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

182 lines
3.8 KiB
C++

/* Problem URL: https://cses.fi/problemset/task/1736 */
#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;
while (__builtin_popcount(n) != 1) {
n++;
fds.push_back(0);
}
vl seg(n * 2);
vl lazy(n * 2);
vl c(n * 2);
V<bool> upd(n * 2);
nrep(i, n, n * 2) {
seg[i] = fds[i - n];
}
for (int i = n - 1; i > 0; i--) {
seg[i] = seg[i * 2] + seg[i * 2 + 1];
}
auto propagate = [&](int i, int l, int r) {
if (!upd[i]) {
return;
}
upd[i] = false;
ll size = (r - l + 1);
seg[i] += (size * (r + l) / 2) * c[i] + c[i] * size - lazy[i] * size;
if (i < n) {
lazy[i * 2] += lazy[i];
lazy[i * 2 + 1] += lazy[i];
c[i * 2] += c[i];
c[i * 2 + 1] += c[i];
upd[i * 2] = true;
upd[i * 2 + 1] = true;
}
c[i] = 0;
lazy[i] = 0;
};
function<void(int, int, int, int, int, ll)> update = [&](int i, int l, int r, int tl, int tr, ll v) {
propagate(i, l, r);
if (l > tr || r < tl) {
return;
}
if (l >= tl && r <= tr) {
lazy[i] += v;
upd[i] = true;
c[i]++;
propagate(i, l, r);
return;
}
int mid = (l + r) >> 1;
update(i * 2, l, mid, tl, tr, v);
update(i * 2 + 1, mid + 1, r, tl, tr, v);
seg[i] = seg[i * 2] + seg[i * 2 + 1];
};
function<ll(int, int, int, int, int)> query = [&](int i, int l, int r, int tl, int tr) {
propagate(i, l, r);
if (l > tr || r < tl) {
return 0LL;
}
if (l >= tl && r <= tr) {
return seg[i];
}
int mid = (l + r) >> 1;
return query(i * 2, l, mid, tl, tr) + query(i * 2 + 1, mid + 1, r, tl, tr);
};
while (q--) {
int op, l, r;
cin >> op >> l >> r;
if (op == 1) {
update(1, 1, n, l, r, l);
continue;
}
cout << query(1, 1, n, l, r) << '\n';
}
}