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 Python (3.4.3) (judge verdict: Accepted)

s = input()
l = len(s)
strk = 0
if l%2 == 1:
    c = s[(l-1)//2]
    for i in range(1,(l+1)//2):
        a = s[(l-1)//2+i]
        b = s[(l-1)//2-i]
        if a != c or b != c:
            break
        else:
            strk = i
if l%2 == 0:
    c = s[l//2]
    for i in range(1,l//2+1):
        a = s[l//2+i-1]
        b = s[l//2-i]
        if a != c or b != c:
            break
        else:
            strk = i
print((l+1)//2+strk)