Description

A palindrome is a word which is the same when read forwards as it is when read backwards. For example, mom and anna are two palindromes.

A word which has just one letter, such as a, is also a palindrome.

Given a word, what is the longest palindrome that is contained in the word? That is, what is the longest palindrome that we can obtain, if we are allowed to delete characters from the beginning and/or the end of the string?

Input Format

The input will consist of one line, containing a sequence of at least $1$ and at most $40$ lowercase letters.

Output Format

Output the total number of letters of the longest palindrome contained in the input word.

banana

5

abracadabra

3

abba

4

Hint

Explanation for Output for Sample Input 1

The palindrome anana has $5$ letters.

Explanation for Output for Sample Input 2

The palindromes aca and ada have $3$ letters, and there are no other palindromes in the input which are longer.