Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import itertools
n,m=map(int,input().split())
A=[]
for i in range(n):
  a,b=map(int,input().split())
  A.append([a,b])
N=[int(i+2) for i in range(n-1)]
def f(list,n):
  path=0
  if [1,list[0]] in A:
    path+=1
  for i in range(1,n-1):
    if [list[i],list[i-1]] in A or [list[i-1],list[i]] in A:
      path+=1
  if path==n-1:
    return 1
  else:
    return 0  
ans=0
for p in itertools.permutations(N,n-1):
  ans+=f(list(p),n)
print(ans)

Fixed submission:
import itertools
n,m=map(int,input().split())
A=[]
for i in range(m):
  a,b=map(int,input().split())
  A.append([a,b])
N=[int(i+2) for i in range(n-1)]
def f(list,n):
  path=0
  if [1,list[0]] in A:
    path+=1
  for i in range(1,n-1):
    if [list[i],list[i-1]] in A or [list[i-1],list[i]] in A:
      path+=1
  if path==n-1:
    return 1
  else:
    return 0  
ans=0
for p in itertools.permutations(N,n-1):
  ans+=f(list(p),n)
print(ans)
Buggy python submission (verdict: Runtime Error):
a,b,c=input()split(",")
print(a,b,c)

Fixed submission:
a,b,c=input().split(",")
print(a,b,c)
Buggy python submission (verdict: Time Limit Exceeded):
k,s=map(int,input().split())
L=[x+y+z for x in range(k+1) for y in range(k+1) for z in range(k+1)]
print(L.count(s))

Fixed submission:
k,s=map(int,input().split())
ans=0
for x in range(k+1):
  for y in range(k+1):
    if s-x-y>=0 and s-x-y<=k:
      ans+=1
print(ans)
Buggy python submission (verdict: Runtime Error):
i,o,t,j,l,s,z=map(int,input().split())
ans=0
if i==0 or j==0 or l==0:
  ans+=o+(i//2)*2+min(j,l)*2
else:
  ans+=o+(i//2)*2+min(j,l)*2
  ans1=o+((i-1)//2)*2+max(0,min(j-1.l-1))*2
print(ans)

Fixed submission:
i,o,t,j,l,s,z=map(int,input().split())
ans=0
if i==0 or j==0 or l==0:
  ans+=o+(i//2)*2+(j//2)*2+(l//2)*2
else:
  ans+=o+(i//2)*2+(j//2)*2+(l//2)*2
  ans1=o+((i-1)//2)*2+((j-1)//2)*2+((l-1)//2)*2+3
  ans=max(ans,ans1)
print(ans)
Buggy python submission (verdict: Runtime Error):
input = sys.stdin.readline
n,k,l=map(int,input().split())

parD,parT=[-1]*n,[-1]*n
def findD(x):
  if parD[x]<0:
    return x
  else:
    parD[x]=findD(parD[x])
    return parD[x]
def uniteD(x,y):
  x=findD(x)
  y=findD(y)
  if x==y:
    return False
  else:
    if parD[x]>parD[y]:
      x,y=y,x
    parD[x]+=parD[y]
    parD[y]=x
    return True
def sameD(x,y):
  return findD(x)==findD(y)
def sizeD(x):
  return -parD[findD(x)]
def findT(x):
  if parT[x]<0:
    return x
  else:
    parT[x]=findT(parT[x])
    return parT[x]
def uniteT(x,y):
  x=findT(x)
  y=findT(y)
  if x==y:
    return False
  else:
    if parT[x]>parT[y]:
      x,y=y,x
    parT[x]+=parT[y]
    parT[y]=x
    return True
def sameT(x,y):
  return findT(x)==findT(y)
def sizeD(x):
  return -parT[findT(x)]


for i in range(k):
  p,q=map(int,input().split())
  uniteD(p-1,q-1)
for i in range(l):
  r,s=map(int,input().split())
  uniteT(r-1,s-1)
for i in range(n):
  findD(i)
  findT(i)
C=[]
for i in range(n):
  if parD[i]<0:
    parD[i]=i
  if parT[i]<0:
    parT[i]=i
Ans=[]
for i in range(n):
  Ans.append((parD[i],parT[i]))
ANS=collections.Counter(Ans)
for i in range(n):
  print(ANS[Ans[i]])

