sequence values used:
1, 0, 2, 3, 2, 2, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 3, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 7, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 5, 4, 4, 8, 7, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 5, 5, 7, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 9, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 7, 6, 6, 8, 7, 7, 7, 7, 6, 6, 7, 6, 6, 6, 8, 7, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 5, 5, 10, 9, 9, 9, 9, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 7, 7, 9, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 9, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 7, 6, 6, 9, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 7, 6, 6, 8, 7, 7, 7, 7, 6, 6, 7, 6, 6, 6, 11, 10, 10, 10, 10, 9, 9, 10, 9, 9, 9, 10, 9, 9, 9, 9, 8, 8, 10, 9, 9, 9, 9, 8, 8, 9, 8, 8, 8, 10, 9, 9, 9, 9, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 7, 7, 10, 9, 9, 9, 9, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 7, 7, 9, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 10, 9, 9, 9, 9, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 7, 7, 9, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 9, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 7, 6, 6, 12
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