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@akibmayadav
Last active February 19, 2016 08:03
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MAT 201A - ASSIGNMENT 5\n",
"### AMBIKA YADAV\n",
"\n",
"## IDENTIFYING PROMINENT PEAKS IN AUDIOS \n",
"\n",
"Three wav files have been given .The autocorrelation is computed , which is a measure of how similar is a signal to itself at different points. The points where autocorrelation is the highest correspond to the points where the signal is being repeated and in other words the distance between two peaks of autocorrelation give us the period of the original signal.\n",
"This is how I have tried to extract the frequency of the signals by extracting the indices of the prominent peaks in the audios autocorrelation. \n",
"After this I have used the computation done as a part of the last assignment to extablish how accurate is the prediction of the signals frequency using the autocorrelation function."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"rcParams['figure.figsize'] = (10, 4)\n",
"from __future__ import print_function\n",
"from __future__ import division"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from scipy.io import wavfile\n",
"from scipy.signal import freqs\n",
"sr_a, sample_a = wavfile.read('glockenspiel.wav')\n",
"sr_b, sample_b = wavfile.read('piano.wav')\n",
"sr_c, sample_c = wavfile.read('tom.wav')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def assignment4(sr_1,sample_1):\n",
" # FINDING THE MAGNITUDE SPECTRUM USING fft.rfft and normalising the magnitude\n",
" sample1_f=fft.rfft(sample_1,len(sample_1))\n",
" magspec = abs(sample1_f)/(len(sample_1)/2)\n",
" # FINDING THE FREQUENCY BINS AS HERTZ\n",
" length= int((len(sample_1)/2)+1)\n",
" freq=[]\n",
" for i in range(0,length):\n",
" freq.append((i*sr_1)/len(sample_1))\n",
" # COMPUTING THE TOTAL ENERGY\n",
" T_Energy=sum(magspec)\n",
" # HARD CODING TO FIND THE CUTOFF FREQUENCY , ASSUMING 0.95*TOTALENERGY\n",
" CO_Bin=where(cumsum(magspec)>=0.95 *T_Energy)[0][0]\n",
" CO_frequency=CO_Bin*sr_1/len(sample_1)\n",
" # PLOT 1 - FREQUENCY VS MAGNITUDE\n",
" subplot(2,2,1)\n",
" plot(freq,magspec)\n",
" plt.axvline(CO_frequency,color='red', linestyle='--',label='{:2f}Hz'.format(CO_frequency))\n",
" legend()\n",
" title('FREQUENCY VS MAGNITUDE')\n",
" xlabel('Frequency in Hz')\n",
" ylabel('Magnitude')\n",
" # PLOT 2 - FREQUENCY VS MAGNITUDE IN DB\n",
" subplot(2,2,2)\n",
" plot(freq,20*log10(magspec/T_Energy))\n",
" xlim(0,CO_frequency)\n",
" title('FREQUENCY VS MAGNITUDE')\n",
" xlabel('Frequency in Hz')\n",
" ylabel('Magnitude in db')\n",
" gcf().set_figheight(7)\n",
" gcf().set_figwidth(20)\n",
" # CALCULATING PEAKBIN AND PEAKFREQ\n",
" peakbin=argmax(magspec)\n",
" peakfreq=peakbin*sr_1/len(sample_1)\n",
" print('The peak frequency is {:f}'.format(peakfreq))\n",
" print('The cut-off frequency is {:f}'.format(CO_frequency))\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### GLOCKENSPIEL"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CREST LAG INDEX 1 is 32\n",
"CREST LAG INDEX 2 is 65\n",
"The fundamental frequency extracted from Autocorrelation is 1336.36363636 Hz\n"
]
},
{
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RUeB40gdr1UonRtmzJ5W9+BeH3WVGNo5rLg69y1TmE5B7dZ8yXe8J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\nREREROSb/w+dssdq4weAqgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f5f41d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lags,c, lines, line = acorr(sample_a.astype(double), maxlags= None);\n",
"grid();\n",
"gcf().set_figwidth(20)\n",
"# CONSIDERING ONLY THR POSITIVE HALF AS TH SIGNAL IS SYMMETRIC AROUND 0.\n",
"c_phalf=c[sample_a.shape[0]:] \n",
"subplot(121)\n",
"title(\"Postive Half Of The AutoCorrelation\")\n",
"plot(c_phalf)\n",
"xlabel('LAG')\n",
"ylabel('MAGNITUDE')\n",
"# LOOKING INTO THE SIGNAL BY LIMITING THE X VALUE\n",
"subplot(122)\n",
"plot(c_phalf[0:200]) \n",
"title(\"Zoomed in Positive Half\")\n",
"xlabel('LAG')\n",
"ylabel('MAGNITUDE')\n",
"gcf().set_figwidth(20)\n",
"\n",
"# EXTRACTING THE POINTS OF HIGHEST CORRELATION WHICH MEAN THE POINTS ANALOGUS TO THE HIGHEST FREQUENCY COMPONENT\n",
"array_of_crests=[]\n",
"crest_number=0\n",
"for i in range(1,len(sample_a)): \n",
" if (c_phalf[i]>c_phalf[i+1] and c_phalf[i-1]<c_phalf[i]) and (crest_number<2) : \n",
" print(\"CREST LAG INDEX \", crest_number +1, \"is\", i)\n",
" array_of_crests.append(i)\n",
" plt.axvline(i,color='r',linestyle='--',label='{:d}'.format(i))\n",
" legend()\n",
" crest_number =crest_number+1\n",
" # EXTRACTING THE CORRESPONDING LAG VALUES \n",
" if crest_number==2: \n",
" break\n",
"period=array_of_crests[1]-array_of_crests[0]\n",
"fundamental_frequency=sr_a/period \n",
"print(\"The fundamental frequency extracted from Autocorrelation is\",fundamental_frequency, \"Hz\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The peak frequency is 1323.342835\n",
"The cut-off frequency is 5736.771184\n"
]
},
{
"data": {
