Problem p02609 (python)

Fixed submission:
def main():
    N = int(input())
    X = input()
    MOD = sum(map(lambda x: x == '1',X))
    lowNumber = []
    for i in range(MOD + 1):
        anscur = i
        cnt = 1
        while anscur != 0:
            oneCount = bin(anscur).count('1')
            anscur %= oneCount
            cnt += 1
        lowNumber.append(cnt)
    if MOD == 0:
        print("1" + "\n1" * (N-1))
        return 0
    if MOD == 1 and X[-1] == '1':
        print("2\n" * (N-1) + "0")
        return 0
    if MOD == 1 and X[-1] == '0':
        ans = ''
        for i in range(N):
            if X[i] == '1':
                ans += '0'
            elif i != N-1:
                ans += '1'
            else:
                ans += '2'
            if i != N-1:
                ans += '\n'
        print(ans)
        return 0
    MODP1 = MOD + 1
    MODM1 = MOD - 1
    POWEROFTWOP1 = [0] * 200001
    POWEROFTWOM1 = [0] * 200001
    POWEROFTWOP1[0] = 1
    POWEROFTWOM1[0] = 1
    for i in range(1,N):
        POWEROFTWOP1[i] = (POWEROFTWOP1[i-1] * 2) % MODP1
        POWEROFTWOM1[i] = (POWEROFTWOM1[i-1] * 2) % MODM1
    xMODP1 = 0
    xMODM1 = 0
    for i in range(N):
        if X[i] == '1':
            xMODP1 += POWEROFTWOP1[N - i - 1]
            xMODP1 %= MODP1
            xMODM1 += POWEROFTWOM1[N - i - 1]
            xMODM1 %= MODM1
    ans = ""
    for i in range(N):
        if X[i] == '0':
            anscur = xMODP1
            anscur += POWEROFTWOP1[N - i - 1]
            anscur %= MODP1
        if X[i] == '1':
            anscur = xMODM1
            anscur -= POWEROFTWOM1[N - i - 1]
            anscur %= MODM1
        ans += str(lowNumber[anscur])
        if i != N-1:
            ans += '\n'
    print(ans)
                    
main()

