Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, raw_input().split())
A = map(int, raw_input().split())

AX = [0]
s = 0
for a in A:
    s += a
    AX.append(s)

result = 0
for i in range(1, N+1):
    for j in range(i, N+1):
        if (AX[j] - AX[i-1]) % M == 0:
            result += 1
print(result)


Fixed submission:
N, M = map(int, raw_input().split())
A = map(int, raw_input().split())

AX = []
s = 0
for a in A:
    s += a
    AX.append(s)

B = {}
B[0] = 1
for i in range(N):
    e = AX[i] % M
    if e not in B:
        B[e] = 1
    else:
        B[e] += 1

res = 0
for _,v in B.items():
    res += v * (v-1) / 2

print(res)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, raw_input().split())
A = map(int, raw_input().split())

AX = [0]
s = 0
for a in A:
    s += a
    AX.append(s)

result = []
for i in range(1, N+1):
    for j in range(1, N+1):
        if i <= j:
            if (AX[j] - AX[i-1]) % M == 0:
                result.append((i,j,AX[j] - AX[i-1]))
print(len(result))


Fixed submission:
N, M = map(int, raw_input().split())
A = map(int, raw_input().split())

AX = []
s = 0
for a in A:
    s += a
    AX.append(s)

B = {}
B[0] = 1
for i in range(N):
    e = AX[i] % M
    if e not in B:
        B[e] = 1
    else:
        B[e] += 1

res = 0
for _,v in B.items():
    res += v * (v-1) / 2

print(res)
Buggy python submission (verdict: Runtime Error):
a, b, k = map(int, raw_input().split())

if b - a + 1 <= k * 2:
    for i in range(a, b+1):
        print(i)
else:
    l = list(range(a, b+1))
    for i in l[:k]:
        print(i)
    for i in l[-k:]:
        print(i)


Fixed submission:
a, b, k = map(int, raw_input().split())

if b - a + 1 <= k * 2:
    for i in range(a, b+1):
        print(i)
else:
    for i in range(a, a+k):
        print(i)
    for i in range(b-k+1, b+1):
        if i >= 1:
            print(i)
Buggy python submission (verdict: Runtime Error):
N, x = map(int, input().split())
alist = list(map(int, input().split()))
alist.sort()
 
def counter(x, alist):
  count = 0
  while x > 0:
      if alist:
          tmp = alist.pop(0)
          x = x - tmp
          if x == 0:
              return count + 1
          elif x > 0:
              count += 1
          else:
              return count
      else:
          return count - 1
print(counter(x, alist))
N, x = map(int, input().split())
alist = list(map(int, input().split()))
alist.sort()

def counter(x, alist):
  count = 0
  while x > 0:
      if alist:
          tmp = alist.pop(0)
          x = x - tmp
          if x == 0:
              return count + 1
          elif x > 0:
              count += 1
          else:
              return count
      else:
          return count - 1
print(counter(x, alist))

Fixed submission:
N, x = map(int, input().split())
alist = list(map(int, input().split()))
alist.sort()
 
def counter(x, alist):
  count = 0
  while x > 0:
      if alist:
          tmp = alist.pop(0)
          x = x - tmp
          if x == 0:
              return count + 1
          elif x > 0:
              count += 1
          else:
              return count
      else:
          return count - 1
print(counter(x, alist))
Buggy python submission (verdict: Runtime Error):
import math

def lcm(a, b):
    return a * b // math.gcd (a, b)

sl, tl = map(int, input().split())
s = input()
t = input()

m = lcm(sl,tl)

mps = m // sl
mpt = m // tl

tmp = 0
width = max(mps,mpt)
ans = True

while tmp < m:
    if tmp % mps == 0 and tmp % mpt == 0:
        if s[tmp//mps] != t[tmp//mpt]:
            ans = False
            break
    tmp += width

if ans:
    print(m)
else:
    print(-1)

