Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
S = input()
N = len(S)

flag = True

for i in range(int(len(S)/2)):
  if S[i]!=S[-1-i]:
    flag = False
    breakat

if flag==True:
  right = int((N-1) / 2)
  subS = S[0:right]
  for i in range(int(len(subS)/2)):
    if subS[i]!=subS[-1-i]:
      flag = False
      break

if flag==True:
  left = int((N+3) / 2)
  subS = S[left-1:N]
  for i in range(int(len(subS)/2)):
    if subS[i]!=subS[-1-i]:
      flag = False

if flag:
  print("Yes")
else:
  print("No")



Fixed submission:
S = input()
N = len(S)

flag = True

for i in range(int(len(S)/2)):
  if S[i]!=S[-1-i]:
    flag = False
    break

if flag==True:
  right = int((N-1) / 2)
  subS = S[0:right]
  for i in range(int(len(subS)/2)):
    if subS[i]!=subS[-1-i]:
      flag = False
      break

if flag==True:
  left = int((N+3) / 2)
  subS = S[left-1:N]
  for i in range(int(len(subS)/2)):
    if subS[i]!=subS[-1-i]:
      flag = False
      break

if flag:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
N = input()
def DFS(s, mx):
    if len(s) == N:
        print(s)
        return
    c = 'a'
    while c <= chr(ord(mx)+1):
        t = s + c
        DFS(t, chr(max(ord(c), ord(mx))))
        c = chr(ord(c) + 1)
DFS("", chr(ord('a')-1))


Fixed submission:
N = int(input())
def DFS(s, mx):
    if len(s) == N:
        print(s)
        return
    c = 'a'
    while c <= chr(ord(mx)+1):
        t = s + c
        DFS(t, chr(max(ord(c), ord(mx))))
        c = chr(ord(c) + 1)
DFS("", chr(ord('a')-1))

Buggy python submission (verdict: Runtime Error):
def DFS(s, mx):
    if len(s) == N:
        print(s)
        return
    c = 'a'
    while c <= chr(ord(mx)+1):
        t = s + c
        DFS(t, chr(max(ord(c), ord(mx))))
        c = chr(ord(c) + 1)
DFS("", chr(ord('a')-1))

Fixed submission:
N = int(input())
def DFS(s, mx):
    if len(s) == N:
        print(s)
        return
    c = 'a'
    while c <= chr(ord(mx)+1):
        t = s + c
        DFS(t, chr(max(ord(c), ord(mx))))
        c = chr(ord(c) + 1)
DFS("", chr(ord('a')-1))
Buggy python submission (verdict: Runtime Error):
S=str(input())
print(S[0:3],end='')
print(8,end='')
print(S[4:],end='')

Fixed submission:
S=str(input())
print(S[0:3],end='')
print(8,end='')
print(S[4:],end='')
Buggy python submission (verdict: Runtime Error):
from decimal import Decimal
n,k = input().split()
n =int(n)
k =Decimal(k)
a = math.floor(n*k)
print(a)

Fixed submission:
from decimal import *
import math 
n,k = input().split()
n =Decimal(n)
k =Decimal(k)
a = math.floor(n*k)
print(a)

Buggy python submission (verdict: Runtime Error):
from decimal import Decimal

n,k = input().split()
n =int(n)
k =Decimal(k)


a = math.floor(n*k)
print(a)

Fixed submission:
from decimal import *
import math 
n,k = input().split()
n =Decimal(n)
k =Decimal(k)
a = math.floor(n*k)
print(a)
Buggy python submission (verdict: Runtime Error):
# In[]
s = [list(input()) for _ in range(h)]
dx = [0,1,0,-1]
dy = [1,0,-1,0]

count = 0

for y in range(h):
    for x in range(w):
        cnt = 0
        for k in range(4):
            ny = y + dy[k]
            nx = x + dx[k]
            if nx < 0 or nx>=w or ny < 0 or ny >=h:
                continue
            if s[y][x] == '#':
                if s[ny][nx] == '#':
                    cnt += 1
        if cnt == 0:
            print('No')
            exit()

                        
print('Yes')
               

