Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = sorted(map(int, input().split()))
if A[0] == 1:
    print(1)
else:
    ans = 0
    MAX = 1000001
    C = [False] * MAX
    for i in range(N):
        if not C[A[i]]:
            if i != N - 1 and A[i] != A[i + 1]:
                ans += 1
            elif i == N - 1:
                ans += 1
            cur = 1
            while cur * A[i] <= MAX:
                C[cur * A[i]] = True
                cur += 1
    print(ans)

Fixed submission:
N = int(input())
A = sorted(map(int, input().split()))
if A[0] == 1:
    if N > 1 and A[1] == 1:
        print(0)
    else:
        print(1)
else:
    ans = 0
    MAX = 10 ** 6 + 3
    C = [False] * MAX
    for i in range(N):
        if not C[A[i]]:
            if i != N - 1 and A[i] != A[i + 1]:
                ans += 1
            elif i == N - 1:
                ans += 1
            cur = 1
            while cur * A[i] <= MAX:
                C[cur * A[i]] = True
                cur += 1
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
ans = 0

def gcd(nums):
    while True:
        gcd = 30000
        min_idx = -1
        c = 0
        for i in range(3):
            if 0 < nums[i] < gcd:
                gcd = nums[i]
                min_idx = i
        for i in range(3):
            nums[i] %= gcd
            if nums[i] > 0: c += 1
        if c == 0:
            return gcd
        else:
            nums[min_idx] = gcd

for i in range(1, K + 1):
    for j in range(1, K + 1):
        for k in range(1, K + 1):
            ans += gcd([i, j, k])

print(ans)

Fixed submission:
K = int(input())
ans = 0

def gcd(x, y):
    if x < y: x, y = y, x
    while y:
        n = x%y
        x = y
        y = n
    return x
    
for i in range(1, K + 1):
    for j in range(1, K + 1):
        for k in range(1, K + 1):
            ret = gcd(i, j)
            ans += gcd(ret, k)

print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

X, Y, A, B, C = map(int, input().split())
p = sorted(map(int, input().split()), reverse=True)
q = sorted(map(int, input().split()), reverse=True)
r = sorted(map(int, input().split()), reverse=True)

pq = p[:X] + q[:Y]
if len(pq) < X + Y:
    pq += [0] * (X + Y - len(pq))
pq.sort()
for i in range(min(C, A + B)):
    if pq[i] < r[i]:
        pq[i] = r[i]
print(sum(pq))

Fixed submission:
import sys
input = sys.stdin.readline

X, Y, A, B, C = map(int, input().split())
p = sorted(map(int, input().split()), reverse=True)
q = sorted(map(int, input().split()), reverse=True)
r = sorted(map(int, input().split()), reverse=True)

pq = p[:X] + q[:Y]
if len(pq) < X + Y:
    pq += [0] * (X + Y - len(pq))
pq.sort()
for i in range(min(C, len(pq))):
    if pq[i] < r[i]:
        pq[i] = r[i]
print(sum(pq))

Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

X, Y, A, B, C = map(int, input().split())
p = sorted(map(int, input().split()), reverse=True)
q = sorted(map(int, input().split()), reverse=True)
r = sorted(map(int, input().split()), reverse=True)

pq = p[:X] + q[:Y]
pq.sort()
for i in range(min(C, A + B)):
    if pq[i] < r[i]:
        pq[i] = r[i]
print(sum(pq))

Fixed submission:
import sys
input = sys.stdin.readline

X, Y, A, B, C = map(int, input().split())
p = sorted(map(int, input().split()), reverse=True)
q = sorted(map(int, input().split()), reverse=True)
r = sorted(map(int, input().split()), reverse=True)

pq = p[:X] + q[:Y]
if len(pq) < X + Y:
    pq += [0] * (X + Y - len(pq))
pq.sort()
for i in range(min(C, len(pq))):
    if pq[i] < r[i]:
        pq[i] = r[i]
print(sum(pq))
Buggy python submission (verdict: Time Limit Exceeded):
import math

N = int(input())

count = 0
for n in range(1, N + 1):
    sqrt_n = int(math.sqrt(n))
    for i in range(1, sqrt_n):
        for p in range(1, sqrt_n):
            for q in range(1, sqrt_n):
                if i ** 2 + p ** 2 + q ** 2 + i * p + p * q + i * q > n:
                    break
                elif i ** 2 + p ** 2 + q ** 2 + i * p + p * q + i * q == n:
                    count += 1
    print(count)
    count = 0

