#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;
const int N = 100'010;
vector<pii> query[N];
int lower_v[N];
vector<pii> A[N];
ll w[N];
double near_st[N];
double near_child[N];
double height[N];
int st[N], ft[N];
bool has_shop[N];
ll ans[N];
int n, q, cnt_shops, rt;
void dfs1(int v, int p, int &t, double h)
{
st[v] = t++;
height[v] = h;
for (auto [u, e] : A[v]) {
if (u == p)
continue;
lower_v[e] = u;
dfs1(u, v, t, h + w[e]);
}
ft[v] = t;
}
__attribute__((optimize("O3,unroll-loops"),target("avx")))
void update(int l, int r, double x)
{
Loop (i,l,r)
near_st[i] = near_st[i] < x? near_st[i]: x;
}
void up_near(int v, int p)
{
near_child[v] = has_shop[v]? 0: 1e100;
vector<int> vec;
vector<double> vec_min_suf;
for (auto [u, e] : A[v]) {
if (u == p)
continue;
near_child[u] += w[e];
near_child[v] = min(near_child[v], near_child[u]);
vec.push_back(u);
}
vec_min_suf.resize(vec.size(), 1e100);
Loop (i,1,vec.size())
vec_min_suf[i-1] = min(vec_min_suf[i], near_child[vec[i]]);
double cur_min = has_shop[v]? 0: 1e100;
Loop (i,0,vec.size()) {
int u = vec[i];
double mn = min(cur_min, vec_min_suf[i]);
update(st[u], ft[u], mn - height[v]);
cur_min = min(cur_min, near_child[u]);
}
near_st[st[v]] = near_child[v] - height[v];
}
void ans_queries(int v)
{
for (auto [i, u] : query[v]) {
if (st[u] < st[v] || ft[v] <= st[u])
ans[i] = -2;
else if (near_st[st[u]] > 1e20)
ans[i] = -1;
else
ans[i] = near_st[st[u]] + height[u];
}
}
void dfs2(int v, int p)
{
for (auto [u, e] : A[v]) {
if (u != p)
dfs2(u, v);
}
up_near(v, p);
ans_queries(v);
}
int main()
{
cin.tie(0) -> sync_with_stdio(false);
cin >> n >> cnt_shops >> q >> rt; --rt;
Loop (i,0,n-1) {
int v, u;
cin >> v >> u >> w[i];
--v; --u;
A[v].push_back({u, i});
A[u].push_back({v, i});
}
dfs1(rt, -1, *new int(0), 0);
Loop (i,0,cnt_shops) {
int v;
cin >> v;
has_shop[v-1] = 1;
}
Loop (i,0,q) {
int e, v;
cin >> e >> v;
--e; --v;
query[lower_v[e]].push_back({i, v});
}
dfs2(rt, -1);
Loop (i,0,q) {
switch (ans[i]) {
case -2: cout << "escaped\n"; break;
case -1: cout << "oo\n"; break;
default: cout << ans[i] << '\n'; break;
}
}
}
