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}.
import java.io.*;
import java.math.*;
import java.util.*;

public class A {
	
	
	
	public static void main(String[] agrs) throws IOException {
		

//		PrintWriter pw = new PrintWriter(System.out);
		FastScanner sc = new FastScanner();
		
//		int yo = sc.nextInt();
//		while(yo-->0) {
//		}
		
		int n = sc.nextInt();
		int k = sc.nextInt();
		long[] a = new long[n];
		for(int i = 0; i < n; i++) {
			a[i] = sc.nextLong();
		}
		Arrays.sort(a);
		
		Set<Long> set = new HashSet<>();
		int ans = 0;
		for(int i = 0; i < n; i++) {
			if(!set.contains(a[i])) {
				ans++;
				set.add((a[i]*k));
			}
//			System.out.println(set.contains(a[i]) + " " + a[i]);
		} 
		System.out.println(ans);
	}
	
	

	static class Pair{
		int x;
		int y;
		public Pair(int x, int y) {
			this.x = x;
			this.y = y;
		}
	}
	static int gcd(int a, int b) {
		return a%b == 0 ? b : gcd(b,a%b);
	}
	
	static int mod = 1000000007;
	
	static long pow(int a, int b) {
		if(b == 0) {
			return 1;
		}
		if(b == 1) {
			return a;
		}
		if(b%2 == 0) {
		
			long ans = pow(a,b/2);
			return ans*ans;
		}
		else {
			long ans = pow(a,(b-1)/2);
			return a * ans * ans;
		}
		
	}
	
	static boolean[] sieve(int n) {
		
		boolean isPrime[] = new boolean[n+1];
		for(int i = 2; i <= n; i++) {
			if(isPrime[i]) continue;
			for(int j = 2*i; j <= n; j+=i) {
				isPrime[j] = true;
			}
		
		}
		return isPrime;
		
	}


	static class FastScanner {
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st=new StringTokenizer("");
		String next() {
			while (!st.hasMoreTokens())
				try {
					st=new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			return st.nextToken();
		}
		
		int nextInt() {
			return Integer.parseInt(next());
		}
		int[] readArray(int n) {
			int[] a=new int[n];
			for (int i=0; i<n; i++) a[i]=nextInt();
			return a;
		}
		long nextLong() {
			return Long.parseLong(next());
		}
	}
	
	
//	For Input.txt and Output.txt
	
//	FileInputStream in = new FileInputStream("input.txt");
//	FileOutputStream out = new FileOutputStream("output.txt");
//	PrintWriter pw = new PrintWriter(out);
//	Scanner sc = new Scanner(in);
 
}
