Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import math
A, B, C, D = input().split()
 
if math.ceil(int(C)*1.0/(int(B)*1.0)) >= math.ceil(int(A)*1.0/(int(D)*1.0))
  print("Yes")
else:
  print("No")

Fixed submission:
import math
A, B, C, D = input().split()
 
if math.ceil(int(C)*1.0/(int(B)*1.0)) <= math.ceil(int(A)*1.0/(int(D)*1.0)):
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
A, B, C, D = input().split()

if math.ceil(int(C)*1.0/(int(B)*1.0)) >= math.ceil(int(A)*1.0/(int(D)*1.0))
  print("Yes")
else:
  print("No")

Fixed submission:
import math
A, B, C, D = input().split()
 
if math.ceil(int(C)*1.0/(int(B)*1.0)) <= math.ceil(int(A)*1.0/(int(D)*1.0)):
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
M = int(input())
P = [input().split() for i in range(M)]
print(len(set(P)))

Fixed submission:
M = int(input())
P = [input() for i in range(M)]
print(len(set(P)))
Buggy python submission (verdict: Runtime Error):
a, b, c, d = map(int, input().split())
if c//b + 1 > a//d:
  print("No")
else:
  print("Yes")

Fixed submission:
s, w = map(int, input().split())
if(s>w):
  print("safe")
else:
  print("unsafe")
Buggy python submission (verdict: Runtime Error):
a, b, c, d = map(int, input().split())
while a > 0 and c > 0:
    c -= b
    if c>0:
        a -=d
        if a<=0:
        print("no")
    else:
        print("Yes")
    


Fixed submission:
try:
  a, b, c, d = map(int, input().split())
  while a > 0 and c > 0:
      c -= b
      if c>0:
          a -=d
          if a<=0:
          	print("No")
      else:
          print("Yes")
    
except:
  pass
Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce
from itertools import product
import numpy

def gcd(*numbers):
    return reduce(math.gcd, numbers)

n = int(input())

l = product(range(1, 1+n), repeat=3)

print(numpy.cumsum([gcd(*i) for i in l])[-1])

Fixed submission:
n = input()
if "7" in n:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce
from itertools import product
import numpy

def gcd(*numbers):
    return reduce(math.gcd, numbers)

n = int(input())

l = product(range(1, 1+n), repeat=3)

print(numpy.cumsum([gcd(*i) for i in l])[-1])

Fixed submission:
import math
from functools import reduce
from itertools import product

def gcd(*numbers):
    return reduce(math.gcd, numbers)

n = int(input())

l = product(range(1, 1+n), repeat=3)

print(sum([gcd(*i) for i in l]))

Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce
from itertools import product
import numpy

def gcd(*numbers):
    return reduce(math.gcd, numbers)

n = int(input())

l = product(range(1, 1+n), repeat=3)

print(numpy.cumsum([gcd(*i) for i in l])[-1])

Fixed submission:
import math
from functools import reduce
from itertools import product

def gcd(*numbers):
    return reduce(math.gcd, numbers)

n = int(input())

l = product(range(1, 1+n), repeat=3)

print(sum([gcd(*i) for i in l]))

Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce
from itertools import product

n = int(input())

l = list(product(range(1, 1+n), repeat=3))
# print(l)

def gcd(*numbers):
    return reduce(math.gcd, numbers)

print(sum([gcd(*i) for i in l]))

Fixed submission:
import math
from functools import reduce
from itertools import product

def gcd(*numbers):
    return reduce(math.gcd, numbers)

n = int(input())

l = product(range(1, 1+n), repeat=3)

print(sum([gcd(*i) for i in l]))
Buggy python submission (verdict: Runtime Error):
s = input()
n = s.__len__()
c = 0
l = list()
for i in range(n):
    l.append(s[i])
len = l.__len__()
for i2 in range(len):
    start = s[i2]
    for i3 in range(len-i2-1):
        start += s[i3+i2+1]
        if int(start) % 2019 == 0:
            c = c + 1
print(c)

Fixed submission:
s, w = map(int, input().split())
if s <= w:
    print('unsafe')
else:
    print('safe')

