Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import itertools
import collections

N, K = map(int, input().split())
mod = 10**9 + 7
A = list(range(N+1))
out = 0
for i in range(N+1, K-1, -1):
  B = list(itertools.combinations(A, i))
  C = [sum(b) for b in B]
  out += len(collections.Counter(C))
print(out)

Fixed submission:
N, K = map(int, input().split())
mod = 10**9 + 7
count = 0
for n in range(K, N+2):
  maxSum = (n*(N + N-n+1))//2
  minSum = (n*(n-1))//2
  count += maxSum - minSum + 1
  count %= mod

print(count)
Buggy python submission (verdict: Runtime Error):
import itertools

N = int(input())
S = input()
out = S.count('R') * S.count('G') * S.count('B')
for i in range(1, N):
  for j in range(N-i*2):
    if (S[j], S[j+i], S[j+i*2]) in RGBs:
      out -= 1
print(out)

Fixed submission:
import itertools

N = int(input())
S = input()

R = []
G = []
B = []

RGBs = list(itertools.permutations(['R', 'G', 'B'], 3))
for i, s in enumerate(S):
  if s == 'R': R.append(i)
  if s == 'G': G.append(i)
  if s == 'B': B.append(i)
out = len(R) * len(G) * len(B)
for i in range(1, N):
  for j in range(N-i*2):
    if (S[j], S[j+i], S[j+i*2]) in RGBs:
      out -= 1
print(out)
Buggy python submission (verdict: Runtime Error):
x, y, z = map(int, input().split())
print(f"{z} {x} {y}")

Fixed submission:
x, y, z = map(int, input().split())
print("{} {} {}".format(z, x, y))
Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
q = [i for i in range(1, 10)]
for _ in range(K):
  x = q.pop(0)
  r = x%10
  if r != 0: q.append(x*10 + r - 1)
  q.append(x*10 + r)
  if r != 9: q.append(x*10 + r + 1)
print(x)

Fixed submission:
K = int(input())
Q = [i for i in range(1, 10)]
k = 0
for q in Q:
  if k >= K:
    break
  r = q%10
  if r != 0:
    Q.append(q*10 + r - 1)
    k += 1
  Q.append(q*10 + r)
  k += 1
  if r != 9:
    Q.append(q*10 + r + 1)
    k += 1
print(Q[K-1])
Buggy python submission (verdict: Time Limit Exceeded):
N, X, Y = map(int, input().split())
X -= 1
Y -= 1
L = []
for i in range(N-1):
  for j in range(i+1, N):
    L.append(min(j-i, abs(i-X)+1+abs(j-Y)))
for i in range(1, N):
  print(L.count(i))

Fixed submission:
N, X, Y = map(int, input().split())
X -= 1
Y -= 1
out = [0] * N
L = []
for i in range(N-1):
  for j in range(i+1, N):
    out[min(j-i, abs(i-X)+1+abs(j-Y))] += 1
for i in range(1, N):
  print(out[i])

Buggy python submission (verdict: Time Limit Exceeded):
N, X, Y = map(int, input().split())
X -= 1
Y -= 1
L = []
for i in range(N-1):
  for j in range(i+1, N):
    L.append(min(j-i, abs(i-X)+1+abs(j-Y)))
for i in range(1, N):
  print(L.count(i))

Fixed submission:
N, X, Y = map(int, input().split())
X -= 1
Y -= 1
out = [0] * N
L = []
for i in range(N-1):
  for j in range(i+1, N):
    out[min(j-i, abs(i-X)+1+abs(j-Y))] += 1
for i in range(1, N):
  print(out[i])
Buggy python submission (verdict: Time Limit Exceeded):
import itertools

H, W, K = map(int, input().split())
S = [input() for _ in range(H)]
ans = 1e4
for t in itertools.product([0, 1], repeat=H-1):
    cnt = t.count(1)
    SW = []
    tmp = [int(s) for s in S[0]]
    for i, c in enumerate(t):
        if c:
            SW.append(tmp)
            tmp = [int(s) for s in S[i+1]]
        else:
            tmp = [tmp[j] + int(S[i+1][j]) for j in range(W)]
    SW.append(tmp)
    H_ = len(SW)
    sums = [0] * H_
    for w in range(W):
        sumtmp = [sums[i] + SW[i][w] for i in range(H_)]
        if max(sumtmp) > K:
            cnt += 1
            sums = [SW[i][w] for i in range(H_)]
        else:
            sums = sumtmp
    ans = min(ans, cnt)
print(ans)        

