Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N = int(input())
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print("\n".join(map(str, [1]*N)))
        return

    X = int(S, 2)

    def f2():
        cache = [0] * (cnt0 + 1)
        i = 1
        bi = []
        while i <= cnt0:
            bi.append(i)
            i <<= 1
        from collections import deque
        dq = deque([(0, 0, 0)])
        ls = len(bi) -1
        while dq:
            i, x, cnt = dq.popleft()

            cnt += 1
            for j in range(i, ls):
                y = x | bi[j]

                if y > cnt0: break

                cache[y] = cache[y % cnt] + 1

                j += 1
                dq.append((j, y, cnt))
            else:
                y = x | bi[j]
                if y > cnt0: continue
                cache[y] = cache[y % cnt] + 1
        return cache


    memo = f2()

    dc = []
    for v in [1, -1]:
        x = cnt0 + v
        y = X % x if x else 0
        dc.append((x, v, y, [1, N-1]))

    ans = [0] * N
    for i in reversed(range(N)):
        cnt, v, n, m1 = dc[0 if S[i] == "0" else 1]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + memo[n]

    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N = int(input())
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print("\n".join(map(str, [1]*N)))
        raise 1
        return

    X = int(S, 2)

    def f2():
        cache = [0] * (cnt0 + 1)
        i = 1
        bi = []
        while i <= cnt0:
            bi.append(i)
            i <<= 1
        from collections import deque
        dq = deque([(0, 0, 0)])
        ls = len(bi) -1
        while dq:
            i, x, cnt = dq.popleft()

            cnt += 1
            for j in range(i, ls):
                y = x | bi[j]

                if y > cnt0: break

                cache[y] = cache[y % cnt] + 1

                j += 1
                dq.append((j, y, cnt))
            else:
                y = x | bi[j]
                if y > cnt0: continue
                cache[y] = cache[y % cnt] + 1
        return cache


    memo = f2()

    dc = []
    for v in [1, -1]:
        x = cnt0 + v
        y = X % x if x else 0
        dc.append((x, v, y, [1, N-1]))

    ans = [0] * N
    for i in reversed(range(N)):
        cnt, v, n, m1 = dc[0 if S[i] == "0" else 1]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + memo[n]

    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N = int(input())
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print("\n".join(map(str, [1]*N)))
        raise 1
        return

    X = int(S, 2)

    def f2():
        cache = [0] * (cnt0 + 1)
        i = 1
        bi = []
        while i <= cnt0:
            bi.append(i)
            i <<= 1
        from collections import deque
        dq = deque([(0, 0, 0)])
        ls = len(bi)
        while dq:
            i, x, cnt = dq.popleft()

            cnt += 1
            for j in range(i, ls):
                y = x | bi[j]

                if y > cnt0: break

                cache[y] = cache[y % cnt] + 1

                j += 1
                if j < ls:
                    dq.append((j, y, cnt))
        return cache


    memo = f2()

    dc = []
    for v in [1, -1]:
        x = cnt0 + v
        y = X % x if x else 0
        dc.append((x, v, y, [1, N-1]))

    ans = [0] * N
    for i in reversed(range(N)):
        cnt, v, n, m1 = dc[0 if S[i] == "0" else 1]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + memo[n]

    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N = int(input())
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        raise 1
        print("\n".join(map(str, [1]*N)))
        return

    X = int(S, 2)

    def f2():
        cache = [0] * (cnt0 + 1)
        i = 1
        bi = []
        while i <= cnt0:
            bi.append(i)
            i <<= 1
        from collections import deque
        dq = deque([(0, 0, 0)])
        ls = len(bi)
        while dq:
            i, x, cnt = dq.popleft()

            cnt += 1
            for j in range(i, ls):
                y = x | bi[j]

                if y > cnt0: break

                cache[y] = cache[y % cnt] + 1

                j += 1
                if j < ls:
                    dq.append((j, y, cnt))
        return cache


    memo = f2()

    dc = []
    for v in [1, -1]:
        x = cnt0 + v
        y = X % x if x else 0
        dc.append((x, v, y, [1, N-1]))

    ans = [0] * N
    for i in reversed(range(N)):
        cnt, v, n, m1 = dc[0 if S[i] == "0" else 1]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + memo[n]

    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N = int(input())
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        raise 1
        print("\n".join(map(str, [1]*N)))
        return

