#include #include using namespace std; double dp[2][216], res; int l, k; int main(){ dp[0][0] = 1; cin >> k; for(int i = 1, id = 1;i < 108000;i++,id ^= 1){ for(int j = 0;j <= k;j++)dp[id][j] = 0; for(int j = 0;j <= k;j++){ for(int l = j+1;l <= j+6;l++){ dp[id][l>k?0:l] += dp[!id][j] /6.0; } } res += dp[id][k]*i; dp[id][k] = 0; } cout << res << endl; return 0; }