Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
A_MAX = max(A)

def eratosthenes(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]]

primecount = {}
primenum = [-1] * (A_MAX+1)
for p in eratosthenes(A_MAX):
    primecount[p] = 0
    for i in range(p, A_MAX+1, p):
        primenum[i] = p
    
for a in A:
    while a > 1:
        p = primenum[a]
        while a % p == 0:
            a //= p
        primecount[p] += 1

cnt = max(primecount.values())
if cnt == 1:    
    print('pairwise coprime')
elif cnt < N:
    print('setwise coprime')
else:
    print('not coprime')


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
A_MAX = max(A)

def eratosthenes(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]]

primecount = {}
primenum = [-1] * (A_MAX+1)
for p in eratosthenes(A_MAX):
    primecount[p] = 0
    for i in range(p, A_MAX+1, p):
        primenum[i] = p
    
for a in A:
    while a > 1:
        p = primenum[a]
        while a % p == 0:
            a //= p
        primecount[p] += 1

primecount[1] = 1
cnt = max(primecount.values())

if cnt == 1:    
    print('pairwise coprime')
elif cnt < N:
    print('setwise coprime')
else:
    print('not coprime')

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

def eratosthenes(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]]


pairwise = True
setwise = True
for x in eratosthenes(10**6):
    cnt = 0
    for a in A:
        if a % x == 0:
            cnt += 1
    
    if cnt >= 2:
        pairwise = False
    
    if cnt == N:
        setwise = False
    
if pairwise:
    print('pairwise coprime')
elif setwise:
    print('setwise coprime')
else:
    print('not coprime')
        

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
A_MAX = max(A)

def eratosthenes(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]]

primecount = {}
primenum = [-1] * (A_MAX+1)
for p in eratosthenes(A_MAX):
    primecount[p] = 0
    for i in range(p, A_MAX+1, p):
        primenum[i] = p
    
for a in A:
    while a > 1:
        p = primenum[a]
        while a % p == 0:
            a //= p
        primecount[p] += 1

primecount[1] = 1
cnt = max(primecount.values())

if cnt == 1:    
    print('pairwise coprime')
elif cnt < N:
    print('setwise coprime')
else:
    print('not coprime')