/**
* author: tourist
* created: 20.04.2025 16:24:10
**/
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "algo/debug.h"
#else
#define debug(...) 42
#endif
const int B = 350;
struct Query {
int l, r, id;
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m, q;
cin >> n >> m >> q;
vector<vector<int>> g(n);
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
--u; --v;
g[u].push_back(v);
g[v].push_back(u);
}
vector<int> tin(n), tout(n);
vector<vector<int>> pv(n, vector<int>(18));
vector<int> depth(n);
int timer = 0;
auto Dfs = [&](auto&& self, int v, int pr) -> void {
tin[v] = timer++;
pv[v][0] = pr;
for (int u : g[v]) {
if (u != pr) {
depth[u] = depth[v] + 1;
self(self, u, v);
}
}
tout[v] = timer;
};
Dfs(Dfs, 0, -1);
vector<int> c(m);
for (int i = 0; i < m; i++) {
cin >> c[i];
--c[i];
}
for (int j = 1; j < 18; j++) {
for (int i = 0; i < n; i++) {
if (pv[i][j - 1] == -1) {
pv[i][j] = -1;
} else {
pv[i][j] = pv[pv[i][j - 1]][j - 1];
}
}
}
auto Anc = [&](int u, int v) {
return (tin[u] <= tin[v]) && (tout[v] <= tout[u]);
};
auto lca = [&](int u, int v) {
if (Anc(u, v)) {
return u;
}
for (int b = 17; b >= 0; b--) {
if (pv[u][b] != -1 && !Anc(pv[u][b], v)) {
u = pv[u][b];
}
}
return pv[u][0];
};
auto dist = [&](int u, int v) {
return depth[u] + depth[v] - 2 * depth[lca(u, v)];
};
vector<int> ans(q);
vector<Query> queries(q);
for (int i = 0; i < q; i++) {
cin >> queries[i].l >> queries[i].r;
--queries[i].l; --queries[i].r;
queries[i].id = i;
}
sort(queries.begin(), queries.end(), [&](const auto &a, const auto &b) {
return make_pair(a.l / B, a.r) < make_pair(b.l / B, b.r);
});
set<pair<int, int>> st;
int answ = 0;
auto Add = [&](int i) {
st.insert(make_pair(tin[c[i]], c[i]));
auto it = st.find(make_pair(tin[c[i]], c[i]));
if (st.size() == 1) {
return;
}
if (it == st.begin()) {
answ -= dist(next(it)->second, (--st.end())->second);
answ += dist(it->second, next(it)->second) + dist(it->second, (--st.end())->second);
} else if (it == --st.end()) {
answ -= dist(prev(it)->second, st.begin()->second);
answ += dist(it->second, prev(it)->second) + dist(it->second, st.begin()->second);
} else {
answ -= dist(prev(it)->second, next(it)->second);
answ += dist(it->second, prev(it)->second) + dist(it->second, next(it)->second);
}
};
auto Remove = [&](int i) {
auto it = st.find(make_pair(tin[c[i]], c[i]));
if (st.size() == 1) {
st.erase(it);
return;
}
if (it == st.begin()) {
answ += dist(next(it)->second, (--st.end())->second);
answ -= dist(it->second, next(it)->second) + dist(it->second, (--st.end())->second);
} else if (it == --st.end()) {
answ += dist(prev(it)->second, st.begin()->second);
answ -= dist(it->second, prev(it)->second) + dist(it->second, st.begin()->second);
} else {
debug(st, make_pair(tin[c[i]], c[i]));
answ += dist(prev(it)->second, next(it)->second);
answ -= dist(it->second, prev(it)->second) + dist(it->second, next(it)->second);
}
st.erase(it);
};
int l = 0, r = -1;
for (int i = 0; i < q; i++) {
while (l > queries[i].l) {
l--;
Add(l);
}
while (r < queries[i].r) {
r++;
Add(r);
}
while (l < queries[i].l) {
Remove(l);
l++;
}
while (r > queries[i].r) {
Remove(r);
r--;
}
ans[queries[i].id] = answ / 2;
}
for (int i = 0; i < q; i++) {
cout << ans[i] + 1 << '\n';
}
return 0;
}
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