Leetcode "5". Longest palindromic Substring--java implementation

Source: Internet
Author: User

Longest palindromic Substring

first, the topic is as follows:Given A stringS, find the longest palindromic substring inS. Assume that maximum length ofSis, and there exists one unique longest palindromic substring.
The topic requires the maximum symmetric substring of a given string, such as "AAABCCBACC", the maximum symmetric substring of "ABCCBA". second, the idea:compares the past between each character or two characters in the middle as a center, and determines whether it is a symmetric sub-character. The idea is simple, two situations are as follows:
figure one, two symmetry cases, there are two possible cases for symmetric strings. One is a "even symmetry", with the middle spacer line symmetrical to each other, and the other is B "odd symmetry", with the center symmetry of the middle one character. Through I from 0 to the tail of the string, each advance 0.5, and I as the center, sweep to the ends of the judgment. The time complexity is O (n^2), the worst case for the whole string is the same as all characters, then each sweep will be swept to the end. Third, Java program
</pre><pre name= "code" class= "Java" >public class solution {public String longestpalindrome (String s) {   int down = 0,up = 0,count = 0;        The upper and lower bounds of the sweep string and the length of the string int sl = S.length (), respectively;        int MAXL = 0;      int subdown = 0, subup = 0;                The upper and lower bounds of the target substring string subS = new String ("");        if (sl==0) return ""; 1.            Find the middle position and upper and lower bounds for the target substring (double i=0; i<=sl-1; i=i+0.5) {down = (int) math.floor (i);            up = (int) math.ceil (i);            if ((i%1==0.5) &&sl!=0)//Judge I belongs to (a or b) {count = 0;              }else {count = 1;              down--;            up++; }//2. Scan both sides with the I as the Center (!) down<0| |                UP&GT;SL-1) {if (S.charat (down)! = (S.charat (UP))} {break; 2.1.          When the two characters with the center symmetry of I are unequal, they jump out of the scan}else{          2.2.                  When I is the center symmetry of the two characters typeface, and so on, continue to move count+=2 respectively to both sides;                  down--;                up++; }}//3.                Update the longest string if (COUNT&GT;MAXL) {Maxl = count;                Subdown = down;            Subup = up;        }}//3.1 because in the scan, the first move and then judge, stopped in fact, before and after moving a unit, where a unit of recovery subdown++;        subup--;           SubS = s.substring (subdown,subup+1); Return subs;//returns the symmetric substring}}


Extended Learning: This article describes several methods of Java longest palindromic Substring (the longest palindrome string)

          leetcode–longest palindromic Substring (Java)




Leetcode "5". Longest palindromic Substring--java implementation

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