Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n = int(input())
m = int(input())
l1 = []
for i in range (m):
    ai = int(input())
    l1.append(ai)
s = sum(l1)
r = (n - s)
if r >= 0:
    print(r)
else:
    print("-1")

Fixed submission:
n, m = map(int, input().split())
ai = map(int, input().split())
li = map(int, list(ai))
s = sum(li)
r = (n - s)
if r >= 0:
    print(r)
else:
    print("-1")

Buggy python submission (verdict: Runtime Error):
n = int(input())
m = int(input())
l1 = []
for i in range (m):
    a1 = int(input())
    l1.append(a1)
s = sum(l1)
r = n - s
if r >= 0:
    print(r)
else:
    print("-1")

Fixed submission:
n, m = map(int, input().split())
ai = map(int, input().split())
li = map(int, list(ai))
s = sum(li)
r = (n - s)
if r >= 0:
    print(r)
else:
    print("-1")

Buggy python submission (verdict: Runtime Error):
n = int(input())
m = int(input())
l1 = []
for i in range (m):
    a1 = int(input())
    l1.append(a1)
s = sum(l1)
r = n - s
print(r)

Fixed submission:
n, m = map(int, input().split())
ai = map(int, input().split())
li = map(int, list(ai))
s = sum(li)
r = (n - s)
if r >= 0:
    print(r)
else:
    print("-1")

Buggy python submission (verdict: Runtime Error):
n = int(input())
m = int(input())
l1 = []
for i in range (m):
    a1 = int(input())
    l1.append(a1)
s = sum(l1)
result = n - s
print(result)

Fixed submission:
n, m = map(int, input().split())
ai = map(int, input().split())
li = map(int, list(ai))
s = sum(li)
r = (n - s)
if r >= 0:
    print(r)
else:
    print("-1")
Buggy python submission (verdict: Runtime Error):
N = []
for n in range (3):
    n = int(input())
if n == 7:
    print('Yes')
else:
    print('No')

Fixed submission:
num = int(input())
N = [int(i) for i in str(num)]
if N[0] == 7:
    print("Yes")
elif N[1] == 7:
    print("Yes")
elif N[2] == 7:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
N = []
for n in range (3):
    n = int(input())
if n == 7:
    print('Yes')
else:
    print('No')

Fixed submission:
num = int(input())
N = [int(i) for i in str(num)]
if N[0] == 7:
    print("Yes")
elif N[1] == 7:
    print("Yes")
elif N[2] == 7:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
a, b, c = input().split()
print(c, a, b)

Fixed submission:
a, b, c = input().split()
print(c, a, b)

Buggy python submission (verdict: Runtime Error):
a, b, c = input().split()
print(f'{c},{a},{b}')

Fixed submission:
a, b, c = input().split()
print(c, a, b)

Buggy python submission (verdict: Runtime Error):
a, b, c = input().split()
print(f'{c},{a},{b}')


Fixed submission:
a, b, c = input().split()
print(c, a, b)
Buggy python submission (verdict: Runtime Error):
s = str(input())     
if (s[2] == s[3] and s[4] == s[5]):
    print("Yes")
else:
    print("No")

Fixed submission:
s = str(input())
if s[2] == s[3] and s[4] == s[5]:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
S = str(input())
if S[2] == S[3] and S[4] == S[5]
   rint("Yes")
else:
   print("No")

Fixed submission:
s = str(input())
if s[2] == s[3] and s[4] == s[5]:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
s = str(input())

if s[2] == s[3] and s[4] == s[5]:
    print("Yes")
else:
    print("No")


Fixed submission:
s = str(input())
if s[2] == s[3] and s[4] == s[5]:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
s = str(input("Enter a string: "))

if s[2] == s[3] and s[4] == s[5]:
    print("Yes")
else:
    print("No")


Fixed submission:
s = str(input())
if s[2] == s[3] and s[4] == s[5]:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
import sympy
N = int(input())

def enzan(k, yakusu):
    return(k * yakusu)


# def make_divisor_list(num):
#     if num == 1:
#         return 1
#     else:
#         cnt = 2
#         # divisor_list = []
#         # divisor_list.append(1)
#         for i in range(2, num // 2 + 1):
#             if num % i == 0:
#                 # divisor_list.append(i)
#                 cnt += 1
#         # divisor_list.append(num)