Fixed submission:


h, w = map(int,input().split())
# In[]
s = [list(input()) for _ in range(h)]
dx = [0,1,0,-1]
dy = [1,0,-1,0]

count = 0

for y in range(h):
    for x in range(w):
        cnt = 0
        for k in range(4):
            ny = y + dy[k]
            nx = x + dx[k]
            if nx < 0 or nx>=w or ny < 0 or ny >=h:
                continue
            if s[y][x] == '.':
                cnt +=1
                continue
            if s[y][x] == '#':
                if s[ny][nx] == '#':
                    cnt += 1
        if cnt == 0:
            print('No')
            exit()

                        
print('Yes')
Buggy python submission (verdict: Runtime Error):
count = 0
n , t = map(int,input().split())
for i in range(n+1):
    for j in range(n+1-i):
        k = t - i- j
        #for k in range(n+1-i-j):#このfor分は不要、i,jで決まるから
            if 10000 * i + 5000 * j + 1000 * k == t:
                x,y,z = i, j, k
                print('{} {} {}'.format(x, y ,z))
                count += 1
if count == 0:
    print('{} {} {}'.format(-1 ,-1,-1))

Fixed submission:

n , t = map(int,input().split())
for i in range(n+1):
    for j in range(n+1-i):
        k = n - i- j

        #for k in range(n+1-i-j):#このfor分は不要、i,jで決まるから
        if 10000 * i + 5000 * j + 1000 * k == t:

            print('{} {} {}'.format(i, j ,k))
            exit(0)
print('{} {} {}'.format(-1 ,-1,-1))
Buggy python submission (verdict: Runtime Error):
s = input()
g1 = set("abcdefghijklmnopqrstuvwxyz")
g2 = set(s)
a = g1 -g2
print(sorted(list(a))[0])

Fixed submission:
s = input()
g1 = set("abcdefghijklmnopqrstuvwxyz")
g2 = set(s)
a = g1 -g2
if a == set():
    print('None')
    

else:
    print(sorted(list(a))[0])
Buggy python submission (verdict: Runtime Error):

n,m = map(int, input().split())
xy = [map(int,input().split()) for _ in range(m)]
x,y = [list(i) for i in zip(*xy)]
l = x + y


d = {}#辞書同士の追加はupdate

for i in n:
    d[i] =0
for i in l:
    if i not in d:
        d[i] = 0
    d[i] += 1

for j in range(1,n+1):
    print(d[j])

Fixed submission:

n,m = map(int, input().split())
xy = [map(int,input().split()) for _ in range(m)]
x,y = [list(i) for i in zip(*xy)]
l = x + y


d = {}#辞書同士の追加はupdate

for i in range(1,n+1):
    d[i] =0
for i in l:
    if i not in d:
        d[i] = 0
    d[i] += 1

for j in range(1,n+1):
    print(d[j])

Buggy python submission (verdict: Runtime Error):

n,m = map(int, input().split())
xy = [map(int,input().split()) for _ in range(m)]
x,y = [list(i) for i in zip(*xy)]
l = x + y


d = {}
for i in l:
    if i not in d:
        d[i] = 0
    d[i] += 1

for j in range(1,n+1):
    print(d[j])



Fixed submission:

n,m = map(int, input().split())
xy = [map(int,input().split()) for _ in range(m)]
x,y = [list(i) for i in zip(*xy)]
l = x + y


d = {}#辞書同士の追加はupdate

for i in range(1,n+1):
    d[i] =0
for i in l:
    if i not in d:
        d[i] = 0
    d[i] += 1

for j in range(1,n+1):
    print(d[j])

Buggy python submission (verdict: Runtime Error):
n,m = map(int, input().split())
xy = [map(int,input().split()) for _ in range(m)]
x,y = [list(i) for i in zip(*xy)]
l = x + y

print(l)

d = {}
for i in l:
    if i not in d:
        d[i] = 0
    d[i] += 1

for j in range(1,n+1):
    print(d[j])



Fixed submission:

n,m = map(int, input().split())
xy = [map(int,input().split()) for _ in range(m)]
x,y = [list(i) for i in zip(*xy)]
l = x + y


d = {}#辞書同士の追加はupdate

for i in range(1,n+1):
    d[i] =0
for i in l:
    if i not in d:
        d[i] = 0
    d[i] += 1

for j in range(1,n+1):
    print(d[j])
Buggy python submission (verdict: Runtime Error):

import numpy as np

n  = int(input())
a = np.array(list(map(int,input().split())))


ret = 0
i = 0
while i < len(a):
    j = i
    while j < n -1 and a[j] <= a[j+1]:
        j += 1
    h = i
    while h < n - i and a[h] >= a[h +1 ]:
        h += 1
        i = max(h,j) + 1
        ret += 1

print(ret)


