Harryxun/GPT-100-sft-dataset huggingface dataset:
Problem p03416 (python)

Fixed submission:
a,b=map(int,input().split())
c=0
for i in range(a,b+1):
  o=str(i)
  if o==o[::-1]:
    c+=1
print(c)

Buggy submission (verdict: Runtime Error):
a,b=map(int,input().split())
c=0
for i in range(a,b+1):
	o=str(i)
  	if o==o[::-1]:c+=1
print(c)

Buggy submission (verdict: Runtime Error):
a,b=map(int,input().split())
c=0
for i in range(a,b+1)
	o=str(i)
  	if o==o[::-1]:c+=1
print(c)
Problem p03417 (python)

Fixed submission:
l=list(map(int,input().split()))
N=min(l)
M=max(l)
if N==1 and M==1:
  print(1)
elif N==1:
  print(M-2)
else:
  print((M-2)*(N-2))

Buggy submission (verdict: Runtime Error):
l=map(int,input().split())
N=min(l)
M=max(l)
if N==1 and M==1:
  print(1)
elif N==1:
  print(M-2)
else:
  print((M-2)*(N-2))
Problem p03421 (python)

Fixed submission:
N, A, B = map(int, input().split())
ans = []
 
if A+B-1<=N<=A*B:
    S = N-A
    cur = N
    ans = []
    for i in range(A+1):
        num = min(B-1, S)+1
        S -= num-1
        for j in range(num):
            ans.append(cur-num+1+j)
        cur -= num
    ans = ans[::-1][1:]
    print(*ans)
else:
    print(-1)

from bisect import bisect


def LIS(L):
    INF, N = 10**12, len(L)
    seq = [INF] * N
    for i in L:
        seq[bisect(seq, i)] = i
    return N - seq.count(INF)

Buggy submission (verdict: Runtime Error):
def solve():
    N, A, B = map(int, input().split())
    ans = []

    if A+B-1<=N<=A*B:
        for i in range(1, B+1)[::-1]:
            ans.append(i)
        for i in range(B+1, B+A):
            ans.append(i)
        s = A+B-1
        while 1:
            for i in range(s+1, s+B+1)[::-1]:
                ans.append(i)
                if i==N:
                    return ans
            s += B
            if s + B > N:
                s = N - B
    else:
        print(-1)

print(*solve())
Problem p03436 (python)

Fixed submission:
from collections import deque
h,w=map(int,input().split())
l=[]
v=0

for _ in range(h):
  b=[0 if i=="." else 1 for i in input()]
  v+=b.count(1)
  l.extend([b])

dq=deque([])
dq.append((0,0,1))

while dq:
  x,y,d=dq.popleft()
  if x==w-1 and y==h-1:break
  for (dx,dy) in zip([-1,1,0,0],[0,0,-1,1]):
    nx=x+dx
    ny=y+dy
    if 0<=nx<w and 0<=ny<h and not l[ny][nx]:
      l[ny][nx]=2
      dq.append((nx,ny,d+1))

if x==w-1 and y==h-1:
  print(h*w-v-d)
else:
  print(-1)

Buggy submission (verdict: Runtime Error):
from heapq import heappush, heappop
h,w=map(int,input().split())
l=[]
v=0

for _ in range(h):
  b=[0 if i=="." else 1 for i in input()]
  v+=b.count(1)
  l.extend([b])

heap=[]
heappush(heap,(1,0,0))
while h:
  d,x,y=heappop(heap)
  if x==w-1 and y==h-1:break
  for (dx,dy) in zip([1,0],[0,1]):
    ax=x+dx
    ay=y+dy
    if 0<=ax<w and 0<=ay<h and not l[ay][ax]:
      heappush(heap,(d+1,ax,ay))

if x==w-1 and y==h-1:
  print(h*w-v-d)
else:
  print(-1)

Buggy submission (verdict: Runtime Error):
from heapq import heappush, heappop
h,w=map(int,input().split())
l=[]
v=0

for _ in range(h):
  b=[0 if i=="." else 1 for i in input()]
  v+=b.count(1)
  l.extend([b])

heap=[]
heappush(heap,(1,0,0))
while h:
  d,x,y=heappop(heap)
  if x==w-1 and y==h-1:break
  for (dx,dy) in zip([1,0],[0,1]):
    ax=x+dx
    ay=y+dy
    if 0<=ax<w and 0<=ay<h and not l[ay][ax]:
      heappush(heap,(d+1,ax,ay))

print(h*w-v-d)
Problem p03477 (python)

Fixed submission:
a,b,c,d=map(int,input().split())
if a+b>c+d:print("Left")
elif a+b==c+d:print("Balanced")
else:print("Right")

Buggy submission (verdict: Runtime Error):
a,b,c,d=map(int,input().split())
if a+b>c+d:print("Left")
elif a+b==c+d:print("Balanced")
else print("Right")
Problem p03478 (python)

Fixed submission:
N,A,B=map(int,input().split())
print(sum([i for i in range(1,N+1) if A<=sum(map(int,str(i)))<=B]))

Buggy submission (verdict: Runtime Error):
N,A,B=map(int,raw_input().split())
print(sum([i for i in range(1,N+1) if A<=sum(map(int,str(i)))<=B]))
Problem p03486 (python)

Fixed submission:
a="".join(list(sorted(input())))
b="".join(list(sorted(input()))[::-1])
u=list(sorted([a,b]))
if u[0]==u[1]:
  print("No")
elif u[0]==a:
  print("Yes")
else:
  print("No")

Buggy submission (verdict: Runtime Error):
a="".join(list(sorted(input())))
b="".join(list(sorted(input()))[::-1])
u=list(sorted(a,b))
if u[0]==a:
  print("Yes")
else:
  print("No")

Buggy submission (verdict: Runtime Error):
a="".join(sorted(input()))
b="".join(sorted(input())[::-1])
u=sorted(a,b)
if u[0]==a:
  print("Yes")
else:
  print("No")
Problem p03488 (python)

Fixed submission:
s=input()
x,y=map(int,input().split())
*l,=map(len,s.split("T"))
n=len(l)

def f(pos,start):
  dp={0}
  for i in range(start,n,2):
    tmp=set()
    for j in dp:
      if i==0:
        tmp.add(j+l[i])
      else:
        tmp.add(j+l[i])
        tmp.add(j-l[i])
    dp=tmp
  return pos in dp

if f(x,0) and f(y,1):
  print("Yes")
else:
  print("No")

Buggy submission (verdict: Runtime Error):
*s,=map(len,input().split("T"))
n=len(s)
ix,iy=map(int,input().split())
state=[(0,1),(1,0),(-1,0),(0,-1)]

def chk(x,y,turn,pos):
    if pos<n:
        tx,ty=turn
        nx,ny=x+tx*s[pos],y+ty*s[pos]
        if turn==(1,0) or turn==(-1,0):
            a=chk(nx,ny,(0,1),pos+1)
            b=chk(nx,ny,(0,-1),pos+1)
        elif turn==(0,1) or turn==(0,-1):
            a=chk(nx,ny,(1,0),pos+1)
            b=chk(nx,ny,(-1,0),pos+1)
        if a or b:
            return True
        else:
            return False         
    else:
        if x==ix and y==iy:
            return True
        else:
            return False

if chk(0,0,(1,0),0):
    print("Yes")
else:
    print("No")
Problem p03495 (python)

Fixed submission:
N,K=map(int,raw_input().split())
d={}
l=map(int,raw_input().split())
for i in l:
  if not i in d:
    d[i]=1
  else:
    d[i]+=1
c=0
e=sorted(d.items(),key=lambda x:x[1])[:len(d.items())-K]
for i in e:
  c+=i[1]
print(c)

