第 24941 題：有限群同態的核

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-homomorphism-qualification；資料={"source_table":[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1],[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]],"source_identity":0,"target_table":[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1],[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]],"target_identity":0,"mapping":[0,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1]}。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-homomorphism-qualification；資料={"source_table":[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1],[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]],"source_identity":0,"target_table":[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1],[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[17,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]],"target_identity":0,"mapping":[0,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1]}。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

逐步推導

source roles = [kernel-homomorphism-qualification]

derived = [[source_order, target_order, mapping, product_law_rows, homomorphism, first_failed_pair_or_null, certificate]]

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], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7], [9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8], [10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], [15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], [17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]], 0]

derived = [18, [[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]], 是]

source roles = [Kernel ORIGINAL SOURCE group, 18, FOR EVERY x,y,z in0..n-1]

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]], 5832, 是]

source roles = [Kernel ORIGINAL SOURCE group, 0]

derived = [[0, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [[0, 0, 0, 0], [1, 17, 0, 0], [2, 16, 0, 0], [3, 15, 0, 0], [4, 14, 0, 0], [5, 13, 0, 0], [6, 12, 0, 0], [7, 11, 0, 0], [8, 10, 0, 0], [9, 9, 0, 0], [10, 8, 0, 0], [11, 7, 0, 0], [12, 6, 0, 0], [13, 5, 0, 0], [14, 4, 0, 0], [15, 3, 0, 0], [16, 2, 0, 0], [17, 1, 0, 0]], 是]

source roles = [Kernel ORIGINAL TARGET group, 64, [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7], [9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8], [10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], [15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], [17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]], 0]

derived = [18, [[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]], 是]

source roles = [Kernel ORIGINAL TARGET group, 18, FOR EVERY x,y,z in0..n-1]

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]], 5832, 是]

source roles = [Kernel ORIGINAL TARGET group, 0]

derived = [[0, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [[0, 0, 0, 0], [1, 17, 0, 0], [2, 16, 0, 0], [3, 15, 0, 0], [4, 14, 0, 0], [5, 13, 0, 0], [6, 12, 0, 0], [7, 11, 0, 0], [8, 10, 0, 0], [9, 9, 0, 0], [10, 8, 0, 0], [11, 7, 0, 0], [12, 6, 0, 0], [13, 5, 0, 0], [14, 4, 0, 0], [15, 3, 0, 0], [16, 2, 0, 0], [17, 1, 0, 0]], 是]

source roles = [[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7], [9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8], [10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], [15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], [17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7], [9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8], [10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], [15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15], [17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]], [0, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]]

