Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=[]
A.append(int(input()))
a=set(A)
print(len(a))

Fixed submission:
N=int(input())
A=[]
for i in range(N):
  A.append(input())
a=set(A)
print(len(a))

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))
a=set(A)
print(len(a))

Fixed submission:
N=int(input())
A=[]
for i in range(N):
  A.append(input())
a=set(A)
print(len(a))
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
for i in range(1,max(A)+1):
  print(A.count(i))
for j in range(max(A)+1,N+1):
  print(0)

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
import collections
c=collections.Counter(A)
for i in range(1,N+1):
  print(c[i])

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))

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
import collections
c=collections.Counter(A)
for i in range(1,N+1):
  print(c[i])
Buggy python submission (verdict: Runtime Error):
N=input()
if N[0]='7' or N[1]='7' or N[2]='7':
  print('Yes')
else:
  print('No')

Fixed submission:
N=input()
if N[0]=='7' or N[1]=='7' or N[2]=='7':
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=list(input())
import collections
c=collections.Counter(S)
if len(c)==3:
  
  u=1
  for i in c.values():
    u=u*i 
  for i in range(N-2):
    for j in range(i+1,int((N-1+i)/2)+1):
      if 2*j-i<=N-1:
      
        if set([S[i],S[j],S[2*j-i]])=={'B','R','G'} :
          u=u-1
  print(u)       
else:
  print(0)

Fixed submission:
N=int(input())
S=list(input())
import collections
c=collections.Counter(S)
if len(c)==3:
  
  u=1
  for i in c.values():
    u=u*i 
  for i in range(N-2):
    for j in range(i+1,int((N-1+i)/2)+1):
      
        if set([S[i],S[j],S[2*j-i]])=={'B','R','G'} :
          u=u-1
  print(u)       
else:
  print(0)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=list(input())
import collections
c=collections.Counter(S)
if len(c)==3:
  
  u=1
  for i in c.values():
    u=u*i 
  for i in range(N-2):
    for j in range(i+1,N-1):
      if 2*j-i<=N-1:
      
        if set([S[i],S[j],S[2*j-i]])=={'B','R','G'} :
          u=u-1
  print(u)       
else:
  print(0)
     

Fixed submission:
N=int(input())
S=list(input())
import collections
c=collections.Counter(S)
if len(c)==3:
  
  u=1
  for i in c.values():
    u=u*i 
  for i in range(N-2):
    for j in range(i+1,int((N-1+i)/2)+1):
      
        if set([S[i],S[j],S[2*j-i]])=={'B','R','G'} :
          u=u-1
  print(u)       
else:
  print(0)
Buggy python submission (verdict: Runtime Error):
x,y,z=map(int,input().split())
print(z+' '+x+' '+y)

Fixed submission:
x,y,z=map(str,input().split())
a=[z,x,y]
print(' '.join(a))
Buggy python submission (verdict: Runtime Error):
x,y,a,b,c,=map(int,input().split())
p=list(map(int,input().split()))
q=list(map(int,input().split()))
r=list(map(int,input().split()))
p.sort(reverse=True)
q.sort(reverse=True)
r.sort(reverse=True)
p=p[:x]
q=q[:y]
ans=p+q
ans.sort(reverse=True)
ans=[0]+ans
nowi=x+y
r=[0]+r
nowr=0
while nowr<=c+1 and nowi>0 and r[nowr+1]>ans[nowi]:
  nowi+=-1
  nowr+=1
ans_=0
for i in range(nowi+1):
  ans_+=ans[i]
for j in range(nowr+1):
  ans_+=r[j]
print(ans_)

Fixed submission:
x,y,a,b,c,=map(int,input().split())
p=list(map(int,input().split()))
q=list(map(int,input().split()))
r=list(map(int,input().split()))
p.sort(reverse=True)
q.sort(reverse=True)
r.sort(reverse=True)
p=p[:x]
q=q[:y]
ans=p+q+r
ans.sort(reverse=True)
print(sum(ans[:x+y]))
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
dic={}
for i in set(A):
  dic[i]=A.count(i) 

c=0
for i in dic.values():
  c+=i*(i-1)/2
for j in range(1,N+1):
  d=c-dic[A[j-1]]+1
  print(int(d))
  

