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 int long long
#define pii pair<int,int>
#define fi first
#define se second
#define mp make_pair
const int N = 1e5 + 5;
const int inf = 0x3f3f3f3f3f3f3f3f;
int par[N][25],h[N],f[N],fini[N],start[N],Min[N][25],timeDFS,dp[N];
vector<pii>g[N],edge;
bool marked[N];
void dfs(int u,int p) {
par[u][0] = p;
start[u] = ++timeDFS;
for (auto x: g[u]) {
int v = x.fi,w = x.se;
if (v == p) continue;
f[v] = f[u] + w;
h[v] = h[u] + 1;
dfs(v,u);
dp[u] = min(dp[u],dp[v] + w);
}
fini[u] = timeDFS;
}
void dfs1(int u,int p) {
Min[u][0] = dp[u] - f[u];
for (auto x: g[u]) {
int v = x.fi;
if (v == p) continue;
dfs1(v,u);
}
}
int lca(int u,int v) {
if (h[u] < h[v]) swap(u,v);
for (int i = 19; i >= 0; i--)
if (h[par[u][i]] >= h[v]) u = par[u][i];
if (u == v) return u;
for (int i = 19; i >= 0; i--)
if (par[u][i] != par[v][i]) u = par[u][i],v = par[v][i];
return par[u][0];
}
bool inSubtree(int v,int u) {
return (start[u] <= start[v] && fini[v] <= fini[u]);
}
int get(int u,int v) {
int len = h[u] - h[v],ans = inf;
for (int i = 19; i >= 0; i--)
if (len & (1 << i)) {
u = par[u][i];
ans = min(ans,Min[u][i]);
}
return ans;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int n,s,q,e;
cin >> n >> s >> q >> e;
for (int i = 1; i < n; i++) {
int u,v,c;
cin >> u >> v >> c;
g[u].push_back(mp(v,c));
g[v].push_back(mp(u,c));
edge.push_back(mp(u,v));
}
for (int i = 1; i <= n; i++) dp[i] = inf;
for (int i = 1; i <= s; i++) {
int x;
cin >> x;
dp[x] = 0;
}
dfs(e,e);
dfs1(e,e);
for (int i = 1; i <= 19; i++)
for (int u = 1; u <= n; u++) {
par[u][i] = par[par[u][i - 1]][i - 1];
Min[u][i] = min(Min[u][i - 1],Min[par[u][i - 1]][i - 1]);
}
while (q--) {
int idx,x;
cin >> idx >> x;
int u = edge[idx - 1].fi,v = edge[idx - 1].se;
if (v == par[u][0]) swap(u,v);
if (!inSubtree(x,v)) cout << "escaped\n";
else {
int ans = min(dp[x],f[x] + get(x,v));
if (ans == inf) cout << "oo\n";
else cout << ans << "\n";
}
}
}
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