#![allow(non_snake_case)]
#![allow(dead_code)]
#![allow(unused_macros)]
#![allow(unused_imports)]

use std::str::FromStr;
use std::io::*;
use std::collections::*;
use std::cmp::*;

struct Scanner<I: Iterator<Item = char>> {
    iter: std::iter::Peekable<I>,
}

macro_rules! exit {
    () => {{
        exit!(0)
    }};
    ($code:expr) => {{
        if cfg!(local) {
            writeln!(std::io::stderr(), "===== Terminated =====")
                .expect("failed printing to stderr");
        }
        std::process::exit($code);
    }}
}

impl<I: Iterator<Item = char>> Scanner<I> {
    pub fn new(iter: I) -> Scanner<I> {
        Scanner {
            iter: iter.peekable(),
        }
    }

    pub fn safe_get_token(&mut self) -> Option<String> {
        let token = self.iter
            .by_ref()
            .skip_while(|c| c.is_whitespace())
            .take_while(|c| !c.is_whitespace())
            .collect::<String>();
        if token.is_empty() {
            None
        } else {
            Some(token)
        }
    }

    pub fn token(&mut self) -> String {
        self.safe_get_token().unwrap_or_else(|| exit!())
    }

    pub fn get<T: FromStr>(&mut self) -> T {
        self.token().parse::<T>().unwrap_or_else(|_| exit!())
    }

    pub fn vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
        (0..len).map(|_| self.get()).collect()
    }

    pub fn mat<T: FromStr>(&mut self, row: usize, col: usize) -> Vec<Vec<T>> {
        (0..row).map(|_| self.vec(col)).collect()
    }

    pub fn char(&mut self) -> char {
        self.iter.next().unwrap_or_else(|| exit!())
    }

    pub fn chars(&mut self) -> Vec<char> {
        self.get::<String>().chars().collect()
    }

    pub fn mat_chars(&mut self, row: usize) -> Vec<Vec<char>> {
        (0..row).map(|_| self.chars()).collect()
    }

    pub fn line(&mut self) -> String {
        if self.peek().is_some() {
            self.iter
                .by_ref()
                .take_while(|&c| !(c == '\n' || c == '\r'))
                .collect::<String>()
        } else {
            exit!();
        }
    }

    pub fn peek(&mut self) -> Option<&char> {
        self.iter.peek()
    }
}

fn main() {
    let cin = stdin();
    let cin = cin.lock();
    let mut sc = Scanner::new(cin.bytes().map(|c| c.unwrap() as char));
    let N: usize = sc.get();
    let X: Vec<char> = sc.chars();
    let mut popcntx = 0;
    for i in 0..N {
        if X[i] == '1' {
            popcntx += 1;
        }
    }
    let mut k1 = 0;
    let mut k2 = 0;
    let mut w1 = 1;
    let mut w2 = 1;
    for i in (0..N).rev() {
        if X[i] == '1' {
            k1 += w1;
            k1 %= popcntx + 1;
            if popcntx > 1 {
                k2 += w2;
                k2 %= popcntx - 1;
            }
        }
        w1 *= 2;
        w1 %= popcntx + 1;
        if popcntx > 1 {
            w2 *= 2;
            w2 %= popcntx - 1;
        }
    }
    w1 = 1; w2 = 1;
    let mut x = vec![0i32; N];
    for i in (0..N).rev() {
        if X[i] == '0' {
            x[i] = k1 + w1;
            x[i] %= popcntx + 1;
        } else {
            if popcntx > 1 {
                x[i] = k2 - w2 + (popcntx - 1);
                x[i] %= popcntx - 1;
            } else {
                x[i] = -1;
            }
        }
        w1 *= 2;
        w1 %= popcntx + 1;
        if popcntx > 1 {
            w2 *= 2;
            w2 %= popcntx - 1;
        }
    }
    for i in 0..N {
        if x[i] == -1 {
            println!("{}", 0);
            continue;
        }
        let mut cnt = 1;
        while x[i] != 0 {
            x[i] %= x[i].count_ones() as i32;
            cnt += 1;
        }
        println!("{}", cnt);
    }
}


Measured memory_bytes: 3584