Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
from math import floor, sqrt, ceil


def f(b, n):
    if n < b:
        return n

    return f(b, floor(n / b)) + n % b


n = int(input())
s = int(input())

if n == s:
    print(n + 1)
    exit()

for b in range(2, floor(sqrt(n)) + 1):
    if f(b, n) == s:
        print(b)
        exit()

for p in range(1, ceil(sqrt(n)))[::-1]:
    b = (n - s) / p + 1
    if b.is_integer():
        b = int(b)
        if f(b, n) == s:
            print(b)
            exit()

print(-1)


Fixed submission:
from math import floor, sqrt, ceil


def f(b, n):
    if b < 2:
        return 0

    if n < b:
        return n

    return f(b, floor(n / b)) + n % b


n = int(input())
s = int(input())

if n == s:
    print(n + 1)
    exit()

for b in range(2, floor(sqrt(n)) + 1):
    if f(b, n) == s:
        print(b)
        exit()

for p in range(1, ceil(sqrt(n)))[::-1]:
    b = (n - s) / p + 1
    if b.is_integer():
        b = int(b)
        if f(b, n) == s:
            print(b)
            exit()

print(-1)
Buggy python submission (verdict: Time Limit Exceeded):
class ModInt:
    def __init__(self, num, mod):
        self.num = num
        self.mod = mod

    def __str__(self):
        return str(self.num)

    def __repr__(self):
        return "ModInt(num: {}, mod: {}".format(self.num, self.mod)

    def __add__(self, other):
        ret = self.num + other.num
        ret %= self.mod
        return ModInt(ret, self.mod)

    def __sub__(self, other):
        ret = self.num - other.num
        ret %= self.mod
        return ModInt(ret, self.mod)

    def __mul__(self, other):
        ret = self.num * other.num
        ret %= self.mod
        return ModInt(ret, self.mod)

    def pow(self, times):
        pw = pow(self.num, times, self.mod)
        return ModInt(pw, self.mod)

    def inverse(self):
        return self.pow(self.mod - 2)

    def __truediv__(self, other):
        num = self * other.inverse()
        return ModInt(num, self.mod)


h, w, a, b = map(int, input().split())
mod = 10 ** 9 + 7

power = [ModInt(1, mod)]
inv = [ModInt(1, mod).inverse()]


def comb(n, r):
    return power[n] * inv[r] * inv[n-r]


for i in range(1, h + w - 1):
    power.append(power[-1] * ModInt(i, mod))
    inv.append(power[-1].inverse())

ans = ModInt(0, mod)
for wi in range(b, w):
    ans += comb(h - a - 1 + wi, wi) * comb(a - 1 + w - wi - 1, a - 1)

print(ans)


Fixed submission:
class ModInt:
    def __init__(self, num, mod):
        self.num = num
        self.mod = mod

    def __str__(self):
        return str(self.num)

    def __repr__(self):
        return "ModInt(num: {}, mod: {}".format(self.num, self.mod)

    def __add__(self, other):
        ret = self.num + other.num
        ret %= self.mod
        return ModInt(ret, self.mod)

    def __sub__(self, other):
        ret = self.num - other.num
        ret %= self.mod
        return ModInt(ret, self.mod)

    def __mul__(self, other):
        ret = self.num * other.num
        ret %= self.mod
        return ModInt(ret, self.mod)

    def pow(self, times):
        pw = pow(self.num, times, self.mod)
        return ModInt(pw, self.mod)

    def inverse(self):
        return self.pow(self.mod - 2)

    def __truediv__(self, other):
        num = self * other.inverse()
        return ModInt(num, self.mod)


h, w, a, b = map(int, input().split())
mod = 10 ** 9 + 7

power = [ModInt(1, mod)]
inv = [ModInt(1, mod).inverse()]


def comb(n, r):
    return power[n] * inv[r] * inv[n-r]


for i in range(1, h + w - 1):
    power.append(power[-1] * ModInt(i, mod))
    inv.append(power[-1].inverse())

ans = ModInt(0, mod)
for wi in range(b, w):
    ans += comb(h - a - 1 + wi, wi) * comb(a - 1 + w - wi - 1, a - 1)

print(ans)
Buggy python submission (verdict: Runtime Error):
def main():
N=int(input())
A=list(map(int,input().split()))
if A is 0:
  print(0)
  return
p=1
for i in A:
  p=p*i
  if p>1000000000000000000:
    print(-1)
    return
print(p)  
main()  
  


