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

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