#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define elif else if #define sp(x) fixed << setprecision(x) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const ll MOD = 1000000007; //const ll MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; const double pi = acos(-1.0); const double EPS = 1e-10; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; template struct Mod_Int{ ll x; Mod_Int() = default; Mod_Int(ll y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} Mod_Int &operator += (const Mod_Int &p){ x = (x + p.x) % mod; return *this; } Mod_Int &operator -= (const Mod_Int &p){ x = (x + mod - p.x) % mod; return *this; } Mod_Int &operator *= (const Mod_Int &p){ x = (x * p.x) % mod; return *this; } Mod_Int &operator /= (const Mod_Int &p){ *this *= p.inverse(); return *this; } Mod_Int &operator ++ () {return *this += Mod_Int(1);} Mod_Int operator ++ (int){ Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator -- () {return *this -= Mod_Int(1);} Mod_Int operator -- (int){ Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator - () const {return Mod_Int(-x);} Mod_Int operator + (const Mod_Int &p) const {return Mod_Int(*this) += p;} Mod_Int operator - (const Mod_Int &p) const {return Mod_Int(*this) -= p;} Mod_Int operator * (const Mod_Int &p) const {return Mod_Int(*this) *= p;} Mod_Int operator / (const Mod_Int &p) const {return Mod_Int(*this) /= p;} bool operator == (const Mod_Int &p) const {return x == p.x;} bool operator != (const Mod_Int &p) const {return x != p.x;} Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod-2); } Mod_Int pow(ll k) const{ Mod_Int now = *this, ret = 1; while(k){ if(k&1) ret *= now; now *= now, k >>= 1; } return ret; } friend ostream &operator << (ostream &os, const Mod_Int &p){ return os << p.x; } friend istream &operator >> (istream &is, Mod_Int &p){ ll a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; struct Graph{ vector> es; const int n; vector> memo; Graph(int n) : n(n){ es.resize(n); memo.assign(n, vector(n+1, -1)); } void add_edge(int from, int to, bool directed = false){ es[from].pb(to); if(!directed) es[to].pb(from); } mint dfs(int now, int pre, int c, int C){ if(memo[now][c] != -1) return memo[now][c]; mint ret = 1; for(auto &e: es[now]){ if(e == pre) continue; mint tmp = 0; if(c == n){ tmp += dfs(e, now, n, C)*2; } else{ if(c >= 1) tmp += dfs(e, now, c-1, C); int nc = min(c+1, C-1-(c+1)); if(nc >= 0) tmp += dfs(e, now, nc, C); } ret *= tmp; } return memo[now][c] = ret; } mint solve(int c){ rep(i, n) rep(j, n+1) memo[i][j] = -1; mint ret = 0; if(c <= 2*n){ rep(i, c){ ret += dfs(0, -1, min(i, c-1-i), c); } return ret; } rep(i, n){ ret += dfs(0, -1, i, c)*2; } ret += dfs(0, -1, n, c)*(c-2*n); return ret; } }; int main(){ int N, C; cin >> N >> C; Graph G(N); rep(i, N-1){ int u, v; cin >> u >> v; u--, v--; G.add_edge(u, v); } mint ans = 0; rep(i, 3){ ans += G.solve((C+i)/3); } cout << ans << endl; }