Solution (source code)

= Solution

The rightmost <trait> intercepts insertion first. In `A`, capitalization runs before counting, so the counter receives uppercase `A` and does not increment the lowercase count. In `B`, counting receives lowercase `a`, delegates to capitalization, and then increments the original lowercase argument's counter. Both concrete documents store uppercase `A`.

The exact output is
``
0
1
``
$$
\boxed{d1.\mathrm{getCount}(\texttt{'a'})=0,\qquad d2.\mathrm{getCount}(\texttt{'a'})=1.}
$$
This illustrates an order-sensitive <stackable trait modification>. In the second composition the cached count describes intercepted insertion arguments, and no longer the actual lowercase characters in the stored document. For example, deleting its uppercase `A` would not decrement the lowercase counter. A counter required to track actual contents under arbitrary transforming <mixins> would need a stronger composition contract or would inspect the stored character after insertion; such a change would alter the intended behavior of this example.