//package jan2020;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
public class D615 {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		FastReader scn = new FastReader();
		PrintWriter out = new PrintWriter(System.out);
		int q=scn.nextInt();
		int q1=q;
		int x=scn.nextInt();
		long mex=0;
		
		long ans[]=new long[q1];
		HashMap<Long,Integer> map=new HashMap<>();
		for(int i=0; i<q1; i++)
		{
			ans[i]=scn.nextLong();
			map.put(ans[i]%x, map.getOrDefault(ans[i]%x,0)+ 1);
			while(map.containsKey(mex%x)==true)
			{
				map.put(mex%x, map.get(mex%x)-1);
				if(map.get(mex%x)==0)
				{
					map.remove(mex%x);
				}
				mex++;
			}
			
			out.println(mex);
			
			
		}
		
		
		out.close();

	}
	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;
		}
	}

}