derived = [[[0, 0, 0, 0, 是], [0, 1, 17, 17, 是], [0, 2, 16, 16, 是], [0, 3, 15, 15, 是], [0, 4, 14, 14, 是], [0, 5, 13, 13, 是], [0, 6, 12, 12, 是], [0, 7, 11, 11, 是], [0, 8, 10, 10, 是], [0, 9, 9, 9, 是], [0, 10, 8, 8, 是], [0, 11, 7, 7, 是], [0, 12, 6, 6, 是], [0, 13, 5, 5, 是], [0, 14, 4, 4, 是], [0, 15, 3, 3, 是], [0, 16, 2, 2, 是], [0, 17, 1, 1, 是], [1, 0, 17, 17, 是], [1, 1, 16, 16, 是], [1, 2, 15, 15, 是], [1, 3, 14, 14, 是], [1, 4, 13, 13, 是], [1, 5, 12, 12, 是], [1, 6, 11, 11, 是], [1, 7, 10, 10, 是], [1, 8, 9, 9, 是], [1, 9, 8, 8, 是], [1, 10, 7, 7, 是], [1, 11, 6, 6, 是], [1, 12, 5, 5, 是], [1, 13, 4, 4, 是], [1, 14, 3, 3, 是], [1, 15, 2, 2, 是], [1, 16, 1, 1, 是], [1, 17, 0, 0, 是], [2, 0, 16, 16, 是], [2, 1, 15, 15, 是], [2, 2, 14, 14, 是], [2, 3, 13, 13, 是], [2, 4, 12, 12, 是], [2, 5, 11, 11, 是], [2, 6, 10, 10, 是], [2, 7, 9, 9, 是], [2, 8, 8, 8, 是], [2, 9, 7, 7, 是], [2, 10, 6, 6, 是], [2, 11, 5, 5, 是], [2, 12, 4, 4, 是], [2, 13, 3, 3, 是], [2, 14, 2, 2, 是], [2, 15, 1, 1, 是], [2, 16, 0, 0, 是], [2, 17, 17, 17, 是], [3, 0, 15, 15, 是], [3, 1, 14, 14, 是], [3, 2, 13, 13, 是], [3, 3, 12, 12, 是], [3, 4, 11, 11, 是], [3, 5, 10, 10, 是], [3, 6, 9, 9, 是], [3, 7, 8, 8, 是], [3, 8, 7, 7, 是], [3, 9, 6, 6, 是], [3, 10, 5, 5, 是], [3, 11, 4, 4, 是], [3, 12, 3, 3, 是], [3, 13, 2, 2, 是], [3, 14, 1, 1, 是], [3, 15, 0, 0, 是], [3, 16, 17, 17, 是], [3, 17, 16, 16, 是], [4, 0, 14, 14, 是], [4, 1, 13, 13, 是], [4, 2, 12, 12, 是], [4, 3, 11, 11, 是], [4, 4, 10, 10, 是], [4, 5, 9, 9, 是], [4, 6, 8, 8, 是], [4, 7, 7, 7, 是], [4, 8, 6, 6, 是], [4, 9, 5, 5, 是], [4, 10, 4, 4, 是], [4, 11, 3, 3, 是], [4, 12, 2, 2, 是], [4, 13, 1, 1, 是], [4, 14, 0, 0, 是], [4, 15, 17, 17, 是], [4, 16, 16, 16, 是], [4, 17, 15, 15, 是], [5, 0, 13, 13, 是], [5, 1, 12, 12, 是], [5, 2, 11, 11, 是], [5, 3, 10, 10, 是], [5, 4, 9, 9, 是], [5, 5, 8, 8, 是], [5, 6, 7, 7, 是], [5, 7, 6, 6, 是], [5, 8, 5, 5, 是], [5, 9, 4, 4, 是], [5, 10, 3, 3, 是], [5, 11, 2, 2, 是], [5, 12, 1, 1, 是], [5, 13, 0, 0, 是], [5, 14, 17, 17, 是], [5, 15, 16, 16, 是], [5, 16, 15, 15, 是], [5, 17, 14, 14, 是], [6, 0, 12, 12, 是], [6, 1, 11, 11, 是], [6, 2, 