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November 14, 2012 04:25
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Lecture on Recursion & Image Analysis using ipython notebook in slideshow mode
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{ | |
"metadata": { | |
"name": "Recursion" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"# Recursion Continued\n", | |
"\n", | |
"## Recursion Continued\n", | |
"\n", | |
"### Recursion Continued\n", | |
"\n", | |
"#### Recursion Continued\n", | |
"\n", | |
"##### Recursion Continued\n", | |
"\n", | |
"###### Recursion Continued\n", | |
"\n", | |
"\n", | |
"The \"Towers of Hanoi\" is a very simple game. You are given a stack of `n` disks in Tower 1, and your goal is to move them to Tower 3. You may only move 1 disk at a time, and you can never place a large disk upon a smaller one. \n", | |
" \n", | |
"<img src=\"http://mathworld.wolfram.com/images/eps-gif/TowersOfHanoi_1000.gif\" style=\"background-color:white\" >" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"Let's start with a simple example. We have a stack of 3 in the left tower\n", | |
" \n", | |
" \n", | |
" | X | | | \n", | |
" | XX | | | \n", | |
" | XXX | | | \n", | |
" \n", | |
"For a first move, we'll put the top disk on the far right... it's not obvious why until two steps later...\n", | |
" \n", | |
" | | | |\n", | |
" | XX | | |\n", | |
" | XXX | | X |\n", | |
"\n", | |
"Now move the size-2 disk to the middle...\n", | |
"\n", | |
" | | | |\n", | |
" | | | |\n", | |
" | XXX | XX | X |\n", | |
"\n", | |
"Now move the size-1 disk on top of the size-2 disk...\n", | |
"\n", | |
" | | | |\n", | |
" | | X | |\n", | |
" | XXX | XX | |\n", | |
"\n", | |
"...and we can move the size-3 disk to the bottom of Tower 3, where it belongs.\n", | |
"\n", | |
" | | | |\n", | |
" | | X | |\n", | |
" | | XX | XXX |\n", | |
"\n", | |
"The rest is cleanup\n", | |
"\n", | |
" | | | |\n", | |
" | | | |\n", | |
" | X | XX | XXX |\n", | |
"\n", | |
" | | | |\n", | |
" | | | XX |\n", | |
" | X | | XXX |\n", | |
"\n", | |
" | | | X |\n", | |
" | | | XX |\n", | |
" | | | XXX |\n", | |
"\n", | |
"If you look closely at that approach, you'll realize that it doesn't matter how big the disks are, all that matter is that you have 3 disks. In fact, it presents a general formula for moving a single disk. I'll illustrate this by showing some animations of the (recursive) Towers of Hanoi solution in progress." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# SKIP THIS - \n", | |
"# this is the source code for the previous markdown cell\n", | |
"source = [3,2,1],\"L\"\n", | |
"target = [],\"R\"\n", | |
"helper = [],\"M\"\n", | |
"hanoi(len(source[0]),source,helper,target,delay=0.0,printall=True)\n", | |
"#print_han([([5,4,3,2],\"L\"),([1],\"M\"),([],\"R\")],last=True)\n", | |
"#print_han([([5,4,3,2],\"L\"),([1],\"M\"),([],\"R\")],last=True)" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false, | |
"slide_step": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | |\n", | |
" | XX | | |\n", | |
" | XXX | | X |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | |\n", | |
" | | | |\n", | |
" | XXX | XX | X |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | |\n", | |
" | | X | |\n", | |
" | XXX | XX | |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | |\n", | |
" | | X | |\n", | |
" | | XX | XXX |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | |\n", | |
" | | | |\n", | |
" | X | XX | XXX |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | |\n", | |
" | | | XX |\n", | |
" | X | | XXX |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | X |\n", | |
" | | | XX |\n", | |
" | | | XXX |\n" | |
] | |
} | |
], | |
"prompt_number": 196 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def check_stacks(stacks):\n", | |
" if len(stacks) != 3:\n", | |
" raise ValueError(\"There must be 3 towers!\")\n", | |
" for s in stacks:\n", | |
" for ii in xrange(len(s)-1):\n", | |
" if s[ii+1] > s[ii]:\n", | |
" print s[ii+1],s[ii]\n", | |
" raise ValueError(\"You have stacked illegally!\")\n", | |
"\n", | |
"from IPython.core.display import clear_output\n", | |
"import time\n", | |
"\n", | |
"def sort_stacks(stacks_meta):\n", | |
" mlr = [sm[1] for sm in stacks_meta]\n", | |
" order = mlr.index('L'),mlr.index('M'),mlr.index('R')\n", | |
" stacks = [stacks_meta[o][0] for o in order]\n", | |
" return stacks\n", | |
" \n", | |
"def print_han(stacks_meta, last=False, delay=0.5):\n", | |
" stacks=sort_stacks(stacks_meta)\n", | |
" check_stacks(stacks)\n", | |
" #height = max([len(s) for s in stacks])\n", | |
" height = width = max([a for s in stacks for a in s])\n", | |
" if not last:\n", | |
" for line in xrange(height):\n", | |
" print \"\\r\", \n", | |
" for line in xrange(height-1,-1,-1):\n", | |
" for s in stacks:\n", | |
" if line < len(s):\n", | |
" print \" | \"+\"X\"*s[line]+\" \"*(width-s[line]),\n", | |
" else:\n", | |
" print \" | \"+\" \"*width,\n", | |
" print \" |\"\n", | |
" sys.stdout.flush()\n", | |
" if not last:\n", | |
" time.sleep(delay)\n", | |
" clear_output()\n" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false, | |
"slide_step": false | |
} | |
}, | |
"outputs": [], | |
"prompt_number": 195 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"initial_stacks = (([5,4,3,2,1],\"L\"),([],\"M\"),([],\"R\"))\n", | |
"check_stacks(sort_stacks(initial_stacks))\n", | |
"print_han(initial_stacks); time.sleep(0.5);\n", | |
"clear_output(); \n", | |
