import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.complex, std.container, std.math, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } int N; string S; int[] A, B; int[][] G; int[] par; long[][] dp, DP; void dfs0(int u, int p) { par[u] = p; foreach (v; G[u]) { if (v != p) { dfs0(v, u); } } dp[u] = [0, 0]; ++dp[u]["cw".indexOf(S[u])]; foreach (v; G[u]) { if (v != p) { dp[u][] += dp[v][]; } } } void dfs1(int u, int p) { long[] sum = [0, 0]; ++sum["cw".indexOf(S[u])]; if (p != -1) { sum[] += DP[u][]; } foreach (v; G[u]) { if (v != p) { sum[] += dp[v][]; } } foreach (v; G[u]) { if (v != p) { DP[v][] = sum[] - dp[v][]; } } foreach (v; G[u]) { if (v != p) { dfs1(v, u); } } } void main() { try { for (; ; ) { N = readInt(); S = readToken(); A = new int[N - 1]; B = new int[N - 1]; foreach (i; 0 .. N - 1) { A[i] = readInt() - 1; B[i] = readInt() - 1; } G = new int[][N]; foreach (i; 0 .. N - 1) { G[A[i]] ~= B[i]; G[B[i]] ~= A[i]; } par = new int[N]; dp = new long[][](N, 2); DP = new long[][](N, 2); const rt = 0; dfs0(rt, -1); dfs1(rt, -1); debug { writeln("rt = ", rt); writeln("dp = ", dp); writeln("DP = ", DP); } long ans; foreach (u; 0 .. N) { if (S[u] == 'w') { long[] sum = [0, 0]; if (par[u] != -1) { sum[] += DP[u][]; } foreach (v; G[u]) { if (v != par[u]) { sum[] += dp[v][]; } } if (par[u] != -1) { ans += DP[u][0] * (sum[1] - DP[u][1]); } foreach (v; G[u]) { if (v != par[u]) { ans += dp[v][0] * (sum[1] - dp[v][1]); } } } } writeln(ans); } } catch (EOFException e) { } }