Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
x = int(input())
ans = 8
max = 599
min = 400
while True:
  if min <= x < max:
    print(ans)
    break
  else:
    max += 200
    min += 200
    ans -= 1

Fixed submission:
x = int(input())
ans = 8
max = 599
min = 400
while True:
  if min <= x <= max:
    print(ans)
    break
  else:
    max += 200
    min += 200
    ans -= 1
Buggy python submission (verdict: Runtime Error):
n, m, k = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
aot = []
i, j = 0, 0
while sum(aot) <= k:


  if len(a) > 0 and len(b) > 0:
    if a[i] >= b[j]:
      aot.append(b[j])
      del b[j]
      #print('aは{}, bは{}'.format(a, b))
    elif a[i] <= b[j]:
      aot.append(a[i])
      del a[i]
      #print('aは{}, bは{}'.format(a, b))
      
  elif len(a) == 0:
    aot.append(b[j])
    del b[j]
  elif len(b) == 0:
    aot.sppend(a[i])
    del a[i]
  
if sum(aot) > k:
  del aot[-1]
print(len(aot))


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

A, B = [0], [0]

for i in range(n):
  A.append(a[i] + A[i])
for i in range(m):
  B.append(b[i] + B[i])

ans, j = 0, m
for i in range(n+1):
  if A[i] > k:
    break
  while B[j] > k - A[i]:
    j -= 1
  ans = max(ans, i+j)
print(ans)

Buggy python submission (verdict: Runtime Error):
n, m, k = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
aot = []
i, j = 0, 0
while sum(aot) < k:


  if len(a) > 0 and len(b) > 0:
    if a[i] >= b[j]:
      aot.append(b[j])
      del b[j]
      #print('aは{}, bは{}'.format(a, b))
    elif a[i] <= b[j]:
      aot.append(a[i])
      del a[i]
      #print('aは{}, bは{}'.format(a, b))
      
  elif len(a) == 0:
    aot.append(b[j])
    del b[j]
  elif len(b) == 0:
    aot.sppend(a[i])
    del a[i]
  
if sum(aot) > k:
  del aot[-1]
print(len(aot))


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

A, B = [0], [0]

for i in range(n):
  A.append(a[i] + A[i])
for i in range(m):
  B.append(b[i] + B[i])

ans, j = 0, m
for i in range(n+1):
  if A[i] > k:
    break
  while B[j] > k - A[i]:
    j -= 1
  ans = max(ans, i+j)
print(ans)
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
l = list()
for _ in range(n):
	l.append(int(input()))
	
l.sort(reverse = True)

for i in range(k):
	a += l[i]
	
print(a)

Fixed submission:
n, k = map(int, input().split())
l = list(map(int, input().split()))
a = 0
	
l.sort(reverse = True)

for i in range(k):
	a += l[i]
	
print(a)
Buggy python submission (verdict: Time Limit Exceeded):
#SumofThreeIntegers
k, s = map(int, input().split())
cnt = 0
for x in range(k+1):
  for y in range(k+1):
    for z in range(k+1):
      if x + y + z == s :
        cnt += 1
print(cnt)

Fixed submission:
#SumofThreeIntegers
k, s = map(int, input().split())
cnt = 0
for x in range(k+1):
  for y in range(k+1):
    a = s - (x + y)
    if 0 <= a <= k :
      cnt += 1
print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
K=int(input())
if K%2==0:
  print(-1)
else:
  a=''
  c=0
  for i in range(10**7):
    a+='7'
    c+=1
    if int(a)%K==0:
      print(c)
      exit()


Fixed submission:
K=int(input())
mod=9*K
n=1
if K%7==0:
  mod=mod//7
for i in range(1,K+1):
  n=n*10%mod
  if n==1:
    print(i)
    exit()
print(-1)

Buggy python submission (verdict: Time Limit Exceeded):
K=int(input())
if K%2==0:
  print(-1)
else:
  ans=0
  c=0
  for i in range(10**7):
    ans+=7*pow(10,i)
    c+=1
    if ans%K==0:
      print(c)
      exit()

