A. Beautiful String

Links: https://codeforces.com/contest/1265/problem/A

A string is called beautiful if no two consecutive characters are equal. For example, "ababcb", "a" and "abab" are beautiful strings, while "aaaaaa", "abaa" and "bb" are not.

Ahcl wants to construct a beautiful string. He has a string ss, consisting of only characters 'a', 'b', 'c' and '?'. Ahcl needs to replace each character '?' with one of the three characters 'a', 'b' or 'c', such that the resulting string is beautiful. Please help him!

More formally, after replacing all characters '?', the condition si≠si+1si≠si+1 should be satisfied for all 1≤i≤|s|−11≤i≤|s|−1, where |s||s| is the length of the string ss.

Input

The first line contains positive integer tt (1≤t≤10001≤t≤1000) — the number of test cases. Next tt lines contain the descriptions of test cases.

Each line contains a non-empty string ss consisting of only characters 'a', 'b', 'c' and '?'.

It is guaranteed that in each test case a string ss has at least one character '?'. The sum of lengths of strings ss in all test cases does not exceed 105105.

Output

For each test case given in the input print the answer in the following format:

• If it is impossible to create a beautiful string, print "-1" (without quotes);
• Otherwise, print the resulting beautiful string after replacing all '?' characters. If there are multiple answers, you can print any of them.

Example

input

Copy

3
a???cb
a??bbc
a?b?c

output

Copy

ababcb
-1
acbac

Note

In the first test case, all possible correct answers are "ababcb", "abcacb", "abcbcb", "acabcb" and "acbacb". The two answers "abcbab" and "abaabc" are incorrect, because you can replace only '?' characters and the resulting string must be beautiful.

In the second test case, it is impossible to create a beautiful string, because the 44-th and 55-th characters will be always equal.

In the third test case, the only answer is "acbac".

Code:

#include <bits/stdc++.h>
using namespace std;
long long n,c;
char x[1000001];
long long mod=10007;
int main()
{
	cin>>n;
	while(n--)
	{
		cin>>x;
		long long l=strlen(x);
		int f=1;
		x[l]='d';
		for(int i=0;i<l;i++)
		{
			if(x[i]=='?')
			{
				if(i>0&&i<l-1)
				{
					int flag=0;
					for(int j=0;j<=2;j++)
					{
						x[i]='a'+j;
						if(x[i]!=x[i-1]&&x[i]!=x[i+1])
						{
							flag=1;
							break;
						}
					}
					if(flag==0)
					{
						f=0;
						break;
					}
				}
				else if(i==0)
				{
					int flag=0;
					for(int j=0;j<=2;j++)
					{
						x[i]='a'+j;
						if(x[i]!=x[i+1])
						{
							flag=1;
							break;
						}
					}
					if(flag==0)
					{
						f=0;
						break;
					}
				}
				else if(i==l-1)
				{
					int flag=0;
					for(int j=0;j<=2;j++)
					{
						x[i]='a'+j;
						if(x[i]!=x[i-1])
						{
							flag=1;
							break;
						}
					}
					if(flag==0)
					{
						f=0;
						break;
					}
				}
			}
			else
			{
				if(x[i]==x[i+1])
				{
					f=0;
					break;
				}
			}
		}
		if(f==0)
		cout<<-1<<endl;
		else
		{
			for(int i=0;i<l;i++)
			cout<<x[i];
			cout<<endl; 
		} 
	}
}