第 26073 題：最小頂點覆蓋

原題與已知條件

bounded finite simple graph的全部vertex subsets與all-edge cover audit。操作=mincover-minimal-not-minimum；資料={"vertices":["c0","l0_0","l0_1","l0_2","c1","l1_0","l1_1","l1_2","l1_3","l1_4","l1_5","l1_6"],"edges":[["c0","l0_0"],["c0","l0_1"],["c0","l0_2"],["c1","l1_0"],["c1","l1_1"],["c1","l1_2"],["c1","l1_3"],["c1","l1_4"],["c1","l1_5"],["c1","l1_6"]],"candidate":["l0_0","l0_1","l0_2","l1_0","l1_1","l1_2","l1_3","l1_4","l1_5","l1_6"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。

• G001 — bounded finite simple graph的全部vertex subsets與all-edge cover audit。操作=mincover-minimal-not-minimum；資料={"vertices":["c0","l0_0","l0_1","l0_2","c1","l1_0","l1_1","l1_2","l1_3","l1_4","l1_5","l1_6"],"edges":[["c0","l0_0"],["c0","l0_1"],["c0","l0_2"],["c1","l1_0"],["c1","l1_1"],["c1","l1_2"],["c1","l1_3"],["c1","l1_4"],["c1","l1_5"],["c1","l1_6"]],"candidate":["l0_0","l0_1","l0_2","l1_0","l1_1","l1_2","l1_3","l1_4","l1_5","l1_6"]}。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-minimum-vertex-cover

逐步推導

source roles = [mincover-minimal-not-minimum]

derived = [[candidate, deletion_rows, inclusion_minimal, minimum_size, smaller_cover, minimum, certificate]]

source roles = [[c0, l0_0, l0_1, l0_2, c1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [[c0, l0_0], [c0, l0_1], [c0, l0_2], [c1, l1_0], [c1, l1_1], [c1, l1_2], [c1, l1_3], [c1, l1_4], [c1, l1_5], [c1, l1_6]], [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6]]

derived = [[c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [[c0, l0_0], [c0, l0_1], [c0, l0_2], [c1, l1_0], [c1, l1_1], [c1, l1_2], [c1, l1_3], [c1, l1_4], [c1, l1_5], [c1, l1_6]], [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6]]

source roles = [[c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [[c0, l0_0], [c0, l0_1], [c0, l0_2], [c1, l1_0], [c1, l1_1], [c1, l1_2], [c1, l1_3], [c1, l1_4], [c1, l1_5], [c1, l1_6]], 4096]

