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@rhydomako
Created September 19, 2017 01:01
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2017_09_20_palindromes.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Longest palindromic substring through recursion"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import networkx as nx\n",
"\n",
"from IPython.display import Image\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def is_palindrome(s):\n",
" return s == \"\".join(reversed(s))\n",
"\n",
"\n",
"def longest_palindrome_recursive(s, G=None):\n",
" \"\"\"\n",
" Examine every substring by recursion.\n",
" \n",
" - each string generates two child strings,\n",
" for example 'abcd' -> ['abc','bcd']\n",
" - terminate the recursion when we've hit a palindrone\n",
" (single letter strings are considered palindrones)\n",
" - complexity O(2^n)\n",
" \"\"\"\n",
" \n",
" if is_palindrome(s) or len(s) == 1:\n",
" return s\n",
" \n",
" else:\n",
" l = s[0:(len(s)-1)] # left slice\n",
" r = s[1:(len(s))] # right slice\n",
" \n",
" if isinstance(G, nx.classes.digraph.DiGraph): # for plotting the tree graph\n",
" G.add_edge(s,l)\n",
" G.add_edge(s,r)\n",
" \n",
" # recursion step\n",
" l_p = longest_palindrome_recursive(l, G)\n",
" r_p = longest_palindrome_recursive(r, G)\n",
" \n",
" # return the longest palindrome we've seen\n",
" if len(l_p) >= len(r_p): \n",
" return l_p\n",
" else:\n",
" return r_p"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"'tacocat'"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"longest_palindrome_recursive(\"abbatacocat\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot the palindrome tree\n",
"\n",
"* the terminating nodes are all palidrones\n",
"* sometimes we see some crossovers, where two or more branches evaluate the same sub-tree -- this is an opportunity for memoization"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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ABlDXLu1DgPePDe+ny8OUV1iGtwfsa9yjLUHJYf8Hww6PohRcf/31hr3nPcpt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4sGPj5tdxkJ0D85tbrO8PHjwoBYEgIMKZFOmerbUB/sT7rcXqK9VjiGxIJAxgXbAfgTl06FCq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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"graph = nx.DiGraph()\n",
"\n",
"assert(longest_palindrome_recursive(\"artrartrt\", graph) == \"rtrartr\")\n",
"\n",
"p = nx.drawing.nx_pydot.to_pydot(graph)\n",
"p.write_png('graph.png')\n",
"\n",
"Image('graph.png')"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"All tests passed successfully\n"
]
}
],
"source": [
"assert longest_palindrome_recursive(\"artrartrt\") == \"rtrartr\"\n",
"assert longest_palindrome_recursive(\"abacada\") == \"aba\"\n",
"assert longest_palindrome_recursive(\"aaaa\") == \"aaaa\"\n",
"print('All tests passed successfully')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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