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@turnersr
Last active April 7, 2017 02:53
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Gven a binary stream, try to find repeating values by considering the frequency and autocorrelation of different n-bit string parsings of binary data stream
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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from gmpy2 import digits\n",
"from itertools import izip_longest\n",
"import binascii\n",
"import string\n",
"from sklearn import preprocessing\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from matplotlib.ticker import MaxNLocator\n",
"from math import log"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"greek_alphabet = {\n",
" u'\\u0391': 'Alpha',\n",
" u'\\u0392': 'Beta',\n",
" u'\\u0393': 'Gamma',\n",
" u'\\u0394': 'Delta',\n",
" u'\\u0395': 'Epsilon',\n",
" u'\\u0396': 'Zeta',\n",
" u'\\u0397': 'Eta',\n",
" u'\\u0398': 'Theta',\n",
" u'\\u0399': 'Iota',\n",
" u'\\u039A': 'Kappa',\n",
" u'\\u039B': 'Lamda',\n",
" u'\\u039C': 'Mu',\n",
" u'\\u039D': 'Nu',\n",
" u'\\u039E': 'Xi',\n",
" u'\\u039F': 'Omicron',\n",
" u'\\u03A0': 'Pi',\n",
" u'\\u03A1': 'Rho',\n",
" u'\\u03A3': 'Sigma',\n",
" u'\\u03A4': 'Tau',\n",
" u'\\u03A5': 'Upsilon',\n",
" u'\\u03A6': 'Phi',\n",
" u'\\u03A7': 'Chi',\n",
" u'\\u03A8': 'Psi',\n",
" u'\\u03A9': 'Omega',\n",
" u'\\u03B1': 'alpha',\n",
" u'\\u03B2': 'beta',\n",
" u'\\u03B3': 'gamma',\n",
" u'\\u03B4': 'delta',\n",
" u'\\u03B5': 'epsilon',\n",
" u'\\u03B6': 'zeta',\n",
" u'\\u03B7': 'eta',\n",
" u'\\u03B8': 'theta',\n",
" u'\\u03B9': 'iota',\n",
" u'\\u03BA': 'kappa',\n",
" u'\\u03BB': 'lamda',\n",
" u'\\u03BC': 'mu',\n",
" u'\\u03BD': 'nu',\n",
" u'\\u03BE': 'xi',\n",
" u'\\u03BF': 'omicron',\n",
" u'\\u03C0': 'pi',\n",
" u'\\u03C1': 'rho',\n",
" u'\\u03C3': 'sigma',\n",
" u'\\u03C4': 'tau',\n",
" u'\\u03C5': 'upsilon',\n",
" u'\\u03C6': 'phi',\n",
" u'\\u03C7': 'chi',\n",
" u'\\u03C8': 'psi',\n",
" u'\\u03C9': 'omega',\n",
"}\n",
"\n",
"digs = string.digits + string.lowercase + string.uppercase + string.punctuation + \"\".join(greek_alphabet.keys())"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def grouper(iterable, n, fillvalue=None):\n",
" args = [iter(iterable)] * n\n",
" return izip_longest(*args, fillvalue=fillvalue)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def int2base(x, base):\n",
" if x < 0:\n",
" sign = -1\n",
" elif x == 0:\n",
" return digs[0]\n",
" else:\n",
" sign = 1\n",
"\n",
" x *= sign\n",
" digits = []\n",
"\n",
" while x:\n",
" digits.append(digs[x % base])\n",
" x /= base\n",
"\n",
" if sign < 0:\n",
" digits.append('-')\n",
"\n",
" digits.reverse()\n",
"\n",
" return ''.join(digits)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def base_encode(binary_string, base):\n",
" encoded_string = []\n",
" left_over = []\n",
" for item in grouper(binary_string, base):\n",
" if None not in item:\n",
" x = ''.join(item)\n",
" v = int(x, 2)\n",
" if base >= 2 and base <= 62:\n",
" base_encoded = str(digits(v, base))\n",
" else:\n",
" base_encoded = int2base(v, base)\n",
"\n",
" encoded_string.append(base_encoded)\n",
" else:\n",
" left_over.append(item)\n",
"\n",
" return encoded_string, left_over"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def entropy2(labels):\n",
" n_labels = len(labels)\n",
"\n",
" if n_labels <= 1:\n",
" return 0\n",
"\n",
" counts = np.bincount(labels)\n",
" probs = counts / (n_labels * 1.0)\n",
" n_classes = np.count_nonzero(probs)\n",
"\n",
" if n_classes <= 1:\n",
" return 0\n",
"\n",
" ent = 0.\n",
"\n",
" # Compute standard entropy.\n",
" for i in probs:\n",
" ent -= i * log(i, n_classes)\n",
"\n",
" return ent"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def base_encode_file(read_data, base):\n",
" binary_string = bin(int(binascii.hexlify(read_data), 16))[2:]\n",
" encoded_string, left_over = base_encode(binary_string, base)\n",
