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.DataInputStream;
import java.io.InputStream;
import java.util.Arrays;
import java.util.TreeSet;

public class C {
	public static void main(String [] args) throws Exception{
		FS in = new FS(System.in);
		int n = in.nextInt();
		int k = in.nextInt();
		int [] b = new int[n];
		
		TreeSet<Integer> al = new TreeSet();
		for(int i = 0 ; i < n ; i++){
			b[i]=in.nextInt();
		}
		Arrays.sort(b);
		int ans = 0 ;
		for(int i = 0 ; i < n ; i++){
			if (b[i]%k==0){
				if(!al.contains(b[i]/k)&&!al.contains(b[i])){
					al.add(b[i]);
					ans++;
				}
			}
			else{
				al.add(b[i]);
				ans++;
			}
		}
		System.out.println(ans);
	}
}


class FS
{
   final private int BUFFER_SIZE = 1 << 17;

   private DataInputStream din;
   private byte[] buffer;
   private int bufferPointer, bytesRead;

   public FS(InputStream in)
   {
      din = new DataInputStream(in);
      buffer = new byte[BUFFER_SIZE];
      bufferPointer = bytesRead = 0;
   }
   public String nextString() throws Exception
   {
       StringBuffer sb=new StringBuffer("");
       byte c = read();
       while (c <= ' ') c = read();
       do
       {
           sb.append((char)c);
           c=read();
       }while(c>' ');
       return sb.toString();
   }
   public char nextChar() throws Exception
   {
       byte c=read();
       while(c<=' ') c= read();
       return (char)c;
   }
   public int nextInt() throws Exception
   {
      int ret = 0;
      byte c = read();
      while (c <= ' ') c = read();
      boolean neg = c == '-';
      if (neg) c = read();
      do
      {
          ret = ret * 10 + c - '0';
         c = read();
      } while (c > ' ');
      if (neg) return -ret;
      return ret;
   }
   public long nextLong() throws Exception
   {
      long ret = 0;
      byte c = read();
      while (c <= ' ') c = read();
      boolean neg = c == '-';
      if (neg) c = read();
      do
      {
          ret = ret * 10 + c - '0';
         c = read();
      } while (c > ' ');
      if (neg) return -ret;
      return ret;
   }
   private void fillBuffer() throws Exception
   {
      bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
      if (bytesRead == -1) buffer[0] = -1;
   }

   private byte read() throws Exception
   {
      if (bufferPointer == bytesRead) fillBuffer();
      return buffer[bufferPointer++];
   }
}   
