Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import sys

s = input()
n = len(s)
l = [0] * n

for i in range(n):
	state = i
	count = 0
	while True:
		if s[state] == 'R' and s[state+1] == 'L':
			if count % 2 == 0:
				l[state] += 1
			else:
				l[state+1] += 1
			break
		elif s[state] == 'L' and s[state-1] == 'R':
			if count % 2 == 0:
				l[state] += 1
			else:
				l[state-1] += 1
			break
		elif s[state] == 'R' and s[state+1] == 'R':
			state += 1
			count += 1
		elif s[state] == 'L' and s[state-1] == 'L':
			state -= 1
			count += 1
		else:
			print('error')
			break

for i in range(n):
	sys.stdout.write(str(l[i]))
	if i != n-1:
		sys.stdout.write(" ")

Fixed submission:
import sys

s = input()
n = len(s)
l = [0] * n
reverse_s = ''.join(list(reversed(s)))

for i in range(n):
	state = i
	count = 0
	while True:
		if s[state] == 'R' and s[state+1] == 'L':
			if count % 2 == 0:
				l[state] += 1
			else:
				l[state+1] += 1
			break
		elif s[state] == 'L' and s[state-1] == 'R':
			if count % 2 == 0:
				l[state] += 1
			else:
				l[state-1] += 1
			break
		elif s[state] == 'R' and s[state+1] == 'R':
			tmp = s.find('L',state,n) - state
			state += tmp
			count += tmp
		elif s[state] == 'L' and s[state-1] == 'L':
			tmp = reverse_s.find('R',n-state,n) - (n - state)
			state -= tmp
			count += tmp
		else:
			print('error')
			break

for i in range(n):
	sys.stdout.write(str(l[i]))
	if i != n-1:
		sys.stdout.write(" ")
Buggy python submission (verdict: Time Limit Exceeded):
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(-1 * int(input()))

for i in range(n):
	b = copy.deepcopy(a)
	heapq.heapify(b)
	maximum = heapq.heappop(b)
	if maximum == a[i]:
		print(heapq.heappop(b) * (-1))
	else:
		print(maximum * (-1))


Fixed submission:
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(-1 * int(input()))

b = copy.deepcopy(a)
heapq.heapify(b)

for i in range(n):
	maximum = heapq.heappop(b)
	if maximum == a[i]:
		tmp = maximum
		maximum = heapq.heappop(b)
		print(maximum * (-1))
		heapq.heappush(b,tmp)
	else:
		print(maximum * (-1))
	heapq.heappush(b,maximum)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(-1 * int(input()))

for i in range(n):
	b = copy.deepcopy(a)
	b.remove(a[i])
	heapq.heapify(b)
	maximum = heapq.heappop(b) * (-1)
	if maximum == a[i]:
		print(heapq.heappop(b) + (-1))
	else:
		print(maximum)


Fixed submission:
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(-1 * int(input()))

b = copy.deepcopy(a)
heapq.heapify(b)

for i in range(n):
	maximum = heapq.heappop(b)
	if maximum == a[i]:
		tmp = maximum
		maximum = heapq.heappop(b)
		print(maximum * (-1))
		heapq.heappush(b,tmp)
	else:
		print(maximum * (-1))
	heapq.heappush(b,maximum)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(-1 * int(input()))

for i in range(n):
	b = copy.deepcopy(a)
	b.remove(a[i])
	heapq.heapify(b)
	print(heapq.heappop(b) * (-1))


Fixed submission:
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(-1 * int(input()))

b = copy.deepcopy(a)
heapq.heapify(b)

for i in range(n):
	maximum = heapq.heappop(b)
	if maximum == a[i]:
		tmp = maximum
		maximum = heapq.heappop(b)
		print(maximum * (-1))
		heapq.heappush(b,tmp)
	else:
		print(maximum * (-1))
	heapq.heappush(b,maximum)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(int(input()))

for i in range(n):
	b = copy.deepcopy(a)
	b.remove(a[i])
	b = [-1*tmp for tmp in b]
	heapq.heapify(b)
	print(heapq.heappop(b) * (-1))