Fixed submission:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

def lcm(a, b):
    return a * b // gcd (a, b)

sl, tl = map(int, input().split())
s = input()
t = input()

m = lcm(sl,tl)

mps = m // sl
mpt = m // tl

tmp = 0
width = max(mps,mpt)
ans = True

while tmp < m:
    if tmp % mps == 0 and tmp % mpt == 0:
        if s[tmp//mps] != t[tmp//mpt]:
            ans = False
            break
    tmp += width

if ans:
    print(m)
else:
    print(-1)

Buggy python submission (verdict: Runtime Error):
import math

def lcm(a, b):
    return a * b // math.gcd (a, b)

sl, tl = map(int, input().split())
s = input()
t = input()

# 最小公倍数
m = lcm(sl,tl)

# sとtの幅
mps = m // sl
mpt = m // tl

tmp = 0
width = max(mps,mpt)
ans = True

while tmp < m:
    if tmp % mps == 0 and tmp % mpt == 0:
        if s[tmp//mps] != t[tmp//mpt]:
            ans = False
            break
    tmp += width

if ans:
    print(m)
else:
    print(-1)

Fixed submission:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

def lcm(a, b):
    return a * b // gcd (a, b)

sl, tl = map(int, input().split())
s = input()
t = input()

m = lcm(sl,tl)

mps = m // sl
mpt = m // tl

tmp = 0
width = max(mps,mpt)
ans = True

while tmp < m:
    if tmp % mps == 0 and tmp % mpt == 0:
        if s[tmp//mps] != t[tmp//mpt]:
            ans = False
            break
    tmp += width

if ans:
    print(m)
else:
    print(-1)
Buggy python submission (verdict: Runtime Error):
from collections import Counter

n = int(input())
v = list(map(int, input().split(' ')))

v1 = v[::2]
v2 = v[1::2]

counter = Counter(v1)
x1 = counter.most_common()[0][0]
counter = Counter(v2)
x2 = counter.most_common()[0][0]

x1_count = v1.count(x1)
x2_count = v2.count(x2)

n = n//2
ans = (n - x1_count) + (n - x2_count)
print(ans)

Fixed submission:
s = list(input())
ans = ''
for i in range(len(s)):
    if s[i] == '1':
        ans += '9'
    elif s[i] == '9':
        ans += '1'
    else:
        ans += s[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(raw_input())
a = map(int,raw_input().split(' '))
b = []
for i in range(n):
    if i%2 == 0:
        b.append(a[i])
    else:
        b.insert(0,a[i])
if n%2 != 0:
    b.reverse()
s = str(b[0])
for i in range(n-1):
    s += ' ' + str(b[i+1])
print s

Fixed submission:
a,b,c = map(int,raw_input().split())
print(min([a+b,b+c,c+a]))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(raw_input())
a = map(int,raw_input().split(' '))
b = []
for i in range(n):
    if i%2 == 0:
        b.append(a[i])
    else:
        b.insert(0,a[i])
if n%2 != 0:
    b.reverse()
s = str(b[0])
for i in range(n-1):
    s += ' ' + str(b[i+1])
print s

Fixed submission:
n = int(raw_input())
a = map(int,raw_input().split(' '))
b = [0 for i in range(int(round(n/2.)))]
b_r = [0 for i in range(n//2)]
for i in range(n):
    if i%2 == 0:
        b[i/2] = a[i]
    else:
        b_r[i/2] = a[i]

n2 = int(round(n/2.))
if n%2 == 0:
    s = str(b_r[n2-1])
    for i in range(1,n):
        if i < n2:
            s += ' ' + str(b_r[n2-1-i])
        else:
            s += ' ' + str(b[i-n2])
    print s
else:
    s = str(b[n2-1])
    for i in range(1,n):
        if i < n2:
            s += ' ' + str(b[n2-1-i])
        else:
            s += ' ' + str(b_r[i-n2])
    print s
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
T = list(map(int,input().split()))
A = list(map(int,input().split()))
count = 0
Tmax = 0
Amax = 0
T2 = []
A2 = []

