#include "bits/stdc++.h" //#include "atcoder/all" 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; #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" using pll = pair;//自分のサイズ、それ以下のサイズの合計 template struct ReRooting { using F = function; using F2 = function; int V; vector> G; vector> dp; // dp_v = g(merge(f(dp_c1,c1), f(dp_c2,c2), ..., f(dp_ck,ck)), v) F f, g; F2 merge; T mi; // identity of merge(マージの単位元) ReRooting() {} ReRooting(int V, F f, F2 merge, T mi, F g): V(V), f(f), merge(merge), mi(mi), g(g){ G.resize(V); dp.resize(V); } void read_graph(int index = 1){ int a, b; for (int i = 0; i < V - 1; ++i){ cin >> a >> b; a -= index, b -= index; G[a].emplace_back(b); G[b].emplace_back(a); } } void add_edge(int a, int b){ G[a].emplace_back(b); G[b].emplace_back(a); } T dfs1(int p, int v){ T res = mi; for (int i = 0; i < G[v].size(); ++i){ if (G[v][i] == p) {continue;} dp[v][i] = dfs1(v, G[v][i]); res = merge(res, f(dp[v][i], G[v][i])); } return g(res, v); } void dfs2(int p, int v, T from_par){ for (int i = 0; i < G[v].size(); ++i){ if (G[v][i] == p){ dp[v][i] = from_par; break; } } vector pR(G[v].size() + 1);//pR[i] = [i,G[v].size()) pR[G[v].size()] = mi; for (int i = G[v].size(); i > 0; --i) { pR[i - 1] = merge(pR[i], f(dp[v][i - 1], G[v][i - 1])); } T pL = mi; for (int i = 0; i < G[v].size(); ++i){ if (G[v][i] != p){ T val = merge(pL, pR[i + 1]);//pL:=[0,i) dfs2(v, G[v][i], g(val, v)); } pL = merge(pL, f(dp[v][i], G[v][i])); } } void calc(int root = 0){ for (int i = 0; i < V; ++i) { dp[i].resize(G[i].size()); } dfs1(-1, root); dfs2(-1, root, mi); } T solve(int v){ T ans = mi; for (int i = 0; i < G[v].size(); ++i) { ans = merge(ans, f(dp[v][i], G[v][i])); } return g(ans, v); } }; int main(){ int N; cin >> N; //★↓編集 auto f = [](pll p, int temp) { return p; }; auto merge = [](pll p, pll q) { return pll{ p.first + q.first, p.second + q.second }; }; auto g = [](pll p, int temp) { return pll{ p.first + 1, p.second + p.first + 1 }; }; pll midx = { 0,0 }; //★↑編集 ReRooting re(N, f, merge, midx, g); re.read_graph(); re.calc(); long long sum = 0; rep(i, N) { sum += re.solve(i).second; } cout << sum << endl; }