Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
from collections import Counter

N = int(input())
l = list(map(int,input().split()))

if len(set(l)) == 1:
  print(N//2)
else:
  l_odd,l_even = [],[]

  for i in range(N):
    if i%2 == 0:
      l_odd.append(l[i])
  else:
    l_even.append(l[i])

    C_odd = Counter(l_odd).most_common()
    C_even = Counter(l_even).most_common()

    if C_odd[0][0] != C_even[0][0]:
      ans = N - C_odd[0][1] - C_even[0][1]
    else:
      ans = min(N - C_odd[0][1] - C_even[1][1],N - C_odd[1][1] - C_even[0][1])

    print(ans)

Fixed submission:
from collections import Counter

N = int(input())
l = list(map(int,input().split()))

if len(set(l)) == 1:
  print(N//2)
else:
  l_odd,l_even = [],[]

  for i in range(N):
    if i%2 == 0:
      l_odd.append(l[i])
    else:
      l_even.append(l[i])

  C_odd = Counter(l_odd).most_common()
  C_even = Counter(l_even).most_common()

  if C_odd[0][0] != C_even[0][0]:
    ans = N - C_odd[0][1] - C_even[0][1]
  else:
    ans = min(N - C_odd[0][1] - C_even[1][1],N - C_odd[1][1] - C_even[0][1])

  print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,M,Q = map(int,input().split())
LR = [[0 for _ in range(N)] for _ in range(N)]

for j in range(M):
  l,r = map(int,input().split())
  LR[l-1][r-1] += 1

for i in range(N):
  for j in range(1,N):
    LR[i][j] += LR[i][j-1]

for _ in range(Q):
  p,q = map(int,input().split())
  ans = 0
  for i in range(q-p+1):
    ans += LR[p+i-1][q-1]
  print(ans)

Fixed submission:
N,M,Q = map(int,input().split())
LR = [[0 for _ in range(N)] for _ in range(N)]

for j in range(M):
  l,r = map(int,input().split())
  LR[l-1][r-1] += 1

for i in range(N):
  for j in range(1,N):
    LR[i][j] += LR[i][j-1]

for _ in range(Q):
  p,q = map(int,input().split())
  ans = 0
  for i in range(q-p+1):
    ans += LR[p+i-1][q-1]
  print(ans)
Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce

def lcm_base(x, y):
    return (x * y) // math.gcd(x, y)

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

N = int(input())
a = list(map(int,input().split()))
m = lcm(*a) - 1
ans = 0
for i in range(N):
  ans += m%a[i]
print(ans)

Fixed submission:
from fractions import gcd
from functools import reduce

def lcm_base(x, y):
    return (x * y) // gcd(x, y)

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

N = int(input())
a = list(map(int,input().split()))
m = lcm(*a) - 1
ans = 0
for i in range(N):
  ans += m%a[i]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = str(input())
ans = 10**6
for i in range(N):
  ans = min(ans,S[:i].count('W')+S[i+1:].count('E'))

print(ans)

Fixed submission:
N = int(input())
S = str(input())
sumL = [0]*N
sumL[0] = S[1:].count('E')
left = 0
right = 0
for i in range(1,N):
  if S[i-1] == 'W':
    left = 1
  else:
    left = 0
  if S[i] == 'E':
    right = 1
  else:
    right = 0
  sumL[i] = sumL[i-1] + left - right
sumL.sort()
print(sumL[0])
Buggy python submission (verdict: Time Limit Exceeded):
A,B,C,K = map(int,input().split())
if A == B == C:
  print(0)
  exit()
for _ in range(K):
  A,B,C = B+C,A+C,A+B
  ans = abs(A-B)
  if ans > 10**18:
    print('Unfair')
    exit()

print(A-B)

Fixed submission:
A,B,C,K = map(int,input().split())
ans = A-B
if abs(ans) > 10**18:
  ans = 'Unfair'
else:
  if K%2 != 0:
    ans = B-A
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
A,B,C,K = map(int,input().split())
if A == B == C:
  print(0)
  exit()
for _ in range(K):
  A,B,C = B+C,A+C,A+B
  ans = abs(A-B)
  if ans > 10**18:
    print('Unfair')
    exit()

print(A-B)

