Buggy python submission (verdict: Time Limit Exceeded):
def factorize(n, d):
  # if n == 0 or n == 1:
    # return []
    arr = []
    tmp = n
    while True:
      i = d[tmp]
      if i == 1:
        break
      #cnt=0
      while tmp%i==0:
        #cnt+=1
        tmp //= i
      arr.append(i)
    if tmp!=1:
      arr.append(tmp)
    if arr==[]:
      arr.append(n)
    return arr

def minimum_prime(n):
  # 試し割りをする際の最小の素数
  # エラトステネスの篩と同様の実装
    d = list(range(n+1))
    d[0] = 1
    for i in range(2, int(n**0.5) + 1):
        if d[i] != i:
          continue
        for j in range(i * 2, n + 1, i):
          if d[j] == j:
            d[j] = i
    return d  

def main():
  n = int(input())
  arr = list(map(int, input().split()))
  max_arr = max(arr)
  d = minimum_prime(max_arr)
  dp = [0]*(max_arr+1)
  
  
  searched = []
  for a in arr:
    if a != 1:
      primes = factorize(a, d)
      for p in primes:
        dp[p] += 1
  
  max_dp = max(dp)
  if max_dp < 2:
    print('pairwise coprime')
  elif max_dp == n:
    print('not coprime')
  else:
    print('setwise coprime')
    

main()

Fixed submission:
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

def factorize(n, d):
  # if n == 0 or n == 1:
    # return []
    arr = []
    tmp = n
    while True:
      i = d[tmp]
      if i == 1:
        break
      #cnt=0
      while tmp%i==0:
        #cnt+=1
        tmp //= i
      arr.append(i)
    if tmp!=1:
      arr.append(tmp)
    if arr==[]:
      arr.append(n)
    return arr

def minimum_prime(n):
  # 試し割りをする際の最小の素数
  # エラトステネスの篩と同様の実装
    d = list(range(n+1))
    d[0] = 1
    for i in range(2, int(n**0.5) + 1):
        if d[i] != i:
          continue
        for j in range(i * 2, n + 1, i):
          if d[j] == j:
            d[j] = i
    return d  

def main():
  n = int(input())
  arr = list(map(int, input().split()))
  max_arr = max(arr)
  d = minimum_prime(max_arr)
  dp = [0]*(max_arr+1)
  
  if gcd(*arr) != 1:
    print('not coprime')
    exit()
  
  searched = []
  for a in arr:
    if a != 1:
      primes = factorize(a, d)
      for p in primes:
        dp[p] += 1

  if max(dp) < 2:
    print('pairwise coprime')
  else:
    print('setwise coprime')
    

main()

Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

def factorize(n, d):
  # if n == 0 or n == 1:
    # return []
    arr = []
    tmp = n
    while True:
      i = d[tmp]
      if i == 1:
        break
      #cnt=0
      while tmp%i==0:
        #cnt+=1
        tmp //= i
      arr.append(i)
    if tmp!=1:
      arr.append(tmp)
    if arr==[]:
      arr.append(n)
    return arr

def minimum_prime(n):
  # 試し割りをする際の最小の素数
  # エラトステネスの篩と同様の実装
    d = list(range(n+1))
    d[0] = 1
    for i in range(2, int(n**0.5) + 1):
        if d[i] != i:
          continue
        for j in range(i * 2, n + 1, i):
          if d[j] == j:
            d[j] = i
    return d  

def main():
  n = int(input())
  arr = list(map(int, input().split()))
  max_arr = max(arr)
  d = minimum_prime(max_arr)
  
  if gcd(*arr) != 1:
    print('not coprime')
    exit()
  
  searched = []
  for a in arr:
    if a != 1:
      primes = factorize(a, d)
      for p in primes:
        if p in searched:
          print('setwise coprime')
          exit()
        searched.append(p)

  print('pairwise coprime')
    
  
main()

Fixed submission:
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

def factorize(n, d):
  # if n == 0 or n == 1:
    # return []
    arr = []
    tmp = n
    while True:
      i = d[tmp]
      if i == 1:
        break
      #cnt=0
      while tmp%i==0:
        #cnt+=1
        tmp //= i
      arr.append(i)
    if tmp!=1:
      arr.append(tmp)
    if arr==[]:
      arr.append(n)
    return arr

def minimum_prime(n):
  # 試し割りをする際の最小の素数
  # エラトステネスの篩と同様の実装
    d = list(range(n+1))
    d[0] = 1
    for i in range(2, int(n**0.5) + 1):
        if d[i] != i:
          continue
        for j in range(i * 2, n + 1, i):
          if d[j] == j:
            d[j] = i
    return d  

def main():
  n = int(input())
  arr = list(map(int, input().split()))
  max_arr = max(arr)
  d = minimum_prime(max_arr)
  dp = [0]*(max_arr+1)
  
  if gcd(*arr) != 1:
    print('not coprime')
    exit()
  
  searched = []
  for a in arr:
    if a != 1:
      primes = factorize(a, d)
      for p in primes:
        dp[p] += 1

  if max(dp) < 2:
    print('pairwise coprime')
  else:
    print('setwise coprime')
    

main()