Fixed submission:
K=int(input())
mod=9*K
n=1
if K%7==0:
  mod=mod//7
for i in range(1,K+1):
  n=n*10%mod
  if n==1:
    print(i)
    exit()
print(-1)
Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
A=list(map(int,input().split()))
ans=1
for i in range(K):
  ans*=A[i]
for i in range(K,N):
  bns=ans//A[i-K]*A[i]
  if ans<bns:
    print('Yes')
  else:
    print('No')
  ans=bns

Fixed submission:
N,K=map(int,input().split())
A=list(map(int,input().split()))
for i in range(K,N):
  if A[i-K]<A[i]:
    print('Yes')
  else:
    print('No')
Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
A=list(map(int,input().split()))
A.sort(reverse=True,key=lambda x:abs(x))
a=[]
b=[]
c=0
mod=10**9+7
ans=1
for i in range(N):
  if A[i]<0:
    c+=1
    b.append(A[i])
  else:
    a.append(A[i])
if K==N:
  for i in range(N):
    ans*=A[i]
    ans%=mod
else:
  if c==N and K%2==1:
    for i in range(N-1,N-1-K,-1):
      ans*=A[i]
      ans%=mod
  else:
    d,e=0,0
    for i in range(K):
      ans*=A[i]
      if A[i]<0:
        d+=1
      else:
        e+=1
    if ans<0:
      bns=ans//b[d-1]*a[e]
      cns=ans//a[e-1]*b[d]
      ans=max(bns,cns)
      ans%=mod
print(ans)

Fixed submission:
N,K=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
a,b,i=0,1,0
mod=10**9+7
ans=1
while i<K-1:
  if A[a]*A[a+1]>A[-b]*A[-b-1]:
    ans*=A[a]*A[a+1]
    ans%=mod
    a+=2
    i+=2
  else:
    ans*=A[-b]
    ans%=mod
    b+=1
    i+=1
if i==K-1:
  ans*=A[-b]
  ans%=mod
if A[-1]<0 and K%2==1:
  ans=1
  for i in A[N-K:]:
    ans*=i
    ans%=mod
print(ans%mod)
Buggy python submission (verdict: Runtime Error):
D=int(input())
c=list(map(int,input().split()))
s=[list(map(int,input().split())) for _ in range(D)]
a=0
c=0
for i in range(26):
  b=0
  for j in range(D):
    b+=s[i][j]
  b-=c[i]*(D-1)
  if a<=b:
    c=i
for i in range(D):
  if i!=D-1:
    print(c+1)
  else:
    p=0
    q=0
    for j in range(26):
      if p<=s[D-1][j]:
        p=s[D-1][j]
        q=j
    print(j+1)

Fixed submission:
D=int(input())
c=list(map(int,input().split()))
s=[list(map(int,input().split())) for _ in range(D)]
for i in range(D):
  a=10**9
  b=0
  for j in range(26):
    if a>=(s[i][j]-c[j]*(D-i-1)):
      a=s[i][j]-c[j]*(D-i-1)
      b=j
  print(j+1)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])
    if temp!=1:
        arr.append([temp, 1])
    if arr==[]:
        arr.append([n, 1])
    return arr
ans=0
for i in range(1,N+1):
  p=factorization(i)
  a=1
  for x,y in p:
    a*=(y+1)
  ans+=a*i
print(ans-1)

Fixed submission:
N=int(input())
ans=0
for i in range(1,N+1):
  ans+=(i+N//i*i)*(N//i)//2
print(ans)
Buggy python submission (verdict: Runtime Error):
N=int(input())
a=N//27
b=N%27
j=0
p=N
for i in range(1,11):
  if N<pow(26,i):
    j=i-1
    break
  p-=pow(26,i)
s=''
if j==0:
  print(chr(N+96))
else:
  q=N
  for i in range(j):
    q-=pow(26,i+1)
  q-=1
  for k in range(j,-1,-1):
    s=s+chr(q//pow(26,k)+97)
    q-=(q//pow(26,k))*pow(26,k)
  print(s)

