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>
# define pb push_back
# define ff first
# define ss second
# define nl "\n"
# define sz(x) ((int)(x).size())
# define deb(x) cerr << #x << " = " << x << endl;
# define pll pair <ll, ll>
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
const ll maxn = 2e5 + 25;
const ll inf = 1e18 + 0;
const ll mod = 1e9 + 7;
const ll dx[] = {-1, 1, 0, 0};
const ll dy[] = {0, 0, -1, 1};
using namespace std;
ll n, k, mx;
vector <pll> g[maxn];
ll dist[maxn];
void dijkstra (int st)
{
dist[st] = 0;
set <pair <ll, ll> > q;
q.insert({0LL, st});
while (!q.empty())
{
ll v = q.begin() -> ss;
q.erase(q.begin());
for (auto i : g[v])
{
ll to = i.ff, w = i.ss;
if (dist[to] > dist[v] + w)
{
q.erase({dist[to], to});
dist[to] = dist[v] + w;
q.insert({dist[to], to});
}
}
}
}
void ma1n (/* SABR */)
{
cin >> n >> k;
for (ll i = 1, u, v, w; i < n; ++i)
{
cin >> u >> v >> w;
g[u].pb({v, w});
g[v].pb({u, w});
}
if (n <= 20)
{
ll ans = inf, ans_mask = 0;
for (ll mask = 0; mask < (1LL << n); ++mask)
{
if (__builtin_popcount(mask) == k)
{
for (ll i = 1; i <= n; ++i)
{
dist[i] = inf;
}
for (ll i = 0; i < n; ++i)
{
if (mask & (1LL << i))
{
dijkstra(i + 1);
}
}
mx = 0;
for (ll i = 1; i <= n; ++i)
{
mx = max(mx, dist[i]);
}
if (mx < ans)
{
ans = mx;
ans_mask = mask;
}
}
}
cout << ans << nl;
for (ll i = 0; i < n; ++i)
{
if (ans_mask & (1LL << i))
{
cout << i + 1 << ' ';
}
}
cout << nl;
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
// freopen("file.in", "r", stdin);
// freopen("file.out", "w", stdout);
int ttt = 1;
// cin >> ttt;
for (int test = 1; test <= ttt; ++test)
{
// cout << "Case " << test << ":" << ' ';
ma1n();
}
return 0;
}
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