import os
import sys
from io import BytesIO, IOBase

_str = str
str = lambda x=b"": x if type(x) is bytes else _str(x).encode()

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


input = lambda: sys.stdin.readline().rstrip("\r\n")
q,x = map(int,input().split())
Table = [0] * x
# THis is our table      
# Value                     0     1    2    3     4     5  ..    x - 1  
# How many encountered      0     0    0    0     0     0  ..      0   
 
 
hunting = 0
for i in range(q):
    val = int(input()) % x
    Table[val] += 1
    # print(Table)
    # max search x times (cyclic)
    while(Table[hunting%x]>0):
        Table[hunting%x] -= 1 # Removing it because yes yes yes we reached the minimum
        # print(hunting)
        hunting += 1
    print(hunting)

