Buggy python submission (verdict: Time Limit Exceeded):
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def mgcd(l):
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    for i in range(-(-len(l)//2)):
      temp = gcd(l[i], l[-i-1])
      if temp == 1:
        return 1
      else:
        new_l.append(temp)
    return mgcd(new_l)

n = int(input())
a = list(map(int, input().split()))
ans = 0
for i in range(n):
  a_gcd = mgcd(a[:i]+a[i+1:])
  if ans < a_gcd:
    ans = a_gcd
print(ans)

Fixed submission:
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def mgcd(l):
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    for i in range(-(-len(l)//2)):
      temp = gcd(l[i], l[-i-1])
      if temp == 1:
        return 1
      else:
        new_l.append(temp)
    return mgcd(new_l)

n = int(input())
a = list(map(int, input().split()))
a.sort()
ans1 = mgcd(a[1:])
min_gcd = 1001001001
min_idx = 0
for i in range(1,n):
  temp = gcd(a[0], a[i])
  if temp < min_gcd:
    min_gcd = temp
    min_idx = i
a.pop(min_idx)
ans2 = mgcd(a)
print(max(ans1, ans2))

Buggy python submission (verdict: Time Limit Exceeded):
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def multi_gcd(l):
  l = sorted(l)
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    if len(l)%2 == 0:
      for i in range(len(l)//2):
        temp_gcd = gcd(l[2*i], l[2*i+1])
        if temp_gcd == 1:
          return 1
        else:
          if temp_gcd not in new_l:
            new_l.append(temp_gcd)
      return multi_gcd(new_l)
    else:
      for i in range(len(l)//2):
        temp_gcd = gcd(l[2*i], l[2*i+1])
        if temp_gcd == 1:
          return 1
        else:
          if temp_gcd not in new_l:
            new_l.append(temp_gcd)
      new_l.append(l[-1])
      return multi_gcd(new_l)
     
n = int(input())
a = list(map(int, input().split()))
ans = 0
for i in range(n):
  a_gcd = multi_gcd(a[:i]+a[i+1:])
  if ans < a_gcd:
    ans = a_gcd
print(ans)

Fixed submission:
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def mgcd(l):
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    for i in range(-(-len(l)//2)):
      temp = gcd(l[i], l[-i-1])
      if temp == 1:
        return 1
      else:
        new_l.append(temp)
    return mgcd(new_l)

n = int(input())
a = list(map(int, input().split()))
a.sort()
ans1 = mgcd(a[1:])
min_gcd = 1001001001
min_idx = 0
for i in range(1,n):
  temp = gcd(a[0], a[i])
  if temp < min_gcd:
    min_gcd = temp
    min_idx = i
a.pop(min_idx)
ans2 = mgcd(a)
print(max(ans1, ans2))

Buggy python submission (verdict: Runtime Error):
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def multi_gcd(l):
  l = sorted(l, reverse=True)
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    if len(l)%2 == 0:
      for i in range(len(l)//2):
        temp_gcd = gcd(l[2*i], l[2*i+1])
        if temp_gcd == 1:
          return 1
        else:
          if temp_gcd not in new_l:
            new_l.append(temp_gcd)
      return multi_gcd(new_l)
    else:
      for i in range(len(l)//2):
        temp_gcd = gcd(l[2*i], l[2*i+1])
        if temp_gcd == 1:
          return 1
        else:
          if temp_gcd not in new_l:
            new_l.append()
      new_l.append(l[-1])
      return multi_gcd(new_l)
     
n = int(input())
a = list(map(int, input().split()))
ans = 0
for i in range(n):
  a_gcd = multi_gcd(a[:i]+a[i+1:])
  if ans < a_gcd:
    ans = a_gcd
print(ans)

Fixed submission:
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def mgcd(l):
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    for i in range(-(-len(l)//2)):
      temp = gcd(l[i], l[-i-1])
      if temp == 1:
        return 1
      else:
        new_l.append(temp)
    return mgcd(new_l)

n = int(input())
a = list(map(int, input().split()))
a.sort()
ans1 = mgcd(a[1:])
min_gcd = 1001001001
min_idx = 0
for i in range(1,n):
  temp = gcd(a[0], a[i])
  if temp < min_gcd:
    min_gcd = temp
    min_idx = i
a.pop(min_idx)
ans2 = mgcd(a)
print(max(ans1, ans2))

Buggy python submission (verdict: Time Limit Exceeded):
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def multi_gcd(l):
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    if len(l)%2 == 0:
      for i in range(len(l)//2):
        new_l.append(gcd(l[2*i], l[2*i+1]))
      return multi_gcd(new_l)
    else:
      for i in range(len(l)//2):
        new_l.append(gcd(l[2*i], l[2*i+1]))
      new_l.append(l[-1])
      return multi_gcd(new_l)
     
n = int(input())
a = list(map(int, input().split()))
ans = 0
for i in range(n):
  a_gcd = multi_gcd(a[:i]+a[i+1:])
  if ans < a_gcd:
    ans = a_gcd
print(ans)

Fixed submission:
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
def mgcd(l):
  if len(l) == 1:
    return l[0]
  else:
    new_l = []
    for i in range(-(-len(l)//2)):
      temp = gcd(l[i], l[-i-1])
      if temp == 1:
        return 1
      else:
        new_l.append(temp)
    return mgcd(new_l)

n = int(input())
a = list(map(int, input().split()))
a.sort()
ans1 = mgcd(a[1:])
min_gcd = 1001001001
min_idx = 0
for i in range(1,n):
  temp = gcd(a[0], a[i])
  if temp < min_gcd:
    min_gcd = temp
    min_idx = i
a.pop(min_idx)
ans2 = mgcd(a)
print(max(ans1, ans2))