Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()


Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
import math
from bisect import bisect_left
from bisect import bisect_right
import collections
import copy
import heapq
from collections import defaultdict
from heapq import heappop, heappush
import random
input = sys.stdin.readline

##### リストの 二分木検索 #####
# bisect_left(lists, 3)
# bisect_right(lists, 3)

##### プライオリティキュー #####
# heapq.heapify(a) #リストaのheap化
# heapq.heappush(a,x) #heap化されたリストaに要素xを追加
# heapq.heappop(a) #heap化されたリストaから最小値を削除＆その最小値を出力

# heapq.heappush(a, -x) #最大値を取り出す時は、pushする時にマイナスにして入れよう
# heapq.heappop(a) * (-1) #取り出す時は、-1を掛けて取り出すこと

##### タプルリストのソート #####
# sorted(ans) #(a, b) -> 1st : aの昇順, 2nd : bの昇順
# sorted(SP, key=lambda x:(x[0],-x[1])) #(a, b) -> 1st : aの昇順, 2nd : bの降順
# sorted(SP, key=lambda x:(-x[0],x[1])) #(a, b) -> 1st : aの降順, 2nd : bの昇順
# sorted(SP, key=lambda x:(-x[0],-x[1])) #(a, b) -> 1st : aの降順, 2nd : bの降順

# sorted(SP, key=lambda x:(x[1])) #(a, b) -> 1st : bの昇順
# sorted(SP, key=lambda x:(-x[1])) #(a, b) -> 1st : bの降順

def main():

	N = int(input())
	#N, K = map(int, input().split(" "))

	xy = []
	for _ in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x,y))

	gess = {}
	xm = 0
	ym = 0

	if N == 1:
		print(1)
		sys.exit()

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess:
			gess[(p, q)] += 1
		else:
			gess[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess, key=gess.get)
	nai = gess[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[0]))
	gess1 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess1:
			gess1[(p, q)] += 1
		else:
			gess1[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess1, key=gess1.get)
	nai1 = gess1[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0]))
	gess2 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess2:
			gess2[(p, q)] += 1
		else:
			gess2[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess2, key=gess2.get)
	nai2 = gess2[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[1]))
	gess3 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess3:
			gess3[(p, q)] += 1
		else:
			gess3[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess3, key=gess3.get)
	nai3 = gess3[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[1]))
	gess4 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess4:
			gess4[(p, q)] += 1
		else:
			gess4[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess4, key=gess4.get)
	nai4 = gess4[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[0],-x[1]))
	gess5 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess5:
			gess5[(p, q)] += 1
		else:
			gess5[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess5, key=gess5.get)
	nai5 = gess5[(p,q)]

	#########
	random.shuffle(xy)
	gess6 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess6:
			gess6[(p, q)] += 1
		else:
			gess6[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess6, key=gess6.get)
	nai6 = gess6[(p,q)]

	#########
	random.shuffle(xy)
	gess7 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess7:
			gess7[(p, q)] += 1
		else:
			gess7[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess7, key=gess7.get)
	nai7 = gess7[(p,q)]
		#########
	random.shuffle(xy)
	gess8 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess8:
			gess8[(p, q)] += 1
		else:
			gess8[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess8, key=gess8.get)
	nai8 = gess8[(p,q)]

		#########
	ans = -1

	for _ in range(50000):
		random.shuffle(xy)
		gess9 = {}
		xm = 0
		ym = 0
		for i, val in enumerate(xy):
			if i == 0:
				x,y = val
				xm = x
				ym = y
				continue
			x, y = val

			p = x - xm
			q = y - ym
			if (p,q) in gess9:
				gess9[(p, q)] += 1
			else:
				gess9[(p, q)] = 1
			xm = x
			ym = y

		p, q = max(gess9, key=gess9.get)
		nai9 = gess9[(p,q)]

		if nai9 > ans:
			ans = nai9

	tmp = max(nai, nai2, nai3,nai4, nai5,nai6,nai1,nai7,nai8,ans)

	print(N-tmp)



if __name__ == "__main__":
	main()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
import math
from bisect import bisect_left
from bisect import bisect_right
import collections
import copy
import heapq
from collections import defaultdict
from heapq import heappop, heappush
import random
input = sys.stdin.readline

