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#include <algorithm>
#include <cstddef>
#include <fstream>
#include <iterator>
#include <tuple>
#include <utility>
#include <vector>
struct checked_double
{
static constexpr double margin = 0.00001;
double value{ 0 };
constexpr checked_double() noexcept = default;
constexpr checked_double(checked_double const&) noexcept = default;
constexpr checked_double(checked_double&&) noexcept = default;
~checked_double() noexcept = default;
constexpr auto operator=(checked_double const&) noexcept
-> checked_double& = default;
constexpr auto operator=(checked_double&&) noexcept
-> checked_double& = default;
constexpr auto operator=(double const val) -> checked_double&
{
value = val;
return *this;
}
constexpr auto operator()() const noexcept -> double
{
return value;
}
};
constexpr auto abs(checked_double const num) noexcept -> checked_double
{
return num() < 0 ? checked_double{ -num() } : num;
}
constexpr auto operator<(checked_double const a,
checked_double const b) noexcept -> bool
{
return a() + checked_double::margin < b();
}
constexpr auto operator==(checked_double const a,
checked_double const b) noexcept -> bool
{
return abs(checked_double{ a() - b() })() < checked_double::margin;
}
constexpr auto operator+(checked_double const a,
checked_double const b) noexcept -> checked_double
{
return { a() + b() };
}
constexpr auto operator-(checked_double const a,
checked_double const b) noexcept -> checked_double
{
return { a() - b() };
}
using coord_t = std::pair<checked_double, checked_double>;
constexpr auto operator==(coord_t const& a, coord_t const& b) noexcept -> bool
{
return (a.first == b.first) && (a.second == b.second);
}
auto operator/(coord_t const& a, int const b) noexcept -> coord_t
{
return { checked_double{ a.first() / b },
checked_double{ a.second() / b } };
}
auto operator+(coord_t const& a, coord_t const& b) noexcept -> coord_t
{
return { checked_double{ a.first() + b.first() },
checked_double{ a.second() + b.second() } };
}
auto main() noexcept -> int
{
std::ifstream f{ "patrate3.in" };
std::ofstream g{ "patrate3.out" };
std::vector<coord_t> points{};
std::size_t n{ 0 };
std::size_t count{ 0 };
f >> n;
points.reserve(n);
for(std::size_t i = 0; i < n; ++i) {
double x{ 0 };
double y{ 0 };
f >> x >> y;
points.emplace_back(checked_double{ x }, checked_double{ y });
}
std::sort(points.begin(), points.end());
for(std::size_t i = 0; i < n - 1; ++i) {
for(std::size_t j = i + 1; j < n; ++j) {
auto const mid = (points[i] + points[j]) / 2;
auto const distance = std::make_pair(mid.first - points[i].first,
mid.second - points[i].second);
auto const point1 = std::make_pair(mid.first + distance.second,
mid.second - distance.first);
auto const point2 = std::make_pair(mid.first - distance.second,
mid.second + distance.first);
auto from = points.begin();
std::advance(from, i);
auto to = points.end();
if(std::binary_search(from, to, point1) &&
std::binary_search(from, to, point2)) {
++count;
}
}
}
g << count << std::endl;
}