Buggy python submission (verdict: Runtime Error):
s, w = map(int, input().split())
if ( w >= s )
	print("unsafe")
else
	print("safe")

Fixed submission:
s, w = map(int, input().split())
if ( w >= s ):
    print("unsafe")
else:
    print("safe")

Buggy python submission (verdict: Runtime Error):
s = int(input())
w = int(input())
if ( w >= s ):
	print("unsafe")
else:
	print("safe")

Fixed submission:
s, w = map(int, input().split())
if ( w >= s ):
    print("unsafe")
else:
    print("safe")

Buggy python submission (verdict: Runtime Error):
s = int(input())
w = int(input())
if ( w >= s )
	print("unsafe")
else
	print("safe")

Fixed submission:
s, w = map(int, input().split())
if ( w >= s ):
    print("unsafe")
else:
    print("safe")

Buggy python submission (verdict: Runtime Error):
s = int(input())
w = int(input())
if w > s
	print("unsafe")
else
	print("safe")

Fixed submission:
s, w = map(int, input().split())
if ( w >= s ):
    print("unsafe")
else:
    print("safe")

Buggy python submission (verdict: Runtime Error):
A, B, C, D = map(int, input().split())
while (A>0 and C > 0):
    C = C - B
    if C <= 0:
        break
    A = A - D
print("Yes" if C<=0 else "No")

Fixed submission:
s, w = map(int, input().split())
if ( w >= s ):
    print("unsafe")
else:
    print("safe")
Buggy python submission (verdict: Runtime Error):
 A = map(int, input().split())
if len(set(A) ) == 2:
    print("Yes")
else:
    print("No")

Fixed submission:
A = map(int,input().split())
if len(set(A)) == 2:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
 = int(input())

result = 0
i = 1
while h > 0:
    h = h // 2
    result = result + i
    i *= 2

print(result)

Fixed submission:
h = int(input())

result = 0
i = 1
while h > 0:
    h = h // 2
    result = result + i
    i *= 2

print(result)
Buggy python submission (verdict: Runtime Error):
S = input()
import numpy as np
length = len(S)
arr = np.array([int(S[i:j]) for i in range(0,length-3) for j in range(i+4, length+1)])
arr2 = arr % 2019
print(len(arr2)- np.count_nonzero(arr2))

Fixed submission:
S, W = map(int, input().split())
if W >= S:
    print("unsafe")
else:
    print("safe")

Buggy python submission (verdict: Runtime Error):
t,k,a,o = map(int,input().split())
taka=int(a//k)
aoki=int(t//o)
if taka<=aoki:
    print('Yes')
else:
    print('No')

Fixed submission:
x,y = map(int,input().split())
if x<=y:
    print('unsafe')
else:
    print('safe')

Buggy python submission (verdict: Runtime Error):
sheep_number=int(input())
wolf_number=int(input())
if sheep_number<=wolf_number:
    print('unsafe')
else:
    print('safe')

Fixed submission:
x,y = map(int,input().split())
if x<=y:
    print('unsafe')
else:
    print('safe')

Buggy python submission (verdict: Runtime Error):
sheep_number=S
wolf_number=W
if sheep_number<=wolf_number:
    print('unsafe')
else:
    print('safe')

Fixed submission:
x,y = map(int,input().split())
if x<=y:
    print('unsafe')
else:
    print('safe')

Buggy python submission (verdict: Runtime Error):
a = int(input())
lst = []
for i in range(a):
    b = input()
    if not(b in lst):
    	lst.append(b)
        
print(len(lst))
    



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

if (a > b):
    print("safe")
else:
    print("unsafe")
Buggy python submission (verdict: Runtime Error):
n,m = map(int,input().split())

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

total = 0

for i in range m:
    total += c[i]

if((n-total) >= 0):
    print(n-total)
else:
    print(-1)

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

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


total = 0

for i in range(m):
    total += c[i]

if((n-total) >= 0):
    print(n-total)
else:
    print(-1)
Buggy python submission (verdict: Runtime Error):
s = input()
if length(s) == 6:
  if s[2] == s[3]:
  	if s[4] == s[5]:
      print("Yes")
	else:
  	print("No")


