// includes #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(st, itr) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define vrep(v, i) for(int i = 0; i < (v).size(); i++) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define FI first #define SE second #define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n]; #define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m]; using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; typedef complex cd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << p.first << " " << p.second; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} vector edge[2001]; bool vis[2001]; vector child[2001]; int siz[2001]; void dfs(int i){ siz[i] = 1; vis[i] = true; for(auto e: edge[i]){ if(!vis[e]){ dfs(e); child[i].pb(e); siz[i] += siz[e]; } } } ll dp[2001][2001]; int n, k; void calc(int i){ int t = min(k, siz[i]); vector> d(sz(child[i]) + 1, vector(t+1, 0)); d[0][0] = 1; rep(j, sz(child[i])){ calc(child[i][j]); rep(l, t+1){ rep(m, min(l, siz[child[i][j]])+1){ d[j+1][l] = (d[j+1][l] + d[j][l-m] * dp[child[i][j]][m] % mod) % mod; } } } rep(l, t + 1)dp[i][l] = d[sz(child[i])][l]; dp[i][0] = 1; dp[i][siz[i]] = 1; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> k; rep(i, n - 1){ int a, b; cin >> a >> b; edge[a].pb(b); edge[b].pb(a); } dfs(0); calc(0); // rep(i, n){ // rep(j, k+1)cout << i << " " << j << " " << dp[i][j] << endl; // } cout << dp[0][k] << endl; return 0; }