#include #define ft first #define sc second #define lb lower_bound #define ub upper_bound #define pb push_back #define pt(sth) cout << sth << "\n" #define chmax(a, b) {if(ab) a=b;} #define moC(a, s, b) (a)=((a)s(b)+MOD)%MOD using namespace std; typedef long long ll; typedef pair P; static const ll INF=1e18; static const ll MAX=1e5+7; static const ll MOD=1e9+7; typedef pair DP; double p, q; DP joint(DP dp1, DP dp2) { DP res; double p1=dp1.ft, q1=dp1.sc; double p2=dp2.ft, q2=dp2.sc; res.ft=p1+p2*q1*q1/(1-p1*p2); res.sc=p2*q1*q2/(1-p1*p2); return res; } DP dpow(DP dp, ll n) { DP res=DP(p, q); while(n>0) { if(n&1) res=joint(res, dp); dp=joint(dp, dp); n>>=1; } return res; } int main(void) { ll N; cin >> N; cin >> p >> q; ll i, j; printf("%.10f\n", dpow(DP(p, q), N-1).ft); }