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Response to "Problems with extracting firmware" on RE.SE
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h2>Quickly Testing for Compression and Encryption via Byte Frequency Analysis</h2>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Question: [Problems with extracting firmware](https://reverseengineering.stackexchange.com/questions/20070/problems-with-extracting-firmware)\n",
"\n",
"If you just want the answer and are not interested in how the analysis was performed, the reasoning behind the approach, the methodology etc. then skip to the end."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Examining the entropy plot of a file can give us quite a bit of insight into how information within the file is organized, but for certain problems only knowing file entropy on its own is insufficient. One example of such a problem is the one which we currently face, where there are high-entropy regions in a file that appear to possibly be compressed or encrypted in an entropy plot, but we are not sure. Fortunately there are approaches we can take to solving such a problem without relying on entropy at all. \n",
"\n",
"Here we will analyze the relative frequencies of byte values in areas of files that are compressed or encrypted to get a sense for what their byte value distributions look like. We can then use this knowledge to determine whether the file `HW718V40_20171008.firmware` is compressed or encrypted or not.\n",
"\n",
"For additional information, ideas and approaches pertaining to this type of problem, see the following:\n",
"\n",
" - [Fast Forensics Using Simple Statistics & Cool Tools](https://www.defcon.org/images/defcon-21/dc-21-presentations/Ortiz/DEFCON-21-Ortiz-Fast-Forensics-Using-Simple-Statistics-and-Cool-Tools.pdf)\n",
" - [Approaches to the classification of high entropy file fragments](https://ac.els-cdn.com/S174228761300090X/1-s2.0-S174228761300090X-main.pdf?_tid=719e701b-5cd1-4135-baa2-df8b4f9e0e46&acdnat=1544221583_d0060f8b708d2ef727bee0af47223467)\n",
" - [NIST SP 800-22](https://nvlpubs.nist.gov/nistpubs/legacy/sp/nistspecialpublication800-22r1a.pdf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" We will examine a few different types of data (image, encoded audio, bzip compressed ELF binary) to develop a baseline for what byte value distributions look like in compressed data. \n",
" \n",
" Links to files discussed below:\n",
" \n",
" image download link: \n",
" https://pmcvariety.files.wordpress.com/2017/04/bladerunnerbloodnew.jpg?w=1000&h=563&crop=1\n",
"\n",
" firmware download link:\n",
" http://downloads.linksys.com/downloads/firmware/FW_E2500_3.0.05.002_20180914.bin\n",
"\n",
" Debian SH4 libc6 port .deb download link:\n",
" http://ftp.ports.debian.org/debian-ports//pool-sh4/main/g/glibc/libc6_2.28-2_sh4.deb\n",
"\n",
" RISC OS Pico download link:\n",
" https://www.riscosopen.org/zipfiles/platform/raspberry-pi/Pico.5.zip?1487718362\n",
"\n",
"\n",
"The files `bash.gpg` and `bash.bzip2` were created using command line utilities on a Linux host. \n",
"\n",
"```\n",
"$ bzip2 bash\n",
"```\n",
"\n",
"```\n",
"$ gpg --cipher-algo AES256 --symmetric bash\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams['figure.figsize'] = [15, 5]\n",
"import seaborn as sns; sns.set()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Code for creating plots of [relative frequency histograms](https://onlinecourses.science.psu.edu/stat414/node/120/) and [cumulative distribution functions](https://onlinecourses.science.psu.edu/stat414/node/98/) follows."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"def plot_relative_frequency_distribution(data, filename):\n",
" \n",
" # unvariate\n",
" ax = sns.distplot(np.array(list(data)), \n",
" bins=256, \n",
" kde=False,\n",
" hist_kws={'alpha':0.8},\n",
" norm_hist=True, \n",
" color='blue');\n",
" ax.set(xlabel='Byte Value (base 10)', \n",
" ylabel='Relative Frequency', \n",
" title='Relative Frequency Histogram of Byte Values')\n",
" # control x axis range\n",
" ax.set_xlim(-10, 260)\n",
" #ax.set_ylim(0, 0.10)\n",
" ax.set_title(filename)\n",
" \n",
" \n",
"def plot_cdf(data, filename):\n",
" ax = sns.distplot(np.array(list(data)), \n",
" bins=256, \n",
" kde=False,\n",
" hist_kws={'histtype':'step', 'cumulative': True, 'linewidth':1, 'alpha':1}, \n",
" kde_kws={'cumulative': True},\n",
" norm_hist=True, \n",
" color='red');\n",
" \n",
" ax.set(xlabel='Byte Value (base 10)', \n",
" ylabel='Probability', \n",
" title='CDF of Byte Values')\n",
" # control x axis range\n",
" ax.set_xlim(-10, 260)\n",
" #ax.set_ylim(0, 0.10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The code below is used to control how the plots are displayed. See Jake VanerPlas's [Python Data Science Handbook](https://jakevdp.github.io/PythonDataScienceHandbook/04.08-multiple-subplots.html#plt.GridSpec:-More-Complicated-Arrangements) for more information."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"def create_plots(file):\n",
