Say you and some friends decide to make brackets for March Madness and are told how each of your brackets scored. The question we ask is: when can you determine how the actual tournament went given your scores? We determine the exact minimum number of brackets needed to do this for any March Madness-style tournament regardless of the scoring system used, and more generally we prove effective bounds for the problem for arbitrary single-elimination tournaments.

翻译：假设您与几位朋友决定为疯狂三月锦标赛制作赛程表，并被告知各自赛程表的得分情况。我们探讨的问题是：在何种条件下，可以根据这些得分推断出实际锦标赛的完整进程？针对任何采用疯狂三月赛制的锦标赛，无论使用何种计分系统，我们精确确定了实现该推断所需的最小赛程表数量。更广义而言，我们为任意单败淘汰制锦标赛的该问题给出了有效的边界证明。