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Palindromic Contest

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D. Subpalindrome pairs

Time limit: 1.0 second
Memory limit: 64 MB
Your task is to calculate number of triplets (i, j, k) such that ij < k and s[i..j] is a palindrome and s[j+1 .. k] is a palindrome.

Input

The input contains a line of n lowercase Latin letters (1 ≤ n ≤ 3 · 105).

Output

Output the answer.

Sample

inputoutput
abaa
5
Problem Author: Mikhail Rubinchik
Problem Source: Palindromic Contest, July 11, 2015
To submit the solution for this problem go to the Problem set: 2060. Subpalindrome pairs