Fixed submission:
def main():
    N=int(input())
    A=list(map(int,input().split()))
    if 0 in A:
      print('0')
      return
    p=1
    for i in A:
      p=p*i
      if p>1000000000000000000:
        print(-1)
        return
    print(p)    
main()

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))
if 0 in A:
  print(0)
  return
p=1
for i in A:
  p=p*i
  if p>1000000000000000000:
    print(-1)
    return
print(p)  
  
  


Fixed submission:
def main():
    N=int(input())
    A=list(map(int,input().split()))
    if 0 in A:
      print('0')
      return
    p=1
    for i in A:
      p=p*i
      if p>1000000000000000000:
        print(-1)
        return
    print(p)    
main()

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))
if A is 0:
  print(0)
  return
p=1
for i in A:
  p=p*i
  if p>1000000000000000000:
    print(-1)
    return
print(p)  
  
  

Fixed submission:
def main():
    N=int(input())
    A=list(map(int,input().split()))
    if 0 in A:
      print('0')
      return
    p=1
    for i in A:
      p=p*i
      if p>1000000000000000000:
        print(-1)
        return
    print(p)    
main()
Buggy python submission (verdict: Runtime Error):
a=int(input())
b=float(input())
b=b*100
p=int((a*b)/100)
print(p)



Fixed submission:
from decimal import*
a,b=input().split()
da=Decimal(a)
db=Decimal(b)
print(da*db//1)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))

sum_A = 1
for i in range(0,len(A)):
  if(A[i] == 0):
        print(0)
        exit()
  sum_A *= A[i]
if(sum_A > 1000000000000000000):
        print("-1")
        exit()
print(sum_A)


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

sum_A = 1

for i in range(0,len(A)):
  if(A[i] == 0):
        print(0)
        exit()

for i in range(0,len(A)):
  if(sum_A > 1000000000000000000):
        break
  sum_A *= A[i]
if(sum_A > 1000000000000000000):
        print("-1")
        exit()
print(sum_A)

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

sum_A = 1
for i in range(0,len(A)):
    sum_A *= A[i]
if(sum_A > 1000000000000000000):
        print("-1")
        exit()
print(sum_A)


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

sum_A = 1

for i in range(0,len(A)):
  if(A[i] == 0):
        print(0)
        exit()

for i in range(0,len(A)):
  if(sum_A > 1000000000000000000):
        break
  sum_A *= A[i]
if(sum_A > 1000000000000000000):
        print("-1")
        exit()
print(sum_A)
Buggy python submission (verdict: Time Limit Exceeded):
A,B,C,K = map(int, input().split())
num = 0
ans = 0

if(A == K):
  print(A)
  exit()
if(A+B == K):
  print(A)
  exit()

for i in range(0,K):
  if(i < A):
    ans += 1
  elif(i < A+B):
    ans += 0
  else:
    ans -= 1
print(ans)

Fixed submission:
A,B,C,K = map(int, input().split())
num = 0
ans = 0

if(A >= K):
  print(K)
elif(A < K and K <=(A+B)):
  print(A)
else:
  ans = A - (K-(A+B))
  print(ans)
Buggy python submission (verdict: Runtime Error):
N,Q = map(int, input().split())
l = list(map(int,input().split()))

ans = 0
for i in range(0,M):
  ans = ans + l[i]
  
if(ans > N):
  print("-1")
else:
  print(N-ans)  

Fixed submission:
N,Q = map(int, input().split())
l = list(map(int,input().split()))
 
ans = 0
for i in range(0,Q):
  ans = ans + l[i]
  
if(ans > N):
  print("-1")
else:
  print(N-ans)
Buggy python submission (verdict: Runtime Error):
K,N = map(int, input().split())
A = list(map(int,input().split()))


l_s = []
check = 0
for i in range(0,N):
    if(A[i] == 0):
        check =1
if(check == 1):
    for i in range(1,N+1):
          l_s.append(A[i]-A[i-1])
  
    print(l_s)
    num = 0
    ans = 99999999999999999
    for i in range(0,N):
        num = K - l_s[i]
        ans = min(ans,num)
    print(ans)
    
else: 
    #A.append(K-A[len(A)-1])
    m1 = 0
    m2 = 0
    m1 = max(A)
    m2 = min(A)
    ans = m1 -m2
    print(ans)

