7654: [CSES Problem Set] Counting Divisors
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Description
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 $1,2,3,6,9,18$.
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 $x$.
After this, there are $n$ lines, each containing an integer $x$.
Output
For each integer, print the number of its divisors.
Constraints
$1≤n≤10^5$
$1 \le x \le 10^6$
$1 \le x \le 10^6$
Sample 1 Input
3
16
17
18
Sample 1 Output
5
2
6