M=1e9+7;
c[9],a[99];long n,i,j,k,t,T,f,p,q,s,S;
main(){
for(;~scanf("%d",a+n);n++);
for(;i++<1<<n/3*4;){
	f=1;
	T=s=p=q=0;
	for(j=0;j<n/3;j++){
		c[j]=t=i>>j*4&15;
		p+=t*a[3*j+3];
		q+=t*a[3*j+4];
		f&=t<=a[3*j+5];
		s+=t;
	}
	if(p==a[0]&&q==a[1]&&f)for(T=1,j=0;j<n/3;j++){
		for(k=0;k++<c[j];){
			T=(T*s--)%M;
			while(T%k)T+=M;
			T/=k;
		}
	}
	S+=T;
}
printf("%d",S%M);
}