A k-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by k. That is, there are no two integers x and y (x < y) from the set, such that y = x·k.

You're given a set of n distinct positive integers. Your task is to find the size of it's largest k-multiple free subset.

Input

The first line of the input contains two integers n and k (1 ≤ n ≤ 105, 1 ≤ k ≤ 109). The next line contains a list of n distinct positive integers a1, a2, ..., an (1 ≤ ai ≤ 109).

All the numbers in the lines are separated by single spaces.

Output

On the only line of the output print the size of the largest k-multiple free subset of {a1, a2, ..., an}.

Examples

Input

6 2
2 3 6 5 4 10


Output

3

Note

In the sample input one of the possible maximum 2-multiple free subsets is {4, 5, 6}.
#include <bits/stdc++.h>
using namespace std;
const long long MAX = 1e6 + 7;
long long MOD;
void f_io() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
}
int32_t main() {
  f_io();
  long long n, k;
  cin >> n >> k;
  map<long long, long long> mp;
  long long arr[n];
  for (long long i = 0; i < n; i++) cin >> arr[i];
  sort(arr, arr + n);
  for (long long i = 0; i < n; i++) {
    if (arr[i] % k) {
      mp.insert({arr[i], 1});
      continue;
    } else {
      if (mp.find(arr[i] / k) == mp.end())
        mp.insert({arr[i], 1});
      else
        continue;
    }
  }
  cout << mp.size();
}
