// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#![allow(unused_imports)]
#![allow(unused_mut)]

// https://github.com/tanzaku/rust-procon-lib
extern crate rust_procon_lib;

use rust_procon_lib::modcomb::*;
use rust_procon_lib::modint::*;
use rust_procon_lib::tree::*;
use rust_procon_lib::scanner::*;

fn main() {
    let mut sc = Scanner::from_stdin();

    let n = sc.usize();
    let es = sc.edges(n - 1);
    let tree = Tree::new(n, &es);

    let comb = ModComb::new(n + 1);
    let mut size = vec![0; n];
    let mut val = vec![ModInt::from(1); n];
    for &v in tree.rdfs_order() {
        for &t in &tree.edges[v] {
            size[v] += size[t];
            val[v] = val[v] * val[t] * comb.comb(size[v], size[t]);
        }
        size[v] += 1;
    }

    let mut ans = vec![ModInt::from(0); n];
    for &v in tree.dfs_order() {
        if let Some(p) = tree.parent[v] {
            let x = ans[p] * (val[v] * comb.comb(n - 1, size[v])).inv();
            ans[v] += val[v] * x * comb.comb(n - 1, size[v] - 1);
        } else {
            ans[v] += val[v];
        }
    }

    ans.iter().for_each(|a| println!("{}", a));
}
*/

fn main() {
    let exe = "/tmp/binE0AC5F4F";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEL9BAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAV8gBAAAAAABXyAEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADQQQAAAAAAANBBAAAAAAAAAAAAAAAAAKjsIQAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAN07829VUFgh
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";


Measured memory_bytes: 35852