Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = list(map(int, input().split()))
boolean = False
updated_lst = []
minimum = min(lst)
min_num = 0
for i in lst:
  num = i % minimum
  if (i != minimum):
    updated_lst.append(num)
  else:
    updated_lst.append(minimum)
    min_num += 1
  if (num % 2 == 1):
    boolean = True

if (min_num == len(lst)):
  print(minimum)
else:
  if (boolean):
    print(1)
  else:
    print(min(updated_lst))


Fixed submission:
A, B = map(int, input().split())
if (B % A == 0):
  print(A + B)
else:
  print(B - A)
Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = list(map(int, input().split()))
boolean = False
updated_lst = []
minimum = min(lst)
min_num = 0
for i in lst:
  num = i % minimum
  if (i != minimum):
    updated_lst.append(num)
  else:
    updated_lst.append(minimum)
    min_num += 1
  if (num % 2 == 1):
    boolean = True

if (min_num == len(lst)):
  print(minimum)
else:
  if (boolean):
    print(1)
  else:
    print(min(updated_lst)


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

Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = list(map(int, input().split()))
boolean = False
updated_lst = []
minimum = min(lst)
min_num = 0
for i in lst:
  num = i % minimum
  if (i != minimum):
    updated_lst.append(num)
  else:
    updated_lst.append(minimum)
    min_num += 1
  if (num % 2 == 1):
    boolean = True

sum = sum(updated_lst)

if (sum == minimum*min_num):
  print(minimum)
else:
  if (boolean):
    print(1)
  else:
    print(min(updated_lst)  

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

Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = list(map(int, input().split()))
boolean = False
updated_lst = []
min = min(lst)
min_num = 0
for i in lst:
  num = i % min
  if (i != min):
    updated_lst.append(num)
  else:
    updated_lst.append(min)
    min_num += 1
  if (num % 2 == 1):
    buulean = True

sum = sum(updated_lst)

if (sum == min*min_num):
  print(min)
else:
  if (boolean):
    print(1)
  else:
    print(min(updated_lst))  

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

Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = list(map(int, input().split()))
boolean = False
updated_lst = []
min = min(lst)
min_num = 0
for i in lst:
  num = i % min
  if (i != min):
    updated_lst.append(num)
  else:
    updated_lst.append(min)
    min_num += 1
  if (num % 2 == 1):
    buulean = True

sum = sum(updated_lst)

if (sum == min*min_num):
  print(min)
else:
  if (boolean):
    print(1)
  else:
    print(min(updated_lst))  

Fixed submission:
import fractions
N = int(input())
lst = list(map(int, input().split()))
ans = lst[0]
for i in range(1, N):
    ans = fractions.gcd(ans, lst[i])
print(ans)
Buggy python submission (verdict: Runtime Error):
s = int(input())
lst = []
cnt = 0
While True:
  cnt += 1
  if (s % 2 == 0):
    s = int(s / 2)
  else:
    s = int(3*s + 1)
  lst.append(s)
  if (s in lst):
    break
print(cnt)
    
    

Fixed submission:
s = int(input())
lst = []
lst.append(s)
cnt = 1
while (True):
  cnt += 1
  if (s % 2 == 0):
    s = int(s / 2)
  else:
    s = int(3*s + 1)
  if (s not in lst):
    lst.append(s)
  else:
    break
print(cnt)
Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = list(map(int, input().split()))
boolean = False
updated_lst = []
minimum = min(lst)
min_num = 0
for i in lst:
  num = i % minimum
  if (i != minimum):
    updated_lst.append(num)
  else:
    updated_lst.append(minimum)
    min_num += 1
  if (num % 2 == 1):
    boolean = True

if (min_num == len(lst)):
  print(minimum)
else:
  if (boolean):
    print(1)
  else:
    print(2)


Fixed submission:
N = int(input())

lst = list(map(int, input().split()))

ans = 0
for i in range(len(lst)-1):
  if (lst[i+1] > lst[i]):
    ans += lst[i+1] - lst[i]
print(ans + lst[0])
Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = [int(input()) for i in range(2)]
if (N == 1):
    print('Hello World')
else:
    print(sum(lst))

