Buggy python submission (verdict: Time Limit Exceeded):
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===


class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())


def main():
    n = ni()
    a = na()

    # 素因数分解　10**12でもOK
    def prime_factorize(n):
        a = set()
        while n % 2 == 0:
            a.add(2)
            n //= 2
        f = 3
        while f * f <= n:
            if n % f == 0:
                a.add(f)
                n //= f
            else:
                f += 2
        if n != 1:
            a.add(n)
        return a

    gcd = [set() for _ in range(n)]
    for i, ai in enumerate(a):
        gcd[i] = prime_factorize(ai)

    pc = True
    tc = True

    res = [0 for _ in range(10 ** 6 + 1)]
    for i in range(n):
        for tg in gcd[i]:
            res[tg] += 1
            if res[tg] > 1:
                pc = False
            if res[tg] == n:
                tc = False
                break

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


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===


class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())


def main():
    n = ni()
    a = na()

    tmp = len(a)

    # 素数列挙
    def Eratosthenes(n):  # N以下のすべての値に対して素数を返す
        a = [[] for _ in range(n + 1)]
        if n >= 2:
            for i in range(2, n + 1):
                if len(a[i]) == 0:
                    for j in range(i, n + 1, i):
                        a[j].append(i)
        return a

    l = max(a)
    p = Eratosthenes(l)
    cnt = [0 for _ in range(l + 1)]

    pc = True
    tc = True

    for ai in a:
        for pi in p[ai]:
            cnt[pi] += 1
            if cnt[pi] >1:
                pc = False
            if cnt[pi] == n:
                tc = False
                break


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

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===
# N以下の素数列挙
def make_prime_nums(n):
    prime_nums = [2 if n >= 2 else None]
    for i in range(3, n + 1):
        for p in prime_nums:
            if p >= int(i ** (1 / 2)) + 1:
                prime_nums.append(i)
                break
            if i % p == 0:
                break
    return prime_nums


def main():
    n = ni()
    a = na()

    prime = make_prime_nums(10 ** 3)

    pc = True
    tc = True

    for pi in prime:
        cnt = 0
        for i in range(n):
            flg = False
            while a[i] % pi == 0:
                a[i] //= pi
                flg = True
            if flg:
                cnt += 1
        if cnt > 1:
            pc = False
        if cnt == n:
            tc = False
            break

    ca = collections.Counter(a)
    for k, v in ca.items():
        if k > 1:
            if ca[k] > 1:
                pc = False
            if ca[k] == n:
                tc = False
                break

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


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===


class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())


def main():
    n = ni()
    a = na()

    tmp = len(a)

    # 素数列挙
    def Eratosthenes(n):  # N以下のすべての値に対して素数を返す
        a = [[] for _ in range(n + 1)]
        if n >= 2:
            for i in range(2, n + 1):
                if len(a[i]) == 0:
                    for j in range(i, n + 1, i):
                        a[j].append(i)
        return a

    l = max(a)
    p = Eratosthenes(l)
    cnt = [0 for _ in range(l + 1)]

    pc = True
    tc = True

    for ai in a:
        for pi in p[ai]:
            cnt[pi] += 1
            if cnt[pi] >1:
                pc = False
            if cnt[pi] == n:
                tc = False
                break


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

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===


class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())


def main():
    n = ni()
    a = na()

    # N以下の素数列挙
    def make_prime_nums(n):
        prime_nums = [2 if n >= 2 else None]
        for i in range(3, n + 1):
            for p in prime_nums:
                if p >= int(i ** (1 / 2)) + 1:
                    prime_nums.append(i)
                    break
                if i % p == 0:
                    break
        return prime_nums

    prime = make_prime_nums(10 ** 3)

    pc = True
    tc = True

    for pi in prime:
        cnt = 0
        for i in range(n):
            flg = False
            while a[i] % pi == 0:
                a[i] //= pi
                flg = True
            if flg:
                cnt += 1
        if cnt > 1:
            pc = False
        if cnt == n:
            tc = False

    ca = collections.Counter(a)
    for k, v in ca.items():
        if k>1:
            if ca[k] > 1:
                pc = False
            if ca[k] == n:
                tc = False

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


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===


class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())


def main():
    n = ni()
    a = na()

    tmp = len(a)

    # 素数列挙
    def Eratosthenes(n):  # N以下のすべての値に対して素数を返す
        a = [[] for _ in range(n + 1)]
        if n >= 2:
            for i in range(2, n + 1):
                if len(a[i]) == 0:
                    for j in range(i, n + 1, i):
                        a[j].append(i)
        return a

    l = max(a)
    p = Eratosthenes(l)
    cnt = [0 for _ in range(l + 1)]

    pc = True
    tc = True

    for ai in a:
        for pi in p[ai]:
            cnt[pi] += 1
            if cnt[pi] >1:
                pc = False
            if cnt[pi] == n:
                tc = False
                break


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

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===


class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())


def main():
    n = ni()
    a = na()

    # 素因数分解　10**12でもOK
    def prime_factorize(n):
        a = set()
        while n % 2 == 0:
            a.add(2)
            n //= 2
        f = 3
        while f * f <= n:
            if n % f == 0:
                a.add(f)
                n //= f
            else:
                f += 2
        if n != 1:
            a.add(n)
        return a

    gcd = [set() for _ in range(n)]
    for i, ai in enumerate(a):
        gcd[i] = prime_factorize(ai)

    total = set()

    pc = True
    for i in range(n):
        flg = True
        for td in gcd[i]:
            if td in total:
                flg = False
                break
            else:
                total.add(td)
        if not flg:
            pc = False
            break

    tc = True
    if len(gcd[0]) == 0:
        tc = True

    for td in gcd[0]:
        flg = True
        for i in range(1, n):
            if td not in gcd[i]:
                flg = False
                break
        if flg:
            tc = False
            break

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


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
import collections
import bisect
import itertools
import decimal

# import numpy as np

# sys.setrecursionlimit(10 ** 6)
INF = 10 ** 20
MOD = 10 ** 9 + 7
# MOD = 998244353

ni = lambda: int(sys.stdin.readline().rstrip())
ns = lambda: map(int, sys.stdin.readline().rstrip().split())
na = lambda: list(map(int, sys.stdin.readline().rstrip().split()))
na1 = lambda: list(map(lambda x: int(x) - 1, sys.stdin.readline().rstrip().split()))


# ===CODE===


class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())


def main():
    n = ni()
    a = na()

    tmp = len(a)

    # 素数列挙
    def Eratosthenes(n):  # N以下のすべての値に対して素数を返す
        a = [[] for _ in range(n + 1)]
        if n >= 2:
            for i in range(2, n + 1):
                if len(a[i]) == 0:
                    for j in range(i, n + 1, i):
                        a[j].append(i)
        return a

    l = max(a)
    p = Eratosthenes(l)
    cnt = [0 for _ in range(l + 1)]

    pc = True
    tc = True

    for ai in a:
        for pi in p[ai]:
            cnt[pi] += 1
            if cnt[pi] >1:
                pc = False
            if cnt[pi] == n:
                tc = False
                break


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

if __name__ == '__main__':
    main()