Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N = int(input())

ch = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']


# def Base_10_to_n(X, n):
#     X_dumy = X
#     out = ''
#     while X_dumy > 0:
#         out = ch[X_dumy % n - 1] + out
#         X_dumy = int(X_dumy / n)
#     return out


# print(Base_10_to_n(N, 26))

keta = 0
max = 0
while max < N:
    keta += 1
    max += 26 ** keta

res = ""
while keta > 0:
    res += ch[N // (26 ** (keta - 1)) - 1]
    N = N - (26 ** (keta - 1))
    keta -= 1
print(res)


Fixed submission:
N = int(input())
ans = ''
while N > 0:
    N -= 1
    ans += chr(ord('a') + N % 26)
    N //= 26
print(ans[::-1])

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

ch = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']


# def Base_10_to_n(X, n):
#     X_dumy = X
#     out = ''
#     while X_dumy > 0:
#         out = ch[X_dumy % n - 1] + out
#         X_dumy = int(X_dumy / n)
#     return out


# print(Base_10_to_n(N, 26))

keta = 0
max = 0
while max < N:
    keta += 1
    max += 26 ** keta

res = ""

while keta > 0:
    res += (ch[N // (26 ** (keta - 1)) - 1])
    N = N - (26 ** (keta - 1))
    keta -= 1

print(res)


Fixed submission:
N = int(input())
ans = ''
while N > 0:
    N -= 1
    ans += chr(ord('a') + N % 26)
    N //= 26
print(ans[::-1])
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
Q = int(input())
B = []
C = []
for i in range(Q):
    b, c = map(int, input().split())
    B.append(b)
    C.append(c)

A_new = {}
for a in A:
    if not a in A_new:
        A_new[a] = 1
    else:
        A_new[a] += 1

for i in range(Q):
    b = B[i]
    c = C[i]
    if b in A_new:
        n = A_new[b]
        A_new[b] = 0
        if c in A_new:
            A_new[c] += n
        else:
            A_new[c] = n
    key_list = A_new.keys()
    res = 0
    for k in key_list:
        res += A_new[k] * k
    print(res)


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
Q = int(input())
B = []
C = []
for i in range(Q):
    b, c = map(int, input().split())
    B.append(b)
    C.append(c)

A_new = {}
for a in A:
    if not a in A_new:
        A_new[a] = 1
    else:
        A_new[a] += 1

sum = 0
for i in range(0, 1):
    b = B[i]
    c = C[i]
    if b in A_new:
        n = A_new[b]
        A_new[b] = 0
        if c in A_new:
            A_new[c] += n
        else:
            A_new[c] = n
    key_list = A_new.keys()
    res = 0
    for k in key_list:
        res += A_new[k] * k
    print(res)
    sum = res


for i in range(1, Q):
    b = B[i]
    c = C[i]
    dif = 0
    if b in A_new:
        n = A_new[b]
        A_new[b] = 0
        if c in A_new:
            A_new[c] += n
        else:
            A_new[c] = n
        dif = c * n - b * n
    sum += dif
    print(sum)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
Q = int(input())
B = []
C = []
for i in range(Q):
    b, c = map(int, input().split())
    B.append(b)
    C.append(c)

for n in range(Q):
    A = [C[n] if i == B[n] else i for i in A]
    print(sum(A))


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
Q = int(input())
B = []
C = []
for i in range(Q):
    b, c = map(int, input().split())
    B.append(b)
    C.append(c)

A_new = {}
for a in A:
    if not a in A_new:
        A_new[a] = 1
    else:
        A_new[a] += 1

sum = 0
for i in range(0, 1):
    b = B[i]
    c = C[i]
    if b in A_new:
        n = A_new[b]
        A_new[b] = 0
        if c in A_new:
            A_new[c] += n
        else:
            A_new[c] = n
    key_list = A_new.keys()
    res = 0
    for k in key_list:
        res += A_new[k] * k
    print(res)
    sum = res


for i in range(1, Q):
    b = B[i]
    c = C[i]
    dif = 0
    if b in A_new:
        n = A_new[b]
        A_new[b] = 0
        if c in A_new:
            A_new[c] += n
        else:
            A_new[c] = n
        dif = c * n - b * n
    sum += dif
    print(sum)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))