" \n",
" with open(file, 'rb') as f:\n",
" data = f.read()\n",
" \n",
" # control layout\n",
" grid = plt.GridSpec(1, 3, wspace=0.3, hspace=0.1)\n",
" \n",
" # first plot\n",
" plt.subplot(grid[0, :2])\n",
" plot_relative_frequency_distribution(data, f.name)\n",
"\n",
" # second plot\n",
" plt.subplot(grid[0, 2:])\n",
" plot_cdf(data, f.name)\n",
"\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is a list of the various files that will be examined, seperated into different groups and ordered by size (where applicable). Naturally, more files may be added to any of these lists for additional exploration."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"# files\n",
"\n",
"encrypted_files = ['bash.gpg'] # if you have more files known to be encrypted, just add them to the list\n",
"\n",
"compressed_files = [\n",
" 'bladerunnerbloodnew.jpg', # 135778\n",
" 'bash.bz2', # 462600\n",
" 'libc6_2.28-2_sh4.deb', # 2613772\n",
" 'Pico.5.zip', # 3975682\n",
" 'Werewolves (320 kbps).mp3', # 8471125 <---- convert any short song from youtube to mp3\n",
" 'FW_E2500_3.0.05.002_20180914.bin', # 12809216 \n",
" ]\n",
"\n",
"unknown_encoding_file = ['HW718V40_20171008.firmware']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Before we proceed to analyze the sample files, we need a baseline for comparison. For the problem at hand, an appropriate baseline is random data. After generating the data, we visualize the relative frequencies of the byte values. \n",
"\n",
"To simulate random byte values, we will generate a large number of values between 0 and 256."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"random_integers = np.random.randint(0, 256, 1000000) # Generate random integers between 0 - 256"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot\n",
"\n",
"grid = plt.GridSpec(1, 3, wspace=0.3, hspace=0.1)\n",
"plt.subplot(grid[0, :2])\n",
"plot_relative_frequency_distribution(random_integers, 'Random Integers')\n",
"plt.subplot(grid[0, 2:])\n",
"plot_cdf(random_integers, 'Random Integers')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some observations:\n",
" \n",
" - There is no discernible pattern in the histogram.\n",
" - The CDF looks like a straight line running diagonally from 0 to 1 (in other words, it has a slope of 1).\n",
" - The distribution of byte values appears to be very close to [uniform](https://onlinecourses.science.psu.edu/stat414/node/135/).\n",
" \n",
" \n",
"Now that we know what the expected distribution of random bytes is, we can proceed with the example files. We will begin with the AES-encrypted file created by encrypting the Linux utility `bash` with `gpg` in the following way:\n",
"\n",
"```\n",
"$ gpg --cipher-algo AES256 --symmetric bash\n",
"```\n",
"\n",
"The output is a file called `bash.gpg`."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for file in encrypted_files:\n",
" create_plots(file)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some observations:\n",
"\n",
" - there no discernible pattern\n",
" - the distribution looks very close to uniform\n",
"\n",
"This indicates that the distribution of byte values in encrypted data will be very similar to the distribution of byte values generated that have been generated randomly. Let us see how compressed and encoded data compares to this. For each file analyzed, we should pay close attention to the variations we see in both the relative frequency histograms and the CDF plots. Non-randomness can manifest itself in interesting ways."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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673//q48//liPPPJIpe+PiopS165dtWTJEsPrHDlypF599VVFRESoefPmDqWYc+bM0TXXXKO//OUvatCggf72t79VWiobEhKic+fO2Z9fer5VFVeHDh20ePFiFRQUaPny5fq///s/p22cKUkFEBD+8Y9/6OjRo8rPz9df//pXDR06VGfOnNFll12mRo0aKT8/Xy+99JJ9/mPHjmnTpk06e/as6tatq3r16jl0m++qN954Qz///LOysrK0dOlSDR06VJI0ffp0tWrVSikpKQ7znz59Wvfcc486d+5co3EBAaC6GjZsqClTpmjevHnauHGjzp07p4KCAm3dutU+ZEVMTIy2bt2q/Px85ebm6q233qr2+lq1aqULFy7o448/VkFBgRYvXlxpBy1nzpxR3bp11bhxY507d07PPPOMw/Tw8HCHapsVGT58uFavXq3169fbq/pK0u9+9zu9+uqr9rZyp06d0ocffmhoG44dO6Zly5bppZde0kMPPaSgoPKX0qtXr1ZeXp6CgoLUqFEjSZLValVYWJiCgoKqNUZpZb8xMTEx+uKLL5SZmalTp07pr3/9q8P7rrjiikrXZ7VaNXjwYD377LM6ffq0fvrpJy1ZssRtw9+UcuW4l9WhQwdFREToL3/5i86ePasLFy7oyy+/lFRyDmRnZ1e6rOHDh2vlypXav3+/Ll68qGeeeUYdOnRQ8+bNXd6GYcOGafHixcrLy1NeXp5efvllh3PKFRcvXtTq1asd+qG47LLLFB8fr4cffljt27d3KLUtewz79OmjgwcPatWqVSooKFBBQYH27NnjUBusrEGDBikrK0svvviivcOkUmfOnFH9+vVVv359ff/99w5D+pQVExOjjz76SOfOndOhQ4f03nvvGYrr4sWLWrNmjU6dOqXg4GDVr1+/ymsuklQAASEhIUF33323BgwYoBYtWui+++7THXfcoQsXLuj666/X6NGj1atXL/v8RUVFWrJkiXr16qVu3brpiy++0OzZsw2ta9asWeU6oOjfv79uuukmJSUlqU+fPrrlllsklYydt3HjRocefnfv3q2PPvpIe/fu1cqVKx2mZWZmum+nAEAV7rrrLk2bNk2LFi1S9+7d1adPHy1fvlwDBgyQVNKerW3bturXr5/uvvtue3JUHQ0bNtTs2bP1xz/+Ub1791ZISEilVV2TkpIUHR2tXr16adiwYeXadd5yyy367rvvnLZ97Nevnw4ePKgrrrjCYfzKgQMHavz48XrooYfUuXNnJSQk6JNPPnEae9euXdWpUycNHz5cW7du1fPPP2//ni9r27ZtGjZsmGJjY+09tF522WUKCQnRxIkTdeuttyouLk5ff/2103VeqrLfmB49emjo0KEaMWKEbrrpJvXt29fhfePGjdP69evVtWtXPf744+WWO3PmTIWEhGjAgAH2Zic333yz4biMcOW4l2W1WvXKK6/o0KFD6tu3r3r37m2/oXD99dfr6quvVs+ePXXdddeVe2/37t314IMPavLkyerZs6eOHDni0POvK+6//361a9fOPobttdde6/KwcaW9Ot9www36+uuvtWjRIofS4KSkJP33v/8tV9W37DFs0KCB3njjDaWlpalXr17q2bOnnn76aaeJf7169RQfH6+srKxyyfWjjz6qtWvXqnPnzpo5c6bTz/gdd9yh4OBg3XDDDXr00UcdllVVXKtXr1a/fv3UuXNnvfPOO+XGbi3LUuyJLroAAAAAAIZkZmZqyJAh+vTTT8t1sFgbUZIKAAAAAD5SWrtr6NChJKj/Q8dJAAAAAOADZ8+eVY8ePRQdHa3XX3/d1+GYBtV9AQAAAACmQXVfAAAAAIBpkKQCAAAAAEyDJBUAAAAAYBp0nPQ/J06cUVGRe5rnhoc30PHjp92yLNQMx8I8OBbmwbEwD46FebjzWAQFWdS4cX23LCsQObvm8qfPBLF6BrF6RlWxmu17y2tJakZGhqZNm6b8/HyFhoZq4cKFatmypcM8NptNjz/+uLZt2yaLxaIJEyYoOTm5ymkvvvii/vGPfygyMlKS1LlzZ82ePdul+IqKit2WpJYuD+bAsTAPjoV5cCzMg2NhHhwL76jqmsufjgOxegaxeoY/xeq1JHX27NkaM2aMEhMTtXr1as2aNUtLly51mCc1NVWHDx/Whg0blJ+fr6SkJHXv3l3Nmzd3Ok2SkpKS9Oijj3prcwAAAAAAHuCVNqnHjx/Xvn37lJCQIElKSEjQvn37lJeX5zBfWlqakpOTFRQUpLCwMA0YMEDr1q2rchoAAAAAIDB4pSQ1KytLTZo0kdVqlSRZrVZFRkYqKytLYWFhDvNFR0fbn0dFReno0aNVTpOkDz74QNu3b1dERIQmT56s2NhYl2IMD29QrW2rTEREQ7cuD9XHsTAPjoV5cCzMg2NhHhwLADCHgOg46Xe/+50mTpyo4OBgffrpp7r//vuVlpamxo0bG17G8eOn3VZPOyKioXJzT7llWagZjoV5cCzMg2NhHhwL83DnsQgKsrj95jcA1CZeqe4bFRWl7Oxs2Ww2SSWdIOXk5CgqKqrcfJmZmfbnWVlZatq0aZXTIiIiFBwcLEnq0aOHoqKi9O2333p0mwAAAAAA7ueVJDU8PFwxMTFau3atJGnt2rWKiYlxqOorSYMHD9aKFStUVFSkvLw8bdy4UfHx8VVOy87Oti9j//79+umnn9SqVStvbBoAAAAAwI28Vt13zpw5mjZtmhYtWqRGjRpp4cKFkqSUlBRNmTJF7du3V2Jior755hsNGjRIkjRp0iS1aNFCkpxOe+aZZ/Sf//xHQUFBCg4O1lNPPaWIiAhvbRoAAIBfW7hwodavX6+ffvpJqamp+u1vf1tuHmfDAQKAO3ktSW3durVWrFhR7vXXXnvN/r/VatXcuXMrfL+zaaUJLwAAAFzXv39/jRs3TmPHjq10nqqGAwQAd/FKdV8AAACYV1xcXLm+QspiOEAA3hIQvfvCn4TIZguS1Vok6ZyvgwEAAAZVNRygUVX1fOxPQwERq2cQq2c4xNqyZcnjwYO+CKVKJKnwKpstSIMHF2vduiD9b9hcAABQizgb9s+fhmUiVs8gVs+4NNawLu0kSdYjh+2vmW3oLKr7AqYRIputvqQQXwcCAEA5zoYDBOAfShPUvC//7eNInCNJBUyitJTZZuNjCQAwH2fDAQIwP39JUCWSVAAAgFrv8ccfV+/evXX06FHdddddGjZsmKSSoQL37t0rqWQ4wObNm2vQoEEaNWqUw3CAAEzuf21Q/SFBlWiTCgAAUOv98Y9/1B//+MdyrxsdKhCAyR06pLyck76OwjCS1IBD77kAAAAASoR1aSddeaWvw3AJ1X0DDO0aAQAAAEi/tEM161AzlSGTAQAAAIAA408dJZVFdV94CNWOAe/gswYAABz5c4IqUZIKD6HaMeAdfNYAAMCl/D1BlShJhduF/O9i2SKp2NfBAAAAALVGICSoEiWpKCdENlt9SSHVendpqQ4AAAAA77IeOez3CapEkooyqDoIAAAA+J+wLu1ka/FrX4fhFlT3NSU6QgEAAABgTKBU8y1FcZkJUZoJAAAAwIhAS1AlklQAAAAA8EuBmKBKVPcFgABDcwEAAGqDQE1QJUpSASCg0FwAAIDAF8gJqkRJKgB4GCWbAADAvaxHDis356Svw/AYbrUDgAdRsgkAANwpkIaaqQxXTR6Qny/ZbPUlhfg6FAAAAAABItCr+ZYiSfWAggJRcgIAAADAbWpLgiqRpAIAAACAqdWmBFUiSQUAAAAA06ptCapEkgqYTlCQhTbNAAAAqJUJqkSS6qdCSGIq5f/7pqiINs0AAAAoGWqmtiWoEkmqX2JIi8r5dt/4f4IMAAAAc6gNQ81UhiwHcBNuHsAzuPkBAEBtU1ur+ZbiahoATIybHwAA1C61PUGVpDq+DgAIXCGy2YJktRZJOufrYAAAAGByJKgluDUf8Kgq6CuUgAEAAMAoEtRfcPUc4HydKDGcClCbcZMMAAAjSFAdkaTCoxhOBai9fH2TDAAAf1Fbh5qpDG1SfYK2igAAAABq91AzleH2tg9QuoDaJ0S5uSWPoAosAAAoQTXfipEloULmbUvKBb4/stmCNGSIuDEjblIBAIASJKiV4yoJFTJrW1Iu8F1BQg/AbPheAgCJBLUqXOkDAaryhN7ZRWJNLyC5AAVQOTPfaMzPF99fALyCBLVq5vuVQC3n3iQnP19uW5a3earKtbOLxJpeQJr5AhQAnCkoMGcNIgCBhQTVGL6JYSruTnIKCvy3HaQvq1ybt00ygIpRiwEA/AFDzRjjn1fvAYeLi0DyS4JnKTPFf46z9xJk/9knMNOxMlMs5hAYtRg4rgACG0PNGOfPv2YBIzAuLlCqNMErVZq02mxWDR5crOJiKxdi/8O57z+8c6yMJSmBed5UN0ELqeSmmP/x/HElCQbgO1TzdY3XfuEzMjI0evRoxcfHa/To0Tp48GC5eWw2m+bOnasBAwZo4MCBWrFihaFppX744Qd17NhRCxcu9OSmwA+UJoZFRZe+6psLlLJJq1l7Tq6duGg1E88lKeY/ztXd9tL3BTb3HL/AvLkBwB+QoLrOa9/Us2fP1pgxY7R+/XqNGTNGs2bNKjdPamqqDh8+rA0bNuif//ynXnzxRf34449VTpNKktjZs2drwIAB3tokeFBN20SWJoLFl1y71Z4LlMApWfG08ueEOy6GzZYQmS0eT6p4WwPrs+/t4+n78yewjh+A2oYEtXq88o1//Phx7du3TwkJCZKkhIQE7du3T3l5eQ7zpaWlKTk5WUFBQQoLC9OAAQO0bt26KqdJ0quvvqo+ffqoZcuW3tikAOKbC5CqklB3ljZW3kY0MFVesuL75LXqmw++vSB2x8Ww2S6ojcfj6r4vnb++/bGy93qrIy6z7Xsjfhn2xNjn0tvb6I/7FADMggS1+up4YyVZWVlq0qSJrFarJMlqtSoyMlJZWVkKCwtzmC86Otr+PCoqSkePHq1y2oEDB7R9+3YtXbpUixYtqlaM4eENqvW+iuTmSnXqWGW1ShERDSuZLvv0qp7n55f0UhscLIWGln+/K8uuKJaEBOnDD4Mc5pecb4Pzbf/l/WWXUzq9qEhKSLDY11vZ+8uu38j2lF1/UZFFCQkWrV1bvW2q6bZX9ljZtlU1n6txXLrvExLkdD+46/hXtG3SL8ei7PlWNsay50Wpsp+FmnL18+KOZbq6DqPnvKvrq+jYO9v3lR2rtWt/ebRaK/48V/Z5N7qtRr8DXX3dmyo7d0v2Y1C5z6Wz+Ss6vpJnvt/cte9Kt8diMf775e4YjH2WPPcbAaB2IUGtGa8kqZ5UUFCgmTNn6sknn7QnwdVx/PhpFRW5q11PQxUW2mSzWZSbe6bcVJutvgoLi+3TjTwfPLhY69ZVPN2VZRuNRQpSYWFRpe+rTNn3l11OVcs3Or2q7fll/VZJxRXG4m6VbXtlj1Vtu7uOgSvH1l3Hv6JtK6m4UVxhTK6cr5d+FqoWIpstSFarZLNJVmuRpHOVxlvV+o2sS7K4uI2lMTrGVtU+NboNFa2v5Ku/0Om+MLqeS8/X4mLp6NFi+7a4ej45O3+MfAe6+nrZY1fZMXCHys/dkt+Lij6vFc3v7u9sI3FX/zPhuJyS7an6+6ey41dcHORwfrl/W5z/drsiKMji1pvfAPyP9chh5eac9HUYfssr9XeioqKUnZ0tm80mqaT9aE5OjqKiosrNl5mZaX+elZWlpk2bOp2Wm5urw4cPa8KECerXr5/eeustvfvuu5o5c6YXtgy/8H1VUvfzfVusQOWtKti/VFW0eLzKoqsd2JTt9dmb1TeHDPHM+MH+2imY+9sm893xC/f9Nnjr/GKcaAA