#include #include #include #include #include #include #include #include using namespace std; #define GET_ARG(a,b,c,F,...) F #define REP3(i,s,e) for (i = s; i <= e; i++) #define REP2(i,n) REP3 (i,0,(int)(n)-1) #define REP(...) GET_ARG (__VA_ARGS__,REP3,REP2) (__VA_ARGS__) #define RREP3(i,s,e) for (i = s; i >= e; i--) #define RREP2(i,n) RREP3 (i,(int)(n)-1,0) #define RREP(...) GET_ARG (__VA_ARGS__,RREP3,RREP2) (__VA_ARGS__) #define DEBUG(x) cerr << #x ": " << x << endl const int LOOPS = 1e4; double dp[2][101]; int main(void) { int i, j, p, q; cin >> p >> q; dp[0][p] = 1.0 / 3.0; double ans = 1.0 / 3.0; REP (i,LOOPS) { REP (j,0,100) dp[1-i%2][j] = 0; REP (j,0,100) { ans += dp[i%2][j] * j / 100 / 2 + dp[i%2][j] * (100 - j) / 100 / 3; dp[1-i%2][min(100,j+q)] += dp[i%2][j] * (100 - j) / 100 / 3; dp[1-i%2][max(0,j-q)] += dp[i%2][j] * j / 100 / 2; } } printf("%.8f\n",ans); return 0; }