qyliang/CodeNanoFix huggingface dataset:
Buggy code:
def f(n, x):
	if n==0:
		return 0 if x<= 0 else 1
	elif x<=1+a[n-1]:
		return f(n-1,x-1)
	else:
		return p[n-1]+1+f(n-1,x-2-a[n-1])


n,x=map(int, input().split())
a,p=[1],[1]
for i in range(N):
	a.append(a[i] * 2 + 3)
	p.append(p[i] * 2 + 1)
    
print(f(n, x))

Fixed code:
def f(n, x):
	if n==0:
		return 0 if x<= 0 else 1
	elif x<=1+a[n-1]:
		return f(n-1,x-1)
	else:
		return p[n-1]+1+f(n-1,x-2-a[n-1])


n,x=map(int, input().split())
a,p=[1],[1]
for i in range(n):
	a.append(a[i] * 2 + 3)
	p.append(p[i] * 2 + 1)
    
print(f(n, x))
Buggy code:
N, X = (int(i) for i in input().split())  
L = [1]
P = [1]

for _ in range(N):
  L.append(L[-1] * 2 + 3)
  P.append(P[-1] * 2 + 1)

def count(x,n):
  if n == 0:
    return 0 if x <= 0 else 1
  elif x <= L[n-1] + 2:
    return count(x-1, n-1)
  else:
    return P[n-1] + 1 + count(x-(L[n-1]+2),n-1)

#print(L,P)
print(count(X, N))

Fixed code:
N, X = (int(i) for i in input().split())  
L = [1]
P = [1]

for _ in range(N):
  L.append(L[-1] * 2 + 3)
  P.append(P[-1] * 2 + 1)

def count(x,n):
  if n == 0:
    return 0 if x <= 0 else 1
  elif x <= L[n-1] + 1:
    return count(x-1, n-1)
  else:
    return P[n-1] + 1 + count(x-(L[n-1]+2),n-1)

#print(L,P)
print(count(X, N))
Buggy code:
# -*- coding: utf-8 -*-                                                                              

N, X = map(int, input().split())

a, p = [1], [1]

for i in range(N):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)


def f(N, X):
    if N == 0:
	return 0 if X <= 0 else	1
    elif X <= 1	+ a[N-1]:
        return f(N-1, X-1)
    else:
        return p[N-1] +	1 + f(N-1, X-2-a[N-1])


print(f(N, X))


Fixed code:
# -*- coding: utf-8 -*-                                                                              

N, X = map(int, input().split())

a, p = [1], [1]

for i in range(N):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)


def f(N, X):
    if N == 0:
        return 0 if X <= 0 else 1
    elif X <= 1 + a[N-1]:
        return f(N-1, X-1)
    else:
        return p[N-1] + 1 + f(N-1, X-2-a[N-1])


print(f(N, X))
Buggy code:
n,x=map(int,input().split())

a=[1]
p=[1]

for i in range(n):
    a.append(a[i]*2+3)
    p.append(p[i]*2+1)

def bur(n,x):
    if n==0:
        if x==0:
            return 0
        else:
            return 1
    elif 1<=x<=(1+a[n-1]):
        return bur(n-1,x-1)
    elif x==2+a[n-1]:
        return p[n-1]+1
    elif (2+a[n-1])<=x<=2+2*a[n-1]:
        return p[n-1]+1+bur(n-1,x-2-a[n-1])
    else:
        return 2*p[n-1]+1

print(bur(n,x))


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

a, p = [1], [1]
for i in range(n):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)

def rec(n, x, a, p):
    if n == 0:
        return 0 if x <= 0 else 1
    elif x <= 1 + a[n - 1]:
        return rec(n - 1, x - 1, a, p)
    else:
        return p[n - 1] + 1 + rec(n - 1, x - 2 - a[n - 1], a, p)

ans = rec(n, x, a, p)
print(ans)
Buggy code:
n_x = input()
n_x_list =n_x.split(' ')

N = int(n_x_list[0])
X = int(n_x_list[1])

# g_list = [''] * N
# def G(N):
#     if N == 0:
#         return 'p'
#
#     gn_1 = G(N-1)
#
#     return 'b' + gn_1 + 'p' + gn_1 + 'b'

