| b | b | b | a | b | |
|---|---|---|---|---|---|
| b | 1 | 2 | 3 | 3 | 4 |
| b | 0 | 1 | 2 | 2 | 3 |
| b | 0 | 0 | 1 | 1 | 2 |
| a | 0 | 0 | 0 | 1 | 1 |
| b | 0 | 0 | 0 | 0 | 1 |
Welcome to the DP Table Visualization for finding the Longest Palindromic Subsequence in the string "bbbab".
The table shows the length of the longest palindromic subsequence for each substring. The final answer is at dp[0][4] = 4, which means the longest palindromic subsequence has length 4 (it's "bbbb").
Let's step through how this table is filled.