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  • SXCPC2018 nucoj1999 占领城市

    pic

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <queue>
    using namespace std;
    int n, m, e, a[305], w[305][305], uu, vv, ww, hea[805], cnt, ss, tt, maxFlow;
    int lev[805], cur[805];
    const int oo=0x3f3f3f3f;
    queue<int> d;
    struct Edge{
    	int too, nxt, val;
    }edge[200005];
    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++;
    }
    void addEdge(int fro, int too, int val){
    	add_edge(fro, too, val);
    	add_edge(too, fro, 0);
    }
    bool bfs(){
    	memset(lev, 0, sizeof(lev));
    	lev[ss] = 1;
    	d.push(ss);
    	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=cur[x]; i!=-1; 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;
                if(addFlow==lim)    break;
            }
        }
        return addFlow;
    }
    void dinic(){
    	while(bfs()){
    		for(int i=ss; i<=tt; i++)
    			cur[i] = hea[i];
    		maxFlow += dfs(ss, oo);
    	}
    }
    bool chk(int lim){
    	memset(hea, -1, sizeof(hea));
    	ss = 0; tt = n + m + 1;
    	cnt = 0;
    	for(int i=1; i<=n; i++){
    		addEdge(ss, i, 1);
    		for(int j=1; j<=m; j++)
    			if(w[a[i]][j]<=lim)
    				addEdge(i, n+j, 1);
    	}
    	for(int i=1; i<=m; i++)
    		addEdge(n+i, tt, 1);
    	maxFlow = 0;
    	dinic();
    	if(maxFlow!=min(n,m))	return false;
    	return true;
    }
    int main(){
    	cin>>n>>m>>e;
    	memset(w, 0x3f, sizeof(w));
    	for(int i=1; i<=n; i++)
    		scanf("%d", &a[i]);
    	for(int i=1; i<=m; i++)
    		w[i][i] = 0;
    	for(int i=1; i<=e; i++){
    		scanf("%d %d %d", &uu, &vv, &ww);
    		w[uu][vv] = w[vv][uu] = min(w[uu][vv], ww);
    	}
    	for(int k=1; k<=m; k++)
    		for(int i=1; i<=m; i++)
    			for(int j=1; j<=m; j++)
    				w[i][j] = min(w[i][j], w[i][k]+w[k][j]);
    	int l=0, r=258262, mid, re;
    	while(l<=r){
    		mid = (l + r) >> 1;
    		if(chk(mid))	re = mid, r = mid - 1;
    		else	l = mid + 1;
    	}
    	cout<<re<<endl;
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/poorpool/p/9004543.html
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