Fixed submission:
s = input()
 
if s[2] == s[3]:
  if s[4] == s[5]:
    print("Yes")
  else:
    print("No")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
S = input()
n = len(S)
count = 0
for i in range(0,n-3):
    s = S[i:i+4]
    for j in range(i+4,n):
        s = s + S[j]
        if int(s)%2019 == 0 : count += 1
print(count)

Fixed submission:
S,W = map(int, input().split())
if S>W: print("safe")
else : print("unsafe")
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
for i in range(1,N+1):
    count = 0
    B =[]
    for j in range(len(A)):
        if A[j]==i:
            count =+ 1
        else:
            B.append(A[j])
    print(count)
    A = B

Fixed submission:
import math
r = int(input())
print(2*r*math.pi)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
for i in range(1,N+1):
    count = 0
    B =[]
    for j in range(len(A)):
        if A[j]==i:
            count += 1
        else:
            B.append(A[j])
    print(count)
    A = B

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
B = [0]*N
for i in range (len(A)):
    B[A[i]-1] +=1
print('\n'.join(map(str, B)))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
A.sort(reverse = True)
for i in range(1,N+1):
    try:
        if A[-1]==i:
            B = A.index(i)
            print(N-(B+1))
            del A[B:]
            N=B+1
        else:
            print(0)
    except:
        print(0)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
B = [0]*N
for i in range (len(A)):
    B[A[i]-1] +=1
print('\n'.join(map(str, B)))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
A.sort(reverse = True)
for i in range(1,N+1):
    try:
        B = A.index(i)
        print(N-(B+1))
        del A[B:]
        N=B+1
    except:
        print(0)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
B = [0]*N
for i in range (len(A)):
    B[A[i]-1] +=1
print('\n'.join(map(str, B)))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
for i in range(1,N+1):
    print(A.count(i))
    A = [a for a in A if a!=i]

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
B = [0]*N
for i in range (len(A)):
    B[A[i]-1] +=1
print('\n'.join(map(str, B)))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
for i in range(1,N+1):
    print(A[i-1:].count(i))

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
B = [0]*N
for i in range (len(A)):
    B[A[i]-1] +=1
print('\n'.join(map(str, B)))
Buggy python submission (verdict: Runtime Error):
a,b = map(int,input().split())
if a%2==0 or b%==0:
  print("Even")
else:
  print("Odd")

Fixed submission:
a,b = map(int,input().split())
if a%2==0 or b%2==0:
  print("Even")
else:
  print("Odd")

Buggy python submission (verdict: Runtime Error):
a, b = map(int,input().split())
if a%2==0 or b%2==0:
  print("even")
 else:
  print("odd")

Fixed submission:
a,b = map(int,input().split())
if a%2==0 or b%2==0:
  print("Even")
else:
  print("Odd")
Buggy python submission (verdict: Runtime Error):
s = int(input().replace(' ',''))
if s**0.5.is_integer:
    print("Yes")
else:
    print("No")

Fixed submission:
import math
s = int(input().replace(' ',''))
if int(math.sqrt(s))**2 == s:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())


i = 0
sum = 0
item_list = []

while i < N:
  item = input()
  if not(item in item_list) :
    item_list.append(item)
    sum += 1
  i += 1
#while_end

print(sum)





Fixed submission:
N = int(input())

i = 0
item_list = []

while i < N:
  item = input()
  item_list.append(item)
  i += 1
#while_end

print(len(set(item_list)))
Buggy python submission (verdict: Runtime Error):
s=str(input())

ans=0
for i in range(len(s)):
    for j in range(i+1, len(s)+1):
        if int(s[i:j])%2019==0:
            ans+=1
print(ans)

Fixed submission:
s,w=map(int, input().split())
if s<=w:
    print('unsafe')
else:
    print('safe')
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n=int(input())
a= [int(i) for i in input().split()]
b=np.array(a)
for i in range(1,n+1):
    print(np.count_nonzero(b==i))

Fixed submission:
n=int(input())
a= [int(i) for i in input().split()]
b=[0]*n
for i in a:
    b[i-1]+=1
for j in range(n):
    print(b[j])

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a= [int(i) for i in input().split()]
for i in range(1,n+1):
    print(a.count(i))