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


l_s = []
check = 0
for i in range(0,N):
    if(A[i] == 0):
        check =1
if(check == 1):
    for i in range(1,N):
          l_s.append(A[i]-A[i-1])
    l_s.append(K-A[N-1])
    num = 0
    ans = 99999999999999999
    for i in range(0,N):
        num = K - l_s[i]
        ans = min(ans,num)
    print(ans)
    
else: 
    for i in range(1,N):
        l_s.append(A[i]-A[i-1])
    l_s.append(K-A[N-1]+A[0])
    m1 = max(l_s)
    ans = K-m1
    print(ans)
Buggy python submission (verdict: Runtime Error):
import math

def combinations_count(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

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

if(N == 1 and M == 1):
	ans = 0
elif(N != 0 and M != 0): 
	ans = combinations_count(N, 2)
	ans += combinations_count(M, 2)
elif(N == 1 and M != 1):
  ans = combinations_count(M, 2)
elif(N != 1 and M == 1):
  ans = combinations_count(N, 2)
elif(N == 1 and M ==1 ):
  ans = 0
elif(N == 0 and M != 0):
  ans = combinations_count(M, 2)
elif(N != 0 and M == 0):
  ans = combinations_count(N, 2)
  
print(ans)


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

ansA = 0

if N < 2 and M < 2:
    ansA = 0
if N >=2:
    ansA += ((N * (N-1)) / 2)
if M >= 2:
    ansA += ((M * (M-1)) / 2)

print(int(ansA))
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
import collections

N = int(input())
a = [input() for i in range(N)]

c = collections.Counter(a)

i = 0
list = []
if(len(c.most_common()) == 1):
	list.append(c.most_common()[0][0])
elif(len(c.most_common()) == N):
  list = a
else:
  ##for i in range(0,len(c.most_common())-1):
    while(c.most_common()[i][1] == c.most_common()[0][1]):
        list.append(c.most_common()[i][0])
        i += 1



list.sort()

print(' \n'.join(map(str, list)))

    



Fixed submission:
from collections import Counter
import collections

N = int(input())
a = [input() for i in range(N)]

c = collections.Counter(a)
hoge = c.most_common()
i = 0

list = []
if(len(hoge) == 1):
	list.append(hoge[0][0])
elif(len(hoge) == N):
  list = a
else:
  ##for i in range(0,len(c.most_common())-1):
    while(hoge[i][1] == hoge[0][1]):
        list.append(hoge[i][0])
        i += 1



list.sort()

print(' \n'.join(map(str, list)))

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
import collections

N = int(input())
a = [input() for i in range(N)]

c = collections.Counter(a)

list = []
if(len(c.most_common()) == 1):
	list.append(c.most_common()[0][0])
elif(len(c.most_common()) == N):
  list = a
else:
  for i in range(0,len(c.most_common())-1):
    if(c.most_common()[i][1] == c.most_common()[0][1]):
        list.append(c.most_common()[i][0])



list.sort()

print(' \n'.join(map(str, list)))

    



Fixed submission:
from collections import Counter
import collections

N = int(input())
a = [input() for i in range(N)]

c = collections.Counter(a)
hoge = c.most_common()
i = 0

list = []
if(len(hoge) == 1):
	list.append(hoge[0][0])
elif(len(hoge) == N):
  list = a
else:
  ##for i in range(0,len(c.most_common())-1):
    while(hoge[i][1] == hoge[0][1]):
        list.append(hoge[i][0])
        i += 1



list.sort()

print(' \n'.join(map(str, list)))

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
import collections

N = int(input())
a = [input() for i in range(N)]



c = collections.Counter(a)

list = []
if(len(c.most_common()) == 1):
	list.append(c.most_common()[0][0])



for i in range(0,len(c.most_common())-1):
    if(c.most_common()[i][1] == c.most_common()[0][1]):
        list.append(c.most_common()[i][0])

if(len(c.most_common()) == N):
  list.append(c.most_common()[N-1][0])

list.sort()

print(' \n'.join(map(str, list)))

    



