//#define _GLIBCXX_DEBUG #include #define rep(i, n) for(int i=0; i; using vs = vector; using vi = vector; using vvi = vector; template using PQ = priority_queue; template using PQG = priority_queue, greater >; const int INF = 0xccccccc; const ll LINF = 0xcccccccccccccccLL; template inline bool chmax(T1 &a, T2 b) {return a < b && (a = b, true);} template inline bool chmin(T1 &a, T2 b) {return a > b && (a = b, true);} template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second;} template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second;} const unsigned int mod = 1000000007; //const unsigned int mod = 998244353; struct mint { unsigned int x; mint():x(0) {} mint(int64_t x_) { int64_t v = int64_t(x_ % mod); if(v < 0) v += mod; x = (unsigned int)v; } static mint row(int v) { mint v_; v_.x = v; return v_; } mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { uint64_t z = x; z *= a.x; x = (unsigned int)(z % mod); return *this; } mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} friend bool operator==(const mint &a, const mint &b) {return a.x == b.x;} friend bool operator!=(const mint &a, const mint &b) {return a.x != b.x;} mint &operator++() { x++; if(x == mod) x = 0; return *this; } mint &operator--() { if(x == 0) x = mod; x--; return *this; } mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } mint pow(int64_t t) const { mint x_ = *this, r = 1; while(t) { if(t&1) r *= x_; x_ *= x_; t >>= 1; } return r; } //for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) {return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} #define N 1010 //head int n, c; vi G[N]; mint dp[N][N]; mint ans; int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> c; rep(i, n-1) { int a, b; cin >> a >> b; a--; b--; G[a].emplace_back(b); G[b].emplace_back(a); } memset(dp, -1, sizeof(dp)); if(c > N*2*3) { auto dfs = [&](int i, int j, int x, auto self)->mint { if(dp[i][x].x != 4294967295U) return dp[i][x]; mint &res = dp[i][x] = 1; if(x == N) { for(int ne:G[i]) if(ne != j) { res *= self(ne, i, N, self)*2; } } else { if(x == 1) { for(int ne:G[i]) if(ne != j) res *= self(ne, i, 2, self); } else { for(int ne:G[i]) if(ne != j) res *= self(ne, i, x-1, self) + self(ne, i, x+1, self); } } return res; }; for(int i = 1; i < N; i++) { ans += dfs(0, -1, i, dfs) * 6; } ans += dfs(0, -1, N, dfs) * (c-N*6+6); } else { auto dfs = [&](int i, int j, int x, auto self)->mint { if(dp[i][x].x != 4294967295U) return dp[i][x]; mint &res = dp[i][x] = 1; for(int ne:G[i]) if(ne != j) { mint now = 0; if(x-3 > 0) now += self(ne, i, x-3, self); if(x+3 < c+1) now += self(ne, i, x+3, self); res *= now; } return res; }; for(int i = 1; i <= c; i++) { ans += dfs(0, -1, i, dfs); } } cout << ans << endl; }