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
dic={}
for a in A:
  if a in dic:
    dic[a]+=1
  else:
    dic[a]=1
   

c=0
for i in dic.values():
  c+=i*(i-1)/2
for j in range(1,N+1):
  d=c-dic[A[j-1]]+1
  print(int(d))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
dic={}
for i in set(A):
  dic[i]=A.count(i) 
def ans(k,dic):
  dic[A[k-1]]+=-1
  c=0
  for i in dic.values():
    c+=i*(i-1)/2
  dic[A[k-1]]+=1  
  return int(c)
for k in range(1,N+1):
  print(ans(k,dic))
      

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
dic={}
for a in A:
  if a in dic:
    dic[a]+=1
  else:
    dic[a]=1
   

c=0
for i in dic.values():
  c+=i*(i-1)/2
for j in range(1,N+1):
  d=c-dic[A[j-1]]+1
  print(int(d))

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))
dic={}
for i in set(A):
  dic[i]=A.count(i) 
def ans(k,dic):
  dic[A[k-1]]+=-1
  c=0
  for i in dic.values():
    c+=i*(i-1)/2
  dic[A[k-1]]+=1  
  return int(c)
for k in range(1,N+1):

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
dic={}
for a in A:
  if a in dic:
    dic[a]+=1
  else:
    dic[a]=1
   

c=0
for i in dic.values():
  c+=i*(i-1)/2
for j in range(1,N+1):
  d=c-dic[A[j-1]]+1
  print(int(d))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
dic={}
for i in range(len(A)):
  if A[i] in dic:
    dic[A[i]]+=1
  else:
    dic[A[i]]=1    
def ans(k,dic):
  dic[A[k-1]]+=-1
  c=0
  for i in dic.values():
    c+=i*(i-1)/2
  dic[A[k-1]]+=1  
  return int(c)
for k in range(1,N+1):
  print(ans(k,dic))

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
dic={}
for a in A:
  if a in dic:
    dic[a]+=1
  else:
    dic[a]=1
   

c=0
for i in dic.values():
  c+=i*(i-1)/2
for j in range(1,N+1):
  d=c-dic[A[j-1]]+1
  print(int(d))
Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())
import math
if 4*a*b<(c-a-b)**2 and c-a-b>=0
  print('Yes')
else:
  print('No')


Fixed submission:
a,b,c=map(int,input().split())
import math
if 4*a*b<(c-a-b)**2 and c-a-b>=0:
  print('Yes')
else:
  print('No')

Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())
import math
if 4*a*b<(c-a-b)**2
  print('Yes')
else:
  print('No')


Fixed submission:
a,b,c=map(int,input().split())
import math
if 4*a*b<(c-a-b)**2 and c-a-b>=0:
  print('Yes')
else:
  print('No')

Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())
import math
if 4a*b<(c-a-b)**2
  print('Yes')
else:
  print('No')


Fixed submission:
a,b,c=map(int,input().split())
import math
if 4*a*b<(c-a-b)**2 and c-a-b>=0:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
S=input()
S_=list(S)
Q=int(input())
F1=[]
F2=[]
Q_=[]
for i in range(4):
  Q_.append(list(input().split()))
count=0  
for i in range(len(Q_)):
  if Q_[i]==['1']:
    count+=1
  elif Q_[i][0:2]==['2','1']:
    if count%2==0:
      F1.append(Q_[i][2])
    else:
      F2.append(Q_[i][2])
  else:
    if count%2==0:
      F2.append(Q_[i][2])
    else:
      F1.append(Q_[i][2])
SS=F1[::-1]+S_+F2                
if count%2==0:
  print(''.join(SS))
else:
  print(''.join(SS[::-1]))
    

Fixed submission:
S=input()
S_=list(S)
Q=int(input())
F1=[]
F2=[]
Q_=[]
for i in range(Q):
  Q_.append(list(input().split()))
count=0  
for i in range(len(Q_)):
  if Q_[i]==['1']:
    count+=1
  elif Q_[i][0:2]==['2','1']:
    if count%2==0:
      F1.append(Q_[i][2])
    else:
      F2.append(Q_[i][2])
  else:
    if count%2==0:
      F2.append(Q_[i][2])
    else:
      F1.append(Q_[i][2])
SS=F1[::-1]+S_+F2                
if count%2==0:
  print(''.join(SS))
else:
  print(''.join(SS[::-1]))
Buggy python submission (verdict: Runtime Error):
N=int(input())
a=list(map(int,input().split()))
s=[]
for i in range(101):
  m=0  
  for j in range(0,len(a)):
    m+=(a[j]-i)**2
  s.append(m)
print(min(s))    