" return encoded_string, left_over"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def complex_autocorrelation(OFDM_demod):\n",
" data_ft = np.fft.fft(OFDM_demod)\n",
" data_ac = np.fft.ifft(data_ft * np.conjugate(data_ft))\n",
" return data_ac"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"bin_data = open(\"final_test.txt\", 'rb').read()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"ent_list = []\n",
"for base in range(2,len(digs) - 2):\n",
" encoded, left_over = base_encode_file(bin_data, base)\n",
" le = preprocessing.LabelEncoder()\n",
" le.fit(encoded)\n",
" num_labels = le.transform(encoded)\n",
" \n",
" ent = entropy2(num_labels)\n",
" ent_list.append((base, ent))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"48 0.613270072402\n"
]
},
{
"data": {
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On4eA9Oo0DsJnl/cS5QAkOy/NGreSwWBYRlRAuqYHpOOWhSxgWnYvKa76wPmfLz9sGZQ2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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fee7850>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x112eb1c90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"96 0.669263346617\n"
]
},
{
"data": {
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A7gvCmFvv1SfW3V4w7idkIgBZKGKUsC0ay+OPMTTuw8lscYt/k7BXb5W3W0uQ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WAAAG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\nACIiIiKmKaICiIiIiJim+H9h68EnlsB12gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112d99550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x11313e990>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"24 0.686962006334\n"
]
},
{
"data": {
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TRiPFTECma5io1PILtlGp0b5rafBhQZDhegnSqDVJWgF/fOV9Pv3rl62bDKXl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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112ffcd50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x11338ecd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"64 0.713397127437\n"
]
},
{
"data": {
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QzpD4cclkNXW/9C/6pBcRegN+pkbkxkl4A7EbLuz9kDIaoUjf5l1DfPq6+/Dt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\nVW3CXb9SWpVcU5dIoQhpbuCjPWyvgE1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RXUJE64noJiJ6jjjWhUR0p/13oRh/LhHdbF9z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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11324df50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x113633d10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"16 0.718355618617\n"
]
},
{
"data": {
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KJaEUPpJS6IyS5FHkvZTi9Zk4u/hdUivJhBRWbhxpnmWxTvM0ZSgnxb4L97w+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\npx6d6Nu9Iyfut33TuoOLD9+Vz/SLTj3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091TIDPTNAd+lV+emzftyZz3su0O32PjShmEY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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113148710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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VeiUgtwTCpFE1wCyJClODC2oKhZBSWRuWDhz58eA9xLWKClMTYa1OMLQR1mHotrZh2Klz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\nQRAEIyeEPgiCYOSE0AdBEIyc/w8wGfq3H87axQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11388bb90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"12 0.737064699266\n"
]
},
{
"data": {
"image/png": 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FYL64j84KVnFZtnYTq9fHb/FaKK1qvORlaeRi4laaOOGaKWtORJV7nnRCMI1w\ndcW1ugY7xjMy5xMUMTqAHuPiXKQYdq09Vi3S5Bnn7lvseFMaDTCWMpi5rnk8O370x6ffc8arxkoH\nXpgUwWJjue6NWwIj9/QF2X2zy+1Sm6p+lm6yNc4X13srJ4++sSi1ih67VlNESCZP17WcStzckbj6\n4BLw1k21XOk6S50ft1iBZcsrSRPV1qa48ammgg4T5SbdWEPy+lKOFcPTOD1k+kWOix59Y3Fe2PKP\nNyXPoIx4YVIE377bGNi1VK4p87LqZrV7cOkaleTaRq3MXN+6czqf+cMLzvO/fPQtBl7+SE5Z8uO5\nGtM09yCabmFBqxy6iS03M6zVIrDA3minMdVE49qs60k6DPYINz39HgMvf8R5/ok3l/Crie/wy0ff\nLpxBDGn61qnqdhnNvYk2uyviVTHTTeIaXY0xkly8MKkApjfLDZPnZI7NHvPsD4P9NZJU6lTzoDK2\nfMf5SDcrLq3scZrlKVys39