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  • 洛谷P3381 最小费用最大流

    费用流板子

    还是一道板子题。。先练练手

    #include <bits/stdc++.h>
    #define INF 0x3f3f3f3f
    #define full(a, b) memset(a, b, sizeof a)
    using namespace std;
    typedef long long ll;
    inline int lowbit(int x){ return x & (-x); }
    inline int read(){
        int X = 0, w = 0; char ch = 0;
        while(!isdigit(ch)) { w |= ch == '-'; ch = getchar(); }
        while(isdigit(ch)) X = (X << 3) + (X << 1) + (ch ^ 48), ch = getchar();
        return w ? -X : X;
    }
    inline int gcd(int a, int b){ return a % b ? gcd(b, a % b) : b; }
    inline int lcm(int a, int b){ return a / gcd(a, b) * b; }
    template<typename T>
    inline T max(T x, T y, T z){ return max(max(x, y), z); }
    template<typename T>
    inline T min(T x, T y, T z){ return min(min(x, y), z); }
    template<typename A, typename B, typename C>
    inline A fpow(A x, B p, C lyd){
        A ans = 1;
        for(; p; p >>= 1, x = 1LL * x * x % lyd)if(p & 1)ans = 1LL * x * ans % lyd;
        return ans;
    }
    const int N = 5005;
    const int M = 50005;
    int n, m, s, t, head[N], cnt, inq[N], pre[N], incf[N], dist[N], ans, mf;
    struct Edge { int v, next, f, cost; } edge[M<<1];
    
    void addEdge(int a, int b, int f, int cost){
        edge[cnt].v = b, edge[cnt].f = f, edge[cnt].cost = cost, edge[cnt].next = head[a], head[a] = cnt ++;
        edge[cnt].v = a, edge[cnt].f = 0, edge[cnt].cost = -cost, edge[cnt].next = head[b], head[b] = cnt ++;
    }
    
    bool spfa(){
        full(dist, INF), full(inq, false);
        full(pre, 0), full(incf, INF);
        queue<int> q;
        q.push(s);
        dist[s] = 0, inq[s] = true;
        while(!q.empty()){
            int cur = q.front(); q.pop();
            inq[cur] = false;
            for(int i = head[cur]; i != -1; i = edge[i].next){
                int u = edge[i].v;
                if(edge[i].f > 0 && dist[u] > dist[cur] + edge[i].cost){
                    dist[u] = dist[cur] + edge[i].cost;
                    pre[u] = i, incf[u] = min(incf[cur], edge[i].f);
                    if(!inq[u]) q.push(u), inq[u] = true;
                }
            }
        }
        return dist[t] != INF;
    }
    
    void mcmf(){
        while(spfa()){
            int cur = t;
            while(cur != s){
                int i = pre[cur];
                edge[i].f -= incf[t], edge[i^1].f += incf[t];
                cur = edge[i^1].v;
            }
            mf += incf[t];
            ans += dist[t] * incf[t];
        }
    }
    
    int main(){
    
        full(head, -1), cnt = 2;
        n = read(), m = read(), s = read(), t = read();
        for(int i = 0; i < m; i ++){
            int u = read(), v = read(), w = read(), c = read();
            addEdge(u, v, w, c);
        }
        mcmf();
        printf("%d %d
    ", mf, ans);
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/onionQAQ/p/10663025.html
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