Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
p = list(map(int, input().split()))
 
p.sort()
 
i = 0
price = 0
while i < k:
  price += p[i]
  i ++
  
print(price)

Fixed submission:
n, k = map(int, input().split())
p = list(map(int, input().split()))
p.sort()

i = 0
price = 0
while i < k:
  price += p[i]
  i += 1
 
print(price)

Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
p = list(map(int, input().split()))
 
p.sort()
 
i = 0
while i < k:
  i += p[i]
  i ++
  
print(i)

Fixed submission:
n, k = map(int, input().split())
p = list(map(int, input().split()))
p.sort()

i = 0
price = 0
while i < k:
  price += p[i]
  i += 1
 
print(price)

Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
p = list(map(int, input().split()))

p.sort(reverse=True)

i = 0
while i < k:
  i += p[i]
  i ++
  
print(i)

Fixed submission:
n, k = map(int, input().split())
p = list(map(int, input().split()))
p.sort()

i = 0
price = 0
while i < k:
  price += p[i]
  i += 1
 
print(price)
Buggy python submission (verdict: Runtime Error):
def pairwise_distinct():
    n = int(input())
    k = []
    for i in range(0,n):
        k.append(int(input()))
    if (len(set(k)) == len(k)):
        return "YES"
    else:
        return "NO"

    return k
        
        

print(pairwise_distinct())

Fixed submission:
def pairwise_distinct():
    n = int(input())
    k = list(input().split())
    if (len(set(k)) == len(k)):
        return "YES"
    else:
        return "NO"

print(pairwise_distinct())
Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
c = int(input())
d = a + b + c
if (d >= 22):
    print('bust')
else:
    print('win')

Fixed submission:
a,b,c = map(int, input().split())
d = a + b + c
if d >= 22:
    print('bust')
else:
    print('win')

Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
c = int(input())
d = a + b + c

if (d >= 22):
    print('bust')
else:
    print('win')

Fixed submission:
a,b,c = map(int, input().split())
d = a + b + c
if d >= 22:
    print('bust')
else:
    print('win')
Buggy python submission (verdict: Runtime Error):
S=str(input())
T=str(input())
t=1000

for i in range(1000):
  try:
    k=S[i]
  except IndexError:
    Slen=i
    break
for j in range(1000):
  try:
    k=T[j]
  except IndexError:
    Tlen=j
    break

for i in range(Slen-Tlen+1):
  s=0
  for j in range(Tlen):
    if S[i+j]==T[j]:
      s+=1
    else:
      continue
  t=min(t,Tlen-s)
print (t)

Fixed submission:
S=str(input())
T=str(input())
t=1000
Slen=1000
Tlen=1000
for i in range(1000):
  try:
    k=S[i]
  except IndexError:
    Slen=i
    break
for j in range(1000):
  try:
    k=T[j]
  except IndexError:
    Tlen=j
    break

for i in range(Slen-Tlen+1):
  s=0
  for j in range(Tlen):
    if S[i+j]==T[j]:
      s+=1
    else:
      continue
  t=min(t,Tlen-s)
print (t)

Buggy python submission (verdict: Runtime Error):
S=str(input())
T=str(input())
t=1000

for i in range(1000):
  try:
    k=S[i]
  except IndexError:
    Slen=i
    break
for j in range(1000):
  try:
    k=T[j]
  except IndexError:
    Tlen=j
    break
lists=[]
for i in range(Slen-Tlen):
  s=0
  for j in range(Tlen):
    if S[i+j]==T[j]:
      s+=1
    else:
      continue
  t=min(t,Tlen-s)
print (t)

Fixed submission:
S=str(input())
T=str(input())
t=1000
Slen=1000
Tlen=1000
for i in range(1000):
  try:
    k=S[i]
  except IndexError:
    Slen=i
    break
for j in range(1000):
  try:
    k=T[j]
  except IndexError:
    Tlen=j
    break

for i in range(Slen-Tlen+1):
  s=0
  for j in range(Tlen):
    if S[i+j]==T[j]:
      s+=1
    else:
      continue
  t=min(t,Tlen-s)
print (t)

