Files
shamir/cryptographie_visuelle.ipynb
T
2014-11-28 20:29:06 -08:00

2057 lines
1.1 MiB
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{
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"display_name": "IPython (Python 3)",
"language": "python",
"name": "python3"
},
"name": "",
"signature": "sha256:74488e941f5bd2d767422fd943b9ddac9d13b144eaa2904b31df6d997447956c"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"# all the imports\n",
"%pylab inline\n",
"\n",
"from visual_cryptography.visual_cryptography import (ImageLayer,\n",
" produce_image_layer_from_real_image)\n",
"\n",
"\n",
"\n",
"pylab.rcParams['figure.figsize'] = (18.0, 8.0)\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"noir = 1\n",
"blanc = 0\n",
"\n",
"def plot_matrix(data, title=\"\", ax=None):\n",
" if ax is None:\n",
" fig, ax = pylab.subplots()\n",
" ax.imshow(data, cmap=plt.cm.gray, interpolation='nearest')\n",
" if title:\n",
" ax.set_title(title)\n",
" ax.axis('off')\n",
" #pylab.show()\n",
"\n",
"def do_not_show_axis(ax):\n",
" ax.xaxis.set_major_locator(plt.NullLocator())\n",
" ax.yaxis.set_major_locator(plt.NullLocator())\n",
"\n",
"def plot_function(f, xmin=-10, xmax=10, ax=None, title=\"\"):\n",
" if ax is None:\n",
" fig, ax = pylab.subplots()\n",
" X = arange(xmin, xmax, 0.1)\n",
" Y = [f(x) for x in X]\n",
" ax.plot(X, Y)\n",
" if title:\n",
" ax.set_title(title)\n",
"\n",
"def plot_function_in_finite_field(f, xmin=-10, xmax=10, ax=None, title=\"\"):\n",
" if ax is None:\n",
" fig, ax = pylab.subplots()\n",
" X = arange(xmin, xmax, 1)\n",
" Y = [f(x) for x in X]\n",
" ax.plot(X, Y, 'r--', alpha=0.75)\n",
" ax.plot(X, Y, 'bo')\n",
" if title:\n",
" ax.set_title(title)\n",
"\n",
"\n",
"def show_sub_pixel(matrix, ax=None, title=\"\"):\n",
" \"\"\"Draw Hinton diagram for visualizing a weight matrix.\"\"\"\n",
" ax = ax or pylab.gca()\n",
" if title:\n",
" ax.set_title(title)\n",
"\n",
" max_weight = 2**np.ceil(numpy.log(np.abs(matrix).max())/np.log(2))\n",
"\n",
" ax.patch.set_facecolor('white')\n",
" ax.set_aspect('equal', 'box')\n",
" do_not_show_axis(ax)\n",
"\n",
" for (x,y),w in np.ndenumerate(matrix):\n",
" if w == 0:\n",
" color = \"white\"\n",
" else:\n",
" color = \"gray\"\n",
" size = 0.8\n",
" rect = plt.Rectangle([y - size / 2, x - size / 2], size, size,\n",
" facecolor=color, edgecolor=\"black\")\n",
" ax.add_patch(rect)\n",
"\n",
" ax.autoscale_view()\n",
" ax.invert_yaxis()\n",
" #pylab.show()\n",
"\n",
"def show_text(text, ax=None):\n",
" ax = ax or pylab.gca()\n",
" ax.xaxis.set_major_locator(plt.NullLocator())\n",
" ax.yaxis.set_major_locator(plt.NullLocator())\n",
" ax.text(0.5, 0.5,text , color='black',\n",
" fontsize=40,\n",
" #fontname='Courier',\n",
" horizontalalignment='center',\n",
" verticalalignment='center',\n",
" )\n",
" ax.axis('off')\n",
" \n",
"def plot_tuple_of_pixels(pixel_1, pixel_2, axs):\n",
" show_text(\"(\", axs[0])\n",
" show_sub_pixel(pixel_1, ax=axs[1])\n",
" show_text(\",\", axs[2])\n",
" show_sub_pixel(pixel_2, ax=axs[3])\n",
" show_text(\")\", axs[4])\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# presentation overview\n",
"\n",
"### [1] Visual cryptography\n",
"\n",
"Encrypting information in a 100% visual way.\n",
"\n",
"### [2] Sharing a secret\n",
"\n",
"Sharing a secret between $n$ persons such that any subset of\n",
"size $k$ can recover it.\n",
"\n",
"### [3] Password alternative\n",
"\n",
"Using a zero knowledge proof to authenticate ourself to a third\n",
"party.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# [1] Visual cryptography\n",
"\n",
"## objectives\n",
"\n",
"Let's present the [Shamir and Naor](http://goo.gl/bxMw33) ideas to encrypt a message\n",
"in a *secure* way such that the decrypting does not require any computers or calculations."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Idea\n",
"\n",
"The big idea is to encrypt an **image** on two separate transparents.\n",
"When the two transparents are stack togheter, the original image\n",
"can be recover."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# First transparent"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"img = produce_image_layer_from_real_image(\"image.png\")\n",
"shares = img.produce_two_shares_from_image()\n",
"plot_matrix(shares[0], title='first transparent')\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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Hnadmm89KVI409JmGQ8NCel1ClRgIQyo+Srz6mGIz11wsXNNsinjaSXHQd+R/\na16XnzTw788NWZEvtIeEsJMfd1yV6J3Pzk7S4fxsBE/xakPKxTWJq2nFscHa1u51zYc+O06431Hf\nz77SOCR/aIDOd/Sse1z/kF7iCzqn9U68msTpV110mXF8nmwnfiRcDpuebbxN80jtJHmpn6Td4HM3\nRi32NNyIOPSMG3rpRuUwODInW634p7iCUr3UeO7cXHPnHJaENxFza3zVtyX8NNTpvPMh1ZyLh/pM\ndZPIvYnznQhKCVPtUY04W/NMwuOGixPKn34mvC4Xm706hBpxzzMtB6SP6lfXyVeqPdW7rUnXW6mP\n3bB+Bhf52XzUmqJaTDmmvbSmGIgb1C/1mbik5ST11Rdi2TZ8lXJd19fApGHZCjgRqiNpfa/P9H0K\n4VXbCWfzzREmNcNWn/PjGaJI8VeddJ5iRvoJJ51LuZv7U3O0mnI63LmWP8Xo/G/ndY/iVUz6rHZT\nTtVme+/0O/8TKW9zu/Vh01fp/SafjVNcTTY+aPzUerf1c7PpfG08oudSzlqfEpZNDTTOcuJqjzDQ\nPlMXtoFe6tfdm2C6MynIrVHv966IyP48M8/N87M45z7XCJuhON+rreSb7p34N35OITvqVyIowj51\n6PsZP9I7P+ee+Xzr1Fw1HRoLip3Gw+ViYlC9RJabC4jD4vJO+ikOVKuuVhyRUm9QHtJFh/pq6p44\nN5eFZ7iE4qJ79RxxCeXKnSGfnV+zVmdtUm/rOfKR9KutNswaBym+dIHYft9yPeWHOFrPEyfNPc4H\n52fSR/Kyv+6+v9+iAXRNovrmWSr6aVNvX2pfz29vUapX9ypWJU9nRyUVfSLFRFxUXBSbhIfOtnhM\nbJSjuZeGvsPoGk0/W8wplq7GHFY3nFVSvqhGXQ0kf5J/lKd0YZjv9Sz1miNTp5fqgnruGZ1Ttr46\nnYqJajfliHCknnO8p/habTqb5KMb2orf8Yvrc6d7wzkOp+P9Jm64ur2EU98n7nPyUkP6Fgo0racz\nt8yAtMHXho1bS++dzVaEjjjcOmGYfrvYOJ2bQZcGWSJPp1/fb8SRh9u7JbtG3O4MDcpUO43EyUeH\nkfTTXkfc5K/miwgmkXAj+BYLJUbqpzRYUn42deZ6WH3TMy42rp/aBaDtb+J4Mfnb+Mr57Xqe/He1\n7/Lj7LrBR5cBxZFinOo8cY9i0b2OS0le6tfdt5Bz5PT804iCdN/fpw1q/qSfSMYNrZaQRnyOJCZu\nKiT6Q372vihgAAAgAElEQVSkGNK5pqOR6cZ2GpyKj2w0AnOk4eLs8Dtcbt1dYtwZJe4ZN41BGvBK\nZlrDFE/SO/WrPbdf37XLhPqva+6iQTXg/NRzROJkc/owdU/9iQsIt8ZAezphd/XZBhPxF+2Zeqkf\nNEaOC6YOFVeDyiNpcOsZWp8YHNerj6TPXQAan2ksmrzcXxxzeLQA6bsSEBUiBdbdAF0Skm6XvIaf\n9Lo4uPN0mUjkm3QmUXsa840/LeYtPvMs4fkU7NOGs0m+pHOtFhUHfTo/Ut0Rrpb7NjycpBy3/kq1\nM3WTpLy1Wna+uu/Jtsun0+Pire+fwdWGcvN76yv5TOvkT6q7DZeoHdf3G37a1MozvpGfjmNM7mzB\nvtxP0nrTmLcoDRrd1vR92qvv3dkNYdI+Kh5X8G4o6b75eeubMXLimrLZvdfaBWWjY56d511cyId7\nr8aZ9kw7qU5cXl1caX9qYIo9xZXW3b65pr2i+De+aR3N70mPwzJ1zueZC9eDri4pj4SN9GocNS8u\nT4pBhXrBDQvn6zOXjTR4SYerXceHG+55pmedHqp7N2ynXcc9GjOqbbXnnhNfuB5Og197ifxO8lI/\nSZ/z2X8WdHM7mc8uAe4mM8U1FJ13yUq3s3aTSrev+V6fFbPzIeFL51WoeVwzbWLhzpLNps89bz4p\nHw6LSsqrYnLi6sPVddKX/CF8Tvd2gJDOjc8Oc8vhtJf2ku8JL0kahi5O2zOu/7d6U587cXnc8J/u\nbz6pvWfqKnGM61PH8SluU2fjs+ST818lDe+P52+Mn6RTsd8ybyXpBqQ69BYzE9IaTJM/bWwGMGHY\nFFQaQs6+85d0JPwa24lJ1wk/xWKuO5sUcyIL3UfNtiWtqUtjorFWzOqjI33yLw2RzTAhjPqO1trw\ncsSo2GYuKD+pf6iWNLcbXMkn9Y9qZ+ZV+9PVQOoD9zxxEE+lvtNnxymKe67d+9Ilh3A6viJbGlfd\nS89kc/pI/Ex5c2sJE8VB8ZCfxA/Op8StVEsYl7bhKxb8SZpEb1DtRkTnv2a0DIRn9qr+jS/Onykb\nIna20s3R6SAsrllSAzhfCU8SlwN652K0rQ+Xd1dzLVeb+GwuFCnWyY7aSjYp366/kv5NjD615iYG\n14/6vT03exqzDfm2+iD7bl/z+dn6SbW3idm9L/VKwkL4N/zp9js/Uq+nvDSfk86WT/PuG+MnaSfT\nqfu25ALhbifzlnVLGw7zvd7o9PY2nxs5Tx1zv36moiGZvqtuOp+azsVH1+Ze1b1pVNdoFEuX1/l+\nM4DnM8WJfHRkRM/qd8qb4k351Vjrd639ZFPjlmxRXab+emZAO3xUm7Ouyb80wKdufU4ETNidXfLP\n9VPqS2d/c0lKWHSNONFhItuaZ7KdepbqxWF39aS6VBzu1ispLhtRvRRLF58v2GwbvmJ5aOLPyb96\ncTc4OttuPq5Qpp10i3O49Xzbnwqu6XR7nf4WM9WVPpu+FHuNtzu3rQWKi7PlzqWzTYeTT41dqy8n\nDX/y1+lJNhRX8k11bPxM+de9pJt83/a20/XMOYfRxaHtUfsNx8YfjctcmzrmWqqz1KNOB/m8weHO\nOe6cOl1cns39M70y9H7j/CS9HX4aKCqOecu63+tZ2qe3m5RcfT/xTZtqi3BRHObnxEl+pzP6XeM8\ncageWnOfLjbOR9XtcqY6FZ/GRO3Pc/Odi93ESL4Rscx9pI8aedac6iG8lCfSSboJm6sr12Mk1H+p\nRtWe+qexcuKw398pt9rfM0ZKwtTH1FMqqd/1mWw5XROv45HUh+TDtmbJb6rF1IeOexynEl+7XtQ4\nzrhQbtOcoTpQrNqzGl/FQn66nH8hFptm+ArlcU7+CVTXnJM0nNJthwplnnUY2pm5Ns86TM7v1ojU\nvOp7G5KpkB0eFw+1m+rM2d36+owNPe/WWn6T3/Tu2bg5XW7gtX7ZYKYYPBML5zNhSHt1f+oFwtNI\nXW0krqAao7ohv1ItuNpoPrTcN1yJh1w/tTpo/mwxbvKhehsWwvNsvLd12GZJwvoIP0m/1JC+xv8F\n65yd05skz/fuTMEV36fG1u/by4Ij4/R9U+DkcyqyLzOQnO5nBrJiThcctZ30JkKafmwHYtKR8CnG\nDQlvhpN7nwg16W6xIZ/ULkmqz82wbFjTxcDpS0Pxmb7c6Cds7tJE+1tdks8T29SzwZHiQ75s/U0X\nBvLBDX3nZ4pl4tLtpWcTG+fjxx7bvC/36+5zPv+rlPnd7bn/pAE9v9/7b7mfaU3tT51UHG3YbG5t\n0xb5sLGhflEhzrjN/eqri8VG95R22aH3LrZkZ8Z2rhMWrTGNhSPciSkRZ7rc6JojQNIx9c8/2iuk\nZ9YO1dY8r88bItd1V0dUe3Od9jpiVT9bjbncaB80jmg8oP5rjT7TC6mW0kXFYXG86NbSBcPxEOUr\n+Z0GqfblXKc9yYcUf7XtLguNNyceVxvEE05e+n+wMZ+JVNsQa8Oskad+3wSUbkpEHo7k0h61QfZc\nkd+fzzZZusCkQUNFTLIZeM9cJJL/9N0RVMoPNVnKuyOcDc4vo9/tUXvJR/de9zjdhIH0pTqYevQ8\n6dD997uEg+LsfNEz6meymfqW8uZ8ologuyppeFDcVB9xDenZXgTceV3f1LmzQ3pJh+5r/DVjuak9\n8u0bbkg7YtgM2nRr0vf63dlMw2Wem9+dnS0W0uUKi0gnXVCoqOn7pzTcNlYOa8q7IzKyrc3dmsgN\nJtpD9UGElvxUDC1PmxpLF4hUR4qT9NOlwJ1rddP8bz1PQ81dWFz/tpra9n66AKQYOV1UdyTtMpMu\nUjQUHWe0IZzwkx9uULUeoHw4veS705+wKkb1UWueakh9c3nbYHupfyZ9jv+PmbSATUnE+zljC6J1\nxZcac1vQVHyNHJzOiTv5l+Ka9DkC3eBPOdzkr511udC9iYzUfiIJxeawKwY943Alwm6kNNdb/dJa\ni5ez2+og5SrVG8XK2Sb/yWbDoXZJNj3XBtHEQX5u624zcN25FCNd39pPtjYXgsY/hKMNxmfz68T5\nrnuSbeOvBfJS/0x6OkMFpkm9Hb33uJvN1Dn/qB06r0lpZDWfyR7hU4xkV3Vq3BzuVtxbu9RA06Zr\nZEc02qTzz/SV/NeiT9iTNAJ264RN9VFcKBezdsmnNux0TW2l/FIvpCFBuhMxa6+Qr+482U24KXbT\nlupzWF0tur0aD8LpLoLOR6oFNxxo2NE+tdvi4tYdn7gYuN6fnzTUpm7dq3xKMXI9pnFI+F1/tJ51\n32fc3R6Sl/t19zlfTF66Vd7yzI1zvqcC1P2KyzUv7XF49KIx1/T5/k6kQPvUxtzbfCM95KsWbBuU\n2nhKUnqWmpYwuwbXRnCNlfSk+knxS6ROuNJA1ji5fFLstvXiBn8iFJdndylw8Urxa32W8uPwOy6h\nfky5IrvpYjFtEM6Nf7Tf1Xniy02tb+p0e0Fw/jq+d3w27bSeJ383Na3608xJ+XHv2nmSl/tJWr8n\nwru/twGhZ53decucTatY3NBONh2JuoSSnk1DkA3VQ4U6dW/0q3+6d0sk848b2nMP6d/g0OHTas0N\nm3uvO5vIUWPgSFttqP/zvfqTbOuedEFwZJnqytl3ush3qo9NHskuEfis/1Z3ipf8pz7SXDldpCed\n2wzL6VPDonqJB4nz0gCiWKbLj8uP6iV7NKwpFvO9xmb6qjFx9jd16/rQcU+Sl/xJ2hGuI/u5Z37q\nPtdYW7JUHUS01Ej63JKomAlvGmiJfJ1NjctmuLt3jvhcXkhPIkp3odg0vMvXPO8In7Bu86jk6WJA\nPqeh5nJC5Etnmj6qDbWR8pZwT72u3t3lgfzWuiDcrh+TaP9NH5wfzW/nexPy3Q2NqbPVDg05qp02\njHRN85X6dUriVeqpto/qi3i/4Zi4Uy6dfRezJC/1F8eu63pQQlMhuIS7ZLSmTXbcIJ663PkkbrAn\nAphnVZqfbr+L4aYpW+M1X1yuEqZNrhPp63ojspRzt8fZI7tuODqfWj06nNsB1jCT/imb+Cc77ozz\nx+lsdU17m62WM7LT6mmTz+RrqjXHc9t4qTzLu2ovDeDGBS5GjTM0hs2/DUfN9Smb2hJcdlC83JDW\ntZRM2gs6URed2QzzDanqmY1u5/d2KLTLhjub7DZyapeS1qDPkpVrSorDdog7my7GLqZOGt4proZI\nl57b5OsZO61OnyFwwt56jLCketvWEp11OgmD09l8eaaPk93NsEk5n7odzo3epN9xCMkmTgkT+aRn\nk67Gp00H2U+cEC4d9tBL/TPpc/7YrzDuZ2rmuU/33n9o761Lz+qZNMw1yLpP19rAdFgVx623Ncb0\nUddVp8Y1+a3PGkuKk4ub4lc/ydZ8nv5Mn+ca1QztczaJGCmmzX/S73DMOtV8qz6qs3neicZca6jZ\n0T265uynAev6xdlRe2TT5dRxCe2duly/q02XN5drEkf2br3VL73THnID2eltkvalHN/v1bbjA3eO\nzlDNpJ7RvDvOJt8aN7bLy5SXGtIJsAZyM3iIxEiHDuypxxFVwk4DyV0itHAIO+lX0Uab/rph7Ipt\nM6zJ1sTtLivuYkF2tIloWOrg00FH9t3FgQa++uIuG4qT4k71Ov1xBO9sqU797uxrHCamNBhcDROh\npn5M9UnDjQZ6uqhsLgQax+mb4k/9oO+pD9xATkPd7aU9Gqv0jmov1ZnD0Tgk8SVdEnRf43HCTb2f\n+JxyRXFrsaIYT1vkx4xDk5f/dfc5eSilQXPvu7+3ZzrbBtbc1+w1Pxx5t33k+8bvqdvZS/bdZ8Lv\nfHc+tNg5n51sctIwk29zTeuB4pNqgXA6H9vlYUrSrXue8WNjN9VT2pdilGyRPoednlW/00XPSZ/u\nSTbcu1bDGw5yzw7jM2dUvgyHNjxkZ8PpGx/VxoaTpo7Gb3oMlZ0X+0n6lnlTohsN3XxU5m1Jbz0U\nYN3nkpFuSfrdFfH8dDZcAdzr85P802fVceOlotWzW9wz3ilvDiud2+Ta5cfZnLGbcXA4nT2K14xN\n00NCdeuIkeqbfHV46Zn8nPbcPo2j2qbz9D3Z3Ox32FXHhhPI1vSxYdvYdljm981+7c3pkw4MV6P6\nnXjCnZnxSwM41YOTVHfzj8ZA45UuCi5/rX8Sd7h4pDojeckhPRPfSH5+zvVU3ErSql9vQK6QdVDq\n91S4hCMNJkf8jnToOd3oWrxouLlLgBvmrTiTL5oPvYg4EqFzLr6EWfe6IdIIQOtBcbQBpUREewiP\nko36Rflx8WqXBSeUKxXnn8aHsE8dCUPq+23sqcen7TaoNNfEcZSHqZNqzXGJ6tHeIt5SLC7v5Cfh\nI9nEXPcpNuKDhGnmLA3+NHMcXurD1D8OO8lLDek07G6hZt0GIQUkJc3hS+ecbpfMNgSJGNVn1Uf7\n3FkaNm6QEKbN7bANx7kvNSnVyQZPI1LFqWc1HhMH1UbCtokX2XQ+uWfqk3Q5cETs7Kgt9bkNhuQz\nDQk37CjOmiutu3Z50HM6qEkXDXeKmRvuSQi/DgKSNmiJnza90Qbjhi81z5TfhI/qy3Hq1n/d6zBP\nva73nDyT95ca0m1Q0uDRApxnXCBdcU19rtkcOTj8pIewOZ9vHfRdycWR3yz+NLyeWafmUxLTptN9\n9/cp+p0I1A2ujb1EPhRHPetqqRGmIxvNJdnUfQ27I9Kpz/WO+67n1ZYbeOmyQPYSibrLgsuF2+fi\nQfFxRD2xPluzxDGq1/W86zPirKmL8tMGntqm2LlLyzyr74hz1Z7aVlsOE2FPtUDY3YDXNc0H1bDz\nd3O5+poPG0e/QnloMblCIBJx+10TpcTr8xeAGv2kOyVi24gpFikuLU6Em3RuY5WwUkxdfFLsyR9a\n3+B09rbx2OylPds8Jv2bOk++JnuEXZ8VX7LtfE12da3Vm+pt3KGifpI+Ov/1ik/rXccriXNSXbe4\nufg4f13+Egclv8gu6Xf6VFovbmNIviV/l/m1Q+Kl/rOgKtOxRuR6Y0n75totLmkNl+pzDfApFwJX\nHK4I1C9HOBsyasS6JV2HtV0i1E4r/GmvNUeKTdqn2DW/5D99JuyEQd/rXldrJJuYqZ3N8G+E6+q9\nESbhbLFS2QyETT2rPfKD9LtcqD+pnymOitvVUzpDeFy/pL53Ohp3OTwakzYQyc80lN0Z55Ni1T5R\nXFv7jWvPecFfd7sgEDlq4bSGm2e0odTmtDslDehpg+y299TwdAHRQmw+zDUiYbWvsXLvKSYTH51p\nQ3Hqc0NeY0VE5oaDiynlR3W7Jldb5GMi63aRUN2J0InUHEm3Ya46nbjh4M4nEk/61QcaIlTbblhS\nbdE7qi+1O/d+qv/EK8SB5AtxkevnVIu03/nm7FPs2iVo9nuqD7WzubC0oUw14zCnGaP847ij9ZPK\nSw3pc3xS3J5ZtG0v6d0QPjVZGgzaTLQ/JZAGNgnt13eKxzVNsuPea7OnBnBDbjv4516XI/WX7Ol5\nHbKk39kkH2bON7WsJJNiQ/oSEdOgTpccxZEuOhOP85XqKdWYI+p5TgcNxUz7jur+2aGWfGqytU9+\nki63Nn1X3BuME2viiaRTOYDqjmqezsz3DoPjfccF01cSqnM6r/W1rYt2uSB5yV93qyPP3N60MN0A\ndKRFusmGK6LtkKXh5kgpxYESTnpIXMympEGxxZV83cRP8aTh55ogxTH5mC4X+s7ViNac2nVEs8kd\nYdH4qiTsLlakj3LhapmINV1m6HKhMWt+ES7yJQ371r/P9FvClWpM91IunN/0Lg2F6XcbbJTTjW76\n7uLW6oD2tvynHkz85vqVBrv6lGZCyt05L/aT9LyZaBCeuRG5Ww8Rin5PA5MGv7PfBsH0xRHBfOdI\ngXA4YnZFqO8SCVAjqh8udm5AK0lRXFQv4VNJhEd+kA233i5HitORjfqRvrsh9OyQnfsSOabLksYg\nXQZUJ+2be+415QPtA8LjfJ7fyVYiSq0VGqqO3Am7+ni/a4NKMaketa9+EQfoGdXtfFN824GrHKLY\nCLfTpXtdXpwu4iqtu7lGuhJnTr+o35J/U17qJ+l2gyMCcuRDReeIKQ1VIjwqfsKq5+e67lccyT7h\nVJ2OrBM257+zk4rM4VJM2wFF/iV895prUhfnRNzuouRqYVNnbaASNhef7TBPMSafHQHTZaPlT89t\nyTgNaup9Nyhov+pSXKSr1camDja80Hq17aU+SfklXbqmdjQPpEefdY/rp7Q35cD1u8NG+xzvu5nU\nhvBmJpC81JCe4gjxfqcFQ+/meUfAqQFdMN17wq5rip32Tt0ume7CoXoTFjfonH2nT8+SpFirjuYT\nPbfh4TC0QZoGfHqf8KqeRJCbS0uqxc05R+qUf9LXSJ5iSvs2PrmB7IZcGmKOXDVOyf80nJ1Q3hNv\nze9NNsOi1crco/64fG4uJ+pz4mnXL4TJ2aAYJjxJj2Km3NBccXNMY5Xy8VJD2gW/JU733etE1tTA\nbVDTWd0792xucWpjk3Dy49mhmDC4AnM26f0Wt9OTbD1zIVKycKTuhnYifsXYGs5dOnTPpq7TuxQz\nquNEoime6RJHfrZanXudH4Sz1Zr65HKzuWSRuJp0dU64yV7SrfrSZYV0uZpVXfMs+TDX0kUiDUqN\n0WbQU1y3vU1rxPHkh6uv2Qd0xs0uVx8kLzWknwkgJWjq2ZKDIx99r3g2BbAdNG2vaxAt4jYotaDI\nxrZ40hCZthJBNDJuhOri0shP99/fW/6Sf26ItjMuRm1IEma3R0kkkX/LzYbIku02THXwb3qoDb40\nwHSvk8Q9FCc6q36neiYdumfDa4RpM5jUR8pNwuZ8aHtaHhonuDXybzvw3cUlfde4EQ9v4nHOi/3F\nsXOYZOe7W9R5F6j5nexMotsM4ImPCmHT7E0vndGhqgXWimlbEOQXrSteh0Htp+aZcU1Eref0neZ0\n4kpxdhgSCW1iMp8dLj2Thq+SJsVKB/imttMFreVXzygO0jf3JZ1EctM/4gHtUe31qZt8dxcGFxcX\ni1RvxBXusuf4KvVb4wzy1+GkQag6m96JI+FWPXSWeJvszzMJl/blxDPj7vx1c8rNA9Wb5KV+kj7H\n/4Smw8zdUigx6TaTCpwKMw1hIoiUACpad/lwJDNxkW7FvcHvZPNefXffCdN2MG6wbf0kom94niWY\n6e/Ep+9ocBPJzedEkomINmuUuy3hE6bNsN5iSZKIftMr7qyzc793saeeTjWS6pZi6QaxSuKQjX/t\nvRtwzod5br5rdp3fmrtn6rDtIX5IZ5Pu7XC+5aX+293XdSGYRuzNWdeEKdC6n7CkNVp3ftDZZiud\nIb2peVwcXcFusCZfVQ+RsWLa4EtxTfjTwCT/U8xInB9tOCQyIWmkSKTqsD7TM3qecCU7bbAoBvXL\nfVfMLa8ND2F+pl5Jz8Z26pvk/+acvks4KY4bHiSsbX3aId2OD9zFwdXArXPDdZu8075NDz4eD9sE\nL/eTtIoj+O2++8bibkX397aXbnzzzNQ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emxpI8Rl7rBMv9ZM03Yz0NpNuH/Se9qcBd+tw\n+yceOjvPNwLRBCt+KqipeyZaY0bYNA4O18TibLv9c336lexNjNt83Vjc4FJ98x01rHs3z+o7argZ\nH61bjQPtS/b0HNWp5sp9dzEjG4pLbU3/NN/aD1QPqZ/IluJyNaP21HYiXMKV4qTfae8mj6mmk+6E\ny2FUzlC7yjNurQlxBHGGYqJ1x/FU542PlK/TbLmF6tv5QrOLctFi+VJD+hYdEK2ZNMiumTYFl0hd\npdmb2NKZRJw0LKlQNyTjhIrHYaKYUIFrAzhxewiPawJqTJc7HaTU4G4gu1i7OnAXJ8JMdecIUWOc\n/pAeR4BzL8V746eLk8a7xZJ8VNFcTmm1R5ySaob8px52OXf63AB2NrT3dQC6WCmf0EBqA8MN83Qh\ncWfcWfU7cT9dRNLlJIkO7rlOMVdslJsp873rBSffd+3FVyCJ/IhASaiA0pojFCJzN1h1H+EnW+3C\nMPE6X5zf9F4HPhV9Ki4S55sSUIpX008xbT63AeP8bHtTvaSBqr66GlB9jpScDXeW9tEZJxuCdPXt\nbNGAob5L9mkYPION/En7Wj6UW9xwJF9Jh9pM+9RPV8+bukoxapcZ6m1Xl+4dDevGp9NvNy/IjvOH\nYqG6XJ5cjN0lInHZy/4kPf+0AalrUxIRuiJ0Q/f+rsnXc2nYOf1kTwvUka/zpRG9+rElr4Q3xcDl\ngc66fcnvlFNqXrKf7E151jd91y4Rinvimzg39Uw1oASjw4XW73fOB6ojlzfdr+IwpLykQU8DheKp\nsaE4KQ4aiLqXhojjACdueLdcbnqnDW21p3YbdsLlOHITH+IZN5yJP7Wn1C/Kp9bL7E2NqevvFE8n\nL/WT9DlfvMFqw9PgSYU496Q1ClRqcpU0EInMyC96dnqIVB0ZJ//0vSsmInbSpWsUC4dnvicdzs48\ne+9xNZKITu01Akpn6f3ET0Sa8knk5bClNRpIbt8m1rrPxT3FMhGbu0SRkO5NP6QLGhH4/HQ9T/5o\n3jSXjiecb8/q0CFFn2Rry7nt0uHqWp9p2KVadP6md2Sn+Z3eE6dTLGhP8+2lfpKmYLgbjTqq+/UM\nETSdSwVPAXfDLzX+/T0NxNQUjqR1mLaioSKchetiS+RA+ycO9cHtcbGls4Rr+q84XX0RKZA+wjv3\n0tmUs0SUilfzOd9TnHV/GkCKS+vGXQ7oXapZza3zVfeTpHgkgk996OpA46M4NE6uPiZuJ+q3coHj\nhoRRzznucQOLhon2hbNF+pMfrg9JXN5cTWg9pjp0fJNwuSHueqPVwi0vNaRv2RJ0KlZ9ryRGe54Z\nPmldz7Vkz2RScdPwbVimP0raqXk2PlMh05Boft/60qBseilWJKSf8pzIZ+5zOhU31dzc4y4+7tPh\nmDrVF7K50evOznd0MZnfKQY0sCkGTj/1Cn1X3K5uSdowJz9Ih6u5VBfTnqsruhxRLOc5xU6+6X4n\nLs6udxS3G3ZpaKe6TEL6tQ/c/vt7yl+6nCn3qi8beckhfU5u8PRdz7eBO/e6906o0NIwdfsJf/Lh\n3q82VXcrXt2Til8LjEjw3qcEMJ8duai0QTLt0uXDkZQOfLLf4ufqioZGusi5S4kjPrp0EYZ5bhsP\nh1MJRvW1C9P2skA4nX5HfBqjdgEivykGim9+Jh/de71oqK2JX+tbdc21+a4NAjc0XLyn/26vrru4\nuwuC4wfF04ao63WK09SncdazhMHVUrKn7xtPv9w/k3aBcoPqFkqOK2y1o3sdOVBzTDIkHXTW+ZtI\niQaji99tL8XVDSbVvY1p0kcFnobVpnAdwWwGk/rhyFjxUK6SjkQC047qcQPGxcf1h6vPpo+GRxuc\nDstmP0nq/1TbpNuRvrPvhlY6R33nao++a6703dyj64p57tVcbmOX4jltEy/QutpqfE7DMNlX7BQH\n0r3l3ISNuKC9I7538nJD+pyezGcTvbFDw0YbNQ0Ah1HXFBsVYfOL9G+ahLDQEG7xdUMnFf1WqMF0\nvQ3bNoAa3i+bW1pPBEO1l96RvWfqww3tW4+7TMz3KolwNgOJ6pZ8cT3i3hMuR6TzuZE32XZDs9WU\nI3jSQ7Fy8XA2t3XhPhVLwuVkw+2Jyxu/pRni+k/tb31JPJn4Z63/WRL94yyPRvTp5uHIZXPDUT3z\nrNp2hOmK1Q3OzS1qYtVn8mNDfI7IHL4U16lHY9OGX7qMJMJPsZjSyJh80XONDBphNpJtxJ70EJZG\nuM6Xja+qT7Gli4Qj/Smf6v9mqDhfCe82NqmvG550iVAM2958pr/I59QHirVxSMK9qZ/W440ftudS\nXW5rqekhDBA/Owxe9p9J3zJvJPf3+c4V1QzQDArdYhwhzUC64mzNlvQ6HA7XXHdNq58Tv54j3OSD\n06Vx1r2EP8Vo6pxYHe75jmJA52lv0t2wuxrU7+qb2kskrt9n3O9nN9CmbPM8bagtR9QaU/WN4pqG\nup7d9hYJ4aK61TyleBFpp35Ng37WcPMj1bFiTUOFetcNT3rnatl9brhW4+7wED84Gy6utD7z5OaK\ni50K1b+rqZb3lxrS6Zaje4gs0sBxREN2laBUv+qiZqQCU1tU4FRoKQaKozUD4Z5CA0PfO6zORxpQ\nTlxBT10aizakaKiRjqTXkbu+c0NMY5GIuQ0zfefIidY2w5nsON+mjlQPqRebpGEzcSfSTX6RTodB\ndTZu2gx3fUd1k/S2OnGDXc+0np81S7Xs7LqhRngIM31qrKke9VO5mS4ahNn1jfqQhryTpPtr5zdN\n8lXJdV2PNIzuNWqwe19rnM3wdPu/bODdENvYoUJIwyA1op5pRLPVkeKrZzUuLV5pQCRcG0kYN3FP\nGBqONOy251MdJB0O/2a4OWk5ULyuF5/t+YbP1TmJ89vVN8XM5cX1jHuf4uHi0i4lX5ZrNry85Y/E\nB+kC0fBrTD4Vb4qj0006Xd2M77YgX+ovjrkm2pDkvBW1BnOFPYVsTrtO59SbGlJxUrE6f2h/86s1\nseJOMafzqSEd2SSsKR+pDibmDSlvyc41XbKRbM73WhfuLNkkrIRhOwCdDeoBteNiQTrds/qieUzE\n6vA4fybOTc3qp8NPejc9TFiTn60OiGNcrySfqT/cZaLhdv3z7JBPFxG3Jw124jviebXVuL/F29Xv\nlJca0qmxidDm99QMt775SfpcotxA3JDmZlCnYnJ+b4hB8br4JFJuhd4uF26YpthshxE1znaAO8z0\nrmEmbGnvszlQP9KFwdWAs+vsPetDG6RpQFM+n+1n54uruak7DRkXC/KVdDofXKxbP5FvLheJD5L+\nJG7AJdsUG8ct26HmLg6NRx1u1Zm4QmXaabycetzJS/0z6XPyr4bu99eV/0s/bj01SyIhR0DUyJtC\nd8S+8WPiTER5v9+Qqq674tazVHyNbBQTNWUiPNWlzyme1Nh6TjGqf+6sxm3TfC4HLnaKxV1iVAfl\nNA0TJUXnb6pNXVMbVJfP9oHrN8rfMwPaXTJcTVBvbfERaeu6rrlB1C4Gup+GkNYuDTLytw2nNPBc\nLMm2YnTDeuomnmnP83vqh01tU0yTXZWX+km63RB13y00xGlvu3kSBmfXDSXa84w/rqiIeKb9RkCp\nKdMlhUiq2XSk5XQ5e07Ur/vZER81GMVpM/QIG5FJIn9ad0PLvdM4uXrZXBbUX9Kb6kPfExaHsQ36\nRMD3utqmmpj76buecXFrBKzS+ER1pgsF6aO+TPsJW7Ktvm98Jd3Oj6Y78WDiARqoqs9hT7rbDGmz\nR/3VZ5KX+4tj53Sih3Onnbuf6aw2RCIeKlC3pw1y14iEe7M/2XbvyBcXG4oJxZ50OF8SsZAu2qN6\nm/7ks/N9MzTIRzd0nI1tM7u4kbS4Jd8dcTk/XWxIf6ohPZ/8fXY4OR9TX0x5ptfIL3cm4Usc8Clx\nV2xUo8m/rY+uxl2tO/stl87us7XuuML19DNcVWrdFt3L/SR9Th5Y93tXSGmQ6fl2m6GEkH79bEPB\nSSN8wuZ00PntpeB+v7kU0P5pezM0U1Oo/s3lYGLTtTQEnP0Zu+lLIl8niXDTEFKciqERH/l0Xf5X\nl5vBPut+O/BU//Zi4/wlSTlIsZx90kjeDcTmT8o5+dQuHu6ZsEyb93Pjrs0A0/duX6upDce1i4Lu\nSYO99R+dd/2fZgftTT37Baxtw1csj0QqU1wTbYOtOihhbh+RktpyuAkDnUtnUyNsyCtdANq7loc2\nQPXMplGcjxsyTiS4efdsTmiNLikT48bHTxkWrYbJ72bjmV5xfqm0HiDM5PtmsCZu2ORjg0v9cvXq\n8Ccsz+5ttefi2gbJhvc2/LSJn/qefCZbm35pOlMdtV5ZzoJvjJ+kVaaT6mi7uehauum1QdQGreol\n3LrXnZ32UhG4YmhFqPFrviZyd3oSaU78jXA2Q8W9f2YgO6wO24Z8NCaNVHVvuoRMP1qeFbcj7pQr\n1UvryT7hmD5PnQ37FD1HWNQe1cStO/W5i1MbSgkLrZNs4pP4Yz63nnD9r98Th6a1jf3WpwnvBnvC\nMXETz+h35Xvn5waDk5f6292uwXQQuMGXhojuVZuafGr+dBGY3+e+icMNRNfgU5cbwInwJ3YiF/LR\nEemMwYaAKW7ujNrbDEWyoXsTubnGJP+o3uYflc3wpEvN3OPqSvcTznRhcDF1OsmuxmoTM9fHNCRd\nDbp6USwOhxtw7bkNA8pliqdiacM9kbnq08Exz1ON67PzlXQ+w7GJI9VOq+/5nDgsDV+tN62LNmQ1\nfuRfy6/jCZWXGtIKWpPpGknXdKhRo6bbTRqoZI/IhYpPCUlxOl9a0t3w0eeNpDjr0Gt6WkMngnXD\nLzWxkg0N/hvPpn7SIKZctxpJpKH16kio+UH7Ztyo7qnWnhlgTahmaGATXtI1cbu4NS6hnLmB7OrS\nXR7IN6pJ/Uz98il8Rfyk+U75czFzPuq66nc8TgOPasA9J751PHLvcT673le77p1ioFhsufmlhrSK\nS2Zaa4S5ud3c71sxO9IlHYpJhwA1ZSJR9cvZT4OddM93itU1OelwBUhDJQ3MGR9qWiUPxUF2XKyd\naMMnMnKkNcWtUS1Q3B1GfXZDLMWUMG5wPEOorV7TBSXVVyJQyof6r7lzMVVbFIvpjxuYDmfigLk+\nn91AdNhUF/UhDZWWG9KjfOJil/pTfXJcqOcch2t86Ds9J9zTpqsTqoUmL/sXx7SBmmOumPU9nUMg\nUBjtnDbVFmu6fLhiorNbX6ionJ6Ezdl1RE7kQhjJr0RUTjfVUMKe8KV4NCE8CUsi9VZbU1erkzZ4\nXd24vko96Pwn3SkHKTaEXd8n7IQ5xcTtdTl75pliRjqbPjfgNBZp3ckGr64rTvLFxb/Vq8O+rdHk\ng9OjcXiWH8cZSyQv9ZO0czCt37IprHSbmrcyvQ3pmfvc3D9xpMGu79SW7qfP5tfE1IhW1xP5UIHP\n/VS08w/5nvJGxT91qQ59R7pmvDSP6rvL4RTdQ/6lofrMEHI9MHPXBkCqf2cjYXb1oLq0txoRNlzT\nX6oBioeea/4QDn23iU/SRTXiasJxh+6duhMu4tC57uqL+GbuoaGne13fKC5dJz/mp2LRd7pOOBJX\nqH3HGcQxbqg3eam/3U0JSTejGQQt+Huf6tgGppHH1E/No3vIN2fLESx9byRPuNNgTO83sXNEkwY8\n7SddqemInHQIuQGi8WpkSPGlweOeVY+rn1TTKhrfFG8lEjpHcWrkS/FK9eJqWzElXqB8kbjB0HqL\nhuj0i+qk9Qn54Gon9YViTrVBfjt/0jByOhLWTd1NnxNO1UPrU1ca6Cn3zvYUlyPy12HcyEsNaXKG\nSHCKFolrKkcAars1ztQ19zsduofwOJ2NRBzpt0JvQ8nZnLGlBm05INxuwN049IIx1zWftFf1UD7J\nb6dPiUbxqC6y90wOHTk6P5SIXC1tCGiec5cN6k+tDdrn/G8DyPWW20e+U+8RBscT6dKga8kGnZ0+\nKB7KH9lKPpEvVLcOU/Jps0Z1tdHt+FnfT5uuVmm/kzZvFFM677A3ealfd9+kSIlLRKxk3Qb6tEWE\nos8JL+F3BOAS7AhNxWGlffPT2dPvWlDT1gZPwq2flKNGpimmJGlAzVpyMXVNp2epNlNc0/vki9YV\nfSdpA63FYlOXc2/rvRv3/KN6ns274k8+pHi7YUdkny5g7ZJA77S2FHcbXI4b5+fU5XonDT99T3vU\nH8KQdDZcVFvpvLNLNXR/Oi50vhA3O25Lc4fk5X6SpmZwBeuIye1XUiK77kam+uZZ2ke2tLmVMLTY\n3GVD7SpW/dR9VGhaiC6ujmwoJnTW2XAxVR33e82FI7OUT1cHrgFdHbUh2+K2ISg3IF3dze9pYKTa\nT7634UV65n7nz8RJ+zZ6XJ1MznA6U65VP/nYLjG0T4cDxTHVu663eDSecDFOeU15UHybYZ0uQKrb\n7ddnigEJ+es4yfGL67PWbyQv95P0JG8i9DZgaP8MjrvlzL1un9uv4vS4AUFFk8g2FQoVn/N5/nFn\n9Pt2mFNOSHQvxYzOp4Gi36ePG7Jtg0dJdeOnvk+kqFg2faB94y4bbkA4DOrrfCY889zc42Lkarfh\nUb80BuqbI3zKg+sTsqmYps+JcxTfxKn5oRy1XGqMKeZuQGu/aGyo7129JV8nBhXquQ33TFvuc9ol\nvtGYUi3qWrt8ELbtsH6pfwXr+vi/YJ2TyWNDjHqj2QSR9tKQdaSt+FIjK8GnondNSp8ak2ex6d60\nx8UoSYqv+j3F5YHOujg424qNnklH8tVharpSTF3M1JetH+7sXN/EL+VLMTn9CYd713o84W+XE4eh\nEbbr6VS/ZK/V2Kf6tckV2Uj42uVj25fNP8Lv7Lu1TR7Id3rndM99zneoVTucXuonaSczsBQMvfnc\nexP5zD9Jps2pc3v+3nPbVx0O11yfBZN8p72qR/HPM/qpNhJxTn/mn/sckUMSl1OyNb9Pe853wjr3\nUTNviJXwKybVpTGf7+kdYVQ7eiaRP9Vm89ddCAijw0F+kU61NTE60dpvJOywUa8QJiJ+Z3fqaLVD\neIkLqPZpfZ5LtUN+ETYXH3ee6uxTBvD81HqguqU4zLPEAxqb+1l7xNWOi9mnyEsNaSoel0AXCC1Q\namodJJvbFZET/VF/9DklTBssFYJiSLGhQiN9ilEJl/x2Fw21TYPJ4VNMNOAUM60pISl5pncJUxrW\nSkRqj+KheoiINSYtjrp/ftJ7R0bkRyJttz8NVxow5BORPl0y5h7t7XvNEbfTvx28UwfVLHGNG6xp\nkBPednlxZ5yvNOycLrc39Ukapg4jDXoV11t0MdB3yVflC61N4hfXV6o3yUsN6XPyT3N6Y2qB3shM\nmiusNCj1HBW7+qeNOe1vh0Tyl/A78ky+kbimSkRL+1WPaxAt6oaTLgNkk+rM1cImv63uqLYcYUyM\njcjmOsVQ603rQP1I9ogYtY6db2nYaWwSWaahqzFLvaRYtTZdLDefs5ddH1Pu3X5XzxoH4olnOG3D\nQ8/4ozFR21TLSQ/1SeJG/UwXEKpjF4eJlb6nnk7nnbzU3+6+xSWDyJuKlBLjbjdz/zzvCt7dnnQv\n6dU1Gho0SF0cqAHmurvwtMGQSJKG1CamCS9haLZVHOFsh7yrD5cvGl7OlstZItFmn2Lh4qYDiPrB\n+U36XK51Dw0Wl79mS/VtLjiJ6OmC8swQIMzKNc0e6XMck3inDTpXO87uHNaUv7nH1WEa1ikG7oJE\nfpLuhs1djlws6JzjoVTXaSa0of5yP0m7G+P8TuttWBJhJsIgEnPrs7BcUWnxEUb1pRXXxof5h5qV\nSE/j6WLncOhzGkCOBCYOGnK0Nw1qd0ZtKT563gwpGuiOWDcxoHjfn66u3IDcDCPSc3+nuLg97mJD\nZ2e+VdLgmTF6ltQVp6sVXSOfNraVL1SvG6ipjxvObb4Tl8xzLUZzH8VYsc09xElzH/mg5x1H6/s2\nZ1S3mwUpVqRHY9H0vNSQVmKhJKUb2b2uzylR024KGBWmrics0w4N3+mjuwAQXkf8c5+uUfHqe/KD\nhup8dvGdeih2KfaadzqbxJEeDa7NYKX86BmyS2Tl/HBxIV+3pEn1Tu8p1uqvDlXV6/CmvY6AHbZE\nujQUNG/psqC6HLE7fenC0OrVDX2VdllKXEB1SRzoOI9qyeWScu70kB8Tm+MmysmmFim+xM0a0w0H\nki9UI4TtC5jaFP+K5XEOO+zWqVma87pP97rmI9tz/3zv8NB7Z9e9d5IuD4nUku1EaNt3yQ/KZXqe\nkmKu6y5eLofpDNkmnKkWG05Xo9s8Omytfjb9tMlnqgHyTc+4d86XzUBzcfl6nKdYtLXkS6sFPdt6\nUbFu+4kwEwbVQXpSPTgs6r+rq80758c2N6nXSV97LxhtY77ckHaNvA3yZtg4ot0Qj3ufhkojh9bU\njegdqU4smwZMxepwfQr5bIdqG7ItVm3Qqe5kr106Nro2RJ9qZENm5KOuPZPDJqnmn+2zuYfsu0tG\nGh7N701vqO1NzZEdxZf8SEPA6dgO3tQjm37exJXwpAH9ZXjCSfJZcW1mCtnecBxhAhvWmZf7A+lf\nvQAAIABJREFUdfc5voHUwftP0pUanYp6e2m58SVSmfsUdyq0ZwehniMCmWf03NwzfZrxpf30fZ5J\nuZkYNI6KN9lXPWpHMek62XP65lq6hN05mzVCJN8GtsqseT2fiIR8T/4RNq2NVE8kGt+Uc8I5OcFh\nUH8dLs3TFOprNzTmGbWd+oV8c7qcX+QT+TLtu2GnOdcziWfcgCIOmedJfxtsbqC7eqK+pzipTuWA\nxteKU9dcfuk9ycv9JL3d6AjODfj5ns67CwKRaxoghCXpTUP42Rg4vwlX+950qN3po8PkmixhcASZ\n8JFfCT/50HKn5zY+P+tj8olqx8XXnU1xc7Zc7SQCdDW+qfu0x9XANu5Jb8qV2+N8e6bfVMe25kjc\nuWf5Qs+oNP/a3k1tuHfPcuXU4eq78VPS2TCFmNvp/1JD+oL/LOh494X1dKuZelLDkK37XSJxtdH2\npWRvsCTbG1J3dtyAbcN8rrXGTb60JnVDJsVDbSVsm4tAstWIj/a1S42eS5/q66cOCFcnDiftI0l1\n+YzdjT+kP+HZ9n+qvXTxeVYH+U8+bXp6M/xSDzp8ijFJq+90pl2AvkzdzP2Ux4R9G9ft/s2Qfsl/\nT1qlDYhPTez9jvTSmfvZFXcaoFScM1Fzjxtk6cbn9JJfhFH3tyKlGCkuRzhkw0kitHaGbN9x1Hdb\n3/WZyCfhdDWiMZ16nskz+ZzWnI9zzdUT6d0QqO5z70l3in2qjc1wV13aMykPrb7dMNe63gxErQuq\nGSfU/4qPbLdaS3ZTLboh7rjXYSV/2oVq1jblul2SGg84PVseu+Wl/pn0OX5g3aKB1c9U1E7H/JNI\neUuerrgcxjTopx53Y2tE/mxREI5ZwC4uRABE7NogtHeupSZvjUy2dZ1qSu06EtteCCZeymXSMZ9V\nz1zXenC9QN9TTU68zl83MFJtaKwpzw6fvneknPpm7t3WB/ngcpkGkOrR9dm3lGeX83me+i9xJQ0d\n8q1dKFS341c963JMQkN8exFToZlD9U58R7xB9knXVl7qJ+lEsm5vIwG9AVHBueJxhZ7OTyFioOIi\nckkJpeZIt8REUmqDGtD5QfoIS4qxI0nKr2skahbVQZcJ1UH+avzSUNL9FBc3DFu85zr53mpYZTNc\n1L6rMc1N8t+9131uELjaUuwublOPI1xXr1RvVJMOB313/e70kp7U242DCCflJfWH8/Vea+8nJpdL\n4geX63QRoIuN091i0ng/5e2ZIf1yP0nPoNGQnM2VGjUlVe21wUNYUqEqaW6Kzw1iR1jkoyssHXTJ\nnuKZfifdE89Gf9On/rhzU3S/IwdXB85XxTi/p7qgy4gTile7ELih7+rF+ZIG7TzrelPrfZ5vfXmv\nUdzSO9Xn/JrrmtfEH2mIES+Rzy6G5IfiSIPf+U8xn9g1fypu2Ol+5zu9d4Ms+Up1RNxHMdOe1PNq\nsw1ZenYXBeUoV0MT52ZYv9yQJtk0Y7ttEclr8VLxuWE89WtS0mAlUkgDcmLTT40NDT0tFhdLR1Iq\nbsCprfmuNfjGTmpGN+Ac6Tj7aZBSreh6IlOnMw1StdWIU3G576mXNA40LJJQDbpBsiEorWMi7TZc\nUl7nHo2Vy6nzgeqChhfxlYtHirmLwcQzP2cMU57SEKF+JqHhNXUT/vTd9dy0QXlueVdOTpcKd9bp\ndVxJl5AkLzmkqdBdsl3BpMaldUqCG7aOjHVNh6xLiLsgONEGT4PR3QBp6CkRqt9EWnoJ0Bi0wbUd\n4HTeDSI6RzEiveQf6Wrnky9O5/Rr6nAXgxR7usgpbpcDV4+03ohKfXb5IJ9SXsmes0PDyg1dIlAa\n4BOr5iHVPPUc9dK27qgGXA0qN1H8yEcXC9LjdKRLRMuvs0czQfdrXsgPGqiU14Tb9YH672Kb5CWH\ntCMSddAVXbrtOVJMNx96piRTA6kuV/StULT5XZGlgZ8Gi8bcYdp+d1jTWRUawvSu5c35quvkQ9Iz\n97sLgsOvdu5PGrpp4Cumto8Gy7Tn8LkLw8RIemh4OaFec32p+u9nxUxY07DWZzcYVZfqpIHv4q5x\nIY5Ioj7N9WmbfKCh0S4zKqlPWv5cTJVT595WD8T/rvfm+8TpaVi7+iBeJf8bD77Uvyd9zmf/WVAa\noPFQKXp61/ZNvemCQPicDXdebWz0u+ZJxUjvdY+7WOhn091i3YghERTFiPS2+nHERbFNOXG2NqRH\nflHMWnw2fZPsu73OzjNk3XxyNp9ZI9mcoZrd1s304Zl4u953MXHYHPYNxtR3DaM7l3xNmFwMEv8S\nJtWtPk9JeaY4pxwl31KexCdbyC81pK/xHzO55dmB6wplo4fOP5OkDY52xg2nRuBbMnXENfG14TL3\nPBOzZ4YgScJD+ujMhgg2MXL2SFfTv8XZfNbYtaHT6ml+bzY39lVfw+TE1ZTrmTakEge2YUjYNkMm\nxYtstaHncG/4ZctbzW/d6/xK/pKdZ3rCXRbIzzSMN3lvPrl8mz224F/qX8E6J/90Qftm0BoZNZ1z\nvys23XN/poE0vxM+xbMlHjfQFV8Sfe/2t+E/8dHnPOtskq/kSxqarR4mBjd81F993wZL0tGG5oxb\nq9F7n+ojvwgD5UNj5fymZ+2bDfmpP85HxaG4HYFS7hN+3de+t73OBu13vLPtPbLvYpRyS1iSTfWR\nvpP+pjf5QfuIh+dnuvDo/k1Paz40T9pn+ty4+ZaX+mfS05H7zy3ze7rNbArLNcDUQY2XBjY1Umpm\nSm4rNsWeSNn5RnrI/9aUFENdc0U4cZPddgGYe9uAn99d7JLvmhP1d2KmvTMWjixU0jrpShcHPad7\nXF+pzB5whJnISXUpNiJ0irk+z/3Oz/mO/Ex9cr+nOnFnHYc1PGmAJLwaJ113tevwkC397np+xkDz\nod/dxUV9bD3q8Kaea1jn+sTq8u4uWGTD4XXyUj9JJ6Jxe4m03PlNUWhDTv2JUBIBauM44qJhnYrK\nNaa7GCT7TqbvG+LQfRQv1ekuMLRGA1T3U3MRuVD8Jk6HR31Q3+7nTS4mpmSz6VBpZ91FgXx0tlxt\n6lqq96RfJZFf84VsuFolvFQDqnPDX1S/9D3Ve9KddDreclyqet3QcheLFFsdWI5fnD3XuwmP4+iW\nJ4ePet1hUd3J9hf2bzZ9hfIg4BSAdBvbrLnh2m5ormlc0VNRkV9p3RVvi0sqrIbZ+a9nKTZuWDrC\nSHFK64TXkYmLc5Nm2/nW6rPVCWHY9oXzudWus5eenaQ8qA/OR3fGCeFsOlK/P0Oym9ra1GYi8NZD\nuv4p+j7VpjuTanQzHJ2dxG+JPzdzZKO7YWl8AP7ZZnqpX3ffMm9NuqY3sPnekekdJC2cO7Bun9qa\nwaak0Ll5fp5Rm+qvniUhe64I5vv7D+F0cdY4KQaN6fRXi1htE16Xl9Ts7RJAvtDZKQ3rxLi5SDhy\nck1OOaBcqE7y2b3Tc2pvK64Oqf/0zKwRjSXVHdlQcXUz99/vqd71mXxKdm/9zY8put/VDdmYvab6\n5jntSarbTbw0VxSrxFHJBq0nGy7Pqs/1QbN5r1Ffud5LfNB453N2N5u+QnmkQeUIzr1vBEMDxb1v\ne9rNTYfZfKZC2RD+l/HFnSE8n4Iz+Z6G/NRLsVW7zrbzUcXFjGw2nM6nRLD63eUjxWYbk6RTbevZ\nKc0/8mOeS/ZSzWz7z0nyx2FJ59S+nlPbm/pO9URYkt0Wl3TRUN1ka1PXz8QoSeoRJ5vBq/tajTie\n3PJc8Ms68lJD+pJ/BasVNe3dNJR7XgQyrj8zrFXPZk/yX89v/GnF9qlntoM6DTf9viHBeYawO2xk\nv+EmXbqmeNolgtY2uXT2nx0cuv7M+9ZXznfyhfQ43xSP000YtxeBdCbp1+eEq10ukn036N35Z4bs\nhnOn78nH+W57MdA1VxcJN9kn2dbbVp700Q6ul/p19+Phfw3gvt9nWhJm0hrhzc8ZSFq/n+f3bQNM\nzI4cEs7kyywE9Yt0uef7fPKFiEgLUWPZ8nG/T8Sg61T8Lab3OfVnnk+XEMKqNTx1UNyo7nWN6kz1\n6Lkpm5ikywLtcQN61jP17SaHaiPhpfqjXnYxne+nTd077dKavnc17uy6/nS11/qZ4kF+JY5oF4ip\nk/ycOqa9VAcTo/PLDe4UQ+KUpHf6pf7o2RlH9VFjQ5yS5KV+kj7H/8Wxr22A29P25kRnVP99xjWH\nIwT6TGfdzc9hcOcUt4uZ2qA1ioHqbrnY7Gnx0rikZxKNVRo+Lg8O1zP16dYoDw4L2SC9z+JtdZti\nnPLrhmXCTc/ufLoYNKyqk2K/7ZNn+8Zhcxia3mfWtntb/aV46R7HX2qLzjg8hNvV7YbrU33Nvds+\nTH6qAH7708RL/StYKloo7kaz1aVnpn53G5s3ojZ8VAcVdWqWdl5xOR+dnbnucFO89fxtyxEr5amR\nBBHtjIvDSH47n54h87m+IXDdv7l83DGkd88QMOHc+KexagPTvaNacrlMuFI/uxy6fn4mjttB2j6d\nDy72er4NAMXuMLSLSxteasdxcBpOm8Ho6kf1qF167/RRXpIPaV/rhcl9FAfnU5OXGtLbxFLwXJOQ\nHiJVV3RpIBD+eab5Q0MoJc7pImzPNGmKycSrz+Sz0+HOby42jRAII8XHYaO9LndtqKQ4JN83e1It\nb4jUEXo643CmeNCAdzVG+yh2c5+rW0eqGp9ExKleSFytUd07vY7TnuURfa/2HT7nt/qp9eb61vmb\nLhQuLuSH6tMY6X6Hy3Huti6TH2lu6Mxq8lJD+pZEtu6G5Jpga2MzHFzhOAyusBNxK8Y06FwjqO/b\nYmgXBrfuiCE1jtpTPZQXh4H8aySX4kP4HJESbiI+V1+KV3PsaosGtOIgn9NQTvVMxOXE1eYmbknS\nENR9btgR9jSECVuL57M43IBOdalrZIv4YpM/1b3BRrHQcxq/tN9hpJ5Je0gcX902G/cl/SnHGzsk\nLzWkUzG7AbUJ2C3UMA2LnqV3LjEOm2tePeMwUrG4iwXpcc1PvrqLihtGm9y0YeX2NZ2pTtxa8nVK\ni9FmL9lRTJvY0QBu57d+qS2y4dYcgW1i3PxNdmmAJDJ1FxNHpElfOke+tQExJfUH+e8GdhuU7bKU\nuIB8or20li5Y5Mfto6unFJtmx51PWBuO5vtmQJ/zYn+7WwvrnM+TT7uRzbWp45ZniNDZoCJVG/NM\nuiVq87giSRcLjUsjp83go/gQqdFZwk25mLaVYOa6YnQDiurEEbZrovtzEhu9p3MTO+1PMdBzacC6\ny9l8t/VP1+/YUf3RpSwR+jznsMzndq4NMxq2aZC5OFF9Jf/cO3euXc6mUB2m3qTzrldcnluf6V4d\nnnN/4g+NBeWf+HL6pnFSO6kHNTapJtPQdTgoRg2nk5f6293XdT3c8GjF6UiZCs01Hw3CdFtKhEnv\nnS3C5kiq4SMbrQga2brYpctDw+NsbrDeupPOVhvJPuUnvXOxIfvkz7NxcfWY4jOxkM6ml3Crzk9Z\nTzodhsQFri83sdc1xdJy/Wz+3WB2/mzqgGym2Cc+abrSHteH99qG8wjPJr+NR1puJ9a0P80Mh8P1\n++Mb6d+TTmszIO5mkpps6tQ/U1yCXONMHVRwZOPemwqU4kDFRzFIOsgnioEr/OkPFWJqUMoFYXTv\npi3VOfMxfZjn3N42RBIpJ9spJlsi17gnvdvYOztzr+pxMXE91HpDz7mYEY40TNwZXVP9qX/cUGl9\nqZzlfE5DZlvfyieaS1fzrj6oHhQ3SRrmSVzu08DV9ynWs38ovi63zh5xC/k+sTiuTPJSQzqRoyPb\n+5kKkj7nfheg1KS6jxpsnmkkSzY2gy8VhNreEvPESIPY4XdDkGKi/jzTjHNfGna0Z+5zg6iRb6o/\nteMaNZ1zQ0NtE3aKhcPi9rshonpoOE6Mrjfn/jRMtdaUeKm2KAf6uamZiTnF2NWHxolIXMXVS8Ka\nLhukn9bcRUBjrme2Q9hhbDg3+imvdPlRvVqbbRg7vnY94NbcxWAjL/Xr7nPO58BQkBPR6UBM8uyA\nbsPpU9bbTW3uIT83hZJspSHl9ukzfd5n6MLifEnidNOnw+lsbeqJ4p3I0uVH983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6AAAg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0su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\nO6SvXLly5cqVl8od0leuXLly5cpL5T+Iazv1Czxc3AAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434b0c96a0>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Second transparent"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_matrix(shares[1], title='second transparent')\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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uFl3eJnxBOXD+q37yl7AnzFfqbhr/Sb1UWx3vpNi4+HScQDHreKw7oxjI9+Sv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\nkwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434b0c95f8>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Stacking the two transparents togheter"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sum_of_the_shares = shares[0] * shares[1] # note that matplotlib associates 0 to black and 1 to white\n",
"plot_matrix(sum_of_the_shares, title=\"both transparents\")"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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JN3XN+cIVzSSJq5zkB90j+7vidfFJDf98TsCKbKEzRKQ72XH8qkDvbHZyEg9n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\n0wBzB9hJJzpPOpD+6Wy7M+813ZPvHU6kRpJsS7pPS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o1+2yHIxe6ftd+jSX+ML+ltI5mU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\n1wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434b1ef048>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### remarks\n",
"\n",
"* The person that creates encrypt the message is called the *dealer*\n",
"\n",
"* One of the transparent can be called the *cypher* and the other the *key*.\n",
"\n",
"* A crytosystem is said to be *secure* if, without the key, it impossible to\n",
" know the original message from the cypher.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Let's look at what happend"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## We started by an image\n",
"\n",
"This image is said as the *message*\n",
"\n",
"![image initiale](files/image.png)\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## We splitted the image into many pixels\n",
"\n",
"![pixel decomposition of the original image](files/image_pixelized.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## constructe transparent methodology\n",
"\n",
"We construct each transparent in a pixel by pixel fashion."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax0, ax1, ax2 ) = plt.subplots(ncols=3)\n",
"\n",
"img=matplotlib.image.imread('image.png')\n",
"do_not_show_axis(ax0)\n",
"ax0.imshow(img)\n",
"\n",
"show_sub_pixel([[blanc]*10]*10, ax=ax1, title=\"transparent 1\")\n",
"show_sub_pixel([[blanc]*10]*10, ax=ax2, title=\"transparent 2\")\n",
"\n",
"\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"-c:43: RuntimeWarning: divide by zero encountered in log\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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coo2bNoUlwxijhPh41a9fXw0aNlTjRo3UsGFDpaamKiUlRYmJifL5fJoxc6b2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\nqXPnznrhhRfUvXt3T8cSjWJ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"text": [
"<matplotlib.figure.Figure at 0x2b434b245128>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Encrypting each pixels\n",
"\n",
"To encrypt a pixel, we'll decompose it in $m$ sub-pixel. Each sub-pixel can be black or white.\n",
"\n",
"* The humain eye will approximate the $m$ sub-pixel in a pixel\n",
"\n",
"* If there is enought black sub-pixel, the eye will see a black pixel\n",
"\n",
"* If there is not enought of black sub-pixel, the eye will see a white pixel"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax0, ax1, ax2 ) = plt.subplots(ncols=3)\n",
"\n",
"show_sub_pixel([[noir, noir, noir],\n",
" [noir, noir, noir], \n",
" [noir, noir, noir]],\n",
" ax=ax0,\n",
" title=\"a black pixel\")\n",
"\n",
"show_sub_pixel([[blanc, noir, noir],\n",
" [noir, noir, blanc], \n",
" [blanc, noir, noir]],\n",
" ax=ax1,\n",
" title=\"a black pixel\")\n",
"\n",
"show_sub_pixel([[blanc, blanc, noir],\n",
" [blanc, noir, blanc], \n",
" [blanc, noir, blanc]],\n",
" ax=ax2,\n",
" title=\"a white pixel\")\n",
"\n",
"\n",
"\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x2b434ce2c438>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## techinical objectives\n",
"\n",
"To help the humain, we need the black to be as dark as possible and the white to be\n",
"as bright as possible\n",
"\n",
"#### black pixel\n",
"\n",
"A pixel is said to be *black* if it is made of at least $d \\leq m$ black sub-pixels\n",
"\n",
"#### white pixel\n",
"\n",
"A pixel is said to be *white* if it is made of no more than $d - \\alpha m$ black sub-pixels\n",
"\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"## remarks\n",
"\n",
"* $m$ is the number of sub-pixels in a pixel\n",
"\n",
"* Bigger $d$ is, darker the blacks are\n",
"\n",
"* Bigger $\\alpha$ is, brighter the whites are.\n",
"\n",
"* $\\alpha$ represent here a \"distance\" between the white and black. Greather this distance\n",
" will be easier it will be to distinguist between the blacks and whites"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib as mpl\n",
"\n",
"fig, ax = pylab.subplots()\n",
"\n",
"cmap = mpl.cm.gray_r\n",
"norm = mpl.colors.Normalize(vmin=5, vmax=10)\n",
"cb = mpl.colorbar.ColorbarBase(ax, cmap=cmap,\n",
" norm=norm,\n",
" orientation='horizontal')\n",
"\n",
"ax.set_axis_off()\n",
"ax.text(0.9, 0.5, 'black',\n",
" horizontalalignment='center',\n",
" verticalalignment='center',\n",
" rotation='vertical',\n",
" size=\"20\",\n",
" color=\"white\",\n",
" transform=ax.transAxes)\n",
"\n",
"ax.text(0.1, 0.5, 'white',\n",
" horizontalalignment='center',\n",
" verticalalignment='center',\n",
" rotation='vertical',\n",
" size=\"20\",\n",
" color=\"black\",\n",
" transform=ax.transAxes)\n",
"pylab.show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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"text": [
"<matplotlib.figure.Figure at 0x2b434b480b38>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## encryption\n",
"\n",
"In a way or an other, for each pixel we figured out sub-pixel to place on each transparent\n",
"such that.\n",
"\n",
"* when stacked, they form the the original image\n",
"\n",
"* with only one transparent, it is impossible to know what is the original image"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax0, ax1, ax2 ) = plt.subplots(ncols=3)\n",
"\n",
"plot_matrix(shares[0], title='first transparent', ax=ax0)\n",
"plot_matrix(shares[1], title='second transparent', ax=ax1)\n",
"plot_matrix(shares[1] * shares[0], title='stacked transparents', ax=ax2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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f7KL6eZdUDKsazJQwW/hZ+Y0JMCVK9qwGJbbn/MzujZFdx90HQjYcTockxONy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DWx2bMZkGfuw9WCI4Xq53ZQOXAnf5uuKck/Z9MNB6p7V3fJ5llsSD1E7+P5tZjS58kfOLzJNdVw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\nvrVaoLPJV7K9iY98mWuJNDgf3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kBTXcyfDWNmv38GsXh1IRyed9hwOA2sTU43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\ndy4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DRwq+SwoXzHnGJbnan3upaBspJtzagBz5peKdPlCcU8NyPt+6KFaO0Eg3EYgj71RI\nc49rMBOTfqZ7nPrJhsuzRMAuZ+nupj7Nryc5Ob+nwcDhnM+UL+2sYqY8SXWZbDmhAYfef6I85eE0\nQDUebvmuQueJIxxHuzt3Qxm9J/4m/I1PaFggHJSHqQdpb5j20pDj8j31XfKJ/Et+kg+Ns5Mf7g7n\nuTZEUS5RXBzXkk2nl3yf/ro+2IRygO7Dcb+rL+dz4+IUx8PFLE+5eMpTLiYb9zkSN+e5PpxmKeLU\nNFMQBuU9l6Nkg2qU4pzy2vms3Ovuj/KcfCMuIO5M+Bq/Tkz6me5x6icbLs9SfbcZwenT/HqSk/M7\nxZnyoMVu6m1niXvnXldj5EPrT6T3J3n4rf6yYTpICUTPrTCd0LDy5HJ0WEjJR/o1cZXYHHkn0QRx\ngxnp19i7oU+HH4qX4mgkkYg+FWgjd9WlZ1Ihpeat2AlTigfhUv+2pNuwKxanQ+9Vz7j8dveZfCZf\nqdm5uJIejUHyi/ZR/F4h1N8gjgN0z5RNPPUd2Ur3p3Z0eJlrmh+tLokHpz3Kc+cT6XH7Uny3NTvr\n1eVvqxsnLq5ugFK8Ew/hn+u0lzDq3bg717VNX77XtkNdO9t8IFzKn+Rv4uGUA86vNstQfaa7nfqd\n/Q0Xu/efIq2u6dnNFfc7JzRXpfuj8y2PEk69c+LmhI/E5XfiSOoFruY2vYtwbGYoetfmu3TPVPt6\nxvWrxDeE3c1uLh6ES/1Ld516couZ00GzI/WTFBuKCflMvjrupbiSHo1B8ov2Ufy+w8Nv9282bBLr\nujJR6XMjUXfGfb91uQInYnEJlkjZ4Z9rcy8lreqaeFxSO//S+aZPJZFv2jftExaSlAtzj8Yq3bvD\nT7jUn/SebNB59a01tbau31OMtndMfk097r3acmee1ufU7d4Xvz5l4n2Jh9OApO9bnm24WnVtmv5c\nTzX7qk1n19X9hgMcjqSX9DV50jOfDE+qb3v3DVfivsTRG7v/jVwg3S4mqb+3761/bLmVdKTnJ/0i\n1YPGyWA8XKwbw5ykz62+3ZmnPbfdu9oiPRvunmtzb8td9TPV5namSHXYOLrkPO6b9gkLSevban9z\n7w5/61GbHtY4jXxLubdZ1+8pRts7Jr+mHvdebbkzT+tz6k48HPxa8/Db/WXD/dmKfjOEucC2M7o/\nFSV9p6KgYkyEQBebipTWHYZXCtYVw3w/7TrdtK9hafF3cXJxoH1pCNJ807gkQiCbegfq35Ys3bs2\nQKiQb0Sy7b5ag9VYuoHD5ZFibO9cvLaSmu9vFsdPdK+UO1RXU+/cO8U1tZRXDv/MN5dn9KyfjbPb\nQDdxpmHKnVUbrreo74rVfU6dynet/zwR18vdmuvv27in3pVyYTOMuX7m7oHsOCwtv1qfTr0ocWbS\nlc6Tj9R3X6kBwujs/lYh3qGaUS6+JXGDkzRfKC7H7bSv8Xqyp/gJK+HSdYeBdLdaczlIPObi5/Y1\nLC3+qbe6Pbov9X/X+9Ufh1FtullBdbq+nHJ22zemkG8asxmDlIepdjWWblZxeaQY2zsXr618h4ff\n7i8brqsHZ+5x5Ktn0wXqmhvWdE3P0vsU39YcnK9EVC2ZXLFQPBJZpKEmYU5nUoNJfiR9FBuSTUxp\n3wav+qz63do23k/vlWRTO+Q/YXc52Agq5Qrd95ZUk52kO9TBnpX/t+UPHqbnuZaa69Om33j9XqMz\n93e3T9+TH2lAoPOp/prfG64lvU99UHsbHxK3pLxIPbL1nCdrzfdkM+lp4mI749LqId1fw5NsuJho\nLFqcnS06q7Za/W4xpN7zyVzceOhp7P82FNbSzLHJnU3/nvhIT/I1cVzirO3stOHpp/yczriYNj+S\nPooNybZvNK51sXB7Nj29xe7pvZJsaof8J+wuB12tTFtJx7amEheQD62HfoeH3+ofiNQL0EDd7+ly\n57sZGA0UXdy8gHs/2XKFrDrpYkjnfU4xuFhMcTYpLmmYUF/mWmtuKcEVk0v0ue5iqrHb7HO4Uh45\nInC+Km7NHTpLMWxE7pqlYqXcVzuEe0OKpEvrS+9TY0E5S/l5f0+kSnW5aSKUk87HieOThLgn8dgt\nel/Kb6kxbniY7GkOz3NaC6m+CU8aIpSPNM/VJuGc+9Um8Rr5QJ+ER32YojHWs6rb1bfab3F3vKax\nolqfWHWfq2cVd4Z+pg6Xh8Rfakel8SPh0NymXkH2Es/TJ+WjrinnU2xJKAdd/h8u/ucz5YG7b91H\n90o50biY8FG9UX2lXqL512IxxdmkuNBsQbp0Lc1F7pzDRHWj9eRiSj2o7XO4Wk+ndecr8Yjr3U7P\nzFHqDZrP871ipdxXO4Q7caXrL9oHpn3XMylnKT8n/yWu1FhseJhy0vn4HR5+q182kAN0Makpu3OJ\nBBoBKEY6Q8WULo4waGKlhuBIXjG6mGyKifQTybkCUruJsFwMXfNJjcJJIxbNI4eXiJKGNLrHRFwp\nPq6pJdImotvGjHC2IYOaBN3Zdj/5p/nnGrbDTFzwhB8+QVojcTx8r6U8SffrzuleyuOU1204mc80\nzNAAsMGfeE/P6HCm51Lc7metJzdY3dg2Q5jidDyte/Sc6n1Sh4lzXQ4mHElmbDROiskNd/OZOHiu\nk93Ub1M85vfGrfO92kr9L/n/lIsVU/PtcPG/xPXe+Y44oHHx3OdmRYfR5TPtoznIYUizVOIdyitX\nX+Snq2fSrzVK8Uh1oeJmLvWb7nc736ktyiPqJQ6v46D53t2ji7Xzpc2Kjj9u3XrP25gRztTr1HfC\np/Ft+8k/zb+nPPykF5OOrbzVLxtaM6IBKRWmG/j0bAq27lNM1MDnvtS8ifi0CCg25Lvbu8GmCbsd\n1pJ/ak/XNQ56RoevhMWRnZ51BN8GmolFf9w+xaBxT3FTnS5e5CPl69TtSN41gmmPmpvidoPJvFfn\nB/mY7or2k13XvAiPi4Gz+xul1b3jYdeEEg+7oWbu0dzRWpp6qUk7/p34KD8d32vjJh6lmqd4qB5n\n3/ENxWDznepYY0Dxpn6nNhQf4Uhn2r7pt9po9ap3l/Cl+UA5xfE9YVG9juMdj9L7xH9JB9nb6nI9\nd8vF7t3UQ3PJp3Oxm1doLnQziuqm+TBxseNY+k5c6HKN8nqT8+R7q4+ETTnX1QzpTLNdiqvGQc9o\nv0lYHAe5npHmrJRH9OP2OY4kLqc+OHW6eJGPlK9Tt3I5YXJ5oHEm3InL0z26PpjuivaTXfKZnlMM\nnvLwW/2bDV9fX38lorkuH5wWNBJHeImwWrxoCNlgVxubs+kMkUva4/SSLxsS1/Okr8UgfXf2nzYb\n55fD34gv5ayL7RNx+TB9cmfIl1cJaeomPS6m6oPiS/ZSPW98eaLH+JQJ5ZcI8fB17ZqUq1uVp1wy\ndW54TvVtcsDlccLnzj3FP99vxPHHk56pzwnLk3psA1y6M/Ih8UvDv+lbbabY8qTDppJ6WupnW/20\nX22nGD/Jh82sQv44f93ew8V/P6/ru9U9SerJap+ejQ8W1xMu2pxNZxzvbHpH82Xbx9zs86T+En+Q\n/S3XNL8c/tSDCG/ycereSuMdx8H6/gnXb3OPzic8qf6e9GA6k7Bs9Bif1jz8Vn/ZsCnI+/P+uZ/n\nHrqYecFTLwVZE2ruozO6h5JKE2xibAXi/KO4kA+k1xWD+kj7KekT4bmiJP/IX9VLd6v37ghr5kIi\n1aTDYSefNX6E70mOTV0u9tO+7lM7qsPpIh0Uv1RndMcuB/Webhta++qvnk136PRs4vub5ad42NXq\nfHYcrKLNjpqf1g/xgvpBOUA+E/65T79rPNSP5J/GRGtWz6lPuq8NEmon9SPiWP10PqodOud8a/pc\njir+1Nd0f+LHxjGUd+Qj+ZHmGsWlOe96jPpFsWlcOe04nOojxcnF2/X6w8VnJtb9zj/HTRQz1Ztq\nw+kmvC5XU42QrzQvOb10t3rvrnZ01qK7SlgTdtd35z7C9yTHpq7EE9RPFEPifNVFOtr8qPlEd5z4\n2fGw48+pY8vzpGcT3yZv9cuGW6jQrouHLg26Nic914KWBgdHMtRMKYkVw9StulziajK6pCWhmLk9\n6o/GQ/13Q1QrVNfc1IYWFuXC1O8GL0fg7pNySuOfSEV9VB0bUrqfHWG4eKZmlRrJzDnKzanD5Z1r\nImovNU4idPUr6ZmfjsjJ96kj5fZvl6c8PM+kAUK/O9uuZls+pRpTIU5WfY5Lki7ibdrn/Lj3ub2t\nLjROiT9Ip7s3WtvUVIqZyxW6S/KJ8LQYO3yUO46T5nvKPeWPuS/xEvGe43KK1eb+VNz71kvcvTQd\nrfbVj8PFZybWmqIYzGc3m0yhmLk96o/GQ/1vvKg2nD/OhvJO4uQZE63ZVtupx7v+RrnU5sOUP7Qv\n9TQXT+er61Ga3y43pw6Xd5u+RDhc/3G9P+mZn9RbnO9Tx6s8/Ha/bFBC0YtLCTX36aW4ffRd91GS\nuAtwwxDJ9rKdPiJ7Il7nqyMMR6gJo/OVioSedT/ZUV3bmCdCaZjV1sSi+wi72nZNImFKDSQ1P8Kq\nfuga+ZWGFsU4faV3FLN2J/OelezcWVfz8x01SKqJVMO/VZSHU429wsOqz90n8YbT7eqw5Rf1mTQw\nqC9uANAz8xzVGA1ZqdG3XCfuanFImN251C+STsLnYuf2UW5O/W6ve6f26D5cvjQ7qYcQZpo7qH+k\ne5y+aDwJm+Ne2vddLnb5ebj4n6Ic0XrtUy52XNf4gXhIcbTeoUI+6nt9dvpdT6B8pfqivQ4XYXS+\nOu7azFZqR3VtY059TPE7zFS3xIHuHonTldNaD0/9wt2V43DXU9UX5//m3qhOyRenz/HyT/DwfPff\n5OG3+2XDFEcc+u5+nvumaILMdTpLQd0MOltfSOjyHfEpnpRoZEf90nOUcNMHKkK1QfezaVCqVwuJ\nYq77ST8V98ZXItHp0xRqHETKilntbEmKBgi1TzZczMgPrSeXX6SbcGlNO71KdHONfNXvrR6UqPV7\nwvppkoYKbWApXjMv6M4c18+1pFcx655Uy+rL1OtyyfEf2U1xIt9azpOkgUf5xfGeO686Ug27fuRi\nMM9QL3ZnUq07XS4HyWfXJ8hX4lfSS7FxnONwaU9LeJOfT7idbKaaJFyuXyYuJgyfzsWOJzV3qB5v\nmXVANUX5fb8nvWk+2/hCQjWn/EP8RN+TOE5LMwbx99RFNuh+qL84jqPaUzzq09Sh+h2/NV9TH3U1\nrjGg+6Fcpn7lcnbG1MVS7bq7S/PEE95U3a5vpn5K+Nt8QPfZ6iHxsOtVT+St/oHI67r+uq4/GyWR\nSGqi/1AIZDnXm86U1PeaIz63pusNL92RS5xUeMl3wkw+kM2J08U0YdjgTZIazsTWzm190TPOp5a/\n5GOLWTqziUvKryd2KH83Nen2OP8pB1reJF8SlkUtdML5HfIHD9/yhIc3eT/33utPeT815U1OUG20\n3E/6XcwSXopdO5sGHhe/hMPppdiQ/3p+827DKeQX6XvSZ5yv00bS3fx33EU+bNZabFouzHeb/uOk\nxT9h284h9A70fCwXP+FGVPhgLvxO/aT3TVfD+4R3tvnvvpPuDZe2e9pyVapXJ5ta2syMW1/0TKvr\nzWyQ+HZzPxv/nO5X7DiObjXp9mxmIvJLfdM9T/D+JA//v+3G/wtJxe4GgVteGUDuT0rMaYOCP9dc\nYdFlTluNBKb9RlS3DkcCFE/Fp37cel4ZRNzelMwUE42B+96aLcVu2kzPCX/z09lMhOHI2MXFxcTd\ncWqYKddT/ElH2qMxaA3XPW9zWMWRtj5vc/83Saq/xMMpxxsPT51TXG4QtsTDij3tc016k+vUH4jP\nyb7jfYpp00vS+ED30nuHzfU6p8vVrWJ1fE76VY+LA3Hc/KT617Mu/+l941ldU39SD05nVL/zadNX\n3VnC7vL8FS5uOH+7OO6bn272cXnSuNjdFd3tXFcu1TN6bq4pf5J/87zmp+OWOQc5LGTb+dHqMfm2\nyf/2TBzjvru8UGyNL+g54W9+OpuJz12PT7xDMWk9sHE12XW2SEfaozFwNaQxcjHT5+/wsMP6hIff\n6j+jcBc3f1LxzLNEnnMP7XUJQ+RCQwklxGZQUOxpgHDE0BJddVHTcH64/U6H80/PaHzdHaTipTVH\nKg6b8y0RhiPKFgMXWzo/7TgCnu8aoZEfCbPeEemkOnX5mO7jKbaElzATXs07xeDu5beL48AtD1M8\nXZzdAEF354YHqkWq3cYPzifKRZcz6Qxh1XXN5cSxysuN98me3mvjQOojjhfpOeHQuqV36rfGXmNJ\nHOZwUbxdjjtdbm/aM++KYqTi7pzq6Cn/KiayO5+pP813iYtpr8unw8VnJp7x0HeJWzbcqFyqutzc\npvsbb2zml4nf3YHzyeF2Pc9hc745m64Pb2LgYut6MXGO4lW+cblAfiTMxHkUF/XD5eOGk7fYEt7E\nw1THrsd+h4ff8j+juK5+CdfFvylzxUik7Aq4EfgmURoGKgZHqGRz46MbADbETXGa+0icjtRYkk3y\n1TWn1LA2RNy+b57p/CY+86xKionzVW2R/g0Ju/W09jQnm17FO31peUz2Wh5N3bDvU6bdP3i48eFT\n/tjw8JTGyRtMU4+Ku/+0Z4PLNfcNJpItTxHm5lu6x9R/trxNOGjfk3yg2Dg/E64Uz4Zx7nk15oRB\nZdOLnvAnvad7bjjc/qdzgMNq/PtYLo6bTQ1vevN9Xt+lOqZzG2yEwXHM1K/vaf+r8wDZedLTSDZ8\n+sRm40yKz1wjXUl/+r55pvOb+MyzKikmzle1Rfrb3Sjm7drTnGx6Fe/05QkPb3Cq7u/w8Fv9ZcMt\nFJS//vrrHz9zn+6dz6qrDSiqY9qjC6T382LdJ/ms+l3TdYOF4lCb6T0l07Tlknj+qK4Zi1Q05Mf0\nneIw9bs4kM/zvIuly7tkw52/bU0bRHjOZ5dz5D8RitaL5pXe3fycOudPImi1pXFxtlVa7tJ+Zy/5\npULrDuNvFzdsNB6m3GyNlXg4cYr7dPWg+igvqA7nfodvrhNX6HvFpDWmul3+6VDk+LrFhbAQ5llf\nLnaKje4txcPpv78n7mr92vnu+in5ohg17rpP+6oTOpP2TNv6nviccpPiQLLhYpoLGhenO5mxICyf\nJlRDGy6e4rg4xdjVrKsx937ecZo3FAfllYrlDxzWAAASzklEQVTWGfmceMu919pNHKsYiZs03zec\nM59bT3BcrPrSvbtYurxLNtz529a0kfoO+ecwq+3EyxNH6ivzc+qcP67XzM/Ei2RbZcPDun/Dww5L\nWn+Fh9/ulw2pyVLzvJ9dMJTkdGBKZOYuwpEEvd8OMu48+U/7Sa9LEsLjiHEzINEzkQ0VttonYldf\nCJvqdjlDuJ1vNBxtiYNIzt0vkagTt9flmbtvGgacpHt4hbxcvbpYJv0uzppH6iMRdzvzSfIKD9M5\nx8P3WuIosp84R89TTpEOxae9pdl2PcPhbPlFdZX8neeUo+Z6w6h29BzFKA06aktzQXUTPq1L2q/Y\nyF/S03reJq/p080Ym3xx/D71Oh/InouJ6qZ40gzjuFhjuOFi58O8q6d9+zfKK1zseux9dpOvpMfx\nAeUQ4Zvn3H26Pk313+pS9aZ+QzU3bSfdhF2flS9njrs5ae7TOYww6V1N3WkO3dQW1b/mDt0T5V3C\nor43cXtdnrn71lgk2+keEk9S/k1MuuZimfQ/5eFpb35qz/wuD7/1f0bhiv+PQxBQt8817JTo1NxV\nH2GkS1f/6LwbKJLvDreLAeEnUqBz7qyz25pLkxRDJ8k31ZHiT0OUxoHOKb4NAbj8bXlC+hNZpzpJ\nedriR3pbLruz5Ot8dj67Gm/nSCC3+/+V9jvkDx7+Dh/Rnu1w4Xij1VI76+os6ad9SRI/pjrZ8Jbi\nVGybcyl25HPqCZvYtxg2riU/G/5N332l3ztfWt9UPVvZ8DlhcLYSptbXX9GV7uZwcZQzE/9AD0rn\nGo/pHjrnzqa55ykHTNnWYrK57bmull1sWk9WPOlM6tUJJ+nfcKjLj7Q3xa/1eo2Ji4XaSfVJudx6\n/NO++woPv9UvG76+vv5KjfsWl/D3mU0wxa7ds00+xUbPyS5JG2xoT7rPVsDq45Y43f6J52mMXMGm\n4nOYyKbDlmJB64qV5AnJbcjcYd/EY/PeNQ5acz65s05c801E6wg85Y6Tlm9PifV/WYiHW8NvPNua\nIe3Z5I872/aLv2g32d425OTPJkdTfJJu8jW9UxzkZxpeXPxdDiS/W0+nPS0+yWf1jbCl/pXsbHm9\n9U3Hb5u4ppze9hmyM22570te/YekOjhcfGbixDG0Z9P3XY9TH1O+b/ZPPE9jtOGnlivbem8zm4tV\n4uwpjZNT33mCfROPzXvS6dZan3G2yPaT3udyqPGwkyV3r3n4rf6nL69rP3jdz+69C7ramHvm3tR0\nCUtLolY8Tq/Dv7Gpvk4fm09TZ4pdi8GGQKdO5+f9fTs4TVF/N3ek+9NdNXLRnKKYkf+OCOi8YnLn\nN/FS3XQn6Y5THBVXavbbQYRI0OWv6kuNTO8mEfNvk9BcKg9fVx6otB4SD5PeNBg2np/22t23XHQ8\nlThcdaU4Kx6SNGSov/SO8KsvFBdXIylmKT66Lz2nGtd+4s65PHNzh8PSdNBdkm9PztB+jf2G8+i5\nzRoaE9cXEher74ojxelw8ZmJHf6NTfVVa27D87Tu+N2ddTG43xOfqZ9aw03/FPV3c0e6P92V455b\nB/UXwqb+u7qn84rJnd/ES3XTnaQ7TnFUXIkLGw+rH4mHW39IfeEVHn67XzYkZxxp6tqWIKaducfp\npqTVd5o05IMmpxYh4dY1FSqCub7x/0khKRGkhjC/O5J3RaP2HKm3+Ew9adhymIjQHUFQLBN+tdPu\nOQ0QCZuLBz2nXFAdc7/iJEkDDa0n/xrJ6jnds8H8lFR/g3yHhzfDlmuCtGfi2OJ25+kuVW/ieN1D\nZ9xAqOdSDjp/N3XscJBON+y5/pAGF6c/YUu9zfUGur80TFHv0btMPc/lC/mb+m3DTf0x9VeKF51N\ndUT2XY92c8V8dnE9XPy6fIeLb3F9nNaplpzuNMvNfJq6yAfHB/M8YWqzkmKc6xv/0xzkelqq2cSn\nLo6J8119aZycEEc4jqQYpX6Wal95pvFDu2eX3y4HHI+kfSkXVMfcrzhJCLO7A1f/rj++Cw+/3T8Q\nectMfGroqSAbyeh5d2FEjIkMdQ/hVAJOZ1X0XBomGmkrbkf+976E091PGrbSQEf6WsInX0hnw+Qa\nCdnQ8+qza7AkFGu3V++ICCARI8WVYjDxa7w1rzRGLo/JL8JOQwj52upsW3cqdPefJDTg3eJ4mHLK\n8XDip7k35anq1T3ElZrTjjebOByuiRO36BmKAXHJtodQ/CeOVDvEAY5THB9ta1d7jcuNNuApdooR\n9TXiaY0LYaZ4kU2yTbmu9+zyguLQ+r+781e5mHA0Llb9h4t34uaT6zoz8cRHuZ5qgjBQ/IhjHE53\nPy62Lo76jvAoBoqjy4V0XjERDzW+c72I8qjxpa6RuB7kfNzElWKQ+nDqV+SLnk1+Oh5OfdXV2bbu\nVF7l4bf6ywbngA4uRAKuebsA3+91TXG0y6N1lXYpG4JTe67Rz/d0NvnnYuzi68h847sjAo1DIquE\n2dkncqS40vd2zymWFH9nj3wg26kZbSWRfYqpqx3aQ/mWfHfNmp7b/dN+tePwTV8+SVzD3fLwvf9e\nJx529lzc3Z6JTe26u259Jg19xHX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"text": [
"<matplotlib.figure.Figure at 0x2b434ce27278>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Some formalization"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Definition of a *pixel* structure\n",
"\n",
"We encode a pixel in an array of size $m$, $[ p_1, p_2, \\dots, p_m ]$\n",
"\n",
"* where $i$ represents a specific sub-pixel position\n",
"\n",
"* the $i^th$ sub-pixel is black is $p_i$ is $1$ and white if $p_i$ is $0$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"show_sub_pixel([[noir, blanc, noir],\n",
" [blanc, noir, blanc], \n",
" [blanc, blanc, blanc]], title=\"[1 0 1 0 1 0 0 0 0]\")"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHbCAYAAABGCKqlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434c57c400>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## transparent superposition\n",
"\n",
"Consequently the transparent superposition can be seen as componentwise *or* operation\n",
"\n",
"\n",
"```\n",
" [1 0 1 0 ]\n",
"+ [1 1 0 0 ]\n",
"-----------------------\n",
" [1 1 1 0 ]\n",
"\n",
"```"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax0, ax1, ax2, ax3, ax4 ) = plt.subplots(ncols=5)\n",
"show_sub_pixel([[noir, blanc],\n",
" [noir, blanc]], title=\"[1 0 1 0]\", ax=ax0)\n",
"\n",
"show_text(\"+\", ax1)\n",
"\n",
"show_sub_pixel([[noir, noir],\n",
" [blanc, blanc]], title=\"[1 1 0 0]\", ax=ax2)\n",
"\n",
"show_text(\"=\", ax3)\n",
"\n",
"show_sub_pixel([[noir, noir],\n",
" [noir, blanc]], title=\"[1 1 1 0]\", ax=ax4)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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IfQAAAAgi9AEAACCI0AcAAIAgQh8AAACCCH0AAAAIIvQBAAAgiNAHAACAIEIfAAAAggh9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\nTCpwjeWQQrsAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434c6332b0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# encryption...\n",
"\n",
"How can we encode a pixel $P$ (black or white) in two pixels $Q_1$ $Q_2$ such that...\n",
"\n",
"1. $Q_1 + Q_2 \\sim P$\n",
"\n",
"2. Without having access to $Q_1$ **and** $Q_2$, we grain no knowledge on $P$\n",
"\n",
"$$\n",
" Prob(\\text{P is white} | Q_i) = Prob(\\text{P is black} | Q_i)\n",
"$$\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"$A \\sim B$ if $A$ is the same colour as $B$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## solution\n",
"\n",
"We create two sets\n",
"\n",
"$W = \\{ (r_1, l_1) , (r_2, l_2), \\dots, (r_k, l_k) \\}$\n",
"\n",
"$K = \\{ (g_1, d_1) , (g_2, d_2), \\dots, (g_k, d_k) \\}$\n",
"\n",
"such that...\n",
"\n",
"1. $r_i + l_i$ is white\n",
"\n",
"2. $g_i + d_i$ is black\n",
"\n",
"3. The cardinality of $x$ in the multiset $\\{r_1, l_1, \\dots r_k, l_k\\}$ is\n",
" the same in the multiset $\\{g_1, d_1, \\dots g_k, d_k\\}$."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# A working example"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axs = plt.subplots(ncols=14)\n",
"\n",
"pixel = lambda a, b, c, d : [[a, b], [c, d]]\n",
"w, b = blanc, noir\n",
"\n",
"show_text(\"white={ \", axs[0])\n",
"show_text(\" \", axs[1])\n",
"plot_tuple_of_pixels(pixel(w, b, w, b), pixel(w, b, w, b), axs[2:])\n",
"show_text(\",\", axs[7])\n",
"plot_tuple_of_pixels(pixel(b, w, b, w), pixel(b, w, b, w), axs[8:])\n",
"show_text(\"}\", axs[13])\n",
"\n",
"\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Gy8NL1l2E9UhV1U2T/NLK1a/d7bZnodUzy3xlllEc0BjzdrKjfH7/GDg9vIbaWg3k52fD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\nCRcAAABAW8IFAAA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"text": [
"<matplotlib.figure.Figure at 0x2b434cf88eb8>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axs = plt.subplots(ncols=14)\n",
"\n",
"pixel = lambda a, b, c, d : [[a, b], [c, d]]\n",
"w, b = blanc, noir\n",
"\n",
"show_text(\"black={ \", axs[0])\n",
"show_text(\" \", axs[1])\n",
"plot_tuple_of_pixels(pixel(w, b, w, b), pixel(b, w, b, w), axs[2:])\n",
"show_text(\",\", axs[7])\n",
"plot_tuple_of_pixels(pixel(b, w, b, w), pixel(w, b, w, b), axs[8:])\n",
"show_text(\"}\", axs[13])\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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uHYCOc/sd/kfkJJr7OXTcY9ig59E/rixflA36AMosNnY+8z7EYZj7eeQ5tCPz2YoxxtVV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\nCwAAAKAdwQIAAAB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"text": [