Fixed submission:
import collections
import sys
input = sys.stdin.readline
n,k,l=map(int,input().split())

parD,parT=[-1]*n,[-1]*n
def findD(x):
  if parD[x]<0:
    return x
  else:
    parD[x]=findD(parD[x])
    return parD[x]
def uniteD(x,y):
  x=findD(x)
  y=findD(y)
  if x==y:
    return False
  else:
    if parD[x]>parD[y]:
      x,y=y,x
    parD[x]+=parD[y]
    parD[y]=x
    return True
def sameD(x,y):
  return findD(x)==findD(y)
def sizeD(x):
  return -parD[findD(x)]
def findT(x):
  if parT[x]<0:
    return x
  else:
    parT[x]=findT(parT[x])
    return parT[x]
def uniteT(x,y):
  x=findT(x)
  y=findT(y)
  if x==y:
    return False
  else:
    if parT[x]>parT[y]:
      x,y=y,x
    parT[x]+=parT[y]
    parT[y]=x
    return True
def sameT(x,y):
  return findT(x)==findT(y)
def sizeD(x):
  return -parT[findT(x)]


for i in range(k):
  p,q=map(int,input().split())
  uniteD(p-1,q-1)
for i in range(l):
  r,s=map(int,input().split())
  uniteT(r-1,s-1)
for i in range(n):
  findD(i)
  findT(i)
C=[]
for i in range(n):
  if parD[i]<0:
    parD[i]=i
  if parT[i]<0:
    parT[i]=i
Ans=[]
for i in range(n):
  Ans.append((parD[i],parT[i]))
ANS=collections.Counter(Ans)
for i in range(n):
  print(ANS[Ans[i]])
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
mod=10**9+7
X=[]
for i in range(n):
  X.append([int(input()),0])
for i in range(n):
  X.append([int(input()),1])
X.sort(key=lambda x:x[0])
ct=0
Y=[]
for a,b in X:
  if b==0:
    ct+=1
  else:
    ct-=1
  Y.append(ct)
ans=1
m,mm=0,1
key=0
for i in range(2*n):
  if Y[i]==0:
    ans*=mm
    m,mm=0,1
  elif m==0:
    m=1
    key=X[i][1]
  else:
    if X[i][1]==key:
      m+=1
      mm*=m
    else:
      m-=1
print(ans%mod)


Fixed submission:
n=int(input())
ans=1
mod=10**9+7
A=[0,0]
AB=[]
for i in range(n):
  a=int(input())
  AB.append((a,0))
for i in range(n):
  b=int(input())
  AB.append((b,1))
AB.sort(key=lambda x:x[0])
for i in range(2*n):
  a,b=AB[i]
  if b==0:
    if A[1]>0:
      ans=(ans*A[1])%mod
      A[1]-=1
    else:
      A[0]+=1
  else:
    if A[0]>0:
      ans=(ans*A[0])%mod
      A[0]-=1
    else:
      A[1]+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
mod=10**9+7
X=[]
for i in range(n):
  X.append([int(input()),0])
for i in range(n):
  X.append([int(input()),1])
X.sort(key=lambda x:x[0])
ct=0
Y=[]
for a,b in X:
  if b==0:
    ct+=1
  else:
    ct-=1
  Y.append(ct)
ans=1
m,mm=0,1
key=0
for i in range(2*n):
  if Y[i]==0:
    ans*=mm
    m,mm=0,1
  elif m==0:
    m=1
    key=X[i][1]
  else:
    if X[i][1]==key:
      m+=1
      mm*=m
    else:
      m-=1
print(ans%mod)

