//Konrad Paluszek,University of Warsaw(former XIV LO Staszic)
//it's nice to stick a fork into an open socket
//clock says it's time to sleep
//our getppid() in heaven, hallowed by ttyname
#ifndef LOCAL
#pragma GCC optimize("O3")
#endif
#define TIME (chrono::steady_clock::now().time_since_epoch().count())
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#define xfm(a,b)a##b
#define xwb(a,b)xfm(a,b)
#define _ xwb(nvj,__LINE__)
#define FOR(i,b,e)for(urs((b)+(e))i=(b);i<=(e);++i)
#define REP(i,n)for(urs(n)i=0;i<(n);++i)
#define FORD(i,b,e)for(urs((b)+(e))i=(b);i>=(int)(e);--i)
#define UNTIL(t)while(clock()<(t)*CLOCKS_PER_SEC)
#define PER(r...)for(bool _=1;_||next_permutation(r);_=false)
#define ALL(r)(r).begin(),(r).end()
#define FS(r)r.first,r.second
#define sim template<class c
#define ros return o
#define rans return ans
#define forbits(i,m)if(m)for(urs(m)i=ctz(m),i##nvj=m;i##nvj;i##nvj^=((urs(m))1<<i),i=ctz(i##nvj))
#define fordbits(i,m)if(m)for(urs(m)i=8*sizeof(m)-clz(m)-1,i##nxd=m;i##nxd;i##nxd^=((urs(m))1<<i),i=8*sizeof(m)-clz(i##nxd)-1)
#define ksets(t, m, k, n) for (t m = (((t)1 << (k)) - 1); m < ((t)1 << (n)); m = nux(m))
#define urs(r...)typename decay<decltype(r)>::type
#define hur(f,g,r)sim>int f(c a){if(sizeof(c)==16)return r;if(sizeof(c)==8)return g##ll(a);return g(a);}
#define pwq(t,i) int clz(t x){return clz<int>(x)-i;}
using namespace __gnu_pbds;using namespace std;using ll=long long;using ld=long double;using ull=unsigned long long;using pii=pair<int,int>;using pll=pair<ll,ll>;using vpii=vector<pii>;using unt=unsigned int;sim>using min_queue=priority_queue<c,vector<c>,greater<c>>;sim>using ordered_set=tree<c,null_type,less<c>,rb_tree_tag,tree_order_statistics_node_update>;hur(popc,__builtin_popcount,popc<ull>(a)+popc<ull>(a>>64))hur(ctz,__builtin_ctz,(ull)a?ctz<ull>(a):64+ctz<ull>(a>>64))hur(clz,__builtin_clz,a>>64?clz<ull>(a>>64):64+clz<ull>(a))pwq(short,16)pwq(uint16_t,16)pwq(char,24)pwq(int8_t,24)pwq(uint8_t,24)sim,class N>bool mini(c&o,const N&h){if(o>h)ros=h,1;return 0;}sim,class N>bool maxi(c&o,const N&h){if(o<h)ros=h,1;return 0;}sim,class n>using gyv=c;
#ifdef LOCAL
#include </home/kjp/headers/debuglib.hpp>
#else
#define loc(...)
#define onl(r...)r
#define debug(...)
#define print_stack(...)
#define mark_stack(...)
#define set_pre(...)
#define reg_it(...)
#endif
#define next nexT
#define prev preV
#define tree trEE
#define left lefT
#define right righT
#define div diV
#define y1 y_1
ull mix(ull o){o+=0x9e3779b97f4a7c15;o=(o^(o>>30))*0xbf58476d1ce4e5b9;o=(o^(o>>27))*0x94d049bb133111eb;ros^(o>>31);}ull SALT=0x7a14a4b0881ebf9,tqu=0x7a14a4b0881ebf9;ull my_rand(){return tqu=mix(tqu);}void my_srand(ull x){SALT=tqu=x;}const int inf = 1023400000;const ll llinf=1234567890000000000ll;
#define rand my_rand
#define srand my_srand
#define random_shuffle(r...)random_shuffle(r,[](int _){return my_rand()%_;})
sim>inline c nux(c m){if(!m)return numeric_limits<c>::max();c A=m&-m;c B=~((A-1)^m);c C=B&-B;c D=(C>>(1+ctz(A)))-1;return C|(m&~(C-1))|D;}__attribute__((no_sanitize_undefined))ll mul(ll a,ll b,ll m){ll q=a*(ld)b/m;ll o=a*b-q*m;o%=m;if(o<0)o+=m;ros;}sim>void unq(c&x){x.resize(unique(ALL(x))-x.begin());}
#if ((ULONG_MAX) != (UINT_MAX))
namespace std {template <> struct is_signed<__int128> : public true_type {};}
#endif
#define q31 (8 * sizeof(c) - 1)
sim> typename enable_if<is_signed<c>::value, c>::type FastMax(c x, c y) { return ((x - y) >> q31 & (x ^ y)) ^ x; }
