sequence values used:
1, 2, 2, 3, 2, 3, 4, 2, 3, 4, 4, 5, 2, 3, 4, 4, 5, 4, 5, 6, 2, 3, 4, 4, 5, 4, 5, 6, 4, 5, 6, 6, 7, 2, 3, 4, 4, 5, 4, 5, 6, 4, 5, 6, 6, 7, 4, 5, 6, 6, 7, 6, 7, 8, 2, 3, 4, 4, 5, 4, 5, 6, 4, 5, 6, 6, 7, 4, 5, 6, 6, 7, 6, 7, 8, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 2, 3, 4, 4, 5, 4, 5, 6, 4, 5, 6, 6, 7, 4, 5, 6, 6, 7, 6, 7, 8, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 6, 7, 8, 8, 9, 8, 9, 10, 2, 3, 4, 4, 5, 4, 5, 6, 4, 5, 6, 6, 7, 4, 5, 6, 6, 7, 6, 7, 8, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 6, 7, 8, 8, 9, 8, 9, 10, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 6, 7, 8, 8, 9, 8, 9, 10, 6, 7, 8, 8, 9, 8, 9, 10, 8, 9, 10, 10, 11, 2, 3, 4, 4, 5, 4, 5, 6, 4, 5, 6, 6, 7, 4, 5, 6, 6, 7, 6, 7, 8, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 6, 7, 8, 8, 9, 8, 9, 10, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 6, 7, 8, 8, 9, 8, 9, 10, 6, 7, 8, 8, 9, 8, 9, 10, 8, 9, 10, 10, 11, 4, 5, 6, 6, 7, 6, 7, 8, 6, 7, 8, 8, 9, 6, 7, 8, 8, 9, 8, 9, 10, 6, 7, 8, 8, 9, 8, 9, 10, 8, 9, 10, 10, 11, 6, 7, 8, 8, 9, 8, 9, 10, 8, 9, 10, 10, 11, 8, 9, 10, 10, 11, 10, 11, 12, 2
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