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2,3,2,1,2,4,2,2,2,2,3,3,5,1,4,0,0,4,2,3,4,1,5,3,0,2,1,1,1,3,3,0,1,5,2,1,3,2,0,0,1,0,4,4,0,1,0,1,2,0,2,1,5,0,4,1,6,2,4,3,2,2,2,3,0,0,2,4,3,4,3,1,1,4,3,6,0,5,0,3,2,1,7,0,3,0,1,2,1,3,3,6,0,3,1,3,0,0,6,3,2,1,0,3,2,3,1,3,1,2,1,3,4,2,0,3,0,0,4,3,1,1,2,3,2,0,1,2,0,0,3,0,3,0,0,2,2,3,3,6,0,0,4,0,2,0,3,4,0,2,2,1,0,2,6,1,4,3,5,0,1,3,2,5,3,4,2,3,6,5,0,1,0,3,0,2,1,2,3,4,4,2,0,0,1,3,6,3,5,0,3,6,4,1,1,1,0,2,4,1,0,4,7,4,1,1,4,3,0,2,0,0,3,3,3,4,2,3,2,4,0,2,1,0,1,0,3,6,3,1,2,0,4,5,2,0,3,0,1,2,2,2,0,2,2,2,3,2,2,2,0,1,3,2,0,4,2,4,2,3,3,1,2,2,6,3,0,3,0,0,3,1,3,3,5,0,1,2,0,3,1,1,0,0,0,2,0,2,2,1,8,2,0,3,4,3,4,0,2,1,2,0,6,0,4,1,3,0,2,3,2,0,6,3,2,0,1,3,2,1,0,4,3,2,0,2,2,4,1,3,5,3,4,0,3,0,3,3,0,2,3,3,2,3,1,4,1,2,0,3,2,3,2,0,0,0,3,4,3,1,6,3,8,3,5,2,0,6,4,0,3,4,2,0,4,0,1,3,1,3,0,0,2,0,1,2,0,2,3,0,6,0,1,3,1,2,3,4,1,3,0,4,3,5,1,5,2,6,1,0,1,1,1,1,0,2,1,0,3,0,2,4,2,1,3,5,6,4,2,3,2,1,2,2,3,1,1,0,1,3,3,0,7,0,2,4,4,2,1,2,6,5,5,2,3,2,1,1,3,5,4,0,5,2,1,0,2,2,4,1,4,2,2,0,3,4,5,1,0,2,0,1,6,0,3,3,0,2,0,0,3,1,1,1,4,3,1,3,7,1,4,0,0,0,1,5,3,1,2,0,4,3,0,0,6,0,5,2,3,2,0,3,6,3,1,3,3,2,3,1,3,4,3,1,2,1,2,4,0,0,4,4,6,1,0,3,1,3,5,0,0,0,2,1,3,0,4,1,2,3,0,4,3,2,1,3,6,2,1,4,0,4,4,2,2,0,3,2,1,4,5,1,2,1,3,4,0,3,1,0,3,1,1,0,1,1,3,1,1,0,4,0,2,0,4,0,4,2,1,0,6,6,0,2,1,3,0,2,1,2,2,0,1,0,5,2,8,3,0,1,4,2,3,2,0,2,5,2,0,4,2,1,3,2,3,2,5,0,6,2,5,1,1,2,6,0,1,3,6,2,1,2,1,1,2,0,3,3,4,3,0,2,3,1,1,1,2,2,4,1,0,1,0,0,1,4,5,2,2,2,0,0,3,2,1,3,1,3,2,1,1,0,4,4,0,2,1,0,2,2,5,4,2,2,2,0,0,0,4,2,2,2,8,3,5,1,0,0,0,2,0,2,1,4,0,0,1,3,6,3,1,4,0,2,1,3,5,3,2,0,0,5,2,1,4,1,1,1,6,0,6,3,0,3,3,0,3,0,0,2,2,4,2,2,2,6,3,3,3,3,1,3,0,0,4,1,5,0,2,1,2,0,0,3,0,2,1,4,1,0,1,1,3,5,2,3,2,1,1,2,2,1,1,0,1,2,0,4,0,1,1,1,4,0,6