for i in range(N):
    if T[i] > Tmax:
        T2.append([T[i]])
        Tmax = T[i]
    else:
        T2.append([j for j in range(1,Tmax+1)])
    if A[N-1-i] > Amax:
        A2.append([A[N-1-i]])
        Amax = A[N-1-i]
    else:
        A2.append([j for j in range(1,Amax+1)])

s = 1

for i in range(N):
    count = 0
    for j in T2[i]:
        for z in A2[N-1-i]:
            if j == z:
                count += 1
    if count == 0:
        break
    else:
        s = s * count
        s = s % (10**9+7)

if count == 0:
    print('0')
else:
    print(s)

Fixed submission:
N = int(input())
T = list(map(int,input().split()))
A = list(map(int,input().split()))
A.append(1)
count = 0
Tmax = 1
Amax = 1
T2 = [0] * N
A2 = [0] * N
ans = 1

for i in range(N):
    if T[i] > Tmax and A[i] > A[i+1] and T[i] != A[i]:
        ans = 0
        break
    elif T[i] > Tmax and A[i] == A[i+1] and T[i] > A[i]:
        ans = 0
        break
    elif A[i] > A[i+1] and T[i] == Tmax and A[i] > T[i]:
        ans = 0
        break
    elif T[i] > Tmax and A[i] > A[i+1] and T[i] == A[i]:
        count = 1
        Tmax = T[i]
        Amax = A[i+1]
    elif T[i] > Tmax and A[i] == A[i+1] and T[i] <= A[i]:
        count = 1
        Tmax = T[i]
    elif A[i] > A[i+1] and T[i] == Tmax and A[i] <= Tmax:
        count = 1
        Amax = A[i+1]
    else:
        count = min(A[i],T[i])
    ans *= count
    ans = ans % (10**9+7)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
vote = [1,1]
for i in range(N):
    ratio = list(map(int, input().split()))
    for j in range(2):
        while(vote[j] % ratio[j] != 0):
            vote[j] += 1
    if vote[0] * ratio[1] < vote[1] * ratio[0]:
        while (vote[0] * ratio[1] != vote[1] * ratio[0]):
            vote[0] += 1;
    if vote[0] * ratio[1] > vote[1] * ratio[0]:
        while (vote[0] * ratio[1] != vote[1] * ratio[0]):
            vote[1] += 1;
print(vote[0] + vote[1])

Fixed submission:
N = int(input())
vote = [1,1]
for i in range(N):
    ratio = list(map(int, input().split()))
    for j in range(2):
        while(vote[j] % ratio[j] != 0):
            vote[j] += 1
    if vote[0] * ratio[1] < vote[1] * ratio[0]:
        vote[0] = vote[1] // ratio[1] * ratio[0];
    if vote[0] * ratio[1] > vote[1] * ratio[0]:
        vote[1] = vote[0] // ratio[0] * ratio[1];
print(vote[0] + vote[1])
Buggy python submission (verdict: Runtime Error):
import math
n, m = map(int, input().split())
S = input()
T = input()
L = (n*m) // math.gcd(n, m)
c = 0

xs = L//n
xt = L//m
step = xs * xt
for i in range(0, L, step):
    if S[i//xs] != T[i//xt]:
        print(-1)
        exit()
print(L)


