Cod sursa(job #2624997)

Utilizator AlexnolifeAlexandru Ica Alexnolife Data 5 iunie 2020 17:37:33
Problema Patrate 3 Scor 0
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.76 kb
#include <algorithm>
#include <cstddef>
#include <fstream>
#include <iterator>
#include <utility>
#include <vector>

using coord_t = std::pair<int, int>;
constexpr int digits = 10'000;

auto to_int(double const num) -> int
{
    return static_cast<int>(num * digits);
}

auto operator/(coord_t const& a, int const b) -> coord_t
{
    return { a.first / b, a.second / b };
}

auto operator+(coord_t const& a, coord_t const& b) -> coord_t
{
    return { a.first + b.first, 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(to_int(x), to_int(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.first - points[i].first,
                                    mid.second - points[i].second };
            coord_t const point1{ mid.first + distance.second,
                                  mid.second - distance.first };
            coord_t const point2{ mid.first - distance.second,
                                  mid.second + distance.first };

            auto from = points.begin();
            std::advance(from, i + 1);
            auto to = points.end();

            if(std::binary_search(from, to, point1) &&
               std::binary_search(from, to, point2)) {
                ++count;
            }
        }
    }

    g << count << std::endl;
}