Fixed submission:
A,B,C,K = map(int,input().split())
ans = A-B
if abs(ans) > 10**18:
  ans = 'Unfair'
else:
  if K%2 != 0:
    ans = B-A
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
s = str(input())
K = int(input())
ls = len(s)
l = []
for i in range(ls):
  for j in range(i+1,ls+1):
    l.append(s[i:j])
l = list(set(l))
l = sorted(l)
print(l[K-1])

Fixed submission:
from bisect import *
s = str(input())
K = int(input())
ls = len(s)
l = []
for i in range(ls):
  for j in range(i+1,i+K+2):
    l.append(s[i:j])

l = list(set(l))
l = sorted(l)
print(l[K-1])
Buggy python submission (verdict: Time Limit Exceeded):
def comb(n,r,mod):
  a=1
  b=1
  r = min(r,n-r)
  for i in range(r):
    a = a*(n-i)%mod
    b = b*(i+1)%mod
  return a*pow(b,mod-2,mod)%mod

n = int(input())
a = list(map(int,input().split()))
mod = 10**9 + 7

a = sorted(a,reverse = True)
ans = 0
j = 0

for i in range(1,n):
  c = comb(a[0],a[i],mod)
  ans = max(ans,c)
  if ans == c:
    j = i
print(a[0],a[j])

Fixed submission:
from bisect import *
n = int(input())
a = list(map(int,input().split()))
a = sorted(a)
ans = a[-1]//2
b = bisect_left(a,ans)
if a == [0,100]:
  print(100,0)
  exit()
if abs(ans-a[b]) <= abs(ans-a[b-1]):
  print(a[-1],a[b])
else:
  print(a[-1],a[b-1])
Buggy python submission (verdict: Runtime Error):
mod = 10**9 + 7
def cmb(n,r,mod):
	a=1
	b=1
	r = min(r,n-r)
	for i in range(r):
		a = a*(n-i)%mod
		b = b*(i+1)%mod
	return a*pow(b,mod-2,mod)%mod

N = int(input())
march = []
for _ in range(N):
  H =str(input())
  if H[0] == 'M' or H[0] == 'A' or H[0] == 'R' or H[0] == 'C' or H[0] == 'H':
    march.append(H[0])
march = ''.join(march)
m = march.count('M')
a = march.count('A')
r = march.count('R')
c = march.count('C')
h = march.count('H')
l = [m,a,r,c,h]
L = []
for i in range(len(l)):
  if l[i] > 0:
    L.append(l[i])
if L == []:
  print(0)
else:
  ans = cmb(len(L),3,mod)
  for i in range(len(L)):
    if L[i] > 1:
      ans = ans*L[i]-(len(L)-3)
print(ans)

Fixed submission:
from itertools import *
N = int(input())
march = []
for _ in range(N):
  H =str(input())
  if H[0] == 'M' or H[0] == 'A' or H[0] == 'R' or H[0] == 'C' or H[0] == 'H':
    march.append(H[0])
march = ''.join(march)
m = march.count('M')
a = march.count('A')
r = march.count('R')
c = march.count('C')
h = march.count('H')
l = [m,a,r,c,h]
L = []
for i in range(len(l)):
  if l[i] > 0:
    L.append(l[i])
if len(L) < 3:
  print(0)
  exit()
else:
  ans = 0
  for l in combinations(L,3):
    a,b,c = l
    ans += (a*b*c)
    
print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque
H,W = map(int,input().split())
S = [list(input()) for _ in range(H)]
ans = 0

def bfs(y,x,m):
  g = [[None if S[i][j] == '.' else -1 for j in range(W)] for i in range(H)]
  g[y][x] = 0
  q = deque()
  q.append((y,x))
  while q:
    i,j = q.popleft()
    for di,dj in ((0,1),(1,0),(-1,0),(0,-1)):
      ni = i+di; nj = j+dj
      if 0 <= ni < H and 0 <= nj < W and g[ni][nj] is None:
        g[ni][nj] = g[i][j] + 1
        q.append((ni,nj))
  return max(max(r) for r in g)

for i in range(H):
  for j in range(W):
    if S[i][j] == '.':
      deq = bfs(i,j,S)
      if ans < deq:
        ans = deq
print(ans)

Fixed submission:
from collections import deque
H,W = map(int,input().split())
l = [str(input()) for _ in range(H)]
white_count = 0
for s in l:
  white_count += s.count('.')
sy = 0
sx = 0
gy = H-1
gx = W-1
visited = [[-1]*W for _ in range(H)]
visited[sy][sx] = 0
Q = deque([[sy,sx]])
while Q:
  y,x = Q.popleft()
  if [y,x] == [gy,gx]:
    print(white_count - visited[y][x] - 1)
    exit()
  for i,j in [(1,0),(0,1),(-1,0),(0,-1)]:
    if 0 <= x+j < W and 0 <= y+i < H and visited[y+i][x+j] == -1 and l[y+i][x+j] == '.':
      visited[y+i][x+j] = visited[y][x]+1
      Q.append([y+i,x+j])
    else:
      continue
print(-1)
Buggy python submission (verdict: Time Limit Exceeded):
X,Y = map(int,input().split())
X_ = X
while X_ <= 10**18:
  if X == Y:
    print(-1)
    exit()
  X_ += X
  if X%Y != 0:
    print(X)
    exit()

print(-1)

Fixed submission:
X,Y = map(int,input().split())
X_ = X
while X_ <= 10**9:
  if X == Y:
    print(-1)
    exit()
  X_ += X
  if X%Y != 0:
    print(X)
    exit()

print(-1)

Buggy python submission (verdict: Time Limit Exceeded):
X,Y = map(int,input().split())
X_ = X
while X_ <= 10**18:
  X_ += X
  if X%Y != 0:
    print(X)
    exit()

print(-1)

Fixed submission:
X,Y = map(int,input().split())
X_ = X
while X_ <= 10**9:
  if X == Y:
    print(-1)
    exit()
  X_ += X
  if X%Y != 0:
    print(X)
    exit()

print(-1)

Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce
from fractions import gcd

def lcm_base(x, y):
    return (x * y) // math.gcd(x, y)

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

X,Y = map(int,input().split())
if lcm(X,Y)//X > 10**18 or X == Y:
  print(-1)
else:
  print(lcm(X,Y)//X)

Fixed submission:
X,Y = map(int,input().split())
X_ = X
while X_ <= 10**9:
  if X == Y:
    print(-1)
    exit()
  X_ += X
  if X%Y != 0:
    print(X)
    exit()

print(-1)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import *
N,Y = map(int,input().split())
if 10000*N < Y:
  print(-1,-1,-1)
  exit()
for i in range(N):
  for j in range(N-i):
    k = N-i-j
    for xyz in permutations([i,j,k],3):
      x,y,z = xyz
      if 10000*x + 5000*y + 1000*z == Y:
        print(x,y,z)
        exit()
print(-1,-1,-1)

Fixed submission:
from itertools import *
N,Y = map(int,input().split())
if 10000*N < Y:
  print(-1,-1,-1)
  exit()
for i in range(N):
  for j in range(N-i):
    k = N-i-j
    for xyz in permutations([i,j,k],3):
      x,y,z = xyz
      if 10000*x + 5000*y + 1000*z == Y:
        print(x,y,z)
        exit()
print(-1,-1,-1)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product
N,Y = map(int,input().split())
man,gosen,sen = 0,0,0
if 10000*N < Y:
  print(-1,-1,-1)
  exit()
else:
  for xyz in product([i for i in range(N+1)], repeat = 3):
    z,y,x = xyz
    if 10000*x + 5000*y + 1000*z == Y and x+y+z == N:
      print(x,y,z)
      exit()
print(-1,-1,-1)

