
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Scanner;
import java.util.StringTokenizer;
import java.util.*;
public class Main
{

    static class FastReader
    {
        BufferedReader br;
        StringTokenizer st;

        public FastReader()
        {
            br = new BufferedReader(new
                     InputStreamReader(System.in));
        }

        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt()
        {
            return Integer.parseInt(next());
        }

        long nextLong()
        {
            return Long.parseLong(next());
        }

        double nextDouble()
        {
            return Double.parseDouble(next());
        }

        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
    }

    public static void main(String[] args)
    {
        FastReader sc=new FastReader();
long q=sc.nextLong();
long k=sc.nextLong();
StringBuilder sb=new StringBuilder();
PriorityQueue<Long> pq=new PriorityQueue<>();
int mex=0;HashSet<Long> hm=new HashSet<>();
int freq[]=new int[100002];
while(q-->0)
{
  long y=sc.nextLong();
  int c=(int)(mex/k);
  freq[(int)(y%k)]++;
  while(freq[(int)(y%k)]>c)
  {
  mex++;
  c=(int)(mex/k);

  }



  sb.append(""+mex);
sb.append("\n");
}

System.out.println(sb.toString());
  }
}
