Buggy python submission (verdict: Time Limit Exceeded):
from math import ceil,floor,factorial,gcd,sqrt,log2,cos,sin,tan,acos,asin,atan,degrees,radians,pi,inf
from itertools import accumulate,groupby,permutations,combinations,product,combinations_with_replacement
from collections import deque,defaultdict,Counter
from bisect import bisect_left,bisect_right
from operator import itemgetter
from heapq import heapify,heappop,heappush
from queue import Queue,LifoQueue,PriorityQueue
from copy import deepcopy
from time import time
import string
import sys
sys.setrecursionlimit(10 ** 7)
def input() : return sys.stdin.readline().strip()
def INT()   : return int(input())
def MAP()   : return map(int,input().split())
def LIST()  : return list(MAP())

n = INT()
x = [LIST() for i in range(n)]
l = list(range(n))
ans = inf

for v in permutations(l, n):
    for i in range(n):
        for j in range(n):
            p = x[j][0] - x[i][0] 
            q = x[j][1] - x[i][1]
            cost = 1
            for k in range(1, n):
                if x[v[k-1]][0] == x[v[k]][0] - p and x[v[k-1]][1] == x[v[k]][1] - q:
                    continue
                else:
                    cost += 1
            ans = min(ans, cost)

print(ans)

Fixed submission:
from math import ceil,floor,factorial,gcd,sqrt,log2,cos,sin,tan,acos,asin,atan,degrees,radians,pi,inf
from itertools import accumulate,groupby,permutations,combinations,product,combinations_with_replacement
from collections import deque,defaultdict,Counter
from bisect import bisect_left,bisect_right
from operator import itemgetter
from heapq import heapify,heappop,heappush
from queue import Queue,LifoQueue,PriorityQueue
from copy import deepcopy
from time import time
import string
import sys
sys.setrecursionlimit(10 ** 7)
def input() : return sys.stdin.readline().strip()
def INT()   : return int(input())
def MAP()   : return map(int,input().split())
def LIST()  : return list(MAP())

n = INT()
x = [LIST() for i in range(n)]
reg = 0

for i in range(n):
    for j in range(n):
        if i != j:
            p = x[j][0] - x[i][0]
            q = x[j][1] - x[i][1]
            count = 0
            for k in range(n):
                for l in range(n):
                    if x[l][0] - x[k][0] == p  and x[l][1] - x[k][1] ==  q:
                        count += 1
            reg = max(reg, count)

ans = n - reg
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from math import ceil,floor,factorial,gcd,sqrt,log2,cos,sin,tan,acos,asin,atan,degrees,radians,pi,inf
from itertools import accumulate,groupby,permutations,combinations,product,combinations_with_replacement
from collections import deque,defaultdict,Counter
from bisect import bisect_left,bisect_right
from operator import itemgetter
from heapq import heapify,heappop,heappush
from queue import Queue,LifoQueue,PriorityQueue
from copy import deepcopy
from time import time
import string
import sys
sys.setrecursionlimit(10 ** 7)
def input() : return sys.stdin.readline().strip()
def INT()   : return int(input())
def MAP()   : return map(int,input().split())
def LIST()  : return list(MAP())

n = INT()
x = [LIST() for i in range(n)]
l = list(range(n))
ans = inf

for v in permutations(l, n):
    for i in range(n):
        for j in range(n):
            p = x[j][0] - x[i][0] 
            q = x[j][1] - x[i][1]
            cost = 1
            for k in range(1, n):
                if x[v[k-1]][0] == x[v[k]][0] - p and x[v[k-1]][1] == x[v[k]][1] - q:
                    continue
                else:
                    cost += 1
            ans = min(ans, cost)

print(ans)

Fixed submission:
from math import ceil,floor,factorial,gcd,sqrt,log2,cos,sin,tan,acos,asin,atan,degrees,radians,pi,inf
from itertools import accumulate,groupby,permutations,combinations,product,combinations_with_replacement
from collections import deque,defaultdict,Counter
from bisect import bisect_left,bisect_right
from operator import itemgetter
from heapq import heapify,heappop,heappush
from queue import Queue,LifoQueue,PriorityQueue
from copy import deepcopy
from time import time
import string
import sys
sys.setrecursionlimit(10 ** 7)
def input() : return sys.stdin.readline().strip()
def INT()   : return int(input())
def MAP()   : return map(int,input().split())
def LIST()  : return list(MAP())

n = INT()
x = [LIST() for i in range(n)]
reg = 0

for i in range(n):
    for j in range(n):
        if i != j:
            p = x[j][0] - x[i][0]
            q = x[j][1] - x[i][1]
            count = 0
            for k in range(n):
                for l in range(n):
                    if x[l][0] - x[k][0] == p  and x[l][1] - x[k][1] ==  q:
                        count += 1
            reg = max(reg, count)

ans = n - reg
print(ans)