/** * @FileName a.cpp * @Author kanpurin * @Created 2020.06.04 15:55:57 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; using T = pair< ll, ll >; int n; vector< vector< int > > tree; vector< T > dist; ll ans; string s; void dfs1(int v, int p = -1) { T res = {0, 0}; if (s[v] == 'c') { res.first++; } else { res.second++; } for (auto& u : tree[v]) { if (u == p) continue; dfs1(u, v); res.first += dist[u].first; res.second += dist[u].second; } dist[v] = res; } void dfs2(int v, T d_par, int p = -1) { if (s[v] == 'w') { for (auto& u : tree[v]) { if (u == p) { ans += d_par.first * (dist[v].second - 1); } else { ans += (dist[u].first) * (dist[v].second - 1 - dist[u].second + d_par.second); } } } auto f = [](T a, T b) { return make_pair(a.first + b.first, a.second + b.second); }; T e = {0, 0}; vector< T > lf(tree[v].size(), e), ri(tree[v].size(), e); for (int i = 1; i < tree[v].size(); i++) { if (tree[v][i - 1] == p) lf[i] = f(d_par, lf[i - 1]); else lf[i] = f(dist[tree[v][i - 1]], lf[i - 1]); } for (int i = tree[v].size() - 2; i >= 0; i--) { if (tree[v][i + 1] == p) ri[i] = f(d_par, ri[i + 1]); else ri[i] = f(dist[tree[v][i + 1]], ri[i + 1]); } for (int i = 0; i < tree[v].size(); i++) { if (tree[v][i] == p) continue; auto next = f(lf[i], ri[i]); if (s[v] == 'c') { next.first++; } else { next.second++; } dfs2(tree[v][i], next, v); } } int main() { cin >> n; tree.resize(n); dist.resize(n); cin >> s; for (int i = 0; i < n - 1; i++) { int u, v; cin >> u >> v; u--; v--; tree[u].push_back(v); tree[v].push_back(u); } dfs1(0); dfs2(0, {0, 0}); cout << ans << endl; return 0; }