Fixed submission:
N,R=map(int,input().split())
u=0
if N>=10:
  u=R
else:
  u=R+100*(10-N)
print(u)

Buggy python submission (verdict: Runtime Error):
N=int(input())
a=list(map(int,input().split()))
s=[]
for i in range(max(a)):
  m=0  
  for j in range(0,len(a)):
    m+=(a[j]-i)**2
  s.append(m)
print(min(s))    


Fixed submission:
N,R=map(int,input().split())
u=0
if N>=10:
  u=R
else:
  u=R+100*(10-N)
print(u)
Buggy python submission (verdict: Runtime Error):
n=int(input())
s=[]
for _ in range(n):
  s.append(input())
import collections
d=collections.Counter(s)
largest=max(list(d.values()))
ans=[]
for key in d.keys():
  if d[key]==largest:
    ans.append(key)
ans.sort()
while len(ans)>0:
  print(ans.popleft(-1))
  
  


Fixed submission:
n=int(input())
s=[]
for _ in range(n):
  s.append(input())
import collections
d=collections.Counter(s)
largest=max(list(d.values()))
ans=[]
for key in d.keys():
  if d[key]==largest:
    ans.append(key)
ans.sort()
for _ in range(len(ans)):
  print(ans[_])

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=[]
for _ in range(n):
  s.append(input())
import collections
d=collections.Counter(s)
largest=max(list(d.values()))
ans=[]
for key in d.keys():
  if d[key]==largest:
    ans.append(key)
ans.sort()
while len(ans)>0:
  print(ans.pop(0))
  
  

Fixed submission:
n=int(input())
s=[]
for _ in range(n):
  s.append(input())
import collections
d=collections.Counter(s)
largest=max(list(d.values()))
ans=[]
for key in d.keys():
  if d[key]==largest:
    ans.append(key)
ans.sort()
for _ in range(len(ans)):
  print(ans[_])
Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
p=list(map(int,input().split()))
p_=[0]*N
for a in range(N):
    p_[a]=(1+p[a])/2
A=[]          
for i in range(N-K+1):
            A.append(sum(p_[i:i+K]))
print(max(A))


Fixed submission:
s,t=input().split()
a,b=map(int,input().split())
u=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=list(map(int,input().split()))

p_=[]
for i in range(len(p)):
  p_.append((1+p[i])/2)
ans=0
for i in range(N+2-K):
  s=sum(p_[i:i+K])
  ans=max(ans,s)
print(ans)

Fixed submission:
N,K=map(int,input().split())
p=list(map(int,input().split()))

p_=[]
for i in range(len(p)):
  p_.append((1+p[i])/2)
 
import itertools
c=list(itertools.accumulate(p_))

ans=0
if N!=K:
  
  for i in range(0,N-K):
    s=c[i+K]-c[i]
    ans=max(ans,s)
else:
  ans=c[K-1]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
p=list(map(int,input().split()))

A=[]          
for i in range(N-K+1):
            A.append(sum(p[i:i+K]))
print((max(A)+K)/2)


Fixed submission:
N,K=map(int,input().split())
p=list(map(int,input().split()))

p_=[]
for i in range(len(p)):
  p_.append((1+p[i])/2)
 
import itertools
c=list(itertools.accumulate(p_))

ans=0
if N!=K:
  
  for i in range(0,N-K):
    s=c[i+K]-c[i]
    ans=max(ans,s)
else:
  ans=c[K-1]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
p=list(map(int,input().split()))
p_=[0]*N
for a in range(N):
    p_[a]=(1+p[a])/2
A=[]          
for i in range(N-K+1):
            A.append(sum(p_[i:i+K]))
print(max(A))

Fixed submission:
N,K=map(int,input().split())
p=list(map(int,input().split()))

p_=[]
for i in range(len(p)):
  p_.append((1+p[i])/2)
 
import itertools
c=list(itertools.accumulate(p_))

ans=0
if N!=K:
  
  for i in range(0,N-K):
    s=c[i+K]-c[i]
    ans=max(ans,s)
else:
  ans=c[K-1]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
p=list(map(int,input().split()))
p_=[i for i in range(N)]
for a in range(N):
    p_[a]=(1+p[a])/2
A=[]          
for i in range(N-K+1):
            A.append(sum(p_[i:i+K]))
print(max(A))


