Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
N = int(input())
A = list(map(int,input().split()))
MOD = 10 ** 9 + 7
ans = 0
bit_matrix = [[0] * N for _ in range(61)]
for i in range(len(A)):
    n = 0
    while 2 ** n <= A[i]:
        if A[i] >> n & 1:
            bit_matrix[n][i] = 1
        n += 1
#print(bit_matrix)
#bit_matrix_T = []
'''
for j in range(60):
    tmp = []
    for i in range(N):
        tmp.append(bit_matrix[i][j])
    bit_matrix_T.append(tmp)
'''
#print(bit_matrix_T)
for i in range(len(bit_matrix)):
    tmp = Counter(bit_matrix[i])
    a = list(tmp.values())
    if len(a) == 2:
        ans += (2 ** i) * a[0] * a[1]
        ans %= MOD
print(ans)


Fixed submission:
from collections import Counter
N = int(input())
A = list(map(int,input().split()))
MOD = 10 ** 9 + 7
ans = 0
bit_matrix = [[0] * N for _ in range(61)]
for i in range(len(A)):
    n = 0
    while 2 ** n <= A[i]:
        if A[i] >> n & 1:
            bit_matrix[n][i] = 1
        n += 1
#print(bit_matrix)
#bit_matrix_T = []
'''
for j in range(60):
    tmp = []
    for i in range(N):
        tmp.append(bit_matrix[i][j])
    bit_matrix_T.append(tmp)
'''
#print(bit_matrix_T)
for i in range(len(bit_matrix)):
    tmp = Counter(bit_matrix[i])
    a = list(tmp.values())
    if len(a) == 2:
        ans += (2 ** i) * a[0] * a[1]
        ans %= MOD
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
N = int(input())
A = list(map(int,input().split()))
MOD = 10 ** 9 + 7
ans = 0
bit_matrix = [[0] * 60 for _ in range(N)]
for i in range(len(A)):
    n = 0
    while 2 ** n <= A[i]:
        if A[i] >> n & 1:
            bit_matrix[i][n] = 1
        n += 1
#print(bit_matrix)
bit_matrix_T = []
for j in range(60):
    tmp = []
    for i in range(N):
        tmp.append(bit_matrix[i][j])
    bit_matrix_T.append(tmp)
#print(bit_matrix_T)
for i in range(len(bit_matrix_T)):
    tmp = Counter(bit_matrix_T[i])
    a = list(tmp.values())
    if len(a) == 2:
        ans += (2 ** i) * a[0] * a[1]
        ans %= MOD
print(ans)


Fixed submission:
from collections import Counter
N = int(input())
A = list(map(int,input().split()))
MOD = 10 ** 9 + 7
ans = 0
bit_matrix = [[0] * N for _ in range(61)]
for i in range(len(A)):
    n = 0
    while 2 ** n <= A[i]:
        if A[i] >> n & 1:
            bit_matrix[n][i] = 1
        n += 1
#print(bit_matrix)
#bit_matrix_T = []
'''
for j in range(60):
    tmp = []
    for i in range(N):
        tmp.append(bit_matrix[i][j])
    bit_matrix_T.append(tmp)
'''
#print(bit_matrix_T)
for i in range(len(bit_matrix)):
    tmp = Counter(bit_matrix[i])
    a = list(tmp.values())
    if len(a) == 2:
        ans += (2 ** i) * a[0] * a[1]
        ans %= MOD
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = input()
pattern = [False] * 1000

for i in range(1000):
    str_i = str(i)
    str_i = str_i.zfill(3)
    now = 0
    for c in S:
        if c == str_i[now]:
            now += 1
        if now == 3:
            pattern[i] = True
            break
print(sum(pattern))

Fixed submission:
N = int(input())
S = input()
pattern = [False] * 1000

for i in range(1000):
    str_i = str(i)
    str_i = str_i.zfill(3)
    now = 0
    for c in S:
        if c == str_i[now]:
            now += 1
        if now == 3:
            pattern[i] = True
            break
print(sum(pattern))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = list(input())
i = 1
cnt = 0
while i < len(S):
    if S[i-1] == S[i]:
        cnt += 1
    else:
        cnt = 0
    if cnt >= 4:
        S.pop(i)
    else:
        i += 1
#print(S)
pin = [0] * 1000
for i in range(len(S) - 2):
    for j in range(i + 1 , len(S) - 1):
        for k in range(j + 1 , len(S)):
            now = S[i] + S[j] + S[k]
            pin[int(now)] = 1
            if all(pin):
                print(sum(pin))
                exit()
print(sum(pin))