##### リストの 二分木検索 #####
# bisect_left(lists, 3)
# bisect_right(lists, 3)

##### プライオリティキュー #####
# heapq.heapify(a) #リストaのheap化
# heapq.heappush(a,x) #heap化されたリストaに要素xを追加
# heapq.heappop(a) #heap化されたリストaから最小値を削除＆その最小値を出力

# heapq.heappush(a, -x) #最大値を取り出す時は、pushする時にマイナスにして入れよう
# heapq.heappop(a) * (-1) #取り出す時は、-1を掛けて取り出すこと

##### タプルリストのソート #####
# sorted(ans) #(a, b) -> 1st : aの昇順, 2nd : bの昇順
# sorted(SP, key=lambda x:(x[0],-x[1])) #(a, b) -> 1st : aの昇順, 2nd : bの降順
# sorted(SP, key=lambda x:(-x[0],x[1])) #(a, b) -> 1st : aの降順, 2nd : bの昇順
# sorted(SP, key=lambda x:(-x[0],-x[1])) #(a, b) -> 1st : aの降順, 2nd : bの降順

# sorted(SP, key=lambda x:(x[1])) #(a, b) -> 1st : bの昇順
# sorted(SP, key=lambda x:(-x[1])) #(a, b) -> 1st : bの降順

def main():

	N = int(input())
	#N, K = map(int, input().split(" "))

	xy = []
	for _ in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x,y))

	gess = {}
	xm = 0
	ym = 0

	if N == 1:
		print(1)
		sys.exit()

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess:
			gess[(p, q)] += 1
		else:
			gess[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess, key=gess.get)
	nai = gess[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[0]))
	gess1 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess1:
			gess1[(p, q)] += 1
		else:
			gess1[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess1, key=gess1.get)
	nai1 = gess1[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0]))
	gess2 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess2:
			gess2[(p, q)] += 1
		else:
			gess2[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess2, key=gess2.get)
	nai2 = gess2[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[1]))
	gess3 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess3:
			gess3[(p, q)] += 1
		else:
			gess3[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess3, key=gess3.get)
	nai3 = gess3[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[1]))
	gess4 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess4:
			gess4[(p, q)] += 1
		else:
			gess4[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess4, key=gess4.get)
	nai4 = gess4[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[0],-x[1]))
	gess5 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess5:
			gess5[(p, q)] += 1
		else:
			gess5[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess5, key=gess5.get)
	nai5 = gess5[(p,q)]

	#########
	random.shuffle(xy)
	gess6 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess6:
			gess6[(p, q)] += 1
		else:
			gess6[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess6, key=gess6.get)
	nai6 = gess6[(p,q)]

	#########
	random.shuffle(xy)
	gess7 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess7:
			gess7[(p, q)] += 1
		else:
			gess7[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess7, key=gess7.get)
	nai7 = gess7[(p,q)]
		#########
	random.shuffle(xy)
	gess8 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess8:
			gess8[(p, q)] += 1
		else:
			gess8[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess8, key=gess8.get)
	nai8 = gess8[(p,q)]

