qyliang/CodeNanoFix huggingface dataset:
Buggy code:
from itertools import combinations
import fractions
n = int(input())
ans = 0
for r in range(1,4): 
    if r>n:
        break
    for x  in combinations([x+1 for x in range(n)],r):
        if len(x)==1:
            ans += x[0]
        elif len(x)==2:
            ans += fractions.gcd(x[0],x[1])*6
        else:
            tmp = fractions.gcd(x[0],x[1])
            ans += fractions.gcd(x[2],tmp)*6

Fixed code:
from itertools import combinations
import math
n = int(input())
ans = 0
for r in range(1,4): 
    if r>n:
        break
    for x  in combinations([x+1 for x in range(n)],r):
        if len(x)==1:
            ans += x[0]
        elif len(x)==2:
            ans += math.gcd(x[0],x[1])*6
        else:
            tmp = math.gcd(x[0],x[1])
            ans += math.gcd(x[2],tmp)*6
print(ans)
Buggy code:
from fractions import gcd
def solve():
    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 += gcd(gcd(a,b), c)
    
    print(ans)

if __name__ == '__main__':
    solve()


Fixed code:
from math import gcd
def solve():
    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 += gcd(gcd(a,b), c)
    
    print(ans)

if __name__ == '__main__':
    solve()
Buggy code:
from functools import reduce

k = int(input())

wa = 0

for a in range(1,k+1):
    for b in range(a+1,k+1):
        for c in range(b+1,k+1):
            li = [a,b,c]
            wa += reduce(math.gcd,li)*6

for a in range(1,k+1):
    for b in range(a+1,k+1):
        wa += math.gcd(a,b)*6

for a in range(1,k+1):
    wa += a
    
print(wa)

Fixed code:
import math
from functools import reduce
import sys
sys.setrecursionlimit(2000000)

k = int(input())

wa = 0

for a in range(1,k+1):
    for b in range(a+1,k+1):
        for c in range(b+1,k+1):
            li = [a,b,c]
            wa += reduce(math.gcd,li)*6

for a in range(1,k+1):
    for b in range(a+1,k+1):
        wa += math.gcd(a,b)*6

for a in range(1,k+1):
    wa += a
    

print(wa)
Buggy code:
from itertools import combinations_with_replacement


def euclidean(num_list: list):
    a, b = sorted(num_list)
    while b % a != 0:
        redi = b % a
        b = a
        a = redi
    return a


K = int(input())
k_range = list(range(1, K+1))

result = 0
for comb in combinations_with_replacement(k_range, 3):
    min_abc = min(comb)
    gcd = euclidean(comb[0:2])
    gcd = euclidean([gcd, comb[2]])
    if comb[0]==comb[1] and comb[1]==comb[2]:
        coef = 1
    elif (comb[0]!=comb[1] and comb[1]!=comb[2]) and comb[2]!=comb[0]:
        coef = 6
    else:
        coef = 3
    result += i * coef
print(result)

Fixed code:
from itertools import combinations_with_replacement


def euclidean(num_list: list):
    a, b = sorted(num_list)
    while b % a != 0:
        redi = b % a
        b = a
        a = redi
    return a


K = int(input())
k_range = list(range(1, K+1))

result = 0
for comb in combinations_with_replacement(k_range, 3):
    min_abc = min(comb)
    gcd = euclidean(comb[0:2])
    gcd = euclidean([gcd, comb[2]])
    if comb[0]==comb[1] and comb[1]==comb[2]:
        coef = 1
    elif (comb[0]!=comb[1] and comb[1]!=comb[2]) and comb[2]!=comb[0]:
        coef = 6
    else:
        coef = 3
    result += gcd * coef
print(result)
Buggy code:
from gcd import math
K=int(input())
res=0
for i in range(1,K):
     for j in range(1,K):
            for k in range(1,K):
                res=res+gcd(gcd(i,j),k)
print(res)

Fixed code:
from math import gcd 
K=int(input())
res=0
for i in range(1,K+1):
     for j in range(1,K+1):
            for k in range(1,K+1):
                res += gcd(gcd(i,j),k)
print(res)
Buggy code:
def main():
    from math import gcd

