This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
/*#pragma optimize("O3")
#pragma GCC optimize("-O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("fast-math")*/
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#define ve vector<int>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define pi pair<int,int>
#define all(v) v.begin(),v.end()
#define si(v) (int)v.size()
#define en '\n'
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define ordered_muiltiset tree<int, null_type,less_equal<>, rb_tree_tag,tree_order_statistics_node_update>
#define int long long
using namespace std;
//using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned long long ull;
const int N = 2e5 + 228;
const int big = 1e9 + 228;
const ll llbig = 1e18 + 228;
//ordered_set os; // os.order_of_key(4), (*os.find_by_order(5))
int n, m, ans, k, q, d[N], longest;
vector<pair<int, int>> g[N];
void dfs(int v, int dist, int pr){
if (dist <= d[v]){
d[v] = dist;
}else return;
for (int i = 0; i < si(g[v]); i++){
int u = g[v][i].fi;
int cost = g[v][i].se;
if (u == pr) continue;
dfs(u, dist + cost, v);
}
}
void dfs2(int v, int dist, int pr){
longest = max(longest, dist);
for (int i = 0; i < si(g[v]); i++){
int u = g[v][i].fi;
int cost = g[v][i].se;
if (u == pr) continue;
dfs(u, dist + cost, v);
}
}
bool getbit(int mask, int bit){
bit--;
return (mask & (1 << bit)) == (1 << bit);
}
#undef int
int main(){
#define int long long
iostream::sync_with_stdio(false); cin.tie(0); ios_base::sync_with_stdio(false); cout.tie(0);
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
cin >> n >> k;
for (int i = 1; i <= n - 1; i++){
int a, b, d;
cin >> a >> b >> d;
g[a].pb({b, d});
g[b].pb({a, d});
}
ve ansv;
int ans = llbig;
if (k == 1){
for (int i = 1; i <= n; i++) d[i] = llbig;
for (int i = 1; i <= n; i++){
longest = 0;
dfs2(i, 0, -1);
if (longest < ans){
ans = longest;
ansv.resize(0);
ansv.pb(i);
}
}
return 0;
}else{
for (int mask = 1; mask <= (1 << n); mask++){
ve v;
for (int i = 1; i <= n; i++){
if (getbit(mask, i)){
v.pb(i);
}
}
if (si(v) != k) continue;
for (int i = 1; i <= n; i++) d[i] = llbig;
for (int i = 0; i < si(v); i++){
dfs(v[i], 0, -1);
}
int mx = -llbig;
for (int i = 1; i <= n; i++){
mx = max(mx, d[i]);
}
if (mx < ans){
ans = mx;
ansv = v;
}
}
}
cout << ans << en;
for (int i = 0; i < si(ansv); i++){
cout << ansv[i] << ' ';
}
return 0;
}
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