#include #include #define FOR( i, l, r) for(int i = (l) ; i < (r); i++) #define FOR1(i, l, r) for(int i = (l) ; i <= (r); i++) #define REV( i, l, r) for(int i = (r) - 1; i >= (l); i--) #define REV1(i, l, r) for(int i = (r) ; i >= (l); i--) #define INC( i, n) FOR( i, 0, n) #define INC1(i, n) FOR1(i, 1, n) #define DEC( i, n) REV( i, 0, n) #define DEC1(i, n) REV1(i, 1, n) typedef signed long long int LL; typedef unsigned long long int UL; template void swap(T &x, T &y) { T t = x; x = y; y = t; return; } template T abs(T x) { return (x > 0 ? x : -x); } template T max(T a, T b) { return (a > b ? a : b); } template T min(T a, T b) { return (a < b ? a : b); } template bool setmin(T &a, T b) { if(a <= b) { return false; } else { a = b; return true; } } template bool setmax(T &a, T b) { if(a >= b) { return false; } else { a = b; return true; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- int p0, q; double r[101], temp[101], ans; int main() { scanf("%d%d", &p0, &q); ans += 1.0 / 3.0; r[p0] = 1.0 / 3.0; INC(i, 24) { INC(p, 101) { temp[p] = 0.0; } INC(p, 101) { double pp = p / 100.0; ans += r[p] * (pp / 2.0 + (1.0 - pp) / 3.0); int up = min(p + q, 100); int dp = max(p - q, 0); temp[up] += r[p] * (1.0 - pp) / 3.0; temp[dp] += r[p] * pp / 2.0; } INC(p, 101) { r[p] = temp[p]; } } printf("%.8lf\n", ans); return 0; }