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

int main(){
  int k;ll n;cin>>k>>n;
  vector<ll> d(k);
  ll l=0,s=0;
  for(ll &i:d)cin>>i,s+=i;
  for(int i=0;i<k;i++){
    ll ans=1e18;
    if(i&&i<=(l-1)/n*n)ans=min(ans,l%n+n*(l%n==0));
    if(i!=k-1&&k-i<=s-(l+d[i]+n-1)/n*n)ans=min(ans,n-(l+d[i]-1)%n);
    cout<<(ans==1e18?-1:ans)<<endl;
    l+=d[i];
  }
}