Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
H, N = map(int, input().split())
A = list(map(int, input().split()))

for i in A:
    H -= i

if H > 0:
    print('No')
else
    print('Yes')

Fixed submission:
H, N = map(int, input().split())
A = (map(int, input().split()))
for i in A:
    H -= i
 
if H > 0:
    print('No')
else:
    print('Yes')
Buggy python submission (verdict: Runtime Error):
N, K = input().split()
P = input().split()
P.sort(reverse=True)
sum = 0
for k in range(int(K)):
  p = int(P[k])
  sum += (p / 2) + 0.5
print(sum)


Fixed submission:
S, T = input().split()
A, B = input().split()
U = input()

ans1 = int(A)
ans2 = int(B)
if S == U:
  ans1 = ans1 - 1
if T == U:
  ans2 = ans2 - 1

print(ans1, ans2)
Buggy python submission (verdict: Runtime Error):
N, K = input().split()
P = input().split()
max_sum = 0
for i in range(int(N)-int(K) + 1):
  sum = 0
  for k in range(i, i + int(K)):
    print(k)
    p = int(P[k])
    sum += (p / 2) + 0.5
    if max_sum < sum:
      max_sum = sum
print(float(max_sum))


Fixed submission:
N = input()
A = input().split()
a = []
for s in A:
	a.append(int(s))
if len(set(a)) == len(a):
  print('YES')
else:
  print('NO')
Buggy python submission (verdict: Time Limit Exceeded):
N, K = input().split()
P = input().split()
max_sum = 0
for i in range(int(N)-int(K) + 1):
  sum = 0
  for k in range(i, i + int(K)):
    p = int(P[k])
    sum += (p / 2) + 0.5
    if max_sum < sum:
      max_sum = sum
print(float(max_sum))


Fixed submission:
N, K = input().split()
P = input().split()
K = int(K)

S = []
count = 0
max_sum = 0
for p in P:
    e = (int(p) + 1) / 2
    if count == 0:
        S.append(e)
    else:
        S.append(S[count-1] + e)
    if count == (K - 1):
        max_sum = S[count]
    elif count > (K - 1):
        sum = S[count] - S[count - K]
        if max_sum < sum:
            max_sum = sum
    count += 1
print(max_sum)

Buggy python submission (verdict: Time Limit Exceeded):
N, K = input().split()
P = input().split()
max_sum = 0
for i in range(int(N)-int(K) + 1):
  sum = 0
  for k in range(i, i + int(K)):
    p = int(P[k])
    sum += (p / 2) + 0.5
    if max_sum < sum:
      max_sum = sum
print(float(max_sum))


Fixed submission:
N, K = input().split()
P = input().split()
K = int(K)

S = []
count = 0
max_sum = 0
for p in P:
    e = (int(p) + 1) / 2
    if count == 0:
        S.append(e)
    else:
        S.append(S[count-1] + e)
    if count == (K - 1):
        max_sum = S[count]
    elif count > (K - 1):
        sum = S[count] - S[count - K]
        if max_sum < sum:
            max_sum = sum
    count += 1
print(max_sum)
Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split(' '))
#K進数で表そう
l = []
while N >= K:
    a = N % K
    N = N // K
    l.append(a)


print(len(l) + 1)

Fixed submission:
N, R = map(int, input().split(' '))
if N < 10:
    L =  R+100*(10-N)
    print('{}'.format(L))

else:
    print('{}'.format(R))

Buggy python submission (verdict: Runtime Error):
N, R = map(int, input().split(' '))
if N < 9:
    L =  R+100*(10-N)
    print('{}'format(L))

else:
    print('{}'.format(R))


Fixed submission:
N, R = map(int, input().split(' '))
if N < 10:
    L =  R+100*(10-N)
    print('{}'.format(L))

else:
    print('{}'.format(R))
Buggy python submission (verdict: Runtime Error):
N = int(input())
D = list(map(int, input().split()))
count = [0] * (N)
ans = 1
if (D[0] != 0):
    print(0)
    exit()
for d in D:
    count[d] += 1
for i in range(1, N):
    ans *= (count[i] ** count[i + 1]) % 998244353

print(ans % 998244353)


Fixed submission:
# N = int(input())
# D = list(map(int, input().split()))
# count = [0] * N
# ans = 1
# if (D[0] != 0 or count[0] >= 2):
#     print(0)
#     exit()
# for d in D:
#     count[d] += 1
# for i in range(N):
#     if (i > 0):
#         ans *= (count[i - 1] ** count[i]) % 998244353
#         ans %= 998244353

# print(ans)


# from collections import Counter
N = int(input())
D = list(map(int, input().split()))
MOD = 998244353

# 厳密にはmax(D)+1の長さがあれば正常系は通るが、余分に取っておく
count = [0] * N
for d in D:
    count[d] += 1

def calc():
    if D[0] != 0 or count[0] >= 2:
        return 0
    ret = 1
    for i in range(N):
        if i > 0:
            ret *= (count[i-1] ** count[i]) % MOD
            ret %= MOD
    return ret


print(calc())
Buggy python submission (verdict: Runtime Error):
N = int(input())
for i in range(1, N + 1):
  	if (N % i == 0):
    	N = N // i
        break
else:
  print('No')
  exit()

for i in range(1, N + 1):
  if (N % i == 0):
    print('Yes')
    exit()
else:
  print('No')
  exit()

Fixed submission:
N = int(input())
for i in range(1, 10):
  for j in range(1, 10):
    if (i * j == N):
      print('Yes')
      exit()
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
N = int(input())
fac = []
for i in range(1, N**(1/2) + 1):
  if (N % i == 0 and N // i <= i):
    print(N // i + i - 2)
    exit()

Fixed submission:
N = int(input())
i = 1
ans = N
while (i ** 2 <= N):
  if (N % i == 0):
    ans = min(ans, N // i + i - 2)
  i += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
fac = []
for i in range(1, N**(1/2) + 1):
  if (N % i == 0 and N // i <= i):
    print(N // i + i - 2)
    exit()

Fixed submission:
N = int(input())
i = 1
ans = N
while (i ** 2 <= N):
  if (N % i == 0):
    ans = min(ans, N // i + i - 2)
  i += 1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
fac = []
for i in range(1, N + 1):
  if (N % i == 0 and N // i <= i):
    print(N // i + i - 2)
    exit()

Fixed submission:
N = int(input())
i = 1
ans = N
while (i ** 2 <= N):
  if (N % i == 0):
    ans = min(ans, N // i + i - 2)
  i += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline
W, H, x, y = map(int, input().split())
S = W * H * 0.5
if (y/x == H/W):
  print(S, 1)
else:
  print(S, 0)

Fixed submission:
import sys
input = sys.stdin.readline
W, H, x, y = map(int, input().split())
S = W * H * 0.5
if (x != 0 and y/x == H/W and W % 2 == 0):
  print(S, 1)
else:
  print(S, 0)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
L = [None] * M
R = [None] * M

ans = [0] * (N + 1)

for i in range(M):
  L[i], R[i] = map(int, input().split())

for i in range(M):
  for j in range(L[i], R[i] + 1):
    ans[j] += 1


print(ans.count(M))


Fixed submission:
N, M = map(int, input().split())
L = [None] * M
R = [None] * M

for i in range(M):
  L[i], R[i] = map(int, input().split())

ans = list(range(max(L), min(R) + 1))


print(len(ans))
Buggy python submission (verdict: Runtime Error):
import sys
import numpy as np
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
sortsecond = lambda val: val[1]
x = [list(map(int, input().split())) for _ in range(M)]
x.sort(key=sortsecond)

i = 0
for j in range(M):
  times = x[-(j+1)][0]
  num = x[-(j+1)][1]
  while (times > 0):
    try:
      tmp = A[i]
    except IndexError:
      print(sum(A))
      exit()
    
    if (tmp < num):
      A[i] = num
    else:
      print(sum(A))
      exit()
    times -= 1
    i += 1

print(sum(A))