"image/png": 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By9WuXXbejjvCtGmw885uZLIw3d8quiVL3DRMBlJVqJNUWQJIDRvCjz+672JV\n+Bwbk205DyCp6kxg34CnDk+w/J3AnTltlDHGGGNMFaOqm4CzEjyXt/Ovxx+Hb74JDlQUu0wzF4qh\niPaVV8Y+vumm4OX8hbb91q6Fbbd1Xd0GD85u24rRG2+4aZgMpKoQQCp0Afhs2LjR/d2pV8/VQWrQ\noNAtyq3Fi+HFF+HPf87+tpcsgdatizNQaHKrCvQ6z1xV+GdgjDHGGJNP557rprVrRy9sTj8dDjqo\ncG0KK1FwJZVCZSCJwH/+U/acduTIxMfba+PKlfD889H5Rx3lpvPmZb+dxcg7ZulkIFXmi+nKEEDa\nsMF13dxmm6rRje1f/4LLLsvNthcsyM12TfGzAJIxxhhjTAGISG0RuVpEXhCR8SJylYgUfV7OzJnQ\nrl35t1OrVmwdnmnTyr/NXMs0AFTIItr/+U/s4513hosvTrz8gAGuDlLDhnDSSWWfV4UnnyzbpWnd\nuugoV+vWuW6KlUGYAFKxFEnPpcoSQKpVy40u+MsvhW5N7sUXys+myhwsNclZAMkUByuibYwxpuoZ\nDewKPAj8A+gCjCloi0L48kuYP7/822nYEGrUiJ131FHRIEQxyvQiuhAZSF4NnxEjYud7mUSJ7LEH\n3Htv4ue/+gr+9CeYHhlj+aef3Ovbay+3rioccABceml0nV9/rXhDp6eTgeRlpqVbJ6giSfezW4wB\nBi+A1L69GzmvsstljadifH9NfuSjiHaFZV+MPLrlFgsiGWOMqWp2U9UuvsfviMjsgrUmpGz+qh0f\nQJo4EWbNgn32yd4+sqkiZSB16RI8v7yZJF7g6MAD4bXXoE8feOCB6AW5VzNo4ULYbTcXOPq//3NF\nu+fNg9WroX798rUhn8LUQPICR5s2QZ06uW1PoVSmDKRu3eDTT4Mz7CqTyvCemeJjGUjGGGOMMYUx\nQ0QO8B6IyP7A9AK2J5TyBJDiMzTiA0hQ3CMjZVoDyXvd+bqgO+AAWLUq+Ll0g1iHBw574/Tp46Z3\n3132uV9/dV3hbr7ZFfP1aictXepu69a50bCKlXf8wmQged31KnMGUmUIRkyY4Iqj7767CyBVdpXh\nPTPFxwJIxhhjjDF5JCKzRORzYG/gPRGZLyLfA+8DRZp7E+UFeDLJ1F692k29AqznnVd2mWK+6Mk0\ng2jjRjfNNACVji1b4MMPEz+f7vF9+WX429+SL7N4cfjt/fQTbLedy0hq1QrGjHFBmm+/dd3jisVV\nV7lpmACtBpHrAAAgAElEQVTSunVuWpkDSJWhvtOjj7rv4C67wMcfF7o1uZfL98zbdjH/vTa5YV3Y\njDHGGGPy69hCN6A8vMDR2We7YbD/8Y/w627cCM2bww47uMetWrntTZgAxx3n5o0dC3vvnXnbfvkF\nmjXLbP1UMr0g8wILv/+efLmNG+Hzz8vXhe/RR5M/n+4FX9260LNnxs0po3v32McDBrhphw5uOnky\nTJ3qAk3Dh7taTq1aBW/rt99cF7MZM9yQ4o0buxG2spnFFqYLm1e3qzIHkNIdndr7rmzaFJxpmG/+\n726bNu7z9d57ritmZZXL4I73Wd+yJdx3xFQe9nYbY4wxxuTXmhS3ouZl0YwZA6NGpbfupk2xI695\nttsuev/vf099IT57tquVFG/sWNh2W3f//ffh3HPTa18qYQNIX3/tjpOqa6uXgeRlYCXyyCOw776J\nn585MxpoS+TXX5M/n8lFZXzQJ5d69oTBg13xbxEXGBo+3NVZEoE5c9xxfekl+MMfXLDtoIPgmGPc\n6FonnQT//rcr9v7ll3D55eXLxAgTOPG2773PlVG6ASTvWMyZk/22ZGLCBDdt1MgV8D/vPPjss8K2\nKddymYHkvb+VITPNpMcCSEmk+4fSlMOQIYVugTHGGJMvn+BqHX0C/ATMBeZF7n9SwHaF4g/urF2b\n3roDBsCiRWXnexchtWq56U47Jd7GqFGw665uxC+PiMskOP302MePP+4CMmPHptfORGbOjM0iEoFX\nXim7XOfO8PDDMGWKa2uqLmwrV7rtpDqer74avRD2Gzw4OurZoEHJt1GIC74ZM8q3/lVXwRVXuPu7\n7OJGgfvjH11wYnak7PzXX7vpyy/DWWe5At677QYPPujqdl1zjXv/0hXmesALylXmDKR0s0y8ulD5\n6LYZxtKlbjplipu2auX+PlRm+chAKpb31+SPBZBMcbAR2IwxxlQRqtpOVdsDbwPHqWozVW2K69o2\nsbCtS608Fwzvvhs8v1Mn6N07uu2FC4OX+/vfYeDA6OPvv4/ef//94HWmTw/+nWrlymjXo3TUqwf3\n3x997I0+Fj8s+OLF0Qu4b75x09NOCx7O/h//gL59kwd/RODJJ2PnnXyym3/77TByZOIMmBYtovdz\ndVE5dWrs4/32c9MtW6Br1+zuy8t8Syfj57774Ikn0t9XOhlIxR5A2rDBDWGfiXR/WL/44ug+i8Fn\nn7nv7W67uccrV8Inn1TuUbfvuit32y62AKHJHwsgJVGZ/6AYY4wxpuAOUNXXvQeq+gZQ9BU5cnGR\n3LChGxL+wguTL3fttbGP27cPd2E7d64bdWnDBleoubTU1cv5059cvaSpU8sWgv7uu8TbvvpqF5AA\nF+yaNcsFwb79Fo6NVLiaN8/ViQK3H4A1a8oGmiA4u0M1dnh4cNsHd9F2/fUwfnzsOl4doXj+GjT1\n6gUvk8qVVyZ+7q67ovvefXc3/fBD9xq817Zhgys2vXIlnHlm4m2NG5dZ+8IYMSJ64RvW9denXiYo\nA2n8eDfiVzFZsSI26JpLHTu6abrHO1dWrXL11zz33OOm//1vYdpT0XmBcOvCVvVYAMkYY4wxpjCW\niMhgEdkxcrsJWFLoRqXi/8W5d+/sbvuhh6JdtLyuSek66aTg+d26Qe3a0KWL69YErtvTL7/AwQe7\nwrpt20a7QnlDzCcKmF1zjZs+8EC0O12HDi4QBvDCC/DDD2XX694dfv45dl580eeDD3ZBn5o1XeAl\nvm7Uc8/Biy+W3XaizK3qkWFz5syBYcOCl0nl/vvdMQxyySXQtCkcdVTiH2Br1nTHv2FD+Oc/o8Ew\ncBfzn3/u7vfpk1n7wqpTxwV2nn023PILFqTOsgjKQDr55GiXykJat8593h57LPp5zMfIWWed5abF\nkoG0Zo0rsO7xusv27VuY9lR055zjppaBVPVYAMkYY4wxpjD6A9sCLwIvRO73L2iLQvBfJAcVxE4k\n7EVrjx5uuuuu4bftWbgQnn8ezj8/+XJeFkZ8F6gffohm9Rx0kJvGZz2V17p1MDGuo2J8BtLUqdGg\nxEsvld3G6ae7DKewvAyknXeOvYhOV/UE4zfXrOme+89/3IVl/xSf4rp1XfbY4MHudu21rm7Ubbe5\n56ZPj74PQcf/ttvg7bddsGrLFvfZWrcu9ji+9JILVIELbvn17u26E37/feLP5QknRO+nyqLxthH/\neYoPDH7xRX57OFx3HVx0kSssf955cMABbv7dd7vsuptvzt2+vc9vMWQgvfGGyzysXz92/pIlrqbZ\nDTcUpl0V1fLl0fsWQKp6ch5AEpH5IjJTRD4VkY8i8xqLyEQRmSMib4pIQ9/yg0Rknoh8JSJH5rp9\nxhhjjDGFoKorVPUKVe2qqt1U9UpVXZGr/YnIviLykXdOJiL7+J4Lff7lFaN164Xf/3PPhVsufsjv\nDz90FymrVqVet00bN91//+TLjRjhpl9+Wfa5wYNjSzN+/nl2h7EHOOOM2Mc33ZR42ZEjy7+/bA2j\n7g+I+INJ/kDiVVfB00+H295tt7mbt73Bg939vfeGXr1cEOeee8rWzho8GA47zN0vKXGfw9q1o8Gk\n6dNdZskFF0RHwosP2oELYnm1euJ5o/lB6iBIolHY/Mfr7bdd974PPki+rfL65z/d8di82WWbjR5d\ndpkbb3TTv/0td4WkvWNSDBlIvXu7jLf44Kk3+uPy5a6L65qiHwMzvFx2LfN3g7QAUtWTjwykUqBn\n5OQoUk6PG4C3VbUTMAkYBCAiXYB+QGfgGGCkiI2FViVYEW1jjDEm1+4BBqtqV2AIMAzSP//629+i\n99M5S/O6hKXiD3YsXuyyJgYOdMNvh3XuueXrpnPLLdH777wTDWAMH575NoOsXu2OYbK6Uv/7X/n3\nkyhzKFMlJbGZQbk4W2/cONpN75BDovO33z75eiIuAOXXvDkccUTw8kGj2kHshXGqANJPP7lpfADJ\nf9y9/XtBim++CVdfKV2vR6qqrV4dbvlzz43enzOn7HpexlS6mVPFlIHkqV277LzHHnPF1bt1i3Zt\nrQzWrYvez3aXRf93w2ogVT35CCBJwH76ApHxExgFeEmixwNjVXWzqs7HDWm7H6by85+pGWOMMSYX\nfgS8rO9GgFc2OuPzr3QCB0EXb0H83ZAuu8xNn3oq/H48uQhqpApepEMV1q7N3vaCeN0Ad9opO9vz\nggirVgWPbJdL3r6zHQyrUcMFTuL5L4zjA1LxvILM8dk2XgaSP/iybh1MmgSPPhpdL5u84sZeAfcw\npk930112gUsvjX0uvpB7WF7QotAZSP73Mb4LG7i6Z56bbnLFv1VdxlJFDo74669lO0vIH2S0DKSq\nJ1QASZwzReSvkcc7iEjYwI4Cb4nIxyJyXmReC1VdBqCqSwGvJn5rwF/+b3FknjHGGGOMKZ8bgPtE\n5AdcNpI3aHzG518irl5PfFHoIF4A6YsvQreXWbPCLdeqFfz6a/Bz3nDydeuG328i/i5JXhHeTJWU\nwFtvlW8bqXiBi3//O5olk43tbbONe/3Vq8Ohh5Z/u+moUyc725kxw00XLHCBk3j+C2N/zZdkEnVh\n82eA/Pyz6353993u8TvvhNt2WF4A6fXXky/nt+++0fsrV8Y+572m+NeWivf6pk1Lb71s++wzaNLE\nvZ877