The most short-circuit problem, I use spfa.
Obtain the shortest time of each vertex.
Then the length of each edge is (d [u] + d [v] + Len)/2 Len.
Find the longest time.
#include<cstdio>#include<cstring>#include<algorithm>#include<queue>#include<vector>using namespace std;int n,m;struct lx{ int v; double t;};vector<lx> g[501];double d[501];bool vis[501];void SPFA(){ for(int i=0;i<=n;i++) d[i]=100000000.0,vis[i]=0; queue<int>q; d[1]=0,vis[1]=1,q.push(1); while(!q.empty()) { int u=q.front();q.pop(); vis[u]=0; for(int j=0;j<g[u].size();j++) { int v=g[u][j].v; double t=g[u][j].t; if(d[v]>d[u]+t) { d[v]=d[u]+t; if(!vis[v]) { vis[v]=1; q.push(v); } } } } int p,p1,p2; double t, t1=-100001.0,t2=-100001.0; for(int i=1;i<=n;i++) { for(int j=0;j<g[i].size();j++) { t=(d[i]+d[g[i][j].v]+g[i][j].t)/2; if(t>t2) p1=i,p2=g[i][j].v,t2=t; } } for(int i=1;i<=n;i++) if(d[i]>t1)t1=d[i],p=i; if(t1>=t2) { printf("The last domino falls after %.1f seconds, at key domino %d.\n",t1,p); } else { printf("The last domino falls after %.1f seconds, between key dominoes %d and %d.\n",t2,p1,p2); }}int main(){ int cot=1; while(scanf("%d%d",&n,&m)!=EOF) { if(n==0&&m==0)return 0; for(int i=0;i<=n;i++) g[i].clear(); for(int i=0;i<m;i++) { int u,v; lx now; scanf("%d%d%lf",&u,&v,&now.t); now.v=v; g[u].push_back(now); now.v=u; g[v].push_back(now); } printf("System #%d\n",cot++); SPFA(); printf("\n"); } return 0;}