Buggy submission (verdict: Runtime Error):
N,K=map(int,raw_input().split())
d={}
l=map(int,raw_input().split())
for i in l:
  if not i in d:
    d[i]=1
  else:
    d[i]+=1
c=0
e=list(sorted(d.items(),key=lambda x:x[1]))[:len(d.items())-K]
for i in e:
  c+=i[1]
print(c)

Buggy submission (verdict: Runtime Error):
N,K=map(int,raw_input().split())
d={}
l=map(int,raw_input().split())
for i in l:
  if not i in d:
    d[i]=1
  else:
    d[i]+=1
c=0
e=list(sorted(d.items(),key=lambda x:x[1]))[len(d.items())-K:]
for i in e:
  c+=i[1]
print(c)

Buggy submission (verdict: Runtime Error):
N,K=map(int,raw_input().split())
d={}
l=map(int,raw_input().split())
for i in l:
  if not i in d:
    d[i]=1
  else:
    d[i]+=1
c=0
e=sorted(d.items(),key=lambda x:x[1])[len(d.items())-K:]
for i in e:
  c+=i[1]
print(c)

Buggy submission (verdict: Runtime Error):
N,K=map(int,input().split())
d={}
l=map(int,input().split())
for i in l:
  if not i in d:
    d[i]=1
  else:
    d[i]+=1
c=0
e=list(sorted(d.items(),key=lambda x:x[1]))[len(d)-K:]
for i in e:
  c+=e[1]
Problem p03501 (python)

Fixed submission:
N,A,B=map(int,input().split())
print(min(N*A,B))

Buggy submission (verdict: Runtime Error):
N,A,B=map(int,input().split())
print(min(N*a,B))
Problem p03566 (python)

Fixed submission:
from itertools import accumulate as ac
o=[]
f=lambda l,r,v:lambda x:v if l<=x<=r else v+(l-x) if 0<=x<=l else v+(x-r)

o.extend([f(0,0,0)])
n=int(input())
*a,=map(int,input().split())
*b,=map(int,input().split())
*c,=ac([0]+a)

for (i,(t,v)) in enumerate(zip(a,b)):
  o.extend([f(c[i],c[i+1],v)])
o.extend([f(c[-1],c[-1],0)])
v=lambda s:min(map(lambda x:x(0.5*s),o))

S=0
for i in range(2*c[-1]):
  S+=0.25*(v(i)+v(i+1))
print(S)

Buggy submission (verdict: Runtime Error):
from itertools import accumulate as ac
o=[]
f=lambda l,r,v:lambda x:v if l<=x<=r else v+(l-x) if 0<=x<=l else v+(x-r)
v=lambda s:min(map(lambda x:x(s),o))

o.extend([f(0,0,0)])
n=int(input())
*a,=map(int,input().split())
*b,=map(int,input().split())
*c,=ac([0]+a)

for (i,(t,v)) in enumerate(zip(a,b)):
  o.extend([f(c[i],c[i+1],v)])
o.extend([f(c[-1],c[-1],0)])

S=0
for i in range(2*c[-1]):
  S+=0.25*(v(0.5*i)+v(0.5*(i+1)))
print(S)
Problem p03614 (python)

Fixed submission:
n=int(input())
*l,=map(int,input().split())
v=0
for i in range(n-1):
  if l[i]==i+1:
    l[i],l[i+1]=l[i+1],l[i]
    v+=1
if l[n-1]==n:
  l[n-2],l[n-1]=l[n-1],l[n-2]
  v+=1
    
print(v)

Buggy submission (verdict: Runtime Error):
n=int(input())
*l,=map(int,input().split())
v=0
for i in range(n-1):
  if l[i]==i+1:
    l[i],l[i+1]=l[i+1],l[i]
    v+=1
if l[N-1]==N:
  l[N-2],l[N-1]=l[N-1],l[N-2]
  v+=1
    
print(v)
Problem p03633 (python)

Fixed submission:
from fractions import gcd
l = [int(raw_input()) for _ in range(int(raw_input()))]
o = reduce(lambda x, y: int(x * y / gcd(x, y)), l)
print o

