using System; using System.IO; using System.Linq; using System.Text; using System.Text.RegularExpressions; using System.Collections.Generic; using System.Diagnostics; using Enu = System.Linq.Enumerable; using System.Numerics; public class Program { long ans = 0, TotalA, TotalB; int[] Val; long[] SumA, SumB; List[] G; public void Solve() { int N = Reader.Int(); Val = Reader.String().Select(c => c == 'c' ? 0 : 1).ToArray(); G = Enu.Range(0, N).Select(i => new List()).ToArray(); for (int i = 0; i < N - 1; i++) { int a = Reader.Int() - 1, b = Reader.Int() - 1; G[a].Add(b); G[b].Add(a); } SumA = new long[N]; SumB = new long[N]; TotalA = Val.Count(c => c == 0); TotalB = N - TotalA; Rec(0, 0); Console.WriteLine(ans); } private void Rec(int at, int prev) { foreach (int next in G[at]) if (next != prev) { Rec(next, at); SumA[at] += SumA[next]; SumB[at] += SumB[next]; if (Val[at] == 1) ans += SumA[next] * (TotalB - 1 - SumB[next]); } if (Val[at] == 0) SumA[at]++; else { ans += (TotalA - SumA[at]) * SumB[at]; SumB[at]++; } } } class Entry { static void Main() { new Program().Solve(); } } class Reader { static TextReader reader = Console.In; static readonly char[] separator = { ' ' }; static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; static string[] A = new string[0]; static int i; static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Range(N, Int); } public static int[][] IntTable(int H) { return Range(H, IntLine); } public static string[] StringArray(int N) { return Range(N, Next); } public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); } public static string Line() { return reader.ReadLine().Trim(); } static string[] Split(string s) { return s.Split(separator, op); } static T[] Range(int N, Func f) { var r = new T[N]; for (int i = 0; i < N; r[i++] = f()) ; return r; } static string Next() { CheckNext(); return A[i++]; } static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }