You are given two strings, word1
and word2
. You want to construct a string in the following manner:
- Choose some non-empty subsequence
subsequence1
fromword1
. - Choose some non-empty subsequence
subsequence2
fromword2
. - Concatenate the subsequences:
subsequence1 + subsequence2
, to make the string.
Return the length of the longest palindrome that can be constructed in the described manner. If no palindromes can be constructed, return 0
.
A subsequence of a string s
is a string that can be made by deleting some (possibly none) characters from s
without changing the order of the remaining characters.
A palindrome is a string that reads the same forward as well as backward.
Example 1:
Input: word1 = "cacb", word2 = "cbba" Output: 5 Explanation: Choose "ab" from word1 and "cba" from word2 to make "abcba", which is a palindrome.
Example 2:
Input: word1 = "ab", word2 = "ab" Output: 3 Explanation: Choose "ab" from word1 and "a" from word2 to make "aba", which is a palindrome.
Example 3:
Input: word1 = "aa", word2 = "bb" Output: 0 Explanation: You cannot construct a palindrome from the described method, so return 0.
Constraints:
1 <= word1.length, word2.length <= 1000
word1
andword2
consist of lowercase English letters.