Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
def main():
  n, d, mods = 0, 1, [1]+[0]*2019
  for i, j in enumerate(reversed(input())):
    n = (n+int(j)*10**i%2019)%2019
    mods[n] += 1
  print(sum([i*(i-1)//2 for i in mods]))
main()

Fixed submission:
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, p)
  n %= p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Runtime Error):
def main():
  n, d, mods = 0, 1, [1]+[0]*2019
  # for i in reversed(input()):
  #   n = (n+int(i)*d)%2019
  #   d = d*10%2019
  #   mods[n] += 1
  for i, j in enumerate(reversed(s)):
  n = (n+int(j)*10**i%2019)%2019
  mods[n] += 1
  print(sum([i*(i-1)//2 for i in mods]))
main()

Fixed submission:
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, p)
  n %= p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Runtime Error):
s = input()
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, 2019)
  n %= 2019
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Fixed submission:
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, p)
  n %= p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n = (n+int(j)*10**i)%p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Fixed submission:
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, p)
  n %= p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
ans = 0
for i in range(len(s)-3):
  j = i + 3
  while(j <= len(s)):
    if int(s[i:j+1]) % 2019 == 0:
      ans += 1
      j += 4
    else:
      j += 1
print(ans)

Fixed submission:
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, p)
  n %= p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
ans = 0
for i in range(0, len(s)-3):
  for j in range(i+3, len(s)):
    if int(s[i:j+1]) % 2019 == 0:
      ans += 1
      j += 3
print(ans)

Fixed submission:
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, p)
  n %= p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
ans = 0
for i in range(0, len(s)-3):
  for j in range(i+3, len(s)):
    if int(s[i:j+1]) % 2019 == 0:
      ans += 1
print(ans)

Fixed submission:
s = input()
p = 2019
n = 0
ans = 0
mods = [0]*p
mods[0] = 1
for i, j in enumerate(reversed(s)):
  n += int(j)*pow(10, i, p)
  n %= p
  mods[n] += 1
for i in mods:
  ans += i*(i-1)//2
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
for i in range(1,n+1):
  print(a.count(i))

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
ans = [0]*n
for i in a:
  ans[i-1] += 1
for i in ans:
  print(i)
Buggy python submission (verdict: Time Limit Exceeded):
import fractions
k = int(input())
ans = k**3 - (k-1)**3
for a in range(2,k+1):
  for b in range(2,k+1):
    for c in range(2,k+1):
      ans += fractions.gcd(a, fractions.gcd(b, c))
print(ans)

Fixed submission:
import math
k = int(input())
ans = k**3 - (k-1)**3
for a in range(2,k+1):
  for b in range(2,k+1):
    tmp = math.gcd(a,b)
    for c in range(2,k+1):
      ans += math.gcd(tmp, c)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import fractions
k = int(input())
ans = 0
for a in range(1,k+1):
  for b in range(1,k+1):
    for c in range(1,k+1):
      ans += fractions.gcd(a, fractions.gcd(b, c))
print(ans)

Fixed submission:
import math
k = int(input())
ans = k**3 - (k-1)**3
for a in range(2,k+1):
  for b in range(2,k+1):
    tmp = math.gcd(a,b)
    for c in range(2,k+1):
      ans += math.gcd(tmp, c)
print(ans)

Buggy python submission (verdict: Runtime Error):
import fractions
f=fractions.gcd(a,b)
k = int(input())
ans = 0
for a in range(1,k+1):
  for b in range(1,k+1):
    for c in range(1,k+1):
      ans += fractions.gcd(a, fractions.gcd(b, c))
print(ans)

Fixed submission:
import math
k = int(input())
ans = k**3 - (k-1)**3
for a in range(2,k+1):
  for b in range(2,k+1):
    tmp = math.gcd(a,b)
    for c in range(2,k+1):
      ans += math.gcd(tmp, c)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math
k = int(input())
ans = 0
for a in range(1,k+1):
  for b in range(1,k+1):
    for c in range(1,k+1):
      ans += math.gcd(a, math.gcd(b, c))
print(ans)

