Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
m = max([c, d])
if n>m:
    n = m
    s = s[:n]
    
if '##' in s:
    print('No')
else:
    if c>d:
        if '...' in s[:d]:
            print('Yes')
        else:
            print('No')
    else:
        print('Yes') 

Fixed submission:
n, a, b, c, d = (int(i) for i in input().split())  
s = str(input())
n = len(s)

m = max([c, d])
if n>m:
    n = m
    s = s[:n]
    
if '##' in s[a-1:]:
    print('No')
elif b>c:
    print('Yes')
else:
    if c>d:
        if '...' in s[b-2:d+1]:
            print('Yes')
        else:
            print('No')
    else:
        print('Yes')

Buggy python submission (verdict: Runtime Error):
m = max([c, d])
if n>m:
    n = m
    s = s[:n]
    
if '##' in s:
    print('No')
else:
    if c>d:
        if '...' in s:
            print('Yes')
        else:
            print('No')
    else:
        print('Yes') 

Fixed submission:
n, a, b, c, d = (int(i) for i in input().split())  
s = str(input())
n = len(s)

m = max([c, d])
if n>m:
    n = m
    s = s[:n]
    
if '##' in s[a-1:]:
    print('No')
elif b>c:
    print('Yes')
else:
    if c>d:
        if '...' in s[b-2:d+1]:
            print('Yes')
        else:
            print('No')
    else:
        print('Yes')
Buggy python submission (verdict: Runtime Error):
n, m = (int(_) for _ in input().split())  
skp = [[int(i) for i in input().split()] for i in range(m+1)]
sk, p = skp[:-1], skp[-1]

def judge(sw_status, sk, p):
  sk = np.array(sk) - 1
  num = sw_status[sk[1:]].sum()%2
  if num == p:
    light = 1
  else:
    light = 0
  return light

# sw_status = np.array([0 for i in range(n)])
ans = 0
for i in range(2**n):
  sw_status = [j for j in bin(i)][2:]
  for SK, P in zip(sk, p):
  	j = judge(sw_status, SK, P)
    if j==0:
      break
    else:
      ans += 1

print(ans)

Fixed submission:
import numpy as np
n, m = (int(_) for _ in input().split())  
skp = [[int(i) for i in input().split()] for i in range(m+1)]
sk, p = skp[:-1], skp[-1]

def judge(sw_status, sk, p):
    sk = (np.array(sk) - 1).tolist()
    num = sw_status[[sk[1:]]].sum()%2
    if num == p:
        light = 1
    else:
        light = 0
    return light

ans = 0
for i in range(2**n):
    sw_status = np.array([j for j in bin(i)[2:].zfill(n)]).astype(int)
    for SK, P in zip(sk, p):
        j = judge(sw_status, SK, P)
        if j is 0:
            break
    if j is 1:
        ans += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
a, b = [i for i in input().split()]

if a >= 13:
  print(b)
elif a>=6 and a<=12:
  print(b/2)
else:
  print(0)

Fixed submission:
a, b = [int(i) for i in input().split()]

if a >= 13:
  print(b)
elif a>=6 and a<=12:
  print(int(b/2))
else:
  print(0)
Buggy python submission (verdict: Time Limit Exceeded):
n, m = (int(i) for i in input().split()) 
l = [[int(i) for i in input().split()] for i in range(m)]  

ans = 0
for i in range(1, n+1):
  c = 0
  for ll in l:
    if i>=ll[0] and i<=ll[1]:
      c += 1
    else:
      break
  if c == m:
    ans += 1
    
print(ans)

Fixed submission:
n, m = (int(i) for i in input().split()) 
l = [[int(i) for i in input().split()] for i in range(m)]

import numpy as np
nl = np.array(l)
mrange = l[(nl[:, 1] - nl[:, 0]).argmin()]

def judge(l):
  a = l[1]<mrange[0]
  b = l[0]<mrange[0] and l[1]>=mrange[0] and l[1]<=mrange[1]
  c = l[0]>=mrange[0] and l[1]<=mrange[1]
  d = l[0]>=mrange[0] and l[0]<=mrange[1] and l[1]>mrange[1]
  e = l[0]>mrange[1]
  return a, b, c, d, e