Fixed submission:
n=int(input())
a= [int(i) for i in input().split()]
b=[0]*n
for i in a:
    b[i-1]+=1
for j in range(n):
    print(b[j])
Buggy python submission (verdict: Runtime Error):
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans+=gcd(math.gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans+=gcd(gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans+=math.gcd(math.gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans+=gcd(gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math

k=int(input())
ans=3*k**2-3*k+1
for i in range(2,k+1):
    for j in range(2,k+1):
        for l in range(2,k+1):
            ans+=math.gcd(math.gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans+=gcd(gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math

k=int(input())
ans=3*k**2-3*k+1
for i in range(2,k+1):
    for j in range(2,k+1):
        for l in range(2,k+1):
            ans+=math.gcd(math.gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans+=gcd(gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            x=math.gcd(i,j)
            y=math.gcd(x,l)
            ans+=y
            #print(gcd(i,j,l))
print(ans)

Fixed submission:
from math import gcd

k=int(input())
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans+=gcd(gcd(i,j), l)
            #print(gcd(i,j,l))
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int, input().split())
while n>abs(n-k):
    n=abs(n-k)
print(n)

Fixed submission:
n,k=map(int, input().split())
t1=n%k
t2=k-n%k
print(min(t1,t2))
Buggy python submission (verdict: Runtime Error):
k=int(input())
a=[i for i in range(10)]

while True:
    #るんるん数の候補を、桁数ごとに積み上げます。まず１桁
    if k<=len(a):
        print(a[k-1])
        break
    """
    1桁に成果がなければ、kから１桁のlen(るんるん数リスト)を引いて、
    ２桁のリストを作ります。作り方は、元のるんるんリストのそれぞれの数を１０倍して、
    その１０の位と同じか隣接する値を加えたものをappend.
    以下同様
    """
    k-=len(a)
    old=[]
    old, a=a, old
    for x in old:
        for i in range(-1,2):
            d=x%10+d
            if d<0 or d>9:
                continue
            new_x=x*10+d
            a.append(new_x)

Fixed submission:
k=int(input())
a=[i for i in range(1,10)]

while True:
    #るんるん数の候補を、桁数ごとに積み上げます。まず１桁
    if k<=len(a):
        print(a[k-1])
        break
    """
    1桁に成果がなければ、kから１桁のlen(るんるん数リスト)を引いて、
    ２桁のリストを作ります。作り方は、元のるんるんリストのそれぞれの数を１０倍して、
    その１０の位と同じか隣接する値を加えたものをappend.
    以下同様
    """
    k-=len(a)
    old=[]
    old, a=a, old
    for x in old:
        for i in range(-1,2):
            d=x%10+i
            if d<0 or d>9:
                continue
            new_x=x*10+d
            a.append(new_x)
Buggy python submission (verdict: Time Limit Exceeded):
n,k,c=map(int, input().split())
s=str(input())

l=[]
r=[]
i=0
j=n-1
while len(l)<k:
    if s[i]=='x':
        i+=1
    if s[i]=='o':
        l.append(i+1)
        i+=c+1
while len(r)<k:
    if s[j]=='x':
        j-=1
    if s[j]=='o':
        r.insert(0,j+1)
        j-=c+1
"""
ここまでで、lには「最速でその日に仕事ができる」
rには「遅くともその日までには仕事しないといけない」
というリストができます。
print(l)
print(r)
"""
for _ in range(len(l)):
    if l[_]==r[_]:
        print(l[_])

Fixed submission:
import sys
n,k,c=map(int, input().split())
s=str(input())

l=[0]*n
r=[0]*n
i=0
j=n-1
cnt=0
while i<n:
    if s[i]=='x':
        i+=1
    if s[i]=='o':
        l[i]=1
        i+=c+1
        cnt+=1
#前から働いていって、必要以上の数働ける形の場合、必須となる日はありません。
if cnt>k:
    sys.exit()
    
while j>=0:
    if s[j]=='x':
        j-=1
    if s[j]=='o':
        r[j]=1
        j-=c+1
"""
ここまでで、lには「最速でその日に仕事ができる」
rには「遅くともその日までには仕事しないといけない」
というリストができます。

print(l)
print(r)
"""
for _ in range(len(l)):
    if l[_] and r[_]:
        print(_+1)
Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split())
u=str(input())
if u==s:
    print(a-1, b)
else:
    print(a,b-1)

