hdu1339

Given a positive integer n and the odd integer o and the nonnegative integer p such that n = o2^p.

Example

For n = 24, o = 3 and p = 3.

Task

Write a program which for each data set:

reads a positive integer n,

computes the odd integer o and the nonnegative integer p such that n = o2^p,

writes the result.

Input

The first line of the input contains exactly one positive integer d equal to the number of data sets, 1 <= d <= 10. The data sets follow.

Each data set consists of exactly one line containing exactly one integer n, 1 <= n <= 10^6.

Output

The output should consists of exactly d lines, one line for each data set.

Line i, 1 <= i <= d, corresponds to the i-th input and should contain two integers o and p separated by a single space such that n = o2^p.

Sample Input

1

24

Sample Output

3 3

#include   int main()  {      int n,t,o,p;  
    scanf("%d",&t); 
     while(t--)      {          scanf("%d",&n);       
   p=0;       
   while(n%2==0)          {              p++;     
         n/=2;     
     }          o=n;      
    printf("%d %d\n",o,p);   
   }  }  #include
int main()
{
    int n,t,o,p;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d",&n);
        p=0;
        while(n%2==0)
        {
            p++;
            n/=2;
        }
        o=n;
        printf("%d %d\n",o,p);
    }
}