var GET=(function(){function f(s){return new g(s);}function g(s){this._s=s.trim().split("\n");this._y=0;}g.prototype.a=function(f){var s=this._s, y=this._y, r;if(typeof s[y]==="string")s[y]=s[y].split(" ").reverse();r=s[y].pop();if(!s[y].length)this._y++;return f?r:+r;};g.prototype.l=function(f){var s=this._s[this._y++].split(" ");return f?s:s.map(a=>+a);};g.prototype.m=function(n,f){var r=this._s.slice(this._y,this._y+=n).map(a=>a.split(" "));return f?r:r.map(a=>a.map(a=>+a));};g.prototype.r=function(n,f){var r=this._s.slice(this._y,this._y+=n);return f?r:r.map(a=>+a);};return f;})();
var o=GET(require("fs").readFileSync("/dev/stdin","utf8"));
function xArray(v){var a=arguments,l=a.length,r="Array(a["+--l+"]).fill(0).map(x=>{return "+v+";})";while(--l)r="Array(a["+l+"]).fill(0).map(x=>"+r+")";return eval(r);}

console.log(main());
function main(){
  var n = o.a();
  var e = xArray("new Set()",n);
  var set = new Set();
  set.add(0);
  for(var i = 1; i < n; i++){
    var t = o.l(), a = t[0]-1, b = t[1]-1;
    e[a].add(b);
    e[b].add(a);
    set.add(i);
  }
  var c = o.l().sort((a,b)=>a-b);
  var x = 0;
  var p = 0, ans = Array(n), x = 0;
  while(x < n){
    var d = [];
    for(var i of set){
      if(e[i].size > 1)continue;
      d.push(i);
      ans[i] = c[x++];
      p += ans[i];
    }
    for(i of d){
      for(var j of e[i]){
        e[j].delete(i);
      }
      set.delete(i);
    }
  }
  console.log(p-c[n-1]);
  return ans.join(" ");
}