,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<??????????????====??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<??????????????====??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????================??????<<<<????????????????====????????<<<<??????================??????<<<<??????================??????<<<<??????================??????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????================??????<<<<????????????????====????????<<<<??????================??????<<<<??????================??????<<<<??????================??????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??========================??<<<<??==????????????====????==??<<<<??========================??<<<<??========================??<<<<??======????====????======??<<<<??==??????????????????====??<<<<??==??????????????????====??<<<<??==??==????????????????==??<<<<??========================??<<<<??==????????????====????==??<<<<??========================??<<<<??========================??<<<<??======????====????======??<<<<??==??????????????????====??<<<<??==??????????????????====??<<<<??==??==????????????????==??<<<<??========================??<<<<??==??????????======????==??<<<<??========================??<<<<??========================??<<<<??======????==????????====??<<<<??==????????????????======??<<<<??====??????????????======??<<<<??==??==????????????????==??<<<<??========================??<<<<??==??????????======????==??<<<<??========================??<<<<??========================??<<<<??======????==????????====??<<<<??==????????????????======??<<<<??====??????????????======??<<<<??==??==????????????????==??<<<<??========================??<<<<??====??????========????==??<<<<??========================??<<<<??========================??<<<<??============????????====??<<<<??====????????????========??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??====??????========????==??<<<<??========================??<<<<??========================??<<<<??============????????====??<<<<??====????????????========??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??================????====??<<<<??========================??<<<<??========================??<<<<??==============????======??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??================????====??<<<<??========================??<<<<??========================??<<<<??==============????======??<<<<??========================??<<<<??========================??<<<<??========================??<<<<::========================::<<<<::==============??========::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==============??========::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<??????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????====??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????============??????<<<<????????????????????????????,,<<????????????????????????????<<<<??????????????????==????????<<<<??????================??????,,,,????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????================??????<<<<????????????????????????????,,<<????????????????????????????<<<<??????????????????==????????<<<<??????================??????,,,,????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????====================??<<<<??==??????????????????====??,,,,??==????????????????????==??<<<<??????????????????==??====??<<<<??========================??,,,,??==??????????????????====??<<<<??==????????????????????==??<<<<??????????????????==??====??<<<<??========================??<<<<??==??????????????????====??,,,,??==????????????????????==??<<<<??????????????????==??====??<<<<??========================??,,,,??==??????????????????====??<<<<??==????????????????????==??<<<<??????????????????==??====??<<<<??========================??<<<<??==??????????????????====??<<,,??==??==????????????==??==??<<<<??????==??????????==??====??<<<<??========================??,,,,??==??????????????????====??<<<<??==????????????????????==??<<<<??????==??????????==??====??<<<<??========================??<<<<??==??????????????????====??<<,,??==??==????????????==??==??<<<<??????==??????????==??====??<<<<??========================??,,,,??==??????????????????====??<<<<??==????????????????????==??<<<<??????==??????????==??====??<<<<??========================??<<<<??==????==????????==??====??<<<<??==??==????????????==??==??<<<<??????====??????====??====??<<<<??========================??<<<<??==????==????????==??====??<<<<??==????????????????????==??<<<<??????====??????====??====??<<<<??========================??<<<<??==????==????????==??====??<<<<??==??==????????????==??==??<<<<??????====??????====??====??<<<<??========================??<<<<??==????==????????==??====??<<<<??==????????????????????==??<<<<??????====??????====??====??<<<<??========================??<<<<??==????============??====??<<<<??==??====????????====??==??<<<<??==??==============??====??<<<<??========================??,,,,??==????============??====??<<<<??==????????????????????==??<<<<??==??==============??====??<<<<??========================??<<<<??==????============??====??<<<<??==??====????????====??==??<<<<??==??==============??====??<<<<??========================??,,,,??==????============??====??<<<<??==????????????????????==??<<<<??==??==============??====??<<<<??========================::<<<<::====????================::<<<<??==????==================??<<<<::==??????========????====::<<<<::========================::,,,,::====????================::<<<<??==??????==========??====??<<<<::==????==========????====::<<<<::========================::<<<<::====????================::<<<<??==????==================??<<<<::==??????========????====::<<<<::========================::,,,,::====????================::<<<<??==??????==========??====??<<<<::==????==========????====::<<<<::========================::<<<<::======??================::<<<<::====??????==============::<<<<::====??????==============::<<<<::========================::<<<<::======??================::<<<<::====??????==============::<<<<::====????================::<<<<::========================::<<<<::======??================::<<<<::====??????==============::<<<<::====??????==============::<<<<::========================::<<<<::======??================::<<<<::====??????==============::<<<<::====????================::<<<<::======================::::<<<<::::====================::::<<<<::::======????==========::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::======????