# g_n = G(N)
# print(g_n)
# eaten_burger = g_n[0:X]
# print(eaten_burger)
# ans = eaten_burger.count('p')
# print(ans)

def L(N):
    return 2 ** (N+2) - 3

def P(N):
    return 2 ** (N+1) - 1

def solve(N, X):
    half_l = int(P(N) / 2)
    if N == 0:
        return 1

    if half_l > X:
        return solve(N - 1, X - 1)
    elif half_l == X:
        return P(N-1)
    elif half_l + 1 == X:
        return P(N-1) + 1
    elif half_l + 1 < X:
        return P(N-1) + 1 + solve(N-1, (X - L(N-1) - 2))
    elif half_l * 2 + 1 == X:
        return 2 * P(N-1) + 1


ans = solve(N, X)
print(ans)


Fixed code:
n_x = input()
n_x_list =n_x.split(' ')

N = int(n_x_list[0])
X = int(n_x_list[1])

# g_list = [''] * N
# def G(N):
#     if N == 0:
#         return 'p'
#
#     gn_1 = G(N-1)
#
#     return 'b' + gn_1 + 'p' + gn_1 + 'b'

# g_n = G(N)
# print(g_n)
# eaten_burger = g_n[0:X]
# print(eaten_burger)
# ans = eaten_burger.count('p')
# print(ans)

def L(N):
    return 2 ** (N+2) - 3

def P(N):
    return 2 ** (N+1) - 1

def solve(N, X):
    half_l = int(L(N) / 2)
    if N == 0 and X >= 1:
        return 1
    elif N == 0 and X == 0:
        return 0

    if half_l <= 1:
        return 0
    elif X < half_l:
        return solve(N - 1, X - 1)
    elif X == half_l:
        return P(N-1)
    elif X == half_l + 1:
        return P(N-1) + 1
    elif half_l + 1 < X:
        return P(N-1) + 1 + solve(N-1, (X - L(N-1) - 2))
    elif half_l * 2 + 3 == X:
        return 2 * P(N-1) + 1


ans = solve(N, X)
print(ans)
Buggy code:
import sys

sys.setrecursionlimit(10 ** 7)
f_inf = float('inf')
mod = 10 ** 9 + 7


def resolve():
    n, x = map(int, input().split())
    a, p = [1], [1]
    for i in range(n):
        a.append(a[i] * 2 + 3)
        p.append(p[i] * 2 + 1)

    def solve(n, x):
        if n == 0:
            return 1 if x == 1 else 0
        elif 1 + a[n - 1] // 2 <= x:
            return p[n - 1] + 1 + solve(n - 1, x - 2 - a[n - 1])
        else:
            return solve(n - 1, x - 1)

    print(solve(n, x))


if __name__ == '__main__':
    resolve()


Fixed code:
import sys

sys.setrecursionlimit(10 ** 7)
f_inf = float('inf')
mod = 10 ** 9 + 7


def resolve():
    n, x = map(int, input().split())
    a, p = [1], [1]
    for i in range(n):
        a.append(a[i] * 2 + 3)
        p.append(p[i] * 2 + 1)

    def solve(n, x):
        if n == 0:
            return 1 if x == 1 else 0

        if x < 2:
            return 0

        if a[n] - 1 <= x:
            return p[n]

        if 1 + a[n] // 2 < x:
            return p[n - 1] + 1 + solve(n - 1, x - (a[n] // 2 + 1))
        elif 1 + a[n] // 2 == x:
            return p[n - 1] + 1
        else:
            return solve(n - 1, x - 1)

    print(solve(n, x))


if __name__ == '__main__':
    resolve()
Buggy code:
import sys
sys.setrecursionlimit(10**5)

def solve(n, x):
  if n == 0:
    if x > 1:
      return 1
    else:
      return 0
  else:
    ans = 0
    burger_prev = 2**(n+1)-3
    pate_prev = 2**n-1
    if x > 1:
      if x < burger_prev+1:
        ans += solve(n-1 ,x-1)
      else:
        ans += pate_prev
        if x > burger_prev+2:
          ans += 1
          if x > burger_prev*2+2:
            ans += pate_prev
          else:
            ans += solve(n-1, x-2-burger_prev)
    return ans

N, X = map(int, input().split())
print(solve(N, X))