10, 10, 是], [6, 3, 9, 9, 是], [6, 4, 8, 8, 是], [6, 5, 7, 7, 是], [6, 6, 6, 6, 是], [6, 7, 5, 5, 是], [6, 8, 4, 4, 是], [6, 9, 3, 3, 是], [6, 10, 2, 2, 是], [6, 11, 1, 1, 是], [6, 12, 0, 0, 是], [6, 13, 17, 17, 是], [6, 14, 16, 16, 是], [6, 15, 15, 15, 是], [6, 16, 14, 14, 是], [6, 17, 13, 13, 是], [7, 0, 11, 11, 是], [7, 1, 10, 10, 是], [7, 2, 9, 9, 是], [7, 3, 8, 8, 是], [7, 4, 7, 7, 是], [7, 5, 6, 6, 是], [7, 6, 5, 5, 是], [7, 7, 4, 4, 是], [7, 8, 3, 3, 是], [7, 9, 2, 2, 是], [7, 10, 1, 1, 是], [7, 11, 0, 0, 是], [7, 12, 17, 17, 是], [7, 13, 16, 16, 是], [7, 14, 15, 15, 是], [7, 15, 14, 14, 是], [7, 16, 13, 13, 是], [7, 17, 12, 12, 是], [8, 0, 10, 10, 是], [8, 1, 9, 9, 是], [8, 2, 8, 8, 是], [8, 3, 7, 7, 是], [8, 4, 6, 6, 是], [8, 5, 5, 5, 是], [8, 6, 4, 4, 是], [8, 7, 3, 3, 是], [8, 8, 2, 2, 是], [8, 9, 1, 1, 是], [8, 10, 0, 0, 是], [8, 11, 17, 17, 是], [8, 12, 16, 16, 是], [8, 13, 15, 15, 是], [8, 14, 14, 14, 是], [8, 15, 13, 13, 是], [8, 16, 12, 12, 是], [8, 17, 11, 11, 是], [9, 0, 9, 9, 是], [9, 1, 8, 8, 是], [9, 2, 7, 7, 是], [9, 3, 6, 6, 是], [9, 4, 5, 5, 是], [9, 5, 4, 4, 是], [9, 6, 3, 3, 是], [9, 7, 2, 2, 是], [9, 8, 1, 1, 是], [9, 9, 0, 0, 是], [9, 10, 17, 17, 是], [9, 11, 16, 16, 是], [9, 12, 15, 15, 是], [9, 13, 14, 14, 是], [9, 14, 13, 13, 是], [9, 15, 12, 12, 是], [9, 16, 11, 11, 是], [9, 17, 10, 10, 是], [10, 0, 8, 8, 是], [10, 1, 7, 7, 是], [10, 2, 6, 6, 是], [10, 3, 5, 5, 是], [10, 4, 4, 4, 是], [10, 5, 3, 3, 是], [10, 6, 2, 2, 是], [10, 7, 1, 1, 是], [10, 8, 0, 0, 是], [10, 9, 17, 17, 是], [10, 10, 16, 16, 是], [10, 11, 15, 15, 是], [10, 12, 14, 14, 是], [10, 13, 13, 13, 是], [10, 14, 12, 12, 是], [10, 15, 11, 11, 是], [10, 16, 10, 10, 是], [10, 17, 9, 9, 是], [11, 0, 7, 7, 是], [11, 1, 6, 6, 是], [11, 2, 5, 5, 是], [11, 3, 4, 4, 是], [11, 4, 3, 3, 是], [11, 5, 2, 2, 是], [11, 6, 1, 1, 是], [11, 7, 0, 0, 是], [11, 8, 17, 17, 是], [11, 9, 16, 16, 是], [11, 10, 15, 15, 是], [11, 11, 14, 14, 是], [11, 12, 13, 13, 是], [11, 13, 12, 12, 是], [11, 14, 11, 11, 是], [11, 15, 10, 10, 是], [11, 16, 9, 9, 是], [11, 17, 8, 8, 是], [12, 0, 6, 6, 是], [12, 1, 5, 5, 是], [12, 2, 4, 4, 是], [12, 3, 