#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; inline int toInt(string s) {int v; istringstream sin(s);sin>>v;return v;} template inline string toString(T x) {ostringstream sout;sout< VI; typedef vector VVI; typedef vector VS; typedef pair PII; typedef long long LL; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define MP make_pair #define MT make_tuple #define EACH(i,c) for(auto i: c) #define SORT(c) sort((c).begin(),(c).end()) #define ALL(a) (a).begin(),(a).end() #define RALL(a) (a).rbegin(), (a).rend() int main() { int p0, q; cin >> p0 >> q; const int NORMAL = 0, DEATHBLOW = 1; const int COUNT = 1000; double dp[COUNT][2][101]; REP(i, COUNT) REP(j, 2) REP(k, 101) dp[i][j][k] = 0; dp[0][0][0] = 1 / 3.0; double ret = 1 / 3.0; dp[1][NORMAL][p0] = dp[0][0][0] * (100 - p0) / 100.0 / 3; dp[1][DEATHBLOW][p0] = dp[0][0][0] * p0 / 100.0 / 2; ret += dp[1][0][p0] + dp[1][1][p0]; FOR(i, 2, COUNT){ REP(k, 101){ int p1 = min(100, k + q), p2 = max(0, k - q); double nn = dp[i - 1][NORMAL][k] * (100 - p1) / 100.0 / 3; double nd = dp[i - 1][NORMAL][k] * p1 / 100.0 / 2; double dn = dp[i - 1][DEATHBLOW][k] * (100 - p2) / 100.0 / 3; double dd = dp[i - 1][DEATHBLOW][k] * p2 / 100.0 / 2; dp[i][NORMAL][p1] += nn; dp[i][DEATHBLOW][p1] += nd; dp[i][NORMAL][p2] += dn; dp[i][DEATHBLOW][p2] += dd; ret += nd + dn + nn + dd; //cout << p1 << " " << p2 << " " << ret << endl; } } printf("%.8f", ret); return 0; }