Skip to content

Instantly share code, notes, and snippets.

@greeness
Last active January 2, 2016 18:49
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save greeness/8346181 to your computer and use it in GitHub Desktop.
Save greeness/8346181 to your computer and use it in GitHub Desktop.
{
"metadata": {
"name": "Sparse AutoEncoder Part1"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": "My walkthrough of the Sparse AutoEncoder exercise:\n\nhttp://deeplearning.stanford.edu/wiki/index.php/Exercise:Sparse_Autoencoder\n\nThe original assignment reading is here:\n\nhttp://www.stanford.edu/class/cs294a/cs294a_2011-assignment.pdf\n\nStart the notebook from a given directory:\n\n```ipython notebook --notebook-dir=~/datasets/ufldl/starter/```\n"
},
{
"cell_type": "code",
"collapsed": false,
"input": "%load_ext octavemagic",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "raw",
"metadata": {},
"source": "Load the dataset contained in the starter package:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave load IMAGES",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": "# Dataset Overview\nThe dataset contains 10 512x512 images. "
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave size(IMAGES)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"text": "ans =\n\n 512 512 10\n"
},
{
"output_type": "pyout",
"prompt_number": 3,
"text": "array([[ 512., 512., 10.]])"
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave imagesc(IMAGES(:,:,1))",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAADwCAIAAAChXqV1AAAABmJLR0QA/wD/AP+gvaeTAAAgAElE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\n"
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave patch = IMAGES(1:100, 1:100, 1);",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Sample the top-left corner 100x100:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave imagesc(patch)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAADwCAIAAAChXqV1AAAABmJLR0QA/wD/AP+gvaeTAAAgAElE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\n1cVy2wAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Sample the top-left corner 10x10:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave patch = IMAGES(1:10, 1:10, 1);",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave imagesc(patch)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAADwCAIAAAChXqV1AAAABmJLR0QA/wD/AP+gvaeTAAAc6klE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\nAABJRU5ErkJggg==\n"
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": "# Generating sample images"
},
{
"cell_type": "code",
"collapsed": false,
"input": "%%octave\npatchsize = 8;\nnumpatches = 1000;\n\npatches = zeros(patchsize * patchsize, numpatches);\nimages_idx = zeros(1, numpatches);\nfor i = 1:numpatches\n chosen_image_idx = ceil(rand*10);\n images_idx(i) = chosen_image_idx;\n row = ceil(rand * (512 - patchsize));\n col = ceil(rand * (512 - patchsize));\n patches(:, i) = reshape(IMAGES(row:row+patchsize-1, col:col+patchsize-1, chosen_image_idx), 1, 64);\nend\nhist(images_idx);",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAADwCAIAAAChXqV1AAAABmJLR0QA/wD/AP+gvaeTAAAb00lE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\nLKpBvgAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Make sure our output is a `64xnumpatches` matrix, i.e., one column per patch, `numpatches` columns"
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave size(patches)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"text": "ans =\n\n 64 1000\n"
},
{
"output_type": "pyout",
"prompt_number": 10,
"text": "array([[ 64., 1000.]])"
