CSES-solutions/CSES Problem Set/Visible Buildings Queries.cpp
2025-10-01 10:35:11 -03:00

179 lines
3.8 KiB
C++

/* Problem URL: https://cses.fi/problemset/task/3304 */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, q;
cin >> n >> q;
vl fds(n);
cin >> fds;
vvi sparse(20, vi(n));
rep(i, n) {
sparse[0][i] = fds[i];
}
nrep(j, 1, 20) {
for (int i = 0; i + (1 << (j - 1)) < n; i++) {
sparse[j][i] = max(sparse[j - 1][i], sparse[j - 1][i + (1 << (j - 1))]);
}
}
auto squery = [&](int i, int j) {
int log = 31 - __builtin_clz(j - i + 1);
return max(sparse[log][i], sparse[log][j - (1 << log) + 1]);
};
vi ans(n);
rep(i, n) {
int low = 0;
int high = i - 1;
int act = i;
while (low <= high) {
int mid = (low + high) >> 1;
if (squery(mid, i - 1) < fds[i]) {
act = mid;
high = mid - 1;
continue;
}
low = mid + 1;
}
ans[i] = act;
}
int oo = INT32_MAX >> 1;
while (__builtin_popcount(n) != 1) {
n++;
ans.push_back(oo);
}
vvi mergeseg(n * 2);
function<void(int, int, int)> build = [&](int i, int l, int r) {
if (l == r) {
mergeseg[i] = {ans[i - n]};
return;
}
int mid = (l + r) >> 1;
build(i * 2, l, mid);
build(i * 2 + 1, mid + 1, r);
merge(all(mergeseg[i * 2]), all(mergeseg[i * 2 + 1]), back_inserter(mergeseg[i]));
};
build(1, 0, n - 1);
function<int(int, int, int, int, int, int)> query = [&](int i, int l, int r, int tl, int tr, int v) -> int {
if (l > tr || r < tl) {
return 0;
}
if (l >= tl && r <= tr) {
auto upper = upper_bound(all(mergeseg[i]), v);
return upper - mergeseg[i].begin();
}
int mid = (l + r) >> 1;
return query(i * 2, l, mid, tl, tr, v) + query(i * 2 + 1, mid + 1, r, tl, tr, v);
};
while (q--) {
int a, b;
cin >> a >> b;
a--, b--;
cout << query(1, 0, n - 1, a, b, a) << '\n';
}
}