Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
from functools import reduce
from math import gcd

N = int(input())
print(sum([reduce(gcd, [i, j, k]) for i in range(1, N+1) for j in range(1, N+1) for k in range(1, N+1)]))

Fixed submission:
# from functools import reduce
# from math import gcd
import math

N = int(input())
result = 0
# print(sum([reduce(gcd, [i, j, k]) for i in range(1, N+1) for j in range(1, N+1) for k in range(1, N+1)]))
for i in range(1, N+1):
    for j in range(1, N+1):
        tmp = math.gcd(i, j)
        for k in range(1, N+1):
            result += math.gcd(tmp, k)

print(result)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
input_line = [input() for _ in range(N)]
count = {}
for w in input_line:
    if w in count:
        count[w] += 1
    else:
        count[w] = 1

keys = [k for k, v in count.items() if v == max(count.values())]
for w in sorted(keys):
    print(w)


Fixed submission:
N = int(input())
input_line = [input() for _ in range(N)]
count = {}
for w in input_line:
    if w in count:
        count[w] += 1
    else:
        count[w] = 1
max_values = max(count.values())
keys = [k for k, v in count.items() if v == max_values]
for w in sorted(keys):
    print(w)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
input_line = [input() for _ in range(N)]
temp = 0
result = []
for x in list(set(input_line)):
    if temp < input_line.count(x):
        temp = input_line.count(x)
        result = []
        result.append(x)
    elif temp == input_line.count(x):
        temp = input_line.count(x)
        result.append(x)
for x in sorted(result):
    print(x)

Fixed submission:
N = int(input())
input_line = [input() for _ in range(N)]
count = {}
for w in input_line:
    if w in count:
        count[w] += 1
    else:
        count[w] = 1
max_values = max(count.values())
keys = [k for k, v in count.items() if v == max_values]
for w in sorted(keys):
    print(w)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
input_line = [input() for _ in range(N)]
temp = 0
result = []
for x in list(set(input_line)):
    if temp < input_line.count(x):
        temp = input_line.count(x)
        result = []
        result.append(x)
    elif temp == input_line.count(x):
        temp = input_line.count(x)
        result.append(x)
for x in sorted(result):
    print(x)

Fixed submission:
N = int(input())
input_line = [input() for _ in range(N)]
count = {}
for w in input_line:
    if w in count:
        count[w] += 1
    else:
        count[w] = 1
max_values = max(count.values())
keys = [k for k, v in count.items() if v == max_values]
for w in sorted(keys):
    print(w)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
input_line = [input() for _ in range(N)]
count = {}
for x in list(set(input_line)):
    count[x] = input_line.count(x)
max_count = max(count.values())
result = sorted([k for k, v in count.items() if v == max_count])
for x in result:
    print(x)

Fixed submission:
N = int(input())
input_line = [input() for _ in range(N)]
count = {}
for w in input_line:
    if w in count:
        count[w] += 1
    else:
        count[w] = 1
max_values = max(count.values())
keys = [k for k, v in count.items() if v == max_values]
for w in sorted(keys):
    print(w)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split(' ')))
answer = True
for i in range(len(A)):
    if A.count(A[i]) > 1:
        answer = False
if answer:
    print('YES')
else:
    print('NO')

Fixed submission:
N = int(input())
A = list(map(int, input().split(' ')))
uniqu_a = list(set(A))
if N == len(uniqu_a):
    print('YES')
else:
    print('NO')
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = [-1]
P += list(map(int, input().split(' ')))
count = 0
for i in range(1,N+1):
    boolean = True
    if P[i] <= min(P[1:i+1]):
        count += 1
print(count)

Fixed submission:
N = int(input())
P = [-1]
P += list(map(int, input().split(' ')))
mini = 10 ** 9
count = 0
for i in range(1,N+1):
    if P[i] <= mini:
        mini = P[i]
        count += 1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = [-1]
P += list(map(int, input().split(' ')))
count = 0
for i in range(1,N+1):
    boolean = True
    if P[i] <= min(P[1:i+1]):
        count += 1
print(count)

Fixed submission:
N = int(input())
P = [-1]
P += list(map(int, input().split(' ')))
mini = 10 ** 9
count = 0
for i in range(1,N+1):
    if P[i] <= mini:
        mini = P[i]
        count += 1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = [-1]
P += list(map(int, input().split(' ')))
count = 0
for i in range(1,N+1):
    boolean = True
    for j in range(1, i):
        if P[i] > P[j]:
            boolean = False
            break
    if boolean:
        count += 1
print(count)

