{ "cells": [ { "cell_type": "code", "execution_count": 131, "id": "f0c13b0c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pylab import *\n", "from scipy.ndimage import filters" ] }, { "cell_type": "markdown", "id": "800e90a3", "metadata": {}, "source": [ "# Bitwise Encoding" ] }, { "cell_type": "markdown", "id": "3d0386be", "metadata": {}, "source": [ "When we modulate a digital signal, we first need to turn it into a string of ones and zeros. This can be a very complicated process in general, using compression, checksums, and error correction.\n", "\n", "Here, we just convert text strings into a bit stream." ] }, { "cell_type": "code", "execution_count": 132, "id": "3e8e0abb", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def encode(s):\n", " result = zeros(len(s)*8)\n", " for i in range(len(s)):\n", " c = ord(s[i])+512 # add a sync bit\n", " for j in range(8):\n", " result[i*8+j] = (c&(1<<(7-j))>0)\n", " return result\n", "\n", "def decode(m):\n", " result = \"\"\n", " for i in range(0,len(m)-7,8):\n", " c = 0\n", " for j in range(8):\n", " if m[i+j]: c += (1<<(7-j))\n", " result += chr(c&0xff)\n", " return result" ] }, { "cell_type": "markdown", "id": "93f62adf", "metadata": {}, "source": [ "Let's try encoding a simple message as a bitstream, and then decoding it again." ] }, { "cell_type": "code", "execution_count": 133, "id": "7ebc83e7", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The quick brown fox jumped over the lazy dogs.\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 133, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAD9CAYAAAC2l2x5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztXX1wV9WZfhLyCyK69Rs1iUVNJCAF7GCp7bSTShmE0diK\n3Y1/WIdSmsGy1q7udrcznUJ3S6G7/XBLZxZrtYot0O10B9vB2FKbtlYBKyodoRotWUNEZlBZPxCT\n/HL3j3iSm5vz8Z6P+32eGSYk99z3fe855z6/97z3uedXEwRBAA8PDw+PwqE27QA8PDw8POKBJ3gP\nDw+PgsITvIeHh0dB4Qnew8PDo6DwBO/h4eFRUHiC9/Dw8CgolAT/mc98BtOmTcP73vc+YZtbbrkF\nLS0tmDt3Lp588kmnAXp4eHh4mEFJ8MuXL0dXV5fw+I4dO/D888+jp6cHd955J1atWuU0QA8PDw8P\nMygJ/iMf+QhOP/104fEHHngAN910EwBgwYIFOHbsGI4cOeIuQg8PDw8PI1jX4Pv7+9HU1DT6e2Nj\nIw4dOmRr1sPDw8PDEnUujER3O6ipqZnQhvc3Dw8PDw81THeUsc7gGxoa0NfXN/r7oUOH0NDQwG0b\nBAEeeSTA7NkBgmDiv3/6pwBf/jL/WGtrgF27+MdE//7jPwL8wz+M/P/NNwOcfDK/3X/9V4CODj3b\n0X+f+lSAbdtG/v+b3wS48kpx269+9asIggAPPRTgAx/gt1m9OsC//Zva75e+FOBf/sUudtG/w4cD\nnHsu/9iWLQH+7u/07FWrAYAAb7wxsS/+538CXHst/7xbbw3w7W/zj511VoDnn5/490cfDTBrFv+c\nf/7nAOvWjfy/tzfAe9/Lb/ev/xrg7/9efV3f/naA5cv5xz72sQAPPzzy/61bA/zt36rnBa/PhodH\nfv/c5wJs2sQ/f8qUAG+9NfL/L34xwLe+xW939tkBenom/v2xxwJ88INjv8+ZE+Cpp9TXf+mlAf74\nR7dzj/XFD34Q4LOfHft7bW2AoSE9Wx0dI/e4qt2KFSP+eMeamwM895zaxoUXBnjySXW72bMD7Ns3\n8v+NGwN8/vPitjawJvj29nbcd999AIBdu3bhtNNOw7Rp04Tth4ZG/rk8JvNV9+4apa7OrW1TX1S/\n1JhcxC6zXSdY41GvMWov/NOFL9H1q/rW5bxw4UuEanXkPLYAVsVrc13RMXAxj21hGlPUBvU6bOe7\niS+Ta6JCWaK54YYb8Lvf/Q5Hjx5FU1MT1q5di8HBQQBAZ2cnli5dih07dqC5uRlTp07FPffcI7Wn\nuhlMzpOdM2nSyP8nTYqf4Cm+qH51JkptTG8zhK8pCuo1Ru2Ff7rwZUrwLueFC18y2+F+UcVrc106\nvij2XEAU0+TJejao12E73018mcwLKpQEv2XLFqWRjRs3kh0mTfDsU3LSJGB4eORflBCTzuDb2tqU\nfrNC8HFn8OG+KHsGz/pCdL7MxvAwEARjcyHvGbxoXvgMXg9OHrLqIGmCr1RG/l9TM0Ly1aoneCo8\nweeH4Fk7ainHEzy/XdEIPvGtCkxJzTaDB+Q3R5IET/HrglxskQTB2/oqEsGrzpfZ0CHCPBC8bUxR\nG2Ul+MQz+Gp15J/omEhNKTtP5is6OXg2TGzLfIn86PilxlStjizN40C0/8KgXmPUXvinra/hYbk9\nWd9SxkpnDGx9yWxT5zClHSvl2NjgnWd7/8hsm8QUtUG9Dtv5buLL5JqoKHyJpgwZfJ5LNDa+VPZ8\nBj+xHSMSn8GrfYWR1wzel2gMbct8+RKN2F74p60vFwTPFAy8VVARCV5nDDzB6/v1BJ8wwVNkX64I\nPi2ZZJw3V5ZlkjYEz3zV1IysgFi5h2rDxFecMkmdduGfJjZ45yU1B037kHodNvOdqfR0faUqk3QN\n1c1gcp7snDJk8L5Ewz9GyarD9qM3t8/gs0HwecngZeUvma/SZ/DswZAnePN2Jsg7wYseQLueF57g\nPcGz88M/qb4KRfDspuMtiUVPoGXqC5WvMqhoklIwhJEFFY3KHiCeZy7nRZ5UNDpjQIlXpmRygTyp\naKg8xXsprVAqGkD8wpHsHJ/B89v5Eo38GK/04jN4cxtUey5QxAxeZ38hW6RSogn/jB7TnZQqX3kg\n+LgUHLYoCsGrfHmC17NBtecCRSR4F9dERWoZvGzy6Zyj8pV1FQ0wsmSzecBX1s3GbAje5bxQEXyR\nVTRJEHxeVDQ6BG97TVQUnuCznsGzn1kleJ/B82OitvMZvB18Bm8HX6KR+DX1pZvBx0UutvAEbzcG\nbEsA9uHtCV4fnuDtkHgGL3vSLLrIuFU0Q0NuVTS1tWMvz8iya1VfFHUvGt44m/hidkyOUW4wWxUN\nI/fwwzQXc5jSf6Z9pqtYMb03qSiiioY6pi6QqQxeNBBxZ/DVqtsMXuYrek74p0lMeczgKeRC8aX6\nwJAdo5KhzRi4uJGppKsz11l7F/H6DH78+eGfVD8mH1pUZIrgi1KikfmKnhP+aRJTHgm+LCUaV+Tk\nSzR6MfFsZJ3gC1OiodyUOueofKWhopH5ip4T/mkS09CQV9HYEllcKhqTOWFqQ6dd+KfMRlYIXjcm\nng3qOHoVjSWSJvgkMni2jUJaGbxX0egfo5BG2TP4SZOAd95Rxyey5wLUD2OVjbJm8L5E8247m4eV\nw8NjuxKqfEX9hn9Gj9mQiwvIJjz7jludPssSwadRoqmtFW/TIbPtSzR6MYXBlEye4BMCuxCdh1o6\nu7RFz9NRFujceDI/zJcqXhcqmrQIPvwdtzr2wj/DyKqKhtK3MnFA2E9Njf4DNZ1Y41DRUOdwVgme\n3dPUcbRR0VAJvtAqGtVTfN1JKYPOzSGKycQP82UzIWzJxQVkEx7Qn5iqD7QsqmhsPmRNP/hNY41D\nRUOdw1mVSerEZ5vBU2WSvLHyKhrBOSpftstWEz8yX1S/WS/RAPpkVeQSDa/0YjovTGP1JRr++eGf\nIkRfSovCl2iISJrgbZUFJn5kvqh+s0LwogkP6D/wUl1vnlU0PF+m80Jmw6to4iF4trsteyktiryq\naApP8HnM4JkqJwsEX9QM3rWKhucr7xl8VjYbs1HRmGbVUcSZwbNnWXG8ke4J3sK+yI/MF8WvzoMh\nT/D2RCazT1G9FJXgs5LBJ1GiSZPgTQQLVHgVjSImEz/MF2VZyPOrE0/aBF90FY0oXl473jiaPHw3\njdWraCZCZwxt5zqV4F08fKdCcknxQNThLFPyKhp6POzBUBqbjQHlUNGI4uW1442jV9HYISkVjYsM\n3lRFw+wXJoPndRZ7gs0jLNE5VF8MquVtGiUaXjtqPGy3yuFhcw0/JT4RTMsNLks0usdYP1FeSqOO\ng2ocKdeisk2NldrOZYkmThWIixKNznWI4LIvXMwLKlIh+MmTxTdDbS1/qcs7h+KLqiwwsS/yI/NF\n8UuNh/VZXPU73nWFYfLAS3RdMl8m46aaZ7b2qb6yqKKhjgGVrGzuHRVMYoqeTx1D27lu46s0BC/K\nhEwJnprV2BK8aQbvguDjmhxxZPAycjHJ4E0InnJzMSWTLcFnMYOnjoFLUjOFSUzR83XuJRFcftjp\nJBm2SIXgTzpJn+B551B8USe9iX2RH5kvit+hIaC+Xq3gyCPBi/rZlOBl9mTzTGWf7S9UX283jlkk\neOoY2MxhVzCJKXo+JT5XBG/qq1AZ/EkniRUHovq8ySTSeUDFi8nUD/OlipddF68vKhX1g5csELzu\nAy/ROJqqaETjpppnUfu8OUftW9k42j5MoxKci7luQqam9yYVtgRPjc+VisbUV2EIXtThlAxe58Zg\nDx6pD9PiyOBNJwSVuMMkFEcNPg4VjUkGz5avvIfvcWXw4TGQ9a2slOMiU6NuTMUrZYgECzoZPHUO\nZ1lFQ4nPRQYv+qCn+CoMwYsmmIysTAiY2Qu/eizLfrJUoqFmj1nI4E2Wy7oyyfB33IYhGzfRMVH2\npLOiDIMlEbxSjotMjUq60Xail2dUfeZLNHwkUaIpjExS9vCL97BBdI7KD/XmMrFv6oviV9YXJu1M\nEQfBmzxkFflS2bPJql2MgYtMjUpwOtdFHQObOewKLgg+Dw9ZU8vgu7q60NraipaWFmzYsGHC8aNH\nj+Kqq67CvHnzMHv2bPzoRz+S2lPdeLqTUuaHIlFjpZxKxY7gXcsks5LBZ0EmKfLliuBl5GwzBqbz\nQmaDyYh5pReKL50xyArB28okKxX1uyIu5roOwdvOCyqkBF+tVrF69Wp0dXVh//792LJlCw4cODCu\nzcaNG3HZZZfhqaeeQnd3N2677TYMSSIVLWNUN4ruMpD6KcmWpbYE77JEkyWCj6NE4zKDN6nBU2SS\nrgjedQYvKr3oZPDUMaCSWlwlGt5LaSYfkDqCBRGSKNEkTvB79uxBc3Mzpk+fjkqlgo6ODmzfvn1c\nm/POOw+vv/46AOD111/HmWeeiTpJT7FOiFtFY1JrzZKKhhJTFgg+CRWNyJdoLsmO6X7wq/pW9ezI\nttaqG6/Kl6rPdMshcapoXBCh7jiKQBk3KsFnZi+a/v5+NDU1jf7e2NiI3bt3j2uzcuVKXHnllTj/\n/PPxxhtv4Kc//anQ3po1a/DKK8DzzwNnn90GoG30GBtMpkoII84M3gVJpp3B19TkK4N/6y03vkwz\neN5YnTjBb5e1DF5kI44M3mXWagKX/UcdRxGSzOC7u7vR3d0tN0KElOBrRLvfh7Bu3TrMmzcP3d3d\neOGFF7Bo0SI8/fTTOPXUUye0XbNmDe66C5g/H7jggvHH2Kca20ArDFnWIYLrTM3El+knvm7WUVOT\nH5nkKacA7y74xsHkBktKRWO6iopjszFVvCpfuiqaNGWS1GuXQXccRbBZkVN8heNra2tDW1vb6LG1\na9fKDUogLdE0NDSgr69v9Pe+vj40NjaOa/Poo4/iU5/6FADg4osvxoUXXohnn31WaHNoSK4cEWUd\ncalomF+bhxw2GbwLFU2aJRrdMfEqmvQz+LyoaFz1H3UcXWTwuVLRzJ8/Hz09Pejt7cXAwAC2bduG\n9vb2cW1aW1uxc+dOAMCRI0fw7LPP4qKLLhLaVN14LmWSVFWBiww+TRVNnDLJJFQ0vJfSKL5cEXye\nVDSyeIumouFdU5wlmiKqaKQlmrq6OmzcuBGLFy9GtVrFihUrMHPmTGzatAkA0NnZiS9/+ctYvnw5\n5s6di+HhYXzzm9/EGWecIbTJlnSiG8rX4PXJJW81+Og5bKtoWUXQZQ0+zyoaVbyUdnlR0VA/jCk2\nkqrBn3wyrd3Uqfr2TSAleABYsmQJlixZMu5vnZ2do/8/66yz8Itf/ILskE2I6IM2FcFPneoJXuQ3\n7wSv8iPyRSH4N95Q+/IEz7dBncOnnJLc/Iszg3dB8LmSScYB1glll0mGdyssu0xS9TBX5Es0l2TH\nqDeXl0nS5pWXSY6PN1cyyTigUjeURUWj+kDTmZR5UtFQSZfiy6toJsah8uVVNPJ2Iuh82NmqaFwi\nUYKn7LxXlho8ZWnvSzRyX5QSjU0pw0WJplJR+5IhDyWarKtofIkmITClhGjiyeRmbLc+6hdMM3th\nyNQHtjJJ3afiquvNymZjSahoVH5EvkT2ZPsL8W6uuMbAZF6I7FPjpbTj9RlbOVO2147aYx9irr8X\nmHdNJgSvM44i5FVFkyjBm2atbBLxtoxV+QqjqBl8mjV4VwRvmsHz7MlKXEln8K4yUGq8lHaiPosq\nmagEH9cczGMGnysdvGvYELzuJPIEb484CD6JEo2qb71MUm9lI1s1J03wWZdJTp7M3+1T5atwBK+r\notGdRFlX0VDUF6qYskDwWVTRUOZZ1LbpnCuKiobnp7Z2JKOXrZpdiBREcEGESato6uvHtnTW8VUI\ngqcsnVXHqDdHFjJ4U3KmxiQjFxeIS0WTdgavOy9sx1HlSwYqGcSRwTMb1Ot3PQfzqKIx9VUIgqdm\n6TrZvcpXGK5WB6a+eOfYxJSFDN6kRBO3TFLWfyYrO9txVF2HDNTkQWe+szpxuIwg+jBPcw66LHFR\nr0ME0XfcuvIVV5KWOMGrFAeirENXLcLOCaOoKpo4CT7rKppKZeSmC5cRVH0bvbnKpqKpVCaWXkRj\nQCGruJRcvJhMCN6FiqamRl16od6PLq6Lisxk8OyYqw3BTJbiWcngdTOBOGWSrjN41yoaXj9R+tbU\nNu+a4izR6MZLbSfqsyh8Bk/3Tb0fqUmGC2SO4F2RcJkIPo6bi71wJstqTEs0aRN82VU0OgRPJauk\nCD4tFQ3g7n50MS+oUFySW4Q7QFRD5L3J6lU0fLB2cbzJyl5Kk23hq9tnIoK3UdHw+okyz6K2Tedc\nHlU0sj6LQuf6s5jB64zjlClyW9T7kdpnUduFInhRZiHaqsBn8GIbcRC8i4yGZzMLGbzLeVH0DD7N\nVaTL/stDBj8wIPdvgszIJF1ktLxzwrDJ1Ex8JbXZmM3qQ2VbBpNsir0IEobpzSXqJ9cqmqJtNibr\nsyh0rr/IMknm28X96GJlR0XiGbxKcSDK4L2KRmwjrgzeRNmishnet4SVf0x9ifpJ1bfRm6tsKhpZ\nn0VByUbLoKIB3KnaXFwXFZl7yOpVNPpLvbhurjhKNDrlAZUvlT1fotHvsyh8iYbum3o/UpMMF8gc\nwbsi4TIRfFI3VxQ6ftluhbwMJ2mCz4uKhq1m0yT4rKlo2IaDupsOJknwJr4Kl8H7vWhofZHWXjTU\nCU/ts2p1TJUTjderaPhg3/oVVTLJ4lX5UvVZFDrXn8QcrKkZe6uUAld70QDu7kevovEZvFYmkAcV\nTdhe2hm8y3kRZwavQ7pxZfCuslYTqGKKfpmKTXw+g3cAr6KZeE5c2aMtXKtowvao2aPKV9FVNFRl\ni+ilNJM+U/mKwsUKWATTmEzic0HwtiqawmTwSaloop3Ilro8BYetisYkg8+6isZ1Bs8IiKfgMM3g\nXahodGyLrsvGl8w2JasWvZSm22emGXycKhqTmEzic5XBU1U0ugmhKVLZbEx3SWyyDORlNIB4Yttm\n8CYySdvrjXt57FImGZ7UvPKAqUzSRYnGRrml8mUjk9SZw5R2snhFNrI4B00+JKnkLIOrB86280IH\nmVPRxCmTBPTIgArTDN4VwedBJqkieF1fFFUOleDj+pBNKoOntguXckxtiGKMi+BdZPA64yiDq/vR\ndl7oIJUSDW85wo7FuRcNMNG3LCYq0lbRpFmiMXkmEu0bEwUDI/eaGr0x5WVPvLHKgoqGSnDUuR4u\n5Yj6LAoVWSWtoqHEZBJfUVU0mcvgbbIp3jlRFDGDT/LmCiPNDJ5iz2fw+n2msiGK0Wfwdr4KQfCy\nT1Mq4bnOfuIkeNNPe91MwGb1obItg+mKKmsEz16eCX9bj+4qKg6Cl2XmSRK8V9GM+VXdj6z8VWoV\nDe9i2GCy2ir1PJWvKKI24pRJmn7aU2PKQonGNIO3lUnKPjB0ZZLhMg875iKDt12KU0lXd66rjunE\n6zP4EYRfSjPN4Eu52Vj4wVCcCgS/2Rjftgym40FVgch8UexRpYthG2GCT3uzMd05rNMur5uNUWIy\nic92vofPp/YZ1bYNMpPBs2NRgtf5ZOTZiyLJEo1p5qObdVSr+cvgKeUBmS+KvUmTxkovNTVyX6bz\ngjKOMj8y6Maq087URhgyJZML5CmDD5+fJRVNKg9Za2v5X/rLGwjZslKGMqlokry5wtDpMxm5mCgY\novZ4x3j7llCzwiKqaCh9FoWMrKKqnKTmYBZVNLL5HYbO/kIukArBA/SMidpxMl9hFDGDT5Pgs5zB\n6/jyGbx+tmx6b1KR1wye2o5q2wapqGgAT/DhMkK1KlZweIJXn+MJ3hO8ykZZCV5xSW4h6wSRika2\nrKT6CkPkNw6Cp76kxEie2dBdVtbU5E8mmYSKRnUsat+kdCcjkKQ2G9Od66pjMl9hmN6bVORJJimb\n3xQ/cfQfkNJeNID4KT4vsxCdQ/UVRtZUNDYxifrMBUT9F0bWVTSiY7wbzHYMyqiiMb03qTCJSWQj\nKyoaF9ekAyXBd3V1obW1FS0tLdiwYQO3TXd3Ny677DLMnj0bbW1tQluUJWJRSjS80ovonDjKA7aw\nzWhk9spQomHfOmTzME03Vp12vkRD80X1S+0LaoLhCtJLqlarWL16NXbu3ImGhgZcfvnlaG9vx8yZ\nM0fbHDt2DJ///Ofx0EMPobGxEUePHhXaky3p2LGoTDKvKhpe6UV0jm15IE2ZZJZVNKpjUfu8mFRz\nTqSiCZfPZNchg26svHau+yUM03uTChcEn4aKRkbWpi+UmUKawe/ZswfNzc2YPn06KpUKOjo6sH37\n9nFtfvKTn2DZsmVobGwEAJx11llCe2XK4FXx+gzezpdNBk9ZItuOgcvskxqrTjuqDVVZIg2C1y1z\n5SGDT4Xg+/v70dTUNPp7Y2Mj+vv7x7Xp6enBq6++io997GOYP38+Nm/eLLTnCZ5/jif4ZAne5bwo\nOsG7IDVTuOzDshK89JJqoutLDgYHB7F371785je/wfHjx3HFFVfggx/8IFpaWia0feSRNTj1VOD4\ncWBwsA1DQ22jx4qmolHFK5sQXkWj9pV1FY2LpbhX0ejHFIXuOMogGztquYoyVt3d3eju7pYHQ4T0\nkhoaGtDX1zf6e19f32gphqGpqQlnnXUWpkyZgilTpuCjH/0onn76aS7BX375Glx8MXDLLcDWrfyl\nc7QGH15SZ1FFE35dW+VLFJ+tgsPvRaN3jLLs1x0DXWVLePsElW1qrDrtdFQ0x4+r4/MqmvEqmhMn\n9PyEP4Da2trGiVXWrl0rD0wCaYlm/vz56OnpQW9vLwYGBrBt2za0t7ePa3PttdfikUceQbVaxfHj\nx7F7927MmjWLay/aCZQlsekyUHfZyvYtCW+fQEG1Orb1gsqXKL68lmhqa0eIitJnJuWBMIpSouFt\n06GyTY1Vp10ZSjTsfqZIiW0zeGpfUBMMV5BeUl1dHTZu3IjFixejWq1ixYoVmDlzJjZt2gQA6Ozs\nRGtrK6666irMmTMHtbW1WLlypZTgVROMl8EnQfBh1UtU2mbiRxWvS4JPS0XDttkdGgLq6+n2ykzw\nYV+qjNETvB3Bs5V1eJ7q+or6HRxUn099MB21nTjBA8CSJUuwZMmScX/r7Owc9/vtt9+O22+/Xeks\nOiGyJJMMH6tUaD5kflTxupRJprUfPKCOkWcv2i8uZJLhJbFqnsWx2Vj4vQc2HrJ5odtnlFhVfqL9\nMjCg9kWV/CVJ8NRsVyc+6hyUlV4ovpKWSRJuYXfIcgava1/lR2XPZQafNsFTfBc9g2e7KrKSgOm8\n4NmmxqrTrgwZPDU+0UtpOn6pvjKXwbsEZbMxFcG7VtHETfAmKhoquaStogHofUYZex0/SRI8VX3B\nbLgieGq2FzfB51VFQ41P9FIaz6/JilwUE9W2DVLbLji6zGL1Mt6y0lRFQ13e2igBbDJ4nl/20LK2\nNv29aFxn8OHrdSGTFI2b6hiFNFi8YdUL5bqYL9PSXdQ2NVbbuW5SOjC9N6lwkcFT4nMx18O+TDJ4\ntnrQFXmokGgGL+uE8IW7yLDDvsKQyeZMM3jRwzKTtwBNHgwND8dzc6keAgL0G1uVPZrIJF1m8CL7\n7MsZWOmFel2m8yJq27VMUncM0i7R2MgkqfG5mOsufJmIPFTI3Bd+uCJgF8tWGz8qezJioMYj6jMX\niCODz2OJhneMcl2m80JkmxortZ2pDVF8Sa4i4yB4Fxm8qDpB9RVHH6ZK8GyZyZYlvK/+SkNFowPX\nKhpqPOEHQ8yPqIxgAp1JnwUVDeWY7KU003lHGUfVtYhAJbg4Nxsrg4pG53mTyTM1qq/CETwv24m+\nPOMzeP754QdDOi/PUFHEDF7npTSfwatj9Rm8W1+5J3jRJ2r4oqO1Z0/wNL+uJ0cRCV5nrDzBq2P1\nBO/WV+4JXpZZRclKt2Qh8xVGtBNtl5mmS3FKX8gUHLI+c4G4ZZJpbDamWh6LSjm246i6FhH8ZmP6\nMZnE54LgbWWSqvNMkYmv7Av/HZiYCSWx2ZiufZUflT1KX8hKL7I+cwHZdYVhoghJa7Mx2c0VlTiG\nSzm246i6FhFM5jC1nc5mY7rX7gomMZnE52Kuh21Q+yyKwmbwsnKD6TLQxbLVxo/KnklfyPz6Eo36\nGHWsdPrW1pcMJnOY2s6XaNR+dPy68BXHh2QmVDTRixa9MEId2OHhsYePUciWtyZLpDhVNLKYZH3m\nAjqTPgkVDdvtk5WrZONGnWfR6+DNOV68DEwMwCvluFiKUwlO1H8qwYJJmSeMtFQ0JiUu6nXIQC29\nUJVHPPuFIvi4Mnid7Mln8Or4ZEgqgw/v9qljL9q3lOUxtW/DL6WpbIh8yWCbwTPBgm6fheHi5R5T\nmMRkEl9WMnhP8DERPKV25sKX6DxP8Pq+TAmeMlYuxiALBC+LiWrDBamZwjaDp2bVnuAdgapukGUd\nNkvbqF/2ohAr5cRB8LbqC1n2KOozF8iaiibqK04VDY+4KWUyHV+6fRZGdN8S6nzPk4pG9VKaLg+E\nd/uUtZNBNm6uVDS5Jvhwthynika2FJf5zZqKRmZD1mcuILuuMJJS0UTPo9ozUdGYjkFSKhpmI/yB\npDvfs66iYcmX7jelieKTxehirlMrATJfrj8kgZKXaFyUOUw/kU36QubXl2jUvlzPC+q8lfmSwTRe\nSrusl2ji6D/qOIoQd4nGq2gsl7YqvyafoF5Fk4yKJupLVh6gzrOobd6c48UrilvHl8tSo8l8l/WZ\nyE8UcapoXBC86TiKQC29eBUNfAbvM3g7X6YZvEsVTRky+LRUNC4y3bxl8J7gPcEL/XqCV/tyPS/K\nQPAuSM0EcfSfJ/iYQdlsTHZMtkQKI0sEr6uiocaUdxUNOye8VbSOr6QJXldF4+JGpi7n4yb4NFQ0\n1LKTDKbjKIJs3LyKBuMvLlpnjypCeAoB1yqaqN8sqGioMUX9xpFBxamioShAZL7C/RSNQXRMRhqy\nmExUNCKJn8yeyj41XpEvap+FocpG41LRyK5JJ4P3KpoEIeoEnQw+zqVtUiUa3m6FLssDLuAiqxHZ\no2afMl9/h9fiAAAeSUlEQVRJZ/C6YxBHiYEaL6WdL9HQfFH9UvtC5qs0KppwBxVRRcN7wcrlSzYu\noDPpbVQ01FJQ1JesPECdZ1HbophEfetVNNkm+LRUNNQ+49kvFMGLMhDRyylFyeB1Mj+qjTRlknnK\n4L2Khh+DyIZX0ajPj9ow3RYh9wTPMleAfkN5gte34QJ5JfggGE/ktkQou8YyELwOqVWr7r4XOI7+\nS4rgqe107JsiUYKvq6PtvCc6xvaSUE2iLBG8rfqCuqyULR9NkJSKxjXBy/YXspkXRVbRyJRMsnkV\ntsd2+3T1vcBeReMGiRM8g4mKJrplrAiypXgWVDTRc7yKhhYTRREi6z+voqH1WRiqbNT2/hFBdk06\nGXzeVDS5JngRIbnIaMPIUgZvu7T3JRq+L6o9X6LR77MwZKWXOOdgHP2XVImGVRp0d66kJK+6SC2D\nj2bpooGgPgkPI+sqGh31hUl5wAV0Jn2WVDSy/qOSRtlUNDI/slWzyb1JRRwlLuo4iqBTrhK1LbSK\nhprtiFQ00fNEKGMG71U0fHs+g7fL4GXx+gxebENWDio9wduScBkJPs0MPm2CZzcTU9DI+tbLJEf+\nHy69qMaASlZJEXxaMkmd0ouJL0/woHWCJ3h75Ingw9/W4zN4Wrtw6cVn8LQ5KCu9eIKHeAlDVdGw\n8ygqGkonulLRyHyJJoOtikbWZy4Qh0xSpKIxIXhRP5mqaEzmnGocbW9k02dJIl+yPlMRPPX6Xc1B\nVzJJ6jiazMFovJT7sdAEn6SKhiIbc5XBm8gks5zBs71yKDs8miyXqWUTmS/R9Ztm1SbzQuUrbpmk\nri9Zn8nGIK0M3oVMkjqOJnPQtS/XSRrgVTTCmKgoooqGZSO878OMQieb4hG8CxVN+Jis/3QyXUrf\n5llFEz5mWqIpm4qG2bC5H1XvYiSewXd1daG1tRUtLS3YsGGDsN3jjz+Ouro6/PznPxe2MclaTTN4\nyuRwlcHrTsSsZ/Aulqwym9SsWubLdQbvegxcEJRpvNR2oj6jxpvWHIwjg7ed7y58uew/BinBV6tV\nrF69Gl1dXdi/fz+2bNmCAwcOcNt96UtfwlVXXYVAso8A9WbwMkl9G67fIoyT4HUUHCJfpgTvVTQT\nj6nGwKto9G3kQia5Z88eNDc3Y/r06ahUKujo6MD27dsntPve976H66+/HmeffbbUmc/g1X7LkMHr\nKDhEvnwG7zN4XRs+g4+gv78fTU1No783Njaiv79/Qpvt27dj1apVAIAaSeHWFcG7UtEkQfB53GxM\ntyZJ6TNRPTQvBF+0zcbCxygET73+rKloTMZRBtv7MWmCl16WjKwZbr31Vqxfvx41NTUIgkBaojl8\neA3WrBn5f1NTG4aG2gDwJUYnToz8P7qspizPZEvxIm02dvLJY7/X1QHHj+vFLoLsmqKg9Bl7OSSs\nygln8LabjYWPqWSSU6aIbWdps7Hot37pxCvyRe2zKGTZaBqbjbF5FJ1TpvG5mO9RG9Q+C4N9KHR3\nd6O7u5sWkAJSgm9oaEBfX9/o7319fWhsbBzX5oknnkBHRwcA4OjRo3jwwQdRqVTQ3t4+wd706WME\n/8wzwLe+NfJ/FxltGFnK4G2X9llbHkdB8ctT5eQtg7cdR5EvEZhMVZRjlblEE/ZVX0+3kfUSDfvw\naGtrQ1tb2+jf165dSwuOF6/s4Pz589HT04Pe3l6cf/752LZtG7Zs2TKuzV//+tfR/y9fvhzXXHMN\nl9wB8RJG1jleJpm8TFJ3wpuUzFi8XibJhw7plk0mGfYlI/i8ySQTL9HU1dVh48aNWLx4MarVKlas\nWIGZM2di06ZNAIDOzk49Z8RsJ04VDXXfEiqSyOB5pRdZn9nCdQYvI/isZvAnncQ/Jrsulxk8leBU\npZyiZ/A6NpLM4LOiolFe1pIlS7BkyZJxfxMR+z333CN3pkFqcRE8dd8SKpIg+KzdXGHkjeDzIpOk\nEpzqpTQXBJ81maQsJpP44iB4E19xEHwuNxtztbxNguC9ioZvL+sZPKVv4yR4yv4wutm3TQafJRUN\n1ZfpOMpgez+WhuBtNhujfHLLnopTFBdUyHzFraKhPLU3gar/wjAdDxsVDfte3qgqRzWmqtfEs6Si\nocxhSv+FS5I8JROvz6KQZaNpqGhkMZnE52K+U+9H6irSFQq72VhWMnjbpb0v0Uw8R2dF4CqDtx1H\nkS8RTOewqJ2NkimLc9CkD7NeogknGa5Qus3Gwr5dLDG9iiZ5FY3IXhlVNKZzXXWM5yuKLKhoZPAq\nmpzW4H0Gny2CTzqD17FHzarDL88UMYO3GYMszsEsZfA8JZOJr9IQfJwyybCNIhF8mWSSNgRPqet6\ngh8Pr6KR2+CVv7Iik8wkwbNjOp+MYZSR4H0Gb5fBU23IrquoBJ/FOZilDF7Wtzq+CkXw4S1jRSoa\n3uvalAcRqkwtSRWNqF5nq6KRKY9soVJVhEHpM549GxWNyB7vWG3tmIJEVWsVxeRiHHmxyqAaA10V\njU6fRcGbW7L9hVzAJKYoTMdRBt7Y8WLlxafzUporpKaiqakZmRyiB2OqrEMGn8HboUgZvI4vn8HT\n45WpclygiBm8an+hQqlo2O8ygpfJ4WTwKho76E74LKtoVMcoMbkYR148MpjGKvLlol/CML03qXBB\n8EmpaHQI3vaadJE6wcsyprJk8GzrBFcKDlv4DN5n8Kp4Te9NKoqYwbu4Jl1kkuBZnassBF9To17N\nqGx4FQ3tmFfR6Nvgza20CT5LKhre+dQ+U9m2RSYJvmwZvElMPoN3c4zSTncM2E6lNg/TskTwPoOX\n2/AZ/LsQfcpFbwZZxuVSRRNt51pFE1ZwqM7RjakIKhpKVk09h3qMkhXyxkBHRTM8PCYikPmRgaKi\nofSfaZ+FwZtbpvcmFUVU0VBXkC6RmooGGLsg0cOquDN4F69aU3zpPJShxlSEDJ7ygI/nS/aAT/cY\nJSbdMXDxMI06r0znum28PoOXn2+awXsVDWFgs6KiEcUrui6dmLJE8F5Fo+/Hq2jkcEHweVPRuHyO\nxpA6wfOWzqK/h4/JQJ0cLkjSZCLKrss2e3SBpDJ4StmEeo7pMUo73TGII/ukxqrTziZen8HLzzfN\n4EtB8EVR0YhsxkHwXkXjCV63nSd4mi+VX975XkWD/GfwvNe1Rb5U8eU1g2cTOQj07KVF8EnIJFXX\nFN6mQ4QsEbyXScpt+Az+XbgieFf1y2i78JaxFLCamujVY1G8Lghe9halLXRqkuHvuNWxl7cMXuc5\niMpPTY1acUJ9tpNUBk+dw0nNQZUvNh/DyRd1HGXg3Y+yZ2o6fgpH8KLNjljn8DIu6ie37QZMFKj8\niOzJrisak2zbUd1dNqmgXFcYqj4TXW8Sm41Fj1Ey62hM1DGgbt4lsymyTY1V5Md2szGdOewC1NWW\nzvnUcZSBej9T+0x1ji1Sl0lmSUUTPkYBJdPV/cS3zR5dQCejYb5lfSbLHoukopk0aSRzHBykzQvd\nPqPEKvLjol/CyLqKRie+LKloCieTNCnR6NbeeHHY2Kf6EdlzUaLJGsGrsqm8l2goY8BKL++8YzYv\nZLapseq007Whii9LBE+Nj1fKkcGmL0pXovEEr47JEzztnCwQPGt74oQneFskRfAu5rorXxTBgi4y\nSfBpySSp9ql+RPZEfgcGRv4ffTBEIZe0ZJJAvgjeREUT3u2Tcl1FI/g8qmjSJngTmSRFsKCLTBJ8\nWTN4HjH4DJ52TpwZfHi3T8p1FY3gfQavb8PUl8s+BHKqonG12VhSKhrqRk3vvEOPJyubjQHqPhP1\nc15UNOFjYeiMo+haRKBsNpakiiZvm43ZjKEMcW42xs7LLcHzOmFggP+9qzYZdl5VNLyHc7x4eA+G\nKC/PUGGS1WRdRTM4SH8pjarA0BlH0bWIQM1gvYqGD5sxlEFnJWfiy7WSJvUSDW85y2pRAwO+REM9\nn/LyDBVFLNEw0lW9lKYzL3yJRt3OFL5E4waZJHjZMU/wYr+uJkcRCV6HdD3Bq2P1BB+Pr9IQ/KRJ\nnuABfulF5NeVkqbMBD8wwC/leIJXx+cJfgwmKhqRfRtkluB9Bj8CXunFZ/BmBE95wCUq5ZSZ4L1M\nUt+Gz+AhVxywm033SX0Q0BQIbGJnXUXDi0l0fXV1bmrwSaloRGOg8iMbN1nfqm4u1RhkTUVD6T/T\nPguDN69E9ryKRhwfxVeuCZ7XCaIbT3RM1QFseU3Z4ZG6C5wISahoeDFlMYM3UdGIxkAE9h23vL1e\nVGNKVbbIxiDct8PDI7HwSjlJqWgo/cfuBd0+i7ajzuGslGjyrKLJLcEnUaLRWQbloUTDs5FFgk+i\nRMNeOJJ98NuWTahjwG5WXiknSyUaWUy6ZR5VfFki+DyXaAovk5Qdc0Xwg4PipZUn+GwSPDtPl6zi\nIHjZGCRB8CzTo+5c6QleT7Cg4zf3Nfiuri60traipaUFGzZsmHD8xz/+MebOnYs5c+bgwx/+MPbt\n28e1kyWCZ3VSysM0W1+e4D3Bq+xFoeoX2bsi1JiySvCm35Smik9HsKDjN9cEX61WsXr1anR1dWH/\n/v3YsmULDhw4MK7NRRddhN///vfYt28fvvKVr+Bzn/sc15bOjWcqk7RZslLsm/hKiuCLLpNk55kS\nPOUBV14IXteXDcEnraIRlb9UMani48UYF8HnRia5Z88eNDc3Y/r06ahUKujo6MD27dvHtbniiivw\nnve8BwCwYMECHDp0iGuL1wmiG090U6qe1A8N0RQMIr9pqmioMZVVRcPOE80LkT1RskC1zY5FMz9R\nO8qHia2KRteXbp+FwZtXon5Oav6p5rpsfCjjKELeVDTKz67+/n40NTWN/t7Y2Ijdu3cL2//whz/E\n0qVLucf+8z/X4G/+ZuT/bW1tqKtrc66i0SnRZC2Dp8ZUlBINZR8Uni/ZvEhKRSMbg3feAaZOVfuK\ncx5T2sn6TBVrnBm8i0w36Qz+pJNo7SjX9fjj3XjooW56UDJ7qgY1snVSBL/97W9x9913449//CP3\n+D/+4xqcd97Y7w8/7F4mSZUuUiWJMniZJD8+ij0qufB8yTZl0/3wpLaL9q0obh1fNjJJXV+6fRZt\nR53DWSF42fhQxlHmN26Z5Jw5bWhraxv929q1a+kBRuNVNWhoaEBfX9/o7319fWhsbJzQbt++fVi5\nciW6urpw+umn851xOiGth6xFrMHnLYMfHNRfIqvmhW7fUtvpjEHRavCiOVxfr25ngjxm8BSeymQN\nfv78+ejp6UFvby8GBgawbds2tLe3j2vz4osv4rrrrsP999+P5uZmoS1P8OLzykjwbKto6vdhsvM8\nwev7ypOKxhM8PR4VlJdWV1eHjRs3YvHixahWq1ixYgVmzpyJTZs2AQA6Ozvxta99Da+99hpWrVoF\nAKhUKtizZw83+OjvJ04Ap5wy0W9ZVTTsGYXMhshv3lQ0FHLi+TIl+ClTzGyH7TOUieCTVtFQrt2r\naGggXdqSJUuwZMmScX/r7Owc/f9dd92Fu+66S+2M0wknTgDvCnAmtP2//9PfK0bnxnChotEdMJHG\nV0dFIyprZDmDN1W28HyZqmhOPZVmm/dBQB0D6nWlQfCyPjPJ4HXvTSpcZfDUe8kFwVNemMxkicYl\neJ/4Jg9ZXcgkXalodGWSTFLFe8HKxQO+rMokRWOv44f5MtmqQGezMUrfyjLEJDYbC8drOt/DfWYi\nk9S9N6lwJZOkjqMLmSSlLyi+ck3wSWw2lnUVjYn6Qodc0srgTVQ0FNLl+ZJ98CclkyySiiZrm425\nyHTzrKLJ7V40vJ33yvaQ1aR2q2MjqyUa3ji6rsHL9hfyD1nFfUbJ4CnlhtrasRKkDfxDVno8KiRK\n8FGYEDz7kBBNIk/wtNhlyCvBy/YX8gTP7zOKkolKVmy3T9sM1BM8PR4Vckfw7JioEzzB02KXIa8E\nbzKXdGwUkeBNY41zDhaB4FmtXnfnysIRvGg3vEmTxMdcELyJbVNfVGKgxiSykTeZJGUnRJ4v3nmq\n/hsYoD3gsh0D6nW5IniqL90+C4N90Up41Zw2wWddJsm+aIXSZyr7NkiV4NkNJ5L8iY7JHkSo6okq\nv3FvNiY6Ryemomw2Fv6p44t3nqr/ABppyGzYjmO0nW6f2fjitdMZg+jckl2/7RwswmZjvBgpvgpF\n8OyGE33Syo6JOoGqbJHZTktFQ40piyUaExVN+KeOL955pnNJx4btOEbbuVDRUH3x2umMgc71Z6FE\nk7aKxtSXq1U4Q+EI3vbGSLNEQ40piwRvUqIJ/9TxxTtPlqXHQfAm4yizF0USBM8erJoQfNolGtP+\nsy3R8EQeLn25WoUzeILXsG3qyxN8/ATPvq3HEzy9HVO9eILXi8+0L0pXg/cEbxaTJ3jx9XuC12vn\nCd4TfGyQTTzVktsT/MR2Lup3bOmpu8NjHgie8oBLZrvMBE/dwyUpgk9LRaNjw2Tfm0IRvFfRmMUU\np4pGV0HDi49i07WKhv3Nq2j02on6LIro3JJdf5FVNMyGyf1I8VUogo+jRONVNOq4ZTDNaNJW0bC/\nJVWiKYKKhv3NpERTVhUNs2FyP3oVjcYxX6JRtzOBiyUrxaaOgiPqS3RekgRfthJN1uagaf8lWaIx\n8eViFR6GJ3gN26a+PMFPtKmj4Ij6Cv+MHvMEr9fOE3z2CN5n8J7gc0PwQSCP1xM8H57g5W1YLT28\n1wvFhif4BCGbeF5Fo2/DRf3ONcEPD49k6zxVjid4/rHh4RHiUimZykzw7L0HmdgibYL3KhoLFY2M\n4LOmookOsq2KRmTD1c3lUkUjs0dVcETPCf+k2HOlNrEdR5m9MJjt6LbHNr5E7ahjoHP9Sc1Bk3lH\nvQ4dv9T7keKrUARvU6IRfXJnUUUT/co+2+uN8yv7XKgKqPbylsHbjqPMXhjUMUg6g8/aHDTpQ+p1\n6Ph16csTPOxLNKblHxNfSZZokloe6/iV2csbwSdVoqGOAWtjU8rJa4lG5SsLJRoTXy7eIwijlASv\n2rfEE7zeOZ7gzXy5IPi6OnUpxxO8+JysEbzP4OH25tCxbeLLE3w8BC+qeZaR4CntRDF5gvcEHxs8\nwY9vF/5paqMMBC/6DlFP8OJ2tkqmLM5BT/BqZFZFY6p00XkCXzQVTZIKBqpfmT1TFY2uvbyqaFTQ\nUcDYjkEW52DWVTQmvgpF8DYZvAsFgq5tE19Re15FM/48E1+69qhZterhexZVNLbtdGxkbQ6a9CH1\nOnT8ehWNAL5EM75d+KepjTKUaOIieFb6KWKJxgXBZ20OZqFEMzw88k9U/tL15Tcbgyf4LNxcVL95\nIniVDU/w6hjLRvAsK+cpmUx8uVgBhZF5gqd8MobhCV4dtwxFJHhZ6YVqwxN89uZgFgheNb9L/ZBV\ntmUsm3iUT8YwPMGr45ahiAQvK71QbXiCH1+WAPSTLyqKSPCyUo4sPlukSvCyLWNFLyIBnuBFNrK4\n2VgWCJ4do6glPMHzEZ5bOlmrCajXr1LRpE3w4fhkpRxZfLZIleABsUxLdkPKXuelfuWcTFKno6Kh\nyOGiT9JNZJIUG3V16X1ln8l4JCWTZMeopGEzBjoyybjmsE47qo3w3FKNaVJzUDbfZeNDGUcZwjZk\n51P7LHpOoQheljGVKYOvrR1b0Zja8CUaN6UIn8Hz22Utg89TicbFqsQEnuA1bJv40plQLsjFE7yd\nL0/w4nae4CfacE3wLlbhYXiC17Bt4ot9IrNvnvEEP/68ohK8zRuLnuDLTfCJZvBdXV1obW1FS0sL\nNmzYwG1zyy23oKWlBXPnzsWTTz6pFUDRCZ4pOJjyYGgI+N//7baKqUgEf/Bgt7avrBP8pElmD9O6\nu7ultqmx6rTLKsE/+2y3Vkw8G57gFQRfrVaxevVqdHV1Yf/+/diyZQsOHDgwrs2OHTvw/PPPo6en\nB3feeSdWrVqlFUDRCT5qc2gI6O3ttoqpSAT/wgvd2r6yTvCmN7In+DH7f/lLt1ZMPBue4BUEv2fP\nHjQ3N2P69OmoVCro6OjA9u3bx7V54IEHcNNNNwEAFixYgGPHjuHIkSPkAGSqBdmTetnAZmmzsajN\noSFxdkeNSeQ3j5uNqTJd3jmmKhqX80I2BnFtlGXjy+VmY6oxdTEHVXpxlS/qPWI736l9QfXjmuCl\nnyn9/f1oamoa/b2xsRG7d+9Wtjl06BCmTZtGCmDyZKC+nv53YOTvP/oRsG/fxGP79gGVirnfSgV4\n+23gmmvUNgYGaJ/K9fXA9dePtP3zn4HZs/Viqq8H/vKXsZhefJF/jfX1QG8vLXYRenuBj3xE75xK\nBThxgu/38GHgve/lnzd58sh5OpDNC9NjlHb19cCRI2PX+PTT4jGYPFntp1IB3nlnfJ899xzwxBMj\nfXbBBeax6rSj2qivBzZvBvbsAd56S3yP1dcD//3fwDPPqG2KsGcP8PGP02L6+teBu++eeOztt8Xj\ns2fPWL+/9hqNL6I27roL+O1vgddfl/fF5s3A44/L+ywM1wSPQIKf/exnwWc/+9nR3zdv3hysXr16\nXJurr746eOSRR0Z/X7hwYfDEE09MsAXA//P//D//z/8z+GcKaf7Z0NCAvr6+0d/7+vrQ2NgobXPo\n0CE0NDRMsBUwGYmHh4eHRyKQVrrmz5+Pnp4e9Pb2YmBgANu2bUN7e/u4Nu3t7bjvvvsAALt27cJp\np51GLs94eHh4eMQHaQZfV1eHjRs3YvHixahWq1ixYgVmzpyJTZs2AQA6OzuxdOlS7NixA83NzZg6\ndSruueeeRAL38PDw8FDAuLhDxIMPPhjMmDEjaG5uDtavXx+3u0zhxRdfDNra2oJZs2YFl156aXDH\nHXcEQRAEr7zySvDxj388aGlpCRYtWhS89tprKUeaHIaGhoJ58+YFV199dRAE5e2L1157LVi2bFnQ\n2toazJw5M9i1a1dp+2LdunXBrFmzgtmzZwc33HBDcOLEidL0xfLly4NzzjknmD179ujfZNe+bt26\noLm5OZgxY0bw0EMPKe3H+iYrRUdfZFQqFXznO9/BM888g127duH73/8+Dhw4gPXr12PRokV47rnn\nsHDhQqxfvz7tUBPDHXfcgVmzZqHmXX1kWfviC1/4ApYuXYoDBw5g3759aG1tLWVf9Pb24gc/+AH2\n7t2LP//5z6hWq9i6dWtp+mL58uXo6uoa9zfRte/fvx/btm3D/v370dXVhZtvvhnD7A1KEWL5WHoX\njz76aLB48eLR37/xjW8E3/jGN+J0mWlce+21wa9//etgxowZwcsvvxwEQRAcPnw4mDFjRsqRJYO+\nvr5g4cKFwcMPPzyawZexL44dOxZceOGFE/5exr545ZVXgksuuSR49dVXg8HBweDqq68OfvWrX5Wq\nLw4ePDgugxdd+7p168ZVQRYvXhw89thjUtuxZvA8jXx/f3+cLjOL3t5ePPnkk1iwYAGOHDky+iB6\n2rRpWi+G5Rlf/OIX8e///u+oDb3FUsa+OHjwIM4++2wsX74c73//+7Fy5Uq89dZbpeyLM844A7fd\ndhsuuOACnH/++TjttNOwaNGiUvYFg+jaX3rppXEqRgqfxkrwNbqvKRYUb775JpYtW4Y77rgDp556\n6rhjNTU1peinX/7ylzjnnHNw2WWXCSWzZemLoaEh7N27FzfffDP27t2LqVOnTihBlKUvXnjhBXz3\nu99Fb28vXnrpJbz55pu4//77x7UpS1/woLp2Vb/ESvAUHX3RMTg4iGXLluHGG2/EJz7xCQAjn8ov\nv/wyAODw4cM455xz0gwxETz66KN44IEHcOGFF+KGG27Aww8/jBtvvLGUfdHY2IjGxkZcfvnlAIDr\nr78ee/fuxbnnnlu6vvjTn/6ED33oQzjzzDNRV1eH6667Do899lgp+4JBdE9Q3zkKI1aCp+joi4wg\nCLBixQrMmjULt9566+jf29vbce+99wIA7r333lHiLzLWrVuHvr4+HDx4EFu3bsWVV16JzZs3l7Iv\nzj33XDQ1NeG5554DAOzcuROXXnoprrnmmtL1RWtrK3bt2oW3334bQRBg586dmDVrVin7gkF0T7S3\nt2Pr1q0YGBjAwYMH0dPTgw984ANyY64fGESxY8eO4JJLLgkuvvjiYN26dXG7yxT+8Ic/BDU1NcHc\nuXODefPmBfPmzQsefPDB4JVXXgkWLlxYeAmYCN3d3cE111wTBEFQ2r546qmngvnz5wdz5swJPvnJ\nTwbHjh0rbV9s2LBhVCb56U9/OhgYGChNX3R0dATnnXdeUKlUgsbGxuDuu++WXvvXv/714OKLLw5m\nzJgRdHV1Ke3XBIHfQ8DDw8OjiEj9G508PDw8POKBJ3gPDw+PgsITvIeHh0dB4Qnew8PDo6DwBO/h\n4eFRUHiC9/Dw8Cgo/h96b8WWoAnZpQAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "message = encode(\"The quick brown fox jumped over the lazy dogs.\")\n", "print decode(message)\n", "plot(message[:100])" ] }, { "cell_type": "markdown", "id": "a47283bd", "metadata": {}, "source": [ "# Signal Generation" ] }, { "cell_type": "markdown", "id": "8a6b9d3f", "metadata": {}, "source": [ "An obvious encoding is as a sequence of voltages. However, such an encoding requires precise synchronization for decoding, and if there is a sequence of null characters, such an encoding would likely lose synchronization." ] }, { "cell_type": "code", "execution_count": 134, "id": "45d7e206", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 134, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAD9CAYAAABdoNd6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQNgDQAAQ9gAQAIQ9AATA/wN2sVQKjO5uOQAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "signal = tile(message.reshape(len(message),1),[1,400]).flatten()\n", "plot(signal[:5000])" ] }, { "cell_type": "markdown", "id": "546d1355", "metadata": {}, "source": [ "Here is a better encoding. It uses positive to negative and negative to positive transitions, separated by quiescent inputs." ] }, { "cell_type": "code", "execution_count": 135, "id": "96d7f130", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 135, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD9CAYAAABeOxsXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJP0f88dAtcNM0NoAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "signal = concatenate([[0,1,-1,0] if m else [0,-1,1,0] for m in message])\n", "signal = 1.0*tile(signal.reshape(len(signal),1),[1,800]).flatten()\n", "plot(signal[:5000])" ] }, { "cell_type": "markdown", "id": "d20fa317", "metadata": {}, "source": [ "# Signal Decoding" ] }, { "cell_type": "markdown", "id": "6d02f41f", "metadata": {}, "source": [ "Decoding should usually be resistant to noise" ] }, { "cell_type": "code", "execution_count": 136, "id": "b69d8fe8", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 136, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD9CAYAAABeOxsXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXl8FEX6/z8TDiGgXELAJBIhCQkQkkAgLgoGJcRwZFFU\nDnURcWURRHT1u6zrKrhyLeoKy89d0BXwQhTXBTVkQXFcBEIUAiqgBAmSEBIuuY9w1O+PotM9Pd09\n3TPd0z0zz/v1mld3V1dX1XRX1VPHU0+5GGMMBEEQREQTZXcCCIIgCPshYUAQBEGQMCAIgiBIGBAE\nQRAgYUAQBEGAhAFBEASBAIVBRUUF+vXrhy5duqBr166YN2+eor9JkyYhKSkJ6enpKC0tDSRKgiAI\nwgLqB/JwgwYN8Le//Q0ZGRk4deoUevTogdzcXKSmptb5KSwsxO7du1FWVoZNmzZh/PjxKC4uDjjh\nBEEQhHkE1DNo27YtMjIyAABNmzZFamoqqqqqPPysXLkSo0ePBgBkZ2fj2LFjqKmpCSRagiAIwmRM\nmzPYu3cvSktLkZ2d7eG+f/9+xMfH113HxcWhsrLSrGgJgiAIEwhomEjg1KlTuOuuuzB37lw0bdrU\n677c4oXL5fLyo+RGEARB+MYMq0IB9wwuXLiAYcOG4b777sPQoUO97sfGxqKioqLuurKyErGxsYph\nMcboxxiee+4529PglB+9C3oX9C60f2YRkDBgjGHs2LHo3LkzJk+erOinoKAAb775JgCguLgYzZs3\nR0xMTCDREgRBECYT0DDR+vXr8fbbb6Nbt27IzMwEAMyYMQP79u0DAIwbNw4DBw5EYWEhEhMT0aRJ\nEyxatCjwVBMEQRCmEpAwuPnmm3H58mWf/ubPnx9INBFHTk6O3UlwDPQuROhdiNC7MB8XM3PQKQBc\nLpep418EQRCRgFl1J5mjIAiCIEgYEARBECQMCIIgCJAwIAiCMMyOHXanwHxoApkgCMIgLhewbx8g\nsbRjY1poApkgiAjmhx+Ap5+2L/6LF+2L2wpIGBAEEZIsWgTMnGlf/OFmTo2EAUEQBEHCgCAIgiBh\nQBAE4Rc0TEQQBEGEHSQMCIIg/IB6BgRBEETYQcKAIIiQJNxa5nZDwoAgiJDEboMFasKothY4diy4\naTEDEgYEQRAmMmEC0KKF3akwDgkDgiBCEqcOE+3ZY3cK/IOEAUEQhB84VRj5S8DC4MEHH0RMTAzS\n0tIU77vdbjRr1gyZmZnIzMzECy+8EGiUBIHz54GKCrtTQUQyvoTBuXOh1UsIWBiMGTMGRUVFmn5u\nueUWlJaWorS0FM8880ygURIRxrlzwLZt/PzSJeDCBeD554Hrr7c3XQShxV/+AnTsaHcq9BOwMOjT\npw9a+JgtoX0KCDk33aTfBPDLLwMZGfz87ruBTp2Aw4etSxtB6MFXzyDUNIosnzNwuVzYsGED0tPT\nMXDgQOwIxy2CCMNs2ACcPavPr9Tf118D5eX2qxUSocmlS0BZWXDiOnUqOPGYRX2rI+jevTsqKioQ\nHR2NVatWYejQodi1a5ei36lTp9ad5+TkICcnx+rkERZQXAzceKN/zz72GHD8OLB4sehmZKLu6FHg\n3XeBiRM93c+dAxo18i9NRGjxxz8C/foBAwZ433vnHWD0aN6YcLsBK6uYH36wJly32w23221+wMwE\nysvLWdeuXXX5TUhIYEeOHPFyNykpRBB46inG3nmHsRMnvO+dP8+Ynk8JMPbEE4wtXuzpHh3t/fyf\n/yy6xcfz84cfVo7n1Ve93T/7TF+aiNDiD39Q/q4AY3l5ys/MnMnvX74cWJ4AGKuq8nZ/5hl+D2Cs\nZ8/g5Duz6k7Lh4lqamrq5gxKSkrAGEPLli2tjpawkDlzgHvvBRYuNP7svn3i+csv84lgKUrDP0LP\nYM0abX9qVFbq90uEDlo9Rnn+6N8f2LuX9xqk9/Xko3Pn9KfJiLJkebmzNOICFgYjR45E79698eOP\nPyI+Ph5vvPEGFixYgAULFgAAli9fjrS0NGRkZGDy5Ml47733Ak404Qz8Gbdv356rhfrD5Mm+/WhV\nEAcP8uPddwPbt/uXBsI5CPlvzRpgzBhg2TJ1v59/zuepBC5f9gxD4OefvZUTGjcGfvzRePq+/lrZ\nvaoKOHECSEwEsrKMh2sVAc8ZLF26VPP+hAkTMGHChECjIRyIljBgTL1iFgqiHh55BGjYUNuPy8UL\n+q9+pe0vJoana/lyXgi7dNGfDsK5LFoELF3K55mGD+duWj1MtfsAkJAA9OwJlJR4uh896vvZ9ev1\npTc2Frj9dl4OnKRxRCuQCb/REgZaFb6RHsU//gFs2sTPd+zg2iBK+LO4x+XyHHoiQofTp4HZs/l5\nlEItplcYKPnzVUGr5d+bb9Z+TsqhQ/yolp/tgIQB4TdCoThxAjhzxtNNqcAo3TtzhhdsvVRV6fN3\n/ry2QBJaevPn64+bcA7SYZt69bT9/vvf/KhXGJSVAVavjd28mR8vXeLnFy5YG58eSBgQfiMUpPh4\noKCAV77Hj3O3774D0tOV/UtbQ9XVnuOm0sIprDrWilutEDVq5D05LeWvf+VHI0NWhHOYNEk8l1by\nQt6SLmgcNowfpT0IIf80aADs3u0d/vTp6nEbmXwGfK9ryMoCpkwBtmzRF55VkDAgDCHVfli6lC8I\nO3GCZ/hXXuHj8gDw5ZfAt996PitUvL/84umupo99662+07N1q/q9nTv5UVpZSCcRAWd10wn9nDgh\nnksr+fpXZkGV1rYqCQNAWRgAvGHTu7e3u1HFienTeU90/XqgbVtlPy+/DPToYSxcsyFhQBiiUyfx\n/Ntvgbg4fr5vH9fEEFAqMIIwGD3a/HSVlvKjtOJ//33eY5Hyt78pp4kILXwtRDx4EJg61XMY8K67\nxHM9FfqePcDGjeL1rFlcs8ioMFiyBGjVis8p1NQYezaYkDAgDCE3ISHVspCiVMkKhejLL9XDlxY0\ntbClCJXCSy8BP/3kbe/o4489ezPLl3vHt3UrUFjoOy7COUiFwaJFyn6mTeO9VSWk+ezyZWDtWt9x\nfvut55oDxoDcXL6qORyw3BwFETnMmyeeP/mkeD5rFvCb3xjb/Um6OE2pFSiYq5DeS0wEkpO9/WrN\nPVy+DGRm8nOydxR+qH1T6RDmoEHKfseMEc979wby8739ffYZ0KQJX4QZ6lDPgLAUxviqz9hYY5Wt\nL4umwn25oFAye6WlqUHDRKGJloCXoqZyrDQX4CsOIW/J8/GKFeGx0Q31DAhL+fBD8Vyr4r14ket3\nC5W8VFtES4joKYRa5q5JGBB6+eknfhTmp8KtJ0k9A8IQRltAgkYPoF14nn0WaN1a1O759FN94cu1\ng5T46iv1e6FmZpjQv9bEKoSV7idP2psOsyFhQFjKs8+K51r2gIRWl1HkpqqN8s03gT1PBJ/YWGvC\nNWrifOZMa9JhFyQMiKChZTvo/ffV74XDeCzhfIwaUNS7U1+oQMKAIAjCD3zY6Aw5XIw5YxrE5XLR\nXskhQFRU+E2cCYTr/wo3wrmn6E8eNKvupJ4BYQiqMAkiPCFhQBAEQZAwIAiCIEgYEARBECBhQBAE\nQcAEYfDggw8iJiYGaWlpqn4mTZqEpKQkpKeno1RYy00QBEE4hoCFwZgxY1BUVKR6v7CwELt370ZZ\nWRkWLlyI8ePHBxolQRAEYTIBC4M+ffqghYZt4pUrV2L0ld1MsrOzcezYMdQ4eYcHgiCICMRyq6X7\n9+9HfHx83XVcXBwqKysRI+yPKGHq1Kl15zk5OcjJybE6eQRBEI6gXTt9/txuN9xut+nxB8WEtXx1\nnEtlCaFUGBAEQUQSeldWyxvK06ZNMyV+y7WJYmNjUSHZd7CyshKxVpkdJAiCIPzCcmFQUFCAN998\nEwBQXFyM5s2bKw4REQRBEPYR8DDRyJEj8eWXX+Lw4cOIj4/HtGnTcOHKPoPjxo3DwIEDUVhYiMTE\nRDRp0gSL1HavJgiCiGDsNsBHVksJQ9idYZVITAR27w48HMp+oYET86AZPPAA4E9bmayWEsQVevWy\nOwUEETjR0fbGT8KACHkKCuxOAUGEPiQMiJAnIcHuFBBE6EPCgCAIwiSeecbuFPgPCQPCL6691u4U\niITrhCIRegSSF+1WYCBhQPiFk8xL2V2ICHt45BHP67w8e9IhJZQbJiQMCEPceScwaVJoZ3oiPJgy\nxfP68mXr42zUSPu+tGGybJmyn/79zUuPmZAwIAxRvz7Qu7c5YTVoYE44gUKCLTSJktVeZvcQ//1v\n4MMPeZ4XuOoq7WekeUnN8NyKFYGnzQpIGBB+YUYFqrcl9+yz4nnHjoHHK2fJEuCGG8wPl7AWq4cH\n77iD94Sl/OpX2s/4mkt77TXl9QT5+fYPd5IwIAxhZoaVhpWUpO7v4YfF88xM7/sNG3pe33ADcPvt\n+tNBPYPwwKy8OX26+r2VK7WfrVdP+37r1sruQ4ZoPxcMSBgQhjGr8nzgAfE8K8vznrTSl8bXtSs/\n/uc/oltGhuezrVrxFpje7TC6dwfKy+1vmRHGkH8vs75fhw7q93wNbUrzqlJ6hAWS1dXG02U1JAyI\ngNCzhP6//1V2/9e/xHN5xT1rlvIzTzzh7V9JOMXFAWPH8vOnnvK+3749P+7cKU4KbtqkHCfhTNQq\nfzt0/Zs350dpXlQaBhXu1w/KTjLGIGFABMS+fb79tGmjfX/MGD4U1KoVv968WX1s1lc3HPAWDjff\n7O3n/ff5MSVFdLtibJcIAZRa6IJwSE/3L8zGjfnRn3kpYTJbOqmtV0Hiuef40e6eKQkDIiD0DBll\nZADJyZ5uX3zhHcbUqVwwdO8OXH21eF8oJNnZol898QrPKdkukj5Pcwahx/z56sNEjRoB119vLLyZ\nM4Fdu/h5z576K2ah9S/4T0zkx3PngKZN1Z+T5rnhw52RB0kYEKYzahQwb56n248/el536+b93MSJ\nwBtviNe7dwPnz4vXxcXahaZZM35U8nPDDd4CiQhNrrmGV6AC48bpf3b/fmX3pk350KKSECguVg9P\nyGtCfu7bl4fhSwXViThWGLhcQFWV3anw5quvgrO4JVQQCsNvfyu6DRgAPPqod6X88cf8OHEi0LKl\n77A7dvTWFNLqGbz0Ej8qjcfu3u0paJzQEhP44gteiRD6ECps4ThqlOe10rf9y1+A118HrrvO013Q\nYpMrMEjp0QNo0kQ7Hbfcws+lee/667ngUuLSJfHcKXnRscIAUJfidtKnD+B2250K+1DrPksth3bp\nwo/yRUGDBwMvv8wFhRQjhUHLb4sWwNatwAcfeKc1KkrffEMg/N//ASdPGn/uk0+AdevMT08443J5\nCwWBvDyez+LiRLf+/UWFAoF58/jQEGPAjTdqx+dr2EgpX7Zooa41dPGi8TisxtHCwKlIpXokolUh\nt2sntrKU/D3+uPdwjT/CwOUC1qwR3Xft4ouE0tO9W38CbdsqxymcB1oY58wBvvnG+HN2VwKhwOHD\nwEMP8XO1uQLhWL8+MGyYd6ND4P/+jx/V7ishj/NPf/LvOQF5HeKE3oEDFZw8C7kTccKHCwXkPQM1\njIzlS4WBdLWn1qI1Adr3IHRZv56rIr/+Or9W6hlYKVSlYZ8+HficgNrwkZ0E3DMoKipCSkoKkpKS\nMHv2bK/7brcbzZo1Q2ZmJjIzM/HCCy/4DHP58kBTRQQLl4urbg4YAOTm8ta59J4vzp4Ffv97Y/Hp\nRalyEBazKYVjppCfMMFz8jsSue02z7UkZiGv/DMzgXvv1X5GOubvj9D44gvgyy/5eXS0f0OO0jRe\nc42YDqX5CDsIqGdw6dIlTJw4EZ999hliY2PRs2dPFBQUIDU11cPfLbfcgpW+1nFLCPWW965dwI4d\nwNChdqckOAjj3atXe7rr6Rn4sgIJKA/pSFuGRhAWB1nNq68Ckyfr67E4haIirtp74IA54a1dyxUA\nBg3iw4dmtNwrK3nL3OXiw36pqfybvv02n89TIy0tsHh9zSn4W2cdPcrnFgD7hwsD6hmUlJQgMTER\nCQkJaNCgAUaMGIEVCib5mMF/aYYwcLn4xFyw+NvfgBMn+Pljj3m2kCMVvcNEvpBmH2neEBYJ+RNW\n+/Zii8ysOYNQZ906880kuFzawuXCBW3VTTnx8eJ5kya80SVg5/cbOZILf6MIgsAJDeCAegb79+9H\nvOTrxMXFYZNsTb/L5cKGDRuQnp6O2NhYvPjii+jcubNieFOnTgUgTMLlXPn5z9atXIPFbJQ+3BNP\nALGxwD33mB+fkzBS4KzI4NIwU1K4TSE1lNLapw/vubVqBZw6FXh65s3jk9aCaqE//9loJfb553wI\nxg4uX+Z6/a+9ps+/y8UXEarxzju8N2L0HRhZdBgMkpN5gzAYuN1uuC1QaQxIGLh0fJHu3bujoqIC\n0dHRWLVqFYYOHYpdwlI/GYIwOHTIP60MOcFuKQjqYk6Q8lYi/X9aY6dm9QyUEL6t0Unh55/nPyX8\n+W6PPQbcdJOnppKVnDzJ1SStyNt6wjx7lk/iagmDzZtFpQBf79RMEyB630kw6wW1Xm0g5OTkIEdi\nnGvatGmmhBtQcY2NjUVFRUXddUVFBeKkyr0Arr76akRfsWaWn5+PCxcu4OjRo5rhmvXSAvno69YB\n335r7JlIUznds8fTbIQcs8bnW7TwDsuuIYFz58R1DFI+/JAflbYDPXgQWLzYnPiDseDxmWfU36+e\nspmVJSqB+PLvb4NBKVy1+ae//tW/OMxA+H+FhdzkhZMJSBhkZWWhrKwMe/fuRW1tLZYtW4YCmSGY\nmpqaujmDkpISMMbQUs/yU4tZvBj4/nv1+3378okvPQgF5+JFPjS1alXAyQsJfG0Is3EjsHdv4PFE\nRwO//GL8OSsExsqV2kOBI0Z4r5z/5z/5UIgvXC4+oaiFkjAYNYpXNmYxfbp6i12YZ1m6FNiyRdT9\nl3P2LD9KK+1jx7wXW6kJg6NHgQ0b9KdZSNN333m7y63W3nILH9INBo0b80Zlfr7nIjgl7J6zCkgY\n1K9fH/Pnz0deXh46d+6M4cOHIzU1FQsWLMCCBQsAAMuXL0daWhoyMjIwefJkvPfee5phnjrFM43V\njBkD/PnPyvd27zYW1qJF4vmVv02AL/4STEWbjZkFJ9CeqDwtgkqprzRu3QocP+7p7/hxY3EBvBJ8\n6y3f6TSCUqUq5YEHgHffVVcdVRImLVpwsxBS1ITBlCl8+C0mhl/L/7fSN2vTRtzvAuC7lCkJq8GD\nuVZSsNCjyeSEoeWAF53l5+cjPz/fw22cxHLUhAkTMGHCBF1hzZzJrRH6a5PowgXgzTfFZedKBWff\nPtGkstoHEAqC3grHiTaUwh2n7J8M+M4nUr34S5dE+zWZmdymk3RPCF+VglpcZrcq9+3jNnnUuHBB\nO62CMJD7kZs8VwtDGHI9eFA7nVokJemf6CYcZo7i6ac9K1a1jOJycY0KOVu3erYE5AVk40beUvWl\nkuiPHZJIwe6urJAGPesTjKZV7v/cucDClOeTuXO9hZh8YdqUKZ7XmzZp756lNZQiH5I5elS9RXz6\ntPaYdrNmQG2tZzq0yoEwnKW0vGjfPnFrSbWegTxseW89ksugVThKGBihrMzbTTp2L1yvXcsX0wBA\n797K/n3x3HM88/3wg39pDTcipSA2bgyUlvrOJxs3el7LhzmF57XmqASWLfO8FvL58OG8tSydM6it\n5UMpAHDmjHdYDRpwzR6B/HxPPX0p8olv+dzEiRPeqrj+5IOvvuINMmE3MkEYaC3O+/FH5d3qwg27\nG1ohJQyqqrjBKoAbmbr1VmV/Qgvn00+BgQN5IfDF+fOiEDlyhB+FjyOoIgq9FmkheOsta9THiOAh\nN363c6d4b906z9ar8K23bFEPT9CrlxdutfF1pUpg+XJu1E/g/fd5hf/yy+Iz0saJYB5cjnQRmTDk\n8uWXfBOWH37gZaWw0D8tJeG9bNvGJ8mlqA2dqikC7N4trmAvL/ccTlIy6xFu5cwJ/yekhEFsLNC6\nNT+/eNFztywpQkaStop80aiRuGr44Yf5sarKszWkVGh/8xtx0u/iReAf/9AfJ2Et/rS0Bgzg31RA\n0NJxucSKGDCmZOArHfKNgADg738HXnnF+1nB/Nc77+jb3lFJkOXkAD/9xNfyPP0015pTsgS6Zo3n\nhK/aJG5GBjB+PNcgElr4c+cqp0drIljYKzs52dNYpRM3jw9HQkIYbN4sqqopsW+fZ2tOsGwIaBfE\nS5c8NYqUzFfosU8vdNGVuuqEfcg3xvGFkFcEsyKAWEEBwMKFxgSMnrwj9HTlCFYxpYJJyqFD6mFK\nzT8MHMhVG0+dAn7+2dOflimHy5eBGTOAZ58V3eTDRHLNp+PHfQtJueqsVBgIk8byuY68PO9wnNCS\nDjccLQz27+djjFlZwP33q/u7+26gc2ftRV/SQi1w+DAgN6I6erTn9QMPiOdqOykJ11auuCWMM3Ik\nn4A1yi+/qOvZG1FJvOsufpQ2TgDP+S414eLvRjw1Nd77OaSne1bqAtIJ406dfKdBvtr7q688r/3R\n8Bo5UjyfO9e/zYHCBbvnDBy5n4HAkiXi4hBhhacSQgtFPkEMiBoQSi0WoeUo/QhvvunpR2qJU/6x\n5OZBzLL2SJhD/fpAr176/UvnDtQWHAobowDK2kZSamr4Jijy8fPkZDEv+duAkFfEAB9bv/tufr5w\noec9I8bgAE9tIaVduQDvFfpGKzOlBXavvKLv2XDrGTjh/zhaGAh62VqcPy9O+Gqh1DOQax/5YsAA\nfhS6y/36eYbj9OXmZmB368UK5FZLDx5Uto0l/e+M+VZRPnuWD7UoIRj3VRIG+/YpT+hKh6/+/W/v\n+xkZ4qSyfJN4ucaTL6RlT2GbEkWE+Ty9CMb9pCj1YIjg4OiBDZfL94Tsyy+rj7tKUdK2EAqc0Qpu\n1ixj/sMNJ7RirOCzz4IXl7DXhdK7bN/ee28IwLc5AzNVn6dMEcvHq6+aF66UQCaGwzUP2omjhYGa\nupyUTz/1P3whs3/9tbHn1q8X1y4Q4cOSJeK5UgNB3jMwAwN7PgWVn38WewZWrbAPx15mINj9Phwt\nDPQM36xf73/4wsu/+Wbjz0rXLpA6aXggN5UgR7oCNxLQO3zqL4FYYA23noET/o+jhUGoY7ekJ/Sh\nVBCVjCVKVTPNsMbqdKzew5nKh7OIaGFgdFKNIAT++Ee7U2A9VveEgmGdmNBPRAsDqwnHlk84/idC\nmWBspOMvThhWMRu7yxYJAwux++NaRTgWRMKbSNu5z06cUKZIGFiIEdtIhH04oSA6EScLA/pm5kPC\nwEIiTfuECC9++snuFBDBhISBhcht0hAEYQ7UMzAfEgYWIl3ERBAEoYXdc4wBC4OioiKkpKQgKSkJ\ns1WMmEyaNAlJSUlIT09HaWlpoFESNmJ3hiWIcMQJPZ2AhMGlS5cwceJEFBUVYceOHVi6dCl2SjcW\nAFBYWIjdu3ejrKwMCxcuxPjx4wNKMGE/Tsi4ZhJu/4cg/CEgYVBSUoLExEQkJCSgQYMGGDFiBFYI\n5hivsHLlSoy+sklAdnY2jh07hhr5hqsEQRCErQRkwnr//v2Il+ywHRcXh02y3USU/FRWViImJkYh\nxKmS85wrP4IgiPBH7xCs2+2GW76ZigkEJAxcOvvXTPYv1Z+bGkhyCIIgQhIjQ5U5OTnIycmpu542\nbZopaQhomCg2NhYVFRV11xUVFYiTGV2X+6msrESssH0ZQTgAmjMgiACFQVZWFsrKyrB3717U1tZi\n2bJlKCgo8PBTUFCAN6/sJVlcXIzmzZurDBERhD2YpSHVvbs54RCEHQQ0TFS/fn3Mnz8feXl5uHTp\nEsaOHYvU1FQsWLAAADBu3DgMHDgQhYWFSExMRJMmTbBo0SJTEk7YA6mWqpOVBWzZYncqiFDF7rIV\n8B7I+fn5yJfu9AIuBKTMnz8/0GgIBxFuwypmFcJwey9E8HBC3qEVyARhEkqb2xNEqEDZlyBMwgmt\nO4LwFxIGRMRj1iYuJAyIQLB7ziCshUHjxnangAgFSBgQduOEvBPWwmDgQHvjHzDA3vitwO7WixWE\nqzBo1MjzOjoauPHG4MR9773mhicxYkBYRFgJg9at7U6BJ06rHMwi3P6XWTt6OeG93HyzeC4X3B98\nAGzcGJx0vP22ueF9+CGQl2dumIQnISEMrrsO6NLFt79hwzyvg9mKzcoKXlyEuUh7Bn/+s/f9wYP1\nhRNsYaC0dlP6X+Q9nmD1lO+4w/9nr73W261ePaBnT+Duu/l5uGJ3rzskhMH+/eoFLToa6NePn8tV\n+8zq/uvh9tu93ez+uIQ+pD0DpW/WubO+cIQ8+vDDgafJX6R53q789+CD/j+bkODttn49P44dC1y8\nCISj0WMn9CodLwy0xt3vugs4fRqYMyd46SHCD6MF8euvtcPp2VP7+SFDPK/V/F9ZyG+IFi3Ec38q\n5ZEjjT9jJu++6y3E5L2BNm2Cl55IwvHCQPjwzzyj7qdHD36UF2qlllFlZWDpue8+ZXd53HZPXhP6\nSU425l9mi7EOoWfqS7g8/bTndVoaPwr5WEA+ASxHKX+/+y4/LlgA/POf2s/Lqa0FZMYD6njySWNh\nSVGqvJWGgwAgKcnbzQmt5kjAUcLg//0/b7dHHuHH4cN5TwAAWrXiR3lhkA8TKRWWhg293Yz0LF54\nwfN65kx+lGfYG280t5t+8aJ5YQVCOA59Sb/dnXfyuae//110k09cKlVORUXAqFH64qsvMwIjvFNf\nlb8cpW/RvDk//upXxivRBg3UtXbS0/WHI49XaVjn/fe93ZYv1x9HOGJ32XKUMJB3l3NyeKYWEAqR\n0rL/sjLvdQV6X66eVs/11/Nj69a+x5DnzAEyMvTFrYfvvuMF1SmEc0stM5NXShMnim5t24rnV12l\nnP/y8sTK/LrrPO/JJ3qVGg4AcM89nu6+8m+TJur3/P1GHTp4Xs+YwY9GhIEelP6bXAFEQP4+wxEn\nlClHCQNfmX/+fG4VUiogBBITvZ+3QtJGRwPbt/PzgQPFOKQf88kneaWxZo05aaiuDjwMwhy++spz\nDPvgQe+toFaqAAAYiklEQVRem7yx4CsPCMJF6Pmq0bUrP86bBxQUALNm+U6vgK/KRi0sIe1C3L64\n6iqxJyXZf8WLDh2AP/0J+Ogj32G2a6cvbiIwHCUM5Mg1C1q14i236Ghl/1rC4PHHPe/5Wp0srYCl\nuttSOnbUDgMADhzw7ccX/rQa/ve/wOONdH76iR+l779bN++egSAcBH9qcwpqCPlUnn+F8J54Amja\nFFi8mF/37g2sWKGvZzBhAj/66lmqTRwrNXa0uP12sQf/4ovq/ho25EOuQ4fqC5ewHscKgyNHjE+A\nCZnwtde876Wm8qOQqefO1Q6rVSvg7FmuqqdWsbpcngVY2mIU4rGj+1dbC9xyS/DjDTeEIZNmzcSh\nxIYNgWuuEdcjSAWD8K3l2i+B9g5ffBE4dkwcrlILb+FC77QMH86P33+vHYd8KCYqioeXlwfcdBN3\nC7TiHjtWPJe/I7UhIiWVbcIaHCsMWrbkXU4t5IXi0Uf5sW9f3vJ/7TVRR1ma+RgThYMa9erxMWCX\nS71Cl7rr8RMs7J6ICkX+9S9l93PneEUprQijooDnn+cqpoIygxbC91BSky4sVH4mM1M8d7l4fpTv\nFivPW02beofTpw9w/ry3ls4DD3heS4XaqFF8rcRvf8sXU371FXfXM6QjRZ4PBWE2YYL3PIrZcxKh\niN3l1rHCQAu1lyZM4CUnA2fO8LHG3r2BX/9aXJjmKwwBPZV4w4ae3WirPqZRgWJ3pgpF1HTXhQaJ\n0jfQu+pcCOPWW/lRWqlL94USvlvz5v7tmCb0AgDP9Cpp0CUmel5L/b/zDvCPfyjHkZ3teS3XjNKD\nXFHk4kV11fFIycs0gSxD+PAffKDPn2yDNdW5hP/8R5x/EF56oJns66+BZ58Vr+XjyGZ+XCdkFIFI\nKZz+oPSdOnbkvdOdO0U3qXYS4HvOQI7cvzCEpTRkpcTp08Af/6gvLjmjR+t/Ti2vyJ+pV8/bLZBV\nzIR/OEoYCOjNmA895HndqJHvDKhW8IySleXZLXfSMJHVhON/8kWHDr5bwdL3Itgz2r0baN8eSElR\nf07Ii0Jjxlcelafjjju8VzVrrVmIjvZ/V7bx48Xzd9/1TxjIe+lKCMN21PgIHn4Lg6NHjyI3NxfJ\nyckYMGAAjh07pugvISEB3bp1Q2ZmJnr16qUZZvv2/qZGP0LmuvFGc5e1qw0Tbdrkf5jnz3O7OXoq\n3xMn/I+H8E3btsCFC9p+pN/p44/5pK8UXxWbnvmHkhJxDYsQX+/ewMqVop+ff1a28WMmN93ENZD8\naRgYMUd99dXGww9V7BZ8fguDWbNmITc3F7t27cJtt92GWSqKyi6XC263G6WlpSgpKdEMU+g++8pg\nakvZ9SC88Kuu8mzlSPGleaEUnlwYCP/h1782nkaBVq1E1UBfNGsGnDrlf1yE+TRr5nlttLArlYOe\nPUV3tWFRYYGkXl5+2Zh/KVo9jEArt7Iy9Yn9cMMJvW2/hcHKlSsx+soA4ujRo/Gf//xH1S8zkCt6\n9/Zt6GvOHN768Qc9SVEyl+3rY0VFcQ0lvXZuGAM2bND2c/o08O23+jOKr5arUdxuc8OLdOSVt1xY\nGCUnB/jhh8DCuPZa7zU4RpDnTenwlNRonj8kJgb+jgj9+KELwKmpqUHMFf2wmJgY1KjYlXW5XOjf\nvz/q1auHcePG4be//a1qmFOnTkVuLm8N5OTkIEdlCWN0tPHWj4CaWeu1a0VtDyNIewYlJfpbQyUl\nvKvty7+RzUiEgmnUdPeJE1x3XsqlS3xs1+6uayjhS2iPHy+Ol3/+uWiGQm2x5LBh2vMULhfQqZN/\naQ2E7t1FQ4zS/7xtm+eCu+Rk6q1agdvthtuClpqmMMjNzUW1gi2E6dOne1y7XC64VErC+vXr0a5d\nOxw6dAi5ublISUlBnz59FP1OnTpVZ7LNp18/vj7BaHdtwgSuVRQVpT6hPHAg0L8/X0kKcFU6I7tr\nVVUZS9OaNfr97t7NddD1VvokHNTxlXcaNuQrmAF9DY/oaPtNSiuxebN4Ll+dLUe6SprMSmijt2zJ\nG8rTpk0zJX5NYbBGo1aJiYlBdXU12rZtiwMHDqCNymxsuys5oHXr1rjjjjtQUlKiKgyCgfSFy1/+\nF1+oPydvOQu0bAmsXs2Ht9RYtQo4fFgUBg0acLssUu67j680lasdAvoFh1Awz53T5x/wnuQ0Eg/h\nSYcO3ExEKBHot/znP4Hf/c53Pjp6lPdypAYACREnlCm/5wwKCgqwZMkSAMCSJUswVGGt+pkzZ3Dy\n5EkAwOnTp7F69WqkCcbbbUIqAOQtmago9QmxTz4Bdu1Svpebq20nRoj366/FuY69ez3vv/OOutkL\no61xI/4Fv2o2lKgnoB+XixuQM0owDCxaxb33AidP+t6OskUL/9VZCU8OHLBGW8zvzzNlyhSsWbMG\nycnJWLt2LaZMmQIAqKqqwqBBgwAA1dXV6NOnDzIyMpCdnY3BgwdjgNbWZUFAWtCGDdNf8K6/Xnnj\nDSPx9uqlvT8sY1y99tAhfWGePi0+Jw/HKNddB+zYYfw5wly2bePzSURk8sILniMU27Z5+/nhB/8V\naLTwewK5ZcuW+Oyzz7zcr7vuOnz66acAgA4dOmDr1q3+p84CgtXqUtt1TWtBEWPAvn3cWmbr1trh\nHz/OzRYwph5mbi6fP6is5LZfjhzhJpfr1VPeIOjMGeX0Sv/LV1+p74YVyjhlvwilcXcrccLwBMFh\njBtAHDCAz2Hm5/NNk3xt4mUWEddxc1oXvLhYlPJqaZO6v/46H6eVzgsI2kNyofDZZ9wMwo8/8jFb\ngGufyO3LCOhd3Pbf//r2F2rk5gLr1tkTt9PypFX4Y8coUlAyellU5OlHmJexShhE3OfxNbZpFYLh\nMbl9eOlGPb7MEDz3HLeWCYjDTcePe2+uIlUt7dsXeO898frYMb6yWR6nGkr3jWhChQpRUer7VoQr\nf/lLcDeXv+qq8Mw7ZqPUKKus5Cu3pT31jRuVN/ryl4gSBlu3epsBDjZX5tMVke67q8Srr3q7de8O\n7N/Pz/UaBlND6s8sG06Eb+x6x2qWQq2EJpGNw5hnvSG8w969eZ1mFhH1aYJpM12tgO/Zo/5McTE/\nqmmkKBWkPXvElr4wASxXn5ULoLNnRUNqUhYs4Cqwp07xISY1SEAQhPmo7Sp39qynpqG0HjBzr/WI\n6hk4Ca3W+uHDntdCJjl+XDvMPn2AX37xXoH82GP8KHVfvdozbIDvbLVwITcBIMQlvX/woHb8hH/c\ne6/yxjRE5KBVH3TrJm7BetttXOPICiKqZxDqSMf61TJPTQ3XGpIimASQzh0IKLXy1YSOsDsV9QzM\npXlz730CiMiCMa7oAfCyXVEh3hMEAcDN5lgF9QwsItAKU2p0Timsykrl5+R286UTTtJK/sIFfWlU\nU4ElCMI8VqzgRikBXl61bK9ZVf6oZ+BQ7r9fPFfa9alHD+NhynsT27dTxU4QTsCIQb/77rMmDSQM\nLCJQFbrt281Jx9Gj3sNGAnoEwcWLnhunALRQiSCs5MqaXVXKy62Jl4SBRfjaW8BXRWxkgx29SPfh\nFfC1eY7bzTfo8bUvNUEQ/uOEBhYJA4uordW+b8fHnzfP85ox33rKzz7Lj/fcI7oZ3S+BIAhtnDBc\nS8LAIszedcwKtBbACUht1wuQMCCI8IOEgUX4EgZvvx2cdGjhr/kFufkLgiBCHxIGFuFrmCiUIfsy\nBGEuNGcQxoRzhXlluwqCIEyC5gzCGCd8XKvIzbU7BQRBmA0JA4sIZ2HghC4tQRDmQsKAMAwJA4Iw\nFyeUKRIGFkE9A4Ig9OKE+sJvYfDBBx+gS5cuqFevHrYI23gpUFRUhJSUFCQlJWH27Nn+RhdyOOHj\nWgUJA4IIP/wWBmlpafjoo4/Qt29fVT+XLl3CxIkTUVRUhB07dmDp0qXYqWQTgQgpSBgQRPjhtwnr\nFLmtZAVKSkqQmJiIhIQEAMCIESOwYsUKpKam+httyBDOPQPaupAgzMUJDSxL9zPYv38/4uPj667j\n4uKwadMmVf9Tp06tO8/JyUFOTo6FqbOWcBYGTsi4BBFOGKsv3Fd+5qIpDHJzc1FdXe3lPmPGDAwZ\nMsRn4C6DtYZUGBDOhYQBQZiLMWGQc+UnMM2UNGgKgzVr1gQUeGxsLCok+7dVVFQgLi4uoDBDBeoZ\nEAQRSpgy+stUar6srCyUlZVh7969qK2txbJly1BQUGBGlI6HhAFBEKGE38Lgo48+Qnx8PIqLizFo\n0CDk5+cDAKqqqjDoivGa+vXrY/78+cjLy0Pnzp0xfPjwiJg8DndIGBBE+OFias36IONyuVR7GKHI\n3/8OTJpkdyqs4exZoFEju1NBEOHDkCHAJ5/4+7Q5dScpCVpEGMk1L6hnQBDhBwkDiwjnCjOc/xtB\nRCokDCzioYfsTgFBEIR+SBhYROPGQLjOlTdsaHcKCCK8cMKwMgkDC+nTB2jf3tOtvqVrvq3HCZmW\nIMINf8uV/5PO3pA2kcUw5mnLZ/hwYNky+9ITKGH4iQjCdkpKgOxs48/98AOQkkLaRCGBfLLV6Df7\n5hvz0kIQhDO5YsvTVkgY2Midd/r206OH9emQM3hw8OMkCMI4119vXlgkDIKMtGcQbBVNLUsgN9wg\nnrdubX1aCIJQJjHR2+38eWW/jRubFy8JgyATDGHQqpWyu1aLn9YOEIQzuOYab7dgaPCRMAgyzz8v\nnj/zjDVxXHWVsrvW2ge5MPjd78xLD0EQzoeEQZCRrj3o1Ek8z8w0Lw6lVr7Lpd36nzIFePJJ8Vpp\nN7MIMThLEBEJCYMg8PHHyu716vFjfDzQs6d/Yc+cqc+fr2Gghx4C5szh54x5+r/nHn60qidDEJGO\nnuHjpk2tTQMJgyDQtau3W+fOQIMG4vXVV/NjVZWxsPPyvN1WrDAWhhw19dcWLQILlyAIZYSGIaAu\nDKye1yNhEAQSEoARIzzdpJNELhefS9i5E2jXTjusGTOA8nLxOioKePxxTz89egB9+yo///TT+tJM\nm94TRPC49lpvt5YtjfkPFCryQeLyZfF8925g5Urx2uUCoqOBlBR+XVkJ/PQTsGuX6EfQJ+7c2XOB\nSkIC8OKL3vF9+aXntdDanz7dd1oZA5R2J6XVxwQRPNQq/O7drYkvxC3lhA5SYdCxo+c9efcvNtb7\n+TZtgO3bgSZNRLetW4FmzfTFL+2GfvopcGUzOkXS08kYHUE4lc2bgTvuAPbsMTdcEgZB4vHH1a2Y\n6h0LlE8gGRlDlM5PDBwonp8546mKKgitI0eAP/0JOHFCfxwEQQSOnnL94Yfmx+v3MNEHH3yALl26\noF69etiyZYuqv4SEBHTr1g2ZmZno1auXv9GFPL17e64xkGLlxNArr/Cj3HqqQOPGnvMDggrqtdcC\n1dXAd9+J9+LjrUsnQRCc118H3G4+P3jLLaL7118D27bx86go8+f1/O4ZpKWl4aOPPsK4ceM0/blc\nLrjdbrTUmg2JcPwVBnqeS0sDamq8TWcvXgwMGKD9bOPGnppQtO8xQVhHVBRw661At26iW6NG4vyf\ndF2SFfgtDFKE2U4dhKNpajMxQxh068Ynno8e9fbXpo232+jR/sVJEIQ1HDxob4PLcm0il8uF/v37\nIysrC6+99prV0YUkZgwTbdsGfP89UFxsftgEQVhPq1aeCiJAcDX4NHsGubm5qK6u9nKfMWMGhgwZ\noiuC9evXo127djh06BByc3ORkpKCPn36KPqdOnVq3XlOTg5ycnJ0xRHKzJ4NdOig7cftBq67ztMt\nK8t7HqBdO9/rFAiCCG3cbjfcbrfp4Qa801m/fv3w0ksvobsO5ddp06ahadOm+P3vf++dkDDd6cxO\nXC7giy+AQGXq8OHA++/TOgOCCDYff8xtgmmVPbPqTlOGidQScubMGZw8eRIAcPr0aaxevRppaWlm\nREnohHoKBEHowW9h8NFHHyE+Ph7FxcUYNGgQ8vPzAQBVVVUYdGVFU3V1Nfr06YOMjAxkZ2dj8ODB\nGOBLhYUwDcas10AgCMI6+vYF/vCH4MQV8DCRWdAwkXOhYSKCcC6OGiYiCIIgQhsSBgRBEAQJA4Ig\nCIKEAUEQBAESBgRBEARIGBAEQRAgYUAQBEGAhAFBEAQBEgYEQRAESBgQOrjpJqBFC7tTQRCElZA5\nCoIgiBCGzFEQBEEQpkHCgCAIgiBhQBAEQZAwIAiCIEDCgCAIggAJA4IgCAIkDAiCIAiQMCAIgiAQ\ngDB46qmnkJqaivT0dNx55504fvy4or+ioiKkpKQgKSkJs2fP9juhkYTb7bY7CY6B3oUIvQsRehfm\n47cwGDBgALZv345t27YhOTkZM2fO9PJz6dIlTJw4EUVFRdixYweWLl2KnTt3BpTgSIAyugi9CxF6\nFyL0LszHb2GQm5uLqCj+eHZ2NiorK738lJSUIDExEQkJCWjQoAFGjBiBFStW+J9agiAIwhJMmTN4\n4403MHDgQC/3/fv3Iz4+vu46Li4O+/fvNyNKgiAIwkTqa93Mzc1FdXW1l/uMGTMwZMgQAMD06dPR\nsGFDjBo1ysufy+UylBij/sOZadOm2Z0Ex0DvQoTehQi9C3PRFAZr1qzRfHjx4sUoLCzE559/rng/\nNjYWFRUVddcVFRWIi4tT9EsWSwmCIOzD72GioqIizJkzBytWrECjRo0U/WRlZaGsrAx79+5FbW0t\nli1bhoKCAr8TSxAEQViD38Lg0UcfxalTp5Cbm4vMzEw88sgjAICqqioMGjQIAFC/fn3Mnz8feXl5\n6Ny5M4YPH47U1FRzUk4QBEGYB7OZVatWsU6dOrHExEQ2a9Ysu5NjCWPGjGFt2rRhXbt2rXM7cuQI\n69+/P0tKSmK5ubnsl19+qbs3Y8YMlpiYyDp16sT++9//1rl/8803rGvXriwxMZFNmjQpqP/BLPbt\n28dycnJY586dWZcuXdjcuXMZY5H5Ps6ePct69erF0tPTWWpqKpsyZQpjLDLfBWOMXbx4kWVkZLDB\ngwczxiL3PTDGWPv27VlaWhrLyMhgPXv2ZIxZ/z5sFQYXL15kHTt2ZOXl5ay2tpalp6ezHTt22Jkk\nS/jf//7HtmzZ4iEMnnrqKTZ79mzGGGOzZs1if/jDHxhjjG3fvp2lp6ez2tpaVl5ezjp27MguX77M\nGGOsZ8+ebNOmTYwxxvLz89mqVauC/E8C58CBA6y0tJQxxtjJkydZcnIy27FjR8S+j9OnTzPGGLtw\n4QLLzs5m69ati9h38dJLL7FRo0axIUOGMMYit4wwxlhCQgI7cuSIh5vV78NWYbBhwwaWl5dXdz1z\n5kw2c+ZMG1NkHeXl5R7CoFOnTqy6upoxxivITp06Mca4hJf2kPLy8tjGjRtZVVUVS0lJqXNfunQp\nGzduXJBSbx2//vWv2Zo1ayL+fZw+fZplZWWx77//PiLfRUVFBbvtttvY2rVr63oGkfgeBBISEtjh\nw4c93Kx+H7baJorkdQg1NTWIiYkBAMTExKCmpgYAn3ORalwJ70TuHhsbG/Lvau/evSgtLUV2dnbE\nvo/Lly8jIyMDMTEx6NevH7p06RKR7+Lxxx/HnDlz6hayApFdRlwuF/r374+srCy89tprAKx/H5qq\npVZD6wo4Lpcr4t7FqVOnMGzYMMydOxdXX321x71Ieh9RUVHYunUrjh8/jry8PHzxxRce9yPhXXzy\nySdo06YNMjMzVc1MRMJ7kLJ+/Xq0a9cOhw4dQm5uLlJSUjzuW/E+bO0ZGFmHEG7ExMTULeg7cOAA\n2rRpA8D7nVRWViIuLg6xsbEeJj8qKysRGxsb3ESbxIULFzBs2DDcf//9GDp0KIDIfh8A0KxZMwwa\nNAibN2+OuHexYcMGrFy5EjfccANGjhyJtWvX4v7774+49yClXbt2AIDWrVvjjjvuQElJieXvw1Zh\nEMnrEAoKCrBkyRIAwJIlS+oqxYKCArz33nuora1FeXk5ysrK0KtXL7Rt2xbXXHMNNm3aBMYY3nrr\nrbpnQgnGGMaOHYvOnTtj8uTJde6R+D4OHz6MY8eOAQDOnj2LNWvWIDMzM+LexYwZM1BRUYHy8nK8\n9957uPXWW/HWW29F3HsQOHPmDE6ePAkAOH36NFavXo20tDTr34c50x3+U1hYyJKTk1nHjh3ZjBkz\n7E6OJYwYMYK1a9eONWjQgMXFxbE33niDHTlyhN12222KamLTp09nHTt2ZJ06dWJFRUV17oKaWMeO\nHdmjjz5qx18JmHXr1jGXy8XS09NZRkYGy8jIYKtWrYrI9/Htt9+yzMxMlp6eztLS0thf//pXxhiL\nyHch4Ha767SJIvU97Nmzh6Wnp7P09HTWpUuXunrR6vfhYozsQBAEQUQ6tNMZQRAEQcKAIAiCIGFA\nEARBgIQBQRAEARIGBEEQBEgYEARBEAD+P5hhlhV1uR4/AAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noisy = signal+0.2*randn(len(signal))\n", "plot(noisy[:5000])" ] }, { "cell_type": "markdown", "id": "8ae67ab9", "metadata": {}, "source": [ "How do we carry out the decoding? Remember that the value of each bit is given by the direction of the transition (-1 to 1, 1 to -1). We can find those transitions by taking gradients of the smoothed signal." ] }, { "cell_type": "code", "execution_count": 137, "id": "0322fc80", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 137, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAD9CAYAAACiLjDdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGQqFQqFQWPL/ATdxWZB9SYzAAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = 1.0*signal[::16]\n", "d = filters.gaussian_filter(d,16,1)\n", "plot(d[:1000])\n", "plot((amax(d)*signal/amax(signal))[:16000:16])" ] }, { "cell_type": "markdown", "id": "478c4ad7", "metadata": {}, "source": [ "Now we still need to find the locations of the transitions. We can do this by filtering the absolute signal." ] }, { "cell_type": "code", "execution_count": 138, "id": "427b7c37", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 138, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD9CAYAAABeOxsXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "s = abs(1.0*signal[::16])\n", "s = filters.gaussian_filter(s,32.0)\n", "plot(s[:1000])\n", "plot((amax(s)*signal/amax(signal))[:16000:16])\n", "plot(abs(1.0*signal[:16000:16]))" ] }, { "cell_type": "markdown", "id": "bad5250d", "metadata": {}, "source": [ "Now we look up the sign at each of the locations of the peaks of the absolute signals." ] }, { "cell_type": "code", "execution_count": 139, "id": "e059787e", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0\n", " 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0\n", " 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1\n", " 1 0 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1\n", " 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0\n", " 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1\n", " 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1\n", " 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 1 1 0 0\n", " 0 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0\n", " 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 0]\n" ] } ], "source": [ "locations = find(((s>roll(s,-1))*(s>=roll(s,1))))\n", "signs = d[locations]\n", "bits = 1*(signs<0)\n", "print bits" ] }, { "cell_type": "markdown", "id": "0369771e", "metadata": {}, "source": [ "Finally, we decode the recovered bits to get back the original text." ] }, { "cell_type": "code", "execution_count": 140, "id": "ecbf2f2d", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The quick brown fox jumped over the lazy dogs.\n" ] } ], "source": [ "print decode(bits)" ] }, { "cell_type": "markdown", "id": "0c84e561", "metadata": {}, "source": [ "Now let's wrap all of this up in a couple of functions." ] }, { "cell_type": "code", "execution_count": 141, "id": "cb67c6c8", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The quick brown fox jumped over the lazy dogs.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD9CAYAAABeOxsXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCAMAgCEMAADGmBdDOPat9K2LagAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def signal_bits(sig,subsample=16,nplot=0):\n", " sig = 1.0*sig[::subsample]\n", " d = filters.gaussian_filter(sig,16.0,1)\n", " if nplot>0: plot(d[:nplot]/amax(d))\n", " s = abs(1.0*sig)\n", " s = filters.gaussian_filter(s,32.0)\n", " if nplot>0: plot(s[:nplot]/amax(s))\n", " l = find(((s>roll(s,-1))*(s>=roll(s,1))*(s>amax(s)*0.5)))\n", " signs = d[l]\n", " return signs\n", "\n", "def signal_decode(sig,subsample=16,nplot=0):\n", " signs = signal_bits(sig,subsample=subsample,nplot=nplot)\n", " bits = 1*(signs<0)\n", " return decode(bits)\n", "\n", "print signal_decode(signal,nplot=1000)" ] }, { "cell_type": "markdown", "id": "b63f8464", "metadata": {}, "source": [ "# Frequency Modulation" ] }, { "cell_type": "markdown", "id": "9bb1bb6a", "metadata": {}, "source": [ "Now we're going to perform frequency modulation.\n", "\n", "Note that we change the instantaneous frequency, but accumulate the phase over time. If we just change the frequency discontinously, we'd get jumps in the output." ] }, { "cell_type": "code", "execution_count": 142, "id": "510ef36e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def modulate(f,b,signal):\n", " \"Frequency modulation.\"\n", " fs = f+signal*b\n", " phis = add.accumulate(2*pi*fs)\n", " signal = sin(phis)\n", " return signal" ] }, { "cell_type": "markdown", "id": "636bd1ab", "metadata": {}, "source": [ "Now let's create a modulated signal." ] }, { "cell_type": "code", "execution_count": 143, "id": "9a3bcf05", "metadata": { "collapsed": false }, "outputs": [], "source": [ "freq = 0.1\n", "b = 0.02\n", "modulated = modulate(freq,b,signal)" ] }, { "cell_type": "markdown", "id": "d854c67b", "metadata": {}, "source": [ "Let's add some amplitude modulation as well, mostly to show that frequency modulation is robust to such disturbances." ] }, { "cell_type": "code", "execution_count": 144, "id": "58f4b90f", "metadata": { "collapsed": false }, "outputs": [], "source": [ "am = filters.gaussian_filter(randn(len(modulated)),10.0)\n", "am /= amax(am)\n", "modulated *= 1.0+0.3*am" ] }, { "cell_type": "code", "execution_count": 145, "id": "97357dc4", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 145, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD9CAYAAABeOxsXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztfXucVcWV7negG5CHoEZa7MYgNAoCNhgMiQmmTUQDKsoY\nE0yiRI3DNT6uGZPoxMwVEiUwMZMx4jjGqBf1RlHHB6NA1DH4HOhR0EQxESNo8/RJ5CF2073vH2Vx\n6tSpx6q965w+Ta/v9+vfOWef2lVr19l7fWt9q/buXJIkCRgMBoPRpdGtow1gMBgMRseDyYDBYDAY\nTAYMBoPBYDJgMBgMBpgMGAwGgwEmAwaDwWAgAhmce+65qKmpwZgxY4zfL1u2DP3798e4ceMwbtw4\nXH311VmHZDAYDEZkVGXt4JxzzsHFF1+Ms88+29rmS1/6EhYtWpR1KAaDwWCUCJkzg4kTJ2K//fZz\ntuH72hgMBqOyUfKaQS6Xw3PPPYeGhgZMmTIFq1evLvWQDAaDwQhEZpnIh6OOOgrNzc3o3bs3lixZ\ngtNOOw2vvfZaUbtcLldqUxgMBmOvRAz1peSZQb9+/dC7d28AwOTJk9Ha2or333/f2DZJEv6L8HfV\nVVd1uA170x/PJ89nJf/FQsnJYMuWLXsMbmpqQpIk2H///Us9LIPBYDACkFkmOvPMM/Hkk0/i3Xff\nxeDBgzF79my0trYCAGbOnIn77rsPN954I6qqqtC7d2/cfffdmY1mMBgMRlzkkph5RgbkcrmoKU9X\nxrJly9DY2NjRZuw14PmMC57PuIjlO5kMGAwGoxMjlu/kx1EwGAwGg8mAwWAwGEwGDAaDwQCTAYPB\nYDDAZMBgMBgMMBkwGAwGA0wGDAaDwQCTAYPBYDDAZMBgMBgMMBkwGAwGA0wGDAaDwQCTAYPBYDDA\nZMBgMBgMMBkwGAwGA0wGDAaDwQCTAYPBYDDAZMBgMBgMMBkwGAwGA0wGDAaDwQCTQQGamzvaAgaD\nwegYMBl8gnffBQ45BPj+94Fjj+1oaxidAY8+CmzZ0tFWMBhxwGTwCT74QLw++STw9NMdawujc+DE\nE4F/+qeOtoLBiAMmg0+QJIWvjM6DJAFyOaCtDWhtLe/Y/fqJrLLc43Y27NoFvP02sGIF8MtfdrQ1\nDBOYDD4Bk0Hnxc6d4rWtDejRA/joo/KN3acPcOCBwE9+Ur4xOyNmzgRqaoA5c4Af/KCjrWGYwGTw\nCZgMOi/+9jfx2t4uXnftKt/YPXqI1zffLN+YHYG1a7Pt/9pr4rV79+y2MEoDJgMA990HvP56R1vR\ntfHSS8D776fbd9s28drWVviaBhs3hskYMnjYvTv9mJWOl14Chg7N1seOHeK1qiq7PXsLtmwBtm7N\nf965s2MXJHQqMtixA2hpSbfv7t32iPGMM4DrrhPvOTPoGIwdC3zve2H7vP66kGhkRiBfszjm228P\nkzFijFnpiOGgpHRXXZ29r70FgwaJRQgSf//3wEEHdZw9mcng3HPPRU1NDcaMGWNtc8kll2D48OFo\naGjAqlWrUo3z9tvAqacCn/98Wjvd+8qTVJLBlVfu/al/pSE0M/jTn0TxVjpkmRFQHPP8+cCll4qs\n4u2389u7Ea6IH/0I+PBD8V6eL1mykUqHPNYYqHSZKEmAs87yt7vnHuDQQ7OPtXFj/vOmTeJ15Eix\nvP2MM7L1H4rMZHDOOedg6dKl1u8XL16M119/HWvWrMFvfvMbXHDBBcFjPPecKD4tWwasXJnOzuXL\ngRdfzBcbAfFjyIhFrxnMmQNcf326sWKhpQV4662OtSErdu5MHzW/+WbhxaJDOhbdIVNW9lx9tcgG\nv/Y1cW69+SYwdy6NDH7xC+C//7tw7FJnBq2tHUc4McbN5cRrDJlo06Z8ABAbLS3AnXf62z3xBLBu\nnXj/9tvhN6zK9vI4br01f63/+c9ieft//VdYn1mRmQwmTpyI/fbbz/r9okWLMGPGDADAhAkTsHXr\nVmwJzDt1h/CHP9Avvq1b8yciIFZ/LFwo3p9/fp7dTQXkcq5KMeF3vwM+/emOtSEr+vQRkfQJJ5gv\n4D//GbjkEvO+hx4KfO5z9r51MpDnBIUMtm8XrzIau+km4B//kUYGQN5BpiGDJMmTCRXDh4uINUnK\nL2XK66e1FfjXf83WR4zM4OCDaQ47DajEp/qUxkZxw+r999PHOeQQ8bp7t5A7zzuvuG5JPRdjoeTD\nbdiwAYMHD97zua6uDuvXr0/Vl7wIvvxl4IEHaPu88UbxtldfFfWHlSvzemglriZ65524/SUJ8Mor\nIvopVWRlwksvAY89Brz3XvF3v/pVPgNrbQWOO67wt5A3A5rgIoNDDhEykg16QVNKIVRnpZNBSPT8\n3HPAMcfQ2wMic1m+HLj4YrM88ac/ASNGhPVJhXR8f/6zuEPfhdZW8zUkHVusArK8Nq66SmR0ixfb\n2+7eLa55APj5z4GGBnEdmKD/riY8/DDw17+K9zfckPchp59Ot1/i7bcF0dtseeKJ8D7Toiy1/USb\n2ZxKqwpmzZq1531jYyMaGxutfWZZPtjcDPTtK06KvI2Fr3sjnnpKRDGnny6WCr7wQnGbww4T8snk\nyfHGdc2tuiDgo4/ETUkbNwK1tWKbi7Sk49ZrBi0t4jd+5RVRmH7qKeALXzD3IZ2TJIcYmYGsNZmy\nug0baP3bxnz4YXMta/ly4C9/ofWzbRuwzz5inyFDgLo6c7tHHxVZnbyHguLIe/QAbrwR+F//q3C7\nvOSzRLu/+53Q04H8vP/0p+K1oQGYMsW83623ivsckgR45BHgj38ERo8uPh9bWwsL3XPmiOPXccop\n+fcXXZT+eHzYuhX4ylcK7XzySSBJlmHZsmXRxys5GdTW1qJZEdTWr1+PWnmla1DJQIU8kVQO2bUL\naGoCPvvZcJvkUkQTYpHBrl3igvvb34B99w3fv0cP4Oyz49giIU/0J56wR9xr1ogos1xkYGqnyjyu\niNuWGcjPAwYIonj++WIyyOVEO+ng5D6qs3r+eWD8ePPYrgiyoUEcgyQYiWefBb74RUF4adDWVtyn\nRIiT3Xdf4PLLgXnzxGoWW8nv8cdFVhca1b/8cvE2S/wXhG99Czj+ePH+448LZVxb0PDRR/lz/dZb\n3dLvxIn5RQxtbcD//E92m2OivV0Ec+3thYHy7Nmzo/Rfcplo6tSpuP322wEAy5cvx4ABA1BTU2Ns\nO39+sd47f755adsf/gBMmOAf3+SI5Hv1BHK1C0WSiJMVcMscLrS25m+m+v73gTvuEO+feiofNYfg\n/ffzxyuPa8QIQaiASLW//vV0tvogx12zxv3cJ9Nv0N4u/lyavL68U36WK8TUc+q994RD0B2cHnCs\nWQMcfbR9TJ0MkkREkf/0T6IesXMnsGoVcO21+X2kOqo6VZPjdI1pOyclMe7eDZx0kr+vzZvz7W3Q\n58ZEBs8+K2z69a/zBVVTnzoZvPeeiLxDIQOrn/xEZDUStnkZMgS44grx/rzz3AtQXnxR/O6+PtNi\n06ZsxfhSqxeZM4MzzzwTTz75JN59910MHjwYs2fPRusnV9/MmTMxZcoULF68GPX19ejTpw9uu+02\na18XXwyMG1cYxV18MXDyycVtqZOahQy2bxdjP/wwbSyJI48UUYbeXyjkxfev/yoIoLlZXFSuFTY2\nHHCAKJir+MtfhH7d0iK0T+msNm4U9sd6YJ+cgx/9SBRObYQr37/yCrBkiXjf1iYKu/Pn56Pi9nah\nX+s3memZgUnC+dSnhEwmnZMkDEkOch+TnPPhh3lnJMdUz6Ff/ALYf3/hmNvagNmzgYceEtsuuwz4\n538W7dRsZMwYETAMGFA8no729mKn+tZb4ia5z3xGfN6yxa2fS/TrJ15dxXadDOQctbXlyeeLXxTZ\nw//+32KZr97nbbeJOdMzl4ULxfLtH//Yb+uqVWKeALEgQUJdEqz+Dtu2iXPloIMK27gwd27x3Mau\nqx18sJC1zj03fN9rrwWuuUa8f/NNcWxbthQSYlZkJoO77rrL22b+/Pnk/kxpcN++9va7d4sf0VT4\nmzgxf1OH+sPqEbL6Xt327rvCKW3fLmzYvVuM40t5X35ZSER6f1lx5ZX56H39eqB///xFreJXvxIX\nzze/KSQf6bhkpqHa//zzIvNQdeONG4Fnnolnt5wD37zJdvPnA7//vXjf3i6Kz+qS4AcfFA5dJQzA\nTga6w3vjjeJoV36W54bJSfbvn4/kdfKQ+++/f16KkAXz5cuF/ivtlGPKrDFJRFTtu7Db2vLjvvyy\nWH2yZo2IymXmSM1EJQnu3i0i4tbW4kxIXlOmuVGvNzlXkihV8j33XDFvev1EEgcFRx0F3HJLoS06\n1Ovs618X0pcv65IPOAREwOHqk4rLLhN1BNs9CP/n/4i/UDz1VP5u5aFDxbmybl1c/9Kp7kBWIX/E\nU08VK1BMeOaZvO6nSw/6NhMZyDG2bxeR4uDB9EcVZEnpXPtKZ9DQIFZVmfAP/yAunnfeAb76Vbf+\nb8qwqCtqPvxQzJFvKadpvtvaxL7q7fi245Y1nsWLRXYjZUM9OtdlItuyT9WpSsjfWvZpczqy4K2T\ngUS3bvn5k/OiE47cR5JFe7twHqaMb9as/FJoNTO44AJg2rT83MgxpTyZJG5CV4ly/Hhz7c11H4e6\nMkxul1G7fj7IgM00vgn33Vf8vQwSbfvt3p0nGCmBjR5tH0O12wY1gNy6lXZT5L/8i1AzVKlu2zb3\nEmkfbrstvxRaQkpyMVFxTwoJdZ7PPOO+Q1I/odX3VIK49FKxhri1VaxEoEB/RAKlvSw6U5a3vf8+\nTSp75RXaunuT85OR09q1Ii2V2Y6ETMFbW4sfM7B6tbhLU/ajvm7enB9PjfhNv4Fq229/K5YUz5sn\nPksnb8sMVJI49tj80j9JRCqkc5f76N/Lvnv3Lmyv25okxRG1fJidTgbScUv71bmQmD1bSKdAIUnL\n+dZXQcm+P/pIZMYmaUltt3u3GN+UYerFdTkHLS1CbpPrQvTzUCdfExm4ssQzzhAOVFUEfNfEmjXi\n0ST77ku/Y/rll8WyTlV6UqGOdcwx4ngpT6d95BHxunmzuG7Wrk2/aABIJyulQcVmBuvXC13YBv1k\nsq2ycNUMqNvWrs071LY28fwaFbt2iVT23/89r92q+z7+uP04JO68U5yURx8toj7dFt2RmLB5s/uB\ne64L0ESMv/2tuCFs6FBR7NtvP/P83H67cFoqfv7z/DZ9bgcNyq9X95G/KstJp6rXCvRXk0z09NP5\n38FEBvr8ys8ffyycqnTcuqPTyd5EBtJx63KLreahQzrqbt3sxVzb85lUR/3oo/nMRm/Xq5eYJ3mc\n8lhMbWUfejZlk+VcZNDSkpf7rruusI9vfSt/Vy4lQALCHp0xbpzINGUtR4c87uXLxX0F27fni9EU\nDBok7C/nPT1ZUHFksHat0LrHjBFrbG3QT4q+ffMnlamd6SRKky1s3gzMmJHX3y++GLj3XlHkuu++\n4tUKl18OTJpkPw5AnGjSib/wQv42dFOBW8eECfm7aBsa8oVrEyiEon4/d27+hrBXXy3Uvbdvz1/0\nv/61kDNUqNq1qWCv346vtlPt69YtH/XqTtXmTHX5SF1qKtvZZCId778vsk/Zl+5MdSRJcXYhHbce\nvev2t7YKaU/vW81GbIVvmzSmOvcTT8zfJasTUnu7WD+vPmLM1qda6zC1A4RkI68RVyb2yCPi/oCP\nPhIZuHrj4O9+JxY46HbGxF13iWvUhE2bxLr+z38+/QMyd+7sPM+tqjgy+MMfxA+0dSttJYB6kplu\nxjGdPFmyBQnpCOfPB37zG/sYvlUiSQLU1xfKT64TXr+omppEAfCjj8R8ueYsS7FJ7vvYY8L59+sn\nXoF8xO7bl0q+6vHncnanaouGbRKdGpnbIlWdMPWxpFOwzaVcCqvuq8tEJkcMiHNq4EBx/h97bF5a\nUFfz2IjRNhe6E5PnrUne0pdW2m6sk33Iz7o8B4iVM6ecYr5HSP0ssyipx+t2yyfdlIoMXFi5Uqzr\nz4I//rHzPF+s4moGasRmO5FUqCdga6uQAuSDx9Tv0xSQTRGt3LZ4cbGM5VuxZIJsp6b9ocXnpUuL\n77506cTUVT2mOfvRj/KrNGR0b7JTHSP0N1DnUY2Gbdq7TzbS+1f71O3VbdVJQDrCkMxAntM+u2Xf\nH38sZC2pPau/m28VlC7V6GRgctxyf0kwu3aJ39YnPcmsQ28nFxXs2GE/5/QMR8o76hwAQr4yHV9n\nwTe+0dEW0FFxmYGK0B9++XIhyUyZkr9l3BQlupw81WHdfLPQxW1jUE9eKgm5oGYDVCnIhVCypJKB\nayxXfzbtXXeqtohb799EBrpspC8xlctFbc5UHcNWhNazDBsZyMKpTjwUMvBlBjb7kyQ/v1ddJR5L\nYpOJ1Md+qGPqfeoLDtQ2+m+qz7dONKaFIIy4qGgykKCeAC4nT73b2EcGoU7e59Cpjlf/zjeuCaaM\ngHqMWUgrqyynSwo6GdhIIE1moPctnZN8FpbtXgYJVSbyZR+6nXpfJklKzzZ0EtPtVmsG6lgmopQE\nI7Nq/TzQyUtdxmrqU5fLVOhkoBOOfuy21VuMeKg4MlAvIMrzTHwRaBZnZ+qXSjgum1pa8o+HMF3w\nVD09FKFSWBqyNIGaOfmWlkr4Imz9VY+eTTcO2u4+lc5JkgFFJrL16asZ6GObitW2m910h63q+eoN\nXq7MQMpw+pp2HxnYfjfdkav26rUPPTPQz0v9N2fER8WRQSjzUx1RFsefxlHr7W64QRTHcznxj1UO\nOEDclXnhhf59bcdhAqW+YnLK1PEpso5uh2tcynzbVv7YnJRPJjLNke2mKD1SpchEtj4lfI/RkDAV\ne23EaCODJBHr7+X/T7DJLWrNQIeNdPVAxtSnaqMKPdvTpTL9N2SZqPSouAKyCsoP77v4YkTDaZ2Y\n+nrRRfl7EF56SbyuX2++GSXU8apwfR/aR2i28OST4j6J3r39BeQ0MpGE7gB9GYLefwhh6s5JX7Fk\n21+1U8LXp378piyEmm2Y6g2qTSaitC3YsM2z7Y5vfT8XGdhITB8rRi2M4UbFkYErWjc5Dmp/aRxR\n6DYVMVYsUWUnKmIft05ajY3iGS/6P24J/U3147bdEOYjAZv8ovZhs8sktwD2pZmmMXTS0p28zXHb\nMhrVYdvG0PtUbypT27vmxlaHsBW8bb+bKVDTf0Ob3TZCZ5modKg4mch0wYZEkbb+sjg7araQZcWS\nqZ0KF0GocEW9Lp0+jZ5vOp7XXxcrudQ7QbNkZ0Cxc/LdvOWLVE3wRaq+KN40hq0OYXOqut2uebMV\nvG12y1fbc6dUorFlNDZ5yzbfrnPVl9HYyIBSR2SkQ8WRgcvZpHFO5WwXS3enjhuKLMett7e1Mz1Q\njEo4tnF9q3LSZAY2+JyTTyZyZR82eykrlHT4siQ9o5GvroxI7zOr3abzRyexUDLIcv4z3KhoMqBs\no0bUWaQRn1xTqnHLQQZUIgu1M1Z/Luhj+VbpUM4tH8H4CsgUe33kpev8rmyDareuvdv2N7XRzxFb\nRuPqU99GWQWlbmeUHhVHBqYTy+WMqRJOLAecZYwsMo3LZhOoBOra1yeFZZnbLIRnc/q2B9bp+7mg\nH7utb4oEYuub+oC9ELtt9mapdejf+WoGrj592YZupy0zYJQOFUcGJudgOiFiSD1UWSeWTBQ7CndF\n0rGdMrUuEnvOTKBGwZTMgNq3Tx+nIDQzCIFvTmxRvGkFEfXxGT5idAUutj5tZJAlI2bQUNFk4Ipk\nY0ftFMcaMi41ug7NcHyZk60IadsWapOKLIRHnUcTqE7V5kCSxB692yLr0DFs47rspmQd+njUArJP\n0jH1SbXbVz9xnTs20nU9BI9RGnR6MqA62yzRONUBm75Pk7nEcKimiCo04k9DtKX6DVTEcKo2+PoO\nyRCo0bCNcEJgk85sMpHLbtvSUp9kZjtegL6yKlRCY8RDRZOBhOmiNjm72HJJDAkldmTusyVGv6EE\nFYtoqRe8zymVkgz0MWR7yk1RuoNOY3faekSazMBHAvpxxMiSfJkYo3TYq8ggtMhZKgfs66+UDlqC\nWmcxwWWnrz+qfEI9Rop91AKyK1KV8PVp0/cpGQI1o7ERTJLYj8knb/mWxLqg2227S1h+ptwLIPu0\nyUIxVm8xwlBxZEB1bLFrBvp3IWNkyUhKVXDNIq1R58w0BtXO0N9FRSkKsaE3naWJhn0RdhqHTZW1\nfCt/Qvr2ZWb6/iZQSZczg/Kh4sjAdAKFkgG1XSmlo3JIQmnJwLSN6ryp9RNqLSdLVmGLULPIFj6H\nbZOJQsbw2R0iE1Gdqe9/D5jG0MnAl31Q+pSgkhiTQfnQKcggtmMLdcBZ5J9SSkcuB+0iUBUxMpjY\nx2i78KnyUBoHElrQdM09daVSDLtL6VRjRu/6da3XT2wyEReQy4eKI4NQx6+CKhOFSjNUB0gdN40k\nQ90mYSIDah3B5ZR9MhH1GKlEYoJPvtBfQzRsn8OzRcOUAjJ1jBgk5nOqFFDtjUliMWsdjDBUHBlQ\nI1pqu1Ann4UgVJguuhjylHrcpm0um1xk4NuXShCuLMC0j+s7G2yFy5ACsm1Marahf6Y42ZgRtv7q\nszONUw3NlkJkoph9M+Kg4siA6sRcjo3qsKhRNnXfLEVT077qMeoXj62d3t63zeSAstgeW6ozIWuE\n7SLA0Cg4ZqStO2xKRqPLLdRMxmWfzV5fzUCfb0oQUIqsoyshJkl2CjIIlYliOW9XuzTbshRrqWNI\nhGYLaeodoRJXlv5Mx1FK2YIqv+gykQuhfZqO3fboap+jTvM4DWq2lEXestUMsqza6kqISZIVRwbl\niHJDyYAqJ6nI0p+p31DHn0VGC81gqESWhkhMoDruGLKFbdmnrYCcJhq2SU8m6H1RJTNK377HS6eV\nctTt1OcdcWZAQ0VlBkuXLsWIESMwfPhwzJs3r+j7ZcuWoX///hg3bhzGjRuHq6++2tlfbDJwOScV\nWaSM2A611I7ft810ccfInNJITCbYnFQaR61/R3VOIRFr2gjb9c+d9L59MhHl5i2fTBTqsF0kQM2S\nuIDsRkwyyPRvL9va2nDRRRfh8ccfR21tLY4++mhMnToVI0eOLGj3pS99CYsWLSL1GaNYrCKL46c6\ndNP4Lmfni6RdTjEGWVL7S0N4ptpGqJzkizCpTooiiYT2mWapJtVhZ5Fb0kbxlP+MF5p1uP4Xuf45\nJul2RVRMZtDU1IT6+noMGTIE1dXVmD59Oh566KGidkmAxVSH5dpmcqwqqM4pdjE0dFuM6D7NttCa\nRbllIqrjC3mUQWjUHqK9h9qbRtf39Unpm/pPbbIsW9XtLQVBdiVUTGawYcMGDB48eM/nuro6rFix\noqBNLpfDc889h4aGBtTW1uLaa6/FEUccYelxFjZskO8bP/nLJm+4HGAs5x27kOqyvZzSUZa5oEp1\nIWRAvTM2jd4cKuWEOECqMw3R9fW+fX1SCrKxZSKT3TYpj3rTGQMAln3yB3hU9yBkIoMcYQnFUUcd\nhebmZvTu3RtLlizBaaedhtdee83SehYGDgQ2bSrcmiUaDnV2KmI7fqpTlMhCBrFrBlSJK0vNgCoT\nhcoXlIyD2qetkKzaGProhRhyS9rswwVfn2lW/FAzmSzZ0t6PRshA+corgauvnh2l10wyUW1tLZqb\nm/d8bm5uRl1dXUGbfv36oXfv3gCAyZMno7W1Fe+//761z3JGw1mkjCwO0OdQXbaXyvH7toXKRL7I\nM01mYLPF5kxdEWvaZ+XofceUidJEwaEOO40EFSqh6fubtlGzJM4M3KiYmsH48eOxZs0arFu3Di0t\nLVi4cCGmTp1a0GbLli17agZNTU1IkgT777+/tc8sji3UeVIdURaZiDpuOWoBWQg0S70jxlyY9g11\nrq5E1kYGWSQdm72hfbou+NCsI42kE6NPidA+uWbgRsXUDKqqqjB//nyceOKJaGtrw3nnnYeRI0fi\npptuAgDMnDkT9913H2688UZUVVWhd+/euPvuu519lqoYSh0jltSTRVZJa7tvWwyipc5PGknIR6qh\nUWWIxGDTsrP0abM7hoSj202VWyhjhMpxlEI99f4CW+2AZSIzKoYMACH9TJ48uWDbzJkz97y/8MIL\nceGFF5L7i+HQY7Urh3SkX2Bp7CyHxGSK0EIziDTzY7JLt4VaM1CRVtf3SVCuLMjXV0jUro9nc55p\nCrJpMwKb3Unil5x8/9yG5SIzKkYmKgXKGeVSt/mkI6rsRHWKLpsqiTSoNZDQ+fEVkKlOyRZVhjjs\nNFp21oeyUZyq3nfa2oFtHIqdWe658JEVy0U07NVkUA4nFuo800ge+ne2/lxRVTkjfuq+aaL70AyL\nmhnEdCBpawYUPZ8aFevb9X7S2O2TXUyIRYxpSDdGjaYrgcnAsi12hByqiWepD8Sui2TpL3Rcamag\nIk1mECq3hOj7Nqdqi2B90gjF7jRZh63v0AibIhP5nscU4qiptYIYc9KVsFeTQWynGFsmomYLobJT\n7Oi+HNJR6AqjLJKZ+j01EwhxVjZpyTdGjGjYJ7tQVkH5HDUlM9B/p6wZmKv4n/aVM4PSoVOQQTki\nadcYrgtcfZ9FE6+kjCiLdJRFWqNmBqFRcJbINYtskTYj0M87l/yYVnaR++tPKg2x29a361zx9cEF\n5DDs1ZlB7Og+hqOM5eRLJRPFziqy2EeN+F1Zl6lf0/fUKD7EcYc68BDpyffIBZu85bKXSlqUzCD0\n/gKbDTrRqNtskhP1fyHbzo2uir2aDDrKsZUq8jXtWw6H3lGk4aqVpM2SQuULmzNLUzMIJQMXuVFf\nQ+4FsN0ZnYYYbfNsc9y+vmPKRPwoazP2ajIop5Onbou1dNJFBh0Vyce2xeX4Te18Y4U41xCdn/p8\nfV9fIQ47reNT5yA0ek/zn8OoTj/kHgaqTET9bRkCTAaWdqWSmKiOzRUJmfqNbWe5+3O18xXdXc40\nVCbKElVSl3369HHXeRFqp8tx2+yNsV4/7WMoQuaZ2oftM2cGhdirySB25Bs7aqYWQ0s1fkeRC3UM\nqmQWWj8pNqFBAAAgAElEQVRR21IzAooj0ff1fba9ZllFRO07jexi0+IpGU0oCcSwl/rKEGAysLRz\nOW9ff6HbTDLR3lIYjnEc1OW4lPF99wBkcdi+vn2RtUvKoa5QSrNiyWdfmkdB6wRtu88gNOtIknA5\njgvINOzVZBBb6qGOQW1HzRZc7Sspki+VtObKGtT3FDvT6vmlcKoxHbbN3pCMphTLbLM6bEqWpNtP\nXUXEZFCIvZoMsjg26olCbRcjM+iownA5SMPVn09GC5mztPcAUDKErDdYlUIaofwT+6z1CFOfvpqB\njaRs2Ucae6lZE0Ogy5GBCaZJiH2iuCIck7OL7ZRNKEd0H1smciELGaTV99vb7Y4vrc6fpWaQ5jlC\nWesRLoftW1pK7ZuXlnYuVBwZZGG6cpworjFMzpFKWllsp46bBaFEF5OY00oiFBkj1NGlca5ZiSaE\nDGzReikeVBeywipWrYAzg0Ls1ZlBFnSWqCG2847t+LOgFBerTyZKU1OgSiE+h+eSiahFaJ8NMbIO\nCsHofaeV4UxjhC6J5QIyDUwGnRydhbTSIPbFmiR+bTrUyaqrW2z7Up2Wy2GH3nRGWQaaNrsIKfbG\nWgbqklJD59dVY+rKYDJgVCxKkaX4nFNoBN7eHt/hURYbZB3DRWKlcNg+gvS9ZrkvwkcSDAEmA0aX\nQtolmi4nFctBmxyf7T6D0AfVmezOuorIJUGFykMh90ekLaazTOQGkwGjSyHrEk2Tk4pV3DVF7xKx\ntHd1jKwykW31lOm7rPNNyTqoxMJkYAaTAaNLIY0MZGoXUjNIm4XEvM8gS2aQ5j+H2TKZrARp6juU\neHRbGAJMBowuA5MDTCuzuCLsmNF7rJvNTJF2WrtDitPUFVQh2VLaVUT8oDo3mAwYXQa5XHon5HIo\nvkhVd4w+B6m+hhZcqUXTNDWD1lb39y6ZiLp0l0I0+tJS2/xyzSAMTAaMLoNcrniJpslxd+9Oj2BN\nkaq8KzmEcLp1C3fYuVz6+yNMfYdKZK7Ct22eQ/vU+5a/Yej8uj4z4oPJgFHRsK38UR2LyTFXVdkd\nvXSqKoG0tRV/dr3qBNTWJmxQsw4fadnIIoTE5LghkpRqQ5q7sU3Eqdpgctz6fKcpVnfvzjKRDs4M\nGF0Gtkjb5MhVZ9a9e6HUUFVVXEB2kYHJWfnaSxtcjs7nuHW7dSdLmQv9Vc1G9DFsMpG+j/69j0hV\nMpYk5rNT/Y127y7sQx+DIcBkwOgysEXDeuTvc0664zZJS9KZm+oUtvb6GD6ZKMQhmkiMQlKuubJF\n8WrfuiOmEqNOODqJmey07ePrkyHAZMDoUjCtcpGOWzo2KhlI/dqVGdiid/17KQup38v3pj4otQ2T\nA5TH6cuSdHvknElCkdKOySnrWYe0w9SnPp8mYpRkYptv6rHbxmAIVBQZLF26FCNGjMDw4cMxb948\nY5tLLrkEw4cPR0NDA1atWpV1SEYXg3SGJplCJwXZ3ubo1ejd1cbk0H1j5nJ5x6UShitK17V3mzTi\nslvu4xtT2q3vLx22aX5lX7qd+ly57Lb9Jr46j2kMrhkUomLIoK2tDRdddBGWLl2K1atX46677sKr\nr75a0Gbx4sV4/fXXsWbNGvzmN7/BBRdckMlgRteCLZrVHQVFw5aOVDo+3Zl3++RqUPs0Rem2Mbt1\ny0fwLrts0ocaxZuO0yRvqUThstvnuHUyUAlEHV/93jUXKmGq86vXdVxzYxqDUYiKIYOmpibU19dj\nyJAhqK6uxvTp0/HQQw8VtFm0aBFmzJgBAJgwYQK2bt2KLVu2ZBmW0YWgSgS6gwPyDsZUQNajTCDf\nLkmKnWJVVXGfurOyfS8zA5VQbHa7ZCPXccrMwJSxqGOaIm75vckGabNOSrY+9fm0ka/8/fRsyTQX\nJpIy2c0oxBNPxOurKsvOGzZswODBg/d8rqurw4oVK7xt1q9fj5qaGkOPs5T3jZ/8MboybNJHz575\n702Oplevws89euTbu2QidUz9e33MHj2K95cPqXPVFVzRsG63OqbN7l696HbLudAzGl0GUufL1Kf+\nfa9ehcchx5RkYBrXZKda29DtZjKQWPbJH/C978XrNRMZ5OSZ70Gi5TL2/WZlMYexF0KXiXTHIJ2p\n6XtZANXbt7UVRtgqocg2ra2Ffe7eDfTunf/eVBeoUq4m3Ym6XnUpRD0e1W4p5VRXi+/UuQHyEpM+\nF6YIW20nMxrfPrKtmjlUVQEtLfYxJdGox6jPjf4bq/bpvwcDKA6UZ0fpNZNMVFtbi+bm5j2fm5ub\nUVdX52yzfv161NbWZhmW0YWgOxLVeQLFjkWVcNQoWpc95L4mTVp19tIpmcbUsxLp+KTdumMz2WXS\n86UNJpv0fV1zYetDt0HarS4pNclEqhxnk+n0MVWiMf1G+pjSLpO0x2RQWmQig/Hjx2PNmjVYt24d\nWlpasHDhQkydOrWgzdSpU3H77bcDAJYvX44BAwZYJCIGoximqNHkrEwatuuzqu+rzkl+1sdy9Sn3\nVxNeE4nZHLMkC12r18fQb97S58JEbr4+5VyY5lm10zQnvvk1/Yb6PrYxXWMwSoNMMlFVVRXmz5+P\nE088EW1tbTjvvPMwcuRI3HTTTQCAmTNnYsqUKVi8eDHq6+vRp08f3HbbbVEMZ3QNdOtWKENUV+c/\nA4XOSrZXJQVdYpDtpQOU2z7+2BztSu3aNKY+huoAdefZs2fhGN27Fx5Xjx7m71WHCBTKW6ZjU8es\nrhZ9uhx3S0t+FZS0Y9cuMzFK+2xj6n1K6GRg+01VO3ftYjIoNzKRAQBMnjwZkydPLtg2c+bMgs/z\n58/POgyji0KXW/bZxx7FA3lHon+vOxbpANVtvsjVFIGrY9hkIpOkYxqjvb1Qi9flFqAwm+jZ091n\nr175VVO241SJUWYo+j4qMfboYZaJ9Pbqf3tTVxPZ7HTJQiwTlQd8BzKjoqFG77qDAArX9cvt+me9\nvSkz0F9t2rXah+rcpNMLsVt+1h20zW55c5hvLkwECRRq8vp+tn1U8jSN6bJXwjRfIceuvzJKAyYD\nRkVDd9gmhxLyvRppq9JSaB8uBx9iB/VVJS/V6dv2UZ2+LjXZiEbdpu6jF62pfQKFJKl/p9uvZkWu\nvhmlAZMBo6Jhcxg+x0KNtG3fhfYFmDODUPKyOUIT0ficpt6nzRaVGHWHrGc/IeQlEUroPrsZpQGT\nAaOiYXPYPqfpa6/fLUx5tRGRiWBcElTIWN0MV6gtiqceewgxZiVIk702+3zHwWRQWjAZMCoaWZ2q\nzUlRMgNbBG6TlfTVRKa+fY7ZNpZ632ZoZE2J4m19hmZeevuQfal2M0oDJgNGRYMqs/ja6VGnqWYQ\n6vCyRMMhGYyOUILMWjNw2W2TuVwyUdrsiMmgtGAyYFQ0fDIRtfhrilhD5RZKhO2zO9Rhq/bK7IBa\nZ7B97yLG0DqEj+zUArKPdKnHwSgNmAwYFY1YMpFJe8+64kd3bjGjYVOE7es7ZjFdJ4zQrCmkgGwj\nAdt2RmnAZMCIjpgXrW9Vji8z0J2TjK4pOrnNKbmWpFJXEWUhsaxE48poqBmCThauWkdakqLMBSMe\neHrLDOKDXjs1ShHB+ZwUtbagItRx+xykei8A1WH7JJMsBeQ0TjbWqqKQPpkMKgN73fRWurPtCqlu\nKY4xq0MxnReh9Qbf51I4wDQykb69utr9PWUVVCgBxSh8U/pkxMNeRwblcLamMahRi2nfLDaXM1py\nRde+dmmhyjpq31RHncWpUpeWhjhVquM2RcO2AjI1o3HJRPo8p60ZmOZCt5t67DYbGKVBRU2v64Kl\nIjYZuAqPvnFNtlPJgOpkXcREvXiox0gdn7rqI+Ti9jlmqrOiyC1p19SnuQOZ6lRVu6nLQKnfm+4J\nyNqnab7TFpI5MygPKooMqA5IghqhZyGZLI6S6jypx+HqzxWVpuk3lHh87ajEaPtdQh1gSGYQs9ir\n1wxC7bSRncluH4nZ7uzVyctEYlntzkKMtkyGM4PSoqKm1+XYsjjWLNJMbKdYKmds0quzZBeVdIxq\nW5/TpES/tj5jkIGEzQHa1vzbHKEpM7D16StG2+ZClYlCpTHKaiJ1HNM+1KWlTAalRUVNryuqiO2c\nqGSQhVw6KjNwkUE5HH9Mkta1bF806XNOKmJF2K6AJevD8EL6TENavr5txxgiPYX+hpRsgxEfFUUG\nLu3VlXaqiB2plkNCibGNOj+VPhd6O1/RlFpApkSqvmjXN4araOpzmiEOMOvdza5ggdq3b25cWamt\nzhNCMIz4qKjpzUIGoRlEJTn+LGOY5sI0j67otRyklWW+gfSPjnA5J33MtARjmltbNOyLfikk5pOJ\nfGOYZCLd7tDMxeW4Q++98M0zozSoqOmlnEjqe5dGa+pXRaVH/FT7XPMTW27rSDIIjbDTSCOhj0Uw\nZQY66VCdqi5FpXkcRWhmoEIlG5PdofUVlcR8BGOrHbBMVF5UFBm4IlrqtnJkAbEj/hjZQiVJa7Gz\nH6A02ruv7yzRcNq+KbUOKvH5CEYnAHWbTcqhZjiULDZGn4x4qKjppTo2V7tK0sRL5SjTZEmhReVy\nEBllW+iTOn16vi7fqO9tsgRVvqDcaOWz2xYNh9xnkEUmkvBlBtR7AkIeo8Fk0LGoqOk1RfcuJ09d\nQVPp0XCoLWnIMnRuK00mokbYNqeq9+tyUj7t3ZUZ6Ocfdd1+yNp6Wz3CF3Hr54VLLvIV10MyGn08\nHzH6CIZRGlQUGYTq39TaQkdEtFnHddmifpdFJnJJa7Gznyz9AekLyCYN29e3z9HpfVICkVB5y1Uz\n0PvO+t/T1PsMbHanrRmofZdySSwjOypqel3FMmo0TI18y+HYYhNODGKMvcKo1McdurSU6khMc5OW\nYFzw6eQx7A7NNigRdqikQyFfX1Zhe3Wdp4x4qKjpdTl0qgyiopzLTWOTSygZULeZ+iuH7VlIA8ge\nVerH79LgfYSTRm7x3W1LkVtsfWeRcGwIzQxC7o+g2smricqLiiKDLFEutZAqUQ4nHzvTiC2j6d/5\nxi+HJGTaF6DLRL4MwtRn2ijYVB/Qt4VmBL4CsikACiUYW11DHUcPzEKJMiQzoJIBZwalRcVPr0sT\n9zn+UpFB7GjYlQWYtvmkHlfmRJWOyhHxU7bpWjY1irdJDCGriXxjZJGJYkhR1OK0j8QAf82Amm24\n5ia2ZMaIi4qaXqruH+rsOiqSzyL/uJy8by5CC8gmW8oxZyEykf59aKQdopPbomLbqhwTwdge/EbV\n2l2ZnG4vVSbS7TfBJ0HZshGK3WkJkcmgPCA+eb4Y77//Pr7xjW/gzTffxJAhQ3DPPfdgwIABRe2G\nDBmCfffdF927d0d1dTWampqsfYY6tiwyUczo1dafa1u3bkB7e2F/ppUXWeaCSgYUWU79X7am40mz\njTq3gP+fr2RxJNRHR1AibB3UIq/ep+3cNZ0jaaUn3UYVofMakiVRZSGuGZQXqbl27ty5mDRpEl57\n7TV85Stfwdy5c43tcrkcli1bhlWrVjmJQLQtfLVt07/z7dtRBV/XGFRHXWonb7OT+huoxx0635Q5\n88lEoZKOaWmpPnZozYASvad1rnr2YQKVDFyOW/YfWjPwEQzlwYC+x1GEEA4jPVJP76JFizBjxgwA\nwIwZM/Dggw9a2yauM1kBtfAZ6iipDit2tuDaRnXUPhKMkU1R6wi+Y3TVG7IQramf0DuQs+j71Gg4\nlyt2gr5o2FbjcJ2noXbHyAxsDjxkfqnE4vttGaVBaploy5YtqKmpAQDU1NRgy5Ytxna5XA7HH388\nunfvjpkzZ+L888+39rl16ywAwM6dANAIoDE4GqZIRzbJI3bNIDQzoDrlLE7eh9Dai4nUssyPvm9o\nZmAjizQ1g9BomNK3z/GZ5l+HrdgbOoarb9u8+moGum2UzCCmLNc1sOyTv7hwksGkSZOwefPmou3X\nXHNNwedcLoec5Zd69tlnMWjQILzzzjuYNGkSRowYgYkTJxrbHnDALHzwAdC3L7Bjh+y78DXNtkJb\nxWvsiD80yk0j67japck0TI6HSjiy5qEeY2hmEFIzsI0RKheZEKrB2yQcl7Py9e2TQlxj+JxrmsyA\nmiWlcdS2ubA9iptlIh2Nn/xJzI7Sq5MMHnvsMet3NTU12Lx5Mw466CBs2rQJAwcONLYbNGgQAODA\nAw/EtGnT0NTUZCWD0Ijft6/NibW1xY1ebdtiZAZZnLyPcGKQS2yZiOoMQ5dTZqkZhBQ0dYKwrSqy\nyS4hTjXtfxCj1AwkQglS388EHxmEPKeJEQ+pp3fq1KlYsGABAGDBggU47bTTitrs3LkT27ZtAwDs\n2LEDjz76KMaMGWPtM4tTdEW5Pment1cRmzRKpednIZcsGYmpHhOTDLIWkNPo5DGi4axO1UZa6pih\nT3QNieL188A2Rpqo3VdH8WVijNIgNRlcccUVeOyxx3DYYYfhiSeewBVXXAEA2LhxI0466SQAwObN\nmzFx4kSMHTsWEyZMwMknn4wTTjjBbgxRr6bKKtRter8qqFlAKGn4sh8J37YsGYRrLtJkHy6izUIQ\nJtgct09GklCdre9JnSEFZBvSRtgme3VQScx2npkIRu87Sx1CR1o5jjOD0iJ1AXn//ffH448/XrT9\n4IMPxiOPPAIAGDp0KF588UVyny7npCIGGbj69W3LQhDUCJ2a6YRmBr65yJJp6FKIiiwZlgnU2kFI\n5GpzqiFLS23nFzXboNiZ9q7sEKeqH1uMzEsilGC4ZlAeVNT0htYM0sgl+ncqshQ5Q7elOZ4Yjj+N\ndBRKvjFkIpv2brPJF73r8ovrnEhbQFaRVt7S+w6Rt3yO2nU9+GQpXyZWipoBxW5GPFQkGfgcoGtf\nqiaexaGHykRpHL/e3rYv1XlTySUL4eiOQkUWslRBLZqmcSTU6D0kGg4tfIfIRL4bxGy6PoUYJWzS\nWQyZKLRPzgxKi4qa3hiOyBe9upxNDElI7cPkNKhau4u0YmcGsec7S2ZALXKG6uO6A1RBrRlkcYBU\novFlRLlcdpnINbdpawYhffr6tpEXk0FpUVHT6/rRqc5TBdWJUSNpky2u9jHILVY715xlyUh8c6t/\n59tmc4o2+3yyBcWR+P6BToxCrE8asRFMjIwmTYSt/76htQ4KOejZku2BeiwTlQcVRQahzo5KEFkc\nZShBqN+ZLpRSReNpxgglHGrW5ZoLFa4MwieXUHVy3V4XfJlBmkhb7zutU00jE4XUIXz3GYQSjqkP\nHWmzO0ZpUFHTGxrdU6NSk7MzfU91qJSINmQsas0gNPvwjRHajjrfJqTNpnwSg88BhsDXZ3V14WeT\njTbH5yMD2+OlXY6b2reNDCiZITWjSRO1632nuVOaEQ8VSQbUCNS0r4rYEgrl4kmTXWQhiBjHHWub\nC67fzEduAD1idc2bqR9Tn75VLjYiVMcM1cmzSDp6n9T/NUBZBWWbX8pqIts41JvlXHUeRnx0GjJI\nE7V3BBmkidpDCS+W7dSInyoT6VAvYpMklIYMqDJRGg3b12eaaFi3Oy2JUey2OVe9b9NvYVtZFEMm\nsoGa0TDsiJktVdR0h0a5sR0/1UFT7aTKWVnILbS/WNtcc2GK5Fzk5jrGtCtRssgWtr4pMoZvXF/f\nvlqJ/t5kt3yVspZPe3dlmrY58UXxvuzVZGeMYnpXQ0zCrCgycDk2E0oZ8btsiR21u/R3quxksiWN\nZKW3t9nsmotQMqD2q/btc9wxawa+VS4uO21jpI2GTVIUlWBcmYHev/5K7dsE34ownQwo/56TIbDX\nZgaUyFv9Pk3E73K8aSJkSnsV1AwiNGqnZhDUOVMROhcmUGUiX79U2cIW4aa5zyDLUzRtMhE1M7Bl\nAep7W596ZkCRt2zzFroKyjWO7/9D63cgc83Ajr2WDLJIFFkcapZ9JUwnLJWg9O/S2FSOmkEWMkj7\nO1IlEdurvp8+jstW3yoiX0Zlgi370B2365/E6GPZyEv26cu2crliB22b5xg1Gr2NPr/6XIT02dUQ\nkygrigwkqI6I6mRVlCrydY1VSjIKPZ7YGZZp/PZ2u02mZZimubBB34cqE7kibNsYvlqBLYp2wRfF\n631TLnYqwVAyA5sD9mVLep9JYj8GnXh0MqBmSYy4qCgyiOEUYzvZNPULyvimfX1juaL2LHWRWPMD\nALfcAnzhC8W2U49bt426Gie0gEwhUZtTLUXNwPZPb1x927IdWwFZ9kn515T6Z5uUQ3HcvpqB3pct\nM2AUY6/NDLI4sSwZRDkzA/071ZbYpJUlC0hjHwCcey7QqxeKkEX2MiFUtrDdYWva5ouwdVsp8JGY\nz3GbCEC3R9fgbX3qoJCBz07TfLe12W1XP+sFZJtkxplBaVHxZBBDz0/r2PRtoSelq1+qXEJ16CpC\nM5I0Dpoaget9+I7bR8I2TdtXQA5xJLoD7NHD3LfuXHM5u8yj261LT7bsg2KnT8rR+zRlBlLas2Ub\ntkyAKsup2+SrHNNX63D12dWx12YGodF9GodFbRfq7EzQ7bzmGuDkk8X7M88ETjnFblNo1B4rC8iy\nzYTQDEufd/mqOyufTKQ7J93xUGyWbXv2NNtGKULrn3Xn6pOJKHdMS1CzDR0mMtA/h0pmlPnW29jm\nW86NqRbV1RGTDFL/p7NSIItjC5WOfNtCMwgT9PY//jHw1lvAiBHAnDn572JkNSbHlOZ4Ysg5eju1\nmOiDzYlKyUEfNzQz8Nlr6lPPDPR2JpgyIXW7Lo3oDtAlkdhkF59TtUlPqqRjIwNbZuCTdExz5MsM\npMwYkiV1Vey1mQHVKVKdmP6dr+8sjt9l50cf5bcdcgjw6quF++gXos+mNIXmLJmTyxbTuCNH2tuF\nZhI2MtAjVluGoDsnU8Rt0951MtDn1SWNyO+kw9P30TMDOYa+v36xt7f7l4HqZNC3b+F2HWpmsH27\neJXz7Vv15JN0XPeX2MbwESOjNKh4MgiN0A8/3C41+Pb1taPUDEzf/fa3wD33mNufcQZw3HHFY1El\niFAnn8bxUyK00aOBs84S748+GnjnHXM73yoT3SY9UvVlBL7VLSbH4iMY6Zz0rMNVNPVlNLaagX6c\nOlz6vs3uAQOA++7Ly5ImgpHQ7fbVIXwrlFznli0zsJEBy0SlRUXJRKFkoEK2u+QSYO5cYJ99sklM\nVBmEgjPPtH93zz3Aiy8Wj0Wdi1BpLdY2fcXQn/5U+PlTnyr87HL8pm36qy6N2KJh27p3k4Zt+x11\nh21zTiYy0B2W7rh12UV34HpErTtfE+Ho+8hX+Rv16QOcfrr9ONXf5tFHgV27xBJh07Haagb676OS\nmk2Gk9tbWwuPlTODjkFFZgYUHVpvJ0/SfffNXwQxNHHTtkMPFa8//CHwD/8g3lOWLNqQJWqXEsD4\n8XZHmmabCn3O7roLmD/ffjxUuEjV9vgGfZ/QQqzJsejnmxxDnke6c7ItNVXJQI9m9d9TykK2R13I\n10GDiseyFXv1fXv0MNdrTHOhjnfooXnCkdAJUj8emwznkonkd++9V9iXnolRiumlws9+Bhx/fPnH\n7QhUFBnIk+GKK4Bf/EK8p8oWPXsCH3xQGJHu2FG8r8vJuopdKj7/ebH9n/8Z+OUvC78LzRrUcdNk\nMAMGCFv+5V+AbdsK22UpsJvm5+CDxev06fQLJG3NQLdRt9UWDfucFSXTk5+lw5avAwaYx5AwSTg2\nXV86PEk4ss/+/YFf/1rcr/HEE8CVVxYen4lwdElH9l3lyftNZCBhy2h8mYGJHGzZnRzzuOOABQuK\nybZ//8J2pSCDn/zE/f33vif+ugIqigzkSXLsscAPfiDeUx0bkL9YAWDRIqHV6+1C6wiUOykBYMIE\nsX+aE1ae/GecAZx4onifRrrq06ewXRpy0ed7yBDgmGPE+xkzgHffLRz344+th2W0RZ0fU9RoW30j\n28pivO4A9cjV56xcNupj2pwThQxsbSXB6GQwaBBw8cWCeI87DujXr9Du9vb8GLt25bepbfQ+dbgy\nAwld7tLlLUrmddtt+WvQ1dc++wBnn108ZwccUNyn+lnHN78pMuQQ/Oxn7u+rqtIFeAAwZgywejXQ\n0iJWEFY6KqpmILHPPsXbXM77S18q1uVPOSW/MiILGVBOhNZWcQJ///t52Ya6LyCK3s88k3+MQy5H\ns+lrXwO+853i73fvLt7X1Z8pC5DO9uWXxbGtWiUclbxAAXGxr18PPPSQ8/CMuP9+YOdO4M47C7fb\nyFQ6CJn92KSREBlDd9x65Cr76tNHzKmLjKVNtsxAl42kHfJcr6oSxKqvKpIwOW5JzDoZ+DIDChnY\najO2/z2g29C7d/7cPP98c5+2Mbt3B7ZsKSZC9Tc0FZMvvVT8VqNGFX+XFlVVQE1Nun2rq/Mr69IS\nSjlRUWQweDCwYkU+sjniCOAznwGee86tay9bZu6PWnx2OcoDDxSv48cDtbWCYD772cI26kU3Ywaw\nZg3w2GNmm0zI5Yqf5yMdugr9eO69t7jNLbcIpz1lSvEY6qtv29/9HTB0aD7beOGF4rG+8x3gppuK\nt5vGlejVSxzHtGnAww/799Mj0F/8QqTtf/ub+XtbZiDPqREjgP/5H/GeSgZq/+p70woavbirZwa2\nKL57dzsRqO1Vx33TTcC6dYKQ1TF8ZGC6a/hznwM2bMh/vvJKEVC98kph37LPffct7EOfdzUo0iH7\nkteWjupqYODA/OehQ8Wr7f4KCcoNhSb87GfA448DTz5Z/F1VlZCFt20D/t//E9f1f/yHu78FC8Rc\njhmT35aVDHr0EBlGKVFRMhFQ6GhfeQW4/HLx3hSNuZY6AvT6gIsMTj1V1CKeew64+25x0hx0kH3M\nG24QKzKA9Brn3/1dXpP3afw6zj1XECgAfPvbIv0GgOHDi/d1kcHnPgdcf73f1m9/G2hq8reTc/Hs\ns8Af/2gfX28vv/vMZ8T7gQOFJOdb+qj/zv36AR9+mJctKHfdDh5sJruQZZ/SLnkh25ZT+s4VlYDk\n+Fnz4NgAABAISURBVIceKqQkPUq23SQnIR2tOjeLF4vsT6J/f2DixOLfSB6Hnhnst1++z379gC9/\n2X4ssq8TTigkIHl8MvsARNZ9wgmFY7qyx6FDge9+V3ymRvQ/+Qlw4YX2PgFBbjNn5qVCF84+G/jH\nf8w/bQDIRga5XLEc+41viFefDwxBxZGBDpfDOuQQ2r5Ux2/bNmCAOEFND2BzIe0P9R//kY/spU13\n3pknRhmV2XDAAcCvfiUi9wULhJyg3vEsIU/0Y47JXzg+KURHnz7ivgIb9Dk96ihg2DB6e/n5pz8t\nvCB8MpFOEl/4gnBSavRtIwM1q/j7vy+20bbUUSUDXZaSK2Z0u/XI2gZ1TL2tTga2AjcgpL1vfrPQ\nhgMOEOe3zChMkH0dfnieUL/1LaC+Pr9d9vnhh+I7X1+5XH5Rgg3qsUqJ0na/Qffu4hq9+WbR7623\nCrmJAn31FAC88UYxoV5+ubi2QnHmmfm5CoWJ1O++G/jrX4G//CVdnyakJoN7770Xo0aNQvfu3bFy\n5Upru6VLl2LEiBEYPnw45s2bFzyOy2lfeWVeLnDt64uuqQXkUBx3XF7jDoXulL/1rbz+eP31hVGc\nju7dhX6qXuwybVePsXdv4L/+S6ze2ry58PtYGqdr/kxSQu/e4nXSJKChIb+9W7fCiFF33DYykEX9\nxsbisXyZgQ2UzED+7nPmiJrKjBlinuX38rV3bzH3+n0ZrjF15yAdmayR9e1rX/r7ne/ktfhcDnj+\neeCOO+zj6udhz57AeeeJ93feKexPEiGh6nbqfdg+U3DBBWIVmwvqvGzYIAIqVW7S8fnP59+bZFm5\nhFzFYYfZswgXrrxSPHnghhvC9uvRQygFJgwdmp5gTEhNBmPGjMEDDzyAY4891tqmra0NF110EZYu\nXYrVq1fjrrvuwqv6sxgUuBy/aRVMz57uKFmeHOoPHbI6KSv69XNrpy6YnPKnPiVWkIwcCYwdG9af\nvlZe2vflL5uP2xUlUvGpT5mL2RJf/KKIcFTCmDBBZAC33y7kp507zX37HmXgy3C6dbOTgQ+uAvKD\nD4q/qirxN3gwMHWqyIh+/vNissjlaHKG6uhGjy78LPuUgVEuR3NY3boJ+Y0yPjVjdH3vu7vahX/7\nt7xzlufLo4/m76r+3e+Eo3ZBPQcvvFBIvxKjR9NtSZvxV1WJetc119DH+8//BBYuzH9OWxehIDUZ\njBgxAod5Zr+pqQn19fUYMmQIqqurMX36dDwUuPTE5BRl9CejSBuqqoDJk80aPzUzGDyYbquKdevE\nUtG0sNmU1kn37i2yCRnB/fGPwP/9v4VtLrtM3Ej3n/8plpRmxcqVYjUSYC6Odu+e1z5V9OghjrtH\nD7GU1PS72DID/TlCtovnwAPzfcj7UUIzA31VTq9eosZ06qnAf/+3SON1SBIbNSov+/lw4YUi05P4\n7W+BrVvzn6W9p58ubgikIsSxUDNGV2ZAnV8f5LxPmpTPls880388NTVC+jFh7Fi6CmAjgwsvpNXP\nfvzjvFTng2rT9u0iUDJlMTFQ0tVEGzZswGDFm9bV1WHFihXW9qYfUxamVO2wf3/xo+6/v9+GxYvF\n5EvIE1HVrW0n+pYt7jTThU9/Ot1+uk2NjX4JgYqxY8UKrerqwpUOEtdeG2ccCZVIp07N1y1C8IMf\n5Fc0mWB7kJopA5RYtEiQ4owZ4rN0rNJZ2bIRQNQQ9BqJupxSoq7OvL8co08f8dgUCqTkc9FFgnCq\nqwsls7PPFlFxnz5+KUXiyCOLV5y5QCGOk04ySxp6HUXeH5EW/fvnfzMKsSSJcNJ9+xZnF2mgjllf\nLwKQ1avFb+Cqn9n6mDpVBA5y5ZZuu4TrOogBJxlMmjQJm6WYrGDOnDk4ReZnDuSCQ4BZmDVLvGts\nbERjYyN69BA//MyZhS1Neh4VSSJWKUyfLpyiiQySJD0RxIAkgGuv9RcXQ3DppUJ/LTeqquwO0gV5\nJ7qOU04RMoGtZtCnD7B0qbiB0bQvkHdSN98slmfKYpzU3k1QVxfpmYHU4l0YM0as0kkL02qWnj3F\nvTYheOmlsPYUMrAtFdaL5zITS4vRowWhA0Jq9C1vBgpXKU6YYCfCyy8XGTO18DxoEPDUU/naFBWq\nr7n0UrHk2VRMN/W5bNkyLLOtp88Ap5t5LGSxvAG1tbVobm7e87m5uRl1Do/wb/82y7hdvwBiMGR1\ndZhOWG4ccIC4aGISASBOwtBVUTFAXeZHvaCqq4VMINcu6GTQt2/+bm4bpHMaN078yXKWT3vW0a2b\nWDIrl++6cOCBwnmkwR13pL8BKi2k486iVT//vPhdfv5z8TmLzLFypZgDqRicfLJY+h2C5cvt382d\nC7z5pqhlUaCqE65Vci5062bPcEzkLwNlidmzZ6cbWEMUV5NYruDx48djzZo1WLduHQ4++GAsXLgQ\nd4WImgY880y4Ez/uOFHU69cv/7hoiXPOERGr77b0joCvJtJZsGMH/VjkRU6FLgdJp0WREG1PGJ00\nKTzKk4/sKCW+/e3Sj6EjS9FXQt73Ivu67rr8Ax5DMW5cejuouOEG4Ec/cre54gpxT4+8cW737nQ1\nGKA44DvhBCEz//Sn7nuaoiNJifvvvz+pq6tLevXqldTU1CRf/epXkyRJkg0bNiRTpkzZ027x4sXJ\nYYcdlgwbNiyZM2eOtT+fKc8+myTz5qW1VqC93f4dkCRf/7p4BZLkwAOzjcWg4/LLk2Tq1CR57rkk\naWsL23flSvF7ffyxeN20ib7v8OFiH4lrrin87AKQJL/+tXidNi3M5s6EXbuSZM2aJGlqos+NDV/7\nWvY+9hY8/LCYixtvFOduW1uSXHed2Hb++WF9ZXDjBUidGUybNg3Tpk0r2n7wwQfjkUce2fN58uTJ\nmDx5ctph9uCYY7JHXyEljNjLTBl2UAupJsjllHohmYIlSwolhsbGwv/S5oN8MOLefK707CmKpKaV\nUaHgf06Tx0knFWefl1wiHq1DXQQQGxX1bKJKAv8jjc4BmaZT7+RVoWu8xxwjVoVQceSRhWPvzRg2\nTNxZnAVMBn7cf3/Hjc1koECuAd9///zzUBiVjVGj/I/FLgU6YsyOBmW1lAtMBpUNJoNP0KtX/tkn\nb70V5w5cRvnREZLN3iwTxQSTQWWjCyS4NHz0UV4v7tMn/pJORnnQEZJNV5CJYoDJoLLBpzFjr8HQ\noR1zDwVnBjRklZkYpQWTgQK+qDs3/vrXjtHv5eObGW7cdBPw2msdbQXDBhZDFJxxRumf/8HYu7Bj\nR8dkI50R/fvT/jkMo2OQ++SmhQ5HLpez3snMYDAYDDNi+U6WiRgMBoPBZMBgMBgMJgMGg8FggMmA\nwWAwGGAyYDAYDAaYDBgMBoMBJgMGg8FggMmAwWAwGGAyYDAYDAaYDBgMBoMBJgMGg8FggMmAwWAw\nGGAyYDAYDAaYDBgMBoMBJgMGg8FggMmAwWAwGGAyYDAYDAaYDBgMBoMBJgMGg8FggMmAwWAwGMhA\nBvfeey9GjRqF7t27Y+XKldZ2Q4YMwZFHHolx48bhs5/9bNrhGAFYtmxZR5uwV4HnMy54PisTqclg\nzJgxeOCBB3Dsscc62+VyOSxbtgyrVq1CU1NT2uEYAeCLLS54PuOC57MyUZV2xxEjRpDbJkmSdhgG\ng8FglAElrxnkcjkcf/zxGD9+PG6++eZSD8dgMBiMNEgcOP7445PRo0cX/S1atGhPm8bGxuSFF16w\n9rFx48YkSZLk7bffThoaGpKnnnrK2A4A//Ef//Ef/6X4iwGnTPTYY4+5viZh0KBBAIADDzwQ06ZN\nQ1NTEyZOnFjULmEpicFgMDoMUWQimyPfuXMntm3bBgDYsWMHHn30UYwZMybGkAwGg8GIiNRk8MAD\nD2Dw4MFYvnw5TjrpJEyePBkAsHHjRpx00kkAgM2bN2PixIkYO3YsJkyYgJNPPhknnHBCHMsZDAaD\nEQ9RxKYMWLJkSXL44Ycn9fX1ydy5czvanE6DT3/608mYMWOSsWPHJkcffXSSJEny3nvvJccff3wy\nfPjwZNKkSckHH3ywp/2cOXOS+vr65PDDD09+//vfd5TZFYFzzjknGThwYDJ69Og929LM3fPPP5+M\nHj06qa+vTy655JKyHkMlwTSfV111VVJbW5uMHTs2GTt2bLJ48eI93/F8uvHWW28ljY2NyRFHHJGM\nGjUque6665IkKf052qFksHv37mTYsGHJ2rVrk5aWlqShoSFZvXp1R5rUaTBkyJDkvffeK9j2wx/+\nMJk3b16SJEkyd+7c5PLLL0+SJEleeeWVpKGhIWlpaUnWrl2bDBs2LGlrayu7zZWCp556Klm5cmWB\n8wqZu/b29iRJkuToo49OVqxYkSRJkkyePDlZsmRJmY+kMmCaz1mzZiW//OUvi9ryfPqxadOmZNWq\nVUmSJMm2bduSww47LFm9enXJz9EOfRxFU1MT6uvrMWTIEFRXV2P69Ol46KGHOtKkToVEq9UsWrQI\nM2bMAADMmDEDDz74IADgoYcewplnnonq6moMGTIE9fX1XfoGwIkTJ2K//fYr2BYydytWrMCmTZuw\nbdu2PXfVn3322Xv26WowzSdgriXyfPpx0EEHYezYsQCAvn37YuTIkdiwYUPJz9EOJYMNGzZg8ODB\nez7X1dVhw4YNHWhR54Hp/o0tW7agpqYGAFBTU4MtW7YAEHWcurq6PfvyPBcjdO707bW1tTynGq6/\n/no0NDTgvPPOw9atWwHwfIZi3bp1WLVqFSZMmFDyc7RDySCXy3Xk8J0azz77LFatWoUlS5bghhtu\nwNNPP13wfS6Xc84vz70dvrlj+HHBBRdg7dq1ePHFFzFo0CBcdtllHW1Sp8P27dtx+umn47rrrkO/\nfv0KvivFOdqhZFBbW4vm5uY9n5ubmwuYjGGH6f6NmpoabN68GQCwadMmDBw4EEDxPK9fvx61tbXl\nN7qCETJ3dXV1qK2txfr16wu285zmMXDgwD0O67vf/e4eWZLnk4bW1lacfvrpOOuss3DaaacBKP05\n2qFkMH78eKxZswbr1q1DS0sLFi5ciKlTp3akSZ0Ctvs3pk6digULFgAAFixYsOckmjp1Ku6++260\ntLRg7dq1WLNmDT9BVkPo3B100EHYd999sWLFCiRJgjvuuGPPPgzhrCQeeOCBPfcX8Xz6kSQJzjvv\nPBxxxBG49NJL92wv+Tlamno4HYsXL04OO+ywZNiwYcmcOXM62pxOgTfeeCNpaGhIGhoaklGjRu2Z\nt/feey/5yle+Ylx6ds011yTDhg1LDj/88GTp0qUdZXpFYPr06cmgQYOS6urqpK6uLrn11ltTzZ1c\ntjds2LDk4osv7ohDqQjo83nLLbckZ511VjJmzJjkyCOPTE499dRk8+bNe9rzfLrx9NNPJ7lcLmlo\naNizNHfJkiUlP0dzScLPgWAwGIyuDv5PZwwGg8FgMmAwGAwGkwGDwWAwwGTAYDAYDDAZMBgMBgNM\nBgwGg8EA8P8BAJY4V19owjoAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(modulated[:2000])" ] }, { "cell_type": "markdown", "id": "96f9de00", "metadata": {}, "source": [ "# Decoding with Windowed Fourier Transform" ] }, { "cell_type": "code", "execution_count": 146, "id": "f850369c", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 146, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAD9CAYAAABdoNd6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5CygsBcROQso7EVEzgL/H2QPKIc3AeguAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(abs(fft(modulated[0:512])))\n", "plot(abs(fft(modulated[512:1024])))\n", "plot(abs(fft(modulated[1024:1536])))" ] }, { "cell_type": "code", "execution_count": 147, "id": "7cdc103c", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 147, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAD9CAYAAAC2l2x5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH0uzG1PxRb46AAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(abs(fft(modulated[0:512]))[20:80])\n", "plot(abs(fft(modulated[512:1024]))[20:80])\n", "plot(abs(fft(modulated[1024:1536]))[20:80])" ] }, { "cell_type": "code", "execution_count": 148, "id": "cbec3924", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 148, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAChCAYAAADjnoVnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws = 512\n", "step = 16\n", "result = []\n", "for i in range(0,len(modulated)-ws,step):\n", " ft = abs(fft(modulated[i:i+ws]))\n", " result.append(ft)\n", "result = array(result)\n", "imshow(result[:200,1:80].T)" ] }, { "cell_type": "code", "execution_count": 149, "id": "ed3b2d81", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 149, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD9CAYAAABeOxsXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGAwGgwHGGRgMBoMBxhkYDAaDAcD/B/gUId87HXOyAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fsignal = argmax(result[:,3:result.shape[1]/2],axis=1)\n", "fsignal = fsignal-mean(fsignal) \n", "plot(fsignal[:3000]/amax(fsignal))\n", "plot(signal[:48000:16])" ] }, { "cell_type": "code", "execution_count": 150, "id": "2421ee02", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The quick brown fox jumped over the lazy dogs.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD9CAYAAABeOxsXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print signal_decode(fsignal,subsample=1,nplot=1000)" ] }, { "cell_type": "code", "execution_count": 151, "id": "705470e0", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def fft_fm_demodulate(modulated,nplot=0,lo=1,hi=80):\n", " ws = 512\n", " step = 16\n", " result = []\n", " for i in range(0,len(modulated)-ws,step):\n", " ft = abs(fft(modulated[i:i+ws]))\n", " result.append(ft)\n", " result = array(result)\n", " if nplot>0: imshow(result[:nplot,lo:hi].T)\n", " fsignal = argmax(result[:,lo:min(hi,result.shape[1]/2)],axis=1)\n", " fsignal = fsignal-mean(fsignal)\n", " return fsignal" ] }, { "cell_type": "code", "execution_count": 152, "id": "31bd1ad4", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'The quick brown fox jumped over the lazy dogs.'" ] }, "execution_count": 152, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAD9CAYAAAC1DKAUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAHBdJREFUeJzt3X9s1GcdB/D3DYrTOcJwUJB2oWmhXaFClzLnkpnLtoJE\n2sEwOJwjA7aY4VwUJtsfzrWa8UNDJm4uomHKMGG4TJxR6SjBQ+L44QSSuU5lpo0dlKpAJ7Af5cfj\nH5f2uPbgrvd9vnef+3zer4QIXe/5fp/nPs/zfp67Xo045xyIiMicq/J9A0RElB8MACIioxgARERG\nMQCIiIxiABARGcUAICIyKnAALFmyBMXFxaipqen/WlNTE0pKSlBbW4va2lq0tLQEvQwREXkWOAAW\nL148aIGPRCJYvnw5Dh06hEOHDuFzn/tc0MsQEZFngQPgtttuw3XXXTfo6/x8GRGRbKG9B/DMM89g\n2rRpWLp0KXp6esK6DBERZSni41dBdHR0oKGhAW+88QYA4N///jfGjBkDAHjiiSfQ1dWFjRs3Jl84\nEgl6WSIik3y9whLKCWDs2LGIRCKIRCJ44IEHcODAgZTf55zjH+fw5JNP5v0epPzhWHAsOBZX/uNT\nKAHQ1dXV//dt27Yl/YQQERHJMDxoAwsXLsTu3bvx3//+F6WlpWhubkYsFsPhw4cRiURQVlaGDRs2\n+LhXIiLyKHAAbNmyZdDXlixZErRZU6LRaL5vQQyORQLHIoFjEQ4vbwJndeFIxPvrWURE2vlcO/mr\nIIiIjGIAEBEZxQAgIjKKAUBEZBQDgIjIKAYAEZFRDAAiIqMYAERERjEAiIiMYgAQERnFACAiMooB\nQERkFAOAiMgoBgARkVEMACIioxgARERGMQCIiIxiABARGcUAICIyigFARGQUA4CIyCgGABGRUQwA\nIiKjGABEREYxAIiIjGIAEBEZxQAgIjKKAUBEZBQDgIjIKAYAEZFRDAAiIqMYAERERjEAiIiMYgAQ\nERnFACAiMipwACxZsgTFxcWoqanp/9rJkydRX1+PyZMnY+bMmejp6Ql6GSIi8izinHNBGtizZw8+\n/vGPY9GiRXjjjTcAACtXrsT111+PlStXYu3atTh16hTWrFmTfOFIBAEvPSTnzwPvvhusjeuuA67K\n85nJOeDUqfj/Zuvaa4ERI/zdUyE7dw743/+CtTF6NBCJ+LmfbDkHnDwZrI2RI4GiIj/3U+g+/BA4\ncyb7x0ci8fUijLrwuXYGDgAA6OjoQENDQ38AVFVVYffu3SguLsbx48cRjUbxt7/9LfnCOQ6AlSuB\nH/0IuPrq7B7/3nvAd78LPPqo3/saqm3bgC9+Mb6IZ6O3F5g5E3j5Zb/3VaiWLAF++UvgIx/J7vFn\nzgAbNgD33+/1tobsJz8BHnkEuOaa7B7/4YfAl78M/PjHfu+rUDU0ALt3Zx+Ip08Dv/oVMGeO3/sC\n/K6dw720MkB3dzeKi4sBAMXFxeju7k75fU1NTf1/j0ajiEajYdwOAODsWeB73wO++tXsHv/kk/E2\n8u3MmXgAbN6c3eO3bwd++EO/91TIzp4FNm6Mj2k2li2TUxcPPQQ8/XR2j9+8GWht9XtPhezsWeDX\nvwZuvz27xy9Y4K8uYrEYYrGYn8YGCCUALhWJRBC5zDno0gAIW9DAjESCt+GDc8GPlRL6IQXrIrkN\nipNUFwM3x83NzX4aRkg/BdT30g8AdHV1YezYsWFcJuckTBAJ96BNkIVTUgCQLIXwnIQSAI2Njdi0\naRMAYNOmTZg7d24YlxmSoDskSRNdQz+k8DEWEsaTdeGXlfEMHAALFy7Erbfeir///e8oLS3Fz372\nMzz++ONobW3F5MmTsWvXLjz++OM+7jWvpDyhPo765A/rglKRUhfpBH4PYMuWLSm/vnPnzqBNe6Ul\n0bX0Qwot46mlH1JYGU9+EjhDUp5Q7vRkYV1QKlLqIh0zAaAl0bX0Qwot46mlH1JYGU8zARCUlCeU\nOz1ZWBeUipS6SMdMAGhJdC39kELLeGrphxRWxtNMAAQl5QnlTk8W1gWlIqUu0jETAFoSXUs/pNAy\nnlr6IYWV8TQTAEFJekK505ND0nMh6V6sK5TnwlQAaEh0HzsTStCy09PSD0ksjKeZAJD0y52C4C/9\nkkVTXVCClvUiHTMBAOhIdJ4A/NKyc9bSD0ksjKeZANCS6DwByKKpLihBy3qRjpkAAHTsnHkC8E/D\nTo914Z+GukjHTABoSXSeAPxiXSS3QXFa6iIdMwEA6Eh07vT8Y12wLlLRUBfpmAkALYnOnZ5frIvk\nNihOS12kYyYAAB2Jzp2ef6wL1kUqGuoiHTMBoCXRudPzi3WR3AbFaamLdMwEAKAj0bnT8491wbpI\nRUNdpGMmALQkOnd6frEuktugOC11kY6ZAAhKyhPKD/z4p2Gnx7qQRUpdpGMmALTskKzsTHJFy3hq\n6YcUWtaLdMwEQFBSJgh3ev7xBEC+SamLdMwEgJZflqWlH1Jo2TmzLvyyMp5mAiAoKU8od3r+aZjo\nrAtZpNRFOmYCQEuia+mHFDwBxEnphxRWxtNMAAQl5QnlTs8/DROddSGLlLpIx0wAaEl0Lf2QgieA\nOCn9kMLKeJoJgKCkPKHc6cnCuqBUpNRFOqYCQEOi8yP/fmnZ6WnphyQWxtNMAPCon9wG+SNhPHkC\n8EvLepGOmQAA9CQ6TwD+aDpRaalvKbTUxZWYCQAtic4TgCya6oIStKwX6ZgJAEDHDknTjlUCLa+d\na+mHJBbG00wAaEl0ngBk0VQXlKBlvUjHTAAAOhKdJwC/tOyctfRDEgvjOTzMxidOnIiRI0di2LBh\nKCoqwoEDB8K83BVpSXSeAGTRVBeUoGW9SCfUAIhEIojFYhg9enSYl8mYhkTnCcAvLTtnLf2QxMJ4\nhv4SkBMyCloSnScAWTTVBSVoWS/SCTUAIpEI7rzzTtTV1eGnP/1pmJfK8H6CPVbCE8oTgF9ads5a\n+iGJhfEM9SWgP/3pTxg/fjz+85//oL6+HlVVVbjtttv6/3tTU1P/36PRKKLRaGj3oiXReQKQRVNd\nUIKP9eLiRT/3EovFEIvF/DQ2QKgBMH78eADAmDFjMG/ePBw4cOCyASAdJ7peGnZ6rAtZfNbFwM1x\nc3Ozn4YR4ktA7733Hk6fPg0AOHv2LHbs2IGampqwLpeWliOyln5IwZNhnJR+SGFlPEM7AXR3d2Pe\nvHkAgPPnz+Pee+/FzJkzw7pc6KQ8odzp+adhorMuZJFSF+mEFgBlZWU4fPhwWM0PmZYJomXHKoWW\n8dTSDymsvNdm6pPAQUiZIFqCTBKeAMg3KXWRjpkA0PKanpZ+SKFl58y68MvKeJoJgKCkPKHc6fmn\nYaKzLmSRUhfpmAkALYmupR9S8AQQJ6UfUlgZTzMBEJSUJ5Q7Pf80THTWhSxS6iIdMwGgJdG19EMK\nngDipPRDCivjaSYAgpLyhHKn55+Gic66kEVKXaRjKgA40blIDMQTQJyUfkhiYTzNBAAnenIblKBh\novME4JeW9SIdMwEA6JjoAE8APvmY6FJoqW8pLMwzMwGgJdF5AvBPw8LJE4BfWtaLdMwEAMCJDnCR\nGEjLROd7AP5ZGE8zAcCJntwG+aGpLihBy3qRjpkAAHQkOk8AfmnZOWvphyQWxtNMAGhJdJ4AZNFU\nF5SgZb1Ix0wAADoSnScAv7TsnLX0QxIL42kmALQkOk8AsmiqC0rQsl6kYyYAAB2JzhOAX1oClScA\n/yyMp5kA0JLoWhYsLTTVBSVoWS/SMRMAQUl5QjnR/dKyc+bGQBYpdZGOmQDgRI+T0g8tpIwnXxr0\ny8o8MxMAQUl5QnkC8EvLROcJQBYpdZGOmQDgRI+T0g8tpIwnTwB+WZlnZgLABwlPqIR70ETLRPdx\nDxL6oUkhjKeZANA00TX0Qwsp48kTgF9W5pmZAAhKyhPK9wD80zDRWReySKmLdMwEgJZE19IPKbT8\nvDfrwi8r42kmAIKS8oRyp+efhonOupBFSl2kYyoAONG5SAzEE0CclH5IYmE8zQQAJ3pyG5SgYaLz\nBOCXlvUiHTMBAHCiA1wkBtIy0XkC8M/CeJoJAB8TXQKeAPzTMNF5AvBLy8YgHTMBAHCiA1wkBtIy\n0XkC8M/CeJoJAC0THeAJwDctgSrpXgqdllcM0jETAICOROcJwC8tGwOeAPyzMJ5mAoATPbkNStAw\n0fkegF9a1ot0QguAlpYWVFVVYdKkSVi7dm1YlxkSTnQuEgNpmeg8AfhnYTxDCYALFy7g4YcfRktL\nC9ra2rBlyxa89dZbYVwqY5zoyW1QgoaJzhOAX1rWi3SGh9HogQMHUFFRgYkTJwIA7rnnHrzyyiu4\n8cYbk75vxozM2hs1Cnj1VeCqgHEVZIKMGAG8/Xbm9xyWI0eABx/M/vG+Fon77wfefNNPW9maOBF4\n6aVgbQSdpCNGAH/+c/7r4q23gKKi7B/va8GaOxc4ejR4O0EUFQEvvwyMHx+snaDrRWtr/usinVAC\n4OjRoygtLe3/d0lJCfbv3z/o+557LrP2brkFuHAhWAAELe7KSmDvXuDcuWDtBHXVVcC0acHa8DHR\nd+0Cnn02+CTL1unTwN13+2kryET/zGeA3bvj9ZlPw4cHrwsfXn01/uejH83fPdx7L3D8eLDaDDpH\n5syJB0AYp4Cbb/bXVigBEMlwRv3ud039f49Go4hGo5dpL//HqUgEmD49v/cgiXPx8bjhhvxcv6dH\nxv8JyrBhwE03Bb8PCXyNZ10d8LGPBW8rW9dck//1oqgoPg4+xGIxxGIxP40NEEoATJgwAZ2dnf3/\n7uzsRElJyaDva2pqyqg9HwHA10jjfIVpvsdTwqZAE1/PZb7rAtC3XgzcHDc3N3trO5Q3gevq6nDk\nyBF0dHSgt7cXW7duRWNjY9btcbLLk+8JoiXIJNEynlwvMhfKCWD48OF49tlnMWvWLFy4cAFLly4d\n9AbwUGhL9HzSsnBykvvFE0AyCf3IhVACAABmz56N2bNne2mLk12efE8QLUEmiZbx5HqRuYL4JLCP\ngpJQmBJoWTj5XPrlczzz/dzwBJC5ggkAJros+Z4gWoJMEi3jyfUic2YCQEJhSqBl4eQk94vvASST\n0I9cMBMA5J+GALAy0TOhZTzzff1CYiYAJBSmBFoWTm4K/OJ7AMnyXd+5YiYAyK98TxAtQSaJj0UT\nyP94cr3InKkAyHdhSqDltV5Ocr98/aSdBFwvMmcmAKQUpwQads48Afin5WUTrheZMxMAfe1YxxMA\npaLpszZcLzJnJgC4WCRo2Dn7DAALEz0X8l0TfbheZM5MAPS1Yx1PAMmsTPR0NP3kDNeLzJkJAE70\nBC0nAIltWZbvmujD9SJzZgKgrx3rtJwALr2PfD5eC54AUrejXUEEAMCJ7pOml0440eWQEgAA14tM\nFUQAMNH90XQC4FHfH54AUrejnZkA4ERP0PAeAMCJLo2EmgC4XgyFmQDoa8c6ngCSWZno6fAEkLod\n7cwEACd6Ak8Ag9uh4CTUBMD1YijMBAD5JWGyc6L7xROAPWYCQEpx5pum36HDE4A//FUQyaT0JWxm\nAoD8kjBBeALwS8tYcr3InJkAkLBgScATQOp2rOMJIJmUvoTNTACQXxImCE8AfmlZNLleZM5MAEgp\nznzjCSB1O9bxBJBMSl/CVjABQLJImCCa/l+sJNASpjwBZK5gAoCJ7oem36PPie4PTwDJpPQlbGYC\ngPzpey7yPUE40f3SMpZcLzJnKgAkFGe+aXrZhBPdH54AUrejnZkA4EKRwJ1egpS+SKBlLLleZM5M\nAPS1Yx13epQK6yJ1O9qZCQAuFAnc6SVI6YsEWsaS60XmzARAXzvWcadHqbAuUrejnZkA4EKRwJ1e\ngpS+SKBlLLleZM5MAPS1Yx13epQK6yJ1O9qZCQAuFAnc6SVI6YsEWsaS60XmzARAXzvW+RoDCWPJ\nE4A/2k4AktqRLJQAaGpqQklJCWpra1FbW4uWlpZA7THR/eJOL0FKXyTQMpZcLzI3PIxGI5EIli9f\njuXLl3trkycAPzR9EhiQdS+FTNMJAOB6kanQXgJyHmcmE90v7vQGt0PBaaoLK+tFKCcAAHjmmWfw\nwgsvoK6uDuvWrcOoUaMGfU9TU1P/36PRKKLRaMq2ONH90bTT40T3R9PLadrWi1gshlgsFkrbWQdA\nfX09jh8/PujrTz31FB566CF8+9vfBgA88cQTWLFiBTZu3Djoey8NgCvhRPeLE31wOxScprqQtF4M\n3Bw3Nzd7azvrAGhtbc3o+x544AE0NDRkexkA/GkPaTjRdeLGwJ5Q3gPo6urq//u2bdtQU1MTqD1N\nx9N80zSWPAH4w5cGU7ejXSjvATz22GM4fPgwIpEIysrKsGHDhkDtMdFl0TTRWVcJ3BjYE0oAvPDC\nC17b07RrzTdNY8mdnj88AST0PVZCX8Jm6pPA5IeWiQ6wri7FjYE9ZgJASnHmm6ax5AnAH54AEiyF\nR8EEAMkhaaIHZWmyp6MlTHkCyFzBBICWXWu+aRpLngD84QkgQUo/csFMAJA/UiYI3wPwixsDe0wF\ngITizDfu9FK3Yx3rYnAbFpgJAO4IErjTS2BdJLAu4izVhJkA6GvHOu70UrdjnaY31HkCyJyZAJBS\nnBJwp5fAukhgXcRZqgkzAdDXjnU8AVAqrIvBbVhgJgC4UCRwp5cgpS8SaBlLngAyZyYA+tqxjjs9\nSoV1MbgNC8wEABcKfzRNdCl9kUDLWPIEkDkzAdDXjnXc6VEqrIvBbVhgJgC4UCTT8FF5ngD80jKW\nPAFkriACAOAJQBJJE0TSvRQyTScAgCeATBVEAPAE4B9PAHFS+iKBlrHkCSBzZgKA/NEy0ckv1kXh\nMRMAUopTAi2/Lpd14Y+msdRS37lgJgDIHykThHUhC+ui8JgJACnFKYGWHRLrwh9NY6mlvnPBTACQ\nP1ImCOtCFtZF4TETAFKKUwItH5RhXfijaSyD3oOUfuSCmQAgf6RMENaFLKyLwmMmAKQUpwRaXiPl\nrwjxR9MHwbTUdy6YCQDyR8oE4QcE/dKyyeJ6kbmCCQBJ7RQ6La+Rsi780TSWWt7jyoWCCQDu9PzS\ncERmXfjFE0CcpZowEwB97ZCuEwDrwg++BzC4DQvMBIClVM8ETwBxrIsEngDiLNWEmQDoa4d4AkjV\njnU8AQxuwwIzAWAp1TPBE0Ac6yKBJ4A4SzVhJgD62iGeAFK1Yx1PAIPbsMBMAFhK9UzwBBDHukjg\nCSDOUk2YCYC+dogngFTtWMcTwOA2LMg6AF566SVMmTIFw4YNw8GDB5P+2+rVqzFp0iRUVVVhx44d\ngW9S+04vFovl/JpSTwBDGQvWhV+STwC5rAvJNeFb1gFQU1ODbdu24bOf/WzS19va2rB161a0tbWh\npaUFy5Ytw8WLFwPdpPadXq4nuuQTQK4DoK8diXJZF9JPALmuC6k14dvwbB9YVVWV8uuvvPIKFi5c\niKKiIkycOBEVFRU4cOAAbrnllqxvMhIBtm4F/vrXrJvAmTPZP1aj5mZgxIjsHnv0qIwJEokAzz8P\n/OEP2bdhabeXzrlzwLe+lf3j335bTl3EYtn35f33vd6OaFkHwOUcO3YsabEvKSnB0aNHA7X50EPA\nnj3B7us73wGuvz5YG1qsXw8cP57948vLgbvu8nc/2VqxAvjLX4K18eyzwFUF8U5YuK6+Gnj6aeDd\nd7NvY+pU4Oab/d1Ttu6+O1iwX301sG6dv/uR7IoBUF9fj+MpVopVq1ahoaEh44tELrMtuNzXw/Lo\nozm93JA0Nzfn+xbEyPVYPPxwTi83JKyLhFyPxZIlOb1cXlwxAFpbW4fc4IQJE9DZ2dn/73feeQcT\nJkwY9H2OZ28iorzycvi9dDFvbGzEiy++iN7eXrS3t+PIkSO4WcK5kIiIkmQdANu2bUNpaSn27duH\nz3/+85g9ezYAoLq6GgsWLEB1dTVmz56N5557Lucv9RARUQZcHmzfvt1VVla6iooKt2bNmnzcQk79\n61//ctFo1FVXV7spU6a49evXO+ecO3HihLvzzjvdpEmTXH19vTt16lT/Y1atWuUqKipcZWWle/XV\nV/N166E4f/68mz59upszZ45zzu44OOfcqVOn3Pz5811VVZW78cYb3b59+0yOx6pVq1x1dbWbOnWq\nW7hwofvggw/MjMPixYvd2LFj3dSpU/u/lk3fX3/9dTd16lRXUVHhHnnkkYyunfMAOH/+vCsvL3ft\n7e2ut7fXTZs2zbW1teX6NnKqq6vLHTp0yDnn3OnTp93kyZNdW1ub++Y3v+nWrl3rnHNuzZo17rHH\nHnPOOffmm2+6adOmud7eXtfe3u7Ky8vdhQsX8nb/vq1bt8596Utfcg0NDc45Z3YcnHNu0aJFbuPG\njc45586dO+d6enrMjUd7e7srKytzH3zwgXPOuQULFrif//znZsbhj3/8ozt48GBSAAyl7xcvXnTO\nOTdjxgy3f/9+55xzs2fPdtu3b0977ZwHwGuvveZmzZrV/+/Vq1e71atX5/o28uquu+5yra2trrKy\n0h0/ftw5Fw+JyspK51w84S89Gc2aNcvt3bs3L/fqW2dnp7vjjjvcrl27+k8AFsfBOed6enpcWVnZ\noK9bG48TJ064yZMnu5MnT7pz5865OXPmuB07dpgah/b29qQAGGrfjx075qqqqvq/vmXLFveVr3wl\n7XVz/hPQR48eRWlpaf+/fXxOoJB0dHTg0KFD+PSnP43u7m4UFxcDAIqLi9Hd3Q0g/lmKkpKS/sdo\nGqNvfOMb+P73v4+rLvnhe4vjAADt7e0YM2YMFi9ejJtuugkPPvggzp49a248Ro8ejRUrVuCGG27A\nJz/5SYwaNQr19fXmxuFSQ+37wK9PmDAhozHJeQBYfkP4zJkzmD9/PtavX49rr7026b9FIpErjo2G\ncfvtb3+LsWPHora29rI/BmxhHPqcP38eBw8exLJly3Dw4EFcc801WLNmTdL3WBiPf/7zn/jBD36A\njo4OHDt2DGfOnMEvfvGLpO+xMA6Xk67vQeQ8AAZ+TqCzszMpubQ6d+4c5s+fj/vuuw9z584FEE/2\nvg/adXV1YezYsQAy/yxFoXnttdfwm9/8BmVlZVi4cCF27dqF++67z9w49CkpKUFJSQlmzJgBAPjC\nF76AgwcPYty4cabG4/XXX8ett96KT3ziExg+fDjuvvtu7N2719w4XGooc6KkpAQTJkzAO++8k/T1\nTMYk5wFQV1eHI0eOoKOjA729vdi6dSsaGxtzfRs55ZzD0qVLUV1dja9//ev9X29sbMSmTZsAAJs2\nbeoPBq2fpVi1ahU6OzvR3t6OF198Ebfffjs2b95sbhz6jBs3DqWlpfjHP/4BANi5cyemTJmChoYG\nU+NRVVWFffv24f3334dzDjt37kR1dbW5cbjUUOfEuHHjMHLkSOzfvx/OOWzevLn/MVfk4w2Mofr9\n73/vJk+e7MrLy92qVavycQs5tWfPHheJRNy0adPc9OnT3fTp09327dvdiRMn3B133JHyR72eeuop\nV15e7iorK11LS0se7z4csVis/6eALI/D4cOHXV1dnfvUpz7l5s2b53p6ekyOx9q1a/t/DHTRokWu\nt7fXzDjcc889bvz48a6oqMiVlJS4559/Pqu+9/0YaHl5ufva176W0bUjzvF3MhARWcTfg0hEZBQD\ngIjIKAYAEZFRDAAiIqMYAERERjEAiIiM+j/jx/NC50cDhgAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fsignal = fft_fm_demodulate(modulated)\n", "plot(fsignal[:1000])\n", "signal_decode(fsignal,subsample=1)" ] }, { "cell_type": "markdown", "id": "da21adf8", "metadata": {}, "source": [ "# Decoding with Quadrature" ] }, { "cell_type": "code", "execution_count": 153, "id": "d6698142", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 153, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD9CAYAAAC4EtBTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXt8FeW5738ryco9EIIkQIJGkwARMVAD1gsaCwHxEm+t\nl6qlSi3bXav10kp3vYCnKOpmq5W9z6Yea6HHrVhbAQVToZh6QaVHoVZQCQoSAokhFxJyT5jzx+OT\neWfWzLqvrFnJ8/188llrzZqZNZnL+3t/z/NeXJqmaRAEQRCEb4iL9gEIgiAIzkKEQRAEQTAgwiAI\ngiAYEGEQBEEQDIgwCIIgCAZEGARBEAQDIQtDZWUlJk+ejKKiIjz66KMe33/22Wc466yzkJycjBUr\nVhi+y8/Px+mnn47p06dj5syZoR6KIAiCEAYSQtm4v78ft912G7Zs2YLc3FzMmDEDFRUVKC4uHlhn\n9OjRePrpp7Fu3TqP7V0uF6qqqpCVlRXKYQiCIAhhJCTHsH37dhQWFiI/Px9utxvXXnst1q9fb1hn\nzJgxKC0thdvtttyH9K8TBEFwFiEJQ21tLSZMmDDwOS8vD7W1tX5v73K5MGfOHJSWluKZZ54J5VAE\nQRCEMBFSKMnlcoX04++++y7GjRuHhoYGlJeXY/LkyZg1a1ZYf0MQBGG4EmxEJiTHkJubi5qamoHP\nNTU1yMvL83v7cePGAaBw0xVXXIHt27dbrqdpmvxpGh588MGoH4NT/uRcyLmQc+H9LxRCEobS0lJU\nV1dj//796Onpwdq1a1FRUWG5rvlAOzo60NbWBgBob2/HG2+8galTp4ZyOIIgCEIYCCmUlJCQgJUr\nV2LevHno7+/HwoULUVxcjFWrVgEAFi1ahLq6OsyYMQOtra2Ii4vDU089hd27d+Prr7/GlVdeCQDo\n6+vD9ddfj7lz54b+HwmCIAgh4dJC9RwRxuVyhWyLhgpVVVUoKyuL9mE4AjkXOnIudORc6IRSdoow\nCIIgDEFCKTtlSAxBEATBgAiDIAiCYECEQRAEQTAgwiAIgiAYEGEQBEEQDIgwCIIgCAZEGARBEAQD\nIgxDkN27gc7OaB/F8EXTgI6OaB+FIASPCEOM0dEBtLTQ+54een35ZSA3lwqk/n5g7lzgscc8t+3t\n9VymacDmzUBzc+SOeThw/Dhw5Ai9v+EG4KSTwrNfTQP++Eegr8/zu88+Ax56KDy/IwgqIgwxxl13\nUcEDAElJwK9+RYXDoUPA/v3A228D8fHAypWehckFFwAvvQT84hfAO+/Qsl//moTk5Zc9f2v9eqCq\nKpL/zdDgnXeAUaNInL/8Evif/9HFO1COHyeh7u+nz488Alx9NfDBB0BjI10/5uKLgQcfDP34BcGM\nDIkRQzQ3A6ecArhcwJYtwBlnkDjExQGzZgE33QR8+CGQkQG88grw9NPAueeSYMyaReIxezawYwdQ\nXg789rfA2LHAj34EJCQA//7vxt+bNo22XboUuOMOqr3K9Bg6vb3A44+TGJ97LvDJJ3R+9u6l919/\nDaSne9/Hs88CBw4A990HuN3AAw8Ay5cDl1wCnH02XZNp00jU+/rICTY2knMcOZLuhy++GJz/V4gt\nZEiMYcLvfw/Mnw/8/OckCjNmUMhizBgqOLZtA7ZuBb7zHVrv9ddpuyeeoHVffJFEAQA2bKACLD+f\ntv30U2DnTirYOjqA1lb6/s03qfB79VXgu9+N1n/uTF59lWrslZV0Dr//feCFF+hcFxXp5xoA/u3f\n6LqZeegh4De/AX74Q3ILr78O/O53wMSJlCuaM4eEe/VqEvqEBODvf6frMm4cVQwEIdyENOy2MLj8\n+c/A/fcD559PtdEzzgDeeAOor6ca5uzZQFcXMHMmrX/77cCyZVRwvfwyMHUquYZPPqEw0bZtQEEB\nMHkyxat/8Qva7r33qJD61reotpqUBCxeTOs0NJAQCSSg8+eTkyotpRr/JZcAV1xBoaDzzgOOHQPS\n0oDnnydn8MtfAllZtH1dHQlwTQ0JyYgRQHs7cNVVergQIGdSXw8UFlJo74UX6Lcvvhh4662o/OvC\nEEeEIYbo6qJYdlISuQCACqOvvgJOO41qkDfeCCQmAt/+NtVYL76YCp7iYlr/jjuo0N+xg9xFQQGF\nI5qaqKD6138F/vIXYPRoKuxcLuDOO4Gf/pQ+b90KXHNN9M6Bk+jvp+uxerW+7NVX6XXOHAoxffkl\nXZvmZiA7m4SZheGvfyWnkZ5OYb3f/Q5Ytw5ISTH+jtsN/OQn9H7aNODUU+m3168n5yAI4UZCSTHE\n8eOUT1C55hq9pr9tGyWnAQo5PPkksGkTNV1NUKoAcXHAiSdSoVJYSAXPddeRePzkJ1S7feopoKSE\n1r/tNhKXKVOkGaxKXx8l+u0oKADefZfCQm1tdP4OH9a/37KFBAQALr2U8kK+mrnm5FAYcPFiuoac\npBaEcCKOIYawEgaV1FTj5zvuoPDRwYOe6554IrmE00+nz/ffT7XbU0+lljALFujfAUBeHomLFEQ6\n/f1GwTVTWAjceitds8REcnQsDJ2d5Mx++UvjNma3YMU559DfgQPWzVgFIVREGGIIX8JgxXe+Y728\nvZ1ezzqLXseNoz8AuPxyEohTTzVuEx8vBZGKL8eQmUmvDQ3kypYuJWHo7gZ+/GPKFU2cGPzvx8eL\nUAuRQYQhhujvD1wY7PjJTyi5bFWwjRgB7NrluTwhQYRBxZdjqKgAjh7VcwrjxlEC/5RTqIHAH/4Q\n2u+LgxMihQhDDBGMY7Bj2jT6CwQpiIz093t3DOZzPH48NVudP5/yCaEiDk6IFCIMMcTx494Lokgj\nBZERX6EkM+edR/0VbrklPL8voSQhUogwxBDhdAzBIKEkI75CSWZyc4FVq8L3+yIMQqSQ5qoxhBOE\nQQoinUAdQ7iR6yFEipCLmcrKSkyePBlFRUV49NFHPb7/7LPPcNZZZyE5ORkrVqwIaFvBSLSFQUJJ\nRgJ1DOFGrocQKUIqZvr7+3HbbbehsrISu3fvxgsvvIBPP/3UsM7o0aPx9NNP45577gl4W8FIOFsl\nBYOEkoxE2zFIKEmIFCEVM9u3b0dhYSHy8/Phdrtx7bXXYv369YZ1xowZg9LSUrjd7oC3FYxE2zFI\n6MKIExzD8eM0VpMghJOQbuva2lpMmDBh4HNeXh4++OCDsG+7ZMmSgfdlZWUoKysL6nhjHWmV5Cx8\nNVeNNC4XVRSifV8IzqCqqgpVYZpAJSRhcIUwOH8g26rCMJxxgmMQYdCJdigJ0MU62schRB9zpXnp\n0qVB7yukYiY3Nxc1NTUDn2tqapCXlxfxbYcrThAGCSXpRDuUBEieQYgMIRUzpaWlqK6uxv79+9HT\n04O1a9eioqLCcl3zTEKBbCsQ0RYGCSUZcUJNXYRBiAQh1XcSEhKwcuVKzJs3D/39/Vi4cCGKi4ux\n6ptePIsWLUJdXR1mzJiB1tZWxMXF4amnnsLu3buRnp5uua1gj7RKchZOcAxyTYRIIHM+xxCZmcC+\nfTQ5TDR45hmaVvK3v43O7zuNH/+YZtFbtCh6xzB6NPD558AJJ0TvGARnInM+DxOi3fpEQklGnOAY\nJJQkRAIRhhgi2jkGCVsYcUKOQRoECJFAhCGGcIIwSCGkE+1+DIC4OCEyiDDEENEWBimEjEgoSRiq\niDDEENIqyVk4IZQkwiBEAhGGGCLajkFCSUac4BjkmgiRQIQhhpBWSc7CKY5BrokQbkQYYgRujhzC\n8FQhI6EkI05wDBJKEiKBCEOMEO0wEiBhCzNOcQxyTYRwI8IQIzhBGCRsYcQJzVVFrIVIIMIQI0S7\nRRIgoSQzTgklyTURwo0IQ4zgBMcgwmBEQknCUEWEIUaIdoskQAohM05wDBJKEiKBCEOMII7BeTjF\nMcg1EcKNCEOMIMLgPJzgGMTFCZFAhCFGcIIwSCFkxCmOQa6JEG5EGGIEJwiDOAYj0lxVGKqIMMQI\n0lzVeTgllCTXRAg3IgwxgrRKch4SShKGKiIMMYKEkpyHUxyDCIMQbkQYYgQRBufhBMcgOQYhEogw\nxAhOEAapnRpximMQsRbCjQhDjOAEYRDHYMQJjkHEWogEIRc1lZWVmDx5MoqKivDoo49arnP77bej\nqKgIJSUl2LFjx8Dy/Px8nH766Zg+fTpmzpwZ6qEMaaRVkvNwQnNVEQYhEoRkhPv7+3Hbbbdhy5Yt\nyM3NxYwZM1BRUYHi4uKBdTZt2oS9e/eiuroaH3zwAW699Va8//77AACXy4WqqipkZWWF9l+EkdZW\nIDkZSEyM9pEYkVZJzqOvL/qhJBFrIRKEVAfdvn07CgsLkZ+fD7fbjWuvvRbr1683rLNhwwYsWLAA\nAHDmmWeipaUF9fX1A99rPDWZQ7jnHmDt2mgfhScSSnIe4hiEoUpI9Z3a2lpMmDBh4HNeXh4++OAD\nn+vU1tYiJycHLpcLc+bMQXx8PBYtWoRbbrnF8neWLFky8L6srAxlZWWhHLZXjh4Fjh2L2O6DRoTB\neTgl+SzCIABAVVUVqqqqwrKvkG5rl58TENu5gnfeeQfjx49HQ0MDysvLMXnyZMyaNctjPVUYIk1X\nF9DdPWg/5zdOEIa4OJp72gnH4gSckHyW5qoCY640L126NOh9hfR45+bmoqamZuBzTU0N8vLyvK5z\n8OBB5ObmAgDGjx8PABgzZgyuuOIKbN++PZTDCQudnUBPT7SPwhOnFMZSEOk4xTGIixPCTUhFTWlp\nKaqrq7F//3709PRg7dq1qKioMKxTUVGBNWvWAADef/99ZGZmIicnBx0dHWhrawMAtLe344033sDU\nqVNDOZyw0NXlTGFwQqskQMJJjFOck4SShEgQUn0nISEBK1euxLx589Df34+FCxeiuLgYq1atAgAs\nWrQIF110ETZt2oTCwkKkpaXhueeeAwDU1dXhyiuvBAD09fXh+uuvx9y5c0P8d3S+9z2gtxdYty6w\n7To7JZTkDSmICA4j+RlNjRhyPYRIELIRnj9/PubPn29YtmjRIsPnlStXemx3yimnYOfOnaH+vC1f\nfgl89BGJg9vt/3ZOdQxOaK4KiGNg+voCu68iRXw83RuCEE4cUAeNDL299PpNtMpvJMfgHREGorc3\n+vkFgO4JcQxCuHFAURMZmprooWltDWw7aZXkHQldEIE60UghjkGIBA4oaiJDYyOQnx+4MIhj8I44\nBsIpoaS4OBEGIfw4oKgJP52d1GokJyfwUJJTcwzSKslZSCgpNvjxjwMvA4QhKgxNTUBWFjBiRGCO\nQdMklOQLCSUREkqKDZ55BqiujvZRxB4OKGrCT7DC0NtLD5kTHYPTWyV9/TVgGiZrSOOkUJIItTVd\nXfSanBzd44hFhrwwBGIj+UZyqjA4wTHYCcN77wHLlw/+8UQLp4SSYskx3Hcf8M47g/d7DQ30yi0U\nBf9xQFETGJWVwJEj3tdhYcjICMwxdHbSq4SS7LELJbW2kmsYLjgllBRLjmHZMuDXvx683+P7MZzP\n80MPAcrg0EMWBxQ1gfHII8Df/uZ9nbY2ID098FCSOAbf2DmGtjb/H5jXXwdMg/DGHE4JJcWSYwAG\nt1CNhDA8+CBVToc6DihqAsOuZtrTA5SW0kPS1QWkpHiGko4dA/bssd83OwYnCoPTWyW1tgLt7fTn\ni3XrgNdeC/+xDSZOCSXFWnPVujr9/VVXAa+8Ernf4nIi3M/ziBHh3Z8TcUBRExh2NdOmJuDDD+nG\n6+qihJM5lPTaa8DPfma/b3YMEkqyx240Tz7PHNf1RmsrUFvrfR1N829f0UJCScGhCsOf/wy8/HLk\nfivcjoEFJiVFX9bcTPfqUMMBRU1g2DmGpiZ6/fJLuhGSk4HMTKClxbjOoUPW+33tNRpbKS3NmY7B\nSa2S7HIMgH95Bn+E4Ze/BLKzAz++SKKGv5wiDLEUSsrIoFe1IOVlkYArFurz/Nhj/rlab/tTk9kX\nXQR8M1PxkGJICgM7hrw8QJkKAs3NwOHD1vtduZLaPI8c6VxhcIJj8BZKAvyLIR89ai/QzDeD8IaN\nVatCS463tQFnnaWLohPmewZixzFomnWoNpLC0NxMr6pjWLHCWCYEAguDur/9+4GDB4Pbn5NxQFHj\nPz09dFH8FYb8fLpwTEsLbWvVfK26mpQ/O1tCSd7wFkoaOTJ8joHdEVcEQg0rrVwJ7NgR/PatrVS4\nHT1Kn8UxBEZ3N92/7Mj5HkpJiVwopqUFSEoyPs9Hj+oh40Axh6Z6e6kipIbHhgoOKGr8hxPJdjmG\nxEQq4Lu66IYYO5ZuDq6pcA3CvH1Pj676t98ujsEb3kJJublGm/7pp9YOrbWVrgVfFyu6u4HRo0lA\nnngCePpp78f19deAaY4oAw0N+vUPhO5uYMoU3RFxBcQpwhArjqGtjdwBF9Tc5Ly7G5gxA/jpT+23\nfe894MABeu9y+X8dW1poWBx+nnlUA1UYPv/cf2Eyh6bq62nbodh81QFFjW94MpTWVmqGaucYzjwT\n+Oc/dccQFweceCLw1Ve0Dt9Q5sJq/34KO336KRUuThSGWGiVNG6cURhWrAD+53+s1x0zxnOoAm7Z\nBNA1LCggwW5oMOaKrNi3D9i2zfq748epIApEGH75S+Djj6kl2+7d+j3HwuCUUFKsOIbWVqMwvPkm\nLe/ooLDiypX2Anf22cC//ZtegHurUKi0tBgjAHwPqQ5i8mTg97/3b39mx8CuV4QhyrS1kQuwujGa\nmoBzz6XC5uhRvRu8Gk5qaQFSUz2FYc8eoLCQbhKz9XQKTnEM3kJJY8fSg64uM4u4ptHy2bMB8xTf\nS5cCv/mNPmZVQQE9fI2NvoXh669pHavaX0sLFTr+CkNnJx3Hu+/q9xpXLpzoGGJBGNraqJlnUhJd\n2+9/n5Z3dFCFAiARNsNOrahIvxbq//vkk/bPq9kxcBjQHEr68599H/+3vw1s3Ejvu7uBf/wD2LqV\n7gERhijCBcoJJ9CFNhcATU0Uyjj5ZGDnTl0YRo/WH+bmZqC42DPx+fHHwOmn0/vERGc6hlholWQl\nDOaHprOTzvG553q25ti3j+K1fX3kEidMIBFvbNQfapVXXgFWr6b39fV0XOrvMxwC8FcY3nyT9lNd\n7SkMjY10fC0tzhEGp4WSNA146SU6riefpGVqKIlDwpddRueZn0+r4Wv+/nd67e/Xv1efzzvv1N2H\nGRYGs2NgYWCB2bMH+MEPvOcKPvgA+OtfqQLZ0wNccQW5mLFjJccQVXp7qaDJzLSutfIwGJMnU0iI\nhSElxZhjKC72dAw7dwLTptF7t5v27bRamFMcg1UoSdPooRs/3hhKsnIMra1UczzjDM9kcE0NFeIc\nCkxLo4LDzjHccQfwwx/Se/4dKwEJVBi++ooe+D179EKEY9xNTcAf/wj86786QxicEkrq7ycxf/NN\nqvlfcw3w/PNUcPf3G0NJPDLBTTfR/dLURAW46hj++7/pXuPr2damf2+uuP3jH57Hw/dkdra+vlkY\neN89PcAf/gBs2eL7/5wyhYQmJYXWf/FFcQxRpavLM4GlsnMn2c3MTHpQ7ITh1FO9C4PLRTVapw28\n5RRhsBLl5mY63yec4NsxsDAUFJBDUDlwwCgMfJ3tHMMpp+jvvQnDkSPWSct166wH/uvooPvByjE0\nNVHLN8AZOQanOIYNG+i1sVEviBcsoFcu1DMy6Nlqa6PX1FS6Xu3t5PZVx1BZaXSAx455OgaOGlgJ\nQ0cHCXd6ur1jaGmh4+BrbDd8jhq6Li6m/XV2Uph6yhT9vnJipCFYHFDU+EdXl16omIXh00/pxjnj\nDL27elISvaam0kXs66N1zI5B0+hBLyrSlyUmBt+kLVI4RRisQkmHD1OcODXVKAxtbfaO4YQT6Bpy\nQc7NkI8cMQpDV5e9MJx8Mr1qmm/HcNJJesiC+eILSiyb6egg51lTYxSG9HTaBycdxTHocCsjdaKr\nzEy6hkeP0nlMSaHPx47RuUtNpXM5apTn8DVcoejspPXa2jyFgStvapN0pqWFfj8xUS8r1HsNoAJ9\n/HjfwsCOs6BA7+fEw+5kZND9UlWllzlDAQcUNf6hOgb1YgOUxDz/fKoVjhxJy1TH0NFBN25WFtVM\n1BxDZyfdpImJ+rKUFPq9//f/Iv9/+YuTWyXV1VHoJTWVan//8R8UbuFQkpoPYmFwuajGxTXxgwfp\nGqiOITmZrlt/v3UoiTtH1dVRQaKGHpiPPyYnUlzs6Rg6OqwTnh0dlJvq6jIKQ36+84TBKY6Bj6Gz\nk57NE0+k811YSNe8u5sKThYGdgwHD9JzmZ5uvBaqMGRnGx0DCwKXAVYF+tGjujCZQ0nt7bSspYUq\nNHyN7YboP3KEHOTHH+uV0s5OveXjiBE06upQwgFFjW8yMjwdg2rbOjv1QsJKGDo7qYDKyaEbQXUM\nLDYqycnkQmbM8KxlRgunOAarUBI7Bs4J3H03cPXVdG7NhfXRo7qrO/lkPZxUX0+1dHMoqbaWxLy1\n1bNmzPfAwYN0fU85xVNASkpoqOdp0zyvZUeH9fAIHR10T8TF6YVOd7enMDghlOQUx6AKQ0+PXnvm\nEY7Va8qhpLQ0vb9KRoa1Y+joIGGwcgzehKG5WRcGcyjpvvto+a5dVCbw/Wz3rDc0UPPq1FR9f+wY\nAPodbkgxVKa9DbmoqaysxOTJk1FUVIRHH33Ucp3bb78dRUVFKCkpwQ4l4+jPtgA9kN5CSXzTAXqh\nYxaG+nq6wXJyjKEJK2FISaHkF+/bCTi5VZI5lDR1Ki3v76dzrj5wfA0Buq4sDNyqye2mB5ELkfp6\nqlGmpnrW7rmAaG8nYSgqsg4lAdTckEWHaW+3dwypqXQMqtCwMLDjFMegw8fQ0UHPJjtwFgbVMag5\nBsDaMXR06PF/dgzm5DOPiWYlDEeOULhSbWXY3q5XXgBg714KY3EBb5dEbmigfQF6tIL/H4D2wa7D\n6n6KRUIShv7+ftx2222orKzE7t278cILL+DTTz81rLNp0ybs3bsX1dXV+O1vf4tbb73V722Z5GTv\nyWdVGHw5Breb2lA//jh9bycMu3bRe6f0aXCKY7AKJR0+bAwlqbXwrCx7YeAWZOryE06gGjkLQ3Mz\nPcwjR3oW+hxSaGuj3ygstBeGggL6+/BD4N57aZm3UBLXDtVmqeecQ/cRFyBOEYZYcAzmUBLnGABy\ndWbHANA9wMJg5xhOOIGWm5uvHzlCtXy1rOjspEKcOXSIavu+hIH3BdD+WltJIPh55JaSY8cGNmOk\nkwmpqNm+fTsKCwuRn58Pt9uNa6+9FutNE/9u2LABC75pnnDmmWeipaUFdXV1fm3LsDBw4WHOMXgT\nBk4+s2MAqCkdd66yCyU1NtJ7EQYj5lDS4cPUZO+cc6gAb2+nZSUl9P2oUcbYvioMU6boAszLuZbO\nOYbmZnpwR4/Wk4BVVTRZExcQNTV03UePtu8IN2EC/d6//zuNsAn4FgY+lh/8gH77O98hh8P3loSS\ndMw5BrNjsAolsTCcf75RGNSBCjmUZNUqqauL7rnkZKpkqDM7WjmGri6jMBw+TIU6H4e3UBI7Bk6m\nq/NIjxpFx5iZOXSEIaRbu7a2FhMmTBj4nJeXhw9MU3NZrVNbW4tDhw753FbfxxI88wwNiz19ehmS\nksoMOYauLroogC4MXGPh5DM7BoAuZEsLdZ658059OZOSIsJghzmUtH499WI++2y9Nu12U7Pgf/zD\nWhj44WRh4M6LHCZsbdULkd5eenBPOYVaEX3rW8AFF9B38+fTNvv26fkju2ExRowATjsNeOABfZm3\nHIPqGEaOpIKhr4+OtaiI/jenOAanhJK4hq86hpEjdcfAMX8WBl7n7LMpscu5v+5uOrednXQtCgrs\nHUNyMl3bPXsoNMQFeEMD3RN2jiEjg+7XjAx63r21RGxooPsOoPWOHjXOyZCZSW4hISG6wlBVVYWq\nqqqw7CukosbFgxj5QAtx+MQpU5bge99bgpycJTjnnLKQcgyAPk/DO++Q2Fg5BnOCK9o4SRhUx/De\ne8CsWfQ+NZXO19ixwKWX0jJvoaTsbNpfXZ3RDXKNTG1yXFhIwsCMHUvXaNQoam6cnU1NUs1NF91u\n4O236f3Chfry3l7/HAM7Fv7fR4ygXAPgjAlanOQYMjKsHQOPaJqcbOzH4HLROUxPNzoGdgLx8bTt\nmDF0TTiXoLZKSkrS7ydu4QbojsFOGMaOpXXS0uj6jhpF6/X1AW+9Rb+3apW+LzWUZHYMLAyBzjEf\nbsrKyrBkyZKBv1AIqajJzc1FjTK4eU1NDfLy8ryuc/DgQeTl5fm1LWMOJQWTY/jnP4FJk2gZCwNP\n82meqo8LguRk5wiDU5qrmkNJ779P8xQA+nkbNw647jp66EeNovPMD70qDADVvvfuNQoDOwb1GhYU\nGIVh3DgShsxMcgzZ2Z7DrPf307Gecw595p7Z6el6bbS93bNgNTsGtXbITZ4BZ3RocpJj4PPqK8fQ\n1ubpttTkM6+bkkKVCi689+6l/amVtqQk/ZlXr71VKKmzU48sjBun569UYdi1iyoQX34JPPwwrWsO\nJZnviVGjdGEYKqGkkIqa0tJSVFdXY//+/ejp6cHatWtRYRr7uKKiAmvWrAEAvP/++8jMzEROTo5f\n2zJcQPubY3C59BsvJYXcwuefU/NTXqelhZYB1slnQL9ZnEB/v/NaJfX10QNUXEyf+fjmz9fXHzWK\nhs3+zW/oM8/bwHCBbxdKAqiQLiiggoF/m4c6GDVKF4YJEyhxzevwfaEa29RUvWUKt04xD8rorzA4\noXe8kxwDC4NdqyS+ptyPQcUsDMnJekg3NZVGP/7gA32sIl5PdQxWwuDNMfDvpqSQYHADF/4fuJDn\n5qqAseLCXHQRcMMNVI5cdZWz+j8FS0g5hoSEBKxcuRLz5s1Df38/Fi5ciOLiYqz6xoMtWrQIF110\nETZt2oTCwkKkpaXhuW+m5rLb1gqrVknmHANfqLQ0GuyKC4OUFGr5wnFp3l98PA2FER9vHUoCqBAQ\nYTCihpLq6+nhU5OwP/wh8E3DMwB0DgEK2QGejoFzBzz6JoeSsrKMwpCbSzFo7kOgaXQPjBunj4mT\nnEwJ6EOZ3agGAAAgAElEQVSHSCS4t60ZblarDreQlqZ/r4aS6uuNhYA4Bmt8OYa4OGOrpPHjjdtz\np1JAn08FIMfAjvHzz+nVLAyJibQ/szCMHk3rcB6JhcHl0sPK7Bi48snC0NOjt3Yyh5LUPgwAMH06\nvfL81R9/DJSWhnxKo0rI7Srmz5+P+WoVESQIKitXrvR7Wys4qWUe051RhQEgEWC4xQG3rWc4AV1c\n7N0xSD8GI/Hx+jk5fNjzATdPyck1w48+oqlT33rLKAwFBTRnQ2en7hiamoyOISVFDwlyvqKjQ3cM\ngN6AgHu2T5igF/BmuFltRweJ2rFjxgYIqmNQcwwA8Itf6PeSE4TBqY7BnHzm4TDU5LMKV/4Affu4\nOMobpKRQBSIxkZyD2sooKYme3zPO0Ac6BPSxmdiBAnooKSNDrwiwMCQk6APv8f/AraJaWvQKjlq5\nNMNNpdWQZ6zigAZ3vklOppMeH6/fXN6EQYUf6oIC4/LMTKoFjB9vLwxOcwxOyDGooaRDhzyFwQyf\ny8ZGvZloerr+/ZQpwF/+Qu8fftiYfFabHHONksM+ZmHgGmB6urGG6MsxcFNIAPjsMwpLdXTozSDN\noaTycv29E0JJTurHkJ5Ojq6nxzOU5HIZm6uacwxc+QP0UFJCgj5WUkEBib0aLeD1Zs2i/d93n74/\nni/DShhGjtQrDGlp9D4hgdY9coTWY5H66iu9nwKg/19W9xUnv3mQxVjGAUWNb5KT9aZlgGeOgcct\nsYIvYGGhcXlmJjBxIvDd73raPt5XZqazhMEJjiEhgW78tjb/hOF736N1r7iC+hv89Kf0gDNnnKH3\nKeFxsFpb9QoAYHQMHR0kBjzejVkY2A0AvoWhvZ22a2mhz//yLxQvNo/uarUPwBmOwYmhJNUxcKsk\nq7GSVFTHwE6Az3tKCjn7wkLjyMe8z4ULgeuvp0KdW4qxMHBLIU2jYxs92tjbmXMMHE7ivhCcX6iu\n1u8tQHcaVuXNlVdSA4ih4BhiShjUkVPtcgxmvDmGSZPopjrjDM9tOMZcU+OMbu5OEYb4eIql/vGP\nJAw8+5YdLhc9fHfcAdxyCyWhzdeKhTk7W28OyKEcQHcMLAyjR9s7Bu5kB9gLQ1oaXVMep+d//28K\nEXG4gHu1quEQK5wwmqaTQkncXNXKMajJ595eT2FQcwxq8pm/mzsX+NOfjK2MVAFiIeEOjr29VInh\nATLZBZx9Nk0ixPvmUBKHurj/Eu/nn//UmycDen7JqsJ4113UBF5pbBmzxEwoqaFBdwxWoSS7Wh0v\nVy8uf+ZOK1a/xwXTgw9SZ6Y//SmU/yB0nJJj4ERzczPlGPxNsn3rW/bnm9uzA3ooySwMbjedg7Y2\nSnhzPNlKGNTWRnaO4cgRfTKgw4dp/ywMvC+1EYKZ3bsp3h1tYsExcM9n1QX64xiY1FS6R9LSaDt1\n7mZ1vexsqkCOGmWcepWPobOT9jFpEk3bChhzDFzOAPbCwOFcO1fgpCbuoRAzjqG+3ugY/M0x8INj\nrt3913+R9bOCHQNvw7WIaOKkHANAhbfajC9cJCWRSKSkkBAmJNB7jlE3NekTArFjSE7WKw3+hpKO\nHNGdSGOjsSkjFwR8/a2EwarRQjRwkmNQWyVxwZ+erudz1PCQP8lnDjGqjRXsHANAwtDQQPdPf79R\nGBob6TypzdgBugcWLqTZ5DjHAOjC8Mkn1HHSzN691ufB7XZG7ilUYsIxjBhB9ownZklMpId/1y5K\nXnoTBiDwAjUlhWoSfNOpTRmjhZNCSQA9OE1NFIoJJ1xgcHIwKUl/zx2eWBiSk0mYxo7VmyebQ0l2\nrZJYGPh9Z6eeFGdh8OYYnIKTHENGBp17Hv4CoONLT9cdGouvP8nnE0+k3JTaD8Xt9myVxLBj6Ouj\n+5S3GzGC+tYcP25sxp6aSsfH+UdVGLiF0e7dntGGxx+378gmwjCI8AiKaijp449p7BtN8y0MgaKG\nkgDrwmWwcYowsGNoaaFaWLiFwXzOrYQhM1NvSlhcTAPqMYGEktgxNDXps/wBegWEa+J2YUon4CTH\nkJamj3ulJmxHjKA5M5KSjHkcFatQ0t//7vk7ZsegurYxY0gY1DAS79sc9+eOjuZjOHiQ3puHW1e5\n5x7P42KGijA4IDjhGy581FASWzmeZi+cwmB2DCIMOlzjOnqUCtRw16bNjsGchOSesKmpVJAnJVHN\nklEdQ0eHffJZFYbeXhIGfqC5IGCB8XNIsKjgpOaq8fEk2vX1xpq8On6ZnTBwQd7XpzsGl8vz3Fu1\nSlJ/p7XVUxg4b6CSkmJsNg1Yh5IAfT54f2ChdsI1CYWYEAYep0QVBh7Hv709/MJQVGTsKe0EYXBK\n8pktdHNzZByDP6EkbkECeJ4TNcdgJwypqVRYcBt2QI+N5+RQyxXAeuRVp+GkUJIvYUhK0kNJZmEA\ndNdgLvBVzMNoq+uxWzQLgzpjI5OR4TlGGg+emZFhnNcjkNZnLhe56lh3DTEhDFz4sG0sKDBO4G3V\n/C0UTj0VWLLEeTkGJySfubNQba1x6ORwYRbj//W/9BgwJ5+5Q5IVaijpo48o3GiGhYEdA6A7hl/9\nivq3ALEhDE4JJXFcf9QoCueoz6MqDFxLtxqZloXBXOCrqMLwxRfGMA+7RbMwWOUDSkpoyHgV/k3u\n23LZZdT8NFDc7tif4tMBRY1vMjLoZPMNdt55+ndHjuhD+IYbvrhOGF7ZKaEkFoYvv4xMUtbsGK6/\n3jjKKjsGu4oAFw6aBrz5JlBW5rkOj8WvCkNXl7E1DRAbwhALjmHOHHp1u/Xn1KpvECegOZRkhSoM\nn3xiHOrGThj+9jdg61bg1Vf1ZS6XZ2sj/s38fBKGs87SR+YNhKGQZ4gJYXC5yDWwMLjdwM9/rs+0\nFqmORpwMc8JFdoowqJ29wh1GAryH71gYUlONeQUVDiUdPkwFjLnHO6CP38O5CkB3DGqBcuONNA2s\nk3GKY1CFgae+ZO65hwbAUytvVqLrTyjJ7abvm5rICaj3AfdoN1/H886j0PAll/j3v0yYQKGkYKMQ\nIgyDyAknGFsgPPYYTfDe1BTeMJIKh6ucMPSBU4Th5z/XY7bqNInhwttYNKpj4Lk1zHAoqbmZWqlY\nOUmuYFiFktQC5YYbgOefD/5/GQyc6BgA/RWga8DhOcbOMXAoydtIBt3d1Ix0yhTj9bVzDP7CMw2m\npZHoBFvhHArCEBPNVQEak4eT0ExGBhUUkXIMLAxOuMhOmcHN7aZ+A/feC1x+efj3bw4lqaSk0HlI\nTfUsaBguHHh0TSvY9ZgdgzmUFAs4zTHwubXK7ahwHkiFh8Xw5hjYFdTWGsfcAkIXBu7IypUFEYYY\n4OWXPZPA6el0MSP1MF9/PQ0V7YSL7BTHwCxfHpn98nDLdq1WACocOG5thkNJbW2ezREZK8fQ308F\njhPmcQ4EpzVX5USvtx7xVVXWws5jor3xhuf4ZQwLQ12d51ztdqEkfzELg4SSYoCMDM8ac6SFYcoU\n4KmnnHGRnSYMkSIxUR8bx4zan+GMM6wbBXDhcOyYvTCojkENWZlj47GA00JJHI7xxvnnWw++mJwM\nLFpEBT5PF2uGr299vT4LGxMux8C5M3EMMQp3tY/kKJdqK4hoMlyEQe23YEZtnWSHOhOXXShJdQz8\nWzzxfKw5BqeFkv7jP7z3DPZGYyOFiD791P7apaTojoH7mzChCsPvfkctEXlbEYYYJT2dWjtEspYX\niYusadRF365ljRVO6eAWadgxWMG10VNPtd+eB1j05hh4NE0eWROgpretrbEnDE5zDOPG+R6K3Y4d\nO+h6eBucMDWV8kF2jiGUUNI119Ar910ItlxRp7+NVWImlGQFJ59jTRg2brQesdEbTungFmm8CcOT\nT1pPC6miCoNdAeNykWtQHYNVM8tYwGmOIRSeegrYsMH7OqpjsMoxhOIYGJ58ShxDjMI5hkiOix+J\ni2w1dosvhkso6eSTgauusv7On2GuebJ2b8lnQJ/ekSdpSU2lyeTFMQRHOO7P22/3vU5CAv0dOOAp\nDKGGkhh2PJJ8jlHS0iLvGCKRYwhmf8NFGHJygIceCn57nsOhqcm7kLBjyMqijk88mF6sCcNQcgz+\nwqPjmls+cXPXnp7QriOHF4OduVGEIcqkplLX9VgLJYkwRBaeotGbYygspJphSopxqsdYCyUNJcfg\nL6rTU4mLo8YHra32Y2kFQrA9+4eCMMR0KCk11Xp2tnDiFGEYLsnncMDDJ3tzDC+/bPysDrcSS3Cz\nXk2L7vDggy0Mdv9rWhpVFkO9jqGMjzYUhCFox9DU1ITy8nJMnDgRc+fORYs6gLlCZWUlJk+ejKKi\nIjz66KMDy5csWYK8vDxMnz4d06dPR2VlZcDHwInD4eIYhkPyORwkJ5MweHMMZrhvQ6w5BpfLGZ3c\nBlsY7GrzY8dS/iGaAj+shWH58uUoLy/Hnj17MHv2bCy36Arb39+P2267DZWVldi9ezdeeOEFfPrN\nRAoulwt33XUXduzYgR07duDCCy8M+BgGQxginWP48kv7icVVJJTkP+wYAhEGHtsn1hwD4Ixw0mDe\nnykp9iP7nnQSTeIlwhAaQQvDhg0bsGDBAgDAggULsG7dOo91tm/fjsLCQuTn58PtduPaa6/FemUQ\ndC3E8ayHgmN47jnqWOMLEQb/8SeUZIYdQywKgxMS0P394Ynr+4M3x5CfH31hGAr9GIK+lPX19cj5\npr1YTk4O6uvrPdapra3FBGWkq7y8PHzwwQcDn59++mmsWbMGpaWlWLFiBTLVIRkVlixZMvC+rKwM\nZd8Msh/qYFf+EGlh6OryLzYsOQb/4SarwTiGWAslAcPPMXBrMitOOokc+AUXDM6xWBEtx1BVVYWq\nqqqw7MurMJSXl6Ours5j+bJlywyfXS4XXBalm9Uy5tZbb8UDDzwAALj//vtx991349lnn7VcVxUG\nlaHgGLq6/KtpSY7Bf3jojEAcQyyHkpziGJwgDPn51MFxOIaS1EozACxdujTofXktkjZv3mz7XU5O\nDurq6jB27FgcPnwY2dnZHuvk5uaipqZm4HNNTQ3yvumNpq7/ox/9CJdeemnABx+rOYbubnrVNOre\n74/jkVCS//D5DCb5HIvCMBwdg10oiUcUGI7CEE6CroNWVFRg9erVAIDVq1fjcovB+UtLS1FdXY39\n+/ejp6cHa9euRUVFBQDgsDJD9yuvvIKp6hx9fqJOGB8pwnGRzakUHou+r48cgz/7F2Hwn+EmDMPN\nMZSX20+5KcIQHoLOMSxevBhXX301nn32WeTn5+Oll14CABw6dAi33HILNm7ciISEBKxcuRLz5s1D\nf38/Fi5ciOLiYgDAvffei507d8LlcuHkk0/GqlWrAj4Gt5vCME4OJV16KdXo1InHWRh6e8kx+HMT\nizD4T1IS5Z8COV8sIrEYrhtuzVWvv97+u+xsCiWKMIRG0MKQlZWFLVu2eCwfP348Nm7cOPB5/vz5\nmD9/vsd6a9asCfanDXibGD4chHqRd+ygoYRVeL5bdgx20xiqSPLZf5KTA8svAPYD98UCwy2U5A2X\ni1zDUBUGDj1HugITg/UjI6mpkQ8l9fUF3xNyyhR6VbdXQ0k817AvJPnsP0lJgYWRAPtkZiww3EJJ\nvsjPH7rCMGkS8IMfRGbfKjFf1KSmRtYxuFwUrgr2QvNQCwcO6MvUUBIP+mVFRwfAncWd9OA5naSk\nwB1DXh6gpL1iCnEMRgoKvE/mFGkiKQz9/cDzz0e+IiDC4AehXGgeoVGd/FwNJXlzDDt3AosX03sn\nPXhOJxjHAHhO/BIriGMwsmwZcPPN0fv9SHZwy8+n166uyOyfGRLCEMlQEhBak1UWAbXw5+aqvhwD\nC157u7MePKeTnBycMMQqoTqGr74KfQC+vj7n3J+ZmTSYXrSIpGNobaVXEQYfDIZjSEoKXhjYMZiF\nITHRt2NgUamtpRqh5Bj8I5hQUiwTHx+aMPA9yvdbMEjFRUeEwQFkZka+dpicHPyFaG+nNvLqjdLT\nQ4LGjsF8E23cSILB4afaWnnwAiHYUFKsEmjo4vhxfV5jQK/0VFcHfwxyf+pEWhhGjhRh8Mnq1cCc\nOZH9DR57JxiOHQNGjfIUhrQ0vbmq2Y1ccgmwdq3RMciD5z/DzTEEWhB98QVw4436585Oet2zJ/hj\nkPtTh1syhhtNoylrx4wRYfDJyJGRvyGTk/W8gBV79wK33GL93bFj5GrMoSQWBrtQUlKSLgxLl1JN\nQR48//jud4GFC6N9FINHoMLQ02OsjLAwfPaZf9vfeSewa5f+WdOkn41KpJLPnZ0Ugs7IiLwwxPQM\nboOFr1DSgQPUgsiMplHhbhYGdgzd3Z4PKZOYCDQ3AyefTMIDyIPnL0VF0T6CwSVQYejtNVZ0+N5+\n913/tn/ySSr8Hn+cPh8/TsnraM4g5yQiJQytrdT8PZTQtr/EvGMYDHxdCLvxjrq7qTDnfAKg3zDJ\nydaJaYYdw5VXArNn0zJJPgtWBCMMZsdQXg5s22ZsVu0N9XmQMJKRSApDRgb10WCXFymkqPEDX8Jg\nFw5qbydnoD64PT1U6CckULyQl5lJTNS358468vAJVoRDGLKzgcmTgY8/9m8fIgz2iGMYJvjKMXR2\nWhfux45R6xj1weWmqqowqA81NztMSNCFgcfxkYdPsMIsDK2twD332PfkZmHgYVp4vK6RI3UX6wsR\nBntEGIYJSUlARQWwYoX193ahJG+Owe2mhzAjw7gtW8T+fnEMgn+YhaG6mu7V3/7Wev3eXhIFroR0\ndtI9lpqqN3jYtg34yU/s+zaIMNgT6VCSCIND4NFPX3jB+vtAQkmqY+ALrboNjvGyMKSmimMQvGMW\nBi407DplcqHF33d1kTCkpen331//CvzXfwHKTLwGRBjsiZQwdHdTWSTC4BBYGOyGx7ZzDB0des/s\n3l5q9cHD5rrdemcVX46BhUGSz4IVLAw//SnQ1KTfQ3Z5B9W9ArR+crLRMTQ306tdMlqEwZ5ICUNv\nL11rO2FobAS2bg3Pb0lR4wcsCHZjMtnlGNii84P7gx9Qco8dw9Gj1JTVm2NIS9N/X4RBsILvr1de\nobwCC4Nd4aS6V0C/T1XH0NREryIMgRMtYXjsMb0FY6hIUeMH/giDVe3MLAxdXUBLi94qiR1Df78+\nOqbqGDo66GGN9FhQQmzD91d7O1UyAnUMHEpSHUNTE92bIgyBE2lhsGuuykP8hwMRBj8wC8Px40B9\nvf69t1CSKgw9PWTRExP1UJKag3jtNb2mxsIwGKPHCrGNKgzd3XqhHWgoyewY8vI8hUFtycSIMBiJ\nlmMI52RTIgx+wAUzvz7/vHHsfnYM5lneOjupYHe76SHs7jY6hqNH9e97e2mogffeo237+/UbQYRB\n8Ab3eeHKR2cnhR0DEQYrx2AlDFzgqc1aRRiMDLYwvPUWjX3FA0cGOxK0igyJ4QdWjkGFL1Jfn3FK\nQXMoiYWBHQMLA8/3cOQIcPAgbdvfT38JCSIMgnf4XgLoHuvspLCCrxyDt1ZJTU3A2Wd7CgNvw8M/\nAyIMZgZbGBoaKILBzY/feosGSgwFcQx+wMLAsX4euZMfRruYrioMPCZSc7O1Y+jsJNFQhYEnPxFh\nELzhdtO9A+iOwdw/BiBHu2uX71ZJmmbvGLq76d5VO3yKMBgJZirgNWuM0/9aYScMvb36H0CtH199\nNbDfNyPC4AcsDKzIfFH27TN+Ng+Up+YY+AHjHAMnn9kx1NXR92bHEB8vyWfBO6owcI7BShheeQU4\n7TTfrZLa22mfWVnWwpCebgxXiDAYCcYxLFgA/J//430dO2HgSidf15oa+6b1/iLC4Ad8klXrDQBf\nfkmvZsewcyc1G1NzDByTZcdgTj4fOkTfSyhJCBQrx2AVSuIRgH21SmpupmbUqanWoaT0dGNOTYTB\nSKDCwJGHggLj8m3bjJ/tWiWZheHAgSgKQ1NTE8rLyzFx4kTMnTsXLXxnmrj55puRk5ODqVOnBrW9\nE+CC2SwMtbX0yheJv9+3j+J+aiiJk3qcY2C7yY6Bx7VRWyVJKEnwB7NjsAsl8UQ8vlol8VAtajKa\n4d63auEnwmAk0Il6PvyQXtXpWdvbgXPOMTZoYWEYMwb4+mt9OYsC/2ZjY+hlRtDCsHz5cpSXl2PP\nnj2YPXs2li9fbrneTTfdhMrKyqC3dwJmx2AWAnMoqa6OHi5VGKwcA6A7CnYMjBpKEmEQvGHnGMzC\n8Pnn9Go3JAYLAQ/+aOcYkpL0BhOACIOZQB3D/v30qoaHGhvpVQ3ZsTDk5emRBV5HdQwtLVF0DBs2\nbMCCBQsAAAsWLMC6dess15s1axZGjRoV9PZOIC2NXs1CYBYKszCoOQYWBnYMI0fSZxaGujrgxBNp\n2ZQpumNISNCHxBAEK+wcg7lw4sqHt+aq7BjshIHH+uIGFYAe8hQIszCofZ6s4FyPKgwcOVCT/CwM\n48fTteTWkdxMWRWGUCuTQV/O+vp65OTkAABycnJQ7+u/D2H7JUuWDLwvKytDWVlZwMcbCuedBzzz\nDPDii/TZ7BC6uuhm4Aelro5qXpxjOH7cOClPUhLNzAbQ9wkJdPOcdBLFB2fONDqGc84B/va3wft/\nhdjC7Bi6uoDRoz0dg1qQ8LqAHkqKj/ftGLq7xTH4QhWGpiZg6lRj6MeMlTCwY7ASBh4ivaEByMnR\nRaG6ugouVxWam4G//z3E/8Hbl+Xl5ajj5jIKy5YtM3x2uVxwhTCvn6/tVWGIBgkJNF2k6hhGjDA+\nWBzT3bkTePNNujFaWqgm1t1tjNUmJhqFgR3F1Km0nxEj6CHmmlhcHImTIFhh5RisQkkcwza3SuJQ\nEree8xVKSkzUB4bk/Yow6KjCcPQoFfKaZj/1aaDCAADjxtHUqo8/roeS8vLKMHJkGVpaaEa+d95Z\nGvz/4O3LzZs3236Xk5ODuro6jB07FocPH0Z2dnZAPxzq9oON+iCYHzy1pcYNN9B4+AApekqKXgtj\nkpKAU06h9+wYOjvJIv7nfwJ3321MPguCN9xuPUnprVWSN8eQkkLft7fTnziG4FGF4dgxOq8svlaw\n2AYiDPv305wbS5YYcwwZGeEJJQWdY6ioqMDq1asBAKtXr8bll18+qNsPNuqDYHYMPT2Uh+jtBWbN\nomUpKWQfU1JoW1UYTjgB4LQLh6E6O/WLHh9vDCUJgjfU+8ZbqyRVGOLi6L49flxPKPNMha2tJAxp\nadatkszCIBUYI6ow8Pnj2Rqt6O6m0JC/OQaAmrK6XFSuqB3ceCC9qCWfFy9ejM2bN2PixInYunUr\nFi9eDAA4dOgQLr744oH1rrvuOpx99tnYs2cPJkyYgOeee87r9k7FLAzqg9fbSw9RTw9drP/+byA/\nnxyDGirih+ess+j14osp0cw9nzmBpwqDJPUEX3BhkZWl5xishEENJaWm6uN3JSXRfRsXp1do0tON\n9zzDtVtz8lmEQcfsGIDAhcGXY5gyhaIOx455OgYgdGEIutjJysrCli1bPJaPHz8eGzduHPj8gs20\nZ3bbOxX1IWGrbuUY+OKlp5O9V4fE4EK+pIReX3uNXu0cg9TEBH/g+yY31/tYSapj4N7LHEZiUlNJ\nGCZOpPtSbVsPGB2D5BisCdYxqJ3WWBjMQ1+oY7Gxo2Nh6OvThSFqrZKGG1ahpN5efS6FlBS92Vhi\not7EdexYvSPcrFnAJZcYLy6gJ/0klCQEAw+ZkptrPVZSURFw9dXGVnTscLlFEpOWRi3kvvUt6/b4\navJZHIM1cXFUJqitEQN1DEeO6N8xZmFIT9cdg6bp5RIgQ2IMGnY5Br5YXIPiz3xDZGToF3PMGOCu\nuzz3zY5BDSX19ur2XhC8wfdXXp51B7e9e4GHH6aCKjGRvk9L08dVsnIM6enWwiDJZ9+4XLrbYseg\n5hjNWAlDfT0tMwuDGlpWhQGg32JhiFryebhhDiVlZOjCoMZcWRjUdsv84NpdLM4xqI6hp0ceNsE/\nzKEkzjFwoc6VCx6KxewYVGFgx+BLGCTH4B0+d1aOYd8+4NNP9c92wnDSSf45Bq4AdHSEL8cgwuAn\ndqEkNRnHjiEx0SgMvqYG5ZvI3LpEHjbBH6wcgxpKUoUhPl53DJyoVgsR1THEx0soKVj4mTbnGDo6\nKGn8s5/p63Z3U3nCwqBpJAwTJngXhrQ0o2MQYYgCdqEkszD09ND71FS9r8JJJ+n7sIIvthpKUpPV\nguANThCPHq0XRJzzAvRC21/H0N1Nr/HxFH5SB3KT5LN/2DmGhgZ6HTNGX9fsGJqbqfwwh5LME4Gl\np+vJZ4CEIVyhJCl6/MSqVZIqBOYcwz//qV9EHhepudl63ywAEkoSgoGHbU5K0nvbqyN8smNwu6kQ\n7+ry3ioJoKEWXC69IQTfozxWkjgG76iOYcQI4yCagNGJ9fQYhaGujs5/UpL/yWeAfkscwyDDNz4/\nWJxjMLfrVge6UmsFAE2gYQVfbHMoSRyD4A8TJtBrUhKJhDqdLKA3U/U3lARQvgLwzDPI6Kr+0d8P\n/OIXVHCPHQvcfz+NiGAlDGbHUF9P2/grDJJjiDL8MHR36zFcNfmsfrbCbuo+cQxCKMycSeGexERd\nGHi+D02jeyk52TOU1NAAfPe7RsfABRE3tzbnGST57B/NzcDvf0/Xg8uDqiq9R7MvYfDHMVjlGCSU\nFAVYGHhsJG85BjNPPkmzYllhl2OQh00IBHYMubkUPoqLo4IlLo4KkcREKpB45sA9e4wzsQGe4U5z\nJzdJPgfGF18ADz0E/PWvNBmXy0WRBCth4A5udXWBOYZIhJJEGAKAa0k8760qBPwAmS8ec8cd9vu1\ncgwSShIChSfaYQfAHScTE3XHwD2jOckMAJ99pu/DPJGiOZQkyefA+Owzmmdl2jQa3yglxV4YzI6h\nu9t/YUhM1K99OCb3klBSALAw9PXpY83wReEHyE4YfO1XfRXHIARDVha9sjAkJFBhoQoDd6bMyCDn\nAB6/3WoAABEHSURBVAC7dun74GWMlTCIY/Cfvj6guJjGTtu/nxxZdrZxHCuzMKiOwd8hMdLTaZnb\nTWOwsXMIFhGGAFBrYElJxpwCP0AsFIHAzkBCSUIo8Ii9qmOwEgaACg7+Tp0Eav16YPt2/bMkn0Pj\nlFOoEpmfT2GlpiZrx5CWpg+v42+Oga8BD+IJ0PVav14cw6Ci1sDYPYTDMUgoSQgHPEYXx5e5IsND\nanOrJECvYZ5/PnDuufo+Jk0CZszQP3NzVUaSz4Fx2mn0mp9PuZ9Vq8gxsDBcfjlN06mKLQsDD4PO\nmMsWtTLKwhBo2WOHCEMA8BhI6gxWEkoSnMSoUb5DSYD/SUorxyAzuPlHaSlw5530PiEB2LSJ3o8f\nr5/T9evpNSmJ/np6/E8+qw1e1FBSOBBhCAC25mqNqa1NTz6H6hj4lVuTyMMmBIoqDOZQEt+ngF6Q\nBCoMavJ52TLgz38WYbBj5kxyZExmJpUP8+Z5DjXC57Sri5oRZ2cHJgziGKKI+qAlJlK88PrrdYse\nbI7BzjFIKEkIlKws7zkGLsD9HbffLvnM4aUDB0QY7DB3cAXofHIfExUuU1pbqWLIDqKri5q6799P\n10EtE9S+Uyz04SozpOgJAHOOgWGL7q25qq/9AhJKEkLH31AS1zB9OQZzjoGTzzt20OejR2kduVeN\nvP8+MHWq9XdWo9ayGLS36+VASgpFJO68E3jzTfpeHYZfdQws9OIYooAaSlJdQaRyDOIYhEDJyjKO\n5ss5MdUxxMfr4hFsKOnOO2kmwoMHxTFYceaZ+vAiZtRxrNLTgT/9id5zXwQuB5KT9Z7SPH+8eT/s\nGL79bX1ZOBBhCADVmqsPAsduu7v1gccCQZqrCuFCdQzJyRSaMDsGtWITjDAkJtK85cuWiTAEA59T\nTaNWY5ddRstZyFXHwD3Rm5s9rxW3OktIoJkhed9hOcbw7GZ4oFpzFa7dq9NzBoK0ShLCxa236uEG\nVRhSUqggSkjQ++HwOt6w68cA0PwPBw/SNKCB5tWGM3xOuSmxOiy6OZTEjqGpSc8jqPvhflUFBcD/\n/b+hd2wb2Hd4djM8UENJKu3teo/SYIRB+jEI4aKgQH9vdgxcs+dEJ6/jDfNYSRxKAqhdfm2tOIZA\nYWFoazMW5FahJB6ipLkZOOEE437UCAZADWHChYSSAsB8IZhQhcFqEL3jx+VhE0LDWyiJ7zVfrZLM\no6uqre7S06nGKsIQGNwq6dgxowvgUBJfm5QUKgdSU+ka2IWSwpVXUBFhCAC7UBJfzM7O4Cy1lWNQ\nXwUhGFgYkpKA6dPpj0NJLpcuGN6wSz4Deoesvj65VwOBk8++HAPnisxDnaj7OX48MmG8oIWhqakJ\n5eXlmDhxIubOnYsW87CM33DzzTcjJycHU01tt5YsWYK8vDxMnz4d06dPR2VlZbCHMmiYQ0k8XPGx\nY/oEKME6hvh4elgB/SGTUJIQCsnJ+nwAV14JXHONHkoCAhOGJ56guRs4+Qzo4tLRIcIQCOq0n6pj\nSEw0Jp/52vDgiFaOgbcLN0ELw/Lly1FeXo49e/Zg9uzZWL58ueV6N910k2Wh73K5cNddd2HHjh3Y\nsWMHLrzwwmAPZdCIVCiJO70w4hiEcKCGkhgOJQGBCcPLL1OzSvNEVMnJxvCH4Bu7HINVPwbAc9Rc\nxpHCsGHDBixYsAAAsGDBAqxbt85yvVmzZmEUeyETmjpDSAxgJQy//jVw332h5xjU7UQYhHBgJwz8\nmQfX8wYnn0ePps9ut7GTVXIyPRNyr/qPN8egCgMLOBef5mvFYhwJYQha5+vr65GTkwMAyMnJQX19\nfcD7ePrpp7FmzRqUlpZixYoVyLSZ4mzJkiUD78vKylBWVhbMIYcM5xjUhN2vfkWvlZVkqfkBCnS/\nVsIgtTAhFKyEwRxK8jf5zPe1uRASYQgcPqdtbd5DSdwbOiODygI7x8CvVVVVqKqqCssxei16ysvL\nUVdX57F82bJlhs8ulwsuDpD7ya233ooHHngAAHD//ffj7rvvxrPPPmu5rioM0cQulARIKElwHuEM\nJXGhZH7MOfwh96r/8LSrPMUqk5RE/RXUMiQlRf8zXyveD19fc6V56dKlQR+jV2HYvHmz7Xc5OTmo\nq6vD2LFjcfjwYWRnZwf0w+r6P/rRj3DppZcGtH00iJQw2IWSxDEIoZCcTIOw2YWSAhGG9nb6PH26\n52+IMASO203CoA6bYQ4lAXR+VXGw2o+jcgwVFRVYvXo1AGD16tW4/PLLA9r+8OHDA+9feeUVj1ZL\nTsQqlKR+pzblC3S/kmMQwg0X+mqEVg0lZWQAI0Z43wfnGNrbqXb68MOevyGtkgInIYFajJkdgxpK\nAoxuwUrEHScMixcvxubNmzFx4kRs3boVixcvBgAcOnQIF1988cB61113Hc4++2zs2bMHEyZMwHPP\nPQcAuPfee3H66aejpKQEf/vb3/DEE0+E+K9EHl+OAfBdA7PbrwiDEG7MzR0BYyhp0ybg9NO974Pj\n4R0dwIYNxtne+DfEMQROQoKzHUPQwYqsrCxs2bLFY/n48eOxcePGgc8vvPCC5fZr1qwJ9qejhtvt\nac0ZfjCCcQwFBTQgmXlfEkoSQsFKGFTHYNNY0IAaSlJrt+pviDAEjpVjsBIGbzkG3o/0fI4y5mZk\nKv4OMWBFUhJw9dX6Zx4TRR42IRTMPWcBY47BH0QYIgMLg+oYvIWSYibHMBzx1m44FGEwww9yY2Po\n+xKGL75CSf6g5hjshEHGSgocTj77cgxqKCkmcgzDEb5gVhNwhFMYmP37w7cvYfjhK5TkD/44Bt6v\n4D9WjsHcjwHwHUoSYXAAfMFGjvT8LpTksx379oVvX8Lww9xzFgg8lMTJZxGG8MLJZ3OrpL4+ozBc\ncQU1ER41yjonZG64ErbjC/8uhy5c+Fs18Qu3Y5g2zXPCcEEIBJ5HQa2sXHghNav2F38dQyQKp6GM\nnWMAjOfy5pvpddUq67LFca2ShiP+OIZwCcO77xonSBGEQOno8Fw2Y0Zg+0hIoKG1e3qs3TAvy80N\n/PiGM9wnShVbFgkrkfU2f7QIQ5ThCzYYjsHuRhAEfznzzNBn9VJrtlaj3vD9fuKJof3OcIPLC/U5\n53IlEPcVaGjQXyTHEADeQkmh9GMQhEiQk0PzAIeCVXt7lWPH6DVccw0PF7jwV89rMMIgyWcHMJih\nJEFwAvHxnklSla+/HtzjGSqEyzFEKvkswhAAPA691UMSiVZJghBtrFrPqAQx2r4APcKgdlpzkmOQ\nHEMAdHbSa5yFnIpjEIYivkJJDz8ceh5jOMIhOLWZrwhDjGLVyoMRYRCGIm430NwM5OVZfz9jRuAt\nnQRg507Pc8qT9gQyRprkGByACIMw3BgxAjh82N4xCMGxdSvw0UfGZVyG9PT4v59IDaInjiEAvOUP\n4uKoOZ8IgzCUGDmSpqAUYQgvF1xg/x2HrP0hKSkyZY4IQwD8y78AF11k/31CgiSfhaEFx71FGAaP\nQIThwQeBMWPCfwwiDAHgdtPcCXbEx4tjEIYW3DRbhGHwCEQYiooicwySYwgjgQ5pLAhOh4VBeuIP\nHoEIQ6QQYQgjIgzCUENCSYPLrFnA/PnRPgoJJYUVEQZhqCGhpMHlrbeifQSEOIYwIslnYajhdlPv\nXBGG4YUIQxg55xxg9OhoH4UghJcRI0QYhhsSSgojL78c7SMQhPAzcqQIw3AjaMfQ1NSE8vJyTJw4\nEXPnzkVLS4vHOjU1NbjgggswZcoUnHbaafjNb34T0PaCkaqqqmgfgmOQc6ET6XMRS8Ig90V4CFoY\nli9fjvLycuzZswezZ8/G8uXLPdZxu9144oknsGvXLrz//vv4z//8T3z22Wd+by8YkZteR86FTqTP\nxa9+BZSWRvQnwobcF+EhaGHYsGEDFixYAABYsGAB1q1b57HO2LFjMW3aNABAeno6iouLUVtb6/f2\ngiBEn8sus56IXhi6BC0M9fX1yMnJAQDk5OSg3sfA7Pv378eOHTtw5plnBrW9IAiCMDi4NE3T7L4s\nLy9HXV2dx/Jly5ZhwYIFaG5uHliWlZWFpqYmy/0cO3YMZWVluO+++3D55ZcDAEaNGuXX9i6riWYF\nQRAEn3gp3r3itVXS5s2bbb/LyclBXV0dxo4di8OHDyM7O9tyvd7eXlx11VW44YYbBkQhkO2D/ccE\nQRCE4Ag6lFRRUYHVq1cDAFavXm0o9BlN07Bw4UKceuqp+NnPfhbw9oIgCMLg4zWU5I2mpiZcffXV\nOHDgAPLz8/HSSy8hMzMThw4dwi233IKNGzfinXfewXnnnYfTTz99ICT0yCOP4MILL7TdXhAEQYgy\nmoN5/fXXtUmTJmmFhYXa8uXLo304EeWmm27SsrOztdNOO21gWWNjozZnzhytqKhIKy8v15qbmwe+\ne/jhh7XCwkJt0qRJ2l/+8pdoHHLEOHDggFZWVqadeuqp2pQpU7SnnnpK07TheT46Ozu1mTNnaiUl\nJVpxcbG2ePFiTdOG57lg+vr6tGnTpmmXXHKJpmnD91ycdNJJ2tSpU7Vp06ZpM2bM0DQtfOfCscLQ\n19enFRQUaPv27dN6enq0kpISbffu3dE+rIjx1ltvaR999JFBGH7+859rjz76qKZpmrZ8+XLt3nvv\n1TRN03bt2qWVlJRoPT092r59+7SCggKtv78/KscdCQ4fPqzt2LFD0zRNa2tr0yZOnKjt3r172J6P\n9vZ2TdM0rbe3VzvzzDO1t99+e9ieC03TtBUrVmjf//73tUsvvVTTtOH7nOTn52uNjY2GZeE6F44V\nhm3btmnz5s0b+PzII49ojzzySBSPKPLs27fPIAyTJk3S6urqNE2jwnLSpEmappHyqw5q3rx52nvv\nvTe4BzuIXHbZZdrmzZuH/flob2/XSktLtU8++WTYnouamhpt9uzZ2tatWwccw3A9F/n5+dqRI0cM\ny8J1Lhw7iF5tbS0mTJgw8DkvL2+gc9xwwa6vx6FDh5CXlzew3lA+N2r/l+F6Po4fP45p06YhJydn\nYIiZ4Xou7rzzTjz++OOIi9OLruF6LlwuF+bMmYPS0lI888wzAMJ3Lhw7iJ70XzDicrm8npOheL6O\nHTuGq666Ck899RQyMjIM3w2n8xEXF4edO3fi6NGjmDdvHt58803D98PlXLz22mvIzs7G9OnTbYe+\nGC7nAgDeffddjBs3Dg0NDSgvL8fkyZMN34dyLhzrGHJzc1FTUzPwuaamxqB4wwHu6wHA0NfDfG4O\nHjyI3NzcqBxjpOD+LzfeeONAU+bhfD4AYOTIkbj44ovx4YcfDstzsW3bNmzYsAEnn3wyrrvuOmzd\nuhU33njjsDwXADBu3DgAwJgxY3DFFVdg+/btYTsXjhWG0tJSVFdXY//+/ejp6cHatWtRUVER7cMa\nVOz6elRUVODFF19ET08P9u3bh+rqasycOTOahxpWNJv+L8PxfBw5cmRg5OHOzk5s3rwZ06dPH5bn\n4uGHH0ZNTQ327duHF198Ed/5znfwhz/8YViei46ODrS1tQEA2tvb8cYbb2Dq1KnhOxfhT4mEj02b\nNmkTJ07UCgoKtIcffjjahxNRrr32Wm3cuHGa2+3W8vLytN/97ndaY2OjNnv2bMumZ8uWLdMKCgq0\nSZMmaZWVlVE88vDz9ttvay6XSyspKdGmTZumTZs2TXv99deH5fn4+OOPtenTp2slJSXa1KlTtcce\ne0zTNG1YnguVqqqqgVZJw/FcfPnll1pJSYlWUlKiTZkyZaB8DNe5CLqDmyAIgjA0cWwoSRAEQYgO\nIgyCIAiCAREGQRAEwYAIgyAIgmBAhEEQBEEwIMIgCIIgGPj/li0B23HCU+MAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "shift = 2\n", "decoded = modulated*roll(modulated,shift)\n", "decoded = filters.gaussian_filter(decoded,5.0)\n", "decoded -= mean(decoded)\n", "plot(-decoded[:8000:16])" ] }, { "cell_type": "code", "execution_count": 154, "id": "cb56647d", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The quick brown fox jumped over the lazy dogs.\n" ] } ], "source": [ "print signal_decode(-decoded)" ] }, { "cell_type": "markdown", "id": "23f7bf43", "metadata": {}, "source": [ "# Image Steganography" ] }, { "cell_type": "code", "execution_count": 162, "id": "5f06e1c3", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVMAAAD9CAYAAAABKpReAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "image = 1.0*mean(imread(\"geyser.jpg\"),axis=2)\n", "image /= amax(image)\n", "gray()\n", "imshow(image)" ] }, { "cell_type": "code", "execution_count": 163, "id": "fdd10606", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12000000 1177600\n" ] } ], "source": [ "print image.size,len(modulated)" ] }, { "cell_type": "code", "execution_count": 164, "id": "1d5eeae8", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 164, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVMAAAD9CAYAAAABKpReAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2gAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stega = 0.0+image.ravel()\n", "stega[:len(modulated)] += 0.1*modulated[:len(stega)]\n", "stega.shape = image.shape\n", "imshow(stega)" ] }, { "cell_type": "code", "execution_count": 158, "id": "fee67bcb", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The quick brown fox jumped over the lazy dogs.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAACCCAYAAABipvL/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noQ1gb2hDG9rQ84T+H+xs/vL/rt1SAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fsignal = fft_fm_demodulate(stega.ravel()[:len(modulated)],nplot=200,lo=20)\n", "print signal_decode(fsignal,subsample=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "fdb9179f", "metadata": { "collapsed": false }, "outputs": [], "source": [ "imsave(\"stega.jpg\",stega)\n", "stega2 = imread(\"stega.jpg\")\n", "imshow(stega2)\n", "fsignal = fft_fm_demodulate(stega2.ravel()[:len(modulated)],lo=20)\n", "print signal_decode(fsignal,subsample=1)" ] }, { "cell_type": "code", "execution_count": 159, "id": "229d7092", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 159, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAD9CAYAAAC1DKAUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJwAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(fsignal[:5000])" ] }, { "cell_type": "code", "execution_count": 160, "id": "260fab7d", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.5000 The quick brown fox jumped over the lazy dogs.\n", "0.3605 The quick brown fox jumped over the lazy dogs.\n", "0.2599 The quick brown fox jumped over the lazy dogs.\n", "0.1874 The quick brown fox jumped over the lazy dogs.\n", "0.1351 The quick brown fox jumped over the lazy dogs.\n", "0.0974 The quick brown fox jumped over the lazy dogs.\n", "0.0703 The quick brown fox jumped over the lazy dogs.\n", "0.0507 The quick brown fox jumped over the lazy dogs.\n", "0.0365 \u0014�a\bs5�cJb0�k^n fkX\"jumped over the lazy dogs.\n", "0.0263 \u0014�a\bs5�cJb0�k^f0�kXb8�iXg4�k^g0�qHg0�aZs0�kNs<\n", "0.0190 \"w3#ffb#s'3\u0013\u001c", "\n", "��\u0011dVYl��l�Il�Y,��,\n", "\n", "0.0137 \"v\u0002\u0002Ffb\"c$v\u0004�T*c\u0015\u0016&�%w\u001e", "\n", "C4\"\r\n", "� q'3� �\n", "\n", "0.0099 �ږ4ʍD�������-v-�,�)�3�v��e����(�U��-�m���Z\n", "0.0071 ���y��y����п�5���΂���c�X{��m�/\u001b�e�?�m�[m���g�–Lo��%\n", "0.0051 �|�*��>LP\u001a㮘WawȞ�䧌�\u0019�yzh�\u000b", "\n", "�����h鶦��\n", "\n", "0.0037 \u0019;�����aD\u0019���\u0001h<,\t�+xo[���|.��k�\n", "0.0027 ��v�`P\t�aB\u001f�7oO��.��\n", "0.0019 �P\u000f\u001c", "\n", "f���\n", "\n", "0.0014 �A\n", "���\n", "0.0010 �\u0000n<\u0017\n" ] } ], "source": [ "def roundtrip(l=0.01):\n", " stega = 0.0+image.ravel()\n", " stega[:len(modulated)] += l*modulated\n", " fsignal = fft_fm_demodulate(stega[:len(modulated)])\n", " return signal_decode(fsignal,subsample=1)\n", "\n", "for l in exp(linspace(log(0.5),log(0.001),20)):\n", " print \"%.4f\"%l,roundtrip(l)" ] }, { "cell_type": "code", "execution_count": null, "id": "56a6afbe", "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }