#include #include #include #include #include #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; /*-------------------------------------------------*/ double p, q; void calc(double &ans_p, double &ans_q) { double p_1 = ans_p, q_1 = ans_q, bunbo = 1 - p_1 * p; ans_p += p * q_1 * q_1 / bunbo; ans_q = q_1 * q / bunbo; } int main() { // freopen("input.txt", "r", stdin); int n; cin >> n >> p >> q; double ans_p = p, ans_q = q; while (--n) { calc(ans_p, ans_q); } printf("%.5f\n", ans_p); }