Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
a=list(map(int,input().split()))
count=0
lst=[]
now=1
for i in range(n):
    if now in set(lst):
        
        break
    lst.append(now)
    now=a[now-1]
ind=lst.index(now)

if k<=len(lst):
    print(lst[k])

else:
    newlst=lst[ind:]
    num=len(lst)-len(newlst)
    newk=k-num
    num2=newk%len(newlst)
    print(newlst[num2])

Fixed submission:
n,k=map(int,input().split())
a=list(map(int,input().split()))
count=0
lst={}
lst2=[]
now=1
c=0

while True:
    lst2.append(now)
    lst[now]=c
    now=a[now-1]
    if now in lst:
        break
    c+=1



amari=lst[now]
looplen=c-lst[now]+1


if k<=amari:
    print(lst2[k])

else:
    newlst=lst2[amari:]
    
    newk=k-amari
    num=newk%looplen
    print(newlst[num])

Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
a=list(map(int,input().split()))
count=0
lst=[]
now=1
for i in range(n):
    if now in lst:
        
        break
    lst.append(now)
    now=a[now-1]
ind=lst.index(now)

if k<=len(lst):
    print(lst[k])

else:
    newlst=lst[ind:]
    num=len(lst)-len(newlst)
    newk=k-num
    num2=newk%len(newlst)
    print(newlst[num2])

Fixed submission:
n,k=map(int,input().split())
a=list(map(int,input().split()))
count=0
lst={}
lst2=[]
now=1
c=0

while True:
    lst2.append(now)
    lst[now]=c
    now=a[now-1]
    if now in lst:
        break
    c+=1



amari=lst[now]
looplen=c-lst[now]+1


if k<=amari:
    print(lst2[k])

else:
    newlst=lst2[amari:]
    
    newk=k-amari
    num=newk%looplen
    print(newlst[num])
Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
k=int(input())
c=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for t in range(1,k+1):
           c+=gcd(gcd(i,j),t)
print(c)


Fixed submission:
import math
K = int(input())
c = 0
for i in range(1,K+1):
  for j in range(1,K+1):
    for k in range(1,K+1):
      c += math.gcd(math.gcd(i,j),k)
print(c)
Buggy python submission (verdict: Runtime Error):
from collections import*
n=int(input())
s=input()
c=0
r=s.count('R')
g=s.count('G')
b=s.count('B')
rgb=r*g*b

for i in range(n):
    for j in range(i+1,n):
        k=2*(j-i) 
        if k<=n and s[k]!=s[i] and s[k]!=s[j] and s[i]!=s[j]:
            rgb-=1

print(rgb)

Fixed submission:
from collections import*
n=int(input())
s=input()
c=0
r=s.count('R')
g=s.count('G')
b=s.count('B')
rgb=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[k]!=s[i] and s[k]!=s[j] and s[i]!=s[j]:
            rgb-=1

print(rgb)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=input()
c=0
for i in range(n-2):
    for j in range(i+1,n-1):
        for k in range(j+1,n):
            if (s[i]!=s[j] and s[i]!=s[k] and s[j]!=s[k]) and j-i!=k-j:
                c+=1

print(c)

Fixed submission:
from collections import*
n=int(input())
s=input()
c=0
r=s.count('R')
g=s.count('G')
b=s.count('B')
rgb=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[k]!=s[i] and s[k]!=s[j] and s[i]!=s[j]:
            rgb-=1

print(rgb)
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
if n==0 or k==0:
    print(0)
    exit()

if n%k==0:
    print(0)
    exit()
    
while n > abs(n-k):
    n=abs(n-k)
print(n)

Fixed submission:
n,k=map(int,input().split())
amari=n%k
if n==0:
    print(0)
    exit()

elif n%k==0:
    print(0)
    exit()


else:
    print(min(amari,k-amari))

'''    
while n > abs(n-k):
    n=abs(n-k)
print(n)
'''
Buggy python submission (verdict: Runtime Error):
from queue import deque
k=input()
que=deque([i for i in range(1,10)])
for i in range(k):
    x=que.popleft()
    if x%10!=0:
        que.append(10*x+x%10-1)
    que.append(10*x+x%10)
    if que%10!=9:
        que.append(10*x+q%10+1)
print(x)


Fixed submission:
from collections import deque
k=int(input())
q=deque(range(1,10))
for i in range(k):
    x=q.popleft()
    if x%10!=0:
        q.append(10*x+x%10-1)
    q.append(10*x+x%10)
    if x%10!=9:
        q.append(10*x+x%10+1)
print(x)

Buggy python submission (verdict: Runtime Error):
from queue imort deque
k=input()
que=deque([i for i in range(1,10)])
for i in range(k):
    x=que.popleft()
    if x%10!=0:
        que.append(10*x+x%10-1)
    que.append(10*x+x%10)
    if que%10!=9:
        que.append(10*x+q%10+1)
print(x)


Fixed submission:
from collections import deque
k=int(input())
q=deque(range(1,10))
for i in range(k):
    x=q.popleft()
    if x%10!=0:
        q.append(10*x+x%10-1)
    q.append(10*x+x%10)
    if x%10!=9:
        q.append(10*x+x%10+1)
print(x)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n,x,y=map(int,input().split())
t=deque()
for i in range(1,n+1):
    for j in range(i+1,n+1):
        t.append(min(abs(j-i),abs(i-x)+abs(j-y)+1))



for k in range(1,n):
    print(t.count(k))

Fixed submission:

n,x,y=map(int,input().split())
t=[0]*n
for i in range(1,n+1):
    for j in range(i+1,n+1):
        t[min(abs(j-i),abs(i-x)+abs(j-y)+1)]+=1


print(*t[1:],sep='\n')

Buggy python submission (verdict: Time Limit Exceeded):
n,x,y=map(int,input().split())
t=[]
for i in range(1,n+1):
    for j in range(i+1,n+1):
        t.append(min(abs(j-i),abs(i-x)+abs(j-y)+1))



for k in range(1,n):
    print(t.count(k))

Fixed submission:

n,x,y=map(int,input().split())
t=[0]*n
for i in range(1,n+1):
    for j in range(i+1,n+1):
        t[min(abs(j-i),abs(i-x)+abs(j-y)+1)]+=1


print(*t[1:],sep='\n')
Buggy python submission (verdict: Time Limit Exceeded):
import copy
from collections import Counter
n=int(input())
a=list(map(int,input().split()))
count=dict(Counter(a))
ans=0

for i in range(n):
    count1=copy.copy(count)
    num=a[i]
    count1[num]-=1
    for j,k in count1.items():
        ans+=k*(k-1)/2
    print(int(ans))
    ans=0


Fixed submission:
import copy
from collections import Counter
n=int(input())
a=list(map(int,input().split()))
count=dict(Counter(a))
ans=0
dic={}
for j,k in count.items():
    ans=k*(k-1)/2
    dic[j]=ans
s=sum(dic.values())
for i in range(n):
    v=count[a[i]]
    if v==0:
        print(0)
    else:
        print(int(s-v+1))
Buggy python submission (verdict: Runtime Error):
h,k=map(int,input().split())
if h==1 or w ==1:
    print(1)
if h*k%2==0:
    print((h*k)/2)
else:
    print((h*k)//2 + 1)


Fixed submission:
h,k=map(int,input().split())
if h==1 or k ==1:
    print(1)
elif h*k%2==0:
    print(int((h*k)/2))
else:
    print(int((h*k)//2 + 1))
Buggy python submission (verdict: Runtime Error):
a = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
for _ in range(n):
    b = int(input())
    for i in range(3):
        for j in range(3):
            if a[i][j] == b:
                a[i][j]=-1
for i in range(3):
    if a[i][0]==a[i][1]==a[i][2]==-1:
        print('Yes')
        exit()
    if a[0][i]==a[1][i]==a[2][i]==-1:
        print('Yes')
        exit()
if a[0][0]==a[1][1]==a[2][2]==-1 or a[0][2]==a[1][1]==a[2][0]==-1:
    print('Yes')
    exit()
print('No')