==========::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::======????==========::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::======????==========::::<<<<::::====================::::<<<<::::================,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,========,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,==,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<??????????========??????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<??????????========??????????<<<<????????????????????????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????????????????????<<<<<<????????????????????????????<<<<??????================??????<<<<??????==????????????????????<<<<????????????????????==????<<<<<<????????????????????????????<<<<??????================??????<<<<????????==============??????<<<<????????????????????==????<<<<<<????????????????????????????<<<<??????================??????<<<<??????==????????????????????<<<<????????????????????==????<<<<<<????????????????????????????<<<<??????================??????<<<<????????==============??????<<<<????????????????????==????<<<<<<????????????????????????????<<<<??========================??<<<<??==??==????????????==??????<<<<??==????????????????====??,,<<<<??==????????????????????==??<<<<??========================??<<<<??==????==================??<<<<??==????????????????====??,,<<<<??==????????????????????==??<<<<??========================??<<<<??==??==????????????==??????<<<<??==????????????????====??,,<<<<??==????????????????????==??<<<<??========================??<<<<??==????==================??<<<<??==????????????????====??,,<<<<??==????????????????????==??<<<<??========================??<<<<??==??====????????====??==??<<<<??==????==????????======??,,<<<<??==??====????????====??==??<<<<??========================??<<<<??==????==================??<<<<??==????==????????======??,,<<<<??==??====????????====??==??<<<<??========================??<<<<??==??====????????====??==??<<<<??==????==????????======??,,<<<<??==??====????????====??==??<<<<??========================??<<<<??==????==================??<<<<??==????==????????======??,,<<<<??==??====????????====??==??<<<<??========================??<<<<??==??================??==??<<<<??==????====????========??,,<<<<??==??================??==??<<<<??========================??<<<<??====????========????====??<<<<??==????====????========??,,<<<<??==??================??==??<<<<??========================??<<<<??==??================??==??<<<<??==????====????========??,,<<<<??==??================??==??<<<<??========================??<<<<??====????========????====??<<<<??==????====????========??,,<<<<??==??================??==??<<<<??========================??<<<<??==================????==??<<<<??====??============????,,,,<<<<??==??====================??<<<<??========================??<<<<??======????======??????==??<<<<??====??================??,,<<<<??==??====================??<<<<??========================??<<<<??==================????==??<<<<??====??============????,,,,<<<<??==??====================??<<<<??========================??<<<<??======????======??????==??<<<<??====??================??,,<<<<??==??====================??<<<<::========================::<<<<::==================??====::<<<<::======??========??<<,,,,,,<<<<::========================::<<<<::========================::<<<<::==================????==::<<<<::======??==============??,,<<<<::========================::<<<<::========================::<<<<::==================??====::<<<<::======??========??<<,,,,,,<<<<::========================::<<<<::========================::<<<<::==================????==::<<<<::======??==============??,,<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==============??<<,,,,,,<<<<<<::========================::<<<<::========================::<<<<::========================::<<<<::====================::::<<<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==============??<<,,,,,,<<<<<<::========================::<<<<::========================::<<<<::========================::<<<<::====================::::<<<<<<::========================::<<<<::::====================::::<<<<::::====================::::<<<<::::============??<<,,,,<<<<<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::================::::<<<<<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::============??<<,,,,<<<<<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::================::::<<<<<<<<::::====================::::<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,========??<<<<<<<<<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,==========,,,,<<<<<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,========??<<<<<<<<<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,==========,,,,<<<<<<<<<<<<,,,,,,============,,,,,,<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,,,,,,,<<<<<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,,,,,,,,,<<<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,,,,,,,<<<<<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,,,,,,,,,<<<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<??????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????====??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<,,????????????????????????????<<<<??????????========??????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<,,????????????????????????????<<<<??????????========??????????<<<<??????????============??????<<,,????????????????????????????<<<<????????????????????????????<<<<??????==????????????????????<<<<????????????????????????????<<<<??????================??????,,,,??????==????????????????????<<<<??????================??????<<<<??????================??????<<,,????????????????????????????<<<<????????????????????????????<<<<??????==????????????????????<<<<????????????????????????????<<<<??????================??????,,,,??????==????????????????????<<<<??????================??????<<<<??????====================??,,,,??==????????????????????????<<<<??====??????????????======??<<<<??==??==????????????????==??<<<<??====??????????????????==??<<<<??========================??,,,,??==??==????????????????????<<<<??========================??<<<<??========================??,,,,??==????????????????????????<<<<??====??????????????======??<<<<??==??==????????????????==??<<<<??====??????????????????==??<<<<??========================??,,,,??==??