Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

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

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a
ans=True

next=[]

f=False
MIN_A=INF
for x in A:
    if x==1:
        f=True
    else:
        next.append(x)
        MIN_A=min(MIN_A,x)
A=next
next=[]

while A:
    prime=prime_factorize(MIN_A)
    MIN_A=INF
    for p in prime:
        cnt=0
        for i,x in enumerate(A):
            if x%p==0:
                cnt+=1
                while x%p==0:
                    x//=p
                if x!=1:
                    next.append(x)
                    MIN_A=min(MIN_A,x)
            else:
                next.append(x)
                MIN_A=min(MIN_A,x)
                
        if cnt>=2:
            ans=False
        if cnt==N and not f:
            print('not coprime')
            exit()
        A=next
        next=[]

if ans:
    print('pairwise coprime')
else:
    print('setwise coprime')

Fixed submission:
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1
from math import gcd

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

M=10**6

D=[-1]*(M+1)
D[0]=D[1]=1
for i in range(2,int(M**0.5)+1):
    if D[i]!=-1:
        continue
    for j in range(i*2,M+1,i):
        if D[j]==-1:
            D[j]=i

f=[False]*(M+1)

for x in A:
    l=[]
    while x>1:
        if f[x]==True:
            break
        if D[x]>1:
            l.append(D[x])
            x//=D[x]
        else:
            l.append(x)
            x=1
    else:
        for y in l:
            f[y]=True
        continue
    break
else:
    print('pairwise coprime')
    exit()

tmp=A[0]
for x in A[1:]:
    tmp=gcd(tmp,x)
    if tmp==1:
        print('setwise coprime')
        exit()
else:
    print('not coprime')

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1

N=int(input())
A=tuple(map(int,input().split()))
MAX_A=max(A)

def primes(n):
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    return [i for i in range(n + 1) if is_prime[i]]

prime=primes(MAX_A)
ans='pairwise coprime'

is_coprime=True

for p in prime:
    cnt=0
    for i,x in enumerate(A):
        if x%p==0:
            cnt+=1
    if cnt>=2:
        ans='setwise coprime'
    if cnt==N:
        is_coprime=False

if is_coprime:
    print(ans)
else:
    print('not coprime')

Fixed submission:
# -*- coding: utf-8 -*-
import sys
sys.setrecursionlimit(10**9)
INF=10**18
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
YesNo=lambda b: bool([print('Yes')] if b else print('No'))
YESNO=lambda b: bool([print('YES')] if b else print('NO'))
int1=lambda x:int(x)-1
from math import gcd

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

M=10**6

D=[-1]*(M+1)
D[0]=D[1]=1
for i in range(2,int(M**0.5)+1):
    if D[i]!=-1:
        continue
    for j in range(i*2,M+1,i):
        if D[j]==-1:
            D[j]=i

f=[False]*(M+1)

for x in A:
    l=[]
    while x>1:
        if f[x]==True:
            break
        if D[x]>1:
            l.append(D[x])
            x//=D[x]
        else:
            l.append(x)
            x=1
    else:
        for y in l:
            f[y]=True
        continue
    break
else:
    print('pairwise coprime')
    exit()

tmp=A[0]
for x in A[1:]:
    tmp=gcd(tmp,x)
    if tmp==1:
        print('setwise coprime')
        exit()
else:
    print('not coprime')