    K=int(input())
    cal=0
    for a in range(1,K+1):
        for b in range(1,K+1):
            i=gcd(a,b)

        for c in range(1,K+1):
            cal+=gcd(i,c)

    print(cal)


main()


Fixed code:
def main():
    from math import gcd

    K=int(input())
    cal=0
    for a in range(1,K+1):
        for b in range(1,K+1):
            i=gcd(a,b)
            for c in range(1,K+1):
                cal+=gcd(i,c)

    print(cal)


main()
Buggy code:
import itertools
import math
import fractions
import functools
k = int(input())



sum = 0
for i in range(1,k+1):
    for j in range(1,k+1):
        gcd1 = fractions.gcd(i, j)
        for l in range(1,k+1):
            sum += fractions.gcd(gcd1,l)

print(sum)

Fixed code:
import itertools
import math
import fractions
import functools
k = int(input())



sum = 0
for i in range(1,k+1):
    for j in range(1,k+1):
        gcd1 = math.gcd(i, j)
        for l in range(1,k+1):
            sum += math.gcd(gcd1,l)

print(sum)
Buggy code:
n=int(input())
ans=0
d={}
if n==1:
    print(1)
for a in range(1,n+1):
    for b in range(1,n+1):
        p=math.gcd(a,b)
        if d.get(p)!=None:
            d[p]+=1
        else:
            d[p]=1
for c in range(1,n+1):
    for e in range(1,n+1):
        p=math.gcd(c,e)
        ans+=d[e]*p
print(ans)        

Fixed code:
import math
n=int(input())
ans=0
d={}
for a in range(1,n+1):
    for b in range(1,n+1):
        p=math.gcd(a,b)
        if d.get(p)!=None:
            d[p]+=1
        else:
            d[p]=1
for c in range(1,n+1):
    for e in range(1,n+1):
        p=math.gcd(c,e)
        ans+=d[e]*p
print(ans)
Buggy code:
import numpy as np
#import math
from fractions import gcd

def main():

    ##get int
    first_input = list(map(lambda x:int(x), input().split(" ")))
    #second_input = list(map(lambda x:int(x), input().split(" ")))

    ##get float
    #first_input = list(map(lambda x:float(x), input().split(" ")))
    #second_input = list(map(lambda x:float(x), input().split(" ")))

    ##get string
    #first_input = input().split(" ")

    K = first_input[0]

    gcd_sum = 0
    for a in range(1,K+1):
        for b in range(1,K+1):
            for c in range(1,K+1):
                gcd_sum = gcd_sum + gcd(gcd(a,b),c)

    print(gcd_sum)

if __name__ == '__main__':
    main()


Fixed code:
#import numpy as np
import math
#from fractions import gcd

def main():

    ##get int
    first_input = list(map(lambda x:int(x), input().split(" ")))
    #second_input = list(map(lambda x:int(x), input().split(" ")))

    ##get float
    #first_input = list(map(lambda x:float(x), input().split(" ")))
    #second_input = list(map(lambda x:float(x), input().split(" ")))

    ##get string
    #first_input = input().split(" ")

    K = first_input[0]

    gcd_sum = 0
    for a in range(1,K+1):
        for b in range(1,K+1):
            for c in range(1,K+1):
                gcd_sum = gcd_sum + math.gcd(math.gcd(a,b),c)

    print(gcd_sum)

if __name__ == '__main__':
    main()
Buggy code:
import fractions
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 += fractions.gcd(a, fractions.gcd(b,c))
print(ans)

Fixed code:
K = int(input())

import math
ans = 0

for a in range(1,K+1):
  for b in range(1,K+1):
    for c in range(1,K+1):
      ans += math.gcd(math.gcd(a,b),c)

print(ans)
Buggy code:
import math
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 += math.gcd(a, math.gcd(b,c))
print(ans)

Fixed code:
import math
K = int(input())
ans = 0
for a in range(1,K+1):
    for b in range(1,K+1):
        tmp = math.gcd(a,b)
        for c in range(1,K+1):
            ans += math.gcd(tmp,c)
print(ans)
Buggy code:
import math
k=int(input())
s=0
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            k+=math.gcd(math.gcd(a,b),c)
print(k)