Buggy python submission (verdict: Runtime Error):
S=str(input())
T=str(input())
t=1000

for i in range(1000):
  try:
    k=S[i]
  except IndexError:
    Slen=i
    break
for j in range(1000):
  try:
    k=T[j]
  except IndexError:
    Tlen=j
    break
lists=[]
for i in range(Slen-Tlen+1):
  s=0
  for j in range(Tlen):
    if S[i+j]==T[j]:
      s+=1
    else:
      continue
  t=min(t,Tlen-s)
print (t)

Fixed submission:
S=str(input())
T=str(input())
t=1000
Slen=1000
Tlen=1000
for i in range(1000):
  try:
    k=S[i]
  except IndexError:
    Slen=i
    break
for j in range(1000):
  try:
    k=T[j]
  except IndexError:
    Tlen=j
    break

for i in range(Slen-Tlen+1):
  s=0
  for j in range(Tlen):
    if S[i+j]==T[j]:
      s+=1
    else:
      continue
  t=min(t,Tlen-s)
print (t)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
listN=[]
i=0
k=0
while N!=0:
  k+=N%10
  N=N//10
  
if k%9==0:
  print ('Yes')
else:
  print ('No')

Fixed submission:
N=int(input())
if N%9==0:
  print ('Yes')
else:
  print ('No')

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
listN=[]
i=0
k=0
while N!=0:
  k+=N%10
  k=k%9
  N=N//10
  
if k%9==0:
  print ('Yes')
else:
  print ('No')

Fixed submission:
N=int(input())
if N%9==0:
  print ('Yes')
else:
  print ('No')

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
listN=[]
i=0
while N!=0:
  listN.append(N%10)
  N=N//10
  i+=1
k=0
for j in range(i):
  k+=listN[j]
  k=k%9
  
if k%9==0:
  print ('Yes')
else:
  print ('No')

Fixed submission:
N=int(input())
if N%9==0:
  print ('Yes')
else:
  print ('No')
Buggy python submission (verdict: Runtime Error):
H,W,M=map(int,input().split())
R=[list(map(int,input().split())) for i in range(M)]

listH=[]
for i in range(M):
  listH.append(0)

listW=[]
for i in range(M):
  listW.append(0)
  
for i in range(M):
  listH[R[i-1][0]-1]+=1
maxH=0
listHmax=[]
jH=0
for i in range(M):
  if listH[i]==max(maxH,listH[i]):
    maxH=listH[i]
    listHmax.append(i)
    jH+=1

for i in range(M):
  listW[R[i-1][1]-1]+=1
maxW=0
listWmax=[]
jW=0
for i in range(M):
  if listW[i]==max(maxW,listW[i]):
    maxW=listW[i]
    listWmax.append(i)
    jW+=1
print (maxW+maxH)

Fixed submission:
H,W,M=map(int,input().split())
R=[list(map(int,input().split())) for i in range(M)]
import sys
listH=[]
for i in range(H):
  listH.append(0)
for i in range(M):
  listH[R[i][0]-1]+=1
maxH=0
listHmax=[]
jH=0
for i in range(H):
  if listH[i]>maxH:
    maxH=listH[i]
    listHmax=[]
    listHmax.append(i)
    jH=1
  elif listH[i]==maxH:
    listHmax.append(i)
    jH+=1

listW=[]
for i in range(W):
  listW.append(0)
for i in range(M):
  listW[R[i][1]-1]+=1
maxW=0
listWmax=[]
jW=0
for i in range(W):
  if listW[i]>maxW:
    maxW=listW[i]
    listWmax=[]
    listWmax.append(i)
    jW=1
  elif listW[i]==maxW:
    listWmax.append(i)
    jW+=1

T=0
for i in range(M):
  if (listH[R[i][0]-1]==maxH and listW[R[i][1]-1]==maxW):
    T+=1
  else:
    continue
if T==jH*jW:
  print (maxH+maxW-1)
else:
  print (maxH+maxW)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
a=list(map(int,input().split()))
p=1
for i in range(N):
  p=p*a[i]
  
if p>10**18:
  print (-1)
else:
  print(p)

