Question 25343: Explicit Representative Dependence Blocks This Quotient Multiplication

Original question and givens

Use complete finite group 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], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27], [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28], [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], [11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], [12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], [13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32], [14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34], [16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35], [17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], [18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37], [19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38], [20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5], [25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6], [26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7], [27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8], [28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9], [29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10], [30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11], [31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12], [32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13], [33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14], [34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15], [35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16], [36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17], [37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18], [38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19], [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]], identity=0, explicit subset=[0, 20] and the entire left-coset partition. Subgroup qualification precedes normality. Quotient elements are coset sets, not representatives; coset indices follow the source canonical element-list order. Give (subgroup, normal, cosets, representative_counterexample, well_defined, quotient_group_certificate, boundary).

• G001 — Use complete finite group 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], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27], [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28], [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], [11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], [12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], [13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32], [14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34], [16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35], [17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], [18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37], [19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38], [20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5], [25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6], [26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7], [27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8], [28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9], [29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10], [30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11], [31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12], [32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13], [33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14], [34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15], [35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16], [36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17], [37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18], [38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19], [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]], identity=0, explicit subset=[0, 20] and the entire left-coset partition. Subgroup qualification precedes normality. Quotient elements are coset sets, not representatives; coset indices follow the source canonical element-list order. Give (subgroup, normal, cosets, representative_counterexample, well_defined, quotient_group_certificate, boundary).

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-finite-quotient-group

Step-by-step derivation

source roles = [quotient-nonnormal-boundary]

derived = [[subgroup, normal, cosets, representative_counterexample, well_defined, quotient_group_certificate, boundary]]

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], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21], [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22], [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23], [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25], [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26], [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27], [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28], [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], [11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 31, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], [12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 32, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], [13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 33, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32], [14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 34, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 35, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34], [16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 36, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35], [17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 37, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], [18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 38, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37], [19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 39, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38], [20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5], [25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6], [26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7], [27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8], [28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9], [29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10], [30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12, 11], [31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13, 12], [32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14, 13], [33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15, 14], [34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16, 15], [35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17, 16], [36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18, 17], [37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19, 18], [38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 19], [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]

derived = [40, [[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]], Yes]

source roles = [40, 0]

derived = [[[Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes], [Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes, Yes]], 64000, [0, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39]]

source roles = [0, [0, 20]]

derived = [[[0, 0, 0, Yes], [0, 20, 20, Yes], [20, 0, 20, Yes], [20, 20, 0, Yes]], [[0, 0, Yes], [20, 20, Yes]], Yes, [[0, [0, 20]], [1, [0, 22]], [2, [0, 24]], [3, [0, 26]], [4, [0, 28]], [5, [0, 30]], [6, [0, 32]], [7, [0, 34]], [8, [0, 36]], [9, [0, 38]], [10, [0, 20]], [11, [0, 22]], [12, [0, 24]], [13, [0, 26]], [14, [0, 28]], [15, [0, 30]], [16, [0, 32]], [17, [0, 34]], [18, [0, 36]], [19, [0, 38]], [20, [0, 20]], [21, [0, 22]], [22, [0, 24]], [23, [0, 26]], [24, [0, 28]], [25, [0, 30]], [26, [0, 32]], [27, [0, 34]], [28, [0, 36]], [29, [0, 38]], [30, [0, 20]], [31, [0, 22]], [32, [0, 24]], [33, [0, 26]], [34, [0, 28]], [35, [0, 30]], [36, [0, 32]], [37, [0, 34]], [38, [0, 36]], [39, [0, 38]]], No]

source roles = [[0, 20], [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]]

derived = [[[0, 20], [1, 21], [10, 30], [11, 31], [12, 32], [13, 33], [14, 34], [15, 35], [16, 36], [17, 37], [18, 38], [19, 39], [2, 22], [3, 23], [4, 24], [5, 25], [6, 26], [7, 27], [8, 28], [9, 29]], [0, 1, 12, 13, 14, 15, 16, 17, 18, 19, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 12, 13, 14, 15, 16, 17, 18, 19, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], Yes]

source roles = [0, 0, [0, 20], [0, 20]]

derived = [[[0, 0, 0, 0], [0, 20, 20, 0], [20, 0, 20, 0], [20, 20, 0, 0]], [0], Yes]

source roles = [0, 1, [0, 20], [1, 21]]

derived = [[[0, 1, 1, 1], [0, 21, 21, 1], [20, 1, 39, 11], [20, 21, 19, 11]], [1, 11], No]

source roles = [0, 2, [0, 20], [10, 30]]

derived = [[[0, 10, 10, 2], [0, 30, 30, 2], [20, 10, 30, 2], [20, 30, 10, 2]], [2], Yes]

source roles = [0, 3, [0, 20], [11, 31]]

derived = [[[0, 11, 11, 3], [0, 31, 31, 3], [20, 11, 29, 19], [20, 31, 9, 19]], [3, 19], No]

source roles = [0, 4, [0, 20], [12, 32]]

derived = [[[0, 12, 12, 4], [0, 32, 32, 4], [20, 12, 28, 18], [20, 32, 8, 18]], [4, 18], No]

source roles = [0, 5, [0, 20], [13, 33]]

derived = [[[0, 13, 13, 5], [0, 33, 33, 5], [20, 13, 27, 17], [20, 33, 7, 17]], [5, 17], No]

source roles = [0, 6, [0, 20], [14, 34]]

derived = [[[0, 14, 14, 6], [0, 34, 34, 6], [20, 14, 26, 16], [20, 34, 6, 16]], [6, 16], No]

source roles = [0, 7, [0, 20], [15, 35]]

derived = [[[0, 15, 15, 7], [0, 35, 35, 7], [20, 15, 25, 15], [20, 35, 5, 15]], [7, 15], No]

source roles = [0, 8, [0, 20], [16, 36]]

derived = [[[0, 16, 16, 8], [0, 36, 36, 8], [20, 16, 24, 14], [20, 36, 4, 14]], [8, 14], No]

source roles = [0, 9, [0, 20], [17, 37]]

derived = [[[0, 17, 17, 9], [0, 37, 37, 9], [20, 17, 23, 13], [20, 37, 3, 13]], [9, 13], No]

source roles = [0, 10, [0, 20], [18, 38]]

derived = [[[0, 18, 18, 10], [0, 38, 38, 10], [20, 18, 22, 12], [20, 38, 2, 12]], [10, 12], No]

source roles = [0, 11, [0, 20], [19, 39]]

derived = [[[0, 19, 19, 11], [0, 39, 39, 11], [20, 19, 21, 1], [20, 39, 1, 1]], [1, 11], No]

source roles = [0, 12, [0, 20], [2, 22]]

derived = [[[0, 2, 2, 12], [0, 22, 22, 12], [20, 2, 38, 10], [20, 22, 18, 10]], [10, 12], No]

source roles = [0, 13, [0, 20], [3, 23]]

derived = [[[0, 3, 3, 13], [0, 23, 23, 13], [20, 3, 37, 9], [20, 23, 17, 9]], [9, 13], No]

source roles = [0, 14, [0, 20], [4, 24]]

derived = [[[0, 4, 4, 14], [0, 24, 24, 14], [20, 4, 36, 8], [20, 24, 16, 8]], [8, 14], No]

source roles = [0, 15, [0, 20], [5, 25]]

derived = [[[0, 5, 5, 15], [0, 25, 25, 15], [20, 5, 35, 7], [20, 25, 15, 7]], [7, 15], No]

source roles = [0, 16, [0, 20], [6, 26]]

derived = [[[0, 6, 6, 16], [0, 26, 26, 16], [20, 6, 34, 6], [20, 26, 14, 6]], [6, 16], No]

source roles = [0, 17, [0, 20], [7, 27]]

derived = [[[0, 7, 7, 17], [0, 27, 27, 17], [20, 7, 33, 5], [20, 27, 13, 5]], [5, 17], No]

source roles = [0, 18, [0, 20], [8, 28]]

derived = [[[0, 8, 8, 18], [0, 28, 28, 18], [20, 8, 32, 4], [20, 28, 12, 4]], [4, 18], No]

source roles = [0, 19, [0, 20], [9, 29]]

derived = [[[0, 9, 9, 19], [0, 29, 29, 19], [20, 9, 31, 3], [20, 29, 11, 3]], [3, 19], No]

source roles = [1, 0, [1, 21], [0, 20]]

derived = [[[1, 0, 1, 1], [1, 20, 21, 1], [21, 0, 21, 1], [21, 20, 1, 1]], [1], Yes]

source roles = [1, 1, [1, 21], [1, 21]]

derived = [[[1, 1, 2, 12], [1, 21, 22, 12], [21, 1, 20, 0], [21, 21, 0, 0]], [0, 12], No]

source roles = [1, 2, [1, 21], [10, 30]]

derived = [[[1, 10, 11, 3], [1, 30, 31, 3], [21, 10, 31, 3], [21, 30, 11, 3]], [3], Yes]

source roles = [1, 3, [1, 21], [11, 31]]

derived = [[[1, 11, 12, 4], [1, 31, 32, 4], [21, 11, 30, 2], [21, 31, 10, 2]], [2, 4], No]

source roles = [1, 4, [1, 21], [12, 32]]

derived = [[[1, 12, 13, 5], [1, 32, 33, 5], [21, 12, 29, 19], [21, 32, 9, 19]], [5, 19], No]

source roles = [1, 5, [1, 21], [13, 33]]

derived = [[[1, 13, 14, 6], [1, 33, 34, 6], [21, 13, 28, 18], [21, 33, 8, 18]], [6, 18], No]

source roles = [1, 6, [1, 21], [14, 34]]

derived = [[[1, 14, 15, 7], [1, 34, 35, 7], [21, 14, 27, 17], [21, 34, 7, 17]], [7, 17], No]

source roles = [1, 7, [1, 21], [15, 35]]

derived = [[[1, 15, 16, 8], [1, 35, 36, 8], [21, 15, 26, 16], [21, 35, 6, 16]], [8, 16], No]

source roles = [1, 8, [1, 21], [16, 36]]

derived = [[[1, 16, 17, 9], [1, 36, 37, 9], [21, 16, 25, 15], [21, 36, 5, 15]], [9, 15], No]

source roles = [1, 9, [1, 21], [17, 37]]

derived = [[[1, 17, 18, 10], [1, 37, 38, 10], [21, 17, 24, 14], [21, 37, 4, 14]], [10, 14], No]

source roles = [1, 10, [1, 21], [18, 38]]

derived = [[[1, 18, 19, 11], [1, 38, 39, 11], [21, 18, 23, 13], [21, 38, 3, 13]], [11, 13], No]

source roles = [1, 11, [1, 21], [19, 39]]

derived = [[[1, 19, 0, 0], [1, 39, 20, 0], [21, 19, 22, 12], [21, 39, 2, 12]], [0, 12], No]

source roles = [1, 12, [1, 21], [2, 22]]

derived = [[[1, 2, 3, 13], [1, 22, 23, 13], [21, 2, 39, 11], [21, 22, 19, 11]], [11, 13], No]

source roles = [1, 13, [1, 21], [3, 23]]

derived = [[[1, 3, 4, 14], [1, 23, 24, 14], [21, 3, 38, 10], [21, 23, 18, 10]], [10, 14], No]

source roles = [1, 14, [1, 21], [4, 24]]

derived = [[[1, 4, 5, 15], [1, 24, 25, 15], [21, 4, 37, 9], [21, 24, 17, 9]], [9, 15], No]

source roles = [1, 15, [1, 21], [5, 25]]

derived = [[[1, 5, 6, 16], [1, 25, 26, 16], [21, 5, 36, 8], [21, 25, 16, 8]], [8, 16], No]

source roles = [1, 16, [1, 21], [6, 26]]

