Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
N, M, K = map(int, input().split())
mod = 998244353

b = str(bin(mod-2))[2:]
blis = []
for _ in range(len(b)):
  if b[-_-1] == '1':
    blis.append(_)

def modinv(a):
  if a == 1:
    return 1
  else:
    res = 1
    n = len(b)
    li = []
    for _ in range(n):
      li.append(a%mod)
      a = a*a
    for item in blis:
      res = res * li[item] %mod
    return res
      

if N == 1:
  print(M)
  exit()

m = [1]
s = 1
for _ in range(N-1):
  s = s*(M-1)%mod
  m.append(s)

ncombi = [1]
c = 1
for k in range(K):
  c = c*(N-1-k)*modinv(k+1)
  c %= mod
  ncombi.append(c)

ans = 0
for k in range(K+1):
  ans = ans + m[-k -1]*ncombi[k]
  ans %= mod

ans = ans*M%mod

print(ans)

Fixed submission:
N, M, K = map(int, input().split())
mod = 998244353

inv = [0,1]
for i in range(2, N):
  inv.append((-inv[mod%i]*(mod//i))%mod)

if N == 1:
  print(M)
  exit()

m = [1]
s = 1
for _ in range(N-1):
  s = s*(M-1)%mod
  m.append(s)

ncombi = [1]
c = 1
for k in range(K):
  c = c*(N-1-k)*inv[k+1]
  c %= mod
  ncombi.append(c)

ans = 0
for k in range(K+1):
  ans = ans + m[-k -1]*ncombi[k]
  ans %= mod

ans = ans*M%mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, M, K = map(int, input().split())
mod = 998244353

if N == 1:
  print(M)
  exit()

m = [1]
s = 1
for _ in range(N-1):
  s = s*(M-1)%mod
  m.append(s)

ncombi = [1]
c = 1
for k in range(K):
  c = c * (N-1-k)//(k+1)
  ncombi.append(c%mod)

ans = 0
for k in range(K+1):
  ans = ans + m[-k -1]*ncombi[k]
  ans %= mod

ans = ans*M%mod

print(ans)

Fixed submission:
N, M, K = map(int, input().split())
mod = 998244353

inv = [0,1]
for i in range(2, N):
  inv.append((-inv[mod%i]*(mod//i))%mod)

if N == 1:
  print(M)
  exit()

m = [1]
s = 1
for _ in range(N-1):
  s = s*(M-1)%mod
  m.append(s)

ncombi = [1]
c = 1
for k in range(K):
  c = c*(N-1-k)*inv[k+1]
  c %= mod
  ncombi.append(c)

ans = 0
for k in range(K+1):
  ans = ans + m[-k -1]*ncombi[k]
  ans %= mod

ans = ans*M%mod
print(ans)

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(100000)

N, M, K = map(int, input().split())
mod = 998244353

m = [1, M]
k = M
for _ in range(1, N+1):
  k = k*(M-1)%mod
  m.append(k)
ans = []


def solve(now, pairs, colors):
  if now == N:
    ans.append(m[colors])
    return 0
  elif pairs == K:
    colors += N - now
    ans.append(m[colors])
    return 0
  else:
    solve(now+1, pairs+1, colors)
    solve(now+1, pairs, colors+1)


solve(1, 0, 1)


#print(ans)
a = 0
for _ in range(len(ans)):
  a += ans[_]
  a %= mod
print(a)

Fixed submission:
N, M, K = map(int, input().split())
mod = 998244353

inv = [0,1]
for i in range(2, N):
  inv.append((-inv[mod%i]*(mod//i))%mod)

if N == 1:
  print(M)
  exit()

m = [1]
s = 1
for _ in range(N-1):
  s = s*(M-1)%mod
  m.append(s)

ncombi = [1]
c = 1
for k in range(K):
  c = c*(N-1-k)*inv[k+1]
  c %= mod
  ncombi.append(c)

