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#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) {} 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 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; } } }