Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
I = lambda: map(int, input().split())
N, A = I()
x = list(I())
 
from collections import deque
import copy
memo = []
checked = []
q = deque()
q.append([False]*N)
 
while q:
    indexs = q.popleft()
    if indexs in checked:
        continue
    checked.append(indexs)
    sum_x = 0
    for i, bit in enumerate(indexs):
        if bit:
            sum_x += x[i]
 
    if indexs.count(True) > 0 and sum_x / indexs.count(True) - A == 0:
        if indexs not in memo:
            memo.append(indexs)
 
    for i in range(N):
        a = copy.deepcopy(indexs)
        a[i] = not(a[i])
        if a not in checked:
            q.append(a)
 
print(len(memo))

Fixed submission:
N,A=map(int, input().split())
x=list(map(int, input().split()))
dp = [[[0]*(51*51) for _ in range(N+1)] for _ in range(N+1)]
# dp[j][k][s]
for j in range(N+1):
    for k in range(N+1):
        for s in range(51*51):
            if j==0 and k==0 and s==0:
                dp[j][k][s] = 1
            elif j >=1 and s < x[j-1]:
                dp[j][k][s] = dp[j-1][k][s]
            elif j >=1 and k >= 1 and s >= x[j-1]:
                dp[j][k][s] = dp[j-1][k][s]+dp[j-1][k-1][s-x[j-1]]
            else:
                dp[j][k][s] = 0

ans = 0
for i in range(1, N+1):
    ans+= dp[N][i][i*A]
print(ans)

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

from collections import deque
import copy
memo = []
checked = []
q = deque()
q.append([False]*N)

while q:
    indexs = q.popleft()
    if indexs in checked:
        continue
    checked.append(indexs)
    sum_x = 0
    for i, bit in enumerate(indexs):
        if bit:
            sum_x += x[i]

    if indexs.count(True) > 0 and sum_x / indexs.count(True) - A == 0:
        if indexs not in memo:
            memo.append(indexs)

    for i in range(N):
        a = copy.deepcopy(indexs)
        a[i] = not(a[i])
        if a not in checked:
            q.append(a)

print(len(memo))


Fixed submission:
N,A=map(int, input().split())
x=list(map(int, input().split()))
dp = [[[0]*(51*51) for _ in range(N+1)] for _ in range(N+1)]
# dp[j][k][s]
for j in range(N+1):
    for k in range(N+1):
        for s in range(51*51):
            if j==0 and k==0 and s==0:
                dp[j][k][s] = 1
            elif j >=1 and s < x[j-1]:
                dp[j][k][s] = dp[j-1][k][s]
            elif j >=1 and k >= 1 and s >= x[j-1]:
                dp[j][k][s] = dp[j-1][k][s]+dp[j-1][k-1][s-x[j-1]]
            else:
                dp[j][k][s] = 0

ans = 0
for i in range(1, N+1):
    ans+= dp[N][i][i*A]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import heapq
n, k = map(int, input().split())
list_A = list(map(int, input().split()))
list_H = []

for a in list_A:
    list_H.append(((-1)*a, a, 1))
heapq.heapify(list_H)

for _ in range(k):
    l = heapq.heappop(list_H)
    c = 0
    if l[1] % (l[2]+1) == 0:
        c = l[1] // (l[2]+1)
    else:
        c = l[1] // (l[2]+1) + 1

    h = ((-1)*c, l[1], l[2]+1)
    heapq.heappush(list_H, h)

ans = heapq.heappop(list_H)
print(abs(ans[0]))

Fixed submission:
n, k = map(int, input().split())
list_A = list(map(int, input().split()))
l, r = 0, max(list_A)

while l + 1 < r:
    m, cnt = (r + l) // 2, 0

    for a in list_A:
        cnt += (a-1)//m

    if cnt > k:
        l = m
    else:
        r = m

print(r)

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
n, k = map(int, input().split())
list_A = list(map(int, input().split()))
list_H = []

for a in list_A:
    heapq.heappush(list_H, ((-1)*a, a, 1))

for _ in range(k):
    l = heapq.heappop(list_H)
    c = 0
    if l[1] % (l[2]+1) == 0:
        c = l[1] // (l[2]+1)
    else:
        c = l[1] // (l[2]+1) + 1

    h = ((-1)*c, l[1], l[2]+1)
    heapq.heappush(list_H, h)

ans = heapq.heappop(list_H)
print(abs(ans[0]))