ans = 0
for k in range(K+1):
  ans = ans + m[-k -1]*ncombi[k]
  ans %= mod

ans = ans*M%mod
print(ans)
Buggy python submission (verdict: Runtime Error):
N, M, Q = map(int, input().split())
a = [0 for _ in range(Q)]
b = [0 for _ in range(Q)]
c = [0 for _ in range(Q)]
d = [0 for _ in range(Q)]
for k in range(Q):
  a[k], b[k], c[k], d[k] = map(int, input().split())
A = [1 for _ in range(N)]

def point(A):
  p = 0
  for ai, bi, ci, di in zip(a, b, c, d):
    if A[bi-1] - A[ai-1] == ci:
      p += di
  return p

def next(A):
  k = 1
  while k < N+1:
    if A[-k] < M:
      A[-k] += 1
      return A
      break
    else:
      for j in range(1, k+1):
        A[-j] = A[-k-1] + 1
      k += 1
      
ans = max(ans, point([M for _ in range(N)]))
while A[0] < M:
  ans = max(ans, point(A))
  A = next(A)
print(ans)

Fixed submission:
N, M, Q = map(int, input().split())
a = [0 for _ in range(Q)]
b = [0 for _ in range(Q)]
c = [0 for _ in range(Q)]
d = [0 for _ in range(Q)]
for k in range(Q):
  a[k], b[k], c[k], d[k] = map(int, input().split())
A = [1 for _ in range(N)]

def point(A):
  p = 0
  for ai, bi, ci, di in zip(a, b, c, d):
    if A[bi-1] - A[ai-1] == ci:
      p += di
  return p

def next(A):
  k = 1
  while k < N+1:
    if A[-k] < M:
      A[-k] += 1
      return A
      break
    else:
      for j in range(1, k+1):
        A[-j] = A[-k-1] + 1
      k += 1

ans = point([M for _ in range(N)])
while A[0] < M:
  ans = max(ans, point(A))
  A = next(A)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=input()
count=0
nocount=0
Rcount=0
Gcount=0
Bcount=0
for k in range(N):
    if S[k]=="R":
        Rcount+=1
    if S[k]=="G":
        Gcount+=1
Bcount = N -Rcount-Gcount
count=Rcount*Gcount*Bcount
for k in range(3,N+1):
    for i in range(1,k-1):
        if k%2==i%2 and S[i-1]!=S[k-1]:
            j=(i+k)//2
            if S[i-1]!=S[j-1] and S[k-1]!=S[j-1]:
                nocount+=1
print(count-nocount)


Fixed submission:
N=int(input())
S=input()
count=0
nocount=0
Rcount=0
Gcount=0
Bcount=0
for k in range(N):
    if S[k]=="R":
        Rcount+=1
    if S[k]=="G":
        Gcount+=1
Bcount = N -Rcount-Gcount
count=Rcount*Gcount*Bcount
for k in range(3,N+1):
    if k%2==1:
        for i in range(1,k-1,2):
            if S[i-1]!=S[k-1]:
                j=(i+k)//2
                if S[i-1]!=S[j-1] and S[k-1]!=S[j-1]:
                    nocount+=1
    if k%2==0:
        for i in range(2,k-1,2):
            if S[i-1]!=S[k-1]:
                j=(i+k)//2
                if S[i-1]!=S[j-1] and S[k-1]!=S[j-1]:
                    nocount+=1
print(count-nocount)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=input()
count=0
for k in range(3,N+1):
    for j in range(2,k):
        if S[j-1]!=S[k-1]:
            for i in range(1,j):
                if S[i-1]!=S[j-1] and S[k-1]!=S[i-1] and j-i!=k-j:
                    count+=1
print(count)


Fixed submission:
N=int(input())
S=input()
count=0
nocount=0
Rcount=0
Gcount=0
Bcount=0
for k in range(N):
    if S[k]=="R":
        Rcount+=1
    if S[k]=="G":
        Gcount+=1
Bcount = N -Rcount-Gcount
count=Rcount*Gcount*Bcount
for k in range(3,N+1):
    if k%2==1:
        for i in range(1,k-1,2):
            if S[i-1]!=S[k-1]:
                j=(i+k)//2
                if S[i-1]!=S[j-1] and S[k-1]!=S[j-1]:
                    nocount+=1
    if k%2==0:
        for i in range(2,k-1,2):
            if S[i-1]!=S[k-1]:
                j=(i+k)//2
                if S[i-1]!=S[j-1] and S[k-1]!=S[j-1]:
                    nocount+=1
print(count-nocount)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=input()
count=0
for k in range(3,N+1):
    for j in range(2,k):
        for i in range(1,j):
            if S[i-1]!=S[j-1] and S[j-1]!=S[k-1] and S[k-1]!=S[i-1] and j-i!=k-j:
                count+=1
print(count)


