洛谷 P1462 通往奥格瑞玛的道路 二分 最短路
#include<cstdio> #include<queue> #include<cstring> #include<algorithm> using namespace std; const long long INF=214748364666; const int N=10000+2; const int maxn=50000+3; queue<int>Q; long long d[N]; int inq[N]; int cost[N],A[N]; int head[N],to[maxn<<1],nex[maxn<<1],dis[maxn<<1]; int cnt,n,m,b,s,e,diff; void add_edge(int u,int v,int c) { nex[++cnt]=head[u],head[u]=cnt; to[cnt]=v,dis[cnt]=c; } void spfa() { for(int i=1;i<=n;++i)d[i]=INF; if(cost[s]>diff)return; d[s]=0;inq[s]=1;Q.push(s); while(!Q.empty()) { int u=Q.front();Q.pop();inq[u]=0; for(int v=head[u];v;v=nex[v]) { if(d[u]+dis[v]<d[to[v]]&&cost[to[v]]<=diff) { d[to[v]]=d[u]+dis[v]; if(!inq[to[v]]) { Q.push(to[v]); inq[to[v]]=1; } } } } } int check(int t) { diff=A[t]; spfa(); if(d[e]==INF||d[e]>b)return 0; return 1; } int main() { //freopen("in.txt","r",stdin); scanf("%d%d%d",&n,&m,&b); s=1,e=n; for(int i=1;i<=n;++i) { scanf("%d",&cost[i]); A[i]=cost[i]; } sort(A+1,A+1+n); for(int i=1;i<=m;++i) { int a,b,c; scanf("%d%d%d",&a,&b,&c); if(a==b)continue; add_edge(a,b,c); add_edge(b,a,c); } int L=1,R=n,ans=-1; while(L<=R) { int mid=(L+R)/2; if(check(mid))ans=mid,R=mid-1; else L=mid+1; } if(ans==-1)printf("AFK"); else printf("%d",A[ans]); return 0; }
Code: