#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include 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; } const long long MAX = 5100000; const long long INF = 1LL << 60; const long long mod = 1000000007LL; //const long long mod = 998244353LL; using namespace std; typedef unsigned long long ull; typedef long long ll; int main() { /* cin.tie(nullptr); ios::sync_with_stdio(false); */ ll N; scanf("%lld", &N); double p, q; cin >> p >> q; double np = p; double nq = q; if (abs(p - 1) < 1e-7) { puts("1"); return 0; } for (ll i = 1; i < N; i++) { double tp = np + nq * nq * p / (1 - np * p); double tq = nq * q / (1 - np * p); np = tp; nq = tq; } cout << fixed << setprecision(12) << np << endl; return 0; }