Fixed submission:
import math

N = int(input())

NList = [0 for i in range(N)]
count = 0
tmp = 0

sqrt_n = int(math.sqrt(N))

for i in range(1, sqrt_n):
    for p in range(1, sqrt_n):
        for q in range(1, sqrt_n):
            if i ** 2 + p ** 2 + q ** 2 + i * p + p * q + i * q > N:
                break
            else:
                NList[i ** 2 + p ** 2 + q ** 2 + i * p + p * q + i * q - 1] += 1
                
for n_count in NList:
    print(n_count)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
AList = list(map(int, input().split()))
RList = []

tmp = 0
for p in range(len(AList)):
    tmp = 0
    for q in range(len(AList)):
        if p == q:
            continue
        else:
            tmp = tmp ^ AList[q]
    
    RList.append(tmp)
    

for i in range(len(RList)):
    print(RList[i], end=' ')


Fixed submission:
N = int(input())
AList = list(map(int, input().split()))
RList = []
tmp = 0
tmppoint = 0
for i in range(1, len(AList)):
    tmp = tmp ^ AList[i]

RList.append(tmp)
for p in range(1, len(AList)):
    tmp = tmp ^ AList[tmppoint]
    tmp = tmp ^ AList[p]
    tmppoint = p
    
    RList.append(tmp)

for i in range(len(RList)):
    print(RList[i], end=' ')
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

N = int(input())

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

AList.sort()

dp = [0] *  (AList[-1] + 1)

for i in AList:
    dp[i] += 1
    
    if dp[i] == 1:
        for p in range(2 * i, len(dp), i):
            dp[j] += 2

print(dp.count(1))

Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())

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

AList.sort()

dp = [0] *  (AList[-1] + 1)

for i in AList:
    dp[i] += 1
    
    if dp[i] == 1:
        for p in range(2 * i, len(dp), i):
            dp[p] += 2

print(dp.count(1))

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

N = int(input())

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

AList.sort()

ResultList = []
PrimeList = []

tmp = 0

if N > 1:
    if AList[0] != AList[1]:
        ResultList.append(AList[0])
else:
    ResultList.append(AList[0])
PrimeList.append(AList[0])


for p in range(1, N - 1):
    tmp = 0
    if AList[p - 1] != AList[p] and AList[p] != AList[p + 1]:
        for q in PrimeList:
            if AList[p] % q == 0:
                tmp = 1
                break
        if tmp == 0:
            ResultList.append(AList[p])
            PrimeList.append(AList[p])
    else:
        PrimeList.append(AList[p])

tmp = 0
if N > 1:
    if AList[N - 2] != AList[N - 1]:
        for q in PrimeList:
            if AList[N - 1] % q == 0:
                tmp = 1
                break
        if tmp == 0:
            ResultList.append(AList[N - 1])

print(len(ResultList))

Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())

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

AList.sort()

dp = [0] *  (AList[-1] + 1)

for i in AList:
    dp[i] += 1
    
    if dp[i] == 1:
        for p in range(2 * i, len(dp), i):
            dp[p] += 2

print(dp.count(1))
Buggy python submission (verdict: Runtime Error):
import sys

N = int(input())

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

NList.sort()
result = 1
for i in range(N):
    result *= NList[i]

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

if result > 10 ** 18:
    print('-1')
    sys.exit(1)
else:
    print(result)

Fixed submission:
N = int(input())

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

NList.sort()
result = 1
for i in range(N):
    result *= NList[i]

    if result > 10 ** 18:
        break

if result > 10 ** 18:
    print('-1')
else:
    print(result)

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

N = int(input())

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

result = 1
for i in range(N):
    result *= NList[i]
    
    if result > 10 ** 18:
        print('-1')
        sys.exit(1)

if result > 10 ** 18:
    print('-1')
    sys.exit(1)
else:
    print(result)

Fixed submission:
N = int(input())

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

NList.sort()
result = 1
for i in range(N):
    result *= NList[i]

    if result > 10 ** 18:
        break

if result > 10 ** 18:
    print('-1')
else:
    print(result)

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

N = int(input())

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

result = 1
for i in range(N):
    result *= NList[i]
    
    if result > 10 ** 18:
        print('-1')
        sys.exit(1)

if result > 10 ** 18:
        print('-1')
        sys.exit(1)
else:
    print(result)