==????????????????????<<<<??========================??<<<<??========================??,,<<??==????==????????==????==??<<<<??======??????????========??<<<<??==??====????????==????==??<<<<??====??????????????????==??<<<<??========================??,,<<??==??==????????????==??????<<<<??========================??<<<<??========================??,,<<??==????==????????==????==??<<<<??======??????????========??<<<<??==??====????????==????==??<<<<??====??????????????????==??<<<<??========================??,,<<??==??==????????????==??????<<<<??========================??<<<<??========================??<<<<??====??============????==??<<<<??========================??<<<<??==????============??====??<<<<??======??????????????====??<<<<??========================??<<,,??==??====????????====??==??<<<<??========================??<<<<??========================??<<<<??====??============????==??<<<<??========================??<<<<??==????============??====??<<<<??======??????????????====??<<<<??========================??<<,,??==??====????????====??==??<<<<??========================??<<<<??========================??<<<<??====????==========????==??<<<<??========================??<<<<??====????========????====??<<<<??==============??????====??<<<<??========================??,,,,??==??================??==??<<<<??========================??<<<<??========================??<<<<??====????==========????==??<<<<??========================??<<<<??====????========????====??<<<<??==============??????====??<<<<??========================??,,,,??==??================??==??<<<<??========================??<<<<??========================::<<<<::========??========??====::<<<<::========================::<<<<::======????==============::<<<<::============??????======::<<<<::========================::,,<<::==================????==::<<<<::========================::<<<<::========================::<<<<::========??========??====::<<<<::========================::<<<<::======????==============::<<<<::============??????======::<<<<::========================::,,<<::==================????==::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==========??????========::<<<<::========================::<<<<::==================??====::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==========??????========::<<<<::========================::<<<<::==================??====::<<<<::========================::<<<<::======================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::================,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,========,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,==,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????======????????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????======??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????======????????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????======??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????================??????<<<<??????================??????<<<<??????========??????????????<<<<??????================??????<<<<??==????????????????????==??<<<<??????????==========????????<<<<??????================??????<<<<??????================??????<<<<??????================??????<<<<??????================??????<<<<??????========??????????????<<<<??????================??????<<<<??==????????????????????==??<<<<??????????==========????????<<<<??????================??????<<<<??????================??????<<<<??========================??<<<<??========================??<<<<??============????????====??<<<<??==??====================??<<<<??==??==????????????======??<<<<??==????============??====??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??============????????====??<<<<??==??====================??<<<<??==??==????????????======??<<<<??==????============??====??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??==============????======??<<<<??==??====================??<<<<??==??====================??<<<<??==????==================??<<<<??========================??<<<<??====================??????<<<<??========================??<<<<??========================??<<<<??==============????======??<<<<??==??====================??<<<<??==??====================??<<<<??==????==================??<<<<??========================??<<<<??====================??????<<<<??========================??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??==????==================??<<<<??====??==================??<<<<??========================??<<<<??==================????????<<<<??========================??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??==????==================??<<<<??====??==================??<<<<??========================??<<<<??==================????????<<<<??========================??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??====??==================??<<<<??======??================??<<<<??========================??<<<<??==================????????<<<<??========================??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??====??==================??<<<<??======??================??<<<<??========================??<<<<??==================????????<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==??????================::<<<<::======??================::<<<<::========================::<<<<::========================::<<<<::==============????==????::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==??????================::<<<<::======??================::<<<<::========================::<<<<::========================::<<<<::==============????==????::<<<<::========================::<<<<::========================::<<<<,,,,,,====================::<<<<::????????================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==============????======::<<<<::========================::<<<<::========================::<<<<,,,,,,====================::<<<<::????????================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==============????======::<<<<::::====================::::<<<<::::====================::::<<<<<<,,,,,,================::::<<<<::::????================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<<<,,,,,,================::::<<<<::::????================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<<<,,,,,,==========,,,,,,<<<<<<::,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<<<,,,,,,==========,,,,,,<<<<<<::,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<??????