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// /#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math")
//#pragma GCC target("avx2,fma")
//#pragma unroll 8
//#pragma GCC target("arch=skylake")
// #pragma intrinsic(memcpy, memset)
// #pragma vector always
// #pragma GCC target("sse/*,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native*/")
#include <bits/stdc++.h>
#define MP make_pair
#define PB push_back
#define st first
#define nd second
#define rd third
#define FOR(i, a, b) for(int i =(a); i <=(b); ++i)
#define RE(i, n) FOR(i, 1, n)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)
#define REP(i, n) for(int i = 0;i <(n); ++i)
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define __builtin_ctz __builtin_ctzll
#define __builtin_clz __builtin_clzll
#define __builtin_popcount __builtin_popcountll
using namespace std;
template<class T1, class T2>
ostream& operator<< (ostream &out, pair<T1, T2> pair) { return out << "(" << pair.first << ", " << pair.second << ")";}
template<class A, class B, class C> struct Triple { A first; B second; C third;
  bool operator<(const Triple& t) const { if (st != t.st) return st < t.st; if (nd != t.nd) return nd < t.nd; return rd < t.rd; } };
  template<class T> void ResizeVec(T&, vector<int>) {}
  template<class T> void ResizeVec(vector<T>& vec, vector<int> sz) {
    vec.resize(sz[0]); sz.erase(sz.begin()); if (sz.empty()) { return; }
    for (T& v : vec) { ResizeVec(v, sz); }
  }
  typedef Triple<int, int, int> TIII;
  template<class A, class B, class C>
  ostream& operator<< (ostream &out, Triple<A, B, C> t) { return out << "(" << t.st << ", " << t.nd << ", " << t.rd << ")"; }
  template<class T> ostream& operator<<(ostream& out, vector<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }
  template<class T> ostream& operator<<(ostream& out, set<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }
  template<class L, class R> ostream& operator<<(ostream& out, map<L, R> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }
  
template<typename TH> void _dbg(const char* sdbg, TH h) { cerr<<sdbg<<"="<<h<<"\n"; }
template<typename TH, typename... TA> void _dbg(const char* sdbg, TH h, TA... t) {
  while(*sdbg != ',') { cerr<<*sdbg++; } cerr<<"="<<h<<","; _dbg(sdbg+1, t...);
}
#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (__VA_ARGS__)
#define cerr if(0)cout
#endif
typedef long double LD;
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<pair<int, int> > VPII;

template<class C> void mini(C&a4, C b4){a4=min(a4, b4); }
template<class C> void maxi(C&a4, C b4){a4=max(a4, b4); }

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//mt19937 rng(57);
#define rand fgfdgfdgfd

//const int R = 132;
const int R = 1e5 + 10;
short a[R / 2];
int prv[R / 2];
LD Timestamp() { 
  return  clock() * 1. / CLOCKS_PER_SEC;
}
LD f1, f2;
const int V = 200;
int sz[V];
int at_val[V][R / 2];
struct Sol {
  void Test() {
    int n, m;
    cin>>n>>m;
    //VI a(n + 2);
    RE (i, n) {
      cin>>a[i];
    }
    //VI prv(n + 1);
    prv[n] = m;
    //VVI at_val(R + 2);
    int last_non_dead = n;
    FORD (i, n - 1, 1) {
      int rem_guys = (n - i) / 2;
      // REP (j, max_val + 1) {
      //   at_val[j].clear();
      // }
      int m_val = 0;
#ifdef LOCAL
      f1 -= Timestamp();
#endif
      FORD (j, n, last_non_dead + 1) {
        int c = prv[j] + a[j];
        maxi(m_val, c);
        at_val[c][sz[c]] = j;
        sz[c]++;
      }
      FORD (j, last_non_dead - 1, i + 1) {
        at_val[0][sz[0]] = j;
        sz[0]++;
      }
#ifdef LOCAL
      f1 += Timestamp();
#endif
      int fir_need = prv[last_non_dead] + a[last_non_dead];
      if (prv[last_non_dead] == -1) {
        fir_need = 0;
      }
      if (fir_need <= m_val) {
        at_val[fir_need][sz[fir_need]] = last_non_dead;
        sz[fir_need]++;
        //at_val[fir_need].PB(i + 1);
      }
      //debug(i, rem_guys);
      int rem_money = m;
      REP (j, m_val + 1) {
        int take = min(sz[j], rem_guys);
        // if (i == 1) {
        //   debug(take, j);
        // }
        rem_guys -= take;
        rem_money -= j * take;
      }
      //debug(i, rem_money);
      //End: ;
#ifdef LOCAL
      f2 -= Timestamp();
#endif
      if (rem_money < 0) {
        prv[i] = -1;
        REP (j, m_val + 1) {
          sz[j] = 0;
        }
      } else {
        prv[i] = rem_money;
        rem_guys = (n - i) / 2;
        REP (j, m_val + 1) {
          if (rem_guys >= sz[j]) {
            REP (k, sz[j]) {
              prv[at_val[j][k]] = j;
            }
            rem_guys -= sz[j];
          } else if (rem_guys == 0) {
            REP (k, sz[j]) {
              prv[at_val[j][k]] = 0;
            }
          } else {
            for (int k = 0; k < rem_guys; k++) {
              prv[at_val[j][k]] = j;
            }
            for (int k = rem_guys; k < sz[j]; k++) {
              prv[at_val[j][k]] = 0;
            }
            rem_guys = 0;
          }
          sz[j] = 0;
        }
        if (prv[last_non_dead] != fir_need) {
          prv[last_non_dead] = 0;
        }
        last_non_dead = i;
      }
#ifdef LOCAL
      f2 += Timestamp();
#endif
    }
    RE (i, n) {
      cout<<prv[i]<<" ";
    }
    cout<<endl;
#ifdef LOCAL
    debug(f1, f2);
#endif
    
  }
};

int32_t main() {

  ios_base::sync_with_stdio(0);
  cout << fixed << setprecision(10);
  cerr << fixed << setprecision(10);
  cin.tie(0);
  //double beg_clock = 1.0 * clock() / CLOCKS_PER_SEC;
  
  int t = 1;
  RE (i, t) {
    Sol sol;
    sol.Test();
  }
  
  
  
  return 0;
}