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