Fixed submission:
N,K=map(int,input().split())
p=list(map(int,input().split()))

p_=[]
for i in range(len(p)):
  p_.append((1+p[i])/2)
 
import itertools
c=list(itertools.accumulate(p_))

ans=0
if N!=K:
  
  for i in range(0,N-K):
    s=c[i+K]-c[i]
    ans=max(ans,s)
else:
  ans=c[K-1]
print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
ans=[0]*n
c=1
for i in range(n):
  if a[i]==c:
    ans[i]=1
    c+=1
print(n-sum(ans))    

Fixed submission:
a=int(input())
b=int(input())
print(6-a-b)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
ans=[0]*n
c=1
for i in range(n):
  if a[i]==c:
    ans[i]=1
    c+=1
print(n-sum(ans))    

Fixed submission:
n=int(input())
if n%2==1:
  print(0)
  exit()
else:
  ans=0
  u=10
  while n//u>=1:
    ans+=n//u
    u=u*5
  print(int(ans))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
keta=[0]*61
for i in range(n):
  for j in range(61):
    if (a[i]>>j)&1==1:
      keta[j]+=1
ans=0
for i in range(61):
  ans+=((2**i)*(n-keta[i])*keta[i])%(10**9+7)
print(ans%(10**9+7))  

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
keta=[0]*61
for i in range(n):
  for j in range(61):
    if (a[i]>>j)&1==1:
      keta[j]+=1
ans=0
for i in range(61):
  ans+=((2**i)*(n-keta[i])*keta[i])%(10**9+7)
print(ans%(10**9+7))
Buggy python submission (verdict: Runtime Error):
print(r**2)

Fixed submission:
r=int(input())
print(r**2)
Buggy python submission (verdict: Runtime Error):
x,y=map(int,input().split())
a=-1
p=10**9+7
for i in range(x//2+1):
  if i+2*(x-2*i)==y:
    a=i
    break
if a==-1:
  print(0)
  exit()
elif a==0:
  print(1)
else:
  gyaku=[0,1]
  for i in range(2,a+1):
    gyaku.append(((p//i)*-gyaku[p%i])%p)
  com=[1]
  for i in range(1,a+1):
    com.append(com[-1]*gyaku[i]*(x-a+1-i)%p)
　　print(com[a])


Fixed submission:
x,y=map(int,input().split())
a=-1
p=10**9+7
for i in range(x//2+1):
  if i+2*(x-2*i)==y:
    a=i
    break
if a==-1:
  print(0)
  exit()
elif a==0:
  print(1)
  exit()
else:
  gyaku=[0,1]
  for i in range(2,a+1):
    gyaku.append(((p//i)*-gyaku[p%i])%p)
  com=[1]
  for i in range(1,a+1):
    com.append(com[-1]*gyaku[i]*(x-a+1-i)%p)
print(com[-1])

Buggy python submission (verdict: Runtime Error):
x,y=map(int,input().split())
a=-1
p=10**9+7
for i in range(x//2+1):
  if i+2*(x-2*i)==y:
    a=i
    break
if a==-1:
  print(0)
  exit()
elif a==0:
  print(1)
else:
  gyaku=[0,1]
  for i in range(2,a+1):
    gyaku.append(((p//i)*-gyaku[p%i])%p)
  com=[1]
  for i in range(1,a+1):
    com.append(com[-1]*gyaku[i]*(x-a+1-i)%p)
print(com[a])


Fixed submission:
x,y=map(int,input().split())
a=-1
p=10**9+7
for i in range(x//2+1):
  if i+2*(x-2*i)==y:
    a=i
    break
if a==-1:
  print(0)
  exit()
elif a==0:
  print(1)
  exit()
else:
  gyaku=[0,1]
  for i in range(2,a+1):
    gyaku.append(((p//i)*-gyaku[p%i])%p)
  com=[1]
  for i in range(1,a+1):
    com.append(com[-1]*gyaku[i]*(x-a+1-i)%p)
print(com[-1])
Buggy python submission (verdict: Runtime Error):
import math
a,b,x=map(int,input().split())
s=2*x/a/a
s_=s-b
print(90-360/(2*math.pi)*math.atan(a/(b-s_)))

