#include #include #include #include #include #include #include #include using namespace std; typedef long double ld; const int MAX = 1000; ld dp[MAX + 10][101][2]; int main() { cin.tie(0); ios::sync_with_stdio(false); int p0, q; cin >> p0 >> q; ld ans = 1.0 / 3.0; dp[0][p0][0] = 1.0 / 3.0; for(int i = 0; i < MAX; i++) { for(int j = 0; j <= 100; j++) { for(int k = 0; k < 2; k++) { if(dp[i][j][k] == 0) continue; // use ans += j / 100.0 * dp[i][j][k] / 2; dp[i + 1][max(0, j - q)][1] += j / 100.0 * dp[i][j][k] / 2; // not use ans += (100 - j) / 100.0 * dp[i][j][k] / 3; dp[i + 1][min(100, j + q)][0] += (100 - j) / 100.0 * dp[i][j][k] / 3; } } } cout << setprecision(15) << ans << endl; }