Fixed submission:
import sys
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
sortsecond = lambda val: val[1]
x = [list(map(int, input().split())) for _ in range(M)]
x.sort(key=sortsecond)

i = 0
for j in range(M):
  times = x[-(j+1)][0]
  num = x[-(j+1)][1]
  while (times > 0):
    try:
      tmp = A[i]
    except IndexError:
      print(sum(A))
      exit()
    
    if (tmp < num):
      A[i] = num
    else:
      print(sum(A))
      exit()
    times -= 1
    i += 1

print(sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
for i in range(M):
  B, C = map(int, input().split())
  A += [C] * B

A.sort(reverse=True)
print(sum(A[0:N]))

Fixed submission:
import sys
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
sortsecond = lambda val: val[1]
x = [list(map(int, input().split())) for _ in range(M)]
x.sort(key=sortsecond)

i = 0
for j in range(M):
  times = x[-(j+1)][0]
  num = x[-(j+1)][1]
  while (times > 0):
    try:
      tmp = A[i]
    except IndexError:
      print(sum(A))
      exit()
    
    if (tmp < num):
      A[i] = num
    else:
      print(sum(A))
      exit()
    times -= 1
    i += 1

print(sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
A = list(map(int, input().split()))
for i in range(M):
  B, C = map(int, input().split())
  A += [C] * B

A.sort(reverse=True)
print(sum(A[0:N]))

Fixed submission:
import sys
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
sortsecond = lambda val: val[1]
x = [list(map(int, input().split())) for _ in range(M)]
x.sort(key=sortsecond)

i = 0
for j in range(M):
  times = x[-(j+1)][0]
  num = x[-(j+1)][1]
  while (times > 0):
    try:
      tmp = A[i]
    except IndexError:
      print(sum(A))
      exit()
    
    if (tmp < num):
      A[i] = num
    else:
      print(sum(A))
      exit()
    times -= 1
    i += 1

print(sum(A))
Buggy python submission (verdict: Time Limit Exceeded):
import sys
from functools import reduce
import sys
input = sys.stdin.readline
n = int(input())
A = list(map(int, input().split()))

def gcd(a, b):
	while (b):
		a, b = b, a % b
	return a

def gcd_list(numbers):
    return reduce(gcd, numbers)

ans = 0
for i in range(n):
    ans = max(ans, gcd_list(A[0:i] + A[i + 1:]))

print(ans)

Fixed submission:
# -*- coding: utf-8 -*-
import sys
from functools import reduce
import sys
input = sys.stdin.readline
n = int(input())
A = list(map(int, input().split()))

def gcd(a, b):
	while (b):
		a, b = b, a % b
	return a


L = [0] + [None] * (n - 1)
R = [0] + [None] * (n - 1)
for i in range(1, n):
	L[i] = gcd(L[i - 1], A[i - 1])
	R[i] = gcd(R[i - 1], A[-i])

M = [None] * n
R = R[::-1]
for i in range(n):
	M[i] = gcd(L[i], R[i])

print(max(M))

Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce
n = int(input())
A = list(map(int, input().split()))

def gcd(a, b):
	while (b):
		a, b = b, a % b
	return a

def gcd_list(numbers):
    return reduce(gcd, numbers)

ans = 0
for i in range(n):
    ans = max(ans, gcd_list(A[0:i] + A[i + 1:]))

print(ans)

Fixed submission:
# -*- coding: utf-8 -*-
import sys
from functools import reduce
import sys
input = sys.stdin.readline
n = int(input())
A = list(map(int, input().split()))

def gcd(a, b):
	while (b):
		a, b = b, a % b
	return a


L = [0] + [None] * (n - 1)
R = [0] + [None] * (n - 1)
for i in range(1, n):
	L[i] = gcd(L[i - 1], A[i - 1])
	R[i] = gcd(R[i - 1], A[-i])

M = [None] * n
R = R[::-1]
for i in range(n):
	M[i] = gcd(L[i], R[i])

print(max(M))

Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce
n = int(input())
A = list(map(int, input().split()))


def gcd_list(numbers):
    return reduce(math.gcd, numbers)


ans = 0
for i in range(n):
    gcd = gcd_list(A[0:i] + A[i + 1:])
    if (ans < gcd):
        ans = gcd

print(ans)

Fixed submission:
# -*- coding: utf-8 -*-
import sys
from functools import reduce
import sys
input = sys.stdin.readline
n = int(input())
A = list(map(int, input().split()))

def gcd(a, b):
	while (b):
		a, b = b, a % b
	return a


L = [0] + [None] * (n - 1)
R = [0] + [None] * (n - 1)
for i in range(1, n):
	L[i] = gcd(L[i - 1], A[i - 1])
	R[i] = gcd(R[i - 1], A[-i])

M = [None] * n
R = R[::-1]
for i in range(n):
	M[i] = gcd(L[i], R[i])

print(max(M))
Buggy python submission (verdict: Runtime Error):
n = int(input())
s = list(input())
cd = 0
cs = 0
ans = 0

if (s[0] == '#'):
  for i in range(n):
    if (s[i] == '.'):
      break
    elif (s[i] == '#'):
      cs += 1

for i in range(cs, n):
  if (s[i] == '.'):
      cd += 1
  elif (s[i] == '#'):
    break

if (cs < cd):
  ans += cs
  s[0:cs + cd] = ''

s = s[::-1]

if (s[0] == '.'):
  for i in range(n):
    if (s[i] == '#'):
      break
    elif (s[i] == '.'):
      cd += 1

for i in range(cd, n):
  if (s[i] == '#'):
      cs += 1
  elif (s[i] == '.'):
    break

if (cd < cs):
  ans += cd
  s[0:cd + cs] = ''


ans1 = s.count('.')
ans2 = s.count('#')
print(min([ans1, ans2]) + ans)


Fixed submission:
n = int(input())
S = list(input())
ans = S.count('.')
c = ans
for i in range(n):
    if (S[i] == '#'):
        c += 1
    else:
        c -= 1
    ans = min(ans, c)


print(ans)
Buggy python submission (verdict: Runtime Error):
A = [int(input()) for _ in range(5)]
B = [a%10 for a in A]
C = [10 - b for b in B]
while (10 in C):
  C.remove(10)
C.remove(max(C))
print(sum(A) + sum(C))


Fixed submission:
A = [int(input()) for _ in range(5)]
B = [a%10 for a in A]
C = [10 - b for b in B]
while (10 in C):
  C.remove(10)

if (len(C)):
  C.remove(max(C))
print(sum(A) + sum(C))

Buggy python submission (verdict: Runtime Error):
A = [int(input()) for _ in range(5)]
B = [a%10 for a in A]
C = [10 - b for b in B]
while (10 in C):
  C.remove(10)
print(sum(A) + sum(C) - max(C))


Fixed submission:
A = [int(input()) for _ in range(5)]
B = [a%10 for a in A]
C = [10 - b for b in B]
while (10 in C):
  C.remove(10)

if (len(C)):
  C.remove(max(C))
print(sum(A) + sum(C))
Buggy python submission (verdict: Time Limit Exceeded):
N, Q = map(int, input().split())
S = input()
is_AC_list = [None] * (N - 1)

for i in range(N - 1):
  is_AC_list[i] = S[i:i + 2].count('AC')

for i in range(Q):
  l, r = map(int, input().split())
  print(sum(is_AC_list[l-1:r-1]))

Fixed submission:
N, Q = map(int, input().split())
S = input()
t = [0] * (N + 1)

for i in range(N):
  t[i + 1] = t[i] + S[i:i + 2].count('AC')

for i in range(Q):
  l, r = map(int, input().split())
  print(t[r-1] - t[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
N, Q = map(int, input().split())
S = input()
L = [None] * Q
R = [None] * Q
for i in range(Q):
  L[i], R[i] = map(int, input().split())
  print((S[L[i] - 1:R[i]]).count('AC'))