derived = [[[1, 6, 7, 17], [1, 26, 27, 17], [21, 6, 35, 7], [21, 26, 15, 7]], [7, 17], No]

source roles = [1, 17, [1, 21], [7, 27]]

derived = [[[1, 7, 8, 18], [1, 27, 28, 18], [21, 7, 34, 6], [21, 27, 14, 6]], [6, 18], No]

source roles = [1, 18, [1, 21], [8, 28]]

derived = [[[1, 8, 9, 19], [1, 28, 29, 19], [21, 8, 33, 5], [21, 28, 13, 5]], [5, 19], No]

source roles = [1, 19, [1, 21], [9, 29]]

derived = [[[1, 9, 10, 2], [1, 29, 30, 2], [21, 9, 32, 4], [21, 29, 12, 4]], [2, 4], No]

source roles = [2, 0, [10, 30], [0, 20]]

derived = [[[10, 0, 10, 2], [10, 20, 30, 2], [30, 0, 30, 2], [30, 20, 10, 2]], [2], Yes]

source roles = [2, 1, [10, 30], [1, 21]]

derived = [[[10, 1, 11, 3], [10, 21, 31, 3], [30, 1, 29, 19], [30, 21, 9, 19]], [3, 19], No]

source roles = [2, 2, [10, 30], [10, 30]]

derived = [[[10, 10, 0, 0], [10, 30, 20, 0], [30, 10, 20, 0], [30, 30, 0, 0]], [0], Yes]

source roles = [2, 3, [10, 30], [11, 31]]

derived = [[[10, 11, 1, 1], [10, 31, 21, 1], [30, 11, 39, 11], [30, 31, 19, 11]], [1, 11], No]

source roles = [2, 4, [10, 30], [12, 32]]

derived = [[[10, 12, 2, 12], [10, 32, 22, 12], [30, 12, 38, 10], [30, 32, 18, 10]], [10, 12], No]

source roles = [2, 5, [10, 30], [13, 33]]

derived = [[[10, 13, 3, 13], [10, 33, 23, 13], [30, 13, 37, 9], [30, 33, 17, 9]], [9, 13], No]

source roles = [2, 6, [10, 30], [14, 34]]

derived = [[[10, 14, 4, 14], [10, 34, 24, 14], [30, 14, 36, 8], [30, 34, 16, 8]], [8, 14], No]

source roles = [2, 7, [10, 30], [15, 35]]

derived = [[[10, 15, 5, 15], [10, 35, 25, 15], [30, 15, 35, 7], [30, 35, 15, 7]], [7, 15], No]

source roles = [2, 8, [10, 30], [16, 36]]

derived = [[[10, 16, 6, 16], [10, 36, 26, 16], [30, 16, 34, 6], [30, 36, 14, 6]], [6, 16], No]

source roles = [2, 9, [10, 30], [17, 37]]

derived = [[[10, 17, 7, 17], [10, 37, 27, 17], [30, 17, 33, 5], [30, 37, 13, 5]], [5, 17], No]

source roles = [2, 10, [10, 30], [18, 38]]

derived = [[[10, 18, 8, 18], [10, 38, 28, 18], [30, 18, 32, 4], [30, 38, 12, 4]], [4, 18], No]

source roles = [2, 11, [10, 30], [19, 39]]

derived = [[[10, 19, 9, 19], [10, 39, 29, 19], [30, 19, 31, 3], [30, 39, 11, 3]], [3, 19], No]

source roles = [2, 12, [10, 30], [2, 22]]

derived = [[[10, 2, 12, 4], [10, 22, 32, 4], [30, 2, 28, 18], [30, 22, 8, 18]], [4, 18], No]

source roles = [2, 13, [10, 30], [3, 23]]

derived = [[[10, 3, 13, 5], [10, 23, 33, 5], [30, 3, 27, 17], [30, 23, 7, 17]], [5, 17], No]

source roles = [2, 14, [10, 30], [4, 24]]

derived = [[[10, 4, 14, 6], [10, 24, 34, 6], [30, 4, 26, 16], [30, 24, 6, 16]], [6, 16], No]

source roles = [2, 15, [10, 30], [5, 25]]

derived = [[[10, 5, 15, 7], [10, 25, 35, 7], [30, 5, 25, 15], [30, 25, 5, 15]], [7, 15], No]

source roles = [2, 16, [10, 30], [6, 26]]

derived = [[[10, 6, 16, 8], [10, 26, 36, 8], [30, 6, 24, 14], [30, 26, 4, 14]], [8, 14], No]

source roles = [2, 17, [10, 30], [7, 27]]

derived = [[[10, 7, 17, 9], [10, 27, 37, 9], [30, 7, 23, 13], [30, 27, 3, 13]], [9, 13], No]

source roles = [2, 18, [10, 30], [8, 28]]

derived = [[[10, 8, 18, 10], [10, 28, 38, 10], [30, 8, 22, 12], [30, 28, 2, 12]], [10, 12], No]

source roles = [2, 19, [10, 30], [9, 29]]

derived = [[[10, 9, 19, 11], [10, 29, 39, 11], [30, 9, 21, 1], [30, 29, 1, 1]], [1, 11], No]

source roles = [3, 0, [11, 31], [0, 20]]

derived = [[[11, 0, 11, 3], [11, 20, 31, 3], [31, 0, 31, 3], [31, 20, 11, 3]], [3], Yes]

source roles = [3, 1, [11, 31], [1, 21]]

derived = [[[11, 1, 12, 4], [11, 21, 32, 4], [31, 1, 30, 2], [31, 21, 10, 2]], [2, 4], No]

source roles = [3, 2, [11, 31], [10, 30]]

derived = [[[11, 10, 1, 1], [11, 30, 21, 1], [31, 10, 21, 1], [31, 30, 1, 1]], [1], Yes]

source roles = [3, 3, [11, 31], [11, 31]]

derived = [[[11, 11, 2, 12], [11, 31, 22, 12], [31, 11, 20, 0], [31, 31, 0, 0]], [0, 12], No]

source roles = [3, 4, [11, 31], [12, 32]]

derived = [[[11, 12, 3, 13], [11, 32, 23, 13], [31, 12, 39, 11], [31, 32, 19, 11]], [11, 13], No]

source roles = [3, 5, [11, 31], [13, 33]]

derived = [[[11, 13, 4, 14], [11, 33, 24, 14], [31, 13, 38, 10], [31, 33, 18, 10]], [10, 14], No]

source roles = [3, 6, [11, 31], [14, 34]]

derived = [[[11, 14, 5, 15], [11, 34, 25, 15], [31, 14, 37, 9], [31, 34, 17, 9]], [9, 15], No]

source roles = [3, 7, [11, 31], [15, 35]]

derived = [[[11, 15, 6, 16], [11, 35, 26, 16], [31, 15, 36, 8], [31, 35, 16, 8]], [8, 16], No]

source roles = [3, 8, [11, 31], [16, 36]]

derived = [[[11, 16, 7, 17], [11, 36, 27, 17], [31, 16, 35, 7], [31, 36, 15, 7]], [7, 17], No]

source roles = [3, 9, [11, 31], [17, 37]]

derived = [[[11, 17, 8, 18], [11, 37, 28, 18], [31, 17, 34, 6], [31, 37, 14, 6]], [6, 18], No]

source roles = [3, 10, [11, 31], [18, 38]]

derived = [[[11, 18, 9, 19], [11, 38, 29, 19], [31, 18, 33, 5], [31, 38, 13, 5]], [5, 19], No]

source roles = [3, 11, [11, 31], [19, 39]]

derived = [[[11, 19, 10, 2], [11, 39, 30, 2], [31, 19, 32, 4], [31, 39, 12, 4]], [2, 4], No]

source roles = [3, 12, [11, 31], [2, 22]]

derived = [[[11, 2, 13, 5], [11, 22, 33, 5], [31, 2, 29, 19], [31, 22, 9, 19]], [5, 19], No]

source roles = [3, 13, [11, 31], [3, 23]]

derived = [[[11, 3, 14, 6], [11, 23, 34, 6], [31, 3, 28, 18], [31, 23, 8, 18]], [6, 18], No]

source roles = [3, 14, [11, 31], [4, 24]]

derived = [[[11, 4, 15, 7], [11, 24, 35, 7], [31, 4, 27, 17], [31, 24, 7, 17]], [7, 17], No]

source roles = [3, 15, [11, 31], [5, 25]]

derived = [[[11, 5, 16, 8], [11, 25, 36, 8], [31, 5, 26, 16], [31, 25, 6, 16]], [8, 16], No]

source roles = [3, 16, [11, 31], [6, 26]]

derived = [[[11, 6, 17, 9], [11, 26, 37, 9], [31, 6, 25, 15], [31, 26, 5, 15]], [9, 15], No]

source roles = [3, 17, [11, 31], [7, 27]]

derived = [[[11, 7, 18, 10], [11, 27, 38, 10], [31, 7, 24, 14], [31, 27, 4, 14]], [10, 14], No]

source roles = [3, 18, [11, 31], [8, 28]]

derived = [[[11, 8, 19, 11], [11, 28, 39, 11], [31, 8, 23, 13], [31, 28, 3, 13]], [11, 13], No]

source roles = [3, 19, [11, 31], [9, 29]]

derived = [[[11, 9, 0, 0], [11, 29, 20, 0], [31, 9, 22, 12], [31, 29, 2, 12]], [0, 12], No]

source roles = [4, 0, [12, 32], [0, 20]]

derived = [[[12, 0, 12, 4], [12, 20, 32, 4], [32, 0, 32, 4], [32, 20, 12, 4]], [4], Yes]

source roles = [4, 1, [12, 32], [1, 21]]

derived = [[[12, 1, 13, 5], [12, 21, 33, 5], [32, 1, 31, 3], [32, 21, 11, 3]], [3, 5], No]

source roles = [4, 2, [12, 32], [10, 30]]

derived = [[[12, 10, 2, 12], [12, 30, 22, 12], [32, 10, 22, 12], [32, 30, 2, 12]], [12], Yes]

source roles = [4, 3, [12, 32], [11, 31]]

derived = [[[12, 11, 3, 13], [12, 31, 23, 13], [32, 11, 21, 1], [32, 31, 1, 1]], [1, 13], No]

source roles = [4, 4, [12, 32], [12, 32]]

derived = [[[12, 12, 4, 14], [12, 32, 24, 14], [32, 12, 20, 0], [32, 32, 0, 0]], [0, 14], No]

source roles = [4, 5, [12, 32], [13, 33]]

derived = [[[12, 13, 5, 15], [12, 33, 25, 15], [32, 13, 39, 11], [32, 33, 19, 11]], [11, 15], No]

source roles = [4, 6, [12, 32], [14, 34]]

derived = [[[12, 14, 6, 16], [12, 34, 26, 16], [32, 14, 38, 10], [32, 34, 18, 10]], [10, 16], No]

source roles = [4, 7, [12, 32], [15, 35]]

derived = [[[12, 15, 7, 17], [12, 35, 27, 17], [32, 15, 37, 9], [32, 35, 17, 9]], [9, 17], No]

source roles = [4, 8, [12, 32], [16, 36]]

derived = [[[12, 16, 8, 18], [12, 36, 28, 18], [32, 16, 36, 8], [32, 36, 16, 8]], [8, 18], No]

source roles = [4, 9, [12, 32], [17, 37]]

derived = [[[12, 17, 9, 19], [12, 37, 29, 19], [32, 17, 35, 7], [32, 37, 15, 7]], [7, 19], No]

source roles = [4, 10, [12, 32], [18, 38]]

derived = [[[12, 18, 10, 2], [12, 38, 30, 2], [32, 18, 34, 6], [32, 38, 14, 6]], [2, 6], No]

source roles = [4, 11, [12, 32], [19, 39]]

derived = [[[12, 19, 11, 3], [12, 39, 31, 3], [32, 19, 33, 5], [32, 39, 13, 5]], [3, 5], No]

source roles = [4, 12, [12, 32], [2, 22]]

derived = [[[12, 2, 14, 6], [12, 22, 34, 6], [32, 2, 30, 2], [32, 22, 10, 2]], [2, 6], No]

source roles = [4, 13, [12, 32], [3, 23]]

derived = [[[12, 3, 15, 7], [12, 23, 35, 7], [32, 3, 29, 19], [32, 23, 9, 19]], [7, 19], No]

source roles = [4, 14, [12, 32], [4, 24]]

derived = [[[12, 4, 16, 8], [12, 24, 36, 8], [32, 4, 28, 18], [32, 24, 8, 18]], [8, 18], No]

source roles = [4, 15, [12, 32], [5, 25]]

derived = [[[12, 5, 17, 9], [12, 25, 37, 9], [32, 5, 27, 17], [32, 25, 7, 17]], [9, 17], No]

source roles = [4, 16, [12, 32], [6, 26]]

derived = [[[12, 6, 18, 10], [12, 26, 38, 10], [32, 6, 26, 16], [32, 26, 6, 16]], [10, 16], No]

source roles = [4, 17, [12, 32], [7, 27]]

derived = [[[12, 7, 19, 11], [12, 27, 39, 11], [32, 7, 25, 15], [32, 27, 5, 15]], [11, 15], No]

source roles = [4, 18, [12, 32], [8, 28]]

derived = [[[12, 8, 0, 0], [12, 28, 20, 0], [32, 8, 24, 14], [32, 28, 4, 14]], [0, 14], No]

source roles = [4, 19, [12, 32], [9, 29]]

derived = [[[12, 9, 1, 1], [12, 29, 21, 1], [32, 9, 23, 13], [32, 29, 3, 13]], [1, 13], No]

source roles = [5, 0, [13, 33], [0, 20]]

derived = [[[13, 0, 13, 5], [13, 20, 33, 5], [33, 0, 33, 5], [33, 20, 13, 5]], [5], Yes]

source roles = [5, 1, [13, 33], [1, 21]]

derived = [[[13, 1, 14, 6], [13, 21, 34, 6], [33, 1, 32, 4], [33, 21, 12, 4]], [4, 6], No]

source roles = [5, 2, [13, 33], [10, 30]]

derived = [[[13, 10, 3, 13], [13, 30, 23, 13], [33, 10, 23, 13], [33, 30, 3, 13]], [13], Yes]

source roles = [5, 3, [13, 33], [11, 31]]

derived = [[[13, 11, 4, 14], [13, 31, 24, 14], [33, 11, 22, 12], [33, 31, 2, 12]], [12, 14], No]

source roles = [5, 4, [13, 33], [12, 32]]

derived = [[[13, 12, 5, 15], [13, 32, 25, 15], [33, 12, 21, 1], [33, 32, 1, 1]], [1, 15], No]

source roles = [5, 5, [13, 33], [13, 33]]

derived = [[[13, 13, 6, 16], [13, 33, 26, 16], [33, 13, 20, 0], [33, 33, 0, 0]], [0, 16], No]

source roles = [5, 6, [13, 33], [14, 34]]

derived = [[[13, 14, 7, 17], [13, 34, 27, 17], [33, 14, 39, 11], [33, 34, 19, 11]], [11, 17], No]

source roles = [5, 7, [13, 33], [15, 35]]

derived = [[[13, 15, 8, 18], [13, 35, 28, 18], [33, 15, 38, 10], [33, 35, 18, 10]], [10, 18], No]

source roles = [5, 8, [13, 33], [16, 36]]

derived = [[[13, 16, 9, 19], [13, 36, 29, 19], [33, 16, 37, 9], [33, 36, 17, 9]], [9, 19], No]

source roles = [5, 9, [13, 33], [17, 37]]

derived = [[[13, 17, 10, 2], [13, 37, 30, 2], [33, 17, 36, 8], [33, 37, 16, 8]], [2, 8], No]

source roles = [5, 10, [13, 33], [18, 38]]

derived = [[[13, 18, 11, 3], [13, 38, 31, 3], [33, 18, 35, 7], [33, 38, 15, 7]], [3, 7], No]

source roles = [5, 11, [13, 33], [19, 39]]

derived = [[[13, 19, 12, 4], [13, 39, 32, 4], [33, 19, 34, 6], [33, 39, 14, 6]], [4, 6], No]

source roles = [5, 12, [13, 33], [2, 22]]

derived = [[[13, 2, 15, 7], [13, 22, 35, 7], [33, 2, 31, 3], [33, 22, 11, 3]], [3, 7], No]

source roles = [5, 13, [13, 33], [3, 23]]

derived = [[[13, 3, 16, 8], [13, 23, 36, 8], [33, 3, 30, 2], [33, 23, 10, 2]], [2, 8], No]

source roles = [5, 14, [13, 33], [4, 24]]

derived = [[[13, 4, 17, 9], [13, 24, 37, 9], [33, 4, 29, 19], [33, 24, 9, 19]], [9, 19], No]

source roles = [5, 15, [13, 33], [5, 25]]

derived = [[[13, 5, 18, 10], [13, 25, 38, 10], [33, 5, 28, 18], [33, 25, 8, 18]], [10, 18], No]

source roles = [5, 16, [13, 33], [6, 26]]

derived = [[[13, 6, 19, 11], [13, 26, 39, 11], [33, 6, 27, 17], [33, 26, 7, 17]], [11, 17], No]

source roles = [5, 17, [13, 33], [7, 27]]

derived = [[[13, 7, 0, 0], [13, 27, 20, 0], [33, 7, 26, 16], [33, 27, 6, 16]], [0, 16], No]

source roles = [5, 18, [13, 33], [8, 28]]

derived = [[[13, 8, 1, 1], [13, 28, 21, 1], [33, 8, 25, 15], [33, 28, 5, 15]], [1, 15], No]

source roles = [5, 19, [13, 33], [9, 29]]

derived = [[[13, 9, 2, 12], [13, 29, 22, 12], [33, 9, 24, 14], [33, 29, 4, 14]], [12, 14], No]

source roles = [6, 0, [14, 34], [0, 20]]

derived = [[[14, 0, 14, 6], [14, 20, 34, 6], [34, 0, 34, 6], [34, 20, 14, 6]], [6], Yes]

source roles = [6, 1, [14, 34], [1, 21]]

derived = [[[14, 1, 15, 7], [14, 21, 35, 7], [34, 1, 33, 5], [34, 21, 13, 5]], [5, 7], No]

source roles = [6, 2, [14, 34], [10, 30]]

derived = [[[14, 10, 4, 14], [14, 30, 24, 14], [34, 10, 24, 14], [34, 30, 4, 14]], [14], Yes]

source roles = [6, 3, [14, 34], [11, 31]]

derived = [[[14, 11, 5, 15], [14, 31, 25, 15], [34, 11, 23, 13], [34, 31, 3, 13]], [13, 15], No]

source roles = [6, 4, [14, 34], [12, 32]]

derived = [[[14, 12, 6, 16], [14, 32, 26, 16], [34, 12, 22, 12], [34, 32, 2, 12]], [12, 16], No]

source roles = [6, 5, [14, 34], [13, 33]]

derived = [[[14, 13, 7, 17], [14, 33, 27, 17], [34, 13, 21, 1], [34, 33, 1, 1]], [1, 17], No]

source roles = [6, 6, [14, 34], [14, 34]]

derived = [[[14, 14, 8, 18], [14, 34, 28, 18], [34, 14, 20, 0], [34, 34, 0, 0]], [0, 18], No]

source roles = [6, 7, [14, 34], [15, 35]]

derived = [[[14, 15, 9, 19], [14, 35, 29, 19], [34, 15, 39, 11], [34, 35, 19, 11]], [11, 19], No]

source roles = [6, 8, [14, 34], [16, 36]]

derived = [[[14, 16, 10, 2], [14, 36, 30, 2], [34, 16, 38, 10], [34, 36, 18, 10]], [2, 10], No]

source roles = [6, 9, [14, 34], [17, 37]]

derived = [[[14, 17, 11, 3], [14, 37, 31, 3], [34, 17, 37, 9], [34, 37, 17, 9]], [3, 9], No]

source roles = [6, 10, [14, 34], [18, 38]]

derived = [[[14, 18, 12, 4], [14, 38, 32, 4], [34, 18, 36, 8], [34, 38, 16, 8]], [4, 8], No]

source roles = [6, 11, [14, 34], [19, 39]]

derived = [[[14, 19, 13, 5], [14, 39, 33, 5], [34, 19, 35, 7], [34, 39, 15, 7]], [5, 7], No]

source roles = [6, 12, [14, 34], [2, 22]]

derived = [[[14, 2, 16, 8], [14, 22, 36, 8], [34, 2, 32, 4], [34, 22, 12, 4]], [4, 8], No]

source roles = [6, 13, [14, 34], [3, 23]]

derived = [[[14, 3, 17, 9], [14, 23, 37, 9], [34, 3, 31, 3], [34, 23, 11, 3]], [3, 9], No]

source roles = [6, 14, [14, 34], [4, 24]]

derived = [[[14, 4, 18, 10], [14, 24, 38, 10], [34, 4, 30, 2], [34, 24, 10, 2]], [2, 10], No]

source roles = [6, 15, [14, 34], [5, 25]]

derived = [[[14, 5, 19, 11], [14, 25, 39, 11], [34, 5, 29, 19], [34, 25, 9, 19]], [11, 19], No]

source roles = [6, 16, [14, 34], [6, 26]]

derived = [[[14, 6, 0, 0], [14, 26, 20, 0], [34, 6, 28, 18], [34, 26, 8, 18]], [0, 18], No]

source roles = [6, 17, [14, 34], [7, 27]]

derived = [[[14, 7, 1, 1], [14, 27, 21, 1], [34, 7, 27, 17], [34, 27, 7, 17]], [1, 17], No]

source roles = [6, 18, [14, 34], [8, 28]]

derived = [[[14, 8, 2, 12], [14, 28, 22, 12], [34, 8, 26, 16], [34, 28, 6, 16]], [12, 16], No]

source roles = [6, 19, [14, 34], [9, 29]]

derived = [[[14, 9, 3, 13], [14, 29, 23, 13], [34, 9, 25, 15], [34, 29, 5, 15]], [13, 15], No]

source roles = [7, 0, [15, 35], [0, 20]]

derived = [[[15, 0, 15, 7], [15, 20, 35, 7], [35, 0, 35, 7], [35, 20, 15, 7]], [7], Yes]

source roles = [7, 1, [15, 35], [1, 21]]

derived = [[[15, 1, 16, 8], [15, 21, 36, 8], [35, 1, 34, 6], [35, 21, 14, 6]], [6, 8], No]

source roles = [7, 2, [15, 35], [10, 30]]

derived = [[[15, 10, 5, 15], [15, 30, 25, 15], [35, 10, 25, 15], [35, 30, 5, 15]], [15], Yes]

source roles = [7, 3, [15, 35], [11, 31]]

derived = [[[15, 11, 6, 16], [15, 31, 26, 16], [35, 11, 24, 14], [35, 31, 4, 14]], [14, 16], No]

source roles = [7, 4, [15, 35], [12, 32]]

derived = [[[15, 12, 7, 17], [15, 32, 27, 17], [35, 12, 23, 13], [35, 32, 3, 13]], [13, 17], No]

source roles = [7, 5, [15, 35], [13, 33]]

derived = [[[15, 13, 8, 18], [15, 33, 28, 18], [35, 13, 22, 12], [35, 33, 2, 12]], [12, 18], No]

source roles = [7, 6, [15, 35], [14, 34]]

derived = [[[15, 14, 9, 19], [15, 34, 29, 19], [35, 14, 21, 1], [35, 34, 1, 1]], [1, 19], No]

source roles = [7, 7, [15, 35], [15, 35]]

derived = [[[15, 15, 10, 2], [15, 35, 30, 2], [35, 15, 20, 0], [35, 35, 0, 0]], [0, 2], No]

source roles = [7, 8, [15, 35], [16, 36]]

derived = [[[15, 16, 11, 3], [15, 36, 31, 3], [35, 16, 39, 11], [35, 36, 19, 11]], [3, 11], No]

source roles = [7, 9, [15, 35], [17, 37]]

derived = [[[15, 17, 12, 4], [15, 37, 32, 4], [35, 17, 38, 10], [35, 37, 18, 10]], [4, 10], No]

source roles = [7, 10, [15, 35], [18, 38]]

derived = [[[15, 18, 13, 5], [15, 38, 33, 5], [35, 18, 37, 9], [35, 38, 17, 9]], [5, 9], No]

source roles = [7, 11, [15, 35], [19, 39]]

derived = [[[15, 19, 14, 6], [15, 39, 34, 6], [35, 19, 36, 8], [35, 39, 16, 8]], [6, 8], No]

source roles = [7, 12, [15, 35], [2, 22]]

derived = [[[15, 2, 17, 9], [15, 22, 37, 9], [35, 2, 33, 5], [35, 22, 13, 5]], [5, 9], No]

source roles = [7, 13, [15, 35], [3, 23]]

derived = [[[15, 3, 18, 10], [15, 23, 38, 10], [35, 3, 32, 4], [35, 23, 12, 4]], [4, 10], No]

source roles = [7, 14, [15, 35], [4, 24]]

derived = [[[15, 4, 19, 11], [15, 24, 39, 11], [35, 4, 31, 3], [35, 24, 11, 3]], [3, 11], No]

source roles = [7, 15, [15, 35], [5, 25]]

derived = [[[15, 5, 0, 0], [15, 25, 20, 0], [35, 5, 30, 2], [35, 25, 10, 2]], [0, 2], No]

source roles = [7, 16, [15, 35], [6, 26]]

derived = [[[15, 6, 1, 1], [15, 26, 21, 1], [35, 6, 29, 19], [35, 26, 9, 19]], [1, 19], No]

source roles = [7, 17, [15, 35], [7, 27]]

derived = [[[15, 7, 2, 12], [15, 27, 22, 12], [35, 7, 28, 18], [35, 27, 8, 18]], [12, 18], No]

source roles = [7, 18, [15, 35], [8, 28]]

derived = [[[15, 8, 3, 13], [15, 28, 23, 13], [35, 8, 27, 17], [35, 28, 7, 17]], [13, 17], No]

source roles = [7, 19, [15, 35], [9, 29]]

derived = [[[15, 9, 4, 14], [15, 29, 24, 14], [35, 9, 26, 16], [35, 29, 6, 16]], [14, 16], No]

source roles = [8, 0, [16, 36], [0, 20]]

derived = [[[16, 0, 16, 8], [16, 20, 36, 8], [36, 0, 36, 8], [36, 20, 16, 8]], [8], Yes]

source roles = [8, 1, [16, 36], [1, 21]]

derived = [[[16, 1, 17, 9], [16, 21, 37, 9], [36, 1, 35, 7], [36, 21, 15, 7]], [7, 9], No]

source roles = [8, 2, [16, 36], [10, 30]]

derived = [[[16, 10, 6, 16], [16, 30, 26, 16], [36, 10, 26, 16], [36, 30, 6, 16]], [16], Yes]

source roles = [8, 3, [16, 36], [11, 31]]

derived = [[[16, 11, 7, 17], [16, 31, 27, 17], [36, 11, 25, 15], [36, 31, 5, 15]], [15, 17], No]

source roles = [8, 4, [16, 36], [12, 32]]

derived = [[[16, 12, 8, 18], [16, 32, 28, 18], [36, 12, 24, 14], [36, 32, 4, 14]], [14, 18], No]

source roles = [8, 5, [16, 36], [13, 33]]

derived = [[[16, 13, 9, 19], [16, 33, 29, 19], [36, 13, 23, 13], [36, 33, 3, 13]], [13, 19], No]

source roles = [8, 6, [16, 36], [14, 34]]

derived = [[[16, 14, 10, 2], [16, 34, 30, 2], [36, 14, 22, 12], [36, 34, 2, 12]], [2, 12], No]

source roles = [8, 7, [16, 36], [15, 35]]

derived = [[[16, 15, 11, 3], [16, 35, 31, 3], [36, 15, 21, 1], [36, 35, 1, 1]], [1, 3], No]

source roles = [8, 8, [16, 36], [16, 36]]

derived = [[[16, 16, 12, 4], [16, 36, 32, 4], [36, 16, 20, 0], [36, 36, 0, 0]], [0, 4], No]

source roles = [8, 9, [16, 36], [17, 37]]

derived = [[[16, 17, 13, 5], [16, 37, 33, 5], [36, 17, 39, 11], [36, 37, 19, 11]], [5, 11], No]

source roles = [8, 10, [16, 36], [18, 38]]

derived = [[[16, 18, 14, 6], [16, 38, 34, 6], [36, 18, 38, 10], [36, 38, 18, 10]], [6, 10], No]

source roles = [8, 11, [16, 36], [19, 39]]

derived = [[[16, 19, 15, 7], [16, 39, 35, 7], [36, 19, 37, 9], [36, 39, 17, 9]], [7, 9], No]

source roles = [8, 12, [16, 36], [2, 22]]

derived = [[[16, 2, 18, 10], [16, 22, 38, 10], [36, 2, 34, 6], [36, 22, 14, 6]], [6, 10], No]

source roles = [8, 13, [16, 36], [3, 23]]

derived = [[[16, 3, 19, 11], [16, 23, 39, 11], [36, 3, 33, 5], [36, 23, 13, 5]], [5, 11], No]

source roles = [8, 14, [16, 36], [4, 24]]

derived = [[[16, 4, 0, 0], [16, 24, 20, 0], [36, 4, 32, 4], [36, 24, 12, 4]], [0, 4], No]

source roles = [8, 15, [16, 36], [5, 25]]

derived = [[[16, 5, 1, 1], [16, 25, 21, 1], [36, 5, 31, 3], [36, 25, 11, 3]], [1, 3], No]

source roles = [8, 16, [16, 36], [6, 26]]

derived = [[[16, 6, 2, 12], [16, 26, 22, 12], [36, 6, 30, 2], [36, 26, 10, 2]], [2, 12], No]

source roles = [8, 17, [16, 36], [7, 27]]

derived = [[[16, 7, 3, 13], [16, 27, 23, 13], [36, 7, 29, 19], [36, 27, 9, 19]], [13, 19], No]

source roles = [8, 18, [16, 36], [8, 28]]

derived = [[[16, 8, 4, 14], [16, 28, 24, 14], [36, 8, 28, 18], [36, 28, 8, 18]], [14, 18], No]

source roles = [8, 19, [16, 36], [9, 29]]

derived = [[[16, 9, 5, 15], [16, 29, 25, 15], [36, 9, 27, 17], [36, 29, 7, 17]], [15, 17], No]

source roles = [9, 0, [17, 37], [0, 20]]

derived = [[[17, 0, 17, 9], [17, 20, 37, 9], [37, 0, 37, 9], [37, 20, 17, 9]], [9], Yes]

source roles = [9, 1, [17, 37], [1, 21]]

derived = [[[17, 1, 18, 10], [17, 21, 38, 10], [37, 1, 36, 8], [37, 21, 16, 8]], [8, 10], No]

source roles = [9, 2, [17, 37], [10, 30]]

derived = [[[17, 10, 7, 17], [17, 30, 27, 17], [37, 10, 27, 17], [37, 30, 7, 17]], [17], Yes]

source roles = [9, 3, [17, 37], [11, 31]]

derived = [[[17, 11, 8, 18], [17, 31, 28, 18], [37, 11, 26, 16], [37, 31, 6, 16]], [16, 18], No]

source roles = [9, 4, [17, 37], [12, 32]]

derived = [[[17, 12, 9, 19], [17, 32, 29, 19], [37, 12, 25, 15], [37, 32, 5, 15]], [15, 19], No]

source roles = [9, 5, [17, 37], [13, 33]]

derived = [[[17, 13, 10, 2], [17, 33, 30, 2], [37, 13, 24, 14], [37, 33, 4, 14]], [2, 14], No]

source roles = [9, 6, [17, 37], [14, 34]]

derived = [[[17, 14, 11, 3], [17, 34, 31, 3], [37, 14, 23, 13], [37, 34, 3, 13]], [3, 13], No]

source roles = [9, 7, [17, 37], [15, 35]]

derived = [[[17, 15, 12, 4], [17, 35, 32, 4], [37, 15, 22, 12], [37, 35, 2, 12]], [4, 12], No]

source roles = [9, 8, [17, 37], [16, 36]]

derived = [[[17, 16, 13, 5], [17, 36, 33, 5], [37, 16, 21, 1], [37, 36, 1, 1]], [1, 5], No]

source roles = [9, 9, [17, 37], [17, 37]]

derived = [[[17, 17, 14, 6], [17, 37, 34, 6], [37, 17, 20, 0], [37, 37, 0, 0]], [0, 6], No]

source roles = [9, 10, [17, 37], [18, 38]]

derived = [[[17, 18, 15, 7], [17, 38, 35, 7], [37, 18, 39, 11], [37, 38, 19, 11]], [7, 11], No]

source roles = [9, 11, [17, 37], [19, 39]]

derived = [[[17, 19, 16, 8], [17, 39, 36, 8], [37, 19, 38, 10], [37, 39, 18, 10]], [8, 10], No]

source roles = [9, 12, [17, 37], [2, 22]]

derived = [[[17, 2, 19, 11], [17, 22, 39, 11], [37, 2, 35, 7], [37, 22, 15, 7]], [7, 11], No]

source roles = [9, 13, [17, 37], [3, 23]]

derived = [[[17, 3, 0, 0], [17, 23, 20, 0], [37, 3, 34, 6], [37, 23, 14, 6]], [0, 6], No]

source roles = [9, 14, [17, 37], [4, 24]]

derived = [[[17, 4, 1, 1], [17, 24, 21, 1], [37, 4, 33, 5], [37, 24, 13, 5]], [1, 5], No]

source roles = [9, 15, [17, 37], [5, 25]]

derived = [[[17, 5, 2, 12], [17, 25, 22, 12], [37, 5, 32, 4], [37, 25, 12, 4]], [4, 12], No]

source roles = [9, 16, [17, 37], [6, 26]]

derived = [[[17, 6, 3, 13], [17, 26, 23, 13], [37, 6, 31, 3], [37, 26, 11, 3]], [3, 13], No]

source roles = [9, 17, [17, 37], [7, 27]]

derived = [[[17, 7, 4, 14], [17, 27, 24, 14], [37, 7, 30, 2], [37, 27, 10, 2]], [2, 14], No]

source roles = [9, 18, [17, 37], [8, 28]]

derived = [[[17, 8, 5, 15], [17, 28, 25, 15], [37, 8, 29, 19], [37, 28, 9, 19]], [15, 19], No]

source roles = [9, 19, [17, 37], [9, 29]]

derived = [[[17, 9, 6, 16], [17, 29, 26, 16], [37, 9, 28, 18], [37, 29, 8, 18]], [16, 18], No]

source roles = [10, 0, [18, 38], [0, 20]]

derived = [[[18, 0, 18, 10], [18, 20, 38, 10], [38, 0, 38, 10], [38, 20, 18, 10]], [10], Yes]

source roles = [10, 1, [18, 38], [1, 21]]

