#include <bits/stdc++.h>
using namespace std;
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
#define pb push_back
#define ll long long
#define int long long
//#define sz(v) int(v.size())
#define all(v) v.begin(),v.end()
#define f first
#define s second
int mod = 998244353;
const long long inf = 1e18;
const int N = 1e5 + 10;
int dp[N],s[N],dist[N],pr[N];
vector <pair <int,int>> g[N];
int up[N][20],up1[N][20];
int tin[N],tout[N],depth[N];
int timer = 0;
void dfs(int u,int p){
if(s[u] == 1) dp[u] = 0;
else dp[u] = inf;
pr[u] = p,tin[u] = ++timer;
for(auto [to,w] : g[u]){
if(to == p) continue;
dist[to] = dist[u] + w,depth[to] = depth[u] + 1;
dfs(to,u);
dp[u] = min(dp[to] + w,dp[u]);
}
tout[u] = timer;
}
void dfs1(int u,int p){
up[u][0] = p,up1[u][0] = min(dp[p] - dist[p],dp[u] - dist[u]);
for(int i = 1; i < 20; i++) up[u][i] = up[up[u][i - 1]][i - 1];
for(int i = 1; i < 20; i++) up1[u][i] = min(up1[up[u][i - 1]][i - 1],up1[u][i - 1]);
for(auto [to,w] : g[u]){
if(to == p) continue;
dfs1(to,u);
}
}
void solve(){
int n,m,q,x;
cin >> n >> m >> q >> x;
vector <pair <int,int>> qr;
for(int i = 2; i <= n; i++){
int u,v,w;
cin >> u >> v >> w;
g[u].pb({v,w}),g[v].pb({u,w});
qr.pb({u,v});
}
for(int i = 1; i <= m; i++){
int u;
cin >> u;
s[u] = 1;
}
dfs(x,x),dfs1(x,x);
while(q--){
int i,d;
cin >>i >> d;
int u = qr[i - 1].f,v = qr[i - 1].s;
if(pr[u] == v) swap(u,v);
if(tin[v] <= tin[d] && tin[d] <= tout[v]){
int ans = inf,dist1 = depth[d] - depth[v],f = dist[d];
for(int i = 0; i < 20; i++){
if((dist1 >> i & 1) == 1){
ans = min(ans,up1[d][i]);
d = up[d][i];
}
}
if(ans + f >= 1e15) cout << "oo\n";
else cout << ans + f << '\n';
}
else{
cout << "escaped\n";
}
}
}
signed main(){
//freopen("floor4.in", "r", stdin);
//freopen("floor4.out", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int t = 1;
while(t--){
solve();
}
}
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