#include #define FOR(i,a,b) for (int i=(a);i<(b);i++) #define FORR(i,a,b) for (int i=(a);i>=(b);i--) #define pb push_back #define pcnt __builtin_popcount #define show(x) cout<<#x<<" = "< pii; typedef vector vi; typedef vector vvi; typedef vector vpii; typedef set si; typedef pair pll; typedef vector vl; typedef vector vvl; typedef vector vpll; typedef set sl; templatestring join(vector&v) {stringstream s;FOR(i,0,sz(v))s<<' '<b)swap(a,b);for(;a>0;b%=a,swap(a,b));return b;} int modpow(ll a,ll n,int m){if(a==0)return a;ll p=1;for(;n>0;n/=2,a=a*a%m)if(n&1)p=p*a%m;return(int)p;} void dout(double d){printf("%.12f\n",d);} const int iinf = 1e9; const ll linf = 1e18; const int mod = 1e9+7; const double pi = acos(-1); const double eps = 1e-10; const double td = (1./3); const double sd = (1./6); int p, q; double f[101], fn[101], s; main(){ cin.tie(0); ios::sync_with_stdio(false); cin >> p >> q; f[p] = td; FOR(i, 0, 10000){ FOR(i, 0, 101) fn[i] = 0.; FOR(i, 0, 101){ s += f[i] * (td + sd * i / 100); fn[max(0, i - q)] += f[i] * i / 200; fn[min(100, i + q)] += f[i] * (100 - i) / 300; } swap(f, fn); } dout(td + s); }