#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#define pb emplace_back
#define mp make_pair
#define tci(v,i) for(auto i=v.begin();i!=v.end();i++)
#define all(v) v.begin(),v.end()
#define rep(i,start,lim) for(long long (i)=(start);i<(lim);i++)
#define boost ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define osit ostream_iterator<int> output (cout," ")
#define pv(x) copy(all(x),output)
#define pa(a) rep(i,0,sizeof(a)/sizeof(a[0]))cout<<a[i]<<" "
#define endl '\n'
#define f first
#define s second
#define PI 3.141592653589793
#define set0(x) memset(x,0,sizeof(x))
#define sort_uniq(c) (sort(c.begin(), c.end()), c.resize(distance(c.begin(), unique(c.begin(), c.end()))))
#define uniq(a) a.resize(distance(a.begin(), unique(a.begin(), a.end())))
#define dg(x) cout<<#x<<':'<<x<<endl;
#define dg2(x,y) cout<<#x<<':'<<x<<' '<<#y<<':'<<y<<endl;
#define dg3(x,y,z) cout<<#x<<':'<<x<<' '<<#y<<':'<<y<<' '<<#z<<':'<<z<<endl;
#define dg4(x,y,z,zz) cout<<#x<<':'<<x<<' '<<#y<<':'<<y<<' '<<#z<<':'<<z<<' '<<#zz<<':'<<zz<<endl;
using namespace __gnu_pbds;
using namespace std;
typedef vector<int> vi;
typedef pair<int,int> ii;
typedef vector<ii> vii;
typedef tree<pair<int,int>,null_type,less<pair<int,int>>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
template<typename T> T gcd(T a,T b){if(a==0) return b; return gcd(b%a,a);}
int isPowerof2(int x) { return (x && !(x & x-1)); }

const int N=4e5;
int cnt[N];

int main(){
	boost;
	int q,x;
	cin>>q>>x;
	set<int> st;
	for(int i=0;i<=N+100;i++){
		st.insert(i);
	}
	while(q--){
		int y;
		cin>>y;
		y=y%x;
		cnt[y]++;
		int num=3*(cnt[y]-1)+y;
		st.erase(num);
		cout<<*st.begin()<<endl;
	}
	return 0;
}