Buggy python submission (verdict: Time Limit Exceeded):
from math import gcd


def create_sieve(n):
    sieve = [0] * (n + 1)

    for i in range(2, n + 1):
        if sieve[i] == 0:
            j = i ** 2
            while j <= n:
                sieve[j] = i
                j += i

    return sieve


def fast_factorization(n, sieve):
    from collections import Counter
    arr = Counter()
    while n > 1:
        p = sieve[n]
        if p == 0:
            arr[n] += 1
            break
        else:
            arr[p] += 1
            n //= p
    return arr


N = int(input())
A = list(map(int, input().split()))

# setwise
tmp = 0
for a in A:
    tmp = gcd(tmp, a)
isSetwise = (tmp == 1)


# pairwise
M = 10 ** 6
sieve = create_sieve(M)
done = set()
isPairwise = True
for a in A:
    arr = fast_factorization(a, sieve)
    for p in arr.keys():
        if p in done:
            isPairwise = False
        else:
            done.add(p)

# check
if isPairwise:
    ans = 'pairwise coprime'
elif isSetwise:
    ans = 'setwise coprime'
else:
    ans = 'not coprime'
print(ans)


Fixed submission:
from math import gcd


# def sieve(n):
#     is_prime = [1 for _ in range(n + 1)]
#     is_prime[0] = 0
#     is_prime[1] = 0

#     for i in range(2, n + 1):
#         if is_prime[i]:
#             j = i + i
#             while j <= n:
#                 is_prime[j] = 0
#                 j += i

#     return is_prime


def factorization(n):
    from collections import Counter
    arr = Counter()
    temp = n
    for i in range(2, int(-(-n**0.5 // 1)) + 1):
        if temp % i == 0:
            cnt = 0
            while temp % i == 0:
                cnt += 1
                temp //= i
            arr[i] = cnt

    if temp != 1:
        arr[temp] = 1

    if len(arr.keys()) == 0 and n != 1:
        arr[n] = 1

    return arr


N = int(input())
A = list(map(int, input().split()))

# setwise
tmp = 0
for a in A:
    tmp = gcd(tmp, a)
isSetwise = (tmp == 1)


# pairwise
M = 10 ** 6
sieve = [0] * (M + 1)
for a in A:
    if sieve[a] == 1:
        isPairwise = False
        break
    else:
        arr = factorization(a)
        for p in arr.keys():
            np = p
            while np <= M:
                sieve[np] = 1
                np += p
else:
    isPairwise = True

# check
if isPairwise:
    ans = 'pairwise coprime'
elif isSetwise:
    ans = 'setwise coprime'
else:
    ans = 'not coprime'
print(ans)

Buggy python submission (verdict: Runtime Error):
from math import gcd


N = int(input())
A = list(map(int, input().split()))

# setwise validation
tmp = 0
for a in A:
    tmp = gcd(tmp, a)
isSetwise = (tmp == 1)


# pairwise validation
M = 10 ** 6
A = set(A)
isPairwise = True
for i in range(2, M):
    cnt = 0
    ni = 0
    while (ni := ni + i) <= M:
        cnt += (ni in A)
    isPairwise &= (cnt <= 1)

# check
if isPairwise:
    ans = 'pairwise coprime'
elif isSetwise:
    ans = 'setwise coprime'
else:
    ans = 'not coprime'
print(ans)


Fixed submission:
from math import gcd


# def sieve(n):
#     is_prime = [1 for _ in range(n + 1)]
#     is_prime[0] = 0
#     is_prime[1] = 0

#     for i in range(2, n + 1):
#         if is_prime[i]:
#             j = i + i
#             while j <= n:
#                 is_prime[j] = 0
#                 j += i

#     return is_prime


def factorization(n):
    from collections import Counter
    arr = Counter()
    temp = n
    for i in range(2, int(-(-n**0.5 // 1)) + 1):
        if temp % i == 0:
            cnt = 0
            while temp % i == 0:
                cnt += 1
                temp //= i
            arr[i] = cnt

    if temp != 1:
        arr[temp] = 1

    if len(arr.keys()) == 0 and n != 1:
        arr[n] = 1

    return arr


N = int(input())
A = list(map(int, input().split()))

# setwise
tmp = 0
for a in A:
    tmp = gcd(tmp, a)
isSetwise = (tmp == 1)


# pairwise
M = 10 ** 6
sieve = [0] * (M + 1)
for a in A:
    if sieve[a] == 1:
        isPairwise = False
        break
    else:
        arr = factorization(a)
        for p in arr.keys():
            np = p
            while np <= M:
                sieve[np] = 1
                np += p
else:
    isPairwise = True

# check
if isPairwise:
    ans = 'pairwise coprime'
elif isSetwise:
    ans = 'setwise coprime'
else:
    ans = 'not coprime'
print(ans)