Fixed submission:
N = int(input())
if N %2 == 0:
    print(int(N/2))
else:
    print(N//2 + 1)
Buggy python submission (verdict: Runtime Error):
x = int(input())

is_prime = [True] * (10**5+1)   #全部Trueに
is_prime[0] = False
is_prime[1] = False

for i in range(2,int(10**2.5)+1):  
    if is_prime[i]:
        for j in range(i * 2, 10**5 + 1, i):
            is_prime[j] = False

while True:
    if is_prime[x]:
      break
    x+=1
print(x)

Fixed submission:
x = int(input())

is_prime = [True] * (10**6+1)   #全部Trueに
is_prime[0] = False
is_prime[1] = False

for i in range(2,int(10**3)+1):  
    if is_prime[i]:
        for j in range(i * 2, 10**6 + 1, i):
            is_prime[j] = False

while True:
    if is_prime[x]:
      break
    x+=1
print(x)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=input()
st=set()
seti=set()
for i in range(n-2):
    if i in seti:
        continue
    seti.add(i)
    
    for j in range(i+1,n-1):
        for k in range(j+1,n):
            pas=str(s[i])+str(s[j])+str(s[k])
            st.add(pas)


print(len(st))

Fixed submission:
n=int(input())
s=input()
ans=0
for i in range(0,10):
    a=s.find(str(i))    #findは文字列を検索して最初のインデックスを返す
    if a==-1:
        continue
    for j in range(0,10):
        b=s.find(str(j),a+1)
        if b==-1:
            continue
        for k in range(10):
            if s.find(str(k),b+1) != -1:
                ans+=1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=input()

st=set()
for i in range(n-2):
    for j in range(i+1,n-1):
        for k in range(j+1,n):
            pas=str(s[i])+str(s[j])+str(s[k])
            st.add(pas)


print(len(st))

Fixed submission:
n=int(input())
s=input()
ans=0
for i in range(0,10):
    a=s.find(str(i))    #findは文字列を検索して最初のインデックスを返す
    if a==-1:
        continue
    for j in range(0,10):
        b=s.find(str(j),a+1)
        if b==-1:
            continue
        for k in range(10):
            if s.find(str(k),b+1) != -1:
                ans+=1

print(ans)
Buggy python submission (verdict: Runtime Error):
a,b,x=map(int,input().split())
l=0
r=10**9+1

while r-l >1:
    mid=(r+l)//2
    if x < a*(mid) + b+len(str(mid)):
        max=mid
    else:
        min=mid

print(min)


Fixed submission:
s=input()
lst=['SUN','MON','TUE','WED','THU','FRI','SAT']
lst2=[7,6,5,4,3,2,1]
print(lst2[int(lst.index(s))])
Buggy python submission (verdict: Runtime Error):
n=int(input())
c=10**9
for i in range(1,n**0.5):
    if n%i==0:
        j=n/i
        if i+j < c:
            c=int(i+j)

print(c-2)

Fixed submission:
n=int(input())
c=10**13
for i in range(1,int(n**0.5)+1):
    if n%i==0:
        j=int(n/i)
        if i+j < c:
            c=int(i+j)

print(c-2)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
h=list(map(int,input().split()))

for i in range(n-1):
    for j in range(i,n):
        if h[i]-h[j]>=2:
            print('No')
            exit()
print('Yes')

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


for i in range(1,n):
    if h[i]-1>=h[i-1]:
        h[i]-=1
x=sorted(h)

print('Yes' if x==h else 'No')
Buggy python submission (verdict: Time Limit Exceeded):
l,r=map(int,input().split())
t=[]
for i in range(l,r):
    for j in range(i+1,r+1):
        t.append((i*j)%2019)
        if 0 in t:
            print(0)
            exit()
print(min(t))

