This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*input
9 12
1 9 4
1 2 5
2 3 7
2 4 3
4 3 6
3 6 4
8 7 10
6 7 5
5 8 1
9 5 7
5 4 12
6 8 2
2
4 7
5
1 6
5 3
4 8
5 8
1 5
*/
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#pragma GCC optimize("unroll-loops,no-stack-protector")
//order_of_key #of elements less than x
// find_by_order kth element
typedef long long int ll;
#define ld long double
#define pii pair<int,int>
typedef tree<pii, null_type, less<pii>, rb_tree_tag, tree_order_statistics_node_update> indexed_set;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(int i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
const ll maxn=1e5+5;
const ll maxlg=__lg(maxn)+2;
const ll INF64=4e18;
const int INF=0x3f3f3f3f;
const ll MOD=1e9+7;
const ld PI=acos(-1);
const ld eps=1e-9;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define GET_POS(c,x) (lower_bound(c.begin(),c.end(),x)-c.begin())
template<typename T1,typename T2>
ostream& operator<<(ostream& out,pair<T1,T2> P){
out<<P.f<<' '<<P.s;
return out;
}
template<typename T>
ostream& operator<<(ostream& out,vector<T> V){
REP(i,sz(V)) out<<V[i]<<((i!=sz(V)-1)?" ":"");
return out;
}
int mult(ll a,ll b){
if(a<0) a+=MOD;
return (a*b)%MOD;
}
ll mypow(ll a,ll b){
if(b<=0) return 1;
ll res=1LL;
while(b){
if(b&1) res=mult(res,a);
a=mult(a,a);
b>>=1;
}
return res;
}
int dist[maxn];
vector<pii> v[maxn];
pii ans[maxn];
int par[maxn];
pii qq[maxn];
int find(int u){
if(par[u]==u) return u;
return par[u]=find(par[u]);
}
void merge(int a,int b){
a=find(a),b=find(b);
if(a==b) return;
par[a]=b;
}
int32_t main(){
ios::sync_with_stdio(false),cin.tie(0);
int n,m;
cin>>n>>m;
REP(i,m){
int a,b,c;
cin>>a>>b>>c;
--a,--b;
v[a].pb({b,c});
v[b].pb({a,c});
}
int k;
cin>>k;
priority_queue<pii,vector<pii>,greater<pii>> pq;
REP(i,n) dist[i]=INF;
REP(i,k){
int x;
cin>>x;
--x;
dist[x]=0;
pq.push({0,x});
}
while(!pq.empty()){
int z=pq.top().s;
pq.pop();
for(auto x:v[z]){
if(dist[x.f]>dist[z]+x.s){
dist[x.f]=dist[z]+x.s;
pq.push({dist[x.f],x.f});
}
}
}
int q;
cin>>q;
REP(i,q){
int a,b;
cin>>a>>b;
--a,--b;
qq[i]={a,b};
ans[i]={0,INF};
}
vector<pii> vv;
REP(i,n) vv.pb({dist[i],i});
sort(ALL(vv));
reverse(ALL(vv));
REP(asd,30){
REP(i,n) par[i]=i;
vector<pii> qs;
REP(i,q) qs.pb({(ans[i].f+ans[i].s+1)/2,i});
sort(ALL(qs));
reverse(ALL(qs));
int p=0;
while(p<q and qs[p].f>vv[0].f){
int z=qs[p].s;
pii a=qq[z];
if(find(a.f)==find(a.s)) ans[z].f=qs[p].f;
else ans[z].s=qs[p].f-1;
++p;
}
REP(i,n){
int z=vv[i].s;
for(auto x:v[z]){
if(dist[x.f]>=dist[z]) merge(x.f,z);
}
while(p<q and qs[p].f<=vv[i].f and qs[p].f>vv[i+1].f){
int z=qs[p].s;
pii a=qq[z];
if(find(a.f)==find(a.s)) ans[z].f=qs[p].f;
else ans[z].s=qs[p].f-1;
++p;
}
}
//REP(i,q) cout<<ans[i].f<<' '<<ans[i].s<<'\n';
}
REP(i,q) cout<<ans[i].f<<'\n';
}
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