This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//я так много думал, что опять попал
#include <bits/stdc++.h>
#define all(x) x.begin(),x.end()
#define pb push_back
#define ppb pop_back
#define pf push_front
#define ppf pop_front
#define f first
#define s second
#define left(v) v + v
#define right(v) v + v + 1
#define ub upper_bound
#define lb lower_bound
#define pll pair<ll, ll>
#define gay natural
//17 SEVENTEEN
//#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace std;
typedef long long ll;
const long double Pi = acos(-1.0);
const ll dx[] = {0,0,1,-1};
const ll dy[] = {1,-1,0,0};
const ll N = (ll) 1e6 + 17;
const ll M = (ll) 5e3 + 69;
const ll inf = (ll) 1e14 + 3;
const ll mod = (ll) 1e9 + 7;
ll sq(ll x) { return x * x; }
ll zxc = 1;
ll up[N][50], mn[N][50], d[N], dp[N];
ll timer, tin[N], tout[N];
ll i, x, c, u[N], v[N], w[N], sh[N];
vector<pll> g[N];
bool upper(ll a, ll b) {
return tin[a] <= tin[b] && tout[a] >= tout[b];
}
void dfs(ll v, ll p, ll dis) {
tin[v] = ++timer;
d[v] = dis, dp[v] = !sh[v] * inf, up[v][0] = p;
for(auto to : g[v]) {
if(to.f != p)
dfs(to.f, v, dis + to.s), dp[v] = min(dp[v], dp[to.f] + to.s);
}
for(auto to : g[v])
if(to.f != p)
mn[to.f][0] = dp[v] - d[v];
tout[v] = ++timer;
}
ll get(ll u, ll v, ll b) {
if(upper(v, b)) return inf;
ll ans = dp[v] + d[u] - d[v];
for(ll i = 0; i <= 25; i++) {
if(b == up[v][i])
ans = min(ans, mn[v][i] + d[u]);
if(upper(b, up[v][i]))
ans = min(ans, mn[v][i] + d[u]);
else { ans = min(ans, get(u, up[v][i - 1], b)); break; }
}
return ans;
}
void solve() {
ll n, s, q, e;
cin >> n >> s >> q >> e;
for(ll i = 1; i < n; i++) {
cin >> u[i] >> v[i] >> w[i];
g[u[i]].pb({v[i], w[i]}), g[v[i]].pb({u[i], w[i]});
}
for(ll i = 1; i <= s; i++) {
cin >> c, sh[c] = 1;
}
dfs(e, -1, 0);
for(ll i = 1; i <= 25; i++) {
for(ll v = 1; v <= n; v++) {
up[v][i] = up[up[v][i - 1]][i - 1];
mn[v][i] = min(mn[v][i - 1], mn[up[v][i - 1]][i - 1]);
}
}
while(q--) {
cin >> i >> x;
ll cur = (upper(u[i], v[i]) ? v[i] : u[i]);
if(!upper(cur, x))
cout << "escaped\n";
else {
if(dp[cur] == inf) cout << "oo\n";
else {
cout << min(dp[x], get(x, x, cur)) << "\n";
}
}
}
}
int main(/*Уверенно*/) {
ios_base::sync_with_stdio(0);
cin.tie(0);
/*
freopen(".in", "r", stdin);
freopen(".out", "w", stdout);
*/
// cin >> zxc;
while(zxc--) {
solve();
}
return 0;
}
// さよならさ いかなくちゃ
/*
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢀⣀⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣅⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣽⣢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡍⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢢⣈⠫⢄⠀⠀⠀⠀⠀⠀⢀⡄⠂⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣷⡧⠀⠀⠀⠀⢀⠎⠀⠀⠀⢃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣣⠀⠀⠀⡎⠀⠀⠀⠀⠀⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡔⡄⠀⠁⠀⠀⠀⠀⠀⢰⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢰⠇⠀⠀⠀⠀⠀⡘⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⣼⣿⣿⠿⣿⣿⣿⡿⢹⣿⣿⣿⣿⣿⣿⡽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠎⠦⡀⠀⠀⠀⢀⠇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢢⣿⡇⣼⣧⣶⣿⣿⣿⠁⢸⢿⣿⣿⣿⣿⣿⣷⡘⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⡙⠀⠑⢄⣀⠤⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⣼⣿⣿⣿⣿⣿⣿⠀⠀⢛⣿⣿⣿⣿⣿⡿⣿⡬⠿⣾⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣻⡆⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠻⢿⣿⣿⣿⣿⣜⢿⣮⡙⠷⣦⣉⠓⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠤⠤⠤⣀⠀⠘⠀⠀⣿⢸⢿⣿⣿⣿⣿⣿⠘⢿⠈⠁⠐⠄⠙⢟⢿⣿⣿⣦⡵⣟⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣼⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠑⠆⠀⠀⣿⠀⣿⣿⣿⣿⣿⣿⣀⣬⣧⣖⣢⠄⠀⠀⠀⠈⠑⠈⠹⠿⠋⠘⣿⣿⣿⡆⣿⣿⣿⡏⡧⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢿⠀⢹⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢮⠴⢃⣿⣿⣿⣿⣷⡟⣿⣿⣿⣿⣿⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠸⡆⡄⢿⣿⣿⣿⣿⣿⡻⢄⠙⢿⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢻⣿⣿⣿⢈⣷⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠐⠹⣵⠀⣿⣿⣿⣿⣿⢿⠦⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⢦⣿⣿⣿⣿⣿⣮⣆⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢣⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⣤⡤⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⢀⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⣾⠇⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⣸⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣢⢄⠀⠀⢀⣤⣶⣿⢟⣿⣿⣿⣿⠰⢸⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢡⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⣰⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⣫⢻⡿⠛⢁⢾⣿⣿⣿⡇⠇⡜⠀⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣻⡈⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⡠⠔⠁⠀⠀⠀⣰⡟⠀⠀⣟⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠛⠻⢗⠏⠏⢸⢇⢠⠟⣾⣿⣿⣿⣱⠊⠀⠀⡿⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠁⠀⠀⠀⠀⢀⡾⠋⠀⠀⣸⠇⣿⣹⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠸⢻⠋⢸⣿⣿⣿⢿⠃⠀⠀⠀⣇⠗⢿⡇⢹⣿⣿⢿⣿⣿⣿⣿⣏⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠛⠁⠀⠀⢠⡟⢀⣿⣿⣿⣿⣿⡟⣄⠀⠀⠀⠀⢠⣴⣧⣤⣄⣠⠣⣀⣿⣿⣿⣟⠎⠀⠀⠀⠀⣽⠀⠘⣿⠊⠫⡺⣷⣌⠉⡿⢿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⢀⡠⣾⣁⣼⣿⣿⣿⢹⣿⡇⠈⠑⠂⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠇⡜⠘⡄⠀⠹⣧⠀⠈⠪⢙⢻⠷⠦⠿⣿⡄⠀⠀
⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⣀⠔⣒⣵⣾⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠀⡇⠀⠀⠀⠀⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢋⡼⠔⠀⠉⢄⡀⠙⣧⠀⣀⡴⠉⠉⠉⠉⠹⣷⡀⠀
⠀⠈⢏⣷⣮⣕⠢⠀⠀⠀⠀⢠⠞⢀⠔⢉⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣸⠃⠀⠠⠃⠀⠀⠀⢐⡨⠋⠀⣗⡄⢸⣿⣿⡿⡿⣿⡿⢣⠊⠀⠀⠀⠀⠀⠈⠑⠚⠻⣿⣄⣀⡀⠀⢀⣠⣿⣗⡀
⠀⠀⠀⢻⣿⣿⣿⣄⢂⠀⢠⣟⠔⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⠏⣀⠞⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⠀⢸⣿⣟⠀⢣⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠊⢸⣿⡝
⠀⠀⠀⠀⢻⣿⣿⣿⣆⢃⢸⡏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢸⣿⡟⠀⠸⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷
⠀⠀⠀⠀⠀⢻⣿⣿⣿⡞⡔⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠘⠻⡼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⣿
⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠑⠌⠢⠀⣀⣀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢸⣿
⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣰⣿⣿⣯⣆⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠈⣏⠻⢿⣿⣿⣿⣿⣿⣿⡇⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠆⠀⢀⣠⢰⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⢸⡟
⠀⠀⠀⠀⠀⠀⠀⠀⢸⢇⠈⢿⣿⣿⣿⣿⣿⠁⢀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡈⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⢁⡟⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠆⠈⢿⣿⣿⣿⡇⠀⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡎⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣰⣏⣀⣊⣀⣀
*/
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