// 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))
}