Fixed submission:
import itertools

H, W, K = map(int, input().split())
S = [input() for _ in range(H)]
ans = 1e4
for t in itertools.product([0, 1], repeat=H-1):
    cnt = t.count(1)
    SW = []
    tmp = [int(s) for s in S[0]]
    for i, c in enumerate(t):
        if c:
            SW.append(tmp)
            tmp = [int(s) for s in S[i+1]]
        else:
            tmp = [tmp[j] + int(S[i+1][j]) for j in range(W)]
    SW.append(tmp)
    H_ = len(SW)
    sums = [0] * H_
    if max(itertools.chain.from_iterable(SW)) > K:
        continue
    for w in range(W):
        sumtmp = [sums[i] + SW[i][w] for i in range(H_)]
        if max(sumtmp) > K:
            cnt += 1
            sums = [SW[i][w] for i in range(H_)]
        else:
            sums = sumtmp
    ans = min(ans, cnt)
print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy
a, b, c = map(int, input().split())
if a + 2 * numpy.sqrt(a*b) + b < c:
    print("Yes")
else:
    print("No")

Fixed submission:
a, b, c = map(int, input().split())
if 0 < c - a - b and 4 * a * b < (c - a - b)**2:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import itertools
alp = [chr(ord('a') + i) for i in range(26)]
N = int(input())
allS = list(itertools.product(alp[0:N], repeat=N))
answers = []
PatternList = []
for s in allS:
    pattern = []
    letters = []
    num = 0
    for l in s:
        if not(l in letters):
            letters.append(l)
        pattern.append(letters.index(l))
    if not(pattern in PatternList):
        PatternList.append(pattern)
        answers.append(s)
for answer in answers:
    print(''.join(answer))

Fixed submission:
n = int(input())

def dfs(s, cn):
    if len(s) == n:
        print(s)
    else:
        for i in range(0, cn + 1):
            c = chr(ord('a') + i)
            if i == cn: dfs(s+c, cn+1)
            else: dfs(s+c, cn)

dfs('', 0)
Buggy python submission (verdict: Runtime Error):
hitachi = True
s = input()
for i in range(0, len(s), 2):
    if(s[i] != 'h' or s[i + 1] != 'i'):
        hitachi = False
        break
if(hitachi):
    print('Yes')
else:
    print('No')

Fixed submission:
hitachi = True
s = input()
if(len(s) % 2 != 0):
    hitachi = False
for i in range(0, len(s), 2):
    if(hitachi == False):
        break
    if(s[i] != 'h' or s[i + 1] != 'i'):
        hitachi = False
if(hitachi):
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
n, p = map(int,input().split())
D = input()
count = [0] * p
out = 0

if 10 % p == 0:
    for i in range(n):
        if int(D[i]) % p == 0:
            out += i + 1
else:
    ten = 1
    count[0] = 1
    for i in range(n):
        mod = (mod + int(D[n-i-1]) * ten) % p
        count[mod] += 1
        ten *= 10
    for c in count:
        out += (c * (c - 1)) // 2
print(out)

Fixed submission:
A = False
B = False
s=input()
for char in s:
    if char == "A":
        A = True
    if char == "B":
        B = True
if(A and B):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
n, p = map(int,input().split())
s = input()
count = 0
for i in range(1, n + 1):
    for j in range(n - i + 1):
        num = 0
        for k in range(i):
            num += int(s[j + k]) * (10 ** (i - k - 1))
        if(num % p == 0):
            count += 1
print(count)

Fixed submission:
A = False
B = False
s=input()
for char in s:
    if char == "A":
        A = True
    if char == "B":
        B = True
if(A and B):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
s = input()
n = int(input())
print(n)
for i in range(n):
    li = input().split()
    if(li[0] == '1'):
        s = s[::-1]
    else:
        if(li[1] == '1'):
            s = li[2] + s
        else:
            s = s + li[2]
print(s)