Fixed code:
from math import gcd
k=int(input())
s=0
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            s+=gcd(gcd(a,b),c)
print(s)
Buggy code:
import math
n=int(input())
for i in range(1,n+1):
  for j in range(1,n+1):
    for k in range(1,n+1):
      ans+=math.gcd(i,math.gcd(j,k))
print(ans)

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

K=int(input())
S=0

for i in range(1,K+1):
  for j in range(1,K+1):
    for k in range(1,K+1):
      S+=gcd(gcd(i,j),k)

print(S)

Fixed code:
import math

K = int(input())
S = 0

for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            S += math.gcd(i,math.gcd(j,k))


print(S)
Buggy code:
k = int(input())
 
def gcd2(a,b):
    return gcd2(b,a%b)

def gcd3(a,b,c):
    return gcd2(gcd2(a,b), c)

ans = 0
for i in range(1,k+1):
    for j in range(i,k+1):
        for m in range(j, k+1):
            if i == j == m:
                ans += gcd3(i,j,m)
            elif i == j or j == m:
                ans += gcd3(i,j,m)*3
            else:
                ans += gcd3(i,j,m)*6

print(ans)

Fixed code:
k = int(input())
 
def gcd2(a,b):
    if b == 0:
        return a
    return gcd2(b,a%b)

def gcd3(a,b,c):
    return gcd2(gcd2(a,b), c)

ans = 0
for i in range(1,k+1):
    for j in range(i,k+1):
        for m in range(j, k+1):
            if i == j == m:
                ans += gcd3(i,j,m)
            elif i == j or j == m:
                ans += gcd3(i,j,m)*3
            else:
                ans += gcd3(i,j,m)*6

print(ans)
Buggy code:
import fractions
K = int(input())
ans = 0
for i in range(1,K+1):
	for j in range(1,K+1):
		for n in range(1,K+1):
			tmp = fractions.gcd(i,j)
			ans += fractions.gcd(tmp,n)
print(ans)

Fixed code:
import math
K = int(input())
ans = 0
for i in range(1,K+1):
	for j in range(1,K+1):
		tmp = math.gcd(i,j)
		for n in range(1,K+1):
			ans += math.gcd(tmp,n)
print(ans)
Buggy code:
import fractions

K = int(input())
g = 0
for i in range(1, K+1):
    for j in range(1, i+1):
        for k in range(1, j+1):
            a = fractions.gcd(i, j)
            b = fractions.gcd(a, k)
            if i != j != k:
                g += b*6
            elif i == j == k:
                g += b
            else:
                g += b*3


print(g)


Fixed code:
import math

K = int(input())
g = 0
for i in range(1, K+1):
    for j in range(1, i+1):
        for k in range(1, j+1):
            a = math.gcd(i, j)
            b = math.gcd(a, k)
            if i != j != k:
                g += b*6
            elif i == j == k:
                g += b
            else:
                g += b*3

print(g)
Buggy code:
k = int(input())
from fractions import gcd

ans=0
for i in range(k):
    ans+=i+1
    for j in range(i+1, k):
        x=gcd(i+1,j+1)
        ans+=6*gcd(i+1,j+1)
        for l in range(j+1, k):
            ans+=6*gcd(x,l+1)
print(ans)


Fixed code:
k = int(input())
from math import gcd

ans=0
for i in range(k):
    ans+=i+1
    for j in range(i+1, k):
        x=gcd(i+1,j+1)
        ans+=6*gcd(i+1,j+1)
        for l in range(j+1, k):
            ans+=6*gcd(x,l+1)
print(ans)
Buggy code:
import math
ans = 0
n = int(input())
for i in range(1,k+1):
    for j in range(1,k+1):
        for k in range(1,k+1):
            ans += math.gcd(i,math.gcd(j,k))
print(ans)

Fixed code:
import math
ans = 0
n = int(input())
for i in range(1,n+1):
    for j in range(1,n+1):
        t = math.gcd(i,j)
        for k in range(1,n+1):
            ans += math.gcd(t,k)
print(ans)
Buggy code:
from fractions import gcd
k = int(input())
total = 0
ab_gcd = []
for a in range(1,k+1):
    for b in range(1,k+1):
        ab_gcd.append(gcd(a,b))
for ab in ab_gcd:
    for c in range(1,k+1):
        abc = gcd(ab,c)
        total += abc
print(total)