for ll in l:
  a, b, c, d, e = judge(ll)
  if a | e:
    mrange = [1, 0]
    break
  elif b:
    mrange = [mrange[0], ll[1]]
  elif c:
    mrange = ll # これは出現することがないはず
  elif d:
    mrange = [ll[0], mrange[1]]
    
print(mrange[1] - mrange[0] + 1)
Buggy python submission (verdict: Runtime Error):
s = input()
a, b = int(s[:2]), int(s[2:])

def func(i):
  if (i==0) | (i>12):
    return 'YY'
  else:
    return 'MM'
  
ans  = func(a) + func(b)
if (ans=='YYMM') | (ans=='MMYY'):
  print (ans)
elif ans=='MMMM':
  print ('AMBIGUOUS')
else:
  print('NA')

Fixed submission:
n, k = (int(i) for i in input().split())
 
def win_num(f, k):
    i = 0
    F = f
    while F<k:
        F = f
        F = F*(2**i)
        i += 1
    if i == 0:
        return i
    else:
        return i - 1

ls = []
for f in range(n):
    wn = win_num(f+1, k)
    ls.append((1/n) * (1/2)**wn)
print(sum(ls))
Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = (int(i) for i in input().split())

c = 0
for r in range(N//R, -1, -1): 
    new1 = N - r*R
    for g in range(new1//G, -1, -1):
        new2 = new1 - g*G
        c += len([b for b in range(new2//B, -1, -1) if b*B == new2])

print(c)

Fixed submission:
R, G, B, N = (int(i) for i in input().split())

c = 0
for r in range(N//R, -1, -1): 
    new1 = N - r*R
    for g in range(new1//G, -1, -1):
        new2 = new1 - g*G
        if new2%B == 0:
            c +=1
    
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = (int(i) for i in input().split())

RGB = [R, G, B]
RGB.sort(reverse=False)

c = 0
for r in range(N//RGB[0], -1, -1): 
    new1 = N - r*RGB[0]
    for g in range(new1//RGB[1], -1, -1):
        new2 = new1 - g*RGB[1]
        c += len([b for b in range(new2//RGB[2], -1, -1) if b*RGB[2] == new2])

print(c)

Fixed submission:
R, G, B, N = (int(i) for i in input().split())

c = 0
for r in range(N//R, -1, -1): 
    new1 = N - r*R
    for g in range(new1//G, -1, -1):
        new2 = new1 - g*G
        if new2%B == 0:
            c +=1
    
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = (int(i) for i in input().split())

RGB = [R, G, B]
RGB.sort(reverse=False)

c = 0
for r in range(N//RGB[0], -1, -1): 
    new1 = N - r*RGB[0]
    for g in range(new1//RGB[1], -1, -1):
        new2 = new1 - g*RGB[1]
        for b in range(new2//RGB[2], -1, -1):
            if b*RGB[2] == new2:
                c += 1

print(c)

Fixed submission:
R, G, B, N = (int(i) for i in input().split())

c = 0
for r in range(N//R, -1, -1): 
    new1 = N - r*R
    for g in range(new1//G, -1, -1):
        new2 = new1 - g*G
        if new2%B == 0:
            c +=1
    
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = (int(i) for i in input().split())

c = 0
for r in range(N//R, -1, -1): 
    new1 = N - r*R
    for g in range(new1//G, -1, -1):
        new2 = new1 - g*G
        for b in range(new2//B, -1, -1):
            if b*B == new2:
                c += 1

print(c)

Fixed submission:
R, G, B, N = (int(i) for i in input().split())

c = 0
for r in range(N//R, -1, -1): 
    new1 = N - r*R
    for g in range(new1//G, -1, -1):
        new2 = new1 - g*G
        if new2%B == 0:
            c +=1
    
print(c)
Buggy python submission (verdict: Runtime Error):
x=intput()
if x=='ABC':
    print("ARC")
else:
    print("ABC")


Fixed submission:
x=input()
if x=='ABC':
    print("ARC")
else:
    print("ABC")
Buggy python submission (verdict: Time Limit Exceeded):
import math

K = int(input())

res = 0

for a in range(1, K+1):
    for b in range(1, K+1):
        for c in range(1, K+1):
            tmp = math.gcd(a, math.gcd(b,c))
            #print(tmp)
            res+=tmp


print(res)