3, 3, 是], [12, 4, 2, 2, 是], [12, 5, 1, 1, 是], [12, 6, 0, 0, 是], [12, 7, 17, 17, 是], [12, 8, 16, 16, 是], [12, 9, 15, 15, 是], [12, 10, 14, 14, 是], [12, 11, 13, 13, 是], [12, 12, 12, 12, 是], [12, 13, 11, 11, 是], [12, 14, 10, 10, 是], [12, 15, 9, 9, 是], [12, 16, 8, 8, 是], [12, 17, 7, 7, 是], [13, 0, 5, 5, 是], [13, 1, 4, 4, 是], [13, 2, 3, 3, 是], [13, 3, 2, 2, 是], [13, 4, 1, 1, 是], [13, 5, 0, 0, 是], [13, 6, 17, 17, 是], [13, 7, 16, 16, 是], [13, 8, 15, 15, 是], [13, 9, 14, 14, 是], [13, 10, 13, 13, 是], [13, 11, 12, 12, 是], [13, 12, 11, 11, 是], [13, 13, 10, 10, 是], [13, 14, 9, 9, 是], [13, 15, 8, 8, 是], [13, 16, 7, 7, 是], [13, 17, 6, 6, 是], [14, 0, 4, 4, 是], [14, 1, 3, 3, 是], [14, 2, 2, 2, 是], [14, 3, 1, 1, 是], [14, 4, 0, 0, 是], [14, 5, 17, 17, 是], [14, 6, 16, 16, 是], [14, 7, 15, 15, 是], [14, 8, 14, 14, 是], [14, 9, 13, 13, 是], [14, 10, 12, 12, 是], [14, 11, 11, 11, 是], [14, 12, 10, 10, 是], [14, 13, 9, 9, 是], [14, 14, 8, 8, 是], [14, 15, 7, 7, 是], [14, 16, 6, 6, 是], [14, 17, 5, 5, 是], [15, 0, 3, 3, 是], [15, 1, 2, 2, 是], [15, 2, 1, 1, 是], [15, 3, 0, 0, 是], [15, 4, 17, 17, 是], [15, 5, 16, 16, 是], [15, 6, 15, 15, 是], [15, 7, 14, 14, 是], [15, 8, 13, 13, 是], [15, 9, 12, 12, 是], [15, 10, 11, 11, 是], [15, 11, 10, 10, 是], [15, 12, 9, 9, 是], [15, 13, 8, 8, 是], [15, 14, 7, 7, 是], [15, 15, 6, 6, 是], [15, 16, 5, 5, 是], [15, 17, 4, 4, 是], [16, 0, 2, 2, 是], [16, 1, 1, 1, 是], [16, 2, 0, 0, 是], [16, 3, 17, 17, 是], [16, 4, 16, 16, 是], [16, 5, 15, 15, 是], [16, 6, 14, 14, 是], [16, 7, 13, 13, 是], [16, 8, 12, 12, 是], [16, 9, 11, 11, 是], [16, 10, 10, 10, 是], [16, 11, 9, 9, 是], [16, 12, 8, 8, 是], [16, 13, 7, 7, 是], [16, 14, 6, 6, 是], [16, 15, 5, 5, 是], [16, 16, 4, 4, 是], [16, 17, 3, 3, 是], [17, 0, 1, 1, 是], [17, 1, 0, 0, 是], [17, 2, 17, 17, 是], [17, 3, 16, 16, 是], [17, 4, 15, 15, 是], [17, 5, 14, 14, 是], [17, 6, 13, 13, 是], [17, 7, 12, 12, 是], [17, 8, 11, 11, 是], [17, 9, 10, 10, 是], [17, 10, 9, 9, 是], [17, 11, 8, 8, 是], [17, 12, 7, 7, 是], [17, 13, 6, 6, 是], [17, 14, 5, 5, 是], [17, 15, 4, 4, 是], [17, 16, 3, 3, 是], [17, 17, 2, 2, 是]], 是, null]

