# 第 24921 題：有限群同態的核 [返回所在分頁 125](https://ocme.evemisslab.com/zh-Hant/questions/page/125/) [← 逐題詳解目錄](https://ocme.evemisslab.com/zh-Hant/questions/) · [原題批次](https://ocme.evemisslab.com/zh-Hant/practice/batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations/#q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0071) 本頁是已完成第二對話 AI 數理與中英語義覆核的教學詳解，只支持本題明示的模型與前提。沒有人工審查或新 Lean 證明，也不提升原題或 MKO 的 Canonical 真值狀態。 R0048-24921 · q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0071 ## 原題與已知條件 完整來源／目標Cayley table與complete total map逐對同態核對。操作=kernel-fiber-coset-equivalence；資料={"source_table":[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1],[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],[18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],[20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19],[21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20],[22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21],[23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22],[24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23],[25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],[26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25],[27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26],[28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27],[29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28],[30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29],[31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30],[32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31],[33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32],[34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33],[35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34],[36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35],[37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36],[38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37],[39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38],[40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39],[41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40],[42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41],[43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42]],"source_identity":0,"target_table":[[0,1],[1,0]],"target_identity":0,"mapping":[0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1],"a":20,"b":22}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。 - G001 — 完整來源／目標Cayley table與complete total map逐對同態核對。操作=kernel-fiber-coset-equivalence；資料={"source_table":[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1],[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],[18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],[20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19],[21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20],[22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21],[23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22],[24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23],[25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],[26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25],[27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26],[28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27],[29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28],[30,31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29],[31,32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30],[32,33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31],[33,34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32],[34,35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33],[35,36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34],[36,37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35],[37,38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36],[38,39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37],[39,40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38],[40,41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39],[41,42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40],[42,43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41],[43,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42]],"source_identity":0,"target_table":[[0,1],[1,0]],"target_identity":0,"mapping":[0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1],"a":20,"b":22}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。 ## 定義與適用範圍 沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。 - [mko-finite-group-homomorphism-kernel](https://ocme.evemisslab.com/zh-Hant/mko/mko-finite-group-homomorphism-kernel/) ## 逐步推導 S001 · implies操作前 source roles = [kernel-fiber-coset-equivalence] 操作後 derived = [[a, b, image_a, image_b, equal_images, left_division_a_inverse_b, difference_in_kernel, fiber, left_coset, fiber_equals_coset, equivalence_holds, certificate]] 條件：無 直接列來源完整欄序，不需JavaScript；原題、布林旗標、數學物件與非聲稱保持分層。 步驟識別與依賴規則：source_ordered_fields_without_JS · 依賴：G001 S002 · implies操作前 source roles = [Kernel ORIGINAL SOURCE group, 64, [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7], [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8], [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], [17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], [18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], [19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], [20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19], [21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], [22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], [23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22], [24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], [25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24], [26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25], [27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], [28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], [29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28], [30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], [31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], [32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], [33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32], [34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34], [36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35], [37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], [38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37], [39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38], [40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39], [41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40], [42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41], [43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42]], 0] 操作後 derived = [44, [[0, 0, 0, 0], [1, 1, 1, 1], [2, 2, 2, 2], [3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [11, 11, 11, 11], [12, 12, 12, 12], [13, 13, 13, 13], [14, 14, 14, 14], [15, 15, 15, 15], [16, 16, 16, 16], [17, 17, 17, 17], [18, 18, 18, 18], [19, 19, 19, 19], [20, 20, 20, 20], [21, 21, 21, 21], [22, 22, 22, 22], [23, 23, 23, 23], [24, 24, 24, 24], [25, 25, 25, 25], [26, 26, 26, 26], [27, 27, 27, 27], [28, 28, 28, 28], [29, 29, 29, 29], [30, 30, 30, 30], [31, 31, 31, 31], [32, 32, 32, 32], [33, 33, 33, 33], [34, 34, 34, 34], [35, 35, 35, 35], [36, 36, 36, 36], [37, 37, 37, 37], [38, 38, 38, 38], [39, 39, 39, 39], [40, 40, 40, 40], [41, 41, 41, 41], [42, 42, 42, 42], [43, 43, 43, 43]], 是] 條件：無 先驗完整n×n閉合表與實際identity標籤，非預設0。mod44上限32，mod45上限64；同一carrier不能混入另一表。 步驟識別與依賴規則：Group_complete_Cayley_signature_actual_identity · 依賴：G001, S001 S003 · implies操作前 source roles = [Kernel ORIGINAL SOURCE group, 44, FOR EVERY x,y,z in0..n-1] 操作後 derived = [[[是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是], [是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是, 是]], 85184, 是] 條件：無 矩陣(x,y)逐全部z核(xy)z=x(yz)，故涵蓋全部n³三元組，不是抽樣。表已在前步完整列出，不重印數百萬同義查表項。 步驟識別與依賴規則：Group_ALL_associativity_triples_compact_complete_pair_matrix · 依賴：G001, S002 S004 · implies操作前 source roles = [Kernel ORIGINAL SOURCE group, 0] 操作後 derived = [[0, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [[0, 0, 0, 0], [1, 43, 0, 0], [2, 42, 0, 0], [3, 41, 0, 0], [4, 40, 0, 0], [5, 39, 0, 0], [6, 38, 0, 0], [7, 37, 0, 0], [8, 36, 0, 0], [9, 35, 0, 0], [10, 34, 0, 0], [11, 33, 0, 0], [12, 32, 0, 0], [13, 31, 0, 0], [14, 30, 0, 0], [15, 29, 0, 0], [16, 28, 0, 0], [17, 27, 0, 0], [18, 26, 0, 0], [19, 25, 0, 0], [20, 24, 0, 0], [21, 23, 0, 0], [22, 22, 0, 0], [23, 21, 0, 0], [24, 20, 0, 0], [25, 19, 0, 0], [26, 18, 0, 0], [27, 17, 0, 0], [28, 16, 0, 0], [29, 15, 0, 0], [30, 14, 0, 0], [31, 13, 0, 0], [32, 12, 0, 0], [33, 11, 0, 0], [34, 10, 0, 0], [35, 9, 0, 0], [36, 8, 0, 0], [37, 7, 0, 0], [38, 6, 0, 0], [39, 5, 0, 0], [40, 4, 0, 0], [41, 3, 0, 0], [42, 2, 0, 0], [43, 1, 0, 0]], 是] 條件：無 每個元素的左、右逆都要回到同一實際identity；結合律使兩側逆唯一。這才完成群前提。 步驟識別與依賴規則：Group_ALL_two_sided_inverses · 依賴：G001, S003 S005 · implies操作前 source roles = [Kernel ORIGINAL TARGET group, 64, [[0, 1], [1, 0]], 0] 操作後 derived = [2, [[0, 0, 0, 0], [1, 1, 1, 1]], 是] 條件：無 先驗完整n×n閉合表與實際identity標籤，非預設0。mod44上限32，mod45上限64；同一carrier不能混入另一表。 步驟識別與依賴規則：Group_complete_Cayley_signature_actual_identity · 依賴：G001, S004 S006 · implies操作前 source roles = [Kernel ORIGINAL TARGET group, 2, FOR EVERY x,y,z in0..n-1] 操作後 derived = [[[是, 是], [是, 是]], 8, 是] 條件：無 矩陣(x,y)逐全部z核(xy)z=x(yz)，故涵蓋全部n³三元組，不是抽樣。表已在前步完整列出，不重印數百萬同義查表項。 步驟識別與依賴規則：Group_ALL_associativity_triples_compact_complete_pair_matrix · 依賴：G001, S005 S007 · implies操作前 source roles = [Kernel ORIGINAL TARGET group, 0] 操作後 derived = [[0, 1], [[0, 0, 0, 0], [1, 1, 0, 0]], 是] 條件：無 每個元素的左、右逆都要回到同一實際identity；結合律使兩側逆唯一。這才完成群前提。 