A.sort()
L = []
pre_val = A[0]
count = 0
for a in A:
    if pre_val == a:
        count += 1
    else:
        temp = [pre_val, count]
        L.append(temp)
        count = 1
        pre_val = a
L.append([pre_val, count])

res = 0
for i in range(len(L)):
    flag = False
    if L[i][1] != 1:
        continue
    Ai = L[i][0]
    for j in range(i):
        Aj = L[j][0]
        if Ai % Aj == 0:
            flag = True
            break
    if flag is False:
        res += 1
print(res)


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

min_val = -1
for i in range(-1000, 1000):
    if i in P:
        continue
    if abs(min_val - X) > abs(X - i):
        min_val = i
if len(P) == 0:
    print(X)
else:
    print(min_val)

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

A.sort()
L = []
pre_val = A[0]
count = 0
for a in A:
    if pre_val == a:
        count += 1
    else:
        temp = [pre_val, count]
        L.append(temp)
        count = 1
        pre_val = a
L.append([pre_val, count])

res = 0
for i in range(len(L)):
    flag = False
    if A[i][1] != 1:
        continue
    Ai = L[i][0]
    for j in range(i):
        Aj = L[j][0]
        if Ai % Aj == 0:
            flag = True
            break
    if flag is False:
        res += 1
print(res)
N = int(input())
A = list(map(int, input().split()))

A.sort()
L = []
pre_val = A[0]
count = 0
for a in A:
    if pre_val == a:
        count += 1
    else:
        temp = [pre_val, count]
        L.append(temp)
        count = 1
        pre_val = a
L.append([pre_val, count])

res = 0
for i in range(len(L)):
    flag = False
    if A[i][1] != 1:
        continue
    Ai = L[i][0]
    for j in range(i):
        Aj = L[j][0]
        if Ai % Aj == 0:
            flag = True
            break
    if flag is False:
        res += 1
print(res)


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

min_val = -1
for i in range(-1000, 1000):
    if i in P:
        continue
    if abs(min_val - X) > abs(X - i):
        min_val = i
if len(P) == 0:
    print(X)
else:
    print(min_val)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
l = []
for i in range(N):
    l.append(str(input()))
res = []
max = 0
for s in l:
    num = l.count(s)
    if max > num:
        continue
    elif max == num:
        res.append(s)
    else:
        res = [s]
        max = num
res = list(set(res))
res.sort()
for r in res:
    print(r)


Fixed submission:
N = int(input())
d = {}
for i in range(N):
    s = str(input())
    if not s in d:
        d[s] = 1
    else:
        d[s] = d[s] + 1
max = 0
res = []
for key in d:
    num = d[key]
    if num < max:
        continue
    elif num == max:
        res.append(key)
    else:
        max = num
        res = [key]
res.sort()
for r in res:
    print(r)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
print("YES") if len(A) == len(list(set(A))) else print("NO")


Fixed submission:
S, T = map(str, input().split())
A, B = map(int, input().split())
U = str(input())
if S == U:
    A -= 1
else:
    B -= 1
print("{0} {1}".format(A, B))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = str(input())

l = []

for i in range(N - 2):
    for j in range(i + 1, N - 1):
        for k in range(j + 1, N):
            l.append("{0}{1}{2}".format(S[i], S[j], S[k]))
print(len(list(set(l))))


Fixed submission:
N = int(input())
S = str(input())

ans = 0

for i in range(0, 10):
    a = S.find(str(i))
    if a == -1:
        continue
    for j in range(0, 10):
        b = S.find(str(j), a + 1)
        if b == -1:
            continue
        for k in range(0, 10):
            c = S.find(str(k), b + 1)
            if c == -1:
                continue
            ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))

S=0

for i in range(N):
    for k in range(N-i-1):
        S+=A[i]*A[i+k+1]

ans=S%1000000007

print(ans)


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

mod=1000000007
S=0
sl=0

for i in range (N):
    sl+=A[i]
    sl%=mod
    
for j in range(N):
    sl-=A[j]
    if sl<0:
        sl+=mod
    S+=A[j]*sl
    S=S%mod

print(S)
Buggy python submission (verdict: Runtime Error):
whether=input(str())
if whether[1]==whether[2]==whether[3]=="R":
    print ("3")
elif whether[1]==whether[2]==whether[3]=="S":
    print ("0")
elif whether[1]==whether[2]=="R" or whether[2]==whether[3]=="R":
    print ("2")
else:
    print ("1")


Fixed submission:
whether=str(input())
if whether[0]==whether[1]==whether[2]=="R":
    print ("3")
elif whether[0]==whether[1]==whether[2]=="S":
    print ("0")
elif whether[0]==whether[1]=="R" or whether[1]==whether[2]=="R":
    print ("2")
else:
    print ("1")

Buggy python submission (verdict: Runtime Error):
whether=input(str())
if whether[1]==whether[2]==whether[3]=="R":
    print ("3")
elif whether[1]==whether[2]==whether[3]=="S":
    print ("0")
elif whether[1]==whether[2]=="R" or whether[2]==whether[3]=="R":
    print ("2")
else:
    print ("1")


Fixed submission:
whether=str(input())
if whether[0]==whether[1]==whether[2]=="R":
    print ("3")
elif whether[0]==whether[1]==whether[2]=="S":
    print ("0")
elif whether[0]==whether[1]=="R" or whether[1]==whether[2]=="R":
    print ("2")
else:
    print ("1")
Buggy python submission (verdict: Time Limit Exceeded):
n = list(map(int,input().split()))
a = list(map(int,input().split()))

now = 1
pre = 0
for i in range(0,n[1]):
    now *= a[i]

for i in range(n[1],n[0]):
    pre = now
    now /= a[i-n[1]]
    now *= a[i]

    if now > pre:
        print("Yes")
    else:
        print("No")


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

for i in range(n[1],n[0]):
    if a[i-n[1]] < a[i]:
        print("Yes")
    else:
        print("No")

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

now = 1
pre = 0
for i in range(0,n[1]):
    now *= a[i]

for i in range(n[1],n[0]):
    pre = now
    if a[i-n[1]] == 0:
        now = 1
    else:
        now /= a[i-n[1]]
    now *= a[i]
    if now > pre:
        print("Yes")
    else:
        print("No")


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

for i in range(n[1],n[0]):
    if a[i-n[1]] < a[i]:
        print("Yes")
    else:
        print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import sys
from collections import deque

input = sys.stdin.readline


def main():
    H, W = map(int, input().split())
    C_h, C_w = map(int, input().split())
    D_h, D_w = map(int, input().split())
    field = [list(input()) for _ in range(H)]
    direction = [(1, 0), (-1, 0), (0, 1), (0, -1)]
    F = [[float('inf')] * W for _ in range(H)]
    queue = deque([(C_h - 1, C_w - 1)])
    nextqueue = deque([])
    t = 0
    alr = set()
    while queue:
        i, j = queue.popleft()
        if not (i, j) in alr:
            F[i][j] = min(t, F[i][j])
            if D_h == i + 1 and D_w == j + 1:
                break
            alr.add((i, j))
            for dx, dy in direction:
                nx, ny = i + dx, j + dy
                if 0 <= nx <= H - 1 and 0 <= ny <= W - 1:
                    if field[nx][ny] == '.':
                        queue.append((nx, ny))
            for p in range(i - 2, i + 3):
                for q in range(j - 2, j + 3):
                    if 0 <= p <= H - 1 and 0 <= q <= W - 1:
                        if field[p][q] == '.':
                            nextqueue.append((p, q))
                            F[p][q] = min(F[p][q], t + 1)
        if not queue:
            queue = nextqueue.copy()
            nextqueue.clear()
            t += 1

    if F[D_h-1][D_w-1] == float('inf'):
        print(-1)
    else:
        print(F[D_h - 1][D_w - 1])


if __name__ == '__main__':
    main()