Fixed submission:
N = int(input())
P = [-1]
P += list(map(int, input().split(' ')))
mini = 10 ** 9
count = 0
for i in range(1,N+1):
    if P[i] <= mini:
        mini = P[i]
        count += 1
print(count)
Buggy python submission (verdict: Runtime Error):
from sympy import sieve

x = int(input())
boolean = True
while boolean:
    if x in sieve:
        print(x)
        break
    x += 1 

Fixed submission:
import math

#引数nが素数かどうかを判定
def is_prime(n):
    for i in range(2, int(math.sqrt(n))+1):
        if n%i == 0:
            return False
    return True

x = int(input())
boolean = True
while boolean:
    if is_prime(x):
        print(x)
        break
    x += 1
Buggy python submission (verdict: Runtime Error):
import requests
import math
import random

def quick_sort(arr):
    left = []
    right = []
    if len(arr) <= 1:
        return arr

    # データの状態に左右されないためにrandom.choice()を用いることもある。
    # ref = random.choice(arr)
    ref = arr[0]
    ref_count = 0

    for ele in arr:
        if ele < ref:
            left.append(ele)
        elif ele > ref:
            right.append(ele)
        else:
            ref_count += 1
    left = quick_sort(left)
    right = quick_sort(right)
    return left + [ref] * ref_count + right


if __name__ == "__main__":
    s = input()
    if s[2]==s[3] and s[4]==s[5]:
        print('Yes')
    else:
        print('No')
            



      
# for i in range(10):
#     print(i)
#     if i%5==4:
#         break

Fixed submission:


def quick_sort(arr):
    left = []
    right = []
    if len(arr) <= 1:
        return arr

    # データの状態に左右されないためにrandom.choice()を用いることもある。
    # ref = random.choice(arr)
    ref = arr[0]
    ref_count = 0

    for ele in arr:
        if ele < ref:
            left.append(ele)
        elif ele > ref:
            right.append(ele)
        else:
            ref_count += 1
    left = quick_sort(left)
    right = quick_sort(right)
    return left + [ref] * ref_count + right


if __name__ == "__main__":
    s = input()
    if s[2]==s[3] and s[4]==s[5]:
        print('Yes')
    else:
        print('No')
            



      
# for i in range(10):
#     print(i)
#     if i%5==4:
#         break
Buggy python submission (verdict: Runtime Error):
n = int(input())
res = n%1000
if res:
  return 1000 - res
return 0

Fixed submission:
n = int(input())
ans = (1000 - (n % 1000)) % 1000
print(ans)

Buggy python submission (verdict: Runtime Error):
def change(x):
	res = 1000 - x%1000
    if res:
      return res
    return 0

Fixed submission:
n = int(input())
ans = (1000 - (n % 1000)) % 1000
print(ans)

Buggy python submission (verdict: Runtime Error):
return 1000 - N%1000

Fixed submission:
n = int(input())
ans = (1000 - (n % 1000)) % 1000
print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import Counter

n = int(input())
s = [input() for _ in range(n)]
counter = Counter(s)
#output = ['AC', 'WA', 'TLE', 'RE']

for key in output:
    print(f'{key} x {counter[key]}')

Fixed submission:
from collections import Counter

n = int(input())
s = [input() for _ in range(n)]
counter = Counter(s)
output = ['AC', 'WA', 'TLE', 'RE']

for key in output:
    print(f'{key} x {counter[key]}')

Buggy python submission (verdict: Runtime Error):
from collections import Counter

n = int(input())
s = [input() for _ in range(n)]
counter = Counter(s)


for key in output:
  print(f'{key} x {counter[key]}')

Fixed submission:
from collections import Counter

n = int(input())
s = [input() for _ in range(n)]
counter = Counter(s)
output = ['AC', 'WA', 'TLE', 'RE']

for key in output:
    print(f'{key} x {counter[key]}')
Buggy python submission (verdict: Runtime Error):
n = int(input())

m = {}
for i in range(1,27):
  m[i] = chr(96+i)

ans = ''
while 1:
  x = n // 26
  y = n % 26

  ans = m[y] + ans
  
  if x == 0:
    break
  else:
    n = n // 26

print(ans)

