#include<iostream>
#include<cstdio>
#include<algorithm>
#include<string.h>
#include<queue>
#include<vector>
#include<map>
#include<bitset>
#include<set>
#include<cmath>
#include<ctime>
#include<random>
#define vi vector<int>
#define pb push_back
#define fi first
#define se second
#define mp make_pair
#define bc(x) __builtin_popcount(x)
#define re register
#define il inline
#define pii pair<int,int>
#define pil pair<int,long long>
#define pll pair<long long,long long>
#define mem0(x) memset(x,0,sizeof(x))
#define mem0x3f(x) memset(x,0x3f,sizeof(x))
#define dbg(x) cerr<<"In Line "<< __LINE__<<" the "<<#x<<" = "<<x<<'\n';
#define dpi(x,y) cerr<<"In Line "<<__LINE__<<" the "<<#x<<" = "<<x<<" ; "<<"the "<<#y<<" = "<<y<<'\n';
// #pragma GCC optimize(3)
//#define int long long
typedef long long ll;
typedef unsigned long long ull;
using namespace std;
namespace IO_BUFF{
	mt19937 rnd(time(0)^(ll)(new char));
	int rend(int x){
		return rnd()%x+1;
	}
	void rendom_shuffle(int *a,int len){
		shuffle(a+1,a+len+1,rnd);
	}
	const int BS=(1<<24)+5;char Buffer[BS],*HD,*TL;
	inline int gc(){
	    if(HD==TL) TL=(HD=Buffer)+fread(Buffer,1,BS,stdin);
	    return (HD==TL)?EOF:*HD++;
	}
	inline int inn(){
	    int x,ch,s=1;while((ch=gc())<'0'||ch>'9')if(ch=='-')s=-1;x=ch^'0';
	    while((ch=gc())>='0'&&ch<='9') x=(x<<1)+(x<<3)+(ch^'0');return x*s;
	}
	char ssss[19999999],tttt[20];int ssl,ttl;
    inline int print(int x)
    {
        if(x<0)ssss[++ssl]='-',x=(-x);
		if(!x) ssss[++ssl]='0';for(ttl=0;x;x/=10) tttt[++ttl]=char(x%10+'0');
        for(;ttl;ttl--) ssss[++ssl]=tttt[ttl];return ssss[++ssl]='\n';
    }
	inline int Flush(){return fwrite(ssss+1,sizeof(char),ssl,stdout),ssl=0,0;}
	int read(){
		char c=getchar();int x=1;int s=0;
		while(c<'0' || c>'9'){if(c=='-')x=-1;c=getchar();}
		while(c>='0' && c<='9'){
			s=s*10+c-'0';c=getchar();
		}
		return s*x;
	}
}using namespace IO_BUFF;
namespace CFConTest{
	const int mod=998244353;
	inline int add(const int &x,const int &y){
		return (x+y>=mod?x+y-mod:x+y);
	}
	inline int del(const int &x,const int &y){
		return (x-y<0?x-y+mod:x-y);
	}
	int ksm(int x,int k){
		int base=1;
		while(k){
			if(k&1)base=1ll*base*x%mod;
			k>>=1;
			x=1ll*x*x%mod;
		}
		return base;
	}
};
using namespace CFConTest;
const int N=13;
const int M=12;
int n,m,x,y,aa,bb;
int p[N][N];
int f[N][1<<M][1<<M];
int g[1<<M][1<<M];
int h[N][1<<M];
int w[1<<M][1<<M];
int main(){
	#ifdef newbiewzs
		freopen("data.in","r",stdin);
	#else
	#endif
	n=read();m=read();
	for(int i=1;i<=n;i++){
		for(int k=1;k<=n;k++){
			if(i==k)continue;
			x=read();y=read();aa=read();bb=read();
			p[x][y]=1ll*aa*ksm(bb,mod-2)%mod;
		}
	}
	int S=(1<<n)-1;
	for(int i=1;i<=n;i++){
		for(int k=0;k<(1<<n);k++){
			int tmp=1;
			for(int j=1;j<=n;j++){
				if(k&(1<<(j-1)))tmp=1ll*tmp*(1-p[j][i]+mod)%mod;
			}
			h[i][k]=tmp; // 一个都不连 
		}
	}
	w[0][0]=g[0][0]=1;
	for(int i=1;i<S;i++){
		int T=S^i;
		for(int k=T;k;k=(k-1)&T){
			w[i][k]=g[i][k]=1;
			for(int j=1;j<=n;j++){
				if(k&(1<<(j-1))){
					w[i][k]=1ll*w[i][k]*(1-h[j][i]+mod)%mod;
					g[i][k]=1ll*g[i][k]*h[j][i]%mod;
				}
			}
		}
		w[i][0]=g[i][0]=1;
	}
	for(int i=0;i<S;i++)g[0][i]=1;
	f[0][1][1]=1;
	
	for(int i=0;i<m;i++){
		for(int k=1;k<S;k++){
			for(int j=k;j;j=(j-1)&k){
				if(!f[i][k][j])continue;
				int T=S^k;
				for(int h=T;h;h=(h-1)&T){
					int KEL=k^j;
					f[i+1][k|h][h]=add(f[i+1][k|h][h],1ll*f[i][k][j]*w[j][h]%mod*g[KEL][h]%mod);
				}
			}
		}
	}
	int ans=0;
	for(int i=1;i<=m;i++){
		for(int k=S;k;k=(k-1)&S){
			ans=add(ans,f[i][S][k]);
		}
	}
	cout<<ans;
    #ifdef newbiewzs
		cerr<<'\n'<<"Time:"<<clock()<<" ms"<<'\n';
	#endif
	return 0;
}