Fixed submission:
N = int(input())
if (N == 1):
  print('Hello World')
else:
  lst = [int(input()) for i in range(N)]
  print(sum(lst))

Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = [int(input()) for i in range(N)]
if (N == 1):
    print('Hello World')
else:
    print(sum(lst))

Fixed submission:
N = int(input())
if (N == 1):
  print('Hello World')
else:
  lst = [int(input()) for i in range(N)]
  print(sum(lst))

Buggy python submission (verdict: Runtime Error):
N = int(input())
lst = [int(input()) for i in range(N)]
if (N == 1):
    print('Hello World')
else:
    print(sum(lst))

Fixed submission:
N = int(input())
if (N == 1):
  print('Hello World')
else:
  lst = [int(input()) for i in range(N)]
  print(sum(lst))
Buggy python submission (verdict: Runtime Error):
# C
import collections
n = int(input())
lst = list(map(int, input().split()))
lst1 = lst[::2]
lst2 = lst[1::2]
dct1 = sorted(dict(collections.Counter(lst1)).items(), key=lambda x:x[1])
dct2 = sorted(dict(collections.Counter(lst2)).items(), key=lambda x:x[1])

cnt = len(dict(collections.Counter(lst)))
if (cnt == 1):
	print(int(len(lst) / 2))
elif (len(dct1) == 1 and len(dct2) == 1):
	print(0)
elif (len(dct1) == 1 and len(dct2) > 1):
	if (dct1[0][0] == dct2[0][0]):
		print(len(dct2) - dct2[1][1])
	else:
		print(len(dct2) - dct2[0][1])
elif (len(dct2) == 1 and len(dct1) > 1):
	if (dct1[0][0] == dct2[0][0]):
		print(len(dct1) - dct1[1][1])
	else:
		print(len(dct1) - dct1[0][1])
else:
	if (dct1[0][0] == dct2[0][0]):
		print(len(lst) - max(dct1[0][1] + dct2[1][1], dct1[1][1] + dct2[0][1]))
	else:
		print(len(lst) - dct1[0][1] - dct2[0][1])


Fixed submission:
s = list(input())
for i in range(len(s)):
    if (s[i] == '1'):
        s[i] = '9'
    else:
        s[i] = '1'
print("".join(s))
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())

ans = 0
for i in range(1,N+1):
  for j in range(1,N+1):
      for k in range(1,N+1):
        if ((i + j) % K == 0 and (j + k) % K == 0 and (k + i) % K == 0):
          ans += 1
print(ans)

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

ans = 0
if (K % 2 != 0):
  ans = (N // K) ** 3
else:
  for i in range(1,N+1):
    if (i % K == int(K / 2)):
      ans += 1
  ans = ans ** 3 + (N // K) ** 3
print(ans)
Buggy python submission (verdict: Runtime Error):
S = input()
K = int(input())

n = 5 * 10 ** 15

for i in S:
  if (int(i) != 1):
    ans = int(i)
    break
print(ans)

Fixed submission:
S = input()
K = int(input())

n = 5 * 10 ** 15
l = 0
ans = 0
for i in S:
  if (int(i) != 1):
    ans = int(i)
    break
  else:
    l += 1
if (l >= K):
  ans = 1

print(ans)
Buggy python submission (verdict: Runtime Error):
lst = list(map(int, input().split()))

lst.sort(reverse=True)
print(abs(lst[0] - lst[1]) + abs(lst[1] - lst[2]))

Fixed submission:
N = int(input())

lst = list(map(int, input().split()))

sum = 0
for i in lst:
  sum += i-1
print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
import collections

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

ans = N
for i in range(1, len(S)):
  n = 0
  if (i == 1):
    right = collections.Counter(S[i:])
    if 'E' in dict(right).keys():
      n = dict(right)['E']
  elif (i > 1 and i < len(S)):
    left = collections.Counter(S[:i-1])
    right = collections.Counter(S[i:])
    if 'W' in dict(left).keys():
      n += dict(left)['W']
    if 'E' in dict(right).keys():
      n += dict(right)['E']
  else:
    left = collections.Counter(S[:i-1])
    if 'W' in dict(left).keys():
      n = dict(left)['W']
  if (n < ans):
    ans = n
print(ans)

