#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } struct ReRooting { struct Edge { int to; Edge(int _to) :to(_to) {} }; vectora; vector>g; vector>dp, ans; int sz; ReRooting(int _sz) :sz(_sz) { a.resize(sz); g.resize(sz); dp = vector>(sz, vector(1001)); ans = vector>(sz, vector(1001)); } void ReadGraph() { rep(i, sz - 1) { int a, b; cin >> a >> b; a--; b--; g[a].push_back({ b }); g[b].push_back({ a }); } } /* chi*chi chi*par */ // childs*child vector mergeChi(const vector &lh, const vector &rh) {//★★ vector ret(1001); vector lsub = lh, rsub = rh; rep2(i, 1, 1001)rsub[0] += rsub[i]; rep2(i, 1, lsub.size())lsub[i] = lsub[i - 1] + lh[i]; rep2(i, 1, rsub.size())rsub[i] = rsub[i - 1] + rh[i]; rep(i, ret.size()) ret[i] = lsub[i] * rsub[i]; rrep2(i, 1, ret.size())ret[i] -= ret[i - 1]; return ret; } // par*childs vector mergePar(const vector &lh, const vector &rh) {//★★ vector ret(1001); vector lsub = lh, rsub = rh; rep2(i, 1, lsub.size())lsub[i] = lsub[i - 1] + lh[i]; rep2(i, 1, rsub.size())rsub[i] = rsub[i - 1] + rh[i]; rep(i, ret.size()) ret[i] = lsub[i] * rsub[i]; rrep2(i, 1, ret.size())ret[i] -= ret[i - 1]; return ret; } // par(部分木)*childs vector mergePar2(const vector &lh, const vector &rh) {//★★ vector ret(1001); vector lsub = lh, rsub = rh; rep2(i, 1, 1001)rsub[0] += rsub[i]; rep2(i, 1, lsub.size())lsub[i] = lsub[i - 1] + lh[i]; rep2(i, 1, rsub.size())rsub[i] = rsub[i - 1] + rh[i]; rep(i, ret.size()) ret[i] = lsub[i] * rsub[i]; rrep2(i, 1, ret.size())ret[i] -= ret[i - 1]; return ret; } void dfs(int v, int p = -1) { vectorsub(1001); sub[0] = 1; for (auto e : g[v]) { if (p == e.to)continue; dfs(e.to, v); sub = mergeChi(sub, dp[e.to]); } dp[v][a[v]] = 1; dp[v] = mergePar(dp[v], sub); } void dfsR(int v, int p = -1) { ans[v] = dp[v]; if (-1 != p) ans[v] = mergePar2(ans[v], dp[p]); vector>vdata; for (auto e : g[v]) vdata.push_back(dp[e.to]); int sz = vdata.size(); vector>sumL(sz + 1, vector(1001)), sumR(sz + 1, vector(1001)); sumL[0][0] = 1, sumR[0][0] = 1; rep(i, sz)sumL[i + 1] = mergeChi(sumL[i], vdata[i]); rep(i, sz)sumR[i + 1] = mergeChi(sumR[i], vdata[sz - i - 1]); for (int i = 0; i < g[v].size(); ++i) { auto e = g[v][i]; if (p == e.to)continue; auto chi = mergePar(sumL[i], sumR[sz - (i + 1)]); vectorsub(1001); sub[a[v]] = 1; dp[v] = mergePar(sub, chi); dfsR(e.to, v); } } void debug() { rep(i, sz) { rep(j, 10) cout << dp[i][j].val() << " "; cout << endl; } cout << endl; } void output() { mint ret = 0; rep(i, sz) rep(j, 1001) ret += ans[i][j] * j; cout << ret.val() << endl; } void solve() { rep(i, sz)cin >> a[i]; ReadGraph(); dfs(0); dfsR(0); output(); } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; ReRooting reroot(n); reroot.solve(); return 0; }