Buggy python submission (verdict: Time Limit Exceeded):
import math
K = int(input())
result = 0
sum = 0

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

print(sum)            


Fixed submission:
K = int(input())
import math
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = math.gcd(i,j)
        for k in range(1, K+1):
            sum += math.gcd(value,k)
 
print(sum)

Buggy python submission (verdict: Time Limit Exceeded):
import math
K = int(input())
result = 0
sum = 0

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

print(sum)        

Fixed submission:
K = int(input())
import math
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = math.gcd(i,j)
        for k in range(1, K+1):
            sum += math.gcd(value,k)
 
print(sum)

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

K = int(input())
result = 0
sum = 0




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

print(sum)            


Fixed submission:
K = int(input())
import math
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = math.gcd(i,j)
        for k in range(1, K+1):
            sum += math.gcd(value,k)
 
print(sum)

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

K = int(input())
result = 0
sum = 0




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

print(sum)    

Fixed submission:
K = int(input())
import math
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = math.gcd(i,j)
        for k in range(1, K+1):
            sum += math.gcd(value,k)
 
print(sum)

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

K = int(input())
result = 0
sum = 0




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

print(sum)            



#a = list(map(int, input().split()))
#ans = a[0]
#for i in range(1, N):
#    ans = fractions.gcd(ans, a[i])
#print(ans)

Fixed submission:
K = int(input())
import math
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = math.gcd(i,j)
        for k in range(1, K+1):
            sum += math.gcd(value,k)
 
print(sum)

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

K = int(input())
result = 0
sum = 0




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

print(sum)            


Fixed submission:
K = int(input())
import math
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = math.gcd(i,j)
        for k in range(1, K+1):
            sum += math.gcd(value,k)
 
print(sum)

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

K = int(input())
result = 0
sum = 0

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

print(sum)  

Fixed submission:
K = int(input())
import math
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = math.gcd(i,j)
        for k in range(1, K+1):
            sum += math.gcd(value,k)
 
print(sum)