#include using namespace std; // #define int long long #define rep(i, n) for (long long i = (long long)(0); i < (long long)(n); ++i) #define reps(i, n) for (long long i = (long long)(1); i <= (long long)(n); ++i) #define rrep(i, n) for (long long i = ((long long)(n)-1); i >= 0; i--) #define rreps(i, n) for (long long i = ((long long)(n)); i > 0; i--) #define irep(i, m, n) for (long long i = (long long)(m); i < (long long)(n); ++i) #define ireps(i, m, n) for (long long i = (long long)(m); i <= (long long)(n); ++i) #define irreps(i, m, n) for (long long i = ((long long)(n)-1); i > (long long)(m); ++i) #define SORT(v, n) sort(v, v + n); #define REVERSE(v, n) reverse(v, v+n); #define vsort(v) sort(v.begin(), v.end()); #define all(v) v.begin(), v.end() #define mp(n, m) make_pair(n, m); #define cinline(n) getline(cin,n); #define replace_all(s, b, a) replace(s.begin(),s.end(), b, a); #define PI (acos(-1)) #define FILL(v, n, x) fill(v, v + n, x); #define sz(x) (long long)(x.size()) using ll = long long; using vi = vector; using vvi = vector; using vll = vector; using vvll = vector; using pii = pair; using pll = pair; using vs = vector; using vpll = vector>; using vtp = vector>; using vb = vector; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template using vc=vector; template using vvc=vc>; const ll INF = 1e9+10; const ll MOD = 1e9+7; const ll LINF = 1e18; const ll maxn_eratosthenes = 1000005; bool _is_prime[maxn_eratosthenes]; vector P; vector min_prime_can_divide_i; void eratosthenes(const ll N) { P.clear(); min_prime_can_divide_i = vll(maxn_eratosthenes+1, 1); for (ll i = 0; i <= N; i++) { _is_prime[i] = true; } _is_prime[0]=_is_prime[1]=false; for (ll i = 2; i <= N; i++) { if (_is_prime[i]) { for (ll j = 2 * i; j <= N; j += i) { _is_prime[j] = false; if(min_prime_can_divide_i[j]==1) min_prime_can_divide_i[j] = i; } P.emplace_back(i); min_prime_can_divide_i[i] = i; } } } signed main() { cin.tie( 0 ); ios::sync_with_stdio( false ); ll n; double p; cin>>n>>p; eratosthenes(maxn_eratosthenes-1); ll two[21]; two[0]=1; rep(i,20) two[i+1]=two[i]*2; // min_prime_can_divide_i:=その数xを割ることができる最小の素数 // min_prime_can_divide_iの素数の個数をmapで記録しつつ、now/min_prime_can_divide_i[now]へ遷移 // 約数の数は素因数から求めるなら、例えば20=2^2*5^1 ... (2+1)*(1+1)=6 .. +1はその数を使わない通り数 // この通り数から自身の数と1を除外するために-2する // 各i1個ずつをそれぞれ独立に見れば、sum(そのiが残る確率*1) = 全iを通して残る個数の期待値 double ans=0; irep(i,2,n+1){ ll now=i; map m; while(min_prime_can_divide_i[now]!=1){ m[min_prime_can_divide_i[now]]++; now/=min_prime_can_divide_i[now]; } ll cnt=1; for(auto e: m){ cnt*=e.second+1; } cnt-=2; ans+=powl((1-p), cnt); // cout<