Buggy python submission (verdict: Time Limit Exceeded):
import copy
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]]
  
def main():
  n = int(input())
  arr = list(map(int, input().split()))
  prime = primes(max(arr))
  pf = isPair(prime, arr)
  sf = isSet(prime, arr)
  

  if pf and sf:
    print('pairwise coprime')
    exit()
  if not sf:
    print('not coprime')
    exit()
  else:
    print('setwise coprime')
    exit()

def isPair(prime, arr):
  searched = []
  for p in prime:
    for a in arr:
      if a % p == 0:
        if p in searched:
          return False
        searched += [p]
  return True

def isSet(prime, arr):
  searched = []
  for p in prime:
    if arr[0] % p == 0:
      searched.append(p)
      
  for a in arr[1:]:
    if len(searched) == 0:
      return True
    tmp = []
    for s in searched:
      if a % s == 0:
        tmp.append(s)
        
    searched = tmp
  if len(searched) == 0:
      return True
  return False
  
  
main()

Fixed submission:
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

def factorize(n, d):
  # if n == 0 or n == 1:
    # return []
    arr = []
    tmp = n
    while True:
      i = d[tmp]
      if i == 1:
        break
      #cnt=0
      while tmp%i==0:
        #cnt+=1
        tmp //= i
      arr.append(i)
    if tmp!=1:
      arr.append(tmp)
    if arr==[]:
      arr.append(n)
    return arr

def minimum_prime(n):
  # 試し割りをする際の最小の素数
  # エラトステネスの篩と同様の実装
    d = list(range(n+1))
    d[0] = 1
    for i in range(2, int(n**0.5) + 1):
        if d[i] != i:
          continue
        for j in range(i * 2, n + 1, i):
          if d[j] == j:
            d[j] = i
    return d  

def main():
  n = int(input())
  arr = list(map(int, input().split()))
  max_arr = max(arr)
  d = minimum_prime(max_arr)
  dp = [0]*(max_arr+1)
  
  if gcd(*arr) != 1:
    print('not coprime')
    exit()
  
  searched = []
  for a in arr:
    if a != 1:
      primes = factorize(a, d)
      for p in primes:
        dp[p] += 1

  if max(dp) < 2:
    print('pairwise coprime')
  else:
    print('setwise coprime')
    

main()

Buggy python submission (verdict: Time Limit Exceeded):
import copy
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]]
  
def main():
  n = int(input())
  arr = list(map(int, input().split()))
  prime = primes(10**6)
  pf = isPair(prime, arr)
  sf = isSet(prime, arr)
  

  if pf and sf:
    print('pairwise coprime')
    exit()
  if not sf:
    print('not coprime')
    exit()
  else:
    print('setwise coprime')
    exit()

def isPair(prime, arr):
  searched = []
  for p in prime:
    for a in arr:
      if a % p == 0:
        if p in searched:
          return False
        searched += [p]
  return True

def isSet(prime, arr):
  searched = []
  for p in prime:
    if arr[0] % p == 0:
      searched.append(p)
      
  for a in arr[1:]:
    if len(searched) == 0:
      return True
    tmp = []
    for s in searched:
      if a % s == 0:
        tmp.append(s)
        
    searched = tmp
  if len(searched) == 0:
      return True
  return False
  
  
main()

Fixed submission:
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

def factorize(n, d):
  # if n == 0 or n == 1:
    # return []
    arr = []
    tmp = n
    while True:
      i = d[tmp]
      if i == 1:
        break
      #cnt=0
      while tmp%i==0:
        #cnt+=1
        tmp //= i
      arr.append(i)
    if tmp!=1:
      arr.append(tmp)
    if arr==[]:
      arr.append(n)
    return arr

def minimum_prime(n):
  # 試し割りをする際の最小の素数
  # エラトステネスの篩と同様の実装
    d = list(range(n+1))
    d[0] = 1
    for i in range(2, int(n**0.5) + 1):
        if d[i] != i:
          continue
        for j in range(i * 2, n + 1, i):
          if d[j] == j:
            d[j] = i
    return d  

def main():
  n = int(input())
  arr = list(map(int, input().split()))
  max_arr = max(arr)
  d = minimum_prime(max_arr)
  dp = [0]*(max_arr+1)
  
  if gcd(*arr) != 1:
    print('not coprime')
    exit()
  
  searched = []
  for a in arr:
    if a != 1:
      primes = factorize(a, d)
      for p in primes:
        dp[p] += 1

  if max(dp) < 2:
    print('pairwise coprime')
  else:
    print('setwise coprime')
    

main()