Fixed submission:
N=int(input())
a=N//27
b=N%27
s=''
if N<27:
  print(chr(N+96))
else:
  n=N
  j=0
  for i in range(1,11):
    if n-1-pow(26,i)>=0:
      n-=pow(26,i)
      j=i
    else:
      break
  for k in range(j,-1,-1):
    if k==0:
      s=s+chr(n-1+97)
    else:
      s=s+chr((n-1)//pow(26,k)+97)
      n-=((n-1)//pow(26,k))*pow(26,k)
  print(s)
Buggy python submission (verdict: Runtime Error):
def main():
  N=int(input())
  a=list(map(int,input().split()))
  p=max(a)
  m=len(bin(p))-2
  for i in range(N):
    b=len(bin(a[i]))-2
    ans=0
    for j in range(b):
      if a[i]>>j&1==1:
        if j==m-1 or j==0:
          ans+=pow(2,j)
      else:
        if j==m-1 or j==0:
          continue
        ans+=pow(2,j)
    print(ans,end=' ')
if __name__=='__main__':

Fixed submission:
def main():
  N=int(input())
  a=list(map(int,input().split()))
  ans=0
  for i in range(N):
    ans=ans^a[i]
  for i in range(N):
    print(ans^a[i],end=' ')
if __name__=='__main__':
  main()
Buggy python submission (verdict: Runtime Error):
s=list(map(int,input().split()))
if Y-2*X>=0 and (Y-2*X)%2==0:
  a=int((Y-2*X)//2)
  if X-a>=0:
    print('Yes')
  else:
    print('No')
else:
  print('No')

Fixed submission:
X,Y=map(int,input().split())
if Y-2*X>=0 and (Y-2*X)%2==0:
  a=int((Y-2*X)//2)
  if X-a>=0:
    print('Yes')
  else:
    print('No')
else:
  print('No')
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=list(map(int,input().split()))
count=0
for i in range(n):
  a=s[i]
  b=abs(s[i]-i-1)
  for j in range(b,n):
    if abs(i-j)==(s[i]+s[j]):
      count+=1
print(count)

Fixed submission:
import collections
n=int(input())
s=list(map(int, input().split()))
L=[i+a for i,a in enumerate(s)]
R=[i-a for i,a in enumerate(s)] 
t=collections.Counter(L)
u=collections.Counter(R)
ans = 0
for i in t.keys():
  ans+=t[i]*u[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
if N%2==1:
  for i in range(M):
    print(i+1,N-i)
else:
  middle=((M+1)/2)
  for i in range(middle):
    print(i+1,N-i)
  for j in range(middle,M):
    print(j+2,N-j)

Fixed submission:
N,M=map(int,input().split())
if N%2==1:
  for i in range(M):
    print(i+1,N-i)
else:
  middle=int((M+1)/2)
  for i in range(middle):
    print(i+1,N-i)
  for j in range(middle,M):
    print(j+2,N-j)
Buggy python submission (verdict: Runtime Error):
s=list(map(int,input().split()))
a=s[0]
b=s[2]
c=0
for i in range():
  if a<=0 or b<=0:
    break
  if c==0:
    b=b-s[1]
    c=1
  else:
    a=a-s[3]
if a<=0:
  print('No')
else:
  print('Yes')

Fixed submission:
s=list(map(int,input().split()))
a=s[0]
b=s[2]
for i in range(200):
  if a<=0:
    break
  if b<=0:
    break
  b=b-s[1]
  a=a-s[3]
if a<=0:
  if b<=0:
    print('Yes')
  else:
    print('No')
else:
  print('Yes')
Buggy python submission (verdict: Time Limit Exceeded):
s=int(input())
t=input()
a=0
b=0
c=0
d=[]
e=[]
f=[]
for i in range(s):
  if t[i]=='R':
    a=a+1
    d.append(i)
  elif t[i]=='G':
    b=b+1
    e.append(i)
  else:
    c=c+1
    f.append(i)
g=a*b*c
for j in range(len(d)):
  for k in range(len(e)):
    for l in range(len(f)):
      p=max(d[j],e[k],f[l])
      q=min(d[j],e[k],f[l])
      r=d[j]+e[k]+f[l]
      r=r-p-q
      if 2*r==p+q:
        g=g-1
print(g)

Fixed submission:
s=int(input())
t=input()
a=0
b=0
c=0
for i in range(s):
  if t[i]=='R':
    a=a+1
  elif t[i]=='G':
    b=b+1
  else:
    c=c+1
g=a*b*c
for j in range(s):
  for k in range(j+1,s):
    p=2*k-j
    if p>s-1:
      break
    if t[j]!=t[k] and t[p]!=t[k] and t[p]!=t[j]:
      g=g-1
print(g)
Buggy python submission (verdict: Runtime Error):
s=list(map(int,input().split()))
t=list(map(int,input().split()))
u=list(map(int,input().split()))
v=[list(map(int,input().split())) for i in range(s[2])]
a=10**6
d=0
e=0
for i in range(s[2]):
  d=v[i][0]-1
  e=v[i][0]-1
  b=t[d]+u[e]-v[i][2]
  a=min(a,b)
print(a)

Fixed submission:
s=list(map(int,input().split()))
t=list(map(int,input().split()))
u=list(map(int,input().split()))
v=[list(map(int,input().split())) for i in range(s[2])]
a=10**6
d=0
e=0
for i in range(s[2]):
  d=v[i][0]-1
  e=v[i][1]-1
  b=t[d]+u[e]-v[i][2]
  a=min(a,b)
f=min(t)
e=min(u)+f
a=min(a,e)
print(a)
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
t=int(input())
u=[input().split()for i in range(t)]
a=0
for i in range(t):
  if u[i][0]=='1':
    a+=1
  else:
    if u[i][1]=='1':
      if a%2==0:
        s=u[i][2]+s
      else:
        s=s+u[i][2]
    else:
      if a%2==0:
        s=s+u[i][2]
      else:
        s=u[i][2]+s
if a%2==0:
  print(s)
else:
  print(s[::-1])

Fixed submission:
s=input()
t=int(input())
u=[input().split()for i in range(t)]
a=0
b=''
c=''
for i in range(t):
  if u[i][0]=='1':
    a+=1
  else:
    if u[i][1]=='1':
      if a%2==0:
        b=b+u[i][2]
      else:
        c=c+u[i][2]
    else:
      if a%2==0:
        c=c+u[i][2]
      else:
        b=b+u[i][2]
if a%2==0:
  b=b[::-1]
  s=b+s+c
  print(s)
else:
  s=s[::-1]
  c=c[::-1]
  s=c+s+b
  print(s)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
t=int(input())
u=[input().split()for i in range(t)]
a=0
for i in range(t):
  if u[i][0]=='1':
    s=s[::-1]
  else:
    if u[i][1]=='1':
      s=u[i][2]+s
    else:
      s=s+u[i][2]
print(s)

Fixed submission:
s=input()
t=int(input())
u=[input().split()for i in range(t)]
a=0
b=''
c=''
for i in range(t):
  if u[i][0]=='1':
    a+=1
  else:
    if u[i][1]=='1':
      if a%2==0:
        b=b+u[i][2]
      else:
        c=c+u[i][2]
    else:
      if a%2==0:
        c=c+u[i][2]
      else:
        b=b+u[i][2]
if a%2==0:
  b=b[::-1]
  s=b+s+c
  print(s)
else:
  s=s[::-1]
  c=c[::-1]
  s=c+s+b
  print(s)
Buggy python submission (verdict: Time Limit Exceeded):
s=list(map(int,input().split()))
t=list(map(int,input().split()))
a=0
b=0
c=s[1]
for j in range(s[0]-s[1]+1):
  a=sum(t[j:j+c])+s[1]
  b=max(b,a)
  a=0
print(b/2)

