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最大流+拆点
#include<cstdio> #include<cstring> #include<string> #include<cmath> #include<vector> #include<queue> #include<algorithm> using namespace std; const int maxn = 2000 + 10; const int INF = 0x7FFFFFFF; struct Edge { int from, to, cap, flow; Edge(int u, int v, int c, int f) :from(u), to(v), cap(c), flow(f) {} }; vector<Edge>edges; vector<int>G[maxn]; bool vis[maxn]; int d[maxn]; int cur[maxn]; int n, m, s, t; void init() { for (int i = 0; i < maxn; i++) G[i].clear(); edges.clear(); } void AddEdge(int from, int to, int cap) { edges.push_back(Edge(from, to, cap, 0)); edges.push_back(Edge(to, from, 0, 0)); int w = edges.size(); G[from].push_back(w - 2); G[to].push_back(w - 1); } bool BFS() { memset(vis, 0, sizeof(vis)); queue<int>Q; Q.push(s); d[s] = 0; vis[s] = 1; while (!Q.empty()) { int x = Q.front(); Q.pop(); for (int i = 0; i<G[x].size(); i++) { Edge e = edges[G[x][i]]; if (!vis[e.to] && e.cap>e.flow) { vis[e.to] = 1; d[e.to] = d[x] + 1; Q.push(e.to); } } } return vis[t]; } int DFS(int x, int a) { if (x == t || a == 0) return a; int flow = 0, f; for (int &i = cur[x]; i<G[x].size(); i++) { Edge e = edges[G[x][i]]; if (d[x]+1 == d[e.to]&&(f=DFS(e.to,min(a,e.cap-e.flow)))>0) { edges[G[x][i]].flow+=f; edges[G[x][i] ^ 1].flow-=f; flow+=f; a-=f; if(a==0) break; } } if(!flow) d[x] = -1; return flow; } int dinic(int s, int t) { int flow = 0; while (BFS()) { memset(cur, 0, sizeof(cur)); flow += DFS(s, INF); } return flow; } int P,N; int Q[maxn],S[maxn][maxn],D[maxn][maxn]; struct ANS { int a,b,c; }; vector<ANS>A; bool ok(int a,int b) { for(int i=1; i<=P; i++) { if(S[b][i]==0&&D[a][i]==1) return false; if(S[b][i]==1&&D[a][i]==0) return false; } return true; } int main() { while(~scanf("%d%d",&P,&N)) { init(); s=0; t=N+N+1; for(int i=1; i<=N; i++) { scanf("%d",&Q[i]); for(int j=1; j<=P; j++) scanf("%d",&S[i][j]); for(int j=1; j<=P; j++) scanf("%d",&D[i][j]); } for(int i=1; i<=N; i++) AddEdge(i,i+N,Q[i]); for(int i=1; i<=N; i++) { int j; for(j=1; j<=P; j++) if(S[i][j]==1) break; if(j==P+1) AddEdge(s,i,INF); } for(int i=1; i<=N; i++) { int j; for(j=1; j<=P; j++) if(D[i][j]==0) break; if(j==P+1) AddEdge(i+N,t,INF); } for(int i=1; i<=N; i++) for(int j=1; j<=N; j++) if(ok(i,j)) AddEdge(i+N,j,INF); int Ans=dinic(s,t); printf("%d",Ans); A.clear(); for(int i=0; i<edges.size(); i=i+2) if(edges[i].from>=N+1&&edges[i].from<=N+N) if(edges[i].to>=1&&edges[i].to<=N) if(edges[i].flow!=0) { ANS e; e.a=edges[i].from-N; e.b=edges[i].to; e.c=edges[i].flow; A.push_back(e); } printf(" %d\n",A.size()); for(int i=0; i<A.size(); i++) printf("%d %d %d\n",A[i].a,A[i].b,A[i].c); } return 0; }
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原文地址:http://www.cnblogs.com/zufezzt/p/4758727.html