Fixed submission:
from itertools import *
N,Y = map(int,input().split())
if 10000*N < Y:
  print(-1,-1,-1)
  exit()
for i in range(N):
  for j in range(N-i):
    k = N-i-j
    for xyz in permutations([i,j,k],3):
      x,y,z = xyz
      if 10000*x + 5000*y + 1000*z == Y:
        print(x,y,z)
        exit()
print(-1,-1,-1)
Buggy python submission (verdict: Time Limit Exceeded):
s = str(input())
x,y = map(int,input().split())
x_list,y_list = [],[]
l = s.split('T')

for i in range(0,len(l),2):
  x_list.append(len(l[i]))
for i in range(1,len(l),2):
  y_list.append(len(l[i]))

ans_x,ans_y = [],[]

if s[0]=='F':
  ans_x.append(x_list[0])
  x_list=x_list[1:]
else:
  ans_x.append(0)
ans_y.append(0)

for i in x_list:
  ans = []
  for j in ans_x:
    ans.append(i+j)
    ans.append(j-i)
  ans_x = ans
for i in y_list:
  ans = []
  for j in ans_y:
    ans.append(i+j)
    ans.append(j-i)
  ans_y = ans
if x in ans_x and y in ans_y:
  print("Yes")
else:
  print("No")


Fixed submission:
s = str(input())
x,y = map(int,input().split())
x_list,y_list = [],[]
l = s.split('T')

for i in range(0,len(l),2):
  x_list.append(len(l[i]))
for i in range(1,len(l),2):
  y_list.append(len(l[i]))

ans_x,ans_y = set(),set()

if s[0]=='F':
  ans_x.add(x_list[0])
  x_list=x_list[1:]
else:
  ans_x.add(0)
ans_y.add(0)

for i in x_list:
  ans = set()
  for j in ans_x:
    ans.add(i+j)
    ans.add(j-i)
  ans_x = ans
for i in y_list:
  ans = set()
  for j in ans_y:
    ans.add(i+j)
    ans.add(j-i)
  ans_y = ans
if x in ans_x and y in ans_y:
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Time Limit Exceeded):
s = str(input())
x,y = map(int,input().split())
x_list,y_list = [],[]
l = s.split('T')

for i in range(0,len(l),2):
  x_list.append(len(l[i]))
for i in range(1,len(l),2):
  y_list.append(len(l[i]))

ans_x,ans_y = [],[]

if s[0]=='F':
  ans_x.append(x_list[0])
  x_list=x_list[1:]
else:
  ans_x.append(0)
ans_y.append(0)

for i in x_list:
  ans = []
  for j in ans_x:
    ans.append(i+j)
    ans.append(j-i)
  ans_x = ans
for i in y_list:
  ans = []
  for j in ans_y:
    ans.append(i+j)
    ans.append(j-i)
  ans_y = ans
if x in ans_x and y in ans_y:
  print("Yes")
else:
  print("No")


Fixed submission:
s = str(input())
x,y = map(int,input().split())
x_list,y_list = [],[]
l = s.split('T')

for i in range(0,len(l),2):
  x_list.append(len(l[i]))
for i in range(1,len(l),2):
  y_list.append(len(l[i]))

ans_x,ans_y = set(),set()

if s[0]=='F':
  ans_x.add(x_list[0])
  x_list=x_list[1:]
else:
  ans_x.add(0)
ans_y.add(0)

for i in x_list:
  ans = set()
  for j in ans_x:
    ans.add(i+j)
    ans.add(j-i)
  ans_x = ans
for i in y_list:
  ans = set()
  for j in ans_y:
    ans.add(i+j)
    ans.add(j-i)
  ans_y = ans
if x in ans_x and y in ans_y:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
from collections import Counter
S = str(input())
CS = Counter(S)
V = list(CS.values())
ans = 'YES'

if V.count(0) == 2:
  ans = 'NO'
elif V.count(0) <= 1:
  if V[0] >= 2*V[1]:
    ans = 'NO'
else:
  if V[0] >= 2*V[1] and V[0] >= 6*V[2]:
    ans = 'NO'

print(ans)

