#[doc = " https://github.com/hatoo/competitive-rust-snippets"]
#[allow(unused_imports)]
use std::cmp::{max, min, Ordering};
#[allow(unused_imports)]
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
#[allow(unused_imports)]
use std::io::{stdin, stdout, BufWriter, Write};
#[allow(unused_imports)]
use std::iter::FromIterator;
#[macro_export]
macro_rules ! chmax { ( $ x : expr , $ ( $ v : expr ) ,+ ) => { $ ( $ x = std :: cmp :: max ( $ x ,$ v ) ; ) + } ; }
#[macro_export]
macro_rules ! chmin { ( $ x : expr , $ ( $ v : expr ) ,+ ) => { $ ( $ x = std :: cmp :: min ( $ x ,$ v ) ; ) + } ; }
#[macro_export]
macro_rules ! max { ( $ x : expr ) => ( $ x ) ; ( $ x : expr , $ ( $ xs : expr ) ,+ ) => { std :: cmp :: max ( $ x , max ! ( $ ( $ xs ) ,+ ) ) } ; }
#[macro_export]
macro_rules ! min { ( $ x : expr ) => ( $ x ) ; ( $ x : expr , $ ( $ xs : expr ) ,+ ) => { std :: cmp :: min ( $ x , min ! ( $ ( $ xs ) ,+ ) ) } ; }
#[macro_export]
macro_rules ! dvec { ( $ t : expr ; $ len : expr ) => { vec ! [ $ t ; $ len ] } ; ( $ t : expr ; $ len : expr , $ ( $ rest : expr ) ,* ) => { vec ! [ dvec ! ( $ t ; $ ( $ rest ) ,* ) ; $ len ] } ; }
#[allow(unused_macros)]
macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } }
#[macro_export]
macro_rules ! input { ( source = $ s : expr , $ ( $ r : tt ) * ) => { let mut parser = Parser :: from_str ( $ s ) ; input_inner ! { parser , $ ( $ r ) * } } ; ( parser = $ parser : ident , $ ( $ r : tt ) * ) => { input_inner ! { $ parser , $ ( $ r ) * } } ; ( new_stdin_parser = $ parser : ident , $ ( $ r : tt ) * ) => { let stdin = std :: io :: stdin ( ) ; let reader = std :: io :: BufReader :: new ( stdin . lock ( ) ) ; let mut $ parser = Parser :: new ( reader ) ; input_inner ! { $ parser , $ ( $ r ) * } } ; ( $ ( $ r : tt ) * ) => { input ! { new_stdin_parser = parser , $ ( $ r ) * } } ; }
#[macro_export]
macro_rules ! input_inner { ( $ parser : ident ) => { } ; ( $ parser : ident , ) => { } ; ( $ parser : ident , $ var : ident : $ t : tt $ ( $ r : tt ) * ) => { let $ var = read_value ! ( $ parser , $ t ) ; input_inner ! { $ parser $ ( $ r ) * } } ; }
#[macro_export]
macro_rules ! read_value { ( $ parser : ident , ( $ ( $ t : tt ) ,* ) ) => { ( $ ( read_value ! ( $ parser , $ t ) ) ,* ) } ; ( $ parser : ident , [ $ t : tt ; $ len : expr ] ) => { ( 0 ..$ len ) . map ( | _ | read_value ! ( $ parser , $ t ) ) . collect ::< Vec < _ >> ( ) } ; ( $ parser : ident , chars ) => { read_value ! ( $ parser , String ) . chars ( ) . collect ::< Vec < char >> ( ) } ; ( $ parser : ident , usize1 ) => { read_value ! ( $ parser , usize ) - 1 } ; ( $ parser : ident , $ t : ty ) => { $ parser . next ::<$ t > ( ) . expect ( "Parse error" ) } ; }
use std::io;
use std::io::BufRead;
use std::str;
pub struct Parser<R> {
    reader: R,
    buf: Vec<u8>,
    pos: usize,
}
impl Parser<io::Empty> {
    pub fn from_str(s: &str) -> Parser<io::Empty> {
        Parser {
            reader: io::empty(),
            buf: s.as_bytes().to_vec(),
            pos: 0,
        }
    }
}
impl<R: BufRead> Parser<R> {
    pub fn new(reader: R) -> Parser<R> {
        Parser {
            reader: reader,
            buf: vec![],
            pos: 0,
        }
    }
    pub fn update_buf(&mut self) {
        self.buf.clear();
        self.pos = 0;
        loop {
            let (len, complete) = {
                let buf2 = self.reader.fill_buf().unwrap();
                self.buf.extend_from_slice(buf2);
                let len = buf2.len();
                if len == 0 {
                    break;
                }
                (len, buf2[len - 1] <= 0x20)
            };
            self.reader.consume(len);
            if complete {
                break;
            }
        }
    }
    pub fn next<T: str::FromStr>(&mut self) -> Result<T, T::Err> {
        loop {
            let mut begin = self.pos;
            while begin < self.buf.len() && (self.buf[begin] <= 0x20) {
                begin += 1;
            }
            let mut end = begin;
            while end < self.buf.len() && (self.buf[end] > 0x20) {
                end += 1;
            }
            if begin != self.buf.len() {
                self.pos = end;
                return str::from_utf8(&self.buf[begin..end]).unwrap().parse::<T>();
            } else {
                self.update_buf();
            }
        }
    }
}
#[allow(unused_macros)]
macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } }
#[doc = " https://github.com/hatoo/competitive-rust-snippets"]
const BIG_STACK_SIZE: bool = true;
#[allow(dead_code)]
fn main() {
    use std::thread;
    if BIG_STACK_SIZE {
        thread::Builder::new()
            .stack_size(32 * 1024 * 1024)
            .name("solve".into())
            .spawn(solve)
            .unwrap()
            .join()
            .unwrap();
    } else {
        solve();
    }
}
fn solve() {
    let out = stdout();
    let mut out = BufWriter::new(out.lock());

