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 JavaScript (Node.js 12.16.1) (judge verdict: Wrong Answer)

'use strict';

function Main(stdin){
  const input = stdin.trim().split(/\r?\n/g);
  const N = Number(input[0]);
  let A = input[1].split(' ').map(str => Number(str));
  A.sort(((a, b) => a - b));
  let tmpA = A.slice(0);

  for(let i = 0; i < N; i++){
      for(let j = 0; j < tmpA.length; j++){      
        if(tmpA[j]%A[i] === 0 && tmpA[j] !==A[i]) {
            tmpA.splice(j,1);
        }
      }
  }

  for(let k = 0; k < N; k++){
    let firstIndex = tmpA.indexOf(tmpA[k]);
    let lastIndex = tmpA.lastIndexOf(tmpA[k]);
    if(firstIndex !== lastIndex){
        tmpA.splice(firstIndex,lastIndex+1);
    }
  }
  console.log(tmpA.length);
}

// 固定
Main(require("fs").readFileSync("/dev/stdin", "utf8"));