#line 1 "test/yj_point_set_range_composite.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/point_set_range_composite"
#include <cstdint>
#include <cstdio>
#include <vector>
#line 1 "DataStructure/basic_segment_tree.cpp"
/**
* @brief 単一更新セグメント木
* @author えびちゃん
* @docs docs/basic_segment_tree.md
*/
#include <cstddef>
#include <algorithm>
#line 13 "DataStructure/basic_segment_tree.cpp"
template <typename Monoid>
class basic_segment_tree {
public:
using value_type = Monoid;
using size_type = size_t;
private:
std::vector<value_type> M_c;
size_type M_n;
public:
basic_segment_tree() = default;
explicit basic_segment_tree(size_type n): M_c(n+n), M_n(n) {}
explicit basic_segment_tree(size_type n, value_type const& x):
M_c(n+n, x), M_n(n)
{
for (size_type i = n; i--;) M_c[i] = M_c[i<<1|0] + M_c[i<<1|1];
}
template <typename InputIt>
basic_segment_tree(InputIt first, InputIt last) {
std::vector<value_type> tmp(first, last);
M_n = tmp.size();
M_c.resize(M_n);
M_c.insert(M_c.end(), tmp.begin(), tmp.end());
for (size_type i = M_n; i--;) M_c[i] = M_c[i<<1|0] + M_c[i<<1|1];
}
void assign(size_type n, value_type const& x) {
M_c.assign(n+n, x);
M_n = n;
for (size_type i = n; i--;) M_c[i] = M_c[i<<1|0] + M_c[i<<1|1];
}
template <typename InputIt>
void assign(InputIt first, InputIt last) {
std::vector<value_type> tmp(first, last);
M_n = tmp.size();
M_c.resize(M_n);
M_c.insert(M_c.end(), tmp.begin(), tmp.end());
for (size_type i = M_n; i--;) M_c[i] = M_c[i<<1|0] + M_c[i<<1|1];
}
void set(size_type i, value_type const& x) {
i += M_n;
M_c[i] = x;
while (i > 1) {
i >>= 1;
M_c[i] = M_c[i<<1|0] + M_c[i<<1|1];
}
}
void set(size_type i, value_type&& x) {
i += M_n;
M_c[i] = std::move(x);
while (i > 1) {
i >>= 1;
M_c[i] = M_c[i<<1|0] + M_c[i<<1|1];
}
}
value_type const& operator [](size_type i) const { return M_c[i + M_n]; }
value_type fold(size_type l, size_type r) const {
value_type resl{}, resr{};
l += M_n;
r += M_n;
while (l < r) {
if (l & 1) resl += M_c[l++];
if (r & 1) resr = M_c[--r] + std::move(resr);
l >>= 1;
r >>= 1;
}
return resl += resr;
}
template <typename Predicate>
size_type foldl_bisect(size_type l, Predicate pred) const {
size_type r = M_n+M_n;
value_type x{};
size_type h = 0;
if (l == M_n) return pred(x)? -1: l;
l += M_n;
auto bisect = [&](size_type v) -> size_type {
while (v < M_n) {
v <<= 1;
if (pred(x + M_c[v])) x += M_c[v++];
}
return v - M_n;
};
for (; l < r; ++h, l >>= 1, r >>= 1) {
if (l & 1) {
if (!pred(x + M_c[l])) return bisect(l);
x += M_c[l];
++l;
}
if (r & 1) --r;
}
while (r <<= 1, h--) {
if (((r+1) << h) <= M_n+M_n) {
if (!pred(x + M_c[r])) return bisect(r);
x += M_c[r];
++r;
}
}
return -1;
}
template <typename Predicate>
size_type foldr_bisect(size_type r, Predicate pred) const {
size_type l = M_n;
value_type x{};
size_type h = 0;
if (r == 0) return pred(x)? -1: 0;
r += M_n;
auto bisect = [&](size_type v) -> size_type {
while (v < M_n) {
v = (v << 1 | 1);
if (pred(M_c[v] + x)) x = M_c[v--] + std::move(x);
}
return v - M_n;
};
for (; l < r; ++h, l >>= 1, r >>= 1) {
if (l & 1) ++l;
if (r & 1) {
--r;
if (!pred(M_c[r] + x)) return bisect(r);
x = M_c[r] + std::move(x);
}
}
while (l <<= 1, h--) {
if (((l-1) << h) >= M_n) {
--l;
if (!pred(M_c[l] + x)) return bisect(l);
x = M_c[l] + std::move(x);
}
}
return -1;
}
};
#line 1 "utility/monoid/composite.cpp"
/**
* @brief 一次関数の合成を得る演算のモノイド
* @author えびちゃん
*/
#line 7 "utility/monoid/composite.cpp"
#include <utility>
#ifndef H_composite_monoid
#define H_composite_monoid
template <typename Tp>
class composite_monoid {
public:
using value_type = Tp;
private:
value_type M_a = 1;
value_type M_b = 0;
public:
composite_monoid() = default; // identity
composite_monoid(value_type a, value_type b): M_a(a), M_b(b) {};
composite_monoid& operator +=(composite_monoid that) {
M_a *= that.M_a;
M_b *= that.M_a;
M_b += that.M_b;
return *this;
}
composite_monoid operator +(composite_monoid const& that) const {
return composite_monoid(*this) += that;
}
composite_monoid operator +(composite_monoid&& that) const {
return composite_monoid(*this) += std::move(that);
