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  • bzoj 1877 最小费用流

    思路:挺裸的费用流,拆拆点就好啦。

    #include<bits/stdc++.h>
    #define LL long long
    #define fi first
    #define se second
    #define mk make_pair
    #define PII pair<int, int>
    #define y1 skldjfskldjg
    #define y2 skldfjsklejg
    using namespace std;
    
    const int N = 500 + 7;
    const int M = 5e5 + 7;
    const int inf = 0x3f3f3f3f;
    const LL INF = 0x3f3f3f3f3f3f3f3f;
    const int mod = 1000000007;
    
    int n, m, edgenum, S, T, head[N], dist[N], pre[N];
    bool vis[N];
    
    struct Edge {
        int from, to, cap, flow, cost, next;
    } edge[M];
    
    void init() {
        edgenum = 0;
        memset(head, -1, sizeof(head));
    }
    
    void addEdge(int u, int v, int w, int c) {
        Edge E1 = {u, v, w, 0, c, head[u]};
        edge[edgenum] = E1;
        head[u] = edgenum++;
        Edge E2 = {v, u, 0, 0, -c, head[v]};
        edge[edgenum] = E2;
        head[v] = edgenum++;
    }
    
    bool SPFA(int s, int t) {
        queue<int> Q;
        memset(dist, INF, sizeof(dist));
        memset(vis, false, sizeof(vis));
        memset(pre, -1, sizeof(pre));
        dist[s] = 0; vis[s] = true; Q.push(s);
        while(!Q.empty()) {
            int u = Q.front(); Q.pop(); vis[u] = false;
            for(int i = head[u]; i != -1; i = edge[i].next) {
                Edge E = edge[i];
                if(dist[E.to] > dist[u] + E.cost && E.cap > E.flow) {
                    dist[E.to] = dist[u] + E.cost;
                    pre[E.to] = i;
                    if(!vis[E.to]) {
                        vis[E.to] = true;
                        Q.push(E.to);
                    }
                }
            }
        }
        return pre[t] != -1;
    }
    
    void MCMF(int s, int t, int &cost, int &flow) {
        flow = 0; cost = 0;
        while(SPFA(s, t)) {
            int Min = INF;
            for(int i = pre[t]; i != -1; i = pre[edge[i^1].to]) {
                Edge E = edge[i];
                Min = min(Min, E.cap - E.flow);
            }
            for(int i = pre[t]; i != -1; i = pre[edge[i^1].to]) {
                edge[i].flow += Min;
                edge[i^1].flow -= Min;
                cost += edge[i].cost * Min;
            }
            flow += Min;
        }
    }
    int main() {
        init();
        scanf("%d%d", &n, &m);
        S = 1, T = 2 * n;
        for(int i = 2; i < n; i++) addEdge(i, i + n, 1, 0);
        addEdge(1, 1 + n, inf, 0); addEdge(n, n + n, inf, 0);
        for(int i = 1; i <= m; i++) {
            int u, v, c;
            scanf("%d%d%d", &u, &v, &c);
            addEdge(u + n, v, 1, c);
        }
    
        int cost, flow;
        MCMF(S, T, cost, flow);
        printf("%d %d
    ", flow, cost);
        return 0;
    }
    
    /*
    */
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  • 原文地址:https://www.cnblogs.com/CJLHY/p/9589430.html
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