Fixed submission:
n, k = map(int, input().split())
list_A = list(map(int, input().split()))
l, r = 0, max(list_A)

while l + 1 < r:
    m, cnt = (r + l) // 2, 0

    for a in list_A:
        cnt += (a-1)//m

    if cnt > k:
        l = m
    else:
        r = m

print(r)
Buggy python submission (verdict: Runtime Error):
import numpy as np
x = int(input())
b = 0
ans = []
while True:
    n = x - b**5
    a = int(np.power(n, 1/5))
    if a**5 == n:
       ans.append(a)
       ans.append(-b)
       break
    b += 1

print(*ans)

Fixed submission:
import math
x = int(input())
b = 0
ans = []
while True:
    n = x - b**5
    if n < 0:
        break
    a = int(math.pow(n, 1/5))
    if a**5 == n:
       ans.append(a)
       ans.append(-b)
       break
    b += 1

if len(ans) != 0:
    print(*ans)
else:
    b = 0
    while True:
        n = x + b**5
        a = int(math.pow(n, 1/5))
        if a**5 == n:
           ans.append(a)
           ans.append(b)
           break
        b += 1
    print(*ans)

Buggy python submission (verdict: Runtime Error):
import math
x = int(input())
b = 0
ans = []
while True:
    n = x - b**5
    a = int(math.pow(n, 1/5))
    if a**5 == n:
       ans.append(a)
       ans.append(-b)
       break
    b += 1

print(*ans)

Fixed submission:
import math
x = int(input())
b = 0
ans = []
while True:
    n = x - b**5
    if n < 0:
        break
    a = int(math.pow(n, 1/5))
    if a**5 == n:
       ans.append(a)
       ans.append(-b)
       break
    b += 1

if len(ans) != 0:
    print(*ans)
else:
    b = 0
    while True:
        n = x + b**5
        a = int(math.pow(n, 1/5))
        if a**5 == n:
           ans.append(a)
           ans.append(b)
           break
        b += 1
    print(*ans)

Buggy python submission (verdict: Runtime Error):
x = int(input())
b = 0
ans = []
while True:
    n = x - b**5
    a = int(n ** (1/5))
    if a**5 == n:
       ans.append(a)
       ans.append(-b)
       break
    b += 1

print(*ans)

Fixed submission:
import math
x = int(input())
b = 0
ans = []
while True:
    n = x - b**5
    if n < 0:
        break
    a = int(math.pow(n, 1/5))
    if a**5 == n:
       ans.append(a)
       ans.append(-b)
       break
    b += 1

if len(ans) != 0:
    print(*ans)
else:
    b = 0
    while True:
        n = x + b**5
        a = int(math.pow(n, 1/5))
        if a**5 == n:
           ans.append(a)
           ans.append(b)
           break
        b += 1
    print(*ans)
Buggy python submission (verdict: Time Limit Exceeded):
import math
k = int(input())
ans = 0
for i in range(1, k+1):
    for j in range(1, k + 1):
        for l in range(1, k + 1):
            num = math.gcd(i, j)
            ans += math.gcd(num, l)
print(ans)

Fixed submission:
import math
k = int(input())
ans = 0
list_gcd = [[0]*202 for _ in range(202)]

for i in range(1, 201):
    for j in range(i, 201):
        num = math.gcd(i, j)
        list_gcd[i][j] = num
        list_gcd[j][i] = num

ans = 0
for i in range(1, k+1):
    for j in range(1, k+1):
        for l in range(1, k+1):
            num = list_gcd[i][j]
            ans += list_gcd[num][l]

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
list_S = list(input())
list_R = []
list_B = []
list_G = []
ans = 0
for i, c in enumerate(list_S):
    if c == "R":
        list_R.append(i+1)
    if c == "B":
        list_B.append(i+1)
    if c == "G":
        list_G.append(i+1)
 
for i in list_R:
    for j in list_G:
        for k in list_B:
            l = [i,j,k]
            l.sort()
            if l[1]-l[0] != l[2]-l[1]:
                ans += 1
 
print(ans)

