// Bundled at 2025/03/13 23:37:36 +09:00
// Author: Haar

pub mod main {
    use super::*;
    #[allow(unused_imports)]
    use haar_lib::{get, input, iter::join_str::*, utils::fastio::*};
    #[allow(unused_imports)]
    use std::cell::{Cell, RefCell};
    #[allow(unused_imports)]
    use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet};
    #[allow(unused_imports)]
    use std::io::Write;
    #[allow(unused_imports)]
    use std::rc::Rc;
    #[derive(Clone, Default)]
    pub struct Problem {}
    #[derive(Clone, Debug)]
    struct Poly {
        data: [i64; 11],
    }
    impl Poly {
        fn new() -> Self {
            Self { data: [0; 11] }
        }
        fn add(a: Self, b: Self) -> Self {
            let mut ret = Poly::new();
            for i in 0..=10 {
                ret.data[i] = a.data[i] + b.data[i];
            }
            ret
        }
        fn mul(a: Self, b: Self) -> Self {
            let mut ret = Poly::new();
            for i in 0..=10 {
                for j in 0..=10 {
                    if i + j <= 10 {
                        ret.data[i + j] += a.data[i] * b.data[j];
                    }
                }
            }
            ret
        }
        fn differentiate(a: Self) -> Self {
            let mut ret = Poly::new();
            for i in 0..10 {
                ret.data[i] = a.data[i + 1] * (i + 1) as i64;
            }
            ret
        }
    }
    use std::iter::Peekable;
    struct Parser<I: Iterator> {
        state: Peekable<I>,
    }
    impl<I> Parser<I>
    where
        I: Iterator<Item = char>,
    {
        fn new(s: I) -> Self {
            Self {
                state: s.peekable(),
            }
        }
        fn number(&mut self) -> Option<Poly> {
            let mut ret = Poly::new();
            let mut n = self.state.next()?.to_digit(10)?;
            loop {
                let c = self.state.peek();
                if let Some(c) = c {
                    if let Some(d) = c.to_digit(10) {
                        self.state.next();
                        n = n * 10 + d;
                        continue;
                    }
                }
                break;
            }
            ret.data[0] = n as i64;
            Some(ret)
        }
        fn factor(&mut self) -> Option<Poly> {
            let mut ret = Poly::new();
            let c = *self.state.peek()?;
            match c {
                c if c.is_digit(10) => {
                    ret = self.number()?;
                }
                'x' => {
                    ret.data[1] = 1;
                    self.state.next();
                }
                'd' => {
                    self.state.next();
                    self.state.next();
                    let temp = self.expression()?;
                    ret = Poly::differentiate(temp);
                    self.state.next();
                }
                _ => {
                    return None;
                }
            }
            Some(ret)
        }
        fn term(&mut self) -> Option<Poly> {
            let mut ret = self.factor()?;
            loop {
                if let Some(&c) = self.state.peek() {
                    if c == '*' {
                        self.state.next();
                        let f = self.factor()?;
                        ret = Poly::mul(ret, f);
                        continue;
                    }
                }
                break;
            }
            Some(ret)
        }
        fn expression(&mut self) -> Option<Poly> {
            let mut ret = self.term()?;
            loop {
                if let Some(&c) = self.state.peek() {
                    if c == '+' {
                        self.state.next();
                        let f = self.term()?;
                        ret = Poly::add(ret, f);
                        continue;
                    }
                }
                break;
            }
            Some(ret)
        }
    }
    impl Problem {
        pub fn main(&mut self) -> Result<(), Box<dyn std::error::Error>> {
            let mut io = FastIO::new();
            let _n = io.read_usize();
            let d = io.read_usize();
            let s = io.read_chars();
            let mut parser = Parser::new(s.into_iter());
            let ans = parser.expression().unwrap();
            io.writeln(ans.data.into_iter().take(d + 1).join_str(" "));
            Ok(())
        }
    }
}
fn main() {
    main::Problem::default().main().unwrap();
}
use crate as haar_lib;
pub mod iter {
    pub mod join_str {
        pub trait JoinStr: Iterator {
            fn join_str(self, s: &str) -> String
            where
                Self: Sized,
                Self::Item: ToString,
            {
                self.map(|x| x.to_string()).collect::<Vec<_>>().join(s)
            }
        }
        impl<I> JoinStr for I where I: Iterator + ?Sized {}
    }
}
pub mod macros {
    pub mod io {
        #[macro_export]
        macro_rules! get {
    ( $in:ident, [$a:tt $(as $to:ty)*; $num:expr] ) => {
        {
            let n = $num;
            (0 .. n).map(|_| get!($in, $a $(as $to)*)).collect::<Vec<_>>()
        }
    };

    ( $in:ident, ($($type:tt $(as $to:ty)*),*) ) => {
        ($(get!($in, $type $(as $to)*)),*)
    };