Fixed submission:
l,r=map(int,input().split())
minimum=2019
for i in range(l,r):
    for j in range(i+1,r+1):
        tmp=(i*j)%2019
        if minimum>tmp:
            minimum=tmp
        if minimum==0:
            print(0)
            exit()
print(minimum)

Buggy python submission (verdict: Time Limit Exceeded):
l,r=map(int,input().split())
t=[]
for i in range(l,r):
    for j in range(i+1,r+1):
        t.append((i*j)%2019)

print(min(t))

Fixed submission:
l,r=map(int,input().split())
minimum=2019
for i in range(l,r):
    for j in range(i+1,r+1):
        tmp=(i*j)%2019
        if minimum>tmp:
            minimum=tmp
        if minimum==0:
            print(0)
            exit()
print(minimum)
Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
a=[int(input()) for _ in range(m)]
dp=[0]*(n+1)
dp[0]=1
for i in range(1,n+1):
    dp[i]=(dp[i-2]+dp[i-1])%1000000007
    if i in a:
        dp[i]=0
print(dp[n])

Fixed submission:
n,m=map(int,input().split())
a=set(int(input()) for _ in range(m))
dp=[0]*(n+1)
dp[0]=1
for i in range(1,n+1):
    dp[i]=(dp[i-2]+dp[i-1])%1000000007
    if i in a:
        dp[i]=0
print(dp[n])

Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
a=[int(input()) for _ in range(m)]
dp=[0]*(n+1)
dp[0]=1
for i in range(1,n+1):
    dp[i]=dp[i-2]+dp[i-1]
    if i in a:
        dp[i]=0
print(dp[n]%1000000007)

Fixed submission:
n,m=map(int,input().split())
a=set(int(input()) for _ in range(m))
dp=[0]*(n+1)
dp[0]=1
for i in range(1,n+1):
    dp[i]=(dp[i-2]+dp[i-1])%1000000007
    if i in a:
        dp[i]=0
print(dp[n])
Buggy python submission (verdict: Runtime Error):
import math
n=int(input)
l=[int(input) for _ in range(5)]
print(math.ceil(n/min(l)+4))


Fixed submission:

import math
n=int(input())
l=[int(input()) for _ in range(5)]
print(math.ceil(n/min(l)+4))

Buggy python submission (verdict: Runtime Error):
import math
n=int(input)
l=[int(input) for _ in range(5)]
print(ceil(n/min(l)+4))


Fixed submission:

import math
n=int(input())
l=[int(input()) for _ in range(5)]
print(math.ceil(n/min(l)+4))
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
ans=0
if k%2==1:
    ans=(n//k)**3
    print(ans)
else:
    print((n//k)**3+(n+(k//2)//k)**3)



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

Fixed submission:

from collections import Counter
n=int(input())
a=list(map(int,input().split()))
s=[0]
ans=0
for i in range(n):
    s.append(s[-1]+a[i])  #sの最後とa[i]を足していく
c=Counter(s)    #Counter({4: 2, 2: 2, 1: 1, 0: 1})
for n in dict(c).values():    #{1: 1, 4: 2, 0: 1, 2: 2}のvalueを順に取り出す
    ans+=n*(n-1)//2     #nC2を計算する
print(ans)


'''
from collections import Counter
N = int(input())
A = [int(i) for i in input().split()]
l = [0]
ans = 0
for a in A:
    l.append(l[-1]+a)
c = Counter(l)
print(l)
for n in dict(c).values():
    ans += n*(n-1)//2
print(ans)
'''
Buggy python submission (verdict: Runtime Error):
n,m,x=map(int,input().split)
s=sum(int(i)<x for i in input().split())
print(min(s,m-s))

Fixed submission:
n,m,x=map(int,input().split())
s=sum(int(i)<x for i in input().split())
print(min(s,m-s))