Fixed submission:
import math

K = int(input())

res = [math.gcd(a, math.gcd(b,c))  for a in range(1, K+1) for b in range(1, K+1) for c in range(1, K+1)]
 


print(sum(res))
Buggy python submission (verdict: Runtime Error):
A = input()

if A == "Sunny":
    print("Cloudy")
else A == "Cloudy":
    print("Rainy")
else:
    print("Sunny")


Fixed submission:
A = input()

if A == "Sunny":
    print("Cloudy")
elif A == "Cloudy":
    print("Rainy")
else:
    print("Sunny")
Buggy python submission (verdict: Runtime Error):
S = list(input())

for c in range(1,len(S)+1):
    if c%2==1: 
        if S[c] == 'L':
            print('No')
            break
    else:
        if S[c] == 'R':
            print('No')
            break
else:
    print('Yes')


Fixed submission:
S = list(input())

for c in range(1,len(S)+1):
    if c%2==1: 
        if S[c-1] == 'L':
            print('No')
            break
    else:
        if S[c-1] == 'R':
            print('No')
            break
else:
    print('Yes')
Buggy python submission (verdict: Time Limit Exceeded):
N, K, Q = map(int, input().split())

P = [int(K) for i in range(N)]

for q in range(Q):
    P[int(input())-1] += 1
    for k in range(N):
        P[k] -= 1

for k in range(N):
    if P[k] > 0:
        print('Yes')
    else:
        print('No')


Fixed submission:
N, K, Q = map(int, input().split())

import numpy as np
P = np.ones(N)*K

for q in range(Q):
    P[int(input())-1] += 1

P[:]-=Q

for k in range(N):
    if P[k] > 0:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Runtime Error):
L, R = map(int, input().split())

mod = []
if R+1-L<=2019:
    for i in range(L,R):
        for j in range(i+1,R+1):
            mod.append((i*j)%2019)

else:
    for i in range(L, L+2019):
        for j in range(i, L+2019+1):
            mod.append((i*j)%2019)


if len(mod)==0:
    print((L*R)%2019)
else:
    print(min(mod))


Fixed submission:
N,A,B = map(int,input().split())

if N*A < B:
    print(N*A)
else:
    print(B)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int,input().split())

cards = [1 for i in range(N)]

for i in range(M):
    L, R = map(int,input().split())
    for i in range(0,L-1):
        cards[i] = 0

    for i in range(R,N):
        cards[i] = 0


print(sum(cards))



Fixed submission:
N, M = map(int,input().split())
minL = 1
maxR = N

for i in range(M):
    L, R = map(int,input().split())
    if L > minL:
        minL = L

    if R < maxR:
        maxR = R

if maxR-minL+1 > 0:
    print(maxR-minL+1)
else:
    print(0)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int,input().split())
A = list(map(int,input().split()))

for i in range(M):
    B, C = map(int,input().split())

    counter=0
    while counter < B:
        counter+=1
        minA = min(A)
        if minA < C:
            idx = A.index(minA)
            A[idx] = C
        else:
            break


print(sum(A))




Fixed submission:
N, M = map(int,input().split())
A = list(map(int,input().split()))
A.sort(reverse=True)

BC = [[] for i in range(M)]

for i in range(M):
    BC[i]=list(map(int,input().split()))

BC = sorted(BC, key=lambda x: x[1], reverse=True)
maxC = BC[0][1]

count = 0
result = 0
while count < N:
    if len(BC) >0:
        if A[0] < BC[0][1]:
            for i in range(BC[0][0]):
                if count < N:
                    result += BC[0][1]
                    count+=1
                else:
                    break
            else:
                BC.pop(0)
        else:
            result+=A.pop(0)
            count+=1
    else:
        result+=A.pop(0)
        count+=1

print(result)
Buggy python submission (verdict: Runtime Error):
def rest(num):
    return num % 10

A = int(input())
B = int(input())
C = int(input())
D = int(input())
E = int(input())
Foods = [A,B,C,D,E]
res = 0

poplist=[]
for idx in range(5):
    if Foods[idx]%10==0:
        res += Foods[idx]
        poplist.append(idx)
while len(poplist)>0:
    idx = max(poplist)
    Foods.pop(idx)
    poplist.pop(idx)

while len(Foods) > 0:
    idx = Foods.index(max(Foods, key=rest))
    if len(Foods)>1:
        res += (Foods[idx]//10)*10+10
    else:
        res += Foods[idx]
    Foods.pop(idx)



print(res)


