Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input():
  return sys.stdin.readline().rstrip()
n, k = [int(i) for i in input().split()]
h = sorted(int(input()) for _ in range(n))
a = float("inf")
for i in range(n - k + 1):
  hik = h[i:i + k]
  a = min(a, hik[-1] - hik[0])
print(a)

Fixed submission:
import sys
def input():
  return sys.stdin.readline().rstrip()
n, k = [int(i) for i in input().split()]
h = sorted(int(input()) for _ in range(n))
print(min(h[i + k - 1] - h[i] for i in range(n - k + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input():
  return sys.stdin.readline().rstrip()
n, k = [int(i) for i in input().split()]
h = sorted(int(input()) for _ in range(n))
a = float("inf")
for i in range(n - k + 1):
  hik = h[i:i + k]
  a = min(a, max(hik) - min(hik))
print(a)

Fixed submission:
import sys
def input():
  return sys.stdin.readline().rstrip()
n, k = [int(i) for i in input().split()]
h = sorted(int(input()) for _ in range(n))
print(min(h[i + k - 1] - h[i] for i in range(n - k + 1)))
Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())
k = m // n
while m % k:
    k -= 1
print(k)

Fixed submission:
n, m = map(int, input().split())
k = m
for i in range(1, int(m**0.5) + 1):
    if m % i:
        continue
    if i >= n:
        print(m // i)
        break
    if m // i >= n:
        k = i
else:
    print(k)
Buggy python submission (verdict: Runtime Error):
from collections import Counter
from operator import itemgetter

n = int(input())
v = [int(i) for i in input().split()]
a = sorted(Counter(v[::2]).items(), key=itemgetter(1))
b = sorted(Counter(v[1::2]).items(), key=itemgetter(1))
ka, va = a[-1]
kb, vb = b[-1]
if ka != kb:
    print(n - va - vb)
else:
    sa = a[-2][1] if len(a) > 1 else va
    sb = b[-2][1] if len(b) > 1 else vb
    if len(a) == len(b) == 1:
        sa = 0
    if sa < sb:
        print(n - sa - vb)
    else:
        print(n - va - sb)
from collections import Counter
from operator import itemgetter

n = int(input())
v = [int(i) for i in input().split()]
a = sorted(Counter(v[::2]).items(), key=itemgetter(1))
b = sorted(Counter(v[1::2]).items(), key=itemgetter(1))
ka, va = a[-1]
kb, vb = b[-1]
if ka != kb:
    print(n - va - vb)
else:
    sa = a[-2][1] if len(a) > 1 else va
    sb = b[-2][1] if len(b) > 1 else vb
    if len(a) == len(b) == 1:
        sa = 0
    if sa < sb:
        print(n - sa - vb)
    else:
        print(n - va - sb)

Fixed submission:
from collections import Counter
from operator import itemgetter

n = int(input())
v = [int(i) for i in input().split()]
a = sorted(Counter(v[::2]).items(), key=itemgetter(1))
b = sorted(Counter(v[1::2]).items(), key=itemgetter(1))
ka, va = a[-1]
kb, vb = b[-1]
if ka != kb:
    print(n - va - vb)
else:
    sa = a[-2][1] if len(a) > 1 else va
    sb = b[-2][1] if len(b) > 1 else vb
    if len(a) == len(b) == 1:
        sa, sb = 0, 0
    print(n - max(sa + vb, va + sb))
Buggy python submission (verdict: Runtime Error):
s = input()
if input() != "1":
    s = s.lstrip("1")
print(s[0])

Fixed submission:
s = input()
k = int(input())
fl = True
for i in range(k):
    fl &= s[i] == "1"
    if not fl:
        print(s[i])
        break
else:
    print(1)
Buggy python submission (verdict: Runtime Error):
n, k = [int(i) - 1 for i in input().split()]
print(int(n % k != 0))