#         # return len(divisor_list)
#         return cnt


# def num_divisors_table(n):
#     table = [0] * (n + 1)

#     for i in range(1, n + 1):
#         for j in range(i, n + 1, i):
#             table[j] += 1

#     return table


wa = 0
for k in range(1, N+1):
    wa += enzan(k, sympy.divisor_count(k))

print(wa)

# print(make_divisor_list(4))




Fixed submission:
N = int(input())

ans = 0
for  i in range(1, N + 1):
    ans += i * ((N // i) * ((N // i) + 1))/2

print((int)(ans))

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

def enzan(k, yakusu):
    return(k * yakusu)


def make_divisor_list(num):
    if num < 1:
        return 0
    elif num == 1:
        return 1
    else:
        divisor_list = []
        divisor_list.append(1)
        for i in range(2, num // 2 + 1):
            if num % i == 0:
                divisor_list.append(i)
        divisor_list.append(num)

        return len(divisor_list)


wa = 0
for k in range(1, N+1):
    wa += enzan(k, make_divisor_list(k))

print(wa)

# print(make_divisor_list(4))

Fixed submission:
N = int(input())

ans = 0
for  i in range(1, N + 1):
    ans += i * ((N // i) * ((N // i) + 1))/2

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

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

cnt = 0
for (c, m) in collections.Counter(s).items():
    ccnt += m * (m - 1) / 2
    
print(cnt)

Fixed submission:
import collections  

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

cnt = 0
for (c, m) in collections.Counter(s).items():
    cnt += m * (m - 1) // 2
    
print(cnt)

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

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

def f(a):
    if a == 0:
        return 1
    else:
        return a * f(a - 1)

cnt = 0
for (c, m) in collections.Counter(s).items():
    if 1 < m:
        combi = f(m - 1)
        cnt += combi
    
print(cnt)

Fixed submission:
import collections  

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

cnt = 0
for (c, m) in collections.Counter(s).items():
    cnt += m * (m - 1) // 2
    
print(cnt)

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

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

def f(a):
    if a == 0:
        return 1
    else:
        return a * f(a - 1)
  
cnt = 0
for (c, m) in collections.Counter(s):
	combi = f(m - 1)
    if combi != 1:
        cnt += combi
    
print(cnt)

Fixed submission:
import collections  

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

cnt = 0
for (c, m) in collections.Counter(s).items():
    cnt += m * (m - 1) // 2
    
print(cnt)

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

n = int(input())

s = []
for i in range(n):
s.append(str(sorted(input())))

def f(a):
  if a == 0:
    return 1
  else:
    return a * f(a - 1)
  
cnt = 0
for (c, m) in collections.Counter(s):
	combi = f(m - 1)
    if combi != 1:
      cnt += combi
    
print(cnt)

Fixed submission:
import collections  

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

cnt = 0
for (c, m) in collections.Counter(s).items():
    cnt += m * (m - 1) // 2
    
print(cnt)

Buggy python submission (verdict: Runtime Error):
n = int(input())

s = []
for i in range(n):
  s.append(sorted(input()))

print(n - len(set(s)))

Fixed submission:
import collections  

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

cnt = 0
for (c, m) in collections.Counter(s).items():
    cnt += m * (m - 1) // 2
    
print(cnt)

Buggy python submission (verdict: Runtime Error):
n = int(input())

s = []
for i in range(n):
  s.append(sorted(input())

print(n - len(set(s)))

Fixed submission:
import collections  

n = int(input())

s = []
for i in range(n):
    s.append(str(sorted(input())))

cnt = 0
for (c, m) in collections.Counter(s).items():
    cnt += m * (m - 1) // 2
    
print(cnt)
Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split())
i = 0
count = 1
while true:
  if b <= count:
    break
  count = count + a - 1
  i += 1
print(i)


Fixed submission:

a, b = map(int, input().split())
i = 0
count = 1
while True:
    if b <= count:
        break
    count = count + a - 1
    i += 1
print(i)
Buggy python submission (verdict: Runtime Error):
w,h,x,y = map(int, input().split())
if w//2==x and h//2==y and w%2==0 and h%2==0:
	print(w*h/2., 1)
else*
	print(w*h/2., 0)
	

