#include<bits/stdc++.h>
using namespace std;
int main()
{
int t;
cin>>t;
while(t--)
{
int n;
cin>>n;
int x, y;
int flag = 0;
for(int i = sqrt(n); i >= 1; i--)
{
if(n % i == 0)
{
if(i*i == n)
{
x = i;
y = i;
flag = 1;
break;
}
else
{
x = i;
y = n/i;
if(abs(x*x + y*y) <= 0.00001)
{
flag = 1;
break;
}
}
}
}
if(flag == 1)
{
cout<<x<<" "<<y<<endl;
}
else
{
cout<<"-1"<<endl;
}
}
return 0;
}
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