#[doc = " https://github.com/hatoo/competitive-rust-snippets"]
#[allow(unused_imports)]
use std::cmp::{max, min, Ordering};
#[allow(unused_imports)]
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
#[allow(unused_imports)]
use std::io::{stdin, stdout, BufWriter, Write};
#[allow(unused_imports)]
use std::iter::FromIterator;
#[macro_export]
macro_rules ! dvec { ( $ t : expr ; $ len : expr ) => { vec ! [ $ t ; $ len ] } ; ( $ t : expr ; $ len : expr , $ ( $ rest : expr ) ,* ) => { vec ! [ dvec ! ( $ t ; $ ( $ rest ) ,* ) ; $ len ] } ; }
#[allow(unused_macros)]
macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } }
#[macro_export]
macro_rules ! input { ( source = $ s : expr , $ ( $ r : tt ) * ) => { let mut parser = Parser :: from_str ( $ s ) ; input_inner ! { parser , $ ( $ r ) * } } ; ( parser = $ parser : ident , $ ( $ r : tt ) * ) => { input_inner ! { $ parser , $ ( $ r ) * } } ; ( new_stdin_parser = $ parser : ident , $ ( $ r : tt ) * ) => { let stdin = std :: io :: stdin ( ) ; let reader = std :: io :: BufReader :: new ( stdin . lock ( ) ) ; let mut $ parser = Parser :: new ( reader ) ; input_inner ! { $ parser , $ ( $ r ) * } } ; ( $ ( $ r : tt ) * ) => { input ! { new_stdin_parser = parser , $ ( $ r ) * } } ; }
#[macro_export]
macro_rules ! input_inner { ( $ parser : ident ) => { } ; ( $ parser : ident , ) => { } ; ( $ parser : ident , $ var : ident : $ t : tt $ ( $ r : tt ) * ) => { let $ var = read_value ! ( $ parser , $ t ) ; input_inner ! { $ parser $ ( $ r ) * } } ; }
#[macro_export]
macro_rules ! read_value { ( $ parser : ident , ( $ ( $ t : tt ) ,* ) ) => { ( $ ( read_value ! ( $ parser , $ t ) ) ,* ) } ; ( $ parser : ident , [ $ t : tt ; $ len : expr ] ) => { ( 0 ..$ len ) . map ( | _ | read_value ! ( $ parser , $ t ) ) . collect ::< Vec < _ >> ( ) } ; ( $ parser : ident , chars ) => { read_value ! ( $ parser , String ) . chars ( ) . collect ::< Vec < char >> ( ) } ; ( $ parser : ident , usize1 ) => { read_value ! ( $ parser , usize ) - 1 } ; ( $ parser : ident , $ t : ty ) => { $ parser . next ::<$ t > ( ) . expect ( "Parse error" ) } ; }
use std::io;
use std::io::BufRead;
use std::str;
pub struct Parser<R> {
    reader: R,
    buf: Vec<u8>,
    pos: usize,
}
impl Parser<io::Empty> {
    pub fn from_str(s: &str) -> Parser<io::Empty> {
        Parser {
            reader: io::empty(),
            buf: s.as_bytes().to_vec(),
            pos: 0,
        }
    }
}
impl<R: BufRead> Parser<R> {
    pub fn new(reader: R) -> Parser<R> {
        Parser {
            reader: reader,
            buf: vec![],
            pos: 0,
        }
    }
    pub fn update_buf(&mut self) {
        self.buf.clear();
        self.pos = 0;
        loop {
            let (len, complete) = {
                let buf2 = self.reader.fill_buf().unwrap();
                self.buf.extend_from_slice(buf2);
                let len = buf2.len();
                if len == 0 {
                    break;
                }
                (len, buf2[len - 1] <= 0x20)
            };
            self.reader.consume(len);
            if complete {
                break;
            }
        }
    }
    pub fn next<T: str::FromStr>(&mut self) -> Result<T, T::Err> {
        loop {
            let mut begin = self.pos;
            while begin < self.buf.len() && (self.buf[begin] <= 0x20) {
                begin += 1;
            }
            let mut end = begin;
            while end < self.buf.len() && (self.buf[end] > 0x20) {
                end += 1;
            }
            if begin != self.buf.len() {
                self.pos = end;
                return str::from_utf8(&self.buf[begin..end]).unwrap().parse::<T>();
            } else {
                self.update_buf();
            }
        }
    }
}
#[allow(unused_macros)]
macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } }
#[doc = " https://github.com/hatoo/competitive-rust-snippets"]
const BIG_STACK_SIZE: bool = true;
#[allow(dead_code)]
fn main() {
    use std::thread;
    if BIG_STACK_SIZE {
        thread::Builder::new()
            .stack_size(32 * 1024 * 1024)
            .name("solve".into())
            .spawn(solve)
            .unwrap()
            .join()
            .unwrap();
    } else {
        solve();
    }
}

static mut M: u64 = 0;
fn solve() {
    input!{
        n:usize,m:u64,
        xy:[(usize,usize);n-1]
    }
    unsafe {
        M = m;
    }
    let mut reroot: ReRooting<F> = ReRooting::new(n);
    for (x,y) in xy {
        reroot.connect(x-1, y-1, 1, 1);
    }
    
    let dp = reroot.build();
    for u in 0..n {
        println!("{}", dp[u]);
    }
}
struct F {}
impl Foldable for F {
    type T = u64;
    type Sum = u64;
    fn identity() -> u64 {
        1
    }
    fn fold(acc: u64, x: u64) -> u64 {
        unsafe {
            (acc + x) % M
        }
    }
    fn merge(a: u64, b: u64) -> u64 {
        unsafe {
            (a * b) % M
        }
    }
}
trait Foldable {
    type Sum: Copy + std::fmt::Debug;
    type T: Copy + std::fmt::Debug;
    fn identity() -> Self::Sum;
    fn merge(x: Self::Sum, y: Self::Sum) -> Self::Sum;
    fn fold(acc: Self::Sum, x: Self::T) -> Self::Sum;
}
#[derive(Clone, Copy)]
struct Edge<T, Sum> {
    to: usize,
    data: T,
    dp: Sum,
    ndp: Sum,
}
struct ReRooting<F: Foldable> {
    subdp: Vec<F::Sum>,
    dp: Vec<F::Sum>,
    g: Vec<Vec<Edge<F::T, F::Sum>>>,
}
impl <F: Foldable> ReRooting<F> {
    pub fn new(n: usize) -> ReRooting<F> {
        ReRooting {
            subdp: vec![F::identity(); n],
            dp: vec![F::identity(); n],
            g: vec![vec![]; n],
        }
    }
    pub fn connect(&mut self, u: usize, v: usize, d: F::T, e: F::T) {
        self.g[u].push(Edge {
            to: v,
            data: d,
            dp: F::identity(),
            ndp: F::identity(),
        });
        self.g[v].push(Edge {
            to: u,
            data: e,
            dp: F::identity(),
            ndp: F::identity(),
        });
    }
    fn dfs_sub(&mut self, u: usize, par: Option<usize>) {
        for i in 0..self.g[u].len() {
            let e = self.g[u][i];
            if Some(e.to) == par { continue; }
            self.dfs_sub(e.to, Some(u));
            self.subdp[u] = F::merge(self.subdp[u], F::fold(self.subdp[e.to], e.data));
        }
    }
    fn dfs_all(&mut self, u: usize, par: Option<usize>, top: F::Sum) {
        let mut buf = F::identity();
        for i in 0..self.g[u].len() {
            let e = &mut self.g[u][i];
            e.ndp = buf;
            e.dp = F::fold(if Some(e.to) == par { top } else { self.subdp[e.to] }, e.data);
            buf = F::merge(buf, e.dp);
        }
        self.dp[u] = buf;
        buf = F::identity();
        for i in (0..self.g[u].len()).rev() {
            let e = self.g[u][i];
            if Some(e.to) != par {
                self.dfs_all(e.to, Some(u), F::merge(e.ndp, buf));
            }
            let e = &mut self.g[u][i];
            e.ndp = F::merge(e.ndp, buf);
            buf = F::merge(buf, e.dp);
        }
    }
    pub fn build(&mut self) -> Vec<F::Sum> {
        self.dfs_sub(0, None);
        self.dfs_all(0, None, F::identity());
        self.dp.clone()
    }
}

Measured memory_bytes: 36092