This documentation is automatically generated by online-judge-tools/verification-helper
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/point_set_range_composite
#include "../../template/template.hpp"
#include "../../structure/develop/splay-tree-base.hpp"
#include "../../structure/develop/reversible-splay-tree.hpp"
#include "../../math/combinatorics/montgomery-mod-int.hpp"
using mint = modint998244353;
int main() {
int N, Q;
cin >> N >> Q;
using pi = pair< mint, mint >;
auto f = [](const pi &a, const pi &b) -> pi {
return {a.first * b.first, a.second * b.first + b.second};
};
auto s = [](const pi &a) { return a; };
RST< pi > seg(f, s, pi(1, 0));
vector< pi > V(N);
for(int i = 0; i < N; i++) {
cin >> V[i].first >> V[i].second;
}
auto root = seg.build(V);
for(int i = 0; i < Q; i++) {
int t;
cin >> t;
if(t == 0) {
int p;
mint a, b;
cin >> p >> a >> b;
root = seg.set_element(root, p, pi(a, b));
} else {
int l, r;
mint x;
cin >> l >> r >> x;
auto ret = seg.query(root, l, r);
cout << ret.first * x + ret.second << "\n";
}
}
}
#line 1 "test/verify/yosupo-point-set-range-composite-3.test.cpp"
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/point_set_range_composite
#line 1 "template/template.hpp"
#include <bits/stdc++.h>
using namespace std;
using int64 = long long;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &in : v) is >> in;
return is;
}
template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
return a < b && (a = b, true);
}
template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
return a > b && (a = b, true);
}
template <typename T = int64>
vector<T> make_v(size_t a) {
return vector<T>(a);
}
template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
t = v;
}
template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
for (auto &e : t) fill_v(e, v);
}
template <typename F>
struct FixPoint : F {
explicit FixPoint(F &&f) : F(forward<F>(f)) {}
template <typename... Args>
decltype(auto) operator()(Args &&...args) const {
return F::operator()(*this, forward<Args>(args)...);
}
};
template <typename F>
inline decltype(auto) MFP(F &&f) {
return FixPoint<F>{forward<F>(f)};
}
#line 4 "test/verify/yosupo-point-set-range-composite-3.test.cpp"
#line 1 "structure/develop/splay-tree-base.hpp"
/**
* @brief Splay-Tree-Base(Splay木)
*/
template <typename Node>
struct SplayTreeBase {
public:
using NP = Node *;
bool is_root(const NP &t) const {
return !t->p || (t->p->l != t && t->p->r != t);
}
inline size_t count(const NP &t) const { return t ? t->sz : 0; }
void splay(NP t) {
push(t);
while (!is_root(t)) {
auto *q = t->p;
if (!is_root(t)) {
push(q), push(t);
if (q->l == t)
rotr(t);
else
rotl(t);
} else {
auto *r = q->p;
push(r), push(q), push(t);
if (r->l == q) {
if (q->l == t)
rotr(q), rotr(t);
else
rotl(t), rotr(t);
} else {
if (q->r == t)
rotl(q), rotl(t);
else
rotr(t), rotl(t);
}
}
}
}
NP erase(NP t) {
splay(t);
Node *x = t->l, *y = t->r;
delete t;
if (!x) {
t = y;
if (t) t->p = nullptr;
} else if (!y) {
t = x;
t->p = nullptr;
} else {
x->p = nullptr;
t = get_right(x);
splay(t);
t->r = y;
y->p = t;
}
return t;
}
NP splay_front(NP t) {
splay(t);
while (t->l) t = t->l;
splay(t);
return t;
}
NP splay_back(NP t) {
splay(t);
while (t->r) t = t->r;
splay(t);
return t;
}
pair<NP, NP> split(NP t, int k) {
if (!t) return {nullptr, nullptr};
push(t);
if (k <= count(t->l)) {
auto x = split(t->l, k);
t->l = x.second;
t->p = nullptr;
if (x.second) x.second->p = t;
return {x.first, update(t)};
} else {
auto x = split(t->r, k - count(t->l) - 1);
t->r = x.first;
t->p = nullptr;
if (x.first) x.first->p = t;
return {update(t), x.second};
}
}
template <typename... Args>
NP merge(NP p, Args... args) {
return merge(p, merge(args...));
}
NP merge(NP l, NP r) {
if (!l && !r) return nullptr;
if (!l) return splay(r), r;
if (!r) return splay(l), l;
splay(l), splay(r);
l = splay_back(l);
l->r = r;
r->p = l;
update(l);
return l;
}
tuple<NP, NP, NP> split3(NP t, int a, int b) {
splay(t);
auto x = split(t, a);
auto y = split(x.second, b - a);
return make_tuple(x.first, y.first, y.second);