Fixed submission:
A = False
B = False
s=input()
for char in s:
    if char == "A":
        A = True
    if char == "B":
        B = True
if(A and B):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
li = list(map(int,input().split()))
a = 0
b = 0
out = 0
isA = True
for i in range(li[0]):
    if(isA):
        a += 1
        out += 1
        if(a >= li[1]):
            isA = False
            a = 0
    else:
        b += 1
        if(b >= li[2]):
            isA = True
            b = 0
print(out)

Fixed submission:
A = False
B = False
s=input()
for char in s:
    if char == "A":
        A = True
    if char == "B":
        B = True
if(A and B):
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = int(input())
isReverse = False
for i in range(n):
    Q = input().split()
    if(Q[0] == '1'):
        isReverse = not isReverse
    else:
        if Q[1] == '1':
            if isReverse: s = s + Q[2]
            else: s = Q[2] + s
        else:
            if isReverse: s = Q[2] + s
            else: s = s + Q[2]
if isReverse:s = s[::-1]
print(s)

Fixed submission:
s = input()
top = ''
n = int(input())
isReverse = False
for i in range(n):
    Q = input().split()
    if(Q[0] == '1'):
        isReverse = not isReverse
    else:
        if Q[1] == '1':
            if isReverse: s += Q[2]
            else: top += Q[2]
        else:
            if isReverse: top += Q[2]
            else: s += Q[2]
if isReverse: s = s[::-1] + top
else: s = top[::-1] + s
print(s)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = int(input())
isReverse = False
for i in range(n):
    Q = input().split()
    if(Q[0] == '1'):
        isReverse = not isReverse
    else:
        if Q[1] == '1':
            if isReverse: s = s + Q[2]
            else: s = Q[2] + s
        else:
            if isReverse: s = Q[2] + s
            else: s = s + Q[2]
if isReverse:s = s[::-1]
print(s)

Fixed submission:
s = input()
top = ''
n = int(input())
isReverse = False
for i in range(n):
    Q = input().split()
    if(Q[0] == '1'):
        isReverse = not isReverse
    else:
        if Q[1] == '1':
            if isReverse: s += Q[2]
            else: top += Q[2]
        else:
            if isReverse: top += Q[2]
            else: s += Q[2]
if isReverse: s = s[::-1] + top
else: s = top[::-1] + s
print(s)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = int(input())
for i in range(n):
    li = input().split()
    if(li[0] == '1'):
        s = s[::-1]
    else:
        if(li[1] == '1'):
            s = li[2] + s
        else:
            s = s + li[2]
print(s)

Fixed submission:
s = input()
top = ''
n = int(input())
isReverse = False
for i in range(n):
    Q = input().split()
    if(Q[0] == '1'):
        isReverse = not isReverse
    else:
        if Q[1] == '1':
            if isReverse: s += Q[2]
            else: top += Q[2]
        else:
            if isReverse: top += Q[2]
            else: s += Q[2]
if isReverse: s = s[::-1] + top
else: s = top[::-1] + s
print(s)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = int(input())
for i in range(n):
    li = input().split()
    if(li[0] == '1'):
        s = s[::-1]
    else:
        if(li[1] == '1'):
            s = li[2] + s
        else:
            s = s + li[2]
print(s)

Fixed submission:
s = input()
top = ''
n = int(input())
isReverse = False
for i in range(n):
    Q = input().split()
    if(Q[0] == '1'):
        isReverse = not isReverse
    else:
        if Q[1] == '1':
            if isReverse: s += Q[2]
            else: top += Q[2]
        else:
            if isReverse: top += Q[2]
            else: s += Q[2]
if isReverse: s = s[::-1] + top
else: s = top[::-1] + s
print(s)
Buggy python submission (verdict: Runtime Error):
import numpy as np
S = np.array([list(map(int, input().split())) for _ in range(3)])
n = int(input())
for _ in range(n):
    S = np.where(S==int(input()), 0, S)
    HBingo = min(np.sum(S, axis=0)) == 0
    WBingo = min(np.sum(S, axis=1)) == 0
    SBingo = S[2][0] == 0 and S[1][1] == 0 and S[0][2] == 0
    BSBingo = S[0][0] == 0 and S[1][1] == 0 and S[2][2] == 0
if HBingo or WBingo or SBingo or BSBingo:
    print('Yes')
    exit()
print('No')

