Dazzling AXNODR Challenge

Dazzler has a blank canvas and $(N-1)$ colours numbered from $2$ to $N$. Let $B$ denote the *beauty* of the canvas. The *beauty* of a blank canvas is $1$. Dazzler paints the canvas by using all the $(N-1)$ colours **exactly** once. On applying the $i^{th}$ colour $(2 \leq i \leq N)$: - If $i$ is odd, $B = B$ $\&$ $i$. - If $i$ is even, $B = B \oplus i$. Find the *beauty* of the canvas after a