Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
from operator import itemgetter
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
X, Y = list(map(list, zip(*XY)))

P = [abs(x1 - x2) for x1, x2 in combinations(X, 2)]
P = set(P)
if 0 in P:
    P.remove(0)
P = list(P)
Q = [abs(y1 - y2) for y1, y2 in combinations(Y, 2)]
Q = set(Q)
if 0 in Q:
    Q.remove(0)
Q = list(Q)
ans = 10**10
geta = 10**10
for p in P:
    S = {(x+p)*geta+y for x, y in XY}
    la = 0
    for x, y in XY:
        if x*geta + y not in S:
            la += 1
    ans = min(ans, la)

for q in Q:
    S = {x*geta+y+q for x, y in XY}
    la = 0
    for x, y in XY:
        if x*geta + y not in S:
            la += 1
    ans = min(ans, la)
S = {x*geta+y for x, y in XY}
for p in P:
    for q in Q:
        S1 = {(x+p)*geta+y+q for x, y in XY}
        S2 = {(x+p)*geta+y-q for x, y in XY}
        ans = min(ans, N - len(S & S1), N - len(S & S2))
        
if N == 1:
    ans = 1
print(ans)

Fixed submission:
from collections import Counter
from itertools import combinations
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
XY.sort()
A = Counter()
for (x1, y1), (x2, y2) in combinations(XY, 2):
    A[(x1-x2, y1-y2)] += 1
if N == 1:
    print(1)
else:
    print(N - max(A.values()))

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
from operator import itemgetter
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
X, Y = list(map(list, zip(*XY)))

P = [abs(x1 - x2) for x1, x2 in combinations(X, 2)]
P = set(P)
if 0 in P:
    P.remove(0)
P = list(P)
Q = [abs(y1 - y2) for y1, y2 in combinations(Y, 2)]
Q = set(Q)
if 0 in Q:
    Q.remove(0)
Q = list(Q)
ans = 10**10
geta = 10**10
for p in P:
    S = {(x+p)*geta+y for x, y in XY}
    la = 0
    for x, y in XY:
        if x*geta + y not in S:
            la += 1
    ans = min(ans, la)

for q in Q:
    S = {x*geta+y+q for x, y in XY}
    la = 0
    for x, y in XY:
        if x*geta + y not in S:
            la += 1
    ans = min(ans, la)

for p in P:
    for q in Q:
        S1 = {(x+p)*geta+y+q for x, y in XY}
        S2 = {(x+p)*geta+y-q for x, y in XY}
        la1 = 0
        la2 = 0
        for x, y in XY:
            if x*geta + y not in S1:
                la1 += 1
            if x*geta + y not in S2:
                la2 += 1
        ans = min(ans, la1, la2)
        
if N == 1:
    ans = 1
print(ans)


Fixed submission:
from collections import Counter
from itertools import combinations
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
XY.sort()
A = Counter()
for (x1, y1), (x2, y2) in combinations(XY, 2):
    A[(x1-x2, y1-y2)] += 1
if N == 1:
    print(1)
else:
    print(N - max(A.values()))

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
from operator import itemgetter
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
X, Y = list(map(list, zip(*XY)))

P = [abs(x1 - x2) for x1, x2 in combinations(X, 2)]
P = set(P)
if 0 in P:
    P.remove(0)
P = list(P)
Q = [abs(y1 - y2) for y1, y2 in combinations(Y, 2)]
Q = set(Q)
if 0 in Q:
    Q.remove(0)
Q = list(Q)
ans = 10**10
geta = 10**10
XY.sort()
for p in P:
    S = set()
    la = 0
    for x, y in XY:
        if (x, y) not in S:
            la += 1
        S.add((x+p, y))
    ans = min(ans, la)
XY1 = XY[:]
XY1.sort(key = itemgetter(1))
for q in Q:
    S = set()
    la = 0
    for x, y in XY1:
        if (x, y) not in S:
            la += 1
        S.add((x, y+q))
    ans = min(ans, la)

for p in P:
    for q in Q:
        S1 = set()
        S2 = set()
        la1 = 0
        la2 = 0
        for x, y in XY:
            if x*geta + y not in S1:
                la1 += 1
            if x*geta + y not in S2:
                la2 += 1
            S1.add((x+p)*geta + y+q)
            S2.add((x+p)*geta + y-q)
        ans = min(ans, la1, la2)
        
if N == 1:
    ans = 1
print(ans)


