qyliang/CodeNanoFix huggingface dataset:
Buggy code:
n,k=map(int,input().split())
h=list(int(input()) for _ in range(n))
a=[]
h.sort(reverse=True)
for i in range(n-k+1):
    if h[i]-h[i+k-1]==0:
        print(0)
        exit()
    a.append(h[i]-h[i+-1])
print(min(a))

Fixed code:
n,k=map(int,input().split())
h=list(int(input()) for _ in range(n))
a=[]
h.sort(reverse=True)
for i in range(0,n-k+1):
    a.append(h[i]-h[i+k-1])
print(min(a))
Buggy code:
N, K = map(int, input().split())
h = sorted([int(input()) for i in range(N)])
res = []
for i in range(N-K+1):
    res.append(tmp[i+K-1] - tmp[i])
print(min(res))

Fixed code:
N, K = map(int, input().split())
h = sorted([int(input()) for i in range(N)])
res = []
for i in range(N-K+1):
    res.append(h[i+K-1] - h[i])
print(min(res))
Buggy code:
# Problem C - Christmas Eve

# input
N, K = map(int, input().split())
h = [0]*N
for i in range(N):
    h[i] = int(input())

# initialization
h = sorted(h)
min_ans = float('INF')
for i in range(N-K):
    tmp_max = h[i+K-1]
    tmp_min = h[i]
    min_ans = min(min_ans, tmp_max - tmp_min)

# output
print(min_ans)


Fixed code:
# Problem C - Christmas Eve

# input
N, K = map(int, input().split())
h = [0]*N
for i in range(N):
    h[i] = int(input())

# initialization
h = sorted(h)
min_ans = float('INF')
for i in range(N-K+1):
    tmp_max = h[i+K-1]
    tmp_min = h[i]
    min_ans = min(min_ans, tmp_max - tmp_min)

# output
print(min_ans)
Buggy code:
n,k=map(int,input().split())
a=[]
for x in range(n):
  a.append(int(input()))
ans=1000000009
sorted(a)
for y in range(n-k):
  ans(a[y+k-1]-a[y],ans)
  
print(ans)

Fixed code:
n,k=map(int,input().split())
a=[]
for x in range(n):
  a.append(int(input()))
ans=1000000009
a=sorted(a)
for y in range(n-k+1):
  ans=min(a[y+k-1]-a[y],ans)
  
print(ans)
Buggy code:
N,K = map(int, input().split())
h = []
for i in range(N):
    h.append(int(input()))
h.sort()
res = 10**9
for i in range(N-K):
    if res > h[i+K-1]-h[i]:
        res = h[i+K-1]-h[i]
print(res)

Fixed code:
N,K = map(int, input().split())
h = []
for i in range(N):
    h.append(int(input()))
h.sort()
res = 10**9
for i in range(N-K+1):
    if res > h[i+K-1]-h[i]:
        res = h[i+K-1]-h[i]
print(res)
Buggy code:
N, K = map(int,input().split())
a = []
for i in range(N):
    a.append(int(input()))
a.sort()
ans = 10**9 + 7
for i in range(N-K):
    if ans > a[K-1+i] - a[i]:
        ans = a[K-1+i] - a[i]
print(ans)

Fixed code:
N, K = map(int,input().split())
a = []
for i in range(N):
    a.append(int(input()))
a.sort()
ans = 10**9 + 7
for i in range(N-K+1):
    if ans > a[K-1+i] - a[i]:
        ans = a[K-1+i] - a[i]
print(ans)
Buggy code:
N,K=map(int,input().split())
L=[]
for i in range(N) :
  L.append(int(input()))
M=[]
for x,y in zip(L,L[K-1:]) :
  M.append(y-x)
print(min(M))

Fixed code:
N,K=map(int,input().split())
L=[]
for i in range(N) :
  L.append(int(input()))
L.sort()
M=[]
for x,y in zip(L,L[K-1:]) :
  M.append(y-x)
print(min(M))
Buggy code:
N, K = map(int,input().split())
h =  [int(input()) for i in range(N)]
h.sort()
m = "a"
for i in range(N - K + 1):
    if m=="a" or m>h[i+K-1]:
        m = h[i+K-1] - h[i]
print(m)