步驟識別與依賴規則：Group_ALL_two_sided_inverses · 依賴：G001, S006 S008 · implies操作前 source roles = [[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7], [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8], [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], [17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], [18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], [19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], [20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19], [21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], [22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], [23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22], [24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], [25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24], [26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25], [27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], [28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], [29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28], [30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], [31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], [32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], [33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32], [34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34], [36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35], [37, 38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], [38, 39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37], [39, 40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38], [40, 41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39], [41, 42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40], [42, 43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41], [43, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42]], [[0, 1], [1, 0]], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]] 操作後 derived = [[[0, 0, 0, 0, 是], [0, 1, 1, 1, 是], [0, 2, 0, 0, 是], [0, 3, 1, 1, 是], [0, 4, 0, 0, 是], [0, 5, 1, 1, 是], [0, 6, 0, 0, 是], [0, 7, 1, 1, 是], [0, 8, 0, 0, 是], [0, 9, 1, 1, 是], [0, 10, 0, 0, 是], [0, 11, 1, 1, 是], [0, 12, 0, 0, 是], [0, 13, 1, 1, 是], [0, 14, 0, 0, 是], [0, 15, 1, 1, 是], [0, 16, 0, 0, 是], [0, 17, 1, 1, 是], [0, 18, 0, 0, 是], [0, 19, 1, 1, 是], [0, 20, 0, 0, 是], [0, 21, 1, 1, 是], [0, 22, 0, 0, 是], [0, 23, 1, 1, 是], [0, 24, 0, 0, 是], [0, 25, 1, 1, 是], [0, 26, 0, 0, 是], [0, 27, 1, 1, 是], [0, 28, 0, 0, 是], [0, 29, 1, 1, 是], [0, 30, 0, 0, 是], [0, 31, 1, 1, 是], [0, 32, 0, 0, 是], [0, 33, 1, 1, 是], [0, 34, 0, 0, 是], [0, 35, 1, 1, 是], [0, 36, 0, 0, 是], [0, 37, 1, 1, 是], [0, 38, 0, 0, 是], [0, 39, 1, 1, 是], [0, 40, 0, 0, 是], [0, 41, 1, 1, 是], [0, 42, 0, 0, 是], [0, 43, 1, 1, 是], [1, 0, 1, 1, 是], [1, 1, 0, 0, 是], [1, 2, 1, 1, 是], [1, 3, 0, 0, 是], [1, 4, 1, 1, 是], [1, 5, 0, 0, 是], [1, 6, 1, 1, 是], [1, 7, 0, 0, 是], [1, 8, 1, 1, 是], [1, 9, 0, 0, 是], [1, 10, 1, 1, 是], [1, 11, 0, 0, 是], [1, 12, 1, 1, 是], [1, 13, 0, 0, 是], [1, 14, 1, 1, 是], [1, 15, 0, 0, 是], [1, 16, 1, 1, 是], [1, 17, 0, 0, 是], [1, 18, 1, 1, 是], [1, 19, 0, 0, 是], [1, 20, 1, 1, 是], [1, 21, 0, 0, 是], [1, 22, 1, 1, 是], [1, 23, 0, 0, 是], [1, 24, 1, 1, 是], [1, 25, 0, 0, 是], [1, 26, 1, 1, 是], [1, 27, 0, 0, 是], [1, 28, 1, 1, 是], [1, 29, 0, 0, 是], [1, 30, 1, 1, 是], [1, 31, 0, 0, 是], [1, 32, 1, 1, 是], [1, 33, 0, 0, 是], [1, 34, 1, 1, 是], [1, 35, 0, 0, 是], [1, 36, 1, 1, 是], [1, 37, 0, 0, 是], [1, 38, 1, 1, 是], [1, 39, 0, 0, 是], [1, 40, 1, 1, 是], [1, 41, 0, 0, 是], [1, 42, 1, 1, 是], [1, 43, 0, 0, 是], [2, 0, 0, 0, 是], [2, 1, 1, 1, 是], [2, 2, 0, 0, 是], [2, 3, 1, 1, 是], [2, 4, 0, 0, 是], [2, 5, 1, 1, 是], [2, 6, 0, 0, 是], [2, 7, 1, 1, 是], [2, 8, 0, 0, 是], [2, 9, 1, 1, 是], [2, 10, 0, 0, 是], [2, 11, 1, 1, 是], [2, 12, 0, 0, 是], [2, 13, 1, 1, 是], [2, 14, 0, 0, 是], [2, 15, 1, 1, 是], [2, 16, 0, 0, 是], [2, 17, 1, 1, 是], [2, 18, 0, 0, 是], [2, 19, 1, 1, 是], [2, 20, 0, 0, 是], [2, 21, 1, 1, 是], [2, 22, 0, 0, 是], [2, 23, 1, 1, 是], [2, 24, 0, 0, 是], [2, 25, 1, 1, 是], [2, 26, 0, 0, 是], [2, 27, 1, 1, 是], [2, 28, 0, 0, 是], [2, 29, 1, 1, 是], [2, 30, 0, 0, 是], [2, 31, 1, 1, 是], [2, 32, 0, 0, 是], [2, 33, 1, 1, 是], [2, 34, 0, 0, 是], [2, 35, 1, 1, 是], [2, 36, 0, 0, 是], [2, 37, 1, 1, 是], [2, 38, 0, 0, 是], [2, 39, 1, 1, 是], [2, 40, 0, 0, 是], [2, 41, 1, 1, 是], [2, 42, 0, 0, 是], [2, 43, 1, 1, 是], [3, 0, 1, 1, 是], [3, 1, 0, 0, 是], [3, 2, 1, 1, 是], [3, 3, 0, 0, 是], [3, 4, 1, 1, 是], [3, 5, 0, 0, 是], [3, 6, 1, 1, 是], [3, 7, 0, 0, 是], [3, 8, 1, 1, 是], [3, 9, 0, 0, 是], [3, 10, 1, 1, 是], [3, 11, 0, 0, 是], [3, 12, 1, 1, 是], [3, 13, 0, 0, 是], [3, 14, 1, 1, 是], [3, 15, 0, 0, 是], [3, 16, 1, 1, 是], [3, 17, 0, 0, 是], [3, 18, 1, 1, 是], [3, 19, 0, 0, 是], [3, 20, 1, 1, 是], [3, 21, 0, 0, 是], [3, 22, 1, 1, 是], [3, 23, 0, 0, 是], [3, 24, 1, 1, 是], [3, 25, 0, 0, 是], [3, 26, 1, 1, 是], [3, 27, 0, 0, 是], [3, 28, 1, 1, 是], [3, 29, 0, 0, 是], [3, 30, 1, 1, 是], [3, 31, 0, 0, 是], [3, 32, 1, 1, 是], [3, 33, 0, 0, 是], [3, 34, 1, 1, 是], [3, 35, 0, 0, 是], [3, 36, 1, 1, 是], [3, 37, 0, 0, 是], [3, 38, 1, 1, 是], [3, 39, 0, 0, 是], [3, 40, 1, 1, 是], [3, 41, 0, 0, 是], [3, 42, 1, 1, 是], [3, 43, 0, 0, 是], [4, 0, 0, 0, 是], [4, 1, 1, 1, 是], [4, 2, 0, 0, 是], [4, 3, 1, 1, 是], [4, 4, 0, 0, 是], [4, 5, 1, 1, 是], [4, 6, 0, 0, 是], [4, 7, 1, 1, 是], [4, 8, 0, 0, 是], [4, 9, 1, 1, 是], [4, 10, 0, 0, 是], [4, 11, 1, 1, 是], [4, 12, 0, 0, 是], [4, 13, 1, 1, 是], [4, 14, 0, 0, 是], [4, 15, 1, 1, 是], [4, 16, 0, 0, 是], [4, 17, 1, 1, 是], [4, 18, 0, 0, 是], [4, 19, 1, 1, 是], [4, 20, 0, 0, 是], [4, 21, 1, 1, 是], [4, 22, 0, 0, 是], [4, 23, 1, 1, 是], [4, 24, 0, 0, 是], [4, 25, 1, 1, 是], [4, 26, 0, 0, 是], [4, 27, 1, 1, 是], [4, 28, 0, 0, 是], [4, 29, 1, 1, 是], [4, 30, 0, 0, 是], [4, 31, 1, 1, 是], [4, 32, 0, 0, 是], [4, 33, 1, 1, 是], [4, 34, 0, 0, 是], [4, 35, 1, 1, 是], [4, 36, 0, 0, 是], [4, 37, 1, 1, 是], [4, 38, 0, 0, 是], [4, 39, 1, 1, 是], [4, 40, 0, 0, 是], [4, 41, 1, 1, 是], [4, 42, 0, 0, 是], [4, 43, 1, 1, 是], [5, 0, 1, 1, 是], [5, 1, 0, 0, 是], [5, 2, 1, 1, 是], [5, 3, 0, 0, 是], [5, 4, 1, 1, 是], [5, 5, 0, 0, 是], [5, 6, 1, 1, 是], [5, 7, 0, 0, 是], [5, 8, 1, 1, 是], [5, 9, 0, 0, 是], [5, 10, 1, 1, 是], [5, 11, 0, 0, 是], [5, 12, 1, 1, 是], [5, 13, 0, 0, 是], [5, 14, 1, 1, 是], [5, 15, 0, 0, 是], [5, 16, 1, 1, 是], [5, 17, 0, 0, 是], [5, 18, 1, 1, 是], [5, 19, 0, 0, 是], [5, 20, 1, 1, 是], [5, 21, 0, 0, 是], [5, 22, 1, 1, 是], [5, 23, 0, 0, 是], [5, 24, 1, 1, 是], [5, 25, 0, 0, 是], [5, 26, 1, 1, 是], [5, 27, 0, 0, 是], [5, 28, 1, 1, 是], [5, 29, 0, 0, 是], [5, 30, 1, 1, 是], [5, 31, 0, 0, 是], [5, 32, 1, 1, 是], [5, 33, 0, 0, 是], [5, 34, 1, 1, 是], [5, 35, 0, 0, 是], [5, 36, 1, 1, 是], [5, 37, 0, 0, 是], [5, 38, 1, 1, 是], [5, 39, 0, 0, 是], [5, 40, 1, 1, 是], [5, 41, 0, 0, 是], [5, 42, 1, 1, 是], [5, 43, 0, 0, 是], [6, 0, 0, 0, 是], [6, 1, 1, 1, 是], [6, 2, 0, 0, 是], [6, 3, 1, 1, 是], [6, 4, 0, 0, 是], [6, 5, 1, 1, 是], [6, 6, 0, 0, 是], [6, 7, 1, 1, 是], [6, 8, 0, 0, 是], [6, 9, 1, 1, 是], [6, 10, 0, 0, 是], [6, 11, 1, 1, 是], [6, 12, 0, 0, 是], [6, 13, 1, 1, 是], [6, 14, 0, 0, 是], [6, 15, 1, 1, 是], [6, 16, 0, 0, 是], [6, 17, 1, 1, 是], [6, 18, 0, 0, 是], [6, 19, 1, 1, 是], [6, 20, 0, 0, 是], [6, 21, 1, 1, 是], [6, 22, 0, 0, 是], [6, 23, 1, 1, 是], [6, 24, 0, 0, 是], [6, 25, 1, 1, 是], [6, 26, 0, 0, 是], [6, 27, 1, 1, 是], [6, 28, 0, 0, 是], [6, 29, 1, 1, 是], [6, 30, 0, 0, 是], [6, 31, 1, 1, 是], [6, 32, 0, 0, 是], [6, 33, 1, 1, 是], [6, 34, 0, 0, 是], [6, 35, 1, 1, 是], [6, 36, 0, 0, 是], [6, 37, 1, 1, 是], [6, 38, 0, 0, 是], [6, 39, 1, 1, 是], [6, 40, 0, 0, 是], [6, 41, 1, 1, 是], [6, 42, 0, 0, 是], [6, 43, 1, 1, 是], [7, 0, 1, 1, 是], [7, 1, 0, 0, 是], [7, 2, 1, 1, 是], [7, 3, 0, 0, 是], [7, 4, 1, 1, 是], [7, 5, 0, 0, 是], [7, 6, 1, 1, 是], [7, 7, 0, 0, 是], [7, 8, 1, 1, 是], [7, 9, 0, 0, 是], [7, 10, 1, 1, 是], [7, 11, 0, 0, 是], [7, 12, 1, 1, 是], [7, 13, 0, 0, 是], [7, 14, 1, 1, 是], [7, 15, 0, 0, 是], [7, 16, 1, 1, 是], [7, 17, 0, 0, 是], [7, 18, 1, 1, 是], [7, 19, 0, 0, 是], [7, 20, 1, 1, 是], [7, 21, 0, 0, 是], [7, 22, 1, 1, 是], [7, 23, 0, 0, 是], [7, 24, 1, 1, 是], [7, 25, 0, 0, 是], [7, 26, 1, 1, 是], [7, 27, 0, 0, 是], [7, 28, 1, 1, 是], [7, 29, 0, 0, 是], [7, 30, 1, 1, 是], [7, 31, 0, 0, 是], [7, 32, 1, 1, 是], [7, 33, 0, 0, 是], [7, 34, 1, 1, 是], [7, 35, 0, 0, 是], [7, 36, 1, 1, 是], [7, 37, 0, 0, 是], [7, 38, 1, 1, 是], [7, 39, 0, 0, 是], [7, 40, 1, 1, 是], [7, 41, 0, 0, 是], [7, 42, 1, 1, 是], [7, 43, 0, 0, 是], [8, 0, 0, 0, 是], [8, 1, 1, 1, 是], [8, 2, 0, 0, 是], [8, 3, 1, 1, 是], [8, 4, 0, 0, 是], [8, 5, 1, 1, 是], [8, 6, 0, 0, 是], [8, 7, 1, 1, 是], [8, 8, 0, 0, 是], [8, 9, 1, 1, 是], [8, 10, 0, 0, 是], [8, 11, 1, 1, 是], [8, 12, 0, 0, 是], [8, 13, 1, 1, 是], [8, 14, 0, 0, 是], [8, 15, 1, 1, 是], [8, 16, 0, 0, 是], [8, 17, 1, 1, 是], [8, 18, 0, 0, 是], [8, 19, 1, 1, 是], [8, 20, 0, 0, 是], [8, 21, 1, 1, 是], [8, 22, 0, 0, 是], [8, 23, 1, 1, 是], [8, 24, 0, 0, 是], [8, 25, 1, 1, 是], [8, 26, 0, 0, 是], [8, 27, 1, 1, 是], [8, 28, 0, 0, 是], [8, 29, 1, 1, 是], [8, 30, 0, 0, 是], [8, 31, 1, 1, 是], [8, 32, 0, 0, 是], [8, 33, 1, 1, 是], [8, 34, 0, 0, 是], [8, 35, 1, 1, 是], [8, 36, 0, 0, 是], [8, 37, 1, 1, 是], [8, 38, 0, 0, 是], [8, 39, 1, 1, 是], [8, 40, 0, 0, 是], [8, 41, 1, 1, 是], [8, 42, 0, 0, 是], [8, 43, 1, 1, 是], [9, 0, 1, 1, 是], [9, 1, 0, 0, 是], [9, 2, 1, 1, 是], [9, 3, 0, 0, 是], [9, 4, 1, 1, 是], [9, 5, 0, 0, 是], [9, 6, 1, 1, 是], [9, 7, 0, 0, 是], [9, 8, 1, 1, 是], [9, 9, 0, 0, 是], [9, 10, 1, 1, 是], [9, 11, 0, 0, 是], [9, 12, 1, 1, 是], [9, 13, 0, 0, 是], [9, 14, 1, 1, 是], [9, 15, 0, 0, 是], [9, 16, 1, 1, 是], [9, 17, 0, 0, 是], [9, 18, 1, 1, 是], [9, 19, 0, 0, 是], [9, 20, 1, 1, 是], [9, 21, 0, 0, 是], [9, 22, 1, 1, 是], [9, 23, 0, 0, 是], [9, 24, 1, 1, 是], [9, 25, 0, 0, 是], [9, 26, 1, 1, 是], [9, 27, 0, 0, 是], [9, 28, 1, 1, 是], [9, 29, 0, 0, 是], [9, 30, 1, 1, 是], [9, 31, 0, 0, 是], [9, 32, 1, 1, 是], [9, 33, 0, 0, 是], [9, 34, 1, 1, 是], [9, 35, 0, 0, 是], [9, 36, 1, 1, 是], [9, 37, 0, 0, 是], [9, 38, 1, 1, 是], [9, 39, 0, 0, 是], [9, 40, 1, 1, 是], [9, 41, 0, 0, 是], [9, 42, 1, 1, 是], [9, 43, 0, 0, 是], [10, 0, 0, 0, 是], [10, 1, 1, 1, 是], [10, 2, 0, 0, 是], [10, 3, 1, 1, 是], [10, 4, 0, 0, 是], [10, 5, 1, 1, 是], [10, 6, 0, 0, 是], [10, 7, 1, 1, 是], [10, 8, 0, 0, 是], [10, 9, 1, 1, 是], [10, 10, 0, 0, 是], [10, 11, 1, 1, 是], [10, 12, 0, 0, 是], [10, 13, 1, 1, 是], [10, 14, 0, 0, 是], [10, 15, 1, 1, 是], [10, 16, 0, 0, 是], [10, 17, 1, 1, 是], [10, 18, 0, 0, 是], [10, 19, 1, 1, 是], [10, 20, 0, 0, 是], [10, 21, 1, 1, 是], [10, 22, 0, 0, 是], [10, 23, 1, 1, 是], [10, 24, 0, 0, 是], [10, 25, 1, 1, 是], [10, 26, 0, 0, 是], [10, 27, 1, 1, 是], [10, 28, 0, 0, 是], [10, 29, 1, 1, 是], [10, 30, 0, 0, 是], [10, 31, 1, 1, 是], [10, 32, 0, 0, 是], [10, 33, 1, 1, 是], [10, 34, 0, 0, 是], [10, 35, 1, 1, 是], [10, 36, 0, 0, 是], [10, 37, 1, 1, 是], [10, 38, 0, 0, 是], [10, 39, 1, 1, 是], [10, 40, 0, 0, 是], [10, 41, 1, 1, 是], [10, 42, 0, 0, 是], [10, 43, 1, 1, 是], [11, 0, 1, 1, 是], [11, 1, 0, 0, 是], [11, 2, 1, 1, 是], [11, 3, 0, 0, 是], [11, 4, 1, 1, 是], [11, 5, 0, 0, 是], [11, 6, 1, 1, 是], [11, 7, 0, 0, 是], [11, 8, 1, 1, 是], [11, 9, 0, 0, 是], [11, 10, 1, 1, 是], [11, 11, 0, 0, 是], [11, 12, 1, 1, 是], [11, 13, 0, 0, 是], [11, 14, 1, 1, 是], [11, 15, 0, 0, 是], [11, 16, 1, 1, 是], [11, 17, 0, 0, 是], [11, 18, 1, 1, 是], [11, 19, 0, 0, 是], [11, 20, 1, 1, 是], [11, 21, 0, 0, 是], [11, 22, 1, 1, 是], [11, 23, 0, 0, 是], [11, 24, 1, 1, 是], [11, 25, 0, 0, 是], [11, 26, 1, 1, 是], [11, 27, 0, 0, 是], [11, 28, 1, 1, 是], [11, 29, 0, 0, 是], [11, 30, 1, 1, 是], [11, 31, 0, 0, 是], [11, 32, 1, 1, 是], [11, 33, 0, 0, 是], [11, 34, 1, 1, 是], [11, 35, 0, 0, 是], [11, 36, 1, 1, 是], [11, 37, 0, 0, 是], [11, 38, 1, 1, 是], [11, 39, 0, 0, 是], [11, 40, 1, 1, 是], [11, 41, 0, 0, 是], [11, 42, 1, 1, 是], [11, 43, 0, 0, 是], [12, 0, 0, 0, 是], [12, 1, 1, 1, 是], [12, 2, 0, 0, 是], [12, 3, 1, 1, 是], [12, 4, 0, 0, 是], [12, 5, 1, 1, 是], [12, 6, 0, 0, 是], [12, 7, 1, 1, 是], [12, 8, 0, 0, 是], [12, 9, 1, 1, 是], [12, 10, 0, 0, 是], [12, 11, 1, 1, 是], [12, 12, 0, 0, 是], [12, 13, 1, 1, 是], [12, 14, 0, 0, 是], [12, 15, 1, 1, 是], [12, 16, 0, 0, 是], [12, 17, 1, 1, 是], [12, 18, 0, 0, 是], [12, 19, 1, 1, 是], [12, 20, 0, 0, 是], [12, 21, 1, 1, 是], [12, 22, 0, 0, 是], [12, 23, 1, 1, 是], [12, 24, 0, 0, 是], [12, 25, 1, 1, 是], [12, 26, 0, 0, 是], [12, 27, 1, 1, 是], [12, 28, 0, 0, 