1xVAzNeeVK4nw8HDFxMRo7dq1kqS1a9cqJibGoaqvJA0ePFgrVqxQUVGR8vLytHHjRsXHxzudFh0drV27dmnz5s3avHmz7rjjDo0aNUrz58/3xqbVYo4XYYHYwyRtsSrinovvsj0elxWIF4llE/Oq9kHtYq6bXDX97Af2d4dr3wH++NvgrzdbasrIKAzHjx/XhAkTNHz4cA0ePFhz5sxRYWGh94MFTIxqvu7htW/gOXPmaNmyZYqPj9fylSYhAAAgAElEQVSyZcs0d+5cSVJKSor27t0rSUpMTFTz5s01aNAgjRo1SpMmTVKLFi2qnAbvC+yLMFTGW8fdUxeJvkx+jSelta8Uzh8TGf/h3vPJ/d8Bte98NysjozC88sorat26tVJTU5Wamqr//Oc/2rBhgw+iBcyJBNV9vNYmtXXr1hWObfraa6/Z/7darfbktSxn0y41efLk6gcJVKA0sSnfDsrz7dgceXt9gac0UdywwaqiotKSO2fJ0S9tWiXv7PfSJGDdutL1Vo9jyW1xQPRyXXabqprP158VxzjKKjm3LJaK31N+G39p8+z8nHVU9fnkvN22p10aH3yndBSGJUuWSCoZhWH+/PnKy8tzqPVmsVh05swZFRUV6eLFiyooKFCTJk18FTZgKiSo7uX3HSfBVSQ6ripNbMpe5JVeXBlPeGrGXcmLZ1TvAtpXfjmmzhO2S/d5UFDJcf7ls+Pez5LRBMyosttodJs9GafryaPjeWV0Gyr7zHrbpXGU9cu5Vdl7LJXMX73j98u+d0xGLz3HBw8u8vk+c1TT7xV+74wyOgrD/fffr8mTJ6tnz546d+6cxo4dqy5duri8vqo6lfKn3pWJ1TP8LtaWLaUgi3TwoCJ8HZATFe1Xs+5rktRaxryJTsUXI2YpEXGmuhf/3tq2ypIKd66/phfQ/qCiUlh3XtTXNIl0d5JbmZrE6WryaPy8cv794f594lryExRkUVGR3ByDay7d9+ZLRitW0++Vmv7e+cPvj7etW7dObdq00VtvvaUzZ84oJSVF69at0+DBg11ajrMRFUqGVjrljnA9jlg9w99itf36Skn/K0E1cdwV7dcIyf6a2Xolp36ND1VV/a4m1fPcVbXP0234yvZwWlYgd2Dh/m2ruPOZytpClr5eXGxVZce35sffXB3iuIO3Ojxy9TPsalyB1DlVZW1ay+4Td22zq+0yiyqq7WuQq+dBIB1X17m3fWsg//6UZXQUhmXLlmnEiBEKCgpSw4YN1a9fP+3atcsXIQOmYT1ymCq+HhD437wmVtVFZU0uht11Ie3pH2lz9HAaGB13VLfzmaKiyocjqenxr80d4tT0RpGnPxuX3qSoOE7ffS481X62qvPZjO12KzsPKovVPImV929Qud6pU2B897uD0VEYmjdvrk8++USSdPHiRX322Wf6zW9+4/V4AdNo2ZKhZjzE179igM/5W0/FtbukxDvckayY4wZM1SqLsyafC7Mn6GZbb3V4KlZ3lza7sl5v3xzwt+9+TzMyCsP06dP15Zdfavjw4UpKSlLLli01atQoX4YN+AwdJXkWbVK9ylOdy5ReTNSeNjOVdQLiHlUdJ992EmSWTmHcydW2g55uK+auToZqq8Dbf7WnA57Kvl883ea5JlWiq1JV7KXTy/a0XNsYGYXh17/+tb0HYKA2K01QdfCgqduh+jNuH3qRp6o+2mxBHr8TbLbSu1+qtFncfie8quNkliqs3jwm1W8X55n2lOap0ugLnq2iWPbYebYKrH+0WXZniZsZqxQb4c1SZnfvI6NNa4p9/7UOwA9QguodtfEKD9VQu5MCc3LnManqorC6SaTv+EfyUx2erqJY9th58lia5YaPN/n+s2F+xvcRbUoBeBcJqveQcQB+LpDbT1a3tLg2Jj/+xF9LE2Eu3mpTaraaRAB8gwTVu0hSAZNzdymne3m2xJIS/F8EUmJn1psi+EUgnW81xfcQAImhZryNb1x4hZkuePztrriZL+i9VWJp/PzxfjVfb53bZj4P/I2/fQdUh/d6WPZ9lVtvfQZrw3kDoGJhXdox1IyXkaR6hXsunM2U6LnKTBfYlY0P6c/7N9AZPX98Uc3XTOc2jKkNJWPeOi/NMIyLt7a1Npw3AMqjmq9v8E3rBe66cDbDxXAgJXKudhATSNsOAJ4RuJ2WAah9SFB9hyTVgzw9bIcvmCFR9pXavO1lmeVcpfodPMm7w/EEBqM3ZdmXAMyOBNW3SFI9yJvDdvCDD28yS8JO9bvarabfe652SmaW8z4QsC8BmBkJqu8ZurJbunSp8vLyPB0LaoCqqkDtwme65omO+xIl33ceBOP47ABwhgTVHAwlqTt27FD//v117733Ki0tTRcvXvR0XHAz7loDgYXPtHmUVnEt2xkbfMPcw3YBMDuGmjEHQ0nqK6+8os2bN6t3795666231KNHD82YMUNffPGFp+MDAMCUyiZDJD/mwHEAUF0MNWMehhtyNW7cWGPHjtU///lP/f3vf9fevXs1btw49evXT4sXL9aZM2c8GSdMimpTAGorf06G+O4GAEdU8zUXl3ob+eyzz/TYY49p3LhxuuKKK7Rw4UI99dRT2r9/v1JSUjwVI7yguhcs/nyRBgC1Fd/dAPALElTzqWNkpoULF+qDDz5Qw4YNlZiYqNTUVDVp0sQ+vWPHjurWrZvHgoTnlV6wrFtnzrvqjkl0YF1YBfK2AQAAmBkJqjkZSlIvXLigl156SR06dKhwenBwsN577z23BgZcqqok2p8TPbPfIAAAM/Hn73sA5kKCal6Gqvvee++9uvLKKx1e+/nnn5WdnW1/3rp1a/dGhirVpE1RoLVHouoaAPiON39T+L4H4A4kqOZmKEm9//77dfToUYfXjh49qgceeMAjQcGYmvxQ8yOPQBJoN10Af8NvCgB/w1Az5mYoSc3IyFCbNm0cXmvTpo1++OEHjwQFAK7gAhkAABjFUDPmZyhJDQ8P16FDhxxeO3TokEJDQz0SFAAAAAC4G9V8/YOhJPXmm2/W5MmTtWXLFn333XfavHmzpkyZouTkZE/HBwAAAAA1RoLqPwz17jthwgTVqVNHCxcu1NGjR9W0aVMlJyfrrrvu8nR8AOBx9BYKAEBgI0H1L4aS1KCgII0fP17jx4/3dDwA4HUMAwQAQOAiQfU/hpJUSfrhhx904MABnT171uH1W265xe1BAQAAAEBNkaD6J0NJ6iuvvKKXX35Zbdu21eWXX25/3WKxkKQCAAAAMCXrkcPKzTnp6zDgIkNJ6ltvvaUVK1aobdu2no4HAAAAAGqMoWb8l6HefS+//HJdddVVno4FAAAAAGqMar7+zVCS+uCDD+rxxx9XTk6OioqKHP4AAAAAwCxIUP2foeq+06ZNkyStWLHC/lpxcbEsFov279/vmcgAAIApMWwTALMiQQ0MhpLUTZs2eToOAADgJxi2CYAZkaAGDkNJarNmzSRJRUVFOnbsmCIjIz0aFAAAAAAYRYIaWAy1ST158qQefvhhdejQQYMGDZJUUrr67LPPejQ4AAAAAKiK9chhEtQAYihJnT17tho0aKDNmzcrODhYkhQbG6sPP/zQo8EBAAAAgDMMNRN4DFX3/eyzz7Rt2zYFBwfLYilpfxIWFqbjx497NDgAAAAAqAzVfAOToZLUhg0b6sSJEw6vZWZmKiIiwiNBAQAAAIAzJKiBy1CSmpycrClTpmjnzp0qKipSenq6Hn30Uf3ud7/zdHwAAAAA4IAENbAZqu6bkpKiunXrat68eSosLNT06dM1evRo3XHHHZ6ODwAAAADsSFADn6Ek1WKx6M4779Sdd97p4XAAAABQHU8++aSSkpIUExPj61AAjyFBrR0Md5xUme7duxtaUUZGhqZNm6b8/HyFhoZq4cKFatmypcM8NptNjz/+uLZt2yaLxaIJEyYoOTm5ymnvv/++/va3vykoKEhFRUVKTk7WuHHjDMUFAAAQCAoLC3XPPfcoLCxMI0aM0IgRI9S0aVNfhwW4lfXIYeXmnPR1GPAwQ0nqjBkzHJ6fOHFCBQUFatKkiTZt2mRoRbNnz9aYMWOUmJio1atXa9asWVq6dKnDPKmpqTp8+LA2bNig/Px8JSUlqXv37mrevLnTafHx8brppptksVh0+vRpDR8+XN26dVPbtm0N7gYAAAD/NnPmTE2fPl2ffPKJUlNTtXjxYnXs2FFJSUkaOHCg6tev7+sQgRphqJnaw1DHSZs3b3b42717tyZOnKjbbrvN0EqOHz+uffv2KSEhQZKUkJCgffv2KS8vz2G+tLQ0JScnKygoSGFhYRowYIDWrVtX5bQGDRrYh8Y5f/68CgoK7M8BAABqC6vVqr59++qZZ57Ru+++q7y8PE2bNk09e/bUjBkzlJ2d7esQgWqhmm/tYihJLctqtWrixIl6/fXXDc2flZWlJk2ayGq12t8fGRmprKyscvNFR0fbn0dFReno0aNVTpOkTZs2adiwYerbt6/Gjx+vNm3aVGfTAAAA/Nbp06e1YsUK3X777brtttvUsWNHLV++XGlpaapXr57Gjx/v6xABl5Gg1j6GqvtW5NNPPzVVaWX//v3Vv39/ZWZmatKkSerdu7euuuoqw+8PD2/gtlhyc6U6dUoScm89enNd/vYoWXweg9kfvbUOfz4WZojB7MfCDNtm1kczxGD2RzPEYOTRapUiIhrKjKZMmaJt27apa9euuvXWWzVgwADVrVvXPv2xxx5Tly5dfBgh4DoS1NrJUJJ64403OiSk586d08WLFzV79mxDK4mKilJ2drZsNpusVqtsNptycnIUFRVVbr7MzEx16NBBkmPpqbNpl4qOjlb79u318ccfu5SkHj9+WkVFxYbnd66hCgttkoJUWFjklUdJXluXfz1aJRWbJBbzPnrj/JEsfn0sAukz5qljEUj7yHv7xipv/16Y9dH354+xY2GzWZSbe0bOBAVZ3Hrz26iOHTtq5syZioiIqHB6UFCQduzYUeE0Ix1cSiXNrxYvXqzi4mJZLBYtWbJEV1xxhTs3A7AjQa29DCWpf/7znx2eh4SEqFWrVmrQwNgXcHh4uGJiYrR27VolJiZq7dq1iomJUVhYmMN8gwcP1ooVKzRo0CDl5+dr48aNWr58eZXTvv/+e7Vu3VqSlJeXp127dmnQoEGGYgMAAAgEu3fv1j333FPu9QceeEAvvfSSpJJruIoY6eBy7969eumll/TWW28pIiJCp06dciipBdyJBLV2M5SkduvWrcYrmjNnjqZNm6ZFixapUaNGWrhwoSQpJSVFU6ZMUfv27ZWYmKhvvvnGnmBOmjRJLVq0kCSn0/75z3/q008/VZ06dVRcXKzbbrtNPXv2rHHMAAAA/mLXrl0Vvv755587fV9pB5dLliyRVNLB5fz585WXl+dQoPC3v/1Nd999t72ktmFDc1Z7RmBgqJnazVCS+sgjjxhqf/rUU09VOq1169ZasWJFuddfe+01+/9Wq1Vz586t8P3Opk2fPr3K2AAAAALR888/L0kqKCiw/1/qyJEjFTaPupSzDi4vTVK///57NW/eXGPHjtXZs2c1cOBA3XfffS73UVJVVWiztvmtCLF6RkTX9tKVV/pFzP4QY6mKYjVr/IaS1EaNGulf//qX+vbtq2bNmikzM1NbtmzRyJEjFRoa6ukYAQAAUInS0Q6Ki4sdRj6QSvr0mDx5slvWY7PZ9P/+3//TkiVLdPHiRY0fP17R0dFKSkpyaTnO+gGJiGio3NxT7gjX44jVMyK6tpetqLikmq/JY/ar/VpBrBGS/TVftaWvjKEk9eDBg3r11VcVFxdnf2337t1avHix3njjDY8FBwAAAOeefPJJSVJsbKxGjRrl8vuNdnAZHR2twYMHq27duqpbt6769++vPXv2uJykApUJ69JOCrLQDhUyNE7q119/rY4dOzq81rFjR6Wnp3skKAAAAFTtxx9/tP/fvXt3HTlypMI/Zy7t4FJSpR1cJiQkaPv27SouLlZBQYF27typtm3bun+jUCuVdpSkgwd9GgfMwVBJ6jXXXKNnnnlGDz74oC6//HKdP39eL7zwgmJiYjwdHwAAACoxfPhwe6HBwIEDZbFYVFzsWJXWYrFo//79TpdjpIPLYcOG6d///reGDh2qoKAg9ezZU7fccotnNgy1yqU9+VY8gBJqG0NJ6pNPPqnf//73iouLU6NGjXTy5Em1a9eu3NA0AAAA8J5La7UdOHCg2ssx0sFlUFCQHnvsMT322GPVXg9QFkPNoCKGktTmzZvrnXfeUVZWlnJychQREVFlT3EAAAAA4AxDzaAihpJUSTpx4oR27dql3NxcpaSkKDs7W8XFxWratKkn4wMAAEAlxowZY2gImOXLl3shGsA1YV3aydbi174OAyZkKEn9/PPPNXnyZLVr105fffWVUlJSdOjQIb355pt65ZVXPB0jAAAAKpCcnOzrEIBqoxQVlTGUpC5YsEDPPfecunfvrq5du0oq6d13z549Hg0OAAAAlRs5cqSvQwCqhVJUOGMoSf3pp5/UvXt3SbJXKQkODpbNZvNcZAAAAHBq1apV9nFK33vvvUrnoxdemAmdJaEqhpLU1q1ba9u2berVq5f9tR07dui3v/2txwIDAACAcx988IE9SV29enWF81gsFpJUmAYJKowwlKROmzZN9957r/r06aPz589r1qxZ2rx5sxYtWuTp+AAAAFCJS4eI+fvf/+7DSICqkaDCKENJaqdOnbRmzRqtWbNGN998s6KiovTee+/Rsy8AAICJnDx5Uh9//LFycnIUGRmpPn36qFGjRr4OCyBBhUuqTFJtNpvuvPNOvfHGG0pJSfFGTAAAAHDRZ599psmTJ6tVq1aKjo5WVlaW5s2bpxdffNHetwjgK/TkC1dUmaRarVb9+OOPKioq8kY8AAAAqIb58+dr3rx5Gjp0qP21Dz/8UHPnztW6det8GBlqO3ryhauCjMw0adIkzZkzRz/99JNsNpuKiorsfwAAAPC9nJwcxcfHO7w2cOBAHTt2zEcRAVTzRfUYapP6xz/+UZJjr3HFxcWyWCzav3+/ZyIDAACAYUlJSVq+fLnGjRtnf+3tt9+29/4LeBsJKqrLUJK6adMmT8cBAAAAF40ZM8Y+hn1RUZHefvttvf7662rSpImys7N1/PhxdezY0cdRojYiQUVNOE1Sc3NzFRERoWbNmnkrHgAAABiUnJzs8HzUqFE+igT4BQkqasppkhofH6+vvvrK/vyBBx7QSy+95PGgAAAAULWRI0f6OgTAAQkq3MFpklpcXOzw/PPPP/doMAAAAKi+Y8eOac+ePTpx4oTDddwtt9ziw6hQmzDUDNzBaZJa2sYBAAAA5rZx40Y98sgjuvLKK/Xdd9/p6quv1rfffqvOnTuTpMIrGGoG7uI0SbXZbNq5c6f9TlxhYaHDc0kMDg0AAGACzz33nBYsWKAhQ4aoa9euWrVqld5//3199913vg4NtQDVfOFOTpPU8PBwTZ8+3f48NDTU4bnFYqHnXwAAABPIzMzUkCFDHF4bOXKkevTooUcffdRHUaE2IEGFuzlNUjdv3uytOAAAAFAD4eHhOnbsmK644go1a9ZM6enpaty4sYqKinwdGgIYCSo8IcjXAQAAAKDmkpOT9eWXX0qS7rzzTo0bN06JiYm69dZbfRwZAhUJKjzFaUkqAAAA/MOECRPs/yclJalbt246d+6cWrdu7cOoEKhIUOFJJKkAAAABwmaz6euvv1ZOTo4iIyPVqVMnX4eEAMVQM/AkklQAAIAAcODAAU2aNEkXLlxQ06ZNdfToUV122WV6+eWX1bZtW1+HhwDCUDPwNMNJ6okTJ7R161bl5uYqJSVF2dnZKi4uVtOmTT0ZHwAAAAyYPn26xo4dq7vuuksWi0XFxcX629/+punTp2vlypW+Dg8Bgmq+8AZDHSd9/vnnGjx4sFJTU7Vo0SJJ0qFDhzRnzhxPxgYAAACDDh48qDvuuEMWi0VSyVCB48aN08GDB30bGAIGCSq8xVCSumDBAj333HN64403VKdOSeFrx44dtWfPHo8GBwAAAGNuvPHGcsMHbtmyRX369PFNQAgoJKjwJkPVfX/66Sd1795dkux354KDg2Wz2TwXGQAAAJx65JFH7NdmNptNU6dOVbt27extUv/973+rf//+Po4S/o4EFd5mKElt3bq1tm3bpl69etlf27Fjh3772996LDAAAAA4d+WVVzo8v/Ta7Oqrr1bPnj29HRICDAkqfMFQkjpt2jTde++96tOnj86fP69Zs2Zp8+bN9vapAAAA8L4HHnjA1yEgwDHUDHzBUJLaqVMnrVmzRmvWrNHNN9+sqKgovffee/TsCwAAYCI7d+7U6tWr7eOkjhgxwt5kC3AVQ83AVwwlqfv371dMTIxSUlI8HQ8AAACqYcWKFXrmmWeUnJysjh07KisrS7///e/14IMPatSoUb4OD36Gar7wJUNJ6l133aWwsDAlJCRo+PDhatGihafjAgAAgAtef/11LVmyRG3btrW/NmTIEE2ZMoUkFS4hQYWvGUpSP/30U23btk1r165VYmKifvOb3yghIUFDhw5VeHi4p2MEAABAFfLz89W6dWuH16666ir9/PPPPooI/ogEFWZgaJxUq9WqPn366Omnn9aOHTs0btw4rV+/XjfeeKOn4wMAAIABnTt31p/+9CedO3dOknT27Fk99dRTio2N9XFk8BckqDALQyWppS5cuKAtW7YoLS1N//73vxUXF+epuAAAAOCCuXPn6uGHH1ZcXJx+9atf6eeff1ZsbKz+8pe/+Do0+AESVJiJoSR169atSk1N1ebNm3X11Vdr6NChmjNnjiIiIjwdHwAAAKpQXFysCxcuaMmSJTp27Ji9d19GYoBRDDUDMzGUpC5cuFDDhg3TqlWr9Otf0w01AACAmVgsFg0fPlxfffWVmjZtSnIKlzDUDMzGUJKalpbm6TgAAABQAzExMcrIyCjXeRLgDNV8YUaVJqmLFy/WfffdJ0l6/vnnK13Agw8+6P6oAAAA4JJu3bopJSVFI0eOVNOmTWWxWOzTbrnlFh9GBrMiQYVZVZqkHj16tML/qysjI0PTpk1Tfn6+QkNDtXDhQrVs2dJhHpvNpscff1zbtm2TxWLRhAkTlJycXOW0l19+WWlpabJarapTp46mTp2qXr161ThmAAAAf/HVV1+pWbNm+vzzzx1et1gsJKkohwQVZlZpkjp37lz7/08++WSNVzR79myNGTNGiYmJWr16tWbNmqWlS5c6zJOamqrDhw9rw4YNys/PV1JSkrp3767mzZs7ndahQwfdfffdCgkJ0YEDB3Tbbbdp+/btuvzyy2scNwAAgJmdO3dOixcvVv369XXNNddo4sSJqlu3rq/DgomRoMLsDI2T2q1btwpf7969u6GVHD9+XPv27VNCQoIkKSEhQfv27VNeXp7DfGlpaUpOTlZQUJDCwsI0YMAArVu3rsppvXr1UkhIiCSpTZs2Ki4uVn5+vqHYAAAA/Nm8efO0ZcsWXXXVVdqwYYMWLlxYreVkZGRo9OjRio+P1+jRo3Xw4MFK5/3hhx/UsWPHaq8LvkOCCn9gqOOkgoKCCl8rKioytJKsrCw1adJEVqtVkmS1WhUZGamsrCyFhYU5zBcdHW1/HhUVZa9q7GzapUp7IHa1V7vw8