,1,8,2,2,3,4,1,3,1,1,2,3,1,1,1,3,3,2,1,3,1,2,4,0,1,0,2,2,2,0,0,3,1,1,4,3,2,3,1,0,5,8,1,1,2,4,3,2,2,1,0,2,2,4,1,5,3,3,2,4,0,1,3,1,3,3,5,2,0,1,0,2,3,2,0,4,3,1,0,3,3,6,3,0,1,3,1,0,0,2,1,4,0,3,0,4,0,6,1,4,2,5,1,0,0,1,4,1,0,0,3,0,0,4,5,1,1,1,4,4,3,1,1,3,1,5,2,2,0,3,2,2,0,3,0,1,6,2,1,0,0,2,2,0,2,3,6,5,0,5,0,2,4,2,2,3,2,4,4,1,2,5,4,0,3,4,6,2,1,3,3,2,3,2,0,3,1,8,1,2,1,6,4,1,3,8,1,1,5,3,4,6,5,2,3,5,1,4,1,3,0,4,0,0,3,2,2,1,0,6,4,3,4,1,1,2,0,2,2,1,5,6,2,0,1,0,0,2,4,4,4,2,3,3,3,3,1,0,0,5,2,7,6,3,0,1,0,0,3,5,0,5,2,4,1,4,4,5,3,3,2,3,6,5,3,3,0,5,3,3,5,0,3,2,3,0,0,5,4,1,0,1,1,2,3,3,6,6,3,7,0,5,0,3,2,2,4,6,3,1,3,1,1,3,2,1,1,3,1,4,3,0,4,6,4,3,3,2,2,2,0,0,1,1,0,4,1,5,3,3,2,2,4,0,1,1,3,8,2,1,2,2,0,3,1,1,0,0,3,2,2,2,1,4,3,3,4,1,3,4,1,0,3,3,2,3,4,1,2,0,0,5,2,1,0,4,3,3,4,4,2,4,1,1,3,1,1,4,0,2,5,0,0,0,4,1,1,0,4,4,2,0,3,3,3,2,3,0,2,3,0,1,3,3,3,1,0,5,3,3,0,6,3,2,5,3,3,0,1,3,2,2,4,3,2,1,2,4,0,2,2,0,1,2,3,3,3,1,1,2,3,4,2,2,2,6,1,3,0,1,4,1,2,5,3,1,1,0,2,1,1,1,0,0,5,3,3,4,0,1,1,1,0,3,2,1,3,0,2,2,0,1,2,5,2,1,4,7,4,0,1,2,0,2,1,5,2,2,2,0,0,0,1,6,0,0,3,0,1,0,4,7,3,3,1,1,4,1,1,0,3,2,3,3,0,0,2,0,0,0,5,5,5,2,2,2,4,4,0,2,0,4,3,0,1,0,1,1,0,3,4,0,0,0,0,4,2,0,5,5,2,3,0,0,1,4,3,1,0,1,5,4,2,3,1,2,2,4,1,0,1,0,4,3,2,1,3,0,0,2,2,7,0,5,0,2,2,2,1,8,6,1,3,1,1,0,1,0,1,5,4,0,0,0,3,1,0,3,2,5,3,4,0,1,3,3,3,4,0,2,1,3,1,1,5,0,2,3,1,5,2,0,0,2,4,1,1,5,0,3,1,4,2,0,2,1,2,0,1,0,2,2,2,1,0,3,1,2,3,1,2,6,3,0,4,3,1,0,3,3,1,2,0,0,0,3,0,1,0,2,0,3,4,3,1,4,4,3,3,3,1,1,2,0,2,3,3,3,3,0,2,5,1,1,2,0,1,2,0,0,2,4,3,4,0,0,5,0,5,0,0,3,3,3,4,1,5,2,1,3,1,1,3,6,1,1,0,3,3,0,1,2,2,1,2,4,4,2,3,0,1,4,4,3,0,6,0,3,0,4,1,3,1,2,0,1,0,0,1,1,1,0,3,2,5,3,3,1,2,2,3,5,1,2,1,2,0,2,1,0,4,4,2,5,2,2,3,5,0,0,1,1,6,0,3,6,3,5,1,3,6,2,3,0,0,3,0,0,0,4,2,1,5,3,1,3,0,3,4,1,6