case 2:
        return 1; // The lone element in the maxHeap is the maximum.
      default:
        // The max element must sit on the first level of the maxHeap. It is
        // actually the *lesser* of the two from the maxHeap's perspective.
        return (maxHeap.compareElements(1, 2) <= 0) ? 1 : 2;
    }
  }

  /**

            assertTrue(maxCap > 0 && maxCap < Integer.MAX_VALUE, "Combined capabilities should fit in positive 32-bit integer");
        }
    }