using System; using System.Collections.Generic; using System.IO; using System.Linq; using static System.Math; using System.Text; using System.Threading; using System.Globalization; using System.Runtime.CompilerServices; using Library; namespace Program { public static class ProblemE { static bool SAIKI = false; static public int numberOfRandomCases = 0; static public void MakeTestCase(List _input, List _output, ref Func _outputChecker) { } static public void Solve() { var N = NN; var aList = NNList(N); var bList = NNList(N); var uvList = Repeat(0, N - 1).Select(_ => new { u = NN - 1, v = NN - 1 }).ToArray(); var tree = new LIB_Tree(N); foreach (var item in uvList) tree.AddPath(item.u, item.v); var dp = new long[N, 2]; foreach (var item in tree.BFSFromLeaf(0)) { dp[item.node, 0] = aList[item.node]; foreach (var child in tree.GetSurround(item.node)) { if (child == item.parent) continue; dp[item.node, 0] += Max(dp[child, 0], dp[child, 1]); dp[item.node, 1] += Max(dp[child, 0], dp[child, 1] + bList[item.node] + bList[child]); } } Console.WriteLine(Max(dp[0, 0], dp[0, 1])); } class Printer : StreamWriter { public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { base.AutoFlush = false; } public Printer(Stream stream, Encoding encoding) : base(stream, encoding) { base.AutoFlush = false; } } static LIB_FastIO fastio = new LIB_FastIODebug(); static public void Main(string[] args) { if (args.Length == 0) { fastio = new LIB_FastIO(); Console.SetOut(new Printer(Console.OpenStandardOutput())); } if (SAIKI) { var t = new Thread(Solve, 134217728); t.Start(); t.Join(); } else Solve(); Console.Out.Flush(); } static long NN => fastio.Long(); static double ND => fastio.Double(); static string NS => fastio.Scan(); static long[] NNList(long N) => Repeat(0, N).Select(_ => NN).ToArray(); static double[] NDList(long N) => Repeat(0, N).Select(_ => ND).ToArray(); static string[] NSList(long N) => Repeat(0, N).Select(_ => NS).ToArray(); static long Count(this IEnumerable x, Func pred) => Enumerable.Count(x, pred); static IEnumerable Repeat(T v, long n) => Enumerable.Repeat(v, (int)n); static IEnumerable Range(long s, long c) => Enumerable.Range((int)s, (int)c); static IOrderedEnumerable OrderByRand(this IEnumerable x) => Enumerable.OrderBy(x, _ => xorshift); static IOrderedEnumerable OrderBy(this IEnumerable x) => Enumerable.OrderBy(x.OrderByRand(), e => e); static IOrderedEnumerable OrderBy(this IEnumerable x, Func selector) => Enumerable.OrderBy(x.OrderByRand(), selector); static IOrderedEnumerable OrderByDescending(this IEnumerable x) => Enumerable.OrderByDescending(x.OrderByRand(), e => e); static IOrderedEnumerable OrderByDescending(this IEnumerable x, Func selector) => Enumerable.OrderByDescending(x.OrderByRand(), selector); static IOrderedEnumerable OrderBy(this IEnumerable x) => x.OrderByRand().OrderBy(e => e, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderBy(this IEnumerable x, Func selector) => x.OrderByRand().OrderBy(selector, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderByDescending(this IEnumerable x) => x.OrderByRand().OrderByDescending(e => e, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderByDescending(this IEnumerable x, Func selector) => x.OrderByRand().OrderByDescending(selector, StringComparer.OrdinalIgnoreCase); static string Join(this IEnumerable x, string separator = "") => string.Join(separator, x); static uint xorshift { get { _xsi.MoveNext(); return _xsi.Current; } } static IEnumerator _xsi = _xsc(); static IEnumerator _xsc() { uint x = 123456789, y = 362436069, z = 521288629, w = (uint)(DateTime.Now.Ticks & 0xffffffff); while (true) { var t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); yield return w; } } } } namespace Library { partial class LIB_Tree { int N; List[] path; [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_Tree(long n) { N = (int)n; path = Enumerable.Repeat(0, N).Select(_ => new List()).ToArray(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public void AddPath(long u, long v) { if (u >= N || v >= N) throw new Exception(); path[u].Add((int)v); path[v].Add((int)u); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public int[] GetSurround(long u) => path[u].ToArray(); [MethodImpl(MethodImplOptions.AggressiveInlining)] public List<(long node, long parent)> BFSFromRoot(long root) { var bfsList = new List<(long node, long parent)>(); var q = new Queue(); var done = new bool[N]; bfsList.Add((root, -1)); done[root] = true; q.Enqueue((int)root); while (q.Count > 0) { var w = q.Dequeue(); foreach (var i in path[w]) { if (done[i]) continue; done[i] = true; q.Enqueue(i); bfsList.Add((i, w)); } } return bfsList; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public List<(long node, long parent)> BFSFromLeaf(long root) => BFSFromRoot(root).ToArray().Reverse().ToList(); [MethodImpl(MethodImplOptions.AggressiveInlining)] public List<(long node, long parent, long direction)> EulerTour(long root) { var eulerList = new List<(long node, long parent, long direction)>(); var s = new Stack>(); var done = new bool[N]; done[root] = true; s.Push(Tuple.Create((int)root, -1)); while (s.Count > 0) { var w = s.Peek(); var ad = true; foreach (var i in path[w.Item1]) { if (done[i]) continue; done[i] = true; ad = false; s.Push(Tuple.Create(i, w.Item1)); } if (!ad || path[w.Item1].Count == 1) eulerList.Add((w.Item1, w.Item2, 1)); if (ad) { s.Pop(); eulerList.Add((w.Item1, w.Item2, -1)); } } return eulerList; } } class LIB_FastIO { [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_FastIO() { str = Console.OpenStandardInput(); } readonly Stream str; readonly byte[] buf = new byte[1024]; int len, ptr; public bool isEof = false; public bool IsEndOfStream { [MethodImpl(MethodImplOptions.AggressiveInlining)] get { return isEof; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] byte read() { if (isEof) throw new EndOfStreamException(); if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } [MethodImpl(MethodImplOptions.AggressiveInlining)] char Char() { byte b = 0; do b = read(); while (b < 33 || 126 < b); return (char)b; } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public long Long() { long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } } class LIB_FastIODebug : LIB_FastIO { Queue param = new Queue(); [MethodImpl(MethodImplOptions.AggressiveInlining)] string NextString() { if (param.Count == 0) foreach (var item in Console.ReadLine().Split(' ')) param.Enqueue(item); return param.Dequeue(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_FastIODebug() { } [MethodImpl(MethodImplOptions.AggressiveInlining)] public override string Scan() => NextString(); [MethodImpl(MethodImplOptions.AggressiveInlining)] public override long Long() => long.Parse(NextString()); [MethodImpl(MethodImplOptions.AggressiveInlining)] public override double Double() => double.Parse(NextString()); } }