def fast_powmod(n, m):
    pow2 = 2
    result = 1
    while n > 0:
        if n % 2 == 1:
            result = (result * pow2) % m
        pow2 = (pow2 * pow2) % m
        n >>= 1

    return result

def popcnt3(n):
    c = (n & 0x5555555555555555) + ((n>>1) & 0x5555555555555555)
    c = (c & 0x3333333333333333) + ((c>>2) & 0x3333333333333333)
    c = (c & 0x0f0f0f0f0f0f0f0f) + ((c>>4) & 0x0f0f0f0f0f0f0f0f)
    c = (c & 0x00ff00ff00ff00ff) + ((c>>8) & 0x00ff00ff00ff00ff)
    c = (c & 0x0000ffff0000ffff) + ((c>>16) & 0x0000ffff0000ffff)
    c = (c & 0x00000000ffffffff) + ((c>>32) & 0x00000000ffffffff)
    return c

n = int(input())
x = input()

res = dict()
res[1] = 1
res[2] = 1
for i in range(3, 2 * 10**5 + 1):
    val = i % popcnt3(i)
    if val == 0:
        res[i] = 1
    else:
        res[i] = res[val] + 1

count = 0
for i in x:
    if i == "1":
        count += 1

x = x[::-1]
small = 0
big = 0
for i in range(len(x)):
    if x[i] == "1":
        small += fast_powmod(i, count - 1)
        big += fast_powmod(i, count + 1)

try:
    small %= count - 1
except:
    small = 0

big %= count + 1

anse = []
for i in range(len(x)):
    if x[i] == "1":
        done = False
        ans = 0
        cur = small - fast_powmod(i, count - 1)
        try:
            cur %= count - 1
            if cur == 0:
                anse.append(1)
            else:
                anse.append(res[cur] + 1)
        except:
            anse.append(1)

    else:
        done = False
        ans = 0
        cur = big + fast_powmod(i, count + 1)
        cur %= count + 1
        if cur == 0:
            anse.append(1)
        else:
            anse.append(res[cur] + 1)


for i in anse[::-1]:
    print(i)
                
        
        
# print(small, big)
        



### FIXED CODE ###

def fast_powmod(n, m):
    pow2 = 2
    result = 1
    while n > 0:
        if n % 2 == 1:
            result = (result * pow2) % m
        pow2 = (pow2 * pow2) % m
        n >>= 1

    return result

def popcnt3(n):
    c = (n & 0x5555555555555555) + ((n>>1) & 0x5555555555555555)
    c = (c & 0x3333333333333333) + ((c>>2) & 0x3333333333333333)
    c = (c & 0x0f0f0f0f0f0f0f0f) + ((c>>4) & 0x0f0f0f0f0f0f0f0f)
    c = (c & 0x00ff00ff00ff00ff) + ((c>>8) & 0x00ff00ff00ff00ff)
    c = (c & 0x0000ffff0000ffff) + ((c>>16) & 0x0000ffff0000ffff)
    c = (c & 0x00000000ffffffff) + ((c>>32) & 0x00000000ffffffff)
    return c

n = int(input())
x = input()

res = dict()
res[1] = 1
res[2] = 1
for i in range(3, 2 * 10**5 + 1):
    val = i % popcnt3(i)
    if val == 0:
        res[i] = 1
    else:
        res[i] = res[val] + 1

count = 0
for i in x:
    if i == "1":
        count += 1

x = x[::-1]
small = 0
big = 0
for i in range(len(x)):
    if x[i] == "1":
        if count - 1 != 0:
            small += fast_powmod(i, count - 1)
        big += fast_powmod(i, count + 1)

try:
    small %= count - 1
except:
    small = 0
big %= count + 1

anse = []
for i in range(len(x)):
    if x[i] == "1":
        done = False
        ans = 0
        if count - 1 == 0:
            anse.append(0)
        else:
            cur = small - fast_powmod(i, count - 1)
            cur %= count - 1
            if cur == 0:
                anse.append(1)
            else:
                anse.append(res[cur] + 1)
    else:
        done = False
        ans = 0
        cur = big + fast_powmod(i, count + 1)
        cur %= count + 1
        if cur == 0:
            anse.append(1)
        else:
            anse.append(res[cur] + 1)


for i in anse[::-1]:
    print(i)
                
        
        
# print(small, big)