Fixed submission:
def rest(num):
    return num % 10

A = int(input())
B = int(input())
C = int(input())
D = int(input())
E = int(input())
Foods = [A,B,C,D,E]
res = 0

poplist=[]
for idx in range(5):
    if Foods[idx]%10==0:
        res += Foods[idx]
        poplist.append(idx)
while len(poplist)>0:
    idx = max(poplist)
    Foods.pop(idx)
    poplist.pop(poplist.index(idx))

while len(Foods) > 0:
    idx = Foods.index(max(Foods, key=rest))
    if len(Foods)>1:
        res += (Foods[idx]//10)*10+10
    else:
        res += Foods[idx]
    Foods.pop(idx)



print(res)
Buggy python submission (verdict: Runtime Error):
X,Y,Z,K = map(int,input().split())

A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

A.sort(reverse=True)
A = A[0:K]
B.sort(reverse=True)
B = B[0:K]
AB = [a+b for a in A for b in B]

AB.sort(reverse=True)

AB = AB[0:K]

C.sort(reverse=True)
C=C[0:K]
ABC = [ab+c for ab in AB for c in C]

ABC.sort(reverse=True)

for i in range(K):
    print(ABC[i])


Fixed submission:
import math

N = int(input())
A = int(input())
B = int(input())
C = int(input())
D = int(input())
E = int(input())

move= [A,B,C,D,E]
min_move =min(move) 
min_move_idx = move.index(min_move)
time = 4


time += math.ceil(N/min_move )

print(time)
Buggy python submission (verdict: Time Limit Exceeded):
X,Y,Z,K = map(int,input().split())

A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

AB=[]

A.sort(reverse=True)
A = A[0:K]
B.sort(reverse=True)
B = B[0:K]
for a in A:
    for b in B:
        AB.append(a+b)

AB.sort(reverse=True)

AB = AB[0:K]

ABC=[]
C.sort(reverse=True)
C=C[0:K]
for ab in AB:
    for c in C:
        ABC.append(ab+c)

ABC.sort(reverse=True)

for i in range(K):
    print(ABC[i])


Fixed submission:
X,Y,Z,K = map(int,input().split())

A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

A.sort(reverse=True)
A = A[0:K]
B.sort(reverse=True)
B = B[0:K]
AB = [a+b for a in A for b in B]

AB.sort(reverse=True)

AB = AB[0:K]

C.sort(reverse=True)
C=C[0:K]
ABC = [ab+c for ab in AB for c in C]

ABC.sort(reverse=True)

for i in range(K):
    print(ABC[i])

Buggy python submission (verdict: Time Limit Exceeded):
X,Y,Z,K = map(int,input().split())

A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

AB=[]

for a in A:
    for b in B:
        AB.append(a+b)

AB.sort(reverse=True)

AB = AB[0:K]

ABC=[]
for ab in AB:
    for c in C:
        ABC.append(ab+c)

ABC.sort(reverse=True)

for i in range(K):
    print(ABC[i])


Fixed submission:
X,Y,Z,K = map(int,input().split())

A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

A.sort(reverse=True)
A = A[0:K]
B.sort(reverse=True)
B = B[0:K]
AB = [a+b for a in A for b in B]

AB.sort(reverse=True)

AB = AB[0:K]

C.sort(reverse=True)
C=C[0:K]
ABC = [ab+c for ab in AB for c in C]

ABC.sort(reverse=True)

for i in range(K):
    print(ABC[i])
Buggy python submission (verdict: Runtime Error):

N, Q = map(int, input().split())
S = list(input())

AClist = [0]
counter = 0

i=0
while i+1 < N:
    if S[i:i+2] == "AC":
        counter+=1

    AClist.append(counter)
    i+=1


while Q > 0:
    l, r = input().split()
    r = int(r) 
    l = int(l)

    print(AClist[r-1]-AClist[l-1])

    Q -= 1





Fixed submission:

b = input()

if b == "A":
  print("T")
elif b == "T":
  print("A")
elif b == "G":
  print("C")
elif b == "C":
  print("G")
Buggy python submission (verdict: Runtime Error):