Fixed submission:
def gcd(x, y):
    while y > 0:
        x, y = y, x%y
    return x

n, m = map(int, input().split())
S = input()
T = input()
L = (n*m) // gcd(n, m)
c = 0

xs = L//n
xt = L//m
step = xs * xt

for i in range(0, L, step):
    if S[i//xs] != T[i//xt]:
        print(-1)
        exit()
print(L)
Buggy python submission (verdict: Runtime Error):
N = int(input())

p = []

for i in range(N):
    X1, Y1, H1 = map(int, input().split())
    if H1 != 0:
        p.append([X1, Y1, H1])

if len(p) == 1:
    print(p[0][0], p[0][1], p[0][2])
    exit()


for i in range(101):
    for j in range(101):
        h = -1
        fg = True
        for t in p:
            if h == -1:
                h = t[2] + abs(i - t[0]) + abs(j - t[1])

            else:
                ht = t[2] + abs(i - t[0]) + abs(j - t[1])
                if h == ht:
                    h = ht
                else:
                    fg = False
                    break

        if fg:
            print(i, j, h)
            exit()










Fixed submission:
N = int(input())
if N == 1:
    print('Hello World')
else:
    A = int(input())
    B = int(input())
    print(A+B)
Buggy python submission (verdict: Runtime Error):
import sys

INF = 10**9+7

stdin = sys.stdin
def na(): return map(int, stdin.readline().split())
def ns(): return stdin.readline().strip()
def nsl(): return list(stdin.readline().strip())
def ni(): return int(stdin.readline())
def nil(): return list(map(int, stdin.readline().split()))

n = ni()

a = nil()

a.sort()

ans = 0

for i in range(n):
    ans += a[-2-i*n]
print(ans)

Fixed submission:
import sys

INF = 10**9+7

stdin = sys.stdin
def na(): return map(int, stdin.readline().split())
def ns(): return stdin.readline().strip()
def nsl(): return list(stdin.readline().strip())
def ni(): return int(stdin.readline())
def nil(): return list(map(int, stdin.readline().split()))

n = ni()

a = nil()
a.sort()
ans = 0

for i in range(n):
    ans += a[(-i*2) - 2]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys

INF = 1000000007

stdin = sys.stdin
def na(): return map(int, stdin.readline().split())
def nal(): return list(map(int, stdin.readline().split()))
def ns(): return stdin.readline().strip()
def ni(): return int(stdin.readline())

N = ni()
x = nal()
x.insert(0, 0)

n = 1
c = 0
a = 1

for i in range(N):
    t = x[i+1] - x[i] - 1
    c = c+1
    if(t > 1):
        n = n+t-1
    elif(t == 0):
        n = n-1
        if(n == -1):
            n = 1
            a = a*c
            c = c-1

for i in range(1, c+1):
    a = a*i

print(a % INF)

Fixed submission:
import sys

INF = 1000000007

stdin = sys.stdin
def na(): return map(int, stdin.readline().split())
def nal(): return list(map(int, stdin.readline().split()))
def ns(): return stdin.readline().strip()
def ni(): return int(stdin.readline())

N = ni()
x = nal()
x.insert(0, 0)

n = 1
c = 0
a = 1

for i in range(N):
    t = x[i+1] - x[i] - 1
    c = c+1
    if(t > 1):
        n = n+t-1
    elif(t == 0):
        n = n-1
        if(n == -1):
            n = 1
            a = a*c%INF
            c = c-1

for i in range(1, c+1):
    a = a*i%INF

print(a % INF)
Buggy python submission (verdict: Time Limit Exceeded):
import sys

stdin = sys.stdin
def na(): return map(int, stdin.readline().split())
def ns(): return stdin.readline().strip()
def ni(): return int(stdin.readline())

n = ni()
a = na()
lst = []
c=0
for i in a:
    if(i not in lst):
        lst.append(i)
        c = c+1

if(c%2 == 0):c=c-1

print(c)


Fixed submission:
import sys

stdin = sys.stdin
def na(): return map(int, stdin.readline().split())
def ns(): return stdin.readline().strip()
def ni(): return int(stdin.readline())

n = ni()
a = na()
st = set()
for i in a:
    if(i not in st):
        st.add(i)

c = len(st)
if(c%2 == 0):c=c-1

print(c)
Buggy python submission (verdict: Runtime Error):
import numpy as np


def main():
    n = int(input())
    a = [int(x) for x in input().split()]

    best, solution = int(-1e10), []
    for p in range(2):
        c = a.copy()

        indexes = list(range(p, n, 2))
        if len(indexes) == 0:
            continue

        maks = max([c[i] for i in indexes])
        pick = next((i for i in indexes if c[i] == maks))
        chosen = set([pick] if maks <= 0 else [i for i in indexes if c[i] > 0])
        is_chosen = [(i in chosen) for i in range(n)]

        tot, res = sum([c[i] for i in chosen]), []
        for i in reversed(range(n)):
            if not is_chosen[i]:
                if i == 0 or i + 1 == len(c):
                    res += [i]
                    del c[i], is_chosen[i]
                elif is_chosen[i - 1] == is_chosen[i + 1]:
                    res += [i]
                    c[i - 1] += c[i + 1]
                    del c[i + 1], c[i], is_chosen[i + 1], is_chosen[i]

        if tot > best:
            while len(c) > 1 and not is_chosen[c[0]]:
                del c[0], is_chosen[0]
            while len(c) > 1 and not is_chosen[c[-1]]:
                del c[-1], is_chosen[-1]
            best, solution = tot, np.array(res) + 1

    print(best, len(solution), *solution, sep='\n')


if __name__ == '__main__':
    main()


Fixed submission:
import numpy as np


def main():
    n = int(input())
    a = [int(x) for x in input().split()]

    best, solution = int(-1e10), []
    for p in range(2):
        c = a.copy()

        indexes = list(range(p, n, 2))
        if len(indexes) == 0:
            continue

        maks = max([c[i] for i in indexes])
        pick = next((i for i in indexes if c[i] == maks))
        chosen = set([pick] if maks <= 0 else [i for i in indexes if c[i] > 0])
        is_chosen = [(i in chosen) for i in range(n)]

        tot, res = sum([c[i] for i in chosen]), []
        for i in reversed(range(n)):
            if not is_chosen[i]:
                if i == 0 or i + 1 == len(c):
                    res += [i]
                    del c[i], is_chosen[i]
                elif is_chosen[i - 1] == is_chosen[i + 1]:
                    res += [i]
                    c[i - 1] += c[i + 1]
                    del c[i + 1], c[i], is_chosen[i + 1], is_chosen[i]

        for end in (-1, 0):
            while len(c) > 1 and not is_chosen[end]:
                res += [end]
                del c[end], is_chosen[end]

        if tot > best:
            best, solution = tot, np.array(res) + 1

    print(best, len(solution), *solution, sep='\n')


if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    n = int(input())
    res = 0

    for (a, k) in [[int(x) for x in input().split()] for _ in range(n)]:
        while a >= k:
            m, u, v = a // k, (a - k * m), (m + 1)
            if a % k == 0 or u % v == 0:
                res ^= m
                break
            x = (u // v)
            a -= (x + 1) * v

    print('Takahashi' if res != 0 else 'Aoki')


if __name__ == "__main__":
    main()


Fixed submission:
def main():
    n, m = map(int, input().split())
    print(compute(min(n, m), max(n, m)))


def compute(n, m):
    if n == 1 and m == 1:
        return 1
    if n == 1:
        return max(0, m - 2)
    return (n - 2) * (m - 2)


if __name__ == "__main__":
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    n = int(input())
    res = 0

    for (a, k) in [[int(x) for x in input().split()] for _ in range(n)]:
        while a >= k:
            m, u = a // k, (a - k * m)
            if a % k == 0 or (a % k) % (m + 1) == 0:
                res ^= m
                break
            x = u // (m + 1)
            a -= (x + 1) * (m + 1)

    print('Takahashi' if res != 0 else 'Aoki')


if __name__ == "__main__":
    main()


Fixed submission:
def main():
    n = int(input())
    res = 0
    for (a, k) in [map(int, input().split()) for _ in range(n)]:
        while a >= k:
            m = a // k
            if a % k == 0:
                res ^= m
                break
            x = (a - k * m - 1) // (m + 1)
            a -= max(1, x) * (m + 1)
    print('Takahashi' if res != 0 else 'Aoki')


if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
from math import gcd
from functools import reduce

N,X = map(int, input().split())
xn = list(map(lambda x: int(x)-X, input().split()))
print(reduce(gcd, xn))


Fixed submission:
from fractions import gcd
from functools import reduce

N,X = map(int, input().split())
xn = list(map(lambda x: int(x)-X, input().split()))
print(abs(reduce(gcd, xn)))
Buggy python submission (verdict: Runtime Error):
N,i = map(int,input())
print(N-i+1)


Fixed submission:
N,i = map(int,input().split())
print(N-i+1)
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
A=list(map(int,input().split()))
aa = [0]*(N+1)
tbl = [0]*M
cnt = 0
for i in range(N):
  aa[i+1] = aa[i]+A[i]
  am = aa[i+1] % M
  tbl[am] += 1
  cnt += tbl[am]-1
am = aa[i+1] % M
tbl[am] += 1
cnt += tbl[am]-1
print(int(cnt))


Fixed submission:
from collections import Counter
N,M=map(int,input().split())
A=list(map(int,input().split()))
A.insert(0,0)
cnt = Counter()
for i in range(N): A[i+1] += A[i]
for i in range(N+1): cnt[A[i]%M] += 1
print(sum(n*(n-1)//2 for n in cnt.values()))

Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
A=list(map(int,input().split()))
aa = [0]*(N+1)
for i in range(N):
  aa[i+1] = aa[i]+A[i]
cnt = 0
for l in range(N):
  for r in range(l,N):
    if (aa[r+1]-aa[l])%M == 0:
      cnt += 1
print(cnt)


Fixed submission:
from collections import Counter
N,M=map(int,input().split())
A=list(map(int,input().split()))
A.insert(0,0)
cnt = Counter()
for i in range(N): A[i+1] += A[i]
for i in range(N+1): cnt[A[i]%M] += 1
print(sum(n*(n-1)//2 for n in cnt.values()))
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import permutations
N = int(input())
rn = [list(map(int,input().split())) for _ in range(N)]
bn = [list(map(int,input().split())) for _ in range(N)]
ans = 0
for p in permutations(range(N)):
  ans = max(ans, sum([1 if rn[i][0] < bn[p[i]][0] and rn[i][1] < bn[p[i]][1] else 0 for i in range(N)]))
print(ans)


Fixed submission:
N = int(input())
rn = [[True]+list(map(int,input().split())) for _ in range(N)]
bn = sorted([list(map(int,input().split())) for _ in range(N)])
rn.sort(key=lambda x: -x[2])
for bp in bn:
  bx,by = bp
  for rp in rn:
    f,rx,ry = rp
    if f and rx<bx and ry<by:
      rp[0] = False
      break
print(sum([0 if rp[0] else 1 for rp in rn]))
Buggy python submission (verdict: Runtime Error):
from itertools import combinations
N = int(input())
d = [0]*128
for _ in range(N): dic[ord(input()[0])] += 1
print(sum([d[ord(p0)]*d[ord(p1)]*d[ord(p2)] for p0,p1,p2 in combinations('MARCH', 3)]))


Fixed submission:
from itertools import combinations
from collections import Counter
N = int(input())
S = Counter()
for _ in range(N):
  S[input()[0]] += 1
print(sum([S[p0]*S[p1]*S[p2] for p0,p1,p2 in combinations('MARCH', 3)]))
quit()

Buggy python submission (verdict: Runtime Error):
from itertools import combinations
N = int(input())
S = Counter()
for _ in range(N):
  S[input()[0]] += 1
print(sum([S[p0]*S[p1]*S[p2] for p0,p1,p2 in combinations('MARCH', 3)]))

