This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,sse4.2,popcnt,lzcnt")
#include <bits/stdc++.h>
#define taskname ""
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define ll long long
#define ld long double
#define pb push_back
#define ff first
#define ss second
#define pii pair<int, int>
#define vi vector<int>
#define vii vector<pii>
using namespace std;
const int mxN = 1e5 + 5;
const int mod = 1e9 + 7;
const int block = 350;
const ll oo = 1e18;
struct query {
int l, r, idx;
query() {};
query(int l, int r, int idx) : l(l), r(r), idx(idx) {}
bool operator < (const query &o) const {
int cur_blk = l / block;
if(cur_blk != o.l / block) return l < o.l;
return (cur_blk & 1 ? r > o.r : r < o.r);
}
};
vi G[mxN];
set<pii> cur_tree;
pii euler_tour[18][2 * mxN];
int n, m, q, c[mxN], res, ans[mxN], cnt[mxN];
int tin[mxN], tout[mxN], dep[mxN], frst_ap[mxN], euler_cnt, timer;
vector<query> queries;
void dfs(int v, int p) {
tin[v] = ++timer;
dep[v] = dep[p] + 1;
frst_ap[v] = ++euler_cnt;
euler_tour[0][euler_cnt] = {dep[v], v};
for(int u : G[v]) {
if(u == p) continue;
dfs(u, v);
euler_tour[0][++euler_cnt] = {dep[v], v};
}
tout[v] = timer;
}
void build_sparse() {
for(int i = 1; (1 << i) <= euler_cnt; ++i) {
for(int j = 1; j + (1 << i) - 1 <= euler_cnt; ++j) {
euler_tour[i][j] = min(euler_tour[i - 1][j], euler_tour[i - 1][j + (1 << (i - 1))]);
}
}
}
int lca(int u, int v) {
int l = frst_ap[u], r = frst_ap[v];
if(l > r) swap(l, r);
int len = r - l + 1;
int lg_len = 31 - __builtin_clz(len);
return min(euler_tour[lg_len][l], euler_tour[lg_len][r - (1 << lg_len) + 1]).ss;
}
int dis(int u, int v) {
int acl = lca(u, v);
return (dep[u] + dep[v] - 2 * dep[acl]);
}
int ll_nxt[mxN], ll_pre[mxN];
void add_linked_list(int idx, int nxt) {
int pre = ll_pre[nxt];
res += dis(pre, idx);
res += dis(nxt, idx);
res -= dis(pre, nxt);
ll_nxt[pre] = ll_pre[nxt] = idx;
ll_nxt[idx] = nxt, ll_pre[idx] = pre;
}
void del_linked_list(int idx) {
int pre = ll_pre[idx], nxt = ll_nxt[idx];
res -= dis(pre, idx);
res -= dis(nxt, idx);
res += dis(pre, nxt);
ll_nxt[pre] = nxt, ll_pre[nxt] = pre;
}
void add(int idx) {
++cnt[c[idx]];
if(cnt[c[idx]] > 1) return;
int val = tin[c[idx]];
if(cur_tree.empty()) {
cur_tree.insert({val, c[idx]});
ll_nxt[c[idx]] = ll_pre[c[idx]] = c[idx];
return;
}
auto it = cur_tree.lower_bound({val, 0});
int nxt = (it == cur_tree.end() ? (*cur_tree.begin()).ss : (*it).ss);
add_linked_list(c[idx], nxt);
cur_tree.insert({val, c[idx]});
}
void del(int idx) {
--cnt[c[idx]];
if(cnt[c[idx]]) return;
int val = tin[c[idx]];
cur_tree.erase({val, c[idx]});
if(cur_tree.empty()) return;
del_linked_list(c[idx]);
}
void solve() {
cin >> n >> m >> q;
for(int i = 1; i < n; ++i) {
int u, v; cin >> u >> v;
G[u].emplace_back(v);
G[v].emplace_back(u);
}
dfs(1, 0);
build_sparse();
for(int i = 1; i <= m; ++i) {
cin >> c[i];
}
for(int i = 1; i <= q; ++i) {
int l, r; cin >> l >> r;
queries.emplace_back(l, r, i);
}
sort(all(queries));
int cur_l = 1, cur_r = 0;
for(auto &[l, r, idx] : queries) {
while(cur_l > l) add(--cur_l);
while(cur_r < r) add(++cur_r);
while(cur_l < l) del(cur_l++);
while(cur_r > r) del(cur_r--);
// cout << res << endl;
// for(auto tmp : cur_tree) {
// cout << tmp.ff << " " << tmp.ss << endl;
// }
// cout << endl;
ans[idx] = res / 2 + 1;
}
for(int i = 1; i <= q; ++i) {
cout << ans[i] << "\n";
}
}
signed main() {
#ifndef CDuongg
if(fopen(taskname".inp", "r"))
assert(freopen(taskname".inp", "r", stdin)), assert(freopen(taskname".out", "w", stdout));
#else
freopen("bai3.inp", "r", stdin);
freopen("bai3.out", "w", stdout);
auto start = chrono::high_resolution_clock::now();
#endif
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1; //cin >> t;
while(t--) solve();
#ifdef CDuongg
auto end = chrono::high_resolution_clock::now();
cout << "\n"; for(int i = 1; i <= 100; ++i) cout << '=';
cout << "\nExecution time: " << chrono::duration_cast<chrono::milliseconds> (end - start).count() << "[ms]" << endl;
#endif
}
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