// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use competitive::graph::ListTree;
use competitive::prelude::*;

fn main() {
    input! {
        g: ListTree,
    }

    let n = g.len();

    // let mut g = vec![vec![]; n];
    // for (u, v) in ab {
    //     g[u].push(v);
    //     g[v].push(u);
    // }

    let mut dmap = vec![0; n];

    dfs(0, None, 0, &g, &mut dmap);

    let mut even = 0;

    for i in 0..n {
        if dmap[i] % 2 == 0 {
            even += 1;
        }
    }

    let odd = n - even;

    let mut alloc = vec![0; n];

    let mut qs = vec![vec![]; 3];
    for i in 1..=n {
        qs[i % 3].push(i);
    }

    if odd * 3 > n && even * 3 > n {
        for i in 0..n {
            alloc[i] = if dmap[i] % 2 == 0 {
                qs[1].pop().unwrap_or_else(|| qs[0].pop().unwrap())
            } else {
                qs[2].pop().unwrap_or_else(|| qs[0].pop().unwrap())
            }
        }
    } else if even * 3 <= n {
        for i in 0..n {
            alloc[i] = if dmap[i] % 2 == 0 {
                qs[0].pop().unwrap()
            } else {
                qs[1]
                    .pop()
                    .unwrap_or_else(|| qs[2].pop().unwrap_or_else(|| qs[0].pop().unwrap()))
            }
        }
    } else {
        for i in 0..n {
            alloc[i] = if dmap[i] % 2 == 1 {
                qs[0].pop().unwrap()
            } else {
                qs[1]
                    .pop()
                    .unwrap_or_else(|| qs[2].pop().unwrap_or_else(|| qs[0].pop().unwrap()))
            }
        }
    }

    echo!(alloc);
}

fn dfs(cur: usize, prev: Option<usize>, dep: usize, g: &Vec<Vec<usize>>, dmap: &mut Vec<usize>) {
    dmap[cur] = dep;

    for &next in g[cur].iter() {
        if Some(next) == prev {
            continue;
        }

        dfs(next, Some(cur), dep + 1, g, dmap);
    }
}
*/

fn main() {
    let exe = "/tmp/binF53CBC35";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAKLhBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAKMABAAAAAAAowAEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAoDQAAAAAAACitYwAAAAAAKK1jAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAKutJZtVUFgh
CAgNFgAAAABwlgMAcJYDAMgBAACnAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANYANADxvybRYFAHCSAwAT
gR27ezgABwUQAA8rBQAALSFP2EAHeHQDANvs+84gADcGDXYXB2PCPjshuBstCDcAN7IFG2wEA8iyB0CD
TMgTJAAABAfBjrBgC28wJ/L7lrDIbQBQ5XRkNwwuQp6QbQdDBAoACmwz2DdRBgAACAt28hAAUm+nYAgJ
++AZAAe5AAAAAAAAkAD/sHIDAHmvAQACSQ0A/990ywQAFAMDR05VAIO3u3Qb6gxbsf////8mz94gzD81
HVw6XlBYwwBBV0FWMcBBVUFUSYPM/1VTSbeX//+J/kyJz06NLAJIg+xISIk0JEwkCBPhTJv7b3cHKPKu
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";


Measured memory_bytes: 31572