    X = int(S, 2)

    def f2():
        cache = [-1] * max(9, cnt0+1)
        cache[0] = 0
        for i in range(4): cache[1<<i] = 1
        def f2(x):
            if cache[x] != -1:
                return cache[x]

            y = bin(x).count("1")
            z = 1 + f2(x % y)
            cache[x] = z

            return z
        f2.cache = cache
        return f2
    #f3 = f2()
    def f2():
        cache = [0] * (cnt0 + 1)
        i = 1
        bi = []
        while i <= cnt0:
            bi.append(i)
            i <<= 1
        from collections import deque
        dq = deque([(0, 0, 0)])
        ls = len(bi)
        while dq:
            i, x, cnt = dq.popleft()

            cnt += 1
            for j in range(i, ls):
                y = x | bi[j]

                if y >= cnt0: break

                cache[y] = cache[y % cnt] + 1
                dq.append((j+1, y, cnt))
        def f(x):
            return cache[x]
        #f.cache = cache
        return cache


    memo = f2()

    dc = []
    for v in [1, -1]:
        x = cnt0 + v
        y = X % x if x else 0
        dc.append((x, v, y, [1, N-1]))

    ans = [0] * N
    for i in reversed(range(N)):
        cnt, v, n, m1 = dc[0 if S[i] == "0" else 1]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + memo[n]

    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N = int(input())
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        raise 1
        return

    X = int(S, 2)

    def f2():
        cache = [-1] * max(9, cnt0+1)
        cache[0] = 0
        for i in range(4): cache[1<<i] = 1
        def f2(x):
            if cache[x] != -1:
                return cache[x]

            y = bin(x).count("1")
            z = 1 + f2(x % y)
            cache[x] = z

            return z
        f2.cache = cache
        return f2
    f2 = f2()

    dc = []
    for v in [1, -1]:
        x = cnt0 + v
        y = X % x if x else 0
        dc.append((x, v, y, [1, N-1]))

    ans = [0] * N
    for i in reversed(range(N)):
        cnt, v, n, m1 = dc[0 if S[i] == "0" else 1]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + f2(n)

    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N = int(input())
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        raise 1
        return

    X = int(S, 2)

    def f2():
        cache = [-1] * max(9, cnt0+1)
        cache[0] = 0
        for i in range(4): cache[1<<i] = 1
        def f2(x):
            if cache[x] != -1:
                return cache[x]

            y = bin(x).count("1")
            z = 1 + f2(x % y)
            cache[x] = z

            return z
        f2.cache = cache
        return f2
    f2 = f2()

    dc = []
    for v in [1, -1]:
        x = cnt0 + v
        y = X % x if x else 0
        dc.append((x, v, y, [1, N-1]))

    ans = [0] * N
    for i in reversed(range(N)):
        si = S[i]
        cnt, v, n, m1 = dc[0 if si == "0" else 1]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + f2(n)

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())

def resolve():
    N, S = sys.stdin.read().split()
    N = int(N)
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        raise 1
        return

    X = int(S, 2)

    def f2():
        cache = [-1] * max(9, cnt0+1)
        cache[0] = 0
        for i in range(4): cache[1<<i] = 1
        def f2(x):
            if cache[x] != -1:
                return cache[x]

            y = bin(x).count("1")
            z = 1 + f2(x % y)
            cache[x] = z

            return z
        f2.cache = cache
        return f2
    f2 = f2()

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y, [1, N-1])

    ans = [0] * N
    for i in reversed(range(N)):
        si = S[i]
        cnt, v, n, m1 = dc[si]

        if cnt == 0:
            ans[i] = 0
            continue

        m2 = (m1[0]<<(m1[1]-i)) % cnt
        n = (n + v*m2) % cnt
        m1[0], m1[1] =  m2, i

        ans[i] = 1 + f2(n)

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()

Buggy python submission (verdict: Runtime Error):
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        dc[k] = (x, v, X % x)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()


Fixed submission:
#!python3

import sys
iim = lambda: map(int, sys.stdin.readline().rstrip().split())
from functools import lru_cache


@lru_cache(maxsize=2*10**5)
def f2(x):
    if x == 0: return 0
    y = bin(x).count("1")
    return 1 + f2(x % y)

def resolve():
    N = int(input())
    W = 16
    S = input()
    cnt0 = S.count("1")

    if cnt0 == 0:
        print(*[1]*N, sep="\n")
        return

    X = int(S, 2)

    dc = {}
    for k, v in (("0", 1), ("1", -1)):
        x = cnt0 + v
        y = X % x if x else 0
        dc[k] = (x, v, y)

    ans = []
    for i, si in enumerate(S):
        cnt, v, n = dc[si]

        if cnt == 0:
            ans.append(0)
            continue

        ni = N - i - 1
        n = (n + v * pow(2, ni, cnt)) % cnt

        ans.append(1+f2(n))

    print(*ans, sep="\n")


if __name__ == "__main__":
    resolve()