Problem Statement

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 1

5
24 11 8 3 16

Sample Output 1

3

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

Sample Input 2

4
5 5 5 5

Sample Output 2

0

Note that there can be multiple equal numbers.

Sample Input 3

10
33 18 45 28 8 19 89 86 2 4

Sample Output 3

5