Fixed submission:
n=int(input())
ans=1
mod=10**9+7
A=[0,0]
AB=[]
for i in range(n):
  a=int(input())
  AB.append((a,0))
for i in range(n):
  b=int(input())
  AB.append((b,1))
AB.sort(key=lambda x:x[0])
for i in range(2*n):
  a,b=AB[i]
  if b==0:
    if A[1]>0:
      ans=(ans*A[1])%mod
      A[1]-=1
    else:
      A[0]+=1
  else:
    if A[0]>0:
      ans=(ans*A[0])%mod
      A[0]-=1
    else:
      A[1]+=1
print(ans)
Buggy python submission (verdict: Runtime Error):
def f(n):
  for i in range(n):
    if i*(i+1)>=2*n:
      return(i)
      break
n=int(input())
Ans=[]
while n>1:
  Ans.append(f(n))
  n-=f(n)
Ans.append(1)
print(*Ans,sep="\n")

Fixed submission:
n=int(input())
m=1
while m*(m+1)<2*n:
  m+=1
k=m*(m+1)//2-n
for i in range(m):
  if i+1==k:
    continue
  else:
    print(i+1)
Buggy python submission (verdict: Runtime Error):
n,a,b=map(int,input().split())
s=input()
pa,pb=0,0
for i in range(n):
  if s[i]=='a':
    pa+=1
    if pa+prb<=a+b:
      print('Yes')
    else:
      print('No')
  elif s[i]=='b':
    pb+=1
    if pa+pb<=a+b and pb<=b:
      print('Yes')
    else:
      print('No')
  else:
    print('No')

Fixed submission:
n,a,b=map(int,input().split())
s=input()
pa,pb=0,0
for i in range(n):
  if s[i]=='a':
    if pa+pb<a+b:
      pa+=1
      print('Yes')
    else:
      print('No')
  elif s[i]=='b':
    if pa+pb<a+b and pb<b:
      pb+=1
      print('Yes')
    else:
      print('No')
  else:
    print('No')
Buggy python submission (verdict: Runtime Error):
s=input()
k=int(input())
A={}
for i in range(26):
  A[chr(ord('a')+i)]=26-i
C=[]
for ss in s:
  C.append(A[ss])
ans=""
for i in range(len(s)):
  if i==len(s)-1:
    if ord(s[-1])+k>122:
      ans+=chr(ord(s[-1])+k-26)
    else:
      ans+=chr(ord(s[-1])+k)
  elif k>=C[i]:
    ans+="a"
    k-=C[i]
  else:
    ans+=s[i]
print(ans)

Fixed submission:
s=input()
k=int(input())
A={}
for i in range(26):
  A[chr(ord('a')+i)]=26-i
C=[]
for ss in s:
  C.append(A[ss])
ans=""
for i in range(len(s)):
  if i==len(s)-1:
    k%=26
    if ord(s[-1])+k>122:
      ans+=chr(ord(s[-1])+k-26)
    else:
      ans+=chr(ord(s[-1])+k)
  elif s[i]!="a" and k>=C[i]:
    ans+="a"
    k-=C[i]
  else:
    ans+=s[i]
print(ans)

Buggy python submission (verdict: Runtime Error):
s=input()
k=int(input())
A={}
for i in range(26):
  A[chr(ord('a') + i)]=26-i
C=[]
for ss in s:
  C.append(A[ss])
ans=""
for i in range(len(s)):
  if i==len(s)-1:
    ans+=chr(ord(s[-1])+k)
  elif k>=C[i]:
    ans+="a"
    k-=C[i]
  else:
    ans+=s[i]
print(ans)

