HDU 3488 Tour 费用流

来源：互联网发布：金和软件编辑：程序博客网时间：2024/06/05 07:08
//author: CHC//First Edit Time:2014-09-17 20:25//Last Edit Time:2014-09-19 10:49#include <iostream>#include <cstdio>#include <cstring>#include <cmath>#include <set>#include <vector>#include <map>#include <queue>#include <set>#include <algorithm>#include <limits.h>using namespace std;typedef long long LL;const int MAXN=1e+4;const int MAXM=1e+6;const int INF = INT_MAX;struct Edge{    int from,to,ci,cost,next;    Edge(){}    Edge(int _from,int _to,int _ci,int _cost,int _next):from(_from),to(_to),ci(_ci),cost(_cost),next(_next){}}e[MAXM];int head[MAXN],tot;int q[MAXM];int dis[MAXN],pre[MAXN],rec[MAXN],vis[MAXN];inline void init(){    memset(head,-1,sizeof(head));    tot=0;}inline void AddEdge1(int u,int v,int ci,int cost){    e[tot]=Edge(u,v,ci,cost,head[u]);    head[u]=tot++;    e[tot]=Edge(v,u,0,-cost,head[v]);    head[v]=tot++;}inline bool spfa(int S,int T,LL &cost,LL &flow){    int i,h=0,t=0;    for(i=0;i<=MAXN;i++){        dis[i]=INF;        vis[i]=false;    }    q[h]=S;    dis[S]=0;    vis[S]=true;    while(h<=t){        int u=q[h++];        vis[u]=false;        for(i=head[u];~i;i=e[i].next){            int v=e[i].to;            if(e[i].ci>0&&dis[v]>dis[u]+e[i].cost){                dis[v]=dis[u]+e[i].cost;                pre[v]=u;                rec[v]=i;                if(!vis[v]){                    vis[v]=1;                    q[++t]=v;                }            }        }    }    if(dis[T]==INF)return false;    int minn=INF;    for(i=T;i!=S;i=pre[i]){        if(e[rec[i]].ci<minn)            minn=e[rec[i]].ci;    }    for(i=T;i!=S;i=pre[i]){        //cost+=minn*e[rec[i]].cost;        e[rec[i]].ci-=minn;        e[rec[i]^1].ci+=minn;    }    cost+=dis[T]*minn;    flow+=minn;    return true;}inline void mincostmaxflow(int S,int T,LL &cost,LL &flow){    while(spfa(S,T,cost,flow));}int main(){    int n,m,t;    scanf("%d",&t);    while(t--){        scanf("%d%d",&n,&m);        init();        for(int i=0,x,y,v;i<m;i++){            scanf("%d%d%d",&x,&y,&v);            //while(v<=0);            //while(x<=0||x>200||y<=0||y>200);            AddEdge1((x<<1)|1,(y<<1),1,v);        }        for(int i=1;i<=n;i++){            //printf("%d %d\n",i<<1,(i<<1)|1);            //AddEdge1((i<<1),(i<<1)|1,1,0);            AddEdge1(0,(i<<1)|1,1,0);            AddEdge1((i<<1),1,1,0);        }        LL cost=0,flow=0;        mincostmaxflow(0,1,cost,flow);        //while(flow!=n);        printf("%I64d\n",cost);    }    //scanf(" ");    return 0;}
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