Fixed submission:
import math
a,b,x=map(int,input().split())
s=2*x/a**2
s_=s-b
if 0<=s_<b:
  print(90-360/2/math.pi*math.atan(a/(b-s_)))
elif s_==b:
  print(0)
else:
  u=2*x/a/b
  print(90-360/2/math.pi*math.atan(u/b))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
l=list(map(int,input().split()))
l.sort()
c=0
for i in range(n-2):
  for j in range(i+1,n-1):
    for k in range(j+1,n):
      if l[i]+l[j]>l[k]:
        c+=1
print(c)    

Fixed submission:
n=int(input())
l=list(map(int,input().split()))
l.sort(reverse=True)
c=0
for i in range(n-2):
  for j in range(i+1,n-1):
    u=l[i]-l[j]
    if l[j+1]<=u:
      break
    ok=j+1
    ng=n
    while ng-ok>1:
      center=(ok+ng)//2
      if l[center]>u:
        ok=center
      else:
        ng=center
    c+=ng-j-1
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
l=list(map(int,input().split()))
c=0
for i in range(n-2):
  for j in range(i+1,n-1):
    for k in range(j+1,n):
      if l[i]+l[j]>l[k] and l[i]+l[k]>l[j] and l[j]+l[k]>l[i]:
        c+=1
print(c)        
      

Fixed submission:
n=int(input())
l=list(map(int,input().split()))
l.sort(reverse=True)
c=0
for i in range(n-2):
  for j in range(i+1,n-1):
    u=l[i]-l[j]
    if l[j+1]<=u:
      break
    ok=j+1
    ng=n
    while ng-ok>1:
      center=(ok+ng)//2
      if l[center]>u:
        ok=center
      else:
        ng=center
    c+=ng-j-1
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=[]
for i in range(N):
  A.append(list(input()))
c=0  
for i in range(len(A)-1):
  for j in range(i+1,len(A)):
    if sorted(A[i])==sorted(A[j]):
      c+=1
print(c)      
  


Fixed submission:
N=int(input())
dic={}
for i in range(N):
  s=sorted(list(input()))
  s="".join(s)
  if s in dic:
    dic[s]+=1
  else:
    dic[s]=1
count=0
u=len(dic)
for i in range(u):
  kk=dic.popitem()
  count+=kk[1]*(kk[1]-1)/2
print(int(count))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=[]
for i in range(N):
  A.append(list(input()))
c=0  
for i in range(len(A)-1):
  for j in range(i+1,len(A)):
    if sorted(A[i])==sorted(A[j]):
      c+=1
print(c)      
  


Fixed submission:
N=int(input())
dic={}
for i in range(N):
  s=sorted(list(input()))
  s="".join(s)
  if s in dic:
    dic[s]+=1
  else:
    dic[s]=1
count=0
u=len(dic)
for i in range(u):
  kk=dic.popitem()
  count+=kk[1]*(kk[1]-1)/2
print(int(count))
Buggy python submission (verdict: Runtime Error):
s=int(input())
if s+1<=10**9:
  b=str(s+1)
  a=['0','0',b,'1','1','1']
else:
  a=int(s**(1/2))
  if a**2>=s:
    a_=a
  else:
    if a*(a+1)>=s:
      a_=a+1
    else:
      if a*(a+2)>=s and a+2<=10**9:
        a_+=2
      else:
        a_+=1
        a+=1
  x2=str(a)
  y3=str(a_)
  
  y2=str(1)
  x3=str(int(x2)*int(y3)-s)
  x1=str(0)
  y1=str(0)
  a=[x1,y1,x2,y2,x3,y3]
print((' ').join(a))


Fixed submission:
s=int(input())
if s+1<=10**9:
  b=str(s+1)
  a=['0','0',b,'1','1','1']
else:
  x2=int(s**(1/2))
  y3=int(s**(1/2))
  while x2*y3<s:
    y3+=1
  if y3>10**9:
    x2+=1
    y3=int(s**(1/2))+1
  x2=str(x2)
  y3=str(y3)
  
  y2=str(1)
  x3=str(int(x2)*int(y3)-s)
  x1=str(0)
  y1=str(0)
  a=[x1,y1,x2,y2,x3,y3]
print((' ').join(a))
Buggy python submission (verdict: Time Limit Exceeded):
A,B,C,D=map(int,input().split())
a={i for i in range(A,B+1)}
b=set()
c=set()
u=B//C
t=B//D
for i in range(1,u+1):
  b.add(i*C)
for j in range(1,t+1):
  c.add(j*D)
print(len(a-b-c))  


