Dynamic Programming Questions
The Maximum Length of Repeated Subarray problem is a problem in which we are given two arrays and we need to find the length of the longest common subarray that appears in both arrays.
Dynamic Programming can be used to solve this problem efficiently. We can create a 2D array dp[][] where dp[i][j] represents the length of the longest common subarray ending at indices i and j of the two arrays.
To fill in the dp[][] array, we iterate through the arrays and compare the elements at each index. If the elements are equal, we update dp[i][j] as dp[i-1][j-1] + 1, indicating that the length of the common subarray has increased by 1. If the elements are not equal, we set dp[i][j] as 0, indicating that there is no common subarray ending at these indices.
During the iteration, we keep track of the maximum length of the common subarray encountered so far. After iterating through both arrays, the maximum length of the common subarray will be the answer to the problem.