derived = [[3, 7, 11, 15, 19, 23, 27, 30, 31, 35, 39, 43, 47, 51, 55, 59, 62, 63, 67, 71, 75, 79, 83, 87, 91, 94, 95, 99, 103, 107, 111, 115, 119, 123, 126, 127, 131, 135, 139, 143, 147, 151, 155, 158, 159, 163, 167, 171, 175, 179, 183, 187, 190, 191, 195, 199, 203, 207, 211, 215, 219, 222, 223, 227, 231, 235, 239, 243, 247, 251, 254, 255, 259, 263, 267, 271, 275, 279, 283, 286, 287, 291, 295, 299, 303, 307, 311, 315, 318, 319, 323, 327, 331, 335, 339, 343, 347, 350, 351, 355, 359, 363, 367, 371, 375, 379, 382, 383, 387, 391, 395, 399, 403, 407, 411, 414, 415, 419, 423, 427, 431, 435, 439, 443, 446, 447, 451, 455, 459, 463, 467, 471, 475, 478, 479, 483, 487, 491, 495, 499, 503, 507, 510, 511, 515, 519, 523, 527, 531, 535, 539, 542, 543, 547, 551, 555, 559, 563, 567, 571, 574, 575, 579, 583, 587, 591, 595, 599, 603, 606, 607, 611, 615, 619, 623, 627, 631, 635, 638, 639, 643, 647, 651, 655, 659, 663, 667, 670, 671, 675, 679, 683, 687, 691, 695, 699, 702, 703, 707, 711, 715, 719, 723, 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[c0, c1, l0_0, l0_2, l1_1, l1_3, l1_4], [c0, c1, l0_1, l0_2, l1_1, l1_3, l1_4], [c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4], [c0, c1, l1_0, l1_1, l1_3, l1_4], [c0, c1, l0_0, l1_0, l1_1, l1_3, l1_4], [c0, c1, l0_1, l1_0, l1_1, l1_3, l1_4], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_3, l1_4], [c0, c1, l0_2, l1_0, l1_1, l1_3, l1_4], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_3, l1_4], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4], [c0, c1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l1_2, l1_3, l1_4], [c0, c1, l0_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l1_2, l1_3, l1_4], [c0, c1, l0_2, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_2, l1_2, l1_3, l1_4], [c0, c1, l0_1, l0_2, l1_2, l1_3, l1_4], [c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4], [c0, c1, l1_0, l1_2, l1_3, l1_4], [c0, c1, l0_0, l1_0, l1_2, l1_3, l1_4], [c0, c1, l0_1, l1_0, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_3, l1_4], [c0, c1, l0_2, l1_0, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_3, l1_4], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4], [c0, c1, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_1, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_2, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4], [c0, c1, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4], [c0, c1, l1_5], [c0, c1, l0_0, l1_5], [c0, c1, l0_1, l1_5], [c0, c1, l0_0, l0_1, l1_5], [c0, c1, l0_2, l1_5], [c0, c1, l0_0, l0_2, l1_5], [c0, c1, l0_1, l0_2, l1_5], [c1, l0_0, l0_1, l0_2, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_5], [c0, c1, l1_0, l1_5], [c0, c1, l0_0, l1_0, l1_5], [c0, c1, l0_1, l1_0, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_5], [c0, c1, l0_2, l1_0, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_5], [c0, c1, l1_1, l1_5], [c0, c1, l0_0, l1_1, l1_5], [c0, c1, l0_1, l1_1, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_5], [c0, c1, l0_2, l1_1, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_5], [c0, c1, l1_0, l1_1, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_5], [c0, c1, l1_2, l1_5], [c0, c1, l0_0, l1_2, l1_5], [c0, c1, l0_1, l1_2, l1_5], [c0, c1, l0_0, l0_1, l1_2, l1_5], [c0, c1, l0_2, l1_2, l1_5], [c0, c1, l0_0, l0_2, l1_2, l1_5], [c0, c1, l0_1, l0_2, l1_2, l1_5], [c1, l0_0, l0_1, l0_2, l1_2, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_5], [c0, c1, l1_0, l1_2, l1_5], [c0, c1, l0_0, l1_0, l1_2, l1_5], [c0, c1, l0_1, l1_0, l1_2, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_5], [c0, c1, l0_2, l1_0, l1_2, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_5], [c0, c1, l1_1, l1_2, l1_5], [c0, c1, l0_0, l1_1, l1_2, l1_5], [c0, c1, l0_1, l1_1, l1_2, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_5], [c0, c1, l0_2, l1_1, l1_2, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_5], [c0, c1, l1_0, l1_1, l1_2, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_5], [c0, c1, l1_3, l1_5], [c0, c1, l0_0, l1_3, l1_5], [c0, c1, l0_1, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_3, l1_5], [c0, c1, l0_2, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_3, l1_5], [c0, c1, l1_0, l1_3, l1_5], [c0, c1, l0_0, l1_0, l1_3, l1_5], [c0, c1, l0_1, l1_0, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_3, l1_5], [c0, c1, l0_2, l1_0, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_5], [c0, c1, l1_1, l1_3, l1_5], [c0, c1, l0_0, l1_1, l1_3, l1_5], [c0, c1, l0_1, l1_1, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_3, l1_5], [c0, c1, l0_2, l1_1, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_5], [c0, c1, l1_0, l1_1, l1_3, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_3, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_3, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_5], [c0, c1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l1_2, l1_3, l1_5], [c0, c1, l0_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_2, l1_3, l1_5], [c0, c1, l0_2, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_2, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_2, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_5], [c0, c1, l1_0, l1_2, l1_3, l1_5], [c0, c1, l0_0, l1_0, l1_2, l1_3, l1_5], [c0, c1, l0_1, l1_0, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_3, l1_5], [c0, c1, l0_2, l1_0, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_5], [c0, c1, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_1, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_2, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_5], [c0, c1, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5], [c0, c1, l1_4, l1_5], [c0, c1, l0_0, l1_4, l1_5], [c0, c1, l0_1, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_4, l1_5], [c0, c1, l0_2, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_4, l1_5], [c0, c1, l1_0, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_4, l1_5], [c0, c1, l1_1, l1_4, l1_5], [c0, c1, l0_0, l1_1, l1_4, l1_5], [c0, c1, l0_1, l1_1, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_4, l1_5], [c0, c1, l0_2, l1_1, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_4, l1_5], [c0, c1, l1_0, l1_1, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_4, l1_5], [c0, c1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l1_2, l1_4, l1_5], [c0, c1, l0_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_2, l1_4, l1_5], [c0, c1, l0_2, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_2, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_2, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_4, l1_5], [c0, c1, l1_0, l1_2, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_2, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