		#########
	ans = -1

	for _ in range(100000):
		random.shuffle(xy)
		gess9 = {}
		xm = 0
		ym = 0
		for i, val in enumerate(xy):
			if i == 0:
				x,y = val
				xm = x
				ym = y
				continue
			x, y = val

			p = x - xm
			q = y - ym
			if (p,q) in gess9:
				gess9[(p, q)] += 1
			else:
				gess9[(p, q)] = 1
			xm = x
			ym = y

		p, q = max(gess9, key=gess9.get)
		nai9 = gess9[(p,q)]

		if nai9 > ans:
			ans = nai9

	tmp = max(nai, nai2, nai3,nai4, nai5,nai6,nai1,nai7,nai8,ans)

	print(N-tmp)



if __name__ == "__main__":
	main()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
import math
from bisect import bisect_left
from bisect import bisect_right
import collections
import copy
import heapq
from collections import defaultdict
from heapq import heappop, heappush
import random
input = sys.stdin.readline

##### リストの 二分木検索 #####
# bisect_left(lists, 3)
# bisect_right(lists, 3)

##### プライオリティキュー #####
# heapq.heapify(a) #リストaのheap化
# heapq.heappush(a,x) #heap化されたリストaに要素xを追加
# heapq.heappop(a) #heap化されたリストaから最小値を削除＆その最小値を出力

# heapq.heappush(a, -x) #最大値を取り出す時は、pushする時にマイナスにして入れよう
# heapq.heappop(a) * (-1) #取り出す時は、-1を掛けて取り出すこと

##### タプルリストのソート #####
# sorted(ans) #(a, b) -> 1st : aの昇順, 2nd : bの昇順
# sorted(SP, key=lambda x:(x[0],-x[1])) #(a, b) -> 1st : aの昇順, 2nd : bの降順
# sorted(SP, key=lambda x:(-x[0],x[1])) #(a, b) -> 1st : aの降順, 2nd : bの昇順
# sorted(SP, key=lambda x:(-x[0],-x[1])) #(a, b) -> 1st : aの降順, 2nd : bの降順

# sorted(SP, key=lambda x:(x[1])) #(a, b) -> 1st : bの昇順
# sorted(SP, key=lambda x:(-x[1])) #(a, b) -> 1st : bの降順

def main():

	N = int(input())
	#N, K = map(int, input().split(" "))

	xy = []
	for _ in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x,y))

	gess = {}
	xm = 0
	ym = 0

	if N == 1:
		print(1)
		sys.exit()

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess:
			gess[(p, q)] += 1
		else:
			gess[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess, key=gess.get)
	nai = gess[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[0]))
	gess1 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess1:
			gess1[(p, q)] += 1
		else:
			gess1[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess1, key=gess1.get)
	nai1 = gess1[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0]))
	gess2 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess2:
			gess2[(p, q)] += 1
		else:
			gess2[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess2, key=gess2.get)
	nai2 = gess2[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[1]))
	gess3 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess3:
			gess3[(p, q)] += 1
		else:
			gess3[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess3, key=gess3.get)
	nai3 = gess3[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[1]))
	gess4 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess4:
			gess4[(p, q)] += 1
		else:
			gess4[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess4, key=gess4.get)
	nai4 = gess4[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[0],-x[1]))
	gess5 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess5:
			gess5[(p, q)] += 1
		else:
			gess5[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess5, key=gess5.get)
	nai5 = gess5[(p,q)]

	#########
	random.shuffle(xy)
	gess6 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess6:
			gess6[(p, q)] += 1
		else:
			gess6[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess6, key=gess6.get)
	nai6 = gess6[(p,q)]

	#########
	random.shuffle(xy)
	gess7 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess7:
			gess7[(p, q)] += 1
		else:
			gess7[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess7, key=gess7.get)
	nai7 = gess7[(p,q)]
		#########
	random.shuffle(xy)
	gess8 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		p = x - xm
		q = y - ym
		if (p,q) in gess8:
			gess8[(p, q)] += 1
		else:
			gess8[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess8, key=gess8.get)
	nai8 = gess8[(p,q)]