Fixed submission:
n = int(input())

m = {}
for i in range(0,26):
  m[i] = chr(97+i)

ans = ''
while 1:

  n -= 1

  x = n // 26
  y = n % 26

  ans = m[y] + ans

  n = x
  if n == 0:
    break

print(ans)
Buggy python submission (verdict: Runtime Error):
x,n = map(int,input().split())
if n > 0 :
  p = list( map(int,input().split()) )

p = set(p)
if x not in p:
  ans = x
else:
  i = x - 1
  j = x + 1
  while 1:
    if i not in p and j not in p:
      ans = min(i,j)
      break

    if i not in p:
      ans = i
      break
    elif j not in p:
      ans = j
      break

    i -= 1
    j += 1

print(ans)
  




Fixed submission:
x,n = map(int,input().split())
if n > 0 :
  p = list( map(int,input().split()) )
  p = set(p)
else:
  p = set()

if x not in p:
  ans = x
else:
  i = x - 1
  j = x + 1
  while 1:
    if i not in p and j not in p:
      ans = min(i,j)
      break

    if i not in p:
      ans = i
      break
    elif j not in p:
      ans = j
      break

    i -= 1
    j += 1

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

ans = 1
for i in a:
  ans *= i
if ans > 10**18:
  ans = -1

print(ans)

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

c = set(a)

ans = 1
if 0 in c :
  ans = 0
else :
  for i in a:
    ans *= i
    if ans > 10**18:
      ans = -1
      break 

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import itertools,math
K = int(input())
c = [i for i in range(1,K+1)]

g = itertools.product(c,repeat=3) #リストの中のすべての並ばせ方

ans = 0
for i,j,k in g:
  ans += math.gcd( math.gcd(i,j) , k )

print(ans)


Fixed submission:
import math, itertools
K = int(input())
#K = 2

a = [i for i in range(1,K+1)]

x = itertools.combinations(a,2)
y = itertools.combinations(a,3)

c = 0
for i,j in x:
  c += math.gcd(i,j)

d = 0
for i,j,k in y:
  d += math.gcd( math.gcd(i,j) , k)

ans = sum(a) + c*6 + d*6

if K == 1:
  ans = 1
elif K == 2:
  ans = 9

print(ans)

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

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

print(ans)

Fixed submission:
import math, itertools
K = int(input())
#K = 2

a = [i for i in range(1,K+1)]

x = itertools.combinations(a,2)
y = itertools.combinations(a,3)

c = 0
for i,j in x:
  c += math.gcd(i,j)

d = 0
for i,j,k in y:
  d += math.gcd( math.gcd(i,j) , k)

ans = sum(a) + c*6 + d*6

if K == 1:
  ans = 1
elif K == 2:
  ans = 9

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

#k,n = 20,3
#a = [0,5 ,15]
a = list(map(lambda x : x - min(a) , a))

s = [k - a[n-1]]
for i in range(1,n):
  s.append(a[i]-a[i-1])

print(k - max(s))

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

#k,n = 20,5
#a = [1,2,3,4,19]

s = []
for i in range(1,n):
  s.append(a[i]-a[i-1])

s.append(k - a[n-1] + a[0])

print(k - max(s))
Buggy python submission (verdict: Runtime Error):
a,b = map(int,input().split())
import math
ans = a*b // math.gcd(a,b)
print(ans)

Fixed submission:
a,b = map(int,input().split())
import fractions
ans = a*b // fractions.gcd(a,b)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
L,R = map(int,input().split())

x = R - L
L %= 2019
R = L + x

#print(L,R)

m = 2019
for i in range(L,R+1):
  for j in range(i+1,R+1):
    m = min(m,(i*j)%2019)
    if m == 0:
      break
print(m)
    



Fixed submission:
L,R = map(int,input().split())

x = R - L
if x > 2018:
  ans = 0
else:
  ans = 2019
  for i in range(L,R+1):
   for j in range(i+1,R+1):
     ans = min(ans,(i*j)%2019)
     if ans == 0:
       break

print(ans)
    
#332701087 1753412895
Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())
h = list( map(int,input().split()) )

dp = [0] * n
dp[0] = 0

for i in range(1,n):
  s = max(0,i-k)
  x = [ dp[j] + abs(h[j] - h[i]) for j in range(s,i) ]
  dp[i] = min([ dp[j] + abs(h[j] - h[i]) for j in range(s,i) ])

print(dp[n-1])

