Permit any nonnegative dimension, including the empty vector:
def makeZeroVector(size: Int): Node = {
  require(size >= 0, "negative vector length")
  val head = new Node(0.0, size, null, null)
  head.prev = head
  head.next = head
  head
}
This establishes the circular-link representation invariant in time and uses one header regardless of the number of implicit zeros. For the nonzero dimension mentioned in part (b), simply use size > 0 at that call site.

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