using System;
using System.Collections.Generic;
using System.Linq;
using static System.Console;
using static System.Convert;
using static System.Math;
//using Debug;
//using static System.Globalization.CultureInfo;
//using Edge = Pair<long, int>;
using System.Text;
class Program
{ 
    static void Main(string[] args)
    {
        Solve();
        //WriteLine(Solve());
    }
    static long res;
    static int num;
    static int[][] ab;
    static Pair<int, List<int>>[] adj;
    static int[] len;
    static int[] cs;
    static void Solve()
    {
        num = Input.num;
        ab = Input.ar2D(num-1);
        adj = Enumerable.Range(0, num).Select(v => new Pair<int,List<int>>(v,new List<int>())).ToArray();
        for(var i = 0; i < num - 1; i++)
        {
            ab[i][0]--;ab[i][1]--;
            adj[ab[i][0]].v2.Add(ab[i][1]);
            adj[ab[i][1]].v2.Add(ab[i][0]);
        }
        cs = Input.ar.OrderByDescending(v=>v).ToArray();
        len = Enumerable.Repeat(-1, num).ToArray();
        var max = adj[0];
        for (var i = 1; i < num; i++)
            if (max.v2.Count < adj[i].v2.Count)
                max = adj[i];
        var l = 1;len[max.v1] = cs[0];
        foreach (var ad in max.v2)
            dfs(ad, ref l);
        WriteLine(res);
        WriteLine(string.Join(" ", len));
    }
    static void dfs(int index,ref int l)
    {
        res += cs[l];
        len[index]=cs[l];
        l++;
        foreach (var ad in adj[index].v2)
        {
            if (len[ad] != -1) continue;
            dfs(ad, ref l);
        }
    }
}

public class Input
{
    public static string read => ReadLine().Trim();
    public static int[] ar => read.Split(' ').Select(int.Parse).ToArray();
    public  static int num => ToInt32(read);
    public static long[] arL => read.Split(' ').Select(long.Parse).ToArray();
    public  static long numL => ToInt64(read);
    public static char[][] gred(int h) 
        => Enumerable.Repeat(0, h).Select(_ => read.ToCharArray()).ToArray();
    public static int[] ar1D(int n)
        => Enumerable.Repeat(0, n).Select(_ => num).ToArray();
    public static long[] arL1D(int n)
        => Enumerable.Repeat(0, n).Select(_ => numL).ToArray();
    public static int[][] ar2D(int n)
        => Enumerable.Repeat(0, n).Select(_ => ar).ToArray();
    public static long[][] arL2D(int n)
        => Enumerable.Repeat(0, n).Select(_ => arL).ToArray();
    public static T getValue<T>(string g)
    {
        var t = typeof(T);
        if (t == typeof(int))
            return (T)(object)int.Parse(g);
        if (t == typeof(long))
            return (T)(object)long.Parse(g);
        if (t == typeof(string))
            return (T)(object)g;
        if (t == typeof(char))
            return (T)(object)char.Parse(g);
        if (t == typeof(double))
            return (T)(object)double.Parse(g);
        if (t == typeof(bool))
            return (T)(object)bool.Parse(g);
        return default(T);
    }
    public const long Inf = (long)1e18;
    public const double eps = 1e-6;
    public  const string Alfa = "abcdefghijklmnopqrstuvwxyz";
    public  const int MOD = 1000000007;
}

public class Pair<T1, T2> : IComparable<Pair<T1, T2>>
{
    public T1 v1 { get; set; }
    public T2 v2 { get; set; }
    public Pair() : this(default(T1), default(T2)) { }
    public Pair(T1 v1, T2 v2)
    { SetValue(v1, v2); }

    public int CompareTo(Pair<T1, T2> p)
    {
        var c = Comparer<T1>.Default.Compare(v1, p.v1);
        if (c == 0)
            c = Comparer<T2>.Default.Compare(v2, p.v2);
        return c;
    }
    public void SetValue(T1 v1,T2 v2) { this.v1 = v1;this.v2 = v2; }
    public static Pair<T1, T2> MakePair()
    {
        var r = ReadLine().Split(' ');
        return new Pair<T1, T2>(Input.getValue<T1>(r[0]), Input.getValue<T2>(r[1]));
    }
    public override string ToString()
        => $"{v1.ToString()} {v2.ToString()}";
}


Measured memory_bytes: 24284