Fixed submission:
N = int(input())
S = input()
pattern = [False] * 1000

for i in range(1000):
    str_i = str(i)
    str_i = str_i.zfill(3)
    now = 0
    for c in S:
        if c == str_i[now]:
            now += 1
        if now == 3:
            pattern[i] = True
            break
print(sum(pattern))
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import math
from itertools import permutations
N = int(input())
coodinate = [list(map(int,input().split())) for _ in range(N)]
coodinate = np.array(coodinate)
SumDistance = 0
for val in permutations(coodinate):
    for i in range(N-1):
        SumDistance += ((val[i+1][0] - val[i][0]) ** 2 + (val[i+1][1] - val[i][1]) ** 2) ** (1 / 2)
print(SumDistance / math.factorial(N))

Fixed submission:
import math
from itertools import permutations
N = int(input())
coodinate = [list(map(int,input().split())) for _ in range(N)]
f_N = math.factorial(N)
SumDistance = 0
j = 0
for val in permutations(coodinate):
    #if j >= math.factorial(N) // 2:
    #    break
    #print(val)
    for i in range(N-1):
        SumDistance += ((val[i+1][0] - val[i][0]) ** 2 + (val[i+1][1] - val[i][1]) ** 2) ** (1 / 2)
    #j += 1

print(SumDistance / math.factorial(N))

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import math
from itertools import permutations
N = int(input())
coodinate = [list(map(int,input().split())) for _ in range(N)]
coodinate = np.array(coodinate)
SumDistance = 0
for val in permutations(coodinate):
    for i in range(N-1):
        SumDistance += ((val[i+1][0] - val[i][0]) ** 2 + (val[i+1][1] - val[i][1]) ** 2) ** (1 / 2)
print(SumDistance / math.factorial(N))

Fixed submission:
import math
from itertools import permutations
N = int(input())
coodinate = [list(map(int,input().split())) for _ in range(N)]
f_N = math.factorial(N)
SumDistance = 0
j = 0
for val in permutations(coodinate):
    #if j >= math.factorial(N) // 2:
    #    break
    #print(val)
    for i in range(N-1):
        SumDistance += ((val[i+1][0] - val[i][0]) ** 2 + (val[i+1][1] - val[i][1]) ** 2) ** (1 / 2)
    #j += 1

print(SumDistance / math.factorial(N))

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from itertools import permutations
N = int(input())
coodinate = []
for _ in range(N):
    x , y = map(int,input().split())
    coodinate.append([x,y])
coodinate = np.array(coodinate)
distance = []
for val in permutations(coodinate):
    now_distance = 0
    for i in range(N-1):
        now_distance += np.linalg.norm(val[i+1] - val[i])
    distance.append(now_distance)
print(sum(distance) / len(distance))

Fixed submission:
import math
from itertools import permutations
N = int(input())
coodinate = [list(map(int,input().split())) for _ in range(N)]
f_N = math.factorial(N)
SumDistance = 0
j = 0
for val in permutations(coodinate):
    #if j >= math.factorial(N) // 2:
    #    break
    #print(val)
    for i in range(N-1):
        SumDistance += ((val[i+1][0] - val[i][0]) ** 2 + (val[i+1][1] - val[i][1]) ** 2) ** (1 / 2)
    #j += 1

print(SumDistance / math.factorial(N))
Buggy python submission (verdict: Runtime Error):
def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod
#出力の制限
#フェルマーの小定理なので、素数のみ使用
mod = 10**9+7 #出力の制限
N = 10**6
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

x , y = map(int,input().split())
MOD = 10 ** 9 + 7
for s in range(max(x,y)):
    if 2 * x - 3 * s == y:
        flag = True
        break
t = x - 2 * s
if flag:
    print(cmb((t+s),s,mod))
else:
    print(0)

Fixed submission:
def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod
#出力の制限
#フェルマーの小定理なので、素数のみ使用
mod = 10**9+7 #出力の制限
N = 10**6
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )
flag = False
x , y = map(int,input().split())
MOD = 10 ** 9 + 7
for s in range(max(x,y)):
    if 2 * x - 3 * s == y:
        flag = True
        break
t = x - 2 * s
if flag:
    print(cmb((t+s),s,mod))
else:
    print(0)

Buggy python submission (verdict: Runtime Error):
import math
x , y = map(int,input().split())
flag = False
MOD = 10**9 + 7
for s in range(max(x,y)):
    if 2 * x - 3 * s == y:
        flag = True
        break
t = x - 2 * s
if flag:
    print(math.factorial(t+s)//(math.factorial(t) * math.factorial(s)) % MOD)
else:
    print(0)

Fixed submission:
def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod
#出力の制限
#フェルマーの小定理なので、素数のみ使用
mod = 10**9+7 #出力の制限
N = 10**6
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )
flag = False
x , y = map(int,input().split())
MOD = 10 ** 9 + 7
for s in range(max(x,y)):
    if 2 * x - 3 * s == y:
        flag = True
        break
t = x - 2 * s
if flag:
    print(cmb((t+s),s,mod))
else:
    print(0)
Buggy python submission (verdict: Runtime Error):
H , W ,A , B = map(int ,input().split())
matrix = [[0] * W for _ in range(H)]
idx = 0
k = 0
for i in range(H):
    for j in range(A):
        if k >= W:
            k -= W
        matrix[i][k] = 1
        k += 1
    k -= B - 1
flag = True
for i in matrix:
    if i.count(1) != A and i.count(0) != A:
        flag = False
for i in zip(*matrix):
    if i.count(1) != B and i.count(0) != B:
        flag = False
if flag:
    for row in matrix:
        print(*row)
else:
    print('No')

Fixed submission:
H , W , A , B = map(int , input().split())
mat = [[1] * W for _ in range(H)]
for row in range(H):
    for col in range(W):
        if col < A and row < B or col >= A and row >= B:
            mat[row][col] = 0
for row in mat:
    print(*row,sep = "")
print()

Buggy python submission (verdict: Runtime Error):
H , W ,A , B = map(int ,input().split())
matrix = [[0] * W for _ in range(H)]
idx = 0
k = 0
for i in range(H):
    for j in range(A):
        matrix[i][k] = 1
        k += 1
    k -= B - 1

for row in matrix:
    print(*row)

Fixed submission:
H , W , A , B = map(int , input().split())
mat = [[1] * W for _ in range(H)]
for row in range(H):
    for col in range(W):
        if col < A and row < B or col >= A and row >= B:
            mat[row][col] = 0
for row in mat:
    print(*row,sep = "")
print()
Buggy python submission (verdict: Time Limit Exceeded):
N , K , Q = map(int , input().split())
point = [K] * N
for _ in range(Q):
    answer = int(input())
    point = list(map(lambda x : x - 1 , point))
    point[answer - 1] += 1
for i in range(N):
    if point[i] > 0:
        print("Yes")
    else:
        print("No")


Fixed submission:

N , K , Q = map(int , input().split())
point = [K] * N
for _ in range(Q):
    answer = int(input())
    point[answer - 1] += 1
point = list(map(lambda x : x - Q , point))
for i in range(N):
    if point[i] > 0:
        print("Yes")
    else:
        print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import math

N , M = map(int, input().split())
A = list(map(int , input().split()))
np_list = np.array(A)
#print(A)
for _ in range(M):
    #print(np_list)
    max_index = np_list.argmax()
    #print(max_index)
    np_list[max_index] = np_list[max_index] / 2
A = list(map( lambda x : math.floor(x) , A ))
print(sum(np_list))

Fixed submission:
import math
import heapq
N , M = map(int, input().split())
A = list(map(int , input().split()))
A = list(map( lambda x : x * (-1) , A ))
heapq.heapify(A)
for _ in range(M):
    tmp = heapq.heappop(A) * (-1) / 2
    heapq.heappush(A,tmp * (-1))
A = list(map( lambda x : x * (-1) , A ))
A = list(map( lambda x : math.floor(x) , A ))
print(sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
import math
N , M = map(int, input().split())
A = list(map(int , input().split()))
#print(A)
for _ in range(M):
    max_index = A.index(max(A))
    A[max_index] = A[max_index] / 2
A = list(map( lambda x : math.floor(x) , A ))
print(sum(A))