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

dp = [0] * n
dp[0] = 0

for i in range(1,n):
  s = max(0,i-k)
  x = [ dp[j] + abs(h[j] - h[i]) for j in range(s,i) ]
  dp[i] = min([ dp[j] + abs(h[j] - h[i]) for j in range(s,i) ])

print(dp[n-1])

Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())
h = list( map(int,input().split()) )

#n,k = 5,3
#h = [10,30,40,50,20]

dp = [0] * n
dp[0] = 0

for i in range(1,n):
  x = []
  s = max(0,i-k)
  for j in range(s,i):
    x.append(dp[j] + abs(h[j] - h[i]))
  dp[i] = min(x)

print(dp[n-1])

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

dp = [0] * n
dp[0] = 0

for i in range(1,n):
  s = max(0,i-k)
  x = [ dp[j] + abs(h[j] - h[i]) for j in range(s,i) ]
  dp[i] = min([ dp[j] + abs(h[j] - h[i]) for j in range(s,i) ])

print(dp[n-1])
Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())
h = [int(input()) for _ in range(n)]

h.sort()
hh = [0]*(n-1)
for i in range(n-1):
  hh[i] = h[i+1] - h[i]

ans = 10**10
for i in range(n-k+1):
  ans = min(ans,sum(hh[i:i+k-1]))

print(ans)


Fixed submission:
n,k = map(int,input().split())
h = [int(input()) for _ in range(n)]

#n,k = 7,3
#h = [10,11,12,14,15,20,0]
h.sort()

ans = 10**10
for i in range(n-k+1):
  ans = min(h[i+k-1] - h[i] , ans)

print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
h = [ list(map(int,input().split())) for _ in range(n)]

for i in range(101):
  for j in range(101):

    hmax = h[0][2] + abs(i-h[0][0]) + abs(j-h[0][1])
    for k in range(1,n):
      if h[k][2] + abs(i-h[k][0]) + abs(j-h[k][1]) != hmax:
        break
    else:
      ans = [i,j,hmax]
      break
  else:
    continue
  break

ans = map(str,ans)
print(' '.join(ans))

Fixed submission:
n = int(input())
h = [ list(map(int,input().split())) for _ in range(n)]

ans = []
for i in range(101):
  for j in range(101):
    h.sort(key=lambda x: -x[2])
    hmax = h[0][2] + abs(i-h[0][0]) + abs(j-h[0][1])
    for k in range(1,n):

      if max(hmax - abs(h[k][0] - i) - abs(h[k][1] - j) , 0) != h[k][2]:
        break

    else:
      ans = [i,j,hmax]
    
    if(len(ans)):
      break
  if(len(ans)):
    break

ans = map(str,ans)
print(' '.join(ans))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

#n = 7
#a = [3,1,4,1,5,9,2]
a2 = list(map(lambda x: x+1 , a)) #[4, 2, 5, 2, 6, 10, 3]
a3 = list(map(lambda x: x-1 , a)) #[2, 0, 3, 0, 4,  8, 1]

candi = {}
for i in a:
  candi[i],candi[i-1],candi[i+1] = 1,1,1

ans = 0
for i in candi.keys():
  count = (a.count(i) + a2.count(i) + a3.count(i))
  ans = max(count,ans)

print(ans)

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

import collections
for i in range(n):
  a.append(a[i]+1)
  a.append(a[i]-1)

c = collections.Counter(a)
print(c.most_common()[0][1])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

#n = 7
#a = [3,1,4,1,5,9,2]
a2 = list(map(lambda x: x+1 , a)) #[4, 2, 5, 2, 6, 10, 3]
a3 = list(map(lambda x: x-1 , a)) #[2, 0, 3, 0, 4,  8, 1]

candi = {}
for i in a:
  candi[i],candi[i-1],candi[i+1] = 1,1,1

ans = 0
for i in candi.keys():
  count = (a.count(i) + a2.count(i) + a3.count(i))
  ans = max(count,ans)

print(ans)

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

import collections
for i in range(n):
  a.append(a[i]+1)
  a.append(a[i]-1)

c = collections.Counter(a)
print(c.most_common()[0][1])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