"<matplotlib.figure.Figure at 0x2b434b288fd0>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# An other working example"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axs = plt.subplots(ncols=14)\n",
"\n",
"pixel = lambda a, b, c, d : [[a, b], [c, d]]\n",
"w, b = blanc, noir\n",
"\n",
"show_text(\"white={ \", axs[0])\n",
"show_text(\" \", axs[1])\n",
"plot_tuple_of_pixels(pixel(w, b, b, w), pixel(w, b, b, w), axs[2:])\n",
"show_text(\",\", axs[7])\n",
"plot_tuple_of_pixels(pixel(b, w, w, b), pixel(b, w, w, b), axs[8:])\n",
"show_text(\"}\", axs[13])\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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hJesuwnqsquqGSX5p5erX7Hbbc9DqmWW+MssoDmiMeTvZcT6/fwwcDa+htlYD+YXZsB9G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\nALQlXAAAAABtCRc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"text": [
"<matplotlib.figure.Figure at 0x2b434d0f6470>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axs = plt.subplots(ncols=14)\n",
"\n",
"pixel = lambda a, b, c, d : [[a, b], [c, d]]\n",
"w, b = blanc, noir\n",
"\n",
"show_text(\"black={ \", axs[0])\n",
"show_text(\" \", axs[1])\n",
"plot_tuple_of_pixels(pixel(w, b, b, w), pixel(b, w, w, b), axs[2:])\n",
"show_text(\",\", axs[7])\n",
"plot_tuple_of_pixels(pixel(b, w, w, b), pixel(w, b, b, w), axs[8:])\n",
"show_text(\"}\", axs[13])\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x2b434d5996a0>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# A simpler working example"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axs = plt.subplots(ncols=14)\n",
"\n",
"pixel = lambda a, b : [[a, b]]\n",
"w, b = blanc, noir\n",
"\n",
"show_text(\"white={ \", axs[0])\n",
"show_text(\" \", axs[1])\n",
"plot_tuple_of_pixels(pixel(w, b), pixel(w, b), axs[2:])\n",
"show_text(\",\", axs[7])\n",
"plot_tuple_of_pixels(pixel(b, w), pixel(b, w), axs[8:])\n",
"show_text(\"}\", axs[13])"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAABC4AAAHMCAYAAAAam+mIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAA0JZwAQAAALQlXAAAAABt/X/DnEH/QHgMtwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434d6a17b8>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axs = plt.subplots(ncols=14)\n",
"\n",
"pixel = lambda a, b : [[a, b]]\n",
"w, b = blanc, noir\n",
"\n",
"show_text(\"black={ \", axs[0])\n",
"show_text(\" \", axs[1])\n",
"plot_tuple_of_pixels(pixel(w, b), pixel(b, w), axs[2:])\n",
"show_text(\",\", axs[7])\n",
"plot_tuple_of_pixels(pixel(b, w), pixel(w, b), axs[8:])\n",
"show_text(\"}\", axs[13])"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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jvGGzj9srywSLDx5+l8kY49tV9fdJbjd76tSqOnmJRRvXmJ0NceckD0hyi0zXI210m9VF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\ncJyT2YcAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434c60d400>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# A possible attack?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"# Yes!"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# the last person that shows its transparent can cheat.\n",
"\n",
"By crafting its own transparent, knowing the other transparent,\n",
"a cheater could show whatever he wants as a results"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cheated = produce_image_layer_from_real_image(\"cheatedimage.png\")\n",
"cheated_share = cheated.produce_cheated_image_from_other_share(shares[0])\n",
"\n",
"plot_matrix(cheated_share , title='crafted transparent')\n",
"\n",
"savefig(\"crafted_transparen.pdf\")\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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9nerGDZLUE9QblHvn69zvfHXi7KnN5nsadm7IJ580prTP+eMuOOoL+e16aMMz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\nSVqfE+Hdz21A6Flnd94yZ9M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n9F3CSXHc8CBhbevTDul2fOAuDq4Gbp0brtvknfZtevDx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\nP9lqeExUtt5P3PQ58dqsbGdtriw2y2nrtWmPzrecv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ZH+fD5/NlJpQf/byC+a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\nXLly5aVyh/SVK1euXLnyUvkfK8y1yJ7ICkwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434c60b1d0>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_matrix(cheated_share * shares[0], title='forge results')\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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N6pf6TFzS5ST11Uex7Da8pRzH8RmYNCy7Ak6E6khan+t7+lyF8KrthLPzzREm\nNcNUn/PjClGk+KtOOk8xI/2Ek86l3NX9qTm6mnI63Lkuf4rR+d+d1z2KVzHpe7Wbcqo2u+dOv/M/\nkfI0t1MfJn2Vnk/y2XGKq8mODzp+6nq36+fOpvO14xE9l3LW9SlhmdRAx1lOXO0RBtpn6sI20K1+\n3T0JpjuTgtw16n7uiojs1zP1XD1fi7Puc40wGYr1udpKvunein/iZxWyo34lgiLsVYc+r/EjvfW1\n7qnvt07NVadDY0Gx03i4XFQMqpfIcnIBcVhc3kk/xYFq1dWKI1LqDcpDuuhQX1XdFefksnCFSygu\nulfPEZdQrtwZ8tn5VWu11ib1tp4jH0m/2uqGWcdBii9dIKafp1xP+SGO1vPESXWP88H5mfSR3PbX\n3fvzFg2gaxLVV89S0VebevtS+3p+eotSvbpXsSp5OjsqqegTKSbiouKi2CQ8dLaLR8VGOap7aeg7\njK7R9LWLOcXS1ZjD6oazSsoX1airgeRP8o/ylC4M9bmepV5zZOr0Ul1Qz13RWWXqq9OpmKh2U44I\nR+o5x3uKr6tNZ5N8dENb8Tt+cX3udE84x+F0vN+JG65uL+HU54n7nNxqSG+hQNN6OrOlBqQbfN2w\ncWvpubPZFaEjDrdOGKrfLjZO52TQpUGWyNPp1+cTceTh9k7JriNud4YGZaqdjsTJR4eR9NNeR9zk\nr+aLCCaRcEfwXSyUGKmf0mBJ+ZnUmeth9U3PuNi4fuouAN3+ThwvJn87vnJ+u54n/13tu/w4u27w\n0WVAcaQYpzpP3KNYdK/jUpJb/bp7CzlHTtefjihI9/5cbVDzJ/1EMm5odQnpiM+RRMVNhUQ/5EeK\nIZ3rdHRkOrGdBqfiIxsdgTnScHF2+B0ut+4uMe6MEneNm8YgDXglM61hiifprfrVntuvz7rLhPqv\na+6iQTXg/NRzROJks/pQdVf9iQsIt8ZAezphd/XZDSbiL9pT9VI/aIwcF1QdKq4GlUfS4NYztF4x\nOK5XH0mfuwB0fKax6OR2f3HM4dECpM9KQFSIFFh3A3RJSLpd8jr8pNfFwZ2ny0Qi36QzidrTmE/8\n6WLexaeeJTyvwV5tOJvkSzrX1aLioFfnR6o7wtXlvhseTlKOu/5KtVN1k6S8dbXsfHWfk22XT6fH\nxVufX8HVDeXO76mv5DOtkz+p7iZconZc30/4aVIrV3wjPx3HmNzZgr3dN2m9adRblAaNbmv6PO3V\n5+7shDAVceKeAAAgAElEQVRpHxWPK3g3lHRffd36aoycuKbs7O617oIy0VHP1vMuLuTD3qtxpj3V\nTqoTl1cXV9qfGphiT3GldbevrmmvKP6Jb1pH9XPS47BUnfV9zYXrQVeXlEfCRno1jpoXlyfFoEK9\n4IaF8/XKZSMNXtLhatfx4YR7rvSs00N174Ztteu4R2NGta323PvEF66H0+DXXiK/k9zqm/RaH/5Z\n0MntpL53CXA3mSquoei8S1a6nXU3qXT7qs/1vWJ2PiR86bwKNY9rpkks3Fmy2elz7yevlA+HRSXl\nVTE5cfXh6jrpS/4QPqd7OkBI58Rnh7nLYbWX9pLvCS9JGoYuTtMzrv+nelOfO3F5nPCf7u98UntX\n6ipxjOtTx/EpblVnx2fJJ+e/ShreL+8/jW/Sqdi31FtJugGpDr3F1IR0DabJrzYmA5gwTAoqDSFn\n3/lLOhJ+jW3FpOuEn2JR151NijmRhe6jZpuSVtWlMdFYK2b10ZE++ZeGyGSYEEZ9Rmvd8HLEqNhq\nLig/qX+oljS3E1zJJ/WPaqfmVfvT1UDqA/e+4iCeSn2n7x2nKO66tvelSw7hdHxFtjSuupfek83q\nI/Ez5c2tJUwUB8VDfhI/OJ8St1ItYVy6DW8s+E2aRG9Q3Y2Izn9mtBkIV/aq/okvzp8qEyJ2ttLN\n0ekgLK5ZUgM4XwlPEpcDeuZiNK0Pl3dXc12uJvGZXChSrJMdtZVsUr5dfyX9kxi9tuYqBteP+rl7\n39nTmE3It6sPsu/2dT5frZ9Ue5OY7X2pVxIWwj/hT7ff+ZF6PeWl8znp7PJpnn0a36SdVKf2bckF\nwt1O6i1rSzcc6nO90entrb7vyLnqqPv1NRUNSfVdddP51HQuPrpW96ruSaO6RqNYurzW55MBXN9T\nnMhHR0b0Xv1OeVO8Kb8aa/2stZ9satySLarL1F9XBrTDR7VZ65r8SwO86tb3iYAJu7NL/rl+Sn3p\n7E8uSQmLrhEnOkxkW/NMtlPPUr047K6eVJeKw931SorLRFQvxdLF5yOb3YY3llMTv1b+1Yu7wdHZ\n7ubjCqXaSbc4h1vPd/tTwXU63V6nv4uZ6kqvnb4Ue423OzetBYqLs+XOpbOdDievjV1XX046/Mlf\npyfZUFzJN9Ux8TPlX/eSbvJ92ttO15VzDqOLQ7dH7Xc4Jv5oXOpa1VHXUp2lHnU6yOcJDnfOcWfV\n6eJyNfdXeqXo/XS+SU+HnwaKiqPesvZzPUv79HaTkqvPK75qU20RLopDfa04ye90Rj9rnCsO1UNr\n7tXFxvmoul3OVKfi05io/XquPnOxqxjJNyKWuo/0USPXmlM9hJfyRDpJN2FzdeV6jIT6L9Wo2lP/\nNFZOHPb9mXKr/V1jpCRMfUw9pZL6Xd+TLaer4nU8kvqQfJjWLPlNtZj60HGP41Tia9eLGscaF8pt\nmjNUB4pVe1bjq1jIT5fzj2IxaYY3lHOt/A1U15yTNJzSbYcKpZ51GLozda2edZic310jUvOq792Q\nTIXs8Lh4qN1UZ87u1NcrNvS8W+vym/ymZ1fj5nS5gdf1ywQzxeBKLJzPhCHt1f2pFwhPR+pqI3EF\n1RjVDfmVasHVRudDl/sOV+Ih109dHXT+TDFO8qF6OyyE52q8p3XYzZKE9QzfpG81pI/yf8Faa+b0\nJMn1uTvT4IrPU2Pr5+llwZFx+jwpcPI5FdkXGUhO95WBrJjTBUdtJ72JkKof04GYdCR8inFCwpPh\n5J4nQk26u9iQT2qXJNXnZFh2WNPFwOlLQ/FKX070EzZ3aaL9XV2SzxVb1TPBkeJDvkz9TRcG8sEN\nfednimXi0umlZxIb5+PLHtu8t/t191qf/1VK/ez27J80oOvnvX/Lfk9rar/qpOLohs3k1lZtkQ8T\nG+oXFWKNW92vvrpYTHRX6S479NzFluzU2NZ1wqI1prFwhFsxJeJMlxtdcwRIOqr++qO9Qnpq7VBt\n1fP6fkLkuu7qiGqvrtNeR6zqZ1djLjfaBx1HdDyg/muNXumFVEvpouKwOF50a+mC4XiI8pX8ToNU\n+7Ku057kQ4q/2naXhY43Kx5XG8QTTm79P9io74lUuyHWDbOOPPXzJKB0UyLycCSX9qgNsueKfL9e\nbbJ0gUmDhoqYZDLwrlwkkv/02RFUyg81Wcq7I5wJzi+i3+1Re8lH91z3ON2EgfSlOqh69Dzp0P37\nWcJBcXa+6Bn1M9lMfUt5cz5RLZBdlTQ8KG6qj7iG9EwvAu68rk/q3NkhvaRD93X8VWM5qT3y7ZMb\n0o4YJoM23Zr0uX52NtNwqefqZ2dnioV0ucIi0kkXFCpq+vyahpvGymFNeXdERra1ubsmcoOJ9lB9\nEKElPxVDl6dJjaULRKojxUn66VLgznV10/nf9TwNNXdhcf3b1dS099MFIMXI6aK6I+kuM+kiRUPR\ncUY3hBN+8sMNqq4HKB9OL/nu9CesilF91JqnGlLfXN4m2G71Z9Jr+X/MpAtYlUS8nzM2IFpXfKkx\npwVNxdeRg9NZcSf/UlyTPkegE/wph5P8dWddLnRvIiO1n0hCsTnsikHPOFyJsDtSqutd/dJaFy9n\nt6uDlKtUbxQrZ5v8J5sdDrVLMum5bhBVHOTntO4mA9edSzHS9an9ZGtyIej4h3B0g/Fqfp0433VP\nsm38tUBu9WfS1RkqME3qdnTvcTebqrP+qB06r0npyKq+J3uETzGSXdWpcXO4u+Ke2qUGqjZdIzui\n0SatP9VX8l+LPmFP0hGwWydsqo/iQrmotUs+dcNO19RWyi/1QhoSpDsRs/YK+erOk92Em2JXbak+\nh9XVotur8SCc7iLofKRacMOBhh3tU7tdXNy64xMXA9f79ZWGWtWte5VPKUauxzQOCb/rj65n3eca\nd7eH5Ha/7l7r4+SlW+WWKzfO+pwKUPcrLte8tMfh0YtGXdP3+zORAu1TG3Vv5xvpIV+1YLtBqY2n\nJKVnqWkJs2twbQTXWElPqp8Uv0TqhCsNZI2TyyfFblovbvAnQnF5dpcCF68Uv67PUn4cfscl1I8p\nV2Q3XSyqDcI58Y/2uzpPfDmp9UmdTi8Izl/H947Pqp2u58nfSU2r/jRzUn7cs+48ye2+SevnRHj7\nczcg9KyzW2+ZtWkVixvayaYjUZdQ0jNpCLKheqhQq+6JfvVP906JpP64oV33kP4JDh0+Xa25YbP3\nurOJHDUGjrTVhvpfn6s/ybbuSRcER5aprpx9p4t8p/qY5JHsEoHX+u/qTvGS/9RHmiuni/Skc5Nh\nWX3qsKhe4kHivDSAKJbp8uPyo3rJHg1rikV9rrGpvmpMnP1J3bo+dNyT5JbfpB3hOrKve+qr7nON\nNSVL1UFES42k77skKmbCmwZaIl9nU+MyGe7umSM+lxfSk4jSXSgmDe/yVc87wies0zwqeboYkM9p\nqLmcEPnSmU4f1YbaSHlLuKteV+/u8kB+a10QbtePSbT/qg/Oj85v53sn5LsbGlVnVzs05Kh2umGk\na5qv1K9VEq9ST3X7qL6I9zscFXfKpbPvYpbkVn9x7DiOkxKaCsEl3CWja9pkxw3iqsudT+IGeyKA\nelal89PtdzGcNGXXeJ0vLlcJ0yTXifR1vSOylHO3x9kju244Op+6enQ4pwOsw0z6q0zin+y4M84f\np7Ora9rb2epyRna6eprkM/maas3x3DReKld5V+2lAdxxgYtRxxkaw86/CUfV9SqT2hJcdlDcbkjr\nWkom7QWdqIvOTIb5hFT1zES383s6FLrLhjub7Hbk1F1Kuga9SlauKSkO0yHubLoYu5g66fBWcTVE\nuvTcJF9X7HR1eoXACXvXY4Ql1du0luis00kYnM7Olyt9nOxOhk3KedXtcE70Jv2OQ0gmcUqYyCc9\nm3R1fNrpIPuJE8Klwx661Z9Jr/V3foWx31Mz1326d//Q3q1Lz+qZNMw1yLpP17qB6bAqjq23a4zq\no66rTo1r8lvfaywpTi5uil/9JFv1ffWn+lzXqGZon7NJxEgx7fwn/Q5HrVPNt+qjOqvnnWjMtYY6\nO7pH15z9NGBdvzg7ao9supw6LqG9VZfrd7Xp8uZyTeLI3q139UvPtIfcQHZ6O0n7Uo73c7Xt+MCd\nozNUM6lnNO+Os8m3jhu7y0uVWw3pBFgDORk8RGKkQwd21eOIKmGngeQuEVo4hJ30q2ijVX/dMHbF\nNhnWZKvidpcVd7EgO9pENCx18OmgI/vu4kADX31xlw3FSXGneq3+OIJ3tlSnfnb2NQ4VUxoMroaJ\nUFM/pvqk4UYDPV1UJhcCjWP1TfGnftDn1AduIKeh7vbSHo1Veka1l+rM4eg4JPElXRJ0X8fjhJt6\nP/E55Yri1sWKYlxtkR81Dp3c/tfda+WhlAbN3rc/d+/pbDew6r7OXueHI+9uH/k+8bvqdvaSffea\n8DvfnQ9d7JzPTiY56TCTb3VN64Hik2qBcDofu8tDlaRb91zxY2I31VPal2KUbJE+h53eq36ni94n\nfbon2XDPuhqecJB77zBeOaPyRTi0w0N2Jpw+8VFtTDip6uj4TY+hsnWzb9Jb6k2JbjR081GptyW9\n9VCAdZ9LRrol6WdXxPXV2XAFsNfrK/mn71XHxktFq2enuGu8U94cVjo3ybXLj7NZY1fj4HA6exSv\nGptODwnVrSNGqm/y1eGl9+Rntef2aRzVNp2nz8nmZL/DrjomnEC2qo8dtolth6V+nuzX3qw+6cBw\nNaqfiSfcmRq/NIBTPThJdVd/NAYar3RRcPnr+idxh4tHqjOSWw7pmviO5OtrXU/FrSSt+vUG5ApZ\nB6V+ToVLONJgcsTvSIfepxtdFy8abu4S4IZ5V5zJF82HXkQcidA5F1/CrHvdEOkIQOtBcXQDSomI\n9hAeJRv1i/Lj4tVdFpxQrlScfxofwl51JAyp76expx6vtrtBpbkmjqM8VJ1Ua45LVI/2FvGWYnF5\nJz8JH8kk5rpPsREfJEw1Z2nwp5nj8FIfpv5x2EluNaTTsNtCzToNQgpISprDl8453S6Z3RAkYlSf\nVR/tc2dp2LhBQpgmt8NuONZ9qUmpTiZ4OiJVnHpW41FxUG0kbJN4kU3nk3tPfZIuB46InR21pT53\ngyH5TEPCDTuKs+ZK6667POg5HdSki4Y7xcwN9ySEXwcBSTdoiZ8mvdENxglfap4pvwkf1Zfj1Kn/\nutdhrnpd7zm5kvdbDeluUNLg0QKsZ1wgXXFVfa7ZHDk4/KSHsDmftw76rOTiyK8WfxpeV9ap+ZTE\ntOl03/5cRT8TgbrBNbGXyIfiqGddLXWE6chGc0k2dV+H3RFp1ed6x33W82rLDbx0WSB7iUTdZcHl\nwu1z8aD4OKKuWK/WLHGM6nU97/qMOKvqovx0A09tU+zcpaWe1WfEuWpPbasth4mwp1og7G7A65rm\ng2rY+Tu5XH3mw8TRN5RTi8kVApGI2++aKCVe338E1Ogn3SkR00ZMsUhx6eJEuEnnNFYJK8XUxSfF\nnvyh9QlOZ28aj8le2jPNY9I/qfPka7JH2PW94ku2na/Jrq519aZ6O+5QUT9JH53/suLT9a7jlcQ5\nqa67uLn4OH9d/hIHJb/ILul3+lS6XpzGkHxL/g7za4fErf5ZUJXqWEfkemNJ++raFpe0Dpfqcw3w\nmguBKw5XBOqXI5wJGXXEOiVdh7W7RKidrvCrva45UmzSPsWu+SX/6TVhJwz6XPe6WiOZxEztTIZ/\nR7iu3jvCJJxdrFQmA2FSz2qP/CD9LhfqT+pniqPidvWUzhAe1y+p752OjrscHo1JNxDJzzSU3Rnn\nk2LVPlFcU/sd1651w193uyAQOWrhdA1Xz2hDqc1qt0oa0NUG2e2eU8PTBUQLsfOhrhEJq32NlXtO\nMan46Ew3FKs+N+Q1VkRkbji4mFJ+VLdrcrVFPiay7i4SqjsROpGaI+lumKtOJ244uPOJxJN+9YGG\nCNW2G5ZUW/SM6kvt1r2v9Z94hTiQfCEucv2capH2O9+cfYpddwmq/Z7qQ+1MLizdUKaacZjTjFH+\ncdzR9ZPKrYb0Wj4pbk8t2m4v6Z0QPjVZGgzaTLQ/JZAGNgnt12eKxzVNsuOea7OnBnBDbjr4616X\nI/WX7Ol5HbKk39kkH2rOJ7WsJJNiQ/oSEdOgTpccxZEuOhWP85XqKdWYI+p6TgcNxUz7jur+6lBL\nPnUytU9+ki63Vn1X3BOMFWviiaRTOYDqjmqeztTnDoPjfccF1VcSqnM6r/U1rYvuckFyy193qyNX\nbm9amG4AOtIi3WTDFdF0yNJwc6SU4kAJJz0kLmZV0qCY4kq+TuKneNLwc02Q4ph8TJcLfeZqRGtO\n7TqimeSOsGh8VRJ2FyvSR7lwtUzEmi4zdLnQmHV+ES7yJQ37rn+v9FvClWpM91IunN/0LA2F6nc3\n2CinE9302cWtqwPa2+U/9WDiN9evNNjVpzQTUu7Wutk36Xoz0SBcuRG5Ww8Rin5OA5MGv7PfDYLq\niyOC+syRAuFwxOyKUJ8lEqBGVD9c7NyAVpKiuKhewqeSCI/8IBtuvbscKU5HNupH+uyG0NUhW/cl\nckyXJY1BugyoTtpX9+w15QPtA8LjfK6fyVYiSq0VGqqO3Am7+rifdYNKMaketa9+EQfoGdXtfFN8\n04GrHKLYCLfTpXtdXpwu4iqtu7pGuhJnVr+o35J/VW71Tbq7wREBOfKhonPElIYqER4VP2HV83Vd\n9yuOZJ9wqk5H1gmb89/ZSUXmcCmm6YAi/xK+veaa1MU5Ebe7KLlamNRZN1AJm4vPdJinGJPPjoDp\nstHlT89NyTgNaup9Nyhov+pSXKSrq41JHUx4oevVbi/1Scov6dI1taN5ID36Xve4fkp7Uw5cvzts\ntM/xvptJ3RCezASSWw3pKo4Q9zMtGHpWzzsCTg3ogumeE3ZdU+y0t+p2yXQXDtWbsLhB5+w7fXqW\nJMVadXQ+0ftueDgM3SBNAz49T3hVTyLIyaUl1eLknCN1yj/p60ieYkr7Jj65geyGXBpijlw1Tsn/\nNJydUN4Tb9XPnUyGRVcrdY/64/I5uZyoz4mnXb8QJmeDYpjwJD2KmXJDc8XNMY1VysethrQLfpc4\n3bfXiaypgbtBTWd1b90zucWpjUnCyY+rQzFhcAXmbNLzKW6nJ9m6ciFSsnCk7oZ2In7F2DWcu3To\nnkldp2cpZlTHiURTPNMljvzsarXudX4Qzq7W1CeXm8kli8TVpKtzwk32km7Vly4rpMvVrOqqZ8mH\nupYuEmlQaowmg57iOu1tWiOOJz9cfdU+oDNudrn6ILnVkL4SQEpQ1TMlB0c++lzxTApgOmi6va5B\ntIi7QakFRTamxZOGSLWVCKIj445QXVw68tP9+3OXv+SfG6LdGRejbkgSZrdHSSSRf5ebCZEl290w\n1cE/6aFu8KUBpnudJO6hONFZ9TvVM+nQPRNeI0yTwaQ+Um4SNudDt6fLQ8cJbo38mw58d3FJnzVu\nxMOTeKx1s784thaTbH22RZ13gaqfyU4luskArvioECbN3umlMzpUtcC6YpoWBPlF64rXYVD7qXlq\nXBNR6zl9pjmtuFKcHYZEQpOY1PcOl55Jw1dJk2KlA3xS2+mC1uVXzygO0lf3JZ1EctU/4gHtUe31\nqpt8dxcGFxcXi1RvxBXusuf4KvVbxxnkr8NJg1B1dnorjoRb9dBZ4m2yX88kXNqXFU+Nu/PXzSk3\nD1Rvklt9k17Lf0PTYeZuKZSYdJtJBU6FmYYwEURKABWtu3w4kqm4SLfinuB3MnmuvrvPhGk6GCfY\npn4S0Xd4rhJM9bfi02c0uInk6vtEkomIJmuUuynhE6bJsJ5iSZKIftIr7qyzs5+72FNPpxpJdUux\ndINYJXHIxL/uuRtwzod6rj7r7Dq/NXdX6rDbQ/yQzibd0+G85Vb/dvdxHAimI/bOWdeEKdC6n7Ck\nNVp3ftDZzlY6Q3pT87g4uoKdYE2+qh4iY8U0wZfimvCngUn+p5iROD+64ZDIhKQjRSJVh/VKz+h5\nwpXsdINFMahf7rNi7vLa4SHMV+qV9Exsp75J/k/O6bOEk+I44UHC2q1XO6Tb8YG7OLga2DonXDfJ\nO+2b9OB5nrYJbvdNWsUR/HTfvrG4W9H+3O2lG189U/VU26pf921dHXnT527f1pts637SpdgSGey9\nXUxoTfMyJSzyaTI8nZ00qDWuFXdHzPre7U3EqPbc2TS00mfFOiE550u6FFwZhF3/q89ukDp/r/pP\ntum988nllzB2FwuHxemgHJBtJxTnrauz7zATBuJixah50hrtbDufXe50TXU47kn5nOC71Z9JK/nV\n9SvDqb5PA6XqogTXxBNxEJ79zA1yfa7JV/tVf33t4kRYO/yJVBV7KqxJozt/kl8OP8Wp/pA+96zq\nVH1KtLqXLjJUTy7/1RdX1y4WjhjUZ8Je97tBSrWlvUF96mKccp56NJEv1Yfz133Ws25vh1HXaNB3\n/EQ85/LkuGYy0JJMuIF4Nemn/p9cRLrcdXU01VX5YXq5qefqM8fj2jtJbvXr7rXWuZYPQmrK7jbU\nrbk4aPGobbpp0Tna784nP8k2xcIN0RSLzn+31ulyAyaRmCM23e90JL+uxCbtI70pLi4/Kb+Eu8sv\nxdHhTHXq/Jr45vKlWFWm9TyJp/Of8E/80li4wdnFsOtdh29yOUm943qJdE3ymLC4mKhP5GvHfy5m\nJK7mUi12teT6vB22Oe+WdG41pI/yZ9KT25Uj5tcMtGnj0fu6T9dSQ9S9uufKUHfxcTpTnFzcOsLr\niMTZ74ZFjVHK92RYd4SbctH5mpq3i28XN40h6Xf7JiSZfEkxmMTH4U414nCpH10eun0UwwmJT3RN\neIh87/pzMgicTudj19Oqu+O3CTdNh/eVvnJ12GFNnKv21O5kuHeYXl5tM9/q191rff5XBmt9/Osb\nlep4DcyEcLvnTpfiTMmiBqk/+7n66QhH9+uZukbFX+26AiJ7uq4+kVR9VVdHHFXf3kvrjrjIN8ol\n6e5IzpFCteX80jOdrlonilfPUazJrykhky+Uh7pea1XjrXsoRnWf4tI4qF96xvmu69QXhI16Ovlb\nzzt+cs9cXIhjHH+QqI9pCLnzal8/a406Luz6l6Ta6Oq66wNny3Gc6k3nSVfHMUlu9RfH6CajjaD7\nqtBgScOXCpsGmxtgqjclmLA5fWpP95MfyX4ip4nv9DwN6zTYu9wR+X4RMtHPLv5uiBOm7lJScTty\nVXEkX89QLLQGOn/JH9rb1b7rq87G5JKgdeaGLeHUntb8km3CoJid3mSD8tIR8iSfqXcolq6X6WKS\neMJxmErHLTpsyWeqb8cdpINmRxrkDj/ZpzPUJ3oJ03POH5VbDem18qDTgNPNqkoaxiQuYBR81yxX\nhlIaxMmO6iG8qeCJSLpBnsje+a/2uqHgiM75Ninwbh/lzOHTWqL8dYRH8XUD18XBDS6H20mqL5c7\nNyCd/2rnymXC2XC+Tf122JwPjl9oKOi5+sz1meJRXG4ATOo6XTzoPfnW5Ubt1mdXcqL7JhcVigNh\nT7WXhjKtTQftZN+I46eBews5Xv5M+kqCJ4PlyrBz5OcCPhlmDr8rhCRujysetyfFs+5NROTsTnyc\nFrXqnV6SpjgUMzXk1R5xdTetmVT/V+pSdU7y6PYlwpq+ki9TQr4Su64eXTynF4iudqd+JsxdPMmf\nSYxTfpOtSWycj91g+6K43R6KT+Lbaf/oOtmhWFUBXrHEf8shvVY/UNIwS0M7FRLtI5uJIPVzR/ip\naSeFqdjJz4ntjqSm8ZgQSSLvboAS1mnMXM1MBmB3ZuKDIwyVKRGTj6Rj6jfhf20NVgzJn4nvk/yk\nGr8yqB3+zg7563yZ9gBh+CJcqPpTfpO/CUvFTH4Tvq7X3ec0cK/gc8877kg+TmpU8mCTeLtfd2/R\noGhguyKr5/c+DdJkuFVdiTw6QkoNrOtdsak/NFw7wnIk3jVj0uviOiECxUHnuvyTDofbxYJ8nzR/\nzYUjcpdflwuN63TguP1TstH97pzrEfJhQuwOY8odxdT1g/o1IVDn86Q+Eg/oc60fle5CQfZUv+J3\nflDdOtvpgtBdNiaXC4dfMU04k3whLF3du15PnKq5dZxLcru/3V3FFVltsOS4G9pbJkVCyXUNoPtq\nMyaSoXWn2w20TtxQJwx0pq5pTDTO9J6azO3rcluf6V4a5rrm9KThVn8cwWtMUkwdFoqrG+waM6o5\n0pkwkD9pCBFxUwzo80Qq1tRD1V/tE0fAbojWtVTrrr9Jp3ueeCldqKYkr/2oz6jH6b32B9lPeXJD\nky5g5APhUt0pB46vFSNhTxerKh03ap9Oufy2Q1pvKKkoU9Ml/Xtfd7uj4Dr9RGhqI10eUlETVi0e\nLeSuEFIDpLUaDx2YVZ8r+uRnV+Apdo5sJuIuColMHek7PGRDc6miQ2ivEW7FrPtSzAhDGjBOXA6r\nP6QrxUH7X/tK65EInPquxpZIV/vH5TPJ5NLSDZNueJFvylepRjUGqc8Im+ZObXc1MKlTik3SS2c0\n705XulQ4LG5/qsOJ3OrPpNda56ShieDqeyqYjwwFwksxSYPJFS75Qbr0mep1FwDak+Li8Dh/Vb97\nr0L7yHfFSM/Jb9rraoPOJWyT/d1w6fJKGDVuCYfuTfsSTtI30TmpIUdGqSZdDVdM+l4xK35nf4Kl\nI/HX1K2rUbdfbaXcdPXa2aiSOEr3qc76OWGZcOMUo/o0qX9Xfw5bdy71ZOAtO7VvPaSvEnvds99/\nTnlD4On8hMhdoU6JryPcThzZu+d1Tzf0qNicr1eGTiI12tvpVL+7BnFxIfxVZ8I6kVRjaRBNLiCp\nDrqcTglnkm8653S7c04mNXnFllurPk4GsbM/eT7lEJVpbBMfOnvu8uLs1zVnp667852OlPupTdJ1\nlccc1rreYX05Y4vpdr/uPs/8K5fqoDpOe7ZO1U/kl8jRYSX9hE1x1SJIvqlfdKauKx7C7IqL/O6a\nzdWMxGQAACAASURBVK1NLhdawPXH6XY+aXNNznV1onu1OR0xqf/OL/W7y4XqVn1a192gSHVFNTDt\nr6oz5ZBiWvVoP6Scaux1/2SAq/3u0kS5SL4lvnED0vnpnut5yg3VW7pIdUOU4p16ONV7fU/17XiF\nap44heJC9lWvPq8+Ezaq/wknkdxuSK/lE7Q/a+DdgJoSPjXYdEAn7Iqh7ul0pWKkW18ilbrWDRrF\nmOJMZEX7FFOyN40NkZw2sw6hq3mptnT4JIyOfDrSpdzSsKE1N6DVliPN+toN7TTUaFiqrzSQHVZ6\nT3sUP/lFmClXLk+JdGkodH2TcCj+yYUlrVEPJDwa1ysXteSX9q6rWe0FrYV0WekGOZ1JuFMdTWzR\nRWGiY8vthrQb0OnWtffW8xMyJV1kT29N+qO4HanXZDm/FGe6aBAJ0PmuscgH94ximwjMEQrhJB+r\nDY1dfab4VSftTbgSeXQ51MuCYqNB5oaPuxwQedGr6qT6cbFy5FTxux7QeKgfSlqUj0TE1X7F2NUA\n5cDVAQ179ZX6QHuefNDcp4sLnXM9PuGEyTB39ag46hmnPw0pjamrz+Sr7tcZ4HJSc+DsKbdRb7pz\nKeZpaKvcakgT0RPh1f1r9Q3oCqhLGhXMpJnSoOkuDl3BOwxKlpOiSIPKDR6y7+xoc6YLBjWRrjm8\nKd77leqq84N0kA31OYkOeVfD6gPFknqDBoqecQRPl4C97gZWqivVq76rv5THjpDdxcMRJA1VOkf5\n7uqm+qd+0YUkDUIaWLSf9NAgcXjpfdXl9lUfki2qI60BwuRqKOUg8Z7GVodureeKg3qL6snVaTeL\nJoP6VkO6BoqSQ0mgYlZddZ8jFxrwRKaucZzdlIQ0dPbzNJyocCckrbbSMHW4KgZHZo6kFT/FymFy\nDT4ZfI643aDRs9OLT91POVBx9Z6e6zM33BSrIzKHh0gu4dRXd65+Tj2gtXuln9JFYOIP9RfVvnIM\nYdKe0BjREOkG7NULDJ1VH1WHPtfB3J1NfUb96PbTsFdcrs+1JylW9bnjP7eueqouihk9S3Krv919\nHMepgaSB5QpUk0EET+RHNmh/OuPOq/0JVvLT4W/iaf1I51Nju9jSXrWT4ubspPMJ32S96pzk3K3R\n+0mduPeE1+lOMaLY1nUaWKlWCYd7rrpeU7dkc7KmPna+uTpMPiRfOrspR0mvw9PVb4e1Pk+57J6T\nnan+hGuyn864+p5ytNN/ZS5M1l7O20l9uyG9lv8WSJ/dmkoiio5UyV7a2+3XM9O9qfm7YZMuLp10\n2NOwaAoT41XFDaZEONOamcQsxcMR0JTQu3rrfEz2nThi1+cTSSSU9rs1l9sp+SUfUj+k/k25TPHu\nhh3ZuHoxSD3nfOw4hHxMXNRdkpy+bnjSfud7xzEdTya8Sab908Xr5ZltvNv9ulvlOPjPJVNT6WsN\nUhroVX/d05GA6iSir7qpUCrOpEvXHS7XwITZ+UzralPjnc44zBWb5q2KFrtiJWxu8FL+NR/kh+Lo\nhHzVPDmCcufc3nTGkRzhqD/OJ63rqkf31H1Jf8KUalTPdDXUxZowUYwpltTTKlQD6q/WGOlRXyie\nbtC/Rhwfkq+aa8Kue+t6GmgdNuV6FxfyyfUS2er8mPDDRG41pNNtYz/fnx0p63NqBrKp+tMZZ4MG\nL/nS4VRfiOwcPtLvLhFd7Mi+2qS96YzGqtunOFXcsNQLEQnVkV5qXktwjkAnzUvDJ9nZZ+r5+my/\nT4M91Sv5RPGtuZ+Q5cY6JTTqhdS76jv1p2Ih3a5WHYb6nuq+qwWKa91Plz21O71M6F767C5D6bLU\n5UXrhz7vcw6ri0+XV+erw6M66mcd8onHVdKzz9n6sqb9lyFH+V9VbpkEnIjfvep+1T0tEF13+rv3\nzpfXrie/9H33/Mqlifx2BFT3qN6Ug8nQpFxM6yD5fiUPWieTuiR8FLO0fjVO5KfTR/Gp+xV3129O\nd8KhvnV+dnhcLFQSv6Q9yW46q89JXJymfJ56TzERTqfzaoxdbhVTV3tJXB93tTyJx6QGUnzKHuvE\nrb5J081IbzPp9kHPaX8acFuH21/x0Nl6viMQTbDip4KqumuiNWaETePgcFUszrbbX9erX8lexTjN\n18biBpfqq8+oYd2zelafUcPV+GjdahxoX7Kn56hONVfus4sZ2VBcaqv6p/nWfqB6SP1EthSXqxm1\np7YT4RKuFCf9THsneUw1nXQnXA6jcobaVZ5xa50QRxBnKCZadxxPdd7xkfJ1mi1bqL6dLzS7KBdd\nLG81pLfogOiaSYPsmmlScInUVTp7FVs6k4iThiUV6oRknFDxOEwUEypwbQAnbg/hcU1Ajelyp4OU\nGtwNZBdrVwfu4kSYqe4cIWqM0w/pcQRY91K8J366OGm8u1iSjyqayypd7RGnpJoh/6mHXc6dPjeA\nnQ3tfR2ALlbKJzSQuoHhhnm6kLgz7qz6nbifLiLpcpJEB3ddp5grNspNlfrc9YKTHz324g0kkR8R\nKAkVUFpzhEJk7gar7iP8ZKu7MFS8zhfnNz3XgU9Fn4qLxPmmBJTi1emnmHY+dwPG+dntTfWSBqr6\n6mpA9TlScjbcWdpHZ5xMCNLVt7NFA4b6LtmnYXAFG/mT9nX5UG5xw5F8JR1qM+1TP109T+oqxai7\nzFBvu7p0z2hYd3xa/Xbzguw4fygWqsvlycXYXSISl932m3T96QakrlVJROiK0A3d/VmTr+fSsHP6\nyZ4WqCNf50tH9OrHlLwS3hQDlwc66/Ylv1NOqXnJfrJX5apv+qy7RCjuiq/inNQz1YASjA4XWt/P\nnA9URy5vul/FYUh5SYOeBgrFU2NDcVIcNBB1Lw0RxwFO3PDucjnpnW5oqz2122EnXI4jJ/EhnnHD\nmfhTe0r9onxqvdTe1Ji6/k7xdHKrb9JrfXyD1YanwZMKse5JaxSo1OQqaSASmZFf9N7pIVJ1ZJz8\n0+eumIjYSZeuUSwcnvqcdDg79eze42okEZ3a6wgonaXnFT8RaconkZfDltZoILl9k1jrPhf3FMtE\nbO4SRUK6J/2QLmhE4PXV9Tz5o3nTXDqecL5d1aFDil7J1pRzu0uHq2t9T8Mu1aLzNz0jO53f6Tlx\nOsWC9nS+3eqbNAXD3WjUUd2vZ4ig6VwqeAq4G36p8ffnNBBTUziS1mHaFQ0VYS1cF1siB9pfcagP\nbo+LLZ0lXNV/xenqi0iB9BHeupfOppwlolS8ms/6nOKs+9MAUlxaN+5yQM9SzWpuna+6nyTFIxF8\n6kNXBxofxaFxcvVRcTtRv5ULHDckjHrOcY8bWDRMtC+cLdKf/HB9SOLy5mpC6zHVoeObhMsNcdcb\nXS1sudWQ3jIl6FSs+lxJjPZcGT5pXc91ya7JpOKm4dthqf4oaafmmfhMhUxDovN760uDstNLsSIh\n/ZTnRD51n9OpuKnm6h538XGvDkfVqb6QzYled7Y+o4tJ/UwxoIFNMXD6qVfos+J2dUvSDXPyg3S4\nmkt1Ue25uqLLEcWynlPs5Jvud+Li7HpHcbthl4Z2qsskpF/7wO3fn1P+0uVMuVd9mcgth/RaucHT\nZz3fDdy61z13QoWWhqnbT/iTD3u/2lTdXfHqnlT8WmBEgnufEkB978hFpRsk1S5dPhxJ6cAn+138\nXF3R0EgXOXcpccRHly7CUM9N4+FwKsGovu7CNL0sEE6n3xGfxqi7AJHfFAPFV1+Tj+65XjTUVsWv\n9a266lp91g0CNzRcvKv/bq+uu7i7C4LjB8XTDVHX6xSnqk/jrGcJg6ulZE+fdzx9uz+TdoFyg2oL\nJccVttrRvY4cqDkqGZIOOuv8TaREg9HFb9tLcXWDSXVPY5r0UYGnYTUpXEcwk8GkfjgyVjyUq6Qj\nkUC1o3rcgHHxcf3h6rPTR8OjG5wOy2Q/Ser/VNuk25G+s++GVjpHfedqjz5rrvRZ3aPrirnu1VxO\nY5fiWW0TL9C62ur4nIZhsq/YKQ6ke8q5CRtxQfeM+N7J7Yb0Wn0yryZ6YoeGjTZqGgAOo64pNirC\nzi/SP2kSwkJDuIuvGzqp6KdCDabr3bDtBlCH94vmltYTwVDtpWdk70p9uKG99bjLRH2ukghnMpCo\nbskX1yPuOeFyRFrfd+RNtt3Q7GrKETzpoVi5eDib07pwr4ol4XIy4fbE5R2/pRni+k/tT31JPJn4\nZ6z/Kol+xXJ2RJ9uHo5cJjcc1VPPqm1HmK5Y3eCc3KIqVn1PfkyIzxGZw5fiWvVobLrhly4jifBT\nLKp0ZEy+6LmODDrC7Ei2I/akh7B0hOt8mfiq+hRbukg40q/yWv8nQ8X5SninsUl93eFJlwjFMO3N\nK/1FPqc+UKwdhyTck/rperzjh+m5VJfTWur0EAaInx0Gt/0z6S31RrI/12euqGqAalDoFuMIqQbS\nFWfXbEmvw+Fw1XXXtPpa8es5wk0+OF0aZ91L+FOMqs6K1eGuzygGdJ72Jt0ddleD+ll9U3uJxPVz\njft+7wZalWmeqw215YhaY6q+UVzTUNez094iIVxUt5qnFC8i7dSvadDXGu78SHWsWNNQod51w5Oe\nuVp2rxOu1bg7PMQPzoaLK63XPLm54mKnQvXvaqrL+62GdLrl6B4iizRwHNGQXSUo1a+6qBmpwNQW\nFTgVWoqB4uiagXBXoYGhzx1W5yMNKCeuoKsujUU3pGiokY6k15G7PnNDTGORiLkbZvrMkROtTYYz\n2XG+VR2pHlIvdpKGTcWdSDf5RTodBtXZcdNkuOszqpukt6sTN9j1TNfztWaplp1dN9QID2GmV401\n1aO+KjfTRYMwu75RH9KQd5J0f3Z+0iRvJcdxnGkY7TVqsL2va5zJ8HT7v2jg3RCb2KFCSMMgNaKe\n6YhmqiPFV89qXLp4pQGRcE0kYZzEPWHocKRhNz2f6iDpcPgnw81JlwPF63rxas93+Fydkzi/XX1T\nzFxeXM+45ykeLi7dpeSLcs2El6f8kfggXSA6/BqT1+JNcXS6Saerm/LZFuSt/uKYa6IJSdZbUddg\nrrCrkM1q1+mselNDKk4qVucP7e/86ppYcaeY0/nUkI5sEtaUj1QHFfOElKdk55ou2Ug263OtC3eW\nbBJWwjAdgM4G9YDacbEgne69+qJ5TMTq8Dh/Ks5Jzeqrw096Jz1MWJOfXR0Qx7heST5Tf7jLRIfb\n9c/VIZ8uIm5PGuzEd8Tzaqvj/i7ern6r3GpIp8YmQqufUzNsffWV9LlEuYE4Ic3JoE7F5PyeEIPi\ndfFJpNwVene5cMM0xWY6jKhxpgPcYaZnHWbClvZezYH6kS4MrgacXWfvqg/dIE0DmvJ5tZ+dL67m\nqu40ZFwsyFfS6Xxwse76iXxzuUh8kPQncQMu2abYOG6ZDjV3ceh41OFWnYkrVKqdjpdTjzu51Z9J\nr5V/NbSfH0f+l37cemqWREKOgKiRJ4XuiH3iR8WZiHI/n5Cqrrvi1rNUfB3ZKCZqykR4qkvfp3hS\nY+s5xaj+ubMat0nzuRy42CkWd4lRHZTTNEyUFJ2/qTZ1TW1QXV7tA9dvlL8rA9pdMlxNUG9N8RFp\n67quuUHUXQx0Pw0hrV0aZORvN5zSwHOxJNuK0Q3rqpt4pntfP6d+mNQ2xTTZVbnVN+nuhqj7ttAQ\np73dzZMwOLtuKNGeK/64oiLiqfY7AkpNmS4pRFKdTUdaTpez50T92u8d8VGDUZwmQ4+wEZkk8qd1\nN7TcM42Tq5fJZUH9Jb2pPvQ5YXEYu0GfCHivq22qibqfPusZF7eOgFU6PlGd6UJB+qgv037Clmyr\n7xNfSbfzo9OdeDDxAA1U1eewJ93dDOlmj/qr70lu9xfH1uqJHs6t7tx+T2e1IRLxUIG6Pd0gd41I\nuCf7k233jHxxsaGYUOxJh/MlEQvpoj2qt9OffHa+T4YG+eiGjrMxbWYXN5Iubsl3R1zOTxcb0p9q\nSM8nf68OJ+dj6osqV3qN/HJnEr7EAa+Ju2KjGk3+TX10Ne5q3dnvcunsXq11xxWup69wVVPrtuhu\n9016rTyw9nNXSGmQ6fnuNkMJIf362g0FJx3hEzang85PLwX7+eRSQPur7cnQTE2h+ieXg4pN19IQ\ncPZr7KoviXydJMJNQ0hxKoaO+Min4/C/upwM9lr304Gn+qcXG+cvScpBimXtk47k3UDs/Ek5J5+6\ni4d7T1iqzf2+467JANPnbl9XUxOO6y4KuicN9q7/6Lzr/zQ7aG/q2Y+wdhveWM5EKlVcE02DrToo\nYW4fkZLacrgJA51LZ1MjTMgrXQC6Z10eugGqZyaN4nyckHEiwcmzqzmhNbqkVIwTH18zLLoaJr87\nG1d6xfml0vUAYSbfJ4M1ccMkHxNc6perV4c/Ybm6t6s9F9dukEx4b8JPk/ip78lnsjXpl05nqqOu\nV4az4NP4Jq1SnVRHu5uLrqWbXjeIukGregm37nVnq71UBK4YuiLU+HW+JnJ3ehJpVvwd4UyGint+\nZSA7rA7bhHw0Jh2p6t50Cal+dHlW3I64U65UL60n+4Sj+lx1dtir6DnCovaoJrbu1OcuTt1QSlho\nnWQSn8Qf9X3XE67/9XPi0LQ2sd/1acI7wZ5wVNzEM/pZ+d75OcHg5FZ/u9s1mA4CN/jSENG9alOT\nT82fLgL1c91XcbiB6Bq86nIDOBF+xU7kQj46Iq0xmBAwxc2dUXuToUg2dG8iN9eY5B/VW/1RmQxP\nutTUPa6udD/hTBcGF1Onk+xqrCYxc31MQ9LVoKsXxeJwuAHXve+GAeUyxVOxdMM9kbnq08FRz1ON\n63vnK+m8wrGJI9VOV9/1feKwNHy13rQuuiGr8SP/uvw6nlC51ZBW0JpM10i6pkONGjXdbtJAJXtE\nLlR8SkiK0/nSJd0NH30/kRRnHXqdnq6hE8G64ZeaWMmGBv/GM6mfNIgp112NJNLQenUk1PlB+2rc\nqO6p1q4MsE6oZmhgE17SVXG7uHVcQjlzA9nVpbs8kG9Uk/qa+uU1fEX8pPlO+XMxcz7quup3PE4D\nj2rAvU9863hk73E+u95Xu+6ZYqBYTLn5VkNaxSUzrXWEObnd7OddMTvSJR2KSYcANWUiUfXL2U+D\nnXTXZ4rVNTnpcAVIQyUNzBofalolD8VBdlysnWjDJzJypFXFrVEtUNwdRn3vhliKKWGc4LhCqF29\npgtKqq9EoJQP9V9z52KqtigW1R83MB3OxAF1vb53A9FhU13UhzRUutyQHuUTF7vUn+qT40I95zhc\n40Of6X3CXW26OqFa6OS2f3FMG6hzzBWzPqdzCAQKozunTTXFmi4frpjo7NQXKiqnJ2Fzdh2RE7kQ\nRvIrEZXTTTWUsCd8KR6dEJ6EJZF6V1tVV1cn3eB1deP6KvWg8590pxyk2BB2fZ6wE+YUE7fX5ezK\ne4oZ6ez0uQGnsUjrTiZ4dV1xki8u/l29OuzTGk0+OD0ah6v8WM5YIrnVN2nnYFrfMimsdJuqtzK9\nDemZfa7urzjSYNdnakv302vnV8XUEa2uJ/KhAq/7qWjrD/me8kbFX3WpDn1Gumq8NI/qu8thFd1D\n/qWhemUIuR6ouesGQKp/ZyNhdvWgurS3OiLscFV/qQYoHnqu84dw6LNJfJIuqhFXE447dG/VnXAR\nh9Z1V1/EN3UPDT3d6/pGcek6+VFfFYs+03XCkbhC7TvOII5xQ72TW/3tbkpIuhnVIGjB732qYxqY\njjyqfmoe3UO+OVuOYOlzR/KEOw3G9HwSO0c0acDTftKVmo7ISYeQGyAar44MKb40eNx71ePqJ9W0\nisY3xVuJhM5RnDrypXilenG1rZgSL1C+SNxg6HqLhmj1i+qk6xPywdVO6gvFnGqD/Hb+pGHkdCSs\nk7qrPiecqofWq6400FPune0qLkfkr8M4kVsNaXKGSLCKFolrKkcAartrnKqr7nc6dA/hcTo7EnGk\n3xV6N5SczRpbatAuB4TbDbiNQy8YdV3zSXtVD+WT/Hb6lGgUj+oie1dy6MjR+aFE5GppQkD1nLts\nUH9qbdA+5383gFxvuX3kO/UeYXA8kS4NupZs0Nnqg+Kh/JGt5BP5QnXrMCWfJmtUVxPdjp/1ebXp\napX2O+nmjWJK5x32Tm716+5NipS4RMRK1t1Ar7aIUPR9wkv4HQG4BDtCU3FYaV99dfb0sxZUtTXB\nk3DrK+WoI9MUU5I0oGotuZi6ptOzVJsprul58kXrij6TdAOti8WkLuvervc27