#include using namespace std; #define REP(i,a,b) for(i=a;i'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(ll *x){int k,m=0;*x=0;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){*x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||k>'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(double *x){scanf("%lf",x);} int reader(char c[]){int i,s=0;for(;;){mygc(i);if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF) break;}c[s++]=i;for(;;){mygc(i);if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF) break;c[s++]=i;}c[s]='\0';return s;} template void reader(T *x, S *y){reader(x);reader(y);} template void reader(T *x, S *y, U *z){reader(x);reader(y);reader(z);} template void reader(T *x, S *y, U *z, V *w){reader(x);reader(y);reader(z);reader(w);} void writer(int x, char c){int s=0,m=0;char f[10];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(ll x, char c){int s=0,m=0;char f[20];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(double x, char c){printf("%.15f",x);mypc(c);} void writer(const char c[]){int i;for(i=0;c[i]!='\0';i++)mypc(c[i]);} void writer(const char x[], char c){int i;for(i=0;x[i]!='\0';i++)mypc(x[i]);mypc(c);} template void writerLn(T x){writer(x,'\n');} template void writerLn(T x, S y){writer(x,' ');writer(y,'\n');} template void writerLn(T x, S y, U z){writer(x,' ');writer(y,' ');writer(z,'\n');} template void writerArr(T x[], int n){int i;if(!n){mypc('\n');return;}rep(i,n-1)writer(x[i],' ');writer(x[n-1],'\n');} char memarr[17000000]; void *mem = memarr; #define MD 1000000007 int get_inv(ll a, int md){ll t=a,s=md,u=1,v=0,e;while(s){e=t/s;t-=e*s;u-=e*v;swap(t,s);swap(u,v);}if(u<0)u+=md;return u;} struct mint{ static unsigned md, W, R, Rinv, mdninv, RR; unsigned val; mint(){}mint(int a){val=mulR(a);}mint(unsigned a){val=mulR(a);}mint(ll a){val=mulR(a);}mint(ull a){val=mulR(a);} unsigned setmod(unsigned m){int i;unsigned t;W=32;md=m;R=(1ULL<>W);if(t>=md)t-=md;return t;}unsigned reduce(ull T){unsigned m=(unsigned)T*mdninv;unsigned t=(unsigned)((T+(ull)m*md)>>W);if(t>=md)t-=md;return t;} unsigned get(){return reduce(val);} mint&operator+=(mint a){val+=a.val;if(val>=md)val-=md;return*this;}mint&operator-=(mint a){if(val>=1;a*=a;}return r;} bool operator==(int a){return get()==a;} bool operator!=(int a){return get()!=a;} }; unsigned mint::md, mint::W, mint::R, mint::Rinv, mint::mdninv, mint::RR; mint operator+(int a, mint b){return mint(a)+=b;}mint operator-(int a, mint b){return mint(a)-=b;}mint operator*(int a, mint b){return mint(a)*=b;}mint operator/(int a, mint b){return mint(a)/=b;} mint operator+(ll a, mint b){return mint(a)+=b;}mint operator-(ll a, mint b){return mint(a)-=b;}mint operator*(ll a, mint b){return mint(a)*=b;}mint operator/(ll a, mint b){return mint(a)/=b;} mint mval[10000], minv[10000]; void mint_init(int md=MD, mint val[]=mval, int vals=10000, mint inv[]=minv, int invs=10000){int i;val[0].setmod(md);val[0].val=0;REP(i,1,vals){val[i].val=val[i-1].val+mint::R;if(val[i].val >=md)val[i].val-=md;}inv[1].val=1;REP(i,2,invs){inv[i].val=md-((ll)(md/i)*inv[md%i].val%md);}REP(i,1,invs)inv[i].val=(ull)inv[i].val*mint::R%md;} void unionInit(int d[],int s){int i;rep(i,s)d[i]=i;} int unionGet(int d[],int n){int t=n,k;while(d[t]!=t)t=d[t];while(d[n]!=n)k=d[n],d[n]=t,n=k;return n;} int unionConnect(int d[],int a,int b){a=unionGet(d,a);b=unionGet(d,b);if(a==b)return 0;d[a]=b;return 1;} template void sort(int N, T a[], void *mem = NULL){sort(a,a+N);} template void sort(int N, T1 a[], T2 b[], void *mem){int i;pair *r=(pair*)mem;rep(i,N)r[i].first=a[i],r[i].second=b[i];sort(r,r+N);rep(i,N)a[i]=r[i].first,b[i]=r[i].second;} template void sort(int N, T1 a[], T2 b[], T3 c[], void *mem){int i;pair > *r=(pair >*)mem;rep(i,N)r[i].first=a[i],r[i].second.first=b[i],r[i].second.second=c[i];sort(r,r+N);rep(i,N)a[i]=r[i].first,b[i]=r[i].second.first,c[i]=r[i].second.second;} template void sort(int N, T1 a[], T2 b[], T3 c[], T4 d[], void *mem){int i;pair,pair > *r=(pair,pair >*)mem;rep(i,N)r[i].first.first=a[i],r[i].first.second=b[i],r[i].second.first=c[i],r[i].second.second=d[i];sort(r,r+N);rep(i,N)a[i]=r[i].first.first,b[i]=r[i].first.second,c[i]=r[i].second.first,d[i]=r[i].second.second;} int N, M; int A[4100], B[4100]; int deg[4100], sdeg[4100]; int edge[4100][4100], tedge[4100][4100]; mint mat[4100][4100]; mint fact[4100]; int ind[4100], cnv[4100], val[4100]; mint lis[4100]; int sz; int main(){ int i, j, k, s; int cnt; mint res, t; mint_init(); fact[0] = mval[1]; REP(i,1,4001) fact[i] = fact[i-1] * mval[i]; reader(&N,&M); rep(i,M) reader(A+i,B+i), A[i]--, B[i]--; rep(i,M) deg[A[i]]--, deg[B[i]]++; cnt = 0; rep(i,N){ if(deg[i]==-1) cnt++; if(deg[i]<-1) cnt+=2; } if(cnt >= 2){ writerLn("0"); return 0; } rep(i,N) rep(j,N) edge[i][j] = 1; rep(i,M) edge[A[i]][B[i]] = 0; if(cnt==1){ rep(i,N) if(deg[i]==-1) break; rep(j,N) if(deg[j]== 1) break; edge[i][j]++; } for(;;){ rep(i,N){ rep(j,N) if(edge[i][j]) break; if(j==N){ N--; rep(j,N) edge[i][j] = edge[N][j]; rep(j,N) edge[j][i] = edge[j][N]; i = -1111; break; } } if(i==N) break; } if(N==0){ writerLn(1); return 0; } unionInit(ind, N); rep(i,N) rep(j,N) if(edge[i][j]) unionConnect(ind,i,j); rep(i,N) if(unionGet(ind,i)!=unionGet(ind,0)) break; if(i ",j,k,(int)mat[j][k]); mat[j][k] -= mat[i][k] * t; // printf("%d\n",(int)mat[j][k]); } } } // rep(i,N){ rep(j,N) printf("%d ",(int)mat[i][j]); puts(""); } puts(""); rep(i,s) res *= mat[i][i]; if(cnt==0){ k = N*N - M; res *= mint(k); } writerLn((int)res); return 0; }