    input!{
        n:usize,
        ab:[(usize,usize);n-1],
        c:[i64;n],
    }

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

    let mut lca = LCA::new(0, &g);
    lca.build();
    let depth = lca.depth;

    let mut V = vec![];
    for i in 0..n {
        V.push((depth[i], i));
    }
    V.sort(); V.reverse();

    let mut c = c;
    c.sort();

    let mut res = vec![0;n];
    for i in 0..n {
        let (_, j) = V[i];
        let cmin = c[i];
        res[j] = cmin;
    }
    
    let mut acc = 0;
    for i in 0..n-1 {
        let (a,b) = ab[i];
        acc += min(res[a-1],res[b-1]);
    }
    println!("{}", acc);
    println!("{}", vec_to_string(&res).connect(" "));
}
pub fn vec_to_string<T: ToString>(xs: &[T]) -> Vec<String> {
    let mut res = vec![];
    for x in xs {
        res.push(x.to_string());
    }
    res
}
struct LCA <'a> {
    root: usize,
    tree: &'a [Vec<usize>],
    parent: Vec<Vec<Option<usize>>>,
    depth: Vec<usize>,
}
#[doc = "compute LCA in directed adjacency graph"]
impl<'a> LCA<'a> {
    fn new(root: usize, tree: &'a [Vec<usize>]) -> Self {
        let n = tree.len();
        let mut log_n = (n as f64).log2().ceil() as usize;
        if log_n == 0 {
            log_n = 1;
        }
        assert!(log_n > 0);
        LCA {
            root: root,
            tree: tree,
            parent: vec![vec![None; n]; log_n],
            depth: vec![0; n],
        }
    }
    fn dfs(&mut self, u: usize, parent: Option<usize>, depth: usize) {
        self.parent[0][u] = parent;
        self.depth[u] = depth;
        for i in 0..self.tree[u].len() {
            let v = self.tree[u][i];
            if Some(v) != parent {
                self.dfs(v, Some(u), depth + 1);
            }
        }
    }
    fn build(&mut self) {
        let root = self.root;
        self.dfs(root, None, 0);
        let mut k = 0;
        while k + 1 < self.parent.len() {
            for u in 0..self.tree.len() {
                if self.parent[k][u].is_some() {
                    self.parent[k + 1][u] = self.parent[k][self.parent[k][u].unwrap()]
                }
            }
            k += 1;
        }
    }
    fn lca(&self, u: usize, v: usize) -> usize {
        let (mut v0, mut v1) = if self.depth[u] <= self.depth[v] {
            (u, v)
        } else {
            (v, u)
        };
        assert!(self.depth[v1] >= self.depth[v0]);
        for k in 0..self.parent.len() {
            if (((self.depth[v1] - self.depth[v0]) >> k) & 1) > 0 {
                assert!(self.parent[k][v1].is_some());
                v1 = self.parent[k][v1].unwrap();
            }
        }
        assert!(self.depth[v1] >= self.depth[v0]);
        assert!(self.depth[v1] == self.depth[v0]);
        if (v0 == v1) {
            return v0;
        }
        for k in (0..self.parent.len()).rev() {
            if self.parent[k][v0] != self.parent[k][v1] {
                assert!(self.parent[k][v0].is_some());
                assert!(self.parent[k][v1].is_some());
                v0 = self.parent[k][v0].unwrap();
                v1 = self.parent[k][v1].unwrap();
            }
        }
        return self.parent[0][v0].unwrap();
    }
}

Measured memory_bytes: 12668