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1761. Binary Palindrome

Time limit: 1.0 second
Memory limit: 64 MB
Let an integer n be given. Write the integers from 1 to n in binary notation successively from left to right. In the resulting string consisting of zeros and ones, choose a palindrome substring of maximal length. It is required to find the length of this substring.

Input

The only input line contains the integer n in binary notation (1 ≤ n ≤ 21 000 000).

Output

Output one line containing the required length.

Samples

inputoutput
101
5
10100
11

Notes

In the first sample, the string 11011100101 will be written (a variant of the longest palindrome is underlined).
Problem Author: Ilya Zvigintsev
Problem Source: XI USU Open Personal Contest (March 13, 2010)