Fixed submission:
w,h,x,y = map(int, input().split())
if w//2==x and h//2==y and w%2==0 and h%2==0:
	print(w*h/2., 1)
else:
	print(w*h/2., 0)

Buggy python submission (verdict: Runtime Error):
w,h,x,y = map(int, input().split())
if w//2==x and h//2==y:
	print(w*h/2, 1)
else*
	print(w*h/2, 0)
	

Fixed submission:
w,h,x,y = map(int, input().split())
if w//2==x and h//2==y and w%2==0 and h%2==0:
	print(w*h/2., 1)
else:
	print(w*h/2., 0)
Buggy python submission (verdict: Runtime Error):
P, Q, R = map(int, input().split())
print(min(min(P + Q, PL R), Q + R)

Fixed submission:
P, Q, R = map(int, input().split())
print(min(min(P + Q , P + R), Q + R))
Buggy python submission (verdict: Runtime Error):
def product(a,b):
    return a*b
    
a=int(input())
b=int(input())
print(product(a,b))

Fixed submission:
def product(a,b):
    return a*b
    
a,b=map(int,input().split())
print(product(a,b))
Buggy python submission (verdict: Runtime Error):
a, b, c, d = map(int, input().split())
e = []
for i in list[a, b]:
    for j in list[c, d]:
        e += [i * j]

print(max(e))

Fixed submission:
a, b, c, d = map(int, input().split())
e = []
for i in [a, b]:
    for j in [c, d]:
        e += [i * j]

print(max(e))

Buggy python submission (verdict: Time Limit Exceeded):
a, b, c, d = map(int, input().split())
e = []
for i in range(a, b + 1):
    for j in range(c, d + 1):
        e += [i * j]
print(max(e))

Fixed submission:
a, b, c, d = map(int, input().split())
e = []
for i in [a, b]:
    for j in [c, d]:
        e += [i * j]

print(max(e))

Buggy python submission (verdict: Runtime Error):
a, b, c, d = map(int, input().split())
a = []
for i in range(a, b + 1):
    for j in range(c, d + 1):
        a += i * j
max(a)

Fixed submission:
a, b, c, d = map(int, input().split())
e = []
for i in [a, b]:
    for j in [c, d]:
        e += [i * j]

print(max(e))

Buggy python submission (verdict: Runtime Error):
a, b, c, d = map(int, input().split())
for i in range(a, b + 1):
    for j in range(c, d + 1):
        print(max(i * j))

Fixed submission:
a, b, c, d = map(int, input().split())
e = []
for i in [a, b]:
    for j in [c, d]:
        e += [i * j]

print(max(e))
Buggy python submission (verdict: Runtime Error):
s = str(input())
t = str(input())

slen = len(s)
tlen = len(t)

i = tlen
n = 0
a = 0
tuu = [0] * tlen
ans = [0] * tlen
max_count = 0
while i <= slen:
    ps = s[ n : i + tlen -1 ]
    count = 0
    for j in range(tlen):
        if ps[j] == t[j]:
            count += 1
            tuu[j] = "True"
#             print("通った")
#     print(count)
    if max_count < count:
        max_count = count
#         print("通った")
        a = n
        ans = tuu
        
#     print(a)    
    n += 1
    i += 1
# print(a)
# print(ans)

for h in range(tlen):
    if ans[h] == "True":
        pass
    else:
        t[h] = s[a + h]  

Fixed submission:
s = str(input())
t = str(input())

slen = len(s)
tlen = len(t)

i = tlen
n = 0
a = 0
# tuu = [0] * tlen
# ans = [0] * tlen
max_count = 0
while i <= slen:
    ps = s[ n : i + tlen -1 ]
    count = 0
    for j in range(tlen):
        if ps[j] == t[j]:
            count += 1
#             tuu[j] = "True"
#             print("通った")
#     print(count)
    if max_count < count:
        max_count = count
    n += 1
    i += 1
print(tlen - max_count)
Buggy python submission (verdict: Runtime Error):
N = int( input())
a = list(map(int, input().split(' ')))
l = [0]*N
numpy.sort(a)
for i in a:
    l[i-1] += 1
for i in l:
    print(i)