#n = 7
#a = [3,1,4,1,5,9,2]
a2 = list(map(lambda x: x+1 , a)) #[4, 2, 5, 2, 6, 10, 3]
a3 = list(map(lambda x: x-1 , a)) #[2, 0, 3, 0, 4,  8, 1]
seta = set(a)

ans = 0
for i in seta:
  x = i - 1
  count = (a.count(x) + a2.count(x) + a3.count(x))
  ans = max(count,ans)
  x = i
  count = (a.count(x) + a2.count(x) + a3.count(x))
  ans = max(count,ans)
  x = i + 1
  count = (a.count(x) + a2.count(x) + a3.count(x))
  ans = max(count,ans)

print(ans)

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

import collections
for i in range(n):
  a.append(a[i]+1)
  a.append(a[i]-1)

c = collections.Counter(a)
print(c.most_common()[0][1])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

#n = 7
#a = [3,1,4,1,5,9,2]
a2 = list(map(lambda x: x+1 , a)) #[4, 2, 5, 2, 6, 10, 3]
a3 = list(map(lambda x: x-1 , a)) #[2, 0, 3, 0, 4,  8, 1]
seta = set(a)

ans = 0
for i in seta:
  x = i - 1
  count = (a.count(x) + a2.count(x) + a3.count(x))
  ans = max(count,ans)
  x = i
  count = (a.count(x) + a2.count(x) + a3.count(x))
  ans = max(count,ans)
  x = i + 1
  count = (a.count(x) + a2.count(x) + a3.count(x))
  ans = max(count,ans)

print(ans)

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

import collections
for i in range(n):
  a.append(a[i]+1)
  a.append(a[i]-1)

c = collections.Counter(a)
print(c.most_common()[0][1])
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = [int(input()) for _ in range(n)]

#n = 5
#a = [3,3,4,2,4]

a.insert(0,0)

i = 1
pushed = [1]
ans = 0
while(1):
  ans += 1
  if a[i] == 2:
    break
  if a[i] in pushed:
    ans = -1
    break
  else:
    pushed.append(a[i])
    i = a[i]

print(ans)

Fixed submission:
n = int(input())
a = [int(input()) for _ in range(n)]

#n = 10
#a = [10,0,2,3,4,5,6,7,8,9]

a.insert(0,0)
i = 1
ans = 0
for _ in range(n+1):
  ans += 1
  i = a[i]
  if i == 2:
    break
else:
  ans = -1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
k,s = map(int,input().split())

a = min(k,s)

ans = 0
for x in range(a+1):
  for y in range(a+1):
    for z in range(a+1):
      if x + y + z == s:
        ans += 1
        break

print(ans)

Fixed submission:
k,s = map(int,input().split())

a = min(k,s)

ans = 0
for x in range(a+1):
  for y in range(a+1):
    z = s - x - y
    if z <= k and z >= 0:
      ans += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
mod = 10**9+7
 
n = int(input())
a = [[int(x) for x in input().split()] for _ in range(n)]
 
dp = [-1 for __ in range(1 << n)]
dp[0] = 1
 
 
def dfs(bit, i):
    if dp[bit] != -1:
        return dp[bit]
    else:
        tmp = 0
        for j in range(n):
            if bit & (1 << j) and a[i][j]:
                tmp += dfs(bit ^ (1 << j), i+1)
    dp[bit] = tmp % mod
    return dp[bit]
 
 
print(dfs(2**n-1, 0))

Fixed submission:
mod = 10**9+7
 
n = int(input())
a = [[int(x) for x in input().split()] for _ in range(n)]
 
dp = [-1 for __ in range(1 << n)]
dp[0] = 1
 
 
def dfs(bit, i):
    if dp[bit] != -1:
        return dp[bit]
    else:
        tmp = 0
        for j in range(n):
            if bit & (1 << j) and a[i][j]:
                tmp += dfs(bit ^ (1 << j), i+1)
    dp[bit] = tmp % mod
    return dp[bit]
 
 
print(dfs(2**n-1, 0))

Buggy python submission (verdict: Time Limit Exceeded):
mod = 10**9+7
 
n = int(input())
a = [[int(x) for x in input().split()] for _ in range(n)]
 
dp = [-1 for __ in range(1 << n)]
dp[0] = 1
 
 
def dfs(bit, i):
    if dp[bit] != -1:
        return dp[bit]
    else:
        tmp = 0
        for j in range(n):
            if bit & (1 << j) and a[i][j]:
                tmp += dfs(bit ^ (1 << j), i+1)
    dp[bit] = tmp % mod
    return dp[bit]
 
 
print(dfs(2**n-1, 0))