Buggy submission (verdict: Runtime Error):
from fractions import gcd
from functools import reduce
l = [int(input()) for _ in range(int(input()))]
o = reduce(lambda x, y: int(x * y / gcd(x, y)), l)
print(o)

Buggy submission (verdict: Runtime Error):
from functools import reduce
from fraction import gcd
l=[int(input()) for _ in range(int(input()))]
o=reduce(lambda x,y:int(x*y/gcd(x,y)),l)
print(o)

Buggy submission (verdict: Runtime Error):
from functools import reduce
from math import gcd
l=[int(input()) for _ in range(int(input()))]
o=reduce(lambda x,y:int(x*y/gcd(x,y)),l)
print(o)
Problem p03646 (python)

Fixed submission:
k = int(input())

size = 50
l = [(k//size)+size-1]*size
if k%size:
    for i in range(k%size):
        l[i] += size-(k%size-1)
    for j in range(k%size, size):
        l[j] -= k%size

print(size)
print(*l)

Buggy submission (verdict: Runtime Error):
k = int(input())
n = k+1
x = k*(n+1)

print(n)
l = [x] + [0]*(n-1)
print(*l)
Problem p03674 (python)

Fixed submission:
N = int(input())
d = {i:-1 for i in range(1, N+1)}
*l, = map(int, input().split())

MOD = 10**9+7
n = N+1
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)
 
comb = lambda a,b:(fac[a]*rev[a-b]*rev[b])%MOD if a>=b else 0

for i, j in enumerate(l):
    if d[j] != -1:
        break
    d[j] = i

a = d[j]
b = N-i
for i in range(1, N+2):
    print((comb(N+1, i)-comb(a+b, i-1))%MOD)

Buggy submission (verdict: Runtime Error):
import sys
input=sys.stdin.readline


def solve():
    N = int(input())
    d = {i:-1 for i in range(1, N+1)}
    *l, = map(int, input().split())

    MOD = 10**9+7
    n = N+1
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    
    for i in range(1,n+1):
    fac[i] = i*fac[i-1]%MOD
    rev[i] = pow(fac[i], MOD-2, MOD)
    
    comb = lambda a,b:(fac[a]*rev[a-b]*rev[b])%MOD if a>=b else 0

    for i, j in enumerate(l):
        if d[j] != -1:
            break
        d[j] = i

    v = d[j]+N-i
    for i in range(1, N+2):
        print((comb(N+1, i)-comb(v, i-1))%MOD)


if __name__ == "__main__":
    solve()

Buggy submission (verdict: Runtime Error):
N = int(input())
d = {i:-1 for i in range(1, N+1)}
*l, = map(int, input().split())

MOD = 10**9+7
n = N+1
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)
 
comb = lambda a,b:(fac[a]*rev[a-b]*rev[b])%MOD if a>=b else 0

for i, j in enumerate(l):
    if d[j] != -1:
        break
    d[j] = i

for i in range(1, N+2):
    print((comb(N+1, i)-comb(d[j]+N-1, i-1))%MOD)

Buggy submission (verdict: Runtime Error):
N = int(input())
d = {i:-1 for i in range(1, N+1)}
*l, = map(int, input().split())

MOD = 10**9+7
n = N+1
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)
 
comb = lambda a,b:(fac[a]*rev[a-b]*rev[b])%MOD if a>=b else 0

for i, j in enumerate(l):
    if d[j] != -1:
        break
    d[j] = i

for i in range(1, N+2):
    print((comb(N+1, i)-comb(d[j]+N-1, i-1))%MOD)
Problem p03722 (python)

Fixed submission:
n,m=map(int,input().split())
inf=float("inf")
l=[tuple(map(int,input().split())) for i in range(m)]
 
d=[inf]*n
d[0]=0

for i in range(n):
  for a,b,c in l:
    a,b,c=a-1,b-1,-c
    if d[a]!=inf and d[b]>d[a]+c:
      d[b]=d[a]+c
      if i==n-1 and b==n-1:
        print("inf")
        exit()
print(-d[-1])

