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>
#define task "V"
#define all(v) (v).begin(), (v).end()
#define rep(i, l, r) for (int i = (l); i <= (r); ++i)
#define Rep(i, r, l) for (int i = (r); i >= (l); --i)
#define DB(X) { cerr << #X << " = " << (X) << '\n'; }
#define DB1(A, _) { cerr << #A << "[" << _ << "] = " << (A[_]) << '\n'; }
#define DB2(A, _, __) { cerr << #A << "[" << _ << "][" << __ << "] = " << (A[_][__]) << '\n'; }
#define DB3(A, _, __, ___) { cerr << #A << "[" << _ << "][" << __ << "][" << ___ << "] = " << (A[_][__][___]) << '\n'; }
#define PR(A, l, r) { cerr << '\n'; rep(_, l, r) DB1(A, _); cerr << '\n';}
#define SZ(x) ((int)(x).size())
#define pb push_back
#define eb emplace_back
#define pf push_front
#define F first
#define S second
#define by(x) [](const auto& a, const auto& b) { return a.x < b.x; } // sort(arr, arr + N, by(a));
#define next ___next
#define prev ___prev
#define y1 ___y1
#define left ___left
#define right ___right
#define y0 ___y0
#define div ___div
#define j0 ___j0
#define jn ___jn
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using namespace std;
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<ll> vl;
const int N = 1e5 + 2;
const ll INF = 1e18;
int n, m, r, q, pa[N][18], dep[N];
bool market[N];
ll d[N], mn[N], mnA[N][18];
vii g[N];
ii edge[N];
void dfs(int u, int p)
{
dep[u] = dep[p] + 1;
pa[u][0] = p;
rep(k, 1, 17) pa[u][k] = pa[pa[u][k - 1]][k - 1];
mn[u] = INF;
for (ii v : g[u]) if (v.F != p)
{
d[v.F] = d[u] + v.S;
dfs(v.F, u);
mn[u] = min(mn[u], mn[v.F]);
}
if (market[u]) mn[u] = min(mn[u], d[u]);
}
int lca(int x, int y)
{
if (dep[x] < dep[y]) swap(x, y);
Rep(k, 17, 0) if (dep[pa[x][k]] >= dep[y]) x = pa[x][k];
if (x == y) return x;
Rep(k, 17, 0) if (pa[x][k] != pa[y][k]) x = pa[x][k], y = pa[y][k];
return pa[x][0];
}
void buildmnA(int u, int p)
{
mnA[u][0] = mn[u];
rep(k, 1, 17) mnA[u][k] = min(mnA[u][k - 1], mnA[pa[u][k - 1]][k - 1]);
for (ii v : g[u]) if (v.F != p) buildmnA(v.F, u);
}
int main()
{
#ifdef HynDuf
freopen(task".in", "r", stdin);
//freopen(task".out", "w", stdout);
#else
ios_base::sync_with_stdio(false); cin.tie(nullptr);
#endif
cin >> n >> m >> q >> r;
rep(i, 2, n)
{
int u, v, w;
cin >> u >> v >> w;
g[u].eb(v, w);
g[v].eb(u, w);
edge[i - 1] = {u, v};
}
rep(i, 1, m)
{
int u;
cin >> u;
market[u] = 1;
}
dfs(r, 0);
rep(i, 1, n) if (mn[i] != INF) mn[i] -= 2 * d[i];
buildmnA(r, 0);
while (q--)
{
int e, u, uu;
cin >> e >> u;
uu = u;
int v = (dep[edge[e].F] > dep[edge[e].S]) ? edge[e].F : edge[e].S;
if (lca(u, v) != v) cout << "escaped\n";
else
{
ll ans = mn[v];
Rep(k, 17, 0) if (dep[pa[u][k]] >= dep[v])
{
ans = min(ans, mnA[u][k]);
u = pa[u][k];
}
if (ans == INF) cout << "oo\n";
else cout << ans + d[uu] << '\n';
}
}
return 0;
}
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