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5,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,11,11,11,11,11,11,8,8,8,8,8,8,10,10,10,10,10,10,10,10,10,10,10,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,13,13,13,13,13,13,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,3,3,3,3,3,3,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,5,5,5,5,5,5,5,5,5,5,5,5,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,10,10,10,10,10,10,7,7,7,7,7,7,9,9,9,9,9,9,8,8,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,13,13,13,13,13,13,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,15,15,15,15,15,15,4,4,4,4,4,4,13,13,13,13,13,13,15,15,15,15,15,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,9,9,9,9,9,9,11,11,11,11,11,11,10,10,10,10,10,10,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,6,6,6,6,6,6,5,5,5,5,5,5,3,3,3,3,3,3,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,2,2,2,2,2,2,4,4,4,4,4,4,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,11,11,11,11,11,11,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,11,11,11,11,11,11,13,13,13,13,13,13,13,13,13,13,13,13,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,13,13,13,13,13,13,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,11,11,11,11,11,11,13,13,13,13,13,13,13,13,13,13,13,13,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,11,11,11,11,11,11,11,11,11,11,11,11,2,2,2,2,2,2,9,9,9,9,9,9,9,9,9,9,9,9,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,6,6,6,6,6,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,13,13,13,13,13,13,3,3,3,3,3,3,3,3,3,3,3,3,13,13,13,13,13,13,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,13,13,13,13,13,13,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,11,11,11,11,11,11,13,13,13,13,13,13,13,13,13,13,13,13,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,11,11,11,11,11,11,11,11,11,11,11,11,2,2,2,2,2,2,7,7,7,7,7,7,9,9,9,9,9,9,9,9,9,9,9,9,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,7,7,7,7,7,7,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,8,8,8,8,8,8,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,11,11,11,11,11,11,8,8,8,8,8,8,10,10,10,10,10,10,9,9,9,9,9,9,3,3,3,3,3,3,3,3,3,3,3,3,11,11,11,11,11,11,13,13,13,13,13,13,12,12,12,12,12,12,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,13,13,13,13,13,13,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,13,13,13,13,13,13,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,3,3,3,3,3,3,12,12,12,12,12,12,2,2,2,2,2,2,10,10,10,10,10,10,12,12,12,12,12,12,2,2,2,2,2,2,2,2,2,2,2,2,10,10,10,10,10,10,7,7,7,7,7,7,9,9,9,9,9,9,9,9,9,9,9,9,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,9,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,8,8,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,3,3,3,12,12,12,12,12,12,9,9,9,9,9,9,11,11,11,11,11,11,11,11,11,11,11,11,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,12,12,12,12,12,12,2,2,2,2,2,2,13,13,13,13,13,13,15,15,15,15,15,15,3,3,3,3,3,3,15,15,15,15,15,15,4,4,4,4,4,4,15,15,15,15,15,15,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,15,15,15,15,15,15,15,15,15,15,15,15,3,3,3,3,3,3,15,15,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3,3,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,9,9,9,9,9,9,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,9,9,9,9,9,9,11,11,11,11,11,11,11,11,11,11,11,11,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,9,9,9,9,9,9,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,11,11,11,11,11,11,11,11,11,11,11,11,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,9,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,8,8,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,11,11,11,11,11,11,11,11,11,11,11,11,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,11,11,11,11,11,11,13,13,13,13,13,13,13,13,13,13,13,13,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,11,11,11,11,11,11,11,11,11,11,11,11,8,8,8,8,8,8,10,10,10,10,10,10,10,10,10,10,10,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,8,8,8,8,8,8,10,10,10,10,10,10,10,10,10,10,10,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,10,10,10,10,10,10,9,9,9,9,9,9,7,7,7,7,7,7,9,9,9,9,9,9,8,8,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,10,10,10,10,10,10,12,12,12,12,12,12,11,11,11,11,11,11,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,9,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,8,8,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,11,11,11,11,11,11,11,11,11,11,11,11,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,10,10,10,10,10,10,10,10,10,10,10,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,13,13,13,13,13,13,13,13,13,13,13,13,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,13,13,13,13,13,13,14,14,14,14,14,14,13,13,13,13,13,13,13,13,13,13,13,13,3,3,3,3,3,3,4,4,4,4,4,4,13,13,13,13,13,13,14,14,14,14,14,14,13,13,13,13,13,13,13,13,13,13,13,13,3,3,3,3,3,3,4,4,4,4,4,4,12,12,12,12,12,12,13,13,13,13,13,13,12,12,12,12,12,12,13,13,13,13,13,13,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,7,7,7,7,7,7,3,3,3,3,3,3,4,4,4,4,4,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