#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } struct mint { int x; mint() : x(0) {} mint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} mint& operator+=(const mint& p){ if((x += p.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint& p){ if((x -= p.x) < 0) x += mod; return *this; } mint& operator*=(const mint& p){ x = (int)(1LL * x * p.x % mod); return *this; } mint& operator/=(const mint& p){ *this *= p.inverse(); return *this; } mint operator-() const { return mint(-x); } mint operator+(const mint& p) const { return mint(*this) += p; } mint operator-(const mint& p) const { return mint(*this) -= p; } mint operator*(const mint& p) const { return mint(*this) *= p; } mint operator/(const mint& p) const { return mint(*this) /= p; } bool operator==(const mint& p) const { return x == p.x; } bool operator!=(const mint& p) const { return x != p.x; } mint pow(int64_t n) const { mint res = 1, mul = x; while(n > 0){ if(n & 1) res *= mul; mul *= mul; n >>= 1; } return res; } mint inverse() const { return pow(mod - 2); } friend ostream& operator<<(ostream& os, const mint& p){ return os << p.x; } friend istream& operator>>(istream& is, mint& p){ int64_t val; is >> val; p = mint(val); return is; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int N, C; cin >> N >> C; vector> g(N); for(int i = 1; i < N; ++i){ int a, b; cin >> a >> b; --a, --b; g[a].emplace_back(b); g[b].emplace_back(a); } vector> dp(N, vector(min(30000, C) + 1, 1)); auto dfs = [&](auto&& self, int from = 0, int par = -1) -> void { for(int to : g[from]){ if(to == par) continue; self(self, to, from); for(int i = 1; i <= min(30000, C); ++i){ mint mul = 0; if(i - 3 >= 1) mul += dp[to][i - 3]; if(i + 3 <= min(30000, C)) mul += dp[to][i + 3]; dp[from][i] *= mul; } } }; dfs(dfs); mint ans = 0; if(C < 30000){ for(int i = 1; i <= C; ++i){ ans += dp[0][i]; } } else{ for(int i = 1; i < 3001; ++i) ans += dp[0][i]; for(int i = 30000; i > 27000; --i) ans += dp[0][i]; ans += dp[0][15000] * (C - 6000); } cout << ans << endl; return 0; }