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: Time Limit Exceeded)

function main(input){
  var input = input.trim();
  var input = input.split("\n");
  var n = input[0];
  var list = input[1].split(" ");
  for(var i=0; i<list.length; i++){list[i]=parseInt(list[i]);}
  var nList = [];
  for(var i=0; i<list.length; i++){
    var wareta=0;
    for(var j=0; j<list.length; j++){
      if(i!=j){
        if(list[i]%list[j]==0){
          wareta=1; break;
        }
      } // if i != j
    } // j loop
    if(wareta==0){nList[nList.length]=i+1;}
  } // i loop
  console.log(nList.length);
}
main(require("fs").readFileSync("/dev/stdin", "utf8"));