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#include <algorithm>
#include <cstddef>
#include <fstream>
#include <iterator>
#include <tuple>
#include <utility>
#include <vector>
constexpr auto eq(double const a, double const b) noexcept -> bool
{
constexpr double margin = 0.00001;
return std::abs(a - b) < margin;
}
struct coord_t
{
double x{ 0 };
double y{ 0 };
constexpr coord_t() noexcept = default;
constexpr coord_t(coord_t const&) noexcept = default;
constexpr coord_t(coord_t&&) noexcept = default;
~coord_t() noexcept = default;
constexpr coord_t(double const a, double const b) noexcept
: x{ a }
, y{ b }
{
}
auto operator=(coord_t const&) noexcept -> coord_t& = default;
auto operator=(coord_t&&) noexcept -> coord_t& = default;
};
constexpr auto operator==(coord_t const& a, coord_t const& b) noexcept -> bool
{
return eq(a.x, b.x) && eq(a.y, b.y);
}
constexpr auto operator<(coord_t const& a, coord_t const& b) noexcept -> bool
{
return std::tie(a.x, a.y) < std::tie(b.x, b.y);
}
auto operator/(coord_t const& a, int const b) noexcept -> coord_t
{
return { a.x / b, a.y / b };
}
auto operator+(coord_t const& a, coord_t const& b) noexcept -> coord_t
{
return { a.x + b.x, a.y + b.y };
}
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(x, 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;
coord_t const distance{ mid.x - points[i].x, mid.y - points[i].y };
coord_t const point1{ mid.x + distance.y, mid.y - distance.x };
coord_t const point2{ mid.x - distance.y, mid.y + distance.x };
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;
}