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

fn main() {
    input! {
        n: usize,
        edge: [(Usize1, Usize1); n-1]
    }
    let mut tree = vec![vec![]; n];
    let mut d = 0;
    for (i, (a, b)) in edge.iter().enumerate() {
        tree[*a].push((*b, i));
        tree[*b].push((*a, i));
        d = std::cmp::max(d, tree[*a].len());
        d = std::cmp::max(d, tree[*b].len());
    }
    println!("{}", d);
    let mut color = vec![-1; n - 1];
    let mut q = std::collections::VecDeque::new();
    q.push_back((0, 0, -1));
    while let Some((v, p, c)) = q.pop_front() {
        let mut nc = 0;
        for &(n, i) in &tree[v] {
            if n != p {
                if nc == c {
                    nc += 1;
                }
                color[i] = nc + 1;
                q.push_back((n, v, nc));
                nc += 1;
            }
        }
    }
    for c in color {
        println!("{}", c);
    }
}
*/

fn main() {
    let exe = "/tmp/binBF9F8486";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAHCCAwAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAkGcDAAAAAACQZwMAAAAAAAAAIAAAAAAA
AQAAAAYAAADAaQMAAAAAAMBpYwAAAAAAwGljAAAAAAAYGAAAAAAAAGgzAAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
wGkDAAAAAADAaWMAAAAAAMBpYwAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAADsIQMA
AAAAAOwhQwAAAAAA7CFDAAAAAADsCQAAAAAAAOwJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAwGkDAAAAAADAaWMA
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Measured memory_bytes: 16584