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2,1,2,3,4,5,1,2,3,4,5,5,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,3,1,2,3,3,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,1,2,3,4,2,3,4,1,2,3,3,2,3,1,2,3,4,1,2,3,1,2,3,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,1,2,3,4,5,1,2,3,3,1,2,3,1,2,3,1,2,3,3,3,4,1,2,3,4,5,6,2,3,4,5,6,1,2,3,4,5,6,1,2,3,3,1,2,3,4,5,6,1,2,3,4,5,5,1,2,3,1,2,1,2,3,1,2,3,4,5,6,7,1,4,5,6,7,1,4,5,6,7,1,2,1,2,3,1,2,2,1,2,3,3,1,2,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,4,1,2,3,3,1,4,5,6,7,1,2,3,1,2,3,1,2,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,2,1,1,2,3,1,2,3,2,3,1,2,3,4,1,2,3,2,3,4,2,3,4,1,2,3,1,2,3,4,5,6,1,2,1,2,3,1,2,2,3,1,2,2,3,4,1,2,2,3,3,1,2,3,4,5,6,6,1,2,3,1,2,3,1,2,3,3,1,2,3,4,5,1,2,3,4,1,2,2,1,2,1,2,3,4,5,1,2,3,3,3,4,1,2,3,1,2,3,4,5,1,3,4,5,6,7,1,2,3,4,1,2,2,3,1,2,3,4,5,6,1,3,4,5,6,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,1,1,2,3,4,1,2,3,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,1,2,3,4,3,4,5,6,7,8,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,2,3,4,5,6,1,2,1,2,3,2,3,4,5,1,2,3,1,2,1,2,3,4,4,2,3,1,2,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,3,4,5,1,2,3,4,5,6,1,2,3,3,4,5,6,1,2,3,3,1,2,3,1,2,3,4,1,2,3,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,1,2,2,3,4,5,1,2,1,2,1,2,3,4,1,3,4,5,6,7,1,2,3,4,1,2,2,3,3,1,2,3,3,1,2,3,4,5,1,2,1,2,3,4,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,3,4,5,6,7,1,2,3,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,3,4,5,6,7,1,2,3,3,1,2,3,1,2,3,4,5,5,1,2,3,1,2,1,2,3,4,5,6,1,2,3,4,5,5,6,7,8,1,2,1,2,1,2,3,4,1,2,3,4,5,6,7,1,3,4,5,6,7,1,2,3,3,1,2,3,1,2,3,4,4,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,1,2,3,3,1,2,3,1,2,1,2,3,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,1,2,1,2,3,3,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,3,1,2,3,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,1,2,3,3,3,4,1,2,3,4,5,1,2,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,3,1,2,3,4,5,1,2,3,3,1,2,3,4,5,6,1,2,1,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,3,1,2,3,3,1,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,3,1,2,3,1,2,3,4,4,2,3,4,1,2,3,4,1,2,3,3,1,2,3,4,5,6,7,8,1,2,1,2,3,4,3,4,5,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,3,1,2,3,4,5,6,1,2,2,1,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,3,1,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,3,1,2,3,1,2,3,4,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,3,1,2,3,4,1,2,3,4,1,2,3,4,4,1,4,5,6,7,1,4,5,6,7,1,2,3,4,1,2,3,1,2,3,3,1,2,3,4,4,1,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,3,1,2,3,1,2,3,4,1,2,3,3,1,2,3,4,5,6,7,1,2,3,4,4,1,2,3,3,1,3,4,5,6,2,3,4,5,1,2,3,4,3,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,1,2,3,3,2,3,1,2,3,4,1,2,3,3,4,5,6,1,2,3,4,4,5,6,7,1,2,3,4,1,2,3,4,5,1,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,3,4,5,6,7,1,2,3,1,2,3,3,2,3,4,4,1,2,3,4,1,2,1,2,3,4,5,1,2,3,3,1,2,3,4,3,4,5,6,1,3,4,5,3,4,5,5,6,1,2,3,4,1,2,3,4,5,1,2,2,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,4,1,2,4,5,6,7,1,2,3,4,5,6,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,3,1,2,3,4,1,2,3,3,2,3,4,1,2,3,3,4,5,6,7,1,2,3,4,5,5,1,3,4,5,6,1,2,3,3,1,2,3,1,2,3,4,4,1,2,3,4,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,3,1,2,3,1,2,3,4,4,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,4,2,3,4,4,1,2,3,2,3,4,5,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,3,1,2,3,3,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,2,1,2,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,3,1,2,3,4,