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

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

in_n = lambda: int(readline())
in_nn = lambda: map(int, readline().split())
in_s = lambda: readline().rstrip().decode('utf-8')
in_nl = lambda: list(map(int, readline().split()))
in_nl2 = lambda H: [in_nl() for _ in range(H)]
in_map = lambda: [s == ord('.') for s in readline() if s != ord('\n')]
in_map2 = lambda H: [in_map() for _ in range(H)]
in_all = lambda: map(int, read().split())


def factorize(n):
    b = 2
    fct = set()
    while b ** 2 <= n:
        while n % b == 0:
            n //= b
            fct.add(b)
        b += 1
    if n > 1:
        fct.add(n)
    return fct


def main():

    N = in_n()
    A = sorted(in_nl())

    M = 10**6 + 1
    ok = [True] * M

    pf = True
    for i in range(N):
        prime = factorize(A[i])
        for p in prime:
            if not ok[p]:
                pf = False
                break
            else:
                ok[p] = False

    g = A[0]
    for i in range(1, N):
        g = math.gcd(g, A[i])

    if pf:
        ans = "pairwise coprime"
    else:
        if g == 1:
            ans = "setwise coprime"
        else:
            ans = "not coprime"

    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
from collections import defaultdict

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

in_n = lambda: int(readline())
in_nn = lambda: map(int, readline().split())
in_s = lambda: readline().rstrip().decode('utf-8')
in_nl = lambda: list(map(int, readline().split()))
in_nl2 = lambda H: [in_nl() for _ in range(H)]
in_map = lambda: [s == ord('.') for s in readline() if s != ord('\n')]
in_map2 = lambda H: [in_map() for _ in range(H)]
in_all = lambda: map(int, read().split())


# 素因数分解（複数回）
class Factorize(object):

    def __init__(self, maxnum):
        self.primes = self.__smallest_prime_factors(maxnum)

    # 素因数分解 O(logN)
    def factorize(self, n):
        fct = defaultdict(lambda: 0)
        while n != 1:
            fct[self.primes[n]] += 1
            n //= self.primes[n]
        return fct

    # n以下の最小の素因数を列挙する O(NlogN)
    def __smallest_prime_factors(self, n):

        prime = list(range(n + 1))

        for i in range(2, int(n**0.5) + 1):
            if prime[i] != i:
                continue
            for j in range(i * 2, n + 1, i):
                prime[j] = min(prime[j], i)
        return prime


def main():

    N = in_n()
    A = sorted(in_nl())

    M = 10**6 + 1
    ok = [True] * M

    fct = Factorize(M)

    pf = True
    for i in range(N):
        prime = fct.factorize(A[i])
        for p in prime.keys():
            if not ok[p]:
                pf = False
                break
            else:
                ok[p] = False

    g = A[0]
    for i in range(1, N):
        g = math.gcd(g, A[i])

    if pf:
        ans = "pairwise coprime"
    else:
        if g == 1:
            ans = "setwise coprime"
        else:
            ans = "not coprime"

    print(ans)


if __name__ == '__main__':
    main()

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

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

in_n = lambda: int(readline())
in_nn = lambda: map(int, readline().split())
in_s = lambda: readline().rstrip().decode('utf-8')
in_nl = lambda: list(map(int, readline().split()))
in_nl2 = lambda H: [in_nl() for _ in range(H)]
in_map = lambda: [s == ord('.') for s in readline() if s != ord('\n')]
in_map2 = lambda H: [in_map() for _ in range(H)]
in_all = lambda: map(int, read().split())


def factorize(n):
    b = 2
    fct = set()
    while b ** 2 <= n:
        while n % b == 0:
            n //= b
            fct.add(b)
        b += 1
    if n > 1:
        fct.add(n)
    return fct


def main():

    N = in_n()
    A = sorted(in_nl())

    M = 10**6 + 1
    ok = [True] * M

    pf = True
    for i in range(N):
        prime = factorize(A[i])
        for p in prime:
            if not ok[p]:
                pf = False
                break
            else:
                for j in range(p, M, p):
                    ok[j] = False

    g = A[0]
    for i in range(1, N):
        g = math.gcd(g, A[i])

    if pf:
        ans = "pairwise coprime"
    else:
        if g == 1:
            ans = "setwise coprime"
        else:
            ans = "not coprime"

    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
from collections import defaultdict

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

in_n = lambda: int(readline())
in_nn = lambda: map(int, readline().split())
in_s = lambda: readline().rstrip().decode('utf-8')
in_nl = lambda: list(map(int, readline().split()))
in_nl2 = lambda H: [in_nl() for _ in range(H)]
in_map = lambda: [s == ord('.') for s in readline() if s != ord('\n')]
in_map2 = lambda H: [in_map() for _ in range(H)]
in_all = lambda: map(int, read().split())


# 素因数分解（複数回）
class Factorize(object):

    def __init__(self, maxnum):
        self.primes = self.__smallest_prime_factors(maxnum)

    # 素因数分解 O(logN)
    def factorize(self, n):
        fct = defaultdict(lambda: 0)
        while n != 1:
            fct[self.primes[n]] += 1
            n //= self.primes[n]
        return fct

    # n以下の最小の素因数を列挙する O(NlogN)
    def __smallest_prime_factors(self, n):

        prime = list(range(n + 1))

        for i in range(2, int(n**0.5) + 1):
            if prime[i] != i:
                continue
            for j in range(i * 2, n + 1, i):
                prime[j] = min(prime[j], i)
        return prime


def main():

    N = in_n()
    A = sorted(in_nl())

    M = 10**6 + 1
    ok = [True] * M

    fct = Factorize(M)

    pf = True
    for i in range(N):
        prime = fct.factorize(A[i])
        for p in prime.keys():
            if not ok[p]:
                pf = False
                break
            else:
                ok[p] = False

    g = A[0]
    for i in range(1, N):
        g = math.gcd(g, A[i])

    if pf:
        ans = "pairwise coprime"
    else:
        if g == 1:
            ans = "setwise coprime"
        else:
            ans = "not coprime"

    print(ans)


if __name__ == '__main__':
    main()