}
virtual void push(NP t) = 0;
virtual Node *update(NP t) = 0;
private:
void rotr(NP t) {
auto *x = t->p, *y = x->p;
if ((x->l = t->r)) t->r->p = x;
t->r = x, x->p = t;
update(x), update(t);
if ((t->p = y)) {
if (y->l == x) y->l = t;
if (y->r == x) y->r = t;
update(y);
}
}
void rotl(NP t) {
auto *x = t->p, *y = x->p;
if ((x->r = t->l)) t->l->p = x;
t->l = x, x->p = t;
update(x), update(t);
if ((t->p = y)) {
if (y->l == x) y->l = t;
if (y->r == x) y->r = t;
update(y);
}
}
NP build(int l, int r, const vector<NP> &v) {
if (l + 1 >= r) return v[l];
return merge(build(l, (l + r) >> 1, v), build((l + r) >> 1, r, v));
}
protected:
NP build_node(const vector<NP> &v) { return build(0, v.size(), v); }
NP insert_node(NP t, int k, NP v) {
splay(t);
auto x = split(t, k);
return merge(x.first, v, x.second);
}
NP erase_node(NP t, int k) {
splay(t);
auto x = split(t, k);
auto y = split(x.second, 1);
delete y.first;
return merge(x.first, y.second);
}
};
#line 1 "structure/develop/reversible-splay-tree.hpp"
/**
* @brief Reversible-Splay-Tree(反転可能Splay木)
*/
template <typename Tp>
struct ReversibleSplayTreeNode {
using T = Tp;
ReversibleSplayTreeNode *l, *r, *p;
T key, sum;
bool rev;
size_t sz;
ReversibleSplayTreeNode() : ReversibleSplayTreeNode(Tp()) {}
ReversibleSplayTreeNode(const T &key)
: key(key),
sum(key),
rev(false),
l(nullptr),
r(nullptr),
p(nullptr),
sz(1) {}
};
template <typename Np>
struct ReversibleSplayTree : SplayTreeBase<Np> {
public:
using Node = Np;
using T = typename Node::T;
using F = function<T(T, T)>;
using S = function<T(T)>;
using super = SplayTreeBase<Node>;
using NP = typename super::NP;
explicit ReversibleSplayTree(const F &f, const S &s, const T &M1)
: f(f), s(s), M1(M1) {}
using super::build_node;
using super::count;
using super::insert_node;
using super::merge;
using super::splay;
using super::split;
inline const T &sum(const NP t) { return t ? t->sum : M1; }
NP alloc(const T &x) { return new Node(x); }
T query(NP &t, int a, int b) {
splay(t);
auto x = split(t, a);
auto y = split(x.second, b - a);
auto ret = sum(y.first);
t = merge(x.first, y.first, y.second);
return ret;
}
NP build(const vector<T> &v) {
vector<NP> vs(v.size());
for (int i = 0; i < v.size(); i++) vs[i] = alloc(v[i]);
return build_node(vs);
}
void toggle(NP t) {
swap(t->l, t->r);
t->sum = s(t->sum);
t->rev ^= true;
}
NP update(NP t) override {
t->sz = 1;
t->sum = t->key;
if (t->l) t->sz += t->l->sz, t->sum = f(t->l->sum, t->sum);
if (t->r) t->sz += t->r->sz, t->sum = f(t->sum, t->r->sum);
return t;
}
void push(NP t) override {
if (t->rev) {
if (t->l) toggle(t->l);
if (t->r) toggle(t->r);
t->rev = false;
}
}
NP insert(NP t, int k, const T &x) { return insert_node(t, k, alloc(x)); }
NP set_element(NP t, int k, const T &x) {
splay(t);
return imp_set_element(t, k, x);
}
pair<NP, NP> split_lower_bound(NP t, const T &key) {
if (!t) return {nullptr, nullptr};
push(t);
if (key <= t->key) {
auto x = split_lower_bound(t->l, key);
t->l = x.second;
t->p = nullptr;
if (x.second) x.second->p = t;
return {x.first, update(t)};
} else {
auto x = split_lower_bound(t->r, key);
t->r = x.first;
t->p = nullptr;
if (x.first) x.first->p = t;
return {update(t), x.second};
}
}
private:
const T M1;
const F f;
const S s;
NP imp_set_element(NP t, int k, const T &x) {
push(t);
if (k < count(t->l)) {
return imp_set_element(t->l, k, x);
} else if (k == count(t->l)) {
t->key = x;
splay(t);
return t;
} else {
return imp_set_element(t->r, k - count(t->l) - 1, x);
}
}
};
template <typename T>
using RST = ReversibleSplayTree<ReversibleSplayTreeNode<T> >;
#line 7 "test/verify/yosupo-point-set-range-composite-3.test.cpp"
#line 2 "math/combinatorics/montgomery-mod-int.hpp"
template <uint32_t mod_, bool fast = false>
struct MontgomeryModInt {
private:
using mint = MontgomeryModInt;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
static constexpr u32 get_r() {
u32 ret = mod_;
for (i32 i = 0; i < 4; i++) ret *= 2 - mod_ * ret;
return ret;
}
static constexpr u32 r = get_r();
static constexpr u32 n2 = -u64(mod_) % mod_;
