{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
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"source": [
"Source Separation with Sparsity\n",
"===============================\n",
"\n",
"*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n",
"$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n",
"$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n",
"$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n",
"$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n",
"$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n",
"$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n",
"$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n",
"$\\newcommand{\\norm}[1]{\\|#1\\|}$\n",
"$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n",
"$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n",
"$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n",
"$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n",
"$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n",
"$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n",
"$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n",
"$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n",
"$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n",
"$\\newcommand{\\CC}{\\mathbb{C}}$\n",
"$\\newcommand{\\RR}{\\mathbb{R}}$\n",
"$\\newcommand{\\EE}{\\mathbb{E}}$\n",
"$\\newcommand{\\Zz}{\\mathcal{Z}}$\n",
"$\\newcommand{\\Ww}{\\mathcal{W}}$\n",
"$\\newcommand{\\Vv}{\\mathcal{V}}$\n",
"$\\newcommand{\\Nn}{\\mathcal{N}}$\n",
"$\\newcommand{\\NN}{\\mathcal{N}}$\n",
"$\\newcommand{\\Hh}{\\mathcal{H}}$\n",
"$\\newcommand{\\Bb}{\\mathcal{B}}$\n",
"$\\newcommand{\\Ee}{\\mathcal{E}}$\n",
"$\\newcommand{\\Cc}{\\mathcal{C}}$\n",
"$\\newcommand{\\Gg}{\\mathcal{G}}$\n",
"$\\newcommand{\\Ss}{\\mathcal{S}}$\n",
"$\\newcommand{\\Pp}{\\mathcal{P}}$\n",
"$\\newcommand{\\Ff}{\\mathcal{F}}$\n",
"$\\newcommand{\\Xx}{\\mathcal{X}}$\n",
"$\\newcommand{\\Mm}{\\mathcal{M}}$\n",
"$\\newcommand{\\Ii}{\\mathcal{I}}$\n",
"$\\newcommand{\\Dd}{\\mathcal{D}}$\n",
"$\\newcommand{\\Ll}{\\mathcal{L}}$\n",
"$\\newcommand{\\Tt}{\\mathcal{T}}$\n",
"$\\newcommand{\\si}{\\sigma}$\n",
"$\\newcommand{\\al}{\\alpha}$\n",
"$\\newcommand{\\la}{\\lambda}$\n",
"$\\newcommand{\\ga}{\\gamma}$\n",
"$\\newcommand{\\Ga}{\\Gamma}$\n",
"$\\newcommand{\\La}{\\Lambda}$\n",
"$\\newcommand{\\si}{\\sigma}$\n",
"$\\newcommand{\\Si}{\\Sigma}$\n",
"$\\newcommand{\\be}{\\beta}$\n",
"$\\newcommand{\\de}{\\delta}$\n",
"$\\newcommand{\\De}{\\Delta}$\n",
"$\\newcommand{\\phi}{\\varphi}$\n",
"$\\newcommand{\\th}{\\theta}$\n",
"$\\newcommand{\\om}{\\omega}$\n",
"$\\newcommand{\\Om}{\\Omega}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"This numerical tour explore local Fourier analysis of sounds, and its\n",
"application to source separation from stereo measurements."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"Attaching package: ‘audio’\n",
"\n",
"The following object is masked from ‘package:tuneR’:\n",
"\n",
" play\n",
"\n",
"\n",
"Attaching package: ‘pracma’\n",
"\n",
"The following objects are masked _by_ ‘.GlobalEnv’:\n",
"\n",
" circshift, fftshift, grad, ifftshift\n",
"\n",
"The following objects are masked from ‘package:Matrix’:\n",
"\n",
" expm, lu, tril, triu\n",
"\n"
]
}
],
"source": [
"options(repr.plot.width=3.5, repr.plot.height=3.5)\n",
"options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n",
"\n",
"library(Matrix)\n",
"library(tuneR)\n",
"library(colorRamps)\n",
"library(audio)\n",
"\n",
"# Importing the libraries\n",
"for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n",
" source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n",
"}\n",
"for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n",
" source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Sound Mixing\n",
"------------\n",
"We load 3 sounds and simulate a stero recording by performing a linear\n",
"blending of the sounds.\n",
"\n",
"Sound loading."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"n = 1024*16\n",
"s = 3 #number of sounds\n",
"p = 2 #number of micros\n",
"\n",
"x = Matrix(0,nrow=n, ncol=3)\n",
"x[,1] = as.vector(load_sound(\"nt_toolbox/data/bird.wav\", n))\n",
"x[,2] = as.vector(load_sound(\"nt_toolbox/data/female.wav\", n))\n",
"x[,3] = as.vector(load_sound(\"nt_toolbox/data/male.wav\", n))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Normalize the energy of the signals."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"x = x/matrix(rep(c(sd(x[,1]),sd(x[,2]),sd(x[,3])),each=n),nrow=n)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"We mix the sound using a $2\\mathrm{x}3$ transformation matrix.\n",
"Here the direction are well-spaced, but you can try with more complicated\n",
"mixing matrices.\n",
"\n",
"Compute the mixing matrix"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"theta = seq(from=0, to =pi, by=pi/s)[-(s+1)]\n",
"theta[1] = 0.2\n",
"M = rbind(cos(theta),sin(theta))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Compute the mixed sources."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"y = x %*% t(M)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display of the sounds and their mix."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
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d7TIje3jKdHRZWxQU6OekN9kNHiJRUi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",
"text/plain": [
"Plot with title “Source 1”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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zBrVjjLxjAMwzgKCw4mdMiCQ8xVIa/K\n66/jrrs4mINhGKbUwoKDCR02Fo78fHi9yMtjzcGEn0cfxWuvhbsQDFPqYMHBhA552TZlxgq9\nmD4dycnYsweLF/NiK0zY+OorLFwY7kIwTKmDBQcTOsxSQ9m5fz/y8jB1Knr0wIIFYSkjw6Cg\ngFczZpjgw4KDCR2yM0XEcIg/APn5AHD2LFC45ArDhB6KK2IYJriw4Cg9bNuGjRvDXQgLcnLQ\nvTvmzgX8HSuKS4UScpDsOHgQycmYPTscxWXKPCw4GCbosOAoPTz0EO64A/n5mDIFmZnhLo0/\nR47g+++xZAlgETQqO1ZIdhw8iDNnsHUrrrmGZQcTUkSFZBgmiPBaKqWH3FycPYuffsLDDyMh\nAb/+ivR0zJgR7mIBKNQQeXmAv+AANIKDvC1k5zh2DMuXo00b9OsX4iIzZRcWHAzjBGzhKD2Q\n4zknBwByc7FyJVavDneZCpF9JWaXCnTxpPJa9m43PvyQF5VlQgcLDoYJOiw4Sg80LBM9dEFB\nBM0slX0lRbpU5P/0kYICPPww3nor1MVmyiZs4WAYJ2DBUXqQ1yVxu33LsQYRtxvHjxd92JEj\nvte5udizxyeDYDJmmAWH2b2SlwePh9d4Y0IEqw2GcQIWHFHMH39g927fpjwsU+IkSkxGBn7/\nHQB++gnp6Rg1Cg0b4tgx9OyJBQvw5pto3BhHjqBOHXz2Gb7/HlOn4qefULcuFi3Cs89i8mSM\nHYsWLQyZQupBsXDImC0cilJZvhzbtp3vRTFa0tMB4MwZP8PYzz/j6NFwlSicsOaIfDIyeBAS\nZbDgiGJuuQUPPujbVEwFJTMLL1qEYcOQnY3UVLzzDkaNwmWX4c8/0aULxo7FgQPIzsa6dfj2\nW8yfj3XrsHcvNmzA0aNYuxavvopHHkFaGgDs34/33sPUqThxAvn5+OsvIGALh5VjxetFv354\n6qkS3CrGkueew8SJmDYNtWtj1y40a4bhw4238vJwzTUYORLp6fjhB81n774bjzwSysKGCHap\nRAUtWuCJJ3ybJ06EryhMYLDgiGJycowcWYTcc4uV3wPkzBk0bYoZMzBjBiZMwLZtOHgQGzfi\n+HG43di3D14v0tORmwsAGRkAkJ3tt5mTg6wsY6YMgKwsZGfj7FkjUPTMGUBn4TAXG7oAUkrg\nsWOH8RXEs8/iuecCv1uMno8/xmef4cABFBTgwAEcO4bDh3HoEGbPRnY2CgqQlYVx43DddThy\nBMuWYf9+rFuHG27AqVNYswZr1yInB//5D06fDveVBA9WG5GP14vDh3H4sLE5Zw5q1cKmTWEt\nE1MULDiiGGUcdj4Wjv37sXs3Vq82JrmQdT0vz+jdSS7k5RnzWikHaG6u8S4pDHHwuXPGuwUF\nyMkxBAd9RNYQsrUDsBQcZBqhFd22bMG5c76PfPMN5s8P9AIVFi70CzQpg6Sn4x//wOHD8HpR\nUOBnSXK7MWECbr/dMFZ5PEatOHsWN9yAF17ATz/hu++wfbvxweXL8fjj+PprbNiAL74I3yUF\nFdYcEUt2NsaPN+wZHg9eeQXdu+Ovv+D14tgx7NpltDlMBMKCI4opUnAEYuGYMwcjRhgqQYgG\nGq3m5/tpiPx840mm7qegwNAf9G5BgXEwaQv6n59v9GH0llUMh2LhoLf27gWAZcvUAouLKnH+\n6dOncfPNGD26JJ8tNSxfjnfewZIlftpUCA76ZUlKikjk7Gzk5SEnx6dO3G54PMaPm5eHV19F\n//4A8Pvvht0rSjHXqwMHMG1aOIrCmFi+HE884UtbvGoVVqzwZQts0QJvvx3eAjKWRKXg+P33\n31999dVRo0Z9//335nfHjh07duzY0Jcq9Jj1hOJSsemPc3MxZAg2bcLHH+Nf/zK6B+pOACNR\nKZkoIKkH6oeE4JAVhtAf9C79p9m5KFQwslVDWUtFviLapCQi5ktIS/NNr83MLEnUWE4OvF5k\nZBh954IFRmnLFPRjkWIQkkLcWPp1xKYsR8S7YiaUmLqckwO3G6dO4bLLMHYs1q7FQw8hJwd9\n+2LoUBw6hDZtsHJlqK+0ZCgVb9Ik3HcfDh0KU2kYCRr2UOPj8SA/31eBKeRZzKRLS8M334Sp\nlIyO6Ms0OmzYsAkTJojNPn36zJo1q1y5cmLPiy++CGDEiBFhKFxosbdwwNYsvGkTJk1CjRqG\nk4IEh9ut1xDk0TBbOBR3ifyuMGlQb3TqlLEJnYUDOpeKFbt3o1MntG0Lj8doUC69FA0a2H1E\nZuBA1KgBAGlpqFYNd9yBadPw8ce4775AzxDtfPIJtm1DmzaAJBoUFagssKeE8SoBv2KTXmRk\nwO3G2bNYsAAffoghQ/Drr6hXD1u24I8/8NtvWL4cU6Zg507Ex4f2ygPGLNapbptt9QcOIC4O\n9eoZm6dPY/ly9O7tfBHLMIoapj9FE0+ciPLl8dtvmDQJGRmoVKkkX3TqFJKSIPUtOHsWb7+N\nRx5BzZrnexVlkyizcEyePHnChAkul+uuu+56+eWX27Vr9/XXXz/99NPhLld4MDeLNhaO1atx\n552+JVhJQ2RlGQ4RoTBk0SDkAqkHkUlMZCind+lUysFCcMjDERsLhyw1RFioFWvX4qOPjPCO\nu+4qun3futU3sP7qK8ybB8CYcbNhg+/yw0taGiZOxOHD+OgjZwMIpk/HxIk+SSG314qkkH8j\nSHpRVhhmwUG/OJ2ZXshp6NxubNuGfftw5gxOnSr6tw4X6el+xjOreea9euHuu32bEyeiTx+/\nyepTpkSNUScqoJQ88FfDSo31ePDmm5g40WiaqL0qLl4vmjXD449j9mx88AE+/xyNGuF//8PI\nkZg3D+PH47ffMGoUXnwxONdVRogywfHhhx8CGDNmzOeffz5y5Mg1a9Z07dr13Xff/Z2SRZQx\nqCc4dgyvv47cXM0sFbnf+uYbzJqFnTuNTXoI8/KMvlYRDUJw0AOsmCvEpvKuvAaKslMY8KEL\nGhXlpOjUBQuKvna329eaHD1aRJjY44/jttuM1wUFflchrDVhZ+pUPPYYHnsMDz7obLA9heYo\nCeLMc5VhEhzKu6KOaXWJEBx0fll/CGvBRRdF7qza/fuNKCLCSnBkZPgtlEiVimomAK8Xjz6K\nd95xsJxlildeQYMGfksyKSMWURXz832NT2YmJk0q9qAiNxcnTuDAAfz733jhBaxbh/37jfbz\n4EE88QTeew+ffIIvv8SyZRgzJngXWaqJMpfK1q1bATxYmH2iXLlyH330UcuWLV944YWFCxeW\n4IRut3vhwoU5tj78DRs2AMiPvNBneszmzMFzz+H//k8fDOHx4Prr0bev8ZSKASVtKmEZQlII\nfSDLBTGXQXb/o1BhiEGGODMkK4gY9YqyaWM4KCanuHf6yBFs2IDLL7c8gCbULFtm9HyyMJIL\nFgibN6NGDUyahF698P33ePBBVK6MxMTiFVghPx9bthgNIsXey7Odg47Hg7w8X3yoWXBYGTys\nBIfY1HpexABUbApFcvSoYaay59AhnD2L5s2Dc/mBQFck10MrwSGeAvkwUZ3IrlOyETZjZs8e\nHD3q559VzGxyuyeq8YIFeOwx1K2LW28txneJUGia4U8iksQljYsoL0BMjGH/GDIE27ejU6cg\nXWopJcoER0FBAYCqVauKPQ0bNnziiSdeffXVVatWXXnllcU94dKlS3sH5nGdMWPGtddeW9zz\nOwq19bKSMHcGp0/jxx9RtSrq1wekobzwkmiNFqIbttkUPYd2U/sRkb8LFjEcgScOUTC36du3\n49dfce+9xmk9Hjz+uNEByNlL5SXizPz8M374AeXK4c8/0aMHKlTA7bejTRusXo3587FhAzZs\nwNy5WLkSV1yBJUswfTr++1+43ShfvhiFnzIFQ4bghhsAaY7PunW47LJinCRwZL9VQYGd4AjE\npQKTEDFvyqEeop7k5fmsIwp3341y5XyzQu67D1u3Ys8ePPEEBg1CSgrWrMHNNwfznmiRy2YV\nXSQuR2zKH1Q2ZX77DXFxuOSSYBW2TKBEb0Anc1FYRUlMo3A0VVzZJ4ZVFLsmZwSQHdDx8cbm\n++/jn//E2rVOPbalgygTHKmpqbt27Vq/fn0nSUk+88wz77///vDhw3/++efY2NhinbBLly7z\n5s2zt3BMmjRp2bJlKSkpJSx0sPn8cwwahB07APiabHq6zDGYQo7I0xAgxYHKbhG5M4DOhmHz\nrtiUTRrm6Q+ibEJ8mCNRSsD06bj/fixfjrp1jT3jx+P995GWhtWrjT4vK8vo5OTCyK/NfPAB\npk1Dq1bYvx9LlqBSJWRlGbmGaN7N5s0oKMDs2Rg3DuXK4bPPkJGBtWvx+OM4dAgbNqBBA1x/\nPRo0wKefok8fXHwxUlKwbBk6dzauev58I3c4zYCgH+Kjj/D55/jlFzuzTYmRDVEkOESPaO9D\nCdDCoYSaCrUhTqIUwMyyZahUCatX48YbMX8+jh/HiRPYuRPvv4+KFREbi9dfx8GDWL0aDRo4\ncous5K+5onr9J5+LS374Ybjd+M9/1POcOYPffkOXLhg4EAkJWLcu2EUv1SiBGrBeblo2e4gG\nKi/PLwLUHjFGorn9tEnNpnBA5+UhIcGoyWSbPHECs2eje3dUrnxeV1paiTLB0adPn3Hjxg0e\nPHjWrFnNmjWjncnJyaNHjx46dOhDDz00ZcqUYp0wNja2V69e9seQsyYmJlLiXXbvRmYmjh5V\nm3voOgNhb5CH9bBwmohNMe7XOk2Ud5XZkrIxQ7FwyO213F6cv+b44AMAmD0bHTuifXukpRnf\n+M03+OUXXHaZUTw5lEQu2MGDeO45jBiBihWNE377LUaMMOaznD6N3Fxjzif8Gx0a3Myfj+3b\nDZv/H3/g0CF8+CFOnoTXi/R0zJyJ1q2xYQMOHMCyZejWDYsXo39/zJiBe+7Bp5+CDHN0QhIc\nx475/geRI0dQpYpxq0XmFboJgfhQihQcNofJVhOlUpnJzET58vj9d5w+jY0bkZuL/HzjVufk\n+HKE9O+P667DjBn47DM88AASEoJ4q1SsLBxK1RWHrV7tc0HK1/j223j5ZaSlGfKXCZAxY9Ck\niZ/g0IpjbWAHtUVZWUhJwVNP4ZlniviuI0dw441Ggn/yMouRG41M6VGlSXzKzL5VqzB2LN5+\n2y/nOiOIlE40QEaMGNGsWbONGzc2b948NTVV7B8yZEifPn2mTp164YUXhrF4ocHcoEPX+hOi\nRzF7l6EL/NSaNALRH8qmdqeMNobjPBk2DD174uWX0aSJkSVTBJZSScyhJLRn3jy8/rqR+WPp\nUlSpgilTsH69ESOWnW2McuQAW3kyDnXe5N+l12fOIDcXWVlGphAa/ezfj4IC7NoFAJs3w+PB\nb78BhXOGZcOv8B8HEa8XrVvjsceMu01+aFJFQnCIO6N1qShGbCEjtIJDnEQIDkXN2NiWKEGt\niGumFl+08vQrZGYad3jWLAwejGXLfMPQYKFVEuZjzIcJk75ZcIjE//RuTg769cPSpcEsdqnk\n7bfx4YeW2kK70+M/V/b0aRw/bjx99qxahQ0b8NNPgMXkOxHxRgM52dsiYrBWreKsLRqiTHAk\nJyf/+uuvI0eOvPjii9Mp/zYAwOVyzZo1a8SIEdkiQLz0IvcKisIQTZt4SzFdiAMUf7wI/LZX\nGErQho3+UHJGmd3YSlsclNG814sTJ7BiBdyFyX+Egcfr9ZVfvhXyrBy6Cdu2ISMD27cDhdqC\nEoXl5PilGJHzm8njHuHlpQEQdTD0n5KdiC4Hhb2+yKsm/tNXBLf7zMnBiROGYUxcuPAxabWC\n0qYr+qNkFg6PKauYguiqxQ2RfyORbo5uY36+7x727Ytu3YJzr8zywkpwiAJPmuTrYITAkqdi\nEbLQ93hw8CC++gqLFwen2KUYMiQo9RCmcZdi4ZBHWVaZVMwoqQvlFlIeD4iAMFlwiCwDXbrw\nSk8aokxwAKhSpcrLL7+8efPmc/TbFlKuXLkxY8YcOnRo06ZN8yjTQilFeagIpfUnCgp8KT5F\nXzJoEB54wNf1asNCrTJO2pg0tIJDcbvIKBaOX3457/tSyPr1fleEQgOP1+srFfz9wdRkiPyq\n4rUsRETed7nRkaWGIj7IrCK/RRVW3iPcBPCf3SPiG4KYpoLsKMKYIc9SEaeqd5wAACAASURB\nVN9iLzgUE4WNwlDeVSwcSgEEBw7g/vuNbluEM7tNk7Flb7rbbdy9/Hzs3BnQ+FVGZAfRorVn\nmPd4vdi6FUOGYPp0S6NOdjaeegp//ulnAlEUMGODx6ORxZB+kSJdKmJctG4d1q3DF1+gb1/j\ngOxs9Ozpk32K0VduIsyjArd/KgF6ok+dQn5+qVrOMFhEn+CwJzY2tlWrVkWGZUQ19q28OIbM\nG2QYlNu+pUsxf76qEpTATysbhtb+oRUcigXFLDiU9iKIkCFBGdzIFg65bZKvKD0dr71mLOom\nujFIDZY8tKKPy3kXZLOE8N+bLbH0WnajyN8l/1+/HlWq4Mcfg3Nb5GkpkH4gEhxeaSKoYgaz\nERaKS0Vr61YsHEq1kSvADz9g6lRfjVU0sSI4xABUiDPyfHm9mDULkvXTjptuQt++mv2BSA2x\nXxhjyFyEwmrvlTKUbNqEcePw9deqzZ8FR4DYCA4rC4diXhXN1MCBuP9+LFqEOXMwbx6qVsU3\n3+Dbb1XBIYy+chto/i/qp/ws03CFIjwiL51COCltgqMsoDVou/0TKoj2kUbVskuFVo0X3a3i\nJSmWhUN+npWORCgM+QwySnsRdCj8Qny73AGYLRxUvDlz8PzzmDMH8I+iKLKEirtKRm4c5Rwn\n5BGQhYh5CPXnn8jNxebNgV+0HUIJmQWHMHsIraa07Eprrh1HBuhSkWusOPjPP333gcaIYuBo\ntnAo2W9FfaMFijdtwp134r33AronO3b4ZfdSCMSlQpejPBHitohrVDLZeP2nUWhrDgPgzz9R\nuTIWLzbaIhvBYWPhUJ76s2eRlWU8Dhs24PRpI8+eUAY2YzDZWKIIDjmqVKx2efvt6NIl6Hcl\nimHBEX0oDTdBcWfm1l/MdxUPZH4+cnL0Fo5iOU2s9IciOKwSXThn4ZC/V6gKKwuHfAkU9iEa\nC8CR0Yl5QCb6Tvi3aPJ0mPPHRnCIDk8sqaNVGFolIdfDQASHUk+8Xnz/PZo1w+LFfm5yGwuH\nvOnx+OkS4UOUs3/a4PXa3d4A7RxKnwfpJxa3QlyLbAKRn8oI4c47MXNmuAshsWcPMjOxaZNx\nD81S1SxzYSE4RINA9USWrULjEjZNoll2ePzD4JT8xdu2GdFgDMGCI/qgp+jIEb+H6swZTdMP\nkwwnweH1Go+ElQ3j/PVHkRaO0BiTtVdn/lJz6xNKQ6gsQeQWTXbBnD/idzG32ma7sXyM0nDL\n1awELhXlV/B4DB/W4cN+TbZcY2186h5prVoKyBAJZgLB68Wff2oSyZvtGTYWDrOWEg+mWbEp\nQ3BzVGkYyc7GrFkoUcbm4LN9OyZN8nXtyn2GLlQI/nVPOwTyFOYali27QrwScjumNdzaTMRT\nEjefOxe5qwWFBRYc0Qc9RZQFXDxvokdXmnvFV+LxX3GtSA2hWCNtHkXRiytKwkpY0Gf37jXS\nXjkEdWZFihu6V3K0uVkhhQa5HRTxpwMG4HzCoFesQOvWRqY4ZZiodXDQrByYbFclc6mIobzS\nKysVUmTaUOZVuW3T7SueFzmkQ5CTA//4ch9UEtu0f35HagWHfKX2gsNsHBLdpNeLPXuKLoaj\nWF1jWHj3XQwZgoMHAclCSSjagjDXPaVuy0Mvt27uidJkiZbTrFq0gkMbT0pxRV9/jZ49WXkA\nLDiiEaEk5LGmYgYXs0wV6SBeiCB/mzhQ8ZAHEsOh+FACdKkgsOa+xJjDNWwoWQpkJ5AtHPv3\n49NPMX06nngCL71UkrOtWYPNm42cH+b+Xq424qeUFZjWC4MAgka1w01FIss+EdmZZa6xWsEh\nf5z+ZBMR0a8frr5af2dsZIR2v9VJlOOVG+KVgjmUeyLu2Jw5aNIEv/4a0Dc6hFwTwgjFWsrz\nv9yFaZStjBnanYrgkJu4nBzjSBrtUM4eRdAoVl75JDYWDnmWmdttxBVRUOq+fcG7R1ELC45o\nRWm+RW9Km7/9ZmnhUFzggXtJ3AFMSxEvArRwhIYABQfNHAl7gwv/cRJNuMjMxJw5+PTTkpyN\nAlRFD621cMjttVAYIuJY+xGlo1WqojLulztXRb6IX0f2hphdKtr8+h7/UA8hONxu/PwzbrgB\np0/jwAHfIsnz5uF///PdGfmqzciCw0aayB2VfMlmKWa2cIjjKX7owAF9SUID1f9wWThOnsTo\n0cjIQPv2eOghNU7Ca3KpiNtuIzjMWoHmmmVnG2/JGldpQrV+WFlqiHpuIzjo6yiiqAykiCoa\nFhzRh7ZRU55GMUw3Wzi0Bmph0ihxSId4XLUxHOEVHLKdwwZHbS3FQjufJS8PGRkoKDA6p8AR\nObJgbeGQfyahMOgjmZlqmy5LB3Nvqu1czS4Vc5WTpwfLDb2NhUP2vMhKuqAA8+fju++weTPy\n8ny/7Isv4vnnfXfG3pLx0UfqHu2R5meQ9uTm+vokrXFIvka66p9/1pckNPTvb5QtLCxejFGj\n8P332LMHu3Zp/BpawaFYlbRGNflUBYWLB8ntJFVFkTZDbvQUg5zymBBmLSIUDG3Kir+Mw4Ij\nCnjlFQwb5ttUhpXyThQOksxmcGVAqbi6lQZRO/HEYwr3kwWHlcKwEhxF2huCiJVbJ2KRBYfI\nzp6fj+xsjB6NBg2MwWiAyF4Gsywg5EZc/O70wYwMO6OIeRxvZeFQDjPLVllweL2WqlfpisTH\nFSFCg1eyaYsOJjfXb6Bp5USg/QsWqHvMFgjl0uSDT5401vnzFqZW81qEvygqKlxQjxsuC58I\n3C4oXKME/g2RKJioYLCoz+bBGKRGwCNlnZfbrpMnjfPbNHryf21cvGKYkf3X6el49ln89dd5\n3qfohgVHFPDVV0ZyCEJ+0sSKYqLVo2SLysPp8fg9b/Cfigld61/kptLBWFk4rDr7UA6k5NCw\nqEButuSEE9nZOHgQOTnFa7YUl7PcCovfRZGScpsrxKu2CfaaQiPN0SEe66BR2camrZNiU5v2\nwNxVC1eLkNTK2NRKXljdN5nbbsMffxiFIZe86NVg0liQnhT6vcwuFaGllD4sLITLtvHmm7jx\nRt8do8ZKaXm80rRYs/cEJgsHTDVN1B+vND9Itn0qcffaoFElHISwiicVs71ISX/7Ld54A3Pn\nnu/timpYcEQB2laS9hw5YiRNEo2FeETFZ2EaF8J/1AuLvsS8WaT2L3JTvijGCrnJEwlMC6Rp\nnzShI0AUr5li+pK/UfygSiOrtXtpXSfisDNn/OwlciCIthbl56u5TxTBoQRtaPUH/N3nkCwf\nyoNA2LtUtEfSOPiNN9CsmbFSl3JDzDfZbK1RLBz5+X73P1zY3w3nWLYM333np73cuhlw9i4V\nswrRjojc/gFJWheJVk/bHG9l4RB1kh5hqi0BZogprbDgiAJEO7V0qW85BtFakXw2dyRKs648\nJFYulUAsHPYuFfsYUkHkBExELGYLB+BbDW7yZGPdsiJRelyt4JA3zb87fYSmPineOrOFgz5F\nyZoAZGX5GbHNakb0NFqThqI/3KbcuLI4g8l9Ln+vfDyh7WIVz4jymj5+/Djy8w1nk8ejPpJm\n4784gH4+0R2KOynufG4uvv02PMojXBYO2ecl9KL8syrCV9YWVirEa4rh0NZ/s50DAbtUArFw\nEPQIk9Qo45NjWXBEAaLS33gjnn9ebSWVsZHs4JQ3tePFIl0q2mdP+669hSNwOzYj0AoOsm0s\nWYJHHtFENSr861+YOFFv4VCqjb0pizZJ3whzt5WFg9KVisO2bgWkdUbMgoO+lFZsh7WFQ5vY\nUdEfsJguCwvBYY/2SLMX//RpI4WG/EjKvdrJk77AFAr4VSwc4l653Zg1Cz17YsWKQAsZRMJl\n4ZBbFZuE4kqTYtMMKoJDW7fNUoPU3sGDRRtuFf+XeadWcIg0M2fOlN0FVlhwRAGewoUlxQrp\nsJ4Qq3QD4llSHhLFpWLlQwnc4FHcoFGmSOTQ0dxc426TS4XyB1BaMxvefBOTJ+tlovzbwdT+\nKoKDEOvL0LsUY5iTY5Rw40bjSEr4IWqgUABidSvhR4CkPzIy1IqktZx5LIJGA7RweL1+Hap9\nF2tj4ZCH1263scKtuG/Kqhx79xr5rUXhT53y6xHF2kYej6HqyBASYsI1BpDrniI4bMKPrBo6\ncaTSQtpY+MTrZ59FixZGuLE2UCNAC4fSusrpR/PycPHFeOSREt6raIcFRxTg9Y9yMjuMoTNp\nKJtKax6ghcNmcKA1Npo3rYJGmQCRWysUCg4yz9q7pTweZGT4woqFhUO8C6kWKe2v0lLL0iE7\n29ik4KHTp404ZWGioJGcUpdQmOZBiQcUXYv4eJFBo7LCcLvVTykTBMwWjiIFh9alov2IuHvC\ngEGkpRmvxYwY4fekYqxaZbymTTEPyONRHUmhJFyCw2zh0FpPtVpBKzgCsXAoO+lTBw/i3Dkj\n8422WTPLDuUtrYVDThx88iQOHcLu3SW8V9EOC44owCPNChOtv/KkKQrD/HDaWzgUL6l2pOv1\nd9J7/YME7WM4ArdjMwrKFBt5SdXcXPz3v3jtNf0HKQ+EyAZhM0yE/6+m/LLiI8IyrPSmylKo\novdVQueEE0TrpxPCyBy0oWxqNbHSuMuCQ+mKzFXRavUQrYVDFhxuU0o0QghBcWblxlKUaHa2\nkVpUBI16vUZvF5YIp/C6VOTfUWs9VapukS4VpYVUfgLFmUL/ybAkVkKB1KyZbRs2xg+tVqbT\nksMxOxsZGUaG0zIFC44owCtFXCuGDfg/YzC1feJdreDQWgVhas0DsX9YWTjYpXKeyI4V+C9H\nmZ+P11/Hm2/qPyjSdhXZ4MK/0TSrVVkiCMFhlphK90CmaSUHnds6aFSxiCiaWJt9TtEfMFk+\nZJfK4cM4dkwjIyZO1N9AGwuHlX1I6AlvYcCscoC4FXSAGPUqFg6rxV8cJbwWDrpFwgFndqnY\nGDNgkg4BWjiUR4OmOpOStglNK1KLaAUHXZpID/Pgg2jbtsyNxFhwRAGK4LC3cFAtz842eiaR\nlsPG72i1adXxaPshjuFwFMXCIQTH6dPIzMS5c5g+3fcTADh2zOfgKLLBhf/PZGXhoE3FZAKp\nAii+G9oUg3VxcisThdbCoWwqJg2zS8W8iqy4/LVrUVCAc+fwzTfGwbKryEyRFg4rlb9kid8l\nixfp6b6bL98EEaDj8U/cHhbCZeHQGjOUaikfrwgOWuZNa+FQqqVWoNB/ajNp5nPgFg5CqRgw\nWd3kPH4FBdi9G+npZW6yHguOKMArLUUh2ix7C8fJk4bLXKQnsh8+akWD2aShCI5ALBxMUFAi\n3oXgoJjNmTNx771YsMBISLpmDerUwVdfAaaYCXvBoa1Lyu/u9aqra4pqoHjclCpn1ZcoHy+u\nS0XbuGstHO+9ZxygzO5RRpmKtlCQnz7l7on7puRmFS+WLdMLDmHwEBYOWTuGjPBaOGRLnrZt\nUaquknht2zbfWxRdpLVw2AgO4QSkhBna6qeM7uxRBoFyMFZBgS+DcJmCBUcUQNKbJtRt3Gi8\nkE0dkCr3mjX6M1hZngmrp0sZHCttPaEVHOFqvEor4vbKzVZ+vqE/qEocOYJu3XDzzdizx2cf\nNns6bASH1qShSARYTHGSbQmw1riKsU0+uWLh0Bo8lLJZuVRkC4e4XjGaFAcrukEhcAuH9mbK\nLzyFcSriYuUPFkgzjWVBGWLC9czKtUss7K61cMg3be9e32fFTlqlT557DKmmQfqNzC4VUWdk\nl4q9+gwQ2cIhLpA2jx3Da6+FZ1JSWGDBER3k5mLtWt9rWI+utKYFK8Fh71IxawizidJ8MEsN\nR5Gbrdxc43ekGaqZmdizB1u2qNlIZXF5PhYOcbDyi4tWWzGEyK25KLPXP5zIbOEosk5qRbDZ\nLqK4VD7/HOvW+V0sTN1VIMiCQyRxsnoGlVukqCVIj5KiioqVSTa4KM/v88/jhRec/UYbC4c2\nlln+xb1eIyqCdtJ0caFNRSpYmOq2UotgcgIGXiWKRDbCidabNmfPxvPPY/HioH1XhMOCIwpQ\nPM2KM1KxcGgpUnBoIzzsDR5KY8qEBrnZEqGFFPp+9iwyMnD2rLoctvxba+3M8P9NzVYEpR/V\nCg6zx416TZp2Ad2C8pAEhLkztnLzyc232RFjNUtl0SLfONJcY+U94lHKy0Pr1kbAh9bCsWSJ\npXpTJJqiycSzLAqvdbWEGG0b8vXXmDfPka/LysKgQdi61fje9esBqZIoNVDeSaqCdp4+jf37\nfZvK/x07jA+i8GGxj+FwNIBGsXDQpdFEFXp+ywIsOKIAxUuteDSUxk6L1UDQvnHnONAIRB5b\nC0khpvNlZyM72zB4iPG3ttXWWpi1QRvKMbCoD2Yps3IlACxd6lcMK8FhtnBoRbCiesV+mxgO\nKpVsMzBbOI4f1/TxBQXYvNlnWVQ+ApOFQywub75jiqhS3Eay6grjw6UVHGQncEIAbdiADz7A\n/PnGtVOnq6Q217pUZBmhSDfFqUfF3rgRADZv9r0F/1ZUWDiUcwYXeX67cN/QVWdm4tSpMpH1\nnAVHFKA1w4q2jByWv/7qW17ZTFBcKkozzYIjjCiefhq9nT1r+IYpW6Vov2wsHFYuFaXhpk1K\n4A1TbdFaOMyQqUMYk8XJtfNdzd+imFuUmmyW44oLRo6KMKvzxo0xapS+2NqYJFEG+ZLlSSjy\nZ2EtOJT94iaE0WpovtKjR+3alhKjhGvQPRGz6uRf2SpoHbpKKO8kZPsBxZYCRuotRXA4auGQ\ng1Q8/vOfz57FxRdj0CBHvjeiYMERBdgbtLdsAYBz5+wEshgcmAeChHbMKtB2IRyrEUaU9KNk\n4RANK71Q5qPaTDiEhYdF0bi0eBsKU6pbWTiE3UXh228BXWyHNteTuYSKMUARIuYYDsVwIvci\nojsXdTgnB4cP64utVH7ZpaIIC3m0rXWpWFk4IN1D5SaEEisLB5wRQIr3hO4JGaLcpmQtMDVi\nsqNEbMqrlmhRXGOKYU8xAzuBMOHQpVFRz5zB4cPYvh0bN2LUqNLspGbBEQVofdvFqpRWLhXx\n+CljglJc40sHioWDBIdY+VoRHErQKGHlFiEUUUtucvGuWDZW+SxVp9Wr7UpOZhj549o4QVhY\nOMx9ttal4vFfcgUWgkNGmbpidfDOnb4Vm5XbJZaVMceiam+veU8kWDjWrfOTO04IoP378cEH\n+t9dLFUot1dKiydMZZAqecmCbbWGPUcDaBSXCgkmeqDOncPHH2P0aBw44GABwgsLjoiGHjx7\nC0cgWLlUBOwfiS7cUjg9JMOsvCkaX61dWmmvtYERYlMxaVDlEZYMMdYMZGj466+GLUE5m9UU\njwAtHFaTWcR+ijQkDhww7IKytrDqZqh7E0c+/zzuvttn56AX5AjIzTUurUgLh6LVzFcXFsFB\nZUtL8+u2lQs5T3bswIoVmDIFgwYZU1hFhlm5UuXnG2WgiUWi6lJ2L0IxpJXMLKGEN4XLwkEP\n7LlzRv2xshGWAlhwRDTXX4/bb9cLjuJaOKxsuUz0IhomudlCofIQm9oYDtIQ1O+icOl5RaPQ\nGqfwH32isPLQEqkoXJUtLc0IVg0QpXhmb4K9hcPKpaIEjSop4Yl9+9Cvn7qShdUTYZ6jceaM\nz5ZDZV61yu/bzRYORUbYCA7xY61di7ZtjV45NCjuBvl1sATHU0/hlluM2apU2RYsMHpZecRf\nUIANG3ybYuk7Chc1F7LEyPNmlQksDiEkDv3i8pN79qzxGBa5CnT0woIjotm5E1u2GI+BMJhT\nlVWC5+0xWziYUoAQHIpJQzF4yC6V3FxDH1CssYDG6H/8YWzSZ5UziD5bTq8OWEY/2PP5534n\nN1dR+1kqVvOtRIetKGyF7dvx5Zd+e6wEB91VuXsT51yzRg0wVAYDivLwei0tHOIq6Cbn5+P9\n97Fxoy93SCiRWwkq8IsvGi+ohy4WO3eiVy9DnubmIj0dkyf7vuXIESMile4q9bjw7/WL1daV\nACU4OgSIJZepdtGDlpVlPNFpafj009LZVrPgiGjy8nzZCd94w9gpFuUKHHPQKFMKEL2d3Gyh\nUAqIGiJbONzugBYGozmEorYoiS+VLCAimLRYiM5YWZG8uBYOJSJEfKpI8/iKFX5mD6sYDjqV\n7FYXaTPMKOGNRVo4zJEoIvU13dVQphwVF/XTT+rOTz/F0aNYtQo1a/pWirHh1CmfeWzlSsyf\nbygnuUffuhWQ6rBiHAolStUKAaLikcKgRzUry3iQp0/HgAG+WdalCRYcEU1BgabRp86gWLCF\no3SjmDS0mUZLoDXte7tgeZqLOy1WG42kbLpNCcHMzJ3r964QOopRoaAAe/b4tf5i+Toz5Fux\ncalo5/SKF3l5vqtW3GShRP5lxbXs3WuY+q0WVT91yrB15eXh+uvRoYMhKUT1e/99bNrkO57S\nYyj5DMOCyIEb+tAZeWzg9RrGHjIjJSSEujAhgAVHREMDHbKBC0ogwz0eI/aNLRylEnnlaxR2\nGKLboHcjVmtaWTi0U3OLtHAI/VHcAMBdu7B7NzwedO3qt9/tVuc+nDxpLIxnRhg25NmzMCkP\nEcEqRrpinrPQVTTVqFhhMeeJKO2OHTh5EuvX++bjALj+er0RYsECvPkmAAwYgC5dMGwYqlXD\n+vU4exYdOmD1asOBMns23nrLzximJK8Li7SSCUtYGwkOMVSQf/Ry5cJQHqdhwRHRUDBzUBLR\nKLMEmdKH6BepERf2Cao/xfLBhZJiWTisgkatLByBPzvbt2PwYOzapclno8S7oKjnyEpniBci\nhZr4LrE4jhActORpydxV58nZs3juOVx2GVq29KX8OnfO0ATr1qF3b7RvDwCnT+P++/Hcc8br\no0cxcaJPOmRloVMnI/xz5kwjTkhAnau4k2Gvn2FR5NQsi2sn5UEjzFIpOOLCXQDGjqCLbhYc\npRjRq5HgkLNaIYJ/evugUbPgCESXFBQgJgYAZs8uRkm++w5PPKHZ/+KLxTgJgKNHjW8X0ziV\nBGsCciug8DfKy/PNDqX+OCsLR45g6VLcdRdcruIVo7iICiPsK263n3uFYjveew8A4uIA4OBB\nQ43l5OC335Cba+eVUEwjIj40QgilMUlBSDQ5cVl8fNjK4xzRKjgOHz68cuXKvXv3ZmZmJiUl\n1apVq2nTpldeeWVsbGy4ixZMgi44HMray0QUyq8c4Ws0KDYJK8GhuFSsYkuVsxU3E5RYak7G\nPpWZGTHpUdgnhJ1AeaLFAWJyCr346y/jMnNy8MIL+PhjJCejZ8/iFaPEjB+vH15Pn+57XVCA\nQYNw6aXG5vbtpTl7RIihOswWjohg3759Q4YMWbhwofmt6tWrDxgw4OWXX65cuXLoCxZcVq9G\nrVrBD2KK8L6HcYIIT0KvxHAU6VLRWjjMKctK9uw4tG7nX38ZL+wn3xYUGAeImca5udi7FwB+\n+cVxwSHXk0BGJj/9ZCylC6BdO0eKVJZhwRF+0tLSOnTocOLEiYoVK3br1q1Vq1Y1atRwuVyn\nTp3aunXrt99++8477yxevHjVqlVVq1YNd2FLSHY2tm1Dp07o2DH4XQULDibSILeC23+BUPHC\nasUW+9mzJRYcYnEvh7DKWk3Oe2EaEUnVcnONuR4lmJvmNHIaLibosEsl/IwcOfLEiRN9+vT5\n9NNPK1asqLx78uTJm2++ec2aNaNHj3777bfDUsIAKShAXJwxoCHH7e+/Y+NGuN147jn8/e+A\nNCoKIuxSYSINZU0NJb7S3uABCwuHOFu0ILJtKquuHD5sxDr8/DM8Hhw7hmrVUFCAnTvRqBGS\nk4NZhgi3hJU12MIRfhYvXgzgrbfeMqsNANWrV3///ffbtm37v//9L0DB4Xa7Fy5cmGObcGDf\nvn0APCVtwPbvR+/eSEpCpUpGLrncXOzZg3Ll4PGgQgXEx+PECcTH+8y5H38MWA+Gzge2cDCR\nSZE2CaUnliMcYdIfeXlG2Ga0QBMTzp5Vn1DKPR8Tg8OH8cADmDbNCB31elGpEpKTUa0aMjOR\nlITKleH1IjERR44gLg5xcYiPR8WKyM/3zbqsVAmJiTh3DkePwuVCpUqoUgUAcnOxf38JM8Yy\nDsGCI/ykp6cDqF+/vtUBzZs3B3Ak4GT0S5cu7d27dyBH7iVXavGherNzpxE4FheH6tVRpw4y\nMpCfjxMnUFCAhARkZCAhAbm5cLl8iWiCDgsOJjIRycitsHpX62HJzo7KGEavV7VB0lCoY0es\nWoVp01CxIpo3R7lyWL0amZmIjUVODipXxvHjOH7cSCNbrx7OnoXXi6wsuN2IjUXFioiJQUEB\n/vwT2dlITkbNmigowMGDRqaN+Hhf5hImQmDBEX5SU1N37dq1evXqa6+9VnvA+vXrAdStWzfA\nE3bp0mXevHn2Fo5JkyYtW7bsggsuKGZhDerW9U1+y8+Hy2XMKKNB2LZtOHsWlSphyxZUr47P\nP0dyMt56C6mplhn9zodQZkpmmMA5zywIQo5EbH6zEhATY4iA6683cph+/DH69cOZM7j1Vjz0\nEO66K5iGHKen3TKBU64cSteES4MoExz33HPP6NGj77vvvqlTp5o1xy+//HLvvfcCuOOOOwI8\nYWxsbK9eveyPoRkxMcF4suU4IBKwrVsbm61aAcB11yE7G5deilat0KbN+X+hCgsOJjLJzw9O\nC1ualkGuVs3Icn3ZZbjtNsTFoW9fAKhSBT/+GN6iMc5SKiNGEXWC49lnn12xYsXSpUu7dOmS\nmpratm3bmjVrAkhPT//9998p2KJDhw4jR44Mc0HPg8RE3HMPANx2G+bMCfLJ2WrKRCZnz0ZZ\n1EUIqFXLEBz161smUw8iLpdhKKpcGbVqqYlBrWjSBLt3O1qusggLjoigQoUKixcv/uCDDyZN\nmrR169Y0f69DSkrKww8//MwzzySUinVvhg4NvuBgmMjE6y1VxomgkJpqzImtXj0UXycER1wc\n7r0XNqM2mmEHICYGr72GrCysWoX//pfHM0GjVPRgGqJMcACIj48f85qyHwAAIABJREFUMmTI\nkCFDjhw5smPHjvT09Ly8vCpVqjRt2rRp06bhLl0wKZVBQwwTmdSubaypdsstmDvX762kJGRl\nhWHWaOfOWLwYgDGXJGTExKBBA83+SpWMVT+efhp79+KLLzB/vpGO7N57sWhREWFnQtAwRZKY\nGO4SOEP0CQ5BnTp16tSpE+5SOEhqKsqXR/36bLFkSg638gEyciTeeAMHDmgER8OG2LUrdDls\nRKwoxb4nJyM0mZNF0GhMDMwh8jVqoFs3zJwJlwvDh+PoUSQm4qqrfAfceKOxMKwV11+P774z\nvqhaNV+691ASyY9DbKzPyFdaLRzsNY1cUlNx8iQeeyzc5WCiEJGnprQ6g4NOUhLq1UN8PMyj\nmJgYvxkczZo5W5JatYwXvXohLg6XX+7s15mJicHVV6NTJ7+dXbsaK6c88ABq1MDFF+Ojj1Cp\nku+A0aNhna8APXr4OtHrr9cImtBAMwQjagKIqFrVqvk2S+tjy4IjoqlQIbKeDSbySUoCgJQU\nYzPwlquM17S4OFSoAF1CQcTE+AW0Ot1Z9ukDALGxqFEDH3xQ7LVqS4xs4XC5kJxsdM9EfLzh\n2aldW//xWrXwyiuq5pgyBbTIxLXXokYNY+c114RtCi79jlTVtWWQJZTT0LMpFuFITQVgWLPY\nwsGEhzLeDTDFhZp1EQBEjZq2HxVQvyJ6l7IQPJSYqF5mxYr417/wySeafkixcDg9+qSOh4p3\n//1+bgtHkQUHgIcfxqhRvncbN0b//ujbFz16WJ5h4EDfCnOkSy66CJs3o21bdOiAd99FjRpI\nTsY//hHqGUkiBzx9r/m/eBFKwUG3iMrmcqFmTQC4+WYAKF8+dMUIJSw4Ip04/zCb0mpqY84T\nGhK5XIbjXzRY1G8pAybRyFIfQ6JWERyhqWnhEjdvvOHzXAC47jrcdBMuvxw33aQ5ODbWT3A4\nVGbxo9CQN4yyj376Pn3w/PO+nSkpqFABs2fj6qvtPnv55WjTBosW4dtv8Y9/oE0b1KuHDRvQ\ntSsqVEBCAurXR2Li+QqOihXVhtEM2WPITyGGbfS99FlFcNAxoWxg6Yem/wkJRqAu2SYvvjh0\nxQglLDgiHeW5uuEG40VptbkxxYX6Qoo8SEw0XCoVKhjvUgNqJVupV6OmVozjaZNaaqcJVzVO\nTMS4cb7NlBTfLSrSwkF3OOiIH4XOH3rBIa6xWzd1T7t2uP/+gE7y97/j99/RowfatsVbb6n3\nSjinSmy4pYodH+93BqV6U7G7dAEKLRbiYFlbKyVRZHcIoEfsggvgcvkER4sWuPPOQO921MGC\nI9KhZiglxaidIl494GSq6qmYUgZZYlu2BICkJDRpAgDNmxvvKoKDptspozradLn8BIeQAo42\nwaHJMGEmNhb16vk27R+NhAS/zvipp87rq63up1AY1EmHXoqJaxwwQH2rZcvgtB7lyxvnKYGF\ng4on7hLdRtpJSaeFuKGoXnqLdioWDrnaK89CaAQHPYZkg6lYESkpKF/eyDrduDG++AL/93+h\nKEboYcER6dAD0KmTMV1Fed6KRWn1C5ZNRIfUqBFQaOGoXh0XXQQADRsa71KFsRIcSvsrb4o2\n2lFNIMoZdOrW9XOaKCgdXtu2vteKhaN3b7+ZYpdccr5lFj23IinEZtjDBsUdEN05rV99/vz7\n3xg7FiiskMVqkei+0UdcLqN+3nYbUDiv56KLDHlB4psKT7IyNtavVstzVULpUhGh3PQT039K\nLd2/P/r0wa5d6NzZwQKEHRYckY4YECjPQwlskhErONj0UiyoiRQuD5IaLVqgZk3cfbehMETo\nO/VbQnAo0wLlVlhYOBRTswi4cwLnHAe33w6bNRwVL4k88UQRHI88gjvv9OuDleoqbtQ77+jn\nhSqPqtgUbi/qL8XjSTc8jBYO5UVSUtB+pj59jKjSK6/ENdcElElZFIbKoMz3FvoDUgCTbEQR\nQaB0pBwfrdRz2umoJ0sIDnpBP3SlSnjtNbz5JgDDPFmKYcER6YgYZu3jUSwiNnsdjdGZIqE6\nQP2TSBdBrt+2bXH0KEaORJMmRvIGskzQwaK2KNYLRXBoLRyOjvyc05rlytl1HooIsJmlKZvu\nAcTEIDHRTw3064eOHQGgVi2jV6N5rQLlGsVvIUQhdTNxccZbNPANeMXroKGEEovXTkxhHT0a\ny5YZ+iwuzreGpZnYWKNg1Hy1a2cUiYxSQmrIyDuFu/DCC4FCPSGHLiktqqM6LyHB+Dr6idu3\nR8WKpdZ7ooUFR6RDJsGYGHXuotKK0WKzVtBTJ0ZUkYPiRmUUlD6Auiia+Fq7NuLikJKC/v1x\n++3o2NE4pnt3ZGQYbRkKxZwiOKxcKnIbrRzTsKFxwqA4ucXJqRo3boyhQ4NwWpn4+CIEh9xL\nWdXAmBijU1RyVMh2o5gY48kSfXOHDoA0VhYvSEOIx/Cyy4wXdDaSMgDq1EG9enazTx3CbOGA\nw9Py6eTt2hl+QG15hEmpa1cAqFTJT38ogkPeVN6im0xfRBpdsfaRLcRRM3BcHMqXh8tluH5a\ntUJmJm691cFvjDS4pY90hEKnCCPFGS+gNs4Keqgciq4/HyjgMVxZgCIZeSiGwtaQzF0kOypU\nQEoKmjTBFVdg1iy/7NdUN6iZJs+LEvqjWC9EHdNaOMRMQvqsEvQXYIck9LEyjhTnDLoxuVw5\nu9GqUmxZcMi1cdEio4tSclTExqJ8ecMj4HKpM1zo5NdcY0R2i5Sdf/sbADRoYIT0KvOQXS7j\nV05KwqFD5xuaWgK0gkPxPQUXuvCuXfW1iNorl8s4TK7h2qIqO2XdLLQg6Ql6gpR4ahraOeRS\noTjW2FgkJiI+3iiGTWLW0goLjkhHPDY0PBJtKAVGKYdZQQ9VgwZFJIAKPWJoCCA1lef6+lA8\nytTakhtF5AtasgQzZlieQfZ5i3Gbdiqg1qUi4vKUTZK2yhmsEH1Aly5GeSiv0SWXGOJJGAmC\nZeVKSjI8GvHxRu264grNYfHxAVk4hNdDERxUYNFhKG4XEZlI2RT69sUllwCFrhYxZBcijF64\nXH5xBqFHKyyaNkXjxk59Y6NGGDQIt96q93D17GnMD6LbWKT3RNm0OZ4QhiWqJ4rEDy6UzC0u\nzvDHXXghqlc3hltlChYckY5i4ahXz9gj8gQT9u0+NWGVKqFFC0cKWWJEUysTiOwo9dJEERyk\nGygso0MHVK+Oyy9HkyZ+czsVqPciC4cwbgUSNGqvP2jUrjhczNB+8TP16GF0zzTlsnFjXH89\nIFWAYAmO1FR07w4A5coZ1/7kk5rDlAgJ+fHRDpoFQnDIwQ3UnYjjhRdG9Hn08AqrpOzIh3QT\nypVDXFzYDH5as8GWLXjnHae+MT4e77+PK65QjWpUbUTEA0V4yMWT7y1sZYf8EbGTfkSxIi6F\nDGtjlc7fw0JPqPDBVamCSpXwyitISyuLwfIsOCId0cBdey2WLMHgwYY9VmmVAhEcsu03QpCH\nhqJR0C6NrSBHp5cy5GSIJDiEd5+6qJQUnDiBQYOKOA+tDELDU9FuBh40arZwiBEhJCUhTiVm\nNBBU/nr1NL2FvCku8PwFB8mLhASfUefBB/Hkkz41IHjvPXToEFCkgrkPFgMA+b+4G7RHhEBa\njbwpJ1VKipFiS3ip4uPD2Qn162e8CP1jdfvtAFCzpi/JKQorpFZbCEpm4aD/pAKVak8FEE2Q\nLExtGk+qAPR4CrsFTUWh/3RAfDxeegmvvAKXK3JD+B2FBUekI4+ounXzDYCUBtpecChdSOQg\nN9+waCNsPiic36UJOXOGCKeXW7QAl3t4+WVMnuxr6churIQey5JCycMh5KmoM2SToGOSktC3\nr3Fmgl5cd53hwqD2tHx53H23cYC2byCVcJ6Cg8o5cyZiYlCpEi68EC4XGjdG5854802NkVxZ\nfS0mRrNCrFxI+QX1UoqFQ3tp8n7lmRWJq8mvRNZKsu2Hce76I48YL0L/QNFc2Xr1jLwaZCLS\n3mTxOkC/iXKAWS+KF1TPlbw19IKcmKRchRahB4qKKrLgQLI9y6saibCqvn1x3332N6M0w4Ij\n0jEvbKh9xrQDIyHPrbqQsKNcXSCCQ17EWf5UqUHOTSQEhwiva9/eWCW8SLp2xT33+H5xispU\noge0Fg5h4acXbdoYm8IaQZskLIT6adQIAMqXN/JiDR9u7Lcag9ILEjHiq+1/SuGDINd+794A\nkJqKnj3hcuGii3DbbejTBx07IiPDtyqK2ftG5xHf9Y9/oGlT37vaquVyoUIFfP+9YVhSrPrK\n1ZmvRekdlRdDhqBKFcTE4LHH8MwzdnfAUYR5JvSOV7oVYi6e7ONT5JrLpf+B4H9jYVHx5Nfa\nWGklqIg25Xgj8eyQyJDDbpSHSw4KIcFRFpZFtIcFR6RjNXFUaZqvvFLzWRqNQRrC0oMROfNj\nlUhyeSdhThaptWmXDuQ2TrS89Ee95rXXYv16u7gNM0JSyBZjZc6IcGzJgzyXy9Ao1P1YtfsP\nPGAM8l591Tgn7acwySKFsqiZ9GLMGFxyiXFM3bpo3x4obO7/7//wyisAcOut+Pe/8dBDmDED\nPXti6lRMm4bly1GvHr780pjcIQdH16+PCy5AvXo+X6SywLqNUUEp7XXX+aZOwNSZKX2heb/5\nXdoTH4+4OMTEoH9/PPecZWFCQ+/efvNBQoZsz5DrmI1igL90ULCRHdqfQ1Hbsv6Q57MoiQnM\n/4URmjbpyaVqUzbdKDIsOCKdpCTExfnFM8vPmIj217YRiuVcWDgiR3DY2EKpW6XrkqeDWg1i\nolp8KPkwII20YmMRF4eLLkK9eiVJ+ikEh3CFwGThECkNaJNSJMXEGFJDURhKapDEROPjWmMV\nrFt8pWuhj6ekYNo0fPkl4uPx+ON48EHUqoXffkOvXrjlFnTtiquuwhtvYOhQfPABkpKwcCG6\ndkXVqnZruCcnY88eHDpk+IDeesuIa9EKXAW52HLVUmILlHtidRPMY3T5DBGSjSZcTxDdAZfk\n3VBm5NqrN+iqqPKu1X/5S5XnRV45WZYdQiLLBwgToCzuaWfjxuje3fAclWUiLIaQMZGcjG3b\n/GZsyw9Vp06oVAmrVhk7y5dHTg4ADBuG8eNVT6Sr0CquJORwueD1OnsVZuhLbcYfZKun15Ur\n4/RpJCbi1CnLQXNYruL8iYmBx4PYWON/fr5q4aAEGG+/jddfL4kvTGlAW7fGjz+qaTk6dcKv\nv/qqh1iKQtsuK72m1o4tMHfY2j44JsYwMyQmom1btG2LXbtQvz5iYzF4MADMm2d8asWKYt8B\npTAivbS5kOZNRUkox2gH3/A3wsH62mXlIdKchJHwinWSF+bkGVqFEUQLh1KxtUtJyP9F6LTs\n9FQSmMbGwuv1SzlToQIWLy72PSl9RIaoZmxp2lRji9M+Ld2747rrgMJBqjm/ZMWKiIszBsra\nNcoRqnZHHs2b+7AA/8sFjlILh2y5lcdYsuCgpBElmwmsBISScat6db8BHGm7mBi/HBva1h/W\nA02l0bfqjLWfcrnQvTtGjTJqL4AGDUIXaWRTZ6ysDkpHaBYQypmL1GrXXqv3ioaeSLNwaLWC\nedO8MxCpoRQAJu+zLDLk/zSlCDrBQWJFODFJSXP0BsGCI/qwH0rKiSDNFo6XXsK8eWoSX+WR\nUFJJygsdmb+3xJiDYQWBy4uojudQTLjwb/LoV6Bw0fOZKinOT3eGTtWokeGratTId4zLZezU\n+lBc1vZqm6Fn4BaOqlXx0ku+FemcwMosEaCFQ7lMc18IqLfISpyZ79KMGRg/vkRXFTzCbuFQ\nBIdi4RCYy1mktrA5Xpxffu4UPUEtpBAcVFRZi5gtHIrgKIMpN7Sw4IhW7NsyuXeB9AA3a4ae\nPY1FHITVhF6IAbQs5GFKwKdsKi2s3BvZt1/a8avVRwK3c0QFZnuG+b84JinpvKZKCsezEhNH\nmyLjMkwtr6IwiuxEtYYQmH4X88dDFr5g1QPZfHsgLhWrHtFKJbt0Fo5IIBIEh6y8lRurndFq\n9l4pKLdaexL5VOK5M9s26DEk44cSw0H/6TCyStJ/FEahRU7YXHhhwRF92Mt5eVNICsVKce+9\nQGGCmpYt/R4nmAQH7Rfv0jnF86P9LD2K4gxKg04he8VyqchXakZuRCIk8s4KKmQggkNYOO65\nB3feWfJvJGuWyOQtBnBmMaHsNP8c2jts7m7lK7WxcMj7Qyk4zJvabyfDkojSNXd+Wp3hMhlC\noLt1kSk4lM47xFx8Mdq18zPyBa7nFAI8QKnnSh4OWUPIZgwyXYiYG7NLhdSGEBy9e2PoUHTu\nHMAtKANEdvPMWGPfltFmpUpG9L4iOC65BN99hyeeAICWLY1OSMwkVBSGiOYjFMFBmyIKlTZF\n0id5Z0qKUTZZlBTZV9n/D28TWSwCkRpyuKgQHP/6F8aMKfn3pqZixAgMGOBXAK31wjwKDGRT\nuUDzWDNyLBza8sAi+uTee5GWpk6gVY4x94j2+21mqUQC4S3G6tV45x3Vw2hzb7U7i2wirFSv\nOJJSCVCOefg3hooBQx5WyQeQFhGKpFEjTJjgrK8wimDBEX0oAymbRw7wiw+VH7PrrzeegfLl\nDWF+443GW6QehFwgbaEoDLFJLxQ5Iv8Xx3Tu7Bcdogxi4N8QyxerlNyqjY5wO4csNWRhocxJ\nEa+VjIclxuXCmDG44gr1trtcGpMGYaUwxAmVzSIbfe3HxR7RdjuNVZG0tSUmxk9tmE0X8pXK\nL7RSzKqbjEDBEd7CmGup/V2yERA2R9pU+0aNUKECqlc3Gitqu2RVQWpDq0jEARTorTSDDHha\nbDRibvhg8ciJdxULB0GPh8imTGmR6tY1EvSKxB7KY6MYPEidKPpDZNFOTER2NpKScPy4L25R\niQY3Y2W3sAoRDTxwJPS4XMYEubg4zZRXWIsPeYn5YJUE/hYORVJY6Q+lLpn9AvKm8nXmPebD\nEhLC3Cgrqs6mu5I3zaJfe5j8gi0cRaJkGpWxV3WQbqxW8lohPiWexx9/RJ06uPlmuFx+7ZtY\nVDYuDgkJfs8pvSUER3w8YmLwwAOoUUNdZbOMw4IjKjE/b/Yhe8rEE0Lk5KCHigwelBYaQK9e\n+OMPwMKGIfwv9K5wqVBuLrHeROfOWLwYnTtj3z5ffyb3fHLh4d86aDu/Erx2mpgYeDy+76Xk\nIuI/6Qzh0LW3bcjRG+XLo06d4iUVtcfc5yljO0VSmBWGfB7z3TabLuR3zQeLF5MmGdnQnUb7\naNSsGZB/Xbkum5G3vN9Kk1kdEF4ioRiyCrdSdTJFVlGtXFbioAnxJFLO/goVUKmSIReoftIS\nPElJxspE9JxSjJSsSxISULUq3G507syhGyosOKIPrYVDeVd5SoVzUUZYOEhDkEqoUMFIHUZp\nratUMQzLrVtj7VqgUHA0aYLDh7Fvn6E8WrTA/v04cQL9++PXX9GrF7ZtQ1yc8aCKKFH5mZfX\niVWuK5DBsdnCYSVQSgBpBVlJaKED4uORm4u4OBQUIDYWBQU+Y4b4L1YBNUdpmMWH2L91azCH\n/jbG6hLEcKAoC4fZTKI93uXCPfcE7Rrt0fbuPXoY2Ue0B9tsag0VVn2k9k66XPqeL1zUqYMG\nDXDRReEsg5xiS8RwmKWDjdrTvtaiaBHFDPz000hPx403IikJjz+Oq69G+/Y4fBi9emHvXlSt\nisqVUb68saIbBeDXqGEsjzx6dFQmIQwBLDiiEvMoyt4N37MnvvvOMD8IGjVC5cpo1Qp79qBc\nOcPCkZSEc+eAwpUPe/Y0+rz778dHHwHAhRdi5UokJxt2i1tvxcqVqFEDLVtixQrjK8gDKqZi\ninAEuajyAlo2YxfzHivxYf/ZAImNhdvt0w15ecYeWYJQ+YXUEP/pI0JwxMcb/7OzDb+vq3A5\nNCWmXfkvguGV3+s8KdI7rsxtthmOm4f72tfaPfYyxVGsFI/2MPNOeb+cNML8MFp91vzMyj9K\n2KleHfv3h7kMdeuiXDnf8rklEBDw/2UDmQFHL+TATwD9+hkvaBlCMnu8/TYAXH01XC6cPIlh\nw3DxxbjkEuOzNWrg0KFiXnAZIyoFx++//75o0aKcnJyrrrrqelpuUmLs2LEARowYEY6ihQL7\ndlO72asXrr3WiNIQpKTgzBkA6NwZw4b5vCHkUqFnPikJf/87GjVCo0YAcO21mDwZycm4/XZs\n24a9e3HNNUBhnFRMjG9lAXJkyoHcQnDQTq3gMPcBVi4V8/+g2Dbi4uB2+8wVYo8sQehCyKpB\n/2HtKxFT9mn6viw4yABrXqZBa446f+Sbr9znQObB2ugP+SSw+DmK/HgICOJ3uawtGWb9Yb6T\nYr/sSmMAPP44+vfH9u2ARVXR1jqtS0WLzaluvhmnTgW0FDM9rbVrG9bfrl3h9WL+fHTtWvRn\nyzjRJziGDRs2YcIEsdmnT59Zs2aVkzLHvvjiiyjVggO6drxIuzet3qklJQUpKfB68fbb6N0b\nmzYhIQHt2uGii3D11bjiClxxBbxejBmDXr0QH4+33gKAjh3xwANG05CYiKQkVKjgG7snJKB8\neaMlFVEg9spAuShzKGggg9Hz7MaUWAoyTgiPiRAiMTE+qaFdLlK8LlfOmIVBskOe3E8+LDkR\nYZy0tF7JEpnbUFyXCkztstU43v5uB6iMQ0CxCmC+RkX1am+X9s5YiTOXC02aoGbN8KzOGpm4\nXL68+9ppsbBtDaz0hPZXVn6dpk0xeXLJi33TTSX8bJkiygTH5MmTJ0yY4HK57rzzzpYtW86d\nO/frr79++umnx4c9LXAI0XYDVscEPu53uYzMHI0bo08fANiyxe9drYS78EL861/o1w933IED\nB9CqFdq3R4cOGDwYNWsiLQ0AmjRBXBwaN9YIjkBmyZsv2ea/cnxxPalWWTGEhsjLQ0yMRl6Y\ngzCEsSemMDWhMlOubl2MHIn69TFokN+ak/Xq4fHHceutxSt5sS5NERxWA3FCW4XMnajNeLTI\nw0JDgN9o80AJYvxXizVrEeVTyo0VL555Bk88wQttqCh5OAKUDsqmtgaaZ7pZnYRxgigTHB9+\n+CGAMWPG/POf/wTw3HPP9ezZ8913373//vvbtm0b7tKFCPNDiIAj+4JObCyef9543bo1AKxf\nDwDt2gHAjh2oXh3duuGvv1CjhnGkeUKszZNvZefQyguYGpTABYeI3oBOPQgNkZ2tCg6z+JDN\nGGThEO8mJqJyZdSujUsvxWWX4dlnsXMnUBjlLpwpTuhnOW2Ay8LCQdgHjcofJOybb62aNL8b\nAqwUUoCflY8kk5Uyndgs4xTdrwgOOcKJkRGPoVa9wVocm7Efj8H0yzKOEmWCY+vWrQAefPBB\n2ixXrtxHH33UsmXLF154YeHChWEtWkiRH8JA1H24wuCbN8fTTwOFUdzmNsJmwGGfXcN+0FMC\nmUWCw2oWiVAV5B+xEhzm9RcSEw3DhseDVq3QsiUmTkT16sYUOwBNm+LNN9GwIX74wTeP3wl6\n9ECVKnYTDm0UhrJpIx3sN20OCAEBfmMgw1/yjimCw+pT4o6JWI2gxBuVYmrUQEwMqlXT61qr\n+6atmTbVMoxVscwSZYKjoKAAQFUpfL9hw4ZPPPHEq6++umrVqisjZIFnh7HpnsWY3jxajQSK\nFBn21gv7/+d5pSIgFNZKggSHHBsL3epNYr4xgIEDkZ6Oli3h8WDgQM33xsTgySexaxcApKQY\n7awTDB6MwYMxbx4QmMIQWLXOWv1h/riC1adCQBAtHMOHG/E9kGRE4BYOyv9bq9Z5XU4ppmFD\nbNuGCy7A+PH6qmL/Ixa500Z2MI4SZYIjNTV1165d69ev79Spk9j5zDPPvP/++8OHD//5559j\ny0bAt7lRM+8nIk1wKJ2c2K8cZvM6wP6MvkLMaLX/iNert2fAX0lQekFlYSc5Ezztv+UWNGyI\nm27C11/jyScDuvlNm2LaNFx3HYYOVScTBRdxZ5SuEdb6w5yWTTvKtKp4WoVhM051jmI9C1YX\nSFDuEK8XI0agd298+63fMVY3QWx27oxt25z9oaMdWsdYridWFcn+LZsfPYxVscwSZYKjT58+\n48aNGzx48KxZs5pRlQSSk5NHjx49dOjQhx56aMqUKcU6odvtXrhwYQ7lurJg3759ADz2SaBC\niFaeW01KjKjMQuZOTrF2yE++lSIxf9xq6myAkC4xO1PMC9ElJiIhAQkJSE5GTAxq18aff+Km\nm3DLLYiLwx9/oGlTbN+OgQMxdiwADB5cjGLQEr5BTC2qRb7VSuINgU3qAvOLklk4zKcNAVr9\nZC8s5J3aI2ldvcWLfcdo+0hlihCAFi3O40rKDOYWI8BPmY+3sW3IBzCOEmWCY8SIEd98883G\njRubN2+ekpKSRrMggCFDhixZsmTq1KnLli0r1gmXLl3au3fvQI7cu3dvcUvrHFaNuxjNi1ZV\n7kfDjlXzUaSFo0ijiPYYxc1kPp4SkJsFR6NG2L0bV12F7dtx5ZXYtQu3346VK/HAAzhxAu3b\n4//bu/sYK6rDjePP7C4Lu8AusIBQWFjkHXnzBS2gBopWEXmporZYhVKraWO1tk3F/kzAGrXW\nlPQP09oKTbVNX6A06VpNfUNqbRtpRDTKS6GBjQSbmkJbRSjI7u+PudydnTkzd3bvnpm5d7+f\nkM3dubOXc++5M/PMmXPO1NXpxRd13nlqatKIEaqq0p49evpprV+vDRsyffcEb5gIa3UwBghf\nW0XBFo7ovwoG5QQU09oXP0UZHw8frv79u3+oc08QkRuCv4b9uXH9sMQMe7JxIIptwIAB27dv\nX79+/ZYtW7wJwHGcTZs23X///Z1t4Zg/f35zc3N0C8f3v//9bdu2jcl380ub71ARvfGMHq36\n+tyE/6kLbu1hQy6NP73PBtf0Mo5t8cUO58zkod6zT/eayPnn65e/1KBBWr9evXvroYcMk376\n5jWZNEkvv2x809mS/9i936LoYSkx+5Aa/6Ow5U6gs1ECfNNaLmmmAAAYaElEQVR6RrdwBL+T\ncY5qjucevN6P6OGH9X//lxt2kZHmxpJg7O8Vtn8wJubofQtRI2ElFjgk1dfX33fffffdd59v\neXV19f33379u3brdu3fHb42orKxcvHhx9Dru+JeKzOwnjJtT2EFi7VrdfXdWTq2CZ9XBZxXv\nSBDcEwUvHvleLRg4XBWee7tMnKilS3XDDbmem+7n1r1TjKfL2N4QPSw25iG5YC7x/Ym31pIx\ndKgqKjR8eFf+NjpweNfxrpkfAe6drrtndDPrHm4fbVf0zsGrYEAJrlzwNdEtSi9wRKusrJw6\nderUqVPTLohdEeeXvv2446R8728v33RJCpmZ2CuiIcS3ju8/UviOxjlzMUWeA0B+WvEHH+zE\nOyo53haOigr/R2T8tI1NGt5nY7ZwGKsjyb38ihW67LL2sSGdOruN08KhwBBZX5uKdyHiqPDc\nsybYeVkxvlTR4YMWjoSVQ+BoamrSma6dPYF38/D1+3M6tlRnbUOKbuHwrqPwtxDdzlFwZ6SO\ngcNxOnQULfuzT+/UEb6EoZC9szF/hK0cnSSCMSXho693JGp0fg3m+IKBw3Fyt+jL/+od7uS6\n4QZdfHFXSt4zRbRwRESNiD1M2F4ibH10r3IIHC2p3+IwWb7Dtm/jSWU/HlMwcESMUomODp0N\nIt5A5nsdN2T06SPHyY1GKWPuu84fF30fTsSv6lhNTsdGDoXsuINf1KydXMYsQJzAoTO3Lcz/\nevXV+va3czc4dP3sZ10rZg9VX29u2MgLS4cK+boGv6vZ+Sr2BOUQOHoadwvJTxnpMg6LzRrj\nWbUiN/U4ISNsJjFjTHE7irrzc8gTOGpqtGlTbkb2MuZ+bSoCt8WKyB9xzikVaAgxfgO9tePt\nOpOKsG+dcXlFRaxv6d1369Ch9l8HDtTddxdf0p7rySd16pQ2bpQKfQ+jn/KuE1yBqJEYAkfp\nca9reuebUmATytR8X3lhp8URJxzBtxA990ZYBMkvb201HEfdM/7ly7vnbWaZO8flkCEdro6H\nBQ5X8JJK9P464hggz8fet68qKtSvXze+uc6JPq/1Lc+PZop+KfcG5e+9F/XKiG/cuPbHwY1d\nIZUY/AZGfFeJHUnK5IkwIrkbydln67nndPvthgOtSqGFI+ynd2Xf4+hjQ1gLR8TllXyR3MDR\nE8ycqbff1k03xQocYQ0ewXqUKZf4+Hbua9Zo+/Y05yyJ/lIFV45ojDF+FOguwTOEsKeCfxWx\nJlEjeeXQwrF79+60i5Co/MnW5Zd3WCjP1uid0zA7ogOHd7WCP11hLRnGtg3j33o7UfYQU6ZI\ngRFDzpk5JBQ7cLh8B4C84D7dVyn9++v88y28vaIZ387AgVEdisNacdAtjOcSBRs8Cu5b1PHL\nTH0loBwCx6QeNkuw03FknTH+Zzlw5B/LtDuI2Hd4lwdPIsPOe4Jzj/r+1ncE7SGqqtrbdTo1\nD5hCPjHfN9B4+pipzzn6MONb/utf6/TpAi9VcNJ0dE1EjCg4M5hiNKxSX4kph8DR09x0kzy3\nrsvx7fKyObwzOA+HcScS8xggU3+OOI99ccRxelYLh+vWW3X0qHmUbP6ndxqJsCQRHdciWjhS\nF/9rJhW4hW/MLzC6puDHGxH1ols4wl4QlhA4Ss+qVR1+9R1Qw/pUZkH0qYZMe4rouOB78YjH\nwY/F+59GdwksS1/8oiQ99pgUaMzIz49pbOHIV2LEGaQCxwDvmsrGN7MbS+IbMuZL/yhSZ5sl\njC0cxpcyfnVhD4Gj5BmPCu49QbK2CTmO+VykU8ckYyuFTGHC10sj4tkhQzRiRJFvriTlP4rK\nyvZJlvJNGsYWjuCQWpn26b7HGWzhcHWqnSPMuHGqrW3/Crmfm3e+LxTDF+DCTkvinMwYs0jW\nvpNljMBR8rxbY1WVzjlHkyfnbv+RtU3Ie6yK02ih8J1L/gWNz3aqpcRxtGNHVm43kzA3TPTu\nncsc3iNlRUVu0LU7kjashcNxDJ+28YECh4R0hZWkC2VbuFDHjrX/2q+fli/XVVcVUTh4GJsl\ngk8Z15dC1ze+FKwicJSJAQM0bJjOOUe3367bb9ehQ1L2NiEn0FvCuKfwPo6TTsLWDLZwGH86\njurri35vpWnhQn3965o9W336qHfv3KwYAwfKcVRZqS9/WR//uMaOlaSqKv+IHmOSkKkivCtk\nJ3BEX3YspoSOo82bu/7n8PF9o8KaMbrWwhFcCHsIHCXP3U5qavTuu/6FWduEvF0lInp0xgkW\nwUgRsRuS6ejiPvZORN0DjRihRx6RpM2bddZZamrSJZdowgR997uaNUsDB+qTn5SkYcPU2Gge\nNBv/NNHJWPO1cciSslE2eIWddQR/NS4s2MKRzR5vZYnAUfKMm1w2O6z5bm2lGBt5dLt3dLCI\nbu1wl/fMKylB8+blHlx4oSTddVeHZw8cUK9euR6mtbX+Pbgvc7jCzke91ZEuDjOlImK0VMEW\njrywFg4CR5IIHCUvInBkbROqqGgfr9upFs6wU5ywqBG93Bs7+vTR//7Xfe+wTLmdOVav1qRJ\nmj49dHizCjVQlVALRxZKCJc7CMgbOKJbOHxPRa+fqe9k2cvAiQaKFtxU6uo0aJDGj0+jNOGq\nqtovYUSnB5nignd5/BaO6Nk4vBkI0WpqtGCBdObSmPG0Mi9sF9+/f+6lUjd8uO68Uzfc4F/O\n4SdrLrlE8+bp7LOlQpdUOtXC4XBJJXG0cJQ843ZSU6PDhzN3vWDuXL33nk6dal8Sf3+hQmNS\nwloyooNIfmgG4gsGDu9eO6yV2/03erReeCETk5pXVOh730u7EIhh3jzNm6fXXpMKXVKRaWcS\n1sKRX15fr+pqTjySQOAoedOmqaXFsDxraUPSo49K0rXXSoWyhToTHYIxIv58oxn8lLLPnbQj\nIlgocr/vNpNkFi0c2ZQ/Qwhem+taC4fOfC0fflhf+hInHkkgcJS8tWu1dm3aheiMgpdUghdQ\nwl7E+zh+m4d3eOcPfhB1jwwYrV2rwYNzLVX5vX+w+nxVyQ4dxRgwQBUVGjpUikwYxjY23/r5\nx25b3bBhGjYsibcAAgfSEXGCErZCnIsmcWYXdR+7F1PcQRnolC98QZK2bJFMgcMVvd/PMlo4\nsmnMGO3bp6YmPfBAVAtH8KuYf0qB/UBFz7unQboIHEhaWHrIPxtxXda4vLOXWtyftbXsa4ri\nTp/fq1duxx1xfqmSChzILLffqLcLUfDUIs/4xfPtdujClTA+bKSp4MWU+JdICl6p8a2zaJEu\nucTOu+oZLr9cjz2mRYtye3/jhGDqWLklcXsRWjgyzpsSfFt9Z1s46upUV5dMqSHRwoHkRbdw\nGBdGB4iwSBH985vfzN1xBl3Tp49uu006cwDo21eSqqt18qRkautuaNDgwamUtCsIHJnl7bOc\nv7Oxwjt2OIE+HPm88vzzqq1NqNgQgQNpCYsaYXsNdSZSxP9bFK++XvX1GjFCW7Zozhw9+KBk\nOt188kmdOJFuSWMhamTc2rWqqdHvfy8FtuXgDiTPuDcYMyaB8qIdgQNJi74mokJxobv6c3Bc\n6S4bN+rDDyXpmmvaFzpneuTl66W0mq/5emTWTTdJMgQO4yUV40L2AGkhcCAdxksqYWHCu6Tg\nYFfjmr7xKWJ3030GDuxwcSpfNW7gmDxZw4fnbjlbEmj6KgnGU4jgbkGmfYU7wraELvCVDQIH\nkhbRXGE8QVG87qLeFw+7sBKMJuh23jGHjqMLL9Thw2mXqTNGjNDYsZo2Le1yIJK7RTc0SNJZ\nZ+WWOKYBKcG9yujR+tvfNHp04oXu8QgcSFpY84Nxta51EY0fVtDt3OGy7hlkKZ5E1tVp//60\nC4FC3Du6zZun/fs1cmRuoTdbGFs48j9LqMmtnBA4kDRjs6cCLaJxemx09vKK92dJDNEsRZ/+\ntBxHjY3auTN3m1mg29XVqbJSNTUaNqx9YJSxu4bjmSeG3hvpInAgHWEtHMauo9EjUOI/6/be\nuPpqTZ2aO0NCtzv3XJ17riRGHcOie+/VihWqr5ekqir176+hQ/Xf/6pXrw4bu+N0CBzuVk/r\nZlrY6SJpYQ0Yxqfidx0NPhvW/rFypSZM6La3AyB5/fpp+vTc44oKvf22Ghq0bl0uXigycNDC\nkRaSHpIWkQniXECJfxkl7FnOb4Ay09io2lp95zt67rlc1PAGjvy+hRFq6aKFA0kLSxL5Zzvb\nUTTOs+5j9/zG3ekAKEvz5+tTn9I550iS4+jsszV2rK64QgMGtPdoRirKJHBceeWVkn7vzgWD\nUmCcIjD+yJToDqRh7Ryf+YwWLNCoURbfF4B0zZih3/xGb70lSZWVevXV3PLrr9c77+iuuzRr\nVoql69HKJHA8++yzaRcBcUV00TB2Mld4i0X8qOH+nDlT8+bZel8AsmPiRK1Zo+XLOyxsbNT6\n9SkVCCUXOG655ZaYz27YsMF+cdAVxskwfB04FH65JH4Lh3f4q7GPKoBy1auXHnoo7UKgoxIL\nHD/+8Y/b2trCnt24cWP+MYEj44Idu2Rq4YgfLMLaOdzAQXdRAEhXiQWOX/3qVytXrqyrq/vR\nj340dOjQ/PLZs2dLev3119MrGuLydhf3dRqPHzXiXHYZNUpvvKHx47VtGxP+AEDKSixwXHfd\ndWPGjFm6dOkdd9zx1FNPTet4w4OZM2emVTDE500J+QEjvtFrKtR6EZzOyzsOxX08ZYp+8Qs9\n84wefzw3+XEJ3a0UAMpM6TUxX3DBBdu3b29oaJg7d+7vfve7tIuDTnNzw4wZuvTSXHfxiBk4\n4nQI9QaO3r3bH7s/Fy7UW2/ppz/Vrl3tMwUBABJWYi0crhEjRvzxj3+8+eably5d+sgjj3z1\nq1/t8kudPn36mWeeOXHiRMQ6Bw8elNTa2trl/wVeblZoatIf/qB9+9qXOKZbIURfWPFelxk+\nXJMmacECPfVUblLt/KyC7oj8yZOTeHcAAKOSDBySamtrN2/efO+9937ta1/bs2dPl1/npZde\nWrJkSZw1Dx061OX/BV5hA2IlwyWVOHOMupP5DB6s3bslaeFC9e6tPXt0wQW23woAIK5SDRyS\nHMd54IEHJk+eHD1WNtr8+fObm5ujWziefvrpJ554YsWKFV3+X+BlbK4Ia9sIhgzvBRT3Z2Oj\nHn9cl12We333xtNvvpnAWwEAxFXCgcP12c9+dvz48c8//3zX/ryysnLx4sXR6xw+fPiJJ57o\nxe3MLQheTMnHjjgtHHV1qq7W4MEqInMCAJJQ8oFD0kUXXXTRRRelXQrEFd3C4Qsc0TOHNjTo\nnXfU0JDsGwAAdF45BI6mpiad6dqJ7OvypObBobCOI89sLACA7CqHwNHS0pJ2EdAJ3hGw+ckz\nvM0bcebe6NdPOtNdFACQfeUQOFBavM0YAwZo4ECNG2eY2twbONxhrmedJZ2Zqnz8eG3Zorlz\nky48AKBrSm/iL5Q6b+Do10/vvqs77wy9pOJeOrn8cu3apWXLJGnaNG3YoFWrdM01uQgCAMg+\nWjiQNN9tTfJzg7oXU3wtHO6zjqPJk/XBB7rlFl11lSZNSqHYAIBilEPg2O3O94QSYbyD2qhR\nGjZMBw+qsjLXM+OKK3T4sMaMkTz9Nh5/PMGCAgC6TzkEjkmc8JYU3/gU15//rF69NG+eqqq0\nerWamrRokRYtyiUM7vIKAKWuHAIHSovvPrEud9TJbbfpyBFdeqkuvTS3/LzzdN55XEMBgJJH\n4EDSvKNbfVat8i85/3y99prtEgEArGOUCpLm3sTV18IBAChvBA4kbexY1dczHzkA9CwEDiTt\nttv0z39qwIC0ywEASBCBAylgSnIA6GkIHAAAwDoCBwAAsI7AAQAArGMejrj27t3bp0+fLvzh\nqVOnfvKTn4wePbrCOPUESl9ra+v+/fvHjRtHFZcxarnstba2trS0rFq1qpd7T+rStHfv3rSL\nEIrAUZj75fv85z+fdkEAAHb98Ic/TLsI3SCbmYnAUdiNN9740UcfHT9+vGt//uabb/785z+/\n+OKLR48e3b0FQ0a0tLS88sorVHF5o5bLnlvFK1asmD59etplKUpNTc2NN96YdikMnLa2trTL\nUOY2b958/fXXb9q06brrrku7LLCCKu4JqOWyRxXbxsVIAABgHYEDAABYR+AAAADWETgAAIB1\nBA4AAGAdgQMAAFhH4AAAANYROAAAgHUEDgAAYB2Bw7qampr8T5QlqrgnoJbLHlVsG1ObW3f6\n9OkXX3xxwYIFlZWVaZcFVlDFPQG1XPaoYtsIHAAAwDouqQAAAOsIHAAAwDoCBwAAsI7AAQAA\nrCNwAAAA6wgcAADAOgIHAACwjsABAACsI3AAAADrCBwAAMA6AgcAALCOwAEAAKwjcAAAAOsI\nHAAAwDoCBwAAsI7AAQAArCNwAAAA6wgcFn344Yfr1q2bMGFCTU3NyJEjV69efejQobQLhSgz\nZ850Aq688sr8CgXrtPgVYElzc7PjONu2bfMtT6BOqfRkhFUx23VWtMGOkydPfuITn/B92kOG\nDDl48GDaRYNZa2trbW1tcBu54oor3BUK1mnxK8CeZcuWSXrppZe8CxOoUyo9McYqZrvODgKH\nLY8++qikxsbGrVu3njhx4u9///vSpUslXXXVVWkXDWYHDx6UdM8994StULBOi18B3e7IkSNb\nt25duXKlexjwHY0SqFMq3bboKma7zg4Chy1TpkyRtHXr1vyS999/v2/fvo7jHD58OMWCIcyz\nzz4rafPmzWErFKzT4ldA9zp+/LjvvNN3NEqgTql0qwpWMdt1dtCHw4p//OMfu3btamxsnD9/\nfn5hv379Lrvssra2tldeeSXFsiHMnj17JP373/+eM2dObW3toEGDli1btmPHDvfZgnVa/ApJ\nvdEepE+fPvmd3bXXXut7NoE6pdJti65isV1nCYHDir1790qaOXOmb/nUqVMlHThwIIUyoRC3\n1m699da//OUvx48fP3r06G9/+9vZs2c3NzcrRp0Wv4KF94QoCdQplZ46tuvsIHBYceTIEUlD\nhgzxLR88eLCk999/P4UyoZC9e/dWVVWtWbOmpaXl+PHjO3fuXLJkycmTJ2+++eYjR44UrNPi\nV7DyrhAugTql0lPHdp0dVWkXoDydPHnSuNxxHEl9+/ZNtjiI5YUXXvD+OmPGjC1btsyZM+ev\nf/1rc3NzTU2N8a/ydVqw0vlWZE3xVUalZx/bdXbQwmFFfX29zpw/eR09elTS0KFDUygTOq+q\nqmrx4sWSDhw4ULBOi1/BxltAhATqlErPILbrtNDCYcW4ceMk7dy507d8165d+WdREk6dOiWp\nf//+Bev0Yx/7WJEr2Cg/IiRQp1R6NrFdpyOx8TA9zciRIyW9+uqr+SX/+te/6urqGhoaPvro\noxQLBiO33XXJkiXehSdPnpw4caKkl19+uS1GnRa/AuxxhzD4xkwmUKdUemKCVcx2nSkEDlu+\n9a1vSRo7duyf/vSnEydOvPHGG3PmzJH0la98Je2iweDYsWN1dXWS7rnnnt27dx87dmznzp3u\n5MczZsxobW1ti1Gnxa8Ae4yBI4E6pdITE6xitutMIXDYcuLEiVmzZvnakyZPnvyf//wn7aLB\n7Mknn6yo8Pdqqq+vf/31190VCtZp8SvAHmPgSKBOqfTEGKuY7To7CBwWffDBB9/4xjeampqq\nq6tHjRp1xx13HDlyJO1CIcqOHTuWL18+cuTI6urqxsbGz33uc/v27fOuULBOi18BlhiPRm2J\n1CmVnoywKma7zginra1NAAAANjEsFgAAWEfgAAAA1hE4AACAdQQOAABgHYEDAABYR+AAAADW\nETgAAIB1BA4AAGAdgQMAAFhH4AAAANYROAAAgHUEDgAAYB2BAwAAWEfgAAAA1hE4AACAdQQO\nAABgHYEDAABYR+AAAADWETgAAIB1BA4AAGAdgQMAAFhH4AAAANYROAAAgHUEDgAAYB2BAwAA\nWEfgAAAA1hE4AACAdQQOAABgHYEDAABYR+AAAADWETgAAIB1BA4AAGAdgQMAAFhH4AAAANYR\nOAAAgHUEDgAAYB2BAwAAWEfgAAAA1hE4AACAdQQOAABgHYEDAABYR+AAAADWETgAAIB1BA4A\nAGAdgQMAAFhH4AAAANYROAAAgHUEDgAAYB2BAwAAWEfgAAAA1hE4AACAdQQOAABgHYEDAABY\nR+AAAADWETgAAIB1BA4AAGAdgQMAAFhH4AAAANYROAAAgHUEDgAAYB2BAwAAWEfgAAAA1hE4\nAACAdQQOAABgHYEDAABYR+AAAADWETgAAIB1BA4AAGAdgQMAAFhH4AAAANYROAAAgHUEDgAA\nYB2BAwAAWEfgAAAA1hE4AACAdQQOAABg3f8D4645EzYeMysAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title “Source 2”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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u8QNHpOBgo3Zp8eRc7BlS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VsJtmMXgksXCIV8YYbjzWIGEUHJY9xsVW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\nAACcA8EBAAAAAOdAcAAAAADAOf8PSwdgZ2Tf/DYAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title “Source 3”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=6, repr.plot.height=3.5)\n",
"for (i in (1:s)){\n",
" plot(x[, i], main=paste(\"Source\", i), type=\"l\", ylab=\"\", xlab=\"\", col=\"blue\")\n",
" }"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display of the micro output."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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2/+3HPPpaSkBHDBgoKClJSUbMf3OzU1FYAnOjInlDp//42NG3HbbdiwAdWqAdIL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\nkQAAAABJRU5ErkJggg==",
"text/plain": [
