#include<cstdio>
#define fo(i,x,y) for(int i = x;i <= y;++i)
#define fd(i,x,y) for(int i = x;i >= y;--i)
#define _is 1048576 * 3
#define _os 1048576
#define gc() ib[++bi]
#define pc(ch) ob[++bo] = ch
#define p 998244353
#define N 1024
#define add(x,y) (x >= p - y ? x + y - p : x + y)
#define sub(x,y) (x < y ? x - y + p : x - y)
using namespace std;
char ib[_is],ob[_os];int bi = -1,bo = -1;
int rd()
{
	int x = 0;char ch = gc();
	while(ch < 48 || ch > 57) ch = gc();
	while(ch >= 48 && ch <= 57) x = x * 10 + ch - 48,ch = gc();return x;
}
void gs(char *s)
{
	int l = -1;char ch = gc();
	while(ch != 48 && ch != 49) ch = gc();
	while(ch == 48 || ch == 49) s[++l] = ch,ch = gc();
	s[++l] = 0;
}
void pr(int x)
{
	char ch[20];int w = -1;
	if(x == 0) ch[++w] = 48;
	while(x) ch[++w] = x % 10 + 48,x /= 10;
	fd(i,w,0) pc(ch[i]);pc('\n');
}
int n,q,P,a[20][N],m = 520,k;
char s[20];
int f[N],g[N],w[N + 1],iN;
void inc(int &x,int y) {x = x + y >= p ? x + y - p : x + y;}
int min(int x,int y) {return x < y ? x : y;}
int ksm(int x,int y)
{
	int res = 1;
	for(;y;y >>= 1,x = 1ll * x * x % p) if(y & 1) res = 1ll * res * x % p;
	return res;
}
void pre()
{
	int lg = 10;
	w[0] = 1,w[1ll << lg] = ksm(3,p - 1 >> lg + 2);
	fd(i,lg,1) w[1ll << i - 1] = 1ll * w[1ll << i] * w[1ll << i] % p;
	fo(i,1,N - 1) w[i] = 1ll * w[i & i - 1] * w[i & -i] % p;
}
void DIF(int *a)
{
	for(int l = N >> 1;l;l >>= 1) for(int i = 0,k = 0;i < N;i += l << 1,++k) fo(j,0,l - 1)
	{
		int x = a[i + j],y = 1ll * a[i + j + l] * w[k] % p;
		a[i + j] = add(x,y),a[i + j + l] = sub(x,y);
	}
}
void DIT(int *a)
{
	for(int l = 1;l < N;l <<= 1) for(int i = 0,k = 0;i < N;i += (l << 1),++k) fo(j,0,l - 1)
	{
		int x = a[i + j],y = a[i + j + l];
		a[i + j] = add(x,y),a[i + j + l] = 1ll * sub(x,y) * w[k] % p;
	}
	fo(i,1,N - 1 >> 1) a[i] ^= a[N - i] ^= a[i] ^= a[N - i];
	fo(i,0,N - 1) a[i] = 1ll * a[i] * iN % p;
}
int t[530];
void M(int *f)
{
	fo(i,512,520) t[i] = 0;
	fo(i,0,8) fo(j,512,520) t[i + j] = (t[i + j] + 1ll * f[i] * g[j] + 1ll * g[i] * f[j]) % p;
	fo(i,512,520) f[i] = g[i] = 0;
	DIF(f),DIF(g);
	fo(i,0,N - 1) f[i] = 1ll * f[i] * g[i] % p;
	DIT(f);
	fo(i,m + 1,N - 1) f[i] = 0;	
	fo(i,512,m) inc(f[i],t[i]);
}
int F[32768][N];
int main()
{
	fread(ib,1,_is,stdin);
	n = rd(),q = rd(),P = rd(),iN = ksm(N,p - 2);
	pre();
	int A = 0;
	fo(i,1,n)
	{
		int m = rd();
		if(m > A) A = m;
		a[i][0] = 1;
		while(m--)
		{
			int b = rd(),c = rd();
			fo(j,0,N - 1) g[j] = 0;
			fo(j,0,min(c,520 / b)) g[j * b] = 1;
			M(a[i]);
		}
	}
	if(A > 1)
	{
		fo(i,1,n) fo(j,0,m) F[1 << i - 1][j] = a[i][j];
		fo(i,1,(1 << n) - 1)
		{
			int I = i & -i;
			fo(j,0,N - 1) g[j] = 0;
			fo(j,0,m) F[i][j] = F[I][j],g[j] = F[i ^ I][j];
			M(F[i]);
		}
	}
	int Q = q;
	while(q--)
	{
		gs(s + 1),m = rd(),k = rd();
		bool bz = 0;
		fo(i,0,m) f[i] = 0;
		if(A == 1)
		{
			f[0] = 1;
			fo(i,1,n)
			{
				int l = 0;
				if(s[i] == 49) l = k;
				if(bz == 0)
				{
					fo(j,0,m) f[j] = a[i][j];
					bz = 1;continue;
				}
				fo(j,l,m) g[j] = a[i][j];
				fo(j,0,m) t[j] = f[j],f[j] = 0;
				fo(j,0,m)
				{
					if(g[j] == 0) continue;
					fo(j1,0,m - j) f[j + j1] = (f[j + j1] + 1ll * g[j] * t[j1]) % p;
				}
			}
		}
		else
		{
			int S = 0;
			fd(i,n,1) S = S << 1 | (49 - s[i]);
			fo(i,0,m) f[i] = F[S][i];
			if(S) bz = 1;
			fo(i,1,n)
			{
				if(s[i] == 48) continue;
				if(bz == 0)
				{
					fo(j,k,m) f[j] = a[i][j];
					bz = 1;continue;
				}
				fo(j,0,N - 1) g[j] = 0;
				fo(j,k,m) g[j] = a[i][j];
				if(m <= 200)
				{
					fo(j,0,m) t[j] = f[j],f[j] = 0;
					fo(j,0,m)
					{
						if(g[j] == 0) continue;
						fo(j1,0,m - j) f[j + j1] = (f[j + j1] + 1ll * g[j] * t[j1]) % p;
					}
				}
				else M(f);
			}
		}
		int ans = 0;
		fo(i,0,m) inc(ans,f[i]);
		pr(ans);
	}
	fwrite(ob,1,bo + 1,stdout);
	return 0;
}