}
bool operator ==(composite_monoid const& that) const {
return (M_a == that.M_a && M_b == that.M_b);
}
bool operator !=(composite_monoid const& that) const { return !(*this == that); }
auto get() const { return std::make_pair(M_a, M_b); }
value_type operator ()(value_type x) const { return M_a * x + M_b; }
};
#endif /* !defined(H_composite_monoid) */
#line 1 "ModularArithmetic/modint.cpp"
/**
* @brief 合同算術用クラス
* @author えびちゃん
*/
#line 10 "ModularArithmetic/modint.cpp"
#include <limits>
#include <type_traits>
#line 13 "ModularArithmetic/modint.cpp"
template <intmax_t Modulo>
class modint {
public:
using value_type = typename std::conditional<
(0 < Modulo && Modulo < std::numeric_limits<int>::max() / 2), int, intmax_t
>::type;
private:
static constexpr value_type S_cmod = Modulo; // compile-time
static value_type S_rmod; // runtime
value_type M_value = 0;
static constexpr value_type S_inv(value_type n, value_type m) {
value_type x = 0;
value_type y = 1;
value_type a = n;
value_type b = m;
for (value_type u = y, v = x; a;) {
value_type q = b / a;
std::swap(x -= q*u, u);
std::swap(y -= q*v, v);
std::swap(b -= q*a, a);
}
if ((x %= m) < 0) x += m;
return x;
}
static value_type S_normalize(intmax_t n, value_type m) {
if (n >= m) {
n %= m;
} else if (n < 0) {
if ((n %= m) < 0) n += m;
}
return n;
}
public:
modint() = default;
modint(intmax_t n): M_value(S_normalize(n, get_modulo())) {}
modint& operator =(intmax_t n) {
M_value = S_normalize(n, get_modulo());
return *this;
}
modint& operator +=(modint const& that) {
if ((M_value += that.M_value) >= get_modulo()) M_value -= get_modulo();
return *this;
}
modint& operator -=(modint const& that) {
if ((M_value -= that.M_value) < 0) M_value += get_modulo();
return *this;
}
modint& operator *=(modint const& that) {
intmax_t tmp = M_value;
tmp *= that.M_value;
M_value = tmp % get_modulo();
return *this;
}
modint& operator /=(modint const& that) {
intmax_t tmp = M_value;
tmp *= S_inv(that.M_value, get_modulo());
M_value = tmp % get_modulo();
return *this;
}
modint& operator ++() {
if (++M_value == get_modulo()) M_value = 0;
return *this;
}
modint& operator --() {
if (M_value-- == 0) M_value = get_modulo()-1;
return *this;
}
modint operator ++(int) { modint tmp(*this); ++*this; return tmp; }
modint operator --(int) { modint tmp(*this); --*this; return tmp; }
friend modint operator +(modint lhs, modint const& rhs) { return lhs += rhs; }
friend modint operator -(modint lhs, modint const& rhs) { return lhs -= rhs; }
friend modint operator *(modint lhs, modint const& rhs) { return lhs *= rhs; }
friend modint operator /(modint lhs, modint const& rhs) { return lhs /= rhs; }
modint operator +() const { return *this; }
modint operator -() const {
if (M_value == 0) return *this;
return modint(get_modulo() - M_value);
}
friend bool operator ==(modint const& lhs, modint const& rhs) {
return lhs.M_value == rhs.M_value;
}
friend bool operator !=(modint const& lhs, modint const& rhs) {
return !(lhs == rhs);
}
value_type get() const { return M_value; }
static value_type get_modulo() { return ((S_cmod > 0)? S_cmod: S_rmod); }
template <int M = Modulo, typename Tp = typename std::enable_if<(M <= 0)>::type>
static Tp set_modulo(value_type m) { S_rmod = m; }
};
template <intmax_t N>
constexpr typename modint<N>::value_type modint<N>::S_cmod;
template <intmax_t N>
typename modint<N>::value_type modint<N>::S_rmod;
#line 10 "test/yj_point_set_range_composite.test.cpp"
constexpr intmax_t mod = 998244353;
using mi = modint<mod>;
int main() {
size_t n, q;
scanf("%zu %zu", &n, &q);
std::vector<composite_monoid<mi>> f(n);
for (size_t i = 0; i < n; ++i) {
int a, b;
scanf("%d %d", &a, &b);
f[i] = {a, b};
}
basic_segment_tree<composite_monoid<mi>> st(f.begin(), f.end());
for (size_t i = 0; i < q; ++i) {
int t;
scanf("%d", &t);
if (t == 0) {
size_t p;
int c, d;
scanf("%zu %d %d", &p, &c, &d);
st.set(p, {c, d});
} else if (t == 1) {
size_t l, r;
intmax_t x;
scanf("%zu %zu %jd", &l, &r, &x);
printf("%d\n", st.fold(l, r)(x).get());
}
}
}
test/yj_point_set_range_composite.test.cpp