using System; using System.Linq; using System.Linq.Expressions; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; using Point = System.Numerics.Complex; using Number = System.Numerics.BigInteger; namespace Program { public class Solver { public void Solve() { var n = sc.Integer(); var a = sc.Integer(n); var T = new TreeGraph(n, a); for (int i = 0; i < n - 1; i++) { var f = sc.Integer() - 1; var t = sc.Integer() - 1; T.AddEdge(f, t); } IO.Printer.Out.WriteLine(T.Walk(0)); } public bool ok(int a, int b, int c) { if (a == b || b == c || a == c) return false; if (a < b && b > c) return true; if (a > b && b < c) return true; return false; } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region main static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, T[] source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, T[] source) { base.WriteLine(format, source.OfType().ToArray()); } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n'; b = (char)read()) if (b == 0) break; else if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != 0 && b != '-' && (b < '0' || '9' < b)); if (b == 0) return long.MinValue; 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'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } #endregion #region TreeEdge public struct Edge { public int from, to; public Edge(int f, int t) { from = f; to = t; } public override string ToString() { return string.Format("{0}->{1}", from, to); } } #endregion #region Treegraph public class TreeGraph { public int n; public List[] G; long[] dp; public int[] val; public int[] par; public TreeGraph(int N, int[] a) { val = a; n = N; dp = new long[N]; par = new int[N]; G = new List[N]; for (int i = 0; i < N; i++) G[i] = new List(); } public void AddEdge(int f, int t) { G[f].Add(new Edge(f, t)); G[t].Add(new Edge(t, f)); } public long Walk(int root) { var stack = new Stack(); var iter = new int[n]; stack.Push(root); var ptr = 0; long ans = 0; par[root] = -1; while (stack.Any()) { var p = stack.Peek(); ptr++; if (iter[p] < G[p].Count && G[p][iter[p]].to == par[p]) iter[p]++; if (iter[p] == G[p].Count) { stack.Pop(); var map = new SortedMap(); foreach (var e in G[p]) { if (e.to == par[p]) continue; map[val[e.to]] = Math.Max(map[val[e.to]], dp[e.to]); } var small = 0L; var scnt = 0L; var large = 0L; var lcnt = 0L; foreach (var kv in map) { if (kv.Key < val[p]) { small += kv.Value; scnt++; } if (kv.Key > val[p]) { large += kv.Value; lcnt++; } } ans = Math.Max(ans, small + scnt * (scnt - 1) / 2); ans = Math.Max(ans, large + lcnt * (lcnt - 1) / 2); if (par[p] != -1) { long parv; if (map.TryGetValue(val[par[p]], out parv)) { if (val[par[p]] < val[p]) { small -= parv; scnt--; } if (val[par[p]] > val[p]) { large -= parv; lcnt--; dp[p] = Math.Max(dp[p], large + lcnt * (lcnt - 1) / 2 + lcnt); } } if (val[par[p]] < val[p]) dp[p] = Math.Max(dp[p], small + scnt * (scnt - 1) / 2 + scnt); if (val[par[p]] > val[p]) dp[p] = Math.Max(dp[p], large + lcnt * (lcnt - 1) / 2 + lcnt); } } else { var to = G[p][iter[p]].to; iter[p]++; stack.Push(to); par[to] = p; } } return ans; } } #endregion #region SortedMap class SortedMap : SortedDictionary { new public V this[K i] { get { V v; return TryGetValue(i, out v) ? v : base[i] = default(V); } set { base[i] = value; } } } #endregion