5,6,6,7,1,3,4,5,6,1,2,3,1,2,3,4,5,6,1,3,4,5,6,1,3,4,5,6,1,2,3,4,5,6,7,7,1,2,1,2,3,4,1,2,2,1,2,3,3,1,2,3,4,5,2,3,4,5,6,7,1,2,3,4,1,2,1,2,1,2,3,4,1,2,3,4,1,2,2,1,2,3,4,1,2,3,4,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,1,2,3,1,2,3,1,2,1,2,3,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,4,5,6,7,8,9,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,3,1,2,1,2,3,4,5,6,1,2,1,2,1,2,3,4,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,3,1,2,1,2,3,4,1,2,3,4,1,3,4,5,6,1,2,1,2,3,4,1,2,3,1,2,3,3,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,4,1,2,1,2,3,2,3,4,5,2,3,1,2,3,4,3,4,5,6,7,8,1,2,3,4,1,2,3,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,5,1,2,3,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,2,3,4,5,6,7,8,1,2,3,1,2,3,4,4,2,3,4,5,1,2,3,3,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,3,1,2,1,2,3,4,1,2,3,4,4,2,3,4,4,1,2,1,2,1,2,3,1,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,2,1,2,3,1,2,3,1,2,3,1,2,1,2,3,4,5,6,1,2,2,3,4,5,6,1,2,3,3,4,5,6,1,2,3,4,5,6,7,8,1,2,1,2,1,2,1,2,3,4,4,2,3,4,5,1,2,3,3,1,2,3,4,5,3,3,4,2,3,4,5,2,3,4,5,1,2,2,3,4,5,6,7,8,9,3,4,5,6,7,8,1,2,3,3,1,2,3,1,2,3,1,2,3,4,4,2,3,4,1,2,3,3,1,2,3,4,5,6,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,6,1,2,3,3,2,3,4,4,1,2,3,4,2,3,4,5,1,2,2,3,4,1,2,3,3,4,5,6,7,1,2,3,3,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,2,1,2,2,3,4,5,6,1,2,2,1,2,3,4,5,5,1,2,1,2,3,4,1,2,3,4,5,6,7,1,2,3,3,1,3,4,5,6,1,2,1,2,3,3,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,2,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,1,2,2,1,2,3,1,2,1,2,3,1,2,3,4,5,3,4,5,6,7,8,1,2,2,3,4,5,6,7,8,1,2,3,4,5,1,2,2,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,1,2,2,1,2,3,1,2,3,4,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,3,1,2,3,4,5,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,3,1,2,1,2,3,4,5,6,3,4,5,6,7,1,2,3,1,2,2,3,4,1,2,3,3,4,5,6,7,1,2,3,3,1,2,3,4,2,3,4,3,4,5,6,7,1,2,3,3,1,2,3,1,2,3,4,1,2,3,3,1,2,2,1,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18,18,18,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,5,5,6,6,6,6,7,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,10,10,11,11,11,12,12,12,12,12,13,13,13,13,13,13,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,9,9,10,10,10,10,11,11,11,11,11,1,1,1,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,6,6,7,7,7,8,8,9,9,9,10,10,10,10,10,10,10,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,10,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,8,8,8,8,9,9,9,9,10,10,10,11,11,11,11,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15,15,15,15,15,16,16,17,17,17,17,17,17,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,5,5,6,6,6,6,7,7,7,7,7,7,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,6,6,7,7,7,7,7,8,8,9,9,9,9,9,10,10,10,11,11,11,12,12,13,13,13,13,13,13,14,14,14,15,15,16,16,16,16,16,16,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10,10,10,10,10,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,8,9,9,9,10,10,11,11,11,11,12,12,12,13,13,13,13,13,13,13,13,1,1,2,2,3,3,3,3,3,4,4,4,4,5,5,5,5,5,6,6,7,7,7,7,7,8,8,9,9,10,10,11,11,11,12,12,12,13,13,13,13,13,13,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5,6,6,6,6,6,7,7,8,8,8,8,8,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,12,13,13,13,14,14,14,14,14,14,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11,11,11,12,12,12,13,13,13,13,14,14,14,14,14,14,15,15,16,16,16,16,16,16,16,17,17,17,17,18,18,18,18,18,18,18,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5,5,6,6,6,6,7,7,8,8,8,8,9,9,9,10,10,11,11,11,11,11,11,