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;
using ll = long long;
#define all(x) begin(x), end(x)
#define sz(x) (int)x.size()
#define pb push_back
const int maxn = 100001;
vector<pair<int, int>> adj[maxn];
int shop[maxn], mnd[maxn], dist[maxn], d[maxn], par[maxn];
int up[maxn][18], up_min[maxn][18];
int tin[maxn], tout[maxn];
int T = 0;
void dfs(int s, int p, int w){
tin[s] = ++T;
dist[s] = dist[p] + w;
d[s] = d[p] + 1;
if(shop[s]) mnd[s] = 0;
else mnd[s] = 1e9;
par[s] = p;
for(auto [u, ww]: adj[s]){
if(u == p) continue;
dfs(u, s, ww);
mnd[s] = min(mnd[s], mnd[u] + ww);
}
tout[s] = T;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
int n, s, q, r;
cin >> n >> s >> q >> r;
vector<pair<int, int>> edges(n);
for(int i=1; i<=n-1; i++){
int a, b, w; cin >> a >> b >> w;
adj[a].pb({b, w}); adj[b].pb({a, w});
edges[i] = {a, b};
}
while(s--){
int x; cin >> x;
shop[x] = 1;
}
dfs(r, 0, 0);
up[r][0] = r;
up_min[r][0] = 1e9;
for(int i=1; i<=n; i++){
if(i != r){
up[i][0] = par[i];
up_min[i][0] = mnd[par[i]] - dist[par[i]];
}
}
for(int j=1; j<=17; j++){
for(int i=1; i<=n; i++){
up[i][j] = up[up[i][j-1]][j-1];
up_min[i][j] = min(up_min[i][j-1], up_min[up[i][j-1]][j-1]);
}
}
auto jump = [&](int x, int d){
int ans = 1e9;
for(int j=17; j>=0; j--){
if(d & (1<<j)){
ans = min(ans, up_min[x][j]);
x = up[x][j];
}
}
return ans;
};
while(q--){
int i, x; cin >> i >> x;
auto [a, b] = edges[i];
if(par[a] == b) swap(a, b);
if(tin[b] <= tin[x] and tout[x] <= tout[b]){
int dd = d[x] - d[b];
int mn = jump(x, dd);
int ans = min(mn + dist[x], mnd[x]);
if(ans != 1e9) cout << ans << "\n";
else cout << "oo" << "\n";
}
else cout << "escaped" << "\n";
}
}
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