This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O2")
#include <bits/stdc++.h>
#include "factories.h"
#ifdef DEBUG
#include "debug.hpp"
#endif
using namespace std;
#define all(c) (c).begin(), (c).end()
#define traverse(c, it) for(auto it = (c).begin(); it != (c).end(); it++)
#define rep(i, N) for(int i = 0; i < (N); i++)
#define rep1(i, N) for(int i = 1; i <= (N); i++)
#define rep2(i, s, e) for(int i = (s); i <= (e); i++)
#define rep3(i, s, e, d) for(int i = (s); (d) >= 0 ? i <= (e) : i >= (e); i += (d))
#define pb push_back
#ifdef DEBUG
#define debug(x...) {dbg::depth++; string dbg_vals = dbg::to_string(x); dbg::depth--; dbg::fprint(__func__, __LINE__, #x, dbg_vals);}
#define light_debug(x) {dbg::light = 1; dbg::dout << __func__ << ":" << __LINE__ << " " << #x << " = " << x << endl; dbg::light = 0;}
#else
#define debug(x...)
#define light_debug(x)
#endif
template<typename T>
T& ckmin(T& a, T b){ return a = a > b ? b : a; }
template<typename T>
T& ckmax(T& a, T b){ return a = a < b ? b : a; }
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
class CentroidDecomposition{
vector<set<int>> adj;
vi size, par;
int get_size(int v, int p){
size[v] = 1;
for(auto u : adj[v])
if(u != p) size[v] += get_size(u, v);
return size[v];
}
int get_centroid(int v, int p, int sz){
for(auto u : adj[v])
if(u != p && size[u] > sz / 2) return get_centroid(u, v, sz);
return v;
}
void build(int v, int p){
get_size(v, p);
int c = get_centroid(v, p, size[v]);
par[c] = p;
for(auto u : adj[c])
adj[u].erase(c), build(u, c);
adj[c].clear();
}
public:
void operator()(vector<vector<pii>>& adj_){
int n = adj_.size();
adj.resize(n);
rep(i, n)
for(auto e : adj_[i])
adj[i].insert(e.first);
size.resize(n), par.resize(n);
build(0, -1);
}
int operator [](int i) const {
return par[i];
}
};
class TreeDist{
int n;
vi dep;
vector<ll> dist;
vector<vi> par;
void dfs(int v, int depth, ll dis, int p, vector<vector<pii>>& adj){
dep[v] = depth;
dist[v] = dis;
par[v][0] = p;
for(auto u : adj[v])
if(u.first != p)
dfs(u.first, depth + 1, dis + u.second, v, adj);
}
public:
void operator()(vector<vector<pii>>& adj){
n = adj.size();
dep.resize(n), dist.resize(n);
par = vector<vi>(n, vi(__lg(n) + 1));
dfs(0, 0, 0, 0, adj);
rep1(k, __lg(n))
rep(i, n)
par[i][k] = par[par[i][k - 1]][k - 1];
}
int lca(int u, int v) const {
if(dep[u] < dep[v]) swap(u, v);
for(int k = dep[u] - dep[v]; k; k -= 1 << __lg(k))
u = par[u][__lg(k)];
if(u == v) return u;
for(int k = __lg(n); k >= 0; k--)
if(par[u][k] != par[v][k]) u = par[u][k], v = par[v][k];
assert(par[u][0] == par[v][0]);
return par[u][0];
}
inline ll distance(int u, int v) const {
return dist[u] + dist[v] - 2 * dist[lca(u, v)];
}
};
const ll INF = 1LL << 60;
int N;
vector<vector<pii>> adj;
CentroidDecomposition decomp;
TreeDist paths;
vector<ll> nearest;
vi upd;
void Init(int _N, int A[], int B[], int D[]) {
#ifdef DEBUG
freopen("debug", "w", stderr);
#endif
N = _N;
adj.resize(N), nearest.resize(N);
fill(all(nearest), INF);
rep(i, N - 1)
adj[A[i]].pb({B[i], D[i]}), adj[B[i]].pb({A[i], D[i]});
decomp(adj);
paths(adj);
}
long long Query(int S, int X[], int T, int Y[]) {
auto update = [&](int v){
for(int v_ = v; ~v; v = decomp[v])
ckmin(nearest[v], paths.distance(v_, v)), upd.pb(v);
};
auto query = [&](int v){
ll a = INF;
for(int v_ = v; ~v; v = decomp[v])
ckmin(a, nearest[v] + paths.distance(v_, v));
return a;
};
ll ans = INF;
rep(i, S) update(X[i]);
rep(i, T) ckmin(ans, query(Y[i]));
for(int i : upd)
nearest[i] = INF;
upd.clear();
return ans;
}
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