Fixed submission:
n = int(input())
list_S = list(input())
list_R = []
list_B = []
list_G = []
ans = 0
for i, c in enumerate(list_S):
    if c == "R":
        list_R.append(i+1)
    if c == "B":
        list_B.append(i+1)
    if c == "G":
        list_G.append(i+1)
set_R = set(list_R)
set_G = set(list_G)
set_B = set(list_B)
cnt = 0
for i in list_R:
    for j in list_G:
        max_value = max(i, j)
        min_value = min(i, j)
        d = (max_value - min_value)
        if d % 2 == 0:
            if max_value-d//2 in set_B:
                cnt += 1

        if max_value+d in set_B:
            cnt += 1
        if min_value-d in set_B:
            cnt += 1
        ans += len(set_B)

print(ans-cnt)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
list_S = list(input())
list_R = []
list_B = []
list_G = []
ans = 0
for i, c in enumerate(list_S):
    if c == "R":
        list_R.append(i+1)
    if c == "B":
        list_B.append(i+1)
    if c == "G":
        list_G.append(i+1)

for i in list_R:
    for j in list_G:
        for k in list_B:
            l = [i,j,k]
            l.sort()
            if l[1]-l[0] != l[2]-l[1]:
                ans += 1

print(ans)

Fixed submission:
n = int(input())
list_S = list(input())
list_R = []
list_B = []
list_G = []
ans = 0
for i, c in enumerate(list_S):
    if c == "R":
        list_R.append(i+1)
    if c == "B":
        list_B.append(i+1)
    if c == "G":
        list_G.append(i+1)
set_R = set(list_R)
set_G = set(list_G)
set_B = set(list_B)
cnt = 0
for i in list_R:
    for j in list_G:
        max_value = max(i, j)
        min_value = min(i, j)
        d = (max_value - min_value)
        if d % 2 == 0:
            if max_value-d//2 in set_B:
                cnt += 1

        if max_value+d in set_B:
            cnt += 1
        if min_value-d in set_B:
            cnt += 1
        ans += len(set_B)

print(ans-cnt)
Buggy python submission (verdict: Time Limit Exceeded):
k = int(input())
cnt = 0
num = 0

while True:
    if cnt == k:
        break
    num += 1
    list_num = list(str(num))
    a = 0
    for i in range(len(list_num)):
        if i+1 == len(list_num):
            break
        if abs(int(list_num[i])-int(list_num[i+1])) > 1:
            a = 1
    if a == 0:
        cnt += 1

print(num)


Fixed submission:
k = int(input())
cnt = 9
q = ["1", "2", "3", "4", "5", "6", "7", "8", "9"]

if k <= cnt:
    print(q[k-1])

while True:
    if cnt >= k:
        break
    num = q.pop(0)
    list_num = list(num)
    a = int(list_num[-1])
    for i in range(10):
        if abs(a-i) < 2:
            cnt += 1
            if i == 0:
                q.append(num+"0")
            elif i == 1:
                q.append(num +"1")
            elif i == 2:
                q.append(num +"2")
            elif i == 3:
                q.append(num+"3")
            elif i == 4:
                q.append(num+"4")
            elif i == 5:
                q.append(num+"5")
            elif i == 6:
                q.append(num+"6")
            elif i == 7:
                q.append(num+"7")
            elif i == 8:
                q.append(num+"8")
            elif i == 9:
                q.append(num+"9")

if k > 9:
    print(q[k-cnt-1])
Buggy python submission (verdict: Time Limit Exceeded):
import os
import sys

sys.setrecursionlimit(10 ** 9)

import numpy as np
from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson
from scipy.sparse import csr_matrix

n, x, y = map(int, input().split())
ma = [[0]*n for _ in range(n)]
for i in range(n-1):
    ma[i][i+1] = 1
    ma[i+1][i] = 1

ma[x-1][y-1] = 1
ma[y-1][x-1] = 1
a = csr_matrix(ma)
b = dijkstra(a, directed=False).astype(int)
ans = [0]*(n-1)
for i in range(n):
  l = b[i]
  for num in l:
    if int(num) != 0:
    	ans[int(num)-1] += 1

for i in ans:
  print(i//2)