Fixed submission:
n, k = [int(i) for i in input().split()]
print(int(n % k != 0))
Buggy python submission (verdict: Runtime Error):
n = int(input())
x = [int(i) for i in input().split()]
xs = sorted(x)
indices = [-1] * (max(x) + 1)
for i in range(n):
  if indices[xs[i]] == -1:
    indices[xs[i]] = i
for i in range(n):
  print(xs[n // 2 - int(indices[x[i]] >= n // 2)])

Fixed submission:
n = int(input())
x = [int(i) for i in input().split()]
xs = sorted(x)
d = dict()
for i in range(n):
  if xs[i] not in d:
    d[xs[i]] = i
for i in range(n):
  print(xs[n // 2 - int(d[x[i]] >= n // 2)])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
x = [int(i) for i in input().split()]
xs = sorted(x)
for i in range(n):
  xi = xs.copy()
  xi.remove(x[i])
  print(xi[n // 2 - 1])

Fixed submission:
n = int(input())
x = [int(i) for i in input().split()]
xs = sorted(x)
d = dict()
for i in range(n):
  if xs[i] not in d:
    d[xs[i]] = i
for i in range(n):
  print(xs[n // 2 - int(d[x[i]] >= n // 2)])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
x = [int(i) for i in input().split()]
for i in range(n):
  print(sorted(x[:i] + x[i + 1:])[n // 2 - 1])

Fixed submission:
n = int(input())
x = [int(i) for i in input().split()]
xs = sorted(x)
d = dict()
for i in range(n):
  if xs[i] not in d:
    d[xs[i]] = i
for i in range(n):
  print(xs[n // 2 - int(d[x[i]] >= n // 2)])
Buggy python submission (verdict: Runtime Error):
va, b, k = [int(i) for i in input().split()]
print(*([i for i in range(a, min(a + k, b + 1))] + [i for i in range(max(a + k, b - k + 1), b + 1)]), sep="\n")

Fixed submission:
a, b, k = [int(i) for i in input().split()]
print(*([i for i in range(a, min(a + k, b + 1))] + [i for i in range(max(a + k, b - k + 1), b + 1)]), sep="\n")

Buggy python submission (verdict: Time Limit Exceeded):
a, b, k = [int(i) for i in input().split()]
print(*[i for i in range(a, b + 1) if i < a + k or b - k < i], sep="\n")

Fixed submission:
a, b, k = [int(i) for i in input().split()]
print(*([i for i in range(a, min(a + k, b + 1))] + [i for i in range(max(a + k, b - k + 1), b + 1)]), sep="\n")
Buggy python submission (verdict: Runtime Error):
n = int(input())
red = {tuple(int(i) for i in input().split()): False for _ in range(n)}
blue = {tuple(int(i) for i in input().split()): False for _ in range(n)}
c = 0
for b in sorted(blue.keys()):
    for r in sorted(red.keys(), key=itemgetter(1), reverse=True):
        if not red[r] and b[0] > r[0] and b[1] > r[1]:
            red[r] = True
            blue[b] = True
            c += 1
            break
print(c)

Fixed submission:
from operator import itemgetter


n = int(input())
red = {tuple(int(i) for i in input().split()): False for _ in range(n)}
blue = {tuple(int(i) for i in input().split()): False for _ in range(n)}
c = 0
for b in sorted(blue.keys()):
    for r in sorted(red.keys(), key=itemgetter(1), reverse=True):
        if not red[r] and b[0] > r[0] and b[1] > r[1]:
            red[r] = True
            blue[b] = True
            c += 1
            break
print(c)
Buggy python submission (verdict: Runtime Error):
import sys
from itertools import accumulate

def read():
    return sys.stdin.readline().rstrip()

def main():
    n = 10**5
    p = [i % 2 != 0 and i % 3 != 0 and i % 5 != 0 and i % 7 != 0 for i in range(n + 1)]
    p[1] = False
    p[2] = p[3] = p[5] = p[7] = True
    for pi in range(3, int(n ** 0.5) + 1, 2):
        if not p[pi]:
            continue
        for i in range(pi ** 2, n + 1, pi):
            p[i] = False
    like = [i % 2 == 1 and p[i] and p[(i + 1) // 2] for i in range(n)]
    a = list(accumulate(like[1:], initial=0))
    for _ in range(int(read())):
        l, r = map(int, read().split())
        print(a[r] - a[l - 1])

if __name__ == '__main__':
    main()

