// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::input;
use proconio::marker::*;

#[modtype::use_modtype]
type F = modtype::F<1_000_000_007u64>;

fn gen_factorial(n: usize) -> (Vec<F>, Vec<F>) {
    let mut p = vec![F(1); n + 1];
    let mut r = vec![F(1); n + 1];

    for i in 0..n {
        p[i + 1] = p[i] * F((i + 1) as u64);
    }
    r[n] = F(1) / p[n];
    for i in (0..n).rev() {
        r[i] = r[i + 1] * F((i + 1) as u64);
    }
    (p, r)
}

fn main() {
    input! {
        n : usize,
        e : [(Usize1, Usize1); n-1]
    }

    let (pos, neg) = gen_factorial(n + 10);
    let binomial = |n: usize, r: usize| pos[n] * neg[r] * neg[n - r];

    #[derive(Clone, Copy, Debug)]
    struct DP(F, usize);

    let add = |l: &DP, r: &DP| DP(l.0 * r.0 * binomial(l.1 + r.1, r.1), l.1 + r.1);
    let sub = |l: &DP, r: &DP| DP(l.0 / (r.0 * binomial(l.1, l.1 - r.1)), l.1 - r.1);
    let add_root = |x: &DP| DP(x.0, x.1 + 1);

    let tree = kyopro_lib::tree::Tree::new_with_edge(&e);
    let mut dp = vec![DP(F(1), 0); n];
    tree.dfs(
        0,
        |_| DP(F(1), 0),
        |_, _| {},
        |s: &mut DP, x| {
            *s = add(s, &add_root(&x));
        },
        |i, x| {
            dp[i] = x;
            x
        },
    );
    tree.dfs(
        0,
        |_| {},
        |r, n| {
            let d = sub(&dp[r], &add_root(&dp[n]));
            dp[n] = add(&dp[n], &add_root(&d));
        },
        |_, _| {},
        |_, _| {},
    );
    for x in dp {
        println!("{}", x.0);
    }
}
*/

fn main() {
    let exe = "/tmp/binC7582F57";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAHCSAwAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA8HEDAAAAAADwcQMAAAAAAAAAIAAAAAAA
AQAAAAYAAACAeQMAAAAAAIB5YwAAAAAAgHljAAAAAABYGAAAAAAAAKgzAAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
gHkDAAAAAACAeWMAAAAAAIB5YwAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAABsKwMA
AAAAAGwrQwAAAAAAbCtDAAAAAAAMCgAAAAAAAAwKAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAgHkDAAAAAACAeWMA
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Measured memory_bytes: 31448