Problem Statement

We have a string $S$ consisting of lowercase English letters.
Bob just thinks about palindromes every day. He decided to choose some of the substrings of $S$ that are palindromes and tell them to Anna.

Anna gets angry if one of the palindromes told by Bob is a substring of another.

How many palindromes can Bob choose while not making Anna angry?

Notes

A substring of $S$ is the result of deleting zero or more characters from the beginning and the end of $S$.
For example, ab is a substring of abc, while ac is not a substring of abc.

Constraints

• $1 \\leq |S| \\leq 200$
• $S$ consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

$S$

Output

Print the answer.

Sample Input 1

ababb

Sample Output 1

3

Three palindromes aba, bab, bb can be chosen.

Sample Input 2

xyz

Sample Output 2

3

Three palindromes x, y, z can be chosen.

Sample Input 3

xxxxxxxxxx

Sample Output 3

1