Buggy python submission (verdict: Runtime Error):
import fractions
N = int(input())
sheet = []
for i in range(N):
  line = input().split()
  sheet+=[(int(line[0]), int(line[1]))]
ans = []
for i in range(N):
  start = sheet[i]
  for j in range(i+1, N):
    vec = [(sheet[j][0]-start[0]), (sheet[j][1]-start[1])]
    size = fractions.gcd(vec[0],vec[1])
    vec[0] = vec[0]//size
    vec[1] = vec[1]//size
    count = 0
    for h in range(N):
      for k in range(h+1,N):
        vec2 = [(sheet[k][0]-sheet[h][0]), (sheet[k][1]-sheet[h][1])]
        size = fractions.gcd(vec2[0],vec2[1])
        vec2[0] = vec2[0]//size
        vec2[1] = vec2[1]//size
        if vec == vec2:
          count += 1
    ans += [count]
print(N-max(ans))


Fixed submission:
N,*L = map(int, open(0).read().split())
ls = [0]*N
for i,c in enumerate(zip(*[iter(L)]*2)):
  ls[i] = c
ls.sort()
pls = []
for i in range(N):
  for j in range(i+1,N):
    a,b = ls[i]
    x,y = ls[j]
    pls += [(x-a,y-b)]
ans = 10**10
for X,Y in pls:
  s = set()
  m = 0
  for x,y in ls:
    if (x-X, y-Y) not in s:
      m += 1
    s.add((x,y))
  ans = min(m,ans)
if N==1:
  ans = 1
print(ans)

Buggy python submission (verdict: Runtime Error):
for i in range(N):
  line = input().split()
  sheet+=[(int(line[0]), int(line[1]))]
dic = {}
for i in range(N):
  start = sheet[i]
  for j in range(i+1, N):
    vec = [(sheet[j][0]-start[0]), (sheet[j][1]-start[1])]
    size = fractions.gcd(vec[0],vec[1])
    vec[0] = vec[0]//size
    vec[1] = vec[1]//size
    if vec[0]<0 and vec[1]<0:
      vec[0] = -vec[0]
      vec[1] = -vec[1]
    vec = tuple(vec)
    if vec not in dic.keys():
      dic[vec] = set([j])
    else:
      dic[vec].add(j)
m = 0
for s in dic.values():
  if len(s)>m:
    m = len(s)
print(N-m)

Fixed submission:
N,*L = map(int, open(0).read().split())
ls = [0]*N
for i,c in enumerate(zip(*[iter(L)]*2)):
  ls[i] = c
ls.sort()
pls = []
for i in range(N):
  for j in range(i+1,N):
    a,b = ls[i]
    x,y = ls[j]
    pls += [(x-a,y-b)]
ans = 10**10
for X,Y in pls:
  s = set()
  m = 0
  for x,y in ls:
    if (x-X, y-Y) not in s:
      m += 1
    s.add((x,y))
  ans = min(m,ans)
if N==1:
  ans = 1
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
N = int(input())
sheet = []
for i in range(N):
  line = input().split()
  sheet+=[(int(line[0]), int(line[1]))]
dic = {}
for i in range(N):
  start = sheet[i]
  for j in range(i+1, N):
    vec = [(sheet[j][0]-start[0]), (sheet[j][1]-start[1])]
    size = math.gcd(vec[0],vec[1])
    vec[0] = vec[0]//size
    vec[1] = vec[1]//size
    vec = tuple(vec)
    if vec not in dic.keys():
      dic[vec] = set([j])
    else:
      dic[vec].add(j)
m = 0
for s in dic.values():
  if len(s)>m:
    m = len(s)
print(N-m)