Fixed submission:
s,t=map(str,input().split())
a,b=map(int,input().split())
u=str(input())
if u==s:
    print(a-1, b)
else:
    print(a,b-1)
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
p = [int(i) for i in input().split()]
ans=0
for i in range(len(p)-k+1):
    x=0
    for j in range(k):
        x+=(p[i+j]+1)/2
    if x>ans:
        ans=x
#print(ans)
print(ans)

Fixed submission:
n,k=map(int,input().split())
p = [int(i) for i in input().split()]

for i in range(len(p)):
    p[i]=(p[i]+1)/2
tmp=sum(p[0:k])
x=sum(p[0:k])
for i in range(k,len(p)):
    x=x-p[i-k]+p[i]
    if x>tmp:
        tmp=x
print(tmp)

Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
p = [int(i) for i in input().split()]
ans=[]
for i in range(len(p)-k+1):
    x=0
    for j in range(k):
        x+=(p[i+j]+1)/2
    ans.append(x)
#print(ans)
print(max(ans))

Fixed submission:
n,k=map(int,input().split())
p = [int(i) for i in input().split()]

for i in range(len(p)):
    p[i]=(p[i]+1)/2
tmp=sum(p[0:k])
x=sum(p[0:k])
for i in range(k,len(p)):
    x=x-p[i-k]+p[i]
    if x>tmp:
        tmp=x
print(tmp)
Buggy python submission (verdict: Time Limit Exceeded):
import fractions
n=int(input())
t = list(map(int, input().split()))
l=[]
ans = t[0]
for i in range(1, n):
    ans = ans * t[i] // fractions.gcd(ans, t[i])
for j in range(n):
    l.append(ans//t[j])
print(sum(l)%(10**9+7))

Fixed submission:
import fractions
n=int(input())
t = list(map(int, input().split()))
x=0
ans = t[0]
for i in range(1, n):
    ans = ans * t[i] // fractions.gcd(ans, t[i])
for j in range(n):
    x+=ans//t[j]
print(x%(10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
import fractions
n=int(input())
t = list(map(int, input().split()))
l=[0 for i in range(n)]
ans = t[0]
for i in range(1, n):
    ans = ans * t[i] // fractions.gcd(ans, t[i])
for j in range(n):
    l[j]=ans//t[j]
print(sum(l)%(10**9+7))

Fixed submission:
import fractions
n=int(input())
t = list(map(int, input().split()))
x=0
ans = t[0]
for i in range(1, n):
    ans = ans * t[i] // fractions.gcd(ans, t[i])
for j in range(n):
    x+=ans//t[j]
print(x%(10**9+7))

Buggy python submission (verdict: Runtime Error):
import math
n=int(input())
t = list(map(int, input().split()))
l=[0 for i in range(n)]
ans = t[0]
for i in range(1, n):
    ans = ans * t[i] // math.gcd(ans, t[i])
for j in range(n):
    l[j]=ans//t[j]
print(sum(l)%(10**9+7))

Fixed submission:
import fractions
n=int(input())
t = list(map(int, input().split()))
x=0
ans = t[0]
for i in range(1, n):
    ans = ans * t[i] // fractions.gcd(ans, t[i])
for j in range(n):
    x+=ans//t[j]
print(x%(10**9+7))
Buggy python submission (verdict: Runtime Error):
import math
x,y=map(int,input().split())
if (2*y-x)%3==0 and (2*x-y)%3==0:
    a=(2*y-x)/3
    b=(2*x-y)/3
    ans=math.factorial(a+b)//math.factorial(a)//math.factorial(b)
    print(ans%(10**9+7))
else:
    print('0')

