cp-library-cpp
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test/src/datastructure/deque_aggregation/queue_operate_all_composite.test.cpp
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- Last update: 2022-07-12 14:26:27+09:00
- Problem: https://judge.yosupo.jp/problem/queue_operate_all_composite
Depends on
Code
#define PROBLEM "https://judge.yosupo.jp/problem/queue_operate_all_composite"
#include <iostream>
#include <atcoder/modint>
using mint = atcoder::modint998244353;
std::istream& operator>>(std::istream& in, mint &a) {
long long e; in >> e; a = e;
return in;
}
std::ostream& operator<<(std::ostream& out, const mint &a) {
out << a.val();
return out;
}
#include "library/datastructure/deque_aggregation.hpp"
std::pair<mint, mint> op(std::pair<mint, mint> g, std::pair<mint, mint> f) {
return { f.first * g.first, f.first * g.second + f.second };
}
std::pair<mint, mint> e() {
return { 1, 0 };
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
suisen::DequeAggregation<std::pair<mint, mint>, op, e> dq;
int q;
std::cin >> q;
while (q --> 0) {
int query_type;
std::cin >> query_type;
if (query_type == 0) {
mint a, b;
std::cin >> a >> b;
dq.push_back({ a, b });
} else if (query_type == 1) {
dq.pop_front();
} else {
mint x;
std::cin >> x;
auto [a, b] = dq.prod();
std::cout << a * x + b << '\n';
}
}
return 0;
}#line 1 "test/src/datastructure/deque_aggregation/queue_operate_all_composite.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/queue_operate_all_composite"
#include <iostream>
#include <atcoder/modint>
using mint = atcoder::modint998244353;
std::istream& operator>>(std::istream& in, mint &a) {
long long e; in >> e; a = e;
return in;
}
std::ostream& operator<<(std::ostream& out, const mint &a) {
out << a.val();
return out;
}
#line 1 "library/datastructure/deque_aggregation.hpp"
#include <cassert>
#include <vector>
/**
* [Idea] reference : https://motsu-xe.hatenablog.com/entry/2021/05/13/224016
*
* SWAG + simulate a deque with 2 stacks
*
* [Operations] reference : https://www.slideshare.net/catupper/amortize-analysis-of-deque-with-2-stack
*
* `l`, `r` is a stack of { value, sum }
*
* accumulate
* <---------- ------> fold values from inside
* ( l ][ r )
*
* pop_front:
* 1. `l` is not empty
* ( l ][ r ) -> ( l ][ r ) # pop from `l`. O(1)
* 2. `l` is empty
* (][ r ) -> ( l ][ r ) # split `r` at its middle point. amortized O(1)
* ( l ][ r ) -> ( l ][ r ) # pop from `l`. O(1)
*
* pop_back:
* 1. `r` is not empty
* ( l ][ r ) -> ( l ][ r ) # pop from `r`. O(1)
* 2. `r` is empty
* ( l ][) -> ( l ][ r ) # split `l` at its middle point. amortized O(1)
* ( l ][ r ) -> ( l ][ r ) # pop from `r`. O(1)
*
* push_front:
* ( l ][ r ) -> ( l ][ r ) # push to `l`. O(1)
*
* push_back:
* ( l ][ r ) -> ( l ][ r ) # push to `r`. O(1)
*/
namespace suisen {
template <typename T, T(*op)(T, T), T(*e)()>
struct DequeAggregation {
struct DequeAggregationIterator {
using difference_type = int;
using value_type = T;
using pointer = value_type*;
using reference = value_type&;
using iterator_category = std::random_access_iterator_tag;
using fi_iterator_type = typename std::vector<std::pair<value_type, value_type>>::const_reverse_iterator;
using se_iterator_type = typename std::vector<std::pair<value_type, value_type>>::const_iterator;
fi_iterator_type it_l;
fi_iterator_type it_l_end;
se_iterator_type it_r_begin;
se_iterator_type it_r;
DequeAggregationIterator& operator++() {
if (it_l == it_l_end) ++it_r;
else ++it_l;
return *this;
}
DequeAggregationIterator operator++(int) { DequeAggregationIterator ret = *this; ++(*this); return ret; }
DequeAggregationIterator& operator--() {
if (it_r == it_r_begin) --it_l;
else --it_r;
return *this;
}
DequeAggregationIterator operator--(int) { DequeAggregationIterator ret = *this; --(*this); return ret; }
DequeAggregationIterator& operator+=(difference_type dif) {
if (dif < 0) return *this -= -dif;
if (int d = it_l_end - it_l; d < dif) it_l = it_l_end, it_r += dif - d;
else it_l += dif;
return *this;
}
friend DequeAggregationIterator operator+(DequeAggregationIterator it, difference_type dif) { it += dif; return it; }
friend DequeAggregationIterator operator+(difference_type dif, DequeAggregationIterator it) { it += dif; return it; }
DequeAggregationIterator& operator-=(difference_type dif) {
if (dif < 0) return *this += -dif;
if (int d = it_r - it_r_begin; d < dif) it_r = it_r_begin, it_l -= dif - d;
else it_r -= dif;
return *this;
}
friend DequeAggregationIterator operator-(DequeAggregationIterator it, difference_type dif) { it -= dif; return it; }
