Hi everyone,

I am trying to implement the Longest Common Subsequence (LCS) algorithm in Java. I have been following the tutorial, but I am having trouble understanding how to use the dynamic programming table.

The tutorial says to create a table of size (m+1) x (n+1), where m and n are the lengths of the two strings. Each cell in the table stores the length of the longest common subsequence of the first m characters of the first string and the first n characters of the second string.

I understand how to fill in the first row and column of the table. The first row will all be 0, and the first column will all be 0. But I am not sure how to fill in the rest of the table.

Can anyone help me understand how to use the dynamic programming table to implement the LCS dynamic programming algorithm in Java?

Thanks in advance for your help!