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Problem
Write the definition of a subprogram `nrDiv` that receives through parameter `n` a non-zero natural number (`1 <= n <= 1.000.000`) and returns the number of natural divisors of `n`.
Then write a main program that reads from standard input a non-zero natural number `t`, then `t` non-zero natural numbers, one per line or separated by spaces. For each of the `t` numbers, the program prints on a separate line the value returned by the call to subprogram `nrDiv` for that number.
Input format
Input
input.txt
The first line contains the natural number `t`. The following lines contain `t` non-zero natural numbers, separated by spaces or newlines. - `1 <= t <= 100` - `1 <= x <= 1.000.000` for each number read - the subprogram `nrDiv` must be defined explicitly and called from `main`
Output format
Output
output.txt
The program prints `t` lines, each containing the number of divisors of the corresponding input number, in reading order.
Example
input
5 12 1 7 100 36
output
6 1 2 9 9
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Sample cases (from the problem)
Sample Case 1
Input
5 12 1 7 100 36
Expected output
6 1 2 9 9
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