test/data_structure/Point_Set_Range_Composite.test.cpp

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Last update: 2024-05-23 18:52:03+09:00
Problem: https://judge.yosupo.jp/problem/point_set_range_composite

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Code

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

#include <iostream>


#include "../../data_structure/DynamicSegmentTree.hpp"

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


using mint = ebi::modint998244353;

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

F op(F f1, F f2) {
    return F(f2.a * f1.a, f2.a * f1.b + f2.b);
}

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

int main() {
    int n, q;
    std::cin >> n >> q;
    ebi::DynamicSegmentTree<F, op, e> seg(n);
    for (int i = 0; i < n; i++) {
        int a, b;
        std::cin >> a >> b;
        seg.set(i, F(a, b));
    }
    while (q--) {
        int t;
        std::cin >> t;
        if (t == 0) {
            int p, c, d;
            std::cin >> p >> c >> d;
            seg.set(p, F(c, d));
        } else {
            int l, r, x;
            std::cin >> l >> r >> x;
            auto f = seg.prod(l, r);
            std::cout << (f.a * x + f.b).value() << std::endl;
        }
    }
}

#line 1 "test/data_structure/Point_Set_Range_Composite.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/point_set_range_composite"

#include <iostream>


#line 2 "data_structure/DynamicSegmentTree.hpp"

#include <memory>


namespace ebi {

template <class Monoid, Monoid (*op)(Monoid, Monoid), Monoid (*e)()>
struct DynamicSegmentTree {
  private:
    struct Node;
    using node_ptr = std::shared_ptr<Node>;
    struct Node {
        Monoid val;
        node_ptr left, right, par;
        Node(node_ptr _par = nullptr)
            : val(e()), left(nullptr), right(nullptr), par(_par) {}
    };

    node_ptr root;
    int n;

  public:
    DynamicSegmentTree(int _n = 0) : n(1) {
        while (n < _n) {
            n <<= 1;
        }
        root = std::make_shared<Node>();
    }

    void set(int i, Monoid x) {
        int l = 0, r = n;
        node_ptr now = root;
        while (r - l > 1) {
            int mid = (l + r) / 2;
            if (i < mid) {
                if (!now->left) {
                    now->left = std::make_shared<Node>(now);
                }
                now = now->left;
                r = mid;
            } else {
                if (!now->right) {
                    now->right = std::make_shared<Node>(now);
                }
                now = now->right;
                l = mid;
            }
        }
        now->val = x;
        while (now->par) {
            now = now->par;
            now->val = e();
            if (now->left) now->val = now->left->val;
            if (now->right) now->val = op(now->val, now->right->val);
        }
    }

    Monoid prod(int tl, int tr, int l = 0, int r = -1, node_ptr now = nullptr) {
        if (!now) now = root;
        if (r < 0) r = n;
        if (tr <= l || r <= tl) {
            return e();
        }
        if (tl <= l && r <= tr) {
            return now->val;
        }
        Monoid val = e();
        if (now->left) {
            val = prod(tl, tr, l, (l + r) / 2, now->left);
        }
        if (now->right) {
            val = op(val, prod(tl, tr, (l + r) / 2, r, now->right));
        }
        return val;
    }

    Monoid all_prod() {
        return root->val;
    }

    Monoid get(int i) {
        int l = 0;
        int r = n;
        node_ptr now = root;
        while (r - l > 1) {
            int mid = (l + r) / 2;
            if (i < mid) {
                if (!now->left) return e();
                now = now->left;
                r = mid;
            } else {
                if (!now->right) return e();
                now = now->right;
                l = mid;
            }
        }
        return now->val;
    }
};

}  // namespace ebi
#line 2 "modint/modint.hpp"

#include <cassert>

#line 5 "modint/modint.hpp"

#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) {}

    template <std::signed_integral T> constexpr static_modint(T v) {
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }

    template <std::unsigned_integral T> constexpr static_modint(T v) {
        _v = (unsigned int)(v % umod());
    }

    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 7 "test/data_structure/Point_Set_Range_Composite.test.cpp"

using mint = ebi::modint998244353;

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

F op(F f1, F f2) {
    return F(f2.a * f1.a, f2.a * f1.b + f2.b);
}

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

int main() {
    int n, q;
    std::cin >> n >> q;
    ebi::DynamicSegmentTree<F, op, e> seg(n);
    for (int i = 0; i < n; i++) {
        int a, b;
        std::cin >> a >> b;
        seg.set(i, F(a, b));
    }
    while (q--) {
        int t;
        std::cin >> t;
        if (t == 0) {
            int p, c, d;
            std::cin >> p >> c >> d;
            seg.set(p, F(c, d));
        } else {
            int l, r, x;
            std::cin >> l >> r >> x;
            auto f = seg.prod(l, r);
            std::cout << (f.a * x + f.b).value() << std::endl;
        }
    }
}