Buggy python submission (verdict: Runtime Error):
import fractions
N = int(input())
As = list(map(int, input().split()))
As.sort()
ans = 1
odd = 0
even = 0
for a in As:
    if a%2 == 0:
        even += 1
    else:
        odd += 1
if even >= 2 and odd >= 2:
    print(1)
elif even == 1:
    c = 0
    for b in As:
        if b % 2 == 1:
            c = b
            break
    for a in As:
        if a % 2 == 1:
            c = fractions.gcd(c, a)
    print(c)
elif odd == 1:
     c = 0
    for b in As:
        if b % 2 == 0:
            c = b
            break
    for a in As:
        if a % 2 == 0:
            c = fractions.gcd(c, a)
    print(c)
    
else:
    
    for i in range(N):
        flag = True
        if i == 0:
            a = As[1]
        else:
            a = As[0]
        for j in range(N):
            if j != i:
                a = fractions.gcd(a, As[j])
                if a <= ans:
                    flag = False
                    break
        if flag:  
            ans = a
    print(ans)

Fixed submission:
import fractions
import collections
N = int(input())
As = list(map(int, input().split()))
lgcd = [As[0]]
rgcd = collections.deque([As[-1]])
l = As[0]
r = As[-1]
for i in range(1, N):
    l = fractions.gcd(l, As[i])
    r = fractions.gcd(r, As[-(i+1)])
    lgcd.append(l)
    rgcd.appendleft(r)
ans = [lgcd[N-2], rgcd[1]]
for i in range(1, N-1):
    ans.append(fractions.gcd(lgcd[i-1], rgcd[i+1]))
print(max(ans))

Buggy python submission (verdict: Time Limit Exceeded):
import fractions
N = int(input())
As = list(map(int, input().split()))
As.sort()
ans = 1
 
for i in range(N):
    flag = True
    if i == 0:
        a = As[1]
    else:
        a = As[0]
    for j in range(N):
        if j != i:
            a = fractions.gcd(a, As[j])
            if a <= ans:
                flag = False
                break
    if flag:
        ans = a
print(ans)
        

Fixed submission:
import fractions
import collections
N = int(input())
As = list(map(int, input().split()))
lgcd = [As[0]]
rgcd = collections.deque([As[-1]])
l = As[0]
r = As[-1]
for i in range(1, N):
    l = fractions.gcd(l, As[i])
    r = fractions.gcd(r, As[-(i+1)])
    lgcd.append(l)
    rgcd.appendleft(r)
ans = [lgcd[N-2], rgcd[1]]
for i in range(1, N-1):
    ans.append(fractions.gcd(lgcd[i-1], rgcd[i+1]))
print(max(ans))

Buggy python submission (verdict: Time Limit Exceeded):
import fractions
N = int(input())
As = list(map(int, input().split()))
As.sort()
ans = 1

for i in range(N):
    flag = True
    if i == 0:
        a = As[1]
    else:
        a = As[0]
    for j in range(N):
        if j != i:
            a = fractions.gcd(a, As[j])
            if a <= ans:
                flag = False
                break
    if flag:
        ans = a
print(ans)
        

Fixed submission:
import fractions
import collections
N = int(input())
As = list(map(int, input().split()))
lgcd = [As[0]]
rgcd = collections.deque([As[-1]])
l = As[0]
r = As[-1]
for i in range(1, N):
    l = fractions.gcd(l, As[i])
    r = fractions.gcd(r, As[-(i+1)])
    lgcd.append(l)
    rgcd.appendleft(r)
ans = [lgcd[N-2], rgcd[1]]
for i in range(1, N-1):
    ans.append(fractions.gcd(lgcd[i-1], rgcd[i+1]))
print(max(ans))