Buggy python submission (verdict: Time Limit Exceeded):
import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5)+1):
        if is_prime[i]:
            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]]

def primeFactorization(n, primes):
    ans = []
    temp = n
    for p in primes:
        while temp%p == 0:
            ans.append(p)
            temp //= p
    if temp > 1:
        ans.append(temp)
    return collections.Counter(ans)

def resolve():
    N = I()
    A = LI()

    # pairwiseについて、Aを走査して今までに出てきた素因数を記録すればわかる
    primes = sieve(max(A))
    factor = set()
    is_pc = True
    for i in A:
        for j in primes:
            if i % j == 0:
                if j in factor:
                    is_pc = False
                    break
                else:
                    factor.add(j)
        if not is_pc:
            break
    
    is_sc = False
    if not is_pc:
        gcd = A[0]
        for i in A[1:]:
            gcd = math.gcd(i, gcd)
        if gcd == 1:
            is_sc = True

    if is_pc:
        print('pairwise coprime')
    elif is_sc:
        print('setwise coprime')
    else:
        print('not coprime')

if __name__ == '__main__':
    resolve()


Fixed submission:
import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def primeFactorization(n):
    D = list(range(n + 1))
    for i in range(2, int(n ** 0.5) + 1):
        if D[i] == i:
            for j in range(i, n + 1, i):
                if D[j] == j:
                    D[j] = i
    return D

def resolve():
    N = I()
    A = LI()

    # pairwise判定
    is_pc = True
    D = primeFactorization(max(A))
    pf = set()
    for i in A:
        tmp = i
        cnt = collections.Counter()
        while tmp != 1:
            cnt[D[tmp]] += 1
            tmp //= D[tmp]
        fact = set(cnt.keys())
        if pf & fact:
            is_pc = False
            break
        else:
            pf |= fact
    
    # setwise判定
    is_sc = False
    if not is_pc:
        gcd = A[0]
        for i in A[1:]:
            gcd = math.gcd(i, gcd)
        if gcd == 1:
            is_sc = True

    if is_pc:
        print('pairwise coprime')
    elif is_sc:
        print('setwise coprime')
    else:
        print('not coprime')

if __name__ == '__main__':
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5)+1):
        if is_prime[i]:
            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]]

def primeFactorization(n, primes):
    ans = []
    temp = n
    for p in primes:
        while temp%p == 0:
            ans.append(p)
            temp //= p
    if temp > 1:
        ans.append(temp)
    return collections.Counter(ans)

def resolve():
    N = I()
    A = LI()

    # pairwiseについて、Aを走査して今までに出てきた素因数を記録すればわかる
    primes = sieve(max(A))
    factor = set()
    is_pc = True
    for i in A:
        pf = primeFactorization(i, primes)
        for j in pf.keys():
            if j in factor:
                is_pc = False
                break
            factor.add(j)
        if not is_pc:
            break
    
    is_sc = False
    if not is_pc:
        gcd = A[0]
        for i in A[1:]:
            gcd = math.gcd(i, gcd)
        if gcd == 1:
            is_sc = True

    if is_pc:
        print('pairwise coprime')
    elif is_sc:
        print('setwise coprime')
    else:
        print('not coprime')

if __name__ == '__main__':
    resolve()


Fixed submission:
import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def primeFactorization(n):
    D = list(range(n + 1))
    for i in range(2, int(n ** 0.5) + 1):
        if D[i] == i:
            for j in range(i, n + 1, i):
                if D[j] == j:
                    D[j] = i
    return D

def resolve():
    N = I()
    A = LI()

    # pairwise判定
    is_pc = True
    D = primeFactorization(max(A))
    pf = set()
    for i in A:
        tmp = i
        cnt = collections.Counter()
        while tmp != 1:
            cnt[D[tmp]] += 1
            tmp //= D[tmp]
        fact = set(cnt.keys())
        if pf & fact:
            is_pc = False
            break
        else:
            pf |= fact
    
    # setwise判定
    is_sc = False
    if not is_pc:
        gcd = A[0]
        for i in A[1:]:
            gcd = math.gcd(i, gcd)
        if gcd == 1:
            is_sc = True

    if is_pc:
        print('pairwise coprime')
    elif is_sc:
        print('setwise coprime')
    else:
        print('not coprime')

if __name__ == '__main__':
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5)+1):
        if is_prime[i]:
            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]]

def primeFactorization(n, primes):
    ans = []
    temp = n
    for p in primes:
        while temp%p == 0:
            ans.append(p)
            temp //= p
    if temp > 1:
        ans.append(temp)
    return collections.Counter(ans)

def resolve():
    N = I()
    A = LI()

    # pairwiseについて、Aを走査して今までに出てきた素因数を記録すればわかる
    primes = sieve(max(A))
    factor = set()
    is_pc = True
    for i in A:
        pf = primeFactorization(i, primes)
        for j in pf.keys():
            if j in factor:
                is_pc = False
                break
            factor.add(j)
        if not is_pc:
            break
    
    is_sc = False
    if not is_pc:
        gcd = A[0]
        for i in A[1:]:
            gcd = math.gcd(i, gcd)
        if gcd == 1:
            is_sc = True

    if is_pc:
        print('pairwise coprime')
    elif is_sc:
        print('setwise coprime')
    else:
        print('not coprime')

if __name__ == '__main__':
    resolve()


Fixed submission:
import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def primeFactorization(n):
    D = list(range(n + 1))
    for i in range(2, int(n ** 0.5) + 1):
        if D[i] == i:
            for j in range(i, n + 1, i):
                if D[j] == j:
                    D[j] = i
    return D

def resolve():
    N = I()
    A = LI()

    # pairwise判定
    is_pc = True
    D = primeFactorization(max(A))
    pf = set()
    for i in A:
        tmp = i
        cnt = collections.Counter()
        while tmp != 1:
            cnt[D[tmp]] += 1
            tmp //= D[tmp]
        fact = set(cnt.keys())
        if pf & fact:
            is_pc = False
            break
        else:
            pf |= fact
    
    # setwise判定
    is_sc = False
    if not is_pc:
        gcd = A[0]
        for i in A[1:]:
            gcd = math.gcd(i, gcd)
        if gcd == 1:
            is_sc = True

    if is_pc:
        print('pairwise coprime')
    elif is_sc:
        print('setwise coprime')
    else:
        print('not coprime')

if __name__ == '__main__':
    resolve()