Fixed submission:
import math
import heapq
N , M = map(int, input().split())
A = list(map(int , input().split()))
A = list(map( lambda x : x * (-1) , A ))
heapq.heapify(A)
for _ in range(M):
    tmp = heapq.heappop(A) * (-1) / 2
    heapq.heappush(A,tmp * (-1))
A = list(map( lambda x : x * (-1) , A ))
A = list(map( lambda x : math.floor(x) , A ))
print(sum(A))
Buggy python submission (verdict: Runtime Error):
print(int(input() ** 3))

Fixed submission:
x = int(input())
print(x**3)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
I = [i for i in range(1,N)]
print(sum(I))


Fixed submission:
N = int(input())

print(N * (N - 1) // 2)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
I = [i for i in range(1,N+1)]
P = [i for i in range(1,N+1)]
P.remove(1)
P.append(1)

ans = 0

for i in range(len(I)):
    ans += I[i] % P[i]
print(ans)


Fixed submission:
N = int(input())

print(N * (N - 1) // 2)
Buggy python submission (verdict: Runtime Error):
a , b  = int(input.split())
add = a + b
sub = a - b
mul = a * b
if add >= sub and add >= mul:
	max = add
elif sub >= add and sub >= mul:
  	max = sub
else:
    max = mul
print(max)

Fixed submission:
a , b  = map(int,input().split())
add = a + b
sub = a - b
mul = a * b
if add >= sub and add >= mul:
	max = add
elif sub >= add and sub >= mul:
  	max = sub
else:
    max = mul
print(max)
Buggy python submission (verdict: Runtime Error):
import heapq
N , M = map(int , input().split())
jobs = [list(map(int , input().split())) for _ in range(N)]
jobs.sort()

q = []
index = 0
ans = 0
for limit in range(1 , M + 1):
    while index < N:
        time =jobs[index][0]
        reward = jobs[index][1]
        if limit >= time:
            heapq.heappush(q , -reward)
            index += 1
        else:
            break
    print(q)
    if len(q) != 0:
        tmp = heapq.heappop(q)
        ans -= tmp

print(ans)


Fixed submission:
import heapq
N , M = map(int , input().split())
jobs = [list(map(int , input().split())) for _ in range(N)]
jobs.sort()

q = []
index = 0
ans = 0
for limit in range(1 , M + 1):
    while index < N:
        time =jobs[index][0]
        reward = jobs[index][1]
        if limit >= time:
            heapq.heappush(q , -reward)
            index += 1
        else:
            break
    #print(q)
    if len(q) != 0:
        tmp = heapq.heappop(q)
        ans -= tmp

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N , M = map(int , input().split())
#内包表記で入力
jobs = [list(map(int , input().split())) for _ in range(N)]
sum = 0
#print(jobs)
for limit in range(1 , M + 1):
    index = ''
    max_reward = 0
    for job in jobs:
        if (job[0] <= limit and job[1] > max_reward):
            max_reward = job[1]
            index = jobs.index(job)
    if index != '':
        del jobs[index]
    #print("limit : ",limit)
    #print("max_reward : " , max_reward)
    sum += max_reward
#print(jobs)
print(sum)


Fixed submission:
import heapq
N , M = map(int , input().split())
jobs = [list(map(int , input().split())) for _ in range(N)]
jobs.sort()

q = []
index = 0
ans = 0
for limit in range(1 , M + 1):
    while index < N:
        time =jobs[index][0]
        reward = jobs[index][1]
        if limit >= time:
            heapq.heappush(q , -reward)
            index += 1
        else:
            break
    #print(q)
    if len(q) != 0:
        tmp = heapq.heappop(q)
        ans -= tmp

print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
flag = False
h_list = list(map(int , input().split()))
for i in range(N):
  h_list[i] - 1 > h_list[i-1]:
    flag = True
    break
if flag:
  print("No")
else:
  print("Yes")

