洛谷P3244 [HNOI2015]落忆枫音

时间:2023-03-09 16:36:15
洛谷P3244 [HNOI2015]落忆枫音
#include<cstdio>
#include<cstdlib>
#include<algorithm>
#include<cstring>
#include<vector>
#include<queue>
#define MAXN 100000+10
#define MOD 1000000007
#define ll long long
#define pb push_back
using namespace std;
int n,m,s,t;
vector<int> G[MAXN];
int de[MAXN],De[MAXN];
ll inv[MAXN<<],f[MAXN],ans=;
void init(){
scanf("%d%d%d%d",&n,&m,&s,&t);
for(int i=;i<=m;i++){
int x,y;scanf("%d%d",&x,&y);
G[x].pb(y);
de[y]++,De[y]++;
}
De[t]++;
int i;
for(inv[]=,i=;i<=m;i++){
inv[i]=(MOD-MOD/i)*inv[MOD%i]%MOD;
}
for(i=;i<=n;i++){
(ans*=De[i])%=MOD;
}
f[t]=ans;
}
void TopoSort(){
queue<int> q;
for(int i=;i<=n;i++){
if(!de[i])q.push(i);
}
while(!q.empty()){
int x=q.front();q.pop();
(f[x]*=inv[De[x]])%=MOD;
for(int i=;i<G[x].size();i++){
int y=G[x][i];
(f[y]+=f[x])%=MOD;
if(!(--de[y])){
q.push(y);
}
}
}
}
void solve(){
if(t==){
printf("%lld",ans);
return;
}
TopoSort();
printf("%lld",(ans-f[s]+MOD)%MOD);
}
int main()
{
// freopen("data.in","r",stdin);
init();
solve();
return ;
}