Fixed submission:
def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result

x,y=map(int,input().split())
if (2*y-x)%3==0 and (2*x-y)%3==0 and  (2*y-x)/3>=0 and (2*x-y)/3>=0 :
    a=(2*y-x)//3
    b=(2*x-y)//3
    ans=cmb(a+b,a)
    print(ans%(10**9+7))
else:
    print('0')
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n,k=map(int,input().split())
a=[int(i) for i in input().split()]
f=[int(i) for i  in input().split()]
#Aについても、修行前の大小で並べてしまって良いです
A=np.array(sorted(a))
F=np.array(sorted(f, reverse=True))
#最大値の最小化▶︎二分探索！
#答えxを決めて、A*Fペア全てをx以下にするために必要な修行がk回以下かを調べていく。(xについて二分探索)
left=-1
right=10**12
s=A.sum()
x=(left+right)//2
#A-x//Fは、x以下にするのに必要な最小の修行回数。
#np.maximum(A-x//F,0)は、２つの配列の大きい方を取っていきながらあたらしい配列を作っている。
while left+1<right:
    if s-np.minimum(A , x//F).sum()<=k:
        #この時答えはx以下なので
        right=x
    else:
        #この時答えはxより大きいので
        left=x
print(right)

Fixed submission:
import numpy as np
n,k=map(int,input().split())
a=[int(i) for i in input().split()]
f=[int(i) for i  in input().split()]
#Aについても、修行前の大小で並べてしまって良いです
A=np.array(sorted(a))
F=np.array(sorted(f, reverse=True))
#最大値の最小化▶︎二分探索！
#答えxを決めて、A*Fペア全てをx以下にするために必要な修行がk回以下かを調べていく。(xについて二分探索)
left=-1
right=10**12
s=A.sum()
#A-x//Fは、x以下にするのに必要な最小の修行回数。
#np.maximum(A-x//F,0)は、２つの配列の大きい方を取っていきながらあたらしい配列を作っている。
while left+1<right:
    x=(left+right)//2
    if np.maximum(A-x//F , 0).sum()<=k:
        #この時答えはx以下なので
        right=x
    else:
        #この時答えはxより大きいので
        left=x
print(right)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n,k=map(int,input().split())
a=[int(i) for i in input().split()]
f=[int(i) for i  in input().split()]
#Aについても、修行前の大小で並べてしまって良いです
A=np.array(sorted(a))
F=np.array(sorted(f, reverse=True))
#最大値の最小化▶︎二分探索！
#答えxを決めて、A*Fペア全てをx以下にするために必要な修行がk回以下かを調べていく。(xについて二分探索)
left=-1
right=10**12
s=A.sum()
x=(left+right)//2
#A-x//Fは、x以下にするのに必要な最小の修行回数。
#np.maximum(A-x//F,0)は、２つの配列の大きい方を取っていきながらあたらしい配列を作っている。
while left+1<right:
    if np.maximum(A-x//F,0).sum()<=k:
        #この時答えはx以下なので
        right=x
    else:
        #この時答えはxより大きいので
        left=x
print(right)

Fixed submission:
import numpy as np
n,k=map(int,input().split())
a=[int(i) for i in input().split()]
f=[int(i) for i  in input().split()]
#Aについても、修行前の大小で並べてしまって良いです
A=np.array(sorted(a))
F=np.array(sorted(f, reverse=True))
#最大値の最小化▶︎二分探索！
#答えxを決めて、A*Fペア全てをx以下にするために必要な修行がk回以下かを調べていく。(xについて二分探索)
left=-1
right=10**12
s=A.sum()
#A-x//Fは、x以下にするのに必要な最小の修行回数。
#np.maximum(A-x//F,0)は、２つの配列の大きい方を取っていきながらあたらしい配列を作っている。
while left+1<right:
    x=(left+right)//2
    if np.maximum(A-x//F , 0).sum()<=k:
        #この時答えはx以下なので
        right=x
    else:
        #この時答えはxより大きいので
        left=x
print(right)
Buggy python submission (verdict: Runtime Error):
n=int(input())
print(n***3)

Fixed submission:
n=int(input())
print(n**3)
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input())
s=[i for i in range input()]
num=0
for i in range(len(s)):
    if s[i]==s[i+1]:
        num+=1
print(min(n-1,num+2*k))

Fixed submission:
n,k=map(int,input().split())
s=[i for i in input()]
num=0
for i in range(len(s)-1):
    if s[i]==s[i+1]:
        num+=1
print(min(n-1,num+2*k))