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Or just create the patches from calling the function `sampleIMAGES()` directly:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "octave patches = sampleIMAGES();",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Displaying one random patch:\nActually need to modify the source code a little bit to make it work under octave.\n```\n%if opt_graycolor\n% h=imagesc(array,'EraseMode','none',[-1 1]);\n%else\n% h=imagesc(array,'EraseMode','none',[-1 1]);\n%end\nh = imagesc(array);\n```"
},
{
"cell_type": "code",
"collapsed": false,
"input": "%%octave \n\ndisplay_network(patches(:, ceil(rand(16,1)*size(patches,2))), 16);",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"text": "warning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: potential Matlab compatibility problem: # used as comment character near line 1 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: # used as comment character near line 19 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: # used as comment character near line 25 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: # used as comment character near line 32 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: # used as comment character near line 35 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \\ used as line continuation marker near line 38 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 42 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 43 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 45 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 45 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 46 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: missing semicolon near line 45, column 5 in file `/usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m'\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 60 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 61 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: missing semicolon near line 60, column 5 in file `/usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m'\nwarning: missing semicolon near line 61, column 5 in file `/usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m'\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 72 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 72 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: # used as comment character near line 73 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: variable switch label near line -1, column -1 in file `/usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m'\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 74 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 74 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: ! used as operator near line 75 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: variable switch label near line -1, column -1 in file `/usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m'\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 78 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: potential Matlab compatibility problem: \" used as string delimiter near line 80 offile /usr/share/octave/3.2.4/m/plot/__actual_axis_position__.m\nwarning: empty matrix found in matrix list near line 1257, column 19\nwarning: empty matrix found in matrix list\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: empty matrix found in matrix list near line 1257, column 19\nwarning: empty matrix found in matrix list\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: empty matrix found in matrix list near line 1257, column 19\nwarning: empty matrix found in matrix list\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: empty matrix found in matrix list near line 1257, column 19\nwarning: empty matrix found in matrix list\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: concatenation of different character string types may have unintended consequences\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: implicit conversion from string to real N-d array\nwarning: empty matrix found in matrix list near line 1257, column 19\nwarning: empty matrix found in matrix list"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAADwCAIAAAChXqV1AAAABmJLR0QA/wD/AP+gvaeTAAATvUlE\nQVR4nO3dWaiVZd/H8dsK08xpO+eYs4lDqaSGqVtDZCMiIho2WZ1EIYFCHUYQkSTVgWdKmoiEiLjF\nwsq5cMqtOZumtp3HnE3T9nP0sl6u32/13M/7Cvv5L7+fwx/X2ve91tr8vb3++7quOjU1NRkARPBQ\nbd8AAORFwQIQBgULQBgULABhULAAhEHBAhAGBQtAGBQsAGFQsACEQcECEAYFC0AYFCwAYVCwAIRB\nwQIQBgULQBgULABhULAAhPFIbd9ALVuyZMnx48dr+y6A+69Lly7jx4+v7bu4z+o84Fskl5eXr1+/\nvrbvArj/KioqKisra/su7jP+SwggjAf9v4T/24wZM5Jk3rx5OmzcuHEazp8/X8OFCxdquGTJkiR5\n4YUXdFj//v01HDFihIZbt27VsLq6Okm2bdumw65fv67hhg0bNOzbt2+STJo0SYf9+eefGk6ZMkXD\nQYMGaTh69OgkGTNmjA5buXKlhseOHdOwQ4cOGl69ejVJDhw4oMM2btyo4axZszTcv3+/hq1bt06S\nVq1a6bDt27dr+Oqrr2o4cuRIDfft25ckffr00WElgycsAGFQsACEQcECEAYFC0AYFCwAYdAlLDh3\n7lySPP744zrszJkzGr755psarl27VsP27dsnyaFDh3TYQw/l/bfkyJEjGu7evTtJtDWWZdmFCxc0\n7N69u4YDBgzI89otW7YUu8/EI4+Y3z29in4pWZGGYJMmTTS0bVDVqFGjPMMy1/vLsuz8+fMa6udz\n8+ZNHWb7qkuXLtXwxIkTGj722GP2PksVT1gAwqBgAQiDggUgDAoWgDCYdC/QxSJTp07VYXYaePbs\n2RrWr19fQ11zY6eQd+7cWeQ2U8uXL9ewbt26SWIbCDZs3ry5hhcvXkySvXv36jA7hWxNnjxZwwkT\nJiTJsmXLdJidsLdrfWyHROfI//7772L3mbDfvr0fZa9ivwL7K3Hq1CkNO3XqlOfSJYMnLABhULAA\nhEHBAhAGBQtAGBQsAGHQJSxo165dktit9WwHZ9OmTRoOHz5cw969eyeJ3Y7u5MmTGv70008a2iUp\nvXr1SpKjR4/qsEuXLmnYsGFDDXWpkN0ozq4oWrRokYZlZWUa6ooiu7WeflNZlnXu3FlD27W8e/du\nnpux7J6OAwcO1FDbf3pdOywr8gbtyh4bljCesACEQcECEAYFC0AYFCwAYTDpXqAz0PakGbstkZVz\nr6I7d+5omH+xiH25ztraufkdO3ZoqMt6siw7e/Zskly7dk2H5d/Gyx4HqV+BfXe6bVZWZPbaznOr\n/LtKnT59WkO715h+FPY7tfPrdn8u+4uXc8OvksETFoAwKFgAwqBgAQiDggUgDCbd/8mCBQs0PHz4\nsIZ2RyT7h+n6h/K3bt36v9zc/7B/e63zu9OmTcszLCvy5+/6Bps1a6bD7IEalp1X1olzu9+TnSP/\n8ccfNbRtE/2b+B49ehS5zZTddatevXoa6rZidpg9v96uc7ANhJxbcZUMnrAAhEHBAhAGBQtAGBQs\nAGFQsACE8WC1GP6Ztsw2b96sw27cuKGh3frKttsaNGiQJGPGjNFhdknKnDlzNBw5cqSG2m6rqqrS\nYb/99puGtnXYrVu3JJk4caIO+/LLLzW0Ro0apaEecmM7rfY4ouPHj2tol7Po2qP8u0o99dRTGtoF\nSforYZubdlmP7SfaT0w3/Fq4cKEOKxk8YQEIg4IFIAwKFoAwKFgAwmDSveDrr79OEjuPaw9faNOm\njYZ//fWXhrrWZNiwYTos/zTw22+/raGuC7FnZ9jZYrtoRvddstPhq1atKnKbKfsGDx48mCTffPON\nDhs6dKiGdk7aflm6fmjr1q3F7jPRokULDbds2aKhzqZr4yLLstatW2toezhdu3bVkEMoAOC/FAUL\nQBgULABhULAAhEHBAhBGnZqamtq+h9pUXl5uj28BoquoqKisrKztu7jPeMICEAYFC0AYFCwAYVCw\nAITB0pyCzz//PEnsIhXLjrTn62zcuDFJ7LZZ48eP1/D999/XcOfOnRrqSprly5fnGZYVWWakJ6rb\n3Z3s/lMzZ87U8NNPP9WwZcuWSbJ69Wod1qVLFw379++v4bJlyzTUPaTslmSvvfaahu+9956Gdn2M\n7mhmD8hp0qSJhrqyKiuyiOfAgQNJMn36dB1WMnjCAhAGBQtAGBQsAGFQsACEQcECEAZdwgJtHulm\ne8XYnfD06Bp7ldOnT+uwkydP5rz05cuXNdSN63799VcdZhuU9siWRx5Jf1XsdfOzjTDtEtrbtj3Z\nJ554QsNnn31Ww+3btyeJPbrGsgf2nDp1SsOysrJ/m2RFfknsD9yxY4eG+e+8NPCEBSAMChaAMChY\nAMKgYAEIg0n3Ap1XtuxJ7rpCIsuya9euadi9e/ck6dChgw6zq0+sDRs2aKgn8QwaNEiHbdq0SUM9\nyd3au3evhna9jqVrfTI3kW9nmu0ilX379mlo56R1zj5/A8Hetu2QPPfcc3l+oJ1f37Ztm4ZHjhzR\nsG/fvnmuUjJ4wgIQBgULQBgULABhULAAhMGke8Hu3buTxB5Vr/scZUW2vrpw4YKG+pfNgwcP1mH2\n77atDz/8UEOdi+3du7cOs39ubkNtNaxdu1aHVVdXF7vPhN1DSqfYdWFAVmRq334FZ8+e1VC/gvPn\nzxe7z4RtufTq1UtDPVn+u+++02G2xdGvXz8N7d/3d+zY0d5nqeIJC0AYFCwAYVCwAIRBwQIQBgUL\nQBh0CQuqqqqSxLbqbHvLLgGxKzbat2+fJLp3VVZkvY519+5dDadMmZIktplYXl6uoT1KR/elsk0r\n+9r8tAOrO2RlRfqYnTt31nDo0KEanjlzJkmWLFmS8w7tgqRmzZppqD9zzZo1OqyiokJD+53afqJ9\n1yWMJywAYVCwAIRBwQIQBgULQBhMuhfoVK6ursiKHDh+48YNDXUWP3OzyHahSf7DBd566y0NdV7Z\nOnbsmIZLly7VcPHixUkyY8YMHTZ8+HAN7ZS2nU3X/oNdpGI/HLsQasCAARrqxmd2lyvLLhW6deuW\nhrpUyPZwRowYoeG6devy/MAs965bJYMnLABhULAAhEHBAhAGBQtAGBQsAGHQJSzQZRzjx4/XYbbx\nZI9sefTRRzW8cuVKkuzatUuHDRw4sNh9Jtq0aaPhmDFjksQ20VasWKGh7UYp2y+zi2Ys+4kdOnQo\nSex2iba5aVcF2RVO2pbV9VLF2PN1mjRpouHYsWPzvNZ+jJbdTvL111/P+fLSwBMWgDAoWADCoGAB\nCIOCBSAMJt0LevTokSR2nyM7Jz1//nwNt27dqqFOA7dt21aH2dPYLT3sJ8uy/v37J0m9evV0mJ4f\nkxWZ79fD0+fMmaPDFi1aVOw+EzkPH7Kn1Nip/U6dOuW8tF7l999/z/la/SXJsuzevXsa6k3aNVh2\nJt6u17GbZNltzkoYT1gAwqBgAQiDggUgDAoWgDAoWADCqFNTU1Pb91CbysvL169fX9t3Adx/FRUV\nlZWVtX0X9xlPWADCoGABCIOCBSAMChaAMFiaUzBkyJAkuXjxog6bO3euhk2bNtXQTuefO3cuSXQT\nqKzI7k52+yq7OOOhh9J/iuzCDh2WFVkNc/78+SSx23jt379fQ7sV11dffaXhggULksSeNGOPitEP\nNsuy1atXazh48OAk6d27tw575ZVXNLQbbA0bNkzDZ599NknsF71w4UIN9fSgrMg6Kt11a/r06Tqs\nZPCEBSAMChaAMChYAMKgYAEIg0n3At3kv2HDhjps+fLlGto58m7dumnYvXv3JDl69GjOH2jpTlWZ\nO43dHpTw5JNPamh3zqqurk6SjRs35rxDyzYQ9NJ2X7CbN29qeO3aNQ1z9j0uXbpU7D4T48aN03DP\nnj0a9uvXL0ns8SX2vbz77rsa2vl+O5FfwnjCAhAGBQtAGBQsAGFQsACEQcECEAZdwgJt4th1Ifbc\nlE2bNmm4ZcsWDTt37pwk9rDyrl27arh27VoN7WkxekBLgwYNdJh9g2VlZRrqIh57XXvO0AcffKCh\nfde6nMUuHtqxY4eGtrnZrl07DUePHp0kV69e1WGWvR/b6WvUqFGS6NqvzP0+ZFl2+/ZtDefNm6eh\nPXSnhPGEBSAMChaAMChYAMKgYAEIg0n3ghMnTiSJnRAdPny4hno0fJZl69at01AnaI8dO6bD7OSu\nNWjQoDwvt7tc1a1bV0Nd1pNlWd++fZPk+eef12Ft27bV0E66249Rj4y3K3jsBlsvvviihi1atMjz\ncnuIvGV/oN2pStnv9Oeff9bQrijavXu3hpMmTcpz6ZLBExaAMChYAMKgYAEIg4IFIAwKFoAw6BIW\naKvI7utmj3sZNWqUhnbzOe0J2uUj9pAby64LuXPnTpLYhmD+hR36cttMtEfXWLZrqS9v3769Dps8\nebKGL730koZ2t8XTp08niV00Y5fCtGzZUkPbI9aeoPZAsyz7/vvvNXzmmWc0tG1QuyCphPGEBSAM\nChaAMChYAMKgYAEIg0n3gtmzZyeJnaj+5JNPNLRzw3bFhm5BNXXqVB1mD7mxu03ZvZx0tyn7XuxJ\nM1bjxo2TxM6a6/KmYuxmYXpk/MiRI3P+QHv4kG59lbmORP7mg+0qvPPOOxpq22Tx4sU6zH5i48eP\n17Bnz54a6i9taeMJC0AYFCwAYVCwAIRBwQIQBgULQBh0CQuqq6uTZMKECTpMT3bJsmzbtm0anjp1\nSsPmzZsnSffu3XWYPRjGssfP3Lp1K89rH374YQ3tmpucS0C0AVfM2LFjNdSPwp5RdPDgQQ03b96s\noe2N6k1+8cUXxe4zoct6siINSj01Z//+/TpMfx+yIguA9uzZo6Hd/6+E8YQFIAwKFoAwKFgAwqBg\nAQiDSfeCVatWJYldW2MXzezatUvDP/74Q0OdyLfzymvWrCl2nwk7lXvmzJkkyXmifVZkzc3Zs2eT\n5Pr16zrMTnJb9n50A7Ljx4/rsFatWmlo78eupHn66aeTZODAgTps9erVOa9iFwDpiiv7lrdv354z\ntB2SnN2VksETFoAwKFgAwqBgAQiDggUgjDo1NTW1fQ+1qby83B4LDkRXUVFRWVlZ23dxn/GEBSAM\nChaAMChYAMKgYAEIg4IFIAyW5hQMHz48ScrKynSY3RnKnixvl3HoVkd9+vTRYXZZz0cffaThyy+/\nrKEuFbJbLH388cca2g22qqqqksSu4LGfw8yZMzX84YcfNNRlT/ZmLly4oKE9PcjuNda0adMksZ/2\n4MGDNXzjjTc0tLuA6VH1HTt21GF2bY2urMqKLBTT38bPPvtMh5UMnrAAhEHBAhAGBQtAGBQsAGEw\n6V7Qrl27JLEHBNipdLtJlp2W1llS+1o7e23ZGegrV64kiZ10t+dN2Evre9FJ5ew/2Q9rxYoVGrZv\n3/7fXjfLsosXL2qY/xPT7orukFWM/bLsR9G4ceMk0WMpsiy7fPmyhvZd26vkP/WjNPCEBSAMChaA\nMChYAMKgYAEIg4IFIAy6hAXaJbQNOHsAff6WWZcuXZLE9u9OnDhR7D4TtjvWsGHDPK+1PSa7Gkav\nYt+d/RysDRs2aKjnyth3Z1fh2BOA7Mt1pD24yNI+ZvafNI6V/RjbtGmTc6RtMpYwnrAAhEHBAhAG\nBQtAGBQsAGEw6V6g2yRt3bpVh9l53MOHD+e8SrNmzZIk/+qT/HSXJTuLb+fXc55fbzsSdq2PdfTo\nUQ3Pnz+fJPZUertPmd0u6ubNmxrqRPXZs2eL3Wfil19+0fDSpUsa6hqsnB+sfW1WpENiv4USxhMW\ngDAoWADCoGABCIOCBSAMChaAMOgSFkyYMCFJdKVIVmQdxsqVKzW0HZxNmzYlSf7d2qz/T9fy22+/\n1XDMmDEaaofLnjRz+/btPNfNsmzIkCEa7t69O0lsa6xDhw4a9uvXT0O7Z542GfMvhLLsVXQljf2m\n7GtteO7cOQ3zt2VLA09YAMKgYAEIg4IFIAwKFoAwHqwZu3+mU+xdu3bVYXYdht2ryM6m6ynkx48f\n12F2TYmlvYLMrbnRyf4sy9asWaNht27dNNQ3qCuZ7HWLmTZtmoZz5sxJErsUxm41ZSfdO3furKEu\nzdHJ/mLmzp2rof2yduzYkSR2C7CePXtqaE/xsVe5d+9ekixbtkyHlQyesACEQcECEAYFC0AYFCwA\nYVCwAIRBl7BA16nk3x3NrqTRY3gy17c6duyYDrPdMauiokLDwYMHJ8muXbt0mO1j2lB7o3ZRiN15\nzpo4cWKeq9j1KPv379dQu3JZkX6idgnzf9F2zZNdP1RVVZUkq1ev1mG2R2w70fZ3zC7iKWE8YQEI\ng4IFIAwKFoAwKFgAwmDSvWDnzp1JYo+usWef1K9fX8Pq6moNW7dunSR29rpXr17F7jOxbds2DZs3\nb54kdgmInS22t33lypU8N6NnAhVjz1jXXsHBgwd12IoVKzTcs2ePhvaz1a7C1atXi91nYtasWRra\nA3u0XWC7GfZz2Lhxo4b2y2I/LAD4L0XBAhAGBQtAGBQsAGHUqampqe17qE3l5eXr16+v7bsA7r+K\niorKysravov7jCcsAGFQsACE8aD/l/DixYv5j9IDAqlXr56ewBjdg16wAATCfwkBhEHBAhAGBQtA\nGBQsAGFQsACEQcECEAYFC0AYFCwAYVCwAIRBwQIQBgULQBgULABhULAAhEHBAhAGBQtAGBQsAGFQ\nsACEQcECEAYFC0AYFCwAYVCwAIRBwQIQBgULQBgULABh/As0U1/tGHmqXQAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 12
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment