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二分,拓撲排序。
二分答案,然後進行拓撲排序檢查,若某次發現存在兩個或者兩個以上入度為$0$的節點,那麼不可行。
#pragma comment(linker, "/STACK:1024000000,1024000000")#include<cstdio>#include<cstring>#include<cmath>#include<algorithm>#include<vector>#include<map>#include<set>#include<queue>#include<stack>#include<iostream>using namespace std;typedef long long LL;const double pi=acos(-1.0),eps=1e-6;void File(){ freopen("D:\\in.txt","r",stdin); freopen("D:\\out.txt","w",stdout);}template <class T>inline void read(T &x){ char c=getchar(); x=0; while(!isdigit(c)) c=getchar(); while(isdigit(c)) {x=x*10+c-‘0‘; c=getchar();}}const int maxn=100010;int n,m,u[maxn],v[maxn];int h[maxn],sz,r[maxn];struct Edge{int u,v,nx;}e[maxn];void add(int a,int b){ e[sz].u=a; e[sz].v=b; e[sz].nx=h[a]; h[a]=sz++;}bool check(int x){ memset(h,-1,sizeof h); sz=0; memset(r,0,sizeof r); for(int i=1;i<=x;i++) add(u[i],v[i]),r[v[i]]++; queue<int>Q; int num=0; for(int i=1;i<=n;i++) if(r[i]==0) Q.push(i),num++; if(num!=1) return 0; while(!Q.empty()) { int top=Q.front(); Q.pop(); num=0; for(int i=h[top];i!=-1;i=e[i].nx) { r[e[i].v]--; if(r[e[i].v]==0) { num++; Q.push(e[i].v); } } if(num>1) return 0; } return 1;}int main(){ scanf("%d%d",&n,&m); for(int i=1;i<=m;i++) scanf("%d%d",&u[i],&v[i]); check(4); int L=1,R=m,ans=-1; while(L<=R) { int m=(L+R)/2; if(check(m)) ans=m,R=m-1; else L=m+1; } printf("%d\n",ans); return 0;}
CodeForces 645D Robot Rapping Results Report