S = list(input())
ACGT = []
lentemp = 0
while len(S)>0:
    s = S.pop(0)

    if s == "A" or s == "C" or s == "G" or s == "T":
        lentemp += 1

    else:
        ACGT.append(lentemp)
        lentemp = 0

print(max(ACGT))



Fixed submission:

S = list(input())
ACGT = []
lentemp = 0
while len(S)>0:
    s = S.pop(0)

    if s == "A" or s == "C" or s == "G" or s == "T":
        lentemp += 1

    else:
        ACGT.append(lentemp)
        lentemp = 0
ACGT.append(lentemp)

print(max(ACGT))
Buggy python submission (verdict: Runtime Error):
str = input()
if str=="SUN":
  print(7)
elif str=="MON":
  print(6)
elif str=="TUE":
  print(5)
elif str=="WED":
  print(4)
elif str=="THU":
  print(3)
elif str=="FRI":
  print(2)
else str=="SAT":
  print(1)

Fixed submission:
str = input()
if str=="SUN":
  print(7)
elif str=="MON":
  print(6)
elif str=="TUE":
  print(5)
elif str=="WED":
  print(4)
elif str=="THU":
  print(3)
elif str=="FRI":
  print(2)
else :
  print(1)
Buggy python submission (verdict: Runtime Error):
a,b,k = map(int input().split())

if k>a+b:
    print("0 0")    
elif k>a:
    print("0 "+str(a+b-k))
else:
    print(str(a-k)+" "+str(b))



Fixed submission:
a,b,k = map(int, input().split())
out = 0
if k>a+b:
    print("0 0")    
elif k>a:
    out = a+b-k
    print("0 "+str(out))
else:
    print(str(a-k)+" "+str(b))
Buggy python submission (verdict: Runtime Error):
import math
x = input()
x = int(x)
if x in [2,3,5,7]:
    print(x)
elif x == 4:
    print(5)
elif x==6:
    print(7)
elif x==8:
    print(11)
else:
    while:
        flag = 0
        if x%2==0:
            x= x+1
            continue
        y = 3
        while y<math.sqrt(x):
            if x%y==0:
                break
            y=y + 2
            if y>math.sqrt(x):
                flag=1
                break
        if flag == 1:
            print(x)
            break
        x = x+2


Fixed submission:
import math
x = input()
x = int(x)
if x in [2,3,5,7]:
    print(x)
elif x == 4:
    print(5)
elif x==6:
    print(7)
elif x==8:
    print(11)
else:
    while 1:
        flag = 0
        if x%2==0:
            x= x+1
            continue
        y = 3
        while y<math.sqrt(x):
            if x%y==0:
                break
            y=y+2
            if y>math.sqrt(x):
                flag=1
                break
        if flag == 1:
            print(x)
            break
        x = x+2
Buggy python submission (verdict: Time Limit Exceeded):
n = input()
n = int(n)
p = list(map(float,input().split()))

l = [0]*(n+1)
l[0] = (1-p[0])
l[1] = p[0]

for i in range(n-1):
    t = [0]*(n+1)
    t[0] = l[0]*(1-p[i+1])
    for j in range(1,n+1):
        t[j] = l[j]*(1-p[i+1]) + l[j-1]*p[i+1]
    l = t

## 制約：Nは奇数
l.reverse()
print(sum([l[i] for i in range((n+1)//2)]))


Fixed submission:
n = input()
n = int(n)
p = list(map(float,input().split()))

l = [1]

for i in range(n):
    t1 = [j*(1-p[i]) for j in l]
    t1.append(0)
    t2 = [0]+[j*p[i] for j in l]
    l = [t1[j] + t2[j] for j in range(len(t1))]

l.reverse()
print(sum([l[i] for i in range((n+1)//2)]))
Buggy python submission (verdict: Time Limit Exceeded):
N = input()
S = input()
times = []
N = int(N)

for i in range(N):
    count = 0
    for j in range(N):
        if j < i:
            if S[j] == "W":
                count += 1
        else:
            if S[j] == "E":
                count += 1
    times.append(count)

print(min(times))