Fixed submission:

import numpy as np

n  = int(input())
a = np.array(list(map(int,input().split())))


ret = 0
i = 0
while i < len(a):
    j = i
    while j < n -1 and a[j] <= a[j+1]:
        j += 1
    h = i
    while h < n - 1 and a[h] >= a[h +1]:
        h += 1
    i = max(h,j) + 1
    ret += 1

print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
k ,s = map(int,input().split())

count = 0
for x in range(k+1):
    for y in range(k+1):
        for z in range(k+1):
            if s == (x+y+z):
                count += 1

print(count)

Fixed submission:
k ,s = map(int,input().split())

count = 0
for x in range(k+1):
    for y in range(k+1):
        if (s - x - y) <= k and 0 <=(s-x-y):
            count+=1
print(count)
Buggy python submission (verdict: Runtime Error):
n, l = map(int,input().split())

s = [input() for _ in range(n)]
i = sorted(s)
print(''.join(i)

Fixed submission:
n, l = map(int,input().split())

s = [input() for _ in range(n)]
i = sorted(s)
print(''.join(i))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))

ans = 1

for i in a:
    ans = ans * i


if ans > 10**18:
    print("-1")
else:
    print(ans)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))

ans = 1
a.sort()

for i in a:
    if i == 0:
        ans = 0
        break
    elif ans > 10**18:
        ans = -1
        break
    else:
        ans = ans * i

if ans > 10**18:
    ans = -1
    
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import math

def f(a, b, x):
    return math.floor(a*x/b) - 5 * math.floor(x/b)

a, b, n  = map(int, input().split())
max = 0

for i in range(b):
    if i > n:
        break
    elif f(a, b, i) > max:
        max = f(a, b, i)

print(max)

Fixed submission:
import math

def f(a, b, x):
    return math.floor(a*x/b) - 5 * math.floor(x/b)

a, b, n  = map(int, input().split())
max = 0

if b <= n:
    print(f(a, b, b-1))
else:
    print(f(a, b, n))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

ans = []

for _ in range(n):
    s = input()

    if s in ans:
        pass
    else:
        ans.append(s)

print(len(ans))

Fixed submission:
n = int(input())

ans = {}

for _ in range(n):
    s = input()

    ans[s] = 1

print(len(ans))
Buggy python submission (verdict: Runtime Error):
from math import factorial
def comb(n,r=2):
    if n == 1 or n == 0:
        return 0
    return int(factorial(n) / factorial(r) / factorial(n - r))

n = int(input())
a = list(map(int, input().split()))

count = {}
ans = 0

for i in range(n):
    count.setdefault(a[i], 0)
    count[a[i]] += 1

for v in count.values():
    ans += comb(v)


for i in range(n):
    v = count[a[i]]
    print(ans - comb(v) + comb(v-1))

Fixed submission:
from math import factorial
def comb(n):
    if n == 1 or n == 0:
        return 0
    return int(n * (n-1) / 2 )

n = int(input())
a = list(map(int, input().split()))

count = {}
ans = 0

for i in range(n):
    count.setdefault(a[i], 0)
    count[a[i]] += 1

for v in count.values():
    ans += comb(v)


for i in range(n):
    v = count[a[i]]
    print(ans - comb(v) + comb(v-1))

Buggy python submission (verdict: Runtime Error):
from math import factorial
def comb(n,r=2):
    if n == 1:
        return 0
    return int(factorial(n) / factorial(r) / factorial(n - r))

n = int(input())
a = list(map(int, input().split()))

count = {}
ans = 0

for i in range(n):
    count.setdefault(a[i], 0)
    count[a[i]] += 1

for v in count.values():
    ans += comb(v)


for i in range(n):
    v = count[a[i]]
    print(ans - comb(v) + comb(v-1))

