1. A cache-accessing system having a binary tree with decision nodes, comprising: a cache comprising a plurality of sets; a replacement management table employable for managing a replacement policy of information associated with the plurality of sets; a pseudo least recently used function employable to determine the least recently used set of the cache; an override signal line employable to enable an overwrite of a decision node of the binary tree; and a value signal line employable to overwrite the decision node of the binary tree.