Fixed submission:
s=input()
k=int(input())
A={}
for i in range(26):
  A[chr(ord('a')+i)]=26-i
C=[]
for ss in s:
  C.append(A[ss])
ans=""
for i in range(len(s)):
  if i==len(s)-1:
    k%=26
    if ord(s[-1])+k>122:
      ans+=chr(ord(s[-1])+k-26)
    else:
      ans+=chr(ord(s[-1])+k)
  elif s[i]!="a" and k>=C[i]:
    ans+="a"
    k-=C[i]
  else:
    ans+=s[i]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n,x=map(int,input().split())
A=[int(i) for i in input().split()]
B=[float("inf")]*n
ans=float("inf")
for i in range(n):
  ans_i=i*x
  for j in range(n):
    B[j]=min(B[j],A[j-i])
    ans_i+=B[j]
  ans=min(ans,ans_i)
print(ans)

Fixed submission:
n,x=map(int,input().split())
A=[int(i) for i in input().split()]
B=[float("inf")]*n
ans=float("inf")
for i in range(n):
  ans_i=i*x
  for j in range(n):
    B[j]=min(B[j],A[j-i])
    ans_i+=B[j]
  ans=min(ans,ans_i)
print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np
n,a=map(int,input().split())
X=[int(i) for i in input().split()]
tot,m=sum(X),max(X)
DP=np.zeros((n+1,n+1,tot+1),dtype=int)
DP[0][0][0]=1
for i in range(1,n+1):
  for j in range(i+1):
    lim=min(j*m,tot)+1
    for s in range(lim):
      DP[i][j][s]=DP[i-1][j][s]+DP[i-1][j-1][s-X[i-1]]
ans=0
for j in range(1,n+1):
  ans+=DP[n][j][j*a]
print(ans)

Fixed submission:
n,a=map(int,input().split())
X=[int(i) for i in input().split()]
DP=[[[0 for i in range(50*n+1)] for i in range(n+1)] for i in range(n+1)]
DP[0][0][0]=1
for i in range(1,n+1):
  for j in range(i+1):
    for s in range(50*j+1):
      DP[i][j][s]=DP[i-1][j][s]+DP[i-1][j-1][s-X[i-1]]
ans=0
for j in range(1,n+1):
  ans+=DP[n][j][j*a]
print(ans)

Buggy python submission (verdict: Runtime Error):
import numpy as np
n,a=map(int,input().split())
X=[int(i) for i in input().split()]
DP=np.zeros((n+1,n+1,50*n+1),dtype=int)
DP[0][0][0]=1
for i in range(1,n+1):
  for j in range(i+1):
    for s in range(50*j+1):
      DP[i][j][s]=DP[i-1][j][s]+DP[i-1][j-1][s-X[i-1]]
ans=0
for j in range(1,n+1):
  ans+=DP[n][j][j*a]
print(ans)


Fixed submission:
n,a=map(int,input().split())
X=[int(i) for i in input().split()]
DP=[[[0 for i in range(50*n+1)] for i in range(n+1)] for i in range(n+1)]
DP[0][0][0]=1
for i in range(1,n+1):
  for j in range(i+1):
    for s in range(50*j+1):
      DP[i][j][s]=DP[i-1][j][s]+DP[i-1][j-1][s-X[i-1]]
ans=0
for j in range(1,n+1):
  ans+=DP[n][j][j*a]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n,a=map(int,input().split())
X=[int(i) for i in input().split()]
DP=np.zeros((n+1,n+1,50*n+1),dtype=int)
DP[0][0][0]=1
for i in range(1,n+1):
  for j in range(i+1):
    for s in range(50*j+1):
      DP[i][j][s]=DP[i-1][j][s]+DP[i-1][j-1][s-X[i-1]]
ans=0
for j in range(1,n+1):
  ans+=DP[n][j][j*a]
print(ans)

Fixed submission:
n,a=map(int,input().split())
X=[int(i) for i in input().split()]
DP=[[[0 for i in range(50*n+1)] for i in range(n+1)] for i in range(n+1)]
DP[0][0][0]=1
for i in range(1,n+1):
  for j in range(i+1):
    for s in range(50*j+1):
      DP[i][j][s]=DP[i-1][j][s]+DP[i-1][j-1][s-X[i-1]]
ans=0
for j in range(1,n+1):
  ans+=DP[n][j][j*a]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n,a=map(int,input().split())
X=list(map(int,input().split()))
def DP(i,j,k):
  if i==0:
    if j==0 and k==0:
      return 1
    else:
      return 0
  else:
    return DP(i-1,j,k)+DP(i-1,j-1,k-X[i-1])
ans=0
for i in range(1,50):
  ans+=DP(n,i,i*a)
print(ans)

Fixed submission:
n,a=map(int,input().split())
X=[int(i) for i in input().split()]
DP=[[[0 for i in range(50*n+1)] for i in range(n+1)] for i in range(n+1)]
DP[0][0][0]=1
for i in range(1,n+1):
  for j in range(i+1):
    for s in range(50*j+1):
      DP[i][j][s]=DP[i-1][j][s]+DP[i-1][j-1][s-X[i-1]]
ans=0
for j in range(1,n+1):
  ans+=DP[n][j][j*a]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
x,k,d=map(int,input().split())
x=abs(x)

if x-k*d>=0:
    print(x-k*d)
else:
    a=x
    while a>d:
        a-=d
        k-=1
    if k%2==0:
        print(min(a,2*d-a))
    else:
        print(min(d-a,a+d))

Fixed submission:
x,k,d=map(int,input().split())
x=abs(x)

if x-k*d>=0:
    print(x-k*d)
else:
    n=x//d
    k-=n
    a=x-n*d
    if k%2==0:
        print(min(a,2*d-a))
    else:
        print(min(d-a,a+d))
Buggy python submission (verdict: Runtime Error):
import itertools
import numpy as np

n,m,x=map(int,input().split())

book=[]

mincost=10**12

for i in range(n):
    l=list(map(int,input().split()))
    book.append(l)

nl=np.array(book)

for i in range(2**n):
    bag=np.array([0]*(m+1))
    for j in range(n):
        if((i>>j)&1):
            bag+=nl[j]
    flag=True
    for j in range(1,m+1):
        if bag[j]<x:
            flag=False
    if flag and bag[0]<mincost:
        mincost=bag[0]

if mincost==10**12:
    mincost=-1
    
print(mincost)

Fixed submission:
import itertools
import numpy as np

n,m,x=map(int,input().split())

book=[]

mincost=10**12

for i in range(n):
    l=list(map(int,input().split()))
    book.append(l)

nl=np.array(book)

for i in range(2**n):
    bag=np.array([0]*(m+1))
    for j in range(n):
        if((i>>j)&1):
            bag+=nl[j]
    flag=True
    for j in range(1,m+1):
        if bag[j]<x:
            flag=False
    if flag and bag[0]<mincost:
        mincost=bag[0]

if mincost==10**12:
    mincost=-1
    
print(mincost)
Buggy python submission (verdict: Runtime Error):
k=int(input())
a,b=map(int,input().split())
flag=False
for i in range(a,b+1):
    if i%k==0:
        flag=true
        break
if flag:
    print("OK")
else:
    print("NG")

Fixed submission:
k=int(input())
a,b=map(int,input().split())
flag=False
for i in range(a,b+1):
    if i%k==0:
        flag=True
        break
if flag:
    print("OK")
else:
    print("NG")
Buggy python submission (verdict: Time Limit Exceeded):
l=[]
n=int(input())
for i in range(n):
    s=input()
    if not s in l:
        l.append(s)
print(len(l))

Fixed submission:
l={}
n=int(input())
for i in range(n):
    s=input()
    if not s in l:
        l[s]=1
print(len(l))

Buggy python submission (verdict: Time Limit Exceeded):
l=[]
n=int(input())
for i in range(n):
    s=input()
    if not s in l:
        l.append(s)
print(len(l))

