Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(sys.getrecursionlimit())
N = int(input())
A = list(map(int,input().split(" ")))

def gcd (a: int,b: int) -> int:
    if a < b: a,b = b,a
    return a if b == 0 else gcd(b,a%b)
def lcm (a: int,b: int) -> int:
    return a // gcd(a,b) * b

memo = [-1] * N 
def dfs(i,v,flg):
    if i == N-1:
        if flg:
            return gcd(A[N-1],v)
        else:
            return v
    if flg:
        if memo[i] != -1:
            return memo[i]
        else:
            memo[i] = dfs(i+1,gcd(A[i],v),True)
            return memo[i]
    else:
        return max(dfs(i+1,gcd(v,A[i]),False),dfs(i+1,v,True))

if N == 2:
    print(max(A))
    exit(0)
else:
    print(max(dfs(1,A[0],False),dfs(2,A[1],True)))

Fixed submission:
import sys
sys.setrecursionlimit(sys.getrecursionlimit())
N = int(input())
A = list(map(int,input().split(" ")))

def gcd (a: int,b: int) -> int:
    if a < b: a,b = b,a
    return a if b == 0 else gcd(b,a%b)
def lcm (a: int,b: int) -> int:
    return a // gcd(a,b) * b

gcdForward = [0] * N
gcdBackWard = [0] * N
gcdForward[0] =  A[0]
gcdBackWard[N-1] = A[-1]
for i in range(N-1):
    gcdForward[i+1] = gcd(gcdForward[i],A[i+1])
    gcdBackWard[N-i-2] = gcd(gcdBackWard[N-i-1],A[N-i-2])


if N == 2:
    print(max(A))
    exit(0)
else:
    ans = max(gcdBackWard[1],gcdForward[N-2])
    for i in range(1,N-1):
        ans = max(ans,gcd(gcdForward[i-1],gcdBackWard[i+1]))
    print(ans)

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

sys.setrecursionlimit(sys.getrecursionlimit())
N = int(input())
A = list(map(int,input().split(" ")))

def gcd (a: int,b: int) -> int:
    if a < b: a,b = b,a
    return a if b == 0 else gcd(b,a%b)
def lcm (a: int,b: int) -> int:
    return a // gcd(a,b) * b

def dfs(i,v,flg):
    if i == N-1:
        if flg:
            return gcd(A[N-1],v)
        else:
            return v
    if flg:
        return dfs(i+1,gcd(A[i],v),True)
    else:
        return max(dfs(i+1,gcd(v,A[i]),False),dfs(i+1,v,True))

if N == 2:
    print(max(A))
    exit(0)
else:
    print(max(dfs(1,A[0],False),dfs(2,A[1],True)))

Fixed submission:
import sys
sys.setrecursionlimit(sys.getrecursionlimit())
N = int(input())
A = list(map(int,input().split(" ")))

def gcd (a: int,b: int) -> int:
    if a < b: a,b = b,a
    return a if b == 0 else gcd(b,a%b)
def lcm (a: int,b: int) -> int:
    return a // gcd(a,b) * b

gcdForward = [0] * N
gcdBackWard = [0] * N
gcdForward[0] =  A[0]
gcdBackWard[N-1] = A[-1]
for i in range(N-1):
    gcdForward[i+1] = gcd(gcdForward[i],A[i+1])
    gcdBackWard[N-i-2] = gcd(gcdBackWard[N-i-1],A[N-i-2])


if N == 2:
    print(max(A))
    exit(0)
else:
    ans = max(gcdBackWard[1],gcdForward[N-2])
    for i in range(1,N-1):
        ans = max(ans,gcd(gcdForward[i-1],gcdBackWard[i+1]))
    print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split(" ")))

def gcd (a: int,b: int) -> int:
    if a < b: a,b = b,a
    return a if b == 0 else gcd(b,a%b)
def lcm (a: int,b: int) -> int:
    return a // gcd(a,b) * b

def dfs(i,v,flg):
    if i == N-1:
        if flg:
            return gcd(A[N-1],v)
        else:
            return v
    if flg:
        return dfs(i+1,gcd(A[i],v),True)
    else:
        return max(dfs(i+1,gcd(v,A[i]),False),dfs(i+1,v,True))

if N == 2:
    print(max(A))
    exit(0)
else:
    print(max(dfs(1,A[0],False),dfs(2,A[1],True)))



Fixed submission:
import sys
sys.setrecursionlimit(sys.getrecursionlimit())
N = int(input())
A = list(map(int,input().split(" ")))

def gcd (a: int,b: int) -> int:
    if a < b: a,b = b,a
    return a if b == 0 else gcd(b,a%b)
def lcm (a: int,b: int) -> int:
    return a // gcd(a,b) * b

gcdForward = [0] * N
gcdBackWard = [0] * N
gcdForward[0] =  A[0]
gcdBackWard[N-1] = A[-1]
for i in range(N-1):
    gcdForward[i+1] = gcd(gcdForward[i],A[i+1])
    gcdBackWard[N-i-2] = gcd(gcdBackWard[N-i-1],A[N-i-2])


if N == 2:
    print(max(A))
    exit(0)
else:
    ans = max(gcdBackWard[1],gcdForward[N-2])
    for i in range(1,N-1):
        ans = max(ans,gcd(gcdForward[i-1],gcdBackWard[i+1]))
    print(ans)