Fixed submission:
from math import factorial
def comb(n):
    if n == 1 or n == 0:
        return 0
    return int(n * (n-1) / 2 )

n = int(input())
a = list(map(int, input().split()))

count = {}
ans = 0

for i in range(n):
    count.setdefault(a[i], 0)
    count[a[i]] += 1

for v in count.values():
    ans += comb(v)


for i in range(n):
    v = count[a[i]]
    print(ans - comb(v) + comb(v-1))
Buggy python submission (verdict: Time Limit Exceeded):
s = input()
q = int(input())

up = 0

for _ in range(q):
    query = list(input().split())

    if query[0] == "1":
        if up:
            up = 0
        else:
            up = 1

    elif query[0] == "2":
        if query[1] == "1":
            if up:
                s = s + query[2]
            else:
                s = query[2] + s
        elif query[1] == "2":
            if up:
                s = query[2] + s
            else:
                s = s + query[2]

if up:
    s = s[::-1]
print(s)

Fixed submission:
s = input()
q = int(input())

up = 0

head = []
tail = []

for _ in range(q):
    query = list(input().split())

    if query[0] == "1":
        if up:
            up = 0
        else:
            up = 1

    elif query[0] == "2":
        if query[1] == "1":
            if up:
                tail.append(query[2])
            else:
                head.append(query[2])
        elif query[1] == "2":
            if up:
                head.append(query[2])
            else:
                tail.append(query[2])

head=''.join(map(str,head))
tail=''.join(map(str,tail))

ans = head[::-1] + s + tail

if up:
    ans = ans[::-1]
print(ans)

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

for _ in range(q):
    query = list(input().split())

    if query[0] == "1":
        s = s[::-1]

    elif query[0] == "2":
        if query[1] == "1":
            s = query[2] + s
        elif query[1] == "2":
            s = s + query[2]

print(s)

Fixed submission:
s = input()
q = int(input())

up = 0

head = []
tail = []

for _ in range(q):
    query = list(input().split())

    if query[0] == "1":
        if up:
            up = 0
        else:
            up = 1

    elif query[0] == "2":
        if query[1] == "1":
            if up:
                tail.append(query[2])
            else:
                head.append(query[2])
        elif query[1] == "2":
            if up:
                head.append(query[2])
            else:
                tail.append(query[2])

head=''.join(map(str,head))
tail=''.join(map(str,tail))

ans = head[::-1] + s + tail

if up:
    ans = ans[::-1]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n= int(input())
s = {}

for _ in range(n):
    t = input()
    s.setdefault(t, 1)
    s[t] += 1

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

max_k_list.sort()

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

Fixed submission:
n= int(input())
s = {}

for _ in range(n):
    t = input()
    s.setdefault(t, 1)
    s[t] += 1

ans = []
m = max(s.values())
for k, v in s.items():
    if v == m:
        ans.append(k)

for m in sorted(ans):
    print(m)

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

for i in range(n):
    t = input()
    s.setdefault(t, 1)
    s[t] += 1

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

max_k_list.sort()

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

Fixed submission:
n= int(input())
s = {}

for _ in range(n):
    t = input()
    s.setdefault(t, 1)
    s[t] += 1

ans = []
m = max(s.values())
for k, v in s.items():
    if v == m:
        ans.append(k)

for m in sorted(ans):
    print(m)

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

for i in range(n):
    t = input()
    s.setdefault(t, 1)
    s[t] += 1

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

max_k_list.sort()

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

Fixed submission:
n= int(input())
s = {}

for _ in range(n):
    t = input()
    s.setdefault(t, 1)
    s[t] += 1

ans = []
m = max(s.values())
for k, v in s.items():
    if v == m:
        ans.append(k)

for m in sorted(ans):
    print(m)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
p = list(map(int, input().split()))
ans = 0

for i in range(n):
    ans += 1
    for j in range(i):
        if p[i] > p[j]:
            ans -= 1
            break

print(ans)

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

for i in range(n):
    if p[i] <= min:
        min = p[i]
        ans += 1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
p = list(map(int, input().split()))
ans = 0

for i in range(n):
    ans += 1
    for j in range(i):
        if p[i] > p[j]:
            ans -= 1
            break

print(ans)

