use std::io::{BufReader, Write};
pub use proconio::input;

/// https://maguro.dev/debug-macro/
#[allow(unused_macros)]
macro_rules! debug {
    ($($a:expr),* $(,)*) => {
        #[cfg(debug_assertions)]
        eprintln!(concat!($("| ", stringify!($a), "={:?} "),*, "|"), $(&$a),*);
        #[cfg(debug_assertions)]
        std::io::stderr().flush().unwrap();
    };
}

#[allow(dead_code)]
fn concat_newline(chg: &mut String, additional: &str){
    chg.push_str(additional);
    chg.push_str("\n");
}

#[allow(dead_code)]
fn concat_whitespace(chg: &mut String, additional: &str){
    chg.push_str(additional);
    chg.push_str(" ");
}

#[proconio::fastout]
fn main(){
    let stdin = std::io::stdin();
    let mut source = proconio::source::auto::AutoSource::new(BufReader::new(stdin.lock()));
    println!("{}", solve(&mut source));
    std::io::stdout().flush().unwrap();
}

#[cfg(test)]
mod tests{
    use super::*;

    #[test]
    fn handcase(){
        let problem: &str = test_info::HANDCASE_INPUT;
        if problem == String::new() {
            return;
        }
        let output: String = naive_ans(&mut proconio::source::auto::AutoSource::from(problem));
        if output == String::new() {
            return;
        }
        assert_eq!(
            output,
            solve(&mut proconio::source::auto::AutoSource::from(problem))
        )
    }

    #[test]
    fn sample_1(){
        let problem = test_info::SAMPLE_INPUT_1;
        let output = test_info::SAMPLE_OUTPUT_1;
        if problem == String::new() {
            return;
        }
        assert_eq!(
            output.to_string(),
            solve(&mut proconio::source::auto::AutoSource::from(problem))
        )
    }

    #[test]
    fn sample_2(){
        let problem = test_info::SAMPLE_INPUT_2;
        let output = test_info::SAMPLE_OUTPUT_2;
        if problem == String::new() {
            return;
        }
        assert_eq!(
            output.to_string(),
            solve(&mut proconio::source::auto::AutoSource::from(problem))
        )
    }

    #[test]
    fn sample_3(){
        let problem = test_info::SAMPLE_INPUT_3;
        let output = test_info::SAMPLE_OUTPUT_3;
        if problem == String::new() {
            return;
        }
        assert_eq!(
            output.to_string(),
            solve(&mut proconio::source::auto::AutoSource::from(problem))
        )
    }

    #[test]
    fn naive_test_sample_1(){
        let problem = test_info::SAMPLE_INPUT_1;
        if problem == String::new() {
            return;
        }
        let output: String = naive_ans(&mut proconio::source::auto::AutoSource::from(problem));
        if output == String::new() {
            return;
        }
        assert_eq!(
            output.to_string(),
            solve(&mut proconio::source::auto::AutoSource::from(problem))
        )
    }

    #[test]
    fn naive_test_sample_2(){
        let problem = test_info::SAMPLE_INPUT_2;
        if problem == String::new() {
            return;
        }
        let output: String = naive_ans(&mut proconio::source::auto::AutoSource::from(problem));
        if output == String::new() {
            return;
        }
        assert_eq!(
            output.to_string(),
            solve(&mut proconio::source::auto::AutoSource::from(problem))
        )
    }

    #[test]
    fn naive_test_sample_3(){
        let problem = test_info::SAMPLE_INPUT_3;
        if problem == String::new() {
            return;
        }
        let output: String = naive_ans(&mut proconio::source::auto::AutoSource::from(problem));
        if output == String::new() {
            return;
        }
        assert_eq!(
            output.to_string(),
            solve(&mut proconio::source::auto::AutoSource::from(problem))
        )
    }

    fn naive_ans<T: std::io::Read>(mut source: &mut proconio::source::auto::AutoSource<BufReader<T>>)->String{
        input!{
            from &mut source,
        }
        return "".to_string();
    }
}

/// コピー情報をそのまま貼り付けてテストできる
#[cfg(test)]
mod test_info{
pub const HANDCASE_INPUT: &str = "";
pub const SAMPLE_INPUT_1: &str = "3 5
1 2
2 3
3 5
";
pub const SAMPLE_OUTPUT_1: &str = "2
4
6
7
9
";
pub const SAMPLE_INPUT_2: &str = "3 5
10 10
10 100
100 100
";
pub const SAMPLE_OUTPUT_2: &str = "1
1
1
1
1
";
pub const SAMPLE_INPUT_3: &str = "4 10
1 1
2 3
4 5
8 9
";
pub const SAMPLE_OUTPUT_3: &str = "3
4
4
5
7
8
9
10
12
13
";
}

fn solve<T: std::io::Read>(mut source: &mut proconio::source::auto::AutoSource<BufReader<T>>)->String{
    let mut ans= String::new();
    input!{
        from &mut source,
        n: usize,
        w: usize,
        p: [(usize, u64); n],
    }
    // maxを更新できる価値を与える
    let mut from: Vec<u64> = Vec::new();
    let mut to: Vec<u64> = Vec::new();
    from.resize(w+1,0);
    to.resize(w+1, 0);
    for i in 0..n {
        let (weight, value) = p[i];
        for j in 0..=w {
            if j > 0 {
                to[j] = to[j-1].max(from[j]);
            }
            if j >= weight {
                to[j] = std::cmp::max(to[j], from[j-weight] + value);
            }
        }
        std::mem::swap(&mut from, &mut to);
    }
    let dp = from;
    debug!(dp);
    for x in 1..=w {
        concat_newline(&mut ans, (dp[w] - dp[w-x] + 1).to_string().as_str());
    }
    return ans;
}