Fixed submission:
import copy

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

lst = []
lst.append({"W": 0, "E": 0})
for i in range(1,len(S)+1):
  res = {"W": 0, "E": 0}
  if S[i-1] == "W":
    res["W"] += lst[i-1]["W"] + 1
    res["E"] += lst[i-1]["E"]
  else:
    res["W"] += lst[i-1]["W"]
    res["E"] += lst[i-1]["E"] + 1
  lst.append(res)
ans = N
for i in range(1,len(lst)):
  n = 0
  if (i != len(lst)-1):
    n = lst[i-1]["W"] + (lst[-1]["E"] - lst[i]["E"])
  else:
    n = lst[i-1]["W"]
  if (n < ans):
    ans = n
print(ans)
Buggy python submission (verdict: Runtime Error):
s = input()
K = int(input())

ans = []
for i in range(K):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    if (i != 0 and c.count(c[0]) == len(c)):
      c = "".join(set(c))
    ans.append(c)
  
set_ans = sorted(set(ans))
print(set_ans[K-1])


Fixed submission:
s = input()
K = int(input())
S = set()
ans = []
for i in range(K):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    S.add(c)
  
set_ans = sorted(list(S))
print(set_ans[K-1])

Buggy python submission (verdict: Runtime Error):
s = input()
K = int(input())

ans = []
flg = False
for i in range(len(s)):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    if (len(c) > K):
      flg = True
      break
    if (i != 0 and c.count(c[0]) == len(c)):
      c = "".join(set(c))
    ans.append(c)
  if flg:
    break
  
set_ans = list(set(ans))
set_ans.sort()
print(set_ans[K-1])


Fixed submission:
s = input()
K = int(input())
S = set()
ans = []
for i in range(K):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    S.add(c)
  
set_ans = sorted(list(S))
print(set_ans[K-1])

Buggy python submission (verdict: Runtime Error):
s = input()
K = int(input())

ans = []
flg = False
for i in range(len(s)):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    if (len(c) > K):
      flg = True
      break
    if (i != 0 and c.count(c[0]) == len(c)):
      c = c[0]
    ans.append(c)
  if flg:
    break
  
set_ans = list(set(ans))
set_ans.sort()
print(set_ans[K-1])


Fixed submission:
s = input()
K = int(input())
S = set()
ans = []
for i in range(K):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    S.add(c)
  
set_ans = sorted(list(S))
print(set_ans[K-1])

Buggy python submission (verdict: Runtime Error):
s = input()
K = int(input())

ans = []
flg = False
for i in range(len(s)):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    if (i != 0 and c.count(c[0]) == len(c)):
      c = c[0]
    ans.append(c)
    
set_ans = list(set(ans))
set_ans.sort()
print(set_ans[K-1])

Fixed submission:
s = input()
K = int(input())
S = set()
ans = []
for i in range(K):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    S.add(c)
  
set_ans = sorted(list(S))
print(set_ans[K-1])

Buggy python submission (verdict: Runtime Error):
s = input()
K = int(input())

ans = []
for i in range(len(s)):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    if c.count(c[0]) == len(c):
      c = c[0]
    if c not in ans:
      ans.append(s[j:j+i+1])
ans.sort()
print(ans[K-1])

Fixed submission:
s = input()
K = int(input())
S = set()
ans = []
for i in range(K):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    S.add(c)
  
set_ans = sorted(list(S))
print(set_ans[K-1])

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

s = input()
K = int(input())

ans = []
for i in range(1, len(s)+1):
  for j in list(itertools.combinations(s,i)):
    c = "".join(j)
    if (len(c) == c.count(c[0])):
      c = c[0]
    if c not in ans:
      ans.append(c)
print(ans[-K])

Fixed submission:
s = input()
K = int(input())
S = set()
ans = []
for i in range(K):
  for j in range(len(s)-i):
    c = s[j:j+i+1]
    S.add(c)
  
set_ans = sorted(list(S))
print(set_ans[K-1])
Buggy python submission (verdict: Time Limit Exceeded):
import copy
N = int(input())

lst = list(map(int, input().split()))

for i in range(N):
  c_lst = copy.copy(lst)
  c_lst.pop(i)
  idx = len(c_lst) // 2
  sorted_lst = sorted(c_lst)
  print(sorted_lst[idx])

Fixed submission:
import copy
N = int(input())

lst = list(map(int, input().split()))

sorted_lst = sorted(lst)
idx = (N-1) // 2
low = sorted_lst[idx]
high = sorted_lst[idx+1]
for i in range(N):
  if lst[i] <= low:
    print(high)
  else:
    print(low)
Buggy python submission (verdict: Time Limit Exceeded):
import itertools
N = int(input())
s = "MARCH"
lst = []

for i in range(N):
  begin = input()[0] 
  if begin in list(s):
    lst.append(begin)
ans = [1 for i in list(itertools.combinations(lst,3)) if (len(set(i)) == 3)]
print(len(ans))

Fixed submission:
import itertools
N = int(input())
s = "MARCH"
dct = {"M": 0, "A": 0, "R": 0, "C": 0, "H": 0}
for i in range(N):
  begin = input()[0] 
  if begin in dct.keys():
    dct[begin] += 1
cmb = itertools.combinations(list(dct.keys()), 3)
ans = 0
for i in list(cmb):
  n = 1
  for j in i:
    n *= dct[j]
  ans += n
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import itertools
N = int(input())
s = "MARCH"
lst = []

for i in range(N):
  begin = input()[0] 
  if begin in list(s):
    lst.append(begin)
ans = 0
for i in list(itertools.combinations(lst,3)):
  if (len(set(i)) == 3):
    ans += 1
print(ans)

Fixed submission:
import itertools
N = int(input())
s = "MARCH"
dct = {"M": 0, "A": 0, "R": 0, "C": 0, "H": 0}
for i in range(N):
  begin = input()[0] 
  if begin in dct.keys():
    dct[begin] += 1
cmb = itertools.combinations(list(dct.keys()), 3)
ans = 0
for i in list(cmb):
  n = 1
  for j in i:
    n *= dct[j]
  ans += n
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import collections
import itertools
N = int(input())
s = "MARCH"
lst = []

for i in range(N):
  begin = list(input())[0] 
  if begin in list(s):
    lst.append(begin)
ans = 0
for i in list(itertools.combinations(lst,3)):
  if (len(set(i)) == 3):
    ans += 1
print(ans)

Fixed submission:
import itertools
N = int(input())
s = "MARCH"
dct = {"M": 0, "A": 0, "R": 0, "C": 0, "H": 0}
for i in range(N):
  begin = input()[0] 
  if begin in dct.keys():
    dct[begin] += 1
cmb = itertools.combinations(list(dct.keys()), 3)
ans = 0
for i in list(cmb):
  n = 1
  for j in i:
    n *= dct[j]
  ans += n
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

lst = [list(map(int, input().split())) for i in range(N-1)]
ans = []
for i in range(N-1):
  t = lst[i][0] + lst[i][1]
  for j in range(i+1, N-1):
    if (t >= lst[j][1]):
      if (t % lst[j][2] == 0):
        t += lst[j][0]
      else:
        i = 1
        while (t >= lst[j][1] + (i * lst[j][2])):
          i += 1
        t = lst[j][1] + (i * lst[j][2]) + lst[j][0]
    else:
      t = lst[j][1] + lst[j][0]
  ans.append(t)
ans.append(0)

for i in ans:
  print(i)