sim> typename enable_if<is_signed<c>::value, c>::type FastMin(c x, c y) { return ((x - y) >> q31 & (x ^ y)) ^ y; }
sim> typename enable_if<is_signed<c>::value, c>::type FastAbs(c x)        { return (x ^ x >> q31) - (x >> q31); }
sim> typename enable_if<is_signed<c>::value, c>::type gcd(c a, c b) {
	loc(assert(a > 0 && b > 0));
	int aa = ctz(a), bb = ctz(b);
	int r = FastMin(aa, bb);
	a >>= aa;
	while (a && b) {
		b >>= ctz(b);
		c x = FastAbs(a - b);
		a = FastMin(a, b);
		b = x;
	}
	return (a + b) << r;
}
sim> c lcm(c a, c b) {return a / gcd(a, b) * b;}
sim>typename enable_if<is_integral<c>::value,ull>::type my_hash(c x){
	if(sizeof(c)>8) return mix((ull)x^SALT)^mix((ull)(x>>64)^SALT);
	return mix(x^SALT);
}
template<size_t N>ull my_hash(const bitset<N>&x){
	return mix(hash<bitset<N>>()(x)^SALT);
}
sim,class n>ull my_hash(const pair<c,n>&);
sim>gyv<ull,typename c::value_type>my_hash(const c&x){
	ull o=SALT;
	for(auto&d:x)o=mix(o^my_hash(d));
	ros;
}
sim,class n>ull my_hash(const pair<c,n>&x){return mix(my_hash(x.first))^my_hash(x.second);}
sim>struct my_hasher{size_t operator()(const c&o)const{return my_hash(o);}};
sim, class m>
#ifdef LOCAL
using _un0rDer3d_M4P=unordered_map<c,m,my_hasher<c>>;
sim> using _un0rDer3d_5et = unordered_set<c, my_hasher<c>>;
#else
struct _un0rDer3d_M4P : public cc_hash_table<c,m,my_hasher<c>>{bool count(const c&x)const{return this->find(x) != this->end();}};
sim> using _un0rDer3d_5et = _un0rDer3d_M4P<c, null_type>;
#endif
#define unordered_map _un0rDer3d_M4P
#define unordered_set _un0rDer3d_5et
#if defined(LOCAL) || defined(LOCAL2)
void __tmi() {cerr << "total time: " << clock() / (ld)CLOCKS_PER_SEC << "s" << endl;}int _ = (atexit(__tmi), 0);
#endif
#define rer(o,f) zet_p operator o(zet_p y)const{return zet_p(v f loc(,w o y.w));}zet_p&operator o##=(zet_p y){return*this=*this o y;}
#define ycc(o) sim>typename enable_if<is_integral<c>::value,zet_p>::type operator o(c a, zet_p b){return zet_p(a) o b;}
const int mod = 119 << 23 | 1;
ll inv(ll b){assert(b);int e=mod-2;ll o=1;while(e){if(e&1)o=o*b%mod;b=b*b%mod;e>>=1;}ros;}struct zet_p{int v;loc(ld w;)sim=int,typename=typename enable_if<is_integral<c>::value>::type>zet_p(c r=0):v(r%mod)loc(,w(r)){}loc(sim>zet_p(c a, ld b):v(a%mod),w(b){})rer(+,+y.v)rer(-,-y.v)rer(*,*1ll*y.v)rer(/,*inv(y.v))int get()const{return ((unt)v+mod)%mod;}zet_p operator-()const{return zet_p(-v loc(,-w));}bool operator==(zet_p y)const{return(v-y.v)%mod==0;}};ycc(+)ycc(-)ycc(*)ycc(/)sim>bool operator==(c a, zet_p b){return zet_p(a)==b;}loc(ostream&operator<<(ostream &o,zet_p y){ros<<"["<<y.get()<<"~"<<y.w<<"]";})
const int nax = 1 << 18;
zet_p a[nax], v[nax], ans[nax];
void transform(zet_p a[], int n, bool inv) {
	const int N = 1 << n;
	debug(range(a, a + N), imie(inv));
	REP(i, n) REP(m, N) if (m >> i & 1) {
		zet_p x = a[m ^ (1 << i)], y = a[m];
		a[m ^ (1 << i)] = x + y;
		a[m] = x - y;
	}
	if (inv) {
		zet_p d = zet_p(1) / N;
		REP(i, N) a[i] *= d;
	}
	debug(range(a, a + N));
}
int main() {
	int n;
	scanf("%d", &n);
	const int N = 1 << n;
	int s = 0;
	REP(i, N) {
		int p;
		scanf("%d", &p);
		s += p;
		a[i] = p;
	}
	zet_p inv = zet_p(1) / s;
	REP(i, N) a[i] *= inv;
	REP(i, N) v[i] = 1;
	v[0] -= N;
	a[0] -= 1;
	debug(range(a, 0, N));
	transform(a, n, false);
	transform(v, n, false);
	debug(range(a, 0, N), range(v, 0, N));
	REP(i, N) {
		if (i) ans[i] = -v[i] / a[i];
	}
	transform(ans, n, true);
	zet_p sub = ans[0];
	REP(i, N) ans[i] -= sub;
	debug(range(ans, 0, N));
	REP(i, N) printf("%d\n", ans[i].get());
}


Measured memory_bytes: 5888