#include <iostream>
#include <string>
#include <vector> using namespace std; const int num = ;
const int item[] = {,,,,,}; int main(){
int t;
cin >> t;
for(int i = ; i < t; ++ i ){
string character;
cin >> character;
vector<int> result;
for(int j = ; j < num ; ++ j){
int a = item[j], b = /a;
int col = , row = ;
for(col = ; col < b ; ++ col){
for(row = ; row < a; ++ row){
if(character[col+b*row] == 'O') break;
}
if(row >= a) break;
}
if(col < b) result.push_back(a);
}
cout<<result.size();
for(int k = ; k < result.size(); ++ k ){
cout<<" "<<result[k]<<"x"<</result[k];
}
cout<<endl;
}
}

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