,2,0,3,0,2,5,6,5,3,1,2,2,3,3,2,2,1,1,3,1,3,3,3,5,2,1,4,5,0,0,2,0,3,1,4,2,2,1,0,0,2,1,2,4,1,2,0,1,0,4,2,0,2,1,5,1,1,2,2,1,3,1,1,3,2,5,4,4,1,0,3,2,5,0,1,5,0,2,1,3,1,0,0,1,2,3,6,1,2,3,0,0,3,1,4,4,0,5,3,0,0,1,4,5,3,2,0,0,0,2,6,5,4,2,2,3,0,4,6,1,1,0,1,5,3,1,2,1,3,0,3,2,0,0,1,1,1,2,4,0,1,2,2,2,2,2,4,1,6,2,1,2,1,1,3,2,0,0,3,0,2,5,0,0,3,1,1,0,1,2,3,4,1,0,1,2,4,3,1,0,0,6,0,5,2,0,2,0,1,0,1,2,2,2,2,4,0,5,1,2,2,2,2,0,0,3,2,5,1,4,4,2,2,2,3,1,2,1,3,3,2,0,7,2,2,1,0,0,0,3,0,0,1,4,4,2,2,3,1,3,0,3,4,3,2,4,0,0,3,1,0,1,2,3,6,0,1,2,4,3,0,2,1,0,3,3,1,2,0,6,3,1,5,2,6,3,0,3,5,0,4,3,5,3,5,1,0,0,4,0,5,3,3,2,3,1,1,1,4,1,1,0,8,0,0,0,4,3,2,3,3,5,3,2,0,2,2,2,3,5,2,1,0,0,0,3,0,3,0,4,0,4,1,1,3,2,4,2,3,6,3,3,5,3,5,3,2,3,2,0,1,0,0,2,0,3,1,6,6,5,3,2,0,3,6,1,1,5,4,3,4,0,0,2,1,3,2,2,0,2,2,1,0,0,3,3,2,0,0,0,0,2,1,3,0,2,0,2,4,2,1,3,3,0,2,2,3,3,3,2,2,3,2,0,0,6,1,1,5,1,0,3,3,3,0,0,4,2,6,4,0,5,5,4,3,0,1,2,3,2,1,0,4,3,2,1,6,3,3,0,2,2,2,1,1,1,2,1,0,2,2,1,3,5,4,3,4,1,0,2,7,5,2,0,4,1,3,0,1,3,4,2,0,2,4,3,1,0,3,1,2,1,2,4,2,1,3,3,3,2,1,1,2,2,0,2,5,2,0,0,1,3,3,2,4,3,2,0,3,2,2,0,4,0,2,0,6,1,4,1,4,6,2,5,2,2,3,0,2,3,4,2,4,2,0,1,1,6,5,4,1,1,3,1,3,2,4,0,7,1,0,3,4,5,1,2,1,0,3,3,1,1,2,2,2,0,1,1,2,0,3,0,0,0,2,1,2,4,2,0,5,3,2,4,2,1,0,1,2,1,1,3,1,0,2,0,1,3,3,3,1,0,6,2,5,2,2,2,5,2,1,1,3,3,2,2,4,0,2,1,2,1,0,4,1,3,2,6,1,2,2,1,0,3,1,0,3,1,0,4,4,3,2,2,1,3,1,4,4,6,5,2,1,6,1,1,2,4,4,0,1,1,2,3,0,3,0,3,3,1,0,1,4,3,1,4,4,2,2,3,5,0,0,0,0,3,1,0,3,2,1,5,7,4,5,0,0,0,4,1,5,2,1,1,0,1,2,2,0,0,2,1,6,0,6,1,3,6,3,2,1,3,2,2,8,4,0,1,0,0,1,0,1,1,3,5,3,2,4,0,4,2,0,5,5,0,2,1,2,4,0,1,0,1,0,5,3,3,3,0,3,0,2,3,0,2,2,1,1,1,0,0,1,0,0,0,3,2,5,1,0,2,2,3,3,2,1,1,0,1,3,2,2,2,4,1,3,3,1,3,0,1,1,2,0,0,5,2,1,3,4,3,4,2,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