Fixed submission:
import math
N = int(input())
lst = [list(map(int, input().split())) for i in range(N-1)]
ans = []
for i in range(N-1):
  t = lst[i][0] + lst[i][1]
  for j in range(i+1, N-1):
    if (t >= lst[j][1]):
      if (t % lst[j][2] == 0):
        t += lst[j][0]
      else:
        n = math.ceil((t - lst[j][1]) / lst[j][2])
        t = lst[j][1] + lst[j][2] * n + lst[j][0]
    else:
      t = lst[j][1] + lst[j][0]
  ans.append(t)
ans.append(0)

for i in ans:
  print(i)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
dct = {}
for i in range(-1,10**5):
  dct[i] = 0
for i in A:
  dct[i-1] += 1
  dct[i] += 1
  dct[i+1] += 1

sorted_dct = sorted(dct.items(), key=lambda x:-x[1])
print(sorted_dct[0][1])

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
dct = {}
for i in range(-1,10**5+1):
  dct[i] = 0
for i in A:
  dct[i-1] += 1
  dct[i] += 1
  dct[i+1] += 1

sorted_dct = sorted(dct.items(), key=lambda x:-x[1])
print(sorted_dct[0][1])

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
dct = {}
for i in range(10**5):
  dct[i] = 0
for i in A:
  dct[i-1] += 1
  dct[i] += 1
  dct[i+1] += 1

sorted_dct = sorted(dct.items(), key=lambda x:-x[1])
print(sorted_dct[0][1])

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
dct = {}
for i in range(-1,10**5+1):
  dct[i] = 0
for i in A:
  dct[i-1] += 1
  dct[i] += 1
  dct[i+1] += 1

sorted_dct = sorted(dct.items(), key=lambda x:-x[1])
print(sorted_dct[0][1])
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
ans = 0
for i in range(len(A)-1):
  if (i+1 == A[i]):
    ans += 1
    A[i],A[i+1] = A[i+1],A[i]
if (A[-1] == l):
  ans += 1
print(ans)

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
ans = 0
for i in range(len(A)-1):
  if (i+1 == A[i]):
    ans += 1
    A[i],A[i+1] = A[i+1],A[i]
if (A[-1] == len(A)):
  ans += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
from itertools import accumulate

N = int(input())
lst = list(map(int, input().split()))

cumsum = list(accumulate(lst))

mi = 2 * 10 ** 9
su = cumsum[-1]
for i in cumsum:
  mi = min(mi, abs(i - (su-i))
print(mi)

Fixed submission:
from itertools import accumulate

N = int(input())
lst = list(map(int, input().split()))

cumsum = list(accumulate(lst))

mi = 2 * 10 ** 9
su = cumsum[-1]
for i in range(len(cumsum)-1):
  mi = min(mi, abs(cumsum[i] - (su-cumsum[i])))
print(mi)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
lst = list(map(int,input().split()))
lst2 = []
for i in lst:
  lst2.append(i)
  lst2.reverse()
print(" ".join(map(str,lst2)))

Fixed submission:
N = int(input())
lst = list(map(int,input().split()))
lst.reverse()
lst2 = [0] * N
for idx,i in enumerate(lst):
  if (idx % 2 == 0):
    lst2[idx // 2] = i
  else:
    lst2[N-(idx // 2)-1] = i
print(" ".join(map(str,lst2)))
Buggy python submission (verdict: Time Limit Exceeded):
import itertools

N = int(input())
lst = [int(input()) for i in range(N)]
ans = 0
for i in range(1,N+1):
  c = itertools.combinations(lst, i)
  for j in c:
    num = sum(j)
    if (num > ans and num % 10 != 0):
      ans = num
print(ans)

Fixed submission:
import itertools

N = int(input())
lst = [int(input()) for i in range(N)]
sum_lst = sum(lst)
ans = 0
if (sum_lst % 10 != 0):
  ans = sum_lst
else:
  for i in lst:
    if ((sum_lst - i) % 10 != 0):
      ans = max(ans,sum_lst - i)
print(ans)
Buggy python submission (verdict: Runtime Error):
N, A, B = map(int, input().split())

if(A > B):
  print(0)
elif (A == B):
    print(1)
  else:
    print(0)
else:
  if (N == 1):
    print(0)
  else:
    print((B-A)*(N-2) + 1)