AYuze9Mbq5Up07Jtnrr0Zvr8rdHyeLzGMz+6K11+POxMEMMZj8WZtg2sz6aIQazP5ohBiOPVqsUEdFQZrJt2zatXLlSkZGRuv322zV27FjNnDnT5eUYqfUmlTTBmj17tgYMGOCO8OFlDDUDf+A0SR0zZowsFosuXryosWPHOkw7evSoYmNjPRqcqz7//HM9//zzevPNN11+7/Hjp1VUVOymSBqqsNAmKUiFhUVeeZTktXX516NVUrFJYjHvozfOH8ni18cikD5jnjoWgbSPvLdvrPL274VZH31//hg7FjabRbm5Z+RMUJDFrTe/q3L27FlFRkZKKrmJf/r0aZeXUVrrbcmSJZJKar3Nnz9feXl5DgUKkvTqq6+qT58+Onv2rM6ePVvzDYDXMNQM/IXTJDU5OVnFxcXau3evQ4N7i8Wi8PBwXX/99YZWEhUVpezsbNlsNlmtVtlsNuXk5CgqKqrcfJmZmerQoYMkx9JTZ9MkKT09XY888ogWLVqkq666ylBcAAAA/s5ms2nnzp0qLi652V5YWOjwXKq6iZbRWm8HDhzQ9u3btXTpUi1atMgDWwNPoZov/InTJHXkyJGSpI4dO9ZozK3w8HDFxMRo7dq1SkxM1Nq1axUTE1PuztzgwYO1YsUKDRo0SPn5+dq4caOWL19e5bQ9e/Zo6tSpeuGFF3TttddWO04AAAB/Ex4erunTp9ufh4aGOjy3WCzatGlTjddTUFCgmTNn6sknn7Qns9VRVSmz2apTO+M3sbZsKWuQRTp4UBG+jsUAv9mv8v9YzRq/oTaprVu31rFjx7Rnzx6dOHHC4c6c0S7N58yZo2nTpmnRokVq1KiRvaF9SkqKpkyZovbt2ysxMVHffPONBg0aJEmaNGmSWrRoIUlOp82dO1fnz5/XrFmz7Ot76qmn1KZNG0OxAQAA+KvNmzfXeBlGar3l5ubq8OHDmjBhgiTp5MmTKi4u1unTpzV//nzD63LWxCoioqFyc0/VbGO8xF9iDevSTtYgi3K/2Cv5Qbz+sl8l/481QrK/5u1mClUxlKRu3LhRjzzyiK688kp99913uvrqq/Xtt9+qc+fOhpPU1q1ba8WKFeVef+211+z/W61Wh6FvLuVs2vvvv28oBgAAAJRnpNZbdHS0du3aZX/+4osv6uzZs3r00Ud9ETIMKK3iq4MH/SJBBUoZGoLmueee04IFC7Rq1SqFhIRo1apVmjdvntq1a+fp+AAAAOAFc+bM0bJlyxQfH69ly5bZCwdSUlK0d+9eH0cHV9EGFf7MUElqZmamhgwZ4vDayJEj1aNHD+6eAQAABAAjtd4uNXnyZE+HhBpgqBn4M0MlqeHh4Tp27JgkqVmzZkpPT9fhw4cNj5MKAAAAwDsYagb+zlCSmpycrC+//FKSdOedd2rcuHFKTEzUrbfe6tHgAAAAABhHNV8EAkPVfUt7cZOkpKQkdevWTefOnavRsDQAAAAA3IcEFYHCUJJaVnR0tLvjAAAAAFBNJKgIJJUmqTfeeKJYZ9oAABoHSURBVKMsFkuVC/j444/dGQ8AAAAAF5CgItBUmqT++c9/9mYcAAAAAFxEgopAVGmS2q1bN2/GAQAAAMBFDDWDQGSod9+LFy/q2WefVf/+/dWlSxdJ0vbt27Vs2TKPBgcAAACgYgw1g0BlKEldsGCB/vvf/+rpp5+2t1P9zW9+o7ffftujwQEAAAAoj2q+CGSGevfduHGjNmzYoHr16ikoqCSvbdKkibKzsz0aHAAAAABHJKgIdIZKUoODg2Wz2Rxey8vLU2hoqEeCAgAAAFAeCSpqA0NJ6uDBg/Xoo4/qyJEjkqScnBzNmzdPw4YN82hwAAAAAEqQoKK2MJSkTp06Vc2aNdOIESN08uRJxcfHKzIyUpMmTfJ0fAAAAECtR4KK2sRQm9S6detqxowZmjFjhvLy8tS4cWN7B0oAAAAAPIuhZlCbGCpJvVRYWJgsFosOHDigKVOmeCImAAAAAP/DUDOobZyWpJ47d05//etfdeDAAV155ZWaPHmyTpw4oT/96U/asWOHkpKSvBUnAAAAUOtQzRe1kdMkdd68edq3b5969uypTz75RP/973/1ww8/KCkpSfPnz1dYWJi34gQAAABqFRJU1FZOk9Rt27Zp9erVCg8P1+23364+ffpo2bJliouL81Z8AAAAQK1DgorazGmb1LNnzyo8PFyS1LRpU9WrV48EFQAAAPAgElTUdk5LUm02m3bu3Kni4mL7a2Wfd+/e3XPRAQAAALUICSpQRZIaHh6u6dOn25+HhoY6PLdYLNq0aZPnogMAAABqEYaaAapIUjdv3uytOAAAAIBajaFmgBIuj5MKAAAAwL2o5gv8giQVAAAA8CESVMCR0+q+AAAAADyLdqiAI0pSAQAAAB+hHSpQHkkqAAAA4ANU8wUqRpIKAAAAeBkJKlA52qQCAAAAXkY7VKBylKQCAAAAXkQ7VMA5klQAAADAS6jmC1SNJBUAAADwAhJUwBiSVAAAAMDDSFAB40hSAQAAAA8iQQVcQ5IKAAAAeAgJKuA6hqABAAAAPIShZgDXUZIKAAAAeABDzQDVQ5IKAAAAuBnVfIHqI0kFAAAA3IgEFagZklQAAADATUhQgZojSQUAAADcgAQVcA+SVAAAAKCGSFAB9/FakpqRkaHRo0crPj5eo0eP1sGDB8vNY7PZNHfuXA0YMEADBw7UihUrDE3bvn27brrpJrVr104LFy70xuYAAAAAdtYjh0lQATfx2jips2fP1pgxY5SYmKjVq1dr1qxZWrp0qcM8qampOnz4sDZs2KD8/HwlJSWpe/fuat68udNpLVq00OOPP67169fr4sWL3tokAACAgJGRkaFp06YpPz9foaGhWrhwoVq2bOkwz8svv6y0tDRZrVbVqVNHU6dOVa9evXwTsIkw1AzgXl4pST1+/Lj27dunhIQESVJCQoL27dunvLw8h/nS0tKUnJysoKAghYWFacCAAVq3bl2V06688kpdc801qlPHazk3AABAQCktUFi/fr3GjBmjWbNmlZunQ4cOeu+997RmzRotWLBAU6dO1fnz530QrXlQzRdwP69kdVlZWWrSpImsVqskyWq1KjIyUllZWQoLC3OYLzo62v48KipKR48erXKaO4SHN3DbsnJzpTp1SrbVW4/eXJe/PUoWn8dg9kdvrcOfj4UZYjD7sTDDtpn10QwxmP3RDDEYebRapYiIhgo0pQUKS5YskVRSoDB//nzl5eU5XKtdWmrapk0bFRcXKz8/X02bNvV6zGZAggp4BkWP/3P8+GkVFRW7aWkNVVhokxSkwsIirzxK8tq6/OvRKqnYJLGY99Eb549k8etjEUifMU8di0DaR97bN1Z5+/fCrI++P3+MHQubzaLc3DNyJijI4tab395gtEDhUqtWrdKvf/3rWpug6n9VoUlQAffzSpIaFRWl7Oxs2Ww2Wa1W2Ww25eTkKCoqqtx8mZmZ6tChgyTH0lNn0wAAAOA9n3/+uZ5//nm9+eabLr+3qgTeL0qq/5egWg8fUoRvIzHML/br/xCrZ1QUq1nj90qSGh4erpiYGK1du1aJiYlau3atYmJiyt2ZGzx4sFasWKFBgwYpPz9fGzdu1PLly6ucBgAAgOozWqAgSenp6XrkkUe0aNEiXXXVVS6vy1nttYiIhsrNPeXyMr2ptIqv9fAh08dayh/2ayli9YyKYo2Q7K+ZrQaI14agmTNnjpYtW6b4+HgtW7ZMc+fOlSSlpKRo7969kqTExEQ1b95cgwYN0qhRozRp0iS1aNGiymm7d+9W7969tWTJEr3zzjvq3bu3tm3b5q1NAwAA8GuXFihIqrRAYc+ePZo6dapeeOEFXXvttb4I1ecYagbwPK+1SW3durXD2KalXnvtNfv/VqvVnryW5WxaXFycPvnkE/cECgAAUAvNmTNH06ZN06JFi9SoUSP72PMpKSmaMmWK2rdvr7lz5+r8+fMOPf8+9dRTatOmja/C9iqGmgG8g46TAAAAYKhA4f333/dmSKZCT76A93itui8AAADgj0hQAe8iSQUAAAAqQYIKeB9JKgAAAFABElTAN0hSAQAAgDJIUAHfIUkFAAAALkGCCvgWvfsCAAAAl7AeOazcnJO+DgOotShJBQAA+P/t3XtQFXXcx/EPlzkkGiEoebQm01GkC4VoFoozEiY4KGQ1mkU1aak1+Uc5eSm16CbajJZRmaP1j2VpRooSXrLR7EZFZQ9lYpQJhHkBvATGOfv84eM+EXC8wOHsnvN+zTjHs7vsfnd/8/t993vOnl3g//AsVMD3KFIBAAAAcZkvYBUUqQAAAAh4FKiAdVCkAgAAIKBRoALWQpEKAACAgEWBClgPRSoAAAACEgUqYE08ggYAAAABiUfNANbEN6kAAAAAAMugSAUAAEDA4XmogHVRpAIAACCg8FtUwNooUgEAABAwKFAB66NIBQAAQECgQAXsgSIVAAAAfo8CFbAPilQAAAD4NQpUwF54TioAAAD8Gs9DBeyFb1IBAADgt3jUDGA/FKkAAADwS1zmC9gTRSoAAAD8DgUqYF8UqQAAAPArFKiAvVGkAgAAwG9QoAL2R5EKAAAAv0CBCvgHHkEDAAAAv8CjZgD/wDepAAAAsD0eNQP4D4pUAAAA2BqX+QL+hSIVAAAAtkWBCvgfilQAAADYEgUq4J8oUgEAAGA7FKiA/6JIBQAAgK1QoAL+jUfQAAAAwFZ41Azg3/gmFQAAALbBo2YA/0eRCgAAAFvgMl8gMFCkAgAAwPIoUIHAQZEKAAAAS6NABQILRSoAAAAsiwIVCDwUqQAAALAkClQgMPEIGgAAAFgSj5oBAhPfpAIAAMByeNQMELg6rEgtLy/X+PHjNWrUKI0fP16//fZbs2VcLpeefvpppaamauTIkVqzZk2b5wEAAMCztp6ntTcu8wUCW4cVqfPnz9fEiRNVVFSkiRMnat68ec2W2bBhg/bv36/Nmzfr3Xff1dKlS3XgwIE2zQMAAIBnbT1Pa08UqAA6pEg9fPiwSktLlZGRIUnKyMhQaWmpjhw50mS5TZs26Y477lBwcLCioqKUmpqqjz76qE3zzlVwcFA7/pN69pRCQjrutSO3ZbdXK8Rg9deO2IbTaY19tfIx6qhXb7WFFfbNqq9WiMHqr1aI4Vxfz+VcwE7a4zztfHg8bsOGSZddppqS/2nnc7P2/3e2fbHSP2Il1pZi1RVXNFvGKoIMwzC8vZEff/xRM2fO1MaNG81po0eP1qJFi3T11Veb08aMGaPnnntO8fHxkqTly5erurpaTz755AXPAwAAQOva4zwNANoTN04CAAAAAFhGhxSpTqdT1dXVcrlckk7/8P7gwYNyOp3NlqusrDTfV1VVqUePHm2aBwAAgNa1x3kaALSnDilSo6OjFRcXp4KCAklSQUGB4uLiFBUV1WS5tLQ0rVmzRm63W0eOHNHWrVs1atSoNs0DAABA69rjPA0A2lOH/CZVkvbt26dZs2aprq5OERERys3NVZ8+ffTAAw9o+vTpuvbaa+VyuZSTk6Ndu3ZJkh544AGNHz9eki54HgAAADxr63kaALSnDitSAQAAAAA4G26cBAAAAACwDIpUAAAAAIBlUKQCAAAAACyDIhUAAAAAYBmhvg7An5SXl2vWrFmqqalRZGSkcnNz1bt3b1+HFTBSUlLkcDgUFhYmSZoxY4aSk5P13Xffad68eWpoaFCvXr20aNEiRUdH+zha/5Kbm6uioiJVVFRow4YN6t+/vyTPfYL+4h2ttUVr/UMSfcQLjh49qscff1z79++Xw+HQFVdcoZycHEVFRXk83rRF+/PUFrGxserfv7+Cg09/Zr9w4ULFxsZKkj7++GMtXLhQLpdLV199tV544QV16tTJl7vi16yeE6x8jmGnHGynHGWncdwvxzkD7SY7O9vIz883DMMw8vPzjezsbB9HFFhGjBhh7Nmzp8k0t9ttpKamGsXFxYZhGEZeXp4xa9YsX4Tn14qLi43KyspmbeCpT9BfvKO1tmipfxgGfcRbjh49anzxxRfm+wULFhizZ8/2eLxpC+9orS0MwzD69+9vHD9+vNnfHD9+3EhKSjLKy8sNwzCMOXPmGEuXLu2QeAOV1XOClc8x7JSD7ZSj7DSO++M4x+W+7eTw4cMqLS1VRkaGJCkjI0OlpaU6cuSIjyMLbLt371ZYWJgGDRokSZowYYI++ugjH0flfwYNGiSn09lkmqc+QX/xnpbawhP6iHdERkZqyJAh5vvrr79elZWVHo83beEdrbWFJzt27NA111xjfrM0YcIEFRYWejPMgGbXnGCVPmunHGynHGWncdwfxzku920nVVVVuvTSSxUSEiJJCgkJUUxMjKqqqhQVFeXj6ALHjBkzZBiGEhMT9eijj6qqqko9e/Y050dFRcntdpuXt8B7PPUJwzDoLz7w3/4RERFBH+kAbrdb77zzjlJSUjweb9rC+/7dFmdkZ2fL5XJp+PDheuSRR+RwOJq1Rc+ePVVVVeWLkAOCXc6h7HSOYcccbOUcZadx3F/GOb5Jhd9YtWqV1q9fr/fff1+GYSgnJ8fXIQGWQf/wnWeeeUbh4eG6++67fR1KwPtvW3zyySdat26dVq1apbKyMuXl5fk4QlgVY6h3Wf342mkc95dxjiK1nTidTlVXV8vlckmSXC6XDh48eF6XNKBtzhxrh8OhiRMn6ttvv5XT6WxyucORI0cUFBTk8084A4GnPkF/6Xgt9Y8z0+kj3pObm6vff/9dS5YsUXBwsMfjTVt413/bQvr/ftGlSxfdcccdrfaLyspKxicvskNOsNs5ht1ysJVzlJ3GcX8a5yhS20l0dLTi4uJUUFAgSSooKFBcXJylLlPxZydPntSxY8ckSYZhaNOmTYqLi9M111yj+vp6ff3115Kk1atXKz093ZehBgxPfYL+0rFa6x+S6CNetHjxYv3444/Ky8uTw+GQ5Pl40xbe01Jb1NbWqr6+XpLU2NiooqIis18kJydr9+7d+u233yTRFt5m9Zxgx3MMO+VgK+coO43j/jbOBRmGYfg6CH+xb98+zZo1S3V1dYqIiFBubq769Onj67ACwh9//KFHHnlELpdLbrdbffv21ZNPPqmYmBh9++23mj9/fpNbgXfr1s3XIfuVZ599Vps3b9ahQ4fUtWtXRUZGauPGjR77BP3FO1pqi9dff73V/iGJPuIFe/fuVUZGhnr37q2LLrpIknTZZZcpLy/P4/GmLdpfa20xefJkzZs3T0FBQWpsbFRCQoLmzJmjzp07S5K2bt2qRYsWye12Ky4uTgsWLFB4eLgvd8WvWTknWP0cw0452E45yk7juD+OcxSpAAAAAADL4HJfAAAAAIBlUKQCAAAAACyDIhUAAAAAYBkUqQAAAAAAy6BIBQAAAABYBkUqgICSnZ2tNWvWeGXdZWVlGjdunPk+JSVFn332mVe25W2nTp1SWlqaDh8+7OtQAABeRF48N+TFjkWRCuC8paSkKD4+XgkJCRo8eLAefPBBVVVVndPfLl26VDNmzLig7RYUFCglJUX/fXJWY2OjbrrpJm3fvv2C1tteXnrpJU2aNMmnMfzX3LlzNWrUKA0YMEDr1q1rNv+tt97S0KFDlZiYqNmzZ+vUqVOSJIfDodtuu03Lly/v6JABwHbIiy0jL+JCUaQCuCCvv/66SkpK9Omnnyo6OlrPPPOM17c5cuRI1dXV6auvvmoyfefOnQoKClJycrLXY2jNwYMH9eWXXyo1NdVnMbRkwIABeuqpp3TVVVc1m7dz50698cYbeuutt/Txxx/rwIEDevnll835Y8aM0QcffGAmaABA68iLTZEX0RYUqQDaJCwsTGlpadq3b58k6YcfflBSUpIaGxvNZYqKipSZmakdO3Zo2bJlKiwsVEJCgsaOHStJOnbsmObMmaNhw4YpOTlZixcvlsvlanFb6enpys/PbzI9Pz9fY8aMUWhoqGprazVlyhTdeOONGjx4sKZMmaI///yzxdj/++n1gQMHFBsba8Z+rnFJ0meffaarrrpKYWFhTabv3r1bo0eP1uDBgzV79mw1NDRI0lnjXLdunW6++WYlJCQoJSVF69evN+etXbtW6enpGjx4sCZNmqSKiooWY5Kku+66SzfddFOzuM4ct9tvv139+vXTJZdcooceekgffPCBOb9Hjx665JJL9N1337W6fgBAU+TF08iLaAuKVABt8vfff2vTpk267rrrJEnx8fGKjIzUrl27zGXWr1+vzMxMDR8+XFOmTFF6erpKSkrMBDNz5kyFhoZq8+bNys/P165du1r9fUxWVpaKiopUX18v6XTC3L59u7KysiRJbrdb48aN0/bt27V9+3aFhYUpJyfngvbtfOLas2ePrrzyymbTN2zYoBUrVmjLli0qLy/Xq6++etY4T548qWeffVbLly9XSUmJVq9erbi4OEnS1q1btWzZMr3yyiv6/PPPlZiYqMcee+yC9m/v3r0aMGCA+T42NlaHDh3S0aNHzWl9+vTRzz//fEHrB4BARF48jbyItqBIBXBBHn74YQ0aNEiJiYnatWtXk9+cZGVlmYm2pqZGn376qTIyMlpcz6FDh7Rjxw7NmTNH4eHhio6O1n333aeNGze2uHxiYqK6deumLVu2SJIKCwvVu3dvM1l17dpVo0aNUqdOndSlSxdNmzZNxcXF571/5xvXsWPH1Llz52bT77rrLjmdTkVGRmratGnm358tzuDgYO3du1f19fWKiYlRv379JEmrV6/Wgw8+qL59+yo0NFRTp07VTz/95PFT49acPHlSXbp0Md9ffPHFkqQTJ06Y0zp37qy6urrzXjcABBryYlPkRbRFqK8DAGBPeXl5SkpKksvl0rZt25Sdna2NGzeqe/fuyszMVHp6uk6cOKHCwkINGjRIMTExLa6nsrJSjY2NGjZsmDnN7XbL6XS2uu3MzEzzUqYPP/xQt956qznv77//1gsvvKCdO3eqtrZW0unk4nK5FBIScs77d75xRURENEliZ/x7+Z49e+rgwYNnjTM8PFyLFy/WypUr9cQTT2jgwIGaOXOm+vbtq8rKSj3//PPKzc0112sYhqqrq9WrV69z3j9JCg8P1/Hjx833Z/7/75OKEydOKCIi4rzWCwCBiLzYFHkRbUGRCqBNQkJCdMstt2jevHn65ptvlJaWpksvvVQJCQnasmWLPvzwQ915553m8kFBQU3+vkePHnI4HPriiy8UGnpuQ1JWVpZeffVVlZSU6Pvvv9eSJUvMeStXrlR5ebnee+89de/eXT/99JOysrKa3flQkjp16mReHiWd/pT4QuOKjY1t9psgSU3u7lhZWWmelJwtzuTkZCUnJ6u+vl5LlizR3Llz9fbbb8vpdGrq1Knm75baol+/ftqzZ49Gjx4tSfr555/VrVs3de3a1Vzm119/1f3339/mbQFAoCAvnkZeRFtwuS+ANjEMQ1u3blVdXZ369u1rTs/MzNSKFSv0yy+/aOTIkeb06OhoVVRUyO12S5JiYmI0dOhQLViwQMePH5fb7db+/fub3anw33r16qWBAwfqscceU1JSkrp3727OO3HihMLCwhQREaGamhq98sorra4nLi5OxcXFqqys1LFjx7Rs2TJz3vnGNXToUJWWlpo3gDjj7bff1p9//qmamhotW7bMTHye4jx06