Problem10242--CCC '16 J3 - Hidden Palindrome

10242: CCC '16 J3 - Hidden Palindrome

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

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

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

Output

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

Sample 1 Input

banana

Sample 1 Output

5
The palindrome anana has 5 letters.

Sample 2 Input

abracadabra

Sample 2 Output

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

Sample 3 Input

abba

Sample 3 Output

4

HINT

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