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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 12, 31, 231, 123)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 12, 231, 123, 31)
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 31, 123, 12, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 31, 123, 231, 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 31, 12, 123, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 31, 12, 231, 123)
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 231, 12, 123, 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 231, 12, 31, 123)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 231, 31, 123, 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), (3, 12, 5, 24), 231, 31, 12, 123)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, (3, 12, 5, 24), 12, 31, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, (3, 12, 5, 24), 12, 231, 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, (3, 12, 5, 24), 31, 12, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, (3, 12, 5, 24), 31, 231, 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, (3, 12, 5, 24), 231, 12, 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, (3, 12, 5, 24), 231, 31, 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 12, (3, 12, 5, 24), 31, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 12, (3, 12, 5, 24), 231, 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 12, 31, (3, 12, 5, 24), 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 12, 31, 231, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 12, 231, (3, 12, 5, 24), 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 12, 231, 31, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 31, (3, 12, 5, 24), 12, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 31, (3, 12, 5, 24), 231, 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 31, 12, (3, 12, 5, 24), 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 31, 12, 231, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 31, 231, (3, 12, 5, 24), 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 31, 231, 12, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 231, (3, 12, 5, 24), 12, 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 231, (3, 12, 5, 24), 31, 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 231, 12, (3, 12, 5, 24), 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 231, 12, 31, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 231, 31, (3, 12, 5, 24), 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 123, 231, 31, 12, (3, 12, 5, 24))
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 12, 123, 231, (3, 12, 5, 24), 31)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 12, 123, 231, 31, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 12, 31, (3, 12, 5, 24), 123, 231)
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 12, 31, 123, (3, 12, 5, 24), 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 12, 31, 123, 231, (3, 12, 5, 24))
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 12, 231, 31, (3, 12, 5, 24), 123)
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, (3, 12, 5, 24), 12, 123, 231)
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 123, (3, 12, 5, 24), 12, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 123, (3, 12, 5, 24), 231, 12)
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((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 123, 12, 231, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 123, 231, (3, 12, 5, 24), 12)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 123, 231, 12, (3, 12, 5, 24))
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 12, (3, 12, 5, 24), 123, 231)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 12, (3, 12, 5, 24), 231, 123)
((1, 2, 3, 4), (1, 2, 4, 3), (1, 3, 2, 4), (1, 3, 4, 2), (1, 4, 2, 3), (1, 4, 3, 2), (2, 1, 3, 4), (2, 1, 4, 3), (2, 3, 1, 4), (2, 3, 4, 1), (2, 4, 1, 3), (2, 4, 3, 1), (3, 1, 2, 4), (3, 1, 4, 2), (3, 2, 1, 4), (3, 2, 4, 1), (3, 4, 1, 2), (3, 4, 2, 1), (4, 1, 2, 3), (4, 1, 3, 2), (4, 2, 1, 3), (4, 2, 3, 1), (4, 3, 1, 2), (4, 3, 2, 1), (24, 5, 12, 3), (24, 5, 3, 12), (24, 12, 5, 3), (24, 12, 3, 5), (24, 3, 5, 12), (24, 3, 12, 5), (5, 24, 12, 3), (5, 24, 3, 12), (5, 12, 24, 3), (5, 12, 3, 24), (5, 3, 24, 12), (5, 3, 12, 24), (12, 24, 5, 3), (12, 24, 3, 5), (12, 5, 24, 3), (12, 5, 3, 24), (12, 3, 24, 5), (12, 3, 5, 24), (3, 24, 5, 12), (3, 24, 12, 5), (3, 5, 24, 12), (3, 5, 12, 24), (3, 12, 24, 5), 31, 12, 123, (3, 12, 5, 24), 231)
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