Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
a, b = map(int. input().split(' '))
print(a * b)

Fixed submission:
t, x = map(int, input().split(' '))
print(t / x)
Buggy python submission (verdict: Runtime Error):
n = input()

if n % 2 == 0:
  print(n)
else:
  print(n * 2)

Fixed submission:
n = int(input())

if n % 2 == 0:
  print(n)
else:
  print(n * 2)
Buggy python submission (verdict: Runtime Error):
def solve():
    n,m,k = list(map(int,input().split()))
    arr = list(map(int,input().split()))
    arr1 = list(map(int,input().split()))
    count = 0
    trackLoop = 1
    trackCount = 0
    while trackCount<k:
        if trackCount==k:
            return count+1
        if len(arr)>0 and arr[0]<arr1[0]:
            trackCount+=arr.pop(0)
        else:
            if len(arr1)>0:
                trackCount+=arr1.pop(0)
            else:
                trackCount+=arr.pop(0)
        if trackCount==k:
            return count+1
        trackLoop+=1
        count+=1
        
    return count-1
    
print(solve())

Fixed submission:
def solve():
    n,m,k = list(map(int,input().split()))
    arr = list(map(int, input().split()))
    arr1 = list(map(int, input().split()))
    aTrack = 0
    bTrack = sum(arr1)
    Bn = len(arr1)
    ans = 0
    for An in range(len(arr)+1):
      if An>0:
        aTrack += arr[An-1]
      if aTrack>k:
        break
      while aTrack+bTrack>k:
        Bn -= 1
        bTrack -= arr1[Bn]
      ans = max(ans, An+Bn)
    print(ans)
    
            
solve()

Buggy python submission (verdict: Runtime Error):
def solve():
    n,m,k = list(map(int,input().split()))
    arr = list(map(int,input().split()))
    arr1 = list(map(int,input().split()))
    count = 0
    trackLoop = 1
    trackCount = 0
    while trackCount<k:
        if trackCount==k:
            return count+1
        if len(arr)>0 and arr[0]<arr1[0]:
            trackCount+=arr.pop(0)
        else:
            if len(arr1)>0:
                trackCount+=arr1.pop(0)
            else:
                trackCount+=arr.pop(0)
        if trackCount==k:
            return count+1
        trackLoop+=1
        count+=1
        
    return count-1
    
print(solve())

Fixed submission:
def solve():
    n,m,k = list(map(int,input().split()))
    arr = list(map(int, input().split()))
    arr1 = list(map(int, input().split()))
    aTrack = 0
    bTrack = sum(arr1)
    Bn = len(arr1)
    ans = 0
    for An in range(len(arr)+1):
      if An>0:
        aTrack += arr[An-1]
      if aTrack>k:
        break
      while aTrack+bTrack>k:
        Bn -= 1
        bTrack -= arr1[Bn]
      ans = max(ans, An+Bn)
    print(ans)
    
            
solve()
Buggy python submission (verdict: Time Limit Exceeded):
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
mod = 10**9 + 7
ans = 0

for i in range(N):
    for j in range(i + 1, N):
        ans += (A[i] % mod) * (A[j] % mod)
        ans %= mod
        
print(ans)

Fixed submission:
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
mod = 10**9 + 7
sm = sum(A) - A[0]
ans = 0

for i in range(N - 1):
    ans += A[i] * sm
    ans %= mod
    sm -= A[i + 1]
    
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
mod = 10**9 + 7
ans = 0

for i in range(N):
    for j in range(i + 1, N):
        ans += A[i] * A[j]
        ans %= mod
        
print(ans)

Fixed submission:
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
mod = 10**9 + 7
sm = sum(A) - A[0]
ans = 0

for i in range(N - 1):
    ans += A[i] * sm
    ans %= mod
    sm -= A[i + 1]
    
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N, K = MI()
A = LI()
score = 1

for i in range(K):
    score *= A[i]

idx = 0
for i in range(K, N):
    tmp = score
    score = score * A[i] // A[idx]
    print("Yes" if score > tmp else "No")
    idx += 1