Fixed submission:
import numpy
N = int( input())
a = list(map(int, input().split(' ')))
l = [0]*N
numpy.sort(a)
for i in a:
    l[i-1] += 1
for i in l:
    print(i)

Buggy python submission (verdict: Runtime Error):
N = int( input())
a = list(map(int, input().split(' ')))
l = [0]*N
numpy.sort(a)
for i in a:
  l[i-1] += 1
for i in l:
    print(i)

Fixed submission:
import numpy
N = int( input())
a = list(map(int, input().split(' ')))
l = [0]*N
numpy.sort(a)
for i in a:
    l[i-1] += 1
for i in l:
    print(i)
Buggy python submission (verdict: Runtime Error):
N,K = map(int, input().split(' '))
x = N % K
x1 = K - x
if x > x1:
  print(x1)
else:
  print(x)

Fixed submission:
X, Y, Z = map(int, input().split(' '))
print(Z,X,Y)

Buggy python submission (verdict: Runtime Error):
N,K = map(int, input().split(' '))
x = N % K
x1 = K - x
if x > x1:
  print(x1)
else:
  print(x)

Fixed submission:
X, Y, Z = map(int, input().split(' '))
print(Z,X,Y)
Buggy python submission (verdict: Runtime Error):
for i in range(K-1):
  x = q.get()
  if x%10 != 0:
    q.put(10*x + (x%10 -1) )
  q.put(10*x+x%10)
  if x%10 != 9:
    q.put(10*x + (x %10 + 1) )
print(q.get())

Fixed submission:
import queue
K = int(input())
q = queue.Queue()
for i in range(1,10):
  q.put(i)
    
    
for i in range(K-1):
  x = q.get()
  if x%10 != 0:
    q.put(10*x + (x%10 -1) )
  q.put(10*x+x%10)
  if x%10 != 9:
    q.put(10*x + (x %10 + 1) )
print(q.get())

Buggy python submission (verdict: Runtime Error):
for i in range(K-1):
  x = q.get()
  print(x)
  if x%10 != 0:
    q.put(10*x + (x%10 -1) )
  q.put(10*x+x%10)
  if x%10 != 9:
    q.put(10*x + (x %10 + 1) )
print(q.get())

Fixed submission:
import queue
K = int(input())
q = queue.Queue()
for i in range(1,10):
  q.put(i)
    
    
for i in range(K-1):
  x = q.get()
  if x%10 != 0:
    q.put(10*x + (x%10 -1) )
  q.put(10*x+x%10)
  if x%10 != 9:
    q.put(10*x + (x %10 + 1) )
print(q.get())
Buggy python submission (verdict: Time Limit Exceeded):
X, Y, A, B, C = list(map(lambda x: int(x) ,input().split(" ")))
li = []
p = list(map(lambda x: int(x) ,input().split(" ")))
q = list(map(lambda x: int(x) ,input().split(" ")))
r = list(map(lambda x: int(x) ,input().split(" ")))

p.sort(reverse=True)
q.sort(reverse=True)
r.sort(reverse=True)
p = p[:X]
q = q[:Y]

for j, y  in enumerate(r):
  for i, x in enumerate(p):
    if x > y:
      continue
    p[i] = y
    r[j] = x
for j, y  in enumerate(r):
  
  for i, x in enumerate(q):
    if x > y:
      continue
    q[i] = y
    r[j] = x
print(sum(p) + sum(q))



Fixed submission:
X, Y, A, B, C = list(map(lambda x: int(x) ,input().split(" ")))
li = []
p = list(map(lambda x: int(x) ,input().split(" ")))
q = list(map(lambda x: int(x) ,input().split(" ")))
r = list(map(lambda x: int(x) ,input().split(" ")))

p.sort(reverse=True)
q.sort(reverse=True)
r.sort(reverse=True)
p = p[:X]
q = q[:Y]
r.extend(p)
r.extend(q)
r.sort(reverse=True)
print(sum(r[:X+Y]))
Buggy python submission (verdict: Runtime Error):
l = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
k = int (input())
 
print(l[k+1])

Fixed submission:
l = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
k = int (input())
 
print(l[k-1])

Buggy python submission (verdict: Runtime Error):
l = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
k = int (input())

print(l[k])

Fixed submission:
l = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
k = int (input())
 
print(l[k-1])

