Package g2001_2100.s2002_maximum_product_of_the_length_of_two_palindromic_subsequences

Class Solution

java.lang.Object
g2001_2100.s2002_maximum_product_of_the_length_of_two_palindromic_subsequences.Solution
public class Solution extends java.lang.Object
2002 - Maximum Product of the Length of Two Palindromic Subsequences.

Medium

Given a string s, find two disjoint palindromic subsequences of s such that the product of their lengths is maximized. The two subsequences are disjoint if they do not both pick a character at the same index.

Return the maximum possible product of the lengths of the two palindromic subsequences.

A subsequence is a string that can be derived from another string by deleting some or no characters without changing the order of the remaining characters. A string is palindromic if it reads the same forward and backward.

Example 1:

example-1

Input: s = “leetcodecom”

Output: 9

Explanation: An optimal solution is to choose “ete” for the 1st subsequence and “cdc” for the 2nd subsequence.

The product of their lengths is: 3 * 3 = 9.

Example 2:

Input: s = “bb”

Output: 1

Explanation: An optimal solution is to choose “b” (the first character) for the 1st subsequence and “b” (the second character) for the 2nd subsequence.

The product of their lengths is: 1 * 1 = 1.

Example 3:

Input: s = “accbcaxxcxx”

Output: 25

Explanation: An optimal solution is to choose “accca” for the 1st subsequence and “xxcxx” for the 2nd subsequence.

The product of their lengths is: 5 * 5 = 25.

Constraints:

  • 2 <= s.length <= 12
  • s consists of lowercase English letters only.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    maxProduct(java.lang.String s)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • maxProduct

      public int maxProduct(java.lang.String s)