lj2ea8rpOebb1zwpUMHF4Tzd9mtSFb4OkNnOxDm705sAaSqJ2wMfySuK9qhwK3AGmA8sG+y\nlSK6q+qPIrItMFFE5uCCSn5pl5Mb6uvy1LNnT3pmu3M6ufnlyhhjjDHBJk+ezOTJkwvdjLyJnBud\nD+yI75xMVc8pxzbfAlr4Z+HOswYDlwGXqepLInIy8DiQoGNPMkO33vvxx54cfHBPLroIHn44+Vpe\ntk3LluH39M03wfM3bIgN4FSvnriLm1fnZO3assWq09Woketa9dRTLqgwcGD5tlfe9cOqWzc7AbT4\nbkxLl5Y/kJaOWbPcKG7lUauWGzWva9fky4Wt4+QXn23jXUv4RxQ877zYZQ49NLuFtRs3dtN0uy09\n8YSbxmcaZRpA8jz5pAvQ5aK7Xhj7RCq9xRc096tXD5o1c8FEiAaannrKBV7ffDOnTcwJf5Bn06bs\nBV4hNrBfkbO0TFQ6519hA0j7q2o3EfkUQFV/FZFQ426o6o+R6U8i8hIuJXqZiLRQ1WUi0hLw4vqL\nAX9ycBui6dUxhuahZk4+R0kwxhhjqrr4H4Ruqfzdm18GpgBvA1k5DVfVhAEhEfm397yqPi8ij0ae\nCn3+BVCz5tCtF5NedkGYiwivO1qTJqmXPfpoN6JXImGLQs+fD7/8Ai+/7C7m77rLjbh01VVuWPp0\n1asX/WV/7lw3vfZaV6y4vH7+2V3EFrP4c+P40c1ybbfdyr+Nzp3ho4/c/VNPhWefdfdnz4YuXcq3\n7fnz3dT77H7/Pbz6Khx/fPL1Dj8c9trLBTjL262tffvM1vOKbc+c6T6H773nRu3zureF7YqmWjZQ\ne8MNhQkgLVkSbrmff3Z/UyZMiB19D1wGU0XkDyCtXw8NGmRv2/5i48uWueLwpmJL5/wr7O8wm0Sk\nGpFMocgvZinj2iJSV0S2idyvBxwJzAJeAQZGFjsbdwJFZP5pIlJTRNoBHYCPQrbRGGOMMaYiqauq\n16vqOFUd791yuL95ItIDQEQOw9U6gjTPv2rVcoEYvwULwmc8hMnwHjMm8XP33lt2G4l+9Gvb1hXH\n9Z6/4AI3zfQi3b+fnXd2WUi9e4db1xv5LRF/MKZDh9Tb+yjuHQrKrjrggOzXbaro/J+d++6L3vfq\nRSWS6DPjrwX117+6qVd/pm7d1MEjgP/+132uhw0r/zHOtOaQFxhdutQFXW+4AW6/HY46ys3fvNll\nzAWNhvjkk9Cpk8t0Kaai2S+84Kbea0ikdm2XodS3b9naXsuXlx0FsCLwv0+//57dbf/2m8sq22sv\n91kxVUvYANIDwItAcxG5HZgK3BFivRbA1Ejm0gfAq6o6EbgbOCLSne0w4C4AVZ0NjANmA68Dl6hW\nhn9VJqV8V2I0xhhjCm+CiIQMP2TFhcA9kfOyvwEXQPrnXyUlZWuJTJwI11wTfTxhQvkuhJNl4viH\n4vYPtZ6ObBVi3nbb8CUP9twz3HI33ADz5gU/NyoyBM3hh8fWrYHYdnjBpH/9K3bI7fLK9mhOheAP\ntLVqBR9/XHaZoOLmn34avL1bb419fOGFcPPN7n7NUP01Yj3zTPR+w4axo2nF27jRBYy2bHGjHD74\noCvO7XUrTKe76Oefxz5+8UUYPDj6eMsW9/nzZ+S89pprw4svuoy8mjVj2+83bpzLbsqXzZujWY9e\n97wwbrwR3n8/dt6iRdlrV77kMoC0apX73HfrFn60P1N5hAogqepTwHXAnbgRPE5Q1edCrPe9qu6l\nql1VdXdV9QJFK1T1cFXtpKpHqupK3zp3qmoHVe0cCTaZqiAPXRKNMcaYInMFLoi0TkRWi8gaEcnZ\n6biqTlfV/SPnZX9Q1U99z4U+/xKBfv1ccMLPG+JeFY47zl3QRrfvpv37Z+e1eA4/PHb7qWyzjcvK\nARifpVwvL3BTr17y5Xr0SJwd8re/Re8n6w44YIDrNhh0QewPjHj3S0qS135JV2X4WTf+ePhH4fJ4\nI5j5R+0K223ykUeiRbfjC1KHccYZLhtq/Hh3cZ6sgHfv3i4LZMwYFwzzSpicfrqbZjMbyCuW7K+F\ndOyxrj6Qv6vYuedG7/u7iZ56Khx8cPbak4r//Uon0FyzpquR5ZfuCHRr1rgg5NSp8Pjj6a2bLbkK\nIE2Y4LqtNWzovh/+7mymakj6+4uI+HupLwee8T+nqivKrmWMMcYYY1JR1YBBpYtfSYkLmrRoEfy8\n94u0f3Qe7wIsGwOUeNs46ig45ZTEGQ9BatSIZhccc0z52+Jvz5IlrstP9epwR4I8/UQZKV5g5q23\nUg8Zf+CBwfNHj4Y2bdxFepcuZTNKsqEyBJBatYp97A8uvPMO9OoV7frkD+aNGeM+P489Fp2X7cwO\nz+zZLpMJoqOqATzwgAtueKVKPvnEBaniA1VeIe1Mu7MFmTPHTeODKbVqJd6PV8Des2aNu22zTW4H\nK/IXed5jj/QzDuvWda/z1VfdZ+Kll9xrSdUVznPYYe64zJvngi19+rjvvve+5MqmTe4zum5dbAA/\nG5/T0lIXDDv/fPe4QQMLIFVVqTKQPgGmR6Y/AXNx/eV/iswzxhhjjDFpEJFdItNuQbdCty8V78Iv\n0UXZzz+7qb/rjZe1UN5R0Pz7/89/4I9/dBc0l16a/na8YI5XPNgvUcHZoADKgQe6It0NGrihy+OT\nquOLGgfVkPEcfnjii8z4rlLggh8//eTub789HHSQC9xddFHifZRHRQ8g/fhjcH0tb8j7Qw+NHbY9\n/sI7PpskVdZZeXi1ZfyB2CuuiH6+fvstmk111VVu6r0/tWu7aSZd6FKJDxa9/nriro1BI/81aACD\nBkHz5i64ko65c13QDNz3wV+8fssW17YBA2IziCZm2J+lenX396V5c/f9Pvro1OtMnQq33OICR1On\nRl9fy5bhBg8IY+ZM9zfQe68POcQF0r/4wr3fEye64z5+vOs22KNHdgJIP/8cDR6BZSBVZUn/jatq\nO1Vtjxsd5DhVbaaqTYFjAeteZowxxhiTvqsj03sDbn8vVKPC8oJAQV2jSkujAST/haaXteB1Ocum\nRx5xdYPSVa0aLF4cHBTx5p12mqshFF/zKX47/kLJ/uOy775lt5/JaEhvvx2tq+O3fHnZelHVqrli\n4d99l/5+UvHXn6qIWrYMfg29ekXvf/NNuG198UV22pTKZ5+5gIEXBKhTx32mttmmbAHjF190Uy+A\nlCjLp1Gj8PuvW9dlRHm8rCwvaDRiBHz5ZfC6iQJsd9/tAp+LFrlsvQ8+cH83Hn0UjggYR/Lbb90+\neveGffZxtZiGDIHrrovWq7rySve64wOEiTIlw0on6P3qqy7A5/9Oese6USN45RV33N54I702fPih\n+1wOG+YKfYMLTj3+OEyZAs8/Hx0JzcuSWrsW9tvPfU5+/TW9/QXxZ8JBNAMpqF6YqdzCJvQdoKpb\nY46q+oaIlHOQyeKXy9RKY4wxxlRNquoVr+6Vatli5J0fBQWQhg2LFneODyBtu220tkw29p8NrVoF\nB5CaNXO/rHvd4157zdWlCZOB47/gbNs2miFUHqku+OvXj810qlYN2rUr/37jvfhiZnV9ip1XdBrg\n6afDrXPmmZnvr1Ur1+Xx00/d/vyZNPG878xrr7lp3bowfXry7dep46bx9bRU3fdHxAUAwhRA3rAh\nNpPIy4gKU1srVcCxZk246SZ3f889YYcdXLB03Tq3z99/d10xvbplu+zipgMHRrfx9dcuqPTee2W3\n37Fj6jam0r176mU2bHAFpQcMcI/9WWze92XlShf8OfhgF/RZsSI423DRIpf1VK1a9Bh7r98vvntg\nkO22c3+Pvv469bKpxAeKGjZ071+69aFMxRc2prpERAaLyI6R203AkpRrVXAVPU23QrEi2sYYY0yF\n4AVIgrqwff119Jdq//D2996bnUAKZP8HPn93F68eztVXx14YdemS2bZVs3M+mWobq1eHu6Asr223\nzc5FebHxf6Yefrjs817NIYgWi//228z352Xv7LVX+MLS3mfghRdcxk4yiQJI4AI1Bx7osu/C2LIl\nmtEErguVlwWTSqoufv7v2MyZLoMH3HEBF0TyB0+CAiH77gtdu8KMGWWfix9NLRM9esBDD5UN9nz4\nIfzlLy4I+N//uiwtr+5YsqycKVPc9Nln3ecuvkvr9tu7gGbfvvC//8UWIk/ljDPcdNIkd9xq1nTH\n8u9ZyGuNf0316rn/ARZAqnrCBpD6A9sCL0ZuzSPzjMmOW24pdAuMMcYYE0KyDKSVK6PdubyubKWl\ncE8W89azHUDq2tUVyQXX7WvdOvjzn9MvvBukVi1XI2batOTLpXpN9qNmYfk/C6+84qbl6brjfz+P\nOy7cOqeeGr2fbKQ+cNlyEFybaPp0V9MnWQaRl0kDLmDsf/133RU9BqmkGrnOX5Dcb+7ccNv3fPZZ\n7OPmzd20adP0tpPICSe4bmD+zK+LL3aB8W7dXJFsiM1eS1Xc/+KL3TRRYP2119wod1dfHfw8RN+X\nO+90gafbb3ePu3ePBs+2bHGZXPGjZsabMcP9HbrzzuDn44vyi7j31wJIVU+oAJKqrlDVKyLDvnaN\n3LcR2IwxxhhjqphkGUjxtTa+/rr8w8jHX0D5L6SzxeuWs802sdkW8cIGcv7yFzf9xz9c9lKikdNM\ncfM+u/4A3/r1wcv2T/HT+tSp0fvXXw/XXBN9nKywepCddkr+vJeN5gWa2rSJPle9untdyWr7+LtD\nlpZmHkxNVcR75MjMtpvKgw9md3teFz7/yGapimoH/R25666y87xuhCtXxhZMh7IFqv/4x+j99u1d\n8Ka01NWA++GHaBdA/3H3stEuuCC4nT//7P5eeaM/3nhj8HJBhfmrV3d1uCzAHV7HjvDUU9HHH32U\nvezcfAkVQBKRd0RkUvwt140zxhhjjKmsxDlTRP4aebyDiOxX6Hal4l1MB10cxhf1DRrhLF2dOrnp\nm2/CV18Fj+xUXqkyOtLlHaNsDdttF2i55y+EnsyHH5bN7Nm0KfVnvXv3aJDpqqtiuxWlU1i9Y8fU\nbfVqOu29twsqPPBA2WWSBXbjv2NhA0h33BH7OFUGUi6ceSb065fd74xXy+mKK6LHLdlra9Qotgac\nlwnldZH1H3svcNO4cfiMrWuucV3nIDa4KQKHHRa7jv/v9IQJ0dExV61yAwT07+8yqfz8y733Hpxz\nTuzzXvfNGjXgrbdcVzvjAoT+AukrV7rjfPXVLhi4336uGPqZZ7quqCNHwv77u89r3bpl/3/m0sKF\nmf/fC9uF7S/AtZHbzcBnQIrybcYYY4wxJomRwB+IlgVYAzxUuOaE42UutGxZ9rn4kakSdYdIh3ex\nfuSR0SK62da1a2zWRSK5CuQEZSt88EG01owFkHLv5ZdjH//hD8HLBY2iVb162SCLvxuYJ9WIYI0a\npc5kmjev7Lz4AID3eerSBRYsCO7K5n2P/TXAPF7WiidsFmF8ZlSqDKRsO/vs7ASt43nv7fffu2O5\nYgXcemvi5UtLXbe3sWPdYy9zqXVrVzA9vl7T9tsn3pa/EHmDBu79vOee8EFH/+fyuONccAjc3+b2\n7V3GUrzjjoN333UFvbt3hyeecPOff95ld3l/K72A18KF4dpS2Q0a5N7fH35w1VkaN3aBvvvvd3Wy\nPv44uuxJJ8Gll7r7kye7gN3DD7vRNrP9g0aQHXYIrvcWRtgubJ/4btNU9WqgZ2a7NMYYY4wxwP6q\neimwHkBVfwXyfMmVPu8X7/r1Y+cHZTlkQ9DFb7Z17BiuKHLYIb39XYZSmTHD1VyKt//+0ZHULICU\nf889l/i5OXNSrz9qVNl5d94ZrQ0W5M47o/V70hEfmPICQN7n9Ygj4O67Y5fxvsePPFJ2e/GBn0y7\nsOUqA8nr/ucfPc97nI9RtFONalZa6tpy6qkuq8Q7DjVquO5ie+wRWy9p0aLE2/Jqbam6QN4OO4T/\nO+St5/fEE+4YpfoMb9niAut+J50U+7fK+1w88YT9jfI0beoyirzxoXpFxlq95JLU6958M/ztb8mD\nk9m0bFlm64XtwtbEd2smIkcBDTPbpTEBhgwpdAuMMcaYfNskItUABRCRbYE8hEvKx7tAi+/m4hXu\nzbZ8/BobxqRJbsSnMP785+TdER59NHq/a9eyF8Lx8hFEM7FatUr8nL9+UTpq105c2Lm0FC68MLML\n8fgAjxfc9TJFGjSA666LXcb7HvsDLl7QLH57XgZSqro/Hq/eTq6CORdd5I7TrFmutlSHDm5+Nov1\nJ5MqgOP/vjZpEjy/f3+X3RPP6+bmKW+X3fjPk5c95w0ckMixxyYPdkI0MDZpUrSWU1X3/POum2u8\nH3+MHc3Rc955Zee99lrqkRazYePGzNYLG7/8BNdl7RPgfeAa4NzMdmlMAC9Ma4wxxlQdDxAZ3VZE\nbgemAnckX6Xw5s93U++i0htNKFdBjmIJnvTqFf6X/5KS2AvHeOee6zIJUtlnHze1X/fza7vtXPDD\nC4CEPf7exXlQ97VU/PtLl7+L2dtvu8/f6tVlg0aJ9uvxglvxXdbCtqu01GXTPPCAy0pp0CB8NsV+\naVR/8wKuHTu6IIxXNLxhntIbEnVvBOjcGaZMCX4u/nMUFDgePDh6f/RoOO209NuXbJ/Z5A80Ll+e\nu/0Uq2XLYPhwFzAN8x2ZNMm9H4ccEp3ndcu+/vrovE8+Sf4Zy5b4ou1hhQ0gdVbV9qraTlU7quqR\nwMcp1zLGGGOMMYFU9SngOuBO4EfgBFVN0nGmOO2+u5vmIlOobdviCSBl24IFqYfAPuOM/LTFxPKP\ntpUO72LQ677Wt6/rrtS2bXbalYg/+8Mroly/fvojIHoXlEuXBj+fKhixebOr81OrFgwc6C6qb745\ndpn44eA9xx2Xun39+rlpqoy9fDjooNjHe+3lpgccAN26Ba8Tf/y8WlX+Gmhe4Hm33eCss1xAyT9q\nV7rCBpDGjXOFnf0jvfntuGPZef4uiqmylYrZhx+6mkXdu8MxxyRfduLE6P+6v//dFcT/17+iz/tr\nAw4e7OqQXXCB+1vgBZnOP9/N+/RTVwfpuedcsHf33RNnKOZCqv8/iYQNIL0XMO/9sDsRkRIRmSEi\nr0QeNxaRiSIyR0TeFJGGvmUHicg8EflKRI4Muw9jjDHGmIrAXxoAWA48AzwNLIvMK+/2TxaRL0Rk\ni4h0i3su8DxLRLqJyOciMldEhofd17ffwp57uvv+AFJ8dk27dtCnT/qvpUGD4unClgtha8tYBlLF\nEJ+h9tJLMHNmNGsvDC8g69emTWyGQjyvZpG/4HJYIjBmjLvvBZDGjw9eNtHncNAgN/UygeI98ki0\nRld/epsAACAASURBVFqiC+QwGRxe17z4ovOF+H68H7kS7tHDTXfe2U2TFQ5PlIHkn+8dn1mz3LRd\nOzj99Mzb6W07KADkmTgRTjnFBY8SBZGC3h//3681azJvY6HccgtMn+6mQ4e6EefefddlmwbVuTrr\nLDjqKLfOunWxIyl6fvwxesw3b4Yvv4R//jO2y+CZZ7p5e+3lPssnn+wCh59/Htu92at/lSs5CSCJ\nSEsR2RuoIyJdIycX3USkJ5BOj8wrgNm+xzcAb6tqJ2ASMCiyvy5AP6AzcAwwUiQfpdCMMcYYY/LG\nXxrgJ2AuMC9y/5MsbH8W8EfgXf9MEelM4vOsh4FzVXVnYOdIvcuU2rd3v7h/911sOnx8bY/DD4+O\n/hPWt9+6C5vKmoGUDgsg5cfjj8c+DnMV4h95rGnT8tf9Ofdc95l//vnovHbtyhat9/MCV+kUV/b4\nu8553+E7EnSk9Qdz/SOH3XGHu6COH0Lec/750a5YYdroDW0f38XGC84UIgMpPjMlPrDdpYubJiqC\nvu22rnubX/zr8AplZ5P39zPZ5zLT+nX+bVaULmz+uj9Dh7q6Wf7P5Lp1blS0qVPLrvvvf7vpsGGu\nRlQueKPr1arlRrf74IPc/f3PVQbSUcDfgTbAfcC9kdvVwI1hdiAibYDegC+eRl/AG5tgFHBC5P7x\nwFhV3ayq83EnU2n0iDXGGGOMKW6RkgDtgbeB41S1mao2BY4FJmZh+3NUdR4Qf8nQl4DzLBFpCdRX\nVa88wWii52YplZS4C1x/oKdevbLLpKt9e9cdIJ0RzSorCyDlR7rH+c034Ztvoo/r1St/wNML6Piz\nO6pXj/0OxQcevAv5TANIHi+zJ1HhZv938ZRTYoNa8VlBifbjtTHZaHNDhrhMjPhgindMkmX55Mrr\nrwd/Prz3e6edXLbJjQmukJcvL5uZGZSBlO3veqIA0pYt8Pvvbn/xBeO9wN1DD7lpzZrRQuWJnHWW\ne/3+7pRPPOGCIIWwfDnMnRs7b8sWd8xXriw7P16ygNv48a6eUTLPPQfXXhuurX5eFuG++7qsvT/8\nwX2mcpGNlJMAkqqOUtVewEBV7eW7Ha+qL4Tcx/3AtURGGIlooarLIvtYCnh/QloD/o/Z4sg8U9lZ\nEW1jjDFVzwGq+rr3QFXfAA7M4f4SnWe1BvwDSS8ig/Mvr/bDs8/GFu897TQ3ulSm+ve3EX4sgJQf\n3nFOlEkT78g8FduoVi02mBL/eShvAOnkk+HVV12m4FdfJf68eQXzAe69112IvxdU6CTBfrw2Pvww\nXHZZ4mX79HGZWAAPPhjNXvSOQfzFfbazdtLhBWiqVXNZSKkCaX433eS69/ll+7vubS/+s1FSAnXq\nBK/jHd+OHV2QcOlSePHF1PvabTdXyNwbgfKcc1yR6UJo2RI6dYqd9/33bjpsmKs/BC7Q85//lF0/\nPkiZqDB6Il63tHR5waz27eH//s/dv+su9z48/7yrpybiMqXKK9Mi2kl7XovImar6b2BHEbk6/nlV\nvS/F+n2AZar6WaTbWyJpf1WG+gIOPXv2pGfQuHim4vA6nxpjjKmyJk+ezOTJkwvdjHxaIiKDgUhi\nPGcAS8KsKCJvAS38s3DnUzep6qtZbWUZQ7f+y/afgx1wAKxf737h9X4t/b//K1/wCNzJcrLuO5Xd\n0UcH18Ux2eddbJ99duz8e+91GQdXXZX/ttSrB/vvHxsACAoglZSUHQI+DBH3nfW65OyyS3D3nSAl\nJeFHi/IHkC66yNWFeughl8XVvj2MGOGe79kz9rX++c/R+wcdBMcfX3bbTz2VeeHz8vIu+DMJYnXs\n6G7+15jtLrteYN8fdEtVlHvwYHjlFReACRO8HzECrrgi+njOHDgw8lPIG2/ADTck/mxOnRotSL5m\njQsW9u+fep/xNm92Rb0XLXJFsb3viPe6q1eP7aKZqJumZ+xYN5qitx3/yGm5tPferij3qwH/xU85\nJXp/zpxo4fZM+TOQ0jn/SlW6z0tAzqAkGwDdgeNFpDdQB6gvImOApSLSQlWXRdKmvV6TiwFfj1ra\nROaVMdSCDcYYY0ylEv+D0C233FK4xuRHf2AI4P22+7/IvJRU9YgM9pfoPCv0+ZczNOFvPl6XDG90\nnsaNM2ilieENDW9yL1H2xx57uG4+V13lMgAWLMhfW7zixPff76b/+AdceWXssiUl8MMPsaNihRXf\n3RSCgxjDh5fvgjU+S2rHHWODPt7zXuZRUJsSdStq3drdCsELIGWS/RUk2wGkc86BE06AO+902WLT\npqVu6777ppcJFZ+t8+670QDSV1+57oqLF7vuWV6NH4BVq+Dgg129u2eecbWYTj8dTjop/W6K+0WK\n3txwQ7RWkV+YbJtdd3Xd8MB1WQT3mfv118TrXHaZy5LLlpo14bzz4Mknky/XtWv5s9X89aDSOf9K\nGkBS1X9GphmdwanqjURqJYlID+AaVT1LRO4BBgJ3A2cDL0dWeQV4SkTux6VOdwA+ymTfxhhjjDHF\nTFVX4AYaySX/JVfgeZaqqoisEpH9gI+BAcAD5dmpdyFrQ6GYiiTZxXuirkC55n2HLrzQZQf17u26\ngHkXuuAuOjMJoCxZEjxyWtCF6RXl/EsVtpvdmWcmX7/Y+LuwZapjx2igsG3b8rfJr6QEmjVzWXS5\nEh+4vPFGuOSS2HmtW7vRzSZNcpkvzz7rss0gthA9uG6AGzeGH6Vy2bJol7Sg4FFYw4a5gu+9erks\nLe97MG5c8PKdOrl6Xeec4z6f2Rwx1NtW48aJA1ilpeX7e5STLmweEdkWOB/Y0b+Oqp6T2W65Cxgn\nIucAC3AjgqCqs0VkHG7Etk3AJarW69sYY4wxlY+IvENAN35VPbSc2z0BeBBoBkwQkc9U9ZgU51mX\nAk8CtYHXVTWgKkR43kltNk+ojcm3Sy5xhYYh+ln+05/gr3/N/b579XJdiTz16rngEbgh5EtLXfev\nU0/NLPMIgoNHkDoL5s0309+X9zehWANBmcpGBtJ770WDFbvvXnFqnu21l+tuFfR5adSo7Lx33nHd\n9bzi3IkCM6ouyy8+sBTkiSdcAKc86tRxNYVKSlwXuDvuiH0Pgv6Pvf++y0ysW9eNvpht3j6TZWJV\nqwb33Zd519pMi2iHjOvxMjAFN1pIRqcCqvoukeFkI7+4HZ5guTuBOzPZhzHGGGNMBfIX3/3awElA\nhr8JRqnqS8BLCZ4LPM9S1U+ArFfayfQXTmMKIf7C3V8AuEkTV9z55ptdV5yry1SHza5GjeC224Kf\n82qCHRoJNXvD3mdLsgBGpsGN8hT6LkbDhrlRtrzgSXm66/q7dVUkNWq47lZesecwvOARQL9+iZfr\n0CHxZ61nT1fwffDg2PpRyTRs6LrM7b47zJrlajL99JN7rn17l9HnfTbju3VuE1DM54ADwu03U172\nlRdImjgxWrS/pCT6ubv66vwHkMJ+heuq6vWqOk5Vx3u3zHZpTIAhQwrdAmOMMSavVPUT322aql4N\n9Cx0u7LJMpBMRZIsOFKzZnQ0sGLRrJlrc4sWqZdNh3ccLrgge9usbAGkv0TC/6Wlbqj6fBVZLka5\n+js/d67LCIr37rtu9DSRaIYguM9t69bBBbuvv95Nd9nFTf0DM3hZPt5ntG7d2HUHDMis/eUxbhzM\nmBE9tgce6IJgkFmdrAceKPv3LdcBpAmRQtjG5IYVRTfGGFPFiEgT362ZiBwFNCx0u7LJAkimIgmb\nXTNwIIwaldOmFJR3HHbbLXvbrGwBJE9pKbRpU+hWFFa2/s7HD3vfqZMrsh3k88+D5y9a5Ab3BmjX\nLjrfC760auWmXobPFVdEswn9Ix8WWps2rlC2d2zr1YOVK90xqVMndtnrrnNF9IN89x0sX+5e58yZ\nsc+FHW0xXtiv8BW4INI6EVktImtEJMSgfsYYY4wxJoFPgOmR6fvANUCCMYgqpspW78RUbt4FZKru\nKY0bFyYrIV+yPRIYpA4gVdS/FRYkj35eggqtd+0avI73OfB3f3vxxbLLzZ/vpitWwOzZbkS5VE45\nxXU/9QeEvaBQs2axyw4fHi3c7n0GiyGA5InvBj51KsyZ4+736eOmw4bBTTeVXXfmTFdHystQ7Nq1\nbEHu++5Lv02hAkiqWl9VS1S1jqo2iDyuoL01jTHGGGOKQmdVba+q7VS1o6oeiRsFrdKoqBeFpmry\nLjg7dixsOwpt113dhWc2izlX5gykqs4Log0fDm+9FfvcjBmu0HW8M890n69TT43O87KCevSIXXbh\nQleoetdd4eWXSalZMxfM8r83TZvCRRdBrVrucbL/TckKV+dbv35w4onRx82awfbbu/v+rnqvvOKy\nk/z22qvs9uJHa7zmmvTbFHYUtm4Bs1cBC1TVyiMaY4wxxqTvPSD+HOv9gHnGmDyoKKNf5Vrr1vDN\nNzBiRPa2mSqA1Llz9vaVL489Zt3XIDYLq23bss8Hvedelo9/tLbq1V2wqF692O5sYbpaBWU6+TOJ\natSAhx92o6ftvHNwAMmb501r1Mi8TlC2BAXfPP5aTatXu5unefPgddatg+efd0GyjRvdvKVLoWXL\n8G0KOwrbSNzJzKzI492BL4CGInKxqk4Mv8uKw/6JGGOMMSbbRKQl0BqoIyJdAe9UtgFQN+GKxpic\nsnP/WH36wEcfZXebiTI/Tjih4h3/8g4fX1n4M32C3t+gAJI/y2f//eHDD13AJiggd/rpqdsQNOLn\no4+6rm/HHRdt1x/+4LqAJQtYep/Ds8922yhWiboHQnSEuSCnnAK1a0cfb7ddet+9sEmES4Cuqrq3\nqu4N7AV8BxwB3BN+d8YkYEW0jTHGVB1HAX8H2gD3AfdGblcDNxawXaFMmRJ+WevCZiqSihbAyLUO\nHeCpp7KzrcpybNMZsr6q2LAhej8oWBQ0z/+/4YMPXGHoHXZIb79nnx29H5QpdOCBcOyxZfcHLoDk\nD6L4l2nf3k39mVU775xe23JNtXwj/61fX/bxhx/C00+nXjdsAGlnVf3Se6Cqs4FdVPW78M2seOyk\nJ4+8cvnGGGNMJaeqo1S1FzBQVXv5bser6gv/3969h8lR1fkff39CSAgkYABJXBAQSIAgEANE+AEy\ncmfZHwSWq9zF5aeAsIq7gihJ9gLCriu4+5DHRwEBBR5QkIBAuA4qcgkmEkjGJIBcAiSKIuGaTSbf\n3x9Vnanp9PT0zHT1bT6v56mnq05VnTpd1ZfT3z7nVL3L15t99ql3Cczy0SpBjkY0fDiceGK9S2F5\n2HrrrvlKx7gq3u7995Nxigp22SV5LDce0Xe+0zXf22Dmxb/rb7opuTtZqW223z75LMjmme1q1yiK\n78YG8OabcMMN3dMuvhiOOqp8XpMmJWNPnXRS78ettAvbfEkzgFvS5eOBBZKGA3XuGWhmZmbWPCSd\nHBE/BraW9NXi9RHRj/uimNlAOYCUnyFDKmvd0Oj23x8OOqjepWgsp53WdVfCUg0wCu+rvfZKxiCC\n3gNNP/tZMpj9JpvAG2+U3mbddbvm+xpAWm+9tVsgFct2zRs/Puled/vtMH9+z/vUUqkA0h13wFln\ndU/7t39LHss1juno6JqfMaP8cSsNIJ0OnA38Y7r8GPA1kuDRZyvMw8zMzMygMLTnyLqWogbcmtua\niQNI1ptx4+D+lhz9d2AqucteNuDRWwBp222Tx499rHwAadWqZPDt3u6GV8l3UfE2e+2V3N1s+fJk\n3SWXJN3sJkzoPa9aKBVAKg4e9cfZZ5dfX1EAKSI+oKt/frF3+1wqMzMzs0EqIr6fPrr/tlkD2XTT\nepfArLmVCgwVArM33ZTc8WvixN4DSBKMHJmMVTRnTjLw8223dd9m3XVhnXWS+XItkGbMSMZD6quz\nz04mKZl23RW++92+55OXUgGkahg1Ct55p+f1FQWQJI0DLgMmAGsae0XENgMsn5mZmdmgJOmjwD8A\nW5Opk0WE7+1jVgcnn+zuSWYDkQ0MHXlk8lgIII0Zk0xQWYugd95Jgk2F+WJD02/NiRNhp516zueL\nX+z9WM2ocK6PPjrpWtdXS5cmd8B7+eXu6eWCR1B5F7brgKnAd0m6rJ1B5QNw527ZMth44+79IK3J\nTJ1a7xKYmZnV2p3Ar4AHgV5GcGhO7sJmzWTIkKTLjJn1T/Yz/7rrksdSXUMrHWy78Pt+1qyet5k7\nt7K8elPu+6qRv8v6GwMZM6b03et6U2kQaEREPAQoIl6OiGnA4b3tJGm4pCclzZU0X9KlafpoSfdL\nWihplqSNMvtcJGmxpA5JB1dSuLFjuwaHqib3g66hadPqXQIzM7NaWz8ivh4Rt0bEzwrTQDOVdIyk\n5yR1SpqUST9Q0tOSnpE0W9JnM+smSZonaZGkKwdaBjMzG3yygaFC97Letiun0Mpo4427p+fxO73V\nAkjl7mBXsGJF349XaQBphaQhwGJJ50o6igoGfoyIFcBnI+JTwC7A/pL2Bi4EHoyI7YGHgYsAJE0A\njgN2BA4DrpYqu1xLl1b4TMzMzMwaw92S/jaHfJ8FjgIeLUr/E/B3EbEryQ1SbsysmwGcGRHjgfGS\nDsmhXGZm1sLyCiCNHt2VdumlfS9XJRo5SFTO0B76lFUSZPvww74fr9IA0vnA+sB5wG7AKcBplewY\nEe+ns8PT470FHAlcn6ZfD0xJ548AbomIVRHxErAYmFxhGauuWV9EZmZm1hTOJwkifSBpuaR3JC0f\naKYRsTAiFgMqSn8mIpam8/OB9SStK2ksMCoiZqeb3kBX3WxAXJcyMxucCkGigXRhK9hgg675PL5X\njj4adt65+vnWwltvVb7tZZclj9PTW3jk1gIpImZHxLsRsSQizoiIoyPiiUr2lTRE0lxgKdAeEQuA\nMRGxLM17KbBZuvnmwKuZ3V9L08zMzMxaSkSMioghETEiIjZMlzesxbElHQPMiYiVJHWtJZnVS3D9\ny8zM+mj16q75arRAKnRdy3bH6mvwqRI/+xl85CM9r2/kP0Puv790enHg7qqr4Mwzk/lNNkkeV63q\n+/HKDqItaWa59RFxRG8HiIjVwKckbQjMktQGFMch+9yLcVq3MXPaiGjraxa9auQXipmZWatpb2+n\nvb293sWomez4RBlvAy9HRNlqnaQHgDHZJJL61MURcVcv++5Ecnfdft1vKlsHa2tro62trcyx+nME\nMzNrRtmgRTVaIBW+Q7IBpPXX71/ZBqKRv8sKgbqNN4a//KUrPRvMAzjvvK75zrVu29GeTr3r7S5s\ne5G0CLoZeJKiptB9ERHLJd0D7A4skzQmIpalzab/mG72GvDxzG5bpGlryVZeCk2wrIlNm+aBtM3M\nBrniYMT01v+CvxqYRDJmEcDOwHPARpK+FBE9/K8IEdGv4I+kLYDbgVPS4QKgD/UvKP4Tz8zMLJEN\nFhUCG8UBpJ/8BA6pcJS9wr4jRiSPu+4Khx02sDK2msIYSMcfDzNmdKUXB5CyCgGkAw6Ahx4CaAPa\n2HtveOwxgJ7rX73F/sYC3wA+CVxF8k/VmxHxaEQUD8y4FkmbFu6wJmlEuv9cYCbJ4I2QjKV0Zzo/\nEzhB0jBJnwC2A57q7Th5aeRIY8tp/R8JZmZmxV4HPhURu0XEbsBE4EWS+tIVVTrGmtpMWie7G/h6\ndiiCdDiBtyVNTm9ecipddTMzM7OKbLYZ/Md/JPOF39LFAaTPfa6rC1Vvdt89aX303/+dLN9/P2y7\nbXXK2heNHBcoBOpKdRns6Q5theDSgw/CG2/Aeusly5W07iobQIqIzoi4LyJOA/YEngfaJZ3be9YA\nfAx4JB0D6QlgZkQ8BFwOHCRpIXAA8O30eAuAW4EFwD3A2RF53KSvMo38QjEzM7OmNz4dzBpYUw/a\nISJeHEimkqZIepWk7na3pHvTVecC2wKXSJoraY6kTdN15wDXAIuAxRFx30DK0FWWauRiZmbNYMgQ\nOOOM6uX3zW8mdwobk3bYruTW9Hlo5O+yQguks87q3ibjgAPgiF4HHIKxY2HcuGT+Jz+p4Hi9bSBp\nOHA4cCKwNfA94I7es4aIeJakaXZx+l+AA3vY5zKSfvl9Ur8wk5mZmVm/zJc0A7glXT4eWJDWvVb2\nN9OI+Dnw8xLp/w78ew/7/JakC52ZmVm/VfN3eSFwUwiS1CuA1MgKLY/Gj4dLLoGpU5PlBx8svf0j\nj8Aee5Re99GP9n683gbRvoGk+9o9wPSIeK73LM3MzMysAqcDZwP/mC4/BnyNJHj02TqVyczMrN+K\nu1JVI6BUyHP48IHn1WoK3c4KwbYDD+w5eARQ6r4XfblGvY2BdDIwDjgf+I2k5en0jqTllR8mf3k0\nK2vkpmpmZmbW3CLig4j4TkQclU7/GRHvR8TqiHi33uWrBtelzMwGl9Gj4blMs5NqBJAKd20rNc5P\nLTTqd1lHB0yYkMwXxjs68cR8j1m2BVJEVHiDPbMBKrS1MzMzGyQkjSPptj8BWK+QHhHb1K1QZmZm\nA7TTTtXNb7314Iknet8uL40aQNphh2SMKOgqY7m7r1VDywSI8hgDqVFfKC3JtwQ2M7PB5zpgBrCK\npMvaDcCP61qiKnNdysxscKvW7/RPf7o6+bSaj3+8+3LeAaReB9E2MzMzs1yMiIiHJCkiXgamSfot\ncEm9C1YtDiCZmQ1urXCzq0b+Lhs1qvtyfwJIV1wBixZVtq0DSGU08gvFzMzMmt4KSUOAxZLOBV4D\nRta5TGZmZpbRyHGBadPguOO6lvsTsDvssGQCeOEF2Hbbnrd1AMnMzMysPs4H1gfOA/4V2B84ra4l\nqqJvfQsOOqjepTAzM+u/G2+Effetdyl6ttFGsNdeXcsD7cK2TS+jMLZMAKkVmsaZmZnZ4BERs9PZ\nd4Ez6lmWPPzLv9S7BGZmVm+jR9e7BANz8sn1LkHfdHbmm3/LBJDy0MhN1VrOtGkeSNvMzAYFSTPL\nrY+II2pVFjMzszwdcwy88kq9SzF4eBDtOnIAqYamT3cAyczMBou9gFeBm4EnAdc4zMysJUlr3ynM\n8pN3zywHkMzMzMxqayxwEHAi8DngF8DNETG/rqUyMzOzppZ3C6Qh+Wbf3NwCyczMzKotIjoj4r6I\nOA3YE3geaE/vxGZmZmbWL+7CVkcOIJmZmVkeJA0HDidphbQ18D3gjnqWyczMzJpb3l3Ycm2BJGkL\nSQ9Lmi/pWUnnpemjJd0vaaGkWZI2yuxzkaTFkjokHZxn+czMzMxqTdINwOPAJGB6ROwREf8aEa9V\nKf9jJD0nqVPSpBLrt5T0jqSvZtImSZonaZGkK6tRDjMzM6utZu/Ctgr4akTsRDJg5DmSdgAuBB6M\niO2Bh4GLACRNAI4DdgQOA66W3A5oUJg6td4lMDMzq5WTgXHA+cBvJC1Pp3ckLa9C/s8CRwGP9rD+\nO8A9RWkzgDMjYjwwXtIhVSiHmZmZ1VBnZ77559qFLSKWAkvT+XcldQBbAEcC+6WbXQ+0kwSVjgBu\niYhVwEuSFgOTSe5Q0suxql58qyXfgc3MzAaJiMj1D7yIWAhQ6k84SUcCLwLvZdLGAqMiYnaadAMw\nBZiVZznNzMysuobmPEhRzQbRlrQ1MBF4AhgTEctgTZBps3SzzUlua1vwWppWF277ZGZmZq1C0gbA\nPwPTgWwtZ3NgSWZ5CXWsf5mZmVn/nHcePP54fvnXZBBtSSOBnwLnpy2RitsL9bn90LRuLVbaiGjr\nfwF74ACSmZlZ7bS3t9Pe3l7vYjQFSQ8AY7JJJPWpiyPirh52mwZ8NyLeH8gIAdk6WFtbG21tbf3O\ny8zMzKpnxAjYc8++7dOX+pci575fkoYCdwP3RsRVaVoH0BYRy9Jm049ExI6SLgQiIi5Pt7sPmBoR\nTxblGdlyS3D66XDdddUt+xe+ANdc4+5xZmZm9SCJiPDfOf0k6RHggoiYky7/kmQoAYDRQCdwCXA7\naV0s3e4EYL+I+FKJPCPvuqOZmZnVT7n6Vy26sF0LLCgEj1IzgdPT+dOAOzPpJ0gaJukTwHbAUzUo\nY0lugWRmZmZNbk1tJiI+ExHbRMQ2wJXApRFxdTqcwNuSJqfjJp1KV93MzMzMDMg5gCRpb+AkYH9J\ncyXNkXQocDlwkKSFwAHAtwEiYgFwK7CA5O4gZ1f6N1cef4Y5gFRDHkTbzMysKiRNkfQqsCdwt6R7\nK9jtHOAaYBGwOCLuy7OMZmZm1nxy78KWh1Jd2E47DX70o+oe56yz4Ac/cBe2mpB8os3MrBt3YWs8\n7sJmZmbW2urdha0mXJcxMzMzMzMzM8uHA0hmZmZmZmZmZlaWA0hleAwkMzMzMzMzMzMHkMpyAMnM\nzMzMzMzMrIUCSNbkpk6tdwnMzMzMzMzMrActE0ByC6QmN21avUtgZmZmZmZmZj1omQBSHhxAMjMz\nMzMzMzNroQCS78JmZmZmZmZmZpYPB5DMzMzMzMzMzKyslgkg5cFBKTMzMzMzMzOzFgogOdjT5DyI\ntpmZmZmZmVnDcgCpxnlaD6ZPr3cJzMzMzMzMzKwHDiDVOE8zMzMzMzMzs2bjAJKZmZmZmZmZmZWV\nawBJ0jWSlkmal0kbLel+SQslzZK0UWbdRZIWS+qQdHCeZauEg1JmZmbWbCQdI+k5SZ2SJhWt20XS\nb9L1z0galqZPkjRP0iJJV9an5GZmZtbI8m6BdB1wSFHahcCDEbE98DBwEYCkCcBxwI7AYcDVklTp\ngdyFzczMzAyAZ4GjgEeziZLWAW4EzoqITwJtwMp09QzgzIgYD4yXVFx/MzMzs0Eu1wBSRPwaeKso\n+Ujg+nT+emBKOn8EcEtErIqIl4DFwOQ8y2cNZOrUepfAzMysJUTEwohYDBT/EXcw8ExEPJdu91ZE\nhKSxwKiImJ1udwNd9TMzMzMzoD5jIG0WEcsAImIpsFmavjnwama719K0irgFUpObNq3eJTAzM2t1\n4wEk3SfpaUn/lKZvDizJbLeEPtTBzMzMbHAYWu8CAP0K00zrFnBoI6KtKoXJarYAkgSrVsE6lc07\nPgAAEY9JREFU69S7JGZmZn3X3t5Oe3t7vYvRFCQ9AIzJJpHUqS6OiLt62G0osDewO/Ah8JCkp4Hl\nfTl2tg7W1tZGW1tbX3Y3MzOzBtKX+pci5yiJpK2AuyJil3S5A2iLiGVpk+lHImJHSRcCERGXp9vd\nB0yNiCdL5BnZcktw1FFw++3VLfvnPw/XXdc8gSQJPvwQhg+vd0nMzMwGThIRUfF4iNadpEeACyJi\nTrp8PHBoRJyRLn8T+AD4CWl9LE0/AdgvIr5UIs/Iu+5oZmZm9VOu/lWLLmyiex/8mcDp6fxpwJ2Z\n9BMkDZP0CWA74KlKD+IubGZmZmZrydbBZgE7S1pP0lBgP2B+OqTA25ImpzcwOZWu+pmZmZkZkHMA\nSdJNwG9I7ubxiqQzgG8DB0laCByQLhMRC4BbgQXAPcDZffmLy8EeMzMzM5A0RdKrwJ7A3ZLuBYiI\nvwL/BTwNzAGejoj70t3OAa4BFgGLM+lmZmZmQA26sOWhVBe2I46AO6v8X9npp8P11zdPcEqCFStg\n2LB6l6Qfpk3zQNpmZtaNu7A1HndhMzMza2317sJWE4O9C1szlbWk6dPrXQIzMzMzMzMz60HLBJAG\nu0IAqekDSWZmZmZmZmbWcFomgJRH4OTPf65+nnlx4MjMzMzMzMzM8tIyASTlMELCSy9VP8+8OZBk\nZmZmZmZmZtXWMgGkPKxeXe8SVM5d2MzMzMzMzMwsLw4gldHRUe8SVK7pA0dTp9a7BGZmZmZmZmbW\ng5YJIOXRha2ZNH0LpGnT6l0CMzMzMzMzM+uBA0gVaIbBtAuBo1Wr6lsOMzMzMzMzM2s9LRNAGjo0\nv7z/93/zy7vaHEAyMzMzMzMzs2prmQDSsGF93+eVVyrb7vnn+553rRVaIK1cWd9ymJmZmZmZmVnr\naZkA0pIlfd9nq63gzTd73+6++/qed60V7hjnAJKZmZmZmZmZVVvLBJB+9av+7VdJ97RLL+1f3tX0\n/vvlg0OFdU0bQPIg2mZmZmZmZmYNq2UCSNX2xz9WJ58bb6xOUOcjH4Gzzup5fSEQ1rRjIE2fXu8S\nmJmZmZmZmVkPGjKAJOlQSb+XtEjS1/M9Vun0RYu6Lz/zTP/yP/VUePLJJMDz4Yd92/eWW+C115L5\nlSth3ryety0EkOrZAqm9vb1+B29iEfkF/nxNGpOvS+PxNbFWIukYSc9J6pQ0KZM+XNJNkuZJmi/p\nwsy6SWn6IklX1qfk5s+i/Pkc58vnN38+x/ny+S2v4QJIkoYA/wMcAuwEnChph+LtOjuTx8LYP5X4\n4hcra+jy4Yew777d0yZOhI6O5Md+YcDqSnV2wpQpsOOOfdvvxBPh8su7lst1t+tvAGnpUpg7t3va\n6tXw05/2LR/wm62/br4Z1l03n7x9TRqTr0vj8TWxFvMscBTwaFH6CQARsQuwO/D/JG2ZrpsBnBkR\n44Hxkg6pVWGtiz+L8udznC+f3/z5HOfL57e8hgsgAZOBxRHxckSsBG4BjizeaNttk8fZs7vSJJg1\nK3ksTKecAldfnQREvv/9ZKidww+Hww5L9lmwAA44AK64AsaOhZNOghEjuvJ89dWu+QkTYMiQZMoe\no9T09NNdQZ2334Y5c+Cll5L8li9fO/C1ejX8/vdw7bXwwgtdQar33uvaplwAqdA66aGH+hbgOvRQ\nmDSpe9of/gDHHtv3QFm11Ou4fbV8eXXyefnl6uRTK7fd1rfAbTNYvbp/A/HXy2OPNc/7xLrra0tU\ns/6IiIURsRgobme9FNhA0jrA+sAKYLmkscCoiCjUqm4AptSswGZmZtYUhta7ACVsDmTCNiwhCSp1\n8/LLpbufHXpo9+Uf/ziZsu65p2v+wAOTx4cfTh5vuqlr3ciRsMUWSQuiddapuPwA7LFH1/yRmfDX\nllt2327bbZOAUU+uvTaZIOlWN2wYbLBBEuwqWLmyK48LLkim4cNh7727tolInscbb8CoUbBiRfKj\nuaMjWd/WlgSoIrqCcp/5DKy/ftd5zv5gLbTEyqa99BI89VSSb0TPj6XSngR23x2WLUt+yBeuY/E1\nLnQFXLECPvgA5s+Hgw9ee7vs9So+diEtGwzMKvW6yj7PFSuS4y5blrx+hg7t2ufee2HXXWH06KRV\nUSH/1auTbmqdnWs/FlqAHXJIUu7CtVq9Opk6O+GXv0yu+z77JGlDh3Y9Hyk5TqkyL16cXJOC995L\nth0xIsln8eJkebvturrSlZtWroQXX4RddkneGz11AW10xa+FefPg9de7rkFvpIEFcBYt6h78rkRn\nZzKY/rvvdr1mdtkFNt+8/HUoVc7s9qU+3wb6/HpTyLuScmfLIiXlLfV6z25XeF9kj5FdV3jMzr/w\nQhKYK7Wup/06OpL3wSabJO/JQrmKz13hM+jNN5M/Ewp/YBQ/z0JgtvBcSr2/r7gCPvnJ0ufMrDcR\nMUvSycAbwAjgKxHxV0m7kdS3CpaQ1MfMzMzM1lA02N/Ykv4eOCQizkqXTwYmR8R5mW0aq9BmZmaW\ni4ho0lB1viQ9AIzJJgEBXBwRd6XbPAJcEBFz0uWTSLq2HQdsAvwKODSdvywiDk632wf454g4osRx\nXQczMzNrcT3VvxqxBdJrQLadzhZp2hquTJqZmdlgFhEH9WO3vYE7ImI18CdJj5GMhfRr4OOZ7daq\ne2WO6zqYmZnZINWIYyDNBraTtJWkYSQDPs6sc5nMzMzMmlE24PN74AAASRsAewIdEbEUeFvSZEkC\nTgXurHlJzczMrKE1XAApIjqBc4H7gfnALRHRUd9SmZmZmTUHSVMkvUoSILpb0r3pqu8DwyQ9SzL8\n4DURMT9ddw5wDbCI5GYm99W63GZmZtbYGm4MJDMzMzMzMzMzaywN1wKpN5IOlfR7SYskfb3e5Wl1\nkl6S9IykuZKeStNGS7pf0kJJsyRtlNn+IkmLJXVIOjiTPknSvPS6XVmP59KsJF0jaZmkeZm0ql0D\nScMk3ZLu87ikonsFWik9XJepkpZImpNOh2bW+brkTNIWkh6WNF/Ss5LOS9P9fqmTEtfky2m63ytN\nxvWv/sv7e3ywq8Vn/2AmabikJ5X8Fpgv6dI03ee3iiQNSb8PZ6bLPr9VJP+mrZ6IaJqJJOD1PLAV\nsC7wO2CHeperlSfgRWB0UdrlJHdnAfg68O10fgIwl2Rw9q3Ta1Vo5fYksEc6fw/Jnfbq/vyaYQL2\nASYC8/K4BsCXgKvT+eNJuo3W/Xk3+tTDdZkKfLXEtjv6utTkmowFJqbzI4GFwA5+vzTkNfF7pYkm\nXP8a6PnL9Xt8sE+1+Owf7BOwfvq4DvAEyYD8Pr/VPcdfAX4MzEyXfX6re379m7ZKU7O1QJpM0i//\n5YhYCdwCHFnnMrU6sXZLtSOB69P564Ep6fwRJBX3VRHxErAYmCxpLDAqIman292Q2cd6ERG/Bt4q\nSq7mNcjm9VPSAVatvB6uC3QfsLbgSHxdchcRSyPid+n8u0AHyd2k/H6pkx6uyebpar9XmofrXwNQ\ng+/xQa1Gn/2DWkS8n84OJ/ld8BY+v1UjaQvgb4EfZpJ9fqvLv2mrpNkCSJsDr2aWl9BVEbV8BPCA\npNmSvpCmjYmIZZB8aQObpenF1+e1NG1zkmtV4Os2cJtV8Rqs2SeSQez/Kmnj/Ire8s6V9DtJP8w0\nhfV1qTFJW5P84/8E1f3M8nXpp8w1eTJN8nulebj+VX3V/B63VI6f/YNa2r1qLrAUaI+IBfj8VtN3\ngX8i+d1V4PNbXf5NWyXNFkCy2ts7IiaRRMXPkbQv3T/cKLFstVfNa1CqVYBV5mpgm4iYSFLJ+k4V\n8/Z1qZCkkSQtUc5P/43O8zPL16UCJa6J3ytm3bkuNUA1/uwfVCJidUR8iqRl176S2vD5rQpJhwPL\n0lZ05b6/fH4Hxr9pq6TZAkivAdnBMbdI0ywnEfFG+vgn4OckzdiXSRoDkDbl+2O6+WvAxzO7F65P\nT+nWf9W8BmvWSVoH2DAi/pJf0VtXRPwpIgpfPj8geb+Ar0vNSBpK8gPixoi4M032+6WOSl0Tv1ea\njutf1ee6VBXV4LPfgIhYTjLuy+74/FbL3sARkl4Ebgb2l3QjsNTnt3r8m7Z6mi2ANBvYTtJWkoYB\nJwAz61ymliVp/fTfHCRtABwMPEtyzk9PNzsNKHxRzwROUHJHnE8A2wFPpU0C35Y0WZKAUzP7WGVE\n938lqnkNZqZ5ABwLPJzbs2g93a5L+uVTcDTwXDrv61I71wILIuKqTJrfL/W11jXxe6XpuP41cHl+\nj1v+n/2DlqRNC92MJY0ADiIZYNjntwoi4hsRsWVEbEPy2fpwRJwC3IXPb1X4N22VDWQE7npMwKEk\nd1dYDFxY7/K08gR8guROK3NJ3mQXpukbAw+m1+F+4COZfS4iGam+Azg4k75bmsdi4Kp6P7dmmoCb\ngNeBFcArwBnA6GpdA5IBEW9N058Atq73c26GqYfrcgMwL33f/Jykb7WvS+2uyd5AZ+Zza076nVG1\nzyxfl6pdE79XmmzC9a+BnLtcv8cH+1SLz/7BPAE7p+d0LvAM8LU03ee3+ud6P7ruwubzW73z6t+0\nVZwKt6MzMzMzMzMzMzMrqdm6sJmZmZmZmZmZWY05gGRmZmZmZmZmZmU5gGRmZmZmZmZmZmU5gGRm\nZmZmZmZmZmU5gGRmZmZmZmZmZmU5gGRmZmZmZmZmZmU5gGRma0jqlDRH0tz0cct6l6laJO0m6co+\n7vMHSRtnlveTdFf1S2dmZmaDletfa+3j+pdZgxpa7wKYWUN5LyIm9bRS0joR0VnLAlVLRPwW+G1f\nd6swzczMzKy/XP8q2q3CNDOrMbdAMrMsrZUgnSbpTkkPAQ+maV+T9JSk30mamtn2YkkLJf1S0k2S\nvpqmPyJpUjq/iaQ/pPNDJF0h6ck0r39I0/dL97lNUoekGzPH2EPSY+n2T0gaKelRSbtktvmVpJ2L\nnseaf68kTZV0TXqM5yV9ucLzsWZZ0i8y/xb+VdIpFZxfMzMzs2Kuf5U/H65/mTUIt0Ays6wRkuaQ\nfFG/GBF/n6Z/Ctg5It6WdBAwLiImSxIwU9I+wPvAccAuwDBgDvB0D8cp/It0JvDXiPi0pGHAY5Lu\nT9dNBCYAS9P0/wPMBm4Bjo2IOZJGAh8APwTOAL4iaRwwPCKeLXNcgO2BNmAjYKGkq3v4d+8RSZ3p\nORkJdABExOEAacXsWuDnPTxXMzMzs3Jc/1qb619mDcgBJDPLer+HJtQPRMTb6fzBwEGZis4GwDhg\nQ+COiFgBrJA0s4LjHQzsLOnYdHnDNK+VwFMR8QaApN8BWwPLgdcjYg5ARLybrv8p8C1JXwM+D/yo\ngmP/IiJWAX+WtAwYA7xeYru2iHgrPc5+wAWFFZI2BW4EjomIdyo4ppmZmVkx17/W5vqXWQNyAMnM\nKvFeZl7AZRHxg+wGks4vs/8qurrMrleU15cj4oGivPYDVmSSOun6vFqrmXdEfCDpAWAKcCywW5my\nFGTzX03Pn4drHS8t4xDgZmBaRHRUcDwzMzOzvnD9qzjR9S+zuvIYSGaWVfLLusgs4POSNgCQ9DeS\nPgr8EpgiabikUcD/zezzErB7On9sUV5nSxqa5jVO0vpljr0QGCtpt3T7kWlFAuAa4Hsk/5y93VMG\nVXQ58ExE3FaDY5mZmVnrcv2rcq5/mdWRWyCZWVavd7iIiAck7QA8nnTB5x3g5IiYK+lWYB6wDHgq\ns9t/AremgzT+IpP+Q5Km0XPS/vx/JPkXq2S5ImKlpOOB/5E0gqTf/4EkTb/nSFoOXNeXJ5zNvw/p\nkDSlfk7S3HS7SyLi7n4c28zMzAY3178qSwfXv8zqShG+I6KZVZ+Su4O8ExH/VaPj/Q3wcETsUIvj\nmZmZmTUa17/MLE/uwmZmTS+9hevjwDfqXRYzMzOzwcD1L7PBxy2QzMzMzMzMzMysLLdAMjMzMzMz\nMzOzshxAMjMzMzMzMzOzshxAMjMzMzMzMzOzshxAMjMzMzMzMzOzshxAMjMzMzMzMzOzsv4/bIem\nOiKbx4UAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f5ec490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"assignment4(sr_a,sample_a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### TOM"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CREST LAG INDEX 1 is 467\n",
"CREST LAG INDEX 2 is 940\n",
"The fundamental frequency extracted from Autocorrelation is 93.2346723044 Hz\n"