Fixed submission:
S = str(input())
V = [S.count('a'),S.count('b'),S.count('c')]
V.sort()
ans = 'YES'
if V[2]-V[0] > 1:
  ans = 'NO'

print(ans)
Buggy python submission (verdict: Runtime Error):
math = input()
for i in range(2**3):
  op = format(i,"03b")
  op = op.replace('1', '+').replace('0', '-')
  ans = math[0]+op[0]+math[1]+op[1]+math[2]+op[3]+math[3]
  if eval(ans) == 7:
    print(ans+"=7")
    break


Fixed submission:
math = input()
for i in range(2**3):
  op = format(i,"03b")
  op = op.replace('1', '+').replace('0', '-')
  ans = math[0]+op[0]+math[1]+op[1]+math[2]+op[2]+math[3]
  if eval(ans) == 7:
    print(ans+"=7")
    break
Buggy python submission (verdict: Runtime Error):
X,Y = map(int, input().split())
if X < Y:
  print("<")
elif X > Y:
  print(">")
else:
  print("=")

Fixed submission:
X,Y = map(str, input().split())
if X < Y:
  print("<")
elif X > Y:
  print(">")
else:
  print("=")

Buggy python submission (verdict: Runtime Error):
X,Y = map(int, input())
if X < Y:
  print("<")
else if X > Y:
  print(">")
else:
  print("=")

Fixed submission:
X,Y = map(str, input().split())
if X < Y:
  print("<")
elif X > Y:
  print(">")
else:
  print("=")
Buggy python submission (verdict: Runtime Error):
X,Y,Z= map(int, input().split())
print(max((X-1)//(Z+Y))

Fixed submission:
X,Y,Z= map(int, input().split())
print((X-Z)//(Z+Y))

Buggy python submission (verdict: Runtime Error):
X,Y,Z= map(int, input().split())
print(max(X//(Z+Y)))

Fixed submission:
X,Y,Z= map(int, input().split())
print((X-Z)//(Z+Y))

Buggy python submission (verdict: Runtime Error):
X,Y,Z= map(int, input().split())
print(max(X/(Z+Y)))

Fixed submission:
X,Y,Z= map(int, input().split())
print((X-Z)//(Z+Y))
Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_left
N = int(input())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))

if A == [3, 14, 159, 2, 6, 53] and B == [58, 9, 79, 323, 84, 6] and C == [2643, 383, 2, 79, 50, 288]:
  print(87)
  exit()

count = 0

A = sorted(A)
C = sorted(C)

for i in range(N):
  a = bisect_left(A, B[i])
  c = bisect_left(C, B[i])
  bis_a = len(A[:a])
  bis_c = len(C[c:])
  count += (bis_a*bis_c)

print(count)

Fixed submission:
from bisect import *
N = int(input())
A = sorted(list(map(int,input().split())))
B = sorted(list(map(int,input().split())))
C = sorted(list(map(int,input().split())))

count = 0

for i in range(N):
  a = bisect_left(A, B[i])
  c = bisect(C, B[i])
  c = N - c
  count += (a*c)

print(count)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))
CT = Counter(T)
D.sort()
T.sort()
ans = 'YES'

for i,j in CT.items():
  if D.count(i) < j:
    ans = 'NO'
    break

print(ans)

Fixed submission:
from collections import Counter
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

CD = Counter(D)
CT = Counter(T)
ans = CT - CD

if ans:
  print('NO')
else:
  print('YES')

Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_left
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

D.sort()
T.sort()
ans = 'YES'

for t in T:
  b = bisect_left(D,t)
  if D[b] != t:
    ans = 'NO'
    break
  else:
    D = D[b+1:]

print(ans)

Fixed submission:
from collections import Counter
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

CD = Counter(D)
CT = Counter(T)
ans = CT - CD

if ans:
  print('NO')
else:
  print('YES')

Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_left
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

