#include //#include using namespace std; //using namespace atcoder; //using mint = atcoder::modint; //int mod; //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) {} }; struct Data { long long main; long long sub; Data() :main(1), sub(0) {} Data(long long _main, long long _sub) : main(_main), sub(_sub) {} }; vector>g; vectordp; vectorans; int sz; ReRooting(int _sz) :sz(_sz) { g.resize(sz); dp.reserve(sz); ans.resize(sz); } void ReadGraph() { rep(i, sz - 1) { int a, b; cin >> a >> b; a--; b--; g[a].push_back({ b }); g[b].push_back({ a }); } } Data merge(const Data &lh, const Data &rh) { Data ret = lh; ret.main += rh.main; ret.sub += rh.main + rh.sub; return ret; } Data mergeSub(const Data &lh, const Data &rh) { Data ret = lh; ret.main += rh.main + 1; ret.sub += rh.sub; return ret; } void dfs(int v, int p = -1) { Data val(1, 0); for (auto e : g[v]) { if (p == e.to)continue; dfs(e.to, v); val = merge(val, dp[e.to]); } dp[v] = val; } void dfsR(int v, int p) { for (auto e : g[v]) ans[v] = merge(ans[v], dp[e.to]); vectorvdata; for (auto e : g[v]) vdata.push_back(dp[e.to]); int sz = vdata.size(); vectorsumL(sz + 1), sumR(sz + 1); sumL[0] = { 0,0 }; sumR[0] = { 0,0 }; rep(i, sz)sumL[i + 1] = merge(sumL[i], vdata[i]); rep(i, sz)sumR[i + 1] = merge(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; dp[v] = mergeSub(sumL[i], sumR[sz - (i + 1)]); dfsR(e.to, v); } } void output() { long long out = 0; rep(i, sz) out += ans[i].main + ans[i].sub; cout << out << endl; } void solve() { ReadGraph(); dfs(0); dfsR(0, -1); output(); } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; ReRooting reroot(n); reroot.solve(); return 0; }