In a specific attention mechanism, there are 8 query heads (indexed j=1 to 8) and 2 distinct Key-Value (KV) groups (indexed g=1 to 2). Query heads 1 through 4 are assigned to KV group 1, while query heads 5 through 8 are assigned to KV group 2. The output for a given query head j is calculated based on its own query vector q^[j] and the Key-Value pair from its assigned group, (K^[g(j)], V^[g(j)]). Which Key-Value pair will query head 6 use for its computation?

In a grouped-query attention system with 12 query heads (indexed j=1 to 12), the function g(j) maps a query head j to its corresponding key-value group. This mapping is defined by the formula g(j) = floor((j-1) / 3) + 1. Based on this, which of the following pairs of query heads will use the same set of Key and Value matrices for their attention computation?

Consider an attention mechanism where the output for a head j is computed by the formula head_j = Att_qkv(q_i^[j], K_<=i^[g(j)], V_<=i^[g(j)]). In this setup, q_i^[j] is a query vector unique to head j, while the function g(j) maps head j to a potentially shared key-value group.

Statement: If two distinct query heads, j1 and j2, are mapped to the same key-value group (meaning g(j1) = g(j2)), their final output vectors, head_j1 and head_j2, will necessarily be identical.