Buggy submission (verdict: Runtime Error):
n,m=map(int,input().split())
a,b,c=[None]*n,[None]*n,[None]*n
inf=float("inf")
d=[inf]*n
neg=[False]*n
d[0]=0

for i in range(m):
  a[i],b[i],c[i]=map(int,input().split())
  c[i]=-c[i]

for loop in range(n-1):
  for i in range(m):
    if d[a[i]-1]==inf:continue
    if d[b[i]-1]>d[a[i]-1]+c[i]:
      d[b[i]-1]=d[a[i]-1]+c[i]
ans=d[n-1]

for loop in range(n):
  for i in range(m):
    if d[a[i]-1]==inf:continue
    if d[b[i]-1]>d[a[i]-1]+c[i]:
      d[b[i]-1]=d[a[i]-1]+c[i]
      neg[b[i]-1]=True
    if neg[a[i]-1]:
      neg[b[i]-1]=True

if neg[n-1]:
  print("inf")
else:
  print(-ans)

Buggy submission (verdict: Runtime Error):
from heapq import heappush,heappop
n,m=map(int,input().split())
a,b,c=[None]*n,[None]*n,[None]*n
inf=float("inf")
d=[inf]*n

for i in range(m):
  a[i],b[i],c[i]=map(int,input().split())
  c[i]=-c[i]

d[0]=0
for loop in range(n-1):
  for i in range(m):
    if d[a[i]-1]==inf:continue
    if d[b[i]-1]>d[a[i]-1]+c[i]:
      d[b[i]-1]=d[a[i]-1]+c[i]
      
ans=-d[n-1]
neg=[False]*n
for loop in range(n):
  for i in range(m):
    if d[a[i]-1]==inf:continue
    if d[b[i]-1]>d[a[i]-1]+c[i]:
      d[b[i]-1]=d[a[i]-1]+c[i]
      neg[b[i]-1]=True
    if neg[a[i]-1]:
      neg[b[i]-1]=True

if neg[n-1]:
  print("inf")
else:
  print(ans)
Problem p03762 (python)

Fixed submission:
n,m=map(int,input().split())
*x,=map(int,input().split())
*y,=map(int,input().split())
mod=10**9+7
vx,vy=0,0
for i in range(n):
  vx+=(i*x[i]-(n-i-1)*x[i])
for j in range(m):
  vy+=(j*y[j]-(m-j-1)*y[j])
print(vx*vy%mod)

Buggy submission (verdict: Runtime Error):
n,m=map(int,input().split())
*x,=map(int,input().split())
*y,=map(int,input().split())
mod=10**9+7
vx,vy=0,0
for i in range(n):
  vx+=(i*x[i]-(n-i-1)*x[i])
for j in range(m):
  vy+=(j*x[j]-(m-j-1)*x[j])
print(vx*vy%mod)
Problem p03778 (python)

Fixed submission:
W,a,b=map(int,input().split())
s={i for i in range(a,a+W+1)}&{i for i in range(b,b+W+1)}
if s:
  print(0)
else:
  print(min(abs(b-a-W),abs(b+W-a)))

Buggy submission (verdict: Runtime Error):
W,a,b=map(int,input().split())
print(min(b-a,b-a+1-w))
Problem p03808 (python)

Fixed submission:
n=int(input())
*l,=map(int,input().split())
m=[0]*n
a=n*(n+1)//2
b=sum(l)

if b%a:
  print("NO")
else:
  k=b//a
  m=[l[(i+1)%n]-l[i]-k for i in range(n)]
  for i in range(n):
    if m[i]>0 or m[i]%n!=0:
      print("NO")
      break
  else:
    print("YES")

Buggy submission (verdict: Runtime Error):
n=int(input())
*l,=map(int,input().split())
m=[0]*n
a=n*(n+1)//2
b=sum(l)

if b%a:
  print("NO")
else:
  k=b//a
  for i in range(n):
    m[i]=(l[(i+1)%n]-l[i]-k)