Fixed code:
import sys
sys.setrecursionlimit(10**5)

def solve(n, x):
  if n == 0:
    if x > 0:
      return 1
    else:
      return 0
  else:
    ans = 0
    burger_prev = 2**(n+1)-3
    pate_prev = 2**n-1
    if x > 1:
      if x < burger_prev+1:
        ans += solve(n-1 ,x-1)
      else:
        ans += pate_prev
        if x > burger_prev+1:
          ans += 1
          if x > burger_prev*2+2:
            ans += pate_prev
          else:
            ans += solve(n-1, x-2-burger_prev)
    return ans

N, X = map(int, input().split())
print(solve(N, X))
Buggy code:
n,x=map(int,input().split())
a=[1]
p=[1]
for i in range(n-1):
    a.append(a[i]*2+3)
    p.append(p[i]*2+1)
def f(n,x):
  if n==0 and x=1:
    return 1
  elif n==0:
    return 0
  elif x<=1+a[n-1]:
    return f(n-1,x-1)
  else:
    return p[n-1]+1+f(n-1,x-2-a[n-1])
print(f(n,x))

Fixed code:
def f(n, x):
    if n == 0:
        return 0 if x <= 0 else 1
    elif x <= (a[n-1] + 1):
        return f(n - 1, x - 1)
    else:
        return p[n - 1] + 1 + f(n - 1, x - 2 - a[n - 1])


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

a, p=[1],[1]
for i in range(n):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)
    
print(f(n, x))
Buggy code:
N, X = map(int, input().split())

a, p = [1], [0]
for i in range(N):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)

def f(N, X):
    if N == 0:
        return 0 if X <= 0 else 1
    elif X <= 1 + a[N-1]:
        return f(N-1, X-1)
    else:
        return p[N-1] + 1 + f(N-1, X-2-a[N-1])

print(f(N, X))

Fixed code:
N, X = map(int, input().split())

a, p = [1], [1]
for i in range(N):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)

def f(N, X):
    if N == 0:
        return 0 if X <= 0 else 1
    elif X <= 1 + a[N-1]:
        return f(N-1, X-1)
    else:
        return p[N-1] + 1 + f(N-1, X-2-a[N-1])

print(f(N, X))
Buggy code:
a = list(map(int, input().split()))

c = a[1]
res = 0

b = [[5,3,1]]
for i in range(1,a[0]+1):
    tmp = [b[i-1][0]*2+3,b[i-1][1]*2+1,i+1]
    b.append(tmp)

for i in range(50-1,0,-1):
    c = c - 1
    if b[i][0] < c:
        c = c - b[i][0] - 1
        res = res + b[i][1] + 1
if c == 1:
    res = res + 1

print(res)


Fixed code:
a = list(map(int, input().split()))
c = a[1]
res = 0

b = [[5,3,1]]
for i in range(1,a[0]):
    tmp = [b[i-1][0]*2+3,b[i-1][1]*2+1,i+1]
    b.append(tmp)

for i in range(a[0]-1,-1,-1):
    if b[i][0] * 2 + 1 <= c:
        c = c - b[i][0]*2 - 1
        res = res + b[i][1] * 2 + 1
    elif b[i][0] <= c: 
        c = c - b[i][0]
        res = res + b[i][1]
        if c > 0:
            c = c - 1
            res = res + 1
    c = c - 1

if c > 0:
    res = res + c

print(res)
Buggy code:
n, x = map(int, input().split())

answer = 0
red = x

searching_index = n
while red > 0:
    for i in reversed(range(searching_index + 1)):
        length = 2**(i + 2) - 3
        if red >= length:
            print("length", length, red)
            if red >= length + 1:
                print("contain p")
                answer += 1
                red -= 1
            searching_index = i
            answer += 2**(i+1) - 1
            red -= length
            print(answer, length)
            break
        red -= 1

print(answer)

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

answer = 0
red = x

searching_index = n
while red > 0:
    for i in reversed(range(searching_index + 1)):
        length = 2**(i + 2) - 3
        if red >= length:
            if red >= length + 1:
                answer += 1
                red -= 1
            searching_index = i
            answer += 2**(i+1) - 1
            red -= length
            break
        red -= 1

print(answer)
Buggy code:
n,x=map(int,input().split())
pati_kazu=[1]
atsusa=[1]
for i in range(n):
    pati_kazu.append(pati_kazu[i]*2+1)
    atsusa.append(atsusa[i]*2+3)

def dfs(level,z):
    if level==0:
        return 0 if z<=0 else 1
    elif z==(2+atsusa[level-1]):
        return 1+pati_kazu[level-1]
    elif z==(3+atsusa[level-1]*2):
        return pati_kazu[level-1]*2+1
    elif 1<z<=(1+atsusa[level-1]):
        return dfs(level-1,z-1)
    else:
        return 1+pati_kazu[level-1]+dfs(level-1,z-2-atsusa[level-1])

print(dfs(n,x))