derived = [[[18, 1, 19, 11], [18, 21, 39, 11], [38, 1, 37, 9], [38, 21, 17, 9]], [9, 11], No]

source roles = [10, 2, [18, 38], [10, 30]]

derived = [[[18, 10, 8, 18], [18, 30, 28, 18], [38, 10, 28, 18], [38, 30, 8, 18]], [18], Yes]

source roles = [10, 3, [18, 38], [11, 31]]

derived = [[[18, 11, 9, 19], [18, 31, 29, 19], [38, 11, 27, 17], [38, 31, 7, 17]], [17, 19], No]

source roles = [10, 4, [18, 38], [12, 32]]

derived = [[[18, 12, 10, 2], [18, 32, 30, 2], [38, 12, 26, 16], [38, 32, 6, 16]], [2, 16], No]

source roles = [10, 5, [18, 38], [13, 33]]

derived = [[[18, 13, 11, 3], [18, 33, 31, 3], [38, 13, 25, 15], [38, 33, 5, 15]], [3, 15], No]

source roles = [10, 6, [18, 38], [14, 34]]

derived = [[[18, 14, 12, 4], [18, 34, 32, 4], [38, 14, 24, 14], [38, 34, 4, 14]], [4, 14], No]

source roles = [10, 7, [18, 38], [15, 35]]

derived = [[[18, 15, 13, 5], [18, 35, 33, 5], [38, 15, 23, 13], [38, 35, 3, 13]], [5, 13], No]

source roles = [10, 8, [18, 38], [16, 36]]

derived = [[[18, 16, 14, 6], [18, 36, 34, 6], [38, 16, 22, 12], [38, 36, 2, 12]], [6, 12], No]

source roles = [10, 9, [18, 38], [17, 37]]

derived = [[[18, 17, 15, 7], [18, 37, 35, 7], [38, 17, 21, 1], [38, 37, 1, 1]], [1, 7], No]

source roles = [10, 10, [18, 38], [18, 38]]

derived = [[[18, 18, 16, 8], [18, 38, 36, 8], [38, 18, 20, 0], [38, 38, 0, 0]], [0, 8], No]

source roles = [10, 11, [18, 38], [19, 39]]

derived = [[[18, 19, 17, 9], [18, 39, 37, 9], [38, 19, 39, 11], [38, 39, 19, 11]], [9, 11], No]

source roles = [10, 12, [18, 38], [2, 22]]

derived = [[[18, 2, 0, 0], [18, 22, 20, 0], [38, 2, 36, 8], [38, 22, 16, 8]], [0, 8], No]

source roles = [10, 13, [18, 38], [3, 23]]

derived = [[[18, 3, 1, 1], [18, 23, 21, 1], [38, 3, 35, 7], [38, 23, 15, 7]], [1, 7], No]

source roles = [10, 14, [18, 38], [4, 24]]

derived = [[[18, 4, 2, 12], [18, 24, 22, 12], [38, 4, 34, 6], [38, 24, 14, 6]], [6, 12], No]

source roles = [10, 15, [18, 38], [5, 25]]

derived = [[[18, 5, 3, 13], [18, 25, 23, 13], [38, 5, 33, 5], [38, 25, 13, 5]], [5, 13], No]

source roles = [10, 16, [18, 38], [6, 26]]

derived = [[[18, 6, 4, 14], [18, 26, 24, 14], [38, 6, 32, 4], [38, 26, 12, 4]], [4, 14], No]

source roles = [10, 17, [18, 38], [7, 27]]

derived = [[[18, 7, 5, 15], [18, 27, 25, 15], [38, 7, 31, 3], [38, 27, 11, 3]], [3, 15], No]

source roles = [10, 18, [18, 38], [8, 28]]

derived = [[[18, 8, 6, 16], [18, 28, 26, 16], [38, 8, 30, 2], [38, 28, 10, 2]], [2, 16], No]

source roles = [10, 19, [18, 38], [9, 29]]

derived = [[[18, 9, 7, 17], [18, 29, 27, 17], [38, 9, 29, 19], [38, 29, 9, 19]], [17, 19], No]

source roles = [11, 0, [19, 39], [0, 20]]

derived = [[[19, 0, 19, 11], [19, 20, 39, 11], [39, 0, 39, 11], [39, 20, 19, 11]], [11], Yes]

source roles = [11, 1, [19, 39], [1, 21]]

derived = [[[19, 1, 0, 0], [19, 21, 20, 0], [39, 1, 38, 10], [39, 21, 18, 10]], [0, 10], No]

source roles = [11, 2, [19, 39], [10, 30]]

derived = [[[19, 10, 9, 19], [19, 30, 29, 19], [39, 10, 29, 19], [39, 30, 9, 19]], [19], Yes]

source roles = [11, 3, [19, 39], [11, 31]]

derived = [[[19, 11, 10, 2], [19, 31, 30, 2], [39, 11, 28, 18], [39, 31, 8, 18]], [2, 18], No]

source roles = [11, 4, [19, 39], [12, 32]]

derived = [[[19, 12, 11, 3], [19, 32, 31, 3], [39, 12, 27, 17], [39, 32, 7, 17]], [3, 17], No]

source roles = [11, 5, [19, 39], [13, 33]]

derived = [[[19, 13, 12, 4], [19, 33, 32, 4], [39, 13, 26, 16], [39, 33, 6, 16]], [4, 16], No]

source roles = [11, 6, [19, 39], [14, 34]]

derived = [[[19, 14, 13, 5], [19, 34, 33, 5], [39, 14, 25, 15], [39, 34, 5, 15]], [5, 15], No]

source roles = [11, 7, [19, 39], [15, 35]]

derived = [[[19, 15, 14, 6], [19, 35, 34, 6], [39, 15, 24, 14], [39, 35, 4, 14]], [6, 14], No]

source roles = [11, 8, [19, 39], [16, 36]]

derived = [[[19, 16, 15, 7], [19, 36, 35, 7], [39, 16, 23, 13], [39, 36, 3, 13]], [7, 13], No]

source roles = [11, 9, [19, 39], [17, 37]]

derived = [[[19, 17, 16, 8], [19, 37, 36, 8], [39, 17, 22, 12], [39, 37, 2, 12]], [8, 12], No]

source roles = [11, 10, [19, 39], [18, 38]]

derived = [[[19, 18, 17, 9], [19, 38, 37, 9], [39, 18, 21, 1], [39, 38, 1, 1]], [1, 9], No]

source roles = [11, 11, [19, 39], [19, 39]]

derived = [[[19, 19, 18, 10], [19, 39, 38, 10], [39, 19, 20, 0], [39, 39, 0, 0]], [0, 10], No]

source roles = [11, 12, [19, 39], [2, 22]]

derived = [[[19, 2, 1, 1], [19, 22, 21, 1], [39, 2, 37, 9], [39, 22, 17, 9]], [1, 9], No]

source roles = [11, 13, [19, 39], [3, 23]]

derived = [[[19, 3, 2, 12], [19, 23, 22, 12], [39, 3, 36, 8], [39, 23, 16, 8]], [8, 12], No]

source roles = [11, 14, [19, 39], [4, 24]]

derived = [[[19, 4, 3, 13], [19, 24, 23, 13], [39, 4, 35, 7], [39, 24, 15, 7]], [7, 13], No]

source roles = [11, 15, [19, 39], [5, 25]]

derived = [[[19, 5, 4, 14], [19, 25, 24, 14], [39, 5, 34, 6], [39, 25, 14, 6]], [6, 14], No]

source roles = [11, 16, [19, 39], [6, 26]]

derived = [[[19, 6, 5, 15], [19, 26, 25, 15], [39, 6, 33, 5], [39, 26, 13, 5]], [5, 15], No]

source roles = [11, 17, [19, 39], [7, 27]]

derived = [[[19, 7, 6, 16], [19, 27, 26, 16], [39, 7, 32, 4], [39, 27, 12, 4]], [4, 16], No]

source roles = [11, 18, [19, 39], [8, 28]]

derived = [[[19, 8, 7, 17], [19, 28, 27, 17], [39, 8, 31, 3], [39, 28, 11, 3]], [3, 17], No]

source roles = [11, 19, [19, 39], [9, 29]]

derived = [[[19, 9, 8, 18], [19, 29, 28, 18], [39, 9, 30, 2], [39, 29, 10, 2]], [2, 18], No]

source roles = [12, 0, [2, 22], [0, 20]]

derived = [[[2, 0, 2, 12], [2, 20, 22, 12], [22, 0, 22, 12], [22, 20, 2, 12]], [12], Yes]

source roles = [12, 1, [2, 22], [1, 21]]

derived = [[[2, 1, 3, 13], [2, 21, 23, 13], [22, 1, 21, 1], [22, 21, 1, 1]], [1, 13], No]

source roles = [12, 2, [2, 22], [10, 30]]

derived = [[[2, 10, 12, 4], [2, 30, 32, 4], [22, 10, 32, 4], [22, 30, 12, 4]], [4], Yes]

source roles = [12, 3, [2, 22], [11, 31]]

derived = [[[2, 11, 13, 5], [2, 31, 33, 5], [22, 11, 31, 3], [22, 31, 11, 3]], [3, 5], No]

source roles = [12, 4, [2, 22], [12, 32]]

derived = [[[2, 12, 14, 6], [2, 32, 34, 6], [22, 12, 30, 2], [22, 32, 10, 2]], [2, 6], No]

source roles = [12, 5, [2, 22], [13, 33]]

derived = [[[2, 13, 15, 7], [2, 33, 35, 7], [22, 13, 29, 19], [22, 33, 9, 19]], [7, 19], No]

source roles = [12, 6, [2, 22], [14, 34]]

derived = [[[2, 14, 16, 8], [2, 34, 36, 8], [22, 14, 28, 18], [22, 34, 8, 18]], [8, 18], No]

source roles = [12, 7, [2, 22], [15, 35]]

derived = [[[2, 15, 17, 9], [2, 35, 37, 9], [22, 15, 27, 17], [22, 35, 7, 17]], [9, 17], No]

source roles = [12, 8, [2, 22], [16, 36]]

derived = [[[2, 16, 18, 10], [2, 36, 38, 10], [22, 16, 26, 16], [22, 36, 6, 16]], [10, 16], No]

source roles = [12, 9, [2, 22], [17, 37]]

derived = [[[2, 17, 19, 11], [2, 37, 39, 11], [22, 17, 25, 15], [22, 37, 5, 15]], [11, 15], No]

source roles = [12, 10, [2, 22], [18, 38]]

derived = [[[2, 18, 0, 0], [2, 38, 20, 0], [22, 18, 24, 14], [22, 38, 4, 14]], [0, 14], No]

source roles = [12, 11, [2, 22], [19, 39]]

derived = [[[2, 19, 1, 1], [2, 39, 21, 1], [22, 19, 23, 13], [22, 39, 3, 13]], [1, 13], No]

source roles = [12, 12, [2, 22], [2, 22]]

derived = [[[2, 2, 4, 14], [2, 22, 24, 14], [22, 2, 20, 0], [22, 22, 0, 0]], [0, 14], No]

source roles = [12, 13, [2, 22], [3, 23]]

derived = [[[2, 3, 5, 15], [2, 23, 25, 15], [22, 3, 39, 11], [22, 23, 19, 11]], [11, 15], No]

source roles = [12, 14, [2, 22], [4, 24]]

derived = [[[2, 4, 6, 16], [2, 24, 26, 16], [22, 4, 38, 10], [22, 24, 18, 10]], [10, 16], No]

source roles = [12, 15, [2, 22], [5, 25]]

derived = [[[2, 5, 7, 17], [2, 25, 27, 17], [22, 5, 37, 9], [22, 25, 17, 9]], [9, 17], No]

source roles = [12, 16, [2, 22], [6, 26]]

