#include<bits/stdc++.h>
using namespace std;
#define int long long 
const int N=998244353;
int v[109];
struct w{
	int a,b,s,g;
}p[1000];
int r(int a,int b){
	int s=1;
	while (b){
		if (b&1){
			s=(s%N*a%N)%N;
		}
		a=(a%N*a%N)%N;
		b/=2;
	}
	return s;
}
signed main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int t,ans,m1,f1,s[13],s1,a[190],g[109],j,i;
	for (i=1;i<=100;i++){
		v[i]=i;
	}
	for (i=1;i<=100;i++){
		for (j=1;j<=i/2;j++){
			v[i]=max(v[i],v[j]*v[i-j]);
		}
		//cout<<v[i]<<" ";
		g[i]=v[i]%N;
	}
	cin>>t;
	v[0]=1;
	s[1]=0;
	while (t--){
		ans=1;
		for (i=1;i<=9;i++){
			cin>>a[i];
		}
		i=2;
		while (a[i]==0){
			i++;
		}
		for (i=2;i<=9;i++){
			s[i]=s[i-1]+a[i];
		}
		if (s[9]==0){
			cout<<g[a[1]]<<"\n";
			continue;
		}
		for (i=0;i<=a[1];i++){
			int i1=i;
			s1=1;
			j=2;
			while (i1>=s[min(j,9ll)]){
				i1-=s[min(j,9ll)];
				j++;
			}
			//cout<<j<<" "<<i1<<" ?";
			s1=s1%N*r(j,s[min(j,9ll)]-i1)%N;
			s1=s1%N*r(j+1,i1)%N;
			//cout<<s1<<" ?";
			p[i].a=a[1]-i;
			if (i1==0){
				p[i].b=j;
				p[i].g=j;
			}
			else{
				p[i].b=j;
				p[i].g=j+1;
			}
			j++;
			for (;j<=9;j++){
				s1=(s1%N*(r(j,a[j])%N))%N;
			}
			//cout<<s1<<"?";
			if ((a[1]-i)<=1){
				s1=(s1+a[1]-i)%N;
			}
			else{
				s1=(s1%N*g[(a[1]-i)]%N)%N;
			}
			p[i].s=s1;
			//if (i>0){
			//	if ((v[p[i].a]*p[i].b)<(v[p[i-1].a]*p[i-1].b)){
				//	break;
			//	}
		//	}
		}
		for (i=0;i<=a[1];i++){
			cout<<p[i].s<<" ";
		}
		cout<<"\n";
		for (i=1;i<=a[1];i++){
			cout<<((v[p[i].a]*p[i].g)<(v[p[i-1].a]*p[i-1].b))<<" ";
			if (((v[p[i].a]*p[i].g)<(v[p[i-1].a]*p[i-1].b))==1){
				break;
			}
		}
		cout<<"\n";
		cout<<p[i-1].s<<"\n";
	}
}