Fixed submission:
n, x, y = map(int, input().split())
ans = [0 for _ in range(n)]
for i in range(1, n+1):
    for j in range(i+1, n+1):
        ans[min(j-i, abs(i-x)+abs(j-y)+1)] += 1


for i in range(1, n):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson
from scipy.sparse import csr_matrix

n, x, y = map(int, input().split())
ma = [[0]*n for _ in range(n)]
for i in range(n-1):
    ma[i][i+1] = 1
    ma[i+1][i] = 1

ma[x-1][y-1] = 1
ma[y-1][x-1] = 1
a = csr_matrix(ma)
b = dijkstra(a, directed=False).astype(int)
ans = [0]*(n-1)
for i in range(n):
  l = b[i]
  for num in l:
    if int(num) != 0:
    	ans[int(num)-1] += 1

for i in ans:
  print(i//2)

Fixed submission:
n, x, y = map(int, input().split())
ans = [0 for _ in range(n)]
for i in range(1, n+1):
    for j in range(i+1, n+1):
        ans[min(j-i, abs(i-x)+abs(j-y)+1)] += 1


for i in range(1, n):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
import numpy as np
from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson
from scipy.sparse import csr_matrix

n, x, y = map(int, input().split())
ma = [[0]*n for _ in range(n)]
for i in range(n-1):
    ma[i][i+1] = 1
    ma[i+1][i] = 1

ma[x-1][y-1] = 1
ma[y-1][x-1] = 1
a = csr_matrix(ma)
b = shortest_path(a)
ans = [0]*(n-1)
for i in range(n):
  l = b[i]
  for num in l:
    if num != 0:
    	ans[int(num)-1] += 1

for i in ans:
  print(i//2)

Fixed submission:
n, x, y = map(int, input().split())
ans = [0 for _ in range(n)]
for i in range(1, n+1):
    for j in range(i+1, n+1):
        ans[min(j-i, abs(i-x)+abs(j-y)+1)] += 1


for i in range(1, n):
    print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
x, y, a, b, c = map(int, input().split())
list_A = list(map(int, input().split()))
list_B = list(map(int, input().split()))
list_C = list(map(int, input().split()))
list_N = []

for i in list_A:
    list_N.append([i, "A"])

for i in list_B:
    list_N.append([i, "B"])

for i in list_C:
    list_N.append([i, "C"])

k = x + y
cnt = 0
ans = 0
list_N.sort(key=lambda x:x[0], reverse=True)
while True:
    if cnt == k:
        break
    l = list_N.pop(0)

    if l[1] == "A" and x != 0:
        x -= 1
        cnt += 1
        ans += l[0]

    if l[1] == "B" and y != 0:
        y -= 1
        cnt += 1
        ans += l[0]

    if l[1] == "C":
        cnt += 1
        ans += l[0]

print(ans)

Fixed submission:
x, y, a, b, c = map(int, input().split())
list_A = list(map(int, input().split()))
list_B = list(map(int, input().split()))
list_C = list(map(int, input().split()))
list_A.sort(reverse=True)
list_B.sort(reverse=True)
list_C.sort(reverse=True)

list_N = list_A[:x] + list_B[:y] + list_C[:min(c, x + y)]
list_N.sort(reverse=True)
print(sum(list_N[:x+y]))
Buggy python submission (verdict: Time Limit Exceeded):
s = input("")
q = int(input())
cnt = 1
for _ in range(q):
    list_q = list(map(str, input().split()))
    if list_q[0] == "1":
        cnt *= -1
    elif list_q[0] == "2":

        if list_q[1] == "1" and cnt == 1:
            s = list_q[2] + s
        elif list_q[1] == "1" and cnt == -1:
            s = s + list_q[2]
        elif list_q[1] == "2" and cnt == 1:
            s = s + list_q[2]
        elif list_q[1] == "2" and cnt == -1:
            s = list_q[2] + s

if cnt == 1:
    print(s)
elif cnt == -1:
    print(s[::-1])

Fixed submission:
from collections import deque

ans = deque()
center_ans_1 = input()
center_ans = list(center_ans_1)
for i in range(len(center_ans)):
    a = center_ans[i]
    ans.append(a)

q = int(input())
list_data = [ list(map(str,input().split(" "))) for i in range(q)]
#print(list_data)
re = 0
for i in range(q):
    list_a = list_data[i]
    #print(list_a)
    if list_a[0] == "1":
        re += 1
    elif list_a[0] == "2":
        if list_a[1] == "1":
            if re % 2 == 0:
                ans.appendleft(list_a[2])
            elif re % 2 == 1:
                ans.append(list_a[2])
        elif list_a[1] == "2":
            if re % 2 == 0:
                ans.append(list_a[2])
            elif re % 2 == 1:
                ans.appendleft(list_a[2])

if re % 2 == 1:
    ans.reverse()

print("".join(ans))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
data_list = []
for i in range(n):
    data_list.append(input(""))

data_list_a = set(data_list)
data_list_a = list(data_list_a)

data_a = [0 for i in range(len(data_list_a))]

for i in range(len(data_list_a)):
    for j in range(n):
        if data_list[j] == data_list_a[i]:
            data_a[i] += 1