Fixed submission:
s=list(map(int,input().split()))
t=list(map(int,input().split()))
c=s[1]
d=0
a=sum(t[0:c])
b=0
for j in range(s[0]-s[1]+1):
  if j==0:
    b=sum(t[:c])
    continue
  else:
    a+=(t[j+c-1]-t[j-1])
    b=max(b,a)
b+=s[1]
print(b/2)

Buggy python submission (verdict: Time Limit Exceeded):
s=list(map(int,input().split()))
t=list(map(int,input().split()))
u=[0]*s[0]
a=0
b=0
for i in range(s[0]):
  u[i]=(t[i]+1)/2
for j in range(s[0]-s[1]+1):
  for l in range(j,j+s[1]):
    a+=u[l]
  b=max(b,a)
  a=0
print(b)

Fixed submission:
s=list(map(int,input().split()))
t=list(map(int,input().split()))
c=s[1]
d=0
a=sum(t[0:c])
b=0
for j in range(s[0]-s[1]+1):
  if j==0:
    b=sum(t[:c])
    continue
  else:
    a+=(t[j+c-1]-t[j-1])
    b=max(b,a)
b+=s[1]
print(b/2)

Buggy python submission (verdict: Time Limit Exceeded):
s=list(map(int,input().split()))
t=list(map(int,input().split()))
u=[0]*s[0]
a=0
b=0
for i in range(s[0]):
  u[i]=int((t[i]*(t[i]+1))//2)
for j in range(s[0]-s[1]+1):
  for l in range(j,j+s[1]):
    a+=(u[l]/t[l])
  b=max(b,a)
  a=0
print(b)

Fixed submission:
s=list(map(int,input().split()))
t=list(map(int,input().split()))
c=s[1]
d=0
a=sum(t[0:c])
b=0
for j in range(s[0]-s[1]+1):
  if j==0:
    b=sum(t[:c])
    continue
  else:
    a+=(t[j+c-1]-t[j-1])
    b=max(b,a)
b+=s[1]
print(b/2)
Buggy python submission (verdict: Runtime Error):
import fractions import gcd
s=int(input())
t=list(map(int, input().split()))
ans=t[0]
for i in t:
  ans=(ans*i)//gcd(ans,i)
mod=10**9+7
ans%=mod
a=0
for j in t:
  a+=ans//j
print(int(a)%mod)

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

Buggy python submission (verdict: Runtime Error):
import fractions
n=int(input())
t=list(map(int,input().split()))
numbers=list(set(t))
for i in range(len(numbers)):
    if i == 0:
        gcd = numbers[i]
        lcm = numbers[i]
    else:
        gcd = fractions.gcd(gcd, numbers[i])
        lcm = (lcm * numbers[i]) // fractions.gcd(lcm, numbers[i])
a=0
mod=10**9+7
for i in range(n):
  a+=lcm/t[i]
  a=a%mod
print(int(a))

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

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

Fixed submission:
from fractions import gcd
s=int(input())
t=list(map(int, input().split()))
ans=t[0]
for i in t:
  ans=(ans*i)//gcd(ans,i)
mod=10**9+7
a=0
for j in t:
  a+=ans//j
print(int(a)%mod)
Buggy python submission (verdict: Runtime Error):
s=int(input())
t=[]
for i in range(N):
    u,l = map(int,input().split())
    t.append((u-l,u+l-1))
t.sort(key=lambda x: x[1])
d=-10*10
ans=0
for i in range(s):
  a=t[i][0]-t[i][1]
  if d<a:
    ans+=1
    d=a+2*t[i][1]-1
print(ans)

