#include using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using pll = pair; using tlll = tuple; constexpr ll INF = 1LL << 60; template bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;} template bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;} ll safemod(ll A, ll M) {ll res = A % M; if (res < 0) res += M; return res;} ll divfloor(ll A, ll B) {if (B < 0) A = -A, B = -B; return (A - safemod(A, B)) / B;} ll divceil(ll A, ll B) {if (B < 0) A = -A, B = -B; return divfloor(A + B - 1, B);} ll pow_ll(ll A, ll B) {if (A == 0 || A == 1) {return A;} if (A == -1) {return B & 1 ? -1 : 1;} ll res = 1; for (int i = 0; i < B; i++) {res *= A;} return res;} ll mul_limited(ll A, ll B, ll M = INF) { return B == 0 ? 0 : A > M / B ? M : A * B; } ll pow_limited(ll A, ll B, ll M = INF) { if (A == 0 || A == 1) {return A;} ll res = 1; for (int i = 0; i < B; i++) {if (res > M / A) return M; res *= A;} return res;} template void unique(vector &V) {V.erase(unique(V.begin(), V.end()), V.end());} template void sortunique(vector &V) {sort(V.begin(), V.end()); V.erase(unique(V.begin(), V.end()), V.end());} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) //* #include using namespace atcoder; template * = nullptr> istream &operator>>(istream &is, T &a) { ll v; is >> v; a = v; return is; } template * = nullptr> istream &operator>>(istream &is, T &a) { ll v; is >> v; a = v; return is; } template * = nullptr> ostream &operator<<(ostream &os, const T &a) { os << a.val(); return os; } template * = nullptr> ostream &operator<<(ostream &os, const T &a) { os << a.val(); return os; } using mint = modint998244353; //using mint = modint1000000007; //using mint = modint; //*/ template void printvec(const vector &V) {int _n = V.size(); for (int i = 0; i < _n; i++) cout << V[i] << (i == _n - 1 ? "" : " "); cout << '\n';} template void printvect(const vector &V) {for (auto v : V) cout << v << '\n';} template void printvec2(const vector> &V) {for (auto &v : V) printvec(v);} int main() { ll N; cin >> N; vector> G(N + 3); for (ll i = N; i < N + 2; i++) { G.at(i).push_back(i + 1); } G.at(N + 2).push_back(0); for (ll i = 0; i < N - 1; i++) { ll u, v; cin >> u >> v; u--, v--; G.at(u).push_back(v); G.at(v).push_back(u); } vector par(N + 3, -1), dep(N + 3, 0); auto dfs = [&](auto self, ll v, ll pv) -> void { par.at(v) = pv; dep.at(v) = (pv < 0 ? 0 : dep.at(pv) + 1); for (auto nv : G.at(v)) { if (nv == pv) continue; self(self, nv, v); } }; dfs(dfs, N, -1); // cnt[v][d] := v から下に距離 d の頂点の個数 vector> cnt(N + 3, vector(4, 0)); for (ll v = 0; v < N + 3; v++) { ll p = v; for (ll k = 0; k < 4; k++) { if (p < 0) break; cnt.at(p).at(k)++; p = par.at(p); } } /* printvec2(cnt); //*/ ll ans = 0; for (ll v = 0; v < N; v++) { ll p = v; for (ll k = 3; k >= 0; k--) { if (p < 0) break; ans += cnt.at(p).at(k); if (k > 0) ans += cnt.at(p).at(k - 1); p = par.at(p); } ans--; ans -= max(0LL, 6 - dep.at(v)); } cout << ans / 2 << endl; }