Fixed submission:
import sys
import heapq
import copy

n = int(input())
a = []

for _ in range(n):
	a.append(-1 * int(input()))

b = copy.deepcopy(a)
heapq.heapify(b)

for i in range(n):
	maximum = heapq.heappop(b)
	if maximum == a[i]:
		tmp = maximum
		maximum = heapq.heappop(b)
		print(maximum * (-1))
		heapq.heappush(b,tmp)
	else:
		print(maximum * (-1))
	heapq.heappush(b,maximum)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = []

for _ in range(n):
	a.append(int(input()))
b = [0]*n

index = 0
color = 0
for _ in range(n):
	color += 1
	minimum = a[index]
	b[index] = 1
	for i in range(index+1,n):
		if b[i] == 0 and minimum < a[i]:
			b[i] = 1
			minimum = a[i]
	if 0 not in b:
		break
	index = b.index(0)

print(color)


Fixed submission:
import bisect
from collections import deque

N = int(input())
a = []
for _ in range(N):
  a.append(int(input()))

LIS = deque([a[0]])
for i in range(1,N):
    if a[i] > LIS[-1]:
    	LIS[-1] = a[i]
    elif LIS[0] >= a[i]:
    	LIS.appendleft(a[i])
    else:
    	LIS[bisect.bisect_left(LIS, a[i])-1] = a[i]

print(len(LIS))
Buggy python submission (verdict: Runtime Error):
import math
import sys

def p(n, r):
	if n < r:
		return 1
	return math.factorial(n) // math.factorial(n - r)

def main():
	input = sys.stdin.readline
	N,K = map(int,input().split())
	E = [[] for _ in range(N)]
	MOD = 10**9+7
	#辺の定義
	for _ in range(N-1):
	  u,v = map(int,input().split())
	  u -= 1
	  v -= 1
	  E[u].append(v)
	  E[v].append(u)

	if N == 1:
		print(K)
		sys.exit()
	#colorが塗られたかどうか
	color = [-1 for _ in range(N)]
	dp = [-1 for _ in range(N)]
	#dfsで色を塗っていく
	stack = []
	color[u] = 1
	ans = K
	for i,v in enumerate(E[u]):
		stack.append(v)
		ans *= (K-i-1)
		ans %= MOD

	while stack:
		u = stack.pop()
		color[u] = 1
		length = 0
		for v in E[u]:
			if color[v] == -1:
				stack.append(v)
				length += 1
		if dp[length] == -1:
			tmp = 1
			for i in range(K-1-length,K-1):
				tmp *= i
				tmp %= MOD
			#tmp = p(K-2,length) % MOD
			ans *= tmp
			dp[length] = tmp
		else:
			ans *= dp[length]
		ans %= MOD

	#各頂点の色を出力
	print(ans%MOD)

if __name__ == '__main__':
	main()

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

print(min(b,a*n))
Buggy python submission (verdict: Runtime Error):
l,r = map(int,input().split())

if r-l >= 2018:
  print(0)
else:
  ans = 2019
  for i in range(l,r):
    for j in range(i+1,r+1):
      ans = min(ans,(i*j)%2019)

print(ans)


Fixed submission:
l,r = map(int,input().split())
n = r - l + 1
if n >= 2019:
	print(0)
else:
	l_to_r = []
	for i in range(l,r+1):
		l_to_r.append(i % 2019)
	ans = []
	for i in range(n-1):
		for j in range(i+1,n):
			ans.append(l_to_r[i] * l_to_r[j] % 2019)
	print(min(ans))
Buggy python submission (verdict: Runtime Error):
import math

def p(n, r):
	if n < r:
		return 1
	return math.factorial(n) // math.factorial(n - r)

N,K = map(int,input().split())
E = [[] for _ in range(N)]
MOD = 10**9+7
#辺の定義
#辺E(u,v)の重みがw
for _ in range(N-1):
  u,v = map(int,input().split())
  u -= 1
  v -= 1
  E[u].append(v)
  E[v].append(u)

#colorが塗られたかどうか
color = [-1 for _ in range(N)]

#dfsで色を塗っていく
stack = []
color[u] = 1
ans = K
for i,v in enumerate(E[u]):
	stack.append(v)
	ans *= (K-i-1)
	ans %= MOD

while stack:
	u = stack.pop()
	color[u] = 1
	length = len(E[u])
	for v in E[u]:
		if color[v] == -1:
			stack.append(v)
		else:
			length -= 1
	ans *= p(K-2,length) % MOD
	ans %= MOD

