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//~ mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//~ while (clock()<=69*CLOCKS_PER_SEC)
//~ #pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("O3")
//~ #pragma GCC target ("avx2")
//~ #pragma GCC optimize("Ofast")
//~ #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//~ #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace __gnu_pbds;
using namespace std;

template <typename T>
using ordered_set =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
  enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
  ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
  *this << "[";
  for (auto it = d.b; it != d.e; ++it)
    *this << ", " + 2 * (it == d.b) << *it;
  ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "

#define shandom_ruffle random_shuffle

using ll=long long;
using pii=pair<int,int>;
using pll=pair<ll,ll>;
using vi=vector<int>;
using vll=vector<ll>;
const int nax=50*1007;
const int inf=1007*1007*1007;

//~ mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937 rng(69);

struct node {
	int roz=1;
	int id;
	int prio;
	node *lew, *oj, *pra;
	node() { lew=pra=oj=NULL; prio=rng();}
	node(int idid) { id=idid; lew=pra=oj=NULL; prio=rng();}
};
void update(node *v) {
	if (v==NULL) return;
	v->roz=1;
	if (v->lew)
		(v->roz)+=(v->lew->roz);
	if (v->pra)
		(v->roz)+=(v->pra->roz);
}
node *merge(node *v, node *u) {
	if (v==NULL) return u;
	if (u==NULL) return v;	
	if ((v->prio)>(u->prio)) {
		v->pra=merge(v->pra, u);
		v->pra->oj=v;
		update(v);
		return v;
	} else {
		u->lew=merge(v, u->lew);
		u->lew->oj=u;
		update(u);
		return u;
	}
}
pair <node*, node*> split(node *v, int gra) {
	if (v==NULL)
		return make_pair(v, v);
	pair <node*, node*> ret;
	v->oj=NULL;
	if ((v->id)<=gra) {
		ret=split(v->pra, gra);
		v->pra=ret.first;
		if (v->pra!=NULL)
			v->pra->oj=v;
		ret.first=v;
	} else {
		ret=split(v->lew, gra);
		v->lew=ret.second;
		if (v->lew!=NULL)
			v->lew->oj=v;
		ret.second=v;
	}
	update(v);
	return ret;
}
int rozmiar(node *v)
{
	if (v==NULL)
		return 0;
	return v->roz;
}
int minimum(node *v)
{
	if (!v)
		return inf;
	while(v->lew)
		v=(v->lew);
	return v->id;
}
int count_geq(node *v, int lim)
{
	if (v==NULL)
		return 0;
	if ((v->id)>=lim)
		return 1+rozmiar(v->pra)+count_geq(v->lew, lim);
	return count_geq(v->pra, lim);
}
node *merge_smart(node *a, node *b)
{
	node *ret=NULL;
	int ma=minimum(a);
	int mb=minimum(b);
	while(ma<inf || mb<inf)
	{
		if (ma>mb)
		{
			swap(ma, mb);
			swap(a, b);
			continue;
		}
		auto wez=split(a, mb);
		ret=merge(ret, wez.first);
		a=wez.second;
		ma=minimum(a);
	}
	return ret;
}

int n, m;

int tab[nax];

node *smierc;//i halucynacje z niedozywienia ;_;

vector<pair<pii,node*>> wek;

vi glolist;

int wyn[nax];

void dfs1(node *v)
{
	if (v==NULL)
		return;
	glolist.push_back(v->id);
	dfs1(v->lew);
	dfs1(v->pra);
	delete v;
}

vi listuj(node *v)
{
	glolist.clear();
	dfs1(v);
	return glolist;
}

bool mniej(pair<pii,node*> a, pair<pii,node*> b)
{
	return a.first.first+a.first.second<b.first.first+b.first.second;
}

int main()
{
	scanf("%d%d", &n, &m);
	for (int i=1; i<=n; i++)
		scanf("%d", &tab[i]);
	for (int i=n; i; i--)
	{
		int chce_glosow=(n-i)/2;
		
		sort(wek.begin(), wek.end(), mniej);
		
		int potrzebuje=0;
		int mam_glosy=rozmiar(smierc);
		
		int granica=-1;
		
		for (auto j : wek)
		{
			if (mam_glosy>=chce_glosow)
				break;
			int tu=min(chce_glosow-mam_glosy, rozmiar(j.second));
			mam_glosy+=tu;
			potrzebuje+=tu*(j.first.first+j.first.second);
			granica=j.first.first+j.first.second;
		}
		assert(mam_glosy>=chce_glosow);
		if (potrzebuje>m)
		{
			smierc=merge(new node(i), smierc);
			continue;
		}
		
		vector<pair<pii,node*>> nowe;
		vector<pair<int,node*>> srodkowe;
		int jeszcze_chce=chce_glosow;
		for (int j : listuj(smierc))
		{
			if (jeszcze_chce)
				jeszcze_chce--;
			nowe.push_back({{0, tab[j]}, new node(j)});
		}
		smierc=NULL;
		for (auto j : wek)
		{
			if ((j.first.first+j.first.second)<granica)
			{
				jeszcze_chce-=rozmiar(j.second);
				nowe.push_back({{j.first.first+j.first.second, j.first.second}, j.second});
			}
			if ((j.first.first+j.first.second)==granica)
			{
				srodkowe.push_back({j.first.second, j.second});
			}
			if ((j.first.first+j.first.second)>granica)
			{
				nowe.push_back({{0, j.first.second}, j.second});
			}
		}
		
		int bsa=i+1;
		int bsb=n+1;
		int gdz=-1;
		while(1)
		{
			int bss=(bsa+bsb)>>1;
			int licz=0;
			for (auto j : srodkowe)
				licz+=count_geq(j.second, bss);
			if (licz==jeszcze_chce)
			{
				gdz=bss;
				break;
			}
			if (licz<jeszcze_chce)
				bsb=bss-1;
			else
				bsa=bss+1;
		}
		
		for (auto j : srodkowe)
		{
			auto wez=split(j.second, gdz-1);
			nowe.push_back({{0, j.first}, wez.first});
			nowe.push_back({{granica, j.first}, wez.second});
		}
		
		nowe.push_back({{m-potrzebuje, tab[i]}, new node(i)});
		
		wek.clear();
		sort(nowe.begin(), nowe.end());
		for (auto j : nowe)
		{
			if (!rozmiar(j.second))
				continue;
			if (!wek.empty() && j.first==wek.back().first)
				wek.back().second=merge_smart(wek.back().second, j.second);
			else
				wek.push_back(j);
		}
	}
	
	for (int i=1; i<=n; i++)
		wyn[i]=-2;
	for (int i : listuj(smierc))
		wyn[i]=-1;
	for (auto i : wek)
		for (int j : listuj(i.second))
			wyn[j]=i.first.first;
	for (int i=1; i<=n; i++)
		printf("%d ", wyn[i]);
	printf("\n");
	return 0;
}