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>
using namespace std;
#define endl '\n'
#define all(v) v.begin(), v.end()
#define filter(v) v.resize(unique(all(v)) - v.begin())
typedef long long ll;
typedef pair<int, int> ii;
const int MOD = 1e9 + 7;
inline ll add(ll x, ll y, ll mod = MOD) {return ((x % mod) + (y % mod)) % mod;}
inline ll sub(ll x, ll y, ll mod = MOD) {return ((x - y) % mod + mod) % mod;}
inline ll prod(ll x, ll y, ll mod = MOD) {return ((x % mod) * (y % mod)) % mod;}
const int N = 2e5 + 3;
const ll INF = 1e18;
int n, k;
vector<ii> adj[N];
int num_park = 0;
bool is_park[N];
ll near[N], reach[N];
void prepare() {
}
void input() {
cin >> n >> k;
for(int i = 1; i < n; i++) {
int u, v, w; cin >> u >> v >> w;
adj[u].push_back(ii(v, w));
adj[v].push_back(ii(u, w));
}
}
void dfs(int u, int p, ll limit) {
near[u] = INF; reach[u] = 0;
for(int i = 0; i < (int)adj[u].size(); i++) {
int v, w; tie(v, w) = adj[u][i];
if(v != p) {
dfs(v, u, limit);
if(reach[v] + min(1LL * w, near[v]) <= limit) {
near[u] = min(near[u], near[v] + w);
if(reach[v] + near[v] > limit) reach[u] = max(reach[u], reach[v] + w);
}else {
num_park++;
is_park[v] = true;
near[u] = min(near[u], 1LL * w);
}
}
}
}
bool check(ll limit) {
num_park = 0;
for(int i = 1; i <= n; i++) is_park[i] = false;
dfs(1, -1, limit);
if(reach[1] + near[1] > limit) {
num_park++;
is_park[1] = true;
}
return num_park <= k;
}
void process() {
ll l = 0, r = 1e15, res = 0;
while(l <= r) {
ll m = (l + r) >> 1;
if(check(m)) {
res = m;
r = m - 1;
}else {
l = m + 1;
}
}
cout << res << endl;
check(res);
vector<int> nodes;
for(int i = 1; i <= n; i++) if(is_park[i]) nodes.push_back(i);
for(int i = 1; i <= n; i++) if((int)nodes.size() < k && !is_park[i]) nodes.push_back(i);
for(int node : nodes) cout << node << " ";
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
#define task "Date_A_Live"
if(fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
prepare();
int tc = 1; // cin >> tc;
for(int i = 1; i <= tc; i++) {
input();
process();
}
cerr << "Saa, watashtachi no deito hajimemashou" << endl;
return 0;
}
/*
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*/
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:101:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
101 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:102:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
102 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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