difference_type operator-(const DequeAggregationIterator &rhs) const {
difference_type d1 = it_l == it_l_end ? it_r - it_r_begin : it_l - it_l_end;
difference_type d2 = rhs.it_l == rhs.it_l_end ? rhs.it_r - rhs.it_r_begin : rhs.it_l - rhs.it_l_end;
return d1 - d2;
}
const value_type& operator[](difference_type i) const { return *((*this) + i); }
const value_type& operator*() const { return it_l == it_l_end ? it_r->first : it_l->first; }
bool operator!=(const DequeAggregationIterator &rhs) const { return it_l != rhs.it_l or it_r != rhs.it_r; }
bool operator==(const DequeAggregationIterator &rhs) const { return not (*this != rhs); }
bool operator< (const DequeAggregationIterator &rhs) const { return (*this) - rhs < 0; }
bool operator<=(const DequeAggregationIterator &rhs) const { return (*this) - rhs <= 0; }
bool operator> (const DequeAggregationIterator &rhs) const { return (*this) - rhs > 0; }
bool operator>=(const DequeAggregationIterator &rhs) const { return (*this) - rhs >= 0; }
};
using iterator = DequeAggregationIterator;
using difference_type = typename iterator::difference_type;
using value_type = typename iterator::value_type;
using pointer = typename iterator::pointer;
using reference = typename iterator::reference;
DequeAggregation() = default;
template <typename InputIterator, std::enable_if_t<std::is_constructible_v<value_type, typename InputIterator::value_type>, std::nullptr_t> = nullptr>
DequeAggregation(InputIterator first, InputIterator last) {
for (; first != last; ++first) push_back(*first);
}
template <typename Container, std::enable_if_t<std::is_constructible_v<value_type, typename Container::value_type>, std::nullptr_t> = nullptr>
DequeAggregation(const Container &c) : DequeAggregation(std::begin(c), std::end(c)) {}
value_type prod() const {
return op(prod(_st_l), prod(_st_r));
}
void push_back(const value_type &val) { _st_r.emplace_back(val, op(prod(_st_r), val)); }
void push_front(const value_type &val) { _st_l.emplace_back(val, op(val, prod(_st_l))); }
void pop_back() {
if (_st_r.size()) return _st_r.pop_back();
const int siz = _st_l.size();
const int l = siz >> 1, r = siz - l;
assert(r); // <=> siz > 0
for (int i = r - 1; i > 0; --i) push_back(std::move(_st_l[i].first));
_st_l.erase(_st_l.begin(), _st_l.begin() + r);
if (l == 0) return;
_st_l[0].second = _st_l[0].first;
for (int i = 1; i < l; ++i) _st_l[i].second = op(_st_l[i].first, _st_l[i - 1].second);
}
void pop_front() {
if (_st_l.size()) return _st_l.pop_back();
const int siz = _st_r.size();
const int r = siz >> 1, l = siz - r;
assert(l); // <=> siz > 0
for (int i = l - 1; i > 0; --i) push_front(std::move(_st_r[i].first));
_st_r.erase(_st_r.begin(), _st_r.begin() + l);
if (r == 0) return;
_st_r[0].second = _st_r[0].first;
for (int i = 1; i < r; ++i) _st_r[i].second = op(_st_r[i - 1].second, _st_r[i].first);
}
const value_type& front() const { return _st_l.size() ? _st_l.back().first : _st_r.front().first; }
const value_type& back() const { return _st_r.size() ? _st_r.back().first : _st_l.front().first; }
const value_type& operator[](int i) const {
const int k = i - _st_l.size();
return k < 0 ? _st_l[~k].first : _st_r[k].first;
}
int size() const { return _st_l.size() + _st_r.size(); }
void clear() { _st_l.clear(), _st_r.clear(); }
void shrink_to_fit() { _st_l.shrink_to_fit(), _st_r.shrink_to_fit(); }
iterator begin() const { return iterator { _st_l.rbegin(), _st_l.rend(), _st_r.begin(), _st_r.begin() }; }
iterator end() const { return iterator { _st_l.rend(), _st_l.rend(), _st_r.begin(), _st_r.end() }; }
iterator cbegin() const { return begin(); }
iterator cend() const { return end(); }
private:
std::vector<std::pair<value_type, value_type>> _st_l, _st_r;
value_type prod(const std::vector<std::pair<value_type, value_type>> &st) const {
return st.empty() ? e() : st.back().second;
}
};
} // namespace suisen
#line 19 "test/src/datastructure/deque_aggregation/queue_operate_all_composite.test.cpp"
std::pair<mint, mint> op(std::pair<mint, mint> g, std::pair<mint, mint> f) {
return { f.first * g.first, f.first * g.second + f.second };
}
std::pair<mint, mint> e() {
return { 1, 0 };
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
suisen::DequeAggregation<std::pair<mint, mint>, op, e> dq;
int q;
std::cin >> q;
while (q --> 0) {
int query_type;
std::cin >> query_type;
if (query_type == 0) {
mint a, b;
std::cin >> a >> b;
dq.push_back({ a, b });
} else if (query_type == 1) {
dq.pop_front();
} else {
mint x;
std::cin >> x;
auto [a, b] = dq.prod();
std::cout << a * x + b << '\n';
}
}
return 0;
}