  Let $p$ and $q$ be positive integers such that the $(p, q)$-leaper $L$ is
free. We prove that $L$ tours the board of size $4pq \times n$ for all
sufficiently large positive integers $n$. Combining this with the recently
established conjecture of Willcocks which states that $L$ tours the square
board of side $2(p + q)$, we conclude that furthermore $L$ tours all boards
both of whose sides are even and sufficiently large. This, in particular,
completely resolves the question of the Hamiltonicity of leaper graphs on
sufficiently large square boards.