Buggy python submission (verdict: Runtime Error):
l = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
k = input()
println(l[k])

Fixed submission:
l = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
k = int (input())
 
print(l[k-1])
Buggy python submission (verdict: Runtime Error):
N,M = input().split(" ")
if N > M:
  str = str(M)
  print(str*N)
else:
  str = str(N)
  print(str*M)

Fixed submission:
N,M = input().split(" ")
if N > M:
  str = M
  print(str*int(N))
else:
  str = N
  print(str*int(M))

Buggy python submission (verdict: Runtime Error):
N,M = input().split(" ")
if N > M:
  
    str = str(M)
    print(str*N)

else:
    str = str(N)
    print(str*M)




Fixed submission:
N,M = input().split(" ")
if N > M:
  str = M
  print(str*int(N))
else:
  str = N
  print(str*int(M))
Buggy python submission (verdict: Runtime Error):
import bisect
N = int(input())
L = [int(i) for i in input().split(' ')]
L.sort()

sum = 0
for i,k in enumerate(L):
  for j in range(i+1, N):
    for l in range(j+1, N):
      if L[l] < L[j] + k:
     　 print(bisect.bisect_right(L,L[j] + k))
        
        sum += 1
      else:
        break;
print(sum)

Fixed submission:
import bisect
N = int(input())
L = [int(i) for i in input().split(' ')]
L.sort()

sum = 0
for i,k in enumerate(L):
  for j in range(i+1, N):
    sum += bisect.bisect_left(L,L[j] + k) - j - 1


print(sum)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
L = [int(i) for i in input().split(' ')]
L.sort()

sum = 0
for i,k in enumerate(L):
  for j in range(i+1, N):
    for l in range(j+1, N):
      if L[l] < L[j] + k:
        sum += 1
      else:
        break;
print(sum)

Fixed submission:
import bisect
N = int(input())
L = [int(i) for i in input().split(' ')]
L.sort()

sum = 0
for i,k in enumerate(L):
  for j in range(i+1, N):
    sum += bisect.bisect_left(L,L[j] + k) - j - 1


print(sum)
Buggy python submission (verdict: Runtime Error):
import sys
import numpy as np
import bisect
s = input()
t = input()



count = 0
s_len = len(s)
s_list = np.zeros(len(s))
t_list = []*len(t)
indexes = []

for i in range(26):
  
  indexes.append([j for j, x in enumerate(s) if x == chr(i + ord('a')) ])
  

for i,k in enumerate(t):

  index = indexes[ord(k)-97]
  
  if len(indexes) == 0:
    print(-1)
    sys.exit(0)
  else:
    t_list.insert(i,index)
    


pre = -1
for i in range(len(t)):
  
  #high = [j  for j in t_list[i] if j > pre]
  high = bisect.bisect_left(t_list[i], pre) 

  if high >= len(t_list[i]):
    
    count += s_len - pre  + t_list[i][0]
    pre = t_list[i][0] 
  else:
    
    count += t_list[i][high] - pre 
    pre = t_list[i][high]

print(count)

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

if a < 3200:
  print('red')
else:
  print(s)
Buggy python submission (verdict: Runtime Error):
n = int(input())
v = list(map(int, input().split()))

v.sort()

mean = v[0]
for i in v:
  mean = (mean + v)/2

  
print(mean)

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

v.sort()

mean = v[0]
for i in v:
  mean = (mean + i)/2

  
print(mean)
Buggy python submission (verdict: Runtime Error):
s = list(map(int, input().split(' ')))
k = s[0]
x = s[1]

min = −1000000
max =  1000000


if x-k+1 > min:
  min = x-k+1

if x+k-1 < max:
  max = x+k-1

for i in range(min,max)
	print(i,end=' ')
print()
 

Fixed submission:
s = list(map(int, input().split(' ')))
k = s[0]
x = s[1]

min = 1000000*-1
max =  1000000


if x-k+1 > min:
  min = x-k+1

if x+k < max:
  max = x+k

for i in range(min,max):
	print(i,end=' ')
print()

Buggy python submission (verdict: Runtime Error):
s = list(map(int, input().split(' ')))
k = s[0]
x = s[1]

min = −1000000
max =  1000000


if x-k+1 > min:
  min = x-k+1

if x+k-1 < max:
  max = x+k-1

for i in range(min,max)
	print(i,end=' ')
print()
 

