### BUGGY CODE ###

from collections import deque
N = int(input())
X = str(input())
X = list(X)
motokosu = X.count("1")
only = float("inf")
if motokosu == 1:
  for i in range(N):
    if X[i] == "1":
      only = i
      break
#print(motosuji,motokosu)
MAX = 2*pow(10,5)+10
base = [0 for _ in range(MAX)] #0から19までの答えを保存
for i in range(MAX):
  now = i
  temp = 0
  while now != 0:
    ones = 0
    tnow = now*1
    for t in range(len(bin(now))-2):
      if (now>>t)&1 == 1:
        ones += 1
    #print(i,ones,now)
    now = now%ones
    #print(now,base[now])
    base[i] = base[now] + 1
    break
    #temp += 1
  #base[i] = temp
#print(base)
A = []
pkosu = motokosu+1
mkosu = motokosu-1
P = deque([])
M = deque([])
ptemp = 1; mtemp = 1
for i in range(N):
  P.appendleft(ptemp%pkosu)
  ptemp = ptemp*2%pkosu
  if mkosu < 1:
    M.appendleft(0)
  else:
    M.appendleft(mtemp%mkosu)
    mtemp = mtemp*2%mkosu
#print(P,M,pkosu,mkosu)
pmotosuji = 0; mmotosuji = 0
for i in range(N):
  if X[i] == "1":
    pmotosuji = (pmotosuji+P[i])%pkosu
    if mkosu < 1:
      continue
    mmotosuji = (mmotosuji+M[i])%mkosu
for i in range(N): #i桁目を入れ替える
  if only == i:
    print(0)
    continue
  if X[i] == "0": #その桁が0なら1にする
    kosu = motokosu + 1
    suji = (pmotosuji + P[i])%kosu
  else: #その桁が1なら0にする
    kosu = motokosu - 1
    if kosu == 0:
      suji = -1
    else:
      suji = (mmotosuji - M[i])%kosu
    
  #print(suji,kosu)
  #if suji == 0:
  #  ans = 0
  if suji == -1:
    ans = 1
  else:
    nxt = suji%kosu
    ans = 1+base[nxt]
  #A.append(ans)
  print(ans)

#print(*A,sep="\n")
#print(2**17)
      
  

        

### FIXED CODE ###

from collections import deque
N = int(input())
X = str(input())
X = list(X)
#motokosu = X.count("1")
motokosu = 0
only = float("inf")
for i in range(N):
  if X[i] == "1":
    motokosu += 1
    only = i
if motokosu != 1:
  only = float("inf")
#print(motosuji,motokosu)
MAX = 2*pow(10,5)+10
base = [0 for _ in range(MAX)] #0から19までの答えを保存
for i in range(MAX):
  now = i
  temp = 0
  while now != 0:
    ones = 0
    tnow = now*1
    for t in range(len(bin(now))-2):
      if (now>>t)&1 == 1:
        ones += 1
    #print(i,ones,now)
    now = now%ones
    #print(now,base[now])
    base[i] = base[now] + 1
    break
    #temp += 1
  #base[i] = temp
#print(base)
A = []
pkosu = motokosu+1
mkosu = motokosu-1
P = deque([])
M = deque([])
ptemp = 1; mtemp = 1
for i in range(N):
  P.appendleft(ptemp%pkosu)
  ptemp = ptemp*2%pkosu
  if mkosu < 1:
    M.appendleft(0)
  else:
    M.appendleft(mtemp%mkosu)
    mtemp = mtemp*2%mkosu

pmotosuji = 0; mmotosuji = 0
for i in range(N):
  if X[i] == "1":
    pmotosuji = (pmotosuji+P[i])%pkosu
    if mkosu >= 1:
      mmotosuji = (mmotosuji+M[i])%mkosu
#print(P,M,pkosu,mkosu,pmotosuji,mmotosuji)

for i in range(N): #i桁目を入れ替える
  if only == i:
    print(0)
    continue
  if X[i] == "0": #その桁が0なら1にする
    kosu = motokosu + 1
    suji = (pmotosuji + P[i])%kosu
  else: #その桁が1なら0にする
    kosu = motokosu - 1
    if kosu == 0:
      suji = -1
    else:
      suji = (mmotosuji - M[i])%kosu
    
  #print(suji,kosu)
  #if suji == 0:
  #  ans = 0
  if suji == -1:
    ans = 1
  else:
    nxt = suji%kosu
    ans = 1+base[nxt]
  #A.append(ans)
  print(ans)

#print(*A,sep="\n")
#print(2**17)
#print(motokosu)