Fixed submission:
N=int(input())
S=input()
count=0
nocount=0
Rcount=0
Gcount=0
Bcount=0
for k in range(N):
    if S[k]=="R":
        Rcount+=1
    if S[k]=="G":
        Gcount+=1
Bcount = N -Rcount-Gcount
count=Rcount*Gcount*Bcount
for k in range(3,N+1):
    if k%2==1:
        for i in range(1,k-1,2):
            if S[i-1]!=S[k-1]:
                j=(i+k)//2
                if S[i-1]!=S[j-1] and S[k-1]!=S[j-1]:
                    nocount+=1
    if k%2==0:
        for i in range(2,k-1,2):
            if S[i-1]!=S[k-1]:
                j=(i+k)//2
                if S[i-1]!=S[j-1] and S[k-1]!=S[j-1]:
                    nocount+=1
print(count-nocount)
Buggy python submission (verdict: Time Limit Exceeded):
K=int(input())
num=9
count=9
if K<10:
    print(K)
else:
    for j in range(1000000000000000):
        num+=1
        order=len(str(num))
        count2=0
        for k in range(order-1):
            if abs(int(str(num)[k])-int(str(num)[k+1]))<2:    
                count2+=1
            else:
                break
        if count2==order-1:
            count+=1
        if count==K:
            break        
    print(num)

Fixed submission:
K=int(input())
num1=[[1,2,3,4,5,6,7,8,9]]
num2=[]
sm=0
for j in range(10):
    li=[]
    for k in range(len(num1[j])):
        if num1[j][k]%10!=0:
            li.append(num1[j][k]*10+num1[j][k]%10-1)
        li.append(num1[j][k]*10+num1[j][k]%10)
        if num1[j][k]%10!=9:
            li.append(num1[j][k]*10+num1[j][k]%10+1)
    li.sort()
    num1.append(li)
for j in range(len(num1)):
    sm+=len(num1[j])
    num2+=num1[j]
print(num2[K-1])
Buggy python submission (verdict: Runtime Error):
N = int(input())

if N == 2:
  print(1)
  exit()

ans = 0

def factorization(n):
  lis = []
  if n % 2 == 0:
    c = 0
    while n%2 == 0:
      n //= 2
      c += 1
    lis.append([2, c])
  k = 3
  while k*k <= n:
    if n%k == 0:
      c = 0 
      while n%k == 0:
        n //= k
        c += 1
      lis.append([k, c])
    else:
      k += 2
  if n > 1:
    lis.append([n, 1])
  return lis

list1 = factorization(N-1)
ans1 = 1
for k in range(len(list1)):
  ans1 *= list1[k][1]+1
ans += ans1-1

def operation(K):
  while N%K == 0:
    N //= K
  if N%K == 1:
    return True
  else:
    return False

list2 = factorization(N)
factorlist = [1]
for l in range(len(list2)):
  list3 = []
  for j in range(list2[l][1]):
    for k in range(len(factorlist)):
      list3.append(factorlist[k]*list2[l][0]**(j+1))
  factorlist += list3
factorlist = factorlist[1:-1]
ans += 1
for item in factorlist:
  if operation(item):
    ans +=1
print(ans)

Fixed submission:
N = int(input())
originalN = 0 +N
if N == 2:
  print(1)
  exit()
ans = 0
primenum = [2]
count = [0 for _ in range(int(N**0.5)+2)]
for k in range(3, len(count), 2):
  if count[k] == 0:
    primenum.append(k)
    for j in range(k, len(count), k):
      count[j] = 1
    
def factorization(n):
  lis = []
  k = 0
  while primenum[k] <= n:
    if n%primenum[k] == 0:
      c = 0 
      while n%primenum[k] == 0:
        n //= primenum[k]
        c += 1
      lis.append([primenum[k], c])
    else:
      k += 1
      if k > len(primenum)-1:
        break
  if n > 1:
    lis.append([n, 1])
  return lis

list1 = factorization(N-1)
#print(factorization(N-1))
ans1 = 1
for k in range(len(list1)):
  ans1*= list1[k][1]+1
ans1 -= 1
ans += ans1

#print(ans1)

def operation(K):
  N = originalN
  while N%K == 0:
    N //= K
  if N%K == 1:
    return True
  else:
    return False

list2 = factorization(N)
#print(list2)
factorlist = [1]

for l in range(len(list2)):
  list3 = []
  for j in range(list2[l][1]):
    for k in range(len(factorlist)):
      list3.append(factorlist[k]*list2[l][0]**(j+1))
  factorlist += list3

factorlist = factorlist[1:-1]
#print(factorlist)
ans2 = 1
for item in factorlist:
  if operation(item):
    #print(item)
    ans2 +=1


ans += ans2
#print(ans2)

print(ans)
Buggy python submission (verdict: Runtime Error):
s = input()
sgn = 1
Q = int(input())
ans = []
for _ in range(Q):
  i = input()
  if i[0] == '1':
    sgn*=-1
  else:
    if i[2] == '1':
      ans.append([i[4], -sgn])
    else:
      ans.append([i[4], sgn])

if sgn == -1:
  s = s[::-1]
  for k in range(len(ans)):
    if ans[k][1] == -1:
      s = s + ans[k][0]
    else:
      s = ans[k][0] + s
else:
  for k in range(len(ans)):
    if ans[k][1] == 1:
      s = s + ans[k][0]
    else:
      s = ans[k][0] + s

print(s)

Fixed submission:
s = input()
if s.count('A') == 0 or s.count('B') == 0:
  print('No')
else:
  print('Yes')
Buggy python submission (verdict: Time Limit Exceeded):
s = input()
sgn = 1
Q = int(input())
ans = []
for _ in range(Q):
  i = input()
  if i[0] == '1':
    sgn*=-1
  else:
    if i[2] == '1':
      ans.append([i[4], -sgn])
    else:
      ans.append([i[4], sgn])

if sgn == -1:
  s = s[::-1]
  for k in range(len(ans)):
    if ans[k][1] == -1:
      s = s + ans[k][0]
    else:
      s = ans[k][0] + s
else:
  for k in range(len(ans)):
    if ans[k][1] == 1:
      s = s + ans[k][0]
    else:
      s = ans[k][0] + s

print(s)

Fixed submission:
s = input()
sgn = 1
Q = int(input())
L = '' #sgn=-1
R = '' #sgn=1
for _ in range(Q):
  i = input()
  if i[0] == '1':
    sgn*=-1
  else:
    if i[2] == '1':
      if sgn == 1:
        L += i[4]
      else:
        R += i[4]
    else:
      if sgn == 1:
        R += i[4]
      else:
        L += i[4]

if sgn == -1:
  s = s[::-1]
  R = R[::-1]
  print(R + s +L)
  
else:
  L = L[::-1]
  print(L + s + R)

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
sgn = 1
Q = int(input())
ans = []
for _ in range(Q):
  i = input()
  if i[0] == '1':
    sgn*=-1
  else:
    if i[2] == '1':
      ans.append([i[4], -sgn])
    else:
      ans.append([i[4], sgn])

if sgn == -1:
  s = s[::-1]
  for k in range(len(ans)):
    if ans[k][1] == -1:
      s = s + ans[k][0]
    else:
      s = ans[k][0] + s
else:
  for k in range(len(ans)):
    if ans[k][1] == 1:
      s = s + ans[k][0]
    else:
      s = ans[k][0] + s

print(s)

Fixed submission:
s = input()
sgn = 1
Q = int(input())
L = '' #sgn=-1
R = '' #sgn=1
for _ in range(Q):
  i = input()
  if i[0] == '1':
    sgn*=-1
  else:
    if i[2] == '1':
      if sgn == 1:
        L += i[4]
      else:
        R += i[4]
    else:
      if sgn == 1:
        R += i[4]
      else:
        L += i[4]

if sgn == -1:
  s = s[::-1]
  R = R[::-1]
  print(R + s +L)
  
else:
  L = L[::-1]
  print(L + s + R)
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
ans = [-1 for _ in range(N)]
if N ==1:
  ans = 0
  clis = []
  for _ in range(M):
    s, c = map(int, input().split())
    clis.append(c)
  if len(set(clis)) == 1:
    print(clis[0])
  elif len(set(clis)) == 0:
    print(0)
  else:
    print(-1)
     
else:
  for _ in range(M):
    s, c = map(int, input().split())
    if s == 1 and c == 0:
      print(-1)
      exit()
    if ans[s-1] == c or ans[s-1] == -1:
      ans[s-1] = c
    else:
      print(-1)
      exit()

ans[0] = max(1, ans[0])
answer = ''
for k in range(N):
  if ans[k] == -1:
    answer += '0'
  else:
    answer += str(ans[k])
print(answer)


Fixed submission:
N, M = map(int, input().split())
ans = [-1 for _ in range(N)]
if N ==1:
  ans = 0
  clis = []
  for _ in range(M):
    s, c = map(int, input().split())
    clis.append(c)
  if len(set(clis)) == 1:
    print(clis[0])
    exit()
  elif len(set(clis)) == 0:
    print(0)
    exit()
  else:
    print(-1)
    exit()
else:
  for _ in range(M):
    s, c = map(int, input().split())
    if s == 1 and c == 0:
      print(-1)
      exit()
    if ans[s-1] == c or ans[s-1] == -1:
      ans[s-1] = c
    else:
      print(-1)
      exit()

ans[0] = max(1, ans[0])
answer = ''
for k in range(N):
  if ans[k] == -1:
    answer += '0'
  else:
    answer += str(ans[k])
print(answer)
Buggy python submission (verdict: Time Limit Exceeded):
mod = 10**9 +7
n, a, b = map(int, input().split())

nb = str(bin(n))[2:]
nblis = []
for k in range(len(nb)):
  if nb[-k-1] == '1':
    nblis.append(k)

two = [2]
for k in range(len(nb)-1):
  two.append(two[-1]*two[-1]%mod)


ans = 1
for item in nblis:
  ans = ans * two[item] %mod



bi = str(bin(mod-2))[2:]
blis = []
for k in range(len(bi)):
  if bi[-k-1] == '1':
    blis.append(k)


def modinv(N):
  if N == 1:
    return 1
  else:
    res = 1
    li = []
    for _ in range(len(bi)):
      li.append(N%mod)
      N = N*N%mod
    for item in blis:
      res = res * li[item] %mod
    return res

ans_a = 1
for k in range(n-a+1, n+1):
  ans_a = ans_a*k%mod
for k in range(2, a+1):
  ans_a = ans_a*modinv(k)%mod


ans_b = 1
for k in range(n-b+1, n+1):
  ans_b = ans_b*k%mod
for k in range(2, b+1):
  ans_b = ans_b*modinv(k)%mod

print((ans-ans_a-ans_b-1)%mod)

Fixed submission:
mod = 10**9 +7
n, a, b = map(int, input().split())

nb = str(bin(n))[2:]
nblis = []
for k in range(len(nb)):
  if nb[-k-1] == '1':
    nblis.append(k)

two = [2]
for k in range(len(nb)-1):
  two.append(two[-1]*two[-1]%mod)


ans = 1
for item in nblis:
  ans = ans * two[item] %mod



bi = str(bin(mod-2))[2:]
blis = []
for k in range(len(bi)):
  if bi[-k-1] == '1':
    blis.append(k)


def modinv(N):
  if N == 1:
    return 1
  else:
    res = 1
    li = []
    for _ in range(len(bi)):
      li.append(N%mod)
      N = N*N%mod
    for item in blis:
      res = res * li[item] %mod
    return res

ans_a = 1
for k in range(n-a+1, n+1):
  ans_a = ans_a*k%mod
for k in range(2, a+1):
  ans_a = ans_a*modinv(k)%mod


ans_b = 1
for k in range(n-b+1, n+1):
  ans_b = ans_b*k%mod
for k in range(2, b+1):
  ans_b = ans_b*modinv(k)%mod

print((ans-ans_a-ans_b-1)%mod)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
S = input()
if N <= M:
  print(N)
  exit()
if '1'*M in S:
  print(-1)
  exit()
count = [0 for _ in range(N+1)]
for k in range(M+1):
  if S[k] == '1':
    count[k] = -1
  else:
    count[k] = k
from collections import deque
now = M
while now < N:
  now += 1
  cnt = 0 
  before = deque(count[now-M:now])
  a = before.popleft()
  if S[now] == '1':
    count[now] = -1
    continue
  else:
    if a > 0:
      count[now] = M
    else:
      while a  < 0:
        cnt += 1
        a = before.popleft()
      count[now] = M - cnt

c = 0
ans = ''
while c < N:
  ans = str(count[-1-c]) + ' ' + ans
  c += count[-1-c]

print(ans)

Fixed submission:
N, M = map(int, input().split())
S = input()
if N <= M:
  print(N)
  exit()
if '1'*M in S:
  print(-1)
  exit()

from collections import deque
count = deque([])
for k in range(M+1):
  if S[k] == '1':
    count.append(-1)
  else:
    count.append(k)
sgn = deque([])
k = 0
while k < N:
  k += 1
  if S[k] == '0':
    sgn.append(M)
  else:
    d = 0
    while k < N:
      if S[k] == '1':
        k += 1
        d += 1
        continue
      else:
        break
    while d > 0:
      sgn.append(M-d)
      d -= 1
    sgn.append(M)
now = M
while now < N:
  now += 1
  a = sgn.popleft()
  if S[now] == '1':
    count.append(-1)
  else:
    count.append(a)
count = list(count)  
c = 0
ans = ''
while c < N:
  ans = str(count[-1-c]) + ' ' + ans
  c += count[-1-c]

print(ans)
Buggy python submission (verdict: Runtime Error):
N, A, B, C = map(int,input().split())
ans = []
flag = True
cnt = 0
while True:
  if A < 0 or B < 0 or C < 0:
    flag = False
    break
  cnt += 1
  if cnt > N:
    break
  s = input()
  if s == 'AB':
    if A == B == 1:
      cnt += 1
      if cnt > N:
        ans.append('A')
        break
      else:
        s = input()
        if s == 'AB':
          ans.append('A')
          ans.append('B')
          continue
        elif s == 'AC':
          ans.append('A')
          ans.append('C')
          B -= 1
          C += 1
          continue
        else:
          ans.append('B')
          ans.append('C')
          A -= 1
          C += 1
          continue
    elif A >= B:
      A -= 1
      B += 1
      ans.append('B')
      continue
    else:
      B -= 1
      A += 1
      ans.append('A')
      continue
  elif s == 'BC':
    if B == C == 1:
      cnt += 1
      if cnt > N:
        ans.append('B')
        break
      else:
        s = input()
        if s == 'BC':
          ans.append('B')
          ans.append('C')
          continue
        elif s == 'AB':
          ans.append('B')
          ans.append('A')
          B -= 1
          A += 1
          continue
        else:
          ans.append('C')
          ans.append('A')
          C -= 1
          A += 1
          continue
    elif B >= C:
      B -= 1
      C += 1
      ans.append('C')
      continue
    else:
      C -= 1
      B += 1
      ans.append('B')
      continue 
  else:
    if C == A == 1:
      cnt += 1
      if cnt > N:
        ans.append('C')
        break
      else:
        s = input()
        if s == 'AC':
          ans.append('C')
          ans.append('A')
          continue
        elif s == 'BC':
          ans.append('C')
          ans.append('B')
          A -= 1
          B += 1
          continue
        else:
          ans.append('A')
          ans.append('B')
          C -= 1
          B += 1
          continue
    elif A >= C:
      A -= 1
      C += 1
      ans.append('C')
      continue
    else:
      C -= 1
      A += 1
      ans.append('A')
      continue
if flag:
  print('Yes')
  for item in ans:
    print(item)
else:
  print('No')


