POJ-1087 A Plug for UNIX

简单的网络流问题,就是建图麻烦一些

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<map>
using namespace std;
typedef long long ll;
const int N=500+10;
const int M=800+10; //都开大一点
const int INF=0x7f7f7f7f;
struct Edge
{
    int to,nxt,cap,flow;
}edge[M];
int tot,first[N];
void addedge(int u,int v,int w,int rw=0)
{
    edge[tot].to=v;edge[tot].cap=w;edge[tot].flow=0;
    edge[tot].nxt=first[u];first[u]=tot++;
    edge[tot].to=u;edge[tot].cap=rw;edge[tot].flow=0;
    edge[tot].nxt=first[v];first[v]=tot++;
}
void init()
{
    tot=0;
    memset(first,-1,sizeof(first));
}

int gap[N],dep[N],cur[N],pre[N];
int sap(int s,int e,int n)
{
    memset(gap,0,sizeof(gap));
    memset(dep,0,sizeof(dep));
    memcpy(cur,first,sizeof(first));
    int u=s;
    pre[u]=-1;
    gap[0]=n;
    int ans=0;
    while(dep[s]<n)
    {
        if(u==e)
        {
            int Min=INF;
            for(int i=pre[u];i!=-1;i=pre[edge[i^1].to])
                if(edge[i].cap-edge[i].flow<Min)
                    Min=edge[i].cap-edge[i].flow;
            for(int i=pre[u];i!=-1;i=pre[edge[i^1].to])
            {
                edge[i].flow+=Min;
                edge[i^1].flow-=Min;
            }
            ans+=Min;
            u=s;
            continue;
        }
        bool flag=false;
        int v;
        for(int i=cur[u];i!=-1;i=edge[i].nxt)
        {
            v=edge[i].to;
            if(edge[i].cap-edge[i].flow&&dep[v]+1==dep[u])
            {
                flag=true;
                cur[u]=pre[v]=i;
                break;
            }
        }
        if(flag)
        {
            u=v;
            continue;
        }
        gap[dep[u]]--;
        if(!gap[dep[u]]) return ans;
        int Min=n;
        for(int i=first[u];i!=-1;i=edge[i].nxt)
            if(edge[i].cap-edge[i].flow&&dep[edge[i].to]<Min)
            {
                Min=dep[edge[i].to];
                cur[u]=i;
            }
        dep[u]=Min+1;
        gap[dep[u]]++;
        if(u!=s) u=edge[pre[u]^1].to;
    }
    return ans;
}
int num[N];
int main()
{
    int n,m,k;
    string s,s0;
    map<string,int> mm;
    int cnt=1;
    init();
    memset(num,0,sizeof(num));
    scanf("%d",&n);
    for(int i=0;i<n;i++)
    {
        cin>>s;
        if(!mm[s]) mm[s]=cnt++;
        num[mm[s]]++;
    }
    for(int i=1;i<cnt;i++)
        addedge(0,i,num[i]);
    scanf("%d",&m);
    n=cnt-1;
    int e=n+m+1;
    for(int i=0;i<m;i++)
    {
        cin>>s;
        cin>>s;
        if(!mm[s]) //随时可能出现新的插座,要新加编号
        {
            mm[s]=m+1+cnt++;
        }
        addedge(mm[s],n+i+1,1);
        addedge(n+i+1,e,1);
    }
    scanf("%d",&k);
    for(int i=0;i<k;i++)
    {
        cin>>s0>>s;
        if(!mm[s0]) 
        {
            mm[s0]=m+1+cnt++;
        }
        if(!mm[s]) 
        {
            mm[s]=m+1+cnt++;
        }
        addedge(mm[s],mm[s0],INF);
    }
    printf("%d\n",m-sap(0,e,m+1+cnt));
    return 0;
}

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转载自blog.csdn.net/wl16wzl/article/details/83115799