Fixed code:
n,x=map(int,input().split())
pati_kazu=[1]
atsusa=[1]
for i in range(n):
    pati_kazu.append(pati_kazu[i]*2+1)
    atsusa.append(atsusa[i]*2+3)

def dfs(level,z):
    if level==0:
        return 0 if z<=0 else 1
    elif z<=(1+atsusa[level-1]):
        return dfs(level-1,z-1)
    else:
        return 1+pati_kazu[level-1]+dfs(level-1,z-2-atsusa[level-1])

print(dfs(n,x))
Buggy code:
n,x = map(int,input().split())
a,p = [1],[1]
for i in range(n):
  a.append(2*a[i]+3)
  p.append(2*p[i]+1)

def f(N,X):
  if N==1:
    return 0 if X<=0 else 1
  elif X <= 1+a[N-1]:
    return f(N-1,X-1)
  else:
    return p[N-1]+1+f(N-1,X-2-a[N-1])
print(f(n,x))

  

Fixed code:
N, X = map(int, input().split())

a, p = [1], [1]
for i in range(N):
  a.append(a[i] * 2 + 3)
  p.append(p[i] * 2 + 1)

def f(N, X):
  if N == 0:
    return 0 if X <= 0 else 1
  elif X <= 1 + a[N-1]:
    return f(N-1, X-1)
  else:
    return p[N-1] + 1 + f(N-1, X-2-a[N-1])
  
print(f(N, X))
Buggy code:
n, x = map(int, input().split())

patties, layers = [1], [1]
for i in range(n):
    patties += [patties[-1] * 2 + 1]
    layers += [layers[-1] * 2 + 3]
print(patties, layers)

def solve(N, cur):
    if N == 0:
        return 1 if cur > 0 else 0
        
    return solve(N-1, cur-1) if cur <= (layers[N] // 2) else solve(N-1, (cur-layers[N-1])-2) + patties[N-1] + 1

print(solve(n,x))

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

patties, layers = [1], [1]
for i in range(n):
    patties += [patties[-1] * 2 + 1]
    layers += [layers[-1] * 2 + 3]

def solve(N, cur):
    if N == 0:
        return 1 if cur > 0 else 0
        
    return solve(N-1, cur-1) if cur <= (layers[N] // 2) else solve(N-1, (cur-layers[N-1])-2) + patties[N-1] + 1

print(solve(n,x))
Buggy code:
n, x = map(int, input().split())

layers, patties = [1],[1]
for i in range(n):
    layers.append(layers[-1] * 2 + 3)
    patties.append(patties[-1] * 2 + 1)

def solve(cur, level):
    if level == 0:
        return 1 if cur == 1 else 0
    elif (layers[level] // 2) + 1 >= cur:
        return solve(cur - 1, level - 1)
    else:
        return solve(cur - layers[level-1] - 2, level - 1) + patties[level-1] + 1

print(solve(x,n))

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

layers, patties = [1],[1]
for i in range(n):
    layers.append(layers[-1] * 2 + 3)
    patties.append(patties[-1] * 2 + 1)

def solve(cur, level):
    if level == 0:
        return 1 if cur > 0 else 0
    elif (layers[level] // 2) >= cur:
        return solve(cur - 1, level - 1)
    else:
        return solve(cur - layers[level-1] - 2, level - 1) + patties[level-1] + 1

print(solve(x,n))
Buggy code:
# coding: utf-8

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

l,p = [1],[1]
for i in range(n):
    l.append(a[i]*2+3)
    p.append(a[i]*2+1)

def f(n,x):
    if n == 0:
        return 0 if x <= 0 else 1
    elif x <= 1 + a[n-1]:
        return f(n-1,x-1)
    else:
        return p[n-1]+1+f(n-1,x-2-a[n-1])

print(f(n,x))