#各頂点の色を出力
print(ans%MOD)

Fixed submission:
import math
import sys

def p(n, r):
	if n < r:
		return 1
	return math.factorial(n) // math.factorial(n - r)

def main():
	input = sys.stdin.readline
	N,K = map(int,input().split())
	E = [[] for _ in range(N)]
	MOD = 10**9+7
	#辺の定義
	for _ in range(N-1):
	  u,v = map(int,input().split())
	  u -= 1
	  v -= 1
	  E[u].append(v)
	  E[v].append(u)

	if N == 1:
		print(K)
		sys.exit()
	#colorが塗られたかどうか
	color = [-1 for _ in range(N)]
	dp = [-1 for _ in range(N)]
	#dfsで色を塗っていく
	stack = []
	color[u] = 1
	ans = K
	for i,v in enumerate(E[u]):
		stack.append(v)
		ans *= (K-i-1)
		ans %= MOD

	while stack:
		u = stack.pop()
		color[u] = 1
		length = 0
		for v in E[u]:
			if color[v] == -1:
				stack.append(v)
				length += 1
		if dp[length] == -1:
			tmp = 1
			for i in range(K-1-length,K-1):
				tmp *= i
				tmp %= MOD
			#tmp = p(K-2,length) % MOD
			ans *= tmp
			dp[length] = tmp
		else:
			ans *= dp[length]
		ans %= MOD

	#各頂点の色を出力
	print(ans%MOD)

if __name__ == '__main__':
	main()
Buggy python submission (verdict: Runtime Error):
import heapq
import copy
import bisect

n = int(input())
a = []
b = []
flag = True

for _ in range(n):
	a_dash,b_dash = map(int,input().split())
	a.append(a_dash)
	b.append(b_dash)

t = 0
a2 = copy.deepcopy(a)
b2 = copy.deepcopy(b)
heapq.heapify(b2)

for i in range(n):
	minimum = heapq.heappop(b2)
	index = bisect.bisect_left(b,minimum)
	for _ in range(n):
		if a2[index] == -1:
			index += 1
		else:
			break
	a2[index] = -1
	t += a[index]
	if t > minimum:
		flag = False
		break

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


Fixed submission:
import heapq
import copy
import bisect
from collections import deque

n = int(input())
a = []
b = []
tmp_a = []
tmp_b = []
flag = True

for _ in range(n):
	a_dash,b_dash = map(int,input().split())
	tmp_a.append(a_dash)
	tmp_b.append(b_dash)

k = zip(tmp_b,tmp_a)
sorted_k = sorted(k)
for b_dash,a_dash in sorted_k:
	a.append(a_dash)
	b.append(b_dash)

t = 0
qa = deque(a)
qb = deque(b)

for i in range(n):
	minimum_a = qa.popleft()
	minimum_b = qb.popleft()
	t += minimum_a
	if t > minimum_b:
		flag = False
		break

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

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import copy

n = int(input())
a = []
b = []
flag = True

for _ in range(n):
	a_dash,b_dash = map(int,input().split())
	a.append(a_dash)
	b.append(b_dash)

t = 0
b2 = copy.deepcopy(b)
heapq.heapify(b2)

for i in range(n):
	minimum = heapq.heappop(b2)
	index = b.index(minimum)
	t += a[index]
	b[index] = -1
	if t > minimum:
		flag = False
		break

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


Fixed submission:
import heapq
import copy
import bisect
from collections import deque

n = int(input())
a = []
b = []
tmp_a = []
tmp_b = []
flag = True

for _ in range(n):
	a_dash,b_dash = map(int,input().split())
	tmp_a.append(a_dash)
	tmp_b.append(b_dash)

k = zip(tmp_b,tmp_a)
sorted_k = sorted(k)
for b_dash,a_dash in sorted_k:
	a.append(a_dash)
	b.append(b_dash)

t = 0
qa = deque(a)
qb = deque(b)

for i in range(n):
	minimum_a = qa.popleft()
	minimum_b = qb.popleft()
	t += minimum_a
	if t > minimum_b:
		flag = False
		break

if flag:
	print('Yes')
else:
	print('No')
Buggy python submission (verdict: Runtime Error):
n,m = map(int,input().split())

a = []
for _ in range(m):
    a.append(int(input()))

dp = [0 for _ in range(n+1)]
dp[0] = 1
dp[1] = 1
dp[2] = 2
if m == 0:
    for i in range(2,n+1):
        dp[i] = dp[i-1] + dp[i-2]
    print(dp[n]%(10**9+7))
else:
    c = 0
    for i in range(1,n+1):
        if i == a[c]:
            dp[i] = 0
            if c < m-1:
                c += 1
        else:
            dp[i] = dp[i-1] + dp[i-2]

    print(dp[n]%(10**9+7))