1,1,1,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,10,10,10,11,11,11,11,11,11,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,11,11,11,12,12,12,12,12,13,13,13,14,14,15,15,15,15,15,16,16,16,16,16,17,17,17,18,18,18,18,19,19,19,20,20,20,20,20,20,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,5,5,6,6,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,7,7,7,7,7,7,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,5,5,6,6,6,7,7,7,7,8,8,8,9,9,9,9,9,9,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,6,7,7,7,7,7,7,8,8,8,9,9,9,9,10,10,10,11,11,11,11,11,11,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,7,7,7,7,8,8,8,8,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,6,6,7,7,7,7,7,7,1,1,1,2,3,3,3,3,4,4,5,5,5,5,5,5,6,6,6,6,6,7,7,7,8,8,8,8,8,9,9,9,10,10,10,11,11,11,11,12,12,13,13,13,13,13,13,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,1,1,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,7,7,7,8,8,8,8,8,8,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,7,7,1,1,1,1,2,2,2,2,3,3,3,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,6,7,7,8,8,8,8,9,9,9,9,9,9,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,7,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,6,6,6,6,7,7,8,8,8,8,8,8,9,9,9,9,9,9,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,5,5,5,6,6,7,7,8,8,8,8,8,8,9,9,9,9,10,10,11,11,11,11,11,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,9,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,7,7,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,7,7,7,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,11,11,11,12,12,12,12,13,13,13,13,13,14,14,14,15,15,15,15,15,15,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,7,8,8,8,9,9,9,10,10,10,10,11,11,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,15,15,15,15,16,16,16,16,16,16,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,1,1,1,1,1,2,2,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9,10,10,11,11,11,11,12,12,12,12,12,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,5,6,6,6,6,7,7,8,8,8,8,9,9,9,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,13,13,14,14,14,14,14,14,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,14,14,14,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,7,8,8,8,9,9,9,9,10,10,10,10,10,10,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,9,9,9,10,10,10,10,11,11,11,11,12,12,12,13,13,13,13,14,14,14,14,14,14,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,6,6,7,7,7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3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,6,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,5,5,5,5,5,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,2,2,2,3,3,4,4,4,5,5,6,6,6,6,6,6,6,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,1,1,1,1,2,2,2,2,3,3,4,4,4,5,5,6,6,6,6,6,6,7,7,7,8,8,8,1,1,2,2,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,1,1,1,2,2,3,3,3,3,4,4,4,4,5,6,6,6,6,6,6,6,1,1,1,1,1,1,2,2,3,3,3,4,4,4,5,5,5,5,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,6,6,6,6,6,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,1,1,1,2,2,3,3,3,3,4,4,4,4,5,5,6,6,6,6,1,1,1,2,2,3,3,4,4,4,5,5,5,5,5,6,6,6,6,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,2,2,2,3,3,3,4,4,5,5,5,5,6,6,6,6,6,6,1,1,2,2,2,3,3,3,4,4,5,5,5,5,5,5,5,5,6,6,7,7,7,7,7,7,7,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,1,1,1,1,2,2,3,3,3,4,4,4,5,5,5,5,6,6,6,6,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,1,1,1,2,2,2,3,3,4,4,4,4,4,4,1,1,1,2,2,2,2,2,3,3,3,3,1,