Fixed code:
# coding: utf-8

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

l,p = [1],[1]
for i in range(n):
    l.append(l[i]*2+3)
    p.append(p[i]*2+1)

def f(n,x):
    if n == 0:
        return 0 if x <= 0 else 1
    elif x <= 1 + l[n-1]:
        return f(n-1,x-1)
    else:
        return p[n-1]+1+f(n-1,x-2-l[n-1])

print(f(n,x))
Buggy code:
N, X = map(int, input().split())
burger  = [1] * (N+1)
patty = [1] * (N+1)
for i in range(1, N+1):
    burger[i] = burger[i-1] * 2 + 3
    patty[i] = patty[i-1] * 2 + 1


def func(level, x):
    if burger[level-1] + 1 <= x:
        return func(level-1, x-burger[level-1]-2) + patty[level-1] + 1
    else:
        return func(level-1, x-1)
    if level == 0:
        return 0


print(func(N, X))


Fixed code:
N, X = map(int, input().split())
burger  = [1] * N
patty = [1] * N
for i in range(1, N):
    burger[i] = burger[i-1] * 2 + 3
    patty[i] = patty[i-1] * 2 + 1


def func(level, x):
    if level == 0:
        return 0 if x <= 0 else 1
    if burger[level-1] + 1 < x:
        return func(level-1, x-burger[level-1]-2) + patty[level-1] + 1
    else:
        return func(level-1, x-1)


print(func(N, X))
Buggy code:
import sys
sys.setrecursionlimit(10**7)
input = sys.stdin.readline
INF = float('inf')
MOD = 10**9+7
dy = [0,1,0,-1]
dx = [1,0,-1,0]
ddy = [0,1,1,1,0,-1,-1,-1]
ddx = [1,1,0,-1,-1,-1,0,1]

n,x = map(int,input().split())
P = [1]
L = [1]
for i in range(n):
    P.append(P[-1]*2+1)
    L.append(L[-1]*2+3)

def f(N,X):
    if N == 0:
        return 1
    elif X <= 1 + L[N-1]:
        return f(N-1,X-1)
    else:
        return P[N-1]+1+f(N-1,X-2-L[N-1])

print(f(n,x))

Fixed code:
import sys
sys.setrecursionlimit(10**7)
input = sys.stdin.readline
INF = float('inf')
MOD = 10**9+7
dy = [0,1,0,-1]
dx = [1,0,-1,0]
ddy = [0,1,1,1,0,-1,-1,-1]
ddx = [1,1,0,-1,-1,-1,0,1]

n,x = map(int,input().split())
P = [1]
L = [1]
for i in range(n):
    P.append(P[-1]*2+1)
    L.append(L[-1]*2+3)

def f(N,X):
    if N == 0:
        if X <= 0:
            return 0
        else:
            return 1
    elif X <= 1 + L[N-1]:
        return f(N-1,X-1)
    else:
        return P[N-1]+1+f(N-1,X-2-L[N-1])

print(f(n,x))
Buggy code:
def L(N):
    if N==0:
        return 1
    else:
        prev_L = L(N-1)
        return 1+prev_L+1+prev_L+1
def numP(N):
    if N==0:
        return 1
    else:
        prev_P = numP(N-1)
        return 2*prev_P+1
def eated_P(N,X):
    ans = 0
    fh=int(L(2)/2)
    if X==0:
        return 0
    elif N==0:
        return 1
    elif fh<X:
        ans = numP(N-1)+1+eated_P(N-1,X-fh-1)
        return ans
    else:
        ans = eated_P(N-1,X-N-1)
        return ans
N,X = map(int(), input().split())
print(eated_P(N,X))

Fixed code:
def L(N):
    if N==0:
        return 1
    else:
        prev_L = L(N-1)
        return 1+prev_L+1+prev_L+1
def numP(N):
    if N==0:
        return 1
    else:
        prev_P = numP(N-1)
        return 2*prev_P+1
def eated_P(N,X):
    ans = 0
    fh=int(L(N)/2)
    if X<=0:
        return 0
    elif N==0:
        return 1
    elif fh<X:
        ans = numP(N-1)+1+eated_P(N-1,X-fh-1)
        return ans
    else:
        rem = X-1
        ans = eated_P(N-1,rem)
        return ans
N,X = map(int,input().split())
print(eated_P(N,X))
Buggy code:
n, x = map(int, input().split())
def get_len(lv):
  m = 1
  for i in range(lv):
    m = m * 2 + 5
  return m  
def count_p(lv, p):
  if p == 0:return 0
  elif lv == 0:return 1
  m = get_len(lv)
  if p > (m-1)/2:
    return (m-1)/2 + 1 - count_p(lv, m-p)
  else:
    return count_p(lv-1,p-1)
print(int(count_p(n, x)))