Fixed submission:
N,*L = map(int, open(0).read().split())
ls = [0]*N
for i,c in enumerate(zip(*[iter(L)]*2)):
  ls[i] = c
ls.sort()
pls = []
for i in range(N):
  for j in range(i+1,N):
    a,b = ls[i]
    x,y = ls[j]
    pls += [(x-a,y-b)]
ans = 10**10
for X,Y in pls:
  s = set()
  m = 0
  for x,y in ls:
    if (x-X, y-Y) not in s:
      m += 1
    s.add((x,y))
  ans = min(m,ans)
if N==1:
  ans = 1
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
N = int(input())
sheet = []
for i in range(N):
  line = input().split()
  sheet += [(int(line[0]), int(line[1]))]
 
dic = {}
for i in range(N):
  start = sheet[i]
  for j in range(i+1, N):
    vec = [(sheet[j][0]-start[0]), (sheet[j][1]-start[1])]
    size = math.gcd(vec[0],vec[1])
    vec[0] = vec[0]//size
    vec[1] = vec[1]//size
    vec = tuple(vec)
    if vec not in dic.keys():
      dic[vec] = set([j])
    else:
      dic[vec].add(j)
m = 0
for s in dic.values():
  if len(s)>m:
    m = len(s)
print(N-m)

Fixed submission:
N,*L = map(int, open(0).read().split())
ls = [0]*N
for i,c in enumerate(zip(*[iter(L)]*2)):
  ls[i] = c
ls.sort()
pls = []
for i in range(N):
  for j in range(i+1,N):
    a,b = ls[i]
    x,y = ls[j]
    pls += [(x-a,y-b)]
ans = 10**10
for X,Y in pls:
  s = set()
  m = 0
  for x,y in ls:
    if (x-X, y-Y) not in s:
      m += 1
    s.add((x,y))
  ans = min(m,ans)
if N==1:
  ans = 1
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
N = int(input())
sheet = []
for i in range(N):
  line = input().split()
  sheet += [(int(line[0]), int(line[1]))]

dic = {}
for i in range(N):
  start = sheet[i]
  for j in range(i+1, N):
    vec = [(sheet[j][0]-start[0]), (sheet[j][1]-start[1])]
    size = math.gcd(vec[0],vec[1])
    vec[0] = vec[0]//size
    vec[1] = vec[1]//size
    vec = tuple(vec)
    if vec not in dic.keys():
      dic[vec] = set([j])
    else:
      dic[vec].add(j)
m = 0
for s in dic.values():
  if len(s)>m:
    m = len(s)
print(N-m)

Fixed submission:
N,*L = map(int, open(0).read().split())
ls = [0]*N
for i,c in enumerate(zip(*[iter(L)]*2)):
  ls[i] = c
ls.sort()
pls = []
for i in range(N):
  for j in range(i+1,N):
    a,b = ls[i]
    x,y = ls[j]
    pls += [(x-a,y-b)]
ans = 10**10
for X,Y in pls:
  s = set()
  m = 0
  for x,y in ls:
    if (x-X, y-Y) not in s:
      m += 1
    s.add((x,y))
  ans = min(m,ans)
if N==1:
  ans = 1
print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
sheet = []
for i in range(N):
  line = input().split()
  sheet += [(int(line[0]), int(line[1]))]

dic = {}
for i in range(N):
  start = sheet[i]
  for j in range(i+1, N):
    vec = ((sheet[j][0]-sheet[i][0]), sheet[j][1]-sheet[i][1])
    if vec not in dic.keys():
      dic[vec]=1
    else:
      dic[vec]+=1

a = max(dic.values())
print(N-a)

Fixed submission:
N,*L = map(int, open(0).read().split())
ls = [0]*N
for i,c in enumerate(zip(*[iter(L)]*2)):
  ls[i] = c
ls.sort()
pls = []
for i in range(N):
  for j in range(i+1,N):
    a,b = ls[i]
    x,y = ls[j]
    pls += [(x-a,y-b)]
ans = 10**10
for X,Y in pls:
  s = set()
  m = 0
  for x,y in ls:
    if (x-X, y-Y) not in s:
      m += 1
    s.add((x,y))
  ans = min(m,ans)
if N==1:
  ans = 1
print(ans)