Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
out=0
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]
for i in range(1,N+1):
    out+=len(make_divisors(i))*i
print(out)

Fixed submission:
N=int(input())
out=0
for X in range(1,N+1):
    Y=N//X
    out+=Y*(Y+1)*X/2
print(int(out))

Buggy python submission (verdict: Runtime Error):
import sympy
N=int(input())
out=0
for i in range(1,N+1):
    out+=len(sympy.divisors(i))*i
print(out)

Fixed submission:
N=int(input())
out=0
for X in range(1,N+1):
    Y=N//X
    out+=Y*(Y+1)*X/2
print(int(out))

Buggy python submission (verdict: Runtime Error):
import collections as col
import sympy
N=int(input())
out=0
for i in range(1,N+1):
    out+=len(sympy.divisors(i))*i
print(out)

Fixed submission:
N=int(input())
out=0
for X in range(1,N+1):
    Y=N//X
    out+=Y*(Y+1)*X/2
print(int(out))
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())

flag = True

min = N

if K == 1:
    ans = 0
elif N % K == 0:
    ans = 0
elif abs(N - K) > N:
    ans = N
else:
    while(flag):
        if abs(min - K) < min:
            min = abs(min - K)
        else:
            flag = False
            ans = min

print(ans)


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

flag = True

min = N

if K == 1:
    ans = 0
elif N % K == 0:
    ans = 0
elif abs(N - K) > N:
    ans = N
else:
    if (N % K) > (K / 2):
        ans = abs((N % K) - K)
    else:
        ans = N % K

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

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

c = collections.Counter(A)

sum = 0

for a in A:
    for key in c.keys():
        if key == a:
            value_k = c[key] - 1
            sum += value_k * (value_k - 1) // 2
        else:
            value_k = c[key]
            sum += value_k * (value_k - 1) // 2
    print(sum)
    sum = 0


Fixed submission:
import collections

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

c = collections.Counter(A)

sum_dict = {}
sum_dict_n = {}

sum = 0
sum_n = 0

for key in c.keys():
    coll = c[key] * (c[key] - 1) // 2
    sum_dict[key] = coll
    sum += coll
    value_k = c[key] - 1
    coll_n = value_k * (value_k - 1) // 2
    sum_dict_n[key] = coll_n

for a in A:
    ans = sum
    ans = ans - sum_dict[a] + sum_dict_n[a]
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import collections

N = int(input())
S = [input() for i in range(N)]

count = collections.Counter(S)

# print(count)

max_k_list = [kv[0] for kv in count.items() if kv[1] == max(count.values())]

max_k_list.sort()

for i in max_k_list:
    print(i)


Fixed submission:
import collections

N = int(input())
S = [input() for i in range(N)]

# print(S)

count = collections.Counter(S)

# print(count)

max_value = max(count.values())

max_k_list = []

for k, v in sorted(count.items(), key=lambda x: x[1], reverse=True):
    if v == max_value:
        max_k_list.append(k)
    else:
        break

max_k_list.sort()

for i in max_k_list:
    print(i)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
p = list(map(int, input().split()))

sum_l = 0
sum = 0
sum_p = 0
sum_p_len = []
max = 0

for i in range(len(p) - K + 1):
    l = p[i:K]
    for j in l:
        sum_l += j
    if max < sum_l:
        max = sum_l
        sum_p_len = l
    sum_l = 0
    K += 1

# print(sum_p_len)

for i in sum_p_len:
    for j in range(i):
        j += 1
        sum += j / i
    sum_p += sum
    sum = 0

print(sum_p)


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

for i in range(len(p)):
    p[i] = (p[i] + 1) / 2

sum = 0
S = [0]

for i in p:
    sum += i
    S.append(sum)

# print(S)

max = 0

for i in range(len(p) - K + 1):
    s = S[i + K] - S[i]
    # print(s)
    if max < s:
        max = s

print(max)

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

sum = 0
sum_p = 0
sum_l = []

for i in range(len(p) - K + 1):
    l = p[i:K]
    # print(l)
    for j in l:
        for k in range(j):
            k += 1
            sum += k / j
        # print(sum)
        sum_p += sum
        sum = 0
    sum_l.append(sum_p)
    sum_p = 0
    K += 1

print(max(sum_l))


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

for i in range(len(p)):
    p[i] = (p[i] + 1) / 2

sum = 0
S = [0]

for i in p:
    sum += i
    S.append(sum)

# print(S)

max = 0

for i in range(len(p) - K + 1):
    s = S[i + K] - S[i]
    # print(s)
    if max < s:
        max = s

print(max)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = [int(input()) for i in range(N)]

l = []

for i in A:
    # print(A.count(i))
    if A.count(i) == 1:
        l.append(i)

print(len(l))