Fixed submission:
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N, K = MI()
A = LI()

idx = 0
for i in range(K, N):
    print("Yes" if A[i] > A[idx] else "No")
    idx += 1
Buggy python submission (verdict: Runtime Error):
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
ans = 1000
purchase = 0

for i in range(1, N):
    tmp = ans
    
    if A[i] > A[i - 1]:
        for j in range(10);
            if tmp - A[i - 1] < 0:
                break
            tmp -= A[i - 1]
            purchase += 1
        ans = max(ans, tmp + A[i] * purchase)
        purchase = 0

print(ans)

Fixed submission:
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
ans = 1000

for i in range(1, N):
    tmp = ans
    if A[i] > A[i - 1]:
        purchase = tmp // A[i - 1]
        ans = max(ans, tmp + (A[i] - A[i - 1]) * purchase)
        
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
ans = 1000
purchase = 0

for i in range(1, N):
    tmp = ans
    
    if A[i] > A[i - 1]:
        while True:
            if tmp - A[i - 1] < 0:
                break
            tmp -= A[i - 1]
            purchase += 1
        ans = max(ans, tmp + A[i] * purchase)
        purchase = 0

print(ans)

Fixed submission:
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
ans = 1000

for i in range(1, N):
    tmp = ans
    if A[i] > A[i - 1]:
        purchase = tmp // A[i - 1]
        ans = max(ans, tmp + (A[i] - A[i - 1]) * purchase)
        
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
ans = 1000

for i in range(1, N):
    purchase = 0
    tmp = ans
    
    if A[i] > A[i - 1]:
        while 1:
            if tmp - A[i - 1] < 0:
                break
            tmp -= A[i - 1]
            purchase += 1
        ans = max(ans, tmp + A[i] * purchase)
        
        
print(ans)

Fixed submission:
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N = INT()
A = LI()
ans = 1000

for i in range(1, N):
    tmp = ans
    if A[i] > A[i - 1]:
        purchase = tmp // A[i - 1]
        ans = max(ans, tmp + (A[i] - A[i - 1]) * purchase)
        
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

# N = int(input())
# group = 0
# tmp = 0

# while tmp < N: 
#     tmp += 26**group
#     group += 1
    
# print(group)

from collections import Counter

N = int(input())
A = LI()
Q = int(input())
A_c = Counter(A)

for _ in range(Q):
    B, C = MI()
    tmp = A_c[B]
    A_c[B] = 0
    
    if B in A_c.keys():
        A_c[C] += tmp
    else:
        A_c[C] = tmp
    
    ans = 0
    
    
    for k, v in A_c.items():
        ans += k * v

    print(ans)

Fixed submission:
def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

# N = int(input())
# group = 0
# tmp = 0

# while tmp < N: 
#     tmp += 26**group
#     group += 1
    
# print(group)

from collections import Counter

N = int(input())
A = LI()
ans = sum(A)
Q = int(input())
A_c = Counter(A)

for _ in range(Q):
    B, C = MI()
    tmp_B = A_c[B]
    tmp_C = A_c[C]
    A_c[B] = 0
    
    if B in A_c.keys():
        A_c[C] += tmp_B
    else:
        A_c[C] = tmp_B
    
    ans = ans - B * tmp_B + C * (A_c[C] - tmp_C)
    print(ans)
Buggy python submission (verdict: Runtime Error):
A, V = map(int, input().split())
B, W = map(int, input().split())
T = int(input())

if A <= B
    print("YES" if A + V * T >= B + W * T else "NO")
else:
    print("YES" if A - V * T >= B - W * T else "NO")

Fixed submission:
A, V = map(int, input().split())
B, W = map(int, input().split())
T = int(input())

if A <= B:
    print("YES" if A + V * T >= B + W * T else "NO")
else:
    print("YES" if A - V * T <= B - W * T else "NO")

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

ans = (A - B) / (W - V)

print("YES" if ans <= T else "NO")

Fixed submission:
A, V = map(int, input().split())
B, W = map(int, input().split())
T = int(input())

if A <= B:
    print("YES" if A + V * T >= B + W * T else "NO")
else:
    print("YES" if A - V * T <= B - W * T else "NO")
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
A = list(map(int, input().split()))
A = A + [0]

if K >= N - 1:
    ans = [N] * N
    print(*ans)

else:
    for i in range(K):
        tmp = [0] * (N + 1)
        for j in range(N):
            
            end_l = max(j - A[j], 0)
            end_r = min(j + A[j] + 1, N)
            tmp[end_l] += 1
            tmp[end_r] -= 1

        for j in range(1, N):
            tmp[j] += tmp[j - 1]
            A[j] = tmp[j]
        A[0] = tmp[0]

    print(*A[:N])