]
},
{
"data": {
"image/png": 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TsfxFREREbnE9EZUBVeE/VPlWhB6Ck4iIiIiyj+UvIiIiioh4SEQREREREREREVEOkM/t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\nERERKQolokREREREREREpCj+P3nzDiMc46/YAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110428050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lags,c, lines, line = acorr(sample_c.astype(double), maxlags= None);\n",
"grid();\n",
"gcf().set_figwidth(20)\n",
"# CONSIDERING ONLY THR POSITIVE HALF AS TH SIGNAL IS SYMMETRIC AROUND 0.\n",
"c_phalf=c[sample_c.shape[0]:] \n",
"subplot(121)\n",
"title(\"Postive Half Of The AutoCorrelation\")\n",
"plot(c_phalf)\n",
"xlabel('LAG')\n",
"ylabel('MAGNITUDE')\n",
"# LOOKING INTO THE SIGNAL BY LIMITING THE X VALUE\n",
"subplot(122)\n",
"plot(c_phalf[0:1200]) \n",
"title(\"Zoomed in Positive Half\")\n",
"xlabel('LAG')\n",
"ylabel('MAGNITUDE')\n",
"gcf().set_figwidth(20)\n",
"\n",
"# EXTRACTING THE POINTS OF HIGHEST CORRELATION WHICH MEAN THE POINTS ANALOGUS TO THE HIGHEST FREQUENCY COMPONENT\n",
"array_of_crests=[]\n",
"crest_number=0\n",
"for i in range(1,len(sample_c)): \n",
" if (c_phalf[i]>c_phalf[i+1] and c_phalf[i-1]<c_phalf[i]) and (crest_number<2) : \n",
" print(\"CREST LAG INDEX \", crest_number +1, \"is\", i)\n",
" array_of_crests.append(i)\n",
" plt.axvline(i,color='r',linestyle='--',label='{:d}'.format(i))\n",
" legend()\n",
" crest_number =crest_number+1\n",
" # EXTRACTING THE CORRESPONDING LAG VALUES \n",
" if crest_number==2: \n",
" break\n",
"period=array_of_crests[1]-array_of_crests[0]\n",
"fundamental_frequency=sr_c/period \n",
"print(\"The fundamental frequency extracted from Autocorrelation is\",fundamental_frequency, \"Hz\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The peak frequency is 92.565431\n",
"The cut-off frequency is 9894.216118\n"
]
},
{
"data": {
"image/png": 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QokWLyHVffvnl6N27N2rUqJHw2o8//ogjjzwSrVu3hojgvPPOw08//ZTys/jGjBmDunXr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\nIiJF/S8FeHGJIBNNIgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f5ecd50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"assignment4(sr_c,sample_c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### PIANO"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CREST LAG INDEX 7 is 565\n",
"CREST LAG INDEX 14 is 1132\n",
"The fundamental frequency extracted from Autocorrelation is 77.7777777778 Hz\n"
]
},
{
"data": {
"image/png": 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j8ssvx9SpU3HIIYfkEGUL7UqISoLvandxQlM5UvNYQ4oQQgghlQDT80gl4+uG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EHwJ5FjsFRzyim06ISNXbtIJEpUCA+QOS6SRAtRRxxBD0XXrfMuT8uwvBEjUl2D/1JWRuKH37go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\nQebsvgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114468b50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lags,c, lines, line = acorr(sample_b.astype(double), maxlags= None);\n",
"grid();\n",
"gcf().set_figwidth(20)\n",
"# CONSIDERING ONLY THR POSITIVE HALF AS TH SIGNAL IS SYMMETRIC AROUND 0.\n",
"c_phalf=c[sample_b.shape[0]:] \n",
"subplot(121)\n",
"title(\"Postive Half Of The AutoCorrelation\")\n",
"plot(c_phalf)\n",
"xlabel('LAG')\n",
"ylabel('MAGNITUDE')\n",
"# LOOKING INTO THE SIGNAL BY LIMITING THE X VALUE\n",
"subplot(122)\n",
"plot(c_phalf[0:1500]) \n",
"title(\"Zoomed in Positive Half\")\n",
"xlabel('LAG')\n",
"ylabel('MAGNITUDE')\n",
"gcf().set_figwidth(20)\n",
"\n",
"# EXTRACTING THE POINTS OF HIGHEST CORRELATION WHICH MEAN THE POINTS ANALOGUS TO THE HIGHEST FREQUENCY COMPONENT\n",
"array_of_crests=[]\n",
"crest_number=0\n",
"\n",
"# HARD CODING THE INDEX HERE BECAUSE THERE ARE A LOT OF PEAKS HERE ( TOO MANY HARMONICS )\n",
"for i in range(1,len(sample_b)): \n",
" if (c_phalf[i]>c_phalf[i+1] and c_phalf[i-1]<c_phalf[i]) and (crest_number<16) : \n",
" if crest_number == 6 or crest_number == 13 :\n",
" print(\"CREST LAG INDEX \", crest_number +1, \"is\", i)\n",
" array_of_crests.append(i)\n",
" plt.axvline(i,color='r',linestyle='--',label='{:d}'.format(i))\n",
" legend()\n",
" crest_number =crest_number+1\n",
" # EXTRACTING THE CORRESPONDING LAG VALUES \n",
" if crest_number==16: \n",
" break\n",
"period=array_of_crests[1]-array_of_crests[0]\n",
"fundamental_frequency=sr_b/period \n",
"print(\"The fundamental frequency extracted from Autocorrelation is\",fundamental_frequency, \"Hz\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The peak frequency is 78.057861\n",
"The cut-off frequency is 2247.528076\n"
]
},
{
"data": {
"image/png": 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s2LABjz76KL766ivk5ORg9OjRuOmmm6BLrE+cOBG7du3C/v37sWTJErz66qtYtGgRAKBb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\nzMz69f8B9rkcGoaW13cAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fa0b950>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"assignment4(sr_b,sample_b)"
]
}
],
"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
}
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