#include #include #include #include #include #include #include #include #include #include #include #include #define REP(i,s,n) for(int i=(int)(s);i<(int)(n);i++) using namespace std; typedef long long int ll; const double EPS=1e-9; typedef vector VI; const int N = 2010; const int DEBUG = 0; VI graph[N]; int parent[N]; int desc[N]; ll dp[N][N]; const ll mod = 1e9+7; int rec_p(int n, int p) { parent[n] = -2; int s = 0; REP(i, 0, graph[n].size()) { int v = graph[n][i]; if (parent[v] != -2) { rec_p(v, n); s += desc[v] + 1; } } parent[n] = p; desc[n] = s; } // [0,d] void poly_mul(ll aa[N], const ll bb[N], int da, int db) { ll cc[N] = {0}; REP(i, 0, da + 1) { REP(j, 0, db + 1) { cc[i + j] += aa[i] * bb[j]; cc[i + j] %= mod; } } REP(i, 0, da + db + 1) { if (DEBUG) { cout << cc[i] << "x^" << i << "+"; } aa[i] = cc[i]; } if (DEBUG) { cout << endl; } } void rec(int v) { dp[v][0] = 1; int d = 0; REP(i, 0, graph[v].size()) { int u = graph[v][i]; if (u == parent[v]) { continue; } rec(u); poly_mul(dp[v], dp[u], d, desc[u] + 1); d += desc[u] + 1; } dp[v][desc[v] + 1] = 1; } int main(void){ int n, k; cin >> n >> k; REP (i, 0, n - 1) { int a, b; cin >> a >> b; graph[a].push_back(b); graph[b].push_back(a); } rec_p(0, -1); if (DEBUG) { REP(i, 0, n) { cout << "p[" << i << "]=" << parent[i] << endl; } } REP(i,0,N) { fill_n(dp[i], N, 0); dp[i][0] = 1; } rec(0); cout << dp[0][k] << endl; }