Fixed submission:
N, K = map(int, input().split())
A = list(map(int, input().split()))
A = A + [0]

if K >= N - 1:
    ans = [N] * N
    print(*ans)

else:
    for i in range(K):
        tmp = [0] * (N + 1)
        
        for j in range(N):
            end_l = max(j - A[j], 0)
            end_r = min(j + A[j] + 1, N)
            
            tmp[end_l] += 1
            tmp[end_r] -= 1
        
        flg = tmp[0]
        
        for j in range(1, N):
            tmp[j] += tmp[j - 1]
            flg += tmp[0]
            A[j] = tmp[j]
        
        A[0] = tmp[0]
        
        if flg == N**2:
            break
            
    print(*A[:N])
Buggy python submission (verdict: Runtime Error):
import sys
input()
A = list(map(int, input().split()))
ans = 1

if 0 in A:
    print(0)
    sys.exit()

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

Fixed submission:
import sys
input()
A = list(map(int, input().split()))
ans = 1

if 0 in A:
    print(0)
    sys.exit()

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

Buggy python submission (verdict: Runtime Error):
import sys
input()
A = list(map(int, input().split()))
ans = 1

if 0 in A:
    print(0)
    sys.exit()

else
    for a in map(int, input().split()):
        ans *= a
        if ans > 10**18
        print(-1)
        sys.exit()
    print(ans)

Fixed submission:
import sys
input()
A = list(map(int, input().split()))
ans = 1

if 0 in A:
    print(0)
    sys.exit()

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

Buggy python submission (verdict: Time Limit Exceeded):
input()
ans = 1

for a in map(int, input().split()):
    ans *= a

print(ans if ans <= 10**18 else -1)

Fixed submission:
import sys
input()
A = list(map(int, input().split()))
ans = 1

if 0 in A:
    print(0)
    sys.exit()

else:
    for a in A:
        ans *= a
        if ans > 10**18:
            print(-1)
            sys.exit()
    print(ans)
Buggy python submission (verdict: Runtime Error):
from decimal import *
A, B = input().split()
A = Decimal(A)
B = Decimal(B * 100)
print(A * B // 100)

Fixed submission:
from decimal import *
A, B = input().split()
A = Decimal(A)
B = Decimal(B)
print(int(A * B))
Buggy python submission (verdict: Time Limit Exceeded):
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

from math import sqrt

N = INT()
tmp = N
fact = {}
is_prime = True

for n in range(2, int(sqrt(N)) + 1):
    if tmp == 1:
        break
    
    e = 0
    while 1:
        if tmp % n != 0:
            break
        tmp //= n
        e += 1
    
    if e == 0:
        continue

    fact[n] = e

if tmp != 1:
    
    fact[tmp] = 1

if fact == {}:
    fact[N] = 1

ans = 0

for p in fact.keys():
    e = 1
    z = p**e
    
    while 1:
        if N % z != 0:
            break
        N //= z
        e += 1
        z = pow(p, e)
        ans += 1
        
    if N == 1:
        break

print(ans)

Fixed submission:
from collections import Counter
import math

def div(n):
    prime = []
    tmp = int(math.sqrt(n)) + 1
    
    for num in range(2,tmp):
        while n % num == 0:
            n //= num
            prime.append(num)
    
    if n != 1:
        prime.append(n)
    return prime

n = int(input())
prime_div = Counter(div(n))
ans = 0

for p, ex in prime_div.items():
    k = 1
    while ex >= k:
        ex -= k
        ans += 1
        k += 1

print(ans)

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

def div(n):
    if n == 1:
        return []
    prime = []
    tmp = int(math.sqrt(n)) + 1
    
    for num in range(2,tmp):
        while n % num == 0:
            n //= num
            prime.append(num)
    
    if len(prime) == 0:
        return [1]
    else:
        return prime

n = int(input())
prime_div = dict(Counter(div(n)))
ans = 0
divs = list(prime_div.values())

for i in range(len(divs)):
    k = 0
    for j in range(1, 10):
        k += j
        if k > divs[i]:
            tmp = divs[i] - k + j
            break
        ans += 1

theta = 0
for i in range(1, 10):
    theta += i 
    if theta >= tmp:
        break
    ans += 1

print(ans)

