Buggy python submission (verdict: Time Limit Exceeded):

import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))
A.sort()

def gcd(n,m):
	if m > n:
		n,m = m,n
	a,b = n,m
	while b > 0:
		a,b = b, a%b
	return a

isPC = True

p,s = A[0], A[0]

for n in A[1:]:
	if isPC and gcd(p, n) == 1:
		p *= n
	else:
		isPC = False

	if s > 1:
		s = gcd(s, n)

if isPC:
	print("pairwise coprime")
elif s == 1:
	print("setwise coprime")
else:
	print("not coprime")

Fixed submission:

import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))
A.sort()

def gcd(n,m):
	if m > n:
		n,m = m,n
	a,b = n,m
	while b > 0:
		a,b = b, a%b
	return a

def isPrime(n):
	if n <= 1:
		return False
	if n == 2:
		return True
	if n % 2 == 0:
		return False
	i = 3
	while i * i <= n:
		if n % i == 0:
			return False
		i += 2
	return True

P = [n for n in range(10**3 + 1) if isPrime(n)]
used = [False for _ in range(10**6 + 1)]

isPC = True
s = A[0]

n = A[0]
for p in P:
	if p > n:
		break
	while n % p == 0:
		used[p] = True
		n = n // p
if n > 1:
	used[n] = True

for n in A[1:]:
	if isPC:
		a = n
		for p in P:
			if p > a:
				break
			if a % p == 0 and used[p]:
				isPC = False
				break
			while a % p == 0:
				a = a // p
		if a > 1 and used[a]:
			isPC = False
		else:
			used[a] = True

	if s > 1:
		s = gcd(s, n)

if isPC:
	print("pairwise coprime")
elif s == 1:
	print("setwise coprime")
else:
	print("not coprime")

Buggy python submission (verdict: Time Limit Exceeded):

import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))

def gcd(n,m):
	if m > n:
		n,m = m,n
	a,b = n,m
	while b > 0:
		a,b = b, a%b
	return a

isPC = True

p,s = A[0], A[0]

for n in A[1:]:
	if isPC and gcd(p, n) == 1:
		p *= n
	else:
		isPC = False

	if s > 1:
		s = gcd(s, n)

if isPC:
	print("pairwise coprime")
elif s == 1:
	print("setwise coprime")
else:
	print("not coprime")

Fixed submission:

import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))
A.sort()

def gcd(n,m):
	if m > n:
		n,m = m,n
	a,b = n,m
	while b > 0:
		a,b = b, a%b
	return a

def isPrime(n):
	if n <= 1:
		return False
	if n == 2:
		return True
	if n % 2 == 0:
		return False
	i = 3
	while i * i <= n:
		if n % i == 0:
			return False
		i += 2
	return True

P = [n for n in range(10**3 + 1) if isPrime(n)]
used = [False for _ in range(10**6 + 1)]

isPC = True
s = A[0]

n = A[0]
for p in P:
	if p > n:
		break
	while n % p == 0:
		used[p] = True
		n = n // p
if n > 1:
	used[n] = True

for n in A[1:]:
	if isPC:
		a = n
		for p in P:
			if p > a:
				break
			if a % p == 0 and used[p]:
				isPC = False
				break
			while a % p == 0:
				a = a // p
		if a > 1 and used[a]:
			isPC = False
		else:
			used[a] = True

	if s > 1:
		s = gcd(s, n)

if isPC:
	print("pairwise coprime")
elif s == 1:
	print("setwise coprime")
else:
	print("not coprime")

Buggy python submission (verdict: Time Limit Exceeded):

import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))

def gcd(n,m):
	if m > n:
		n,m = m,n
	a,b = n,m
	while b > 0:
		a,b = b, a%b
	return a

isPC = True

p,s = A[0], A[0]

for n in A[1:]:
	if isPC and gcd(p, n) == 1:
		p *= n
	else:
		isPC = False

	if s > 1:
		s = gcd(s, n)

if isPC:
	print("pairwise coprime")
elif s == 1:
	print("setwise coprime")
else:
	print("not coprime")

Fixed submission:

import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))
A.sort()

def gcd(n,m):
	if m > n:
		n,m = m,n
	a,b = n,m
	while b > 0:
		a,b = b, a%b
	return a

def isPrime(n):
	if n <= 1:
		return False
	if n == 2:
		return True
	if n % 2 == 0:
		return False
	i = 3
	while i * i <= n:
		if n % i == 0:
			return False
		i += 2
	return True

P = [n for n in range(10**3 + 1) if isPrime(n)]
used = [False for _ in range(10**6 + 1)]

isPC = True
s = A[0]

n = A[0]
for p in P:
	if p > n:
		break
	while n % p == 0:
		used[p] = True
		n = n // p
if n > 1:
	used[n] = True

for n in A[1:]:
	if isPC:
		a = n
		for p in P:
			if p > a:
				break
			if a % p == 0 and used[p]:
				isPC = False
				break
			while a % p == 0:
				a = a // p
		if a > 1 and used[a]:
			isPC = False
		else:
			used[a] = True

	if s > 1:
		s = gcd(s, n)

if isPC:
	print("pairwise coprime")
elif s == 1:
	print("setwise coprime")
else:
	print("not coprime")