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. 1 <= len(A), len(B) <= 1000
  2. 0 <= A[i], B[i] < 100

Approach #1: Dynamic programming

class Solution {
public:
int findLength(vector<int>& A, vector<int>& B) {
int ans = 0;
int lenA = A.size();
int lenB = B.size();
vector<vector<int>> memo(lenA+1, vector<int>(lenB+1, 0));
for (int i = lenA-1; i >= 0; --i) {
for (int j = lenB-1; j >= 0; --j) {
if (A[i] == B[j]) {
memo[i][j] = memo[i+1][j+1] + 1;
ans = max(ans, memo[i][j]);
}
}
}
return ans;
}
};

Runtime: 92 ms, faster than 65.15% of C++ online submissions for Maximum Length of Repeated Subarray.

Analysis:

maybe using dynamic programming from back to front is the key to solve these similar questions.

there are some other ways to solve this problem.

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

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