import sys from itertools import combinations from functools import lru_cache # 三点が同一直線上にあるかを判定 def is_colinear(p1, p2, p3): x1, y1 = p1 x2, y2 = p2 x3, y3 = p3 return (x2 - x1) * (y3 - y1) == (x3 - x1) * (y2 - y1) # 与えられた点集合が全て一直線上にあるか判定 def is_all_colinear(points): if len(points) <= 2: return True p1, p2 = points[0], points[1] for i in range(2, len(points)): if not is_colinear(p1, p2, points[i]): return False return True def main(): input = sys.stdin.read data = input().strip().split('\n') N = int(data[0]) points = [tuple(map(int, line.split())) for line in data[1:]] # すべての一直線上の部分集合を列挙(ビットマスクで管理) line_sets = [] for mask in range(1, 1 << N): subset = [points[i] for i in range(N) if (mask >> i) & 1] if is_all_colinear(subset): line_sets.append(mask) # メモ化再帰で最小の線分数を探索 @lru_cache(None) def dfs(used_mask): if used_mask == (1 << N) - 1: return 0 res = float('inf') for s in line_sets: if (s | used_mask) != used_mask: res = min(res, 1 + dfs(used_mask | s)) return res print(dfs(0)) if __name__ == "__main__": main()