CSES-solutions/CSES Problem Set/Range Updates and Sums.cpp

/* Problem URL: https://cses.fi/problemset/task/1735 */

#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, m;
    cin >> n >> m;

    vl fds(n);
    cin >> fds;

    while (__builtin_popcount(n) != 1) {
        n++;
        fds.push_back(0);
    }

    vl seg(n * 2);
    vl lazyadd(n * 2);
    vl lazyset(n * 2);
    V<bool> updadd(n * 2);
    V<bool> updset(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 propagateset = [&](int i, int l, int r) {
        if (!updset[i]) {
            return;
        }

        updset[i] = false;

        if (i >= n) {
            seg[i] = lazyset[i];
            return;
        }

        seg[i] = lazyset[i] * (r - l + 1);
        lazyset[i * 2] = lazyset[i];
        lazyset[i * 2 + 1] = lazyset[i];
        updset[i * 2] = true;
        updset[i * 2 + 1] = true;

        lazyadd[i * 2] = 0;
        lazyadd[i * 2 + 1] = 0;
        updadd[i * 2] = false;
        updadd[i * 2 + 1] = false;
    };

    auto propagateadd = [&](int i, int l, int r) {
        if (!updadd[i]) {
            return;
        }

        updadd[i] = false;

        if (i >= n) {
            seg[i] += lazyadd[i];
            lazyadd[i] = 0;
            return;
        }

        seg[i] += lazyadd[i] * (r - l + 1);
        lazyadd[i * 2] += lazyadd[i];
        lazyadd[i * 2 + 1] += lazyadd[i];
        updadd[i * 2] = true;
        updadd[i * 2 + 1] = true;
        lazyadd[i] = 0;
    };

    auto propagate = [&](int i, int l, int r) {
        propagateset(i, l, r);
        propagateadd(i, l, r);
    };

    function<void(int, int, int, int, int, ll v)> updateset = [&](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) {
            lazyset[i] = v;
            updset[i] = true;
            updadd[i] = false;
            lazyadd[i] = 0;
            propagate(i, l, r);
            return;
        }

        int mid = (l + r) >> 1;

        updateset(i * 2, l, mid, tl, tr, v);
        updateset(i * 2 + 1, mid + 1, r, tl, tr, v);

        seg[i] = seg[i * 2] + seg[i * 2 + 1];
    };

    function<void(int, int, int, int, int, ll v)> updateadd = [&](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) {
            lazyadd[i] += v;
            updadd[i] = true;
            propagate(i, l, r);
            return;
        }

        int mid = (l + r) >> 1;

        updateadd(i * 2, l, mid, tl, tr, v);
        updateadd(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) {
        if (l > tr || r < tl) {
            return 0LL;
        }

        propagate(i, l, r);

        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 (m--) {
        int op;
        cin >> op;

        if (op == 1) {
            int l, r;
            ll v;
            cin >> l >> r >> v;
            updateadd(1, 0, n - 1, l - 1, r - 1, v);
            continue;
        }

        if (op == 2) {
            int l, r;
            ll v;
            cin >> l >> r >> v;
            updateset(1, 0, n - 1, l - 1, r - 1, v);
            continue;
        }

        int l, r;
        cin >> l >> r;
        cout << query(1, 0, n - 1, l - 1, r - 1) << '\n';
    }
}