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  • POJ3762 The Bonus Salary! (费用流+离散化)

    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <string>
    #include <queue>
    #include <cmath>
    #include <vector>
    #include <algorithm>
    #include <limits.h>
    using namespace std;
    #define inf 1e8
    #define maxn 4005
    #define maxm 100005
    int head[maxn],eid;
    int dis[maxn];
    bool vis[maxn];
    int a[maxn];
    int pre[maxn];
    struct node
    {
        int u,v,cap,next,cost;
    }eg[maxm];
    void add(int u,int v,int cap,int cost)
    {
        eg[eid].u=u;
        eg[eid].v=v;
        eg[eid].cap=cap;
        eg[eid].next=head[u];
        eg[eid].cost=cost;
        head[u]=eid++;
        eg[eid].u=v;
        eg[eid].v=u;
        eg[eid].cap=0;
        eg[eid].next=head[v];
        eg[eid].cost=-cost;
        head[v]=eid++;
    }
    bool spfa(int s,int t,int &flow,int &cost)
    {
        memset(vis,false,sizeof(vis));
        for(int i=0;i<maxn;i++)
            dis[i]=inf;
        dis[s]=0;
        vis[s]=true;
        pre[s]=0;
        a[s]=inf;
        queue<int>q;
        q.push(s);
        while(!q.empty())
        {
            int u=q.front();
            q.pop();
            vis[u]=false;
            for(int i=head[u];i!=-1;i=eg[i].next)
            {
                if(eg[i].cap&&dis[eg[i].v]>dis[u]+eg[i].cost)
                {
                    dis[eg[i].v]=dis[u]+eg[i].cost;
                    pre[eg[i].v]=i;
                    a[eg[i].v]=min(a[u],eg[i].cap);
                    if(!vis[eg[i].v])
                    {
                        q.push(eg[i].v);
                        vis[eg[i].v]=true;
                    }
                }
            }
        }
        if(dis[t]==inf) return false;
        flow+=a[t];
        cost+=dis[t]*a[t];
        int u=t;
        while(u!=s)
        {
            eg[pre[u]].cap-=a[t];
            eg[pre[u]^1].cap+=a[t];
            u=eg[pre[u]].u;
        }
        return true;
    }
    int mincost(int s,int t)
    {
        int flow=0,cost=0;
        while(spfa(s,t,flow,cost));
        return cost;
    }
    void init()
    {
        memset(head,-1,sizeof(head));
        eid=0;
    }
    int t1[maxn],t2[maxn],t3[maxn*2],t4[maxn*2],v[maxn];
    int main()
    {
        //freopen("in.txt","r",stdin);
        int n,m,x,y,z;
        while(~scanf("%d%d",&n,&m))
        {
            init();
            for(int i=0;i<n;i++)
            {
                scanf("%2d:%2d:%2d",&x,&y,&z);
                t1[i]=x*10000+y*100+z;
                t3[i*2]=t1[i];
                scanf("%2d:%2d:%2d",&x,&y,&z);
                t2[i]=x*10000+y*100+z;
                t3[i*2+1]=t2[i];
                scanf("%d",&v[i]);
            }
            sort(t3,t3+n*2);
            int tot=1;
            for(int i=0;i<n*2;i++)
            {
                t4[tot++]=t3[i];
                while(i+1<n*2&&t3[i+1]==t3[i]) i++;
            }
            if(t4[tot-1]==t4[tot-2]) tot--;
            for(int i=0;i<n;i++)
            {
                int flag=0;
                for(int j=1;j<tot;j++)
                {
                    if(t1[i]==t4[j])
                    {
                        t1[i]=j;
                        flag++;
                    }
                    if(t2[i]==t4[j])
                    {
                        t2[i]=j;
                        flag++;
                    }
                    if(flag==2) break;
                }
            }
            for(int i=0;i<tot;i++)
                add(i,i+1,m,0);
            for(int i=0;i<n;i++)
                add(t1[i],t2[i],1,-v[i]);
            printf("%d
    ",-mincost(0,tot));
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/d-e-v-i-l/p/4853296.html
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