http://acm.hdu.edu.cn/showproblem.php?pid=1569
与Hdoj1565类似,但 这里是n*m的矩阵,而且n、m<=50,用邻接矩阵存会超内存,所以改为邻接表,但算法思想是一样滴。
#include<stdio.h> #include<string.h> #include<queue> #include<vector> #include<algorithm> using namespace std; const int INF = 0x3f3f3f3f; int map[55][55]; int a[2600],pre[2600],flow[2600][2600]; int m,n,sum; int s,t; int maxflow; struct node { int v,w; }; vector <struct node> edge[2600]; void build_graph() { for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { int it = (i-1)*m+j; if((i+j)%2 == 0) edge[s].push_back((struct node){it,map[i][j]}); else edge[it].push_back((struct node){t,map[i][j]}); } } for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { if((i+j)%2==0) { int it = (i-1)*m+j; if(j < m) { edge[it].push_back((struct node){it+1,INF}); edge[it+1].push_back((struct node){it,0}); } if(j > 1) { edge[it].push_back((struct node){it-1,INF}); edge[it-1].push_back((struct node){it,0}); } if(i > 1) { edge[it].push_back((struct node){it-m,INF}); edge[it-m].push_back((struct node){it,0}); } if(i < n) { edge[it].push_back((struct node){it+m,INF}); edge[it+m].push_back((struct node){it,0}); } } } } } void E_K() { queue<int>que; while(!que.empty()) que.pop(); memset(flow,0,sizeof(flow)); while(true) { memset(a,0,sizeof(a)); a[s] = INF; que.push(s); while(!que.empty()) { int u = que.front(); que.pop(); for(int i = 0; i < (int)edge[u].size(); i++) { int v = edge[u][i].v; int w = edge[u][i].w; if(!a[v] && flow[u][v] < w) { a[v] = min(a[u],w-flow[u][v]); que.push(v); pre[v] = u; } } } if(a[t] == 0) break; for(int u = t; u!=s; u = pre[u]) { flow[pre[u]][u] += a[t]; flow[u][pre[u]] -= a[t]; } maxflow += a[t]; } } int main() { while(~scanf("%d %d",&n,&m)) { sum = 0; for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { scanf("%d",&map[i][j]); sum += map[i][j]; } } s = 0; t = n*m+1; for(int i = 0; i <= t; i++) edge[i].clear(); build_graph(); maxflow = 0; E_K(); printf("%d\n",sum-maxflow); } return 0; }