Fixed submission:
import sys
from itertools import accumulate

def read():
    return sys.stdin.readline().rstrip()

def main():
    n = 10**5
    p = [i % 2 != 0 and i % 3 != 0 and i % 5 != 0 and i % 7 != 0 for i in range(n + 1)]
    p[1] = False
    p[2] = p[3] = p[5] = p[7] = True
    for pi in range(3, int(n ** 0.5) + 1, 2):
        if not p[pi]:
            continue
        for i in range(pi ** 2, n + 1, pi):
            p[i] = False
    like = [i % 2 == 1 and p[i] and p[(i + 1) // 2] for i in range(n)]
    a = [0] + list(accumulate(like))[1:]
    for _ in range(int(read())):
        l, r = map(int, read().split())
        print(a[r] - a[l - 1])

if __name__ == '__main__':
    main()
Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect

n = int(input())
a = sorted(map(int, input().split()))
b = sorted(map(int, input().split()))
c = sorted(map(int, input().split()))
ab = [bisect(b, ai) for ai in a]
bc = [bisect(c, bi) for bi in b]
cnt = 0
for bi in ab:
    if bi == n:
        continue
    for i in range(bi, n):
        if bc[i] == n:
            continue
        cnt += n - bc[i]
print(cnt)

Fixed submission:
from bisect import bisect_left, bisect_right

n = int(input())
a = sorted(map(int, input().split()))
b = sorted(map(int, input().split()))
c = sorted(map(int, input().split()))
ba = [bisect_left(a, bi) for bi in b]
bc = [bisect_right(c, bi) for bi in b]
cnt = 0
for i in range(n):
    cnt += ba[i] * (n - bc[i])
print(cnt)

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

n = int(input())
a = sorted(map(int, input().split()))
b = sorted(map(int, input().split()))
c = sorted(map(int, input().split()))
cnt = 0

for i in range(n):
    bi = bisect(b, a[i])
    if bi >= n:
        continue
    for j in range(bi, n):
        cj = bisect(c, b[j])
        if cj >= n:
            continue
        cnt += n - cj
print(cnt)

Fixed submission:
from bisect import bisect_left, bisect_right

n = int(input())
a = sorted(map(int, input().split()))
b = sorted(map(int, input().split()))
c = sorted(map(int, input().split()))
ba = [bisect_left(a, bi) for bi in b]
bc = [bisect_right(c, bi) for bi in b]
cnt = 0
for i in range(n):
    cnt += ba[i] * (n - bc[i])
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n = int(input())
a = np.array(sorted([int(i) for i in input().split()]))
b = np.array(sorted([int(i) for i in input().split()]))
c = np.array(sorted([int(i) for i in input().split()]))
cnt = 0
for ai in a:
  for bi in b:
    if bi <= ai:
      continue
    cnt += len(c[c > bi])
    # print(ai, bi, c[c > bi])
print(cnt)

Fixed submission:
from bisect import bisect_left, bisect_right

n = int(input())
a = sorted(map(int, input().split()))
b = sorted(map(int, input().split()))
c = sorted(map(int, input().split()))
ba = [bisect_left(a, bi) for bi in b]
bc = [bisect_right(c, bi) for bi in b]
cnt = 0
for i in range(n):
    cnt += ba[i] * (n - bc[i])
print(cnt)
Buggy python submission (verdict: Runtime Error):
n = int(input())
    s = input()
    d = 0
    x = n
    for si in s:
        if si == "(":
            d += 1
        else:
            d -= 1
        x = min(d, x)
    print("(" * -x + s + ")" * (d - x))