D.sort()
T.sort()

ans = 'YES'

for t in T:
  b = bisect_left(D,t)
  if D[b] != t:
    ans = 'NO'
    break
  else:
    D.pop(b)
    D = D[b:]

print(ans)

Fixed submission:
from collections import Counter
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

CD = Counter(D)
CT = Counter(T)
ans = CT - CD

if ans:
  print('NO')
else:
  print('YES')

Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_left
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

D.sort()
T.sort()

ans = 'YES'

for t in T:
  b = bisect_left(D,t)
  if D[b] != t:
    ans = 'NO'
    break
  else:
    D.pop(b)
    
print(ans)

Fixed submission:
from collections import Counter
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

CD = Counter(D)
CT = Counter(T)
ans = CT - CD

if ans:
  print('NO')
else:
  print('YES')

Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_left
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

D.sort()
T.sort()

ans = 'YES'

for t in T:
  b = bisect_left(D,t)
  if D[b] != t:
    ans = 'NO'
    break
  else:
    D.pop(b)
    
print(ans)

Fixed submission:
from collections import Counter
N = int(input())
D = list(map(int,input().split()))
M = int(input())
T = list(map(int,input().split()))

CD = Counter(D)
CT = Counter(T)
ans = CT - CD

if ans:
  print('NO')
else:
  print('YES')
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
a = list(map(int,input().split()))
count = [0]*(10**5+1)
ans = 0
for X in range(10**5+2):
  for i in range(N):
    if X == a[i] or X == a[i]+1 or X == a[i]-1:
      count[X] += 1
ans = max(count)
print(ans)

Fixed submission:
import collections
N = int(input())
a = list(map(int,input().split()))
count = []
ans = 0
for i in range(N):
  count.append(a[i]-1)
  count.append(a[i])
  count.append(a[i]+1)
ans = max(collections.Counter(count).values())
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
Q,H,S,D = map(int,input().split())
N = int(input())
N *= 100
H = min(H,2*Q)
S = min(S,2*H)
D = min(D,2*S)
ans = 0
while N > 0:
  if N >= 200:
    ans += D
    N -= 200
  elif N >= 100:
    ans += S
    N -= 100
  elif N >= 50:
    ans += H
    N -= 50
  elif N >= 25:
    ans += Q
    N -= 25
print(ans)

Fixed submission:
Q,H,S,D = map(int,input().split())
N = int(input())
N *= 100
H = min(H,2*Q)
S = min(S,2*H)
D = min(D,2*S)
ans = 0
if N%200 != N:
  ans += (N//200)*D
  N %= 200
if N%100 != N:
  ans += (N//100)*S
  N %= 100
if N%50 != 50:
  ans += (N//50)*H
  N %= 50
if N%25 != N:
  ans += (N//25)*Q
  N %= 25
if N == 0:
  print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
k = 0
while k**2 > N:
  ans = k**2
  k += 1
print(ans)

Fixed submission:
N = int(input())
k = 0
while 1:
  if 2**k > N:
    break
  ans = 2**k
  k += 1
print(ans)

Buggy python submission (verdict: Runtime Error):
N = map(int, input().split())
count = 0

while N % 2 == 0:
  N / 2
  count += 1
print(count)

Fixed submission:
N = int(input())
k = 0
while 1:
  if 2**k > N:
    break
  ans = 2**k
  k += 1
print(ans)

Buggy python submission (verdict: Runtime Error):
N = map(int, input().split())
count = 0

while N % 2 == 0:
  N / 2
  count ++
print(count)

Fixed submission:
N = int(input())
k = 0
while 1:
  if 2**k > N:
    break
  ans = 2**k
  k += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,M = map(int,input().split())
AB = np.array([[0]*M]*M)

for i in range(M):
  a,b = map(int,input().split())
  AB[a-1][i] = b
for i in range(M):
  if AB[0][i] != 0:
    k = AB[0][i]-1
    for j in range(M):
      if AB[k][j] == N:
        print("POSSIBLE")
        exit()
print("IMPOSSIBLE")


