#include<bits/stdc++.h>
#define db double
#define int ll
#define ll long long
#define ull unsigned long long
#define pb emplace_back
#define MP make_pair
#define pii pair<int, int>
#define fi first
#define se second
#define ls k<<1
#define rs k<<1|1
#define CLK (double)clock()/(double)CLOCKS_PER_SEC
using namespace std;
mt19937 rnd(time(0));
inline int read(){
	register int x=0,f=1;
	register char ch=getchar();
	while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
	return x*f;
}
inline void write(register int x){
	if(x<0){putchar('-');x=-x;}
	if(x>9)write(x/10);
	putchar(x%10+'0');
}
const int N=1025,mod=998244353,G=3;
int rev[N];
int Qpow(int b,int p){
	int res=1ll;
	while(p){if(p&1)(res*=b)%=mod;(b*=b)%=mod;p>>=1;}
	return res;
}
void change(int *y,int n){
	for(int i=0;i<n;i++){
		rev[i]=rev[i>>1]>>1;
		if(i&1)rev[i]|=(n>>1);
	}
	for(int i=0;i<n;i++)if(i<rev[i])swap(y[i],y[rev[i]]);
}
void NTT(int *y,int n,int on){
	change(y,n);
	for(int h=2;h<=n;h<<=1){
		int gn=Qpow(G,(mod-1)/h);
		if(on==-1)gn=Qpow(gn,mod-2);
		for(int j=0;j<n;j+=h){
			int g=1;
			for(int k=j;k<j+h/2;k++){
				int u=y[k],t=g*y[k+h/2]%mod;
				y[k]=(u+t)%mod,y[k+h/2]=(u-t+mod)%mod;
				(g*=gn)%=mod;
			}
		}
	}
	if(on==1)return ;
	int ivn=Qpow(n,mod-2);
	for(int i=0;i<n;i++)(y[i]*=ivn)%=mod;
}
int n,q,p,len,a[20],b[20][N],c[20][N],A[20][530][N],B[20][N],C[20][N],D[N];
char s[53000][20];
int m[53000],k[53000];
void prework(int i,int j,int *a){
	for(int k=0;k<=c[i][j];k++)a[k*b[i][j]]=1;
}
void MAIN(){
	n=read();q=read();p=read();len=1024;
	for(int i=1;i<=n;i++){
		a[i]=read();
		for(int j=1;j<=a[i];j++)b[i][j]=read(),c[i][j]=read();
	}
	for(int i=1;i<=q;i++)scanf("%s",s[i]+1),m[i]=read(),k[i]=read();
	for(int id=1;id<=n;id++){
		for(int i=1;i<=a[id];i++)prework(id,i,A[id][i]);
		for(int i=1;i<=a[id];i++)NTT(A[id][i],len,1);
		memcpy(B[id],A[id][1],sizeof A[id][1]);
		for(int i=2;i<=a[id];i++)for(int j=0;j<=len;j++)B[id][j]=B[id][j]*A[id][i][j]%mod;
		NTT(B[id],len,-1);
	}
	for(int _=1;_<=q;_++){
		for(int id=1;id<=n;id++){
			for(int j=0;j<=len;j++)C[id][j]=B[id][j];
			if(s[_][id]=='1')for(int j=0;j<k[_];j++)C[id][j]=0;
			NTT(C[id],len,1);
		}
		memcpy(D,C[1],sizeof C[1]);
		for(int id=2;id<=n;id++)for(int j=0;j<=len;j++)D[j]=D[j]*C[id][j]%mod;
		NTT(D,len,-1);
		int res=0;
		for(int i=0;i<=m[_];i++)(res+=D[i])%=mod;
		cout<<res<<"\n";
	}
}
signed main(){
	//freopen("a.in","r",stdin);
//	freopen("a.out","w",stdout);
    int T=1;while(T--)MAIN();
//  printf("\nTIME:%lf\n",(double)clock()/CLOCKS_PER_SEC);
	return 0;
}