是], [12, 29, 1, 1, 是], [12, 30, 0, 0, 是], [12, 31, 1, 1, 是], [12, 32, 0, 0, 是], [12, 33, 1, 1, 是], [12, 34, 0, 0, 是], [12, 35, 1, 1, 是], [12, 36, 0, 0, 是], [12, 37, 1, 1, 是], [12, 38, 0, 0, 是], [12, 39, 1, 1, 是], [12, 40, 0, 0, 是], [12, 41, 1, 1, 是], [12, 42, 0, 0, 是], [12, 43, 1, 1, 是], [13, 0, 1, 1, 是], [13, 1, 0, 0, 是], [13, 2, 1, 1, 是], [13, 3, 0, 0, 是], [13, 4, 1, 1, 是], [13, 5, 0, 0, 是], [13, 6, 1, 1, 是], [13, 7, 0, 0, 是], [13, 8, 1, 1, 是], [13, 9, 0, 0, 是], [13, 10, 1, 1, 是], [13, 11, 0, 0, 是], [13, 12, 1, 1, 是], [13, 13, 0, 0, 是], [13, 14, 1, 1, 是], [13, 15, 0, 0, 是], [13, 16, 1, 1, 是], [13, 17, 0, 0, 是], [13, 18, 1, 1, 是], [13, 19, 0, 0, 是], [13, 20, 1, 1, 是], [13, 21, 0, 0, 是], [13, 22, 1, 1, 是], [13, 23, 0, 0, 是], [13, 24, 1, 1, 是], [13, 25, 0, 0, 是], [13, 26, 1, 1, 是], [13, 27, 0, 0, 是], [13, 28, 1, 1, 是], [13, 29, 0, 0, 是], [13, 30, 1, 1, 是], [13, 31, 0, 0, 是], [13, 32, 1, 1, 是], [13, 33, 0, 0, 是], [13, 34, 1, 1, 是], [13, 35, 0, 0, 是], [13, 36, 1, 1, 是], [13, 37, 0, 0, 是], [13, 38, 1, 1, 是], [13, 39, 0, 0, 是], [13, 40, 1, 1, 是], [13, 41, 0, 0, 是], [13, 42, 1, 1, 是], [13, 43, 0, 0, 是], [14, 0, 0, 0, 是], [14, 1, 1, 1, 是], [14, 2, 0, 0, 是], [14, 3, 1, 1, 是], [14, 4, 0, 0, 是], [14, 5, 1, 1, 是], [14, 6, 0, 0, 是], [14, 7, 1, 1, 是], [14, 8, 0, 0, 是], [14, 9, 1, 1, 是], [14, 10, 0, 0, 是], [14, 11, 1, 1, 是], [14, 12, 0, 0, 是], [14, 13, 1, 1, 是], [14, 14, 0, 0, 是], [14, 15, 1, 1, 是], [14, 16, 0, 0, 是], [14, 17, 1, 1, 是], [14, 18, 0, 0, 是], [14, 19, 1, 1, 是], [14, 20, 0, 0, 是], [14, 21, 1, 1, 是], [14, 22, 0, 0, 是], [14, 23, 1, 1, 是], [14, 24, 0, 0, 是], [14, 25, 1, 1, 是], [14, 26, 0, 0, 是], [14, 27, 1, 1, 是], [14, 28, 0, 0, 是], [14, 29, 1, 1, 是], [14, 30, 0, 0, 是], [14, 31, 1, 1, 是], [14, 32, 0, 0, 是], [14, 33, 1, 1, 是], [14, 34, 0, 0, 是], [14, 35, 1, 1, 是], [14, 36, 0, 0, 是], [14, 37, 1, 1, 是], [14, 38, 0, 0, 是], [14, 39, 1, 1, 是], [14, 40, 0, 0, 是], [14, 41, 1, 1, 是], [14, 42, 0, 0, 是], [14, 43, 1, 1, 是], [15, 0, 1, 1, 是], [15, 1, 0, 0, 是], [15, 2, 1, 1, 是], [15, 3, 0, 0, 是], [15, 4, 1, 1, 是], [15, 5, 0, 0, 是], [15, 6, 1, 1, 是], [15, 7, 0, 0, 是], [15, 8, 1, 1, 是], [15, 9, 0, 0, 是], [15, 10, 1, 1, 是], [15, 11, 0, 0, 是], [15, 12, 1, 1, 是], [15, 13, 0, 0, 是], [15, 14, 1, 1, 是], [15, 15, 0, 0, 是], [15, 16, 1, 1, 是], [15, 17, 0, 0, 是], [15, 18, 1, 1, 是], [15, 19, 0, 0, 是], [15, 20, 1, 1, 是], [15, 21, 0, 0, 是], [15, 22, 1, 1, 是], [15, 23, 0, 0, 是], [15, 24, 1, 1, 是], [15, 25, 0, 0, 是], [15, 26, 1, 1, 是], [15, 27, 0, 0, 是], [15, 28, 1, 1, 是], [15, 29, 0, 0, 是], [15, 30, 1, 1, 是], [15, 31, 0, 0, 是], [15, 32, 1, 1, 是], [15, 33, 0, 0, 是], [15, 34, 1, 1, 是], [15, 35, 0, 0, 是], [15, 36, 1, 1, 是], [15, 37, 0, 0, 是], [15, 38, 1, 1, 是], [15, 39, 0, 0, 是], [15, 40, 1, 1, 是], [15, 41, 0, 0, 是], [15, 42, 1, 1, 是], [15, 43, 0, 0, 是], [16, 0, 0, 0, 是], [16, 1, 1, 1, 是], [16, 2, 0, 0, 是], [16, 3, 1, 1, 是], [16, 4, 0, 0, 是], [16, 5, 1, 1, 是], [16, 6, 0, 0, 是], [16, 7, 1, 1, 是], [16, 8, 0, 0, 是], [16, 9, 1, 1, 是], [16, 10, 0, 0, 是], [16, 11, 1, 1, 是], [16, 12, 0, 0, 是], [16, 13, 1, 1, 是], [16, 14, 0, 0, 是], [16, 15, 1, 1, 是], [16, 16, 0, 0, 是], [16, 17, 1, 1, 是], [16, 18, 0, 0, 是], [16, 19, 1, 1, 是], [16, 20, 0, 0, 是], [16, 21, 1, 1, 是], [16, 22, 0, 0, 是], [16, 23, 1, 1, 是], [16, 24, 0, 0, 是], [16, 25, 1, 1, 是], [16, 26, 0, 0, 是], [16, 27, 1, 1, 是], [16, 28, 0, 0, 是], [16, 29, 1, 1, 是], [16, 30, 0, 0, 是], [16, 31, 1, 1, 是], [16, 32, 0, 0, 是], [16, 33, 1, 1, 是], [16, 34, 0, 0, 是], [16, 35, 1, 1, 是], [16, 36, 0, 0, 是], [16, 37, 1, 1, 是], [16, 38, 0, 0, 是], [16, 39, 1, 1, 是], [16, 40, 0, 0, 是], [16, 41, 1, 1, 是], [16, 42, 0, 0, 是], [16, 43, 1, 1, 是], [17, 0, 1, 1, 是], [17, 1, 0, 0, 是], [17, 2, 1, 1, 是], [17, 3, 0, 0, 是], [17, 4, 1, 1, 是], [17, 5, 0, 0, 是], [17, 6, 1, 1, 是], [17, 7, 0, 0, 是], [17, 8, 1, 1, 是], [17, 9, 0, 0, 是], [17, 10, 1, 1, 是], [17, 11, 0, 0, 是], [17, 12, 1, 1, 是], [17, 13, 0, 0, 是], [17, 14, 1, 1, 是], [17, 15, 0, 0, 是], [17, 16, 1, 1, 是], [17, 17, 0, 0, 是], [17, 18, 1, 1, 是], [17, 19, 0, 0, 是], [17, 20, 1, 1, 是], [17, 21, 0, 0, 是], [17, 22, 1, 1, 是], [17, 23, 0, 0, 是], [17, 24, 1, 1, 是], [17, 25, 0, 0, 是], [17, 26, 1, 1, 是], [17, 27, 0, 0, 是], [17, 28, 1, 1, 是], [17, 29, 0, 0, 是], [17, 30, 1, 1, 是], [17, 31, 0, 0, 是], [17, 32, 1, 1, 是], [17, 33, 0, 0, 是], [17, 34, 1, 1, 是], [17, 35, 0, 0, 是], [17, 36, 1, 1, 是], [17, 37, 0, 0, 是], [17, 38, 1, 1, 是], [17, 39, 0, 0, 是], [17, 40, 1, 1, 是], [17, 41, 0, 0, 是], [17, 42, 1, 1, 是], [17, 43, 0, 0, 是], [18, 0, 0, 0, 是], [18, 1, 1, 1, 是], [18, 2, 0, 0, 是], [18, 3, 1, 1, 是], [18, 4, 0, 0, 是], [18, 5, 1, 1, 是], [18, 6, 0, 0, 是], [18, 7, 1, 1, 是], [18, 8, 0, 0, 是], [18, 9, 1, 1, 是], [18, 10, 0, 0, 是], [18, 11, 1, 1, 是], [18, 12, 0, 0, 是], [18, 13, 1, 1, 是], [18, 14, 0, 0, 是], [18, 15, 1, 1, 是], [18, 16, 0, 0, 是], [18, 17, 1, 1, 是], [18, 18, 0, 0, 是], [18, 19, 1, 1, 是], [18, 20, 0, 0, 是], [18, 21, 1, 1, 是], [18, 22, 0, 0, 是], [18, 23, 1, 1, 是], [18, 24, 0, 0, 是], [18, 25, 1, 1, 是], [18, 26, 0, 0, 是], [18, 27, 1, 1, 是], [18, 28, 0, 0, 是], [18, 29, 1, 1, 是], [18, 30, 0, 0, 是], [18, 31, 1, 1, 是], [18, 32, 0, 0, 是], [18, 33, 1, 1, 是], [18, 34, 0, 0, 是], [18, 35, 1, 1, 是], [18, 36, 0, 0, 是], [18, 37, 1, 1, 是], [18, 38, 0, 0, 是], [18, 39, 1, 1, 是], [18, 40, 0, 0, 是], [18, 41, 1, 1, 是], [18, 42, 0, 0, 是], [18, 43, 1, 1, 是], [19, 0, 1, 1, 是], [19, 1, 0, 0, 是], [19, 2, 1, 1, 是], [19, 3, 0, 0, 是], [19, 4, 1, 1, 是], [19, 5, 0, 0, 是], [19, 6, 1, 1, 是], [19, 7, 0, 0, 是], [19, 8, 1, 1, 是], [19, 9, 0, 0, 是], [19, 10, 1, 1, 是], [19, 11, 0, 0, 是], [19, 12, 1, 1, 是], [19, 13, 0, 0, 是], [19, 14, 1, 1, 是], [19, 15, 0, 0, 是], [19, 16, 1, 1, 是], [19, 17, 0, 0, 是], [19, 18, 1, 1, 是], [19, 19, 0, 0, 是], [19, 20, 1, 1, 是], [19, 21, 0, 0, 是], [19, 22, 1, 1, 是], [19, 23, 0, 0, 是], [19, 24, 1, 1, 是], [19, 25, 0, 0, 是], [19, 26, 1, 1, 是], [19, 27, 0, 0, 是], [19, 28, 1, 1, 是], [19, 29, 0, 0, 是], [19, 30, 1, 1, 是], [19, 31, 0, 0, 是], [19, 32, 1, 1, 是], [19, 33, 0, 0, 是], [19, 34, 1, 1, 是], [19, 35, 0, 0, 是], [19, 36, 1, 1, 是], [19, 37, 0, 0, 是], [19, 38, 1, 1, 是], [19, 39, 0, 0, 是], [19, 40, 1, 1, 是], [19, 41, 0, 0, 是], [19, 42, 1, 1, 是], [19, 43, 0, 0, 是], [20, 0, 0, 0, 是], [20, 1, 1, 1, 是], [20, 2, 0, 0, 是], [20, 3, 1, 1, 是], [20, 4, 0, 0, 是], [20, 5, 1, 1, 是], [20, 6, 0, 0, 是], [20, 7, 1, 1, 是], [20, 8, 0, 0, 是], [20, 9, 1, 1, 是], [20, 10, 0, 0, 是], [20, 11, 1, 1, 是], [20, 12, 0, 0, 是], [20, 13, 1, 1, 是], [20, 14, 0, 0, 是], [20, 15, 1, 1, 是], [20, 16, 0, 0, 是], [20, 17, 1, 1, 是], [20, 18, 0, 0, 是], [20, 19, 1, 1, 是], [20, 20, 0, 0, 是], [20, 21, 1, 1, 是], [20, 22, 0, 0, 是], [20, 23, 1, 1, 是], [20, 24, 0, 0, 是], [20, 25, 1, 1, 是], [20, 26, 0, 0, 是], [20, 27, 1, 1, 是], [20, 28, 0, 0, 是], [20, 29, 1, 1, 是], [20, 30, 0, 0, 是], [20, 31, 1, 1, 是], [20, 32, 0, 0, 是], [20, 33, 1, 1, 是], [20, 34, 0, 0, 是], [20, 35, 1, 1, 是], [20, 36, 0, 0, 是], [20, 37, 1, 1, 是], [20, 38, 0, 0, 是], [20, 39, 1, 1, 是], [20, 40, 0, 0, 是], [20, 41, 1, 1, 是], [20, 42, 0, 0, 是], [20, 43, 1, 1, 是], [21, 0, 1, 1, 是], [21, 1, 0, 0, 是], [21, 2, 1, 1, 是], [21, 3, 0, 0, 是], [21, 4, 1, 1, 是], [21, 5, 0, 0, 是], [21, 6, 1, 1, 是], [21, 7, 0, 0, 是], [21, 8, 1, 1, 是], [21, 9, 0, 0, 是], [21, 10, 1, 1, 是], [21, 11, 0, 0, 是], [21, 12, 1, 1, 是], [21, 13, 0, 0, 是], [21, 14, 1, 1, 是], [21, 15, 0, 0, 是], [21, 16, 1, 1, 是], [21, 17, 0, 0, 是], [21, 18, 1, 1, 是], [21, 19, 0, 0, 是], [21, 20, 1, 1, 是], [21, 21, 0, 0, 是], [21, 22, 1, 1, 是], [21, 23, 0, 0, 是], [21, 24, 1, 1, 是], [21, 25, 0, 0, 是], [21, 26, 1, 1, 是], [21, 27, 0, 0, 是], [21, 28, 1, 1, 是], [21, 29, 0, 0, 是], [21, 30, 1, 1, 是], [21, 31, 0, 0, 是], [21, 32, 1, 1, 是], [21, 33, 0, 0, 是], [21, 34, 1, 1, 是], [21, 35, 0, 0, 是], [21, 36, 1, 1, 是], [21, 37, 0, 0, 是], [21, 38, 1, 1, 是], [21, 39, 0, 0, 是], [21, 40, 1, 1, 是], [21, 41, 0, 0, 是], [21, 42, 1, 1, 是], [21, 43, 0, 0, 是], [22, 0, 0, 0, 是], [22, 1, 1, 1, 是], [22, 2, 0, 0, 是], [22, 3, 1, 1, 是], [22, 4, 0, 0, 是], [22, 5, 1, 1, 是], [22, 6, 0, 0, 是], [22, 7, 1, 1, 是], [22, 8, 0, 0, 是], [22, 9, 1, 1, 是], [22, 10, 0, 0, 是], [22, 11, 1, 1, 是], [22, 12, 0, 0, 是], [22, 13, 1, 1, 是], [22, 14, 0, 0, 是], [22, 15, 1, 1, 是], [22, 16, 0, 0, 是], [22, 17, 1, 1, 是], [22, 18, 0, 0, 是], [22, 19, 1, 1, 是], [22, 20, 0, 0, 是], [22, 21, 1, 1, 是], [22, 22, 0, 0, 是], [22, 23, 1, 1, 是], [22, 24, 0, 0, 是], [22, 25, 1, 1, 是], [22, 26, 0, 0, 是], [22, 27, 1, 1, 是], [22, 28, 0, 0, 是], [22, 29, 1, 1, 是], [22, 30, 0, 0, 是], [22, 31, 1, 1, 是], [22, 32, 0, 0, 是], [22, 33, 1, 1, 是], [22, 34, 0, 0, 是], [22, 35, 1, 1, 是], [22, 36, 0, 0, 是], [22, 37, 1, 1, 是], [22, 38, 0, 0, 是], [22, 39, 1, 1, 是], [22, 40, 0, 0, 是], [22, 41, 1, 1, 是], [22, 42, 0, 0, 是], [22, 43, 1, 1, 是], [23, 0, 1, 1, 是], [23, 1, 0, 0, 是], [23, 2, 1, 1, 是], [23, 3, 0, 0, 是], [23, 4, 1, 1, 是], [23, 5, 0, 0, 是], [23, 6, 1, 1, 是], [23, 7, 0, 0, 是], [23, 8, 1, 1, 是], [23, 9, 0, 0, 是], [23, 10, 1, 1, 是], [23, 11, 0, 0, 是], [23, 12, 1, 1, 是], [23, 13, 0, 0, 是], [23, 14, 1, 1, 是], [23, 15, 0, 0, 是], [23, 16, 1, 1, 是], [23, 17, 0, 0, 是], [23, 18, 1, 1, 是], [23, 19, 0, 0, 是], [23, 20, 1, 1, 是], [23, 21, 0, 0, 是], [23, 22, 1, 1, 是], [23, 23, 0, 0, 是], [23, 24, 1, 1, 是], [23, 25, 0, 0, 是], [23, 26, 1, 1, 是], [23, 27, 0, 0, 是], [23, 28, 1, 1, 是], [23, 29, 0, 0, 是], [23, 30, 1, 1, 是], [23, 31, 0, 0, 是], [23, 32, 1, 1, 是], [23, 33, 0, 0, 是], [23, 34, 1, 1, 是], [23, 35, 0, 0, 是], [23, 36, 1, 1, 是], [23, 37, 0, 0, 是], [23, 38, 1, 1, 是], [23, 39, 0, 0, 是], [23, 40, 1, 1, 是], [23, 41, 0, 0, 是], [23, 42, 1, 1, 是], [23, 43, 0, 0, 是], [24, 0, 0, 0, 是], [24, 1, 1, 1, 是], [24, 2, 0, 0, 是], [24, 3, 1, 1, 是], [24, 4, 0, 0, 是], [24, 5, 1, 1, 是], [24, 6, 0, 0, 是], [24, 7, 1, 1, 是], [24, 8, 0, 0, 是], [24, 9, 1, 1, 是], [24, 10, 0, 0, 是], [24, 11, 1, 1, 是], [24, 12, 0, 0, 是], [24, 13, 1, 1, 是], [24, 14, 0, 0, 是], [24, 15, 1, 1, 是], [24, 16, 0, 0, 是], [24, 17, 1, 1, 是], [24, 18, 0, 0, 是], [24, 19, 1, 1, 是], [24, 20, 0, 0, 是], [24, 21, 1, 1, 是], [24, 22, 0, 0, 是], [24, 23, 1, 1, 是], [24, 24, 0, 0, 是], [24, 25, 1, 1, 是], [24, 26, 0, 0, 是], [24, 27, 1, 1, 是], [24, 28, 0, 0, 是], [24, 29, 1, 1, 是], [24, 30, 0, 0, 是], [24, 31, 1, 1, 是], [24, 32, 0, 0, 是], [24, 33, 1, 1, 是], [24, 34, 0, 0, 是], [24, 35, 1, 1, 是], [24, 36, 0, 0, 是], [24, 37, 1, 1, 是], [24, 38, 0, 0, 是], [24, 39, 1, 1, 是], [24, 40, 0, 0, 是], [24, 41, 1, 1, 是], [24, 42, 0, 0, 是], [24, 43, 1, 1, 是], [25, 0, 1, 1, 是], [25, 1, 0, 0, 是], [25, 2, 1, 1, 是], [25, 3, 0, 0, 是], [25, 4, 1, 1, 是], [25, 5, 0, 0, 是], [25, 6, 1, 1, 是], [25, 7, 0, 0, 是], [25, 8, 1, 1, 是], [25, 9, 0, 0, 是], [25, 10, 1, 1, 是], [25, 11, 0, 0, 是], [25, 12, 1, 1, 是], [25, 13, 0, 0, 是], [25, 14, 1, 1, 是], [25, 15, 0, 0, 是], [25, 16, 1, 1, 是], [25, 17, 0, 0, 是], [25, 18, 1, 1, 是], [25, 19, 0, 0, 是], [25, 20, 1, 1, 是], [25, 21, 0, 0, 是], [25, 22, 1, 1, 是], [25, 23, 0, 0, 是], [25, 24, 1, 1, 是], [25, 25, 0, 0, 是], [25, 26, 1, 1, 是], [25, 27, 0, 0, 是], [25, 28, 1, 1, 是], [25, 29, 0, 0, 是], [25, 30, 1, 1, 是], [25, 31, 0, 0, 是], [25, 32, 