Fixed submission:
N = int(input())

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

NList.sort()
result = 1
for i in range(N):
    result *= NList[i]

    if result > 10 ** 18:
        break

if result > 10 ** 18:
    print('-1')
else:
    print(result)

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

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

result = 1
for i in range(N):
    result *= NList[i]

if result > 10 ** 18:
    print('-1')
else:
    print(result)

Fixed submission:
N = int(input())

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

NList.sort()
result = 1
for i in range(N):
    result *= NList[i]

    if result > 10 ** 18:
        break

if result > 10 ** 18:
    print('-1')
else:
    print(result)

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

result = 1
for i in range(N):
    result *= int(input())

if result > 10 ** 18:
    print('-1')
else:
    print(result)

Fixed submission:
N = int(input())

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

NList.sort()
result = 1
for i in range(N):
    result *= NList[i]

    if result > 10 ** 18:
        break

if result > 10 ** 18:
    print('-1')
else:
    print(result)
Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())

print(int(A * B))

Fixed submission:
import math
from decimal import Decimal


A, B = input().split()

A = Decimal(A)
B = Decimal(B)

result = Decimal(A * B)

print(math.floor(result))
Buggy python submission (verdict: Time Limit Exceeded):
def fanctionA(n):
    AList = []
    BList = []
    tmp = 2
    
    while n > 1:
        if n % tmp == 0:
            if AList.count(tmp) == 0:
                AList.append(tmp)
                BList.append(1)
            else:
                BList[AList.index(tmp)] += 1
            n /= tmp
            tmp = 2
        else:
            tmp += 1
 
    
    return BList
  
    
N = int(input())
 
arr = fanctionA(N)
 
tmp = 1
count = 0
for a in arr:
    while 'true':
        if a >= tmp:
            a -= tmp
            count += 1
            tmp += 1
        else:
            tmp = 1
            break
 
print(count)

Fixed submission:
def fanction(n):
    listIn = []
    tmp = n
    for i in range(2, int(-(-n ** 0.5 // 1)) + 1):
        if tmp % i == 0:
            cnt_in = 0
            while tmp % i ==0:
                cnt_in += 1
                tmp //= i
            listIn.append([i, cnt_in])

    if tmp != 1:
        listIn.append([tmp, 1])

    if listIn == []:
        listIn.append([n, 1])

    return listIn

N = int(input())

arr = fanction(N)

tmp = 1
count = 0
for a, b in arr:
    if a <= 1:
        continue
    while 'true':
        if b >= tmp:
            b -= tmp
            count += 1
            tmp += 1
        else:
            tmp = 1
            break

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
def fanctionA(n):
    AList = []
    BList = []
    tmp = 2
    
    while n > 1:
        if n % tmp == 0:
            if AList.count(tmp) == 0:
                AList.append(tmp)
                BList.append(1)
            else:
                BList[AList.index(tmp)] += 1
            n /= tmp
            tmp = 2
        else:
            tmp += 1

    
    return BList
  
    
N = int(input())

arr = fanctionA(N)

tmp = 1
count = 0
for a in arr:
    while 'true':
        if a >= tmp:
            a -= tmp
            count += 1
            tmp += 1
        else:
            tmp = 1
            break

print(count)

Fixed submission:
def fanction(n):
    listIn = []
    tmp = n
    for i in range(2, int(-(-n ** 0.5 // 1)) + 1):
        if tmp % i == 0:
            cnt_in = 0
            while tmp % i ==0:
                cnt_in += 1
                tmp //= i
            listIn.append([i, cnt_in])

    if tmp != 1:
        listIn.append([tmp, 1])

    if listIn == []:
        listIn.append([n, 1])

    return listIn

N = int(input())

arr = fanction(N)

tmp = 1
count = 0
for a, b in arr:
    if a <= 1:
        continue
    while 'true':
        if b >= tmp:
            b -= tmp
            count += 1
            tmp += 1
        else:
            tmp = 1
            break

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

if B > N:
    result = int(A * N / B) - A * int(N / B)
    
else:
    tmp = 0
    result = 0
    for i in range(B - 1, N, B):
        tmp = int(A * i / B) - A * int(i / B)
        if result < tmp:
            result = tmp

print(result)

