#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = (ll)1000000007 * 1000000007; typedef pair P; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=sta;i--) #define rep1(i,n) for(int i=1;i<=n;i++) #define per1(i,n) for(int i=n;i>=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef long double ld; typedef complex Point; const ld eps = 1e-8; const ld pi = acos(-1.0); typedef pair LP; int n; ld p,q,a[1010],b[1010]; void solve(){ cin >> n >> p >> q; a[0]=p;b[0]=q; //cout << 1 << " " << a[0] << endl; rep(i,n-1){ a[i+1]=a[i]+b[i]*b[i]*p/(1-a[i]*p); b[i+1]=b[i]*q/(1-a[i]*p); //cout << i+2 << " " << a[i+1] << endl; } cout << a[n-1] << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(50); solve(); }