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  • luogu3386 【模板】二分图匹配 匈牙利算法 hdu2063 过山车 dinic

    luogu
    匈牙利算法

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    using namespace std;
    int n, m, uu, vv, e, lnk[1005], ans;
    bool a[1005][1005], vis[1005];
    bool dfs(int u){
    	for(int i=1; i<=m; i++){
    		if(a[u][i] && !vis[i]){
    			vis[i] = true;
    			if(!lnk[i] || dfs(lnk[i])){
    				lnk[i] = u;
    				return true;
    			}
    		}
    	}
    	return false;
    }
    int main(){
    	cin>>n>>m>>e;
    	for(int i=1; i<=e; i++){
    		scanf("%d %d", &uu, &vv);
    		if(uu>n || vv>m)	continue;
    		a[uu][vv] = true;
    	}
    	for(int i=1; i<=n; i++){
    		memset(vis, 0, sizeof(vis));
    		if(dfs(i))	ans++;
    	}
    	cout<<ans<<endl;
    	return 0;
    }
    

    hdu
    建图最大流dinic

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <queue>
    using namespace std;
    struct Edge{
    	int too, nxt, val;
    }edge[4005];
    int k, m, n, ss, tt, cnt, hea[1005], uu, vv, maxFlow, lev[1005];
    const int oo=0x3f3f3f3f;
    queue<int> d;
    void add_edge(int fro, int too, int val){
    	edge[cnt].nxt = hea[fro];
    	edge[cnt].too = too;
    	edge[cnt].val = val;
    	hea[fro] = cnt++;
    }
    bool bfs(){
    	memset(lev, 0, sizeof(lev));
    	d.push(ss);
    	lev[ss] = 1;
    	while(!d.empty()){
    		int x=d.front();
    		d.pop();
    		for(int i=hea[x]; i!=-1; i=edge[i].nxt){
    			int t=edge[i].too;
    			if(!lev[t] && edge[i].val>0){
    				lev[t] = lev[x] + 1;
    				d.push(t);
    			}
    		}
    	}
    	return lev[tt]!=0;
    }
    int dfs(int x, int lim){
    	if(x==tt)	return lim;
    	int addFlow=0;
    	for(int i=hea[x]; i!=-1 && addFlow<lim; i=edge[i].nxt){
    		int t=edge[i].too;
    		if(lev[t]==lev[x]+1 && edge[i].val>0){
    			int tmp=dfs(t, min(lim-addFlow, edge[i].val));
    			edge[i].val -= tmp;
    			edge[i^1].val += tmp;
    			addFlow += tmp;
    		}
    	}
    	return addFlow;
    }
    void dinic(){
    	while(bfs())	maxFlow += dfs(ss, oo);
    }
    int main(){
    	while(scanf("%d", &k)!=EOF){
    		if(!k)	break;
    		scanf("%d %d", &m, &n);
    		ss = 0; tt = m + n + 1;
    		memset(hea, -1, sizeof(hea));
    		cnt = maxFlow = 0;
    		for(int i=1; i<=k; i++){
    			scanf("%d %d", &uu, &vv);
    			add_edge(uu, vv+m, 1);
    			add_edge(vv+m, uu, 0);
    		}
    		for(int i=1; i<=m; i++){
    			add_edge(ss, i, 1);
    			add_edge(i, ss, 0);
    		}
    		for(int i=m+1; i<=m+n; i++){
    			add_edge(i, tt, 1);
    			add_edge(tt, i, 0);
    		}
    		dinic();
    		printf("%d
    ", maxFlow);
    	}
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/poorpool/p/8082464.html
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