Fixed submission:
from collections import Counter
import math

def div(n):
    prime = []
    tmp = int(math.sqrt(n)) + 1
    
    for num in range(2,tmp):
        while n % num == 0:
            n //= num
            prime.append(num)
    
    if n != 1:
        prime.append(n)
    return prime

n = int(input())
prime_div = Counter(div(n))
ans = 0

for p, ex in prime_div.items():
    k = 1
    while ex >= k:
        ex -= k
        ans += 1
        k += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

N, M = MI()
room = [[] for _ in range(N)]

for _ in range(M):
    A, B = MI()
    room[A - 1].append(B - 1)
    room[B - 1].append(A - 1)

print(room)
print("Yes")

def bfs(G, start, step = 0):
    global visited
    visited[start] = True 
    
    for g in G[start]:
        if g == 0:
            print(step + 1)
            
        elif not visited[g]:
            bfs(G, g, step + 1)

for i in range(1, N):
    visited = [False] * N
    bfs(room, i)

Fixed submission:
import sys
from collections import deque

N, M = map(int, input().split())
G = [[] for _ in range(N)]
goal = False

for _ in range(M):
    A, B = map(int, input().split())
    G[A - 1].append(B - 1)
    G[B - 1].append(A - 1)
    if A == 1 or B == 1:
        goal = True

if goal:
    print("Yes")
else:
    print("No")
    sys.exit()

d = deque([0])
ans = [-1] * N

while d:
     q = d.popleft()
     for g in G[q]:
         if ans[g] == -1:
             ans[g] = q + 1
             d.append(g)

for i in range(1, N):
    print(ans[i])
Buggy python submission (verdict: Runtime Error):
A, B, C, K = map(int, input().split())
point = [1] * A + [0] * B + [-1] * C

print(sum(point[:K]))

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

if K < A:
    print(K)

elif A <=  K <= A + B:
    print(A)

else:
    print(A - (K - A - B))
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
def main():
    S = input()
    s = 0
    S_sum = deque([0])
    for i in range(len(S)):
        S_sum.append(s + int(S[len(S) - i - 1]) * 10**i)
        s += int(S[len(S) - i - 1]) * 10**i

    ans = 0
    for i in range(len(S_sum) - 1):
        for j in range(i + 4, len(S_sum)):
            if ((S_sum[j] - S_sum[i]) // 10**i) % 2019 == 0:
                ans += 1

    print(ans)

if __name__ == "__main__":
    main()

Fixed submission:
S = input()
mod = 2019
count = [0] * 2019
count[0] = 1
tmp = 0
d = 1

for s in S[::-1]:
    tmp += int(s) * d
    count[tmp % mod] += 1
    d *= 10
    d %= mod

ans = 0

for c in count:
    ans += c * (c - 1) // 2
        
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
S = input()
s = 0
S_sum = deque([0])
for i in range(len(S)):
    S_sum.append(s + int(S[len(S) - i - 1]) * 10**i)
    s += int(S[len(S) - i - 1]) * 10**i

ans = 0
for i in range(len(S_sum) - 1):
    for j in range(i + 4, len(S_sum)):
        if ((S_sum[j] - S_sum[i]) // 10**i) % 2019 == 0:
            ans += 1

print(ans)

Fixed submission:
S = input()
mod = 2019
count = [0] * 2019
count[0] = 1
tmp = 0
d = 1

for s in S[::-1]:
    tmp += int(s) * d
    count[tmp % mod] += 1
    d *= 10
    d %= mod

ans = 0

for c in count:
    ans += c * (c - 1) // 2
        
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
ans = 0

for i in range(len(S) - 3):
    for j in range(i + 4, len(S) + 1):
        if int(S[i:j]) % 2019 == 0:
            ans += 1

print(ans)

Fixed submission:
S = input()
mod = 2019
count = [0] * 2019
count[0] = 1
tmp = 0
d = 1

for s in S[::-1]:
    tmp += int(s) * d
    count[tmp % mod] += 1
    d *= 10
    d %= mod

ans = 0

for c in count:
    ans += c * (c - 1) // 2
        
print(ans)
Buggy python submission (verdict: Runtime Error):
def main():
    from collections import deque
    from functools import reduce
    from math import gcd

    def gcd3(*numbers):
        return reduce(gcd, numbers)