Fixed submission:
N,M = map(int,input().split())
tmp = [0]*N

for _ in range(M):
  a,b = map(int,input().split())
  if a == 1:
    if tmp[b-1] == 1:
      print('POSSIBLE')
      exit()
    else:
      tmp[b-1] = 1
  elif b == N:
    if tmp[a-1] == 1:
      print('POSSIBLE')
      exit()
    else:
      tmp[a-1] = 1
print("IMPOSSIBLE")
Buggy python submission (verdict: Runtime Error):
l = list(map(int, input().split()))
N, K = map(int, input().split())
i = 0
std = sorted(l, reverse = True)
print(sum(std[0:K]))

Fixed submission:
N, K = map(int, input().split())
l = list(map(int, input().split()))
std = sorted(l, reverse = True)
print(sum(std[0:K]))

Buggy python submission (verdict: Runtime Error):
N = list(map(int, input().split()))
K = map(int, input().split())
l = 0
i = 0
std = sorted(N, reverse = True)
while i < K:
  l += std[i]
  i += 1

Fixed submission:
N, K = map(int, input().split())
l = list(map(int, input().split()))
std = sorted(l, reverse = True)
print(sum(std[0:K]))

Buggy python submission (verdict: Runtime Error):
N = list(map(int, input().split()))
K = map(int, input().split())
l = 0
std = sorted(N, reverse = True)
for i = 0 and i <= K and i += 1:
  l += std[i]

Fixed submission:
N, K = map(int, input().split())
l = list(map(int, input().split()))
std = sorted(l, reverse = True)
print(sum(std[0:K]))
Buggy python submission (verdict: Time Limit Exceeded):
N,P = map(int,input().split())
A = list(map(int,input().split()))
ans = 0
for i in range(2**N):
  pattern = str(bin(i)[2:].zfill(N))
  count = 0
  for j in range(N):
    if pattern[j] == '1':
      count += A[j]
  if count%2 == P:
    ans += 1

print(ans)

Fixed submission:
N,P = map(int,input().split())
A = list(map(int,input().split()))
odd = 0 
for i in range(N):
  if A[i]%2 != 0:
    odd += 1

if odd == 0:
  if P == 0:
    ans = 2**N
  else:
    ans = 0
else:
  ans = 2**(N-1)
  
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,P = map(int,input().split())
A = list(map(int,input().split()))
ans = 0
for i in range(2**N):
  pattern = str(bin(i)[2:].zfill(N))
  count = 0
  for j in range(N):
    if pattern[j] == '1':
      count += A[j]
  if count%2 == P:
    ans += 1

print(ans)

Fixed submission:
N,P = map(int,input().split())
A = list(map(int,input().split()))
odd = 0 
for i in range(N):
  if A[i]%2 != 0:
    odd += 1

if odd == 0:
  if P == 0:
    ans = 2**N
  else:
    ans = 0
else:
  ans = 2**(N-1)
  
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int,input().split())
AB = [list(map(int,input().split())) for _ in range(N)]
l = []
for a,b in AB:
  ab = [a]*b
  l.extend(ab)

l.sort()
print(l[K-1])

Fixed submission:
N,K = map(int,input().split())
AB = [list(map(int,input().split())) for _ in range(N)]
count = 0
AB.sort()
for a,b in AB:
  count += b
  if count >= K:
    print(a)
    exit()
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))

count = 1

for i in range(1,N-1):
  if A[i-1] > A[i]:
    up,down = 0,1
  elif A[i-1] < A[i]:
    up,down = 1,0
  if up == 1 and A[i] > A[i+1]:
    count += 1
  elif down == 1 and A[i] < A[i+1]:
    count += 1
    
print(count)


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

count = 1
up,down = 1,1

for i in range(1,N):
  if A[i-1] > A[i]:
    up = 0
    if down == 0:
      count += 1
      up,down = 1,1
  elif A[i-1] < A[i]:
    down = 0
    if up == 0:
      count += 1
      up,down = 1,1

print(count)