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)

import sys
input = sys.stdin.readline

def slove():
    n = int(input())
    A = list(map(int,input().split()))
    A = sorted(A)
    ans = 0
    flag = False
    while len(A) != 0:
        ans += 1
        tmp = A.pop(0)
        #print(A)
        k = 0
        for i in range(len(A)):
            if A[i-k] % tmp == 0:
                if A[i-k] == tmp:
                    flag = True
                A.remove(A[i-k])
                k += 1
        if flag:
            ans -= 1
            flag = False
        
    print(ans)


if __name__ == "__main__":
    slove()