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#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef struct item * pitem;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
const int INF=1e9+7;
const int LIM=5e4+7;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
struct item {
	int key, prior, iles, miw;
	pitem l, r;
	item (int key) : key(key), prior(rng()), iles(1), miw(key), l(nullptr), r(nullptr) { }
};
pitem V[70][70], arr[LIM];
int ANS[LIM];
vector<int>D[70];
int iles(pitem t) {
	if(!t) return 0;
	return t->iles;
}
int miw(pitem t) {
	if(!t) return INF;
	return t->miw;
}
void upd(pitem t) {
	if(!t) return;
	t->iles=1+iles(t->l)+iles(t->r);
	t->miw=min(t->key, min(miw(t->l), miw(t->r)));
}
void spl(pitem t, int key, pitem &l, pitem &r) {
	if(!t) l=r=nullptr;
	else if(t->key<=key) {
		spl(t->r, key, t->r, r);
		l=t;
	} else {
		spl(t->l, key, l, t->l);
		r=t;
	}
	upd(t);
}
void merge(pitem &t, pitem l, pitem r) {
	if(!l || !r) t=l?l:r;
	else if(l->prior>r->prior) {
		merge(l->r, l->r, r);
		t=l;
	} else {
		merge(r->l, l, r->l);
		t=r;
	}
	upd(t);
}
int cnt(pitem t, int x) {
	pitem a;
	spl(t, x, a, t);
	int wyn=iles(a);
	merge(t, a, t);
	return wyn;
}
pitem uni(pitem l, pitem r) {
	while(l && r) {
		int a=miw(l), b=miw(r);
		pitem t;
		if(a<b) {
			spl(l, b, t, l);
			merge(r, t, r);
		} else {
			spl(r, a, t, r);
			merge(l, t, l);
		}
	}
	if(!l) return r;
	return l;
}
void DFS(pitem v, int w) {
	if(!v) return;
	ANS[v->key]=w;
	DFS(v->l, w);
	DFS(v->r, w);
}
int main() {
	ios_base::sync_with_stdio(0); cin.tie(0);
	for(int i=1; i<=65; ++i) {
		for(int j=i; j<=65; j+=i) D[j].pb(i);
	}
	int n, m;
	cin >> n >> m;
	rep(i, n) arr[i]=new item(i);
	vector<int>T(n), czy(n);
	rep(i, n) cin >> T[i];
	reverse(all(T));
	int ile=0;
	vector<pair<int,int>>P;
	rep(i, n) {
		int k=(i-2*ile)/2, sum=0;
		pair<int,int>mi={65, n};
		if(k<=0) mi={-1, -1};
		for(int j=1; j<=65; ++j) {
			if(k<=0) {
				mi=min(mi, {j-1, n});
				for(auto l : D[j]) {
					V[l][69]=uni(V[l][69], V[l][j/l-1]);
					V[l][j/l-1]=nullptr;
				}
				continue;
			}
			int aktk=0, aktsum=0;
			for(auto l : D[j]) {
				aktk+=iles(V[l][j/l-1]);
				aktsum+=iles(V[l][j/l-1])*j;
			}
			for(auto l : P) if(l.st+T[l.nd]==j) {
				++aktk;
				aktsum+=j;
			}
			if(aktk<k) {
				sum+=aktsum;
				if(sum>m) break;
				k-=aktk;
				continue;
			}
			int po=0, ko=n;
			while(po<ko) {
				int sr=(po+ko)/2;
				int aktile=0;
				for(auto l : D[j]) aktile+=cnt(V[l][j/l-1], sr);
				for(auto l : P) if(l.st+T[l.nd]==j && l.nd<=sr) ++aktile;
				if(aktile<k) po=sr+1; else ko=sr;
			}
			sum+=k*j;
			if(sum>m) break;
			k=0;
			mi={j, po};
			for(auto l : D[j]) {
				pitem a;
				spl(V[l][j/l-1], po, V[l][j/l-1], a);
				V[l][69]=uni(V[l][69], a);
			}
		}
		if(sum>m) {
			czy[i]=1;
			++ile;
			continue;
		}
		rep(j, ile) V[T[i-j-1]][69]=uni(V[T[i-j-1]][69], arr[i-j-1]);
		ile=0;
		for(int j=(int)P.size()-1; j>=0; --j) {
			P[j].st+=T[P[j].nd];
			if(P[j]>mi) {
				swap(P[j], P[(int)P.size()-1]);
				V[T[P.back().nd]][69]=uni(V[T[P.back().nd]][69], arr[P.back().nd]);
				P.pop_back();
			}
		}
		P.pb({m-sum, i});
		for(int j=1; j<=65; ++j) {
			V[j][69]=uni(V[j][69], V[j][65/j]);
			V[j][65/j]=nullptr;
			for(int l=65/j; l>=0; --l) V[j][l+1]=V[j][l];
			V[j][0]=V[j][69];
			V[j][69]=nullptr;
		}
	}
	rep(i, n) ANS[i]=-1;
	rep(i, P.size()) ANS[P[i].nd]=P[i].st;
	for(int j=1; j<=65; ++j) for(int i=0; i<=65; ++i) DFS(V[j][i], i*j);
	reverse(ANS, ANS+n);
	rep(i, n) cout << ANS[i] << " ";
	cout << '\n';
}