package main import ( "bufio" "fmt" "math" "os" "strconv" ) func exec(stdin *Stdin, stdout *Stdout) { k := stdin.ReadInt() dp := make([][]float64, k+1) for i := 0; i < k+1; i++ { dp[i] = make([]float64, k) } dp[0][0] = 1.0 cost := make([]float64, k+1) for i := 0; i < k+1; i++ { for j := 0; j < k; j++ { if dp[i][j] == 0.0 { continue } for d := 1; d <= 6; d++ { if j+d < k { dp[i+1][j+d] += dp[i][j] } else { cost[i+1] += dp[i][j] } } } } e := 0.0 for i := 0; i < k+1; i++ { e += float64(i) * (cost[i] * (1.0 / math.Pow(6, float64(i)))) } stdout.Println(e) } func main() { stdout := NewStdout() defer stdout.Flush() exec(NewStdin(bufio.ScanWords), stdout) } type Stdin struct { stdin *bufio.Scanner } func NewStdin(split bufio.SplitFunc) *Stdin { s := Stdin{bufio.NewScanner(os.Stdin)} s.stdin.Split(split) s.stdin.Buffer(make([]byte, bufio.MaxScanTokenSize), int(math.MaxInt32)) return &s } func (s *Stdin) Read() string { s.stdin.Scan() return s.stdin.Text() } func (s *Stdin) ReadInt() int { n, _ := strconv.Atoi(s.Read()) return n } func (s *Stdin) ReadFloat64() float64 { n, _ := strconv.ParseFloat(s.Read(), 64) return n } type Stdout struct { stdout *bufio.Writer } func NewStdout() *Stdout { return &Stdout{bufio.NewWriter(os.Stdout)} } func (s *Stdout) Flush() { s.stdout.Flush() } func (s *Stdout) Println(a ...interface{}) { fmt.Fprintln(s.stdout, a...) }