zCg68tTBAzGUopbn52rjUc3PfAOWZiFUL2+1WsnT1uQlpkORWrkHId\nJ38+VmHrdBgobIID+NXEQEi4NMJNLUHjty7BMjYhby/+iGnvr4qP6CBeQKQwb5bZ0pDBUUHXbsze\np7CdeG7O8sx9vPGpeG+5ZWurr514YVIiYd1yVbIHjMbzry/MA2DFx5tYsyFQ+V8zzGOrN5S+J4jK\n+cw7X6StOI4kmsnV/3qTy+6ZkXpXw1zi9nawNWquyYdxvXtXg20uQR9r5nKkZz0fc13aZe4z5rgU\nD94leMI0cvMKn0drGVvakb97jrNverHo6+P3dzHiphE8Ke5dHG80r8kcm4J2zPhXMsfjdZsBsOLj\noH0whU0c1bSMeGFSKirvwMmiNcFYy7pNWTV1wktZL4vzjIX1TPtyqY2viavhssYtsifuIvz9SRZa\nLIVMQ5/j+WRrDOMG49scPfPYfUdcZrAYaeIyR9kujzb6pcWNXOe4J3Gz6Nsccxmr5ZyRbn+Xws89\nGtc4LlKamHX+qXeCPf5efC9rDv/fB2dljt9cZN8V1NahSEo1VirwwqRMpPG4cVXI+Suyy49caVSu\nmboH8/js7GBbqNnkZxJXBuOFS2UaSd4AFcOGza0lmTVMzLKWrDW4BEjm02UeMtO133NbfWhzlM0W\nmMhEKuH5/LK78ogTtirn/oa32KWZZHcLjIYvXbuROXpztXKQTtuwH8fGjYlsdvwWrclOrvyfe2dm\njl+Zl989PeYyAAAgAElEQVQ5bF4dPxEz1aKxKvpZDUoSJiLybRGZJSKzReQyHfZTEVkoIjP03+lG\n/CtEpElE3hGRU43wkTqsSUQuN8IHicgUEZkjIveISCcd3ll/b9LnB5byO6pFGrPR0o/ybZ5mY/vt\nu1/LHH+wMiuEnovZjz3Ni2GOk8SVPNVmd5a4P/zn65x904ssXrMx/yTBTo4X/20a7yxem9g12OUO\nGen9R2acF47raqyK8eZy9aJdZjexnE9jxHAKxRRalatDEf7+XPPiVQ/N4qm3l2bj5Vx35P89ycnX\nP1u44CkoWtsosqNkDoQ/PDPYNfwf05ozYef/ZUrmuEmvWO3OpPDpIqNmqGvNRET2A74ODAcOBM4U\nkSH69PVKqYP036M6/lBgNLAvMBL4o4g0ikgjcCNwGjAUOE/HBbhWpzUEWAVcpMMvAlYppfYErtfx\ntineN7SYL92arbT/0pXaHKsx7bFpxkxM0ixPUQyzPgy0L5cJbPaHH/HYrMV8/76Z1vMmca7B7jGT\nwqYi1+KNaRpkM2r8XiMxpqsie+Jx3mymucom3FxZ5TppTHjpfS687VVH7OxKBeUiVqszSLN6wEvG\nZMA3FmbHOa57PFiDzOVdtcSYQlDOHRoTWUHKlltyStFM9gFeVkqtV0q1AM8Any0QfxRwt1Jqk1Jq\nHsGWu8P1X5NSaq5SajNwNzBK7wd/AnCfvn4CcJaR1gR9fB9wosSNylaIsNFI8vCKqU9JKqFrsmS4\n0KG5MJ454G/2Gu15249ttMWsKRWh4JNymY1CbcNeJltvO7dGhDFcjand5OMSPDoPo0TOssUJHiOw\nNUZTcpvo8iOb5YlqmTbTlT1dUzA7NRMKD8BXy9QS1zEwcQnl8J1pa1PMWRpoE39+JusxeIExOB7O\n5yilcc+M45W5+a9UuoUoRZjMAo4VkV4i0o1gT/YB+tylIvK6iIwXkZ10WD/gA+P6Zh3mCu8FrNaC\nygyPpKXPr9Hx2wXJKl/+Sx5NI3klMYXNV/6a7Sne9uJ8AN5evDbTaJi9LNdcCRsuc5AVy/mw4XP+\n3jCexHtPxS0V73J3tV5nBBXttmvJwzWbPFa4WQRBKeWx5eF6ls4xiVDDcjz4rHCvXn8vrg4+b+wQ\naa41dtcrCwCYmWKehnPcLMG1YZ0qx5hrYep4BrxS6i0C89Ik4HFgJtAC3ATsARwELAJ+oy+x/RpV\nRHihtCKIyFgRmSoiU5cts68wWwvSVIVS3C3TTCQM1XdzDZ+HZnyYOf7PW4W1mDT5bmppjTTML89d\nwXvL1hW8JrvjnP28eZ9cZq4wShKvrPCFjTSmbfnn48qbF16gXBAvsFwNuuue2wZio3kUFqBWzcw4\nL4ZuFldXXc3Z315+nxZDJVu/2W7qjKvNtvGkRWs2Zn6vaUK9+t/ZhVuveSw7mTLsTKV5d1yCy7bO\nWtJrC5GmSWg3A/BKqVuVUocopY4FVgJzlFJLlFKtSqk24C8EZiwINIsBxuX9gQ8LhC8HeohIh5zw\nSFr6fHedf275blZKDVNKDevTp08pP9VJpbwmsg1ffMKuhit2WRELm4w9QH476d3MsfnChUuBb2lt\ny0yOSjMb+5t/m87//CM79mHuNa6AWQvXOE1wSSYiZueAmNeZmoC9929v6A0hZR0/yIZFzFyRNFxf\n8mO7zGO2CGnGv8y0IqYrizuvS3OL04adQtw4Xrluc96ig1c+OCujJa9at5mhP5lYMB8XprZhThx+\nQTulPJBgwmwxr3Fc56VQuqnWhksjRJJHLRulenPtrD93Az4H3CUiuxhRPktgDgN4GBitPbEGAUOA\nV4BXgSHac6sTwSD9wyqouU8B5+jrxwAPGWmN0cfnAE+qco5wVYjsPIfSK1BcIwiVW+IkXNzyBcNz\nbNwj2XGZJ97MXy8oF9eLrRSc+fvn8wZubaaSNF5HEfOQ0YDG9dJTja9YyptXTtt1rjxssiRyHC/A\ns67Bjjxs5TGOo2Mm9msyjgRx42YC3713Blc+OIu3cuZShK7uSwvM3A6f/OS3l2ZManMNL6mxd0zL\nHJt73VSqYQjTTaKFuuJkxqwS5Jcmbkg1R5I7xEcpyD9FpBewBbhEKbVKRO4QkYMIfvN84BsASqnZ\nInIv8CaBOewSpVQrgIhcCkwEGoHxSqnZOv0fAneLyC+A14BbdfitwB0i0kSgkYwu8XeUzDqHam4S\nVoI0CkMi7cKlQrs3xCsJm1fPFMN3/tK/Z92W312ylr367kBrm+KZd+NNje5tcINPwa6d2AaKRQSb\ne3BkZ0OLWSn63ptCyJKHqfFYzCy56WXzUNb7GO8QYD+Oa2JcZq74iZqF44J9AN4lpFetC2Zxmxqw\nK2+AZ95dxqf2CqwKX7t9aiZ8xbrN9NmhM7c+P8+ajkkx/cw0l6SxAOSWJc21NmcJCDaD69Bo1wva\nk5nrGKXUUKXUgUqpyTrsy0qp/ZVSByilPqOUWmTEH6eU2kMp9Uml1GNG+KNKqb30uXFG+Fyl1HCl\n1J5KqXOVUpt0+Eb9fU99Pn+BpgrwX3e9Zg2ftXANP7jv9djrzYYkNq7+TGTmcoRnezK1U9ru1CYN\n11pBj72xKPLdPYs6+A0Njq6WS0DY08oexzesRtwUdiW3tmHRmiJxsce17EviSiN+mfv88ri0qhaL\nSUwpe40y76Vt/ESQTOFyf0dolsq9zFxapGQSmYzTJBdEdlU3m/txbtw0HUtX3LP+aF8ItWnp2szk\n57qeZ7ItEs7hMFHYPT9G/u5ZVq+3r7WVaFBdR8mtQHELBdryKeYFKRdxqV185/TId7NBMm3rmVDH\n5lC2gekk4ystFs3EtQFVpLdt+WUuWRM3/8HV0OdEys8j5vebRISiw/0463RQWBszETHMXDHjORu3\ntDLzg9X6vEsDrV3Hp1iSCHjXGGjcAqomc5as5Zl3l2U8zkJmLcxffkWpYLXmauKFSYm46v7bi9dy\n1DVPRuOGL2sK81NuZbP1up2aSQnqd7m4/aX34yMZmILWXFImDH5l3krWb86fJBadq+F4uW2NpcOs\nZHv5reaqyHiIPa7L5GULa4sTbsZ1Lo3HLujs9yeuitiEbe4lttn5P/vXbHJ5xNBCbfkW2ofjjpxB\n+0pr22lSdwqTyHF+3TO/J3n/Lr5zOr/