_4, l1_5], [c0, c1, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_1, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_2, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_4, l1_5], [c0, c1, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5], [c0, c1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_3, l1_4, l1_5], [c0, c1, l1_0, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_4, l1_5], [c0, c1, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4, l1_5], [c0, c1, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5], [c0, c1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_2, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4, l1_5], [c0, c1, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5], [c0, c1, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], [c0, c1, l1_6], [c0, c1, l0_0, l1_6], [c0, c1, l0_1, l1_6], [c0, c1, l0_0, l0_1, l1_6], [c0, c1, l0_2, l1_6], [c0, c1, l0_0, l0_2, l1_6], [c0, c1, l0_1, l0_2, l1_6], [c1, l0_0, l0_1, l0_2, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_6], [c0, c1, l1_0, l1_6], [c0, c1, l0_0, l1_0, l1_6], [c0, c1, l0_1, l1_0, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_6], [c0, c1, l0_2, l1_0, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_6], [c0, c1, l1_1, l1_6], [c0, c1, l0_0, l1_1, l1_6], [c0, c1, l0_1, l1_1, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_6], [c0, c1, l0_2, l1_1, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_6], [c0, c1, l1_0, l1_1, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_6], [c0, c1, l1_2, l1_6], [c0, c1, l0_0, l1_2, l1_6], [c0, c1, l0_1, l1_2, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_6], [c0, c1, l0_2, l1_2, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_6], [c0, c1, l1_0, l1_2, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_6], [c0, c1, l1_1, l1_2, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_6], [c0, c1, l1_3, l1_6], [c0, c1, l0_0, l1_3, l1_6], [c0, c1, l0_1, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_3, l1_6], [c0, c1, l0_2, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_3, l1_6], [c0, c1, l1_0, l1_3, l1_6], [c0, c1, l0_0, l1_0, l1_3, l1_6], [c0, c1, l0_1, l1_0, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_3, l1_6], [c0, c1, l0_2, l1_0, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_6], [c0, c1, l1_1, l1_3, l1_6], [c0, c1, l0_0, l1_1, l1_3, l1_6], [c0, c1, l0_1, l1_1, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_3, l1_6], [c0, c1, l0_2, l1_1, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_6], [c0, c1, l1_0, l1_1, l1_3, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_3, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_3, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_6], [c0, c1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l1_2, l1_3, l1_6], [c0, c1, l0_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_3, l1_6], [c0, c1, l0_2, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_6], [c0, c1, l1_0, l1_2, l1_3, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_3, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_3, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_6], [c0, c1, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_6], [c0, c1, l1_4, l1_6], [c0, c1, l0_0, l1_4, l1_6], [c0, c1, l0_1, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_4, l1_6], [c0, c1, l0_2, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_4, l1_6], [c0, c1, l1_0, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_4, l1_6], [c0, c1, l1_1, l1_4, l1_6], [c0, c1, l0_0, l1_1, l1_4, l1_6], [c0, c1, l0_1, l1_1, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_4, l1_6], [c0, c1, l0_2, l1_1, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_4, l1_6], [c0, c1, l1_0, l1_1, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_4, l1_6], [c0, c1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l1_2, l1_4, l1_6], [c0, c1, l0_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_4, l1_6], [c0, c1, l0_2, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_4, l1_6], [c0, c1, l1_0, l1_2, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_4, l1_6], [c0, c1, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_4, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_6], [c0, c1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_3, l1_4, l1_6], [c0, c1, l1_0, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_4, l1_6], [c0, c1, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4, l1_6], [c0, c1, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_6], [c0, c1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4, l1_6], [c0, c1, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_6], [c0, c1, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], [c0, c1, l1_5, l1_6], [c0, c1, l0_0, l1_5, l1_6], [c0, c1, l0_1, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_5, l1_6], [c0, c1, l0_2, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_5, l1_6], [c0, c1, l1_0, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_5, l1_6], [c0, c1, l1_1, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_5, l1_6], [c0, c1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l1_2, l1_5, l1_6], [c0, c1, l0_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_5, l1_6], [c0, c1, l0_2, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_5, l1_6], [c0, c1, l1_0, l1_2, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_5, l1_6], [c0, c1, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_5, l1_6], [c0, c1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_3, l1_5, l1_6], [c0, c1, l1_0, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_5, l1_6], [c0, c1, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_5, l1_6], [c0, c1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_5, l1_6], [c0, c1, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_5, l1_6], [c0, c1, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], [c0, c1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_4, l1_5, l1_6], [c0, c1, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_4, l1_5, l1_6], [c0, c1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_4, l1_5, l1_6], [c0, c1, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], [c0, c1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_3, l1_4, l1_5, l1_6], [c0, c1, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], [c0, c1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_2, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l0_0, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [c0, c1, l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6]], [0, 0, 1, 10, 46, 127, 231, 287, 246, 144, 56, 12, 1], 2, [[c0, c1]]]

