DP Question

I came across some questions (especially string), where we need to memoize the substring ranges. In other words, dp[i][j] = ans for substring starting at index i to index j, and with help of that we create dp[i-1][j+1] or dp[i-1][j]. Example of such question, is https://leetcode.com/problems/valid-parenthesis-string/ (check DP approach)
Can you provide the list of such questions having such memoization?