#include <bits/stdc++.h>
#define ll long long
#define pr pair <ll, int>
#define fi first
#define se second
using namespace std;
const int N = 2e5 + 5;
int n, k, sta[N], en[N], tour[N], large[N], cnt, ans = 1e9, h[N];
ll dist[N];
vector <pr> a[N];
map<ll, multiset<int>> mp;
int dfs (int u, int pre)
{
int cur_siz = 1;
int max_siz = 0;
sta[u] = ++cnt;
tour[cnt] = u;
for (pr i : a[u])
{
int v = i.se;
ll w = i.fi;
if (v == pre)
continue;
dist[v] = dist[u] + w;
h[v] = h[u] + 1;
int siz = dfs(v, u);
if (siz > max_siz)
{
large[u] = v;
max_siz = siz;
}
cur_siz += siz;
}
en[u] = cnt;
return cur_siz;
}
void add (int u)
{
mp[dist[u]].insert(h[u]);
}
void doo(int u, int lca)
{
ll d = k - dist[u] + 2*dist[lca];
if (mp.count(d) && mp[d].size() > 0)
{
int haha = h[u] + *mp[d].begin() - 2*h[lca];
ans = min(ans, haha);
}
if (dist[u] - dist[lca] == k)
ans = min(ans, h[u] - h[lca]);
}
void del (int u)
{
mp[dist[u]].erase(mp[dist[u]].find(h[u]));
}
void Sack (int u, int pre, bool keep)
{
for (pr i : a[u])
{
int v = i.se;
if (v == pre || v == large[u])
continue;
Sack(v, u, 0);
}
if (large[u] != -1)
Sack(large[u], u, 1);
add(u);
for (pr i : a[u])
{
int v = i.se;
if (v == pre || v == large[u])
continue;
for (int i = sta[v]; i <= en[v]; i++)
doo(tour[i], u);
for (int i = sta[v]; i <= en[v]; i++)
add(tour[i]);
}
doo(u, u);
if (!keep)
{
for (int i = sta[u]; i <= en[u]; i++)
del(tour[i]);
}
}
int best_path(int N, int K, int H[][2], int L[])
{
n = N;
k = K;
for (int i = 0; i < n - 1; i++)
{
a[H[i][1]].push_back({L[i], H[i][1]});
a[H[i][0]].push_back({L[i], H[i][1]});
}
memset(large, -1, sizeof(large));
dfs(0, -1);
Sack(0, -1, 1);
for (int i = 0; i < n; i++)
cout << dist[i] << "\n";
return (ans == 1e9 ? -1 : ans);
}
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