#ifdef LOCAL111 #else #define NDEBUG #endif #include const int INF = 1e8; using namespace std; #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #define RBP(i,a) for(auto& i : a) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} #else #define DEBUG(x) true template void dpite(T a, T b){ return; } #endif #define F first #define S second #define SNP string::npos #define WRC(hoge) cout << "Case #" << (hoge)+1 << ": " #define rangej(a,b,c) ((a) <= (c) and (c) < (b)) #define rrangej(b,c) rangej(0,b,c) template void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} typedef long long int LL; typedef unsigned long long ULL; typedef pair P; typedef pair LP; void ios_init(){ cout.setf(ios::fixed); cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } const double EPS = 1e-7; int main() { ios_init(); int p0, q; while(cin >> p0 >> q){ // p0 /= 100; // q /= 100; double ans = 1./3; unordered_map dp; dp[p0] = 1./3; REP(hoge,10000){ RBP(e,dp){ // DEBUG(e.F); ans += e.S*(e.F/100./2+(1-e.F/100.)/3); } // DEBUG(ans); unordered_map dpp; RBP(e,dp){ dpp[max(0,e.F-q)] += 1./2*(e.F/100.)*e.S; dpp[min(100,e.F+q)] += 1./3*(1-e.F/100.)*e.S; } dp = dpp; // double t1, t2; } cout << ans << endl; } return 0; }