Library

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:heavy_check_mark: test/data_structure/Range_Affine_Range_Sum.test.cpp

Depends on

Code

#define PROBLEM "https://judge.yosupo.jp/problem/range_affine_range_sum"

#include "../../data_structure/lazy_segtree.hpp"

#include "../../modint/modint.hpp"

#include "../../template/template.hpp"


using mint = ebi::modint998244353;

struct S {
    mint a;
    int size;
};

struct F {
    mint a, b;
    F(mint a, mint b) : a(a), b(b) {}
};

S op(S l, S r) {
    return S{l.a + r.a, l.size + r.size};
}

S e() {
    return S{0, 0};
}

S mapping(F l, S r) {
    return S{r.a * l.a + (mint)r.size * l.b, r.size};
}

F merge(F l, F r) {
    return F{r.a * l.a, r.b * l.a + l.b};
}

F id() {
    return F{1, 0};
}

int main() {
    int n, q;
    std::cin >> n >> q;
    std::vector<S> v(n);
    for (int i = 0; i < n; i++) {
        int a;
        std::cin >> a;
        v[i] = {a, 1};
    }
    ebi::lazy_segtree<S, op, e, F, mapping, merge, id> seg(v);
    while (q--) {
        int t;
        std::cin >> t;
        if (t == 0) {
            int l, r, b, c;
            std::cin >> l >> r >> b >> c;
            seg.apply(l, r, F(b, c));
        } else {
            int l, r;
            std::cin >> l >> r;
            std::cout << seg.prod(l, r).a.value() << std::endl;
        }
    }
}
#line 1 "test/data_structure/Range_Affine_Range_Sum.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/range_affine_range_sum"

#line 2 "data_structure/lazy_segtree.hpp"

/*
    reference:
   https://atcoder.github.io/ac-library/master/document_ja/lazysegtree.html
*/

#include <bit>

#include <cassert>

#include <cstdint>

#include <ranges>

#include <vector>


namespace ebi {

template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
          F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
  private:
    void update(int i) {
        data[i] = op(data[2 * i], data[2 * i + 1]);
    }

    void all_apply(int k, F f) {
        data[k] = mapping(f, data[k]);
        if (k < sz) lazy[k] = composition(f, lazy[k]);
    }

    void push(int i) {
        all_apply(2 * i, lazy[i]);
        all_apply(2 * i + 1, lazy[i]);
        lazy[i] = id();
    }

  public:
    lazy_segtree(int n_) : lazy_segtree(std::vector<S>(n_, e())) {}
    lazy_segtree(const std::vector<S> &a)
        : n(a.size()),
          sz(std::bit_ceil(a.size())),
          lg2(std::countr_zero(std::uint32_t(sz))) {
        data = std::vector<S>(2 * sz, e());
        lazy = std::vector<F>(sz, id());
        for (int i : std::views::iota(0, n)) {
            data[sz + i] = a[i];
        }
        for (int i : std::views::iota(1, sz) | std::views::reverse) {
            update(i);
        }
    }

    void set(int p, S x) {
        assert(0 <= p && p < n);
        p += sz;
        for (int i = lg2; i >= 1; i--) push(p >> i);
        data[p] = x;
        for (int i = 1; i <= lg2; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < n);
        p += sz;
        for (int i = lg2; i >= 1; i--) push(p >> i);
        return data[p];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= n);
        if (l == r) return e();

        l += sz;
        r += sz;

        for (int i = lg2; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        S sml = e(), smr = e();
        while (l < r) {
            if (l & 1) sml = op(sml, data[l++]);
            if (r & 1) smr = op(data[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

    S all_prod() const {
        return data[1];
    }

    void apply(int p, F f) {
        assert(0 <= p && p < n);
        p += sz;
        for (int i = lg2; i >= 1; i--) push(p >> i);
        data[p] = mapping(f, data[p]);
        for (int i = 1; i <= lg2; i++) update(p >> i);
    }