Fixed code:
from math import gcd
k = int(input())
total = 0
ab_gcd = []
for a in range(1,k+1):
    for b in range(1,k+1):
        ab_gcd.append(gcd(a,b))
for ab in ab_gcd:
    for c in range(1,k+1):
        abc = gcd(ab,c)
        total += abc
print(total)
Buggy code:
import math
l = int(input())
s = 0
for i in range(l):
  for j in range(l):
    t = math.gcd(i,j)
    for k in range(l):
      s += math.gcd(t,k)
print(s)

Fixed code:
import math
l = int(input())
s = 0
for i in range(1,l+1):
  for j in range(1,l+1):
    t = math.gcd(i,j)
    for k in range(1,l+1):
      s += math.gcd(t,k)
print(s)
Buggy code:
import math
n = int(input())
res = 0
for i in range(1,n):
  for j in range(1,n):
    for k in range(1,n):
      res += math.gcd(math.gcd(i,j),k)
print(res)

Fixed code:
import math
n = int(input())
res = 0
for i in range(1,n+1):
  for j in range(1,n+1):
    for k in range(1,n+1):
      res += math.gcd(math.gcd(i,j),k)
print(res)
Buggy code:
import math
K=int(input())
s=0
for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            s+=math.gcd(math.gcd(i,j),j)
print(s)        

Fixed code:
from math import gcd
K=int(input())
s=0
for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            s+=gcd(gcd(i,j),k)
print(s)
Buggy code:
import math
from functools import reduce
from sys import stdin
import itertools

def gcd(*numbers):
    return reduce(math.gcd, numbers)
  
def main:
  N = int(stdin.readline())
  N_list = list(range(1, N+1))
  
  ans = 0
  
  for xs in itertools.combinations_with_replacement(N_list, 3):
    if len(set(xs)) == 1:
      ans += gcd(xs[0], xs[1], xs[2])
    elif len(set(xs)) == 2:
      ans += 3*gcd(xs[0], xs[1], xs[2])
    else:
      ans += 6*gcd(xs[0], xs[1], xs[2])
      
  print(ans)

if __name__ == '__main__':
  main()

Fixed code:
import math
from functools import reduce
from sys import stdin
import itertools

def gcd(*numbers):
    return reduce(math.gcd, numbers)
  
def main():
  N = int(stdin.readline())
  N_list = list(range(1, N+1))
  
  ans = 0
  
  for xs in itertools.combinations_with_replacement(N_list, 3):
    if len(set(xs)) == 1:
      ans += gcd(xs[0], xs[1], xs[2])
    elif len(set(xs)) == 2:
      ans += 3*gcd(xs[0], xs[1], xs[2])
    else:
      ans += 6*gcd(xs[0], xs[1], xs[2])
      
  print(ans)

if __name__ == '__main__':
  main()
Buggy code:
from fractions import gcd
k = int(input())

ans = 0

lst = [[0 for _ in range(1, k+1)] for __ in range(k+1)]
cnt = [0 for _ in range(1, k+1)]


for i in range(1, k+1):
    for j in range(1, k+1):
        tmp = gcd(i,j)
        for l in range(1,k+1):
            ans += gcd(tmp,l)
            
print(ans)


Fixed code:
from math import gcd
k = int(input())

ans = 0

lst = [[0 for _ in range(1, k+1)] for __ in range(k+1)]
cnt = [0 for _ in range(1, k+1)]


for i in range(1, k+1):
    for j in range(1, k+1):
        tmp = gcd(i,j)
        for l in range(1,k+1):
            ans += gcd(tmp,l)
            
print(ans)
Buggy code:
import math
k = int(input())

ans = 0
for a in range(k+1, 1, -1):
    for b in range(k+1, 1, -1):
        for c in range(k+1, 1, -1):
            ans += math.gcd(a, math.gcd(b, c))
print(ans)

Fixed code:
import math

k = int(input())

ans = 0
for a in range(1, k+1):
    for b in range(1, k+1):
        tmp = math.gcd(a, b)
        for c in range(1, k+1):
            ans += math.gcd(tmp, c)
print(ans)
Buggy code:
import math