derived = [[[2, 6, 8, 18], [2, 26, 28, 18], [22, 6, 36, 8], [22, 26, 16, 8]], [8, 18], No]

source roles = [12, 17, [2, 22], [7, 27]]

derived = [[[2, 7, 9, 19], [2, 27, 29, 19], [22, 7, 35, 7], [22, 27, 15, 7]], [7, 19], No]

source roles = [12, 18, [2, 22], [8, 28]]

derived = [[[2, 8, 10, 2], [2, 28, 30, 2], [22, 8, 34, 6], [22, 28, 14, 6]], [2, 6], No]

source roles = [12, 19, [2, 22], [9, 29]]

derived = [[[2, 9, 11, 3], [2, 29, 31, 3], [22, 9, 33, 5], [22, 29, 13, 5]], [3, 5], No]

source roles = [13, 0, [3, 23], [0, 20]]

derived = [[[3, 0, 3, 13], [3, 20, 23, 13], [23, 0, 23, 13], [23, 20, 3, 13]], [13], Yes]

source roles = [13, 1, [3, 23], [1, 21]]

derived = [[[3, 1, 4, 14], [3, 21, 24, 14], [23, 1, 22, 12], [23, 21, 2, 12]], [12, 14], No]

source roles = [13, 2, [3, 23], [10, 30]]

derived = [[[3, 10, 13, 5], [3, 30, 33, 5], [23, 10, 33, 5], [23, 30, 13, 5]], [5], Yes]

source roles = [13, 3, [3, 23], [11, 31]]

derived = [[[3, 11, 14, 6], [3, 31, 34, 6], [23, 11, 32, 4], [23, 31, 12, 4]], [4, 6], No]

source roles = [13, 4, [3, 23], [12, 32]]

derived = [[[3, 12, 15, 7], [3, 32, 35, 7], [23, 12, 31, 3], [23, 32, 11, 3]], [3, 7], No]

source roles = [13, 5, [3, 23], [13, 33]]

derived = [[[3, 13, 16, 8], [3, 33, 36, 8], [23, 13, 30, 2], [23, 33, 10, 2]], [2, 8], No]

source roles = [13, 6, [3, 23], [14, 34]]

derived = [[[3, 14, 17, 9], [3, 34, 37, 9], [23, 14, 29, 19], [23, 34, 9, 19]], [9, 19], No]

source roles = [13, 7, [3, 23], [15, 35]]

derived = [[[3, 15, 18, 10], [3, 35, 38, 10], [23, 15, 28, 18], [23, 35, 8, 18]], [10, 18], No]

source roles = [13, 8, [3, 23], [16, 36]]

derived = [[[3, 16, 19, 11], [3, 36, 39, 11], [23, 16, 27, 17], [23, 36, 7, 17]], [11, 17], No]

source roles = [13, 9, [3, 23], [17, 37]]

derived = [[[3, 17, 0, 0], [3, 37, 20, 0], [23, 17, 26, 16], [23, 37, 6, 16]], [0, 16], No]

source roles = [13, 10, [3, 23], [18, 38]]

derived = [[[3, 18, 1, 1], [3, 38, 21, 1], [23, 18, 25, 15], [23, 38, 5, 15]], [1, 15], No]

source roles = [13, 11, [3, 23], [19, 39]]

derived = [[[3, 19, 2, 12], [3, 39, 22, 12], [23, 19, 24, 14], [23, 39, 4, 14]], [12, 14], No]

source roles = [13, 12, [3, 23], [2, 22]]

derived = [[[3, 2, 5, 15], [3, 22, 25, 15], [23, 2, 21, 1], [23, 22, 1, 1]], [1, 15], No]

source roles = [13, 13, [3, 23], [3, 23]]

derived = [[[3, 3, 6, 16], [3, 23, 26, 16], [23, 3, 20, 0], [23, 23, 0, 0]], [0, 16], No]

source roles = [13, 14, [3, 23], [4, 24]]

derived = [[[3, 4, 7, 17], [3, 24, 27, 17], [23, 4, 39, 11], [23, 24, 19, 11]], [11, 17], No]

source roles = [13, 15, [3, 23], [5, 25]]

derived = [[[3, 5, 8, 18], [3, 25, 28, 18], [23, 5, 38, 10], [23, 25, 18, 10]], [10, 18], No]

source roles = [13, 16, [3, 23], [6, 26]]

derived = [[[3, 6, 9, 19], [3, 26, 29, 19], [23, 6, 37, 9], [23, 26, 17, 9]], [9, 19], No]

source roles = [13, 17, [3, 23], [7, 27]]

derived = [[[3, 7, 10, 2], [3, 27, 30, 2], [23, 7, 36, 8], [23, 27, 16, 8]], [2, 8], No]

source roles = [13, 18, [3, 23], [8, 28]]

derived = [[[3, 8, 11, 3], [3, 28, 31, 3], [23, 8, 35, 7], [23, 28, 15, 7]], [3, 7], No]

source roles = [13, 19, [3, 23], [9, 29]]

derived = [[[3, 9, 12, 4], [3, 29, 32, 4], [23, 9, 34, 6], [23, 29, 14, 6]], [4, 6], No]

source roles = [14, 0, [4, 24], [0, 20]]

derived = [[[4, 0, 4, 14], [4, 20, 24, 14], [24, 0, 24, 14], [24, 20, 4, 14]], [14], Yes]

source roles = [14, 1, [4, 24], [1, 21]]

derived = [[[4, 1, 5, 15], [4, 21, 25, 15], [24, 1, 23, 13], [24, 21, 3, 13]], [13, 15], No]

source roles = [14, 2, [4, 24], [10, 30]]

derived = [[[4, 10, 14, 6], [4, 30, 34, 6], [24, 10, 34, 6], [24, 30, 14, 6]], [6], Yes]

source roles = [14, 3, [4, 24], [11, 31]]

derived = [[[4, 11, 15, 7], [4, 31, 35, 7], [24, 11, 33, 5], [24, 31, 13, 5]], [5, 7], No]

source roles = [14, 4, [4, 24], [12, 32]]

derived = [[[4, 12, 16, 8], [4, 32, 36, 8], [24, 12, 32, 4], [24, 32, 12, 4]], [4, 8], No]

source roles = [14, 5, [4, 24], [13, 33]]

derived = [[[4, 13, 17, 9], [4, 33, 37, 9], [24, 13, 31, 3], [24, 33, 11, 3]], [3, 9], No]

source roles = [14, 6, [4, 24], [14, 34]]

derived = [[[4, 14, 18, 10], [4, 34, 38, 10], [24, 14, 30, 2], [24, 34, 10, 2]], [2, 10], No]

source roles = [14, 7, [4, 24], [15, 35]]

derived = [[[4, 15, 19, 11], [4, 35, 39, 11], [24, 15, 29, 19], [24, 35, 9, 19]], [11, 19], No]

source roles = [14, 8, [4, 24], [16, 36]]

derived = [[[4, 16, 0, 0], [4, 36, 20, 0], [24, 16, 28, 18], [24, 36, 8, 18]], [0, 18], No]

source roles = [14, 9, [4, 24], [17, 37]]

derived = [[[4, 17, 1, 1], [4, 37, 21, 1], [24, 17, 27, 17], [24, 37, 7, 17]], [1, 17], No]

source roles = [14, 10, [4, 24], [18, 38]]

derived = [[[4, 18, 2, 12], [4, 38, 22, 12], [24, 18, 26, 16], [24, 38, 6, 16]], [12, 16], No]

source roles = [14, 11, [4, 24], [19, 39]]

derived = [[[4, 19, 3, 13], [4, 39, 23, 13], [24, 19, 25, 15], [24, 39, 5, 15]], [13, 15], No]

source roles = [14, 12, [4, 24], [2, 22]]

derived = [[[4, 2, 6, 16], [4, 22, 26, 16], [24, 2, 22, 12], [24, 22, 2, 12]], [12, 16], No]

source roles = [14, 13, [4, 24], [3, 23]]

derived = [[[4, 3, 7, 17], [4, 23, 27, 17], [24, 3, 21, 1], [24, 23, 1, 1]], [1, 17], No]

source roles = [14, 14, [4, 24], [4, 24]]

derived = [[[4, 4, 8, 18], [4, 24, 28, 18], [24, 4, 20, 0], [24, 24, 0, 0]], [0, 18], No]

source roles = [14, 15, [4, 24], [5, 25]]

derived = [[[4, 5, 9, 19], [4, 25, 29, 19], [24, 5, 39, 11], [24, 25, 19, 11]], [11, 19], No]

source roles = [14, 16, [4, 24], [6, 26]]

derived = [[[4, 6, 10, 2], [4, 26, 30, 2], [24, 6, 38, 10], [24, 26, 18, 10]], [2, 10], No]

source roles = [14, 17, [4, 24], [7, 27]]

derived = [[[4, 7, 11, 3], [4, 27, 31, 3], [24, 7, 37, 9], [24, 27, 17, 9]], [3, 9], No]

source roles = [14, 18, [4, 24], [8, 28]]

derived = [[[4, 8, 12, 4], [4, 28, 32, 4], [24, 8, 36, 8], [24, 28, 16, 8]], [4, 8], No]

source roles = [14, 19, [4, 24], [9, 29]]

derived = [[[4, 9, 13, 5], [4, 29, 33, 5], [24, 9, 35, 7], [24, 29, 15, 7]], [5, 7], No]

source roles = [15, 0, [5, 25], [0, 20]]

derived = [[[5, 0, 5, 15], [5, 20, 25, 15], [25, 0, 25, 15], [25, 20, 5, 15]], [15], Yes]

source roles = [15, 1, [5, 25], [1, 21]]

derived = [[[5, 1, 6, 16], [5, 21, 26, 16], [25, 1, 24, 14], [25, 21, 4, 14]], [14, 16], No]

source roles = [15, 2, [5, 25], [10, 30]]

derived = [[[5, 10, 15, 7], [5, 30, 35, 7], [25, 10, 35, 7], [25, 30, 15, 7]], [7], Yes]

source roles = [15, 3, [5, 25], [11, 31]]

derived = [[[5, 11, 16, 8], [5, 31, 36, 8], [25, 11, 34, 6], [25, 31, 14, 6]], [6, 8], No]

source roles = [15, 4, [5, 25], [12, 32]]

derived = [[[5, 12, 17, 9], [5, 32, 37, 9], [25, 12, 33, 5], [25, 32, 13, 5]], [5, 9], No]

source roles = [15, 5, [5, 25], [13, 33]]

derived = [[[5, 13, 18, 10], [5, 33, 38, 10], [25, 13, 32, 4], [25, 33, 12, 4]], [4, 10], No]

source roles = [15, 6, [5, 25], [14, 34]]

derived = [[[5, 14, 19, 11], [5, 34, 39, 11], [25, 14, 31, 3], [25, 34, 11, 3]], [3, 11], No]

source roles = [15, 7, [5, 25], [15, 35]]

derived = [[[5, 15, 0, 0], [5, 35, 20, 0], [25, 15, 30, 2], [25, 35, 10, 2]], [0, 2], No]

source roles = [15, 8, [5, 25], [16, 36]]

derived = [[[5, 16, 1, 1], [5, 36, 21, 1], [25, 16, 29, 19], [25, 36, 9, 19]], [1, 19], No]

source roles = [15, 9, [5, 25], [17, 37]]

derived = [[[5, 17, 2, 12], [5, 37, 22, 12], [25, 17, 28, 18], [25, 37, 8, 18]], [12, 18], No]

source roles = [15, 10, [5, 25], [18, 38]]

derived = [[[5, 18, 3, 13], [5, 38, 23, 13], [25, 18, 27, 17], [25, 38, 7, 17]], [13, 17], No]

source roles = [15, 11, [5, 25], [19, 39]]

