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#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
typedef vector<str> vstr;
#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define rsz resize
#define MANY_TESTS int tcase; cin >> tcase; while(tcase--)
const double EPS = 1e-9;
const int MOD = 1e9+7; // 998244353;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};
#ifdef DEBUG
#define DBG if(1)
#else
#define DBG if(0)
#endif
#define dbg(x) cout << "(" << #x << " : " << x << ")" << endl;
// ostreams
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "["; REP(i, v.size()) out << v[i] << ", "; out << "]"; return out;}
// istreams
template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }
template<class T, class U>
istream& operator>>(istream& in, pair<T, U> &p){ in >> p.ff >> p.ss; return in; }
//searches
template<typename T, typename U>
T bsl(T lo, T hi, U f){ hi++; T mid; while(lo < hi){ mid = (lo + hi)/2; f(mid) ? hi = mid : lo = mid+1; } return lo; }
template<typename U>
double bsld(double lo, double hi, U f, double p = 1e-9){ int r = 3 + (int)log2((hi - lo)/p); double mid; while(r--){ mid = (lo + hi)/2; f(mid) ? hi = mid : lo = mid; } return (lo + hi)/2; }
template<typename T, typename U>
T bsh(T lo, T hi, U f){ lo--; T mid; while(lo < hi){ mid = (lo + hi + 1)/2; f(mid) ? lo = mid : hi = mid-1; } return lo; }
template<typename U>
double bshd(double lo, double hi, U f, double p = 1e-9){ int r = 3+(int)log2((hi - lo)/p); double mid; while(r--){ mid = (lo + hi)/2; f(mid) ? lo = mid : hi = mid; } return (lo + hi)/2; }
// some more utility functions
template<typename T>
pair<T, int> get_min(vector<T> &v){ typename vector<T> :: iterator it = min_element(v.begin(), v.end()); return mp(*it, it - v.begin());}
template<typename T>
pair<T, int> get_max(vector<T> &v){ typename vector<T> :: iterator it = max_element(v.begin(), v.end()); return mp(*it, it - v.begin());}
template<typename T> bool ckmin(T& a, const T& b){return b < a ? a = b , true : false;}
template<typename T> bool ckmax(T& a, const T& b){return b > a ? a = b, true : false;}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int n, s, q, e;
cin >> n >> s >> q >> e;
e--;
vector<vector<array<int, 2>>> g(n);
vector<array<int, 2>> edges(n - 1);
REP(i, n - 1){
int a, b, w;
cin >> a >> b >> w;
a--; b--;
g[a].pb({b, w});
g[b].pb({a, w});
edges[i] = {a, b};
}
vector<bool> is_shop(n, false);
REP(i, s){
int x; cin >> x;
x--;
is_shop[x] = true;
}
vll opt(n, INFF);
function<void(int, int)> calc_opt = [&](int v, int p){
for(auto x : g[v]){
if(x[0] == p) continue;
calc_opt(x[0], v);
}
if(is_shop[v]) opt[v] = 0;
for(auto x : g[v]){
if(x[0] == p) continue;
opt[v] = min(opt[v], opt[x[0]] + x[1]);
}
};
calc_opt(e, -1);
vi lev(n, 0);
vll dist(n, 0);
const int mxn = 20;
vector<vi> nxt(n, vi(mxn, -1));
vector<vll> nxt_values(n, vll(mxn, INFF));
function<void(int, int)> dfs = [&](int v, int p){
nxt[v][0] = p;
if(p != -1)
nxt_values[v][0] = opt[v] - dist[v];
FOR(i, 1, mxn, 1){
if(nxt[v][i - 1] != -1){
nxt[v][i] = nxt[nxt[v][i - 1]][i - 1];
nxt_values[v][i] = min(nxt_values[v][i - 1], nxt_values[nxt[v][i - 1]][i - 1]);
}
}
for(auto x : g[v]){
if(x[0] == p) continue;
dist[x[0]] = dist[v] + x[1];
lev[x[0]] = lev[v] + 1;
dfs(x[0], v);
}
};
dfs(e, -1);
REP(qq, q){
int i, r;
cin >> i >> r;
i--; r--;
int u = edges[i][0];
int v = edges[i][1];
if(lev[u] < lev[v]) swap(u, v);
int X = r;
REPD(j, 19){
if(lev[X] - (1 << j) >= lev[u]){
X = nxt[X][j];
}
}
if(X != u){
cout << "escaped" << "\n";
continue;
}
// now u is ancestor of r;
// use precomputed binlifts of value opt[x] - dist(E, x);
X = r;
ll ans = INFF;
REPD(j, 19){
if(lev[X] - (1 << j) >= lev[u]){
ans = min(ans, nxt_values[X][j] + dist[r]);
X = nxt[X][j];
}
}
ans = min(ans, nxt_values[X][0] + dist[r]);
if(ans == INFF){
cout << "oo" << "\n";
}
else{
cout << ans << "\n";
}
}
return 0;
}
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