Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
(n,), digits = [list(map(int, list(s.rstrip()))) for s in open(0)]

n = int(n)
cnt = sum(digits)
x = int(''.join(map(str, digits)), 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

mmod = cnt - 1
pmod = cnt + 1

if mmod:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and not mmod:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Buggy python submission (verdict: Runtime Error):
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    if digit:
        ans.append(calc((mx - mbase)%mmod) + 1)
    else:
        ans.append(calc((px + pbase)%pmod) + 1)
    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Buggy python submission (verdict: Runtime Error):
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    if digit:
        ans.append(calc((mx - mbase)%mmod) + 1)
    else:
        ans.append(calc((px + pbase)%pmod) + 1)
    mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Buggy python submission (verdict: Runtime Error):
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = map(int, list(x))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mask = 2 ** (n-1)

for digit in digits:
    if digit:
        tcnt = cnt - 1
    else:
        tcnt = cnt + 1
    x ^= mask
#     print(f'{x=}, {tcnt=}, {digit=}')
    print(calc(x % tcnt) + 1)
    x ^= mask
    mask //= 2

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Buggy python submission (verdict: Runtime Error):
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = map(int, list(x))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x))
    exit()

mask = 2 ** (n-1)

for digit in digits:
    if digit:
        tcnt = cnt - 1
    else:
        tcnt = cnt + 1
    x ^= mask
#     print(f'{x=}, {tcnt=}, {digit=}')
    print(calc(x % tcnt) + 1)
    x ^= mask
    mask //= 2

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Buggy python submission (verdict: Time Limit Exceeded):
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
x = int(x, 2)
x = x^(2**(n-1))

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x))
    exit()

mask = 3 << (n-2)

while 1:
    print(calc(x))
    x ^= mask
    if mask < 3:
        break
    mask //= 2

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Buggy python submission (verdict: Time Limit Exceeded):
n,x = open(0).read().splitlines()

n = int(n)
x = int(x,2)

#count
d = {0:0}

def calc(n):
    if n not in d:
        pop = n % bin(n).count('1')
        d[n] = calc(pop) + 1
    return d[n]

for i in range(n-1,-1,-1):
    m = x ^ (1<<i)
    print(calc(m))

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())

Buggy python submission (verdict: Time Limit Exceeded):
n,x = open(0).read().splitlines()

n = int(n)
size = len(x)
x = int(x,2)

from collections import defaultdict

#count
d = {0:0}

def calc(n):
    if n not in d:
        pop = n % f'{n:b}'.count('1')
        d[n] = calc(pop) + 1
    return d[n]

for i in range(n):
    m = x ^ (1<<(size-i-1))
    print(calc(m))

Fixed submission:
from sys import exit
from collections import defaultdict
n,x = open(0).read().split()
n = int(n)
cnt = x.count('1') 
digits = list(map(int, list(x)))
x = int(x, 2)

d = defaultdict(int)
d[0] = 0
def calc(m):
    if m not in d:
        nxt = m % bin(m).count('1')
        d[m] = calc(nxt) + 1
    return d[m]

if n == 1:
    print(calc(x^1))
    exit()

mmod = cnt - 1
pmod = cnt + 1

if mmod > 0:
    mx = x % mmod
px = x % pmod

mbase = 1
pbase = 1

ans = []
while digits:
    digit = digits.pop()
    
    if digit and mmod <= 0:
        ans.append(0)
    else:
        if digit:
            nx = (mx - mbase)%mmod
        else:
            nx = (px + pbase)%pmod
        ans.append(calc(nx) + 1)

    if mmod > 0:
        mbase = (mbase * 2) % mmod
    pbase = (pbase * 2) % pmod

while ans:
    print(ans.pop())