Fixed code:
N,K=list(map(int,input().split()))
h=[int(input()) for i in range(N)]
 
h.sort()
 
m="a"
for i in range(N-K+1):
	if m=="a" or m>h[i+K-1]-h[i]: m=h[i+K-1]-h[i]
 
print(m)
Buggy code:
import collections

n,k = input().split()
n = int(n)
k = int(k)
h =[]
for i in range(n):
    h.append(int(input()))

h = h.sort(reverse=True)
c = collections.Counter(h)
flg = False
for i in c:
    if c[i] >= 3:
        print(0)
        flg = True
        break

diff=[]
for i in range(0,n-k+1,k):
    diff.append(abs(h[i] - h[i+k-1]))
print(min(diff))

Fixed code:
import collections

n,k = input().split()
n = int(n)
k = int(k)
h =[]
for i in range(n):
    h.append(int(input()))

h.sort(reverse=True)
# c = collections.Counter(h)
# flg = False
# for i in c:
#     if c[i] >= k:
#         print(0)
#         flg = True
#         break

diff=[]
for i in range(0,n-k+1):
    diff.append(abs(h[i] - h[i+k-1]))
print(min(diff))
Buggy code:
n,k=map(int,input().split())
h=sorted([int(input()) for _ in range(n)])
x=10**9
for i in range(n-k+1):
  x=min(x,h[i+k]-h[i])
print(x)

Fixed code:
n,k=map(int,input().split())
h=sorted([int(input()) for _ in range(n)])
x=10**9
for i in range(n-k+1):
  x=min(x,h[i+k-1]-h[i])
print(x)
Buggy code:
N,K=[int(i) for i in input().split()]
h=sorted([int(input()) for _ in range(N)])
print(h)

ans=10**9

for i in range(N-2):
    if ans>h[i+2]-h[i]:
        ans=h[i+2]-h[i]
    else:
        continue
print(ans)


Fixed code:
N,K=[int(i) for i in input().split()]
h=sorted([int(input()) for _ in range(N)])

ans=10**9

for i in range(N-K+1):
    if ans>h[i+K-1]-h[i]:
        ans=h[i+K-1]-h[i]
    else:
        continue
print(ans)
Buggy code:
n,k = map(int, input().split())
lst = [int(input()) for _ in range(n)]
lst.sort()
print(min(h[i + k - 1] - h[i] for i in range(n - k + 1)))


Fixed code:
n,k = map(int, input().split())
lst = [int(input()) for _ in range(n)]
lst.sort()
print(min(lst[i + k - 1] - lst[i] for i in range(n - k + 1)))
Buggy code:
N,K = map(int, input().split())
h = [0 for i in  range(N)]
for i in range(N):
    h[i] = int(input())
h.sort()
ans = h[K-1] - h[0]
for i in range(1,N-K):
    ans = min(ans,(h[K-1+i] - h[i]))
print(ans)

Fixed code:
N,K = map(int, input().split())
h = [0 for i in  range(N)]
for i in range(N):
    h[i] = int(input())
h.sort()
ans = h[K-1] - h[0]
for i in range(1,N-K+1):
    ans = min(ans,(h[K-1+i] - h[i]))
print(ans)
Buggy code:
n, k = map(int, input().split())
h = [int(input()) for _ in range(n)]
hMin = 10**9
for i in range(n - k + 1):
    if h[k + i - 1]-h[i] < hMin:
        hMin = h[k + i - 1]-h[i]
print(hMin)


Fixed code:
n, k = map(int, input().split())
h = sorted([int(input()) for _ in range(n)])
hMin = 10**9
for i in range(n - k + 1):
    a = h[k + i - 1]-h[i]
    if a < hMin:
        hMin = a
print(hMin)
Buggy code:
n, k = map(int, input().split())
h=[int(input()) for i in range(n)]
h.sort()
ans=float('inf')
for i in range(n-k):
  d=h[i+k-1]-h[i]
  if d<ans:
    ans=d
print(ans)

Fixed code:
n, k = map(int, input().split())
h=[int(input()) for i in range(n)]
h.sort()
ans=float('inf')
for i in range(n-k+1):
  d=h[i+k-1]-h[i]
  if d<ans:
    ans=d
print(ans)
Buggy code:
h,n = map(int,input().split())
h = [0]*n
for i in range(n):
    h[i] = int(input())
h.sort()
ans = float('inf')
for i in range(n-k):
    ans = min(ans,abs(h[i+k-1]-h[i])
print(ans)


