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;
#define rep(i,a,b) for(int i = a; i<int(b);++i)
#define all(v) v.begin(),v.end()
#define sz(v) v.size()
#define trav(a,c) for(auto a: c)
typedef long long ll;
typedef vector<ll> vi;
typedef pair<ll,ll> pii;
class UnionFind{
public:
vi p,r;
UnionFind(ll n){
p.resize(n);
rep(i,0,n) p[i] = i;
r.resize(n,1);
}
ll find(ll a){
return p[a]==a?a:p[a]=find(p[a]);
}
void join(ll a,ll b){
a = find(a);
b = find(b);
if(r[a]>r[b]){
p[b] = a;
} else if(r[b]>r[a]){
p[a] = b;
} else {
p[a] = b;
r[b]++;
}
}
};
ll n,k;
vector<vector<pii>> ge;
vi g;
vi dist;
void getDists(){
dist.resize(n,-1);
set<pii> q;
rep(i,0,k) q.emplace(0,g[i]);
while(q.size()){
ll v = q.begin()->second;
ll d = q.begin()->first;
q.erase(q.begin());
if(dist[v]!=-1) continue;
dist[v] = d;
rep(i,0,ge[v].size()){
q.emplace(d+ge[v][i].second,ge[v][i].first);
}
}
}
vector<vector<pii>> e;
void makeTree(){
vector<tuple<ll,ll,ll> > edges;
rep(i,0,n){
rep(j,0,ge[i].size()){
edges.emplace_back(min(dist[ge[i][j].first],dist[i]),i,ge[i][j].first);
}
}
sort(all(edges));
reverse(all(edges));
UnionFind uf(n);
e.resize(n);
rep(i,0,edges.size()){
ll a,b,w;
tie(w,a,b) = edges[i];
if(uf.find(a)!=uf.find(b)){
uf.join(a,b);
e[a].emplace_back(b,w);
e[b].emplace_back(a,w);
}
}
}
class LCA {
public:
vi levels;
vector<vector<pii> > jump;
LCA(){
jump.resize(30,vector<pii>(n));
levels.resize(n);
dfs(0,0,0,1e18);
rep(i,1,30){
rep(j,0,n){
jump[i][j].first = jump[i-1][jump[i-1][j].first].first;
jump[i][j].second = min(jump[i-1][j].second,jump[i-1][jump[i-1][j].first].second);
}
}
}
void dfs(ll v,ll last,ll level,ll w){
jump[0][v] = {last,w};
levels[v] = level;
rep(i,0,e[v].size()){
if(e[v][i].first==last) continue;
dfs(e[v][i].first,v,level+1,e[v][i].second);
}
}
ll getMin(ll a,ll b){
ll mn = 1e18;
if(levels[a]<levels[b]) swap(a,b);
for(int i = 29; i>=0;--i){
if(levels[jump[i][a].first]>=levels[b]){
mn = min(mn,jump[i][a].second);
a = jump[i][a].first;
}
}
assert(levels[a]==levels[b]);
if(a==b) return mn;
for(int i = 29; i>=0;--i){
if(jump[i][a].first!=jump[i][a].first){
mn = min(mn,jump[i][a].second);
a = jump[i][a].first;
mn = min(mn,jump[i][b].second);
b = jump[i][b].first;
}
}
//assert(a!=b);
mn = min(mn,jump[0][a].second);
a = jump[0][a].first;
mn = min(mn,jump[0][b].second);
b = jump[0][b].first;
//assert(a==b);
return mn;
}
};
int main(){
cin.sync_with_stdio(false);
ll m;
cin>>n>>m;
ge.resize(n);
rep(i,0,m){
ll a,b,w;
cin>>a>>b>>w;
--a;--b;
ge[a].emplace_back(b,w);
ge[b].emplace_back(a,w);
}
cin>>k;
g.resize(k);
rep(i,0,k) {
cin>>g[i];
--g[i];
}
getDists();
//rep(i,0,n) cout<<i+1<<": "<<dist[i]<<endl;
makeTree();
/*cout<<"tree"<<endl;
rep(i,0,n){
cout<<i+1<<": ";
rep(j,0,e[i].size()){
cout<<e[i][j].first+1<<" ";
}
cout<<endl;
}*/
LCA* lca = new LCA();
ll q;
cin>>q;
rep(i,0,q){
ll a,b;
cin>>a>>b;
--a; --b;
cout<<lca->getMin(a,b)<<endl;
}
_Exit(0);
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |