Leetcode――718. Maximum Length of Repeated Subarray(DP重要)

匿名 (未验证) 提交于 2019-12-03 00:18:01

https://leetcode.com/problems/maximum-length-of-repeated-subarray/description/

Given two integer arrays A and B, return the maximum length of an subarray that appears in both arrays.

Example 1:

Input:
A: [1,2,3,2,1]
B: [3,2,1,4,7]
Output: 3
Explanation:
The repeated subarray with maximum length is [3, 2, 1].

Note:
1 <= len(A), len(B) <= 1000
0 <= A[i], B[i] < 100

我们使用一个二维的dp数组,其中dp[i][j]表示数组A的前i个数字和数组B的前j个数字的最长子数组的长度,如果dp[i][j]不为0,则A中第i个数组和B中第j个数字必须相等,比对于这两个数组[1,2,3,2,1]和[3,2,1,4,7],我们的dp数组为:

数组 1 2 3 2 1
3 0 0 1 0 0
2 0 0 0 2 0
1 1 0 0 0 3
4 0 0 0 0 0
7 0 0 0 0 0

观察dp[i][j]不为0的点,其值都为其左上角的元素的值+1,所以可以得到dp公式: dp[i][j] = dp[i - 1][j - 1] + 1;

class Solution {     public int findLength(int[] A, int[] B) {         if(A == null || B == null || A.length == 0 || B.length == 0)             return 0;         int lengthA = A.length;         int lengthB = B.length;         int max = Integer.MIN_VALUE;         int[][] dp = new int[lengthA + 1][lengthB + 1];         for(int i = 1; i <= lengthA; i++) {             for(int j = 1; j <= lengthB; j++) {                 if(A[i - 1]== B[j - 1]) {                     dp[i][j] = dp[i - 1][j - 1] + 1;                 }                 if(max < dp[i][j])                     max = dp[i][j];             }         }         return max;        } }

https://www.cnblogs.com/grandyang/p/7801533.html

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