Fixed submission:
import collections

N = int(input())
A = [int(input()) for i in range(N)]

count_dict = collections.Counter(A)

# print(count_dict)

count = 0

for i in count_dict.values():
    if i % 2 == 1:
        count += 1

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

que = A[0]
list_plus = False
list_minus = False
que_list = []

for i in A:
    if que < i:
        list_plus = True
        break
    elif que > i:
        list_minus = True
        break

if list_plus:
    for i in A:
        if A[i] < A[i-1]:
            len = i
            break
else:
    for i in A:
        if A[i] > A[i-1]:
            len = i
            break

# print(len)
s = N // len
a = N % len

print(s + a)


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

state_plus = False
state_minus = False
state_flat = True
count = 0

for i in range(N-1):
    # print(str(A[i]) + ',' + str(A[i + 1]))
    if state_flat:
        if A[i + 1] > A[i]:
            state_flat = False
            state_plus = True
        elif A[i + 1] < A[i]:
            state_flat = False
            state_minus = True
    elif state_plus:
        if A[i] > A[i + 1]:
            state_plus = False
            state_flat = True
            count += 1
    elif state_minus:
        if A[i] < A[i + 1]:
            state_minus = False
            state_flat = True
            count += 1
    # print(count)

print(count + 1)

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

que = 0
list_plus = False
list_minus = False
que_list = []

for i in A:
    if que == 0:
        que = i
        que_list.append(i)
    elif que < i:
        list_plus = True
        que = i
        que_list.append(i)
    elif que > i:
        list_minus = True
        que = i
        que_list.append(i)

    if list_plus:
        if list_minus:
            len = len(que_list) - 1
            break
    else:
        if list_plus:
            len = len(que_list) - 1
            break

s = N // len
a = N % len

print(s + a)


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

state_plus = False
state_minus = False
state_flat = True
count = 0

for i in range(N-1):
    # print(str(A[i]) + ',' + str(A[i + 1]))
    if state_flat:
        if A[i + 1] > A[i]:
            state_flat = False
            state_plus = True
        elif A[i + 1] < A[i]:
            state_flat = False
            state_minus = True
    elif state_plus:
        if A[i] > A[i + 1]:
            state_plus = False
            state_flat = True
            count += 1
    elif state_minus:
        if A[i] < A[i + 1]:
            state_minus = False
            state_flat = True
            count += 1
    # print(count)

print(count + 1)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

p = 1

for i in range(N):
    i += 1
    p *= i

print(p % (10**9 + 7))

Fixed submission:
N = int(input())

p = 1

for i in range(N):
    i += 1
    p *= i
    p %= 10**9 + 7

print(p)

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

p = 1

for i in range(N):
    i += 1
    p *= i

print(p % (pow(10, 9) + 7))


Fixed submission:
N = int(input())

p = 1

for i in range(N):
    i += 1
    p *= i
    p %= 10**9 + 7

print(p)
Buggy python submission (verdict: Time Limit Exceeded):
K, S = map(int, input().split())

l = []

for i in range(K + 1):
    l.append(i)

count = 0

for i in l:
    x = i
    for j in l:
        y = j
        for k in l:
            z = k
            if (x + y + z) == S:
                count += 1

print(count)


Fixed submission:
K, S = map(int, input().split())

l = []

for i in range(K + 1):
    l.append(i)

count = 0

for i in l:
    for j in l:
        z = S - i - j
        if 0 <= z and z <= K:
            count += 1

print(count)
Buggy python submission (verdict: Time Limit Exceeded):
a, b, x = map(int, input().split())

l = []

count = 0

for i in range(b - a + 1):
    l.append(a + i)

for i in l:
    if i % x == 0:
        count += 1

print(count)


Fixed submission:
a, b, x = map(int, input().split())

if (a - 1) < 0:
    count_a = 0
else:
    count_a = (a - 1) // x + 1

count_b = b // x + 1

print(count_b - count_a)
Buggy python submission (verdict: Runtime Error):
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

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

    return arr

N=one_int()

temp = factorization(N)
temp = sorted(temp, key= lambda x: x[0])

output_set = []
output = [ output_set + [t[0]]*t[1] for t in temp ]


count = 0
for i in output:
    temp = len(i)
    sums = 0
    for t in range(1,temp+1):
        sums += t
        if temp >= sums:
            count += 1

print(count)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

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

    return arr

N=one_int()

temp = factorization(N)
temp = sorted(temp, key= lambda x: x[0])

