#include<bits/stdc++.h>
using namespace std;

long dynamic_programming(const long now, const long prev, vector<vector<long>>& dp, const vector<vector<long>>& edge){
    if(edge[now].size() == 1){
        dp[now][0] = dp[now][1] = 1;
        return 1;
    }
    auto tapi = [](vector<long>& to, const vector<long>& src) -> void{
        size_t N = to.size();
        vector<long> hoge(N);
        for(int i = 0; i < N; ++i)
            for(int j = 0; j <= i; ++j)hoge[i] += src[j] * to[i - j];
        copy(hoge.begin(), hoge.end(), to.begin());
    };
    long ret = 0;
    dp[now][0] = 1;
    for(const auto i : edge[now])
        if(i != prev) ret += dynamic_programming(i, now, dp, edge);
    for(const auto i : edge[now])
        if(i != prev) tapi(dp[now], dp[i]);
    if(ret + 1 < dp[now].size())dp[now][ret + 1] = 1;
    return ret + 1;
}

int main(){
    unsigned long N, K;
    cin >> N >> K;

    vector<vector<long>> edge(N);
    for(int i = 1, a, b; i < N; ++i){
        cin >> a >> b;
        edge[a].push_back(b);
        edge[b].push_back(a);
    }

    vector<vector<long>> dp(N, vector<long>(K + 1));
    dynamic_programming(0, 0, dp, edge);
    cout << dp[0][K] << endl;
}