#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;

using ll = int64_t;
using ul = uint64_t;
using ld = long double;
using vi = vector<int>;
using vc = vector<char>;
using vs = vector<string>;
using vb = vector<bool>;
using vl = vector<ll>;
using vvi = vector<vi>;
using vvc = vector<vc>;
using vvb = vector<vb>;
using vvl = vector<vl>;
using mint = modint998244353;
using vm = vector<mint>;

int main() {
  ll K,N;
  cin >> K >> N;
  vl D(K);
  ll sum = 0;
  for (int i = 0; i < K; i++) {
    cin >> D[i];
    sum += D[i];
  }
  ll past = 0;
  for (int i = 0; i < K; i++) {
    ll l = past + 1, r = past + D[i];
    ll L = (l + N - 2)/N*N + 1,R = (r - 1)/N*N + 1;
    ll L2 = L - N,R2 = R + N;
    ll ans = 1e18;
    if (L2 - 1 >= i) ans = l - L2;
    if (R2 + K - i - 1 <= sum) ans = min(ans, R2 - r);
    if (ans < 1e18) cout << ans << endl;
    else cout << -1 << endl;
    past += D[i];
  }
  return 0;
}