Snuke, who loves animals, built a zoo.

There are N animals in this zoo. They are conveniently numbered 1 through N, and arranged in a circle. The animal numbered i (2≤i≤N-1) is adjacent to the animals numbered i-1 and i+1. Also, the animal numbered 1 is adjacent to the animals numbered 2 and N, and the animal numbered N is adjacent to the animals numbered N-1 and 1.

There are two kinds of animals in this zoo: honest sheep that only speak the truth, and lying wolves that only tell lies.

Snuke cannot tell the difference between these two species, and asked each animal the following question: "Are your neighbors of the same species?" The animal numbered i answered s_i. Here, if s_i is `o`, the animal said that the two neighboring animals are of the same species, and if s_i is `x`, the animal said that the two neighboring animals are of different species.

More formally, a sheep answered `o` if the two neighboring animals are both sheep or both wolves, and answered `x` otherwise. Similarly, a wolf answered `x` if the two neighboring animals are both sheep or both wolves, and answered `o` otherwise.

Snuke is wondering whether there is a valid assignment of species to the animals that is consistent with these responses. If there is such an assignment, show one such assignment. Otherwise, print `-1`.

Constraints

* 3 ≤ N ≤ 10^{5}
* s is a string of length N consisting of `o` and `x`.

Input

The input is given from Standard Input in the following format:


N
s


Output

If there does not exist an valid assignment that is consistent with s, print `-1`. Otherwise, print an string t in the following format. The output is considered correct if the assignment described by t is consistent with s.

* t is a string of length N consisting of `S` and `W`.
* If t_i is `S`, it indicates that the animal numbered i is a sheep. If t_i is `W`, it indicates that the animal numbered i is a wolf.

Examples

Input

6
ooxoox


Output

SSSWWS


Input

3
oox


Output

-1


Input

10
oxooxoxoox


Output

SSWWSSSWWS
n=int(input())
s=input()
ch=['S','W']


for c1 in range(2):
    for c0 in range(2):
        if (ch[c1]=='S' and s[1]=='o') or (ch[c1]=='W' and s[1]=='x'):
            ans=ch[c0]+ch[c1]+ch[c0]
        else:
            ans=ch[c0]+ch[c1]+ch[(c0+1)%2]
        
        i=2

        while i<n-1:
            if (ans[-1]=='S' and s[i]=='o') or (ans[-1]=='W' and s[i]=='x'):
                ans+=ans[-2]
            else:
                ans+='W' if ans[-2]=='S' else 'S'
            i+=1
        
        for i in range(n):
            bc=ans[(i-1+n)%n]
            ac=ans[(i+1)%n]

            if (ans[i]=='S' and s[i]=='o') or (ans[i]=='W' and s[i]=='x'):
                if bc!=ac:
                    break
            else:
                if bc==ac:
                    break
        else:
            print(ans)
            exit(0)

print(-1)