1, 1, 是], [25, 33, 0, 0, 是], [25, 34, 1, 1, 是], [25, 35, 0, 0, 是], [25, 36, 1, 1, 是], [25, 37, 0, 0, 是], [25, 38, 1, 1, 是], [25, 39, 0, 0, 是], [25, 40, 1, 1, 是], [25, 41, 0, 0, 是], [25, 42, 1, 1, 是], [25, 43, 0, 0, 是], [26, 0, 0, 0, 是], [26, 1, 1, 1, 是], [26, 2, 0, 0, 是], [26, 3, 1, 1, 是], [26, 4, 0, 0, 是], [26, 5, 1, 1, 是], [26, 6, 0, 0, 是], [26, 7, 1, 1, 是], [26, 8, 0, 0, 是], [26, 9, 1, 1, 是], [26, 10, 0, 0, 是], [26, 11, 1, 1, 是], [26, 12, 0, 0, 是], [26, 13, 1, 1, 是], [26, 14, 0, 0, 是], [26, 15, 1, 1, 是], [26, 16, 0, 0, 是], [26, 17, 1, 1, 是], [26, 18, 0, 0, 是], [26, 19, 1, 1, 是], [26, 20, 0, 0, 是], [26, 21, 1, 1, 是], [26, 22, 0, 0, 是], [26, 23, 1, 1, 是], [26, 24, 0, 0, 是], [26, 25, 1, 1, 是], [26, 26, 0, 0, 是], [26, 27, 1, 1, 是], [26, 28, 0, 0, 是], [26, 29, 1, 1, 是], [26, 30, 0, 0, 是], [26, 31, 1, 1, 是], [26, 32, 0, 0, 是], [26, 33, 1, 1, 是], [26, 34, 0, 0, 是], [26, 35, 1, 1, 是], [26, 36, 0, 0, 是], [26, 37, 1, 1, 是], [26, 38, 0, 0, 是], [26, 39, 1, 1, 是], [26, 40, 0, 0, 是], [26, 41, 1, 1, 是], [26, 42, 0, 0, 是], [26, 43, 1, 1, 是], [27, 0, 1, 1, 是], [27, 1, 0, 0, 是], [27, 2, 1, 1, 是], [27, 3, 0, 0, 是], [27, 4, 1, 1, 是], [27, 5, 0, 0, 是], [27, 6, 1, 1, 是], [27, 7, 0, 0, 是], [27, 8, 1, 1, 是], [27, 9, 0, 0, 是], [27, 10, 1, 1, 是], [27, 11, 0, 0, 是], [27, 12, 1, 1, 是], [27, 13, 0, 0, 是], [27, 14, 1, 1, 是], [27, 15, 0, 0, 是], [27, 16, 1, 1, 是], [27, 17, 0, 0, 是], [27, 18, 1, 1, 是], [27, 19, 0, 0, 是], [27, 20, 1, 1, 是], [27, 21, 0, 0, 是], [27, 22, 1, 1, 是], [27, 23, 0, 0, 是], [27, 24, 1, 1, 是], [27, 25, 0, 0, 是], [27, 26, 1, 1, 是], [27, 27, 0, 0, 是], [27, 28, 1, 1, 是], [27, 29, 0, 0, 是], [27, 30, 1, 1, 是], [27, 31, 0, 0, 是], [27, 32, 1, 1, 是], [27, 33, 0, 0, 是], [27, 34, 1, 1, 是], [27, 35, 0, 0, 是], [27, 36, 1, 1, 是], [27, 37, 0, 0, 是], [27, 38, 1, 1, 是], [27, 39, 0, 0, 是], [27, 40, 1, 1, 是], [27, 41, 0, 0, 是], [27, 42, 1, 1, 是], [27, 43, 0, 0, 是], [28, 0, 0, 0, 是], [28, 1, 1, 1, 是], [28, 2, 0, 0, 是], [28, 3, 1, 1, 是], [28, 4, 0, 0, 是], [28, 5, 1, 1, 是], [28, 6, 0, 0, 是], [28, 7, 1, 1, 是], [28, 8, 0, 0, 是], [28, 9, 1, 1, 是], [28, 10, 0, 0, 是], [28, 11, 1, 1, 是], [28, 12, 0, 0, 是], [28, 13, 1, 1, 是], [28, 14, 0, 0, 是], [28, 15, 1, 1, 是], [28, 16, 0, 0, 是], [28, 17, 1, 1, 是], [28, 18, 0, 0, 是], [28, 19, 1, 1, 是], [28, 20, 0, 0, 是], [28, 21, 1, 1, 是], [28, 22, 0, 0, 是], [28, 23, 1, 1, 是], [28, 24, 0, 0, 是], [28, 25, 1, 1, 是], [28, 26, 0, 0, 是], [28, 27, 1, 1, 是], [28, 28, 0, 0, 是], [28, 29, 1, 1, 是], [28, 30, 0, 0, 是], [28, 31, 1, 1, 是], [28, 32, 0, 0, 是], [28, 33, 1, 1, 是], [28, 34, 0, 0, 是], [28, 35, 1, 1, 是], [28, 36, 0, 0, 是], [28, 37, 1, 1, 是], [28, 38, 0, 0, 是], [28, 39, 1, 1, 是], [28, 40, 0, 0, 是], [28, 41, 1, 1, 是], [28, 42, 0, 0, 是], [28, 43, 1, 1, 是], [29, 0, 1, 1, 是], [29, 1, 0, 0, 是], [29, 2, 1, 1, 是], [29, 3, 0, 0, 是], [29, 4, 1, 1, 是], [29, 5, 0, 0, 是], [29, 6, 1, 1, 是], [29, 7, 0, 0, 是], [29, 8, 1, 1, 是], [29, 9, 0, 0, 是], [29, 10, 1, 1, 是], [29, 11, 0, 0, 是], [29, 12, 1, 1, 是], [29, 13, 0, 0, 是], [29, 14, 1, 1, 是], [29, 15, 0, 0, 是], [29, 16, 1, 1, 是], [29, 17, 0, 0, 是], [29, 18, 1, 1, 是], [29, 19, 0, 0, 是], [29, 20, 1, 1, 是], [29, 21, 0, 0, 是], [29, 22, 1, 1, 是], [29, 23, 0, 0, 是], [29, 24, 1, 1, 是], [29, 25, 0, 0, 是], [29, 26, 1, 1, 是], [29, 27, 0, 0, 是], [29, 28, 1, 1, 是], [29, 29, 0, 0, 是], [29, 30, 1, 1, 是], [29, 31, 0, 0, 是], [29, 32, 1, 1, 是], [29, 33, 0, 0, 是], [29, 34, 1, 1, 是], [29, 35, 0, 0, 是], [29, 36, 1, 1, 是], [29, 37, 0, 0, 是], [29, 38, 1, 1, 是], [29, 39, 0, 0, 是], [29, 40, 1, 1, 是], [29, 41, 0, 0, 是], [29, 42, 1, 1, 是], [29, 43, 0, 0, 是], [30, 0, 0, 0, 是], [30, 1, 1, 1, 是], [30, 2, 0, 0, 是], [30, 3, 1, 1, 是], [30, 4, 0, 0, 是], [30, 5, 1, 1, 是], [30, 6, 0, 0, 是], [30, 7, 1, 1, 是], [30, 8, 0, 0, 是], [30, 9, 1, 1, 是], [30, 10, 0, 0, 是], [30, 11, 1, 1, 是], [30, 12, 0, 0, 是], [30, 13, 1, 1, 是], [30, 14, 0, 0, 是], [30, 15, 1, 1, 是], [30, 16, 0, 0, 是], [30, 17, 1, 1, 是], [30, 18, 0, 0, 是], [30, 19, 1, 1, 是], [30, 20, 0, 0, 是], [30, 21, 1, 1, 是], [30, 22, 0, 0, 是], [30, 23, 1, 1, 是], [30, 24, 0, 0, 是], [30, 25, 1, 1, 是], [30, 26, 0, 0, 是], [30, 27, 1, 1, 是], [30, 28, 0, 0, 是], [30, 29, 1, 1, 是], [30, 30, 0, 0, 是], [30, 31, 1, 1, 是], [30, 32, 0, 0, 是], [30, 33, 1, 1, 是], [30, 34, 0, 0, 是], [30, 35, 1, 1, 是], [30, 36, 0, 0, 是], [30, 37, 1, 1, 是], [30, 38, 0, 0, 是], [30, 39, 1, 1, 是], [30, 40, 0, 0, 是], [30, 41, 1, 1, 是], [30, 42, 0, 0, 是], [30, 43, 1, 1, 是], [31, 0, 1, 1, 是], [31, 1, 0, 0, 是], [31, 2, 1, 1, 是], [31, 3, 0, 0, 是], [31, 4, 1, 1, 是], [31, 5, 0, 0, 是], [31, 6, 1, 1, 是], [31, 7, 0, 0, 是], [31, 8, 1, 1, 是], [31, 9, 0, 0, 是], [31, 10, 1, 1, 是], [31, 11, 0, 0, 是], [31, 12, 1, 1, 是], [31, 13, 0, 0, 是], [31, 14, 1, 1, 是], [31, 15, 0, 0, 是], [31, 16, 1, 1, 是], [31, 17, 0, 0, 是], [31, 18, 1, 1, 是], [31, 19, 0, 0, 是], [31, 20, 1, 1, 是], [31, 21, 0, 0, 是], [31, 22, 1, 1, 是], [31, 23, 0, 0, 是], [31, 24, 1, 1, 是], [31, 25, 0, 0, 是], [31, 26, 1, 1, 是], [31, 27, 0, 0, 是], [31, 28, 1, 1, 是], [31, 29, 0, 0, 是], [31, 30, 1, 1, 是], [31, 31, 0, 0, 是], [31, 32, 1, 1, 是], [31, 33, 0, 0, 是], [31, 34, 1, 1, 是], [31, 35, 0, 0, 是], [31, 36, 1, 1, 是], [31, 37, 0, 0, 是], [31, 38, 1, 1, 是], [31, 39, 0, 0, 是], [31, 40, 1, 1, 是], [31, 41, 0, 0, 是], [31, 42, 1, 1, 是], [31, 43, 0, 0, 是], [32, 0, 0, 0, 是], [32, 1, 1, 1, 是], [32, 2, 0, 0, 是], [32, 3, 1, 1, 是], [32, 4, 0, 0, 是], [32, 5, 1, 1, 是], [32, 6, 0, 0, 是], [32, 7, 1, 1, 是], [32, 8, 0, 0, 是], [32, 9, 1, 1, 是], [32, 10, 0, 0, 是], [32, 11, 1, 1, 是], [32, 12, 0, 0, 是], [32, 13, 1, 1, 是], [32, 14, 0, 0, 是], [32, 15, 1, 1, 是], [32, 16, 0, 0, 是], [32, 17, 1, 1, 是], [32, 18, 0, 0, 是], [32, 19, 1, 1, 是], [32, 20, 0, 0, 是], [32, 21, 1, 1, 是], [32, 22, 0, 0, 是], [32, 23, 1, 1, 是], [32, 24, 0, 0, 是], [32, 25, 1, 1, 是], [32, 26, 0, 0, 是], [32, 27, 1, 1, 是], [32, 28, 0, 0, 是], [32, 29, 1, 1, 是], [32, 30, 0, 0, 是], [32, 31, 1, 1, 是], [32, 32, 0, 0, 是], [32, 33, 1, 1, 是], [32, 34, 0, 0, 是], [32, 35, 1, 1, 是], [32, 36, 0, 0, 是], [32, 37, 1, 1, 是], [32, 38, 0, 0, 是], [32, 39, 1, 1, 是], [32, 40, 0, 0, 是], [32, 41, 1, 1, 是], [32, 42, 0, 0, 是], [32, 43, 1, 1, 是], [33, 0, 1, 1, 是], [33, 1, 0, 0, 是], [33, 2, 1, 1, 是], [33, 3, 0, 0, 是], [33, 4, 1, 1, 是], [33, 5, 0, 0, 是], [33, 6, 1, 1, 是], [33, 7, 0, 0, 是], [33, 8, 1, 1, 是], [33, 9, 0, 0, 是], [33, 10, 1, 1, 是], [33, 11, 0, 0, 是], [33, 12, 1, 1, 是], [33, 13, 0, 0, 是], [33, 14, 1, 1, 是], [33, 15, 0, 0, 是], [33, 16, 1, 1, 是], [33, 17, 0, 0, 是], [33, 18, 1, 1, 是], [33, 19, 0, 0, 是], [33, 20, 1, 1, 是], [33, 21, 0, 0, 是], [33, 22, 1, 1, 是], [33, 23, 0, 0, 是], [33, 24, 1, 1, 是], [33, 25, 0, 0, 是], [33, 26, 1, 1, 是], [33, 27, 0, 0, 是], [33, 28, 1, 1, 是], [33, 29, 0, 0, 是], [33, 30, 1, 1, 是], [33, 31, 0, 0, 是], [33, 32, 1, 1, 是], [33, 33, 0, 0, 是], [33, 34, 1, 1, 是], [33, 35, 0, 0, 是], [33, 36, 1, 1, 是], [33, 37, 0, 0, 是], [33, 38, 1, 1, 是], [33, 39, 0, 0, 是], [33, 40, 1, 1, 是], [33, 41, 0, 0, 是], [33, 42, 1, 1, 是], [33, 43, 0, 0, 是], [34, 0, 0, 0, 是], [34, 1, 1, 1, 是], [34, 2, 0, 0, 是], [34, 3, 1, 1, 是], [34, 4, 0, 0, 是], [34, 5, 1, 1, 是], [34, 6, 0, 0, 是], [34, 7, 1, 1, 是], [34, 8, 0, 0, 是], [34, 9, 1, 1, 是], [34, 10, 0, 0, 是], [34, 11, 1, 1, 是], [34, 12, 0, 0, 是], [34, 13, 1, 1, 是], [34, 14, 0, 0, 是], [34, 15, 1, 1, 是], [34, 16, 0, 0, 是], [34, 17, 1, 1, 是], [34, 18, 0, 0, 是], [34, 19, 1, 1, 是], [34, 20, 0, 0, 是], [34, 21, 1, 1, 是], [34, 22, 0, 0, 是], [34, 23, 1, 1, 是], [34, 24, 0, 0, 是], [34, 25, 1, 1, 是], [34, 26, 0, 0, 是], [34, 27, 1, 1, 是], [34, 28, 0, 0, 是], [34, 29, 1, 1, 是], [34, 30, 0, 0, 是], [34, 31, 1, 1, 是], [34, 32, 0, 0, 是], [34, 33, 1, 1, 是], [34, 34, 0, 0, 是], [34, 35, 1, 1, 是], [34, 36, 0, 0, 是], [34, 37, 1, 1, 是], [34, 38, 0, 0, 是], [34, 39, 1, 1, 是], [34, 40, 0, 0, 是], [34, 41, 1, 1, 是], [34, 42, 0, 0, 是], [34, 43, 1, 1, 是], [35, 0, 1, 1, 是], [35, 1, 0, 0, 是], [35, 2, 1, 1, 是], [35, 3, 0, 0, 是], [35, 4, 1, 1, 是], [35, 5, 0, 0, 是], [35, 6, 1, 1, 是], [35, 7, 0, 0, 是], [35, 8, 1, 1, 是], [35, 9, 0, 0, 是], [35, 10, 1, 1, 是], [35, 11, 0, 0, 是], [35, 12, 1, 1, 是], [35, 13, 0, 0, 是], [35, 14, 1, 1, 是], [35, 15, 0, 0, 是], [35, 16, 1, 1, 是], [35, 17, 0, 0, 是], [35, 18, 1, 1, 是], [35, 19, 0, 0, 是], [35, 20, 1, 1, 是], [35, 21, 0, 0, 是], [35, 22, 1, 1, 是], [35, 23, 0, 0, 是], [35, 24, 1, 1, 是], [35, 25, 0, 0, 是], [35, 26, 1, 1, 是], [35, 27, 0, 0, 是], [35, 28, 1, 1, 是], [35, 29, 0, 0, 是], [35, 30, 1, 1, 是], [35, 31, 0, 0, 是], [35, 32, 1, 1, 是], [35, 33, 0, 0, 是], [35, 34, 1, 1, 是], [35, 35, 0, 0, 是], [35, 36, 1, 1, 是], [35, 37, 0, 0, 是], [35, 38, 1, 1, 是], [35, 39, 0, 0, 是], [35, 40, 1, 1, 是], [35, 41, 0, 0, 是], [35, 42, 1, 1, 是], [35, 43, 0, 0, 是], [36, 0, 0, 0, 是], [36, 1, 1, 1, 是], [36, 2, 0, 0, 是], [36, 3, 1, 1, 是], [36, 4, 0, 0, 是], [36, 5, 1, 1, 是], [36, 6, 0, 0, 是], [36, 7, 1, 1, 是], [36, 8, 0, 0, 是], [36, 9, 1, 1, 是], [36, 10, 0, 0, 是], [36, 11, 1, 1, 是], [36, 12, 0, 0, 是], [36, 13, 1, 1, 是], [36, 14, 0, 0, 是], [36, 15, 1, 1, 是], [36, 16, 0, 0, 是], [36, 17, 1, 1, 是], [36, 18, 0, 0, 是], [36, 19, 1, 1, 是], [36, 20, 0, 0, 是], [36, 21, 1, 1, 是], [36, 22, 0, 0, 是], [36, 23, 1, 1, 是], [36, 24, 0, 0, 是], [36, 25, 1, 1, 是], [36, 26, 0, 0, 是], [36, 27, 1, 1, 是], [36, 28, 0, 0, 是], [36, 29, 1, 1, 是], [36, 30, 0, 0, 是], [36, 31, 1, 1, 是], [36, 32, 0, 0, 是], [36, 33, 1, 1, 是], [36, 34, 0, 0, 是], [36, 35, 1, 1, 是], [36, 36, 0, 0, 是], [36, 37, 1, 1, 是], [36, 38, 0, 0, 是], [36, 39, 1, 1, 是], [36, 40, 0, 0, 是], [36, 41, 1, 1, 是], [36, 42, 0, 0, 是], [36, 43, 1, 1, 是], [37, 0, 1, 1, 是], [37, 1, 0, 0, 是], [37, 2, 1, 1, 是], [37, 3, 0, 0, 是], [37, 4, 1, 1, 是], [37, 5, 0, 0, 是], [37, 6, 1, 1, 是], [37, 7, 0, 0, 是], [37, 8, 1, 1, 是], [37, 9, 0, 0, 是], [37, 10, 1, 1, 是], [37, 11, 0, 0, 是], [37, 12, 1, 1, 是], [37, 13, 0, 0, 是], [37, 14, 1, 1, 是], [37, 15, 0, 0, 是], [37, 16, 1, 1, 是], [37, 17, 0, 0, 是], [37, 18, 1, 1, 是], [37, 19, 0, 0, 是], [37, 20, 1, 1, 是], [37, 21, 0, 0, 是], [37, 22, 1, 1, 是], [37, 23, 0, 0, 是], [37, 24, 1, 1, 是], [37, 25, 0, 0, 是], [37, 26, 1, 1, 是], [37, 27, 0, 0, 是], [37, 28, 1, 1, 是], [37, 29, 0, 0, 是], [37, 30, 1, 1, 是], [37, 31, 0, 0, 是], [37, 32, 1, 1, 是], [37, 33, 0, 0, 是], [37, 34, 1, 1, 是], [37, 35, 0, 0, 是], [37, 36, 1, 1, 是], [37, 37, 0, 0, 是], [37, 38, 1, 1, 是], [37, 39, 0, 0, 是], [37, 40, 1, 1, 是], [37, 41, 0, 0, 是], [37, 42, 1, 1, 是], [37, 43, 0, 0, 是], [38, 0, 0, 0, 是], [38, 1, 1, 1, 是], [38, 2, 0, 0, 是], [38, 3, 1, 1, 是], [38, 4, 0, 0, 是], [38, 5, 1, 1, 是], [38, 6, 0, 0, 是], [38, 7, 1, 1, 是], [38, 8, 0, 0, 是], [38, 9, 1, 1, 是], [38, 10, 0, 0, 是], [38, 11, 1, 1, 是], [38, 12, 0, 0, 是], [38, 13, 1, 1, 是], [38, 14, 0, 0, 是], [38, 15, 1, 1, 是], [38, 16, 0, 0, 是], [38, 17, 1, 1, 是], [38, 18, 0, 0, 是], [38, 19, 1, 1, 是], [38, 20, 0, 0, 是], [38, 21, 1, 1, 是], [38, 22, 0, 0, 是], [38, 23, 1, 1, 是], [38, 24, 0, 0, 是], [38, 25, 1, 1, 是], [38, 26, 0, 0, 是], [38, 27, 1, 1, 是], [38, 28, 0, 0, 是], [38, 29, 1, 1, 是], [38, 30, 0, 0, 是], [38, 31, 1, 1, 是], [38, 32, 0, 0, 是], [38, 33, 1, 1, 是], [38, 34, 0, 0, 是], [38, 35, 1, 1, 是], [38, 36, 0, 0, 是], [38, 37, 1, 1, 是], [38, 38, 0, 0, 是], [38, 39, 1, 1, 是], [38, 40, 0, 0, 是], [38, 41, 1, 1, 是], [38, 42, 0, 0, 是], [38, 43, 1, 1, 是], [39, 0, 1, 1, 是], [39, 1, 0, 0, 是], [39, 2, 1, 1, 是], [39, 3, 0, 0, 是], [39, 4, 1, 1, 是], [39, 5, 0, 0, 是], [39, 6, 1, 1, 是], [39, 7, 0, 0, 是], [39, 8, 1, 1, 是], [39, 9, 0, 0, 是], [39, 10, 1, 1, 是], [39, 11, 0, 0, 是], [39, 12, 1, 1, 是], [39, 13, 0, 0, 是], [39, 14, 1, 1, 是], [39, 15, 0, 0, 是], [39, 16, 1, 1, 是], [39, 17, 0, 0, 是], [39, 18, 1, 1, 是], [39, 19, 0, 0, 是], [39, 20, 1, 1, 是], [39, 21, 0, 0, 是], [39, 22, 1, 1, 是], [39, 23, 0, 0, 是], [39, 24, 1, 1, 是], [39, 25, 0, 0, 是], [39, 26, 1, 1, 是], [39, 27, 0, 0, 是], [39, 28, 1, 1, 是], [39, 29, 0, 0, 是], [39, 30, 1, 1, 是], [39, 31, 0, 0, 是], [39, 32, 1, 1, 是], [39, 33, 0, 0, 是], [39, 34, 1, 1, 是], [39, 35, 0, 0, 是], [39, 36, 1, 1, 是], [39, 37, 0, 0, 是], [39, 38, 1, 1, 是], [39, 39, 0, 0, 是], [39, 40, 1, 1, 是], [39, 41, 0, 0, 是], [39, 42, 1, 1, 是], [39, 43, 0, 0, 是], [40, 0, 0, 0, 是], [40, 1, 1, 1, 是], [40, 2, 0, 0, 是], [40, 3, 1, 1, 是], [40, 4, 0, 0, 是], [40, 5, 1, 1, 是], [40, 6, 0, 0, 是], [40, 7, 1, 1, 是], [40, 8, 0, 0, 是], [40, 9, 1, 1, 是], [40, 10, 0, 0, 是], [40, 11, 1, 1, 是], [40, 12, 0, 0, 是], [40, 13, 1, 1, 是], [40, 14, 0, 0, 是], [40, 15, 1, 1, 是], [40, 16, 0, 0, 是], [40, 17, 1, 1, 是], [40, 18, 0, 0, 是], [40, 19, 1, 1, 是], [40, 20, 0, 0, 是], [40, 21, 1, 1, 是], [40, 22, 0, 0, 是], [40, 23, 1, 1, 是], [40, 24, 0, 0, 是], [40, 25, 1, 1, 是], [40, 26, 0, 0, 是], [40, 27, 1, 1, 是], [40, 28, 0, 0, 是], [40, 29, 1, 1, 是], [40, 30, 0, 0, 是], [40, 31, 1, 1, 是], [40, 32, 0, 0, 是], [40, 33, 1, 1, 是], [40, 34, 0, 0, 是], [40, 35, 1, 1, 是], [40, 36, 0, 0, 是], [40, 37, 1, 1, 是], [40, 38, 0, 0, 是], [40, 39, 1, 1, 是], [40, 40, 0, 0, 是], [40, 41, 1, 1, 是], [40, 42, 0, 0, 是], [40, 43, 1, 1, 是], [41, 0, 1, 1, 是], [41, 1, 0, 0, 是], [41, 2, 1, 1, 是], [41, 3, 0, 0, 是], [41, 4, 1, 1, 是], [41, 5, 0, 0, 是], [41, 6, 1, 1, 是], [41, 7, 0, 0, 是], [41, 8, 1, 1, 是], [41, 9, 0, 0, 是], [41, 10, 1, 1, 是], [41, 11, 0, 0, 是], [41, 12, 1, 1, 是], [41, 13, 0, 0, 是], [41, 14, 1, 1, 是], [41, 15, 0, 0, 是], [41, 16, 1, 1, 是], [41, 17, 0, 0, 是], [41, 18, 1, 1, 是], [41, 19, 0, 0, 是], [41, 20, 1, 1, 是], [41, 21, 0, 0, 是], [41, 22, 1, 1, 是], [41, 23, 0, 0, 是], [41, 24, 1, 1, 是], [41, 25, 0, 0, 是], [41, 26, 1, 1, 是], [41, 27, 0, 0, 是], [41, 28, 1, 1, 是], [41, 29, 0, 0, 是], [41, 30, 1, 1, 是], [41, 31, 0, 0, 是], [41, 32, 1, 1, 是], [41, 33, 0, 0, 是], [41, 34, 1, 1, 是], [41, 35, 0, 0, 是], [41, 36, 1, 1, 是], [41, 37, 0, 0, 是], [41, 38, 1, 1, 是], [41, 39, 0, 0, 是], [41, 40, 1, 1, 是], [41, 41, 0, 0, 是], [41, 42, 1, 1, 是], [41, 43, 0, 0, 是], [42, 0, 0, 0, 是], [42, 1, 1, 1, 是], [42, 2, 0, 0, 是], [42, 3, 1, 1, 是], [42, 4, 0, 0, 是], [42, 5, 1, 1, 是], [42, 6, 0, 0, 是], [42, 7, 1, 1, 是], [42, 8, 0, 0, 是], [42, 9, 1, 1, 是], [42, 10, 0, 0, 是], [42, 11, 1, 1, 是], [42, 12, 0, 0, 是], [42, 13, 1, 1, 是], [42, 14, 0, 0, 是], [42, 15, 1, 1, 是], [42, 16, 0, 0, 是], [42, 17, 1, 1, 是], [42, 18, 0, 0, 是], [42, 19, 1, 1, 是], [42, 20, 0, 0, 是], [42, 21, 1, 1, 是], [42, 22, 0, 0, 是], [42, 23, 1, 1, 是], [42, 24, 0, 0, 是], [42, 25, 1, 1, 是], [42, 26, 0, 0, 是], [42, 27, 1, 1, 是], [42, 28, 0, 0, 是], [42, 29, 1, 1, 是], [42, 30, 0, 0, 是], [42, 31, 1, 1, 是], [42, 32, 0, 0, 是], [42, 33, 1, 1, 是], [42, 34, 0, 0, 是], [42, 35, 1, 1, 是], [42, 36, 0, 0, 是], [42, 37, 1, 1, 是], [42, 38, 0, 0, 是], [42, 39, 1, 1, 是], [42, 40, 0, 0, 是], [42, 41, 1, 1, 是], [42, 42, 0, 0, 是], [42, 43, 1, 1, 是], [43, 0, 1, 1, 是], [43, 1, 0, 0, 是], [43, 2, 1, 1, 是], [43, 3, 0, 0, 是], [43, 4, 1, 1, 是], [43, 5, 0, 0, 是], [43, 6, 1, 1, 是], [43, 7, 0, 0, 是], [43, 8, 1, 1, 是], [43, 9, 0, 0, 是], [43, 10, 1, 1, 是], [43, 11, 0, 0, 是], [43, 12, 1, 1, 是], [43, 13, 0, 0, 是], [43, 14, 1, 1, 是], [43, 15, 0, 0, 是], [43, 16, 1, 1, 是], [43, 17, 0, 0, 是], [43, 18, 1, 1, 是], [43, 19, 0, 0, 是], [43, 20, 1, 1, 是], [43, 21, 0, 0, 是], [43, 22, 1, 1, 是], [43, 23, 0, 0, 是], [43, 24, 1, 1, 是], [43, 25, 0, 0, 是], [43, 26, 1, 1, 是], [43, 27, 0, 0, 是], [43, 28, 1, 1, 是], [43, 29, 0, 0, 是], [43, 30, 1, 1, 是], [43, 31, 0, 0, 是], [43, 32, 1, 1, 是], [43, 33, 0, 0, 是], [43, 34, 1, 1, 是], [43, 35, 0, 0, 是], [43, 36, 1, 1, 是], [43, 37, 0, 0, 是], [43, 38, 1, 1, 是], [43, 39, 0, 0, 是], [43, 40, 1, 1, 是], [43, 41, 0, 0, 是], [43, 42, 1, 1, 是], [43, 43, 0, 0, 是]], 是, null] 條件：無 先對同一source/target每對(x,y)驗f(xy)=f(x)f(y)，保首failed row/null。total map不是homomorphism；失敗即擋所有kernel定理，不把內部fallback當真正identity preimage。 步驟識別與依賴規則：Kernel_complete_TOTAL_map_ALL_product_pairs_before_theorems · 依賴：G001, S007 S009 · implies操作前 source roles = [[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 0, 0] 操作後 derived = [[0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 0, 0] 條件：無 kernel逐全部source元素取目標實際identity的preimage。f(e)=f(e)^2在target群消去得f(e)=e_target，故真kernel非空；不能假設target identity=0。 步驟識別與依賴規則：Kernel_actual_TARGET_identity_complete_preimage · 依賴：G001, S008 S010 · implies操作前 source roles = [Kernel ACTUAL identity preimage, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 0] 操作後 derived = [是, [[0, 0, 0, 是], [0, 2, 2, 是], [0, 4, 4, 是], [0, 6, 6, 是], [0, 8, 8, 是], [0, 10, 10, 是], [0, 12, 12, 是], [0, 14, 14, 是], [0, 16, 16, 是], [0, 18, 18, 是], [0, 20, 20, 是], [0, 22, 22, 是], [0, 24, 24, 是], [0, 26, 26, 是], [0, 28, 28, 是], [0, 30, 30, 是], [0, 32, 32, 是], [0, 34, 34, 是], [0, 36, 36, 是], [0, 38, 38, 是], [0, 40, 40, 是], [0, 42, 42, 是], [2, 0, 2, 是], [2, 2, 4, 是], [2, 4, 6, 是], [2, 6, 8, 是], [2, 8, 10, 是], [2, 10, 12, 是], [2, 12, 14, 是], [2, 14, 16, 是], [2, 16, 18, 是], [2, 18, 20, 是], [2, 20, 22, 是], [2, 22, 24, 是], [2, 24, 26, 是], [2, 26, 28, 是], [2, 28, 30, 是], [2, 30, 32, 是], [2, 32, 34, 是], [2, 34, 36, 是], [2, 36, 38, 是], [2, 38, 40, 是], [2, 40, 42, 是], [2, 42, 0, 是], [4, 0, 4, 是], [4, 2, 6, 是], [4, 4, 8, 是], [4, 6, 10, 是], [4, 8, 12, 是], [4, 10, 14, 是], [4, 12, 16, 是], [4, 14, 18, 是], [4, 16, 20, 是], [4, 18, 22, 是], [4, 20, 24, 是], [4, 22, 26, 是], [4, 24, 28, 是], [4, 26, 30, 是], [4, 28, 32, 是], [4, 30, 34, 是], [4, 32, 36, 是], [4, 34, 38, 是], [4, 36, 40, 是], [4, 38, 42, 是], [4, 40, 0, 是], [4, 42, 2, 是], [6, 0, 6, 是], [6, 2, 8, 是], [6, 4, 10, 是], [6, 6, 12, 是], [6, 8, 14, 是], [6, 10, 16, 是], [6, 12, 18, 是], [6, 14, 20, 是], [6, 16, 22, 是], [6, 18, 24, 是], [6, 20, 26, 是], [6, 22, 28, 是], [6, 24, 30, 是], [6, 26, 32, 是], [6, 28, 34, 是], [6, 30, 36, 是], [6, 32, 38, 是], [6, 34, 40, 是], [6, 36, 42, 是], [6, 38, 0, 是], [6, 40, 2, 是], [6, 42, 4, 是], [8, 0, 8, 是], [8, 2, 10, 是], [8, 4, 12, 是], [8, 6, 14, 是], [8, 8, 16, 是], [8, 10, 18, 是], [8, 12, 20, 是], [8, 14, 22, 是], [8, 16, 24, 是], [8, 18, 26, 是], [8, 20, 28, 是], [8, 22, 30, 是], [8, 24, 32, 是], [8, 26, 34, 是], [8, 28, 36, 是], [8, 30, 38, 是], [8, 32, 40, 是], [8, 34, 42, 是], [8, 36, 0, 是], [8, 38, 2, 是], [8, 40, 4, 是], [8, 42, 6, 是], [10, 0, 10, 是], [10, 2, 12, 是], [10, 4, 14, 是], [10, 6, 16, 是], [10, 8, 18, 是], [10, 10, 20, 是], [10, 12, 22, 是], [10, 14, 24, 是], [10, 16, 26, 是], [10, 18, 28, 是], [10, 20, 30, 是], [10, 22, 32, 是], [10, 24, 34, 是], [10, 26, 36, 是], [10, 28, 38, 是], [10, 30, 40, 是], [10, 32, 42, 是], [10, 34, 0, 是], [10, 36, 2, 是], [10, 38, 4, 是], [10, 40, 6, 是], [10, 42, 8, 是], [12, 0, 12, 是], [12, 2, 14, 是], [12, 4, 16, 是], [12, 6, 18, 是], [12, 8, 20, 是], [12, 10, 22, 是], [12, 12, 24, 是], [12, 14, 26, 是], [12, 16, 28, 是], [12, 18, 30, 是], [12, 20, 32, 是], [12, 22, 34, 是], [12, 24, 36, 是], [12, 26, 38, 是], [12, 28, 40, 是], [12, 30, 42, 是], [12, 32, 0, 是], [12, 34, 2, 是], [12, 36, 4, 是], [12, 38, 6, 是], [12, 40, 8, 是], [12, 42, 10, 是], [14, 0, 14, 是], [14, 2, 16, 是], [14, 4, 18, 是], [14, 6, 20, 是], [14, 8, 22, 是], [14, 10, 24, 是], [14, 12, 26, 是], [14, 14, 28, 是], [14, 16, 30, 是], [14, 18, 32, 是], [14, 20, 34, 是], [14, 22, 36, 是], [14, 24, 38, 是], [14, 26, 40, 是], [14, 28, 42, 是], [14, 30, 0, 是], [14, 32, 2, 是], [14, 34, 4, 是], [14, 36, 6, 是], [14, 38, 8, 是], [14, 40, 10, 是], [14, 42, 12, 是], [16, 0, 16, 是], [16, 2, 18, 是], [16, 4, 20, 是], [16, 6, 22, 是], [16, 8, 24, 是], [16, 10, 26, 是], [16, 12, 28, 是], [16, 14, 30, 是], [16, 16, 32, 是], [16, 18, 34, 是], [16, 20, 36, 是], [16, 22, 38, 是], [16, 24, 40, 是], [16, 26, 42, 是], [16, 28, 0, 是], [16, 30, 2, 是], [16, 32, 4, 是], [16, 34, 6, 是], [16, 36, 8, 是], [16, 38, 10, 是], [16, 40, 12, 是], [16, 42, 14, 是], [18, 0, 18, 是], [18, 2, 20, 是], [18, 4, 22, 是], [18, 6, 24, 是], [18, 8, 26, 是], [18, 10, 28, 是], [18, 12, 30, 是], [18, 14, 32, 是], [18, 16, 34, 是], [18, 18, 36, 是], [18, 20, 38, 是], [18, 22, 40, 是], [18, 24, 42, 是], [18, 26, 0, 是], [18, 28, 2, 是], [18, 30, 4, 是], [18, 32, 6, 是], [18, 34, 8, 是], [18, 36, 10, 是], [18, 38, 12, 是], [18, 40, 14, 是], [18, 42, 16, 是], [20, 0, 20, 是], [20, 2, 22, 是], [20, 4, 24, 是], [20, 6, 26, 是], [20, 8, 28, 是], [20, 10, 30, 是], [20, 12, 32, 是], [20, 14, 34, 是], [20, 16, 36, 是], [20, 18, 38, 是], [20, 20, 40, 是], [20, 22, 42, 是], [20, 24, 0, 是], [20, 26, 2, 是], [20, 28, 4, 是], [20, 30, 6, 是], [20, 32, 8, 是], [20, 34, 10, 是], [20, 36, 12, 是], [20, 38, 14, 是], [20, 40, 16, 是], [20, 42, 18, 是], [22, 0, 22, 是], [22, 2, 24, 是], [22, 4, 26, 是], [22, 6, 28, 是], [22, 8, 30, 是], [22, 10, 32, 是], [22, 12, 34, 是], [22, 14, 36, 是], [22, 16, 38, 是], [22, 18, 40, 是], [22, 20, 42, 是], [22, 22, 0, 是], [22, 24, 2, 是], [22, 26, 4, 是], [22, 28, 6, 是], [22, 30, 8, 是], [22, 32, 10, 是], [22, 34, 12, 是], [22, 36, 14, 是], [22, 38, 16, 是], [22, 40, 18, 是], [22, 42, 20, 是], [24, 0, 24, 是], [24, 2, 26, 是], [24, 4, 28, 是], [24, 6, 30, 是], [24, 8, 32, 是], [24, 10, 34, 是], [24, 12, 36, 是], [24, 14, 38, 是], [24, 16, 40, 是], [24, 18, 42, 是], [24, 20, 0, 是], [24, 22, 2, 是], [24, 24, 4, 是], [24, 26, 6, 是], [24, 28, 8, 是], [24, 30, 10, 是], [24, 32, 12, 是], [24, 34, 14, 是], [24, 36, 16, 是], [24, 38, 18, 是], [24, 40, 20, 是], [24, 42, 22, 是], [26, 0, 26, 是], [26, 2, 28, 是], [26, 4, 30, 是], [26, 6, 32, 是], [26, 8, 34, 是], [26, 10, 36, 是], [26, 12, 38, 是], [26, 14, 40, 是], [26, 16, 42, 是], [26, 18, 0, 是], [26, 20, 2, 是], [26, 22, 4, 是], [26, 24, 6, 是], [26, 26, 8, 是], [26, 28, 10, 是], [26, 30, 12, 是], [26, 32, 14, 是], [26, 34, 16, 是], [26, 36, 18, 是], [26, 38, 20, 是], [26, 40, 22, 是], [26, 42, 24, 是], [28, 0, 28, 是], [28, 2, 30, 是], [28, 4, 32, 是], [28, 6, 34, 是], [28, 8, 36, 是], [28, 10, 38, 是], [28, 12, 40, 是], [28, 14, 42, 是], [28, 16, 0, 是], [28, 18, 2, 是], [28, 20, 4, 是], [28, 22, 6, 是], [28, 24, 8, 是], [28, 26, 10, 是], [28, 28, 12, 是], [28, 30, 14, 是], [28, 32, 16, 是], [28, 34, 18, 是], [28, 36, 20, 是], [28, 38, 22, 是], [28, 40, 24, 是], [28, 42, 26, 是], [30, 0, 30, 是], [30, 2, 32, 是], [30, 4, 34, 是], [30, 6, 36, 是], [30, 8, 38, 是], [30, 10, 40, 是], [30, 12, 42, 是], [30, 14, 0, 是], [30, 16, 2, 是], [30, 18, 4, 是], [30, 20, 6, 是], [30, 22, 8, 是], [30, 24, 10, 是], [30, 26, 12, 是], [30, 28, 14, 是], [30, 30, 16, 是], [30, 32, 18, 是], [30, 34, 20, 是], [30, 36, 22, 是], [30, 38, 24, 是], [30, 40, 26, 是], [30, 42, 28, 是], [32, 0, 32, 是], [32, 2, 34, 是], [32, 4, 36, 是], [32, 6, 38, 是], [32, 8, 40, 