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<,,????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<,,????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????====??????????<<<<??????????========??????????,,,,??????????======????????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????,,,,??????????======????????????<<<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<??????????============??????<<<<??????================??????,,,,??????==========??==????????<<<<??????================??????<<<<??????==??????========??????<<<<??????????????????????==????<<<<????????????????????????????<<<<??????================??????<<<<??????================??????<<<<??????================??????,,,,??????==========??==????????<<<<??????================??????<<<<??????==??????========??????<<<<??????????????????????==????<<<<????????????????????????????<<<<??????================??????<<<<??????====================??<<<<??========================??,,,,??==============??==????==??<<<<??==========??????========??<<<<??========????============??<<<<??==??????????????????====??,,<<??==????????????????????==??<<<<??========================??<<<<??========================??<<<<??========================??,,,,??==============??==????==??<<<<??==========??????========??<<<<??========????============??<<<<??==??????????????????====??,,<<??==????????????????????==??<<<<??========================??<<<<??========================??<<<<??========================??<<,,??==================????==??<<<<??============??????======??<<<<??====????================??<<<<??==????????????????======??,,<<??==????????????????????==??<<<<??========================??<<<<??========================??<<<<??========================??<<,,??==================????==??<<<<??============??????======??<<<<??====????================??<<<<??==????????????????======??,,<<??==????????????????????==??<<<<??========================??<<<<??========================??<<<<??========================??<<,,??==================????==??<<<<??======??====????????====??<<<<??==????????==============??<<<<??==????==??==????========??,,<<??==????????????????????==??<<<<??========================??<<<<??========================??<<<<??========================??<<,,??==================????==??<<<<??======??====????????====??<<<<??==????????==============??<<<<??==????==??==????========??,,<<??==????????????????????==??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??================????====??<<<<??======??????????????====??<<<<??==????????==============??<<<<??==????==============????,,,,<<??==????????????????????==??<<<<??========================??<<<<??========================??<<<<??========================??<<<<??================????====??<<<<??======??????????????====??<<<<??==????????==============??<<<<??==????==============????,,,,<<??==????????????????????==??<<<<??========================??<<<<??========================::<<<<::========================::<<<<::==============????======::<<<<::========??????????======::<<<<::==??????================::<<<<::====????==========??<<,,,,,,<<??==??????==========??====??<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==============????======::<<<<::========??????????======::<<<<::==??????================::<<<<::====????==========??<<,,,,,,<<??==??????==========??====??<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==========??????========::<<<<::========================::<<<<::======??========??<<,,,,,,<<<<::====??????==============::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==========??????========::<<<<::========================::<<<<::======??========??<<,,,,,,<<<<::====??????==============::<<<<::========================::<<<<::======================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::==============??<<,,,,<<<<<<::::======????==========::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::==============??<<,,,,<<<<<<::::======????==========::::<<<<::::====================::::<<<<::::================,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,==========??<<<<<<<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,==========??<<<<<<<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,========,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,,,,,,,,,<<<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,,,,,,,,,<<<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,==,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<,,,,<<??????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<,,,,<<??????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<,,,,,,<<??????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<,,,,,,<<??????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<<<,,,,<<<<??????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<<<,,,,<<<<??????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??<<<<<<<<??????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??<<<<<<<<??????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????<<<<????????????????????????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????????====??????????<<<<??????????========??????????<<<<????????????????????????????<<<<??????????========??????????<<<<????????????????????????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????????====??????????<<<<??????????========??????????<<<<????????????????????????????<<<<??????==????==========??????<<<<??????==????????????????????<<<<??????================??????<<<<??????============??==??????<<<<??????================??????<<<<??????????????========??????<<<<??????????============??????<<<<????????????????????????????<<<<??????==????==========??????<<<<??????==????????????????????<<<<??????================??????<<<<??????============??==??????<<<<??????================??????<<<<??????????????========??????<<<<??????????============??????<<<<????????????????????????????<<<<??======????==============??<<<<??==??==????????????==??????<<<<??========================??<<<<??==============????==??==??<<<<??========================??<<<<??==????????==============??<<<<??====????================??<<<<??==????????????????????==??<<<<??======????==============??<<<<??==??==????????????==??????<<<<??========================??<<<<??==============????==??==??<<<<??========================??<<<<??==????????==============??<<<<??====????================??<<<<??==????????????????????==??<<<<??