# temp = [[2,9]]



output_set = []
output = [ output_set + [t[0]]*t[1] for t in temp ]

count = 0
for i in output:
    temp = len(i)
    sums = 0
    for t in range(1,temp+1):
        sums += t
        if temp >= sums:
            count += 1

if N==1:
    print(0)
else:
    print(count)
Buggy python submission (verdict: Runtime Error):
def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

from math import factorial
def comb(n,r):
    return factorial(n) / factorial(r) / factorial(n - r)

dicts = {}

N=one_int()

A = many_int()

# 辞書作成
for a in A:
    if a in dicts:
        dicts[a] += 1
    else:
        dicts[a] = 1

# 2個選ぶ組み合わせ計算
dicts_less ={}
sums = 0
for k, v in dicts.items():
    if v>=2:
        sums += comb(v,2)
    if v<2:
        dicts_less[k]=0
    elif v<=2:
        dicts_less[k]=comb(v,2) - 0
    else:
        dicts_less[k]=comb(v,2) - comb(v-1,2)

for a in A:
    print(int(sums - dicts_less[a]))

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

def one_int():
    return int(input())

def one_str():
    return input()

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

from math import factorial
from operator import mul
from functools import reduce

def comb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

dicts = {}

N=one_int()

A = many_int()

# 辞書作成
for a in A:
    if a in dicts:
        dicts[a] += 1
    else:
        dicts[a] = 1

# 2個選ぶ組み合わせ計算
dicts_less ={}
sums = 0
for k, v in dicts.items():
    if v>=2:
        sums += comb(v,2)
    if v<2:
        dicts_less[k]=0
    elif v==2:
        dicts_less[k]=comb(v,2) - 0
    else:
        dicts_less[k]=comb(v,2) - comb(v-1,2)

for a in A:
    print(int(sums - dicts_less[a]))
Buggy python submission (verdict: Runtime Error):
def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

import fractions

import math

A, B, C = input_int()

max_num = int(math.sqrt(max(a))+1)

a=[A,B,C]
ans = A
for i in range(1, len(a)):
    ans = fractions.gcd(ans, a[i])

A //= ans
B //= ans
C //= ans

if ( A**(1/2) + B**(1/2) ) < C**(1/2):
    print("Yes")
else:
    print("No")

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

def one_int():
    return int(input())

def one_str():
    return input()

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

from decimal import *

getcontext().prec = 28      # デフォルト28桁のところを20桁にする


A, B, C = input_int()

A = Decimal(A).sqrt()
B = Decimal(B).sqrt()
C = Decimal(C).sqrt()



if (A+B) < C:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

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

    return arr


import math

A, B, C = input_int()

migi = math.sqrt(C)

migi -=  math.sqrt(A)
migi -=  math.sqrt(B)



if 0 < migi:
    print("Yes")
else:
    print("No")

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

def one_int():
    return int(input())

def one_str():
    return input()

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

from decimal import *

getcontext().prec = 28      # デフォルト28桁のところを20桁にする


A, B, C = input_int()

A = Decimal(A).sqrt()
B = Decimal(B).sqrt()
C = Decimal(C).sqrt()



if (A+B) < C:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

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

    return arr


import math

A, B, C = input_int()

migi = math.sqrt(C)

hidari = math.sqrt(A) + math.sqrt(B)

if hidari < migi:
    print("Yes")
else:
    print("No")

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

def one_int():
    return int(input())

def one_str():
    return input()

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

from decimal import *

getcontext().prec = 28      # デフォルト28桁のところを20桁にする


A, B, C = input_int()

A = Decimal(A).sqrt()
B = Decimal(B).sqrt()
C = Decimal(C).sqrt()



if (A+B) < C:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

S= one_str()

Q = one_int()

Qs = [ input() for i in range(Q)]
def ss(S, Qs):
    for temp in Qs:
#         temp = input()
        if len(temp)>=2:
            T, F, C = temp.split()
            if F=="1":
                S = C+S
            else:
                S = S+C
        else:        
            S=S[::-1]

    return S

print(ss(S,Qs))

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

def one_int():
    return int(input())

def one_str():
    return input()

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

S= one_str()

Q = one_int()

Qs = [ input() for i in range(Q)]
def ss(S, Qs):
    is_not_ac=False
    head = ""
    tail = ""
    for temp in Qs:
#         temp = input()
        if len(temp)>=2:
            T, F, C = temp.split()
            if F=="1":
                if is_not_ac:
                    tail += C
                else:
                    head += C
            else:
                if is_not_ac:
                    head += C
                else:
                    tail += C
        else:        
            is_not_ac = not is_not_ac
    if is_not_ac:
        return tail[::-1] + S[::-1] + head
    else:
        return head[::-1] + S + tail


print(ss(S,Qs))
Buggy python submission (verdict: Runtime Error):
def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

