwbLGZ0WEJYCsxog\nbKmyhpePcIDRMlZrn1Qe1Em1ODJkXqncPfKgAFbTp0dmSR7k/uXsRgMIa+2CaHpdcLKifSR9obrI\ntWsmXqls29AFkuwGWZwrj1WSSerTowvp+jF1geABmvTU9hkLMwy/Db85eVK5Db9Ptht+T4PfRuug\n2SayRMeGlTMq6RiEFhC28NaosjonGypSZdXqE/ppVMkkh4oEAanciDw9VVYUdLn7BpVZ0rt0fwbb\nGBMIW3lPpYt0LC3QbdVFrn1sPzQXXdTaRUmmXB9uzrnkAlnP3C7imLpAd92QPlICMSZmlNbE8Nvw\n2/D7pCyG38d9tonfRuugRSSyOYOQghZNg67hnQM5ziGU+gReUmWvpVqLBEAaVbJWQEWCgJSPVkW3\nVRcpHzRQQMbi7k/ONmrvXam9xy7CvCSdaulCI+DIjdWqi5wc2gF5De8pdVFrF6XjqPFYIVAu3Z9I\nAFnSVW5neWxdaOy6pXymxAxuTQy/Db8Nv0/yMPwuy5GOpYnfOT5Gy6dFJLKIM6hxFjXOoLaihgQT\naAVVcgrI8yo1wBy+oYhWySSQQyu6GtVjLYfY6zRr+7RUEdH7t3TPSG+l5IAwPPfWUmneFoChiVOw\naQAAIABJREFUoIvI05NspnL06ELiPTdd1AbQwbeVZA7JZtyn168HfWjrGblWAzPicUpzRPggmFGT\nyBp+G34bfh+T4fd28LvEx2j5tIpEtra6VFvVquUtVUeRPkS44+AMPsgaQC7HJwXUHqeAOheNSqyW\nPLUyI7roAe+0TysQ1t67Unv63FsL76l0oRUkSXx6fEmPLjR4L90uNHURt2vrIn6BSylATJOVFsxA\nk7CUT0tijfYx/C7LkfYx/G6TZ+5+yvD7JM0Jv43WQatIZGurSzXOoLeii1TFtRx9bi7hiBxSAUMq\naTXOBanojg0qWoDaUiHUAPgeMGupuo7Je0pdtARJLWP1+BItXbQ807l0u9DWRdzem8jW8tbCjNYk\ndSx5DL8Nv7k+ht+G39vGb6N10CoS2dp2LWdAdNrZpyBXcmRSNTvw0qhKIeCUGjxSbetxUlNVdLWq\ndmPoohW80fuzB0QR3tK1ud2gKXUxhr56/VA8hpYukGO229aFto/S1kXcro03Ke+cLiQ8QDAD4YPg\nUy5RQ8YaqzBg+G34TTQ/P2X4fXruS8Nvo3XQKhLZnOPWBMIa3rmKbun6+JmWnmpkTaURcUCaFWap\noosGrRp9uLEkebSCgJQPAgZTVl21QFbaMRpbFy19xtRFTo4bRRdj+ChtXcTtYybJpXFTzMjpqza5\nlPRe6oMkark+retp+M33MfyWxzL8rmufO2aMhd+5PkbLp1UksrXt4fXw4UherUFLICsFCrlnWrSC\nO8S5SCCHguXenjyWFoBpObvWPprVyFpdjAVWYwTkEu+pdNGy0yEFN9oJzo2ii7nZRUmOGrxpxYwc\n7zRJRRJHSecon1yfXNKMyNyayBp+830Mv/v7LNFPGX7jfXqKE0bLp9UksumNHr/dLb0+fu5Eqjxx\nY4dPQMSfaUCCktwYPRVdyZhRB11bbSsBYS0fJIHQcHZL1EUPEPZWdDnbaJFral1o7HRoJrKpHDeS\nLuZkF1J7jy5aeMfXBv655BJJQKUkDElS0WQ37dOTyBp+G34bfp9sN/zm+7ToItfHaPm0mERWs+pa\nw5trDyAYP5uGBBOhXyy/BvCglSukWos4F4RPT+VTw9m1ABgiD6KL1rGk9UHvT+Ta1opuC+8pdZGu\nYY8uuD7oeuXabxRdjGEXvbrgru/RhdRe4t2SgCKJbKoPNCGWxsrJ3Hp/Gn6XZUXHMvzmZTb87ue9\nBvzO8TFaPi0ikc3dgGnFttXgpYCIA1mOL/e6/NBvDOCRKlc9FVQE5NBqbY2zKzkyBFBr+0wZBLSC\nt3R/BttoDRCRZKGFd8s91qqLMYI/KXCQ/FTafqPoYgy76NWFlBxJvDUxI75Xw3ced3ZOX48ku0hy\nKfFpGUvCWMNvw29OHsPvYzL8ng6/jdZBi0hkx6zo9lyba8u9Ll8yVLSq2cOnpk+PcxnL2SHP8/SA\nrrQ+tUEAUkVE9SXdn1zVtfXeDvNsDfZbQDY39x5dSABWa4M9ushdf+bMceKydl3MyS6CrD2JrCZm\n5HxmvEuYzr00PySRRfm09OHmbPht+C3JY/h9st3wuywLOhZig0bLp0UksghYtVZ0EZCtcTREmIOu\nNeb9fcxQNcYau6pZ64CQuaOOrGd9gsw98mg4cRSspN2KUlCN2FUv77F1EfOZgy5yY6QfqF+rLuZm\nFyU5aoI8Tcyo9VFhJzO3a3t4ePwipFIimya7XMBamk/KpzfZNPw2/Db8Ptlu+F2eR81YUkJstHxa\nTCIrgdW2Kro9DrrWKWg9S6AxVk/VtwWYEXmkefXoQkseDV30BGrova3Bmwt+x9YFygfRRdyH0wUX\nOEjJx5p1MTe7KI1RowtNzNDyUWE3MS6MpDu78Vgh4U3vyXgsbr5pslvSh+G34bfh98l2w+/jPtvE\nb6N1UOZWxMk5dxsRvYyInkBEbyOi/9l7/75Mv7cR0fuI6IiI9r33T0P4S+CvUdFFKlM1VS2i+ioi\nCmCt1dEWMNCoaqJgiTi7nspwDfBwutCQR0MX6P3ZYxdh7NqAnJNb0y5qK7E9uuDGqgkcSjL0Jk9L\n0MWc7EJq7wkQJd4lXWj4qMDr4GBIUBFdSMluaT65ZLfHDxl+G34bfp9sN/w+5jMWfhutg3p3ZP8p\nEf2i9/4pRPRfieifFfodEdEl7/3Ho0kskW5Ft9VZcLx7K5YxqLS+Cl+rihiPhRz36JEHcUBxH1Qe\nDQBbgi7QoLrHLqR2iXdJLtNFvt10MZ0uSmNoJV61mKHlo2Jeki7C0WNJF6Xnt2OZg0w1CaPhd34s\nw+/yvNaiC8Pv+ejCaB3Um8g+g4hesvn9JUT0RYV+rmWs+FtxY1WmEGdRC4S1lT2kKjX2cx1pH+S4\nh8YH1VEAk8bqqdrVrs+2dYECYU+Qh/CuvVbLLmoBtXcs7p7vSY7i9jXoYtt2EY7Ihjd+jhnkaWKG\nlo8iOl7rki7C52bC8WPEZ6afqInnE77FenR0es6G3/OxjXReht+8zIbfNwZ+G62DehPZD/Tev5uI\nyHv/l0T0gYV+nohe45x7rXPu61DmZ85gryHnDJb7nIHGTkiPo0dApRacpLFKTgGtfNb0kYJ3aV61\n8vRU7ZakC80gr5U3cm0OCLXtouclKsi9WquLmuQobl+DLrZtF0Q6yWgPJkjtUoDYo4vQ7+BA7sPd\nk4gu4rf7hj65ZNfwW+5j+G34nWs3/JbH6sVvo3WQqFbn3GuI6LHxn2hITL81090X2Hyy9/5dzrkP\noCGhfaP3/tdKY959991ERHTvvUSvfe0leuITL4lgJRlsqaKs7WhCe42BaR0FQitXkgPSPJrUOvfa\n9UHWuUcXqYPepi5QMGsBqziADMFqrr01OL127Vju8+fzc59SF0jgwsnTo4u4XfJDUkDeoou12UXg\nM0aCg9pNSX5OV1o+Spp/3OfgoNxnZ+d4p7WkiyATcm8jujD8Nvw2/D7Zbvh9PNZY+G00LV2+fJku\nX76szldUq/f+s0ptzrl3O+ce671/t3PucUT0VwUe79r8+9fOuVcQ0dOISExkf+mXiD72Y4nuv183\nKEnbpcCCA8LWKlDqEHuO+dRWLBGZteRBHNCYc28B754K8xS6QMGsFay4IC/IxtlFaf67u0QPP8zP\nPdWFBJZcnxqQ24Yu0vbagLxXF2uziyAzWhio8evoekrfBM5hlZYuYl5cIhvWGklSS/KkY/XqwvDb\n8Nvw+2S74XdZlhyfVrswmo4uXbpEly5dev//77nnHhW+vUeLX0VEz9z8/tVE9Mq0g3PuonPu5s3v\nNxHRZxPRGxDmEhCGT1pwBi85456qF1chrHGIvW8Q5EA7yBtXpXpeza/dB527BE6lua9RF8j9WXoG\nrgYIpQCyNjidUhdpRRcZiwvGS/Iguz/S84ho8lSjq7CrFhKrbepiDLuQdmQRzKhZTzTxQnZCctfG\na9iqi9Dv4ABPQEuJbJCJe7FU3KdXF4bfht+G38ftht/T4LfROqg3kf2XRPRZzrn/TkSfSUQvICJy\nzn2Qc+7nNn0eS0S/5pz7fSL6LSL6We/9qxHmXHUpPJ9DpF/R7ancE9UbKuLoe44LpQ5IqqCO/dZD\nVJ7aseakCzRIatGFlDzFL1lprehKiRdS0c0BobYu0KBkrLGkOXO6iK/vSZ5yuoifYZxKF1PaRYtf\nTzGjxq8jBYuSLiTeyLzS477Sjqx0/BhJdoO8yLO2vbow/Db8npMuDL9vDPw2Wgd1qdV7fx8R/b3M\n399FRJ+/+f2tRPRxLfw1AosxKlMIb6lq11K5Qt78h1QRNcZCnn9AHFDPMzYtc9cKAlpfFqGhix4w\nq6nocgF5K29tXaDP4Vy4II917ly+D6oLKdns8UNS8tTCe212Efig61nj17UCSClAlD6tc3iI78hK\nfEo+M8grJcTSWIbfht81Yxl+n2w3/D6WZSz8NloH9e7Ijkqc0UkVGxSsEINuqegeHh5/q6/VsdZW\nLLkqouSAWqq1GgCGVtJ61kcaqwXkNHTROi8pUIsDzLEqui28p9QFUl2vtcGWbwJyuoiv7w3Ie3cB\ntexrKh/V8rKnVI4avy7dTz26QO7DuJ/Uh8MmouN1KOki7qNxtNjw2/Db8Ptku+F3eZyUz5j4bbQO\nWkQiywWIRH1gJRm0FPDkgpY4UNjZOf28VDx+GIfrw328PjVmLogKfSTAQKptqONodS6pfhHg4XQh\njVVbXUccq6SLVnnQ5Km3oisFpy1AOIYukECqdG/U6CI3Vo8u4uulgEcKWloS2TECVg276A1qUcyo\nuffTb9SW7n1EF7lrw2dmpB3Qw8P+Z2TjhDgnayqvJI+GLgy/Db8Nv0/Kavh93Gcs/DZaBy02kd3b\n4ys2NQZdWzFDQPbgAKtmc8ZVA6hEeJVV67tvGoCKyKN5DKqnilgb+GvpopQ8ld6QGmyjp6IrAXkL\nyCJzr9UFmvS03hto8hPaa3QRX9/Cu6b63qsLrSOEY/uoGsyoSZ6cw+59SRe59pi3FmYgCbGUpEoY\nJiXNht+G36GP4fdJeQ2/y+OEPlPgt9E6aDGJbGqUUsUGBcKeAFIyMM3nnaQ+RH2V2JaKZStYjsUH\nqehqPe/UA3K9uojBaGfn9DcW4wCqFqxqkiMJZHPtU+midqzWAEgKmjldxNdLfkgKyFt2ATXWJ92p\nnMoukDflSpjRmjz1BJDS/SolRpqYgeBTT9Js+G34XcPH8Pvk9Ybf+Fg9mGG0fFpEIlsKEPf3h99r\nq+tpO2fQHO+Ss0CCgDhwQYBQ4nN0NPyUgqiDg3IFMO5DhDsODQfUWtVE5UGcHQLMSKWxtnrc+jIE\n5P7b38fAqjWY5+yCqGyz2rpAjzj1PnNZkhmpYpd0EV+PBOTcfVBbfa/VBRcESEnYGHbBjbVNzJB0\nIQXR6DprYEbP86+pPHPUhcTb8Lufj+F3fR/D7/ngt9E6aBGJbM4glnI0SQPkJLAMleG9vdPVvbTP\n7i7fJ3zbL3cMCq3E1jig1qpm2qf3iJM26PZWEZHkqSRHsI0SWIXn8SQgrE2OkKRuSl1MUdGV5szp\nIr4eSWRrA3KOt5YuQj/JH9bYRU+1H8GM8K3X1A9qYEaLLuK5oUd5OczgxqkZq6ZPqy6IDL8Nvw2/\nYzL8ng6/jdZBi01kU4MZq6LbwjsGwt6jSUhQIo0lVc5jPshYoXpceuantqKLODKpsnf9OtHZs3yf\nORxNQuXhxkLvv1x7CIIkIEQC8tpq8Rj3BlIZ1noGtCXZlOxqZ6d8LLcmIK9NklsCBSSo5+w0vMxo\nzOAYmXOLLlLeHCb07sjO4WixBmYYfht+c30Mvw2/t43fRuugxSayIeg4OsobbU1QkjPY3gBSE5yQ\n4129oFvDJ6xZrjIcB62Ik0KDVq1dHA150CNFPbtK3FgIEO7v9+0CcrxbK7q14NST0Ex1byDHsXp1\nUZonpwuEt0agEOTg/FR4DuzoqM8ugk+XfAvn11t1gfBuDSBDu5SIzBUzWnRh+I2PZfjN9zH8ruNt\n+G20NlpMIpsatHPHRzB6Krolg+6pFqOV2Jrqes8RsBaQ4/gg8gQnzB2D4p750aqgtjjN1iqiJuii\nR5NyaxcfTWpJcNCAu6Wiixwp2kZ1HdVpLfhr6CLwzq13SRcS71pdIAF7j59CgqT07b61CWOMF7W6\niNs5zJB0UboPED8+V8xo0YXh92k+ht/tfAy/Md6G36f7GC2fFpHIcuBfMvgYRGpBNt1laQFCCXhq\nKroIOKEgpxGMSgAf5EEAtVQZDnx6X3ChVUVM+2hVdHuOJkl2UQIz7r6SeMftEhCm7VrghOwUalXX\npQAIAf9eXYRnOtOjgJwu4nYNXdTYM9eHG0vabY3l5u6N0v0b40WtLmLeHGa07vauETMMv+eji5SP\n4XfbWIbf/NyXht9G66BFJLIc4Ozvl42up6IbAyFX9eKMUPPoFgI8SEW3B8A0gbl2LK4yTNQPPNuq\nIiJ8au+/YBfS7g8HhL12U+I9Bjhxc+TGQiu63Fjp52dyfmgbupCur9VFb8Au2XxI1Gt2uWrnHONF\nrS5i3ty936KL0I4mInPDjBZdhOsNvw2/iQy/0+sNv6fBb6N10OIT2YOD/oquZNApyIaAC6mojf2M\nTQyoGseXEJCTgBkZq6bCLMkTdMVVL0NlmAtciHiHiDhoDWCW5EHtoqeiW7q2ZiekZJOleSFzD3yk\nBAsZC9FpPCepj+SHptQFKhcRpgvUB0l90EStNaiXEtngL3p3ZGt1FTBDstmeZ1IDH1QXWpjRoosw\nhuG34bfhd37Oht84nx78Nlo+LSaRzRkl94xNDRDmDDq8iIIof6SPexHF2bOD0WgGfxIY9IJcDaBK\nfCR5UIDXAt34HhnzmZ/aY1AooNaClfSMDQKE0s5Sbp1CgEiU5x3somfusfylcYKctbpoBVQuMNmW\nLoj45AnRReBfc9x3Kj+F6CJdE+kZ2V7M4HRRgxlaz8jOWRdEht9BFsNvw++YDL+nxW+j5dMiElnJ\noHNGiQJhjnf4xuD1620Vs7294VrNZ2x6qrU14NRb0a3ZNUDmjh6n0qxmS8/8cIEwUtFFKo2co0ft\nonR/alR0SxXbw8NyABnsgmj840JT6SLILO0CTq2LwJtLsCVdxG8bRoLfOfgpZBe6d0c2x7vXJoM+\nuDVcGmYYfs9HF6nMht/lsYgMv4luHPw2Wj4tIpHlbvbSM08oEHIGf/16W8AzZXUdAYMgDxokcWMh\nFV1pXtKRtHheiMwaQQCqi/D9Pe4bfNwxqLSqOdbRJOkZGwQIa+1mZ2eYeymAROaeAhgnPxG/BqFP\naSx0VzLmU7smNboo7fK1+jBJz87huzhz81OtR4tLeIHMA9mRlXQh+QWNXcAl6CLIYfht+G34fVoO\nw+/p8Nto+TTrRFYCgvgIRs/RpFL7tWv8uJxcNdV1CTCQPpyRnj17XGFGAGzsKuveHhYooMDcWzkf\nQxelY1BBF9IxKA4MULvoqegiR5PS9vBJjatXy0AYKrolfaRBQE9yKfWJ5UGAWar65tZkW7pIx+bm\nj9qGhv1IATvqpyRd5GTh8EK6NsyhhBlauug9YroNzGjRBZHhd9zH8Dvfx/A7z9/wWw+/jZZPi05k\n0QCyJQjsregiwCM5aBR4pGM+SJCEAE8NqKAVZgRQe0C3plor6QLhg+oizL3lGFSPXUjXo0eTOJC9\nepU/skeEV2tLYCl9qiUNJkoV3RiYJXk4mff3j6v9ueu3pQsuIIqPUPbaIWobaCLb6hO59ezRBRF2\ntLgl+CTCjrNuw0+NpYu43fDb8Nvw+3S74ffxWGPit9HyadZqRSpTwaH2VHRbjiZxjhw5mhRXNXsc\nKwIGWjsvsTxTBay9oIusD6qLmsClZ+5hXqVjUKhdODduRZcDQs4uiMrzD7oIfXJ8wryk41kxgElA\n2HpMLMgc5pwGNpyPiuUcSxdafgq573tto3YnrKSLkm2gunCuHjO0dHFwMPyeo234qbF0EeQw/Db8\nNvw+LYfh93T4bbR8mv2O7P6+fFwr1y6BFWLwpaNJUsUMqa6fOyeDU02VFQkQJUdfAwY9VVYEmNGx\n0KNJc9OFNC9OFz12EV8vVXRb7AY9mlRao6ALoj59pEeTSqArjRXWKvQprSdXxW7VhfTMEnqclXve\nC/VTvX5B82gx59c52+jRRZiDtCPbutuLzH2umNGiizCG4bfht+H36TEMv6fDb6Pl06wTWel4UewQ\naiu6CO9r1/jgtFRRQ47e1B5f6q2gShVmRGatZ1Fq5q51NGmpupB2OqSguXYnBKkWS+0lIEyBBwHL\nVn0EXQQ+pYquVD1G+nDgj6xXaR5hZ7Dkh3p4B7mloGzKoLXGNjhdlGQJOyOtR0453pIuJLtCkqe5\n+qkWXQQ5DL8Nvw2/y7Iafo+P30bLp1knssjNfu3a8Wciaq8tOQMivWdsNI4L9YJB+lxHjtCqpubR\nJGksFJivXy8fx6tdn6l0ge68SEAnBYgcIOWOPUnXIkeTrlzBQEU6LtSjj9DuPX/siIi/XwNv6aU2\nXCKLVN85XZZ4T3G0GPEdc/JTiG1wgVorZiC6ODjgd8e54Df0WRJmGH7PRxdhLMNvw2/Db6O10awT\n2b09HqzCTkhrdV0yeO5oEuekp6yu1x7Z4/pcu8bLg1RrtcAg1r0EzL1Hk5C5I0FAjS6kgJWTRwri\nkKosF8xz93bP0aS4ossB4bVrx30QfeT4xN9A7Q0Sg0xc4FEC/5oKeen6Em/0aHGvn5rKNmrkaU1w\nxsIM5GgxihncfVjzJuGpMENaL8Nvw+/SWIbfp9sNv6fFb6Pl06wTWbSi21L1kpwFV9GVAkR0pyMY\nF1JB7QEDxPlKVcR0rCnAAK3oIkeTNCrMQecaY3F9pOo6ejSp5YUOUvApvWSF4x3mfnQ0/JSO9YXP\nG6D60NhdQPRRuu+RgFzaqeP8VIk3oospdp60bQPxU5wuEMzoPVpc2pFFgtMeXSCYMRddGH4bfht+\nn243/J4Xfhstn2atVqnqGoyuJSiRqrKhojvWs2daL1FBKqhotR8BZgmcEOeDyIP0QcZC1nAbuuip\nIO7sHFcquXu79PZVDqxiEOUquhwQXrlSBlHnjoPX3KcLdnaO5dfSB3dPx/poDZSk9eRsBvFT0tFi\nThdcUIMEm9q2Id33kt4RXSCYweki3IO59hCkpUf6NIoKSPI0V8w4fz7Pw/Db8Nvw+yQZfs8Lv42W\nT4vfkZXeFsqBlXQ06erV/LMbEiBoPXuGGLvW0SQEDJDAFw1Yayq6EjBrHE1aki6kD5fHYDbW0aT9\n/bxtcHKF9ocf5gHl7NmBh3OnE4Z0jpr64AIl7qhYry4kPyUdLeZ0gQTsmrsdU9iGpItWzKjRRRrE\nSbqQMKMmeVqKnzL8no8u4nkZfvePZfidbydaHn4bLZ9mnchKRok4A+7a0F6qPl29yh8NKTka7SN7\nvVVN9EUi0nME8bxKL2fQcj5IYBf0gFR0e3WBvixC662HSHVdei6zZVcKPZpUkp/jHeb2yCMyEEp9\nUH1cv84DqkbQ2qsLyU9JR4s5XXDBfo2fQo8j9tpGTXWd280YCzNadSHhzRoxw/B7PrpI52X4nR/L\n8PvGw2+j5dOs1RqDWaky1Xp8SArygqMpGTuy04EEZEiAKFUaNY6k1QSR0lsGNZ5rqDlmKAGh9JwS\n+rIITV2gFW9uLGRnqaWiiyReYwPhww/zoBNAzvv8HEOfkg3HY127Vp5v3Kd0D/XqgtM1EuxzugjP\nNOUCgdoAuWdHFrGNeIe4Rxe9mMEdLe7RBWdXWkeLt4EZ3o+nC8Nvw2/D7/y1ht86+G20fJr1jqwE\n/ru7g1GVjg9JYCVVi0sGK/HWeNYrjHN4OPQ7d67MpwYIe48mIUCoAQZIRRcFQqnyt0Rd7O3Jb+Us\n6UkKyCW74OaIHE165BEe5AIQcqATQK6kC5RPAObw/E+O0Jc9tepCCti5yr2kC+55JjRxRF8iMwfb\nQAK5Hsxo1YVm8rQUP2X4PR9dxHwMv8t8DL9vPPw2Wj7NOpFFwao1QOSqXhIQSnL1PusVy8gBT1yN\nlHY6endeAh9OHslRhrHQiq40d4kPclSq5mURWrqQZD46Gnj1HE1qqbpKR5OQgL0kFxEGTufOYRXd\nhx8u6wIdi7PzmA9X9UUq5D0JTqlyLwVeiC4kW9W0DdTme5I5xDe3JjjcLsqZM8PuQslmJbnQ5EkL\nMyRdaGCG4bfht+F3WR7D73ngt9HyadaJLAJmPWDFHU3ijCg4Gi4o0XzG5tq1/gAReSBeo6Jbc8QJ\nqej2AmFc0e3RRQDUXl3s7Bw/v1Wau3MyGEi7gGHOpSCRe4EQ90bFOOCurRaH69Eqq1TRLQXBLWNx\nAHfuHF/17dWF5Kd6dgElXUzpp6QgEfVT0sueuEBO2gWUdFFaz/ACl9J9OzfM0NIFsiNr+G34Lc3L\n8PuYDL/rx+rBb6Pl06wT2bGDEqly1Xs0qfcZm7iKWDqCEQOYVB2V+ly7NvxwR28kcKoBVLSiK8mD\nVM57dbGzM/xwx2EQXYTxEAf94IPlsQKYcZ9duX69vuoaXvnPvU003AOlILF0bWjXesbmkUf4o0nn\nzhE99JCOLh54QNZFKSiRdMH5KU4X0v2P6AINWqfyU2ifkp/a3R3aSi8I6U2eSjYXZCvdS8jOu6SL\n2p2nbWOG4fd8dBHLbPhdHsvw+8bDb6Pl06wTWQT8uQo49/FvqeolBSUSiGpUR0MVsfc4DFJBlQLE\n0Gd/X6/ajxyD6q2gIsAcdHjlCl8hPHOGryKG4KoEErHcyHMmUvKEHGct3dvIczCla3t3AZG5P/RQ\nny4CH43qMRKUlMA/BFClT4GcPcs/R8jpQmNHFj3OquGnao6zIvKUEtmee1vaQeR8hJQ8cZiB6kIL\nM2p2HBF5Srow/Db8Nvw+TYbf88Fvo+XTrBPZYNDSmwlzxhAqU9KxvJKj3duTjyZpvIGSA57d3eMX\nFGgEJQhgIGOhFV1JHg4wtCq6CDCHflLVTgpkw/FCxPkiz5lwYLC3x78sIgRQuTGkimmYQ8kuuDXX\nOpqE6EILCKXq8blzAxC26CKWtaSLsONQCqpLupDuf0QXqK1evTqNn5L8ZvAvnN+WdFF6E2asixJm\ncM91cfcbghm9u9FhflNjBqcLw2/Db8Pv02T4PR/8Nlo+zTqRDZVTrirLVWO46lFcfcsZXDCQ/7+9\n84+xo7ru+PfYXvvt2sYQSIAEsDEoQoAbIBIgMKRN0mCIFEqURIlauY0qFLWJaKOCQlJF8B+iUomK\nWlVCpCkJUFqiWiUUKpCCIzVtqFugmF/BlJZfIqiOf3u9YOzTP+ad7niZe859b+a9nfF+P9Jqd9/c\nmTkz597zvefeO/OqKn/OsqdBOgGeEEbPdTS5ZK+JpUmDjOi+/TbQ61WXGcWIbiQ80ajdkiXxCwrs\n2ZhxLU3ylrN6I7reqGqUPHmdvIkJ/2UROUuTcn0RLU0aRAhH5YuyrVX3c9myYl+buZ2qu+rOAAAV\nbklEQVRL1CmxGJbaHvliZqb4O7WUzJb25cYpL3YM8lzmsAlEXV94M18TE0XnNHWNnq+a0Izc5Knp\nZ2SH1QzqN/Wb+p22hfrdDv0m3afViWwkVtGojtfgy8Ei1aBTDbbc4YmeXYuWyOUIYe6Irhd8IuHJ\nEeayEEbPmUQvXjh82A9kOSO65VH51Lns5Qw5y2Fyg2/OKKJ3romJ4lwpXwCFHd6optepzhnR9e6H\nJ/hRJ6/8YoUqcu5Pk77Yt68ZX3j2RAlONCM7rC+ijmBTvti/vziG931/uUsf63aQLbFOxYW6vvCu\nI0dvUp2qHM3IXebdNs3wfEH9pn5Tv6uPQf1uh36T7tPqRLbcsUk1Sm90yBplatTV9q16k5nXKYlE\nzIK4JzyDjK5Hy3NyR1C95YHla4pEN3dENxWAROJglzOiW35TaDTKGgW7QYJvE6OI0dKbyB4L8ql2\n4T1j47UL23///nTd9oQwx69N+aKp0fU9e+rZY9tTttgod53RdS9RaIMv7Pq87/KbmSk6wNHLp6I4\n5cUFr13YObznx6IZWa/OeXoUaUZOstKUZgwyC1hHM6jf1G/qd3o79bsd+k26T6sT2WhZW+4IedOd\nkomJ4tmX1BvwmuqU5LwsImcENUeY7R55b/XLFcKDBwvRzQkuqTKLFsWzK3acnGC3e3f9YJfzgoLc\n4Js7iuj5PSWmNlsx7Iiu17mw5agi1QlJNBKdc+2D+CKqG028CCLHF9EysmFnZHMSL290vSlfeGUG\n8cWSJelk18rY85FVWELsdfKil6zkPK/c9DOykZaVk5WcWbdUmUFe9lRXM6JZQOo39Zv6nd5O/W6H\nfpPuc1Qksp4ApF7fHc2ieAE2GpHMEYMcIYxGtHOPYzM3nsjZsZoaZc0ZJYtGNXu9QsC8AJQjhMuW\n5Qlh7ihrZE8UWJsoEwlh9NZD77X23nVG97spIczxRfRmxEHucx1hzk2emvZFtARtnL5osl1E9pjf\nqxJia+vD+sJ7iU10ndFy1gMH/DY5Ts3IfZ4ydxawTiJL/aZ+U79noX4fea5R6zfpPq1PZGdm4peZ\neCKxZw8wOfnebb1eHPSjZU+pxjro6HrKhsnJ4vpylgIdOFB9ncCsOOUGoNS5Fi0qgmxOAGpiBDVX\nCCN7zFd1n6OYnMyzZ/futC+sTN2Ogl1Tql1Ez9ik2gUw2zZSx446n9GzQeP0xa5deb4YVacEiBOc\nYX1h7dp7C+/R6ovUuXJ8kbpfFpNnZobTDK+TWJ4VqErAy8uq6yRPuZrxzju+ZuRoWDnxrzoX9Zv6\nTf1O20v9bod+k+7T+kR2err4e9i3HqYaXa/nB31buuQJYUpYcjolixcXy5u8EW8TwpzR2ulpv8Hn\nCGFuANq1KxaeHDGI7LFgFy0b2bEDmJqK7akrzDn25ATfJsTA214e0U0JoXc/vA5IbrvwOvtNPNPS\nVD1swhcWS7xZQC/ZHNYXZn+UPI3DF1GnpKmYkOOLYZd5W9w+cGB4zfAGLLxrGyRxzE2evNgRJbI5\ny2ujZI76Tf2mfg++nfo9a8s49Jt0n9YnsjlvC41GdIcRwmik0BsJWro0XpqU88KExYuLoObNQCxa\n1NwIak6ZqSngl78Eli/3j9PEUqCcEd2pqUIIvWDXlBD2enHwtTKj9oXXNiYmZt/s6o3oekKYahtR\nu8gRwiaWAtl9jjpJub6oO7oeLTlN3bM6vrD9U8cely+sU5Lji7qdklH6YvHiIp7u39+8ZkT3cenS\nIuk5dMhP7KIlweXkyWujMzP5M7KezdHSYuo39Zv6/V6o3+3Rb9J9Wp/Iln/PZWqqEBtP+FWr9+/1\nim1eh2dmJj1S6Nlmo7WpDlHZvqiBTU7GwmPi1NRshxfozR7vXBakcuzJ6SB7Nudee1OjiG3xhVf/\ner1CBIH010uk9i1/nhrRHbZd2P5t9EUkqJH4l39X2ZGKUxajvFkvK1eFLc+s8gd9UW2HpxmLFxf+\nSM2qRppRxxcWE7yXYR04UNiQetGLJbLT0+k2OjVVbI9mf3Nf9uQtLS7/rrKD+k39pn4fCfW7YFya\nQbpPqxNZE+vU1zVYY4wadGpEF4gDTaoReQ1epLmRvV4P2L69mQaf8yxBNPJpAchbCrR8eVGm7kha\nr5cf7Dx7JieBnTub65R45xqXLzyxSnWE5+7rjeiWy1Xt683kpPa1Y+e0i6Z8sX17M52kHF94s2Sp\n7Xa/hvFF+fOq+zAuX1g7jWLC9u3NjK6PyhdAkRwB1W0oVzOGSWR7vThGRbMl5eMsW5bWzeXLC7/b\nM5NV2Gxrzoxsaik29Zv6Tf2u3k79bo9+k+7T6kQ2wip4KlB6ncSog2jHHHbkasWKWAxs6YTXUG1U\nMxKe6Di9XrGEJ2rwO3cCK1f69uze3YwQ5naQIyGMrn3FirgTPYgvPHtyfZEjzJ4vovrnkZs8VYls\n29rFuHyxY8fwvrB7VWVrbqck1WH3ErNx+mLnzvrtNDdGjcoXwGwim7LPO7Yds+oam/DF0qX5vog6\niDt35s3KTUwUCW/KHvsqJO9Ynq0A9Zv6Tf0eBOr3LE3oN+k+nUhkU52LqFOSI4SpZU1ep6R87FQH\nc8UK4PDhuIG9+24sPGV7qrD74J1r5criXNESDKCwPTqXJ4S2vxeApqaK0Xzvumx/zx4rEwnh4cPx\nCOqhQ74v7P5GncRy2SpWriw6f3V8kSOEXgfUs9FrG7mzKJ4QLjRfeG24ji+AWR+nvorGs6spX9j1\nRZ3jctkq5tsXQF4iG2lG1X0wP6VmJ1es8JeYA83rRRQz333XX45nM67ecmiA+l22pwrqN/W7Cur3\nkWWraMIXpPt0OpGNRMIqblVDsGCQqtzRyJUJdyrY5IiBlRlXJxEAjjkmXSanwQ9ijxeAzA7PHts/\npxNQV5jt/tTtlIzLF97SJCOqm5EQVt2L1DGNaGnSQvSF1c2q/ev4AvATiDb5Iid5GqcvUramltoC\nsS9y6luKpvTCbPSOY9fotWXbFrX38vFSUL+p3ymo3+ljUL/zz1W3XZBuUyuRFZHPicgzInJIRC5w\nym0QkRdE5EUR+cbARiasjDolq1YVv6savAlZKhhEjSg1sm6UR6tTRM9rlfePRkejMtbgjz02Xca2\n1R1BtXvnHcd84wUg27+J2QXAv3azp26nZBBf2DmriHyRM6KZajdeuyh/7tmX6pyaryIhzKmHR4sv\nbGS8qtNitqV8FfnC65i0yReDdEpG6YuoA5UTi1P2RckTUMyqVWF1w7s/ZpunPdHMb5nDh+MyOcc5\ndMjfTv2mfqegfqePQf0+smwVTfiCdJ+6M7JbAVwD4CepAiKyCMCfA7gCwDkAviQiZw1ykpToRJ0S\nC7LRMogqIiGMHsg/eNDfDuSNdltQyhk994KCdaY9YbYGnzM6mtNpPf74dJmcEV3bP0cIU2U2b978\n/za/733p49i1e/Ycd1xsj22zslXYOTwxMFtTwdf29e5xqo5a0E+1C6srXuBPdYLN7tT15/gip1My\nTl/Y/mb75s2bj9ge+cJ7gZB99vbb1fuaj1JC7cWhNvnC2mnTvkgdI3We3OcyqzBfpGJETrKeajdW\np1JLZctEiSOQrk9lct7imZPIRlpH/Z4f/Z4bp4Du6TeQF6eo37OMUr9feWXzEeU8+9qq3+Too1Yi\nq6o/V9VtADxZuBDANlV9RVUPArgPwNWDnCcl3FEQNDHyxDgl+NHoetSZsNene+R0EnLetDYzU/z2\nxDln9N0Coye6OUJo5IxCe4EsRwgtoJ54YvX2ciLrBcSc4Gvn8MrYtpQ95TLeKGIUfD/wgeK3J4Qp\nP1rwT+1rnUOvHqTqkx3T7JtLji9yRnTn0xdzO4iRL3LaXmp5ph0z1UHLmZFN3aOmfHHCCUeerwrb\nP1UvyvvnLJ1NXbd14lKxMIo7XgIY+SInkU3F/EES2Zz6dOBAXCbnRTM5yVqU9FG/fUal38MmskYb\n9BvIi1PU71lGqd/btm0G0G39Jkcf43hG9kMAXiv9/3r/s2xSomONLtVgd+yIj50qYwKUakSpJWJG\n9NwQUHxPXcSePXGZnAbqvcTE2LcvLmPX7YmuJ1yG95IawzopOcugvE5ZznMd1inxAqud64MfTJdZ\nvbr47QmUBV1vFNHssCQhtT3VIbHvnKzChHDNmurt3mirkRKOSAjt85xOiSdOdpwzzkiXsW1e8pTT\nAbL78f73V2+3z1P3zfOzkaovp59e/E7dC6/NWttKxSI7phercpYiWsfJ86nVUy/psZiQk4RF8TUV\nn08+ufidilF796aPadeXOvbu3cVvL8GJ7M7RhJxYnvOGTu9ajenpuEx0TdRvH+o39XsubdXvnFnS\nruk36T5huBaRRwGU5UAAKIA/VtUfjcow4/jj04Hn2GOB++8HLrmkevupp8bHPvPM6m1nnw3cffds\nYJuLFwwB4LrrgNtu88tcf33xKnOPk07ytwPAunXAQw/5Zb797fh+nHsu8OqrfhkvwBvr1wO33+6X\n2bgROO00v4wJhSeWXpAzNmyIy1x+OXDttf6MSM4yMasvXmf2yiuBT37S78BEI7YmZql789xzaV9a\nJy11/889N20XAGzaBFx6afU2szclGh/5SPHb89uaNcAVVwAf/Wi6TI4QWtLiCfsZZwBXX1209xS2\n//r11dujmcRbbgEuuyx9fCB9reajVKfg3nvjjmeq07F0aXFcL5aJANdcA3z+8/45AGDt2rhM1Gm/\n4Qbgqqvi43zhC/72VCfzssuAO+9Mz6quWxfH9pQvNm4ELr7Y39eLeZ/9bBzvv/lN4OMf98sAwPnn\n+9tPP93vjALAXXfFye7llwMf+1h6O/Xb3w5QvyOo30cyn/ptA0NHk36T7iOaM9QXHUTkMQB/pKpP\nV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+wHP5eyLpnwfgeZ7rvwjgCZ7r78flz7IOyZ5ePHNmT20ZCW4Q2rPH8WjhqO1e\n0mpRxPFLLBzdF+2FFoEE2gQh/eB4G4ecvtjq10l2yxEGRG4bS3QT2nwcQd+E1ILjZQx69cPWJzdo\nb4Q2EIdBkDYs9VCqkz3pdE9tIXVZj5kZbIVBjAxqOkdCSD2OPDaP1l4Sh/ZAyL3Z87jYc9u0UAfl\nUIekN7k2xyBGRbZ+idhe35Gxd4fKp6WEbAvHAKlNyXtN6JfrMqou+bWiNrTQ56x9RF+ShvqZFwYx\njIz+opnRHdbo8pF9QVsja1r5oNKXdpL9wD6+na0D9ZprIzG6fGS/0PbIlljtj0GMwaADIYQcFfq/\nPoyq59rvTWrNqHok+2HvNrb39gHHaCPZN71tWFsfgxgkaSw8PTEW7ItbUBfzU6sPaQv6ryqMxh6O\nf4+o1z2w16/JkjkZ1V5GlYvoYR9eYtEDgxgbs+WLCDlg5oN9Rsi94bggS2gPhIzP3sfp3ttHSEs0\n44dBjINDJ0tmhza8D9iPZcyuv9nlJ3UYwQ5GkIGMB+2CtGZtY7S5OAxiEEKyoYMlNaAdkRJoP/ui\nV38ufx2ENkRaQLsie2FEP8kgBunCaIY/E6PqblS5SBtm7u8Zvqp3XiDMrGcfe2tPjKO0da/tHHX8\nbfm1Y+In1g/sIzIie7RLBjES7LHTCSFkJqx+eISfVeTccYsWR2T5ayRtWJ5OIO3o8Us8PfuQ9tIX\n6vuSrfWwdf1WRpY3R7bDBjFG7khCjsoIm0+SZtQnlktm+7lOQsg8WH4JiL/AFKdH4Gwvv3KztQ1s\nMfdv3eYj0EPHLeo4bBDDwpEH0JHbPhJH7YejtpvUgzbUliPod4agXU2O0NY9bzq37D/azv7r78mo\nX9s5Uh+MzCGDGDS+fhxt8dcS6rEftNvbmVUXs8o9OqO8v2Pr+skxmcHutvha0Oh6aeWzRm83acMe\n+n2EebyEQwYxejKzcZDtof3MA/uKALQDUs7INjSybHtm73rnu1jmhP1FamMJrDCIQQjZPXtfIGna\nt9e2kzbM/oTGypHaumdm8/WlL72dpZ1ke2YbG6QvI9iFVQYGMSqzl+8/zlImIXvlaJvI3lC37aGO\n/XBsEx+5NkFbitNKP9T73NAPx5nhhcQMYhQQGgD8DmIbjtRWUp+928/e29eDPeiw9mkcy68wlNZF\nSA1msb1Z5CT7gTZHZiJlrwxikCAjOrsRZSKEkJFgUIEQMiqtn4DzQWJfqIP9MFJfamRhEKMDoY4Y\n9SsbIxlrcKJCAAAgAElEQVTx3qGu2zLyz+hxobUdsU1+ia6oZ0LuzdbjouWmeeu2ET98/8M+YX/2\nZfSvlDCIMQDLzuUAnR9+z24bRtD5Hl/KFlsMziB/azjex6B3UJB93o+WC+kaQcuRbGGPc9BM+Gxi\nL6dOSF/Yt2kOF8SgUZRxZP3lfjec6MjZGMy6sZ5BRtKOnieEjmRrWz0QOJKOyf5I2e+R7XsGHzq6\nfHunRZCVfarjcEGM0ZjJUEeTtYc8o7V5RLbSEfumP5xk54F91RfquD7UaRv4lTk7I7Z7RJmOBvug\nnJJAIYMYHdF2Ep8g7YMR+3smap3MIPun9GkZ7WZ7Rn/iObJse6a23vfaj9bxM/p42xutdc2+JLOT\nY8MXDeQgEeho5uPcZ865jSWpj4gUtYv2TGoxuy1pxtJy4xBrb0oXe/RFLdjSprhJzKe17kZ8l8Xo\n7HkdNAvncWENVrHPyF7hSQwjOQ6E1OcIeuVCqwzq7XaOrI9WbQ+Ve2RdaynV0d6f0I8mz5KZ1kBb\n11+Cb705c3v2wN7XZSPvcfau+1bkBL+2xCIngxgGRjeA0eUjZAtK3g2wtzE1a3tqLawsG4IZdTWb\nzDMtrHoxiz6O7ktTHK29uVBP4zDjVzJpP3OhfYmwtl/5dZIEJRM1B1cb9qhX6/sz9qgDcjvcJFyS\n+z3vknfS7FWXo7K1rdOv3s7MephZ9tpQF22YXa+1ghWz64HoGPlhA09iVGDr793uoQ5CCFlT0/fQ\nj+WztxMrWzPyopDUo1U/7y3otpd27IkR+qSHnxyhnUehha4ZxCiEAQxCCCFHhPMDGZH1Jn82Ow1t\n3nKegjNg1p6Z9DuTrFpy27RHXRyNZBBDRB7lufbwNuKQvUJnMR6zLvAIIX2gb7g31MmczNJvs8hJ\n5oE2NT6j9dEsX7PVnMT4TRH5ZyJyx+LaK1oJdHRGNJKaMGJKCKkJfYMN6qs91HE+Wyyet3yhYelJ\niRFsbYbTHlv3cUu0L7Im47P30/0aav86yesA/BSAnxaRDz3XkSEXOcEX4xBSB46f4zL6wjKXUb4m\nuNXL32q0n9+lJlr20I+ztqHXGN3zxnDWvif3ZjQ73VoeTf2aXydxzrlvE5H/D8CPiMhXA3ClApJ7\nM4MzKl3YOmcznRl0QsaAtnJctn4aumdKTs9Z/P068GGdK3qy1gntZw5G76PR5SOE7J+tgxcWNEEM\nAQDn3M+IyCcDeBmAj7CLRgBOUjlQZ0QLbeVY7K2/j96evbWf1KOWbbQIkNU6PTQ752De6EHII7IH\n+yLtmc1ONEGM//r8h3Pud0TkyQD+QjuR5qDm4mwro5nNWH3soQ3kdkZbELbeiMUWfEex79nbyUX7\nMdnzUfHZx2QJR277CJT402Ug5fy5N3u3H/ql4zD6/jQYxBCRr0wU9v+apdoYq1PzpR/1yRIH9jgc\ncUMzapt7vsyr5Ph8ad2l9Vnz09/cgroYg5b90LuPR/WnZ/Zs86PrPoX1JMSe+5K058j209pX8GuK\naWIv9nzg4t+zV58f2F40ouWoRn7Udu8Z9ik5Agxuk1EZwWZGkIH0h/0+NqP1Dzf5+8Ry4CB4EsM5\n93cXBX7O8vPM1Hha2uI0BgdimlDfjfjkRCsT+z3NTEcX9/A1Mx97esq9d2ILgBF9ZU32dHR8Jr/X\nkl4vliWklCOcVqyxJyJxjqrPnHZrfmIV4K+RkEHY4+CevU2jbnBn1+vojPbuEhLnKLo+SjsJiTF6\ncG1dzl7G7RECGT1pfdpi1NMcI8rUktz2aoMYZBJGfWcHIaOwZ5sPtW3PbR6NFouidZnsz9vpoQ/q\n/JIcPeTmObrO1y+pJKQGs9rTiHKPKJOPrfxI6zpjL/Z8HW6dwPgwEXnt+RYA55z7qKaSTUjui0NT\n13LlIPug5/fnZzp+W2O8kW2x2luNo+XWF9/lMoq9tWprzRfF1sw/ig8bpf+Pzgj9UFOGEdpTylEC\nsiP4otnWdaQto423UnliP7H6V4pKJt1p8fSP3GLLKCYnIhKDY/V2jjBeLH0+qn1sHQgpKYunnuZl\nr0EF61c0juAnezGSHZSwl3bMjHNuV+My58GR9iFl7MWeb1bXRu6hZCHU65gmmZcRv+e6pbPl16du\nMWvbtC/A7WlnLXQ5Sv+MIkcL9rTwI7fYs80ejT30pWbdPpIv4jqJbEHOKWnrnpjvxBgQOpD9sNcn\nPmtGmrDJPin5KklJ/tpsKQd10Ia9vqRwC/Y2Z/b8Omir9K3bMEI/lbC1T59df4TkEvs6CVFgnQhm\ndjYzy17Cud3OuaEmfnJvZh9jpB6t3jkUq09zfFtbVux6TtBwr+NilHbxaee9sfrjGl8v6jkH9OzD\n3HbVkrHE9+yJI4xbQtb0fF+jpS6exChgtCd8ucTkH7WNo8lTg63euVFS796emu2Z0fU7inwWnzeK\nzAADeD382JH1u4R6KKfWO1W27out6x+RrYPlqfwzM7v8W7LHh7DmIIaIvFBEvl1E/nwLgUanxgQz\ninGMIoeVWeXWMFPbRgtwjTzWfGwVtNoib09mb+NIMqQC3KPp2vp92lDe2rLskT22r3cgsPR0xUh9\nMJIsa0r91F4CxK197myMLntv+UbXh4+ckxjfCuCVAP67yrJ0Y8aOirHlEcNezCavlb23T0vJJqQ2\nW2+CrGxdfwmtZM8td7ZTGLMzsi5nCzYSO+tNau8AW42v0ZA4PY/Dr9Nu2T+zrWOWaE4rzaTb2Zih\nfcl3YojIE5xzrzt/ds69BsBrAPzzloKNxKgduUV0uGRTUOPJ3dG/j0mOw8hPf0aV64zFV4zyVHPr\n+teUfsVi2QezB4VGlq0FR2pvy3VFyyDqSMwib2s5Z9EDUL6W78VMOi1lqzXfyGvNFJqTGN8mIq8W\nkS8TkTubS9SYnlHJ2Y63h6j91KCEGfVH8tm6v2d7ijHDUehUmVvIsXW/nRlFjiU+/WrnhF6LoxH1\nVsrWbdq6/r3Qagywf8ZkxH4Z7aQjSTPKw5XRSQYxnHMfD+ALATwKwC+KyEtE5NOaS3Ygah6NqmXw\newnA9KaXjtgX+2C2fpxNXh81ToX5yiR96X26o+aceDR7GSkYPJvuZ35KumdKT6r1qp+QWvR6IGHx\neap3Yjjn3gTg6wB8NYBPBPAtIvLrIvK52ZKSqaDD1MNABkkxW9/NJu+ao2yKLJP/SHLXZqtj4yNt\n1vdCDR2N/FBm69NsPFmbpsZ4n6WtxMae+nXrr33mlJ0MYojIR4nINwN4A4BPAvBXnXOPP/39zeYa\nSRV4RHdsHYyuO1KX3K9BzMRs8mrYqk0MdJax9WKrR/lbMWu7agWWrPW1PCkxa1/kMNrmaGT21p4Z\nOVIfjLxOSr7YE8A/BfBdAL7WOfe+80Xn3NtF5OvyxdsnM0XB98AR9XfENoewPglpvVDii2frM8pX\n7EZn/bXEWLuPohOSx2jvcGh9WmFv42Grucg6Hzvn7vFVo8+doa99j/C1NrINNe2W/Xo7Wn1oghif\nBeB9zrkbp4KvALifc+69zrkX54u4HbM/oZnV2HmqwQ+PJIaJbcaOposjM8Mil/RnRh8wo8wzMZN+\nGWjcB3xvSTuOpNcR2rrVeju3fM07MV4J4P6Lz3ecrk1NrePfIxjdmRZH2kdq35IR5RpRptaM1ubR\nx+iW7F0PozxdbbGgnXGRrH1COVK7RjotMDKjtnX5FQ9rnpL6elLzHSG99bVF2Tlt1JQ3EiPKVJPQ\nPFFzLOyVs+5y59rR9aMJYtzPOfee84fT33e0E2l8Ru7UEWUbUaaW1D5xMtpCvzV7XmyQtvTu85G/\nK7p3Rgla+erWbJyO1Iejfs12JJtpUc6sQZYZGE3vWjRyjzpee9e1R7Y4adEygKIJYvypiDxxUejH\nAHhfJP2uyRncPA5fjvU7iK1lmKnsEesN0eIJ9hHYQzv30IYZGPmp6x42laPVNRtb62aLIHrt0wIW\nRquzpjxb29Ko7E3HI8jQgr22K4b11IjmnRh/B8DLReTtAATAwwF8fr6I+6T20/eSvNoye0aSax37\nGv178TMGOo7oKPcI+/EWM/gKsm84Hi/ZYm3UsqyRKFnD7VUnMWqdat2z7kZu22iB7z3gGxMz+d5k\nEMM59xoR+QgAjztd+g3n3N1NpZqMZRR9T8eZR3QOI8rkg1+J6MNev2qz13aF2HLSPNLCtndwxxJQ\nP8opjBRnXTAIV8ZZh1vbVY2HSpY0hJxp4Uv2YoNbzzkkjKVfNCcxAODjAPy5U/onngbFi+yizUcP\nI59pIM0kay3ObW6xqNx6gVWrnBoTZempJO0isOaichZatKV3oC711HHLTd9yw1RjcZQ6ZWdpa65u\n9mT/pB5HsIuR2ljLp9SQA0AwMLS1fEt662uktrfkKO0k433NLEQyiCEiLwbwoQB+BcCN02UHYMog\nhmVBp/meYo7SYw52Tyc5Rqhvr4yix1Hk0GCRVTP2yVhsdXw615fveZFdGpDMzdeyj+kLbpFz2mk0\nRt2Il/gN2ml9Rtfn0dYqe2/nFu2z7olzaXHaTHMS42MBfKTj2cbDM5rzGE2eVhylnWtmbHdtmUfV\nwahyhcgJXlvzWWQpuT8So8g66oa0hNHlH12+ENox3evEXo7tzqr7rVieIml9Km19cmaPfdWrTXvU\nnYae7V6Oh3W9NW14eVrVdy90LVW35tdJfhWXL/MkSkqeJO0VxsDqUduxjMRo8sxEa90dqW/2ost1\nQKZV2aOxlWxH/branhipX2hLc3OEfjlCG1O00MEoXyNrTek3HTQnMf4TAK8XkVcDeP/5onPuKYq8\nu6NHhHVvRrsOYOytfbnMHqmfVW4rMx1Rn61PtJvs2NPTnK8J1U5LyskZD1udwCgdu6Pb1laL51B/\n1pZnBP23POHV4gQZyafVPN9y8zwyy/ZvLevW9e+F3AcumiDGN9jFOS4zHgMcUSbi52h9tZysRl+U\n1ZZxpL5uKUtsIWJdpFieXI6ySdPcXx6HrlXXXujZzp4naEb3d1ZGtcdRTzSOqi8fM8nail5zyta6\n7h043rq9PRnhBGjLr5RY69ag+YnVnxSRDwbw4c65V4rIHQCuZsi3OTkK6v20fJQBe15AjSIPIRpo\nr2Gom0tqBUxaUnMT22tDbKmnxrza8oRU6ffmR7GjVszYvllkrnEaqaS8nvA0M5mZmYLNW46JlnUn\n34khIl8K4PsBfMfp0iMA/ItmEnVgqyc3oQhXq/pawMmBHIU92vrMbSqVfauvHvSsa6RAzFGgvutS\n46s6lhNZI1HDx235Fast89cup3WZtdDY+16CRS3mt5KH26Q+Vt1qXuz5LAB/EcC7AcA59yYADzNL\nNgijGd9o8hAyCzlH41rUQcakdwB5JGZo72inMBgAasNoOt1iEzSaDkaAOtmGEYIAZA5m+AaCJojx\nfufcXYvKLgDMcX6mEtoo54jfsZ6lDo0MI8hBxsJnFzE74UklG3sed1u1a+bj3z5mk7cFR3v6Oxuz\nBRpGkqU1reaYlqcPRuifEWQ4MtT/GGiCGD8pIl8L4P4i8qkAXg7gR9qKNSYx57X19416ONajDtrc\ndtfU18i6H8XuZnj6vGR0+Wam9vfKtWUwQHEc9tbXWizt2qsOLPA04D7w9YNzbtOgRm5wbk82VUP/\ne9JHLWY4hQHoghhfA+D3AbwOwN8A8AoAX1dU68FYH2seZcD0NNLa7R5Fh63pddLmSJPACEGXPZza\nGqnPt5ZlhAl/ax2syQ0+5pYfOpU10pxL+jND37cKDKVOKs6gm1JatvEI+iP7YRZ7tczZml8nuQng\nO0//yIrRFpV73qj4GGFD6sszyxuLSxnlGOiWX+laymDt99HH15IZN4M5Mo/SxrM9WZ6k9fY9o+iq\nB0dpa4txfhTdWZhJJ8v5dSa5t8IXKDrrrsQ/j7DO2ROj6LHng+6SPeso+lqSDGKIyG/C8w4M59xj\nmki0M0aPAscWwy0i9jWf+PccUK3qGvWpfQ41NlCjnlo6OjE/Qez0OuLrG5OzBnWs1Hy6fRSdkUt6\nn1ItyT8aI8m0DiD00DcDPnXZclPfMm+qrN72M+IJLY0cySAGgI9d/H0/AE8F8NBMmTZnlM4hpISa\nQaXzJmePY+MoC4q9t09D7Nh0aVkjURKYqHlSQ7ug1wbKa8mQW+7IfU70zOoLe26Ql/lbbsSs6Wbp\nt5KgZq3TGDn5ZhsbM8k6K1ab6PVAV1tP8p0Yzrk/XPx7m3Pu+QA+K0vKA9B70PV4ojeKIxlFDg2j\nRo5HppUt71VfvWk5ebGPLmkZiBlZxzM8kR5Zf7XZ25gcYZE+O63XNLPovUXwpzUz2/9o8tRmtBMQ\nW8qQU7fm6yRPXHy8gsuTGZoTHMRD7WOrszDTJNWbkG56HTkvZUSZQswma80TNyOWtS43dk/79Krk\nSVVuvvVCpFUgeamD2NPMlK5mGgdaevpL30bGEjQqfWK9NSM8rLHma33q0Fd+6Ykg39Pz2icntnp/\nV68HPS1Oe+2V0tN1ZExm6jPr2NX8Osk/Xvx7HoCPAfB5SmFeICLvEJHXLq49RER+QkR+Q0R+XETu\nXNx7joi8SUTeICKftrj+RBF5rYi8UUSev7h+HxF56SnPz4nIozVylVIzEOHrsNGNbWv5Ro8Utl44\nj1TuiDLtgRnaP5KMoQ2kVcbW6Wvl7VHPFov/kWyqB7FA1JFpuWm3BJtq1Zm6Xhr06BUQqJGuNM8I\nZY9Eqv9zgrtH0d0MjL7faVGexadpvk7y5MW/T3XOfalz7jdUpQPfA+DTV9e+BsArnXOPA/AqAM85\nCf2RuAyOPB7AZwL4NrnVim8H8Ezn3GMBPFZEzmU+E8A7nXMfDuD5AL5RKZcazWAfKdLb+gnPaBNV\nT1oHMHo+SRyVkk1kyydWe2F0nbR6QprzVHxkXfVehKZ0NMqiuHT8lz6AOBItFqSWcmuW18rvaNLs\nwXZGb8NZz73WvaPrI5cR2rV3vztK0KL2fqRVuzRfJ/nK2H3n3D+J3PtpEfng1eXPBvCJp79fCODf\n4jKw8RQAL3XOXQfwWyLyJgBPEpE3A3igc+41pzwvAvA5AH78VNZzT9e/H8C3ptrTm5hRjGAkszqB\nvUz+Gs5t5c+25qVrLcco9BgTW+skJxiRU0fLjU9P31XqNzSypvpka5vRUkPO3k/590zLzUpNX1Gz\nPG1ZmrXjLA/Htgog9WIkWVowk49fM7rsPdcJpQ8qasoS+7xG83WSjwXwtwA84vTvbwJ4IoAHnv5Z\neZhz7h0A4Jz7XQAPO11/BIC3LNK9bVHnWxfX33q6dlse59wNAH8sIsP9ckrLhXfPoMfIg53ksfc+\nHemUFCmjNLAQW/i32MBuTai9o8l5ZlS51oR0OIv8M7C1flufHMkJDK7tTrPx0MpSO+BRGvgsrb8F\nIz6Fbl02OTa9bWu5HtP6Jc0LOh8J4InOuT85Ff4NAP4f59wX5Yt6GzUfL0dbfOPGDbzvfe8DANy8\neTOvggLnbEljYSYnNkqkPqf+VichrIuIUZ5c9DrWl7sx7UmvhewojCzbCJRuDFKbk9ansloEjGJp\nW84LW5xi63Fi6CjkPGw5/8vp99H6p8SXbHEao6Sc0XSfYmlrqSfILfui5vpxhj7otfbsTeu2zLI2\nfu9734v3ve99uH79Ou66665oWs1JjA8CsCzlrtO1XN4hIh8EACLycAC/d7r+NgCPWqR75Ola6Ppt\neUTkKoAHOefeGar46tWruP/974/73e9+uHIl3XTrU7reAYwRJrbe9Y78JHFNi2DVLG2vQe1NYA/9\njdw/lO1WXZpFp6WsGRhh7mlZf8nCVpu3hw6t644tmPFhhIYRn+Jbyq7l13owqlyljNSuFr5kS/80\nkm5rM3Lbap2O0pZzxx134GEPexge8pCH4D73uU80rSaI8SIArxaRbzidwvgFXL7LQovg9hMSPwzg\ni09/PwPADy2uP00uf3HkQwB8GIBXn75y8i4ReZJcauDpqzzPOP39VFy+KJQUMlKUc4YFXYySxfQM\nzCYvqUeLIF3runqc3Gl1CmM2tm7HVkEbzZy1tW5itAjMjdzerZlNN7PJW4Na67gj6q6UkYNytXxl\nj3VJrhyW+zXyWnWa/DqJc+7vi8iPAvj406X/3jn3y0phXgLgLwP4ABH5bVy+hPMfAni5iHwJgDfj\n9HOtzrnXi8jLALwewN0AvszdOgv4LADfC+B+AF7hnPux0/UXAHixXL4E9A8BPE0jl4XUQkTb6SMN\nvDU9nlqP3H4tNY/slbIHffqoFfGtUVZO3Xt9+eqM9hazhRnbs6SH/KPrqOXJR99Y7n1aaK++pCU9\nT4iMNAZ9pzFabkha0Ou0SouyR9PlkqUvGVlOH7PJW5ujt1+D5p0YAHAHgHc7575HRD5QRD7EOfeb\nqUzOuS8I3PqUQPrnAXie5/ovAniC5/r7cQqC9CQ3cNHCIEsjYzOdFNj7wm6mvljS8in53qm10Oyx\nkJq9f3z+mE/MyijZANaw2ZoPCUbfjPTmaLrIDYD00hNPd5VR+6HcVg+1lj7Psh62POCx7HFGCuaR\ndow6xya/TiIizwXw1QCec7p0DcD3VZWiIy2O/4wQ8Z51A1xKL922qif3SYs1f6zMkW2h5smMnDJH\n1o2Fo52qSp2gs6S31FeznNi/3HJ75auVf3Zmbb91/GwhR27+3vLn6jLHp7R8cNZiHTT7GmTLtUTu\nSbHa6bZmT3OUb4zVfEioKavnXic2/rVyaN6J8dcAPAXAnwKAc+7tyPtp1V2QewqjVvlHZMuFyGhP\nP2gf92brAFOr8msv8HLKST3pGWFD03LhPhvaTdMeddS7TbWCyTPScvPWMshYO21JHl/+0PhtZWuj\nlTWaPHtmD/oZ5eHDTGjXUcvrPea63Do0QYy7Tu+mcKfC/4xVuBEZxWiXBrLHAVV7AzaDbmaQcQ9Q\nz2Q2Wj4JCS0CRh0no8qVQrPRJGVsrcse9dd4wh96cpsa/yM9vW4RhI4FhbYMds5Ql/bhSu16S9i6\n/tZsYbNb6DQnYKIJYrxMRL4DwINF5EsBvBLAd+YKuTdaHa/Lzdv76NGWjC5fLVpOGqOdHLLaXY2n\nfDXzbPEUz1JWzdMYvXxfzsbfFxzeGos8o4zvmjL0rmvrjWhp3lHsNkRrv1gLi1+xBA8s9eeO+RId\nz2Zfo49XSxmt27J1YGZLRmhri3fzbWX/Mf/Uy85KytX8Osk3icinAng3gMcB+Hrn3L/KrnEyYovh\nUmc2wmBM0cvpa8uZ5cWeM/TtmZlkzSFnI5cbjKhln1sHQ1Ll9w7e5uq25yZ+hE1dTE8jBDTWzCRL\nzlOikrpmmeta0+KBSo1+PMs1wpP2LWWY4YFXbUZq89Z+fRQ9bEXL9o+k294BDG190SCGiFwF8Ern\n3JMBTB+4qP10a5Syai+mRho4s1F789n7yeJILNtbsoEdkZFlGwVrkLjUD9ZamLYIXJ/zacbBeQNc\n+iR2i6eJW20OauiKY7oepbpscaKiN702pyPoYOagnebh5gg61rD1nJCqczQ9aufardlavpanl6Jf\nJ3HO3QBwU0TuzCp9QFovNrROYMboXW65s/5GdU9ynuKOpM9WC5BUlNY3wY2klxgpX1TbV20dMB2V\n0CK098mKVhu3GsGd2uXWQLN52Iq9BzV6rF9KA36j2m2KkoCZdUzw6b2OkYKYpQ/KZtO9j5rtGUkf\nLWSp5U+3QFN38uskAN4D4HUi8q9w+oUSAHDOfUW+aPMywmJ1q7JrMLp8NZjpqUJNWUdoc+2NzRHs\ndQ9o7Hi50Ky5uLfayNZPs3qXrT09Yikzln9ZH8cvGX0RXppvVhtv7ZNm1UttfHPj6Kf0Rq17jzjn\nkg+ae50GW/6vrVMTxPiB0z+yIPUEVZtWcz+Wr3eE1VrHCBvbkcldrI/gyFssFGot3rYINnLh1BbN\nqZyZ9N/q5MTyeGvrgGpqDFrqtvTfSE9G98YedJdzGqN3m30bh5Jg3tYnT0a2mbNsyw1bbhmlaUbH\nsl85+4pW7d6DLypl9oBR6UOeVP5gEENEHu2c+23n3AtNEhwMy9M9X5paRpIz2Vmd1WjQwe2LmZ9a\n5ZRbO7jZeyz0rM+yIbZshLfyH1tvOKycddXilMOobc6BbQmXNYJuevr/Hk8vR9BpTUZtT68Hk60Y\nTZ4R2OP4qYnP5lvoK+Q7tfXF3onxLxYF/vMs6QYkd8NfUl+tslLlW+rIWehvfQrgqA7nqO22MuOk\nNMtTsh66LdnY1wjIlp7o0OTrHfhZfx4piFejrJptqtl3NWxh1CdwswRX1+M5tn4pkXGEMTXbvHdm\n9AdlwJj23uOBz0iE5uZZ20PuTW5fxoIYyxIfk1X65IQmPe0E3+LpbEnZW1Bbzi02qr0DUbPRso+3\n2hyNUo/VH9TcfGjqq81WC0af/ko2ET4/VaNtvYMgJYGldboWfiJHJkuZlms59cSeQo1Maxm3DvbV\nlMEahE3ZW+txlJPGKt9sfkFTZ4+5N8cfb/XwoXX5LdaIVlr4wdHHeqt6c+uPBTFc4O9DU2vx0rIO\nK70i/usnIiVsoaOaG8rade4FnwO3TtBb6X+UvuoZrBl1cabdCJS+L6JHoCEUIMkNeNe265xF5ihj\nBcifk9ftmzUg0YNZfHHPjVHOeqg02FpKyufm9lGrNiz1VaNvfW3M9Y8lMuSUq82nub8nnzZSW3r5\nHd/n0BjZIphr8Y2xF3v+ZyLybgAC4P6nv3H67JxzD0qWvgNqOSiNUeQ6pdz8uXly6hjJUfSgxcQ1\n+ktSR5SxdAPnK6NW2tq0DpBuOY5LFvxb0HPi37K8ddnWn9OusbkNlVPbVnIDaqG0mvJGnTdH2Tgv\n02zhH0bsH8vYO4/Z2rbYa/xbyy0Jbml8zBbBpZr1pPp6tHGfk5bcm61stUa9wSCGc+5qcek7IhaB\nXTuuko7q+cRi9oE/ovwlk+SMtF5stww49Chn6zpa0DuY0ftJ17rsUGDOYvupOaIVvsBCi0VvrXTL\n9CdvegoAACAASURBVKmgaGhT0doeaqRtHXBsSWu5tvYtLepP2cI6CGMJ3PSg5hq2V4AupfOaD1x6\nj+fSdVGtAN7WvmDrByvL/2uXvUUge63PLXRrbXfs6yS7pPSJSUm03+dIchd3vVjqoEaAZWa2WiCP\nqrfacuUs5GJlaa5p5GlBi8Bmb3lrB4y2nKxr1F8yN6zzt1681Q4M9Q4opBZaPRbXtTYCmmsjMoJf\nCtVXowxN4CG3vl55WpRVGpxbp+s1VmvrLzR/bLFO1K4dawRbZvZZtRkxiFir3Bbr+xZpY18n2S2j\nTAY1yqgdWPBFqGtHrXMoCSSV1nuuK0cHNTcjtTd76/Jyy+3RF74+2Hoh2JIWcpZuTGfR3ZqcMWYp\ne52v5Qb3TOqEwtb+WoNPZ703vCF5tPdmCzxr2cr/hOailgvqHpvoHKxfzVqmbaG/WWy6p5wpP7tF\ngN4nQ+35wDd+Zpl3luT0T+uAQivfpAnMtiJ3/aXJd7iTGFZqG3dOlPPoxAb1loveUkbYhI+uO8t4\nCdnGrDYywsTaGm0gTXNdE0gIPUFrsXDI7b9aG46a5WwZaM+tp/a47zl3b73pScnQM3Bd40HNVoGK\nlA5DPiqVR9M3M899tRih7aMFyUbQiQXrGKlR/laMJEuIVmuBXL/FIEZjtAufksmmxiTfotxlGTXa\nNsMAX1JjEzpCJL8HNTeOM+mq18aoxI5m0GeuDxv1CeVWc4GlrKP4Jg2tF9pHpeXYmuWBQM4T1Nls\nr/YDh9h8UDoHnv/WnsJoQevAxcj20zpYvWe066SWe8LaHCqI0fPpQeiaZsCNaChnRtgEbbV4rhGU\nqJ2nBjUCaDPKXptR5Agx6oa9tL7UBNzSRmdeqG7NeuzW3MD01IX26RLRUaP/Sh4etVivaP2YdY2h\nWW/G8lvqqlFOjfp6llGrnFH8kSVNKN+WvuwIfrRmMC9Ufuxza2r4uCWHCmIsqfmkq3TR3FKWvbDW\n6d7b6bu2dm41vn84gx5LZBzdQdcqKyd9DWr0Ta4eYov19VgZTZe1nxRa69m6/B6B7d5tj22Ma5Q/\nM6O3ZevNmQZrsKy2PbZmBhm1jKR7y9p5BHl9+ILdtYKdJeXMNl9b8O01WgdWcvr2cC/2FOn700qp\nRVXpIrDWBi9no1BaZ07eLV4cVDNo4Cu79aLXIneOjrfayIQ2rrXKr1XGaNS257WOcsstDeqUjiPr\