*o,=filter(lambda x:x<0 and x%n==0,m)
if len(o)==k:
  print("YES")
else:
  print("NO")
Problem p03828 (python)

Fixed submission:
from collections import Counter
from functools import reduce
n=int(input())
l=[]

for j in range(2,n+1):
  b=j
  for i in range(2,j+1):
    while not b%i:
      l.extend([i])
      b//=i
o=Counter(l)
p=int(1e9+7)
if n!=1:
  v=reduce(lambda x,y:x*y,map(lambda x:x+1,o.values()))%p
else:
  v=1
print(v)

Buggy submission (verdict: Runtime Error):
from collections import Counter
from functools import reduce
n=int(input())
l=[]

for j in range(2,n+1):
  n=j
  for i in range(2,j+1):
    while not n%i:
      l.extend([i])
      n//=i
o=Counter(l)
p=int(1e9+7)
v=reduce(lambda x,y:x*y,map(lambda x:x+1,o.values()))%p
print(v)
Problem p03863 (python)

Fixed submission:
s=input()
if (len(s)%2==0)^(s[0]==s[-1]):
  print("Second")
else:
  print("First")

Buggy submission (verdict: Runtime Error):
s=input()
if len(s)%2==0^s[0]==s[-1]:
  print("Second")
else:
  print("First")
Problem p03911 (python)

Fixed submission:
import sys
sys.setrecursionlimit(100000)

n,m=map(int,input().split())
f=lambda x:int(x)-1

langs=[[] for _ in range(m)]
speakers=[[] for _ in range(n)]
used_langs=[False]*m
used_speakers=[False]*n

for i in range(n):
  *l,=map(f,input().split()[1:])
  speakers[i].extend(l)
  for j in l:
    langs[j].append(i)

def dfs(n):
  if used_speakers[n]:
    return
  used_speakers[n]=True
  for i in speakers[n]:
    if used_langs[i]:continue
    used_langs[i]=True
    for j in langs[i]:
      dfs(j)

dfs(0)
if not False in used_speakers:
  print("YES")
else:
  print("NO")

Buggy submission (verdict: Runtime Error):
n,m=map(int,input().split())
f=lambda x:int(x)-1

langs=[[] for _ in range(m)]
speakers=[[] for _ in range(n)]
used_langs=[False]*m
used_speakers=[False]*n

for i in range(n):
  *l,=map(f,input().split()[1:])
  speakers[i].extend(l)
  for j in l:
    langs[j].append(i)

def dfs(n):
  if used_speakers[n]:
    return
  used_speakers[n]=True
  for i in speakers[n]:
    if used_langs[i]:continue
    used_langs[i]=True
    for j in langs[i]:
      dfs(j)

dfs(0)
if not False in used_speakers:
  print("YES")
else:
  print("NO")
Problem p03938 (python)

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

*a,=range(1,30000*n+1,30000)
b=a[::-1]

for i,j in enumerate(l):
  b[j-1]+=i

print(*a)
print(*b)

Buggy submission (verdict: Runtime Error):
n=int(input())
*l,=map(int,input().split())

*a,=range(1,n+1)
b=a[::-1]

for i,j in enumerate(l):
  b[j-1]+=i
for i in range(1,n):
  if not b[i-1]>b[i]:
    df=b[i]-b[i-1]+1
    b[i]-=df
    a[i]+=df

if b[-1]<1:
  tg=abs(b[-1])+1
  *b=map(lambda x:x+tg,b)

print(*a)
print(*b)
Problem p03952 (python)

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

if n==2 and x==2:
  print("Yes",*[1,2,3],sep="\n")
elif x==1 or x>=2*n-1:
  print("No")
else:
  print("Yes")
  if x==2:
    t=[4,2,1,3]
  else:
    t=[x-1,x+1,x,x-2]
  p=[i for i in range(1,2*n) if i not in t]
  print(*p[:n-3]+t+p[n-3:],sep="\n")