Fixed submission:
l={}
n=int(input())
for i in range(n):
    s=input()
    if not s in l:
        l[s]=1
print(len(l))
Buggy python submission (verdict: Time Limit Exceeded):
n=list(map(int,input()))
d={}
d[0]=1
a=0
b=len(n)
for i in reversed(range(b)):
    a+=(n[i]*pow(10,(b-i-1)))
    a%=2019
    if not a in d:
        d[a]=1
    else:
        d[a]+=1

ans=0

for s,v in d.items():
    if v>=2:
        ans+=v*(v-1)//2
        
print(ans)

Fixed submission:
n=list(map(int,input()))
d=[0]*2019
d[0]=1
a=0
b=len(n)
for i in reversed(range(b)):
    a+=(n[i]*pow(10,(b-i-1),2019))
    a%=2019
    d[a]+=1

ans=0

for i in range(2019):
    c=d[i]
    ans+=c*(c-1)//2
        
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=list(map(int,input()))
d={}
d[0]=1
a=0
b=len(n)
for i in reversed(range(b)):
    a+=(n[i]*pow(10,(b-i-1)))
    a%=2019
    if not a in d:
        d[a]=1
    else:
        d[a]+=1

ans=0

for s,v in d.items():
    if v>=2:
        ans+=v*(v-1)//2
        
print(ans)

Fixed submission:
n=list(map(int,input()))
d=[0]*2019
d[0]=1
a=0
b=len(n)
for i in reversed(range(b)):
    a+=(n[i]*pow(10,(b-i-1),2019))
    a%=2019
    d[a]+=1

ans=0

for i in range(2019):
    c=d[i]
    ans+=c*(c-1)//2
        
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=list(map(int,input()))
d={}
d[0]=1
a=0
for i in reversed(range(len(n))):
    a+=(n[i]*10**(len(n)-i-1))
    a%=2019
    if not a in d:
        d[a]=1
    else:
        d[a]+=1

ans=0

for s,v in d.items():
    if v>=2:
        ans+=v*(v-1)//2
        
print(ans)

Fixed submission:
n=list(map(int,input()))
d=[0]*2019
d[0]=1
a=0
b=len(n)
for i in reversed(range(b)):
    a+=(n[i]*pow(10,(b-i-1),2019))
    a%=2019
    d[a]+=1

ans=0

for i in range(2019):
    c=d[i]
    ans+=c*(c-1)//2
        
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
b=[(v,s) for s,v in enumerate(a)]
b.sort(reverse=True)

dp=[[0 for i in range(n+1)] for i in range(n+1)]
for i in range(n+1):
    for j in range(n+1-i):
        if i+j==0:
            continue
        v=b[i+j-1][0]
        pos=b[i+j-1][1]
        if i==0:
            dp[0][j]=dp[0][j-1]+v*abs(n-j-pos)
        elif j==0:
            dp[i][0]=dp[i-1][0]+v*abs(i-1-pos)
        else:
            dp[i][j]=max(dp[i-1][j]+v*abs(i-1-pos),dp[i][j-1]+v*abs(n-j-pos))
ans=0
for i in range(n):
    happy=dp[i][n-i]
    if happy>ans:
        ans=happy
print(ans)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
b=[(v,s) for s,v in enumerate(a)]
b.sort(reverse=True)

dp=[[0 for i in range(n+1)] for i in range(n+1)]
for i in range(n+1):
    for j in range(n+1-i):
        if i+j==0:
            continue
        v=b[i+j-1][0]
        pos=b[i+j-1][1]
        if i==0:
            dp[0][j]=dp[0][j-1]+v*abs(n-j-pos)
        elif j==0:
            dp[i][0]=dp[i-1][0]+v*abs(i-1-pos)
        else:
            dp[i][j]=max(dp[i-1][j]+v*abs(i-1-pos),dp[i][j-1]+v*abs(n-j-pos))
ans=0
for i in range(n):
    happy=dp[i][n-i]
    if happy>ans:
        ans=happy
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
b=[(v,s) for s,v in enumerate(a)]
b.sort(reverse=True)

