//#pragma GCC optimize("O3,unroll-loops,Ofast")
//#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
using namespace std;
// using namespace __gnu_pbds;
#define MAX 200005
#define pb push_back
// #define mp make_pair
#define int long long
#define f first
#define s second
#define vi vector<int>
#define pii pair<int,int>
#define si set<int>
#define vpii vector<pair<int,int>>
const int mod = 1e9+7;
const int INF = 1e18;
// myMap.begin()->first : key
// myMap.begin()->second : value
int epow(int a,int b){int ans=1;while(b){if(b&1) ans*=a;a*=a;b>>=1;ans%=mod;a%=mod;}return ans%mod;}
int gcd(int a,int b) {if(a<b)swap(a,b);while(b){int tmp=b;b=a%b;a=tmp;}return a;}
int mul(int a,int b){return ((a%mod)*(b%mod))%mod;}
int sum(int a,int b){return ((a%mod)+(b%mod))%mod;}
//typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
//typedef
// tree<int,null_type,less_equal<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_multiset;
vector<vpii> adj;
vpii arr,mx;
void dfs(int node,int par){
for(auto u : adj[node]){
if(u.f==par) continue;
dfs(u.f,node);
if(!mx[u.f].f){
if(u.s<=mx[node].f) arr.pb({u.s,u.f});
else{
arr.pb({mx[node].f,mx[node].s});
mx[node].f=u.s; mx[node].s=u.f;
}
}
else{
if(mx[u.f].f+u.s<=mx[node].f){
arr.pb({mx[u.f].f+u.s,mx[u.f].s});
}
else{
arr.pb({mx[node].f,mx[node].s});
mx[node]={ mx[u.f].f+u.s , mx[u.f].s };
}
}
}
}
void solve(){
int n,k; cin>>n>>k;
adj.resize(n+5); mx.resize(n+5); // arr.resize(n+5);
for(int i=1;i<n;i++){
int a,b,c; cin>>a>>b>>c;
adj[a].pb({b,c}); adj[b].pb({a,c});
}
for(int root=1;root<=n;root++){
dfs(root,0);
arr.pb({mx[root].f,mx[root].s});
sort(arr.begin(),arr.end(),greater<pii>());
int ans=0;
for(int i=0;i<k;i++) ans+=arr[i].f;
cout<<ans<<endl;
arr.clear();
for(int i=1;i<=n;i++) mx[i]={0,0};
}
}
int32_t main(/*int32_t argc, char* argv[]*/){
std::ios_base::sync_with_stdio(0); std::cin.tie(0);
int t=1;
// cin >> t;
while (t--) solve();
return 0;
}
