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1930. Unique Length 3 Palindromic Subsequences

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Problem Statement

1930. Unique Length-3 Palindromic Subsequences

Medium


Given a string s, return the number of unique palindromes of length three that are a subsequence of s.

Note that even if there are multiple ways to obtain the same subsequence, it is still only counted once.

A palindrome is a string that reads the same forwards and backwards.

A subsequence of a string is a new string generated from the original string with some characters (can be none) deleted without changing the relative order of the remaining characters.

 

Example 1:

Input: s = "aabca"
Output: 3
Explanation: The 3 palindromic subsequences of length 3 are:
- "aba" (subsequence of "aabca")
- "aaa" (subsequence of "aabca")
- "aca" (subsequence of "aabca")

Example 2:

Input: s = "adc"
Output: 0
Explanation: There are no palindromic subsequences of length 3 in "adc".

Example 3:

Input: s = "bbcbaba"
Output: 4
Explanation: The 4 palindromic subsequences of length 3 are:
- "bbb" (subsequence of "bbcbaba")
- "bcb" (subsequence of "bbcbaba")
- "bab" (subsequence of "bbcbaba")
- "aba" (subsequence of "bbcbaba")

 

Constraints:

Java

Source file
class Solution {
    public int countPalindromicSubsequence(String s) {
        int[] first = new int[26], last = new int[26];
        int n = s.length(), ans = 0;
        Arrays.fill(first, -1);
        for (int i = 0; i < n; i++) {
            int c = s.charAt(i) - 'a';
            if (first[c] == -1)
                first[c] = i;
            last[c] = i;
        }
        for (int i = 0; i < 26; i++) {
            if (first[i] == -1)
                continue;
            Set<Character> set = new HashSet<>();
            for (int j = first[i] + 1; j < last[i]; j++)
                set.add(s.charAt(j));
            ans += set.size();
        }
        return ans;
    }
}