逐步反向核對

• 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

(18, 18, [0, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [[0, 0, 0, 0, 是], [0, 1, 17, 17, 是], [0, 2, 16, 16, 是], [0, 3, 15, 15, 是], [0, 4, 14, 14, 是], [0, 5, 13, 13, 是], [0, 6, 12, 12, 是], [0, 7, 11, 11, 是], [0, 8, 10, 10, 是], [0, 9, 9, 9, 是], [0, 10, 8, 8, 是], [0, 11, 7, 7, 是], [0, 12, 6, 6, 是], [0, 13, 5, 5, 是], [0, 14, 4, 4, 是], [0, 15, 3, 3, 是], [0, 16, 2, 2, 是], [0, 17, 1, 1, 是], [1, 0, 17, 17, 是], [1, 1, 16, 16, 是], [1, 2, 15, 15, 是], [1, 3, 14, 14, 是], [1, 4, 13, 13, 是], [1, 5, 12, 12, 是], [1, 6, 11, 11, 是], [1, 7, 10, 10, 是], [1, 8, 9, 9, 是], [1, 9, 8, 8, 是], [1, 10, 7, 7, 是], [1, 11, 6, 6, 是], [1, 12, 5, 5, 是], [1, 13, 4, 4, 是], [1, 14, 3, 3, 是], [1, 15, 2, 2, 是], [1, 16, 1, 1, 是], [1, 17, 0, 0, 是], [2, 0, 16, 16, 是], [2, 1, 15, 15, 是], [2, 2, 14, 14, 是], [2, 3, 13, 13, 是], [2, 4, 12, 12, 是], [2, 5, 11, 11, 是], [2, 6, 10, 10, 是], [2, 7, 9, 9, 是], [2, 8, 8, 8, 是], [2, 9, 7, 7, 是], [2, 10, 6, 6, 是], [2, 11, 5, 5, 是], [2, 12, 4, 4, 是], [2, 13, 3, 3, 是], [2, 14, 2, 2, 是], [2, 15, 1, 1, 是], [2, 16, 0, 0, 是], [2, 17, 17, 17, 是], [3, 0, 15, 15, 是], [3, 1, 14, 14, 是], [3, 2, 13, 13, 是], [3, 3, 12, 12, 是], [3, 4, 11, 11, 是], [3, 5, 10, 10, 是], [3, 6, 9, 9, 是], [3, 7, 8, 8, 是], [3, 8, 7, 7, 是], [3, 9, 6, 6, 是], [3, 10, 5, 5, 是], [3, 11, 4, 4, 是], [3, 12, 3, 3, 是], [3, 13, 2, 2, 是], [3, 14, 1, 1, 是], [3, 15, 0, 0, 是], [3, 16, 17, 17, 是], [3, 17, 16, 16, 是], [4, 0, 14, 14, 是], [4, 1, 13, 13, 是], [4, 2, 12, 12, 是], [4, 3, 11, 11, 是], [4, 4, 10, 10, 是], [4, 5, 9, 9, 是], [4, 6, 8, 8, 是], [4, 7, 7, 7, 是], [4, 8, 6, 6, 是], [4, 9, 5, 5, 是], [4, 10, 4, 4, 是], [4, 11, 3, 3, 是], [4, 12, 2, 2, 是], [4, 13, 1, 1, 是], [4, 14, 0, 0, 是], [4, 15, 17, 17, 是], [4, 16, 16, 16, 是], [4, 17, 15, 15, 是], [5, 0, 13, 13, 是], [5, 1, 12, 12, 是], [5, 2, 11, 11, 是], [5, 3, 10, 10, 是], [5, 4, 9, 9, 是], [5, 5, 8, 8, 是], [5, 6, 7, 7, 是], [5, 7, 6, 6, 是], [5, 8, 5, 5, 是], [5, 9, 4, 4, 是], [5, 10, 3, 3, 是], [5, 11, 2, 2, 是], [5, 12, 1, 1, 是], [5, 13, 0, 0, 是], [5, 14, 17, 17, 是], [5, 15, 16, 16, 是], [5, 16, 15, 15, 是], [5, 17, 14, 14, 