def getN():
    return int(input())
def getNM():
    return map(int, input().split())
def getList():
    return list(map(int, input().split()))
def getArray(intn):
    return [int(input()) for i in range(intn)]
def input():
    return sys.stdin.readline().rstrip()
def rand_N(ran1, ran2):
    return random.randint(ran1, ran2)
def rand_List(ran1, ran2, rantime):
    return [random.randint(ran1, ran2) for i in range(rantime)]
def rand_ints_nodup(ran1, ran2, rantime):
  ns = []
  while len(ns) < rantime:
    n = random.randint(ran1, ran2)
    if not n in ns:
      ns.append(n)
  return sorted(ns)

def rand_query(ran1, ran2, rantime):
  r_query = []
  while len(r_query) < rantime:
    n_q = rand_ints_nodup(ran1, ran2, 2)
    if not n_q in r_query:
      r_query.append(n_q)
  return sorted(r_query)

from collections import defaultdict, deque, Counter
from sys import exit
from decimal import *
import heapq
import math
from fractions import gcd
import random
import string
import copy
from itertools import combinations, permutations, product
from operator import mul
from functools import reduce
from bisect import bisect_left, bisect_right

import sys
sys.setrecursionlimit(1000000000)
mod = 10 ** 9 + 7

#############
# Main Code #
#############

popc = [0] * ((1 << 18) + 1)
for bit in range(1, 1 << 18):
    opt = bin(bit).count('1')
    popc[bit] = bit % opt

f_list = [0] * ((1 << 18) + 1)
for i in range(1, 1 << 18):
    now = popc[i]
    cnt = 1
    while True:
        if now == 0:
            f_list[i] = cnt
            break
        now = popc[now]
        cnt += 1

N = getN()
X = input()
NX = len(X)
time = X.count('1')
t1 = time + 1
t2 = time - 1

lis_left_1 = [0] * NX

now = 1 % t1
lis_left_1[0] = now
for i in range(1, NX):
    now = (2 * now) % t1
    lis_left_1[i] = now

now = 1 % t2
lis_left_2 = [0] * NX

now = 1 % t2
lis_left_2[0] = now
for i in range(1, NX):
    now = (2 * now) % t2
    lis_left_2[i] = now

left_mother_1 = 0
for i in range(NX):
    if int(X[i]) == 1:
        left_mother_1 += lis_left_1[NX - i - 1]

left_mother_2 = 0
for i in range(NX):
    if int(X[i]) == 1:
        left_mother_2 += lis_left_2[NX - i - 1]

for i in range(N):
    # 1が0に left_mother_2, t2
    if int(X[i]) == 1:
        opt_mom = left_mother_2
        opt_mom -= lis_left_2[NX - i - 1]
        opt_mom %= t2
        print(f_list[opt_mom] + 1)
    # 0が1に left_mother_1, t1
    else:
        opt_mom = left_mother_1
        opt_mom += lis_left_1[NX - i - 1]
        opt_mom %= t1
        print(f_list[opt_mom] + 1)


### FIXED CODE ###

def getN():
    return int(input())
def getNM():
    return map(int, input().split())
def getList():
    return list(map(int, input().split()))
def getArray(intn):
    return [int(input()) for i in range(intn)]
def input():
    return sys.stdin.readline().rstrip()
def rand_N(ran1, ran2):
    return random.randint(ran1, ran2)
def rand_List(ran1, ran2, rantime):
    return [random.randint(ran1, ran2) for i in range(rantime)]
def rand_ints_nodup(ran1, ran2, rantime):
  ns = []
  while len(ns) < rantime:
    n = random.randint(ran1, ran2)
    if not n in ns:
      ns.append(n)
  return sorted(ns)

def rand_query(ran1, ran2, rantime):
  r_query = []
  while len(r_query) < rantime:
    n_q = rand_ints_nodup(ran1, ran2, 2)
    if not n_q in r_query:
      r_query.append(n_q)
  return sorted(r_query)

from collections import defaultdict, deque, Counter
from sys import exit
from decimal import *
import heapq
import math
from fractions import gcd
import random
import string
import copy
from itertools import combinations, permutations, product
from operator import mul
from functools import reduce
from bisect import bisect_left, bisect_right

import sys
sys.setrecursionlimit(1000000000)
mod = 10 ** 9 + 7

#############
# Main Code #
#############
popc = [0] * ((1 << 18) + 1)
for bit in range(1, 1 << 18):
    opt = bin(bit).count('1')
    popc[bit] = bit % opt

f_list = [0] * ((1 << 18) + 1)
for i in range(1, 1 << 18):
    now = popc[i]
    cnt = 1
    while True:
        if now == 0:
            f_list[i] = cnt
            break
        now = popc[now]
        cnt += 1

N = getN()
X = input()
NX = len(X)
time = X.count('1')
t1 = time + 1
t2 = time - 1

lis_left_1 = [0] * NX

now = 1 % t1
lis_left_1[0] = now
for i in range(1, NX):
    now = (2 * now) % t1
    lis_left_1[i] = now

lis_left_2 = [0] * NX

if t2 > 0:
    now = 1 % t2
    lis_left_2[0] = now
    for i in range(1, NX):
        now = (2 * now) % t2
        lis_left_2[i] = now

left_mother_1 = 0
for i in range(NX):
    if int(X[i]) == 1:
        left_mother_1 += lis_left_1[NX - i - 1]

left_mother_2 = 0
for i in range(NX):
    if int(X[i]) == 1:
        left_mother_2 += lis_left_2[NX - i - 1]

for i in range(N):
    # 1が0に left_mother_2, t2
    if int(X[i]) == 1:
        if t2 == 0:
            print(0)
            continue
        opt_mom = left_mother_2
        opt_mom -= lis_left_2[NX - i - 1]
        opt_mom %= t2
        print(f_list[opt_mom] + 1)
    # 0が1に left_mother_1, t1
    else:
        opt_mom = left_mother_1
        opt_mom += lis_left_1[NX - i - 1]
        opt_mom %= t1
        print(f_list[opt_mom] + 1)