Fixed submission:
import sys

n,m = map(int,input().split())
t = [0] * 2
t[0] = 1
t[1] = 2
a = []
for _ in range(m):
	a.append(int(input()))
mod = 10**9 + 7

for i in range(1,m):
	if a[i] - a[i-1] == 1:
		print(0)
		sys.exit()
a.append(n+1)

l = []
dan = 0
for i in range(m+1):
	l.append(a[i]-1-dan)
	dan = a[i] + 1
	if dan == n+2:
		break

if max(l) > 2:
	for i in range(2,max(l)):
		t.append(t[i-1] + t[i-2])

ans = 1
for i in l:
	if i != 0 and t[i-1] != 0:
		ans *= t[i-1]
		ans %= mod

print(ans)

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

a = []
for _ in range(m):
    a.append(int(input()))

dp = [0 for _ in range(n+1)]
dp[0] = 1
dp[1] = 1
dp[2] = 2
c = 0
for i in range(1,n+1):
    if i == a[c]:
        dp[i] = 0
        if c < m-1:
            c += 1
    else:
        dp[i] = dp[i-1] + dp[i-2]

print(dp[n]%(10**9+7))


Fixed submission:
import sys

n,m = map(int,input().split())
t = [0] * 2
t[0] = 1
t[1] = 2
a = []
for _ in range(m):
	a.append(int(input()))
mod = 10**9 + 7

for i in range(1,m):
	if a[i] - a[i-1] == 1:
		print(0)
		sys.exit()
a.append(n+1)

l = []
dan = 0
for i in range(m+1):
	l.append(a[i]-1-dan)
	dan = a[i] + 1
	if dan == n+2:
		break

if max(l) > 2:
	for i in range(2,max(l)):
		t.append(t[i-1] + t[i-2])

ans = 1
for i in l:
	if i != 0 and t[i-1] != 0:
		ans *= t[i-1]
		ans %= mod

print(ans)
Buggy python submission (verdict: Runtime Error):
from heapq import heapify,heappush,heappop
import math

n,K = map(int,input().split())
v = list(map(int,input().split()))

ans = 0
sum_d = 0
d = []
heapify(d)
# i = 操作回数
# j = 取る回数 (i-j = 捨てる回数)
# k = 左から取る回数 (j-k = 右から取る回数)
for i in range(1,K+1):
	for j in range(math.ceil(i/2),i+1):
		for k in range(j+1):
			#print(i,j,k,j-k,i-j,ans)
			# 左から取る
			for l in range(k):
				heappush(d,v[l])
				sum_d += v[l]
			# 右から取る
			for l in range(j-k):
				heappush(d,v[-l-1])
				sum_d += v[-l-1]
			for l in range(i-j):
				sum_d -= heappop(d)
			ans = max(sum_d,ans)
			sum_d = 0
			d = []
			heapify(d)
print(ans)


Fixed submission:
from collections import deque
import heapq

n,k = map(int,input().split())
v = list(map(int,input().split()))


#a : heapq.heappop(s,v.popleft())
#b : heapq.heappop(s,v.pop())
#c : v.appendleft(heapq.heappop(s))
#d : v.append(heapq.heappop(s))
ans = 0
for i in range(1,min(n,k)+1):
    for j in range(i+1):
        s = []
        heapq.heapify(s)
        res = 0
        num = 0
        for _ in range(j):
            heapq.heappush(s,v[num])
            res += v[num]
            num += 1
        num = 1
        for _ in range(j,i):
            heapq.heappush(s,v[-num])
            res += v[-num]
            num += 1

        for j in range(k-i):
            if len(s) == 0:
                break
            if s[0] < 0:
                res -= heapq.heappop(s)
            else:
                break
        if ans < res:
            ans = res
    #print(i,ans)
print(ans)
Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left