Buggy python submission (verdict: Runtime Error):
n,m,x=map(int,input().split)
s=sum(int(i)<x for i in input().split())
print(min(s,m-s))

Fixed submission:
n,m,x=map(int,input().split())
s=sum(int(i)<x for i in input().split())
print(min(s,m-s))
Buggy python submission (verdict: Runtime Error):
a,b,c,d=(int(input) for _ in range(4))
print(min(a,b)+min(c,d))

Fixed submission:
a,b,c,d=(int(input()) for _ in range(4))
print(min(a,b)+min(c,d))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
ans=1
for i in range(n):
    if i**2<=n and i**2 > ans:
        ans=i**2
print(ans)

Fixed submission:
print(int(int(input())**.5)**2)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=[int(input()) for _ in range(n)]

ans=[]
for i in range(n):
    if a[i] in ans:
        ans.remove(a[i])
    else:
        ans.append(a[i])
print(len(ans))


Fixed submission:
from collections import Counter
n=int(input())
a=[int(input()) for _ in range(n)]

dic=dict(Counter(a))
ans=0
for i,k in dic.items():
    if k%2==1:
        ans+=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
a,b,c=map(int,input().split())
for i in range(10**9):
    if i*a%b==c:
        print('YES')
        exit()

print('NO')


Fixed submission:
a,b,c=map(int,input().split())
for i in range(1,b+1):
    if i*a%b==c:
        print('YES')
        exit()

print('NO')
Buggy python submission (verdict: Runtime Error):
a,b,x=map(int,input().split())
count=0
lst=[0]*(b+1)

for i in range(0,b+1):
    lst[i]=i//x
print(lst[b]-lst[a-1])

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

fb=b//x
fa=(a-1)//x
print(fb-fa)
Buggy python submission (verdict: Time Limit Exceeded):
import heapq

N, M = [int(i) for i in input().split()]
H = [-int(i) for i in input().split()]

G = [[0] * N for i in range(N)]
#print(G)

for i in range(M):
  a, b = [int(j) for j in input().split()]
  #print(a, b)
  G[a-1][b-1] = H[b-1]
  G[b-1][a-1] = H[a-1]

#for g in G:
#  print(g)
NG = []  
for ixa, g in enumerate(G):
  #print(g)
  ha = -H[ixa]
  heapq.heapify(g)
  hb = -heapq.heappop(g)
  #print(ha, hb)
  if ha <= hb:
    if ixa not in NG:
      NG.append(ixa)
      
#print(NG)
print(N - len(NG))

Fixed submission:
import heapq

N, M = [int(i) for i in input().split()]
H = [int(i) for i in input().split()]

NG = []

for i in range(M):
  a, b = [int(j) for j in input().split()]
  if H[a-1] < H[b-1]:
    NG.append(a)
  elif H[a-1] > H[b-1]:
    NG.append(b)
  else:
    NG.append(a)
    NG.append(b)
NG = set(NG)
#print(NG)
print(N - len(NG))

Buggy python submission (verdict: Time Limit Exceeded):
N, M = [int(i) for i in input().split()]
H = [int(i) for i in input().split()]

G = [[0] * N for i in range(N)]
#print(G)

for i in range(M):
  a, b = [int(j) for j in input().split()]
  #print(a, b)
  G[a-1][b-1] = 1
  G[b-1][a-1] = 1

#for g in G:
#  print(g)
NG = []  
for ixa, g in enumerate(G):
  #print(g)
  ha = H[ixa]
  for ixb, gg in enumerate(g):
    if gg == 0:
      continue    
    hb = H[ixb]
    if ha <= hb:
      if ixa not in NG:
        NG.append(ixa)
        break
#print(NG)    
print(N - len(NG))

Fixed submission:
import heapq

N, M = [int(i) for i in input().split()]
H = [int(i) for i in input().split()]