Fixed submission:
from itertools import combinations
from collections import Counter
N = int(input())
S = Counter()
for _ in range(N):
  S[input()[0]] += 1
print(sum([S[p0]*S[p1]*S[p2] for p0,p1,p2 in combinations('MARCH', 3)]))
quit()
Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
px = [0 for _ in range(N)]
py = [0 for _ in range(N)]
for i in range(N):
  px[i],py[i] = list(map(int,input().split()))
a=10**20
for xi in range(N):
  for xj in range(xi+1,N):
    for yi in range(N):
      for yj in range(yi+1,N):
        x0,x1,y0,y1=px[xi],px[xj],py[yi],py[yj]
        dx,dy = abs(x0-x1),abs(y0-y1)
        if a < dx*dy: continue
        cnt = 0
        for i in range(N):
          if (x0-px[i])*(px[i]-x1)>=0 and (y0-py[i])*(py[i]-y1)>=0: cnt += 1
        if cnt >= K: a = min(a, dx*dy)
print(a)


Fixed submission:
N,K=map(int,input().split())
p = sorted([[int(_) for _ in input().split()] for i in range(N)])
a=10**20
for xi in range(N-K+1):
  for xj in range(xi+K-1,N):
    q = sorted(y for x,y in p[xi:xj+1])
    for yi in range(xj-(xi+K-1)+1):
      yj = yi+K-1 #Is the number always K?
      if q[yi]<=p[xi][1] and p[xj][1]<=q[yj]:
        a = min(a, (p[xi][0]-p[xj][0])*(q[yi]-q[yj]))
print(a)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
N,K=map(int,input().split())
px = [0 for _ in range(N)]
py = [0 for _ in range(N)]
for i in range(N):
  px[i],py[i] = list(map(int,input().split()))
a=10**20
for c in combinations(range(N), min(K,4)):
  px_ = [px[i] for i in c]
  py_ = [py[i] for i in c]
  px0,px1 = min(px_),max(px_)
  py0,py1 = min(py_),max(py_)
  dx,dy = px1-px0,py1-py0
  if a < dx*dy: continue
  cnt = 0
  for i in range(N):
    if px0<=px[i] and px[i]<=px1 and py0<=py[i] and py[i]<=py1:
      cnt += 1
  if K <= cnt: a = min(a, dx*dy)
print(a)


Fixed submission:
N,K=map(int,input().split())
p = sorted([[int(_) for _ in input().split()] for i in range(N)])
a=10**20
for xi in range(N-K+1):
  for xj in range(xi+K-1,N):
    q = sorted(y for x,y in p[xi:xj+1])
    for yi in range(xj-(xi+K-1)+1):
      yj = yi+K-1 #Is the number always K?
      if q[yi]<=p[xi][1] and p[xj][1]<=q[yj]:
        a = min(a, (p[xi][0]-p[xj][0])*(q[yi]-q[yj]))
print(a)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
N,K=map(int,input().split())
px = [0 for _ in range(N)]
py = [0 for _ in range(N)]
for i in range(N):
  px[i],py[i] = list(map(int,input().split()))
a=10**20
for c in combinations(range(N), K):
  px_ = [px[i] for i in c]
  py_ = [py[i] for i in c]
  dx = max(px_)-min(px_)
  dy = max(py_)-min(py_)
  a  = min(a, dx*dy)
print(a)


Fixed submission:
N,K=map(int,input().split())
p = sorted([[int(_) for _ in input().split()] for i in range(N)])
a=10**20
for xi in range(N-K+1):
  for xj in range(xi+K-1,N):
    q = sorted(y for x,y in p[xi:xj+1])
    for yi in range(xj-(xi+K-1)+1):
      yj = yi+K-1 #Is the number always K?
      if q[yi]<=p[xi][1] and p[xj][1]<=q[yj]:
        a = min(a, (p[xi][0]-p[xj][0])*(q[yi]-q[yj]))
print(a)