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

n = int(input())
a = list(map(int, input().split()))

def prime(n):
    p = []
    flag = [True] * (n - 1)
    for i in range(n - 1):
        if flag[i] == True:
            p.append(i + 2)
            num = i
            while num <= n - 2:
                flag[num] = False
                num += i + 2
    return p

gcd = 0
for i in range(n):
    gcd = math.gcd(gcd, a[i])
if gcd != 1:
    print("not coprime")
else:
    flag = True
    a2 = collections.deque(a)
    while len(a2) > 1:
        temp1 = a2.popleft()
        temp2 = a2.popleft()
        if math.gcd(temp1, temp2) != 1:
            print("setwise coprime")
            break
        else:
            a2.append(temp1 * temp2)
    else:
        print("pairwise coprime")

Fixed submission:
import math, sys
input = sys.stdin.readline
n = int(input())
a = list(map(int, input().split()))

def prime(n):
    p = []
    min_p = [0 for i in range(n - 1)]
    flag = [True] * (n - 1)
    for i in range(n - 1):
        if flag[i] == True:
            p.append(i + 2)
            num = i
            while num <= n - 2:
                if flag[num] == True:
                    min_p[num] = i + 2
                flag[num] = False
                num += i + 2
    return p, min_p

gcd = 0
for i in range(n):
    gcd = math.gcd(gcd, a[i])
if gcd != 1:
    print("not coprime")
else:
    p = prime(max(a))
    p_list = {i:0 for i in p[0]}
    min_p = p[1]
    flag = True
    for i in a:
        temp = set()
        while i != 1:
            temp.add(min_p[i - 2])
            i //= min_p[i - 2]
        for j in temp:
            if p_list[j] == 1:
                flag = False
                break
            else:
                p_list[j] += 1
        if flag == False:
            print("setwise coprime")
            break
    else:
        print("pairwise coprime")

Buggy python submission (verdict: Time Limit Exceeded):
import math, sys
input = sys.stdin.readline
n = int(input())
a = list(map(int, input().split()))

def prime(n):
    p = []
    flag = [True] * (n - 1)
    for i in range(n - 1):
        if flag[i] == True:
            p.append(i + 2)
            num = i
            while num <= n - 2:
                flag[num] = False
                num += i + 2
    return p

gcd = 0
for i in range(n):
    gcd = math.gcd(gcd, a[i])
if gcd != 1:
    print("not coprime")
else:
    p = prime(1000)
    flag = True
    for i in p:
        temp = 0
        for j in range(n):
            if a[j] % i == 0:
                temp += 1
            if temp == 2:
                flag = False
                break
            while a[j] % i == 0:
                a[j] //= i
        if flag == False:
            break
    if flag == False:
        print("setwise coprime")
    else:
        num = set()
        for i in a:
            if i == 1:
                continue
            if i in num:
                print("setwise coprime")
                break
            else:
                num.add(i)
        else:
            print("pairwise coprime")

Fixed submission:
import math, sys
input = sys.stdin.readline
n = int(input())
a = list(map(int, input().split()))

def prime(n):
    p = []
    min_p = [0 for i in range(n - 1)]
    flag = [True] * (n - 1)
    for i in range(n - 1):
        if flag[i] == True:
            p.append(i + 2)
            num = i
            while num <= n - 2:
                if flag[num] == True:
                    min_p[num] = i + 2
                flag[num] = False
                num += i + 2
    return p, min_p

gcd = 0
for i in range(n):
    gcd = math.gcd(gcd, a[i])
if gcd != 1:
    print("not coprime")
else:
    p = prime(max(a))
    p_list = {i:0 for i in p[0]}
    min_p = p[1]
    flag = True
    for i in a:
        temp = set()
        while i != 1:
            temp.add(min_p[i - 2])
            i //= min_p[i - 2]
        for j in temp:
            if p_list[j] == 1:
                flag = False
                break
            else:
                p_list[j] += 1
        if flag == False:
            print("setwise coprime")
            break
    else:
        print("pairwise coprime")