#include #include #include #include #include #include #include #include #define rep(i, n) for (int i = 0; i < (n); i++) #define rrep(i, n) for (int i = (n)-1; i >= 0; i--) using namespace std; typedef long long int lli; typedef pair P; lli MOD = 1000000007; double f(double, int); double g(double, int); double p, q; double r = 1.0 / 3.0; double fdp[105] = {}; double gdp[105] = {}; double f(double x, int dph) { int xx = (int)(x * 100); //if (fdp[xx] != 0) //return fdp[xx]; double tp = min(1.0, x + q); if (dph == 0) return 0; return fdp[xx] = tp * 0.5 + tp * 0.5 * g(tp, dph - 1) + (1 - tp) * r + (1 - tp) * r * f(tp, dph - 1); } double g(double x, int dph) { int xx = (int)(x * 100); //if (gdp[xx] != 0) //return gdp[xx]; double tp = max(0.0, x - q); if (dph == 0) return 0; return gdp[xx] = tp * 0.5 + tp * 0.5 * g(tp, dph - 1) + (1 - tp) * r + (1 - tp) * r * f(tp, dph - 1); } int main() { cin >> p >> q; p /= 100.0; q /= 100.0; double ans = 0; ans = r + r * (p * 0.5 + p * 0.5 * g(p, 20) + (1 - p) * r + (1 - p) * r * f(p, 20)); printf("%.10f\n", ans); }