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@muhammadhafiz
Last active August 29, 2015 13:57
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Muhammad Hafiz Wan Rosli\n",
"#MAT240E-Final I [Time on Pitch & HMM]\n",
"#Raag Analysis\n",
"#Source: Master of Sitar- 01 Raag Alahya Bilawal (Early Morning Raag).mp3\n",
"#Ground Truth:\n",
"#Jhala: 00:00 - 00:42\n",
"#Gat: 00:42 - 18:46 (1080+46 = 1126 secs)\n",
"#Jhala: 18:46 - end (check spectral difference 1 minute before & after)\n",
"#Gat-Jhala transition: 18:45 - 18:46\n",
"\n",
"\n",
"#Code written in python : https://www.python.org/\n",
"#Interactive computing ipython : http://ipython.org/\n",
"#Audio Analysis & MIR Library : http://essentia.upf.edu/"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"import matplotlib as plt\n",
"from matplotlib.colors import LogNorm\n",
"plt.rcParams['figure.figsize'] = (16,4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from essentia import *\n",
"from essentia.standard import *"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#loader = MonoLoader(filename='/Users/muhammadhafiz/Documents/work/ComputationalEthno/samples/RaagAlahyaBilawal0_3minutes.mp3')\n",
"loader = MonoLoader(filename='/Users/muhammadhafiz/Music/iTunes/iTunes Media/Music/Ravi Shankar/Master Of Sitar/01 Raag Alahya Bilawal (Early Morning Raag).mp3')\n",
"audio = loader()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sampleRate = 44100\n",
"audioSnippet = audio[:60*44100] #45\n",
"sample_dur_secs = len(audioSnippet)/ float(sampleRate)\n",
"win_size=1024\n",
"hop = 512\n",
"window_start = arange(0, len(audioSnippet), hop)\n",
"w = Windowing(type = 'hann')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Find the tonic - essentia's TonicIndianArtMusic() algorithm:\n",
"http://mtg.upf.edu/system/files/publications/SalamonTonicID_ISMIR12.pdf"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tonicNICM=TonicIndianArtMusic()\n",
"tonic = tonicNICM(audio)\n",
"#tonic = tonicNICM(audio[:60*44100])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tonic"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"142.05638122558594"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Pitch tracking - essentia's PitchYinFFT() algorithm: https://qmro.qmul.ac.uk/jspui/bitstream/123456789/3809/1/BROSSIERAutomaticAnnotation2006.pdf"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pitchesConfidence = []\n",
"pitches= []\n",
"\n",
"spectrum = Spectrum()\n",
"pitchyin = PitchYinFFT()\n",
"\n",
"for frame in FrameGenerator(audioSnippet, frameSize = 1024, hopSize = 512):\n",
" detectedPitch, pConfidence = pitchyin(spectrum(w(frame)))\n",
" pitches.append(detectedPitch)\n",
" pitchesConfidence.append(pConfidence)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"max(pitches)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"4410.0"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"groundTruthAlap=42\n",
"plot(linspace(0, sample_dur_secs, len(pitches)), pitches)\n",
"hlines(tonic, 0, sample_dur_secs, color = 'g')\n",
"twinx()\n",
"vlines(groundTruthAlap, 0, max(pitches), color = 'g')\n",
"twinx()\n",
"plot(linspace(0, sample_dur_secs, len(pitchesConfidence)), pitchesConfidence, color='r')#pitch confidence plot"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"[<matplotlib.lines.Line2D at 0x1005aaad0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
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AsmXLMHToUJx22ml44IEHcMABB2jTNQrduro6FBcXo0uXLhg8eDBGjx4NAHjx\nxRdRXFyMgQMH4tNPPwUAbNmyBf379288tqysDFVVVVi5ciU6cI37wIEDsY2WjRCorKxs/HvkkUdM\nxXOEob4eOO884IYb/DeWjpaFH9dl6mTSMUEa5ry88EtKOFoeMkvdggXNUhQA6UK3tNSf0C0sBI4+\nGjjjDPY/uXjKhG4UFt1OnZg1RzZo+OWXwOOPs+/NLXRVrsv0qbvGKqGrs+jKoiTv3h28w6w7js9H\nJnRVApnK2K8f2z8nx/MAANT3XBZ1tlOnaC26W7cChx8OrFnjbeMtun7zKShgFmtyEY5yeaGwrstA\n+v2iQdlrrsl8b/h7ec018nQLC9lzMHOmeVkpGX4suoD8WkZl0SWPkJyc9OdOFSmeBmcoSFtUc3RF\nglp0Xb/BIeHMM89EVVUVPv74Y9zS4KFz1VVX4aqrrgLAjK9z5szBihUr8P777+MSPt6MAqPQzcvL\nw969e/Hpp59i9erVeOSRRzBlyhTE43Hs2bMHXbt2xUi/UVo1LFiwoPHv+uuvD5RG0Lqk3UGdgBdf\nBO68s7lL4wiDzZxKlftgkAYnPz+8u5qj5SHrAH3rW01fjt/9js2Z5JfSKCtLDySlg48/QGtz6iy6\ntugsurEYEzk7d2b+xndMdXMQ/RKlRZc+uaiX1vmarEVinfPvfwMvv+yvzLL0dPix6IppiuJBJXRl\ngxqXXcaekai8pEyRlf265iaT6QHXorToioGY/JSJ4C26JO4GDMi8jzbPAN23Sy8FRozwXy6bYFR8\nOWTCOApRKQ4m8Uuu8BZSviz0nQZF+OOb06LrXJcdTYx11OWDDjoIxx13HObPn4/BgwcjJycHOTk5\nuO+++7ChwY2mZ8+eWMeFVt+2bRvKy8tRUVGBam4+aFVVFcr4MOsR4zwpLSF3rV/+EjjrrOYujSMM\n5NakQta5p2319cD/+3/+IsLyDbp74doOsqBMPXs2fTmWLGExBHihe8AB9hZdflrGQQexz61b2aes\nk2f7DOssugAT57Iy8p26KDt42bDoyoS6eKwYjIpQWXRl7NhhV15VGUzU1ma6luosujyi0JW5LgMs\nejFx2GHAqlUsBkJpaXReUiZBR8/TpZeyetwEtftElEK3weMvFLzQpUGhWCyzfaJz6NUL+M53zGl9\n9JG/ctCzo3veZNdSfL+jsuiKA9UAMHgw8Pe/s+9ivmI07qgDwgXFWXQdTYxW6FZVVTW6JW/fvh3L\nli3DyScTa9szAAAgAElEQVSfjPfee69xnwcffBDdG0YHJ06ciIULF6K6uhqLFi3Czp07cfnll6Oi\nogL5+fmYPn06kskkZs+ebWVudmSZiy9mlWRpactZN9ORPXQWXb9zi/ilN1yD1Txs2QI8+2y0afL3\nkjokfqNq8gwfzuoZv4id2n37PKFr00Hj6zNab1IWdVnl9qdCZ9EFWMdaZmHjy3P44f7y1OE34i6g\nDkZlc11NrsumqMtRW7d0kNCVHW9KU3wuVKL8m99MP19Ko3Pn4ELeL1Rvz5zJYieYEMVZlMsL+V3q\nSDwekFt0ZUKXrnX//sCrrwLvvZd5b/ljgljYTXPYZc+NH4vuxo36dbt5+GBSRHl5pnCk6O5iUCzx\nnmdj6oANbo6uo4nRtvIffPABysvLUVxcjF69emHEiBG46aabMGbMGBQXF6O4uBiLFy/Gv/71LwDA\nueeei5NOOgmlpaUYOXIkJk+ejJyGl2vatGm45pprUFhYiB49euC2227L/tk57FBZIRxtE2rwqKGp\nr2fb/Aw+1dfrhe6CBW4OQTZJpZildcKEaNPl7yUtgxNmEGzJEtYJ9Qt1dqk8e/eyTm9+vt26jbW1\nQN++6RGK6TzCWFhMFl2V0KUyDxoEdOniL08dl18e7LgohS6fnmmObhTWLZtjO3Tw7rfMnVNEJ3Tf\new8gTzXZNfrznzN/42MYhMXGortihX16MitkVFGX+cjVQY4H5BZdcTvgXZeOHVngsKFDgUWL0vfh\nha5sPrUJ07WXBaPS3XcxvYMOAsaPN5dDdF0m+LqI6p1Bg7xjVHlHMbgRFOe67GhiNOHtgAsuuAA1\nksph7dq1ymNeVsy7mTBhAiZE3SlzREOHDplrvzlaNn4bKZ3rMll0n32WWQVsqKvTC9133vHycII3\nevhrvmkTc9+LOl2qr22EpY4gnWhR6NbUMJG7//5sni5ZelTU1rJANCee6F0bmdD1W0ZxHV0RlWcE\nDST26hWty6CuLCpMrss2x/qJukzbo8JUzg8/BG66KRqL7q9/zQYmdIM9fNsZVWRbP9TVAU895f3/\nyiuALm6KTOiGWYIHiE4oA8zKSdhYdHVi1s90HJuyiciCUelcl2WUltqVQWbR5c+vYW1RAMB99+mF\nbpjBjajm6DqLrqOJ8Om31ToIOsjdbunQwZdF96uv2q92+fOf2blffXUzFyTIaKjOddmvCyegD0ZF\nHXA+cqkjOvj7/4c/BE8nkUifZyi7l2GF7vbtwNtv+zumYSmBNItuXp6998n27V6Hip5TmdCVPfe6\n+BHxuN6iqxK6O3cyF8ujjgrcwSOPxDQooqpf+LrgzTeBY4+NxnXZzxzdMOgaoMMOY/eIXCRtLLri\nb/Rc5OYyqyK9A7JzkVkxVa6ht9wCTJyoLoOpXDLq69Pdcpcv1++vm6O7ZQuweLG/8lGaNmVVwV8r\n/v0mi25ZWaZFl86BF7eiYA/SrvFl8mvRDRJ12SZejUro8t8XLvS+33KLXujW1enrsWxC76Wz6Dqa\niDYpdB0+6djRPpop7KeUtEVef519vvBC85YD9fXpDdXQoep9V64E5s/P3M4Ho6IG0yZ6M5BusZB1\n3KkR+8lP5Md//TWb3+YIBt9JCOouCADTpgEVFekC5sYb0/cJK3QB+fNnAz1b773HBk94AaPjvPOY\nu6m43AzgeRvw8J1CXfo1Nfo1YHUW3eHDQ1lSyCMxDdWyKjpkHe9ly+zLJTsHlSVz9GjgoYein6Nr\noqCAiT8/Fl2e/fdnn4kEsyqK8x15aNkbcQBFVi8+/bS3zBSxY0e4RrW+Pt3ibBJOuiVxJk4Ejj/e\nfxn8eAX4oaiIRU2/5BK1RffUU71t4rsXVkyZ5rL6XV5Ihs2a0qpgVPx30wBTVNYJZ9F1tDKc0HWw\nwBk1NS4glQXU1ja7Rbu+Pn2EWyd2xo5lQceo0BdcwD7FYFQAc4fo1MmuDDZC99hj5cd++GHmfCqH\nPfw1N7nxqvjqK+Daa9n3117z0hXTi0Lo6oQCwDo/suU/6DyfeooJXdv1SS+7zJv7Jlp0r7wyM32x\nLCrWrwcOPlj9u0roxuOs0x7CpVU0aKk3GlB1mm0tumJnXhd1+YUXgMmTo68wTenxy/sEmaPLu5PS\n4IrqvnXunJm+SiDJ3tVRo/RLOvm16JrckHUWXRvRJRKPAw1rXKa5HftB9ex16MDc/XNy1EK3b19v\nvV3x3Xv++WDlEfNQIT43svffZNG1sazaWHRNAjsqYfnJJ+GOd0LX0cQ4oetglWVTRolsxUQx5ScS\n6urSC6NqNN54gy15wfPNb7L7LbPo5uUxN0ubRkgndGnbfvvJj232kYJWDt+ZCrouK7/8CR8JU+zs\nqoTuF1/Ye4KYxOmuXcyFVoR/tvLzzcFeDj0U+PRTdk0GD5ZbdFXpEzqLrsnlTyV0a2vZcSGinUpf\nmaDWlTBCV7wHsqjLn38uL3BUS62YIHFqe31Ubqo5OWx7Xh67r7L0ZMusqSz3sjw+/1w/yGy6Tjt3\npk8/MAld0d2WH3wJMnBi42FhQnWfevf2vovXgXcvJ6v6XXeFLwtfJpuoy2GXarIdXJAFo6L54cXF\naovukUeyzygGLHfsSF/DNwg//CH7dK7LjibCCd32wL33mpe04OchOZS0GKFbX28ndE86Sb5ddD2m\ntGhurelE+Q6AmPfbb3uL1Ks6QdRor1mjz8chh+8kUCfPL/y94e+lrdDt1g04/3y7vEydb/58+A4b\nv93Govvxx2yOoixoFC8mrriCfcpECl/WTZvSO9im+ex5efJlTGhubwjXZelhQdJSic2gQpdPh87v\niy/kv0eFKT1yXRb3tZ2jS/ADgF99JT9OtryQynJP7xI/qBx0oIq4/342PYUwCU9d1GUq85Il9vlH\n7Y7O1z+6QSU+GBUNqPqJPm1DU7gu26CKuvyXv7DPgoLMfOg5oHXEwwYcA9TvgB90sT0cjizghG57\n4F//Aqqq9PsUFzuha4FU/23fzqxITYnourx0KfDcc/pjVFEXeYuunyiuMpEAsEi306ez76pOFx3z\n/e/b5+fwiGI0nL83fKAmP67Ln31ml5epvPySEzSIE4vJha6pg5RMAg8+yKLPAt6zxgtQ6iCaIgSL\n77VJ6K5eDVRWZm4noducy3oQKtdlm3KpLLoEnZ94v5t6ji7vumyThipNqvD37WPLedladFUCaetW\n9slHav7oI3U5AX1wKd4Nnwjjukz3bfhwfRo8f/ub/b4q+Gtl2wbxwi9bgZWCBKPy67psU5erXJcH\nDPB+p3w6dGCDBfT80/WM4t1TlTVI2lF4AjgcFjih29Z55x3grbfM+xUVmefROeRC96KLgH79mrYg\nousyAEydan+8yqLrJ0olHT9pkreWpIiqMSNhlY2ozM0tJJqCqIUuidlkkgWnI3r0iGYAzFTeSy9l\nn+Xl6dZPvow2rsuA9/uHH6pdl8XI4yahw6ete0dUzzMvdEN0OLtjS/qG5nBdFq3SsqjLNs/n008D\n775rX2YeG4tuVK7LJmQWXdWATHk5+/zvf+3KBQB33JH+P53TEUekB2IC2PzxIBZdfhkvv6jq/qCI\nbtWm/WKxYMts8WzYkLnNxnVZtOjK6ifTM2g7wCQTugcckJnOxRez55/qO90ggF8rr+q9DtLmXnyx\n/2McjgA4odvWmTNH/ztFQ3UWXSukQtdHxGpf7NzJ/mTwrsvU0Kr2lZGTwyLunnRSukXXj4sh37ip\nAkupGlJai1vlWh2G3NzwATNaOlGIeb5DTKP/1AmmQa/jjtPXC2vWAFOmmPMydUQpGNaaNawsJGr5\n58c2GBX9LkaClVn4TBZd8YXn3xU/ROC6DAD/wajAxzYSxnUZMLsu19dnii3ZIOpLLwG33mqXJ49f\ni65prjD9L9tPvP86iy6PSiD17cs++TVPg1BVBcydm1m+bt3CWXSD1JtR1EX8teLPydbVPKxrfN++\ncrEbxfJCpvRsLboy12V+oI6fZ83XnTqLrl/jRpRC1+FoIpzQbevo5lruvz9wzDHsu5uja4X0coYd\nTZaRSrH1RIYNk/8uE7qqwE+E6Lr897+zYFVB1tEVO3K8Kx6PyrqwZw9zsaqpYelQ9N+oaOtrYKnm\ntPLMnavv9PL3htKjZ6GoCLj+euD//T9zvfDjH6t/GzSIWWsffpjdcxuOPtoThXV13ro6fi26ongR\n3W03b1YsTstBrqZ8pFCbd4Uf/Eql2L0I6bqcSgHF2Ju5MQjZirpMllTxuTPN1feDSpTy6JYXUgnf\nIBbdfv38BaMK28aeeSb7HDiQuVKL9W5xcTiLLj3vfqBjO3ZkA2NBUAldHfwzHMbDhcSeqh33O0dX\n57osI4zrsqwuoSlNlC+dl2zfqIRuEH7+8+jScjg0OKHb1tE1Grz7q3NdtkLa7yH3u1//OrqMZs1i\nHfH16+W/83N0qQE74gjv9y++MI+G85F2g0TZ4hvOr7/ObEhzc9Wdrro61gCnUkwU/O530TSi5HrX\n1iM60vnxbsY8iQTrFOuWcOLXMRaFLgD85jdsTc0wnfN4HOjenX23XXpk3TpP6CaTLJIyYJ6jS/OF\naVmhb3wj/Xf+uJqadFd/VQwDWraE6kaT0CWX1Lff9rZt3cq2f/RRaNflpNhkt4RgVLxI1AlMWR5B\nrOOAveuyzb66NMXyiec9ZAjbRgur2wajCoq4brLoalxcHNyi+/LLwQYI6Txtr/PSpSyAFuAF5RIH\nCQid1ZbeyVgsPYK8X/j4BDw2AyriPtSu3nKLt41fS57fl5YE1A183Xyz5zEjCt1LL00/lupJasv5\nObv8/zxRuS4HqYfcyguOJqL9Cd0oJuTr0o7F9EEwmhqdgOGtgs512Qrp6gt03W6+ObqMTKJANkeX\nH6iQRUcUR55p9D6R8N/h5F2lABbw7NvfTt+nsFDdkPJClyK08qJ4165gAy9k1d692/+xrQnqcJx5\nprxOo86RbURXfr42/yyE9fSIx711Rv0EjCGhC6QHStO5LvNrkQ4YAPzqV+y7KsonBasCWOdbBz+H\nWfeuDB8OdOnCOpdffw0sW+a9A3v2sGOrquyt2wIZQveaa/xHmlUFo4oi6jIJXVXnPQqh68d12VZw\nq/YTO+PiMkDkdTB6dHpdpxrQCFKn8V494rMvtgElJf4tuiTKb7zRf9koPdl3Fb/+tddWlpYyq3QQ\n12UaVIrFgGef1efZqRPQv7/8N3GKA8Cu8+uv+19eCGCR2u+7T1+eiy4CKiq8vFTcfz/wy1+y7+I7\ne8QRXoTqVMpb3zsvj+2zfj3w+997x/PnQYOAYnR0E1FEbiba+mC0o8XQvoTuTTd5odazAQV9ao1C\n17kuW6E1fDblPBVxeSEgvRNlEhV8B2L79vAWXSDdigWwZ4rvdO3Y4eUrE7p8I1pe7rnpmZg3L3Oe\ndFtftqi+nok5VUeQrAi2bvXvvcfci8VOcGEhsxoFDRoUj3tWZz+ihhe61EGLxdhz+t57ZgvO2rVe\nh48Qn1c/Ha2zz/YGd0zn8eWXLEDP5MnAscd6+dTXs/L8/e/AZZfZ580XGZL31GaOtEg2XZd1AlNV\nDr8EXV5IdezevXZRYMU2MifHy2ffPnMwqiBC99vf9iyEJqEb1KKbSgULREXpUVls2kDZvHce23pC\nNwebZ+1aFotEtUawKHSTSVbH2KQtui4D+jqX9q2vT480r0N8Zvjr8/zznuCnQZi8PK9+PPZYNkUN\nkFvNjzzSPMjHE6VF183rdTQRbVrojhkjbKiqsl8OIwgjRrDPN9/MXh5+UQkYiowZkdB94on24YlC\n7cPmzex8Y7EsegjoEJcXAtIbRJPA4Ttoe/cGm6Mriy65ebP3vyh0ebc4XuhSQ83vu3kzG1G3YeRI\n5mZ7