Fixed submission:
import math
k = int(input())
ans = k**3 - (k-1)**3
for a in range(2,k+1):
  for b in range(2,k+1):
    tmp = math.gcd(a,b)
    for c in range(2,k+1):
      ans += math.gcd(tmp, c)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()
ans = 0
for i in range(n-2):
  for j in range(i+1,n-1):
    for k in range(j+1,n):
      if s[i] != s[j] and s[j] != s[k] and s[k] != s[i] and j-i != k-j:
        ans += 1
print(ans)

Fixed submission:
import math
n = int(input())
s = input()
r = s.count("R")
g = s.count("G")
b = s.count("B")
ans = r * g * b
for i in range(n-2):
  for j in range(i+1,math.ceil((i+n)/2)):
    if s[i] != s[j] and s[j] != s[j*2-i] and s[j*2-i] != s[i]:
      ans -= 1
print(ans)
Buggy python submission (verdict: Runtime Error):
a = int(input())
if a>=30:
  print("Yes")
else
  print("No")

Fixed submission:
a = int(input())
if a>=30:
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
if input() => 30:
    print("Yes")
else:
    print("No")

Fixed submission:
if int(input()) >= 30:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
if input() >=30:
    print("Yes")
else:
    print("No")

Fixed submission:
if int(input()) >= 30:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
nums = input().split(' ')
product = int(nums[0]) * int(num[1])
if product % 2 == 0:
  print(Even)
else:
  print(Odd)

Fixed submission:
nums = input().split(' ')
product = int(nums[0]) * int(nums[1])
if product % 2 == 0:
    print('Even')
else:
    print('Odd')
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
P=list(map(int,input().split()))
count=0
for i in range(1,N):
    if P[i]==min(P[0:i+1]):
        count+=1
print(count+1)


Fixed submission:
N=int(input())
P=list(map(int,input().split()))
count=0
min=2*10**5
for i in range(N):
    if P[i]<=min:
        min=P[i]
        count+=1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
P=list(map(int,input().split()))
count=0
for i in range(1,N):
    new_P=P[0:i+1]
    m=min(new_P)
    if P[i]==m:
        count+=1
print(count+1)


Fixed submission:
N=int(input())
P=list(map(int,input().split()))
count=0
min=2*10**5
for i in range(N):
    if P[i]<=min:
        min=P[i]
        count+=1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
P=list(map(int,input().split()))
count=0
for i in range(1,N):
    new_P=P[0:i+1]
    m=min(new_P)
    if P[i]<=m:
        count+=1
print(count+1)


Fixed submission:
N=int(input())
P=list(map(int,input().split()))
count=0
min=2*10**5
for i in range(N):
    if P[i]<=min:
        min=P[i]
        count+=1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
P=list(map(int,input().split()))
count=0
l=[]
for i in range(1,N):
    num = 0
    for j in range(i):
        if P[i]<=P[j]:
            num+=1
        else:
            continue
    if num==i:
        l.append(l)
print(len(l)+1)


Fixed submission:
N=int(input())
P=list(map(int,input().split()))
count=0
min=2*10**5
for i in range(N):
    if P[i]<=min:
        min=P[i]
        count+=1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
P=list(map(int,input().split()))
count=0
for i in range(1,N):
    num = 0
    j=0
    while j<i and  P[i]<=P[j]:
        num+=1
        j+=1
    if num==i:
        count+=1
print(count+1)


Fixed submission:
N=int(input())
P=list(map(int,input().split()))
count=0
min=2*10**5
for i in range(N):
    if P[i]<=min:
        min=P[i]
        count+=1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
P=list(map(int,input().split()))
count=0
for i in range(1,N):
    num = 0
    for j in range(i):
        if P[i]<=P[j]:
            num+=1
        else:
            continue
    if num==i:
        count+=1
print(count+1)


Fixed submission:
N=int(input())
P=list(map(int,input().split()))
count=0
min=2*10**5
for i in range(N):
    if P[i]<=min:
        min=P[i]
        count+=1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
P=list(map(int,input().split()))
count=0
for i in range(1,N):
    num = 0
    for j in range(i):
        if P[i]<=P[j]:
            num+=1
    if num==i:
        count+=1
print(count+1)


