Buggy python submission (verdict: Runtime Error):
import sys
import math


N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7


def eatosthenes(N):
    prime = []
    D = [1] * (N + 1)

    for i in range(2, N + 1):
        if D[i] != 1:
            continue
        for j in range(N // i + 1):
            if D[i * j] == 1:
                D[i * j] = i
        prime.append(i)

def main():
    N = int(sys.stdin.readline().rstrip())
    A = [int(x) for x in sys.stdin.readline().rstrip().split()]

    maxA = max(A)
    primelist = eatosthenes(maxA)

    # 1 <= a <= maxA までの、要素の登場回数
    C = [0] * (maxA + 1)
    for a in A:
        C[a] += 1

    pc = True

    # p の倍数である個数をカウントする
    for p in primelist:
        cnt = 0
        for k in range(maxA // p + 1):
            cnt += C[k * p]

        # k*p となるような要素が2個以上あったら、pairwise coprime ではない
        if cnt > 1:
            pc = False

    if pc:
        print("pairwise coprime")
        return

    GCD = A[0]
    for i in range(1, N):
        GCD = math.gcd(GCD, A[i])

    if GCD == 1:
        print("setwise coprime")
        return

    print("not coprime")


main()


Fixed submission:
import sys
import math


N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7


def main():
    N = int(sys.stdin.readline().rstrip())
    A = [int(x) for x in sys.stdin.readline().rstrip().split()]

    maxA = max(A)

    # 1 <= a <= maxA までの、要素の登場回数
    C = [0] * (maxA + 1)
    for a in A:
        C[a] += 1

    pc = True

    # p の倍数である個数をカウントする
    for p in range(2, maxA + 1):
        cnt = 0
        for k in range(maxA // p + 1):
            cnt += C[k * p]

        # k*p となるような要素が2個以上あったら、pairwise coprime ではない
        if cnt > 1:
            pc = False

    if pc:
        print("pairwise coprime")
        return

    GCD = A[0]
    for i in range(1, N):
        GCD = math.gcd(GCD, A[i])

    if GCD == 1:
        print("setwise coprime")
        return

    print("not coprime")


main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import math
from collections import defaultdict


def first_prime_list(N):
    D = [1] * (N + 1)

    for i in range(2, N + 1):
        if D[i] != 1:
            continue
        for j in range(1, N // i + 1):
            if D[i * j] == 1:
                D[i * j] = i

    return D


def factorization_with_fpl(A, D):

    Ps = defaultdict(int)
    current_p = D[A]

    while D[A] > 1:
        cnt = 0
        while D[A] == current_p:
            A = A // D[A]
            cnt += 1

        Ps[current_p] = cnt
        current_p = D[A]

    if A != 1:
        Ps[A] = 1

    return Ps


N = int(sys.stdin.readline().rstrip())
A = [int(x) for x in sys.stdin.readline().rstrip().split()]

D = first_prime_list(max(A))

pc = True
sp = True

maxlist = factorization_with_fpl(A[0], D)

GCD = A[0]
for i in range(1,N):
    GCD = math.gcd(GCD, A[i])

for i in range(1, N):
    d = factorization_with_fpl(A[i], D)
    for p in d.keys():
        if min(maxlist[p], d[p]) != 0:
            pc = False
        maxlist[p] = max(maxlist[p], d[p])

if GCD != 1:
    print("not coprime")
elif pc:
    print("pairwise coprime")
else:
    print("setwise coprime")


Fixed submission:
import sys
import math


N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7


def main():
    N = int(sys.stdin.readline().rstrip())
    A = [int(x) for x in sys.stdin.readline().rstrip().split()]

    maxA = max(A)

    # 1 <= a <= maxA までの、要素の登場回数
    C = [0] * (maxA + 1)
    for a in A:
        C[a] += 1

    pc = True

    # p の倍数である個数をカウントする
    for p in range(2, maxA + 1):
        cnt = 0
        for k in range(maxA // p + 1):
            cnt += C[k * p]

        # k*p となるような要素が2個以上あったら、pairwise coprime ではない
        if cnt > 1:
            pc = False

    if pc:
        print("pairwise coprime")
        return

    GCD = A[0]
    for i in range(1, N):
        GCD = math.gcd(GCD, A[i])

    if GCD == 1:
        print("setwise coprime")
        return

    print("not coprime")


main()

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import sys
from collections import defaultdict


def first_prime_list(N):
    D = [1] * (N + 1)

    for i in range(2, N + 1):
        if D[i] != 1:
            continue
        for j in range(1, N // i + 1):
            if D[i * j] == 1:
                D[i * j] = i

    return D


def factorization_with_fpl(A, D):