Fixed submission:
import numpy as np
S = np.array([list(map(int, input().split())) for _ in range(3)])
n = int(input())
for _ in range(n):
    S = np.where(S==int(input()), 0, S)
if min(np.sum(S, axis=0))==0 or min(np.sum(S, axis=1))==0:
    print('Yes')
    exit()
if (S[0][0] == 0 and S[1][1] == 0 and S[2][2] == 0) or (S[2][0] == 0 and S[1][1] == 0 and S[0][2] == 0):
    print('Yes')
    exit()
print('No')

Buggy python submission (verdict: Runtime Error):
import numpy as np
S = np.array([list(map(int, input().split())) for _ in range(3)])
n = int(input())
for _ in range(n):
    S = np.where(S==int(input()), 0, S)
if min(np.sum(S, axis=0))==0 or min(np.sum(S, axis=1))==0:
    print('Yes')
    exit()
if (S[0][0] == 0 and S[1][1] == 0 and S[2][2]) or (S[2][0] == 0 and S[1][1] == 0 and S[0][2]):
    print('Yes')
    exit()
print('No')

Fixed submission:
import numpy as np
S = np.array([list(map(int, input().split())) for _ in range(3)])
n = int(input())
for _ in range(n):
    S = np.where(S==int(input()), 0, S)
if min(np.sum(S, axis=0))==0 or min(np.sum(S, axis=1))==0:
    print('Yes')
    exit()
if (S[0][0] == 0 and S[1][1] == 0 and S[2][2] == 0) or (S[2][0] == 0 and S[1][1] == 0 and S[0][2] == 0):
    print('Yes')
    exit()
print('No')
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
ans = [-1] * N
for _ in range(M):
    i, n = map(int, input().split())
    if ans[i-1] == -1 or ans[i-1] == n:
        ans[i-1] = n
    else:
        print(-1)
        exit()
ans = [n if n != -1 else 0 for n in ans]
if ans[0] == 0 and len(ans > 1):
    ans[0] = 1
print(*ans, sep='')

Fixed submission:
N, M = map(int, input().split())
ans = [-1] * N
for _ in range(M):
    i, n = map(int, input().split())
    if (ans[i-1] == -1 or ans[i-1] == n) and not(N > 1 and i == 1 and n == 0):
        ans[i-1] = n
    else:
        print(-1)
        exit()
ans = [n if n != -1 else 0 for n in ans]
if ans[0] == 0 and N > 1:
    ans[0] = 1

print(*ans, sep='')
Buggy python submission (verdict: Runtime Error):
N = list(map(int, input()))
N = N[::-1] + [0]

count = 0

def moveUp(i):
  if N[i] == 9:
    N[i] = 0
    moveUp(i+1)
  else:
    N[i] += 1

for i, n in enumerate(N):
  if n < 5:
    count += n
  elif n > 5:
    count += 10 - n
    moveUp(i+1)
  elif n == 5:
    for j in range(i+1, len(N)):
      if N[j] < 5:
        break
      if N[j] >= 5:
        moveUp(i+1)
        break
      
    count += 5
print(count)

Fixed submission:
N = list(map(int, input()))
N = N[::-1] + [0]

count = 0

for i, n in enumerate(N):
  if n < 5:
    count += n
  elif n > 5:
    count += 10 - n
    N[i+1] += 1
  elif n == 5:
    if N[i+1] >= 5:
      N[i+1] += 1
    count += 5
    
print(count)

Buggy python submission (verdict: Runtime Error):
N = list(map(int, input()))
N = N[::-1] + [0]

count = 0

def moveUp(i):
  if N[i] == 9:
    N[i] = 0
    moveUp(i+1)
  else:
    N[i] += 1

for i, n in enumerate(N):
  if n < 5:
    count += n
  elif n > 5:
    count += 10 - n
    moveUp(i+1)
  elif n == 5:
    for j in range(i+1, len(N)):
      if N[j] < 5:
        break
      if N[j] > 5:
        moveUp(i+1)
        break
      if N[j] == 5:
        continue
      
    count += 5
print(count)

