Constructor/Selector for Three-pile Nim

make-game-state and size-of-pile need to satisfy the following:
          (size-of-pile (make-game-state n m k) 1) ⇒ n
          (size-of-pile (make-game-state n m k) 2) ⇒ m
          (size-of-pile (make-game-state n m k) 3) ⇒ k
For the constructor, we can cons the third pile value onto what we already have from two-pile Nim:
     (define make-game-state
       (lambda (n m k) (cons k (cons n m))))
Can visualize this as either:

or