So many mods

$\large y=||||\ldots |||x|-k|-k|-k|\ldots -k|-k|-k|-k|$

Consider the equation above where $k$ is any positive integer and there are $n$ number of $k$ 's.

What is the area bounded by the curve and the $x$ -axis considered between the largest and the smallest $x$ coordinates where the equation vanishes?

Note that $|x|$ denote the absolute value of $x$ .