• 洛谷 [P3381] 最小费用最大流模版


    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <cmath>
    #include <cstdlib>
    #include <algorithm>
    #include <queue>
    using namespace std;
    const int MAXN = 5005;
    int init() {
    	int rv = 0, fh = 1;
    	char c = getchar();
    	while(c < '0' || c > '9') {
    		if(c == '-') fh = -1;
    		c = getchar();
    	}
    	while(c >= '0' && c <= '9') {
    		rv = (rv<<1) + (rv<<3) + c  - '0';
    		c = getchar();
    	}
    	return fh * rv;
    }
    int head[MAXN], nume, n, m, mincost, maxflow, ss, tt, delta, dis[MAXN], pre[MAXN];
    bool f[MAXN];
    struct edge{
    	int to, nxt, flow, cap, cost;
    }e[MAXN * 30];
    void adde(int from, int to, int cap, int cost) {
    	e[++nume].to = to;
    	e[nume].cap = cap;
    	e[nume].cost = cost;
    	e[nume].nxt = head[from];
    	head[from] = nume;
    }
    queue <int> q;
    bool SPFA() {
    	memset(dis, 0x3f, sizeof(dis));
    	memset(pre, 0, sizeof(pre));
    	q.push(ss); dis[ss] = 0; pre[ss] = 0; f[ss] = 1;
    	while(!q.empty()) {
    		int u = q.front(); q.pop();
    		f[u] = 0;
    		for(int i = head[u]; i; i = e[i].nxt) {
    			int v = e[i].to;
    			if(e[i].flow < e[i].cap && dis[v] > dis[u] + e[i].cost) {
    				dis[v] = dis[u] + e[i].cost;
    				pre[v] = i;
    				if(!f[v]) {
    					q.push(v); f[v] = 1;
    				}
    			}
    		}
    	}
    	return dis[tt] != 0x3f3f3f3f;
    }
    void MCMF() {
    	while(SPFA()) {
    		delta = 0x3f3f3f3f;
    		for(int i = pre[tt]; i; i = pre[e[(((i - 1) ^ 1) + 1)].to])
    			delta = min(delta, e[i].cap - e[i].flow);
    		for(int i = pre[tt]; i; i = pre[e[((i - 1) ^ 1) + 1].to]) {
    			e[i].flow += delta;
    			e[((i - 1) ^ 1) + 1].flow -= delta;
    			mincost += delta * e[i].cost;
    		}
    		maxflow += delta;
    	}
    }
    int main() {
    	n = init(); m = init(); ss = init(); tt = init();
    	for(int i = 1; i <= m; i++) {
    		int u = init(), v = init(), cap = init(), cost = init();
    		adde(u, v, cap, cost); adde(v, u, 0, -cost);
    	}
    	MCMF();
    	printf("%d %d
    ", maxflow, mincost);
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/Mr-WolframsMgcBox/p/8715667.html
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