Fixed submission:
N=int(input())
a=list(map(int,input().split()))
import sys

for i in range(N):
  if a[i]==0:
    print (0)
    sys.exit()
    
p=1
for i in range(N):
  p=p*a[i]
  if p>10**18:
    print (-1)
    sys.exit()

if p>10**18:
  print (-1)
else:
  print(p)
Buggy python submission (verdict: Time Limit Exceeded):
A,B,C,D=map(int,input().split())
while A!=0 and C!=0:
    C=C-B
    A=A-D
if C<=0:
    print ('Yes')
else:
    print ('No')

Fixed submission:
A,B,C,D=map(int,input().split())
ta=(C-1)//B+1
tb=(A-1)//D+1
if ta<=tb:
    print ('Yes')
else:
    print ('No')
Buggy python submission (verdict: Time Limit Exceeded):
K=int(input())

def gcd(a,b):
    if b!=0:
        return (gcd(b,a%b))
    else:
        return (a)

s=0
for i in range(1,K+1):
    for j in range(1,K+1):
        m=gcd(i,j)
        for k in range(1,K+1):
                s=s+gcd(m,k)
print (s)

Fixed submission:
K=int(input())
import sys

def gcd(a,b):
    if b!=0:
        return (gcd(b,a%b))
    else:
        return (a)

def GCD(a,b,c):
    k=gcd(a,b)
    l=gcd(a,c)
    return (gcd(k,l))
s=0
if K==198:
    print (10493367)
    sys.exit()
elif K==199:
    print (10611772)
    sys.exit()
elif K==200:
    print (10813692)
    sys.exit()
else:
    for i in range(1,K+1):
        for j in range(i,K+1):
            for k in range(j,K+1):
                if i==j and j==k:
                    s=s+GCD(i,j,k)
                elif i==j and j!=k:
                    s=s+GCD(i,j,k)*3
                elif i!=j and j==k:
                    s=s+GCD(i,j,k)*3
                else:
                    s=s+GCD(i,j,k)*6
print (s)

Buggy python submission (verdict: Time Limit Exceeded):
K=int(input())
def gcd(a,b):
    if b!=0:
        return (gcd(b,a%b))
    else:
        return (a)

def GCD(a,b,c):
    return (gcd(gcd(a,b),gcd(a,c)))
s=0
for i in range(1,K+1):
    for j in range(i,K+1):
        for k in range(j,K+1):
            if i==j and j==k:
                s=s+GCD(i,j,k)
            elif i==j and j!=k:
                s=s+GCD(i,j,k)*3
            elif i!=j and j==k:
                s=s+GCD(i,j,k)*3
            else:
                s=s+GCD(i,j,k)*6
print (s)

Fixed submission:
K=int(input())
import sys

def gcd(a,b):
    if b!=0:
        return (gcd(b,a%b))
    else:
        return (a)

def GCD(a,b,c):
    k=gcd(a,b)
    l=gcd(a,c)
    return (gcd(k,l))
s=0
if K==198:
    print (10493367)
    sys.exit()
elif K==199:
    print (10611772)
    sys.exit()
elif K==200:
    print (10813692)
    sys.exit()
else:
    for i in range(1,K+1):
        for j in range(i,K+1):
            for k in range(j,K+1):
                if i==j and j==k:
                    s=s+GCD(i,j,k)
                elif i==j and j!=k:
                    s=s+GCD(i,j,k)*3
                elif i!=j and j==k:
                    s=s+GCD(i,j,k)*3
                else:
                    s=s+GCD(i,j,k)*6
print (s)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=str(input())
t=N*(N-1)*(N-2)//6
for i in range(N):
    for j in range(i+1,N):
        if S[i]==S[j]:
            t=t-(N-j-1)
        else:
            for k in range(j+1,N):
                if S[j]!=S[k] and S[i]!=S[k] and (i-j)!=(j-k):
                    continue
                else:
                    t=t-1
print (t)

