#include<bits/stdc++.h>
using namespace std;
using ll=long long;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    ll K,N;
    cin>>K>>N;
    vector<ll> D(K),SD(K+1,0);
    for(int i=0;i<K;i++){
        cin>>D[i];
        SD[i+1]=D[i]+SD[i];
    }
    
    for(int i=0;i<K;i++){
        ll p=SD[i]-i;
        ll q=SD[K]-SD[i+1]-(K-i-1);
        ll a=SD[i]%N;
        ll b=N-((SD[i+1]-1)%N);
        if(a==0)a+=N;
        ll an=1e18;
        if(a<=p)an=min(an,a);
        if(b<=q)an=min(an,b);

        cout<<(an<1e17?an:-1)<<"\n";
    }
}