Given a number N less than 10000, calculate total number of permutations of it and also the sum of all permutations including that number itself.

For example, let us take N to be 12. There exists 2 permutations of that number '12' and '21'. Sum of these two permutations is 33. So output will be 2 33.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow.
The first line of each Test case contains a positive number N.

Output:
Output in a single line the number of distinct permutations of that number and the  sum of all permutations of that number including that number separated by space .

Constraints:
1<=T<=1000
1<N<=10000

Example:
Input:
2
5
12
Output:
1 5
2 33

** For More Input/Output Examples Use 'Expected Output' option **