Fixed code:
n, x = map(int, input().split())
def get_len(lv):
  m = 1
  for i in range(lv):
    m = m * 2 + 3
  return m  
def count_p(lv, p):
  if p <= lv:return 0
  elif lv == 0:return 1
  m = get_len(lv)
  if p > (m-1)/2:
    return (m-1)/2 + 1 - count_p(lv, m-p)
  else:
    return count_p(lv-1,p-1)
print(int(count_p(n, x)))
Buggy code:
N, X = map(int, input().split())

a, p = [1], [1]

for i in range(N):
	a.append(a[i] * 2 + 3)
	p.append(p[i] * 2 + 1)

def f(N, X):
	if N == 0:
		return 0 if X <= 0 else 1
	elif X <= 1 + a[N+1]:
		return f(N-1, X-1)
	else:
		return p[N-1] + 1 + f(N-1, X-2-a[N-1])

print(f(N, X))

Fixed code:
N, X = map(int, input().split())

a, p = [1], [1]

for i in range(N):
	a.append(a[i] * 2 + 3)
	p.append(p[i] * 2 + 1)

def f(N, X):
	if N == 0:
		return 0 if X <= 0 else 1
	elif X <= 1 + a[N-1]:
		return f(N-1, X-1)
	else:
		return p[N-1] + 1 + f(N-1, X-2-a[N-1])

print(f(N, X))
Buggy code:
p = lambda n:2**(n+1)-1
a = lambda n:2**(n+2)-3


def dfs(n,x):
    if x==1:
        return 0
    if 1< x <= 1+a(n-1):
        return dfs(n-1,x-1)
    if x==(a(n-1)+2):
        return p(n-1) +1
    if 2+a(n-1)< x <=2+2*a(n-1):
        return p(n-1) + dfs(n-1, x-2-a(n-1))
    if x==3+2*a(n-1):
        return 2*p(n-1)+1

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


Fixed code:
p = lambda n:2**(n+1)-1
a = lambda n:2**(n+2)-3


def dfs(n,x):
    if n==0:
        return 0 if x<=0 else 1
    if x<=1+a(n-1):
        return dfs(n-1,x-1)
    else:
        return p(n-1)+1 + dfs(n-1,x-2-a(n-1))

n, x = map(int, input().split())
print(dfs(n,x))
Buggy code:
N, X = map(int, input().split())

size = [1]
patty = [1]
for i in range(N):
    size.append(size[i]*2 + 3)
    patty.append(patty[i]*2 + 1)

def f(N, X):
    if N == 0:
        return 0 if X == 0 else 1
    if X <= size[N-1] + 1:
        return f(N-1, X-1)
    if X == size[N-1] + 2:
        return f(N-1, X-1) + 1
    if X >= size[N-1] + 3:
        return patty[N-1] + 1 + f(N-1, X-1)
print(f(N,X))


Fixed code:
N, X = map(int, input().split())

size = [1]
patty = [1]
for i in range(N):
    size.append(size[i]*2 + 3)
    patty.append(patty[i]*2 + 1)

def f(N, X):
    if N == 0:
        return 0 if X <= 0 else 1
    elif X <= size[N-1] + 1:
        return f(N-1, X-1)
    elif X == size[N-1] + 2:
        return patty[N-1] + 1
    elif X >= size[N-1] + 3:
        return patty[N-1] + 1 + f(N-1, X-size[N-1]-2)
print(f(N,X))
Buggy code:
n, x = map(int, input().split())

a,p = [1],[1] for i in range(N):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)

deff(N, X):
        return 0 if X <= 0 else 1
    elif X <= 1 + a[N - 1]:
        return f(N - 1, X - 1)
    else:
        return p[N - 1] + 1 + f(N - 1, X - 2 - a[N - 1])

print(f(N, X))


