#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) {} ModInt(signed sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; } ModInt(signed long long sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } }; typedef ModInt<1000000007> mint; vector t_parent; vi t_ord; void tree_getorder(const vector &g, int root) { int n = g.size(); t_parent.assign(n, -1); t_ord.clear(); vector stk; stk.push_back(root); while(!stk.empty()) { int i = stk.back(); stk.pop_back(); t_ord.push_back(i); for(int j = (int)g[i].size() - 1; j >= 0; j --) { int c = g[i][j]; if(t_parent[c] == -1 && c != root) stk.push_back(c); else t_parent[i] = c; } } } int main() { int N; int K; while(~scanf("%d%d", &N, &K)) { vector > g(N); for(int i = 0; i < N - 1; ++ i) { int u, v; scanf("%d%d", &u, &v); g[u].push_back(v); g[v].push_back(u); } tree_getorder(g, 0); vector subtsize(N, 1); for(int ix = (int)t_ord.size() - 1; ix > 0; -- ix) { int i = t_ord[ix], p = t_parent[i]; subtsize[p] += subtsize[i]; } function(int)> solve; solve = [&](int i) -> vector { int n = subtsize[i]; int a = 1; vector dp, ndp; ndp.assign(a + 1, mint()); ndp[0] = 1; each(j, g[i]) if(*j != t_parent[i]) { int b = subtsize[*j]; dp.swap(ndp); vector v = solve(*j); assert(v.size() == b + 1); ndp.assign(a + b + 1, mint()); rer(i, 0, a) rer(j, 0, b) ndp[i + j] += dp[i] * v[j]; a += b; } ndp[n] += 1; return ndp; }; vector ansv = solve(0); mint ans = ansv[K]; printf("%d\n", ans.get()); } return 0; }