Fixed submission:
N=int(input())
P=list(map(int,input().split()))
count=0
min=2*10**5
for i in range(N):
    if P[i]<=min:
        min=P[i]
        count+=1
print(count)
Buggy python submission (verdict: Runtime Error):

num = int(input())
if num % 2 == 0:	
     print(n/2)
else:
     print(n/2+1)

Fixed submission:
num = int(input())
if num % 2 == 0:	
    print(int(num/2))
else:
    print(int(num/2+1))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
t_all, a_all = 0, 0
for i in range(n):
    t, a = map(int, input().split())
    if i == 0:
        t_all += t
        a_all += a
    else:
        diff1, diff2 = 0, 0
        diff1 = t_all // t if t_all % t == 0 else t_all // t + 1
        diff2 = a_all // a if a_all % a == 0 else a_all // a + 1
        max_diff = max(diff1, diff2)
        for x in range(1, max_diff+1):
            if t * x >= t_all and a * x >= a_all:
                t_all = t * x
                a_all = a * x
                break
print(t_all + a_all)
        


Fixed submission:
n = int(input())
t_all, a_all = 0, 0
for i in range(n):
    t, a = map(int, input().split())
    if i == 0:
        t_all = t
        a_all = a
    else:
        if t >= t_all and a >= a_all:
            t_all, a_all = t, a
        else:
            diff1, diff2 = 0, 0
            diff1 = t_all // t if t_all % t == 0 else t_all // t + 1
            diff2 = a_all // a if a_all % a == 0 else a_all // a + 1
            max_diff = max(diff1, diff2)
            t_all = t * max_diff
            a_all = a * max_diff
print(t_all + a_all)
Buggy python submission (verdict: Time Limit Exceeded):
n, a = map(int, input().split())
x = [int(i) for i in input().split()]

all_perms = []

def per(index, perm):
    if index == n:
        all_perms.append(perm)
        return
    perm1 = [i for i in perm]
    per(index+1, perm1)

    perm2 = [i for i in perm]
    perm2.append(x[index])
    per(index+1, perm2)


per(0, [])
cnt = 0
for perm in all_perms:
    if len(perm) == 0:
        continue
    average = sum(perm) / len(perm)
    if average == a:
        cnt += 1

print(cnt)


Fixed submission:
n, a = map(int, input().split())
x = [int(i)-a for i in input().split()]

dp = {0: 1}

for i in x:
    tmp = list(dp.items())
    for key, value in tmp:
        dp[key+i] = dp.get(key+i, 0) + value
print(dp[0] - 1)
Buggy python submission (verdict: Time Limit Exceeded):
import fractions
K = int(input())
ans = 0
for i in range(1,K+1):
    for j in range(1,K+1):
        g = fractions.gcd(i,j)
        for k in range(1,K+1):
            ans += fractions.gcd(g,k)
print(ans)

Fixed submission:
import fractions
K = int(input())
ans = 0
dp = []
for i in range(0,K+1):
    dpp = []
    for j in range(0,K+1):
        dpp.append(0)
    dp.append(dpp)
def dpgcd(a,b):
    if dp[a][b] != 0:
        return dp[a][b]
    else:
        gg = fractions.gcd(a,b)
        dp[a][b] = gg
        dp[b][a] = gg
        return gg
for i in range(0,K):
    for j in range(0,K):
        g = dpgcd(i+1,j+1)
        for k in range(0,K):
            ans += dpgcd(g,k+1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import fractions
K = int(input())
def gcd3(a,b,c):
    return fractions.gcd(fractions.gcd(a,b),c)
ans = 0
for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            ans += gcd3(i,j,k)
print(ans)

