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

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

    let mut edges = vec![Vec::new(); n];
    for i in 0..n-1 {
        let (a, b) = ab[i];
        edges[a].push((b, i));
        edges[b].push((a, i));
    }

    let mut colors = vec![0; n-1];
    let mut visited = vec![false; n];
    let mut que = VecDeque::new();
    que.push_back((0, 0));
    visited[0] = true;
    let mut max_colors = 0i64;
    while let Some((node, color)) = que.pop_front() {
        let mut next_color = 0;
        for &(next_node, edge_id) in &edges[node] {
            if visited[next_node] {
                continue;
            }
            next_color += 1;
            if next_color == color {
                next_color += 1;
            }
            que.push_back((next_node, next_color));
            visited[next_node] = true;
            colors[edge_id] = next_color;
        }
        max_colors = max(max_colors, next_color);
    }
    println!("{}", max_colors);
    for color in colors {
        println!("{}", color);
    }
}
*/

fn main() {
    let exe = "/tmp/bin3E651302";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAIAJCAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAIAoCAAAAAAAgCgIAAAAAAAAAIAAAAAAA
AQAAAAYAAABIDQAAAAAAAEh9ZAAAAAAASH1kAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANmu/qtVUFgh
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";


Measured memory_bytes: 13372