Fixed submission:
input()
s = input()
d = 0
x = 0
for c in s:
    if c == "(":
        d += 1
    else:
        d -= 1
    x = min(d, x)
print("(" * -x + s + ")" * (d - x))
Buggy python submission (verdict: Runtime Error):
n=int(input());print([0,pow(2,(n//2),(10**9+7))][sorted(map(int,input().split()))==[i+(i+N+1)%2for i in range(N)]])

Fixed submission:
n=int(input());print([0,2**(n//2)%(10**9+7)][sorted(map(int,input().split()))==[(i+n%2)//2*2+1-n%2for i in range(n)]])
Buggy python submission (verdict: Runtime Error):
a,b,h=map(int,input().split());print((a+b)*h//2)

Fixed submission:
a,b,h=map(int,open(0));print((a+b)*h//2)
Buggy python submission (verdict: Runtime Error):
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy as np
import sys
import math
import collections
par = []
def init(n):
    for i in range(n):
        par.append(i)

def root(x):
    if par[x] == x:
        return x
    else:
        par[x] = root(par[x])
        return par[x]

def same(x,y):
    if root(x) == root(y):
        return True
    else:
        return False

def unite(x,y):
    x = root(x)
    y = root(y)
    if x==y:
        return
    par[x] = y
n,m = L()
ab = NL(m)
init(n)
#print(ab)
#print(par)
for a,b in ab:
    unite(a,b)
#print(par)
count = collections.Counter(par)
print(len(count)-1)

Fixed submission:
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy as np
import sys
import math
import collections
par = []
def init(n):
    for i in range(n):
        par.append(i)

def root(x):
    if par[x] == x:
        return x
    else:
        par[x] = root(par[x])
        return par[x]

def same(x,y):
    if root(x) == root(y):
        return True
    else:
        return False

def unite(x,y):
    x = root(x)
    y = root(y)
    if x==y:
        return
    par[y] = x
n,m = L()
ab = NL(m)
init(n)
#print(ab)
#print(par)
for a,b in ab:
    unite(a-1,b-1)
    #print(par)

for i in range(len(par)):
    root(i)
#print(par)
count = collections.Counter(par)
print(len(count)-1)
Buggy python submission (verdict: Runtime Error):
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy
#import sympy
import math
def divisors(n):
    num = 0
    for i in range(1, int(math.sqrt(n) + 1)):
        if n % i == 0:
            num += 1
            if n != i**2:
                num += 1
    
    return num
n = N()
cnt = 0
for i in range(1,n):
    ab = n-i
    cnt += divisors(ab)
print(cnt)

Fixed submission:
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy

s =input()
l = len(s)
if s[l-1] == 's':
    print(s + 'es')
else:
    print(s + 's')
Buggy python submission (verdict: Time Limit Exceeded):
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy
#import sympy
import math
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]
def divi(n):
    ans = {1}
    for i in range(2,int(n**0.5)+1):
        if n%i == 0:
            ans |= l[i]
            ans |= l[n//i]
    ans.add(n)
    return ans

n = N()
cnt = 1
l = [{} for _ in range(n)]
l[1] = {1}
for i in range(2,n):
    #l[i] = make_divisors(i)
    l[i] = divi(i)
    cnt += len(l[i])

print(cnt)

Fixed submission:
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy
#import sympy
import math
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]
def divi(n):
    ans = {1}
    for i in range(2,int(n**0.5)+1):
        if n%i == 0:
            ans |= l[i]
            ans |= l[n//i]
    ans.add(n)
    return ans

n = N()
cnt = 1
l = [{} for _ in range(n)]
l[1] = {1}
tab = [0]*(n+1)
for i in range(1,n+1):
    for j in range(i, n + 1, i):
        tab[j] += 1
tab[n]=0
print(sum(tab))

