// 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::*;
#[allow(unused_imports)]
use std::cmp::*;
#[allow(unused_imports)]
use std::collections::*;
#[allow(unused_imports)]
use std::f64::consts::*;

#[allow(unused)]
const INF: usize = std::usize::MAX / 4;
#[allow(unused)]
const M: usize = 1000000007;

fn main() {
    input! {
        n: usize,
        ab: [(Usize1, Usize1); n - 1],
        mut c: [usize; n],
    }
    c.sort();

    let mut graph = vec![vec![]; n];
    for &(ai, bi) in &ab {
        graph[ai].push(bi);
        graph[bi].push(ai);
    }

    let s = c.iter().sum::<usize>() - c[n - 1];

    let mut d = vec![INF; n];
    let mut queue = VecDeque::new();
    queue.push_back(0);
    while let Some(u) = queue.pop_front() {
        d[u] = c.pop().unwrap();
        for &v in &graph[u] {
            if d[v] == INF {
                queue.push_back(v);
            }
        }
    }

    let mut t = 0;
    for &(ai, bi) in &ab {
        t += min(d[ai], d[bi]);
    }
    eprintln!("{}", t);

    println!("{}", s);
    for i in 0..n {
        print!("{} ", d[i]);
    }
    println!("");
}
*/

fn main() {
    let exe = "/tmp/bin0E57E92D";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAGCiAwAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAACIYDAAAAAAAIhgMAAAAAAAAAIAAAAAAA
AQAAAAYAAACgiAMAAAAAAKCIYwAAAAAAoIhjAAAAAAA4GQAAAAAAAMg0AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAKCIAwAAAAAAoIhjAAAAAACgiGMAAAAAADAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
7DoDAAAAAADsOkMAAAAAAOw6QwAAAAAARAoAAAAAAABECgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAKCIAwAAAAAA
oIhjAAAAAACgiGMAAAAAAGAXAAAAAAAAYBcAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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Measured memory_bytes: 8828