是], [6, 0, 12, 12, 是], [6, 1, 11, 11, 是], [6, 2, 10, 10, 是], [6, 3, 9, 9, 是], [6, 4, 8, 8, 是], [6, 5, 7, 7, 是], [6, 6, 6, 6, 是], [6, 7, 5, 5, 是], [6, 8, 4, 4, 是], [6, 9, 3, 3, 是], [6, 10, 2, 2, 是], [6, 11, 1, 1, 是], [6, 12, 0, 0, 是], [6, 13, 17, 17, 是], [6, 14, 16, 16, 是], [6, 15, 15, 15, 是], [6, 16, 14, 14, 是], [6, 17, 13, 13, 是], [7, 0, 11, 11, 是], [7, 1, 10, 10, 是], [7, 2, 9, 9, 是], [7, 3, 8, 8, 是], [7, 4, 7, 7, 是], [7, 5, 6, 6, 是], [7, 6, 5, 5, 是], [7, 7, 4, 4, 是], [7, 8, 3, 3, 是], [7, 9, 2, 2, 是], [7, 10, 1, 1, 是], [7, 11, 0, 0, 是], [7, 12, 17, 17, 是], [7, 13, 16, 16, 是], [7, 14, 15, 15, 是], [7, 15, 14, 14, 是], [7, 16, 13, 13, 是], [7, 17, 12, 12, 是], [8, 0, 10, 10, 是], [8, 1, 9, 9, 是], [8, 2, 8, 8, 是], [8, 3, 7, 7, 是], [8, 4, 6, 6, 是], [8, 5, 5, 5, 是], [8, 6, 4, 4, 是], [8, 7, 3, 3, 是], [8, 8, 2, 2, 是], [8, 9, 1, 1, 是], [8, 10, 0, 0, 是], [8, 11, 17, 17, 是], [8, 12, 16, 16, 是], [8, 13, 15, 15, 是], [8, 14, 14, 14, 是], [8, 15, 13, 13, 是], [8, 16, 12, 12, 是], [8, 17, 11, 11, 是], [9, 0, 9, 9, 是], [9, 1, 8, 8, 是], [9, 2, 7, 7, 是], [9, 3, 6, 6, 是], [9, 4, 5, 5, 是], [9, 5, 4, 4, 是], [9, 6, 3, 3, 是], [9, 7, 2, 2, 是], [9, 8, 1, 1, 是], [9, 9, 0, 0, 是], [9, 10, 17, 17, 是], [9, 11, 16, 16, 是], [9, 12, 15, 15, 是], [9, 13, 14, 14, 是], [9, 14, 13, 13, 是], [9, 15, 12, 12, 是], [9, 16, 11, 11, 是], [9, 17, 10, 10, 是], [10, 0, 8, 8, 是], [10, 1, 7, 7, 是], [10, 2, 6, 6, 是], [10, 3, 5, 5, 是], [10, 4, 4, 4, 是], [10, 5, 3, 3, 是], [10, 6, 2, 2, 是], [10, 7, 1, 1, 是], [10, 8, 0, 0, 是], [10, 9, 17, 17, 是], [10, 10, 16, 16, 是], [10, 11, 15, 15, 是], [10, 12, 14, 14, 是], [10, 13, 13, 13, 是], [10, 14, 12, 12, 是], [10, 15, 11, 11, 是], [10, 16, 10, 10, 是], [10, 17, 9, 9, 是], [11, 0, 7, 7, 是], [11, 1, 6, 6, 是], [11, 2, 5, 5, 是], [11, 3, 4, 4, 是], [11, 4, 3, 3, 是], [11, 5, 2, 2, 是], [11, 6, 1, 1, 是], [11, 7, 0, 0, 是], [11, 8, 17, 17, 是], [11, 9, 16, 16, 是], [11, 10, 15, 15, 是], [11, 11, 14, 14, 是], [11, 12, 13, 13, 是], [11, 13, 12, 12, 是], [11, 14, 11, 11, 是], [11, 15, 10, 10, 是], [11, 16, 9, 9, 是], [11, 17, 8, 8, 是], [12, 0, 6, 6, 是], [12, 1, 5, 5, 是], [12, 2, 4, 4, 是], [12, 3, 3, 3, 是], [12, 4, 2, 2, 是], [12, 