  We give a proof of Willcocks's Conjecture, stating that if $p - q$ and $p +
q$ are relatively prime, then there exists a Hamiltonian tour of a $(p,
q)$-leaper on a square chessboard of side $2(p + q)$. The conjecture was
formulated by T. H. Willcocks in 1976 and has been an open problem since.