nE4qWG+bzONT45VBeX/qt7LlWcC8VuMol13YsMrQKxLeYn7R9UKvMmvTeVLScZ3zrg5oyWeb7ljaR\n8ncjsA6K9wyYxmTasv6QHLO94BMYU/aaewOLT6gpR2vbPORJDKtSe23wS8upsQhrSYu6tnbePnq1\nc8S2l7BeJLQsX5t+T9Tc5O3pCUSt4EfJIqEU3wa59ebKmj+1CZppvJVuJGdpa2n/t5YjlS4V6A6V\nranP+ktZWl1aAmHafDlyxdK3rL9FQLh2gFuTttUYGWGv0aKcrcont2gx9lpzyCCGBd8irHegYes6\namwuW+hsRl3m1D/qJNHjaUTLjVjN/NYxkurX2uNsazveklqL9NEJ2V+rRfVIQZvWMiw3QjPaxpb0\n8L+pPKEgbK5sNV7q2CPQOLKtbiFbLX2nyum5NtUEtloHilqhWV9usSdpWVbLMkeqr1b9hwti1I4+\n9lowhmRoWU9okzrr5NOjTstiN6XPnm3u+aRCK8fWTjWHnA1zT0abuC2b0Jr+LlTelguiXn1Tc4NV\nIxBXS+elNtLTD2uDmFvOeyNs1HLQbO5a1NeL2GbVkn70IEcJPcfsFnq01Nd6j9CTkey1Z6BqL/Vo\nsMpyqCBGjU2aZQLZwgC3WHD1Lqd2WVtinYzWi48RdFA7MFiTkfRkZWQbr6nXlgvqEQJzvjJbLYhH\nsZdc+xhB/lG+Ez2CLmrRI8g32jxUEggMBVhrBA1r5VuXUVpOy3VsaXCzpmyzj+ut1yW1g/1b94c1\nKNkSq88pKdt3PWfdcLgXewLh0xOl5VjLryWHpuxWL9vTpJ8tEuzrl9j3X2svemsv/EPynh1Uify1\nnwjEFnStXkRZkick0zl96AWLoTK1vsJXb6ndpNpSu9xcfLr1BfjWeSwTcs5mIRVkrBGciNnT8tr6\nJXmpxUHNMaHNE+oP67sGfOk0Y8tXj6W/Svu2hi1a0mlsx3ev5ZzeYlNeIkeur7P2kWWNWHuOTeWr\nbZexvDE9WOfcUB3a+9YXoMeupeab1uvzEnuqYXMWX5RqQ+9Ag6VvctalVrus0fb1eLP2mXb9pOlL\nX7qSNh7qJIaVGgq3Lo56TVqauno6jpgMI8ihIXchVFrfnslx+DUWhDl9mWursU13SRk5aWJ5t7S3\nmpvEdbChRtu0iwJtXaF0Of66dB6rtXAprSeV3uILcrBs9CzzPbmdZb/VDhKULsZzsGxmreO+5gan\nRvqac2AuqbFXqy7rmr72WN9qkx+TpXe5rXRroaXtthjfWt9Xy+fkzv/a9jOIkcC6WMnp4BrGqv0d\nX41Tt0y6WrZ2sr3YegI/Eq0XKz36pedielZ6jalRfdsWG5XW5eYGVNbpY5vVUpm09873cxdhLTda\nObTYGJSUlZtXe/Kk1BZzqRUMWKe15rVQ0xelxnCNOmJ/16Kn/Yy4aS/xudb6Rmj/Uo7aZbbEsqdr\nGSDLnSdDHC6IUTrgSifjmMNrFXmrlXZLtnZcW0z2sbJrLzBr2HWrPspxsrPYdYzcgGhLttwM1/S9\ny88lm4BYfRo5apbtuxdqZ41Nfuk802outpab247WC+pRfZi1zbm2VsMu1l+rakFpMCK1qc+Vo/ea\naa/rTt81a1u3Xg9afHfMDnsGbEKMZDstNvhbzCkp39NzX2rVweGCGCXUXhS1mLRK8uemqVlfaxlK\n0A6sXvK2cqCj0GKx3CoYNVKQqyapYFFp2aUb69C7QdabzfX90L1QOgslC4GegcASWWqNi1nGAVC+\nWa1RTy9G86U1A38am6xRX+9AYa4sOeualpudWvgCjrXL77H5S8mQm7Zk7mut23XZLebpWmxdfytq\n+qLQOEkFcDV1HvrFnrmLSsuA6j0Arc7UEpG1LASs8uXkj8lT62U75/5LvdynpA5LvtLA17oMX9vO\n9zU6bLHg1NanmTy19pLKm5um1cLd10cpG86RISWHhtyFVs4mKZV/bftWmbT1p3RprdsyJrVlWuTI\nTb8V1sVvbz1soccWdebasaXcmnLnjP+c8kvzaXxJzfpTeXM2tda5sXSesqax5rHMj765yKLf1Hpz\nXbbl5ZM5/Vx7PNYcJ6Vy1FrD1crfYm9lnQ/X+UJpaugu5Oe0/o8nMYxYHG+uI+01aeWWu/UCbpaF\nNKAf5LU2PTm0cJq1yVng9NBdqO5a6WtutGsv3Hv3f8n9GnVo8+banWaBoC3btwkq6f+STUHMt9Xc\nVIbKaLWITNXVakPZg5wFbys5cuq02kHLdZR1jWgZ2770I64VtOW0+CWrmn4lx7fXDgBYysqxja19\nT4oWNrj1GtjnJ2qv15blWu/XWl9Z16ma9IcLYvSefLVOJNdgezucksBM6aKuZrCoZv29KJlItWWW\nlFGDGguymouGVhugVPotJq8tKVlEaCbdlP+o3Q81N0yhMdFjQVo6L7W079qbg5w+Cy24avTNyOO1\nB6UBjOW6I1RWiX3XWhNo7C7k40o21bXnqhx91FzLbFFPqwBFbUI2P7LMZzR+ssSWa8zxLfVYcw2r\nnXNqBjIs/ZOj08MFMYDyiH4qfWoj1jKqVXPRGvq7tPwt84+IZTHbIpBRQgs5Wo4XrR2XTPSt08fK\nKdnwasr3/V2r3NJNnXZstGxHjn2l0tUgZ+NmSVMr0FHS3lB5Lef7HCy+ZQv/rt00WBamNfq1Jj3H\nvfa6ZqOZqmf5L/froBY5c8pM+elapzFqriN8/RHyW63W5rmU+Gbf9XX7RvRRLcuptRdK1bH8v2aZ\noXupPk+l09Sv8ZPWtfqhghi5m4vY5BIbzL77KeeWI6N28W4t13K9ByNNDBpKZesxGfZwyFpq68u6\n2C4l17/0ovZGYqTFS60Fa83FUcvNc87mY30ttaix1qepXyNPLb1Z5tUcP1G6kE+tHY5MrQ3n1qRs\nej1Hae3AutAPybVV+habtK3Qbv5iaXPrKtmEp2xuD32joXaf5JbRQ9+peiz725ZY6jrkiz1rU7tz\nexh0j4kvlL9W+yyL8Fr1bKG3cxm1vy+qqbNmuhZlHWWiDaFZ/MYWLKmyNZNeDZb2rQ2Y5ARWtD6o\ndRCk5QIypMsSG0il8f2tKTsnXyx9ywV4ykZ96VNypq7tiZz5ZD1ea23a1i86LCk3dn/9v2UOt2yA\nY36t1QY6N01rfJuvUn9qGcc1sPjclvWN0J8xctc267y1ZKlRhmZNtzW5ug75P5//0tZxqJMYgN2h\nt45K1S4zdxEZu146AdSixGH1okS+0AIktqgroUb+lv3QuvwW9ddMX+KretBrIZW6r13ka+9b9Ojb\nXG2xWbD67BZzTU1/UkMHpTKU1Fljztza95Xcn5HlWLb4/hZ+MBaI0MpmteVajLK2bllWSLe+sdtq\nnmy5H9HaTWtf1UOfJbSWpdYauKSc0n1XSR5N3sMFMYCyjUbNRUzMCfYi5ow1m+ot6Fl/6WJUsxi0\nLEpKZYqVuyWtHV1rrOPC2ueWclvRY+yXTLS5ZeT64Rab+NL6e20AtGOv19i0zGGaMraeY0bwaSlG\nlrG3n9oiIGCdb2rJERtrpeXOEMBYX9cEYbZeN9eylS2CCpq6RvZFNdhiX7iut9d621rPIYMYrem5\ncMudOHLy1ooI5qRf/p8rfy4li2FrPbH6W1BzcVNKLHBWKs/Wi4getA5g9KorVL9ls1ey+M8JRuXY\nqCXAafF7tRcbVt3H8oTS5sq05Vx7VH+y1YK6JE3OWNPUWWKDvq+0aMbZMt36b1+eWkGyVuOtRbmt\n50Jf4EK7sa+9ji6x/RJZtg7KlIy/mn3Qep7tQezrp73Q+DIfhwti1Ni4t9hk1aBGYCLkHEZYsNWa\njGvLUJLunFa7YByhH3pSe8Jvnbd2UGdEfAvoGmWWbppyNtvrvC3appVhLUtOeZqFVe58FdJtia7W\n+g4tZFKyadJbyiopY/RNo7bukvsjkbKTrYM1GnksfkmbVjt2e61va9l7TH+Wd9rEytPcb7VerTnn\n1srX0leNvAZu0Z+x4FhtrDbaQ/fWfefhghg5xCaFnA5v7egti/ZU+hoOpOYLKUNBlh603tBaAhkj\nOHLtZiOnzN55a5SXk75kM1pSdw5b2lyNhb1lg2yRKyfwoRnrvRcvrcvo4Sd8QRFLmTUX9pq0W2+g\nR6t7KUPOWEj51OW99UmIVP5YmbU3rKm1Zkg/rTbOPanlm2r6+pJ5usd6rfZ81itwtRdKdTCqDmvZ\nbs218ZpD/jpJzkJTOznENpyh9KWRtxKH3WIjujfOukkFY0o2M75+sC7itHLWpOXGZN1+X7tSAZ5Y\nmRZZZiBldzO2KUWLxaM2X8zvlmwmzuU654o3VMuyLDL4yu3JSJv7kF5jMqU2oaF8sesx+YD6DwvO\n/2v8rrY8TbqaG7JQ/ZoggS9fKH3oXslaTnPEO2ZDNTfy67JCNm+1waWcLdYt1jWUpVyL769d/7rc\n2K8+hP6V1hm7XqsvrXusnPJL9VHTX7W0keX/ObLUkC13ToxxqJMYOUZiHTChxY5vAtBMDBb5am/Q\nag+oGm0sKSeHVou1ZdqchUbvn1vditjGIbWxCG3orPW3tIEe5ZzLKp3sfeX1JLZ49v0fyhuzjRr+\naRRqblxy0ljnSWsfpObP3Lk1d36M+aOcOra2qxqbsdyNU866Rpu/xWI8lVYzFqx2l7NuCNVbw1fk\n1J26ViJP6do6p07f377Pterq3cZlnb3qXfdlSJacco+AdT7taccpOTT1HSqI0YLYAAulX6ctnbBz\n0CxO1+m2HPSpjUnLOnM3sTUWzls4kS2JbVJjeXLGYAtyNmC96LGp3QrtOKm5mW2hj9i8EFtgaCb+\n3DGi8b0l+q69gfJ9TUBTRo6sqcV1TC+pje3o9Ni8tKqrhn84p6+5kQqVpx1vvjyxOTVH9tI1Scru\na+q0pm/RBAx6Bku0feizndp90LPdsb9zyhwpENJyjaXp1y18bimHDGLUcLqaxcnaaFILUSu+hWsL\nx1NjI11rcNbWoaVeS7qcCSZlUy0dZmnZJcfVfXJp08U2eqHPteXITZ/KY+l37eRUW8aa+NqQs0Bb\n/63dKGjva9NbF7ohO7XKH8oTqztVjqaNOfNEaPz29CO+PJq2xnSc00ejUFv2kvGUM0et7Shll7lr\nKI291/DdOXktc0HLOdFSbs2yc3xmrCyrLz9z/kpgj/aF0uXapabeltSW3VpP7TyaMjXXWpPjC2Nl\npa6Vjo/DBTFqLk61HaSVpbQzZxhULR15C2KL9FDa2ovn1sy8mNaUEftszT86Fn9jLbfmwrA2mrG5\nlje0gc6t17pp19zPma9q9UnuZm55LcceczZVNWxTuxGI1aWxh5qLxFnQ9kcNm9Dk77FWWt7TbISX\n6UJjKmc9oklj7ZvS8RZqawv/1WqeCsl9/j/0LpnSeThUntbX1hhLKVutScvya+miVhkt9lw5cvSs\nNySHtv5DvthzjWWxpp0MLddrDyTf38sn5ZZB03Khqc27/LeMbOeWqalz/Vl7RLm0rdryl59bL9Bi\n1LTn2OKttD5N2da8wL1PoOQuClP3cstrZR+1J7scXYT8nmaBVeLzLXli9ef4UED/dYmlDD6/mdOH\nuTL7ZIr9b6mv1QIwlbd00ZfqO+tcUtPvx+rXyFbyzqYaG4NzOZprlvu10lvWkRp9pNZ/OTLlpK85\nL7SwgdK1oy+v9e9SLHNlTjk11tet1qA+n1urrp7r5i0IrYtK1iKWe8v72nWZRq5DncQILeBSebSL\nmdiEE3t7cAk1jLHHIqmWQ9/a0bRYFGjrbdH2VuXmEnJiKafXSjet0mvGg9VPtaDWgqm3HDFfn7Kx\nnMW8ZvJNbUisGxwLNRamvjLXZafq9uWPla2pvzTdWjexvuvNyHXWXEPVxLdI9/0fylNb3hr+PVRe\nSO7UeK9Rd2maFn4uJk+v9WuOv8uRp9aael2uNU3L8R2aM1u1XytTa0IPx0rRzNOaNUpOnam5NebX\nYhwqiFFC7QmuppH0IHcw1VwcjKqbUjSbgPXfLZxaSd/WoqTMZb7SoGFtPafqGa2sVPmt+t53rcT3\nWMuu5dtzF7K1Njxrn5tanNSo01pGaBOj6YtQ+0plTd23yJZbV632lJBrp63qbNm3OWsxiy2kfEGq\nnJCNp35WU0PN9ax2LZHSRYu+LvHvpf08G1q/uxWt1yEWOWrX7yuvxxpRO2fVWJvH9jMWP3LmcEGM\nko2a1cBKDEYrW0guaxmhe7UW+iVt3npyyFkU1HIKsQFfSq3yasujvR9Kv17c5U4KuXZeo/xcm2+1\nuejly0LXQrYaux7yX7G/a8gdShfajFjL0dSzTKvdcMXqyfl6QEzHNXyPdvxb62m9kFzXM+rGJzXm\nW8tduu7Q+K0ebYn5tlT91rVEaBNgnVu193LTptrVerzl2FLss6+eGQjJaumb1n6s1ly9LGPEPgrp\ntXb5pXNxrkwpW8udcw8XxAC228SkNleaMnxp1/lat69HnlA5voV5S0rbW3uRXrvNpYv1c/qS70CH\n6q852eSWU2tRlkvOeK453mJ11KjH8n4H7eSrHTe1bW2tmx6LOqtMvWVZ++xU3tw5LGYf1nJSaTT5\nRS7fQ1ISUNlyoZ3SR848YdFfKaE5OGUntecc39/ra5q6Wm0qc9qasonS9tSidR05vrX2WibmX9do\n12gj9mNs7b+Fj9zKL5eSWkNp/XSNupfXQz5aU9/hXux5XlyUTFS+jg+lsVwLDc6U89Es4GJGsk5b\na0O6rFc7scYWtqk0MbSbpZBMMZ1o7pfS02lr7E7Tj2uda+045UTP43eZxyKXltaTeMpZx5y+9rTJ\nUqfWPtPKU5Ocse1Lp213zN+E/GpsY5rqT9+CbH1/eX09V5WciFiPnZCcljLXcofK1S5gcmSItaeW\nb/DZQ26bS2UJpbXMUbGxbq3bV+7yutXeYjZhmZssNpprh6FxH1tfhWSw1hFLY81vlcF3z1qHbzyV\nzjGxvo/NB7Hxocm/lr/ENwA6Px8aY750qWuWOTbmB1v7opi9rNNaHhrnkrvGKJXBp8Oa5S/zaeZZ\nTTmxfJr5NQRPYhjTxiaEkLNIOdTSQRSqy5I3liYkq3YS0joPzQRpHby1yOkny8RgrbfEKa3L1rSt\npgza8lN1hGxv+X9OH+Q601S+kkmgFjXsxlpWyodq/tbqNuaDLRNoDtoFjWZC9/29/KzRh298W+eH\n0n7X6jV37kr1uwWrvDGZNPoO2fkMtJoLtflTY0ezLouVXXsd5cujaYPFd4bWaFa5c+fi2JjU+F8N\nWjtozbleTaAu1/eGyoj1sWbNofGZNfxpT3Ll1czFWl2n0mso9UWWstd1aGynpF7LOLDUd6ggRq5B\n5DqfnPo0k1uOXLH6elCyILYsLmNl1MC6mLKWZ8mf26aaCwbLIqnFpiI1acQ2FD02DqmJoaZPKlko\n5vZ1SnaLDWhkj7VbI592kaCxGwDRkw05bbXKZi0zVYaF1MKntDytzfr6qaYuNH6jVIYe1BiLueVp\nWI5ji5/MnStrLdxL/bjP11j7JjYPWsZpygdb/X0qTa6+c+rM6aNlf6TmmVIbTcmQm8bqV3PI1Wuv\nunP6TFNWT13m+lvL2q50XZGSIbT+8o0vrW4PFcQ403oAhYw81Um5i9OQEcTktU5IvolWS602hq5Z\n5Mnte61eaxIb2Ll9kaondD/2uTS9FZ8N+9qgWexp69KkSy1ycssuzbPMm9t3uRN+qNzU9ZgsOXWn\nxozGL2oXijEb0I7dmB2X2mTuoi8ln6bNFhlS9df2ybG+SfnhZR7rPFwqd4oS+8kpr3Su0q5lLOX4\nrofSldYbkyf2eX1dM8ZSbaslq/Z+Tr9p01vtLiRnLJ/v/xDan8Fs5fvW5Wnqt849qWs5Ptb32eIH\nLfVq7apGn5RSaxyU1B+6VuKTc31CTK4lh30nhjat5r5movTl8aUr6ewcQvWtvw+4ri9mZD4dh8rx\n5Q/la7GwsKBdmFrKs9ZRq76aOrU4HGu5moVebPERW8jWlj1kqzHfoLX9UmouOGrkt/pWzcLU6ktj\n5ebqPXch4rve0jYsMsb8dqovLHNti7kvR0ca2wyNaYtfXab1nejZer6rScmcllpL+f4urU9DaI1k\nqVe7TgxdW5bRcj0Rs+31eE/NfbG8KTksxObdknJCZVvLsNabmv+Wf8cCLBYfpZGrNTXWZaX3YvN1\n6fqh1TxmqT9XR5Y6UvX75lBN3YcKYpQulFKDP7S4CZWpNd71iwxD9cbqD72Mbl2uZeGZkrsmIUeR\nq0PLSyctE1bOYiZnAsx1mKlyU2litr/+vF7QpOoM2a+2zuU133goGfstsNiRxQZ89r38u9Te1uXU\n1FMLncf8omZhHrofS59Kt/ycCviG2uQrf33v/C/3PULaPs5ZDKb6IFZ2bJwvr2sJ+YuYHFa5W/pp\nbTqrX9GynltL1hHadZRFJu19rU1qZIuVm8qX8q+pvNr0sfs1daFJa5mntGMzJleqzWuf6fMRsZd/\ntprLlvWl2pG6HxunmnlTU7/vnm89rrFB6/2YDKVlnPPU7OfUPBTrj9ieRjOWfX7HqptzOl+A1zI2\nLHo95NdJALuzDXWmz+BSzjl2L1euUJmllDrl2IRcYyIK1VmL3Ik75Yx8aWP3fP1Qo52h/tX0Rc1J\nWzOGUteX962/shGbHCx2l/IVGlk092L1W+9pyl2WobFpTXlr2UI+wjqGNDZt7ScNpb47pufaMuT4\ntdzFyDJP7H4pVr3lpIvZjNZHx+SsqQ9fuaHPqfTre7l+McffhfxCqr5ceXLHXayvU3lCYytkZ5q0\n6/ZY5tRQGTFybLfE14XqsswnuXVqbTnX9nPmJI0NxMoqGae1/VWo7NCY8cmg+Vx7rq3Rj2v5tHVr\nytPes/ij0rqXaTTz55rDBjG0aBcrvjyxSSjmVHIWB6H6tOXEyg+ltdQXm1Q0svjKqj3IY2WUTvi5\ncmomnFbUWtxY6mu14AiVv/zfl7c21rFqnfRqlaWpq9YY04wt62SpXaiF6i/xbZYJOCR3zGZj8qb0\naZXP6mO14ysmn5ZU+7V5Y9dCdWnkPd+z/iRv6XyuJSW7Vh+ldVnzh/yEdmz78pTIpbF5jW9LjetQ\nnTXk1qYP5dP6rXX6Vmh9jqU8je8MzQUWWTWfLbrM8XXaMnPnOy2pfkzZY6ycWvKsr1v7c30v5Ltq\ntMniC0P1W/vbOgas5R8qiKFd4PjyLf+PlauZrNb5UuljE0SuYYVk8t3P1Zu2Dk39vrIszkv7f0iG\nVJqU3BaZY/WW9kWontikoNFpLZlKy4nZSsnYz02Xs4g5X7PYXWrCscgTk1GzgNCUEytznV7jo2L/\n+9Kn7MGic42cOfNCqPyUb0n5yNh1nxw55Wh8Qw2/sdZVzrjx/R9LqylbM+5SddXy8Tlj1No+3z2t\nT/LVbe3HmHyx8ZVKk1NfqB5tHdoxE7N9rZwWO9WUbZWhtJ+1cpTMg9a8NezXimX+iY1HbdssdYfk\nSF0PzX2x/Fa/m+NnNXNxDj65NH0U6k+fH9boP5bPOo9Z0mhlXXOod2JYCU3A2glyeU/zEqicidO6\nSFjn19xPtdlShtZxphxlrwkiR7cWB6dxLr6213SeWlm18pXKYFkEWO1oWY+m7BxbT5VrKa/mBJnb\nFt+1VhN3bvmxhYmv7SFbW5a1vJf6epJmHFhsbp3G8oLM8/eLNQuWlKyh9Jp5J6Y3yxjPIddfL2XT\n5gt9juXT+qqapOzYlz50vYY/sd6PrUNC86N23Oa+M0aDRVc+vxTTt8bnpNYPoXJ974RYfs4hnRUx\nOwAAIABJREFU1mcl71AJvVdo3c6SOVXTF76063ux8lOfrX2g9TUx2VNltvRbqXmmlh+q0YaYTnJl\nLLHXUNmhvg7ZW8m40fin9d/WcXPYIIZloRJb3GgmA2vnr8uMvdgz5FC0gyhlLDlOU3PNWkYqndVR\nLz+vdewrZzlRagZljkPLcRY59hVbnPjKD33WTOqlbxzX6jo1BtfpasqxTpdKq5E79Tm1aAv5jJR8\nGttY93mqvdqNROi+5tr6Xsouc+pN1e2rN2dsrf3SOq1Pfl//p8rW2mpMj6l2afShuaetwzKmUvd8\nPjxVdsmYTrWnBbHxEZNxmTbl431t0PpIK+u6YnVbfLUmjcbfhsZr7Hpq7GvbEpI9FmjUtDfUNm39\nPv3E6k8FO0L68aXzlbvMG/qVD0u/WvyahpTONPqJpbfIlvKLsTzLYLtm/b38WzPGYu3RzBdnrOND\ng2ZsaezG8lnT1pCdp2xa81kztn3tT+n5UF8nAfKd/bqM5f/razHj00xSVjks+bQDw+c4csouuZ/r\nfKyfSwnpSitHbLIL1VVixzFbTMnqKyNUrlUm7eQfm8BDcljGikaOlFypOq197bu3/jtWZqnfC9lI\nLb8Qs0GNjaYmPY1NWX1xzbG4/lwyJ8Ts3iJrzjhY5099ruEzQvJaSY210P/rdLGyfGlz7luxjluN\n/BZdWcqM2UlKZt/fmnw5/jmWPjYOQ3lr+h7f/dhY0dYdq8tCbC7Rjh1Nv2n7ICVnrBzLOKnxy3+x\nulIyaObI1H2tP6yBxU9qbKG2DCXzzZLYL+HE/GyOjCk7sczJpeM+Vaam/EOdxLAanM+YUk4yNFH4\n7p+vhcpLyeW77iszVZb2s68dJUYskneEsHRistZjneAt8q3zpOqq5TRDdeT0idXhWuXR1pmarEP6\njdVhRTMufT/LlotlIaH1LZonDznjfv13yG58Mlj9YsxX5+o9Nh5D7QrlTdnJWgcaWX3jIXRfW56v\njZoxrhlboTG8HB/Wn772lVnrJ8NjeojZVkw3MbtoObfFSNmHds5I2Uxu/bE6tWliY0HjS33pU/e1\nOk35x1gbtDboS5saq6HPa0Knx873LGPFgsVmQ2m0Pzfqa4PF/6fkAO69sQ19JT02HkN2FZNpncd3\nSsJiD7nE5p/1tZI6tP7GIvNa/9av8dVs4zJ/jk/T+AhtmSE/5JNTW9fhTmKcyXEqlvwxowl1VA1H\nUNqupVy5E6OmzFD61ESkmXBzyNWbT37rJJY76eU4ldTE4EurkTvVHzn9oik7ZKuxui2TltUutDq0\ntE0rm8bGUvJbysmxUauNheRKjbvQJKyRU6tzEcGVK1eC6XNt3ve3RmaNvWhlSvl+jcy5viknba6+\nl3lz5p6YbnPnqZA/S5WZKj82FmN2E5NRMza1ssXkjI1PS95UO7RtiMnvK1tTv8WGUr5nXbZWtlw9\nWMefr0+143AtV2i8pOaEVLmh8mNy+dqX65dCZYfkS/V16HOq3pg9WX1Rzt8p3WvkSI0TbT6Lj8/B\n4rtieUP3NeMr5aus+OwoVp61nsMFMXKcbSi/z0mG7qfyhupLyVXDQVonKq0jt97XUsOpWevTOjOR\nW4uLmOMM1RGrp3RijC0ANDYYczgh+w/VGyo/VEYqnS+tpt9CcljkXtdlXSRo5MiRyUKq/JCuS+RI\n+cJY2lS5MXlTY8xX1rqM0D1fHRZ7iM0hKR+h1aPWh2jqjF2zyGH1l6HyS32kr9yQPaV8k6ae5f+h\n+6HP2nJT5cTsOlS+1hfk2FusDq1MqbSxMi12o7EDrZ8PlZtTvtY/W8d3ybgKyW3Vk6ZtFv+b8u8+\neUNtCeU73y89FRbrr5SvXcpuLT9WV6puX72W6zFfkDNvWNOV2LsW7bvIcuSK+YqU3a7lCY2DWN3a\ntCG5UxwqiGF1wClnVUOGmDMK3Us53RrEHPZatpST8ZVrlWNdl3VQlDgAyz2rrcQmyVS9JX2dU2+s\njJSsuTJaZYjZi9aJW2VIpbeMj1h5ORNQTA5Nub78Vjv11W31raH7lq/mhPQVK9+X1yd/6G+rLyz1\n4SF91vJLMdsokdVXfszOUu1b3qvxixy+OnLaommb736uX0rlS9l1bj3W++u0Fh+ZQ6qdNdsTSx+z\n25SvjY3R1Lj11Wu1UV9ZoXsa2VNl+WTT1KO5lsKn03V5Wt+VqseaRuuXc8d2SK6YTrRlaOoI1Zmr\nY18dqbqt9h0rSyNLbFyW1pOa43xprHKEytb0mbWuQ70T44zFOGLGHTK4kFMOTTaA/3uEy8+p76lr\nBpwvb2oSjE1uqbI11zSk9OzT+Xpzo/kcmwjWv/YQ+r7iuq0+uSwT4fJfKm8J67b52uRLv5Z1+dmn\no9RkG5qglnljYyU1Fn2yhuSx6lhTpu97raExFpJzXU6s/tB4Scnn+7zMa9FNyJbW7df+HKevDF95\noTJi7U+l8/Whz1Y0daxlDrG+l+ojX32hOrTjIJY3ZXc+WXLkCJUf6g/LGA7ZjFWmWJla/5PSq/ZX\nsmJ2ohnrqXb5xu3az/v8nPaXCDTXQ+lC/R7qD189mjpjvtVig7F6U2XGZNKMW1//5rxLREvMN2j8\nVcqOfe1LjW+f3WrWGZpTtzm+JYVl/PhsK5Vf20e+8n1lpnxEqk9D+Po65/0TqXrWeXLf5adNo/Er\nsT3Nukzt2PLJ4CtneS3mz0NyhGQL2VWMQ53EAOzOw6fk1ISjnUS0n2Nypa5pygmVnSo/x+hiOok5\n2tDEUToZaGTVOrocmWKOKiRHKJ21Pm3+WJ6UrVtli3323SvRd+hazA4t8oTqin0OlampPyVraR+l\n7DSWJyRDjv+IlaNtf6heqy1r/Nn6Wsy/purR+GZfWosfS5EqW9OeWHkWOWLXc3xj6p5PztRLaEN6\nSaUJtaPUz6ao7UtK/E7sJy5j9fjaEPLRvvI0fihWRki+UNtS41o7pjX3YzKVjuG1HL77ofK1PkAj\nU03f5EsfKj/04tIe4yXlD2N1pewkVF6N+SRHtthYXuf3ffaVE5Nh+TmVxnffQk9/H9KR1hZK617X\nGerzGIcKYmgnm+W9lBFrHFUo/9r5hWSMyaWdLGL1a/7VwDqp+e5duXLFW1YNeTTp1tdKnFfIoS7v\nW/rB2nfrNuQ629SkEhp3uTa8rt9X3vpaSDZN27TUnKxSjjzVdo1sPvv31ec7ARTSs9VfaPs/1bZQ\n/T6/GtJFqJzY/xr5NfqJ2VvMP8QItSlnDKT8UyivpuxQfb77MT2Gxrq2fWdSpyJ9n2N9rvkcap+l\nj0Pty/2cqnOdT2PDIRlDZYbSrtPE8qZ8VcyuU+MnpX/N9Zgd+WTyPf1fynS+v3zxp3YspNJo7FZD\nSo9auUNptH3kq0vzv3acWsZx7JpPNxp846tE5lD/a+7l/B+rO+Y7YjryjffY5xixekO+JVaW1q40\nsvjK1pSR6n9f+TXKtdjokkMFMYC0s4jdCyl6nT41uLQOzerArYYVypOaVLROQKNrjcM5/1tPziH5\nNGjTW9P5PsfkTA3akGMLTRa5bYhNPDFy7C+UTjsZhepM6Tk1/nJt01eGdaL05bOMNd+9mLy5k5G2\nTo3c1gkrpKOULL76YjKufYxWplSbl+k0402ro1RZGru39mPIF4X+Dn32lRVrl68s33Fy7VhP2U/M\nJ8fKDZWXyp+SRfM51/dY5dOmSdl7iTyhMRKz/5jNWtrmq9Nib75yfDqItS+kq9Rp1VgZFjk1lPSn\n73+NjBpZLe0I2VNIx1q78MntKycls7YM67gO+cnY+NHUYyE2Pkt9lVW/OfJaytLYlqb+9f/aMR6q\n2zIuNbKF6tTIvYbvxFhc037/O9a5sU4KybJOu74eKi9lbClCejj/W/+EV2ywaycUrdOJyarVZapM\nLT7bSMmZSrP+P9T3ufpKpYnpMPR9xFgft5y0YuliMmrv+8oM5Q+l09rlutyYz9CWsy5LY5cxUr5H\nW57G5lLlaCZMn1yadOvrIZ8aqzd1z1e/tZ9y/EHo9IyvvHU+bZ25fimlS4udhsarZTz68qR8/jmt\nz1dax4avrpT9WX1NTjm+NvpkS6EdT8vruT5MO75ifRWTQSOPrw6LzD7ZQvfX5afa76s7dfJIW46m\nn0N+JTV2cz6n+rjkvQa+PtO0LVRe6HNKjpBssXdKWMbROn+sfy0+QUtI9pC9WP3SutxQvbGyteNj\n/Tk0v+SOAS2+dmrff2fV8zpvbH1h9V1nDhXESCknNSGFDD02sFLXU4Ml9rfGcWqJlZOSZ22YmheP\nWWVL6XKd3vIiz/XnUL3Lf5qXVmocV0q/oXb7dBRC+yKskKw+HcZkXOYP6dii62XeWDnra6HxEevD\nWFka1n0VqiNlt2t5U+l8cvjk8cmnkdeni5gPs75EMNSfsYBarD9DcsZ0mmrTUqaYH4qNiZhtp+o5\n6zXV7mVda72l8MkbKjum01TdIb356o2Ndatc6/Ta8ahpp6a/Y+2MlbmUIzQmSl7kubS30NhYX/PZ\nb8hutT4mpJeUDcfsPaT3mK1b7TeWLlVmzC/E7ofalGNza3k0GyxN3Zq1oa+skCyazxY/ELNbn68N\n6fxM7KW263bnErKfULvWssZk8LU19RJxXztTPsH62Sebr60+36h98bUvj+/z+e/YelZDbPys5fNd\ns+xpQjZskWWd1ldPrJ3L8n3t047ZNYf8OklMqaG0sQG8zhMry+ewQ44i1oZ1/lT9qXLWcq5PYfjy\nWQm1PeacUvdzseYN6bnEiS3LTTmV0PF2i72EZK8td0g3qXrXdpdyoqkxpW2rxqHHdBD6HCs7lV5r\nbxZZfek0fRR7WVmIkN597c/1Y6F8IbuI5Qvl1egqVubyniWdL21pe0KkxvHymqV8S5mhMa0Zv2v7\n9MkXI1aHxsfE8qTqDOXR6FWjy5z/l/VrZbeW7ytT4zOWaWN97jtFqrHz0N8heVNyW+zYJ0+srFTb\nYvlC7U6NR43sVtsP5a9hv6m6tOWd8QWW1vfWZVh14tODxuZTNqApP9T+dXtS9eb2Xcz+Yu0N1e/T\ng7YNMSwnCmLjzidfqN25hMqM+ZF12lCA2yJDzEZK+uVwJzHO/2uMPpQvpvB1WT4j9v3vSx8aID5Z\nQmUujdDX1lRdvrSxv1P3QteW92JPZmI6Dz2JjdXpy+/ThW8QW2zGdz82qGNtBS77U/syWM0pk1Q7\nQuXHbKXWSYxzG0J1+z5rbUbb1pQjDdUda2uo3Jif8ckU00OsDes+SbV1WW7sO9epJze