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#pragma once
#include <vector>
#include <iterator>
#include <algorithm>
#include <cassert>
template <class T> class step_iterator {
public:
using value_type = T;
using difference_type = T;
using iterator_category = std::random_access_iterator_tag;
using reference = T&;
using pointer = T*;
private:
value_type start_m, size_m, step_m, index_m;
public:
constexpr step_iterator()
: start_m(value_type()), size_m(value_type()), step_m(value_type()), index_m(0) {}
constexpr step_iterator(value_type _start, value_type _size, value_type _step)
: start_m(_start), size_m(_size), step_m(_step), index_m(0) {}
value_type operator*() const noexcept {
return value();
}
step_iterator& operator++() noexcept {
++index_m;
return *this;
}
step_iterator& operator++(int) noexcept {
auto tmp = *this;
++*this;
return tmp;
}
step_iterator& operator--() noexcept {
--index_m;
return *this;
}
step_iterator& operator--(int) noexcept {
auto tmp = *this;
--*this;
return tmp;
}
step_iterator& operator+=(difference_type n) {
index_m += n;
return *this;
}
step_iterator operator+(difference_type n) const {
return step_iterator(*this) += n;
}
friend step_iterator operator+(difference_type n, step_iterator i) {
return i + n;
}
step_iterator& operator-=(difference_type n) {
index_m -= n;
return *this;
}
step_iterator operator-(difference_type n) const {
return step_iterator(*this) -= n;
}
friend step_iterator operator-(difference_type n, step_iterator i) {
return i - n;
}
difference_type operator-(const step_iterator& other) const {
assert(start_m == other.start_m);
assert(size_m == other.size_m);
assert(step_m == other.step_m);
return index_m - other.index_m;
}
bool operator==(const step_iterator& other) const noexcept {
return value() == other.value();
}
bool operator!=(const step_iterator& other) const noexcept {
return value() != other.value();
}
bool operator<(const step_iterator& other) const noexcept {
return value() < other.value();
}
bool operator<=(const step_iterator& other) const noexcept {
return value() <= other.value();
}
bool operator>(const step_iterator& other) const noexcept {
return value() > other.value();
}
bool operator>=(const step_iterator& other) const noexcept {
return value() >= other.value();
}
constexpr value_type value() const noexcept {
return start_m + step_m * index_m;
}
};
template <class T> class Step {
public:
using value_type = T;
using iterator = step_iterator<value_type>;
private:
value_type start_m, size_m, step_m;
public:
constexpr Step(value_type _start, value_type _size, value_type _step)
: start_m(_start), size_m(std::max<value_type>(0, _size)), step_m(_step) {}
constexpr iterator begin() const {
return iterator(start_m, size_m, step_m);
}
constexpr iterator end() const {
return iterator(start_m, size_m, step_m) + size_m;
}
constexpr value_type start() const {
return start_m;
}
constexpr value_type size() const {
return size_m;
}
constexpr value_type step() const {
return step_m;
}
constexpr value_type sum() const {
return start() * size() + step() * (size() * (size() - 1) / 2);
}
operator std::vector<value_type>() const {
return to_a();
}
auto to_a() const {
std::vector<value_type> result;
result.reserve(size());
for (auto i : *this) {
result.push_back(i);
}
return result;
}
};
template <class T> constexpr auto upto(T from, T to, bool exclusive = true) {
return Step<T>(from, to - from + exclusive, 1);
}
template <class T> constexpr auto downto(T from, T to, bool exclusive = true) {
return Step<T>(from, from - to + exclusive, -1);
}
template <class T> constexpr auto times(T n, bool exclusive = false) {
return Step<T>(0, n + static_cast<T>(exclusive), 1);
}
#line 2 "Utility/Step.cpp"
#include <vector>
#include <iterator>
#include <algorithm>
#include <cassert>
template <class T> class step_iterator {
public:
using value_type = T;
using difference_type = T;
using iterator_category = std::random_access_iterator_tag;
using reference = T&;
using pointer = T*;
private:
value_type start_m, size_m, step_m, index_m;
public:
constexpr step_iterator()
: start_m(value_type()), size_m(value_type()), step_m(value_type()), index_m(0) {}
constexpr step_iterator(value_type _start, value_type _size, value_type _step)
: start_m(_start), size_m(_size), step_m(_step), index_m(0) {}
value_type operator*() const noexcept {
return value();
}
step_iterator& operator++() noexcept {
++index_m;
return *this;
}
step_iterator& operator++(int) noexcept {
auto tmp = *this;
++*this;
return tmp;
}
step_iterator& operator--() noexcept {
--index_m;
return *this;
}
step_iterator& operator--(int) noexcept {
auto tmp = *this;
--*this;
return tmp;
}
step_iterator& operator+=(difference_type n) {
index_m += n;
return *this;
}
step_iterator operator+(difference_type n) const {
return step_iterator(*this) += n;
}
friend step_iterator operator+(difference_type n, step_iterator i) {
return i + n;
}
step_iterator& operator-=(difference_type n) {
index_m -= n;
return *this;
}
step_iterator operator-(difference_type n) const {
return step_iterator(*this) -= n;
}
friend step_iterator operator-(difference_type n, step_iterator i) {
return i - n;
}
difference_type operator-(const step_iterator& other) const {
assert(start_m == other.start_m);
assert(size_m == other.size_m);
assert(step_m == other.step_m);
return index_m - other.index_m;
}
bool operator==(const step_iterator& other) const noexcept {
return value() == other.value();
}
bool operator!=(const step_iterator& other) const noexcept {
return value() != other.value();
}
bool operator<(const step_iterator& other) const noexcept {
return value() < other.value();
}
bool operator<=(const step_iterator& other) const noexcept {
return value() <= other.value();
}
bool operator>(const step_iterator& other) const noexcept {
return value() > other.value();
}
bool operator>=(const step_iterator& other) const noexcept {
return value() >= other.value();
}
constexpr value_type value() const noexcept {
return start_m + step_m * index_m;
}
};
template <class T> class Step {
public:
using value_type = T;
using iterator = step_iterator<value_type>;
private:
value_type start_m, size_m, step_m;
public:
constexpr Step(value_type _start, value_type _size, value_type _step)
: start_m(_start), size_m(std::max<value_type>(0, _size)), step_m(_step) {}
constexpr iterator begin() const {
return iterator(start_m, size_m, step_m);
}
constexpr iterator end() const {
return iterator(start_m, size_m, step_m) + size_m;
}
constexpr value_type start() const {
return start_m;
}
constexpr value_type size() const {
return size_m;
}
constexpr value_type step() const {
return step_m;
}
constexpr value_type sum() const {
return start() * size() + step() * (size() * (size() - 1) / 2);
}
operator std::vector<value_type>() const {
return to_a();
}
auto to_a() const {
std::vector<value_type> result;
result.reserve(size());
for (auto i : *this) {
result.push_back(i);
}
return result;
}
};
template <class T> constexpr auto upto(T from, T to, bool exclusive = true) {
return Step<T>(from, to - from + exclusive, 1);
}
template <class T> constexpr auto downto(T from, T to, bool exclusive = true) {
return Step<T>(from, from - to + exclusive, -1);
}
template <class T> constexpr auto times(T n, bool exclusive = false) {
return Step<T>(0, n + static_cast<T>(exclusive), 1);
}