hdu 3046 Pleasant sheep and big big wolf 网络流
原图中相邻点两两连边,容量为1,源点连接狼的节点,容量为INF,羊的节点连接汇点,容量为INF,这样求最小割就可以了。
#include <cstdio> #include <cstring> #include <vector> #include <queue> using namespace std; #define maxn 50000 #define INF 100000 struct Edge { int from, to, cap, flow; }; int s, t; vector<Edge> edges; // 边数的两倍 vector<int> G[maxn]; // 邻接表,G[i][j]表示结点i的第j条边在e数组中的序号 bool vis[maxn]; // BFS使用 int d[maxn]; // 从起点到i的距离 int cur[maxn]; // 当前弧指针 int map[210][210]; int sum[210][210]; int min(int a,int b) { if(a<b) return a; else return b; } void AddEdge(int from, int to, int cap) { int len; Edge temp; temp.from=from;temp.to=to;temp.cap=cap;temp.flow=0; edges.push_back(temp); temp.from=to;temp.to=from;temp.cap=0;temp.flow=0; edges.push_back(temp); len = edges.size(); G[from].push_back(len-2); G[to].push_back(len-1); } bool BFS() { memset(vis, 0, sizeof(vis)); queue<int> Q; Q.push(s); vis[s] = 1; d[s] = 0; 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) { e.flow += f; edges[G[x][i]^1].flow -= f; flow += f; a -= f; if(a == 0) break; } } return flow; } int Maxflow() { int flow = 0; while(BFS()) { memset(cur, 0, sizeof(cur)); flow += DFS(s, INF); } return flow; } int main() { int row,col; int i,j; int cas=0; while(scanf("%d%d",&row,&col)!=EOF) { cas++; int tot=0; memset(map,0,sizeof(0)); memset(sum,0,sizeof(0)); s=0;t=row*col+1; for(i=0;i<=t+10;i++) G[i].clear(); for(i=1;i<=row;i++) for(j=1;j<=col;j++) { tot++; sum[i][j]=tot; } for(i=1;i<=row;i++) for(j=1;j<=col;j++) { scanf("%d",&map[i][j]); if(j+1<=col) { AddEdge(sum[i][j],sum[i][j+1],1); AddEdge(sum[i][j+1],sum[i][j],1); } if(i+1<=row) { AddEdge(sum[i][j],sum[i+1][j],1); AddEdge(sum[i+1][j],sum[i][j],1); } if(map[i][j]==1) AddEdge(sum[i][j],t,INF); else if(map[i][j]==2) AddEdge(s,sum[i][j],INF); } printf("Case %d:\n",cas); printf("%d\n",Maxflow()); } }