#ifndef HIDDEN_IN_VISUAL_STUDIO // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // 使えるライブラリの読み込み #include using namespace std; // 型名の短縮 using ll = long long; // -2^63 ~ 2^63 = 9 * 10^18(int は -2^31 ~ 2^31 = 2 * 10^9) using pii = pair; using pll = pair; using pil = pair; using pli = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; template using priority_queue_rev = priority_queue, greater>; using Graph = vvi; // 定数の定義 const double PI = 3.14159265359; const double DEG = PI / 180.; // θ [deg] = θ * DEG [rad] const vi dx4 = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) const vi dy4 = { 0, 1, 0, -1 }; const vi dx8 = { 1, 1, 0, -1, -1, -1, 0, 1 }; // 8 近傍 const vi dy8 = { 0, 1, 1, 1, 0, -1, -1, -1 }; const ll INFL = (ll)2e18; const int INF = (int)1e9; const double EPS = 1e-10; // 許容誤差に応じて調整 // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } fast_io_tmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define distance (int)distance #define Yes(b) {cout << ((b) ? "Yes" : "No") << endl;} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0; set < (1 << int(d)); ++set) // d ビット全探索(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define repit(it, a) for(auto it = (a).begin(); it != (a).end(); ++it) // イテレータを回す(昇順) #define repitr(it, a) for(auto it = (a).rbegin(); it != (a).rend(); ++it) // イテレータを回す(降順) // 汎用関数の定義 template inline ll pow(int n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline ll pow(ll n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) // 入出力用の >>, << のオーバーロード template inline istream& operator>> (istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline ostream& operator<< (ostream& os, const pair& p) { os << "(" << p.first << "," << p.second << ")"; return os; } template inline istream& operator>> (istream& is, tuple& t) { is >> get<0>(t) >> get<1>(t) >> get<2>(t); return is; } template inline ostream& operator<< (ostream& os, const tuple& t) { os << "(" << get<0>(t) << "," << get<1>(t) << "," << get<2>(t) << ")"; return os; } template inline istream& operator>> (istream& is, tuple& t) { is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t); return is; } template inline ostream& operator<< (ostream& os, const tuple& t) { os << "(" << get<0>(t) << "," << get<1>(t) << "," << get<2>(t) << "," << get<3>(t) << ")"; return os; } template inline istream& operator>> (istream& is, vector& v) { repea(x, v) is >> x; return is; } template inline ostream& operator<< (ostream& os, const vector& v) { repe(x, v) os << x << " "; return os; } template inline ostream& operator<< (ostream& os, const set& s) { repe(x, s) os << x << " "; return os; } template inline ostream& operator<< (ostream& os, const unordered_set& s) { repe(x, s) os << x << " "; return os; } template inline ostream& operator<< (ostream& os, const map& m) { repe(p, m) os << p << " "; return os; } template inline ostream& operator<< (ostream& os, const unordered_map& m) { repe(p, m) os << p << " "; return os; } template inline ostream& operator<< (ostream& os, stack s) { while (!s.empty()) { os << s.top() << " "; s.pop(); } return os; } template inline ostream& operator<< (ostream& os, queue q) { while (!q.empty()) { os << q.front() << " "; q.pop(); } return os; } template inline ostream& operator<< (ostream& os, deque q) { while (!q.empty()) { os << q.front() << " "; q.pop_front(); } return os; } template inline ostream& operator<< (ostream& os, priority_queue q) { while (!q.empty()) { os << q.top() << " "; q.pop(); } return os; } // 手元環境(Visual Studio) #ifdef _MSC_VER #define popcount (int)__popcnt // 全ビット中の 1 の個数 #define popcountll (int)__popcnt64 inline int lsb(unsigned int n) { unsigned long i; _BitScanForward(&i, n); return i; } // 最下位ビットの位置(0-indexed) inline int lsbll(unsigned long long n) { unsigned long i; _BitScanForward64(&i, n); return i; } inline int msb(unsigned int n) { unsigned long i; _BitScanReverse(&i, n); return i; } // 最上位ビットの位置(0-indexed) inline int msbll(unsigned long long n) { unsigned long i; _BitScanReverse64(&i, n); return i; } template T gcd(T a, T b) { return b ? gcd(b, a % b) : a; } #define dump(x) cout << "\033[1;36m" << (x) << "\033[0m" << endl; #define dumps(x) cout << "\033[1;36m" << (x) << "\033[0m "; #define dumpel(a) { int i = 0; cout << "\033[1;36m"; repe(x, a) {cout << i++ << ": " << x << endl;} cout << "\033[0m"; } #define input_from_file(f) ifstream isTMP(f); cin.rdbuf(isTMP.rdbuf()); #define output_to_file(f) ofstream osTMP(f); cout.rdbuf(osTMP.rdbuf()); // 提出用(gcc) #else #define popcount (int)__builtin_popcount #define popcountll (int)__builtin_popcountll #define lsb __builtin_ctz #define lsbll __builtin_ctzll #define msb(n) (31 - __builtin_clz(n)) #define msbll(n) (63 - __builtin_clzll(n)) #define gcd __gcd #define dump(x) #define dumps(x) #define dumpel(v) #define input_from_file(f) #define output_to_file(f) #endif #endif // 折りたたみ用 //-----------------AtCoder 専用----------------- #include using namespace atcoder; //using mint = modint1000000007; using mint = modint998244353; //using mint = modint; // mint::set_mod(m); template ostream& operator<<(ostream& os, segtree seg) { int n = seg.max_right(0, [](S x) {return true; }); rep(i, n) os << seg.get(i) << " "; return os; } template ostream& operator<<(ostream& os, lazy_segtree seg) { int n = seg.max_right(0, [](S x) {return true; }); rep(i, n) os << seg.get(i) << " "; return os; } istream& operator>> (istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } ostream& operator<< (ostream& os, const mint& x) { os << x.val(); return os; } using vm = vector; using vvm = vector; using vvvm = vector; //---------------------------------------------- int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); int k; cin >> k; double res = 0; repi(n, 1, 10000) { res += sin((double)k * n) / pow((double)n, n); } cout << res << endl; }