#include<cstdio> #include<cstring> #include<queue> using namespace std; const int INF = 0x3f3f3f3f; struct node{ int to,next,flow; }e[1000010]; int a[100010],b[100010],d[10010]; int S,T; int head[10010],cnt,cur[100010],num[1010][1010]; void add_edge(int from,int to,int flow){ e[cnt].to = to; e[cnt].flow = flow; e[cnt].next = head[from]; head[from] = cnt++; e[cnt].to = from; e[cnt].flow = 0; e[cnt].next = head[to]; head[to] = cnt++; } int bfs(){ memset(d,0,sizeof(d)); queue<int>q; q.push(S); d[S] = 1; while(!q.empty()){ int u = q.front(); q.pop(); for(int i = head[u]; i != -1; i = e[i].next){ int v = e[i].to; if(!d[v] && e[i].flow){ d[v] = d[u] + 1; if(v == T) return 1; q.push(v); } } } return 0; } int dfs(int u,int flow){ int cost = 0; if(u == T) return flow; for(int &i = cur[u]; i != -1; i = e[i].next){ int v = e[i].to; if(d[v] == d[u] + 1 && e[i].flow){ int t =dfs(v,min(flow - cost,e[i].flow)); if(t){ e[i].flow -= t; e[i^1].flow += t; cost += t; if(flow == cost) break; } } } return cost; } int Dinic(){ int res = 0; while(bfs()){ for(int i = 0; i <= T; i++) cur[i] = head[i]; res += dfs(S,INF); } return res; } int main(){ int t,tt=1,n,m,a,b; scanf("%d",&t); while(t--){ scanf("%d%d",&n,&m); memset(head,-1,sizeof(head)); memset(num,0,sizeof(num)); cnt = 0; S = 0; T = n + m; for(int i = 1; i <= n; i++){ scanf("%d",&a); for(int j = 1; j <= a; j++){ scanf("%d",&b); num[i][b]++; } } for(int i = 1; i <= m; i++){ add_edge(S,i,num[1][i]); add_edge(i,T,1); } for(int i = 2; i <= n; i++){ for(int j = 1; j <= m; j++){ if(num[i][j] > 1) add_edge(m + i - 1,j, num[i][j] - 1); if(!num[i][j]) add_edge(j, m + i - 1,1); } } printf("Case #%d: %d\n",tt++,Dinic()); } return 0; }
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