++3p6bdlZAMdxH/+4323HXSbMoVZdMROMOURVOjW1nrLFfm5Jyqhm5PD5nPr5gUT4lw1sTPG\nL6Mk66jx25YuZUsN2c7RnTIFOPBA9p0XunTsli3y4zSkUgqh+9RT/hMiglp0Uyk20LJsmdx12bYT\nG3SOrglT1GVx+zHHeAHyZJBV1SR0CZUlMGgbywskMX+e/fYLPkc3rNAtLLS775S3arDE1nWZF7rL\nlqnzO/hgJvbWrAG++93M38X64dZbgaOOkpdNdqxYXqozH31UfRw/j91W6IrBqFIpFhV/0CBmFV+w\ngG1XWcRVVnM/3iVRWmGdRdfRRLRpofv888IG3spVWWm37E4QzjgjO+kGgRdD77/vfaeRSKo0i4tD\nzdFt60FuiQzjALIkdE2dOZPrsgyx00AdBVlaJvLyMsu4cyewapX3vyh0eXihS8e8/LJXxk6d/I/4\nUgRxINPFsK3Bd1bF+/Dyy953v94lKiHHzwUePdreIhmPAxdcwL776diQmzIg7wTb3F82EuX9Lz5P\n5PYnOw6QC3Ob+exnnAFccglzywS8e9Czp9yS6oPeB0XQZIdxXQbYdXn8cTaX+o030tPxO0c3WxZd\nXdTlIHm++y5zjbcVuqpgVEHaWErnwgsz552LeZSWBp+ju22b/7JRegB7n2yeIcqbD/BmI3RF+Pt7\n9NHpc2FFKJ0//jHzN1Ho/u9/6WXxE4yKT+e66zLbP35fOn/TNaP3VSZ0ZfB9PtX14+swlaVbRpTi\n9JFHokvL4dDQpoVuBvTSb9wILFzIImHaUFvrP0hDmOAIUcJXaDQnBMi0CBUWBrfatGNy0EzuNybX\nZZNI5Dtof/ubPmiRjP33z8xj3770KKC2c3RJtPADT34aX8DzUCD+85+W8w5mA7r/so7MYYexz9NP\nt7MgXXGF910mdI86Cigr8/5/4QXPemCitpY9K+Xl/iy6eXmZlh9aNgOwEyuiyBefV5Mro6y8NvPZ\nR49m5/zpp+z/ffuYAHnkkdBuL6mcAFMMZIRxXd60KXMbQcLg1VftypGtObp+BbcNhYXyObr0nMXj\n5mBUQYVuLMbq6Z49M3/j6dxZPbiYSsnd70no2rhui6xe7U1ZKSxk88WffFJ/DL3DKqFrO+hKcRjo\nmj/0kHpf3XsnCl3+OvhdXghIb4dUgwdjx9oLXXHATubpwmMjdPkyRyF0sxn7xuEISfsSuvRy0zxd\n20b2Zz8DunbV7yO+6KrlVpoa1TkmEukN8d//7t8FjkPlHdjWaRFClyxHJqGrcwM76yy7fKkTUFQk\nz4MXFzqL7oYNnnsfdR75TmSQDjBfnldfBe66y38arYX33gM++ED+WyrFlgXq189urjI9P4DcQnHA\nAWwpiHXrvG02ndFk0hvQyMvzZw3gO3d0HC9+bZ6Pfv3Yp6pyMqUhlvedd9jzbTquQwfgmWeABx9k\n/194IVvftKgo2HrVHJEIXZPrso0oELeJ6dx7r93xzRF1OehgQ2Gh3qIr5hGlRddUZgpI1qmTekDp\nhhuYUJYtiRNE5ALp3iPkIcFvkyEK3fr6YBZdWp4m7JwpsX4Qr58fi644wCEGiuM9H2yFbk6OP4uu\nTTCvqIVuUNpbh9HRLGhbmR07dqBDhw4oLi5GYWEhTjjhBADA2rVrUVZWhoKCApSVleFTGrkGMGrU\nKBQUFKCwsBD3co3djBkzUFRUhIKCAgxTrQ2abcSX3nbk0GZer9jY8Ut3NCeqc7zzzvQK+YAD1Gks\nW+YFZ1DQGLT19TfbVZCBZhW61EANGMCs8SqhS9FnefiGrk8fb2kCE9Q4r1kjjwzNN1yFheoO1IwZ\nTKjxQpefI0edJp11YNcur9yplDdP6zvfYZ9BO9GtgQkTvO9iZyEeZx2psjI217m8XJ8Wf51kFoq8\nPDZHdcYMb5vNUkFUDpq3ZrLo9u0r306dq/Jye6F7zDFm12W+bpR1uKi85La9cKFd3vn56YM269b5\ns0QrSKWayKJLa6urCmFKz0/nNVtzdP1GXbZBZtEVV1nQBaPiAxDJ4KcWiWVVXSf+PFIpfdTlxYuB\nzz+XzysNGAU8DaqzTfeU8uaXt+NRCTUx3VNOscvPtI8YnV2Mnq1Ddm/4e6KaxhaLpVu0dYhClz5V\naxZT8Cl+X1maQbCNpm5L0AEWh8MH2qe9c+fOWL9+Pfbu3YudO3di5cqVePzxxzF+/HgMHz4c8Xgc\nxx13HMaOHQsAmDNnDhYtWoQdO3Zg/vz5mDRpEpINL8bVV1+NqVOnIh6PY/Pmzbj77ruzf3Yi4stt\n+7Lb7CcGcmgpk1ZVFZ040viHP6it1sceC5x4ojYbqrNzvznCPohQGyBrc3RN8IFtYrHMOdZ8g6Sb\n6wiwjprtqC6l8eGHzDVWhM+3oIBZtmTLn5SUsDVKeaE7b176sQCzTKr47DPg44/Z91mzvO2dOrFP\n24jDrRnZ+00Cs7iYWSE//FB9fI8e6R1LmesyXUf++bEZ2Z8/3xMBJotu377pQnr5cu/7L3/JgjtV\nVtoLRn7+LR9NlYfWlxQRLckkdCm4jKk9kLkrRiB02fERzdFtTE8idE3Bd0zbxP8vvDDzGLJ2B3Vd\nbg6Lrixgox+L7u7d6nnhQPrUIh4boUuf+flqMc1PBRBdl6MQurZLmZnm6NL6sraEFbo0z5zKQMER\n6Tg/wagAfT3Hi1U/Fl3Z/w2Gp4xzo+XcdPB1vh8rrUroBl3lwK304WgCjK3MgQ2RI6urq5FMJtGr\nVy+sWLECDzzwAADg/vvvx7sNczunTJmCyspKlJSUYMSIEejUqROmT5+O5cuXI5FI4IqGuWDjxo3D\nzJkzs3VOjQxEVXolQouTE7aNrE1FGjRiYbZRVWLi9tJSbw1SGQYhlJacn/UyWzlZs+g+8wz7VD17\n5Lo8eDBw2mlM1KxZ40X8ljVI/E3i062ttReFpkaZz5fSlHlw9O/PtvNCl8dmGTD+HPiGlrwPgiyZ\n1BpRWXRLStLXiuWh+7Rhg1no0rvv11PjL3/xvpssuslker3Bi4fhw4GJE9l3W9dfmXVJvE4mC7No\n0SVM7QZvbSfoGof0MojMdVln0Q0idPn0+HqmoEBuOad7na1gVNmao+tH6Ir5lJaGj7os0qUL+6Q1\nYvPy1FYyndCNYt1xnYiXlUPlumxjkeR/0+1z6aXm8uiee9NzZnJdVsG7i/u16KrqEIoib4omD7D1\ntwk/QleV3tCh9mnw+F3H1+EIgLHVraurQ3FxMbp06YLBgwdj9OjRSCQSGDJkCABgyJAhSDS8sFu2\nbEF/blHusrIyVFVVYeXKlejAjZ4PHDgQ2xST9CsrKxv/HgkZla0Kh3tWon/8A3jppfQdbBtZm4og\nRMTirGIrdPPy9B0/g9BlhzZUgrYju22ArAjdVIothQWoGzWK/rpyJXO9ok4GiTzZ0g38/eV/92PR\nNTXKS5Z4cyN1ae7bxxrkmhrPJZQnzCg9Ddj4DWjVGpFdg0SCnTvf4ZHtQ3NnbYVumPlUJotufb1d\nvWHruixadBcvznx2TUKXyst3vAHzs9mxI3DIIenbIrLoZtV1uXH+SYA6TWapAtgzKBtwokGwIF4X\nflyX+bIRdXXAP//pP19TMCo+L5nQDYoujfPPZ2KBBmN0Fl26D+I7vnUrCyg1YEC6J4UN/LWld84U\nBJDKwQu9IELXZh/yCPITjEpM269FV/f+8M/H9u3qfHloPXBR6Irn1NAnt7pmZ57pDZJEYdENyiWX\nRJuewyHB2BPMy8vD3r17sWHDBgwePBgPP/xw2u85Ec+DW2AbzdMWGqm89trM34K6W8hoqcuZqCox\n8TqbhK7BOlZXB+Si/a2LlhWhKy5TIUM2Kg94jZxM6PLPArn8AsFcl1Xwa2jqnplkkuVJjb3sdxMq\nywUJpvYgdGVQACgboQuYhS5dT7+ddv4e2lh0RYuQrMMWxHV5+3bg+OMznwf++ZGd2+9+xz6vvpoJ\n5TCI5Q4geNkc3SZwXdZF35e5KYvb+HomP19u0Q0jdAF712WVBXrsWODii/3l48eiS7/5fWfq6jKf\nU5mY4stHggUIZtElY8ABBwS3zAHelBGTJ41o0V2/nv0RunqLx+ZdstknSosubTMRi3n3Scy3pIQN\nPNC9KCnR9wl052gKpAWwqUUnnWQusym9IHz1VbTpORwSrFvNgw46CMcddxxee+015Ofn470Gy9Hy\n5cuR39BY9ezZE+u4yJzbtm1DeXk5KioqUM1FIa6qqkIZv1xFNqFGV1YJTJ9ul4ZNp4Rv3L/xDX1A\nj6ZEFLp8BcsTUujW13Oirx0tBJ4VocvPlzr8cPk+foQuwd8XvsGSda5UmBq6RIKbsK0J9kMWaX4+\nlPi7CdXgUnsTujKX3Lw8/dxcXuiKVj2xI9WtmzwfE/ycWxuLrs2UByobFwBRisx1WazfdEtf7d4N\n3Hcf+5+vy6kzb4Ku1fHHs8/W5Losflcdq0qPv66plLztIA+obFl0yXWZyhQFBQX2Fl367tcC9txz\nmdts5iQTQeboUn9g6VL7csr42c/Yp99gVJWV6gj5YS26fkilMq/dJ58Aungy4r2xvef8Mdu3szXo\nib170webiovlwahU5y17p2WBq+i3H//YXF4iaotuOwpc6mg+tK1uVVVVY0Tl7du3Y9myZTj55JMx\ndOhQ/LwhtPvNN9+MI488EgAwceJELFy4ENXV1Vi0aBF27tyJyy+/HBUVFcjPz8f06dORTCYxe/Zs\nXNJULgt+1m5UYdM54V/YW28FGuY2Nzuy8//lLzO3mYTuli3Kn2bPZmMGZNFdMC+Ca95KyEowKn6+\ntyowR1ihKxKV0K2t9fLhO7hiB5GErgqbBlBmSRk0KLgFEgCuvBL4/vf9H9dcCJ2dv/wFSOy1GLig\nebxiGjKhS66EySSL4hwEnUU3lWIdPZvBT3ouKBCLChvRrKvvXnhBvt1WmFE5n3iCfYrvp5/O+Zgx\nbF1o2Avd//s/w+NvEroqUin5s6UbUOD3pzxo6lLQwSjT9cvPZ1HYd+0Klr6M3NzMOjQnB3jsMfn+\nDW6ve/far95G1+6jj7hlxf0IXZ1FV+W6rOLll1mUZltspziIFl3itNMyjxdFJE82LLrilLqPPlIf\nR54SxnIAACAASURBVMf4cV2W8dJL+mCfhYV2c3R1Fl2/1l4VTug6WiHa2u6DDz5AeXk5iouL0atX\nL4wYMQI33XQTZs2ahcWLF6OgoABLly7F7NmzAQDnnnsuTjrpJJSWlmLkyJGYPHlyo2vztGnTcM01\n16CwsBA9evTAbbfdlv2zA7yGKYzLhV+Lrkk0NiUyccOvh0mEKPO4ccA38AZ+hV8AAG67pYWcexOQ\nFYsuf89U90TsrIgNusl1WUTW4ZTtb3qP9u0Djj6afefLV1wM/O9/3v/ZErpjxmRaDPzw9NP2nh4t\nkLFjgTUfNgjdhgFIKRs2AF9+yb7z90nWCab7lEoBvXoFK5jOortnD/tdFQWZh+45WZl5ZJ1iXd2t\nez5Ux9kKXXpv6b0KY9F9/nngz38GAKQsoy5ffrnGK9Dkuix+J37xC2DuXLlrLZ+eeJ9l7zm5pwax\nxtnO0QWY0I3K4icTurq0G1yXN73xSUZ4ECUNwZPOPZc5hlnlwxPEovvQQ+xz0qT0/UeNAm65xS5f\nwH65HHF/YvfuYP00/to0BEnN+M1W6PoNFiZzXda1s6rz4123ZfB5qAbNdINXUQndqF2XndB1NAHa\n4dQLLrgANZJowgMGDMB2xdy6lxWLhU+YMAETZNEos01dHQuw4GdkMghUuR1wAGtsWsr6YLJKN4jr\nsoFr8Sguxl9ZUnBCNxRBhK5uVNlG6EYVdbm21lumSuzgjh+fXr5sCN3Jk9mcSsA8Gi+joKDlBpZT\nQRafWbMAjENOfYPQHTcu/Zrz3Hqr991k0SVh47dOO+ccL0CKzqL71VfMAyYnh63prFujlzwDZM8H\nb82y6ZAFqaNt3xN61+jaiZ3TbduAhx8GfvITtkxWr176znh9fcMc3SZYR1f8Ttx7L/uUDUjoXJd1\n4l4X6V+HSfhR+aNcvoSE7vnne8+Bar4kfd++HYecfjDg0/Mn7VXxIy50Fl1CfMe7d2efMu8hP0LE\ndrkc+l0s52efZR7v11orGwATmT8fOPVUeblU861ViM+3yXVZJTz9uGgHGSxrKRZd2Rx/hyPLRBtJ\nqiVSX88sG2Inq1Mn+1FSPxbd3FzWCK5a1fwT7V9/nY3CU0NGyCpzmwZyyRLlT3F4roJO6IaEb0xU\n4oBfRxfQuy5TB8avRVfWCJkaui1bvLKYhCz9/oMf+M8HUD/HxLPPep0nW1rb2rt83TR+PPpjHWJJ\nC9dlmTcAILdQ0H0iy48tXboAAwey7zKLbn098NprLHI4/bZhgz5N2o8+9+1jUccBeUddV3cHGdiz\ndbWltGm+PbUFVJ5Vq4Abb2Tf+/TJDA4o0vA+KIWun3NRCQlRoKqQdbT5dGwsupS+jRVfdawOOpfq\n6mgtunV1wDe/6S2dpRMdOTmNQjvXZ5uYIXSjsOjybQNfbqrzZEGg/MTbIG+PMBZdkbBzdGVimFyk\nCd6i61foBg1GJSI+R+Kgk8x12WbObtQWXfICiop2FM/F0Xy0D6ErY8QI4OST7dKwqWwp8EtuLusM\nffml2prSVFBjfPbZ6dtXrcrclyy6tbXA44/L07vwQmVWbU7oPvts+jqgCrIyR5dvKFXPr2gRFZdd\n4dOgNUibYo7uZ59574tO6NbXe3nKOrthglHx9Olj3oenNQhd8pqhuYHcPRmIjxCrtxC6fft63/n6\nbfduteuyX/jBGJlF97XXgFNOYX6amzb5S5uej+XLPev0aacB11/PvvsRQ7L9VcfbWlPoXTviCPZJ\nS66ojjd1sOl8Va7Lr75qVy5AHYzKVizr5vWKFl1APkeXPoOIAhvh16MH+4xyNQTVHF0e0aLbMEd4\nP3ABBqur1bEXGggsdINYdHVC13R/+HKJA+qmY8R3nrbffbddnIRszNENa9EFgll0dfWKeP+DzNHV\nlcWW117z+hJR4VyXHU1A2xe6qsbbFAWUx6aR+d73vHSp4eCj5zYHVCGKnd41a1iAAz4gWE4O+1uy\nRF2ZaTq8vNDdHxEsPt/cTJgAfOc7xt2azaKrcl1+9FH2SVauDh28wDx+10lWLc2hY+9eO6HLC3VZ\nwx3Eortjh10ZddgEMWpunn+efR5yCLvWQj2TY2PR/f3vvbU3+ev/wQfRCV3+HsvqW9U9HjCAfcrq\nXXEgh6Ivk8XDFKSKJ4jrsl+hK94HVVtiED5Gi65fF2CZADAttyRDtp8u6jLdN7/WPxFTm9ytGzB8\nOCtL1BZdG9FBZWyY95omdBuCVOlIe1WisuhSbA6V0JWtY80XZPt2udVVxNZ1WQyKSWUqLwcuu4x9\nD2vR9UMq5b9OGDOG1Zl8Wfw802ee6R2ngqzGKouuDVFYdHkPxR//WB7U1IRs9QWHI8u0X6Gbk2P/\nkvmpUPLyMgOQNBdUblnnffBg4IYb0rfl5bFIlSoshW4XROze0oJpcUJ3xQr2uXIl++TFoO55j8Ki\n+7Ofsei5fl2XZXkHEbq2S7/oMFl0Uyk2JaA5IcsLXTduTnEKMTuL7ne/C/z2t+y7yboQdO6+yaJL\nv910kzf/EwD691enybtfjh7N5iETvCDQuewRuvPil/vgrd+2QtfkPioiExk8DXN06/MUAzG2a48C\natflc86R77NoEQvSJjtGtryKGLmWv2aU7oQJwHXXZTcgjo110w+yOBY6i25ODnDwwewr305Y9D3S\nih2VRbeqin2qhK64jjXtS/Trl+n2S3zrW/JjdFx5Zfr/pndLNa9VFoROt4+KIBZdIH1NesDOokvQ\nAFUQ12WiqYJR8Wn07s2WhQrL4MHh03A4DLR9oauy2ubmZkfo/v3v6kAV2eCvfwUalnrKgPKXdd5l\njWdeHguOokJzPgl4eRQiQnex5kScuyhpGLIejErnuqwLRkVr4/ENSRRzdHXra5KboF+Lrmw/v0KX\nd4OzdaGTYbLofvaZ/ZSHbCEOJHAW3RLU2Aldfu1kk9ANGsiPf0ZlFl1etPodFKyvz1wCSCZ0deiE\nLu/Vsv/+3nvk16LLl012vI0gBzyLrkro+pnrpnJd5j0D+Ot3ww2ex5J4jMx1mQ90JtLogh1jgRuz\nZdEF5BbYMOTm2ruRAmy/Qw9lu4lCt7ZW+/xl/BSFRZcQ55Xq+gn8/dm9W75iAwCcfrr33VZA6eod\nPwI17D50jkEsukDmM2DzLoptpMm1Wna/bAJa6eoX8d2rq/O8omwI8l6JzwZZtB2OLNL2hS5vKeDJ\nyYnWdZk46iivA9kU8/0eeCAzpD7AGtLf/EZfDpnQ1aG5DrxFNyvirzngzzc/H7jnnsxdsj1H1+/y\nQgBQWsoi1159NfDmm972KObo2liFbVyrorDokrAuLgZ69vS233EHcMUV5uNlmIQuX64tWzKtV03B\ngw+yz7w8do3vuKPxp3/ggnTX5dWr5WnohK74f9B5jvX13j2eMYOteSPLh9/PhGwOOiEbvNM9g346\ntX7nEIvvrarDabv8XcP51udLrG6y/Ez4ERKitVhn0TXB10F+3Tz5PG2Iepk/2TNqCkbVcL4ZQhfQ\nek81adRlQnZ+sgByPDIro215xXsvy9/v/Fs/779IUKEr5u8n0rfYZqrKxVt0TefE/05eTjYW3Xvu\nYX2HpsQFo3I0AW1f6KqixGXLogt4wnK//Vj+vBtc1KjKxle2svlbssbIJHY0v/NCNyvir7lJJtPX\ngW2gxbkuA2xUdvVq1sjxnVRdo6KLjGraRvyCraOsdLHisbHoHnWU3o01HmfBh8Ql0AoKgJtvVh+n\nwzQ4xb9vffpE474VFMX7mMNbdPv1k4t3XuiK96m6Ov3/oMst8c+orK6l3/wIXd4KLOLXost7BJj2\nJ0uHbVugetdUbuGSZfzSaKjPB86bKv35hX/U49lngYULLcpms3wLv48foSump5uT17DObGOgLj/Y\n3AcSuhFZdOsgeUbFgS7xWjTc37R2gp71Aw6QZ5RKZWeOLhGPy92UqVz/+Y+3TXzPbDwVbPtV4rMR\n1APOrxhWlSOVMl+7t97KvHZi2tzyaHsm3qQvl61Fl9/HNuryWWc1ehRo0yUo3oEtUVh033/fLTHk\nSGPu3Lk4/PDDceihh+L++++X7rNgwQIceeSRGDJkCCot+mBtX+gSBx6Y/n82hS51IIuL2ZqinTv7\nO94PNh2Vjh2BefMyf/dr0RXn1HC0SYvuvn3Av//t/S95XjLO9fe/B26/PVy+QZYXkj0HomjTNeK2\nz7iuUaLn3K/rsioY1Y036ufdqjpsAFvW5q671Meq8BOMqr4e2LrVfx5RQdfvsMPSNqctLxSLZd6z\nXbvYFAuVRfegg9L/DxqAxiRgw7gu21p0dUQZkVfk0Ue9OdCA2qJLYtvUWM+dm36JhUj6v32oDhMm\n+Bh30QmAwsL0+xnlFBxR6CaTTPC98459Gs00R3fFSokoWbRIfUAsJrfoxmIskJyK+vrgQtfmnGtr\n5fUcvYMnnugNjpuELuHHoquKuG1yXQ4z/1Zl0XzvPX9Cd/36zHm8Ytrc9f/n85I8eVSDjbI5uoRt\n1OX991f/JiuLiTDWchWzZ3txRRztnvr6evzoRz/C3LlzsWrVKsyaNQurBa+0HTt2YOLEiZgzZw5W\nrlyJv/3tb8Z024/QpaU4brqJRWQ8/fToXJfFCoMEBh9JM5VieWezc8WTFEaQxQXSTUJ39OjMNH/9\na3V23KPUZoQuwBpCQtK5zoXwDE2ezJZHCEOQ5YVkiELXr5uQX4uuaL2zXV4oNxf45JP035NJ9rsu\nv3hcL0zPPhsYNkz9uwzTYA+VZ/t29unHTS1qcnPZO1xUxNasbSDNoisTurRslkzoHndcevAl2mZC\ndp9ULpIE77os208msKN0XRbvnWrQJAgTJwLXXpu5XSwPtUs20DU+66yMdOYnv5WxmzEdWXlom24f\nPxZdkaQg+Oh/v1bdZpijy8ehaEQcQBcFSUOdm+HlpCsTRR0n/Fp0bYSu7Fnn6wO6L0Fcl6O06Iad\nf6v6bfNm4I03gKFD08tjErqyl0sU6Nz5x+sa8lctzaga7LUJRuXHhTkKoRslo0Z5ZfITSM/Rplmy\nZAkOOeQQ9OvXD/n5+Rg3bhz++c9/pu0zc+ZMXHjhhejduzcA4ECxDpbQfoQudfofeIAFVxk2LDqL\nrtiwUOXFR9LcuZPNrVuzxi5PW1Rl4xskleAQj+XdRMVALwCbk6ggBS+tNuW6rFtrE0A+IozqSdC9\nKyxUd1pMIgIIL3QpSicPfw1US5pQPvTcvfRS5j68UD/1VOZiK/td946ahK6fyOqE6V2ncysrY59N\nNXClY+/exs7CClSYLbri0jf8OcvqCjE6u4wwFl3VfjU1mdv5Y2Rl8GN93LfPGwh58EH5vfSzXJEO\nVTCqhx+2TqKwvsG92TC31fiaq4JREabBgjFj5Gmp0uORuS77pZnm6O4raXA15s+Rt5qJqFyXiVRK\nfi4bNqRfRj9C1+aaqupNXnSprK664J58eXl+/OPM+fmy/fx6DoSx+tbXe1MyqBxHH83ul6oca9d6\n+1ZXq700dNM0xGOoDt68OT2deNxbX95v1GVxu+w3vixBCeO63KMHM/wArWNJP0doFixYgMmTJzf+\nydi0aRP69OnT+H/v3r2xSYiPsWbNGmzfvh3f+ta3cMwxx+BPf/qTMW/LCDRtALFyiHJ5IdGVhV5c\nvlGgSf6qOcNBsRG6vJWqQ4f0SponIotGm7Lo8h0lyfNSgADLEZggd75Fi9g8VdU+po6BKBL8Ct1h\nw/Rz7FTrRNM1I5F+7LGZ+/BC9+ij1b/rGuPaWm8tWBnZELrPPZf+f5DlKKKCOkD79jV6j+Qgabbo\nikKXf46CLokWxqKbSKjzVdVJsvvKR5O1iWZcX+8NBqkG8Z54Qn18EMTy8GtTGiio5+ZKa94LK29d\nk9tnKsXe7w4dMiOjHn888OSTFplIyilzXfaLrfCLeI5ubbEkUI/OA0QVjArw3kvFfczY7Efomq6p\nzKL7q1+xdYcpL1uLLp8vIeb/5JMsz2eeSd+uC0Zl45Yc1nVZFggukWB1gmzQ65BDvNUM9t8fePZZ\nedqy69+tm7xcqnpv926vfeXrNd6bwyTqbYUuDfb5sRDb7K8jlYpm3XtHq6GysjJtPu2dd96ZsU/M\n4plKJBJ45513MH/+fNTU1OCEE07A8ccfj0M189Hbj0V32LDM9RCjcl2mngVVgh07AlOnykeTVeLA\nD7fd5s1r8GvRveEGYMgQ/25+PmizQjeVyrhEWRO6gwcDhx8e3KIrcweNIsKhTaMkBtiRuWWlUupA\nHBdeaO+6rBucMVi+lMfoePxxf+kRmzcHO04HnVttbaNFtwOq05cXkgldOk5m0X3jDXlepuBeYh6J\nBPDKK/KO3BNPsPVFyV39mWfknVxAPkAJhJuj27+/F43fZE3QrZPqB8onRB2bX7fXSyOM0LV1Xab3\n95VX0n/nlyARl6rxY9EFgD/+0VBYBX5clyMiFZO4jJqsaCqLruEepmfsQwjYCF0Sczy33OJNtdJZ\ndJNJNjB5332Z+fL7fPyxfPoTT3O6LgPpywoRdXX6gIT8dAqqv8R7Lrv+DzzAglSJA3AqocunwVt0\n+ZghJkzXjsqiEuF+sXlO+X0o6KETuo4GevXqhY1cMLeNGzc2uigTffr0wemnn47i4mKUlZXh5JNP\nxgrDPO/2I3T79mWBBIgog1HF42yO3KOPettycuSNbBQd3nvuYcL9k0/UZePzpso0lQLGjmWCJ2Kh\ny7srtynXZV4cJpMZdXKG0I3CwkciljocKuuVTujKLBkyoXvQQUCvXunbVGslAqw8/foBugAAVF5q\nQGUj3jk5ales556LznU5bMANEZXA0lFdnXmNg5BMMpFBQb+oLJzrcgdUm12XdUJXhcl7QMzjhRfU\nc2///GdWd112mTx9XSAkKqutRVdGLAa8/DL7boqyHdTCLULnESI4Un49N6dYc35GbWfjusy7gYsJ\nch0RZRoq+Pu2fXswDye/rssRDeD6hhM9UqEL2IsD23OwGdwzpceLZXFONcACh9F0FFkdfuSRLNov\nTX9SnaNYTj8DJvw+sn2pfdLtwwehIvho9DJka9yLacvOt7gYEDrsAOzqF9X90llwxf9158+vba3D\ndJ6y8z71VG81BjEt2fV3tGuOOeYYrFmzBuvXr0c8Hsfs2bNx3nnnpe0zevRovPHGG6ivr0dNTQ0W\nL16MQYMGadNtH0J35MjMbUHcplQv5OjRmQ12To68U3PVVdFYdQH9khQqiy4vHmyErmodTgE+KFOb\ntejauC5Hsa4qLwRVy0VEYdHt0oXd3w8/TN+uW9KHGl3Tun8rVzJ3OFk5qTOh64TYuC43xxxdWXrP\ni6E1BaJyb37qKTYFguoVCkbFuS7vhz3ISXL3nj+fjz9Od9HNptBVzUkF5MsVqTp8qnxlgzb19fau\ny2SV9GvRDQqdc4go3Y1CNxYDpkyR7jMUy5H86GN9QrZzdFXXTgyy6AdxHd2g6fhxXQ6DSSzQNlrL\nXvRGUAWjArSuyxn7+XFdFtOMxdLfe1N6MtdlGhzX5QuwIGwVFXZltTl3G/Er26drV/U+BJ3bx9z7\nEkToatpZ46B/kIE0m+sg/h+F0FUdT8yYkbnPq68C//iH/ngndB0N5OXlYcqUKRg1ahQGDRqEsWPH\nory8HE888QSeaJhGdPjhh+OMM85ARUUFhg8fjiuvvNIodNvHHN3zz8/c5sd1ma/0ZZXg4sXy9GfN\nkqf31VfqQD5+IHcWGSqhS51/WeUiS4t3U9PAi9tWL3R59yRB6DaJ6zIvUqmzJnbIVdYywtaiy3da\nbRADY6gYPNj7LhO6JkuajeuyapkMPl8/QregwBxhWJYeRWD2c0wQSCTF4+nzt+Nx5uY+bx6KsA97\nk3WZYmXvXmZlOfJILzCMamkLGX6Frm6NZD9CV3zOdK7LohutjooK4N13m0bovvCCF7QoyKBHWRmw\nbRvykw3zBmMxNl/wpJOA119P23U5jgROAHJQB8jWfQXSrbX8cyKL9CqDny7QsWP6fqp1VgmbiPIm\n/Fh0I1xeqBHZdZHVo5zrckZ0frre2RC6sndDHIg3WXSpXHSP5s8350vpitHSVYNgNvWijVty0H1k\n+ZvaJlnsE43rckx1f4O4LqvS8DMAICPoFD7x+n33u+leOjJk18MJXQfHmWeeiTOFuBBXXXVV2v8/\n/elP8dOf/tQ6zfZh0VUtjm5T0a5YATz9NPvup8Oq6yDZrEtpg05wyFyXqVwkdG0supYNLN+Qt3rX\nZT4S6sKFGSOP3bGlMcp0RgcmCvbt8yJ2q6wSpuWFZNEjo5qjS27Vun14xGeIRs11DRxF4o0i6rIg\nBpRlTiTM14gX8Hw+OqISulSPJRLAiBHp1/XUU4FUCrUoRG6iNvOa03qf8bj3G3XUbMSAX6GrE9Gf\nfpq5zdaiq3Nd5i264v4iP/85+xQ7teKSQ6qoz34491xvgdsgz0K3bkBxMVI2roINaAcb+QEBmesp\niTCbDjR5FYhlOvhg+bFjxwLkisbXa36vq83+ES8vZMxLZNeuRmuh32BUaUQhdEXhpIPPSxWUSpYv\nHcu/Q2vXqo/RtRN+7pnsOJvjZdcpkbC36KrqLO68MvpC9Bt59anaL92gk+m99HMNgODtU1RT/5zQ\ndWQZbe9l8eLFKC0tRVFREYqKinBhw1pglZWVyM3NRUlJCUpKSnDXXXc1HjNq1CgUFBSgsLAQ91LA\nDwAzZsxAUVERCgoKMMzv2pZhkVUmthbd117zvvsRCmIlyFuVoxAcQHCLbhbm6PINeVaW3GlK+Gu3\nfDmwZAn73jBHty+8jnpWRP2+fd7aciqrxBdfmC26Ubld8lAnmU9bdMU3BRkxuYcBXiReXSMoC6rC\nE4sBmzYBJ5+c+duECV5AIkpLVnaRE07IHLVuKqHLD36InZmePQGgYQBGcg4kKmT1wuzZ5rwpH2Fk\ntRGTRZcfoZVNuVBdQ1UdZSt0VVB+4vOjsiBHRZC6v8GTKCdl72KoHYBTWXQJ0bqrQyW+v/99+f6j\nRgG0LmJQt2K/c3QjonEJPZnokAXW27WrcVrDeRCW6xNd7E3YPtcqAW1jIZQhi0zMI05REJ+d999X\npx3WdTmsRVf2Lvqx6KrKlVY3Kc6RrpfN0joqTxVT/8124CDbQpfHFAjP4cgC2la8uLgY06ZNw759\n+7B+/XrMmTMH//rXvxCLxXDOOeegpqYGNTU1uP322wEAc+bMwaJFi7Bjxw7Mnz8fkyZNQrLhZbj6\n6qsxdepUxONxbN68GXfffXf2z45QCV2bF5Wv9MJYdLt3975HJXSBYEJ3/Xp55RnCossL3Ztxv9Ux\nLRbxPvtxtYqCiy/2gmmoOmv33KN3J5NZMqIYOZW5Lotue1FYdGtr7a2+KnJy1OvcPvts+tIx5FJq\nutfxOHDYYelizSSGZBbMIJBFV1afNYjgFGKIySLhkpXl/PMznyebeWKyOb884jxv2p8+H31UbeXT\nlUFl0ZUt+yOboyuDF3omoRtVMCpCV/erypxIAEVFyEkZ3II5tEKXnzevsujaIoomWRAjFWFEqE0Z\nqe40TS0Ig8kFtYE78MvMjX4sun7LIx7DL2PlR+iq7qOqjheFrm5ub1jXZZt9sum6TPCDtqLrssqi\na8J2GgHlKfuU7SMjaDCqsBZdN0fX0URoe2gVFRUYO3YsAKB79+4oKyvDqlWrACDTjQrAlClTUFlZ\niZKSEowYMQKdOnXC9OnTsXz5ciQSCVxxxRUAgHHjxmHmzJlRn4uaHj0yt9m6LgedUyR20O6917PS\nRSWYdBUE37CJwagA4KOPIrXoZsWFNxssWWKuWMU5hNy8wFiMG9lHE7hpH3igeo1PXQcuWxZd22BU\nPEEsujU15nfURuiaLMLEHXewT9pflS65S9O7TPnouOkm/e+2kNCVWUQbhG4SOUBKuGaxWPq50ne6\ntmQp1kHXQ3Wu4lrIokWXyrBxo9xDwXZ5IdNcM5s6jRe64nPYnBZd1bMajwPFxYil7O/XBhyk/tHk\nukxlCeJWKw4UmQaqgmDbMaZnKiqhqxMSqqXSdGnprrEfoSMiq/dGjcrM3wbbe8QPnPDHzJ2rPkZ3\nH/0I3CAD9Kpr7ycYFR0v7q8TuiLl5Xb5BOmb2Q5eqaJHm2iKfqzDEQHWrfgbb7yBL7/8Epc1uO29\n+OKLKC4uxsCBA/Fpg8Viy5Yt6M9FbC0rK0NVVRVWrlyJDh06NG4fOHAgtimi09KiwpWVlXjkkUcC\nnVQG/Pq5hK3rMh80KqjQfe01tiQIRSOMyqKrc9U77TTvO7+PKQhQQFpNAKrhw4G339bvw8/RBYAX\nX2Sfkgo5K0K3vJwFDQJY9Mivv/afRlNadE2I+5rmQREm12Uboatj82a2lBEAPPYY+xSX0xDnbD70\nkBegjVx+bcVQ2OsvizVA15a36KYkFl0avEkkMt20bYSuyqKrivwuCuNYjIncgxQCzK9FV0YQ12XT\nc9iUQlfnRVBU5Andjh2N2ZRBI+5krsv8c24SYWJaPE1h0bXt+NO9tXEPtcw2A0uLrvQ4zTVOa1eC\nCF3d9fdTD4meLqq0eNHJD8w+9VT2glHZ7K8Swyp34CAWXfHe64JRiVbMAw+U5xNERLY212XdNocj\nQqxa8c8//xyjRo3CTTfdhO7du2PKlCmIx+PYs2cPunbtipGy5XsCsmDBgsa/66+/PnyCDzygFrrJ\nJOuoff458Ne/ykfXeJdj1Ys9apQnhvj0CQpEQo1GVMsL2Xbs+IqEon8C4d2COFqNRRfwP9Bw552N\nx6VSTWDRPeUUoMH7QTtfztTpz5ZFNydH/wzbWnRNDVxY12WbZ/cHP2Cf5OIs5sfFH2iE5hhSUB3Z\ndb7/fk9cUjnCjoDLhK7wWxI5niAiYjHge99j3+PxTIuuLl1CJXR5y7Zsf5PLs7i/iB+vE9kzr9qf\n9nvvPf3+UQSj4tHVParfRKFLSykE6SBSwDXdffEjdEXBQMeY5nYC2XddDipCg+QZROgCzSd0hGP4\nGgAAIABJREFUbdPTLWFIaQHpgvL//k++709+Ij+WMFlmbUWszT78NeCMMMpB2P/+l33y7ygNePpx\nXVaVTySM67Jfgi4v5Cy6jlaCsSdcU1ODIUOG4PTTT28MLjV48GDk5OQgJycH9913HzZs2AAA6Nmz\nJ9atW9d47LZt21BeXo6KigpUV1c3bq+qqkJZWVnU55LBbnRQB0/JzWUuTVdeyVyb581j88w+/zw9\nFD9veVZ1REwRcAnqYJ56qt0JmPBjwSD4+ZTisaJY90GrsegCoTurWRe6fMMWZC1YIHvRRl98EVi1\nymvkf/azzH3E8oriY9cu5ilhEuJRuC4TL70k30cXtAUA1qyR50vlE/Mhbr4ZWLpUn5cK1RI0snxk\nFl3ZHF2ipobVQ8cfD1BQQD9zdP1ar207UVFYdP0885SueK2b0nV5zJj03wwW3cY5utdea5WV9HEr\nKACeeSac26eYSUt1XSYhHVVHmk5T9m75dV0Gmteia5ue7aC8buCEznHevPR9kkm5EUKVjgqVZVYH\nHy+AlmkDgJdflu9/wgnsk79fDz7IPjUW3QxsxL2Yhu39EmN22Fp0Ve/hxo3pa8TLrOI2yOoHHid0\nHVlG24onk0kcccQROOigg/APbtHn5cuXN35/8MEH0b3B6jlx4kQsXLgQ1dXVWLRoEXbu3InLL78c\nFRUVyM/Px/Tp05FMJjF79mxccsklWTolAdOIPs0Vpv8POww48UTWGb/vvvQIq7IXe/Nm1qEVO0Sy\nIDh+ok1v3KgPzQ/YdxRUke4itOjeAMHNvCVXXiEEYCzmCd2j8L/sC12dRddv1OUo7gkFHdq5k30O\nGWI+RrzeW7awwSWTG31uLnsPuPomDT9C96yzzOUEzMIX8AaL/HZuba7/88+rLay64zmhC5nrMvH5\n50zonn++fk1aEVvLLOHHhRVoWtdlXTAq23IF5ayzgG98g31PJNiUFuLtt+Xlj8eBwkLkpuqQjBmW\n9rKhqsp8P8O6Ltscm22LLqWvegZ372b70NJbYQjquqz6WeaV4Sdt03tnm56pjyGz6Jr25T9POUWf\nflBLpk25Vq7M3LZsGftTIbuuWqGrcF02wV932/XB6Xn3a+FVPSuTJmUOxtkc55eW3Fd0tAm0Lea0\nadOwbt06rF69Om0poQsvvBDFxcUoLi7G4sWL8a9//QsAcO655+Kkk05CaWkpRo4cicmTJyOnoUGd\nNm0arrnmGhQWFqJHjx647bbbsn5yWhEidhaosqK17265hf3xyCr9Sy9l1i2bUb1nnjGWuZETTgAO\nOSRzuxjRMBtWO56g6duszdkUfPKJP/dHi84XCd1ZGN80Ft0grsubN2fn2Tj1VODCC9VzLQFzw1Vb\ny4SZSWSQS9jChfLfw87RBdTzx/g8RB5/3C59Sovm+ds06J98ov5Ntz5mwzxEqesyb7Uki67faPL8\n8wgA3/ymfn9x/U0/Fl3+OmUjGBWfrt/lhcK+U6eeCrzxBvteXZ1+7VesSN/3F79gsRbq64H8fOQk\n/QWYUxaVj7qsOjCo6zK9qzaDsNleXsgkdDt2BG67zfwsN6IREBEHo8qw6PqB2ozdu4FXXkn/rVOn\naIUFpaUbONFFblbNkfcj1mSDeqJruI0YtsEkdKNyXdZZdG2twrZGDZXXjWnwxvY5onQ/+ACYOjV4\nOg5HQLSt5jXXXINUKoW9e/emLSW0du1a7N27F3v37sWWLVswhLPqvPzyy0gkEqitrcWtt97auH3C\nhAnYt28fEokEVogNepaIQePyQS8xzc8QhRl1Znl0HU2xUpB14v2M+qrmxvAdCFuLrqkx8UOQEUkb\nPvggO8v3yKziuvPm11ZVQEJ3INYghhTi3xplOMLAm28Cs2ZxGQgW3aDXJRsW3fp6JlK//W11mqZ8\naB5UWGtaFHN0TRZc8f8BA4ADDtDvI6Z9zjnyvGTYWER4SMQ2HCcNRsVTXw888ki6S6LNuyp2ZBui\n8SvxK3RVwkvcbgoUY1un0XMjBoOh42kgJxvz3Inq6vRrv+v/s3flYVIUd/ud2YtdblaQG5RDEARU\nBFGQNR6ICV7xACUG44EHKmq8PpAg4IFJ8ELBCzURkXhERRNEiUDUCHgAIoiK3CDiIiiw7DXz/VFb\n29U1VdVVfcy1/T7PPjPb011VXV1d9Xvrd/1s//2++yxzxJwc5MQqEY/I21OAg4kHX3oJ2LnTfoyf\nX3iYEF2ZWaXOnCWKYKsLnefM+6KLIHJNcNMOn310W0aYZ+bWdPmvfwVOP93+W04OGROse5aHdiac\nZzJ/6bp8ealT9ezd+LY6pRcCbPcpJbpOJJvtK12Nbm2lgvty00dOEelNZLx4HJg0CfjjHxPLColu\niIAR4CqeeiiJLhVgqO/wrFnOBYpebFoOP2F366bXSFNUVRHTxvPPJ/lwWQGUTSlEccghiakFKNwQ\nXV3SZTJ5bd5MTGBfftm8PU4QCaoq4XXChMRj111HPgX3NAD/Q7xBQ5wPD22/6iqANeVnTStVJm6m\n5MEvossugG6ILg1G5RTx1ivRVT1nGomVH8+8ORv/zovSTzgRXZ70qWAqkHAuEsR0WSMAEBtlV6dd\nvMbK6RnTMt2krmDP5Z+hKIIuPSbKo+s0/1PBiwefHikIxGL2Z0o3H9ats58XjwM5OciLlSOek2c/\nziAPAiuaESPIxgYPp2BUgvKF9crO0TFhDlqjq0N0adR1nWpVxMhnH93Rscft57khunzEeBa6kfz9\nNF0WXStLK6Y6pjqHH7uqGAFTpoh/c7Ia4cHPEcw5CVGXeag2JGXnmVgN6EA2RzvNfSYb8H/6E/CP\nf1j/68whIUL4hJDoUugsuu+8Iy+HL+/oo4ExY5zLlEHWbipod+gAbNtmP2/79sTz+/eXT1imiwig\nPymZTIK0750iPLqBKPCXKcFX3PNgLAYiEayAgf+1U/nsDq5TLlgVgjBd3rQpMc8wD12NrlPaDyci\n7IXoUs3gvn3i95qCH8eiOtlI5ixoP1BBYvp08rl4MXDjjfI6ZaDlnXOOdYwTZhvhZxTt2SF/9lQD\nzGpGZWSPBW+67ATeR9dpLMpcHfj6RP7LNKWdieaDlitLreSUN9gvsAIt7QPRJmlODnJjFYjlyN+J\nZrKUQqI+0fHRdQK1NhGVobN5QqPZy9rxww/i65zeewodousVtN1btpidb2q67IboioLa0fp0Uy7J\nSNB//0s+abBOHR9+E42uDuk10eia9J8qCr0T0XUyXXYbjMoNvGp0v/9eXp7qOh6bN4uzF1CERDdE\nwKi7RNfNTv3VVwsqUZguBUE0KElo1oxEjWYhmnhUk4hO+95/n3xSn2rdSclk8qKLrmY0Uc8wfS6c\n1oxdvHIRQHRjXdNlt+agXjBxon1n1g3oZk3nznZhl4eORldFhvn7Z4NasURPZb7I931Vlb1dgwfb\nI5mz4Inu11+TzxkzgEceSTx//Xqy8+3UlkMPtY5xY7MeBEHwWPzyi71tADBwoPoawF0wqpwcYNAg\nveuYqPw28NeJhFBWYy6rh+3XwkJn4p4MjS4A9O5tfWc3W/kULTk5yKmuQDxHbk0xA9fYr1FFzDUx\nXZZlCaDnuTVdZoMz8uvFjh1knIvK0SW6Tj66xlCYhJrmp3cgulEvRJeuGaKAmBS67VWliSotBe65\nx6qT/dQBr9EVwc1mPC2b/TS5XhUgS6QQUd6DxDVG1q4PP7SfR891I2OYEl16TmUliQ/AWzvoBGoU\ngXfJ4NsTEt0QAaPuEl1dEtCqlfp3memySR0moAnN8/PJdzbYxJgxRGBkhUavk8itt5LPsWO1cp+u\nQG/sRSMz4YKWKRN2/cYPPxCfYB4iwfDBB2074/kHfybktgZCc0Gv4Iku7Z/ly+1aDlMhIYgFRdd0\nmQ3sxmp0RabiFKrFef/+RNLJg3//Ro2yvrOCnkr75KTRVZmW8+VT7avs3Xj+eSuataotrKZGJszK\n+o6WbyqYmxK+WIz4JuuadMraw+a4BIiljKguwCK6DzwA3H67vd4TTiDP6euvSZoTp2eWLI0uTbkC\n2IVodqzWtCM3xhFdDo3ACZSc/zZfnvQ3noSp1lBZP6qitYrAl0OtRvbuJRohdsynjOgqQN2DnMY5\nTwil41BT8ycCfS4ijS7tCydrGf58EVgCw9+XaPNszRoSyJBi504rUJ8Mqvv2S6PLB7+78kr5uZ9+\nmnhM0ZcJGl2VSTJgpXg0CUYlrVyT6PJt+uorcawSfk4qKUnsK14LTNGrF8BkbgFgyZYhQgSMukt0\nVS/+448Db79NNCwic2BROaKF96ijEo/xuTVloGZX/KTG+jfyC9mHH5JJSjeNkdPiSc2T2PMdJtk4\nIsRPULRAyvKDJkMQYXHBBeK0OKJ21KtnkYl4HNePb4yrMbP251xUAdGIt+jLfJ+yCxsVWu6/H+jX\nj2g5qHCsMrGi16YCon5k2+JEUEXXsKiuJgTINBgVmztRl+iyvqb0jxVsVO8Er9GlwrvsfNG9fPkl\nMHMm8cen1+kQXRHq1bOC0OiaLlKYamyqq+3PT3XdhRcCQ4cmHl+3Dpg3z35sxAjSHyzoeNtRY7J9\n661A3772c2hbunQB2rRx1qzIiKCf1hvxOIn8S8eizH0mEiFEN16BWFQuVLMbcDbMny8uk/0U/abj\nX/jTT+IyTj5ZrwwK/rxOnchndTVx03n0Ues3U9NlWRuotZImlHeiO9fyhEXXdNkE1HRZNDdQcmrq\nvylqAzteeRcuGlmcx2uvWWW9+CLwxRfi80w12LLrTImuG+2pws84QS7g10bZ/OJFoyt6tx96CKjJ\njpIAXfmLtyBs0QJ48kn7sa1bre+sVcrkyVYuYopjjiEbl6FGN0TAqLtEV4WuXUm+Q1YwlkHmowsA\nf/hDovBy1FF6QqbMb5UluiKf1qIie6Rh0SRy/fXk06lv/v5363skQv4Ei2c/LLX9H4Nkp7+ggAjs\nPJI10dF6