		#########
	ans = -1

	for _ in range(100000):
		random.shuffle(xy)
		gess9 = {}
		xm = 0
		ym = 0
		for i, val in enumerate(xy):
			if i == 0:
				x,y = val
				xm = x
				ym = y
				continue
			x, y = val

			p = x - xm
			q = y - ym
			if (p,q) in gess9:
				gess9[(p, q)] += 1
			else:
				gess9[(p, q)] = 1
			xm = x
			ym = y

		p, q = max(gess9, key=gess9.get)
		nai9 = gess9[(p,q)]

		if nai9 > ans:
			ans = nai9

	tmp = max(nai, nai2, nai3,nai4, nai5,nai6,nai1,nai7,nai8,ans)

	print(N-tmp)



if __name__ == "__main__":
	main()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import sys
import math
from bisect import bisect_left
from bisect import bisect_right
import collections
import copy
import heapq
from collections import defaultdict
from heapq import heappop, heappush
input = sys.stdin.readline

##### リストの 二分木検索 #####
# bisect_left(lists, 3)
# bisect_right(lists, 3)

##### プライオリティキュー #####
# heapq.heapify(a) #リストaのheap化
# heapq.heappush(a,x) #heap化されたリストaに要素xを追加
# heapq.heappop(a) #heap化されたリストaから最小値を削除＆その最小値を出力

# heapq.heappush(a, -x) #最大値を取り出す時は、pushする時にマイナスにして入れよう
# heapq.heappop(a) * (-1) #取り出す時は、-1を掛けて取り出すこと

##### タプルリストのソート #####
# sorted(ans) #(a, b) -> 1st : aの昇順, 2nd : bの昇順
# sorted(SP, key=lambda x:(x[0],-x[1])) #(a, b) -> 1st : aの昇順, 2nd : bの降順
# sorted(SP, key=lambda x:(-x[0],x[1])) #(a, b) -> 1st : aの降順, 2nd : bの昇順
# sorted(SP, key=lambda x:(-x[0],-x[1])) #(a, b) -> 1st : aの降順, 2nd : bの降順

# sorted(SP, key=lambda x:(x[1])) #(a, b) -> 1st : bの昇順
# sorted(SP, key=lambda x:(-x[1])) #(a, b) -> 1st : bの降順

def main():

	N = int(input())
	#N, K = map(int, input().split(" "))

	xy = []
	for _ in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x,y))

	xy.sort()
	gess = {}
	xm = 0
	ym = 0

	if N == 1:
		print(1)
		sys.exit()

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		if x < xm and y > ym:
			continue
		if x > xm and y < ym:
			continue

		p = x - xm
		q = y - ym
		if (p,q) in gess:
			gess[(p, q)] += 1
		else:
			gess[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess, key=gess.get)
	nai = gess[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0],-x[1]))
	gess2 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		if x < xm and y > ym:
			continue
		if x > xm and y < ym:
			continue

		p = x - xm
		q = y - ym
		if (p,q) in gess2:
			gess2[(p, q)] += 1
		else:
			gess2[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess2, key=gess2.get)
	nai2 = gess2[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[1]))
	gess3 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val

		if x < xm and y > ym:
			continue
		if x > xm and y < ym:
			continue

		p = x - xm
		q = y - ym
		if (p,q) in gess3:
			gess3[(p, q)] += 1
		else:
			gess3[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess3, key=gess3.get)
	nai3 = gess3[(p,q)]


	tmp = max(nai, nai2, nai3)

	print(N-tmp)



if __name__ == "__main__":
	main()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import sys
import math
from bisect import bisect_left
from bisect import bisect_right
import collections
import copy
import heapq
from collections import defaultdict
from heapq import heappop, heappush
input = sys.stdin.readline

##### リストの 二分木検索 #####
# bisect_left(lists, 3)
# bisect_right(lists, 3)

##### プライオリティキュー #####
# heapq.heapify(a) #リストaのheap化
# heapq.heappush(a,x) #heap化されたリストaに要素xを追加
# heapq.heappop(a) #heap化されたリストaから最小値を削除＆その最小値を出力