Fixed submission:
s = list(map(int, input().split(' ')))
k = s[0]
x = s[1]

min = 1000000*-1
max =  1000000


if x-k+1 > min:
  min = x-k+1

if x+k < max:
  max = x+k

for i in range(min,max):
	print(i,end=' ')
print()
Buggy python submission (verdict: Runtime Error):


ab = list(map(int, input().sprit()))
a = ab[0]
b = ab[1]

if (a+b)%2 == 1:
  print("IMPOSSIBLE")
  return 0

print((a+b)/2)

Fixed submission:
import sys

ab = list(map(int, input().split()))
a = ab[0]
b = ab[1]

if (a+b)%2 == 1:
  print("IMPOSSIBLE")
  sys.exit(0)

print(int((a+b)/2))
Buggy python submission (verdict: Runtime Error):
X, Y = map(int, input().split())

add = 0
flug =0

for i in range(X):
    add = i*4 + (X-i)*2
    if add == Y:
        print('Yes')
        flag = 1
        break

if flag == 0:
    print('No')

Fixed submission:
X, Y = map(int, input().split())

add = 0
flag =0

for i in range(X+1):
    add = i*4 + (X-i)*2
    if add == Y:
        print('Yes')
        flag = 1
        break

if flag == 0:
    print('No')

Buggy python submission (verdict: Runtime Error):
X, Y = map(int,input().split())

sum = 0
flug =0

for i in range(X):
    sum = i*4 + (X-i)*2
    if sum == Y:
        print('Yes')
        flag = 1
        break

if flag == 0:
    print('No')

Fixed submission:
X, Y = map(int, input().split())

add = 0
flag =0

for i in range(X+1):
    add = i*4 + (X-i)*2
    if add == Y:
        print('Yes')
        flag = 1
        break

if flag == 0:
    print('No')

Buggy python submission (verdict: Runtime Error):
X, Y = map(int,input().split())

sum = 0
flug =0

for i in range(X):
    sum = i*4 + (X-i)*2
    if sum == Y:
        print('Yes')
        flag = 1
        break

if flag == 0:
    print('No')

Fixed submission:
X, Y = map(int, input().split())

add = 0
flag =0

for i in range(X+1):
    add = i*4 + (X-i)*2
    if add == Y:
        print('Yes')
        flag = 1
        break

if flag == 0:
    print('No')
Buggy python submission (verdict: Runtime Error):
import math

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

multi = 1
i = 0

if A[-1]==0:
    multi = 0

while A[-1] < 2:
    A.pop()
    i+=1

for n in range(N-i):
    if multi == 0:
        break
    multi = multi*A[n]

print(multi)

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

multi = 1

if A[-1]==0:
    print('0')
else:
    for n in range(N):
        multi = multi*A[n]
        if multi>10**18:
            multi=-1
            break
        
    print(multi)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

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

i=0

for i in range(N):
    print(A.count(i+1))
    if A.count(i+1)>0:
        A.remove(i+1)


Fixed submission:
import collections

N = int(input())

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

c = collections.Counter(A)

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

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

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

i=0

while i != N:
    print(A.count(i+1))
    i +=1


Fixed submission:
import collections

N = int(input())

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

c = collections.Counter(A)

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

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

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

sum = 0
for i in range(N):
    print(A.count(i+1))
    sum += A.count(i+1)
    if sum == N:
        break

Fixed submission:
import collections

N = int(input())

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

c = collections.Counter(A)

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

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

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

for i in range(N):
    print(A.count(i+1))

Fixed submission:
import collections

N = int(input())

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

c = collections.Counter(A)

for i in range(N):
    print(c[i+1])
Buggy python submission (verdict: Runtime Error):
a,b,c,d=map(int,input().split())

if a < 0:
    a = -a
if b < 0:
    b = -b
if c < 0:
    c = -c
if d < 0:
    d = -d

if a <= b:
    x = b
if c <= d:
    y = d

print(x*y)

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

x1 = a*c
x2 = a*d
x3 = b*c
x4 = b*d

z = x1
if z < x2:
    z = x2
if z < x3:
    z = x3
if z < x4:
    z = x4

print(z)