cho.sh
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Lucky Ticket

Time limit

2s

Memory limit

128 MB

Problem

A baseball team gives each visitor a numbered ticket. A ticket has length exactly 2N. If the sum of the first N digits equals the sum of the last N digits, the ticket is called lucky.

Given a digit string S, find the longest contiguous substring that could be a lucky ticket. Output that maximum length.

Input

The first line contains S. S consists only of digits from 1 through 9, and its length is a positive integer not greater than 50.

Output

Output the maximum length of a contiguous substring of S that satisfies the lucky-ticket rule. If no such substring exists, output 0.