    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= n);
        l += sz;
        r += sz;
        for (int i = lg2; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int memo_l = l, memo_r = r;
            while (l < r) {
                if (l & 1) all_apply(l++, f);
                if (r & 1) all_apply(--r, f);
                l >>= 1;
                r >>= 1;
            }
            l = memo_l;
            r = memo_r;
        }

        for (int i = 1; i <= lg2; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

    template <class G> int max_right(int l, G g) {
        assert(0 <= l && l <= n);
        assert(g(e()));
        if (l == n) return n;
        l += sz;
        for (int i = lg2; i >= 1; i--) push(l >> i);
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!g(op(sm, data[l]))) {
                while (l < sz) {
                    push(l);
                    l = l << 1;
                    if (g(op(sm, data[l]))) {
                        sm = op(sm, data[l]);
                        l++;
                    }
                }
                return l - sz;
            }
            sm = op(sm, data[l]);
            l++;
        } while ((l & -l) != l);
        return n;
    }

    template <class G> int min_left(int r, G g) {
        assert(0 <= r && r <= n);
        assert(g(e()));
        if (r == 0) return 0;
        r += sz;
        for (int i = lg2; i >= 1; i--) push((r - 1) >> i);
        S sm = e();
        do {
            r--;
            while (r > 1 && r % 2) r >>= 1;
            if (!g(op(data[r], sm))) {
                while (r < sz) {
                    push(r);
                    r = (r << 1) + 1;
                    if (g(op(data[r], sm))) {
                        sm = op(data[r], sm);
                        r--;
                    }
                }
                return r + 1 - sz;
            }
            sm = op(data[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

  private:
    int n, sz, lg2;
    std::vector<S> data;
    std::vector<F> lazy;
};

}  // namespace ebi

#line 2 "modint/modint.hpp"

#line 4 "modint/modint.hpp"
#include <iostream>


#line 2 "modint/base.hpp"

#include <concepts>
#line 5 "modint/base.hpp"
#include <utility>

namespace ebi {

template <class T>
concept Modint = requires(T a, T b) {
    a + b;
    a - b;
    a * b;
    a / b;
    a.inv();
    a.val();
    a.pow(std::declval<long long>());
    T::mod();
};

template <Modint mint> std::istream &operator>>(std::istream &os, mint &a) {
    long long x;
    os >> x;
    a = x;
    return os;
}

template <Modint mint>
std::ostream &operator<<(std::ostream &os, const mint &a) {
    return os << a.val();
}

}  // namespace ebi
#line 7 "modint/modint.hpp"

namespace ebi {

template <int m> struct static_modint {
  private:
    using modint = static_modint;

  public:
    static constexpr int mod() {
        return m;
    }

    static constexpr modint raw(int v) {
        modint x;
        x._v = v;
        return x;
    }

    constexpr static_modint() : _v(0) {}

    constexpr static_modint(long long v) {
        v %= (long long)umod();
        if (v < 0) v += (long long)umod();
        _v = (unsigned int)v;
    }

    constexpr unsigned int val() const {
        return _v;
    }

    constexpr unsigned int value() const {
        return val();
    }

    constexpr modint &operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    constexpr modint &operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }

    constexpr modint operator++(int) {
        modint res = *this;
        ++*this;
        return res;
    }
    constexpr modint operator--(int) {
        modint res = *this;
        --*this;
        return res;
    }

    constexpr modint &operator+=(const modint &rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    constexpr modint &operator-=(const modint &rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    constexpr modint &operator*=(const modint &rhs) {
        unsigned long long x = _v;
        x *= rhs._v;
        _v = (unsigned int)(x % (unsigned long long)umod());
        return *this;
    }
    constexpr modint &operator/=(const modint &rhs) {
        return *this = *this * rhs.inv();
    }

    constexpr modint operator+() const {
        return *this;
    }
    constexpr modint operator-() const {
        return modint() - *this;
    }

    constexpr modint pow(long long n) const {
        assert(0 <= n);
        modint x = *this, res = 1;
        while (n) {
            if (n & 1) res *= x;
            x *= x;
            n >>= 1;
        }
        return res;
    }
    constexpr modint inv() const {
        assert(_v);
        return pow(umod() - 2);
    }

    friend modint operator+(const modint &lhs, const modint &rhs) {
        return modint(lhs) += rhs;
    }
    friend modint operator-(const modint &lhs, const modint &rhs) {
        return modint(lhs) -= rhs;
    }
    friend modint operator*(const modint &lhs, const modint &rhs) {
        return modint(lhs) *= rhs;
    }

    friend modint operator/(const modint &lhs, const modint &rhs) {
        return modint(lhs) /= rhs;
    }
    friend bool operator==(const modint &lhs, const modint &rhs) {
        return lhs.val() == rhs.val();
    }
    friend bool operator!=(const modint &lhs, const modint &rhs) {
        return !(lhs == rhs);
    }

  private:
    unsigned int _v = 0;

    static constexpr unsigned int umod() {
        return m;
    }
};

using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;