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



Fixed code:
from math import gcd

k = int(input())
sum = 0
for i in range(1, k + 1):
    for j in range(1, k + 1):
        for m in range(1, k + 1):
            sum += gcd(gcd(i, j), m)
print(sum)
Buggy code:
import sys
import fractions
from collections import Counter, defaultdict, deque
from functools import reduce

input = sys.stdin.readline
sys.setrecursionlimit(10 ** 6)


def I():
    return int(input())


def MI():
    return map(int, input().split())


def LI():
    return list(MI())


def LIN(n: int):
    return [I() for _ in range(n)]


inf = float("inf")
mod = 10 ** 9 + 7


def main():
    k = I()

    def gcd(number):
        return fractions.gcd(fractions.gcd, number)

    sum = 0
    for a in range(1, k + 1):
        for b in range(1, k + 1):
            for c in range(1, k + 1):
                sum += gcd(a, b, c)

    print(sum)


if __name__ == "__main__":
    main()


Fixed code:
import sys
import math
from collections import Counter, defaultdict, deque
from functools import reduce

input = sys.stdin.readline
sys.setrecursionlimit(10 ** 6)


def I():
    return int(input())


def MI():
    return map(int, input().split())


def LI():
    return list(MI())


def LIN(n: int):
    return [I() for _ in range(n)]


inf = float("inf")
mod = 10 ** 9 + 7


def main():
    k = I()

    def gcd(a, b, c):
        return math.gcd(math.gcd(a, b), c)

    sum = 0
    for a in range(1, k + 1):
        for b in range(1, k + 1):
            for c in range(1, k + 1):
                if a == b or a == c:
                    sum += math.gcd(b, c)
                elif b == c:
                    sum += math.gcd(a, c)
                else:
                    sum += gcd(a, b, c)

    print(sum)


if __name__ == "__main__":
    main()
Buggy code:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(float(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Fixed code:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())
Buggy code:
mport math
k = int(input())
ans = 0
for i in range(1, k + 1):
    for j in range(1, k + 1):
        gcd1 = math.gcd(i, j)
        for l in range(1, k + 1):
            gcd2 = math.gcd(gcd1, l)
            ans += gcd2
print(ans)

Fixed code:
import math
k = int(input())
ans = 0
for i in range(1, k + 1):
    for j in range(1, k + 1):
        gcd1 = math.gcd(i, j)
        for l in range(1, k + 1):
            gcd2 = math.gcd(gcd1, l)
            ans += gcd2
print(ans)
Buggy code:
a=int(input())
import math
print(sum(gcd(gcd(i,j),k)for i in range(1,a+1) for j in range(1,a+1) for k in range(1,a+1)))

Fixed code:
a=int(input())
import math
print(sum(math.gcd(math.gcd(i,j),k)for i in range(1,a+1) for j in range(1,a+1) for k in range(1,a+1)))
Buggy code:
import math
K = int(input())
count = 0
for i in range(1,K+1):
    for j in range(i,K+1):
        for k in range(1,K+1):
            if i != j:
                count += math.gcd(math.gcd(i,j),k)
            else:
                count += math.gcd(math.gcd(i,j),k)
print(count)

Fixed code:
import math
K = int(input())
count = 0
for i in range(1,K+1):
    for j in range(i,K+1):
        for k in range(1,K+1):
            if i != j:
                count += 2 * math.gcd(math.gcd(i,j),k)
            else:
                count += math.gcd(math.gcd(i,j),k)
print(count)
Buggy code:
k = int(input())
sum = 0


def euclid(a, b):
    while b:
        a, b = b, a % b
    return a


for a in range(1, k + 1):
    for b in range(a, k + 1):
        for c in range(b, k + 1):
            if a == b == c:
                sum += a
            elif a == b or b == c:
                sum += euclid(euclid(a, b), c) * 3
            else:
                sum += euclid(euclid(a, b), c) * 6
                print(sum)


Fixed code:
k = int(input())
sum = 0


def euclid(a, b):
    while b:
        a, b = b, a % b
    return a


for a in range(1, k + 1):
    for b in range(a, k + 1):
        for c in range(b, k + 1):
            if a == b == c:
                sum += a
            elif a == b or b == c:
                sum += euclid(euclid(a, b), c) * 3
            else:
                sum += euclid(euclid(a, b), c) * 6
print(sum)
Buggy code:
import math

k = int(input())

gcd_sum_dict = collections.defaultdict(int)
for i in range(1, k+1):
    gcd_sum_dict[i] = 0
    for j in range(1, k+1):
        gcd_sum_dict[i] += gcd(i, j)

ans = 0
for i in range(1, k+1):
    for j in range(1, k+1):
        ans += gcd_sum_dict[gcd(i, j)]

print(ans)