Fixed submission:
N, Q = map(int, input().split())
S = input()
t = [0] * (N + 1)

for i in range(N):
  t[i + 1] = t[i] + S[i:i + 2].count('AC')

for i in range(Q):
  l, r = map(int, input().split())
  print(t[r-1] - t[l-1])
Buggy python submission (verdict: Runtime Error):
H, W = map(int, input().split())
h, w = map(int, input().split())
ans = h * W + w * H - h * w 
print(ans)H, W = map(int, input().split())
h, w = map(int, input().split())
ans = H * W - (h * W + w * H - h * w) 
print(ans)

Fixed submission:
H, W = map(int, input().split())
h, w = map(int, input().split())
ans = H * W - (h * W + w * H - h * w) 
print(ans)
Buggy python submission (verdict: Runtime Error):
n, x = map(int, input().split())


def pi(n):
    return 2**(n+1)-1


def ai(n):
    return 2**(n+2) - 3


def f(n, x):
    if (x <= 1) or (n <= 0):
        return 0
    elif (1 < x) and (x <= 1 + ai(n-1)):
        return f(n - 1, x - 1)
    elif x == 2 + ai(n - 1):
        return pi(n - 1) + 1
    elif (2 + ai(n - 1) < x) and (x <= 2 + 2 * ai(n - 1)):
        return pi(n-1) + 1 + f(n-1, x-2-ai(n-1))
    elif x >= ai(n):
        return pi(n)


print(f(n, x))


Fixed submission:
str = "Christmas"
for i in range(25-int(input())):
    str += " Eve"
print(str)

Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split())
h = [int(input()) for _ in range(N)]
h = sorted(h)
print(min(h[i+K-1]-h[i] for i in range(N-K+1)))


Fixed submission:
str = "Christmas"
for i in range(25-int(input())):
    str += " Eve"
print(str)

Buggy python submission (verdict: Runtime Error):
p=[int(input()) for i in range(int(input()))]
print(sum(p)-max(p)//2)

Fixed submission:
str = "Christmas"
for i in range(25-int(input())):
    str += " Eve"
print(str)
Buggy python submission (verdict: Runtime Error):
print(sum(p)-max([int(input()) for i in range(int(input()))])//2)

Fixed submission:
p = [int(input()) for i in range(int(input()))]
print(sum(p)-max(p)//2)
Buggy python submission (verdict: Runtime Error):
N, K, *H = map(int, open(0).read().split())
H.sort()
a=float('inf')
for i in range(N-K+1):
    a=min(a,H[i+k-1]-H[i])
print(a)

Fixed submission:
N, K = map(int, input().split())
h = sorted([int(input()) for _ in range(N)])
print(min([h[i+K-1]-h[i] for i in range(N - K + 1)]))

Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
h = [int(input()) for _ in range(N)]
h = sorted(h)
dh = []
for i in range(N - K + 1):
    dh = dh + [h[i + K - 1]-h[i]]

print(min(dh))

Fixed submission:
N, K = map(int, input().split())
h = sorted([int(input()) for _ in range(N)])
print(min([h[i+K-1]-h[i] for i in range(N - K + 1)]))

Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
h = [int(input()) for i in range(N)]


def quick(a):
    if len(a) < 2:
        return a
    p = a[0]
    x, y = quick_div(p, a[1:])
    return quick(x) + [p] + quick(y)


def quick_div(p, a):
    if len(a) < 1:
        return ([], [])
    x, y = quick_div(p, a[1:])
    if a[0] < p:
        return ([a[0]] + x, y)
    else:
        return (x, [a[0]] + y)


h = quick(h)
dh = []
for i in range(len(h) - K + 1):
    dh = dh + [h[i + K - 1]-h[i]]

print(min(dh))

Fixed submission:
N, K = map(int, input().split())
h = sorted([int(input()) for _ in range(N)])
print(min([h[i+K-1]-h[i] for i in range(N - K + 1)]))

Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
h = [int(input()) for i in range(N)]


def quick(a):
    if len(a) < 2:
        return a
    p = a[0]
    x, y = quick_div(p, a[1:])
    return quick(x) + [p] + quick(y)


def quick_div(p, a):
    if len(a) < 1:
        return ([], [])
    x, y = quick_div(p, a[1:])
    if a[0] < p:
        return ([a[0]] + x, y)
    else:
        return (x, [a[0]] + y)


h = quick(h)
# print(h)
dh = []
for i in range(len(h) - K + 1):
    dh = dh + [h[i + K - 1]-h[i]]

print(min(dh))

# 入力例1
# 5 3
# 5
# 7
# 5
# 7
# 7

# 出力
# 2


Fixed submission:
N, K = map(int, input().split())
h = sorted([int(input()) for _ in range(N)])
print(min([h[i+K-1]-h[i] for i in range(N - K + 1)]))
Buggy python submission (verdict: Runtime Error):
n, x = map(int, input().split())


def pi(n):
    return 2**(n+1)-1


def ai(n):
    return 2**(n+2) - 3


def f(n, x):
    if N == 0:
        return 0 if X <= 0 else 1
    elif (1 < x) and (x <= 1 + ai(n-1)):
        return f(n - 1, x - 1)
    elif x == 2 + ai(n - 1):
        return pi(n - 1) + 1
    elif (2 + ai(n - 1) < x) and (x <= 2 + 2 * ai(n - 1)):
        return pi(n-1) + 1 + f(n-1, x-2-ai(n-1))
    elif x >= ai(n):
        return pi(n)


print(f(n, x))


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


def pi(n):
    return 2**(n+1)-1


def ai(n):
    return 2**(n+2) - 3


def f(n, x):
    if n == 0:
        return 1
    else:
        if x == 1:
            return 0
        elif (1 < x) and (x <= 1 + ai(n-1)):
            return f(n - 1, x - 1)
        elif x == 2 + ai(n - 1):
            return pi(n - 1) + 1
        elif (2 + ai(n - 1) < x) and (x <= 2 + 2 * ai(n - 1)):
            return pi(n-1) + 1 + f(n-1, x-2-ai(n-1))
        elif x >= ai(n):
            return pi(n)


print(f(n, x))

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


def pi(n):
    if n == 1:
        return 3
    return 2*pi(n-1)+1


def ai(n):
    if n == 1:
        return 5
    return 2*ai(n-1) + 3


def f(n, x):
    if x == 1:
        return 0
    elif (1 < x) and (x <= 1 + ai(n-1)):
        return f(n - 1, x - 1)
    elif x == 2 + ai(n - 1):
        return pi(n - 1) + 1
    elif (2 + ai(n - 1) < x) and (x <= 2 + 2 * ai(n - 1)):
        return pi(n-1) + 1 + f(n-1, x-2-ai(n-1))
    elif x == ai(n):
        return pi(n)


print(f(n, x))


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


def pi(n):
    return 2**(n+1)-1


def ai(n):
    return 2**(n+2) - 3


def f(n, x):
    if n == 0:
        return 1
    else:
        if x == 1:
            return 0
        elif (1 < x) and (x <= 1 + ai(n-1)):
            return f(n - 1, x - 1)
        elif x == 2 + ai(n - 1):
            return pi(n - 1) + 1
        elif (2 + ai(n - 1) < x) and (x <= 2 + 2 * ai(n - 1)):
            return pi(n-1) + 1 + f(n-1, x-2-ai(n-1))
        elif x >= ai(n):
            return pi(n)


print(f(n, x))

Buggy python submission (verdict: Time Limit Exceeded):
n, x = map(int, input().split())


def burger(n):
    if n == 0:
        return 'P'
    return 'B' + burger(n - 1) + 'P' + burger(n-1) + 'B'


print(burger(n)[:x].count('P'))

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


def pi(n):
    return 2**(n+1)-1


def ai(n):
    return 2**(n+2) - 3


def f(n, x):
    if n == 0:
        return 1
    else:
        if x == 1:
            return 0
        elif (1 < x) and (x <= 1 + ai(n-1)):
            return f(n - 1, x - 1)
        elif x == 2 + ai(n - 1):
            return pi(n - 1) + 1
        elif (2 + ai(n - 1) < x) and (x <= 2 + 2 * ai(n - 1)):
            return pi(n-1) + 1 + f(n-1, x-2-ai(n-1))
        elif x >= ai(n):
            return pi(n)


print(f(n, x))
Buggy python submission (verdict: Runtime Error):
if (input() == '3') or (input() == '5') or (input() == '7'):
  print("YES")
else:
  print("NO")n = input()
if (n == '3') or (n == '5') or (n == '7'):
    print("YES")
else:
    print("NO")


