HDU

///tooYang了, 直接每次枚举题目就重复计算很多次了,  预处理一下题目的枚举, 就可以A了

#include <iostream>
#include <cstdio>
#include <queue>
#include <cstring>
#include <cmath>
#include <vector>
#include <set>
#include <stack>
#include <algorithm>
//#include "myAlgorithm.h"

#define MAX 10005
#define OFFENCE (1e9 + 5)
#define INF (1e8 + 5)
#define eps 1e-9
#define Rep(s, e) for( int i = s; i <= e; i++)
#define Cep(e, s) for( int i = e; i >= s; i --)
#define PI acos(-1.0)
//#pragma comment(linker, "/STACK:36777216") ///传说中的外挂
using namespace std;
int N, M , K;
int p[MAX];
vector<int>pro[20];
int stu[MAX];

bool getStu(int allCan){
int ans = 0;
Rep(0, N - 1){
if((stu[i] & allCan) == allCan){
ans ++;
}
}
return ans >= K;
}
bool isFind;
void check002(int len, int allCan, int count, int pos)
{
if(isFind)return ;
if(count == len && getStu(allCan)){///搜索树中的1的个数为len的节点需要判断
isFind = true;
return ;
}
if( pos >=M || count > len){
return ;
}///搜索结束

check002(len, allCan | (1<< pos), count + 1, pos + 1);
check002(len, allCan, count, pos + 1);
///枚举二进制数, 当前两个分支, 要么放1, 要么放0
}
///------------------------直接搜索TLE掉了--------
/**
借鉴了亮神的程序, 预处理对题目的枚举, 减少,重复计算次数, 这样就很快了
*/
///-----------------------------------------再换check- 增加预处理-----------
void shown(int val){
for(int i = 0; i < 15; i++){
cout<<(val &1 )<<" ";
val >>= 1;
}cout<<endl;
}
bool v[MAX];
void dfs(int len, int count, int pos, int val){
if(count == len){
pro[len].push_back(val);
}
if(count > len)return ;
v[pos] = 1;
for(int i = pos + 1; i <= 15; i++){
if(!v[i]){
dfs(len, count + 1, i, val | 1<<(i - 1));
}
}
v[pos] = 0;
}
void makeList( )///预处理题目枚举
{
for(int i = 1; i <= 15; i++){
dfs(i, 0, 0, 0);
}
}
bool check003(int num)
{
int len = pro[num].size();
Rep(0, len - 1){
int ans = 0;
for(int j = 0; j < N; j++){
if((pro[num][i] & stu[j]) == pro[num][i]){
ans ++;
}
}
if(ans >= K)
return true;
}
return false;
}
int find()
{
int d = 1, u = M, mid;///
int ans = 0;
while(u - d >= 0){///
mid = (d + u)/2;
if(check003(mid)){///选择mid个题,  然后枚举mid, 看是否存在>=K人做出
ans = max(ans, mid);
d = mid + 1;
}else {
u = mid - 1;
}
}
return ans;
}
int main() {

makeList( );
//    cout<<pro[14].size()<<endl;
//    Rep(0, pro[14].size() - 1){
//        shown(pro[14][i]);
//    }
//freopen("in.tx0t", "w", stdout);
while(scanf("%d %d %d", &N, &M, &K) != EOF){
int pp, pt;
Rep(0, N - 1){
scanf("%*s %d", &pp);
stu[i] = 0;
for(int j = 0; j < pp; j++){
scanf("%d", &pt);
stu[i] |= (1<<(pt - 1));
}
}
printf("%d\n", find());
}
return 0;
}
/*
*/