#pragma comment(linker, "/STACK:1024000000,1024000000") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug() puts("++++") #define gcd(a, b) __gcd(a, b) #define lson l,m,rt<<1 #define rson m+1,r,rt<<1|1 #define fi first #define se second #define pb push_back #define sqr(x) ((x)*(x)) #define ms(a,b) memset(a, b, sizeof a) #define sz size() #define be begin() #define ed end() #define pu push_up #define pd push_down #define cl clear() #define lowbit(x) -x&x //#define all 1,n,1 #define FOR(i,n,x) for(int i = (x); i < (n); ++i) #define freopenr freopen("in.in", "r", stdin) #define freopenw freopen("out.out", "w", stdout) using namespace std; typedef long long LL; typedef unsigned long long ULL; typedef pair P; const int INF = 0x3f3f3f3f; const LL LNF = 1e17; const double inf = 1e20; const double PI = acos(-1.0); const double eps = 1e-8; const int maxn = 1e5 + 20; const int maxm = 1e6 + 10; const LL mod = 1000000000000000LL; const int dr[] = {-1, 1, 0, 0, 1, 1, -1, -1}; const int dc[] = {0, 0, 1, -1, 1, -1, 1, -1}; const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"}; int n, m; const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; inline bool is_in(int r, int c) { return r >= 0 && r < n && c >= 0 && c < m; } inline int readInt(){ int x; scanf("%d", &x); return x; } char s[52]; int num[1100]; int main(){ int T; cin >> T; for(int kase = 1; kase <= T; ++kase){ int K; scanf("%d %d %d", &n, &m, &K); for(int i = 0; i < n; ++i){ scanf("%s", s); num[i] = 0; for(int j = 0; j < m; ++j) num[i] |= (1< n * (n-1) / 2){ printf("Case #%d: 0\n", kase); continue; } int all = 1< sub; for(int i = all-1; i; --i){ bool ok = true; for(auto &j : sub) if((j&i) == i){ ok = false; break; } if(!ok) continue; map mp; for(int j = 0; j < n; ++j) ++mp[num[j]&i]; if(mp.sz * ((int)mp.sz-1) >= K * 2) ++ans; else{ int sum = n; int cnt = 0; for(auto &it : mp){ cnt += (sum - it.se) * it.se; sum -= it.se; if(cnt >= K) break; } if(cnt >= K) ++ans; else sub.pb(i); } } printf("Case #%d: %d\n", kase, ans); } return 0; }