{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Introduction to Image Processing" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour explores some basic image processing tasks." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*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", "$\\newcommand{\\Om}{\\Omega}$\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "library(imager)\n", "library(png)\n", "library(pracma)\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": [ "## Image Loading and Displaying" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Several functions are implemented to load and display images.\n", "\n", "\n", "First we load an image.\n", "\n", "path to the images" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "name = 'nt_toolbox/data/lena.png'\n", "n = 256\n", "M = load_image(name, n)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can display it. It is possible to zoom on it, extract pixels, etc." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Plot with title “Zoom”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "imageplot(M[c(((n/2) - 25):((n/2) + 25)), c(((n/2) - 25):((n/2) + 25))], 'Zoom', c(1, 2, 2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Image Modification" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "An image is a 2D array, that can be modified as a matrix." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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y60CKgyBYa8/eSzIUOZNo5kU9KME7aCQsoRJS8rfjs1NaVLYMUasqq40Whks9lc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oyWRqbW1FXyeRSGDkE2MMYRsvM5vNou5UFBkaapsAACAASURBVAX/SlUgKmY0Sgnh\nRM8fsmhERyrEqeCmb0oq4cSqPYTVtZIF3hZwQpHLDJCiUUdQUTG06dZGhCCwFPsBgWrXrl2w\n+vvBD34Qj8edTidjbGZmZnZ29tixY5lMxmazXbp0qa+vr1Kp5HK56enp4eHhLVu22O12xtiZ\nM2dOnDgB+QF+ocC9s4vF4ne+8x2DwYBBvtDV/dd//dctt9wSj8fhfYgTjeMD6BWq2UQiAT9r\neqoGgwFeg9QgRFkMy2LUfLiIIMECwQerwn1tDAaD3W5HzHO5XHCeIl+Cy5cvR6NRSZIw44Xy\nSIkrkejtxcJbquVjpCjNnZubm5ycBMuPzizBNqv2DFYD4YoW1T3qXj01+TTcPo3in6iS3wFO\nRPAjyQT69vjlYIrCCBTlFyq/np6effv2Xb16FScB1k1GoxEN7VKpZLfbOzs7TSZTe3u7yWQy\nmUyAUNLpNA4D+DUulwtC2nfeecdkMp07d85kMp04cWJ4eDiRSLzwwguMMbBMc7mcxWKBhwX6\n6kaj0ev1QtRR5pOnqKXHeANG4HJJQRAKhUIkEsnn8yTAoGY+vG/Qk0ciSRArpgwyxkALGhwc\nRB8Cs3IAF6OixWcBfo1er7darXa73Ww2o0Sg2h2/VuK+U9Ue4f8PFmKh2WwGSdJoNLpcLpLc\nEIBBj1ezUQAqCCrCdltb2/T0tMViqauru+OOO6LRaENDAybOJ5PJK1eu9Pf319bWbt26ta2t\nzefzVSqVTCazZ8+ed955R5bljo4Ov9+/b98+THJQFMVoNCK6AE2ZmZn5h3/4h56enrm5uXQ6\nnUgkSqXSI488YjabkVPicoA3Kfxi8vl8IpGYn5+fnZ2dn58PhUIwkYB2CAefcTE7IE2IPWKx\nWCgUSqVSsiwnEomxsTGkkviRQqGQy+UEznErFotms1nhaqtCoWA2m5PJ5OzsLM4v42gtFdYK\n52nTeadynB6J8FxTUxMKhS5fvjw+Pg4cWN1GqQbCG34p1w7cwl4UuU8gVUjyezSnROtHAoXY\nSV0u3Ox4JHJJgcvgwDcBCZMxlkwmGWOpVMpsNkMCb7PZ5ubmnE4nisuxsbH5+Xn0UfD7l/m4\nRJR6HR0dmzdvRoP9pZdecjqdV69etdvt+IuEb6C8A1lU4Y5Q6onwiHl0NtQND7woeKEhTZZl\n2e/3NzU1IULjyiAmp7rPAboQysRIJIIzRjaSyLIpGJPPMuOTV4H8oPjGn7gOhf4gdk11/T4X\nAHbcvGrlOEIgweAEytHmJJYp4wmc2WwOhUIHDx7U6/WBQMBut3/oQx9yOBypVKq2tlan07nd\n7sXFxVdffXVycvLw4cPJZBLu86lUShAEyCFGRkYmJibQwqipqclkMhVuHYy9DfxmeHjY6XRS\n+fWpT30KgY0xhp1M6R3EGDCNymQyMzMz8BpEtUdKZUHVXCQ+gSiK8GyamJgIh8OJRALdd9g/\nSSo9YjabNRgM+D4QXWryoTFB42Wowia8hxquyFOZitxAWYgoijAAwcwNPD15dU+AqQbCFS2U\nfegTUGyTuGuoeiuI3JQWlzsJZkVuAcUYQ9yqqKYFIbND84x4YolEIpPJbNq0CV0NQhHtdvum\nTZsURXG73aFQSBTFK1euFAqF9vb2dDp94cIFh8PBGDObzRjykMlk7rvvvtnZWbfb3draOjAw\n8K1vfcvn8w0ODlqtVogWkAkCVo3FYiCdgp8NgIW8ddCfUF86RFjAewVqwNLS0uLiIq4Gh8PR\n398fiUT0ev3S0pLMja+QqxoMBpDRK5WK0WiE+ROmClcqlWw2K6lGDKK8Ro6MK4DoSOhrms1m\ni8XicDiITEgJaTUW3tALHx8NacF5xMXNOGZD7bQKn8HLuLICiRRjDAcNWOXIyMhTTz119OhR\nr9e7adOmBx544Gc/+1ldXR1jbNOmTT/72c927NjR2Nh4yy23QMyTzWbD4TBwiLfffruhoQEz\nYZBrAq50OBylUsnr9RoMBkmSvv/97+fz+cOHDwP5z2azdrv905/+dLFYzGQyyWQSlwmkjQMD\nA5IkrV+/vqmpaePGjXfccUdLS4tGo4lGo/AUTaVSIp8+j5efzWbPnj2Lw9Xd3X3rrbc++OCD\n/f39Z8+eRYUHUBQCQYvFotfrp6encd4RC5G4p9Ppq1evImMG+qLmizLGoBzT6XQYskGAFmMM\njB6NRoP4ijS6WCyOj4+Pjo6GQiHMuFB3GVfbqgbCFS2FSyM0fGoSPlT8L/nIqDvVjLPXKIGt\nqMz6iHRDdST+F7AkiqpwOLxx40a4bFcqFbvdbrfb0ckHgdtkMkWj0XA43NnZKQhCKpWamZlx\nOBwWi6VYLJpMpnw+39ra+vrrr8uy3NbW5nQ6S6XS5ORkIBDARAh0sCEu1Gq10Wi0UCg4nU7M\nJ0NbAlUdEdJAN8Ax0PLxUoj3hEnCCgAvE0Www+FYXl7GCQSbBokzeK0Vrp4URTEWi01MTAiC\nYDAYQOnGW6QOt2RagZKaXIzxSHwB5TI8cfAcqoHwhl4iZ24zbstS4gO5qNoQBEFND0bKJfMx\n8RXuWYEUKhQKPfzwww0NDSdOnPirv/ordAcWFxefeuqpvXv3Hj9+vFgsHjhw4F//9V/L5XJT\nU5Pf73e73Yig6XS6oaFhdnb2+PHjmUzG5XJB2240GgGBogkiimIymYQIqlgs4lyA1PZHf/RH\npVIpnU7H4/GFhYVTp0699dZbCKg//OEP/+3f/s1sNkPmC5Q1HA5DRCRJEry/8XJsNhvi+ksv\nvfTaa6+99dZbbre7p6fH4/FEIpF0Og3DjXQ6DeGEIAhzc3ORSAR2HDqdDlCzJEnpdHpubg4x\nLJ/P011HfT7cddALMq50BHID2BnhkDoRsHW9cuUKSudQKAQSwCpc1UC4ogXwTeR+aYqKLyNc\nO41WfRcjFVX4UFBqOEvcKgngKp3kisoX4+WXX66trd25c+dXv/pVRI7l5WWLxdLb27tnz57R\n0dHW1lYYsDU2NpbL5Wg0arVab7vtts7OzkKhYDQa4/H4hg0bMMI3FArBn+UHP/gBhg4Gg0F4\ntZB6F2Dm/v37v/jFL958881dXV1NTU21tbUCJ3bTFYPQgldNrlFEYYDhBZBYmdtTmc3m5eXl\nxcVFXGc4yRBaiCpLJ0VRLl68GAqFIKhHICTsC28gFdmMq32pg0hDDal9i0eCXwMYtrpu0EXt\nMeopSNdalKnBeXW2il0hc7UrSByghORyOZvN1tXV1dzc7PV64RF68ODBdevWPf7443//93+P\nyHH16tWurq5kMmkymeLx+NWrV8fHx9Est1qtGBkvCAI4aMSilGUZ6qbTp0+n0+lDhw55vV5g\nnohAn/zkJ4PB4IULF44cOXL8+HEYh168eBEYzBe+8AV0Aaanp1ELoluBF7u8vJzNZjOZjMPh\niEajL7/8cqFQGBgYmJ+ff/HFFzEBFEoMEiNqNBpk0ojWwJ9oogXeMeTHjDH0FNUhkA6geC0B\nm+o8atbiL6JPAWElYywcDo+MjASDwQ9g66xgVQPhipa6EJS5jToCg6hyVpNV5pb4J6oONXxO\nBWOswqegKZxVLHItOX5/oVBobm7+yEc+Aq7KwsLCuXPnDAaD2WzetGkTWmgoiZLJJFAOZI64\nIMBSgbMaUJpMJgNCzcjISC6Xe+eddyRJyufzQFeAWjDGmpqatFotBla0trbedNNNPT09jY2N\ngDuoIYf4LaomthC1DGLn1tbWrq4uHFrGmMhtUcEjQDmI0wJ5vkajQUkHHk2ZT5sjmQR1+7Co\nUU9GPwJn65B3D9XZGm64pQZzquuGWwSoKHwYusIt76lSVDhPTVEUAKEUILH98L8V7tjOeNXo\n8XgMBsPMzMzk5CTjQ4sSiURjY6PP50smk5lM5iMf+cjFixdra2uhi7darRqNBmP8kPK2tLQg\nucT3dTqd0+l0OBxnzpx59dVXfT4fUFw0y3Fa77//fqj9FEWBURlIK4lEwuv1ViqVs2fPHjx4\nMBQK2Ww21G0iN12jobh9fX35fB4De7dv367T6UCfwSnDqUyn02XumG+xWNCVAGcVlDqcI8yy\nZ3ycDt1s1BEkQIvwFbrZ6CqgdgkegAQUx7y8WgdQVK+GFS1SB4rX6napNaioxlAQOQrtQ9zL\n1Moql8vYE4x7ZtIGYtyul2rNTCYDg4nt27c3NDS4XK58Pn/lypVNmzbF4/GBgYH169czxmw2\n2+nTp5uamoLBIAz1DQZDZ2fniRMnZmdn9+7dC5DzRz/6UV9f37PPPuvz+aLRaDabNZvNIIsa\nDIbNmzdLkvTWW2/BR8PlcnV3d9fV1W3cuLFQKExOTh46dAizttFUl7gjPjAQk8nU39/f0tLS\n2dlZKpWSyeS5c+e2bdsGARNqRGBBPp9vYWEBA6RQKSJjLZfLuVwOFojweCyrhl3gPad3hg7k\nsmrkN92SFT4JWW0+IlVn897gS1CRFWWuw1Nrk9RgDA4XxR7cwplMxmKxGAwGOD2JfJQYyr7t\n27ejESDLMh5WX18/ODjY3d392muvOZ3ORx55ZHx8vL+/3+FwFAqF9evXDw8PQ3XQ2tqKhgLC\n7ac+9am333774sWL2PmLi4smk+kXv/jFPffcA7AUYt/6+vp9+/b9+Mc/hvHTxMSEKIoWiyWT\nySwuLn7lK1959913K5VKKpXasmULbiGARrgxoJ2455574vH422+/vbi4+L3vfa+2tjYSieh0\nOofDgbOAl4+Yjd8ARRa+RvcUUXZubi4YDIIiC90XSlt1qCOtlFqbpP506D4k7SBOt7KK52NX\nA+GKFtIlhbuZEBiIf6Xjp06UqK2IGogxhr0F2iRhOGCKKoqCPToyMgKJa6VSee6556LR6LZt\n23w+XygUuvfee71e76VLl8bGxvx+/9GjR9euXdve3j4yMlJbW5vL5Wpra71e73PPPdfX16co\nSjQa3bRpU1NT0/nz53fu3Pn444/X19f//Oc/d7vdqVQKLLhoNBqNRmtra++//37wUwKBgE6n\nM5lMkUjEYDCEw2HwcSqVSk9Pz/j4OHJDVLQ4Kphcs2XLFqvViu5INBrV6XTQL0ajUaC4YJaP\nj49v3boVWSS1FoBWGY3GS5cu4dCi/yFwS36Z+0ipIyJSb5FbbzPGiPCmcDOLSqVCZN33fddU\n1+9z4do1m80yF4kzPs6Mvha4wJzxWxtfUFcbilVc0ATbVCoVq9V66tSpsbExp9NpMpkof9q7\nd+9DDz105swZ8DxPnToly/KuXbvGxsbK5XIkEoF47uabbz59+rTP58P9cPvttz/77LOKokCu\nAEuab37zm9/97ncPHDiwf/9+yIecTmc4HG5ubv6nf/qnb37zmy0tLcvLy+Fw2OVygV86MTHh\n8Xgg3oCXhV6vx0xsgprQ9bz33nv7+/uHh4cHBwcjkUilUrHZbIwxQLvT09NILmlQcCwWa21t\nBYxJPDiUbouLi4FAoFKpJBIJOHRTtCPLC7AlqCgvc88sCpMCb+erH7CaHUergXCli84YaVoF\nlaUe46w2XNnStUbPomoadUWlvgd4CIwiGo3GYjHIehAMxsbGlpeX5+fn9+zZgysefk6dnZ1A\nMOAcuLCwUFdXB8KOJEkejwf4PtJen88HsbwgCC6XCx01SBWBxmQymT/90z8tl8tut9vr9RId\nBnfB+Ph4KBTClBbGGHxeYC0IFBeRBn6kzc3Nbre7trYWTJl0Op1KpZqamkBaE7kEAkdCq9WC\nZYe0vVgsGgyGUCiE1kUul6Mzo85DccZwrtTsbUFlB0WNDS23NsafW7WHsLpWuAQuTKIK471n\nkHrzv+kMkpML4wMOsW3QTchms729vYBSDQbD2NiYy+Wan5+/7bbbfD7fs88+Gw6Hh4eH165d\ne+zYsaamJjqDIO+wa8+gxWIBBFJfX3/s2LHfdAYlSfrMZz5z8OBBk8kEG5pisZjNZt1udzQa\nxTMMh8OSJPn9fgRXOoMil4jQGezs7JycnIQbKg4vEuX3nkFZljFbkd4HOoOiKOIMUi0oqtQR\n9HFI3M2O2jrvTU8ZY7IsI9ldtWewGghXtCgbpTCGmWHvzUbVGAJ7TzaKcUVqCTBjzGq1Hj58\n+MSJEzt37gTNEpDFPffcs2HDhmAweNNNN8VisQMHDrS1tW3atAle25SNbt68eWhoCA5qWq32\n9ttv/9GPfrRjx45169al02mNRuN0Or/xjW80NzcfOHDAbrdDYIQpZd3d3Z/5zGcsFgvOJ2gs\nsiyHQqHZ2dmbb765trZ2ZmbmmWee0XJ3XcYYRBGMMWgeHnzwwR07dvj9flEUMZbMZrNhGCEN\n1EU2CilkLBajudu4Pip8COri4iLe3kQiQW8RDrw6GyVpIBGXZG5vSOAM3XoCN51ZtYewulay\n6HqlJsXvhMrgO/hZs9lMyAGSJDwYmdnExITX60Uv/LnnnltaWlpeXv6Lv/iLRCKxdu3a2tra\n8fFxTDo7fPjwxo0bfT7fSy+9hANVW1tbW1s7MjJis9nS6XQ0GkVT48UXX/T5fF//+tc/97nP\n/fznP3/kkUfACHM4HFNTU6VSqbGx8bHHHjt9+nSlUnG5XDAXjEajaBYEg0G9Xt/S0tLT0wPo\nCJp9xnsuULJ/6EMfOnfu3OTkJMw3bDabx+MZGxtDjUgcuvHxcWrM4z2scHNHg8EwNTWFXj6K\nYPpDFT5CgK44gffv1VdfTU2NzOchy3zaGlWH7/OeWfmqBsKVLsqJcCABCVJDnmpExnvL6v4E\nTiNcdGGPCwgFkUCj0Vy9enXLli1+vx8G2ZD71NfXp9Np9CdmZmYeeeSRc+fO9ff3nzp1KhwO\nr1+/3mq1oiff2to6OzsLiwpRFPfv34/f6XA4nE4n9SfQ50enBP2Pffv2lctlv9+fzWanp6fd\nbrff75+fn0d/YteuXR//+MeDwWAgEEin00w1UhH9iUwms3///k984hMIRd/97nebm5uj0egf\n//EfW61W9EIQ1BH+UfKiP+FwOIB5wueCMYb+BOMYssDpanTwiLJEX1/Xn6CSkZyf8LWi8s6v\nrht0AcFDiU9X6nv79ATlXdenlyQJSD5Bo+Q7gR+hPr0oiktLS1qt1uv1CoKQyWSQAm7fvh35\n1qVLl9CnP3jw4BtvvPGFL3zhpZdestlsIyMjGo0mGAymUimbzQbRxdLSUrFY3LZtWzweHxwc\n/Md//Md//ud//tnPfnbPPfekUiloIUCQttlsu3btGhkZefXVV2HPC4FQXV3dbbfd1tLSAhdT\nogWptzRuG7PZfNddd8mynEwmBwcHR0dHX3311VQqhab+dX16yDygOY5EIiJXOiH0NjY2YmIM\n5fF4l+gLSWV3DqRX4G6L+Jjo3lO4PyWujg9g66xgVVmjK1pVxlqVsVZdH+yqMrfFKnP7/2yt\n0qe12tZ1GibAMr9JwyTwDrzwHg0TMlMUZLlczufzBQIBj8fj9XoLhcL09PT4+PiXv/zlj3zk\nIyaTSa/XJxKJ6zRM4XB4fHwcTUGr1ZrNZsHwbGhoAIVMrWFKp9OnT59WFOXYsWNerxczksCU\nQ6k3OTl5+fLlrq6unp4eRVEuXrwIX4yvfOUrpGFqaWmBhglbGbkeNEyg27z88su9vb0DAwML\nCwu/+tWv2traoGGCtBaHExomOMCpNUyiKCaTSfQm/xcNE14RU9k40eeCmw4JAXonVIsD1SmV\nSuFwOBaLwTGkum7QBfaKzF0gKqoJQYJKy4stx3jCJP82LS9gCUWl5aXx0S+//HJ9ff3OnTvv\nu+++Cxcu4NRDy2uz2d58883W1tbx8XFoeSORSDQa9fl8/f39V65cwYzPYDC4a9euixcvQsvb\n3NysKMoPfvCDv/u7v7ty5UowGLRYLLhGGGOyLCMc7t+/H4GWHImpI0AbnrS8siwDWMIpQ3TE\n84SWd2Fhgf0GLe/y8jIuBGrp4RK7ePGi1WptamqCDB/u9vgnxrEZiU+jUxeCCp+wxlSjPxA1\nEQVXrZa3GghXtK4Dx6Xf0dUC+wNMMMAdqVTqscceC4VCx44dGxgYSCaTpVIJrhZdXV1vv/32\nrbfe+uKLL05OToL5yRirqakZHR2VZRmuFm+88cbx48fb29s9Ho/FYonH44gxsJVBcgpwEk7w\n8CRbXl72+XwPPvhgNBqF3wR53qPt8cMf/jCTyZjNZonr/WdmZhifIAokByL961wtSqVSJBIh\nV4tQKGQymXCSkYSSq4UkST09PYjHcK2TJCmZTF7nakEnU+BkGQiNTSYTU5GS6CrEkUNLEjE7\nkUiEw2GcdrAPPrANVF3/z0tRuTshHqBYIXcnbFfKkyq/wd0J0ZQoNhVulC+r3J3ofr/O3cnl\ncgFTIXenYDAId6fu7u7Z2dnf6u4EL2xyd1q/fv117k7hcNhsNsObFDwahD3cOXjaGr4Yd3cS\nODuMQKnf6u5E1D/0UNPpNKUUcHeCCus6dycquKEzYYyVVQvHWeFTpWh6q6BSN30AW2cFqxoI\nV7QU7nMoSRK8Ev4Xn0N8R+1ziLkTjCM5uVxueXl5ZGTkhRdemJ2dbW9vb2ho8Hq9W7ZsQVcf\nPocf/vCHK5UKfA5xj4fD4fr6erXP4c033yxwn8NCoeBwOHK5HHwOBUH4/ve/39jYePjwYdSO\nQG8+/elPRyKRTCZDzEz4HDLGGhsb169fPz8/39jYqNfrMaEGrvyCIKRSKZS/1/kcOhwOvV7f\n2toqSRLg3LNnz8qyvGbNGjwSfqHkc9jW1lYoFNxud+V/8jnEuAli9wkqn0NBEEgIRTgnmvNI\nqwXeri8WizMzM4lEAo4zeCTlKNV1Iy5sCcCJQCDZb/D7ZXx6H5EYgdyoa0QqK4kDSUxUg8FA\neoBEImE2m2+99dZQKJTL5QqFQqFQMJlMgiBs2rRpampK7fcrSVJvb288Hh8ZGXE4HJiYPT4+\nrtFoMpnMAw88MD4+7na7GWMDAwNnzpx54oknBgcHd+/ejaAicL9fjUYDv98yd9nGzUM0aSCZ\nisrfSvpf/X4FQXC73Wq/X8T1Mh9VaLFYkJ3DCwYtxi1bthiNRlgcW61WCmPlchmXG84vfg/j\nzviAYfBUqaf73qbGalvVHuFKV7nqfF91vq+uD3Qp1Qkw1Qkw/zerGghXuqqz0CrVWWjV9cEt\nuToTtDoT9P9sVQPhilZ1OnZ1OnZ1fbBL4Sx8IhUTKojtJ3GfCnyfIiIyUbUTGzYeihv8chyc\nU6dOUcqFqujuu+8uFAodHR3Q/ODUAGux2Wxarbavr6+np6evr6+2tnZ5ebm9vV0QBIwzw17d\nsGFDTU0NXJZOnDghSVJfX5/T6YRD9zPPPMMYW7du3SuvvALjCxSOVqsVCApjDOCk3+/v6OhA\nFgvTJaqABU5XIewEYzRSqVQ0GjWZTK2trcgeEonE3NwcmuUI9niZmO+GH8e/SpKEdBa9yUwm\ngxQBZwou9iaTCTwaUWWIL6jsD9WwLTFoPpjd89tWNRCuaIl8xA8+SKILo2Vd4dOU2LUiCsqG\nsIGA7Ofz+bm5udnZ2ZMnT0aj0Uwms3379u7u7uXlZRDP0M93u92Dg4NtbW2MMbSgt27dGovF\nBgcH0+n0uXPn+vr6tm/fDrUQMEY00hCwC4VCXV1dMBhEjYVDi7SOMCXGKekEEymKgvoPtRrh\nHsQHw5/Q8EkrOHu4VghpoUciCUWABGai4RaRdrsduTl+M4TDVBFSICQGGgFijOPPskpQj5MW\niURwAdFVSGcPV+eqPYTVtZJFZCgEmAo3NmJ8w1DRo1zLEZW5uxA9koAEmbu1qU9rsVjEbkHz\nTFGUQCAAJzPwMzE7CdwZt9ut0Wjq6+tBBVheXna5XLBSkmUZzhJOpxOUMWgKy+Xyli1b+vv7\nwSF/6qmn5ufn4/H41NQUhoMCDqV+Gw4s0m74xVBxzDikqQY2kftCLIGd7/f7UVNSyohMF4dU\nEATcMIB58B24OyUSCbQk8vn8MndL1uv1wD+RieLTEa6dSkERmvHgJ7xnbMWqWlWyzIqWRqMB\nTAH3I5GrFOgI0SNxHsAlATTK+MGbnJzEtD8M1+3v79+8efPy8jLa44AKFUW5cuWKVqu9fPny\n/v37LRYLVEoajcZsNvf09MAp9MMf/nCxWDx16tTw8DDEFdiUlUpFp9O9+OKLXV1doVAI+H46\nnT579uzo6CjQQnU7gZ4bDgxoacAzZVnGZFESQSJC4/Sq+wog5qB2pPQcCkXUi8Vi0WKxOJ1O\nFHA43j6fD6NBtVptMBjEfVTmLr14h0maoq6zKZCXue+rTqdLp9NTU1O4I4ioxviBRI8TV2F1\n3aCLqj0ietAZpMeQ2ACqOAqBFOcQDKiJyBhDxYPjQy1niijYySaTyel0JpNJDF3CcKVYLNbU\n1FQul8GXMZvNO3bsmJ6e7u3tPXnyJH6qvr4+k8no9fqJiYm6urqmpqbt27f/+te/PnfuHGMM\nrcFgMPjtb3/7Yx/72IEDBzwez+7duwuFAsRFGBZIbTlMsU6n00BcfT4f47C/zM0Osc8x4Cyd\nTptMpt27d0cikTVr1mSzWUEQ+vv75+bm8AuBISEugnRG9GwY5YyOjtbU1DidzqWlJavVGggE\nrmPbkpZMHZvxlIjcS++2mlS/2tbqDdGragEKh6icUAuFjzUQVX7QMp94gP8t84n2y8vLXq+3\nvr4e6EFHR0dzc/OlS5cuXbo0OztrMpkGBwdPnjzZ3t4+MTFhMBjuu+++cDhcKBQ0Gg2gy2Kx\n2NTUBNI2Yi0CyYULFxhjBoMBdFaj0TgwMFAoFA4dOhSPxxljTz75ZDqdhhKf8ejFuCICrTXU\nuIwxlHdwj9PyJXALJS0ft6bVatHwp/IXABRtenQERW54ZjQa4crodDrRt2C8aI5EIqBoI4fF\nuUJzQlbNyEZ4w3uLb5LrmyRJU1NTOPyCynxS5qMKkc+qO7jVdcMtRVFQKilcrStx3RseIHAW\nCTH4CbRAnADIQV3DZdXcSoEPtkSEYKqLXpKk5wY36AAAIABJREFUXC536623trW1KYqSyWTS\n6bTRaLTZbPPz8/A7tFqtNpttx44d/f39s7OzgUDA6/U2NjaazeZyufzuu+9CvIQREzMzM5SG\n6nQ6m80mSRJ0h8lk8ujRo8ePHx8aGkK3Aq8aPqI6na5YLDqdTkjgg8FgOBwmIhtTjbhZWlpC\nx6S5ublUKsXjcaihstms0WiE1yjwGPDmNNxGn5i06CwuLCwMDw8jQ8VYYC2fA4q3iO4N9cfE\nVFOUaRFS+j5umd9hVQPhihY2rrpLj9YU5UHAbdA+pK6hOutEZx5R0Gazeb3e06dPh0Khtra2\nXC43OTkpCMJtt93GGPP5fLFYbGFhwWKxIIclUR35CpZKpfn5+Uql0tDQcPny5eHhYRRbRqNx\nenra4/EsLCzghOzbt6+7uzubzZK5FFlRU5hBRIToh7S91JkDDCKqjM3wVoCko8ajGI+IeBie\nACKioigoqfHMcYshOEWjUSTvICBcd7XhhRMWTZ8FCkdU3plMBlOzrztmuNqWV7HnfXWtfAlc\nCE9WJpRmiSorfMbnbRFzROacYWROhA0QYKNwoqma9E+YIdpj09PToJCYTCag+ii/GGOZTKam\npqa+vh6/B1JXv98PHS1jDA6C2WzWYrGMjIxAMkhCQIyhDwQCk5OTCFe5XC4QCKAVh+9gYSfL\n3FYXJyudTivcSQcvvFwug+aqKMrOnTuz2WwgEMB7BTorHgPDNqp6wXwBNivLcj6f12q1uVwO\n7QZSKNLNRr1JxhlJ131eimroknStAfoqXNVAuKKldn9A2UERkcrBimq+PI6czLUBWq12cHBQ\nr9crigLR3iuvvHLnnXe2trYeOnRo3bp1sVhs9+7dQ0NDi4uLNpstFAqdOXMGM/lKpZJOp9Pr\n9QaDweVyzc7OQn3PuOCho6PjmWeeicfjgFB+8pOf2O32N998M5fL5fP5L33pS5BbFItFiISo\nKcK4GBbPHPsbPQBCihAC4cMEQgG6gxhDD0QU1FmSM+NA2mw2m82GRLhQKKC7jqkuIyMjGDoo\niqLBYLhw4QLODIBZxo8QvcmMnzTCojUqK22Yw6HDL6p88UEaQi3IVMqW6rpBF324okqOBjyA\n8T0jqrzW8InjlkewZCqzXEFF4VY4LQsVEhikuVxu//79kKXj7Lzzzjs4CHa7HUme3W6vr68X\nRRGODZVKpa2t7a677nI6nbCnSKfTXq83mUzCa62npwcK19bW1ubmZkmSHA5HJpPBkRkZGdHp\ndF6v12QyPfnkk7FYzGq1ArCBvQsuExw3QmVQ6QLyKRaLuVxucXFxaGgon89v3749EomsW7du\n9+7dIPj09fV94hOf+PrXv05EOSSjsizncjmkCIivEGsWCgW4UhiNRkVRYOJIb7jA7ZdJJkEy\nFcKKGGNoRjLGSOm7Clc1EK5oYd+TbhSloZZP9sHOIERO4UvgZhZ6vT6TyYRCoePHj2u12sbG\nxo9+9KOFQuHs2bObNm1Kp9Pr1q1D2wCChNbW1i1bthDiAXaJzWZbWFg4c+bMxYsXzWbz2bNn\nh4aG3njjjYceemj//v35fB5aXVmWw+EwwJ8333wT2zSVSqEkpf6ZdK1FHHJqHDyCHyWV/k/i\nllTAOUVub4ExwniZCKiMMavV6na7QZABrovX0tDQgOYK3kz412DGE+WbjCsFZU6Tobwe7yr1\nC/HF7OwsRl4IvBsvc14uGR7iQ6zWhTf0oiqEPmXAGDiMyIpI7coYQ7KIraWoGN0EyytcqE4V\nIfrfECqYTKZt27YJglAoFFKpVF1d3Zo1axhjRBaD/AB4Pv46ogVOwczMDBJZURTb29ubm5tT\nqVQ4HO7q6kLIbG5uFkUxHo97PJ7Gxsa5uTm9Xv/666/ncrkjR448/PDD58+fJ/EDABhgNmgK\naDQacHNg4AJHxkKhEAwGjx8/DoLrwsIChsDMzMxEIhFBEKLR6Pz8fF9f3y9/+cv7778fgGc+\nnwcuqg60AucNRKPRkZERrVZrNpvBpKtw41ZJ5aAtX+uAKHAmjqyyflVT3lbbqgbClS4cIZw9\nSscwmIkoauovZD6LBOe2paVlaWlpzZo1wB+SySRGydvtduRTMCC12WywXMF+8ng8RK3Ewcb8\nMNSOnZ2dOLptbW2tra3lcvnKlStOp3N6erpSqRiNRrPZjCeDadREk9Py4TUSl7sSvoTDRnUY\nNefoNsEPajQaTAcFxY5+XOY+A6R0Vocfs9mMPj+pgyH/oFOHPwfQVVDNECCAS1appBlj4AUQ\n9kXwLHEBRK5sUVSjKqrrRlzLfH4sofGE0REjg5hfjDHqZglcYEcPI2WFTqfDsUIEBcUG4oQN\nGzagkiPJBIwakCOazeZoNMo4pgICXTabdTgcgUDAbDb39fVls1mdTre4uOj3+202m9/vP3Pm\njM/nAz8unU63tLQAYers7IQ8v1QqBQKBs2fPjo2NNTU1nTp1CsAJ46CIwinQjMMelB0yxvR6\nvd1u1+v1IyMjdXV1NptNp9PNz8/b7XaPx0N0PHzx+c9/PhAIMBUtAL5rdN7xbjPGYrFYpVKh\nkWqMU0ArfH4ANWLpfa5wZwBqZ0gqEcUqXNVAuKKFDxgMZsL3gYuqrZtklfksvobQsFwu+/1+\ntLghzQGj2u/3j4yMWK3WixcvNjQ0DAwMaDSadevWAaY4ffo02gzZbHZxcRGRY8uWLR6P58UX\nX1y7du3mzZsff/xxg8Hgdru1Wu1zzz136NChUqk0ODi4Y8eOgwcPUlsRbG8k0chbKbkGDRqo\nKV4L0k+tVktTA+FcihoLMQa3DApBq9UK7hkin1ardTqdPT09FT6rmjEGZmwgEFAUJZVKDQ4O\nOhwOo9E4MjKSzWbx3gqc/oA8XctNFAVO1aFTJMsyCD7z8/M0ZYbxEAjdJOM1Oo5ouTp64gZf\nyM9krkQisETDZ0qUua0SpT4V7iJGtRRxr6jZQd19Ikun0+lt27Y99NBDOIa1tbXRaDQUCvX1\n9SUSieXlZVisdXR0wIbJaDQaDAaNRoOtiKZaV1fXAw88gF4ARklIkrSwsPDSSy+1trZms9nz\n58/feuutYHefOnWqo6PD5XI9/PDD3/rWt0ql0tNPP33s2LHu7u4jR46AukmpIc1uo9OKCwcB\nzOFw7Nu374knnkilUgcPHmxpaSkWi4uLi16v1+124/Cm02n4QD3//PNdXV2KoiA9VbijE4o5\n9EF0Oh0UxiDQwWRD5tbnomosFKXvWPS/6v+u2lUNhCtasiyTQA1pI0nTqPCncoTOIdCYXC43\nMTFx8eJFn88HCWpHRwdE6JcuXZJlOZVKuVyuI0eObNu2rVKp5PP59vb20dHRcrl89erVcDhs\nMBgsFovZbBZF8fDhw7Ozs4899tj09LRGo7n33nsFQTAYDAcOHDhw4MDY2FgoFPL7/bfccgvm\nnDE+Hlrt1STyubV4zlQgInQRfIr7BdwcPGF40CBkIqZK3AINeCmi14YNG0AQgC6Q1EsdHR3I\nnaPRKK6e8fFxHONcLkfdVokro6lapWIRX+MWKJfLQFnV5SB4N9QuIjyNVb1Gb/CF3XsdTiBx\nA9IK972kUymrfPWoLixf61CKtBUghMC19sVi8d5770VskGV5aWlpfn7eZDJNTU2tWbNmZmYG\nHtw1NTVtbW14GJ6ezWaDb8v69esNBgMujb1797a3t+Mk3n333fX19XAf1Ov1g4OD/f39PT09\n8Xj8pz/9qUajGRoa+v/Ye/PgyM7q/vu5t1tSq9X7oqW1jWbXzFgz9tgerxBsCGCzOCEOOCwh\nuEJCAqSKLUtBkfoBlUoVAVc5RcJmQvYEBwO22bE9eGyMx7PPaDSL9l1q9d4tqbvvve8fn3rO\ne8d5qyJ+8Wtrqvr5Y0ojtW7fvnrOc875nu/5nre+9a2tra101n7+85+/7rrrZmZmTp8+DS2c\nT8oNt7S0QHhxtJ61QJG9vb3/5//8n29961sooIL3njhxYnx8PJvN8tlzudzExMQ//uM//u3f\n/i19w5xpMNIpang8HiAoZsuAxzKaVE45OSgEfXH/jdzGuJlrE40+wg0tQQsNTcimcpBOp0WI\nTzrrZTuS/aRSKSBQjMTRjQH4vNbW1o6OjlKpNDg4mEwmOzs7T58+HQqFnn322Y997GP/+I//\n+PGPf/zy5cuxWCwcDqdSqXvuuccwjO985zvvfe974/E4V/D5fP/0T/+Uz+dbWlqmpqbe8573\nvOMd7wAjsrS2C+pNSjfRS0YoLYxCT3UDLwA+vPK+++7L5/OTk5MLCwvJZNLv909NTQ0MDFiu\n4dSmafb19UUiEQoPcLhDoRAZHpV/ZvbW6/ULFy5Q3oPS4q5KyilGFiuWJjVCpRQEAaVZfxyU\ngu2QHUocam5iwd/G2sgSCBRYwjAMdCSUi7ghNWYpWSntBd2MMEP3+Hq1cIRSCq4WGScT+9BO\nAowpFAqRSGRtbc3j8aBZH41GqfejNUq7PbONqJ5APKnVajfddNPa2tro6OjY2FggEIhGo2z7\nixcvdnV1veY1r0kkEiMjI4Zh7N69e3x8/DWvec0LL7xQr9ePHTv26U9/+q677orH4z/4wQ8O\nHToUj8dRhkLdCWwGLFeASrHcpqamP/3TP81kMufPn5+fnx8bGwMH9vl8u3fvBi/1+/27du36\n2te+9v73v980zWKxSMmjXC4LoSYUCo2Pj7e2tnZ1ddFIjWakfSVlVOzL1lR5AcbEcl+BfbOx\n1cgIN7qEe03vEZJLzJEQ4E7+FVOE/ey4ODV0IwCQrq6uBoPBvr6+4eHh3bt3w9FiY/l8vmg0\ninMCj52bm2tubk6lUjDQLMuClga3JRQKKaXQDr333nthkK6vr2O6KDNRUJRQTlB7QZC4bUsL\n+ypNPIFHOjo6ygDegYEBImLY2JwsHt1Kv3XrVmnaAzChjgghG05BpVJpaWlZWloiEbT0EABT\nj/cUe5aSj6kbh/lzSJVRubqaLJeqlgQBSh+UL/OGaayXdknbg7g3WzcSSF4iNWz5i8uuAKuQ\nUrdXDzDx6DknpmliNQRkuEmC2nQ6zWTd+fn5WCxGrw6mbRhGMpnEsmzd6pPL5UzTbG1tTaVS\n+C14KLfddhtypnU9TOrixYsTExNDQ0O33nrrzp076Xyfm5vjlGhubj59+vSXvvQlNPePHz/O\nm+LRhQeEWQnG4+hOPqwylUrdeeedCFCA95TL5bGxsdHRUSQebdvetWuXUoqPz0GhlKLjkIi2\nUqnMzMxQv1BKVfUQOkf3dMrzlzPQXSSShNXcrOIyjYxwQ0sKVPCVhVjMlGoOaClCwMAmKjT1\ngGwB7kAm9+zZc/Lkyde97nVdXV3j4+N+vx/kobm5mTmfN91004kTJwKBQDKZ7OnpiUajH/7w\nh7/85S9Tdb/tttva29t/+tOfspUXFxcPHDiwc+fOn//851/72teamprOnj2bzWYPHDjQ1NTE\nHAY+BTtYdiRhI9ExBUWAViBNaAIw37xe75kzZ/Au4XD43Llz6XSaYh7hoUf3Nm3btk26rBzH\nWVlZSSaThmHwHawLL37u3LliscjDdFxqMhJgShbOj6Rz0TTNSqVCh6+cd9AWXkTqYXldA+4b\n6ypdYkQk/XLuS/InGJ3S6Yi8nq1I0sb3sVBHD0aQMmGtVhscHKzX68i7CPnr4sWLAIPVanX7\n9u3j4+OWZfX29mI7fr8fEV3MAVXuSCQSj8fL5XIul+vs7Gxvb19fX+/u7rYsq7+/v1AoPP/8\n84lEoru7O5fLjY6OHjlyxOPxdHd3e73ezs7OQqHQ2tpK28MHPvCBT33qUzt27Dhy5Mjtt9/e\npAcU23oAheFSpZfSnTit1tbWt7/97W9+85v/5V/+ZWFhgT7Iqampubm5mZmZaDT6mte85skn\nn6xWq3fccUetVqMQIzwgLHd8fHxycnLXrl2cCTxJ5WprsbXqoQQfSqv84As3c0bYcIS/woJY\nxcHNoAN4GVIRdPduu3MXvjAMo6WlZXx8PBQKJZNJeKf1ev0Xv/jFO97xjuHhYdM0L168GA6H\nL1y4sG/fvqeeesq27Z/85Cdbtmwpl8vbtm2bm5vjrePx+Fe/+tXV1dXz5887jnPnnXfOzc09\n9thje/bsCYfDCwsL4XAYNSbaj5SrTVgqnXCmbZdsFTteyuZKjxwrFAo46Ww2u7i42NnZefHi\nRdu2kQ+lXkhdYd++fcg1CT8NibhYLIah9vb21uv1lpaW6enpbDYrJVUJ7QXhcWeHtpYwle+j\nDC7MCEsPRXN0rz3PXI5C+/+r57exrqIlNTzkx0jpYKkonfkBzruROlsrPbndBhxIimF1rf2E\nd1xfX7/llls8uu+eawaDwWAw2N/f/7Of/QzCyJYtWyYmJpCSx3a6uroWFxcRxMcz1Wo1BjLU\n6/WxsbG9e/dOT0/TivDjH/+Y6Ya/8Ru/EYvFaDccHx/3er2jo6MHDx4cHR0tl8tbt25dXl4G\n/PjYxz6WSqX+5V/+5cSJE62trVu2bGlra+MzUlaQ4hyW6/X+v2c7Fu3z+e6//37TNJeXl595\n5pmJiYmZmRncYT6ff9vb3pZIJB544IE/+qM/gjQgxEA6NJRSly5d2rlzJ5pWNAcT+ktpVti8\n7tRccFoJTTbh2qSJ6iZcRKAejwe5B3yYpCCGi8Zt62ZefpHolbO4Wq3m8/nV1VWKZHNzc08+\n+SQtg2g6JJNJ8qdMJrO+vr5ly5aLFy9ms9nz58/v3LmTcl1/f3+xWJyZmRkbG5ufn7/jjjsM\nwyiVSpFI5MMf/rCt2a22beMqCIRXV1flLLD13GA8N5EaO57PIipxwoEmWC4UCplMJp/Pi4MR\nUBSz37NnD2Am86QwJA6dYrFYr9cTiQRfiKCMBJIYlRRyMCGCX9vVi2JoVRppE3SuHFOnNFjq\nhkMb0OjVvuSUhxIs6HdND/xTOll8UaaCM+P7pm7pIWyytbiSchWVwTbD4bDX68U1plKpZDI5\nOzsbCARaW1txun19fUop0QusVqvRaBRRNNu2aZEql8uQw6loJBKJvr6+YDBIs4ToVESj0bW1\ntfb29ng8nkwmy+Xy9ddf/+Y3v3loaCgcDg8ODt5xxx2maXZ1dY2MjOzatcswjLm5OWrwwkOx\nr+xhl0xRSgxYim3b3d3dN9544+23397b28tnT6fT4+PjxWLxjjvuAJIlvkdDA25qc3PzzMwM\n82FM0xQp1xeZ3ovuQcIRMeGXa7/8aquREW5okfc4joMyiwjUiguUv7R55ZwKR+uRog04MjJC\nmTqTyXi93pmZmXe9613PP/98OByu1WqxWAzmiGVZPT09aNJbluXz+Y4cOfKud72rvb19fn7+\n6aef/uEPf5jL5YgWa7VaKBQ6fvz4f/3XfymlFhcXQ6EQsTNMsFgs5vf7EYKiz4GuWMEzxavR\nSyueCaRUWiMAeXK5HESyer2OfLbS5c977rmH56P04PhSqQTVrVQq9fT0NDc39/b2joyMBIPB\ny5cvS1WVWovSobTHpRLJd0RiW2BPnL1y6ahJBunovkZJyjet+TXWxpfhageUdBBfKLYmIZEb\nCSC9czfI4k2BKAjjyHjYeNJ9SxxJTokE9srKCn1Q2H5zc/Py8rLX6+3u7uZOAoEAiL3f749E\nInQ42LbNqO3x8XFesL6+HolE0MFQSq2srJTL5R07dgQCgX379qGP6Pf73/jGN77hDW/IZrOX\nLl36whe+ACSTTqf7+vo6Ojrm5uYikQhIDL6ZD2vrlnYhjrmjQE6G/v5+dI8LhcLIyMj58+ef\nfPLJbDb7lre85Z3vfOdXvvIVr9cbjUY5zRgaWq1WC4XC8PDw4OBgIpFAKEMI54S/HtcAXjFV\nU/cvCRVgE66GI9zQgq+M5YAHVioV6JpeLXuoNAQhR7CgfFBslpeXr7/+eiR3FxYWstnsLbfc\nUiqV+vv7MTME48PhcGdn5+Tk5Gtf+9onnnjCcZxvfvOb3d3dyWRyeHj42WefZSAwFco/+ZM/\nMU3z1KlTDz30kGmaExMTgUCA/t9arbayshKJRGytU9re3r6ysgIWxFEicJNkgfDICY0BPGm2\nxeNS5IeSwwlCcyTVwXA4DBaKR8cXckHSaCKJfD6PshTJX6lU4iHD0/G4BJw8Ho+AM4K38MDx\n5Y7jyFQauQi+kyNMudiGL/uuaayXcsHAAr2X1NBw0YmVCwlwdGEeurJINIgsNeEde56YjzIh\nnBqMgosYhjE/P+/z+cBjL126dNNNN2EytVpt165d09PTNOrZtg0vWim1tLTU19cHY8A0Tb/f\n39PTQ1dfvV4Ph8NKKSZa27adzWavvfZamncty2pvb0dxFMZAIpFIJBIAPF1dXTikQqGwc+dO\nr9e7vLzM4F+snt4Mr0tD1eMa6ingMA+QAs2hQ4cOHjx46dKliYmJ4eHhj3/84//wD/+A2dJH\nWK/Xia0ty0Li/7bbbqNiamoZDXnsSre1OJrLzROW1s/NuTapf95sy3Ec0R4jBRH9BdvFIZat\nhpOQurHX652YmNi1a5dXT/SNRqOVSiUUCpXLZabMK6Wmp6fRSalUKo7jBIPBm266CVmjW265\nxefzPfXUU88999yPfvSj0dHRpaUlJtpPTk6eOHFCucTVRP2I2h6xM+6Nep7sV+zBrajL/Tfp\n6RPcvDBje3p6tm/f7jhOf3//rl27otFoIBBgi2/fvt1dD8dZglzJ/KOmpqZEIoGGLwQZpU8x\nWzNFBW+R23NcjYDu/NX99Yv+WJaW+BHba0CjV/vizBU8HNCSGFQ2g60VLSQvpAqAUXAFIlql\nQQu2iux/j8eTz+eVUvl8nj56Gf6ANUEVkbm7RITr6+vLy8vgFsFgkPeScQ2ZTIZuBBKmcDhc\nLpcZwNnT07N3795XvepVTU1NxWKR6I0pE21tbdVqlTFMtm4FrtVqUpifnJysVCoQc8rlMlVA\n0X8RARpJFt0ACWbe2dmZy+W8Xu/KysrQ0NB11103Pz9PigkAQ41jdXU1nU4rpZBZXlxcJGCt\n6XmHHq3yY2k5J64vWgeSyjcywqt7yXb0eDyMRpK/K36Rv7SQGMUlEGAuLS1RVgTZIOKLRqPZ\nbBZFXa/XS/mhXC4jk9bX1/fd7353YGCgo6PDtu0LFy4cOXKEiUKM8/3Qhz5EAPvMM8989atf\nZSjSwMAAt1qtVovFIjQ2IMq2trZAIABGallWpVKhI76uZ+dy59FodPfu3YVCgSGioEko67Ot\nAUj37t0bDAZnZmZQzW5qarrjjjuUUtVqNRaLYRIwQukapI0yFArF43Gv19vW1kaV9EUEM1Or\nSblDe+nusnVrCmcfVuqe/aR0D5k7GlXa8jdzQNpY/+OybZsub3YC1kcrgrzGXbBXrhGGspHc\ntTTIMvwiWmvU8sfGxsLhsJBlcHvFYjGfz1cqlWAwODk5Wa/Xr732Wu6K3j4E2JLJJHQepBOZ\nCNjZ2ek4TrlcDoVCsVgsk8m0tbV5vV7GU+MsYYratp1Op2FskpDZth2JRLiO9B+HQiEKKCSU\nu3btmp2dNU0zEokEg0HqLLzADRRLu5ShVVW9Xm8sFsvlcjt37jxz5kxTU9PWrVtnZmZuvvnm\nJ598kg/Ly5jfZBhGJpNpaWkhrId9KnUi48o+FqzP0F0ukjW+7BtnQ2uT+ufNtvAHboSNQXdM\nDhLnp3ShAivFczzxxBOHDx/et2/f8vLymTNnGBU9PDzc2tpK6IcOtWEYq6urFy5coMvw2LFj\n27ZtoxR/22233XzzzcVi0bKshYWF2dnZVCrl9/uTyeQ///M/A4qSSgYCAWyD8JDiXL1exwWu\nr69T1TN015H4nubmZpHGvnz5ci6X6+rq6u3tTSaTMgTOdk01Gh4ePnv27MzMDCy4G264AQQY\n+IhoN5VKSe+zx+OZn5+nldDr9abTaZHmkexN6cQaK5Vjy+0FuW14dHLD/EUMrbMlF3Tn6IaL\nydZYV+OCrS14hqnHw1IqflHApDQwYLg6Yvkm7sTQ6ttK55dAID6fb35+no4IqoCVSoXLtrS0\n2La9srICiRSQEIglFApt2bIlk8mUSiWuDH+1paWFjG11ddXj8TAEprOzs62tjYyK8sr6+jrN\ntY7joJJhGAaJKaBuW1tbIpEg14SJ2tzcnEwmOzo6Wltbz5075/V629vbcdjILRFYC4hFjmjr\nScWSJu7ataurq2tubm5oaGj37t3T09OWZf35n/85Tcx+vx+ajG3bKAysrq5yjuVyOUBgAGp5\nvB6XLJTSMKn8ETdttb5xNGxoSW7RpOf2cRBDJ+E1bkcoQIFt25OTk9ddd53jOIyMDwaD2Ww2\nGo0qpTo6OuLxOLhrS0sLjA9KbgysIGlbX19/4YUXZmZmlFI7d+60bfvQoUO2bU9MTECqZAq8\noSe8K6UQhGPjGoaBGpPwUIQm49EzJQTfgA5TrVZnZmbS6TSBcCaTGRsbO3Xq1NGjR59//vnn\nn39+eXkZ3f16vR6Px6+//nqlIUpsDEq3pedRwNCRx4XNK1es+iLWu9I4leR/0hlmuBqlhSgh\nDs9xMQCl0Ghu7qGgjbXBZesJBvKH9roGwwq7SrIT06UELWUzunccV02RBSiCaeMtTC31AKnE\nMAwqdqYewAKsgu0wNzudTjtaW9E0TSZCRCKRWq1GBR13wl7F166trQG9YgJEq0yTICt1XJos\n3LkYr+C6xWJxbGyso6ODowCKONYtxu4uEwpwUq/XOzs7fT4f4ymIBjo6Om6//XaQWPJmTg/4\nd4z/RCWRByU99aZum1ZXwjAe17zSl3PDbHw1HOGvsARgkW5x9ofpGmwmBy7+6dy5c+9973t3\n7NhRLpdXVlb27t3LiHamTwChTE1NUSFYWloyTXNoaCgajTbrcdLd3d1LS0snT54EUZyfn9+9\ne3cikXjkkUeeeeaZr3/960q7AahxmAr8T8dxaHXo6elhd8qkeKQrmvSEYQxAGiEIbMEeUfUF\nIWltbe3t7e3v729vb0eA1OPxvO9970vWqIUeAAAgAElEQVQkEjQmUmBgnCntwDwxmvoloUTv\nzdGCkHW93F6NtM/jGukpghqcF8BK4hqdK5dyuVKvVih+BTdPY/3vl/gYye9JbmSHCLSulCLl\n4rDmdLa0HmlND8wTmNTjmmWolEJKaXl5GY1pNmcul4vH49VqlVG9oVAI9TL2PMjhzp075+fn\n6ZpAd2llZSWdTsdiMdu2t2zZEo/Hz58/HwwGQ6GQYRjr6+v0aYRCIdJHShukdJFIhMtKRSMQ\nCNBxIVO70a+h4nDixIlqtRoOhx3Hob+CF4RCIWk65NGJrDaRdyKR8Pl8Sik0ipubmz/96U87\njpPNZmmVZrCaYRixWCwQCJw7d+4Xv/gFPHMSTetKURGPaykdInsaDfVX+2pqagoEAkw5cFxj\nPOnndZOG3S07LS0t1113nVKqWq0+8cQThw4dqlarkUhk69atDz300Ic//OFisejxeEKh0NTU\nlOM4v/jFL+69994TJ054PJ7u7u5sNnvs2LFqtdrX1xePxwuFQjAYrFQqb3zjG5955plt27b9\nzu/8Tj6fFzoWBXOlFEOrDS3IQm8TA+LxppQfQFMlrxIdDS4C+q+0wD/S27ygq6traWmJjPPg\nwYOhUAiHB52dyTW0WDCYghwaCR7+i0Sq5VJHxH7qekSUo0cE2Joub14pGfMi3XNxqMrVgyFd\nGaxGRnhVL0n+1tfXpd9USJ6CEzTpAdqO48DJUq4giTxJTNjQPQY4DDoU0dRWSsHDNAyDNIgI\nWClFDS8QCLA5T548eeDAAcwEEvjCwgLmz6Bd8qomPaZm3759MzMztm0zmx7/USwWRRmAKdaO\nnpfk0W2+1DXorCBShHlHsYBxpJlMZmpqKhAIdHV12badz+dxgeFwOBgMohLFRXggRAM9PT2Z\nTEZGpwH2Sn8UTFTcM48lHA4vLy+Pjo729vYyHkcUwLngiwpGSuPPL/+22eBqOMINLUJOS3fa\nkWkBZnKyS8pvaPVbwcpxIeRV9Xp9aGjo8uXLBFB+v39hYWHbtm2pVOrrX/86keYvf/nLnp4e\nIEcE2FpaWg4cOJBIJHK5nN/vX1xcTKfTDz74oNBzsAoZZEhdENdCGx9ST7Ozsz09Peh85nK5\ntrY2BOY5IOr1OqeG0hEcn1SGIiG9BkGutbUVOHfLli3EB9QjDcMolUqBQAAagsfjqVQqpVIp\nmUy2tbXRmAWORJ1DGk4s12wzjKdJT8mRLJBsQERfpZPaDZcJFupOJQ0tqfry75zGeqmWbdsU\nAshdxIcJF9HRxTCllYkEEcUJIQFDmsJJLQgqLwYMJLhk2pHjOIVCgSIFHBMwf9AXDoRUKnXu\n3LktW7aEQqFAIFAsFqHMSFU7EonQ54CzXF1dlQnVjCekNikoqDBNsFPLsuLxeFtbW61Wg3FD\nTCCAJ5Q0+jRisRg3ZlnW6Ojo9u3bPR7P0tISmSLR8Iuq8jw9+EFyQcMwrr322vHxccMwCHDB\nqCT5W11dPXbsWKlUuvbaa8Wi5Q9hXNmqoa7sr9+EqwEWbWg5uhVG6Xo7oAHESOGqKW2B6kpJ\nM0Hnuru7weJjsRidiGtra8FgcG1tbXl5ORwODw8Pb9myZWFhIZ/PP/fcc4j+BQKBWCy2vLzs\n8XhWV1cvX778rne9C1I4Vk2BkDocmZyppylhyQSnDE4jPyPWk9RWaaYrsbaE3hTJM5nM/Pz8\nzMzM0tISsuAyVon9LbKN0tiOA+ZsAkkmKeR5elxzc+SRSuXD1FOiTC0TI05OwGdJBB1NhRAb\nlucvFUS7wRe9+pccqYLCWXoe7IvqTxK2un/L1FKc7EYxELmCqSckCGpKfb1QKIj9KqX8fr/I\n0FerVWCYQCAwNzdHVYLf7erqSqfTXAECF8VFR89IqVQqkUhkenqa8oqtZSX8fn8wGJTuBem1\nRRwVNBWOnqknYJMTQz7HBiHcLS4uDg8PUxmB+SldH4bmEIn582QsVyNKf3+/6O8QARAum1qd\nh9ha4kvLNTRU4lfx1pvZC6pGRrjB5dX69BzEuVzOcI2hlxNcjmP8E6+B1ZZMJldXVzs6OlCL\n3r9/v9/vX1tby2QyfX19i4uL+/bt83q9W7ZssW07GAxSe49GowcOHLhw4UI6nb7hhhsmJiaK\nxeLBgwdf97rX4fmIeen2ZR/jb6LRqOM44Dm8Zm1traOjg7pgb2/v0tKS0vGgVOMEbKRdXYCU\nbDarlKrVaozqxR8rpX77t397dHRUaTX6QqEAQYCTiOIKORyKTbyR0vqrotkt0b2gQAKtCGoq\nTo5OXh6+lHn4XUGn+auJp3fnDY11lS52JjvB1toLYnGwwySdwu4kElUuLpv0ziuXrCA7B9gG\noIJWDYa3sGlBPnw+XyAQwLjQjllYWKDf/OjRozt37qQGn8lkBgYGUCWMxWJKi3LArIYmyjT5\nXC7X1NTU1tZG2ippH9oaAJttbW3pdJpYGSjFq4epMYtKwBvcaltb26lTpyDcHT58GOa5x+PJ\n5XLlcjkYDLa1tbmblyRSFEqRaZp33333448/zgvIg/1+P8Mo6DbJ5/Nzc3M7duwYHBxUSnEE\nCU+Vv4vtmgq5mVfjaNjQkmzPreqrlML3yHIHlbZWXKMzAXgEAYjJyclAIEDpDs8KDpNMJm+5\n5RaEs6empqanp8+cOcOv27ZNf25vb+8f/MEfgKLYWvZ6eXlZQl0pKiiluGwgEJC+BQb4lcvl\nPXv29PX1xWKxWCwGLZtNbGodHMw1m81yn6BATGHEe0EcAPBcW1urVCrYDGV827ZlmLVlWaVS\nKRwOM7CNl0mzLQbDgzU13U68mnIRGYCn8Lhkq5JKSmVCYB8hyJiaMrqZa/WN9T8uwQCUTu9o\nYSIqEiTDjZnzKx49wFKUaOSAljOangTQyLa2ttnZWeAT9jY5XCgUQsK+UChQfcQBJ5NJ3jeR\nSJw+fXp2dnZ9fT2RSNBKFI1GEd01TZNbjcfjkMsoRqJKAd0UTxYMBldXVzkxcMwImW7ZsqVU\nKsmEcABVU2u72LYdCARCoVAkEpHx1GA/hmE89thj3//+99vb21E9pckKmg/mA+dFWqKBRglh\nAXUAk0ytCUx6uri4+P3vfx+VKFJkqdO7/16szewUG45wowu1JI54NIdwPMqFsxtaW8hxURl5\njc/n27ZtG2VwDImciZb2tra2bDZLS0ZHRwfjkyKRSKlUGh8fZxDayspKLBb7zGc+Y2g5NIYr\nEb2Ci3KrIigloITSwD3VSqUUOG00Gg2FQvQbGZpcI+Ak35To27IsCub8lDkSPBalkVWs1HSx\n2DmkYMo4jiPJNN+XeyNtxQjdp5h8BFydQMHSQWj+t9YIcaiOLitCEWpra3tZd0xjvaTL0ZMW\n3GCmFKWUq4VGMHnD1d8mBX7BSKSC6NF9CNQ+lFKLi4tKKdHX5gXQAizLIh9CfpM3CgQC8Xhc\nKdXU1HTu3DnKaVC1V1dX+/v7mVCtlIKx4qancZM+n0/qLMJTA00BHaGpo729PZPJWFq1SpwN\nStkCjZw7d04pJcKEJKMXL1585JFHlpeXI5FIuVyemZnhxVJxlOxZ6VE5cIg8WmASdy4dI0Th\nMzMz2WyWsACKqaQNyqVpoDY3W63hCDe0OHapezU3NzPkiAqBxyVX8aKSGxw20qDl5eVUKkVp\n8MCBA5lMhrK8IDmRSGR+fv748eNjY2OO4/T19RWLxVgsdv78+WQyadv2U0895ff7x8bG6DoS\nBJUwU2a1O46DZincHArddGJQ8W5tbbVtm6bGnTt3bt++fcuWLQMDA1u2bEGWIhKJANS0tLQw\nXN7r9VLSD4fD1Oqp3tNfQQaJzTuOs7i4SMtgLpdTmt7JK+Hm2LYN0SYQCCQSCQJtjhhx3m5n\n7NHD5wxdxoeVp7SSiDvwxLZNrRIQiUQGBgZ+67d+6wtf+MJ73vOeV2r/NNb/flla/0iSfrdL\n45AVdJ3o09Ljtyw9+4Wkx9Gzgej/kW4ogUlPnDjh9Xo7Ojp4L6DL1tbWxcVFgEd017xalVQ6\n/bdu3bpz587Dhw/TQZRKpVDYV0pB9aRLnXCQ1ghgm1gsxpFCcEz6hao1lQjMtrm5ef/+/eFw\nWEJGr9fb0tKCpdBe9Y1vfGN8fNzjkk6llBgIBB5//PG3vOUtDz300I4dO/r7+48ePUpkjDYb\nSR5PCT/N/WBcqNWAkcKAwzF7PJ4f/ehHly9fpuxSqVTcWj/uSuFmbmFq1Ag3tABeEGECbAwE\nAqVSyefzLS8vW1phT2lFRP7q7LDZ2dnvfve711577Ve/+tWPf/zjgUAgGo0mk0mAx97eXq6/\nc+fOI0eOnDx5Eg+xc+fOn/3sZ3v37nUcp1gsFovFzs7Oxx57jFHR9913nxz9a2trKysrZKhK\ny6LKJF46H0B4OA7C4bBhGBMTE2x3aGmcL+FwmK1vag1xtHeLxSICE6ZpItUWi8U6OztF1MOr\n532T8oozI32EXIBpFYtFSoMMZSR2xtiAZUQZwJ2hSgSKRS0sLFi601nyRQE/MftIJDI0NHTv\nvff29fUlEgkY3q/M7mmsl2ixgaWpZm1tjTjPoxW8HFc3t+DkIssu+7mpqQkqP5uHCZoCOYTD\n4XQ6jdC2wPIIKyaTyUqlEggE8vl8PB6XMSxIxiAgbNt2W1vbkSNHbrjhBqyG0hoVd9u2s9ls\nV1dXvV5Hkk1KLaFQiNoh+p9Qr/kUkELxu3wcKvFePXEaX2ia5l//9V8nEom9e/eSU3LzZMOx\nWIy488EHH/z+97//oQ996K677jp58qTjOAcPHhQpVKUxTN6R28PSaSHjNfyUZsfJyclqtZpK\npej6yOVyUhZVrsloUovdhGuT+udNuER4QgAZMHr2iu1S0pO0hlDoa1/72tGjRw8cOJBMJtnT\nIl2BWQp8hx+C0pJKpcSlXX/99YST7373uwOBwJkzZ5jAQmFcUE3TNRmYHM5wKagppcjDDMOg\nDpFOpy9cuHD+/PmRkZFz585dvnx5ZGQEQZmVlRW8r8SAtm3n8/lsNjs3N3fu3Lnjx4+fOHFi\nZWUFaySURjjKdMmhYS1KKQFCwVeJTx3HoRO5tbWVNl40NYiRlUsrREAV/gsZz3DRlOSBm6ZJ\nB3F/f/9b3/rW3bt3B4PBarWazWYh+DTWVbokBxJcVBiejksmxriyK4BoSdT4AB4xDUfL+/Fb\nfJNQrF6vX7p0CeumS0paL0h60A0mEaSAR6yJliHl8DNnzszPz/MaSuNEmZQACRxl0hN+nViN\n7mTQJqI6MWRgHssl3UIUy30yxJTX83CEvmBrWh++eWJi4q/+6q+y2SyiwUBTXr1wq6urq6YW\nNJfGTYw9GAxi5hxl4MaUOQkypFLI307Anldi42xoNRzhhhZjZtFDAWAMh8OxWAyMQjiN6r/h\n4A8++OA73/nOv/mbv4lGo6997WsRm0B623EcxHMRpy+Xy5FIZM+ePT/4wQ/K5XJnZ+fAwMDF\nixenpqbW19dJDZ9++ukPf/jDN9xwwwMPPHDx4kX8BML2MGKy2SwZGI5Q+oIlHMOreXSD1Pz8\nPO4N84DnIo45GAzSdBGJRJLJZHt7O6JQ5XL5woUL//Zv/3b//ff/2Z/92cTEBBiOlBMIJzFy\nn89HRsj4GE4cHKFpmul0mhi8ubmZwaQdHR0MMu3s7Ewmk6KsKK5ufX2dnFUmzMlZBrEtHA4n\nk8nXv/71g4ODwF8jIyPj4+NAtY11lS4hNAK843hEWtbUnQng8FT1hE7J4c62JGyiH4Ain8Cq\n/Je3e+GFF7BWR9PfxCNyJ36/n9ugfbCrqwsKqGmalE6ampqOHz9+6dIluJrJZLK7u9vUI1ao\nNVJuREdC7hDnR+EDIAeQ0zRNbqm1tVXpRluQT3orP/KRjwSDQb6GvObornxT9+DKvaXT6Ve/\n+tUvvPBCX19fS0sLo2+AfDHzr33ta6A4jLzgkSKOWqvVmNroaLZtJpN59NFH4Y3TvIEj97ja\nJzazL2xAoxtaFy9epBud/cTe7ejoYK50NpvFVMhj+LpWqz3zzDMf/OAHt2zZksvlHnzwwc99\n7nMej4e0jGI70MfTTz+9f//+ZDJ5//33f/GLX7z99tvPnj176tSparW6sLBw//33l0qlhYWF\ngwcPlkqlRx55pFAo7N2794tf/OLQ0ND999+PGGkgEPBoWU6lp15A+5Z6OA5ybW0NYwYdsvWQ\nbgFGiObcDgbThaRn68k1PJnx8fGPfOQjpmn++q//+gc/+EHMjKGDxWIRq0bLxjRNdKQc3Wa7\nvLzc0tIyPz8vTYfIsyml4vE4gTlHj4yYaGlpQY6Hj2C41GSUUqZpxmKx22+/fWho6NWvfjUj\nrsrlMu4WuLixrtIl/En+6I7W/uV8J86DZmnrzkLTNClP4P9kKKbSfG84IIJ/Cr+U1iYEP+ka\nEnoLgSB6F3Ks44+bmpri8Tj9D4ykQJLm8OHDW7duXV9f7+3tZWMrzeiemZlB3sxxHES9mbKL\nC8EF4m55PVG4uxbg8XhggXFKpFIpgamkdi55s5Qk8eKVSuX3fu/32tvbv/vd7/b391er1dnZ\nWdJZx3G+973vEdyjG+73+y3LgisgbcHEB5we6XT62Wefveaaa1KpFPRypJLF/0lP1CZcjYxw\nQyuXy42NjU1PT9PqjpEgDAjL2dAauBzx5XJ5bm5u7969nL8TExORSETypN7e3mKxOD09LdTT\nSqUyOTkZDodTqdT4+PihQ4cOHTrET9fX1xcXF9FAwv6XlpaSyeS73vWu4eFhAYIMPYqWLgj4\nnG5eHLbKayRIpPKhtCSVxyXPqJSSjiXDNbpB0BhTazMCkjz++ONf/vKXx8bGOJggaiqlMG/+\ny2nC6UNnIXI2xPgS4PNeVDWQFKA3i9okIKqEmXK3fBEOh1/72tfefPPNeEGG0YDnbNpCfWNt\nZEnFgQQIrJIfyVZ0XPOGiEoJp6QKbmqFUkfPoJZ0UCyFL7xe7+LiIntVskYuRU7maNUx6mdY\nATklviESicAAUEpdunSJGBSLY6hFqVRqb28vlUrFYhFEEQDDnT+RYMFfzefzfEeopKZLqn5y\nchKMxHTN35DnJhVQCX/JLzkZvvGNb6TTadu2E4nEpUuX8vn8yZMnh4aG3Ek2lFFLy5PC3CH+\noKhhWdbw8PDo6Ki8LxMW1ZXFws25GhnhhlalUkEpm0nxiUSCvEeoVso1F4aAi7O7Vqv95Cc/\nqVQqH//4x3ED1Wo1Ho/btj0yMoLi0fT09K5du2zbzuVy991338MPP3z27Flq5rfeemskErlw\n4UKlUtm2bdupU6cKhcL27duPHz9+1113TU9PP/zww6997Wu5SdBR/IrIEiKQD8mFUlkkEuHF\n4BuOFqbCRzIUxtLiHRJRopcoSvPS/Et+jLF961vfevjhh++5556//Mu/bGlpSaVS09PTqFXh\npeACEMWjBk4bSbVa5SKw43iARKD0da2vr8/NzSFV3NnZKS2bboJ4V1dXPB5/z3ves3Xr1sXF\nxYWFBaZciSrppo1GG2sjy3EcqmgElIYelSAYg9LAgKPlhDim6StnnwhfxtCELKySFAdIkF+x\nLOvRRx/dv3//7OwsURTux9Fj38EzeRcILFg96hNSkyM/cxzn5MmTsVhsx44dnZ2dfBCcE1Ib\naNCTfZpa9UbomsSUsViMEjufUUTzlVIPPPDAyMgIjG6lIwOM1N194eg2JEcrf+7du7enpycY\nDP74xz8G+3UcZ3R0tKmp6fWvf/3Zs2eXl5eZAclzczQFt1gscsSVSiWlFOM4FhcXjxw5kkql\nduzYgZpxPp8Ph8PuPo1XZvf8T6vhCDe0iDHJBZeWlpiX29/fL7ChABG4B0M3dP/kJz+56667\nZmdnPVpCJRAIFAqFkZGRs2fPptPpdDp9++234358Pt9DDz109913VyoVfrG9vX10dHRgYGBk\nZOT06dMM7czn85/4xCe+853v3HvvvV/5ylcIGKnAgSVKFQQP5zgO6vUQSdbW1sLhsFKKxJF0\njXDP0ZoyUpZwh70cFkr3wjt6tJutJU8x+G9/+9sjIyN//Md/fMMNN4RCIVhznFDAnpT9SqWS\nGJ7IxSmlsDpco1KKcgh6FpxTly9flmq8GHZLS8sb3vCGO++8s7+//8iRI0qXcHK5HGdfIBB4\nxXZPY70US0QkJBOS/ypNSlTaF1pX6soaekKZxHbQTR3dsQqUUtPjaoEQwBJCoRDMcNu2I5GI\n5RISo8rABAkwQ8Yt4ReFLEbRjo9w/PjxRCKxc+dOinlsflATfBv7HGcv1FD5mDhpWw/CxU5L\npdLDDz8cDAa7u7sh2ijdSSVSbYaLQ0Rcq5RKJBK7du3q6emJxWIiQ6p0Y2Vra+vv/u7v/uAH\nPxgeHvZ4PMViEWE5Povf7y8Wi5gVwsWwBCzL+tnPfhYMBqPRKHrchmEAMm9ayqhqQKMbXBIN\nQTAZHR3NZDL5fJ4WXcIuXIXlGglt2/bPf/7zbDa7Y8cOGgdLpVIul1teXk4mk5/4xCcGBwff\n9KY39ff3M1bi6aeffuMb35hIJJ599tn77rsvFostLi6mUqmlpaWtW7cyfmVycnJtbc3n8126\ndOn3f//3d+zY8cQTT0SjUSZioxFDKQWrhmJO3WJ9fT2TyQwPDxPNwXVWSpXL5Wg02tTUhKgu\nGZvSM274aEJJIDYEMiXE4x0FolRKnTlz5gMf+MCJEyfwuMFgMJfLgfzQNWxoCjuRBBqkQtiD\nU1coFFZXV3lccBDgqZ86dUrORG6ppaWlu7v7lltu6e/vP3nyJMkrE0TRoPF4PJVKpVKpvFL7\np7H+94skTLB9j5bSFUDCcAl6Sd5DMiRlaVNPpRY8k6TqRakkfs7n8509ezaZTMIQIU0UUISN\nR4bEcV8qlUDjCR+5AjMZcEg04Eaj0aNHj549e5YNr5QKBoOwY6DJSBMkl3JzRPFDhh6uQnPw\n5z73uc7OzlgshgvkjQQfdnTrkaHV+Xk4gUAAealAICBaE4YWqFJK1ev1VCr1m7/5m/haglFe\nJudeLpejeEEhk6dUKpWOHDly5swZpVXr6NFSm7invuEIN7pgfGCEUD0xGDafmB+BmKnbd5qb\nmycnJ59++mma4hkhLaxOpRRZUb1ev/HGGw8dOgRr2e/3T01NKaUooXGIx2IxpJv6+voeffTR\nPXv2YMM///nPgUPZqWtra/Q84A9gbFerVYQT+S8dvryA0A/GqYSZcmQ4usvYdqnn8IXMl5Bj\nyE0Ms2377/7u77q7u2ErUCCkEMgvSt1CzNV9ihG/84Q5yBzH4SOg+u3ohekmEolwOMx4bqWU\npacq4toF+3pltk5jvRSLTcI57q5OKV26Uy6ZIf5b17NNQAKlliz4HvtEuWZZ8C4AiYYeIk2a\nJfPO3DGfoC8gGeRJNNhxqwSLoLicIUqp3t7eXC63tLQEnQRaJgAMBwJjm5r1aFzxvrypuHPT\nNB9//PHJyUkZLyosGzElPhrtuXRf2LZNAhcOh8GWBYk1dBuJ0thyKBQaHBx059kteoQ4ry8U\nCtQa3bnm8vLyzMwMHCUgZZGC2pyr4Qg3tK655pprr702Ho8THM3MzCwuLkr8WNNTLrGuup5U\nqZS688473/zmN//hH/6hYRjBYLCjoyMWi5XL5e3bt2cymWuuuaa3t/fUqVNCGJuamorFYvfc\nc8/IyEgkEmEe0+DgoGVZJHCBQGBqaurkyZO5XO6Tn/zkk08+WavVHn30UYgkhu6gh2ACcOHz\n+WhLIOfL5XLT09NCcI1GozRvAGtI6MphwY4XBgGJoGma1CCxPaW9Gkv84i9/+cvHH39cKUUb\nRiQS6evrm5mZkf4NDhHbpalGWZ4HC17KqUQRxbIsZBLduCiHzv79+yuVyoULF0ClKNRTksTv\nVioVkaBrrKtxJRKJ9vZ2d3kYWzP1MASlnSWbkH2LSXLcg1vgb2Sv4iMFVpVmQUerz1iWFQgE\nmpqayIfk7bB3xHjlCuxM6JTS0g40SkERR+Xz+a677rpMJnP06FFeaZom43ybm5upvTmOgxgp\n8Cx4KZ+Fuvt3vvOdD3zgA//+7//e2tqK2I1It0hUautxnsKV4/a6uroOHjzY29sLzVvpeiTP\nx9ZyPJjM2972Nj4CFY18Ps+leCwU+xE4xfpEsn9kZAQrbm5unp+fF9PehKvhCDe0UqnU0NAQ\n/RJKKRKsdDrd5BpGiM1ICYG9OD09nU6nZ2ZmaOZDlW3r1q0gNuRt8/Pz8Xg8n897vd5rr732\n+eefp5R45syZ8+fPz87O1mq1/fv3l0qlO++80+v1ApZ2dXVt3779tttuGxgY+OEPf0gwSKOr\noXnVllbohzkSCoUKhYJt20hpUJZfWVlhWxMF81ucMoZuy7W1QrGhR6GK58PS5Ohh4eEcx3ng\ngQc+85nPMMaa4BcpJknmlD68HK0D4NEydYaeXyOBfKFQSKfTIgHFcebz+drb2w8cOLC0tFQo\nFGAMVavVTCbj8/kSiURLSwsA6aaFZRprIysQCPT398O3lDK86aIuu7ld8rV4TYr0juMwUIIK\nt1zcTU6RrUVlAU8JGAhWyYFO8BoOh6PRKBkhLyapos4tUCoZoanHbWJioVBo165dx44dO3bs\nWLFYxJnxW5hPNBrlY7KlPR6PDFNbWVl5+OGH6dPAcbr9mdtgCRc8WnGNgBsoFUqaiG/Yetag\nOFH+jcVib3rTmygoIrLPlU3TRJQxl8tVKpVoNMrnBWcql8sXL148efIkXb+xWGx6eloGsW22\n1XCEG1qmaba1taVSKcyJhocXkbBtPQVGNpDjOHfccQc9QGjYG4YxNTVFSAguTw6EjQGK5nK5\n8+fPU/diyO34+Pjp06exitXVVcgmeNBrrrmmWq0uLy/D3WIjcj/4HuyHadqGYaCNS6wq0jPi\nljgODN1QhUMSupdXq/tDlOWwICMUsEgiAMFkjh49WqvVKOODwZqa821pvQl+Hf/qNmDcOTdM\nIj46OioFf0MTcNrb20kcgYCq1fZp22UAACAASURBVCqVSCHp2Hqaa2NdvYtACoVb4T1K4OWu\n85muIYWCwFtXqrHAQBFaP8txScCz+UUXG4P16FFlhmGgL2NqjeyWlhaYn2xCnGKhUAAyFY1D\nj8fDmN9CoQBzraenx+fzTUxMEImSuUrPj9IQJawcCRCfffZZThtpmZAAVAqolmsep0S3tm2H\nQiHgInynV090EgOUYJSzzrbtoaGha6655uzZs4VCQSlFJK10zKGUqlQqBLgAwkQDTU1NMzMz\nkkHC4n5lds//tBqOcEOLjdjZ2SmbZm1tLR6Po0WkXEp6jp6ZzjYKBoNnzpzZtWsXOgv1er27\nu5tTG8F4j8ezuLjY3Ny8tLQEBnjzzTeHQqFarZZIJHp6epjJCfPF7/dnMpkXXnghFArdcccd\ntNkdP348FArhVrkC4TA3E4/HhbDKjuzo6MCh4svpOBQsyF3nkxOBw0XpWrq4OqWnAchP3VAn\nFpLL5Y4ePer3+xk3A5BCIUG5xsqL0YpHdB9Pi4uLY2Njk5OTc3Nzwn3gZrZt23bNNdcwJ9k0\nzWKxyONCJZnSqbzRK7J5GuslWUwsGhgYAOFn3yo9dMLWbFLTNSRdaWfgBuHFZXJkA4FgNR4t\n1843lWvbVKtV3LChS27sLpQxgCUdxyEexSXwTXhqpmkiQwruCpIEzTIajXZ2dqZSqfn5+XPn\nzi0sLIBzcLZ49Xy0er1O47JS6vLly4888ggTl0jpxFIcrYxh6M5mfgS4Qjbc09PT399PD5hS\ninxRqhVSbRX/WqvV4vH43Xff3d7eDmuB4cC2ngbF5y0UCkw6XFtby+fz6L1ls9mf/exnx44d\ns/Qcq1do+/wPq+EIN7S8egwC2piOVh7Ckwm/WfyHhI0/+tGPXvWqV9Xr9XA4PD8/n8lkgsEg\nPYhkNsvLy5TiOzs7l5eXp6amAFXuvvtuNP06OzvpuKhWq7DX4vF4vV7/3ve+J4W9973vfXTm\nCTtL6gEAibA3FxYWwuHwzMzM8vKyo+XWyBFhmSp9gkiAKR9Q6bmA0qdvunqVJImUr91lmL/4\ni78g1AUjYqi3oTnokkkLossX2L9pmpOTkydOnJiamuIm3fcZi8X2799PXybSxiLtFgwGlVKM\nvGlqatq0mExjbXChnwdZLBwOS8FJjmxxh7KH2bqOS3db3CEX5FdMzb6RuiMbW3a+0rybZDLJ\nNjZNs1QqOVoNWA4HvBfxpVQKxbVgv/TUY0FQuvgOPbKGYSwuLk5OTjL4k2SU38Ui/uM//uOz\nn/1sKBRCAga8xKuF/pUewSFe33GpAfj9/v7+/r179+JBoXTKUDNb03HlQHNcgztaW1vf+c53\nejweKDZVPbKUHhKsj4ORJ1Aul+fn55PJJFMHzp49K1Jwm3A1HOFGl8fjEUl1Q/OvrCvHZLOZ\nlLY3pRTUFfYNertkk47jJBIJwzDOnj0LYNje3u7z+QqFArkmXOTOzk40LEhxQqFQPp8nLJ2e\nnv6v//qvTCbT39+fSqUQThQjdHT/X1tbG+MdGIGUyWQcPbdWabIrli+oiOEioAP/mpoCIyGn\nBKGmps85mvAij0v+XVlZYWaN0pVUeY1z5TJ0T5iwAT0eD4Ko6M7Iu3DMcRxwNShL4vDIv+kA\n4TySFqjGuhoXURECQyQWbrEktqXpkpgR1B13BViHN+WCQg0T3ykepaoHzAoLhutUKhXpMrQ1\nGxmshX5BigVScZSanGEYlCfK5XIikaCpiTKHZVltbW3MtlW6M93v91MRV1qwHh6N4zi//OUv\nYWJLQV1pdFfwKlOr4RiumQ+O44haE7IVYs5i9XwhU2Xc17Ftu6enZ+vWrQBF1ERF8s3SY62o\nyOCDq9UqjU9ra2tHjhxxS7luttVwhL/CwhVhePV6vVQqAXx79LRew1VmYwv29PTs3r27XC4v\nLCzs2LFDOgcoZX3zm99cWlravn27x+OB6okYTWdnJ410KIodOnTIMIxwOHzp0qVYLFYsFmm3\nWF5efuCBB3bs2PHCCy8AdVI5X15e5r806fv9/nQ6PTY2NjIyAsRva5azDDxj67NTBVySPFjQ\nTqWr8crVqvWiQou6cg4AwOzIyAi5II+LpNDUdUfxpnU9UsdxHIFclpaW+Mg1rZLMZVtbW7du\n3erxeOgUFHfe2toqzSocjuTumxaWaayNLGJKv9/f3t7e09OjlALMMHSzvDs8FbAdfAWvhmAh\nu4LYiNTH0WVFoUkrDYo6rkKjUqper7/hDW/AH3s8Hip/Xq8X8RS8Jo3nRHL4MOoajuNUq9W2\ntjZ2JoUJDNCyLDanO9AE88zn80tLSysrK2NjY//6r//6qU99yrIs5mkT2+FlsTXpfPC4BqPy\nQEgHu7u7aWREhYMwUWnjlYSYB84JJrkyn+K+++67/vrrHT1VGLxXstVarbaysuLxeChMGIaR\nyWSi0WhfX9/Jkye//e1vb1rh+4Yj3NAytTqRo8lmjuNks1mkm6wrtTc53NlAyWRybm4ul8t1\nd3fLlHalVL1eP3PmzLvf/e577rknFApRWiBCDIVCTNmlbnH58uVoNPqqV73qyJEjx48f9/l8\n5XL5ne985/DwsG3b+Xw+Fov9xm/8xpEjR3CcjH0BhJS3W19fT6fT0ksE24VND3n1v7Pm3IkX\nnwi+qJRSMAZxY4JtCiIq8JTH4/n85z8PmqSUsvS8Yt7Cc+XQMukgxCzRAXAcB9DJ0YTStra2\nrq6uZDIpPZSO5sGT+blDE3QuPI0+wqt8GYaB5B6THMTtSSAlO0ocpHIV/HByZJZscr5DFgi6\nQz+7oD6SS0nt8KmnnhIQFRF5vA6qtm1tbZFIBGYctFLukJ3PlBVaiTA66KaVSkXuHNeo9HAJ\n5rTMzs5+5StfOXbsGMo1qBCbrsFJEA4kWwVzAtIUNBgFOPgEeF9pN5TWYeVCs3g+OEu+tixr\n27Ztn/zkJ2+77TZDVwepCJIItrW1Iayj9IEAQErM+sgjj3z3u999BfbNBlbDEW5ocXYLiYO9\nUiqVIHrJ0e/VI1EEeISpIcRi5lYrpSYmJvr7+23b5gV4JoJEkpt6vd7V1bW0tIQR9vf3Dw4O\nlkqlcDjs8/kmJydvv/32AwcO3HjjjT/96U8feuih+fn5sbGxcrkcCASy2axXj6X2ak1tyzV6\nDQsERZRzQXBdfIlUAW3diiQIsCSLoEliQgLLKJfqI79y6dIlQ7N1DBe7z9AtDV491tF2jViT\nE0f9t4zT5/MR2Eo1lLxQDgXOQahrJIUv855prJd22bpRBxOLxWLC4XRcLA/xf+7AlE3IjsJj\nsbVM3VxP6iYZoeOqcKsr1aINw9i9ezcG4ugmCsBAzFnaiAFFPR4P0a00OxIiQ1QxDIPJStyV\newSgVNDX1tYQLSPxkhkaYhFuRhs3I3cO9iPgqmA8UqGQM0FAS0Nrzrnt2taqp8FgMBaLfehD\nH1KuBnzSa6gDRBLU5olUmEQBdLxp1Z0ajnCji20RjUZlx5sudQnZE2Qn0hSBLAVAKHsd/8FY\nFmp4CIFOTk5Go1Fe7PV6g8FgoVBobm4Oh8NTU1NoN8RisdnZ2aGhobm5OZ/Pd88992zZsuVL\nX/rSPffcc9999w0MDCilnnjiicuXL7OPPR7P2tra/Pz8ysqK0DVt204mk/Pz847jyFglATkd\n3QilNCJkaElDQyvfS9rHkUGPlNJdgHKCuJNF9AfGx8cdTSiVfnlDa9QpVzQKUFPXw1TlUo6e\nf9bT0wPv3HRNHq7VaoFAABVHIoxEIoF3RALqFdg3jfUSLaHgA+vBmlE6sBOv5rhK2tLaRBgn\n4iykLBLS4SmJQWFpebSmbrOeXO8uDdDRS5TJOwJawJchalS6HI5kDBxXNmE2mxWJJRqrlFK4\nUj6pgEy1Wu1b3/rW17/+9Xq93traSuFDtLY9enSogCsC5IjtiPSE0s3yqKDZWgDE0N26YoCC\nCWP1wrkDd+3r62traxsaGvq3f/u3crkMF880TVq/ODfoG4bsw9eQunt7e6GwbcLVEN3e0MLD\nmaZJMxzGAygH+EAUhqW5+VcQWEAF0fMEVc9ms9VqlcSF0WVbt26F7khCs7Kykkqljh8/3tLS\n0tXVdfjwYaXU7t27Z2dnq9Vqe3v7f/zHf0xPT+fz+UqlMjQ0NDY2FgqFGP/b2tqaTqeBKaCf\n4QVZfr8/Ho8vLi4y1QUbsPWIFj4m1DillECXbh62uDF+hNXBCxCvJm6S52BZ1rlz5wqFAm/n\nuNqZ6SRR+kTzaA1JAgLDMBKJRDabFYdNGppIJKLRqK1VzoWY0NXVhQDe+vo64LBlWZirFD8a\n62pcJEzSOR6NRru7u5eWltx4vngsyf+8rpm0pq5JC5oqICrRknBPQBqAcNwOhssWCoXnnnsu\nkUjglgqFQjabxW/hD9iKBLXQxHhfiDAkTyiXFovFYDBo6z4EKWo4jjMxMfHUU08ZhsEI6yY9\nBdDRDRLU9QXC5egw9JK00nYplPJMTNPE+3r1wCnDpQHC0+ZldT2gA+s7dOgQ6axhGAcOHLjl\nllueffZZ+PN0RtLlKZ93fX0dmXI6LL1eLySJTbgaGeGGFhFcc3NzPB6nCEyheGZmRg59N8iO\n4SmlVlZWbNs+deoUirqmaebz+VOnTjU1NaVSKa/Xm8lkLMuKRCKTk5P5fL61tRXZ6Obm5uHh\nYdM0w+HwT3/601tvvfXUqVOzs7NkdcgjTU5OlkqlBx98EN9JlwVISDgchrWFS8DnKaWampqS\nyWR/f3+5XEb1lC5dpSsoXMrW8vZePTnF0MITpq4aNukRMGCwPCg3+UVgJbzjZz/72UwmYxhG\nd3d3NBqlyO/oBmelq3pC10a1oF6vDw0N3XjjjTt37sSqeetIJNLc3AxhPRKJYO18s1AoFIvF\nlpYW0dnhjURZuLGuxuXoFm9Atqampng83tXVFQwGLZceisRnju4lF9+AewMnNFyC1IZrNAp7\n3rIsmJm2SwvX1B3r6GgXi8XZ2dnp6elisRiLxeDLRCKReDxONQ6wRGlWtmx48B6lE1MJFnlZ\nc3Pz1NTUY489dvjw4dbWVkp6vCOeUsouYmh8HIRpRAFA4gOv7puUPBW/RXWT9NdwTfCou6ZT\nObp9ghAzmUzST+U4TrFY3L179759+6SVwnGJQ7W0tBCvUDyif0l6nzbhajjCDS2PniuGeXi0\nmALygEo3wwmWKFEk/TSiUbu8vDw/P79r1y4sgQIAokr1ep2aczgcXlpa8vv9Z8+e7enpaWtr\nq9VqMGt2796NghFDoCzLWlhYQI+0qamJ3oxQKAQ9hPIAyahsa9M029vbKWxYWthFagBUXCxX\nbzu/ImwgdrlyVU3cPzW1NoepVWYkPFdKXbx4sVQq0fMQiUTC4XBbWxvxsqVlL3h3KDz4QlLq\nRCLBpyP5w//xjl6thgxXjeeJbxaQ1rZtER1trKt3mVo+29BMDWF+KlfvLJvEcZW9xWY9V3b9\ngoLgGiXyM3Qruhi1UgpAUqpxjpZG4l2y2Ww2mwXvYet6df+iUgrfSapE34KlRdSE88xN2rad\ny+UOHz6cyWRwe+LSDBc7QXJcdworn9rQmuNi4Eo3AUtcKAwA01X+lDKE45p3rbRcak9PjzwN\n27ZXVlbC4fC+fftwqGSBuDp5Skop5FL5Y6Fy9bLtll9pNaDRDS1Di/NyTEvYxYYTKMByjczm\n9ciTokjb0tLC1mGL5/P5dDpNNyHaEwMDA/V6PZVKAXHceuutRKbpdPrZZ5+t1+uDg4PXXHPN\no48+Cmqxbdu2s2fPvv/978cIcQCiJY87KZfLtHlgAKZpbt++nTmIdT3txdTUcMMlMGjrwRry\nffF5grGIjfEQhKRX13NqHNewpKWlpWeeeeYtb3lLX1/f0tKS1+tlOgTq2Ghqu4uF5XJZKUUH\nLuQ68NimpqaOjg5QKfqCwYg6Ojocx0HBDgwK6MnUeqShUOjl3zmN9VItU8/LJMOglULpUdhu\nZodysT8A2wXJkAIetix4vuM4QD6GZnJxuMuWxvuK4/G6ZgQahtHS0sLmrNVqS0tLhKHcpFRJ\nBCZpbW2lqZf3BTwsFArPPvtsLpcrlUo0TnAFN2hJnMr9C88T3iZf111j4ATLdWe9HFnUIw0t\nGmBowpqhC6XyEFher3f//v0y5snj8WQymccee8yyrJ6enltvvfWpp57iHvgzhUIhQcUsywIH\nkuD4Zd00G14NR7ihJdFif3//+Pj4uXPnlFLFYrFYLHZ1deEIsRZTS29jfvF4nH72SCRSKpXS\n6XR3dzduhnn3S0tL0Wi0Xq+vrq6Wy2VgkFwux+SEhYWF559/vru7e3R01LKsxcXFvr6+V7/6\n1V6vd2lp6YYbbpiammILJpPJTCYTCATYf2SBDGpHaFsp1dzcvGPHjtXV1ZmZmXQ6zTeJSeXU\ncLRCsanVp2gPAlEhezNNk8ooYSO/BfqBg5T+JCk5kPCdP3/+Yx/7WL1ej0Qi0Wh0bW2NhirL\nssjkyuVypVIplUqINHq9XliylmWNj4/j8AKBQHd3NyTyZDKJH0VqJJfLra6ugpRK7RB/mUgk\nXqnN01gvyXJXvyzLog9B4lEJ3Ui8BJJRuuFVioLsVVtzMuXipkt0V2Jc5ZqtpvSoQnEqkjOx\nzbCjpqYmdIMt3cgYCoVoeezv75fGBpCeqampw4cP2y5VwnA4LFc2dT+7o6kryoXBeHT7Mv2R\nhquDS7kCAjeRzY2aSnYo4SyuV25bIoxEIpFIJIDEHMdZXV09ffo0p4rjOMBUly5dYqoUKo9u\nIgV8GUf3NW3O1XCEG1pkFQgMAqRQWoMAJlgo4IAghBQGBAZZXV1lLB/bEd4pcEGtVuPKlB55\n00KhsLCw0N/fX6lUWlpa/v3f//2jH/3o3NxcuVxeWloaHx9/+9vfrjQKz3tBY6GAoZRiNiH3\nxp7et2/f3NwchB2JoMVC5OyQXJDXUKgXloEYoVgRn91dm5EwnLPD0e2M0Kmr1SqcWK/XG4lE\nuDLtyeVyGU4NH6FYLCJhhSuFjA6yCokAf4k2R7FYxNj4UPyiUkqg1Jd73zTWS7cc3UIqdTuW\nJHl4BeIwN5Fb3KHkc6gvUTIU/IPdxaYFIH1RlVFgf8xf6W2vXHKdknLJzC/TNGWCZqlUSqVS\nxWKRodP5fB7nTXyJm8GnCvTqPkxMPbyCL8gaifbE8KXMgemBVDm6qcmNDHHP7vqIBBlK55S8\nPplMCleA1Hl4eBhxDM6WXbt2+f3+J598EpjX7bYdx4EcWywWJSzehKvhCDe0wP2VRlqUUpT0\nkFEQ0EM8h6UVJQ4ePAhxwzCM5ubmYDBoGEaxWLx48WJPT49pmvS/g/ngAhnJxBepVIpxz319\nfevr63//93/f3t6+ZcuWtbW1j370oz6fb9u2baVSKRKJ5PN5HIPkZOVyGW6q2NLg4GB7e/sL\nL7wwMzODCcleFyfhBkLlxLF0Yx8/lQZ8j57cRm1A4FniUzk45Gq4+VKphDs0TZM2+Ugk0tbW\nhhy+4zjlcvnChQtjY2Nnz54dHh7evn17qVTC4fl8vu7u7sHBwe3bt/v9/vHx8Ugk4vP58vn8\n/Pw8D03qQI6ej0HO3XCEV/WS8AvsHVawBGe2fYU6PKuuJTSVjs+a9JBYAAPBVKnqSapna6FO\n8i2lsVahlSmdXEpAKSPvxXy4B8vVv5vL5ZAcE+vw6n7cJj1KUJogLa2P445ZxY3ZeqCEo4U+\ncJ/uzgpD1wJN3QTl0f1R/Ev2LBYqADIf0NJDBynWcM1MJjM7Ozs2NsYsDoKPYDA4ODiolPrp\nT38qnRssOTEY57tpfWHDEW5oVSqV4eFhqt/8RWu1WrFYNAwDTyP7Xv7S7C2qd/TOB4NBFF46\nOjr27NnDLPWBgQE2H52C4Hvt7e3Nzc3nzp3r7OzMZrOvec1rDMNg1hIo6OnTp8+dO3fbbbfl\n8/muri5Y2krzU4rFYi6XKxQKWB3x7913393X13fixInR0dGaHnhtXznSCEuQlixDK5HKj4gD\n2OIcCh4tTEy3g23bwhTwaklG06XL8+1vf/sNb3gDjGpTtx8ZhsFI7tbW1nA43N7enkgk/vM/\n//PChQtkzPl8nm6TYDB47bXXDg4OQrh1HCcWi/HQeIZ+v5/C6uLi4vr6Om2Fcqa8AlunsV6i\nJVwYyWBsLdfOIQ616kVkLsp+UnvmBW53Iv5DuZrxCVtrtRoDcpWmQLsLfqJbxG1AxZIEVNyM\nJFjsT1vTeSSsfBGOYrrGmkqcijeVtn0BnyhbKN04L77c1v0YHq34KBfHnfPuHte0UTfk69HD\nOsLh8I4dO/CC+LPLly8fOXIEhppHi/Lj54aGhlZXVy9cuLCwsOBovQLOBLrsvd7N624aMfKG\n1sLCAnNfOXylxk7vvCCEAtDjNuiWRT8Jugcam5bWqaHShl4MgKFhGIx3KRQKW7duLRQKiMs0\nNTXt378/GAzm8/np6ent27efO3cOfAbwU+6BN4ImAwRqWVYgEOjq6jIMY3FxkXdRGr0UUNRt\nCRI1u21D6VqpqbWd3C+Q70hY4HH13csrL1++7NWKVrQtskqlEkwBhrygJCcCUYVCAXQ6Eokc\nPHgQb4fDq9VqSHL7fD4Sbj6XNBeapgmO3XCEV/UydAMPvko0KwT5hIPmaIkG5WJ/iAoEftGr\nRV6IwKRl1tKtUKZLTFF8qrhPr17yXoAi0rDPrhM3Q6oqdEpJwgRMUroYIT6eNFGWXM1xTfr0\n6OHDgvrI5/LosRvGlb257hqnOzx1dHOIctVEHcfp7OyEhW5oIYILFy5kMhlAUUl/Hd1lsXfv\n3gMHDoDTVqtV5AWEgCOSW5twbdLb2mxL4s2VlRWaZ0E16duTvy77TOB4j8dTqVQ6OjqKxSIs\nR7oJ3ZkWOMb6+jpZHRkn7a7Ly8s9PT24z0wm09XVdddddx07dmxsbKxQKLz97W9nNgr1RURq\nEGlbWlriV5gdGg6H3/e+942Pj1+4cOHSpUuCuijXppe6gqNV/IUi2+SarO1OfKWmgknAhQN6\nkivIOcUntSxrZmYGTp04aczY6/Xm83npKS6Xy8lkMp1OF4vFy5cv1+v1aDR64403/tqv/dq2\nbdscx1lZWUFuY2FhIZvNtra2dnV18btUX5hpzP0Qc0jZprGuxvWiWp1yyclKjdCNVQrFUbIl\npbUScXWClruBdI9rhIVHC/CauqImZTylW2YFSJTaWJMeVa1cRT73NS09ONf9Hfkm3kua5ZXu\n/JNfxI7w8eJjgGEIDWlXMLV6gNLWKsGB0gcav0Ip0XGxbbnt5ubmnp4e2qY5JUZHR0dGRujf\n9Xq9uEPLpUSK6IxlWT/+8Y8Nw8jlcryLzONtOMKre3GkzszMSMc6MSaZhwSGhu5MkgAKZzYw\nMMD0MqkbM8UC7Qml1Pj4OOnOCy+8EIvF6Fb8xS9+cenSpcHBwebm5kqlcvbs2XA4nE6n77vv\nvrm5OUfrXBCKMtUll8stLi4Wi8WlpSXTNFOp1Fvf+lafz3f06NHz58/TkKBcR4Z8QIlexSoM\nXUioaT1+pTM/AE+vS6RDflG4A3IiKH2E8XW9Xl9aWgqHw4znlneBO+rxeJDXEe4fNflkMnnT\nTTfdeeedwWCwVqstLCw0NzeHQqG5ubnFxUXTNCORiEcPpQMUbWlpoamZ5msGXb1c+6WxXvol\naLyh+Vn4AyJL09Uhp/RMUFML9bGHpRXHdDXIKq2iIriF292KjUgToeHqBJCslF+EgKN0K5Gk\nX7LJ3Z5V6bgZtNbUYmZup+W+gqmJMILfUBc0DEN0lyD00dwF5CuWK2in3I8QggyXvLhUQCzL\n2rNnD40cUrL5yU9+wn8ty4LcZ+r6KNRQ/hzXX3+9Uur06dNra2v0TvAjsK6Xccv8CqsBjW5o\nERYRcAUCAa9LbwXSh7u0ZmpyiuM4YJ4yuNIdmQLZ0fBA8zjgyeXLl03TBFDt6uqqVqsnTpxo\na2u77rrrwuHw3Nzc6dOnDx48iLI278UuhHVCZ15TU1NnZ+eb3vQmx3EuXrw4OjrK6HbjylkZ\nAiS6yeIYp8Ajlm7G5/WcI8aVaKobETX0DAqPazyT0meKYRhzc3MCLpENW7qDsFqtZrPZXC7H\nqDMuHo1Gt23bdsMNN7S2thJGcKtIW1GeYUYdabrUKYkPOMKkz6mxrt4lCZbsRkcTWMRFCUrB\nN+myQGNTqlbK1YzBlQ1XCVmyJcPVacCPTD2riCWIn3gv2Cu21riXYoH4IQkxlW5AxBC4GVsz\n10wX1dPtopRmiSulvK6efbk9ckGBLuXd1ZXFP0trObkPK3GKfJ+jiResra3lcjnAMKWUiDSZ\nuiufGr941t27d+/fv7+7u9sNVuOe///dIv+3q5ERbmgFg8G+vj6G62az2UAgwIQ8rEIskEHY\n4h6q1eq2bdu6urrIlnB4gJmmaUajURye4ziJRKJSqQDHz8zMZLPZG2+8sa+vb2Rk5NWvfrVS\n6jvf+c5b3vKWdDo9MDDw+OOP33777Rg5vjmXyyEzXa1Wd+/eTSmxUCg8/fTTuVyuVqtJW57j\nUooR9yNVBNieSttYXU9x4/V0SknBAI6ooSsucjoorSAsp5KhZaswsEcffXTPnj00lvAyobND\nKyfe7OrqKhaLiUTirW99a0dHB/yaQqEAhry8vJzL5dLpdE9PDzwjcNF0Os2UVKUUDxlcNB6P\nb+Y2psbayHLjikoXF/hCMHnHJSomOL+wtwAqLFcTghiC6ZqvKS7QXfVQul9Q6YKlJIJe3b9o\na4UmuUm2Jc6gpaVFCNWS9gnfpK6FuTE05WrPcH80N4ZpaNUbRrbVtc6nrdUQpfAh+I0UNeQi\njksNSh4FAtl8bVnWxMTEc889R3dgXc8mlI/Gx4S5AxAdDAZvuOEG0zTHx8eR/EWlsr5Z9X4b\njnBDC4pwZ2fn8vIyOX6TnljLFGnZoMpFv7Ztu6+vr6enp1QqkRQ2NzdzBViOtm2D9dXr9Y6O\nDtu219fXl5aW0NdHfiUSKpH4NgAADUFJREFUiXR2dnZ0dBQKhYGBgfHx8Xvvvfd73/vem9/8\nZnokPB4PyC0NGMvLywsLCyCx1NjEctxuGz+KJ5M6isAv4gV5DS6t7lKyV9pyJBuGQkZWJ4RS\nIYWLSr1lWfPz888999zNN99s2/bq6qpIYwCQIrJTrVY7Ojri8TgDd4iCFxcXvV5vKBRaX1+n\ndz6VSiWTSZ5AqVRaXFzkg5PjomPn8XhQ3Jfwv7GuxmW4+JBK1+AJRoEBpVII4dPR2qSczkop\nQiK3JxNOv3gaCQqVrh2CKLhRUzLLJpfKPG6G7wviyne8WgLQMAwCZYnSDBdtR3CXFxURbc2v\nEWqMpMJAJgQBlMBR2xH1QaWBVkk3hX3q1mNzU0/5d8eOHclkUjSqCKnn5uaoDgrGW3PNAVZ6\nTjKfgg++f/9+wzCefPJJCK6bdgaTakCjG1yWZSFZEovFEomE4ziFQiGdTs/PzzNf0HH1n8p+\nQpRoYmLCPe1ICmlra2snTpyo1WptbW0LCwvt7e2O47S2tt5xxx2gEAcPHrQs67HHHrvpppv6\n+vqeeuop9B1GR0f37Nkj/QYUGguFwvT09NTU1NjY2NjY2Pz8/Pz8PNkVy52qYqIvKvILDMJZ\nYGpKmNLAEUdGXeuRkh1artmBPIRmPThbMB/vlUrctm0fPny4ra3NcHVEOY5TLBZLpZIoryql\nUCJlesbs7Czlw2q1SvDR29vb2dnJJyICAFNVStF0H4/HuQIDURsZ4VW9OM2lssWOMnQxHo9o\n6g4fr2uapghV1+t1RgXhxpTGBg0tv2LqNgzxtexqU5NoJNMy9HBNpcksQuNk4Wm8rpma7vKY\nqXuWpNwgYSLcLvNK2RelVLVanZ2dFXsUVJNMC6sJBoPC65bo1m22SinHcdxMHIFJlebK+Xy+\nZDKJzLdSCqHjhYUFr9crIjWGq7YizxlmAG+Emv/q6urQ0NBv/uZvDg4O1ut16UXZhKvhCDe0\ngDVaW1uZQE0TIZwUQRvUlcxjpdSePXtaWlri8TgQKNuImiKhXCgUmpiYqNVqOEumsbe0tHR3\ndx87dowkcn19nf6K7du327a9e/fu3t5ev99f14MaEHZyHGdxcTGTyZACYsxyJ3whx4GUH+Qo\ncad3UoARNp1U1xw9s1CgJK9WK+YFYlRuxFjwFk4cx3Gy2Sz/FXUPOQWIQ3G9MneeAif3ViwW\n19bW/H4/Rkveuba2trKyUiwWs9ksgjVUhgwtooFA/su7axrrpVyOplOKh5CcxtKTtgQLNXVV\nj3THXf9j1fVII0uP5BWIz+MShja07oyka0rv7WAwKAallALGMHUbg9xA3aXkIIUJoZhJk67S\nfpfryKki+I1hGN3d3aaLMgN8Soue4zjwRU2tx2275ozyjvKIbC2477hmLYmLImqUh7O6ujox\nMSFhrlQ9lE43RdpGIl2JFXhNLBbbuXMnWhkNR3h1L/YWuJzX62XMLK5obGxMYkZDS80SNE1O\nTo6NjaG8ToSF2BIBbLVaPXDgAANyV1ZWiCjT6fT/0979vFZx9XEcv85NaAxprEk0xsYKSkGN\nG0E3grh2IRT6R/ZvqItu+g90KQU1RVAaIeBVoyE/bhdfznnGZ1Xow1Ph83otRPLjmsjMfc/M\nOXNmGIatra1ff/11Mpk8ePBgNps9f/58d3d3Op3+8ssvq6ur33333e7u7s8///zu3bu6gvHx\n48enT5++ffu2RgQX2o3t/ZjuTJtN11cN7XOs+wjByeeP5+0XdiZt9lo/sD1ua/uetmk107bK\nxpk2IN/H/4e2YNV09FzsGhmt3fWrr76qs8N5m6Tar5ROJpN37969fv16f3+/3t1qNs3KykoN\nMdaF0IODg1evXr1582Y2m62uri4vL587d+7bb7/d2NioNX2Oj493d3f//PPPf28L4p8aj6iN\nr3DU5ldnhPPRlJlagL6nsV6kzy+rOtahWIWhb7Fn2oSRaXuYWm1C/X18OlqZrEf3pK15Nm8j\nEX0/qqu1fTClfqr+7f1banChp7ef+9bJX98TJ+1YthJYVldX6wlxfb+ulPYvqMs/tefO27Iy\n89HwXh9MvXr1ah2MDsMwm82ePXv2+++/Ly4u1jLIfc5O//r+dtePvE/awnXDMNRVnO3t7R9/\n/PH69etf7BNgjBH+LdO2lljtXUObiFWj3PM2rjb+cxiGW7duXb58+cOHDxsbG/v7+7Xudm0i\ntYTm4eHh3bt3//jjj52dndlsVsMJW1tbu7u7jx49evLkyf3799+8ebO2tlYPGDp37tzm5uYw\nDC9evLh+/fpPP/30+PHjmtBVl0eOj4/rlsR+hDsZzfyejO6In7d7YHsIl5aWqp3jEfWTk5P6\n+Gl7cm+//rPQnup51B5n34/Ta8ym30kytKllZ0YzdH777berV6/WsUVNka0x//fv3/c15+bz\neT3num47qTeR7e3thYWFWjSndrP9/f29vb2+BtuVK1dqPe5+/P7y5cuXL1+urKz8W9sP/1yP\nwbxNE5uMZnvW2/FJe7TC8Pns0BonrtHBmrvRC3dmtL7ScVtEYqE9XKKPdp+OJnz2m/mGds9D\n37YrTtN2x+HQJqPVJcqF9uzfflBYr7C0tFSfXVxc/PDhQ39uYr1OXe3vfa1dr64DTdtyj0O7\nzb8Paszn81q+cdqWVeu/bP2oNe2lh7x+nlqwcNKG/fb29p4+fdr/D0/b2uJ1nbMfHJyO5taO\nX23e1hk4PDy8cePGw4cP6yGFXyAh/FvqjbiO17755psffvih5rxMp9Nr167VrRH7+/t18W3e\npmndvHlzbW2tTiKPjo7Onz9/eHhYl/VWV1drY6pt+t69e9Pp9NKlS3UF9fbt20dHR7V2zJ07\ndy5cuHBwcPD999/XePXy8vKNGzdqPupsNtvY2FhZWfn06dOlS5dqf+u3N9VuPJ7PVqdck9F9\ntadtClm/qHs6mlBXv37/e78KNL7oetxWa+uT8fo4QT+P7J89aZPdt7e3t7a2Kpl9ALLOaMdD\nOAcHBzUDfm1trT/YbDKZ1Llgveutr6+fP3++vrHOmOsUfGFhoU/KXVlZuXDhwv9/y+F/ZX19\nvf4yfvOdjJ6iVwd5fSS4xqguXry4vb1diRpHor6m7wWL7YFEfQBs/vlCLX048LTdNXE6uveg\nnwz917zWvjedtrXZ5u32qnqF/pGTNnm75oX1g+mhLUwx/t2HdhfHZDKp0bjl5eWlpaU+U2ba\nbnEeD1v0l+3/9Mno+VD1qbNnz9Yl3/oVNjc3d3Z21tfX6xh9aJPm6v/5+PO1GM+MJrIObf3S\nPitnc3Pz66+//mJvn/jPNgEAgYwRAhBNCAGIJoQARBNCAKIJIQDRhBCAaEIIQDQhBCCaEAIQ\nTQgBiCaEAEQTQgCiCSEA0YQQgGhCCEA0IQQgmhACEE0IAYgmhABEE0IAogkhANGEEIBoQghA\nNCEEIJoQAhBNCAGIJoQARBNCAKIJIQDRhBCAaEIIQDQhBCCaEAIQTQgBiCaEAEQTQgCiCSEA\n0YQQgGhCCEA0IQQgmhACEE0IAYgmhABEE0IAogkhANGEEIBoQghANCEEIJoQAhBNCAGIJoQA\nRBNCAKIJIQDRhBCAaEIIQDQhBCCaEAIQTQgBiCaEAEQTQgCiCSEA0YQQgGhCCEA0IQQgmhAC\nEE0IAYgmhABEE0IAogkhANGEEIBoQghANCEEIJoQAhBNCAGIJoQARBNCAKIJIQDRhBCAaEII\nQDQhBCCaEAIQTQgBiCaEAEQTQgCiCSEA0YQQgGhCCEA0IQQgmhACEE0IAYgmhABEE0IAogkh\nANGEEIBoQghANCEEIJoQAhBNCAGIJoQARBNCAKIJIQDRhBCAaEIIQDQhBCCaEAIQTQgBiCaE\nAEQTQgCiCSEA0YQQgGhCCEA0IQQgmhACEE0IAYgmhABEE0IAogkhANGEEIBoQghANCEEIJoQ\nAhBNCAGIJoQARBNCAKIJIQDRhBCAaEIIQDQhBCCaEAIQTQgBiCaEAEQTQgCiCSEA0YQQgGhC\nCEA0IQQgmhACEE0IAYgmhABEE0IAogkhANGEEIBoQghANCEEIJoQAhBNCAGIJoQARBNCAKIJ\nIQDRhBCAaEIIQDQhBCCaEAIQTQgBiCaEAEQTQgCiCSEA0YQQgGhCCEA0IQQgmhACEE0IAYgm\nhABEE0IAogkhANGEEIBoQghANCEEIJoQAhBNCAGIJoQARBNCAKIJIQDRhBCAaEIIQDQhBCCa\nEAIQTQgBiCaEAEQTQgCiCSEA0YQQgGhCCEA0IQQgmhACEE0IAYgmhABEE0IAogkhANGEEIBo\nQghANCEEIJoQAhBNCAGIJoQARBNCAKIJIQDRhBCAaEIIQDQhBCCaEAIQTQgBiCaEAEQTQgCi\nCSEA0YQQgGhCCEA0IQQgmhACEE0IAYgmhABEE0IAogkhANGEEIBoQghANCEEIJoQAhBNCAGI\nJoQARBNCAKIJIQDRhBCAaEIIQDQhBCCaEAIQTQgBiCaEAEQTQgCiCSEA0YQQgGhCCEA0IQQg\nmhACEE0IAYgmhABE+wuJ4qglvdSn9wAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “Flipped”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=5)\n", "imageplot(-M, '-M', c(1,2,1))\n", "imageplot(M[nrow(M):1,], 'Flipped', c(1,2,2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Blurring is achieved by computing a convolution with a kernel. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the low pass Gaussian kernel. Warning, the indexes needs to be modulo $n$ in order to use FFTs." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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GlCCECaEAKQJoQApAkhAGlCCECaEAKQ\nJoQApAkhAGlCCECaEAKQJoQApAkhAGlCCECaEAKQJoQApAkhAGlCCECaEAKQJoQApAkhAGlC\nCECaEAKQJoQApAkhAGlCCECaEAKQJoQApAkhAGlCCECaEAKQJoQApAkhAGlCCECaEAKQJoQA\npAkhAGlCCECaEAKQJoQApAkhAGlCCECaEAKQJoQApP0Hia4+Iyivpw4AAAAASUVORK5CYII=", "text/plain": [ "Plot with title “”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma = 5.\n", "t = c(0:((n/2)), -(n/2):-2)\n", "mesh = meshgrid(t)\n", "X = mesh$X\n", "Y = mesh$Y\n", "h = exp( -(X**2 + Y**2)/(2.0 * sigma**2) )\n", "h = h/sum(h)\n", "imageplot(fftshift(h))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the periodic convolution ussing FFTs" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Mh = Re(fft(fft(M[,]) * fft(h), inverse=TRUE) / n)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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CyEDMMwjKdhIWQYhmE8DQshwzAM42lY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GKIHgnMMLrNVqTBQIOp3OWq2WSCRAnUU/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"text/plain": [ "Plot with title “Blurred”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(M, 'Image', c(1, 2, 1))\n", "imageplot(Mh, 'Blurred', c(1, 2, 2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Several differential and convolution operators are implemented." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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hLPlA53OGpQz8PhMJfL4b/5fH5tbQ31O4VCIR6Pb25uLi8vSwjXvXb0sM3DnIY8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\np9MpFovS3k/sTtij8j1mVFspVa/XH3/8cSRLS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WRXyUH1PA8eoQ9mqZD/IxDSxt0C2haPxyuVivS8NW9U4i1st9uTk5MYRoize3R09Ny5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\nycceeyyXy8HFoYxGhZ7OfzGvd7ABJeppGzNu8MpFtKQqQxm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fQyEkzeZnLAAABQJJREFUhBDiayiEhBBCfA2FkBBCiK+hEBJCCPE1FEJC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\nQyEkhBDia/4fwloJdgIqKk4AAAAASUVORK5CYII=", "text/plain": [ "Plot with title “d/ dy”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = grad(M[,])\n", "imageplot(G[,,1], 'd/ dx', c(1, 2, 1))\n", "imageplot(G[,,2], 'd/ dy', c(1, 2, 2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Fourier Transform" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The 2D Fourier transform can be used to perform low pass approximation\n", "and interpolation (by zero padding).\n", "\n", "Compute and display the Fourier transform (display over a log scale).\n", "The function fftshift is useful to put the 0 low frequency in the\n", "middle. After fftshift, the zero frequency is located at position\n", "$(n/2+1,n/2+1)$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ZbL5eAC5d4RBGv6+/sbjQaWLEEQuE9oYGAAtvWhQ4c6nU673TaZTNDXvr6+dDp9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\nATMSpIkYXRgaGkokEqlUCtmjx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EQggh\nnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxG\nQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIo\nhBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQ\nwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJp\nJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSE\nQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEII\nIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGc\nRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZC\nKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiE\nEMJpJIRCCCGcRkIohBDCaSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDC\naSSEQgghnEZCKIQQwmkkhEIIIZxGQiiEEMJpJIRCCCGcRkIohBDCaSSEQgghnOb/AXBiJwaM\ncbv4AAAAAElFTkSuQmCC", "text/plain": [ "Plot with title “Fourier transform”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Mf = fft(M[,])\n", "Lf = fftshift(log(abs(Mf) + 1e-1))\n", "imageplot(M, 'Image', c(1, 2, 1))\n", "imageplot(Lf, 'Fourier transform', c(1, 2, 2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 1:** To avoid boundary artifacts and estimate really the frequency content of\n", "the image (and not of the artifacts!), one needs to multiply M by a\n", "smooth windowing function h and compute fft2(M*h). Use a sine\n", "windowing function. Can you interpret the resulting filter ?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ubzeZvNNjc3t7q6KghCu92Ox+M2mw3ptV6vt1AoFAqFS3oGbQcJ4evHDjVgh8px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7/f5+vy+dGllms7lSqUjLNCigqVSKIzvO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\ndk+JE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"text/plain": [ "Plot with title “Fourier transform”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/introduction_3_image/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 2:** Perform low pass filtering by removing the high frequencies of the\n", "spectrum. What do you oberve ?" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ubzeZvNNjc3t7q6KghCu92Ox+M2mw3ptV6vt1AoFAqFS3oGbQcJ4evHDjVgh8px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7/f5+vy+dGllms7lSqUjLNCigqVSKIzvO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\ndk+JE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"text/plain": [ "Plot with title “Fourier transform”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/introduction_3_image/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "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 }