D - Game of Three

Alice and Bob are playing a game with **three** positive integers $a_1$, $a_2$, and $a_3$. The players take turns, with Alice moving first. On their turn, the current player can perform the following operation: - Choose two distinct indices $i$ and $j$ ($i \ne j$) such that both $a_i > 0$ and $a_j > 0$. - Calculate $d = |a_i - a_j|$. Here $|x|$ denotes the absolute value of $x$. For example, $|