#!/usr/bin/env python3 # %% import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines # %% N = int(readline()) S = ' ' + readline().decode().rstrip() m = map(int, read().split()) AB = zip(m, m) # %% graph = [[] for _ in range(N + 1)] for a, b in AB: graph[a].append(b) graph[b].append(a) # %% root = 1 parent = [0] * (N + 1) order = [] stack = [root] while stack: x = stack.pop() order.append(x) for y in graph[x]: if y == parent[x]: continue parent[y] = x stack.append(y) # %% dp1_w = [0] * (N + 1) dp1_ww = [0] * (N + 1) for v in order[::-1]: p = parent[v] dp1_w[p] += dp1_w[v] dp1_ww[p] += dp1_ww[v] if S[v] == 'w': dp1_w[p] += 1 dp1_ww[p] += dp1_w[v] dp1_w, dp1_ww # %% dp2_w = [0] * (N + 1) dp2_ww = [0] * (N + 1) for v in order[1:]: p = parent[v] if S[p] == 'w' and S[v] == 'w': dp2_w[v] = dp2_w[p] + dp1_w[p] - (1 + dp1_w[v]) + 1 dp2_ww[v] = (dp2_ww[p] + dp2_w[p]) + (dp1_ww[p] + dp1_w[p]) - (dp1_ww[v] + 2 * dp1_w[v] + 1) elif S[p] == 'w' and S[v] == 'c': dp2_w[v] = dp2_w[p] + dp1_w[p] - (dp1_w[v]) + 1 dp2_ww[v] = (dp2_ww[p] + dp2_w[p]) + (dp1_ww[p] + dp1_w[p]) - dp1_w[v] - dp1_ww[v] elif S[p] == 'c' and S[v] == 'w': dp2_w[v] = dp2_w[p] + dp1_w[p] - (1 + dp1_w[v]) dp2_ww[v] = dp2_ww[p] + dp1_ww[p] - (dp1_ww[v] + dp1_w[v]) elif S[p] == 'c' and S[v] == 'c': dp2_w[v] = dp2_w[p] + dp1_w[p] - dp1_w[v] dp2_ww[v] = dp2_ww[p] + dp1_ww[p] - dp1_ww[v] dp2_w, dp2_ww # %% ww = [x + y for x, y in zip(dp1_ww, dp2_ww)] answer = sum(x * (ch == 'c') for x, ch in zip(ww, S)) print(answer)