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>
#pragma GCC optimize ("Ofast")
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
// 217
// 44
/*const int MOD = 998244353;
inline int lgput(int a, int b) {
int ans = 1;
while(b > 0) {
if(b & 1) ans = (1LL * ans * a) % MOD;
b >>= 1;
a = (1LL * a * a) % MOD;
}
return ans;
}
inline void mod(int &x) {
if(x >= MOD)
x -= MOD;
}
inline void add(int &x, int y) {
x += y;
mod(x);
}
inline void sub(int &x, int y) {
x += MOD - y;
mod(x);
}
inline void mul(int &x, int y) {
x = (1LL * x * y) % MOD;
}*/
/*int fact[], invfact[];
inline void prec(int n) {
fact[0] = 1;
for(int i = 1; i <= n; i++) {
fact[i] = (1LL * fact[i - 1] * i) % MOD;
}
invfact[n] = lgput(fact[n], MOD - 2);
for(int i = n - 1; i >= 0; i--) {
invfact[i] = (1LL * invfact[i + 1] * (i + 1)) % MOD;
}
}
inline int comb(int n, int k) {
if(n < k) return 0;
return (1LL * fact[n] * (1LL * invfact[k] * invfact[n - k] % MOD)) % MOD;
}*/
using namespace std;
const ll INF = 1e18;
const int MAXN = (int) 1e5;
vector < pair <int, int> > g[MAXN + 1];
int anc[MAXN + 1][20];
ll best[MAXN + 1][20], down[MAXN + 1], dst[MAXN + 1];
bool shop[MAXN + 1];
int idl[MAXN + 1], idr[MAXN + 1], sz;
int lvl[MAXN + 1];
void dfs(int nod, int par) {
idl[nod] = ++sz;
lvl[nod] = lvl[par] + 1;
down[nod] = (shop[nod] == 1 ? dst[nod] : INF);
for(auto it : g[nod]) {
if(it.first != par) {
dst[it.first] = dst[nod] + it.second;
dfs(it.first, nod);
down[nod] = min(down[it.first], down[nod]);
}
}
idr[nod] = sz;
}
void dfs1(int nod, int par) {
anc[nod][0] = par;
best[nod][0] = down[nod] - 2 * dst[nod];
for(int bit = 1; bit < 20; bit++) {
anc[nod][bit] = anc[anc[nod][bit - 1]][bit - 1];
best[nod][bit] = min(best[nod][bit - 1], best[anc[nod][bit - 1]][bit - 1]);
}
for(auto it : g[nod]) {
if(it.first != par) {
dfs1(it.first, nod);
}
}
}
struct Edge {
int a, b, c;
}edge[MAXN + 1];
int main() {
//ifstream cin("A.in");
//ofstream cout("A.out");
int i, n, s, q, e;
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin >> n >> s >> q >> e;
for(i = 1; i < n; i++) {
int a, b, c;
cin >> a >> b >> c;
edge[i] = {a, b, c};
g[a].push_back({b, c});
g[b].push_back({a, c});
}
while(s--) {
int nod;
cin >> nod;
shop[nod] = 1;
}
dfs(e, 0);
dfs1(e, 0);
while(q--) {
int pos, nod;
cin >> pos >> nod;
int a = edge[pos].a, b = edge[pos].b;
if(lvl[a] > lvl[b]) {
swap(a, b);
}
if(idl[b] <= idl[nod] && idr[nod] <= idr[b]) {
ll ans = INF;
int aux = nod;
for(int bit = 19; bit >= 0; bit--) {
if((lvl[nod] - lvl[b] + 1) & (1 << bit)) {
ans = min(ans, best[nod][bit]);
nod = anc[nod][bit];
}
}
//cerr << best[3][0] << "\n";
//cerr << a << " " << b << " " << ans << "\n";
ans = min(ans + dst[aux], down[aux] - dst[aux]);
if(ans < 1e15) {
cout << ans << "\n";
}
else {
cout << "oo\n";
}
}
else {
cout << "escaped\n";
}
}
return 0;
}
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