#include using namespace std::literals::string_literals; using i64 = std::int_fast64_t; using std::cout; using std::cerr; using std::endl; using std::cin; template std::vector make_v(size_t a){return std::vector(a);} template auto make_v(size_t a,Ts... ts){ return std::vector(ts...))>(a,make_v(ts...)); } #ifndef INCLUDED_MODINT_HPP #define INCLUDED_MODINT_HPP #include template class modint { using u32 = std::uint_fast32_t; using u64 = std::uint_fast64_t; using i64 = std::int_fast64_t; inline u64 apply(i64 x) { return (x < 0 ? x + Modulus : x); }; public: u64 a; static constexpr u64 mod = Modulus; constexpr modint(const i64& x = 0) noexcept: a(apply(x % (i64)Modulus)) {} constexpr modint operator+(const modint& rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint& rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint& rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint& rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint operator^(const u64& k) const noexcept { return modint(*this) ^= k; } constexpr modint operator^(const modint& k) const noexcept { return modint(*this) ^= k.value(); } constexpr modint operator-() const noexcept { return modint(Modulus - a); } constexpr modint operator++() noexcept { return (*this) = modint(*this) + 1; } constexpr modint operator--() noexcept { return (*this) = modint(*this) - 1; } const bool operator==(const modint& rhs) const noexcept { return a == rhs.a; }; const bool operator!=(const modint& rhs) const noexcept { return a != rhs.a; }; const bool operator<=(const modint& rhs) const noexcept { return a <= rhs.a; }; const bool operator>=(const modint& rhs) const noexcept { return a >= rhs.a; }; const bool operator<(const modint& rhs) const noexcept { return a < rhs.a; }; const bool operator>(const modint& rhs) const noexcept { return a > rhs.a; }; constexpr modint& operator+=(const modint& rhs) noexcept { a += rhs.a; if (a >= Modulus) a -= Modulus; return *this; } constexpr modint& operator-=(const modint& rhs) noexcept { if (a < rhs.a) a += Modulus; a -= rhs.a; return *this; } constexpr modint& operator*=(const modint& rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint& operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) (*this) *= rhs; rhs *= rhs; exp /= 2; } return *this; } constexpr modint& operator^=(u64 k) noexcept { auto b = modint(1); while(k) { if(k & 1) b = b * (*this); (*this) *= (*this); k >>= 1; } return (*this) = b; } constexpr modint& operator=(const modint& rhs) noexcept { a = rhs.a; return (*this); } constexpr u64& value() noexcept { return a; } constexpr const u64& value() const noexcept { return a; } explicit operator bool() const { return a; } explicit operator u32() const { return a; } const modint inverse() const { return modint(1) / *this; } const modint pow(i64 k) const { return modint(*this) ^ k; } friend std::ostream& operator<<(std::ostream& os, const modint& p) { return os << p.a; } friend std::istream& operator>>(std::istream& is, modint& p) { u64 t; is >> t; p = modint(t); return is; } }; #endif using mint = modint<(int)(1e9 + 7)>; int main() { int n, k; scanf("%d%d", &n, &k); std::vector a(n - 1), b(n - 1); std::vector> g(n); for(int i = 0; i < n - 1; i++) { scanf("%d%d", &a[i], &b[i]); g[a[i]].push_back(i); g[b[i]].push_back(i); } std::vector> vec(n); auto solve = [&](auto&& solve, int v, int par) -> void { int now = 1; vec[v].resize(now); vec[v][0] = 1; for(int id: g[v]) { int to = a[id] ^ b[id] ^ v; if(to == par) continue; solve(solve, to, v); std::vector nxt(now += (int)vec[to].size() - 1); for(int i = 0; i < vec[v].size(); i++) for(int j = 0; j < vec[to].size(); j++) nxt[i + j] += vec[v][i] * vec[to][j]; vec[v].swap(nxt); } vec[v].push_back(1); }; solve(solve, 0, -1); printf("%lld\n", vec[0][k].value()); return 0; }