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  • 最小费用最大流

    #include<bits/stdc++.h>
    using namespace std;
    typedef long long ll;
    namespace MCMF
    {
    const int MAXN = 10000, MAXM = 10000, INF = 0x7fffffff;
    int head[MAXN], cnt = 1;
    struct Edge
    {
        int to, w, c, next;
    } edges[30000000];
    inline void add(int from, int to, int w, int c)
    {
        edges[++cnt] = {to, w, c, head[from]};
        head[from] = cnt;
    }
    inline void addEdge(int from, int to, int w, int c)
    {
        add(from, to, w, c);
        add(to, from, 0, -c);
    }
    int s, t, dis[MAXN], cur[MAXN];
    bool inq[MAXN], vis[MAXN];
    queue<int> Q;
    bool SPFA()
    {
        while (!Q.empty())
            Q.pop();
        copy(head, head + MAXN, cur);
        fill(dis, dis + MAXN, INF);
        dis[s] = 0;
        Q.push(s);
        while (!Q.empty())
        {
            int p = Q.front();
            Q.pop();
            inq[p] = 0;
            for (int e = head[p]; e != 0; e = edges[e].next)
            {
                int to = edges[e].to, vol = edges[e].w;
                if (vol > 0 && dis[to] > dis[p] + edges[e].c)
                {
                    dis[to] = dis[p] + edges[e].c;
                    if (!inq[to])
                    {
                        Q.push(to);
                        inq[to] = 1;
                    }
                }
            }
        }
        return dis[t] != INF;
    }
    int dfs(int p = s, int flow = INF)
    {
        if (p == t)
            return flow;
        vis[p] = 1;
        int rmn = flow;
        for (int eg = cur[p]; eg && rmn; eg = edges[eg].next)
        {
            cur[p] = eg;
            int to = edges[eg].to, vol = edges[eg].w;
            if (vol > 0 && !vis[to] && dis[to] == dis[p] + edges[eg].c)
            {
                int c = dfs(to, min(vol, rmn));
                rmn -= c;
                edges[eg].w -= c;
                edges[eg ^ 1].w += c;
            }
        }
        vis[p] = 0;
        return flow - rmn;
    }
    int maxflow, mincost;
    inline void run(int s, int t)
    {
        MCMF::s = s, MCMF::t = t;
        while (SPFA())
        {
        //    cout<<1<<endl;
            int flow = dfs();
            maxflow += flow;
            mincost += dis[t] * flow;
        }
    }
    } // namespace MCMF
    ll a[100005];
    void solve(){
        ll n;
        cin>>n;
        for(int i=1;i<=n;i++){
            cin>>a[i];
            if(a[i]){
                MCMF::addEdge(5001,i,1,0);
            }
            else{
                MCMF::addEdge(i,5002,1,0);
            }
        } 
    //    cout<<1<<endl;
        for(int i=1;i<=n;i++){
            if(a[i]==1){
                for(int j=1;j<=n;j++){
                    if(a[j]==0){
                        MCMF::addEdge(i,j,1,abs(i-j));
                    }
                }
            }
        }
    //    cout<<1<<endl;
        MCMF::run(5001,5002);
        cout<<MCMF::mincost<<endl;
    }
    rush!
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  • 原文地址:https://www.cnblogs.com/LH2000/p/14805826.html
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