#print(data_list)
#print(data_list_a)
#print(data_a)
ans_a = []
d = max(data_a)
for i in range(len(data_list_a)):
    if data_a[i] == d:
        ans_a.append(i)

ans = []

for i in range(len(ans_a)):
    ans.append(data_list_a[ans_a[i]])

ans.sort()

for i in range(len(ans)):
    print(ans[i])

Fixed submission:
n = int(input())
data_list = []
for _ in range(n):
    data_list.append(input(""))

data_list_a = set(data_list)
data_list_a = list(data_list_a)
m = len(data_list_a)

data_a = [0 for _ in range(m)]

data_dic = dict(zip(data_list_a, data_a))

for i in range(n):
    data_dic[data_list[i]] += 1

data_score = data_dic.values()
max_value = max(data_score)
ans = []


for i in range(m):
    if data_dic[data_list_a[i]] == max_value:
        ans.append(data_list_a[i])


ans.sort()

for i in range(len(ans)):
    print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
list_score = list(map(int, input().split()))

list_ans = 0

for i in range(n-k+1):
    list_sum = sum(list_score[i:i+k])
    if list_sum >= list_ans:
        list_ans = list_sum




ans = list_ans*0.5 + 0.5*k

print(ans)

Fixed submission:
n, k = map(int, input().split())
list_P = list(map(int, input().split()))
cnt = 0

for i in range(k):
    p = list_P[i]
    cnt += (1+p)/2

ans = cnt
for i in range(k, n):
    p, q = list_P[i-k], list_P[i]
    cnt -= (1+p)/2
    cnt += (1+q)/2
    ans = max(ans, cnt)

print(ans)

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

list_ans = 0

for i in range(n-k+1):
    list_sum = list_score[i:i+k]
    if sum(list_sum) >= list_ans:
        list_ans = sum(list_sum)




ans = list_ans*0.5 + 0.5*k

print(ans)

Fixed submission:
n, k = map(int, input().split())
list_P = list(map(int, input().split()))
cnt = 0

for i in range(k):
    p = list_P[i]
    cnt += (1+p)/2

ans = cnt
for i in range(k, n):
    p, q = list_P[i-k], list_P[i]
    cnt -= (1+p)/2
    cnt += (1+q)/2
    ans = max(ans, cnt)

print(ans)

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

list_ans = []

for i in range(n-k+1):
    list_sum = list_score[i:i+k]
    list_ans.append(sum(list_sum))

list_ans.sort()


ans = list_ans[-1]*0.5 + 0.5*k

print(ans)

Fixed submission:
n, k = map(int, input().split())
list_P = list(map(int, input().split()))
cnt = 0

for i in range(k):
    p = list_P[i]
    cnt += (1+p)/2

ans = cnt
for i in range(k, n):
    p, q = list_P[i-k], list_P[i]
    cnt -= (1+p)/2
    cnt += (1+q)/2
    ans = max(ans, cnt)

print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = [1]

if n % 2 == 1:
    n -= 1

if n % 2 == 0:
    for i in range(int(n / 2)):
        a.append(2 * a[i])

print(a[-1]*2 - 1)

Fixed submission:
a, b = map(int, input().split())
ans = 0
if a % b ==0:
    ans = a//b
else:
    ans = a//b + 1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
list_score = list(map(int, input().split()))
list_value = [-1 for _ in range(n)]
ans = 0

for i in range(1, n+1):
    a = list_score.index(i)
    b = list_value[0:a+1]
    #print(a)
    #print(b)
    #print(sum(b), -(a+1))
    if sum(b) == -(a+1):
        ans += 1
    list_value[a] = 1

print(ans)

Fixed submission:
n = int(input())
list_score = list(map(int, input().split()))
min_value = list_score[0]
ans = 0

for i in range(0, n):
    min_value = min(min_value, list_score[i])
    if list_score[i] == min_value:
        ans += 1
print(ans)