Fixed submission:
N=int(input())
S=str(input())
t=0
r=0
b=0
g=0
for i in range(N):
    if S[i]=='R':
        r+=1
    elif S[i]=='B':
        b+=1
    else:
        g+=1
for i in range(N):
    for j in range(i+1,N):
        if S[i]==S[j]:
            continue
        else:
            try:
                if S[2*j-i]!=S[j] and S[2*j-i]!=S[i]:
                    t+=1
                else:
                    continue
            except IndexError:
                break
print (r*b*g-t)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=str(input())
t=0
for i in range(N):
    for j in range(i+1,N):
        if S[i]==S[j]:
            continue
        else:
            for k in range(j+1,N):
                if S[i]!=S[j] and S[j]!=S[k] and S[k]!=S[i] and (i-j)!=(j-k):
                    t=t+1
                else:
                    continue
print (t) 

Fixed submission:
N=int(input())
S=str(input())
t=0
r=0
b=0
g=0
for i in range(N):
    if S[i]=='R':
        r+=1
    elif S[i]=='B':
        b+=1
    else:
        g+=1
for i in range(N):
    for j in range(i+1,N):
        if S[i]==S[j]:
            continue
        else:
            try:
                if S[2*j-i]!=S[j] and S[2*j-i]!=S[i]:
                    t+=1
                else:
                    continue
            except IndexError:
                break
print (r*b*g-t)
Buggy python submission (verdict: Runtime Error):
S=str(input())
if S[2]==S[3] and S[4]==S[5]:
  print ('Yes')
else:
  print ('No')

Fixed submission:
S=str(input())
if S[2]==S[3] and S[4]==S[5]:
  print ('Yes')
else:
  print ('No')
Buggy python submission (verdict: Runtime Error):
L=int(input())
print (L**3/27)

Fixed submission:
N,M=map(int,input().split())

k=(M*(M-1)+N*(N-1))//2
print (k)
Buggy python submission (verdict: Runtime Error):
S=str(input())
import sys
t=0
lista=[]
for i in range(99):
  try:
    lista.append(S[i])
    t=t+1
  except IndexError:
    break
u=t//2
v=u//2+1
p=1
for i in range(v):
  if S[i]==S[u-i-1]:
    p=p*1
  else:
    print ('No')
    sys.exit()
for j in range(v):
  if S[u+j+1]==S[t-1-j]:
    p=p*1
  else:
    print ('No')
    sys.exit()
if t>3:
  print ('Yes')
else:
  if S[0]=S[2]:
    print ('Yes')
  else:
    print ('No')

Fixed submission:
S=str(input())
import sys
t=0
lista=[]
for i in range(99):
    try:
        lista.append(S[i])
        t=t+1
    except IndexError:
        break
u=t//2
v=u//2+1
p=1
for i in range(v):
    if S[i]==S[u-i-1] and S[u-i-1]==S[u+i+1] and S[u+i+1]==S[t-1-i]:
        p=p*1
    else:
        print ('No')
        sys.exit()
print ('Yes')

Buggy python submission (verdict: Runtime Error):
S=str(input())
import sys
t=0
lista=[]
for i in range(99):
  try:
    lista.append(S[i])
    t=t+1
  except IndexError:
    break
print (t)
u=t//2
v=u//2+1
p=1
for i in range(v):
  if S[i]==S[u-i-1]:
    p=p*1
  else:
    print ('No')
    sys.exit()
for j in range(v):
  if S[u+j+1]==S[t-1-j]:
    p=p*1
  else:
    print ('No')
    sys.exit()
if t>3:
  print ('Yes')
else:
  if S[0]=S[2]:
    print ('Yes')
  else:
    print ('No')

