// author: camypaper
using System;
using System.Linq;
using System.Collections.Generic;
using System.Diagnostics;
using Debug = System.Diagnostics.Trace;
using SB = System.Text.StringBuilder;
using static System.Math;
using static System.Numerics.BigInteger;
using static Program.IO.Scanner;
using Number = System.Int64;

#region IO
namespace Program.IO {
	using System.IO;
	using System.Text;
	using System.Globalization;

	public class Printer : StreamWriter {
		public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
		public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
	}
	static public class Scanner {
		public static StreamScanner sc = new StreamScanner(Console.OpenStandardInput());
		public static int ri => sc.Integer();
		public static long rl => sc.Long();
		public static string rs => sc.Scan();
		public static double rd => sc.Double();
	}
	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 != 0; b = (char)read()) if (b != '\r') sb.Append(b);
			return sb.ToString();
		}
		public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); }
		public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); }
		public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); }
	}

}

#endregion

#region main
static class Ex {
	static public string AsString(this IEnumerable<char> ie) { return new string(ie.ToArray()); }
	static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") {
		return string.Join(st, ie);
	}
	static public void Main() {
		Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = false });
		var solver = new Program.Solver();
		var t = new System.Threading.Thread(solver.Solve, 100000000);
		t.Start();
		t.Join();
		//*/
		//solver.Solve();
		Console.Out.Flush();
	}
}
#endregion

namespace Program {
	public class Solver {
		Random rnd = new Random(0);
		public void Solve() {
			var n = ri;
			var col = Enumerate(n, x => ri - 1);
			var G = Enumerate(n, x => new List<int>());
			var FT = new int[n - 1];
			var sub = new int[n - 1];
			var root = new int[n];
			for (int i = 0; i < n - 1; i++) {
				var u = ri - 1;
				var v = ri - 1;
				G[u].Add(i); G[v].Add(i);
				FT[i] = u ^ v;
			}
			var ans = Enumerate(n, x => 1L * n * (n + 1) / 2);
			Debug.WriteLine(ans.AsJoinedString());
			Func<int, int, int[], int> dfs = null;
			dfs = (prev, cur, par) => {
				var c = col[cur];
				var ret = 0;
				foreach (var id in G[cur]) {
					var t = FT[id] ^ cur;
					if (t == prev) continue;
					var tmp = par[c];
					par[c] = id;
					var sz = dfs(cur, t, par);
					par[c] = tmp;
					ret += sz;
					long k = sz - sub[id];
					Debug.WriteLine($"{cur} {t} {k}");
					ans[c] -= k * (k + 1) / 2;
				}
				ret++;
				if (par[c] != -1)
					sub[par[c]] += ret;
				else root[c] += ret;
				return ret;
			};
			dfs(-1, 0, Enumerate(n, x => -1));
			for (int c = 0; c < n; c++) {
				var k = n - root[c];
				ans[c] -= 1L * k * (k + 1) / 2;
			}
			foreach (var x in ans)
				Console.WriteLine(x);
		}

		const long INF = 1L << 60;
		static int[] dx = { -1, 0, 1, 0 };
		static int[] dy = { 0, 1, 0, -1 };
		static T[] Enumerate<T>(int n, Func<int, T> f) {
			var a = new T[n]; for (int i = 0; i < a.Length; ++i) a[i] = f(i); return a;
		}
		static T[][] Enumerate<T>(int n, int m, Func<int, int, T> f) {
			return Enumerate(n, x => Enumerate(m, y => f(x, y)));
		}
		static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
	}
}


Measured memory_bytes: 105152