Problem:
Score : 500 points

Problem Statement

You are given a string S consisting of 0 and 1.
Find the maximum integer K not greater than |S| such that we can turn all the characters of S into 0 by repeating the following operation some number of times.

Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is 0, replace it with 1; if S_i is 1, replace it with 0.

Constraints

1\leq |S|\leq 10^5

S_i(1\leq i\leq N) is either 0 or 1.

Input

Input is given from Standard Input in the following format:

S

Output

Print the maximum integer K such that we can turn all the characters of S into 0 by repeating the operation some number of times.

Sample Input 1

010

Sample Output 1

2

We can turn all the characters of S into 0 by the following operations:

Perform the operation on the segment S[1,3] with length 3. S is now 101.

Perform the operation on the segment S[1,2] with length 2. S is now 011.

Perform the operation on the segment S[2,3] with length 2. S is now 000.

Sample Input 2

100000000

Sample Output 2

8

Sample Input 3

00001111

Sample Output 3

4

Solution in Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

import qualified Data.ByteString.Char8 as BC
import Data.Maybe (fromJust)
import Data.Char
import Data.List

main = do
  input <- BC.getLine
  let x = map digitToInt . BC.unpack $ input
      n = length x
      ans = minimum $ solve n 0 x
  if head x == 0 && ans == n then print 0
                             else print ans

solve :: Int -> Int -> [Int] -> [Int]
solve n i (a:[]) = [max (i+1) (n-i-1)]
solve n i (a:b:bs)
  | a == b    = solve n (i+1) (b:bs)
  | otherwise = (max (i+1) (n-i-1)) : (solve n (i+1) (b:bs))