Buggy submission (verdict: Runtime Error):
def main():
    N = int(input())
    X = input()
    lowNumber = [1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 2, 2, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 4, 2, 3, 2, 3, 2, 2, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 3, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 2, 3, 3, 4, 2, 3, 2, 3, 2, 2, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 4, 3, 4, 2, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 4, 2, 3, 2, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 4, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 4, 2, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 2, 2, 2, 3, 4, 4, 4, 2, 3, 3, 4, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 2, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 2, 2, 3, 2, 4, 3, 3, 3, 3, 3, 4, 2, 4, 3, 2, 3, 4, 2, 2, 3, 4, 4, 4, 2, 4, 3, 4, 3, 2, 2, 3, 4, 4, 2, 4, 2, 3, 3, 4, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 3, 2, 3, 3, 4, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 2, 2, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 3, 2, 2, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 2, 2, 3, 4, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 2, 3, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 4, 2, 3, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 2, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 4, 4, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 2, 2, 4, 2, 3, 3, 3, 2, 4, 2, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 2, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 2, 3, 2, 4, 3, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 3, 2, 3, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 3, 2, 2, 3, 4, 4, 3, 3, 4, 3, 4, 2, 2, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 2, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 2, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 3, 2, 2, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 4, 2, 4, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 4, 2, 2, 3, 4, 4, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 2, 4, 4, 3, 3, 2, 3, 2, 4, 2, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 2, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 2, 3, 2, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 2, 2, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3, 2, 4, 3, 4, 2, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 2, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 3, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 2, 4, 3, 4, 2, 3, 2, 4, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 2, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 3, 2, 2, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 4, 2, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 4, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 2, 2, 4, 3, 3, 2, 3, 2, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 2, 4, 3, 4, 3, 3, 2, 3, 4, 4, 2, 2, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 2, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 2, 3, 4, 4, 2, 4, 2, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 2, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 2, 2, 3, 4, 2, 3, 4, 3, 2, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 2, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 3, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 3, 2, 4, 3, 4, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 2, 2, 3, 4, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 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2, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 2, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 2, 4, 4, 4, 3, 4, 2, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 2, 3, 4, 4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 2, 3, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 4, 4, 3, 2, 2, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 3, 4, 4, 3, 4, 2, 4, 3, 4, 2, 4, 3, 4, 2, 2, 3, 4, 4, 4, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 3, 3, 3, 4, 4, 3, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 2, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 2, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 2, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 3, 2, 2, 3, 4, 4, 4, 2, 2, 3, 4, 3, 3, 2, 3, 2, 4, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 4, 2, 4, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 4, 2, 4, 3, 4, 4, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 2, 3, 4, 4, 2, 3, 4, 3, 2, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 2, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 2, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 2, 3, 2, 4, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 4, 2, 2, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 2, 4, 2, 2, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 2, 4, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 2, 4, 4, 3, 3, 2, 3, 2, 4, 3, 4, 2, 4, 3, 2, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 2, 2, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 2, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 2, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 4, 2, 2, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 4, 2, 4, 3, 2, 2, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 4, 3, 3, 2, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 3, 3, 4, 2, 2, 3, 4, 4, 4, 2, 3, 3, 4, 3, 4, 2, 4, 3, 4, 2, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 4, 2, 3, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 2, 4, 3, 4, 3, 4, 2, 2, 2, 4, 3, 3, 2, 3, 2, 4, 4, 4, 2, 4, 3, 2, 3, 4, 2, 3, 4, 4, 2, 4, 3, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 2, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 2, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 2, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 2, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 2, 3, 4, 2, 3, 4, 3, 4, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 4, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 4, 4, 2, 2, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 4, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 2, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 2, 3, 3, 4, 4, 2, 3, 4, 4, 2, 3, 3, 2, 3, 4, 2, 4, 3, 2, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 3, 2, 4, 3, 4, 4, 4, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 2, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 2, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 2, 3, 4, 2, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 2, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 3, 3, 4, 3, 2, 3, 4, 2, 3, 4, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 2, 4, 4, 3, 3, 2, 3, 2, 4, 2, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 2, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 2, 4, 4, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 2, 3, 2, 3, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 2, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 2, 2, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 2, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 2, 4, 3, 4, 3, 4]
    MOD = sum(map(lambda x: x == '1',X))
    for i in range(150000,MOD):
    anscur = i
    cnt = 1
    while anscur != 0:
        ans2 = bin(anscur)[2:]
        oneCount = sum(map(lambda x: x == '1',ans2))
        anscur %= oneCount
        cnt += 1
    lowNumber.append(cnt)
    if MOD == 0:
        print("1" + "\n1" * (N-1))
        return 0
    if MOD == 1 and X[-1] == '1':
        print("2\n" * (N-1) + "0")
        return 0
    if MOD == 1 and X[-1] == '0':
        ans = ''
        for i in range(N):
            if X[i] == '1':
                ans += '0'
            elif i != N-1:
                ans += '1'
            else:
                ans += '2'
            if i != N-1:
                ans += '\n'
        print(ans)
        return 0
    MODP1 = MOD + 1
    MODM1 = MOD - 1
    POWEROFTWOP1 = [0] * 200001
    POWEROFTWOM1 = [0] * 200001
    POWEROFTWOP1[0] = 1
    POWEROFTWOM1[0] = 1
    for i in range(1,N):
        POWEROFTWOP1[i] = (POWEROFTWOP1[i-1] * 2) % MODP1
        POWEROFTWOM1[i] = (POWEROFTWOM1[i-1] * 2) % MODM1
    xMODP1 = 0
    xMODM1 = 0
    for i in range(N):
        if X[i] == '1':
            xMODP1 += POWEROFTWOP1[N - i - 1]
            xMODP1 %= MODP1
            xMODM1 += POWEROFTWOM1[N - i - 1]
            xMODM1 %= MODM1
    ans = ""
    for i in range(N):
        if X[i] == '0':
            anscur = xMODP1
            anscur += POWEROFTWOP1[N - i - 1]
            anscur %= MODP1
        if X[i] == '1':
            anscur = xMODM1
            anscur -= POWEROFTWOM1[N - i - 1]
            anscur %= MODM1
        ans += str(lowNumber[anscur])
        if i != N-1:
            ans += '\n'
    print(ans)
                    
main()