}  // namespace ebi
#line 1 "template/template.hpp"
#include <bits/stdc++.h>

#define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++)
#define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--)
#define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++)
#define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()

#line 2 "template/debug_template.hpp"

#line 4 "template/debug_template.hpp"

namespace ebi {

#ifdef LOCAL
#define debug(...)                                                      \
    std::cerr << "LINE: " << __LINE__ << "  [" << #__VA_ARGS__ << "]:", \
        debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out() {
    std::cerr << std::endl;
}

template <typename Head, typename... Tail> void debug_out(Head h, Tail... t) {
    std::cerr << " " << h;
    if (sizeof...(t) > 0) std::cerr << " :";
    debug_out(t...);
}

}  // namespace ebi
#line 2 "template/int_alias.hpp"

#line 4 "template/int_alias.hpp"

namespace ebi {

using ld = long double;
using std::size_t;
using i8 = std::int8_t;
using u8 = std::uint8_t;
using i16 = std::int16_t;
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;

}  // namespace ebi
#line 2 "template/io.hpp"

#line 5 "template/io.hpp"
#include <optional>
#line 7 "template/io.hpp"

namespace ebi {

template <typename T1, typename T2>
std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa) {
    return os << pa.first << " " << pa.second;
}

template <typename T1, typename T2>
std::istream &operator>>(std::istream &os, std::pair<T1, T2> &pa) {
    return os >> pa.first >> pa.second;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) {
    for (std::size_t i = 0; i < vec.size(); i++)
        os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    return os;
}

template <typename T>
std::istream &operator>>(std::istream &os, std::vector<T> &vec) {
    for (T &e : vec) std::cin >> e;
    return os;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::optional<T> &opt) {
    if (opt) {
        os << opt.value();
    } else {
        os << "invalid value";
    }
    return os;
}

void fast_io() {
    std::cout << std::fixed << std::setprecision(15);
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
}

}  // namespace ebi
#line 2 "template/utility.hpp"

#line 5 "template/utility.hpp"

#line 2 "graph/base.hpp"

#line 7 "graph/base.hpp"

#line 2 "data_structure/simple_csr.hpp"

#line 6 "data_structure/simple_csr.hpp"

namespace ebi {

template <class E> struct simple_csr {
    simple_csr() = default;

    simple_csr(int n, const std::vector<std::pair<int, E>>& elements)
        : start(n + 1, 0), elist(elements.size()) {
        for (auto e : elements) {
            start[e.first + 1]++;
        }
        for (auto i : std::views::iota(0, n)) {
            start[i + 1] += start[i];
        }
        auto counter = start;
        for (auto [i, e] : elements) {
            elist[counter[i]++] = e;
        }
    }

    simple_csr(const std::vector<std::vector<E>>& es)
        : start(es.size() + 1, 0) {
        int n = es.size();
        for (auto i : std::views::iota(0, n)) {
            start[i + 1] = (int)es[i].size() + start[i];
        }
        elist.resize(start.back());
        for (auto i : std::views::iota(0, n)) {
            std::copy(es[i].begin(), es[i].end(), elist.begin() + start[i]);
        }
    }

    int size() const {
        return (int)start.size() - 1;
    }

    const auto operator[](int i) const {
        return std::ranges::subrange(elist.begin() + start[i],
                                     elist.begin() + start[i + 1]);
    }
    auto operator[](int i) {
        return std::ranges::subrange(elist.begin() + start[i],
                                     elist.begin() + start[i + 1]);
    }

    const auto operator()(int i, int l, int r) const {
        return std::ranges::subrange(elist.begin() + start[i] + l,
                                     elist.begin() + start[i + 1] + r);
    }
    auto operator()(int i, int l, int r) {
        return std::ranges::subrange(elist.begin() + start[i] + l,
                                     elist.begin() + start[i + 1] + r);
    }

  private:
    std::vector<int> start;
    std::vector<E> elist;
};

}  // namespace ebi
#line 9 "graph/base.hpp"

namespace ebi {

template <class T> struct Edge {
    int from, to;
    T cost;
    int id;
};

template <class E> struct Graph {
    using cost_type = E;
    using edge_type = Edge<cost_type>;

    Graph(int n_) : n(n_) {}

    Graph() = default;

    void add_edge(int u, int v, cost_type c) {
        buff.emplace_back(u, edge_type{u, v, c, m});
        edges.emplace_back(edge_type{u, v, c, m++});
    }

    void add_undirected_edge(int u, int v, cost_type c) {
        buff.emplace_back(u, edge_type{u, v, c, m});
        buff.emplace_back(v, edge_type{v, u, c, m});
        edges.emplace_back(edge_type{u, v, c, m});
        m++;
    }

    void read_tree(int offset = 1, bool is_weighted = false) {
        read_graph(n - 1, offset, false, is_weighted);
    }

    void read_parents(int offset = 1) {
        for (auto i : std::views::iota(1, n)) {
            int p;
            std::cin >> p;
            p -= offset;
            add_undirected_edge(p, i, 1);
        }
        build();
    }

    void read_graph(int e, int offset = 1, bool is_directed = false,
                    bool is_weighted = false) {
        for (int i = 0; i < e; i++) {
            int u, v;
            std::cin >> u >> v;
            u -= offset;
            v -= offset;
            if (is_weighted) {
                cost_type c;
                std::cin >> c;
                if (is_directed) {
                    add_edge(u, v, c);
                } else {
                    add_undirected_edge(u, v, c);
                }
            } else {
                if (is_directed) {
                    add_edge(u, v, 1);
                } else {
                    add_undirected_edge(u, v, 1);
                }
            }
        }
        build();
    }

    void build() {
        assert(!prepared);
        csr = simple_csr<edge_type>(n, buff);
        buff.clear();
        prepared = true;
    }

    int size() const {
        return n;
    }

    int node_number() const {
        return n;
    }

    int edge_number() const {
        return m;
    }

    edge_type get_edge(int i) const {
        return edges[i];
    }

    std::vector<edge_type> get_edges() const {
        return edges;
    }

    const auto operator[](int i) const {
        return csr[i];
    }
    auto operator[](int i) {
        return csr[i];
    }

  private:
    int n, m = 0;

    std::vector<std::pair<int,edge_type>> buff;

    std::vector<edge_type> edges;
    simple_csr<edge_type> csr;
    bool prepared = false;
};

}  // namespace ebi
#line 8 "template/utility.hpp"

namespace ebi {

template <class T> inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> T safe_ceil(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return (a / b) + 1;
    else
        return -((-a) / b);
}

template <class T> T safe_floor(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return a / b;
    else
        return -((-a) / b) - 1;
}

constexpr i64 LNF = std::numeric_limits<i64>::max() / 4;

constexpr int INF = std::numeric_limits<int>::max() / 2;

const std::vector<int> dy = {1, 0, -1, 0, 1, 1, -1, -1};
const std::vector<int> dx = {0, 1, 0, -1, 1, -1, 1, -1};

}  // namespace ebi
#line 6 "test/data_structure/Range_Affine_Range_Sum.test.cpp"

using mint = ebi::modint998244353;

struct S {
    mint a;
    int size;
};

struct F {
    mint a, b;
    F(mint a, mint b) : a(a), b(b) {}
};

S op(S l, S r) {
    return S{l.a + r.a, l.size + r.size};
}

S e() {
    return S{0, 0};
}

S mapping(F l, S r) {
    return S{r.a * l.a + (mint)r.size * l.b, r.size};
}

F merge(F l, F r) {
    return F{r.a * l.a, r.b * l.a + l.b};
}

F id() {
    return F{1, 0};
}

int main() {
    int n, q;
    std::cin >> n >> q;
    std::vector<S> v(n);
    for (int i = 0; i < n; i++) {
        int a;
        std::cin >> a;
        v[i] = {a, 1};
    }
    ebi::lazy_segtree<S, op, e, F, mapping, merge, id> seg(v);
    while (q--) {
        int t;
        std::cin >> t;
        if (t == 0) {
            int l, r, b, c;
            std::cin >> l >> r >> b >> c;
            seg.apply(l, r, F(b, c));
        } else {
            int l, r;
            std::cin >> l >> r;
            std::cout << seg.prod(l, r).a.value() << std::endl;
        }
    }
}
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