YO,T,S,U,Y,A,_,M,I,K,O= [2.0,0.1667,0.7,0.23,2.5,1.4,+2020/9/21,0.5,3.7,0.35,0.7]; eval(%w{require'zlib';eval(Zlib::Inflate.inflate('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'.unpack('m')[0]))}*"")