# heapq.heappush(a, -x) #最大値を取り出す時は、pushする時にマイナスにして入れよう
# heapq.heappop(a) * (-1) #取り出す時は、-1を掛けて取り出すこと

##### タプルリストのソート #####
# sorted(ans) #(a, b) -> 1st : aの昇順, 2nd : bの昇順
# sorted(SP, key=lambda x:(x[0],-x[1])) #(a, b) -> 1st : aの昇順, 2nd : bの降順
# sorted(SP, key=lambda x:(-x[0],x[1])) #(a, b) -> 1st : aの降順, 2nd : bの昇順
# sorted(SP, key=lambda x:(-x[0],-x[1])) #(a, b) -> 1st : aの降順, 2nd : bの降順

# sorted(SP, key=lambda x:(x[1])) #(a, b) -> 1st : bの昇順
# sorted(SP, key=lambda x:(-x[1])) #(a, b) -> 1st : bの降順

def main():

	N = int(input())
	#N, K = map(int, input().split(" "))

	xy = []
	for _ in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x,y))

	xy.sort()
	gess = {}
	xm = 0
	ym = 0

	if N == 1:
		print(1)
		sys.exit()

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess:
			gess[(p, q)] += 1
		else:
			gess[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess, key=gess.get)
	nai = gess[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0],-x[1]))
	gess2 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess2:
			gess2[(p, q)] += 1
		else:
			gess2[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess2, key=gess2.get)
	nai2 = gess2[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[1]))
	gess3 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess3:
			gess3[(p, q)] += 1
		else:
			gess3[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess3, key=gess3.get)
	nai3 = gess3[(p,q)]

	#########
	xy = sorted(SP, key=lambda x:(-x[1]))
	gess4 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess4:
			gess4[(p, q)] += 1
		else:
			gess4[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess4, key=gess4.get)
	nai4 = gess4[(p,q)]

	tmp = max(nai, nai2, nai3, nai4)

	print(N-tmp)



if __name__ == "__main__":
	main()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import sys
import math
from bisect import bisect_left
from bisect import bisect_right
import collections
import copy
import heapq
from collections import defaultdict
from heapq import heappop, heappush
input = sys.stdin.readline

##### リストの 二分木検索 #####
# bisect_left(lists, 3)
# bisect_right(lists, 3)

##### プライオリティキュー #####
# heapq.heapify(a) #リストaのheap化
# heapq.heappush(a,x) #heap化されたリストaに要素xを追加
# heapq.heappop(a) #heap化されたリストaから最小値を削除＆その最小値を出力

# heapq.heappush(a, -x) #最大値を取り出す時は、pushする時にマイナスにして入れよう
# heapq.heappop(a) * (-1) #取り出す時は、-1を掛けて取り出すこと

##### タプルリストのソート #####
# sorted(ans) #(a, b) -> 1st : aの昇順, 2nd : bの昇順
# sorted(SP, key=lambda x:(x[0],-x[1])) #(a, b) -> 1st : aの昇順, 2nd : bの降順
# sorted(SP, key=lambda x:(-x[0],x[1])) #(a, b) -> 1st : aの降順, 2nd : bの昇順
# sorted(SP, key=lambda x:(-x[0],-x[1])) #(a, b) -> 1st : aの降順, 2nd : bの降順

# sorted(SP, key=lambda x:(x[1])) #(a, b) -> 1st : bの昇順
# sorted(SP, key=lambda x:(-x[1])) #(a, b) -> 1st : bの降順

def main():