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


if B > N:
    result = int(A * N / B) - A * int(N / B)
    
else:
    result = int(A * (B - 1) / B) - A * int((B - 1) / B)
    
print(result)
Buggy python submission (verdict: Time Limit Exceeded):
import math

from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

def gcd_list(numbers):
    return reduce(math.gcd, numbers)


K = int(input())

result = 0
for i in range(1, K + 1):
    for p in range(1, K + 1):
        for q in range(1, K + 1):
            result += gcd(i, p, q)
            
print(result)

Fixed submission:
import math

from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

def gcd_list(numbers):
    return reduce(math.gcd, numbers)


K = int(input())

result = 0
for i in range(1, K + 1):
    for p in range(1, K + 1):
        for q in range(1, K + 1):
            result += gcd(i, p, q)
            
print(result)
Buggy python submission (verdict: Runtime Error):
from scipy.special import comb


N, M = map(int, input().split())
result = 0
if N >= 2:
    result += comb(N, 2)
if M >= 2:
    result += comb(M, 2)
print(int(result))

Fixed submission:
from operator import mul
from functools import reduce
def combinations(n, r):
    r = min(r, n - r)
    numer = reduce(mul, range(n, n - r, -1), 1)
    denom = reduce(mul, range(1, r + 1), 1)
    return numer // denom


N, M = map(int, input().split())
result = 0
if N >= 2:
    result += combinations(N, 2)
if M >= 2:
    result += combinations(M, 2)
print(int(result))
Buggy python submission (verdict: Time Limit Exceeded):
N, A, B = map(int, input().split())
if A == 0:
    print('0')
elif B == 0:
    print(N)
else:
    result = 0
    while N > A:
        N -= A
        result += A
        N -= B
    if N > 0:
        print(result + N)
    else:
        print(result)

Fixed submission:
N, A, B = map(int, input().split())
if A == 0:
    print('0')
elif B == 0:
    print(N)
else:
    tmp = N // (A + B)
    result = tmp * A
    N -= tmp * (A + B)
    if N > A:
        result += A
    else:
        result += N
    print(result)

Buggy python submission (verdict: Time Limit Exceeded):
N, A, B = map(int, input().split())
if A == 0:
    print('0')
elif B == 0:
    print(N)
else:
    result = 0
    while N > 0:
        if N - A > 0:
            result += A
        else:
            result += N
        N -= (A + B)
    print(result)

Fixed submission:
N, A, B = map(int, input().split())
if A == 0:
    print('0')
elif B == 0:
    print(N)
else:
    tmp = N // (A + B)
    result = tmp * A
    N -= tmp * (A + B)
    if N > A:
        result += A
    else:
        result += N
    print(result)

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

if B == 0:
    print(N)
else:
    result = 0
    while N > 0:
        if N - A > 0:
            result += A
        else:
            result += N
        N -= A
        N -= B
print(result)

Fixed submission:
N, A, B = map(int, input().split())
if A == 0:
    print('0')
elif B == 0:
    print(N)
else:
    tmp = N // (A + B)
    result = tmp * A
    N -= tmp * (A + B)
    if N > A:
        result += A
    else:
        result += N
    print(result)
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())

if N == M:
    print('Yes')
else:
    printf('No')

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

if N == M:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce


def MinB(x, y):
    return (x * y) // math.gcd(x, y)

def MinB_list(numbers):
    return reduce(MinB, numbers, 1)

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

tmp = MinB_list(AList)
result = 0
for i in range(0, N):
    result += tmp // AList[i]
    
print(result % (10 ** 9 + 7))

Fixed submission:
import fractions
from functools import reduce


def MinB(x, y):
    return (x * y) // fractions.gcd(x, y)

def MinB_list(numbers):
    return reduce(MinB, numbers, 1)

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

tmp = MinB_list(AList)
result = 0
for i in range(0, N):
    result += tmp // AList[i]
    
print(result % (10 ** 9 + 7))
Buggy python submission (verdict: Runtime Error):
import math
 
A, B = map(int, input().split())

print((A * B) // math.gcd(A, B))

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

print((A * B) // fractions.gcd(A, B))
Buggy python submission (verdict: Time Limit Exceeded):
mod = 10 ** 9 + 7

N = int(input())

