@relation supermarket @attribute 'department1' {f,t} @attribute 'department2' {f,t} @attribute 'department3' {f,t} @attribute 'department4' {f,t} @attribute 'department5' {f,t} @attribute 'department6' {f,t} @attribute 'department7' {f,t} @attribute 'department8' {f,t} @attribute 'department9' {f,t} @attribute 'grocery misc' {f,t} @attribute 'department11' {f,t} @attribute 'baby needs' {f,t} @attribute 'bread and cake' {f,t} @attribute 'baking needs' {f,t} @attribute 'coupons' {f,t} @attribute 'juice-sat-cord-ms' {f,t} @attribute 'tea' {f,t} @attribute 'biscuits' {f,t} @attribute 'canned fish-meat' {f,t} @attribute 'canned fruit' {f,t} @attribute 'canned vegetables' {f,t} @attribute 'breakfast food' {f,t} @attribute 'cigs-tobacco pkts' {f,t} @attribute 'cigarette cartons' {f,t} @attribute 'cleaners-polishers' {f,t} @attribute 'coffee' {f,t} @attribute 'sauces-gravy-pkle' {f,t} @attribute 'confectionary' {f,t} @attribute 'puddings-deserts' {f,t} @attribute 'dishcloths-scour' {f,t} @attribute 'deod-disinfectant' {f,t} @attribute 'frozen foods' {f,t} @attribute 'razor blades' {f,t} @attribute 'fuels-garden aids' {f,t} @attribute 'spices' {f,t} @attribute 'jams-spreads' {f,t} @attribute 'insecticides' {f,t} @attribute 'pet foods' {f,t} @attribute 'laundry needs' {f,t} @attribute 'party snack foods' {f,t} @attribute 'tissues-paper prd' {f,t} @attribute 'wrapping' {f,t} @attribute 'dried vegetables' {f,t} @attribute 'pkt-canned soup' {f,t} @attribute 'soft drinks' {f,t} @attribute 'health food other' {f,t} @attribute 'beverages hot' {f,t} @attribute 'health&beauty misc' {f,t} @attribute 'deodorants-soap' {f,t} @attribute 'mens toiletries' {f,t} @attribute 'medicines' {f,t} @attribute 'haircare' {f,t} @attribute 'dental needs' {f,t} @attribute 'lotions-creams' {f,t} @attribute 'sanitary pads' {f,t} @attribute 'cough-cold-pain' {f,t} @attribute 'department57' {f,t} @attribute 'meat misc' {f,t} @attribute 'cheese' {f,t} @attribute 'chickens' {f,t} @attribute 'milk-cream' {f,t} @attribute 'cold-meats' {f,t} @attribute 'deli gourmet' {f,t} @attribute 'margarine' {f,t} @attribute 'salads' {f,t} @attribute 'small goods' {f,t} @attribute 'dairy foods' {f,t} @attribute 'fruit drinks' {f,t} @attribute 'delicatessen misc' {f,t} @attribute 'department70' {f,t} @attribute 'beef' {f,t} @attribute 'hogget' {f,t} @attribute 'lamb' {f,t} @attribute 'pet food' {f,t} @attribute 'pork' {f,t} @attribute 'poultry' {f,t} @attribute 'veal' {f,t} @attribute 'gourmet meat' {f,t} @attribute 'department79' {f,t} @attribute 'department80' {f,t} @attribute 'department81' {f,t} @attribute 'produce misc' {f,t} @attribute 'fruit' {f,t} @attribute 'plants' {f,t} @attribute 'potatoes' {f,t} @attribute 'vegetables' {f,t} @attribute 'flowers' {f,t} @attribute 'department88' {f,t} @attribute 'department89' {f,t} @attribute 'variety misc' {f,t} @attribute 'brushware' {f,t} @attribute 'electrical' {f,t} @attribute 'haberdashery' {f,t} @attribute 'kitchen' {f,t} @attribute 'manchester' {f,t} @attribute 'pantyhose' {f,t} @attribute 'plasticware' {f,t} @attribute 'department98' {f,t} @attribute 'stationary' {f,t} @attribute 'department100' {f,t} @attribute 'department101' {f,t} @attribute 'department102' {f,t} @attribute 'prepared meals' {f,t} @attribute 'preserving needs' {f,t} @attribute 'condiments' {f,t} @attribute 'cooking oils' {f,t} @attribute 'department107' {f,t} @attribute 'department108' {f,t} @attribute 'department109' {f,t} @attribute 'department110' {f,t} @attribute 'department111' {f,t} @attribute 