Buggy python submission (verdict: Time Limit Exceeded):
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy
#import sympy
import math
def divisors(n):
    num = 0
    for i in range(1, int(math.sqrt(n) + 1)):
        if n % i == 0:
            num += 1
            if n != i**2:
                num += 1
    
    return num
n = N()
cnt = 0
for i in range(1,n):
    ab = n-i
    cnt += divisors(ab)
print(cnt)

Fixed submission:
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy
#import sympy
import math
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]
def divi(n):
    ans = {1}
    for i in range(2,int(n**0.5)+1):
        if n%i == 0:
            ans |= l[i]
            ans |= l[n//i]
    ans.add(n)
    return ans

n = N()
cnt = 1
l = [{} for _ in range(n)]
l[1] = {1}
tab = [0]*(n+1)
for i in range(1,n+1):
    for j in range(i, n + 1, i):
        tab[j] += 1
tab[n]=0
print(sum(tab))
Buggy python submission (verdict: Time Limit Exceeded):
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
#import numpy
#import sympy
import math
md = 998244353

n,k = L()
lr = NL(k)
s = set()

for l,r in lr:
    s |= set(range(l,r+1))
l = [0]*(n+1)
l[1]=1

for i in range(1,n+1):
    for j in s:
        if i+j<n+1:
            l[i+j] = (l[i+j]+l[i])%md
    #print(l)
#print(l)
print(l[n]%md)

Fixed submission:
def N():
    return int(input())
def L():
    return list(map(int,input().split()))
def NL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
import numpy as np
#import sympy
import math
md = 998244353

n,k = L()
lr = NL(k)
s = set()

for l,r in lr:
    s |= set(range(l,r+1))


dp = [0]*(n+1)
dp[1]=1
#dp[2]=-1
c = [0]*(n+1)
for i in range(1,n+1):
    dp[i] = (dp[i]+dp[i-1])%md
    for l,r in lr:
        if i+l < n+1:
            dp[i+l] += dp[i]
            dp[i+l] %= md
            if i+r+1 < n+1:
                dp[i+r+1] -= dp[i]
                dp[i+r+1] %= md

print((dp[n] - dp[n-1])%md)
Buggy python submission (verdict: Runtime Error):
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))
def inNL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
import numpy
n = inN()

if n < 3:
    print(0)
    exit()
elif n < 6:
    print(1)
    exit()


m = n//3
n -= 5
l = [1]*n
ans = 1
for i in range(m-1):
    l = numpy.cumsum(l)
    l %= mod
    ans += l[n-1]%mod
    n -= 3

print(ans%mod)
    

Fixed submission:
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))
def inNL(n):
    return [list(map(int,input().split())) for i in range(n)]
mod = pow(10,9)+7
import numpy
n = inN()

if n < 3:
    print(0)
    exit()
elif n < 6:
    print(1)
    exit()


m = n//3
n -= 5
l = [1]*n
ans = 1
for i in range(m-1):
    l = numpy.cumsum(l)
    l %= mod
    ans += l[n-1]%mod
    n -= 3

print(ans%mod)
Buggy python submission (verdict: Time Limit Exceeded):
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))

n,k = inL()
a = inL()
sum = 1
sum2 = 1
for i in range(k):
    sum2 *= a[i]
for i in range(k,n):
    #print(sum2)
    sum = sum2 * a[i] / a[i-k] 
    if sum > sum2:
        print('Yes')
    else:
        print('No')
    sum2 = sum

Fixed submission:
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))

n,k = inL()
a = inL()

for i in range(k,n):
    if a[i] > a[i-k]:
        print('Yes')
    else:
        print('No')

Buggy python submission (verdict: Time Limit Exceeded):
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))

n,k = inL()
a = inL()
sum = 1
sum2 = 1
for i in range(k):
    sum2 *= a[i]
for i in range(k,n):
    #print(sum2)
    sum = 1
    for j in range(i-k+1,i+1):
        sum *= a[j]
    if sum > sum2:
        print('Yes')
    else:
        print('No')
    sum2 = sum