Fixed submission:
N = int(input())
max = 0
h_list = list(map(int , input().split()))
for i in h_list:
    if max < i:
        max = i
    elif max - 1 > i:
        print("No")
        exit(0)
print("Yes")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = []
for _ in range(N):
    A.append(int(input()))
list = A
list = sorted(list)
max = list[-1]
second_max = list[-2]
for i in range(N):
    if A[i] == max and A.count(max) == 1:
        print(second_max)
    else:
        print(max)

Fixed submission:
N = int(input())
A = []
for _ in range(N):
    A.append(int(input()))
list = A
list = sorted(list)
max = list[-1]
second_max = list[-2]
cnt = A.count(max)
for i in range(N):
    if A[i] == max and  cnt == 1:
        print(second_max)
    else:
        print(max)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = []
for _ in range(N):
    A.append( int(input()))

for i in range(N):
    print(max(A[:i] + A[i+1:]))

Fixed submission:
N = int(input())
A = []
for _ in range(N):
    A.append(int(input()))
list = A
list = sorted(list)
max = list[-1]
second_max = list[-2]
cnt = A.count(max)
for i in range(N):
    if A[i] == max and  cnt == 1:
        print(second_max)
    else:
        print(max)

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import copy
N = int(input())
A = []
for _ in range(N):
    A.append((-1) * int(input()))

for i in range(N):
    list = copy.deepcopy(A)
    del list[i]
    heapq.heapify(list)
    print((-1) * heapq.heappop(list))

Fixed submission:
N = int(input())
A = []
for _ in range(N):
    A.append(int(input()))
list = A
list = sorted(list)
max = list[-1]
second_max = list[-2]
cnt = A.count(max)
for i in range(N):
    if A[i] == max and  cnt == 1:
        print(second_max)
    else:
        print(max)

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
N = int(input())
A = []
for _ in range(N):
    A.append((-1) * int(input()))

for i in range(N):
    list = A[:i] + A[i + 1:]
    heapq.heapify(list)
    print((-1) * heapq.heappop(list))

Fixed submission:
N = int(input())
A = []
for _ in range(N):
    A.append(int(input()))
list = A
list = sorted(list)
max = list[-1]
second_max = list[-2]
cnt = A.count(max)
for i in range(N):
    if A[i] == max and  cnt == 1:
        print(second_max)
    else:
        print(max)
Buggy python submission (verdict: Runtime Error):
import numpy as np

N, D = map(int , input().split())
X = [list(map(int , input().split())) for _ in range(N)]
X = np.array(X)
cnt = 0
for i in range(N - 1):
    for j in range(i + 1 , N):
        dis = np.linalg.norm(X[i] - X[j])
        if dis.is_integer():
            cnt += 1
print(cnt)

Fixed submission:
import numpy as np

N, D = map(int , input().split())
X = [list(map(int , input().split())) for _ in range(N)]
X = np.array(X)
cnt = 0
for i in range(N - 1):
    for j in range(i + 1 , N):
        dis = np.linalg.norm(X[i] - X[j])
        if dis.is_integer():
            cnt += 1
print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
L , R = map(int,input().split())
if R - L >= 2019 or L == 0:
    print("0")
min = 2020
for i in range(L , R):
    for j in range(i + 1 , R + 1):
        tmp_min = ( i * j) % 2019
        if tmp_min < min:
            min = tmp_min
print(min)

Fixed submission:
L , R = map(int,input().split())
if R - L >= 2019 or L == 0:
    print("0")
    exit()
min = 2020

for i in range(L , R):
    for j in range(i + 1 , R + 1):
        tmp_min = ( i * j) % 2019
        if tmp_min < min:
            min = tmp_min
print(min)

Buggy python submission (verdict: Time Limit Exceeded):
L , R = map(int,input().split())
if R - L >= 2019:
    print("0")
min = 2020
for i in range(L , R):
    for j in range(i + 1 , R + 1):
        tmp_min = ( i * j) % 2019
        if tmp_min < min:
            min = tmp_min
print(min)

