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  • HDU 1533 最小费用最大流(模板)

    http://acm.hdu.edu.cn/showproblem.php?pid=1533

    这道题直接用了模板

    题意:要构建一个二分图,家对应人,连线的权值就是最短距离,求最小费用

    要注意void init(int n) 这个函数一定要写

    一开始忘记写这个WA了好几发

    还有这个题很容易T掉,赋值建图要简化,一开始构建成网络流那种图一直T

    #include <stdio.h>
    #include <string.h>
    #include <iostream>
    #include <algorithm>
    #include <vector>
    #include <queue>
    #include <set>
    #include <map>
    #include <string>
    #include <math.h>
    #include <stdlib.h>
    #include <time.h>
    #define oo 0x13131313
    using namespace std;
    const int INF = 0x3f3f3f3f;
    const int MAXN=400;
    const int MAXM=200000;
    struct Edge
    {
        int to,next,cap,flow,cost;
    } edge[MAXM];
    int head[MAXN],tol;
    int pre[MAXN],dis[MAXN];
    bool vis[MAXN];
    int N;
    void init(int n)
    {
        N = n;
        tol = 0;
        memset(head,-1,sizeof(head));
    }
    void addedge(int u,int v,int cap,int cost)
    {
        edge[tol].to = v;
        edge[tol].cap = cap;
        edge[tol].cost = cost;
        edge[tol].flow = 0;
        edge[tol].next = head[u];
        head[u] = tol++;
        edge[tol].to = u;
        edge[tol].cap = 0;
        edge[tol].cost = -cost;
        edge[tol].flow = 0;
        edge[tol].next = head[v];
        head[v] = tol++;
    }
    bool spfa(int s,int t)
    {
        queue<int>q;
        for(int i = 0; i < N; i++)
        {
            dis[i] = INF;
            vis[i] = false;
            pre[i] = -1;
        }
        dis[s] = 0;
        vis[s] = true;
        q.push(s);
        while(!q.empty())
        {
            int u = q.front();
            q.pop();
            vis[u] = false;
            for(int i = head[u]; i != -1; i = edge[i].next)
            {
                int v = edge[i].to;
                if(edge[i].cap > edge[i].flow &&
                        dis[v] > dis[u] +edge[i].cost)
                {
                    dis[v] = dis[u] + edge[i].cost;
                    pre[v] = i;
                    if(!vis[v])
                    {
                        vis[v] = true;
                        q.push(v);
                    }
                }
            }
        }
        if(pre[t] == -1)return false;
        else return true;
    }
    int minCostMaxflow(int s,int t,int &cost)
    {
        int flow = 0;
        cost = 0;
        while(spfa(s,t))
        {
            int Min = INF;
            for(int i = pre[t]; i != -1 ; i = pre[edge[i^1].to])
            {
                if(Min > edge[i].cap - edge[i].flow)
                    Min = edge[i].cap - edge[i].flow;
            }
            for(int i = pre[t]; i != -1; i = pre[edge[i^1].to])
            {
                edge[i].flow += Min;
                edge[i^1].flow -= Min;
                cost += edge[i].cost*Min;
            }
            flow += Min;
        }
        return flow;
    }
    struct Home
    {
        int x,y;
    } H[MAXN],P[MAXN];
    int main()
    {
        int totH,totP;
        int NN,MM;
        while(cin>>NN>>MM&&NN&&MM)
        {
            getchar();
            init(MAXN);
            char c;
            totH=0;
            totP=0;
            for(int i=1; i<=NN; i++)
            {
                for(int j=1; j<=MM; j++)
                {
                    scanf("%c",&c);
                    if(c=='H') totH++,H[totH].x=i,H[totH].y=j;
                    else if(c=='m') totP++,P[totP].x=i,P[totP].y=j;
                }
                getchar();
            }
    
            int ANS=0;
            int NNN=totP+totH;
            for(int i=1; i<=totP; i++)
                for(int j=1; j<=totH; j++)
                {
                    int t=abs(P[i].x-H[j].x)+abs(P[i].y-H[j].y);
                    addedge(i,j+totP,1,t);
                }
            for(int i=1; i<=totP; i++)
                addedge(NNN+1,i,1,0);
            for(int i=totP+1; i<=NNN; i++)
                addedge(i,NNN+2,1,0);
            minCostMaxflow(NNN+1,NNN+2,ANS);
            printf("%d
    ",ANS);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/dzzy/p/5251413.html
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