Propose prototype of partitionable MINs+ using I/O cross-control switches. Optimal VA-DE (Valuable ATAPE with Dynamic Embedding) supports multiple tasks. Embedding new ATAPE with super-pipelining and triple-right scheduling. Prove correctness of d-nary MINs+ and improve complexity of new ATAPE =O(N/x)=O(N/x). Remarkable speedup and throughput were strongly confirmed on PMINs+.