Buggy python submission (verdict: Runtime Error):
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1


intN = int(X, 2)
if l >1:
  N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':
      if l == 1:
        ans[k] = 0
        ia =0
      else:  
        ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1


intN = int(X, 2)
if l >1:
  N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()

else:
  for k in range(N):
    if X[k] == '1':
      if l == 1:
        ans[k] = 0
        ia =0
      else:  
        ia = (N1 - pow(2,N-k-1))%(l-1)
    else:
      ia = (N0 + pow(2, N-k-1))%(l+1)
    start.append(ia)
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1


intN = int(X, 2)
if l >1:
  N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()

else:
  for k in range(N):
    if X[k] == '1':
      if l == 1:
        ans[k] = 0
        ia =0
      else:  
        ia = (N1 - pow(2,N-k-1))%(l-1)
    else:
      ia = (N0 + pow(2, N-k-1))%(l+1)
    start.append(ia)

ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1


for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % poplist[start[k]]

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1


intN = int(X, 2)
if l >1:
  N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()

else:
  for k in range(N):
    if X[k] == '1':
      if l == 1:
        ans[k] = 0
        ia =0
      else:  
        ia = (N1 - pow(2,N-k-1))%(l-1)
    else:
      ia = (N0 + pow(2, N-k-1))%(l+1)
    start.append(ia)

ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1


for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % poplist[start[k]]

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1


intN = int(X, 2)
if l >1:
  N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()

else:
  for k in range(N):
    if X[k] == '1':
      if l == 1:
        ans[k] = 0
        ia =0
      else:  
        ia = (N1 - pow(2,N-k-1))%(l-1)
    else:
      ia = (N0 + pow(2, N-k-1))%(l+1)
    start.append(ia)

ml = len(bin(l+1))-2
poplist = [[] for _ in range(ml)]
poplist[0] = [0,1]
for k in range(1, ml):
  for m in range(k):
    poplist[k] += poplist[m]
  for m in range(len(poplist[k])):
    poplist[k][m] += 1

newpoplist = []
for _ in range(len(poplist)):
  newpoplist += poplist[_] 

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % newpoplist[start[k]]

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1


intN = int(X, 2)
if l >1:
  N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
  start.append(ia)

else:
  for k in range(N):
    if X[k] == '1':
      if l == 1:
        ans[k] = 0
        ia =0
      else:  
        ia = (N1 - (2**(N-k-1)))%(l-1)
    else:
      ia = (N0 + (2**(N-k-1)))%(l+1)
    start.append(ia)

ml = len(bin(l+1))-2
poplist = [[] for _ in range(ml)]
poplist[0] = [0,1]
for k in range(1, ml):
  for m in range(k):
    poplist[k] += poplist[m]
  for m in range(len(poplist[k])):
    poplist[k][m] += 1

newpoplist = []
for _ in range(len(poplist)):
  newpoplist += poplist[_] 

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % newpoplist[start[k]]

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [1 for _ in range(N)]

def popcount(n):
  c = 0
  n = str(bin(n))[2:]
  for _ in range(len(n)):
    if n[_] == '1':
      c += 1
  return c

l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
firstpop = [l for _ in  range(N)]

intN = int(X, 2)

start = []
if N == 1:
  if X[0] == '1':
    ia = 0
    firstpop[0] -= 1
  else:
    ia = 1
    firstpop[0] += 1
  start.append(ia)

else:
  for k in range(N):
    if X[k] == '1':
      ia = intN - 2**(N-k-1)
      firstpop[k] -= 1
    else:
      ia = intN + 2**(N-k-1)
      firstpop[k] += 1
    start.append(ia)
"""
mp = l + 1
poplist = [0]
for _ in range(1, mp):
  poplist.append(popcount(_))
"""

for k in range(N):
  if firstpop[k] == 0:
    ans[k] = 0
  else:
    start[k] %= firstpop[k]

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [1 for _ in range(N)]

def popcount(n):
  c = 0
  n = str(bin(n))[2:]
  for _ in range(len(n)):
    if n[_] == '1':
      c += 1
  return c

l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
firstpop = [l for _ in  range(N)]

intN = int(X, 2)

start = []
if N == 1:
  if X[0] == '1':
    ia = 0
    firstpop[0] -= 1
  else:
    ia = 1
    firstpop[0] += 1
  start.append(ia)

else:
  for k in range(N):
    if X[k] == '1':
      ia = intN - 2**(N-k-1)
      firstpop[k] -= 1
    else:
      ia = intN + 2**(N-k-1)
      firstpop[k] += 1
    start.append(ia)

mp = l + 1
poplist = [0]
for _ in range(1, mp):
  poplist.append(popcount(_))


for k in range(N):
  if firstpop[k] == 0:
    ans[k] = 0
  else:
    start[k] %= firstpop[k]

