#include #define EPS 1e-9 #define INF 1070000000LL #define MOD 1000000007LL #define fir first #define foreach(it,X) for(auto it=(X).begin();it!=(X).end();it++) #define numa(x,a) for(auto x: a) #define ite iterator #define mp make_pair #define rep(i,n) rep2(i,0,n) #define rep2(i,m,n) for(int i=m;i<(n);i++) #define pb push_back #define pf push_front #define sec second #define sz(x) ((int)(x).size()) #define ALL( c ) (c).begin(), (c).end() #define gcd(a,b) __gcd(a,b) #define mem(x,n) memset(x,n,sizeof(x)) #define endl "\n" using namespace std; template void deploy(std::ostream &os, const TUPLE &tuple){} template void deploy(std::ostream &os, const TUPLE &t){ os << (POS == 0 ? "" : ", ") << get(t); deploy(os, t); } template std::ostream& operator<<(std::ostream &os, std::pair &p){ os << "(" << p.first <<", " << p.second <<")";return os; } template std::ostream& operator<<(std::ostream &os, std::vector &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::set &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::map &mp){ int remain = mp.size(); os << "{"; for(auto e: mp) os << "(" << e.first << " -> " << e.second << ")" << (--remain == 0 ? "}" : ", "); return os; } #define DEBUG1(var0) { std::cerr << (#var0) << "=" << (var0) << endl; } #define DEBUG2(var0, var1) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG1(var1); } #define DEBUG3(var0, var1, var2) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG2(var1,var2); } #define DEBUG4(var0, var1, var2, var3) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG3(var1,var2,var3); } using ll = long long; vector edge[100100]; int N; string S; ll c[100100]; ll w[100100]; ll C, W; ll ans; void dfs(int v, int par = -1) { ll tmpc = 0; ll tmpw = 0; ll tmpW = W; ll tmpC = C; numa(nv, edge[v]) { if (nv == par) { continue; } dfs(nv, v); if (S[v] == 'w') { ans += (long long) c[nv] * (tmpW - w[nv] - 1); ans += (long long) (tmpC - c[nv]) * w[nv]; tmpW -= w[nv]; tmpC -= c[nv]; } tmpc += c[nv]; tmpw += w[nv]; } if (S[v] == 'w') { tmpw++; } else { tmpc++; } c[v] = tmpc; w[v] = tmpw; } int main() { cin.tie(0); ios_base::sync_with_stdio(0); cin >> N; cin >> S; C = 0; W = 0; ans = 0; numa(c,S){ if (c == 'c') { C++; } else { W++; } } rep(i,N-1){ int x,y; cin >> x >> y; x--; y--; edge[x].pb(y); edge[y].pb(x); } dfs(0); cout << ans << endl; return 0; }