import java.lang.reflect.Array;
import java.util.*;
import java.io.*;
import static java.lang.Math.*;
public class Reader_ {
    static class Reader {
        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;

        public Reader() {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public Reader(String file_name) throws IOException {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public String nextLine() throws IOException {
            byte[] buf = new byte[64]; // line length
            int cnt = 0, c;
            while ((c = read()) != -1) {
                if (c == '\n')
                    break;
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }

        public int ni() throws IOException {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');

            if (neg)
                return -ret;
            return ret;
        }

        public long nl() throws IOException {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public double nd() throws IOException {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();

            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');

            if (c == '.') {
                while ((c = read()) >= '0' && c <= '9') {
                    ret += (c - '0') / (div *= 10);
                }
            }

            if (neg)
                return -ret;
            return ret;
        }

        private void fillBuffer() throws IOException {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }

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

        public void close() throws IOException {
            if (din == null)
                return;
            din.close();
        }
    }
    public static void main(String[] args) {
        new Thread(null, null, "Rahsut", 1 << 25) {
            public void run() {
                try {
                    Freak();
                } catch (Exception e) {
                    e.printStackTrace();
                    System.exit(1);
                }
            }
        }.start();
    }
    static long modPow(long x, long p, long m) {
        if (p == 0)
            return 1;
        if (p % 2 == 0)
            return modPow((x * x) % m, p >> 1, m) % m;
        return x * (modPow(x, p - 1, m) % m) % m;
    }
    static long mul(long a, long b, long m) {
        a %= m;
        b %= m;
        return (a * b) % m;
    }
    static long gcd(long a,long b) {
        if(b%a==0)
            return a;
        return gcd(b%a,a);
    }
    static long lcm(long a, long b) {
        a/=gcd(a,b);
        return a*b;
    }
    public static class Pair implements Comparable<Pair> {
        long x, y;
        Pair(long x, long y) {
            this.x = x;
            this.y = y;
        }

        public int compareTo(Pair o) {
            if (x != o.x)
                return (int)x - (int)o.x;
            return (int)y - (int)o.y;
        }

        public String toString() {
            return x + " " + y;
        }
    }

    //global variable
    static Reader sc = new Reader();
    static StringBuilder sb = new StringBuilder();
    static PrintWriter pw = new PrintWriter(System.out, true);
    static int dir1[][]= {{1,0},{-1,0},{0,1},{0,-1}},n,q,t;
    static int dir2[][] ={{1,-1},{-1,1},{1,1},{-1,-1}};
    static long dp[], mod = (long)1e9 + 7;
    static boolean bool[][];
    static Map<Long, Long> map;
    static void Freak() throws IOException {
        int q = sc.ni(), x = sc.ni();
        int arr[] = new int[x];
        TreeSet<Integer> set = new TreeSet<>();
        for(int i =0;i<=q;i++)
            set.add(i);
        while(q-->0) {
            int val = sc.ni()%x;
            int rem = (arr[val])*x + val;
            set.remove(rem);
            arr[val]++;
            val = set.pollFirst();
            sb.append(val+"\n");
            set.add(val);
        }
        pw.println(sb);
        pw.flush();
        pw.close();
    }
}