Buggy submission (verdict: Runtime Error):
n,x=map(int,input().split())
if x==1 or x==2*n-1:
  print("No")
else:
  print("Yes")
  l=[0]*(2*n-1)

  l[n-2]=x-1
  l[n-1]=x
  l[n]=x+1
  l[n+1]=x-1
  print(*l,sep="\n")
Problem p03962 (python)

Fixed submission:
print(len({i for i in input().split()}))

Buggy submission (verdict: Runtime Error):
print(len({input().split()}))
Problem p03997 (python)

Fixed submission:
a=int(input())
b=int(input())
h=int(input())
print(int((a+b)*h/2))

Buggy submission (verdict: Runtime Error):
a,b,h=map(int,input().split())
print((a+b)*h//2)
Problem p04013 (python)

Fixed submission:
n,a=map(int,input().split())
l=list(map(int,input().split()))
x=max(l)
x=max(x,a)
dp=[[[0 for _ in range(n*x+1)] for _ in range(n+1)] for _ in range(n+1)]

for j in range(n+1):
  for k in range(n+1):
    for s in range(n*x+1):
      if j==0 and k==0 and s==0:
        dp[j][k][s]=1
      elif j>=1 and s<l[j-1]:
        dp[j][k][s]=dp[j-1][k][s]
      elif j>=1 and k>=1 and s>=l[j-1]:
        dp[j][k][s]=dp[j-1][k][s]+dp[j-1][k-1][s-l[j-1]]
      else:
        dp[j][k][s]=0

s=0
for k in range(1,n+1):
  s+=dp[n][k][k*a]

print(s)

Buggy submission (verdict: Runtime Error):
n,a=map(int,input().split())
*x,=map(int,input().split())
b=max(x)
dp=[[[0]*(n*b+1) for i in range(n+1)] for _ in range(n+1)]

for i in range(n+1):
    for j in range(n+1):
        for k in range(n*b+1):
            if i==0 and j==0 and k==0:
                dp[i][j][k]=1
            elif i and k<x[i-1]:
                dp[i][j][k]=dp[i-1][j][k]
            elif i and j and k>=x[i-1]:
                dp[i][j][k]=dp[i-1][j][k]+dp[i-1][j-1][k-x[i-1]]

v=0
for i in range(1,n+1):
    v+=dp[n][i][i*a]
print(v)

Buggy submission (verdict: Runtime Error):
n,a=map(int,input().split())
l=list(map(int,input().split()))
x=max(l)
dp=[[[0 for _ in range(n*x+1)] for _ in range(n+1)] for _ in range(n+1)]

for j in range(n+1):
  for k in range(n+1):
    for s in range(n*x+1):
      if j==0 and k==0 and s==0:
        dp[j][k][s]=1
      elif j>=1 and s<l[j-1]:
        dp[j][k][s]=dp[j-1][k][s]
      elif j>=1 and k>=1 and s>=l[j-1]:
        dp[j][k][s]=dp[j-1][k][s]+dp[j-1][k-1][s-l[j-1]]
      else:
        dp[j][k][s]=0

s=0
for k in range(1,n+1):
  s+=dp[n][k][k*a]

print(s)
Problem p04020 (python)

Fixed submission:
n=int(input())
l=[int(input()) for _ in range(n)]
v,s=0,0
for i in l:
  if i:
    s+=i
  else:
    v+=(s//2)
    s=0
if s:
  v+=(s//2)
print(v)

Buggy submission (verdict: Runtime Error):
n=int(input())
l=[]
for i in range(1,n+1):
  a=int(input())
  l.extend([i]*a)

c=0
s=0
while s<len(l)-1:
  if l[s+1]-l[s]<=1:
    c+=1
    s+=2
  else:
    s+=1

print(c)
Problem p04043 (python)

Fixed submission:
l=sorted(map(int,input().split()))
if l==[5,5,7]:
  print("YES")
else:
  print("NO")