static_assert(r * mod_ == 1, "invalid, r * mod != 1");
static_assert(mod_ < (1 << 30), "invalid, mod >= 2 ^ 30");
static_assert((mod_ & 1) == 1, "invalid, mod % 2 == 0");
u32 x;
public:
MontgomeryModInt() : x{} {}
MontgomeryModInt(const i64 &a)
: x(reduce(u64(fast ? a : (a % mod() + mod())) * n2)) {}
static constexpr u32 reduce(const u64 &b) {
return u32(b >> 32) + mod() - u32((u64(u32(b) * r) * mod()) >> 32);
}
mint &operator+=(const mint &p) {
if (i32(x += p.x - 2 * mod()) < 0) x += 2 * mod();
return *this;
}
mint &operator-=(const mint &p) {
if (i32(x -= p.x) < 0) x += 2 * mod();
return *this;
}
mint &operator*=(const mint &p) {
x = reduce(u64(x) * p.x);
return *this;
}
mint &operator/=(const mint &p) {
*this *= p.inv();
return *this;
}
mint operator-() const { return mint() - *this; }
mint operator+(const mint &p) const { return mint(*this) += p; }
mint operator-(const mint &p) const { return mint(*this) -= p; }
mint operator*(const mint &p) const { return mint(*this) *= p; }
mint operator/(const mint &p) const { return mint(*this) /= p; }
bool operator==(const mint &p) const {
return (x >= mod() ? x - mod() : x) == (p.x >= mod() ? p.x - mod() : p.x);
}
bool operator!=(const mint &p) const {
return (x >= mod() ? x - mod() : x) != (p.x >= mod() ? p.x - mod() : p.x);
}
u32 val() const {
u32 ret = reduce(x);
return ret >= mod() ? ret - mod() : ret;
}
mint pow(u64 n) const {
mint ret(1), mul(*this);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
mint inv() const { return pow(mod() - 2); }
friend ostream &operator<<(ostream &os, const mint &p) {
return os << p.val();
}
friend istream &operator>>(istream &is, mint &a) {
i64 t;
is >> t;
a = mint(t);
return is;
}
static constexpr u32 mod() { return mod_; }
};
template <uint32_t mod>
using modint = MontgomeryModInt<mod>;
using modint998244353 = modint<998244353>;
using modint1000000007 = modint<1000000007>;
#line 9 "test/verify/yosupo-point-set-range-composite-3.test.cpp"
using mint = modint998244353;
int main() {
int N, Q;
cin >> N >> Q;
using pi = pair< mint, mint >;
auto f = [](const pi &a, const pi &b) -> pi {
return {a.first * b.first, a.second * b.first + b.second};
};
auto s = [](const pi &a) { return a; };
RST< pi > seg(f, s, pi(1, 0));
vector< pi > V(N);
for(int i = 0; i < N; i++) {
cin >> V[i].first >> V[i].second;
}
auto root = seg.build(V);
for(int i = 0; i < Q; i++) {
int t;
cin >> t;
if(t == 0) {
int p;
mint a, b;
cin >> p >> a >> b;
root = seg.set_element(root, p, pi(a, b));
} else {
int l, r;
mint x;
cin >> l >> r >> x;
auto ret = seg.query(root, l, r);
cout << ret.first * x + ret.second << "\n";
}
}
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++ | example_00 | AC | 7 ms | 4 MB |
g++ | max_random_00 | AC | 2361 ms | 42 MB |
g++ | max_random_01 | AC | 2364 ms | 42 MB |
g++ | max_random_02 | AC | 2198 ms | 42 MB |
g++ | max_random_03 | AC | 2139 ms | 42 MB |
g++ | max_random_04 | AC | 2339 ms | 42 MB |
g++ | random_00 | AC | 1822 ms | 34 MB |
g++ | random_01 | AC | 1929 ms | 39 MB |
g++ | random_02 | AC | 1018 ms | 7 MB |
g++ | random_03 | AC | 216 ms | 37 MB |
g++ | random_04 | AC | 420 ms | 25 MB |
g++ | small_00 | AC | 7 ms | 4 MB |
g++ | small_01 | AC | 7 ms | 4 MB |
g++ | small_02 | AC | 7 ms | 4 MB |
g++ | small_03 | AC | 7 ms | 4 MB |
g++ | small_04 | AC | 7 ms | 4 MB |
clang++ | example_00 | AC | 7 ms | 4 MB |
clang++ | max_random_00 | AC | 1694 ms | 42 MB |
clang++ | max_random_01 | AC | 1711 ms | 42 MB |
clang++ | max_random_02 | AC | 1708 ms | 42 MB |
clang++ | max_random_03 | AC | 1679 ms | 42 MB |
clang++ | max_random_04 | AC | 1710 ms | 42 MB |
clang++ | random_00 | AC | 1378 ms | 34 MB |
clang++ | random_01 | AC | 1390 ms | 39 MB |
clang++ | random_02 | AC | 806 ms | 7 MB |
clang++ | random_03 | AC | 190 ms | 37 MB |
clang++ | random_04 | AC | 355 ms | 25 MB |
clang++ | small_00 | AC | 7 ms | 4 MB |
clang++ | small_01 | AC | 7 ms | 4 MB |
clang++ | small_02 | AC | 7 ms | 4 MB |
clang++ | small_03 | AC | 7 ms | 4 MB |
clang++ | small_04 | AC | 7 ms | 4 MB |