	N = int(input())
	#N, K = map(int, input().split(" "))

	xy = []
	for _ in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x,y))

	xy.sort()
	gess = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess:
			gess[(p, q)] += 1
		else:
			gess[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess, key=gess.get)
	nai = gess[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0],-x[1]))
	gess2 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess2:
			gess2[(p, q)] += 1
		else:
			gess2[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess2, key=gess2.get)
	nai2 = gess2[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(x[0],-x[1]))
	gess3 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess3:
			gess3[(p, q)] += 1
		else:
			gess3[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess3, key=gess3.get)
	nai3 = gess3[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0],x[1]))
	gess4 = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess3:
			gess4[(p, q)] += 1
		else:
			gess4[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess4, key=gess4.get)
	nai4 = gess4[(p,q)]

	tmp = max(nai, nai2, nai3, nai4)

	print(N-tmp)



if __name__ == "__main__":
	main()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import sys
import math
from bisect import bisect_left
from bisect import bisect_right
import collections
import copy
import heapq
from collections import defaultdict
from heapq import heappop, heappush
input = sys.stdin.readline

##### リストの 二分木検索 #####
# bisect_left(lists, 3)
# bisect_right(lists, 3)

##### プライオリティキュー #####
# heapq.heapify(a) #リストaのheap化
# heapq.heappush(a,x) #heap化されたリストaに要素xを追加
# heapq.heappop(a) #heap化されたリストaから最小値を削除＆その最小値を出力

# heapq.heappush(a, -x) #最大値を取り出す時は、pushする時にマイナスにして入れよう
# heapq.heappop(a) * (-1) #取り出す時は、-1を掛けて取り出すこと

##### タプルリストのソート #####
# sorted(ans) #(a, b) -> 1st : aの昇順, 2nd : bの昇順
# sorted(SP, key=lambda x:(x[0],-x[1])) #(a, b) -> 1st : aの昇順, 2nd : bの降順
# sorted(SP, key=lambda x:(-x[0],x[1])) #(a, b) -> 1st : aの降順, 2nd : bの昇順
# sorted(SP, key=lambda x:(-x[0],-x[1])) #(a, b) -> 1st : aの降順, 2nd : bの降順

# sorted(SP, key=lambda x:(x[1])) #(a, b) -> 1st : bの昇順
# sorted(SP, key=lambda x:(-x[1])) #(a, b) -> 1st : bの降順

def main():

	N = int(input())
	#N, K = map(int, input().split(" "))

	xy = []
	for _ in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x,y))

	xy.sort()
	gess = {}
	xm = 0
	ym = 0

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess:
			gess[(p, q)] += 1
		else:
			gess[(p, q)] = 1
		xm = x
		ym = y

	p, q = max(gess, key=gess.get)
	nai = gess[(p,q)]

	#########
	xy = sorted(xy, key=lambda x:(-x[0],-x[1]))
	gess2 = {}
	xm = 0
	ym = 0

	#print(xy)

	for i, val in enumerate(xy):
		if i == 0:
			x,y = val
			xm = x
			ym = y
			continue
		x, y = val
		p = x - xm
		q = y - ym
		if (p,q) in gess2:
			gess2[(p, q)] += 1
		else:
			gess2[(p, q)] = 1
		xm = x
		ym = y

	#print(gess2)

	p, q = max(gess2, key=gess2.get)
	nai2 = gess2[(p,q)]

	tmp = max(nai, nai2)

	print(N-tmp)



if __name__ == "__main__":
	main()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
import copy
import collections
from bisect import bisect_left
from bisect import bisect_right
from collections import defaultdict
from heapq import heappop, heappush
import numpy as np
import statistics
from statistics import mean, median,variance,stdev
import math

def main():
	N = int(input())
	xy = []
	for i in range(N):
		x, y = map(int, input().split(" "))
		xy.append((x, y))
		
	if N == 1:
		print(1)
		sys.exit()
		
	re = {}
	for i, val in enumerate(xy):
		x, y = val
		for j, vol in enumerate(xy):
			if i == j:
				continue
			nx, ny = vol
			p = nx - x
			q = ny -y
			if (p, q) in re:
				re[(p, q)] += 1
			else:
				re[(p, q)] = 1
				
	ans = N - max(re.values())
	
	print(ans)
	
	
if __name__ == "__main__":
	main()