Fixed submission:
s=int(input())
t=[]
for i in range(s):
    u,l=map(int,input().split())
    t.append((u-l,u+l-1))
t.sort(key=lambda x: x[1])
d=-10**10
ans=0
for i in range(s):
  if d<t[i][0]:
    ans+=1
    d=t[i][1]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s=int(input())
t=[list(map(int, input().split())) for i in range(s)]
t.sort()
u=[]
u.append(0)
a=t[0][0]+t[0][1]
for j in range(1,s):
  c=t[j][0]-t[j][1]
  if a<=c:
    a=t[j][0]+t[j][1]      
  else:
    a=t[j][0]+t[j][1]
    u.append(j)
d=0
for l in u:
  e=0
  for i in range(l,s):
    if i==l:
      a=t[i][0]+t[i][1]
      e+=1
    else:
      c=t[i][0]-t[i][1]
      if a<=c:
        e+=1
        a=t[i][0]+t[i][1]
  d=max(d,e)
print(d)

Fixed submission:
s=int(input())
t=[]
for i in range(s):
    u,l=map(int,input().split())
    t.append((u-l,u+l-1))
t.sort(key=lambda x: x[1])
d=-10**10
ans=0
for i in range(s):
  if d<t[i][0]:
    ans+=1
    d=t[i][1]
print(ans)
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
A=list(map(int,input().split()))
mod=10**9+7
A.sort()
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
N = 10**4
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 )
ans,bns=0,0
for j in range(n-k+1):
  ans=(ans+(A[n-j-1]-A[j])*cmb(n-j-1,k-1,mod))%mod
print(ans%mod)

Fixed submission:
n,k=map(int,input().split())
A=list(map(int,input().split()))
mod=10**9+7
A.sort()
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
N = 10**5
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 )
ans,bns=0,0
for j in range(n-k+1):
  ans=(ans+(A[n-j-1]-A[j])*cmb(n-j-1,k-1,mod))%mod
print(ans%mod)
Buggy python submission (verdict: Runtime Error):
import fractions
s=list(map(int,input().split()))
t=[int(i)//2 for i in input().split()]
ans = t[0]
a=0
for i in range(1,s[0]):
  ans=(ans*t[i])//fractions.gcd(ans,t[i])
for j in t:
  if (ans/j)%2==0:
    print(0)
    exit()
if ans<=s[1]:
  print(int((s[1]//ans+1)//2))
else:
  print(0)

Fixed submission:
import fractions
s=list(map(int,input().split()))
t=[int(i)//2 for i in input().split()]
ans = t[0]
for i in range(1,s[0]):
  ans=(ans*t[i])//fractions.gcd(ans,t[i])
  if ans>10**10:
    print(0)
    exit()
for j in t:
  if (ans//j)%2==0:
    print(0)
    exit()
if ans<=s[1]:
  print(int((s[1]//ans+1)//2))
else:
  print(0)

Buggy python submission (verdict: Runtime Error):
import fractions
s=list(map(int,input().split()))
t=[int(i)//2 for i in input().split()]
ans = t[0]
a=0
for i in range(1,s[0]):
  ans=(ans*t[i])//fractions.gcd(ans,t[i])
  if i==1:
    if (int(ans/t[0])%2==0) or (int(ans/t[i])%2==0):
      print(0)
      a=1
  else:
    if (int(ans/t[i])%2==0):
      print(0)
      a=1
if a==0:
  if ans<=s[1]:
    print(int((s[1]//ans+1)//2))
  else:
    print(0)

Fixed submission:
import fractions
s=list(map(int,input().split()))
t=[int(i)//2 for i in input().split()]
ans = t[0]
for i in range(1,s[0]):
  ans=(ans*t[i])//fractions.gcd(ans,t[i])
  if ans>10**10:
    print(0)
    exit()
for j in t:
  if (ans//j)%2==0:
    print(0)
    exit()
if ans<=s[1]:
  print(int((s[1]//ans+1)//2))
else:
  print(0)
Buggy python submission (verdict: Runtime Error):
s=int(input())
t=int(input())
list=[]
list.append(1)
list.append(2)
list.append(3)
del list[s-1]
del list[t-1]
print(*list)