vqjeq7mXfEnH1K8\n3bAjsk8XsO6SQM+0thR3N7gcN9bXqsv1Thp++pz2qD+EIenscFFtpfPOLtXQfnVc6HwhbnbcluYO\nye2+SVMzuIJ1xOT2KymRXXcjU331LO0jW9rcShhabO6yoXYVq77qPio0LUQXV0c2FBM662y4mKqO\n/Vxz4cgs5dPVgWtAV0fdkO3iNiEoNyBd3dXPaWCk2k++d8OL9NT9zp+Kk/ZN9Lg6qZzhdKZcq37y\nsbvE0D4dDhTHVO+63sWj4wkX45TXlAfFNxnW6QKkut1+fU8xICF/HSc5fnF91vUbye2+SVfyJkLv\nBgztr8Fxt5y61+1z+1WcHjcgqGgS2aZCoeJzPtcfd0Y/T4c55YRE91LM6HwaKPq5+jgh227wKKlO\n/NTniRQVy6QPtG/cZcMNCIdBfa3vCU89V/e4GLna7fCoXxoD9c0RPuXB9QnZVEzV58Q5iq/i1PxQ\njrpcaowp5m5Aa79obKjvXb0lXysGFeq5CfdUW+612iW+0ZhSLepad/kgbNNhfav/BOt4+b9grZXJ\nY0KMeqOZBJH20pB1pK34UiMrwaeid01KrxqTq9h0b9rjYpQkxVf9ruLyQGddHJxtxUbvSUfy1WHq\ndKWYupipL1M/3Nm6PolfypdicvoTDves6/GEv7ucOAwdYbueTvVL9roae61fk1yRjYSvu3xM+7Lz\nj/A7+25tkgfynZ453XWf8x1q1Q6nW32TdlIDS8HQm8/em8in/iSpNqvO6fm9Z9tXHQ5XXa8Fk3yn\nvapH8dcz+qo2EnFWf+rPPkfkkMTllGzVz9We852w1n3UzBNiJfyKSXVpzOtzekYY1Y6eSeRPtdn5\n6y4EhNHhIL9Ip9qqGJ1o7Xck7LBRrxAmIn5nt+roaofwEhdQ7dN6PZdqh/wibC4+7jzV2WsGcH3V\neqC6pTjUs8QDGpv9XnvE1Y6L2WvkVkOaiscl0AVCC5SaWgfJ5HZF5EQ/6o++TwnTBkuFoBhSbKjQ\nSJ9iVMIlv91FQ23TYHL4FBMNOMVMa0pISp7pWcKUhrUSkdqjeKgeImKNSRdH3V9f6bkjI/Ijkbbb\nn4YrDRjyiUifLhl1j/b2XnPE7fRPB2/VQTVLXOMGaxrkhLe7vLgzzlcadk6X25v6JA1Th5EGvYrr\nLboY6LPkq/KF1ibxi+sr1ZvkVkN6rfxtTm9MXaAnUpPmCisNSj1Hxa7+aWNW+9Mhkfwl/I48k28k\nrqkS0dJ+1eMaRIu6w0mXAbJJdeZqYZLfru6othxhVIwdkdV1iqHWm9aB+pHsETFqHTvf0rDT2CSy\nTENXY5Z6SbFqbbpYTl5rL7s+pty7/a6eNQ7EE1c4bcJDV/zRmKhtquWkh/okcaO+pgsI1bGLQ8VK\nn1NPp/NObvW3u7e4ZBB5U5FSYtztpu6v513Bu9uT7iW9ukZDgwapiwM1QF13F55uMCSSpCE1iWnC\nSxg62yqOcKZD3tWHyxcNL2fL5SyRaGefYuHipgOI+sH5TfpcrnUPDRaXv86W6ptccBLR0wXlyhAg\nzMo1nT3S5zgm8U436FztOLt1WFP+6h5Xh2lYpxi4CxL5Sbo7bO5y5GJB5xwPpbpOM6Eb6rf7Ju1u\njPUzrXfDkggzEQaRmFuvheWKSouPMKovXXFNfKg/1KxEehpPFzuHQ9+nAeRIoOKgIUd706B2Z9SW\n4qP3kyFFA90R6yQGFO/96urKDcjJMCI9+zPFxe1xFxs6W/OtkgZPjdFVUlecrlZ0jXya2Fa+UL1u\noKY+7nBO8524pJ7rYlT3UYwVW91DnFT3kQ963nG0Pu/mjOp2syDFivRoLDo9txrSSiyUpHQj2+v6\nPiWq2k0Bo8LU9YSl2qHhW310FwDC64i/7tM1Kl59Tn7QUK3vXXyrHopdir3mnc4mcaRHg2syWCk/\neobsElk5P1xcyNcpaVK903OKtfqrQ1X1OrxpryNghy2RLg0FzVu6LKguR+xOX7owdPXqhr5Kd1lK\nXEB1SRzoOI9qyeWScu70kB8Vm+MmysmkFim+xM0a0wkHki9UI4TtI0zdFH9jOddih906NUvnvO7T\nva75yHbdX587PPTc2XXPnaTLQyK1ZDsR2vRZ8oNymd5XSTHXdRcvl8N0hmwTzlSLHU5Xo9M8Omxd\n/Uz6aZLPVAPkm55xz5wvk4Hm4vJlnKdYdGvJl64W9GzXi4p12k+EmTCoDtKT6sFhUf9dXU2eOT+m\nuUm9Tvq654LRNubthrRr5GmQJ8PGEe2EeNzzNFQ6cuiauiN6R6oVy6QBU7E6XK8hn+lQ7YZsF6tu\n0KnuZK+7dEx0TYg+1ciEzMhHXbuSw05SzV/ts7qH7LtLRhoend+T3lDbk5ojO4ov+ZGGgNMxHbyp\nRyb9PIkr4UkD+ovwhJPks+KazBSyPeE4wgQ2rDO3+3X3Wr6B1MH9k3SlRqeinl5aNr5EKnWf4k6F\ndnUQ6jkikHpGz9U91acaX9pPn+uZlJuKQeOoeJN91aN2FJOukz2nr66lS9jOWa0RIvluYKvUmtfz\niUjI9+QfYdPaSPVEovFNOSeclRMcBvXX4dI8VaG+dkOjnlHbqV/IN6fL+UU+kS/Vvht2mnM9k3jG\nDSjikHqe9HeDzQ10V0/U9xQn1akc0PG14tQ1l196TnK7b9LTjY7g3ICvz+m8uyAQuaYBQliS3jSE\nr8bA+U24us+dDrVbfXSYXJMlDI4gEz7yK+EnH7rc6bmJz1d9TD5R7bj4urMpbs6Wq51EgK7Gul6b\nXwAAIABJREFUJ3Wf9rgamMY96U25cnucb1f6TXVMa47EnbvKF3pGpfOv2zupDffsKldWHa6+O35K\nOjtMIeZ2+t9qSB/wz4KWZx+tp1tN1ZMahmztZ4nE1Ua3LyV7giXZnpC6s+MGbDfM61rXuMmXrknd\nkEnxUFsJ2+QikGx1xEf7ukuNnkuv6utrB4SrE4eT9pGkurxid+IP6U94pv2fai9dfK7qIP/Jp0lP\nT4Zf6kGHTzEm6eo7nekuQF+kbup+ymPCPo3rdP9kSN/yv5NW6QbEaxO7n5FeOrPfu+JOA5SKsyaq\n7nGDLN34nF7yizDq/q5IKUaKyxEO2XCSCK07Q7Z3HPXZ1Hd9T+STcLoa0ZhWPVfyTD6nNedjXXP1\nRHonBKr73HPSnWKfamMy3FWX9kzKQ1ffbphrXU8GotYF1YwT6n/FR7a7Wkt2Uy26Ie6412Elf7oL\nVa1tynV3Sep4wOmZ8tiWW/2Z9Fp+YG3RwOprKmqno/4kUp6SpysuhzEN+qrH3dg6Ir9aFISjFrCL\nCxEAEbs2CO2ta6nJu0Ym27pONaV2HYlNLwQVL+Uy6ajvVU9d13pwvUCfU01WvM5fNzBSbWisKc8O\nnz53pJz6pu6d1gf54HKZBpDq0fXat5Rnl/N6nvovcSUNHfKtu1CobsevetblmISG+PQipkIzh+qd\n+I54g+yTrqnc6pt0Ilm3tyMBvQFRwbnicYWezlchYqDiInJJCaXmSLfERFJqgxrQ+UH6CEuKsSNJ\nyq9rJGoW1UGXCdVB/mr80lDS/RQXNwy7eNd18r2rYZXJcFH7rsY0N8l/91z3uUHgakuxu7hVPY5w\nXb1SvVFNOhz02fW700t6Um93HEQ4KS+pP5yve617XjG5XBI/uFyniwBdbJzuLiYd76e8XRnSt/sm\nXYNGQ7I2V2rUlFS11w0ewpIKVUlzUnxuEDvCIh9dYemgS/YUT/U76a54Jvo7feqPO1dF9ztycHXg\nfFWM9XOqC7qMOKF4dRcCN/RdvThf0qCtZ11var3X811f7jWKW3qm+pxfdV3zmvgjDTHiJfLZxZD8\nUBxp8Dv/KeYVu+ZPxQ073e98p+dukCVfqY6I+yhm2pN6Xm12Q5beu4uCcpSroYpzMqxvN6RJJs3Y\n3baI5LV4qfjcMK76NSlpsBIppAFZsemrxoaGnhaLi6UjKRU34NRWfdY1+MROakY34BzpOPtpkFKt\n6HoiU6czDVK11RGn4nKfUy9pHGhYJKEadINkQlBax0Ta3XBJea17NFYup84HqgsaXsRXLh4p5i4G\nFU99rTFMeUpDhPqZhIZX1U3402fXc9UG5bnLu3JyulS4s06v40q6hCS55ZCmQnfJdgWTGpfWKQlu\n2Doy1jUdsi4h7oLgRBs8DUZ3A6Shp0SofhNp6SVAY9ANrukAp/NuENE5ihHpJf9IV3c++eJ0Vr+q\nDncxSLGni5zidjlw9UjrHVGpzy4f5FPKK9lzdmhYuaFLBEoDvGLVPKSap56jXprWHdWAq0HlJoof\n+ehiQXqcjnSJ6PLr7NFM0P2aF/KDBirlNeF2faD+u9gmueWQdkSiDrqiS7c9R4rp5kPvKcnUQKrL\nFX1XKNr8rsjSwE+DRWPuME0/O6zprAoNYXrW5c35quvkQ9JT97sLgsOvdvYrDd008BVTt48GS7Xn\n8LkLQ8VIemh4OaFec32p+vd7xUxY07DW924wqi7VSQPfxV3jQhyRRH2q69U2+UBDo7vMqKQ+6fLn\nYqqcWvd29UD873qvPk+cnoa1qw/iVfK/48Fb/XfSa334Z0FpgMZDTdHTs25f1ZsuCITP2XDn1cZE\nv2ueVIz0XPe4i4W+drq7WHfEkAiKYkR6u/pxxEWxTTlxtiakR35RzLr4TPom2Xd7nZ0rZN355Gxe\nWSOZnKGandZN9eFKvF3vu5g4bA77BGPquw6jO5d8TZhcDBL/EibVrT5XSXmmOKccJd9SnsQnW8i3\nGtJH+cdMtlwduK5QJnro/JUkTXB0Z9xw6gh8SqaOuCq+brjUPVdidmUIkiQ8pI/OTIhgEiNnj3R1\n+qc4O581dt3Q6eqpfu5sTuyrvg6TE1dTrme6IZU4sBuGhG0yZFK8yFY39BzuCb9MeavzW/c6v5K/\nZOdKT7jLAvmZhvEk751PLt9mjy34W/0nWGvlbxe0rwatI6NOZ93vik337Nc0kOpnwqd4psTjBrri\nS6LP3f5u+Fd89FrPOpvkK/mShmZXDxWDGz7qrz7vBkvS0Q3NGreuRvc+1Ud+EQbKh8bK+U3vtW8m\n5Kf+OB8Vh+J2BEq5T/h1X/e52+ts0H7HO9PeI/suRim3hCXZVB/pM+nv9CY/aB/xcH1NFx7dP+lp\nzYfmSftM33fcvOVWfyZdHdk/W+rndJuZFJZrgKqDGi8NbGqk1MyU3K7YFHsiZecb6SH/u6akGOqa\nK8KKm+x2F4C6txvw9bOLXfJdc6L+Vsy0t8bCkYVKWidd6eKg53SP6yuV2gOOMBM5qS7FRoROMdf3\ndb/zsz4jP1Of7OdUJ+6s47AOTxogCa/GSddd7To8ZEs/u56vMdB86Gd3cVEfux51eFPPdVjresXq\n8u4uWGTD4XVyq2/SiWjcXiItd35SFNqQVX8ilESA2jiOuGhYp6JyjekuBsm+k+r7hDh0H8VLdboL\nDK3RANX91FxELhS/itPhUR/Ut/1+kouKKdnsdKh0Z91FgXx0tlxt6lqq96RfJZFf5wvZcLVKeKkG\nVOeEv6h+6XOq96Q76XS85bhU9bqh5S4WKbY6sBy/OHuudxMex9Fdnhw+6nWHRXUn2x/tn2x6QzkJ\nOAUg3cYma264djc01zSu6KmoyK+07oq3i0sqrA6z81/PUmzcsHSEkeKU1gmvIxMX50462863rj67\nOiEM075wPne16+yl905SHtQH56M744RwdjpSv18h2UltTWozEXjXQ7r+Gn2vtenOpBqdDEdnJ/Fb\n4s/JHJno7rB0fAD+2Wa61a+7t9Rbk67pDaw+d2S6g6SFswPr9qmtGmxKCp2r5+sZtan+6lkSsueK\noD7fP4TTxVnjpBg0ptVfLWK1TXhdXlKzd5cA8oXOVumwVoyTi4QjJ9fklAPKheokn90zPaf2puLq\nkPpPz9Qa0VhS3ZENFVc3df9+TvWu78mnZHfr7/yoovtd3ZCN2muqr57TnqS6ncRLc0WxShyVbNB6\nsuHyrPpcH3Q29xr1leu9xAcd73zO7mTTG8qZBpUjOPe8IxgaKO55t6e7uekwq++pUCaE/0V8cWcI\nz2twJt/TkK96KbZq19l2Pqq4mJHNDqfzKRGsfnb5SLGZxiTpVNt6tkrnH/lRzyV7qWam/eck+eOw\npHNqX8+p7Ul9p3oiLMluF5d00VDdZGtS11dilCT1iJPJ4NV9XY04npzyXPDLOnKrIX3If4LVFTXt\nnTSUez8IZFy/MqxVz2RP8l/PT/zpiu2K/TQspqTbkYK+V3yKQ7E7bGS/w026dC3FxWHQtUkunf2r\ng0PXrzzv+sr5Tr6QHueb4nG6CeP0IpDOJP36PuHqLhfJvhv07vyVIfvanicf6rPpxUDXXF0k3GSf\nZFpvU7noox1ct/qLY6kB6DMV6rTJSLqipPW0p+6lQtq4JhcMtbHPunOOPBMxVqzJLj2/eiYNvPrc\n+ZXWk96JPpcn0k9YO4LohoXa6/TXz87v6UWH7HZkPPHHnemeTfo1xccNJOpjiqfr+VS/aZhejVca\npF0/O1/Vz6m9JKmeJr3QYXYXhMkFq7OvdUH7nK1JPSsWzX8nt/omvZb/i2OfbTDFP7k5dc1TbaSh\nepUQ6KxLvsPgziluFzO1MS2Qr0pSvLakfHXkvW3Uz2q77ql6E64r9enWXB4SOXZD7Srerm5TjFM/\nUt11uOm9O99dDBJW1Umxd31yxberl4zJ4HKxmKxN93b1l+Kle7ohNhmyHZ/V990scH054dBpHyY/\nVQD/p/FNWqW75VwZMnSm6q8Joz2ugJIOKurULN15xeV8dHbq+nsO6LU+zgcRbY2LG2ZVR33WEYrD\nQ+sTAtf9k8sH5cHVm/rU4Zz4p7HqBqZ7Rj3gcplwpZp0OXT9fCWO00HavTofXOz1fDcAFLvD0F1c\nuuGldhwHp+E0GYyuflSP2qXnTh/lJfmQ9k0uKIS/86mTWw3paWIpeK5JSI+7IXa3KNJPz6Y3OBpC\nKXFOF2FLxXFXmTTD/qzSkUqyQ3td7rqh4pqUbDpi7UhN9zufNW6O0NMZhzPFgwa86zvaR7Gr+1zP\nOlLV+CQiTvVC4mpNMXd1SNiv8og+V/sOn/Nb/dR6o3xQLBJe6kPS53qb5oLud7gc507rMvmRuDdd\nykhu9evu4zhOR7aw93OfXRPoHkdSdX/CkIpr0ogTUr5ylmzp2U9Rujh0F61pLLpcv1ZfqkciXMLS\nNX1HBN06+dX50vnQySQPHYbOrquVSZ5Jf+qjybmrOKaXjOn5jvcmkrC5WFzxSfcnHBOb9fk0l/U5\nxarLZZdjp28/dphu9U26C0Da4/RVcSSfsOhZeuYSkxo7DRyHn/xwGJL9T0EmA0f3dxeZNOD1vcrV\n4UZ7yY5i6mqHdNVzU0zdetVBWF5bW8kvt94NKHeJm+isPjpCT/rSOfJNdaR+Tz1N/lNNOfzpMuhq\nh/qJfKK9tNZd1iinxP/dYKQad0NYzyesHY7O9+lF6dbfpNeafZN1DUvnVVcakF3SXMG4Ak1YuwHT\n7fmUB3InXa5JOuKmnJFd0ke4Jvvrma5OHA7y+8qllfCngXYH6WK2Vv8N9i690mHb+BL/TLmt2qv2\n3d63kuklecqBpNv13XRtoqfrH4fVXDptEm75L47pN4V0M5k2XtXj3qvtCYFWHXqTJf11fVqszue7\nk+uXJSn/NZ77lXLhyLC+przred2zn5P9+qo2dS1dOlS3EgDVx351eBXLHcXh1Jh0/Uq9Xl/fQijX\n6YsCnXM6VWrN7p8aM8etbyE1b1rXil8/U/1Xvc5e1VPPpF6u+9Mlse5J9rXvJrV3qyHtnN9C5EsE\n293IakC75qZkKmnTZYHsqRB+J+kycneS/TIlDTe6uNEwp71do1NN0I3aXS5dXdTn3W2/EoXTm4gr\nfUP41IQIjvpcZTIQv2pRDHR50BxP6lv5hC6waZB8lTKxSXWt77tzejElHqbe1N6aDFziFnfZoN6d\n+LbWzYZ0IkdHtvs9FSS91v3pBjrBRglPxOsSpTZSMt0Q+DpJIuN0S3XfZmnA0TBL9ad2XKOmc91t\nvxv67vPkm8anJOnCpOtK2vqczr61uHqh9923x+5i8l7i8kNrk2+YlFe6/Khe7b9uGDu+Tl/saM1d\nDCZyqz+TXmt9DgwFORGdDsQkVwd09y3nNevdTa3uSTftr6PUOqDLUPee9KzFcdY9dZ9bS004GTLJ\nx4SHfHb6v1mELsb1PeVl2stftUxySev1WceL7y0uB1sINw1Bx++T/iUdE4zUx1cwqI2gxybsVn+7\nu0oN0pT86Hz9vOXqNyzdS9/OXWJVVyKDKwXxdRdtOBfzK3XkaobyTfq7OuqaW/U6rGST9n1dLnOT\nb5L6LUqfv7VQntzlyl3S0tBWvVXe6zKiGKZ83n1LrXpc/+5n3SWOdE74ehJ717ed3OrX3Wt9/Ocs\nNfDphjJttFQYTgcF1NkkoqxNpUWihaQ+q/9fB9KdCg2p/V6byzVvasAqmlN9n9aIeN1tXm27WnXD\nXf37OonrXyXO/Z7q5K1kUoNr5d8Y1T1VZ7Wh3PPevqrQRfvqN9StJ9miGkj6lVuUk1W3i63D4T6T\n3OrX3Uf5v2Cl4uxuOanxuhuPa2jBadf1luaeOT/Jh0mRPvJBuvinGureX+0V962oPqPnrg50LZ37\nuoq7nKV41/dvGcP07dLt72pI9bwnd6TaTZ/X8r+1ovck6XKrtpJ0HKF6J/NE/doqHIZbfZO+ertN\nidJbj+qlm1G9yemtSm97Dkt9X29Y9UZLN7PppeKRj6X7bQPdilM+021bbei3FGff4dY9itV9u1Bs\nX/f66L7ppM/1jMb6q5T0zVY5Yu/XPaRzauMtpOM511uUD/fe2dVv1Wle6J5uTT8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TAAAg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\nyA5KkHlf78x7yU6XeDNpp14pRilOzd9kqxZUK2Rn0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EO/WjcbXqkmNrptB4LUyHVfz7iY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"text": [
"<matplotlib.figure.Figure at 0x2b434b222da0>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### [2] Sharing a secret\n",
"\n",
"\n",
"\n",
"## objectives\n",
"\n",
"Let's present [Shamir's](http://en.wikipedia.org/wiki/Shamir's_Secret_Sharing) ideas of secret sharing.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"### the problem\n",
"\n",
"*Alice* wants to share his swiss bank account number with *Bob TheFirst*, *Bob TheSecond*, *Bob TheThird*,... *Bob TheNth* such that...\n",
"\n",
"1. If any $k$ *Bob*s comes togheter they need to be able to recover the bank account number\n",
"\n",
"2. If any less that $k$ *Bob*s comes togheter they need to have no idea whatsoever about the bank account number\n",
"\n",
"\n",
"\n",
"~~~\n",
" ***********\n",
" ***** ***********\n",
" ** ****** *** ********\n",
" **** ****** ** *******\n",
" *** ******* ** ******\n",
" *** ** * **\n",
" *|/------ -------\\ ** *\n",
" | |=| :===**\n",
" | O | | O | }|*\n",
" |---- | ---- | |*\n",
" | |___ |\\/\n",
" | |\n",
" \\ ----- |\n",
" \\ |\n",
" -__ -- -/\n",
"~~~"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# shamir solution: use polynomials!"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### definition\n",
"\n",
"A polynomial is a function that can be written as\n",
"\n",
"$$\n",
" a_0 + a_1 \\cdot x^1 + a_2 \\cdot x^2 + \\dots + a_n \\cdot x^n\n",
"$$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax0, ax1, ax2) = plt.subplots(ncols=3)\n",
"plot_function(lambda x : 2 * x + 1, title=\"$2 \\cdot x + 1$\", ax=ax0)\n",
"plot_function(lambda x : 2 * x**2 + 1, title=\"$2 \\cdot x^2 + 1$\", ax=ax1)\n",
"plot_function(lambda x : 2 * x**3 - 2 * x**2 + 1, title=\"$2 \\cdot x^3 - 2 \\cdot x^2 + 1$\", ax=ax2)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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B+cDapYNIGmgWFyQ13cHAT4d19vDk0gEk9UYEqwFfB3bL5A+l82hwZJIRXEv1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\ntQ6iibUVFhckjTjXXFiJhE2BzwCbVnFx4ziSFsk4tE+DMk3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"text": [
"<matplotlib.figure.Figure at 0x2b434d0a5048>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### important feature of polynomials\n",
"\n",
"Any $n + 1$ points define an unique polynomials of degre $n$."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax0, ax1, ax2) = plt.subplots(ncols=3)\n",
"\n",
"p = lambda x : 2 * x + 1\n",
"plot_function(p, title=\"$2 \\cdot x + 1$\", ax=ax0)\n",
"ax0.plot([-7, 7] , [p(-7), p(7)], \"ro\")\n",
"\n",
"p = lambda x : 2 * x**2 + 1\n",
"plot_function(p, title=\"$2 \\cdot x^2 + 1$\", ax=ax1)\n",
"ax1.plot([-7, 0, 7], [p(-7), p(0), p(7)], \"ro\")\n",
"\n",
"\n",
"\n",
"p = lambda x : 2 * x**3 - 2 * x**2 + 1\n",
"plot_function(p, title=\"$2 \\cdot x^3 - 2 \\cdot x^2 + 1$\", ax=ax2)\n",
"ax2.plot([-7, -3, 3, 7], [p(-7), p(-3), p(3), p(7)], \"ro\")\n",
"show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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SO1wSIUmwO9VW3+eWDtJpFhek5vkM8BfgS6WDaGBcAUyrpzRL0kRZXJDUaBEs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\nmZmZmZmZWbe4uGBmZmZmZmZm3fL/GbklQaBRSWsAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434ce98668>"
]
}
],
"prompt_number": 21
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"###Similarly,\n",
"\n",
"by $n$ points pass an infinite number of polynomials of degree $n$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"b = 0\n",
"d = 1\n",
"c = lambda a : -100 - 7**2 * a\n",
"\n",
"P = lambda a : (lambda x: a * x**3 + b * x**2 + x * c(a) + d)\n",
"\n",
"for i in range(-12, 12, 3):\n",
" plot_function(P(i), ax=ax)\n",
"\n",
"\n",
"p = P(1)\n",
"ax.plot([-7, 0, 7] , [p(-7), p(0), p(7)], \"ro\")\n",
"ax.set_title(\"Polynomials passing through $(-7, 701), (0, 1), (7, -699)$\")\n",
"fig.show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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SMLDY5S+J2HJCu2/kXcDmwI41JCWuB/ak1JNYpYbwJEmSJEmaEDMvIdGvFLvc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\nhIQkSZIkSeo6ExKSJEmSJKnr/j8c845mpUoLZgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434b2bfb70>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Shamir's secret sharing\n",
"\n",
"* Alice needs to create a random polynomial of degre $k-1$ such that $a_0$ is the\n",
" secret to share.\n",
"\n",
"$$ P(x) = a_0 + a_1 \\cdot x^1 + a_2 \\cdot x^2 + \\dots + a_{k-1}\\cdot x^{x-1} $$\n",
"\n",
"* Alice gives to each *Bob TheIth* the couple $(i, P(i))$\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"### secret recovery\n",
"\n",
"If $K$ bob comes togheter, they can figure out the secret polynomial $P(x)$ and compute $P(0)$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# interesting facts\n",
"\n",
"* the number $n$ needs not to be known at first. (Additional bobs can\n",
" come and join the party!)\n",
"\n",
"\n",
"* the number $k$ is fixed forever\n",
"\n",
"\n",
"* the fact that we evaluate $P(x)$ at $0$ helps tremendously in\n",
" the algebraic resolution of the problems\n",
"\n",
"\n",
"* the Shamir's secret sharing is at the base of almost every \"threshold\"\n",
" cryptography\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# small example to see if everything works\n",
"\n",
"*Peter* wants to share between *Wolf* and *Didier* the\n",
"ACS's credit card: `5243 9021 9129 1828`.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = lambda x : 5243902191291828 + 7873787349 * x + 7893478934 * x ** 2\n",
"credit_card_number = 5243902191291828\n",
"wolf_secret = p(1) # keyboard random number\n",
"didier_secret = p(2)\n",
"print(wolf_secret)\n",
"print(didier_secret)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"5243917958558111\n",
"5243949512782262\n"
]
}
],
"prompt_number": 23
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"### step 1\n",
"\n",
"Peter choose the bellow polynomials because he likes it very much\n",
"\n",
"$$P(X) = 5243902191291828 + 7873787349\\cdot x + 7893478934\\cdot x^2$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"#### step 2\n",
"\n",
"* Peter gives $(1, 5243917958558111)$ to Wolf\n",
"* Peter gives $(2, 5243949512782262)$ to Didier"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## As all Canadian can expect...\n",
"\n",
"Didier will try to figure out the credit card number to buy a\n",
"truck load of maple sirup."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"### Can Didier acheve its goal?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"## Let's resume what Didier knows\n",
"\n",
"1. He knows that he is looking for a number $a_0$ of 12 digits\n",
"\n",
"2. $a_0$ is positive\n",
"\n",
"3. $a_0$ is an integer\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### But if didier does a little bit of algebra..."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"...\n",
"$$P(x) = a_0 + a_1 \\cdot x + a_2 \\cdot x^2 $$\n",
"$$5243949512782262 = a_0 + a_1 \\cdot 2 + a_2 \\cdot 4 $$\n",
"$$a_0 = 5243949512782262 - a_1 \\cdot 2 - a_2 \\cdot 4$$\n",
"$$a_0 = 5243949512782262 - 2\\cdot(a_1 \\cdot - 2 \\cdot a_2)$$\n",
"$$a_0 = 5243949512782262 - \\text{even number}$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Hence...\n",
"\n",
"* Didier knows the credit card number is even\n",
"\n",
"* With the help of *EC2* Didier can find the solution in a relative small amount of time.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# What can we do to avoid such situation?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"1. We could process the original message before wharing it\n",
"\n",
" $$\\underbrace{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}_\\text{very random number}\\underbrace{5243902191291828}_\\text{the credit card number}$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"2. We could work in a more appropriate field\n",
"\n",
" $$\\mathbb{Z}/p\\mathbb{Z}$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# What is $\\mathbb{Z}/p\\mathbb{Z}$ ?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"* $p$ is (very large) prime\n",
"\n",
"\n",
"* $\\mathbb{Z}/p\\mathbb{Z}$ is the set of all the integers between $0$ and $p-1$\n",
"\n",
"\n",
"* we can add two elements of $\\mathbb{Z}/p\\mathbb{Z}$ as usual. If the result\n",
" is larger than $p$ we *loop* using the modulo operation\n",
"\n",
"\n",
"* we can multiply two elements of $\\mathbb{Z}/p\\mathbb{Z}$ as usual. If the result\n",
" is larger than $p$ we *loop* using the modulo operation"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"# Uber important things\n",
"\n",
"\n",
"* Almost everything you know about the \"numbers\" is still\n",
" true in $\\mathbb{Z}/p\\mathbb{Z}$ \n",
" \n",
" \n",
"* In particular, each element has a multiplicative inverse"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## example $\\mathbb{Z}/7\\mathbb{Z}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 |\n",
"|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n",
"| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n",
"| 1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |\n",
"| 2 | 0 | 2 | 4 | 6 | 1 | 3 | 5 |\n",
"| 3 | 0 | 3 | 6 | 2 | 5 | 1 | 4 |\n",
"| 4 | 0 | 4 | 1 | 5 | 2 | 6 | 3 |\n",
"| 5 | 0 | 5 | 3 | 1 | 6 | 4 | 2 |\n",
"| 6 | 0 | 6 | 5 | 4 | 3 | 2 | 1 |"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"| + | 0 | 1 | 2 | 3 | 4 | 5 | 6 |\n",
"|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n",
"| 0 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |\n",
"| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 0 |\n",
"| 2 | 2 | 3 | 4 | 5 | 6 | 0 | 1 |\n",
"| 3 | 3 | 4 | 5 | 6 | 0 | 1 | 2 |\n",
"| 4 | 4 | 5 | 6 | 0 | 1 | 2 | 3 |\n",
"| 5 | 5 | 6 | 0 | 1 | 2 | 3 | 4 |\n",
"| 6 | 6 | 0 | 1 | 2 | 3 | 4 | 5 |"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# back to polyominals... (but int $\\mathbb{Z}/p\\mathbb{Z}$)\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax0, ax1, ax2) = plt.subplots(ncols=3)\n",
"plot_function_in_finite_field(lambda x : (2 * x + 1) % 7, title=\"$2 \\cdot x + 1$ mod 7\", ax=ax0)\n",
"plot_function_in_finite_field(lambda x : (2 * x**2 + 1) % 7, title=\"$2 \\cdot x^2 + 1$ mod 7\", ax=ax1)\n",
"plot_function_in_finite_field(lambda x : (2 * x**3 - 2 * x**2 + 1) % 7, title=\"$2 \\cdot x^3 - 2 \\cdot x^2 + 1$ mod 7\", ax=ax2)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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B4BvRUl0D3J07CLOCVZ8kkB6MtGelY46nOqo8luJmrmZdMgEMu7PBJL4RLdUk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VETkwT9dp/I6bm8GHh+qRGkJyIdFycc5yKQPoa0b+oweohdSfAC4P4Rx6tDSJ6afQX4eOpgplhA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\nAPj/GD09pkwp5XQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b434d0a5a90>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## The main two polyominals facts are still (almost) true"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Any $n + 1$ points define an unique polynomial of degre $n$."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"f = lambda x : (2 * x**3 - 2 * x**2 + 1) % 7\n",
"plot_function_in_finite_field(f, title=\"$2 \\cdot x^3 - 2 \\cdot x^2 + 1 mod 7$\", ax=ax)\n",
"ax.plot([-7, 0, 7], [f(-7), f(0), f(7)], 'rD')\n",
"fig.show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ReTfwceD11VEk9VlEAIuAVdVRJKljEriyOoR2IvM+Mu+pjiFpR5YEo+VzwKFE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\nFbEQeA/w2Ooo2jqLBGqfiN8mYnF1jKHL3NCrJo2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"text": [
"<matplotlib.figure.Figure at 0x2b434ce61128>"
]
}
],
"prompt_number": 25
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### By $n$ points pass $p$ polyomials of degree $n$."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"b = 0\n",
"d = 1\n",
"c = lambda a : -100 - 7**2 * a\n",
"\n",
"P = lambda a : (lambda x: (a * x**3 + b * x**2 + x * c(a) + d) % 7)\n",
"\n",
"for i in range(-12, 12, 3):\n",
" plot_function_in_finite_field(P(i), ax=ax)\n",
"\n",
"\n",
"p = P(1)\n",
"ax.plot([-7, 0, 7] , [p(-7), p(0), p(7)], \"ro\")\n",
"ax.set_title(\"Polynomials passing through $(-7, 1), (0, 1), (7, 1)$\")\n",
"fig.show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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6GFZecL9Cxrfr8/GQk6LnA/+etUkObyKdqkOXAy9AZMsU+sqSlRQ5mQ6D6rOo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72Az3qoo5ubgYbTe2EeGPcTPT72qydBvLur6kqn8C3r02bjKhrbKf8+bPcpa0rAKLbH4pqj2Jvw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"text": [
"<matplotlib.figure.Figure at 0x2b434d542160>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## back to Shamir's secret sharing"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"If peter would have choosen polynomials in $\\mathbb{Z}/p\\mathbb{Z}$ with $p$ big enough...\n",
"\n",
"1. Didier could not have easely discarted some numbers\n",
"\n",
"2. For Didier, a large $p$ in infinite even with the help of $aws$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### [3] Password alternative\n",
"\n",
"The objective of this sections is to present the idea of the\n",
"article [how to proof yourself](http://www.cs.rit.edu/~jjk8346/FiatShamir.pdf),\n",
"an article publish by Fiat and Shamir in the year of grace 1987."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Objective\n",
"\n",
"The objective is to find a way to allow *Alice* to authenticate to *Bob* such that...\n",
"\n",
"1. Alice can authenticate\n",
"\n",
"2. Bob is sure that the *Alice* is really Alice\n",
"\n",
"3. Bob cannot copy the credentials of alice in any way.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"### in the contect of a zero-knoledge proof...\n",
"\n",
"1. Completness\n",
"\n",
"2. Soundness\n",
"\n",
"3. Zero-knowledge"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### how can we do that?\n",
"\n",
"\n",
"1. Bob and Alice exchange some information while they know they are talking to the each other (sign up)\n",
"\n",
"2. In that exchange, Alice will tell Bob that she knows something, proof without giving Bob or anyone else\n",
" any factual proof.\n",
" \n",
"3. Each time Alice will authenticate, Alice will provide enough information to Bob to demonstrate that she knows the \n",
" information but without giving any factual proofs."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# quadratic residue"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"There are some problems that are easy to solve in $\\mathbb{R}$ but very hard to solve in $\\mathbb{Z}/n\\mathbb{Z}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"# quadratic residue\n",
"\n",
"* The quandratric residue of $x$ in $\\mathbb{Z}/n\\mathbb{Z}$ is an\n",
" element $y$ such that $x^2 = y$\n",
" \n",
"* We say that $y$ is a *quadratic residue* if there exists $x$ such\n",
" that $x^2 = y$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"### facts\n",
"\n",
"* not every elements are quadratic residue\n",
"\n",
"* It is **hard** to know if a number is a quadratic residue\n",
"\n",
"* It is easy to find a quadratic residue: just take a random\n",
" $r$ and compute $r^2$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Proving ourselves with quadratic residues...\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### idea\n",
"\n",
"The idea is that Alice will demonstrate to Bob that she knows that a certain element $x$ is a quadratic residue\n",
"without giving $\\omega$ such that $\\omega ^2 = x$"
]
},
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"source": [
"# protocol...\n",
"\n",
"| Alice | Bob |\n",
"|:------------------------------:|:---------------:|\n",
"| chose a random $r$ | |\n",
"| sends $a = r^2$ | |\n",
"| | send challenge 0 or 1 at random |\n",
"| if challenge is 1 returns r | accept if $r^2 = a$ |\n",
"| if challenge is 0 returns $r\\cdot\\omega$ | accept is $(r\\cdot\\omega)^2 = a \\cdot x$"
]
},
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"source": [
"* completeness:\n",
" If Alice plays the game, she will be to proof that she is herself with probability 1\n",
"\n",
"* soundness:\n",
" Bob as a probablylity $1/2$ to catch a cheeter\n",
"\n",
"* zero-knowledge:\n",
" Proof by intimidation"
]
},
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