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


result = 0
Zcount = 0
Bit0 = 0
Bit1 = 0
while Zcount < 60:
    for i in range(0, len(A)):
        if A[i] % 2 == 0:
            Bit0 += 1
            A[i] //= 2
        else:
            Bit1 += 1
            A[i] //= 2
    result += (2 ** Zcount) * (Bit0 * Bit1)
    Zcount += 1
    Bit0 = 0
    Bit1 = 0
print(result % mod)

Fixed submission:
import numpy as np

mod = 10 ** 9 + 7

N = int(input())
 
AList = np.array(input().split(), dtype=np.int64)
count = 0
for i in range(60):
    Plus = np.count_nonzero(AList >> i & 1)
    count += 2 ** i * (Plus * (N - Plus))
print(count % mod)

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

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

count = 0
for i in range(0, N):
    for q in range(i, N):
        count += int(AList[i] ^ AList[q])
print(count % (10 ** 9 + 7))

Fixed submission:
import numpy as np

mod = 10 ** 9 + 7

N = int(input())
 
AList = np.array(input().split(), dtype=np.int64)
count = 0
for i in range(60):
    Plus = np.count_nonzero(AList >> i & 1)
    count += 2 ** i * (Plus * (N - Plus))
print(count % mod)

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

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

for i in range(0, N):
    for q in range(i, N):
        count += int(AList[i] ^ AList[q])
print(count % (10 ** 9 + 7))

Fixed submission:
import numpy as np

mod = 10 ** 9 + 7

N = int(input())
 
AList = np.array(input().split(), dtype=np.int64)
count = 0
for i in range(60):
    Plus = np.count_nonzero(AList >> i & 1)
    count += 2 ** i * (Plus * (N - Plus))
print(count % mod)

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

A = list(map(int, input().split()))
AList = [bin(i) for i in A]
AList = [int(i, 2) for i in AList]
count = 0
for i in range(0, N):
    for q in range(i, N):
        count += int(bin(AList[i] ^ AList[q]), 2)
print(count % (10 ** 9 + 7))

Fixed submission:
import numpy as np

mod = 10 ** 9 + 7

N = int(input())
 
AList = np.array(input().split(), dtype=np.int64)
count = 0
for i in range(60):
    Plus = np.count_nonzero(AList >> i & 1)
    count += 2 ** i * (Plus * (N - Plus))
print(count % mod)

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

A = list(map(int, input().split()))
AList = [bin(i) for i in A]
AList = [int(i, 2) for i in AList]
count = 0
for i in range(0, N):
    for q in range(i, N):
        count += int(bin(AList[i] ^ AList[q]), 2)
print(count % (10 ** 9 + 7))

Fixed submission:
import numpy as np

mod = 10 ** 9 + 7

N = int(input())
 
AList = np.array(input().split(), dtype=np.int64)
count = 0
for i in range(60):
    Plus = np.count_nonzero(AList >> i & 1)
    count += 2 ** i * (Plus * (N - Plus))
print(count % mod)
Buggy python submission (verdict: Runtime Error):
import numpy as np
import sys
N = int(input())

Abs = int(np.sqrt(N))
if Abs ** 2 == N:
    print((Abs - 1) * 2)
    sys.exit(1)
else:
    min = N + 1
    min_i = 0
    for i in range(1, Abs + 1):
        tmp = N // i
        if tmp * i == N:
            if min > tmp:
                min = tmp
                min_i = i

print(min + min_i - 2)

Fixed submission:
import numpy as np
N = int(input())
Abs = int(np.sqrt(N))
if Abs ** 2 == N:
    print(Abs + Abs - 2)
else:
    min = N + 1
    min_i = 1
    for i in range(1, Abs + 1):
        tmp = N // i
        if tmp * i == N:
            if min > tmp:
                min = tmp
                min_i = i
    print(min + min_i - 2)

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

Abs = int(np.sqrt(N))
if Abs ** 2 == N:
    print((Abs - 1) * 2)
else:
    min = N + 1
    min_i = 0
    for i in range(1, Abs + 1):
        tmp = N // i
        if tmp * i == N:
            if min > tmp:
                min = tmp
                min_i = i

print(min + min_i - 2)

Fixed submission:
import numpy as np
N = int(input())
Abs = int(np.sqrt(N))
if Abs ** 2 == N:
    print(Abs + Abs - 2)
else:
    min = N + 1
    min_i = 1
    for i in range(1, Abs + 1):
        tmp = N // i
        if tmp * i == N:
            if min > tmp:
                min = tmp
                min_i = i
    print(min + min_i - 2)