Fixed submission:
from collections import Counter
import collections

N = int(input())
a = [input() for i in range(N)]

c = collections.Counter(a)
hoge = c.most_common()
i = 0

list = []
if(len(hoge) == 1):
	list.append(hoge[0][0])
elif(len(hoge) == N):
  list = a
else:
  ##for i in range(0,len(c.most_common())-1):
    while(hoge[i][1] == hoge[0][1]):
        list.append(hoge[i][0])
        i += 1



list.sort()

print(' \n'.join(map(str, list)))
Buggy python submission (verdict: Runtime Error):
N,K = map(int, input().split())
l = list(map(int,input().split()))
l.sort()
i  = 0
while(i<K):
	l[N-i-1] = 0
	i += 1
ans = sum(l)
print(ans)

Fixed submission:
N,K = map(int, input().split())
l = list(map(int,input().split()))
l.sort()
i  = 0

if(K >= N):
  ans = 0
else:
  while(i<K):
    l[N-i-1] = 0
    i += 1
  ans = sum(l)
print(ans)
Buggy python submission (verdict: Runtime Error):
a = list(map(int, input().split()))

if(a[0] >= a[2]):
    a[0] = a[0] -a[2]
    a[2] = 0
     a[2] = a[2] - a[0]
elif(a[1] >= a[2]):
    a[0] = 0
    a[1] = a[1] -a[2]
else:
    a[1] = 0
print("%d %d"%(a[0],a[1]))


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

t = a[0]-a[2]

if t<0:

    a[1] = a[1] +t
    if(a[1] < 0):
        a[1] = 0
    t = 0

print("%d %d"%(t,a[1]))

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

if((a[0]+a[1]) == a[2]):
    print("0 0")

if((a[0]+a[1]) != a[2]):
    for i in range(0, a[2]):
        if(a[0] >= 1):
            a[0] -= 1
        elif(a[1] >= 1):
            a[1] -= 1
    print("%d %d"%(a[0],a[1]))    

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

t = a[0]-a[2]

if t<0:

    a[1] = a[1] +t
    if(a[1] < 0):
        a[1] = 0
    t = 0

print("%d %d"%(t,a[1]))

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

if((a[0]+a[1]) == a[2]):
    print("0 0")

if((a[0]+a[1]) != a[2])
for i in range(0, a[2]):
    if(a[0] >= 1):
        a[0] -= 1

    elif(a[1] >= 1):
        a[1] -= 1

print("%d %d"%(a[0],a[1]))   

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

t = a[0]-a[2]

if t<0:

    a[1] = a[1] +t
    if(a[1] < 0):
        a[1] = 0
    t = 0

print("%d %d"%(t,a[1]))
Buggy python submission (verdict: Runtime Error):
import math
def lem(x,y):
	return (x * y) // math.gcd(x,y)

A,B = map(int, input().split())
print(lem(A,B))

Fixed submission:
import math
import fractions
def lem(x,y):
	return (x * y) // fractions.gcd(x,y)

A,B = map(int, input().split())
print(lem(A,B))

Buggy python submission (verdict: Runtime Error):
import math
def lem(x,y):
	return (x * y) // math.gcd(x,y)

A,B = map(int, input().split())
print(lem(A,B))




Fixed submission:
import math
import fractions
def lem(x,y):
	return (x * y) // fractions.gcd(x,y)

A,B = map(int, input().split())
print(lem(A,B))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
count = 1
l = []
for i in range(0,N):
	for j in range(0,N):
		if(count == A[j]):
			l.append(j+1)
			count += 1
			break

print(' '.join(map(str, l)))

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
count = 1
l = [0]*N

for i in A:
	l[i-1] = count
	count += 1
    
print(' '.join(map(str, l)))
Buggy python submission (verdict: Runtime Error):

N = int(input())
SP = []
for i in range(N):
    s, p = input().split()
    p = int(p)
    SP.append((s, -n, i))
SP.sort()

for s, n, i in SP:
    print(i+1)


Fixed submission:

N = int(input())
SP = []
for i in range(N):
    s, n = input().split()
    n = int(n)
    SP.append((s, -n, i))
SP.sort()

for s, n, i in SP:
    print(i+1)
Buggy python submission (verdict: Runtime Error):
s = input()
if s[-1]=='s':
  print(s+'es')
  else:
    print(s+'s')

Fixed submission:
s = input()
if s[-1]=='s':
    print(s+'es')
else:
    print(s+'s')
Buggy python submission (verdict: Runtime Error):


n = int(input())
l = [1]*(n+1)
l[0] = 0
ans = l[1]

for i in range(2,n+1):
    for j in range(i,n+1,i):
        l[j] += 1

    ans += (l[i]*i)
return ans



print(ans)