Fixed code:
n, x = map(int, input().split())
a, p = [1], [1]
for i in range(n):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)


def f(N, X):
    if N == 0:
        return 0 if X <= 0 else 1
    elif X <= 1 + a[N-1]:
        return f(N-1, X-1)
    else:
        return p[N-1] + 1 + f(N-1, X - 2 - a[N-1])


print(f(N=n, X=x))
Buggy code:
n, eat = map(int, input().split())

pattiesCount = lambda level: (1 << (level + 1)) - 1
bunsCount = lambda level: (1 << (level + 1)) - 2
bothCount = lambda level: (1 << (level + 2)) - 3

# for i in range(51):
#     if bothCount(i) != pattiesCount(i) + bunsCount(i):
#         raise Exception()
#     print(i, '->', pattiesCount(i), bunsCount(i), bothCount(i))

def doit(level, eat):
    if level == 0:
        return int(eat == 1)
    both = bothCount(level)
    patties = pattiesCount(level)
    if eat == both + 2:
        return 1 + patties
    if eat > both + 1:
        return 1 + patties + doit(level - 1, eat - 2 - both)
    return doit(level - 1, eat - 1)

print(doit(n, eat))


Fixed code:
n, eat = map(int, input().split())

pattiesCount = lambda level: (1 << (level + 1)) - 1
bunsCount = lambda level: (1 << (level + 1)) - 2
bothCount = lambda level: (1 << (level + 2)) - 3

# for i in range(51):
#     if pattiesCount(i) != p[i]:
#         raise Exception()
#     print(i, '->', pattiesCount(i), bunsCount(i), bothCount(i))

def doit(level, eat):
    if level == 0:
        return int(eat >= 1)
    both = bothCount(level - 1)
    patties = pattiesCount(level - 1)
    if eat == both + 2:
        return 1 + patties
    if eat > both + 1:
        return 1 + patties + doit(level - 1, eat - 2 - both)
    return doit(level - 1, eat - 1)

print(doit(n, eat))
Buggy code:
n,x = map(int, input().split())

b = [[1,1]]

for i in range(n):
    b.append([b[-1][0]*2+3, b[-1][1]*2+1])

print(b)

ans = 0
for i in range(len(b)):
    if x >= b[-1-i][0]:
        x -= b[-1-i][0]
        ans += b[-1-i][1]
        if x > 0:
            x-=1
            ans += 1
        if x>=b[-1-i][0]:
            x -= b[-1 - i][0]
            ans += b[-1 - i][1]
            break
    x-=1
    if x<=0:
        break

print(ans)

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

b = [[1,1]]

for i in range(n):
    b.append([b[-1][0]*2+3, b[-1][1]*2+1])

ans = 0
for i in range(len(b)):
    if x >= b[-1-i][0]:
        x -= b[-1-i][0]
        ans += b[-1-i][1]
        if x > 0:
            x-=1
            ans += 1
        if x>=b[-1-i][0]:
            x -= b[-1 - i][0]
            ans += b[-1 - i][1]
            break
    x-=1
    if x<=0:
        break

print(ans)
Buggy code:
N, X = map(int, input().split())

a, p = [1], [1]
for i in range(N):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)

def f(N, X): 
if N == 0:
    return 0 if X <= 0 else 1
elif X <= 1 + a[N-1]:
    return f(N-1, X-1)
else:
    return p[N-1] + 1 + f(N-1, X-2-a[N-1])

print(f(N, X))

Fixed code:
N, X = map(int, input().split())
a, p = [1], [1]
for i in range(N):
  a.append(a[i]*2+3)
  p.append(p[i]*2+1)

def dfs(N, X):
  if N == 0:
    return 0 if X <= 0 else 1
  elif X <= a[N-1] + 1:
    return dfs(N-1, X-1)
  else:
    return p[N-1] + 1 + dfs(N-1, X-a[N-1]-2)
  
print(dfs(N, X))
Buggy code:
n, x = map(int, input().split())

position = 2**(n+2)-3
print(position)
result = 0
while x > 0:
    position = (position-1)//2
    if x > position:
        x -= position
        result += position//2+1
    x -= 1
    position -= 1
print(result)

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

position = 2**(n+2)-3
result = 0
while x > 0:
    position = (position-1)//2
    if x == position*2+1:
        result += position + 1
        x = 0
    elif x == position+1:
        result += position//2 + 1
        x = 0
    elif x > position:
        x -= position
        result += position//2+1
    x -= 1
    position -= 1
print(result)