#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define REP(i,a,n) for(int i=(a); i<(int)(n); i++) #define rep(i,n) REP(i,0,n) #define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; double ret; double p0, q; void rec(double p, bool prev, double x, int depth, bool first = false){ if(depth>25) return; //win if(prev) ret += x * (1/2.0); else ret += x * (1/3.0); //draw if(prev){ double t = p-q; if(t<0.0) t = 0.0; rec(t, true, (1/2.0) * t * x, depth+1); rec(t, false, (1/2.0) * (1-t) * x, depth+1); }else{ if(first){ rec(p0, true, (1/3.0) * p0 * x, depth+1); rec(p0, false, (1/3.0) * (1-p0) * x, depth+1); }else{ double t = p+q; if(t>1.0) t = 1.0; rec(t, true, (1/3.0) * t * x, depth+1); rec(t, false, (1/3.0) * (1-t) * x, depth+1); } } } int main(){ int p0int, qint; cin >> p0int >> qint; p0 = p0int/100.0; q = qint/100.0; ret = 0; rec(0, false, 1.0, 0, true); printf("%.10lf\n", ret); return 0; }