Fixed submission:
from numba import njit
@njit("i8(i8)")

def f(n):

    
    l = [1]*(n+1)
    l[0] = 0
    ans = l[1]
    for i in range(2,n+1):
        for j in range(i,n+1,i):
            l[j] += 1

        ans += (l[i]*i)
    return ans

n = int(input())
print(f(n))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = [1]*(n+1)
l[0] = 0
ans = l[1]
for i in range(2,n+1):
    for j in range(i,n+1,i):
        l[j] += 1

    ans += (l[i]*i)

print(ans)


Fixed submission:
from numba import njit
@njit("i8(i8)")

def f(n):

    
    l = [1]*(n+1)
    l[0] = 0
    ans = l[1]
    for i in range(2,n+1):
        for j in range(i,n+1,i):
            l[j] += 1

        ans += (l[i]*i)
    return ans

n = int(input())
print(f(n))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = [1]*(n+1)
l[0] = 0

for i in range(2,n+1):
    f=i
    while(f<=n):
        l[f] += 1
        f += i

    l[i] = l[i]*i

print(sum(l))


Fixed submission:
from numba import njit
@njit("i8(i8)")

def f(n):

    
    l = [1]*(n+1)
    l[0] = 0
    ans = l[1]
    for i in range(2,n+1):
        for j in range(i,n+1,i):
            l[j] += 1

        ans += (l[i]*i)
    return ans

n = int(input())
print(f(n))
Buggy python submission (verdict: Time Limit Exceeded):
x,n = map(int,input().split())
l = [int(x) for x in input().split()]
mp = [False]*101
for i in range(n):
    mp[l[i]] = True



queue = [x]
while(len(queue)>0):
    now = queue.pop(0)
    if(now <= 0 or now >=101):
        print(now)
        break
    if(mp[now]==False):
        print(now)
        break
    
    
    queue.append(now-1)
    queue.append(now+1)


Fixed submission:
x,n = map(int,input().split())
l = [int(x) for x in input().split()]
mp = [False]*101
for i in range(n):
    mp[l[i]] = True



queue = [x]
while(len(queue)>0):
    now = queue.pop(0)
    if(now <= 0 or now >=101):
        print(now)
        break
    if(mp[now]==False):
        print(now)
        break
    
    if(now==x):
        queue.append(now-1)
        queue.append(now+1)
    if(now < x):
        queue.append(now-1)
    if(now > x):
        queue.append(now+1)

Buggy python submission (verdict: Runtime Error):
x,n = map(int,input().split())
l = [int(x) for x in input().split()]
mp = [False]*101
for i in range(n):
    mp[l[i]] = True



queue = [x]
while(len(queue)>0):
    now = queue.pop(0)
    if(mp[now]==False):
        print(now)
        exit()
    if(now <= 0 or now >=101):
        print(now)
        exit()
    
    queue.append(now-1)
    queue.append(now+1)


Fixed submission:
x,n = map(int,input().split())
l = [int(x) for x in input().split()]
mp = [False]*101
for i in range(n):
    mp[l[i]] = True



queue = [x]
while(len(queue)>0):
    now = queue.pop(0)
    if(now <= 0 or now >=101):
        print(now)
        break
    if(mp[now]==False):
        print(now)
        break
    
    if(now==x):
        queue.append(now-1)
        queue.append(now+1)
    if(now < x):
        queue.append(now-1)
    if(now > x):
        queue.append(now+1)

Buggy python submission (verdict: Runtime Error):
x,n = map(int,input().split())
l = [int(x) for x in input().split()]
mp = [False]*101
for i in range(n):
    mp[l[i]] = True



queue = [x]
while(queue):
    now = queue.pop(0)
    if(mp[now]==False):
        print(now)
        exit()
    queue.append(now-1)
    queue.append(now+1)


Fixed submission:
x,n = map(int,input().split())
l = [int(x) for x in input().split()]
mp = [False]*101
for i in range(n):
    mp[l[i]] = True



queue = [x]
while(len(queue)>0):
    now = queue.pop(0)
    if(now <= 0 or now >=101):
        print(now)
        break
    if(mp[now]==False):
        print(now)
        break
    
    if(now==x):
        queue.append(now-1)
        queue.append(now+1)
    if(now < x):
        queue.append(now-1)
    if(now > x):
        queue.append(now+1)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = [int(x) for x in input().split()]
l.sort()
set_l = set(l)
set_l = sorted(set_l)
limit = 10**6
mp = [0]*(limit+1)
pre = None
for i in range(n):
    num = l[i]
    if(pre==num):
        mp[num] += 1
    pre = num

for x in set_l:
    num = x
    while(x <= limit):
        mp[x] += 1
        x += num

cnt = 0
for num in set_l:
    if(mp[num]==1):
        cnt += 1
print(cnt)





