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 <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
typedef long long ll;
const ll inf=1e15;
#define pb push_back
int n,m,par[N],sz[N],k,up[20][N];
ll mn[20][N],tin[N],tout[N],timer;
ll dist[N];
vector<pair<int,ll>>g[N];
vector<pair<int,int>>road;
int find(int a){
if(a==par[a])return a;
return par[a]=find(par[a]);
}
void merge(int a,int b){
a=find(a);b=find(b);
if(sz[a]<sz[b])swap(a,b);
sz[a]+=sz[b];
par[b]=a;
}
void dfs(int v,int p,ll w){
up[0][v]=p;
mn[0][v]=w;
tin[v]=++timer;
for(int i=1;i<=19;i++){
up[i][v]=up[i-1][up[i-1][v]];
mn[i][v]=min(mn[i-1][v],mn[i-1][up[i-1][v]]);
}
for(auto to:g[v])
if(to.first!=p)dfs(to.first,v,to.second);
tout[v]=++timer;
}
bool upper(int a,int b){
return tin[a]<=tin[b]&&tout[a]>=tout[b];
}
ll get(int a,int b){
ll res=inf;
if(upper(a,b)){
for(int i=19;i>=0;--i){
if(!upper(up[i][b],a)){
res=min(res,mn[i][b]);
b=up[i][b];
}
}
res=min(res,mn[0][b]);
}else if(upper(b,a)){
for(int i=19;i>=0;--i){
if(!upper(up[i][a],b)){
res=min(res,mn[i][a]);
a=up[i][a];
}
}
res=min(res,mn[0][b]);
}else{
for(int i=19;i>=0;--i){
if(!upper(up[i][b],a)){
res=min(res,mn[i][b]);
b=up[i][b];
}
}
res=min(res,mn[0][b]);
for(int i=19;i>=0;--i){
if(!upper(up[i][a],b)){
res=min(res,mn[i][a]);
a=up[i][a];
}
}
res=min(res,mn[0][b]);
}
return res;
}
int main(){
//ios::sync_with_stdio(false);
//cin.tie(0); cout.tie(0);
cin>>n>>m;
for(int i=1;i<=n;i++){par[i]=i;sz[i]=1;}
for(int i=0;i<m;i++){
int a,b;ll c;
cin>>a>>b>>c;
g[a].pb({b,c});
g[b].pb({a,c});
road.pb({a,b});
}
priority_queue<pair<ll,int>> q;
cin>>k;
for(int i=1;i<=n;i++)dist[i]=inf;
for(int i=0;i<k;i++){
int v;cin>>v;
dist[v]=0;q.push({0,v});
}
while(!q.empty()){
int v=q.top().second;
q.pop();
for(auto x:g[v]){
if(dist[x.first]>dist[v]+x.second){
dist[x.first]=dist[v]+x.second;
q.push({-dist[x.first],x.first});
}
}
}
for(int i=1;i<=n;i++)g[i].clear();
sort(road.begin(),road.end(),[&](pair<int,int>a,pair<int,int>b){
ll fi=min(dist[a.first],dist[a.second]);
ll se=min(dist[b.first],dist[b.second]);
return fi>se;
});
for(int i=0;i<m;i++){
int a=road[i].first,b=road[i].second;
ll w=min(dist[a],dist[b]);
if(find(a)!=find(b)){
g[a].pb({b,w});
g[b].pb({a,w});
merge(a,b);
}
}
dfs(1,1,inf);
int Q;
cin>>Q;
for(int i=0;i<Q;i++){
int a,b;
cin>>a>>b;
cout<<get(a,b)<<'\n';
}
}
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