#include #define EPS 1e-9 #define INF 1070000000LL #define MOD 1000000007LL #define fir first #define foreach(it,X) for(auto it=(X).begin();it!=(X).end();it++) #define numa(x,a) for(auto x: a) #define ite iterator #define mp make_pair #define rep(i,n) rep2(i,0,n) #define rep2(i,m,n) for(int i=m;i<(n);i++) #define pb push_back #define pf push_front #define sec second #define sz(x) ((int)(x).size()) #define ALL( c ) (c).begin(), (c).end() #define gcd(a,b) __gcd(a,b) #define mem(x,n) memset(x,n,sizeof(x)) #define endl "\n" using namespace std; template void deploy(std::ostream &os, const TUPLE &tuple){} template void deploy(std::ostream &os, const TUPLE &t){ os << (POS == 0 ? "" : ", ") << get(t); deploy(os, t); } template std::ostream& operator<<(std::ostream &os, std::pair &p){ os << "(" << p.first <<", " << p.second <<")";return os; } template std::ostream& operator<<(std::ostream &os, std::vector &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::set &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::map &mp){ int remain = mp.size(); os << "{"; for(auto e: mp) os << "(" << e.first << " -> " << e.second << ")" << (--remain == 0 ? "}" : ", "); return os; } #define DEBUG1(var0) { std::cerr << (#var0) << "=" << (var0) << endl; } #define DEBUG2(var0, var1) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG1(var1); } #define DEBUG3(var0, var1, var2) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG2(var1,var2); } #define DEBUG4(var0, var1, var2, var3) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG3(var1,var2,var3); } using ll = long long; vector edge[2010]; int cnt[2010]; int N,K; vector go(int now, int par = -1) { if (sz(edge[now]) == 1 && par != -1) { vector ret(K+1,0); cnt[now] = 1; ret[0] = 1; ret[1] = 1; return ret; } vector ret[2]; ret[0].resize(K+1,0); ret[1].resize(K+1,0); ret[1][0] = 1; int cur = 0, bef = 1; int all = 1; numa(x,edge[now]) { if (x == par) { continue; } auto child = go(x,now); all += cnt[x]; for (int i = 0; i <= K; i++) { ret[cur][i] = 0; } for (int i = 0; i <= K; i++) { if (child[i]) { for (int j = 0; j + i <= K; j++) { ret[cur][i+j] += (child[i] * ret[bef][j] % MOD); ret[cur][i+j] %= MOD; } } } swap(cur, bef); } if (K >= all) { ret[bef][all] = 1; } cnt[now] = all; //DEBUG2(now, ret[bef]); return ret[bef]; } int main() { cin.tie(0); ios_base::sync_with_stdio(0); cin >> N >> K; rep(i,N-1){ int x,y; cin >> x >> y; edge[x].pb(y); edge[y].pb(x); } auto ans = go(0); //DEBUG1(ans); cout << ans[K] << endl; return 0; }