5, 1, 1, 是], [12, 6, 0, 0, 是], [12, 7, 17, 17, 是], [12, 8, 16, 16, 是], [12, 9, 15, 15, 是], [12, 10, 14, 14, 是], [12, 11, 13, 13, 是], [12, 12, 12, 12, 是], [12, 13, 11, 11, 是], [12, 14, 10, 10, 是], [12, 15, 9, 9, 是], [12, 16, 8, 8, 是], [12, 17, 7, 7, 是], [13, 0, 5, 5, 是], [13, 1, 4, 4, 是], [13, 2, 3, 3, 是], [13, 3, 2, 2, 是], [13, 4, 1, 1, 是], [13, 5, 0, 0, 是], [13, 6, 17, 17, 是], [13, 7, 16, 16, 是], [13, 8, 15, 15, 是], [13, 9, 14, 14, 是], [13, 10, 13, 13, 是], [13, 11, 12, 12, 是], [13, 12, 11, 11, 是], [13, 13, 10, 10, 是], [13, 14, 9, 9, 是], [13, 15, 8, 8, 是], [13, 16, 7, 7, 是], [13, 17, 6, 6, 是], [14, 0, 4, 4, 是], [14, 1, 3, 3, 是], [14, 2, 2, 2, 是], [14, 3, 1, 1, 是], [14, 4, 0, 0, 是], [14, 5, 17, 17, 是], [14, 6, 16, 16, 是], [14, 7, 15, 15, 是], [14, 8, 14, 14, 是], [14, 9, 13, 13, 是], [14, 10, 12, 12, 是], [14, 11, 11, 11, 是], [14, 12, 10, 10, 是], [14, 13, 9, 9, 是], [14, 14, 8, 8, 是], [14, 15, 7, 7, 是], [14, 16, 6, 6, 是], [14, 17, 5, 5, 是], [15, 0, 3, 3, 是], [15, 1, 2, 2, 是], [15, 2, 1, 1, 是], [15, 3, 0, 0, 是], [15, 4, 17, 17, 是], [15, 5, 16, 16, 是], [15, 6, 15, 15, 是], [15, 7, 14, 14, 是], [15, 8, 13, 13, 是], [15, 9, 12, 12, 是], [15, 10, 11, 11, 是], [15, 11, 10, 10, 是], [15, 12, 9, 9, 是], [15, 13, 8, 8, 是], [15, 14, 7, 7, 是], [15, 15, 6, 6, 是], [15, 16, 5, 5, 是], [15, 17, 4, 4, 是], [16, 0, 2, 2, 是], [16, 1, 1, 1, 是], [16, 2, 0, 0, 是], [16, 3, 17, 17, 是], [16, 4, 16, 16, 是], [16, 5, 15, 15, 是], [16, 6, 14, 14, 是], [16, 7, 13, 13, 是], [16, 8, 12, 12, 是], [16, 9, 11, 11, 是], [16, 10, 10, 10, 是], [16, 11, 9, 9, 是], [16, 12, 8, 8, 是], [16, 13, 7, 7, 是], [16, 14, 6, 6, 是], [16, 15, 5, 5, 是], [16, 16, 4, 4, 是], [16, 17, 3, 3, 是], [17, 0, 1, 1, 是], [17, 1, 0, 0, 是], [17, 2, 17, 17, 是], [17, 3, 16, 16, 是], [17, 4, 15, 15, 是], [17, 5, 14, 14, 是], [17, 6, 13, 13, 是], [17, 7, 12, 12, 是], [17, 8, 11, 11, 是], [17, 9, 10, 10, 是], [17, 10, 9, 9, 是], [17, 11, 8, 8, 是], [17, 12, 7, 7, 是], [17, 13, 6, 6, 是], [17, 14, 5, 5, 是], [17, 15, 4, 4, 是], [17, 16, 3, 3, 是], [17, 17, 2, 2, 是]], 是, null, complete_total_map_satisfies_every_product_pair)

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。