JC2bdumkydPyuFwKDw83Py0e8KECXrjjTe0d+9eSacvpyosLGx1H0+dOqWGhgYZhqHGxkY1NDSYxz4zM1Nr165VWVmZamtr9dprrzX59L26ulq1tbW6/vrrW10/AKAp8uJp5EW0BUUqgAsydepUJSQkaODAgVqyZIkWLFhg/j5EOn1b/IqKCo0cOVLh4eHm9LS0NEnSkCFDzIF/4cKF+ueff8y7/U2fPl1//fWXx+3feuutqqioMG8Mcca9996rhoYG3XjjjRo/frzH2+8PHTpUo0eP1tixYzVu3DiNGDGiyfzziatbt24aMmSItm3b1mR6RkaG7r//fqWmpuryyy/XtGnTzhqn2+3Wm2++qeTkZN1www0qLi7W/PnzzeM6efJkPfrooxo4cKAyMjK0Y8eOVvdx0qRJio+PV0lJiebOnav4+HjzNz7Dhw/X5MmTdc8992jEiBHq1auXpk+fbv7thg0blJWVJYfD0er6AQCnkRebIi+iLYKMlr7rB4B2kJqaqpycHCUlJfk6lA5RVlammTNnau3atc0u37KbU6dOaezYsVq1apWio6N9HQ4A+AXyon2RFzsWRSoArygqKtKLL76ooqIiBQdz0QYAILCRF4Fzx42TALS77OxslZWVaeHChSRiAEDAIy8C54dvUgEAAAAAlsFHOQAAAAAAy6BIBQAAAABYBkUqAAAAAMAyKFIBAAAAAJZBkQoAAAAAsAyKVAAAAACAZfwvBTkY2XSEiWcAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for file in compressed_files:\n",
" create_plots(file)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some observations:\n",
" \n",
" - most of the distributions showed patterns visible in their respective relative frequency histograms or visibly deviated from a uniform distribution. The exception to this was the `deb` file, which looked very similar to the random and encrypted data\n",
" - the most obvious deviation from a uniform distribution was that of the `mp3` file, judging by the CDF of its byte values\n",
"\n",
"Though most distributions clearly deviate from uniform, most are close. In some cases the distribution of byte values in compressed data looks like the distribution expected of bytes in random or encrypted data.\n",
"\n",
"**This is a tiny data set, so firm conclusions should not be drawn. We are merely establishing a baseline for compressed data.**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are now ready to analyze the `HW718V40_20171008.firmware` in order to determine whether it is compressed, enrypted or not.\n",
"\n",
"If we revisit the [entropy scan](https://i.stack.imgur.com/fMYNn.png), we observe that entropy is high from offest ~1000 to ~61000. Outside of that, the data is clearly not compressed or encrpyted. We are interested in the high entropy data, so let us slice it out:"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with open('HW718V40_20171008.firmware', 'rb') as f:\n",
" f.seek(5000)\n",
" mystery_data = f.read(50000)\n",
" \n",
"# plot\n",
"\n",
"grid = plt.GridSpec(1, 3, wspace=0.3, hspace=0.1)\n",
"plt.subplot(grid[0, :2])\n",
"plot_relative_frequency_distribution(mystery_data, 'HW718V40_20171008.firmware')\n",
"plt.subplot(grid[0, 2:])\n",
"plot_cdf(mystery_data, 'HW718V40_20171008.firmware')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When analyzed this way, it is immediately apparent that this data is neither compressed nor encrypted.\n",
"\n",
"For completeness and maximum clarity, we can plot CDFs of the data in `HW718V40_20171008.firmware`, compressed data, and encrypted data on the same plot:"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with open('bash.gpg', 'rb') as f:\n",
" encrypted_data = f.read()\n",
" \n",
"with open('FW_E2500_3.0.05.002_20180914.bin', 'rb') as f:\n",
" compressed_data = f.read()\n",
" \n",
"# high entropy data from HW718V40_20171008.firmware is stored in variable \"mystery_data\"\n",
"\n",
"file_data = [encrypted_data, compressed_data, mystery_data]\n",
"colors = ['red', 'blue', 'green']\n",
"\n",
"for data in file_data:\n",
" ax = sns.distplot(np.array(list(data)), \n",
" bins=256, \n",
" kde=False,\n",
" hist_kws={'histtype':'step', 'cumulative': True, 'linewidth':1, 'alpha':1}, \n",
" kde_kws={'cumulative': True},\n",
" norm_hist=True, \n",
" #color='red'\n",
" );\n",
" \n",
" ax.set(xlabel='Byte Value (base 10)', \n",
" ylabel='Probability', \n",
" title='CDF of Byte Values')\n",
" # control x axis range\n",
" ax.set_xlim(-10, 260)\n",
" #ax.set_ylim(0, 0.10)\n",
"\n",
"sns.set_style(\"whitegrid\")\n",
"plt.rcParams['figure.figsize'] = [9, 8] #lazy\n",
"plt.legend(['bash.gpg', 'FW_E2500_3.0.05.002_20180914.bin', 'HW718V40_20171008.firmware'], loc='upper left')\n",
"plt.plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we can make 2 key observations:\n",
"\n",
"1) that the CDF of byte values in`FW_E2500_3.0.05.002_20180914.bin` is very close to the CDF of the byte values in the byte values in `bash.gpg`, even though we observed earlier that the data in `FW_E2500_3.0.05.002_20180914.bin` is compressed rather than encrypted\n",
"\n",
"2) the CDF of the byte values from the high-entropy region of `HW718V40_20171008.firmware` deviates widely from the others. This large deviation is a clear indication that the data is not compressed or encrypted.\n",
"\n",
"<h2>Conclusion</h2> \n",
"\n",
"`HW718V40_20171008.firmware` is not compressed or encrypted."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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