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>
using i64 = long long;
#define int i64
constexpr int Inf = 1E14 + 5;
constexpr int N = 1E5 + 5;
constexpr int L = 20;
int par[N][L];
int dis[N][L];
void solve() {
int n, s, q, e;
std::cin >> n >> s >> q >> e;
std::vector<std::array<int, 3>> edges(n - 1);
std::vector<std::pair<int, int>> adj[n + 1];
for(int i = 0; i < n - 1; i++) {
std::cin >> edges[i][0] >> edges[i][1] >> edges[i][2];
adj[--edges[i][0]].emplace_back(--edges[i][1], edges[i][2]);
adj[edges[i][1]].emplace_back(edges[i][0], edges[i][2]);
}
std::vector<int> shops(n);
for(int i = 0; i < s; i++) {
int x;
std::cin >> x;
x--;
shops[x] = true;
}
int timer = 0;
std::vector<int> tin(n), tout(n), dist(n), depth(n);
std::function<void(int)> dfs = [&](int node) -> void {
tin[node] = ++timer;
for(auto [child, d] : adj[node]) {
if(tin[child] == 0) {
par[child][0] = node;
depth[child] = depth[node] + 1;
dist[child] = dist[node] + d;
dfs(child);
}
}
tout[node] = ++timer;
return;
};
par[e][0] = e;
dfs(--e);
for(int i = 0; i < n - 1; i++) {
auto &[u, v, d] = edges[i];
if(depth[u] > depth[v]) {
std::swap(u, v);
}
}
auto calc = [&](int begin, int nope) -> void {
std::vector<int> vis(n);
int ans = Inf;
std::queue<std::pair<int, int>> qq;
qq.emplace(0, begin);
while(!qq.empty()) {
auto [d, node] = qq.front();
//std::cerr << d << " " << node << "\n";
qq.pop();
if(vis[node]++) {
continue;
} else if(shops[node]) {
ans = std::min(ans, d);
continue;
}
for(auto [child, dd] : adj[node]) {
if(node == nope && child == par[node][0]) {
continue;
}
qq.emplace(d + dd, child);
}
}
if(ans == Inf) {
std::cout << "oo\n";
} else {
std::cout << ans << "\n";
}
return;
};
for(int cCc = 1; cCc <= q; cCc++) {
int I, R;
std::cin >> I >> R;
I--; R--;
int node = edges[I][1];
//std::cerr << "query: " << cCc << " ? " << I << " " << R << " :: " << node << " -> " << tin[node] << " " << tin[R] << " " << tout[R] << " " << tout[node] << "\n";
if(tin[node] <= tin[R] && tout[R] <= tout[node]) {
calc(R, node);
} else {
std::cout << "escaped\n";
}
}
return;
}
signed main() {
#ifdef LOCAL
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL); std::cout.tie(NULL);
int t = 1; //std::cin >> t;
for(int i = 1; i <= t; i++) {
solve();
}
return 0;
}
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