Fixed submission:
r = int(input())
print(r**2)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
A = list(map(int, input().split()))
from heapq import heapify, heappop, heappush
dis = []
for k in range(N):
  dis.append((-(A[k]-A[k]//2), k, 0))
heapify(dis)
while M:
  M -= 1
  item = heappop(dis)
  index = item[1]
  cnt = item[2] + 1
  discount = A[index]//pow(2, cnt) - A[index]//pow(2, cnt+1)
  heappush(dis, (-discount, index, cnt))

ans = 0
while dis:
  item = dis.pop()
  ans += A[item[1]]//pow(2, item[2])

print(ans)


Fixed submission:
N, M = map(int, input().split())
A = list(map(int, input().split()))
from heapq import heapify, heappop, heappush
dis = []
for k in range(N):
  dis.append((-(A[k]-A[k]//2), k, 0))
heapify(dis)
while M:
  M -= 1
  item = heappop(dis)
  index = item[1]
  cnt = item[2] + 1
  discount = A[index]//pow(2, cnt) - A[index]//pow(2, cnt+1)
  heappush(dis, (-discount, index, cnt))

ans = 0
while dis:
  item = dis.pop()
  ans += A[item[1]]//pow(2, item[2])

print(ans)
Buggy python submission (verdict: Runtime Error):
A, B = map(int,input(.split()))
print((A+B)%24)

Fixed submission:
A, B = map(int,input().split())
print((A+B)%24)
Buggy python submission (verdict: Time Limit Exceeded):
X=int(input())
count=0
x=[[0]]
for k in range(0,1000000):
    if X in x[k]:
        print(k)
        break
    x.append(list(set(x[k])))
    for j in range(len(x[k])):
        x[k+1].append(x[k][j]+k+1)
        x[k+1].append(x[k][j]-k-1)
    x[k+1]=list(set(x[k+1]))


Fixed submission:
X=int(input())
N=int(-0.5+(0.25+2*X)**0.5)

for k in range(N+2):
    if 0.5*N*(N-1)<X<=0.5*N*(N+1):
        print(N)
        break
    N+=1

'''
count=0
x=[[0]]
for k in range(0,1000000):
    if X in x[k]:
        print(k)
        break
    x.append(list(set(x[k])))
    for j in range(len(x[k])):
        x[k+1].append(x[k][j]+k+1)
        x[k+1].append(x[k][j]-k-1)
    x[k+1]=list(set(x[k+1]))
'''
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
A.sort()
for k in range(N-1):
    if A[k]==A[k+1] and A[k]!=0:
        for j in range(N-1,k+1,-1):
            if A[j]==A[j-1] and A[j]!=0:
                A[j]=0
                A[k]=0
                break
count=0
dcount=0
for k in range(len(A)):
    if A[k]!=0:
        count+=1
for k in range(len(A)-1):
    if A[k]==A[k+1] and A[k]!=0:
        dcount+=2
print(count-dcount)

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
A.sort()
M=N
for k in range(N-1):
    if A[k]==A[k+1] and A[k]!=0:
        for j in range(M-1,k+1,-1):
            if A[j]==A[j-1] and A[j]!=0:
                A[j]=0
                A[k]=0
                M=j
                break
count=0
dcount=0
for k in range(len(A)):
    if A[k]!=0:
        count+=1
for k in range(len(A)-1):
    if A[k]==A[k+1] and A[k]!=0:
        dcount+=2
print(count-dcount)
Buggy python submission (verdict: Runtime Error):
mod=10**9+7
N=int(input())
M=1
y=[1 for k in range(N)]
for k in range(2,N+1):
    for j in range(2,k+1):
        if k=1:
            break
        if k%j ==0:
            count=0
            while k%j==0:
                k=k//j
                count+=1
            y[j-1]+=count
ans=1
for k in range(len(y)):
    ans=ans*y[k]%mod
print(ans)

Fixed submission:
mod=10**9+7
N=int(input())
M=1
y=[1 for k in range(N)]
for k in range(2,N+1):
    for j in range(2,k+1):
        if k%j ==0:
            count=0
            while k%j==0:
                k=k//j
                count+=1
            y[j-1]+=count
ans=1
for k in range(len(y)):
    ans=ans*y[k]%mod
print(ans)