Try to solve the Longest Common Subsequence problem.

Statement

Suppose you are given two strings. You need to find the length of the longest common subsequence between these two strings.

A subsequence is a string formed by removing some characters from the original string while maintaining the relative position of the remaining characters. For example, “abd” is a subsequence of “abcd”, where the removed character is “c”.

If there is no common subsequence, then return 0.

Constraints:

  • 11 \leq str1.length 500\leq 500
  • 11 \leq str2.length 500\leq 500
  • str1 and str2 contain only lowercase English characters.

Examples