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;
long long N,K, pre[200005], post[200005], dist[200005], cnt = 0, inf = 2e9;
vector< pair<long long,long long> > lst[200005];
pair<long long,long long> ans = make_pair(inf,inf);
struct node {
long long s,e,m,v,lazy; node *l, *r;
node (long long S, long long E) {
s = S, e = E, m = (s+e)/2, lazy = 0;
if (s != e) l = new node(s,m), r = new node(m+1,e), v = max(l->v,r->v);
else v = dist[s];
}
void propo() {
if (lazy == 0) return;
v += lazy;
if (s != e) l->lazy += lazy, r->lazy += lazy;
lazy = 0;
}
void update (long long x, long long y, long long nv) {
propo();
if (s == x && e == y) lazy += nv;
else {
if (y <= m) l -> update(x,y,nv);
else if (x > m) r -> update(x,y,nv);
else l -> update(x,m,nv), r -> update(m+1,y,nv);
l->propo(), r->propo();
v = max(l->v,r->v);
}
}
long long query (long long x, long long y) {
propo();
if (s == x && e == y) return v;
else if (y <= m) return l -> query(x,y);
else if (x > m) return r -> query(x,y);
else return max(l->query(x,m),r->query(m+1,y));
}
}*root;
void dfs (long long x, long long p, long long d) {
dist[x] = d, pre[x] = cnt++;
for (auto v: lst[x]) if (v.first != p) dfs(v.first,x,d+v.second);
post[x] = cnt-1;
}
void dfs2 (long long x, long long p) {
ans = min(ans,make_pair(root->query(0,N-1),x));
for (auto v: lst[x]) if (v.first != p) {
root -> update(0,N-1,v.second);
root -> update(pre[v.first],post[v.first],-v.second*2);
dfs2(v.first,x);
root -> update(pre[v.first],post[v.first],v.second*2);
root -> update(0,N-1,-v.second);
}
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(NULL);
cin >> N >> K;
for (long long i = 0; i < N-1; ++i) {
long long u,v,w; cin >> u >> v >> w; u--, v--;
lst[u].emplace_back(v,w), lst[v].emplace_back(u,w);
}
dfs(0,-1,0);
root = new node(0,N-1);
dfs2(0,-1);
cout << ans.first << '\n' << ans.second+1;
return 0;
}
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