先是最小费用流写~~超时,看了看别人的~~
两次最短路,把最短路上的边加入网络流图。再运行最大流。求最小割~~
#include <cstring> #include <cstdio> #include <queue> #define MAXN 2000 #define MAXM 200000 #define inf 0x3f3f3f3f using namespace std; struct node { int u,v,f; }; node e[MAXM*3]; int first[MAXN],next[MAXM*3]; int gap[MAXN],d[MAXN],curedge[MAXN],pre[MAXN]; int cc,inq[MAXN]; int d1[MAXN],d2[MAXN]; int first1[MAXN],first2[MAXN]; int next1[MAXM],next2[MAXM]; struct node1 { int u,v; int w; }; node1 e1[MAXM],e2[MAXM]; void spfa(int s,int t) { memset(inq,0,sizeof(inq)); memset(d1,inf,sizeof(d1)); memset(d2,inf,sizeof(d2)); queue<int> q; q.push(s); d1[s]=0; while(!q.empty()) { int u=q.front(); q.pop(); inq[u]=0; int i; for(i=first1[u];i!=-1;i=next1[i]) { int v=e1[i].v; if(d1[v]>d1[u]+e1[i].w) { d1[v]=d1[u]+e1[i].w; if(!inq[v]) { inq[v]=1; q.push(v); } } } } memset(inq,0,sizeof(inq)); q.push(t); d2[t]=0; while(!q.empty()) { int u=q.front(); q.pop(); inq[u]=0; int i; for(i=first2[u];i!=-1;i=next2[i]) { int v=e2[i].v; if(d2[v]>d2[u]+e2[i].w) { d2[v]=d2[u]+e2[i].w; if(!inq[v]) { inq[v]=1; q.push(v); } } } } } inline void add_edge(int u,int v,int f) { e[cc].u=u; e[cc].v=v; e[cc].f=f; next[cc]=first[u]; first[u]=cc; cc++; e[cc].u=v; e[cc].v=u; e[cc].f=0; next[cc]=first[v]; first[v]=cc; cc++; } int ISAP(int s,int t,int n) { int cur_flow,flow_ans=0,u,tmp,neck,i,v; memset(d,0,sizeof(d)); memset(gap,0,sizeof(gap)); memset(pre,-1,sizeof(pre)); for(i=1;i<=n;i++) curedge[i]=first[i]; gap[0]=n; u=s; while(d[s]<n) { if(u==t) { cur_flow=inf; for(i=s;i!=t;i=e[curedge[i]].v) { if(cur_flow>e[curedge[i]].f) { neck=i; cur_flow=e[curedge[i]].f; } } for(i=s;i!=t;i=e[curedge[i]].v) { tmp=curedge[i]; e[tmp].f-=cur_flow; e[tmp^1].f+=cur_flow; } flow_ans+=cur_flow; u=neck; } for(i=curedge[u];i!=-1;i=next[i]) { v=e[i].v; if(e[i].f&&d[u]==d[v]+1) break; } if(i!=-1) { curedge[u]=i; pre[v]=u; u=v; } else { if(0==--gap[d[u]]) break; curedge[u]=first[u]; for(tmp=n+5,i=first[u];i!=-1;i=next[i]) if(e[i].f) tmp=min(tmp,d[e[i].v]); d[u]=tmp+1; ++gap[d[u]]; if(u!=s) u=pre[u]; } } return flow_ans; } int main() { int t; scanf("%d",&t); while(t--) { memset(first,-1,sizeof(first)); memset(next,-1,sizeof(next)); cc=0; int n,m; scanf("%d%d",&n,&m); int i; memset(first1,-1,sizeof(first1)); memset(first2,-1,sizeof(first2)); memset(next1,-1,sizeof(next1)); memset(next2,-1,sizeof(next2)); for(i=0;i<m;i++) { int a,b,c; scanf("%d%d%d",&a,&b,&c); e1[i].u=a; e1[i].v=b; e1[i].w=c; next1[i]=first1[a]; first1[a]=i; e2[i].u=b; e2[i].v=a; e2[i].w=c; next2[i]=first2[b]; first2[b]=i; } int s,t; scanf("%d%d",&s,&t); spfa(s,t); for(i=0;i<m;i++) { int u=e1[i].u; int v=e1[i].v; if(d1[u]+d2[v]+e1[i].w==d1[t]) { add_edge(u,v,1); } } int res=ISAP(s,t,1000); printf("%d\n",res); } return 0; }