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % poplist[start[k]]

for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Runtime Error):
N = int(input())
X = input()
ans = [1 for _ in range(N)]

def popcount(n):
  c = 0
  n = str(bin(n))[2:]
  for _ in range(len(n)):
    if n[_] == '1':
      c += 1
  return c

l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
firstpop = [l for _ in  range(N)]


start = []
if N == 1:
  if X[0] == '1':
    a = '0'
    firstpop[0] -= 1
  else:
    a = '1'
    firstpop[1] += 1
  ia = int(a, 2)
  start.append(ia)

if N > 1:
  if X[0] == '1':
    a = '0' + X[1:]
    firstpop[0] -= 1
  else:
    a = '1' + X[1:]
    firstpop[0] += 1
  ia = int(a, 2)
  start.append(ia)

  for k in range(1, N-1):
    if X[k] == '1':
      a = X[:k] + '0' + X[k+1:]
      firstpop[k] -= 1
    else:
      a = X[:k] + '1' + X[k+1:]
      firstpop[k] += 1
    ia = int(a, 2)
    start.append(ia)
  if X[-1] == '1':
    a = X[:-1] + '0'
    firstpop[-1] -= 1
  else:
    a = X[:-1] + '1'
    firstpop[-1] += 1
  ia = int(a, 2) 
  start.append(ia)

mp = l + 1
poplist = [0]
for _ in range(1, l+2):
  poplist.append(popcount(_))

for k in range(N):
  if firstpop[k] == 0:
    ans[k] = 0
  else:
    start[k] %= firstpop[k]



for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % poplist[start[k]]
  


for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()
ans = [0 for _ in range(N)]

def popcount(n):
  c = 0
  n = str(bin(n))[2:]
  for _ in range(len(n)):
    if n[_] == '1':
      c += 1
  return c

nofinish = [_ for _ in range(N)]
start = []
if N == 1:
  if X[0] == '1':
    a = '0'
  else:
    a = '1'
  ia = int(a, 2)
  start.append(ia)

if N > 1:
  if X[0] == '1':
    a = '0' + X[1:]
  else:
    a = '1' + X[1:]
  ia = int(a, 2)
  start.append(ia)

  for k in range(1, N-1):
    if X[k] == '1':
      a = X[:k] + '0' + X[k+1:]
    else:
      a = X[:k] + '1' + X[k+1:]
    ia = int(a, 2)
    start.append(ia)
  if X[-1] == '1':
    a = X[:-1] + '0'
  else:
    a = X[:-1] + '1'
  ia = int(a, 2) 
  start.append(ia)


for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] = count
      break
    else:
      start[k] = start[k] % popcount(start[k])
  


for k in range(N):
  print(ans[k])

Fixed submission:
N = int(input())
X = input()
ans = [1 for _ in range(N)]
#original 1 count
l = 0
for k in range(N):
  if X[k] == '1':
    l+=1
if l == 0:
  for _ in range(N):
    print(1)
  exit()
if l == 1:
  if X[-1] == '1':
    for _ in range(N-1):
      ans[_] = 2
  else:
    ans[-1] = 2 
  for k in range(N):
    if X[k] =='1':
      ans[k] = 0 
  for _ in range(N):
    print(ans[_])
  exit()


intN = int(X, 2)
N1 = intN %(l-1)
N0 = intN % (l+1)


start = []
if N == 1:
  if X[0] == '1':
    print(0)
    exit()
  else:
    print(1)
    exit()
else:
  s1 = 1
  s0 = 1
  for k in range(N-1, -1, -1):
    if X[k] == '1':      
      ia = (N1 - s1)%(l-1)
    else:
      ia = (N0 + s0)%(l+1)
    start.append(ia)
    s1 = s1*2%(l-1)
    s0 = s0*2%(l+1)
start = start[::-1]
"""
ml = len(bin(l+1))-2
poplist = [0 for _ in range(N)]
t = 1
while t < N + 1:
  t *= 2
  for k in range(t//2, N, t):
    for j in range(t//2):
      if k+j>N-1:
        break
      poplist[k+j] += 1
"""

def popcount(n):
  c = 0
  n = bin(n)[2:]
  for k in range(len(n)):
    if n[k] == '1':
      c+=1
  return c

for k in range(len(start)):
  for count in range(10*5):
    if start[k] == 0:
      ans[k] += count
      break
    else:
      start[k] = start[k] % popcount(start[k])

for k in range(N):
  print(ans[k])