Given a sequence, print a longest palindromic subsequence of it.
Input : BBABCBCAB Output : BABCBAB The above output is the longest palindromic subsequence of given sequence. "BBBBB" and "BBCBB" are also palindromic subsequences of the given sequence, but not the longest ones. Input : GEEKSFORGEEKS Output : Output can be either EEKEE or EESEE or EEGEE, ..
We have discussed a solution in below post to find length of longest palindromic subsequence.
Dynamic Programming | Set 12 (Longest Palindromic Subsequence)
In this post a solution to print the longest palindromic subsequence is discussed.
This problem is close to the Longest Common Subsequence (LCS) problem. In fact, we can use LCS as a subroutine to solve this problem. Following is the two step solution that uses LCS.
1) Reverse the given sequence and store the reverse in another array say rev[0..n-1]
2) LCS of the given sequence and rev will be the longest palindromic sequence.
3) Once we have found LCS, we can print the LCS.
Below is the implementation of above approach:
- Longest Palindromic Subsequence | DP-12
- Length of longest Palindromic Subsequence of even length with no two adjacent characters same
- Print all Longest dividing subsequence in an Array
- Longest Increasing Subsequence using Longest Common Subsequence Algorithm
- Count All Palindromic Subsequence in a given String
- Smallest Palindromic Subsequence of Even Length in Range [L, R]
- Find the lexicographically largest palindromic Subsequence of a String
- Longest subsequence such that every element in the subsequence is formed by multiplying previous element with a prime
- Longest Palindromic Substring | Set 1
- Longest Non-palindromic substring
- Longest Palindromic Substring | Set 2
- Length of longest palindromic sub-string : Recursion
- Longest palindromic string possible after removal of a substring
- Longest palindromic String formed using concatenation of given strings in any order
- Manacher's Algorithm - Linear Time Longest Palindromic Substring - Part 3
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