This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifndef HOME
#include "factories.h"
#endif
#include <bits/stdc++.h>
using namespace std;
const int LOG = 21;
const int DIM = 500005;
int lev[DIM], szt[DIM], par[DIM], rmq[DIM << 1][LOG], pwr[DIM << 1], pos[DIM];
long long dst[DIM], dp[DIM]; vector<pair<int, int>> edg[DIM]; bool oki[DIM];
void dfs(int x, int f, int d) {
static int nr = 0;
dst[x] = dst[f] + d; rmq[++nr][0] = x;
lev[x] = lev[f] + 1; pos[x] = nr;
for (auto &ed : edg[x]) {
int y = ed.first, c = ed.second;
if (y != f) {
dfs(y, x, c); rmq[++nr][0] = x; } } }
void getCentroid(int x, int f, int sz, int &c) {
int mx = 0; szt[x] = 1;
for (auto &ed : edg[x]) {
int y = ed.first;
if (!oki[y] and y != f) {
getCentroid(y, x, sz, c); szt[x] += szt[y];
mx = max(mx, szt[y]); } }
mx = max(mx, sz - szt[x]);
if (mx <= sz / 2) {
c = x; } }
void buildRmq(int n) {
for (int i = 2; i <= n; ++i) {
pwr[i] = pwr[i >> 1] + 1; }
for (int k = 1; (1 << (k - 1)) < n; ++k) {
for (int i = 1, j = (1 << (k - 1)) + 1; j <= n; ++i, ++j) {
if (lev[rmq[i][k - 1]] < lev[rmq[j][k - 1]]) {
rmq[i][k] = rmq[i][k - 1]; }
else {
rmq[i][k] = rmq[j][k - 1]; } } } }
inline int lca(int x, int y) {
x = pos[x]; y = pos[y];
if (x > y) {
swap(x, y); }
int p = pwr[y - x + 1];
return lev[rmq[x][p]] < lev[rmq[y - (1 << p) + 1][p]] ?
rmq[x][p] : rmq[y - (1 << p) + 1][p]; }
inline long long getDist(int x, int y) {
return dst[x] + dst[y] - (dst[lca(x, y)] << 1); }
void getTree(int x, int f, int sz) {
getCentroid(x, f, sz, x); getCentroid(x, f, sz, x);
par[x] = f; dp[x] = (1LL << 60); oki[x] = true;
for (auto &ed : edg[x]) {
int y = ed.first;
if (!oki[y]) {
getTree(y, x, szt[y]); } } }
void Init(int n, int a[], int b[], int d[]) {
for (int i = 0; i < n - 1; ++i) {
int x = ++a[i], y = ++b[i], c = d[i];
edg[x].push_back(make_pair(y, c));
edg[y].push_back(make_pair(x, c)); }
dfs(1, 0, 0); buildRmq((n << 1) - 1); getTree(1, 0, n); }
long long Query(int s, int a[], int t, int b[]) {
long long ans = (1LL << 60);
if (s > t) {
swap(a, b); swap(s, t); }
for (int i = 0; i < s; ++i) {
for (int x = ++a[i]; x; x = par[x]) {
dp[x] = min(dp[x], getDist(x, a[i])); } }
for (int i = 0; i < t; ++i) {
for (int x = ++b[i]; x; x = par[x]) {
ans = min(ans, dp[x] + getDist(x, b[i])); } }
for (int i = 0; i < s; ++i) {
for (int x = a[i]; x; x = par[x]) {
dp[x] = (1LL << 60); } }
return ans; }
#ifdef HOME
int main(void) {
freopen("factories.in", "r", stdin);
freopen("factories.out", "w", stdout);
int n, q; cin >> n >> q;
int a[100], b[100], d[100];
for (int i = 0; i < n - 1; ++i) {
cin >> a[i] >> b[i] >> d[i]; }
Init(n, a, b, d);
while (q--) {
int s, t; cin >> s >> t;
for (int i = 0; i < s; ++i) {
cin >> a[i]; }
for (int i = 0; i < t; ++i) {
cin >> b[i]; }
cout << Query(s, a, t, b) << "\n"; }
return 0; }
#endif
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