Fixed submission:
L , R = map(int,input().split())
if R - L >= 2019 or L == 0:
    print("0")
    exit()
min = 2020

for i in range(L , R):
    for j in range(i + 1 , R + 1):
        tmp_min = ( i * j) % 2019
        if tmp_min < min:
            min = tmp_min
print(min)

Buggy python submission (verdict: Time Limit Exceeded):
L , R = map(int,input().split())
if R - L >= 2019:
    print("0")
min = 2020
for i in range(L , R):
    for j in range(i + 1 , R + 1):
        tmp_min = ( i * j) % 2019
        if tmp_min < min:
            min = tmp_min
print(min)

Fixed submission:
L , R = map(int,input().split())
if R - L >= 2019 or L == 0:
    print("0")
    exit()
min = 2020

for i in range(L , R):
    for j in range(i + 1 , R + 1):
        tmp_min = ( i * j) % 2019
        if tmp_min < min:
            min = tmp_min
print(min)
Buggy python submission (verdict: Runtime Error):
def gcd(a, b):
    while b != 0:
        a, b = b, a % b
    return a

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


A, B, C, D = map(int, input().split())
cnt = B - A + 1
all_range = B // C + B // D - B // lcm(C , D)
sub_end = A - 1
sub_range = sub_end // C + sub_end // D - sub_end // lcm(C , D)
print(cnt - (all_range - sub_range))

Fixed submission:
def solve():
    def gcd(x,y):
        while y != 0:
            x , y = y , x % y
        return x

    A,B,C,D = map(int ,input().split())
    A -= 1
    gcd_val = gcd(C , D)
    lcm_val = C * D // gcd_val
    ReduceFromB = B - (B // C + B // D - B // lcm_val)
    ReduceFromA = A - (A // C + A // D - A // lcm_val)
    print(ReduceFromB - ReduceFromA)

solve()

Buggy python submission (verdict: Time Limit Exceeded):
A , B , C ,D = map(int, input().split())
count = 0
for i in range(A,B + 1):
    flag = 0
    if i % C != 0 and i % D != 0:
        count += 1
print(count)


Fixed submission:
def solve():
    def gcd(x,y):
        while y != 0:
            x , y = y , x % y
        return x

    A,B,C,D = map(int ,input().split())
    A -= 1
    gcd_val = gcd(C , D)
    lcm_val = C * D // gcd_val
    ReduceFromB = B - (B // C + B // D - B // lcm_val)
    ReduceFromA = A - (A // C + A // D - A // lcm_val)
    print(ReduceFromB - ReduceFromA)

solve()
Buggy python submission (verdict: Runtime Error):
N , K = map(int ,input().split())
A = list(map(int , input().split()))
cnt = 0
right = 0
s = 0
for left in range(N):
    while right < N and s < K:
        s += A[right]
        right += 1
    if s < K:
        break
    else:
        cnt += len(A[right - 1:])
        s -= A[left]
print(cnt)

Fixed submission:
X , A = map(int,input().split())
if A > X:
  print("0")
else:
  print("10")
Buggy python submission (verdict: Runtime Error):
W , H ,x , y = map(int,input().split())
horizon = min(W * y , W * (H - y))
vertical = min(H * x , H * (W - x))
flag = False
# 直線上に存在すれば三角形の面積
if x == W or y == H or x == 0 or y == 0:
    print("{:.6f}".format((W * H) / 2) , end = ' ')
    print("0")
# 直線上にない時
else:
    print('{:.6f}'.format(max(horizon , vertical)) , end = ' ')
    #if horizon == vertical:
    if x == W//2 and y == H //2
        print("1")
    else:
        print('0')

Fixed submission:
W , H ,x , y = map(int,input().split())
'''
horizon = min(W * y , W * (H - y))
vertical = min(H * x , H * (W - x))
# 直線上に存在すれば三角形の面積
if x == W or y == H or x == 0 or y == 0:
    print("{:.6f}".format((W * H) / 2) , end = ' ')
    print("0")
# 直線上にない時、長方形の面積
else:
    print('{:.6f}'.format(max(horizon , vertical)) , end = ' ')
    if horizon == vertical:
        print("1")
    else:
        print("0")
'''

print("{:.6f}".format(W * H /2) , end = ' ')
if x + x  == W and y + y == H:
    print('1')
else:
    print("0")