#pragma region Macros #include #include #if defined(LOCAL) || defined(_DEBUG) #include "debug.hpp" #else #define O(...) #define START() #define STOP() #define MEMORY() #endif using namespace std; #define REP(i, n) for(int i=0, i##_len=(n); i=0; --i) #define FOR(i, n, m) for(int i=(m), i##_len=(n); ibool chmax(T &a, const U &b) { if (a<(T)b) { a=(T)b; return 1; } return 0; } templatebool chmin(T &a, const U &b) { if (b<(T)a) { a=(T)b; return 1; } return 0; } #define vec vector #define umap unordered_map #define uset unordered_set using ll = long long; using ld = long double; using P = pair; using Tup = tuple; using vl = vec; #define fi first #define se second #define el endl constexpr ll INF = numeric_limits::max()/2-1; template istream &operator>>(istream &stream, vec& o){REP(i, o.size())stream >> o[i];return stream;} template istream &operator>>(istream &stream, pair& o){cin >> o.fi >> o.se; return stream;} namespace myinput { void input() {} template void input(T&& o, Ts&&... args){cin >> o;input(forward(args)...);} void assign_vl(size_t siz) {}; template void assign_vl(size_t siz, T&& o, Ts&&... args){o.resize(siz);assign_vl(siz, forward(args)...);} void input_horizon_sub(size_t index) {}; template void input_horizon_sub(size_t index, T&& o, Ts&&... args) {cin>>o[index];input_horizon_sub(index, forward(args)...);} template void input_horizon(size_t siz, Ts&&... args){REP(i, siz) input_horizon_sub(i, forward(args)...);} } #define _I(T, ...) ;myinput::input(__VA_ARGS__); #define I(T, ...) ;T __VA_ARGS__;_I(T, __VA_ARGS__); #define _Iv(T, siz, ...) ;myinput::assign_vl(siz, __VA_ARGS__);myinput::input(__VA_ARGS__); #define Iv(T, siz, ...) ;vec __VA_ARGS__;_Iv(T, siz, __VA_ARGS__); #define _Ih(T, siz, ...) ;myinput::assign_vl(siz, __VA_ARGS__);myinput::input_horizon(siz, __VA_ARGS__); #define Ih(T, siz, ...) ;vec __VA_ARGS__;_Ih(T, siz, __VA_ARGS__); #pragma endregion void Main(); int main(){ std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(15); Main(); MEMORY(); return 0; } // x∈[l, r] | f(x) = true となる最大のxを返す template ll binarySearch(ll l, ll r, const Func &f){ r++; while(l < r + 1){ const ll m = (l<0)==(r<0) ? l+(r-l)/2 : (l<-r) ? -((-l-r-1)/2+1) : (l+r)/2; if(f(m)) l = m+1; else r = m-1; } return r; } template U __typechange(T n) { if(n >= 0) return *(U*)(&n); n = -n; return -*(U*)(&n); } template double binarySearchd(double l, double r, const Func &f) { return __typechange( binarySearch(__typechange(l), __typechange(r), [&](ll mi) { return f(__typechange(mi)); } ) ); } void Main(){ /* REP(i, 20) { ll r = 1; double h = r-(i/10.0-1.0)/100.0; double theta = 2*acos(1-h/r); double s = theta*r*r/2 - (r-h) * sqrt(h*(2*r-h)); O(s); }*/ I(ll, r, k); double piece = M_PI*r*r / (k+1); O(piece); REP(i, k) { double ret = binarySearchd(-r, r, [&](double d) { double h = r-d; double theta = 2*acos(1-h/r); double s = theta*r*r/2 - (r-h) * sqrt(h*(2*r-h)); return s > piece*(k-i); }); cout << ret << el; } }