#include #include using ll = long long; #define rep(i, n) for (int i = 0, i##_len = (n); i < i##_len; ++i) #define reps(i, n) for (int i = 1, i##_len = (n); i <= i##_len; ++i) #define rrep(i, n) for (int i = ((int)(n)-1); i >= 0; --i) #define rreps(i, n) for (int i = ((int)(n)); i > 0; --i) #define rep2(i, s, n) for (int i = (s); i < (int)(n); ++i) #define repc2(i, s, n) for (int i = (s); i <= (int)(n); ++i) constexpr int inf = 2000'000'000; constexpr ll linf = 4000000000000000000ll; constexpr ll M7 = 1000000007ll; constexpr ll M09 = 1000000009ll; constexpr ll M9 = 998244353ll; #define all(v) begin(v), end(v) #define rall(v) rbegin(v), rend(v) using namespace std; using namespace atcoder; template inline ostream& operator<<(ostream& os, vector& v) { for (auto& e : v) os << e << " "; return os; } template std::ostream& operator<<(std::ostream& os, const std::pair& p) noexcept { return os << "(" << p.first << ", " << p.second << ")"; } #ifdef ONLINE_JUDGE #define debug(...) #else #define debug(...) cerr << "<" << #__VA_ARGS__ << ">: ", debug_out(__VA_ARGS__) template void debug_out(T t) { cerr << t << endl; } template void debug_out(T t, Args... args) { cerr << t << ", "; debug_out(args...); } #endif int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int r, k; cin >> r >> k; auto f = [&](double t) { return (t - sin(t)) / 2; }; vector v; if (k % 2 == 0) { reps(i, k / 2) { auto cmp = [&](double t) { return f(t) < i * M_PI / (k + 1); }; auto bsearch = [&]() { double ok = 0, ng = M_PI; rep(_, 100) { double mid = (ng + ok) / 2; if (cmp(mid)) ok = mid; else ng = mid; } return ok; }; double t = bsearch(); v.push_back(cos(t / 2) * r); v.push_back(-cos(t / 2) * r); } } else { v.push_back(0); reps(i, k / 2) { auto cmp = [&](double t) { return f(t) < i * M_PI / (k + 1); }; auto bsearch = [&]() { double ok = 0, ng = M_PI; rep(_, 100) { double mid = (ng + ok) / 2; if (cmp(mid)) ok = mid; else ng = mid; } return ok; }; double t = bsearch(); v.push_back(cos(t / 2) * r); v.push_back(-cos(t / 2) * r); } } sort(all(v)); cout << fixed << setprecision(10); for (double x : v) { cout << x << "\n"; } return 0; }