#include #include using namespace std; using int64 = long long; const int mod = 1e9 + 7; //const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } template< typename T = int > struct Edge { int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {} operator int() const { return to; } }; template< typename T = int > struct Graph { vector< vector< Edge< T > > > g; int es; Graph() = default; explicit Graph(int n) : g(n), es(0) {} size_t size() const { return g.size(); } void add_directed_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es++); } void add_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es); g[to].emplace_back(to, from, cost, es++); } void read(int M, int padding = -1, bool weighted = false, bool directed = false) { for(int i = 0; i < M; i++) { int a, b; cin >> a >> b; a += padding; b += padding; T c = T(1); if(weighted) cin >> c; if(directed) add_directed_edge(a, b, c); else add_edge(a, b, c); } } }; /** * @brief Centroid-Decomosition(重心分解) */ template< typename T > struct CentroidDecomposition : Graph< T > { public: using Graph< T >::Graph; using Graph< T >::g; Graph< int > tree; int build(int t = 0) { sub.assign(g.size(), 0); v.assign(g.size(), 0); tree = Graph< T >(g.size()); return build_dfs(0); } explicit CentroidDecomposition(const Graph< T > &g) : Graph< T >(g) {} private: vector< int > sub; vector< int > v; inline int build_dfs(int idx, int par) { sub[idx] = 1; for(auto &to : g[idx]) { if(to == par || v[to]) continue; sub[idx] += build_dfs(to, idx); } return sub[idx]; } inline int search_centroid(int idx, int par, const int mid) { for(auto &to : g[idx]) { if(to == par || v[to]) continue; if(sub[to] > mid) return search_centroid(to, idx, mid); } return idx; } inline int build_dfs(int idx) { int centroid = search_centroid(idx, -1, build_dfs(idx, -1) / 2); v[centroid] = true; for(auto &to : g[centroid]) { if(!v[to]) tree.add_directed_edge(centroid, build_dfs(to)); } v[centroid] = false; return centroid; } }; int main() { int N, K; cin >> N >> K; CentroidDecomposition< int > g(N); g.read(N - 1, -1, true); int root = g.build(); int64 ret = 0; vector< int > used(N); map< pair< int, int >, int > mp; int all; map< int, int > mp2; map< int, int > mp3; auto get_vec = MFP([&](auto get_vec, int idx, int par, int a, int b) -> void { if(b == -1) { ret += all - mp2[a]; ret += mp3[a]; } else { ret++; ret += mp2[a] + mp2[b]; ret += mp[minmax(a, b)]; } for(auto &e : g.g[idx]) { if(e.to == par) continue; if(used[e.to]) continue; if(a == e.cost) { get_vec(e.to, idx, e.cost, b); } else if(b == -1 || b == e.cost) { get_vec(e.to, idx, a, e.cost); } } }); auto add_vec = MFP([&](auto add_vec, int idx, int par, int a, int b) -> void { if(b == -1) { mp2[a]++; all++; } else { mp[minmax(a, b)]++; mp3[a]++; mp3[b]++; } for(auto &e : g.g[idx]) { if(e.to == par) continue; if(used[e.to]) continue; if(a == e.cost) { add_vec(e.to, idx, e.cost, b); } else if(b == -1 || b == e.cost) { add_vec(e.to, idx, a, e.cost); } } }); auto rec = MFP([&](auto rec, int idx) -> void { used[idx] = true; mp.clear(); mp2.clear(); mp3.clear(); all = 0; for(auto &e : g.g[idx]) { if(used[e.to]) continue; get_vec(e.to, idx, e.cost, -1); add_vec(e.to, idx, e.cost, -1); } for(auto &to : g.tree.g[idx]) { rec(to); } used[idx] = false; }); rec(root); cout << ret << endl; }