- 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
- $1 \le n \le 10^5$
- $1 \le x \le 10^6$
Input:
3
16
17
18
Output:
5
2
6