**Time limit:**1.00 s**Memory limit:**512 MB

For example, if $x=18$, the correct answer is $6$ because its divisors are $1,2,3,6,9,18$.

**Input**

The first input line has an integer $n$: the number of integers.

After this, there are $n$ lines, each containing an integer $x$.

**Output**

For each integer, print the number of its divisors.

**Constraints**

- $1 \le n \le 10^5$

- $1 \le x \le 10^6$

**Example**

Input:

`3`

16

17

18

Output:

`5`

2

6