#include "bits/stdc++.h" using namespace std; #define int long long #define FOR(i, a, b) for(int i=(a);i<(b);i++) #define RFOR(i, a, b) for(int i=(b-1);i>=(a);i--) #define REP(i, n) for(int i=0; i<(n); i++) #define RREP(i, n) for(int i=(n-1); i>=0; i--) #define REP1(i, n) for(int i=1; i<=(n); i++) #define RREP1(i, n) for(int i=(n); i>=1; i--) #define ALL(a) (a).begin(),(a).end() #define UNIQUE_SORT(l) sort(ALL(l)); l.erase(unique(ALL(l)), l.end()); #define CONTAIN(a, b) find(ALL(a), (b)) != (a).end() #define out(...) printf(__VA_ARGS__) int dxy[] = {0, 1, 0, -1, 0}; void solve(); signed main() { #if DEBUG std::ifstream in("input.txt"); std::cin.rdbuf(in.rdbuf()); #endif cin.tie(0); ios::sync_with_stdio(false); solve(); return 0; } /*================================*/ int N; double p,q; double calcp(double p1, double q1, double p2, double q2) { return p1 + p2*q1*q1 / (1-p1*p2); } double calcq(double p1, double q1, double p2, double q2) { return q1*q2 / (1-p1*p2); } void solve() { cin>>N>>p>>q; double np = p, nq = q; REP(i,N-1) { double tp = calcp(np, nq, p, q); double tq = calcq(np, nq, p, q); np = tp; nq = tq; } out("%.14f\n", np); }