Buggy python submission (verdict: Time Limit Exceeded):
from functools import lru_cache, reduce
from bisect import bisect
n = int(input())
aa = list(map(int, input().split()))

lencache = []
cache = []

@lru_cache(maxsize=10**9)
def gcd2(a, b) :
    if a%b : return gcd2(b, a%b)
    else : return b

@lru_cache(maxsize=10**9)
def gcdn(fs) :
    global cache, lencache
    l = len(fs)
    i = bisect(lencache, l)
    lencache.insert(i, l)
    cache.insert(i, fs)
    if l == 1 :
        return list(fs)[0]
    elif l < 10 :
        return reduce(gcd2, fs)
    else :
        for c in cache[::-1] :
            if c in fs :
                return gcd2(gcdn(c), gcdn(fs-c))
        else :
            c = frozenset({v for i, v in enumerate(fs) if i<len(fs)/2})
            return gcd2(gcdn(c), gcdn(fs-c))

m = 1
for i in range(n) :
    s = frozenset(aa[:i]+aa[i+1:])
    g = gcdn(s)
    if g > m :
        m = g
else :
    print(m)

Fixed submission:
from functools import lru_cache
n = int(input())
aa = list(map(int, input().split()))

@lru_cache(maxsize=10**9)
def gcd(a, b) :
    if b == 0 : return a
    elif a%b : return gcd(b, a%b)
    else : return b

l = [0]
r = [0]
for i in range(n) :
    l.append(gcd(l[-1], aa[i]))
    r.append(gcd(r[-1], aa[-i-1]))

m = [gcd(l[i],r[-i-2]) for i in range(n)]
print(max(m))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
Alist = list(map(int, input().split()))

def ea(a, b) :
    if a%b == 0 :
        return b
    else :
        return ea(b, a%b)

def gcd(list1) :
    global dol
    lngt = len(list1)
    tuple1 = tuple(list1)
    if lngt == 1 :
        return list1[0]
    elif tuple1 in dol.keys() :
        return dol[tuple1]
    else :
        rt = ea(gcd(list1[:lngt//2]), gcd(list1[lngt//2:]))
        dol[tuple1] = rt
        return rt

dol = {}
anslist = []
for n in range(N) :
    anslist.append(gcd(Alist[:n]+Alist[n+1:]))
print(max(anslist))

Fixed submission:
from functools import lru_cache
n = int(input())
aa = list(map(int, input().split()))

@lru_cache(maxsize=10**9)
def gcd(a, b) :
    if b == 0 : return a
    elif a%b : return gcd(b, a%b)
    else : return b

l = [0]
r = [0]
for i in range(n) :
    l.append(gcd(l[-1], aa[i]))
    r.append(gcd(r[-1], aa[-i-1]))

m = [gcd(l[i],r[-i-2]) for i in range(n)]
print(max(m))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
Alist = list(map(int, input().split()))

def ea(a, b) :
    if a%b == 0 :
        return b
    else :
        return ea(b, a%b)

def gcd(list1) :
    global dol
    lngt = len(list1)
    tuple1 = tuple(list1)
    if tuple1 in dol.keys() :
        return dol[tuple1]
    elif lngt == 1 :
        return list1[0]
    else :
        rt = ea(gcd(list1[:lngt//2]), gcd(list1[lngt//2:]))
        dol[tuple1] = rt
        return rt

dol = {}
anslist = []
for n in range(N) :
    anslist.append(gcd(Alist[:n]+Alist[n+1:]))
print(max(anslist))

Fixed submission:
from functools import lru_cache
n = int(input())
aa = list(map(int, input().split()))

@lru_cache(maxsize=10**9)
def gcd(a, b) :
    if b == 0 : return a
    elif a%b : return gcd(b, a%b)
    else : return b

l = [0]
r = [0]
for i in range(n) :
    l.append(gcd(l[-1], aa[i]))
    r.append(gcd(r[-1], aa[-i-1]))

m = [gcd(l[i],r[-i-2]) for i in range(n)]
print(max(m))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
Alist = list(map(int, input().split()))

def ea(a, b) :
    if a%b == 0 :
        return b
    else :
        return ea(b, a%b)

def gcd(list1) :
    global dol
    lngt = len(list1)
    list2 = tuple(list1)
    if list2 in dol.keys() :
        return dol[list2]
    elif lngt == 1 :
        return list1[0]
    else :
        rt = ea(gcd(list1[:lngt//2]), gcd(list1[lngt//2:]))
        dol[list2] = rt
        return rt

dol = {}
ans = 1
for n in range(N) :
    ans = max(ans, gcd(Alist[:n]+Alist[n+1:]))
print(ans)

Fixed submission:
from functools import lru_cache
n = int(input())
aa = list(map(int, input().split()))

@lru_cache(maxsize=10**9)
def gcd(a, b) :
    if b == 0 : return a
    elif a%b : return gcd(b, a%b)
    else : return b

l = [0]
r = [0]
for i in range(n) :
    l.append(gcd(l[-1], aa[i]))
    r.append(gcd(r[-1], aa[-i-1]))

m = [gcd(l[i],r[-i-2]) for i in range(n)]
print(max(m))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
Alist = list(map(int, input().split()))

def ea(a, b) :
    if a%b == 0 :
        return b
    else :
        return ea(b, a%b)

def gcd(list1) :
    for m in range(N-2) :
        list1 = [ea(list1[0], list1[1])] + list1[2:]
    else :
        return list1[0]


ans = 1
for n in range(N) :
    ans = max(ans, gcd(Alist[:n]+Alist[n+1:]))
print(ans)

Fixed submission:
from functools import lru_cache
n = int(input())
aa = list(map(int, input().split()))

@lru_cache(maxsize=10**9)
def gcd(a, b) :
    if b == 0 : return a
    elif a%b : return gcd(b, a%b)
    else : return b

l = [0]
r = [0]
for i in range(n) :
    l.append(gcd(l[-1], aa[i]))
    r.append(gcd(r[-1], aa[-i-1]))

m = [gcd(l[i],r[-i-2]) for i in range(n)]
print(max(m))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
Alist = list(map(int, input().split()))

def ea(a, b) :
    if a%b == 0 :
        return b
    else :
        return ea(b, a%b)

def gcd(list1) :
    global dol
    list2 = tuple(list1)
    if list2 in dol.keys() :
        return dol[list2]
    else :
        for m in range(N-2) :
            list1 = [ea(list1[0], list1[1])] + list1[2:]
        else :
            dol[list2] = list1[0]
            return list1[0]

dol = {}
ans = 1
for n in range(N) :
    ans = max(ans, gcd(Alist[:n]+Alist[n+1:]))
print(ans)

Fixed submission:
from functools import lru_cache
n = int(input())
aa = list(map(int, input().split()))

@lru_cache(maxsize=10**9)
def gcd(a, b) :
    if b == 0 : return a
    elif a%b : return gcd(b, a%b)
    else : return b

l = [0]
r = [0]
for i in range(n) :
    l.append(gcd(l[-1], aa[i]))
    r.append(gcd(r[-1], aa[-i-1]))

m = [gcd(l[i],r[-i-2]) for i in range(n)]
print(max(m))