This method involves pre-computing various outcomes and embedding them as sibling tapleaves in the transaction. Specifically, for a group of N participants, N presigned transactions are prepared. Each transaction includes two outputs: one that allocates the exiting party's share and another that distributes the combined share among the remaining participants. This strategy effectively reduces what initially appears to be a problem of factorial complexity into a more manageable form.

By applying certain techniques like APO or CTV (covenant transaction), the computational burden can be significantly reduced. The offchain computation required falls within the order of O(N^3), achieved by leveraging shared common scriptPubKeys and acknowledging that ejections are commutative operations. On the blockchain, the complexity is further reduced to O(N), demonstrating an efficient on-chain execution model.

Another critical aspect discussed is the use of accumulators in the consensus mechanism, which must either compute or verify removal operations. Introducing an opcode capable of performing this task could provide substantial utility across various applications. The discussion also touches on the convention of using single-letter variable names in programming, arguing that this practice can sometimes aid in understanding the structure of an idea without being distracted by overly descriptive or reductive nomenclature. However, it acknowledges that this approach might not always be necessary and could sometimes stem from less constructive motivations.