#include #ifdef LOCAL #include "dump.hpp" #else #define dump(...) #endif using namespace std; #define REP(i, a, b) for(int i = (a); i < int(b); ++i) #define rep(i, n) REP(i, 0, n) #define ALL(x) begin(x), end(x) template inline void chmax(T &a, const T &b) { if(a < b) a = b; } template inline void chmin(T &a, const T &b) { if(a > b) a = b; } typedef vector> graph; constexpr int mod = 1000000007; constexpr int MAX = 2000; int n, k; vector G[MAX]; pair> dfs(int v, int p) { int size = 1; vector> dp; dp.reserve(G[v].size()); for(const auto &c : G[v]) { if(c == p) continue; const auto result = dfs(c, v); size += result.first; dp.emplace_back(move(result.second)); } if(dp.empty()) return make_pair(1, vector{1, 1}); int max_idx = -1; int max_size = 0; for(int i = 0; i < dp.size(); ++i) { if(max_size < dp[i].size()) { max_idx = i; max_size = dp[i].size(); } } vector res = move(dp[max_idx]); const int m = min(size, k); res.resize(m + 1, 0); for(int i = 0; i < dp.size(); ++i) { if(i == max_idx) continue; vector tmp(m + 1, 0); for(int j = m; j >= 0; --j) { for(int l = dp[i].size() - 1; l >= 0; --l) { if(j + l > m) continue; tmp[j + l] = (tmp[j + l] + static_cast(res[j]) * dp[i][l]) % mod; } } res = move(tmp); } if(size <= k) res[size] += 1; dump(v, size, res); return make_pair(size, res); } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cin >> n >> k; for(int i = 0; i < n - 1; ++i) { int a, b; cin >> a >> b; G[a].emplace_back(b); G[b].emplace_back(a); } const auto ans = dfs(0, -1); cout << ans.second[k] << endl; return EXIT_SUCCESS; }