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;
typedef long long ll;
const int N = 1e5 + 12;
set<int> st[N];
set<pair<int,int>> qr[N];
int n,m,d[N],p[N],res[N];
vector<pair<int,int>> g[N];
void dijkstra(){
int k;
cin >> k;
for(int i = 1;i <= n;i++){
d[i] = 1e9;
}
set<pair<int,int>> st;
for(int i = 1;i <= k;i++){
int x;
cin >> x;
d[x] = 0;
st.insert({0,x});
}
while(!st.empty()){
int v = (*st.begin()).second;
st.erase({d[v],v});
for(auto [to,w]:g[v]){
if(d[to] > d[v] + w){
st.erase({d[to],to});
d[to] = d[v] + w;
st.insert({d[to],to});
}
}
}
}
int get(int v){
if(p[v] == v) return v;
return p[v] = get(p[v]);
}
int cur = 0;
mt19937 rng;
void merge(int v,int u){
v = get(v);
u = get(u);
if(v == u) return;
p[u] = v;
if(rng() & 1){
qr[v].swap(qr[u]);
st[v].swap(st[u]);
}
for(auto [x,y]:qr[u]){
if(st[v].find(x) != st[v].end()){
res[y] = cur;
}else{
qr[v].insert({x,y});
}
}
for(auto i:st[u]){
while(!qr[v].empty()){
auto [x,y] = *qr[v].lower_bound(make_pair(i,0));
if(x != i) break;
res[y] = cur;
qr[v].erase({x,y});
}
st[v].insert(i);
}
qr[u].clear();
st[u].clear();
}
void test(){
cin >> n >> m;
for(int i = 1;i <= m;i++){
int x,y,w;
cin >> x >> y >> w;
g[x].push_back({y,w});
g[y].push_back({x,w});
}
dijkstra();
int q;
cin >> q;
for(int i = 1;i <= q;i++){
int s,t;
cin >> s >> t;
qr[s].insert({t,i});
qr[t].insert({s,i});
}
vector<int> b(n);
iota(b.begin(),b.end(),1);
sort(b.begin(),b.end(),[&](int x,int y){
return d[x] > d[y];
});
for(int i = 1;i <= n;i++){
p[i] = i;
st[i].insert(i);
}
for(auto i:b){
cur = d[i];
for(auto [to,w]:g[i]){
if(d[to] > d[i]){
merge(i,to);
}
}
}
for(int i = 1;i <= q;i++){
cout << res[i] << '\n';
}
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
test();
}
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