Fixed submission:
s=int(input())
t=int(input())
list=[]
list.append(1)
list.append(2)
list.append(3)
list.remove(s)
list.remove(t)
print(*list)
Buggy python submission (verdict: Runtime Error):
s=list(map(int,input().split()))
def ncr(n, r):
    r = min(r, n - r)
    if r == 0: return 1;
    if r == 1: return n;
    numerator = [n - r + i + 1 for i in range(r)]
    denominator  = [i + 1 for i 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 *= numerator[k]
    return result
if s[0]%3==0 and s[1]%3==0:
  a=max(s)-min(s)
  b=(min(s)-a)//3
  c=ncr(b*2+a,b)%1000000009
  print(int(c))
elif s[0]%3==1 and s[1]%3==2:
  a=s[0]-1
  b=s[1]-2
  c=max(a,b)-min(a,b)
  d=(min(a,b)-c)//3
  e=ncr(d*2+c+1,d)%1000000009
  print(int(e))
elif s[0]%3==2 and s[1]%3==1:
  a=s[0]-2
  b=s[1]-1
  c=max(a,b)-min(a,b)
  d=(min(a,b)-c)//3
  e=ncr(d*2+c+1,d)%1000000009
  print(int(e))

Fixed submission:
X,Y=map(int,input().split())
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
mod = 10**9+7
N = 10**6
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]
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 )
if (X+Y)%3!=0:
  print(0)
else:
  n=2*Y-X
  m=2*X-Y
  if n<0 or m<0:
    print(0)
  else:
    n=int(n/3)
    m=int(m/3)
    print(cmb(n+m,m,mod))
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
t=list(map(int,input().split()))
a=int(s)
pp=[]
for i in range(a):
  for j in range(a):
    if t[j]==i+1:
      pp.append(j+1)
      break
print(*pp)

Fixed submission:
s=input()
t=list(map(int,input().split()))
a=int(s)
pp=[0 for i in range(a)]
for i in range(a):
  pp[t[i]-1]=i+1
print(*pp)
Buggy python submission (verdict: Time Limit Exceeded):
t=input()
s=list(map(int,input().split()))
a=int(t)
list=[]
for i in range(a-1):
  if s[i]>=s[i+1]:
    list.append(1)
  else:
    list.append(0)
d=0
for i in range(a-1):
  c=0
  for j in range(i,a-1):
    if list[j]==1:
      c += 1
    else: 
      break
  d=max(d,c)
print(d)

Fixed submission:
t=input()
s=list(map(int,input().split()))
a=int(t)
list=[]
for i in range(a-1):
  if s[i]>=s[i+1]:
    list.append(1)
  else:
    list.append(0)
d=0
c=0
for i in range(a-1):
  if list[i]==1:
    c+=1
    d=max(d,c)
  else:
    c=0
print(d)

Buggy python submission (verdict: Time Limit Exceeded):
t=input()
s=list(map(int,input().split()))
a=int(t)
b=0
c=0
d=0
for i in range(a-1):
  b+=1
  c=0
  for j in range(b,a):
    if s[i]>=s[j]:
      c += 1
      i += 1
      d=max(d,c)
    else: 
      break
print(d)

Fixed submission:
t=input()
s=list(map(int,input().split()))
a=int(t)
list=[]
for i in range(a-1):
  if s[i]>=s[i+1]:
    list.append(1)
  else:
    list.append(0)
d=0
c=0
for i in range(a-1):
  if list[i]==1:
    c+=1
    d=max(d,c)
  else:
    c=0
print(d)
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
a=int(s)
b=0
if a==1:
  print(0)
else:
  for i in range(a):
    b+=i
  print(b)

Fixed submission:
s=input()
a=int(s)
b=0
if a==1:
  print(0)
else:
  b=((a-1)*a)//2
  print(b)
Buggy python submission (verdict: Runtime Error):
s=int(input())
str=input()
if s<3200:
  print(red)
else:
  print(str)

Fixed submission:
s=int(input())
str=input()
if s<3200:
  print("red")
else:
  print(str)