是], [32, 10, 42, 是], [32, 12, 0, 是], [32, 14, 2, 是], [32, 16, 4, 是], [32, 18, 6, 是], [32, 20, 8, 是], [32, 22, 10, 是], [32, 24, 12, 是], [32, 26, 14, 是], [32, 28, 16, 是], [32, 30, 18, 是], [32, 32, 20, 是], [32, 34, 22, 是], [32, 36, 24, 是], [32, 38, 26, 是], [32, 40, 28, 是], [32, 42, 30, 是], [34, 0, 34, 是], [34, 2, 36, 是], [34, 4, 38, 是], [34, 6, 40, 是], [34, 8, 42, 是], [34, 10, 0, 是], [34, 12, 2, 是], [34, 14, 4, 是], [34, 16, 6, 是], [34, 18, 8, 是], [34, 20, 10, 是], [34, 22, 12, 是], [34, 24, 14, 是], [34, 26, 16, 是], [34, 28, 18, 是], [34, 30, 20, 是], [34, 32, 22, 是], [34, 34, 24, 是], [34, 36, 26, 是], [34, 38, 28, 是], [34, 40, 30, 是], [34, 42, 32, 是], [36, 0, 36, 是], [36, 2, 38, 是], [36, 4, 40, 是], [36, 6, 42, 是], [36, 8, 0, 是], [36, 10, 2, 是], [36, 12, 4, 是], [36, 14, 6, 是], [36, 16, 8, 是], [36, 18, 10, 是], [36, 20, 12, 是], [36, 22, 14, 是], [36, 24, 16, 是], [36, 26, 18, 是], [36, 28, 20, 是], [36, 30, 22, 是], [36, 32, 24, 是], [36, 34, 26, 是], [36, 36, 28, 是], [36, 38, 30, 是], [36, 40, 32, 是], [36, 42, 34, 是], [38, 0, 38, 是], [38, 2, 40, 是], [38, 4, 42, 是], [38, 6, 0, 是], [38, 8, 2, 是], [38, 10, 4, 是], [38, 12, 6, 是], [38, 14, 8, 是], [38, 16, 10, 是], [38, 18, 12, 是], [38, 20, 14, 是], [38, 22, 16, 是], [38, 24, 18, 是], [38, 26, 20, 是], [38, 28, 22, 是], [38, 30, 24, 是], [38, 32, 26, 是], [38, 34, 28, 是], [38, 36, 30, 是], [38, 38, 32, 是], [38, 40, 34, 是], [38, 42, 36, 是], [40, 0, 40, 是], [40, 2, 42, 是], [40, 4, 0, 是], [40, 6, 2, 是], [40, 8, 4, 是], [40, 10, 6, 是], [40, 12, 8, 是], [40, 14, 10, 是], [40, 16, 12, 是], [40, 18, 14, 是], [40, 20, 16, 是], [40, 22, 18, 是], [40, 24, 20, 是], [40, 26, 22, 是], [40, 28, 24, 是], [40, 30, 26, 是], [40, 32, 28, 是], [40, 34, 30, 是], [40, 36, 32, 是], [40, 38, 34, 是], [40, 40, 36, 是], [40, 42, 38, 是], [42, 0, 42, 是], [42, 2, 0, 是], [42, 4, 2, 是], [42, 6, 4, 是], [42, 8, 6, 是], [42, 10, 8, 是], [42, 12, 10, 是], [42, 14, 12, 是], [42, 16, 14, 是], [42, 18, 16, 是], [42, 20, 18, 是], [42, 22, 20, 是], [42, 24, 22, 是], [42, 26, 24, 是], [42, 28, 26, 是], [42, 30, 28, 是], [42, 32, 30, 是], [42, 34, 32, 是], [42, 36, 34, 是], [42, 38, 36, 是], [42, 40, 38, 是], [42, 42, 40, 是]], 是, [[0, 0, 是], [2, 42, 是], [4, 40, 是], [6, 38, 是], [8, 36, 是], [10, 34, 是], [12, 32, 是], [14, 30, 是], [16, 28, 是], [18, 26, 是], [20, 24, 是], [22, 22, 是], [24, 20, 是], [26, 18, 是], [28, 16, 是], [30, 14, 是], [32, 12, 是], [34, 10, 是], [36, 8, 是], [38, 6, 是], [40, 4, 是], [42, 2, 是]], 是, 是] 條件：無 H非空且無重複；含identity、任兩元素乘積、每個逆元分別核全域，三者合取才可稱subgroup。order divisibility或有限性不足。 步驟識別與依賴規則：Subgroup_identity_ALL_products_ALL_inverses_separate · 依賴：G001, S009 S011 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 0, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 0] 操作後 derived = [[[0, 0, 0, 0], [2, 2, 0, 2], [4, 4, 0, 4], [6, 6, 0, 6], [8, 8, 0, 8], [10, 10, 0, 10], [12, 12, 0, 12], [14, 14, 0, 14], [16, 16, 0, 16], [18, 18, 0, 18], [20, 20, 0, 20], [22, 22, 0, 22], [24, 24, 0, 24], [26, 26, 0, 26], [28, 28, 0, 28], [30, 30, 0, 30], [32, 32, 0, 32], [34, 34, 0, 34], [36, 36, 0, 36], [38, 38, 0, 38], [40, 40, 0, 40], [42, 42, 0, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S010 S012 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 1, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 43] 操作後 derived = [[[0, 1, 43, 0], [2, 3, 43, 2], [4, 5, 43, 4], [6, 7, 43, 6], [8, 9, 43, 8], [10, 11, 43, 10], [12, 13, 43, 12], [14, 15, 43, 14], [16, 17, 43, 16], [18, 19, 43, 18], [20, 21, 43, 20], [22, 23, 43, 22], [24, 25, 43, 24], [26, 27, 43, 26], [28, 29, 43, 28], [30, 31, 43, 30], [32, 33, 43, 32], [34, 35, 43, 34], [36, 37, 43, 36], [38, 39, 43, 38], [40, 41, 43, 40], [42, 43, 43, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S011 S013 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 2, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 42] 操作後 derived = [[[0, 2, 42, 0], [2, 4, 42, 2], [4, 6, 42, 4], [6, 8, 42, 6], [8, 10, 42, 8], [10, 12, 42, 10], [12, 14, 42, 12], [14, 16, 42, 14], [16, 18, 42, 16], [18, 20, 42, 18], [20, 22, 42, 20], [22, 24, 42, 22], [24, 26, 42, 24], [26, 28, 42, 26], [28, 30, 42, 28], [30, 32, 42, 30], [32, 34, 42, 32], [34, 36, 42, 34], [36, 38, 42, 36], [38, 40, 42, 38], [40, 42, 42, 40], [42, 0, 42, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S012 S014 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 3, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 41] 操作後 derived = [[[0, 3, 41, 0], [2, 5, 41, 2], [4, 7, 41, 4], [6, 9, 41, 6], [8, 11, 41, 8], [10, 13, 41, 10], [12, 15, 41, 12], [14, 17, 41, 14], [16, 19, 41, 16], [18, 21, 41, 18], [20, 23, 41, 20], [22, 25, 41, 22], [24, 27, 41, 24], [26, 29, 41, 26], [28, 31, 41, 28], [30, 33, 41, 30], [32, 35, 41, 32], [34, 37, 41, 34], [36, 39, 41, 36], [38, 41, 41, 38], [40, 43, 41, 40], [42, 1, 41, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S013 S015 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 4, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 40] 操作後 derived = [[[0, 4, 40, 0], [2, 6, 40, 2], [4, 8, 40, 4], [6, 10, 40, 6], [8, 12, 40, 8], [10, 14, 40, 10], [12, 16, 40, 12], [14, 18, 40, 14], [16, 20, 40, 16], [18, 22, 40, 18], [20, 24, 40, 20], [22, 26, 40, 22], [24, 28, 40, 24], [26, 30, 40, 26], [28, 32, 40, 28], [30, 34, 40, 30], [32, 36, 40, 32], [34, 38, 40, 34], [36, 40, 40, 36], [38, 42, 40, 38], [40, 0, 40, 40], [42, 2, 40, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S014 S016 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 5, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 39] 操作後 derived = [[[0, 5, 39, 0], [2, 7, 39, 2], [4, 9, 39, 4], [6, 11, 39, 6], [8, 13, 39, 8], [10, 15, 39, 10], [12, 17, 39, 12], [14, 19, 39, 14], [16, 21, 39, 16], [18, 23, 39, 18], [20, 25, 39, 20], [22, 27, 39, 22], [24, 29, 39, 24], [26, 31, 39, 26], [28, 33, 39, 28], [30, 35, 39, 30], [32, 37, 39, 32], [34, 39, 39, 34], [36, 41, 39, 36], [38, 43, 39, 38], [40, 1, 39, 40], [42, 3, 39, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S015 S017 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 6, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 38] 操作後 derived = [[[0, 6, 38, 0], [2, 8, 38, 2], [4, 10, 38, 4], [6, 12, 38, 6], [8, 14, 38, 8], [10, 16, 38, 10], [12, 18, 38, 12], [14, 20, 38, 14], [16, 22, 38, 16], [18, 24, 38, 18], [20, 26, 38, 20], [22, 28, 38, 22], [24, 30, 38, 24], [26, 32, 38, 26], [28, 34, 38, 28], [30, 36, 38, 30], [32, 38, 38, 32], [34, 40, 38, 34], [36, 42, 38, 36], [38, 0, 38, 38], [40, 2, 38, 40], [42, 4, 38, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S016 S018 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 7, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 37] 操作後 derived = [[[0, 7, 37, 0], [2, 9, 37, 2], [4, 11, 37, 4], [6, 13, 37, 6], [8, 15, 37, 8], [10, 17, 37, 10], [12, 19, 37, 12], [14, 21, 37, 14], [16, 23, 37, 16], [18, 25, 37, 18], [20, 27, 37, 20], [22, 29, 37, 22], [24, 31, 37, 24], [26, 33, 37, 26], [28, 35, 37, 28], [30, 37, 37, 30], [32, 39, 37, 32], [34, 41, 37, 34], [36, 43, 37, 36], [38, 1, 37, 38], [40, 3, 37, 40], [42, 5, 37, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S017 S019 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 8, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 36] 操作後 derived = [[[0, 8, 36, 0], [2, 10, 36, 2], [4, 12, 36, 4], [6, 14, 36, 6], [8, 16, 36, 8], [10, 18, 36, 10], [12, 20, 36, 12], [14, 22, 36, 14], [16, 24, 36, 16], [18, 26, 36, 18], [20, 28, 36, 20], [22, 30, 36, 22], [24, 32, 36, 24], [26, 34, 36, 26], [28, 36, 36, 28], [30, 38, 36, 30], [32, 40, 36, 32], [34, 42, 36, 34], [36, 0, 36, 36], [38, 2, 36, 38], [40, 4, 36, 40], [42, 6, 36, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S018 S020 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 9, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 35] 操作後 derived = [[[0, 9, 35, 0], [2, 11, 35, 2], [4, 13, 35, 4], [6, 15, 35, 6], [8, 17, 35, 8], [10, 19, 35, 10], [12, 21, 35, 12], [14, 23, 35, 14], [16, 25, 35, 16], [18, 27, 35, 18], [20, 29, 35, 20], [22, 31, 35, 22], [24, 33, 35, 24], [26, 35, 35, 26], [28, 37, 35, 28], [30, 39, 35, 30], [32, 41, 35, 32], [34, 43, 35, 34], [36, 1, 35, 36], [38, 3, 35, 38], [40, 5, 35, 40], [42, 7, 35, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S019 S021 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 10, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 34] 操作後 derived = [[[0, 10, 34, 0], [2, 12, 34, 2], [4, 14, 34, 4], [6, 16, 34, 6], [8, 18, 34, 8], [10, 20, 34, 10], [12, 22, 34, 12], [14, 24, 34, 14], [16, 26, 34, 16], [18, 28, 34, 18], [20, 30, 34, 20], [22, 32, 34, 22], [24, 34, 34, 24], [26, 36, 34, 26], [28, 38, 34, 28], [30, 40, 34, 30], [32, 42, 34, 32], [34, 0, 34, 34], [36, 2, 34, 36], [38, 4, 34, 38], [40, 6, 34, 40], [42, 8, 34, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S020 S022 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 11, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 33] 操作後 derived = [[[0, 11, 33, 0], [2, 13, 33, 2], [4, 15, 33, 4], [6, 17, 33, 6], [8, 19, 33, 8], [10, 21, 33, 10], [12, 23, 33, 12], [14, 25, 33, 14], [16, 27, 33, 16], [18, 29, 33, 18], [20, 31, 33, 20], [22, 33, 33, 22], [24, 35, 33, 24], [26, 37, 33, 26], [28, 39, 33, 28], [30, 41, 33, 30], [32, 43, 33, 32], [34, 1, 33, 34], [36, 3, 33, 36], [38, 5, 33, 38], [40, 7, 33, 40], [42, 9, 33, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S021 S023 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 12, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 32] 操作後 derived = [[[0, 12, 32, 0], [2, 14, 32, 2], [4, 16, 32, 4], [6, 18, 32, 6], [8, 20, 32, 8], [10, 22, 32, 10], [12, 24, 32, 12], [14, 26, 32, 14], [16, 28, 32, 16], [18, 30, 32, 18], [20, 32, 32, 20], [22, 34, 32, 22], [24, 36, 32, 24], [26, 38, 32, 26], [28, 40, 32, 28], [30, 42, 32, 30], [32, 0, 32, 32], [34, 2, 32, 34], [36, 4, 32, 36], [38, 6, 32, 38], [40, 8, 32, 40], [42, 10, 32, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S022 S024 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 13, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 31] 操作後 derived = [[[0, 13, 31, 0], [2, 15, 31, 2], [4, 17, 31, 4], [6, 19, 31, 6], [8, 21, 31, 8], [10, 23, 31, 10], [12, 25, 31, 12], [14, 27, 31, 14], [16, 29, 31, 16], [18, 31, 31, 18], [20, 33, 31, 20], [22, 35, 31, 22], [24, 37, 31, 24], [26, 39, 31, 26], [28, 41, 31, 28], [30, 43, 31, 30], [32, 1, 31, 32], [34, 3, 31, 34], [36, 5, 31, 36], [38, 7, 31, 38], [40, 9, 31, 40], [42, 11, 31, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S023 S025 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 14, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 30] 操作後 derived = [[[0, 14, 30, 0], [2, 16, 30, 2], [4, 18, 30, 4], [6, 20, 30, 6], [8, 22, 30, 8], [10, 24, 30, 10], [12, 26, 30, 12], [14, 28, 30, 14], [16, 30, 30, 16], [18, 32, 30, 18], [20, 34, 