NG = []

for i in range(M):
  a, b = [int(j) for j in input().split()]
  if H[a-1] < H[b-1]:
    NG.append(a)
  elif H[a-1] > H[b-1]:
    NG.append(b)
  else:
    NG.append(a)
    NG.append(b)
NG = set(NG)
#print(NG)
print(N - len(NG))
Buggy python submission (verdict: Time Limit Exceeded):
X = int(input())
#print(X)
n = X
div = []
for i in range(1, int(n**0.5)+1):
  if n % i == 0:
    div.append(i)
    if i != n // i:
      div.append(n//i)
#print(div)

for i in div:
  for a in range(-i, i+1): 
    b = a - i
    #print(a, b)
    if a**5 - b**5 == X:
      print(a, b)
      break
  else:
    continue
  break
   
    

Fixed submission:
X = int(input())
#print(X)
n = X
div = []
for i in range(1, int(n**0.5)+1):
  if n % i == 0:
    div.append(i)
    if i != n // i:
      div.append(n//i)
#print(div)

for i in div:
  for a in range(0, 10001): 
    b = a - i
    #print(a, b)
    if a**5 - b**5 == X:
      print(a, b)
      break
  else:
    continue
  break
Buggy python submission (verdict: Runtime Error):
import itertools

N = int(input())
num = [100,101,102,103,104,105]
p = itertools.permutations(num, 5)



if X < 100:
    print(0)
else:
    ret = 0
    M = []
    for i in range(1, 6):
        c = itertools.combinations(num, i)
        for j in c:
            ret = sum(j)
            M.append(ret)

    ans = 0

    for i in num:
        if N % i == 0:
            ans = 1
            break
        if N % i in M:
            ans = 1
            break
        for j in M:
            if (N%i)%j == 0:
                ans = 1
        
        
    r = N
    for i in M:
        r = r - i
        if r in M:
            ans = 1
            break

    print(ans)

Fixed submission:
M = [100,101,102,103,104,105]
X = int(input())

dp = [0 for i in range(X+1)]
dp[0] = 1

for i in range(X):
    if dp[i] == 1:
        for j in M:
            if i + j <= X:
                dp[i+j] = 1
print(dp[-1])
Buggy python submission (verdict: Time Limit Exceeded):
import itertools

N = int(input())
#print(N)
L = [int(i) for i in input().split()]
#print(L)
C = itertools.combinations(L, 3)

cnt = 0
for j in C:
    a, b, c = j
    if a < b+c and b < c+a and c < a+b:
        cnt += 1

print(cnt)

Fixed submission:
from bisect import bisect_left
 
N = int(input())
L = list(map(int, input().split()))
 
L.sort()
#print(L)
ans = 0
for i in range(N - 2):
    a = L[i]
    for j in range(i + 1, N - 1):
        ans += bisect_left(L, a + L[j])  - j - 1
        #print(ans, end=",")
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import heapq

N, M = [int(i) for i in input().split()]
a = input().split()
A = [int(i) for i in a]
#print(N, M)
#print(A)

def heapsort(list):
    h = []
    for i in A:
        heapq.heappush(h, i)
    return [heapq.heappop(h) for i in range(len(h))]

for i in range(M):
    A = heapsort(A)
    n = len(A) - 1
    A[n] = A[n]//2

print(sum(A))

Fixed submission:
import heapq

N, M = [int(i) for i in input().split()]
A = [-int(i) for i in input().split()]
#print(N, M)
#print(A)

heapq.heapify(A)
for i in range(M):
    a = -heapq.heappop(A)
    a = a//2
    heapq.heappush(A, -a)

print(-sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
N, M = [int(i) for i in input().split()]
a = input().split()
A = [int(i) for i in a]
#print(N, M)
#print(A)

for i in range(M):
    n = A.index(max(A))
    A[n] = A[n]//2

print(sum(A))

