poj 2195 最小费用最大流

来源:互联网 发布:ipad 软件认证 编辑:程序博客网 时间:2024/05/22 06:22

题意:

   给出一张图,m代表人,H代表house,问所以的人走到house里的最小花费(每步花费1)

5 5HH..m...............mm..H
简单题目直接代码 :
#include<iostream>#include<algorithm>#include<memory.h>#include<queue>#include<cstdio>using namespace std;const int M=102;const int MAXN=10002;const int inf=0x3f3f;char map[M][M];int pre[MAXN];          // pre[v] = k:在增广路上,到达点v的边的编号为kint dis[MAXN];          // dis[u] = d:从起点s到点u的路径长为dint vis[MAXN];         // inq[u]:点u是否在队列中int path[MAXN];int head[MAXN];int dx[5]= {1,-1,0,0};int dy[5]= {0,0,-1,1};int n,m,NE,sink,tot,ans;struct node{    int u,v,cap,cost,next;} Edge[M*M*10];void addEdge(int u,int v,int cap,int cost){    Edge[NE].u=u;    Edge[NE].v=v;    Edge[NE].cap=cap;    Edge[NE].cost=cost;    Edge[NE].next=head[u];    head[u]=NE++;    Edge[NE].v=u;    Edge[NE].u=v;    Edge[NE].cap=0;    Edge[NE].cost=-cost;    Edge[NE].next=head[v];    head[v]=NE++;}int inmap(int x,int y){    if(x>=0&&x<n&&y>=0&&y<m) return 1;    return 0;}bool SPFA(int s,int t)                   //  源点为0,汇点为sink。{    int i;    memset(dis,inf,sizeof(dis));    memset(vis,0,sizeof(vis));    memset(pre,-1,sizeof(pre));    dis[s] = 0;    que[s] = 0;    queue<int>q;    q.push(s);    vis[s] =1;    while(!q.empty())        //  这里最好用队列,有广搜的意思,堆栈像深搜。    {        int u =q.front();        q.pop();        for(i = head[u]; i != -1; i = Edge[i].next)        {            int v = Edge[i].v;            if(Edge[i].cap >0&& dis[v] > dis[u] + Edge[i].cost)            {                dis[v] = dis[u] + Edge[i].cost;                pre[v] = u;                path[v]=i;                if(!vis[v])                {                    vis[v] =1;                    q.push(v);                }            }        }        vis[u] =0;    }    if(pre[t]==-1)        return false;    return true;}void end(int s,int t){    int u, p,sum = inf;    for(u=t; u!=0; u=pre[u])    {        sum = min(sum,Edge[path[u]].cap);    }    for(u = t; u != 0; u=pre[u])    {        Edge[path[u]].cap -= sum;        Edge[path[u]^1].cap += sum;        ans += sum*Edge[path[u]].cost;     //  cost记录的为单位流量费用,必须得乘以流量。    }}int main(){    int i,j,k,cas=1;    while(scanf("%d%d",&n,&m),(n||m))    {        NE=0,tot=0,ans=0;        sink=n*m+1;        memset(head,-1,sizeof(head));        for(i=0; i<n; i++)        {            for(j=0; j<m; j++)            {                cin>>map[i][j];            }        }        for(i=0; i<n; i++)        {            for(j=0; j<m; j++)            {                for(k=0; k<4; k++)                {                    int x=i+dx[k];                    int y=j+dy[k];                    if(inmap(x,y))                    {                        addEdge(j+1+i*m,x*m+y+1,n,1);                    }                }                if(map[i][j]=='m')                {                    addEdge(0,i*m+j+1,1,0);                }                else if(map[i][j]=='H')                {                    addEdge(i*m+j+1,sink,1,0);                }            }        }        while(SPFA(0,sink))        {            end(0,sink);        }        printf("%d\n",ans);    }    return 0;}/*2 2.mH.5 5HH..m...............mm..H7 8...H.......H.......H...Hmmm.mmmm...H.......H.......H....7 8................HHHHHHH.mmmmmm.......m..................*/

原创粉丝点击