1. 程式人生 > >5. Longest Palindromic Substring(求最長迴文子字串)

5. Longest Palindromic Substring(求最長迴文子字串)

Given a string s, find the longest palindromic substring in s. You may assume that the maximum length of s is 1000.

Example:

Input: "babad"

Output: "bab"

Note: "aba" is also a valid answer.

Example:

Input: "cbbd"

Output: "bb"
題目大意:給定一個字串,找到最長的迴文子串。 解法一:
解題思路:迴文字串有兩種情況:長度為奇數,或者長度為偶數。現在分別以這兩種情況進行解題,兩個int型別的指標left和right,分別向兩側延伸,以找到長度最大的迴文子字串。
解題程式碼:(44ms,beats 44.34%)
class Solution {
    public String longestPalindrome(String s) {
        if (s.length() <= 1) {
			return s;
		}
		int left, right;
		String res = s.substring(0, 1);
		for (int i = 0; i < s.length(); i++) {
			left = right = i;
			while (left > -1 && right < s.length() && s.charAt(left) == s.charAt(right)) {
				left--;
				right++;
			}
			if (right - left - 1 > res.length()) {
				res = s.substring(left + 1, right);
			}
		}

		for (int i = 0; i < s.length() - 1; i++) {
			left = i;
			right = i + 1;
			while (left > -1 && right < s.length() && s.charAt(left) == s.charAt(right)) {
				left--;
				right++;
			}
			if (right - left - 1 > res.length()) {
				res = s.substring(left + 1, right);
			}
		}

		return res;
    }
}
解法二:
解題思路:動態規劃 解題程式碼:(180ms,beats 1.67%)
class Solution {
    public String longestPalindrome(String s) {
        int sLen = s.length();
		if (sLen <= 1) {
			return s;
		}
		boolean[][] isPalindrome = new boolean[sLen][sLen];
		// 初始化,i=j時只有一個字元,是迴文字串。i>j時是空串,也視為迴文字串。i<j時先預設初始化為false。
		for (int i = 0; i < sLen; i++) {
			for (int j = 0; j < sLen; j++) {
				if (i < j) {
					isPalindrome[i][j] = false;
				} else {
					isPalindrome[i][j] = true;
				}
			}
		}
		int left = 0, right = 0;
		for (int step = 1; step < sLen; step++) {
			for (int i = 0; i + step < sLen; i++) {
				int j = i + step;
				if (s.charAt(i) != s.charAt(j)) {
					isPalindrome[i][j] = false;
				} else {
					isPalindrome[i][j] = isPalindrome[i + 1][j - 1];
					if (isPalindrome[i][j] == true) {
						if (j - i > right - left) {
							left = i;
							right = j;
						}
					}
				}

			}
		}
		return s.substring(left, right + 1);
    }
}