#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 using namespace std; #define REP(i, n) for (int (i) = 0; (i) < (n); (i)++) #define FOR(i, a, b) for (int (i) = (a); (i) < (b); (i)++) #define RREP(i, a) for(int (i) = (a) - 1; (i) >= 0; (i)--) #define FORR(i, a, b) for(int (i) = (a) - 1; (i) >= (b); (i)--) #define DEBUG(C) cerr << #C << " = " << C << endl; using LL = long long; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using VD = vector; using VVD = vector; using PII = pair; using PDD = pair; using PLL = pair; using VPII = vector; template using VT = vector; #define ALL(a) begin((a)), end((a)) #define RALL(a) rbegin((a)), rend((a)) #define SORT(a) sort(ALL((a))) #define RSORT(a) sort(RALL((a))) #define REVERSE(a) reverse(ALL((a))) #define MP make_pair #define FORE(a, b) for (auto &&a : (b)) #define FIND(s, e) ((s).find(e) != (s).end()) #define EB emplace_back template inline bool chmax(T &a, T b){if (a < b){a = b;return true;}return false;} template inline bool chmin(T &a, T b){if (a > b){a = b;return true;}return false;} const int INF = 1e9; const int MOD = INF + 7; const LL LLINF = 1e18; const long double EPS = 1e-15; chrono::system_clock::time_point start; const long long LIMIT = 2000; LL getLimitmsec() { auto now = chrono::system_clock::now(); auto pass = now - start; return LIMIT - chrono::duration_cast(pass).count(); } const long double PI = acos(-1); long double x; int main() { start = chrono::system_clock::now(); cin >> x; long double ans1 = 0, ans2 = 0; long long n; for (n = 1; getLimitmsec() > 100; n++) { const long double buf = (x + n); if (1. / (buf * buf) < EPS) break; ans1 += 1. / (buf * buf); ans2 += 1. / (n * n); } cout << fixed << setprecision(15) << PI * PI / 6 - ans1 + ans2 << endl; }