source roles = [[l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [[c0, l0_0], [c0, l0_1], [c0, l0_2], [c1, l1_0], [c1, l1_1], [c1, l1_2], [c1, l1_3], [c1, l1_4], [c1, l1_5], [c1, l1_6]]]

derived = [[[[c0, l0_0], 是], [[c0, l0_1], 是], [[c0, l0_2], 是], [[c1, l1_0], 是], [[c1, l1_1], 是], [[c1, l1_2], 是], [[c1, l1_3], 是], [[c1, l1_4], 是], [[c1, l1_5], 是], [[c1, l1_6], 是]], 10, 2, [c0, c1]]

source roles = [[l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [[l0_0, [l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l0_1, [l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l0_2, [l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l1_0, [l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l1_1, [l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l1_2, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], 否], [l1_3, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], 否], [l1_4, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], 否], [l1_5, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], 否], [l1_6, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], 否]]]

derived = [是, 2, [c0, c1], 否]

逐步反向核對

• 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

([l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], [[l0_0, [l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l0_1, [l0_0, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l0_2, [l0_0, l0_1, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l1_0, [l0_0, l0_1, l0_2, l1_1, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l1_1, [l0_0, l0_1, l0_2, l1_0, l1_2, l1_3, l1_4, l1_5, l1_6], 否], [l1_2, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_3, l1_4, l1_5, l1_6], 否], [l1_3, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_4, l1_5, l1_6], 否], [l1_4, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_5, l1_6], 否], [l1_5, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_6], 否], [l1_6, [l0_0, l0_1, l0_2, l1_0, l1_1, l1_2, l1_3, l1_4, l1_5], 否]], 是, 2, [c0, c1], 否, inclusion_minimal_is_not_minimum)

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。