Given is a number sequence A of length N.
Find the number of integers $i \left(1 \leq i \leq N\right)$ with the following property:
- For every integer $j \left(1 \leq j \leq N\right)$ such that $i \neq j , A_j$ does not divide A_i.

-----Constraints-----
- All values in input are integers.
- $1 \leq N \leq 2 \times 10^5$
- $1 \leq A_i \leq 10^6$

-----Input-----
Input is given from Standard Input in the following format:
N
$A_1 A_2 \cdots A_N$

-----Output-----
Print the answer.

-----Sample Input-----
5
24 11 8 3 16

-----Sample Output-----
3

The integers with the property are 2, 3, and 4.

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