#include using namespace std; #define mp make_pair using ll = long long; using ld = long double; using P = pair; #define ldout fixed << setprecision(40) static const double EPS = 1e-14; static const long long INF = 1e18; static const long long mo = 1e9+7; ld p0, q; ll search_depth; map, ld> memo; ld dfs(ld p, ll depth) { if (memo.count(mp(p, depth))) return memo[mp(p, depth)]; if (depth > search_depth) return 1; return memo[mp(p, depth)] = p / 2 + (1 - p) / 3 + dfs(max(0.0l, p - q), depth + 1) * p / 2 + dfs(min(1.0l, p + q), depth + 1) * (1 - p) / 3; } int main(void) { cin >> p0 >> q; search_depth = 112; cout << ldout << (1.0l + dfs(p0, 0)) / 3 << endl; return 0; }