// Proof: Set n to a number >= 39 in the following program:

func main() {
  const (
    b = byte(0xc0)
    n = 9
  )
  s := []string{string(b)}
  for i := 0; i < n; i++ {
    s = append(s, []string{""}...)
  }
  for i := 0; i < n; i++ {
    for j := 0; j < len(s[i]); j++ {
      s[i+1] += string(s[i][j])
    }
  }
  println(len(s[n]), len(s[n]) == 1<<(n+1))
}

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