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,7,7,7,7,7,7,7,1,1,2,2,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,5,5,5,5,5,5,5,1,1,1,2,2,2,3,3,3,3,4,4,4,5,5,5,5,6,6,6,6,6,6,1,1,2,2,2,2,2,2,3,3,3,4,4,4,5,5,5,6,6,7,7,7,7,7,7,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,1,1,1,1,2,2,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,8,8,8,1,1,1,2,2,3,3,4,4,4,4,5,5,5,5,5,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,6,6,7,7,7,8,8,9,9,9,9,9,9,9,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,5,5,5,5,6,6,6,6,6,6,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,1,1,2,2,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,1,1,1,1,1,1,2,2,2,2,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,6,6,7,7,8,8,9,9,9,9,9,9,9,1,1,2,2,2,2,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,9,9,9,9,9,10,10,10,10,10,10,1,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,5,5,5,5,5,5,1,1,2,2,2,2,2,3,3,3,3,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,5,5,5,6,6,6,6,6,6,1,1,1,1,2,2,2,2,3,3,3,4,4,5,5,5,5,5,5,5,1,1,2,2,2,3,3,3,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,7,8,8,9,9,9,10,10,11,11,11,11,11,11,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,5,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,9,9,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,9,9,9,9,9,10,10,10,10,10,10,1,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,3,3,3,4,4,4,5,5,5,6,6,7,7,7,7,7,7,7,8,8,9,9,9,9,10,10,10,10,11,11,11,11,11,1,1,1,1,2,2,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,3,3,4,4,5,5,5,5,5,5,1,1,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,6,6,1,1,2,2,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,5,5,6,6,6,6,6,6,6,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,5,5,5,6,6,6,6,7,8,8,8,8,9,9,9,9,9,9,1,1,1,2,2,2,3,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6,1,2,3,1,2,3,4,5,6,1,2,3,4,2,3,4,5,6,1,3,4,5,1,3,4,5,3,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,2,3,3,4,5,2,3,4,5,6,1,3,4,5,6,2,3,4,5,1,2,1,2,3,4,4,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,8,1,2,3,3,4,1,2,3,4,1,2,3,3,4,1,2,3,4,1,2,3,4,5,1,2,1,2,1,2,1,2,3,1,2,3,4,5,6,7,1,2,3,3,4,1,2,1,2,3,4,1,2,1,2,1,2,3,4,4,1,2,3,4,1,2,1,2,3,4,3,3,4,1,2,2,3,4,1,2,3,1,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,6,1,2,3,3,4,2,3,3,4,5,2,3,4,5,6,1,2,3,3,4,5,6,6,7,1,3,4,5,6,1,3,4,5,1,2,3,4,2,3,4,1,2,3,4,5,6,1,2,3,4,5,3,4,5,6,1,2,2,3,4,1,2,3,4,3,4,5,1,3,4,5,6,1,2,2,2,3,4,1,2,3,4,1,2,3,3,1,2,3,1,2,2,3,4,5,6,2,3,4,5,6,1,2,3,4,1,1,2,3,3,1,2,3,4,4,1,2,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,1,2,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,3,4,4,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,1,2,3,1,2,3,3,1,2,1,2,3,4,5,5,1,2,3,4,4,1,1,2,3,4,3,3,4,1,2,3,4,1,2,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,3,3,4,1,2,3,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,1,2,3,1,2,3,4,5,5,2,3,1,2,3,4,1,2,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,3,1,2,3,4,4,1,2,3,4,3,4,5,6,1,2,3,4,1,2,2,3,4,5,6,7,1,2,2,1,2,3,1,2,3,3,1,2,3,4,4,1,2,3,4,1,2,1,2,3,1,2,3,4,4,1,2,3,4,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,4,1,2,3,4,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,1,2,2,3,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,5,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,4,1,2,3,1,2,1,2,3,4,5,3,4,5,1,2,3,1,2,1,2,3,4,4,1,2,3,4,5,2,3,4,1,2,3,4,4,2,3,4,5,5,2,3,4,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,3,1,2,1,2,1,2,3,4,2,3,4,5,1,2,3,4,5,6,1,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