Advent of PBT 2021 - Day 11

/**
 * In hanoi tower, we consider disks having sizes ranging from 1 to
 * towerHeight (included). We want to move this tower from a given
 * start position to an end position.
 *
 * But to do so we have several rules to follow:
 * - disk can only be moved on top of another one with larger size
 *   (or position empty)
 * - one disk at a time
 * - cannot move disks outside of the tower
 *
 * For instance the hanoi game with towerHeight=3 and startPosition=0
 * at start time is:
 *
 *    X   (1)    |          |
 *   XXX  (2)    |          |
 *  XXXXX (3)    |          |
 *  --+--      --+--      --+--
 *
 * @param towerHeight - The height of the hanoi tower
 *                      (between 0 and 10)
 * @param startPosition - The position of the hanoi tower at start
 *                        time (one of 0, 1 or 2)
 * @param endPosition - The position of the hanoi tower at the end
 * @param move - Move function called each time the function wants
 *               to move the disk on top of "from" to the top of "to"
 */
declare function hanoiTower(
  towerHeight: number,
  startPosition: number,
  endPosition: number,
  move: (from: number, to: number) => void
): void;

it("should be able to move a tower of size 3 from 0 to 2", () => {
  const move = jest.fn();
  hanoiTower(3, 0, 2, move);
  expect(move.mock.calls).toEqual([
    // state: (1/2/3) / () / ()
    [0, 2],
    // state: (2/3) / () / (1)
    [0, 1],
    // state: (3) / (2) / (1)
    [2, 1],
    // state: (3) / (1/2) / ()
    [0, 2],
    // state: () / (1/2) / (3)
    [1, 0],
    // state: (1) / (2) / (3)
    [1, 2],
    // state: (1) / () / (2/3)
    [0, 2]
    // state: () / () / (1/2/3)
  ]);
});

it("should be able to move a tower of size 3 from 2 to 1", () => {
  const move = jest.fn();
  hanoiTower(3, 2, 1, move);
  expect(move.mock.calls).toEqual([
    // state: () / () / (1/2/3)
    [2, 1],
    // state: () / (1) / (2/3)
    [2, 0],
    // state: (2) / (1) / (3)
    [1, 0],
    // state: (1/2) / () / (3)
    [2, 1],
    // state: (1/2) / (3) / ()
    [0, 2],
    // state: (2) / (3) / (1)
    [0, 1],
    // state: () / (2/3) / (1)
    [2, 1]
    // state: () / (1/2/3) / ()
  ]);
});