========================??<<<<??==??====????????====??==??<<<<??========================??<<<<??============????====??==??<<<<??========================??<<<<??========================??<<<<????==????================??<<<<??==??====????????====??==??<<<<??========================??<<<<??==??====????????====??==??<<<<??========================??<<<<??============????====??==??<<<<??========================??<<<<??========================??<<<<????==????================??<<<<??==??====????????====??==??<<<<??========================??<<<<??==??================??==??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??========================??<<<<??????====??==============??<<<<??==??================??==??<<<<??========================??<<<<??==??================??==??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??========================??<<<<??????====??==============??<<<<??==??================??==??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??================????====??<<<<??========================??<<<<??========================??<<<<??????====================??<<<<??==??====================??<<<<??========================??<<<<??==================????==??<<<<??========================??<<<<??================????====??<<<<??========================??<<<<??========================??<<<<??????====================??<<<<??==??====================??<<<<::========================::<<<<::==================??====::<<<<::========================::<<<<::==============????======::<<<<::========================::<<<<::========================::<<<<::??======================::<<<<::========================::<<<<::========================::<<<<::==================??====::<<<<::========================::<<<<::==============????======::<<<<::========================::<<<<::========================::<<<<::??======================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????<<<<,,,,<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????<<<<,,,,<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????<<<<<<<<,,,,,,,,<<<<<<<<????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<??????????<<,,,,,,<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<??????????<<,,,,,,<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????<<<<<<<<<<<<<<<<????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????<<,,,,??<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????<<,,,,??<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<????????????????????????<<<<<<<<??????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????????====??????????,,<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????,,,,??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????========??????????,,<<??????????========??????????<<<<????????????????????????????<<<<????????????????????????????<<<<??????????========??????????,,,,??????????========??????????<<<<??????????========??????????<<<<??????????========??????????<<<<??????????============??????,,,,??????================??????<<<<????????????????????????????<<<<????????????????????????????<<<<??????================????,,,,,,??????================??????<<<<????????========????????????<<<<??????================??????<<<<??????================??????,,,,??????================??????<<<<????????????????????????????<<<<????????????????????????????<<<<??????================????,,,,,,??????================??????<<<<????????========????????????<<<<??????================??????<<<<??????====================??,,,,??========================??<<<<??====??????????????==??==??<<,,??????==????????????==??????<<<<??======================,,,,,,<<??========================??<<<<????????========????????????<<<<??========================??<<<<??========================??,,,,??========================??<<<<??====??????????????==??==??<<,,??????==????????????==??????<<<<??======================,,,,,,<<??========================??<<<<????????========????????????<<<<??========================??<<<<??========================??,,,,??========================??<<<<??======??????????====??==??,,,,??????====????????==????==??<<<<??======================,,,,<<<<??========================??<<<<??==????========????????==??<<<<??========================??<<<<??========================??,,,,??========================??<<<<??======??????????====??==??,,,,??????====????????==????==??<<<<??======================,,,,<<<<??========================??<<<<??==????========????????==??<<<<??========================??<<<<??========================??,,<<??========================??<<<<??==================????==??,,,,??????============????====??<<<<??======================<<<<<<<<??========================??<<<<??====??==========??????==??<<<<??================????====??<<<<??========================??,,<<??========================??<<<<??==================????==??,,,,??????============????====??<<<<??======================<<<<<<<<??========================??<<<<??====??==========??????==??<<<<??================????====??<<<<??========================??<<<<??========================??<<<<??================????====??<<<<??==????========????======??<<<<??========================<<<<<<??========================??<<<<??======??================??<<<<??================??????==??<<<<??========================??<<<<??========================??<<<<??================????====??<<<<??==????========????======??<<<<??========================<<<<<<??========================??<<<<??======??================??<<<<??================??????==??<<<<??========================::<<,,::========================::<<<<::========================::<<<<::====????================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==================????==::<<<<::========================::<<,,::========================::<<<<::========================::<<<<::====????================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::==================????==::<<<<::========================::<<,,::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<,,::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::========================::<<<<::======================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::====================::::<<<<::::================,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,============,,,,,,<<<<<<<<,,,,,,========,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,====,,,,,,<<<<<<<<<<<<<<<<,,,,,,==