30, 20], [22, 36, 30, 22], [24, 38, 30, 24], [26, 40, 30, 26], [28, 42, 30, 28], [30, 0, 30, 30], [32, 2, 30, 32], [34, 4, 30, 34], [36, 6, 30, 36], [38, 8, 30, 38], [40, 10, 30, 40], [42, 12, 30, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S024 S026 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 15, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 29] 操作後 derived = [[[0, 15, 29, 0], [2, 17, 29, 2], [4, 19, 29, 4], [6, 21, 29, 6], [8, 23, 29, 8], [10, 25, 29, 10], [12, 27, 29, 12], [14, 29, 29, 14], [16, 31, 29, 16], [18, 33, 29, 18], [20, 35, 29, 20], [22, 37, 29, 22], [24, 39, 29, 24], [26, 41, 29, 26], [28, 43, 29, 28], [30, 1, 29, 30], [32, 3, 29, 32], [34, 5, 29, 34], [36, 7, 29, 36], [38, 9, 29, 38], [40, 11, 29, 40], [42, 13, 29, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S025 S027 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 16, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 28] 操作後 derived = [[[0, 16, 28, 0], [2, 18, 28, 2], [4, 20, 28, 4], [6, 22, 28, 6], [8, 24, 28, 8], [10, 26, 28, 10], [12, 28, 28, 12], [14, 30, 28, 14], [16, 32, 28, 16], [18, 34, 28, 18], [20, 36, 28, 20], [22, 38, 28, 22], [24, 40, 28, 24], [26, 42, 28, 26], [28, 0, 28, 28], [30, 2, 28, 30], [32, 4, 28, 32], [34, 6, 28, 34], [36, 8, 28, 36], [38, 10, 28, 38], [40, 12, 28, 40], [42, 14, 28, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S026 S028 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 17, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 27] 操作後 derived = [[[0, 17, 27, 0], [2, 19, 27, 2], [4, 21, 27, 4], [6, 23, 27, 6], [8, 25, 27, 8], [10, 27, 27, 10], [12, 29, 27, 12], [14, 31, 27, 14], [16, 33, 27, 16], [18, 35, 27, 18], [20, 37, 27, 20], [22, 39, 27, 22], [24, 41, 27, 24], [26, 43, 27, 26], [28, 1, 27, 28], [30, 3, 27, 30], [32, 5, 27, 32], [34, 7, 27, 34], [36, 9, 27, 36], [38, 11, 27, 38], [40, 13, 27, 40], [42, 15, 27, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S027 S029 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 18, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 26] 操作後 derived = [[[0, 18, 26, 0], [2, 20, 26, 2], [4, 22, 26, 4], [6, 24, 26, 6], [8, 26, 26, 8], [10, 28, 26, 10], [12, 30, 26, 12], [14, 32, 26, 14], [16, 34, 26, 16], [18, 36, 26, 18], [20, 38, 26, 20], [22, 40, 26, 22], [24, 42, 26, 24], [26, 0, 26, 26], [28, 2, 26, 28], [30, 4, 26, 30], [32, 6, 26, 32], [34, 8, 26, 34], [36, 10, 26, 36], [38, 12, 26, 38], [40, 14, 26, 40], [42, 16, 26, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S028 S030 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 19, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 25] 操作後 derived = [[[0, 19, 25, 0], [2, 21, 25, 2], [4, 23, 25, 4], [6, 25, 25, 6], [8, 27, 25, 8], [10, 29, 25, 10], [12, 31, 25, 12], [14, 33, 25, 14], [16, 35, 25, 16], [18, 37, 25, 18], [20, 39, 25, 20], [22, 41, 25, 22], [24, 43, 25, 24], [26, 1, 25, 26], [28, 3, 25, 28], [30, 5, 25, 30], [32, 7, 25, 32], [34, 9, 25, 34], [36, 11, 25, 36], [38, 13, 25, 38], [40, 15, 25, 40], [42, 17, 25, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S029 S031 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 20, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 24] 操作後 derived = [[[0, 20, 24, 0], [2, 22, 24, 2], [4, 24, 24, 4], [6, 26, 24, 6], [8, 28, 24, 8], [10, 30, 24, 10], [12, 32, 24, 12], [14, 34, 24, 14], [16, 36, 24, 16], [18, 38, 24, 18], [20, 40, 24, 20], [22, 42, 24, 22], [24, 0, 24, 24], [26, 2, 24, 26], [28, 4, 24, 28], [30, 6, 24, 30], [32, 8, 24, 32], [34, 10, 24, 34], [36, 12, 24, 36], [38, 14, 24, 38], [40, 16, 24, 40], [42, 18, 24, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S030 S032 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 21, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 23] 操作後 derived = [[[0, 21, 23, 0], [2, 23, 23, 2], [4, 25, 23, 4], [6, 27, 23, 6], [8, 29, 23, 8], [10, 31, 23, 10], [12, 33, 23, 12], [14, 35, 23, 14], [16, 37, 23, 16], [18, 39, 23, 18], [20, 41, 23, 20], [22, 43, 23, 22], [24, 1, 23, 24], [26, 3, 23, 26], [28, 5, 23, 28], [30, 7, 23, 30], [32, 9, 23, 32], [34, 11, 23, 34], [36, 13, 23, 36], [38, 15, 23, 38], [40, 17, 23, 40], [42, 19, 23, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S031 S033 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 22, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 22] 操作後 derived = [[[0, 22, 22, 0], [2, 24, 22, 2], [4, 26, 22, 4], [6, 28, 22, 6], [8, 30, 22, 8], [10, 32, 22, 10], [12, 34, 22, 12], [14, 36, 22, 14], [16, 38, 22, 16], [18, 40, 22, 18], [20, 42, 22, 20], [22, 0, 22, 22], [24, 2, 22, 24], [26, 4, 22, 26], [28, 6, 22, 28], [30, 8, 22, 30], [32, 10, 22, 32], [34, 12, 22, 34], [36, 14, 22, 36], [38, 16, 22, 38], [40, 18, 22, 40], [42, 20, 22, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S032 S034 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 23, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 21] 操作後 derived = [[[0, 23, 21, 0], [2, 25, 21, 2], [4, 27, 21, 4], [6, 29, 21, 6], [8, 31, 21, 8], [10, 33, 21, 10], [12, 35, 21, 12], [14, 37, 21, 14], [16, 39, 21, 16], [18, 41, 21, 18], [20, 43, 21, 20], [22, 1, 21, 22], [24, 3, 21, 24], [26, 5, 21, 26], [28, 7, 21, 28], [30, 9, 21, 30], [32, 11, 21, 32], [34, 13, 21, 34], [36, 15, 21, 36], [38, 17, 21, 38], [40, 19, 21, 40], [42, 21, 21, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S033 S035 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 24, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 20] 操作後 derived = [[[0, 24, 20, 0], [2, 26, 20, 2], [4, 28, 20, 4], [6, 30, 20, 6], [8, 32, 20, 8], [10, 34, 20, 10], [12, 36, 20, 12], [14, 38, 20, 14], [16, 40, 20, 16], [18, 42, 20, 18], [20, 0, 20, 20], [22, 2, 20, 22], [24, 4, 20, 24], [26, 6, 20, 26], [28, 8, 20, 28], [30, 10, 20, 30], [32, 12, 20, 32], [34, 14, 20, 34], [36, 16, 20, 36], [38, 18, 20, 38], [40, 20, 20, 40], [42, 22, 20, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S034 S036 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 25, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 19] 操作後 derived = [[[0, 25, 19, 0], [2, 27, 19, 2], [4, 29, 19, 4], [6, 31, 19, 6], [8, 33, 19, 8], [10, 35, 19, 10], [12, 37, 19, 12], [14, 39, 19, 14], [16, 41, 19, 16], [18, 43, 19, 18], [20, 1, 19, 20], [22, 3, 19, 22], [24, 5, 19, 24], [26, 7, 19, 26], [28, 9, 19, 28], [30, 11, 19, 30], [32, 13, 19, 32], [34, 15, 19, 34], [36, 17, 19, 36], [38, 19, 19, 38], [40, 21, 19, 40], [42, 23, 19, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S035 S037 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 26, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 18] 操作後 derived = [[[0, 26, 18, 0], [2, 28, 18, 2], [4, 30, 18, 4], [6, 32, 18, 6], [8, 34, 18, 8], [10, 36, 18, 10], [12, 38, 18, 12], [14, 40, 18, 14], [16, 42, 18, 16], [18, 0, 18, 18], [20, 2, 18, 20], [22, 4, 18, 22], [24, 6, 18, 24], [26, 8, 18, 26], [28, 10, 18, 28], [30, 12, 18, 30], [32, 14, 18, 32], [34, 16, 18, 34], [36, 18, 18, 36], [38, 20, 18, 38], [40, 22, 18, 40], [42, 24, 18, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S036 S038 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 27, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 17] 操作後 derived = [[[0, 27, 17, 0], [2, 29, 17, 2], [4, 31, 17, 4], [6, 33, 17, 6], [8, 35, 17, 8], [10, 37, 17, 10], [12, 39, 17, 12], [14, 41, 17, 14], [16, 43, 17, 16], [18, 1, 17, 18], [20, 3, 17, 20], [22, 5, 17, 22], [24, 7, 17, 24], [26, 9, 17, 26], [28, 11, 17, 28], [30, 13, 17, 30], [32, 15, 17, 32], [34, 17, 17, 34], [36, 19, 17, 36], [38, 21, 17, 38], [40, 23, 17, 40], [42, 25, 17, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S037 S039 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 28, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 16] 操作後 derived = [[[0, 28, 16, 0], [2, 30, 16, 2], [4, 32, 16, 4], [6, 34, 16, 6], [8, 36, 16, 8], [10, 38, 16, 10], [12, 40, 16, 12], [14, 42, 16, 14], [16, 0, 16, 16], [18, 2, 16, 18], [20, 4, 16, 20], [22, 6, 16, 22], [24, 8, 16, 24], [26, 10, 16, 26], [28, 12, 16, 28], [30, 14, 16, 30], [32, 16, 16, 32], [34, 18, 16, 34], [36, 20, 16, 36], [38, 22, 16, 38], [40, 24, 16, 40], [42, 26, 16, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S038 S040 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 29, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 15] 操作後 derived = [[[0, 29, 15, 0], [2, 31, 15, 2], [4, 33, 15, 4], [6, 35, 15, 6], [8, 37, 15, 8], [10, 39, 15, 10], [12, 41, 15, 12], [14, 43, 15, 14], [16, 1, 15, 16], [18, 3, 15, 18], [20, 5, 15, 20], [22, 7, 15, 22], [24, 9, 15, 24], [26, 11, 15, 26], [28, 13, 15, 28], [30, 15, 15, 30], [32, 17, 15, 32], [34, 19, 15, 34], [36, 21, 15, 36], [38, 23, 15, 38], [40, 25, 15, 40], [42, 27, 15, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S039 S041 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 30, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 14] 操作後 derived = [[[0, 30, 14, 0], [2, 32, 14, 2], [4, 34, 14, 4], [6, 36, 14, 6], [8, 38, 14, 8], [10, 40, 14, 10], [12, 42, 14, 12], [14, 0, 14, 14], [16, 2, 14, 16], [18, 4, 14, 18], [20, 6, 14, 20], [22, 8, 14, 22], [24, 10, 14, 24], [26, 12, 14, 26], [28, 14, 14, 28], [30, 16, 14, 30], [32, 18, 14, 32], [34, 20, 14, 34], [36, 22, 14, 36], [38, 24, 14, 38], [40, 26, 14, 40], [42, 28, 14, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S040 S042 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 31, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 13] 操作後 derived = [[[0, 31, 13, 0], [2, 33, 13, 2], [4, 35, 13, 4], [6, 37, 13, 6], [8, 39, 13, 8], [10, 41, 13, 10], [12, 43, 13, 12], [14, 1, 13, 14], [16, 3, 13, 16], [18, 5, 13, 18], [20, 7, 13, 20], [22, 9, 13, 22], [24, 11, 13, 24], [26, 13, 13, 26], [28, 15, 13, 28], [30, 17, 13, 30], [32, 19, 13, 32], [34, 21, 13, 34], [36, 23, 13, 36], [38, 25, 13, 38], [40, 27, 13, 40], [42, 29, 13, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S041 S043 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 32, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 12] 操作後 derived = [[[0, 32, 12, 0], [2, 34, 12, 2], [4, 36, 12, 4], [6, 38, 12, 6], [8, 40, 12, 8], [10, 42, 12, 10], [12, 0, 12, 12], [14, 2, 12, 14], [16, 4, 12, 16], [18, 6, 12, 18], [20, 8, 12, 20], [22, 10, 12, 22], [24, 12, 12, 24], [26, 14, 12, 26], [28, 16, 12, 28], [30, 18, 12, 30], [32, 20, 12, 32], [34, 22, 12, 34], [36, 24, 12, 36], [38, 26, 12, 38], [40, 28, 12, 40], [42, 30, 12, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S042 S044 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 33, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 11] 操作後 derived = [[[0, 33, 11, 0], [2, 35, 11, 2], [4, 37, 11, 4], [6, 39, 11, 6], [8, 41, 11, 8], [10, 43, 11, 10], [12, 1, 11, 12], [14, 3, 11, 14], [16, 5, 11, 16], [18, 7, 11, 18], [20, 9, 