Fixed submission:
import heapq

N, M = [int(i) for i in input().split()]
A = [-int(i) for i in input().split()]
#print(N, M)
#print(A)

heapq.heapify(A)
for i in range(M):
    a = -heapq.heappop(A)
    a = a//2
    heapq.heappush(A, -a)

print(-sum(A))
Buggy python submission (verdict: Runtime Error):
N, M = [int(i) for i in input().split()]
for j in range(M):
    a, b = [int(k) for k in input().split()]
    graph[a-1][b-1] = graph[b-1][a-1] = 1

nmax = 50
graph = [[0]*nmax for i in range(nmax)]

print(*graph)

Fixed submission:
N, M = [int(i) for i in input().split()]
graph = [[0]*N for i in range(N)]
vstd = [0] * N

for i in range(M):
    a, b = [int(i) for i in input().split()]
    graph[a-1][b-1] = graph[b-1][a-1] = 1
#print(*graph, sep="\n")

def dfs(v):
    vstd[v] = 1
    for v2 in range(N):
        if graph[v][v2] == 0:
            continue
        if vstd[v2] == 1:
            continue
        dfs(v2)
 
ans = 0
for i in range(N):
    for j in range(N):
        if graph[i][j] == 0:
            continue
        graph[i][j] = graph[j][i] = 0
        for k in range(N):
            vstd[k] = 0
        dfs(0)
        bridge = False
        for k in range(N):
            if vstd[k] == 0:
                bridge = True
        if bridge == True:
            ans += 1
        graph[i][j] = graph[j][i] = 1

print(ans//2)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

P = []
for i in range(N):
  n = int(input())
  if n in P:
    P.remove(n)
  else:
    P.append(n)

print(len(P))

Fixed submission:
from collections import Counter

N = int(input())
P = []
for i in range(N):
  P.append(int(input()))
  
Pc = Counter(P)

ans = 0
for k, v in Pc.items():
  if v%2 != 0:
    ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = [int(i) for i in input().split()]
L = []
for i in range(N):
  a, b = [int(j) for j in input().split()]
  l = [a]*b
  L.extend(l)
L.sort()
print(L[K-1])

Fixed submission:
N, K = [int(i) for i in input().split()]
L = []
for i in range(N):
  a, b = [int(j) for j in input().split()]
  L.append([a, b])
L.sort(key=lambda x: x[0])
#print(L)

cnt = 0
for x, y in L:
  cnt += y
  if cnt >= K:
    ans = x
    break
print(ans)
Buggy python submission (verdict: Runtime Error):
nmax = 8
graph = [[0]*nmax for i in range(nmax)]
visited = [0] * nmax

def dfs(v, N, visitied):
  all_visited = True
  for i in range(N):
    if visitied[i] == 0:
      all_visited = False
    if all_visited:
      return 1
  
  ret = 0
  for i in range(N):
    if graph[v][i] == 0:
      continue
    if visited[i] == 0:
      continue
    visited[i] = 1
    ret += dfs(i, N, visited)
    visited[i] = False
  return ret
      

N, M = [int(i) for i input().split()]
for j in range(M):
  a, b = [int(j) for j in input().split()]
  graph[a-1][b-1] = graph[b-1][a-1] = 1

visited[0] = 1
print(dfs(0, N, visited))
  


Fixed submission:
nmax = 8
graph = [[0]*nmax for i in range(nmax)]
visited = [0] * nmax


def dfs(v, N, visited):
    all_visited = True
    for i in range(N):
        if visited[i] == 0:
            all_visited = False
    if all_visited:
        return 1
  
    ret = 0
    for i in range(N):
        if graph[v][i] == 0:
            continue
        if visited[i] == 1:
            continue
        visited[i] = 1
        ret += dfs(i, N, visited)
        visited[i] = 0
    return ret
      

N, M = [int(i) for i in input().split()]
for j in range(M):
    a, b = [int(j) for j in input().split()]
    graph[a-1][b-1] = graph[b-1][a-1] = 1


visited[0] = 1
print(dfs(0, N, visited))