A system is generating a series of stored Key-Value (KV) cache states for the input sequence of tokens [A, B, C, D]. One stored state, cache_BC, corresponds to the prefix [A, B]. Another stored state, cache_BCD, corresponds to the prefix [A, B, C]. What is the relationship between cache_BC and cache_BCD?

A system is designed to generate and store a complete set of Key-Value (KV) cache states for all possible prefixes of the input token sequence ['The', 'cat', 'sat']. Arrange the following events in the correct chronological order in which they would occur during this process.

Formula for Prefix Cache State Generation

Applying the Prefix Cache Generation Process