Fixed submission:
N = input()
S = input()
times = []
N = int(N)

wt = S.count("W")
et = S.count("E")
w = 0
e = 0
    
for i in S:
    if i == "W":
        w += 1
        times.append(w-1+et-e)
    else:
        e += 1
        times.append(w+et-e)
print(min(times))
Buggy python submission (verdict: Time Limit Exceeded):
N = input()
N = int(N)
A = input()
array = A.split()
ind = 0
for n in array:
    array[ind] = int(n)
    ind = ind+1

sortedarray = sorted(array)

be = sortedarray[(N//2-1)]
af = sortedarray[N//2]
for flag in array:
    ind = sortedarray.index(flag)
    if ind < N/2:
        print(af)
    else: print(be)


Fixed submission:
N = input()
N = int(N)
A = input()
array = A.split()
ind = 0
for n in array:
    array[ind] = int(n)
    ind = ind+1

sortedarray = sorted(array)

be = sortedarray[(N//2-1)]
af = sortedarray[N//2]
for flag in array:
    if flag <= be:
        print(af)
    else: print(be)

Buggy python submission (verdict: Time Limit Exceeded):
import copy
N = input()
N = int(N)
A = input()
array = A.split()
ind = 0
for n in array:
    array[ind] = int(n)
    ind = ind+1

for i in range(N):
    temp = copy.deepcopy(array)
    temp.pop(i)
    out = sorted(temp)
    ind = (N//2)-1
    print(out[ind])


Fixed submission:
N = input()
N = int(N)
A = input()
array = A.split()
ind = 0
for n in array:
    array[ind] = int(n)
    ind = ind+1

sortedarray = sorted(array)

be = sortedarray[(N//2-1)]
af = sortedarray[N//2]
for flag in array:
    if flag <= be:
        print(af)
    else: print(be)
Buggy python submission (verdict: Runtime Error):
temp1 = input()
r1 = temp1.split()
for j in range(len(r1)):
    r1[j] = int(r1[j])
temp2 = input()
r2 = temp2.split()
for j in range(len(r2)):
    r2[j] = int(r2[j])
temp3 = input()
r3 = temp3.split()
for j in range(len(r3)):
    r3[j] = int(r3[j])

r_d1 = [i for i in range(3)]
r_d2 = [i for i in range(3)]
for i in range(3):
    r_d1[i] = r2[i]-r1[i]
    r_d2[i] = r3[i]-r1[i]
if r_d1.count(r_d1[0]) == 3:
    flag = 1
else:flag = 0

if r_d2.count(r_d2[0]) == 3:
    flag = flag*1
else:flag = flag*0

if flag == 1:
    print("Yes")
else:print("No")

Fixed submission:

N = input()
A = input()

N = int(N)
A = int(A)

rest = N % 500

if rest<=A:
    print("Yes")

else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import math

k = int(input())

result = 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(math.gcd(a, b), c)

print(result)

Fixed submission:
import math
import itertools

k = int(input())
result = 0

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

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

print(result)

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

k = int(input())

result = 0

for a in range(1, k+1):
  for b in range(1, k+1):
    for c in range(1, k+1):
      n = math.gcd(a, b)
      m = math.gcd(n, c)
      result += m

print(result)

Fixed submission:
import math
import itertools

k = int(input())
result = 0

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

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

print(result)

Buggy python submission (verdict: Time Limit Exceeded):
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

k = int(input())

result = 0

for a in range(1, k+1):
  for b in range(1, k+1):
    for c in range(1, k+1):
      n = gcd(a, b)
      m = gcd(n, c)
      result += m

print(result)

Fixed submission:
import math
import itertools

k = int(input())
result = 0

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

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

print(result)

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

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

k = int(input())

result = 0

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

print(result)

Fixed submission:
import math
import itertools

k = int(input())
result = 0

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

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

print(result)
Buggy python submission (verdict: Runtime Error):
from collections import deque

k = int(input())

que = deque([1,2,3,4,5,6,7,8,9])

for n in range(0, k):
  x = que.popleft()
  if x % 10 != 0:
    que.append(x * 10 + x % 10 - 1)
  q.append(c * 10 + c % 10)
  if x % 10 != 9:
    que.append(x * 10 + x % 10 + 1)

print(x)

Fixed submission:
from collections import deque

k = int(input())

que = deque([1,2,3,4,5,6,7,8,9])

for n in range(0, k):
  x = que.popleft()
  if x % 10 != 0:
    que.append(x * 10 + x % 10 - 1)
  que.append(x * 10 + x % 10)
  if x % 10 != 9:
    que.append(x * 10 + x % 10 + 1)

print(x)