import sys
from itertools import permutations
from fractions import Fraction as frac
input = sys.stdin.readline


class Vector2:
	def __init__(self, x: frac, y: frac):
		self.x = x
		self.y = y

	def __eq__(self, other):
		return (self.x == other.x and self.y == other.y)

	def __sub__(self, other):
		return Vector2(other.x - self.x, other.y - self.y)

	def __mul__(self, other):
		return self.x * other.y - self.y * other.x

def normalize_vector(v: Vector2) -> Vector2:
	assert(v.x != 0 or v.y != 0)
	norm = v.x ** 2 + v.y ** 2
	return Vector2(v.x * abs(v.x) / norm, v.y * abs(v.y) / norm)


def sgn(x: frac) -> int:
	if(x > 0):
		return 1
	if(x < 0):
		return -1
	return 0


"""
Main Code
"""

N = int(input())
P = [Vector2(*map(frac, input().split())) for _ in [0] * N]

if(N == 1):
	print(1)
	exit(0)

vec_lis = [[None]*N for _ in [0]*N]
for i in range(N - 1):
	for j in range(i + 1, N):
		vec_lis[i][j] = normalize_vector(P[j] - P[i])
		vec_lis[j][i] = normalize_vector(P[i] - P[j])

ans = N
num = [*range(N)]
for tup in permutations(num):
	p = [P[k] for k in num]
	lis = [vec_lis[tup[0]][tup[1]]]
	flag = False
	for i in range(1, N - 1):
		v = vec_lis[tup[i]][tup[i + 1]]
		if(lis[-1] == v):
			continue
		if(lis[-1] * v == 0):
			flag = True
			break
		lis.append(v)
	if(flag):
		continue

	M = len(lis)
	if(M <= 2):
		ans = min(ans, M)
		continue

	dp = [[-1]*2 for _ in [0]*(M - 1)]
	dp[0][0] = 0
	for j in range(1, M - 1):
		v1, v2, v3 = lis[j - 1: j + 2]
		if(sgn(v1 * v2) == sgn(v2 * v3) == sgn(v1 * v3)):
			dp[j][1] = dp[j - 1][0] + 1
		dp[j][0] = max(dp[j - 1])

	ans = min(ans, M - max(dp[M - 2]))

print(ans)