n,m = map(int,input().split())
a = list(map(int,input().split()))
bc = []
for _ in range(m):
	bc.append(list(map(int,input().split())))

a.sort()
bc = sorted(bc, key=lambda x:x[1])

l = [0 for _ in range(n+1)]
for i in range(1,n+1):
	l[i] = a[i-1]
for i in range(n):
	l[i+1] += l[i]

ans = l[-1]
num = 0
while True:
	if len(bc) == 0:
		break
	tmp = bc.pop()
	b = tmp[0]
	c = tmp[1]
	index = bisect_left(a,c)

	if index == 0:
		break
	if b >= index:
		ans -= l[index+num] - l[num]
		ans += index * c
		break
	else:
		ans -= l[b]
		ans += b * c
		a = a[b:]
		num += b

print(ans)


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

if a <= 5:
    print(0)
elif a > 5 and a <= 12:
    print(b // 2)
else:
    print(b)
Buggy python submission (verdict: Runtime Error):
n,k = map(int,input().split())
s = input()

zero = []
one = []
string = s[0]
if string == '0':
	flag = True
else:
	flag = False
count = 0
left = 0
right = 0
num = 0
for i in range(n):
	if s[i] == string:
		count += 1
	else:
		if string == '0':
			num = count
			string = '1'
		else:
			one.append(count)
			if num != 0:
				zero.append([num,left,count])
			string = '0'
			left = count
			num = 1
		count = 1

if string == '0':
	zero.append([num,left,0])
else:
	zero.append([num,left,count])
	one.append(count)
#print(zero)
#print(one)

res = 0
for i in range(k):
	res += zero[i][0] + zero[i][1]
res += zero[i][2]
#print(res)
ans = res
for i in range(len(zero)-k):
	res -= zero[i][0] + zero[i][1]
	#print(res)
	res += zero[i+k][0] + zero[i+k][2]
	#print(res)
	ans = max(ans,res)
print(ans)

Fixed submission:
import sys

n,k = map(int,input().split())
s = input()

zero = []
one = []
string = s[0]
if string == '0':
	flag = True
else:
	flag = False
count = 0
left = 0
right = 0
num = 0
for i in range(n):
	if s[i] == string:
		count += 1
	else:
		if string == '0':
			num = count
			string = '1'
		else:
			one.append(count)
			if num != 0:
				zero.append([num,left,count])
			string = '0'
			left = count
			num = 1
		count = 1

if string == '0':
	zero.append([count,left,0])
else:
	zero.append([num,left,count])
	one.append(count)
#print(zero)
#print(one)
if len(zero) <= k:
	print(len(s))
	sys.exit()
res = 0
for i in range(k):
	res += zero[i][0] + zero[i][1]
res += zero[i][2]
#print(res)
ans = res
for i in range(len(zero)-k):
	res -= zero[i][0] + zero[i][1]
	#print(res)
	res += zero[i+k][0] + zero[i+k][2]
	#print(res)
	ans = max(ans,res)
print(ans)
Buggy python submission (verdict: Runtime Error):
b = input()

if b == 'A':
  print('A')
elif b == 'C':
  print('T')
elif b == 'G':
  print('C')
else:
  print(G)


Fixed submission:
b = input()

if b == 'A':
  print('T')
elif b == 'C':
  print('G')
elif b == 'G':
  print('C')
else:
  print('A')
Buggy python submission (verdict: Runtime Error):
s = input()
n = len(s)

l = []

i = 0
ans = 0
while i < n-1:
	if s[i] != s[i+1]:
		ans += 1
		num = 2
		while True:
			if len(l) == 0:
				break
			left = l.pop()
			right = s[i+num]
			if left != right:
				ans += 1
				num += 1
			else:
				break
		i += num
	else:
		l.append(i)
		i += 1
print(2*ans)


