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The update process for the compressive memory, $$\mathrm{CMem}$$, operates as a First-In, First-Out (FIFO) queue. The function takes the newly compressed key-value pairs, $$C_{\mathrm{kv}}^{k}$$, appends them to the queue, and drops the oldest entries from the previous compressive memory state, $$\mathrm{CMem}_{\mathrm{pre}}$$. This produces the updated memory state according to the formula: $$\mathrm{CMem} = \mathrm{FIFO}(C_{\mathrm{kv}}^{k}, \mathrm{CMem}_{\mathrm{pre}})$$

Formula for FIFO Update of Compressive Memory

A system's memory component is updated according to the rule: `Updated_Memory = Update_Function(New_Data, Previous_Memory)`. The memory has a fixed capacity of 4 items. Initially, the `Previous_Memory` state is `[item_1, item_2, item_3, item_4]`, ordered from oldest to newest. After one update step, the `Updated_Memory` state is `[item_3, item_4, item_5, item_6]`. Based on this outcome, what was the `New_Data` that was processed, and what specific actions did the `Update_Function` perform to arrive at the final state?

Deconstructing a Memory Update

The formula `CMem = FIFO(C_kv^k, CMem_pre)` describes the update process for a fixed-size memory queue. Arrange the following events into the correct chronological order that this formula represents.

A model's memory component has a fixed capacity of 4 slots and is updated using a First-In, First-Out (FIFO) queue mechanism. The current state of the memory, ordered from oldest to newest, is `[M1, M2, M3, M4]`. If a new set of 2 items, `[N1, N2]`, is to be added, what will be the final state of the memory after the update?

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