From 653e4b3bbd68f2dce1d4bdcfa56ccf982d582221 Mon Sep 17 00:00:00 2001 From: Donne Martin Date: Mon, 4 May 2015 05:54:50 -0400 Subject: [PATCH] Added notebook solving the following: Compress a string such that aabbb becomes a2b3. --- README.md | 1 + arrays-strings/compress.ipynb | 263 ++++++++++++++++++++++++++++++++++ images/compress_string.jpg | Bin 0 -> 1550167 bytes 3 files changed, 264 insertions(+) create mode 100644 arrays-strings/compress.ipynb create mode 100644 images/compress_string.jpg diff --git a/README.md b/README.md index 108b3f0..fbba8fe 100644 --- a/README.md +++ b/README.md @@ -9,6 +9,7 @@ Continually updated IPython Notebooks containing algorithms and data structures. * [Reverse characters in a string](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/arrays-strings/reverse_string.ipynb) * [Check if a string is a permutation of another](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/arrays-strings/permutation.ipynb) * [Encode spaces in a string in-place](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/arrays-strings/replace_char.ipynb) +* [Compress a string](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/arrays-strings/compress.ipynb) ## License diff --git a/arrays-strings/compress.ipynb b/arrays-strings/compress.ipynb new file mode 100644 index 0000000..7b10ab7 --- /dev/null +++ b/arrays-strings/compress.ipynb @@ -0,0 +1,263 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Problem: Compress a String Such that 'AAABCCDDDD' Becomes 'A3B1C2D4'. Only Compress if it Saves Space.\n", + "\n", + "* [Clarifying Questions](#Clarifying-Questions)\n", + "* [Test Cases](#Test-Cases)\n", + "* [Algorithm: List](#Algorithm:-List)\n", + "* [Code: List](#Code:-List)\n", + "* [Algorithm: Byte Array](#Algorithm:-Byte-Array)\n", + "* [Code: Byte array](#Code:-Byte-Array)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Clarifying Questions\n", + "\n", + "* Is the string ASCII (extended)? Or Unicode?\n", + " * ASCII extended, which is 256 characters\n", + "* Can you use additional data structures? \n", + " * Yes\n", + "* Is this case sensitive?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "* NULL\n", + "* '' -> ''\n", + "* 'ABC' -> 'ABC'\n", + "* 'AAABCCDDDD' -> 'A3B1C2D4'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm: List\n", + "\n", + "![alt text](https://raw.githubusercontent.com/donnemartin/algorithms-data-structures/master/images/compress_string.jpg)\n", + "\n", + "Since Python strings are immutable, we'll use a list to exercise array manipulation. Note using a list vs a bytearray will will result in additional space to create the list and to convert the list to a string.\n", + "\n", + "* If string is empty return string\n", + "* count = 0\n", + "* size = 0\n", + "* last_char = first char in string\n", + "* For each char in string\n", + " * If char == last_char\n", + " count++\n", + " * Else\n", + " size += 2\n", + " count++\n", + " last_char = char\n", + "* size += 2\n", + "* If the compressed string size is >= string size, return string\n", + "* Create compressed_string\n", + "* For each char in string\n", + " * If char == last_char\n", + " count++\n", + " * Else\n", + " * Append last_char to compressed_string\n", + " * append count to compressed_string\n", + " * count = 1\n", + " * last_char = char\n", + " * Append last_char to compressed_string\n", + " * append count to compressed_string\n", + "* return compressed_string\n", + "\n", + "Complexity:\n", + "* Time: O(n)\n", + "* Space: O(m) where m is the size of the compressed bytearray" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code: List" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def compress_string(string):\n", + " if string is None or len(string) == 0:\n", + " return string\n", + " size = 0\n", + " count = 0\n", + " last_char = string[0]\n", + " for char in string:\n", + " if char == last_char:\n", + " count += 1\n", + " else:\n", + " size += 2\n", + " count = 1\n", + " last_char = char\n", + " size += 2\n", + " if size >= len(string):\n", + " return string\n", + " compressed_string = list()\n", + " count = 0\n", + " last_char = string[0]\n", + " for char in string:\n", + " if char == last_char:\n", + " count += 1\n", + " else:\n", + " compressed_string.append(last_char)\n", + " compressed_string.append(str(count))\n", + " count = 1\n", + " last_char = char\n", + " compressed_string.append(last_char)\n", + " compressed_string.append(str(count))\n", + " return \"\".join(compressed_string)\n", + "\n", + "string0 = None\n", + "string1 = ''\n", + "string2 = 'ABC'\n", + "string3 = 'AAABCCDDDD'\n", + "print(compress_string(string0))\n", + "print(compress_string(string1))\n", + "print(compress_string(string2))\n", + "print(compress_string(string3))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm: Byte Array\n", + "\n", + "![alt text](https://raw.githubusercontent.com/donnemartin/algorithms-data-structures/master/images/compress_string.jpg)\n", + "\n", + "Since Python strings are immutable, we'll use a bytearray to exercise array manipulation. We could use a list of characters to create the compressed string then convert it to a string in the end, but this will result in additional space.\n", + "\n", + "* If bytearray is empty return bytearray\n", + "* count = 0\n", + "* size = 0\n", + "* last_char_code = first char code in bytearray\n", + "* For each char code in bytearray\n", + " * If char code == last_char_code\n", + " count++\n", + " * Else\n", + " size += 2\n", + " count++\n", + " last_char_code = char code\n", + "* size += 2\n", + "* If the compressed bytearray size is >= bytearray size, return string\n", + "* Create compressed_bytearray\n", + "* pos = 0\n", + "* For each char code in bytearray\n", + " * If char code == last_char_code\n", + " count++\n", + " * Else\n", + " * compressed_bytearray[pos] = last_char_code\n", + " * compressed_bytearray[pos + 1] = count\n", + " * pos += 2\n", + " * count = 1\n", + " * last_char_code = char code\n", + " * compressed_bytearray[pos] = last_char_code\n", + " * compressed_bytearray[pos + 1] = count\n", + "* return compressed_bytearray\n", + "\n", + "Complexity:\n", + "* Time: O(n)\n", + "* Space: O(m) where m is the size of the compressed bytearray" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code: Byte Array" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def compress_string(string):\n", + " if string is None or len(string) == 0:\n", + " return string\n", + " size = 0\n", + " count = 0\n", + " last_char_code = string[0]\n", + " for char_code in string:\n", + " if char_code == last_char_code:\n", + " count += 1\n", + " else:\n", + " size += 2\n", + " count = 1\n", + " last_char_code = char_code\n", + " size += 2\n", + " if size >= len(string):\n", + " return string\n", + " compressed_string = bytearray(size)\n", + " pos = 0\n", + " count = 0\n", + " last_char_code = string[0]\n", + " for char_code in string:\n", + " if char_code == last_char_code:\n", + " count += 1\n", + " else:\n", + " compressed_string[pos] = last_char_code\n", + " compressed_string[pos + 1] = ord(str(count))\n", + " pos += 2\n", + " count = 1\n", + " last_char_code = char_code\n", + " compressed_string[pos] = last_char_code\n", + " compressed_string[pos + 1] = ord(str(count))\n", + " return compressed_string\n", + "\n", + "string0 = None\n", + "string1 = bytearray('')\n", + "string2 = bytearray('ABC')\n", + "string3 = bytearray('AAABCCDDDD')\n", + "print(compress_string(string0))\n", + "print(compress_string(string1))\n", + "print(compress_string(string2))\n", + "print(compress_string(string3))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/images/compress_string.jpg b/images/compress_string.jpg new file mode 100644 index 0000000000000000000000000000000000000000..e21885923e5b09135f8981c2daf67bc488308446 GIT binary patch literal 1550167 zcmbTdd0bLk+dm9~qGnpA=Rkr{P^6W|DFYRAC&CEKcrfFsjj+h;gvW_9nm4>J( z&X!iDR(7CLpaBhsoTDHK$8yM%)j2QczVF|2KY#rGc;9z@_GW)sdtGZ?*IIk;b*+7U z_uoT*ztbS>Pl<^F0KB}+0oninKo0-_f&oA^LatN8|6oHM0KfpK@vjnG^|^Iwtj+>d zt9L^n=wIdkk=Y2;{1udH_u&OyKQ#^0G{gHe_H%M$A5Bz`~uyH2dn_rmR7s%E!CS1 z(rS;rjg7r64qyP-a{1r&|DyvS7XkpQ50=)}mZ02!>rkSu4*VZ{OO1hf|1JYm>jlaG zuk5*e2q0W7`{bYI%l}i4m8B)H{J;8Zl>fI6LI1)3^r7Z|Fj}pIM%BN|t7`#({ukEz z4+i~nLY@9^*8Jb{AnN}3uQnQL`~Fc7fCQ?0`#)IycOBs0BNU>>&i^al=Rf#gGXEK^ zf5iWH(oomGhg0+4n*ASx)WiCZF4{V}Yt{iYfNB-NpnnupmrVa>$ieG14L4i4Xl?L4 z0og(}vS#E}Xro+P1jc@^KcQ{HDH%GtKm81aZQQyIv)#Q&MTn3l}plUH&~Qzo4+_>b2{|B{wUpc-1wvb@g}d z-fO+z*52{p$a*9yRx z|F-CV*|T14j|LbF0z>|>2dI&(-a+fZnwzb(3|)L7C&(MNSTnSZT=Obg1Ue`izfZ>D zl-IgHp>5x7{rrzf|FY=+ok1D@zbyJ6gZ{^!zefOiAobO?9<&~?7w`kUA8`Le;z=bq zQOS!8z3Nd!kMe5=B(Dax7Fry}g;Dfr1LvFCWnl_K+TjXGqRsUHVQ$kH1-D}3DZ?ksqP4~uG# za6oM)mqK+5UL=Ha*T6Z0l%nxhl{KNzxXcpTXNq@bVHfAGovk#PWD&O3a;xaK5!KL$vZY0Pl#y}Jrewsq(QNC zo^>6gA7ESpAvc9&^COsiNV6(X1ABhd1H!&pQ@m@qr20z7-jqcN#o;$jpYNWIZf}ai z`|6+{Z{xU@9=m_d72MeBqF`o8h%S$u6T-`Z#rTbZDUEnp+zlyRE@#=0no57~3S@ zHh6(>H*L$~H@cF5+=hHDYqP^!J6w(Q=!Xs(s>$J&p%f9W7i$G4A~4o2L|wFWwF z_;|?DIl#(~%u;-*CR{9f0@tu4?zm}_cB7l(c@d!R{x+B5&5MdH;RNaGDRvSl(nvrh zVliY?&!ZPOmRSEFv*=7iNN3~c)I7_lptq`HI-TM{Z$IAE`d`8fOwf6G9acGIA5R}Q z9Q6vsfyy0Ap5K>BpJ+EV-S^N7+hXR=H(jnO_R&G=$;v{cyLk0m1qu5vk2rsG&C3%B z32kjjvyD8m*tFG`um{aivP_FkYz>fT8GUB@&8%2h^z6gGhlw`dv0pqi<_*Q*5AE-G zv-9EQDJxeTWIh_j(J$=q^VqlT#>0?&qj7%FQ$6^`Hn@ZH$?iG+YTp(g=eRH?lUvPO zlpnFll(XWey-qcrh4K1R>4pflE{7c}HEiHZ@DB!4t~XXRhk`h!MfNWtpRR)C%s$or znKP9kR#Jj{0Gt)}E$G~}ozu-C9e)9ccO-8mU1Cl0LYUvnQ>^8=Mb{xbq<4vPFJDbr zn}z0@gh4X2r_7GVE*M`qBXLn3T7T|Ee$9|>>jmf-%cC5BI+DdZG%<6*G7+WeL5W4m z_gbD5cY80^! 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