    Ps = defaultdict(int)
    current_p = D[A]

    while D[A] > 1:
        cnt = 0
        while D[A] == current_p:
            A = A // D[A]
            cnt += 1

        Ps[current_p] = cnt
        current_p = D[A]

    if A != 1:
        Ps[A] = 1

    return Ps


N = int(sys.stdin.readline().rstrip())
A = [int(x) for x in sys.stdin.readline().rstrip().split()]

D = first_prime_list(max(A))

pc = True
sp = True

maxlist = factorization_with_fpl(A[0], D)
minlist = factorization_with_fpl(A[0], D)

arrA = np.array(A)

for i in range(1, N):
    d = factorization_with_fpl(A[i], D)
    for p in d.keys():
        if min(maxlist[p], d[p]) != 0:
            pc = False
        maxlist[p] = max(maxlist[p], d[p])

    for p in minlist.keys():
        minlist[p] = min(minlist[p], d[p])
    

for p in minlist.keys():
    if minlist[p] != 0:
        sp = False


if pc:
    print("pairwise coprime")
elif sp:
    print("setwise coprime")
else:
    print("not coprime")


Fixed submission:
import sys
import math


N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7


def main():
    N = int(sys.stdin.readline().rstrip())
    A = [int(x) for x in sys.stdin.readline().rstrip().split()]

    maxA = max(A)

    # 1 <= a <= maxA までの、要素の登場回数
    C = [0] * (maxA + 1)
    for a in A:
        C[a] += 1

    pc = True

    # p の倍数である個数をカウントする
    for p in range(2, maxA + 1):
        cnt = 0
        for k in range(maxA // p + 1):
            cnt += C[k * p]

        # k*p となるような要素が2個以上あったら、pairwise coprime ではない
        if cnt > 1:
            pc = False

    if pc:
        print("pairwise coprime")
        return

    GCD = A[0]
    for i in range(1, N):
        GCD = math.gcd(GCD, A[i])

    if GCD == 1:
        print("setwise coprime")
        return

    print("not coprime")


main()

Buggy python submission (verdict: Runtime Error):
import numpy as np
import sys
from collections import defaultdict


def first_prime_list(N):
    D = [1] * (N + 1)

    for i in range(2, N + 1):
        if D[i] != 1:
            continue
        for j in range(1, N // i + 1):
            if D[i * j] == 1:
                D[i * j] = i

    return D


def factorization_with_fpl(A, D):

    Ps = defaultdict(int)
    current_p = D[A]

    while D[A] > 1:
        cnt = 0
        while D[A] == current_p:
            A = A // D[A]
            cnt += 1

        Ps[current_p] = cnt
        current_p = D[A]

    if A != 1:
        Ps[A] = 1

    return Ps


N = int(sys.stdin.readline().rstrip())
A = [int(x) for x in sys.stdin.readline().rstrip().split()]

D = first_prime_list(max(A))

pc = True
sp = True

maxlist = factorization_with_fpl(A[0], D)
minlist = factorization_with_fpl(A[0], D)

arrA = np.array(A)

for i in range(1, N):
    d = factorization_with_fpl(A[i], D)
    for p in maxlist.keys():
        if min(maxlist[p], d[p]) != 0:
            pc = False
        maxlist[p] = max(maxlist[p], d[p])
        minlist[p] = min(minlist[p], d[p])


for p in minlist.keys():
    if minlist[p] != 0:
        sp = False


if pc:
    print("pairwise coprime")
elif sp:
    print("setwise coprime")
else:
    print("not coprime")


Fixed submission:
import sys
import math


N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7


def main():
    N = int(sys.stdin.readline().rstrip())
    A = [int(x) for x in sys.stdin.readline().rstrip().split()]

    maxA = max(A)

    # 1 <= a <= maxA までの、要素の登場回数
    C = [0] * (maxA + 1)
    for a in A:
        C[a] += 1

    pc = True

    # p の倍数である個数をカウントする
    for p in range(2, maxA + 1):
        cnt = 0
        for k in range(maxA // p + 1):
            cnt += C[k * p]

        # k*p となるような要素が2個以上あったら、pairwise coprime ではない
        if cnt > 1:
            pc = False

    if pc:
        print("pairwise coprime")
        return

    GCD = A[0]
    for i in range(1, N):
        GCD = math.gcd(GCD, A[i])

    if GCD == 1:
        print("setwise coprime")
        return

    print("not coprime")


main()

Buggy python submission (verdict: Time Limit Exceeded):
import math
import sys
from collections import defaultdict

N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7

def factorization(n):


    """ n の素因数分解 / 基数と指数で取り出す

    """

    arr = defaultdict(int)
    tmp = n
    for i in range(2, int(-(-n**0.5 // 1)) + 1):  # sqrt(n) まで

