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<bits/stdc++.h>
using namespace std;
#define ll long long
#define REP(i,n) for(int i = 0; i < n; i ++)
#define FOR(i,a,b) for(int i = a; i < b; i ++)
#define pii pair<int,int>
#define F first
#define S second
#define vi vector<int>
#define pb push_back
#define runtime() ((double)(clock())/CLOCKS_PER_SEC)
int n,centroid;
const int MAXN = 500005;
const ll INF = 1e16;
int par[MAXN][21],cenpar[MAXN];
int dep[MAXN],sz[MAXN];
vector<pii> adj[MAXN];
bitset<MAXN> vis;
vi g[MAXN];
ll mnd[MAXN],dist[MAXN];
ll cendist[MAXN][21];
void dfs0(int u){
for(auto v:adj[u]){
if(v.F != par[u][0]){
par[v.F][0] = u;
dep[v.F] = dep[u]+1;
dist[v.F] = dist[u]+v.S;
dfs0(v.F);
}
}
}
void dfs_sz(int u,int p){
sz[u] = 1;
for(auto v:adj[u]){
if(v.F != p and vis[v.F] == 0){
dfs_sz(v.F,u);
sz[u] += sz[v.F];
}
}
}
int find_centroid(int u,int p,int tot){
for(auto v:adj[u]){
if(v.F == p or vis[v.F]) continue;
if(sz[v.F] > tot/2) return find_centroid(v.F,u,tot);
}
return u;
}
void centroid_decomposition(int u,int p){
dfs_sz(u,u);
int cen = find_centroid(u,p,sz[u]);
if(p == -1) centroid = cen;
else g[p].pb(cen);
cenpar[cen] = p;
vis[cen] = 1;
for(auto v:adj[cen]){
if(!vis[v.F]) centroid_decomposition(v.F,cen);
}
}
int lca(int u,int v){
if(dep[u] < dep[v]) swap(u,v);
for(int i = 20; i >= 0; i --){
if(dep[u]-(1<<i) >= dep[v]) u = par[u][i];
}
if(u == v) return u;
for(int i = 20; i >= 0; i --){
if(par[u][i] != par[v][i]){
u = par[u][i];
v = par[v][i];
}
}
return par[u][0];
}
ll calc_dist(int u,int v){
return dist[u]+dist[v]-2*dist[lca(u,v)];
}
void Init(int N, int A[], int B[], int D[]){
n = N;
REP(i,n-1){
adj[A[i]].pb({B[i],D[i]});
adj[B[i]].pb({A[i],D[i]});
}
par[0][0] = 0;
dep[0] = 0;
dfs0(0);
FOR(j,1,21){
REP(i,n){
par[i][j] = par[par[i][j-1]][j-1];
}
}
centroid_decomposition(0,-1);
REP(i,n+1) mnd[i] = INF;
REP(i,n){
int cur = i,cnt = 0;
while(cur != -1){
cendist[i][cnt] = calc_dist(i,cur);
cnt++;
cur = cenpar[cur];
}
}
assert(runtime() <= 6);
}
void upd(int u,int type){
int cur = u;
int cnt = 0;
while(cur != -1){
if(type == 0){
mnd[cur] = min(mnd[cur],cendist[u][cnt]);
}
else mnd[cur] = INF;
cur = cenpar[cur];
cnt++;
}
}
ll quer(int u){
ll res = INF;
int cur = u;
int cnt = 0;
while(cur != -1){
res = min(res,cendist[u][cnt]+mnd[cur]);
cur = cenpar[cur];
cnt ++;
}
return res;
}
ll Query(int S, int X[], int T, int Y[]) {
REP(i,S) upd(X[i],0);
ll ans = INF;
REP(i,T) ans = min(ans,quer(Y[i]));
REP(i,S) upd(X[i],1);
return ans;
}
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