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**Task** | Statistics

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

Given $n$ integers, your task is to report for each integer the number of its divisors.

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

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

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

For each integer, print the number of its divisors.

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

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

Input:

`3`

16

17

18

Output:

`5`

2

6