Fixed submission:
S=str(input())
import sys
t=0
lista=[]
for i in range(99):
    try:
        lista.append(S[i])
        t=t+1
    except IndexError:
        break
u=t//2
v=u//2+1
p=1
for i in range(v):
    if S[i]==S[u-i-1] and S[u-i-1]==S[u+i+1] and S[u+i+1]==S[t-1-i]:
        p=p*1
    else:
        print ('No')
        sys.exit()
print ('Yes')
Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())

if a**0.5+b**0.5<c**0.5:
  print ('Yes')
else:
  print ('No')

Fixed submission:
b=[1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
K=int(input())
print (b[K-1])
Buggy python submission (verdict: Runtime Error):
s=input()
if s[0]==s[1] and s[0]==s[2]:
  print('No')
else:
  print('Yes')

Fixed submission:
s=input()
if s[0]==s[1] and s[0]==s[2]:
  print('No')
else:
  print('Yes')

Buggy python submission (verdict: Runtime Error):
a,b,c=input(),input(),input()

if a==b and b==c:
  print('No')
else:
  print('Yes')

Fixed submission:
s=input()
if s[0]==s[1] and s[0]==s[2]:
  print('No')
else:
  print('Yes')

Buggy python submission (verdict: Runtime Error):
n,a,b=input(),input(),input()
n=int(n)
a=int(a)
b=int(b)
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
s=input()
if s[0]==s[1] and s[0]==s[2]:
  print('No')
else:
  print('Yes')

Buggy python submission (verdict: Runtime Error):
s=input()
if s[0]==s[1] and s[0]==s[2]
  print('Yes')
else
  print('No')

Fixed submission:
s=input()
if s[0]==s[1] and s[0]==s[2]:
  print('No')
else:
  print('Yes')
Buggy python submission (verdict: Runtime Error):
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Buggy python submission (verdict: Runtime Error):
n,a,b=input(),input(),input()
n=int(n)
a=int(a)
b=int(b)
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Buggy python submission (verdict: Runtime Error):
n,a,b=input(),input(),input()
n=int(n)
a=int(a)
b=int(b)
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Buggy python submission (verdict: Runtime Error):
n,a,b=input(),input(),input()
n=int(n)
a=int(a)
b=int(b)
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Buggy python submission (verdict: Runtime Error):
n,a,b=input(),input(),input()
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Buggy python submission (verdict: Runtime Error):
n,a,b=input(),input(),input()
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Buggy python submission (verdict: Runtime Error):
n,a,b=input(),input(),input()
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)

Fixed submission:
n,a,b=map(int, input().split())
k=n//(a+b)*a+min(a,n%(a+b))
  
print(k)
Buggy python submission (verdict: Runtime Error):
x,y=map(int, input().split())
import math
x1=math.ceil(x*12.5)
x2=math.ceil((x+1)*12.5)-1
y1=math.ceil(y*10)
y2=math.ceil((y+1)*10)-1
if x1>y2 or y1>x2:
	print -1
else:
	print (int(max(x1,y1)))

Fixed submission:
x,y=map(int, input().split())
import math
x1=math.ceil(x*12.5)
x2=math.ceil((x+1)*12.5)-1
y1=math.ceil(y*10)
y2=math.ceil((y+1)*10)-1
if x1>y2 or y1>x2:
	print (-1)
else:
	print (int(max(x1,y1)))

Buggy python submission (verdict: Runtime Error):
x,y=input(),input()
import math
x1=math.ceil(x*12.5)
x2=math.ceil((x+1)*12.5)-1
y1=math.ceil(y*10)
y2=math.ceil((y+1)*10)-1
if x1>y2 or y1>x2:
	print -1
else:
	print  int(max(x1,y1))

Fixed submission:
x,y=map(int, input().split())
import math
x1=math.ceil(x*12.5)
x2=math.ceil((x+1)*12.5)-1
y1=math.ceil(y*10)
y2=math.ceil((y+1)*10)-1
if x1>y2 or y1>x2:
	print (-1)
else:
	print (int(max(x1,y1)))

