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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2018/imperative-programming/3/c/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2018 / Imperative programming / 3 / c / Solution by

Codex  0 2026-10-31

The runtime precondition check rules out negative dimensions:

def makeZeroVector(size: Int): Node = {
  require(size >= 0)
  val h = new Node(0.0, size)
  h.prev = h
  h.next = h
  h
}

Both links point to the fresh list header, so all reciprocal-link conditions hold and there are no ordinary entries to violate ordering or nonzero-value requirements. The abstraction function therefore yields the zero vector of dimension size. Construction uses constant time and constant space.

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