Fixed submission:
mod = 10**9+7
 
n = int(input())
a = [[int(x) for x in input().split()] for _ in range(n)]
 
dp = [-1 for __ in range(1 << n)]
dp[0] = 1
 
 
def dfs(bit, i):
    if dp[bit] != -1:
        return dp[bit]
    else:
        tmp = 0
        for j in range(n):
            if bit & (1 << j) and a[i][j]:
                tmp += dfs(bit ^ (1 << j), i+1)
    dp[bit] = tmp % mod
    return dp[bit]
 
 
print(dfs(2**n-1, 0))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a_list = list(map(int,input().split()))
a_list = sorted(a_list)
flag  = [0]*n

ans = 0
for i in range(len(a_list)):
    if flag[i] == 1:
        continue
    if i == n-1:
        ans += 1
        break
    if 0 not in flag:
        break
    flag[i] = 1
    
    if a_list[i] != a_list[i+1]:
        ans += 1
    for j in range(i+1,len(a_list)):
        if a_list[j]%a_list[i] == 0:
            flag[j] = 1

print(ans)

Fixed submission:
n = int(input())
a_list = list(map(int,input().split()))
a_list = sorted(a_list)
flag  = [0]*n


ans = 0
m = max(a_list)
b_list = [0]*(m+1)
for i in a_list:
    b_list[i] += 1
for i in a_list:
    if b_list[i] == 1:
        ans += 1

    for j in range(i , m+1 ,i):
        b_list[j]+= 1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a_list = list(map(int,input().split()))
a_list = sorted(a_list)
flag  = [0]*n

ans = 0
for i in range(len(a_list)):
    if flag[i] == 1:
        continue
    if i == n-1:
        ans += 1
        break
    if 0 not in flag:
        break
    flag[i] = 1
    
    if a_list[i] != a_list[i+1]:
        ans += 1
    for j in range(i+1,len(a_list)):
        if a_list[j]%a_list[i] == 0:
            flag[j] = 1

print(ans)

Fixed submission:
n = int(input())
a_list = list(map(int,input().split()))
a_list = sorted(a_list)
flag  = [0]*n


ans = 0
m = max(a_list)
b_list = [0]*(m+1)
for i in a_list:
    b_list[i] += 1
for i in a_list:
    if b_list[i] == 1:
        ans += 1

    for j in range(i , m+1 ,i):
        b_list[j]+= 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
num_list = list(map(int,input().split()))
ans = 1
for i in num_list:
    ans *= i
    
if ans > 10**18:
    print(-1)
    
else:
    print(ans)

Fixed submission:
n = int(input())
num_list = list(map(int,input().split()))
ans = 1
if 0 in num_list:
    print(0)
    
else:
    for i in num_list:
        ans *= i
        if ans > 10**18:
            break

    if ans > 10**18:
        print(-1)

    else:
        print(ans)
Buggy python submission (verdict: Runtime Error):
a,b = map(float,input().split())

a = int(a)
b = int(b*100)
tmp = str(a*b)[:-2]
print(int(tmp))

Fixed submission:
a,b = map(str,input().split())
a = int(a)
if len(b) == 4:
    b = int(b[0] + b[2:])
    
else:
    b = int(b[0] + b[2] +'0')
tmp = str(a*b)
if len(tmp) <=2:
    print(0)
else:
    tmp = str(a*b)[:-2]
    print(int(tmp))
Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())
a_list = list(map(int,input().split()))

num_list = [1]
flag = True
while flag:
    tmp = a_list[num_list[-1]-1]
    if tmp in num_list:
        flag = False
    else:
        num_list.append(tmp)
        
idx = num_list.index(tmp)
loop = len(num_list) - idx
if k < idx:
    print(num_list[k])
else:
    print(num_list[(k-idx)%loop  + idx])

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

num_list = [1]
n_set = set([1])
flag = True
while flag:
    tmp = a_list[num_list[-1]-1]
    if tmp in n_set:
        flag = False
    else:
        n_set.add(tmp)
        num_list.append(tmp)
        
idx = num_list.index(tmp)
loop = len(num_list) - idx
if k < idx:
    print(num_list[k])
else:
    print(num_list[(k-idx)%loop  + idx])