N,M = input_int()

data = []
for i in range(M):
    s,c = input_int()
    data.append([s,c])

output = [0 for i  in range(N)]

def solve(N, data):
    mins = 100000000000
    for i in range(10**N):

        temp = str(i)
        flg = True
        for d in data:
            if temp[d[0]-1] != str(d[1]) and len(temp)==N:
                flg = False
                break
        if flg==True:
            return temp
    return -1

output = solve(N,data)
print(output)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

N,M = input_int()

data = []
for i in range(M):
    s,c = input_int()
    data.append([s,c])

def solve(N, data):
    mins = 100000000000
    for i in range(10**N):

        temp = str(i)
        flg = True
        if len(temp)==N:
            for d in data:
                if temp[d[0]-1] != str(d[1]):
                    flg = False
                    break
            if flg==True:
                return temp
    return -1

output = solve(N,data)
print(output)

Buggy python submission (verdict: Runtime Error):
def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

N,M = input_int()

dicts = {}

data = []
for i in range(M):
    s,c = input_int()
    data.append([s,c])

data = sorted(data, key=lambda x: x[0],reverse=True)

data

output = [0 for i  in range(data[0][0])]

def solve(data):
    for d in data:
        if d[1]==0:
            continue
        elif output[d[0]-1]!=0:
            if (output[d[0]-1] != d[1]):
                return -1
            
        output[d[0]-1] = d[1]
    return int("".join(list(map(str, output))))

output = solve(data)
if output==0:
    print(-1)
else:
    print(output)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

N,M = input_int()

data = []
for i in range(M):
    s,c = input_int()
    data.append([s,c])

def solve(N, data):
    mins = 100000000000
    for i in range(10**N):

        temp = str(i)
        flg = True
        if len(temp)==N:
            for d in data:
                if temp[d[0]-1] != str(d[1]):
                    flg = False
                    break
            if flg==True:
                return temp
    return -1

output = solve(N,data)
print(output)
Buggy python submission (verdict: Time Limit Exceeded):
def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

N,K=input_int()
P= many_int()

kitaiti = []
for p in P:
    kitaiti.append((p+1)/2 )

maxs = 0
for i in range(K,N+1):
    temp = sum(kitaiti[i-K:i])
    if temp > maxs:
        maxs = temp

print(maxs)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

N,K=input_int()
P= many_int()

kitaiti = [0]
for p in P:
    kitaiti.append((p+1)/2 )



maxs = 0
temp = sum(kitaiti[:K])
for i in range(N-K+1):

    temp += kitaiti[i+K]
    temp -= kitaiti[i]

    if temp > maxs:
        maxs = temp


print(maxs)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

N,K=input_int()
P= list(map(float, input().split()))

kitaiti = []
for p in P:
    kitaiti.append( (((p+1)*p)//2) / p )

maxs = 0
for i in range(K,N+1):
    temp = sum(kitaiti[i-K:i])
    if temp > maxs:
        maxs = temp

print(maxs)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

N,K=input_int()
P= many_int()

kitaiti = [0]
for p in P:
    kitaiti.append((p+1)/2 )



maxs = 0
temp = sum(kitaiti[:K])
for i in range(N-K+1):

    temp += kitaiti[i+K]
    temp -= kitaiti[i]

    if temp > maxs:
        maxs = temp


print(maxs)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

N,K=input_int()
P= list(map(float, input().split()))

kitaiti = []
for p in P:
    kitaiti.append( (((p+1)*p)//2) / p )

maxs = 0
for i in range(K,N+1):
    temp = sum(kitaiti[i-K:i])
    if temp > maxs:
        maxs = temp

print(maxs)

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

def one_int():
    return int(input())

def one_str():
    return input()

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

N,K=input_int()
P= many_int()

kitaiti = [0]
for p in P:
    kitaiti.append((p+1)/2 )



maxs = 0
temp = sum(kitaiti[:K])
for i in range(N-K+1):

    temp += kitaiti[i+K]
    temp -= kitaiti[i]

    if temp > maxs:
        maxs = temp


print(maxs)
Buggy python submission (verdict: Runtime Error):
def hoge(n, cnt=0):
    if n == 0:
        return cnt
    else:
        return hoge(int(n/2), 2 * cnt + 1)
      
def one_int():
    return int(input())
  
  
print(hoge(one_int()))

Fixed submission:
def two_int():
    N, K = map(int, input().split())
    return N,K

def one_int():
    return int(input())

def one_str():
    return input()

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

N,M = two_int()

temp = N/M

if temp.is_integer():
    print(int(temp))
else:
    print(int(temp)+1)