题意:
2 1 1 2 (0,1)20 (1,0)10 (0)15 (1)20
2 1 1 2 表示 共有2个节点,生产能量的点1个,消耗能量的点1个, 传递能量的通道2条;(0,1)20 (1,0)10 代表(起点,终点)最大传递的能量 (0)15 (产生能量的点)产生的最大能量(1)20 (消费能量的点)消费的最大能量 初学网络流,我想从基础练起;就先用EK算法写一遍 这道题看似很难,但其实只要加一个源点以及汇点,让所有的产生能量的点指向源点,让所有的消费能量的点指向汇点;
#include<iostream> #include<algorithm> #include<cstdio> #include<cstring> #include<queue> using namespace std; #define N 110 #define INF 0x3f3f3f3f #define Min(a, b) a<b?a:b int G[N][N], pre[N]; int EK(int s, int e); bool BFS(int s, int e); int main() { int point, source, dest, edge; while(scanf("%d%d%d%d", &point, &source, &dest, &edge)!=EOF) { int a, b, flow, in, inflow, out, outflow; char ch; memset(G, 0, sizeof(G)); for(int i=0; i<edge; i++) { //scanf("(%d,%d)%d", &a, &b, &flow); cin>>ch>>a>>ch>>b>>ch>>flow; G[a+1][b+1]+=flow; } for(int i=0; i<source; i++) { //scanf("(%d)%d", &out, &outflow); cin>>ch>>out>>ch>>outflow; G[0][out+1]+=outflow; } for(int i=0; i<dest; i++) { //scanf("(%d)%d", &in, &inflow); cin>>ch>>in>>ch>>inflow; G[in+1][point+1]+=inflow; } int ans=EK(0, point+1); printf("%d\n", ans); } return 0; } int EK(int s, int e) { int maxflow=0; while(BFS(s, e)) { int minflow=INF; for(int i=e; i!=s; i=pre[i]) minflow=Min(minflow, G[pre[i]][i]); for(int j=e; j!=s; j=pre[j]) { G[pre[j]][j]-=minflow; G[j][pre[j]]+=minflow; } maxflow+=minflow; } return maxflow; } bool BFS(int s, int e) { memset(pre, -1, sizeof(pre)); queue<int>Q; Q.push(s); while(Q.size()) { int i=Q.front(); Q.pop(); if(i==e) return true; for(int j=0; j<=e; j++) { if(G[i][j]&&pre[j]==-1) { pre[j]=i; Q.push(j); } } } return false; }
时间: 2024-10-13 00:58:50