Fixed submission:
A,B,C,D=map(int,input().split())

def unko(x,C,D):
  import fractions
  t=int(fractions.gcd(C,D))
  t_=C*D//t
  return x-(x//C+x//D-x//t_)
print(int(unko(B,C,D)-unko(A-1,C,D)))

Buggy python submission (verdict: Time Limit Exceeded):
A,B,C,D=map(int,input().split())
a={i for i in range(A,B+1)}
b=set()
c=set()
for i in range(A,B+1):
  if i%C==0:
    b.add(i)
  
for i in range(A,B+1):
  if i%D==0:
    c.add(i)
print(len(a-b-c))


Fixed submission:
A,B,C,D=map(int,input().split())

def unko(x,C,D):
  import fractions
  t=int(fractions.gcd(C,D))
  t_=C*D//t
  return x-(x//C+x//D-x//t_)
print(int(unko(B,C,D)-unko(A-1,C,D)))
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
e=[0]*(k)
e[-2]=1
now=k
while now!=1:
  if now%2==0 and now!=2:
    now=now//2
    e[now-2]+=1
  elif now==2:
    now+=-1
    e[now-1]+=1
  else:
    now=now//2
    e[now-1]+=1
e_=[]
for i in range(k):
  if i==0:
    e_.append(e[k-1-i])
  else:
    e_.append(e[k-1-i]+e_[-1])   
ans=0    
if n<k:
  for i in range(n):
    ans+=((1/2)**e_[k-1-i])*(1/n)
  print(ans)  
else:
  for i in range(k):
    ans+=((1/2)**e_[k-1-i])*(1/n)
  ans+=(1/n)*(n-k)
  print(ans)


Fixed submission:
n,k=map(int,input().split())
d=0
for a in range(1,n+1):
  b=0
  while a<k:
    b+=1
    a=a*2
  d+=(1/2)**b
print(d/n)

Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
e=[0]*(k)
e[-2]=1
now=k
while now!=1:
  if now%2==0 and now!=2:
    now=now//2
    e[now-2]+=1
  elif now==2:
    now+=-1
    e[now-1]+=1
  else:
    now=now//2
    e[now-1]+=1
e_=[]
for i in range(k):
  if i==0:
    e_.append(e[k-1-i])
  else:
    e_.append(e[k-1-i]+e_[-1])   
ans=0    
if n<k:
  for i in range(n):
    ans+=((1/2)**e_[k-1-i])*(1/n)
  print(ans)  
else:
  for i in range(k):
    ans+=((1/2)**e_[k-1-i])*(1/n)
  ans+=(1/n)*(n-k)
  print(ans)

Fixed submission:
n,k=map(int,input().split())
d=0
for a in range(1,n+1):
  b=0
  while a<k:
    b+=1
    a=a*2
  d+=(1/2)**b
print(d/n)
Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
visit=[0]*n
B=[list() for _ in range(n)]
for _ in range(m):
  a,b=map(int,input().split())
  visit[a-1]+=1
  B[b-1].append(a)
dp=[0]*n
from collections import deque
for i in range(n):
  if visit[i]==0:
    d=deque()
    d.append(i+1)
    while d:
      now=d.pop()
      for j in B[now-1]:
        d.append(j)
        dp[j-1]=max(dp[j-1],dp[now-1]+1)
print(max(dp))        
   


Fixed submission:
n=int(input())
dp=[0]*n
h=list(map(int,input().split()))
for i in range(1,n):
  if i-2>=0:
     dp[i]=min(dp[i-1]+max(h[i]-h[i-1],h[i-1]-h[i]),dp[i-2]+max(h[i]-h[i-2],h[i-2]-h[i]))
  else:
    dp[i]=dp[i-1]+max(h[i]-h[i-1],h[i-1]-h[i])
print(dp[n-1])

Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
h=list(map(int,input().split()))
dp=[0]*n
for i in range(n):
  g=[]
  for j in range(1,k+1):
    if 0<=i-j<=n-1:
       g.append(dp[i-j]+abs(h[i]-h[i-j]))
  if g!=[]:
    dp[i]=min(g)
  else:
    dp[i]=0
print(dp[n-1])


