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| #include<cstdio> #include<cstring> #include<algorithm> #include<iostream> #include<queue> #include<map> #include<stack> #include<cmath> #include<set> #include<bitset> #include<complex> #include<cstdlib> #include<assert.h> #define inc(i,l,r) for(int i=l;i<=r;i++) #define dec(i,l,r) for(int i=l;i>=r;i--) #define link(x) for(edge *j=h[x];j;j=j->next) #define mem(a) memset(a,0,sizeof(a)) #define ll long long #define mid (x+y>>1) #define eps 1e-8 #define succ(x) (1<<(x)) #define lowbit(x) (x&(-x)) #define sqr(x) ((x)*(x)) #define NM 18 #define nm 20000005 using namespace std; const double pi=acos(-1); const ll inf=1e9+7; ll read(){ ll x=0,f=1;char ch=getchar(); while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();} while(isdigit(ch))x=x*10+ch-'0',ch=getchar(); return f*x; }
inline void reduce(ll&x){x+=x>>63&inf;} inline ll qpow(ll x,ll t){ ll s=1; for(;t;t>>=1,x=x*x%inf)if(t&1)s=s*x%inf; return s; } int n,tot,_x,_y; ll a[NM][NM]; struct P{int x,y;}; vector<P>vec[NM]; ll ans;
ll cal(){ ll s=1; int cnt=0; inc(i,1,n)inc(j,1,n)reduce(a[i][j]); inc(i,1,n)inc(j,i+1,n){ for(int x=i,y=j;a[y][i];swap(x,y)){ ll t=a[x][i]*qpow(a[y][i],inf-2)%inf; inc(k,i,n)reduce(a[x][k]-=t*a[y][k]%inf); } if(!a[i][i])swap(a[i],a[j]),cnt^=1; } inc(i,1,n)s=s*a[i][i]%inf; if(cnt)reduce(s=-s); return s; }
int main(){ n=read()-1;tot=succ(n)-1; inc(i,1,n){ int m=read(); while(m--){ _x=read();_y=read(); vec[i].push_back({_x,_y}); } } inc(i,0,tot){ mem(a); inc(j,1,n)if(i>>(j-1)&1)for(auto&k:vec[j]){ a[k.x][k.y]--;a[k.y][k.x]--; a[k.x][k.x]++;a[k.y][k.y]++; } if(__builtin_popcount(i^tot)&1)reduce(ans-=cal()); else reduce(ans+=cal()-inf); } printf("%lld\n",ans); return 0; }
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