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

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

ans_a = 0

for i in range(n):
    a = list_nm[:i+1]
    a.sort()
    
    if a[0] == list_nm[i]:
        ans_a += 1

print(ans_a)

Fixed submission:
n = int(input())
list_score = list(map(int, input().split()))
min_value = list_score[0]
ans = 0

for i in range(0, n):
    min_value = min(min_value, list_score[i])
    if list_score[i] == min_value:
        ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
r, s, p = map(int, input().split())
score_list = list(input())
#rグー、sチョキ、pパー
for i in range(k):
    score_list.insert(0, 0)


ans = 0
for i in range(k, n+k):
    if score_list[i] == "r":
        if score_list[i] != score_list[i-k]:
            ans += p
        else:
            score_list[i] = 0
    elif score_list[i] == "s":
        if score_list[i] != score_list[i-k]:
            ans += r
        else:
            score_list[i] = 0
    elif score_list[i] == "p":
        if score_list[i] != score_list[i-k]:
            ans += s
        else:
            score_list[i] = 0

print(ans)

Fixed submission:
#入力
n, k = map(int, input().split())
rsp_score = list(map(int, input().split()))
rsp = input("")
rsp_order = list(rsp)
t_score = []
t_order = []
#
for i in range(n):
    if rsp_order[i] == "r":
        if i < k:
            t_score.append(rsp_score[2])
            t_order.append("p")

        elif i >= k:
            if rsp_order[i] != rsp_order[i - k] or t_order[i - k] == "c":
                t_score.append(rsp_score[2])
                t_order.append("p")

            else:
                t_score.append(0)
                t_order.append("c")

    elif rsp_order[i] == "s":
        if i < k:
            t_score.append(rsp_score[0])
            t_order.append("r")

        elif i >= k:
            if rsp_order[i] != rsp_order[i - k] or t_order[i - k] == "c":
                t_score.append(rsp_score[0])
                t_order.append("r")

            else:
                t_score.append(0)
                t_order.append("c")

    elif rsp_order[i] == "p":
        if i < k:
            t_score.append(rsp_score[1])
            t_order.append("s")

        elif i >= k:
            if rsp_order[i] != rsp_order[i - k] or t_order[i - k] == "c":
                t_score.append(rsp_score[1])
                t_order.append("s")

            else:
                t_score.append(0)
                t_order.append("c")

print(sum(t_score))
Buggy python submission (verdict: Runtime Error):
import math

a, b = map(int, input().split())
def lcm(x, y):
    return (x * y) // math.gcd(x, y)

print(lcm(a, b))

Fixed submission:
import  fractions

a, b = map(int, input().split())

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

print(lcm(a, b))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
list_n_ans = []
ans = []



while n >= 2:
    list_n_ans.append(n)
    n -= 2

x = len(list_n_ans)

if n % 2 == 0:
    while x > 4:
        ans.append(int(x/5))
        x = int(x/5)

print(sum(ans))




Fixed submission:
n = int(input())

if n % 2 == 1:
    print(0)
elif n % 2 == 0:
    ans = 0
    k = 10
    while n >= k:
        ans += n//k
        k *= 5
        
    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
list_n_ans = []
k = 0
ans = 0

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

while n >= 2:
    list_n_ans.append(n)
    n -= 2


if n % 2 == 0:
    while len(list_n_ans) + k > 4:
        k -= 5
        x = prime_factorize(list_n_ans[k])
        y = [s for s in  x if s == 5]
        ans += len(y)

print(ans)




Fixed submission:
n = int(input())

if n % 2 == 1:
    print(0)
elif n % 2 == 0:
    ans = 0
    k = 10
    while n >= k:
        ans += n//k
        k *= 5
        
    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
list_n_ans = [1]
k = -1
ans = 0

while n >= 2:
    list_n_ans.append(n*list_n_ans[-1])
    n -= 2


n_str = str(list_n_ans[-1])


n_str_list = list(n_str)


while n_str_list[k] == "0":
    ans += 1
    k -= 1

print(ans)

Fixed submission:
n = int(input())

if n % 2 == 1:
    print(0)
elif n % 2 == 0:
    ans = 0
    k = 10
    while n >= k:
        ans += n//k
        k *= 5
        
    print(ans)