Fixed submission:
import fractions
K = int(input())
ans = 0
dp = []
for i in range(0,K+1):
    dpp = []
    for j in range(0,K+1):
        dpp.append(0)
    dp.append(dpp)
def dpgcd(a,b):
    if dp[a][b] != 0:
        return dp[a][b]
    else:
        gg = fractions.gcd(a,b)
        dp[a][b] = gg
        dp[b][a] = gg
        return gg
for i in range(0,K):
    for j in range(0,K):
        g = dpgcd(i+1,j+1)
        for k in range(0,K):
            ans += dpgcd(g,k+1)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
S = input()
Q = int(input())
TFC = [input().split() for _ in range(Q)]
is_reversed = False
for tfc in TFC:
    if tfc[0] == '1':
        is_reversed = not is_reversed
    else:
        if tfc[1] == '1':
            if is_reversed:
                S += tfc[2]
            else:
                S = tfc[2] + S 
        else:
            if is_reversed:
                S = tfc[2] + S
            else:
                S += tfc[2]
if is_reversed:
    print(S[::-1])
else:
    print(S)

Fixed submission:
S = input()
Q = int(input())
TFC = [input().split() for _ in range(Q)]
is_reversed = False
head = ''
tail = ''
for tfc in TFC:
    if tfc[0] == '1':
        is_reversed = not is_reversed
    else:
        if tfc[1] == '1':
            if is_reversed:
                tail += tfc[2]
            else:
                head += tfc[2]
        else:
            if is_reversed:
                head += tfc[2]
            else:
                tail += tfc[2]
if is_reversed:
    print(tail[::-1]+S[::-1]+head)
else:
    print(head[::-1]+S+tail)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
Q = int(input())
TFC = [input().split() for _ in range(Q)]
for tfc in TFC:
    if tfc[0] == '1':
        S = S[::-1]
    else:
        if tfc[1] == '1':
            S = tfc[2]+S
        else:
            S = S+tfc[2]
print(S)

Fixed submission:
S = input()
Q = int(input())
TFC = [input().split() for _ in range(Q)]
is_reversed = False
head = ''
tail = ''
for tfc in TFC:
    if tfc[0] == '1':
        is_reversed = not is_reversed
    else:
        if tfc[1] == '1':
            if is_reversed:
                tail += tfc[2]
            else:
                head += tfc[2]
        else:
            if is_reversed:
                head += tfc[2]
            else:
                tail += tfc[2]
if is_reversed:
    print(tail[::-1]+S[::-1]+head)
else:
    print(head[::-1]+S+tail)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = input()
M = {}
for i in range(N):
    for j in range(i+1,N):
        for k in range(j+1,N):
            M[S[i]+S[j]+S[k]] = 1
print(len(M))

Fixed submission:
import string
N = int(input())
S = input()
L = []
for i in string.digits:
    for j in string.digits:
        for k in string.digits:
            L.append((i,j,k))
count = 0
for l in L:
    if l[0] not in S:
        continue
    S2 = S[S.index(l[0])+1:]
    if l[1] not in S2:
        continue
    S3 = S2[S2.index(l[1])+1:]
    if l[2] not in S3:
        continue
    count += 1
print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
MIN = float('inf')
for i in range(1,N):
    MIN = min(MIN,abs(sum(A[:i])-sum(A[i:])))
print(MIN)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
LEFT = A[0]
RIGHT = sum(A[1:])
MIN = abs(LEFT-RIGHT)
for i in range(1,N-1):
    LEFT += A[i]
    RIGHT -= A[i]
    MIN = min(MIN,abs(LEFT-RIGHT))
print(MIN)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect
N = int(input())
L = sorted(list(map(int,input().split())))
lenl = len(L)
count = 0
for i in range(0,lenl-2):
    for j in range(i+1,lenl-1):
        count += bisect.bisect_left(L[j+1:],L[i]+L[j])
print(count)

Fixed submission:
import bisect
N = int(input())
L = sorted(list(map(int,input().split())))
lenl = len(L)
count = 0
for i in range(0,lenl-2):
    for j in range(i+1,lenl-1):
        count += bisect.bisect_left(L,L[i]+L[j])-j-1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
L = sorted(list(map(int,input().split())))
lenl = len(L)
count = 0
for i in range(0,lenl-2):
    for j in range(i+1,lenl-1):
        for k in range(j+1,lenl):
            if L[i]+L[j] <= L[k]:
                break
            count += 1
print(count)