Fixed submission:
n = int(input())
l = [int(x) for x in input().split()]
l.sort()
set_l = set(l)
set_l = sorted(set_l)
limit = 10**6+1
mp = [0]*(limit)
pre = None
for i in range(n):
    num = l[i]
    if(pre==num):
        mp[num] += 1
    pre = num

for x in set_l:
    for y in range(x,limit,x):
        mp[y] += 1
        

cnt = 0
for num in set_l:
    if(mp[num]==1):
        cnt += 1
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

l = [int(x) for x in input().split()]
l.sort()
mp = [1]*n

for i in range(n):
    for j in range(i+1,n):
        if(mp[j]==0):
            continue
        if(l[j]==l[i]):
            mp[i] = 0
            mp[j] = 0
            continue
        if(l[j]%l[i]==0):
            mp[j] = 0
            continue

print(sum(mp))

Fixed submission:
n = int(input())
l = [int(x) for x in input().split()]
l.sort()
set_l = set(l)
set_l = sorted(set_l)
limit = 10**6+1
mp = [0]*(limit)
pre = None
for i in range(n):
    num = l[i]
    if(pre==num):
        mp[num] += 1
    pre = num

for x in set_l:
    for y in range(x,limit,x):
        mp[y] += 1
        

cnt = 0
for num in set_l:
    if(mp[num]==1):
        cnt += 1
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

l = [int(x) for x in input().split()]
l.sort()
mp = [1]*n
cnt = 0
for i in range(n):
    for j in range(i+1,n):
        if(l[j]==l[i]):
            mp[i] = 0
        if(l[j]%l[i]==0):
            mp[j] = 0
print(sum(mp))

Fixed submission:
n = int(input())
l = [int(x) for x in input().split()]
l.sort()
set_l = set(l)
set_l = sorted(set_l)
limit = 10**6+1
mp = [0]*(limit)
pre = None
for i in range(n):
    num = l[i]
    if(pre==num):
        mp[num] += 1
    pre = num

for x in set_l:
    for y in range(x,limit,x):
        mp[y] += 1
        

cnt = 0
for num in set_l:
    if(mp[num]==1):
        cnt += 1
print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
ans = 1
limit = 10**18
for x in input().split():
    x = int(x)
    ans *= x
    if(x==0):
        print(x)
        exit()


if(ans > limit):
        print(-1)
        exit()    
print(ans)


Fixed submission:
n = int(input())
ans = 1
l = [int(x) for x in input().split()]
limit = 10**18
if(0 in l):
    print(0)
    exit()

for x in l:
    x = int(x)
    ans *= x

    if(ans > limit):
        print(-1)
        exit()    

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

s_queue = [[1,0]]
while(len(s_queue)>0):
    i,cnt = s_queue.pop()
    if(cnt==k):
        break
    if(mp[i-1] in save):
        last=mp[i-1]
        break
    save.append(mp[i-1])
    s_queue.append([mp[i-1],cnt+1])


ls = len(save)

if(k<=ls):
    print(save[k-1])
else:
    for i in range(ls):
        if(save[i]==last):
            si = i
    k -= si
    save = save[si:]
    ls = len(save)
    amari = k%ls
    print(save[amari-1])


Fixed submission:
n,k = map(int,input().split())
mp = list(map(int,input().split()))
save = []
isSaved = [False]*(n+1)
s_queue = [[1,0]]
while(len(s_queue)>0):
    i,cnt = s_queue.pop()
    if(cnt==k):
        break
    if(isSaved[i]):
        last=mp[i-1]
        break
    nexti = mp[i-1]
    isSaved[i] = True
    save.append(nexti)
    s_queue.append([nexti,cnt+1])


ls = len(save)

if(k<=ls):
    print(save[k-1])
else:
    for i in range(ls):
        if(save[i]==last):
            si = i
    k -= si
    save = save[si:]
    ls = len(save)
    amari = k%ls
    print(save[amari-1])