#include using namespace std; #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #ifdef LOCAL void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << ' ' << H; debug_out(T...); } #define debug(...) cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif template using V = vector; template using P = pair; using ll = long long; using ld = long double; using Vi = V; using VVi = V; using Vl = V; using VVl = V; using Vd = V; using VVd = V; using Vb = V; using VVb = V; using Pi = P; using Pl = P; using Pd = P; template using priority_queue_rev = priority_queue, greater>; template vector make_vec(size_t n, T a) { return vector(n, a); } template auto make_vec(size_t n, Ts... ts) { return vector(n, make_vec(ts...)); } template inline int sz(T &x) { return x.size(); } template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ", " << p.second << ')'; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &e : v) is >> e; return is; } template ostream &operator<<(ostream &os, const vector &v) { for (auto &e : v) os << e << ' '; return os; } template inline int count_between(vector &a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r) inline ll cDiv(const ll x, const ll y) { return (x+y-1) / y; } // ceil(x/y) inline int fLog2(const ll x) { assert(x > 0); return 63-__builtin_clzll(x); } // floor(log2(x)) inline int cLog2(const ll x) { assert(x > 0); return (x == 1) ? 0 : 64-__builtin_clzll(x-1); } // ceil(log2(x)) inline int popcount(const ll x) { return __builtin_popcountll(x); } inline void fail() { cout << -1 << '\n'; exit(0); } struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; const int INF = 1<<30; // const ll INFll = 1ll<<60; // const ld EPS = 1e-10; // const ld PI = acos(-1.0); const int MOD = int(1e9)+7; // const int MOD = 998244353; template struct ModInt { int x; ModInt(ll _x = 0) : x( (0 <= _x && _x < MOD) ? _x : (_x%MOD+MOD)%MOD ) {} constexpr int &value() noexcept { return x; } constexpr ModInt operator-() const noexcept { return ModInt(MOD-x); } constexpr ModInt operator+(const ModInt y) const noexcept { return ModInt(*this) += y; } constexpr ModInt operator-(const ModInt y) const noexcept { return ModInt(*this) -= y; } constexpr ModInt operator*(const ModInt y) const noexcept { return ModInt(*this) *= y; } constexpr ModInt operator/(const ModInt y) const noexcept { return ModInt(*this) /= y; } constexpr ModInt &operator+=(const ModInt y) noexcept { x += y.x; if (x >= MOD) x -= MOD; return *this; } constexpr ModInt &operator-=(const ModInt y) noexcept { x -= y.x; if (x < 0) x += MOD; return *this; } constexpr ModInt &operator*=(const ModInt y) noexcept { x = ll(x) * y.x % MOD; return *this; } constexpr ModInt &operator/=(const ModInt y) { int a = y.x, b = MOD, u = 1, v = 0; while (b) { int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } x = ll(x) * u % MOD; if (x < 0) x += MOD; return *this; } constexpr ModInt pow(ll n) const noexcept { ModInt x(1); ModInt a = *this; for (; n > 0; n >>= 1, a *= a) if (n&1) x *= a; return x; } }; using mint = ModInt; using Vm = vector; using VVm = vector; using VVVm = vector; istream &operator>>(istream &is, mint &a) { ll v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } VVi G; int n, c, m; int l, r; map dfs(int u, int p=-1) { map res; rep(i, c) res[i] = 1; for (int v : G[u]) if (v != p) { auto res_v = dfs(v, u); rep(i, c) res[i] *= res_v[i-3] + res_v[i+3]; } debug(u); for (auto [i, x] : res) debug(i, x); return res; } map dfs2(int u, int p=-1) { map res; rep2(i, -m, m+1) res[i] = 1; for (int v : G[u]) if (v != p) { auto res_v = dfs2(v, u); rep(i, m+1) { int j = i-3; int k = i+3; if (j < 0) j = INF; if (k > m) k = m; res[i] *= res_v[j] + res_v[k]; } rep2(i, -m, 0) { int j = i-3; int k = i+3; if (j < -m) j = m; if (k >= 0) k = -INF; res[i] *= res_v[j] + res_v[k]; } } debug(u); for (auto [i, x] : res) debug(i, x); return res; } int main() { cin >> n >> c; m = 3*n; G.assign(n, Vi()); rep(i, n-1) { int u, v; cin >> u >> v; --u, --v; G[u].push_back(v); G[v].push_back(u); } mint ans = 0; if (c <= 2*m) { auto res = dfs(0); rep(i, c) ans += res[i]; } else { auto res = dfs2(0); rep2(i, -m, m) ans += res[i]; ans += res[m] * (c - 2*m); } cout << ans << '\n'; } // 5 50 // 1 2 // 1 3 // 3 4 // 3 5