// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#![allow(unused_imports)]
use itertools::Itertools;
use proconio::{input, marker::*};
use std::cmp::*;
use std::collections::*;
use superslice::*;

fn main() {
    input! {
        n: usize,
        e: [[Usize1;2];n-1],
    }

    let mut graph: Vec<Vec<(usize, usize)>> = vec![vec![]; n];
    for (i, v) in e.iter().enumerate() {
        let (from, to) = (v[0], v[1]);
        graph[from].push((to, i));
        graph[to].push((from, i));
    }

    let mut q: VecDeque<(usize, usize)> = VecDeque::new();
    q.push_back((0, 0));

    let mut edges: Vec<usize> = vec![0; n - 1];

    while let Some((node, edge)) = q.pop_front() {
        let mut next_color = 1;
        for &(to, i) in &graph[node] {
            if edges[i] > 0 {
                continue;
            }
            if next_color == edges[edge] {
                next_color += 1;
            }
            edges[i] = next_color;
            q.push_back((to, i));
            next_color += 1;
        }
    }

    println!("{}", edges.iter().max().unwrap());

    for i in edges {
        println!("{}", i);
    }
}
*/

fn main() {
    let exe = "/tmp/binB9FA762E";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAMLVBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAd74BAAAAAAB3vgEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADAQQAAAAAAAMBBAAAAAAAAAAAAAAAAACjtIQAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANw7hWlVUFgh
UAkNFgAAAAAglgMAIJYDAJABAACYAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANEANADxvybRYFAGCSAwAT
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";


Measured memory_bytes: 20924