/* #region Head */ // #define _GLIBCXX_DEBUG #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' #define sqrt sqrtl #define floor floorl #define log2 log2l constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&... tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #define DEBUG_ #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ cin >> __VA_ARGS__; template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { cout << (p ? "YES" : "NO") << endl; } /* #endregion */ // #include // using namespace atcoder; /* #region Graph */ // エッジ(本来エッジは双方向だが,ここでは単方向で管理) template struct Edge { ll src; // エッジ始点となる頂点 ll dst; // エッジ終点となる頂点 weight_t weight; // 重み flow_t cap; Edge() : src(0), dst(0), weight(0) {} Edge(ll src, ll dst, weight_t weight) : src(src), dst(dst), weight(weight) {} Edge(ll src, ll dst, weight_t weight, flow_t cap) : src(src), dst(dst), weight(weight), cap(cap) {} // Edge 標準出力 friend ostream &operator<<(ostream &os, Edge &edge) { os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")"; return os; } }; // 同じ頂点を始点とするエッジ集合 template class Node : public vc> { public: ll idx; Node() : vc>() {} // void add(int a, int b, weight_t w, flow_t cap) { this->emplace_back(a, b, w, cap); }; }; // graph[i] := 頂点 i を始点とするエッジ集合 template class Graph : public vc> { public: Graph() : vc>() {} Graph(int n) : vc>(n) { REP(i, 0, n)(*this)[i].idx = i; } // 単方向 void add_arc(int a, int b, weight_t w = 1, flow_t cap = 1) { (*this)[a].emplace_back(a, b, w, cap); } // 双方向 void add_edge(int a, int b, weight_t w = 1, flow_t cap = 1) { add_arc(a, b, w, cap), add_arc(b, a, w, cap); } }; // using Array = vc; // using Matrix = vc; /* #endregion */ /* #region mint */ // 自動で MOD を取る整数 struct mint { ll x; mint(ll x = 0) : x((x % MOD + MOD) % MOD) {} mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } // O(log(t)) mint pow_rec(ll t) const { if (!t) return 1; mint a = pow(t >> 1); // ⌊t/2⌋ 乗 a *= a; // ⌊t/2⌋*2 乗 if (t & 1) // ⌊t/2⌋*2 == t-1 のとき a *= *this; // ⌊t/2⌋*2+1 乗 => t 乗 return a; } mint pow(ll t) const { mint a(*this); mint res = 1; while (t) { if (t & 1) res *= a; t >>= 1, a *= a; } return res; } // for prime mod mint inv_prime() const { return pow(MOD - 2); // オイラーの定理から, x^(-1) ≡ x^(p-2) } mint inv() const { ll a = this->x, b = MOD, u = 1, v = 0, t; mint res; while (b) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if (u < 0) u += MOD; res = u; return res; } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } bool operator==(const mint a) const { return this->x == a.x; } bool operator==(const ll a) const { return this->x == a; } // mint 入力 friend istream &operator>>(istream &is, mint &x) { is >> x.x; return is; } // mint 出力 friend ostream &operator<<(ostream &os, mint x) { os << x.x; return os; } }; /* #endregion */ /* #region EulerTour */ template struct EulerTour { Graph &graph; vc in, out; // 頂点→ツアー上のインデックス,の写像 vc tour; // ツアー上のインデックス→頂点,の写像 vc sz; // sz[i] := i を根とする部分木のサイズ vc weight; vc sign; int cnt; EulerTour(int n, Graph &graph) : graph(graph), in(n), out(n), sz(n) { tour.reserve(2 * n); weight.reserve(2 * n); sign.reserve(2 * n); } void dfs(int cur, int par) { for (Edge &e : graph[cur]) { if (e.dst == par) continue; weight.push_back(e.weight), sign.push_back(1), tour.push_back(e.dst); in[e.dst] = cnt++; dfs(e.dst, cur); weight.push_back(-e.weight), sign.push_back(-1), tour.push_back(e.dst); out[e.dst] = cnt++; sz[e.dst] = (out[e.dst] - in[e.dst] + 1) / 2; } } int execute(int root) { cnt = 0; weight.push_back(0), sign.push_back(1), tour.push_back(root); in[root] = cnt++; dfs(root, -1); weight.push_back(0), sign.push_back(-1), tour.push_back(root); out[root] = cnt++; sz[root] = (out[root] - in[root] + 1) / 2; return cnt; } }; /* #endregion */ // Problem void solve() { VAR(ll, n, k); // vll a(n - 1), b(n - 1); REP(i, 0, n - 1) cin >> a[i] >> b[i]; Graph<> graph(n); REP(i, 0, n - 1) graph.add_edge(a[i], b[i]); EulerTour tour(n, graph); tour.execute(0); // dump(tour.tour); // dump(tour.in); // dump(tour.out); // dump(tour.sz); vc> dp(2 * n, vc(k + 1, 0)); dp[0][0] = 1; if (n == k) dp[0][k] = 1; REP(i, 1, 2 * n) { REP(j, 0, k + 1) dp[i][j] += dp[i - 1][j]; if (tour.sign[i] == -1) continue; // out 側の手番だったら飛ばす, 以降 asseret: in 側の手番 int v = tour.tour[i]; // 着目する頂点 int out = tour.out[v], sz = tour.sz[v]; REPM(j, 0, k - tour.sz[v]) dp[out][j + sz] += dp[i - 1][j]; // in の手番では i-1 が親であることに注意 } cout << dp[2 * n - 1][k] << endl; } // entry point int main() { solve(); return 0; }