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; int[] Val; 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); } var who = new List(); var pos = new List[N]; for (int i = 0; i < N; i++) pos[i] = new List(); Rec(0, -1, G, Val, who, pos); long totalA = Val.Count(c => c == 0); long totalB = N - totalA; var As = new long[who.Count]; var Bs = new long[who.Count]; for (int i = 0; i < who.Count; i++) if (i == pos[who[i]][0]) if (Val[who[i]] == 0) As[i]++; else Bs[i]++; for (int i = 1; i < As.Length; i++) { As[i] += As[i - 1]; Bs[i] += Bs[i - 1]; } for (int root = 0; root < N; root++) if (Val[root] == 1) { long remA = totalA, remB = totalB - 1, curr = 0; for (int i = 0; i + 1 < pos[root].Count; i++) { int L = pos[root][i], R = pos[root][i + 1] - 1; long a = As[R] - As[L]; long b = Bs[R] - Bs[L]; curr += a * (totalB - 1 - b); curr += b * (totalA - a); remA -= a; remB -= b; } curr += remA * (totalB - 1 - remB); curr += remB * (totalA - remA); ans += curr / 2; } Console.WriteLine(ans); Console.ReadLine(); } void Rec(int a, int prev, List[] G, int[] Val, List who, List[] positions) { positions[a].Add(who.Count); who.Add(a); foreach (int b in G[a]) if (b != prev) { Rec(b, a, G, Val, who, positions); positions[a].Add(who.Count); who.Add(a); } } } 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; } }