"Plot with title “Micro 1”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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RMev1pfj4l+jhk3q82SXLUCZojRg9UjcMMNuOkmAJg7F4sWedYJCqMbKNqqEAiZ\nyKsuVVJwLFiwYNiwYY8//vg0m+V06NChQ4cOrfhYVToffIDRozFzJv76V3z2GTZuDDVL0sqV\nmDAB69ahuNhx5IRWuunNBb3QUYWmyr1r1uDoo/HCCxg7Fscf79QTqqBh7QyzQ4Rut2EDvv7a\n2XzlFVx2GT78kN8U3qmFBwzwhGD9NTOw2rNmjfNfHVq2zHNaLOa5kV5cHnUUHnnEvdC00+gz\nhbCb6i0n9WnU5epe+iiVRC0cKobUrFc1nN/wopISrF4dR9NYJR39Ca4/zDATsnCQ1lGdaCFr\nvrhxSIgAeWGyYYNrD7DW1vpVa9Zgzx6LlIlG8Y9/oHVrp4Ny7Fj3Wr3zsbQU+/fj3/92J4Gg\nE/zMTqb5Qa0ATB9Rn47Pej5s9XrAvZjWLCmxjFZNDrPWN191sA+H1WZJM/owsWLe2my67N3r\naRrpkwMl1KVCBhurhK02VD3BMXDgwE6dOg0aNGjIkCEXXXTRFVdcUeQt/x577LHHHnussqJX\niajMRo3d66/HZZfFv2rYMFxzjdtVoVex1I9OmeHDD/HSSygpQbt2GDTIaVTNmYNoFNu2YfZs\nLFni2gZUu3bZMtx/v3OmXkbohuJYDE8+ifPPd4woykdVd9owr4JtZIrfmeYv6Qm1+fLLWLvW\nUwzpRQY53EWjWL4cy5a5Fyrnf7Ojxyo49AJIn5JEKQPd8J5oM119IMoHKj5+Y4uGD0fHjnGW\newi2cPjVH7NnY8YMu8gLP56T3hW7e1Rzxwsgbps7PGaiskqQgoI4yl5dtXs3jj4a48bZQ45G\nsX49ioqcxL96Na9BKaf8+qszvxadEKZ6018j63xRF5JaZSI7roSCMfEGExzQpHY0kXUQTfRi\nJNjC4delYtXZ1KAKyHem1rEWTYkKDoqVWV5VS6qY4Hj99ddffPHFSCRy3XXXPfnkk506dZo4\nceIDDzxQ2fFKC1Sqpapi27ZQDQtmq1AVoaqrduzw5KVoFH//O4YMwfbt2LIFa9c6ZYcqBUpK\n3FmZoQmOjz/G3/7mDKDw87pQgUSjzt1VOGo8JCvprJ4fhJ+8YJWfHg4dUnZpdhprLVFxQ0WJ\nelg1aFAv6VhZY3VroF9VXutVcqJdKupaqiTUd1HKT/Hddzj/fOezbtuGkhKnYgu2cFibg4Cv\n9X7gQPTp49vMJRt+sJyiZ2c+sLo1KACV5svdwhFcE7DqjTof9as2bMCyZRCRc+YAACAASURB\nVJg/3x69qNdtiKY21wNRf1hXYyzGP5P1WcxNVgfr42YBrFrlOS0axcyZGDHCHjitLWf99NDe\nz1134eij7fEMg+qCZBYOJWJYogoWHFYLRzQalO/MsosFpT9pohYOGjcuFo70YuTIkQCeeuqp\nMWPGDB48ePbs2d26dXv55ZcXLFhQ2VGrBN5/H5984m7GDsyjhQPmwWDnPoU+ZHzTJk8bYssW\nnrdLSrBnj9PiLylxHPoo++nD1aIH5izXG98BFg79Rro7WICFw09SmPvNq2jCRPNCfb+ucqCV\ndHSC3leiF76srDGXpzdbRfoliQoOZuEw6+aZM/Hll85iE7rDR7CZwW8eDj1dff+9Y2oCsG8f\ntm+31H8lJSgq4maA4AoyGuWjXdTlccvihQv5ae++i+efj3NVXOLGVoeeVE9F+le2JlfWcLda\nOGA0x2OxOKmFZRBWE8MnsdEm3f2FF9C/v114BZQzTLKvWoW1az1SOCH0d0i/992Hjh2dKH35\npUeWwee5/JoxAbJSP9PaaFE7VRZLokuFfeXqSlZlRyAxli5dCqBv375qs0aNGqNGjTrmmGMG\nDRo0WZ88OTSlpaWTJ08uCJyMd/Xq1QCiZWw0pYD77kOLFuje3dmMRj2pP6TgYKJBr2miUaeh\no8JRS2YXFjqdvtGox35YUuLYJ9hs33rXpp7bma1Cv68VvbQNFhz6+X5yROkqPXtbxQcri8m5\njFlf/f4T5pr1puDQjyZn4WB+u7rtWh1S8V++3D1Hv8UvvyA7G+3auZFh57AqSvH736NxY6fp\nWVKCwkJLtNmqN9ZXRLCSl26qEqr+vUaOxIUX4rDDPJebX3zECKdfL1H8VGzAmew0M2HoS6uz\nS1g9SvsprSrMj0Lq+Y03cOqpOOUUT9yUuxIxd67zJy8PdesCWk585BFkZ9sfAQfysvWo3ya8\ndTMOWAd//hktWsDKli1o2tR+CF7bBr3VtWuRm+vs/OgjnH46YPQQmTHcsMEpx+AvOD79FMcc\ng/bt3Z1WC4d+FXmwIcH8e5B0qVQxwVFSUgKgYcOGtKddu3b33HPPsGHDZs6cedZZZyUa4PTp\n03v06BHmzFVkZEwbVFcuEdPmIlRFQ/gUr8sUaHlJzzlq5WVoQ8v0o9u3OwWfLjg2bXK8r00/\nL5ZdWcFEsNrONH741Qp+UoNdq7+i4KAAx6Fv9Wps347atXkc9MuLilBaik6d0LcvBg50K4kR\nI3DJJWjb1vMqTAuHrsmKi3HVVejXz1WWJvo7h6E/4LX06rMl6nG+7DLk5mLDBjRoEMfCoUd1\n717UqOH8pwWo9JPVDG8wBEdw5R01VhVnV61fj9tvx0MP4ZlnnD3vvotatXhU1f8AIRsQBzM9\nxD0zYFP9qoHi1Aehh6MsUmYTnJSW/hp1RaIu3LsXd9yBG2/EG29g5EjccAPq1wcM6xp1nWzc\niNatEY3il1+cAD/4ADVq4Igj7I+gennC1IUBgkNX2AC2b8eKFfjNb5zNN99E375YssS320UP\njWp9PbXTQDDWf8eiXVKCM87Ahg3OjKtWH47CQvTogT59MGqUG4JV8bCr9HhOnYolS3DvvX6v\nyi0B9IJOBEe60KZNm19++WXevHlnnnkm7XzwwQdfe+21e++999tvv83MzEwowK5du06aNCnY\nwvHKK6/MmDHj8MMPTzLSKSNmNMpjXgtHQjY99V91P7NRo2TD0DMVKwGLiz22elUIFhQ4zQjT\nz8tq4TAjTA/4/vs48URfSWFm0QD1sHGja1TQC1Zy26T9TAqoOCt/FFW3+cWhuBh792LRInz3\nnRvCypW44w489hiGDPEMuzXXvNbfxubN+M9/UL9+fMFBhSxz6YC3oGQ9X0ReHvLzsWULGjSw\nyDsd/Sq10CXdJaZ1Aezcid/+Fg89xK8KKTj0TXM/OQxNnIgnnsCMGXjiCdSvj27dLAFShXf3\n3ahVC88+a7+1NSbBe6z72Rzz27fjhx8Qibh7dH9eesnKjZeSBHtSuoXpD6T+K2FXUoJx49C/\nP3Jy0KePew6rgKGlMb3ipJRPkoiOrlxpubtpdmKwfM0MmQ8+iFGjsHQpjjkGANatQzSK3Fxf\nwaGnAavg2LnTnfj8tNNw7bV2CdirF3budAxy+jPqam//fkSjfLSwtQTTb6GXGPv347XXMGWK\nXXA8+STefRe33+68EPYVqitVTHD07Nnzb3/72x//+Mf333//yCOPVDsbNGgwZMiQAQMG3Hbb\nbW/oa26GIDMzs3tAQQ4AUJ01GRlp5+/CWoFMcETDTbnDqky9dKPQVNWVn+9ssiEtlP3UdITK\naKwq72jU07a2dkDo0TYtHMpAAmDJErzzjvvgZszj/tLzfv+9W93qr0j33leXMGu231AL/S3R\nURWy3pmimxb012J2uOjlmrqKTaxSWoqdO3HooZ6I6WMBWHzM2aDNfhwVyPLlOPLIBCwcujeo\nLmJiMaxejXnz3MnfEhUcdNqaNYhE7DVHLIZ587BgATZs8Bj8zHyhmDo1AcFhxirkfhIcVHkP\nHQp95By9ip07He9dprm3bHFyUMzw4WAWDrI70n7lYsWGmVDHCvuI+vuMaU0UcrOYMcMTDeZJ\nQ5H0eydMcOhCli7futURHKr69xt0zbIhey0UpgokLw/z5qFjR89jfvqpk8dXrPC8TKs3BnPl\ntmodGO9T7z1ctw4NGzpfSpebioUL3emLolEeWnUl7SrRYB599NEjjzxy4cKFRx11VJs2bWh/\n//79e/bs+eabb3bs2LESo1fBqFJg40YMGeKogah3ilyViDduRGEhNm/G669bJIgqnii3sMxM\n3SU4IPmhrVqul3SlB9bO1ueEIMFhDou1Dno085uyEChYhRqm3jIbgnp7N+a1cOj/2ZMqggWH\nvlwFNbzUABaznGJNPWtU9dfLhjI+9RTatnVNMtYuFT8Lh14ymv04ehWin6OP4tGvKtXWTGdS\nUnccYVeZm2w/peT9+9GrF665hktS+kB0O9URTl+EOgvgrfDCdK8EJJ6A8+mPukVeHmbOdPbT\nusQsProsYFmAGeH8cgo1A9Sb2bHDnpX8LEbkWaxm9abcQadRR48ummn4GzvZfD9W9x36BOoo\nLeyispvftHJWwRGN8qzEChx6e3l56N7d6RVl3Xym9qIQ2Htj2g7GB9I1t+qEKirCbbehc2e+\nNAQbQKuX29VYdlQxwdGgQYM5c+YMHjz4uOOO26FNbBSJRN5///1HH30032/EXnVEJdOPP8bj\nj+O77zyJNXrAgbSwEB074v77MXIk7rzTGZWnoxcZ+fk8L6nihkay6IVUzLBw6DUZtdpVDlQz\na/kZJFlQfliHuvn9mlUpvTS9ENE9K/VLrE18M3r6HXU5MmQIzjgDiDc+RS+DZs3CRRfxPmDY\n1AOAefOQn+82Q5mFw7xEHTLFhFkLshJT/X/pJTRr5q7hp78HEqkwvixzJUnOwrFzJ/bscea6\nhTblgwpt926PjtTrjLffxpFHYulSXoKHMfv5xcpvPzuqHnzYMNxyi3saSwMszZjCgr1Vdgmd\nRtZ4alUzj0W/t61OIE22c6cjetj4WHWhPi8ItDljrOJG32QpkwkONpxK7881YdmQCVNKZnr5\nowsOfYJXcm22BmV9z6ZA0afqgi0r0YOMG4e5cz1jczZswNSpbiBRmxN6taSKCQ4A9evXf/LJ\nJxcvXrzPO9V2jRo1nnrqqfXr1y9atGjSpEmVFb0KoKgIahSwSuusgmcJd+9e7NuHjRudMoLe\n2ZYtePppZ/YLGFmOLlf6jUayqP0qkKh3tk0mOKhLRR2lTdgEQX4+Fi3iO01YEWyePGgQbrkl\njhBh/ll637ZeuKi5I/PysGyZe74pYvwEx8KFTlFu9rj7RX7jRkyb5vSdm80p1uxTX4TUNbNw\nsFGyFIj+FUwLh9nao3NWr0Zentutoz+OLjhY4lEtV/bVAEsBrcMEB/1Xm+boA90Ip9cZqgZV\ny/3oXzZMaW7GMG6c9d43XZfrj2B9TP0c/RbWBjSMrMreDMvCZpz9Nkn3mykWQHExT+ozZ+KJ\nJ3jczLfEJAVTjUyOmBPSWKNqtXCwfr1585yjuh4laJoTPTPGbLYK66NZWyPWPK520ug2Yvt2\nPsRXj4MIjipDZmbm8ccfH9cto0rz6qs45RSsXOkpIKIHvET18joadc3azFw5aRIefRSzZnkm\nSqLim1b30Cse2qSOBqb69XxIokRvW1vHmOjtqmDBQfkwNxdt2njmaVC/mza5XTCmIFCUlHjK\nYrNSodMAPPaYZ12rYMGhH2VtuPBVl+ldq36ZhUNtsok32E31vgPypKNbMwsHuWJYBQczmdCT\nKpVpNTvHYs63YB1hcd8AExw7d3JfVGtoqgpZvpyb38wSPLnSPDi269ahUSO89ZZnJ7spC2HP\nHnTpgn/8g58QUnDo9Zz6TKR4TB9kdr6C+SdRYaKkdiyGPXswbx6XNZTlR4/Gk0/GWSAQRupV\nm2Sb1m14MPpfFD/9ZP/01BfMcp9Kb/QSKNp6diDLh96hzJ6RNQzMnSUlzhx61s+tx0132FJQ\nL5LVuFKNqW6C42AgLw+xmGNMjnl9ylhVStmMhhJEo9ixA5s3u1ldNYyo7atCYNNUsEEr1JbS\nNykP681r0kNqU3eJsFosgwUHHS0qwrp19oLVbEoS9Cz6Ta3ig/YXFWHfPkunAIXmJ2vov5+r\nRLDg0N+GtUtFFxDw8eHQCzi9KNc/E0Xshx88ndZ6y4xsQuacUWztTSY49Nne/E4zYfWK8tLQ\nBxDpf9hXKy7mgsN6VUjMkz/6yN7+3rrVmeCcYvX8854l49ev56Hl5mLOHPecn37ir0Vt5udj\n1ixnP3u9ihkznLnOKKWNGeMJR5+H47jjXN9VNUk8ExwFBe4LfO45dO7siAOWrfQMAttHIazV\nNhPKTCvob3j2bBx7rPNEhDpBrdG6b59n6gv6Q2+DosQcsNR+pa6Y4Ni3D6NHc1duM0sWFuKI\nI/hwHv1/zGYyUcyZw9+Pnz6uZojgqHroJo2Y0ZLTN4uLHScpar+WlqJ3b/z2t85pM2c6f5Rv\n4/79jmWCmTSY4KDRFmo/WwhNb16ThUNvhFldrhQhBYcOK+OszWjWcLEKDtgKSvbfjIBe+luL\nCRpC7Bdhhr7Gil66sSm9mT9/XMFhzvTKlBCFr5+j7rJvHw+QrlJVnZ/g0NMDjLfn96118wkF\nyxY8o3v9+itXHqwEVyKgtNTJCCFLc/Mctefpp/mQV3ZT2jl6tGfZF+YwiAPjTukL/u9/9pS8\nYYPTN8f204PoC/2o/bTUgIKGmEWjWL7c9SRgtzOTpXJ0ZemEyZ24TqNWFcUSKvviesJQT8eW\n8dNLofx85z2zQHQXMRiCw7TO6id/9BH69HF8LKJR3H47hg+3GB3z8jxOUWYeZyrNbADozxK3\nJKkeiOCoejB3SwUrZ6MH+jXJrE0Fx6ZN2LzZOW3RIl616G1ZP8GhtP+2bW4LGEYepj51XXCY\nmXb3bt+RGibBcoTO8ZMaCmbhsP5n97JWmYWFOPVUfPmlu98a+TBTWejosz/ppeGuXZ4VTHTH\nHRhNQ7PgZgNWYVg4zI4PAFOmAHAdNpmvBox53Nk7Z5UNzXHJ9jPMyiwWw+7djhRmdVtRkT2t\nUjJQtWZRES66iIefEHQVMzXpzzJtmjOLqylr9FSnUNOTsE9mPqBpVWJvz/zopFT08/fuxa5d\nQZY2FWfqIjHlHatQzfoVcIf4+t2FxdmaCPXspnqpWPefnjsAuyGNOWPGDAuHGT3aqdQhWXnH\nj8fEiZ7XroJiItIsPaJRx5VEfzr2BtSfefN4KVpdqWLzcAjwymfK+aorMWq4ktG6J5SZCwtd\nJ20qB1WmJcMvax9QRaX+qGKluNhjhGeCQ1UPNJJWr3f1JggVi4rg1easWdEsGc391orQ/K+f\nby1P9fK6oMAd8hPQLjF9OPTFa0xMNxfSjr/+iuOOc07Tu6jgfaX6JTRRtCk4qIBbuBB161rG\nROCA7YqNg4BRQ1gtHNEov4p1i4QcjABYkpB+L7YsjjqZRBLtp7qQWrHLluHhh4PiYE0D1lG1\n6tFoEGxpKdisPWZFouSX/oxMSTCrCTvBageCVrOaCoaJnlgMt9zijlIhfUab1hzBjAFMNZrT\ncjAtzj69ddZ2Orp+PSZMcPezhEG3Zp4fIS0c6gNZLRz6cO5YzCk89STBxnv7pZZYzPXVAOwt\nK0qufkFVM8TCUfXQS1IqhpRJVs9g6o+qwnULh/LnYKdRVrcWK8zCQSfr9U3U1qVCQxj03K7+\n67NWENOmBT24tU1sbaiZ++n/3LlOMxS2UjX4XsGNcmsxUVKCxYs9Zc26dXjmGd/1q/ycRqEt\n4IkDRR4N2bB2qcRi7oyWas9bb2HOHM8Xj0bRowduvdXXZg5t/JFZh1n3P/WU85/VLuw0v2XK\n9QrSDIdVXZQmly/3JF1yiTCjoXj+eTzzDHr1wg032KPhFyurwGVf86efnHk5iaIivPmmJVhd\nw1kFB31TmojF77lM5cEivGwZT+3/+x+++cb3ufQ9pKWsmPfavBmNGmHcOP5QLM76sCl4Z8aD\nTzcfvHkEhurV0+Ty5Xz+NMLMYkuW4NNP3QBpaElpqZsFSMrDKyB27eLT8CCwS4U9CxsrV40F\nh1g4qh4qNdMoFZU6VSe32fJQxTpZOJTg0Fdz1jU7vI1UCo2s2bqYKC31iAlWYtJOVhfSf7NX\nG0apF+ZoNAptQhZLhcR+77rLPdlv0ha/PJ+E4Ni2DSec4KyIppgzB1OmwG8KfrMcpJvqbhxs\n4CtTdczaTHtWrsTUqVxiKsedAMERNZbtZs1rVp0wkwPN68DeHksAmzejSRNkZHA1w6Kkao7c\nXLcBqvar4a/6aeyjUCCbNmHUKKxYgWgUixe7y6/88AMaNfJ8KasYtQoO0+zBFkvYsQOvvcbP\nASxTm7CcSCvxkvEvroXDLzWaC7jo6BO7mVAnLCsZmEmDbr15M3budFUgO4EpDFZY0SYz4BHs\nDaiX/+23nqOU4Om+7BtZe5d0dxByGo0aizWao2n++lf8/DMPkAmOGTNw9tn87iz9+JUw1Qax\ncFQ9VBpVCzHHYjzJkmRW+6nRQIJDrSumbH2//OKcRm5ZrFjRLX6xmCtfcED7Q8vhpuCAz1C3\n5LDmxvnz0bo19DlZqPgoLIyzCHvnznj5ZfcqVsuaBPcCBJTXVK/A6HK23oLe/8aN7pfVdRWN\nUhkzBn/5i69Tpzm+Zt8+T4JRhSk14GC0JmHYrvSjrOjXofep5nwDsGYN2rfH9OnOft3CsXkz\n2rTB3/5meQrTwvH662jf3jGGxWI8rbKi3KyA9+3DG284yVX/6Jdcgrvv5g+ovwS/Q35vIAz6\nUh0qZJrLX4WpG7HUCWqqeFNwsNcVi+HLL/G737nCji0byxI8M8nE/I1/OCApcODjqnudfDKf\nqcU021ibQ2yTph9kg2n9Up1Kyey9sfwVC1w6mwWloP5ilUFMwUGsX88ny2f5RfHPfwLAmjVY\ntcp9Fr0Jh4PAwiGCo+pBqZkJDr1gJad3sv5RnaSPg92xw3OaKThUsUJrauuWfCY4rBYOGGbS\nsj+4SX6+ZW0qALfe6jRZ7r8fXbq4PgRESYmnkzXuvfzqFbOStp5g/vc7U91oyhS0auXO7kBF\nKjTB8c9/4rnneLHFWpDwFxwqYeiCIyELh7WOp0PshaxYgVWr8OOPvNYBsHUrios9C9rBqEop\nYmr2buX9o5fOrM1qVsDQKjxTcOzbxy1eer1ivQuMGjRpYoZt0toFADieQ2SQYM6hepS++AJT\nprjDatgUosXFdtOgdY9ZMqhCQPUjFBZi/nwsXOiolljMnSqQXvu//oVvvuHijw2BUWE+8AD6\n9gU0AyTLMla7GmEVHOPG4Zpr+AOyS9hVNDgoqq1LpbfiCH1qn4A4qBx33XW46iqenFjOFcEh\nVCZ/+hN693Y39daD3v5Tf9QKauQ0p9cr6ip9ROXevZ6RJvAWoLt2ecaYxA6YJZX+IO1C9QHr\nTFHQDGBlJ0w+pBeyd68zyB7Ajz9izpw4Nb1e98SMHl+FtRsIIQSHHlrwq9Ar159/RizmWsL1\nYo5k3K5dKCz0tXBQhHX9x5RoNIp9+9yWtPksfsYDFlvzKvZCKM5q/yefuIcoRelR9fNc1hN2\nfr7b32etsK3txaIixwSoHy01BpLcfDM++IA/2uOPY/t27N+P006z+CgkjRlPP8GhFAZVxqYZ\ngCp19YnJt4ClfxoDb43A+vWeLjw6xHqyVJhqHRZoxYjyOIlG3VFX/fvj73/nz8LcLyhwJVxI\nKgVbOBjWyv6rr7je0mH2BsWKFc4es0slrr3WmipKD4xtycvzHcFuJsJqhgiOKsDMmZg9293U\nWwm7d3OzpCqPKAUzf4viYmcPlQgK5hZKXSd69UNH2QSU1i4VKq1oWrCyEyYr7t6NdesA4J57\n8PXXyYfv59JohX0CE+YhH4D+wlnrZ+ZMfP65c5TkQmGh+5lYKQZblwqtIkZKNBbD/v2uR+r6\n9bw7n6SkudC81YpAh6yCg9LJ/PlurblkiRttevNMx5CZXbk1UF1FIzn1aikW48NS9N+FCz3z\ng336KZ59ls95DyA3F9dfj1GjPI82cyYWLsTWrZg3DwMH2pdLTQJ9wXr2+BSlmNbnYmYo81uw\nipldwsw5sZhHYeze7QyKVpBhjOYh1VMRdeB+9ZVzPvkY0TdVRVDAjBrmH4ph2QUHtT2sWAWH\nXnCtWuWJQ3KCg6K9ahVeeMHZqS+AAGM2tuqHOI1WAcjiPX062rf3WDi2b3daA1S+s2Kd+VtQ\nliabp4KVSqqwjhoj8fQqMBazZ0K1k5zqzak2kyZMPty1iz9acjcy+18CYKP7TMJbOJh9CF7B\n8cgjuPBCj5VCKUjmNk+Xk+Cgr8MWF1UzDuXnu9e+9JLHcxPad6fEs3s3PvsMl1zi+ejMDdYU\nHEpV6PvppmrRc13OQpszTa9Cdu3yzDAbNSZaYK3nCROcQlzNWKpPH0kWjmeecQZrmF+wuNiZ\n3Ew/VFTkOCuoDkeUR/I2pyL1s3AozKawbp8DsHOnZ9UCGNUkjdVS7NvHuxf1HqWtW9G4MXCg\nX4asBfqbhCYW9SnDAWcKkFjMXTNBj9L33/M7qj80iQWLebDRlMl0in8A1m4svS+YrTkVt4PY\n2jNSVIR+/Zx+Q/LdYc8S7HNWDRDBUQVQjYNYDJdcgiuuQKtWgFbUWhdtYsVuqXfteBg6gFk4\nrKNkqauS6Q9rNyTro6kwC0dZAtfDTyjC5dilEiA4cKCcoj1q1HEsxs1IZh1j2jxIcMRiHsEB\nY5CnKR1GjsScOZg3zw123jycfrrnNLNjm9nP9QdZutQ9ZA4EDUh1ZmhsTn3lYqlCW7PGM1JD\nffHVqx25A596wtwZi2HyZM85idrSTMyXbEaDqUAzBGhZeONGHHqo50x2CbPhsUrU7OLRrWjq\ne1EkS0oc+ULpgVkylAkk6uMMRJYVNlU/Wd1UsKQ/9NRiYtUEfkve608Bm4WDfN51C1lcfWkt\nCvLz8cYbfKe1G7EaI10qVYDoAU9ptbQHS/RWhcFsnmThYFmariL7s744QtToudQLHWazZXkm\nuH2WHGqN3BTB5mFMKMJmhwJDDy1YNi1YgNdf95U+bIwxzbOpGv2mhYP26L0teuCqJmA7zbqN\nvQ2aipH2q0aqfhX16zPmzrV4lqjorVyJr77iO2PGsh2s64TVFsqHCcawCxjjQtW15AUCn09j\nCo7163kFpntfJsfevXwSvOAcZKZP1pOyYQMvKJgBg6b8UpitdqsAYpY/KmRUVcoKJXIfsTZg\nYIzRYBNvsIl0ySQTbAZQgetTfFqfzrwE3rymN5yY/Sw5wRFwa7PhV10RC0cVQJX4eqc7DL8t\nthmN8k3r3FBmzcTmIGcWDt10z9orzF2ASfVyERzMObx86dbN/W8274L59Vds314+zzh8OPbv\nR4MG7h5zhIvuAUpeewhn4WDaQtkh2M5SY0pK9jbI0BLQMqN+H8ZHH7n/1TwNTZo4l3/+OebP\nx4cfOkeVLw4FTm1N5uZCf9RTU8e/2ahVw2715wozeMpUk88/jyuuiH9hQtDgHYIlp3feQXa2\nJ1bW8/PzXQcsVpkxwREwLwU0twz9jgiczxtw/WmUEYJ5IpseRSw901wj7PzSUuTlubrQaohi\nD2I1z/jh51cLY7kiFn8/wpceVndvERxCZaIKF0qaVvMDbVK7UEFrmlgtHIQKZO/eIMFBZRCT\n4WqTeXgxyqUyTillMclMn46hQ/lcT8mhXqPu0GfOmUZxo/EpViMT/It4ovTA6FBWngYYPGCM\niwbcQaoBV5l07Yru3TFhgkdCUVTZHJHUB8RWzGLeA8qMEbONM6IhJ3QvfaQxfHxxzHBI55Uj\n5rti9921Czk57mZBgetBooegXFWgCQ5rf4F5R+ZWaY7psH5NtpPm4Zg40fMI6g9lELaf0jCr\nd3X73PHH82lz/WCvJcwlNMGxKUDZZL4s/n6ETx7WnFuNBYd0qVQBotpAcD2vBlT/mzc7UkOt\ngxyN2hc0128BW0GgCw7Ke9bFC6j9Yc1sCQ36SAcSzfO7d5ePqNJVo0IPlvlq0Jo4CtpPkTfH\nrfgZM4IFh9n8hddC8OabnumMzECsFBVxD1+rUGDVj54m9+1zDCFsViv4j+MI4IcfXMcRwrRw\nVIx69nsPioICZzlTQikteup16+zmer/w9SGyCHRK1WFmJD/The6KDq2M0q8yLXn0xRctwrp1\n3F6SECEvMU8js1BCgoN16ASgdxcCzjcVwSFUJrGYWxDTBBtmt5/arwYNqvELRNS7aisMwaEy\nM5s+meoz1ohkExKzLhVr3k5/C4eOtdoLplxmNiPMvmSFaiNa7QH6frOO0fdYBQcNaEQIC4cy\nQcdiztoTADZvxty5CQsOaL37+oU69C3I6qMrgN27HSuF6fOYRJIrw6cx9wAAIABJREFUKXGn\nEteDgiE4KqBKCBYcMHoY33kH8PrxqLdKUizYhsde4J49fCVF6yOrEUCEn6s4q1bVJpmXmDqh\nEyhKwd4tYQgpOMxczERSyAiEl0TqRVGfjlrSTwSHUJlEo9i3z/GZmjPHHXKmF4WUB6yLopWW\nxhEcVq9D6kNhqyOyaSdYyFVLW/iRaJ5PnXu5HjKbFj2u4DAtHKaYUMyaZdmp8HMXiMU8QyuZ\n00bIWjkaxciRrjuw1XsmQHD4xdk8ISR+vgsVLzjIhUW/b8AmTbFFlB4YSGw9P9jLgbVYzPOt\nO9mCwGyckV68DB+OSy7xHA0QHExaJZHX9ClGAggYzKIfKsfMzj6K6pOqxoJDfDiqAMqBg9ak\nUOKAtWI3bgzqtiALB7NSBJyvw7Ira5Wqo2xwwcFG6gSHXtIx25Kf4DC77QPs6mbpxmp9v/qV\nEpUiORvDhg247TZ3s6CAj56IGRNYqT+LF3tOMx0Ukiu1ze8Yi2HfPndtsLIEnhC0jivB3mdc\nv2x2AvMxStRpKaFHVqHR+GomKX74ASUlrk9GooIjiRImZOQDBEdCXSrhYUGRB1J1RSwcVQC/\nHg29GbFkid22oSD7KgVida0imHZh+ZC5LrL8H7Ixkc4kUaP4zXpedmicJ8AdcZhRwRwWG7dL\nxSom4napKJikiDu2xQpLadEo9140u+pUOmfOFuVl4Sgt5VHauhWbN3vcSytGcFilT8AJcbtg\n9IQEQ3/EdXlO6JHVV6M2kooJDR7evdsT2rZt+Ppri3Q2fZ/10FJBgJRhPdTlRRi7UXVCBEcV\nQO/XgLEcmnILDcYUHAHqBIYcsfoM+gmO6mHhSDTP/+c/qYmHF9by02fjhuFWCR8JYvXhYHcJ\nrtsUTz3lmX+CXRWyVjbblOxe5tgENg6Lbsc2kyu1YzG88opnz6efhupcKHfiOr3G7VQKtrrR\niBJFcAsEIRSJjtWHg0Q5c0NevRrdu1ssHH6Co1JIyIcjPNagqrHgkC6VKgDzygxe39wvBBpV\nqAhO02HMrX6Co3qQnnleGRWCLRy0XA58TB1McJiEFBwzZwZdFbJLxUw8fmmPLB/Macl6VVm6\nVNh0HaWl3KRfMT4ccTN4cA9LmBAqjC++8GyWlnKL4J496S44dMTCkTRi4UhrcnOxbh23cCgr\nhTl+L4CosRxGQlhLrmrstDFzZvrmefL/hWHhUF/k/PMxdqxnD7wOEEwWmCTaVrZeFbLKN0Om\ncQEUjoIGRFgFh1q0XY9Mcl9w8WLe9DcjuWVLOUwtGpe475xVw2atHLxiWUVialOaHJ326EVT\ncJdKdcKqXbZtw5AhFR6VCkEsHGnN5ZejVi2n6FQjpnCggteHFcSFBEc5Zl0q0NO2bk6aJ55I\n34eKRt3WIbNwqAL6118tTqN+Fg6/W7Bz2EJfYa6KGrN3+F3FYD5AprC2rt3FDP5JWzhGjrTs\nNCNZAfPKsIkxTNisZeZyg6nzKyojpaUWOaW/UuYmnLaZsez4PdqKFRUbj4pCBEdas2ED6tRx\nEuWYMc5OGucWHrNLRQggnUf2RqOuAYONUmEdLig/wcGWMrfC6vjgLpWsLMsMHArmTGDaz9io\nKIoz20yulqKF3HTYpODm7VKBOSw2UdLWfdv6dfQWFM09Wu3xe8bqZzZWSJdKWlNUhHXreHnH\nJtsJA/kGVmPj5EFCaamrOM31Sl56ydPSXbvWaQfrjcUkBEeYZGMKjoBevxNPdP6YgiPkkIRg\nR878/DgrkvthdY18912+J33cIwJIz0hmZKC01PJZ9TWKmYWjGuOXGdPz25Wdqmrh2Lhx4zff\nfLNq1ao9e/bk5OQ0bdq0Q4cOZ511VmZmZmVHrTxRTdiyZ7xo1Jk3UCwcVZ2tW92JF83a8YUX\nPDXxm2/i558xa1ZiFo7SUmRk8D1xMb1DAjoFsg4UPGbIrG3nd2sWOHuo/fstk50nDZvzA2lf\nF9as6a6zk25kZWHXLovNTE/MVkUSl0ik6nW++EW4yj1ISKqe4Fi9enX//v0nT55sHmrcuPFN\nN9305JNP1qtXr+IjlgrK0bDGJv4SqihXXomFC53/5tc063g1lZCf06gVU3Ak4Y0RC1yLldoF\n5jlxp5dQsGdPaQFtyvS07a1QNGiAzZvTVHBkZ2PfPssrHTXK/V9Y6Cz/lhBZWVXPguuXvEVw\npAW5ubmdO3fetm3bIYcccsEFFxx//PGHHnpoJBLZuXPn0qVLp0yZ8o9//GPq1KkzZ85s2LBh\nZUc2eXbuxK234rLLyr/IEAtHVUcJiOxs1KvnqXQzMhCNWgSHsmyZk5AGUFzsWiAUYdIhW7Aq\nrg+HX3zijva0klIlbc5RwaZDTTcy0rirPMunztF7imMxd7b7hEKucoLDLz+muQktaaqY4Bg8\nePC2bdt69uz5zjvvHHLIIezo9u3bL7/88tmzZw8ZMuTvf/97pcQwIUpKEIth2zYUFWHfPmzf\njvr18fnnaNYMH3+MtWvLX+emectMiIuSFK1bo3lzT7VXqxb277cIjh07XJdhhLNwFBejVi3P\nnjC1vlo8LORVAT2fFL2MDGRmhi15U1rTKJGnUwHDYhOC9Saks+DIzg512pdfJhxyOj+1H2Lh\nSGumTp0KYPjw4abaANC4cePXXnvt5JNP/uijj0IKjtLS0smTJxcEzqK3evVqANFkNefmzejX\nD1u3Yts2ZGWhfn1kZGD7duzfj/x8ZGcjKwvr16NmTRQUoG5d7N6NZs0AbWLgckQER1VH+YRm\nZSE729OsV4LDJBZDQYFnab24ZZnpi5pE2g+2cGRkOCYZ64WKmjVRo0aa9guwlVQrnYsvxpQp\n7mY6e7LVrBnqtCQERzo/tR/6rDM1argW6KVLkZ+P2rUrJVIppIoJjh07dgBo1aqV3wlHHXUU\ngE3m3D0+TJ8+vUePHmHOXLVqVcgwGVu2YNKk+KcpLypVnSgTbtyB+EmQtkPzhYTIzkaNGh7B\nEVCO5+W5WiSM4FCGN50kav3g4TCRCCIR+yFSIZmZiESq7fjAciQS4TVTOle9jRvzGUTKi6po\n4dCTd+vW+PVX5//y5Vi2DCefXCmRSiFVTHC0adPml19+mTVr1vnnn289Yd68eQBatGgRMsCu\nXbtOmjQp2MLxyiuvzJgx4/DDD08wsg7HH4/nnkNREWrXRiSCNWtQuzZKSrB/P+rXx4oV2LED\n9eph1y40a4Zx43DUUfj5Z+TkpERwpCJMoeLJzkZ2tscjJ8BSfeON7hCA5ARHchaOgBspC4dV\nx+hdKo0bl8N0FNWeSITXtelc9YbsUkmCdH7qQw+Ns3wVDO+WKuePEoYqJjh+//vfDxky5A9/\n+MObb75pao7vvvvu5ptvBnDNNdeEDDAzM7N79+7B56gRMRnJJudIBPffH+rMkhI88QTq1MHb\nb+Oqq3DcceXvOhRmBich/alZEzVremr0GjV8T/7f/9z/1tXaGJs3l4OPQqIWjqZN+drcSpRU\n5Liq2rVTkkFS1HggIhH+9dOq6u3cGd9/726G7FJJAmbX8euzqxTiPnVGBurU8exJz87EMlLF\nBMdDDz309ddfT58+vWvXrm3atDn55JObNGkCYMeOHQsWLFDOFp07dx48eHAlRzQpsrJw1FEA\nMGgQADzwAP7618qNkZBCaLbNJFD+DToBgkMn2MKRmYnSUhQXJ9C6OuQQNG5smfQiroWDVQ9/\n+hNUrmVdKhVGZiZOOCHU2suJ0rBhygVH8+aePY0apfB2iTJoEK680t1kCTVM0z8kLEU1a+aZ\nTCxRyld9xpWAbdpwwVEtOxOrmOCoU6fO1KlTR4wY8corryxdujTXuzxR69at+/Xr9+CDD9ZM\nnYquQK68UgRHdaZOHcv6FyHJzuYDSViS92velZYG1eLZ2Qm3q5TXs0lcC4deBLdogfPOQ716\n2L3bY+GoSMGhDCqpoOxPcdNNePvtoPBZzNmcAHXrJrbWo5o3rFwwEyqrVjt1wrRp5XMvJjjK\n4siSkYF27fDzz2WMUQKRMT+iWDjSguzs7P79+/fv33/Tpk3Lli3bsWNHUVFR/fr1O3To0KFD\nh8qOXXly+OFo2BCtWlkmOhSqAWWp3rKy4ggONoYFB0ZORqNB961Rwz63dwC/+Y3vQlPhBUfj\nxjj3XIwdi0svda8KcCxNBam7XdwP3bAhXyOX0aaNZ/O00zBvnudFBftwNGrkERz6aAgr9eol\nOTG8SfPmPDIPPYT5890leZlLR1nMfqxS95vwIwyRSDn7msSNjCmvxcKRXjRv3rw5syRWL5o2\nxY4deOEF3HNPZUdFSAEJCQ420UJWFh+YwAQHG8OSk4Ozz8bUqcjLC7pvhw58nfe4tGjhKzgC\netAjEU/1oKKkini6KiMDdesmFpmykDpxEzfk2rXjCA5WlfbogYUL3W4vUyqZ3gw6jRvzvgaW\nulhoTZokrz9MMXTMMWjbNiWCg1XqHTvGWXYqwMmj3AVHGAsHe+0dO5ZnBNKEdHIuEmyE7JsX\nqhwJCQ5WYNWpwxMGExy1annCr1HDESjFxUHW8vr1E4iSIqDjI1hw5OS4m/rT0dJ0kUgKHQyt\nUUqR5ogbbNyUwE5gUTUrdZZa9FdtjQ+zoLATEqp6Ta1j7tFjy1RCWfpBWFBx55oOsDqUu+Co\nWzfOVzbzUTqPbU4aERzpDitzy+IOlla+60JwgXLooZ5NVvy1aGExabDA9RNq1LAoV7PATcIK\nHXBJsODQ+z/Vq1C/ZO1PnVOFldS5jCSqJ8KcoO8xXxRLWsF6AkbqYick1OZhYwdNMcSMWyz9\nlKUfJNFrA157RkZ8wZFQamncGDNmwDZdpRsaC7Ai+xMrDKmC0h1VbXTpgtNPB4Bu3Zz99Cc8\nYixJK4KrGVbesU2yWPidwEpM03cPtgI6TKPKbIclZ+HQr1L3VRqLrjLrqpRSXhYO8x2yYM0P\nEfe+LMy4Fg7W1WxW+YzgE9q29Wzm5FgegWBC2RRDqbNwBHckmQRbOOKWlglFNRLBOed4eklO\nPdVzgvmiRHAIlYASHIcdhksvBeBq5MMOSzioNBcc9epVzzzmR3CBxUpD9u1q1fIdFquCZYKj\nRg3ccQfatQsK07xpmIgFPEXAhJKsylQxUXtoUtSKt3CYsOozDGbLmIVsvuSyd6mwjMO6xphZ\nNCsrjpMpC41FuGlTZ+0FRdu2OOKIoKDY5czCwV4XS04nnog77kBITFkWTLDgiKsnkuhz0e/I\nGgxi4RDSAtUTSYUvtS2SSO5pO1hY1TeHHHJwdfqURXDUqWOxeShUgsnM9ITQsCHOPJPPlNy6\ndWJRskYsoCciYB591ijv2dP9T76QIQVHgwbxz4nLxRfjjjssD6JPIKFIwiEjbkWShODQ90Qi\naNzYcwJLG2Y/bNOmnk1dMVhvx9Bncs7M9Bg81DrGelCmDtCjxz4fS109e+K++/jd/QjuGDJh\n99I9lMtdcKjI6C/WfC1i4RAqH2UdpQYr1SssuV98cVAgKu0GGEIrF2W2qWATeqUTXGAFd6nU\nrOkrONQfVtB37gwYJewZZ/CbmoXsvffyPeEFh5UjjwSM9txJJ1nubgqOOnU8VaN60ttuS+Du\nfvTpg+eeszwI25ORgQsvjBOU+Q4T7dFINEw1B7wOm+vCVDzsfOZVGhw9c+kW3T0zM9Mze1BG\nBtfKkYinN+HCCzFmjLtppq7wPRdsss5E3+qxx3oiGffyhIZQmYKDfQKxcAhpgcqBmZlO+qas\nzsoU5hfGUHmeWdTTB8qHeh6r1kOegXiCI9jCccghvieoP5mZbnlarx6efNJyxzC2fb21yq6i\nvpuEOOYYwCheVSBNmvDIsMCzs52pePW4hekGiiu11Y3iSoGcHDz4YJyg4tYc5WLh0CtLszl+\nxBE455ygCJhCKnyEzQ4d3V4SiXjKoowM3vkbiaB9e88JXbq4m2aHHXu0li3hRyTi6etJ1MKh\n544wgiNud5sZAf1ZOnb0ZC6xcAhpARXrV12FHj1w9dVOB+3xx3tOCy52yRGEmVLTBMrqeh5L\novu8ahHsUuNnwFC0asW/OPWXqT9607BOHee7xx0RYLYmA1xNH3rIuVFCJSNV7ayNDqOErVMn\nju8CafG4mLacc8/1SHa/7GNG4Ljj4twrbnUet8/FxDS/650akQhOO81zgppvnjC7VIJjyAZT\nsKOHHea5/OSTuf7Qk27NmmjQgJ+gv22WEkwLB7s7a1mdfbZnk90omICJwuJ2qYTxKmXdXmzP\nIYdw1SiCQ6h8SHC0aIGJE3HqqWjVCrA5gpnQTjKzs87aNEEpfbPlVL0Jbnazo+aoV7OTRb8w\nM9Mtv6hcKxfBQfdVIiZRCwfdwhylwoJiFRWMQvnww9GpE845J35SUWYVnWuu8Ty+anOHGb4R\nZganuIEEn2Bi3lS352dkoGNHj0cOiydbPDuuJGJTTpnzhun06mUxVhHKIsvqcn0zeNCKKWdZ\nQyugHyRuqmBpO7j6r1/fk+PC9PUEd4R16cItQyI4hMpHn6JAYYpl+NReZGBUWSUjo0zD3FMH\nxergERyXXx5kwsnKQq9enj3s+2ZlccFBJ5DgoDRj/qFAGGbNx3ruoEkfdXLSFg79KnUXsxY0\nBYf+CI0bY/78ON5LCtNdulYti+IpL8FRxi4V8ysEOxiqo8znUf9w2dmeoa1mBPQ+DvN2LD6H\nH275dnrgpv5gxRfTH6bVSo+J2asVELeEChAWVHAv1fXXe7qkTcHRogUXdsEWDmYtS8hbpeoi\ngiPdYb6i8KZd2n/WWZZryTSqsjHlonTzHqWioUoIjnLxbB0xIsiHo1YtXHCBZ8/vfuc4fiqy\nsnjRTM496uPq5RcNBEhCcJhJhSpvP7+HYEzBcd11zvAZs96lc269FQCysz3SgR4nIeO2oksX\nS2ILY3sIsygGuyrucE2WEpo2jTOSlnVbqJOvu86zh/maMFmgrKTEZZd5NnX/D9gqddb1qY/C\nZTKRVKl+OSvN9KPmdDJxX4X1v7lpEmDws9obBgzwRIxF9ZRTuP042MJhOuKwATtpWwCWBREc\n6U6zZnjkEfzhD+4eXXD06eMU1lY/cyplmIUjHfwxVZRUs8za6tWpyDU14qIXTP/3f3HcdQmz\n9Alo0JjNnRtuwHvvOf9r1kSbNry8o2+tUoJu4aDeN9MH07wvgwQHfRpy7SyLhUPnN7+xGxj0\n9KCerkEDT9KlB6Qo+Y22YDcdNgzHHx+nXrReGImgfn2PJbxxY3Tq5BtthdlNwGAGmKOOwm9+\n49ljKip93j8zU0cini5Xs25jJQCzcLCZvsyXwPxvAlw11Zm63IlEcOGFuP12e9zMaTlYgMFj\nXxNqsQTMKGNaODIyPKkrEuE++GaeZQqGRYlpqYwM/tpFcAiVQEYGhg7lTmE4kJOzspxsoDZP\nO81R2RddBGgFGVk4VHbV68iIMTNPxaCsL6rgi2vh0McmVDp6MXHnnZ7qJ0BDmC2zgNduFl4Z\nGWjf3hFen32GDh18LRyqptFt0QEWjrjGfBrxSIdU+FStlr1Lhf4ERMYqSWn4A+00x9QoWC11\n/vmeq/TwGdb2tK4PunRB1678HBYOq5nMu5x4Ij8h2KkiEsEjj7hlgnXqUpaVmP646SaPSmjY\n0GPkaNiQdx8ERI8lACYR1P9HH/WcX78++vVzN/VkyaYsMy0c7BOzeyUkOAJsJ1YLB0swbGyw\n2fsTLOgj3qWCxIdDSFNYd6C+2bKlUzZdcQWgNYxUXsrIQJs2aNbMydXUqkuoh8XapEii91Hd\nnUwv+k7rjdIHs+FiPcSoVSuoCRXXV0CVvOp1mY540BqRqrlP5fjAgXj2WecQC9P0PDW/4znn\nOPKUYkhpyeyWDoMpHaxupPBWXVZJ+sADPHA/n2hmhTLlhZ+F4+KLnX4c9c6tPfEMejQ6ZM72\nzTANGOycVq08okSpVQrWfBwWq5o1uXtB16444QTP+bpfbe3aHokQd2J1fbNFC0tM9AHPZvFV\nr57r8XrvvZg50z2ZqZnbb8ddd3kiE5D8yldwmAYJMzexqfaYRQRGytHfuSmt0rYALAsiOKoe\nenGmNzTNTdLgVEn8859YtszJ/2T2SChl04AXPeSkBYdejgc0UCos74W5EfOxZ8074sYbPXZv\nc5Cnvhl3NKD+0VXDiF2iLEYZGU5blrrPunZ128fMe5RcIq6+2nMXve2bleVJLXR3XQEk9HXM\nb00hB4xQMGVKjRqWpbCsguOWW3DKKTxkeL+1StWmXmzcGFlZOO44R7Ko96Y3stu2tUhwJjji\nViSmHcW8xKyzTcVmxoEiqd9CqUz9CwabqQ4/3LOZkeGZ6cs0eLCTYcvLuuCoUQMLFzqbOTke\nay6zl3TsGDSnWRktHMHzcLBXxJoE556LO+/0iMLateP00EUi3M83Ue1eFTkIHrHaYRUc1s1D\nDnFyr+7DUb++04Fqnf3CROVwygzqKsr24QUHc4nK0JxerTmtUgRHmDxvjhiyHjr/fNx0k+fM\ngIH+5gLi1pEC6lcJAtbxr6RbTo7zgciHQw+HIqA+X40azh5l8aLEo0+mSdKHwiHBkZCFw6/2\nhZYOs7K4emOGDb1GOfRQV3AEBN6kCd54g9vhWS3YqxdU74xarohFW9U0+sPq7pl16/oKDqvd\nzhpJZgKJREC9RYqsLI8XlxnJ4D0R79q8zFegUSOLatQ32YRsjRtzwaFnbWutHyA42LdgUpv1\nUwTH03ojRevWlili2YfQ7Uym4s8wnGH1nHXttR7HFDOq5nswTSZi4RDSEZWUKQUza7C+GTkw\nCSBVQgq1U+lrCsEvfavaiM3lQBUkCzmgm8BcrAje4iadLRz6/p493ZY0izMzfrA+2oAuFXOw\nX4CFQ13I3qfapNmEqP9Fb7dR9FQNceihngkwqEjVB77SA9K1JF7pC4b5OhQNq62CDumuBnpl\nw/QubNU2Drwf8gNo0AADB/JW8iGHOGM0yNmTHEjVtOv6t1DXsqjqb96sAsm0TjEMHmUK28Rc\n99yDo4/2hKm3+60WlOC2vtkNRCeYji/siZgPCpv4JOJ1nwxT0UJ7CeazMMHBrg1WGH6Fhjmq\nC8aHCPaoMC0cwT1r7EFMdR4xLEMiOIT0hVXS1i4V+qOKacpyRxyB8ePdUV5qv7nkgX6UDUGk\nTnFVWrHJoNQlrAluDniDUdyoP36ufxWAXybXI//Xv+Luu+3nM7115pmezYCZheJOP6B/Vr03\nik5TRgtdcKg9eswpAmefjZkzcf31HisIJR6qUPXbsRFP+idT/0MuDcNqGviLVN3gQamFGtPW\n4l79oah2745HHnGfSL3kt95yTETkJskuZyNvSXXVrYsRIwDg8ss9t2ZpICvLWYvOz8JhmgM7\ndeK13Uknebw4a9YM0t9xLRyAx8JhvTwgzGOPxZAhnkPhq16WNsx3YrVw6GkjvOBgBGgR67VM\nRwZPQWZmZxagVYjrtqXMTJ7yRXAI6Yhu4YBhKrBuqgyvF2q9ezvFbmamuyAtgFq1nPKaPElV\n9U/9uGq/OueCCxxnNDqqZiFU+Yr1obCReFYLh0JFLLgBkSL8OghY/64qKVT/lA4rQUyFwVpv\nRNwlJNQbIKMUDnxN6gZu1QqZmcjJcTWE+nC6jqS7KDFEo1RYaqGpJPUOr0aNPLLVlLbM4sLQ\nbw1vBcDqWv0lUODm1HABFg46RJb/tm3x+eeOvyHrGzLD1C03agVjteeQQ5xJxtq18+Q+9qXO\nO89dcNEaVVOZtWvHl9WA91X4NQasm7Bpghtu4NOtBlfV7Cib35MFfvrplvgr1LP/7nfo29fd\nNP+w0kw3pzEzQHIWDivsBN13PmLMXM76+yJGD6kZOCs04J3vJCvLk3L82hjVDBEcVY+It0vF\naiRg+VmVrVddZQmtWTOPBZiyAdU6qqecnMPVwp6qdqlf37FLn3uuc191rbpd06aOLlH6g1VI\nrKrTIx+mxaZQZUQ5Duv1u5HVg71uXTRs6LmEueaZDUF9RIZeHrVpg27d3OmYjj3WXvooZ/4M\nzf2FWvONGuGaa3DVVa6FQ71wq4WDWReYhUN9vpo1naY8fSP941LRT1fRQEcrZpeKom9fXHKJ\n/RJdn7GhMfD56Czx61xwgaOAKQSqRJngUL833YTvv0fr1s6Hi3g7VqipqgsOdUKfPjwabAGj\nBg34uDDTXM+ewjrW1C/XRCLc60LPmyZxLRzmIXa0ZUv3jtZav3ZtnHsuYOhOGOlBbV56qdMz\nddxxFvniF8+AaJsSyryW3K7VoQEDcMstnqNM+uiOLGaAmZl8dhN4vWFEcAhVA72A8DNpsM0b\nbsCf/uRZFRpauaa3KugS5rTRu7cz5kIVteRJSoZ93ZlDladqfiocWMrB2mS3PotZApp5T+V2\nVYX4mSWSQK/Lday9IWas9AvNNauY4NBnDj3kEHzxhdsFc8IJli5kwPNxVcWvj3x+7z089pir\nIdQJwYJDr2IpJahLzjsP48a5V1H1r1tZoH01q5wlzMnH1FWXXspnhdL/06ZymiHnytNP94zb\n9FPbAbWRdb/+NnJynPyi96oQ+i2ot4IuV2+MPg2r/hs2dBbvtT6pNbbm/Fc6LKnceCOOPDIB\ngWLeLqHNYDnCihGzR4z10Kn9H3+M5s3RsCE6deKWTna7uL05fpsw3tvll2PoUIwe7ZzcsSOu\nvNI5NHQo/vQn/tQDBuC++4ICZwvssdPY6gRMf1jDrAaI4KiSRHwsHBHD0K3+nHMOXnrJt2JW\nl9B6FmqWLapdlLG0fn0n/6iJTZV4J1Wuil2qk3r3xpFHokULj0+idb5Fa81t7jTzntI01qIz\nUcyK5Iwz8N57noYpK9esPUEwZqBnj8A6SpSLoh6+Ov9Pf8KQIfbmjv7S9G4yvUKid64io0eJ\njEzWKpYirC5h59BT05u3pjQrv/udO1M7u5e1VlCjRTK0pX9U19WxxzondO2KPn0sN1KvNFEB\naj6pvtOcHk0/Gom4Tqb0MlU0qAvDtO4w9yarhSO4Umdx0DcBwDpiAAAgAElEQVTNvi2rNchP\nlvndLji2+maA4KD5NujuyjfWjAz53oYXXvB/adar2M5DD8Ujj3iW8aNYnXUW6tblhUDNmu6E\nhFbBERzVzEx06OCmjebN7W711YwqKTgWLFgwbNiwxx9/fNq0aebRoUOHDh06tOJjVWHoWdos\n7pn+0GsUMxw9NGXPP/VUtGzpXnLOOa6lUe3p3h1Ll2LYMNSqhYYNXWt8s2Zuhdq0KebNw9ix\nThayTnLA4qnvNP+b+FX5Ya5lmMtSZGXh+us9dm+r4DDfKusGZo+j16CRiGcaCX1yi1atUKeO\nvdDX76veqgrEHIqSmYnGjRHxTjF59dXOjHDshTMRwAp6ZuEgOWLVuMccw1fiANC0qcWWrkeA\nUEfVuNOMDNdDhXX6+NWIyqJmTseub5qJjf4oicBieP31uPJKy9ekP+xFZWY62l1fq5nWQwZw\n9NH8FqwepYcl4tbxOqZeV1ZJ9rzB7emAzcMOC4otiyq18lmWCbZwQFPMrCMjIGJ+38i66XeC\n+ZuV5ZSN7Iv4Xavo1Clo/DyAzEx07uz269WpgxtuwL33Bl1SDah6gmPgwIGdOnUaNGjQkCFD\nLrrooiuuuKKoqEg/4bHHHnvssccqK3oVgMpX1paiX7szuM2nLlGFu3JKiERw/fWAto4U1TdZ\nWTjmGGRnY948DBvmLPqgjlJbUNWmtWo51ZtqxJxwAmrVQkYGTj/djVKA7EhOfOh7zNCs74GN\nv4etxLeW6eZ9Tz7Z9Z4zKwmqiqCpFoVex1ujqt9RRa9OHXTr5rih6WKOqr2HHsL33zvyUdGq\nlVuXm8FShNnjs7428uGgB9FlylVX8bVF2MMGSwelFdjcZeZVfqi79OoVtBKvCYXZqBH+/Gdn\n9hTaOXw47r3XTf/sEnMoTZ06ToLXhYjyNlV7Tj2Vf9waNeIIDmtVapXp5lH4DCAKKBPM2+mb\nbMiMCufii910oofMJKOZ8Ji6pRPq1+czziFeTg94QGuysWYxU9nffbczdV747hsAPXvaJ2Sj\nP6qpoD94Tg66dIkT56pOFRMcr7/++osvvhiJRK677ronn3yyU6dOEydOfMCc4rhaE/F3GjUF\nhzn7kx6OfgkVc61aoW1bXHstcGCiyQYNXDFB+f/YY9GggTMEPyMDV16JW291qlu6u/K0UJe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NB/uftTKw6TU1tGMH7dxJmzYlF+jbgCL9v9XQPNoAABAxSURBVG1boEgiHnf4hKqJ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",
"text/plain": [
"Plot with title “Micro 2”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=6, repr.plot.height=3.5)\n",
"for (i in (1:p)){\n",
" plot(y[, i], main=paste(\"Micro\", i), type=\"l\", ylab=\"\", xlab=\"\", col=\"blue\")\n",
" }"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Local Fourier analysis of sound.\n",
"--------------------------------\n",
"In order to perform the separation, one performs a local Fourier analysis\n",
"of the sound. The hope is that the sources will be well-separated over\n",
"the Fourier domain because the sources are sparse after a STFT.\n",
"\n",
"\n",
"\n",
"\n",
"First set up parameters for the STFT."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"w = 128 #size of the window\n",
"q = floor(w/4) #overlap of the window"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Compute the STFT of the sources."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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lzASAc/6OmWi8QJnNW3aZNEWWuw6ePUUE6tWayXwdhmsY4A44Kx1vXc0N1ABVrP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\ncAAA4f4DLPJAxrHAzzMAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title “Source 1”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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q3lRrIZ01C0x0Tk0+M0jNzTTtqkNgUKmugmlSIKCgpdtGLTAMSwOqYQktTQZtC7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PnLX37FK16xqC1cipyGVY8dO3b48OFXvOIV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\nrkJggg==",
"text/plain": [
"Plot with title “Source 2”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cFT/SyARXAK5DAzDbDyHKLFzEzw+AXs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K/4fGcGbBh9+RLCoVapv0iL5cbqaEKrTqU1vMpZ0AACAASURBVFctjABUSFd90tdR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\nxIwSQoWfQARIciLphNqswA71bZT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wpb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\nTkSuQmCC",
"text/plain": [
"Plot with title “Source 3”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X = replicate(s, Matrix(0,nrow=w,ncol=4*w+1), simplify=FALSE)\n",
"Y = replicate(p, Matrix(0,nrow=w,ncol=4*w+1), simplify=FALSE)\n",
"\n",
"for (i in (1:s))\n",
"{\n",
" X[[i]] = perform_stft(x[,i], w,q,n)\n",
" plot_spectogram(X[[i]], paste(\"Source\", i))\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 1__\n",
"\n",
"Compute the STFT of the micros, and store them into a matrix |Y|."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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pEoledFMr0zqFWrYavVrObHpzUq8KL8GuVpe/DeAwiIOqFrLrPphvI8YKN9YR2j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\n+RBoFgxgA3cCwD9RMIzHICQlirI0pt8M91KiM5xUMBtrE4Vpb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mfZhakh0Qz7NUZ/yEdm2PeYTMGtTBQbwIjpA7wJXsD4dvZrjFKiTZaO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\n8AqxNogPPV/OFww7Ppoc9774+NLDqqrponsH7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"text/plain": [
"Plot with title “Source 1”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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/6HxkE40dSMs7pZAruhBc6AMbh/kvos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23/ECoDcrXS/ep81hQGZJ2kTiF+5xvs/QkhPKVDUAACAASURBVIhESLDnGKrCPyqM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\nxlFwAAAA4yg4AACAcRQcAADAuP8HY1fUfBQZrxkAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title “Source 2”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"source(\"nt_solutions/audio_separation/exo1.R\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Estimation of Mixing Direction by Clustering\n",
"--------------------------------------------\n",
"Since the sources are quite sparse over the Fourier plane, the directions\n",
"are well estimated by looking as the direction emerging from a point\n",
"clouds of the transformed coefficients.\n",
"\n",
"\n",
"First we compute the position of the point cloud."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"mf = dim(Y[[1]])[1]\n",
"mt = dim(Y[[1]])[2]\n",
"P = matrix(0, nrow=mt*mf, ncol=p)\n",
"c = c()\n",
"d = c()\n",
"for (j in (1:mf))\n",
"{\n",
" c = c(c,Y[[1]][j,])\n",
" d = c(d,Y[[2]][j,])\n",
"}\n",
"P[,1] = c\n",
"P[,2] = d\n",