dp=[[0 for i in range(n+1)] for i in range(n+1)]
for i in range(n+1):
    for j in range(n+1):
        if i+j<=n and (i>0 or j>0):
            v=b[i+j-1][0]
            pos=b[i+j-1][1]
            if i==0:
                dp[0][j]=dp[0][j-1]+v*abs(n-j-pos)
            elif j==0:
                dp[i][0]=dp[i-1][0]+v*abs(i-1-pos)
            else:
                dp[i][j]=max(dp[i-1][j]+v*abs(i-1-pos),dp[i][j-1]+v*abs(n-j-pos))
ans=0
for i in range(n):
    happy=dp[i][n-i]
    if happy>ans:
        ans=happy
print(ans)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
b=[(v,s) for s,v in enumerate(a)]
b.sort(reverse=True)

dp=[[0 for i in range(n+1)] for i in range(n+1)]
for i in range(n+1):
    for j in range(n+1-i):
        if i+j==0:
            continue
        v=b[i+j-1][0]
        pos=b[i+j-1][1]
        if i==0:
            dp[0][j]=dp[0][j-1]+v*abs(n-j-pos)
        elif j==0:
            dp[i][0]=dp[i-1][0]+v*abs(i-1-pos)
        else:
            dp[i][j]=max(dp[i-1][j]+v*abs(i-1-pos),dp[i][j-1]+v*abs(n-j-pos))
ans=0
for i in range(n):
    happy=dp[i][n-i]
    if happy>ans:
        ans=happy
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def gcd(p,q):
    while(q!=0):
        r=p%q
        p=q
        q=r
    return p
    
n=int(input())
sum=0
for a in range(1,n+1):
    for b in range(1,n+1):
        for c in range(1,n+1):
            sum+=gcd(a,gcd(b,c))
print(sum)

Fixed submission:
def gcd(p,q):
    while(q!=0):
        r=p%q
        p=q
        q=r
    return p
    
n=int(input())
sum=0
for a in range(1,n+1):
    for b in range(1,n+1):
        for c in range(1,n+1):
            sum+=gcd(a,gcd(b,c))
print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
def sort(a,b,c):
    l=[a,b,c]
    l.sort()
    return l

n=int(input())
s=input()
S=list(enumerate(s))
r=[n for n,v in S if v=='R']
g=[n for n,v in S if v=='G']
b=[n for n,v in S if v=='B']
sum=0
for x in g:
    for y in r:
        for z in b:
            i,j,k=sort(x,y,z)
            if k-j!=j-i:
                sum+=1
print(sum)

Fixed submission:
def sort(a,b,c):
    l=[a,b,c]
    l.sort()
    return l

n=int(input())
s=input()
r=s.count('R')
g=s.count('G')
b=s.count('B')
sum=r*g*b
for i in range(n-2):
    for j in range(i+1,n-1):
        k=2*j-i
        if k<n and s[i]!=s[j] and s[i]!=s[k] and s[j]!=s[k]:
            sum-=1
print(sum)

Buggy python submission (verdict: Time Limit Exceeded):
def sort(a,b,c):
    l=[a,b,c]
    l.sort()
    return l

n=int(input())
s=input()
S=list(enumerate(s))
r=[n for n,v in S if v=='R']
g=[n for n,v in S if v=='G']
b=[n for n,v in S if v=='B']
sum=0
for x in g:
    for y in r:
        for z in b:
            i,j,k=sort(x,y,z)
            if k-j!=j-i:
                sum+=1
print(sum)

Fixed submission:
def sort(a,b,c):
    l=[a,b,c]
    l.sort()
    return l

n=int(input())
s=input()
r=s.count('R')
g=s.count('G')
b=s.count('B')
sum=r*g*b
for i in range(n-2):
    for j in range(i+1,n-1):
        k=2*j-i
        if k<n and s[i]!=s[j] and s[i]!=s[k] and s[j]!=s[k]:
            sum-=1
print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
mod=10**9+7
ans=0
l=[0]*(k+1)

for i in range(k,0,-1):
    l[i]=(k//i)**n%mod
    for j in range(2*i,k+1,i):
        l[i]-=l[j]
        l[i]%=mod
    ans+=l[i]*i
    ans%=mod

print(ans)