+e+sxFnp6\nEmqr5npIr6F7VvlT+XL6de13NON2nfbsK5Z69eXX2kxMX74xZ9FDTIfaMRhrm+Zn6EJlx16UqLG1\nmD35yoql9d3XngZMfdba2Hrcnq9rfUrINtZtWtYXQqNrX9/4yo6NzSWhd3Ot2x+zx5SdxNoYy68p\nz1d+6HNqrJ//xb6C7Pu81k+s7TVk9aU9/x86lRjqv5h+Y30EhNfjGtbl+PojJkesTt9YiaVbp/X5\nopSP0Og+JI/GvmN9FMtjSWvtw1h+q+0uP2tPufn6LJROOyZDMvn6L+W/YrKtOfRJDIvxhzo0x5mG\nytQOtpiBaZx1rPwc5+y7t67TaqCpvOt7oXamZEzpwidDqDxte9bXrYM8JXeqTSm7SOnQJ7t2TKVI\n9VVKPxq5U/WkxnxM9lS5lrHma++6nNSYsthRqI7YSQxLOVbZY4TkiMmZslNNGy32FOtrrS+JtTEm\nTyivllhejQ2s27C+FpLdKnNoo6Htv/+fvbfnkW3bsoTmzo+T3+fcZ1BFFeChRiAhAUY5OG2gRjiA\nhQkIPPgDtInVwgJhgJAwaKSWUDvQbbToAuEidYMQGI2aNmikfuoq6kPv3XcyMjMiIwPj3LFzxMgx\n55o7Iu+7qPJNKZS5Y++91lxzzTnmx1p7xzG2k12/5LuR/DLZZ21V142OR31XY8qokuvono7dZfd1\nbE/bfQ/86fA0snF8qsdJsj668hiNqxrnyG6zX09ZglWjuVzKbxdPHF8jXjvnR9iRfVeNy2HfEj10\n57mNjp6N+j2GKrtxslU+Ojr4nvqm/bvxZN+N+s/G69od6WRFVT/Vd1m/7nw1V4fY64fbiXEskI0A\nslLqDnCNJlD7ybZNLhlH1X63rWpMS+7N2hsZ8o9FFXAcWk3vACufWzIXnT61764jqtpQvvG3s0rH\nbenqFq4dbdXsjGk03kP1aQTAI7lVbboxLLl+1Gc2R9n93M7okbPKPtyYsnFmO46UhxFOu3PZ2EZ2\nueQRm07b2fWjtvT/bPyjvjrnKjl2sIR1orpP53T0zO2IH3xGu3u6c/deshj107HnzvfdY9Vr/s71\nkc2Rm7PM3vR8ZZvZ/25eqvlyf0f4kI1/pDMV/+4c9L/qr+q30kPXfzW+6n1I2T0j3e3OX9Z+97g7\nN0t2i7qxZj4w0zfGohEuZPoz6s99X+l31Wc1F6N23uM9GDq2bCyVLLrYo99Vx9Vu09G8ZuMb2e6h\n5PSPj6vr2E6648n6HvF06Ph/sp0Y0zT9/Wma/vdpmv63aZr+1g/f/Wyapt+fpunvTtP0N6dp+kLX\n/8Vpmv7eNE3/5zRNf4G+/xemafo/pmn6v6Zp+k8a/ZZG3RHoaML02ClOp72qjaw/d01HGUY8urY6\nYLFEKbPxZPdWRlj1n8l/ZOzH3JeNz32v31Vy6I61klHFU6XrI1mM/lZyXTJed+yuzeSrxx29yXTZ\n9V/xvtS+KhlkY+7qZXfOs+9H7VYyqu6veBzJsTN/S/vLxjQaw4g3Pu+KeSMdXCqLQ/jna7M+szaP\n+b4ay5Kxa3uORo/wZG0t0cERjWwnG/d7/K1ke0h/HXvIvhvphLuvo9vV2Dr3due1o6tZv1UbFX9L\n+u/O6TS9Fleqe0dFZfe9k8Exej3Sn6z/Tnsq22x8I/2v5tsd67ms744MMllk97vvu2M/9m/X3rI5\nyqgzV67dSl5VP6PjrG+9Z4nNZv1V+lLZTXc8Hf2r7hldr/RTPk7yEhF/frfb/fO73e73fvjuP4iI\n/3G32/1TEfE/RcRfjIiYpumfiYh/IyL+6Yj4VyLiP5teR/afR8S/u9vt/lxE/Llpmv7lrMPOpFT3\nuInJgs3s3tF55wQ6itLdWub6yow261fPjdrogtCoT0cjYx5RR9b4W81N1/i7c+vG7vStO9aloOLG\npOdHx90xZ3xm17pxZOPKzlfH7lzFb9Z3p49qjFl77p7OXHbnWvns8FPx35FDRxaKV9n3Gb/V+eod\nH5XsszfjO1mOdMrx5Fb6KtlW43B9ZDLPvh/ZY9aP65NXnEdjqGSQnctklf1dMt6sj45euzFW949s\nqeLrkL/ZuI/pp7q+K9OuvuJv93GMUX9dOYzG5mSyNH50lOHEaCfFyN46OqfycOPN5rkr6w5vo7+j\nsY7+uheOj+ZQx+38l86JO67G7PjJ7qvG3fm4cVTjfc+/Th7Me3ZNJqeu3LJj9/1IFo53d1+Xx6q9\nrN+q7ex8xsdSva10NuurQz9lEWMy/f9rEfGXf/j/L0fEv/7D//9qRPw3u93uebfb/f2I+HsR8XvT\nNP2jEXG32+3+9g/X/dd0z9sOFwqpEj7/nwVjerwUSCqelyiMG3/HeWo/fJ9elx2P5F2NNWu3ejmb\n+9tps6KusbE+6KpFly8di+MhK6aMdM3x09GV0b0jvc3+VnxkvFX6n/FVfa+8cNvZL8KMZNXR40on\nqnFlY+nMa2Xj2Tl3f0f3XJ/ZsZNjpf+VDPh6Du5HczLSwa6u6lbwroy1Dcd7xe9ovCOdUcrGWc2P\nnuvqaTW2qr3Kh/H12ZxkY3WPL2XydvZQ3ePur+Q/+r6ju0uPR/pRjX0kMycr175rq2p/1G51XVev\nurbEetTR40wfM1mj7eyRNpzP5JnJUfvuynmJPlbtTtPrS4gdb6N23FgrfRxdn/FQ8d8dZyW7il/H\n4+j60b3ZNe77UR+Vrhzzt/o/+055Go11ib5V97hrO/Oe6diIX/6+mtcIH9NOU/4Yt/K3VL6VHCqZ\ndccT8dO+E2MXEf/DNE3biPgvdrvdfxkRv73b7f4wImK32/3BNE2/9cO1/1hE/M90789/+O45Iv4B\nff8Pfvg+pUop3LWjFbpjAay6hv+vVvwynpSc06uCkey7yiD1eCQDx3+2gpKN1fWNdnCN+01l7bMC\nhJFxOXmOZKRtVc/+d7/jdpxcMn5VFiMZKg+ur9H4R89A8ifT/+7H8btUbzPq6E4mn0ynMv47/Cpl\n7VRzx/+P3oDuqOKVeXL/u7ZOTk6s/nHCv91u34wX17ixVXrSHU+12juyj0ouGK/qPo+7Gkumk0t+\nZcnx7+6rdM6tEmfyqa53fTsdcsfVXGTvyXAy6LRd6YHT96rPpTr0nr9OouOt+Kvay/jt/ErMEvtU\n3rM23bgUT5b0Vc0RKFv97xbhOrpQ8VDpJ+NMhgnu2uwa932Xl+47lEbHS+y12x7mKsP7qljencfM\nJpSvaq6cDJzu8f9LXtw9sk9cP/oluu5xZrfZmJ0OqVyzxwWX8Dj6PuNrKZ44G1F70bnk/ys8qfp1\n42M9d2Nz48vaHvWfzbGjn7KI8S/udrt/OE3TPxIRvz9N09+Nb4UNpjrCWEj39/fxB3/wB7Hb7eL5\n+bmtgJWxds/rtdXxUqoq1zqWjOdqzO57bs+BhF4/WhHFd5XhZeSMehScOplUQaDjO7t+VMjovBA0\nA2nHj17vAK4C8mz+KxlW+s205GVOjgenC9k1IzvUa7p626Ul9pHphmsvk1X17L62W/3N2h39PJfy\nyO0s0T8df/ZdtaU342u0Vbpqg691Mspkk7UxshUcI5HnVcmqWIJzuO/l5SWURnqSXT+al+z6Sr5Z\nUSybiwpnl8zvaJxOV0e7MjKZVvbdvY6/G9lTdZ2z7epYx3vMiz0rfR3JZKmNZvrpznfmdWQf2arm\nsY+Y6fXZ4yKjdhzGOt6UL9zL12gSn8lEeVoSG2bt6X3ZsbMj7UfnbBSfRLxdvXZzVeECX8vF9kp+\nmRy4T/edyn0pj6M+3Lns2iWxnzvOeM2u4XaqsWTzx+dGepvJazR3jtQOMqwYtdHB7qr9TBYZvmRz\nl43P3Ze1+0d/9Efxp3/6p/Hw8BD39/fl2H+yIsZut/uHP/z9o2ma/ruI+L2I+MNpmn57t9v94fTt\nUZH/94fLfx4R/wTd/o//8F32vaW7u7v4nd/5ndhut/Hzn/881ut1ROSKlgnYTcLoeGSUo+uqa3+Q\n495Y3Jiq7Ydd8BitVDh+cU9ne35mjFnb1dzod+6Y+8z6c3JYErQtMeLq/+pebr/rLNy9Khd3XPFc\nyXSp08rG30mCKj4zfvW4Gp/KOvt09UR5WCqDTMdG89YJ4kZ6nd1XyTY7dnLu9O/GP3r+eXR/JkNX\nhOq0OWqXPyhivLy8LFpR4UJGNT9OHhWfru9svip5uDaq60crvyMbyh7LAXVWf0djyM65/yvZZmPT\nezOZHJs0ZH5hNE9LcN3Jtmo705VKdvyXx6Q7CTp9Hqrf2XXVfcp/l6cOv5Xt8HeO/4ofd+9Ib/nj\nfolI+z0mjhjJqNuueyTNjSOTT7VdH9RZeBvpkhvXaN46RbdO33zuvbCo6sfxk/nmSo5OV/Xa0Tx0\nKWsr81HVnCovep8uKmVjrfRziczd+NRGsMAykulv/dZvxe/+7u/Gn/zJn8RqtYrVapXK9CcpYkzT\ndB0RJ7vd7us0TTcR8Rci4j+MiL8eEf92RPxHEfFvRcRf++GWvx4Rf2Wapv84vj0u8k9GxN/a7Xa7\naZp+OU3T70XE346IfzMi/tOi3yGQ6PXZfZkyjAAjA4UuX9n1o0qh8srB3dKfKXTjcP3wtd2dGN3x\njmTQcQgqk1GAo9dn140Aqbv7QNvT/pdsfc2Os3G5e1yA4ba1L+lX73Wr7Z3n/LWdzmckp+y7TC5d\nPVE+K3lk/LrjbGXQtVe1w5S926XD/+i44jMb00gPHP/VCzI7jzuM9Fg/rk+cy3Da6Xq2YyfDiQ7f\nmUwd6Zg6OuDO6zuCqvF39Yp54r86t5W9Z+PorGJ25F7Nx2h+tRDlZJAdd6/ryJZ1tpJZ1m42n5mv\nzfro6DXLDn24a3S3ktpsV28yPrtxxOi9NxU2uaQD352enpZzoP1nejgaa9W+tqHtVLuouM2qnSXH\nTm7dNtz4R3HKaM4cdceL7xxGqM12bKg7Dm0va78a25LxRUSq/1m/lf25PkYyyfiv5DDqt+Kj2m3a\nJSeLjE/ut5K1w6qRzLkdh6+ZfJaO+afaifHbEfHfTtO0+4GHv7Lb7X5/mqb/JSL+6jRN/05E/D/x\n7RdJYrfb/Z1pmv5qRPydiNhExL+3e/VQ/35E/FcRcRkRf2O32/33WaeZ8lWUGbg7NzL6Qz8ZL+Dn\nBxntnXNj01WJbgCfGXfXQDtV6Oxebcdt73fjVVnp+PT+agXaPQ8Z4bcwZkY/mseMz+zeaoXRybfa\nRpyNe5Rw8cdtEe70q6sdXXtYct7x7fpn/qq5cYQ5d4lH1kcG6FkA0uVV52Fkx13d0E+1NbdzrPKr\n+D5kbB3d6K5AdGWPOeVEorLRkX66+zv8jgKSkW5X1+O8Fg3c/Q4Hs90P2XxVSeFo/hzvukKlMnY7\nATuyrq6p9NPRaH4ymSy1wZFeM78ZLbEPJ4Nq3CM5ZPcxH3xe/8/6zB5xqO4ZjU3PLUl63X3OtjpF\nmMxelOfujsdKpo5GBaNsHrvHGX8u5j1kJ2JVQMpi6gynHBZV1LWPkX7zZ7SbdNR/VohbEvu56yt5\nZ3bk5q+K2zM70OsqGeh9FVU8VAVNvrdja06eo3GM7CYbd3cnBo8xk9lI/xz9JEWM3W73f0fEP2e+\n/9OI+JeSe/5SRPwl8/3/GhH/bKdfCPHQLUfZJL7HZ+mquiqEC7yy8VSgoGMaJZaub5eEjfrs8DwC\nM77HAeJInt0VFNcuxjxyzlnbHb3QIlTVdlZUcPOs5zv3Zt8dco2OtwoSlL9j7FD56W6e7QY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kofqohROQulDKQ7wDhyONW5kQNwHw2MVcm0DVVoBmUArwabrn203amKZ8CnvGXjzfjPrtE2suOs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pYzlPxy5OrBwbWk/WeOu12Gbtq/NzFzd1cbjjII9LXJS+z3Jz11eHb4lFlqXtCduD96wfDNjS\nb9tfYrllgg2u6YvzibOz884M8w8+pH/pcNf2wlrs87LQaXllbGgcSvvq/CvHuY/jKXyU5+F1G2fs\nKzOnYT1VtRcXcR74Bj4vy/nGLGQc5t+tmM96Z31wDsNx52HIxcWSDotSJ9b0OLEqMcEbb8gSMq9Y\ncxdLGAf8d4jeyCJGVe0ZRVWf/KVSJTh61y8NyuDZAXM6vO4cWk2ZG20+JE5pgDl+KkIXLFihUMDO\n6aLU+VhG1Xk10wrt3a21QBgDZ0w+Z1EjAzGDk4NjDNXO2kkRFVk/fsI8OB8emsfmiUGX8+layAAx\nnZuN2EHQmvxT5/L8Q4kIumGe4kDSQec7JfysvkHSn1P/7WiRndtps6jhICbXlOtP0Mv1rwV4CcoO\nUrKI4cJX2v5aEcPdG77GgZGDACe/Ket09qkTDgCd2HXYhC6g72tYBLawRrdbJu/zO38PGU/h7dnZ\n2Z6D9ecuUAHz4ANFhQzW0GF/78foHGBbT1x06hIFbHVNb40NOU6XqPgzcoRXXusxnRi2Y2NRBrGQ\n58U9M1DiXtZvWrCtZ52+gdNuTbb+ZlLY4amxJO0nExYnX8Z789d4hEzBmQwYPb51kX+zgGa+pR4l\n1ucOX5cAwzt0Ap+f2OBk8JgiRofHVfVUMc73sf/ne/PO8Ubak9fOo5pggWMId52gIxRBfP+umAAv\naK3GbjKg7+bp+MHjOm7xRoGvc2dFxoaJLazZwX5iaIcZjhnXYiZ36PhYh+uJNZkI8Wsga/jePUab\nOO/k2t8bm+xTicHsM87Onv7FCPsDbN7FBsdQ/ux52heaX5192MY6n5xYlfxPGZn/PjftyX4AXaDz\nYku/Pacu+eR7/H8XF9nXdRtTyUt/1/mBxF3H08jIG2TmNbGV72MZ573StrwWdIx1gCvwAd/tdedG\nTcYvjOmihjGAuXVFDG/U2g6MqdxvLUZL280ihj8jc2/kWj8SU1Nma1jUxTfOYbc66+xT0uf4OuPI\nLGKskA3fQFu1/6iFz+kMtgOzPN51Wlh4W7ujaRQ4HsLENAAAGkhJREFUeT7TvpfXp8E7ePUaHdzY\ncawVMbITw/fjehthl6B0SX2uBTAjKMqg2I7PAN4VLdLA2eX0Z8AM8MuqPPfIoBtwtAPMIAC+p7y5\nbyYpXQCf+pTJWeqNHWHVeVDgNSRwZIBUdR7wZNGCgMOJcd7fCbCdA/f1PU3mRTqozsY6W+6A2frG\nnDwfZMR4llnKYq0TIwNm60I6Zxc1cvx09ul8sohhB26H6qLdGtbwl7uop6f7b6NPPTFvrI+dvjmp\n4F5bjtRY444QJ7jJX+sB1yNDY4V503XOpB14Pu6OMDZYP60T3boyEchiHwGH7dT4nYmC55ltt5lY\nwJ/ETo+D7TrpSRln0EZQCF8zgV3DKmOr55Bz64JZ+xHO657NznGyiME5rLWTGfZt/7WGTR12Z9dZ\n8hH/5ICTz8Z+cAvZe6fLc8vEwbJIvUV2fhQpscdxhHXHfj99QPISfLYfc9cJPoW5OS5Z46uvg4fG\nx7zO13sdfPY8c52218STDjs43wW2PK/THduQ7cB61yWkXXLhcxyLwXtirLQjj7H2eIgxCBvyxpjl\nzDzMW4qjTuasux1+OkmyzLrP1sGM09OGs2Cf8UonI68rZeTj6R/WsMj6x3dr+p3vbuh0JH1M2qPx\n2L4WHHURhnt1PEl97DDa+kDc63G9wZW8d6E55Wp5+Bj6zdoc46EH6L3PTfsBBy0bin7d3ByDemN2\nWZa9/A3Ms71Y7l6b5cXaqp7eiEUnupjPMrC9dvewLtluuuNpC8Y7cJj1gjfpNzp7dTFzFjFWCGE4\nwYaxXYLSGUwacDrLPG7Bp0O2wa+d40Qf5eUN1p2z7sATRfAzsJ0Bw4cMXg1mCepO5uxQst061+e1\n4di8Vo/v5BcjcBDHfb2j7CIFQMJLs5zI5PkOQLkvOuEAITsvkv8GKQcB2ZbG+F1QlDqXjisDkHSO\nKVcHZclPV6oNguidf5pyzVn7np3D6SreEBXzTAS3eJKgmudzDvNNp3h6el586xxSBnZrRQx0vpuT\nddeJzVrwiZ1a3oxtnV3Tv0ePzn9hg5fhsrObiVSOk46z0+suGEKW6BJ60Dn75H06NGMcwUYGoalP\nnoeDE+aUQZ6xLPE3g74u8cnHWNLpruExf95ZNBY5kOdfbBfcSPtILPI46feSH9YD46z1OdeZPATL\nLLd8SWf6mM4PrMnYBWRjhuXeBdI5X3ji4rN1tMOanGvqb6cDtscO1xO34RtBcleQyfUQGGaBJYPW\n7NDpCqpeb7eBwb29Fttyh5Odz0JO7mizvmIDjj+S/x7j9PQ8Qc+X3uW1nk/aEPwC90kwfM/0qd3a\nkOXZ2X6xuYub0ldYF7b0qtM761R3D88nC6apn56z8dnFZ/OB79xR2Y0DRnS2ZqxaW0dilfXaO+rW\nvy285/9pH9aT999/fy/G3pJRd7yTV4dF8GZZzgv/6NGafieOJH/g+Rq2ea4UULGrLGKs2Xbig9fr\nOJRja/EK88ifwDU2+bo1HDa2eHMSXPVa4XlX9DTWcR4Ykf/6fOaHPjp+sc2hv/ZjllUX/7o4wn26\nGI/7uujhjaDUncSixDLnr3nctkXsnvEI91/DqtSF7HhLv7ZGb1QRwwxJR5bVsWS6DfTs7GwvuO4M\noEu2url0wkrHxsuq3n///LeZ165PheNzV7zI85MHDhINtF6jHeXauN3n09PzAP769et7AO9zmMsa\n78z3Tlanp6e7XwAARPxcLuvItmF0gn/Xgou1oCTnuhaA5Fg57hY/U07Ixc+j5fUdT+GLeeaK8aNH\nj3a/5379+vVWvy0DZGse51o7ne94mF0lOPiUfxcQpXNPnpknXWDT6dhaJ0an5/Ca69GzNVv1Pbbs\nOvlu546Dcythh0WHxu14vYVd3fdeO9+lM+3m4MTJtrxlA5YzzrArSjv5zuOeqzsiLOMtPh7CqNRT\nsAh897Ves4MeH1/DD9aWCRnBhsfJNZsna3pirDCf/FOmOfYar9BZj9nJ2d9lELh1n8QmeIMs8wVr\nOf+1MbfkfMhWfD6Pj7z99ts7naCAjJyTL16L19fp8xZmeO3Jw+Rv2rIxzZhhOeZ4nG+/QLKcOLqG\nO9Y/kh2KtNeuXWvlYTnkOD62hitrbc4+L327E9q0XeuI52ncS/539zyEPb4O2cD7tfV0uuI/75am\n3/L1iZOOO5IHyZv8S/ztXmDYjWv76fyzN058jpO+lEXiVMfzDjc62UOM55/lZD4uYqDfney6eybe\n5zyzCJHvD1krWqzhxRrGJW4YMw6NuzV2HjPPLEN3sV+7dm1vM6jTC8ZE5r6XMcM8RY78Mpx/ujg3\nB7KTrmo95jPO+rE9fiLd8Xg+PuJr3Qm+xceUxxpOJFbk5rdzp7Ux1uKi5OsheuOKGP6/AdgBXGd4\ndjBnZ/tFjA48t5x5Z9ydADORoIhx/fr1o4zaY7M2V8YOAUQHXp6/ixjwZW2sXDMG75foOXhzgHMM\nUHJ/wCmLFteuXdsDaz53ThvnZSdgkDT/EgxTp3wtOpEy2AKHDki2QD7n7PMzKIDsnA18zBPQzGp6\nFp1Sb7OynMGO55p2tOakPG7qVfLJepr26znbmXu30nPhWjsfeNnJkft6vVtOxMe73UDPfS0IYC3o\nd+rdlh2lzm0F4YdwZ23cqqd/I7wLcFxoSDtImftezJmg1ry2Xq8lFh0ueqehs8tc71oRoBs/A0fb\no//1DoV1L3mQdtCtr5MlY2w9ppDyNA/h64MHD56aX16bvEpfmhix5VM4rys4rsmnqv+FhDX97vi7\ndc0Wn7tx/Q6Mqtrs4IS33WbD2jxsV/lLFukXtmy5k2s3Tldk9vWdrzSOrs3Fc0o89ztEtvTGvENv\nvLnTybuTdeoX90s9hBeH9MA21WFINw/bqOezpceJXZ0vWisa2z92c/OcumIW+r22ljWM2Jpf6nUn\nm67Yu8WbqnNczkTO6+rW0dnHmj3ldZzPfbKIcXp6Wjdu3KikTpfS5tbOy42rBw8e7D223PE619eN\nv4Z13Cc71ezvO31fw7Rcp3XUibs7slmPO3o6uXi+5iMxXeq9eZjvA7JsjXX+lzE6W4BnHPNmNuum\n68SyIw5yHpm6k3iHzA9hkc+13nGPxIlOXzu5Pgu9UUWMqqd3MGB6V8RIJ5POOo3aBrUFdp1BdoLO\npA3ldbKfY3XKhjLmIyR5vivTnmdXmTP4EAzY4BMgEmBxFD5GC5R5nkm5+ZMy3AJnCj8UNQgUbbRd\nUNXJrDP8Dszzuq3A8ZBhdw5h689BmQElE2l3W3ie3uGgiOGWv649jbEyOcu1e31d14hl6mNOcNfk\n0cmL9XT2wbiW/xo452MKLkitOcDcRdoqynGPrqW6czR2cMwLfWcnIO1hjQeM67mb18nXHKs71mEp\nwUU3RvI+W847Hclr7cxzzsmrDOLT5pivd/5Sj1PvUqapp6l3Dqw6zGCOGUykfuY1a10muTPi69E7\n1r6mJw5CvRZ2oQ5hnCl96RrfEmPW1nCMTmaL65ourmFrh/VrWLQ1LraKDtBKbqzq9D/tYA1L0jbS\nDteKP50edrzOYm9XMDWOd9gKhm7FJp0dG0O6X7fp5N5hzdrjI3n+mm2v2Xi3m7+mW4npW/daO9Z9\nn7pm7EsbTH3rfGzyZu37jKnAh6741u3Upu66iJz6l5spHHMsYn3r9DrtI+PuqvPC51p3otfeycD3\nzbUnPndFOuu378f1WbC3XDvdyIIMvsi5RRZTs8C1Nb7nlrzuurc6ffMa1+zO97GcbX/IDZy17Xf4\nv6aL8IT7dbK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_f = 150\n", "ph = 2*pi*np.cumsum(f0 + M.ravel()*delta_f)/fs\n", "t = r_[0.0:N]/fs\n", "MSK = sin(ph)\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ns*Ndisp],MSK[:Ns*Ndisp])\n", "plt.xlabel('time [s]')\n", "plt.title('MSK signal of the sequence:'+ np.array2string(np.transpose(np.uint8(bits[:Ndisp]))))\n", "\n", "(f,MSK_f) = avgPS(MSK,512,fs)\n", "\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,MSK_f/max(MSK_f))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of a MSK signal ')\n", "plt.axis((0,4096,0,1))\n", "tt,ff,xmf = myspectrogram_hann_ovlp(MSK, 148, 44100.0, 0,dbf = 30)\n", "plt.title('Spectrogram of MSK')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yor comment here:\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MSK is a very efficient modulation with constant envelope and a narrow bandwidth. However its sidelobes are still prohibitly high for application like cellphone networks. The sidelobes can be further reduce by prefiltering the frequency transition by a smoothing filter. A very common filter is a gaussian filter. When a gaussian filter is used, the modulation is called GMSK. This is the modulation that is used for GSM networks. Much like the other modulations, filtering reduces the sidelobes, but increase the inter-symbol interference. \n", "\n", "The Gaussian filter used in GMSK is defined as:\n", "$$ h(t) = \\sqrt{\\frac{2\\pi}{\\mathrm{log} 2}} \\cdot BW \\mathrm{exp}\\left(-\\frac{2\\pi^2(BW)^2}{\\mathrm{log}2}t^2\\right) $$, \n", "where BW is determined by the time-bandwidth product (TBW) and the duration of the gaussian pulse, which is $\\frac{T_b}{TBW}$ -- where $T_b$ is the bit time-period. \n", "\n", "In the discrete case, where $f_s$ is the sampling frequency \n", "$$ h[n] = \\sqrt{\\frac{2\\pi}{\\mathrm{log} 2}} \\cdot \\frac{BW}{f_s} \\mathrm{exp}\\left(-\\frac{2\\pi^2}{\\mathrm{log}2}\\frac{(BW)^2}{f_s^2}n^2\\right) $$, \n", "\n", "* Generate a TBW=0.5 gaussian filter over a 2bit time period. What is the bandwitdh?\n", "* Plot the filter. \n", "* Filter the frequency of the MSK signal above using the gaussian filter. Integrate to generate the phase to generate the modulated signal as above. \n", "* Plot the signal and its spectrum. Comment on the result. Does the spectrum have less sidelobes? \n", "* Explain why the spectrum looks like it is and compare to the spectrogram. " ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlustig/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:4: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ubSEkDNcGzreUfivtiw5k11s6kBXkuuuIHvjA7b+nNChw7kPXNSnHww4e5Fmx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\nUHqCcXS0mLEtvRlZ7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BR5so68otMAJ0+u9rAV4Gm5Jejv0PWRfaX3tdaKzoWXyCJbz4if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\n75qaRORdpZS7SinG17ET1xE8a+rJIvKZU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8F0dvvFx6Dh6NIevrI/tm3+t0t4mtlf7Ivr2xq5X2aAxL634X9Thn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\nmY14cO18ZBaAD5MglB6/jsrT7UmTrOrKj+/kOaO9uwan0DM/3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RAEQRAEpwI3HDcBQRAE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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "TBW =0.5\n", "Tb = 294\n", "B = Tb*TBW\n", "n = r_[-Tb/2:Tb/2]\n", "h = sqrt(2*pi/log(2))*B/fs*exp(-2*pi*pi*B*B*n*n/fs/fs/log(2))\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(h)\n", "\n", "freq = signal.fftconvolve(f0 + M.ravel()*delta_f,h)\n", "ph = 2*pi*np.cumsum(freq)/fs\n", "t = r_[0.0:N]/fs\n", "GMSK = sin(ph)\n", "\n", "t = r_[0.0:len(GMSK)]/fs\n", "fig = plt.figure(figsize = (16,4))\n", "plt.plot(t[:Ns*Ndisp],GMSK[:Ns*Ndisp])\n", "plt.xlabel('time [s]')\n", "plt.title('GMSK signal of the sequence:'+ np.array2string(np.transpose(np.uint8(bits[:Ndisp]))))\n", "\n", "(f,GMSK_f) = avgPS(GMSK[Ns:-Ns],512,fs)\n", "\n", "\n", "\n", "fig = plt.figure(figsize = (16,4))\n", "plt.semilogy(f,GMSK_f/max(GMSK_f))\n", "plt.xlabel('frequency [Hz]')\n", "plt.title('Spectrum of a GMSK signal ')\n", "plt.axis((0,4096,0,1))\n", "tt,ff,xmf = myspectrogram_hann_ovlp(GMSK, 148, 44100.0, 0,dbf = 30)\n", "plt.title('Spectrogram of GMSK')\n" ] }, { "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }