@relation supermarket @attribute 'department1' { t} @attribute 'department2' { t} @attribute 'department3' { t} @attribute 'department4' { t} @attribute 'department5' { t} @attribute 'department6' { t} @attribute 'department7' { t} @attribute 'department8' { t} @attribute 'department9' { t} @attribute 'grocery misc' { t} @attribute 'department11' { t} @attribute 'baby needs' { t} @attribute 'bread and cake' { t} @attribute 'baking needs' { t} @attribute 'coupons' { t} @attribute 'juice-sat-cord-ms' { t} @attribute 'tea' { t} @attribute 'biscuits' { t} @attribute 'canned fish-meat' { t} @attribute 'canned fruit' { t} @attribute 'canned vegetables' { t} @attribute 'breakfast food' { t} @attribute 'cigs-tobacco pkts' { t} @attribute 'cigarette cartons' { t} @attribute 'cleaners-polishers' { t} @attribute 'coffee' { t} @attribute 'sauces-gravy-pkle' { t} @attribute 'confectionary' { t} @attribute 'puddings-deserts' { t} @attribute 'dishcloths-scour' { t} @attribute 'deod-disinfectant' { t} @attribute 'frozen foods' { t} @attribute 'razor blades' { t} @attribute 'fuels-garden aids' { t} @attribute 'spices' { t} @attribute 'jams-spreads' { t} @attribute 'insecticides' { t} @attribute 'pet foods' { t} @attribute 'laundry needs' { t} @attribute 'party snack foods' { t} @attribute 'tissues-paper prd' { t} @attribute 'wrapping' { t} @attribute 'dried vegetables' { t} @attribute 'pkt-canned soup' { t} @attribute 'soft drinks' { t} @attribute 'health food other' { t} @attribute 'beverages hot' { t} @attribute 'health&beauty misc' { t} @attribute 'deodorants-soap' { t} @attribute 'mens toiletries' { t} @attribute 'medicines' { t} @attribute 'haircare' { t} @attribute 'dental needs' { t} @attribute 'lotions-creams' { t} @attribute 'sanitary pads' { t} @attribute 'cough-cold-pain' { t} @attribute 'department57' { t} @attribute 'meat misc' { t} @attribute 'cheese' { t} @attribute 'chickens' { t} @attribute 'milk-cream' { t} @attribute 'cold-meats' { t} @attribute 'deli gourmet' { t} @attribute 'margarine' { t} @attribute 'salads' { t} @attribute 'small goods' { t} @attribute 'dairy foods' { t} @attribute 'fruit drinks' { t} @attribute 'delicatessen misc' { t} @attribute 'department70' { t} @attribute 'beef' { t} @attribute 'hogget' { t} @attribute 'lamb' { t} @attribute 'pet food' { t} @attribute 'pork' { t} @attribute 'poultry' { t} @attribute 'veal' { t} @attribute 'gourmet meat' { t} @attribute 'department79' { t} @attribute 'department80' { t} @attribute 'department81' { t} @attribute 'produce misc' { t} @attribute 'fruit' { t} @attribute 'plants' { t} @attribute 'potatoes' { t} @attribute 'vegetables' { t} @attribute 'flowers' { t} @attribute 'department88' { t} @attribute 'department89' { t} @attribute 'variety misc' { t} @attribute 'brushware' { t} @attribute 'electrical' { t} @attribute 'haberdashery' { t} @attribute 'kitchen' { t} @attribute 'manchester' { t} @attribute 'pantyhose' { t} @attribute 'plasticware' { t} @attribute 'department98' { t} @attribute 'stationary' { t} @attribute 'department100' { t} @attribute 'department101' { t} @attribute 'department102' { t} @attribute 'prepared meals' { t} @attribute 'preserving needs' { t} @attribute 'condiments' { t} @attribute 'cooking oils' { t} @attribute 'department107' { t} @attribute 'department108' { t} @attribute 'department109' { t} @attribute 'department110' { t} @attribute 'department111' { t} @attribute 'department112' { t} @attribute 'department113' { t} @attribute 'department114' { t} @attribute 'health food bulk' { t} @attribute 'department116' { t} @attribute 'department117' { t} @attribute 'department118' { t} @attribute 'department119' { t} @attribute 'department120' { t} @attribute 'bake off products' { t} @attribute 'department122' { t} @attribute 'department123' { t} @attribute 'department124' { t} @attribute 'department125' { t} @attribute 'department126' { t} @attribute 'department127' { t} @attribute 'department128' { t} @attribute 'department129' { t} @attribute 'department130' { t} @attribute 'small goods2' { t} @attribute 'offal' { t} @attribute 'mutton' { t} @attribute 'trim pork' { t} @attribute 'trim lamb' { t} @attribute 'imported cheese' { t} @attribute 'department137' { t} @attribute 'department138' { t} @attribute 'department139' { t} @attribute 'department140' { t} @attribute 'department141' { t} @attribute 'department142' { t} @attribute 'department143' { t} @attribute 'department144' { t} @attribute 'department145' { t} @attribute 'department146' { t} @attribute 'department147' { t} @attribute 'department148' { t} @attribute 'department149' { t} @attribute 'department150' { t} @attribute 'department151' { t} @attribute 'department152' { t} @attribute 'department153' { t} @attribute 'department154' { t} @attribute 'department155' { t} @attribute 'department156' { t} @attribute 'department157' { t} @attribute 'department158' { t} @attribute 'department159' { t} @attribute 'department160' { t} @attribute 'department161' { t} @attribute 'department162' { t} @attribute 'department163' { t} @attribute 'department164' { t} @attribute 'department165' { t} @attribute 'department166' { t} @attribute 'department167' { t} @attribute 'department168' { t} @attribute 'department169' { t} @attribute 'department170' { t} @attribute 'department171' { t} @attribute 'department172' { t} @attribute 'department173' { t} @attribute 'department174' { t} @attribute 'department175' { t} @attribute 'department176' { t} @attribute 'department177' { t} @attribute 'department178' { t} @attribute 'department179' { t} @attribute 'casks white wine' { t} @attribute 'casks red wine' { t} @attribute '750ml white nz' { t} @attribute '750ml red nz' { t} @attribute '750ml white imp' { t} @attribute '750ml red imp' { t} @attribute 'sparkling nz' { t} @attribute 'sparkling imp' { t} @attribute 'brew kits/accesry' { t} @attribute 'department189' { t} @attribute 'port and sherry' { t} @attribute 'ctrled label wine' { t} @attribute 'department192' { t} @attribute 'department193' { t} @attribute 'department194' { t} @attribute 'department195' { t} @attribute 'department196' { t} @attribute 'department197' { t} @attribute 'department198' { t} @attribute 'department199' { t} @attribute 'non host support' { t} @attribute 'department201' { t} @attribute 'department202' { t} @attribute 'department203' { t} @attribute 'department204' { t} @attribute 'department205' { t} @attribute 'department206' { t} @attribute 'department207' { t} @attribute 'department208' { t} @attribute 'department209' { t} @attribute 'department210' { t} @attribute 'department211' { t} @attribute 'department212' { t} @attribute 'department213' { t} @attribute 'department214' { t} @attribute 'department215' { t} @attribute 'department216' { t} @attribute 'total' { low, high} % low < 100 @data 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,t,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,t,t,t,t,t,f,t,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,t,f,f,f,f,t,t,t,t,f,t,f,f,f,t,f,t,t,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,t,t,f,t,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,t,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,f,f,t,f,f,t,t,f,t,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,t,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,t,t,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,t,t,f,f,f,t,t,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,f,t,t,t,t,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,t,f,f,f,t,t,f,t,t,t,t,t,f,t,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,t,t,t,t,t,f,f,t,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,t,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,t,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,t,f,t,t,t,t,f,t,f,t,t,t,f,f,t,t,t,f,f,t,t,f,f,f,t,t,f,t,f,t,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,t,f,f,f,t,t,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,t,t,t,f,f,f,t,t,f,t,f,f,t,f,f,t,t,f,t,t,t,t,t,f,f,f,t,f,f,t,f,f,t,t,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,t,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,t,t,f,t,f,t,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,t,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,f,f,t,t,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,t,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,f,t,f,f,f,t,t,f,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,t,t,t,f,f,f,t,f,t,t,t,t,t,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,f,f,f,f,t,t,t,t,f,f,f,t,f,f,f,t,f,t,t,t,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,t,t,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,t,t,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,t,t,f,f,f,t,t,t,t,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,t,t,f,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,t,f,t,t,t,t,f,t,f,t,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,t,f,t,f,t,t,t,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,t,t,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,f,f,t,t,t,t,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,t,f,f,t,t,t,f,f,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,t,t,f,f,t,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,t,f,f,t,f,t,f,t,f,f,t,f,f,t,t,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,t,f,t,f,f,t,t,f,f,t,f,t,t,f,t,f,t,f,f,f,t,f,t,t,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,t,f,f,f,t,t,t,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,t,t,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,t,t,t,t,f,f,f,t,f,t,f,t,f,t,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,t,f,f,t,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,f,t,t,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,t,t,f,f,t,f,f,t,t,f,t,t,f,f,f,t,t,t,f,t,t,t,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,f,f,t,t,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,t,f,t,f,f,f,f,t,f,t,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,t,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,t,f,f,t,f,t,f,t,t,t,t,f,f,f,t,f,t,t,t,t,t,f,f,f,t,t,f,t,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,t,f,t,f,f,t,f,t,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,t,t,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,f,f,f,f,f,t,t,t,f,f,t,f,f,t,f,f,t,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,f,f,f,t,t,t,t,f,t,f,t,t,f,t,f,f,t,f,t,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,t,f,f,t,t,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,t,t,t,t,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,t,t,f,t,t,t,f,t,t,t,f,f,f,t,t,f,t,t,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,t,f,t,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,t,t,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,t,t,t,f,t,f,f,t,t,t,t,t,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,t,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,t,t,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,t,f,t,f,t,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,t,f,f,f,f,t,t,t,t,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,t,t,f,f,f,f,t,f,f,f,t,t,f,f,t,t,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,t,t,f,f,f,t,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,f,f,t,f,t,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,t,t,f,f,t,f,t,f,t,t,f,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,t,f,t,t,f,t,f,t,f,f,f,t,f,t,t,t,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,t,t,f,t,t,f,t,t,f,f,f,t,f,t,f,t,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,f,f,t,f,t,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,t,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,t,t,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,t,f,t,f,f,f,t,t,f,f,t,t,f,f,f,t,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,t,t,t,f,f,f,t,t,f,t,f,f,t,t,f,f,t,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,t,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,t,t,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,t,f,t,f,t,t,f,t,f,f,f,t,f,t,t,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,t,f,t,t,f,t,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,f,f,t,f,t,t,f,t,f,t,f,t,f,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,t,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,t,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,t,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,t,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,t,t,f,f,f,t,f,t,t,f,f,f,t,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,t,f,f,t,t,t,f,f,f,t,f,f,f,f,f,t,t,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,t,f,f,t,t,t,t,t,t,t,t,f,f,f,t,f,t,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,t,t,t,f,f,t,t,f,f,t,t,f,t,t,t,t,t,f,f,t,f,t,f,t,f,f,t,t,f,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,t,t,f,t,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,t,t,f,t,t,f,t,f,t,f,t,t,f,f,t,t,f,f,f,f,t,t,f,f,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,t,t,t,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,t,t,t,f,t,t,t,t,f,f,f,f,f,f,f,t,t,t,f,t,t,f,f,f,t,t,f,f,t,f,t,t,f,f,t,f,t,f,t,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,t,t,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,t,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,t,t,f,t,t,t,f,f,t,f,t,t,t,f,t,t,t,f,f,t,f,t,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,t,f,t,f,t,f,f,t,f,f,f,t,t,t,f,t,t,t,f,t,t,f,f,f,t,f,t,t,f,f,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,t,f,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,t,t,t,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,t,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,t,f,f,t,f,t,f,t,f,t,t,f,f,f,t,t,f,t,f,t,t,f,f,t,f,f,f,t,f,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,t,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,t,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,t,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,t,f,t,t,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,t,f,f,f,t,t,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,t,t,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,f,f,f,t,f,t,t,t,f,f,t,f,f,t,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,t,t,f,f,t,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,t,t,f,t,f,t,t,f,f,f,f,f,f,t,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,t,f,f,f,t,t,f,f,t,t,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,t,f,t,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,t,f,f,f,t,t,t,t,f,t,t,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,t,f,f,t,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,t,t,t,t,f,f,f,t,f,t,f,t,f,t,t,t,f,t,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,f,t,t,t,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,t,f,f,f,t,t,t,f,t,f,t,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,f,t,t,t,f,f,f,t,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,t,f,t,f,t,t,t,t,f,f,t,t,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,t,t,f,f,t,t,f,t,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,t,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,t,t,t,t,f,t,f,f,f,f,t,t,f,t,t,f,f,f,f,t,f,t,t,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,t,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,t,t,f,t,f,f,f,f,f,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,f,t,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,f,t,t,t,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,t,t,t,t,t,f,t,f,f,t,f,t,f,f,t,t,f,t,f,f,f,t,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,low t,f,f,f,f,f,t,f,f,f,f,t,t,t,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,t,f,t,f,t,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,t,t,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,t,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,t,f,f,f,t,t,t,t,t,f,t,t,f,f,f,t,f,f,f,t,f,t,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,f,t,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,t,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,t,t,t,f,f,f,t,t,f,f,f,f,f,t,t,t,t,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,t,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,t,t,f,f,t,f,t,t,f,f,f,t,f,f,f,t,t,f,t,t,t,t,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,t,f,t,f,f,f,t,t,f,f,f,t,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,t,f,f,t,f,f,t,f,t,f,t,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,t,t,f,f,t,t,t,t,t,f,f,t,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,t,t,t,t,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,f,f,f,t,f,t,t,t,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,t,f,f,t,t,f,t,t,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,t,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,t,f,t,f,t,f,f,f,f,f,t,t,t,f,t,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,t,t,t,f,f,t,f,f,f,t,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,t,t,f,t,f,f,f,t,f,f,f,t,f,t,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,t,t,f,f,t,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,t,t,t,t,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,t,f,t,t,t,f,f,t,t,t,t,t,t,f,t,f,f,f,t,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,t,f,f,f,t,f,t,t,f,f,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,t,f,f,f,f,f,t,t,t,f,f,t,f,f,f,t,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,t,t,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,f,t,t,t,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,f,t,t,t,f,t,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,t,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,t,f,t,f,t,t,f,f,t,t,f,f,f,f,f,t,f,t,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,t,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,t,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,t,t,f,t,t,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,f,t,f,t,f,t,t,f,f,t,t,f,f,f,t,f,t,t,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,t,t,f,f,t,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,t,t,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,t,f,t,t,t,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,t,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,t,t,t,t,t,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,t,f,t,f,f,f,t,f,t,t,t,f,f,t,t,t,t,t,f,t,t,t,t,t,f,f,f,t,f,f,t,t,f,f,t,t,t,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,f,f,t,f,f,t,f,t,f,t,t,f,f,f,f,t,t,t,f,t,f,t,t,f,f,f,f,t,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,f,t,t,f,t,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,t,t,t,t,f,f,t,f,t,t,f,f,f,t,f,f,t,f,f,f,t,t,t,t,f,t,f,f,f,f,t,t,t,t,t,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,t,t,f,t,f,t,f,t,f,f,f,f,f,t,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,t,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,f,f,f,f,t,t,f,t,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,f,t,f,f,t,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,t,t,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,t,t,t,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,f,f,t,f,t,t,f,t,f,t,f,f,f,t,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,t,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,t,t,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,f,t,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,t,f,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,t,t,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,t,t,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,f,t,t,t,t,f,f,t,f,f,t,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,t,f,t,t,f,f,f,f,t,f,t,t,t,t,f,f,f,t,f,f,t,f,f,t,t,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,t,f,f,t,f,t,t,f,f,t,t,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,t,t,f,t,f,f,f,t,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,t,f,f,t,t,f,t,f,t,t,f,t,f,t,f,t,f,t,f,f,f,f,t,t,f,f,f,t,t,t,t,t,f,f,f,f,f,f,f,t,t,t,t,t,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,t,f,t,f,f,t,f,f,f,t,t,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,t,f,f,t,f,f,t,t,t,t,t,t,t,t,f,f,f,t,t,f,f,t,t,t,f,f,t,t,t,f,t,f,t,t,t,f,t,t,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,t,f,t,f,f,t,t,t,f,t,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,t,t,t,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,f,f,f,t,f,t,f,t,f,t,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,t,t,f,t,t,f,f,t,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,t,t,t,f,t,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,t,f,t,f,f,f,t,f,t,f,f,f,t,f,f,f,t,t,t,t,t,t,f,f,f,t,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,t,f,t,f,f,f,f,f,t,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,t,t,t,t,t,f,f,f,t,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,t,f,t,t,t,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,t,t,t,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,t,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,t,f,f,f,f,t,t,t,f,f,f,t,f,f,f,t,t,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,t,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,f,t,f,t,f,t,t,f,t,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,t,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,t,f,t,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,t,f,t,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,t,t,t,f,f,f,f,f,t,f,f,f,t,t,t,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,t,f,t,t,t,f,t,f,t,f,t,f,t,t,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,t,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,t,f,f,f,t,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,f,t,t,f,t,f,t,t,f,t,f,t,f,f,f,f,f,t,f,t,t,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,t,t,f,f,f,f,f,t,t,t,f,t,t,f,t,f,f,f,t,f,t,t,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,t,f,t,t,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,t,t,f,t,t,t,t,t,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,t,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,t,f,t,t,t,f,f,t,f,f,t,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,t,t,t,t,f,f,t,f,f,t,f,t,f,t,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,t,f,f,t,f,t,f,t,t,t,f,t,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,t,t,f,t,f,t,t,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,f,t,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,t,t,t,t,t,f,f,t,f,t,f,f,f,t,f,f,t,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,t,f,f,t,t,t,f,t,f,f,t,f,f,f,f,t,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,t,t,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,t,t,t,t,t,f,t,f,f,f,t,f,f,t,t,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,t,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,t,t,t,f,t,f,t,f,t,t,t,t,f,f,t,t,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,t,f,t,f,t,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,t,t,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,t,t,t,f,t,f,f,t,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,t,t,t,f,f,f,t,f,t,t,f,t,f,f,f,f,f,t,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,t,t,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,t,t,f,t,t,t,f,f,f,f,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,t,t,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,t,t,t,t,t,f,f,t,f,f,t,f,f,f,f,t,t,t,f,f,t,f,t,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,t,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,t,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,t,t,f,t,t,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,t,t,f,f,f,t,t,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,t,t,t,t,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,t,t,f,f,f,t,t,t,f,f,f,t,f,f,f,t,t,t,t,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,t,t,t,f,f,t,t,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,t,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,f,f,t,t,t,f,f,f,f,f,f,f,t,f,t,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,t,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,f,f,t,t,f,t,t,f,f,t,f,f,f,f,t,f,t,f,t,t,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,f,f,t,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,t,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,t,t,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,t,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,f,t,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,t,t,f,f,t,t,t,t,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,t,t,t,f,f,f,t,t,t,t,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,t,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,t,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,t,t,t,t,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,t,t,t,t,f,f,t,f,t,t,t,t,f,t,f,f,f,t,f,t,f,t,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,t,f,t,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,t,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,t,t,f,t,f,t,f,f,t,f,t,t,f,f,t,f,t,f,t,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,f,t,f,f,t,t,t,f,f,f,t,f,f,f,f,t,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,t,t,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,t,f,f,t,t,t,t,t,t,f,t,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,t,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,t,t,t,f,f,f,t,t,t,f,f,f,t,f,f,f,t,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,t,t,f,t,f,f,f,f,t,t,f,t,t,t,t,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,t,t,f,f,f,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,f,t,f,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,t,f,t,t,f,f,f,t,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,f,t,t,t,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,t,f,f,t,t,f,t,f,f,f,t,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,t,t,f,f,t,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,t,t,t,t,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,t,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,t,t,f,t,f,f,f,f,t,t,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,t,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,t,f,t,t,t,f,t,t,t,f,f,t,f,t,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,t,f,f,t,f,f,f,f,t,t,f,f,t,t,t,f,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,t,t,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,t,f,t,t,f,t,f,f,t,f,t,f,f,f,f,t,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,f,f,f,t,t,t,t,t,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,t,t,f,f,t,f,t,t,f,f,t,t,f,f,f,t,t,t,t,t,t,t,f,f,t,f,f,f,t,t,f,t,t,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,f,t,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,t,t,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,t,f,f,f,f,f,t,f,t,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,t,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,t,f,f,t,f,t,f,f,f,f,t,f,t,f,t,f,f,f,t,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,t,f,t,f,f,t,t,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,t,f,t,f,t,f,f,t,f,f,t,t,f,t,f,t,t,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,t,f,f,t,t,t,f,f,t,f,t,t,f,t,f,f,f,t,f,t,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,t,f,t,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,t,f,t,f,t,f,t,t,t,t,f,t,f,t,f,f,f,t,f,f,t,t,t,t,f,t,t,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,high f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,t,t,t,f,f,t,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,t,t,f,f,t,t,t,f,t,f,f,t,f,f,f,t,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,t,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,t,f,f,t,f,t,t,t,f,f,f,t,t,t,f,t,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,f,f,f,t,t,t,f,t,f,f,t,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,t,t,f,f,f,t,t,f,f,f,t,f,f,t,f,t,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,t,t,f,f,f,t,f,t,t,t,f,f,t,f,f,f,t,f,f,t,t,t,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,t,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,t,t,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,t,t,f,f,t,t,t,t,f,f,f,t,f,f,f,t,f,t,t,t,t,t,f,f,t,f,t,f,t,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,t,t,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,t,f,t,t,f,t,t,t,f,t,f,t,f,f,f,f,t,t,f,f,f,t,t,t,f,t,f,f,f,f,f,t,f,t,f,t,t,t,f,t,f,f,f,t,f,t,t,f,t,f,t,f,f,f,f,t,f,t,t,t,t,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,t,f,t,f,f,f,f,t,f,t,t,f,t,f,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,f,t,f,f,t,f,t,f,f,f,t,t,f,f,t,t,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,t,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,t,f,t,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,t,f,t,t,t,t,f,f,t,f,f,f,f,f,t,t,f,t,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,t,f,f,f,t,f,f,t,f,f,t,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,t,f,f,f,t,f,t,f,t,t,t,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,t,f,f,t,f,f,f,t,f,t,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,t,t,t,t,t,f,t,t,t,f,f,f,f,t,f,f,f,t,f,f,t,t,t,t,f,f,t,f,f,f,t,f,t,t,f,t,f,t,f,f,t,f,f,f,f,t,f,t,t,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,f,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,t,f,t,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,t,t,t,t,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,f,t,t,t,t,f,f,t,f,f,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,t,t,f,t,t,t,f,f,f,f,t,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,t,t,f,f,f,f,t,f,f,t,t,t,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,t,t,t,f,f,t,f,t,f,t,f,t,f,f,f,f,t,f,t,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,f,t,t,f,f,f,f,f,t,t,t,f,f,t,f,f,f,t,f,t,t,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,t,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,t,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,high f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,t,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,t,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,t,t,t,f,f,f,f,t,t,f,f,f,f,t,t,t,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,t,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,t,t,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,t,f,f,f,f,t,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,t,t,t,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,t,t,f,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,t,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,t,f,f,f,f,t,t,t,f,f,f,t,f,f,t,t,t,t,f,t,t,t,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,t,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,t,f,t,t,t,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,t,f,f,f,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,t,t,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,t,f,t,f,f,f,f,t,f,f,f,t,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,t,t,f,f,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,f,t,f,f,f,f,f,t,t,t,f,f,t,f,f,t,t,f,f,f,t,t,t,f,f,t,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,t,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,t,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,t,f,f,f,t,t,t,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,t,f,t,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,t,t,f,f,f,f,t,t,f,t,t,f,t,f,f,f,t,f,t,f,t,t,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,t,t,t,t,f,f,t,f,t,f,t,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,t,f,t,f,f,f,t,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,t,t,f,t,f,t,f,t,t,t,t,f,f,t,f,f,f,f,f,t,f,t,t,t,t,f,t,t,t,t,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,t,f,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,t,t,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,t,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,t,t,t,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,t,f,t,f,t,t,f,t,f,f,f,t,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,f,f,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,t,f,f,t,t,f,t,f,f,f,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,t,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,t,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,t,t,f,f,t,t,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,t,f,f,f,f,t,f,t,t,t,f,f,t,f,f,f,f,f,t,t,t,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,f,f,f,f,f,f,t,t,f,f,f,t,t,t,f,f,f,f,f,t,t,t,t,t,f,f,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,t,f,t,t,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,t,t,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,t,f,f,t,t,f,t,t,f,f,f,f,t,f,f,t,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,t,f,f,f,f,t,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,t,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,t,t,t,t,t,f,f,f,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,t,f,f,t,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low 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f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,t,t,t,t,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,t,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,f,t,f,f,f,f,t,f,f,t,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,t,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,t,f,t,f,f,t,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,f,f,f,t,t,f,f,t,t,t,f,f,f,f,f,f,f,t,t,f,t,t,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,low f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,t,f,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,t,t,f,t,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,f,f,t,f,f,t,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,t,f,t,t,t,f,f,f,t,t,f,t,f,f,t,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,t,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,t,f,t,f,f,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,t,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,t,t,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,t,t,t,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,t,t,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low 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f,f,f,f,f,f,f,f,f,f,f,t,t,t,f,f,t,t,f,t,t,t,f,f,t,f,t,t,t,f,f,t,f,f,f,t,f,f,t,t,t,t,f,t,f,f,t,f,t,f,f,f,t,f,f,t,f,f,f,f,t,t,f,f,f,f,t,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,t,t,f,f,f,f,f,t,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high t,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,t,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,t,t,t,t,t,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,high t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,t,f,f,f,t,f,f,t,f,t,t,f,f,t,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high 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f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,t,t,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,f,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,t,f,f,f,t,t,f,t,t,t,t,f,t,t,f,f,f,f,t,t,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,t,t,f,f,t,f,f,t,f,f,t,f,f,f,f,f,t,t,f,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,f,f,f,t,f,t,f,t,f,f,t,f,f,f,t,f,f,t,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,t,f,t,f,f,t,f,f,f,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,t,f,f,f,f,f,f,f,f,t,t,f,t,f,t,f,t,t,t,f,f,f,f,t,f,t,f,f,t,f,f,f,f,f,t,f,f,t,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,t,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,t,f,f,t,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,t,t,f,t,f,f,t,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,t,t,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,f,f,t,f,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,t,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,low t,f,f,f,f,f,f,f,f,f,f,f,t,f,f,t,f,t,f,f,f,t,t,f,f,f,f,t,f,f,f,t,f,f,f,f,f,f,t,t,t,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,t,f,f,f,f,f,t,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,t,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,high