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

for i in range(n):
    if p[i] <= min:
        min = p[i]
        ans += 1

print(ans)
Buggy python submission (verdict: Runtime Error):

check = {}
error = {}

ans_ac = 0
ans_wa = 0

for i in range(m):
    p,s = map(str, input().split())
    p = int(p)
    if p in check:
        pass
    else:
        if s == "WA":
            if p in error:
                error[p] += 1
            else:
                error[p] = 1
        else:
            if p in check:
                check[p] += 1
            else:
                check[p] = 1
            if p in error:
                ans_wa += error[p]
            ans_ac += 1
print(str(ans_ac) + " " + str(ans_wa) )

Fixed submission:
n,m = map(int, input().split())

check = {}
error = {}

ans_ac = 0
ans_wa = 0

for i in range(m):
    p,s = map(str, input().split())
    p = int(p)
    if p in check:
        pass
    else:
        if s == "WA":
            if p in error:
                error[p] += 1
            else:
                error[p] = 1
        else:
            if p in check:
                check[p] += 1
            else:
                check[p] = 1
            if p in error:
                ans_wa += error[p]
            ans_ac += 1
print(str(ans_ac) + " " + str(ans_wa) )
Buggy python submission (verdict: Runtime Error):
import math

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

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

print(lcm(a, b))

Fixed submission:
import math

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

def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

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

print(lcm(a, b))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

ans = 0

for i in range(N-1):
    for j in range(i+1,N):
        ans += A[i] ^ A[j]

print(ans%1000000007)

Fixed submission:
import numpy as np

N = int(input())
arr = np.array([int(i) for i in input().split()])

ans = 0

for i in range(60):
    c1 = np.count_nonzero(arr & 1)
    ans += 2 ** i * c1 * (N-c1)
    arr >>= 1


print(ans%1000000007)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

ans = 0

for i in range(n-1):
    ans += i+1

print(ans)

Fixed submission:
n = int(input())

print((n-1)*n//2)
Buggy python submission (verdict: Runtime Error):
import math

n = int(input())

check = {}
ans = 0

for _ in range(n):
    word = sorted(input())
    new_word = ''.join(list(sorted(word)))
    check.setdefault(new_word, 0)
    check[new_word] += 1

for k in check:
    if check[k] >= 2:
        ans += int(math.factorial(check[k])/2)

print(ans)

Fixed submission:
import math

n = int(input())

check = {}
ans = 0

for _ in range(n):
    word = sorted(input())
    new_word = ''.join(list(word))
    check.setdefault(new_word, 0)
    check[new_word] += 1

for k in check:
    if check[k] >= 2:
        ans += int(math.factorial(check[k])/(math.factorial(check[k]-2)*2))

print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
s = list(map(int, input().split())
new_s = sorted(s)
count = 0

for i in range(N):
    if s[i]-new_s[i]!=0:
        count += 1

if count>2:
    print('NO')
else:
    print('YES')

Fixed submission:
N = int(input())
s = list(map(int, input().split()))
new_s = sorted(s)
count = 0

for i in range(N):
    if s[i]-new_s[i]!=0:
        count += 1

if count>2:
    print('NO')
else:
    print('YES')
Buggy python submission (verdict: Runtime Error):
x,y,z = map(int,input().stlip())
x = int(x)
y = int(y)
z = int(z)
if x*y > z:
  print(x*y)
else:
  print(z)


Fixed submission:
x,y,z = map(int,input().split())
x = int(x)
y = int(y)
z = int(z)
if x*y < z:
  print(x*y)
else:
  print(z)

Buggy python submission (verdict: Runtime Error):
x,y,z = map(int,input().stlip())
x = int(x)
y = int(y)
z = int(z)
if x＊y > z:
  print(x＊y)
else:
  print(z)


Fixed submission:
x,y,z = map(int,input().split())
x = int(x)
y = int(y)
z = int(z)
if x*y < z:
  print(x*y)
else:
  print(z)

Buggy python submission (verdict: Runtime Error):
x,y,z = input().split()
x = int(x)
y = int(y)
z = int(z)
if x＊y > z:
  print(x＊y)
else:
  print(z)


Fixed submission:
x,y,z = map(int,input().split())
x = int(x)
y = int(y)
z = int(z)
if x*y < z:
  print(x*y)
else:
  print(z)

