#include #include #include using namespace std; #define MAXN 700 typedef unsigned char uch; typedef unsigned int u32; // // Hash Map // #define HASHB 4096 const size_t KeySz = sizeof(int) * 2; struct HM { struct Key { int d[2]; Key(int *D) { memcpy(d, D, KeySz); } bool operator==(const Key &x) const { return memcmp(d, x.d, KeySz) == 0; } }; struct KV { Key k; int v; KV(const Key &K, int V) : k(K), v(V) {} }; typedef vector KVV; KVV b[HASHB]; u32 fnv_hash(const Key &k, int len) const { uch *p = reinterpret_cast(const_cast(k.d)); u32 h = 2166136261U; for (int i = 0; i < len; ++i) h = (h * 16777619U) ^ p[i]; return h; } int add(const Key &k) { int i = fnv_hash(k, KeySz) % HASHB; for (int j = 0, J = b[i].size(); j < J; ++j) if (b[i][j].k == k) return ++b[i][j].v; b[i].push_back(KV(k, 2)); return 2; return true; } }; template T gcd(T a, T b) { for (T c = a%b; c != 0; a=b,b=c,c=a%b); return b; } int n; int pts[MAXN][2]; int solve() { if (n <= 2) return n; int ans = 0; int m[2]; // slope, as a rational number for (int i = 0; i < n; ++i) { HM hm; for (int j = i + 1; j < n; ++j) { if (pts[i][0] == pts[j][0]) m[0] = m[1] = 0; else { m[0] = pts[j][1] - pts[i][1]; m[1] = pts[j][0] - pts[i][0]; int g = gcd(m[0], m[1]); m[0] /= g; m[1] /= g; } int coll = hm.add(HM::Key(m)); if (coll > ans) ans = coll; } } return ans; } int main() { int T; scanf("%d", &T); int ncase = 0; while (T--) { scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d%d", &pts[i][0], &pts[i][1]); printf("Case %d: %d\n", ++ncase, solve()); } return 0; }