        # i で割れるだけ割る、を繰り返す
        if tmp % i == 0:
            cnt = 0

            while tmp % i == 0:
                cnt += 1
                tmp //= i

            arr[i] = cnt  # 結果を追加

    if tmp != 1:
        arr[tmp] = 1  # まだ余っていれば追加しておく

    if arr == []:
        arr[n] = 1  # このブロック、必要か？

    return arr


N = int(sys.stdin.readline().rstrip())
A = [int(x) for x in sys.stdin.readline().rstrip().split()]

maxlist = defaultdict(int)
minlist = factorization(A[0])

pc = True
sp = True

S = set()

for a in A:
    d = factorization(a)
    # print(a, d)
    for p in d.keys():
        S.add(p)

        if min(maxlist[p], d[p]) != 0:
            pc = False
        maxlist[p] = max(maxlist[p], d[p])
    
    for p in S:
        minlist[p] = min(minlist[p], d[p])

for p in S:
    if minlist[p] != 0:
        sp = False

# print(maxlist)
# print(minlist)

if pc:
    print("pairwise coprime")
elif sp:
    print("setwise coprime")
else:
    print("not coprime")

Fixed submission:
import sys
import math


N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7


def main():
    N = int(sys.stdin.readline().rstrip())
    A = [int(x) for x in sys.stdin.readline().rstrip().split()]

    maxA = max(A)

    # 1 <= a <= maxA までの、要素の登場回数
    C = [0] * (maxA + 1)
    for a in A:
        C[a] += 1

    pc = True

    # p の倍数である個数をカウントする
    for p in range(2, maxA + 1):
        cnt = 0
        for k in range(maxA // p + 1):
            cnt += C[k * p]

        # k*p となるような要素が2個以上あったら、pairwise coprime ではない
        if cnt > 1:
            pc = False

    if pc:
        print("pairwise coprime")
        return

    GCD = A[0]
    for i in range(1, N):
        GCD = math.gcd(GCD, A[i])

    if GCD == 1:
        print("setwise coprime")
        return

    print("not coprime")


main()

Buggy python submission (verdict: Time Limit Exceeded):
import math
import sys
from collections import defaultdict

N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7

def factorization(n):


    """ n の素因数分解 / 基数と指数で取り出す

    """

    arr = defaultdict(int)
    tmp = n
    for i in range(2, int(-(-n**0.5 // 1)) + 1):  # sqrt(n) まで

        # i で割れるだけ割る、を繰り返す
        if tmp % i == 0:
            cnt = 0

            while tmp % i == 0:
                cnt += 1
                tmp //= i

            arr[i] = cnt  # 結果を追加

    if tmp != 1:
        arr[tmp] = 1  # まだ余っていれば追加しておく

    if arr == []:
        arr[n] = 1  # このブロック、必要か？

    return arr


N = int(sys.stdin.readline().rstrip())
A = [int(x) for x in sys.stdin.readline().rstrip().split()]

maxlist = defaultdict(int)
minlist = factorization(A[0])

pc = True
sp = True

S = set()

for a in A:
    d = factorization(a)
    # print(a, d)
    for p in d.keys():
        S.add(p)

        if min(maxlist[p], d[p]) != 0:
            pc = False
        maxlist[p] = max(maxlist[p], d[p])
    
    for p in S:
        minlist[p] = min(minlist[p], d[p])

for p in S:
    if minlist[p] != 0:
        sp = False

# print(maxlist)
# print(minlist)

if pc:
    print("pairwise coprime")
elif sp:
    print("setwise coprime")
else:
    print("not coprime")

Fixed submission:
import sys
import math


N_MAX = 200000 + 5
INF = 10**9 + 7
sys.setrecursionlimit(N_MAX)
MOD = 10**9 + 7


def main():
    N = int(sys.stdin.readline().rstrip())
    A = [int(x) for x in sys.stdin.readline().rstrip().split()]

    maxA = max(A)

    # 1 <= a <= maxA までの、要素の登場回数
    C = [0] * (maxA + 1)
    for a in A:
        C[a] += 1

    pc = True

    # p の倍数である個数をカウントする
    for p in range(2, maxA + 1):
        cnt = 0
        for k in range(maxA // p + 1):
            cnt += C[k * p]

        # k*p となるような要素が2個以上あったら、pairwise coprime ではない
        if cnt > 1:
            pc = False

    if pc:
        print("pairwise coprime")
        return

    GCD = A[0]
    for i in range(1, N):
        GCD = math.gcd(GCD, A[i])

    if GCD == 1:
        print("setwise coprime")
        return

    print("not coprime")


main()