#include using namespace std; #define endl '\n' #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define uniq(v) (v).erase(unique((v).begin(), (v).end()), (v).end()) typedef long long ll; typedef pair P; typedef unsigned int uint; typedef unsigned long long ull; struct pairhash { public: template size_t operator()(const pair &x) const { size_t seed = hash()(x.first); return hash()(x.second) + 0x9e3779b9 + (seed<<6) + (seed>>2); } }; const int inf = 1000000009; const double eps = 1e-8; double solve(int n, int k) { int tarou[n+1][6*n+1], jirou[n+1][6*n+1]; memset(tarou, 0, sizeof(tarou)); memset(jirou, 0, sizeof(jirou)); tarou[0][0] = jirou[0][0] = 1; for (int i = 0; i < n; i++) { for (int j = 0; j <= 6*n; j++) { for (int k = 1; k <= 6; k++) { if (j + k <= 6 * n) jirou[i+1][j+k] += jirou[i][j]; } } } for (int i = 0; i < n-k; i++) { for (int j = 0; j <= 6*n; j++) { for (int k = 1; k <= 6; k++) { if (j + k <= 6 * n) tarou[i+1][j+k] += tarou[i][j]; } } } int spe[6] = {4, 4, 5, 5, 6, 6}; for (int i = n-k; i < n; i++) { for (int j = 0; j <= 6*n; j++) { for (int k = 0; k < 6; k++) { if (j + spe[k] <= 6 * n) tarou[i+1][j+spe[k]] += tarou[i][j]; } } } /* for (int i = 1; i <= 6 * n; i++) { cout << i << ": " << jirou[i] << " " << tarou[i] << endl; } */ int sumj, sumt = 0; for (int i = 1; i <= 6 * n; i++) { sumt += tarou[n][i]; jirou[n][i] += jirou[n][i-1]; } sumj = jirou[n][6*n]; double res = 0; for (int i = 1; i <= 6 * n; i++) { res += (double)tarou[n][i] / sumt * jirou[n][i-1] / sumj; } return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); int n, k; cin >> n >> k; cout << solve(n, k) << endl; }