Fixed submission:
import bisect
N = int(input())
L = sorted(list(map(int,input().split())))
lenl = len(L)
count = 0
for i in range(0,lenl-2):
    for j in range(i+1,lenl-1):
        count += bisect.bisect_left(L,L[i]+L[j])-j-1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
import itertools
N = int(input())
L = list(map(int,input().split()))
C = itertools.combinations(L,3)
count = 0
for c in C:
    if c[0] < c[1]+c[2] and c[1] < c[0]+c[2] and c[2] < c[0]+c[1]:
        count += 1
print(count)

Fixed submission:
import bisect
N = int(input())
L = sorted(list(map(int,input().split())))
lenl = len(L)
count = 0
for i in range(0,lenl-2):
    for j in range(i+1,lenl-1):
        count += bisect.bisect_left(L,L[i]+L[j])-j-1
print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
H = list(map(int,input().split()))
maxc = 0
for i in range(N):
    count = 0
    for j in range(i,N):
        if j == i:
            continue
        if H[j] <= H[j-1]:
            count += 1
        else:
            break
    maxc = max(maxc,count)
print(maxc)

Fixed submission:
N = int(input())
H = list(map(int,input().split()))
dp = {N-1:0}
def f(n):
    if n in dp:
        return dp[n]
    if H[n] >= H[n+1]:
        dp[n] = 1+dp[n+1]
        return dp[n]
    else:
        dp[n] = 0
        return 0
maxc = 0
for i in range(N-1,-1,-1):
    maxc = max(maxc, f(i))
print(maxc)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
L = [i for i in range(1,N+1)]
print(sum(L[:-1]))

Fixed submission:
N = int(input())
print((N-1)*(1+N-1)//2)
Buggy python submission (verdict: Runtime Error):
N, X = list(map(int,input().split()))
L = list(map(int,input().split()))
prevd = 0
prevl = 0
ans = 0
for i in range(N+1):
    d = prevd + prevl
    if d <= X:
        ans += 1
    else:
        break
    prevd = d
    prevl = L[i]
print(ans)

Fixed submission:
N, X = list(map(int,input().split()))
L = list(map(int,input().split()))
prevd = 0
prevl = 0
ans = 0
for i in range(N+1):
    d = prevd + prevl
    if d <= X:
        ans += 1
    else:
        break
    if i != N:
        prevd = d
        prevl = L[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
A, B, K = list(map(int,input().split()))
L = [str(i) for i in range(100,1,-1) if A%i == 0 and B%i == 0]
if len(L) == 0:
  print(1)
else:
  print(L[K-1])


Fixed submission:
A, B, K = list(map(int,input().split()))
L = [i for i in range(100,0,-1) if A%i == 0 and B%i == 0]
print(L[K-1])
Buggy python submission (verdict: Time Limit Exceeded):
S = input()
count = 0
prev = -1
while True:
    count += 2*S.count('01')
    S = S.replace('01','')
    count += 2*S.count('10')
    S = S.replace('10','')
    if count == prev:
        break
    else:
        prev = count
print(count)

Fixed submission:
S = input()
print(min(2*S.count('0'),2*S.count('1')))

Buggy python submission (verdict: Time Limit Exceeded):
S = list(input())
count = 0
while True:
    if '1' not in S or '0' not in S:
        break
    L = len(S)
    for i in range(L):
        if i < L-1 and (S[i] == '0' and S[i+1] == '1' or S[i] == '1' and S[i+1] == '0'):
            count += 2
            S = S[:i] + S[i+2:]
            break
print(count)

Fixed submission:
S = input()
print(min(2*S.count('0'),2*S.count('1')))
Buggy python submission (verdict: Time Limit Exceeded):
S = input()
count = 0
while True:
    tmp = S.count('BW')
    if tmp == 0:
        break
    count += tmp
    S = S.replace('BW','WB')
print(count)

Fixed submission:
S = input()
ans = 0
wcount = 0
for i in range(len(S)):
    if S[i] == 'W':
        ans += i-wcount
        wcount += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
import math

N, X = list(map(int, input().split()))
x = list(map(int, input().split()))

ans = 0
for i in range(len(x)):
    ans = math.gcd(ans, abs(X - x[i]))

print(ans)

Fixed submission:
import fractions

N, X = list(map(int, input().split()))
x = list(map(int, input().split()))

ans = 0
for i in range(len(x)):
    ans = fractions.gcd(ans, abs(X - x[i]))

print(ans)
Buggy python submission (verdict: Runtime Error):
def f(n):
    if n == 0:
        return 0
    else:
        return n + f(n-1)
a, b = list(map(int,input().split()))
i1 = 1
i2 = 2
while True:
    if b - a == f(i2) - f(i1):
        break
    i1 += 1
    i2 += 1
print(f(i1) -a)

Fixed submission:
import sys
sys.setrecursionlimit(100000) 
def f(n):
    if n == 0:
        return 0
    else:
        return n + f(n-1)
a, b = list(map(int,input().split()))
i1 = 1
i2 = 2
while True:
    if b - a == f(i2) - f(i1):
        break
    i1 += 1
    i2 += 1
print(f(i1) -a)
Buggy python submission (verdict: Runtime Error):
class Com:
    def __init__(self, MAX = 10000000, MOD = 1000000000007):
        self.MAX = MAX
        self.MOD = MOD
        self._fac = [0]*MAX
        self._finv = [0]*MAX
        self._inv = [0]*MAX
        self._fac[0], self._fac[1] = 1, 1
        self._finv[0], self._finv[1] = 1, 1
        self._inv[1] = 1
        for i in range(2,self.MAX):
            self._fac[i] = self._fac[i - 1] * i % self.MOD
            self._inv[i] = self.MOD - self._inv[self.MOD%i] * (self.MOD // i) % self.MOD
            self._finv[i] = self._finv[i - 1] * self._inv[i] % self.MOD
    
    def com(self, n, k):
        if (n < k):
            return 0
        if (n < 0 or k < 0):
            return 0
        return self._fac[n] * (self._finv[k] * self._finv[n - k] % self.MOD) % self.MOD
n = int(input())
A = list(map(int,input().split()))
amax = max(A)
com = Com(amax+10)
ans = -1
MAX = -1
for a in A:
    if a == amax:continue
    if com.com(amax,a) > MAX:
        MAX = com.com(amax,a)
        ans = a
print(amax,ans)

Fixed submission:
n = int(input())
A = list(map(int,input().split()))
amax = max(A)
AA = sorted(A,key=lambda x: abs(amax/2-x))
if AA[0] == amax:
    print(amax,AA[1])
else:
    print(amax,AA[0])

Buggy python submission (verdict: Runtime Error):
class Com:
    def __init__(self, MAX = 1000000, MOD = 1000000007):
        self.MAX = MAX
        self.MOD = MOD
        self._fac = [0]*MAX
        self._finv = [0]*MAX
        self._inv = [0]*MAX
        self._fac[0], self._fac[1] = 1, 1
        self._finv[0], self._finv[1] = 1, 1
        self._inv[1] = 1
        for i in range(2,self.MAX):
            self._fac[i] = self._fac[i - 1] * i % self.MOD
            self._inv[i] = self.MOD - self._inv[self.MOD%i] * (self.MOD // i) % self.MOD
            self._finv[i] = self._finv[i - 1] * self._inv[i] % self.MOD
    
    def com(self, n, k):
        if (n < k):
            return 0
        if (n < 0 or k < 0):
            return 0
        return self._fac[n] * (self._finv[k] * self._finv[n - k] % self.MOD) % self.MOD
n = int(input())
A = list(map(int,input().split()))
amax = max(A)
com = Com()
ans = -1
MAX = -1
for a in A:
    if a == amax:continue
    if com.com(amax,a) > MAX:
        MAX = com.com(amax,a)
        ans = a
print(amax,ans)

Fixed submission:
n = int(input())
A = list(map(int,input().split()))
amax = max(A)
AA = sorted(A,key=lambda x: abs(amax/2-x))
if AA[0] == amax:
    print(amax,AA[1])
else:
    print(amax,AA[0])