Fixed submission:
s = input()
n = len(s)

l = []
tmp = []
i = 0
ans = 0
while i < n-1:
	if s[i] != s[i+1]:
		ans += 1
		num = 2
		while i+num < n:
			if len(l) == 0:
				break
			left = l.pop()
			right = s[i+num]
			if s[left] != right:
				ans += 1
				num += 1
			else:
				l.append(left)
				break
		i += num
	else:
		l.append(i)
		i += 1

print(2*ans)
Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**9) #追加

n,x = map(int,input().split())

def f(n):
	if n == 0:
		return 1
	return 2 * f(n-1) + 3

def f2(n):
	if n == 0:
		return 'P'
	return 'B' + f2(n-1) + 'P' + f2(n-1) + 'B'

def p(n):
	if n == 0:
		return 1
	return 2 * p(n-1) + 1

num = f(n)

ans = 0
while True:
	if num < 10 ** 5:
		break
	tmp = num // 2 + 1

	if x > tmp:
		ans += p(n) // 2 + 1
		x -= tmp
		num -= tmp + 1
	elif x < tmp:
		num -= tmp + 1
		x -= 1
	else:
		print(p(n-1)+1)
		sys.exit()
	n -= 1

string = f2(n)

for i in range(x):
	if string[i] == 'P':
		ans += 1
print(ans)


Fixed submission:
import sys
sys.setrecursionlimit(10**9)

n,x = map(int,input().split())

def f(n):
	if n == 0:
		return 1
	return 2 * f(n-1) + 3

def f2(n):
	if n == 0:
		return 'P'
	return 'B' + f2(n-1) + 'P' + f2(n-1) + 'B'

def p(n):
	if n == 0:
		return 1
	return 2 * p(n-1) + 1

num = f(n)

ans = 0
while True:
	if num < 10 ** 5:
		break
	tmp = num // 2 + 1

	if x > tmp:
		ans += p(n) // 2 + 1
		x -= tmp
		num -= tmp + 1
	elif x < tmp:
		num -= tmp + 1
		x -= 1
	else:
		print(p(n-1)+1)
		sys.exit()
	n -= 1

string = f2(n)
if len(string) <= x:
	print(p(n)+ans)
else:
	for i in range(x):
		if string[i] == 'P':
			ans += 1
	print(ans)

Buggy python submission (verdict: Runtime Error):
import sys

n,x = map(int,input().split())

def f(n):
	if n == 0:
		return 1
	return 2 * f(n-1) + 3

def f2(n):
	if n == 0:
		return 'P'
	return 'B' + f2(n-1) + 'P' + f2(n-1) + 'B'

def p(n):
	if n == 0:
		return 1
	return 2 * p(n-1) + 1

num = f(n)

ans = 0
while True:
	if num < 10 ** 5:
		break
	tmp = num // 2 + 1

	if x > tmp:
		ans += p(n) // 2 + 1
		x -= tmp
		num -= tmp + 1
	elif x < tmp:
		num -= tmp + 1
		x -= 1
	else:
		print(p(n-1)+1)
		sys.exit()
	n -= 1

string = f2(n)

for i in range(x):
	if string[i] == 'P':
		ans += 1
print(ans)


Fixed submission:
import sys
sys.setrecursionlimit(10**9)

n,x = map(int,input().split())

def f(n):
	if n == 0:
		return 1
	return 2 * f(n-1) + 3

def f2(n):
	if n == 0:
		return 'P'
	return 'B' + f2(n-1) + 'P' + f2(n-1) + 'B'

def p(n):
	if n == 0:
		return 1
	return 2 * p(n-1) + 1

num = f(n)

ans = 0
while True:
	if num < 10 ** 5:
		break
	tmp = num // 2 + 1

	if x > tmp:
		ans += p(n) // 2 + 1
		x -= tmp
		num -= tmp + 1
	elif x < tmp:
		num -= tmp + 1
		x -= 1
	else:
		print(p(n-1)+1)
		sys.exit()
	n -= 1

string = f2(n)
if len(string) <= x:
	print(p(n)+ans)
else:
	for i in range(x):
		if string[i] == 'P':
			ans += 1
	print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys

n,y = map(int,input().split())

for i in reversed(range(y//10000 + 1)):
	n -= i
	y -= 10000 * i
	if 10000 * i + 5000 * (n-i) < y:
		break
	for j in reversed(range(y//5000 + 1)):
		n -= j
		y -= 5000 * j
		for k in reversed(range(y//1000 + 1)):
			n -= k
			y -= 1000 * k
			if y == 0 and n == 0:
				print(i,j,k)
				sys.exit()
			n += k
			y += 1000 * k
		n += j
		y += 5000 * j
	n += i
	y += 10000 * i

print("-1 -1 -1")