derived = [[[5, 19, 4, 14], [5, 39, 24, 14], [25, 19, 26, 16], [25, 39, 6, 16]], [14, 16], No]

source roles = [15, 12, [5, 25], [2, 22]]

derived = [[[5, 2, 7, 17], [5, 22, 27, 17], [25, 2, 23, 13], [25, 22, 3, 13]], [13, 17], No]

source roles = [15, 13, [5, 25], [3, 23]]

derived = [[[5, 3, 8, 18], [5, 23, 28, 18], [25, 3, 22, 12], [25, 23, 2, 12]], [12, 18], No]

source roles = [15, 14, [5, 25], [4, 24]]

derived = [[[5, 4, 9, 19], [5, 24, 29, 19], [25, 4, 21, 1], [25, 24, 1, 1]], [1, 19], No]

source roles = [15, 15, [5, 25], [5, 25]]

derived = [[[5, 5, 10, 2], [5, 25, 30, 2], [25, 5, 20, 0], [25, 25, 0, 0]], [0, 2], No]

source roles = [15, 16, [5, 25], [6, 26]]

derived = [[[5, 6, 11, 3], [5, 26, 31, 3], [25, 6, 39, 11], [25, 26, 19, 11]], [3, 11], No]

source roles = [15, 17, [5, 25], [7, 27]]

derived = [[[5, 7, 12, 4], [5, 27, 32, 4], [25, 7, 38, 10], [25, 27, 18, 10]], [4, 10], No]

source roles = [15, 18, [5, 25], [8, 28]]

derived = [[[5, 8, 13, 5], [5, 28, 33, 5], [25, 8, 37, 9], [25, 28, 17, 9]], [5, 9], No]

source roles = [15, 19, [5, 25], [9, 29]]

derived = [[[5, 9, 14, 6], [5, 29, 34, 6], [25, 9, 36, 8], [25, 29, 16, 8]], [6, 8], No]

source roles = [16, 0, [6, 26], [0, 20]]

derived = [[[6, 0, 6, 16], [6, 20, 26, 16], [26, 0, 26, 16], [26, 20, 6, 16]], [16], Yes]

source roles = [16, 1, [6, 26], [1, 21]]

derived = [[[6, 1, 7, 17], [6, 21, 27, 17], [26, 1, 25, 15], [26, 21, 5, 15]], [15, 17], No]

source roles = [16, 2, [6, 26], [10, 30]]

derived = [[[6, 10, 16, 8], [6, 30, 36, 8], [26, 10, 36, 8], [26, 30, 16, 8]], [8], Yes]

source roles = [16, 3, [6, 26], [11, 31]]

derived = [[[6, 11, 17, 9], [6, 31, 37, 9], [26, 11, 35, 7], [26, 31, 15, 7]], [7, 9], No]

source roles = [16, 4, [6, 26], [12, 32]]

derived = [[[6, 12, 18, 10], [6, 32, 38, 10], [26, 12, 34, 6], [26, 32, 14, 6]], [6, 10], No]

source roles = [16, 5, [6, 26], [13, 33]]

derived = [[[6, 13, 19, 11], [6, 33, 39, 11], [26, 13, 33, 5], [26, 33, 13, 5]], [5, 11], No]

source roles = [16, 6, [6, 26], [14, 34]]

derived = [[[6, 14, 0, 0], [6, 34, 20, 0], [26, 14, 32, 4], [26, 34, 12, 4]], [0, 4], No]

source roles = [16, 7, [6, 26], [15, 35]]

derived = [[[6, 15, 1, 1], [6, 35, 21, 1], [26, 15, 31, 3], [26, 35, 11, 3]], [1, 3], No]

source roles = [16, 8, [6, 26], [16, 36]]

derived = [[[6, 16, 2, 12], [6, 36, 22, 12], [26, 16, 30, 2], [26, 36, 10, 2]], [2, 12], No]

source roles = [16, 9, [6, 26], [17, 37]]

derived = [[[6, 17, 3, 13], [6, 37, 23, 13], [26, 17, 29, 19], [26, 37, 9, 19]], [13, 19], No]

source roles = [16, 10, [6, 26], [18, 38]]

derived = [[[6, 18, 4, 14], [6, 38, 24, 14], [26, 18, 28, 18], [26, 38, 8, 18]], [14, 18], No]

source roles = [16, 11, [6, 26], [19, 39]]

derived = [[[6, 19, 5, 15], [6, 39, 25, 15], [26, 19, 27, 17], [26, 39, 7, 17]], [15, 17], No]

source roles = [16, 12, [6, 26], [2, 22]]

derived = [[[6, 2, 8, 18], [6, 22, 28, 18], [26, 2, 24, 14], [26, 22, 4, 14]], [14, 18], No]

source roles = [16, 13, [6, 26], [3, 23]]

derived = [[[6, 3, 9, 19], [6, 23, 29, 19], [26, 3, 23, 13], [26, 23, 3, 13]], [13, 19], No]

source roles = [16, 14, [6, 26], [4, 24]]

derived = [[[6, 4, 10, 2], [6, 24, 30, 2], [26, 4, 22, 12], [26, 24, 2, 12]], [2, 12], No]

source roles = [16, 15, [6, 26], [5, 25]]

derived = [[[6, 5, 11, 3], [6, 25, 31, 3], [26, 5, 21, 1], [26, 25, 1, 1]], [1, 3], No]

source roles = [16, 16, [6, 26], [6, 26]]

derived = [[[6, 6, 12, 4], [6, 26, 32, 4], [26, 6, 20, 0], [26, 26, 0, 0]], [0, 4], No]

source roles = [16, 17, [6, 26], [7, 27]]

derived = [[[6, 7, 13, 5], [6, 27, 33, 5], [26, 7, 39, 11], [26, 27, 19, 11]], [5, 11], No]

source roles = [16, 18, [6, 26], [8, 28]]

derived = [[[6, 8, 14, 6], [6, 28, 34, 6], [26, 8, 38, 10], [26, 28, 18, 10]], [6, 10], No]

source roles = [16, 19, [6, 26], [9, 29]]

derived = [[[6, 9, 15, 7], [6, 29, 35, 7], [26, 9, 37, 9], [26, 29, 17, 9]], [7, 9], No]

source roles = [17, 0, [7, 27], [0, 20]]

derived = [[[7, 0, 7, 17], [7, 20, 27, 17], [27, 0, 27, 17], [27, 20, 7, 17]], [17], Yes]

source roles = [17, 1, [7, 27], [1, 21]]

derived = [[[7, 1, 8, 18], [7, 21, 28, 18], [27, 1, 26, 16], [27, 21, 6, 16]], [16, 18], No]

source roles = [17, 2, [7, 27], [10, 30]]

derived = [[[7, 10, 17, 9], [7, 30, 37, 9], [27, 10, 37, 9], [27, 30, 17, 9]], [9], Yes]

source roles = [17, 3, [7, 27], [11, 31]]

derived = [[[7, 11, 18, 10], [7, 31, 38, 10], [27, 11, 36, 8], [27, 31, 16, 8]], [8, 10], No]

source roles = [17, 4, [7, 27], [12, 32]]

derived = [[[7, 12, 19, 11], [7, 32, 39, 11], [27, 12, 35, 7], [27, 32, 15, 7]], [7, 11], No]

source roles = [17, 5, [7, 27], [13, 33]]

derived = [[[7, 13, 0, 0], [7, 33, 20, 0], [27, 13, 34, 6], [27, 33, 14, 6]], [0, 6], No]

source roles = [17, 6, [7, 27], [14, 34]]

derived = [[[7, 14, 1, 1], [7, 34, 21, 1], [27, 14, 33, 5], [27, 34, 13, 5]], [1, 5], No]

source roles = [17, 7, [7, 27], [15, 35]]

derived = [[[7, 15, 2, 12], [7, 35, 22, 12], [27, 15, 32, 4], [27, 35, 12, 4]], [4, 12], No]

source roles = [17, 8, [7, 27], [16, 36]]

derived = [[[7, 16, 3, 13], [7, 36, 23, 13], [27, 16, 31, 3], [27, 36, 11, 3]], [3, 13], No]

source roles = [17, 9, [7, 27], [17, 37]]

derived = [[[7, 17, 4, 14], [7, 37, 24, 14], [27, 17, 30, 2], [27, 37, 10, 2]], [2, 14], No]

source roles = [17, 10, [7, 27], [18, 38]]

derived = [[[7, 18, 5, 15], [7, 38, 25, 15], [27, 18, 29, 19], [27, 38, 9, 19]], [15, 19], No]

source roles = [17, 11, [7, 27], [19, 39]]

derived = [[[7, 19, 6, 16], [7, 39, 26, 16], [27, 19, 28, 18], [27, 39, 8, 18]], [16, 18], No]

source roles = [17, 12, [7, 27], [2, 22]]

derived = [[[7, 2, 9, 19], [7, 22, 29, 19], [27, 2, 25, 15], [27, 22, 5, 15]], [15, 19], No]

source roles = [17, 13, [7, 27], [3, 23]]

derived = [[[7, 3, 10, 2], [7, 23, 30, 2], [27, 3, 24, 14], [27, 23, 4, 14]], [2, 14], No]

source roles = [17, 14, [7, 27], [4, 24]]

derived = [[[7, 4, 11, 3], [7, 24, 31, 3], [27, 4, 23, 13], [27, 24, 3, 13]], [3, 13], No]

source roles = [17, 15, [7, 27], [5, 25]]

derived = [[[7, 5, 12, 4], [7, 25, 32, 4], [27, 5, 22, 12], [27, 25, 2, 12]], [4, 12], No]

source roles = [17, 16, [7, 27], [6, 26]]

derived = [[[7, 6, 13, 5], [7, 26, 33, 5], [27, 6, 21, 1], [27, 26, 1, 1]], [1, 5], No]

source roles = [17, 17, [7, 27], [7, 27]]

derived = [[[7, 7, 14, 6], [7, 27, 34, 6], [27, 7, 20, 0], [27, 27, 0, 0]], [0, 6], No]

source roles = [17, 18, [7, 27], [8, 28]]

derived = [[[7, 8, 15, 7], [7, 28, 35, 7], [27, 8, 39, 11], [27, 28, 19, 11]], [7, 11], No]

source roles = [17, 19, [7, 27], [9, 29]]

derived = [[[7, 9, 16, 8], [7, 29, 36, 8], [27, 9, 38, 10], [27, 29, 18, 10]], [8, 10], No]

source roles = [18, 0, [8, 28], [0, 20]]

derived = [[[8, 0, 8, 18], [8, 20, 28, 18], [28, 0, 28, 18], [28, 20, 8, 18]], [18], Yes]

source roles = [18, 1, [8, 28], [1, 21]]

derived = [[[8, 1, 9, 19], [8, 21, 29, 19], [28, 1, 27, 17], [28, 21, 7, 17]], [17, 19], No]

source roles = [18, 2, [8, 28], [10, 30]]

derived = [[[8, 10, 18, 10], [8, 30, 38, 10], [28, 10, 38, 10], [28, 30, 18, 10]], [10], Yes]

source roles = [18, 3, [8, 28], [11, 31]]

derived = [[[8, 11, 19, 11], [8, 31, 39, 11], [28, 11, 37, 9], [28, 31, 17, 9]], [9, 11], No]

source roles = [18, 4, [8, 28], [12, 32]]

derived = [[[8, 12, 0, 0], [8, 32, 20, 0], [28, 12, 36, 8], [28, 32, 16, 8]], [0, 8], No]

source roles = [18, 5, [8, 28], [13, 33]]

derived = [[[8, 13, 1, 1], [8, 33, 21, 1], [28, 13, 35, 7], [28, 33, 15, 7]], [1, 7], No]

source roles = [18, 6, [8, 28], [14, 34]]

