#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef pair P; typedef bitset<16> BS; const ll MOD = 1E+09 + 7; const ll INF = 1E18; const int MAX_N = 1000; ll N, C; ll dp[MAX_N + 1][6 * MAX_N]; vector G[MAX_N]; ll tree(ll i, ll par, ll j); ll modPow(ll x, ll a); int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> N >> C; for (int i = 1; i <= N - 1; i++) { ll a, b; cin >> a >> b; G[a].push_back(b); G[b].push_back(a); } fill(dp[0], dp[N + 1], -1); ll ans = 0; for (int i = 1; i <= min(C, 6 * N - 5); i++) { ans += tree(1, 0, i); ans %= MOD; } ans += (modPow(2, N - 1) * max(0LL, C - 6 * N + 5)) % MOD; ans %= MOD; /* for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { cout << "i = " << i << ", j = " << j << ", dp = " << dp[i][j] << "\n"; } } */ cout << ans << "\n"; return 0; } ll tree(ll i, ll par, ll j) { if (j < 1 || j > min(C, 6 * N - 5)) return 0; if (dp[i][j] != -1) return dp[i][j]; ll res = 1; for (auto c : G[i]) { if (c != par) { res *= (tree(c, i, j + 3) + tree(c, i, j - 3)) % MOD; res %= MOD; } } return dp[i][j] = res; } ll modPow(ll x, ll a) { ll ans = 1; while (a > 0) { if (a & 1) { ans = (ans * x) % MOD; } x = (x * x) % MOD; a >>= 1; } return ans; }