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

h = [0]*n

for i in range(n):

    h[i] = int(input())

h.sort()

ans = float('inf')

for i in range(n-k+1):

    ans = min(ans,abs(h[i+k-1]-h[i]))

print(ans)
Buggy code:
def main(n: int, k: int, h: list):
    h.sort()

    print(min([h[i + k - 1] - h[i] for i in range(n - k + 1)]))


if __name__ == "__main__":
    n, k = map(int, input().split())
    h = [input() for _ in range(n)]

    main(n, k, h)


Fixed code:
def main(n: int, k: int, h: list):
    h.sort()

    print(min([h[i + k - 1] - h[i] for i in range(n - k + 1)]))


if __name__ == "__main__":
    n, k = map(int, input().split())
    h = [int(input()) for _ in range(n)]

    main(n, k, h)
Buggy code:
n,k=map(int,input().split)
a=[]
c=[]
for i in range(n):
    b=int(input())
    a.append(b)
sorted(a)
for u in range(n-1):
    d=a[u+k-1]-a[u]
    c.append(d)
print(min(c))

Fixed code:
n,k = map(int,input().split())
a=[]
c=[]
for i in range(n):
    b=int(input())
    a.append(b)
a.sort()
for u in range(n-k+1):
    d=a[u+k-1]-a[u]
    c.append(d)
print(min(c))
Buggy code:
n,k = input().split()
n=int(n)
k=int(k)
h = [int(input()) for i in range(n)]
h.sort()
#print(h)
ans=10000000000

for i in range(n-k+1):
  list1 = [h[j] for j in range(i,i+k)]
  print(list1)
  if max(list1)-min(list1) < ans:
      ans = max(list1)-min(list1)
print(ans)

Fixed code:
n,k = input().split()
n=int(n)
k=int(k)
h = [int(input()) for i in range(n)]
h.sort()
#print(h)
ans=10000000000

for i in range(n-k+1):
#  list1 = [h[j] for j in range(i,i+k)]
#  print(list1)
  if h[i+k-1]-h[i] < ans:
      ans = h[i+k-1]-h[i]
print(ans)
Buggy code:
s = input().split(" ")
N = int(s[0])
K = int(s[1])

h = []
for i in range(N) : 
    s = input()
    h.append(int(s))
    
h = sorted(h)
minDiff = h[len(h) - 1] - h[0]
for i in range(N) : 
    try : 
        diff = h[len(h) - K + i] - h[i]
        print(f"diff={h[len(h) - K + i]} - {h[i]} = {diff}")
        minDiff = min(minDiff , diff)
        
    except : 
        if i == 0 : minDiff = 0
        continue
print(minDiff)
    

Fixed code:
s = input().split(" ")
N = int(s[0])
K = int(s[1])

h = []
for i in range(N) : 
    s = input()
    h.append(int(s))
    
h = sorted(h)
minDiff = h[len(h) - 1] - h[0]
for i in range(N) : 
    try : 
        diff = h[i + K - 1] - h[i]
        minDiff = min(minDiff , diff)
        
    except : 
        if i == 0 : minDiff = 0
        continue
print(minDiff)
Buggy code:
def getItems(layerCount):
	if layerCount == 0:
		return 1
	return 2*getItems(layerCount-1) + 3

def getPats(layerCount):
	return 2**(layerCount + 1) - 1

def patEaten(layer, toEat):
	pattyCount = 0

	if layer == 1:
		burger = "BPPPB"

		for x in range(toEat):
			if burger[x] == "P":
				pattyCount += 1
		return pattyCount
		
	elif layer == 0:
		if toEat == 1:
			return 1
		else:
			return 0
	
	else:
		items = getItems(layer)
		if toEat == items:
			pattyCount += patEaten(layer, toEat)
      toEat = 0
			return pattyCount
		elif toEat < 2+getItems(layer-1):
			if items + 1 == 2* toEat:
				toEat-=2
				return 1 + patEaten(layer - 1, toEat)
			toEat -= 1
			return patEaten(layer - 1, toEat)
		else:
			toEat -= (1+1+getItems(layer-1))
			pattyCount += 1 + getPats(layer-1)
			
			return pattyCount + patEaten(layer-1, toEat)

#i, j = [int(x) for x in input().split()]
print(patEaten(2,13))
#print(getItems(2))

Fixed code:
def getItems(layerCount):
	if layerCount == 0:
		return 1
	return 2*getItems(layerCount-1) + 3

def getPats(layerCount):
	return 2**(layerCount + 1) - 1

def patEaten(layer, toEat):
	pattyCount = 0

	if layer == 1:
		burger = "BPPPB"

		for x in range(toEat):
			if burger[x] == "P":
				pattyCount += 1
		return pattyCount
		
	elif layer == 0:
		if toEat == 1:
			return 1
		else:
			return 0
	
	else:
		items = getItems(layer)
		if toEat == items:
			pattyCount += getPats(layer)
			return pattyCount
		elif toEat < 2+getItems(layer-1):
			if items + 1 == 2* toEat:
				toEat-=2
				return 1 + patEaten(layer - 1, toEat)
			toEat -= 1
			return patEaten(layer - 1, toEat)
		else:
			toEat -= (1+1+getItems(layer-1))
			pattyCount += 1 + getPats(layer-1)
			
			return pattyCount + patEaten(layer-1, toEat)

i, j = [int(x) for x in input().split()]
#print(patEaten(2,13))
print(patEaten(i,j))
Buggy code:
n,x=map(int,input().split())
a=[(1,1)]
for _ in range(n):
  a+=[(a[-1][0]*2+3,a[-1][1]*2+1)]

if a[-1][0] in (x,x-1):
  print(a[-1][1])
  exit()
a=a[:-1]
s=0
for k in range(1,len(a)*2+1):
  i,j = a[-k // 2]
  x -= (k+1) % 2
  if i <= x:
    x-=i;s+=j
    if x>=1:
      x-=1;s+=1

print(s)


Fixed code:
n,x=map(int,input().split())
a=[(1,1)]
for _ in range(n):
  a+=[(a[-1][0]*2+3,a[-1][1]*2+1)]

if a[-1][0] in (x,x-1):
  print(a[-1][1])
  exit()
a=a[:-1]
s=0
for k in range(1,len(a)*2+1):
  i,j = a[-k // 2]
  x -= k % 2
  if i <= x:
    x-=i;s+=j
    if x>=1:
      x-=1;s+=1

print(s)
Buggy code:
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 code:
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
    else:
        if x <= 1:
            return 0
        elif (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 code:
#!/usr/env/python3
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:
#!/usr/env/python3
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
		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())
     
    pate, slice = [1], [1]
    for _ in range(n + 1):
        pate.append(2 * pate[-1] + 1)
        slice.append(2 * slice[-1] + 3)
     
    ans = 0
    while n > 0:
        if x >= slice[n - 1] + 2:
            ans += pate[n - 1] + 1
            x -= slice[n - 1] + 2
        elif x < slice[n - 1] + 2:
            x -= 1
        n -= 1
    print(ans + (x > 0))

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

pate, slice = [1], [1]
for _ in range(n + 1):
    pate.append(2 * pate[-1] + 1)
    slice.append(2 * slice[-1] + 3)

ans = 0
while n > 0:
    if x >= slice[n - 1] + 2:
        ans += pate[n - 1] + 1
        x -= slice[n - 1] + 2
    elif x < slice[n - 1] + 2:
        x -= 1
    n -= 1
print(ans + (x > 0))
Buggy code:
n,x = map(int,input().split())
size = [1]
pati = [1]
for i in range(n):
    size.append(size[i]*2 + 3)
    pati.append(pati[i]*2 + 1)
ans = 0
for i in range(n):
    if x == 1:
        break
    elif x == size[n-i]:
        ans += pati[n-i]
        break
    elif x == size[n-i-1]+2:
        ans += pati[n-i-1]+1
        break
    elif x > size[n-i-1] + 2:
        ans += pati[n-i-1]+1
        x -= size[n-i-1] + 2
    else:
        x -= 1
if x == 1:
    ans += 1
print(ans)

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

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)
print(f(N, X))

Fixed code:
#115_D
N,X=map(int,input().split())
a=[1]
p=[1]
for i in range(1,N+1):
    a.append(a[i-1]*2+3)
    p.append(p[i-1]*2+1)
def f(n,x):
    if n==0:
        return 1 if x>0 else 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))
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(2*a[i]+3)
    p.append(2*p[i]+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, p = [1], [1]
for i in range(n):
    a.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(n,x)

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

p, a = [1], [1]

