In the dynamic programming solution for the longest common subsequence, what doe

In the dynamic programming solution for the longest common subsequence, what does the dp[i][j] cell represent?

Length of LCS for first i characters of string A and first j characters of string B
Total number of subsequences
Characters in the LCS
Length of the strings A and B

In the dynamic programming solution for the longest common subsequence, what does the dp[i][j] cell represent?

Step 1: Understand that we have two strings, A and B.
Step 2: The characters in string A are indexed from 1 to i.
Step 3: The characters in string B are indexed from 1 to j.
Step 4: The dp[i][j] cell is part of a table used to store results.
Step 5: dp[i][j] specifically stores the length of the longest common subsequence (LCS) between the first i characters of string A and the first j characters of string B.
Step 6: This means that dp[i][j] tells us how long the LCS is when we only consider the first i characters of A and the first j characters of B.

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