Problem:
Score : 400 points

Problem Statement

We have a string s consisting of lowercase English letters.
Snuke can perform the following operation repeatedly:

Insert a letter x to any position in s of his choice, including the beginning and end of s.

Snuke's objective is to turn s into a palindrome.
Determine whether the objective is achievable. If it is achievable, find the minimum number of operations required.

Notes

A palindrome is a string that reads the same forward and backward.
For example, a, aa, abba and abcba are palindromes, while ab, abab and abcda are not.

Constraints

1 \leq |s| \leq 10^5

s consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

s

Output

If the objective is achievable, print the number of operations required.
If it is not, print -1 instead.

Sample Input 1

xabxa

Sample Output 1

2

One solution is as follows (newly inserted x are shown in bold):

xabxa → xaxbxa → xaxbxax

Sample Input 2

ab

Sample Output 2

-1

No sequence of operations can turn s into a palindrome.

Sample Input 3

a

Sample Output 3

0

s is a palindrome already at the beginning.

Sample Input 4

oxxx

Sample Output 4

3

One solution is as follows:

oxxx → xoxxx → xxoxxx → xxxoxxx

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;

/***********************************************/
/* Dear online judge:
 * I've read the problem, and tried to solve it.
 * Even if you don't accept my solution, you should respect my effort.
 * I hope my code compiles and gets accepted.
 *  ___  __     _______    _______      
 * |\  \|\  \  |\  ___ \  |\  ___ \     
 * \ \  \/  /|_\ \   __/| \ \   __/|    
 *  \ \   ___  \\ \  \_|/__\ \  \_|/__  
 *   \ \  \\ \  \\ \  \_|\ \\ \  \_|\ \ 
 *    \ \__\\ \__\\ \_______\\ \_______\
 *     \|__| \|__| \|_______| \|_______|
 */
const long long mod = 1000000007;

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);

	string s;
	cin>>s;
	int res = 0;
	bool can = true;
	for(int i = 0,j = (int)s.size()-1;i < j;) {
		if(s[i] == s[j]) {
			i++,j--;
			continue;
		}
		if(s[i] == 'x') {
			i++;
			res++;
			continue;
		}
		if(s[j] == 'x') {
			j--;
			res++;
			continue;
		}
		can = false;
		break;
	}
	cout<<(can?res:-1)<<'\n';
	return 0;
}