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}.
//codeforces_275C

import java.io.*;
import java.util.*;
import java.util.regex.Matcher;
import java.util.regex.Pattern;
import static java.lang.Math.*;
import java.math.*;

public class acm{

	static PrintWriter go = new PrintWriter(System.out);

	public static void main(String args[]) throws IOException,FileNotFoundException {
		BufferedReader gi = new BufferedReader(new InputStreamReader(System.in));
		int[] l = parseArray(gi);
		int n = l[0];
		int m = l[1];
		Set<Integer> s = new HashSet<>();
		l = parseArray(gi);
		for ( int k = 0; k < n; k++){
			s.add(l[k]);
		}
		Arrays.sort(l);
		for ( int k = 0; k < n; k++){
			if ( l[k]%m == 0 && l[k]/m != l[k] && s.contains(l[k]/m) ){
				s.remove(l[k]);
			}
		}
		go.println(s.size());

		go.close();
	}

	static int[] parseArray(BufferedReader gi) throws IOException{
		String[] line = gi.readLine().split(" ");
		int[] rez = new int[line.length];
		for ( int k = 0; k < line.length; k++){
			rez[k] = Integer.parseInt(line[k]);
		}
		return rez;
	}
}