7z7ux8TI55iu2FcULk5Sck7OS6dPvLHW+kOssjd6a9Vs4\n/YbnYvNxVz59PqYnasatGAnTd70oz83JH0NpdUhaM42wx2Um+z//yJoZrS+3QzuIM3O54sb1/qNm\nN3t6trCoFhMjFGIEoXnsEkJxYybm87DFnbd8Xaaem/fnrleMqWO2e2WpnEf832Rnw2wuhAhuwVaI\nSr0Obm8uy73Nqd4Z60FOvGsft+/9Eq4cnEvT0uhyLd/823TmLS/sbl9uvDBJydScxQifeHMJ/5qR\nb/6ysbmljXkr7A/48n/ax1xye+FxL79Jmjkq6V7KdK/l5tY2Z0OUS6tDa7MtvWGmaU48C6Ou3dTC\n24ttJgCHFmMV1PbG2z4Aj/XYuTGVbRFG43j52s15aZnYtJggP0tkIyxqrrNENQLN+z7qxnzb/J1T\nsiaXVBq3JeMtrcr5W3Mpxu09Can2OQk/HZeYwRs2t9HWpvLeg+HjJluFzk1PvxeZexPietdP+u0z\neWH3GeuE+TGTdsIrCZeIv3dqM/+2jLsA3P3qB3lhrW2KY657KhLWphQtrW0Rk4Cr+qcxc2XSqsA7\nuqVVWV/+ltb8MFcjYTXvOTWy7InMxEvJxj/7ppes6caNg8QtfGleP9WoE2Z5Jlns2C5BMM5YBieU\nWaYXlEuLMVdPsI1nmEJxi8Wr6rFZWddu2zNSyn7v41YNjguD5Ot1VUqYFENuWUKPNfN2LP94E9dO\nfNvp5GG7dXv++LG8sHr63bl4YRJDuccSJlrmYLxoWelXKWixdPVa2xT/+9CsqMaii2iuHgxuV8Jq\ns7nFrpnYXow0wsTVS7MKUcc9MBuvf07Pn/ti3mfbIPfiyGJ+2fO/MSZ8muHmQoEhl92T3QY6Tpu8\n/aX5RnmycV9bkHUCSTMu871w8qhx3hR4aRqvVG6uDi0maRqpJvsljpmOpiUf02rRNg7++SRr/H9M\nbbb+7hXrNjHjg2TLt9Szg4IXJjGU+9nZKtMXb5mSFzb1/VXWZejbFDzyetSdNuzl5WoxrW2KLa1t\nTF8Qv09IMVpMLi4b7ZbWNrZYeri2XqirMbWbuezlcPeQ8zFfTts+Ez964I3MsbmvttnJeFmvKpvE\nQ2lDzP7dcd5c5j42ZtxfTXwncxx6ESoUy7WN/bqJWRt8mtV6bXHdc4Fc4flhWxzSxGbasREKnb9P\nWRATMx0Zx4ucQs+31O13lqzlhslzEjfwSinum96cF37pnfYpBzYS3p6a4IVJDOXuCSxMsAlOyMV3\nTssLu+2F+XmvcqEB+Gsee9s6q3j2h9EecjnU56/81T4nYHNLm9Wma7UJp9BM0qxS6/p1NjPOM+8u\ns8b/hTHL/2f/yq7tFGovrtnbr87PCvOwbA/O+NDayF7xzzfywhRwv14xwLwProl/f3luHhBdoeDd\nJdkB2jSbkJVDM0lq4gS78MqdLQ9Zc28akrzKT7y5hLY2lVe3jvv109b40xessj7Hdxbnb/qlgJ8b\na4KFLMixKBTCaybtmFo+Opv/+PX/eTdvD+iWNmVVk9uUyhMaIWfc8Hzke6sKtJh7puaP3bjI7aF+\n7NiberPjpd9ia2QcDZLN5FeONclc98c1yTLENG+F+bncoG+YPMcabtsHw0w35CNDGzE1vAv/6t4r\nBNxakKnFmLzQtCIvzH7f7fm5OgK2BtAlCGz52TTG1jZYH6PlxTHLYnKc+cFqbntxfmJngg2bW7n6\nX/kC4tTf5W/65doqwvbMXRTb6XNtFFdOvDCJoZ57AiZnWTxtxt4+lZfn5r+INu1IKbj2sbdpXpV/\nbsrcFXlxbbh6ypsd4TY3YNfLYt/EKXncm5+1L5JgahsmW1L0eosdV7PdaxvOLZpjcPX+bXy4xl4W\ncywmDpemaHumto4E2Mts2zCttU2xflMyYfKXZ+da68qZv3/eWrYJL8231qHv3jsjL2zq+6t4PmZ3\n03JSbF2oBl6YxNBOZIkVc095k9zJlBC8nLdY1jl6YvZivmCs6hty37Rmvnrb1EjYppbWyLhCiKth\nto6ZpGhkXG3l2xYTA5BKzUwjTMq9Y2Aurt0n40jTi3X9XpsWo4DxL+TXFXdHID/MpZnY0rAtSb/4\now28Z9kK9/xbXs5rcF98bwWDf/SoVejb5nO8v2J9ZBOskPstDhrthWq4Bpe60ONWT3sWJmmwvTwA\n11hetlfnr4zsdRKypVXxmT/ka0i2MIjuYBcy17FXtm3Wu83+DNHl8k1c5jYbG7ckj1uv7pppyuXS\nKm24NDGXR5JNcDwx277Ux79z1moDuPGp9/LCcjsyIS80reBH9+ePO7lwaaye9Eg7WLm9LAwbNkxN\nnWqvgIVYt6mFfa8qbn8FT/ulsUESN8bdu3asS/PDDl065I2vuejU2JBK2HraFxccsTtXj9qvqGtF\nZJpSalhcPG/mimHbELWeXNL06tN6FVWLpIIE0mltnvaHX5urDmgvA/Ce2mFbg83j2dYodafFb4vI\nLBGZLSKX6bCeIjJJROboz510uIjIDSLSJCKvi8ghRjpjdPw5IjLGCD9URN7Q19wgeps9Vx6VwMsS\nj8fT3pEqjMAXLUxEZD/g6wR7vB8InCkiQ4DLgclKqSHAZP0d4DSCrXqHAGOBm3Q6PYGrgMN1WlcZ\nwuEmHTe8bqQOd+VRdraVMSWPx7P1Uo12rBTNZB/gZaXUeqVUC/AMwZ7vo4AJOs4E4Cx9PAq4XQW8\nDPTQ+8WfCkxSSq1USq0CJgEj9bkdlVIv6f3db89Jy5ZH2alTRx2Px+OpK0oRJrOAY0Wkl4h0A04H\nBgB9w6169efOOn4/wJxe3azDCoU3W8IpkEcEERkrIlNFZOqyZfH7j9vwmonH42nv1LWZSyn1FnAt\ngSbxODATKOQ+Yvs1qojwNGW8WSk1TCk1rE+fPmkuzeA1E4/H44mnpAF4pdStSqlDlFLHAiuBOcAS\nbaJCfy7V0ZsJNJeQ/sCHMeH9LeEUyKPsVHp7UI/H49kaKNWba2f9uRvwOeAu4GEg9MgaAzykjx8G\nLtBeXSOANdpENRE4RUR20gPvpwAT9bm1IjJCe3FdkJOWLY+y461cHo/HE0+py6n8U0R6AVuAS5RS\nq0TkGuBeEbkIWACcq+M+SjCu0gSsBy4EUEqtFJGfA+ESqFcrpcLVCS8GbgO6Ao/pPwBXHmXHCxOP\nx9Peqfu1uZRSx1jCVgAnWsIVcIkjnfHAeEv4VCBvDQBXHpXAT1psHwzo2ZUPVibfK6Ye2Rp+g2fb\nxc+Aj6G9CJPtO2/ba3Z27tBY6yLkcfignpy0T9+Ccf5yQbDk0XadGjl9/10Kxr3twsPKVrZKM7j3\ndrUuQk3pvX2nWhchQjWaMS9MYmgnsoQ+O3SudRHKzvmH72YNv+ykIezVd/tI2JdH7M4lx+9hfYn/\n3+iD8sK279yBTx+4KwCn7feJTPjfv3Z45vhrRw/KHH/7xCGZfELGHjs4c/zXIhv6Bm1+EJHMBkYu\nk0RjQ/6JU4b2ZfjAngAM3WXHTPivzz0wc/yHLx6cOT7zgEBgfe/kvTJhxwzpbY3br0dXAE4eaheI\n/33Cnjx4yVF54QN7dePYvfK9Jw8a0MOaztZI107117mpNF6YxFANYbJL9y7W8A6WxsNFiqhV5dxD\n+0e+X3jUQMZ9Nmu53KFzBz4/rD9TfnRipNE/Y/9d+NHp+zDv/07PhF1+2t7845tHcNlJe3H9F7Jx\n7//WkVxwxO58/9S96b19IFRvOC/bKA4f1DNzPP4rgSaw8w6d6ahv2qG7Z1fj6dgh+0qcZDSiDbqF\n79jYwK76eZmNY6MhAVzPM8QUPKbgCJ/hNz+1h1VwmHmcddCueee/fERW0JllCK8b0LMrvbYLhG2D\nkf5lJ2UFS/+dumWOLzxqIAA9unZkkNY0Hvt21rL9pSN256ABPXj2+8dz9ah9Adh31x15+vvHc/lp\ne/OTM4dm4k687Fge+NaRjPvsfpk6IQL//q+jefb7x0d+x49P34fffSG/A2Bjt57d4iPVgMYUgxTV\neHerYWHxwiSGargGNzgqXkOKWtahobRHOWz3/OXNhuy8vSVmtFcbcsVpe2eO/3rhYQwf2JNXf3xS\npld7zJDeTL3yJK769L6cf3i20Zv8P5/iunMOpO+OXdh5h6AB7L19Z248/xC269whMtlqxOBeHKZ7\n4eY9O2S3nfImZXU07p0Zt2Nj/n0yz3dwXGd7FGaYed1/ay3GJGyYIdrQiOTn1yDZSVamUDTrgynI\nwjpqlscURrYJa+Ioe2dDmJq/P5y828lyfrde3dg5RzPu0rGRrxqaXWNDUI7zD9+dL2ntToD9+nVn\nt17dmH/NGezUrSMAh+zeg7MO7sfbPx/JM98/LpPG3F+ezhWn7c3nDu7HIbsFvz8UYrmEWpXJxcft\nYY2bFFODjSPNu+t6/81nUSrezFUH1HLSYpoei60nm4Z+O+W/fAfvlm2w9t01a0LpoBvkb3xqMFee\nsQ8/+8y+EZPP8Z/cmXu/eQR9dugcKVeoNUTKbbxIcb/B1VjaEBGuO/sAvjxi90jDGREmkp+ued6M\namscIoIgIoTyyzO4T1Yw2wSWUipTTnO/7p7dsma7WAFhXGfmEV5nNigNjvseFSZhXvCbzx/EMUN6\nRzSBBotQdHXIXfkVitulYyPdu3bMhjcI3/jUHvz2CwdlxsgaG4SXrziRk/bZmRk/OTkT94uGibRr\nxyBuqJXl8rmD++WFjRjcMy8szTuWSjNxpGvr+BSL10zqgGo8BNeSLWkqZNKKftWnh0Z6uyHh1abd\n/ZghWbv3Tecfyqf26hN5YVHwtWMGM+bIgc7lGuLK1Rhp9AqXPU5TyE3384cN4Odn7ZejmeRfaL7M\n5gsskcaycHk6xDT0ZnnN/MyYYmgmtusaHQLLNtYSd19d6Zq/3yznobvvxB0XHR4VthatykVDgrjh\nW2Bq2XE9/AYRPtG9C7eMOYwehuD91nF78OPT9+GHI/fmvOH5Y287dDEcVixZ3D32iLywzSl2o4y7\nH9G49vByLuVUjU6xFyYxFPs89+u3Y3wkjetBp1GVkwoTAT59QL7XUNjT+8anBvPVowbxi7P2ywxQ\nQ2DKmPDV4fTo1inTaCW5NbGNjMOsFJdWfNzscaNYGkuzMTaFgiFs4hpLl4CwxTW1hkZL3GAAPlMg\n80JreewCq7BQjI7P2MtjmrHi1nMSo/WI6whEfnP4CJzmXeO6IidIiAhfP3YwFx+3R8RUPe3Kkzhi\ncC/+denRmbBjh0SdBZ74zrHWNDtYOiIuyqHFpGl69u/XPSZG5aXJtu1PmoBiewdpeiYu7SdNGv16\ndLXuwT3+K8Mi+2Xv1687IsJuPbuxYOV6dunehUnf/RQtrW3s0KUDp++/C6MOylf7bZSj52Rv1Bya\nmsV0k0u2d29v3O1jJtljm3koN44t3Q6WuCoSN3scNVflp+vKw3VdZswk0rjbhWL2enu6Ec0kTvuz\nmbkce/o1WMrj1MgTPOfwN6cVNb2278xdY0cA8OcvH0pLq+KMA3Zh5brNXP3vNwHYq+8O1msP2W0n\nHn1jcaJ80ggTp6aW4vWKy66tChtpes0khmKbyzSrdDo1kxRvypgjB1rD99s122O57uwDGKYHsDds\nCXYHfPCSo9i+cwd6dOvElWcOTWSnLaav6Hox0plKzOOYXrPZuTd+ks1DziV4bD15s5fr0kZsRYuY\noBxxrdcZxzaNxsQleOK0qqjmVhlNMfKcXQJCWeKWYep2mG7uO3nqvp/gDK2lm84CIa//9JTM8T67\n7MgGy46aLpfwAT3zxyBdOO9HitYnrr2piiNRxXNo55haw3nDd2Pkvsk8OlJoxLhE1r672lXXn5+V\ntyhApPHos0NnjhnSmwuO2D1SUT9/WHY9zb47BoPh28VMdmwQIoOgUN6lGWy9aZfgiTTeCQdxc4/t\nYx/Z44iZq0iHgIzpyojr0gTMAXjb725w9NJtRXPmYdzjMAuXkEqjmbgEpA1bR8Bt5kr+DJJw1J7B\nPJqDBsSZgqLs2KVjxhzW0trGmQfuSqfGhsj8I5cW88Xhu1vDbbjHTJKX1XafnvvB8ZnjaoyZeDNX\nDOYD3aFLB1au25TounRmLnv4D0Z+kuf/sDwvfO9P5FfgViORf3zjCAbqeQGr1m22pj1+zGFMfX9V\n7Mz5N68e6RQe5RgfTOfNVbgxjaQbY+YxiTTCTiFUWBOwDcCbt8fVeMfVEvN8pDzGmfA5uMx11jGc\nBGauOOKEm4nNzOVMN8FzVjap6ODkoX15/aensGOXjgXjPf0/xzFv+bpIWOeOwf1oaVMM6r0d7447\nDYBbnp+XV9ZunRpZr7UXm6f+tWfvzw//+UZe+AH9e/DMu/n7LaV5vWy3wfTM867BdYCpmbh6j2da\nBrRdPedwtrKJUorLTsqfm2AOhn5ix+wktDDpXbt34YjBvYCg5xTS0TFXwGTnHbvELt8BgXtm7lIl\n4fdOCfzg42RqnDkmEtfR6Mfl64qa8YIqsjwu76m48ZWo1mDvpYdfXY2+3SRmjxsnpF3jRHENUJyw\nNYmauQqnG+cCbeIao8klTpAADOy9HcfvHd1nL2yQXZ5c5q19yFgNwFY/B/ayLzHzbcu7D5Q8Zm7e\nu3rftnebwHwGStmf77jP7p84vevOOSA/D+wVzXxZ77s466qY9c6RjFlmi6GZRCbsVeAJjx4+gG9+\nag8uOX7PktOyNZa59zjbsNqvs+Eycw3stR2n7tuX//eFfPdoswy5x3F5RLUNmybgKlvw6XrZo9fl\npyGSjRPVTFIMpOdE+Pyw/kz46vBsGVyD6g5hao+b/zxyrwjvQSmmrRvOOziyJE6phJpai2ME2yXs\nQ4YP7MnAXsHcHLOD2aNbVrh1tLyk3z/1k9ZxjuM/mb9MzXdP3svaLpnF8fNM6oDcZ2C1azvq/pdG\n5Pu3h2ozkJnx29aWnbB2xv67ZHpDZrpdOma1g8xM6QajspuaSWTinUQ+y0HnDo1cftreseMtJkkG\nAGPNH0U29NExkQb+/OVh7N/fbj+P0zBcE/9s+blMVFEngOKEYnholic6idKeho3ce3ndOQfyKcva\nWrmI7Tc7snJ5mpmomPO2uLl85sBdOXLP3o6z6Qk7ay2t8Z5npgBvVVkPO9v8IVOLsd2zfj26Wtua\nqz5tn/Fv64xEVjCwXlVeSt0c6zsiMltEZonIXSLSRURuE5F5IjJD/x2k44qI3CAiTSLyuogcYqQz\nRkTm6L8xRvihIvKGvuYGvUkWItJTRCbp+JP0ploVIWLmMv6bWCu/gp7bBYPc5qQp8wHfcVHQg1LK\neDHFPkBpm5ncIMKp+wbLlQw0Vmk1B5HDXqVtsl65sS2/ktQMAfFaVLoxE/M4eRnSmLlcA/fWMZMU\nJjGwm+Bc2o19zCS/Q+EirnFPQqyZK9V9jX9eoWl5916VXZurk65IrY6efYNkTdBmHQgVmcaG7Btg\n3iPbsjTdOjVmVpk2b8E/vpm1StjmuiRxWKnrAXgR6Qf8NzBUKbVBRO4FRuvT31dK3ZdzyWnAEP13\nOHATcLiI9ASuAoYR1N9pIvKwUmqVjjMWeJlgc62RBBtkXQ5MVkpdIyKX6+8/LPa3FCK39x0+uOu/\ncCDfuWcmYK/8CpWJbI53mDHDF6xNqUzPQogKi5Co2UIyn184bDdO338XdjBswqZm0qVjA18/ZlDi\nuSOl8Ni3j3FW2iRadirXYNc8k/AzhT3fJE77cZna0nhaxZnrXBqNLQ2XgEk1FlUGrbUYTdFVrCTl\n+fKI3fn8sAERjb0SdO/aka8dPYjPHmJ/f0SEZ35wHErBRxu2ZMJbMya7hswDNX9Vp8hKA9nz5lhZ\n+AP1MhgAABaVSURBVMpElpRxtDVh3Ju/fChj75im42bj7OVYZ6+clGrm6gB0FZEOQDeye7TbGAXc\nrgJeBnro/dtPBSYppVZqATIJGKnP7aiUeklvrHU7cJaR1gR9PMEILzt77rw9V56xD+A2cZj8So+J\nmOMrrsYjNHdEe7CSSdvl6ZTbkOyQM7iYO/v5x2cMZb/YGbKl06GxIW9QPtSIkpjEnBMR9Wexs+XT\nUOy8l7jrohpGYcHj0mgaLPUoUicd82lKFSZF3soINkGXZO6Ru0xScUES5nPlmUOdbvqNDULnDo10\n6dgYuY9tulfVKEb9dWgmoe7SIIYWQ9Z05XJtD60SSpnaqf25/5dl8dFyU7QwUUotBH5NsG3uIoI9\n3Z/Qp8dpU9b1IhKu7tcP+MBIolmHFQpvtoQD9NV7xKM/oy4YFcLsAdhWe4XsviKK+PGVBkMzCYn2\nTrJxbT1NVyNRzvGRUhk+qCffP/WTXHt2vuNBLuaci0LnId28hjjM3FzzM+LKEz+XxS5A0niMxZn5\nkswzsVHskiVpsHmwOck5/etzD+Tf/3W0PW6NcZkWQ1f9xgaxrspgm89jOlOIZOtlpBNh3Jy9PxEs\n2aQw4prrmFa5GShamOhxilHAIGBXYDsR+RJwBbA3cBjQk6z5yfbTVBHhaco4VkSmisjUZcvy/bhT\npBNkrszegnk+e5ztdWVFj6tX2hhJN5tW+LLFrURbjUagVESES47fk56OFVtNYsdBYhrsaFpJere2\nsOK0nzitKZUAiRzbf7PpzWW9zqE12ahG58PliRbB8Xafc2j/qmjWabCZohuN8YxWQ6vIaBsRwWM+\nV4l8htdlVgRwtAOZ6EYDEjGFFrVWRfGUYuY6CZinlFqmlNoC3A8cqZRapE1Zm4C/AqGPYTMwwLi+\nP4FZrFB4f0s4wBJtBkN/LrUVUCl1s1JqmFJqWJ8+8d4pLmyPJDqBLD/c1ExcpgrTFdYUPFnNwyiD\nDuvSscGabnvDtpKAa2wj87IVOaheLLZGOOo9lT12dS5sYbb64iLS08Re52xp2cZaXI1LmjGlOFwp\nuSaGmoSbe3XpWKr1vfKE9c8lIMIdP4cYO4LGef81iKsjYq884fOMaCYpOlzlppSntgAYISLdtJfV\nicBbRiMvBGMZs3T8h4ELtFfXCAKz2CJgInCKiOyktZ1TgIn63FoRGaHTugB4yEgr9PoaY4RXhPCh\nBNpGgKunmY2L1SRmnVdhTIY0x0xyK9bjlx3Ds98/PmMWyz3/7ROH5G1SVK/c9KVDeO+Xp1vPudTP\ncq/ZZHLX10dwUc76TK6l4m1lsGo0Drdd12C8DZdpK96UZqlnRCfd3jN2RGTTrmrh+s3fP/WTvPfL\n0/MmydYjV316Xzo0SMS0ZQqTQ3fvyd+/djjfOWkvqyZm02RFxOrynWYNuFpauIv25lJKTRGR+4Dp\nQAvwGnAz8JiI9CF4/2YA39SXPAqcDjQB64ELdTorReTnwKs63tVKqZX6+GLgNqArgRfXYzr8GuBe\nEbmIQKidW+zvSIL5fNqMRj9z3mJScI2Z2HoybaaZC3eFCG2kSz7alJcWwHdO3ovvWHZBrEdEJG/9\nsvDemRtCmSRxDS5WxhyxRy+O2KNXTn6uPLSwb7DHtWomjjKmMXk5V5e1lMF1bJbh8MG9OHxwr/yT\nFSb8HbmmT1udqFe+NCK7Y2RIrrYcznexCQgTmyUisqCoQ6vNxE0wAF8NSlqbSyl1FYFbr8kJjrgK\nuMRxbjww3hI+Fchb1VAptYJAE6oqkYFaV6+0Ib/mOAdRTdfgTORs/FaHn61LM2nvdO/WkV+ctV/e\nkhYh0cHFwr+9LOuGFTGrO/c4/jpHJB2eRosp1h3aRaUmTXfq0MD/fW5/ji7j5MJ6oNh7Lsazzpiu\njHvvamvCI2W4BkUsYlVuHvxCjwkwH2BmAN5hIHT1LjJpGccZ12BjYD9IIytkbGSFSWzR2x25vT3I\n3rOqDyjGCgV7uGQLHHtdvIAwj4srj0kxS5FXolGy7X64teO69+H9bRAydSZ3ukBIGlNntZuH+h/p\nqiNcS1eYRGY/x6iepi00M76CsJM287jysJnatmbC/eVte5G4SHVrYswP7jxiNBNHulEPrfw64CpD\nrEdtrMmscvXF5c597qH9reHbElmXd/t500Eio20YkePWfXOZuardPnjNJAHZtiFfe8gl4u4bXm9J\ny4yrE8+cv2XMMB6btZh+Pewb7HyiezCj/uShfRP/hvbMD0buzQ9G7p3qmiQmmrhXrdj1v+LSlchY\nS/Ixk1hhkaLtqFYz86tzD+RX5x5Ypdzqg1zznTlm8tAlR/H+yvXW60TszzhStyymXuWKm6rUpeOF\nSQKyvYXoQLk1riF4bL21iDCJaCZZ1+Bde3TN8ywy6dejK9OuPCnR3I1tjXJ2xuJNCuZxYQ0jep3d\nFGEruktgWZ07YvJNSxqTWOiBtdM2XidnXnUKXXNm5pt158ABPThwQI/IeXOmu9nWhLi8CsN023K8\nQW35VgMvTJIglkbfZS83BtDs80yyX2x7RyStAL22bx8uwJXkD188mH122TESVs5B4/gxiuQvbsQG\n7kjDVvQ0nl+1ZJ9dduDno/blzAN2rXVRakrurqQmLuHsmrsU4pw/RH7dSbMXTLnxwiQFkYmIzglg\nOm7EzGWvDLbJW9UeZG7PVKPhuvT4PTlxn52Z8cHqgvFsXjYu0gghZ6clRTXZrWc3LjxqIOcfvhu3\nvTg/+YUpEBG+fMTAiqTd3rF5aJm0WZx6TMETu/KDY2WOauMH4BNgNXMl6Ina4kZ6pbYBeC9LSmKM\nbtD672Qfb0rL/5z6SQ7ezb7DQbHPyuW+aUvONcgf3bStsDomIlz16X3Zc2f7fuXO6xxi8YS9d2a7\nTvU/sbBeyMwWcJwPHWpcZq5oHckXLNExk9o1IF4zSUD2+djX27LFNdfmsqcVcMLeO/OFwwaw4uPN\n1vOedHz+sAF8/rAB8RGLpBzbnyYxXUnmvBk3ebou0hTfZZYZ/5XDkifiYY+dt2dm8xq272wXwP13\n6srwQT353sl7cferwZq3kXkmlhXDIdoG1cMSS16YJMA2DuKSJvYtW912zPDFvHPK+9aEn/vB8Xy0\ncQueylHM3ItSSGXmcrgR264r9yTD7fW2AT0cKxJ4kjHurP0ZdVA/p2bYsbGBe78RbIB1TyhMjPNx\n9cU2R60WeGGSAHMcJBMWM2aSGz8OV89iQM/K7iS3rXD7V4dntgcIKea9K8egZpoBeJdmUrLgSPA7\nPn3Arny0YQvnDqucprct0LVTY6JtkIHspMWIgMA4tpi5VLxjUDXwwiQlSd9h13L1cel6K1dlODbp\ny5yAUk1dqWYpR8ZXCjtslLshaWjwg+rVxlwJOBPmdCXPxo1zDKoGfgA+LTG2yewS9MbaXInSrX3P\nYlvjswcHs7OHD6rMYodxy2cEx4UFS5zZolwmuoMG9ODA/vW1Z8i2SLx3X+HOg9dM6pyMh0UCAWFz\nDYZgue/Jb1u3XQGCLW8BOjV6L5lqccQevZh/zRmpr+vQmL4PFulRuiYixlxXSR685Kgq5eQphOHr\nw73fOIJJby6OnLdu86ySW0wqiRcmCbDZJuOIugZL7HLfZx/Sn/dXrOfSE/YssbSeSqKU4q8XHsY/\npjY7l7sJSWJycK/xFnzGL7cikRr5968dzrtL1jrjh5Ndd+ziX/1a87svHETfHbtEwswVNIYP6snw\nQT1zzuc7ZAQz4At7mVYDX6MSYLVNxrh0RrbtTfCEO3Vo4PLT0q0/5akMD15yVN5LaX7fo8/2iZ5V\nko5Hqe6+0TyEI/fsndlHw8alx+/Jrt278OltfKZ6PXDWwf2c54pdW66WZq6SxkxE5DsiMltEZonI\nXSLSRUQGicgUEZkjIveISCcdt7P+3qTPDzTSuUKHvyMipxrhI3VYk4hcboRb86gYFtNV3Mzk6KCY\npz1xkGX9pDSk8fiyDqrHDLq7iW+BOnVoYPTw3SITZj31g7ntdxpSjtBWhKKFiYj0A/4bGKaU2g9o\nBEYD1wLXK6WGAKuAi/QlFwGrlFJ7AtfreIjIUH3dvsBI4I8i0igijcCNwGnAUOA8HZcCeVSE6OSg\nOHUyK00yD9iPqrd7Qm+wUQV6k8UQN18kzTyUXAb32Y6zDvIaSHvCNg0hPq6qi0mLpXpzdQC6ikgH\noBuwiGCnxfv0+QkE+8ADjNLf0edP1Hu7jwLuVkptUkrNI9jWd7j+a1JKzVVKbQbuBkbpa1x5VBRz\nTrvroe3eqxvDB/Xk2nMOyIR5UdL+Gdxne+ZfcwaHOJZWMUnjOhxXN0rx5nrye8fxu9EHJy6Lp34o\n9FxP2qcvf/rSoYZjUJZatjVFCxOl1ELg1wR7sC8C1gDTgNVKqRYdrRkIu3L9gA/0tS06fi8zPOca\nV3ivAnlUBDFtV9lQa9xwNuthA3s6ewtfOXIgFx41sNzF9LRDYs1cCdIIHQG6dfJDoO2di44ezK7d\nu3DK0E8449wyZhgj9/tEdGO1Su2xnIKia5+I7ESgVQwCVgP/IDBJ5VJoPp4qEG4TdIXi28o4FhgL\nsNtuxW8TavYA0s1qD01i0SL/9DP7Fl0WT33xn+8ey5oN0eVutteeUrv26Mq6Ta0lpW/TTLp0zL4a\ngnDN2Qcwcr9P5C3H72l/7Lnz9rx4xYmpromO5bbDMRPgJGCeUmqZUmoLcD9wJNBDm70A+gMf6uNm\nYACAPt8dWGmG51zjCl9eII8ISqmblVLDlFLD+vQpfgZ0ZIkUS5iLcKOg7b0b5lbLnjvvwKG7R903\n9921Ozd+8RB++dn9S04/t57d+bXDmfy94zID6B07NLB95w7b/D4i2yKmG3E9UEortwAYISLdgA3A\nicBU4CngHIIxjjHAQzr+w/r7S/r8k0opJSIPA38Xkd8CuwJDgFcIFIIhIjIIWEgwSP9FfY0rj4pi\nqpJJ5P+3TxxCvx5dOXP/XSpXKE/dMO6z+7FX32AxvzMOSPbMOzYGNen4vXeOhLsG1o/Sbr99d+jM\n2GMH841jBxdbXE874v5vHZlnFclOQ6gPz9GihYlSaoqI3AdMB1qA14CbgUeAu0XkFzrsVn3JrcAd\nItJEoJGM1unMFpF7gTd1OpcopVoBRORSYCKBp9h4pdRsndYPHXlUhEjv0HiiFx09iOfmLAPgx6fv\nw4Ce0UlsXTo28qURu1eyaJ464vzD0z3rTo0NdO7QyPM/PJ4+O3TmuXeXA7DfrvHLmnRobOBHp+9T\nVDk97Q+b48fZh/Zn2vur+M7Je3H44F78912v8YnuXSxXV4eS7C9KqauAq3KC5xJ4YuXG3Qic60hn\nHDDOEv4o8Kgl3JpHpVHAiD16MbN5DX126Mz/njk0c+7rvofoieG6cw7gidlLAJj5k1MyO+v13ylY\nGfqkoX154fIT6NejK3/44sHc9PR7dCpi6RbPtkG3Th0y3nqfOXBXPnNgYOrcsUsHPtrYUujSiuCN\n+Qkw9zP5/imf5Pzhu2caAI+nED8+Yx82t7ZxzJA+dO3UyOf1cu7du9n3Cg89s07cpy8n7tMXgKtH\n7cua9X5PG08ynr/8BDZtaat6vl6YJMD0DO7Q2MBuvbwg8SRjUO/tuP2rpSnRF/hl4D0p2LFLR6iB\ntcvr0CmoB19uj8fjqUe8MEmAFLlejsfj8WwreGGSgI7ap7+zHwz1eDweK37MJAEnD+3Lxcft4X36\nPR5Pu+K6sw9gcJ/tqpKXFyYJ6NDYwA9H+r1GPB5P++Lzhw2Ij1QmvN3G4/F4PCXjhYnH4/F4SsYL\nE4/H4/GUjBcmHo/H4ykZL0w8Ho/HUzJemHg8Ho+nZLww8Xg8Hk/JeGHi8Xg8npKRbWXxQhFZBrxf\nQhK9CbYMrjX1Ug7wZbFRL+UAXxYb9VIOaD9l2V0pFbvv+TYjTEpFRKYqpYb5cmTxZanfcoAvSz2X\nA7a+sngzl8fj8XhKxgsTj8fj8ZSMFybJubnWBdDUSznAl8VGvZQDfFls1Es5YCsrix8z8Xg8Hk/J\neM3E4/F4PCXjhUkMIjJSRN4RkSYRubwK+Y0XkaUiMssI6ykik0Rkjv7cSYeLiNygy/a6iBxSxnIM\nEJGnROQtEZktIt+uYVm6iMgrIjJTl+VnOnyQiEzRZblHRDrp8M76e5M+P7BcZdHpN4rIayLy7xqX\nY76IvCEiM0Rkqg6r+vPR6fcQkftE5G1dZ46oUV35pL4f4d9HInJZjcryHV1fZ4nIXboe16qufFuX\nY7aIXKbDyntPlFL+z/EHNALvAYOBTsBMYGiF8zwWOASYZYRdB1yujy8HrtXHpwOPAQKMAKaUsRy7\nAIfo4x2Ad4GhNSqLANvr447AFJ3HvcBoHf4n4GJ9/C3gT/p4NHBPmZ/Rd4G/A//W32tVjvlA75yw\nqj8fnf4E4Gv6uBPQo1ZlMcrUCCwGdq92WYB+wDygq1FHvlKLugLsB8wCuhFsiPgfYEi570nZH+DW\n9AccAUw0vl8BXFGFfAcSFSbvALvo412Ad/Txn4HzbPEqUKaHgJNrXRb9QkwHDieYZNUh91kBE4Ej\n9HEHHU/KlH9/YDJwAvBv/cJVvRw6zfnkC5OqPx9gR91wSq3LkpP/KcALtSgLgTD5AOipn/2/gVNr\nVGfPBW4xvv8v8INy3xNv5ipMWCFCmnVYtemrlFoEoD931uFVKZ9WuQ8m0AhqUhZtWpoBLAUmEWiM\nq5VSLZb8MmXR59cAvcpUlN8RvIht+nuvGpUDQAFPiMg0ERmrw2rxfAYDy4C/avPfLSKyXY3KYjIa\nuEsfV7UsSqmFwK+BBcAigmc/jdrUlVnAsSLSS0S6EWgeAyjzPfHCpDBiCasn97eKl09Etgf+CVym\nlPqoVmVRSrUqpQ4i0AyGA/sUyK8iZRGRM4GlSqlpZnC1y2FwlFLqEOA04BIRObZA3EqWpQOBafYm\npdTBwDoCs0ktyhJkEIxFfAb4R1zUSpRFjz+MAgYBuwLbETwnV14VuydKqbeAawk6YY8TmOtbClxS\nVFm8MClMM4EED+kPfFiDciwRkV0A9OdSHV7R8olIRwJBcqdS6v5aliVEKbUaeJrAlttDRDpY8suU\nRZ/vDqwsQ/ZHAZ8RkfnA3QSmrt/VoBwAKKU+1J9LgQcIhGwtnk8z0KyUmqK/30cgXGpZV04Dpiul\nlujv1S7LScA8pdQypdQW4H7gSGpXV25VSh2ilDpWpzuHMt8TL0wK8yowRHtgdCJQmx+uQTkeBsbo\n4zEE4xdh+AXa+2IEsCZUW0tFRAS4FXhLKfXbGpelj4j00MddCV7Ut4CngHMcZQnLeA7wpNLG31JQ\nSl2hlOqvlBpIUBeeVEqdX+1yAIjIdiKyQ3hMMD4wixo8H6XUYuADEfmkDjoReLMWZTE4j6yJK8yz\nmmVZAIwQkW76XQrvSdXrCoCI7Kw/dwM+R3BvyntPyjHAszX/EdgX3yWw0f+4CvndRWBj3ULQQ7iI\nwHY6maA3MRnoqeMKcKMu2xvAsDKW42gC1fZ1YIb+O71GZTkAeE2XZRbwEx0+GHgFaCIwZ3TW4V30\n9yZ9fnAFntNxZL25ql4OnedM/Tc7rJu1eD46/YOAqfoZPQjsVMOydANWAN2NsFrU258Bb+s6ewfQ\nuVZ1FniOQJjNBE6sxD3xM+A9Ho/HUzLezOXxeDyekvHCxOPxeDwl44WJx+PxeErGCxOPx+PxlIwX\nJh6Px+MpGS9MPB6Px1MyXph4PB6Pp2S8MPF4PB5Pyfx/Mq0yUYChC1AAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113a57b50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wyRkJfQRVmOofbzbmkF6pClM+Ews8I6GPoApT/ePNU8shvVIVpnwmFnhGQh+h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\njw1wCiB9AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113b93950>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"32 0.767192613346\n"
]
},
{
"data": {
"image/png": 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4Lsf5SsN5p0IivCaA5frMbq+PG19BcHXPJ7e98Hi1Nu8Mr7/+IyObvFl75XGj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"text/plain": [
"<matplotlib.figure.Figure at 0x113841290>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wKXd/Cfg3M1sErgb+ofUeSjjRLv4+Foxue++i3EQJqiauuqzbovYpGtgoQ3FdxujfZWbv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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fee7850>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"8 0.775231057936\n"
]
},
{
"data": {
"image/png": 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Nj5qGnMHor6gGp7ktqJe513l8H0qSAAafW5+pZeCEfyU+Ly5Re39k907LupR9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\noaxNquvQrAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113841f50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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d2aeVz2JmBdMzIl3HfLQH3/crazupav+57HZgWtuzZ+g+tpzsscBnUvi6Bvas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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11365aa90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"128 0.810464818407\n"
]
},
{
"data": {
"image/png": 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BUYUE2E4ByfkFgE8J2whsu0rgTrP8kAIw0kDyeleoViR1JZWBow6gFAFYDACf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\nToviBsBxHKdF+X8KG5r0UGW8zwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113a43310>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1135e7bd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"72 0.821942978879\n"
]
},
{
"data": {
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8X73/XQBe2flszpDQAx4GVGnUPSUNz0CvxHs//xAeeHKzlQ6XTE4yxjl0iPoB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\nIrF0KDinnQ7zWYYYV4S0+tsLvu0A/taVB2rOxXwWRaS64ililTu1hHS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4GJg2MeYB6aKL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"text/plain": [
"<matplotlib.figure.Figure at 0x113635510>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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azZCcpJg70XiwDFOqublIc1EDV/Tu/iMze8LMjnH3R4CVwHerrzXAFdW/tyVpacY0zLC7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\n0IuIFO7/AU2iMsZSf+gXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1133b3ed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sorted_ent = sorted(ent_list, key=lambda x: x[1])\n",
"top_10 = sorted_ent[0:10]\n",
"\n",
"for base,ent in top_10:\n",
" encoded, left_over = base_encode_file(bin_data, base)\n",
" le = preprocessing.LabelEncoder()\n",
" le.fit(encoded)\n",
" num_labels = le.transform(encoded)\n",
" \n",
" data_ac = complex_autocorrelation(num_labels)\n",
" \n",
" ax = plt.figure().gca()\n",
" ax.yaxis.set_major_locator(MaxNLocator(integer=True))\n",
" ax.xaxis.set_major_locator(MaxNLocator(integer=True))\n",
"\n",
" print base, ent\n",
" plt.plot(data_ac.real[1:])\n",
" plt.show()\n",
" \n",
" \n",
" plt.plot(num_labels, range(0,len(num_labels)), '.')\n",
" plt.show() "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
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]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bin(int(binascii.hexlify(bin_data), 16))[2:]"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
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},
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"pygments_lexer": "ipython2",
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},
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}
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