Buggy python submission (verdict: Runtime Error):
x,y,z = input().stlip()
x = int(x)
y = int(y)
z = int(z)
if x＊y > z:
  print(x＊y)
else:
  print(z)


Fixed submission:
x,y,z = map(int,input().split())
x = int(x)
y = int(y)
z = int(z)
if x*y < z:
  print(x*y)
else:
  print(z)
Buggy python submission (verdict: Runtime Error):
import math
a, b, c, d = map(int, input().split())

p = math.floor((c * d) / math.gcd(c, d))

a_under = a-1

ans = (b - math.floor(b/c) - math.floor(b/d) + math.floor(b/p)) - (a_under - math.floor(a_under/c) - math.floor(a_under/d) + math.floor(a_under/p))

print(ans)

Fixed submission:
from fractions import gcd
a, b, c, d = map(int, input().split())

p = (c * d) // gcd(c, d)

a_under = a-1

ans = (b - b//c - b//d + b//p) - (a_under - a_under//c - a_under//d + a_under//p)

print(ans)

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

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

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

ans = 0
p = lcm(c, d)

a_under = a-1

ans = (b - math.floor(b/c) - math.floor(b/d) + math.floor(b/p)) - (a_under - math.floor(a_under/c) - math.floor(a_under/d) + math.floor(a_under/p))

print(ans)

Fixed submission:
from fractions import gcd
a, b, c, d = map(int, input().split())

p = (c * d) // gcd(c, d)

a_under = a-1

ans = (b - b//c - b//d + b//p) - (a_under - a_under//c - a_under//d + a_under//p)

print(ans)

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

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

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

ans = 0
p = lcm(c, d)

print(p)

a_under = a-1

ans = (b - math.floor(b/c) - math.floor(b/d) + math.floor(b/p)) - (a_under - math.floor(a_under/c) - math.floor(a_under/d) + math.floor(a_under/p))

print(ans)

Fixed submission:
from fractions import gcd
a, b, c, d = map(int, input().split())

p = (c * d) // gcd(c, d)

a_under = a-1

ans = (b - b//c - b//d + b//p) - (a_under - a_under//c - a_under//d + a_under//p)

print(ans)

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

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

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

ans = 0
p = lcm(c, d)

print(p)

a_under = a-1

ans = (b - math.floor(b/c) - math.floor(b/d) + math.floor(b/p)) - (a_under - math.floor(a_under/c) - math.floor(a_under/d) + math.floor(a_under/p))

print(ans)

Fixed submission:
from fractions import gcd
a, b, c, d = map(int, input().split())

p = (c * d) // gcd(c, d)

a_under = a-1

ans = (b - b//c - b//d + b//p) - (a_under - a_under//c - a_under//d + a_under//p)

print(ans)

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

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

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

ans = 0
p = lcm(c, d)

print(p)

a_under = a-1

ans = (b - b // c - b // d + b // p) - (a_under - a_under // c - a_under // d + a_under//p)

print(ans)

Fixed submission:
from fractions import gcd
a, b, c, d = map(int, input().split())

p = (c * d) // gcd(c, d)

a_under = a-1

ans = (b - b//c - b//d + b//p) - (a_under - a_under//c - a_under//d + a_under//p)

print(ans)
Buggy python submission (verdict: Runtime Error):
import math
n = int(input())
a = list(map(int, input().split()))

ans = 0

for i in range(1, len(a)):
    if i == 1:
        ans = math.gcd(a[0], a[1])
    else:
        ans = math.gcd(ans, a[i])

print(ans)

Fixed submission:
import fractions
n = int(input())
a = list(map(int, input().split()))

ans = 0

for i in range(1, len(a)):
    if i == 1:
        ans = fractions.gcd(a[0], a[1])
    else:
        ans = fractions.gcd(ans, a[i])

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
ans = 1
for i in range(0, n):
    ans *= a[i]
if ans <= 1_000_000_000_000_000_000:
    print(ans)
else:
    print(-1)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
ans = 1
a.sort()
for i in range(0, n):
    if ans * a[i] <= 1_000_000_000_000_000_000:
        ans *= a[i]
    else:
        ans = 1_000_000_000_000_000_001
        break
if ans <= 1_000_000_000_000_000_000:
    print(ans)
else:
    print(-1)