Problem:
Score : 400 points

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

Solution in Python (3.8.2) (judge verdict: Time Limit Exceeded)

def main():
    s = [input() for l in range(2)]
    N, A = int(s[0]), [int(x) for x in s[1].split()]
    results = []

    for i in range(0, (N), 1):
        flag = 0
        for j in range(0, (N), 1):
            if i == j:
                pass
            else:
                if A[i] % A[j] == 0:
                    flag = 1
                    break
                else:
                    pass
        if flag == 1:
            results.append(0)
        else:
            results.append(1)
    cnt = 0
    for x in results:
        if x == 1:
            cnt += 1
    print(cnt)



if __name__ == '__main__':
    main()