Fixed code:
import math
import collections

k = int(input())

gcd_sum_dict = collections.defaultdict(int)
for i in range(1, k+1):
    gcd_sum_dict[i] = 0
    for j in range(1, k+1):
        gcd_sum_dict[i] += math.gcd(i, j)

ans = 0
for i in range(1, k+1):
    for j in range(1, k+1):
        ans += gcd_sum_dict[math.gcd(i, j)]

print(ans)
Buggy code:
from math import gcd
 
K = int(input());
gcd = 0;

for a in range(1,K+1):
  for b in range(1,K+1):
    for c in range(1,K+1):
      gcd += gcd(gcd(a,b),c);

print(gcd)


Fixed code:
from math import gcd
 
K = int(input());
sum = 0;

for a in range(1,K+1):
  for b in range(1,K+1):
    for c in range(1,K+1):
      sum += gcd(gcd(a,b),c);

print(sum)
Buggy code:
k = int(input())

def gcd(x, y): 
    while(y): 
        x, y = y, x % y 
  
    return x

mat = [[0 for i in range(201)] for j in range(201)]
print(len(mat), len(mat[0]))

for i in range(201):
    for j in range(201):
        mat[i][j] = gcd(i, j)

sm = 0
for a in range(1, k + 1):
    for b in range(1, k + 1):
        for c in range(1, k + 1):
            sm += mat[mat[a][b]][c]

print(sm)

Fixed code:
k = int(input())

def gcd(x, y): 
    while(y): 
        x, y = y, x % y 
  
    return x

mat = [[0 for i in range(201)] for j in range(201)]

for i in range(201):
    for j in range(201):
        mat[i][j] = gcd(i, j)

sm = 0
for a in range(1, k + 1):
    for b in range(1, k + 1):
        for c in range(1, k + 1):
            sm += mat[mat[a][b]][c]

print(sm)
Buggy code:
import math
from functools import reduce
import itertools


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


k = int(input())
items = list(range(1, k+1))
ans = 6 * sum(items)
ans += sum([6 * gcd_list(item) for item in itertools.combinations(items, 2)])
ans += sum([6 * gcd_list(item) for item in itertools.combinations(items, 3)])

print(ans)



Fixed code:
import math
from functools import reduce
import itertools


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


k = int(input())
items = list(range(1, k+1))
ans = sum(items)
ans += sum([6 * gcd_list(item) for item in itertools.combinations(items, 2)])
ans += sum([6 * gcd_list(item) for item in itertools.combinations(items, 3)])

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

Fixed code:
n = int(input())
import math
ans = 0
for i in range(1, n+1):
    for j in range(1, n+1):
        for k in range(1, n+1):
            tmp = math.gcd(i,j)
            ans += math.gcd(tmp,k)
print(ans)
Buggy code:
import math
K = int(input())
ans1=0
ans2=0
ans3=0
ans = 0
for a in range(1,K-1):
    for b in range(a+1,K):
        for c in range(b+1,K+1):
            tmp = math.gcd(a,b)
            ans1 += math.gcd(c,tmp)

for a in range(1,K):
    for b in range(a+1,K+1):
        ans2 += math.gcd(a,b)

ans3 = sum(range(1,K+1))
print(ans1,ans2,ans3)
ans = ans1*6+ans2*3*2+ans3
print(ans)

Fixed code:
import math
K = int(input())
ans1=0
ans2=0
ans3=0
ans = 0
for a in range(1,K-1):
    for b in range(a+1,K):
        for c in range(b+1,K+1):
            tmp = math.gcd(a,b)
            ans1 += math.gcd(c,tmp)

for a in range(1,K):
    for b in range(a+1,K+1):
        ans2 += math.gcd(a,b)

ans3 = sum(range(1,K+1))
ans = ans1*6+ans2*3*2+ans3
print(ans)