Fixed submission:
import sys

n,y = map(int,input().split())

if y // 10000 > n:
	print("-1 -1 -1")
	sys.exit()

for i in reversed(range(y//10000 + 1)):
	n -= i
	y -= 10000 * i
	if 10000 * i + 5000 * (n-i) < y:
		break
	for j in reversed(range(y//5000 + 1)):
		n -= j
		y -= 5000 * j
		for k in reversed(range(y//1000 + 1)):
			n -= k
			y -= 1000 * k
			if y == 0 and n == 0:
				print(i,j,k)
				sys.exit()
			else:
				n += k
				y += 1000 * k
				break
		n += j
		y += 5000 * j
	n += i
	y += 10000 * i

print("-1 -1 -1")

Buggy python submission (verdict: Time Limit Exceeded):
import sys

n,y = map(int,input().split())

for i in reversed(range(y//10000 + 1)):
	n -= i
	y -= 10000 * i
	for j in reversed(range(y//5000 + 1)):
		n -= j
		y -= 5000 * j
		for k in reversed(range(y//1000 + 1)):
			n -= k
			y -= 1000 * k
			if y == 0 and n == 0:
				print(i,j,k)
				sys.exit()
			n += k
			y += 1000 * k
		n += j
		y += 5000 * j
	n += i
	y += 10000 * i

print("-1 -1 -1")


Fixed submission:
import sys

n,y = map(int,input().split())

if y // 10000 > n:
	print("-1 -1 -1")
	sys.exit()

for i in reversed(range(y//10000 + 1)):
	n -= i
	y -= 10000 * i
	if 10000 * i + 5000 * (n-i) < y:
		break
	for j in reversed(range(y//5000 + 1)):
		n -= j
		y -= 5000 * j
		for k in reversed(range(y//1000 + 1)):
			n -= k
			y -= 1000 * k
			if y == 0 and n == 0:
				print(i,j,k)
				sys.exit()
			else:
				n += k
				y += 1000 * k
				break
		n += j
		y += 5000 * j
	n += i
	y += 10000 * i

print("-1 -1 -1")
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import accumulate
n, k = map(int, input().split())
a = list(map(int, input().split()))

for _ in range(k):
    newa = [0 for _ in range(n)]
    for i in range(n):
        l = max(0, i - a[i])
        r = min(n - 1, i + a[i])
        newa[l] += 1
        if r + 1 < n:
            newa[r + 1] -= 1
    a = list(accumulate(newa))
    if all(i == n for i in a):
        break
print(*a)

Fixed submission:
from itertools import accumulate
n, k = map(int, input().split())
a = list(map(int, input().split()))

for _ in range(k):
    newa = [0 for _ in range(n)]
    for i in range(n):
        l = max(0, i - a[i])
        r = min(n - 1, i + a[i])
        newa[l] += 1
        if r + 1 < n:
            newa[r + 1] -= 1
    a = list(accumulate(newa))
    if all(i == n for i in a):
        break
print(*a)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
ans = 1
for i in a:
    ans *= i
    if ans == 0:
        print('0')
        exit()
if ans > 10 ** 18:
    print('-1')
else:
    print(ans)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
a.sort()
if a[0] == 0:
    print('0')
    exit()
ans = 1
for i in range(1, n + 1):
    ans *= a[-i]
    if ans > 10 ** 18:
        print('-1')
        exit()
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
n %= 10
if n == 2 or n == 4 or n == 5 or n == 7 or n == 9:
    print('hon')
elif n == 0 or n == 1 or n == 6 or n == 8:
    print('pon')
else:
    print('bon')2

Fixed submission:
n = int(input())
n %= 10
if n == 2 or n == 4 or n == 5 or n == 7 or n == 9:
    print('hon')
elif n == 0 or n == 1 or n == 6 or n == 8:
    print('pon')
else:
    print('bon')
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
arr = []
ans = 0
for i in range(n):
    s = str(input())
    if s not in arr:
        arr.append(s)
        ans += 1
print(ans)

Fixed submission:
n = int(input())
arr = [str(input()) for _ in range(n)]
arr.sort()
ans = 1
for i in range(1, n):
    if arr[i] != arr[i - 1]:
        ans += 1
print(ans)