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

def f(n,x):
    if x <= 0:
        return 0
    else:
        if n <= 0:
            return min(x, 3)
        else:
            if x > a[n]:
                return p[n] + 1 + f(n-1, x-2-a[n])
            elif x == a[n]:
                return p[n]
            else:
                return f(n-1,x-1)

print(f(n,x))
Buggy code:
n,x=map(int,input().split())
def b(j):
    return 2**(j+2)-3
def p(j):
    return 2**(j+1)-1
def f(n,x):
    if n==0:
        return 1
    elif x<=b(n-1)+1:
        return f(n-1,x-1)
    elif x==b(n-1)+2:
        return p(n-1)+1
    elif 2+b(n-1)<x<=2*b(n-1)+2:
        return p(n-1)+1+f(n-1,x-b(n-1)-2)
    else:
        return 2*p(n-1)+1
print(f(n,x))

Fixed code:
n,x=map(int,input().split())
def b(j):
    return 2**(j+2)-3
def p(j):
    return 2**(j+1)-1
def f(n,x):
    if n==0:
        return 0 if x<=0 else 1
    elif x<=b(n-1)+1:
        return f(n-1,x-1)
    elif x==b(n-1)+2:
        return p(n-1)+1
    elif 2+b(n-1)<x<=2*b(n-1)+2:
        return p(n-1)+1+f(n-1,x-b(n-1)-2)
    else:
        return 2*p(n-1)+1
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)

def f(N, X):
    if N == 0:
        return 1
    elif X == 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:
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:
# coding: utf-8
N, X = map(int, input().split())
ans = 0
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,p=[1],[1]

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

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

print(solve(N,X))




Fixed 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 f(N, X):
    if N<=0:
        if X<=0:
            return 0
        else:
            return 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())

l = [1]
p = [1]

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

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

print(result(n, x))

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

l = [1]
p = [1]

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

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

print(result(n, x))
Buggy code:
N,K = map(int,input().split())
import sys
sys.setrecursionlimit(10000000)

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 
    elif X <= 1 + a[N-1]:
        return dfs(N-1, X-1)
    elif X == 2 + a[N-1]:
        return p[N-1]
    elif X <= 2 + 2*a[N-1]:
        return p[N-1] + 1 + dfs(N-1, X-2-a[N-1])
    else:
        2*p[N-1]+1
    
print(dfs(N,K))

Fixed code:
N,K = map(int,input().split())
import sys
sys.setrecursionlimit(10000000)

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

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

sum_p = [0 for i in range(n + 1)]
sum_dim = [0 for i in range(n + 1)]
sum_p[0] = 1
sum_dim[0] = 1

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


def cal(n, rem):
    if n == 0:
        return 1 if rem == 1 else 0
    elif rem <= 1 + sum_dim[n]:
        return cal(n - 1, rem - 1)
    else:
        return sum_p[n] + 1 + cal(n - 1, rem - 2 - sum_dim[n])


print(cal(n, x))


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

sum_p = [1]
sum_dim = [1]

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


def cal(n, rem):
    if n == 0:
        return 0 if rem<= 0 else 1
    elif rem <= 1 + sum_dim[n-1]:
        return cal(n - 1, rem - 1)
    else:
        return sum_p[n-1] + 1 + cal(n - 1, rem - 2 - sum_dim[n-1])


print(cal(n, x))
Buggy code:
def count(n,x):
    print(n,x)
    if x<=n:
        return 0
    elif x>=2**(n+2)-2-n:
        return 2**(n+1)-1
    elif 2**(n+2)-3 > 2*x:
        return count(n-1,x-1)
    else:
        return 2**n + count(n-1,x-2**(n+1)+1)

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

Fixed code:
def count(n,x):
    if x<=n:
        return 0
    elif x>=2**(n+2)-3-n:
        return 2**(n+1)-1
    elif 2**(n+2)-3 > 2*x:
        return count(n-1,x-1)
    else:
        return 2**n + count(n-1,x-2**(n+1)+1)

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

N,X=map(int,input().split())
b,p = [1 for _ in range(N+1)],[1 for _ in range(N+1)]

for i in range(1,N+1):
    b[i] = b[i-1]*2+3
    p[i] = p[i-1]*2+1
print(b)
print(f(N,X))

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

N,X=map(int,input().split())
b,p = [1 for _ in range(N+1)],[1 for _ in range(N+1)]

for i in range(1,N+1):
    b[i] = b[i-1]*2+3
    p[i] = p[i-1]*2+1
print(f(N,X))