Buggy python submission (verdict: Time Limit Exceeded):
from math import gcd
N = int(input())
A = [int(i) for i in input().split()]
st=set()
pn = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997]

for a in A:
  if a == 1:
    continue
  ary=[]
  d=set()
  while a % 2 == 0:
    d.add(2)
    a//=2
  i=1
  n = 3
  while n * n <= a:
    if a % n == 0:
      a //= n
      d.add(n)
    else:
      i += 1
      if i < len(pn):
        n=pn[i]
      else:
        break
  if a > 1:
    ary.append(a)
    d.add(a)
  if st.isdisjoint(d):
    st = st | d
    continue
  # ------------------------
  n=gcd(A[0],A[1])
  for a in A[2:]:
    n=gcd(n,a)
  if n == 1:
    print("setwise coprime")
  else:
    print("not coprime")
  exit()
 
print("pairwise coprime")


Fixed submission:
N = int(input())
A = [int(i) for i in input().split()]
maxA=max(A)
pn=list(range(maxA+1))
n=2
while n*n <= maxA:
  if n == pn[n]:
    for m in range(n, len(pn), n):
      if pn[m] == m:
        pn[m] = n
  n+=1

s=set()
for a in A:
  st = set()
  while a > 1:
    st.add(pn[a])
    a//=pn[a]
  if not s.isdisjoint(st):
    break
  s |= st
else:
  print("pairwise coprime")
  exit()

from math import gcd

n = gcd(A[0], A[1])
for a in A[2:]:
  n=gcd(n,a)
if n == 1:
  print("setwise coprime")
else:
  print("not coprime")

Buggy python submission (verdict: Runtime Error):
from math import gcd
N = int(input())
A = [int(i) for i in input().split()]
st=set()
s=0
pn = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997]

for a in A:
  if a == 1:
    continue
  ary=[]
  d={}
  while a % 2 == 0:
    if 2 in d:
      d[2] += 1
    else:
      d[2] = 1
    a//=2
  i=1
  n = 3
  while n * n <= a:
    if a % n == 0:
      a //= n
      if n in d:
        d[n] += 1
      else:
        d[n] = 1
    else:
      i += 1
      n=pn[i]
  if a > 1:
    ary.append(a)
    if a in d:
      d[a]=1

  for k in d.keys():
    if k in st:
      break
    else:
      st.add(k)
  else:
    continue

  n=gcd(A[0],A[1])
  for a in A[2:]:
    n=gcd(n,a)
  if n == 1:
    print("setwise coprime")
  else:
    print("not coprime")
  exit()
 
print("pairwise coprime")


Fixed submission:
N = int(input())
A = [int(i) for i in input().split()]
maxA=max(A)
pn=list(range(maxA+1))
n=2
while n*n <= maxA:
  if n == pn[n]:
    for m in range(n, len(pn), n):
      if pn[m] == m:
        pn[m] = n
  n+=1

s=set()
for a in A:
  st = set()
  while a > 1:
    st.add(pn[a])
    a//=pn[a]
  if not s.isdisjoint(st):
    break
  s |= st
else:
  print("pairwise coprime")
  exit()

from math import gcd

n = gcd(A[0], A[1])
for a in A[2:]:
  n=gcd(n,a)
if n == 1:
  print("setwise coprime")
else:
  print("not coprime")