This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// author : daohuyenchi
#ifdef LOCAL
#include "D:\C++ Submit\debug.h"
#else
#define debug(...)
#endif
#include <bits/stdc++.h>
using namespace std;
#define ull unsigned long long
#define db double
#define i32 int32_t
#define i64 int64_t
#define ll long long
//
#define fi first
#define se second
// #define int long long // consider carefully
//
#define pii pair<int, int>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define pil pair<int, ll>
#define PAIR make_pair
// TIME IS LIMITED ...
#define rep(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define repd(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define repv(v, H) for(auto &v: H)
// REFLECT ON THE PAST ...
#define RESET(c, x) memset(c, x, sizeof(c))
#define MASK(i) (1LL << (i))
#define BIT(mask, i) (((mask) >> (i)) & 1LL)
#define ONBIT(mask, i) ((mask) | (1LL << (i)))
#define OFFBIT(mask, i) ((mask) &~ (1LL << (i)))
#define COUNTBIT __builtin_popcountll
// 30 / 1 / 2024 ? love is zero... start from zero
#define vi vector <int>
#define vll vector <ll>
#define lwb lower_bound
#define upb upper_bound
#define all(v) (v).begin(), (v).end()
#define special(H) (H).resize(distance(H.begin(), unique(all(H))))
//
#define sp ' '
#define nl '\n'
#define EL {cerr << '\n';}
#define yes "YES"
#define no "NO"
#define Log2(n) (63 - __builtin_clzll(n))
#define left __left__
#define right __right__
#define lps(id) ((id) << 1)
#define rps(id) ((id) << 1 | 1)
//____________________________________________________________________
template <class X, class Y> bool maximize(X &a, const Y &b) {
if(a < b) return a = b, true;
return false;
}
template <class X, class Y> bool minimize(X &a, const Y &b) {
if(a > b) return a = b, true;
return false;
}
template <class... T>
void print(T&&... n) {
using exp = int[];
exp{0, (cerr << n << sp, 0)...};
cerr << nl;
}
template <class T, class... C>
void assign(int n, T v, C&&... a) {
using e = int[];
e{(a.assign(n, v), 0)...};
}
template <class... C>
void resize(int n, C&&... a) {
using e = int[];
e{(a.resize(n), 0)...};
}
template <class T>
using vector2d = vector<vector<T>>;
template <class T>
using vector3d = vector<vector2d<T>>;
template <class T> int ssize(T &a) { return (int) a.size(); }
//____________________________________________________________________
mt19937 rng(chrono::steady_clock().now().time_since_epoch().count());
const int MOD = 1000000007;
// const int MOD[2] = {1000000009, 998244353};
template<class X> void modmize(X &x, int cur_Mod = MOD) {
if(x >= cur_Mod) x -= cur_Mod;
if(x < 0) x += cur_Mod;
}
const long long oo = 1e18 + 7;
const long long LINF = 1e18 + 7;
const int IINF = 2e9;
const int nmax = 1e6 + 10;
const int MAX = 2e5;
const int base = 311;
const db eps = 1e-6;
const int block = 500;
static const double PI = acos(-1.0);
//____________________________________________________________________
vector <pii> G[nmax];
struct LCA_Euler {
int timer = 0;
int ein[nmax], tour[nmax * 2], dep[nmax];
int min_node(int u, int v) {
return dep[u] <= dep[v] ? u : v;
}
void dfs(int u, int p) {
ein[u] = ++timer;
tour[timer] = u;
dep[u] = dep[p] + 1;
repv (e, G[u]) {
int v = e.se;
if (v == p) continue;
dfs(v, u);
tour[++timer] = u;
}
}
int r_lca[nmax][22];
void build_lca() {
dfs(1, 0);
rep (i, 1, timer) {
r_lca[i][0] = tour[i];
}
