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 "factories.h"
#include <vector>
#include <algorithm>
#include <queue>
using namespace std;
#define ll long long
#define pli pair<ll, int>
#define f first
#define s second
const int MAX_N = 500001;
vector<pli> edges[MAX_N], edges2[MAX_N];
int jump[MAX_N][19], order[MAX_N], depth[MAX_N], timer = 0;
ll dist[MAX_N], dist2[MAX_N];
void dfs(int v, int p, int d) {
jump[v][0] = p;
for (int i=1; i<19; i++) jump[v][i] = jump[jump[v][i-1]][i-1];
order[v] = ++timer;
depth[v] = d;
for (pli u : edges[v]) {
if (u.f != p) {
dist[u.f] = dist[v]+u.s;
dfs(u.f, v, d+1);
}
}
}
int lca(int x, int y) {
if (depth[x] < depth[y]) swap(x, y);
int z = depth[x]-depth[y];
for (int i=18; i>=0; i--) {
if (z&(1<<i)) x = jump[x][i];
}
if (x == y) return x;
for (int i=18; i>=0; i--) {
if (jump[x][i] != jump[y][i]) {
x = jump[x][i];
y = jump[y][i];
}
}
return jump[x][0];
}
ll distance(int x, int y) {
return dist[x]+dist[y]-2*dist[lca(x, y)];
}
void add(int a, int b, ll c, vector<pli> edges[]) {
edges[a].emplace_back(b, c);
edges[b].emplace_back(a, c);
}
void Init(int N, int A[], int B[], int D[]) {
for (int i=0; i<N-1; i++) add(A[i]+1, B[i]+1, D[i], edges);
dfs(1, 0, 0);
for (int i=1; i<=N; i++) dist2[i] = 1e18;
}
bool comp(int x, int y) {
return order[x] < order[y];
}
void clean(int x) {
dist2[x] = 1e18;
edges2[x].clear();
}
ll Query(int S, int X[], int T, int Y[]) {
vector<int> v, l;
for (int i=0; i<S; i++) v.push_back(++X[i]);
for (int i=0; i<T; i++) v.push_back(++Y[i]);
sort(v.begin(), v.end(), comp);
for (int i=0; i<S+T-1; i++) {
int cur = lca(v[i], v[i+1]);
add(v[i], cur, dist[v[i]]-dist[cur], edges2);
add(v[i+1], cur, dist[v[i+1]]-dist[cur], edges2);
l.push_back(cur);
}
sort(l.begin(), l.end(), comp);
for (int i=0; i<S+T-2; i++) add(l[i], l[i+1], distance(l[i], l[i+1]), edges2);
priority_queue<pli, vector<pli>, greater<pli> > pq;
for (int i=0; i<S; i++) {
dist2[X[i]] = 0;
pq.push({0, X[i]});
}
while (!pq.empty()) {
pli cur = pq.top();
pq.pop();
if (cur.f > dist[cur.s]) continue;
for (pli p : edges2[cur.s]) {
if (dist2[p.f] > cur.f+p.s) {
dist2[p.f] = cur.f+p.s;
pq.push({dist2[p.f], p.f});
}
}
}
ll ans = 1e18;
for (int i=0; i<T; i++) ans = min(ans, dist2[Y[i]]);
for (int i=0; i<S; i++) clean(X[i]);
for (int i=0; i<T; i++) clean(Y[i]);
for (int i : l) clean(i);
return ans;
}
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