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1,1,1,1,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,3,3,3,3,3,1,1,1,0,0,0,1,1,9,3,3,2,1,1,1,4,4,4,2,2,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,3,3,3,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[4,4,4,3,3,3,3,3,3,4,3,3,3,3,2,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,0,0,0,0,1,1,3,2,2,1,1,1,4,4,4,2,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,3,3,3,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[4,4,3,3,3,3,3,3,3,4,3,3,3,3,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,3,3,3,3,3,3,1,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,2,2,3,4,4,4,4,4,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[4,3,3,3,4,4,4,4,4,4,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,5,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[4,3,3,3,4,4,4,4,4,4,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,0,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,5,3,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[3,3,3,4,4,4,4,4,4,4,4,4,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,1,1,6,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,6,6,6,6,3,3,6,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,5,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[3,3,4,4,4,4,4,4,4,4,4,4,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,3,3,3,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[3,3,3,4,4,4,4,4,4,4,4,4,4,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,0,0,1,3,3,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,13,8,0,0,0,0,0,0,0,0,0,0,6,6,3,3,5,2,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,6,3,3,3,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,3,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,1,1,0,0,0,0,0,0,0,0,0,0,0,0,3,2,2,2,2,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null],[3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,3,3,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,3,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,7,7,1,null,null,null,null,null,null,null,null,null,null,null,null,null],[2,2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,3,3,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,1,1,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,7,1,0,0,null,null,null,null,null,null,null,null,null,null,null,null],[2,2,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,1,1,12,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,1,0,0,3,null,null,null,null,null,null,null,null,null,null,null],[2,2,4,4,4,4,4,4,4,4,8,8,8,8,8,4,4,4,4,4,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,3,2,2,2,0,2,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,8,1,1,12,8,6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,1,1,0,0,0,1,null,null,null,null,null,null,null,null,nul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