// #define MULTEST #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include namespace kod { namespace util { template class fixed_point : private F { constexpr fixed_point(F&& f) noexcept : F(std::forward(f)) {} template friend constexpr decltype(auto) make_fixed(G&&) noexcept; public: template constexpr decltype(auto) operator()(Args&&... args) const noexcept { return F::operator()(*this, std::forward(args)...); } }; template [[nodiscard]] constexpr decltype(auto) make_fixed(G&& g) noexcept { using F = std::decay_t; return fixed_point(std::forward(g)); } } // namespace util } // namespace kod namespace kod { namespace util { class forward_loop { int x, y; constexpr forward_loop(int x, int y) noexcept : x(x), y(y) {} friend constexpr forward_loop rep(int, int) noexcept; friend constexpr forward_loop rep(int) noexcept; public: constexpr forward_loop begin() const noexcept { return *this; } constexpr std::monostate end() const noexcept { return {}; } constexpr bool operator!=(std::monostate) const noexcept { return x < y; } constexpr void operator++() const noexcept {} constexpr int operator*() noexcept { return x++; } }; [[nodiscard]] constexpr forward_loop rep(int l, int r) noexcept { return forward_loop(l, r); } [[nodiscard]] constexpr forward_loop rep(int n) noexcept { return forward_loop(0, n); } class backward_loop { int x, y; constexpr backward_loop(int x, int y) noexcept : x(x), y(y) {} friend constexpr backward_loop revrep(int, int) noexcept; friend constexpr backward_loop revrep(int) noexcept; public: constexpr backward_loop begin() const noexcept { return *this; } constexpr std::monostate end() const noexcept { return {}; } constexpr bool operator!=(std::monostate) const noexcept { return x > y; } constexpr void operator++() const noexcept {} constexpr int operator*() noexcept { return --x; } }; [[nodiscard]] constexpr backward_loop revrep(int l, int r) noexcept { return backward_loop(r, l); } [[nodiscard]] constexpr backward_loop revrep(int n) noexcept { return backward_loop(n, 0); } template constexpr void repeat(int n, const F& f) noexcept { assert(n >= 0); while (n--) f(); } } // namespace util } // namespace kod namespace kod { namespace util { namespace stdio_impl { template T scan() { T x; std::cin >> x; return x; } struct scan_any { template operator T() const { return scan(); } }; } // namespace stdio_impl template decltype(auto) scan() { if constexpr (std::is_same_v) return stdio_impl::scan_any{}; else return stdio_impl::scan(); } template std::array scan_arr() { std::array a; for (auto& x : a) x = scan(); return a; } template std::vector scan_vec(int n) { if (n == -1) n = scan(); assert(n >= 0); std::vector v; v.reserve(n); while (n--) v.push_back(scan()); return v; } void flush() { std::cout << std::flush; } void print() {} template void print(const T& x, const Args&... args) { std::cout << x; if (sizeof...(args) != 0) std::cout << ' '; print(args...); } template void println(const Args&... args) { print(args...); std::cout << '\n'; } template void print_seq(const C& c, const char* sep = " ", const char* end = "\n") { bool f = false; for (const auto& x : c) { if (f) std::cout << sep; else f = true; std::cout << x; } std::cout << end; } } // namespace util } // namespace kod namespace kod { namespace sol { using ll = long long; using uint = unsigned; using ull = unsigned long long; using std::array; using std::pair; using std::string; using std::tuple; using std::vector; using namespace util; constexpr int inf = std::numeric_limits::max() / 2; constexpr ll infll = std::numeric_limits::max() / 2; constexpr ll floor_div(ll x, ll y) noexcept { assert(y != 0); return x / y - ((x ^ y) < 0 && x % y != 0); } constexpr ll ceil_div(ll x, ll y) noexcept { assert(y != 0); return x / y + ((x ^ y) >= 0 && x % y != 0); } template constexpr bool setmin(T& lhs, const T& rhs) noexcept { if (lhs > rhs) { lhs = rhs; return true; } return false; } template constexpr bool setmax(T& lhs, const T& rhs) noexcept { if (lhs < rhs) { lhs = rhs; return true; } return false; } void run(); } // namespace sol } // namespace kod int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(20); int cases = 1; #ifdef MULTEST std::cin >> cases; #endif while (cases--) kod::sol::run(); return 0; } #ifdef KOD_LOCAL #define OJ_LOCAL(a, b) b #include #else #define OJ_LOCAL(a, b) a #define DBG(...) #define SHOW(...) #endif namespace kod { namespace sol { void run() { const double r = scan(); const int k = scan(); const double pi = std::acos(-1.0); const auto area = [&](const double theta) { return r * r * theta - r * r * std::cos(theta) * std::sin(theta); }; const auto find = [&](const double s) { double ok = 0.5 * pi; double ng = 0.0; repeat(60, [&] { const double md = (ok + ng) / 2.0; (area(md) >= s ? ok : ng) = md; }); return ok; }; vector y; for (const int i : rep(k / 2)) { const auto s = pi * r * r * (i + 1) / (k + 1); y.push_back(r * std::cos(find(s))); } for (const auto& l : y) { println(-l); } if (k & 1) { println(0); } std::reverse(y.begin(), y.end()); for (const auto& l : y) { println(l); } } } // namespace sol } // namespace kod