Fixed submission:
import sys
from collections import deque

input = sys.stdin.readline


def main():
    H, W = map(int, input().split())
    C_h, C_w = map(int, input().split())
    D_h, D_w = map(int, input().split())
    field = [list(input()) for _ in range(H)]
    direction = [(1, 0), (-1, 0), (0, 1), (0, -1)]
    F = [[float('inf')] * W for _ in range(H)]
    queue = deque([(C_h - 1, C_w - 1)])
    nextqueue = deque([])
    t = 0
    alr = set()
    while queue:
        i, j = queue.popleft()
        if not (i, j) in alr:
            F[i][j] = min(t, F[i][j])
            if D_h == i + 1 and D_w == j + 1:
                break
            alr.add((i, j))
            for dx, dy in direction:
                nx, ny = i + dx, j + dy
                if 0 <= nx <= H - 1 and 0 <= ny <= W - 1:
                    if field[nx][ny] == '.':
                        queue.append((nx, ny))
            for p in range(i - 2, i + 3):
                for q in range(j - 2, j + 3):
                    if 0 <= p <= H - 1 and 0 <= q <= W - 1:
                        if field[p][q] == '.':
                            nextqueue.append((p, q))
                            F[p][q] = min(F[p][q], t + 1)
        if not queue:
            queue = nextqueue.copy()
            nextqueue.clear()
            t += 1

    if F[D_h-1][D_w-1] == float('inf'):
        print(-1)
    else:
        print(F[D_h - 1][D_w - 1])


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

input = sys.stdin.readline


def main():
    H, W, M = map(int, input().split())
    row = [0] * (H)
    col = [0] * (W)
    bomb = set()
    for _ in range(M):
        h, w = map(int, input().split())
        bomb.add((h, w))
        row[h-1] += 1
        col[w-1] += 1
    row_max = max(row)
    row_index_list = [i for i, v in enumerate(row) if v == row_max]
    col_max = max(col)
    col_index_list = [i for i, v in enumerate(col) if v == col_max]
    res = 0
    for x in row_index_list:
        for y in col_index_list:
            ans = row[x] + col[y]
            if (x + 1, y + 1) in bomb:
                ans -= 1
            res = max(ans, res)
    print(res)


if __name__ == '__main__':
    main()


Fixed submission:
import sys

input = sys.stdin.readline


def main():
    H, W, M = map(int, input().split())
    row = [0] * (H)
    col = [0] * (W)
    bomb = set()
    for _ in range(M):
        h, w = map(int, input().split())
        bomb.add((h, w))
        row[h-1] += 1
        col[w-1] += 1
    row_max = max(row)
    row_index_list = [i for i, v in enumerate(row) if v == row_max]
    col_max = max(col)
    col_index_list = [i for i, v in enumerate(col) if v == col_max]
    ans = row_max + col_max - 1
    c = False
    for x in row_index_list:
        for y in col_index_list:
            if not (x + 1, y + 1) in bomb:
                c = True
                break
        if c:
            break
    if c:
        ans += 1
    print(ans)


if __name__ == '__main__':
    main()
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
P = list(map(int, input().split()))
C = list(map(int, input().split()))

ans = -float('inf')

for i in range(1, N+1):
    score = [0]
    alr = set()
    now = i
    while not now in alr:
        alr.add(now)
        now = P[now-1]
        score.append(score[-1] + C[now-1])
    if len(score)-1 >= K:
        for j in range(K):
            ans = max(ans, score[j+1])
    else:
        base = 0
        if score[-1] > 0:
            base = score[-1]*(K//(len(score)-1))
            L = K % (len(score)-1)
            for j in range(len(score)-1):
                ans = max(ans, (base-score[-1])+score[j+1])
            for j in range(L):
                ans = max(ans, base+score[j+1])
        else:
            for j in range(len(score)-1):
                ans = max(ans, base+score[j+1])

print(ans)
        


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

ans = -float('inf')

for i in range(1, N+1):
    score = [0]
    alr = set()
    now = i
    while not now in alr:
        alr.add(now)
        now = P[now-1]
        score.append(score[-1] + C[now-1])
    if len(score)-1 >= K:
        for j in range(K):
            ans = max(ans, score[j+1])
    else:
        base = 0
        if score[-1] > 0:
            base = score[-1]*(K//(len(score)-1))
            L = K % (len(score)-1)
            for j in range(len(score)-1):
                ans = max(ans, (base-score[-1])+score[j+1])
            for j in range(L):
                ans = max(ans, base+score[j+1])
        else:
            for j in range(len(score)-1):
                ans = max(ans, base+score[j+1])

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import math
import sys

input = sys.stdin.readline


def main():
    N, K = map(int, input().split())
    A = list(map(int, input().split()))

    for i in range(N):
        p = A[i]
        A[i] = [-p, i]

    heapq.heapify(A)
    C = [0]*N
    for j in range(K):
        x, y = heapq.heappop(A)
        cnt = C[y]
        x = x * (cnt+1) / (cnt+2)
        C[y] += 1
        heapq.heappush(A, [x, y])

    ans = heapq.heappop(A)[0]

    ans = math.ceil(-ans)

    print(ans)

if __name__ == "__main__":
    main()




Fixed submission:
import heapq
import math
import sys

input = sys.stdin.readline


def main():
    N, K = map(int, input().split())
    A = list(map(int, input().split()))

    def C(m):
        cnt = 0
        for i in range(N):
            cnt += math.ceil(A[i]/m)-1
        return cnt

    l, r = 0, max(A)
    while r - l > 1:
        mid = (l+r)//2
        if C(mid) <= K:
            r = mid
        else:
            l = mid
    
    print(r)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import math

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

for i in range(N):
    p = A[i]
    A[i] = [-p, i]

heapq.heapify(A)
C = [0]*N
for j in range(K):
    x, y = heapq.heappop(A)
    cnt = C[y]
    x = x * (cnt+1) / (cnt+2)
    C[y] += 1
    heapq.heappush(A, [x, y])

ans = heapq.heappop(A)[0]

ans = math.ceil(-ans)

print(ans)




Fixed submission:
import heapq
import math
import sys

input = sys.stdin.readline


def main():
    N, K = map(int, input().split())
    A = list(map(int, input().split()))

    def C(m):
        cnt = 0
        for i in range(N):
            cnt += math.ceil(A[i]/m)-1
        return cnt

    l, r = 0, max(A)
    while r - l > 1:
        mid = (l+r)//2
        if C(mid) <= K:
            r = mid
        else:
            l = mid
    
    print(r)

if __name__ == "__main__":
    main()
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
A = list(map(int, input().split()))

scores = []
s = 1
for j in range(K):
    s *= A[j]

for i in range(N-K+1):
    scores.append(s)
    if i == N-K:
        break
    s = s // A[i]
    s *= A[K+i]

for i in range(len(scores)-1):
    if scores[i+1] > scores[i]:
        print('Yes')
    else:
        print('No')

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

for i in range(N-K):
    if A[K+i] > A[i]:
        print('Yes')
    else:
        print('No')

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

scores = []
s = 1
for j in range(K):
    s *= A[j]

for i in range(N-K+1):
    scores.append(s)
    if i == N-K:
        break
    s = s // A[i]
    s *= A[K+i]

for i in range(len(scores)-1):
    if scores[i+1] > scores[i]:
        print('Yes')
    else:
        print('No')

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

for i in range(N-K):
    if A[K+i] > A[i]:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Runtime Error):
N = int(input())
X = input()
cnt = X.count('1')
Y, Z = 0, 0
for i in range(N):
    Y = (Y + int(X[i])*pow(2, N-i-1, cnt-1))%(cnt-1)
    Z = (Z + int(X[i])*pow(2, N-i-1, cnt+1))%(cnt+1)

def popcount(n):
    c = bin(n).count('1')
    return c

for i in range(N):
    if X[i] == '1':
        pc = cnt - 1
        if pc == 0:
            print(0)
            continue
        else:
            Y_i = (Y - pow(2, N-i-1, cnt-1))%(cnt-1)
            ans = 1
            while Y_i > 0:
                Y_i = Y_i % popcount(Y_i)
                ans += 1
            print(ans)
    else:
        Z_i = (Z + pow(2, N-i-1, cnt+1))%(cnt+1)
        ans = 1
        while Z_i > 0:
            Z_i = Z_i % popcount(Z_i)
            ans += 1
        print(ans)








Fixed submission:
N = int(input())
X = input()
cnt = X.count('1')
Y, Z = 0, 0
for i in range(N):
    if cnt > 1:
        Y = (Y + int(X[i])*pow(2, N-i-1, cnt-1))%(cnt-1)
    Z = (Z + int(X[i])*pow(2, N-i-1, cnt+1))%(cnt+1)

def popcount(n):
    c = bin(n).count('1')
    return c

for i in range(N):
    if X[i] == '1':
        pc = cnt - 1
        if pc <= 0:
            print(0)
            continue
        else:
            Y_i = (Y - pow(2, N-i-1, cnt-1))%(cnt-1)
            ans = 1
            while Y_i > 0:
                Y_i = Y_i % popcount(Y_i)
                ans += 1
            print(ans)
    else:
        Z_i = (Z + pow(2, N-i-1, cnt+1))%(cnt+1)
        ans = 1
        while Z_i > 0:
            Z_i = Z_i % popcount(Z_i)
            ans += 1
        print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

#素因数分解O(√n)
def primeFactor(n):
    res = defaultdict(lambda: 0)
    for i in range(2, int(n**0.5)+1):
        while n % i == 0:
            res[i] += 1
            n = n // i
    if n != 1:
        res[n] = 1
    return res

N = int(input())

ans = 0
for i in range(1, N+1):
    d = primeFactor(i)
    if d == {}:
        p = 1
    else:
        p = 1
        for v in d.values():
            p *= (v+1)
    ans += i*p

print(ans)


Fixed submission:
N = int(input())

ans = 0
for i in range(1, N+1):
    p = N // i
    ans += i * (p*(p+1)//2)

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

A = sorted(A, reverse=True)

ans = 0
for i in range(N-1):
    B = A[(i+1):]
    if all(A[i] % B[j] != 0 for j in range(len(B))):
        ans += 1

if A[-1] != A[-2]:
    ans += 1

print(ans)

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

A.sort()
A_max = A[-1]

checked = [False] * (A_max+1)
ans = 0
for i in range(N):
    if i < N-1:
        if A[i] == A[i+1]:
            for j in range(A[i], A_max+1, A[i]):
                checked[j] = True
    if checked[A[i]]:
        pass
    else:
        ans += 1
        for j in range(A[i], A_max+1, A[i]):
            checked[j] = True

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys

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

ans = 1
for num in A:
    ans *= num

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

Fixed submission:
import sys

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

ans = 1
if 0 in A:
    print(0)
    sys.exit()
    
for num in A:
    ans *= num
    if ans > 10 ** 18:
        print(-1)
        sys.exit()
print(ans)