Fixed submission:
N = list(map(int, input()))
N = N[::-1] + [0]

count = 0

for i, n in enumerate(N):
  if n < 5:
    count += n
  elif n > 5:
    count += 10 - n
    N[i+1] += 1
  elif n == 5:
    if N[i+1] >= 5:
      N[i+1] += 1
    count += 5
    
print(count)

Buggy python submission (verdict: Runtime Error):
N = list(map(int, input()))
N = N[::-1] + [0]
out = 0

def moveUp(i, N):
  if N[i] != 9:
      N[i] += 1
  else:
    N[i] = 0
    moveUp(i+1, N)

for i, n in enumerate(N):
  n = int(n)
  if n < 6:
    out += n
  else:
    out += 10-n
    moveUp(i+1, N)
print(out)


Fixed submission:
N = list(map(int, input()))
N = N[::-1] + [0]

count = 0

for i, n in enumerate(N):
  if n < 5:
    count += n
  elif n > 5:
    count += 10 - n
    N[i+1] += 1
  elif n == 5:
    if N[i+1] >= 5:
      N[i+1] += 1
    count += 5
    
print(count)
Buggy python submission (verdict: Time Limit Exceeded):
H, N = map(int, input().split())

magic = [tuple(map(int, input().split())) for _ in range(N)]

DP = [0] + [10**9]*H

for h in range(H):
  if DP[h] == 10**9:
    continue
  for damage, mp in magic:
    DP[min(h + damage, H)] = min(DP[min(h + damage, H)], DP[h] + mp)
print(DP[H])

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

magic = [tuple(map(int, input().split())) for _ in range(N)]

DP = [0] + [10**9]*H

for h in range(H):
  for damage, mp in magic:
    DP[min(h + damage, H)] = min(DP[min(h + damage, H)], DP[h] + mp)
print(DP[H])

Buggy python submission (verdict: Time Limit Exceeded):
H, N = map(int, input().split())

magic = [tuple(map(int, input().split())) for _ in range(N)]

DP = [0] + [10**9]*H

for h in range(H):
  for damage, mp in magic:
    DP[min(h + damage, H)] = min(DP[min(h + damage, H)], DP[h] + mp)
print(DP[H])

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

magic = [tuple(map(int, input().split())) for _ in range(N)]

DP = [0] + [10**9]*H

for h in range(H):
  for damage, mp in magic:
    DP[min(h + damage, H)] = min(DP[min(h + damage, H)], DP[h] + mp)
print(DP[H])
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
H = list(map(int, input().split()))
k = min(N, K)
DP = [0] + [10**9] * N 
for i in range(1, N):
  DP[i] = min(DP[i-j]+abs(H[i]-H[i-j]) for j in range(1, k+1))
print(DP[N-1])

Fixed submission:
import numpy as np

N, K = map(int, input().split())
H = np.array(list(map(int, input().split())) + [0]*K)

dp = np.full(N+K, 10**9, dtype=np.int64)
dp[0] = 0
for i in range(1, N):
  dp[i:i+K] = np.minimum(dp[i:i+K], dp[i-1] + np.abs(H[i:i+K] - H[i-1]))
print(dp[N-1])

Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split())
H = list(map(int, input().split()))
DP = [0] + [10**9] * N 
for i in range(1, N):
  DP[i] = min(DP[i-j]+abs(H[i]-H[i-j]) for j in range(1, K+1))
print(DP[N-1])

Fixed submission:
import numpy as np

N, K = map(int, input().split())
H = np.array(list(map(int, input().split())) + [0]*K)

dp = np.full(N+K, 10**9, dtype=np.int64)
dp[0] = 0
for i in range(1, N):
  dp[i:i+K] = np.minimum(dp[i:i+K], dp[i-1] + np.abs(H[i:i+K] - H[i-1]))
print(dp[N-1])
Buggy python submission (verdict: Runtime Error):
import numpy as np

N, W = map(int, input().split())

items = [tuple(map(int, input().split())) for _ in range(N)]
dp = np.zeros(W+1, dtype=np.int64)

for i, (w, v) in enumerate(items):
  tmp = np.zeros(W+1, dtype=np.int64)
  tmp[w:] = dp[:-w] + v
  dp = np.maximum(dp, tmp)
print(dp[W])