Fixed submission:
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))

n,k = inL()
a = inL()

for i in range(k,n):
    if a[i] > a[i-k]:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Time Limit Exceeded):
import math
n = int(input())
def g(x,y,z):
    t = x**2 + y**2 + z**2 + x*y + y*z + z*x
    #print(x,y,z,t)
    return t
ans = []
def f(n):
    #sum = 0
    rn = int(math.sqrt(n))
    for i in range(1,rn+1):
        #print(i,end='')
        for j in range(1,rn+1):
            for k in range(1,rn+1):
                #print(i,j,k)
                t = g(i,j,k)
                if t == n:
                    if (i == j and j==k):
                        #sum += 1
                        ans.append(str(1))
                        return
                    elif (i == j and j != k and i != k) or (i == k and j != k and i != j) or (i != j and j == k and i != k):
                        #sum += 3
                        ans.append(str(3))
                        return
                    else:#elif i != j and i != k and j != k:
                        #sum += 6
                        ans.append(str(6))
                        return
                elif t > n:
                    break
    ans.append(str(0))
                

    

for i in range(1,n+1):
    f(i)


print('\n'.join(ans))

Fixed submission:
n = int(input())
ans = [0]*(10**4+1)
for x in range(1,10**2+1):
    for y in range(1,10**2+1):
        for z in range(1,10**2+1):
            i = x*x + y*y + z*z + x*y + x*z + y*z
            if i <= 10**4:
                ans[i] += 1
            else:
                break
#print(ans)
for i in range(1,n+1):
    print(ans[i])
Buggy python submission (verdict: Runtime Error):
def main():
    import sympy
    n = int(input())
    s = 0
    
    for i in range(1,n+1):
        s += i * len(sympy.divisors(i))
    print(s)

main()

Fixed submission:
def main():
    a = int(input())
    print(a + pow(a,2) + pow(a,3))

main()
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))
a.sort()
dp = [1]*(max(a)+1)
his = []
for i in range(n):
    if a[i] in his:
        dp[a[i]] = 0
    else:
        his.append(a[i])
        for j in range(a[i]*2,len(dp),a[i]):
            dp[j] = 0

sum = 0
for i in range(n):
    if dp[a[i]] == 1:
        sum += 1
print(sum)

Fixed submission:
import collections

n = int(input())
a = list(map(int,input().split()))
cnt = collections.Counter(a)
#print(cnt)
a.sort()
dp = [1]*(max(a)+1)

sum = 0
for i in range(n):
    for j in range(a[i]*2,len(dp),a[i]):
            dp[j] = 0
    if dp[a[i]] == 1 and cnt[a[i]]==1:
        sum += 1

print(sum)
Buggy python submission (verdict: Runtime Error):
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))
n = inN()
a = inL()
if 0 in a:
    print(0)
    exit()

sum = 1
for i in range(n):
    sum *= a[i]
    if sum <= pow(10,18):
        print(-1)
        exit()
print(sum)

Fixed submission:
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))

a,b = inL()
print(a*b)
Buggy python submission (verdict: Time Limit Exceeded):
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))
n = inN()
a = inL()
sum = 1
for i in range(n):
    sum *= a[i]

if sum <= pow(10,18):
    print(sum)
else:
    print(-1)

Fixed submission:
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))
n = inN()
a = inL()
if 0 in a:
    print(0)
    exit()

sum = 1
t = pow(10,18)
for i in range(n):
    sum *= a[i]
    if sum > t:
        print(-1)
        exit()
print(sum)

Buggy python submission (verdict: Time Limit Exceeded):
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))
n = inN()
a = inL()
sum = 1
for i in a:
    sum *= i
if sum <= pow(10,18):
    print(sum)
else:
    print(-1)

Fixed submission:
def inN():
    return int(input())
def inL():
    return list(map(int,input().split()))
n = inN()
a = inL()
if 0 in a:
    print(0)
    exit()

sum = 1
t = pow(10,18)
for i in range(n):
    sum *= a[i]
    if sum > t:
        print(-1)
        exit()
print(sum)