Fixed submission:
n = input()
if (n == '3') or (n == '5') or (n == '7'):
    print("YES")
else:
    print("NO")

Buggy python submission (verdict: Runtime Error):
if (input() == '3') or (input() == '5') or (input() == '7'):
  print("YES")
else:
  print("NO")

Fixed submission:
n = input()
if (n == '3') or (n == '5') or (n == '7'):
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Runtime Error):
a, b = map(int, input())
if (a <= b):
  print(a)
else:
  print(a - 1)


Fixed submission:
a, b = map(int, input().split())
if (a <= b):
  print(a)
else:
  print(a - 1)
Buggy python submission (verdict: Runtime Error):
  n = int(input())
  print(n//3)

Fixed submission:
n = int(input())
print(n//3)

Buggy python submission (verdict: Runtime Error):
  n = int(input())
  print((n - n  % 3)//3)

Fixed submission:
n = int(input())
print(n//3)

Buggy python submission (verdict: Runtime Error):
n = int()  n = int(input())
  print((n - n  % 3)//3)

Fixed submission:
n = int(input())
print(n//3)
Buggy python submission (verdict: Runtime Error):
n = int(input())
T = [0] + [None] * n
X = [0] + [None] * n
Y = [0] + [None] * n
for i in range(1, n + 1):
  T[i], X[i], Y[i] = map(int, input().split())

for i in range(len(T) - 1):
  dt = abs(T[i + 1] - T[i])
  dx = abs(X[i + 1] - X[i])
  dy = abs(Y[i + 1] - Y[i])
  if (dt % 2 == (dx + dy) % 2 and (dx + dy) <= dt):
    res = res and True
  else:
    res = False

if (res):
  print('Yes')
else:
  print('No')


Fixed submission:
n = int(input())
T = [0] + [None] * n
X = [0] + [None] * n
Y = [0] + [None] * n
for i in range(1, n + 1):
  T[i], X[i], Y[i] = map(int, input().split())

for i in range(len(T) - 1):
  dt = T[i + 1] - T[i]
  dx = abs(X[i + 1] - X[i])
  dy = abs(Y[i + 1] - Y[i])
  if (dt % 2 == (dx + dy) % 2 and (dx + dy) <= dt):
    res = True
  else:
    print('No')
    exit()

print('Yes')

Buggy python submission (verdict: Runtime Error):
n = int(input())
T = [0] + [None] * n
X = [0] + [None] * n
Y = [0] + [None] * n
for i in range(1, n + 1):
  T[i], X[i], Y[i] = map(int, input().split())

for i in range(len(T) - 1):
  dt = T[i + 1] - T[i]
  dx = X[i + 1] - X[i]
  dy = Y[i + 1] - Y[i]
  if (dt % 2 == (dx + dy) % 2 and (dx + dy) <= dt):
    res = res and True
  else:
    res = False

if (res):
  print('Yes')
else:
  print('No')


Fixed submission:
n = int(input())
T = [0] + [None] * n
X = [0] + [None] * n
Y = [0] + [None] * n
for i in range(1, n + 1):
  T[i], X[i], Y[i] = map(int, input().split())

for i in range(len(T) - 1):
  dt = T[i + 1] - T[i]
  dx = abs(X[i + 1] - X[i])
  dy = abs(Y[i + 1] - Y[i])
  if (dt % 2 == (dx + dy) % 2 and (dx + dy) <= dt):
    res = True
  else:
    print('No')
    exit()

print('Yes')
Buggy python submission (verdict: Runtime Error):
s = inupt()
print(s.count('1'))

Fixed submission:
s = input()
print(s.count('1'))