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

if(A > B):
  print(0)
elif (A == B):
    print(1)
else:
  if (N == 1):
    print(0)
  else:
    print((B-A)*(N-2) + 1)
Buggy python submission (verdict: Time Limit Exceeded):
# B
N = int(input())
ans = 1
for i in range(1, N+1):
    ans *= i
print(ans % (10 ** 9 + 7))

Fixed submission:
# B
import math
N = int(input())
print(math.factorial(N) % (10 ** 9 + 7))
Buggy python submission (verdict: Runtime Error):
a,b,n = map(int,input().split())


max=0
for x in range(n+1):
    value=(a*x//b)-a*(x//b)
    if value>max:
        max=value
print(max)


Fixed submission:
k =int(input())
a,b = map(int,input().split())
def judge(k,a,b):
    for i in range(a,b+1):
        if i%k==0:
            return 'OK'
    return 'NG'

print(judge(k,a,b))
Buggy python submission (verdict: Time Limit Exceeded):
S=input()
count=0
for i in range(4,len(S)+1):
    list=[S[idx:idx+i] for idx in range(len(S)-i+1) if int(S[idx:idx+i])%2019==0 ]
    count+=len(list)
print(count)


Fixed submission:
S=list(map(int,list(input())))
N=len(S)

m=[0]*2019
m[0]=1
ans=0

sm=0
d=1
for i in range(N):
    sm=(sm+S[N-1-i]*d)%2019
    m[sm] += 1
    d=(d*10)%2019

for i in m:
    ans += i*(i-1)//2

print(ans)
Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split())
import math
import itertools



def cal(num, r, count):

    for v in itertools.combinations(range(num), r):
        count[sum(v)] += 1
    real_count = 0
    for i in count:
        if i>0:
            real_count += 1

    return real_count

total = 0
while K<=N+1:
    count = [0]*1000000000
    total += cal(N+1, K,count)
    K+=1

total = total % (10**9+7)
print(total)


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

min = K*(K-1)/2
max = K*(2*N-K+1)/2


sum=0
for k in range(K,N+2):
    min = k*(k-1)/2
    max = k*(2*N-k+1)/2

    sum+=(int(max-min+1))
print(sum%(10**9+7))
Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        value = gcd(i,j)
        for k in range(1, K+1):
            sum += gcd(value,k)

print(sum)
# print(gcd(2,6))


Fixed submission:
K = int(input())
def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        for k in range(1, K+1):
            sum += gcd(gcd(i,j),k)

print(sum)
# print(gcd(2,6))

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        for k in range(1, K+1):
            sum += gcd(gcd(i,j),k)

print(sum)
# print(gcd(2,6))


Fixed submission:
K = int(input())
def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        for k in range(1, K+1):
            sum += gcd(gcd(i,j),k)

print(sum)
# print(gcd(2,6))

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
import math
from functools import reduce
def gcd(*numbers):
    return reduce(math.gcd, numbers)
sum = 0

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

print(sum)


Fixed submission:
K = int(input())
def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        for k in range(1, K+1):
            sum += gcd(gcd(i,j),k)

print(sum)
# print(gcd(2,6))

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
import math
from functools import reduce
def gcd(*numbers):
    return reduce(math.gcd, numbers)


def function(K):
    list = []
    sum = 0
    for i in range(1,K+1):
        for j in range(1, K+1):
            list.append(gcd(i,j))
    return list

list = function(K)
sum = 0
new_list = []
for i in range(1,K+1):
    new_list+= [gcd(i,elm) for elm in list]


for i in new_list:
    sum += int(i)


print(sum)


Fixed submission:
K = int(input())
def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        for k in range(1, K+1):
            sum += gcd(gcd(i,j),k)

print(sum)
# print(gcd(2,6))
Buggy python submission (verdict: Time Limit Exceeded):
N, X, Y = map(int, input().split())
d_list = []
for i in range(1, N+1):
    for j in range(i+1, N+1):
        distance = min([abs(i-j), abs(X-i)+1+abs(j-Y), abs(Y-i)+1+abs(j-X)])
        d_list.append(distance)

for i in range(1,N):
    print(d_list.count(i))


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

for i in range(1,N):
    print(d_list[i])