Buggy python submission (verdict: Runtime Error):
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += math.gcd(math.gcd(i,j), g)

print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

Buggy python submission (verdict: Runtime Error):
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for k in range(1,k+1):
      ans += math.gcd(math.gcd(i,j), k)
      
print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for k in range(1,k+1):
      ans+=gcd(i,gcd(j,k))
print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd


k = int(input())
ans = 0

for a in range(1, k + 1):
  for b in range(1, k+1):
    g = gcd(a,b)
    for c in range(1, k+1):
      ans += gcd(g,c)

print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
from itertools import product
from functools import reduce

def gcd1(*numbers):
    return reduce(gcd, numbers)

k = int(input())

a = product([int(i) for i in range(1,k+1)], repeat=3)
ans = 0

for i in list(a):
  ans += gcd1(i[0], i[1], i[2])

print(ans)


Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd

k = int(input())
ans = 0
g = []

for a in range(1,k+1):
  g.append(a)

o = []
for b in range(1,k+1):
    for i in g:
      o.append(gcd(b,i))


for c in range(1, k+1):
  for i in o:
    ans += gcd(c,i)

print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

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

def gcd1(*numbers):
  return reduce(gcd, numbers)

k = int(input())
ans = 0
g = []
for a in range(1,k+1):

  for b in range(1,k+1):
    
    g.append(gcd(a,b))


for c in range(1, k+1):
  for i in g:
    ans += gcd(c,i)

print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

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

def gcd1(*numbers):
  return reduce(gcd, numbers)

k = int(input())
ans = 0
g = []
for a in range(1,k+1):

  for b in range(1,k+1):
    
    g.append(gcd(a,b))


for c in range(1, k+1):
  for i in g:
    ans += gcd(c,i)

print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)

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

def gcd1(*numbers):
  return reduce(gcd, numbers)

k = int(input())
ans = 0

for a in range(1,k+1):
  for b in range(1,k+1):
    for c in range(1,k+1):
      ans += gcd1(a,b,c)

print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
  for j in range(1,k+1):
    for g in range(1,k+1):
      ans += gcd(gcd(i,j), g)

print(ans)