    K = int(input())
    ans = 0

    for _ in range(1, K + 1):
        for _ in range(1, K + 1):
            for _ in range(1, K + 1):
                ans += gcd3(_, b, c)
    print(ans)

if __name__ == "__main__":
    main()

Fixed submission:
from collections import deque
from functools import reduce
from math import gcd

def gcd3(*numbers):
    return reduce(gcd, numbers)

K = int(input())
ans = 0

for _ in range(1, K + 1):
    for b in range(1, K + 1):
        for c in range(1, K + 1):
            ans += gcd3(_, b, c)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
from collections import Counter
from math import factorial

input = sys.stdin.readline

def conbi(n, r = 2):
    if n - r < 0:
        return 0
    return int(factorial(n) / (factorial(n - r) * factorial(r)))

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

for _ in A:
    ans = 0
    for cnt in A_cnt.keys():
        if A_cnt[cnt] == 1:
            continue
        else:
            if cnt == _:
                n = A_cnt[cnt] - 1
                ans += conbi(n)
            else:
                ans += conbi(A_cnt[cnt])
    print(ans)

Fixed submission:
from collections import Counter

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

def comb2(n):
    return n * (n - 1) // 2

cnt = Counter(A)
ans = 0

for c in cnt.values():
    if c >= 2:
        ans += comb2(c)

for i in range(N):
    print(ans - cnt[A[i]] + 1)

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

def conbi(n, r = 2):
    if n - r < 0:
        return 0
    return int(factorial(n) / (factorial(n - r) * factorial(r)))

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

for a in A:
    ans = 0
    for cnt in A_cnt.keys():
        if A_cnt[cnt] == 1:
            continue
        else:
            if cnt == a:
                n = A_cnt[cnt] - 1
                ans += conbi(n)
            else:
                ans += conbi(A_cnt[cnt])
    print(ans)

Fixed submission:
from collections import Counter

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

def comb2(n):
    return n * (n - 1) // 2

cnt = Counter(A)
ans = 0

for c in cnt.values():
    if c >= 2:
        ans += comb2(c)

for i in range(N):
    print(ans - cnt[A[i]] + 1)
Buggy python submission (verdict: Runtime Error):
from collections import Counter
N, A, B = map(int, input().split())
ans = ''
while len(ans) < N:
    ans += 'b' * A + 'r' * B
ans = list(ans)
ans = ans[:N]
ans = dict(Counter(ans))
ans = list(ans.values())
print(ans[0])

Fixed submission:
N, A, B = map(int, input().split())
if N % (A + B) <= A:
    ans = (N // (A + B)) * A + N % (A + B)
    print(ans)
else:
    ans = (N // (A + B)) * A + A
    print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
if N % 2 == 0:
    print(int(N / 2))
else:
    print(int((N - 1) / 2 + 1)))

Fixed submission:
N = int(input())
if N % 2 == 0:
    print(int(N / 2))
else:
    print(int((N - 1) / 2 + 1))

Buggy python submission (verdict: Runtime Error):
N = int(input())
if N % 2 == 0:
    print(int(N / 2))
else:
    print(int((N - 1) / 2 + 1)

Fixed submission:
N = int(input())
if N % 2 == 0:
    print(int(N / 2))
else:
    print(int((N - 1) / 2 + 1))
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
sc = [list(map(int, input().split())) for i in range(M)]
s = [sc[i][0] for i in range(M)]
c = [sc[j][1] for j in range(M)]
box = [0] * M
ans = str()
for m in range(M):
    box[s[m] - 1] = c[m]

for k in box:
    ans += str(k)

if box[0] != 0:
    print(int(ans))
else:
    print(-1)

Fixed submission:
def INT():
    return int(input())

def MI():
    return map(int, input().split())

def LI():
    return list(map(int, input().split()))

import sys

N, M = MI()
ans = ""
num = [[] for _ in range(N)]

for _ in range(M):
    s, c = MI()
    num[s - 1].append(str(c))

    if (N != 1 and (s, c) == (1, 0)) or len(set(num[s - 1])) != 1:
        print(-1)
        sys.exit()

if num[0] == []:
    ans += str(int(N != 1))
else:
    ans += num[0][0]

for n in num[1:]:
    if n == []:
        ans += "0"
        continue
        
    ans += n[0]

print(ans)