Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
l=["p"]
i=0
while len(l)<m:
  i+=1
  l=["b"]+l+["p"]+l+["b"]
for j in range(n-i):
  l=["b"]+l
c=0
for i in range(m):
  if l[i]=="p":
    c+=1
print(c)


Fixed submission:
n,x=map(int,input().split())
plist=[1]
blist=[1]
for i in range(n):
  plist.append(plist[-1]*2+1)
  blist.append(blist[-1]*2+3)
def patty(n,x):
  if n==0:
    return 1
  else:
    if x==1:
      return 0
    elif 1<x and x<=blist[n-1]+1:
      return patty(n-1,x-1)
    elif x==blist[n-1]+2:
      return plist[n-1]+1
    elif 2+blist[n-1]<x and 2*blist[n-1]+2>=x:
      return plist[n-1]+patty(n-1,x-2-blist[n-1])+1
    else:
      return plist[n]
print(patty(n,x))

Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
l=["p"]
i=0
while len(l)<m:
  i+=1
  l=["b"]+l+["p"]+l+["b"]
for j in range(n-i):
  l=["b"]+l
c=0
for i in range(m):
  if l[i]=="p":
    c+=1
print(c)

Fixed submission:
n,x=map(int,input().split())
plist=[1]
blist=[1]
for i in range(n):
  plist.append(plist[-1]*2+1)
  blist.append(blist[-1]*2+3)
def patty(n,x):
  if n==0:
    return 1
  else:
    if x==1:
      return 0
    elif 1<x and x<=blist[n-1]+1:
      return patty(n-1,x-1)
    elif x==blist[n-1]+2:
      return plist[n-1]+1
    elif 2+blist[n-1]<x and 2*blist[n-1]+2>=x:
      return plist[n-1]+patty(n-1,x-2-blist[n-1])+1
    else:
      return plist[n]
print(patty(n,x))

Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
l=["p"]
i=0
while len(l)<x:
  i+=1
  l=["b"]+l+["p"]+l+["b"]
for j in range(n-i):
  l=["b"]+l
c=0
for i in range(x):
  if l[i]=="p":
    c+=1
print(c)

Fixed submission:
n,x=map(int,input().split())
plist=[1]
blist=[1]
for i in range(n):
  plist.append(plist[-1]*2+1)
  blist.append(blist[-1]*2+3)
def patty(n,x):
  if n==0:
    return 1
  else:
    if x==1:
      return 0
    elif 1<x and x<=blist[n-1]+1:
      return patty(n-1,x-1)
    elif x==blist[n-1]+2:
      return plist[n-1]+1
    elif 2+blist[n-1]<x and 2*blist[n-1]+2>=x:
      return plist[n-1]+patty(n-1,x-2-blist[n-1])+1
    else:
      return plist[n]
print(patty(n,x))

Buggy python submission (verdict: Runtime Error):
n , k=map(int,input().split())
l="p"
b=0
for o in range(0,n):
 l="b"+l+"p"+l+"b"
p=list(l)
for t in range(0,k):
 if p[t]=="p":
  b+=1
print(b)

Fixed submission:
n,x=map(int,input().split())
plist=[1]
blist=[1]
for i in range(n):
  plist.append(plist[-1]*2+1)
  blist.append(blist[-1]*2+3)
def patty(n,x):
  if n==0:
    return 1
  else:
    if x==1:
      return 0
    elif 1<x and x<=blist[n-1]+1:
      return patty(n-1,x-1)
    elif x==blist[n-1]+2:
      return plist[n-1]+1
    elif 2+blist[n-1]<x and 2*blist[n-1]+2>=x:
      return plist[n-1]+patty(n-1,x-2-blist[n-1])+1
    else:
      return plist[n]
print(patty(n,x))

Buggy python submission (verdict: Runtime Error):
n , k=map(int,input().split())
l="p"
b=0
for o in range(0,n):
 l="b"+l+"p"+l+"b"
p=list(l)
for t in range(0,k):
 if p[t]==b:
  pass
 elif p[t]==p:
  b+=1
print(b)
 


Fixed submission:
n,x=map(int,input().split())
plist=[1]
blist=[1]
for i in range(n):
  plist.append(plist[-1]*2+1)
  blist.append(blist[-1]*2+3)
def patty(n,x):
  if n==0:
    return 1
  else:
    if x==1:
      return 0
    elif 1<x and x<=blist[n-1]+1:
      return patty(n-1,x-1)
    elif x==blist[n-1]+2:
      return plist[n-1]+1
    elif 2+blist[n-1]<x and 2*blist[n-1]+2>=x:
      return plist[n-1]+patty(n-1,x-2-blist[n-1])+1
    else:
      return plist[n]
print(patty(n,x))