'department112' {f,t} @attribute 'department113' {f,t} @attribute 'department114' {f,t} @attribute 'health food bulk' {f,t} @attribute 'department116' {f,t} @attribute 'department117' {f,t} @attribute 'department118' {f,t} @attribute 'department119' {f,t} @attribute 'department120' {f,t} @attribute 'bake off products' {f,t} @attribute 'department122' {f,t} @attribute 'department123' {f,t} @attribute 'department124' {f,t} @attribute 'department125' {f,t} @attribute 'department126' {f,t} @attribute 'department127' {f,t} @attribute 'department128' {f,t} @attribute 'department129' {f,t} @attribute 'department130' {f,t} @attribute 'small goods2' {f,t} @attribute 'offal' {f,t} @attribute 'mutton' {f,t} @attribute 'trim pork' {f,t} @attribute 'trim lamb' {f,t} @attribute 'imported cheese' {f,t} @attribute 'department137' {f,t} @attribute 'department138' {f,t} @attribute 'department139' {f,t} @attribute 'department140' {f,t} @attribute 'department141' {f,t} @attribute 'department142' {f,t} @attribute 'department143' {f,t} @attribute 'department144' {f,t} @attribute 'department145' {f,t} @attribute 'department146' {f,t} @attribute 'department147' {f,t} @attribute 'department148' {f,t} @attribute 'department149' {f,t} @attribute 'department150' {f,t} @attribute 'department151' {f,t} @attribute 'department152' {f,t} @attribute 'department153' {f,t} @attribute 'department154' {f,t} @attribute 'department155' {f,t} @attribute 'department156' {f,t} @attribute 'department157' {f,t} @attribute 'department158' {f,t} @attribute 'department159' {f,t} @attribute 'department160' {f,t} @attribute 'department161' {f,t} @attribute 'department162' {f,t} @attribute 'department163' {f,t} @attribute 'department164' {f,t} @attribute 'department165' {f,t} @attribute 'department166' {f,t} @attribute 'department167' {f,t} @attribute 'department168' {f,t} @attribute 'department169' {f,t} @attribute 'department170' {f,t} @attribute 'department171' {f,t} @attribute 'department172' {f,t} @attribute 'department173' {f,t} @attribute 'department174' {f,t} @attribute 'department175' {f,t} @attribute 'department176' {f,t} @attribute 'department177' {f,t} @attribute 'department178' {f,t} @attribute 'department179' {f,t} @attribute 'casks white wine' {f,t} @attribute 'casks red wine' {f,t} @attribute '750ml white nz' {f,t} @attribute '750ml red nz' {f,t} @attribute '750ml white imp' {f,t} @attribute '750ml red imp' {f,t} @attribute 'sparkling nz' {f,t} @attribute 'sparkling imp' {f,t} @attribute 'brew kits/accesry' {f,t} @attribute 'department189' {f,t} @attribute 'port and sherry' {f,t} @attribute 'ctrled label wine' {f,t} @attribute 'department192' {f,t} @attribute 'department193' {f,t} @attribute 'department194' {f,t} @attribute 'department195' {f,t} @attribute 'department196' {f,t} @attribute 'department197' {f,t} @attribute 'department198' {f,t} @attribute 'department199' {f,t} @attribute 'non host support' {f,t} @attribute 'department201' {f,t} @attribute 'department202' {f,t} @attribute 'department203' {f,t} @attribute 'department204' {f,t} @attribute 'department205' {f,t} @attribute 'department206' {f,t} @attribute 'department207' {f,t} @attribute 'department208' {f,t} @attribute 'department209' {f,t} @attribute 'department210' {f,t} @attribute 'department211' {f,t} @attribute 'department212' {f,t} @attribute 'department213' {f,t} @attribute 'department214' {f,t} @attribute 'department215' {f,t} @attribute 'department216' 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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