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>
#define ll long long
#define fi first
#define se second
#define endl '\n'
#define MASK(i) (1LL << (i))
#define ull unsigned long long
#define ld long double
#define pb push_back
#define all(x) (x).begin() , (x).end()
#define BIT(x , i) ((x >> (i)) & 1)
#define TASK "task"
#define sz(s) (int) (s).size()
using namespace std;
const int mxN = 5e5 + 227;
const int inf = 1e9 + 277;
const int mod = 24211007;
const ll infll = 1e18 + 7;
const int base = 200;
const int LOG = 20;
template <typename T1, typename T2> bool minimize(T1 &a, T2 b) {
if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maximize(T1 &a, T2 b) {
if (a < b) {a = b; return true;} return false;
}
vector<pair<int, int>> query[mxN];
ll ans[mxN];
struct DSU{
vector<int> lab;
DSU(){}
DSU(int _n){
lab.resize(_n + 7, -1);
}
int root(int u) {return lab[u] < 0 ? u : lab[u] = root(lab[u]);}
bool union_root(int u, int v)
{
u = root(u);
v = root(v);
if(u == v) return false;
if(lab[u] > lab[v]) swap(u, v);
lab[u] += lab[v];
lab[v] = u;
return true;
}
} dsu;
int n;
int m;
int k;
int q;
bool spec[mxN];
vector<pair<int, int>> adj[mxN];
vector<pair<int, ll>> g[mxN];
ll dist[mxN];
pair<ll, int> f[mxN];
bool vis[mxN];
int par[mxN][LOG];
ll mx[mxN][LOG];
int depth[mxN];
void sp()
{
priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
memset(dist, 0x3f, sizeof(dist));
for(int i = 1; i <= n; i++) {
if(spec[i] == true) {
dist[i] = 0;
pq.push({dist[i], i});
}
}
while(!pq.empty()) {
int u = pq.top().se;
ll cur = pq.top().fi;
pq.pop();
if(cur != dist[u]) continue;
for(auto it : adj[u]) {
if(minimize(dist[it.fi], cur + it.se) == true) {
pq.push({dist[it.fi], it.fi});
}
}
}
}
void dfs_tree(int u, int p)
{
for(auto it : g[u]) {
int v = it.fi;
ll c = it.se;
if(v == p) continue;
par[v][0] = u;
mx[v][0] = c;
depth[v] = depth[u] + 1;
dfs_tree(v, u);
}
}
ll getans(int u, int v)
{
if(depth[u] < depth[v]) swap(u, v);
ll res = infll;
for(int j = LOG - 1; j >= 0; j--)
if(depth[par[u][j]] >= depth[v]) {
minimize(res, mx[u][j]);
u = par[u][j];
}
if(u == v) return res;
for(int j = LOG - 1; j >= 0; j--) {
if(par[u][j] != par[v][j]) {
minimize(res, mx[u][j]);
minimize(res, mx[v][j]);
u = par[u][j];
v = par[v][j];
}
}
return min({res, mx[u][0], mx[v][0]});
}
void solve()
{
cin >> n >> m;
for(int i = 1; i <= m; i++) {
int u, v, c;
cin >> u >> v >> c;
adj[u].pb({v, c});
adj[v].pb({u, c});
}
cin >> k;
for(int i = 1; i <= k; i++) {
int u;
cin >> u;
spec[u] = true;
}
sp();
for(int i = 1; i <= n; i++) f[i] = {dist[i], i};
sort(f + 1, f + 1 + n);
// for(int i = 1; i <= n; i++) cout << f[i].fi << ' ' << f[i].se << endl;
memset(ans, -0x3f, sizeof(ans));
dsu = DSU(n);
for(int i = n; i >= 1; i--) {
int j = i;
while(j > 0 && f[i].fi == f[j].fi) --j;
for(int k = j + 1; k <= i; k++) vis[f[k].se] = true;
for(int k = j + 1; k <= i; k++) {
int u = f[k].se;
for(auto it : adj[u]) {
if(vis[it.fi] == true)
if(dsu.union_root(u, it.fi) == true) {
g[u].pb({it.fi, f[i].fi});
g[it.fi].pb({u, f[i].fi});
}
}
}
i = j + 1;
}
dfs_tree(1, -1);
par[1][0] = 1;
mx[1][0] = infll;
for(int j = 1; j < LOG; j++) {
for(int i = 1; i <= n; i++) {
par[i][j] = par[par[i][j - 1]][j - 1];
mx[i][j] = min(mx[i][j - 1], mx[par[i][j - 1]][j - 1]);
}
}
cin >> q;
for(int i = 1; i <= q; i++) {
int u, v;
cin >> u >> v;
cout << getans(u, v) << endl;
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
//freopen(TASK".in" , "r" , stdin);
//freopen(TASK".out" , "w" , stdout);
int tc = 1;
// cin >> tc;
while(tc--) {
solve();
}
return 0;
}
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