#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; typedef unsigned long long ULL; #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 SZ(a) int((a).size()) #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() const double EPS = 1e-10; const double PI = acos(-1.0); #define dump(x) cerr << #x << " = " << (x) << endl; #define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl; int main() { cin.tie(0); ios::sync_with_stdio(false); int N, K; cin >> N >> K; VVI dp1(N + 1, VI(70, 0)), dp2(N + 1, VI(70, 0)); dp1[0][0] = dp2[0][0] = 1; int d1[6] = {1, 2, 3, 4, 5, 6}; int d2[6] = {4, 5, 6, 4, 5, 6}; REP(i, N){ REP(j, 62){ REP(k, 6){ dp1[i + 1][j + d1[k]] += dp1[i][j]; if(i < K) dp2[i + 1][j + d2[k]] += dp2[i][j]; else dp2[i + 1][j + d1[k]] += dp2[i][j]; } } } double ret = 0; int denominator1= 0, denominator2 = 0; REP(i, 70){ denominator1 += dp1[N][i]; denominator2 += dp2[N][i]; } REP(i, 70) REP( j, 70){ int numerator1 = 0, numerator2 = 0; if(i < j){ numerator1 += dp1[N][i]; numerator2 += dp2[N][j]; } ret += 1.0 * numerator1 / denominator1 * numerator2 / denominator2; } /* ret = 1.0 * (numerator1 * numerator2) / (denominator1 * denominator2); ret = 1.0 * numerator1 / denominator1 * numerator2 / denominator2; */ cout << ret << endl; return 0; }