/* -*- coding: utf-8 -*- * * 58.cc: No.58 イカサマなサイコロ - yukicoder */ #include<cstdio> #include<cstdlib> #include<cstring> #include<cmath> #include<iostream> #include<string> #include<vector> #include<map> #include<set> #include<stack> #include<list> #include<queue> #include<deque> #include<algorithm> #include<numeric> #include<utility> #include<complex> #include<functional> using namespace std; /* constant */ const int MAX_N = 10; /* typedef */ typedef vector<int> vi; /* global variables */ /* subroutines */ int roll_dice(int n, int k, vi &cs) { cs.assign(n * 6 + 1, 0); vi ds(n); for (int i = 0; i < k; i++) ds[i] = 4; for (int i = k; i < n; i++) ds[i] = 1; int total = 0; for (;;) { int sum = 0; for (int i = 0; i < n; i++) sum += ds[i]; cs[sum]++; total++; int i = 0; for (; i < n; i++) { if (++ds[i] <= 6) break; ds[i] = (i < k) ? 4 : 1; } if (i >= n) break; } return total; } /* main */ int main() { int n, k; cin >> n >> k; vi cs0, cs1; int t0 = roll_dice(n, k, cs0); int t1 = roll_dice(n, 0, cs1); //printf("%d\n", t0); //for (int i = 0; i < cs0.size(); i++) printf("%d ", cs0[i]); putchar('\n'); double p = 0.0; for (int i0 = 1; i0 < cs0.size(); i0++) for (int i1 = 0; i1 < i0; i1++) p += ((double)cs0[i0] / t0) * ((double)cs1[i1] / t1); printf("%.5lf\n", p); return 0; }