/* #region header */ #ifdef LOCAL #include "cxx-prettyprint-master/prettyprint.hpp" #define debug(x) cout << x << endl #else #define debug(...) 42 #endif #pragma GCC optimize("Ofast") #include // types using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; typedef pair Pl; typedef pair Pi; typedef vector vl; typedef vector vi; typedef vector vc; template using mat = vector>; typedef vector> vvi; typedef vector> vvl; typedef vector> vvc; template struct modint { int x; modint() : x(0) {} modint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} modint &operator+=(const modint &p) { if ((x += p.x) >= mod) x -= mod; return *this; } modint &operator-=(const modint &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } modint &operator*=(const modint &p) { x = (int)(1LL * x * p.x % mod); return *this; } modint &operator/=(const modint &p) { *this *= p.inverse(); return *this; } modint operator-() const { return modint(-x); } modint operator+(const modint &p) const { return modint(*this) += p; } modint operator-(const modint &p) const { return modint(*this) -= p; } modint operator*(const modint &p) const { return modint(*this) *= p; } modint operator/(const modint &p) const { return modint(*this) /= p; } bool operator==(const modint &p) const { return x == p.x; } bool operator!=(const modint &p) const { return x != p.x; } modint inverse() const { int a = x, b = mod, u = 1, v = 0, t; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return modint(u); } modint pow(int64_t n) const { modint ret(1), mul(x); while (n > 0) { if (n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const modint &p) { return os << p.x; } friend istream &operator>>(istream &is, modint &a) { int64_t t; is >> t; a = modint(t); return (is); } static int get_mod() { return mod; } }; // abreviations #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define rep_(i, a_, b_, a, b, ...) for (ll i = (a), max_i = (b); i < max_i; i++) #define rep(i, ...) rep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define rrep_(i, a_, b_, a, b, ...) \ for (ll i = (b - 1), min_i = (a); i >= min_i; i--) #define rrep(i, ...) rrep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define SZ(x) ((int)(x).size()) #define pb(x) push_back(x) #define eb(x) emplace_back(x) #define mp make_pair #define print(x) cout << x << endl #define vprint(x) \ rep(i, x.size()) cout << x[i] << ' '; \ cout << endl #define vsum(x) accumulate(all(x), 0LL) #define vmax(a) *max_element(all(a)) #define vmin(a) *min_element(all(a)) #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) // functions // gcd(0, x) fails. ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } 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 (b < a) { a = b; return 1; } return 0; } template T mypow(T x, ll n) { T ret = 1; while (n > 0) { if (n & 1) (ret *= x); (x *= x); n >>= 1; } return ret; } ll modpow(ll x, ll n, const ll mod) { ll ret = 1; while (n > 0) { if (n & 1) (ret *= x); (x *= x); n >>= 1; x %= mod; ret %= mod; } return ret; } template uint64_t my_rand(void) { static uint64_t x = 88172645463325252ULL; x = x ^ (x << 13); x = x ^ (x >> 7); return x = x ^ (x << 17); } int popcnt(ull x) { return __builtin_popcountll(x); } // graph template template struct edge { int src, to; T cost; edge(int to, T cost) : src(-1), to(to), cost(cost) {} edge(int src, int to, T cost) : src(src), to(to), cost(cost) {} edge &operator=(const int &x) { to = x; return *this; } bool operator<(const edge &r) const { return cost < r.cost; } operator int() const { return to; } }; template using Edges = vector>; template using WeightedGraph = vector>; using UnWeightedGraph = vector>; struct Timer { clock_t start_time; void start() { start_time = clock(); } int lap() { // return x ms. return (clock() - start_time) * 1000 / CLOCKS_PER_SEC; } }; /* #endregion*/ // constant #define inf 1000000005 #define INF 8000000004000000000LL #define mod 1000000007LL //#define endl '\n' typedef modint mint; const long double eps = 0.000000000000001; const long double PI = 3.141592653589793; // library int main() { cin.tie(0); ios::sync_with_stdio(0); cout << setprecision(30); ll n, c; cin >> n >> c; c++; ll m = min(c, 4000ll); mat g(n); rep(i, n - 1) { int a, b; cin >> a >> b; a--; b--; g[a].pb(b); g[b].pb(a); } mat memo(n, vector(m, -1)); auto dp = [&](int v, int par, int p, auto dp) { if (p < 1 || p >= c) return (mint)0; if (memo[v][p] >= 0) return (mint)memo[v][p]; mint res = 1; for (int nv : g[v]) { if (nv == par) continue; mint tmp = 0; tmp = dp(nv, v, p + 3, dp) + dp(nv, v, p - 3, dp); res *= tmp; } memo[v][p] = res.x; return res; }; mint ans = 0; rep(i, m) { ans += dp(0, -1, i, dp); } rep(i, max(c - 4000, m), c) { ans += dp(0, -1, i, dp); } ans += dp(0, -1, 4000, dp) * (max(c - 4000, m) - m); print(ans); }