Fixed submission:
n,k=map(int,input().split())
mod=10**9+7
ans=0
l=[0]*(k+1)
 
for i in range(k,0,-1):
    l[i]=pow(k//i,n,mod)
    for j in range(2*i,k+1,i):
        l[i]-=l[j]
        l[i]%=mod
    ans+=l[i]*i
    ans%=mod
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
mod=10**9+7
ans=0
l=[0]*(k+1)

for i in range(k,0,-1):
    l[i]=(k//i)**n%mod
    for j in range(2*i,k+1,i):
        l[i]-=l[j]
        l[i]%=mod
    ans+=l[i]*i
    ans%=mod

print(ans)

Fixed submission:
n,k=map(int,input().split())
mod=10**9+7
ans=0
l=[0]*(k+1)
 
for i in range(k,0,-1):
    l[i]=pow(k//i,n,mod)
    for j in range(2*i,k+1,i):
        l[i]-=l[j]
        l[i]%=mod
    ans+=l[i]*i
    ans%=mod
 
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
n,k=map(int,input().split())
mod=pow(10,9)+7
ans=0
l=[0]*(k+1)

for i in reversed(range(1,k+1)):
    l[i]=pow(math.floor(k/i),n)%mod
    a=2*i
    while a<=k:
        l[i]-=l[a]
        a+=i
    ans+=l[i]*i%mod

for i in range(n+1):
    print(i,l[i])

print(ans)

Fixed submission:
n,k=map(int,input().split())
mod=10**9+7
ans=0
l=[0]*(k+1)
 
for i in range(k,0,-1):
    l[i]=pow(k//i,n,mod)
    for j in range(2*i,k+1,i):
        l[i]-=l[j]
        l[i]%=mod
    ans+=l[i]*i
    ans%=mod
 
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def warshallFloyd(n,l):
    for k in range(n):
        for i in range(n):
            for j in range(n):
                l[i][j]=min(l[i][j],l[i][k]+l[k][j])
    return l

n,x,y=map(int,input().split())
l=[[float('inf') for i in range(n)] for i in range(n)]

for i in range(n):
    l[i][i]=0
for i in range(n-1):
    l[i][i+1]=1
    l[i+1][i]=1
l[x-1][y-1]=1
l[y-1][x-1]=1

distance=warshallFloyd(n,l)

ans=[0]*n

for i in range(n-1):
    for j in range(i+1,n):
        ans[distance[i][j]]+=1
        
for i in range(1,n):
    print(ans[i])

Fixed submission:
n,x,y=map(int,input().split())
ans=[0]*n
for i in range(1,n):
    for j in range(i+1,n+1):
        distance=min(j-i,abs(x-i)+1+abs(j-y))
        ans[distance]+=1
for i in range(1,n):
    print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
import queue

d={}
q=queue.Queue()
n=int(input())
nums=list(map(int,input().split()))
for a in nums:    
    if not a in d:
        d[a]=1
    else:
        d[a]+=1
    q.put(a)

while not q.empty():
    answer=0
    p=q.get()
    for num,count in d.items():
        if p==num:
            answer+=int((count-1)*(count-2)/2)
        else:
            answer+=int(count*(count-1)/2)
    print(answer)

Fixed submission:
d={}
s=[]

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

for a in nums:    
    if not a in d:
        d[a]=1
    else:
        d[a]+=1
    s.append(a)
    
allcount=0

for count in d.values():
    allcount+=int(count*(count-1)/2)

for num in s:
    print(allcount-d[num]+1)
Buggy python submission (verdict: Runtime Error):
import re
print("Yes")　if re.fullmatch(r'(hi)+',input())　else　print("No")

Fixed submission:
import re
s=input()
if re.fullmatch(r'(hi)+',s):
    print("Yes")
else:
    print("No")