rep (k, 1, 20) {
for (int i = 1; i + (1 << k) - 1 <= timer; ++i) {
r_lca[i][k] = min_node(r_lca[i][k - 1], r_lca[i + (1 << (k - 1))][k - 1]);
}
}
}
int get_lca(int u, int v) {
int l = ein[u];
int r = ein[v];
if (l > r) swap (l, r);
int k = Log2(r - l + 1);
return min_node(r_lca[l][k], r_lca[r - (1 << k) + 1][k]);
}
} lca;
ll pf[nmax];
void dfs(int u, int p) {
repv (e, G[u]) {
int v = e.se;
int w = e.fi;
if (v == p) continue;
pf[v] = pf[u] + w;
dfs(v, u);
}
}
ll get_dist(int u, int v) {
int anc = lca.get_lca(u, v);
return pf[u] + pf[v] - 2ll * pf[anc];
}
vector <pli> adj[nmax];
void build_virtual(vector <int> &nodes) {
int m = ssize(nodes);
sort(all(nodes), [&] (int x, int y) {
return lca.ein[x] < lca.ein[y];
}) ;
rep (i, 0, m - 2) {
int u = nodes[i];
int v = nodes[i + 1];
int anc = lca.get_lca(u, v);
nodes.push_back(anc);
}
sort(all(nodes), [&] (int x, int y) {
return lca.ein[x] < lca.ein[y];
}) ;
nodes.resize(unique(all(nodes)) - nodes.begin());
m = ssize(nodes);
rep (i, 0, m - 1) {
adj[nodes[i]].clear();
}
rep (i, 0, m - 2) {
int u = lca.get_lca(nodes[i], nodes[i + 1]);
int v = nodes[i + 1];
ll w = get_dist(u, v);
adj[u].push_back({w, v});
adj[v].push_back({w, u});
}
}
int n, Q, a[nmax], b[nmax], wei[nmax];
void Init(int n, int a[], int b[], int wei[]) {
rep (i, 0, n - 2) {
int u = a[i];
int v = b[i];
int w = wei[i];
++u; ++v;
// debug(u, v, w);
G[u].push_back({w, v});
G[v].push_back({w, u});
}
lca.build_lca();
dfs(1, 0);
}
ll dist[nmax];
int S, T, X[nmax], Y[nmax];
long long Query(int S, int X[], int T, int Y[]) {
vector <int> nodes;
rep (i, 0, S - 1) {
X[i]++;
nodes.push_back(X[i]);
// debug(X[i]);
}
rep (i, 0, T - 1) {
Y[i]++;
nodes.push_back(Y[i]);
// debug(Y[i]);
}
build_virtual(nodes);
// repv (v, nodes) {
// cerr <<v << sp;
// }
// EL
repv (v, nodes) dist[v] = LINF;
priority_queue <pli, vector <pli>, greater <pli>> pq;
rep (i, 0, S - 1) {
dist[X[i]] = 0;
pq.push({dist[X[i]], X[i]});
}
while (pq.empty() == 0) {
auto cur_v = pq.top();
pq.pop();
int u = cur_v.se;
ll du = cur_v.fi;
if (dist[u] != du) continue;
repv (e, adj[u]) {
int v = e.se;
ll w = e.fi;
if (minimize(dist[v], dist[u] + w)) {
pq.push({dist[v], v});
}
}
}
ll ans = LINF;
rep (i, 0, T - 1) {
minimize(ans, dist[Y[i]]);
}
return ans;
}
// void tintingyn() {
// cin >> n >> Q;
// rep (i, 0, n - 2) {
// cin >> a[i] >> b[i] >> wei[i];
// // print(a[i] + 1, b[i] + 1, wei[i]);
// }
// Init(n, a, b, wei);
// rep (_i, 0, Q - 1) {
// int S, T;
// cin >> S >> T;
// // debug(S, T);
// rep (i, 0, S - 1) cin >> X[i];
// rep (i, 0, T - 1) cin >> Y[i];
// // rep (i, 0, S - 1) {
// // debug(X[i] + 1);
// // }
// // rep (i, 0, T - 1) {
// // debug(Y[i] + 1);
// // }
// cout << Query(S, X, T, Y) << nl;
// }
// }
// signed main() {
// ios_base::sync_with_stdio(0);
// cin.tie(0);
// cout.tie(0);
// //________________________________________________________________
// #define TASK "3"
// if(fopen(TASK".inp", "r")) {
// freopen(TASK".inp", "r", stdin);
// freopen(TASK".out", "w", stdout);
// }
// //________________________________________________________________
// // CODE FROM HERE ...!
// int num_test = 1;
// // cin >> num_test;
// while(num_test--) {
// tintingyn();
// }
// cerr << '\n' << "Time elapsed: " << (1.0 * clock() / CLOCKS_PER_SEC) << " s\n" << nl;
// return 0;
// }
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