#include #include #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; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using mint = atcoder::modint1000000007; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, k; cin >> n >> k; vector> g(n); for(int i = 0; i < n-1; i++){ int a, b; cin >> a >> b; a--; b--; g[a].push_back(b); g[b].push_back(a); } vector>> dp(n); for(int i = 0; i < n; i++){ dp[i].assign(g[i].size(), vector(k)); } function(int, int)> dfs1 = [&](int v, int par){ vector ans(k); for(int x = 0; x < k; x++) ans[x] = 1; for(int i = 0; i < g[v].size(); i++){ int to = g[v][i]; if(to == par) continue; dp[v][i] = dfs1(to, v); for(int x = 0; x < k; x++){ ans[x] *= dp[v][i][x]; } } for(int x = 1; x < k; x++) ans[x] += ans[x-1]; // cout << "====" << endl; // cout << v << ":"; print_vector(ans); return ans; }; auto merge = [&](vector v, vector u){ vector w(k); for(int i = 0; i < k; i++) w[i] = v[i]*u[i]; return w; }; dfs1(0, -1); mint ans = 0; function)> dfs2 = [&](int v, int p, vector from_par){ int deg = g[v].size(); for(int i = 0; i < deg; i++){ if(g[v][i] == p){ dp[v][i] = from_par; break; } } // cout << "=====" << endl; if(v == 0){ // cout << v << ":"; for(int x = 0; x < k; x++){ mint prod = 1; for(int i = 0; i < deg; i++){ prod *= dp[v][i][x]; } // cout << prod << ' '; ans += prod; } // cout << endl; }else{ // cout << v << ":"; for(int x = 1; x < k; x++){ mint prod = 1; for(int i = 0; i < deg; i++){ if(g[v][i] == p){ prod *= dp[v][i][x-1]; }else{ prod *= dp[v][i][x]; } } // cout << prod << ' '; ans += prod; } // cout << endl; } auto from_right = vec2d(deg+1, k, mint(0)); from_right[deg] = vector(k, mint(1)); for(int i = deg-1; i >= 0; i--){ from_right[i] = merge(from_right[i+1], dp[v][i]); } vector from_left(k, mint(1)); for(int i = 0; i < deg; i++){ int u = g[v][i]; if(u != p){ auto x = merge(from_left, from_right[i+1]); for(int i = 1; i < k; i++) x[i] += x[i-1]; dfs2(u, v, x); } from_left = merge(from_left, dp[v][i]); } }; dfs2(0, -1, vector(k, mint(1))); cout << ans << endl; }