Fixed submission:
import numpy as np

N, W = map(int, input().split())
items = [tuple(map(int, input().split())) for _ in range(N)]

dp = np.full(10**5+1, 10**18, dtype=np.int64)
dp[0] = 0

for i, (w, v) in enumerate(items):
  tmp = dp[:-v] + w
  dp[v:] = np.minimum(dp[v:], tmp)
print(np.max(np.where(dp <= W)))

Buggy python submission (verdict: Runtime Error):
import numpy as np

N, W = map(int, input().split())
items = [tuple(map(int, input().split())) for _ in range(N)]

dp = np.zeros(W+1, dtype=np.int64)

for i, (w, v) in enumerate(items):
  tmp = dp[:-w] + v
  dp[w:] = np.maximum(dp[w:], tmp)
print(dp[W])

Fixed submission:
import numpy as np

N, W = map(int, input().split())
items = [tuple(map(int, input().split())) for _ in range(N)]

dp = np.full(10**5+1, 10**18, dtype=np.int64)
dp[0] = 0

for i, (w, v) in enumerate(items):
  tmp = dp[:-v] + w
  dp[v:] = np.minimum(dp[v:], tmp)
print(np.max(np.where(dp <= W)))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

sa = sorted(a,reverse=True)
ans = 0
ls = [sa[0]]
for v in sa[1:]:
  i = ls.index(max(ls))
  ans+= ls[i]
  new_min = min(ls[i], v)
  ls = ls[:i] + [new_min, new_min] + ls[i+1:]
  #print(ls)

print(ans)


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

sa = sorted(a,reverse=True)
ans = sa[0]
i = 2
for v in sa[1:]:
  if i >= n:
    break
  #print("i:{} ans:{}".format(i,ans))
  ans += v
  i += 1
  if i >= n:
    break
  #print("i:{} ans:{}".format(i,ans))
  ans += v
  i += 1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N =int(input())
A = list(map(int, input().split()))

cnt = 0
for i in range(N):
  for j in range(i+1,N):
    if A[i] +A[j] == abs(i-j):
      cnt += 1
      
print(cnt)

Fixed submission:
import collections
N = int(input())
A = list(map(int, input().split()))

p = collections.Counter() # +
n = collections.Counter() # -
for i in range(N):
  p[i+A[i]] += 1
  n[i-A[i]] += 1
  
ans = 0
for i in p.keys():
  ans += p[i]*n[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
A,B,C,D = map(int,input().split())

while True:
  C -= B
  if C<=0:
    print('Yes')
    break
  A -= D
  if <=0:
    print('No')
    break

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

while True:
  C -= B
  if C<=0:
    print('Yes')
    break
  A -= D
  if A<=0:
    print('No')
    break
Buggy python submission (verdict: Time Limit Exceeded):
def gcd(p,q):
  if p % q == 0:
    return q
  return gcd(q, p%q)


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)



Fixed submission:
from math import gcd

k = int(input())
ans = 0
for a in range(1,k+1):
  for b in range(1,k+1):
    x = gcd(a,b)
    for c in range(1,k+1):
        ans += gcd(x,c)
print(ans)

Buggy python submission (verdict: Runtime Error):
k = int(input())
ans = 0
for a in range(k):
  for b in range(k):
    for c in range(k):
      ans += gcd(gcd(a,b),c)
print(ans)

def gcd(p,q):
  if p % q == 0:
    return q
  return gcd(q, p%q)

Fixed submission:
from math import gcd

k = int(input())
ans = 0
for a in range(1,k+1):
  for b in range(1,k+1):
    x = gcd(a,b)
    for c in range(1,k+1):
        ans += gcd(x,c)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):

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 submission:
from math import gcd

k = int(input())
ans = 0
for a in range(1,k+1):
  for b in range(1,k+1):
    x = gcd(a,b)
    for c in range(1,k+1):
        ans += gcd(x,c)
print(ans)
Buggy python submission (verdict: Runtime Error):
a = list(map(int,input()))
s = sum(a)
if s >=22:
  print('bust')
else:
  print('win')

Fixed submission:
a = list(map(int,input().split()))
s = sum(a)
if s >=22:
  print('bust')
else:
  print('win')