derived = [[[8, 14, 2, 12], [8, 34, 22, 12], [28, 14, 34, 6], [28, 34, 14, 6]], [6, 12], No]

source roles = [18, 7, [8, 28], [15, 35]]

derived = [[[8, 15, 3, 13], [8, 35, 23, 13], [28, 15, 33, 5], [28, 35, 13, 5]], [5, 13], No]

source roles = [18, 8, [8, 28], [16, 36]]

derived = [[[8, 16, 4, 14], [8, 36, 24, 14], [28, 16, 32, 4], [28, 36, 12, 4]], [4, 14], No]

source roles = [18, 9, [8, 28], [17, 37]]

derived = [[[8, 17, 5, 15], [8, 37, 25, 15], [28, 17, 31, 3], [28, 37, 11, 3]], [3, 15], No]

source roles = [18, 10, [8, 28], [18, 38]]

derived = [[[8, 18, 6, 16], [8, 38, 26, 16], [28, 18, 30, 2], [28, 38, 10, 2]], [2, 16], No]

source roles = [18, 11, [8, 28], [19, 39]]

derived = [[[8, 19, 7, 17], [8, 39, 27, 17], [28, 19, 29, 19], [28, 39, 9, 19]], [17, 19], No]

source roles = [18, 12, [8, 28], [2, 22]]

derived = [[[8, 2, 10, 2], [8, 22, 30, 2], [28, 2, 26, 16], [28, 22, 6, 16]], [2, 16], No]

source roles = [18, 13, [8, 28], [3, 23]]

derived = [[[8, 3, 11, 3], [8, 23, 31, 3], [28, 3, 25, 15], [28, 23, 5, 15]], [3, 15], No]

source roles = [18, 14, [8, 28], [4, 24]]

derived = [[[8, 4, 12, 4], [8, 24, 32, 4], [28, 4, 24, 14], [28, 24, 4, 14]], [4, 14], No]

source roles = [18, 15, [8, 28], [5, 25]]

derived = [[[8, 5, 13, 5], [8, 25, 33, 5], [28, 5, 23, 13], [28, 25, 3, 13]], [5, 13], No]

source roles = [18, 16, [8, 28], [6, 26]]

derived = [[[8, 6, 14, 6], [8, 26, 34, 6], [28, 6, 22, 12], [28, 26, 2, 12]], [6, 12], No]

source roles = [18, 17, [8, 28], [7, 27]]

derived = [[[8, 7, 15, 7], [8, 27, 35, 7], [28, 7, 21, 1], [28, 27, 1, 1]], [1, 7], No]

source roles = [18, 18, [8, 28], [8, 28]]

derived = [[[8, 8, 16, 8], [8, 28, 36, 8], [28, 8, 20, 0], [28, 28, 0, 0]], [0, 8], No]

source roles = [18, 19, [8, 28], [9, 29]]

derived = [[[8, 9, 17, 9], [8, 29, 37, 9], [28, 9, 39, 11], [28, 29, 19, 11]], [9, 11], No]

source roles = [19, 0, [9, 29], [0, 20]]

derived = [[[9, 0, 9, 19], [9, 20, 29, 19], [29, 0, 29, 19], [29, 20, 9, 19]], [19], Yes]

source roles = [19, 1, [9, 29], [1, 21]]

derived = [[[9, 1, 10, 2], [9, 21, 30, 2], [29, 1, 28, 18], [29, 21, 8, 18]], [2, 18], No]

source roles = [19, 2, [9, 29], [10, 30]]

derived = [[[9, 10, 19, 11], [9, 30, 39, 11], [29, 10, 39, 11], [29, 30, 19, 11]], [11], Yes]

source roles = [19, 3, [9, 29], [11, 31]]

derived = [[[9, 11, 0, 0], [9, 31, 20, 0], [29, 11, 38, 10], [29, 31, 18, 10]], [0, 10], No]

source roles = [19, 4, [9, 29], [12, 32]]

derived = [[[9, 12, 1, 1], [9, 32, 21, 1], [29, 12, 37, 9], [29, 32, 17, 9]], [1, 9], No]

source roles = [19, 5, [9, 29], [13, 33]]

derived = [[[9, 13, 2, 12], [9, 33, 22, 12], [29, 13, 36, 8], [29, 33, 16, 8]], [8, 12], No]

source roles = [19, 6, [9, 29], [14, 34]]

derived = [[[9, 14, 3, 13], [9, 34, 23, 13], [29, 14, 35, 7], [29, 34, 15, 7]], [7, 13], No]

source roles = [19, 7, [9, 29], [15, 35]]

derived = [[[9, 15, 4, 14], [9, 35, 24, 14], [29, 15, 34, 6], [29, 35, 14, 6]], [6, 14], No]

source roles = [19, 8, [9, 29], [16, 36]]

derived = [[[9, 16, 5, 15], [9, 36, 25, 15], [29, 16, 33, 5], [29, 36, 13, 5]], [5, 15], No]

source roles = [19, 9, [9, 29], [17, 37]]

derived = [[[9, 17, 6, 16], [9, 37, 26, 16], [29, 17, 32, 4], [29, 37, 12, 4]], [4, 16], No]

source roles = [19, 10, [9, 29], [18, 38]]

derived = [[[9, 18, 7, 17], [9, 38, 27, 17], [29, 18, 31, 3], [29, 38, 11, 3]], [3, 17], No]

source roles = [19, 11, [9, 29], [19, 39]]

derived = [[[9, 19, 8, 18], [9, 39, 28, 18], [29, 19, 30, 2], [29, 39, 10, 2]], [2, 18], No]

source roles = [19, 12, [9, 29], [2, 22]]

derived = [[[9, 2, 11, 3], [9, 22, 31, 3], [29, 2, 27, 17], [29, 22, 7, 17]], [3, 17], No]

source roles = [19, 13, [9, 29], [3, 23]]

derived = [[[9, 3, 12, 4], [9, 23, 32, 4], [29, 3, 26, 16], [29, 23, 6, 16]], [4, 16], No]

source roles = [19, 14, [9, 29], [4, 24]]

derived = [[[9, 4, 13, 5], [9, 24, 33, 5], [29, 4, 25, 15], [29, 24, 5, 15]], [5, 15], No]

source roles = [19, 15, [9, 29], [5, 25]]

derived = [[[9, 5, 14, 6], [9, 25, 34, 6], [29, 5, 24, 14], [29, 25, 4, 14]], [6, 14], No]

source roles = [19, 16, [9, 29], [6, 26]]

derived = [[[9, 6, 15, 7], [9, 26, 35, 7], [29, 6, 23, 13], [29, 26, 3, 13]], [7, 13], No]

source roles = [19, 17, [9, 29], [7, 27]]

derived = [[[9, 7, 16, 8], [9, 27, 36, 8], [29, 7, 22, 12], [29, 27, 2, 12]], [8, 12], No]

source roles = [19, 18, [9, 29], [8, 28]]

derived = [[[9, 8, 17, 9], [9, 28, 37, 9], [29, 8, 21, 1], [29, 28, 1, 1]], [1, 9], No]

source roles = [19, 19, [9, 29], [9, 29]]

derived = [[[9, 9, 18, 10], [9, 29, 38, 10], [29, 9, 20, 0], [29, 29, 0, 0]], [0, 10], No]

source roles = [[0, 1, [1, 11], No], [0, 20], [1, 21]]

derived = [[0, 1, 0, 1, 1, 20, 1, 11], No, No]

Reverse checks

• S406 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S405 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S404 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S403 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S402 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S401 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S400 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S399 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S398 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S397 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S396 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S395 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S394 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S393 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S392 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S391 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S390 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S389 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S388 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S387 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S386 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S385 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S384 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S383 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S382 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S381 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S380 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S379 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S378 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S377 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S376 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S375 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S374 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S373 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S372 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S371 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S370 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S369 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S368 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S367 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S366 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S365 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S364 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S363 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S362 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S361 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S360 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S359 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S358 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S357 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S356 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S355 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S354 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S353 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S352 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S351 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S350 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S349 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S348 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S347 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S346 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S345 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S344 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S343 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S342 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S341 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S340 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S339 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S338 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S337 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S336 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S335 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S334 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S333 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S332 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S331 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S330 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S329 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S328 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S327 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S326 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S325 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S324 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S323 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S322 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S321 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S320 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S319 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S318 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S317 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S316 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S315 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S314 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S313 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S312 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S311 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S310 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S309 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S308 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S307 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S306 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S305 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S304 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S303 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S302 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S301 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S300 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S299 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S298 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S297 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S296 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S295 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S294 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S293 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S292 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S291 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S290 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S289 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S288 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S287 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S286 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S285 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S284 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S283 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S282 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S281 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S280 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S279 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S278 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S277 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S276 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S275 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S274 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S273 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S272 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S271 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S270 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S269 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S268 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S267 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S266 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S265 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S264 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S263 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S262 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S261 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S260 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S259 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S258 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S257 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S256 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S255 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S254 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S253 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S252 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S251 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S250 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S249 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S248 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S247 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S246 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S245 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S244 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S243 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S242 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S241 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S240 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S239 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S238 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S237 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S236 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S235 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S234 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S233 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S232 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S231 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S230 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S229 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S228 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S227 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S226 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S225 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S224 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S223 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S222 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S221 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S220 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S219 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S218 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S217 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S216 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S215 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S214 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S213 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S212 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S211 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S210 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S209 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S208 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S207 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S206 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S205 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S204 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S203 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S202 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S201 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S200 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S199 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S198 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S197 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S196 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S195 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S194 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S193 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S192 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S191 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S190 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S189 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S188 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S187 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S186 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S185 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S184 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S183 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S182 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S181 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S180 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S179 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S178 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S177 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S176 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S175 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S174 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S173 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S172 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S171 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S170 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S169 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S168 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S167 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S166 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S165 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S164 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S163 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S162 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S161 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S160 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S159 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S158 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S157 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S156 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S155 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S154 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S153 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S152 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S151 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S150 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S149 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S148 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S147 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S146 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S145 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S144 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S143 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S142 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S141 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S140 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S139 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S138 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S137 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S136 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S135 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S134 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S133 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S132 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S131 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S130 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S129 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S128 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S127 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S126 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S125 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S124 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S123 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S122 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S121 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S120 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S119 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S118 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S117 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S116 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S115 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S114 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S113 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S112 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S111 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S110 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S109 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S108 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S107 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S106 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S105 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S104 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S103 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S102 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S101 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S100 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S099 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S098 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S097 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S096 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S095 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S094 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S093 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S092 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S091 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S090 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S089 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S088 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S087 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S086 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S085 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S084 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S083 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S082 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S081 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S080 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S079 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S078 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S077 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S076 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S075 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S074 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S073 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S072 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S071 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S070 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S069 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S068 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S067 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S066 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S065 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S064 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S063 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S062 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S061 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S060 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S059 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S058 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S057 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S056 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S055 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S054 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S053 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S052 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S051 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S050 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S049 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S048 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S047 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S046 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S045 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S044 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S043 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S042 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S041 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S040 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S039 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S038 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S037 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S036 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S035 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S034 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S033 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S032 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S031 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S030 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S029 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S028 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S027 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S026 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S025 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S024 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S023 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S022 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S021 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S020 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S019 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S018 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S017 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S016 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S015 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S014 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S013 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S012 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S011 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S010 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S009 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S008 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S007 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S006 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S004 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

([0, 20], No, [[0, 20], [1, 21], [10, 30], [11, 31], [12, 32], [13, 33], [14, 34], [15, 35], [16, 36], [17, 37], [18, 38], [19, 39], [2, 22], [3, 23], [4, 24], [5, 25], [6, 26], [7, 27], [8, 28], [9, 29]], [0, 1, 0, 1, 1, 20, 1, 11], No, No, explicit_representative_dependence_blocks_quotient_group_multiplication)

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.