#include #define M_PI 3.14159265358979323846 // pi using namespace std; typedef long long ll; typedef unsigned long long ull; typedef vector VI; typedef pair P; typedef tuple t3; typedef tuple t4; #define rep(a,n) for(ll a = 0;a < n;a++) #define repi(a,b,n) for(ll a = b;a < n;a++) #include using namespace std; template void chmax(T& reference, T value) { reference = max(reference, value); } template void chmin(T& reference, T value) { reference = min(reference, value); } class Primes { private: vector Prime_Number; vector is_prime_; public: Primes(int N) { is_prime_.resize(N + 1, true); is_prime_[0] = is_prime_[1] = false; for (int i = 0; i < N + 1; i++) { if (is_prime_[i]) { Prime_Number.push_back(i); for (int j = 2 * i; j <= N; j += i) is_prime_[j] = false; } } } int operator[](int i) { return Prime_Number[i]; } int size() { return Prime_Number.size(); } int back() { return Prime_Number.back(); } bool isPrime(int q) { return is_prime_[q]; } }; class Divisor { private: vector F; vector> pfactorize; public: Divisor(ll N) { for (ll i = 1; i * i <= N; i++) { if (N % i == 0) { F.push_back(i); if (i * i != N) F.push_back(N / i); } } sort(begin(F), end(F)); Primes p((ll)sqrt(N) + 1); for (int i = 0; i < p.size(); i++) { pfactorize.emplace_back(p[i], 0); while (N % p[i] == 0) { N /= p[i]; pfactorize.back().second++; } if (pfactorize.back().second == 0) pfactorize.pop_back(); } if (N > 1) pfactorize.emplace_back(N, 1); } int size() { return F.size(); } const vector>& pfac() { return pfactorize; } ll operator[](int k) { return F[k]; } const vector& factors() { return F; } }; #include using namespace atcoder; typedef modint1000000007 mint; struct BIT { typedef double input_t; vector bit_; const long long n_; BIT(long long n) :n_(n) { bit_.resize(n + 1LL, 0); } input_t sum(int i) { input_t s = 0; while (i > 0) { s += bit_[i]; i -= i & (-i); } return s; } void add(int i, input_t x) { while (i <= n_) { bit_[i] += x; i += (i & (-i)); } } }; constexpr double mpow(double x, ll n) { double ans = 1; while (n != 0) { if (n & 1) ans = ans * x; x = x * x; n = n >> 1; } return ans; } int main() { ll n; double p; cin >> n >> p; vector table(n + 1, 0); for (int i = 2; i <= n; i++) { for (int j = 1; i * j <= n; j++) { table[i * j]++; } } double ex = 0; for (int i = 2; i <= n; i++) { int c = table[i]; double q = mpow(1-p, c - 1); ex += q; } cout << setprecision(10) << fixed << ex << endl; return 0; }