11, 20], [22, 11, 11, 22], [24, 13, 11, 24], [26, 15, 11, 26], [28, 17, 11, 28], [30, 19, 11, 30], [32, 21, 11, 32], [34, 23, 11, 34], [36, 25, 11, 36], [38, 27, 11, 38], [40, 29, 11, 40], [42, 31, 11, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S043 S045 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 34, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 10] 操作後 derived = [[[0, 34, 10, 0], [2, 36, 10, 2], [4, 38, 10, 4], [6, 40, 10, 6], [8, 42, 10, 8], [10, 0, 10, 10], [12, 2, 10, 12], [14, 4, 10, 14], [16, 6, 10, 16], [18, 8, 10, 18], [20, 10, 10, 20], [22, 12, 10, 22], [24, 14, 10, 24], [26, 16, 10, 26], [28, 18, 10, 28], [30, 20, 10, 30], [32, 22, 10, 32], [34, 24, 10, 34], [36, 26, 10, 36], [38, 28, 10, 38], [40, 30, 10, 40], [42, 32, 10, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S044 S046 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 35, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 9] 操作後 derived = [[[0, 35, 9, 0], [2, 37, 9, 2], [4, 39, 9, 4], [6, 41, 9, 6], [8, 43, 9, 8], [10, 1, 9, 10], [12, 3, 9, 12], [14, 5, 9, 14], [16, 7, 9, 16], [18, 9, 9, 18], [20, 11, 9, 20], [22, 13, 9, 22], [24, 15, 9, 24], [26, 17, 9, 26], [28, 19, 9, 28], [30, 21, 9, 30], [32, 23, 9, 32], [34, 25, 9, 34], [36, 27, 9, 36], [38, 29, 9, 38], [40, 31, 9, 40], [42, 33, 9, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S045 S047 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 36, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 8] 操作後 derived = [[[0, 36, 8, 0], [2, 38, 8, 2], [4, 40, 8, 4], [6, 42, 8, 6], [8, 0, 8, 8], [10, 2, 8, 10], [12, 4, 8, 12], [14, 6, 8, 14], [16, 8, 8, 16], [18, 10, 8, 18], [20, 12, 8, 20], [22, 14, 8, 22], [24, 16, 8, 24], [26, 18, 8, 26], [28, 20, 8, 28], [30, 22, 8, 30], [32, 24, 8, 32], [34, 26, 8, 34], [36, 28, 8, 36], [38, 30, 8, 38], [40, 32, 8, 40], [42, 34, 8, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S046 S048 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 37, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 7] 操作後 derived = [[[0, 37, 7, 0], [2, 39, 7, 2], [4, 41, 7, 4], [6, 43, 7, 6], [8, 1, 7, 8], [10, 3, 7, 10], [12, 5, 7, 12], [14, 7, 7, 14], [16, 9, 7, 16], [18, 11, 7, 18], [20, 13, 7, 20], [22, 15, 7, 22], [24, 17, 7, 24], [26, 19, 7, 26], [28, 21, 7, 28], [30, 23, 7, 30], [32, 25, 7, 32], [34, 27, 7, 34], [36, 29, 7, 36], [38, 31, 7, 38], [40, 33, 7, 40], [42, 35, 7, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S047 S049 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 38, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 6] 操作後 derived = [[[0, 38, 6, 0], [2, 40, 6, 2], [4, 42, 6, 4], [6, 0, 6, 6], [8, 2, 6, 8], [10, 4, 6, 10], [12, 6, 6, 12], [14, 8, 6, 14], [16, 10, 6, 16], [18, 12, 6, 18], [20, 14, 6, 20], [22, 16, 6, 22], [24, 18, 6, 24], [26, 20, 6, 26], [28, 22, 6, 28], [30, 24, 6, 30], [32, 26, 6, 32], [34, 28, 6, 34], [36, 30, 6, 36], [38, 32, 6, 38], [40, 34, 6, 40], [42, 36, 6, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S048 S050 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 39, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 5] 操作後 derived = [[[0, 39, 5, 0], [2, 41, 5, 2], [4, 43, 5, 4], [6, 1, 5, 6], [8, 3, 5, 8], [10, 5, 5, 10], [12, 7, 5, 12], [14, 9, 5, 14], [16, 11, 5, 16], [18, 13, 5, 18], [20, 15, 5, 20], [22, 17, 5, 22], [24, 19, 5, 24], [26, 21, 5, 26], [28, 23, 5, 28], [30, 25, 5, 30], [32, 27, 5, 32], [34, 29, 5, 34], [36, 31, 5, 36], [38, 33, 5, 38], [40, 35, 5, 40], [42, 37, 5, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S049 S051 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 40, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 4] 操作後 derived = [[[0, 40, 4, 0], [2, 42, 4, 2], [4, 0, 4, 4], [6, 2, 4, 6], [8, 4, 4, 8], [10, 6, 4, 10], [12, 8, 4, 12], [14, 10, 4, 14], [16, 12, 4, 16], [18, 14, 4, 18], [20, 16, 4, 20], [22, 18, 4, 22], [24, 20, 4, 24], [26, 22, 4, 26], [28, 24, 4, 28], [30, 26, 4, 30], [32, 28, 4, 32], [34, 30, 4, 34], [36, 32, 4, 36], [38, 34, 4, 38], [40, 36, 4, 40], [42, 38, 4, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S050 S052 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 41, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 3] 操作後 derived = [[[0, 41, 3, 0], [2, 43, 3, 2], [4, 1, 3, 4], [6, 3, 3, 6], [8, 5, 3, 8], [10, 7, 3, 10], [12, 9, 3, 12], [14, 11, 3, 14], [16, 13, 3, 16], [18, 15, 3, 18], [20, 17, 3, 20], [22, 19, 3, 22], [24, 21, 3, 24], [26, 23, 3, 26], [28, 25, 3, 28], [30, 27, 3, 30], [32, 29, 3, 32], [34, 31, 3, 34], [36, 33, 3, 36], [38, 35, 3, 38], [40, 37, 3, 40], [42, 39, 3, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S051 S053 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 42, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 2] 操作後 derived = [[[0, 42, 2, 0], [2, 0, 2, 2], [4, 2, 2, 4], [6, 4, 2, 6], [8, 6, 2, 8], [10, 8, 2, 10], [12, 10, 2, 12], [14, 12, 2, 14], [16, 14, 2, 16], [18, 16, 2, 18], [20, 18, 2, 20], [22, 20, 2, 22], [24, 22, 2, 24], [26, 24, 2, 26], [28, 26, 2, 28], [30, 28, 2, 30], [32, 30, 2, 32], [34, 32, 2, 34], [36, 34, 2, 36], [38, 36, 2, 38], [40, 38, 2, 40], [42, 40, 2, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S052 S054 · implies操作前 source roles = [Kernel ACTUAL identity preimage, 43, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 1] 操作後 derived = [[[0, 43, 1, 0], [2, 1, 1, 2], [4, 3, 1, 4], [6, 5, 1, 6], [8, 7, 1, 8], [10, 9, 1, 10], [12, 11, 1, 12], [14, 13, 1, 14], [16, 15, 1, 16], [18, 17, 1, 18], [20, 19, 1, 20], [22, 21, 1, 22], [24, 23, 1, 24], [26, 25, 1, 26], [28, 27, 1, 28], [30, 29, 1, 30], [32, 31, 1, 32], [34, 33, 1, 34], [36, 35, 1, 36], [38, 37, 1, 38], [40, 39, 1, 40], [42, 41, 1, 42]], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是] 條件：無 按同一表先乘g*h，再乘g的右逆，遍歷全部h；再對全部g核集合等式，不由取樣或生成元猜normal。 步驟識別與依賴規則：Subgroup_EVERY_g_entire_conjugate_set · 依賴：G001, S053 S055 · implies操作前 source roles = [[0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是, 0] 操作後 derived = [f(kl)=f(k)f(l)=e, f(k^-1)=f(k)^-1=e, f(gkg^-1)=f(g)e*f(g)^-1=e] 條件：無 乘積、逆元與全g共軛的像都回到target identity，這給一般closure/normality理由，和本題完整枚舉互相核對；不宣稱quotient/isomorphism。 步驟識別與依賴規則：Kernel_GENERAL_closure_normality_from_homomorphism · 依賴：G001, S054 S056 · implies操作前 source roles = [20, 22, 24, [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42]] 操作後 derived = [2, 是, 是, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是, 是] 條件：無 f(a)=f(b)等價f(a)^-1f(b)=e，故用a^-1*b而非b*a^-1。任意y在fiber iff a^-1y∈K；y↦a^-1y與k↦ak互逆，給完整fiber=aK。fiber含a，不假設target滿射。False/False的iff仍True。 步驟識別與依賴規則：Kernel_actual_LEFT_division_fiber_LEFT_coset_two_directions · 依賴：G001, S055 ## 逐步反向核對 - S056 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S055 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S054 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S053 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S052 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S051 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S050 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S049 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S048 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S047 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S046 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S045 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S044 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S043 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S042 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S041 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S040 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S039 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S038 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S037 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S036 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S035 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S034 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S033 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S032 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S031 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S030 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S029 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S028 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S027 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S026 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S025 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S024 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S023 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S022 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S021 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S020 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S019 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S018 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S017 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S016 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S015 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S014 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S013 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S012 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S011 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S010 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S009 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S008 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S007 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S006 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S005 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S004 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S003 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S002 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 - S001 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。 ## 結論 (20, 22, 0, 0, 是, 2, 是, [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42], 是, 是, f(a)=f(b)_iff_a_inverse_b_in_kernel_and_nonempty_fiber_is_a_left_coset) 依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。 ## 本題覆核與來源綁定 覆核日期：2026-10-26 原題、答案、步驟表達式、數值 AST 與既有歷史保持原樣；原來的候選狀態屬於來源歷史，不覆寫為形式化證明。 來源雜湊與覆核憑證 - input commit: 0f7be61e2c22317a4075561dc822c87d881a50db - original question SHA-256: 9c7f0a52c3a66e72f464c3fb43b2058847fb60be3562ec4879cd8ca82111b277 - candidate record SHA-256: 82ca2f2106002d79b9a587eed8e836ec0f563d9470a589cd5b50a1f44be5dfc5 - semantic review receipt SHA-256: 049a9e07e69fead88d93b34f0937b9470a06d71c1a8d097058fc83554529bdd0 - question-first witness SHA-256: 0c71ebb418f3de347d232d159fc25e93036f4ab9166bcfb5ee5b4be86d5c55b9 - Lean: NOT_RUN · human review: NOT_PERFORMED [同源完整 JSON](https://ocme.evemisslab.com/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0071.json)