#pragma region Macros #include #if defined(LOCAL) || defined(ONLINE_JUDGE) || defined(_DEBUG) #include #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 T &b) { if (abool chmin(T &a, const T &b) { if (busing vec = vector; templateusing umap = unordered_map; templateusing uset = unordered_set; using ll = long long; using ld = long double; using P = pair; //using T = tuple; using vl = vec; #define fi first #define se second #define el endl constexpr ll INF = numeric_limits::max()/2-1; #pragma endregion #pragma region IOMacros template istream &operator>>(istream &stream, vec& o){REP(i, o.size())stream >> o[i];return stream;} template ostream &operator<<(ostream &stream, vec& objs){REP(i, objs.size())stream << objs[i] << " ";stream << el;return stream;} #define I(T, ...) ;T __VA_ARGS__;__i(__VA_ARGS__); void __i() {} template void __i(T&& o, Ts&&... args){cin >> o;__i(forward(args)...);} void O() {cout << el;} template void O(T&& o, Ts&&... args){cerr << o << " ";O(forward(args)...);} #pragma endregion void Main(); int main(){ std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(15); Main(); return 0; } void Main(){ I(ll, N); I(ld, p1); ld p = 1.0 - p1; vec V(N+1, 1.0); V[0] = V[1] = 0; ld sum = 0.0; FOR(i, N+1, 2){ sum += V[i]; for(int j = 2; i*j <= N; j++){ //V[i*j] = (1 - V[i]) * V[i*j] + V[i] * V[i*j] * p; //V[i*j] = 1 - ((1 - V[i*j]) + V[i] * V[i*j] * (1 - p)); V[i*j] *= p; } //O(V); } cout << sum << el; }