Fixed submission:
from collections import Counter
from itertools import combinations
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
XY.sort()
A = Counter()
for (x1, y1), (x2, y2) in combinations(XY, 2):
    A[(x1-x2, y1-y2)] += 1
if N == 1:
    print(1)
else:
    print(N - max(A.values()))

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
from operator import itemgetter
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
X, Y = list(map(list, zip(*XY)))

P = [abs(x1 - x2) for x1, x2 in combinations(X, 2)]
P = set(P)
if 0 in P:
    P.remove(0)
P = list(P)
Q = [abs(y1 - y2) for y1, y2 in combinations(Y, 2)]
Q = set(Q)
if 0 in Q:
    Q.remove(0)
Q = list(Q)
ans = 10**10
geta = 10**10
XY.sort()
for p in P:
    S = set()
    la = 0
    for x, y in XY:
        if (x, y) not in S:
            la += 1
        S.add((x+p, y))
    ans = min(ans, la)
XY1 = XY[:]
XY1.sort(key = itemgetter(1))
for q in Q:
    S = set()
    la = 0
    for x, y in XY1:
        if (x, y) not in S:
            la += 1
        S.add((x, y+q))
    ans = min(ans, la)

for p in P:
    for q in Q:
        S = set()
        la = 0
        for x, y in XY:
            if x*geta + y not in S:
                la += 1
            S.add((x+p)*geta + y+q)
        ans = min(ans, la)
        S = set()
        la = 0
        for x, y in XY:
            if x*geta + y not in S:
                la += 1
            S.add((x+p)*geta + y-q)
        ans = min(ans, la)
if N == 1:
    ans = 1
print(ans)


Fixed submission:
from collections import Counter
from itertools import combinations
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
XY.sort()
A = Counter()
for (x1, y1), (x2, y2) in combinations(XY, 2):
    A[(x1-x2, y1-y2)] += 1
if N == 1:
    print(1)
else:
    print(N - max(A.values()))

Buggy python submission (verdict: Runtime Error):
from itertools import combinations
from operator import itemgetter
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
X, Y = list(map(list, zip(*XY)))

P = [abs(x1 - x2) for x1, x2 in combinations(X, 2)]
P = set(P)
if 0 in P:
    P.remove(0)
P = list(P)
Q = [abs(y1 - y2) for y1, y2 in combinations(Y, 2)]
Q = set(Q)
if 0 in Q:
    Q.remove(0)
Q = list(Q)
ans = 10**10

XY.sort()
for p in P:
    S = set()
    la = 0
    for x, y in XY:
        if (x, y) not in S:
            la += 1
        S.add((x+p, y))
    ans = min(ans, la)
XY1 = XY[:]
XY1.sort(ley = itemgetter(1))
for q in Q:
    S = set()
    la = 0
    for x, y in XY1:
        if (x, y) not in S:
            la += 1
        S.add((x, y+q))
    ans = min(ans, la)

for p in P:
    for q in Q:
        S = set()
        la = 0
        for x, y in XY:
            if (x, y) not in S:
                la += 1
            S.add((x+p, y+q))
        ans = min(ans, la)
        S = set()
        la = 0
        for x, y in XY:
            if (x, y) not in S:
                la += 1
            S.add((x+p, y-q))
        ans = min(ans, la)
print(ans)


Fixed submission:
from collections import Counter
from itertools import combinations
N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
XY.sort()
A = Counter()
for (x1, y1), (x2, y2) in combinations(XY, 2):
    A[(x1-x2, y1-y2)] += 1
if N == 1:
    print(1)
else:
    print(N - max(A.values()))