,3,2,3,4,5,6,7,1,2,1,2,3,4,5,6,2,3,4,5,1,2,3,4,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,3,4,5,6,1,2,3,4,4,2,3,4,3,3,4,1,1,2,3,4,4,1,2,3,4,1,2,3,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,3,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,2,3,4,5,6,7,8,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,3,1,2,3,4,1,2,3,3,4,1,2,3,4,1,2,3,4,1,2,2,1,2,3,4,1,3,4,5,6,1,2,1,2,3,1,2,1,2,3,4,4,1,2,1,2,2,3,4,5,6,7,8,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,2,3,4,5,6,7,1,2,3,1,1,2,3,1,2,2,3,4,5,6,7,2,3,4,5,6,1,2,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,3,1,1,2,3,1,2,3,4,3,3,4,1,2,2,1,2,3,4,5,5,1,2,3,4,5,6,1,3,4,5,6,1,3,4,5,6,2,3,4,5,3,4,5,6,7,1,2,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,3,4,1,2,3,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,5,1,3,4,5,6,2,3,4,5,1,2,3,4,5,3,3,4,1,2,4,5,6,7,1,2,1,3,2,3,4,5,6,7,1,2,3,4,1,2,1,2,3,4,1,2,3,4,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,1,3,4,5,1,2,3,4,2,3,4,5,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,5,1,2,3,4,1,2,1,2,3,4,2,3,4,5,6,7,1,2,3,3,3,4,1,2,1,2,3,4,3,3,4,2,3,4,5,6,7,1,2,3,1,2,1,2,3,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,3,1,2,3,4,5,5,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,1,2,2,1,2,3,1,2,3,4,5,5,1,2,3,3,4,5,5,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,4,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,4,1,2,1,2,3,4,5,5,1,2,3,4,4,1,2,1,2,1,1,2,3,1,2,3,4,5,1,2,4,2,3,4,5,6,7,1,2,3,4,1,2,3,3,3,4,1,2,3,4,4,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,3,1,1,2,3,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,1,2,3,3,3,4,1,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,3,3,4,1,2,3,1,2,3,4,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,1,2,3,3,3,4,1,1,2,3,1,2,3,3,4,1,2,3,4,1,2,2,1,2,2,3,4,1,2,3,2,3,4,3,3,4,1,2,3,1,2,2,1,2,1,2,3,1,2,3,4,2,3,4,1,2,3,4,5,5,1,2,3,2,3,4,5,6,1,2,3,2,3,4,5,6,7,1,2,3,4,1,3,4,5,6,7,8,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,2,3,4,5,6,1,2,1,2,3,1,2,1,2,3,4,5,6,1,2,3,4,5,6,7,3,3,4,2,3,4,5,1,2,3,4,5,6,3,4,5,6,1,2,3,4,5,6,2,3,4,5,6,7,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,3,4,5,1,2,1,2,3,2,3,4,5,6,7,1,2,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,5,1,2,3,4,4,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,3,3,4,1,2,3,1,2,3,3,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,4,1,2,3,1,2,3,4,4,1,2,1,2,3,4,5,6,7,1,2,3,3,2,3,4,5,1,2,2,3,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,3,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,3,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,3,4,1,2,3,4,1,4,5,6,1,2,1,2,3,4,4,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,3,4,5,1,2,3,1,4,5,6,1,2,3,4,1,2,2,1,3,4,5,6,1,2,2,3,4,5,6,7,1,2,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,1,2,3,1,2,3,4,2,3,4,5,6,7,8,1,2,3,4,5,3,3,4,1,2,3,4,1,2,3,4,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,3,3,4,1,2,3,4,4,1,2,3,4,4,1,2,3,4,5,6,7,8,1,3,4,5,6,1,2,1,2,3,4,4,1,2,3,2,3,4,3,3,4,1,2,3,1,2,2,1,2,1,2,3,1,2,3,2,3,3,3,4,1,2,3,1,2,2,1,1,2,3,3,1,2,3,4,3,3,4,1,2,3,4,5,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,1,2,3,3,4,5,6,6,7,1,3,4,5,6,1,2,3,4,5,6,3,3,4,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,1,2,3,3,3,4,1,2,1,2,3,4,5,6,3,3,4,1,2,3,3,1,2,1,2,1,2,3,4,5,6,1,2,3,3,1,2,1,2,3,4,5,6,3,3,4,1,2,3,3,1,2,1,2,1,2,3,4,5,6,1,2,3,3,1,2,1,2,3,4,5,6,1,2,3,4,5,5,1,2,1,2,1,2,3,4,5,6,1,2,3,4,5,5,1,2,1,2,3,4,3,3,4,1,2,3,4,1,2,3,4,5,2,3,4,5,6,7,8,9,1,2,1,2,3,4,5,2,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