#include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; const ll MOD = 1000000007; class ModInt{ public: ll v; ModInt(ll _v = 0){ if(_v >= MOD) _v %= MOD; v = _v; } ModInt operator+(ll n){ return ModInt((v+n)%MOD); } ModInt operator-(ll n){ return ModInt((v-n+MOD)%MOD); } ModInt operator*(ll n){ if(n >= MOD) n %= MOD; return ModInt((v*n)%MOD); } ModInt operator/(ll n){ return ModInt((ModInt(n).inv()*v).v%MOD); } void operator+=(ll n){ v = (v+n)%MOD; } void operator-=(ll n){ v = (v-n+MOD)%MOD; } void operator*=(ll n){ v = (v*n+MOD)%MOD; } ModInt operator+(ModInt n){ return ModInt((v+n.v)%MOD); } ModInt operator-(ModInt n){ return ModInt((v-n.v+MOD)%MOD); } ModInt operator*(ModInt n){ return ModInt((v*n.v)%MOD); } ModInt operator/(ModInt n){ return ModInt((n.inv()*v).v%MOD); } void operator+=(ModInt n){ v = (v+n.v)%MOD; } void operator-=(ModInt n){ v = (v-n.v+MOD)%MOD; } void operator*=(ModInt n){ v = (v*n.v)%MOD; } void operator=(ModInt n){ v = n.v; } bool operator==(ModInt n){ return v == n.v; } bool operator!=(ModInt n){ return v != n.v; } void operator=(ll n){ v = n%MOD; } ModInt inv(){ if(v == 1) return ModInt(1); else return ModInt(MOD-ModInt(MOD%v).inv().v*(MOD/v)%MOD); } }; ostream& operator<<(ostream& os, const ModInt& m){ os << m.v; return os; } istream & operator >> (istream &in, ModInt &m){ in >> m.v; return in; } ModInt pow(ModInt a, ll n) { assert(n >= 0); ModInt ans = 1; ModInt tmp = a; for (int i = 0; i <= 60; i++) { ll m = (ll)1 << i; if (m & n) { ans *= tmp; } tmp *= tmp; } return ans; } using mint = ModInt; bool used[1005]; void dfs(int v, vector> &g_undirected, vector &par){ used[v] = true; for(int to : g_undirected[v]){ if(used[to]) continue; par[to] = v; dfs(to, g_undirected, par); } } bool ok[1005][12005]; mint memo[1005][12005]; mint solve(int v, vector> &g, int p, int c){ if(ok[v][p]){ return memo[v][p]; } mint ans = 1; for(int to : g[v]){ mint tmp = 0; if(p-3 >= 1) tmp += solve(to, g, p-3, c); if(p+3 <= c) tmp += solve(to, g, p+3, c); ans *= tmp; } ok[v][p] = true; memo[v][p] = ans; return ans; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, c; cin >> n >> c; vector> g_undirected(n); vector> g_directed(n); for(int i = 0; i < n-1; i++){ int a, b; cin >> a >> b; a--; b--; g_undirected[a].push_back(b); g_undirected[b].push_back(a); } vector par(n); dfs(0, g_undirected, par); mint ans = 0; if(c-3*n - 3*n -1 > 0) ans += pow(mint(2), n-1)*(c-3*n - 3*n -1); for(int i = 1; i < n; i++){ g_directed[par[i]].push_back(i); } for(int i = 1; i <= 3*n && i <= c; i++) { ans += solve(0, g_directed, i, c); } if(c-3*n > 0){ for(int i = c-3*n; i <= c; i++){ if(i <= 3*n) continue; ans += solve(0, g_directed, c-i+1, c); } } cout << ans << endl; }