"print_han([([5,4,3,2],\"L\"),([1],\"M\"),([],\"R\")])" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false, | |
"slide_step": false | |
} | |
}, | |
"outputs": [], | |
"prompt_number": 186 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"Indexing Quiz: \n", | |
"`x = ([1,2,3],'A',('B','C'))`\n", | |
"\n", | |
"What is `x[1]`? \n", | |
"A. `'A'` \n", | |
"B. `[1,2,3]` \n", | |
"C. `('B','C')` \n", | |
"D. `1` \n", | |
"E. `2` " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"Indexing Quiz Rd 2: \n", | |
"`x = ([1,2,3],'A',('B','C'))`\n", | |
"\n", | |
"What is `x[2][1]`? \n", | |
"A. `'A'` \n", | |
"B. `'B'` \n", | |
"C. `'C'` \n", | |
"D. `('B','C')` \n", | |
"E. None of the above " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# The recursive solution to the Towers of Hanoi\n", | |
"\n", | |
"def hanoi(n, source, helper, target, delay=0.1, printall=False):\n", | |
" if n > 0:\n", | |
" # move tower of size n - 1 to helper:\n", | |
" hanoi(n - 1, source, target, helper, delay=delay, printall=printall)\n", | |
" # move disk from source peg to target peg\n", | |
" if source[0]: # tests if source tower is non-empty\n", | |
" disk = source[0].pop()\n", | |
" target[0].append(disk)\n", | |
" print_han([source,helper,target],delay=delay,last=printall)\n", | |
" # move tower of size n-1 from helper to target\n", | |
" hanoi(n - 1, helper, source, target, delay=delay, printall=printall)\n", | |
"\n", | |
" " | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [], | |
"prompt_number": 193 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false | |
} | |
}, | |
"source": [ | |
"What does `.pop` do? It returns the last element of the list, while removing it. Example:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"L = [1,2,3]\n", | |
"print L\n", | |
"print L.pop()\n", | |
"print L" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"[1, 2, 3]\n", | |
"3\n", | |
"[1, 2]\n" | |
] | |
} | |
], | |
"prompt_number": 570 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false | |
} | |
}, | |
"source": [ | |
"You could do the same thing with `.pop(0)` to get the *first* instead of the *last* element:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"L = [1,2,3]\n", | |
"print L\n", | |
"print L.pop(0)\n", | |
"print L" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"[1, 2, 3]\n", | |
"1\n", | |
"[2, 3]\n" | |
] | |
} | |
], | |
"prompt_number": 571 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"Source and Target are\n", | |
"`source = [4,3,2,1],\"L\"\n", | |
"target = [],\"R\"` \n", | |
"\n", | |
"So what does this snippet do? \n", | |
"`disk = source[0].pop()\n", | |
"target[0].append(disk)`\n", | |
"\n", | |
" A. Move disk 4 from the beginning of `source` to the end of `target` \n", | |
" B. Move disk 4 from the beginning of `source` to the beginning of `target` \n", | |
" C. Move disk 1 from the end of `source` to the end of `target` \n", | |
" D. Move disk 1 from the end of `source` to the beginning of `target` \n", | |
" E. None of the above \n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Bigger case: 4 disks\n", | |
"# First, move disk 3 to tower 2 so you can move disk 4 to tower 3\n", | |
"# Then, you can use the previous solution to move disk 3 & others to tower 3\n", | |
"\n", | |
"source = [4,3,2,1],\"L\"\n", | |
"target = [],\"R\"\n", | |
"helper = [],\"M\"\n", | |
"print_han([source,helper,target])\n", | |
"hanoi(len(source[0]),source,helper,target,delay=1)\n", | |
"\n", | |
"print_han([source,helper,target],last=True)\n", | |
"print source,helper,target" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | X |\n", | |
" | | | XX |\n", | |
" | | | XXX |\n", | |
" | | | XXXX |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"([], 'L') ([], 'M') ([4, 3, 2, 1], 'R')\n" | |
] | |
} | |
], | |
"prompt_number": 613 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false, | |
"slide_step": true | |
} | |
}, | |
"source": [ | |
"What *type* are the variables `source`, `target`, and `helper`? \n", | |
"A. Array \n", | |
"B. Tuple \n", | |
"C. List \n", | |
"D. Dictionary \n", | |
"E. None of the above" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Bigger case still: 5 disks\n", | |
"# First, move disk 4 to tower 2 so you can move disk 5 to tower 3\n", | |
"# Then, you can use the previous solution to move disk 4 & others to tower 3\n", | |
"# See the pattern now?\n", | |
"\n", | |
"source = [5,4,3,2,1],\"L\"\n", | |
"target = [],\"R\"\n", | |
"helper = [],\"M\"\n", | |
"print_han([source,helper,target])\n", | |
"hanoi(len(source[0]),source,helper,target,delay=0.2)\n", | |
"\n", | |
"print_han([source,helper,target],last=True)\n", | |
"print source,helper,target" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | X |\n", | |
" | | | XX |\n", | |
" | | | XXX |\n", | |
" | | | XXXX |\n", | |
" | | | XXXXX |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"([], 'L') ([], 'M') ([5, 4, 3, 2, 1], 'R')\n" | |
] | |
} | |
], | |
"prompt_number": 614 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"source = [6,5,4,3,2,1],\"L\"\n", | |
"target = [],\"R\"\n", | |
"helper = [],\"M\"\n", | |
"print_han([source,helper,target])\n", | |
"hanoi(len(source[0]),source,helper,target,delay=0.1)\n", | |
"\n", | |
"print_han([source,helper,target],last=True)\n", | |
"print source,helper,target" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | X |\n", | |
" | | | XX |\n", | |
" | | | XXX |\n", | |
" | | | XXXX |\n", | |
" | | | XXXXX |\n", | |
" | | | XXXXXX |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"([], 'L') ([], 'M') ([6, 5, 4, 3, 2, 1], 'R')\n" | |
] | |
} | |
], | |
"prompt_number": 615 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"source = [7,6,5,4,3,2,1],\"L\"\n", | |
"target = [],\"R\"\n", | |
"helper = [],\"M\"\n", | |
"print_han([source,helper,target])\n", | |
"hanoi(len(source[0]),source,helper,target,delay=0.05)\n", | |
"\n", | |
"print_han([source,helper,target],last=True)\n", | |
"print source,helper,target" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" | | | X |\n", | |
" | | | XX |\n", | |
" | | | XXX |\n", | |
" | | | XXXX |\n", | |
" | | | XXXXX |\n", | |
" | | | XXXXXX |\n", | |
" | | | XXXXXXX |\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"([], 'L') ([], 'M') ([7, 6, 5, 4, 3, 2, 1], 'R')\n" | |
] | |
} | |
], | |
"prompt_number": 616 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# The recursive solution to the Towers of Hanoi (repeated)\n", | |
"\n", | |
"def hanoi(n, source, helper, target, delay=0.1, printall=False):\n", | |
" if n > 0:\n", | |
" # move tower of size n - 1 to helper:\n", | |
" hanoi(n - 1, source, target, helper, delay=delay, printall=printall)\n", | |
" # move disk from source peg to target peg\n", | |
" if source[0]:\n", | |
" disk = source[0].pop()\n", | |
" target[0].append(disk)\n", | |
" print_han([source,helper,target],delay=delay,last=printall)\n", | |
" # move tower of size n-1 from helper to target\n", | |
" hanoi(n - 1, helper, source, target, delay=delay, printall=printall)\n", | |
"\n", | |
" " | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [], | |
"prompt_number": 204 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"<img src=\"http://web.mit.edu/kenta/www/one/fractals-6panel/kdomcobz/fractals.png\" width=800>\n", | |
"\n", | |
"<img src=\"http://i.imgur.com/DcFGH.gif\">" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"The von Koch snowflake is a nifty fractal that can be easily programmed in python or IDL. \n", | |
"\n", | |
"<iframe src=http://en.mobile.wikipedia.org/wiki/Von_Koch_snowflake?useformat=mobile width=700 height=350></iframe>\n", | |
"\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# The von Koch snowflake is defined by taking a line, subdividing it into 3\n", | |
"# parts, then replacing the central part with an equilateral triangle\n", | |
"# --BOARD--\n", | |
"# Equilateral triangles have internal angles of 60 degrees or pi/3, so we'll\n", | |
"# use a rotation matrix to determine where the vertex should be\n", | |
"rot = array([[cos(pi/3),-sin(pi/3)],[sin(pi/3),cos(pi/3)]])\n", | |
"# The recursion is pretty easy: If we're at the bottom, plot, otherwise, keep going\n", | |
"def recursive_vonKoch(level, A, B, points, color='r'):\n", | |
" if level == 0:\n", | |
" points.append(A)\n", | |
" points.append(B)\n", | |
" # this is really what we want to do, but it turns out the \n", | |
" # \"plot\" operation is pretty slow\n", | |
" #plot(*zip(A,B),color=color)\n", | |
" else:\n", | |
" # at each step, subdivide the line A-B into A-C, C-D, and D-B\n", | |
" C = (B-A)/3. + A\n", | |
" D = (B-A)/3.*2 + A\n", | |
" # Then replace the line C-D with the lines C-E and E-D that \n", | |
" # make up the two other sides of the equilateral triangle\n", | |
" E = dot((D-C),rot) + C\n", | |
" recursive_vonKoch(level-1, A, C, points, color=color)\n", | |
" recursive_vonKoch(level-1, C, E, points, color=color)\n", | |
" recursive_vonKoch(level-1, E, D, points, color=color)\n", | |
" recursive_vonKoch(level-1, D, B, points, color=color) " | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [], | |
"prompt_number": 170 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Do the plots\n", | |
"for ii in xrange(8):\n", | |
" # make it look nice\n", | |
" figure(figsize=[10,4]); gca().set_aspect('equal') \n", | |
" title(\"von Koch snowflake level=%i\" % ii)\n", | |
" points=[]\n", | |
" recursive_vonKoch(ii,array([0,0]),array([1,0]),points)\n", | |
" plotpoints = array(points)\n", | |
" plot(plotpoints[:,0],plotpoints[:,1])\n", | |
" show()" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"png": 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69WoYGvJSNiIiImq9FGmdJCL44osvYGdnh549eyI5ObnR+dHR0Zp/BwYG8lZgIiIiahGS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\nY0FGREREpLD/A33YmSbxKvrwAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1064b8b50>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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wYbjjDrjvPnNZjMhIq5OJiLfQkKWIiBNGjgR/f3NbpLlzYc8eKF/e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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1066469d0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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8+fMGt01JScGIESNK3ENm7P68h4yo6n30EbB7N7Bpk9yRkBzef1/qHU1MlDsS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\nv9/GHbs0AAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x106656dd0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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VD2P5JufC9u24+H6uXuwhIwBAdra8FXr7drlwbUAAsGMH0KmT0pFRdbg738HB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\nrF8v5waLirJdXHerXVuOY3r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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x10af5f850>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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Q1q8XqVlT5Pp109qtWiXSqpVIVpZ5533hBTV9bYrsbJFHHhFZtEikSRORn34y\n75ykXX+Tc+H41ga/zx0LEzInNHGiSKlSIkuXmt4mJ0ekQweRxYuLfr7fflPT1ikpprc5cEDExUWk\ne3d1bjKftfubnAvHt7b4fe44zM1beJelHXvrLaBcuaJVftbpgKZNgTNnin6+f/4B6tUDKlQwvU3b\ntsAHHwA9euS+i4iKztr9Tc6F41tb/D4n1iFzMsePA507A1FRxmvfFCQ7G3joIeCdd4C+fUsmPrKs\n4vQ3OReOb/vD73PbZG7ewoTMiYio54z16gW8+qp577Fzpyr4FxWl/jVHtssS/U3OhePbfvD73Hbx\n0UlUqA0bgIsXgZEjzX+Pzp2BgABg3jzLxUUlwxL9Tc6F49t+8Pvc8XCGzEmkp6u1Bp98ov5VVRzn\nzgFt2qjKzbVrWyY+sixL9jc5F45v28fvc9vGRydRgT7+GMjMBBISgIiI3PvKlVOP4XAx8tuweTNw\n+XLe7b6+wJQpwPLlJRMvFY+5/U3OhePbPvH73DHxK9lJuLsDgYHAjh159x06BMTHA6+9lnv7L78A\nI0aoh9jer2FD9Zw1sk3m9Dc5F45v+8Xvc8fES5aEqCigY0fgxAmgRg21LStLPWh22jT1ry1yHMb6\nm5wLx7fj4ve59rion8zm5we88ALw7rt3ty1erAZznz7axUUlw1h/k3Ph+HZc/D63X5whIwBAUpJa\nR7B1K1Cnjvp5+3agRQutI6OScG9/t2ypdTRkTYmJHN+Ojt/n2rJ6HbLExET0798fMTEx8Pb2xurV\nq1G1atU8xw0bNgwbN26Eu7s7jh07VuT2TMis57PPgNWrgWbNVNHATz/VOiIqSXf6e8cOVt12JmPG\nqEtYHN+Ojd/n2rF6QjZx4kRUr14dEydOxOzZs5GUlITw8PA8x+3ZswcVK1bE4MGDcyVkprZnQmY9\nWVmqcvPFi8DffwPVq2sdEZWkO/0dFsZ1Jc7izvqiqCiOb0fH73PtWH0N2fr16xHy70O3QkJCsHbt\nWqPHdejQAa6urma3J+txcVG3PX/zDQevMyhdGvDwAK5e1ToSspbkZPXswooVtY6EShq/z+2P2QnZ\npUuX4OHhAQDw8PDApUuXrNqeSkarVsCTT2odBVnDTz8BsbHq0SnkHNq3V7MmH3ygdSRkDfw+ty8F\n1iELCgpCQkJCnu0zZszI9Vqn00FXjEUohbUPCwsz/BwYGIjAwECzz0VEqtL3uHHAwoVAmTJaR0PW\nNHeuqszEEA1ZAAAd0klEQVQeEsLK7ESWoNfrodfri/0+Zq8h8/X1hV6vh6enJ+Lj49G5c2ecPHnS\n6LHR0dHo1atXrjVkprbnGjIiy3v/fWD3bvU8PHI+b76p1haxMjuR5Vl9DVlwcDAi/n1mQ0REBHr3\n7m3V9kRknkuXgNmz+UBhZzZliqrcvn+/1pEQ0R3FKnvRr18/nD9/PlfZiri4OISGhmLjxo0AgIED\nB2LXrl24du0a3N3dMX36dAwdOjTf9nkC5AwZUZHt2gUcPmx837Zt6sHE779v3ZjItixfrtaS/Xtv\nVR516wLPPmvdmIgcgdXLXlgLEzKiops4EVixAnjuubz7ypUDJk8GKle2flxkO3Jy1EypsYdN79wJ\neHoCW7ZYPy4ie8eEjIgMWI2dzHWnyvu2bfzdITIHEzIiyuXTT4E1a9RaIVbiJ1ONHavuwv3sM60j\nIbJPTMiIKJesLKB1a2DaNFbiJ9OcOAF06qT+W6OG1tEQ2ScmZESUxy+/AKGh6i/YsmW1joZsmQjQ\nvTvQo4eaJSMi81i97AURWVdmJvDjj0Vr06UL0LIl8PHHJRMTOY6ffwZiYoDRo4vWbvt2tWaRiIqH\nCRmRnfj8c3XpcevWorUrWxbIyCiZmMhxZGQADzxQtPWG584BTz0FTJpUcnEROQtesiSyA1evAv7+\nwOuvq4cFR0aa9sijvXuB558HoqLUQ6WJ8iMCdO4MDBgAjBxpWpu+fYH69YGvvwY2bVLPySRydlxD\nRuTARo8GSpVSlx67dQN69QJefbXgNjk56pmFEyYAAwdaJ06yb5GR6vfr5EnA1bXgY3fuVA+mj4pS\n/0hYvlw9jot39JKzY0JG5KCOHVNrwU6eBNzcgOPH1UzGiRNA9er5t1u6FFiyRM2S8S9JMtXIkap4\n8Pz5+R+TlQU8/DDwzjtqliw7GwgIUAWH+/e3XqxEtogJGZEDElHJ2LPP5l5s/eqragbsk0+Mt7tx\nA2jSRD08PCDAOrGSY7hyRV0e370b8PMzfsznnwMrV6pZsjvJ/u7dwKBBasasfHnrxUtka5iQEdmp\n6Gg1m2XM5ctqhisyEnBxubv9TiX+YcPUQuz7HT4MuLvn/75EBfnwQ/Xore7dje9ftEjdldmqVe7t\n/furmwOaNzfermdPoF07y8ZKZGtY9oLITiUnA++9B9y6pZKue//UqgWsWpU7GQPUpcs1a9RMxP1t\nXFyARx/lw8PJfKNHq3WHxn63XFyAhQvzJmOAWuMYEJD3+FKlgLlzgdOnrf9ZiOwFZ8iIbMDQoaoy\n+pw5WkdCZHnffKOStf37VXJG5Mh4yZLIjsXHq8s8+/YBjRppHQ2R5aSmqsvr338PtG+vdTREJY+X\nLInsWM2awBtvqBIVRI4kPBwIDGQyRlQYzpAR2Yj0dKBpU+DTT4GuXbWOhqj4oqPVmrLISMDLS+to\niKyDM2REdu7BB9XC5/HjtY6EyDLeegt47TUmY0SmYEJGZENSU1VRTiJHUL68+p0mosLxkiWRjeDi\nZ3I0CQlAs2a8WYWci9UvWSYmJiIoKAiNGzdG165dkZycbPS4YcOGwcPDA83vqxQYFhYGLy8vtG7d\nGq1bt8aWLVvMDYXIIYSHA506MRkjx+HpyZtViExldkIWHh6OoKAg/P333+jSpQvCw8ONHjd06FCj\nyZZOp8O4ceNw5MgRHDlyBN3zKwlN5ASio4HPPgNmz9Y6EiLLGjtWPX912zatIyGybWYnZOvXr0dI\nSAgAICQkBGvXrjV6XIcOHeDq6mp0Hy9FEilvvKH+4uLiZ3I0d25WGTtWPZSciIxzKfwQ4y5dugQP\nDw8AgIeHBy5dulTk91iwYAGWL1+OgIAAzJs3D1WrVjU3HCK7tX+/egxS5crAK6/k3f/ii8Ajj1g/\nLqKiio4GPvhAPfj+XiLAuXPAsmVAaKgmoRHZvAITsqCgICQkJOTZPmPGjFyvdToddDpdkU48atQo\nvPvuuwCAd955B+PHj8eSJUuMHhsWFmb4OTAwEIGBgUU6F5Et8/YGFiwwvu/yZeCFF9Qln7JlrRoW\nUZH997/q+avGnnM5Z456xiqRo9Hr9dDr9cV+H7PvsvT19YVer4enpyfi4+PRuXNnnDx50uix0dHR\n6NWrF44dO1bk/bzLkpxd795qhmzyZK0jIcrfpk3A668Dx44BDzygdTRE2rH6XZbBwcGIiIgAAERE\nRKB3795Fah8fH2/4+ccff8xzFyYRKXPnqj/3DBkim5KRoZKxDz5gMkZkLrNnyBITE9GvXz+cP38e\n3t7eWL16NapWrYq4uDiEhoZi48aNAICBAwdi165duHbtGtzd3TF9+nQMHToUgwcPRmRkJHQ6HerX\nr49FixYZ1qTlCpAzZESYNEldvly2TOtIiPKaPx/YulXNkhVx9QqRwzE3b2FhWCI7cOOGKhq7bh3Q\npo3W0RDddfmyegbr7t2An5/W0RBpjwkZkYNbsgRYsQL45RetIyG66/XXgexs4OOPtY6EyDbw4eJE\nDi4mRlU+J7Ilnp7A+fNaR0Fk/zhDRmQHYmKAhx4CIiOBOnW0joborrQ0wN8fWLwYeOIJraMh0h5n\nyIgc2MSJwGuvMRkj21O2LDBvHivxExUXEzIiG7d7t6rmzwc0k63q3Rvw8AAWLdI6EiL7xUuWRDYs\nOxsICFBFYfv31zoaovwdOwZ06QJERQHVqmkdDZF2eJclkZ366y9g1izj+65dA27eVLNkrO9Etm70\naOCPPwAfH+P7X3wR6NHDujERWRsTMiI7deaMquM0c6bxuygffxyoWdP6cREV1c2bwIYNamb3XhkZ\nKln7/nugZ09tYiOyFiZkRHZs4kTg6lVg6VKtIyGyPFbyJ2fChIzIjt24ATRpomYXAgK0jobIcq5c\nUWUxWMmfnAUTMiI7t2SJmiHbu5ezCOQ4Ro5UpTE+/FDrSIisgwkZkZ3LzgbatlXlLQYO1DoaouI7\nehTo2hU4eRJwddU6GiLrYEJG5AD0emDIECA6WuNAiCwgOBgICgJefVXrSIish5X6iRxAZCTg66t1\nFESW4eurfqeJqHCcISOyEVz8TI6GN6uQM+IlSyI7N3Ik8OCDwEcfaR0JkeUsWQIsWwbs2cObVcg5\nMCEjsmNc/EyOKjsbaNNG1dobMEDraIhKHhMyIjsloqrx9+sHjBqldTRElrdnD/DCC+ofHOXLax0N\nUckyN29xKYFYiKgIduxQd1eWKaPW2txv5Eh1t9r9Pv0U+Okn4+/p4gKEh6s1aZaQlKTiSEkxvr9Z\nM2D27LyXpCIjgbffBnJyjLfr2xcYNswyMdqLHTuAuXPz3++o/X31KrBoEfD665aJkcjRmD1DlpiY\niP79+yMmJgbe3t5YvXo1qlatmuuYCxcuYPDgwbh8+TJ0Oh1eeukljBkzxuT2AGfIyPGlpKgZBGOu\nXAEmT1YzC1Wq3N3+99/Ao48CX34JPPBA3nZ79wL79qm//C2xbue114DLl4FBg4zvHz8emDMH6NXr\n7racHKB9e/XsQmMLum/fBl56CThyBKhbt/gx2oO0NHXDxhtvAN7eefc7cn8DQOvWfC4rOT6z8xYx\n0xtvvCGzZ88WEZHw8HCZNGlSnmPi4+PlyJEjIiKSkpIijRs3lqioKJPb/5ssmhsikUMYNkxkwoTc\n2556SmTOnPzbZGaKNGsm8sMPxT//8eMi1auLXL6c/zGbN4v4+Iikp9/dtny5SNu2ItnZ+bd7912R\n/v2LH6O9mDFDpE+fgo9x5P4mcgbm5i1mZztNmjSRhIQEEVGJV5MmTQpt8/TTT8v27duL1J4JGTm7\n+HiRatVETp1Sr+/8ZZiWVnC77dtFvL1Fbt82/9w5OSJdu4p8+GHhx/bsKfL+++rnlBSRWrVEfvut\n4DapqSJeXiK7d5sfo724eFHEzU3k7NmCj3Pk/iZyBlZPyKpWrWr4OScnJ9drY86dOyd169aVlJSU\nIrVnQkakZkeeekokI0PE11dk/XrT2vXpo2ZlzLVhgzpfRkbhx546pRKJhASRN98UefFF086xYoVI\n69YiWVnmx2kPBg0SmTLFtGMdub+JHJ25eUuBa8iCgoKQkJCQZ/uMGTMQEhKCpKQkwzY3NzckJiYa\nfZ/U1FQEBgbi7bffRu/evQEArq6uJrXX6XSYOnWq4XVgYCACAwMLugpL5HDS09VC6hYtgNRUYMsW\n09YK/fOPej7mn38CtWoV7ZwZGUDTpsCCBUD37qa1mTABiIoCDhxQpTxq1y68jQjQoQMwdCgwfHjR\nYrQXBw4Azzyj1oZVqlT48Y7c30SORq/XQ6/XG15PmzbNumvImjRpIvHx8SIiEhcXl+8lx4yMDOna\ntavMnz/frPbFCJHIoaxfL1K6tFrjUxRjx4q89lrRz7dkiUjnzkVrk5wsUqOGyHvvFa3dr7+K1KxZ\ntDb2pHt3kc8+K1obR+5vIkdmbt5i9rMsg4ODERERAQCIiIgwzHzdl+xh+PDh8Pf3x9ixY4vcnoju\neuop4Ny5opU2yM4Gdu0C2rUr+vkCAoDjx4F8Jr6NqlJFlT6YPLlo59LrzYvRXrRrp/qhKBy5v4ko\nr2KVvejXrx/Onz+fq2xFXFwcQkNDsXHjRuzduxcdO3ZEixYtoPt3vn3WrFno3r17vu3zBMiyF0Rm\nK+5ja0aNUmUWSvJxTrGx6tLc778DDRqU3Hm0dOuWetD2t9+qy7MlxR76m8jRsVI/EeVy58HOP/0E\nPPywee9x54Hnu3ZZrujo/QYPVmuPZs0qmfe3Fd99pwrC/v47UMrsaxP5s5f+JnJ0TMiIKJeJE4Fr\n19SsSXF8+CGwebPpC8uLoqiL3e3ZnZsXhg0rmacT2EN/EzkDJmREZHD6tKqa/tdfgKdn8d4rM1Nd\nUnz/fbWuyVJyclT1+VGjgJAQy72vLfvjD1Xd/tQpoHJly72vPfQ3kbNgQkZEBsOHA//3f+oS1v3K\nlVPrjO5/dM+tW8CAAeqROfe7cEGVUfj9d8vFuGUL0KMH0KaN8Ut4Y8YAzz9vufNZ07596vFCxp7p\nGBkJTJ+uZrQsxR76m8hZMCEjIoP4eCAmxvi+NWuA6Gj133tNm6aeK5nfHXM1agANG1ouxvR0dT5j\nLl9WSUZUFFC9uuXOaQ1ZWWoN1/DhqiaYMb6+gJF7mMxmD/1N5CyYkBGRSW7fVgu2ly4FOndW286f\nVw9+PnwYqFdP2/juGDNGJTeffqp1JEXz+efAypXAzp22sQbLXvqbyFEwISMik61ZA/zvf8ChQ4CL\nCzBwINC4sZo1sRWJiYCfH7B9O9C8udbRmCYpSc1+/fwz0KqV1tHcZQ/9TeQomJARkclE1GzJgAHq\nET3PP68uD1aooHVkuX36qUomfvnFNmabCjN2LJCWpmbJbIm99DeRI2BCRkRFEhkJdOsG1KypFpjb\n4gL6rCx1aW36dKBPH62jKVhUFNCxI3DihFp/ZWvsob+JHAETMiIqspEjgWPHgL17bXcG6v/+D5gx\nQ11us2VDh6r1WGFhWkeSP3vobyJ7x4SMiIosK0tdYqtYUetI8jdkiJrVsfVK/itWAPPmlVwlfkuw\nh/4msndMyIjI4Rw8qC5V2kMlfxHgscdUuYuSqMRPRPaBCRkRORQRVcn/5ZfVLJk9KKlK/ERkP8zN\nW2x0Yp2InN2KFeoS2+DBWkdiuoAAoHt3teaNiKgoOENGRDYnNVXV81q9Ws2S2ZP4eFU3bd8+oFEj\nraMhImszN29xKYFYiIgKtWcPMGKE8X03bwKBgfaXjAF3y0o8+ijg5mb8mIkT1VozIqI7OENGRJq4\ndk3NIC1ebLwSf4MGQJky1o/LEkSAs2eB7Ozc25OSgKAglYzaUiV/IrIcLuonIruzcCHw44/q8UjO\nUBfr9deBW7eARYu0joSISgoTMiKyO1lZaqbovfeA3r21jqZknTwJdOhgu5X8icgymJARkV3atk1V\nkD9xAnjwQa2jKTlPPgk88QQwbpzWkRBRSbJ62YvExEQEBQWhcePG6Nq1K5KTk/Mcc+HCBXTu3BlN\nmzZFs2bN8PHHHxv2hYWFwcvLC61bt0br1q2xZcsWc0MhIjsWFKQeeP3hh1pHUnI2bVJryl55RetI\niMhWmT1DNnHiRFSvXh0TJ07E7NmzkZSUhPDw8FzHJCQkICEhAa1atUJqaioefvhhrFu3Dr6+vpg2\nbRoqVaqEcYX8c5EzZESO79AhoGtXtdDfET3+uKqnZi8FbonIfFafIVu/fj1CQkIAACEhIVi7dm2e\nYzw9PdHq31uJKlasCD8/P8TGxhr2M9EiIgD49lvg2We1jqLkPPMM8M036u5LIiJjzE7ILl26BA8P\nDwCAh4cHLl26VODx0dHROHLkCNq1a2fYtmDBArRs2RLDhw83esmTiBzfyZPA11+rhf2OauRIVTB2\n/XqtIyEiW1VgYdigoCAkJCTk2T7jvueC6HQ66Aq4Zz01NRV9+/bFRx99hIoVKwIARo0ahXfffRcA\n8M4772D8+PFYsmSJ0fZhYWGGnwMDAxEYGFhQ2ERkR8aNA6ZMAdzdtY6k5Li4qDVyI0eqRys58s0L\nRM5Gr9dDr9cX+33MXkPm6+sLvV4PT09PxMfHo3Pnzjh58mSe4zIzM/HUU0+hR48eGDt2rNH3io6O\nRq9evXDs2LG8AXINGZHD2rRJ1eY6dgx44AGtoyl5Tz+tKvhPmqR1JERUUqy+hiw4OBgREREAgIiI\nCPQ2UkRIRDB8+HD4+/vnScbi4+MNP//4449obqxUNxE5rIwMlYx98IFzJGMAMHcu8P776vIlEdG9\nzJ4hS0xMRL9+/XD+/Hl4e3tj9erVqFq1KuLi4hAaGoqNGzdi79696NixI1q0aGG4pDlr1ix0794d\ngwcPRmRkJHQ6HerXr49FixYZ1qTlCpAzZEQOadMmoGdPoFo141X6J04E3ngj7/aXXwb+7/+Mv6eL\nC7B8uSqlYQlnz6r3Skkxvr9ZM1VHzeW+xR8bNqjndObk5G2TlKTWy02ebJkYici2sDAsEdkVEeDq\nVeP7Ll8GOnZU5TC8ve9u37VLlY/47Tfjs2q7dgFvvw38+adlZt369AFatwZGjTK+f8AAdQfl6NF3\nt92+Dfj5AZ98ArRta7ydq2veJI6IHAMTMiJyKNOnA3/9BaxerV5nZwMPPwy8+SbQr5/xNiKqIn7X\nrupyaHFs365m444fB8qWNX7MsWNAly5AVJSa6QPU7FdkJLBmTfHOT0T2iQkZETmUW7fUTNPy5UCn\nTsAXX6jyGLt2Ffwg8qgoNbtWnGdG3nnG5v/+p2bJCjJ6NFCqFLBgAXDxItCyJfDHH0D9+uadm4js\nGxMyInI4q1cDM2cCO3YA/v7A5s3qEmJhXn9dXTr8/HPzzvvJJ2qd2vbtBSd/gHq6gJ+fijE8XF1i\ndeSaakRUMCZkRORwRNTsWGKiKhexeLFp7ZKSVJK0ZYua6SqKOwnWL78Apt78vWAB8NlnwI0bqtDt\nv+UWicgJWb3sBRFRSdPpgI8+UolOUWadXF2BYcNUklRUK1eqxfhFqcQzciRQrpwqacFkjIjMwRky\nIrJ5IoVfOrzXzZuAr69Krv7zn6KdKy4OaNECOHAAaNiw5GIkIsfEGTIiclhFTXTmzAE6dCh6MgYA\ntWoB48cDEyYUrR2TMSIqDs6QEZFDiYkBHnpIlZ6oU8e890hLUzcRfPGFKmtBRGQqzpAREUFV+B8z\nxvxkDFB1x+bOBcaOVSUwiIhKGhMyInIYe/YA+/YZf+RSUfXpo+qYmXpnJxFRcTAhIyKHEREBXLgA\nVK6sHk10759KldRC/fslJKh1Y/cfX6YMoNcDX31l7U9BRM6Ia8iIyGHk5Bh/oDcAfPst8Omnagat\n1D3/FB0+XJXJCA833q5UqdzHExEVhIVhiYgKkJOjisv+97/qAeWAesRRr16qmGuVKtrGR0SOgQkZ\nEVEhDhwAnnnmbjX9xx5TBWSHD9c6MiJyFEzIiIhMMHgw4OWlKvHPnQscPAiULq11VETkKJiQERGZ\nIDYWaNkSeOABYNUqVUCWiMhSzM1bXEogFiIim1W7NvDWW8BffzEZIyLbwRkyIiIiIgthpX4iIiIi\nO2V2QpaYmIigoCA0btwYXbt2RXJycp5j0tLS0K5dO7Rq1Qr+/v6YMmVKkdqT/dPr9VqHQGZi39k3\n9p/9Yt85J7MTsvDwcAQFBeHvv/9Gly5dEG6kqmLZsmWxc+dOREZG4s8//8TOnTvx66+/mtye7B+/\nWOwX+86+sf/sF/vOOZmdkK1fvx4hISEAgJCQEKxdu9boceXLlwcAZGRkIDs7G66urkVqT0REROTo\nzE7ILl26BA8PDwCAh4cHLl26ZPS4nJwctGrVCh4eHujcuTP8/f2L1J6IiIjI0RV4l2VQUBASEhLy\nbJ8xYwZCQkKQlJRk2Obm5obExMR8T3T9+nV069YN4eHhCAwMhKurq0ntdTqdyR+GiIiISGsWr0O2\nbdu2fPd5eHggISEBnp6eiI+Ph7u7e4E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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x106465f10>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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nxQJHjDA6msKxcyfw0kt6F1KZMkZHU7hssb/JtnB829b4tuX+BriWpVWxs9M7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\njpAo/wUHByP43sLCeWB2HbK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BZs2aoVmzZli/fr25oRCRBerSBTh/Xie8ly0LfPaZ0REV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\nTAAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1064211d0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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VKlWwadOmlO0ePXqgR48e6fZbtmyZpae2e4mJ+jh2LDB0qKGh5IvJk4FOnYAn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\nAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x10a91ac90>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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zs4IQze7wYe09eECI48d1t11c9J9X+hhAiJgY3e2xY80X49q1utd+8UUh6tXT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\n+/btw6JFi8zwcYjIWqj7i40eLZ9CzMu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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x10af5f850>" | |
] | |
} | |
], | |
"prompt_number": 171 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Follow-up of the Koch snowflake: a fractal landscape\n", | |
"def landscape(level, A, B, points, scale=1.0):\n", | |
" \"\"\"\n", | |
" A randomly generated fractal landscape\n", | |
" In this case, \"fractal\" doesn't mean that it looks *exactly* the same\n", | |
" at every scale, just *almost* the same at every scale\n", | |
"\n", | |
" Parameters\n", | |
" ----------\n", | |
" A,B : arrays\n", | |
" A and B must both be 2-element arrays:\n", | |
" A=[x0,y0]\n", | |
" B=[x1,y1]\n", | |
" points : list of arrays\n", | |
" A list of arrays of points\n", | |
" (technically, this doesn't HAVE to be used, but it makes plotting\n", | |
" much faster)\n", | |
" scale : float\n", | |
" A number to scale the random number by when changing the Y value\n", | |
" \"\"\"\n", | |
" if level == 0:\n", | |
" #points.append(A)\n", | |
" points.append(B)\n", | |
" else:\n", | |
" # at each step, subdivide the line A-B into A-C, C-B\n", | |
" C = (B-A)/2. + A\n", | |
" # then add some random number to the Y value of point C\n", | |
" C[1] += randn()*2**level * scale\n", | |
" landscape(level-1, A, C, points,scale=scale)\n", | |
" landscape(level-1, C, B, points,scale=scale)" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [], | |
"prompt_number": 253 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"for ii in xrange(1,10,2):\n", | |
" # make it look nice\n", | |
" figure(figsize=[10,4]); \n", | |
" title(\"landscape level=%i\" % ii)\n", | |
" points=[array([0,0])] # points includes the starting point\n", | |
" # Reset the random seed\n", | |
" np.random.seed(42)\n", | |
" landscape(ii,array([0,0]),array([1,0]),points,scale=1./ii)\n", | |
" plotpoints = array(points)\n", | |
" plot(plotpoints[:,0],plotpoints[:,1])" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"png": 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kIu4uNdX0XV1/Pcycae4kFLkS9ViJ2/vmG9NPFRYGK1aoqBIRxwgKgnXrTEHV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\n/g+oKGupvdb3uwAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x11759d6d0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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69wamTQN27JA3EpSBA0LJoTRqJLNY3nxTdyRk7z77TA7D3blT5qUR5YVSMjfN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\nrkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x11753aa10>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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v2VJmyIjIfJw2obpyRbZuR0QARYtabBjS4NgxOaj3xx/lfDI9nDghPYE6d368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\nSUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x117529410>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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Sde0K/PcfEBqqdiSUHo5IEZHZiYsD3noLWLpU9i0jsnRDhwL588viCjIMXfMW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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x118b0c350>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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3bkCRIuaLicicdDppWbJxo9aR0Isw0SIiq3D7tvQOGjtWts9p105ebIhslZ+f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\nIQAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1175354d0>" | |
] | |
} | |
], | |
"prompt_number": 548 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"You can create a fractal landscape in 2 dimensions. This means you will have 3D points, e.g.: \n", | |
"`A = [0,0,0]` \n", | |
"`B = [1,0,0]` \n", | |
"`C = [1,1,0]` \n", | |
"`D = [0,1,0]` \n", | |
"representing the corners of a square. However, in order to do this myself, I needed to make use of *interpolation*, which I'll explore next class if at all." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# this is a \"3D representation\" of the 1D landscape\n", | |
"points=[array([0,0])]\n", | |
"np.random.seed(0)\n", | |
"landscape(7,array([0,0]),array([1,0]),points,scale=1./7)\n", | |
"plotpoints = array(points)\n", | |
"\n", | |
"fig=figure()\n", | |
"# You need this little trick to make a 3D plot\n", | |
"ax = fig.add_subplot(111, projection='3d')\n", | |
"# Need to create your X and Y \"index\" arrays\n", | |
"X = np.outer(np.ones(plotpoints.shape[0]),plotpoints[:,0])\n", | |
"Y = np.outer(plotpoints[:,0],np.ones(plotpoints.shape[0]))\n", | |
"Z = np.outer(plotpoints[:,1],np.ones(plotpoints.shape[0]))\n", | |
"# Lots of junk in this command, mostly display stuff\n", | |
"ax.plot_surface(X,Y,Z, rstride=1, cstride=1, facecolors=cm.gist_earth(Z/Z.max()),\n", | |
" linewidth=0, shade=False, antialiased=False)\n", | |
"ax.view_init(12, 60) " | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"png": 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Dhw7F4cOH0a9fv5SPnTZtGurq6pSZ6GVxA8CYZQ8aXVQAbIo0VViTLonUHNQi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\nioqUyXYmTJigfBE++eQTbN+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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x10b478510>" | |
] | |
} | |
], | |
"prompt_number": 275 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Creating a 2D landscape...\n", | |
"def landscape2D(level, A, B, points, scale=1.0):\n", | |
" \"\"\"\n", | |
" A randomly generated fractal landscape\n", | |
" In this case, \"fractal\" doesn't mean that it looks *exactly* the same\n", | |
" at every scale, just *almost* the same at every scale\n", | |
"\n", | |
" Parameters\n", | |
" ----------\n", | |
" A,B,C,D : arrays\n", | |
" A..D must be 3-element arrays:\n", | |
" A=[x0,y0,z0]\n", | |
" B=[x1,y1,z1]\n", | |
" etc.\n", | |
" points : list of arrays\n", | |
" A list of arrays of points\n", | |
" (technically, this doesn't HAVE to be used, but it makes plotting\n", | |
" much faster)\n", | |
" scale : float\n", | |
" A number to scale the random number by when changing the Y value\n", | |
" \"\"\"\n", | |
" if level == 0:\n", | |
" #points.append(A)\n", | |
" points.append(B)\n", | |
" else:\n", | |
" # at each step, subdivide the square\n", | |
" C = np.mean([A,B],axis=0)\n", | |
" D = array([A[0],B[1],C[2]]) # corner 1\n", | |
" E = array([B[0],A[1],C[2]]) # corner 2\n", | |
" # then add some random number to the Y value of point C\n", | |
" C[2] += randn()*2**level * scale\n", | |
" landscape2D(level-1, A, C, points,scale=scale)\n", | |
" landscape2D(level-1, C, B, points,scale=scale)\n", | |
" landscape2D(level-1, C, D, points,scale=scale)\n", | |
" landscape2D(level-1, C, E, points,scale=scale)\n", | |
"\n", | |
"import scipy.interpolate\n", | |
"\n", | |
"def make_landscape2d(level):\n", | |
" points=[array([0,0,rand()])]\n", | |
" P = landscape2D(level,points[0],array([1,1,rand()]),points,scale=1./level)\n", | |
" plotpoints = array(points)\n", | |
" X,Y = meshgrid(linspace(0,1),linspace(0,1))\n", | |
" Z = scipy.interpolate.griddata(plotpoints[:,:2],plotpoints[:,2],(X,Y))\n", | |
" Z -= Z.min() # make all above 0\n", | |
" \n", | |
" fig=figure()\n", | |
" # You need this little trick to make a 3D plot\n", | |
" ax = fig.add_subplot(111, projection='3d')\n", | |
" # Lots of junk in this command, mostly display stuff\n", | |
" ax.plot_surface(X,Y,Z, rstride=1, cstride=1, facecolors=cm.gist_earth(Z/Z.max()),\n", | |
" linewidth=0, shade=False, antialiased=False, norm=matplotlib.colors.LogNorm())\n", | |
" ax.view_init(50, 60) " | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [], | |
"prompt_number": 598 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"for ii in xrange(1,8,2):\n", | |
" np.random.seed(42)\n", | |
" make_landscape2d(ii)" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"png": 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3J+Anf9wdj6z8SnifMeII8TadvA9UICKdmJhg1RFRvx+dCTZxH52WoQHBigsa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\n30040YglAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x10f43d1d0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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N4oo4ZkCLDomzS/VW+vrv+9LNhfEqSTb1bYHyDhNVMbrkI1N0Q1Ofl3OO1dXV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EAAAP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\nRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x10d0818d0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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G+a9M8OlSeF4T3PHAHQ+en9dta95KtpiI4i1E8VahNng7EEqhOSTNQ0MPhkQp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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x12c901710>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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oWTTLmjEKhQJKpVJfmzHi0I8Lz4e/ew0AYKKl1+WESOuwFSQsh/T/ZEgjRVmS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OAAAH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\nrlXOAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x12ef2d250>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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4Jdf3uqQGiaKmoqipsBmFzeLlAP47yCoFAB5Rj46Oit8TXz9oiM4hV09UKpWe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"text": [ | |
"<matplotlib.figure.Figure at 0x12c873610>" | |
] | |
} | |
], | |
"prompt_number": 600 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"Recursion application - a sorted binary tree\n", | |
"\n", | |
"One application that uses both recursion and linked lists is a sorted binary tree. The binary sort is a fast way to sort data, much faster than similar naive approaches. It relies on a data structure called a *binary tree*. Trees have roots and branches, but binary trees are generally drawn with their roots at the top and branches below.\n", | |
"\n", | |
"Binary trees consist of `nodes` and `pointers`, just like linked lists. But unlike linked lists, they have two pointers - a `left` and a `right` pointer.\n", | |
"\n", | |
"<svg width=\"145pt\" height=\"116pt\" viewBox=\"0.00 0.00 145.00 116.00\" xmlns=\"http://www.w3.org/2000/svg\" xlink=\"http://www.w3.org/1999/xlink\">\n", | |
"<g id=\"graph1\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 112)\">\n", | |
"<title>G</title>\n", | |
"<polygon fill=\"white\" stroke=\"white\" points=\"-4,5 -4,-112 142,-112 142,5 -4,5\"></polygon>\n", | |
"<!-- BinaryTree -->\n", | |
"<g id=\"node1\" class=\"node\"><title>BinaryTree</title>\n", | |
"<ellipse fill=\"none\" stroke=\"black\" cx=\"66\" cy=\"-90\" rx=\"54.5074\" ry=\"18\"></ellipse>\n", | |
"<text text-anchor=\"middle\" x=\"66\" y=\"-84.4\" font-family=\"Times,serif\" font-size=\"14.00\">BinaryTree</text>\n", | |
"</g>\n", | |
"<!-- Left -->\n", | |
"<g id=\"node3\" class=\"node\"><title>Left</title>\n", | |
"<ellipse fill=\"none\" stroke=\"black\" cx=\"27\" cy=\"-18\" rx=\"27.1809\" ry=\"18\"></ellipse>\n", | |
"<text text-anchor=\"middle\" x=\"27\" y=\"-12.4\" font-family=\"Times,serif\" font-size=\"14.00\">Left</text>\n", | |
"</g>\n", | |
"<!-- BinaryTree->Left -->\n", | |
"<g id=\"edge2\" class=\"edge\"><title>BinaryTree->Left</title>\n", | |
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"source": [ | |
"<img src=\"http://yannesposito.com/Scratch/img/blog/Haskell-the-Hard-Way/yo_dawg_tree.jpg\">" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
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"In a sorted binary tree, each `node` has a value and a left and right pointer. The rule for a binary tree is that everything to the *left* of a node must have a value less than that node, and everything to the right of a node must have a value greater than that node (duplicates are not allowed). Also, every node in a binary tree is also a binary tree that follows the same rules. \n", | |
"\n", | |
"We'll star with an example already populated with some numbers, 12, 16, and 25." | |
] | |
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"%%dot --format svg --\n", | |
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" 16 -> 25;\n", | |
"}" | |
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{ | |
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"source": [ | |
"Now we'll add 15. It goes to the left of 16, then the right of 12." | |
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"Add 11..." | |
] | |
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{ | |
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" 16 -> 25 [label=\"R\"];\n", | |
" 12 -> 11 [label=\"L\"];\n", | |
" 12 -> 15 [label=\"R\"];\n", | |
" 25 -> empty [label=\"L\"];\n", | |
" 25 -> 29 [label=\"R\"];\n", | |
" empty2 [label=\"empty\"];\n", | |
" 15 -> empty2 [label=\"L\"];\n", | |
" 15 -> 15.5 [label=\"R\"];\n", | |
"}" | |
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"%%dot --format svg --\n", | |
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" 12 -> 11 [label=\"L\"];\n", | |
" 12 -> 15 [label=\"R\"];\n", | |
" 25 -> empty [label=\"L\"];\n", | |
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" empty2 [label=\"empty\"];\n", | |
" 15 -> empty2 [label=\"L\"];\n", | |
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"}" | |
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"If you add 20 to this tree, where does it go?\n", | |
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"If you want to traverse the tree, recursion is an effective approach. \n", | |
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"Recursion in compilers\n", | |
"=========\n", | |
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\">" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%%dot --format png -- \n", | |
"/* QUIRREL (a+b*c)+5 */\n", | |
"digraph G { \n", | |
" P [label=\"+\"];\n", | |
" five [label=\"5\"];\n", | |
" plus [label=\"+\"];\n", | |
" times [label=\"*\"];\n", | |
" P->plus;\n", | |
" P->five;\n", | |
" plus->a;\n", | |
" plus->times;\n", | |
" times->b;\n", | |
" times->c;\n", | |
"}" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"png": 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w//znP/HEE0+gqKiIyR4VSUlJyMjIQE1NDZRKpeDj9ye8GR1cZGQkhg4div37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\nz59nmsve9Wfplmb09PQEALS1tQke5te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| |
} | |
], | |
"prompt_number": 618 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_start": true | |
} | |
}, | |
"source": [ | |
"Image Analysis\n", | |
"==============\n", | |
"\n", | |
"Our final project, which will be done as a group project, will be to develop an image photometry package.\n", | |
"\n", | |
"Before we get to that, thought, I need to show you some image display and analysis tools." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# we have to load some modules to get images \n", | |
"from IPython.display import Image\n", | |
"import PIL, StringIO\n", | |
"url='http://apod.nasa.gov/apod/image/0301/m38_noao.jpg'\n", | |
"img = Image(url=url,embed=True) # grab image from the web\n", | |
"I = PIL.Image.open(StringIO.StringIO(img.data)) # this only works in IPython\n", | |
"I = PIL.Image.open(StringIO.StringIO(urllib.urlopen(url).read())) # This works in any python\n", | |
"imgarr = array(I) # Turn a JPG image into a numpy array\n", | |
"imshow(imgarr)" | |
], | |
"language": "python", | |
"metadata": { | |
"slideshow": { | |
"slide_start": false | |
} | |
}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 610, | |
"text": [ | |
"<matplotlib.image.AxesImage at 0x114b96d90>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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vsLF9809q9Z8U8/vuu4++vj6OPfbYP1pBFQThT/aN/7HPSpJOJlHJy2V6NRGz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\n54wzT2dxsdYvAYkKkiSsvGn/shObnp5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wBlVI8drXn8PBg+N4bkC73WB4ZID5+XmGV43S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kAUZHK5QozKrTWxOg6yFDE40EM2o2FbJr4bIKLw8qaXGT54kPJsnVKxD0nUUeQEAiqBLyJLBlYn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PE+jTfOdb32LXnn1s3rEXNZoCUaS3o4O5fb0IZo2JfImxiUF8DzxXpl6v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efPUMlONE2zQy2O3WigqCGeYyEJAqedsoI9uw/ieyHDk0fYseM9PviBK6lUakQ0nVQ6Sb4w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\n2Ay1RotsIcXD//0wCToHDh7j8SefQ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dHfV2bJ0kX4jkMUBlx26Ts4+eSNNOotpmbbx7WE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8DsOsEPgBcRDStyyETCCfL9BqdZEVHVWp4zouGTGeF5AmIt2uNegayBmthjOY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\nIvkMHQ8x 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