Given a text txt[0..n-1] and a pattern pat[0..m-1], write a function search (char pat[], Char txt[]) that prints all Occurr Ences of pat[] in txt[]. Assume that n > M.Preprocess Pattern or preoprocess Text?We have discussed the following algorithms in the previous posts:KMP algorithmRabin Karp algorithmFinite automata based algorithmBoyer Moore algorithm All of the above algorithms preprocess the pattern to make the pattern searching faster. The best time complexity this we could get by preproce
Introduction
Suffix three sisters: suffix array, suffix automaton, suffix tree.Suffix automata: Suffix Automation, also known as Sam.The idea of the creation of the algorithm source: can construct an automaton (essentially a graph), can identify a string of all suffixes. id
Before the study of the person should still look at the Ro suffix array of the National training Team paper, although it is difficult to understand at first (anyway, I am basically completely not understand, now distance from my first read the article also passed 1 months, read a lot of other people's paper, now personal feeling also just understand a probably), But I can understand an approximateAn array of s, length Len then we always use
D. Prefixes and Suffixestime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard output
You have a stringS? =?S1S2...S|S|, Where |S| Is the length of stringS, AndSIItsI-Th character.
Let's introduce several definitions:
A substringS[I..J] (1? ≤?I? ≤?J? ≤? |S|) Of stringSIs stringSISI? +? 1...SJ.
The prefix of stringSOf lengthL(1? ≤?L? ≤? |S|) Is stringS[1 ..L].
The suffix of stringSOf lengthL(1? ≤?L? ≤? |S|) I
What does the suffix letter mean? Every time we browse a website, enter the detailed URL of the interface will appear a few more small letters. Do you know what the suffix letters mean? Below, Teng NIU net small set for everyone popular science hidden in the URL suffix letters in the small secret.
When we want to browse a website, just enter the deta
Original address: http://blog.sina.com.cn/s/blog_8fcd775901019mi4.htmlFeel yourself looking at this finally feel can understand! You can also feel how the suffix automaton is a data structure ...The author's own words will be expressed in italics ... [Might help you understand, but it may also undermine our own understanding?] So... If you don't understand, then come and watch ...]Commonly used string processing tools:1. Index of whole words: sort + b
Http://churuimin425.blog.163.com/blog/static/34129877201141005542104/
A simple summary of converting an array with a suffix:
A suffix array is an array that sorts all strings with suffixes.S, SuffixSuffix (I)IndicatesS [I.. Len (s)]. Use two arrays to record the sorting results of all suffixes:
· rank [I] record the sequence number after suffix (I)
Link: http://codeforces.com/contest/448/problem/ B
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B. suffix structurestime
Returns the longest repeated substring of a string.Idea: Use a suffix array to generate a suffix array for a string, and then sort it. After sorting, check the beginning and public parts of the two adjacent strings in sequence.The time complexity is: generate the suffix array O (N), sort o (nlogn * n), and the last n is because the string comparison is also O (n)
Http://chencb.ycool.com/post.1901840.html
Today, I showed you the suffix array and commented on the following sentence: very good, very powerfulIf you are too lazy to write nonsense, simply record the relevant key points: the suffix array is the array after sorting all the strings suffix, set the string to S, so that the su
What is a suffix expression (inverse Polish style)
Without parentheses, the operator is placed after two operands, and all calculations are performed in the order in which the operators appear, strictly from left to right (no longer consider operator precedence rules,such as: (2 + 1) * 3, i.e. 2 1 + 3 * infix expression
(or infix notation) is a general arithmetic or logical expression method, the operator is in infix form in the middle of the operand
They are all notation for expressions, so they are also referred to as prefix notation, infix notation, and postfix notation. The difference between them is that the operator is relative to the position of the operand: the operator of the prefix expression precedes the operand associated with it, and the infix and suffix are the same.Example:(3 + 4) x5-6 is an infix expression.-x+ 3 4 5 6 prefix expression3 4 + 5x6-
* You must be familiar with Wa, re, and TLE before learning suffix automation *
What is a suffix automatic machine?
Suffix automatic machine suffix automation (SAM) is an automatic machine that is constructed with the complexity of O (N) and can accept all the suffixes of a string.
It was first mentioned in Chen Lijie'
B. suffix Structures
Bizon the champion isn't just a bison. He also is a favorite of the "bizons" team.
At a competition the "bizons" got the following problem: "You are given two distinct words (strings of English letters ),SAndT. You need to transform wordSInto WORDT". The task looked simple to the guys because they know the suffix data structures well. bizon senior loves
Suffix Arrays are called string processing artifacts. However, many people only use templates. In fact, this is not the essence of algorithms. To learn the essence of algorithms, we should understand the implementation principles and implement them, especially for algorithms, it is more important to consider an idea. A year ago, I only used other people's templates. Recently, I calmed down and studied the suffix
This paper mainly deals with the KMP suffix expressions of strings, and the algorithm of the first.
First of all, as we know, in C + +, a string has three forms of expression. Prefixes, infix, and suffix forms.
The difference is that the prefix expression consists of the operand immediately following the two operands. such as: *3 5
The operand of an infix expression is between two operands. such as: 3*5
The
My template is based on a combination of Ro and online template, a more distinct hierarchy, the choice of array name is based on the use of the definition,
In general, you should better understand some of the following:
First declare some concepts:
K-suffix array: I use sa[] (k)
K-Name group: I use rank[] (k)
My idea is to know rank[] (1) First find out sa[] (1), and then according to sa[] (1) and rank[] (1) Call sorting function to find sa[] (2), and
[Cpp]/********************************** * *********** data structure: suffix array (Suffix_Array); substring: substring of string S r [I .. j], I ≤ j, indicates the r string from I to j, that is, sequential arrangement of r [I], r [I + 1],..., A string formed by r [j]. Suffix: suffix refers to a special substring from a position I to the end of the entire string
, a pointer to the class instance
:: Func//A global function
:: operator +//A global operator function
:: A::B//A Global qualified name
(i + 1)//a parenthe Sized expression
The following example is all of the considered name and various forms of the main expression:
MyClass//A identifier
MYCLASS::F//A qualified name
operator =//an operator function name
operator Char *//A conversion operator function name
~myclass//A destructor name
a::b //A qualified name
A
They are all notation for expressions, so they are also referred to as prefix notation, infix notation, and postfix notation. The difference between them is that the operator is relative to the position of the operand: the operator of the prefix expression precedes the operand associated with it, and the infix and suffix are the same.Example:(3 + 4) x5-6 is an infix expression.-x+ 3 4 5 6 prefix expression3 4 + 5x6-
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