"P = rbind(Re(P), Im(P))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Then we keep only the 5% points with largest energy.\n",
"\n",
"\n",
"Display some points in the original (spacial) domain.\n",
"\n",
"Number of displayed points."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"npts = 6000"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display the original points."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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mraNPF7Dgqi2rWpXDl6+jSup4SHi4y9kBDDQ25uNH8+eXp+15B8fEirpTx5iIiO\nHKGXLykkhOzsKG9eYSPKfPpEQ4dS167Urx+NGEGLF5OrK/XunZAViE6fpvXrKU8eatKEPD3p\n0iVq0oTWraP69en2bQoMFM1ev6YSJahpUxo8WOwZOJCyZxdVQN3cyNJS6bNzZ7KxEdVhiCgy\nktat07PnDPjwgapVo4wZaeNGZef587R1K4WHi+IyRKTRiEPPngkjtUkTSpmSJk6kwECaMMGw\nW1dXIiK1WvFFG62B/u0bXbwofrOJRcGCwntcvnxidsskA5JaiZMBbBHGC60WqVODCFZWegZH\norB2rfjO3rdvPM46eBDjxuHNm0QeDIClS0EECws8ewYA/v7Inx8qlRhkpUrIkQOrVonGQ4bo\nmVxr1sTU8/37mDEDDx8aP9qihejkwAGxR7Kf1Grcv4+AAEyahJUrcf++GEyzZsq5Dx7Azg5W\nVjh/3rBbKWfg33/RoAGsrfH333qHzp1DYKCyx8VFjMHFRey5c0dcbtIkADh7FpMmKfbu+fOi\nfZcuMd04gNu38ewZwsIwfTomTVLMWV1cXUGEFi1i6Sq++PsL455JdNgiZEwIlYomT6aCBWnm\nTD2DI1EoV47s7ChFCqpTh4jo2TPDtdqNUr06DR9umEAdL+7epbZtjWSaS4slaTR0+zYRkYMD\ntW4thmRjQ6dO0bNnSmEwqdKKVMNz3z5q3TraywFUuzb160e1a+vd4IEDVLAg9e5NjRuTlRU5\nO1OFCuLQqFE0ZAgVKUIrV5K9PQ0eTN7eVLgwtWtH/frRtGn0+TO1bElt2tC+fRQYSKGhRla3\nkCY7Cxaks2dFsRv5NrNlI3d3KlJEzKdGRCiGGiBSGr58EaP9/JmIyN2dBg9W7N3MmalkSXJw\nIHNzCgmhzZvFQ4tK/vyUPTtZWlK/fjR4sJHQnqAgevCAiBKh0IwBDg7CuGdMi6RW4mQAW4S/\nFFIKOYAuXUCEihWh1YpDWi1CQ3/IRZs0EakCN2/q7X/6FC1bYvBgaLUIDsazZ7h3D5Uro3p1\nvHuHihWhUmHIENE4PBx9+sDJCd27o107NGggMi7On8eNG3rdRkYie3Yxnfbtm7K/QgVhVN26\nheBg5cYlGjYURy9dwvv34ufcucXRWbPEnnHjUKkS3N3x4oXxm/30CZaWIIK7u9jToYM419xc\nMawPHxbNzM1hYYHFiwFg6VKMHClSTU6cQPfuSvpH1aqiE5UKf/0lfAZv3ioZeeEAACAASURB\nVODDh7j9DvRZuRK1auHIEfFxxgz06YN37xLSFfNz+JUtQhbC2GEhjAFdX9lPJmdO8Rb+8gV3\n7mDePGTPDjs75eUo8eYNChWCiwuePEn4tYYOBRHs7JRswoEDkScPNm8WH6dMgVotIlCkWjAP\nH4o9s2Yp/RQurOcdHTgQ27aJn8+dE23CwjB7NsqXF/tlzyqA6dOhVqNIESUVT5dmzYR2SgmF\nbdvC3h7LlomjZ85ArYZajYsXxZ5r11CiBJo0MdLb1q3o0gW3bqFLFxQujEGDoFLBwkLvXgBs\n2YJKlRTFlb+FvHyJyZNhbQ0i/PGH2CnlHUr5iy1bCkXMlw9qNaZNi/bJnz+P7dsRHh5tAwCn\nTomee/WKqRmTtLAQJm9YCAG8fYtz5wxNkLp1oVZj7NgE9qnVol07FCliZLIqLmzahGLFMHOm\nkjAuba1b6zWbP1/sHzYsgeMEEBmJkyeFwgH48EGInGxvFSyoDECqOnbihJG38+TJUKvh7g5z\nc6jV2LMHU6aIZqtXA0BYGDw9la5UKly5gtBQjByJgQPx9Ss+flR+CxERmDgR48bh2zcEBcHK\nCkTIlk25nNTS2xsuLmjfHs+f60Xz/v233oBluneHtTXGj8etW4p0PXuG4GDjD6dpUzE1OHiw\n2FO0qHILRYtixQrMnYsHDzB1Kg4fhlaL58/Rvz/mzBFtnJ3RvTsuXdJ74IAygHHjoNVGO+Us\nf+eYMSMWyWSSEBbC5A0LoZ+fSAkYM0bZ6e8v3j5Zsxo/S6PB/v2GTj9dLl4Ur7k///yu4X39\nipQpReWU7NnRqRM6dBDRKwAeP0aGDEibFr6+33UVA8qXh1qNMWPE23n1aqRKJW5nxQoA0Gox\nbRp698b794ajBfDhA548wePH8PND794YNgxhYfj6FR4eioRMm4ZHjwBg/XqxZ+pUTJ6MFi1w\n7x4ADBsm9vfoAfxnbjZvLi4UHo7nzwEgUybRzMtLGYZWK7yvNjZ6RXN27RKq5uCA8HBkySLO\n3bcPGg369kW7doZhR7JctWsnepaMdSkHY+5c8bPRF2CPHnBxEdFV2bLh5Ek0a4Zp05AqFcqU\nUfJASpZE9uxwcMDZs8Z/Hb6+2LkTzs5IlQonTsT2y2OSAhbC5A0L4Y0b4n3UuLHe/v79kSWL\nMGWiMnOmiGOU3tpRCQlB1qxQq7Fy5feO8NgxDBmCBw9w7pwY6l9/KUcjIn6IofD5M+bNg6Ul\n6tYFgB07xKWHD4/T6WXKgAitWil7Bg/W85rKFchOnxY769UTP2TPjsmTlaRAKSg0NBSXL4uz\nNBo4OYEIffuKCxHh6FHlWu/eie8xBQrojapcOdG4Xz8A6NFDufTu3XqHAERE4PBhMYOYP79i\nbvr4oE8fjBmDK1dw6JA4K4Yy2fnzgwglSsDCQsindIpszct1xqXqbkbZu1e0SfRQUiZRYCFM\n3rAQApg8Ga1a4f59I4f8/TFzJrZvN9wvJ0THkLGu0SQwViI6Xr+GuTmIMGBAYnYbHcWKiXu8\ncwdbt4pZsVq1Yj9RtoZtbJSdkyaJnXKUisyVK2jbVm9+Ud5Sp4a/v2H7S5fEUSsrdO4Mc3PD\nLzEAxo1D6dJKAobElClQqZRpSFn8pk3D/ftCOytXFo2nT1eGYWaGoCB4e8PbG58+oXdvjB6N\niAhotdixA2vWKDa6hFaLWbPw55/Yswdv3mD9eiXZw8ICqVPD3R0+PqhWDS1a4MMHlCyJnDlx\n7Vq0j1SeKYwutSYoCFu2RJuRInPzJtq1i/brHZNgWAiTNyyEMTNihHgB6c7xAHj3Dn37Yu7c\nnz0eaYIqS5YEZjFu3oxu3YxLvi6hoejZE+XKwdERLVrA0VGRBCk8xMcHu3ZFW6p75UrROF06\nAIiMRNeucHNTJjujVnUZPlzMGtasKRQuXToQwdJSL/5TmskLCRH1dGQDy8LCMCjm40cMGIBp\n07BvH16+xKFDCAhAnTowN8f06aKNVosVK7BihQiEyZNH0cV27RST1N4eTZpg82bFJpN+kIOJ\nKlZUJOrRI8yYIQJxieDoqNi+c+agZEns2oXISDx4oGRkHjoUy68DwIEDonF0k9adOomhSlHH\n0VG9unhoT5/GflEm7rAQJm9YCKPi7Y3WrYWpN3q0eEFfvZrUwwIAFCkCIqRPr5d4EEfevhUG\nZbVqsbTcuFG8dkeMwJYtigqmSIEWLXDwoCJC27aJUz5+xPjx2LYNN24I00oa5/DhIs5Fkiv5\nRIPglM+f4eAAItjZIXt2eHujd2/ReNQoANBq4e6uZDLcvi2mTnPkgI2NkWJmUiistEm2rFwN\nQA719PCASqXMDUs10iTfrOT3lu1aIsUHK6dbSLkTAQFCjKVAHmkuU77TChX0RtWzJ+zsMGMG\ntm4VDVQqJdJVQqMxsvqEVov58zFunJiFjUrduuK6BrapAVJaTtq0SRkR/VvCQpjIXLt2beLE\niSNHjjx8+HDUo+PGjUtc0WIhNECjEYZLhgzQahEUhMWLDT1sSci9exg9OlpVfv3aeB7FwYPY\nsAEHDojcON0pRqNcvy40Y9s2nDiBHDn03JVyqgARmjQRp/TqJV7rY8cqR0eN0lsdSZIHW1tM\nmGB4RY0GGTMqLa2sRBICEdzc0K8fFixQPkrcuIFZs/DqleGCR5s3w81NmQ6URiVZS7lygQiZ\nMyMiAu/fi/05c2LsWDx6pEh+yZLCmKtZU5nSq1QJU6diyhR8+4ZTp0TOZaNGcHXFP/+gYEFs\n2oTwcBQoIJTG3R1duiAsDHfuoHJltGmDgADxRSRNGoSFoWtXVKyIEiVEXBIAX19s3iws0a5d\nDR/R4cNYuFBZD+vCBXTrhtOnxceHD9Grl/K9JDrCwnDwoBIhzCQWLISJSc+ePXULAtSrVy9M\n3wWW6IUCWAijIrkfy5VL6nHEE19fqNVQqbB/v97+7dvFqzxtWmEexTxz6e+PoUPRvz927BB2\nhqwl0jZ3LlKnhqUlcuXCpUuIjES1asLsU6tx/bqoECbp6NChsLZWPJlEqFgx2vEPH44MGfRE\nVzIrJSOyXj1kyqRX7PvKFWTKhHz50KoV5s7Fly8IDlYMUGdnVKuGRo0wejSaN8fu3XB2Fu5W\nyak7aBDy5RP2oo0NIiKwZ48wB4sXVw4RwdMTCxcauhMld6509OVLZMwIR0fs2IEJE3DzJooU\ngUqFSZPQubNo5uSEDh2QIgUmThQ9fP4s7M6cOfHxo/IMiZAnDwBlKfn+/UUnJUoAOsGr6dIl\nfqk/JgGwECYaixcvJiKVStW8efMxY8YULVqUiHr27KnbhoXwJ+Dvj337fqrv6MULtGyJfv2U\nF1+saLW4e1fPGFqzRvFn6tKundgvzbq5uOhdJTwcbduiWjWRzABg2jTR3tZWUSPJMPL0xOXL\nwthKkwZv32L2bBFAK+3x8oKXl3ih58olhhcRga5doVKheHFUq2Y42yozbx7MzFCmjKjMIm+y\ni3LkSMNT+vQxVM2OHZWkCGlr2VJpv22b6E2eafP1VVq+fg0/P2G06VqTnp5wdxd2qhy5ExGh\nTCLWqoW+fcXP/fsDwPPn4mOBAvjzT6U3b2/Ducz+/ZEjB9avx4oVok3RovDwgLc31q9HypSo\nVQtaLdzcxNGcOcWJpUuDCPnzG/4NlCyJ5cuNP2Hmx8FCmGi4ubkR0fjx46WPYWFhlSpVUqvV\n13SCyVgIfybBwdi9O65+JK0WZ8/GKX3+zh3DMBP5+77RtY0MCAlBjx7InRukE+IojbZjR7Ro\nYZjbd+UKrK1ha4srV7B7t+Gl5chJV1exZ906PU+mpHCST7VePQAiHTBdOiUjonBhYTJKvkdZ\nQnTDQOTJrT59UKAA+vZFliwoXVpJjJOdmf/8IxY5ov/cpNIPAwfizh00boz//ovg4kWkT69X\ncEClwtGjelZs5cp49gzz5sHXV/muoFJh6VIAuHBB7ClSRPQ5Zw7KlFHUt3RphIcr6ij/X9y1\nS+yRdTdvXuTLp1S17tsXrq7Cy2phgZw5Ub+++Ary4AFatBCxSEWKIHt2nDolYnRVKuWLghSD\nQwQfHxw9imLF4OmplMH7+BFeXnjwQPkGo9UqRv8PqsZnlOvX0aaNXpEgE4SFMNGwtbUlorc6\n791nz55ZW1vXrFlT3hMvIYyIiNizZ8+WGKlYsSIRjdFNJmf+Q5qmSpMG/fqJ9O0Y8PYWr62Y\nJxSXLxevKt3EbTlSP+r/I60W+/djxw7FjJMXqZBEIrqSKLp8+2a8bhmAV6+Ul/6tWwDw9SsO\nHMCFC9ixA1mzwtUVT56geHGkSoWdOxERgcyZQYSKFUVAikqF1auFdEl6KW9R0zyePROHZGmx\nt0dAAADs3ClGYmYmSnemTInGjXHmDJYtQ58+ePJEmTjs1QsbNmDGDGzahOBgHDumeFDv3kWB\nAnq+XCmsJk0apbQbETJmFENavRrjxul9e/D3R6NGKFZMVA+QU/4zZxYNQkKEB5UIZcsq1l5U\nWrcWj0g3A0d6gLpb0aJictHZWflFb9gAe3vUrYsLF5AvH2rVMkwY/fxZ3JpsAjZtCvruGg7x\npVo18QuNOU7n94aFMNFIkSIFEYXqf5cbMmQIEZ39r+ZEvITwyJEjcaxO3r59+0S+GeDJE5Qp\ngypVjOSBJRfkQEEiNGwYS+NFi0TLuXNjWhRJCnM30Es5Xb1PH8P2hw+LQ/LCRleuiLe8i4t4\nA966BVdXVKqkiGJYGG7cMCwaFx1SdoSUYLd1K2xskCYNXr3CoUOYOxd+fiIQhggFC8LBQRHO\n4sWxaBHWrxe2Y5UqwiJJnx6NG6NGDSOVryMjRYK5vGXKpETADhsGS0v06oXwcGzahCFDcOYM\nOnRAqVJQqZAiBQYO1DP+ZFs2IkJMTObPDwsLpEmjJzbSgFUqUeRF2lKnxpkzCA7G3LlwdYWl\nJbJmRZ48OH5ccfaamSFnTuV+W7TArVu4f19xY0ptBg7EkiXiacvPfPt2VKumxL7q/v3IPmfZ\n5pYDVjt1Mnxc0CkLvmuXcsjPT6gs6RcuePQorr/3xEKKRE2XzqQjUVkIE43cuXMT0Tm5PjEA\nwM/PL3Xq1CVLloyIiECysghHjRL/S+fPT/S+fxJXr6JVK2Hl/PNPLI2DgjBsGPr1g7091Gps\n2WK82YMHqF8fffrova3Cw9G1K5o2NbKeuxzKOGeOsvPhQ72aavIEleyekqav/v4b06ejenWc\nOQMAs2fD1RW1aiF3bkyYoKimbuUzaeaJCDVqCKX56y9FcqREAkmTiODggAMHcPWqaFC2LHr1\nwsCBuHULBw6gVy8sXGik6o2vr5hxLFMG6dIZLpguW64lSoBIz0dKhA0bhNbqbubm8PQUJqYc\nlVO/PqyskDEjPDyUuqOyLsraJv8gbwULGgnYof9cxPLPurZv795YtQqbNyNPHmTPjrt3odWK\n2jdESJkS6dLh2DHlHjdtQqFCmDoVwcFo3154uVUqqFTYutXI38zu3bCyQvbserkTEyYo1uSd\nO0bO+k5CQ7FnT5x6Dg/HkSN4+RKLF2P1asMgXhOBhTDR6NevHxEVLlz4vn7C87x58ySjTfPf\netiJeNEfN0d4/jysrGBvj8ePE73vn4qvL9aujeu33f37xeupQwfjDR4+xNy5Iv7w6lU0aICZ\nM2PqUKPB3LmYNs34Cq4Sx4/DxgZOTmKlHj8/YWrI1kzJkggPV2IgpS1XLhFw+OmTMj8nG8Gy\nQsimlUqlmLNp08LDA6VKCcN0/XrhlCNCt256zttMmfDXX3ovRzn7Qq7lbVBR5cwZZMsmJC1D\nBlhaQqVCiRLo0AFhYRg0SM8oLFRIeCmlNrKQy3ZnixZ4+1bEi8a6qdWGQlu8OJyc4OYGR0e9\nlAzdR6TrhiVC585YuFCvvLjkczbKypV6JU9lIiNx+TKCgsTHwEBDgVm2TJx14UJMfz8JZuRI\nofdRv5wZRfL5ExnX8t8eFsJEw8/PL2/evJLUZcmSRd6v1Wrr1atHRDly5EhGQgjg69eE5H3H\nHY1Gb8GBX4HwcLRqhfLljX+V1mqFE6xAAWi1qFVLvEajJlAbcOcOWrTA1KnRNggK0psFnDcP\nlSph/34hEr17AxDFPOUq1WZmiutSWuTI6Gtd3v73P5w8qRx1ckLWrCCCrS0CApTKmRRlppB0\nimUDwgAiQooUwgyyttZbOV32+BFh5Up8+qTkLQQFiVkxeStaVLG9Vq3C+PEoWxbt2yu1XYiQ\nKhW6dhUrN1WubDi2LFnETVlZ4fhxYYNKCzN166b3kOUwIrUanTrh9Gl06oQxY/SkMWNGIbp5\n8ghPrINDtL7KT5/EV5ZUqQxzK3v2BBGyZ4827CUiAvv3xxKcFRKCdu3QqFFMvvro6NhRPAcf\nnzi1X7VKPASD5T5MBBbCxMTf33/kyJEFChSw0a3SCISFhQ0fPtzJySl5CeEPJTwcOXJApYrF\novqlkNekzZULWq0wbuIyudK8uXjL/Ptv/K4YEoLr15WP0veG8eORObNY1UHi82fUrKlopCxU\nkhdR8lJKBqWZmZ4UVayI1avx+DEaNTJiXel+vHwZu3ahd2+9nEJ5080S2rlTyIO5uSKBjx+j\nY0e9ejFRlVsamBTa+uSJKFUjb0uWAIBGg/79xVueCK1bK2E7KhV27lQy6ImwcCECAzF3rrBy\nIiKwZAlmzcLdu3rBNcuWwdkZmTOjf38EB4v6AxkywMcHI0di/fpoI5UiIsSXicKFceqU2Hn4\nMLJlE/OIarXxWmgfPqBAAeTMiW7d4OER7ZIUcphP3rzxdp8+f45evZQVH2MlPBxr1mDz5p89\nQ/mLwEL484iIiPD19d2zZ08i9pl8hfD2bfGf3NPTyNHgYEybhgULkmDG4u7daJdHB3D9OkaN\nEr4yrRYXLsDPL/Y+s2UTltanTyLG0oD791G5Mlq3jn0lishIYUKlS2eYtujrq2cOTp6MyZNR\nsKAwcXQVQsqrI0KnTjAzg0qFf/6BWg0nJz3/oa5ZtmmTYYqe7ubiojeS4GBcuIAXL3D0KNq1\nE/9Gd64sY1KiRZkyopPy5fVuR8rwkzx+6dNj1SpMmWLYrW57c3OkSKEUIJXEJixMhImam+Pa\nNXTvjnTp9BIf06YVSp85Mz58EJO1Uk3wJUvg7KwEBs+ejbJl4eUlCjjY2YkyofIqHGSsQLmE\n7IeUtlKljDe7e1f5rck1gJgfAQth8ib5CiGAnj3h5qZUmdJl3jzx//8nz1js2ye+yMewkkB8\n+fRJWFfZs6N2bajVRlLLJU8akRKkM3Ik6tUzrK996BBy5xbTYCVLGnZy/LjybpUcnrL1Vru2\n3pu3Th0MHy7mCGWT7tUrBAdj3To9U0ySFmnteMllqiuouqoT1X0XGSnqrqVLJ2KvYpBSIhGs\nJC2M9fq14VELCzx4oLijPT0xeDCmTo1WVnVLvkmnlyiB4sWVPRMmiN+LblFyg1OkB2hvjwoV\nxJqOlpb49g1fv4qnkSOHeLZp0gjHgJeX4lsePdr4n4Rc7lWK34lhbayHD4VxGYNfnfl+WAiT\nN8laCGNg9WrxpohLaf9EZPx4cV0pBe17+PQJixfj2jV8+iQEwNMz2uWCd+yAWo2UKYXzU04q\nL1tWr5kkA5IalSqleLG0Wvj4wN9f8Y6qVMiWTUmQnzRJvNOrV0fbtkJf5cm5FCnw/DmuXFFc\nuLo5EoMGiSRxeX6uaFF06qRUZiFCqlSwtBThMLprCUnBL9myIV8+9OiB06fRpAk6dUKDBqK8\ntbTZ2KBcOcUD+eEDLlxAnTqwtkaxYiIqR9IMKd1Q3v75Bw0b6oURSfonZ/FLsh1VvFUq2Nmh\ncmWYm2P4cMUPbGamp9Zt2yqrWdF/lllEBLp0ETOI//sf3r/HokW4fVu56+BgXL+OnTv1yqed\nPYsBA8Ra0LLPc+RIvelVo3z5oucej8rWrXBzS05TDL8gLITJm99VCDUabNtmWHUz7oSFoUYN\nuLiIFQbizvv3aNsWXbtGGyX07Rv274/TOoVSzEjKlMp6Dk2bYtAgZMtmfD25N2+UuUZ5cYNi\nxcQeyUW8fLnea/rkSXG0a1ehr82b6y0NOHUqOnVCjRpo3x6nTuHIEcWbqtGgY0eYmyN1auza\nBXd3Q3PNwgLW1siZE4MGCYft3r1IlQrly0OjwbNnyJ0bdnYYOBAHDojYVJVKiKutLfLmxeXL\n8PfH7t2icreFhVJyWqNBkyZwdNSTqP37cfMm7t0Tk4WSoWZri8BA3LypVzFOd1u1ChMnip8d\nHIR9ZhDvI9m1cvFuef+wYRg0SHyrSJ9eNJC+MajVqFMHX78qvwtpq1JFCS2O+yq74eGiQl6+\nfOKvqHNnFCqErFlRuvT3LnsphS+ZmxtZV+vdu5hCXqPjyBEUL46BA79rVMkLFsLkze8qhN+J\nvPybbqXK6PD3j0eAQJs2IEKWLLHH0zZoIN6qb95gxw4MGxaPEFmNBs2aoXhxESKxbBlsbVG2\nLF6/hr+/KGKSOrUyBikcRnqP29rCwwNmZkifHq9f484dRQCaNBHlEU6fFraaSoUcOfQS73Ll\nEv2nT68kLaxdKy4UGQmNBm3bKqdkz461azFmDOztDQ2vFi3Eg5W1OVcuhIdj3z7UqaM0k9Pk\nu3fXs96kSxQqhMhITJwoIlSjCqGuOThqFJ4+xYQJOHkSa9YgXz6oVHBzU/rs3FnUwzMzQ4YM\nOHBAMTENslNGjRLPasMGsRivdPWUKfHsmRDadevi+gv99k18RZBnQOXkUSLMmBHTuSEhsVRc\nk8qCe3gY/hm/fCmillaujOs4JeTicLpm7u8NC2HyhoXQKAEByJoVVlZ6qV0y/v5Yv1548JYu\nhZkZChWKNjLQAClRz9JS5PzFwPPnGDkSR47E1Ca6VVhDQzFqFAYMQFAQpk5VjJj06eHri/79\nsXy5XhhR7dowMxN+UWdnaDTQaESDz5/14jyld+4ffxi3rlKmxLFjOH4cdevqqY7um1SuRae7\nZcummGUqlQhUyZQJ2bMLN6yLi+j/5UuR1y+Lk+xxrV9f6bBCBRw9CgcHpEiBtWuRL5+ijrLd\ntnmzqAUqb3/8AQsL2NqiShX06YPgYBHKJK8gkTcvbt9WrmhtrZTdkevX0H/Gpbk5li0Ta+ES\nYcgQuLkJa/7TJ+HSHDUK+fPHPpMtF+GTjXh5yehUqYyk6r54IYKqrl+HnR1SpYrFg/r4sZGw\nMvnrYOfOsQzPgEmToFLBxSX20K3fBhbC5A0LYXRERkab1dCqFYiQJg2+flVec5cvx6nbf/9F\nu3aYOBFVqhhZTjZeSBGPRkveyNWlpeAa0nHuSYaFuTkqVxZLwgYEiDYZM6J1azg5Ye5cALh5\nU8wtyemDKhWkYn9StrgkSNK7WJ4Jq1nTsBwMEbJmxeDB4tX8/j3s7KBWo3dvRTakajVubqhd\nG3fuIHduxdE6eDAANG0qCm926yY8n3Xq4NUrvHiBz58xeDBmzMDkyUqH06crtY3MzUU9TF0j\nct06EUEqiZZRXU+dGjVqoFAh5U6J8Pffwlin/xI8Fi5Ey5bi24Y0ALl2mqcnOnWCuTkKFzbi\nNvjyRVmGKWbk+uayEAYHY+1aHD9uRGykCWMbG7x4gUmTxIkJCJaJiEDv3mjSJCFFRF+9isdS\nKr8BLITJm0QXwuBgIzMNyYvQUKxfD2PrIguk2igpUuDtWxw4gDx5oq0jEx1yiHx88wJlIiKE\nHlhbG/kuL2c358snAl5atdKrtCltHh5YvRoDBqBZM9jYYNo0ESRiZ4eTJxVjbts2rFqFBg2U\nfLWvX7F7N9avh1qNFCnQrZvSZ/78SqSJwSZPiQUFidk+3aJl9F+Iv3xpSU5cXPDggZHeBg5U\nNCAiArt3K0VhihdHQADOnNGTNN1z+/XDjBli2Go1rl5Fly7Gw1kNNnNz7N6NV68waBBq1ECb\nNopIHDmiyLBajWzZkCcPDh1S8i8dHcUTiIjAlSuYORM+PqIOeN++SmLigwf46y8sWKD3C/34\nEcOHi1TIWJFXp9q0Cc+ewc0NZct+7zxiHNFq0bEjihePa72boUPxxx/xcBH/srAQJm8SVwif\nPUPKlLC01KusmOyYPVu8R6L+Z373DgUKIFs2tG9v3GsaR6ZMARGcnL6rTvHMmciVC/PmGT/6\n55/InBne3vj2Ddu3IzhYKfrVs6eIvJCT5Dp0EN/f27eHWo0BA5T8E+k9LmmbHHojc+cOcuY0\nDC0pVgxZsihWlO6knQHyZJJkFUkPXKNBnTrInVupnZYtm/HECdnjKi8+LCto7954/lypXqab\n3W9jI2YTibBoEV68wIwZhj2nSWNkQtHaWqzJFR6OoCBh+JYvj8mTMX48hgwxrEggzYxKOaDy\ntnu3cPNK8hwQINbJMjMTddhbtBB3LQWIJoCHD0V8k/RF4fFjjBqF/+r2/1guXxa3FpcVMGRX\nRNQo6GQHC2HyJnGFUK5BFXUVhWSEnAIRdX5u8WJxaNCg773K3btxWkEpLsRQNGDHDhG6kjkz\n3r3DqFGiAlZgIDZuVN7Ogwfj/XvUqYP69fH6NVq3hlqNggUVMZOmCd3cMGAA0qbFvHkID8e2\nbUoenrOzXjrdtWu4f98wFU9Kadfl3j3kz49UqQwXE5bQXd1QKhc+Y4ay7BERcufGly94+lQR\nVF3Ba9RIKeemu+lah4sX484dxUca3SalAObKhRw5UKwYbGxQvLhQSl2jVvfq0nQmAG9vPRXX\ntTsdHODnBy8v8bFLFwCieo6NTaLZcNKMpr19nEo3JJhdu5AmDapXR5YsUKvjWpJGqu0+bNgP\nHNjPgYUweZO4QhgYiDp1UK4cnjxJlP5+Hl5eqFQJmzYBQEAApkwxnqLw4gWyZEH69Mr6qPHl\n3DlMnIiXLxEejuvXFQ0bMgR58sDLK369BQSI1RKk2T4DwsKU2S+VyjCEb/9+Ma2VOTOCg5VZ\nqClThIUnezjd3ODtjebNYW4u3v6pU4vFd4hQogT++EPIrfyulwqDQHL87QAAIABJREFUyWYl\nEapUwaRJSsjG69eYOBGHD4vYzvTpMXOm4axSjRrCvDM3FwkVO3caSlT+/Moqg5LeyPKZNi2u\nXlXEWHoU1tbKyOWtVi09PTPQ76xZsWBBtBopr6BkIIS6q4XoZqTIQ23XTvzW5JW2/voLADQa\nHD5spDjRx49YtAg7d2LJktgjrXSRkkelKe0fh5yieupU/IYXXcBX8oKFMHnDwTIAIiOFNWNn\nF/sMf2RkwqMAvn4VE3vVqomyLFJ6hhwwmSNH/Drctk2cWLcu/voLe/bg82dcvQoAy5cjbVq9\nMBDd+iOTJ+u9l8+fVzL5rlxB7txQq9GkiVApc3PcuWOYii5vBQpgyRLFkWhurhQxePQIFSuK\nQ5KL1cUFxYsja1YRZJQihd6E4ubNygi/fBGF3HLlUtapkDVPtquiTuzlzKn8fPCgsnqG1DJr\nVsyZo6yAobs5OMDKCgUK4N9/MWyYyE+Qqk7LJcUtLJAxIxwcUKgQXF3h5IQKFcQh6VuFvT1U\nKpiZ6eWwX7iAv//G2LHo2VM8UrVaeFlPnlRWibK0hM6y3IZIxQqkh1m5cjz+SN69w4IFCUkH\njBcbN8LGBh4eiIjAP/8gd+6EZ/EmR1gIkzcshBI1a4IINWr8kM61WmzZglWr8PmzeF3WqCEE\nIFMmhIYqYiB7CLdtg4cHli7V6yeqAPv7w8UF6dKJ2T4bG2HMZcqkJOrprhYkGWQPHxpOgG3Y\noAiGLCQeHkpx6mXLjBfLljbdubEMGVCuHFxccO2aiK6UFkiSzCx5MJLT1dpazxSTp5albEtp\nkA4OYtFd0k9m79ABhQoJp6VKJZS7VSucO4e2bWFlheLFERamWLrSJt2FrS2yZDGc2rS3R8GC\nWLRITK1pNOjRA23a4NUrBAZixAgULIjMmQ2LiUtlAbJnF/aoqyueP9cziVasgEqFdOng64tR\no5SZ2p074ecnfvXSXVA0y9xLSJn+0jOJWh4vIgKdOuHPP3HzJtasiWVGUKPBmDEYNCiRF82W\nnpsc2VS6dGJ2/ovDQpi8YSGUiIjA9et6SnPtGry945odKHH9OgYONOKlPHJEvBpatsSCBZg5\nE2/fYulSeHpCqqAuuZXatFFOkSIsUqTAly+4fBnh4Th/HunSIX9+I0W3IyJEGKr8PtX9+c8/\nRTilSoVcuRAYiHfvRECmbOR16gQfH8Wp6OaGlCnFlwNbW7Rrh2/f0LOnqK8ttXF1xahRQoA7\nd0aXLmjZEl5eivC4uuKff5TxDB1qqL7Ss9q4UeyXVh778EEoh9zsf/8TflejUZ0ODlCrYWGB\nixcREYEZMzBiBLy9cfEiBgzAxo0YOxajR4uKAUSGEa3t2yNDBqRKpXRubg4HB2TOjGHDlG8S\nAwfCxyfa7wH16wuFtrUVxeR0adlS6VnqrXBhNG0KjUZZ6T5PHpQrh+rVxQKEISHo2hUdOugF\nYD9/jtGjMWcOhg3D/fsIDtYrJCtXH5VKeKvVuHcPV64gTx5UrmyYUC8XuzFY+ylRiIxE0aIw\nM0vGK3InABbC5E3SCqFGgylTMGrUdwVPRkWrhbc3tm+Pn4zpcv+++OIfrwKMUjSgk5Phe0cu\nqUXRRwM+f673Uaqv5uEh5sk8PdGjh+hhzRojpwcGYtcuvRVxBw3C6NHo1g2vX+P5c8WDJ7kf\nr1+Hl5eyyO2sWXjzBp06CQVq0AARESL338wMz5/j9Wuljqj0Tr95E1+/IjwcW7agQwdUqiRE\n/dAh0cbZGf/+qxRA2b1bRG1Iy0RUrSoUC//VtenbF3fuGM7PlS2Ljx/h7Y2KFY2s9EQ6Cext\n2mDXLmW/JHhyyW/dPMLoFlw0+AJh0DJLFmFEypmjcgiM7veDrVtx6xZ691bSbxo3Nmzs7o4d\nOwAoYTLTpokGXbqgd28RLksE6f/ls2fo1g0LF4oOX73C0KFCeqdNEzvfvoW1NVQqMTyVClev\nKgspy6XYJS5cEPt/UN6CVvtjA3N+QVgIkzdJK4TyN9MpU2Jp+eBBPILojh0T3Sa48vWJE6KH\nvn3jcZYUN2FrayjAkZFYs0Z5gcalfqlWi1u3oNGIPAc7Oxw5ggwZUKiQCHnQaLBxI3btglaL\nkyfh7o7hw6HV4vRpnD6tyGpICLJlg1qtLJwkr3sHYOFC8dI0M4NaLa5FBBsbLFoELy/UqoW5\nc+HrC7VaWefIzAxp06JrV1FSR5aKNGlw+DD8/LBjh0gtcHWFVotDhzB/PpyckDs3fHzw9StC\nQpRFDUeMgL+/yMYziLhp3Vq5CwDv3qFiRbi6omNHITy5cytWbIkSOHcuWrXTLQIX6yY7P6WV\nBXW38eMBYOpUFC2q+I11EyRKlhTXSplSiIFu0W1bW8UXGhGBixcxfbrQToNMfGmTUnTkC125\nAq1W75mnTo3ISDx+jGXL4OuLRo1QvDgKFBDLVnh7i3uJ+v/7yhWcPJmYaweaVPp8VFgIkzc/\nQQi/fYv2/9upU+L/s1yL0ihbtoh3xKNHcbqinFUWcw3GGNBqMWsW+vWLXwi7bHUZjeH88AFN\nmqBr1/jZqdu3o3p1jBwJGxtkzoxPn8R+2fgrXFiU9JTiQvfuxYAB8PVFhw5o2VKpkiUVRVOp\nsGYNatdGhQo4fBgaDTZtUup2enjAwgJOTmK+MG1ahIRg716lXLXu9FjU9HzJprGwgIWFcMZK\nhTFHjFDWqVCrcfgwXr/WE6qWLXH+PObMUdaskGqKSlSrBnNzdO6MAwdE1vmTJ9i4Ec+e4dIl\n5ZlbW8PREfb26NxZ0R65w6hWYMx2oaSCZ84gRw69ydGqVWFvjwEDAODNGxQtqixrJfUpP6v0\n6bFkCdauhbOznlIazJISifk8Ly90766Mqk4d3L0rnoBUIsfSEi9fKuuKyJu3txBs3fjVLFmg\n1eLhQ/FRrlAaK35+yt9Y3Dl4EKlSwc1Nb7kMk4KFMHnzo4Xw4EHY2iJXrmhDt0+fxsGDsSyf\nO2CA+P+sG1UYAxERmDcPU6fGO1Hv1SvMmKFUe/n0Cf36YfJkaLW4fRt79sTy/3zDBtjYoGJF\n47cj+8FiVn2jyAng69fj61excI/81pPmt3LlwuvXIgBENq3q1hW21x9/YNUqHD6smH3ZsiEk\nRIndIEKjRtBo4OsrPlpaIiBAaS9tadMiZUpYW2PAAMO6MLoyWasWFi7E69d65V2krWdPRZ6l\n976Hh7CT6tTB9OnYsEF5zq9e6Z2bJo1SxbRoUcXzKQstERo3xty54mdnZ+NlbqRpRd09lpbw\n8FA+liyJ8+eVOTxzc5QujQIFRG9qNb5+xc2bGDdO+UU4OOD6dUU1pflX6aOu7zTqpuu3WLQI\nbdsarh0WHo4NG8SM4KNH4jnXry9uwcJC7MmWTblKuXLi3AYNkCULdu82/nfl4wN3d3ToIP5i\nfX1haQkzMxw/Hr+/T3ke9HuqTCRrWAiTNz9aCOXQ8O9ZIPfZMzRqhC5djNtSWq1Snuo7kYJW\nUqUS0XRysco1a8RLJ4YVUCVisPY2bxa9ScmCL1+ialXUrx+n7C4fHzg7w9MT9+/DxgZmZti1\nC3PmiGm8YsXg44O3bxEUJCySzJmVd6IkjXnyQKtFZKQy/5QjB9RqvSkxqarnhw9KedLbt/Wy\nERwcRLeNGgE65bMrVEDjxsiYURw1N1cqr27frieQFha4fVu56B9/oGdPnD8vBtmkCQYNgkqF\nOnXQsyfs7TFrlp4+RScnuotAde2ql3RvdJNf3PKWMSM8PODiAisr1KwJrRZ79ypHddVUpUKh\nQvD3F0Z2zpzi0n36ICQEa9Yge3ZYWekNNUUKw1hTImTJgm7d0L07LlzAjRvYv1/542nfHhkz\nKhN70lRu5crCs/LgAU6dQkSEnue2WDHl/1rnziKi6v59MQzJSVC7tmEhCKlqLpEoaiOnSxYs\nGPvfpC6HDiFNGpQpwxYhC2Hy5EcL4YULyJkTnp5GFoJJcCSLLlotihWDSoWJExPYw6tXKFcO\nlSvj0ycxjSfV+wCwdKl48Um+WYpb4ajoiIjAhg3YsEHMpowdK/o0qCoZM5s2ibN69cKHD8iZ\nE1ZWKF8eKVLA0hLnzik1VuQXsZMTRo5U0sjkdQxktatTB+vWYcwYUQkFULIPJ0/G3bvo0wel\nSqFgQZibC+vTzg45cii+uH/+0XspFy8u+tFoDLMPe/TQmwiUbuTlS/Tti9KlceSIuLTuGg5y\nqFGVKkKVpQWVJHGS1VcuIiPPPqZIIdIqogphoUJ6dXDq1tULSa1dGwcO6KVq6P4sbVOniohZ\n2e1pbg47O5w7Z5iwId9R7drw9ESrVlizRqzRkS2buK50C5MnA8DTp+LEIkXEY5Ses1pt+IXv\n2jX07w9nZ+TIgZs3ce4cbG2RNq2yXNft26LnPn1E+BURTp9WepBmWC0tRVb748ficcmXjjsx\nO3V+e1gI/8/edcfXdP7h996bmy2DGCFWzFCC2rNGaSiiLVVVI/ZWNBQ1q6r2qFGrWnvU+NWo\nrUaVqhWzZgQhCQlJJJHc5/fH+/W+55ycezNEK22+n/fj45579j15n/Ndz5O97R8plnn0CKVK\nIU+e9DLz2rA7d7SzRjrtwQPCZtFaPm0aQkMxZYqsgE9Oxu7d+PNPADQFe3hQgTu3xMTMsHXw\n7NfBgzCb4egoU0HcHj9WSbRzu3sXCxdiyxbEx6NdOzRujBs3VDWifIwcicWLYTKhbFmaux0c\ncOiQKkS8fz+trEQCPh0bjTSHcp1eNzfY26NhQ3zyCfbvJyUjg0G1IR+iOYExdO+O3bvRoQPW\nrsXUqTJ/ZmNwni3GdFoVXV0lPQ3/CZydcfEiCStu3Cijl76+2r5AMcqVw5tvqpYoQ6mMYf78\ntFOGSohlDNu24coVFVcqe4H058+jZEm8+SZWrMCKFejalb5ydpbNo5GRVE2qHC4u2L0bFgsa\nNIDZLN+QVq1C2bIYP17+iE+fYvFiyYEuLC4OSUlITpZ9F9u2YcYMPH6M2bPpNxUpwMREqmny\n8JCKx8OHk/Dky9v589i+PWNKTIsXw8MD3btnwdH/ZssBwuxt/wgQiiChroRQRm3IEJQrh//9\nL2MnYDQiTx5ERhLlsYsLLl6Une+pIzx8yitQQIrZhocjTx44OGh1KjSv7Z07o3BhmaSZPBkO\nDujSBQAiIhASovKVHz6kGgqlgF+DBnKaVjZKR0ZK5VseEXVzQ1QUHj9GSgqiorBhA37+GXZ2\nMJtx6BD69EHFimjVCps349dfcewY2rfXAsCmTQCwf78WwMxm1KuXNlRUqAAAlSqRn8EXNmyI\nypUlwbcYQsk2IMCq8oOzM777Di1bwt9f+nacZ5w3WpjNUiJKXEuuXCpP1N4e0dGqjGa1avL/\n7dsjKEh+1OREixVD167U+M8leQ0GLFgAiwVr1mipwI1GFY8dd/2fP5fhaCXmzZkDR0d4eaFx\nYwmWzZrRtrxQ1pqNHk1nsnUrQkJUePPsGYoVg8mkwxF44YK2g37NGiJDKFSIHmzB3XP+vK0T\n0LWwMHTogMGD8fw5bt+m3zRDoRrBnKARfrp5Ey1bomvX1zf0mgOE2dsyCoSxsWjUCBUqvBRj\nU3Q0KlWCj0/mRYhe0kQ9OsenJ0/IzxOsj6JnS9jdu5g3T+W9iXhpr15yIX/NL1UKM2bg9m3J\nsiGoQHgI0WBARAQ5IvnzS7dS1ARypEQqGVvR/JCSguBg5M+Pvn2lxgJ7QRSenIzYWMTGygSb\ncn5v1UqecPfuEmBMJkRG4sIFHUCy5jDlyqX6Kk8eAEQoI/JqQUF4+pS4pJW7Kl0aXl544w3E\nxGDVKtV++GuKBjJFQWarVkhJsQrGmioYfl0iGcZPIDiYrtpkwvXr9JZjMCAgAI8eYexYtGqF\nAQPQsaMMzBqNmD8fv/5K3RHFism3EHHts2bh+XO0aIESJRAYCCcnTJmCK1cwfDidlRLvp03D\n48fkm7q4IG9eODpSKv333/HDD4iN1Zn34+Lw8CEGDqSd+PrSPnlfB4Djx+mrKlUwc2baEQue\nZnZ0xP79qFsXNWvCaES1aplphxAx4fXr5WlkSNR31iw4OOj4o8HBtLeVKzN8Vn+P5QBh9raM\nAqHu7J/t7MwZ1KyJDh20f+0//0xXx5VpbVtcHJo1Q5Uq0glIStLWKLZrhxo1YDZj4UJaZ9Ys\nODmhQAH88IMMjh0+TN+mpKBfP7z7LpUILlsmd+XtTbPkli0YPlwGDA0Goi11cUG/frBYSFrP\nYIDZLNsHlcFAgwGtWqF9e0qFcgkIjjc9e8okImPo2BGTJqF+fZ0kmRLSxH8aNcIff2DSJPoo\nOgQ6d8b48RIX+X9q1lQllpRVOWXL4sEDuYlIpNWoAV9fbN6M69clLtoY9vawtydhI+UQ2/KO\nlDNnpDTS6NEIDcXevfRsiAmd30Olo6n08zZupKsQHaj8nuTOreMOMgZPTzx4gNu3VfDPMSMs\njBzNOnVgNqv4hsLC4OoKOzusXk2/SPXqtG3PnrSOxYKOHWXGNH9+9OiBhAT8+ad+Gu/PP9Gj\nBzZvlszg4loA7NqFgAAsX67aZO9eNGqEmTO1u+J10SYTPb1z5mDwYNy7Z/1PSM90Q6mbN5Py\n5fXrGdvb32Y5QJi9LaNA+OAB8ueHk1OGC6yzhfHO9/nzdUp70mnTpmldmZgYLFokKxSSk6l6\nIlcuHD+O+vUxYACOHMG4caoJiNvQobSfggXJ1bt3j3wL0SFXpQoiI7F2LTHFHDmiM+36+uLX\nX9GihXb5tGl0oPv30a6dXD5wIAYNkgIIx49j/nxVD0Du3PrBTBEq1HiQgjW7aVO8+y7atiVZ\nJUdHuLsjb14sXqwNvfbpI0nOxBg2DIcPq7r7mYKJ25rbyss7laNoUekH166NOXMkcgwbRg4o\nr1y9cQMbN+pkOl1dZUbTYKDcKqdG44yvAQHEd5r6fIoXl/c2OFjuZ/hwPHokVY75aRgMMqsn\nXkO7dsXNm1ixApGRmDsXgwbJJB+306dVR+RX17Ileve2Wr+9YgWMRnh5qeQgeJ2OyYTGjeUL\nH08Jm0yyukpYSIj2TLLKbt16rXUqcoAwe1smcoTPn6sKRrLK7tzBN9/oUDVmO0tJka7ewIFU\nHWo0IiSEMh+8gT0wkNb/8EM5n2oCznfuoHNnjBgh3+Wjo8nN+vBDuLvDbKbkaFQUzadNmkg0\nElUtvOvDYsHnn6N4cQQGwmiEyaQqVuL8Z3wMHYrgYNSvjz17pAjDmDF48ACFC0v80EUd3SEc\nUz5q1MCpU1rc4oUbYvDLUdZ8Vq2KtWvlVgI/MnQmNoarK8xm4rYWo1gxuLqqbk6VKhLXxeDZ\nbsFClyePth5HDBcXqUUlHpiDB7FsGWJj0bu3XJO/8Tg4yD+3uDgqWbKz02bRUtuOHejYEQYD\nihale8WR1d7eKlbdvUuZQhEpUfaZcKUUgAKzZctmrBDm3205QJi97fUh3eb+imhdyNbGm6zt\n7HDjhmQD4K3rHToQtPj703QjZkw7Oxn52b4dffuqpHyETZyIihUpHMoY2rUDgLg4cjTbtcO6\ndfD3x9ixmDYNPXqgc2fpUjx6JPlFuUIvgN694eFBpKZMXbqp8YT27ydOZ8awfj3at7da5FK4\nMHr0QO/eEreUkczUMVXNcHOTEGg2U7mmjw/8/XVWTi1eX7q03LO1M0w9hFOYuq6ncGHp6J8+\nrcOqYzDg4kVb9UQC5j/+GLGxePQIf/4pC68ApKSgY0editzSpWWj0fLlcnmtWunSsw0PR3Iy\nxo6FnR3d0jx5VNS+d+6oCJuSk1GnDtzcKH2uZK1TaqGcO5f5qMm/0nKAMHvb6wOEvJk9+wLh\nvXuqjOPx4xT+iorCl19i1SqaCl1daTY3GimytGoVatRAUJD0z54+pam/cmXtUWJjJeEnn56E\ncM/Fi1i2DI8f0yuFYF0xGPDDDwgLw5AhKuCxt8dPP+GXX2RDYWpw4vOyWOGHH9CsGRwdUbAg\nevTQtuiZTAgMlDhaqBDGjNFBKeWw1vDQogW5Pkyvhy/NIULK1oDQaMSAAbIQKX9+bN6Mb7+F\ngwNatFBxleXNCzs75MkDLy+qptm7l55VEbpkDCVKIDER/fohf3689x7dGSU13fbtGDSIVhan\nVLo0kpIQFoYePWQnRq5cGD4cDg4wm9GvH5o0kYD3xRcSmPl/Dh5M18P5zTfyigYMkMvPnKEn\nRDxFIifatCkA3LlDZztsWDr/Dv6jlgOE2dteHyAMC8PUqekipNZYcjJ27EhDgO2V2u7dVHtZ\nqpSt1+T58+Hvj6VLsX07atfGN9/or/b8OebMIe4Vf38dxTiOo6KnTVM+oKHxZC98Jk1NpvJb\nf3/Vty1ayBLTkiXx0Ufo3RudO2PaNNlKyNcXTNbcA7O3x44dKkab1Kk1FxcdgV+lPK/ZjFq1\nSPw2Pb19ukO5oWYnDg5o2hS3bmH6dCnB6OJCmh481vf77yhRgiBcSRNqMBAqBwVhzx4cPYoS\nJVCxIry9YTZj3jw6VtWquHULf/yB+Hii+JkxAxs3ahvtOSKGhWn16/39ASA6GhERMsbO2Wsf\nPsSAAZgwATNngjE4O6eXU+n2bZlUVipOCBeTk3QDSE5Ggwbw9JRkaVevYs8e+ZIXG4v9+7PM\nHVyzBnXraotxsqPlAGH2ttcHCDNtoq9cSZnx91hsLA4eVM1iL98QIrhj+ETcqZN2hYQEnDiB\nL7+E0Yi6dbWlgMnJ5C74+2PcOOlXpR6izUBgapkyWLsWjx8jPJz4XypVwsaNchMNhnXsqCWC\nEXO6yYQVK1QQyyOcygY+MT79VNazCF/H2siVy6ofqRm6nDLsBXKnxs78+Yn288kTFC8OJyet\nJpRghsufH+HhWkWLd9+l4KqSxiwpCXfv4vvvaR3uRHInzMODGiIFkayXF957T6VBKL6aNEny\nv/Nf/PRpREQgLg4ffYSWLSWbjNJOnlTJe129qn3RjI1F9+74+GMtubwNmhhOaC76HV/GLBZ6\nopydVVHi7Gg5QJi97V8AhCLsoxFdS6ctX45PPtHPxunazp1o2BDz5qFFC5hMpKXOGAoVUgWd\nbFtoKMaO1Xbic9u2TWIJU/f8aUw5YyotIUEW+P31F2rXxttvW0UFZejy88/x+efkPop6ENFz\nyRiqVJEZzRIlUKMG2raVe/Dzw717aN2aHEoBNqkb+zRDOCuMyZZq2yPTzmLqq1YOsxm7dsne\nQUE1V6YMJk6UUd+8ebFoEf3f3h5NmsDPD0eOIDERly9rfw5B+MlehHlz51bF/58+xaRJUqVL\nWdXJPT8+ihRBQgLpkAQH0wriLZDzxAI4ehR9+uDQIfL2jEZtbc7LWGIiXULBgqrlz56RaGVG\njWtMvv12Vp3gP2Y5QJi9LauA8MED/PxzGnQYr8hiYjBmDKZNy0wL8P37NCfWr5/eTbirJIKN\nvr6YPRtffZWxSloe8lLW7/38M+bMQUwMUlKwZQs2bMCWLRg5UivYO306mjbF/Pn47TfMnCkb\nEFPbrl3o2RMHD2LwYLzzDpXqCEbQ4sWJUkQ5WrXSwZvduzF7NgoVQqFCsnkxNZZ4e8PLC61a\noXNnqisxm3Uo08TgXpHAVA0apR/SlIQymv2nBj9lJafyBJTIWrYsZsxApUooUoT8VwcHHDyo\nWnnUKNy5gyJFkC8fTpxAQgJ69UKdOqhTh6h5lCa0xho3xo4d6NQJu3Zh4EA0b47Tp7FuHUUR\nRM8o52Tndu4cPviA/EizGUePkldqMlFwcvt2OjG+lcVCbYt58+LTT2mHoipKY8+e4euvMXVq\nxuhaNm3CBx9g7165ZMsWWeIryNbTaVzX5V/AU5oDhNnbsgQIRTiOVzBmI0tIIPdFQ29osegk\n544dw/r1xPHv74/+/eHtnWFNpZQUhIWRH+niQiEpQY7Mhe6s2b17cn4X/+FFDamvS8yYfLV8\n+VSiSE2aYO5ckuQVvkhqxSLe2ihWEO3byj5COzu88YYWjeztJZ6lWSNataqtMGZq5Es/TKYe\nmminGOJyeGe9aIdnL/wtJahzduyUFCQn48EDbYyUhx9jYzF5MiZORGwsatZE3rzYtg0AYmLw\n66+0JveuTCZcu4bERCxciKVL5fvc4MFg6iZIe3sMHqzyCAV1u5De5OXEb7yB0FB07ozhw3Vg\nxmJB27ayDlbJ55cJE00jjGH27JfaVfa1HCDM3pYlQPj4MU0TVaqkvfK1a/jhh9eoNPTBA/zy\ni+qlOC4Ofn6ws8OSJXLh5cs0OX75Jc6dy2QHlcVCHdZDh2LhQqLzhk0g7N4dvr5YsgT37uHs\nWR0fy2wmzR1ufNazWLSzs68vfdusGfLlw+bNOpX6jMHBAc2by2KZNWsAICCAPooMnyhJFR8F\ncWgmRmpPVOy2YkVUr45Bg+RCpW5URocSnvlwdtYWzWraGcWG/NDu7ihUCPPnIyAAwcFUKapZ\nedw4/PijvDnCM6tWDfnzw2TCZ5+p+LsZUzlSjx7Rj8gdZQ3wN22qKo+6cAE+PiRFCeD+fRQs\nCBcXraKh0j7+WFvEpBREzITt34+CBeHtjU8+yQwHvcZefg//iOUAYfa2rAqNrluHzp3TLhVJ\nTKT0eOvWL3W4s2dRqhRq1876P5vFi2UtRqNGcvmxY7RwyJDM7zw8nOZHPz8A+OEHDBtGTRTb\nt2PuXIK01q1RuDB++glr1sjZymiUwut8FC6MMmUwYwYAhIRg9WpUqwZPT9KWO3uWLqRSJQwc\nSBNlYiI+/hiNG+P8eQmEgrSaf/zmGxk1nTkT8+dLzPDyUiExr/jg/+/UKW3Pz9rQxR5+l+zt\ntaenHO3aoWVLW94k70tROnmaXQUEaDvfDQZ06aLdj9iEB4RFWLhaNe0bgNGIqCg0aaKCGV9f\nGI2qbgqlyGLNmjh5Em3aYM0aLF8OkwmurujQAd9/T4RqJhM8PWUbiWBT46Z0+ERVzsCBtOTZ\nMxUPuCC/FYqJDg7IkwctW5LY4au2TZvQvDl++kn/21mzYDIzAQe1AAAgAElEQVShXr3sFyzN\nAcLsbX9zsUx0NE0ctWq91H54T/rLv8ymNsGBUqyYKhECYPFijBkjm9MzZ198gUqVsG2bdDE7\ndlStIIJdvFJDWSEpZk+jEc7O2LWLNomIUEU1W7YEgF9+kZP4gQPo1w+bN5N+AmP46CP4+cHH\nh1DE3x+TJtH51K+PPn3kvK9b58mHkxMFV7t2xU8/yeWa1j3lJVgTCBRD0JMypu+z6uKT7rC3\nl9UumuHuDmdnBAXh1i0tlQxjKFcO7dtj8GAdN5cvUZ5k6lTr8eOoWZNOr1cviqDeuyfX5LQ+\nYv3mzSUYK/nTxYkpFzKGuXPx7bf6ciuRkahcGcWL4+OP0bcvIiMpKywKWS0W1KkDe3t8+aXW\nrU9TEy0hAXv2WI3lREdj+nSrCMctJYWcUQ8P/Yw+ZwBnTKfm6DW3HCDM3vb3V43u3IlPP9WK\n8GXUDh+GmxsKF9aWfQtLSMC2bSrKjHTa6tXIkwft2wPIWPWNxYLLl62+yd66BT8/lC8v6RnD\nwwkhhg5VrSl0xrmfJGZMT09ERsqZfc4c9OqFZs1w8iT++osmNWdnuLlh1y6JsozB1VXm9gR+\naLCqVy/s2iU/+vioXBalFoRuZHLFCkRFyeYKDdQ5OGgP95J5vvSMgADs3q2t6OFNgeJkfHzo\nBUIJeHwToxEREdi3T+dUZ87E8eO03GyGmxsMBlSvjipVULEiBg/GmTNy5QkT6GdNSSH4dHOj\nKllHR3z0EYoXx4gRMnMpINbODg0a0P+7dZMR3a5dMW4c/V8EYB4/VslcL15MK4wcSedZvTq+\n+06WVcfHSzEQPjQE6LrGc4ElSujnBQQxrDiru3d1Ksg4WZ0y1qK0DRtQpEgaghVZIuid5ZYD\nhNnbsm/7REKCrT9dTiSW/o7j1LZsGVxd0aBBeqM0nJWxSRP6GB+PbdtkUejUqTRNCLmchATM\nmIFvvsGzZ7BY5Iv2lSsICCDeS6aW1vv1V+pqsLNDo0YSdVaulPN1gQJ4+FC6lSVK4No1SUut\nxAMBSHny4M4dJCWhVSsCBuHDCS4xHhF1c0PJkuTV8W25lGOXLihXjjhUlevzoZSV+BsGP7S4\nITxnxv9fqxZ69NCpCTIaUbmy9nWB/1Ii9sBzrlzx8Y8/0LgxXFwkptrbI39+2Nlh40asWCF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bgdI0wX+bfuD8pywHCLPMxowZwyOfulh4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\njQMhY4wxVeNAyBhjTNX+H7SPlPKm7kZHAAAAAElFTkSuQmCC",
"text/plain": [
"Plot with title “Time domain”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=5, repr.plot.height=4)\n",
"\n",
"sel = sample(n)\n",
"\n",
"sel = sel[1:npts]\n",
"\n",
"plot(y[sel,1], y[sel,2], type=\"p\", pch=19, col = \"blue\", cex=0.05, main=\"Time domain\", xlab=\"\", ylab=\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 2__\n",
"\n",
"Display some points of $P$ in the transformed (time/frequency) domain."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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26kOnXIxycno/2U8r/Fn38SQGZmtHMnJSfnTMvBwTRyZGYnXQQHiw+tbFkyNqbR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\naxwIGWOMyRoHQsYYY7L2fyZQ3hTmwNT9AAAAAElFTkSuQmCC",
"text/plain": [
"Plot with title “Time domain”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"source(\"nt_solutions/audio_separation/exo2.R\")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"We compute the angle associated to each point over the transformed\n",
"domain. The histogram shows the main direction of mixing."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"nrow = dim(P)[1]\n",
"Theta = c()\n",
"for (i in (1:nrow))\n",
"{\n",
" Theta[i] = atan2(P[i,2], P[i,1])%%pi\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display histogram."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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IApItDQxjkvCIAp4iOvAEApjqCBROMM\neMSIQAOJxhnwiBGBhpWsOzZ08sfjcgY8YkSgYSXrjg3d8PG4vB2KCRBoWMm6Y0M+Hhcg0IgL\nq44NOcaEqxFoR+FUacBJCLSjJP5UaVaMAfFDoJ0nofO2rBgD4odAO09C521ZMaYZU16mI9Cw\nBO/maeSS3QGj5tmc9FREoAFnc/5SxZHzbI55KiLQQNzZ+laq81/cjJxnc8xTEYF2MqYgleCt\n1IRw4FMRgXayqCnIF1544YEHHgh/Pele23UwaPSTDW+lJpjRf1siEWjH+yAKO3bsiLxhcvN0\ndh0MOuL9Lgce4unkiL8tIgTaBaKi8EGvT5w4MTxVF/tRhq0Hgw6cZEwkxxxXxvYyzgl/Wwi0\n23zQ66kdZdhyMPjBN3VMaxLJMceVsb2Mc8LrFQLtchMfZeg8mVt5a3T+0kTEGceV7pnTJ9Au\nN8ox6eDg4Pnz5wsKCpKSksLXR9VQDb2tUbxswwnHlbc56WcZHYHG/zdRhRUerej99+meQ7zE\nUPyKJL4INCKFg/K6yJu3v5bbF/XWUDHVvzSD5vEVvyKJLwKNSOGgdN1Z5PBFOI3yefxIrn1F\nQqABN9M7jz8a1a9I4oFAA27muuSZhUDDCSY9nergnSrvxpCItLW1DV926+9BHQINJ5j0dKpV\nO1Uavszg/0TE7/f7/f7hqzRPSbsHgYZjjH4We0pKioj09/ePevF2Se/6hJ2ox3njjTeitjox\nyoCIRKzbsWFKevxfr2lPeJYh0HCMMc9iv6s/O5bYVnoZvczAzvlo1y6kG5/bAx31vD2q8Nzc\n4OBgogYFS0S1cvyLYXdMxY48ozKGx+E9t0kaYyGd0U94FnB7oAOBQIzP2xcuXIj3YGCpqFaO\nfzFslKnYu3xYZ7jjiSqxbxi64dd7F9we6JKSksOHD094BO33+/Pz8xM2Ktgkaio28oxKVx3E\nRT9RxeMNw6gXr5FrSDDM7YFOTk4uKyub8G5+vz/8OhcuEHUKpQsP4iKfqCa/dfj4mHSOhdsD\nDWAMY77paslnp9056Sy3X6/gDgQaQCwm89lp4yyeuz2nwZYv4yHQAGIx5menRa6Yjiqy4cvD\n7UegAUzC6FPzY8wsj7p4jjmNiRFoAJYZYznzqIvnmNOYGIEGYDkXLn2JCwINYEoiN8pw7aYZ\ncUKgAUyJ1s8UdgICDWDqXHi+ZSIQaABTx6RzXHD6MgAoRaABQCkCDQBKEWgAUIpAA4BSBBoA\nlCLQAKAUgQYApQg0AChFoAFAKQINAEoRaABQikADgFIEGgCUItAAoBSBBgClCDQAKEWgAUAp\nAg0AShFoAFCKQAOAUgQaAJQi0ACg1DS7BzBJly5dOnHixMWLF69du5aenj5v3jyfz1dcXJyc\nnGz30ADAGuYFurOzs6qqqqmpaeRNWVlZa9eurampmTVrVuIHBgDWMizQ3d3dRUVFvb29GRkZ\nK1euLCgomDt3rsfjuXLlSnt7+5EjR/bs2dPS0tLa2jpnzhy7BwsAU2JYoKurq3t7e8vLyw8e\nPJiRkRF16+XLl0tLS0+ePFlbW+v3+20ZIQBYxbA3CVtaWkRk9+7dI+ssIllZWfv37xeRhoaG\nRI8MAKxmWKCDwaCILFy4cKw7LF26VER6enoSNyYAiA/DAu31ekWkra1trDucOXNGRHJychI3\nJgCID8MCXVFRISKVlZXHjh0beeupU6fWrVsnImvWrEnwwADAcoa9Sbh58+bjx48HAoGSkhKv\n11tYWJidnS0iwWDw7NmznZ2dIlJUVFRdXW3zQAFgygwLdFpaWktLy4EDB/bt29fe3t7d3R15\n66JFizZu3Lhp06YZM2bYNUIAsIphgRaR6dOnV1VVVVVV9fT0dHR0BIPB/v7+zMxMn8/n8/ns\nHh0AWMa8QIeNPNU7LS3t3nvv5VRvAI5hXqA51RuASxgWaE71BuAehgWaU70BuIdh66A51RuA\nexgWaE71BuAehgWaU70BuIdhc9AVFRW1tbWVlZV1dXUrVqyIunUSp3oPDAw0NTWFQqFx7hN+\nPhgcHIzh8boi/mvJxffuvPK9se9p+jcdZwy2fFMNY3D2D57gb2qmIaO8//77JSUl4ZF7vd6y\nsrL169evX7/+ySef/MhHPhK+vqioqK+vL8YHPHr0aIy/qB07dozzOI2NjfH4vwNg6hobG63I\njw08Q0NDdv/27s7//ve/4VO9o26axKnesRxBDw4OdnR0bNmyJSUlJcbHCd+zv79/ihcHBwfP\nnz9fUFCQlJQ08qJV30XDNx1/DLZ8Uw1jcPAPnrBvmpqaumrVKkNPYTMv0MM41RuAsxkcaABw\nNsNWcQCAezgw0Hl5eXl5eXaPAgCmyoFTHB6PR0Sc93MBcBvD1kHHIhAI2D0EALCAA4+gAcAZ\nTD2CHrlhv8/nKy4uNnS1IwCMZF6g2bAfgEsYNsXR3d39sY99bJwN+69du7Zs2TI27AfgAIYd\nQbNhPwD3MOwIesGCBZcuXXrnnXfuu+++Ue9w7ty5wsLC3Nzczs7OxA4NACxmWKBTU1Nv3rwZ\nCoXG2g4pFArNnDlzxowZ4+9/BAD6GXYmIRv2A3APwwJdUVEhIpWVlceOHRt56yQ27AcAtQyb\n4rh+/XppaWn4XEGv11tYWJidnS0iwWDw7Nmz4XnnoqKiQCCQnp5u71ABYIoMC7RYvWE/AKhl\nXqCHsWE/AGczONAA4GyGvUkIAO5BoAFAKQINAEoRaABQikADgFIEGgCUItAAoBSBBgClCDQA\nKEWgAUApAg0AShFoAFCKQAOAUgQaAJQi0ACgFIEGAKUINAAoRaABQCkCDQBKEWgAUIpAA4BS\nBBoAlCLQAKAUgQYApQg0AChFoAFAKQINAEoRaABQikADgFIEGgCUItAAoBSBBgClCDQAKEWg\nAUApAg0AShFoAFCKQAOAUgQaAJQi0ACgFIEGAKUINAAoRaABQCkCDQBKEWgAUIpAA4BSBBoA\nlCLQAKAUgQYApQg0AChFoAFAKQINAEoRaABQikADgFIEGgCUItAAoBSBBgClCDQAKEWgAUAp\nAg0AShFoAFCKQMMhnnrqKc9E/vznPw/fs7Oz0+4hAxMg0ACgFIGGQ/zud78bivCZz3xGRBoa\nGiKv/NSnPmXJ9zp06JDH49m+fbsljwaMhUADgFIEGu71y1/+Mi8vLzU19b777tu5c+fAwMDw\nTTdv3ty1a1dBQcHMmTOzsrLKysqOHj0avumxxx773Oc+JyI1NTUej+fkyZPh63t7ezdv3nz/\n/fenpaUtXrx4w4YNXV1dif+h4ChDgBONOsUR9vnPf15Enn322ah/Czt37gzfIRQKLV++fOQ/\nll27dg0NDRUXF0de2dbWNjQ01NfXt3jx4qj7Z2Zmnj9/PpE/NRyGI2i41M9//vMf/ehH//73\nv//zn/9s27ZNRF566aXwTTU1Na+99lp5efk//vGP69evv/vuuz/72c/S09Off/75d99998SJ\nEw0NDSKybdu2oaGhRx55RER+/etfv/POO5/4xCfeeOONGzdudHZ2fvWrX7169eqPf/xjG39G\nmI5Aw6W2bNny/e9/PycnJzs7e/v27fPnz+/q6rp169atW7f27du3ePHi3//+9w899NDMmTO9\nXu83v/nN7373u7du3Rqe6Ihy7tw5Edm/f39BQUFqampubu5PfvITEWExH6Zimt0DAOxRWloa\neTEnJ6enp+f999/v7Oy8evXq1atXp00b5V9HT0/PqI+2d+/evXv3isjQ0NDly5cvXbp07Nix\n8EXrhw7XINBwqblz50ZeTEpKEpGhoaHe3t5x/tTNmzdHvb6/v3/v3r319fXnzp3r7+8Xkezs\nbOsGC5ci0HCpcJFHysjIEJFPfvKTf/nLX2J/tGeeeaa+vl5EkpOT77nnno9+9KM7duwoLCy0\nZKhwLeaggTvk5+dPmzbt9OnT7733XuT1X/ziFz0eT2tr68g/8t///re+vn7evHl//etfr1+/\n3tXVdfjw4Rs3biRqyHAsAg3cISMj4+mnn+7r63vyySdff/3169evv/3221/72tfq6+sffPDB\nRx99VEQ8Ho+IdHV1hZdOh+c0UlJSUlNTb9261dPT86tf/eqpp55KSkrq6+sba1YEmBBTHEC0\nPXv2/P3vf//b3/5WVFQ0fOXs2bPr6urCaV64cKGI1NXV1dXVtbW1PfLII48//vif/vSncL7D\ntm/f3tDQcO7cuaysrL6+vsT/FHAAjqCBaHPnzj158uRzzz13zz33pKSkeL3eysrKM2fOPPTQ\nQ+E7PPzww+vXr//Qhz40/Efq6+u//vWvL1iwID09/dFHHz106NC2bdu2bdv24Q9/OCcnx6af\nA8bzsAwIAHTiCBoAlCLQAKAUgQYApQg0AChFoAFAKQINAEoRaABQikADgFIEGgCUItAAoBSB\nBgClCDQAKEWgAUApAg0AShFoAFCKQAOAUgQaAJQi0ACgFIEGAKUINAAoRaABQCkCDQBKEWgA\nUIpAA4BSBBoAlCLQAKAUgQYApQg0ACj1/wBlT5PBQdmw6wAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=4, repr.plot.height=4)\n",
"\n",
"nbins = 100\n",
"t = seq(from=pi/200, pi, (pi-pi/200)/(nbins-1))\n",
"hist = hist(Theta, xlim=c(min(Theta),max(Theta)), main=\"\", breaks=nbins, plot=FALSE)\n",
"h = hist$counts/sum(hist$counts)\n",
"barplot(h, xlab=\"Theta\", col =\"DarkBlue\" , tick=TRUE)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 3__\n",
"\n",
"The histogram computed from the whole set of points are not peacked\n",
"enough. To stabilize the detection of mixing direction, compute an\n",
"histogram from a reduced set of point that have the largest amplitude.\n",
"Compute the energy of each point. Extract only a small sub-set."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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T/5yU8srWvUBt3u7PGcamo64vcHol8P\nAIE0C+i+vj6l1LRp04JHZs+e/eCDDzY3N+/Zs8e6usyxYcP+srKG5uajVhcCQATNAjonJ0cp\n5fF4Qg+uXLly2rRpDz30kN/vt6guM9FLCIBBs4AuLy9XSv3gBz/44IMPggevvPLK2tra/fv3\n33vvvcYQGwBigGYBvXbt2muuuebgwYPz5883RtOGqqqq8vLy+vr6efPmWVgeAJhIs4C+8sor\n9+/fX11dnZeX5/V6g8dtNtuLL764du3aS5cuWVgeAJhIs4BWSqWlpdXU1Bw6dOiTTz4JPZ6Y\nmLh+/fqPPvrovffea2xstKo8ADCLZuugg7q6unbv3n3s2LHz58+npKRkZmY6HI6ioiK73Z6f\nn5+fn291gQAwXvoFdEdHR1VVlcvlCj+Vnp6+dOnSmpqaqVOnRr8wADCXZgHd2dlZWFjY09OT\nmpq6cOHC/Pz8jIwMm8125syZtra2HTt2bNq0qaWlZc+ePaFrpQFAR5oFdHV1dU9PT3l5+bZt\n21JTUwecPX36dElJyd69e2tra51OpyUVAoBZNLtJ2NLSopTauHFjeDorpdLT07du3aqUamig\nzQUA7WkW0MbSupkzZw51wfz585VS3d3d0asJACaGZgFtbE5pbW0d6gJjF3h2dnb0asL40CJq\ntFpbT/ITixOazUFXVFTU1tZWVlbW19cvWLBgwNl9+/YtW7ZMKbV48eIIH9Dv97tcLp/PN8w1\nxutBf3//WCrGSDZs2K+Uamq6q6RkrtW16MHp9DidHn5i8UCzgF61atWuXbvcbndxcXFOTk5B\nQcH06dOVUl6v98CBAx0dHUqpwsLC6urqCB/Q7XaXlZVFcuXhw4fHWjVGRouo0eInFg80C+jk\n5OSWlpa6urotW7a0tbV1dnaGnp01a9aKFStWrlyZlJQU4QMWFxc3NjaOOIJ2Op15eXljrxsA\nRk+zgFZKTZo0qaqqqqqqqru7u7293ev19vb2pqWlORwOh8Mx2kez2+2lpaUjXuZ0OhMSNJuv\nB6A7/QI6KCsrKysry+oqAGCiMCoEAKFiMKBzc3Nzc3OtrgIAxkvjKY6htLe3W10CAJggBgPa\n7XZbXQIAmCAGAzp8AwsA6EjXgB6mYb/VpQGAOfQLaBr2A4gTmgU0Dfu15vcHXK6jra0nrS4E\n0INmAU3Dfq01Nx8tK6NVNxApzdZB07Bfa/T3AUZFs4CmYT+A+KFZQNOwH3HI7w80NR3xeE5Z\nXQiiTbOArqioUEpVVlbu3Lkz/OwYGvYD8hlz98YnGyCuaHaT0PSG/YB8zN3HLc0C2vSG/QAg\nlmYBrcxu2A8AYukX0EGaNuw3NmtwwwfAiDQOaE2xWQNAhDRbxREDuOEDIEIEtDgez6mmpiN+\nf8DqQgBYjIAWZ8OG/WVlDc3NR60uJKp4WQLCEdBCxdtMSHy+LAHDI6AhSLy9LAHDI6ABQCgC\nGgCEIqABQCgCGgCEIqABQCgCGtBSa+tJVo7HPAIa0JLT6WHleMwjoAGNsXI8thHQQrH1GQAB\nLVR8bn3mZQkIFe/9oP1+v8vl8vl8w1xjfIh4f39/tIr6txh4A2t8QIHP1zd58hX9/SMkr/G5\nqE1Nd5WUzI1KdYBo8R7Qbre7rKwskisPHz480cXEpNAPKFi16r8j+ZZLl/qMWFdKLVo0x263\nTWB9gGDxHtDFxcWNjY0jjqCdTmdeXl7UqooloW8CDh3qifC7grHOaBrxLN4D2m63l5aWjniZ\n0+lMSGC+frz+8pdIp9SDsR4DkzxjE/oewupaYJl4D+hoMn7lWltPWl1IlMTb8zVX8D3EY4/d\n3Nvrt7ocWIOAjp54+7jYeHu+5gq+dVi/vtXaSmAhAjp64u3d+pifr8dzytxKAE0R0BDHWGw3\nvNDVe6z0QKwioCHdoEvuQudPWOmBWMXKBEhnZPGAfZWh8ydvvHEibvcf0tMuthHQMJ/fH2hq\nOmLW+o0Rl9xF3tfNKOyPf2wfT6iZ8iBmoaddbGOKA+azZP1GJPckh5oYGdXGRYGzK2+8cSIQ\nYNdlDGIEDfOZuF7F4zk1YFHHeIbnQ02MDDqLEsmDmLsyx3hqYxiYM46OVYygIVr4io6hhuet\nrSdHtaLD6fQ4nR5jCCxk42LoBvcxfHu8reOMBwQ0NDPMTLTT6Xn55a/ZbLbw5XdDbWv85JNP\nm5qOjHnl9WhfFYYn5HUCchDQ0EZ//8iTG2+9dTI46A6dIB5q3P3uu/+KZNn1UIxXhVWr/ruo\naCZTwDAdAR0NdKUwRSRhGtq2IpLJYlPaXIS3sTb+j1+8+OmhQ6fz89OTkyeFD+eHOgsEEdAT\ny/hV3LPno/EM08QK3843oS9FE9Ez6OjRc4MeH0ND6tDXgPAB+/DDeSGrQSANAT2xYrthUPiC\nswl9vh98cMb0x3z55Q8HPR7ekDoY2SN+LowabMAeuhIu/CyTzhgUAT2xYvsXb8CqtUBAXbz4\n6cT9dZG3kzYYd/DuuOPqlpZjkQ/qg296jC+DzzEY2RF+LswAofcww4sxptfpEoUBdA3orq6u\n3bt3Hzt27Pz58ykpKZmZmQ6Ho6ioyG63W12a+bRoDBS8XWZ1If9mlHT33fP+9Kd/Rv5d4W8C\nBkR25J8LEy70Hmaocd6rRKzSL6A7OjqqqqpcLlf4qfT09KVLl9bU1EydOjX6hU0cgVvXhiKw\ntfyo0lkN9qZnQGSPdiAfaqifz/vve8f8mEFvvXXyf/6nh7uOsUSzgO7s7CwsLOzp6UlNTV24\ncGF+fn5GRobNZjtz5kxbW9uOHTs2bdrU0tKyZ8+eadOmWV2sCYx3vm73ieARC+dMtBjIj9Og\nkwyj+pkPf5t0qGn0AVPhY5vr2LTJE/yz8BdyREizgK6uru7p6SkvL9+2bVtqauqAs6dPny4p\nKdm7d29tba3T6bSkQnOJeuerxUB+nDcSw3/ao83K4W+TRjj6Hv//9Ni++RE/NOvF0dLSopTa\nuHFjeDorpdLT07du3aqUamiIkYUTprzzNcvE9aAw0XjmHwa1YcP+COPSeLvzxhsnRr4UiIxm\nI2iv16uUmjlz5lAXzJ8/XynV3d0dvZpCmD4JEL4IzEiB8fwVYygy8tXNE7ESThe///0/Xn75\niNVV4P/ExoycZgGdk5Pz4Ycftra2LliwYNALPB6PUio7OzuqZf2/KEwChE56DNV3wvQiw9+2\nGyvYwlcEmz6A1YiodA59ITcWGuoeVaOlxYzciDQL6IqKitra2srKyvr6+vCM3rdv37Jly5RS\nixcvtqC4wdYFR7KpYVRClwEM1Xci8iIjnKkIv8xYwVZe7ojk2xF9ocP50IWGw/87GWr/5IDj\nWgxOtZiRG5FmAb1q1apdu3a53e7i4uKcnJyCgoLp06crpbxe74EDBzo6OpRShYWF1dXVFhc6\nYREWOocwVN+JyL399qnERHtCgm3QX7MR984NtQ0PlgsdzocuNDT+nQyVsOH7Jwc9Hj44HT6y\ntQh0mTQL6OTk5JaWlrq6ui1btrS1tXV2doaenTVr1ooVK1auXJmUlBTlwoaapTU9woafQxjq\nNyH0eGja/uxnAwfgxpXGNR5P9/r1e5VSX//6NeY+C1jFmPoIbQ4T2oov+DK/e/dHoR/REjxu\ndGcNX/c5/HxC1GYbhvp3ri/NAlopNWnSpKqqqqqqqu7u7vb2dq/X29vbm5aW5nA4HA7L3nFb\n0nMjdDRtbFLo7e372c/+bhwZqjvPoJv9gr+Qgz6RP//5A/OrhxXC72QaSf3YYzevW3fLgIPh\nYTrUus/QN3Cvv35i377u0P0y459tiLB31Yj/zrWjX0Abwrd6JycnX3311VZt9bZkkit0NB26\nScFg/J781399tq3Ne+HC5eDxQXcqB39LBW4FhImGupO5fn2rCtvoGP6vOpJ1n5Hvlwlvu2rc\nz1RKLVo0RykVDOVB517C3y+GFhwb/5L1C+g43Oo9NuGRbRhmksT4LUV8Cv+/7/GcSky0q5Dd\nOuFTdsZbt9ARQChjSiR06i90eUkgECgvfyn0+iVLcrdvf18p9dhjNysVMGbYmpruCv2smeBo\nOvTbh+pCpTvNAjretnoDFopkh85Q4wBD+IxK6JHwWQgjndV/vlrs3v1R6DXB0XToHfjnn39v\nwF8UG0vyNQvoeNvqDWgtfEYl9EiEsxADXieCo+nQ4Xz4XxQbS/LZ6g3AGmMY5Ho8p+Kqa7Zm\nI2jhW70BRG4Mg1w5vcOiQ7MRdE5OjlKqtXXIe1nWbvUGABNpNoI2fau33+93uVw+n2+Ya4zX\ng/7+/rFUDABjpVlAm77V2+12l5WVRXLlP/853AdzTJmi2U8SiB/6/nraAgHNNkR++umnwa3e\nA06NYat3JCPo/v7+9vb21atXJyYmDv04/15yb+wNGf6/N9yQmZAwckeC/v7AO+/8K5IHHNt/\nLS9DlwKElBHDBUxQGbp/AJh+AR0kaqs3AJhO44AGgNim2SoOAIgfMRjQubm5ubm5VlcBAOMV\ng1McNptNKRV7zwtAvNF19ckw3G631SUAgAlicAQNALFB1xF0eMN+h8NRVFRkVcN+ADCdfgFN\nw34AcUKzKY7Ozs4bbrhhmIb958+fv/baa2nYDyAGaDaCpmE/gPih2Qh6xowZXV1dR44cmTNn\nzqAXHDx4sKCgYPbs2UbjJADQl2YBPXny5MuXL/t8vqHaIfl8vilTpiQlJQ3f/wgA5NNsJyEN\n+wHED80CuqKiQilVWVm5c+fO8LNjaNgPAGJpNsVx8eLFkpISY6/gMA373W53SkqKtaUCwDhp\nFtDK7Ib9ACCWfgEdRMN+ALFN44AGgNim2U1CAIgfBDQACEVAA4BQBDQACEVAA4BQBDQACEVA\nA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVA\nA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVA\nA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVA\nA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVA\nA4BQBDQACEVAA4BQBDQACEVAA4BQBDQACEVAI0bcfffdtpG89tprwSs7OjqsLhkYAQENAEIR\n0IgRf/rTnwIh7rjjDqVUQ0ND6MEvf/nLpvxdL730ks1me/zxx015NGAoBDQACEVAI3795je/\nyc3NnTx58pw5c5544gm/3x88dfny5Q0bNuTn50+ZMiU9Pb20tPTVV181Tt1666133XWXUqqm\npsZms+3du9c43tPTs2rVqmuuuSY5OXnu3Ln33nvv8ePHo/+kEFMCQCwadIrD8PWvf10p9eCD\nDw74XXjiiSeMC3w+32233Rb+y7Jhw4ZAIFBUVBR6sLW1NRAIXLhwYe7cuQOuT0tLO3ToUDSf\nNWIMI2jEqV/96ldPPvnkyZMn//Wvf61bt04p9eyzzxqnampq3nzzzfLy8nfeeefixYsnTpz4\n5S9/mZKSsmbNmhMnTuzevbuhoUEptW7dukAgcNNNNymlfve73x05cuSLX/zie++9d+nSpY6O\nju9973vnzp176qmnLHyO0B0BjTi1evXqRx99NDs7e/r06Y8//nhWVtbx48f7+vr6+vq2bNky\nd+7cP//5z9dff/2UKVNycnJ++MMfPvLII319fcGJjgEOHjyolNq6dWt+fv7kyZNnz579i1/8\nQinFYj6MxxVWFwBYo6SkJPTL7Ozs7u7uTz75pKOj49y5c+fOnbviikF+O7q7uwd9tM2bN2/e\nvFkpFQgETp8+3dXVtXPnTuNL80tH3CCgEacyMjJCv0xISFBKBQKBnp6eYb7r8uXLgx7v7e3d\nvHnz9u3bDx482Nvbq5SaPn26ecUiThHQiFNGIodLTU1VSn3pS196/fXXI3+05cuXb9++XSll\nt9uvuuqqL3zhC+vXry8oKDClVMQt5qCB/5CXl3fFFVfs37//448/Dj1+zz332Gy2PXv2hH/L\n2bNnt2/fnpmZ+cYbb1y8ePH48eONjY2XLl2KVsmIWQQ08B9SU1O/+c1vXkVl8EMAAAGESURB\nVLhw4Wtf+9rbb7998eLFDz/88L777tu+ffvnP//5W265RSlls9mUUsePHzeWThtzGomJiZMn\nT+7r6+vu7v7tb3979913JyQkXLhwYahZEWBETHEAA23atOnvf//7W2+9VVhYGDx45ZVX1tfX\nG9E8c+ZMpVR9fX19fX1ra+tNN910++23//WvfzXi2/D44483NDQcPHgwPT39woUL0X8WiAGM\noIGBMjIy9u7d+9BDD1111VWJiYk5OTmVlZUej+f66683Lrjxxhu/853vfOYznwl+y/bt27//\n/e/PmDEjJSXllltueemll9atW7du3brPfvaz2dnZFj0PaM/GMiAAkIkRNAAIRUADgFAENAAI\nRUADgFAENAAIRUADgFAENAAIRUADgFAENAAIRUADgFAENAAIRUADgFAENAAIRUADgFAENAAI\nRUADgFAENAAIRUADgFAENAAIRUADgFAENAAIRUADgFAENAAIRUADgFAENAAIRUADgFAENAAI\nRUADgFD/C7QI0Fg7vsIVAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"source(\"nt_solutions/audio_separation/exo3.R\")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 4__\n",
"\n",
"Detect the direction $M_1$ approximating the true direction $M$ by\n",
"looking at the local maxima of the histogram. First detect the set of\n",
"local maxima, and then keep only the three largest. Sort in descending order."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [,1] [,2] [,3]\n",
"[1,] 0.9800666 0.5000000 -0.5000000\n",
"[2,] 0.1986693 0.8660254 0.8660254\n",
" [,1] [,2] [,3]\n",
"[1,] 0.9851093 0.6730125 -0.0784591\n",
"[2,] 0.1719291 0.7396311 0.9969173\n"
]
}
],
"source": [
"source(\"nt_solutions/audio_separation/exo4.R\")"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Separation of the Sources using Clustering\n",
"------------------------------------------\n",
"Once the mixing direction are known, one can project the sources on the\n",
"direction.\n",
"\n",
"\n",
"We compute the projection of the coefficients Y on each estimated\n",
"direction."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"A = matrix(0, nrow=mt*mf, ncol=p)\n",
"c = c()\n",
"d = c()\n",
"for (j in (1:mf))\n",
"{\n",
" c = c(c,Y[[1]][j,])\n",
" d = c(d,Y[[2]][j,])\n",
"}\n",
"A[,1] = c\n",
"A[,2] = d"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Compute the projection of the coefficients on the directions."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"C = abs(t(M) %*% t(A))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"At each point $x$, the index $I(x)$ is the direction which creates the\n",
"largest projection.\n",
"\n",
"$I$ is the index of the closest source."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"vec = c(1:dim(C)[2])\n",
"tmp = apply(C[,vec],2,max)\n",
"I = max.col(t(C))\n",
"I = t(matrix(I, nrow=mt, ncol=mf))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"An additional denoising is achieved by removing small coefficients."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"T = .05\n",
"D = sqrt(abs(Y[[1]])**2+abs(Y[[2]])**2)\n",
"I = I*(D > T)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"We can display the segmentation of the time frequency plane."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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bsIVee46liRvpw/o6vA0y3XTXVufzBJ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\nAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=8, repr.plot.height=2.5)\n",
"options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n",
"\n",
"image(t(I[1:floor(mf/2),]),col=matlab.like2(50),interpolation_type=\"nearest\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"The recovered coefficients are obtained by projection."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"Proj = t(M) %*% t(A)\n",
"Xr = replicate(s, matrix(0,nrow=w,ncol=4*w+1), simplify=FALSE)\n",
"for (i in (1:s))\n",
"{\n",
" Xr[[i]] = t(matrix(Proj[i,], nrow=mt, ncol=mf))*((I+1)==i)\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"The estimated signals are obtained by inverting the STFT."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"xr = Matrix(0, nrow=n, ncol=s)\n",
"for (i in (1:s))\n",
"{\n",
" xr[,i] = perform_stft(Re(Xr[[i]]), w,q,n)\n",
"}\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"One can display the recovered signals."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
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MEgOZsQr1xBUBAWLza1rXh637+PEyeUb505g5dfNpNpCQlIScGoUfjlFwPv3r4t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\n",
"text/plain": [
"Plot with title “Estimated source # 1”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wYHB4eGhnbu3Fm0fjkTCJ3MK0mS1qxZ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\nYyAkIiJdYyAkIiJd+39cTT+jouT9tgAAAABJRU5ErkJggg==",
"text/plain": [
"Plot with title “Estimated source # 2”"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jl0QTlhrvKYq5zDzFqN8Ndf0bKlSYhaDMIjR7BkickYDHM29qKjRy3/VYxBxO0D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",
"text/plain": [
"Plot with title “Estimated source # 3”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=5, repr.plot.height=3)\n",
"for (i in (1:s))\n",
"{\n",
" plot(xr[,i], main=paste(\"Estimated source #\", i), type=\"l\", ylab=\"\", xlab=\"\", col=\"blue\")\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"One can listen to the recovered sources."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"i = 3\n",
"play(x[,i], rate=15000)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"play(xr[,i] * 1e4, rate=15000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
""
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
""
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.4.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}