ZD6mogm/oABYtcp2aBgs4TsPleJ+pFGUd+60ou6atJM3XWY1opToOo2jZGh03YBqdJ3g\n5L9UUWGm0W3d2vpuqtE9+2xipsyT9EiEpBhbuzbxWtrffAAoE6L7m98A11wDXH651RbW3FUWcEbU\nd08+ad0rHznaCTzxcxpLvP+daq5p3lz8e9euQE2OdhtUJnS6fnxNmwK33eYc6C0I9xMelJA5EV1e\no8u1nSe6eZ99TL589llimSY+urI+qqwkkX39gEzYpuOV9aPXjdar0ug++yzRSD38sEEjFabLuqb9\nvKUO27fMPQbuo6uLqip57AzWr96tCTfrI6/adBH9rnpHTUyX+bFuukGsGIsJwah0IxWzc4Fp1OXa\nyplrOnYEfv1r8XlOAcW++kq/zooKEjumrMzSTtMyCwvFbUwXuSRE1iIkuiKYmOmpTJcjkcTjubl6\nga/ohMj7N1CSICO6fFAX0SRCU2c49c1TT1nfKdFt3BgAEEV1bf0DYe3eKjW6gLjNydDoxuPOi4zo\n959/TpjoD0Fp7fcoYqgVgFi8/Tb5XLbM+g6Qe+X7QKXRjUTsqYcAiyQ6Ed1kaHR1TZdZmBJd2S59\nebkZ0WWFMLZ+HaL79tuWCSVbTiRCNjPefDPxWl6j62SiL7oX1vw0HgcuvdRu8mViukzvuWtX4LLL\n7L/95S/icihUG3o8ystJFHFdja4pVMKjbpqinBxg6lRnoptMOBFd3keXA090m4w4034CuzaYmC6L\n5icWqui+upA9B9on775rmd3z1gIysEHKeND7PuII/TaqhoTueBERXfreH3987WlkXalBED66JuSC\nX38oRBpdXZNoirFj1b/r3LeK6OpodKlfrEmdLLxodHnwawa9xq2GWwdOY6F7d+cyevQgn8uWAW3b\nEoXL669bv0ej4qCNIdENkQTUbaIr0hYAZkRXZbosAt1tdXq56SLC++xRH928PDFp5HdxRdFM//AH\nvbayYCekeByTMKHWv6YKZHHbgZZYiv5ijS79XxVMJkhUVTnXIxI0Tz2VmM5JIB1jogAMAPEfdPJL\n4k2X2eBPAwcCb7xBvjdqpC4nGcK6LtFlBdM77vBmukyf48GDZkSXFcJYsqoaF+x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dGtCYDnGvxzUpkuA8TCgZqryfDww9Z3UTn0Pp3ydorGmCylUDpANtewmg4RaRIJPH4ItVT4kwmH\nmUB0R4yQC7E1/a2j0ZV25zvvkD8R6P2LYlDIIKpo0iS7WbTps83JSYxJwMPpdzc47jjnc+itJGms\ndALjF2tS5+mnE42xCrrPRUZ0ZabvFOxc+OGH4nqDyKPrB9i6u3QBtmwh36++2qpPllLS1HRZdZ+0\nDw87zH5cd+30i+i61eiGCGGI6upqjBkzBvPnz8eaNWswZ84crF27Vnje7bffjjPOOANxjbkiq4hu\nwqai30RXZC7lxpFeRMJYyExTnR6oHxo8WodoIlMQOrvpMgc2xQtFVZU1kTdqZJlzU7M4kV8Vu3hO\nnEjul93NYTWoIo3uzp3WfT3wAPmk9X77rbz9kgVDKzgJCz5fMo+9e63gSDrP0lSIdEsoeM2cH4KF\n6v502zlnjlmdVDhh/bdVRBdwXtBvuMH6riK6KmsMHX821bUipINGV0R0KbzOVbL7460odOtLB6Kr\nAiW6kmBUlbAL3l/iSLPy6f2bRA4PImCc32aZutCYc9xqdJMOWR+6aTd1V6JEl/bTWWepy3aKvi5q\np1P7TNYvPzXCbbnUXZGIOFuGoF5p1GUTtGxp/z/ZGl1aHzuHpuo9DZHVWLZsGTp37oyOHTsiLy8P\nw4cPxxtvvJFw3qOPPorzzz8fzTWDfGbVtgwfjMp3sGYsDz5IzKdOPNG8HJboigiW22h7foagF9Vl\nqtEFiBZTNBirqsSBaeikKtqRZttEc9/OnEk+Tz3V/nteHvmfNd+qqLAmaLpLSomuauKWPI+fa4JR\naQt8oqi/IsFy9275jrEJ/PLR3bWL7OwXFKSXj+7w4Wb10z694ALyqeOja7JzLSonJ4eYqA8bJg1q\nBsB/osvDb+Gcbe/vfw+8+Sb5zr4Lf/qTu/Z4GWMyopYJGl0VatqnE3U5HgcuxzP4GAOMy0ezZq6b\n6AuuvDK19Svg6KOrgOmm+09ogqbYw1RucL2fJOSYY4icw2t0+flKtdbIfDWDjNPg5XqnayMRy5dc\ndu277xJXqS6S8WzSvrlziX89RbI0urxFHrsW6q6L1AIs9NGt81i0aBEWOVhubtu2De2YmDlt27bF\nUi4u0rZt2/DGG2/gP//5D5YvX46IxjjPKo0ui0BMl20VRIBBg9wJqJTozp8PfPpp4u+iMv/4R2dC\nRYVNL6AT0oIF1rEpU8inIqCOlOi2bi0mbSzRZQeqatCyRIJfeBcutP8+fnxi1L/9+y1iS+uh5NPQ\nVHg1elj/6BJdfrKniwU9ToX00lL5jjHF8uXWvcjgl8Zl/ny7ybgfpsupIBZ8n1JNKtUC0jQKLEyI\nLk+yBg0iEStHjQKKi9XX6s4j/O6+DH5tcsjAtvf//s+6P/oOnnCCeBPQL9Nl0fj54AOgJqe71vmZ\nhJr+ri4UWxDxRFc6H4tSfjDl45JL9NsUhPDKm8SmGsy4MbbgodeZdlPTpvgCDintVPBTowuI0yo6\nkS36+1tv2Te643Hg66+d2xOEtYAudOru2hVYvDjxOH3Yp54KNG/urHDReSbt2tmJtZ8a3SuukP/G\nWxayz5z129dB6KNb51FSUoKJEyfW/omgQ1rHjh2L+++/H5FIBPF4vO6ZLrMInOh6ARW4ly8X/y4S\nejt2TP2umEKjuw+KaLQiyDS6uoufyJeMjx5YWpr4O08Oad2qxU3wPI7C6trvkRhDsPlIyyz4tFp0\nwdq0iXxSonTwoLNGl4+aKgL1r6LwMn7oWPWL6OpEOvYbbJ/Wq0f8r3JyLKLL5xYFzLQjVVUk5zId\nL0uWEG2un3DaAKFIpulyJAJs2EDMHNnIpCqwv/P+yzptF51z4omZHYxKhGeeIZ817fv01peEp/HE\nljdl1obJeNchBKles7zgqafEeZP9GCt041CEnBxvFmk6z9DkueTlOWt0WXzyCdCpE/n+618nmi4f\ncoh+3SxS5aZhUp+f6YVk8FOjqyqLX2voucOHi7MEhAjhEW3atMEW6hMPYMuWLWjLuQ58+umnGD58\nOA477DC8+uqruPbaa/Gmg5IvJLpu4XayBtxFYAWcBQs6ETmF/ldBtJhQTa6i3RtwmPQ3IdhgVG40\nuiL/P1VUUYAQEUp06UJMoepbpwWDbdfgwfLzvvzS/j+/M0uJblmZPqFRwak/TMCSRD+Irqq/gxKO\n2XsoKyM75dEoMGsWOSZKsyALbiTC558DX3zhvv2KqOYYNcpdmUGBnaOo+ffy5dZzlc1hos0thzQr\nviBT0gvxoHNuzef+Vp2Fp/FEV6rRlY3NIDUu3br5X6bfEPXLFVfY4nLUdo0fpsuqlEciomsypwSh\n0eU3TVX+tXxEbN50WWeTM91Nl2XnJSNuhkyjO22a/X+d522SAi43F1i9mqyXpmMpkze8QiQNffv2\nxTfffIONGzeioqICc+fOxVlcPIDvvvsOGzZswIYNG3D++edjxowZCefwyNDV3xmBEt2tW4GLL3Z/\nvROJado08Vgk4kx0aYRYp6BHKogmJGozP3gwcPXVKDvyGNvPf8PvEFMFo6JgtalsMCrZZPvZZ+S+\nqVDA3v9PPznXJ5qM69cn98in8VBFRDaZ1E1Mrvi+NtHo6sBPrSltj18+uqpygloUO3RIPMaSW1G9\nvICnA7ftV+XNpYJlqnxyecisMOiY09WgiiKY9u7tvwbW6fx0JcK0XQ0a4NwzyhArEEf5Z4MBxuMK\nja5s/LgxFdUdi3/4g9mGUZoiRuWJzZuNrhN2k2o85uQgCg+mu34HCmI1uqKNKkB9P/y5TZqQMcHD\njTvDhAnq3OZuoEt0Na4NRKMrI7p8dGa3ljEy5OQAPXq4yzQSmi6H0EBubi6mT5+OIUOG4Mgjj8RF\nF12E7t2744knnsATTzzhvlwf25hWCITo0pfVKVWIE5wWIkp0Tf3s5s0DOnf2X2ij7SguBmbMQCHX\nrvXoJLhIgEWLSMqUq66S++iy+Oor8vnFF+STFcZ27XKub8SIxGOiTQQnmESDNBEY69e3m8v6qdFd\ntowEEmHhhUCyRNcPja6phsIP0l5cnFgvnyOYxzXXWD5lumjcWGwG7QRVv44da5mxpgPYOYydb5w2\nr3iIhLb77wfuucd920TIVNNlpp8rc+pJmxlj9qyVProyuJkbdE2XIxG5cP71184pvJIBk/uXRfZW\nFc/LIqr60k2jG4kQ/3e3ZdFz69cnZCw313ku073fu+/2dr0bmBBdJwsKNzjiCHu2CRk8anSrY7Cr\nL8KUQiGSgKFDh2IoZxo/mmZj4fCspmtY1o7cQIiuXwESnCagCRPIZ//+VoApHY0uNbPysqNLJ+AG\nDYB9+6y6FfgL/qhX9nHHWTkQZRpdtq6NG+3X+0F23GwCqNKkAPZFS2cBe/xx4N//TvTZZYMZeV1U\n+LyQF1+sH8hIhB07gPffJ230g+iqorvyfegUGdkLnJ7d9dc7l/Hii3YLj+XL3WmCVf3asyf5FLVR\ndF3QwajY8SkySXcyXaafNDcli2jU/3RA6aqxdYJmu/m1rlaj262btWE4ciRw4YXiArxodGnkezfo\n0sX9tUmGTqAUX+BVo6sIGlkLk/mADUwpg04wxy1b9C2V/DALNsDaomPR/cCnevUYmS4H0OZoFDj3\nXOfzvBLdao7oaqZyEcI0eFWIED4iQ1d/ZwRCdHniFTQefND6rhOiXRQG3hS0Dp3FsgZlMDBloW2T\n+eiyGDfO/n+qIjHSYFEyv2z2uegQsrZtybOSmS4D/u+ezp4N/PWv3sr41a9IdGuveOIJ4KST9M+P\nxdzlq9aBHyaVvOVAly4WMWXx179am1gi0PfgqqvEv7dvL44qnApt5NlnA++8k1i/rukyfZcfecRd\n/abENVM1ui6Irk2jeySTT/fPfyZprkTwQnQlu+3Zhtrp2g/C5WC67MnkVWZxRuu84QZ1tF030CG6\nTZv6b2bsE95tfL71T7qbLsvgZg7TnUc3biTrtpu27NgBnHxy4vEQIZKEkOiawM/gPjrgJyGnCZie\n78W/s0sXUg5bl2pyGjIEcZNhxPoaqrQ/ooBaOiSyY8fEY27MlVnQ/pQREFPT5WiUEFn+XJbopnNC\ndreL1YUXAnfeSfrRKSAbi+pq4JVX3NXpBLbPgw6YcfPNRKsmA+3XO+4Q//7118Crr/rfLjfIywNO\nP518Z99fSqycBCivm1YXXECsInSRqQJW1G6SLANPdGv/Zy0nVM/EjcVENgWYOeOMxLgNPFSaPAVs\nz0MHXomu06bgqFFm2jmdTVfD9HyOSHIwqsF7Xte79oEHgJtu0q5X+hyT8e7okFilnME8tw4dsPTL\nBrjtNs262fvzYkkWIoQPyFqiCxguLjpwY44ow0UXOZ/Dk03dqMtetIEvvEBMddm6VAsVk9xZC2zu\nWFXU5W+/TbxWRzgWkfx771Vf4xQqn7ZZ5PML2EeZzgIWiZDAXHwArGwnum3bOj8LQNyHjRu7q9MJ\nfO5bt9D1M9TpO9n7W1DgfhMrSKLHlk3nSFF9N90EXHop+e6V6BYUEHKiC79NoZMFrt2yZvJr3Q9o\ngR8ffsE+XlR9oBPcL6HSLCK699xDoqYnCw4+ugmmyyZ9LQoWtGaNPQCcCUw2Jd3iqKOA006z/hfN\nDyZ9YDg2WR935bW33kraqgnHDYv27aU/lTVrrV2PuHJ/g1E9/jgxCgkRItOQtUQ3pfnLdPCrXzmf\nw+6ym5gue9Ho1qtHSIXuQmFKqun569dbkRxFky0fAKi6Wk/rILp3J6FaZGbKgrZZdq9uNLoiYSQd\nia4osXfQpIDtz6B9K9nAMl4Ed5nvIw83wsdHH5m3h0eQpET0jETHpk2zhMRkuiEcd5yzluussxJd\nJdIBmuN/Jw6t/U40iFEcOOcS4Pbb9co65hhnjSaPbCK6AeMT9MWLvQXZEBo1StxA9arRFbkdde9u\nfTedv9m1yk0uW536Vq2ysyiRZVaAkCpFvKYLcrq+VSvgoYeEP+1rd6TZOAjSdNkU6bpxGKJOQjnK\nu3btimg0inrMxFlSUoKcnBwUFRWhqKgIkydPrv1tyJAhyM/PR0FBAe67777a4y+88ALq1auH/Px8\n9DFdTF0iENPl114jO6N+QIcgssJgnz7J0ehS6Joum06UbNvGjCGfhx4qPpfF2WcD55zjfJ4oWjEl\nyLJ8nWybevRI/J32haz//SK6J54oblMqIXq+ySQpzZoRwY0XGPicxG7BBhrzIrjXr693nhui60Yb\nmUwSIqo/aNNlEyxb5rz516IFMGVKctpjAs35dR8a4vsasmt79GxKLVVZvXubazTrGNGtlSdcmC4f\nRCHe7MZsOrCRiK+80n5BTg6OgQftslP6F1MSorPp6jex6d07qeMrrqvRtV0kOI+b17SIqqS+uNc+\n9ZpHNwiEBDhECqAc5TfccANmz55tOxaJRPCb3/wGBw4cwIEDB3BXDXmYN28elixZgj179mDhwoWY\nMGECYjUv/dVXX40ZM2agoqIC27dvx5QkCBSBEN3Wre07o15gQnRbtgT69bOiZ8rgh0aXQneyN9U8\n8vd90UV2bYtsInz7bZKs3Akqje6kSc5tolGuRddL/ZqYvjr9dKmJcy2iUXtOYRHSRaMr0qIHFQFZ\nhM8+I+OePoNf/5oEsmKD7HjBnXdaUWO9CFb0eYpy9bJIFtFNJkT1O/llpSqwXKYhx54fVwVeqE44\n341QqyJNdYzo1sLP+66uTnwuXgPkOQWSNJ0vvL6rjRr5o6EN0HS5OsKstz4+Xy2iKwty6bnyJBFd\nE7k41WtViDoJ5SgfM2YM2gl8MOOCiWD69OkoKSlBUVERBg4ciMaNG2PWrFlYsWIFKisrcdlllwEA\nhg8fjhdffNGn5ssRCNH1EzpElxIKutA45Vb1U6Or66NrSsj48+fONbveCSKi60TMog67uVwk2b1o\nZP+dvSY/HzjvPOf6nHbd04XoioScoIku25/t2hHySI/97nfA4sX+1dW7tz9RY6kf2/0C80QWQRBd\nEZJJQkTtmz5dfU1IdPVw1FHA4YfX/qu0EK0RqhMePU0752YcqQIw1jWiGw1AngKcxj0AACAASURB\nVBClaxPNryZ97TeZ0HlXVXXm5wMbNvjXngAQc+PFp5FeSCsYFZuaznax4XPkz3dLdFsT32BtjfK2\nbUCnTsKfXKScDhHCd7jazvnXv/6FwsJCdO3aFZtqUq/s2LEDhx12WO05xcXFWLduHVavXo0GTEj5\nrl27orS0VFp2SUlJ7d9DEt8FHaQ90dXZ4aTn0Elx2jT1+XRi8tt0WQWvRJfHgAFm5fEYPx547jn7\nMaeFmu0vlTlSzaLQDFxeXVHeVxUyieiKhC6/AjjJoBIg0lW4pptQTkGzdInu/v3W/5mo0XUa3yHR\n1UPr1iSegQakRPfdd8mn33NK27bE5LuuwOXUo5y6qqoS3++g2YHpfKEbYDGdYLhORBAHiotdXWuD\nm3ktlX6yorrdaJgFfbZ4sfMyECJEMmD8hk2fPh0VFRXYv38/WrRogdPYSHk+YNGiRbV/Y8eOdV1O\n2hPdE05wPqd+fRKl9PLLyf/XXuts1rRhQ3JNl/3OZ3nBBcCnn5qVyaJlSyuyK4WTBpJNF6AiujVt\nTxhXbohuppguixbuoImuCKbRvd3Ai4BDNbpOz40f/4sWic9hx4dpmSIEuUHgRsgNia7v4CP11j5y\nU5cW3WjWy5erfeXTjfx4RCDyxP79if30yy/W9+HDayr38f31Yrqcyo3GAOsujxRaqbiSbbrsW2Uu\nNLr82vLOO7X50Xd37oe16Oa6Odu3u740RAhfYUx0e/TogWg0img0ivvvvx+bN28GALRu3Rrfffdd\n7XmlpaXo3r07evXqhX379tUeX7duHYrpzlmASHui6wSqIXr+eYAG9opEnLW1fkUrbN7cSu7up+ky\nD5HZKK3vuuvMy4tE9EzBWLCBhJJBdCMRZz+qdCG6qfbRpXDyfU016Ptqon1t1w4YPFi/7HSFm/EQ\nEl1j6ProJpxH5xLdOYVaUr30kvq84uLg/AvTELWvbtA+uizRran0++/dFf/j6YJ4EXVBo3vSScAV\nV2ifXhnJs6c+dAvedNlLWV769O67idJAhUWLSG53Fl271sZX+OC2eeiFVXr16d5nuo2TEHUCxkR3\nxYoVtd//8pe/oGXNS3Hddddh8eLF2LdvH5YsWYK9e/di1KhR6NWrF/Ly8jBr1izEYjHMnTsXF8t8\nEnxExhPdVBOdZcsSU/zU4JuXrTHgmLZDhKlTre+qwE2DBpmXLZpIdYRqqmEXTdjDhpEgSFYlem04\n5hjx79GoMyFK9fOnSAXRlQb9QrAahWRrdGWbVvwYdtrcSnXUZTfBc9LVBD3NoeOjmwBRvnKdSoYN\n029YHUDtkPVj7LI2nfxzYXNy16wTH7rMMLbrqvHuLmShs34mQXlhhObNgaee0j79rcYjgfnzSZoj\nH4mua3t3r5gwgaQuUmHwYEuZQcGMxXhOLqqgaQUydKhhA0OESB6U0naHDh0wePBglJeXIzc3F5dd\ndhl++9vforCwEIWFhVi6dCneeustAMCwYcMwaNAgNG3aFKeddhomTpyIaM0kPXPmTFx77bUoKChA\nq1atMH68D5Mvg2YgPr+sW1vGE91UazxatLAmSm4hPnhEb+ufW24xL3vIEOu7yImD1nfRRVKyLYWI\nJDlN+GydokWub1+gZpzzeBg3oPp6zsSeljFqFPk89lj779GoM1lMl53PZJsuf/AB8MorwZWvghcB\nx41GV0Rgx42zhEZq0ZAuqaZkaN0auPVWs2tSYRWQ5ZBqdE3XEjpGvbrApMsc5hdc3o/QR1eW33jz\nZuDjj1FBCUYkgirk4Lumfd3VHRVsvJneB7sxLawkLvXVjsWALVvMqksF3ml0AdC+PQn+5iW9EHeM\ndydQXusDNm/2WLRbuXPMGOB//xP+pAjJEyJEUqCUyjZt2oTq6mrE43FUVVXh2Wefxfr161FWVoay\nsjLs2LEDPXv2rD1/wYIFqKysRHl5OcaNG1d7fOTIkTh48CAqKyuxcuVK32+iFIegHTbj22/txzOS\n6NIw7emk8ZAsjPE2bSxNlgl6M0TZyVe1SxezsmsiBtrwhz/Y86WKQO+xUSP5OYJnMhYPI37pKPtB\nKsRT7d4nn9hN/Fq3Tv1Ghi6SHYzqxBOT448rgh9E16tGd8oUqwwaudiNRtfNOW4RiQC33WZ2zYAB\nxLwwhG+Q+ui6HdfpvsGSZPhqusxu8LL93K4d0KABqmCZ0eahCqvaGGrM6GZhjkDEM50LrrlGfM9t\n2jhe+ve/E/7oC9JJJpIhlW0sL0eHDmSv2DW8pLaSjKtDD3U+J0SIIJE1K1kR7GkQkhoEwE/QiSCN\niVDtXF5W5r6QZs0I+RRpdEVkFSA736b9cuutpE+bNlWfR3fVZXWbgC4WItJz1FHE35QlkBs2AEzE\n8rRCKtILqZCuwg7d8NHV6L75JtBNM9CHk2ZNx3Q56H4zFWA6dPA3TVQdgGsfXdNnTzeyvAqljz6a\nVZr7GN0479fP34IFGwqeN+l/+9uaL4Jy/CIbs2cDJSXKU5z2l9MS7Pti+u7ophcKAjUmjUxIHHME\nQHSzaAoIkaHIGqLLTygZa7pMJ8p0IrqyhdFLGoQBA4C33xb79rRooQ4KJcKZZwL/+lfi8Qce0GuP\nzuKva8onIrqUAFGhhp39/Qog5jdatEhNeqFMhKlGd/BgtfUACzZYmhucfTZw+uneynBCuFOfFKi6\neQymowH24SK/iK5XXHutP+WkGwxjRzhmRlNpzj1sUDVDKf6b54X1CMC2J6i0OKmGj6bL0mBUGj7N\n5U1a6rWDgvXdM0UkQtruZa0J14AQaYqQ6KYjbrwxMyYNLxpdqgFr0sSftvCLbr9+JKCWLnT6u0ED\nzPjT98DdDpdWVJDPY46xhBje7y1TtjnrEtFNpumybiRlt21ir3v9dXdlmCBbhd4Mwt/wewDARTX/\n1w4BU1/bbH2/PaPm3fV7bQ4o8OBPaAZEDyT+4Ff7ky2jJMuah63Hc4RqSZuHDnUMpV3eWBGUkce0\naUSL73ZvqaCAONMqXMkcu4I9QXZyJsi1IbIOWUN0ef+kjCa6NL1DukBgYvkBTsQJRx9038N+Llp/\n+hPxg2Vxzz2ASY5nTUH9QMNDnU/q3Jn4Wh1zjKXdpRO8SKObzkiXPLoU6R51Wdd02Y9c1wAwb547\nP3m/EQowaYOEYdynj1lu8pDoquHzWK+O5CI3Yn9u9VBjLTVqFPCieZm0rMoWbYAlS+w/+tV+jTUz\nXT1NlEiG6XIkwjmvJqK6wCF+CYubbtI/V4R69ZzjpZggIx98iGxF1mzDZ5VGN50QjxPixh06Ge+j\narHLnAd+gZpjVlcnTqzHHGPlH9ZB48Zap2nJCIMGkfCHogvvrlEH80T3mmu06k86RIQ8VTltJ00K\nNo2Bl8WZRlxxIgl048AvLc5vfiPe0Em2oBFqdAOH60caichTnYngJmVcXYIhUXQyXY5FE/UNOXTj\n3mSzVoRIJNHU2gvRZWWBbH3n/cyj68ZHtyaQWHWBR5eVZCPc7AyRpsjSmSokukGjCnn65pdeceGF\n4uMzZpBPEdFt1gy44w79OmbNAtatc9c+HdBFgAbvGDDA/vvjjwdXtxfwGt3ycuC881LTlrvuIs81\nHUGDqjn5SXkJ9hE0rr7aSollilDISQp0utnzHke3bsDPP3ssxAUcAhulGvGgxngA0a0d/YLdFtqj\nh/X/ccc5poLztcsyQUvoRxuLioDXXsOmM0Z7L0sHt95qT3flFpzpcrgkhEgXZA3RzWiN7gknEBNE\nIDMm8xp4aqrJxXPnio/THWUR0TVFkyZA166uLjWa0GmbTzghMN8sX8ET3fz87CU1frx7TkQ3YLPQ\nw7He/cU33gg8+6y7a7N1TGQgfCE5qdDqplMARhUywEdXOQb8an9ODhPdWd2OjEIyglE5lXvuuaiq\nr2dl5hkPPGCmFJAh1WnuQoSQICS66YCFC4kJYgg5du5MPEYFhPr1gYcfBv75z+S2yQR0gmcn+nff\nBRYssP4fOjT9yO+oUcDll6e6FZmBF18ETj1VfU6HDsR6ICBswOFYcs2c5KerCgWYEF6R9qwomGBU\n8Ryi0U3a7Yfvqho+PogINDdvXn01kPqTipDohkhTZA3RzehgVBn28vsyD5sW0qIF+SwosAJPNW0K\nfP01Mbvp2hU45xwfGuYdsRgwfz53kKaSYZ/1ySfbfbD+9S9CltIBDz8MPPggcMopwNNPp7o1mYER\nI0hQDxWiUeCyywJtxsbjh2ev/1wdRqbKv4648UbyGYAJbyDwy0f3uefI8dw88e8ekBSNbrKRihfA\nNB6FWx/dU06RlhEiRAhvyBppqBilKMH7tf9nBNH98cdUtyDzkJsLHHssWQwaNAC6dEl51Flebvj4\nY0HMpOef1yssXQjKDTcAF1+c6lYkF1kiYGTJbYQQwMRHN2PGAc0y4DVfdNCI+qzRrYm6G2/gv5l4\nxjz7dAT7Ah1+uPN5LGKJChdjtG5tfk0AMB5D4aALkaZIE6naO+7BOLyPX9mOpYroRiLWX9Om1vFz\nzyXHduyoOVBcTDSSLFHLoMkiJU3t2DEFlZpB2C+6+YIHDSKawRDJRwa9e2kHGowrRMqRscPYz/Qm\nQSDmc8fW+PPHI0QMCzW6aYJUvED0mVRUmEVITydUVKS6BSFCCJEhtkLOEPnopgI//WT/f88eEpiw\naVPg9dfJse+/B1q1qjmhS5dA2/PZZ8CGDcQCp6KCBH1t1gzo2TND17t00XiaQnfxPPTQ9DFfrmvI\nWIZgR0re64ycTEKkDRYtEuZrzwZISScX2Tr00U0TpDK9UKbKNwARdp0Qjr0QKUDWEF3WR/dj9MeN\neDglGl0Rb73gAqBdO80CfF7tjj1WfPyVVxwDJkqREh9dikydKLOERIUIESI18BIMNu0xeHCqW6AB\nnzv2l19IqYJiK5GLPLiP0J6VGt1kDWwfie539Y7E4QdWwyFygzhYZabhlFOA7t2BtWvl55xwAjB+\nfPLaFCIEssh0mUV/LEN7bE4J0S0tFR+/807g+uuT2xYV9u5NcQOOP95dCos0XAj4JqVhE0PoICMZ\nQiKy5DZCCJCVPrp1FWeeCVxxhfB5rUcnT0Vn5bMfPlwQ/CLNwHX85A7PoBl261+fycJDbi6wZo36\nnIYNgcmTk9OeECFqkJVEFwByUJ1WwajicWsOky5CS5YEkiInqKw7nhbTO+9MMN3SQgYsBMJ+yUrJ\nI0SIECFCuELnzsBTTwmJrl+yS1ZpdO+6i2Qm8Bmb0N5+wMc8ulWRPJRBw/ecXpepzyZEiDRG1hBd\n3hci3YguoEF0Bw0CjjzSt/poPSUlvhUZwi1CopsWqFJZA2bJM0qZrLR6NRN8IESqkCXDOGvgpGEX\n/e41xkhWmi4HgU6d0BGb7Md0X6C2bROPuX35wpc2RIjAoCS6Xbt2RTQaRT0mN+T69etRXFyM/Px8\nFBcXY9Mma5IYMmQI8vPzUVBQgPvuu6/2+AsvvIB69eohPz8fffr0CeA2LB/dyzALAJCLqrQjuqky\nKROtaz66oSQXabhIa5kut20L9OiRlPaEEGPvXiAvrzbYqR3vvUc0BlmAlL2fPXoAt96a/uaFGQpT\nRVMoO/uLSAo71LRq5fn5+Z7a4ls70gFe5IkePRJvMIuJrmlXpaGoFqKOQkl0b7jhBsyePdt2bMSI\nEejfvz8qKirQr18/XHTRRQCAefPmYcmSJdizZw8WLlyICRMmIFaTU+zqq6/GjBkzUFFRge3bt2PK\nlCm+3wjdAZ0MIqymm0aXfem5VGuBQTV3ZsC8ml1o2JBovDIVjz6a6hZ4RlkZ+RRmQTjlFBKOPIQ3\n3HRTIOaFIQhC4TH7EITpsnSzY9MmoEULT2VnPVKhBcgAgcyoieFEFSKNoCS6Y8aMQTsuXPDKlSvx\nwAMPAACmTp2Kzz//HAAwffp0lJSUoKioCAMHDkTjxo0xa9YsrFixApWVlbjssssAAMOHD8eLAaZP\naYPtANKP6ALWRJFMokvz+QZVftIRTqCpQb9+qW6BZ9QVTVf4itRtZPv4zjT4Ybrs2zvdvr3zOT4i\nI+ciLwJa+PIRhP0QIo1g7KNbWVmJnj17AgB69uyJyspKAMCOHTtw2GGH1Z5XXFyMdevWYfXq1WjQ\noEHt8a5du6JUFpoYQElJSe3fQw89pN2uTPDRpUgHohvOQ/4hIxdzUyRZQAoC4ZgPURdQVzZ0ko9g\nOjSI55UuYyDV9Scd3A1r37+PHVXn+jxECAd4yqMbDSC59aJFi1xdxxPdKGJpRXTj8eQvPkFpdEMf\n3TqIli0zfgVNF+EvaGT7/dVVhM81OyEM3uuT6XIIF0iF6XI9x0y7mYVQTguRRjBmqnl5eVi1ahUA\nYMWKFcjLywMAtG7dGt99913teaWlpejevTt69eqFffv21R5ft24diouLvbY7Ab3whe3/HFT7Xodf\nSAeNbsYiq24mRDJRV4huiOyFSR7dEP7CbTAq3XknGzW6aY8mTRKP+Uh0tcWVoiLfHlYoIoXIZMyf\nPx/dunVDly5dMHXq1ITfZ8+ejd69e6NXr1448cQTa/moCsZEt3fv3rj99tsBAHfccQeOPvpoAMB1\n112HxYsXY9++fViyZAn27t2LUaNGoVevXsjLy8OsWbMQi8Uwd+5cXHzxxabVGiM0XQ7edDn00RUj\nA5pYJ1FXhL9w/IUIkTmoK/NS2mHjRuDf/0483r+/+4BdkycD99/vqVleEY6jEJmK6upqjBkzBvPn\nz8eaNWswZ84crF271nbO4YcfjiVLlmDVqlW46667cNVVVzmWqzRd7tChA7Zu3YpYLIbc3Fz8/ve/\nx5w5c3DcccchPz8fDRs2xGeffQYAGDZsGAYNGoSmTZsiGo1i4sSJtabNM2fOxBVXXIHRo0fjyCOP\nxPjx4932gzbSjeiywmc6mC6Hk2GIuoa6IlBm+/2FUKOujPNsQRDPKRwDGujQQXz8mGOAnTvdlXnm\nmeQvC2G0gVpQEFg7QmQvli1bhs6dO6Njx44ASPDiN954A927d689Z8CAAbXf+/fvj61btzqWqyS6\nbI5cFrt37xYeX7BggfD4yJEjMXLkSMfGuIN4Jj8C63AIfgyoTnfIlqjLoY+uGqFwkZ4In0uITIZp\nHt0QPiOgjs3mYFQhko+Ui0iffw4cdhgwP8XtCJFWWLRokWMMpm3bttky/bRt2xZLly6Vnv/MM8/g\nTI2NJU/BqNIZV+LpVDfBBnbBSRbRBUKNbogQFHVF+Eu5oBMiMITPNoVw2fl+pBcKESJj0KdPqlsQ\nIg1Bs+lQ3H333QnnRAzm2Pfffx+zZs3Chx9+6HhuxhPdTFoQsiXqMlt+0pFiSU+n+lAYTU/UFaIb\nom4jHOfBIBYNVlwKNbohQoSoy2jTpg22bNlS+/+WLVvQtm3bhPNWrVqFK6+8EvPnz0fTpk0dy/U/\nP1CSkUlElyIdTJczdgFMMYvM2H4LUWeEv2y/vxBqhM8/GARFdMP0QiHSEeEYCpFs9O3bF9988w02\nbtyIiooKzJ07F2eddZbtnM2bN+O8887DCy+8gM6dO2uVG2p0k4RIJDU+um5+81JuoFi2jORzDRHC\nBeoK0Q2RnQjHbWoRj+a4u86F6bJXhHNdiBAhMg25ubmYPn06hgwZgurqalx++eXo3r07nnjiCQDA\n6NGjMWnSJPz000+45pprAJCUt8uWLVOXG3jLQyQgNF12ieOOS3KF7hCaLqcn6orQF46/7EX4bFOH\noDW6dWV+ClE3EM5VIdxg6NChGDp0qO3Y6NGja78//fTTePppsxhMGU90M0WjyyIdTJfdllddDVRW\n+lNeJkKnL0OBJT1RVwTKbL+/uoZ43PrTPZ/9DOEPYjmZQ3TDMRAiRIgQBKGPboDgc+emU3ohNwvg\n448DeXnAiSd6b1umIhQcMheh8BciE3HjjUBODrB4sd754fgOBnGXGt1UzDvhGAgRIkQIgpDoBgiZ\n9i9TTJfvuAN4803r/5Ur/WlXtiM02UlPhEQ3RCbif/9LdQtCAEAs4s5H1wlBzkvhXJda1OX+r8v3\nHiK9EBLdABGV9G46a3R//BGYO5d8nzoVmDXL+o1vdziRucdbbwGbN6e6FXULdYXohhst2QsT14ls\nH+fJRkVh40DKFT2vL9EDe9Eo4RwvZXrFgw+GYypEiBCZh4wnugUoT3UTpGCFklREXebbwEK2YL38\nMjB8ODFTBoD8fOu3ZLY7XeGVRGzaBPzqV8CwYUCHDkB5+g7flOCDD4CDB4Mpu64IaXXlPkOIET7/\nYLCvcRs0wl7fyxWR0ovxIlphh+cy/cTNN5vLAHV9LNblTce6fO8h0gsZT3QvxzOpboIU/Iue7J12\nqtE1QUEB+Vy4MPG3kOh6e3YTJgAdOwLvv28deyZ9h29KMGgQ8M47wZQdarpChAjhBb8wWlZd6KYX\nYlGJfJShqPZ/03Xc77kunDvdIeyvECFSj4wnuvmoSHUTpJAtTsk2XfYLIdF1j2++ASZPTjxeXZ38\ntqQ78vKCKbeuCGvhTnqIEJmHoPLe+wG69pu2I5yLQoQIkWpkPNFNZ7A+uuwC4ZYw5ucDL72kf76K\n6DotWCJSEProul+4ZSmZ6BjZtAlYtcpd2SH0UFeIbiru76uvgF27kl9vXQD7PNPFR/eHH4AlS4Ir\nvy4hE9IL0bU/W02Xg2pnSPRDhEg9Mp7oFqIs1U2QQkeje+21wM6dRLP35ptW8KjRo4GTT7b+X7qU\nkKURI4DzziOkiP721FNWefE4cOCA9V0G2W+0zaIFLZM0utu2+ZtD2AQmwb8iEWIm3rEjcNFFgTbL\nFQYOBP7yl1S3wh/UFaKbCnTvDlx4IflO57FHH01tm+oqkjG+H3sMGDw4+HqyAW5Ml3m4NV32C241\nuiFChAiRamQ80f0TJqW6CVLIglHRz6oqYMYMYORIIDcXOPts6/wnnwQWLbL+Z7V969cDzz9v/X/V\nVdb3GTOA+vWtetwSPdGC5ifR/f3vgw3EdMUVwZTrdqGXXffRR8D//R/5/vXX7soOEh9+CLzxRnLr\nDGpzIiS6wYLOV3Qeu+GGlDUl4/Hxx8BDD5Hv6agVygkm006dRCakF0pFIM1kIh3fsXRD2EchMhUZ\nT3RTiYoa9+CdO4GnnyZ/LPiJgWpaR44kn1QD8vPP+nU2bAgcdZR8wdm50/quIrrjxhFz2W3bgO+/\nB/btA/bvJ+QbEO/g+rHIvfQS8O23wN/+RuoFSJqdnBzgjDP881nNFDIzezawbBn5nq1CRLogU8YE\nxSuvAI88Eky7q6qCGW/8HBjCDHRNuftu4Kab3JWRjA0dOnbK0tegKmMQpOmyXwg1ut4xezaRuVSo\nrpa7ObGIx4FffiF/+/aRDfNPP7V+r6qyZy9Yvx4oLAR273bXdifs3x/GGwmRvnBNdHNzc1FYWIii\noiI0aNAAALB+/XoUFxcjPz8fxcXF2MS81UOGDEF+fj4KCgpw3333eW95CnHCCUR7QSMUX301cOWV\n5A8A2rYlx1q0sF+3dav9/3/+k3xScqmDaJT86QipKqK7fz/QqRPQrx/QqhXQvDnQoIGlHRZNtn74\n6I4YAUyfTr7Ttt1/Pyn7nXfsRD0d4aeGPFOQyW1nkWka3QsuAG680dog8xMtWxK3Cb9B50CKTOnr\ndEB5ubWmyGDioxskNm4kny+8YB2rqrKIeghzZKOPbgiCigqi4PjjH4G1a4EePYDt2xPlrAsuILFY\n7rwzsYxVq4CLLybzxJNPAo0akb+GDYETTwT69rXOveYaoH9/6/9duwjxPffcYO6vQQOgW7dgyg4R\nwitcE91IJILVq1fjwIED2LdvHwBgxIgR6N+/PyoqKtCvXz9cVON0OG/ePCxZsgR79uzBwoULMWHC\nBFSZsLs0wiefAP/7H/DZZ9YxfvLfsoWYEOfm2o/LdrxSQXQB4McfiUb3rbcSJymRwOL3oknbxu48\nprP5Vqa3wQ9Q7XOQCE2X7Qhip7y01K4BCAqhYKwPHU1OumDLFuDooy3CCwB9+pBN07IyormKRMg6\nKMOSJeScNm2yOxCfHz66ftdpilCj6w1ffQUUFQHz5gFHHgmsWUPGfWEhcM89JAYLAMyfTz7vvz+x\njOnTgTlzCEmm7k4yfPSR/Z2KRMj7uXYtIclBoFMn+/+hqXOIdIEn0+UYJ8WsXLkSDzzwAABg6tSp\n+PzzzwEA06dPR0lJCYqKijBw4EA0btwYzz33nJeqU4LycuC448h3N8EhZEIfNeHVQTRKzHx1yLET\n0aURf1u2TDxPJFwHJbSy0an9qsNvk2tRuXUNmzfbd4kzDZlKdE3Hr+7clIx+CImuPvwiQskY57t2\nAZ07W3V8/z3RUB1+uBVcD1BbDVCSvH078Pe/B9fWdEcmzEuZ0MZ0xrZtJLBjWRlRLFDMnAmMHw8c\nfzxw8832a/h5/LPPiOvX9u3mJsjV1UC9esDrr5NAp598Yv22f79ZWTLk59v/D8dKiHSBJ6Lbu3dv\n1K9fH5deeikAoLKyEj179gQA9OzZE5U1W9Q7duzAYYcdVntdcXEx1q1bJyyzpKSk9u8hGo0jTXDI\nId6ul734P/ygXwbV6OpqgXWIrkhDLCrfb6GVto1tYxCCcToI25k86dO2Z7oPTrK0EvE48a31C6b9\nnk5jLR3evUyBjEyYat6T8fx37QIOPZQ833icaKT69iWBEIcNs84bOtTerjPOsMwyazyeAJhZNWUb\nsjm9UKYg6Hdmxw5i7RCJACUl1vEjjrC+P/ig/PqKCqKN/fWv7Vk2dBGLEQXJCScQzfBppxFXuv/+\nl7yH1dXEjzdEiGyEa6K7fPlyHDhwAJ988glefvllTKeOl7TgqLroiISBLVq0qPZv7NixbptnjIUL\niVnIm2/KJ70aC+0E6OzERyL+LBKRiJrosnXqanRzchKFaR2i63VxMEnDw+PEE4nv4oABzhpxPxdn\nE00+/yxC6EGnj7dvN8/bGuQzqKoC/vUv8n3/fuJb61d9QW0wJMO0LJmbF4AZbwAAIABJREFUI9u3\ni48vWgR8803y2uEWtK9U80aQz2zDBhIN3wnxOHF7ad6cfO/YETjnHHt6NDYqc0UFic1w5pkkmvSM\nGeQ+/vhH65x69Xy7DRvuvdeuvUoF6DOcP9/yt6+uBt5+2/57GIwq+8BaPLRqRb6zorFO9PJYjASn\nO+IIQkrdRDyvrrbqve464uvbrh1w0knk2IMPEguNP/4R2LPHvHwgcW4KTZdDpAtcE90+ffoAALp3\n747jjz8eCxYsQF5eHlbVOAasWLECeXl5AIDWrVvju+++q722tLQU3ZLoua4zOZ96Knn5zz4b+Omn\nxN95UxE3L7Efi4RMo1taCnzxhZ2MeyG6QZou8/3A1qVbx0cfEVPajz+2FhBZHcnWRIqeczYICCNG\nBFu+SOB74w1ibsVi8WLi38QHe3NTvl/4z3/Ibjtbvl8RaYPSomST6fLatWRMiHDyyUDXrslphxeI\ntGZu+s/tc/3f/0g0/OpqUi8fPJFizx7ib1hYSM6jOeD/8AfrnKZNrbZs20ZMLo89lszb334LXHaZ\nPZ0eG0jHT4wbZ6VpUuGxx4jPcNDYu5d8fvwx8JvfBF9fqNENFmPH2se9DFSjC9iJqg5pLS0lGzbU\nt9YN0aUaXQo2x3kkYgUB/etfCalWQaZkCYltiHSFK6L7448/YnvN9vkPP/yATz/9FAMGDEDv3r1x\n++23AwDuuOMOHH300QCA6667DosXL8a+ffuwZMkS7N27F6NGjfLnDmpQD2WYAPKG7gNJJBtBHM88\nQwjdvfcSp/8nniCC8iOPAB98IC6LDZL05ZdkYe/QQV637AXnj7OLBBvMygTUR5cnb4ccAvTqZY+C\nqUt0RabLQRJdfnfYhOiOHUsEJsAevEW1oKfKRzfbNLo0YEZQEBHRc85JjBTJbjqZkEldoltVRd6b\nzp2BO+4AXn7ZmeSzZVJBQGYBYgrVRs3atf7lOf7ss+A0QUHDrRYinSDS6HrZpDN9lnQ+Xb2arDHt\n2onP27WLaHPpulFRQaL3s2sNK1THYsR3d8oUEojnkEOAWbPsppp+bUb++GMiKeODQoowZgwwYYI/\nbVBh8+bEjfR01+iuX2+12a2/OP3u15yYLnj4YeDZZ+W/03dixw4SCwUwJ7qxGNnUpZtBXjW6gPX9\n1FOJC4JJTJPRo72Nr9JS99eGCOEGrojumjVr0KlTJxQWFqJ9+/YYMGAA7rzzTsyZMwdLly5Ffn4+\nli9fjrlz5wIAhg0bhkGDBqFp06Y47bTTMHHiREfTZlOUox4mY0LN9wI0AZmZH36Y/D5uHHH6v/pq\n4iNx443A6aery/zzn4GePcnuND9Bu9m9YicQt/4QTj66PPlTtZNOmCLivGJF4vl+E103GoxFi6xN\ngl9+sY5Ho+ReIxHg88/TQ6ObbUSXIqh70TWPY1NQFRWRZ041JSroCpSUPNevTzbDLryQaKR0Qceb\niIR/+y1wySX6ZQHqd+Kaa8hmgBuwc8PkyWQDafFid2XJkCyimw3Bcui4YfvMzdzltg9opP0aYy0h\nJk0iJpTr11tEV5QWia4tNAij03L/7rtAkyZ67fz0U6BZM3I+/9e8OWlLkyZWm55/nlhr/etf5Dhd\nJ5I9NgESdKhZMxKYCCCEn2q2WTNXv+r0433o3NnyJXXqs59/Bl59VdyeaJSkwmnbNv3iPajkpMmT\niW85HTd/+hNw6aVAly7WOewY5JUNANmMpGFq3Jgui0iqCXiNLkDeiwkTEp+p0zOeNct6x5o0sQLP\n6crEhxxCok6HCJEsuGKbJ510EsrKylBWVoaDBw/inXfeAQB06tQJu3fvRkVFBUpLS9GBUYMuWLAA\nlZWVKC8vx7hx4/xpvQS5qMJekFXz4EHgvvvITmo8biXS/uorsckrC5bcvv460e5QuFlAeJ9dN3Dy\n0WUnKac2qkyXRWWYTogy8AIdW7dTm1eutL7LtHk8KUm2j65IyEg3k6+pU4lPuhsEdS865nH79xNy\nx+Pnn53L1xX+aP0XXODuXum7KXqn3n0XePFFs/JUQqGofaNGid0veLD9QLVZfudBTZZAK5pLMg2i\n8c/fT5B5dMvLyUYwC94cfMMGktrkgw8sslhRkRhxlRWqeW2SCEuW6G1WAWSj69hjSdRm/u/AAaJx\n3riRfMZiRNv/1FMkAA/rq82/O8kwvTzrLDKHnXce+f/yy4kswmL8ePKpo4kW4eefiQY9CDiNrSef\nBM4/3/qf9inb19u2AYwnW0rhFOdh2zYyN9aIuADIZs/f/042LQHiMkbH31VXie/trrvEGTt0iC7/\n/vih0QUIWe/WjTwbk4CgCxaQAKr0nunGjMnctGmTbstDhPAOf9WqKUA57CtsD6xGP1jJPsvLgbw8\nywwrJ4fsRuXny4Ui0Yt+9tn2xdyEUKrKNYVTeiGeNKomH/qbKi/v//5nfefPcZv3kdXcVVXZd7Av\nvpgsLGvX2q9Ztgw46ij7sVNPFZfPT+ipEn5TQXR/+IHsKG/erD7vjjssawdTBNWfMiLKBGyv3Xzi\nzcV0023pgJaVm+vuXuk1omvdBN0xJbpA+pjyJmvc02eWydF7RRpdL/cjG++y8VRRQfxuqYYGSAzw\nVVlJhOMTTxRrdGmdvOmyk3BussFCU6WINLqFhfb/IxGgcWNinZGXR7SpbDlu8PPPhIzefDP5M7GC\nKCoif82bJ/7WsSNwyy3A7Nnk/6oqy2/YZPOCJRF+Wzg4lcc/Rz8j9u/Zo58Kp7LSbvlD8cEH9k1R\nGudBdl80C2Zxsbwudrw1a2YFHAMsGat+ffG1uhpdU3NnpzIo6DtsYgHXsKH9nqlcrEN0adlnnkne\n1UjEvRtfiBC6cLlnmD54ElfhG1g2JGvQw/Z7ebn4Bc/JkQthsuNsOW7MUtly3e4eO5ku8wRcpx6V\nRnfHDhK44KefSMAdFuecQ3aoTcEKdA8+CLz/PjGP+vZbMul99hkxF2L71SR/K/9s/RC2Z84kyd5p\nZF0ZIhGgxmIf+fnETOvkk80jBOtg8WKiIZw8mTyH77+3RxgtK7OI1XvvkUW7WzeLBC1dSoLCdOpE\nfFAPP5z0+dSpJLrj6tXiequqEjU4fkBmuiwaw3z9OoKUrkaXbuCoNoBUoO+m6Fr6PA4/nFiWbNvm\n/I6q2iC7bx3ztmRosFhNK6uhevtt8lvPnnZi5RZeiO5jjxHBi91QSQWCNl2urLS/N3ffTUhRkyZk\nLD7+ONEwduhg5bgVlVETYxLRKPmfbr6y4Imu03g0eW7V1e6EfcDeDrfki5L83/+ezJElJaQvc3MJ\ngf3xR/J+L19OhPkFCxLLoH3IY9o0+/+DB5PP2bMJ2SoqIqTp4EGyJrdqRTThrVtbJJCdt0Vj4fPP\nSS5XupHXoAEpm1q9AaSe/fvVcUZEkG1Y+LEGt21LTL/fe8/53LvuIuvYSy+RaOBr1pCgZDQ1z803\nE0s/CtF4uuwyi+iq/ErZZ1m/PpnTKWh/yp63G9NlvzS6gHiNc3Ih4i0NZPcmAi37tNOI7AKkz6Zs\niOxFxhPdCOKIKRTTFRViEyAVudMhum6IlJfJnk46TkTXRKNLodIQA8Qc6dhjgVNOIWmYKJYudReg\niDXRo4vCJZeQRYXuRg8aZF4uxT/+oTZRc4OxY8mmiQ5YberWrcTMKQjcey8Rok46yZ6EnuLgQYtY\nTZ5MtAPjxpFj//wnify5ezdJe5GbS/yfWRMtio8+so+joDS6MtNldoGm7wFPdE00ujrBqAD1HKEC\nq9F98kkSyZYGvqMapdJSolngCaCqPBFkYztIE1cT0LZTIfyKK4Cnn7YiVPfsSUz/vMIt0V25kgQi\nuvNOYuXQqBHpl9dfJ20MYkNHBpGAyT77Vq3IppQI06YR4Z2/HiDmxocfbo9pAJC1sUcPMkfNm0eO\n3XADcNtt1jm8EMuaKUejZDNN1EemRNdUo+s2xIcf89jBg+SdHjCAzJ9FRWQde/JJQji7diWawm++\nIUT1iCOIRRKgJj4TJ5I/GWju4pwcy0S7aVPy/PbsIb8B1karDFOnkg3b3/6WjKkvvyTPqH17opmP\nxQgxbNmSEHUWupuEPJz6etgwsuazY4/H/v36sU02bCCfb7xBns0tt9h/nzbNvqkgGk/PPUfeqaFD\nCTHj0bUr8PXX9mdZVGTX6FLI5pFkEV3ZOyjS6DrJS/zYpf/ranQLCojc0qABeaZuN61ChNBFxhPd\nKGKIQ/6GyTS60ag50WUnCje77l40unQicvLR5SN36tSjKg8A7r/fEkz90AKxAh1tL08q2rZ1Xz6f\nM9MPYtapE+knmZaTRbIC4nzzDfH1GjJE/PvBg9b3I44gmwlXXWUdo0GMHnuMCPu6YPtz9Gige3ci\n9Jlo3UWQEVGRFoZ/p50Izv791gZEsjS61dVkA+LDD63folGyYXTzzeSd0iG6qjbIfnM75v02/aXt\nO3CACP+PPEKILoVfmyb0mZm2n27s3HefXcMDECuO0aO9t00XMo1uy5bEskaFm24iwWXYGAYUP/xg\nLx8ggvuUKdb/bdsSMtCrl/W+NWwI1CROqAWv0T14MDEQFWAPRqVDTE2Iro4ptG45LHTXtmnTyHwH\nkI2r6dNJWU8+SbSAbL9SXHGFpZ2V1XXkkep6H31UbUJLsX69FadCNNfl5ZE2X3qpc1kA2SCh6Whk\n8w3VmD7/vPh3p/f8rbeALVvURBfQX1vXriXv7y236MWiYMfTunUkWGmjRkQzTK0bWrSw3iUA+Pe/\niVzAE13WvJo+Zy8aXb98dFWmyyaZL/j1SkbiRWOcbQeb9SNEiCCR8UQ3grgrokvNW6dPB373O/tv\nsklZptHVFda8ECBan66PLt2l09Xoqvxt/TZxZNtIv/MbD35qDf3Q6FZV6ftXJoPo/vwz8UH6xz+A\n//6X7My//749UBMbrOvAAbIIi3DVVSQS4u7dxOzuww+JpkAWaXjPHiLc7txp5fZr2FAvIJQKOqbL\nLAll4TReLr7YiiSuS3RNNLoiTVEslqgR4YX0qioxUWDhRqOrQ/hE7/Wvf23vn4oKIqS5nQNo+8rK\nyPjj3yGncisrSX/pmr6q7ruqirSHFczefZeY6z7zTOL5fuVB1oXMR1dXsOX7kt3oomVRqDZXWL9C\n3oqFNX+OREgdOhpdp3swiffgRaPLl8NCd4zz7zRA2rNwoTNZVdXhNA/I/DxNobO5xkLmssXilVcs\ns2ARkh2M8ZtviFzXpw9JD9eyJVmfdu0iBJhHeTl5P+Jx8hzfeYfMe0VF1v3zfdawIfnkTZdFfsRe\nNbomPrqiZ+Sk0WXnBrcaXVU7qB+/jnVHiBB+I+uJrmxSp8Tq+uvJH4v/b+/Mw6Oqrz7+vZNZsi9C\nEpYAARKC7JAgvBbBgIggizyIBQEpTVC0vCy2vNaXV3xdQWlreZXHUm0h0haU1pZ9U8IuDUvYVyFA\nwLCEkJCVSWbu+8fxl3vnzp0tJCFkzud57jOZmTv33vzWc37n/M559VXaaxMa6vi5nqLriwDYsaNz\nhEVvEZOyJNGAsWuX+/O7dXMW6lxhsTi7tanxVnFLSVH2iEoSrQLn5VH+YjVihXXzZuDTT+lvbXAw\n8feuXeRuey/076+synbvTlaPadOUe1+8SCuzdjvt0wsPd/y9sJI8+yxw9KjjdyKYhZofU0nXCNGe\nmjVT3NRWrqRUBkLITEykiTwujr5//HH6TXa247WGDlUUi4sXKU2OHiYT7WNSk5PjWtFt25ZcIdPS\nSEHOz6f207s39RmbjVbny8ro2urj8mVy4+3e3fm6ok+NGUP738T+KHUf69uXXrWTpSfFrqiIrA0z\nZtD711+nNBjBwRSornNn4Ouv6b1QELQW/N69yfIgXATViD7Svr0y3oigOQD1/eeeo+cXqbDEOQC5\nH6rzlqr3iz77LLnIAc7lpmfBAxzL47HHqK136ULu66IMDhzQTyWTkEALgHfvkmXj4Ycp//jx4+T2\n2LUrjS+nT1P7cxctt1cvaqcVFSQYasfLkyf1n2HiRLp3QgLVydy55Frfpg3tR583D1izhtK03LxJ\nVhiArOWuBK/HH6fymjCBLGzl5eRS+umn+oru7Nk0hgUG0nMHBNTdvubQUCXljFrQbN3a+2uINigs\ndcLqKGjaVPnbXcYB8T8mJ9Ne6tatlf6bm6tEBRauy2oFTQRPEn1gyxb9PaqCJk3Ijd/bIEPAve3R\n1V5HzbZt7lMrCU8hrVwgGDjQ8z27daNXdTuyWKivJSS4/60nRVigvvbKldTfTSa6h9lM/dmX8lOP\ntdr99Js3k0eRNrhWp050LyHvREU5fj90KFnGX3lFGSOPHKG5LSyM6ubcOQokpubSJYoELrZwiUUw\n7d9GI40bffo4ehotW6YousuWUYR6gCzAYtwQaa4MBvpMtGXtnCMWHtTyZVgYzRGiHYnxWW9xBHBe\nfDaZlAW2tDR67djR8RxPC3DPPKMsHInnuH1bGV/UCEVX3Wa0dXnxIrUjEQBSW5eiHEwmmkd37aJt\nUWp54+WXKS1RbfVdhvGFRqHoutujC/gejGrVKnrVutHo7RUEgKlTacCMjXXvWrRyJQlWI0a4Fphm\nzSIXIC1qRffVV0lZ1EYmVjNvHrmrCuEmN5eUkeho54EsIoKuZbfTIO8p7ZIrtm4l5UakpHjnHXL1\n0Sq6AvVeounTSYgWiP83PV0R8mtCUREJsiI11C9/SYLgH/6gKLrnziltITZW+Vwg3Pfef58EbpOJ\n6l+WlT1zt26RwF1YSIquOhJnXBwN/m3b0n7Yp57y/NyzZpEAMW0aTe6JiY7prvr2dfZEeO45Epbu\n3KHJRy0YSRJNQt7Sti2VXVkZtWn1gsnLL9NiwNy5tPrdrx9N6JWVZBUODaUyatKEnqOyUjmmTqWy\n0CpsJ0447jPeskUJfqbuKyKSpq97dMV+ZUmievvuOyrbRx+lYGEFBdQG+/en83v2dBw39u+ndnPl\nir6iK/jd70gZGzrUcVIfP54s5b17O1t0AWeF9ZtvSDgqLqY6EG1QKP+CzZv192ery2P3brL2d+lC\ngme7dmR9UVtK33uPrDIA5Rd/6y0Swt58k5TRbt1obHjjDSqDl14iYXbiRFroUDNhAimIVitF7RX1\nJ8ads2dJsRH7s7RW3h07qO5btiTBeuZMcq/v35+uN3YsXbtHD3ruL74gRXf5cvof1VRWAo88Qn/f\nuEGLQStW0HObzZQrPSGBykVEEy0upt+JiMIVFXTfqKi627OrdmutqUeIqPODB+n/TE+n93r7Bt96\ny/V1RJtYs4bmhbAwKu/KSmrTwmopXJf1yuSZZ2i8bNECmDNHCTyj5fp1mifcPY+WunBdjoujcd/d\nlpn8fHL51rpz+4KYh0SfWLKEFvW0SuzMmY5R8SsqvF9kEecNHkwLs489Rgt7gYHUZ1q0qLlFd+pU\nR8ttbi69fvYZ9bOwMCXtDkB9Tm9rzfnztJj6xBM0j5SVKYukt27R2BcS4rioYLcrrvPCG8xud/7b\nblesrVomT6Yxv2lTcjsfPZrkn+3b6Rk6daK5QOT8FQtc2nIAqAy1MWD69SMlT9SneB7tfLd2LcmM\n0dE0tmRn05wfH08LVG+/TfPI6dOUzktthe7Th8p71Cgan65eJXlg1SpaWDQYaP6eMYNc6QXqhVSB\nUHTVCwpCThDjyfnz1H4AmiO18uPmzTQGHz5Mc0V+vnOsD7G3mhVd5n7wwCu6wYF2yBXuZwBXiq6v\n7rF6AipAAtmjj3r+vcVCA5mrQRigKMTuFF2AJoBWrdwrusnJjivEnva8dujg/nvtM86e7fy5CDfv\nLeryDApyLNPacl0OD3fMBamn7Kn3hyUkuF7VDwx0TBKv5qGHlEBD7do5KrqtWikr4Z5W7QU9etAR\nFaU8n3iNiHBM+yQwGMiqXluEhztbtwGKzgrQ3m2ByBHoiSFDyINi/35SGIUytHOnkvuxfXuaGEU+\nxqAgag9aK4gaT+1Fq+jabFRWyckkPFVUkIChrnv1wlZKCinunixPjz5KgkCrVo5uWsnJpGxqJ3q9\n57ZYlLLQLjpp22Z+vr7FTKv4C+XJaiVvAW199eihKLqLFzsL1QsXOr6fN0855+xZRwX8qaeUVX+9\nRQFXfUhw5w61rQMHSBEYPlzJO6qH8CJJSXG2fqiZNYv63xtv0KEmKUn5W8/FX5varLYJDFQsStoF\nWHf/uxphxenVy1H4btrUOd2Yq20MgOPeOXeLY3oW3SNHyCMjLU2Zc9q0cX2NgADfrNZA3bgu22yk\nwGrzBqsRgRO9tayqEfWh7Vdms/711G7KMTG+3VPcw2JRAo6JfmE201jni7KhPledngmgNvfii6R0\nCdRjlLtsA5WVNKZ6Gg9qE0lylHWELNaunaIIaturqDs9RVfbDk0m72JVDB+uLBA2b65s+6mqUha9\nQkNpHFV7YgAkY4lFLID6md7iWPv27j0UAMcUYQIx/uhtJ9Brh82b05wiPKHcbUNg12XmfvDAK7ot\nm8uQc9wruq5cl33dN6IWDrxZgU5JUayRQnA1GMgioie8iIAPemzf7vje04qs1r3EF5Yvd7YW1gUi\nEq1ALXhUVdFxL9ZcgdrioOfWqB6Y3YXK91Y40F5DPQn5upppNivPV9O8xQ2JGTOo75w+TQKY2Uyv\nS5bQBG4wkCI/dy5ZJIxGsghp27t2wv33v0noFm7B2lexr1gousIyIFJsHDrkvAdOz1XtX/8i66Fo\nnzYbvYpFJzFGiIU0cQ1h2dbbo6vFF/dYVwt233zjmCLmu+9IqNyyRRmL1IjnHDnSu/urz9Fzv7sX\nevcma2CTJkoQPHekpdH46EpgPnyYrCzCTbEhYjIpVlftvORteboax/R+rx2H1GOUt+1Pz6LbrZtz\nMEBPgq2v7aUuXJfVQbZcERnp24Kwmr599fPtelPWvlhf1deUJGWPvcBspnHSl2uq609rvVdH4Xb3\nLHqIrS33E2+DdapftZ/XBkYjzQXqdihclOvSAirkYPVivxh/fAnsZzAoyrI7OUXdd+sjvR3DAI1A\n0fW0R3fYMP39gDWx6P7sZ+R2bDTS4cl6uXw5BeuxWJSJxdUg0KKFEvl21y5SBBYtUvYIhoXRCp8I\nie9uojp82L0LtSy7V/InTqwfRVcgVsrVq4o2270HgxGCrXoy1Zuc1HXiblLxVjjQnifKev9+suye\nOEH/85NP0mr94MGUJ1EPk0l5PjEZ3Y8JYts22oOmt5fRF4RFYNAg1xE2jUYlcul33+m31d69yT24\npIT6y7p15A4mgrBpX1u3plVntaJrNjuWpdbrQdsWJkwgq2xWljIGBAQo+TPbtHFWdMX1g4MV109P\nuTx9cV11NY7t3UuHoLycLLZr1wK/+pXz+T/5CVnQvYlQqkW7QJCa6vs11AQFObrceSIigtxsXdG9\nu/4c0JAwmxVvgdpWdD0Fi9Liq6LrKRKwp3HTV2WnLlyXvVF0Q0KUveC+YjAo2yIAR2VUj5osPGi5\ndIncg7ULvb4quuqy1i4welNurigtrZl1vDEi5nl1ee7bR6/1oeiqPZXEfKInq7pqi8K7w9Xv1Ndm\n12WmvnngFV142KO7fr3+5zWx6BqN7vfn6d1DKwS6Uo7Ve6j69aND7Z6ixd1g0ayZd8/mDhFkCHB0\n6wN8X2H2hAjUoB4g70XRbdmSrOYCTxOxt6ktamrRFe1MuBV36kSHWphxp+iK57ufFt3U1NqNJu1O\neFO3L1d76Y1GygVZE2TZ2dIBOLtpa+t70iT3C0BqV24xvohnN5vpntqJ/l7T+RiN5BkxdaoioMyZ\nA3z4ofO5t2+TRVpP8enf31EQ9wWtRVcvQBvjHpOpdhVddf/SG7e0Y3hKinKeNylsxD1cpRdS42nc\nrIlFt7Zdl6uqan9e8wa9cbBzZ+qLIt3V2LG+XVPUhwicqC4rk8l312X177Uu/HrjqPZ7V4h9uQ8K\ndZlNQSi6euVZE8UwOdlx378rRPtTL2C7c112RVCQEpRw/nzyoFIjyk7tujx3LsUzcZUbnGFqiwde\n0TXIdrRuIwGXfPudNxZdT6uuNSEyUun03boBx47R374qde4mZVcR/nzB1d6aDRtoL6M2UrU3uJoo\n9J73XhRdreDlKYCMtwO6t4KQK0W3Jqhdl33JNdnQcedar7XA12aqKdGX1WlSXHEvwrQYX0TdiXr0\nZo+uL/TqRdEwrVa6rrv9rOromLVJXQVo8idMJkU41I6T3pavehzzZBHUCs8DBiiLLm++6Z1Hj7Di\n3Gs/8rX93C/X5bpAWzfqequpYrVwIQWLE0HY1FHRTSZa8KqJRTcwkLY2qPE0jjZtSkESv/rK+buy\nsoYzdtyPRQ41JhMFZtMLeFeTti7iFtQEd4quK1k4LIyCeAHAP//p+trqvvtf/+U5bzLD1AYNTtFN\nzfDN721aiRkVHTcDl/R93VxdT5YBO7bCXRF8uNAGIAAhrc8iNeMlp++NIatRVRqOv174CNsz3PjO\nueCHgPdgMKWg7ZjPIRnsSM34h9e/PV/6IoDxut+NWPUEDMZa1A60rAYsTVbg7i1H07FS1pkAlOTq\nEQknfvxcAuCcaPCplakU3TBoLWzltMS7fTvQdeBJ3fM9URiShdQMJcdP4ZmuAP4PAJC2cTwA8s+M\nSDwOQEZlcRQA8lvdeOkfSM34RHNF+n9GfPkUAiyaxJI6XL0+CsCs6ve5hh1IzfhfD7/KdHj333te\nwYJrp3A2dzZWvdYTM98vgO1uEIAOyLHtQmrGPI/P0VDp+5tYrI3Mx/oMvTaaiTO2TUjNoBDcJblt\ncejQnx3OkIxWpGbohPL0gu+LFuPx0YEovx6HKetfQOC/r0OUveNYkYmF2b8GsEDnO88cvfUBRkyK\nRvm11gACkLbheZw8+Te8MMWK6N6ZOL17HYCP0WPQWQRYylFVFgqAlraN0ReQmpGmuaLeM/6IBEAs\n7hQDH2foPxMJzpn44vjn2JHhwoWgxtDz9fnweaRm5NXytRs/l8uLtdUiAAANh0lEQVQ+RfHNRAAB\n6PzYOZRcVjYcr8/5O1IzFnu8hjXsDzDbopGaMQZ3C5oCoPQBPwTsBeAYLXHwXwZCMnjQpHLcf31z\nf3/cKpiH7Fv7kJrxPy7Pu/zDeAAvuuxDBceTAfwGABCZ5CJfloq7t5uiac/vcMqLMhHkl+Ujrzjv\nx2egtpo85DQCLOWAJMNa2R1PrXgSkqF+Er7m5o4F8Ao+zH4Nf7Jl1ck9DKbNsFea8adjn2Dzj7LF\nmQvrYKsIwS+//U9EXD7u4QrE5WPjALwEY6yQgzIRFHMV5Tda4r3f3ULLwV9jd8bfXP6+KjUI+MrZ\n/WbZcivajV2CTRlf1+TfqzV6v9cGz29xbSmxFkUB+Bq3g7MAPFL9ua9zgjuqykIArMPp00D6hokA\n/lJ9j2vfDwHw61q9nyPUHwzmCtitgZjz9lXM/fgmyq+3BBCNkS/kAKB8d1+e/Cv2Z3zudIU7F5Jw\nOXcxAH2tfNcukgNlewCqKkKRmkEraV1iuuDjoW6C0zBMLSDJcl06ZPiGJEnYdmGbT7+xPvYpCv6j\nF57/+691v992IVP3cwC4diUQRQUmWAJtsFoNKC8NgDnQDkkC7DYJRqMdVqsBiZ1LYAl0ngALbppR\neMuE1u3LYDT5Xox3KwyotEoIDfddKa2qlHDuZChsVRKCQ2woLjIiPLIKkiQjvkOZ5wvcIwX5JpQV\nG3Hrphm2SgPiO5TioWgyOV69GISrl4JgCbRBliWYzErZBRhl5F+zILrZXZSVBiCqibX6eW/8YEFB\nvhlNY+/i5jULKsoCUFZihCWIyic0vAoxLSpQcIOk+vxrFkQ8ZEVEVCXyb1hQcMOMsMgqdOpZhKBg\n5Z42G3D8YARku4QefQvxw+VA3LpugWSQIdslyACMRhm2Kgltk0oRGu7oT1pcZERebiA6dCmBN9jt\nQMkdI0qKjCguMiG+Q6lu+1FTVGCCzSbh1g0zigtN6PWT29WfXzofXL26b6s0oH2nYkRE3aPPawOl\nqMCEoBAbzBYqL7sdOHM0DHcKTTAYAEuQDS3blKNJTM3M29euWnDrugUmsx2JnUsgSUBuThBCw6oQ\n1VRZwr6ZZ0F087s4fjAc4ZFVaN3etz5185oZ168Gwm6XEB5RiTaJZThzLAxVVgkt48sR2aQSh/ZG\nwWKxwWaTYLdJKCs1okOXYgSHViEkzHFMuHoxCCazHTEtPC+0uOP86RDEtqio0ZjjjoHtSAhzN94y\nrvnhUiAKbpoR8VAl7hSaINuBSqsBkgFo17EE4ZGe+3tZSQDsdlTX7akjYYhqakVQkB0HdkchONSG\nFq3LUVUpof3DPiSudUGlVcK5E2GIaVGBprGu+2NVpYTb+WZEN9dvu2IuAwDrXe/cKNq0L0NkE+99\nK/dc3oON5zfi3dR3cSUnCFVVEooKTLDbJUAGgkJt6NjNTTL5WsZWJSHnbAjaP1xSZzEXbDaaI6Oa\nWmG20ASyfUM07hSY8PS4PAQYvZNZSu4E4PSRcHTtXQRLoB03r5kR1aQSJw+HIyjYhlbtyhAY5H5+\nu5lnwY08C6x3DbBWGNCsVQVK7hjRrmOJw1zdULmZZ0FQiA2Ft8jsbwm0u2zPNaGi3IBhnQdg8T8P\noGO3YuReCMZD0VaEhlfBbgdu3TAjulnduHQNbJeK8dMu4YUZF1FRFoBL54Or5d9KqwEmix2Vd2ks\nSuhU4iQfATRPf38iFJCA2zfNCA6lMchksaO8JACSATCa7LDZJEREVlbLfOGWcCS3SK6T/4tp2EiS\nhPpSPxucouvr4+yMnwQMfhIDPtf3tWo4/x3DMAzDMPXN6tOr8efDf8bqcavv96MwjC6Fhb6lZ2SY\nB5n6VHQf+IxWkmxHgFFZEu3ShRKOA5R0nXkw2K7Nn8T4FVz//gvXvX/D9e+/cN0r+KOSy/XP1Af1\nqui+++67sFgsMJvNGDp0aK1cU4IMg1GCLJP19tgxSmEiy8Dvf18rt2DqAR7w/Buuf/+F696/4fr3\nX7ju/Ruuf0bLpk2b0LFjRyQmJuKDDz7QPWfGjBlITExE9+7dkZ2d7fGa9aboWq1WvPXWW/j2229R\nWFiI7du3Y926dfd8XUmWATd5dBmGYRiGYRiGYZiGic1mw/Tp07Fp0yacPHkSK1aswKlTpxzO2bBh\nA77//nucO3cOf/zjH/Hyyy97vG69KbrLli1DREQE+vXrh+DgYAwYMACffKKNblsT5NrN/8MwDMMw\nDMMwDMPUC1lZWUhISEB8fDxMJhPGjRuH1asd4yqsWbMGkydPBgD06dMHhYWFuH79uvsLy/XEq6++\nKiclJVW/nzZtmty1a1eHcwDwwQcffPDBBx988MEHH3zw0UgPLatWrZLT09Or3y9fvlyePn26wznD\nhw+X9+zZU/1+0KBB8oEDB9zqn/WWR9fgKWs8UG8RuBiGYRiGYRiGYZj7j+Sld65WV/T0u3pzXU5K\nSkJ+fn71+wsXLqBly5b1dXuGYRiGYRiGYRimgdGyZUvk5uZWv8/NzUVcXJzbc65cueJRl6w3RXfi\nxIkoKirC7t27UVJSgp07d+IXv/hFfd2eYRiGYRiGYRiGaWCkpKTg3LlzuHjxIqxWK7788kuMHDnS\n4ZyRI0fiiy++AADs27cPkZGRiI2NdXvdenNdDgwMxLx58zBw4EDIsoyBAwdi+PDh9XV7hmEYhmEY\nhmEYpoFhNBrxySefYMiQIbDZbEhLS8PDDz+MJUuWAABeeuklDBs2DBs2bEBCQgJCQkKwdOlSj9eV\n5AayMXbTpk2YNWsWbDYb0tPT8dprr93vR2LqiJ///OdYv349YmJicOzYMQBAQUEBfvrTn+LSpUuI\nj4/HV199hUh/zKDeyMnNzcULL7yAGzduQJIkvPjii5gxYwbXv59QUVGBAQMG4O7du7BarRg1ahTm\nz5/P9e9H2Gw2pKSkIC4uDmvXruW69yPi4+MRHh6OgIAAmEwmZGVlcf37EYWFhUhPT8eJEycgSRKW\nLl2KxMRErv9GzpkzZzBu3Ljq9xcuXMA777yDiRMn1kvd15vrsju8yZ3ENB6mTJmCTZs2OXy2YMEC\nDB48GGfPnsWgQYOwYMGC+/R0TF1iMpnw0Ucf4cSJE9i3bx8WL16MU6dOcf37CYGBgcjMzMThw4dx\n9OhRZGZmYvfu3Vz/fsSiRYvQqVOn6gAiXPf+gyRJ2L59O7Kzs5GVlQWA69+fmDlzJoYNG4ZTp07h\n6NGj6NixI9e/H5CUlITs7GxkZ2fj4MGDCA4OxujRo+uv7r1ND1SX7N27Vx4yZEj1+/nz58vz58+/\nj0/E1DU5OTlyly5dqt8nJSXJ165dk2VZlvPy8hxSUTGNl1GjRslbt27l+vdDSktL5ZSUFPn48eNc\n/35Cbm6uPGjQIHnbtm3y8OHDZVnmsd+fiI+Pl/Pz8x0+4/r3DwoLC+W2bds6fc71719s3rxZ7tev\nnyzL9Vf3DcKie/XqVbRq1ar6fVxcHK5evXofn4ipb65fv169oTw2NtZzAmjmgefixYvIzs5Gnz59\nuP79CLvdjh49eiA2Nhapqano3Lkz17+fMHv2bCxcuNAh3SDXvf8gSRKeeOIJpKSk4LPPPgPA9e8v\n5OTkIDo6GlOmTEGvXr0wdepUlJaWcv37GStXrsT48eMB1F/fbxCKrre5kxj/QJIkbhONnJKSEowZ\nMwaLFi1CWFiYw3dc/40bg8GAw4cP48qVK9i5cycyMzMdvuf6b5ysW7cOMTEx6Nmzp1MeRAHXfeNm\nz549yM7OxsaNG7F48WLs2rXL4Xuu/8ZLVVUVDh06hFdeeQWHDh1CSEiIk6sq13/jxmq1Yu3atRg7\ndqzTd3VZ9w1C0fUmdxLTuImNjcW1a9cAAHl5eYiJibnPT8TUFZWVlRgzZgwmTZqEZ555BgDXvz8S\nERGBp59+GgcPHuT69wP27t2LNWvWoG3bthg/fjy2bduGSZMmcd37Ec2bNwcAREdHY/To0cjKyuL6\n9xPi4uIQFxeH3r17AwCeffZZHDp0CM2aNeP69xM2btyI5ORkREdHA6g/ua9BKLre5E5iGjcjR45E\nRkYGACAjI6NaAWIaF7IsIy0tDZ06dcKsWbOqP+f69w/y8/NRWFgIACgvL8fWrVvRs2dPrn8/4P33\n30dubi5ycnKwcuVKDBw4EMuXL+e69xPKyspQXFwMACgtLcWWLVvQtWtXrn8/oVmzZmjVqhXOnj0L\nAPjmm2/QuXNnjBgxguvfT1ixYkW12zJQf3Jfg0kvtHHjxur0QmlpaXj99dfv9yMxdcT48eOxY8cO\n5OfnIzY2Fm+//TZGjRqF5557DpcvX+YQ842Y3bt3o3///ujWrVu1m8r8+fPxyCOPcP37AceOHcPk\nyZNht9tht9sxadIkzJkzBwUFBVz/fsSOHTvw29/+FmvWrOG69xNycnIwevRoAOTGOmHCBLz++utc\n/37EkSNHkJ6eDqvVivbt22Pp0qWw2Wxc/35AaWkp2rRpg5ycnOrtavXV9xuMosswDMMwDMMwDMMw\ntUGDcF1mGIZhGIZhGIZhmNqCFV2GYRiGYRiGYRimUcGKLsMwDMMwDMMwDNOoYEWXYRiGYRiGYRiG\naVSwosswDMMwDMMwDMM0KljRZRiGYRiGYRiGYRoV/w8Hrcq4l7qiYQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1080abc10>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Time on Pitch histogram"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"timeOnPitch = []\n",
"pc_count = zeros(int(max(pitches))+ 1) #for the maximum frequency\n",
"trackedPitch = pitches#[:1024]\n",
"for freq in trackedPitch:\n",
" #print int(freq),\n",
" pc_count[freq] +=1"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"argmax(pc_count), max(pc_count) #Hz, time"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"(284, 1269.0)"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pc_count[284]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 14,
"text": [
"1269.0"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"minFreqTimeThreshold = 0.01 * max(pc_count) #Time - 5% of max time\n",
"peaks = argwhere(pc_count > minFreqTimeThreshold)\n",
"#peaks, pc_count[peaks], int(tonic)\n",
"peaks.T"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"array([[ 0, 141, 142, 143, 179, 190, 213, 214, 215, 216, 226,\n",
" 227, 238, 239, 268, 270, 272, 275, 277, 279, 280, 282,\n",
" 284, 286, 288, 317, 319, 321, 324, 352, 355, 358, 361,\n",
" 364, 367, 373, 376, 380, 383, 424, 428, 432, 436, 441,\n",
" 445, 479, 484, 490, 537, 544, 551, 565, 572, 580, 621,\n",
" 630, 1160, 1191, 2756, 2940, 3150]])"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"vlines(tonic, 0, max(pc_count), color='b', alpha = 0.5, lw= 3)#, linestyles = 'dashed')\n",
"hlines(minFreqTimeThreshold, 0, (int(max(pitches))+ 1), color='r')\n",
"bar(arange(int(max(pitches))+ 1), pc_count, 0.35)\n",
"xlim(100,800)\n",
"ylim(0,400)\n",
"stem(peaks, pc_count[peaks], linefmt='r--', markerfmt='r.')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"<Container object of 3 artists>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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rqqpK+/bt02uvvably5frjTfe0L59++yO17VMbZSpjU6HkfHMy9OTEp8Gp4AZ\n53a8ebCPOcv7tsrNlSnpXCq34UJmvJmMao0MYSazUNQo+hzvANxqzt9RnfMGM/Q7qjt2mJKkvj6T\n76imkGGEvwv8fyRtlsJXP/jH0jaT+bUsK3KuxpsH+0Tnd7r7qcx57Pa8YLp95vhGJkj2nPbiuQ8g\nfRwd9ReKDEZw+9kcLdEandNVTkfkGQ9Kel7SNyhSAQAAgIwz58GUoMhgBIW/btfz+onT0XjKOUkP\nSBSpiezaxfd4AQAAsCBRqM5HZDCC6/Qt3eNwMEAMRnUEMB0+yAIAuBxdf+ejpUVteXn6ljbR7Rfu\nk+woplG/p7dEGTCwDr8PCMxs8oMsKXzOeOU3dAEACwZXVOcjN1cfSDqnr6heIdUr5HREGa8+alqf\naEEkP4pp1JXXn0XNro+Zxt52rQV2JTk2pzPdT/X2vWC6ffZULqb7IIsrrfZLc06TPY49dbwDWJAY\n9Xe+DEOGtsnSS5Kk3/VZjPqbSoYhQ1LkCMqkYykVDGPmHG3eHC7q1q+XfvnLcH4t68t1J3MePc/N\novdnIQy2FZ3fae6nNOex2/OC6fY5NteZfHV+bEzKy5POnp26X8Hgl1da77+fK612SHdOkz2nvXju\nA0gbO2o+rqgCXtfSEp52djobh12i9yeTCguk3wK7Oj8rk+dG7DmS7FcGkLzIeBYipwAwCxSqgNdN\n9w/rQpVp+xONbpmzM998ebFo44Me+13OaZVETlOJ10cg41CoApmEN+rMluorfJl2/Mw3X14s2jL5\ngx6nXM7lgh+ozu0yuQcE4FGM+gtvyeTvnElXjuSZSHQusDCk+gpfpo0EG9Xlsnwu+aJog5tk+vvX\nfM3m9ZFcAgsCV1TnyYxMN8rURidDmZsFdgXFjJr+Spp97NGfuK5YsSD2eVZi3qjNRMtG5eLfLs+K\nXt5MMM/tTKcDmAVzNvdjR3K24fyd8vyZ9l26y/mK7XJpTrN4vPnTLZsJzFnOx9yZdjxJklcMk92W\nLTG5SbIj3UtcfQUWCEb9nSfDMCRtk3SzJKmvz1xYo/7OdTRChz6NDOc77Jik4OSdZGOfHBF2tutJ\n7v0ENjquf/xHtRUV6RuXR/JMeL5dzkW3wv/Ij1lWJL/W5dvWNPNcJ6ZtjLw8d8YpxY1V+nLkzeh8\nT96P3pcp9xOdv7HH61//ddzjd8r2xsYu/zZ0+HjIBLH5nG7e5Pxk5mWK6fYtk/d5VpJ5zU/yfWG6\nY25Wol5WQlPsAAANYklEQVSzy2NHa57DtmyJyWWSPnaTzCWAubPjvYSuv143166ELugi+Onl6ay6\n9bW0aDgvTzfOdj1p6j6vWCF98IE73tyi4/rOd/SApG8kimvyH6vsbL0s6SFlwHenEnV5dtsHDLPp\nnj2TROdv7Hb+8z9nPmdzc/XA/CLyBrcdU+nkpX1P5n0une+FLS1ffpCUyXlPB3IJLAh0/fW6lha1\nSbMfLMQFo2E+KKlNsxxJMTdX/rmsJ039LuepU+7pLpRMd83oLqI9PeF/rF5/XePKgCJVSpwDt3Xx\nsvPcSXT+xuYk07r1Osltx1Q6eWnfkzln0nleXf4gKSNes51GLoEFga6/87Tgu/5qjm1yuYvgN9Lc\nZSa662+02cQf/Ryz2u+xsalXY93SXSimu2Z0e0ZuR3cRXbo0XGivX6/cX/4y8kY9XTdfV3f9jb46\n/PrrekhX5iDS3Xv9eneM3hpz7sTr6ht7f9quv3Hux24n0o13mm69M21/oUtJ19943QYX4JXGOXX9\nddv5lErJdIVPsru8XedVMs9D19/k9icT9x9wk4Xb9beiwpHNpsI7kqQOSf9DklR4X4d0lYMBzcE7\n0pza5GuS9Kd/anM0ib0z3QOziH/Kc8xyv4cUbmlDSvu+J/I1hY9CVVRMac/I7d/+VpJ0QdLVPp8+\nOnVK101MhNeZNLluzPPEm+caPT3S+fOSpP+l+DnQF1/oI0nXTUy4ps2iz53o/E57PyrnM92P3U5H\n1OOx95PZ/kLyy1++J0lav35dZF68/ZluH+PlMm5+Lx9TU14Hoo5F3XyzVFIyl11Iq+mOnYTnuQvP\np1SKd87MZRm7zqtknifZbS3kc306s3mPysT9BzKNM1dU35m23Fhw/vnWW/XPuks79Z+SpLv+9wHd\nVOhwULP0z7feqp1zaJO5rjcf4XxLO6PnSXo3yTgqbr01su5s1ove/uS6msP6qTKZl3ffeWdKu0Ru\nnz+v31dVaZek16OWic5n9P134ywTPe+OTVWSpDf+b6cj+xvZ/tpV0jvvSCtW6MUPPtABXZkDyZlj\nNZHYNoo+FuPdT7QvifZtpudOdpmFouLy+Zlo/6abNzk/NpfT5feK59i7V3rnHfVI8nd2SosXJxWv\nk3lOtG+Jzpe5nk/T7e9MeXAyT8mcD3Ytk8zrql3bms1ykv1tkKo2nc2xuZBf64CFwLj11vn3IqHr\n7zwZhgxtk6WXJEm/67MWXNdfGYauWRweefTjj88kuYohS5LS3ZaGIUNS9FYNZWnx4sVJxR6JW+Gr\nIbPtMhy9rma5/kyuueZaScm3wRSTebEsyTC+bJeY+VcsE53PmZaJmudEl6nYLs2SZJ09K+XlSZen\ncXNwOQ+yrCtyPK+czyP+adtomvvx9mXa+1M3mvi5k10mRZLtaptsO8U9LpPZ56j5V+RyuvzGPsfY\nmJSXp1zF7wLqyhGFE+xbwtf2mR6fdrW5jTKc6HE7zuGE20/mfLBpmaReV+2KZzbLyf5jNdnnm3X7\nzubYnOVrnePn6wKUzvdYuI8d5wyDKUGSdP78WZ0/fzbl2wmFQil41i/mGHtW5EXUDtN9fzZZc20D\nO/chlVLS9pPfj0vye3KxOU6U88n2vOaaa6fN8XzbPBXsjsmu55vP88Rrp0Tt4ojLx6Adg7PMJVdu\nOBaniyE1r/th6XrvQmKJzsf5tD/tu7DN5/8aV72+LzBueD+wS0oK1Y6ODpWWlqqkpERPP/10KjaB\nBSqV/7DM/sSca4HrLgtlH+bS9ul8sZ1uW7FvtNMtxxtrevEPbHLccFym8nUf7pDofKT93WOurwfp\nfh3h9R2TbB9M6dKlS/qrv/orvf766yooKND69etVXV2tFStW2L0p2CC6O+tMnO7CMZtYZ/288+ia\nEPvifc011+r8+QtavPjqabuYGoahxXG7W4ev8n788ZkF083IrjgXyv5OJ94VP8m7XZ4Wenu60VyO\nKf7Z41wEJs319WChvI5wrmce26+odnd3q7i4WEVFRcrOztYDDzygI0eOzPt5Z/o0J9GVl+nWNQwj\n7nqGYUTWiX48+nmm215Z2devWC82xth4ZrpCEx3nTHkIL/+VKXHGe57ZmFwn/AnX+Snbj93ebJ5v\nuvvTzUtWvBwkG1NsuyfzKWK87qTS53G6mE7N3eR6U+Ob/irvbGJyynTniyQ1Nj4dt6hPZt5ClMmf\nCCdzDsN+mXxMpRJ5Q7plyvvYQmPHuT7f/z/n2+68n05l+2BKP/7xj/Wv//qv+qd/+idJ0ksvvaRf\n/OIX2r9/f3iDNAAAAAAAZDTX/Y7qTIUoXcEAAAAAAInY3vW3oKBAAwMDkfsDAwMqLFxgPywKAAAA\nAHCM7YXqunXr1NfXp5MnT2p8fFxtbW2qrq62ezMAAAAAgAxle9ffrKwsff/739ddd92lS5cu6ZFH\nHmHEXwAAAABA0my/ovrwww/rL//yL/WVr3xFv/vd7/T444/rzJkzqqys1PLly1VVVaWxsbHI8o2N\njSopKVFpaak6OzvtDgdpNDAwoNtvv10rV67UqlWr9Nxzz0kS7e8RFy9e1IYNG1RWVia/36/HH39c\nEu3vJZcuXVIgENA999wjibb3kqKiIq1Zs0aBQEDl5eWSaH8vGRsb03333acVK1bI7/frF7/4Be3v\nAf/+7/+uQCAQ+VuyZImee+452t5DGhsbtXLlSq1evVoPPvig/vu//9ve9rds9uabb1rvv/++tWrV\nqsi873znO9bTTz9tWZZlNTU1WX/zN39jWZZl/eY3v7HWrl1rjY+PW/39/dbNN99sXbp0ye6QkCYj\nIyPW8ePHLcuyrPPnz1vLly+3enp6aH8P+eSTTyzLsqzPP//c2rBhg/XWW2/R/h7yzDPPWA8++KB1\nzz33WJbFa7+XFBUVWR999NGUebS/d+zYscM6ePCgZVnh1/+xsTHa32MuXbpkLV261PqP//gP2t4j\n+vv7rWXLllkXL160LMuyampqrB/+8Ie2tr/tV1Rvu+025eXlTZl39OhR1dXVSZLq6ur0yiuvSJKO\nHDmi2tpaZWdnq6ioSMXFxeru7rY7JKTJ0qVLVVZWJkm6+uqrtWLFCg0NDdH+HpKTkyNJGh8f16VL\nl5SXl0f7e8Tg4KBeffVV7dy5MzK6O23vLVbMqP60vzecO3dOb731lh5++GFJ4a+ALVmyhPb3mNdf\nf13FxcW66aabaHuPuOaaa5Sdna1PP/1UX3zxhT799FPdeOONtra/7YVqPKOjo/L5fJIkn8+n0dFR\nSdLw8PCUEYELCws1NDSUjpCQYidPntTx48e1YcMG2t9DJiYmVFZWJp/PF+kGTvt7w7e//W1997vf\n1aJFX76t0PbeYRiG7rzzTq1bty7yO+q0vzf09/fr+uuv10MPPaRbbrlF3/zmN/XJJ5/Q/h7T2tqq\n2tpaSZz7XnHttdfqscce0x/+4R/qxhtvVG5uriorK21t/7QUqtEMw0j4W6sz/Q4r3O/ChQvaunWr\nnn32WS1evHjKY7R/Zlu0aJFOnDihwcFBvfnmmzp27NiUx2n/zPTTn/5U+fn5CgQC0/5WNm2f2d5+\n+20dP35c7e3t+sEPfqC33npryuO0f+b64osv9P7772vPnj16//339dWvflVNTU1TlqH9M9v4+Lh+\n8pOf6P7777/iMdo+c3344Yf6h3/4B508eVLDw8O6cOGCXnrppSnLzLf901Ko+nw+nTp1SpI0MjKi\n/Px8SVf+5urg4KAKCgrSERJS5PPPP9fWrVu1fft2bdmyRRLt70VLlizR3XffrV/96le0vwf8/Oc/\n19GjR7Vs2TLV1tbqjTfe0Pbt22l7D7nhhhskSddff73uvfdedXd30/4eUVhYqMLCQq1fv16SdN99\n9+n999/X0qVLaX+PaG9v19e//nVdf/31kvi/zyvee+89/fEf/7Guu+46ZWVl6S/+4i/0zjvv2Hru\np6VQra6uVnNzsySpubk5UsBUV1ertbVV4+Pj6u/vV19fX2S0QCw8lmXpkUcekd/v16OPPhqZT/t7\nw+nTpyMju3322Wd67bXXFAgEaH8PeOqppzQwMKD+/n61trbqjjvu0KFDh2h7j/j00091/vx5SdIn\nn3yizs5OrV69mvb3iKVLl+qmm25Sb2+vpPB3FVeuXKl77rmH9veIH/3oR5FuvxL/93lFaWmp3n33\nXX322WeyLEuvv/66/H6/vee+3SNAPfDAA9YNN9xgZWdnW4WFhda//Mu/WB999JG1adMmq6SkxKqs\nrLTOnj0bWf7v/u7vrJtvvtn6oz/6I6ujo8PucJBGb731lmUYhrV27VqrrKzMKisrs9rb22l/j/j1\nr39tBQIBa+3atdbq1autv//7v7csy6L9PSYUCkVG/aXtveH3v/+9tXbtWmvt2rXWypUrraeeesqy\nLNrfS06cOGGtW7fOWrNmjXXvvfdaY2NjtL9HXLhwwbruuuusjz/+ODKPtveOp59+2vL7/daqVaus\nHTt2WOPj47a2v2FZ03yhCAAAAAAAB6R9MCUAAAAAABKhUAUAAAAAuAqFKgAAAADAVShUAQAAAACu\nQqEKAAAAAHAVClUAAAAAgKv8f0yIUPziTcK+AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1005a0590>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- probability curve to fit nearby neighboring peaks\n",
"\n",
"- local maxima \n",
"\n",
"- GUI to interactively move threshold, and find peaks"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.signal import argrelextrema\n",
"maxima = argrelextrema(peaks, np.greater)\n",
"minima = argrelextrema(peaks, np.less)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(minima)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(array([], dtype=float64), array([], dtype=float64))\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"[a1, a2] = maxima"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ratioToTonic=[]\n",
"for peak in peaks:\n",
" ratio= peak/ float(int(tonic))\n",
" ratioToTonic.append(ratio)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#peaks"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"peaks.T, ratioToTonic"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 21,
"text": [
"(array([[ 0, 141, 142, 143, 179, 190, 213, 214, 215, 216, 226,\n",
" 227, 238, 239, 268, 270, 272, 275, 277, 279, 280, 282,\n",
" 284, 286, 288, 317, 319, 321, 324, 352, 355, 358, 361,\n",
" 364, 367, 373, 376, 380, 383, 424, 428, 432, 436, 441,\n",
" 445, 479, 484, 490, 537, 544, 551, 565, 572, 580, 621,\n",
" 630, 1160, 1191, 2756, 2940, 3150]]),\n",
" [array([ 0.]),\n",
" array([ 0.99295775]),\n",
" array([ 1.]),\n",
" array([ 1.00704225]),\n",
" array([ 1.26056338]),\n",
" array([ 1.33802817]),\n",
" array([ 1.5]),\n",
" array([ 1.50704225]),\n",
" array([ 1.51408451]),\n",
" array([ 1.52112676]),\n",
" array([ 1.5915493]),\n",
" array([ 1.59859155]),\n",
" array([ 1.67605634]),\n",
" array([ 1.68309859]),\n",
" array([ 1.88732394]),\n",
" array([ 1.90140845]),\n",
" array([ 1.91549296]),\n",
" array([ 1.93661972]),\n",
" array([ 1.95070423]),\n",
" array([ 1.96478873]),\n",
" array([ 1.97183099]),\n",
" array([ 1.98591549]),\n",
" array([ 2.]),\n",
" array([ 2.01408451]),\n",
" array([ 2.02816901]),\n",
" array([ 2.23239437]),\n",
" array([ 2.24647887]),\n",
" array([ 2.26056338]),\n",
" array([ 2.28169014]),\n",
" array([ 2.47887324]),\n",
" array([ 2.5]),\n",
" array([ 2.52112676]),\n",
" array([ 2.54225352]),\n",
" array([ 2.56338028]),\n",
" array([ 2.58450704]),\n",
" array([ 2.62676056]),\n",
" array([ 2.64788732]),\n",
" array([ 2.67605634]),\n",
" array([ 2.6971831]),\n",
" array([ 2.98591549]),\n",
" array([ 3.01408451]),\n",
" array([ 3.04225352]),\n",
" array([ 3.07042254]),\n",
" array([ 3.1056338]),\n",
" array([ 3.13380282]),\n",
" array([ 3.37323944]),\n",
" array([ 3.4084507]),\n",
" array([ 3.45070423]),\n",
" array([ 3.78169014]),\n",
" array([ 3.83098592]),\n",
" array([ 3.88028169]),\n",
" array([ 3.97887324]),\n",
" array([ 4.02816901]),\n",
" array([ 4.08450704]),\n",
" array([ 4.37323944]),\n",
" array([ 4.43661972]),\n",
" array([ 8.16901408]),\n",
" array([ 8.38732394]),\n",
" array([ 19.4084507]),\n",
" array([ 20.70422535]),\n",
" array([ 22.18309859])])"
]
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def midi2Hz(midinote, tuning=440.0):\n",
" return tuning * (2**((midinote - 69)/12.0))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def hz2Midi(frequency, tuning=440.0):\n",
" return 69 + 12*(log2(frequency/ tuning))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for pitch in pitches[-100:]:\n",
" for peak in peaks[1:]:\n",
" if int(pitch) == peak: #round to nearest int = 1 hz apart\n",
" #print argwhere(int(pitches) == peak)\n",
" ###print pitch, pitches.index(pitch)\n",
" #print pitches, argwhere(pitches)\n",
" #plot(pitch.index(pitches), pitches)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "IndentationError",
"evalue": "expected an indented block (<ipython-input-26-cc732dd2a100>, line 7)",
"output_type": "pyerr",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<ipython-input-26-cc732dd2a100>\"\u001b[0;36m, line \u001b[0;32m7\u001b[0m\n\u001b[0;31m #plot(pitch.index(pitches), pitches)\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mIndentationError\u001b[0m\u001b[0;31m:\u001b[0m expected an indented block\n"
]
}
],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"distinctSvara = []\n",
"distinctSvaraMidi = []\n",
"distinctSvaraPos = []\n",
"for i, pitch in enumerate(pitches):\n",
" for peak in peaks[1:-5]: #remove 0th, and n-1th peak (0, 2940)\n",
" if int(pitch) == peak:\n",
" ###print pitch, i\n",
" svaraInMidi = hz2Midi(pitch)#the correlating MIDI note of the found frequencies\n",
" distinctSvara.append(int(pitch))#rounded frequencies that are found using timeOnPitch\n",
" distinctSvaraPos.append(i)#the positions where distinctSvara is found on the tracked pitch\n",
" distinctSvaraMidi.append(int(svaraInMidi))#the notes in MIDI\n",
" #plot(i, pitches)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(distinctSvaraPos, distinctSvara, color='b', alpha= 0.5)\n",
"#twinx()\n",
"#plot(distinctSvaraPos, distinctSvaraMidi, color='r', alpha= 0.5)\n",
"#ylim(0,500)\n",
"#xlim(200, 500)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"[<matplotlib.lines.Line2D at 0x129fa5750>]"
]
},
{
"metadata": {},
"output_type": "display_data",
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RYiKyzfTrB3zrW/njN94INDaqpdHVBUydGi0f/frFs+UNIWmQKaH14EGguTmZex06JD7D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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x129f36d90>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#plot(linspace(0, sample_dur_secs, len(pitch)), pitch)\n",
"#plot(linspace(0, sample_dur_secs, len(distinctSvaraPos)), distinctSvara, 'rx')\n",
"plot(pitches)\n",
"plot(distinctSvaraPos, distinctSvara, 'r.')\n",
"hlines(tonic, 0, len(pitches), color = 'g', lw=3, alpha=0.75)\n",
"vlines(groundTruthAlap*44100/hop, 0, max(pitches), color = 'g', lw=3, alpha= 0.75)\n",
"ylim(0, peaks[-4]+100)\n",
"twinx()\n",
"plot(pitchesConfidence, 'k', alpha = 0.5)\n",
"#xlim(800, 1000)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 29,
"text": [
"[<matplotlib.lines.Line2D at 0x12adc4910>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RzJw5EwsXLvTNXdmM02jpypKrIFxyySWoqKjAgQMH0NraigULFmDSpEmGNCUl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vLhV/PmzQNFCU+VkJvcPPIu2IGyXqXWXDkI/coatmDBAn89ezBT9zuX/QjHftrzivHjx6u/b7jh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\n",
"text": [
"<matplotlib.figure.Figure at 0x129f55310>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Remove sustains, and only look at note changes for transition patterns"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"changeInDistinctSvara = []\n",
"for i, svara in enumerate(distinctSvaraMidi):\n",
" #print svara, i\n",
" if distinctSvaraMidi[i] != distinctSvaraMidi[i-1]: #remove note sustains, only look for note changes based on timeonpitch notes\n",
" changeInDistinctSvara.append(distinctSvaraMidi[i])\n",
"# print 'true'\n",
"# else:\n",
"# print 'false'"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#print(changeInDistinctSvara)\n",
"#plot(changeInDistinctSvara)\n",
"#plot(distinctSvaraPos, distinctSvara)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"uniqueMidi = list(set(distinctSvaraMidi))\n",
"uniqueMidi"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 32,
"text": [
"[65, 66, 68, 69, 70, 72, 73, 74, 75, 49, 53, 54, 56, 57, 58, 60, 61, 63]"
]
}
],
"prompt_number": 32
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"singleOctave=[]\n",
"for eachMidiNote in uniqueMidi:\n",
" pitchClass = mod(eachMidiNote, 12)\n",
" singleOctave.append(pitchClass)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"singleOctave"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 34,
"text": [
"[5, 6, 8, 9, 10, 0, 1, 2, 3, 1, 5, 6, 8, 9, 10, 0, 1, 3]"
]
}
],
"prompt_number": 34
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"singleOctave_changes = []\n",
"for eachMidiNote in changeInDistinctSvara:\n",
" pitchClass = mod(eachMidiNote, 12)\n",
" singleOctave_changes.append(pitchClass)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 35
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"HMM Transition Matrix"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def transitionMatrix_counter(markovChain, transitionMatrix):\n",
" for i in xrange(1, len(markovChain)):\n",
" old_state = markovChain[i - 1]\n",
" new_state = markovChain[i]\n",
" transitionMatrix[old_state, new_state] += 1"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"transmat = np.zeros((12, 12))#12 by 12 for the chromatic scale\n",
"transitionMatrix_counter(singleOctave_changes, transmat)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in xrange(0, 12):\n",
" #print transmat[i]\n",
" transmat[i] = (transmat[i]/ sum(transmat[i]))\n",
" for j in xrange(0, 12):\n",
" if np.isnan(transmat[i][j]) == True:\n",
" transmat[i][j] = 0\n",
" #print transmat[i][j]\n",
" print transmat[i]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.04651163 0.6744186 0.04651163 0. 0. 0.02325581\n",
" 0.06976744 0. 0.04651163 0.04651163 0.04651163 0. ]\n",
"[ 0.06203474 0.52109181 0.02233251 0.04466501 0. 0.10669975\n",
" 0.05955335 0. 0.10173697 0.0471464 0.03473945 0. ]\n",
"[ 0.06666667 0.46666667 0. 0.2 0. 0.\n",
" 0.06666667 0. 0.2 0. 0. 0. ]\n",
"[ 0.02272727 0.43181818 0.06818182 0.02272727 0. 0.31818182\n",
" 0. 0. 0.13636364 0. 0. 0. ]\n",
"[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
"[ 0.01298701 0.54545455 0. 0.16883117 0. 0.03896104\n",
" 0.12987013 0. 0.06493506 0.01298701 0.02597403 0. ]\n",
"[ 0.01886792 0.47169811 0. 0.03773585 0. 0.1509434\n",
" 0.20754717 0. 0.05660377 0.03773585 0.01886792 0. ]\n",
"[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
"[ 0.03703704 0.5308642 0.01234568 0.08641975 0. 0.07407407\n",
" 0.03703704 0. 0.12345679 0.07407407 0.02469136 0. ]\n",
"[ 0.06666667 0.6 0. 0. 0. 0.03333333\n",
" 0.06666667 0. 0.2 0. 0.03333333 0. ]\n",
"[ 0.24 0.4 0. 0. 0. 0.04 0. 0. 0.2 0. 0.12 0. ]\n",
"[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n"
]
}
],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.rcParams['figure.figsize'] = (8,8)\n",
"imshow(transmat, interpolation='none', cmap=cm.gray)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x129f8d210>"
]
}
],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"imshow(transmat, interpolation='none', cmap=cm.gray)\n",
"for rownum, row in enumerate(transmat):\n",
" for colnum, val in enumerate(row):\n",
" text(colnum, rownum, round(transmat[rownum][colnum], 2), fontsize=10, color='white' if val < transmat.max()/2 else 'black', ha='center', va='center' )\n",
"#colorbar()\n",
"svaraNames=['Ni', 'Sa', 're', 'Re', 'ga', 'Ga', 'Ma', 'MA', 'Pa', 'dha', 'Dha', 'ni']\n",
"xticks(arange(12), svaraNames, fontsize=14)\n",
"yticks(arange(12), svaraNames, fontsize=14);\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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H0KFD8emnn7JHCK1P9QoEAo2LU/jg6NGjnR1Bw+TJkzs7goaWU/t8w/VXSrjw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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1005eb050>"
]
}
],
"prompt_number": 41
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___"
]
}
],
"metadata": {}
}
]
}
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