    ( $in:ident, i8 ) => { $in.read_i64() as i8 };
    ( $in:ident, i16 ) => { $in.read_i64() as i16 };
    ( $in:ident, i32 ) => { $in.read_i64() as i32 };
    ( $in:ident, i64 ) => { $in.read_i64() };
    ( $in:ident, isize ) => { $in.read_i64() as isize };

    ( $in:ident, u8 ) => { $in.read_u64() as u8 };
    ( $in:ident, u16 ) => { $in.read_u64() as u16 };
    ( $in:ident, u32 ) => { $in.read_u64() as u32 };
    ( $in:ident, u64 ) => { $in.read_u64() };
    ( $in:ident, usize ) => { $in.read_u64() as usize };

    ( $in:ident, [char] ) => { $in.read_chars() };

    ( $in:ident, $from:tt as $to:ty ) => { <$to>::from(get!($in, $from)) };
}

        #[macro_export]
        macro_rules! input {
    ( @inner $in:ident, mut $name:ident : $type:tt ) => {
        let mut $name = get!($in, $type);
    };

    ( @inner $in:ident, mut $name:ident : $type:tt as $to:ty ) => {
        let mut $name = get!($in, $type as $to);
    };

    ( @inner $in:ident, $name:ident : $type:tt ) => {
        let $name = get!($in, $type);
    };

    ( @inner $in:ident, $name:ident : $type:tt as $to:ty ) => {
        let $name = get!($in, $type as $to);
    };

    ( $in:ident >> $($($names:ident)* : $type:tt $(as $to:ty)*),* ) => {
        $(input!(@inner $in, $($names)* : $type $(as $to)*);)*
    }
}
    }
}
pub mod utils {
    pub mod fastio {
        use std::fmt::Display;
        use std::io::{Read, Write};
        pub struct FastIO {
            in_bytes: Vec<u8>,
            in_cur: usize,
            out_buf: std::io::BufWriter<std::io::Stdout>,
        }
        impl FastIO {
            pub fn new() -> Self {
                let mut s = vec![];
                std::io::stdin().read_to_end(&mut s).unwrap();
                let cout = std::io::stdout();
                Self {
                    in_bytes: s,
                    in_cur: 0,
                    out_buf: std::io::BufWriter::new(cout),
                }
            }
            #[inline]
            pub fn getc(&mut self) -> Option<u8> {
                let c = *self.in_bytes.get(self.in_cur)?;
                self.in_cur += 1;
                Some(c)
            }
            #[inline]
            pub fn peek(&self) -> Option<u8> {
                Some(*self.in_bytes.get(self.in_cur)?)
            }
            #[inline]
            pub fn skip(&mut self) {
                while self.peek().is_some_and(|c| c.is_ascii_whitespace()) {
                    self.in_cur += 1;
                }
            }
            pub fn read_u64(&mut self) -> u64 {
                self.skip();
                let mut ret: u64 = 0;
                while self.peek().is_some_and(|c| c.is_ascii_digit()) {
                    ret = ret * 10 + (self.in_bytes[self.in_cur] - b'0') as u64;
                    self.in_cur += 1;
                }
                ret
            }
            pub fn read_u32(&mut self) -> u32 {
                self.read_u64() as u32
            }
            pub fn read_usize(&mut self) -> usize {
                self.read_u64() as usize
            }
            pub fn read_i64(&mut self) -> i64 {
                self.skip();
                let mut ret: i64 = 0;
                let minus = if self.peek() == Some(b'-') {
                    self.in_cur += 1;
                    true
                } else {
                    false
                };
                while self.peek().is_some_and(|c| c.is_ascii_digit()) {
                    ret = ret * 10 + (self.in_bytes[self.in_cur] - b'0') as i64;
                    self.in_cur += 1;
                }
                if minus {
                    ret = -ret;
                }
                ret
            }
            pub fn read_i32(&mut self) -> i32 {
                self.read_i64() as i32
            }
            pub fn read_isize(&mut self) -> isize {
                self.read_i64() as isize
            }
            pub fn read_f64(&mut self) -> f64 {
                self.read_chars()
                    .into_iter()
                    .collect::<String>()
                    .parse()
                    .unwrap()
            }
            pub fn read_chars(&mut self) -> Vec<char> {
                self.skip();
                let mut ret = vec![];
                while self.peek().is_some_and(|c| c.is_ascii_graphic()) {
                    ret.push(self.in_bytes[self.in_cur] as char);
                    self.in_cur += 1;
                }
                ret
            }
            pub fn write<T: Display>(&mut self, s: T) {
                self.out_buf.write_all(format!("{}", s).as_bytes()).unwrap();
            }
            pub fn writeln<T: Display>(&mut self, s: T) {
                self.write(s);
                self.out_buf.write_all(&[b'\n']).unwrap();
            }
        }
        impl Drop for FastIO {
            fn drop(&mut self) {
                self.out_buf.flush().unwrap();
            }
        }
    }
}