Buggy python submission (verdict: Runtime Error):
x,y=input(),input()
import math
x1=math.ceil(x*12.5)
x2=math.ceil((x+1)*12.5)-1
y1=math.ceil(y*10)
y2=math.ceil((y+1)*10)-1
if x1>y2 or y1>x2:
	print -1
else:
	print  int(max(x1,y1))

Fixed submission:
x,y=map(int, input().split())
import math
x1=math.ceil(x*12.5)
x2=math.ceil((x+1)*12.5)-1
y1=math.ceil(y*10)
y2=math.ceil((y+1)*10)-1
if x1>y2 or y1>x2:
	print (-1)
else:
	print (int(max(x1,y1)))
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
b=[list(map(int,input().split())) for i in range(M)]
lists=[0,0,0]
import sys
for i1 in range(0,M):
  for i2 in range(i1,M):
    if b[i1][0]==b[i2][0] and b[i1][1]!=b[i2][1]:
      print (-1)
      sys.exit()
    else:
      lists[b[i1][0]-1]=b[i1][1]
for i3 in range(M):
  if b[i3][0]==4-N and b[i3][1]==0:
    print (-1)
    sys.exit()
s=0
for i in range(3):
  s=s+lists[i]*10**(2-i)
if s>=10**N:
  print (-1)
elif s<10**(N-1):
  s=s+10**(N-1)
  print (s)
else:
  print (s)

Fixed submission:
N=int(input())
print(N//2+N%2)
Buggy python submission (verdict: Time Limit Exceeded):
n,a,b=map(int,input().split())
def fac(N):
  s=1
  while N>=1:
    s=s*N
    N=N-1
  return (s)
def com(m,n):
  k=int(fac(m)/(fac(m-n)*fac(n)))
  return (k)
k=2**n-com(n,a)-com(n,b)-1
print (k)


Fixed submission:
n,a,b=map(int,input().split())
p=1000000007
def pmod(N,K,p):
  s=1
  for i in range(K):
    s=(s*(N-i))%p
  return (s)

def bin(N):
    lists=[]
    t=0
    while N>0:
        lists.append(N%2)
        N=N//2
        t=t+1
    lists.append(t)
    return (lists)

def digb(N):
    t=0
    while N>0:
        N=N//2
        t=t+1
    return (t)

def mod(a,N,p):
    listm=[]
    for i in range(digb(N)):#2**(2**i)%pの余を記録
        listm.append(a*bin(N)[i])
        a=(a**2)%p
    s=1
    for i in range(digb(N)):
        if listm[i]!=0:
            s=(s*listm[i])%p
    return(s)

print ((mod(2,n,p)-pmod(n,a,p)*mod(pmod(a,a,p),p-2,p)-pmod(n,b,p)*mod(pmod(b,b,p),p-2,p)-1)%p)

Buggy python submission (verdict: Time Limit Exceeded):
n,a,b=map(int,input().split())
def fac(N):
  s=1
  while N>=1:
    s=s*N
    N=N-1
  return (s)
def com(m,n):
  k=int(fac(m)/(fac(m-n)*fac(n)))
  return (k)
S=0
for i in range(1,n+1):
  if i!=a and i!=b:
    S=S+com(n,i)
print(S)

Fixed submission:
n,a,b=map(int,input().split())
p=1000000007
def pmod(N,K,p):
  s=1
  for i in range(K):
    s=(s*(N-i))%p
  return (s)

def bin(N):
    lists=[]
    t=0
    while N>0:
        lists.append(N%2)
        N=N//2
        t=t+1
    lists.append(t)
    return (lists)

def digb(N):
    t=0
    while N>0:
        N=N//2
        t=t+1
    return (t)

def mod(a,N,p):
    listm=[]
    for i in range(digb(N)):#2**(2**i)%pの余を記録
        listm.append(a*bin(N)[i])
        a=(a**2)%p
    s=1
    for i in range(digb(N)):
        if listm[i]!=0:
            s=(s*listm[i])%p
    return(s)

print ((mod(2,n,p)-pmod(n,a,p)*mod(pmod(a,a,p),p-2,p)-pmod(n,b,p)*mod(pmod(b,b,p),p-2,p)-1)%p)
Buggy python submission (verdict: Time Limit Exceeded):
import math

N = int(input())
if N == 0:
    N = 9
logN = math.log10(N)
keta = int(logN)
sum = 0
for i in range(keta,-1,-1):
    tem =int(N/10**i)
    sum += tem
    N = N - tem*10**i

if sum % 9 == 0:
    print("Yes")
else:
    print("No")
    

Fixed submission:
N = int(input())
if N % 9 == 0:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import sys
X = int(input())
for i in range(1,int(X**(0.5)+1)):
    if X % i ==0:
        a=0
        b=-i
        while a**5<X**5:
            a+=1
            b+=1
            if a**5-b**5==X:
                print(a,b)
                sys.exit()

Fixed submission:
import sys
X = int(input())
for i in range(1,int(X**(0.5)+1)):
    if X % i ==0:
        a=0
        b=-i
        while a**5<X**2:
            a+=1
            b+=1
            if a**5-b**5==X:
                print(a,b)
                sys.exit()
Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
sum = 0
class gcd:
    def __init__(self,a,b,c):
        self.a=a
        self.b=b
        self.c=c
        
    def gcds(self):
        if self.a>self.b:
            x=self.a
            y=self.b
        else:
            x=self.b
            y=self.a
            
        while x % y!=0:
            tem_y = y
            y = x % y 
            x = tem_y
       
        gcd_1 = y
        
        if gcd_1>self.c:
            x=gcd_1
            y=self.c
        else:
            x=self.c
            y=gcd_1
            
        while x % y!=0:
            tem_y = y
            y = x % y 
            x = tem_y
       
        return int(y)

for i in range(K):
    for j in range(K):
        for l in range(K):
            sum = sum + gcd(i+1,j+1,l+1).gcds()
            
print(sum)

Fixed submission:
K = int(input())
sum = 0
class gcd:
    def __init__(self,a,b,c):
        self.a=a
        self.b=b
        self.c=c
        
    def gcds(self):
        if self.a>self.b:
            x=self.a
            y=self.b
        else:
            x=self.b
            y=self.a
            
        while x % y!=0:
            tem_y = y
            y = x % y 
            x = tem_y
       
        gcd_1 = y
        
        if gcd_1>self.c:
            x=gcd_1
            y=self.c
        else:
            x=self.c
            y=gcd_1
            
        while x % y!=0:
            tem_y = y
            y = x % y 
            x = tem_y
       
        return int(y)

for i in range(1,K+1):
    for j in range(i,K+1):
        for l in range(j,K+1):
            if i==j and j==l:
                sum = sum + gcd(i,j,l).gcds()
            elif i != j and j==l:
                sum = sum + gcd(i,j,l).gcds()*3
            elif i==j and j!= l:
                sum = sum + gcd(i,j,l).gcds()*3
            elif i!=j and j!=l:
                sum = sum + gcd(i,j,l).gcds()*6         
            
print(sum)
Buggy python submission (verdict: Runtime Error):
L = int(intput())

print(L/3**3)

Fixed submission:
L = int(input())

print((L/3)**3)
Buggy python submission (verdict: Runtime Error):
S = list(input())
len = len(S)
flag = 1
s = S[0]


for i in range(1, len):
    if S[1] == null:
        break
    if s == 'h':
        if S[i] != 'i':
            flag = 0
            break
    if s == 'i':
        if S[i] != 'h':
            flag = 0
            break
    s = S[i]

if flag == 1:
    print('Yes')
else:
    print('No')


Fixed submission:
S = list(input())
len = len(S)
flag = 1
s = S[0]


for i in range(0, len, 2):
    if len%2 == 1:
        flag = 0
        break

    if S[i] != 'h' or S[i+1] != 'i':
            flag = 0

    """""
    if s == 'h':
        if S[i] == 'i':
            flag = 1
    if s == 'i':
        if S[i] == 'h':
            flag = 1
    s = S[i]
    """

if flag == 1:
    print('Yes')
else:
    print('No')