Buggy submission (verdict: Runtime Error):
h,w,a,b=map(int,input().split())
mod=10**9+7

n=h+w+1
fc,inv=[1]*n,[1]*n
for i in range(1,n):
    fc[i]=i*fc[i-1]%mod
inv[n-1]=pow(fc[n-1],mod-2,mod)
for i in range(n-1,0,-1):
    inv[i-1]=inv[i]*i%mod
f=lambda a,b:fc[a+b]*inv[a]*inv[b]%mod

v=0
for i in range(b,w):
    v+=f(h-a-1,i)*f(a-1,w-i-1)%mod
print(v%mod)
Problem p04044 (python)

Fixed submission:
n,l=map(int,input().split())
m=sorted([input() for _ in range(n)])
print("".join(m))

Buggy submission (verdict: Runtime Error):
s,l=map(int,input().split())
m=sorted([input() for _ in range(l)])
print("".join(m))
Problem p04048 (python)

Fixed submission:
import sys
sys.setrecursionlimit(10**7)

def f(a,b):
    if a==b:return a
    if not a<b:a,b=b,a
    return 2*(b//a)*a+f(a,b%a) if b%a else 2*(b//a)*a-a

N,X=map(int,input().split())
print(f(X,N-X)+N)

Buggy submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**15)

def f(a,b):
    if a==b:return a
    if not a<b:a,b=b,a
    return f(a,b-a)+2*a

N,X=map(int,input().split())
print(f(X,N-X)+N)

Buggy submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**7)

def f(a,b):
    if a==b:return a
    if not a<b:a,b=b,a
    return f(a,b-a)+2*a

N,X=map(int,input().split())
print(f(X,N-X)+N)
Problem p03024 (python)

Fixed submission:
#JMD
#Nagendra Jha-4096

 
import sys
import math

#import fractions
#import numpy
 
###File Operations###
fileoperation=0
if(fileoperation):
    orig_stdout = sys.stdout
    orig_stdin = sys.stdin
    inputfile = open('W:/Competitive Programming/input.txt', 'r')
    outputfile = open('W:/Competitive Programming/output.txt', 'w')
    sys.stdin = inputfile
    sys.stdout = outputfile

###Defines...###
mod=1000000007
 
###FUF's...###
def nospace(l):
    ans=''.join(str(i) for i in l)
    return ans
 
 
 
##### Main ####
t=1
for tt in range(t):
    s=str(input())
    v=s.count('o')
    v+=15-len(s)
    if(v<8):
        print("NO")
    else:
        print("YES")
    #n,k,s= map(int, sys.stdin.readline().split(' '))
    #a=list(map(int,sys.stdin.readline().split(' ')))
    
    
#####File Operations#####
if(fileoperation):
    sys.stdout = orig_stdout
    sys.stdin = orig_stdin
    inputfile.close()
    outputfile.close()

Buggy submission (verdict: Runtime Error):
#JMD
#Nagendra Jha-4096

 
import sys
import math

#import fractions
#import numpy
 
###File Operations###
fileoperation=1
if(fileoperation):
    orig_stdout = sys.stdout
    orig_stdin = sys.stdin
    inputfile = open('W:/Competitive Programming/input.txt', 'r')
    outputfile = open('W:/Competitive Programming/output.txt', 'w')
    sys.stdin = inputfile
    sys.stdout = outputfile

###Defines...###
mod=1000000007
 
###FUF's...###
def nospace(l):
    ans=''.join(str(i) for i in l)
    return ans
 
 
 
##### Main ####
t=1
for tt in range(t):
    s=str(input())
    v=s.count('o')
    v+=15-len(s)
    if(v<8):
        print("NO")
    else:
        print("YES")
    #n,k,s= map(int, sys.stdin.readline().split(' '))
    #a=list(map(int,sys.stdin.readline().split(' ')))
    
    
#####File Operations#####
if(fileoperation):
    sys.stdout = orig_stdout
    sys.stdin = orig_stdin
    inputfile.close()
    outputfile.close()