Fixed submission:
n=int(input())
dp=[0]*n
h=list(map(int,input().split()))
for i in range(1,n):
  if i-2>=0:
     dp[i]=min(dp[i-1]+max(h[i]-h[i-1],h[i-1]-h[i]),dp[i-2]+max(h[i]-h[i-2],h[i-2]-h[i]))
  else:
    dp[i]=dp[i-1]+max(h[i]-h[i-1],h[i-1]-h[i])
print(dp[n-1])
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
h=list(map(int,input().split()))
dp=[0]*n
for i in range(n):
  g=[]
  for j in range(1,k+1):
    if 0<=i-j<=n-1:
       g.append(dp[i-j]+abs(h[i]-h[i-j]))
  if g!=[]:
    dp[i]=min(g)
  else:
    dp[i]=0
print(dp[n-1])

Fixed submission:
n,k=map(int,input().split())
h=list(map(int,input().split()))
dp=[0]*n
for i in range(n):
  g=[]
  for j in range(1,k+1):
    if 0<=i-j<=n-1:
       g.append(dp[i-j]+abs(h[i]-h[i-j]))
  if g!=[]:
    dp[i]=min(g)
  else:
    dp[i]=0
print(dp[n-1])
Buggy python submission (verdict: Time Limit Exceeded):
n,w=map(int,input().split())
W=[0]*n
V=[0]*n
for i in range(n):
  W[i],V[i]=map(int,input().split())
dp=[[0]*(w+1) for _ in range(n+1)]  
for i in range(1,n+1):
  for j in range(1,w+1):
    if j-W[i-1]>=0:
      dp[i][j]=max(dp[i-1][j],dp[i-1][j-W[i-1]]+V[i-1])
    else:
      dp[i][j]=dp[i-1][j]
print(dp[n][w])      


Fixed submission:
n,w=map(int,input().split())
W=[0]*n
V=[0]*n
for i in range(n):
  W[i],V[i]=map(int,input().split())
dp=[[0]*(w+1) for _ in range(n+1)]  
for i in range(1,n+1):
  for j in range(1,w+1):
    if j-W[i-1]>=0:
      dp[i][j]=max(dp[i-1][j],dp[i-1][j-W[i-1]]+V[i-1])
    else:
      dp[i][j]=dp[i-1][j]
print(dp[n][w])
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
t=input()
dp=[[0]*(len(t)+1) for _ in range(len(s)+1)]
for i in range(len(s)):
  for j in range(len(t)):
    if s[i]==t[j]:
      dp[i+1][j+1]=dp[i][j]+1
    else:
      dp[i+1][j+1]=max(dp[i+1][j],dp[i][j+1])
len_=dp[len(s)][len(t)]
s_now=len(s)
t_now=len(t)
ans=''
if len_==0:
  print(ans)
  exit()
while len_>0:
  if s[s_now-1]==t[t_now-1]:
    ans=ans+s[s_now-1]
    len_+=-1
    s_now+=-1
    t_now+=-1
    
  else:
    if dp[s_now][t_now]==dp[s_now][t_now-1]:
      t_now=t_now-1
    elif dp[s_now][t_now]==dp[s_now-1][t_now]:
      s_now=s_now-1
ans=ans[::-1]
print(ans)



Fixed submission:
s=input()
t=input()
dp=[[0]*(len(t)+1) for _ in range(len(s)+1)]
for i in range(len(s)):
  for j in range(len(t)):
    if s[i]==t[j]:
      dp[i+1][j+1]=dp[i][j]+1
    else:
      dp[i+1][j+1]=max(dp[i+1][j],dp[i][j+1])
len_=dp[len(s)][len(t)]
s_now=len(s)
t_now=len(t)
ans=''
if len_==0:
  print(ans)
  exit()
while len_>0:
  if s[s_now-1]==t[t_now-1]:
    ans=ans+s[s_now-1]
    len_+=-1
    s_now+=-1
    t_now+=-1
    
  else:
    if dp[s_now][t_now]==dp[s_now][t_now-1]:
      t_now=t_now-1
    elif dp[s_now][t_now]==dp[s_now-1][t_now]:
      s_now=s_now-1
ans=ans[::-1]
print(ans)