#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint; void dfs(vector> &graph, vector &isvisited, ll v, vector> &treedp, string &S) { isvisited[v] = true; ll ret1 = 0; ll ret2 = 0; if (S[v] == 'c') { ret1 += 1; } else { ret2 += 1; } for (ll x : graph[v]) { if (isvisited[x]) { continue; } dfs(graph, isvisited, x, treedp, S); ret1 += treedp[x][0]; ret2 += treedp[x][1]; } treedp[v][0] = ret1; treedp[v][1] = ret2; } int main() { ll N; cin >> N; string S; cin >> S; vector a(N - 1); vector b(N - 1); for (ll i = 0; i < N - 1; i++) { cin >> a[i] >> b[i]; a[i]--; b[i]--; } vector> graph(N, vector(0)); for (ll i = 0; i < N - 1; i++) { graph[a[i]].push_back(b[i]); graph[b[i]].push_back(a[i]); } vector> treedp(N, vector(2, 0)); vector isvisited(N, false); dfs(graph, isvisited, 0, treedp, S); // debug(treedp); ll ans = 0; ll all_c = treedp[0][0]; ll all_w = treedp[0][1]; for (ll i = 0; i < N; i++) { if (S[i] == 'c') { continue; } ll upc = all_c; ll upw = all_w - 1; for (ll j = 0; j < graph[i].size(); j++) { ll cnt_c = treedp[graph[i][j]][0]; ll cnt_w = treedp[graph[i][j]][1]; if (cnt_c + cnt_w <= treedp[i][0] + treedp[i][1]) { upc -= cnt_c; upw -= cnt_w; } } for (ll j = 0; j < graph[i].size(); j++) { ll cnt_c = treedp[graph[i][j]][0]; ll cnt_w = treedp[graph[i][j]][1]; if (cnt_c + cnt_w <= treedp[i][0] + treedp[i][1]) { ans += cnt_c * upw; ans += cnt_w * (all_c - cnt_c); } } } cout << ans << endl; }