#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>> 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 = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } void dfs(vector &val, vector> &graph, ll v, vector &isvisited, vector> &treedp){ isvisited[v] = true; vector ret(2, 0); ret[val[v]]++; for (ll x: graph[v]){ if (isvisited[x]){ continue; } dfs(val, graph, x, isvisited, treedp); vector new_ret(2, 0); // 下の辺を切らない for (ll j = 0; j < 2; j++){ for (ll k = 0; k < 2; k++){ new_ret[j ^ k] += ret[j] * treedp[x][k]; new_ret[j ^ k] %= mod2; } } // 下の辺を切る new_ret[0] += ret[0] * treedp[x][1]; new_ret[1] += ret[1] * treedp[x][1]; for (ll j = 0; j < 2; j++){ ret[j] = new_ret[j]; } } for (ll j = 0; j < 2; j++){ treedp[v][j] = ret[j]; } } int main(){ ll N; cin >> N; vector u(N - 1); vector v(N - 1); for (ll i = 0; i < N - 1; i++){ cin >> u[i] >> v[i]; u[i]--; v[i]--; } vector A(N); for (ll i = 0; i < N; i++){ cin >> A[i]; } vector> graph(N, vector(0)); for (ll i = 0; i < N - 1; i++){ graph[u[i]].push_back(v[i]); graph[v[i]].push_back(u[i]); } // 木 dp ll ans = 0; for (ll i = 0; i < 30; i++){ vector val(N); for (ll j = 0; j < N; j++){ val[j] = ((A[j] >> i) & 1); } // 「ここまでの連結成分の XOR が i である切り方の総数」 // 下の XOR が 1 のときのみ辺を切れる→マージできる vector isvisited(N, false); vector> treedp(N, vector(2, 0)); dfs(val, graph, 0, isvisited, treedp); ans += treedp[0][1] * (1LL << i); ans %= mod2; } cout << ans << endl; }