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Solve the four diagonal blocks independently and retain FP32 inverse tiles through merging. Select by chunk occupancy to bound scratch, with CUDA regression coverage for packed layouts, dtypes, precision modes and fallback behavior.
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Parallelize diagonal solves for packed KDA Prefill, selecting by chunk occupancy instead of GPU or request-count whitelists.
H200, 8K tokens and 64 heads: eager KDA takes 4.392 → 3.899 ms, with 32 MiB additional solver workspace. The full-forward intermediate allocation peak remains 1412 MiB. CUDA correctness tests, 26 unit tests and memcheck pass; SM80/89/90/100/120 compilation also passes.